Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,4,Mod(2,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.l (of order \(12\), degree \(4\), 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: | \(2.65508595026\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.7 | ||
Character | \(\chi\) | \(=\) | 45.2 |
Dual form | 45.4.l.a.23.7 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.429078 | − | 1.60134i | −0.151702 | − | 0.566160i | −0.999365 | − | 0.0356249i | \(-0.988658\pi\) |
0.847663 | − | 0.530535i | \(-0.178009\pi\) | |||||||
\(3\) | −4.91725 | + | 1.67949i | −0.946325 | + | 0.323217i | ||||
\(4\) | 4.54802 | − | 2.62580i | 0.568502 | − | 0.328225i | ||||
\(5\) | −7.92902 | − | 7.88230i | −0.709193 | − | 0.705014i | ||||
\(6\) | 4.79931 | + | 7.15356i | 0.326552 | + | 0.486738i | ||||
\(7\) | −30.4193 | + | 8.15082i | −1.64249 | + | 0.440103i | −0.957495 | − | 0.288449i | \(-0.906860\pi\) |
−0.684991 | + | 0.728552i | \(0.740194\pi\) | |||||||
\(8\) | −15.5344 | − | 15.5344i | −0.686528 | − | 0.686528i | ||||
\(9\) | 21.3587 | − | 16.5169i | 0.791061 | − | 0.611737i | ||||
\(10\) | −9.22008 | + | 16.0792i | −0.291565 | + | 0.508469i | ||||
\(11\) | −31.0214 | − | 17.9102i | −0.850300 | − | 0.490921i | 0.0104522 | − | 0.999945i | \(-0.496673\pi\) |
−0.860752 | + | 0.509025i | \(0.830006\pi\) | |||||||
\(12\) | −17.9537 | + | 20.5500i | −0.431900 | + | 0.494357i | ||||
\(13\) | 53.6997 | + | 14.3888i | 1.14566 | + | 0.306979i | 0.781226 | − | 0.624249i | \(-0.214595\pi\) |
0.364437 | + | 0.931228i | \(0.381261\pi\) | |||||||
\(14\) | 26.1045 | + | 45.2143i | 0.498337 | + | 0.863145i | ||||
\(15\) | 52.2272 | + | 25.4426i | 0.899000 | + | 0.437949i | ||||
\(16\) | 2.79604 | − | 4.84288i | 0.0436881 | − | 0.0756700i | ||||
\(17\) | 29.9510 | − | 29.9510i | 0.427305 | − | 0.427305i | −0.460404 | − | 0.887709i | \(-0.652296\pi\) |
0.887709 | + | 0.460404i | \(0.152296\pi\) | |||||||
\(18\) | −35.6137 | − | 27.1155i | −0.466346 | − | 0.355065i | ||||
\(19\) | − | 17.7095i | − | 0.213834i | −0.994268 | − | 0.106917i | \(-0.965902\pi\) | ||
0.994268 | − | 0.106917i | \(-0.0340979\pi\) | |||||||
\(20\) | −56.7587 | − | 15.0288i | −0.634581 | − | 0.168027i | ||||
\(21\) | 135.890 | − | 91.1683i | 1.41208 | − | 0.947360i | ||||
\(22\) | −15.3698 | + | 57.3607i | −0.148947 | + | 0.555879i | ||||
\(23\) | 27.3107 | − | 101.925i | 0.247595 | − | 0.924036i | −0.724467 | − | 0.689310i | \(-0.757914\pi\) |
0.972062 | − | 0.234726i | \(-0.0754193\pi\) | |||||||
\(24\) | 102.476 | + | 50.2966i | 0.871576 | + | 0.427781i | ||||
\(25\) | 0.738685 | + | 124.998i | 0.00590948 | + | 0.999983i | ||||
\(26\) | − | 92.1654i | − | 0.695197i | ||||||
\(27\) | −77.2859 | + | 117.089i | −0.550877 | + | 0.834586i | ||||
\(28\) | −116.945 | + | 116.945i | −0.789304 | + | 0.789304i | ||||
\(29\) | −26.5786 | + | 46.0355i | −0.170190 | + | 0.294779i | −0.938486 | − | 0.345316i | \(-0.887772\pi\) |
0.768296 | + | 0.640095i | \(0.221105\pi\) | |||||||
\(30\) | 18.3327 | − | 94.5503i | 0.111569 | − | 0.575415i | ||||
\(31\) | −19.1014 | − | 33.0846i | −0.110668 | − | 0.191683i | 0.805372 | − | 0.592770i | \(-0.201966\pi\) |
−0.916040 | + | 0.401087i | \(0.868632\pi\) | |||||||
\(32\) | −178.717 | − | 47.8872i | −0.987284 | − | 0.264542i | ||||
\(33\) | 182.620 | + | 35.9690i | 0.963334 | + | 0.189739i | ||||
\(34\) | −60.8131 | − | 35.1104i | −0.306746 | − | 0.177100i | ||||
\(35\) | 305.442 | + | 175.146i | 1.47512 | + | 0.845858i | ||||
\(36\) | 53.7695 | − | 131.203i | 0.248933 | − | 0.607420i | ||||
\(37\) | −75.1697 | − | 75.1697i | −0.333995 | − | 0.333995i | 0.520106 | − | 0.854102i | \(-0.325892\pi\) |
−0.854102 | + | 0.520106i | \(0.825892\pi\) | |||||||
\(38\) | −28.3590 | + | 7.59877i | −0.121064 | + | 0.0324390i | ||||
\(39\) | −288.220 | + | 19.4346i | −1.18339 | + | 0.0797955i | ||||
\(40\) | 0.725746 | + | 245.619i | 0.00286876 | + | 0.970893i | ||||
\(41\) | −126.863 | + | 73.2444i | −0.483236 | + | 0.278996i | −0.721764 | − | 0.692139i | \(-0.756668\pi\) |
0.238528 | + | 0.971136i | \(0.423335\pi\) | |||||||
\(42\) | −204.299 | − | 178.488i | −0.750572 | − | 0.655744i | ||||
\(43\) | −140.961 | − | 526.075i | −0.499916 | − | 1.86571i | −0.500542 | − | 0.865712i | \(-0.666866\pi\) |
0.000626116 | − | 1.00000i | \(-0.499801\pi\) | |||||||
\(44\) | −188.114 | −0.644530 | ||||||||
\(45\) | −299.544 | − | 37.3926i | −0.992298 | − | 0.123870i | ||||
\(46\) | −174.935 | −0.560712 | ||||||||
\(47\) | 43.2145 | + | 161.279i | 0.134117 | + | 0.500530i | 1.00000 | 0.000284175i | \(9.04559e-5\pi\) | |
−0.865883 | + | 0.500246i | \(0.833243\pi\) | |||||||
\(48\) | −5.61527 | + | 28.5095i | −0.0168853 | + | 0.0857291i | ||||
\(49\) | 561.849 | − | 324.384i | 1.63804 | − | 0.945725i | ||||
\(50\) | 199.847 | − | 54.8167i | 0.565253 | − | 0.155045i | ||||
\(51\) | −96.9742 | + | 197.579i | −0.266257 | + | 0.542481i | ||||
\(52\) | 282.009 | − | 75.5641i | 0.752070 | − | 0.201517i | ||||
\(53\) | −170.746 | − | 170.746i | −0.442525 | − | 0.442525i | 0.450335 | − | 0.892860i | \(-0.351305\pi\) |
−0.892860 | + | 0.450335i | \(0.851305\pi\) | |||||||
\(54\) | 220.661 | + | 73.5208i | 0.556078 | + | 0.185276i | ||||
\(55\) | 104.796 | + | 386.530i | 0.256920 | + | 0.947631i | ||||
\(56\) | 599.162 | + | 345.926i | 1.42976 | + | 0.825470i | ||||
\(57\) | 29.7429 | + | 87.0821i | 0.0691147 | + | 0.202356i | ||||
\(58\) | 85.1228 | + | 22.8086i | 0.192710 | + | 0.0516365i | ||||
\(59\) | 28.0525 | + | 48.5883i | 0.0619004 | + | 0.107215i | 0.895315 | − | 0.445434i | \(-0.146951\pi\) |
−0.833414 | + | 0.552648i | \(0.813617\pi\) | |||||||
\(60\) | 304.337 | − | 21.4248i | 0.654829 | − | 0.0460989i | ||||
\(61\) | 187.285 | − | 324.386i | 0.393104 | − | 0.680876i | −0.599753 | − | 0.800185i | \(-0.704735\pi\) |
0.992857 | + | 0.119309i | \(0.0380679\pi\) | |||||||
\(62\) | −44.7838 | + | 44.7838i | −0.0917346 | + | 0.0917346i | ||||
\(63\) | −515.089 | + | 676.522i | −1.03008 | + | 1.35292i | ||||
\(64\) | 261.998i | 0.511716i | ||||||||
\(65\) | −312.369 | − | 537.366i | −0.596071 | − | 1.02542i | ||||
\(66\) | −20.7596 | − | 307.870i | −0.0387170 | − | 0.574185i | ||||
\(67\) | −29.6904 | + | 110.806i | −0.0541382 | + | 0.202046i | −0.987698 | − | 0.156376i | \(-0.950019\pi\) |
0.933559 | + | 0.358423i | \(0.116685\pi\) | |||||||
\(68\) | 57.5724 | − | 214.863i | 0.102672 | − | 0.383176i | ||||
\(69\) | 36.8879 | + | 547.058i | 0.0643592 | + | 0.954465i | ||||
\(70\) | 149.410 | − | 564.268i | 0.255112 | − | 0.963471i | ||||
\(71\) | 921.281i | 1.53994i | 0.638079 | + | 0.769971i | \(0.279729\pi\) | ||||
−0.638079 | + | 0.769971i | \(0.720271\pi\) | |||||||
\(72\) | −588.372 | − | 75.2138i | −0.963060 | − | 0.123111i | ||||
\(73\) | 373.434 | − | 373.434i | 0.598729 | − | 0.598729i | −0.341246 | − | 0.939974i | \(-0.610849\pi\) |
0.939974 | + | 0.341246i | \(0.110849\pi\) | |||||||
\(74\) | −88.1187 | + | 152.626i | −0.138427 | + | 0.239762i | ||||
\(75\) | −213.564 | − | 613.405i | −0.328804 | − | 0.944398i | ||||
\(76\) | −46.5016 | − | 80.5432i | −0.0701856 | − | 0.121565i | ||||
\(77\) | 1089.63 | + | 291.966i | 1.61266 | + | 0.432111i | ||||
\(78\) | 154.791 | + | 453.200i | 0.224700 | + | 0.657883i | ||||
\(79\) | −492.922 | − | 284.589i | −0.702000 | − | 0.405300i | 0.106092 | − | 0.994356i | \(-0.466166\pi\) |
−0.808092 | + | 0.589056i | \(0.799500\pi\) | |||||||
\(80\) | −60.3429 | + | 16.3601i | −0.0843317 | + | 0.0228639i | ||||
\(81\) | 183.385 | − | 705.557i | 0.251556 | − | 0.967843i | ||||
\(82\) | 171.723 | + | 171.723i | 0.231264 | + | 0.231264i | ||||
\(83\) | 439.165 | − | 117.674i | 0.580779 | − | 0.155619i | 0.0435432 | − | 0.999052i | \(-0.486135\pi\) |
0.537235 | + | 0.843432i | \(0.319469\pi\) | |||||||
\(84\) | 378.640 | − | 771.455i | 0.491822 | − | 1.00205i | ||||
\(85\) | −473.565 | + | 1.39927i | −0.604298 | + | 0.00178556i | ||||
\(86\) | −781.941 | + | 451.454i | −0.980452 | + | 0.566065i | ||||
\(87\) | 53.3777 | − | 271.006i | 0.0657780 | − | 0.333965i | ||||
\(88\) | 203.674 | + | 760.121i | 0.246724 | + | 0.920786i | ||||
\(89\) | −148.257 | −0.176575 | −0.0882874 | − | 0.996095i | \(-0.528139\pi\) | ||||
−0.0882874 | + | 0.996095i | \(0.528139\pi\) | |||||||
\(90\) | 68.6496 | + | 495.717i | 0.0804033 | + | 0.580591i | ||||
\(91\) | −1750.79 | −2.01684 | ||||||||
\(92\) | −143.425 | − | 535.269i | −0.162533 | − | 0.606583i | ||||
\(93\) | 149.492 | + | 130.605i | 0.166683 | + | 0.145625i | ||||
\(94\) | 239.720 | − | 138.402i | 0.263034 | − | 0.151863i | ||||
\(95\) | −139.592 | + | 140.419i | −0.150756 | + | 0.151649i | ||||
\(96\) | 959.224 | − | 64.6801i | 1.01980 | − | 0.0687644i | ||||
\(97\) | −312.391 | + | 83.7049i | −0.326995 | + | 0.0876180i | −0.418582 | − | 0.908179i | \(-0.637473\pi\) |
0.0915871 | + | 0.995797i | \(0.470806\pi\) | |||||||
\(98\) | −760.526 | − | 760.526i | −0.783926 | − | 0.783926i | ||||
\(99\) | −958.396 | + | 129.839i | −0.972954 | + | 0.131811i | ||||
\(100\) | 331.579 | + | 566.553i | 0.331579 | + | 0.566553i | ||||
\(101\) | −225.111 | − | 129.968i | −0.221776 | − | 0.128043i | 0.384996 | − | 0.922918i | \(-0.374203\pi\) |
−0.606773 | + | 0.794875i | \(0.707536\pi\) | |||||||
\(102\) | 358.000 | + | 70.5121i | 0.347523 | + | 0.0684484i | ||||
\(103\) | 1135.69 | + | 304.307i | 1.08643 | + | 0.291109i | 0.757229 | − | 0.653149i | \(-0.226553\pi\) |
0.329205 | + | 0.944259i | \(0.393219\pi\) | |||||||
\(104\) | −610.670 | − | 1057.71i | −0.575780 | − | 0.997280i | ||||
\(105\) | −1796.09 | − | 348.250i | −1.66934 | − | 0.323673i | ||||
\(106\) | −200.160 | + | 346.687i | −0.183408 | + | 0.317671i | ||||
\(107\) | 832.828 | − | 832.828i | 0.752453 | − | 0.752453i | −0.222483 | − | 0.974937i | \(-0.571416\pi\) |
0.974937 | + | 0.222483i | \(0.0714162\pi\) | |||||||
\(108\) | −44.0451 | + | 735.461i | −0.0392430 | + | 0.655276i | ||||
\(109\) | − | 494.550i | − | 0.434581i | −0.976107 | − | 0.217290i | \(-0.930278\pi\) | ||
0.976107 | − | 0.217290i | \(-0.0697219\pi\) | |||||||
\(110\) | 574.001 | − | 333.665i | 0.497535 | − | 0.289216i | ||||
\(111\) | 495.874 | + | 243.382i | 0.424021 | + | 0.208115i | ||||
