Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,4,Mod(7,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.l (of order \(44\), degree \(20\), 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: | \(6.78521965066\) |
Analytic rank: | \(0\) |
Dimension: | \(680\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 102.29 | ||
Character | \(\chi\) | \(=\) | 115.102 |
Dual form | 115.4.l.a.53.29 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.298608 | − | 4.17509i | 0.105574 | − | 1.47612i | −0.618167 | − | 0.786047i | \(-0.712125\pi\) |
0.723741 | − | 0.690071i | \(-0.242421\pi\) | |||||||
\(3\) | 3.03712 | − | 0.660684i | 0.584493 | − | 0.127149i | 0.0894109 | − | 0.995995i | \(-0.471502\pi\) |
0.495082 | + | 0.868846i | \(0.335138\pi\) | |||||||
\(4\) | −9.42365 | − | 1.35492i | −1.17796 | − | 0.169365i | ||||
\(5\) | −11.1630 | − | 0.622798i | −0.998447 | − | 0.0557047i | ||||
\(6\) | −1.85151 | − | 12.8775i | −0.125979 | − | 0.876204i | ||||
\(7\) | −12.7837 | + | 6.98043i | −0.690255 | + | 0.376908i | −0.785769 | − | 0.618520i | \(-0.787732\pi\) |
0.0955139 | + | 0.995428i | \(0.469551\pi\) | |||||||
\(8\) | −1.35291 | + | 6.21924i | −0.0597908 | + | 0.274854i | ||||
\(9\) | −15.7725 | + | 7.20306i | −0.584167 | + | 0.266780i | ||||
\(10\) | −5.93360 | + | 46.4205i | −0.187637 | + | 1.46794i | ||||
\(11\) | −20.6924 | − | 17.9301i | −0.567182 | − | 0.491466i | 0.323416 | − | 0.946257i | \(-0.395169\pi\) |
−0.890598 | + | 0.454791i | \(0.849714\pi\) | |||||||
\(12\) | −29.5159 | + | 2.11102i | −0.710042 | + | 0.0507832i | ||||
\(13\) | 4.74551 | − | 8.69076i | 0.101244 | − | 0.185414i | −0.822147 | − | 0.569275i | \(-0.807224\pi\) |
0.923391 | + | 0.383861i | \(0.125406\pi\) | |||||||
\(14\) | 25.3266 | + | 55.4575i | 0.483487 | + | 1.05869i | ||||
\(15\) | −34.3147 | + | 5.48369i | −0.590668 | + | 0.0943922i | ||||
\(16\) | −47.5174 | − | 13.9524i | −0.742459 | − | 0.218006i | ||||
\(17\) | −24.1781 | − | 18.0995i | −0.344944 | − | 0.258222i | 0.412732 | − | 0.910852i | \(-0.364574\pi\) |
−0.757676 | + | 0.652631i | \(0.773665\pi\) | |||||||
\(18\) | 25.3636 | + | 68.0025i | 0.332126 | + | 0.890464i | ||||
\(19\) | 16.8117 | − | 116.928i | 0.202993 | − | 1.41184i | −0.592348 | − | 0.805682i | \(-0.701799\pi\) |
0.795341 | − | 0.606162i | \(-0.207292\pi\) | |||||||
\(20\) | 104.352 | + | 20.9939i | 1.16669 | + | 0.234719i | ||||
\(21\) | −34.2137 | + | 29.6463i | −0.355526 | + | 0.308065i | ||||
\(22\) | −81.0387 | + | 81.0387i | −0.785341 | + | 0.785341i | ||||
\(23\) | 110.261 | − | 3.09784i | 0.999606 | − | 0.0280845i | ||||
\(24\) | 19.7824i | 0.168253i | ||||||||
\(25\) | 124.224 | + | 13.9046i | 0.993794 | + | 0.111237i | ||||
\(26\) | −34.8677 | − | 22.4081i | −0.263004 | − | 0.169023i | ||||
\(27\) | −110.325 | + | 82.5885i | −0.786375 | + | 0.588673i | ||||
\(28\) | 129.927 | − | 48.4603i | 0.876925 | − | 0.327076i | ||||
\(29\) | 251.814 | − | 36.2053i | 1.61244 | − | 0.231833i | 0.723653 | − | 0.690164i | \(-0.242461\pi\) |
0.888782 | + | 0.458330i | \(0.151552\pi\) | |||||||
\(30\) | 12.6483 | + | 144.905i | 0.0769748 | + | 0.881862i | ||||
\(31\) | −75.0715 | + | 48.2455i | −0.434943 | + | 0.279521i | −0.739735 | − | 0.672898i | \(-0.765049\pi\) |
0.304792 | + | 0.952419i | \(0.401413\pi\) | |||||||
\(32\) | −90.2353 | + | 241.930i | −0.498485 | + | 1.33649i | ||||
\(33\) | −74.6914 | − | 40.7846i | −0.394003 | − | 0.215142i | ||||
\(34\) | −82.7868 | + | 95.5410i | −0.417583 | + | 0.481916i | ||||
\(35\) | 147.052 | − | 69.9607i | 0.710179 | − | 0.337872i | ||||
\(36\) | 158.394 | − | 46.5087i | 0.733306 | − | 0.215318i | ||||
\(37\) | −300.203 | − | 111.970i | −1.33387 | − | 0.497506i | −0.421481 | − | 0.906837i | \(-0.638489\pi\) |
−0.912386 | + | 0.409331i | \(0.865762\pi\) | |||||||
\(38\) | −483.164 | − | 105.106i | −2.06262 | − | 0.448695i | ||||
\(39\) | 8.67083 | − | 29.5301i | 0.0356011 | − | 0.121246i | ||||
\(40\) | 18.9759 | − | 68.5826i | 0.0750087 | − | 0.271097i | ||||
\(41\) | 122.519 | − | 268.278i | 0.466688 | − | 1.02190i | −0.519224 | − | 0.854638i | \(-0.673779\pi\) |
0.985912 | − | 0.167266i | \(-0.0534937\pi\) | |||||||
\(42\) | 113.560 | + | 151.698i | 0.417206 | + | 0.557322i | ||||
\(43\) | 4.25897 | + | 19.5782i | 0.0151044 | + | 0.0694336i | 0.984082 | − | 0.177714i | \(-0.0568703\pi\) |
−0.968978 | + | 0.247148i | \(0.920507\pi\) | |||||||
\(44\) | 170.704 | + | 197.003i | 0.584879 | + | 0.674986i | ||||
\(45\) | 180.554 | − | 70.5845i | 0.598120 | − | 0.233825i | ||||
\(46\) | 19.9910 | − | 461.273i | 0.0640764 | − | 1.47850i | ||||
\(47\) | −82.1440 | − | 82.1440i | −0.254935 | − | 0.254935i | 0.568056 | − | 0.822990i | \(-0.307696\pi\) |
−0.822990 | + | 0.568056i | \(0.807696\pi\) | |||||||
\(48\) | −153.534 | − | 10.9810i | −0.461681 | − | 0.0330201i | ||||
\(49\) | −70.7432 | + | 110.079i | −0.206249 | + | 0.320929i | ||||
\(50\) | 95.1472 | − | 514.496i | 0.269117 | − | 1.45521i | ||||
\(51\) | −85.3896 | − | 38.9961i | −0.234450 | − | 0.107070i | ||||
\(52\) | −56.4953 | + | 75.4689i | −0.150663 | + | 0.201263i | ||||
\(53\) | −119.410 | − | 218.684i | −0.309477 | − | 0.566765i | 0.675933 | − | 0.736963i | \(-0.263741\pi\) |
−0.985410 | + | 0.170199i | \(0.945559\pi\) | |||||||
\(54\) | 311.871 | + | 485.280i | 0.785930 | + | 1.22293i | ||||
\(55\) | 219.822 | + | 213.040i | 0.538924 | + | 0.522297i | ||||
\(56\) | −26.1177 | − | 88.9487i | −0.0623237 | − | 0.212255i | ||||
\(57\) | −26.1933 | − | 366.230i | −0.0608664 | − | 0.851024i | ||||
\(58\) | −75.9669 | − | 1062.16i | −0.171982 | − | 2.40462i | ||||
\(59\) | −161.324 | − | 549.418i | −0.355976 | − | 1.21234i | −0.921751 | − | 0.387782i | \(-0.873241\pi\) |
0.565776 | − | 0.824559i | \(-0.308577\pi\) | |||||||
\(60\) | 330.800 | − | 5.18282i | 0.711768 | − | 0.0111516i | ||||
\(61\) | −43.3676 | − | 67.4813i | −0.0910270 | − | 0.141641i | 0.792754 | − | 0.609542i | \(-0.208647\pi\) |
−0.883781 | + | 0.467901i | \(0.845010\pi\) | |||||||
\(62\) | 179.012 | + | 327.837i | 0.366687 | + | 0.671537i | ||||
\(63\) | 151.350 | − | 202.180i | 0.302672 | − | 0.404323i | ||||
\(64\) | 622.751 | + | 284.401i | 1.21631 | + | 0.555471i | ||||
\(65\) | −58.3867 | + | 94.0593i | −0.111415 | + | 0.179486i | ||||
\(66\) | −192.583 | + | 299.665i | −0.359171 | + | 0.558882i | ||||
\(67\) | −589.558 | − | 42.1660i | −1.07501 | − | 0.0768865i | −0.477412 | − | 0.878680i | \(-0.658425\pi\) |
−0.597602 | + | 0.801793i | \(0.703880\pi\) | |||||||
\(68\) | 203.322 | + | 203.322i | 0.362595 | + | 0.362595i | ||||
\(69\) | 332.828 | − | 82.2559i | 0.580692 | − | 0.143514i | ||||
\(70\) | −248.182 | − | 634.845i | −0.423762 | − | 1.08398i | ||||
\(71\) | 290.182 | + | 334.888i | 0.485047 | + | 0.559774i | 0.944535 | − | 0.328410i | \(-0.106513\pi\) |
−0.459489 | + | 0.888184i | \(0.651967\pi\) | |||||||
\(72\) | −23.4587 | − | 107.838i | −0.0383977 | − | 0.176511i | ||||
\(73\) | 59.1406 | + | 79.0026i | 0.0948203 | + | 0.126665i | 0.845442 | − | 0.534067i | \(-0.179337\pi\) |
−0.750622 | + | 0.660732i | \(0.770246\pi\) | |||||||
\(74\) | −557.128 | + | 1219.94i | −0.875200 | + | 1.91642i | ||||
\(75\) | 386.470 | − | 39.8432i | 0.595009 | − | 0.0613426i | ||||
\(76\) | −316.854 | + | 1079.11i | −0.478233 | + | 1.62871i | ||||
\(77\) | 389.685 | + | 84.7709i | 0.576737 | + | 0.125461i | ||||
\(78\) | −120.702 | − | 45.0195i | −0.175215 | − | 0.0653519i | ||||
\(79\) | −755.287 | + | 221.772i | −1.07565 | + | 0.315840i | −0.771138 | − | 0.636668i | \(-0.780312\pi\) |
−0.304514 | + | 0.952508i | \(0.598494\pi\) | |||||||
\(80\) | 521.746 | + | 185.344i | 0.729162 | + | 0.259026i | ||||
\(81\) | 26.0766 | − | 30.0941i | 0.0357704 | − | 0.0412813i | ||||
\(82\) | −1083.50 | − | 591.637i | −1.45918 | − | 0.796773i | ||||
\(83\) | −202.359 | + | 542.546i | −0.267612 | + | 0.717496i | 0.731743 | + | 0.681581i | \(0.238707\pi\) |
−0.999355 | + | 0.0359148i | \(0.988566\pi\) | |||||||
\(84\) | 362.586 | − | 233.020i | 0.470969 | − | 0.302674i | ||||
\(85\) | 258.627 | + | 217.102i | 0.330024 | + | 0.277036i | ||||
\(86\) | 83.0125 | − | 11.9354i | 0.104087 | − | 0.0149654i | ||||
\(87\) | 740.867 | − | 276.329i | 0.912980 | − | 0.340524i | ||||
\(88\) | 139.506 | − | 104.433i | 0.168994 | − | 0.126507i | ||||
\(89\) | 1241.07 | + | 797.586i | 1.47812 | + | 0.949933i | 0.997324 | + | 0.0731019i | \(0.0232898\pi\) |
0.480799 | + | 0.876831i | \(0.340347\pi\) | |||||||
\(90\) | −240.782 | − | 774.907i | −0.282007 | − | 0.907582i | ||||
\(91\) | 144.226i | 0.166143i | ||||||||
\(92\) | −1043.26 | − | 120.201i | −1.18225 | − | 0.136215i | ||||
\(93\) | −196.126 | + | 196.126i | −0.218680 | + | 0.218680i | ||||
\(94\) | −367.488 | + | 318.430i | −0.403228 | + | 0.349399i | ||||
\(95\) | −260.491 | + | 1294.79i | −0.281324 | + | 1.39834i | ||||
\(96\) | −114.216 | + | 794.387i | −0.121428 | + | 0.844550i | ||||
\(97\) | −55.1893 | − | 147.968i | −0.0577693 | − | 0.154886i | 0.904859 | − | 0.425711i | \(-0.139976\pi\) |
−0.962628 | + | 0.270826i | \(0.912703\pi\) | |||||||
\(98\) | 438.464 | + | 328.230i | 0.451955 | + | 0.338329i | ||||
\(99\) | 455.523 | + | 133.754i | 0.462442 | + | 0.135785i | ||||
\(100\) | −1151.81 | − | 299.345i | −1.15181 | − | 0.299345i | ||||
\(101\) | 361.264 | + | 791.057i | 0.355912 | + | 0.779338i | 0.999898 | + | 0.0143005i | \(0.00455214\pi\) |
−0.643986 | + | 0.765037i | \(0.722721\pi\) | |||||||
\(102\) | −188.311 | + | 344.865i | −0.182799 | + | 0.334772i | ||||
\(103\) | 913.887 | − | 65.3625i | 0.874252 | − | 0.0625278i | 0.373002 | − | 0.927830i | \(-0.378328\pi\) |
0.501250 | + | 0.865303i | \(0.332874\pi\) | |||||||
\(104\) | 47.6296 | + | 41.2713i | 0.0449084 | + | 0.0389133i | ||||
\(105\) | 400.391 | − | 309.633i | 0.372135 | − | 0.287782i | ||||
\(106\) | −948.682 | + | 433.248i | −0.869284 | + | 0.396989i | ||||
\(107\) | 206.648 | − | 949.947i | 0.186705 | − | 0.858270i | −0.784519 | − | 0.620104i | \(-0.787090\pi\) |
0.971225 | − | 0.238165i | \(-0.0765460\pi\) | |||||||
\(108\) | 1151.57 | − | 628.804i | 1.02602 | − | 0.560247i | ||||
\(109\) | −231.381 | − | 1609.29i | −0.203324 | − | 1.41415i | −0.794333 | − | 0.607483i | \(-0.792179\pi\) |
0.591009 | − | 0.806665i | \(-0.298730\pi\) | |||||||
\(110\) | 955.104 | − | 854.163i | 0.827869 | − | 0.740375i | ||||
\(111\) | −985.728 | − | 141.726i | −0.842893 | − | 0.121190i | ||||
\(112\) | 704.841 | − | 153.329i | 0.594654 | − | 0.129359i | ||||
\(113\) | −24.1532 | + | 337.705i | −0.0201074 | + | 0.281138i | 0.977444 | + | 0.211196i | \(0.0677360\pi\) |
