Properties

Label 702.2.bs.a.5.18
Level $702$
Weight $2$
Character 702.5
Analytic conductor $5.605$
Analytic rank $0$
Dimension $504$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

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)
 
\(f(q)\) \(=\) \(q+(-0.996195 - 0.0871557i) q^{2} +(1.50253 + 0.861624i) q^{3} +(0.984808 + 0.173648i) q^{4} +(-3.41514 - 1.59251i) q^{5} +(-1.42172 - 0.989299i) q^{6} +(-0.396544 + 0.566323i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(1.51521 + 2.58924i) q^{9} +(3.26335 + 1.88410i) q^{10} +(0.0763947 - 0.0356234i) q^{11} +(1.33009 + 1.10945i) q^{12} +(3.40619 + 1.18232i) q^{13} +(0.444393 - 0.529607i) q^{14} +(-3.75922 - 5.33536i) q^{15} +(0.939693 + 0.342020i) q^{16} +(-1.65313 + 2.86331i) q^{17} +(-1.28378 - 2.71144i) q^{18} +(-2.31211 - 0.619527i) q^{19} +(-3.08672 - 2.16135i) q^{20} +(-1.08378 + 0.509247i) q^{21} +(-0.0792088 + 0.0288296i) q^{22} +(-1.06220 + 6.02403i) q^{23} +(-1.22833 - 1.22115i) q^{24} +(5.91319 + 7.04706i) q^{25} +(-3.29018 - 1.47469i) q^{26} +(0.0457034 + 5.19595i) q^{27} +(-0.488860 + 0.488860i) q^{28} +(0.708038 + 0.843807i) q^{29} +(3.27991 + 5.64270i) q^{30} +(4.46988 + 6.38365i) q^{31} +(-0.906308 - 0.422618i) q^{32} +(0.145479 + 0.0122981i) q^{33} +(1.89639 - 2.70833i) q^{34} +(2.25613 - 1.30258i) q^{35} +(1.04257 + 2.81301i) q^{36} +(-7.76046 + 2.07941i) q^{37} +(2.24931 + 0.818683i) q^{38} +(4.09919 + 4.71133i) q^{39} +(2.88660 + 2.42215i) q^{40} +(0.653982 + 7.47505i) q^{41} +(1.12404 - 0.412852i) q^{42} +(0.0990112 - 0.272031i) q^{43} +(0.0814200 - 0.0218164i) q^{44} +(-1.05128 - 11.2556i) q^{45} +(1.58319 - 5.90853i) q^{46} +(-2.57767 - 1.80491i) q^{47} +(1.11723 + 1.32356i) q^{48} +(2.23067 + 6.12870i) q^{49} +(-5.27649 - 7.53561i) q^{50} +(-4.95097 + 2.87783i) q^{51} +(3.14913 + 1.75584i) q^{52} -12.0185i q^{53} +(0.407328 - 5.18016i) q^{54} -0.317629 q^{55} +(0.529607 - 0.444393i) q^{56} +(-2.94022 - 2.92303i) q^{57} +(-0.631801 - 0.902305i) q^{58} +(-3.66909 + 7.86840i) q^{59} +(-2.77563 - 5.90709i) q^{60} +(-1.21303 - 6.87943i) q^{61} +(-3.89650 - 6.74894i) q^{62} +(-2.06719 - 0.168647i) q^{63} +(0.866025 + 0.500000i) q^{64} +(-9.74976 - 9.46218i) q^{65} +(-0.143854 - 0.0249307i) q^{66} +(-5.20056 + 0.454990i) q^{67} +(-2.12522 + 2.53274i) q^{68} +(-6.78643 + 8.13608i) q^{69} +(-2.36107 + 1.10098i) q^{70} +(14.3602 - 3.84781i) q^{71} +(-0.793436 - 2.89317i) q^{72} +(-0.544508 + 2.03213i) q^{73} +(7.91216 - 1.39513i) q^{74} +(2.81284 + 15.6834i) q^{75} +(-2.16940 - 1.01161i) q^{76} +(-0.0101195 + 0.0573903i) q^{77} +(-3.67297 - 5.05067i) q^{78} +(-5.19494 + 4.35907i) q^{79} +(-2.66452 - 2.66452i) q^{80} +(-4.40828 + 7.84647i) q^{81} -7.50360i q^{82} +(11.9234 + 1.04316i) q^{83} +(-1.15574 + 0.313315i) q^{84} +(10.2055 - 7.14598i) q^{85} +(-0.122344 + 0.262367i) q^{86} +(0.336806 + 1.87791i) q^{87} +(-0.0830116 + 0.0146372i) q^{88} +(-3.49700 - 0.937018i) q^{89} +(0.0662877 + 11.3044i) q^{90} +(-2.02028 + 1.46016i) q^{91} +(-2.09212 + 5.74806i) q^{92} +(1.21584 + 13.4430i) q^{93} +(2.41056 + 2.02270i) q^{94} +(6.90957 + 5.79782i) q^{95} +(-0.997619 - 1.41589i) q^{96} +(7.00802 - 3.26789i) q^{97} +(-1.68803 - 6.29980i) q^{98} +(0.207991 + 0.143827i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504 q - 24 q^{11} + 24 q^{15} + 24 q^{21} - 144 q^{27} + 24 q^{39} + 48 q^{41} + 12 q^{45} + 132 q^{47} + 24 q^{50} + 72 q^{54} - 72 q^{57} + 12 q^{63} - 156 q^{65} + 96 q^{66} - 48 q^{72} + 36 q^{73} - 96 q^{74}+ \cdots - 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

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 \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −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
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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