\(112\) | −45.5800 | + | 170.107i | −0.0384545 | + | 0.143514i | ||||
\(113\) | −426.881 | + | 1593.14i | −0.355377 | + | 1.32629i | 0.524632 | + | 0.851329i | \(0.324203\pi\) |
−0.880009 | + | 0.474957i | \(0.842464\pi\) | |||||||
\(114\) | 126.686 | − | 84.9935i | 0.104081 | − | 0.0698278i | ||||
\(115\) | −1019.95 | + | 592.894i | −0.827051 | + | 0.480762i | ||||
\(116\) | 279.160i | 0.223443i | ||||||||
\(117\) | 1384.61 | − | 579.627i | 1.09408 | − | 0.458004i | ||||
\(118\) | 65.7698 | − | 65.7698i | 0.0513102 | − | 0.0513102i | ||||
\(119\) | −666.962 | + | 1155.21i | −0.513784 | + | 0.889900i | ||||
\(120\) | −416.082 | − | 1206.55i | −0.316524 | − | 0.917853i | ||||
\(121\) | −23.9492 | − | 41.4813i | −0.0179934 | − | 0.0311655i | ||||
\(122\) | −599.813 | − | 160.719i | −0.445119 | − | 0.119269i | ||||
\(123\) | 500.804 | − | 573.225i | 0.367122 | − | 0.420211i | ||||
\(124\) | −173.747 | − | 100.313i | −0.125830 | − | 0.0726482i | ||||
\(125\) | 979.413 | − | 996.933i | 0.700811 | − | 0.713347i | ||||
\(126\) | 1304.36 | + | 534.552i | 0.922232 | + | 0.377950i | ||||
\(127\) | 944.231 | + | 944.231i | 0.659740 | + | 0.659740i | 0.955318 | − | 0.295579i | \(-0.0955124\pi\) |
−0.295579 | + | 0.955318i | \(0.595512\pi\) | |||||||
\(128\) | −1010.19 | + | 270.680i | −0.697571 | + | 0.186914i | ||||
\(129\) | 1576.68 | + | 2350.10i | 1.07611 | + | 1.60399i | ||||
\(130\) | −726.476 | + | 730.782i | −0.490124 | + | 0.493029i | ||||
\(131\) | 1480.35 | − | 854.679i | 0.987317 | − | 0.570028i | 0.0828457 | − | 0.996562i | \(-0.473599\pi\) |
0.904471 | + | 0.426535i | \(0.140266\pi\) | |||||||
\(132\) | 925.005 | − | 315.935i | 0.609935 | − | 0.208323i | ||||
\(133\) | 144.347 | + | 538.711i | 0.0941089 | + | 0.351219i | ||||
\(134\) | 190.178 | 0.122603 | ||||||||
\(135\) | 1535.73 | − | 319.211i | 0.979074 | − | 0.203506i | ||||
\(136\) | −930.539 | −0.586714 | ||||||||
\(137\) | −369.776 | − | 1380.02i | −0.230599 | − | 0.860608i | −0.980083 | − | 0.198586i | \(-0.936365\pi\) |
0.749484 | − | 0.662022i | \(-0.230302\pi\) | |||||||
\(138\) | 860.199 | − | 293.801i | 0.530616 | − | 0.181232i | ||||
\(139\) | 304.149 | − | 175.600i | 0.185594 | − | 0.107153i | −0.404324 | − | 0.914616i | \(-0.632493\pi\) |
0.589918 | + | 0.807463i | \(0.299160\pi\) | |||||||
\(140\) | 1849.05 | − | 5.46352i | 1.11624 | − | 0.00329823i | ||||
\(141\) | −483.362 | − | 720.469i | −0.288698 | − | 0.430315i | ||||
\(142\) | 1475.28 | − | 395.301i | 0.871853 | − | 0.233612i | ||||
\(143\) | −1408.13 | − | 1408.13i | −0.823454 | − | 0.823454i | ||||
\(144\) | −20.2697 | − | 149.619i | −0.0117301 | − | 0.0865852i | ||||
\(145\) | 573.608 | − | 155.516i | 0.328521 | − | 0.0890681i | ||||
\(146\) | −758.228 | − | 437.763i | −0.429804 | − | 0.248148i | ||||
\(147\) | −2217.95 | + | 2538.69i | −1.24445 | + | 1.42441i | ||||
\(148\) | −539.254 | − | 144.493i | −0.299503 | − | 0.0802515i | ||||
\(149\) | −817.396 | − | 1415.77i | −0.449421 | − | 0.778419i | 0.548928 | − | 0.835870i | \(-0.315036\pi\) |
−0.998348 | + | 0.0574504i | \(0.981703\pi\) | |||||||
\(150\) | −890.634 | + | 605.188i | −0.484800 | + | 0.329423i | ||||
\(151\) | −238.948 | + | 413.869i | −0.128777 | + | 0.223048i | −0.923203 | − | 0.384313i | \(-0.874438\pi\) |
0.794426 | + | 0.607361i | \(0.207772\pi\) | |||||||
\(152\) | −275.106 | + | 275.106i | −0.146803 | + | 0.146803i | ||||
\(153\) | 145.016 | − | 1134.41i | 0.0766263 | − | 0.599423i | ||||
\(154\) | − | 1870.15i | − | 0.978576i | ||||||
\(155\) | −109.327 | + | 412.892i | −0.0566542 | + | 0.213963i | ||||
\(156\) | −1259.80 | + | 845.198i | −0.646569 | + | 0.433782i | ||||
\(157\) | −447.091 | + | 1668.57i | −0.227272 | + | 0.848192i | 0.754209 | + | 0.656634i | \(0.228020\pi\) |
−0.981481 | + | 0.191557i | \(0.938646\pi\) | |||||||
\(158\) | −244.221 | + | 911.447i | −0.122970 | + | 0.458929i | ||||
\(159\) | 1126.37 | + | 552.836i | 0.561804 | + | 0.275741i | ||||
\(160\) | 1039.59 | + | 1788.40i | 0.513669 | + | 0.883661i | ||||
\(161\) | 3323.09i | 1.62668i | ||||||||
\(162\) | −1208.52 | + | 9.07787i | −0.586115 | + | 0.00440262i | ||||
\(163\) | 2222.14 | − | 2222.14i | 1.06780 | − | 1.06780i | 0.0702721 | − | 0.997528i | \(-0.477613\pi\) |
0.997528 | − | 0.0702721i | \(-0.0223867\pi\) | |||||||
\(164\) | −384.650 | + | 666.234i | −0.183147 | + | 0.317220i | ||||
\(165\) | −1164.48 | − | 1724.66i | −0.549421 | − | 0.813726i | ||||
\(166\) | −376.872 | − | 652.762i | −0.176211 | − | 0.305206i | ||||
\(167\) | −1630.68 | − | 436.939i | −0.755603 | − | 0.202463i | −0.139601 | − | 0.990208i | \(-0.544582\pi\) |
−0.616002 | + | 0.787744i | \(0.711249\pi\) | |||||||
\(168\) | −3527.20 | − | 694.721i | −1.61982 | − | 0.319041i | ||||
\(169\) | 773.962 | + | 446.847i | 0.352281 | + | 0.203390i | ||||
\(170\) | 205.437 | + | 757.738i | 0.0926841 | + | 0.341858i | ||||
\(171\) | −292.506 | − | 378.252i | −0.130810 | − | 0.169156i | ||||
\(172\) | −2022.46 | − | 2022.46i | −0.896576 | − | 0.896576i | ||||
\(173\) | 2637.73 | − | 706.777i | 1.15921 | − | 0.310609i | 0.372558 | − | 0.928009i | \(-0.378481\pi\) |
0.786649 | + | 0.617400i | \(0.211814\pi\) | |||||||
\(174\) | −456.877 | + | 30.8070i | −0.199056 | + | 0.0134223i | ||||
\(175\) | −1041.30 | − | 3796.32i | −0.449801 | − | 1.63986i | ||||
\(176\) | −173.474 | + | 100.155i | −0.0742959 | + | 0.0428948i | ||||
\(177\) | −219.544 | − | 191.807i | −0.0932315 | − | 0.0814526i | ||||
\(178\) | 63.6136 | + | 237.409i | 0.0267868 | + | 0.0999696i | ||||
\(179\) | 484.184 | 0.202177 | 0.101088 | − | 0.994877i | \(-0.467768\pi\) | ||||
0.101088 | + | 0.994877i | \(0.467768\pi\) | |||||||
\(180\) | −1460.52 | + | 616.481i | −0.604781 | + | 0.255277i | ||||
\(181\) | 2651.62 | 1.08891 | 0.544456 | − | 0.838789i | \(-0.316736\pi\) | ||||
0.544456 | + | 0.838789i | \(0.316736\pi\) | |||||||
\(182\) | 751.224 | + | 2803.61i | 0.305958 | + | 1.14185i | ||||
\(183\) | −376.123 | + | 1909.63i | −0.151933 | + | 0.771388i | ||||
\(184\) | −2007.59 | + | 1159.08i | −0.804357 | + | 0.464396i | ||||
\(185\) | 3.51183 | + | 1188.53i | 0.00139565 | + | 0.472339i | ||||
\(186\) | 144.999 | − | 295.427i | 0.0571606 | − | 0.116461i | ||||
\(187\) | −1465.55 | + | 392.693i | −0.573110 | + | 0.153564i | ||||
\(188\) | 620.026 | + | 620.026i | 0.240532 | + | 0.240532i | ||||
\(189\) | 1396.61 | − | 4191.71i | 0.537505 | − | 1.61324i | ||||
\(190\) | 284.755 | + | 163.283i | 0.108728 | + | 0.0623464i | ||||
\(191\) | 785.170 | + | 453.318i | 0.297450 | + | 0.171733i | 0.641297 | − | 0.767293i | \(-0.278397\pi\) |
−0.343847 | + | 0.939026i | \(0.611730\pi\) | |||||||
\(192\) | −440.022 | − | 1288.31i | −0.165395 | − | 0.484249i | ||||
\(193\) | −2622.33 | − | 702.651i | −0.978028 | − | 0.262062i | −0.265814 | − | 0.964024i | \(-0.585641\pi\) |
−0.712214 | + | 0.701963i | \(0.752307\pi\) | |||||||
\(194\) | 268.080 | + | 464.328i | 0.0992115 | + | 0.171839i | ||||
\(195\) | 2438.49 | + | 2117.74i | 0.895509 | + | 0.777717i | ||||
\(196\) | 1703.53 | − | 2950.61i | 0.620821 | − | 1.07529i | ||||
\(197\) | 749.196 | − | 749.196i | 0.270954 | − | 0.270954i | −0.558530 | − | 0.829484i | \(-0.688634\pi\) |
0.829484 | + | 0.558530i | \(0.188634\pi\) | |||||||
\(198\) | 619.143 | + | 1479.01i | 0.222225 | + | 0.530851i | ||||
\(199\) | 4679.84i | 1.66706i | 0.552473 | + | 0.833531i | \(0.313684\pi\) | ||||
−0.552473 | + | 0.833531i | \(0.686316\pi\) | |||||||
\(200\) | 1930.29 | − | 1953.24i | 0.682459 | − | 0.690573i | ||||
\(201\) | −40.1021 | − | 594.725i | −0.0140726 | − | 0.208700i | ||||
\(202\) | −111.533 | + | 416.247i | −0.0388487 | + | 0.144985i | ||||
\(203\) | 433.275 | − | 1617.00i | 0.149803 | − | 0.559071i | ||||
\(204\) | 77.7616 | + | 1153.23i | 0.0266882 | + | 0.395794i | ||||
\(205\) | 1583.23 | + | 419.216i | 0.539404 | + | 0.142826i | ||||
\(206\) | − | 1949.20i | − | 0.659257i | ||||||
\(207\) | −1100.16 | − | 2628.07i | −0.369404 | − | 0.882432i | ||||
\(208\) | 219.830 | − | 219.830i | 0.0732809 | − | 0.0732809i | ||||
\(209\) | −317.181 | + | 549.374i | −0.104975 | + | 0.181823i | ||||
\(210\) | 212.996 | + | 3025.58i | 0.0699910 | + | 0.994213i | ||||
\(211\) | −2264.65 | − | 3922.50i | −0.738887 | − | 1.27979i | −0.952997 | − | 0.302981i | \(-0.902018\pi\) |
0.214109 | − | 0.976810i | \(-0.431315\pi\) | |||||||
\(212\) | −1224.90 | − | 328.212i | −0.396824 | − | 0.106329i | ||||
\(213\) | −1547.28 | − | 4530.17i | −0.497736 | − | 1.45729i | ||||
\(214\) | −1690.99 | − | 976.293i | −0.540157 | − | 0.311860i | ||||
\(215\) | −3028.99 | + | 5282.35i | −0.960817 | + | 1.67560i | ||||
\(216\) | 3019.49 | − | 618.318i | 0.951160 | − | 0.194774i | ||||
\(217\) | 850.718 | + | 850.718i | 0.266131 | + | 0.266131i | ||||
\(218\) | −791.944 | + | 212.201i | −0.246042 | + | 0.0659268i | ||||
\(219\) | −1209.09 | + | 2463.45i | −0.373072 | + | 0.760111i | ||||
\(220\) | 1491.56 | + | 1482.77i | 0.457096 | + | 0.454403i | ||||
\(221\) | 2039.32 | − | 1177.40i | 0.620721 | − | 0.358373i | ||||
\(222\) | 176.968 | − | 898.494i | 0.0535015 | − | 0.271635i | ||||
\(223\) | 81.6646 | + | 304.776i | 0.0245232 | + | 0.0915217i | 0.977103 | − | 0.212768i | \(-0.0682477\pi\) |
−0.952580 | + | 0.304289i | \(0.901581\pi\) | |||||||
\(224\) | 5826.77 | 1.73803 | ||||||||
\(225\) | 2080.35 | + | 2657.58i | 0.616401 | + | 0.787433i | ||||
\(226\) | 2734.33 | 0.804801 | ||||||||
\(227\) | 1211.60 | + | 4521.76i | 0.354259 | + | 1.32211i | 0.881415 | + | 0.472343i | \(0.156592\pi\) |
−0.527156 | + | 0.849769i | \(0.676742\pi\) | |||||||
\(228\) | 363.931 | + | 317.952i | 0.105710 | + | 0.0923548i | ||||
\(229\) | 3088.47 | − | 1783.13i | 0.891231 | − | 0.514552i | 0.0168860 | − | 0.999857i | \(-0.494625\pi\) |
0.874345 | + | 0.485305i | \(0.161291\pi\) | |||||||
\(230\) | 1387.06 | + | 1378.89i | 0.397653 | + | 0.395310i | ||||
\(231\) | −5848.34 | + | 394.351i | −1.66577 | + | 0.112322i | ||||
\(232\) | 1128.01 | − | 302.250i | 0.319214 | − | 0.0855332i | ||||
\(233\) | −32.0022 | − | 32.0022i | −0.00899801 | − | 0.00899801i | 0.702593 | − | 0.711591i | \(-0.252025\pi\) |
−0.711591 | + | 0.702593i | \(0.752025\pi\) | |||||||
\(234\) | −1522.29 | − | 1968.53i | −0.425278 | − | 0.549944i | ||||
