Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [702,2,Mod(5,702)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(702, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([10, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("702.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 702 = 2 \cdot 3^{3} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 702.bs (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.60549822189\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 5.18 | ||
Character | \(\chi\) | \(=\) | 702.5 |
Dual form | 702.2.bs.a.281.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/702\mathbb{Z}\right)^\times\).
\(n\) | \(379\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.996195 | − | 0.0871557i | −0.704416 | − | 0.0616284i | ||||
\(3\) | 1.50253 | + | 0.861624i | 0.867488 | + | 0.497459i | ||||
\(4\) | 0.984808 | + | 0.173648i | 0.492404 | + | 0.0868241i | ||||
\(5\) | −3.41514 | − | 1.59251i | −1.52730 | − | 0.712191i | −0.536048 | − | 0.844187i | \(-0.680084\pi\) |
−0.991250 | + | 0.131996i | \(0.957861\pi\) | |||||||
\(6\) | −1.42172 | − | 0.989299i | −0.580415 | − | 0.403880i | ||||
\(7\) | −0.396544 | + | 0.566323i | −0.149879 | + | 0.214050i | −0.887070 | − | 0.461635i | \(-0.847263\pi\) |
0.737191 | + | 0.675685i | \(0.236152\pi\) | |||||||
\(8\) | −0.965926 | − | 0.258819i | −0.341506 | − | 0.0915064i | ||||
\(9\) | 1.51521 | + | 2.58924i | 0.505070 | + | 0.863079i | ||||
\(10\) | 3.26335 | + | 1.88410i | 1.03196 | + | 0.595804i | ||||
\(11\) | 0.0763947 | − | 0.0356234i | 0.0230339 | − | 0.0107409i | −0.411067 | − | 0.911605i | \(-0.634844\pi\) |
0.434101 | + | 0.900864i | \(0.357066\pi\) | |||||||
\(12\) | 1.33009 | + | 1.10945i | 0.383963 | + | 0.320269i | ||||
\(13\) | 3.40619 | + | 1.18232i | 0.944706 | + | 0.327918i | ||||
\(14\) | 0.444393 | − | 0.529607i | 0.118769 | − | 0.141543i | ||||
\(15\) | −3.75922 | − | 5.33536i | −0.970627 | − | 1.37758i | ||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | −1.65313 | + | 2.86331i | −0.400943 | + | 0.694454i | −0.993840 | − | 0.110825i | \(-0.964651\pi\) |
0.592897 | + | 0.805278i | \(0.297984\pi\) | |||||||
\(18\) | −1.28378 | − | 2.71144i | −0.302589 | − | 0.639093i | ||||
\(19\) | −2.31211 | − | 0.619527i | −0.530434 | − | 0.142129i | −0.0163451 | − | 0.999866i | \(-0.505203\pi\) |
−0.514088 | + | 0.857737i | \(0.671870\pi\) | |||||||
\(20\) | −3.08672 | − | 2.16135i | −0.690212 | − | 0.483292i | ||||
\(21\) | −1.08378 | + | 0.509247i | −0.236500 | + | 0.111127i | ||||
\(22\) | −0.0792088 | + | 0.0288296i | −0.0168874 | + | 0.00614650i | ||||
\(23\) | −1.06220 | + | 6.02403i | −0.221484 | + | 1.25610i | 0.647811 | + | 0.761802i | \(0.275685\pi\) |
−0.869294 | + | 0.494295i | \(0.835426\pi\) | |||||||
\(24\) | −1.22833 | − | 1.22115i | −0.250732 | − | 0.249266i | ||||
\(25\) | 5.91319 | + | 7.04706i | 1.18264 | + | 1.40941i | ||||
\(26\) | −3.29018 | − | 1.47469i | −0.645257 | − | 0.289211i | ||||
\(27\) | 0.0457034 | + | 5.19595i | 0.00879562 | + | 0.999961i | ||||
\(28\) | −0.488860 | + | 0.488860i | −0.0923859 | + | 0.0923859i | ||||
\(29\) | 0.708038 | + | 0.843807i | 0.131479 | + | 0.156691i | 0.827767 | − | 0.561072i | \(-0.189611\pi\) |
−0.696288 | + | 0.717763i | \(0.745166\pi\) | |||||||
\(30\) | 3.27991 | + | 5.64270i | 0.598827 | + | 1.03021i | ||||
\(31\) | 4.46988 | + | 6.38365i | 0.802814 | + | 1.14654i | 0.986534 | + | 0.163559i | \(0.0522974\pi\) |
−0.183719 | + | 0.982979i | \(0.558814\pi\) | |||||||
\(32\) | −0.906308 | − | 0.422618i | −0.160214 | − | 0.0747091i | ||||
\(33\) | 0.145479 | + | 0.0122981i | 0.0253247 | + | 0.00214083i | ||||
\(34\) | 1.89639 | − | 2.70833i | 0.325229 | − | 0.464475i | ||||
\(35\) | 2.25613 | − | 1.30258i | 0.381355 | − | 0.220176i | ||||
\(36\) | 1.04257 | + | 2.81301i | 0.173762 | + | 0.468835i | ||||
\(37\) | −7.76046 | + | 2.07941i | −1.27581 | + | 0.341853i | −0.832255 | − | 0.554394i | \(-0.812950\pi\) |
−0.443557 | + | 0.896246i | \(0.646284\pi\) | |||||||
\(38\) | 2.24931 | + | 0.818683i | 0.364887 | + | 0.132808i | ||||
\(39\) | 4.09919 | + | 4.71133i | 0.656396 | + | 0.754417i | ||||
\(40\) | 2.88660 | + | 2.42215i | 0.456412 | + | 0.382975i | ||||
\(41\) | 0.653982 | + | 7.47505i | 0.102135 | + | 1.16741i | 0.858343 | + | 0.513076i | \(0.171494\pi\) |
−0.756208 | + | 0.654331i | \(0.772950\pi\) | |||||||
\(42\) | 1.12404 | − | 0.412852i | 0.173443 | − | 0.0637045i | ||||
\(43\) | 0.0990112 | − | 0.272031i | 0.0150991 | − | 0.0414844i | −0.931914 | − | 0.362679i | \(-0.881862\pi\) |
0.947013 | + | 0.321195i | \(0.104084\pi\) | |||||||
\(44\) | 0.0814200 | − | 0.0218164i | 0.0122745 | − | 0.00328895i | ||||
\(45\) | −1.05128 | − | 11.2556i | −0.156715 | − | 1.67788i | ||||
\(46\) | 1.58319 | − | 5.90853i | 0.233428 | − | 0.871165i | ||||
\(47\) | −2.57767 | − | 1.80491i | −0.375992 | − | 0.263273i | 0.370271 | − | 0.928924i | \(-0.379265\pi\) |
−0.746263 | + | 0.665651i | \(0.768154\pi\) | |||||||
\(48\) | 1.11723 | + | 1.32356i | 0.161258 | + | 0.191039i | ||||
\(49\) | 2.23067 | + | 6.12870i | 0.318667 | + | 0.875529i | ||||
\(50\) | −5.27649 | − | 7.53561i | −0.746209 | − | 1.06570i | ||||
\(51\) | −4.95097 | + | 2.87783i | −0.693275 | + | 0.402977i | ||||
\(52\) | 3.14913 | + | 1.75584i | 0.436706 | + | 0.243491i | ||||
\(53\) | − | 12.0185i | − | 1.65086i | −0.564502 | − | 0.825432i | \(-0.690932\pi\) | ||
0.564502 | − | 0.825432i | \(-0.309068\pi\) | |||||||
\(54\) | 0.407328 | − | 5.18016i | 0.0554303 | − | 0.704931i | ||||
\(55\) | −0.317629 | −0.0428291 | ||||||||
\(56\) | 0.529607 | − | 0.444393i | 0.0707717 | − | 0.0593845i | ||||
\(57\) | −2.94022 | − | 2.92303i | −0.389441 | − | 0.387164i | ||||
\(58\) | −0.631801 | − | 0.902305i | −0.0829595 | − | 0.118478i | ||||
\(59\) | −3.66909 | + | 7.86840i | −0.477675 | + | 1.02438i | 0.508863 | + | 0.860847i | \(0.330066\pi\) |
−0.986538 | + | 0.163530i | \(0.947712\pi\) | |||||||
\(60\) | −2.77563 | − | 5.90709i | −0.358333 | − | 0.762602i | ||||
\(61\) | −1.21303 | − | 6.87943i | −0.155313 | − | 0.880821i | −0.958500 | − | 0.285094i | \(-0.907975\pi\) |
0.803187 | − | 0.595727i | \(-0.203136\pi\) | |||||||
\(62\) | −3.89650 | − | 6.74894i | −0.494856 | − | 0.857116i | ||||
\(63\) | −2.06719 | − | 0.168647i | −0.260442 | − | 0.0212476i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | −9.74976 | − | 9.46218i | −1.20931 | − | 1.17364i | ||||
\(66\) | −0.143854 | − | 0.0249307i | −0.0177072 | − | 0.00306876i | ||||
\(67\) | −5.20056 | + | 0.454990i | −0.635349 | + | 0.0555858i | −0.400280 | − | 0.916393i | \(-0.631087\pi\) |
−0.235069 | + | 0.971979i | \(0.575532\pi\) | |||||||
\(68\) | −2.12522 | + | 2.53274i | −0.257721 | + | 0.307140i | ||||
\(69\) | −6.78643 | + | 8.13608i | −0.816991 | + | 0.979469i | ||||
\(70\) | −2.36107 | + | 1.10098i | −0.282202 | + | 0.131593i | ||||
\(71\) | 14.3602 | − | 3.84781i | 1.70425 | − | 0.456651i | 0.730244 | − | 0.683187i | \(-0.239407\pi\) |
0.974003 | + | 0.226535i | \(0.0727399\pi\) | |||||||
\(72\) | −0.793436 | − | 2.89317i | −0.0935073 | − | 0.340964i | ||||
\(73\) | −0.544508 | + | 2.03213i | −0.0637299 | + | 0.237843i | −0.990442 | − | 0.137928i | \(-0.955956\pi\) |
0.926712 | + | 0.375772i | \(0.122622\pi\) | |||||||
\(74\) | 7.91216 | − | 1.39513i | 0.919770 | − | 0.162180i | ||||
\(75\) | 2.81284 | + | 15.6834i | 0.324799 | + | 1.81096i | ||||
\(76\) | −2.16940 | − | 1.01161i | −0.248847 | − | 0.116039i | ||||
\(77\) | −0.0101195 | + | 0.0573903i | −0.00115322 | + | 0.00654023i | ||||
\(78\) | −3.67297 | − | 5.05067i | −0.415882 | − | 0.571876i | ||||
\(79\) | −5.19494 | + | 4.35907i | −0.584476 | + | 0.490434i | −0.886414 | − | 0.462894i | \(-0.846811\pi\) |
0.301938 | + | 0.953328i | \(0.402367\pi\) | |||||||
\(80\) | −2.66452 | − | 2.66452i | −0.297902 | − | 0.297902i | ||||
\(81\) | −4.40828 | + | 7.84647i | −0.489809 | + | 0.871830i | ||||
\(82\) | − | 7.50360i | − | 0.828634i | ||||||
\(83\) | 11.9234 | + | 1.04316i | 1.30876 | + | 0.114502i | 0.720094 | − | 0.693876i | \(-0.244099\pi\) |
0.588664 | + | 0.808378i | \(0.299654\pi\) | |||||||
\(84\) | −1.15574 | + | 0.313315i | −0.126102 | + | 0.0341855i | ||||
\(85\) | 10.2055 | − | 7.14598i | 1.10694 | − | 0.775090i | ||||
\(86\) | −0.122344 | + | 0.262367i | −0.0131926 | + | 0.0282917i | ||||
\(87\) | 0.336806 | + | 1.87791i | 0.0361094 | + | 0.201333i | ||||
\(88\) | −0.0830116 | + | 0.0146372i | −0.00884907 | + | 0.00156033i | ||||
\(89\) | −3.49700 | − | 0.937018i | −0.370681 | − | 0.0993237i | 0.0686693 | − | 0.997639i | \(-0.478125\pi\) |
−0.439350 | + | 0.898316i | \(0.644791\pi\) | |||||||
\(90\) | 0.0662877 | + | 11.3044i | 0.00698734 | + | 1.19159i | ||||
\(91\) | −2.02028 | + | 1.46016i | −0.211783 | + | 0.153066i | ||||
\(92\) | −2.09212 | + | 5.74806i | −0.218119 | + | 0.599277i | ||||
\(93\) | 1.21584 | + | 13.4430i | 0.126076 | + | 1.39397i | ||||
\(94\) | 2.41056 | + | 2.02270i | 0.248630 | + | 0.208625i | ||||
\(95\) | 6.90957 | + | 5.79782i | 0.708907 | + | 0.594844i | ||||
\(96\) | −0.997619 | − | 1.41589i | −0.101819 | − | 0.144509i | ||||
\(97\) | 7.00802 | − | 3.26789i | 0.711557 | − | 0.331804i | −0.0329152 | − | 0.999458i | \(-0.510479\pi\) |
0.744472 | + | 0.667654i | \(0.232701\pi\) | |||||||
\(98\) | −1.68803 | − | 6.29980i | −0.170516 | − | 0.636376i | ||||
\(99\) | 0.207991 | + | 0.143827i | 0.0209039 | + | 0.0144551i | ||||
\(100\) | 4.59964 | + | 7.96681i | 0.459964 | + | 0.796681i | ||||
\(101\) | −1.21665 | − | 6.89996i | −0.121061 | − | 0.686572i | −0.983570 | − | 0.180529i | \(-0.942219\pi\) |
0.862509 | − | 0.506043i | \(-0.168892\pi\) | |||||||
\(102\) | 5.18295 | − | 2.43538i | 0.513189 | − | 0.241138i | ||||
\(103\) | −0.985457 | − | 2.70752i | −0.0971000 | − | 0.266780i | 0.881627 | − | 0.471947i | \(-0.156449\pi\) |
−0.978727 | + | 0.205167i | \(0.934226\pi\) | |||||||
\(104\) | −2.98412 | − | 2.02362i | −0.292617 | − | 0.198433i | ||||
\(105\) | 4.51224 | − | 0.0132295i | 0.440349 | − | 0.00129107i | ||||
\(106\) | −1.04748 | + | 11.9727i | −0.101740 | + | 1.16289i | ||||
\(107\) | 19.8746i | 1.92135i | 0.277681 | + | 0.960673i | \(0.410434\pi\) | ||||
−0.277681 | + | 0.960673i | \(0.589566\pi\) | |||||||
\(108\) | −0.857258 | + | 5.12495i | −0.0824897 | + | 0.493149i | ||||
\(109\) | 4.46411 | − | 4.46411i | 0.427585 | − | 0.427585i | −0.460220 | − | 0.887805i | \(-0.652230\pi\) |
0.887805 | + | 0.460220i | \(0.152230\pi\) | |||||||
\(110\) | 0.316421 | + | 0.0276832i | 0.0301695 | + | 0.00263949i | ||||
\(111\) | −13.4520 | − | 3.56222i | −1.27681 | − | 0.338111i | ||||
\(112\) | −0.566323 | + | 0.396544i | −0.0535125 | + | 0.0374699i | ||||