−0.997551 | + | 0.0699420i | \(0.977719\pi\) | |||||||
\(114\) | −1536.87 | −1.26264 | ||||||||
\(115\) | −1232.77 | − | 34.0890i | −0.999618 | − | 0.0276419i | ||||
\(116\) | −2422.06 | −1.93864 | ||||||||
\(117\) | −12.2486 | + | 171.257i | −0.00967846 | + | 0.135323i | ||||
\(118\) | −2342.04 | + | 509.480i | −1.82714 | + | 0.397470i | ||||
\(119\) | 435.427 | + | 62.6050i | 0.335425 | + | 0.0482268i | ||||
\(120\) | 12.3204 | − | 220.830i | 0.00937247 | − | 0.167991i | ||||
\(121\) | −82.7327 | − | 575.418i | −0.0621583 | − | 0.432320i | ||||
\(122\) | −294.690 | + | 160.913i | −0.218689 | + | 0.119413i | ||||
\(123\) | 194.856 | − | 895.739i | 0.142842 | − | 0.656635i | ||||
\(124\) | 772.816 | − | 352.933i | 0.559685 | − | 0.255600i | ||||
\(125\) | −1378.05 | − | 232.583i | −0.986054 | − | 0.166423i | ||||
\(126\) | −798.927 | − | 692.275i | −0.564874 | − | 0.489466i | ||||
\(127\) | 1413.50 | − | 101.096i | 0.987623 | − | 0.0706362i | 0.431828 | − | 0.901956i | \(-0.357869\pi\) |
0.555795 | + | 0.831320i | \(0.312414\pi\) | |||||||
\(128\) | 383.382 | − | 702.112i | 0.264738 | − | 0.484832i | ||||
\(129\) | 25.8700 | + | 56.6474i | 0.0176568 | + | 0.0386630i | ||||
\(130\) | 375.271 | + | 271.857i | 0.253181 | + | 0.183411i | ||||
\(131\) | 970.708 | + | 285.025i | 0.647413 | + | 0.190098i | 0.588921 | − | 0.808190i | \(-0.299553\pi\) |
0.0584916 | + | 0.998288i | \(0.481371\pi\) | |||||||
\(132\) | 648.606 | + | 485.540i | 0.427681 | + | 0.320158i | ||||
\(133\) | 601.290 | + | 1612.12i | 0.392018 | + | 1.05104i | ||||
\(134\) | −352.094 | + | 2448.87i | −0.226987 | + | 1.57873i | ||||
\(135\) | 1283.00 | − | 853.223i | 0.817946 | − | 0.543954i | ||||
\(136\) | 145.276 | − | 125.882i | 0.0915977 | − | 0.0793699i | ||||
\(137\) | −1859.81 | + | 1859.81i | −1.15981 | + | 1.15981i | −0.175299 | + | 0.984515i | \(0.556089\pi\) |
−0.984515 | + | 0.175299i | \(0.943911\pi\) | |||||||
\(138\) | −244.041 | − | 1414.15i | −0.150537 | − | 0.872321i | ||||
\(139\) | − | 356.879i | − | 0.217770i | −0.994054 | − | 0.108885i | \(-0.965272\pi\) | ||
0.994054 | − | 0.108885i | \(-0.0347281\pi\) | |||||||
\(140\) | −1480.55 | + | 460.043i | −0.893783 | + | 0.277719i | ||||
\(141\) | −303.752 | − | 195.210i | −0.181422 | − | 0.116593i | ||||
\(142\) | 1484.84 | − | 1111.54i | 0.877500 | − | 0.656888i | ||||
\(143\) | −254.022 | + | 94.7454i | −0.148548 | + | 0.0554057i | ||||
\(144\) | 849.967 | − | 122.207i | 0.491879 | − | 0.0707216i | ||||
\(145\) | −2833.54 | + | 247.330i | −1.62285 | + | 0.141653i | ||||
\(146\) | 347.503 | − | 223.326i | 0.196983 | − | 0.126593i | ||||
\(147\) | −142.128 | + | 381.060i | −0.0797452 | + | 0.213805i | ||||
\(148\) | 2677.30 | + | 1461.92i | 1.48698 | + | 0.811951i | ||||
\(149\) | 766.483 | − | 884.568i | 0.421427 | − | 0.486353i | −0.504844 | − | 0.863211i | \(-0.668450\pi\) |
0.926271 | + | 0.376857i | \(0.122995\pi\) | |||||||
\(150\) | −50.9459 | − | 1625.44i | −0.0277314 | − | 0.884780i | ||||
\(151\) | 2719.26 | − | 798.446i | 1.46550 | − | 0.430309i | 0.550865 | − | 0.834594i | \(-0.314298\pi\) |
0.914633 | + | 0.404286i | \(0.132480\pi\) | |||||||
\(152\) | 704.456 | + | 262.748i | 0.375914 | + | 0.140209i | ||||
\(153\) | 511.720 | + | 111.318i | 0.270393 | + | 0.0588204i | ||||
\(154\) | 470.289 | − | 1601.66i | 0.246084 | − | 0.838087i | ||||
\(155\) | 868.068 | − | 491.809i | 0.449838 | − | 0.254858i | ||||
\(156\) | −121.722 | + | 266.533i | −0.0624714 | + | 0.136793i | ||||
\(157\) | −449.691 | − | 600.717i | −0.228594 | − | 0.305366i | 0.671549 | − | 0.740960i | \(-0.265629\pi\) |
−0.900143 | + | 0.435594i | \(0.856538\pi\) | |||||||
\(158\) | 700.385 | + | 3219.62i | 0.352656 | + | 1.62113i | ||||
\(159\) | −507.144 | − | 585.275i | −0.252950 | − | 0.291920i | ||||
\(160\) | 1157.97 | − | 2644.46i | 0.572159 | − | 1.30665i | ||||
\(161\) | −1387.91 | + | 809.268i | −0.679397 | + | 0.396144i | ||||
\(162\) | −117.859 | − | 117.859i | −0.0571596 | − | 0.0571596i | ||||
\(163\) | −2532.79 | − | 181.148i | −1.21707 | − | 0.0870468i | −0.552013 | − | 0.833836i | \(-0.686140\pi\) |
−0.665061 | + | 0.746789i | \(0.731595\pi\) | |||||||
\(164\) | −1518.07 | + | 2362.16i | −0.722812 | + | 1.12472i | ||||
\(165\) | 808.378 | + | 501.795i | 0.381407 | + | 0.236756i | ||||
\(166\) | 2204.75 | + | 1006.88i | 1.03086 | + | 0.470776i | ||||
\(167\) | 2143.81 | − | 2863.80i | 0.993373 | − | 1.32699i | 0.0487572 | − | 0.998811i | \(-0.484474\pi\) |
0.944615 | − | 0.328180i | \(-0.106435\pi\) | |||||||
\(168\) | −138.089 | − | 252.892i | −0.0634157 | − | 0.116137i | ||||
\(169\) | 1134.78 | + | 1765.75i | 0.516513 | + | 0.803709i | ||||
\(170\) | 983.650 | − | 1014.96i | 0.443779 | − | 0.457907i | ||||
\(171\) | 577.075 | + | 1965.34i | 0.258070 | + | 0.878907i | ||||
\(172\) | −13.6083 | − | 190.269i | −0.00603268 | − | 0.0843479i | ||||
\(173\) | 107.698 | + | 1505.82i | 0.0473302 | + | 0.661763i | 0.964637 | + | 0.263582i | \(0.0849040\pi\) |
−0.917307 | + | 0.398181i | \(0.869642\pi\) | |||||||
\(174\) | −932.470 | − | 3175.70i | −0.406267 | − | 1.38362i | ||||
\(175\) | −1685.10 | + | 689.387i | −0.727897 | + | 0.297787i | ||||
\(176\) | 733.083 | + | 1140.70i | 0.313967 | + | 0.488542i | ||||
\(177\) | −852.950 | − | 1562.06i | −0.362213 | − | 0.663343i | ||||
\(178\) | 3700.59 | − | 4943.41i | 1.55826 | − | 2.08160i | ||||
\(179\) | −1231.19 | − | 562.266i | −0.514098 | − | 0.234781i | 0.141434 | − | 0.989948i | \(-0.454829\pi\) |
−0.655533 | + | 0.755167i | \(0.727556\pi\) | |||||||
\(180\) | −1797.12 | + | 420.528i | −0.744162 | + | 0.174135i | ||||
\(181\) | 10.4656 | − | 16.2848i | 0.00429779 | − | 0.00668750i | −0.839098 | − | 0.543980i | \(-0.816917\pi\) |
0.843396 | + | 0.537293i | \(0.180553\pi\) | |||||||
\(182\) | 602.156 | + | 43.0670i | 0.245246 | + | 0.0175403i | ||||
\(183\) | −176.296 | − | 176.296i | −0.0712141 | − | 0.0712141i | ||||
\(184\) | −129.907 | + | 689.928i | −0.0520481 | + | 0.276425i | ||||
\(185\) | 3281.42 | + | 1436.88i | 1.30408 | + | 0.571037i | ||||
\(186\) | 760.278 | + | 877.408i | 0.299711 | + | 0.345885i | ||||
\(187\) | 175.778 | + | 808.037i | 0.0687387 | + | 0.315987i | ||||
\(188\) | 662.798 | + | 885.395i | 0.257125 | + | 0.343479i | ||||
\(189\) | 833.863 | − | 1825.90i | 0.320924 | − | 0.702725i | ||||
\(190\) | 5328.09 | + | 1474.21i | 2.03442 | + | 0.562896i | ||||
\(191\) | 977.189 | − | 3328.00i | 0.370193 | − | 1.26076i | −0.538261 | − | 0.842778i | \(-0.680918\pi\) |
0.908454 | − | 0.417985i | \(-0.137263\pi\) | |||||||
\(192\) | 2079.27 | + | 452.317i | 0.781553 | + | 0.170016i | ||||
\(193\) | −1462.36 | − | 545.434i | −0.545406 | − | 0.203426i | 0.0616318 | − | 0.998099i | \(-0.480370\pi\) |
−0.607038 | + | 0.794673i | \(0.707642\pi\) | |||||||
\(194\) | −634.261 | + | 186.236i | −0.234728 | + | 0.0689225i | ||||
\(195\) | −115.184 | + | 324.244i | −0.0422998 | + | 0.119075i | ||||
\(196\) | 815.807 | − | 941.492i | 0.297306 | − | 0.343109i | ||||
\(197\) | −2918.15 | − | 1593.43i | −1.05538 | − | 0.576280i | −0.144733 | − | 0.989471i | \(-0.546232\pi\) |
−0.910644 | + | 0.413191i | \(0.864414\pi\) | |||||||
\(198\) | 694.456 | − | 1861.91i | 0.249257 | − | 0.668283i | ||||
\(199\) | −2626.24 | + | 1687.78i | −0.935524 | + | 0.601225i | −0.917122 | − | 0.398606i | \(-0.869494\pi\) |
−0.0184020 | + | 0.999831i | \(0.505858\pi\) | |||||||
\(200\) | −254.540 | + | 753.768i | −0.0899936 | + | 0.266497i | ||||
\(201\) | −1818.41 | + | 261.448i | −0.638114 | + | 0.0917470i | ||||
\(202\) | 3410.61 | − | 1272.09i | 1.18797 | − | 0.443090i | ||||
\(203\) | −2966.38 | + | 2220.61i | −1.02561 | + | 0.767763i | ||||
\(204\) | 751.846 | + | 483.182i | 0.258038 | + | 0.165831i | ||||
\(205\) | −1534.76 | + | 2918.48i | −0.522888 | + | 0.994320i | ||||
\(206\) | − | 3835.08i | − | 1.29710i | ||||||
\(207\) | −1716.77 | + | 843.074i | −0.576444 | + | 0.283081i | ||||
\(208\) | −346.751 | + | 346.751i | −0.115591 | + | 0.115591i | ||||
\(209\) | −2444.40 | + | 2118.08i | −0.809007 | + | 0.701009i | ||||
\(210\) | −1173.19 | − | 1764.13i | −0.385513 | − | 0.579697i | ||||
\(211\) | 360.184 | − | 2505.14i | 0.117517 | − | 0.817350i | −0.842758 | − | 0.538293i | \(-0.819069\pi\) |
0.960275 | − | 0.279056i | \(-0.0900216\pi\) | |||||||
\(212\) | 828.983 | + | 2222.59i | 0.268560 | + | 0.720038i | ||||
\(213\) | 1102.57 | + | 825.375i | 0.354681 | + | 0.265511i | ||||
\(214\) | −3904.41 | − | 1146.44i | −1.24720 | − | 0.366210i | ||||
\(215\) | −35.3496 | − | 221.203i | −0.0112131 | − | 0.0701672i | ||||
\(216\) | −364.377 | − | 797.874i | −0.114781 | − | 0.251335i | ||||
\(217\) | 622.917 | − | 1140.79i | 0.194868 | − | 0.356874i | ||||
\(218\) | −6788.03 | + | 485.489i | −2.10891 | + | 0.150832i | ||||
\(219\) | 231.812 | + | 200.867i | 0.0715271 | + | 0.0619786i | ||||
\(220\) | −1782.88 | − | 2305.46i | −0.546371 | − | 0.706518i | ||||
\(221\) | −272.036 | + | 124.235i | −0.0828013 | + | 0.0378141i | ||||
\(222\) | −886.067 | + | 4073.18i | −0.267878 | + | 1.23142i | ||||
\(223\) | −235.985 | + | 128.858i | −0.0708643 | + | 0.0386948i | −0.514290 | − | 0.857616i | \(-0.671945\pi\) |
0.443426 | + | 0.896311i | \(0.353763\pi\) | |||||||
\(224\) | −535.236 | − | 3722.64i | −0.159651 | − | 1.11040i | ||||
\(225\) | −2059.48 | + | 675.485i | −0.610217 | + | 0.200144i | ||||
\(226\) | 1402.74 | + | 201.683i | 0.412871 | + | 0.0593618i | ||||
\(227\) | −1303.77 | + | 283.617i | −0.381207 | + | 0.0829264i | −0.399086 | − | 0.916914i | \(-0.630672\pi\) |
0.0178788 | + | 0.999840i | \(0.494309\pi\) | |||||||
\(228\) | −249.375 | + | 3486.71i | −0.0724353 | + | 1.01278i | ||||
\(229\) | −2762.35 | −0.797123 | −0.398561 | − | 0.917142i | \(-0.630490\pi\) | ||||
−0.398561 | + | 0.917142i | \(0.630490\pi\) | |||||||
\(230\) | −510.439 | + | 5136.73i | −0.146336 | + | 1.47264i | ||||
\(231\) | 1239.53 | 0.353051 | ||||||||
\(232\) | −115.512 | + | 1615.07i | −0.0326886 | + | 0.457046i | ||||
\(233\) | −5703.94 | + | 1240.82i | −1.60377 | + | 0.348878i | −0.923354 | − | 0.383950i | \(-0.874564\pi\) |
−0.680414 | + | 0.732828i | \(0.738200\pi\) | |||||||
\(234\) | 711.357 | + | 102.278i | 0.198730 | + | 0.0285731i | ||||
\(235\) | 865.812 | + | 968.131i | 0.240338 | + | 0.268740i | ||||
\(236\) | 775.843 | + | 5396.11i | 0.213996 | + | 1.48838i | ||||
\(237\) | −2147.37 | + | 1172.55i | −0.588552 | + | 0.321374i | ||||
\(238\) | 391.404 | − | 1799.25i | 0.106601 | − | 0.490035i | ||||