\(235\) | 928.599 | − | 1619.41i | 0.257766 | − | 0.449527i | ||||
\(236\) | 255.166 | + | 147.320i | 0.0703810 | + | 0.0406345i | ||||
\(237\) | 2901.78 | + | 571.538i | 0.795320 | + | 0.156647i | ||||
\(238\) | 2136.07 | + | 572.358i | 0.581768 | + | 0.155884i | ||||
\(239\) | −171.781 | − | 297.534i | −0.0464921 | − | 0.0805267i | 0.841843 | − | 0.539723i | \(-0.181471\pi\) |
−0.888335 | + | 0.459196i | \(0.848138\pi\) | |||||||
\(240\) | 269.244 | − | 181.791i | 0.0724152 | − | 0.0488941i | ||||
\(241\) | −2279.51 | + | 3948.22i | −0.609277 | + | 1.05530i | 0.382082 | + | 0.924128i | \(0.375207\pi\) |
−0.991360 | + | 0.131171i | \(0.958126\pi\) | |||||||
\(242\) | −56.1496 | + | 56.1496i | −0.0149150 | + | 0.0149150i | ||||
\(243\) | 283.226 | + | 3777.39i | 0.0747692 | + | 0.997201i | ||||
\(244\) | − | 1967.09i | − | 0.516106i | ||||||
\(245\) | −7011.80 | − | 1856.62i | −1.82844 | − | 0.484143i | ||||
\(246\) | −1132.81 | − | 556.000i | −0.293600 | − | 0.144103i | ||||
\(247\) | 254.819 | − | 950.996i | 0.0656426 | − | 0.244981i | ||||
\(248\) | −217.220 | + | 810.677i | −0.0556189 | + | 0.207573i | ||||
\(249\) | −1961.85 | + | 1316.20i | −0.499306 | + | 0.334984i | ||||
\(250\) | −2016.67 | − | 1140.61i | −0.510183 | − | 0.288555i | ||||
\(251\) | − | 6166.99i | − | 1.55083i | −0.631455 | − | 0.775413i | \(-0.717542\pi\) | ||
0.631455 | − | 0.775413i | \(-0.282458\pi\) | |||||||
\(252\) | −566.220 | + | 4429.35i | −0.141542 | + | 1.10723i | ||||
\(253\) | −2672.71 | + | 2672.71i | −0.664158 | + | 0.664158i | ||||
\(254\) | 1106.89 | − | 1917.18i | 0.273434 | − | 0.473602i | ||||
\(255\) | 2326.29 | − | 802.226i | 0.571285 | − | 0.197009i | ||||
\(256\) | 1914.90 | + | 3316.70i | 0.467504 | + | 0.809740i | ||||
\(257\) | −5581.97 | − | 1495.68i | −1.35484 | − | 0.363028i | −0.492920 | − | 0.870075i | \(-0.664071\pi\) |
−0.861919 | + | 0.507047i | \(0.830737\pi\) | |||||||
\(258\) | 3086.79 | − | 3533.17i | 0.744865 | − | 0.852580i | ||||
\(259\) | 2899.30 | + | 1673.91i | 0.695575 | + | 0.401590i | ||||
\(260\) | −2831.68 | − | 1623.73i | −0.675435 | − | 0.387306i | ||||
\(261\) | 192.680 | + | 1422.25i | 0.0456957 | + | 0.337300i | ||||
\(262\) | −2003.82 | − | 2003.82i | −0.472505 | − | 0.472505i | ||||
\(263\) | 2387.18 | − | 639.642i | 0.559694 | − | 0.149970i | 0.0321282 | − | 0.999484i | \(-0.489772\pi\) |
0.527566 | + | 0.849514i | \(0.323105\pi\) | |||||||
\(264\) | −2278.13 | − | 3395.64i | −0.531095 | − | 0.791617i | ||||
\(265\) | 7.97705 | + | 2699.72i | 0.00184916 | + | 0.625822i | ||||
\(266\) | 800.723 | − | 462.298i | 0.184570 | − | 0.106561i | ||||
\(267\) | 729.014 | − | 248.995i | 0.167097 | − | 0.0570720i | ||||
\(268\) | 155.922 | + | 581.909i | 0.0355390 | + | 0.132633i | ||||
\(269\) | −5983.06 | −1.35611 | −0.678055 | − | 0.735012i | \(-0.737177\pi\) | ||||
−0.678055 | + | 0.735012i | \(0.737177\pi\) | |||||||
\(270\) | −1170.12 | − | 2322.27i | −0.263744 | − | 0.523440i | ||||
\(271\) | 228.531 | 0.0512260 | 0.0256130 | − | 0.999672i | \(-0.491846\pi\) | ||||
0.0256130 | + | 0.999672i | \(0.491846\pi\) | |||||||
\(272\) | −61.3049 | − | 228.793i | −0.0136660 | − | 0.0510023i | ||||
\(273\) | 8609.05 | − | 2940.42i | 1.90858 | − | 0.651876i | ||||
\(274\) | −2051.22 | + | 1184.28i | −0.452259 | + | 0.261112i | ||||
\(275\) | 2215.82 | − | 3890.84i | 0.485887 | − | 0.853186i | ||||
\(276\) | 1604.23 | + | 2391.17i | 0.349867 | + | 0.521491i | ||||
\(277\) | −3273.32 | + | 877.084i | −0.710017 | + | 0.190249i | −0.595713 | − | 0.803197i | \(-0.703131\pi\) |
−0.114304 | + | 0.993446i | \(0.536464\pi\) | |||||||
\(278\) | −411.700 | − | 411.700i | −0.0888206 | − | 0.0888206i | ||||
\(279\) | −954.436 | − | 391.147i | −0.204805 | − | 0.0839332i | ||||
\(280\) | −2024.07 | − | 7465.63i | −0.432005 | − | 1.59342i | ||||
\(281\) | −7217.53 | − | 4167.04i | −1.53225 | − | 0.884644i | −0.999258 | − | 0.0385220i | \(-0.987735\pi\) |
−0.532990 | − | 0.846122i | \(-0.678932\pi\) | |||||||
\(282\) | −946.317 | + | 1083.16i | −0.199831 | + | 0.228729i | ||||
\(283\) | −8023.23 | − | 2149.82i | −1.68527 | − | 0.451567i | −0.716107 | − | 0.697990i | \(-0.754078\pi\) |
−0.969162 | + | 0.246423i | \(0.920745\pi\) | |||||||
\(284\) | 2419.10 | + | 4190.00i | 0.505447 | + | 0.875461i | ||||
\(285\) | 450.575 | − | 924.918i | 0.0936484 | − | 0.192237i | ||||
\(286\) | −1650.70 | + | 2859.10i | −0.341287 | + | 0.591126i | ||||
\(287\) | 3262.08 | − | 3262.08i | 0.670921 | − | 0.670921i | ||||
\(288\) | −4608.11 | + | 1929.05i | −0.942832 | + | 0.394689i | ||||
\(289\) | 3118.88i | 0.634821i | ||||||||
\(290\) | −495.156 | − | 851.813i | −0.100264 | − | 0.172483i | ||||
\(291\) | 1395.52 | − | 936.254i | 0.281124 | − | 0.188605i | ||||
\(292\) | 717.822 | − | 2678.95i | 0.143861 | − | 0.536896i | ||||
\(293\) | −2384.38 | + | 8898.62i | −0.475416 | + | 1.77428i | 0.144390 | + | 0.989521i | \(0.453878\pi\) |
−0.619806 | + | 0.784755i | \(0.712789\pi\) | |||||||
\(294\) | 5016.99 | + | 2462.40i | 0.995227 | + | 0.488470i | ||||
\(295\) | 160.559 | − | 606.376i | 0.0316885 | − | 0.119677i | ||||
\(296\) | 2335.43i | 0.458594i | ||||||||
\(297\) | 4494.61 | − | 2248.06i | 0.878127 | − | 0.439211i | ||||
\(298\) | −1916.41 | + | 1916.41i | −0.372532 | + | 0.372532i | ||||
\(299\) | 2933.15 | − | 5080.37i | 0.567320 | − | 0.982627i | ||||
\(300\) | −2581.97 | − | 2229.00i | −0.496901 | − | 0.428971i | ||||
\(301\) | 8575.88 | + | 14853.9i | 1.64221 | + | 2.84439i | ||||
\(302\) | 765.273 | + | 205.054i | 0.145816 | + | 0.0390714i | ||||
\(303\) | 1325.21 | + | 261.014i | 0.251258 | + | 0.0494881i | ||||
\(304\) | −85.7651 | − | 49.5165i | −0.0161808 | − | 0.00934199i | ||||
\(305\) | −4041.89 | + | 1095.83i | −0.758814 | + | 0.205729i | ||||
\(306\) | −1878.80 | + | 254.531i | −0.350993 | + | 0.0475509i | ||||
\(307\) | −1803.17 | − | 1803.17i | −0.335219 | − | 0.335219i | 0.519346 | − | 0.854564i | \(-0.326176\pi\) |
−0.854564 | + | 0.519346i | \(0.826176\pi\) | |||||||
\(308\) | 5722.30 | − | 1533.29i | 1.05863 | − | 0.283659i | ||||
\(309\) | −6095.54 | + | 411.020i | −1.12221 | + | 0.0756702i | ||||
\(310\) | 708.091 | − | 2.09224i | 0.129732 | − | 0.000383327i | ||||
\(311\) | −250.629 | + | 144.701i | −0.0456974 | + | 0.0263834i | −0.522675 | − | 0.852532i | \(-0.675066\pi\) |
0.476977 | + | 0.878916i | \(0.341732\pi\) | |||||||
\(312\) | 4779.22 | + | 4175.42i | 0.867213 | + | 0.757649i | ||||
\(313\) | −505.039 | − | 1884.83i | −0.0912028 | − | 0.340373i | 0.905214 | − | 0.424957i | \(-0.139711\pi\) |
−0.996416 | + | 0.0845834i | \(0.973044\pi\) | |||||||
\(314\) | 2863.78 | 0.514690 | ||||||||
\(315\) | 9416.70 | − | 1304.08i | 1.68435 | − | 0.233258i | ||||
\(316\) | −2989.09 | −0.532118 | ||||||||
\(317\) | 1160.15 | + | 4329.75i | 0.205554 | + | 0.767139i | 0.989280 | + | 0.146032i | \(0.0466502\pi\) |
−0.783726 | + | 0.621107i | \(0.786683\pi\) | |||||||
\(318\) | 401.979 | − | 2040.91i | 0.0708864 | − | 0.359901i | ||||
\(319\) | 1649.01 | − | 952.056i | 0.289426 | − | 0.167100i | ||||
\(320\) | 2065.15 | − | 2077.39i | 0.360767 | − | 0.362905i | ||||
\(321\) | −2696.50 | + | 5493.94i | −0.468860 | + | 0.955271i | ||||
\(322\) | 5321.40 | − | 1425.86i | 0.920962 | − | 0.246771i | ||||
\(323\) | −530.418 | − | 530.418i | −0.0913722 | − | 0.0913722i | ||||
\(324\) | −1018.62 | − | 3690.42i | −0.174660 | − | 0.632788i | ||||
\(325\) | −1758.90 | + | 6722.97i | −0.300204 | + | 1.14746i | ||||
\(326\) | −4511.87 | − | 2604.93i | −0.766533 | − | 0.442558i | ||||
\(327\) | 830.590 | + | 2431.83i | 0.140464 | + | 0.411255i | ||||
\(328\) | 3108.54 | + | 832.931i | 0.523294 | + | 0.140216i | ||||
\(329\) | −2629.11 | − | 4553.75i | −0.440570 | − | 0.763089i | ||||
\(330\) | −2262.12 | + | 2604.74i | −0.377351 | + | 0.434504i | ||||
\(331\) | 4301.37 | − | 7450.20i | 0.714274 | − | 1.23716i | −0.248964 | − | 0.968513i | \(-0.580090\pi\) |
0.963239 | − | 0.268647i | \(-0.0865765\pi\) | |||||||
\(332\) | 1688.34 | − | 1688.34i | 0.279096 | − | 0.279096i | ||||
\(333\) | −2847.09 | − | 363.954i | −0.468528 | − | 0.0598936i | ||||
\(334\) | 2798.76i | 0.458506i | ||||||||
\(335\) | 1108.82 | − | 644.555i | 0.180840 | − | 0.105122i | ||||
\(336\) | −61.5638 | − | 913.008i | −0.00999577 | − | 0.148240i | ||||
\(337\) | 1745.21 | − | 6513.21i | 0.282100 | − | 1.05281i | −0.668833 | − | 0.743412i | \(-0.733206\pi\) |
0.950933 | − | 0.309397i | \(-0.100127\pi\) | |||||||
\(338\) | 383.465 | − | 1431.11i | 0.0617093 | − | 0.230302i | ||||
\(339\) | −576.579 | − | 8550.82i | −0.0923760 | − | 1.36996i | ||||
\(340\) | −2150.11 | + | 1249.85i | −0.342959 | + | 0.199361i | ||||
\(341\) | 1368.44i | 0.217317i | ||||||||
\(342\) | −480.202 | + | 630.702i | −0.0759250 | + | 0.0997206i | ||||
\(343\) | −6808.97 | + | 6808.97i | −1.07187 | + | 1.07187i | ||||
\(344\) | −5982.49 | + | 10362.0i | −0.937657 | + | 1.62407i | ||||
\(345\) | 4019.59 | − | 4628.40i | 0.627268 | − | 0.722274i | ||||
\(346\) | −2263.58 | − | 3920.64i | −0.351708 | − | 0.609176i | ||||
\(347\) | 11379.2 | + | 3049.05i | 1.76043 | + | 0.471705i | 0.986801 | − | 0.161938i | \(-0.0517744\pi\) |
0.773626 | + | 0.633643i | \(0.218441\pi\) | |||||||
\(348\) | −468.846 | − | 1372.70i | −0.0722206 | − | 0.211450i | ||||
\(349\) | −6061.28 | − | 3499.48i | −0.929664 | − | 0.536742i | −0.0429588 | − | 0.999077i | \(-0.513678\pi\) |
−0.886705 | + | 0.462335i | \(0.847012\pi\) | |||||||
\(350\) | −5632.40 | + | 3296.40i | −0.860185 | + | 0.503429i | ||||
\(351\) | −5835.00 | + | 5175.60i | −0.887320 | + | 0.787046i | ||||
\(352\) | 4686.39 | + | 4686.39i | 0.709618 | + | 0.709618i | ||||
\(353\) | 6870.23 | − | 1840.87i | 1.03588 | − | 0.277563i | 0.299475 | − | 0.954104i | \(-0.403189\pi\) |
0.736405 | + | 0.676541i | \(0.236522\pi\) | |||||||
\(354\) | −212.947 | + | 433.866i | −0.0319718 | + | 0.0651404i | ||||
\(355\) | 7261.81 | − | 7304.85i | 1.08568 | − | 1.09212i | ||||
\(356\) | −674.273 | + | 389.292i | −0.100383 | + | 0.0579563i | ||||
\(357\) | 1339.46 | − | 6800.62i | 0.198576 | − | 1.00820i | ||||
\(358\) | −207.753 | − | 775.344i | −0.0306706 | − | 0.114464i | ||||