\(113\) | −6.46630 | − | 17.7660i | −0.608298 | − | 1.67129i | −0.733944 | − | 0.679210i | \(-0.762323\pi\) |
0.125646 | − | 0.992075i | \(-0.459900\pi\) | |||||||
\(114\) | 2.67427 | + | 3.16816i | 0.250468 | + | 0.296725i | ||||
\(115\) | 13.2209 | − | 18.8814i | 1.23285 | − | 1.76070i | ||||
\(116\) | 0.550756 | + | 0.953937i | 0.0511364 | + | 0.0885708i | ||||
\(117\) | 2.09977 | + | 10.6109i | 0.194124 | + | 0.980977i | ||||
\(118\) | 4.34091 | − | 7.51867i | 0.399613 | − | 0.692150i | ||||
\(119\) | −0.966018 | − | 2.07163i | −0.0885547 | − | 0.189906i | ||||
\(120\) | 2.25024 | + | 6.12652i | 0.205418 | + | 0.559273i | ||||
\(121\) | −7.06610 | + | 8.42105i | −0.642372 | + | 0.765550i | ||||
\(122\) | 0.608832 | + | 6.95898i | 0.0551210 | + | 0.630036i | ||||
\(123\) | −5.45805 | + | 11.7950i | −0.492136 | + | 1.06352i | ||||
\(124\) | 3.29346 | + | 7.06286i | 0.295762 | + | 0.634263i | ||||
\(125\) | −4.09548 | − | 15.2845i | −0.366311 | − | 1.36709i | ||||
\(126\) | 2.04463 | + | 0.348173i | 0.182150 | + | 0.0310177i | ||||
\(127\) | 9.30751 | − | 5.37369i | 0.825908 | − | 0.476838i | −0.0265415 | − | 0.999648i | \(-0.508449\pi\) |
0.852450 | + | 0.522809i | \(0.175116\pi\) | |||||||
\(128\) | −0.819152 | − | 0.573576i | −0.0724035 | − | 0.0506975i | ||||
\(129\) | 0.383156 | − | 0.323425i | 0.0337350 | − | 0.0284760i | ||||
\(130\) | 8.88797 | + | 10.2759i | 0.779527 | + | 0.901258i | ||||
\(131\) | 6.50996 | + | 1.14788i | 0.568778 | + | 0.100291i | 0.450639 | − | 0.892706i | \(-0.351196\pi\) |
0.118139 | + | 0.992997i | \(0.462307\pi\) | |||||||
\(132\) | 0.141134 | + | 0.0373735i | 0.0122841 | + | 0.00325295i | ||||
\(133\) | 1.26770 | − | 1.06373i | 0.109924 | − | 0.0922371i | ||||
\(134\) | 5.22042 | 0.450976 | ||||||||
\(135\) | 8.11851 | − | 17.8177i | 0.698730 | − | 1.53350i | ||||
\(136\) | 2.33788 | − | 2.33788i | 0.200471 | − | 0.200471i | ||||
\(137\) | −0.860203 | + | 9.83216i | −0.0734921 | + | 0.840018i | 0.866579 | + | 0.499040i | \(0.166314\pi\) |
−0.940071 | + | 0.340979i | \(0.889242\pi\) | |||||||
\(138\) | 7.46972 | − | 7.51365i | 0.635864 | − | 0.639604i | ||||
\(139\) | 0.494940 | − | 2.80694i | 0.0419803 | − | 0.238082i | −0.956596 | − | 0.291416i | \(-0.905874\pi\) |
0.998577 | + | 0.0533339i | \(0.0169848\pi\) | |||||||
\(140\) | 2.44804 | − | 0.891014i | 0.206897 | − | 0.0753045i | ||||
\(141\) | −2.31789 | − | 4.93291i | −0.195201 | − | 0.415426i | ||||
\(142\) | −14.6410 | + | 2.58159i | −1.22864 | + | 0.216643i | ||||
\(143\) | 0.302333 | − | 0.0310168i | 0.0252824 | − | 0.00259376i | ||||
\(144\) | 0.538260 | + | 2.95132i | 0.0448550 | + | 0.245943i | ||||
\(145\) | −1.07428 | − | 4.00928i | −0.0892143 | − | 0.332952i | ||||
\(146\) | 0.719549 | − | 1.97694i | 0.0595503 | − | 0.163613i | ||||
\(147\) | −1.92899 | + | 11.1306i | −0.159100 | + | 0.918034i | ||||
\(148\) | −8.00365 | + | 0.700228i | −0.657896 | + | 0.0575584i | ||||
\(149\) | 0.621130 | + | 7.09955i | 0.0508849 | + | 0.581618i | 0.978246 | + | 0.207449i | \(0.0665162\pi\) |
−0.927361 | + | 0.374168i | \(0.877928\pi\) | |||||||
\(150\) | −1.43524 | − | 15.8689i | −0.117187 | − | 1.29569i | ||||
\(151\) | −8.92630 | − | 19.1425i | −0.726412 | − | 1.55780i | −0.826576 | − | 0.562825i | \(-0.809714\pi\) |
0.100164 | − | 0.994971i | \(-0.468063\pi\) | |||||||
\(152\) | 2.07298 | + | 1.19683i | 0.168141 | + | 0.0970761i | ||||
\(153\) | −9.91861 | + | 0.0581617i | −0.801872 | + | 0.00470209i | ||||
\(154\) | 0.0150829 | − | 0.0562900i | 0.00121541 | − | 0.00453597i | ||||
\(155\) | −5.09927 | − | 28.9194i | −0.409583 | − | 2.32286i | ||||
\(156\) | 3.21880 | + | 5.35157i | 0.257710 | + | 0.428469i | ||||
\(157\) | −15.8970 | + | 5.78605i | −1.26872 | + | 0.461777i | −0.886687 | − | 0.462371i | \(-0.846999\pi\) |
−0.382035 | + | 0.924148i | \(0.624777\pi\) | |||||||
\(158\) | 5.55509 | − | 3.88971i | 0.441939 | − | 0.309449i | ||||
\(159\) | 10.3554 | − | 18.0581i | 0.821237 | − | 1.43210i | ||||
\(160\) | 2.42215 | + | 2.88660i | 0.191488 | + | 0.228206i | ||||
\(161\) | −2.99034 | − | 2.99034i | −0.235672 | − | 0.235672i | ||||
\(162\) | 5.07537 | − | 7.43240i | 0.398759 | − | 0.583945i | ||||
\(163\) | 0.159624 | + | 0.159624i | 0.0125027 | + | 0.0125027i | 0.713330 | − | 0.700828i | \(-0.247186\pi\) |
−0.700828 | + | 0.713330i | \(0.747186\pi\) | |||||||
\(164\) | −0.653982 | + | 7.47505i | −0.0510674 | + | 0.583703i | ||||
\(165\) | −0.477248 | − | 0.273677i | −0.0371537 | − | 0.0213057i | ||||
\(166\) | −11.7871 | − | 2.07838i | −0.914854 | − | 0.161313i | ||||
\(167\) | 1.41269 | − | 3.02952i | 0.109317 | − | 0.234431i | −0.844037 | − | 0.536284i | \(-0.819827\pi\) |
0.953354 | + | 0.301853i | \(0.0976052\pi\) | |||||||
\(168\) | 1.17865 | − | 0.211393i | 0.0909349 | − | 0.0163093i | ||||
\(169\) | 10.2042 | + | 8.05443i | 0.784940 | + | 0.619572i | ||||
\(170\) | −10.7895 | + | 6.22932i | −0.827516 | + | 0.477767i | ||||
\(171\) | −1.89922 | − | 6.92530i | −0.145237 | − | 0.529591i | ||||
\(172\) | 0.144745 | − | 0.250705i | 0.0110367 | − | 0.0191161i | ||||
\(173\) | −1.26205 | − | 0.459349i | −0.0959521 | − | 0.0349237i | 0.293598 | − | 0.955929i | \(-0.405147\pi\) |
−0.389550 | + | 0.921005i | \(0.627369\pi\) | |||||||
\(174\) | −0.171854 | − | 1.90012i | −0.0130282 | − | 0.144048i | ||||
\(175\) | −6.33575 | + | 0.554306i | −0.478938 | + | 0.0419016i | ||||
\(176\) | 0.0839714 | − | 0.00734655i | 0.00632959 | − | 0.000553767i | ||||
\(177\) | −12.2925 | + | 8.66114i | −0.923963 | + | 0.651011i | ||||
\(178\) | 3.40203 | + | 1.23824i | 0.254993 | + | 0.0928097i | ||||
\(179\) | 4.48376 | − | 7.76609i | 0.335132 | − | 0.580465i | −0.648378 | − | 0.761318i | \(-0.724553\pi\) |
0.983510 | + | 0.180853i | \(0.0578859\pi\) | |||||||
\(180\) | 0.919207 | − | 11.2671i | 0.0685136 | − | 0.839804i | ||||
\(181\) | 16.1997 | − | 9.35289i | 1.20411 | − | 0.695195i | 0.242645 | − | 0.970115i | \(-0.421985\pi\) |
0.961467 | + | 0.274920i | \(0.0886515\pi\) | |||||||
\(182\) | 2.13985 | − | 1.27852i | 0.158616 | − | 0.0947705i | ||||
\(183\) | 4.10487 | − | 11.3817i | 0.303440 | − | 0.841363i | ||||
\(184\) | 2.58514 | − | 5.54385i | 0.190579 | − | 0.408698i | ||||
\(185\) | 29.8146 | + | 5.25711i | 2.19201 | + | 0.386510i | ||||
\(186\) | −0.0395745 | − | 13.4978i | −0.00290174 | − | 0.989708i | ||||
\(187\) | −0.0242896 | + | 0.277631i | −0.00177623 | + | 0.0203024i | ||||
\(188\) | −2.22509 | − | 2.22509i | −0.162282 | − | 0.162282i | ||||
\(189\) | −2.96071 | − | 2.03454i | −0.215360 | − | 0.147991i | ||||
\(190\) | −6.37797 | − | 6.37797i | −0.462706 | − | 0.462706i | ||||
\(191\) | −8.50116 | − | 10.1313i | −0.615123 | − | 0.733075i | 0.365101 | − | 0.930968i | \(-0.381034\pi\) |
−0.980224 | + | 0.197893i | \(0.936590\pi\) | |||||||
\(192\) | 0.870420 | + | 1.49745i | 0.0628171 | + | 0.108069i | ||||
\(193\) | −0.946476 | + | 0.662729i | −0.0681288 | + | 0.0477043i | −0.607145 | − | 0.794591i | \(-0.707685\pi\) |
0.539016 | + | 0.842296i | \(0.318796\pi\) | |||||||
\(194\) | −7.26617 | + | 2.64467i | −0.521681 | + | 0.189876i | ||||
\(195\) | −6.49649 | − | 22.6179i | −0.465223 | − | 1.61970i | ||||
\(196\) | 1.13254 | + | 6.42295i | 0.0808956 | + | 0.458782i | ||||
\(197\) | −2.01329 | + | 7.51370i | −0.143441 | + | 0.535329i | 0.856379 | + | 0.516348i | \(0.172709\pi\) |
−0.999820 | + | 0.0189810i | \(0.993958\pi\) | |||||||
\(198\) | −0.194665 | − | 0.161407i | −0.0138342 | − | 0.0114707i | ||||
\(199\) | −10.1347 | − | 5.85127i | −0.718430 | − | 0.414786i | 0.0957446 | − | 0.995406i | \(-0.469477\pi\) |
−0.814175 | + | 0.580620i | \(0.802810\pi\) | |||||||
\(200\) | −3.88779 | − | 8.33738i | −0.274908 | − | 0.589542i | ||||
\(201\) | −8.20604 | − | 3.79729i | −0.578809 | − | 0.267840i | ||||
\(202\) | 0.610648 | + | 6.97974i | 0.0429651 | + | 0.491093i | ||||
\(203\) | −0.758635 | + | 0.0663720i | −0.0532457 | + | 0.00465840i | ||||
\(204\) | −5.37549 | + | 1.97439i | −0.376359 | + | 0.138235i | ||||
\(205\) | 9.67063 | − | 26.5698i | 0.675426 | − | 1.85572i | ||||
\(206\) | 0.745731 | + | 2.78311i | 0.0519575 | + | 0.193908i | ||||
\(207\) | −17.2071 | + | 6.37738i | −1.19597 | + | 0.443258i | ||||
\(208\) | 2.79639 | + | 2.27601i | 0.193895 | + | 0.157813i | ||||
\(209\) | −0.198702 | + | 0.0350366i | −0.0137445 | + | 0.00242353i | ||||
\(210\) | −4.49622 | − | 0.380088i | −0.310269 | − | 0.0262286i | ||||
\(211\) | 18.6319 | − | 6.78147i | 1.28268 | − | 0.466856i | 0.391359 | − | 0.920238i | \(-0.372005\pi\) |
0.891316 | + | 0.453382i | \(0.149783\pi\) | |||||||
\(212\) | 2.08699 | − | 11.8359i | 0.143335 | − | 0.812892i | ||||
\(213\) | 24.8921 | + | 6.59166i | 1.70558 | + | 0.451653i | ||||
\(214\) | 1.73218 | − | 19.7989i | 0.118410 | − | 1.35343i | ||||
\(215\) | −0.771349 | + | 0.771349i | −0.0526056 | + | 0.0526056i | ||||
\(216\) | 1.30067 | − | 5.03073i | 0.0884990 | − | 0.342298i | ||||
\(217\) | −5.38771 | −0.365742 | ||||||||
\(218\) | −4.83620 | + | 4.05805i | −0.327549 | + | 0.274846i | ||||
\(219\) | −2.56908 | + | 2.58419i | −0.173602 | + | 0.174623i | ||||
\(220\) | −0.312804 | − | 0.0551558i | −0.0210892 | − | 0.00371860i | ||||
\(221\) | −9.01623 | + | 7.79842i | −0.606497 | + | 0.524578i | ||||
\(222\) | 13.0904 | + | 4.72108i | 0.878567 | + | 0.316858i | ||||
\(223\) | −6.12637 | − | 4.28973i | −0.410252 | − | 0.287262i | 0.350176 | − | 0.936684i | \(-0.386122\pi\) |
−0.760428 | + | 0.649422i | \(0.775011\pi\) | |||||||
\(224\) | 0.598729 | − | 0.345676i | 0.0400043 | − | 0.0230965i | ||||
\(225\) | −9.28679 | + | 25.9884i | −0.619119 | + | 1.73256i | ||||
\(226\) | 4.89328 | + | 18.2620i | 0.325496 | + | 1.21477i | ||||
\(227\) | −9.98452 | − | 21.4119i | −0.662696 | − | 1.42116i | −0.893907 | − | 0.448252i | \(-0.852047\pi\) |
0.231211 | − | 0.972904i | \(-0.425731\pi\) | |||||||
\(228\) | −2.38797 | − | 3.38918i | −0.158147 | − | 0.224454i | ||||
\(229\) | −0.446787 | − | 5.10680i | −0.0295245 | − | 0.337467i | −0.996563 | − | 0.0828368i | \(-0.973602\pi\) |
0.967039 | − | 0.254630i | \(-0.0819536\pi\) | |||||||
\(230\) | −14.8162 | + | 17.6572i | −0.976950 | + | 1.16428i | ||||
\(231\) | −0.0646537 | + | 0.0775117i | −0.00425390 | + | 0.00509989i | ||||
\(232\) | −0.465519 | − | 0.998308i | −0.0305628 | − | 0.0655421i | ||||
\(233\) | 0.540730 | − | 0.936572i | 0.0354244 | − | 0.0613569i | −0.847770 | − | 0.530365i | \(-0.822055\pi\) |
0.883194 | + | 0.469008i | \(0.155388\pi\) | |||||||
\(234\) | −1.16698 | − | 10.7535i | −0.0762878 | − | 0.702979i | ||||
\(235\) | 5.92880 | + | 10.2690i | 0.386752 | + | 0.669874i | ||||