\(239\) | 5335.59 | − | 2436.68i | 1.44406 | − | 0.659481i | 0.469364 | − | 0.883005i | \(-0.344483\pi\) |
0.974699 | + | 0.223524i | \(0.0717560\pi\) | |||||||
\(240\) | 1707.06 | + | 218.201i | 0.459125 | + | 0.0586867i | ||||
\(241\) | −2046.39 | − | 1773.21i | −0.546969 | − | 0.473951i | 0.336995 | − | 0.941506i | \(-0.390589\pi\) |
−0.883964 | + | 0.467555i | \(0.845135\pi\) | |||||||
\(242\) | −2427.13 | + | 173.592i | −0.644718 | + | 0.0461112i | ||||
\(243\) | 1842.58 | − | 3374.44i | 0.486427 | − | 0.890824i | ||||
\(244\) | 317.250 | + | 694.680i | 0.0832370 | + | 0.182264i | ||||
\(245\) | 858.262 | − | 1184.75i | 0.223806 | − | 0.308942i | ||||
\(246\) | −3681.61 | − | 1081.02i | −0.954190 | − | 0.280175i | ||||
\(247\) | −936.410 | − | 700.988i | −0.241224 | − | 0.180578i | ||||
\(248\) | −198.485 | − | 532.159i | −0.0508218 | − | 0.136259i | ||||
\(249\) | −256.137 | + | 1781.47i | −0.0651888 | + | 0.453398i | ||||
\(250\) | −1382.55 | + | 5684.05i | −0.349761 | + | 1.43796i | ||||
\(251\) | 3568.02 | − | 3091.70i | 0.897256 | − | 0.777477i | −0.0783682 | − | 0.996924i | \(-0.524971\pi\) |
0.975624 | + | 0.219448i | \(0.0704255\pi\) | |||||||
\(252\) | −1700.21 | + | 1700.21i | −0.425013 | + | 0.425013i | ||||
\(253\) | −2337.10 | − | 1912.88i | −0.580761 | − | 0.475343i | ||||
\(254\) | − | 5931.69i | − | 1.46531i | ||||||
\(255\) | 928.916 | + | 488.494i | 0.228122 | + | 0.119963i | ||||
\(256\) | 1790.60 | + | 1150.75i | 0.437159 | + | 0.280945i | ||||
\(257\) | −6277.13 | + | 4699.00i | −1.52357 | + | 1.14053i | −0.577575 | + | 0.816337i | \(0.696001\pi\) |
−0.945992 | + | 0.324191i | \(0.894908\pi\) | |||||||
\(258\) | 244.233 | − | 91.0942i | 0.0589352 | − | 0.0219817i | ||||
\(259\) | 4619.30 | − | 664.155i | 1.10822 | − | 0.159338i | ||||
\(260\) | 677.658 | − | 807.273i | 0.161641 | − | 0.192558i | ||||
\(261\) | −3710.94 | + | 2384.88i | −0.880082 | + | 0.565595i | ||||
\(262\) | 1479.87 | − | 3967.68i | 0.348957 | − | 0.935589i | ||||
\(263\) | 3061.44 | + | 1671.67i | 0.717781 | + | 0.391938i | 0.796241 | − | 0.604979i | \(-0.206819\pi\) |
−0.0784604 | + | 0.996917i | \(0.525000\pi\) | |||||||
\(264\) | 354.700 | − | 409.345i | 0.0826904 | − | 0.0954298i | ||||
\(265\) | 1196.78 | + | 2515.53i | 0.277425 | + | 0.583124i | ||||
\(266\) | 6910.30 | − | 2029.05i | 1.59285 | − | 0.467703i | ||||
\(267\) | 4296.22 | + | 1602.41i | 0.984736 | + | 0.367288i | ||||
\(268\) | 5498.66 | + | 1196.16i | 1.25330 | + | 0.272638i | ||||
\(269\) | 1518.54 | − | 5171.67i | 0.344189 | − | 1.17220i | −0.587585 | − | 0.809163i | \(-0.699921\pi\) |
0.931774 | − | 0.363039i | \(-0.118261\pi\) | |||||||
\(270\) | −3179.17 | − | 5611.40i | −0.716586 | − | 1.26481i | ||||
\(271\) | −143.520 | + | 314.265i | −0.0321706 | + | 0.0704438i | −0.925035 | − | 0.379882i | \(-0.875965\pi\) |
0.892865 | + | 0.450325i | \(0.148692\pi\) | |||||||
\(272\) | 896.348 | + | 1197.38i | 0.199813 | + | 0.266919i | ||||
\(273\) | 95.2877 | + | 438.030i | 0.0211248 | + | 0.0971092i | ||||
\(274\) | 7209.53 | + | 8320.25i | 1.58958 | + | 1.83447i | ||||
\(275\) | −2321.19 | − | 2515.07i | −0.508993 | − | 0.551507i | ||||
\(276\) | −3247.90 | + | 324.198i | −0.708336 | + | 0.0707044i | ||||
\(277\) | 5265.94 | + | 5265.94i | 1.14224 | + | 1.14224i | 0.988040 | + | 0.154198i | \(0.0492793\pi\) |
0.154198 | + | 0.988040i | \(0.450721\pi\) | |||||||
\(278\) | −1490.00 | − | 106.567i | −0.321454 | − | 0.0229909i | ||||
\(279\) | 836.549 | − | 1301.70i | 0.179509 | − | 0.279321i | ||||
\(280\) | 236.154 | + | 1009.20i | 0.0504033 | + | 0.215397i | ||||
\(281\) | −3777.67 | − | 1725.21i | −0.801983 | − | 0.366253i | −0.0281184 | − | 0.999605i | \(-0.508952\pi\) |
−0.773864 | + | 0.633351i | \(0.781679\pi\) | |||||||
\(282\) | −905.721 | + | 1209.90i | −0.191258 | + | 0.255491i | ||||
\(283\) | 2981.12 | + | 5459.51i | 0.626180 | + | 1.14676i | 0.977585 | + | 0.210540i | \(0.0675223\pi\) |
−0.351405 | + | 0.936224i | \(0.614296\pi\) | |||||||
\(284\) | −2280.83 | − | 3549.04i | −0.476558 | − | 0.741539i | ||||
\(285\) | 64.3078 | + | 4104.53i | 0.0133658 | + | 0.853093i | ||||
\(286\) | 319.718 | + | 1088.86i | 0.0661024 | + | 0.225124i | ||||
\(287\) | 306.457 | + | 4284.82i | 0.0630298 | + | 0.881272i | ||||
\(288\) | −319.401 | − | 4465.81i | −0.0653504 | − | 0.913718i | ||||
\(289\) | −1127.16 | − | 3838.77i | −0.229425 | − | 0.781349i | ||||
\(290\) | 186.508 | + | 11904.1i | 0.0377660 | + | 2.41047i | ||||
\(291\) | −265.377 | − | 412.934i | −0.0534593 | − | 0.0831843i | ||||
\(292\) | −450.278 | − | 824.623i | −0.0902416 | − | 0.165265i | ||||
\(293\) | 4370.28 | − | 5838.01i | 0.871381 | − | 1.16403i | −0.113969 | − | 0.993484i | \(-0.536357\pi\) |
0.985350 | − | 0.170544i | \(-0.0545525\pi\) | |||||||
\(294\) | 1548.52 | + | 707.186i | 0.307182 | + | 0.140286i | ||||
\(295\) | 1458.68 | + | 6233.61i | 0.287890 | + | 1.23029i | ||||
\(296\) | 1102.52 | − | 1715.55i | 0.216495 | − | 0.336872i | ||||
\(297\) | 3763.72 | + | 269.186i | 0.735330 | + | 0.0525918i | ||||
\(298\) | −3464.27 | − | 3464.27i | −0.673423 | − | 0.673423i | ||||
\(299\) | 496.321 | − | 972.949i | 0.0959966 | − | 0.188184i | ||||
\(300\) | −3695.94 | − | 148.166i | −0.711285 | − | 0.0285146i | ||||
\(301\) | −191.109 | − | 220.552i | −0.0365959 | − | 0.0422339i | ||||
\(302\) | −2521.59 | − | 11591.6i | −0.480468 | − | 2.20868i | ||||
\(303\) | 1619.84 | + | 2163.85i | 0.307120 | + | 0.410264i | ||||
\(304\) | −2430.26 | + | 5321.53i | −0.458504 | + | 1.00398i | ||||
\(305\) | 442.084 | + | 780.301i | 0.0829956 | + | 0.146492i | ||||
\(306\) | 617.566 | − | 2103.24i | 0.115372 | − | 0.392922i | ||||
\(307\) | 868.697 | + | 188.973i | 0.161496 | + | 0.0351312i | 0.292586 | − | 0.956239i | \(-0.405484\pi\) |
−0.131090 | + | 0.991370i | \(0.541848\pi\) | |||||||
\(308\) | −3557.40 | − | 1326.84i | −0.658123 | − | 0.245467i | ||||
\(309\) | 2732.40 | − | 802.304i | 0.503044 | − | 0.147707i | ||||
\(310\) | −1794.14 | − | 3771.12i | −0.328710 | − | 0.690921i | ||||
\(311\) | 4083.73 | − | 4712.87i | 0.744588 | − | 0.859301i | −0.249444 | − | 0.968389i | \(-0.580248\pi\) |
0.994032 | + | 0.109089i | \(0.0347932\pi\) | |||||||
\(312\) | 171.924 | + | 93.8776i | 0.0311964 | + | 0.0170345i | ||||
\(313\) | −1010.22 | + | 2708.50i | −0.182431 | + | 0.489117i | −0.995686 | − | 0.0927914i | \(-0.970421\pi\) |
0.813254 | + | 0.581908i | \(0.197694\pi\) | |||||||
\(314\) | −2642.33 | + | 1698.12i | −0.474890 | + | 0.305193i | ||||
\(315\) | −1815.44 | + | 2162.68i | −0.324725 | + | 0.386835i | ||||
\(316\) | 7418.05 | − | 1066.55i | 1.32056 | − | 0.189868i | ||||
\(317\) | −562.367 | + | 209.752i | −0.0996393 | + | 0.0371635i | −0.398789 | − | 0.917043i | \(-0.630570\pi\) |
0.299150 | + | 0.954206i | \(0.403297\pi\) | |||||||
\(318\) | −2595.02 | + | 1942.60i | −0.457614 | + | 0.342566i | ||||
\(319\) | −5859.80 | − | 3765.86i | −1.02848 | − | 0.660965i | ||||
\(320\) | −6774.64 | − | 3562.61i | −1.18348 | − | 0.622363i | ||||
\(321\) | − | 3021.63i | − | 0.525392i | ||||||
\(322\) | 2964.33 | + | 6036.32i | 0.513029 | + | 1.04469i | ||||
\(323\) | −2522.80 | + | 2522.80i | −0.434590 | + | 0.434590i | ||||
\(324\) | −286.512 | + | 248.264i | −0.0491276 | + | 0.0425693i | ||||
\(325\) | 710.349 | − | 1013.62i | 0.121240 | − | 0.173001i | ||||
\(326\) | −1512.62 | + | 10520.5i | −0.256983 | + | 1.78735i | ||||
\(327\) | −1765.96 | − | 4734.73i | −0.298648 | − | 0.800707i | ||||
\(328\) | 1502.73 | + | 1124.93i | 0.252971 | + | 0.189371i | ||||
\(329\) | 1623.50 | + | 476.704i | 0.272057 | + | 0.0798831i | ||||
\(330\) | 2336.43 | − | 3225.21i | 0.389746 | − | 0.538006i | ||||
\(331\) | −4285.47 | − | 9383.86i | −0.711633 | − | 1.55826i | −0.825271 | − | 0.564737i | \(-0.808978\pi\) |
0.113638 | − | 0.993522i | \(-0.463750\pi\) | |||||||
\(332\) | 2642.07 | − | 4838.58i | 0.436754 | − | 0.799855i | ||||
\(333\) | 5541.48 | − | 396.334i | 0.911925 | − | 0.0652222i | ||||
\(334\) | −11316.5 | − | 9805.77i | −1.85392 | − | 1.60643i | ||||
\(335\) | 6554.96 | + | 837.874i | 1.06906 | + | 0.136651i | ||||
\(336\) | 2039.38 | − | 931.355i | 0.331123 | − | 0.151219i | ||||
\(337\) | −780.475 | + | 3587.79i | −0.126158 | + | 0.579938i | 0.870052 | + | 0.492959i | \(0.164085\pi\) |
−0.996210 | + | 0.0869789i | \(0.972279\pi\) | |||||||
\(338\) | 7711.02 | − | 4210.54i | 1.24090 | − | 0.677583i | ||||
\(339\) | 149.761 | + | 1041.61i | 0.0239937 | + | 0.166880i | ||||
\(340\) | −2143.06 | − | 2396.31i | −0.341834 | − | 0.382230i | ||||
\(341\) | 2418.46 | + | 347.722i | 0.384067 | + | 0.0552205i | ||||
\(342\) | 8377.78 | − | 1822.47i | 1.32462 | − | 0.288152i | ||||
\(343\) | 492.369 | − | 6884.21i | 0.0775085 | − | 1.08371i | ||||
\(344\) | −127.523 | −0.0199872 | ||||||||
\(345\) | −3766.58 | + | 710.937i | −0.587784 | + | 0.110944i | ||||
\(346\) | 6319.08 | 0.981837 | ||||||||
\(347\) | −220.410 | + | 3081.73i | −0.0340986 | + | 0.476761i | 0.951499 | + | 0.307652i | \(0.0995434\pi\) |
−0.985597 | + | 0.169108i | \(0.945911\pi\) | |||||||
\(348\) | −7356.08 | + | 1600.22i | −1.13312 | + | 0.246496i | ||||
\(349\) | 9093.34 | + | 1307.42i | 1.39471 | + | 0.200530i | 0.798354 | − | 0.602188i | \(-0.205704\pi\) |
0.596360 | + | 0.802717i | \(0.296613\pi\) | |||||||
\(350\) | 2375.07 | + | 7241.32i | 0.362722 | + | 1.10590i | ||||
\(351\) | 194.207 | + | 1350.74i | 0.0295327 | + | 0.205404i | ||||
\(352\) | 6205.02 | − | 3388.20i | 0.939570 | − | 0.513044i | ||||
\(353\) | −273.461 | + | 1257.08i | −0.0412319 | + | 0.189540i | −0.993156 | − | 0.116793i | \(-0.962739\pi\) |
0.951924 | + | 0.306333i | \(0.0991022\pi\) | |||||||
\(354\) | −6776.45 | + | 3094.70i | −1.01741 | + | 0.464637i | ||||
\(355\) | −3030.73 | − | 3919.08i | −0.453111 | − | 0.585924i | ||||
\(356\) | −10614.7 | − | 9197.72i | −1.58028 | − | 1.36932i | ||||
\(357\) | 1363.81 | − | 97.5413i | 0.202185 | − | 0.0144606i | ||||
\(358\) | −2715.16 | + | 4972.44i | −0.400840 | + | 0.734083i | ||||
\(359\) | −1428.45 | − | 3127.87i | −0.210002 | − | 0.459840i | 0.775094 | − | 0.631846i | \(-0.217703\pi\) |
−0.985096 | + | 0.172006i | \(0.944975\pi\) | |||||||
\(360\) | 194.708 | + | 1218.40i | 0.0285056 | + | 0.178376i | ||||
\(361\) | −6808.28 | − | 1999.09i | −0.992606 | − | 0.291455i | ||||
\(362\) | −64.8653 | − | 48.5575i | −0.00941780 | − | 0.00705008i | ||||
\(363\) | −631.439 | − | 1692.95i | −0.0913001 | − | 0.244785i | ||||
\(364\) | 195.414 | − | 1359.13i | 0.0281387 | − | 0.195709i | ||||