\(359\) | 10744.0 | 1.57951 | 0.789755 | − | 0.613422i | \(-0.210208\pi\) | ||||
0.789755 | + | 0.613422i | \(0.210208\pi\) | |||||||
\(360\) | 4072.36 | + | 5234.10i | 0.596200 | + | 0.766281i | ||||
\(361\) | 6545.37 | 0.954275 | ||||||||
\(362\) | −1137.75 | − | 4246.15i | −0.165190 | − | 0.616498i | ||||
\(363\) | 187.432 | + | 163.751i | 0.0271009 | + | 0.0236769i | ||||
\(364\) | −7962.60 | + | 4597.21i | −1.14658 | + | 0.661976i | ||||
\(365\) | −5904.49 | + | 17.4464i | −0.846726 | + | 0.00250188i | ||||
\(366\) | 3219.36 | − | 217.080i | 0.459777 | − | 0.0310026i | ||||
\(367\) | −1991.06 | + | 533.504i | −0.283195 | + | 0.0758820i | −0.397621 | − | 0.917550i | \(-0.630164\pi\) |
0.114425 | + | 0.993432i | \(0.463497\pi\) | |||||||
\(368\) | −417.248 | − | 417.248i | −0.0591048 | − | 0.0591048i | ||||
\(369\) | −1499.85 | + | 3659.78i | −0.211597 | + | 0.516316i | ||||
\(370\) | 1901.74 | − | 515.597i | 0.267207 | − | 0.0724449i | ||||
\(371\) | 6585.70 | + | 3802.25i | 0.921597 | + | 0.532084i | ||||
\(372\) | 1022.83 | + | 201.458i | 0.142557 | + | 0.0280783i | ||||
\(373\) | 7625.58 | + | 2043.27i | 1.05855 | + | 0.283637i | 0.745779 | − | 0.666193i | \(-0.232077\pi\) |
0.312767 | + | 0.949830i | \(0.398744\pi\) | |||||||
\(374\) | 1257.67 | + | 2178.35i | 0.173884 | + | 0.301176i | ||||
\(375\) | −3141.68 | + | 6547.08i | −0.432629 | + | 0.901572i | ||||
\(376\) | 1834.05 | − | 3176.67i | 0.251553 | − | 0.435703i | ||||
\(377\) | −2089.66 | + | 2089.66i | −0.285472 | + | 0.285472i | ||||
\(378\) | −7311.61 | − | 437.876i | −0.994891 | − | 0.0595818i | ||||
\(379\) | − | 7547.27i | − | 1.02289i | −0.859315 | − | 0.511447i | \(-0.829110\pi\) | ||
0.859315 | − | 0.511447i | \(-0.170890\pi\) | |||||||
\(380\) | −266.153 | + | 1005.17i | −0.0359299 | + | 0.135695i | ||||
\(381\) | −6228.84 | − | 3057.20i | −0.837567 | − | 0.411089i | ||||
\(382\) | 389.018 | − | 1451.83i | 0.0521044 | − | 0.194456i | ||||
\(383\) | −1444.78 | + | 5392.00i | −0.192754 | + | 0.719369i | 0.800082 | + | 0.599890i | \(0.204789\pi\) |
−0.992837 | + | 0.119479i | \(0.961878\pi\) | |||||||
\(384\) | 4512.76 | − | 3027.60i | 0.599715 | − | 0.402348i | ||||
\(385\) | −6338.34 | − | 10903.8i | −0.839043 | − | 1.44340i | ||||
\(386\) | 4500.74i | 0.593475i | ||||||||
\(387\) | −11699.9 | − | 8908.00i | −1.53679 | − | 1.17008i | ||||
\(388\) | −1200.97 | + | 1200.97i | −0.157139 | + | 0.157139i | ||||
\(389\) | −3919.49 | + | 6788.76i | −0.510864 | + | 0.884842i | 0.489057 | + | 0.872252i | \(0.337341\pi\) |
−0.999921 | + | 0.0125902i | \(0.995992\pi\) | |||||||
\(390\) | 2344.92 | − | 4813.54i | 0.304461 | − | 0.624982i | ||||
\(391\) | −2234.77 | − | 3870.74i | −0.289047 | − | 0.500643i | ||||
\(392\) | −13767.1 | − | 3688.87i | −1.77383 | − | 0.475297i | ||||
\(393\) | −5843.81 | + | 6688.89i | −0.750080 | + | 0.858549i | ||||
\(394\) | −1521.18 | − | 878.255i | −0.194508 | − | 0.112299i | ||||
\(395\) | 1665.17 | + | 6141.87i | 0.212111 | + | 0.782356i | ||||
\(396\) | −4017.87 | + | 3107.06i | −0.509863 | + | 0.394283i | ||||
\(397\) | 488.460 | + | 488.460i | 0.0617509 | + | 0.0617509i | 0.737308 | − | 0.675557i | \(-0.236097\pi\) |
−0.675557 | + | 0.737308i | \(0.736097\pi\) | |||||||
\(398\) | 7494.03 | − | 2008.02i | 0.943823 | − | 0.252897i | ||||
\(399\) | −1614.55 | − | 2406.55i | −0.202578 | − | 0.301950i | ||||
\(400\) | 607.415 | + | 345.921i | 0.0759268 | + | 0.0432401i | ||||
\(401\) | 7854.07 | − | 4534.55i | 0.978088 | − | 0.564699i | 0.0763957 | − | 0.997078i | \(-0.475659\pi\) |
0.901692 | + | 0.432378i | \(0.142325\pi\) | |||||||
\(402\) | −935.151 | + | 319.401i | −0.116023 | + | 0.0396275i | ||||
\(403\) | −549.693 | − | 2051.48i | −0.0679458 | − | 0.253577i | ||||
\(404\) | −1365.08 | −0.168107 | ||||||||
\(405\) | −7015.47 | + | 4148.88i | −0.860745 | + | 0.509036i | ||||
\(406\) | −2775.28 | −0.339249 | ||||||||
\(407\) | 985.563 | + | 3678.17i | 0.120031 | + | 0.447961i | ||||
\(408\) | 4575.69 | − | 1562.83i | 0.555222 | − | 0.189636i | ||||
\(409\) | 1057.59 | − | 610.597i | 0.127859 | − | 0.0738193i | −0.434706 | − | 0.900572i | \(-0.643148\pi\) |
0.562565 | + | 0.826753i | \(0.309815\pi\) | |||||||
\(410\) | −8.02270 | − | 2715.17i | −0.000966373 | − | 0.327056i | ||||
\(411\) | 4136.01 | + | 6164.88i | 0.496385 | + | 0.739881i | ||||
\(412\) | 5964.18 | − | 1598.10i | 0.713189 | − | 0.191098i | ||||
\(413\) | −1249.37 | − | 1249.37i | −0.148856 | − | 0.148856i | ||||
\(414\) | −3736.38 | + | 2889.38i | −0.443558 | + | 0.343008i | ||||
\(415\) | −4409.69 | − | 2528.59i | −0.521598 | − | 0.299093i | ||||
\(416\) | −8908.03 | − | 5143.06i | −1.04989 | − | 0.606152i | ||||
\(417\) | −1200.66 | + | 1374.28i | −0.140999 | + | 0.161389i | ||||
\(418\) | 1015.83 | + | 272.191i | 0.118866 | + | 0.0318500i | ||||
\(419\) | −8196.06 | − | 14196.0i | −0.955618 | − | 1.65518i | −0.732948 | − | 0.680285i | \(-0.761856\pi\) |
−0.222670 | − | 0.974894i | \(-0.571477\pi\) | |||||||
\(420\) | −9083.08 | + | 3132.32i | −1.05526 | + | 0.363909i | ||||
\(421\) | −815.167 | + | 1411.91i | −0.0943677 | + | 0.163450i | −0.909345 | − | 0.416044i | \(-0.863416\pi\) |
0.814977 | + | 0.579494i | \(0.196750\pi\) | |||||||
\(422\) | −5309.54 | + | 5309.54i | −0.612475 | + | 0.612475i | ||||
\(423\) | 3586.83 | + | 2730.93i | 0.412287 | + | 0.313906i | ||||
\(424\) | 5304.87i | 0.607611i | ||||||||
\(425\) | 3765.93 | + | 3721.68i | 0.429823 | + | 0.424772i | ||||
\(426\) | −6590.44 | + | 4421.51i | −0.749549 | + | 0.502871i | ||||
\(427\) | −3053.05 | + | 11394.1i | −0.346012 | + | 1.29134i | ||||
\(428\) | 1600.88 | − | 5974.55i | 0.180797 | − | 0.674745i | ||||
\(429\) | 9289.08 | + | 4559.20i | 1.04541 | + | 0.513101i | ||||
\(430\) | 9758.53 | + | 2583.91i | 1.09441 | + | 0.289784i | ||||
\(431\) | − | 9676.25i | − | 1.08141i | −0.841212 | − | 0.540706i | \(-0.818157\pi\) | ||
0.841212 | − | 0.540706i | \(-0.181843\pi\) | |||||||
\(432\) | 350.954 | + | 701.672i | 0.0390863 | + | 0.0781463i | ||||
\(433\) | 6547.86 | − | 6547.86i | 0.726720 | − | 0.726720i | −0.243245 | − | 0.969965i | \(-0.578212\pi\) |
0.969965 | + | 0.243245i | \(0.0782118\pi\) | |||||||
\(434\) | 997.265 | − | 1727.31i | 0.110300 | − | 0.191045i | ||||
\(435\) | −2559.39 | + | 1728.08i | −0.282099 | + | 0.190471i | ||||
\(436\) | −1298.59 | − | 2249.22i | −0.142640 | − | 0.247060i | ||||
\(437\) | −1805.04 | − | 483.660i | −0.197590 | − | 0.0529441i | ||||
\(438\) | 4463.61 | + | 879.158i | 0.486940 | + | 0.0959082i | ||||
\(439\) | 14231.6 | + | 8216.60i | 1.54723 | + | 0.893296i | 0.998352 | + | 0.0573956i | \(0.0182796\pi\) |
0.548882 | + | 0.835900i | \(0.315054\pi\) | |||||||
\(440\) | 4376.57 | − | 7632.43i | 0.474192 | − | 0.826959i | ||||
\(441\) | 6642.53 | − | 16208.4i | 0.717259 | − | 1.75018i | ||||
\(442\) | −2760.45 | − | 2760.45i | −0.297061 | − | 0.297061i | ||||
\(443\) | −6857.35 | + | 1837.42i | −0.735446 | + | 0.197062i | −0.607053 | − | 0.794661i | \(-0.707648\pi\) |
−0.128393 | + | 0.991723i | \(0.540982\pi\) | |||||||
\(444\) | 2894.32 | − | 195.163i | 0.309365 | − | 0.0208604i | ||||
\(445\) | 1175.53 | + | 1168.60i | 0.125226 | + | 0.124488i | ||||
\(446\) | 453.010 | − | 261.546i | 0.0480957 | − | 0.0277680i | ||||
\(447\) | 6397.11 | + | 5588.89i | 0.676896 | + | 0.591377i | ||||
\(448\) | −2135.50 | − | 7969.80i | −0.225207 | − | 0.840486i | ||||
\(449\) | 15813.2 | 1.66207 | 0.831037 | − | 0.556218i | \(-0.187748\pi\) | ||||
0.831037 | + | 0.556218i | \(0.187748\pi\) | |||||||
\(450\) | 3363.07 | − | 4471.67i | 0.352303 | − | 0.468436i | ||||
\(451\) | 5247.29 | 0.547861 | ||||||||
\(452\) | 2241.81 | + | 8366.55i | 0.233287 | + | 0.870640i | ||||
\(453\) | 479.877 | − | 2436.41i | 0.0497717 | − | 0.252698i | ||||
\(454\) | 6721.00 | − | 3880.37i | 0.694785 | − | 0.401134i | ||||
\(455\) | 13882.0 | + | 13800.2i | 1.43033 | + | 1.42190i | ||||
\(456\) | 890.728 | − | 1814.80i | 0.0914741 | − | 0.186373i | ||||
\(457\) | −11690.9 | + | 3132.55i | −1.19666 | + | 0.320645i | −0.801516 | − | 0.597973i | \(-0.795973\pi\) |
−0.395147 | + | 0.918618i | \(0.629306\pi\) | |||||||
\(458\) | −4180.59 | − | 4180.59i | −0.426520 | − | 0.426520i | ||||
\(459\) | 1192.15 | + | 5821.73i | 0.121230 | + | 0.592015i | ||||
\(460\) | −3081.93 | + | 5374.68i | −0.312382 | + | 0.544773i | ||||
\(461\) | 8677.59 | + | 5010.01i | 0.876693 | + | 0.506159i | 0.869567 | − | 0.493816i | \(-0.164398\pi\) |
0.00712658 | + | 0.999975i | \(0.497732\pi\) | |||||||
\(462\) | 3140.88 | + | 9195.97i | 0.316292 | + | 0.926051i | ||||
\(463\) | −8700.34 | − | 2331.25i | −0.873303 | − | 0.234001i | −0.205787 | − | 0.978597i | \(-0.565975\pi\) |
−0.667515 | + | 0.744596i | \(0.732642\pi\) | |||||||
\(464\) | 148.630 | + | 257.434i | 0.0148706 | + | 0.0257566i | ||||
\(465\) | −155.855 | − | 2213.91i | −0.0155433 | − | 0.220790i | ||||
\(466\) | −37.5150 | + | 64.9780i | −0.00372929 | + | 0.00645933i | ||||
\(467\) | −2385.09 | + | 2385.09i | −0.236336 | + | 0.236336i | −0.815331 | − | 0.578995i | \(-0.803445\pi\) |
0.578995 | + | 0.815331i | \(0.303445\pi\) | |||||||
\(468\) | 4775.25 | − | 6271.86i | 0.471659 | − | 0.619481i | ||||
\(469\) | − | 3612.64i | − | 0.355685i | ||||||
\(470\) | −2991.67 | − | 792.149i | −0.293608 | − | 0.0777428i | ||||
\(471\) | −603.875 | − | 8955.64i | −0.0590767 | − | 0.876123i | ||||
\(472\) | 319.011 | − | 1190.57i | 0.0311095 | − | 0.116102i | ||||
\(473\) | −5049.29 | + | 18844.2i | −0.490838 | + | 1.83183i | ||||
\(474\) | −329.864 | − | 4891.98i | −0.0319645 | − | 0.474042i | ||||
\(475\) | 2213.65 | − | 13.0818i | 0.213830 | − | 0.00126365i | ||||
\(476\) | 7005.24i | 0.674547i | ||||||||
\(477\) | −6467.11 | − | 826.714i | −0.620773 | − | 0.0793556i | ||||
\(478\) | −402.746 | + | 402.746i | −0.0385380 | + | 0.0385380i | ||||
\(479\) | −49.6552 | + | 86.0054i | −0.00473654 | + | 0.00820394i | −0.868384 | − | 0.495892i | \(-0.834841\pi\) |
0.863647 | + | 0.504096i | \(0.168174\pi\) | |||||||
\(480\) | −8115.53 | − | 7048.04i | −0.771712 | − | 0.670203i | ||||
\(481\) | −2954.99 | − | 5118.19i | −0.280116 | − | 0.485176i | ||||
\(482\) | 7300.53 | + | 1956.17i | 0.689897 | + | 0.184857i | ||||