\(236\) | −4.97968 | + | 7.11173i | −0.324150 | + | 0.462934i | ||||
\(237\) | −11.5614 | + | 2.07356i | −0.750996 | + | 0.134692i | ||||
\(238\) | 0.781787 | + | 2.14794i | 0.0506757 | + | 0.139230i | ||||
\(239\) | 5.19135 | − | 3.63502i | 0.335800 | − | 0.235130i | −0.393498 | − | 0.919325i | \(-0.628735\pi\) |
0.729299 | + | 0.684195i | \(0.239846\pi\) | |||||||
\(240\) | −1.70771 | − | 6.29933i | −0.110232 | − | 0.406620i | ||||
\(241\) | 19.8093 | + | 1.73309i | 1.27603 | + | 0.111638i | 0.704951 | − | 0.709256i | \(-0.250969\pi\) |
0.571081 | + | 0.820894i | \(0.306524\pi\) | |||||||
\(242\) | 7.77315 | − | 7.77315i | 0.499677 | − | 0.499677i | ||||
\(243\) | −13.3843 | + | 7.99129i | −0.858603 | + | 0.512641i | ||||
\(244\) | − | 6.98556i | − | 0.447205i | ||||||
\(245\) | 2.14196 | − | 24.4828i | 0.136845 | − | 1.56415i | ||||
\(246\) | 6.46528 | − | 11.2744i | 0.412211 | − | 0.718830i | ||||
\(247\) | −7.14298 | − | 4.84388i | −0.454497 | − | 0.308209i | ||||
\(248\) | −2.66536 | − | 7.32302i | −0.169251 | − | 0.465012i | ||||
\(249\) | 17.0164 | + | 11.8408i | 1.07837 | + | 0.750382i | ||||
\(250\) | 2.74776 | + | 15.5833i | 0.173784 | + | 0.985576i | ||||
\(251\) | 9.89890 | + | 17.1454i | 0.624813 | + | 1.08221i | 0.988577 | + | 0.150717i | \(0.0481583\pi\) |
−0.363764 | + | 0.931491i | \(0.618508\pi\) | |||||||
\(252\) | −2.00650 | − | 0.525049i | −0.126398 | − | 0.0330750i | ||||
\(253\) | 0.133450 | + | 0.498043i | 0.00838994 | + | 0.0313117i | ||||
\(254\) | −9.74044 | + | 4.54204i | −0.611170 | + | 0.284993i | ||||
\(255\) | 21.4913 | − | 1.94375i | 1.34583 | − | 0.121722i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 20.1157 | + | 16.8790i | 1.25478 | + | 1.05289i | 0.996218 | + | 0.0868912i | \(0.0276933\pi\) |
0.258563 | + | 0.965995i | \(0.416751\pi\) | |||||||
\(258\) | −0.409886 | + | 0.288800i | −0.0255184 | + | 0.0179799i | ||||
\(259\) | 1.89974 | − | 5.21950i | 0.118044 | − | 0.324324i | ||||
\(260\) | −7.95855 | − | 11.0115i | −0.493568 | − | 0.682902i | ||||
\(261\) | −1.11199 | + | 3.11182i | −0.0688304 | + | 0.192617i | ||||
\(262\) | −6.38514 | − | 1.71089i | −0.394476 | − | 0.105699i | ||||
\(263\) | 12.1943 | − | 2.15019i | 0.751934 | − | 0.132586i | 0.215471 | − | 0.976510i | \(-0.430871\pi\) |
0.536463 | + | 0.843924i | \(0.319760\pi\) | |||||||
\(264\) | −0.137339 | − | 0.0495319i | −0.00845266 | − | 0.00304848i | ||||
\(265\) | −19.1395 | + | 41.0448i | −1.17573 | + | 2.52136i | ||||
\(266\) | −1.35559 | + | 0.949194i | −0.0831165 | + | 0.0581988i | ||||
\(267\) | −4.44700 | − | 4.42100i | −0.272152 | − | 0.270561i | ||||
\(268\) | −5.20056 | − | 0.454990i | −0.317675 | − | 0.0277929i | ||||
\(269\) | − | 18.1363i | − | 1.10579i | −0.833251 | − | 0.552895i | \(-0.813523\pi\) | ||
0.833251 | − | 0.552895i | \(-0.186477\pi\) | |||||||
\(270\) | −9.64053 | + | 17.0423i | −0.586704 | + | 1.03716i | ||||
\(271\) | −6.17839 | − | 6.17839i | −0.375311 | − | 0.375311i | 0.494096 | − | 0.869407i | \(-0.335499\pi\) |
−0.869407 | + | 0.494096i | \(0.835499\pi\) | |||||||
\(272\) | −2.53274 | + | 2.12522i | −0.153570 | + | 0.128861i | ||||
\(273\) | −4.29364 | + | 0.453216i | −0.259863 | + | 0.0274299i | ||||
\(274\) | 1.71386 | − | 9.71978i | 0.103538 | − | 0.587193i | ||||
\(275\) | 0.702776 | + | 0.327710i | 0.0423790 | + | 0.0197617i | ||||
\(276\) | −8.09615 | + | 6.83402i | −0.487331 | + | 0.411360i | ||||
\(277\) | −14.7793 | + | 2.60599i | −0.888004 | + | 0.156579i | −0.599000 | − | 0.800749i | \(-0.704435\pi\) |
−0.289004 | + | 0.957328i | \(0.593324\pi\) | |||||||
\(278\) | −0.737698 | + | 2.75313i | −0.0442442 | + | 0.165122i | ||||
\(279\) | −9.75598 | + | 21.2461i | −0.584075 | + | 1.27197i | ||||
\(280\) | −2.51638 | + | 0.674263i | −0.150383 | + | 0.0402949i | ||||
\(281\) | −29.2542 | + | 13.6415i | −1.74516 | + | 0.813782i | −0.758363 | + | 0.651832i | \(0.774001\pi\) |
−0.986799 | + | 0.161950i | \(0.948222\pi\) | |||||||
\(282\) | 1.87914 | + | 5.11616i | 0.111901 | + | 0.304663i | ||||
\(283\) | 9.05322 | − | 10.7892i | 0.538158 | − | 0.641352i | −0.426616 | − | 0.904433i | \(-0.640294\pi\) |
0.964774 | + | 0.263081i | \(0.0847387\pi\) | |||||||
\(284\) | 14.8102 | − | 1.29573i | 0.878826 | − | 0.0768873i | ||||
\(285\) | 5.38632 | + | 14.6649i | 0.319058 | + | 0.868672i | ||||
\(286\) | −0.303886 | + | 0.00454872i | −0.0179691 | + | 0.000268971i | ||||
\(287\) | −4.49263 | − | 2.59382i | −0.265191 | − | 0.153108i | ||||
\(288\) | −0.278987 | − | 2.98700i | −0.0164395 | − | 0.176011i | ||||
\(289\) | 3.03432 | + | 5.25560i | 0.178489 | + | 0.309153i | ||||
\(290\) | 0.720763 | + | 4.08765i | 0.0423246 | + | 0.240035i | ||||
\(291\) | 13.3455 | + | 1.12816i | 0.782326 | + | 0.0661339i | ||||
\(292\) | −0.889112 | + | 1.90671i | −0.0520314 | + | 0.111582i | ||||
\(293\) | 14.6352 | + | 20.9012i | 0.854996 | + | 1.22106i | 0.973632 | + | 0.228123i | \(0.0732588\pi\) |
−0.118636 | + | 0.992938i | \(0.537852\pi\) | |||||||
\(294\) | 2.89174 | − | 10.9201i | 0.168650 | − | 0.636873i | ||||
\(295\) | 25.0610 | − | 21.0286i | 1.45911 | − | 1.22433i | ||||
\(296\) | 8.03422 | 0.466979 | ||||||||
\(297\) | 0.188589 | + | 0.395315i | 0.0109430 | + | 0.0229385i | ||||
\(298\) | − | 7.12667i | − | 0.412837i | ||||||
\(299\) | −10.7404 | + | 19.2631i | −0.621133 | + | 1.11401i | ||||
\(300\) | 0.0467159 | + | 15.9336i | 0.00269715 | + | 0.919924i | ||||
\(301\) | 0.114795 | + | 0.163945i | 0.00661669 | + | 0.00944961i | ||||
\(302\) | 7.22396 | + | 19.8477i | 0.415692 | + | 1.14210i | ||||
\(303\) | 4.11711 | − | 11.4157i | 0.236522 | − | 0.655815i | ||||
\(304\) | −1.96078 | − | 1.37295i | −0.112458 | − | 0.0787442i | ||||
\(305\) | −6.81288 | + | 25.4260i | −0.390104 | + | 1.45589i | ||||
\(306\) | 9.88594 | + | 0.806524i | 0.565141 | + | 0.0461059i | ||||
\(307\) | −5.01401 | + | 1.34350i | −0.286165 | + | 0.0766776i | −0.399046 | − | 0.916931i | \(-0.630659\pi\) |
0.112881 | + | 0.993608i | \(0.463992\pi\) | |||||||
\(308\) | −0.0199314 | + | 0.0547612i | −0.00113570 | + | 0.00312031i | ||||
\(309\) | 0.852183 | − | 4.91723i | 0.0484790 | − | 0.279732i | ||||
\(310\) | 2.55937 | + | 29.2538i | 0.145363 | + | 1.66150i | ||||
\(311\) | 19.1299 | + | 16.0519i | 1.08476 | + | 0.910221i | 0.996307 | − | 0.0858591i | \(-0.0273635\pi\) |
0.0884523 | + | 0.996080i | \(0.471808\pi\) | |||||||
\(312\) | −2.74013 | − | 5.61175i | −0.155129 | − | 0.317703i | ||||
\(313\) | 2.31968 | + | 0.844293i | 0.131116 | + | 0.0477223i | 0.406745 | − | 0.913542i | \(-0.366664\pi\) |
−0.275629 | + | 0.961264i | \(0.588886\pi\) | |||||||
\(314\) | 16.3408 | − | 4.37851i | 0.922167 | − | 0.247094i | ||||
\(315\) | 6.79118 | + | 3.86797i | 0.382640 | + | 0.217936i | ||||
\(316\) | −5.87296 | + | 3.39075i | −0.330380 | + | 0.190745i | ||||
\(317\) | −4.83380 | + | 6.90339i | −0.271493 | + | 0.387733i | −0.931627 | − | 0.363415i | \(-0.881611\pi\) |
0.660134 | + | 0.751148i | \(0.270500\pi\) | |||||||
\(318\) | −11.8899 | + | 17.0869i | −0.666751 | + | 0.958185i | ||||
\(319\) | 0.0841496 | + | 0.0392396i | 0.00471147 | + | 0.00219700i | ||||
\(320\) | −2.16135 | − | 3.08672i | −0.120823 | − | 0.172553i | ||||
\(321\) | −17.1244 | + | 29.8622i | −0.955791 | + | 1.66674i | ||||
\(322\) | 2.71833 | + | 3.23958i | 0.151487 | + | 0.180535i | ||||
\(323\) | 5.59611 | − | 5.59611i | 0.311376 | − | 0.311376i | ||||
\(324\) | −5.70384 | + | 6.96177i | −0.316880 | + | 0.386765i | ||||
\(325\) | 11.8095 | + | 30.9949i | 0.655074 | + | 1.71929i | ||||
\(326\) | −0.145104 | − | 0.172928i | −0.00803657 | − | 0.00957761i | ||||
\(327\) | 10.5539 | − | 2.86109i | 0.583630 | − | 0.158219i | ||||
\(328\) | 1.30299 | − | 7.38961i | 0.0719454 | − | 0.408023i | ||||
\(329\) | 2.04432 | − | 0.744072i | 0.112707 | − | 0.0410220i | ||||
\(330\) | 0.451580 | + | 0.314231i | 0.0248587 | + | 0.0172978i | ||||
\(331\) | 2.12658 | + | 1.48905i | 0.116887 | + | 0.0818454i | 0.630558 | − | 0.776142i | \(-0.282826\pi\) |
−0.513671 | + | 0.857987i | \(0.671715\pi\) | |||||||
\(332\) | 11.5611 | + | 3.09778i | 0.634496 | + | 0.170013i | ||||
\(333\) | −17.1428 | − | 16.9429i | −0.939419 | − | 0.928466i | ||||
\(334\) | −1.67135 | + | 2.89487i | −0.0914524 | + | 0.158400i | ||||
\(335\) | 18.4852 | + | 6.72807i | 1.00996 | + | 0.367594i | ||||
\(336\) | −1.19259 | + | 0.107862i | −0.0650611 | + | 0.00588438i | ||||
\(337\) | −19.7269 | + | 23.5096i | −1.07459 | + | 1.28065i | −0.116809 | + | 0.993154i | \(0.537267\pi\) |
−0.957782 | + | 0.287494i | \(0.907178\pi\) | |||||||
\(338\) | −9.46340 | − | 8.91314i | −0.514741 | − | 0.484811i | ||||
\(339\) | 5.59179 | − | 32.2655i | 0.303704 | − | 1.75242i | ||||
\(340\) | 11.2914 | − | 5.26524i | 0.612360 | − | 0.285548i | ||||
\(341\) | 0.568883 | + | 0.328445i | 0.0308067 | + | 0.0177863i | ||||
\(342\) | 1.28842 | + | 7.06448i | 0.0696695 | + | 0.382003i | ||||
\(343\) | −9.02995 | − | 2.41957i | −0.487572 | − | 0.130644i | ||||
\(344\) | −0.166044 | + | 0.237136i | −0.00895251 | + | 0.0127855i | ||||
\(345\) | 36.1334 | − | 16.9784i | 1.94536 | − | 0.914089i | ||||
\(346\) | 1.21721 | + | 0.567597i | 0.0654379 | + | 0.0305142i | ||||
\(347\) | −23.7637 | − | 4.19018i | −1.27570 | − | 0.224941i | −0.505548 | − | 0.862798i | \(-0.668710\pi\) |
−0.770155 | + | 0.637857i | \(0.779821\pi\) | |||||||
\(348\) | 0.00559371 | + | 1.90787i | 0.000299854 | + | 0.102272i | ||||
\(349\) | 14.8193 | + | 1.29652i | 0.793261 | + | 0.0694013i | 0.476580 | − | 0.879131i | \(-0.341876\pi\) |
0.316680 | + | 0.948532i | \(0.397432\pi\) | |||||||
\(350\) | 6.35995 | 0.339954 | ||||||||
\(351\) | −5.98762 | + | 17.7524i | −0.319596 | + | 0.947554i | ||||
\(352\) | −0.0842922 | −0.00449279 | ||||||||
\(353\) | −27.2976 | − | 2.38823i | −1.45291 | − | 0.127113i | −0.666816 | − | 0.745223i | \(-0.732343\pi\) |
−0.786092 | + | 0.618110i | \(0.787899\pi\) | |||||||
\(354\) | 13.0006 | − | 7.55682i | 0.690975 | − | 0.401640i | ||||
\(355\) | −55.1699 | − | 9.72795i | −2.92812 | − | 0.516306i | ||||
\(356\) | −3.28116 | − | 1.53003i | −0.173901 | − | 0.0810914i | ||||
\(357\) | 0.333494 | − | 3.94504i | 0.0176504 | − | 0.208794i | ||||
\(358\) | −5.14355 | + | 7.34576i | −0.271845 | + | 0.388235i | ||||
\(359\) | 17.6453 | + | 4.72804i | 0.931282 | + | 0.249536i | 0.692401 | − | 0.721513i | \(-0.256553\pi\) |
0.238881 | + | 0.971049i | \(0.423220\pi\) | |||||||
\(360\) | −1.89771 | + | 11.1442i | −0.100018 | + | 0.587349i | ||||
\(361\) | −11.4925 | − | 6.63518i | −0.604866 | − | 0.349220i | ||||
\(362\) | −16.9532 | + | 7.90540i | −0.891040 | + | 0.415499i | ||||
\(363\) | −17.8728 | + | 6.56458i | −0.938079 | + | 0.344551i | ||||