\(365\) | −610.982 | − | 918.737i | −0.0876172 | − | 0.131750i | ||||
\(366\) | −788.696 | + | 683.409i | −0.112639 | + | 0.0976021i | ||||
\(367\) | 3975.64 | − | 3975.64i | 0.565468 | − | 0.565468i | −0.365388 | − | 0.930855i | \(-0.619064\pi\) |
0.930855 | + | 0.365388i | \(0.119064\pi\) | |||||||
\(368\) | −5282.52 | − | 1391.20i | −0.748289 | − | 0.197068i | ||||
\(369\) | 5113.93i | 0.721465i | ||||||||
\(370\) | 6978.98 | − | 13271.2i | 0.980595 | − | 1.86469i | ||||
\(371\) | 3053.01 | + | 1962.05i | 0.427236 | + | 0.274568i | ||||
\(372\) | 2113.95 | − | 1582.49i | 0.294633 | − | 0.220559i | ||||
\(373\) | −7182.88 | + | 2679.08i | −0.997092 | + | 0.371896i | −0.794432 | − | 0.607353i | \(-0.792231\pi\) |
−0.202660 | + | 0.979249i | \(0.564959\pi\) | |||||||
\(374\) | 3426.12 | − | 492.601i | 0.473691 | − | 0.0681064i | ||||
\(375\) | −4338.97 | + | 204.076i | −0.597503 | + | 0.0281025i | ||||
\(376\) | 622.006 | − | 399.739i | 0.0853126 | − | 0.0548271i | ||||
\(377\) | 880.333 | − | 2360.27i | 0.120264 | − | 0.322440i | ||||
\(378\) | −7374.32 | − | 4026.68i | −1.00342 | − | 0.547911i | ||||
\(379\) | −5125.41 | + | 5915.04i | −0.694656 | + | 0.801675i | −0.988020 | − | 0.154325i | \(-0.950680\pi\) |
0.293364 | + | 0.956001i | \(0.405225\pi\) | |||||||
\(380\) | 4209.11 | − | 11848.7i | 0.568217 | − | 1.59954i | ||||
\(381\) | 4226.18 | − | 1240.92i | 0.568278 | − | 0.166861i | ||||
\(382\) | −13602.9 | − | 5073.63i | −1.82195 | − | 0.679553i | ||||
\(383\) | 13806.9 | + | 3003.50i | 1.84203 | + | 0.400709i | 0.992023 | − | 0.126059i | \(-0.0402329\pi\) |
0.850009 | + | 0.526768i | \(0.176597\pi\) | |||||||
\(384\) | 700.502 | − | 2385.69i | 0.0930920 | − | 0.317042i | ||||
\(385\) | −4297.25 | − | 1188.99i | −0.568853 | − | 0.157394i | ||||
\(386\) | −2713.91 | + | 5942.64i | −0.357861 | + | 0.783607i | ||||
\(387\) | −208.197 | − | 278.119i | −0.0273469 | − | 0.0365312i | ||||
\(388\) | 319.600 | + | 1469.18i | 0.0418176 | + | 0.192233i | ||||
\(389\) | 2986.67 | + | 3446.81i | 0.389281 | + | 0.449255i | 0.916236 | − | 0.400639i | \(-0.131212\pi\) |
−0.526955 | + | 0.849893i | \(0.676666\pi\) | |||||||
\(390\) | 1319.35 | + | 577.724i | 0.171303 | + | 0.0750108i | ||||
\(391\) | −2721.96 | − | 1920.76i | −0.352060 | − | 0.248432i | ||||
\(392\) | −588.896 | − | 588.896i | −0.0758768 | − | 0.0758768i | ||||
\(393\) | 3136.46 | + | 224.324i | 0.402579 | + | 0.0287930i | ||||
\(394\) | −7524.10 | + | 11707.7i | −0.962078 | + | 1.49702i | ||||
\(395\) | 8569.38 | − | 2005.25i | 1.09157 | − | 0.255430i | ||||
\(396\) | −4111.46 | − | 1877.64i | −0.521739 | − | 0.238270i | ||||
\(397\) | 1954.87 | − | 2611.41i | 0.247134 | − | 0.330133i | −0.659771 | − | 0.751466i | \(-0.729347\pi\) |
0.906906 | + | 0.421334i | \(0.138438\pi\) | |||||||
\(398\) | 6262.43 | + | 11468.8i | 0.788712 | + | 1.44442i | ||||
\(399\) | 2891.29 | + | 4498.93i | 0.362771 | + | 0.564482i | ||||
\(400\) | −5708.81 | − | 2393.93i | −0.713601 | − | 0.299241i | ||||
\(401\) | 3412.54 | + | 11622.0i | 0.424973 | + | 1.44733i | 0.842518 | + | 0.538669i | \(0.181073\pi\) |
−0.417545 | + | 0.908656i | \(0.637109\pi\) | |||||||
\(402\) | 548.577 | + | 7670.11i | 0.0680611 | + | 0.951618i | ||||
\(403\) | 63.0374 | + | 881.378i | 0.00779185 | + | 0.108944i | ||||
\(404\) | −2332.61 | − | 7944.13i | −0.287256 | − | 0.978305i | ||||
\(405\) | −309.836 | + | 319.699i | −0.0380145 | + | 0.0392246i | ||||
\(406\) | 8385.44 | + | 13048.0i | 1.02503 | + | 1.59498i | ||||
\(407\) | 4204.30 | + | 7699.59i | 0.512037 | + | 0.937726i | ||||
\(408\) | 358.051 | − | 478.300i | 0.0434465 | − | 0.0580377i | ||||
\(409\) | −7747.55 | − | 3538.19i | −0.936655 | − | 0.427756i | −0.112201 | − | 0.993685i | \(-0.535790\pi\) |
−0.824454 | + | 0.565929i | \(0.808517\pi\) | |||||||
\(410\) | 11726.6 | + | 7279.23i | 1.41253 | + | 0.876819i | ||||
\(411\) | −4419.72 | + | 6877.22i | −0.530435 | + | 0.825372i | ||||
\(412\) | −8700.72 | − | 622.288i | −1.04042 | − | 0.0744124i | ||||
\(413\) | 5897.49 | + | 5897.49i | 0.702654 | + | 0.702654i | ||||
\(414\) | 3007.27 | + | 7419.43i | 0.357003 | + | 0.880785i | ||||
\(415\) | 2596.83 | − | 5930.40i | 0.307164 | − | 0.701474i | ||||
\(416\) | 1674.35 | + | 1932.30i | 0.197335 | + | 0.227737i | ||||
\(417\) | −235.784 | − | 1083.88i | −0.0276892 | − | 0.127285i | ||||
\(418\) | 8113.27 | + | 10838.1i | 0.949361 | + | 1.26820i | ||||
\(419\) | 4625.39 | − | 10128.2i | 0.539296 | − | 1.18089i | −0.422308 | − | 0.906452i | \(-0.638780\pi\) |
0.961604 | − | 0.274441i | \(-0.0884929\pi\) | |||||||
\(420\) | −4192.67 | + | 2375.38i | −0.487098 | + | 0.275968i | ||||
\(421\) | −2515.94 | + | 8568.52i | −0.291258 | + | 0.991934i | 0.675738 | + | 0.737142i | \(0.263825\pi\) |
−0.966996 | + | 0.254792i | \(0.917993\pi\) | |||||||
\(422\) | −10351.6 | − | 2251.86i | −1.19410 | − | 0.259760i | ||||
\(423\) | 1887.30 | + | 703.928i | 0.216936 | + | 0.0809129i | ||||
\(424\) | 1521.60 | − | 446.781i | 0.174281 | − | 0.0511736i | ||||
\(425\) | −2751.84 | − | 2584.58i | −0.314079 | − | 0.294989i | ||||
\(426\) | 3775.26 | − | 4356.88i | 0.429370 | − | 0.495520i | ||||
\(427\) | 1025.45 | + | 559.936i | 0.116217 | + | 0.0634595i | ||||
\(428\) | −3234.48 | + | 8671.98i | −0.365291 | + | 0.979383i | ||||
\(429\) | −708.898 | + | 455.581i | −0.0797807 | + | 0.0512720i | ||||
\(430\) | −934.100 | + | 81.5345i | −0.104759 | + | 0.00914406i | ||||
\(431\) | −2247.81 | + | 323.186i | −0.251214 | + | 0.0361191i | −0.266771 | − | 0.963760i | \(-0.585957\pi\) |
0.0155573 | + | 0.999879i | \(0.495048\pi\) | |||||||
\(432\) | 6394.68 | − | 2385.09i | 0.712185 | − | 0.265631i | ||||
\(433\) | 11328.4 | − | 8480.36i | 1.25730 | − | 0.941201i | 0.257611 | − | 0.966249i | \(-0.417065\pi\) |
0.999686 | + | 0.0250482i | \(0.00797393\pi\) | |||||||
\(434\) | −4576.88 | − | 2941.38i | −0.506215 | − | 0.325325i | ||||
\(435\) | −8442.38 | + | 2623.25i | −0.930531 | + | 0.289138i | ||||
\(436\) | 15478.9i | 1.70024i | ||||||||
\(437\) | 1491.44 | − | 12944.6i | 0.163262 | − | 1.41699i | ||||
\(438\) | 907.858 | − | 907.858i | 0.0990391 | − | 0.0990391i | ||||
\(439\) | −1694.82 | + | 1468.57i | −0.184259 | + | 0.159661i | −0.742106 | − | 0.670283i | \(-0.766173\pi\) |
0.557847 | + | 0.829944i | \(0.311627\pi\) | |||||||
\(440\) | −1622.35 | + | 1078.90i | −0.175778 | + | 0.116897i | ||||
\(441\) | 322.895 | − | 2245.78i | 0.0348661 | − | 0.242499i | ||||
\(442\) | 437.458 | + | 1172.87i | 0.0470764 | + | 0.126217i | ||||
\(443\) | −10912.6 | − | 8169.10i | −1.17037 | − | 0.876130i | −0.176246 | − | 0.984346i | \(-0.556395\pi\) |
−0.994127 | + | 0.108216i | \(0.965486\pi\) | |||||||
\(444\) | 9097.13 | + | 2671.16i | 0.972366 | + | 0.285513i | ||||
\(445\) | −13357.3 | − | 9676.38i | −1.42291 | − | 1.03080i | ||||
\(446\) | 467.525 | + | 1023.74i | 0.0496367 | + | 0.108689i | ||||
\(447\) | 1743.48 | − | 3192.94i | 0.184482 | − | 0.337854i | ||||
\(448\) | −9946.31 | + | 711.374i | −1.04893 | + | 0.0750207i | ||||
\(449\) | 1089.46 | + | 944.026i | 0.114510 | + | 0.0992234i | 0.710234 | − | 0.703966i | \(-0.248589\pi\) |
−0.595724 | + | 0.803189i | \(0.703135\pi\) | |||||||
\(450\) | 2205.23 | + | 8800.23i | 0.231013 | + | 0.921882i | ||||
\(451\) | −7345.46 | + | 3354.56i | −0.766928 | + | 0.350244i | ||||
\(452\) | 685.174 | − | 3149.69i | 0.0713006 | − | 0.327763i | ||||
\(453\) | 7731.18 | − | 4221.55i | 0.801860 | − | 0.437849i | ||||
\(454\) | 794.811 | + | 5528.03i | 0.0821637 | + | 0.571461i | ||||
\(455\) | 89.8235 | − | 1609.99i | 0.00925493 | − | 0.165885i | ||||
\(456\) | 2313.11 | + | 332.575i | 0.237546 | + | 0.0341540i | ||||
\(457\) | −3445.37 | + | 749.495i | −0.352665 | + | 0.0767175i | −0.385408 | − | 0.922746i | \(-0.625939\pi\) |
0.0327433 | + | 0.999464i | \(0.489576\pi\) | |||||||
\(458\) | −824.861 | + | 11533.1i | −0.0841555 | + | 1.17665i | ||||
\(459\) | 4162.26 | 0.423263 | ||||||||
\(460\) | 11571.0 | + | 1991.54i | 1.17282 | + | 0.201861i | ||||
\(461\) | −7636.04 | −0.771466 | −0.385733 | − | 0.922610i | \(-0.626051\pi\) | ||||
−0.385733 | + | 0.922610i | \(0.626051\pi\) | |||||||
\(462\) | 370.133 | − | 5175.14i | 0.0372730 | − | 0.521145i | ||||
\(463\) | 1725.35 | − | 375.328i | 0.173184 | − | 0.0376738i | −0.125137 | − | 0.992139i | \(-0.539937\pi\) |
0.298321 | + | 0.954466i | \(0.403573\pi\) | |||||||
\(464\) | −12470.7 | − | 1793.01i | −1.24771 | − | 0.179393i | ||||
\(465\) | 2311.49 | − | 2067.20i | 0.230522 | − | 0.206159i | ||||
\(466\) | 3477.28 | + | 24185.0i | 0.345669 | + | 2.40418i | ||||
\(467\) | −996.639 | + | 544.206i | −0.0987558 | + | 0.0539247i | −0.527868 | − | 0.849327i | \(-0.677008\pi\) |
0.429112 | + | 0.903251i | \(0.358827\pi\) | |||||||
\(468\) | 347.465 | − | 1597.27i | 0.0343196 | − | 0.157765i | ||||
\(469\) | 7831.06 | − | 3576.33i | 0.771013 | − | 0.352110i | ||||
\(470\) | 4300.57 | − | 3325.75i | 0.422065 | − | 0.326395i | ||||
\(471\) | −1762.65 | − | 1527.34i | −0.172439 | − | 0.149419i | ||||
\(472\) | 3635.22 | − | 259.996i | 0.354501 | − | 0.0253544i | ||||
\(473\) | 262.910 | − | 481.484i | 0.0255573 | − | 0.0468047i | ||||
\(474\) | 4254.30 | + | 9315.61i | 0.412250 | + | 0.902701i | ||||
\(475\) | 3714.24 | − | 14291.5i | 0.358781 | − | 1.38050i | ||||
\(476\) | −4018.49 | − | 1179.94i | −0.386948 | − | 0.113618i | ||||
\(477\) | 3458.59 | + | 2589.07i | 0.331987 | + | 0.248523i | ||||
\(478\) | −8580.13 | − | 23004.2i | −0.821017 | − | 2.20123i | ||||
\(479\) | 2531.07 | − | 17604.0i | 0.241435 | − | 1.67922i | −0.403499 | − | 0.914980i | \(-0.632206\pi\) |
0.644934 | − | 0.764238i | \(-0.276885\pi\) | |||||||
\(480\) | 1769.73 | − | 8796.60i | 0.168285 | − | 0.836475i | ||||
\(481\) | −2397.72 | + | 2077.64i | −0.227290 | + | 0.196948i | ||||
\(482\) | −8014.37 | + | 8014.37i | −0.757354 | + | 0.757354i | ||||
\(483\) | −3680.59 | + | 3374.81i | −0.346734 | + | 0.317928i | ||||
\(484\) | 5534.64i | 0.519782i | ||||||||
\(485\) | 523.923 | + | 1686.14i | 0.0490518 | + | 0.157863i | ||||
\(486\) | −13538.4 | − | 8700.59i | −1.26361 | − | 0.812071i | ||||
\(487\) | −14331.6 | + | 10728.5i | −1.33353 | + | 0.998267i | −0.335103 | + | 0.942182i | \(0.608771\pi\) |
−0.998426 | + | 0.0560856i | \(0.982138\pi\) | |||||||
\(488\) | 478.354 | − | 178.417i | 0.0443731 | − | 0.0165503i | ||||
\(489\) | −7812.04 | + | 1123.20i | −0.722439 | + | 0.103871i | ||||
\(490\) | −4690.14 | − | 3937.10i | −0.432406 | − | 0.362980i | ||||