\(483\) | −5581.08 | − | 16340.4i | −0.525772 | − | 1.53937i | ||||
\(484\) | −217.843 | − | 125.772i | −0.0204586 | − | 0.0118118i | ||||
\(485\) | 3136.74 | + | 1798.66i | 0.293674 | + | 0.168398i | ||||
\(486\) | 5927.37 | − | 2074.34i | 0.553232 | − | 0.193609i | ||||
\(487\) | −752.120 | − | 752.120i | −0.0699831 | − | 0.0699831i | 0.671249 | − | 0.741232i | \(-0.265758\pi\) |
−0.741232 | + | 0.671249i | \(0.765758\pi\) | |||||||
\(488\) | −7948.48 | + | 2129.79i | −0.737317 | + | 0.197564i | ||||
\(489\) | −7194.76 | + | 14658.9i | −0.665354 | + | 1.35562i | ||||
\(490\) | 35.5308 | + | 12024.9i | 0.00327575 | + | 1.10863i | ||||
\(491\) | −3533.78 | + | 2040.23i | −0.324801 | + | 0.187524i | −0.653531 | − | 0.756900i | \(-0.726713\pi\) |
0.328729 | + | 0.944424i | \(0.393380\pi\) | |||||||
\(492\) | 772.491 | − | 3922.05i | 0.0707857 | − | 0.359390i | ||||
\(493\) | 582.753 | + | 2174.86i | 0.0532371 | + | 0.198684i | ||||
\(494\) | −1632.21 | −0.148657 | ||||||||
\(495\) | 8622.57 | + | 6524.87i | 0.782941 | + | 0.592467i | ||||
\(496\) | −213.633 | −0.0193395 | ||||||||
\(497\) | −7509.19 | − | 28024.7i | −0.677733 | − | 2.52933i | ||||
\(498\) | 2949.48 | + | 2576.84i | 0.265400 | + | 0.231869i | ||||
\(499\) | −4377.28 | + | 2527.22i | −0.392693 | + | 0.226722i | −0.683326 | − | 0.730113i | \(-0.739467\pi\) |
0.290633 | + | 0.956835i | \(0.406134\pi\) | |||||||
\(500\) | 1836.64 | − | 7105.81i | 0.164274 | − | 0.635563i | ||||
\(501\) | 8752.29 | − | 590.163i | 0.780486 | − | 0.0526279i | ||||
\(502\) | −9875.46 | + | 2646.12i | −0.878014 | + | 0.235263i | ||||
\(503\) | −4080.19 | − | 4080.19i | −0.361683 | − | 0.361683i | 0.502749 | − | 0.864432i | \(-0.332322\pi\) |
−0.864432 | + | 0.502749i | \(0.832322\pi\) | |||||||
\(504\) | 18510.9 | − | 2507.77i | 1.63600 | − | 0.221637i | ||||
\(505\) | 760.465 | + | 2804.92i | 0.0670104 | + | 0.247163i | ||||
\(506\) | 5426.73 | + | 3133.12i | 0.476774 | + | 0.275265i | ||||
\(507\) | −4556.24 | − | 897.401i | −0.399112 | − | 0.0786094i | ||||
\(508\) | 6773.74 | + | 1815.02i | 0.591607 | + | 0.158521i | ||||
\(509\) | −3668.96 | − | 6354.83i | −0.319497 | − | 0.553385i | 0.660886 | − | 0.750486i | \(-0.270181\pi\) |
−0.980383 | + | 0.197101i | \(0.936847\pi\) | |||||||
\(510\) | −2282.79 | − | 3380.96i | −0.198204 | − | 0.293552i | ||||
\(511\) | −8315.80 | + | 14403.4i | −0.719901 | + | 1.24691i | ||||
\(512\) | −1426.57 | + | 1426.57i | −0.123137 | + | 0.123137i | ||||
\(513\) | 2073.59 | + | 1368.70i | 0.178463 | + | 0.117796i | ||||
\(514\) | 9580.40i | 0.822127i | ||||||||
\(515\) | −6606.26 | − | 11364.7i | −0.565255 | − | 0.972404i | ||||
\(516\) | 13341.6 | + | 6548.25i | 1.13824 | + | 0.558664i | ||||
\(517\) | 1547.96 | − | 5777.07i | 0.131681 | − | 0.491441i | ||||
\(518\) | 1436.48 | − | 5361.01i | 0.121844 | − | 0.454728i | ||||
\(519\) | −11783.3 | + | 7905.43i | −0.996592 | + | 0.668612i | ||||
\(520\) | −3495.18 | + | 13200.1i | −0.294758 | + | 1.11320i | ||||
\(521\) | − | 4773.62i | − | 0.401412i | −0.979651 | − | 0.200706i | \(-0.935676\pi\) | ||
0.979651 | − | 0.200706i | \(-0.0643237\pi\) | |||||||
\(522\) | 2194.84 | − | 918.804i | 0.184033 | − | 0.0770401i | ||||
\(523\) | 3198.98 | − | 3198.98i | 0.267460 | − | 0.267460i | −0.560616 | − | 0.828076i | \(-0.689436\pi\) |
0.828076 | + | 0.560616i | \(0.189436\pi\) | |||||||
\(524\) | 4488.43 | − | 7774.19i | 0.374195 | − | 0.648124i | ||||
\(525\) | 11496.2 | + | 16918.6i | 0.955688 | + | 1.40645i | ||||
\(526\) | −2048.57 | − | 3548.23i | −0.169813 | − | 0.294125i | ||||
\(527\) | −1563.02 | − | 418.811i | −0.129196 | − | 0.0346180i | ||||
\(528\) | 684.805 | − | 783.835i | 0.0564438 | − | 0.0646061i | ||||
\(529\) | 894.110 | + | 516.215i | 0.0734865 | + | 0.0424274i | ||||
\(530\) | 4319.76 | − | 1171.17i | 0.354034 | − | 0.0959853i | ||||
\(531\) | 1401.69 | + | 574.442i | 0.114554 | + | 0.0469466i | ||||
\(532\) | 2071.04 | + | 2071.04i | 0.168780 | + | 0.168780i | ||||
\(533\) | −7866.40 | + | 2107.80i | −0.639272 | + | 0.171292i | ||||
\(534\) | −711.529 | − | 1060.56i | −0.0576608 | − | 0.0859457i | ||||
\(535\) | −13168.1 | + | 38.9087i | −1.06413 | + | 0.00314424i | ||||
\(536\) | 2182.52 | − | 1260.08i | 0.175878 | − | 0.101543i | ||||
\(537\) | −2380.85 | + | 813.181i | −0.191325 | + | 0.0653470i | ||||
\(538\) | 2567.20 | + | 9580.91i | 0.205724 | + | 0.767774i | ||||
\(539\) | −23239.1 | −1.85711 | ||||||||
\(540\) | 6146.36 | − | 5484.31i | 0.489810 | − | 0.437050i | ||||
\(541\) | −24284.5 | −1.92989 | −0.964945 | − | 0.262452i | \(-0.915469\pi\) | ||||
−0.964945 | + | 0.262452i | \(0.915469\pi\) | |||||||
\(542\) | −98.0575 | − | 365.955i | −0.00777109 | − | 0.0290021i | ||||
\(543\) | −13038.7 | + | 4453.35i | −1.03047 | + | 0.351955i | ||||
\(544\) | −6787.03 | + | 3918.50i | −0.534911 | + | 0.308831i | ||||
\(545\) | −3898.19 | + | 3921.30i | −0.306386 | + | 0.308202i | ||||
\(546\) | −8402.57 | − | 12524.4i | −0.658602 | − | 0.981672i | ||||
\(547\) | −3858.66 | + | 1033.92i | −0.301617 | + | 0.0808180i | −0.406454 | − | 0.913671i | \(-0.633235\pi\) |
0.104837 | + | 0.994489i | \(0.466568\pi\) | |||||||
\(548\) | −5305.41 | − | 5305.41i | −0.413569 | − | 0.413569i | ||||
\(549\) | −1357.71 | − | 10021.8i | −0.105547 | − | 0.779091i | ||||
\(550\) | −7181.31 | − | 1878.81i | −0.556750 | − | 0.145660i | ||||
\(551\) | 815.267 | + | 470.694i | 0.0630336 | + | 0.0363925i | ||||
\(552\) | 7925.17 | − | 9071.23i | 0.611083 | − | 0.699451i | ||||
\(553\) | 17313.9 | + | 4639.26i | 1.33140 | + | 0.356747i | ||||
\(554\) | 2809.02 | + | 4865.37i | 0.215422 | + | 0.373122i | ||||
\(555\) | −2013.39 | − | 5838.41i | −0.153989 | − | 0.446535i | ||||
\(556\) | 922.183 | − | 1597.27i | 0.0703404 | − | 0.121833i | ||||
\(557\) | 12226.1 | − | 12226.1i | 0.930051 | − | 0.930051i | −0.0676576 | − | 0.997709i | \(-0.521553\pi\) |
0.997709 | + | 0.0676576i | \(0.0215526\pi\) | |||||||
\(558\) | −216.833 | + | 1696.21i | −0.0164503 | + | 0.128685i | ||||
\(559\) | − | 30278.3i | − | 2.29094i | ||||||
\(560\) | 1702.24 | − | 989.505i | 0.128451 | − | 0.0746682i | ||||
\(561\) | 6546.95 | − | 4392.34i | 0.492714 | − | 0.330561i | ||||
\(562\) | −3575.97 | + | 13345.7i | −0.268404 | + | 1.00170i | ||||
\(563\) | 3386.78 | − | 12639.6i | 0.253527 | − | 0.946176i | −0.715377 | − | 0.698739i | \(-0.753745\pi\) |
0.968904 | − | 0.247437i | \(-0.0795884\pi\) | |||||||
\(564\) | −4090.15 | − | 2007.50i | −0.305366 | − | 0.149877i | ||||
\(565\) | 15942.4 | − | 9267.25i | 1.18708 | − | 0.690047i | ||||
\(566\) | 13770.4i | 1.02264i | ||||||||
\(567\) | 172.444 | + | 22957.3i | 0.0127724 | + | 1.70038i | ||||
\(568\) | 14311.5 | − | 14311.5i | 1.05721 | − | 1.05721i | ||||
\(569\) | −4163.99 | + | 7212.24i | −0.306790 | + | 0.531376i | −0.977658 | − | 0.210201i | \(-0.932588\pi\) |
0.670868 | + | 0.741577i | \(0.265922\pi\) | |||||||
\(570\) | −1674.44 | − | 324.663i | −0.123043 | − | 0.0238573i | ||||
\(571\) | −4453.29 | − | 7713.32i | −0.326382 | − | 0.565311i | 0.655409 | − | 0.755274i | \(-0.272496\pi\) |
−0.981791 | + | 0.189964i | \(0.939163\pi\) | |||||||
\(572\) | −10101.7 | − | 2706.74i | −0.738414 | − | 0.197857i | ||||
\(573\) | −4622.22 | − | 910.396i | −0.336991 | − | 0.0663741i | ||||
\(574\) | −6623.39 | − | 3824.01i | −0.481629 | − | 0.278068i | ||||
\(575\) | 12760.6 | + | 3338.49i | 0.925483 | + | 0.242130i | ||||
\(576\) | 4327.40 | + | 5595.93i | 0.313035 | + | 0.404798i | ||||
\(577\) | 11134.8 | + | 11134.8i | 0.803374 | + | 0.803374i | 0.983621 | − | 0.180248i | \(-0.0576899\pi\) |
−0.180248 | + | 0.983621i | \(0.557690\pi\) | |||||||
\(578\) | 4994.38 | − | 1338.24i | 0.359410 | − | 0.0963036i | ||||
\(579\) | 14074.7 | − | 949.054i | 1.01023 | − | 0.0681198i | ||||
\(580\) | 2200.43 | − | 2213.47i | 0.157531 | − | 0.158464i | ||||
\(581\) | −12399.9 | + | 7159.11i | −0.885432 | + | 0.511205i | ||||
\(582\) | −2098.05 | − | 1832.98i | −0.149428 | − | 0.130549i | ||||
\(583\) | 2238.68 | + | 8354.89i | 0.159034 | + | 0.593523i | ||||
\(584\) | −11602.1 | −0.822088 | ||||||||
\(585\) | −15547.4 | − | 6318.05i | −1.09881 | − | 0.446529i | ||||
\(586\) | 15272.8 | 1.07664 | ||||||||
\(587\) | 4519.05 | + | 16865.3i | 0.317753 | + | 1.18587i | 0.921399 | + | 0.388618i | \(0.127048\pi\) |
−0.603646 | + | 0.797253i | \(0.706286\pi\) | |||||||
\(588\) | −3421.20 | + | 17369.9i | −0.239945 | + | 1.21824i | ||||
\(589\) | −585.913 | + | 338.277i | −0.0409883 | + | 0.0236646i | ||||
\(590\) | −1039.91 | + | 3.07268i | −0.0725632 | + | 0.000214407i | ||||
\(591\) | −2425.72 | + | 4942.25i | −0.168834 | + | 0.343988i | ||||
\(592\) | −574.215 | + | 153.860i | −0.0398650 | + | 0.0106818i | ||||
\(593\) | −4464.48 | − | 4464.48i | −0.309164 | − | 0.309164i | 0.535421 | − | 0.844585i | \(-0.320153\pi\) |
−0.844585 | + | 0.535421i | \(0.820153\pi\) | |||||||
\(594\) | −5528.45 | − | 6232.81i | −0.381877 | − | 0.430531i | ||||
\(595\) | 14394.1 | − | 3902.50i | 0.991765 | − | 0.268886i | ||||
\(596\) | −7435.06 | − | 4292.63i | −0.510993 | − | 0.295022i | ||||
\(597\) | −7859.73 | − | 23011.9i | −0.538823 | − | 1.57758i | ||||
\(598\) | −9393.96 | − | 2517.10i | −0.642387 | − | 0.172127i | ||||
\(599\) | 7836.14 | + | 13572.6i | 0.534517 | + | 0.925811i | 0.999187 | + | 0.0403269i | \(0.0128399\pi\) |
−0.464669 | + | 0.885484i | \(0.653827\pi\) | |||||||
\(600\) | −6211.26 | + | 12846.4i | −0.422623 | + | 0.874089i | ||||
\(601\) | −3405.59 | + | 5898.65i | −0.231143 | + | 0.400351i | −0.958145 | − | 0.286284i | \(-0.907580\pi\) |
0.727002 | + | 0.686635i | \(0.240913\pi\) | |||||||
\(602\) | 20106.4 | − | 20106.4i | 1.36125 | − | 1.36125i | ||||
\(603\) | 1196.02 | + | 2857.06i | 0.0807726 | + | 0.192949i | ||||
\(604\) | 2509.71i | 0.169071i | ||||||||
\(605\) | −137.074 | + | 517.681i | −0.00921133 | + | 0.0347880i | ||||
\(606\) | −150.645 | − | 2234.11i | −0.0100982 | − | 0.149760i | ||||
\(607\) | 223.118 | − | 832.687i | 0.0149194 | − | 0.0556800i | −0.958065 | − | 0.286552i | \(-0.907491\pi\) |
0.972984 | + | 0.230872i | \(0.0741577\pi\) | |||||||
\(608\) | −848.059 | + | 3165.00i | −0.0565680 | + | 0.211115i | ||||