\(364\) | −2.24314 | + | 1.08716i | −0.117573 | + | 0.0569826i | ||||
\(365\) | 5.09576 | − | 6.07289i | 0.266724 | − | 0.317870i | ||||
\(366\) | −5.08123 | + | 10.9807i | −0.265600 | + | 0.573969i | ||||
\(367\) | 11.9684 | + | 4.35614i | 0.624745 | + | 0.227388i | 0.634942 | − | 0.772560i | \(-0.281024\pi\) |
−0.0101978 | + | 0.999948i | \(0.503246\pi\) | |||||||
\(368\) | −3.05848 | + | 5.29744i | −0.159434 | + | 0.276148i | ||||
\(369\) | −18.3637 | + | 13.0196i | −0.955979 | + | 0.677772i | ||||
\(370\) | −29.2429 | − | 7.83561i | −1.52027 | − | 0.407354i | ||||
\(371\) | 6.80634 | + | 4.76585i | 0.353367 | + | 0.247431i | ||||
\(372\) | −1.13699 | + | 13.4499i | −0.0589501 | + | 0.697345i | ||||
\(373\) | −25.2210 | + | 9.17971i | −1.30590 | + | 0.475307i | −0.898912 | − | 0.438128i | \(-0.855642\pi\) |
−0.406983 | + | 0.913436i | \(0.633419\pi\) | |||||||
\(374\) | 0.0483944 | − | 0.274458i | 0.00250241 | − | 0.0141919i | ||||
\(375\) | 7.01593 | − | 26.4943i | 0.362301 | − | 1.36816i | ||||
\(376\) | 2.02270 | + | 2.41056i | 0.104313 | + | 0.124315i | ||||
\(377\) | 1.41406 | + | 3.71129i | 0.0728276 | + | 0.191141i | ||||
\(378\) | 2.77212 | + | 2.28484i | 0.142583 | + | 0.117519i | ||||
\(379\) | 5.76343 | − | 5.76343i | 0.296047 | − | 0.296047i | −0.543416 | − | 0.839463i | \(-0.682869\pi\) |
0.839463 | + | 0.543416i | \(0.182869\pi\) | |||||||
\(380\) | 5.79782 | + | 6.90957i | 0.297422 | + | 0.354454i | ||||
\(381\) | 18.6149 | − | 0.0545775i | 0.953672 | − | 0.00279609i | ||||
\(382\) | 7.58581 | + | 10.8337i | 0.388124 | + | 0.554299i | ||||
\(383\) | 9.45435 | + | 4.40864i | 0.483095 | + | 0.225271i | 0.648879 | − | 0.760891i | \(-0.275238\pi\) |
−0.165785 | + | 0.986162i | \(0.553016\pi\) | |||||||
\(384\) | −0.736596 | − | 1.56762i | −0.0375892 | − | 0.0799972i | ||||
\(385\) | 0.125954 | − | 0.179881i | 0.00641921 | − | 0.00916758i | ||||
\(386\) | 1.00063 | − | 0.577717i | 0.0509310 | − | 0.0294050i | ||||
\(387\) | 0.854376 | − | 0.155821i | 0.0434303 | − | 0.00792080i | ||||
\(388\) | 7.46902 | − | 2.00132i | 0.379182 | − | 0.101601i | ||||
\(389\) | 19.9012 | + | 7.24343i | 1.00903 | + | 0.367256i | 0.793060 | − | 0.609144i | \(-0.208487\pi\) |
0.215969 | + | 0.976400i | \(0.430709\pi\) | |||||||
\(390\) | 4.50049 | + | 23.0980i | 0.227891 | + | 1.16961i | ||||
\(391\) | −15.4927 | − | 12.9999i | −0.783498 | − | 0.657433i | ||||
\(392\) | −0.568432 | − | 6.49721i | −0.0287102 | − | 0.328159i | ||||
\(393\) | 8.79239 | + | 7.33387i | 0.443517 | + | 0.369945i | ||||
\(394\) | 2.66049 | − | 7.30964i | 0.134034 | − | 0.368254i | ||||
\(395\) | 24.6833 | − | 6.61387i | 1.24195 | − | 0.332780i | ||||
\(396\) | 0.179856 | + | 0.177759i | 0.00903811 | + | 0.00893273i | ||||
\(397\) | 6.56286 | − | 24.4929i | 0.329381 | − | 1.22926i | −0.580454 | − | 0.814293i | \(-0.697125\pi\) |
0.909834 | − | 0.414972i | \(-0.136209\pi\) | |||||||
\(398\) | 9.58616 | + | 6.71230i | 0.480511 | + | 0.336457i | ||||
\(399\) | 2.82130 | − | 0.506005i | 0.141242 | − | 0.0253319i | ||||
\(400\) | 3.14634 | + | 8.64450i | 0.157317 | + | 0.432225i | ||||
\(401\) | 10.8935 | + | 15.5575i | 0.543994 | + | 0.776904i | 0.993187 | − | 0.116531i | \(-0.0371773\pi\) |
−0.449193 | + | 0.893435i | \(0.648288\pi\) | |||||||
\(402\) | 7.84385 | + | 4.49804i | 0.391216 | + | 0.224342i | ||||
\(403\) | 7.67771 | + | 27.0288i | 0.382454 | + | 1.34640i | ||||
\(404\) | − | 7.00640i | − | 0.348582i | ||||||
\(405\) | 27.5505 | − | 19.7766i | 1.36899 | − | 0.982706i | ||||
\(406\) | 0.761533 | 0.0377942 | ||||||||
\(407\) | −0.518782 | + | 0.435310i | −0.0257151 | + | 0.0215775i | ||||
\(408\) | 5.52711 | − | 1.49837i | 0.273633 | − | 0.0741802i | ||||
\(409\) | −7.87653 | − | 11.2488i | −0.389469 | − | 0.556220i | 0.575762 | − | 0.817617i | \(-0.304705\pi\) |
−0.965231 | + | 0.261398i | \(0.915817\pi\) | |||||||
\(410\) | −11.9495 | + | 25.6259i | −0.590146 | + | 1.26557i | ||||
\(411\) | −9.76411 | + | 14.0320i | −0.481628 | + | 0.692146i | ||||
\(412\) | −0.500330 | − | 2.83751i | −0.0246495 | − | 0.139794i | ||||
\(413\) | −3.00110 | − | 5.19806i | −0.147674 | − | 0.255780i | ||||
\(414\) | 17.6974 | − | 4.85341i | 0.869781 | − | 0.238532i | ||||
\(415\) | −39.0587 | − | 22.5506i | −1.91732 | − | 1.10696i | ||||
\(416\) | −2.58738 | − | 2.51107i | −0.126857 | − | 0.123115i | ||||
\(417\) | 3.16219 | − | 3.79107i | 0.154853 | − | 0.185650i | ||||
\(418\) | 0.201000 | − | 0.0175852i | 0.00983122 | − | 0.000860120i | ||||
\(419\) | 21.6131 | − | 25.7575i | 1.05587 | − | 1.25834i | 0.0909341 | − | 0.995857i | \(-0.471015\pi\) |
0.964937 | − | 0.262481i | \(-0.0845408\pi\) | |||||||
\(420\) | 4.44598 | + | 0.770513i | 0.216942 | + | 0.0375972i | ||||
\(421\) | −19.4466 | + | 9.06811i | −0.947770 | + | 0.441953i | −0.834129 | − | 0.551569i | \(-0.814029\pi\) |
−0.113641 | + | 0.993522i | \(0.536251\pi\) | |||||||
\(422\) | −19.1521 | + | 5.13178i | −0.932309 | + | 0.249811i | ||||
\(423\) | 0.767615 | − | 9.40901i | 0.0373227 | − | 0.457482i | ||||
\(424\) | −3.11061 | + | 11.6089i | −0.151065 | + | 0.563780i | ||||
\(425\) | −29.9532 | + | 5.28155i | −1.45294 | + | 0.256193i | ||||
\(426\) | −24.2229 | − | 8.73606i | −1.17360 | − | 0.423264i | ||||
\(427\) | 4.37700 | + | 2.04103i | 0.211818 | + | 0.0987723i | ||||
\(428\) | −3.45118 | + | 19.5726i | −0.166819 | + | 0.946079i | ||||
\(429\) | 0.480990 | + | 0.213894i | 0.0232224 | + | 0.0103269i | ||||
\(430\) | 0.835642 | − | 0.701187i | 0.0402982 | − | 0.0338142i | ||||
\(431\) | 6.53329 | + | 6.53329i | 0.314697 | + | 0.314697i | 0.846726 | − | 0.532029i | \(-0.178570\pi\) |
−0.532029 | + | 0.846726i | \(0.678570\pi\) | |||||||
\(432\) | −1.73417 | + | 4.89823i | −0.0834354 | + | 0.235666i | ||||
\(433\) | − | 39.7510i | − | 1.91031i | −0.296107 | − | 0.955155i | \(-0.595688\pi\) | ||
0.296107 | − | 0.955155i | \(-0.404312\pi\) | |||||||
\(434\) | 5.36721 | + | 0.469570i | 0.257634 | + | 0.0225401i | ||||
\(435\) | 1.84034 | − | 6.94969i | 0.0882377 | − | 0.333212i | ||||
\(436\) | 5.17148 | − | 3.62111i | 0.247669 | − | 0.173420i | ||||
\(437\) | 6.18796 | − | 13.2701i | 0.296010 | − | 0.634796i | ||||
\(438\) | 2.78453 | − | 2.35044i | 0.133050 | − | 0.112308i | ||||
\(439\) | −11.2288 | + | 1.97993i | −0.535920 | + | 0.0944971i | −0.435056 | − | 0.900403i | \(-0.643272\pi\) |
−0.100863 | + | 0.994900i | \(0.532160\pi\) | |||||||
\(440\) | 0.306806 | + | 0.0822085i | 0.0146264 | + | 0.00391914i | ||||
\(441\) | −12.4887 | + | 15.0620i | −0.594702 | + | 0.717238i | ||||
\(442\) | 9.66159 | − | 6.98293i | 0.459555 | − | 0.332144i | ||||
\(443\) | −3.00001 | + | 8.24245i | −0.142535 | + | 0.391611i | −0.990333 | − | 0.138707i | \(-0.955705\pi\) |
0.847799 | + | 0.530318i | \(0.177927\pi\) | |||||||
\(444\) | −12.6291 | − | 5.84402i | −0.599349 | − | 0.277345i | ||||
\(445\) | 10.4505 | + | 8.76905i | 0.495403 | + | 0.415693i | ||||
\(446\) | 5.72918 | + | 4.80736i | 0.271285 | + | 0.227635i | ||||
\(447\) | −5.18387 | + | 11.2025i | −0.245189 | + | 0.529859i | ||||
\(448\) | −0.626579 | + | 0.292178i | −0.0296031 | + | 0.0138041i | ||||
\(449\) | 4.92169 | + | 18.3680i | 0.232269 | + | 0.866839i | 0.979361 | + | 0.202119i | \(0.0647826\pi\) |
−0.747092 | + | 0.664720i | \(0.768551\pi\) | |||||||
\(450\) | 11.5165 | − | 25.0801i | 0.542893 | − | 1.18229i | ||||
\(451\) | 0.316248 | + | 0.547757i | 0.0148915 | + | 0.0257929i | ||||
\(452\) | −3.28302 | − | 18.6190i | −0.154421 | − | 0.875762i | ||||
\(453\) | 3.08159 | − | 36.4534i | 0.144786 | − | 1.71273i | ||||
\(454\) | 8.08036 | + | 22.2006i | 0.379230 | + | 1.04193i | ||||
\(455\) | 9.22486 | − | 1.76934i | 0.432468 | − | 0.0829481i | ||||
\(456\) | 2.08350 | + | 3.58441i | 0.0975686 | + | 0.167855i | ||||
\(457\) | 0.823051 | − | 9.40752i | 0.0385007 | − | 0.440065i | −0.952341 | − | 0.305036i | \(-0.901332\pi\) |
0.990842 | − | 0.135029i | \(-0.0431129\pi\) | |||||||
\(458\) | 5.12630i | 0.239536i | ||||||||
\(459\) | −14.9532 | − | 8.45872i | −0.697953 | − | 0.394819i | ||||
\(460\) | 16.2987 | − | 16.2987i | 0.759932 | − | 0.759932i | ||||
\(461\) | −2.42912 | − | 0.212521i | −0.113136 | − | 0.00989808i | 0.0304473 | − | 0.999536i | \(-0.490307\pi\) |
−0.143583 | + | 0.989638i | \(0.545862\pi\) | |||||||
\(462\) | 0.0711632 | − | 0.0715818i | 0.00331081 | − | 0.00333029i | ||||
\(463\) | −17.0679 | + | 11.9511i | −0.793213 | + | 0.555414i | −0.898472 | − | 0.439031i | \(-0.855322\pi\) |
0.105259 | + | 0.994445i | \(0.466433\pi\) | |||||||
\(464\) | 0.376739 | + | 1.03508i | 0.0174897 | + | 0.0480525i | ||||
\(465\) | 17.2558 | − | 47.8460i | 0.800220 | − | 2.21881i | ||||
\(466\) | −0.620300 | + | 0.885881i | −0.0287349 | + | 0.0410376i | ||||
\(467\) | −10.7022 | − | 18.5367i | −0.495237 | − | 0.857775i | 0.504748 | − | 0.863267i | \(-0.331585\pi\) |
−0.999985 | + | 0.00549126i | \(0.998252\pi\) | |||||||
\(468\) | 0.225308 | + | 10.8143i | 0.0104149 | + | 0.499892i | ||||
\(469\) | 1.80458 | − | 3.12562i | 0.0833276 | − | 0.144328i | ||||
\(470\) | −5.01123 | − | 10.7466i | −0.231151 | − | 0.495705i | ||||
\(471\) | −28.8712 | − | 5.00354i | −1.33032 | − | 0.230551i | ||||
\(472\) | 5.58056 | − | 6.65066i | 0.256866 | − | 0.306121i | ||||
\(473\) | −0.00212675 | − | 0.0243089i | −9.77880e−5 | − | 0.00111772i | ||||
\(474\) | 11.6982 | − | 1.05803i | 0.537315 | − | 0.0485968i | ||||
\(475\) | −9.30607 | − | 19.9569i | −0.426992 | − | 0.915687i | ||||
\(476\) | −0.591607 | − | 2.20791i | −0.0271162 | − | 0.101199i | ||||
\(477\) | 31.1187 | − | 18.2105i | 1.42483 | − | 0.833801i | ||||
\(478\) | −5.48841 | + | 3.16873i | −0.251034 | + | 0.144934i | ||||
\(479\) | 14.7489 | + | 10.3273i | 0.673896 | + | 0.471867i | 0.859753 | − | 0.510710i | \(-0.170617\pi\) |
−0.185857 | + | 0.982577i | \(0.559506\pi\) | |||||||
\(480\) | 1.15219 | + | 6.42420i | 0.0525900 | + | 0.293223i | ||||
\(481\) | −28.8921 | − | 2.09252i | −1.31737 | − | 0.0954107i | ||||
\(482\) | −19.5829 | − | 3.45300i | −0.891977 | − | 0.157280i | ||||
\(483\) | −1.91653 | − | 7.06963i | −0.0872053 | − | 0.321679i | ||||
\(484\) | −8.42105 | + | 7.06610i | −0.382775 | + | 0.321186i | ||||
\(485\) | −29.1375 | −1.32307 | ||||||||
\(486\) | 14.0298 | − | 6.79436i | 0.636407 | − | 0.308198i | ||||
\(487\) | −15.6016 | + | 15.6016i | −0.706975 | + | 0.706975i | −0.965898 | − | 0.258923i | \(-0.916632\pi\) |
0.258923 | + | 0.965898i | \(0.416632\pi\) | |||||||
\(488\) | −0.608832 | + | 6.95898i | −0.0275605 | + | 0.315018i | ||||
\(489\) | 0.102304 | + | 0.377375i | 0.00462635 | + | 0.0170655i | ||||
\(490\) | −4.26763 | + | 24.2029i | −0.192792 | + | 1.09338i | ||||