\(491\) | 9476.78 | − | 6090.36i | 0.871041 | − | 0.559784i | −0.0270300 | − | 0.999635i | \(-0.508605\pi\) |
0.898071 | + | 0.439851i | \(0.144969\pi\) | |||||||
\(492\) | −3049.91 | + | 8177.12i | −0.279472 | + | 0.749295i | ||||
\(493\) | −6743.67 | − | 3682.32i | −0.616064 | − | 0.336396i | ||||
\(494\) | −3206.31 | + | 3700.28i | −0.292022 | + | 0.337011i | ||||
\(495\) | −5001.69 | − | 1776.79i | −0.454160 | − | 0.161335i | ||||
\(496\) | 4240.34 | − | 1245.08i | 0.383865 | − | 0.112713i | ||||
\(497\) | −6047.27 | − | 2255.51i | −0.545789 | − | 0.203569i | ||||
\(498\) | 7361.31 | + | 1601.36i | 0.662386 | + | 0.144093i | ||||
\(499\) | −3644.19 | + | 12411.0i | −0.326926 | + | 1.11341i | 0.618014 | + | 0.786167i | \(0.287937\pi\) |
−0.944941 | + | 0.327242i | \(0.893881\pi\) | |||||||
\(500\) | 12671.2 | + | 4058.93i | 1.13334 | + | 0.363042i | ||||
\(501\) | 4618.94 | − | 10114.1i | 0.411894 | − | 0.901923i | ||||
\(502\) | −11842.7 | − | 15820.0i | −1.05292 | − | 1.40654i | ||||
\(503\) | 1240.65 | + | 5703.20i | 0.109976 | + | 0.505553i | 0.998874 | + | 0.0474466i | \(0.0151084\pi\) |
−0.888898 | + | 0.458106i | \(0.848528\pi\) | |||||||
\(504\) | 1052.64 | + | 1214.82i | 0.0930327 | + | 0.107365i | ||||
\(505\) | −3540.11 | − | 9055.55i | −0.311946 | − | 0.797953i | ||||
\(506\) | −8684.33 | + | 9186.42i | −0.762976 | + | 0.807087i | ||||
\(507\) | 4613.06 | + | 4613.06i | 0.404089 | + | 0.404089i | ||||
\(508\) | −13457.3 | − | 962.488i | −1.17534 | − | 0.0840620i | ||||
\(509\) | −7873.55 | + | 12251.5i | −0.685637 | + | 1.06687i | 0.307684 | + | 0.951489i | \(0.400446\pi\) |
−0.993321 | + | 0.115383i | \(0.963190\pi\) | |||||||
\(510\) | 2316.89 | − | 3732.44i | 0.201164 | − | 0.324069i | ||||
\(511\) | −1307.51 | − | 597.118i | −0.113191 | − | 0.0516927i | ||||
\(512\) | 9174.39 | − | 12255.6i | 0.791904 | − | 1.05786i | ||||
\(513\) | 7802.13 | + | 14288.5i | 0.671486 | + | 1.22974i | ||||
\(514\) | 17744.4 | + | 27610.8i | 1.52270 | + | 2.36937i | ||||
\(515\) | −10242.4 | + | 160.473i | −0.876378 | + | 0.0137307i | ||||
\(516\) | −167.037 | − | 568.877i | −0.0142508 | − | 0.0485337i | ||||
\(517\) | 226.909 | + | 3172.61i | 0.0193026 | + | 0.269886i | ||||
\(518\) | −1393.55 | − | 19484.3i | −0.118203 | − | 1.65269i | ||||
\(519\) | 1321.96 | + | 4502.18i | 0.111807 | + | 0.380778i | ||||
\(520\) | −505.985 | − | 490.374i | −0.0426710 | − | 0.0413545i | ||||
\(521\) | −12132.4 | − | 18878.4i | −1.02021 | − | 1.58749i | −0.788819 | − | 0.614625i | \(-0.789307\pi\) |
−0.231396 | − | 0.972860i | \(-0.574329\pi\) | |||||||
\(522\) | 8848.96 | + | 16205.7i | 0.741970 | + | 1.35882i | ||||
\(523\) | 2749.31 | − | 3672.65i | 0.229864 | − | 0.307062i | −0.670749 | − | 0.741685i | \(-0.734027\pi\) |
0.900613 | + | 0.434622i | \(0.143118\pi\) | |||||||
\(524\) | −8761.43 | − | 4001.21i | −0.730429 | − | 0.333576i | ||||
\(525\) | −4662.39 | + | 3207.07i | −0.387588 | + | 0.266606i | ||||
\(526\) | 7893.55 | − | 12282.6i | 0.654326 | − | 1.01815i | ||||
\(527\) | 2688.30 | + | 192.271i | 0.222209 | + | 0.0158927i | ||||
\(528\) | 2980.10 | + | 2980.10i | 0.245629 | + | 0.245629i | ||||
\(529\) | 12147.8 | − | 683.139i | 0.998423 | − | 0.0561468i | ||||
\(530\) | 10859.9 | − | 4245.51i | 0.890048 | − | 0.347949i | ||||
\(531\) | 6501.97 | + | 7503.67i | 0.531377 | + | 0.613242i | ||||
\(532\) | −3482.06 | − | 16006.8i | −0.283771 | − | 1.30448i | ||||
\(533\) | −1750.13 | − | 2337.90i | −0.142226 | − | 0.189992i | ||||
\(534\) | 7973.09 | − | 17458.6i | 0.646122 | − | 1.41481i | ||||
\(535\) | −2898.44 | + | 10475.5i | −0.234225 | + | 0.846537i | ||||
\(536\) | 1059.86 | − | 3609.55i | 0.0854085 | − | 0.290875i | ||||
\(537\) | −4110.75 | − | 894.239i | −0.330339 | − | 0.0718609i | ||||
\(538\) | −21138.7 | − | 7884.34i | −1.69397 | − | 0.631818i | ||||
\(539\) | 3437.57 | − | 1009.36i | 0.274706 | − | 0.0806610i | ||||
\(540\) | −13246.6 | + | 6302.13i | −1.05563 | + | 0.502223i | ||||
\(541\) | −8472.63 | + | 9777.93i | −0.673321 | + | 0.777054i | −0.984892 | − | 0.173169i | \(-0.944599\pi\) |
0.311571 | + | 0.950223i | \(0.399145\pi\) | |||||||
\(542\) | 1269.23 | + | 693.052i | 0.100587 | + | 0.0549246i | ||||
\(543\) | 21.0261 | − | 56.3732i | 0.00166172 | − | 0.00445526i | ||||
\(544\) | 6560.53 | − | 4216.20i | 0.517059 | − | 0.332294i | ||||
\(545\) | 1580.64 | + | 18108.6i | 0.124233 | + | 1.42328i | ||||
\(546\) | 1857.27 | − | 267.035i | 0.145575 | − | 0.0209305i | ||||
\(547\) | 300.543 | − | 112.097i | 0.0234923 | − | 0.00876219i | −0.337691 | − | 0.941257i | \(-0.609646\pi\) |
0.361183 | + | 0.932495i | \(0.382373\pi\) | |||||||
\(548\) | 20046.1 | − | 15006.3i | 1.56264 | − | 1.16978i | ||||
\(549\) | 1170.09 | + | 751.969i | 0.0909619 | + | 0.0584577i | ||||
\(550\) | −11193.8 | + | 8940.16i | −0.867826 | + | 0.693109i | ||||
\(551\) | − | 30052.7i | − | 2.32357i | ||||||
\(552\) | 61.2826 | + | 2181.22i | 0.00472529 | + | 0.168186i | ||||
\(553\) | 8107.30 | − | 8107.30i | 0.623431 | − | 0.623431i | ||||
\(554\) | 23558.3 | − | 20413.3i | 1.80667 | − | 1.56549i | ||||
\(555\) | 10915.4 | + | 2196.00i | 0.834834 | + | 0.167955i | ||||
\(556\) | −483.541 | + | 3363.10i | −0.0368826 | + | 0.256524i | ||||
\(557\) | −4944.42 | − | 13256.5i | −0.376125 | − | 1.00843i | −0.977773 | − | 0.209669i | \(-0.932762\pi\) |
0.601647 | − | 0.798762i | \(-0.294511\pi\) | |||||||
\(558\) | −5184.90 | − | 3881.37i | −0.393359 | − | 0.294465i | ||||
\(559\) | 190.360 | + | 55.8948i | 0.0144032 | + | 0.00422916i | ||||
\(560\) | −7963.62 | + | 1272.63i | −0.600937 | + | 0.0960331i | ||||
\(561\) | 1067.71 | + | 2337.97i | 0.0803546 | + | 0.175952i | ||||
\(562\) | −8330.94 | + | 15257.0i | −0.625302 | + | 1.14515i | ||||
\(563\) | 19173.3 | − | 1371.30i | 1.43527 | − | 0.102653i | 0.668090 | − | 0.744081i | \(-0.267112\pi\) |
0.767183 | + | 0.641428i | \(0.221658\pi\) | |||||||
\(564\) | 2597.96 | + | 2251.15i | 0.193961 | + | 0.168068i | ||||
\(565\) | 479.943 | − | 3754.75i | 0.0357369 | − | 0.279582i | ||||
\(566\) | 23684.1 | − | 10816.2i | 1.75887 | − | 0.803248i | ||||
\(567\) | −123.287 | + | 566.739i | −0.00913148 | + | 0.0419768i | ||||
\(568\) | −2475.34 | + | 1351.64i | −0.182857 | + | 0.0998476i | ||||
\(569\) | 3078.59 | + | 21412.1i | 0.226821 | + | 1.57758i | 0.711374 | + | 0.702813i | \(0.248073\pi\) |
−0.484553 | + | 0.874762i | \(0.661018\pi\) | |||||||
\(570\) | 17156.0 | + | 957.157i | 1.26068 | + | 0.0703349i | ||||
\(571\) | −8016.58 | − | 1152.61i | −0.587537 | − | 0.0844750i | −0.157866 | − | 0.987461i | \(-0.550461\pi\) |
−0.429671 | + | 0.902986i | \(0.641370\pi\) | |||||||
\(572\) | 2522.19 | − | 548.669i | 0.184367 | − | 0.0401066i | ||||
\(573\) | 769.080 | − | 10753.1i | 0.0560711 | − | 0.783977i | ||||
\(574\) | 17981.0 | 1.30752 | ||||||||
\(575\) | 13740.1 | + | 1148.30i | 0.996526 | + | 0.0832824i | ||||
\(576\) | −11870.9 | −0.858717 | ||||||||
\(577\) | −166.572 | + | 2328.98i | −0.0120181 | + | 0.168036i | 0.987898 | + | 0.155103i | \(0.0495711\pi\) |
−0.999916 | + | 0.0129321i | \(0.995883\pi\) | |||||||
\(578\) | −16363.8 | + | 3559.72i | −1.17758 | + | 0.256168i | ||||
\(579\) | −4801.73 | − | 690.385i | −0.344651 | − | 0.0495534i | ||||
\(580\) | 27037.4 | + | 1508.45i | 1.93563 | + | 0.107992i | ||||
\(581\) | −1200.30 | − | 8348.29i | −0.0857091 | − | 0.596120i | ||||
\(582\) | −1803.28 | + | 984.666i | −0.128434 | + | 0.0701301i | ||||
\(583\) | −1450.13 | + | 6666.13i | −0.103016 | + | 0.473556i | ||||
\(584\) | −571.347 | + | 260.926i | −0.0404838 | + | 0.0184883i | ||||
\(585\) | 243.389 | − | 1904.11i | 0.0172015 | − | 0.134573i | ||||
\(586\) | −23069.2 | − | 19989.6i | −1.62625 | − | 1.40915i | ||||
\(587\) | 481.402 | − | 34.4306i | 0.0338494 | − | 0.00242096i | −0.0544042 | − | 0.998519i | \(-0.517326\pi\) |
0.0882536 | + | 0.996098i | \(0.471871\pi\) | |||||||
\(588\) | 1855.67 | − | 3398.41i | 0.130147 | − | 0.238347i | ||||
\(589\) | 4379.16 | + | 9589.02i | 0.306350 | + | 0.670812i | ||||
\(590\) | 26461.5 | − | 4228.70i | 1.84644 | − | 0.295073i | ||||
\(591\) | −9915.51 | − | 2911.46i | −0.690134 | − | 0.202642i | ||||
\(592\) | 12702.6 | + | 9509.06i | 0.881882 | + | 0.660169i | ||||
\(593\) | −5433.67 | − | 14568.2i | −0.376280 | − | 1.00885i | −0.977717 | − | 0.209926i | \(-0.932678\pi\) |
0.601437 | − | 0.798920i | \(-0.294595\pi\) | |||||||
\(594\) | 2247.76 | − | 15633.5i | 0.155264 | − | 1.07988i | ||||
\(595\) | −4821.68 | − | 970.041i | −0.332218 | − | 0.0668367i | ||||
\(596\) | −8421.58 | + | 7297.34i | −0.578794 | + | 0.501528i | ||||
\(597\) | −6861.11 | + | 6861.11i | −0.470363 | + | 0.470363i | ||||
\(598\) | −3913.95 | − | 2362.72i | −0.267648 | − | 0.161570i | ||||
\(599\) | − | 20465.0i | − | 1.39596i | −0.716119 | − | 0.697979i | \(-0.754083\pi\) | ||
0.716119 | − | 0.697979i | \(-0.245917\pi\) | |||||||
\(600\) | −275.065 | + | 2457.45i | −0.0187158 | + | 0.167208i | ||||
\(601\) | 18893.2 | + | 12141.9i | 1.28232 | + | 0.824094i | 0.991172 | − | 0.132585i | \(-0.0423279\pi\) |
0.291144 | + | 0.956679i | \(0.405964\pi\) | |||||||
\(602\) | −977.892 | + | 732.041i | −0.0662058 | + | 0.0495611i | ||||
\(603\) | 9602.52 | − | 3581.55i | 0.648499 | − | 0.241878i | ||||
\(604\) | −26707.2 | + | 3839.91i | −1.79917 | + | 0.258682i | ||||
\(605\) | 565.174 | + | 6474.91i | 0.0379795 | + | 0.435112i | ||||
\(606\) | 9517.97 | − | 6116.83i | 0.638022 | − | 0.410032i | ||||
\(607\) | −7534.45 | + | 20200.6i | −0.503812 | + | 1.35077i | 0.397500 | + | 0.917602i | \(0.369878\pi\) |
−0.901312 | + | 0.433170i | \(0.857395\pi\) | |||||||
\(608\) | 26771.3 | + | 14618.3i | 1.78573 | + | 0.975080i | ||||
\(609\) | −7542.12 | + | 8704.07i | −0.501843 | + | 0.579157i | ||||
\(610\) | 3389.84 | − | 1612.74i | 0.225001 | − | 0.107046i | ||||
\(611\) | −1103.71 | + | 324.078i | −0.0730790 | + | 0.0214579i | ||||
\(612\) | −4671.45 | − | 1742.36i | −0.308549 | − | 0.115083i | ||||
\(613\) | 11257.1 | + | 2448.82i | 0.741710 | + | 0.161349i | 0.567516 | − | 0.823362i | \(-0.307904\pi\) |
0.174194 | + | 0.984711i | \(0.444268\pi\) | |||||||
\(614\) | 1048.38 | − | 3570.46i | 0.0689076 | − | 0.234678i | ||||
\(615\) | −2733.04 | + | 9877.76i | −0.179198 | + | 0.647658i | ||||
\(616\) | −1054.42 | + | 2308.86i | −0.0689672 | + | 0.151017i | ||||
\(617\) | 6394.58 | + | 8542.16i | 0.417239 | + | 0.557365i | 0.959087 | − | 0.283111i | \(-0.0913663\pi\) |
−0.541849 | + | 0.840476i | \(0.682275\pi\) | |||||||
\(618\) | −2533.78 | − | 11647.6i | −0.164925 | − | 0.758147i | ||||