\(609\) | 585.214 | + | 8678.89i | 0.0389393 | + | 0.577481i | ||||
\(610\) | 3489.09 | + | 6002.25i | 0.231589 | + | 0.398400i | ||||
\(611\) | 9282.42i | 0.614610i | ||||||||
\(612\) | −2319.20 | − | 5540.10i | −0.153183 | − | 0.365924i | ||||
\(613\) | 2254.58 | − | 2254.58i | 0.148551 | − | 0.148551i | −0.628920 | − | 0.777470i | \(-0.716503\pi\) |
0.777470 | + | 0.628920i | \(0.216503\pi\) | |||||||
\(614\) | −2113.79 | + | 3661.18i | −0.138934 | + | 0.240641i | ||||
\(615\) | −8489.22 | + | 597.627i | −0.556615 | + | 0.0391848i | ||||
\(616\) | −12391.2 | − | 21462.2i | −0.810481 | − | 1.40379i | ||||
\(617\) | 21865.6 | + | 5858.87i | 1.42670 | + | 0.382284i | 0.887857 | − | 0.460120i | \(-0.152194\pi\) |
0.538847 | + | 0.842404i | \(0.318860\pi\) | |||||||
\(618\) | 3273.65 | + | 9584.68i | 0.213083 | + | 0.623871i | ||||
\(619\) | 4224.11 | + | 2438.79i | 0.274283 | + | 0.158357i | 0.630832 | − | 0.775919i | \(-0.282714\pi\) |
−0.356549 | + | 0.934276i | \(0.616047\pi\) | |||||||
\(620\) | 586.948 | + | 2164.91i | 0.0380200 | + | 0.140234i | ||||
\(621\) | 9823.58 | + | 11075.2i | 0.634793 | + | 0.715669i | ||||
\(622\) | 339.255 | + | 339.255i | 0.0218696 | + | 0.0218696i | ||||
\(623\) | 4509.86 | − | 1208.41i | 0.290022 | − | 0.0777111i | ||||
\(624\) | −711.756 | + | 1450.16i | −0.0456619 | + | 0.0930332i | ||||
\(625\) | −15623.9 | + | 184.668i | −0.999930 | + | 0.0118188i | ||||
\(626\) | −2801.55 | + | 1617.48i | −0.178870 | + | 0.103271i | ||||
\(627\) | 636.993 | − | 3234.11i | 0.0405727 | − | 0.205993i | ||||
\(628\) | 2347.94 | + | 8762.64i | 0.149193 | + | 0.556795i | ||||
\(629\) | −4502.81 | −0.285436 | ||||||||
\(630\) | −6128.77 | − | 14519.8i | −0.387581 | − | 0.918226i | ||||
\(631\) | 3038.06 | 0.191669 | 0.0958346 | − | 0.995397i | \(-0.469448\pi\) | ||||
0.0958346 | + | 0.995397i | \(0.469448\pi\) | |||||||
\(632\) | 3236.32 | + | 12078.1i | 0.203693 | + | 0.760193i | ||||
\(633\) | 17723.6 | + | 15484.4i | 1.11288 | + | 0.972276i | ||||
\(634\) | 6435.61 | − | 3715.60i | 0.403140 | − | 0.232753i | ||||
\(635\) | −44.1133 | − | 14929.5i | −0.00275682 | − | 0.933009i | ||||
\(636\) | 6574.38 | − | 443.308i | 0.409891 | − | 0.0276388i | ||||
\(637\) | 34838.6 | − | 9334.98i | 2.16696 | − | 0.580636i | ||||
\(638\) | −2232.12 | − | 2232.12i | −0.138512 | − | 0.138512i | ||||
\(639\) | 15216.7 | + | 19677.3i | 0.942039 | + | 1.21819i | ||||
\(640\) | 10143.4 | + | 5816.40i | 0.626489 | + | 0.359240i | ||||
\(641\) | 18662.9 | + | 10775.1i | 1.14999 | + | 0.663946i | 0.948884 | − | 0.315624i | \(-0.102214\pi\) |
0.201104 | + | 0.979570i | \(0.435547\pi\) | |||||||
\(642\) | 9954.69 | + | 1960.68i | 0.611963 | + | 0.120533i | ||||
\(643\) | −8185.22 | − | 2193.22i | −0.502012 | − | 0.134514i | −0.00107824 | − | 0.999999i | \(-0.500343\pi\) |
−0.500933 | + | 0.865486i | \(0.667010\pi\) | |||||||
\(644\) | 8725.76 | + | 15113.5i | 0.533918 | + | 0.924773i | ||||
\(645\) | 6022.68 | − | 31061.8i | 0.367663 | − | 1.89621i | ||||
\(646\) | −621.789 | + | 1076.97i | −0.0378699 | + | 0.0655926i | ||||
\(647\) | −23205.8 | + | 23205.8i | −1.41007 | + | 1.41007i | −0.650953 | + | 0.759118i | \(0.725630\pi\) |
−0.759118 | + | 0.650953i | \(0.774370\pi\) | |||||||
\(648\) | −13809.1 | + | 8111.62i | −0.837152 | + | 0.491751i | ||||
\(649\) | − | 2009.70i | − | 0.121553i | ||||||
\(650\) | 11520.5 | − | 68.0812i | 0.695185 | − | 0.00410825i | ||||
\(651\) | −5611.96 | − | 2754.42i | −0.337865 | − | 0.165829i | ||||
\(652\) | 4271.44 | − | 15941.2i | 0.256568 | − | 0.957525i | ||||
\(653\) | 6103.35 | − | 22778.0i | 0.365762 | − | 1.36504i | −0.500623 | − | 0.865666i | \(-0.666896\pi\) |
0.866385 | − | 0.499377i | \(-0.166438\pi\) | |||||||
\(654\) | 3537.79 | − | 2373.50i | 0.211527 | − | 0.141913i | ||||
\(655\) | −18474.5 | − | 4891.78i | −1.10208 | − | 0.291813i | ||||
\(656\) | 819.176i | 0.0487553i | ||||||||
\(657\) | 1808.08 | − | 14144.0i | 0.107367 | − | 0.839895i | ||||
\(658\) | −6164.01 | + | 6164.01i | −0.365195 | + | 0.365195i | ||||
\(659\) | 11587.9 | − | 20070.8i | 0.684976 | − | 1.18641i | −0.288469 | − | 0.957489i | \(-0.593146\pi\) |
0.973444 | − | 0.228923i | \(-0.0735205\pi\) | |||||||
\(660\) | −9824.68 | − | 4786.11i | −0.579432 | − | 0.282271i | ||||
\(661\) | 7538.30 | + | 13056.7i | 0.443580 | + | 0.768302i | 0.997952 | − | 0.0639664i | \(-0.0203750\pi\) |
−0.554373 | + | 0.832269i | \(0.687042\pi\) | |||||||
\(662\) | −13775.9 | − | 3691.25i | −0.808787 | − | 0.216714i | ||||
\(663\) | −8050.40 | + | 9214.58i | −0.471571 | + | 0.539765i | ||||
\(664\) | −8650.14 | − | 4994.16i | −0.505558 | − | 0.291884i | ||||
\(665\) | 3101.75 | − | 5409.23i | 0.180873 | − | 0.315430i | ||||
\(666\) | 638.811 | + | 4715.33i | 0.0371673 | + | 0.274348i | ||||
\(667\) | 3966.29 | + | 3966.29i | 0.230248 | + | 0.230248i | ||||
\(668\) | −8563.67 | + | 2294.63i | −0.496016 | + | 0.132907i | ||||
\(669\) | −913.432 | − | 1361.51i | −0.0527882 | − | 0.0786829i | ||||
\(670\) | −1507.92 | − | 1499.04i | −0.0869495 | − | 0.0864372i | ||||
\(671\) | −11619.7 | + | 6708.61i | −0.668512 | + | 0.385966i | ||||
\(672\) | −28651.7 | + | 9785.98i | −1.64474 | + | 0.561760i | ||||
\(673\) | −3781.35 | − | 14112.2i | −0.216583 | − | 0.808298i | −0.985603 | − | 0.169074i | \(-0.945922\pi\) |
0.769021 | − | 0.639224i | \(-0.220744\pi\) | |||||||
\(674\) | −11178.7 | −0.638853 | ||||||||
\(675\) | −14693.0 | − | 9574.08i | −0.837827 | − | 0.545936i | ||||
\(676\) | 4693.32 | 0.267030 | ||||||||
\(677\) | −2647.83 | − | 9881.83i | −0.150317 | − | 0.560989i | −0.999461 | − | 0.0328285i | \(-0.989548\pi\) |
0.849144 | − | 0.528161i | \(-0.177118\pi\) | |||||||
\(678\) | −13445.4 | + | 4592.27i | −0.761603 | + | 0.260125i | ||||
\(679\) | 8820.44 | − | 5092.48i | 0.498523 | − | 0.287823i | ||||
\(680\) | 7378.26 | + | 7334.79i | 0.416093 | + | 0.413642i | ||||
\(681\) | −13552.0 | − | 20199.7i | −0.762573 | − | 1.13665i | ||||
\(682\) | 2191.34 | − | 587.168i | 0.123036 | − | 0.0329675i | ||||
\(683\) | 21858.2 | + | 21858.2i | 1.22457 | + | 1.22457i | 0.965990 | + | 0.258579i | \(0.0832541\pi\) |
0.258579 | + | 0.965990i | \(0.416746\pi\) | |||||||
\(684\) | −2323.54 | − | 952.232i | −0.129887 | − | 0.0532303i | ||||
\(685\) | −7945.79 | + | 13856.9i | −0.443202 | + | 0.772913i | ||||
\(686\) | 13825.1 | + | 7981.91i | 0.769451 | + | 0.444243i | ||||
\(687\) | −12192.0 | + | 13955.1i | −0.677082 | + | 0.774995i | ||||
\(688\) | −2941.85 | − | 788.266i | −0.163019 | − | 0.0436807i | ||||
\(689\) | −6712.19 | − | 11625.9i | −0.371138 | − | 0.642830i | ||||
\(690\) | −9136.36 | − | 4450.79i | −0.504080 | − | 0.245564i | ||||
\(691\) | 7416.99 | − | 12846.6i | 0.408329 | − | 0.707247i | −0.586373 | − | 0.810041i | \(-0.699445\pi\) |
0.994703 | + | 0.102794i | \(0.0327782\pi\) | |||||||
\(692\) | 10140.6 | − | 10140.6i | 0.557062 | − | 0.557062i | ||||
\(693\) | 28095.4 | − | 11761.3i | 1.54005 | − | 0.644698i | ||||
\(694\) | − | 19530.3i | − | 1.06824i | ||||||
\(695\) | −3795.74 | − | 1005.05i | −0.207166 | − | 0.0548545i | ||||
\(696\) | −5039.10 | + | 3380.72i | −0.274435 | + | 0.184118i | ||||
\(697\) | −1605.93 | + | 5993.42i | −0.0872725 | + | 0.325706i | ||||
\(698\) | −3003.10 | + | 11207.7i | −0.162850 | + | 0.607763i | ||||
\(699\) | 211.110 | + | 103.616i | 0.0114233 | + | 0.00560673i | ||||
\(700\) | −14704.2 | − | 14531.5i | −0.793955 | − | 0.784626i | ||||
\(701\) | 29266.1i | 1.57684i | 0.615136 | + | 0.788421i | \(0.289101\pi\) | ||||
−0.615136 | + | 0.788421i | \(0.710899\pi\) | |||||||
\(702\) | 10791.6 | + | 7123.09i | 0.580202 | + | 0.382968i | ||||
\(703\) | −1331.22 | + | 1331.22i | −0.0714195 | + | 0.0714195i | ||||
\(704\) | 4692.44 | − | 8127.55i | 0.251212 | − | 0.435112i | ||||
\(705\) | −1846.37 | + | 9522.62i | −0.0986360 | + | 0.508713i | ||||
\(706\) | −5895.73 | − | 10211.7i | −0.314290 | − | 0.544366i | ||||
\(707\) | 7907.07 | + | 2118.69i | 0.420617 | + | 0.112704i | ||||
\(708\) | −1502.14 | − | 295.863i | −0.0797371 | − | 0.0157051i | ||||
\(709\) | 10569.7 | + | 6102.42i | 0.559878 | + | 0.323246i | 0.753096 | − | 0.657910i | \(-0.228559\pi\) |
−0.193219 | + | 0.981156i | \(0.561893\pi\) | |||||||
\(710\) | −14813.4 | − | 8494.29i | −0.783012 | − | 0.448993i | ||||
\(711\) | −15228.7 | + | 2063.11i | −0.803262 | + | 0.108822i | ||||
\(712\) | 2303.07 | + | 2303.07i | 0.121224 | + | 0.121224i | ||||
\(713\) | −3893.82 | + | 1043.35i | −0.204523 | + | 0.0548017i | ||||
\(714\) | −11464.8 | + | 773.070i | −0.600926 | + | 0.0405202i | ||||
\(715\) | 65.7862 | + | 22264.4i | 0.00344093 | + | 1.16454i | ||||
\(716\) | 2202.08 | − | 1271.37i | 0.114938 | − | 0.0663595i | ||||
\(717\) | 1344.40 | + | 1174.54i | 0.0700243 | + | 0.0611774i | ||||
\(718\) | −4609.99 | − | 17204.7i | −0.239615 | − | 0.894255i | ||||
\(719\) | −12947.9 | −0.671592 | −0.335796 | − | 0.941935i | \(-0.609005\pi\) | ||||
−0.335796 | + | 0.941935i | \(0.609005\pi\) | |||||||
\(720\) | −1018.62 | + | 1346.11i | −0.0527249 | + | 0.0696755i | ||||
\(721\) | −37027.2 | −1.91257 | ||||||||
\(722\) | −2808.48 | − | 10481.4i | −0.144765 | − | 0.540272i | ||||
\(723\) | 4577.92 | − | 23242.8i | 0.235484 | − | 1.19559i | ||||
\(724\) | 12059.6 | − | 6962.62i | 0.619049 | − | 0.357408i | ||||
\(725\) | −5773.97 | − | 3288.26i | −0.295779 | − | 0.168445i | ||||
\(726\) | 181.799 | − | 370.404i | 0.00929367 | − | 0.0189352i | ||||
\(727\) | 3951.09 | − | 1058.69i | 0.201565 | − | 0.0540091i | −0.156624 | − | 0.987658i | \(-0.550061\pi\) |
0.358189 | + | 0.933649i | \(0.383394\pi\) | |||||||
\(728\) | 27197.3 | + | 27197.3i | 1.38462 | + | 1.38462i | ||||
\(729\) | −7736.76 | − | 18098.7i | −0.393068 | − | 0.919509i | ||||
\(730\) | 2561.42 | + | 9447.62i | 0.129867 | + | 0.479003i | ||||
\(731\) | −19978.4 | − | 11534.5i | −1.01084 | − | 0.583611i | ||||
\(732\) | 3303.69 | + | 9672.66i | 0.166814 | + | 0.488404i | ||||
\(733\) | −8630.30 | − | 2312.48i | −0.434881 | − | 0.116526i | 0.0347357 | − | 0.999397i | \(-0.488941\pi\) |
−0.469616 | + | 0.882871i | \(0.655608\pi\) | |||||||
\(734\) | 1708.64 | + | 2959.46i | 0.0859226 | + | 0.148822i | ||||
\(735\) | 37596.9 | − | 2646.76i | 1.88678 | − | 0.132826i | ||||