\(491\) | 29.4535 | − | 10.7202i | 1.32922 | − | 0.483796i | 0.422818 | − | 0.906215i | \(-0.361041\pi\) |
0.906401 | + | 0.422419i | \(0.138819\pi\) | |||||||
\(492\) | −7.42331 | + | 10.6680i | −0.334669 | + | 0.480952i | ||||
\(493\) | −3.58655 | + | 0.632406i | −0.161530 | + | 0.0284821i | ||||
\(494\) | 6.69363 | + | 5.44800i | 0.301161 | + | 0.245117i | ||||
\(495\) | −0.481275 | − | 0.822417i | −0.0216317 | − | 0.0369649i | ||||
\(496\) | 2.01698 | + | 7.52746i | 0.0905649 | + | 0.337993i | ||||
\(497\) | −3.51536 | + | 9.65836i | −0.157685 | + | 0.433237i | ||||
\(498\) | −15.9197 | − | 13.2788i | −0.713378 | − | 0.595039i | ||||
\(499\) | 5.48745 | − | 0.480090i | 0.245652 | − | 0.0214918i | 0.0363352 | − | 0.999340i | \(-0.488432\pi\) |
0.209317 | + | 0.977848i | \(0.432876\pi\) | |||||||
\(500\) | −1.37913 | − | 15.7635i | −0.0616765 | − | 0.704965i | ||||
\(501\) | 4.73292 | − | 3.33475i | 0.211451 | − | 0.148986i | ||||
\(502\) | −8.36692 | − | 17.9429i | −0.373434 | − | 0.800831i | ||||
\(503\) | 19.1621 | + | 11.0633i | 0.854397 | + | 0.493287i | 0.862132 | − | 0.506684i | \(-0.169129\pi\) |
−0.00773480 | + | 0.999970i | \(0.502462\pi\) | |||||||
\(504\) | 1.95310 | + | 0.697929i | 0.0869982 | + | 0.0310882i | ||||
\(505\) | −6.83321 | + | 25.5019i | −0.304074 | + | 1.13482i | ||||
\(506\) | −0.0895351 | − | 0.507779i | −0.00398032 | − | 0.0225735i | ||||
\(507\) | 8.39229 | + | 20.8942i | 0.372714 | + | 0.927946i | ||||
\(508\) | 10.0992 | − | 3.67582i | 0.448081 | − | 0.163088i | ||||
\(509\) | −4.18740 | + | 2.93205i | −0.185603 | + | 0.129961i | −0.662685 | − | 0.748898i | \(-0.730583\pi\) |
0.477082 | + | 0.878859i | \(0.341694\pi\) | |||||||
\(510\) | −21.5789 | + | 0.0632676i | −0.955529 | + | 0.00280154i | ||||
\(511\) | −0.934923 | − | 1.11420i | −0.0413585 | − | 0.0492892i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 3.11336 | − | 12.0419i | 0.137458 | − | 0.531663i | ||||
\(514\) | −18.5680 | − | 18.5680i | −0.819000 | − | 0.819000i | ||||
\(515\) | −0.946270 | + | 10.8159i | −0.0416977 | + | 0.476606i | ||||
\(516\) | 0.433497 | − | 0.251977i | 0.0190837 | − | 0.0110927i | ||||
\(517\) | −0.261217 | − | 0.0460597i | −0.0114883 | − | 0.00202570i | ||||
\(518\) | −2.34742 | + | 5.03407i | −0.103140 | + | 0.221184i | ||||
\(519\) | −1.50049 | − | 1.77760i | −0.0658641 | − | 0.0780281i | ||||
\(520\) | 6.96855 | + | 11.6632i | 0.305591 | + | 0.511465i | ||||
\(521\) | 14.2781 | − | 8.24345i | 0.625534 | − | 0.361152i | −0.153486 | − | 0.988151i | \(-0.549050\pi\) |
0.779020 | + | 0.626999i | \(0.215717\pi\) | |||||||
\(522\) | 1.37897 | − | 3.00306i | 0.0603559 | − | 0.131440i | ||||
\(523\) | −6.77682 | + | 11.7378i | −0.296330 | + | 0.513258i | −0.975293 | − | 0.220914i | \(-0.929096\pi\) |
0.678964 | + | 0.734172i | \(0.262429\pi\) | |||||||
\(524\) | 6.21173 | + | 2.26089i | 0.271361 | + | 0.0987673i | ||||
\(525\) | −9.99728 | − | 4.62617i | −0.436317 | − | 0.201903i | ||||
\(526\) | −12.3353 | + | 1.07920i | −0.537845 | + | 0.0470553i | ||||
\(527\) | −25.6676 | + | 2.24563i | −1.11810 | + | 0.0978211i | ||||
\(528\) | 0.132500 | + | 0.0613134i | 0.00576631 | + | 0.00266832i | ||||
\(529\) | −13.5477 | − | 4.93096i | −0.589031 | − | 0.214390i | ||||
\(530\) | 22.6440 | − | 39.2205i | 0.983591 | − | 1.70363i | ||||
\(531\) | −25.9326 | + | 2.42211i | −1.12538 | + | 0.105111i | ||||
\(532\) | 1.43316 | − | 0.827435i | 0.0621353 | − | 0.0358738i | ||||
\(533\) | −6.61034 | + | 26.2346i | −0.286326 | + | 1.13635i | ||||
\(534\) | 4.04476 | + | 4.79176i | 0.175034 | + | 0.207360i | ||||
\(535\) | 31.6504 | − | 67.8745i | 1.36837 | − | 2.93447i | ||||
\(536\) | 5.14111 | + | 0.906517i | 0.222062 | + | 0.0391556i | ||||
\(537\) | 13.4284 | − | 7.80550i | 0.579480 | − | 0.336832i | ||||
\(538\) | −1.58068 | + | 18.0673i | −0.0681481 | + | 0.778936i | ||||
\(539\) | 0.388736 | + | 0.388736i | 0.0167441 | + | 0.0167441i | ||||
\(540\) | 11.0892 | − | 16.1372i | 0.477202 | − | 0.694437i | ||||
\(541\) | 20.5929 | + | 20.5929i | 0.885358 | + | 0.885358i | 0.994073 | − | 0.108715i | \(-0.0346737\pi\) |
−0.108715 | + | 0.994073i | \(0.534674\pi\) | |||||||
\(542\) | 5.61640 | + | 6.69337i | 0.241245 | + | 0.287505i | ||||
\(543\) | 32.3992 | − | 0.0949919i | 1.39038 | − | 0.00407649i | ||||
\(544\) | 2.70833 | − | 1.89639i | 0.116119 | − | 0.0813072i | ||||
\(545\) | −22.3547 | + | 8.13645i | −0.957571 | + | 0.348527i | ||||
\(546\) | 4.31681 | − | 0.0772761i | 0.184742 | − | 0.00330711i | ||||
\(547\) | −0.375095 | − | 2.12727i | −0.0160379 | − | 0.0909554i | 0.975738 | − | 0.218941i | \(-0.0702601\pi\) |
−0.991776 | + | 0.127985i | \(0.959149\pi\) | |||||||
\(548\) | −2.55447 | + | 9.53342i | −0.109122 | + | 0.407247i | ||||
\(549\) | 15.9745 | − | 13.5646i | 0.681774 | − | 0.578923i | ||||
\(550\) | −0.671540 | − | 0.387714i | −0.0286346 | − | 0.0165322i | ||||
\(551\) | −1.11430 | − | 2.38962i | −0.0474707 | − | 0.101801i | ||||
\(552\) | 8.66096 | − | 6.10239i | 0.368635 | − | 0.259735i | ||||
\(553\) | −0.408622 | − | 4.67057i | −0.0173764 | − | 0.198613i | ||||
\(554\) | 14.9502 | − | 1.30797i | 0.635174 | − | 0.0555705i | ||||
\(555\) | 40.2677 | + | 33.5879i | 1.70927 | + | 1.42573i | ||||
\(556\) | 0.974842 | − | 2.67836i | 0.0413425 | − | 0.113588i | ||||
\(557\) | 5.10466 | + | 19.0508i | 0.216291 | + | 0.807210i | 0.985708 | + | 0.168463i | \(0.0538803\pi\) |
−0.769417 | + | 0.638747i | \(0.779453\pi\) | |||||||
\(558\) | 11.5706 | − | 20.3150i | 0.489821 | − | 0.860003i | ||||
\(559\) | 0.658880 | − | 0.809526i | 0.0278676 | − | 0.0342393i | ||||
\(560\) | 2.56557 | − | 0.452380i | 0.108415 | − | 0.0191165i | ||||
\(561\) | −0.275710 | + | 0.396222i | −0.0116405 | + | 0.0167285i | ||||
\(562\) | 30.3319 | − | 11.0399i | 1.27947 | − | 0.465690i | ||||
\(563\) | −6.94211 | + | 39.3707i | −0.292575 | + | 1.65928i | 0.384322 | + | 0.923199i | \(0.374435\pi\) |
−0.676897 | + | 0.736078i | \(0.736676\pi\) | |||||||
\(564\) | −1.42608 | − | 5.26047i | −0.0600489 | − | 0.221506i | ||||
\(565\) | −6.20916 | + | 70.9711i | −0.261222 | + | 2.98578i | ||||
\(566\) | −9.95911 | + | 9.95911i | −0.418613 | + | 0.418613i | ||||
\(567\) | −2.69556 | − | 5.60798i | −0.113203 | − | 0.235513i | ||||
\(568\) | −14.8668 | −0.623798 | ||||||||
\(569\) | 9.97904 | − | 8.37341i | 0.418343 | − | 0.351032i | −0.409189 | − | 0.912450i | \(-0.634188\pi\) |
0.827532 | + | 0.561418i | \(0.189744\pi\) | |||||||
\(570\) | −4.08769 | − | 15.0785i | −0.171215 | − | 0.631569i | ||||
\(571\) | 33.8908 | + | 5.97586i | 1.41828 | + | 0.250082i | 0.829635 | − | 0.558306i | \(-0.188549\pi\) |
0.588650 | + | 0.808388i | \(0.299660\pi\) | |||||||
\(572\) | 0.303126 | + | 0.0219540i | 0.0126743 | + | 0.000917942i | ||||
\(573\) | −4.04391 | − | 22.5474i | −0.168937 | − | 0.941931i | ||||
\(574\) | 4.24946 | + | 2.97551i | 0.177369 | + | 0.124195i | ||||
\(575\) | −48.7327 | + | 28.1358i | −2.03229 | + | 1.17334i | ||||
\(576\) | 0.0175914 | + | 2.99995i | 0.000732974 | + | 0.124998i | ||||
\(577\) | 2.82467 | + | 10.5418i | 0.117593 | + | 0.438861i | 0.999468 | − | 0.0326214i | \(-0.0103856\pi\) |
−0.881875 | + | 0.471483i | \(0.843719\pi\) | |||||||
\(578\) | −2.56472 | − | 5.50006i | −0.106678 | − | 0.228772i | ||||
\(579\) | −1.99313 | + | 0.180267i | −0.0828318 | + | 0.00749162i | ||||
\(580\) | −0.361758 | − | 4.13491i | −0.0150212 | − | 0.171693i | ||||
\(581\) | −5.31890 | + | 6.33881i | −0.220665 | + | 0.262978i | ||||
\(582\) | −13.1964 | − | 2.28700i | −0.547007 | − | 0.0947993i | ||||
\(583\) | −0.428139 | − | 0.918147i | −0.0177317 | − | 0.0380258i | ||||
\(584\) | 1.05191 | − | 1.82196i | 0.0435283 | − | 0.0753933i | ||||
\(585\) | 9.72691 | − | 39.5816i | 0.402158 | − | 1.63650i | ||||
\(586\) | −12.7578 | − | 22.0972i | −0.527021 | − | 0.912827i | ||||
\(587\) | −7.26925 | + | 10.3816i | −0.300034 | + | 0.428493i | −0.940655 | − | 0.339364i | \(-0.889788\pi\) |
0.640621 | + | 0.767857i | \(0.278677\pi\) | |||||||
\(588\) | −3.83249 | + | 10.6265i | −0.158049 | + | 0.438230i | ||||
\(589\) | −6.37999 | − | 17.5289i | −0.262883 | − | 0.722265i | ||||
\(590\) | −26.7984 | + | 18.7644i | −1.10327 | + | 0.772519i | ||||
\(591\) | −9.49902 | + | 9.55488i | −0.390737 | + | 0.393035i | ||||
\(592\) | −8.00365 | − | 0.700228i | −0.328948 | − | 0.0287792i | ||||
\(593\) | 22.2750 | − | 22.2750i | 0.914726 | − | 0.914726i | −0.0819138 | − | 0.996639i | \(-0.526103\pi\) |
0.996639 | + | 0.0819138i | \(0.0261032\pi\) | |||||||
\(594\) | −0.153417 | − | 0.410247i | −0.00629480 | − | 0.0168326i | ||||
\(595\) | 8.61331i | 0.353111i | ||||||||
\(596\) | −0.621130 | + | 7.09955i | −0.0254425 | + | 0.290809i | ||||
\(597\) | −10.1861 | − | 17.5240i | −0.416890 | − | 0.717211i | ||||
\(598\) | 12.3784 | − | 18.2537i | 0.506191 | − | 0.746450i | ||||
\(599\) | −13.7213 | − | 37.6989i | −0.560636 | − | 1.54033i | −0.818709 | − | 0.574208i | \(-0.805310\pi\) |
0.258074 | − | 0.966125i | \(-0.416912\pi\) | |||||||
\(600\) | 1.34216 | − | 15.8770i | 0.0547936 | − | 0.648176i | ||||
\(601\) | 6.69577 | + | 37.9736i | 0.273126 | + | 1.54898i | 0.744851 | + | 0.667230i | \(0.232520\pi\) |
−0.471725 | + | 0.881746i | \(0.656369\pi\) | |||||||
\(602\) | −0.100070 | − | 0.173326i | −0.00407854 | − | 0.00706423i | ||||
\(603\) | −9.05801 | − | 12.7761i | −0.368870 | − | 0.520282i | ||||
\(604\) | −5.46663 | − | 20.4017i | −0.222434 | − | 0.830135i | ||||
\(605\) | 37.5423 | − | 17.5063i | 1.52631 | − | 0.711731i | ||||
\(606\) | −5.09639 | + | 11.0134i | −0.207027 | + | 0.447390i | ||||
\(607\) | 29.1847 | + | 24.4888i | 1.18457 | + | 0.993971i | 0.999938 | + | 0.0111630i | \(0.00355338\pi\) |
0.184631 | + | 0.982808i | \(0.440891\pi\) | |||||||
\(608\) | 1.83366 | + | 1.53862i | 0.0743646 | + | 0.0623993i | ||||
\(609\) | −1.19706 | − | 0.553932i | −0.0485074 | − | 0.0224465i | ||||
\(610\) | 9.00297 | − | 24.7355i | 0.364520 | − | 1.00151i | ||||
\(611\) | −6.64605 | − | 9.19549i | −0.268870 | − | 0.372010i | ||||
\(612\) | −9.77802 | − | 1.66507i | −0.395253 | − | 0.0673065i | ||||
\(613\) | 1.56118 | + | 0.418318i | 0.0630556 | + | 0.0168957i | 0.290209 | − | 0.956963i | \(-0.406275\pi\) |
−0.227153 | + | 0.973859i | \(0.572942\pi\) | |||||||
\(614\) | 5.11202 | − | 0.901388i | 0.206304 | − | 0.0363770i | ||||
\(615\) | 37.4236 | − | 31.5896i | 1.50907 | − | 1.27382i | ||||
\(616\) | 0.0246284 | − | 0.0528157i | 0.000992305 | − | 0.00212800i | ||||
\(617\) | −30.9650 | + | 21.6820i | −1.24661 | + | 0.872883i | −0.995471 | − | 0.0950695i | \(-0.969693\pi\) |
−0.251135 | + | 0.967952i | \(0.580804\pi\) | |||||||