\(619\) | 13891.2 | + | 16031.3i | 0.901992 | + | 1.04095i | 0.998957 | + | 0.0456666i | \(0.0145412\pi\) |
−0.0969646 | + | 0.995288i | \(0.530913\pi\) | |||||||
\(620\) | −8846.74 | + | 3458.48i | −0.573054 | + | 0.224026i | ||||
\(621\) | −11908.7 | + | 9448.03i | −0.769532 | + | 0.610526i | ||||
\(622\) | −18457.2 | − | 18457.2i | −1.18982 | − | 1.18982i | ||||
\(623\) | −21432.9 | − | 1532.91i | −1.37832 | − | 0.0985793i | ||||
\(624\) | −824.030 | + | 1282.22i | −0.0528648 | + | 0.0822592i | ||||
\(625\) | 15238.3 | + | 3454.57i | 0.975253 | + | 0.221092i | ||||
\(626\) | 11006.6 | + | 5026.54i | 0.702734 | + | 0.320928i | ||||
\(627\) | −6024.53 | + | 8047.83i | −0.383727 | + | 0.512599i | ||||
\(628\) | 3423.81 | + | 6270.25i | 0.217556 | + | 0.398424i | ||||
\(629\) | 5231.73 | + | 8140.73i | 0.331642 | + | 0.516045i | ||||
\(630\) | 8487.26 | + | 8225.42i | 0.536731 | + | 0.520172i | ||||
\(631\) | 1817.63 | + | 6190.29i | 0.114673 | + | 0.390542i | 0.996749 | − | 0.0805657i | \(-0.0256727\pi\) |
−0.882076 | + | 0.471107i | \(0.843854\pi\) | |||||||
\(632\) | −357.417 | − | 4997.35i | −0.0224957 | − | 0.314531i | ||||
\(633\) | −561.183 | − | 7846.36i | −0.0352370 | − | 0.492677i | ||||
\(634\) | 707.806 | + | 2410.57i | 0.0443384 | + | 0.151003i | ||||
\(635\) | −15841.9 | + | 248.203i | −0.990024 | + | 0.0155112i | ||||
\(636\) | 3986.15 | + | 6202.57i | 0.248524 | + | 0.386710i | ||||
\(637\) | 620.954 | + | 1137.19i | 0.0386234 | + | 0.0707334i | ||||
\(638\) | −17472.6 | + | 23340.7i | −1.08424 | + | 1.44838i | ||||
\(639\) | −6989.12 | − | 3191.82i | −0.432684 | − | 0.197600i | ||||
\(640\) | −4716.96 | + | 7598.89i | −0.291335 | + | 0.469332i | ||||
\(641\) | 6162.78 | − | 9589.47i | 0.379743 | − | 0.590891i | −0.597796 | − | 0.801648i | \(-0.703957\pi\) |
0.977538 | + | 0.210757i | \(0.0675930\pi\) | |||||||
\(642\) | −12615.6 | − | 902.284i | −0.775541 | − | 0.0554678i | ||||
\(643\) | −1974.66 | − | 1974.66i | −0.121109 | − | 0.121109i | 0.643955 | − | 0.765063i | \(-0.277292\pi\) |
−0.765063 | + | 0.643955i | \(0.777292\pi\) | |||||||
\(644\) | 14175.7 | − | 5745.75i | 0.867393 | − | 0.351575i | ||||
\(645\) | −253.506 | − | 648.465i | −0.0154757 | − | 0.0395865i | ||||
\(646\) | 9779.60 | + | 11286.3i | 0.595624 | + | 0.687387i | ||||
\(647\) | 2671.75 | + | 12281.8i | 0.162345 | + | 0.746288i | 0.984267 | + | 0.176688i | \(0.0565383\pi\) |
−0.821922 | + | 0.569600i | \(0.807098\pi\) | |||||||
\(648\) | 151.883 | + | 202.891i | 0.00920758 | + | 0.0122999i | ||||
\(649\) | −6512.93 | + | 14261.3i | −0.393922 | + | 0.862568i | ||||
\(650\) | −4019.84 | − | 3268.45i | −0.242571 | − | 0.197229i | ||||
\(651\) | 1138.17 | − | 3876.25i | 0.0685229 | − | 0.233368i | ||||
\(652\) | 23622.6 | + | 5138.79i | 1.41892 | + | 0.308667i | ||||
\(653\) | −1278.61 | − | 476.895i | −0.0766244 | − | 0.0285794i | 0.310860 | − | 0.950456i | \(-0.399383\pi\) |
−0.387484 | + | 0.921876i | \(0.626656\pi\) | |||||||
\(654\) | −20295.3 | + | 5959.23i | −1.21347 | + | 0.356306i | ||||
\(655\) | −10658.5 | − | 3786.29i | −0.635819 | − | 0.225866i | ||||
\(656\) | −9564.88 | + | 11038.5i | −0.569277 | + | 0.656981i | ||||
\(657\) | −1501.85 | − | 820.075i | −0.0891825 | − | 0.0486973i | ||||
\(658\) | 2475.07 | − | 6635.93i | 0.146639 | − | 0.393154i | ||||
\(659\) | −5268.78 | + | 3386.04i | −0.311446 | + | 0.200154i | −0.687020 | − | 0.726638i | \(-0.741082\pi\) |
0.375575 | + | 0.926792i | \(0.377445\pi\) | |||||||
\(660\) | −6937.98 | − | 5824.03i | −0.409183 | − | 0.343485i | ||||
\(661\) | 9209.59 | − | 1324.14i | 0.541924 | − | 0.0779169i | 0.134083 | − | 0.990970i | \(-0.457191\pi\) |
0.407840 | + | 0.913053i | \(0.366282\pi\) | |||||||
\(662\) | −40458.2 | + | 15090.1i | −2.37530 | + | 0.885942i | ||||
\(663\) | −744.124 | + | 557.044i | −0.0435888 | + | 0.0326302i | ||||
\(664\) | −3100.45 | − | 1992.54i | −0.181206 | − | 0.116454i | ||||
\(665\) | −5708.16 | − | 18370.5i | −0.332862 | − | 1.07125i | ||||
\(666\) | − | 23254.5i | − | 1.35299i | ||||||
\(667\) | 27653.0 | − | 4772.10i | 1.60529 | − | 0.277026i | ||||
\(668\) | −24082.8 | + | 24082.8i | −1.39489 | + | 1.39489i | ||||
\(669\) | −631.580 | + | 547.267i | −0.0364997 | + | 0.0316272i | ||||
\(670\) | 5455.57 | − | 27117.4i | 0.314577 | − | 1.56363i | ||||
\(671\) | −312.565 | + | 2173.94i | −0.0179828 | + | 0.125073i | ||||
\(672\) | −4085.06 | − | 10952.5i | −0.234501 | − | 0.628722i | ||||
\(673\) | −22770.0 | − | 17045.4i | −1.30419 | − | 0.976304i | −0.999717 | − | 0.0237835i | \(-0.992429\pi\) |
−0.304473 | − | 0.952521i | \(-0.598480\pi\) | |||||||
\(674\) | 14746.3 | + | 4329.90i | 0.842738 | + | 0.247450i | ||||
\(675\) | −14853.4 | + | 8725.47i | −0.846976 | + | 0.497546i | ||||
\(676\) | −8301.31 | − | 18177.3i | −0.472310 | − | 1.03421i | ||||
\(677\) | 4329.87 | − | 7929.57i | 0.245806 | − | 0.450160i | −0.725424 | − | 0.688302i | \(-0.758357\pi\) |
0.971230 | + | 0.238142i | \(0.0765383\pi\) | |||||||
\(678\) | 4393.53 | − | 314.231i | 0.248868 | − | 0.0177994i | ||||
\(679\) | 1738.41 | + | 1506.34i | 0.0982531 | + | 0.0851368i | ||||
\(680\) | −1700.11 | + | 1314.74i | −0.0958768 | + | 0.0741442i | ||||
\(681\) | −3772.30 | + | 1722.75i | −0.212269 | + | 0.0969399i | ||||
\(682\) | 2173.94 | − | 9993.45i | 0.122059 | − | 0.561098i | ||||
\(683\) | 4827.13 | − | 2635.81i | 0.270432 | − | 0.147667i | −0.338312 | − | 0.941034i | \(-0.609856\pi\) |
0.608743 | + | 0.793367i | \(0.291674\pi\) | |||||||
\(684\) | −2775.29 | − | 19302.5i | −0.155140 | − | 1.07902i | ||||
\(685\) | 21919.3 | − | 19602.8i | 1.22262 | − | 1.09341i | ||||
\(686\) | −28595.2 | − | 4111.37i | −1.59150 | − | 0.228823i | ||||
\(687\) | −8389.57 | + | 1825.04i | −0.465913 | + | 0.101353i | ||||
\(688\) | 70.7866 | − | 989.727i | 0.00392255 | − | 0.0548444i | ||||
\(689\) | −2467.19 | −0.136419 | ||||||||
\(690\) | 1843.50 | + | 15938.1i | 0.101711 | + | 0.879352i | ||||
\(691\) | 28600.3 | 1.57454 | 0.787271 | − | 0.616607i | \(-0.211493\pi\) | ||||
0.787271 | + | 0.616607i | \(0.211493\pi\) | |||||||
\(692\) | 1025.35 | − | 14336.2i | 0.0563263 | − | 0.787544i | ||||
\(693\) | −6756.92 | + | 1469.88i | −0.370381 | + | 0.0805715i | ||||
\(694\) | 12800.7 | + | 1840.46i | 0.700155 | + | 0.100667i | ||||
\(695\) | −222.263 | + | 3983.83i | −0.0121308 | + | 0.217432i | ||||
\(696\) | 716.228 | + | 4981.48i | 0.0390065 | + | 0.271296i | ||||
\(697\) | −7817.97 | + | 4268.93i | −0.424859 | + | 0.231990i | ||||
\(698\) | 8173.97 | − | 37575.1i | 0.443251 | − | 2.03759i | ||||
\(699\) | −16503.8 | + | 7537.01i | −0.893032 | + | 0.407834i | ||||
\(700\) | 16813.9 | − | 4213.36i | 0.907866 | − | 0.227500i | ||||
\(701\) | 15670.9 | + | 13578.9i | 0.844337 | + | 0.731622i | 0.965330 | − | 0.261031i | \(-0.0840625\pi\) |
−0.120993 | + | 0.992653i | \(0.538608\pi\) | |||||||
\(702\) | 5697.44 | − | 407.489i | 0.306319 | − | 0.0219084i | ||||
\(703\) | −18139.3 | + | 33219.6i | −0.973167 | + | 1.78222i | ||||
\(704\) | −7786.90 | − | 17050.9i | −0.416875 | − | 0.912828i | ||||
\(705\) | 3269.20 | + | 2368.30i | 0.174646 | + | 0.126518i | ||||
\(706\) | 5166.76 | + | 1517.10i | 0.275430 | + | 0.0808736i | ||||
\(707\) | −10140.2 | − | 7590.86i | −0.539408 | − | 0.403796i | ||||
\(708\) | 5921.45 | + | 15876.0i | 0.314324 | + | 0.842736i | ||||
\(709\) | 4068.69 | − | 28298.3i | 0.215519 | − | 1.49897i | −0.538787 | − | 0.842442i | \(-0.681117\pi\) |
0.754306 | − | 0.656523i | \(-0.227974\pi\) | |||||||
\(710\) | −17267.5 | + | 11483.3i | −0.912729 | + | 0.606987i | ||||
\(711\) | 10315.3 | − | 8938.28i | 0.544100 | − | 0.471465i | ||||
\(712\) | −6639.43 | + | 6639.43i | −0.349471 | + | 0.349471i | ||||
\(713\) | −8127.97 | + | 5552.14i | −0.426921 | + | 0.291626i | ||||
\(714\) | − | 5723.14i | − | 0.299976i | ||||||
\(715\) | 2894.65 | − | 899.437i | 0.151404 | − | 0.0470448i | ||||
\(716\) | 10840.5 | + | 6966.77i | 0.565822 | + | 0.363632i | ||||
\(717\) | 14594.9 | − | 10925.6i | 0.760192 | − | 0.569073i | ||||
\(718\) | −13485.7 | + | 5029.90i | −0.700949 | + | 0.261441i | ||||
\(719\) | −11040.1 | + | 1587.33i | −0.572639 | + | 0.0823330i | −0.422550 | − | 0.906340i | \(-0.638865\pi\) |
−0.150089 | + | 0.988673i | \(0.547956\pi\) | |||||||
\(720\) | −9564.28 | + | 834.835i | −0.495055 | + | 0.0432117i | ||||
\(721\) | −11226.6 | + | 7214.90i | −0.579890 | + | 0.372672i | ||||
\(722\) | −10379.4 | + | 27828.3i | −0.535016 | + | 1.43443i | ||||
\(723\) | −7386.65 | − | 4033.42i | −0.379962 | − | 0.207475i | ||||
\(724\) | −120.689 | + | 139.282i | −0.00619524 | + | 0.00714969i | ||||
\(725\) | 31784.8 | − | 996.222i | 1.62822 | − | 0.0510328i | ||||
\(726\) | −7256.78 | + | 2130.78i | −0.370970 | + | 0.108927i | ||||
\(727\) | −14054.6 | − | 5242.09i | −0.716995 | − | 0.267425i | −0.0356259 | − | 0.999365i | \(-0.511342\pi\) |
−0.681369 | + | 0.731940i | \(0.738615\pi\) | |||||||
\(728\) | −896.974 | − | 195.125i | −0.0456649 | − | 0.00993380i | ||||
\(729\) | 3063.80 | − | 10434.3i | 0.155657 | − | 0.530119i | ||||
\(730\) | −4018.25 | + | 2276.57i | −0.203729 | + | 0.115424i | ||||
\(731\) | 251.381 | − | 550.448i | 0.0127191 | − | 0.0278510i | ||||
\(732\) | 1422.49 | + | 1900.22i | 0.0718260 | + | 0.0959483i | ||||
\(733\) | 1961.50 | + | 9016.86i | 0.0988398 | + | 0.454359i | 0.999791 | + | 0.0204389i | \(0.00650637\pi\) |
−0.900951 | + | 0.433920i | \(0.857130\pi\) | |||||||
\(734\) | −15411.5 | − | 17785.8i | −0.774999 | − | 0.894396i | ||||
\(735\) | 1823.90 | − | 4165.25i | 0.0915313 | − | 0.209031i | ||||
\(736\) | −9199.94 | + | 26954.9i | −0.460753 | + | 1.34996i | ||||
\(737\) | 11443.3 | + | 11443.3i | 0.571941 | + | 0.571941i | ||||
\(738\) | 21351.1 | + | 1527.06i | 1.06497 | + | 0.0761680i | ||||
\(739\) | 1108.75 | − | 1725.24i | 0.0551907 | − | 0.0858784i | −0.812562 | − | 0.582875i | \(-0.801928\pi\) |
0.867752 | + | 0.496997i | \(0.165564\pi\) | |||||||
\(740\) | −28976.2 | − | 17986.8i | −1.43944 | − | 0.893522i | ||||
\(741\) | −3307.12 | − | 1510.31i | −0.163954 | − | 0.0748753i | ||||
\(742\) | 9103.40 | − | 12160.7i | 0.450399 | − | 0.601663i | ||||
\(743\) | 8256.74 | + | 15121.1i | 0.407686 | + | 0.746621i | 0.998173 | − | 0.0604264i | \(-0.0192461\pi\) |
−0.590487 | + | 0.807047i | \(0.701064\pi\) | |||||||
\(744\) | −954.411 | − | 1485.09i | −0.0470301 | − | 0.0731803i | ||||
\(745\) | −9107.14 | + | 9397.05i | −0.447865 | + | 0.462123i | ||||
\(746\) | 9040.52 | + | 30789.2i | 0.443696 | + | 1.51109i | ||||