\(736\) | −9761.80 | + | 16907.9i | −0.488892 | + | 0.846786i | ||||
\(737\) | 2905.60 | − | 2905.60i | 0.145223 | − | 0.145223i | ||||
\(738\) | 6504.12 | + | 831.445i | 0.324417 | + | 0.0414714i | ||||
\(739\) | 10810.9i | 0.538140i | 0.963121 | + | 0.269070i | \(0.0867163\pi\) | ||||
−0.963121 | + | 0.269070i | \(0.913284\pi\) | |||||||
\(740\) | 3136.82 | + | 5396.24i | 0.155827 | + | 0.268067i | ||||
\(741\) | 344.177 | + | 5104.25i | 0.0170630 | + | 0.253049i | ||||
\(742\) | 3262.93 | − | 12177.4i | 0.161436 | − | 0.602489i | ||||
\(743\) | 3801.46 | − | 14187.3i | 0.187701 | − | 0.700511i | −0.806335 | − | 0.591460i | \(-0.798552\pi\) |
0.994036 | − | 0.109052i | \(-0.0347814\pi\) | |||||||
\(744\) | −293.394 | − | 4351.12i | −0.0144575 | − | 0.214408i | ||||
\(745\) | −4678.39 | + | 17668.6i | −0.230071 | + | 0.868898i | ||||
\(746\) | − | 13087.9i | − | 0.642334i | ||||||
\(747\) | 7436.37 | − | 9767.00i | 0.364234 | − | 0.478388i | ||||
\(748\) | −5634.21 | + | 5634.21i | −0.275411 | + | 0.275411i | ||||
\(749\) | −18545.8 | + | 32122.2i | −0.904737 | + | 1.56705i | ||||
\(750\) | 11832.1 | + | 2221.70i | 0.576064 | + | 0.108167i | ||||
\(751\) | 10459.1 | + | 18115.7i | 0.508201 | + | 0.880229i | 0.999955 | + | 0.00949541i | \(0.00302253\pi\) |
−0.491754 | + | 0.870734i | \(0.663644\pi\) | |||||||
\(752\) | 901.883 | + | 241.659i | 0.0437344 | + | 0.0117186i | ||||
\(753\) | 10357.4 | + | 30324.6i | 0.501253 | + | 1.46758i | ||||
\(754\) | 4242.88 | + | 2449.63i | 0.204929 | + | 0.118316i | ||||
\(755\) | 5156.86 | − | 1398.12i | 0.248579 | − | 0.0673945i | ||||
\(756\) | −4654.79 | − | 22731.2i | −0.223933 | − | 1.09355i | ||||
\(757\) | −18342.1 | − | 18342.1i | −0.880653 | − | 0.880653i | 0.112948 | − | 0.993601i | \(-0.463971\pi\) |
−0.993601 | + | 0.112948i | \(0.963971\pi\) | |||||||
\(758\) | −12085.7 | + | 3238.37i | −0.579121 | + | 0.155175i | ||||
\(759\) | 8653.61 | − | 17631.2i | 0.413842 | − | 0.843177i | ||||
\(760\) | 4349.79 | − | 12.8526i | 0.207610 | − | 0.000613438i | ||||
\(761\) | 9287.39 | − | 5362.08i | 0.442402 | − | 0.255421i | −0.262214 | − | 0.965010i | \(-0.584453\pi\) |
0.704616 | + | 0.709589i | \(0.251119\pi\) | |||||||
\(762\) | −2222.96 | + | 11286.3i | −0.105681 | + | 0.536560i | ||||
\(763\) | 4030.99 | + | 15043.9i | 0.191260 | + | 0.713793i | ||||
\(764\) | 4761.29 | 0.225468 | ||||||||
\(765\) | −10091.6 | + | 7851.70i | −0.476944 | + | 0.371084i | ||||
\(766\) | 9254.36 | 0.436519 | ||||||||
\(767\) | 807.283 | + | 3012.82i | 0.0380043 | + | 0.141834i | ||||
\(768\) | −14986.4 | − | 13093.0i | −0.704132 | − | 0.615172i | ||||
\(769\) | −19273.4 | + | 11127.5i | −0.903793 | + | 0.521805i | −0.878429 | − | 0.477873i | \(-0.841408\pi\) |
−0.0253640 | + | 0.999678i | \(0.508074\pi\) | |||||||
\(770\) | −14741.1 | + | 14828.4i | −0.689910 | + | 0.693999i | ||||
\(771\) | 29959.9 | − | 2020.18i | 1.39945 | − | 0.0943647i | ||||
\(772\) | −13771.4 | + | 3690.04i | −0.642026 | + | 0.172030i | ||||
\(773\) | −20786.4 | − | 20786.4i | −0.967184 | − | 0.967184i | 0.0322943 | − | 0.999478i | \(-0.489719\pi\) |
−0.999478 | + | 0.0322943i | \(0.989719\pi\) | |||||||
\(774\) | −9244.60 | + | 22557.7i | −0.429316 | + | 1.04757i | ||||
\(775\) | 4121.40 | − | 2412.08i | 0.191026 | − | 0.111799i | ||||
\(776\) | 6153.09 | + | 3552.49i | 0.284643 | + | 0.164339i | ||||
\(777\) | −17067.9 | − | 3361.71i | −0.788040 | − | 0.155213i | ||||
\(778\) | 12552.9 | + | 3363.53i | 0.578461 | + | 0.154998i | ||||
\(779\) | 1297.12 | + | 2246.68i | 0.0596589 | + | 0.103332i | ||||
\(780\) | 16651.1 | + | 3228.53i | 0.764365 | + | 0.148205i | ||||
\(781\) | 16500.3 | − | 28579.4i | 0.755990 | − | 1.30941i | ||||
\(782\) | −5239.48 | + | 5239.48i | −0.239595 | + | 0.239595i | ||||
\(783\) | −3336.11 | − | 6669.96i | −0.152264 | − | 0.304425i | ||||
\(784\) | − | 3627.96i | − | 0.165268i | ||||||
\(785\) | 16697.1 | − | 9705.99i | 0.759167 | − | 0.441301i | ||||
\(786\) | 13218.6 | + | 6487.88i | 0.599864 | + | 0.294421i | ||||
\(787\) | −4496.33 | + | 16780.5i | −0.203656 | + | 0.760053i | 0.786200 | + | 0.617973i | \(0.212046\pi\) |
−0.989855 | + | 0.142080i | \(0.954621\pi\) | |||||||
\(788\) | 1440.12 | − | 5374.60i | 0.0651042 | − | 0.242972i | ||||
\(789\) | −10664.1 | + | 7154.50i | −0.481180 | + | 0.322823i | ||||
\(790\) | 9120.73 | − | 5301.85i | 0.410761 | − | 0.238774i | ||||
\(791\) | − | 51941.7i | − | 2.33481i | ||||||
\(792\) | 16905.0 | + | 12871.1i | 0.758452 | + | 0.577468i | ||||
\(793\) | 14724.7 | − | 14724.7i | 0.659379 | − | 0.659379i | ||||
\(794\) | 572.604 | − | 991.779i | 0.0255931 | − | 0.0443286i | ||||
\(795\) | −4573.37 | − | 13261.8i | −0.204026 | − | 0.591633i | ||||
\(796\) | 12288.3 | + | 21284.0i | 0.547171 | + | 0.947728i | ||||
\(797\) | 22854.4 | + | 6123.82i | 1.01574 | + | 0.272167i | 0.728026 | − | 0.685550i | \(-0.240438\pi\) |
0.287714 | + | 0.957716i | \(0.407105\pi\) | |||||||
\(798\) | −3160.93 | + | 3618.04i | −0.140220 | + | 0.160498i | ||||
\(799\) | 6124.78 | + | 3536.14i | 0.271188 | + | 0.156570i | ||||
\(800\) | 5853.78 | − | 22374.7i | 0.258703 | − | 0.988830i | ||||
\(801\) | −3166.56 | + | 2448.74i | −0.139682 | + | 0.108017i | ||||
\(802\) | −10631.4 | − | 10631.4i | −0.468088 | − | 0.468088i | ||||
\(803\) | −18272.7 | + | 4896.16i | −0.803027 | + | 0.215170i | ||||
\(804\) | −1744.01 | − | 2599.52i | −0.0765008 | − | 0.114027i | ||||
\(805\) | 26193.6 | − | 26348.8i | 1.14683 | − | 1.15363i | ||||
\(806\) | −3049.26 | + | 1760.49i | −0.133258 | + | 0.0769363i | ||||
\(807\) | 29420.2 | − | 10048.5i | 1.28332 | − | 0.438318i | ||||
\(808\) | 1477.99 | + | 5515.93i | 0.0643509 | + | 0.240161i | ||||
\(809\) | 30629.1 | 1.33110 | 0.665552 | − | 0.746352i | \(-0.268196\pi\) | ||||
0.665552 | + | 0.746352i | \(0.268196\pi\) | |||||||
\(810\) | 9653.97 | + | 9453.97i | 0.418773 | + | 0.410097i | ||||
\(811\) | 16552.9 | 0.716709 | 0.358354 | − | 0.933586i | \(-0.383338\pi\) | ||||
0.358354 | + | 0.933586i | \(0.383338\pi\) | |||||||
\(812\) | −2275.38 | − | 8491.85i | −0.0983379 | − | 0.367002i | ||||
\(813\) | −1123.74 | + | 383.814i | −0.0484764 | + | 0.0165571i | ||||
\(814\) | 5467.13 | − | 3156.45i | 0.235409 | − | 0.135913i | ||||
\(815\) | −35135.0 | + | 103.816i | −1.51009 | + | 0.00446196i | ||||
\(816\) | 685.706 | + | 1022.07i | 0.0294173 | + | 0.0438476i | ||||
\(817\) | −9316.53 | + | 2496.36i | −0.398952 | + | 0.106899i | ||||
\(818\) | −1431.56 | − | 1431.56i | −0.0611899 | − | 0.0611899i | ||||
\(819\) | −37394.4 | + | 28917.5i | −1.59544 | + | 1.23377i | ||||
\(820\) | 8301.35 | − | 2250.65i | 0.353531 | − | 0.0958489i | ||||
\(821\) | −12828.3 | − | 7406.41i | −0.545323 | − | 0.314842i | 0.201910 | − | 0.979404i | \(-0.435285\pi\) |
−0.747234 | + | 0.664562i | \(0.768618\pi\) | |||||||
\(822\) | 8097.41 | − | 9268.38i | 0.343588 | − | 0.393275i | ||||
\(823\) | 5249.91 | + | 1406.71i | 0.222358 | + | 0.0595806i | 0.368278 | − | 0.929716i | \(-0.379948\pi\) |
−0.145920 | + | 0.989296i | \(0.546614\pi\) | |||||||
\(824\) | −12915.0 | − | 22369.4i | −0.546013 | − | 0.945722i | ||||
\(825\) | −4361.14 | + | 22853.6i | −0.184043 | + | 0.964438i | ||||
\(826\) | −1464.59 | + | 2536.75i | −0.0616945 | + | 0.106858i | ||||
\(827\) | −9704.44 | + | 9704.44i | −0.408049 | + | 0.408049i | −0.881058 | − | 0.473009i | \(-0.843168\pi\) |
0.473009 | + | 0.881058i | \(0.343168\pi\) | |||||||
\(828\) | −11904.3 | − | 9063.69i | −0.499643 | − | 0.380417i | ||||
\(829\) | 44654.1i | 1.87081i | 0.353581 | + | 0.935404i | \(0.384964\pi\) | ||||
−0.353581 | + | 0.935404i | \(0.615036\pi\) | |||||||
\(830\) | −2157.04 | + | 8146.38i | −0.0902071 | + | 0.340681i | ||||
\(831\) | 14622.7 | − | 9810.33i | 0.610415 | − | 0.409527i | ||||
\(832\) | −3769.84 | + | 14069.2i | −0.157086 | + | 0.586253i | ||||
\(833\) | 7112.33 | − | 26543.6i | 0.295831 | − | 1.10406i | ||||
\(834\) | 2715.87 | + | 1332.99i | 0.112761 | + | 0.0553448i | ||||
\(835\) | 9485.60 | + | 16318.0i | 0.393129 | + | 0.676297i | ||||
\(836\) | 3331.42i | 0.137822i | ||||||||
\(837\) | 5350.12 | + | 320.407i | 0.220941 | + | 0.0132316i | ||||
\(838\) | −19215.9 | + | 19215.9i | −0.792126 | + | 0.792126i | ||||
\(839\) | 7021.07 | − | 12160.9i | 0.288909 | − | 0.500404i | −0.684641 | − | 0.728880i | \(-0.740041\pi\) |
0.973549 | + | 0.228476i | \(0.0733743\pi\) | |||||||
\(840\) | 22491.3 | + | 33310.9i | 0.923836 | + | 1.36826i | ||||
\(841\) | 10781.7 | + | 18674.4i | 0.442070 | + | 0.765688i | ||||
\(842\) | 2610.72 | + | 699.541i | 0.106854 | + | 0.0286316i | ||||
\(843\) | 42488.9 | + | 8368.65i | 1.73594 | + | 0.341912i | ||||
\(844\) | −20599.4 | − | 11893.1i | −0.840118 | − | 0.485042i | ||||
\(845\) | −2614.58 | − | 9643.66i | −0.106443 | − | 0.392606i | ||||
\(846\) | 2834.12 | − | 6915.52i | 0.115176 | − | 0.281041i | ||||
\(847\) | 1066.63 | + | 1066.63i | 0.0432700 | + | 0.0432700i | ||||
\(848\) | −1304.32 | + | 349.491i | −0.0528189 | + | 0.0141528i | ||||
\(849\) | 43062.8 | − | 2903.71i | 1.74077 | − | 0.117379i | ||||
\(850\) | 4343.81 | − | 7627.44i | 0.175284 | − | 0.307787i | ||||
\(851\) | −9714.61 | + | 5608.73i | −0.391319 | + | 0.225928i | ||||
\(852\) | −18932.4 | − | 16540.4i | −0.761281 | − | 0.665101i | ||||
\(853\) | −2278.33 | − | 8502.85i | −0.0914521 | − | 0.341304i | 0.905006 | − | 0.425400i | \(-0.139866\pi\) |
−0.996458 | + | 0.0840959i | \(0.973200\pi\) | |||||||
\(854\) | 19555.9 | 0.783593 | ||||||||
\(855\) | −662.205 | + | 5304.79i | −0.0264877 | + | 0.212187i | ||||
\(856\) | −25874.9 | −1.03316 | ||||||||
\(857\) | 1190.94 | + | 4444.64i | 0.0474699 | + | 0.177160i | 0.985591 | − | 0.169148i | \(-0.0541017\pi\) |
−0.938121 | + | 0.346308i | \(0.887435\pi\) | |||||||
\(858\) | 3315.10 | − | 16831.2i | 0.131906 | − | 0.669707i | ||||
\(859\) | −2297.03 | + | 1326.19i | −0.0912382 | + | 0.0526764i | −0.544925 | − | 0.838485i | \(-0.683442\pi\) |
0.453687 | + | 0.891161i | \(0.350109\pi\) | |||||||
\(860\) | 94.4868 | + | 31977.8i | 0.00374648 | + | 1.26795i | ||||
\(861\) | −10561.8 | + | 21519.1i | −0.418056 | + | 0.851763i | ||||
\(862\) | −15495.0 | + | 4151.87i | −0.612252 | + | 0.164052i | ||||