\(618\) | −1.27751 | + | 4.82425i | −0.0513888 | + | 0.194060i | ||||
\(619\) | 47.7023 | + | 4.17341i | 1.91732 | + | 0.167744i | 0.982358 | − | 0.187010i | \(-0.0598797\pi\) |
0.934960 | + | 0.354754i | \(0.115435\pi\) | |||||||
\(620\) | − | 29.3655i | − | 1.17935i | ||||||
\(621\) | −31.3491 | − | 5.24381i | −1.25800 | − | 0.210427i | ||||
\(622\) | −17.6581 | − | 17.6581i | −0.708027 | − | 0.708027i | ||||
\(623\) | 1.91737 | − | 1.60886i | 0.0768177 | − | 0.0644577i | ||||
\(624\) | 2.24061 | + | 5.82921i | 0.0896961 | + | 0.233355i | ||||
\(625\) | −2.36690 | + | 13.4233i | −0.0946759 | + | 0.536933i | ||||
\(626\) | −2.23726 | − | 1.04325i | −0.0894190 | − | 0.0416968i | ||||
\(627\) | −0.328745 | − | 0.118563i | −0.0131288 | − | 0.00473495i | ||||
\(628\) | −16.6603 | + | 2.93766i | −0.664817 | + | 0.117225i | ||||
\(629\) | 6.87507 | − | 25.6581i | 0.274127 | − | 1.02306i | ||||
\(630\) | −6.42822 | − | 4.44514i | −0.256106 | − | 0.177099i | ||||
\(631\) | −38.9883 | + | 10.4469i | −1.55210 | + | 0.415884i | −0.930152 | − | 0.367175i | \(-0.880325\pi\) |
−0.621948 | + | 0.783059i | \(0.713658\pi\) | |||||||
\(632\) | 6.14613 | − | 2.86599i | 0.244480 | − | 0.114003i | ||||
\(633\) | 33.8382 | + | 5.86434i | 1.34495 | + | 0.233087i | ||||
\(634\) | 5.41708 | − | 6.45582i | 0.215140 | − | 0.256394i | ||||
\(635\) | −40.3441 | + | 3.52965i | −1.60101 | + | 0.140070i | ||||
\(636\) | 13.3338 | − | 15.9856i | 0.528721 | − | 0.633870i | ||||
\(637\) | 0.351953 | + | 23.5129i | 0.0139449 | + | 0.931614i | ||||
\(638\) | −0.0804094 | − | 0.0464244i | −0.00318344 | − | 0.00183796i | ||||
\(639\) | 31.7217 | + | 31.3518i | 1.25489 | + | 1.24026i | ||||
\(640\) | 1.88410 | + | 3.26335i | 0.0744755 | + | 0.128995i | ||||
\(641\) | −0.595945 | − | 3.37977i | −0.0235384 | − | 0.133493i | 0.970774 | − | 0.239995i | \(-0.0771459\pi\) |
−0.994312 | + | 0.106502i | \(0.966035\pi\) | |||||||
\(642\) | 19.6619 | − | 28.2561i | 0.775993 | − | 1.11518i | ||||
\(643\) | 11.9267 | − | 25.5768i | 0.470342 | − | 1.00865i | −0.517855 | − | 0.855468i | \(-0.673269\pi\) |
0.988198 | − | 0.153184i | \(-0.0489527\pi\) | |||||||
\(644\) | −2.42564 | − | 3.46417i | −0.0955837 | − | 0.136508i | ||||
\(645\) | −1.82359 | + | 0.494365i | −0.0718038 | + | 0.0194656i | ||||
\(646\) | −6.06255 | + | 5.08708i | −0.238528 | + | 0.200148i | ||||
\(647\) | −4.63428 | −0.182193 | −0.0910963 | − | 0.995842i | \(-0.529037\pi\) | ||||
−0.0910963 | + | 0.995842i | \(0.529037\pi\) | |||||||
\(648\) | 6.28889 | − | 6.43816i | 0.247051 | − | 0.252915i | ||||
\(649\) | 0.731809i | 0.0287260i | ||||||||
\(650\) | −9.06319 | − | 31.9062i | −0.355487 | − | 1.25147i | ||||
\(651\) | −8.09521 | − | 4.64218i | −0.317276 | − | 0.181941i | ||||
\(652\) | 0.129480 | + | 0.184917i | 0.00507084 | + | 0.00724190i | ||||
\(653\) | −4.10441 | − | 11.2768i | −0.160618 | − | 0.441294i | 0.833111 | − | 0.553105i | \(-0.186557\pi\) |
−0.993730 | + | 0.111811i | \(0.964335\pi\) | |||||||
\(654\) | −10.7631 | + | 1.93037i | −0.420869 | + | 0.0754836i | ||||
\(655\) | −20.4044 | − | 14.2873i | −0.797267 | − | 0.558253i | ||||
\(656\) | −1.94208 | + | 7.24793i | −0.0758253 | + | 0.282984i | ||||
\(657\) | −6.08672 | + | 1.66925i | −0.237465 | + | 0.0651235i | ||||
\(658\) | −2.10139 | + | 0.563066i | −0.0819207 | + | 0.0219506i | ||||
\(659\) | 10.3283 | − | 28.3767i | 0.402333 | − | 1.10540i | −0.558797 | − | 0.829304i | \(-0.688737\pi\) |
0.961130 | − | 0.276096i | \(-0.0890408\pi\) | |||||||
\(660\) | −0.422474 | − | 0.352393i | −0.0164448 | − | 0.0137169i | ||||
\(661\) | −2.09445 | − | 23.9397i | −0.0814648 | − | 0.931147i | −0.921440 | − | 0.388522i | \(-0.872986\pi\) |
0.839975 | − | 0.542625i | \(-0.182570\pi\) | |||||||
\(662\) | −1.98871 | − | 1.66872i | −0.0772933 | − | 0.0648568i | ||||
\(663\) | −20.2665 | + | 3.94879i | −0.787085 | + | 0.153358i | ||||
\(664\) | −11.2471 | − | 4.09361i | −0.436472 | − | 0.158863i | ||||
\(665\) | −6.02339 | + | 1.61396i | −0.233577 | + | 0.0625867i | ||||
\(666\) | 15.6009 | + | 18.3725i | 0.604522 | + | 0.711921i | ||||
\(667\) | −5.83519 | + | 3.36895i | −0.225939 | + | 0.130446i | ||||
\(668\) | 1.91730 | − | 2.73819i | 0.0741825 | − | 0.105944i | ||||
\(669\) | −5.50894 | − | 11.7241i | −0.212988 | − | 0.453279i | ||||
\(670\) | −17.8285 | − | 8.31356i | −0.688775 | − | 0.321181i | ||||
\(671\) | −0.337738 | − | 0.482340i | −0.0130382 | − | 0.0186205i | ||||
\(672\) | 1.19745 | − | 0.00351084i | 0.0461928 | − | 0.000135434i | ||||
\(673\) | 14.1879 | + | 16.9085i | 0.546905 | + | 0.651776i | 0.966721 | − | 0.255833i | \(-0.0823499\pi\) |
−0.419816 | + | 0.907609i | \(0.637905\pi\) | |||||||
\(674\) | 21.7008 | − | 21.7008i | 0.835884 | − | 0.835884i | ||||
\(675\) | −36.3459 | + | 31.0467i | −1.39896 | + | 1.19499i | ||||
\(676\) | 8.65056 | + | 9.70401i | 0.332714 | + | 0.373231i | ||||
\(677\) | 4.02288 | + | 4.79428i | 0.154612 | + | 0.184259i | 0.837790 | − | 0.545992i | \(-0.183847\pi\) |
−0.683178 | + | 0.730252i | \(0.739403\pi\) | |||||||
\(678\) | −8.38264 | + | 31.6554i | −0.321933 | + | 1.21572i | ||||
\(679\) | −0.928303 | + | 5.26467i | −0.0356250 | + | 0.202039i | ||||
\(680\) | −11.7073 | + | 4.26110i | −0.448954 | + | 0.163406i | ||||
\(681\) | 3.44691 | − | 40.7749i | 0.132086 | − | 1.56250i | ||||
\(682\) | −0.538092 | − | 0.376776i | −0.0206046 | − | 0.0144275i | ||||
\(683\) | −25.0981 | − | 6.72501i | −0.960352 | − | 0.257325i | −0.255602 | − | 0.966782i | \(-0.582274\pi\) |
−0.704749 | + | 0.709457i | \(0.748940\pi\) | |||||||
\(684\) | −0.667803 | − | 7.14989i | −0.0255341 | − | 0.273383i | ||||
\(685\) | 18.5955 | − | 32.2084i | 0.710498 | − | 1.23062i | ||||
\(686\) | 8.78471 | + | 3.19737i | 0.335402 | + | 0.122076i | ||||
\(687\) | 3.72882 | − | 8.05809i | 0.142264 | − | 0.307435i | ||||
\(688\) | 0.186080 | − | 0.221762i | 0.00709424 | − | 0.00845459i | ||||
\(689\) | 14.2097 | − | 40.9372i | 0.541347 | − | 1.55958i | ||||
\(690\) | −37.4757 | + | 13.7646i | −1.42667 | + | 0.524009i | ||||
\(691\) | 13.6310 | − | 6.35622i | 0.518546 | − | 0.241802i | −0.145683 | − | 0.989331i | \(-0.546538\pi\) |
0.664229 | + | 0.747529i | \(0.268760\pi\) | |||||||
\(692\) | −1.16311 | − | 0.671524i | −0.0442149 | − | 0.0255275i | ||||
\(693\) | −0.163930 | + | 0.0607566i | −0.00622719 | + | 0.00230795i | ||||
\(694\) | 23.3081 | + | 6.24538i | 0.884763 | + | 0.237072i | ||||
\(695\) | −6.16037 | + | 8.79792i | −0.233676 | + | 0.333724i | ||||
\(696\) | 0.160709 | − | 1.90109i | 0.00609166 | − | 0.0720607i | ||||
\(697\) | −22.4845 | − | 10.4847i | −0.851660 | − | 0.397136i | ||||
\(698\) | −14.6499 | − | 2.58318i | −0.554508 | − | 0.0977748i | ||||
\(699\) | 1.61944 | − | 0.941325i | 0.0612528 | − | 0.0356042i | ||||
\(700\) | −6.33575 | − | 0.554306i | −0.239469 | − | 0.0209508i | ||||
\(701\) | −50.4880 | −1.90691 | −0.953453 | − | 0.301540i | \(-0.902499\pi\) | ||||
−0.953453 | + | 0.301540i | \(0.902499\pi\) | |||||||
\(702\) | 7.51206 | − | 17.1630i | 0.283525 | − | 0.647776i | ||||
\(703\) | 19.2313 | 0.725320 | ||||||||
\(704\) | 0.0839714 | + | 0.00734655i | 0.00316479 | + | 0.000276883i | ||||
\(705\) | 0.0602154 | + | 20.5379i | 0.00226784 | + | 0.773501i | ||||
\(706\) | 26.9856 | + | 4.75829i | 1.01562 | + | 0.179081i | ||||
\(707\) | 4.39006 | + | 2.04712i | 0.165105 | + | 0.0769898i | ||||
\(708\) | −13.6098 | + | 6.39499i | −0.511486 | + | 0.240338i | ||||
\(709\) | −10.2282 | + | 14.6074i | −0.384128 | + | 0.548591i | −0.963927 | − | 0.266168i | \(-0.914242\pi\) |
0.579799 | + | 0.814760i | \(0.303131\pi\) | |||||||
\(710\) | 54.1122 | + | 14.4993i | 2.03079 | + | 0.544149i | ||||
\(711\) | −19.1581 | − | 6.84602i | −0.718484 | − | 0.256746i | ||||
\(712\) | 3.13532 | + | 1.81018i | 0.117501 | + | 0.0678394i | ||||
\(713\) | −43.2032 | + | 20.1460i | −1.61797 | + | 0.754473i | ||||
\(714\) | −0.676058 | + | 3.90096i | −0.0253008 | + | 0.145990i | ||||
\(715\) | −1.08190 | − | 0.375541i | −0.0404610 | − | 0.0140444i | ||||
\(716\) | 5.76421 | − | 6.86951i | 0.215418 | − | 0.256726i | ||||
\(717\) | 10.9322 | − | 0.988749i | 0.408270 | − | 0.0369255i | ||||
\(718\) | −17.1661 | − | 6.24793i | −0.640631 | − | 0.233171i | ||||
\(719\) | 4.80520 | − | 8.32285i | 0.179204 | − | 0.310390i | −0.762404 | − | 0.647101i | \(-0.775981\pi\) |
0.941608 | + | 0.336711i | \(0.109315\pi\) | |||||||
\(720\) | 2.86176 | − | 10.9364i | 0.106652 | − | 0.407574i | ||||
\(721\) | 1.92411 | + | 0.515563i | 0.0716575 | + | 0.0192006i | ||||
\(722\) | 10.8704 | + | 7.61156i | 0.404556 | + | 0.283273i | ||||
\(723\) | 28.2709 | + | 19.6722i | 1.05141 | + | 0.731618i | ||||
\(724\) | 17.5777 | − | 6.39775i | 0.653269 | − | 0.237771i | ||||
\(725\) | −1.75960 | + | 9.97917i | −0.0653498 | + | 0.370617i | ||||
\(726\) | 18.3769 | − | 4.98188i | 0.682032 | − | 0.184895i | ||||
\(727\) | 15.7298 | + | 18.7460i | 0.583385 | + | 0.695251i | 0.974320 | − | 0.225167i | \(-0.0722928\pi\) |
−0.390935 | + | 0.920418i | \(0.627848\pi\) | |||||||
\(728\) | 2.32936 | − | 0.887519i | 0.0863317 | − | 0.0328936i | ||||
\(729\) | −26.9958 | + | 0.474945i | −0.999845 | + | 0.0175906i | ||||
\(730\) | −5.60566 | + | 5.60566i | −0.207475 | + | 0.207475i | ||||
\(731\) | 0.615230 | + | 0.733202i | 0.0227551 | + | 0.0271185i | ||||
\(732\) | 6.01892 | − | 10.4960i | 0.222466 | − | 0.387944i | ||||
\(733\) | 28.9549 | + | 41.3519i | 1.06947 | + | 1.52737i | 0.831043 | + | 0.556207i | \(0.187744\pi\) |
0.238430 | + | 0.971160i | \(0.423367\pi\) | |||||||
\(734\) | −11.5432 | − | 5.38267i | −0.426066 | − | 0.198678i | ||||
\(735\) | 24.3133 | − | 34.9406i | 0.896809 | − | 1.28880i | ||||
\(736\) | 3.50854 | − | 5.01072i | 0.129327 | − | 0.184698i | ||||
\(737\) | −0.381087 | + | 0.220020i | −0.0140375 | + | 0.00810456i | ||||
\(738\) | 19.4286 | − | 11.3695i | 0.715177 | − | 0.418518i | ||||
\(739\) | 51.9632 | − | 13.9235i | 1.91150 | − | 0.512185i | 0.918279 | − | 0.395935i | \(-0.129579\pi\) |
0.993220 | − | 0.116250i | \(-0.0370873\pi\) | |||||||
\(740\) | 28.4487 | + | 10.3545i | 1.04580 | + | 0.380638i | ||||
\(741\) | −6.55896 | − | 13.4327i | −0.240950 | − | 0.493461i | ||||
\(742\) | −6.36507 | − | 5.34092i | −0.233669 | − | 0.196072i | ||||
\(743\) | −0.115686 | − | 1.32230i | −0.00424413 | − | 0.0485106i | 0.993777 | − | 0.111385i | \(-0.0355287\pi\) |
−0.998021 | + | 0.0628746i | \(0.979973\pi\) | |||||||
\(744\) | 2.30490 | − | 13.2996i | 0.0845016 | − | 0.487588i | ||||
\(745\) | 9.18483 | − | 25.2351i | 0.336506 | − | 0.924543i | ||||
\(746\) | 25.9251 | − | 6.94662i | 0.949186 | − | 0.254334i | ||||