\(747\) | −716.280 | − | 10014.9i | −0.0350834 | − | 0.490530i | ||||
\(748\) | −561.645 | − | 7852.82i | −0.0274543 | − | 0.383861i | ||||
\(749\) | 3989.31 | + | 13586.3i | 0.194614 | + | 0.662795i | ||||
\(750\) | −443.616 | + | 18176.5i | −0.0215981 | + | 0.884951i | ||||
\(751\) | 15059.4 | + | 23432.9i | 0.731726 | + | 1.13859i | 0.985227 | + | 0.171253i | \(0.0547816\pi\) |
−0.253501 | + | 0.967335i | \(0.581582\pi\) | |||||||
\(752\) | 2757.16 | + | 5049.37i | 0.133701 | + | 0.244856i | ||||
\(753\) | 8793.84 | − | 11747.2i | 0.425585 | − | 0.568515i | ||||
\(754\) | −9591.45 | − | 4380.27i | −0.463263 | − | 0.211565i | ||||
\(755\) | −30852.3 | + | 7219.49i | −1.48719 | + | 0.348006i | ||||
\(756\) | −10332.0 | + | 16076.9i | −0.497051 | + | 0.773426i | ||||
\(757\) | 14984.1 | + | 1071.69i | 0.719429 | + | 0.0514546i | 0.426253 | − | 0.904604i | \(-0.359833\pi\) |
0.293176 | + | 0.956059i | \(0.405288\pi\) | |||||||
\(758\) | 23165.3 | + | 23165.3i | 1.11003 | + | 1.11003i | ||||
\(759\) | −8361.86 | − | 4265.55i | −0.399890 | − | 0.203992i | ||||
\(760\) | −7700.19 | − | 3371.79i | −0.367520 | − | 0.160931i | ||||
\(761\) | 10447.9 | + | 12057.5i | 0.497680 | + | 0.574353i | 0.947901 | − | 0.318564i | \(-0.103200\pi\) |
−0.450222 | + | 0.892917i | \(0.648655\pi\) | |||||||
\(762\) | −3918.98 | − | 18015.2i | −0.186312 | − | 0.856461i | ||||
\(763\) | 14191.4 | + | 18957.5i | 0.673348 | + | 0.899488i | ||||
\(764\) | −13717.9 | + | 30037.9i | −0.649600 | + | 1.42243i | ||||
\(765\) | −5642.99 | − | 1561.34i | −0.266697 | − | 0.0737912i | ||||
\(766\) | 16662.7 | − | 56748.1i | 0.785965 | − | 2.67675i | ||||
\(767\) | −5540.42 | − | 1205.25i | −0.260825 | − | 0.0567391i | ||||
\(768\) | 6198.56 | + | 2311.94i | 0.291239 | + | 0.108626i | ||||
\(769\) | −11598.3 | + | 3405.58i | −0.543884 | + | 0.159699i | −0.542122 | − | 0.840300i | \(-0.682379\pi\) |
−0.00176165 | + | 0.999998i | \(0.500561\pi\) | |||||||
\(770\) | −6247.34 | + | 17586.4i | −0.292388 | + | 0.823077i | ||||
\(771\) | −15959.8 | + | 18418.6i | −0.745498 | + | 0.860350i | ||||
\(772\) | 13041.8 | + | 7121.36i | 0.608011 | + | 0.331999i | ||||
\(773\) | 2881.45 | − | 7725.47i | 0.134073 | − | 0.359464i | −0.852513 | − | 0.522706i | \(-0.824922\pi\) |
0.986586 | + | 0.163242i | \(0.0521951\pi\) | |||||||
\(774\) | −1223.34 | + | 786.194i | −0.0568115 | + | 0.0365106i | ||||
\(775\) | −9996.53 | + | 4949.42i | −0.463337 | + | 0.229405i | ||||
\(776\) | 994.916 | − | 143.047i | 0.0460250 | − | 0.00661740i | ||||
\(777\) | 13590.6 | − | 5069.02i | 0.627488 | − | 0.234041i | ||||
\(778\) | 15282.6 | − | 11440.4i | 0.704251 | − | 0.527195i | ||||
\(779\) | −29309.4 | − | 18836.0i | −1.34803 | − | 0.866329i | ||||
\(780\) | 1524.77 | − | 2899.50i | 0.0699944 | − | 0.133101i | ||||
\(781\) | − | 12132.6i | − | 0.555877i | ||||||
\(782\) | −8832.15 | + | 10790.9i | −0.403884 | + | 0.493454i | ||||
\(783\) | −24791.3 | + | 24791.3i | −1.13150 | + | 1.13150i | ||||
\(784\) | 4897.39 | − | 4243.61i | 0.223095 | − | 0.193313i | ||||
\(785\) | 4645.77 | + | 6985.86i | 0.211229 | + | 0.317626i | ||||
\(786\) | 1873.15 | − | 13028.0i | 0.0850038 | − | 0.591215i | ||||
\(787\) | −4599.65 | − | 12332.1i | −0.208335 | − | 0.558568i | 0.790190 | − | 0.612862i | \(-0.209982\pi\) |
−0.998525 | + | 0.0542941i | \(0.982709\pi\) | |||||||
\(788\) | 25340.7 | + | 18969.8i | 1.14559 | + | 0.857576i | ||||
\(789\) | 10402.4 | + | 3054.42i | 0.469372 | + | 0.137820i | ||||
\(790\) | −5813.21 | − | 36376.7i | −0.261803 | − | 1.63826i | ||||
\(791\) | −2048.56 | − | 4485.72i | −0.0920840 | − | 0.201636i | ||||
\(792\) | −1448.13 | + | 2652.05i | −0.0649709 | + | 0.118985i | ||||
\(793\) | −792.265 | + | 56.6639i | −0.0354781 | + | 0.00253745i | ||||
\(794\) | −10319.1 | − | 8941.57i | −0.461224 | − | 0.399653i | ||||
\(795\) | 5296.73 | + | 6849.26i | 0.236296 | + | 0.305558i | ||||
\(796\) | 27035.6 | − | 12346.7i | 1.20383 | − | 0.549772i | ||||
\(797\) | −5042.69 | + | 23180.9i | −0.224117 | + | 1.03025i | 0.718281 | + | 0.695754i | \(0.244929\pi\) |
−0.942397 | + | 0.334495i | \(0.891434\pi\) | |||||||
\(798\) | 19646.8 | − | 10728.0i | 0.871541 | − | 0.475898i | ||||
\(799\) | 499.320 | + | 3472.85i | 0.0221085 | + | 0.153768i | ||||
\(800\) | −14573.4 | + | 28798.9i | −0.644057 | + | 1.27274i | ||||
\(801\) | −25319.8 | − | 3640.44i | −1.11689 | − | 0.160585i | ||||
\(802\) | 49542.1 | − | 10777.2i | 2.18129 | − | 0.474510i | ||||
\(803\) | 192.761 | − | 2695.15i | 0.00847121 | − | 0.118443i | ||||
\(804\) | 17490.3 | 0.767210 | ||||||||
\(805\) | 15997.3 | − | 8169.45i | 0.700409 | − | 0.357684i | ||||
\(806\) | 3698.66 | 0.161637 | ||||||||
\(807\) | 1195.14 | − | 16710.2i | 0.0521325 | − | 0.728907i | ||||
\(808\) | −5408.53 | + | 1176.55i | −0.235484 | + | 0.0512265i | ||||
\(809\) | −15976.9 | − | 2297.13i | −0.694335 | − | 0.0998303i | −0.213893 | − | 0.976857i | \(-0.568614\pi\) |
−0.480442 | + | 0.877027i | \(0.659524\pi\) | |||||||
\(810\) | 1242.25 | + | 1389.06i | 0.0538868 | + | 0.0602549i | ||||
\(811\) | 2113.96 | + | 14702.9i | 0.0915305 | + | 0.636609i | 0.983011 | + | 0.183549i | \(0.0587586\pi\) |
−0.891480 | + | 0.453060i | \(0.850332\pi\) | |||||||
\(812\) | 30962.9 | − | 16907.0i | 1.33816 | − | 0.730689i | ||||
\(813\) | −228.257 | + | 1049.28i | −0.00984666 | + | 0.0452644i | ||||
\(814\) | 33401.9 | − | 15254.2i | 1.43825 | − | 0.656828i | ||||
\(815\) | 28160.6 | + | 3599.57i | 1.21034 | + | 0.154708i | ||||
\(816\) | 3513.40 | + | 3044.38i | 0.150728 | + | 0.130606i | ||||
\(817\) | 2360.83 | − | 168.850i | 0.101095 | − | 0.00723049i | ||||
\(818\) | −17085.8 | + | 31290.2i | −0.730305 | + | 1.33745i | ||||
\(819\) | −1038.87 | − | 2274.80i | −0.0443235 | − | 0.0970549i | ||||
\(820\) | 18417.3 | − | 25423.3i | 0.784342 | − | 1.08271i | ||||
\(821\) | −36279.3 | − | 10652.6i | −1.54221 | − | 0.452835i | −0.603452 | − | 0.797400i | \(-0.706208\pi\) |
−0.938763 | + | 0.344565i | \(0.888027\pi\) | |||||||
\(822\) | 27393.2 | + | 20506.3i | 1.16235 | + | 0.870122i | ||||
\(823\) | 7278.87 | + | 19515.4i | 0.308293 | + | 0.826566i | 0.995022 | + | 0.0996526i | \(0.0317732\pi\) |
−0.686729 | + | 0.726913i | \(0.740954\pi\) | |||||||
\(824\) | −829.904 | + | 5772.11i | −0.0350863 | + | 0.244030i | ||||
\(825\) | −8711.39 | − | 6104.99i | −0.367626 | − | 0.257634i | ||||
\(826\) | 26383.6 | − | 22861.5i | 1.11138 | − | 0.963019i | ||||
\(827\) | −2247.27 | + | 2247.27i | −0.0944923 | + | 0.0944923i | −0.752773 | − | 0.658280i | \(-0.771284\pi\) |
0.658280 | + | 0.752773i | \(0.271284\pi\) | |||||||
\(828\) | 17320.6 | − | 5618.76i | 0.726970 | − | 0.235828i | ||||
\(829\) | − | 9523.52i | − | 0.398994i | −0.979898 | − | 0.199497i | \(-0.936069\pi\) | ||
0.979898 | − | 0.199497i | \(-0.0639307\pi\) | |||||||
\(830\) | −23984.5 | − | 12612.9i | −1.00303 | − | 0.527468i | ||||
\(831\) | 19472.4 | + | 12514.2i | 0.812864 | + | 0.522396i | ||||
\(832\) | 5426.94 | − | 4062.55i | 0.226136 | − | 0.169283i | ||||
\(833\) | 3702.80 | − | 1381.07i | 0.154015 | − | 0.0574446i | ||||
\(834\) | −4595.71 | + | 660.764i | −0.190811 | + | 0.0274345i | ||||
\(835\) | −25714.9 | + | 30633.4i | −1.06575 | + | 1.26959i | ||||
\(836\) | 25905.0 | − | 16648.1i | 1.07170 | − | 0.688741i | ||||
\(837\) | 4297.76 | − | 11522.7i | 0.177482 | − | 0.475847i | ||||
\(838\) | −40904.9 | − | 22335.8i | −1.68620 | − | 0.920736i | ||||
\(839\) | 14243.7 | − | 16438.1i | 0.586110 | − | 0.676407i | −0.382797 | − | 0.923833i | \(-0.625039\pi\) |
0.968907 | + | 0.247426i | \(0.0795846\pi\) | |||||||
\(840\) | 1383.99 | + | 2909.03i | 0.0568478 | + | 0.119489i | ||||
\(841\) | 38698.2 | − | 11362.8i | 1.58671 | − | 0.465900i | ||||
\(842\) | 35023.1 | + | 13062.9i | 1.43346 | + | 0.534654i | ||||
\(843\) | −12613.1 | − | 2743.80i | −0.515322 | − | 0.112101i | ||||
\(844\) | −6788.51 | + | 23119.5i | −0.276860 | + | 0.942899i | ||||
\(845\) | −11567.8 | − | 20417.8i | −0.470940 | − | 0.831234i | ||||
\(846\) | 3502.53 | − | 7669.47i | 0.142340 | − | 0.311680i | ||||
\(847\) | 5074.30 | + | 6778.47i | 0.205850 | + | 0.274983i | ||||
\(848\) | 2622.91 | + | 12057.3i | 0.106216 | + | 0.488267i | ||||
\(849\) | 12661.0 | + | 14611.6i | 0.511808 | + | 0.590658i | ||||
\(850\) | −11612.6 | + | 10717.4i | −0.468598 | + | 0.432475i | ||||
\(851\) | −33447.4 | − | 11415.9i | −1.34731 | − | 0.459849i | ||||
\(852\) | −9271.95 | − | 9271.95i | −0.372831 | − | 0.372831i | ||||
\(853\) | 33862.5 | + | 2421.89i | 1.35924 | + | 0.0972146i | 0.731836 | − | 0.681481i | \(-0.238664\pi\) |
0.627402 | + | 0.778695i | \(0.284118\pi\) | |||||||
\(854\) | 2643.99 | − | 4114.13i | 0.105943 | − | 0.164851i | ||||
\(855\) | −5217.87 | − | 22298.4i | −0.208710 | − | 0.891918i | ||||
\(856\) | 5628.37 | + | 2570.39i | 0.224736 | + | 0.102633i | ||||
\(857\) | 22098.1 | − | 29519.6i | 0.880812 | − | 1.17663i | −0.102506 | − | 0.994732i | \(-0.532686\pi\) |
0.983318 | − | 0.181894i | \(-0.0582229\pi\) | |||||||
\(858\) | 1690.41 | + | 3095.76i | 0.0672607 | + | 0.123179i | ||||
\(859\) | −23371.9 | − | 36367.4i | −0.928335 | − | 1.44452i | −0.895502 | − | 0.445057i | \(-0.853183\pi\) |
−0.0328334 | − | 0.999461i | \(-0.510453\pi\) | |||||||
\(860\) | 33.4100 | + | 2132.44i | 0.00132474 | + | 0.0845530i | ||||
\(861\) | 3761.66 | + | 12811.0i | 0.148893 | + | 0.507083i | ||||
\(862\) | 678.118 | + | 9481.32i | 0.0267944 | + | 0.374635i | ||||
\(863\) | −2893.26 | − | 40453.1i | −0.114123 | − | 1.59564i | −0.655720 | − | 0.755005i | \(-0.727635\pi\) |
0.541597 | − | 0.840638i | \(-0.317820\pi\) | |||||||
\(864\) | −10025.4 | − | 34143.4i | −0.394759 | − | 1.34443i | ||||
\(865\) | −264.412 | − | 16876.5i | −0.0103934 | − | 0.663372i | ||||
\(866\) | −32023.5 | − | 49829.5i | −1.25659 | − | 1.95528i | ||||
\(867\) | −5959.54 | − | 10914.1i | −0.233445 | − | 0.427522i | ||||
\(868\) | −7415.82 | + | 9906.38i | −0.289988 | + | 0.387378i | ||||
\(869\) | 19605.1 | + | 8953.36i | 0.765314 | + | 0.349507i | ||||
\(870\) | 8431.33 | + | 36031.0i | 0.328562 | + | 1.40410i | ||||
\(871\) | −3164.21 | + | 4923.61i | −0.123094 | + | 0.191538i | ||||
\(872\) | 10321.6 | + | 738.215i | 0.400841 | + | 0.0286687i | ||||
\(873\) | 1936.30 | + | 1936.30i | 0.0750673 | + | 0.0750673i | ||||
\(874\) | −53599.5 | − | 10092.3i | −2.07441 | − | 0.390590i | ||||
\(875\) | 19240.1 | − | 6646.13i | 0.743355 | − | 0.256777i | ||||
\(876\) | −1912.36 | − | 2206.98i | −0.0737589 | − | 0.0851223i | ||||
\(877\) | −6704.54 | − | 30820.3i | −0.258148 | − | 1.18669i | −0.905449 | − | 0.424455i | \(-0.860466\pi\) |
0.647301 | − | 0.762235i | \(-0.275898\pi\) | |||||||
\(878\) | 5625.34 | + | 7514.57i | 0.216225 | + | 0.288843i | ||||
\(879\) | 9415.97 | − | 20618.1i | 0.361311 | − | 0.791161i | ||||
\(880\) | −7472.96 | − | 13190.2i | −0.286265 | − | 0.505273i | ||||
\(881\) | 6587.96 | − | 22436.5i | 0.251934 | − | 0.858009i | −0.732276 | − | 0.681008i | \(-0.761542\pi\) |
0.984211 | − | 0.177002i | \(-0.0566398\pi\) | |||||||
\(882\) | −9279.93 | − | 2018.73i | −0.354276 | − | 0.0770680i | ||||
\(883\) | −10398.8 | − | 3878.57i | −0.396318 | − | 0.147819i | 0.143400 | − | 0.989665i | \(-0.454196\pi\) |
−0.539718 | + | 0.841846i | \(0.681469\pi\) | |||||||
\(884\) | 2731.90 | − | 802.157i | 0.103941 | − | 0.0305198i | ||||
\(885\) | 8548.62 | + | 17968.5i | 0.324699 | + | 0.682490i | ||||
\(886\) | −37365.4 | + | 43121.9i | −1.41683 | + | 1.63511i | ||||
\(887\) | 37481.2 | + | 20466.3i | 1.41882 | + | 0.774736i | 0.991592 | − | 0.129405i | \(-0.0413069\pi\) |
0.427232 | + | 0.904142i | \(0.359489\pi\) | |||||||
\(888\) | 2215.03 | − | 5938.73i | 0.0837068 | − | 0.224427i | ||||
\(889\) | −17364.1 | + | 11159.2i | −0.655088 | + | 0.421000i | ||||
\(890\) | −44388.4 | + | 52878.5i | −1.67180 | + | 1.99156i | ||||
\(891\) | −1079.18 | + | 155.162i | −0.0405767 | + | 0.00583405i | ||||
\(892\) | 2398.43 | − | 894.570i | 0.0900286 | − | 0.0335789i | ||||
\(893\) | −10985.9 | + | 8223.93i | −0.411678 | + | 0.308178i | ||||
\(894\) | −12810.2 | − | 8232.61i | −0.479236 | − | 0.307986i | ||||
\(895\) | 13393.6 | + | 7043.35i | 0.500222 | + | 0.263054i | ||||
\(896\) | 11651.8i | 0.434440i | ||||||||
\(897\) | 864.571 | − | 3282.87i | 0.0321819 | − | 0.122198i | ||||
\(898\) | 4266.72 | − | 4266.72i | 0.158555 | − | 0.158555i | ||||
\(899\) | −17157.3 | + | 14866.9i | −0.636515 | + | 0.551544i | ||||
\(900\) | 20323.1 | − | 3575.11i | 0.752706 | − | 0.132411i | ||||
\(901\) | −1070.95 | + | 7448.62i | −0.0395988 | + | 0.275416i | ||||
\(902\) | 11812.2 | + | 31669.7i | 0.436034 | + | 1.16905i | ||||
\(903\) | −726.137 | − | 543.579i | −0.0267600 | − | 0.0200323i | ||||
\(904\) | −2067.59 | − | 607.100i | −0.0760698 | − | 0.0223361i | ||||
\(905\) | −126.969 | + | 175.269i | −0.00466365 | + | 0.00643771i | ||||
\(906\) | −15316.7 | − | 33539.0i | −0.561661 | − | 1.22987i | ||||
\(907\) | 20784.5 | − | 38064.0i | 0.760902 | − | 1.39349i | −0.153279 | − | 0.988183i | \(-0.548983\pi\) |
0.914181 | − | 0.405306i | \(-0.132835\pi\) | |||||||
\(908\) | 12670.5 | − | 906.213i | 0.463090 | − | 0.0331208i | ||||
\(909\) | −11396.1 | − | 9874.74i | −0.415823 | − | 0.360313i | ||||
\(910\) | −6695.03 | − | 855.778i | −0.243888 | − | 0.0311745i | ||||
\(911\) | −38697.0 | + | 17672.3i | −1.40734 | + | 0.642711i | −0.966920 | − | 0.255080i | \(-0.917898\pi\) |
−0.440422 | + | 0.897791i | \(0.645171\pi\) | |||||||
\(912\) | −3865.14 | + | 17767.7i | −0.140337 | + | 0.645119i | ||||
\(913\) | 13915.2 | − | 7598.27i | 0.504409 | − | 0.275428i | ||||
\(914\) | 2100.39 | + | 14608.6i | 0.0760118 | + | 0.528674i | ||||
\(915\) | 1858.19 | + | 2077.79i | 0.0671366 | + | 0.0750705i | ||||
\(916\) | 26031.4 | + | 3742.75i | 0.938976 | + | 0.135004i | ||||
\(917\) | −14398.8 | + | 3132.27i | −0.518529 | + | 0.112799i | ||||
\(918\) | 1242.89 | − | 17377.8i | 0.0446856 | − | 0.624786i | ||||
\(919\) | −2344.91 | −0.0841691 | −0.0420845 | − | 0.999114i | \(-0.513400\pi\) | ||||
−0.0420845 | + | 0.999114i | \(0.513400\pi\) | |||||||
\(920\) | 1879.83 | − | 7620.75i | 0.0673655 | − | 0.273096i | ||||
\(921\) | 2763.18 | 0.0988600 | ||||||||
\(922\) | −2280.19 | + | 31881.2i | −0.0814468 | + | 1.13877i | ||||
\(923\) | 4287.50 | − | 932.688i | 0.152898 | − | 0.0332609i | ||||
\(924\) | −11680.9 | − | 1679.45i | −0.415879 | − | 0.0597944i | ||||
\(925\) | −35735.6 | − | 18083.6i | −1.27025 | − | 0.642794i | ||||
\(926\) | −1051.82 | − | 7315.59i | −0.0373273 | − | 0.259617i | ||||
\(927\) | −13943.5 | + | 7613.71i | −0.494028 | + | 0.269760i | ||||
\(928\) | −13963.3 | + | 64188.4i | −0.493932 | + | 2.27057i | ||||
\(929\) | 33341.7 | − | 15226.7i | 1.17751 | − | 0.537751i | 0.272092 | − | 0.962271i | \(-0.412285\pi\) |
0.905418 | + | 0.424520i | \(0.139557\pi\) | |||||||
\(930\) | −7940.52 | − | 10268.0i | −0.279978 | − | 0.362043i | ||||
\(931\) | 11681.9 | + | 10122.4i | 0.411235 | + | 0.356337i | ||||
\(932\) | 55433.2 | − | 3964.66i | 1.94826 | − | 0.139342i | ||||
\(933\) | 9289.03 | − | 17011.6i | 0.325948 | − | 0.596929i | ||||
\(934\) | 1974.51 | + | 4323.56i | 0.0691732 | + | 0.151468i | ||||
\(935\) | −1458.96 | − | 9129.58i | −0.0510300 | − | 0.319325i | ||||
\(936\) | −1048.52 | − | 307.873i | −0.0366152 | − | 0.0107512i | ||||
\(937\) | −31173.9 | − | 23336.5i | −1.08688 | − | 0.813628i | −0.103399 | − | 0.994640i | \(-0.532972\pi\) |
−0.983481 | + | 0.181012i | \(0.942063\pi\) | |||||||
\(938\) | −12593.1 | − | 33763.3i | −0.438356 | − | 1.17528i | ||||
\(939\) | −1278.69 | + | 8893.47i | −0.0444392 | + | 0.309081i | ||||
\(940\) | −6847.38 | − | 10296.4i | −0.237592 | − | 0.357269i | ||||
\(941\) | 33129.8 | − | 28707.1i | 1.14771 | − | 0.994500i | 0.147729 | − | 0.989028i | \(-0.452804\pi\) |
0.999985 | − | 0.00547222i | \(-0.00174187\pi\) | |||||||
\(942\) | −6903.14 | + | 6903.14i | −0.238765 | + | 0.238765i | ||||
\(943\) | 12677.9 | − | 29960.1i | 0.437804 | − | 1.03461i | ||||
\(944\) | 28357.8i | 0.977719i | ||||||||
\(945\) | −10445.6 | + | 19863.2i | −0.359571 | + | 0.683757i | ||||
\(946\) | −1931.73 | − | 1241.45i | −0.0663911 | − | 0.0426670i | ||||
\(947\) | 12468.2 | − | 9333.60i | 0.427838 | − | 0.320276i | −0.363566 | − | 0.931568i | \(-0.618441\pi\) |
0.791405 | + | 0.611292i | \(0.209350\pi\) | |||||||
\(948\) | 21824.8 | − | 8140.23i | 0.747718 | − | 0.278885i | ||||
\(949\) | 967.245 | − | 139.069i | 0.0330855 | − | 0.00475697i | ||||
\(950\) | −58559.2 | − | 19774.9i | −1.99991 | − | 0.675349i | ||||
\(951\) | −1569.39 | + | 1008.59i | −0.0535132 | + | 0.0343908i | ||||
\(952\) | −978.450 | + | 2623.33i | −0.0333107 | + | 0.0893093i | ||||
\(953\) | −44264.2 | − | 24170.1i | −1.50457 | − | 0.821560i | −0.505428 | − | 0.862869i | \(-0.668665\pi\) |
−0.999146 | + | 0.0413091i | \(0.986847\pi\) | |||||||
\(954\) | 11842.4 | − | 13666.8i | 0.401898 | − | 0.463815i | ||||
\(955\) | −12981.0 | + | 36541.8i | −0.439849 | + | 1.23818i | ||||
\(956\) | −53582.3 | + | 15733.2i | −1.81274 | + | 0.532267i | ||||
\(957\) | −20284.9 | − | 7565.89i | −0.685182 | − | 0.255560i | ||||
\(958\) | −72742.4 | − | 15824.1i | −2.45324 | − | 0.533669i | ||||
\(959\) | 10793.0 | − | 36757.6i | 0.363424 | − | 1.23771i | ||||
\(960\) | −22929.1 | − | 6344.17i | −0.770869 | − | 0.213289i | ||||
\(961\) | −9067.53 | + | 19855.1i | −0.304372 | + | 0.666481i | ||||
\(962\) | 7958.35 | + | 10631.1i | 0.266723 | + | 0.356300i | ||||
\(963\) | 3583.16 | + | 16471.5i | 0.119902 | + | 0.551182i | ||||
\(964\) | 16881.9 | + | 19482.8i | 0.564035 | + | 0.650931i | ||||
\(965\) | 15984.7 | + | 6999.42i | 0.533227 | + | 0.233492i | ||||
\(966\) | 12991.1 | + | 16374.5i | 0.432693 | + | 0.545385i | ||||
\(967\) | −5568.12 | − | 5568.12i | −0.185169 | − | 0.185169i | 0.608435 | − | 0.793604i | \(-0.291798\pi\) |
−0.793604 | + | 0.608435i | \(0.791798\pi\) | |||||||
\(968\) | 3690.59 | + | 263.956i | 0.122541 | + | 0.00876434i | ||||
\(969\) | −5995.27 | + | 9328.82i | −0.198757 | + | 0.309272i | ||||
\(970\) | 7196.23 | − | 1683.93i | 0.238203 | − | 0.0557400i | ||||
\(971\) | 36196.4 | + | 16530.4i | 1.19629 | + | 0.546328i | 0.911117 | − | 0.412148i | \(-0.135221\pi\) |
0.285175 | + | 0.958476i | \(0.407948\pi\) | |||||||
\(972\) | −21935.9 | + | 29303.0i | −0.723864 | + | 0.966969i | ||||
\(973\) | 2491.17 | + | 4562.23i | 0.0820792 | + | 0.150317i | ||||
\(974\) | 40513.1 | + | 63039.5i | 1.33277 | + | 2.07384i | ||||
\(975\) | 1487.73 | − | 3547.79i | 0.0488672 | − | 0.116534i | ||||
\(976\) | 1119.19 | + | 3811.61i | 0.0367054 | + | 0.125007i | ||||
\(977\) | 2549.69 | + | 35649.3i | 0.0834921 | + | 1.16737i | 0.850586 | + | 0.525837i | \(0.176248\pi\) |
−0.767093 | + | 0.641535i | \(0.778298\pi\) | |||||||
\(978\) | 2356.73 | + | 32951.4i | 0.0770551 | + | 1.07737i | ||||
\(979\) | −11379.9 | − | 38756.5i | −0.371506 | − | 1.26523i | ||||
\(980\) | −9693.20 | + | 10001.8i | −0.315957 | + | 0.326015i | ||||
\(981\) | 15241.3 | + | 23715.9i | 0.496041 | + | 0.771855i | ||||
\(982\) | −22598.0 | − | 41385.1i | −0.734348 | − | 1.34486i | ||||
\(983\) | −14042.0 | + | 18757.9i | −0.455616 | + | 0.608632i | −0.968253 | − | 0.249974i | \(-0.919578\pi\) |
0.512636 | + | 0.858606i | \(0.328669\pi\) | |||||||
\(984\) | 5307.19 | + | 2423.71i | 0.171938 | + | 0.0785214i | ||||
\(985\) | 31582.8 | + | 19604.8i | 1.02164 | + | 0.634175i | ||||
\(986\) | −17387.7 | + | 27055.9i | −0.561601 | + | 0.873868i | ||||
\(987\) | 5245.72 | + | 375.181i | 0.169172 | + | 0.0120994i | ||||
\(988\) | 7874.63 | + | 7874.63i | 0.253568 | + | 0.253568i | ||||
\(989\) | 530.247 | + | 2145.51i | 0.0170484 | + | 0.0689820i | ||||
\(990\) | −8911.79 | + | 20351.9i | −0.286096 | + | 0.653361i | ||||
\(991\) | 10892.8 | + | 12571.0i | 0.349164 | + | 0.402957i | 0.902980 | − | 0.429682i | \(-0.141374\pi\) |
−0.553816 | + | 0.832639i | \(0.686829\pi\) | |||||||
\(992\) | −4897.95 | − | 22515.5i | −0.156764 | − | 0.720633i | ||||
\(993\) | −19215.2 | − | 25668.5i | −0.614075 | − | 0.820308i | ||||
\(994\) | −11222.7 | + | 24574.4i | −0.358112 | + | 0.784157i | ||||
\(995\) | 30367.8 | − | 17205.1i | 0.967563 | − | 0.548178i | ||||
\(996\) | 4827.49 | − | 16440.9i | 0.153579 | − | 0.523042i | ||||
\(997\) | −42760.5 | − | 9301.98i | −1.35831 | − | 0.295483i | −0.526329 | − | 0.850281i | \(-0.676432\pi\) |
−0.831985 | + | 0.554798i | \(0.812796\pi\) | |||||||
\(998\) | 50728.7 | + | 18920.8i | 1.60901 | + | 0.600129i | ||||
\(999\) | 42367.4 | − | 12440.2i | 1.34179 | − | 0.393984i |
(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 | 115.4.l.a.102.29 | yes | 680 | |
5.3 | odd | 4 | inner | 115.4.l.a.33.6 | yes | 680 | |
23.7 | odd | 22 | inner | 115.4.l.a.7.6 | ✓ | 680 | |
115.53 | even | 44 | inner | 115.4.l.a.53.29 | yes | 680 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.4.l.a.7.6 | ✓ | 680 | 23.7 | odd | 22 | inner | |
115.4.l.a.33.6 | yes | 680 | 5.3 | odd | 4 | inner | |
115.4.l.a.53.29 | yes | 680 | 115.53 | even | 44 | inner | |
115.4.l.a.102.29 | yes | 680 | 1.1 | even | 1 | trivial |