\(747\) | 15.3654 | + | 32.4530i | 0.562190 | + | 1.18739i | ||||
\(748\) | −0.0721308 | + | 0.269196i | −0.00263736 | + | 0.00984277i | ||||
\(749\) | −11.2554 | − | 7.88113i | −0.411264 | − | 0.287970i | ||||
\(750\) | −9.29836 | + | 25.7820i | −0.339528 | + | 0.941425i | ||||
\(751\) | 9.20740 | + | 25.2971i | 0.335983 | + | 0.923105i | 0.986521 | + | 0.163632i | \(0.0523210\pi\) |
−0.650539 | + | 0.759473i | \(0.725457\pi\) | |||||||
\(752\) | −1.80491 | − | 2.57767i | −0.0658181 | − | 0.0939980i | ||||
\(753\) | 0.100538 | + | 34.2907i | 0.00366379 | + | 1.24962i | ||||
\(754\) | −1.08522 | − | 3.82041i | −0.0395212 | − | 0.139131i | ||||
\(755\) | 79.5897i | 2.89656i | ||||||||
\(756\) | −2.56244 | − | 2.51775i | −0.0931949 | − | 0.0915698i | ||||
\(757\) | −40.9394 | −1.48797 | −0.743985 | − | 0.668197i | \(-0.767066\pi\) | ||||
−0.743985 | + | 0.668197i | \(0.767066\pi\) | |||||||
\(758\) | −6.24381 | + | 5.23918i | −0.226785 | + | 0.190296i | ||||
\(759\) | −0.228612 | + | 0.863309i | −0.00829810 | + | 0.0313361i | ||||
\(760\) | −5.17355 | − | 7.38859i | −0.187664 | − | 0.268012i | ||||
\(761\) | −0.995283 | + | 2.13439i | −0.0360790 | + | 0.0773716i | −0.923521 | − | 0.383547i | \(-0.874702\pi\) |
0.887442 | + | 0.460919i | \(0.152480\pi\) | |||||||
\(762\) | −18.5489 | − | 1.56803i | −0.671954 | − | 0.0568037i | ||||
\(763\) | 0.757915 | + | 4.29835i | 0.0274384 | + | 0.155611i | ||||
\(764\) | −6.61273 | − | 11.4536i | −0.239240 | − | 0.414376i | ||||
\(765\) | 33.9661 | + | 15.5968i | 1.22805 | + | 0.563905i | ||||
\(766\) | −9.03414 | − | 5.21586i | −0.326417 | − | 0.188457i | ||||
\(767\) | −21.8006 | + | 22.4632i | −0.787174 | + | 0.811098i | ||||
\(768\) | 0.597166 | + | 1.62585i | 0.0215484 | + | 0.0586679i | ||||
\(769\) | 37.1794 | − | 3.25278i | 1.34072 | − | 0.117298i | 0.605892 | − | 0.795547i | \(-0.292816\pi\) |
0.734832 | + | 0.678249i | \(0.237261\pi\) | |||||||
\(770\) | −0.141152 | + | 0.168219i | −0.00508678 | + | 0.00606218i | ||||
\(771\) | 15.6811 | + | 42.6934i | 0.564739 | + | 1.53757i | ||||
\(772\) | −1.04718 | + | 0.488307i | −0.0376888 | + | 0.0175746i | ||||
\(773\) | 11.6170 | − | 3.11276i | 0.417834 | − | 0.111958i | −0.0437758 | − | 0.999041i | \(-0.513939\pi\) |
0.461610 | + | 0.887083i | \(0.347272\pi\) | |||||||
\(774\) | −0.864705 | + | 0.0807639i | −0.0310812 | + | 0.00290300i | ||||
\(775\) | −18.5547 | + | 69.2472i | −0.666506 | + | 2.48743i | ||||
\(776\) | −7.61502 | + | 1.34273i | −0.273363 | + | 0.0482013i | ||||
\(777\) | 7.35168 | − | 6.20561i | 0.263740 | − | 0.222625i | ||||
\(778\) | −19.1941 | − | 8.95036i | −0.688142 | − | 0.320886i | ||||
\(779\) | 3.11892 | − | 17.6883i | 0.111747 | − | 0.633748i | ||||
\(780\) | −2.47024 | − | 23.4024i | −0.0884488 | − | 0.837939i | ||||
\(781\) | 0.959973 | − | 0.805513i | 0.0343505 | − | 0.0288235i | ||||
\(782\) | 14.3007 | + | 14.3007i | 0.511392 | + | 0.511392i | ||||
\(783\) | −4.35202 | + | 3.71749i | −0.155528 | + | 0.132852i | ||||
\(784\) | 6.52203i | 0.232930i | ||||||||
\(785\) | 63.5050 | + | 5.55597i | 2.26659 | + | 0.198301i | ||||
\(786\) | −8.11974 | − | 8.07227i | −0.289622 | − | 0.287928i | ||||
\(787\) | 4.29056 | − | 3.00428i | 0.152942 | − | 0.107091i | −0.494601 | − | 0.869120i | \(-0.664686\pi\) |
0.647543 | + | 0.762029i | \(0.275797\pi\) | |||||||
\(788\) | −3.28744 | + | 7.04995i | −0.117110 | + | 0.251144i | ||||
\(789\) | 20.1750 | + | 7.27619i | 0.718249 | + | 0.259039i | ||||
\(790\) | −25.1658 | + | 4.43741i | −0.895360 | + | 0.157876i | ||||
\(791\) | 12.6255 | + | 3.38298i | 0.448910 | + | 0.120285i | ||||
\(792\) | −0.163679 | − | 0.192758i | −0.00581608 | − | 0.00684937i | ||||
\(793\) | 4.00191 | − | 24.8668i | 0.142112 | − | 0.883047i | ||||
\(794\) | −8.67259 | + | 23.8277i | −0.307779 | + | 0.845615i | ||||
\(795\) | −64.1229 | + | 45.1801i | −2.27420 | + | 1.60237i | ||||
\(796\) | −8.96467 | − | 7.52225i | −0.317744 | − | 0.266619i | ||||
\(797\) | 1.65453 | + | 1.38831i | 0.0586064 | + | 0.0491766i | 0.671620 | − | 0.740895i | \(-0.265599\pi\) |
−0.613014 | + | 0.790072i | \(0.710043\pi\) | |||||||
\(798\) | −2.85467 | + | 0.258187i | −0.101054 | + | 0.00913971i | ||||
\(799\) | 9.42923 | − | 4.39692i | 0.333582 | − | 0.155552i | ||||
\(800\) | −2.38095 | − | 8.88583i | −0.0841793 | − | 0.314161i | ||||
\(801\) | −2.87252 | − | 10.4743i | −0.101496 | − | 0.370092i | ||||
\(802\) | −9.49610 | − | 16.4477i | −0.335319 | − | 0.580789i | ||||
\(803\) | 0.0307940 | + | 0.174641i | 0.00108670 | + | 0.00616296i | ||||
\(804\) | −7.42198 | − | 5.16456i | −0.261753 | − | 0.182140i | ||||
\(805\) | 5.45030 | + | 14.9746i | 0.192098 | + | 0.527784i | ||||
\(806\) | −5.29278 | − | 27.5951i | −0.186430 | − | 0.971995i | ||||
\(807\) | 15.6267 | − | 27.2504i | 0.550085 | − | 0.959259i | ||||
\(808\) | −0.610648 | + | 6.97974i | −0.0214825 | + | 0.245546i | ||||
\(809\) | − | 19.5487i | − | 0.687296i | −0.939099 | − | 0.343648i | \(-0.888337\pi\) | ||
0.939099 | − | 0.343648i | \(-0.111663\pi\) | |||||||
\(810\) | −29.1693 | + | 17.3001i | −1.02490 | + | 0.607865i | ||||
\(811\) | 5.24983 | − | 5.24983i | 0.184347 | − | 0.184347i | −0.608900 | − | 0.793247i | \(-0.708389\pi\) |
0.793247 | + | 0.608900i | \(0.208389\pi\) | |||||||
\(812\) | −0.758635 | − | 0.0663720i | −0.0266229 | − | 0.00232920i | ||||
\(813\) | −3.95979 | − | 14.6067i | −0.138876 | − | 0.512279i | ||||
\(814\) | 0.554748 | − | 0.388439i | 0.0194439 | − | 0.0136148i | ||||
\(815\) | −0.290936 | − | 0.799339i | −0.0101910 | − | 0.0279996i | ||||
\(816\) | −5.63667 | + | 1.01095i | −0.197323 | + | 0.0353902i | ||||
\(817\) | −0.397455 | + | 0.567625i | −0.0139052 | + | 0.0198587i | ||||
\(818\) | 6.86615 | + | 11.8925i | 0.240069 | + | 0.415812i | ||||
\(819\) | −6.84184 | − | 3.01853i | −0.239073 | − | 0.105476i | ||||
\(820\) | 14.1375 | − | 24.4869i | 0.493704 | − | 0.855120i | ||||
\(821\) | 14.6378 | + | 31.3909i | 0.510863 | + | 1.09555i | 0.977468 | + | 0.211084i | \(0.0676994\pi\) |
−0.466604 | + | 0.884466i | \(0.654523\pi\) | |||||||
\(822\) | 10.9499 | − | 13.1276i | 0.381922 | − | 0.457877i | ||||
\(823\) | −2.61001 | + | 3.11049i | −0.0909792 | + | 0.108425i | −0.809613 | − | 0.586964i | \(-0.800323\pi\) |
0.718634 | + | 0.695388i | \(0.244768\pi\) | |||||||
\(824\) | 0.251120 | + | 2.87032i | 0.00874819 | + | 0.0999923i | ||||
\(825\) | 0.773582 | + | 1.09792i | 0.0269327 | + | 0.0382248i | ||||
\(826\) | 2.53664 | + | 5.43984i | 0.0882609 | + | 0.189276i | ||||
\(827\) | 4.41990 | + | 16.4953i | 0.153695 | + | 0.573598i | 0.999214 | + | 0.0396517i | \(0.0126248\pi\) |
−0.845518 | + | 0.533946i | \(0.820709\pi\) | |||||||
\(828\) | −18.0531 | + | 3.29251i | −0.627388 | + | 0.114423i | ||||
\(829\) | −22.6642 | + | 13.0852i | −0.787161 | + | 0.454467i | −0.838962 | − | 0.544190i | \(-0.816837\pi\) |
0.0518014 | + | 0.998657i | \(0.483504\pi\) | |||||||
\(830\) | 36.9447 | + | 25.8690i | 1.28237 | + | 0.897924i | ||||
\(831\) | −24.4518 | − | 8.81863i | −0.848224 | − | 0.305915i | ||||
\(832\) | 2.35868 | + | 2.72702i | 0.0817726 | + | 0.0945423i | ||||
\(833\) | −21.2359 | − | 3.74447i | −0.735782 | − | 0.129738i | ||||
\(834\) | −3.48057 | + | 3.50104i | −0.120522 | + | 0.121231i | ||||
\(835\) | −9.64907 | + | 8.09653i | −0.333920 | + | 0.280192i | ||||
\(836\) | −0.201768 | −0.00697828 | ||||||||
\(837\) | −32.9649 | + | 23.5170i | −1.13943 | + | 0.812868i | ||||
\(838\) | −23.7758 | + | 23.7758i | −0.821322 | + | 0.821322i | ||||
\(839\) | 4.03219 | − | 46.0882i | 0.139207 | − | 1.59114i | −0.529957 | − | 0.848025i | \(-0.677792\pi\) |
0.669163 | − | 0.743115i | \(-0.266653\pi\) | |||||||
\(840\) | −4.36191 | − | 1.15507i | −0.150500 | − | 0.0398538i | ||||
\(841\) | 4.82511 | − | 27.3645i | 0.166383 | − | 0.943605i | ||||
\(842\) | 20.1630 | − | 7.33872i | 0.694861 | − | 0.252909i | ||||
\(843\) | −55.7093 | − | 4.70939i | −1.91873 | − | 0.162200i | ||||
\(844\) | 19.5265 | − | 3.44304i | 0.672129 | − | 0.118514i | ||||
\(845\) | −22.0221 | − | 43.7573i | −0.757584 | − | 1.50530i | ||||
\(846\) | −1.58474 | + | 9.30630i | −0.0544846 | + | 0.319957i | ||||
\(847\) | −1.96702 | − | 7.34101i | −0.0675875 | − | 0.252240i | ||||
\(848\) | 4.11056 | − | 11.2937i | 0.141157 | − | 0.387826i | ||||
\(849\) | 22.8990 | − | 8.41067i | 0.785892 | − | 0.288653i | ||||
\(850\) | 30.2995 | − | 2.65086i | 1.03926 | − | 0.0909238i | ||||
\(851\) | −4.28327 | − | 48.9580i | −0.146828 | − | 1.67826i | ||||
\(852\) | 23.3693 | + | 10.8140i | 0.800619 | + | 0.370481i | ||||
\(853\) | −10.3795 | − | 22.2589i | −0.355388 | − | 0.762131i | 0.644610 | − | 0.764512i | \(-0.277020\pi\) |
−0.999997 | + | 0.00238071i | \(0.999242\pi\) | |||||||
\(854\) | −4.18246 | − | 2.41474i | −0.143121 | − | 0.0826308i | ||||
\(855\) | −4.54248 | + | 26.6754i | −0.155349 | + | 0.912280i | ||||
\(856\) | 5.14392 | − | 19.1974i | 0.175815 | − | 0.656152i | ||||
\(857\) | −4.40190 | − | 24.9644i | −0.150366 | − | 0.852769i | −0.962901 | − | 0.269856i | \(-0.913024\pi\) |
0.812534 | − | 0.582913i | \(-0.198087\pi\) | |||||||
\(858\) | −0.460518 | − | 0.255001i | −0.0157218 | − | 0.00870558i | ||||
\(859\) | 1.98642 | − | 0.722999i | 0.0677759 | − | 0.0246684i | −0.307910 | − | 0.951416i | \(-0.599629\pi\) |
0.375686 | + | 0.926747i | \(0.377407\pi\) | |||||||
\(860\) | −0.893574 | + | 0.625687i | −0.0304706 | + | 0.0213358i | ||||
\(861\) | −4.51542 | − | 7.76825i | −0.153885 | − | 0.264741i | ||||
\(862\) | −5.93901 | − | 7.07784i | −0.202284 | − | 0.241072i | ||||
\(863\) | 3.45013 | + | 3.45013i | 0.117444 | + | 0.117444i | 0.763386 | − | 0.645942i | \(-0.223535\pi\) |
−0.645942 | + | 0.763386i | \(0.723535\pi\) | |||||||
\(864\) | 2.15448 | − | 4.72845i | 0.0732970 | − | 0.160865i | ||||
\(865\) | 3.57857 | + | 3.57857i | 0.121675 | + | 0.121675i | ||||
\(866\) | −3.46453 | + | 39.5997i | −0.117729 | + | 1.34565i | ||||
\(867\) | 0.0308179 | + | 10.5111i | 0.00104663 | + | 0.356977i | ||||
\(868\) | −5.30586 | − | 0.935566i | −0.180093 | − | 0.0317552i | ||||
\(869\) | −0.241581 | + | 0.518071i | −0.00819506 | + | 0.0175744i | ||||
\(870\) | −2.43905 | + | 6.76285i | −0.0826914 | + | 0.229282i | ||||
\(871\) | −18.2520 | − | 4.59896i | −0.618446 | − | 0.155830i | ||||
\(872\) | −5.46740 | + | 3.15661i | −0.185150 | + | 0.106896i | ||||
\(873\) | 19.0800 | + | 13.1939i | 0.645759 | + | 0.446545i | ||||
\(874\) | −7.32098 | + | 12.6803i | −0.247636 | + | 0.428918i | ||||
\(875\) | 10.2800 | + | 3.74162i | 0.347528 | + | 0.126490i | ||||
\(876\) | −2.97879 | + | 2.09881i | −0.100644 | + | 0.0709122i | ||||
\(877\) | −5.51461 | + | 0.482466i | −0.186215 | + | 0.0162917i | −0.179882 | − | 0.983688i | \(-0.557572\pi\) |
−0.00633337 | + | 0.999980i | \(0.502016\pi\) | |||||||
\(878\) | 11.3586 | − | 0.993749i | 0.383334 | − | 0.0335374i | ||||
\(879\) | 3.98086 | + | 44.0147i | 0.134271 | + | 1.48458i | ||||
\(880\) | −0.298474 | − | 0.108636i | −0.0100616 | − | 0.00366211i | ||||
\(881\) | 7.01335 | − | 12.1475i | 0.236286 | − | 0.409259i | −0.723360 | − | 0.690471i | \(-0.757403\pi\) |
0.959646 | + | 0.281212i | \(0.0907366\pi\) | |||||||
\(882\) | 13.7540 | − | 13.9162i | 0.463120 | − | 0.468583i | ||||
\(883\) | 19.4526 | − | 11.2310i | 0.654632 | − | 0.377952i | −0.135596 | − | 0.990764i | \(-0.543295\pi\) |
0.790229 | + | 0.612812i | \(0.209962\pi\) | |||||||
\(884\) | −10.2334 | + | 6.11429i | −0.344187 | + | 0.205646i | ||||
\(885\) | 55.7737 | − | 10.0031i | 1.87481 | − | 0.336251i | ||||
\(886\) | 3.70697 | − | 7.94962i | 0.124538 | − | 0.267073i | ||||
\(887\) | 10.5468 | + | 1.85969i | 0.354128 | + | 0.0624423i | 0.347882 | − | 0.937538i | \(-0.386901\pi\) |
0.00624553 | + | 0.999980i | \(0.498012\pi\) | |||||||
\(888\) | 12.0717 | + | 6.92247i | 0.405099 | + | 0.232303i | ||||
\(889\) | −0.647588 | + | 7.40196i | −0.0217194 | + | 0.248254i | ||||
\(890\) | −9.64650 | − | 9.64650i | −0.323352 | − | 0.323352i | ||||
\(891\) | −0.0572515 | + | 0.756466i | −0.00191800 | + | 0.0253426i | ||||
\(892\) | −5.28839 | − | 5.28839i | −0.177068 | − | 0.177068i | ||||
\(893\) | 4.84166 | + | 5.77007i | 0.162020 | + | 0.193088i | ||||
\(894\) | 6.14051 | − | 10.7080i | 0.205369 | − | 0.358131i | ||||
\(895\) | −27.6802 | + | 19.3819i | −0.925248 | + | 0.647866i | ||||
\(896\) | 0.649659 | − | 0.236457i | 0.0217036 | − | 0.00789946i | ||||
\(897\) | −32.7353 | + | 19.6893i | −1.09300 | + | 0.657405i | ||||
\(898\) | −3.30208 | − | 18.7270i | −0.110192 | − | 0.624929i | ||||
\(899\) | −2.22172 | + | 8.29158i | −0.0740986 | + | 0.276540i | ||||
\(900\) | −13.6585 | + | 23.9809i | −0.455285 | + | 0.799365i | ||||
\(901\) | 34.4126 | + | 19.8681i | 1.14645 | + | 0.661902i | ||||
\(902\) | −0.267304 | − | 0.573235i | −0.00890025 | − | 0.0190867i | ||||
\(903\) | 0.0312250 | + | 0.345242i | 0.00103910 | + | 0.0114889i | ||||
\(904\) | 1.64778 | + | 18.8342i | 0.0548044 | + | 0.626418i | ||||
\(905\) | −70.2188 | + | 6.14335i | −2.33415 | + | 0.204212i | ||||
\(906\) | −6.24698 | + | 36.0461i | −0.207542 | + | 1.19755i | ||||
\(907\) | 10.9241 | − | 30.0138i | 0.362730 | − | 0.996592i | −0.615330 | − | 0.788269i | \(-0.710977\pi\) |
0.978060 | − | 0.208323i | \(-0.0668004\pi\) | |||||||
\(908\) | −6.11470 | − | 22.8204i | −0.202923 | − | 0.757321i | ||||
\(909\) | 16.0221 | − | 13.6051i | 0.531421 | − | 0.451252i | ||||
\(910\) | −9.34396 | + | 0.958612i | −0.309749 | + | 0.0317777i | ||||
\(911\) | −27.4424 | + | 4.83884i | −0.909208 | + | 0.160318i | −0.608644 | − | 0.793444i | \(-0.708286\pi\) |
−0.300564 | + | 0.953762i | \(0.597175\pi\) | |||||||
\(912\) | −1.76317 | − | 3.75236i | −0.0583842 | − | 0.124253i | ||||
\(913\) | 0.948042 | − | 0.345059i | 0.0313756 | − | 0.0114198i | ||||
\(914\) | −1.63984 | + | 9.29999i | −0.0542410 | + | 0.307616i | ||||
\(915\) | −32.1442 | + | 32.3333i | −1.06266 | + | 1.06890i | ||||
\(916\) | 0.446787 | − | 5.10680i | 0.0147622 | − | 0.168733i | ||||
\(917\) | −3.23156 | + | 3.23156i | −0.106715 | + | 0.106715i | ||||
\(918\) | 14.1590 | + | 9.72979i | 0.467317 | + | 0.321131i | ||||
\(919\) | 47.1438 | 1.55513 | 0.777565 | − | 0.628803i | \(-0.216455\pi\) | ||||
0.777565 | + | 0.628803i | \(0.216455\pi\) | |||||||
\(920\) | −17.6572 | + | 14.8162i | −0.582142 | + | 0.488475i | ||||
\(921\) | −8.69130 | − | 2.30154i | −0.286388 | − | 0.0758382i | ||||
\(922\) | 2.40136 | + | 0.423424i | 0.0790845 | + | 0.0139447i | ||||
\(923\) | 53.4630 | + | 3.87208i | 1.75976 | + | 0.127451i | ||||
\(924\) | −0.0771312 | + | 0.0651071i | −0.00253743 | + | 0.00214187i | ||||
\(925\) | −60.5428 | − | 42.3925i | −1.99063 | − | 1.39386i | ||||
\(926\) | 18.0446 | − | 10.4180i | 0.592981 | − | 0.342358i | ||||
\(927\) | 5.51724 | − | 6.65404i | 0.181210 | − | 0.218547i | ||||
\(928\) | −0.285092 | − | 1.06398i | −0.00935861 | − | 0.0349268i | ||||
\(929\) | −17.2072 | − | 36.9009i | −0.564549 | − | 1.21068i | −0.956780 | − | 0.290812i | \(-0.906075\pi\) |
0.392231 | − | 0.919867i | \(-0.371703\pi\) | |||||||
\(930\) | −21.3602 | + | 46.1600i | −0.700429 | + | 1.51365i | ||||
\(931\) | −1.36064 | − | 15.5522i | −0.0445931 | − | 0.509702i | ||||
\(932\) | 0.695150 | − | 0.828447i | 0.0227704 | − | 0.0271367i | ||||
\(933\) | 14.9126 | + | 40.6014i | 0.488218 | + | 1.32923i | ||||
\(934\) | 9.04586 | + | 19.3989i | 0.295989 | + | 0.634751i | ||||
\(935\) | 0.525083 | − | 0.909470i | 0.0171720 | − | 0.0297428i | ||||
\(936\) | 0.718079 | − | 10.7928i | 0.0234711 | − | 0.352773i | ||||
\(937\) | −10.4018 | − | 18.0164i | −0.339811 | − | 0.588570i | 0.644586 | − | 0.764532i | \(-0.277030\pi\) |
−0.984397 | + | 0.175962i | \(0.943696\pi\) | |||||||
\(938\) | −2.07013 | + | 2.95645i | −0.0675920 | + | 0.0965314i | ||||
\(939\) | 2.75793 | + | 3.26727i | 0.0900015 | + | 0.106623i | ||||
\(940\) | 4.05553 | + | 11.1425i | 0.132277 | + | 0.363428i | ||||
\(941\) | 20.0011 | − | 14.0049i | 0.652017 | − | 0.456547i | −0.200186 | − | 0.979758i | \(-0.564155\pi\) |
0.852203 | + | 0.523210i | \(0.175266\pi\) | |||||||
\(942\) | 28.3253 | + | 7.50080i | 0.922887 | + | 0.244389i | ||||
\(943\) | −45.7246 | − | 4.00038i | −1.48900 | − | 0.130270i | ||||
\(944\) | −6.13897 | + | 6.13897i | −0.199806 | + | 0.199806i | ||||
\(945\) | 6.87123 | + | 11.6632i | 0.223521 | + | 0.379404i | ||||
\(946\) | 0.0244017i | 0.000793368i | ||||||||
\(947\) | 5.12171 | − | 58.5414i | 0.166433 | − | 1.90234i | −0.212891 | − | 0.977076i | \(-0.568288\pi\) |
0.379324 | − | 0.925264i | \(-0.376157\pi\) | |||||||
\(948\) | −11.7459 | + | 0.0344380i | −0.381488 | + | 0.00111849i | ||||
\(949\) | −4.25734 | + | 6.27804i | −0.138199 | + | 0.203794i | ||||
\(950\) | 7.53130 | + | 20.6921i | 0.244348 | + | 0.671339i | ||||
\(951\) | −13.2111 | + | 6.20764i | −0.428398 | + | 0.201297i | ||||
\(952\) | 0.396924 | + | 2.25107i | 0.0128644 | + | 0.0729575i | ||||
\(953\) | −15.2748 | − | 26.4568i | −0.494800 | − | 0.857019i | 0.505182 | − | 0.863013i | \(-0.331425\pi\) |
−0.999982 | + | 0.00599410i | \(0.998092\pi\) | |||||||
\(954\) | −32.5874 | + | 15.4290i | −1.05506 | + | 0.499533i | ||||
\(955\) | 12.8985 | + | 48.1380i | 0.417387 | + | 1.55771i | ||||
\(956\) | 5.74369 | − | 2.67833i | 0.185764 | − | 0.0866233i | ||||
\(957\) | 0.0926277 | + | 0.131464i | 0.00299423 | + | 0.00424963i | ||||
\(958\) | −13.7927 | − | 11.5735i | −0.445623 | − | 0.373922i | ||||
\(959\) | −5.22707 | − | 4.38604i | −0.168791 | − | 0.141632i | ||||
\(960\) | −0.587900 | − | 6.50017i | −0.0189744 | − | 0.209792i | ||||
\(961\) | −10.1685 | + | 27.9378i | −0.328018 | + | 0.901221i | ||||
\(962\) | 28.5998 | + | 4.60267i | 0.922094 | + | 0.148396i | ||||
\(963\) | −51.4599 | + | 30.1141i | −1.65827 | + | 0.970414i | ||||
\(964\) | 19.2074 | + | 5.14662i | 0.618630 | + | 0.165761i | ||||
\(965\) | 4.28775 | − | 0.756046i | 0.138028 | − | 0.0243380i | ||||
\(966\) | 1.29308 | + | 7.20976i | 0.0416042 | + | 0.231970i | ||||
\(967\) | 18.2011 | − | 39.0323i | 0.585307 | − | 1.25520i | −0.361192 | − | 0.932491i | \(-0.617630\pi\) |
0.946500 | − | 0.322704i | \(-0.104592\pi\) | |||||||
\(968\) | 9.00485 | − | 6.30527i | 0.289427 | − | 0.202659i | ||||
\(969\) | 13.2301 | − | 3.58659i | 0.425011 | − | 0.115218i | ||||
\(970\) | 29.0267 | + | 2.53950i | 0.931990 | + | 0.0815386i | ||||
\(971\) | − | 41.8891i | − | 1.34429i | −0.740422 | − | 0.672143i | \(-0.765374\pi\) | ||
0.740422 | − | 0.672143i | \(-0.234626\pi\) | |||||||
\(972\) | −14.5686 | + | 5.54572i | −0.467289 | + | 0.177879i | ||||
\(973\) | 1.39337 | + | 1.39337i | 0.0446695 | + | 0.0446695i | ||||
\(974\) | 16.9020 | − | 14.1824i | 0.541574 | − | 0.454435i | ||||
\(975\) | −8.96178 | + | 56.7462i | −0.287007 | + | 1.81733i | ||||
\(976\) | 1.21303 | − | 6.87943i | 0.0388281 | − | 0.220205i | ||||
\(977\) | 32.9132 | + | 15.3477i | 1.05299 | + | 0.491016i | 0.870488 | − | 0.492190i | \(-0.163804\pi\) |
0.182499 | + | 0.983206i | \(0.441581\pi\) | |||||||
\(978\) | −0.0690245 | − | 0.384856i | −0.00220716 | − | 0.0123063i | ||||
\(979\) | −0.300532 | + | 0.0529919i | −0.00960504 | + | 0.00169363i | ||||
\(980\) | 6.36081 | − | 23.7389i | 0.203189 | − | 0.758310i | ||||
\(981\) | 18.3227 | + | 4.79458i | 0.584999 | + | 0.153079i | ||||
\(982\) | −30.2758 | + | 8.11237i | −0.966138 | + | 0.258876i | ||||
\(983\) | 12.6368 | − | 5.89266i | 0.403053 | − | 0.187947i | −0.210512 | − | 0.977591i | \(-0.567513\pi\) |
0.613564 | + | 0.789645i | \(0.289735\pi\) | |||||||
\(984\) | 8.32484 | − | 9.98044i | 0.265386 | − | 0.318165i | ||||
\(985\) | 18.8413 | − | 22.4542i | 0.600334 | − | 0.715450i | ||||
\(986\) | 3.62802 | − | 0.317411i | 0.115540 | − | 0.0101084i | ||||
\(987\) | 3.71277 | + | 0.643443i | 0.118179 | + | 0.0204810i | ||||
\(988\) | −6.19333 | − | 6.01066i | −0.197036 | − | 0.191225i | ||||
\(989\) | 1.53355 | + | 0.885398i | 0.0487642 | + | 0.0281540i | ||||
\(990\) | 0.407765 | + | 0.861234i | 0.0129596 | + | 0.0273718i | ||||
\(991\) | −28.6979 | − | 49.7062i | −0.911619 | − | 1.57897i | −0.811777 | − | 0.583968i | \(-0.801499\pi\) |
−0.0998424 | − | 0.995003i | \(-0.531834\pi\) | |||||||
\(992\) | −1.35324 | − | 7.67461i | −0.0429654 | − | 0.243669i | ||||
\(993\) | 1.91226 | + | 4.06965i | 0.0606836 | + | 0.129147i | ||||
\(994\) | 4.34376 | − | 9.31522i | 0.137776 | − | 0.295461i | ||||
\(995\) | 25.2933 | + | 36.1225i | 0.801850 | + | 1.14516i | ||||
\(996\) | 14.7018 | + | 14.6158i | 0.465843 | + | 0.463120i | ||||
\(997\) | 25.3529 | − | 21.2736i | 0.802934 | − | 0.673741i | −0.145976 | − | 0.989288i | \(-0.546632\pi\) |
0.948910 | + | 0.315547i | \(0.102188\pi\) | |||||||
\(998\) | −5.50841 | −0.174366 | ||||||||
\(999\) | −11.1592 | − | 40.2279i | −0.353061 | − | 1.27276i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 702.2.bs.a.5.18 | ✓ | 504 | |
13.8 | odd | 4 | inner | 702.2.bs.a.437.39 | yes | 504 | |
27.11 | odd | 18 | inner | 702.2.bs.a.551.39 | yes | 504 | |
351.281 | even | 36 | inner | 702.2.bs.a.281.18 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
702.2.bs.a.5.18 | ✓ | 504 | 1.1 | even | 1 | trivial | |
702.2.bs.a.281.18 | yes | 504 | 351.281 | even | 36 | inner | |
702.2.bs.a.437.39 | yes | 504 | 13.8 | odd | 4 | inner | |
702.2.bs.a.551.39 | yes | 504 | 27.11 | odd | 18 | inner |