\(863\) | −11554.8 | − | 11554.8i | −0.455770 | − | 0.455770i | 0.441494 | − | 0.897264i | \(-0.354449\pi\) |
−0.897264 | + | 0.441494i | \(0.854449\pi\) | |||||||
\(864\) | 19419.4 | − | 17224.9i | 0.764655 | − | 0.678243i | ||||
\(865\) | −26485.6 | − | 15187.3i | −1.04108 | − | 0.596976i | ||||
\(866\) | −13294.9 | − | 7675.81i | −0.521685 | − | 0.301195i | ||||
\(867\) | −5238.11 | − | 15336.3i | −0.205185 | − | 0.600747i | ||||
\(868\) | 6102.90 | + | 1635.27i | 0.238647 | + | 0.0639453i | ||||
\(869\) | 10194.1 | + | 17656.7i | 0.397941 | + | 0.689253i | ||||
\(870\) | 3865.41 | + | 3356.97i | 0.150632 | + | 0.130818i | ||||
\(871\) | −3188.73 | + | 5523.04i | −0.124048 | + | 0.214858i | ||||
\(872\) | −7682.52 | + | 7682.52i | −0.298352 | + | 0.298352i | ||||
\(873\) | −5289.71 | + | 6947.55i | −0.205074 | + | 0.269346i | ||||
\(874\) | 3098.02i | 0.119899i | ||||||||
\(875\) | −21667.2 | + | 38309.0i | −0.837126 | + | 1.48009i | ||||
\(876\) | 969.546 | + | 14378.6i | 0.0373949 | + | 0.554576i | ||||
\(877\) | −1586.40 | + | 5920.54i | −0.0610821 | + | 0.227962i | −0.989718 | − | 0.143030i | \(-0.954315\pi\) |
0.928636 | + | 0.370992i | \(0.120982\pi\) | |||||||
\(878\) | 7051.12 | − | 26315.1i | 0.271029 | − | 1.01150i | ||||
\(879\) | −3220.52 | − | 47761.2i | −0.123579 | − | 1.83270i | ||||
\(880\) | 2164.93 | + | 573.241i | 0.0829316 | + | 0.0219590i | ||||
\(881\) | − | 2309.20i | − | 0.0883075i | −0.999025 | − | 0.0441537i | \(-0.985941\pi\) | ||
0.999025 | − | 0.0441537i | \(-0.0140591\pi\) | |||||||
\(882\) | −28805.4 | − | 3682.29i | −1.09969 | − | 0.140577i | ||||
\(883\) | −19660.7 | + | 19660.7i | −0.749303 | + | 0.749303i | −0.974348 | − | 0.225045i | \(-0.927747\pi\) |
0.225045 | + | 0.974348i | \(0.427747\pi\) | |||||||
\(884\) | 6183.24 | − | 10709.7i | 0.235254 | − | 0.407472i | ||||
\(885\) | 228.890 | + | 3251.36i | 0.00869386 | + | 0.123495i | ||||
\(886\) | 5884.68 | + | 10192.6i | 0.223137 | + | 0.386485i | ||||
\(887\) | −28356.7 | − | 7598.16i | −1.07342 | − | 0.287623i | −0.321524 | − | 0.946902i | \(-0.604195\pi\) |
−0.751898 | + | 0.659279i | \(0.770862\pi\) | |||||||
\(888\) | −3922.31 | − | 11483.9i | −0.148226 | − | 0.433979i | ||||
\(889\) | −36419.1 | − | 21026.6i | −1.37397 | − | 0.793260i | ||||
\(890\) | 1366.94 | − | 2383.84i | 0.0514830 | − | 0.0897828i | ||||
\(891\) | −18325.5 | + | 18602.9i | −0.689032 | + | 0.699462i | ||||
\(892\) | 1171.69 | + | 1171.69i | 0.0439812 | + | 0.0439812i | ||||
\(893\) | 2856.17 | − | 765.308i | 0.107030 | − | 0.0286787i | ||||
\(894\) | 6204.87 | − | 12642.0i | 0.232127 | − | 0.472944i | ||||
\(895\) | −3839.11 | − | 3816.49i | −0.143382 | − | 0.142538i | ||||
\(896\) | 28523.0 | − | 16467.8i | 1.06349 | − | 0.614006i | ||||
\(897\) | −5890.64 | + | 29907.6i | −0.219267 | + | 1.11325i | ||||
\(898\) | −6785.10 | − | 25322.3i | −0.252140 | − | 0.940999i | ||||
\(899\) | 2030.76 | 0.0753387 | ||||||||
\(900\) | 16439.8 | + | 6624.15i | 0.608880 | + | 0.245339i | ||||
\(901\) | −10228.0 | −0.378186 | ||||||||
\(902\) | −2251.50 | − | 8402.70i | −0.0831116 | − | 0.310177i | ||||
\(903\) | −67116.5 | − | 58637.0i | −2.47342 | − | 2.16093i | ||||
\(904\) | 31379.8 | − | 18117.1i | 1.15451 | − | 0.666556i | ||||
\(905\) | −21024.7 | − | 20900.9i | −0.772249 | − | 0.767699i | ||||
\(906\) | −4107.42 | + | 276.962i | −0.150618 | + | 0.0101561i | ||||
\(907\) | −32801.4 | + | 8789.11i | −1.20083 | + | 0.321761i | −0.803158 | − | 0.595766i | \(-0.796848\pi\) |
−0.397672 | + | 0.917528i | \(0.630182\pi\) | |||||||
\(908\) | 17383.6 | + | 17383.6i | 0.635347 | + | 0.635347i | ||||
\(909\) | −6954.75 | + | 942.196i | −0.253767 | + | 0.0343792i | ||||
\(910\) | 16142.4 | − | 28151.2i | 0.588039 | − | 1.02550i | ||||
\(911\) | −5799.18 | − | 3348.16i | −0.210906 | − | 0.121767i | 0.390826 | − | 0.920464i | \(-0.372189\pi\) |
−0.601732 | + | 0.798698i | \(0.705523\pi\) | |||||||
\(912\) | 504.890 | + | 99.4437i | 0.0183318 | + | 0.00361065i | ||||
\(913\) | −15731.1 | − | 4215.13i | −0.570233 | − | 0.152793i | ||||
\(914\) | 10032.6 | + | 17376.9i | 0.363072 | + | 0.628860i | ||||
\(915\) | 18034.6 | − | 12176.8i | 0.651589 | − | 0.439948i | ||||
\(916\) | 9364.28 | − | 16219.4i | 0.337778 | − | 0.585048i | ||||
\(917\) | −38064.7 | + | 38064.7i | −1.37078 | + | 1.37078i | ||||
\(918\) | 8811.05 | − | 4407.01i | 0.316784 | − | 0.158446i | ||||
\(919\) | 50724.3i | 1.82072i | 0.413820 | + | 0.910359i | \(0.364194\pi\) | ||||
−0.413820 | + | 0.910359i | \(0.635806\pi\) | |||||||
\(920\) | 25054.5 | + | 6634.05i | 0.897850 | + | 0.237737i | ||||
\(921\) | 11895.0 | + | 5838.23i | 0.425574 | + | 0.208877i | ||||
\(922\) | 4299.37 | − | 16045.5i | 0.153571 | − | 0.573134i | ||||
\(923\) | −13256.1 | + | 49472.5i | −0.472731 | + | 1.76425i | ||||
\(924\) | −25562.8 | + | 17150.1i | −0.910125 | + | 0.610602i | ||||
\(925\) | 9340.52 | − | 9451.58i | 0.332016 | − | 0.335963i | ||||
\(926\) | 14932.5i | 0.529927i | ||||||||
\(927\) | 29283.0 | − | 12258.5i | 1.03752 | − | 0.434326i | ||||
\(928\) | 6954.57 | − | 6954.57i | 0.246008 | − | 0.246008i | ||||
\(929\) | 18550.3 | − | 32130.0i | 0.655128 | − | 1.13472i | −0.326733 | − | 0.945117i | \(-0.605948\pi\) |
0.981862 | − | 0.189599i | \(-0.0607188\pi\) | |||||||
\(930\) | −3478.34 | + | 1199.52i | −0.122645 | + | 0.0422943i | ||||
\(931\) | −5744.68 | − | 9950.08i | −0.202228 | − | 0.350269i | ||||
\(932\) | −229.578 | − | 61.5153i | −0.00806876 | − | 0.00216202i | ||||
\(933\) | 989.384 | − | 1132.46i | 0.0347170 | − | 0.0397374i | ||||
\(934\) | 4842.73 | + | 2795.95i | 0.169656 | + | 0.0979511i | ||||
\(935\) | 14715.7 | + | 8438.23i | 0.514711 | + | 0.295144i | ||||
\(936\) | −30513.2 | − | 12504.9i | −1.06555 | − | 0.436684i | ||||
\(937\) | 1098.31 | + | 1098.31i | 0.0382927 | + | 0.0382927i | 0.725994 | − | 0.687701i | \(-0.241380\pi\) |
−0.687701 | + | 0.725994i | \(0.741380\pi\) | |||||||
\(938\) | −5785.07 | + | 1550.10i | −0.201374 | + | 0.0539581i | ||||
\(939\) | 5648.94 | + | 8419.97i | 0.196322 | + | 0.292626i | ||||
\(940\) | −28.9668 | − | 9803.43i | −0.00100510 | − | 0.340162i | ||||
\(941\) | 24281.2 | − | 14018.8i | 0.841175 | − | 0.485653i | −0.0164881 | − | 0.999864i | \(-0.505249\pi\) |
0.857664 | + | 0.514211i | \(0.171915\pi\) | |||||||
\(942\) | −14081.9 | + | 4809.68i | −0.487064 | + | 0.166356i | ||||
\(943\) | 4000.71 | + | 14930.9i | 0.138156 | + | 0.515605i | ||||
\(944\) | 313.743 | 0.0108172 | ||||||||
\(945\) | −44114.1 | + | 22227.7i | −1.51855 | + | 0.765149i | ||||
\(946\) | 32342.5 | 1.11157 | ||||||||
\(947\) | −6441.22 | − | 24038.9i | −0.221026 | − | 0.824879i | −0.983958 | − | 0.178401i | \(-0.942908\pi\) |
0.762932 | − | 0.646479i | \(-0.223759\pi\) | |||||||
\(948\) | 14698.1 | − | 5020.13i | 0.503557 | − | 0.171990i | ||||
\(949\) | 25426.6 | − | 14680.0i | 0.869738 | − | 0.502144i | ||||
\(950\) | −970.778 | − | 3539.20i | −0.0331539 | − | 0.120870i | ||||
\(951\) | −12976.5 | − | 19342.0i | −0.442474 | − | 0.659524i | ||||
\(952\) | 28306.3 | − | 7584.65i | 0.963669 | − | 0.258214i | ||||
\(953\) | 34055.7 | + | 34055.7i | 1.15758 | + | 1.15758i | 0.984995 | + | 0.172583i | \(0.0552112\pi\) |
0.172583 | + | 0.984995i | \(0.444789\pi\) | |||||||
\(954\) | 1451.04 | + | 10710.8i | 0.0492445 | + | 0.363495i | ||||
\(955\) | −2652.44 | − | 9783.31i | −0.0898753 | − | 0.331498i | ||||
\(956\) | −1562.53 | − | 902.127i | −0.0528617 | − | 0.0305197i | ||||
\(957\) | −6509.63 | + | 7450.99i | −0.219881 | + | 0.251678i | ||||
\(958\) | 159.030 | + | 42.6119i | 0.00536328 | + | 0.00143709i | ||||
\(959\) | 22496.6 | + | 38965.3i | 0.757512 | + | 1.31205i | ||||
\(960\) | −6665.91 | + | 13683.4i | −0.224105 | + | 0.460032i | ||||
\(961\) | 14165.8 | − | 24535.8i | 0.475505 | − | 0.823599i | ||||
\(962\) | −6928.05 | + | 6928.05i | −0.232193 | + | 0.232193i | ||||
\(963\) | 4032.36 | − | 31543.8i | 0.134933 | − | 1.05554i | ||||
\(964\) | 23942.1i | 0.799920i | ||||||||
\(965\) | 15254.0 | + | 26241.3i | 0.508853 | + | 0.875376i | ||||
\(966\) | −23771.9 | + | 15948.5i | −0.791769 | + | 0.531196i | ||||
\(967\) | 4004.02 | − | 14943.2i | 0.133155 | − | 0.496940i | −0.866844 | − | 0.498580i | \(-0.833855\pi\) |
0.999999 | + | 0.00163930i | \(0.000521807\pi\) | |||||||
\(968\) | −272.349 | + | 1016.42i | −0.00904302 | + | 0.0337490i | ||||
\(969\) | 3499.02 | + | 1717.37i | 0.116001 | + | 0.0569348i | ||||
\(970\) | 1534.36 | − | 5794.76i | 0.0507891 | − | 0.191813i | ||||
\(971\) | − | 42148.6i | − | 1.39301i | −0.717552 | − | 0.696505i | \(-0.754737\pi\) | ||
0.717552 | − | 0.696505i | \(-0.245263\pi\) | |||||||
\(972\) | 11206.8 | + | 16436.0i | 0.369813 | + | 0.542370i | ||||
\(973\) | −7820.70 | + | 7820.70i | −0.257677 | + | 0.257677i | ||||
\(974\) | −881.682 | + | 1527.12i | −0.0290050 | + | 0.0502382i | ||||
\(975\) | −2642.19 | − | 36012.6i | −0.0867874 | − | 1.18290i | ||||
\(976\) | −1047.31 | − | 1813.99i | −0.0343479 | − | 0.0594923i | ||||
\(977\) | 8214.17 | + | 2200.98i | 0.268981 | + | 0.0720733i | 0.390789 | − | 0.920480i | \(-0.372202\pi\) |
−0.121807 | + | 0.992554i | \(0.538869\pi\) | |||||||
\(978\) | 26561.0 | + | 5231.47i | 0.868431 | + | 0.171047i | ||||
\(979\) | 4599.12 | + | 2655.30i | 0.150142 | + | 0.0866843i | ||||
\(980\) | −36764.9 | + | 9967.65i | −1.19838 | + | 0.324903i | ||||
\(981\) | −8168.43 | − | 10562.9i | −0.265849 | − | 0.343780i | ||||
\(982\) | 4783.38 | + | 4783.38i | 0.155442 | + | 0.155442i | ||||
\(983\) | 41929.5 | − | 11235.0i | 1.36047 | − | 0.364537i | 0.496482 | − | 0.868047i | \(-0.334625\pi\) |
0.863990 | + | 0.503510i | \(0.167958\pi\) | |||||||
\(984\) | −16684.4 | + | 1125.02i | −0.540526 | + | 0.0364475i | ||||
\(985\) | −11845.8 | + | 35.0015i | −0.383186 | + | 0.00113222i | ||||
\(986\) | 3232.65 | − | 1866.37i | 0.104410 | − | 0.0602814i | ||||
\(987\) | 20575.9 | + | 17976.4i | 0.663565 | + | 0.579730i | ||||
\(988\) | −1338.20 | − | 4994.25i | −0.0430911 | − | 0.160818i | ||||
\(989\) | −57469.9 | −1.84776 | ||||||||
\(990\) | 6748.79 | − | 16607.4i | 0.216657 | − | 0.533148i | ||||
\(991\) | 39569.0 | 1.26837 | 0.634183 | − | 0.773183i | \(-0.281337\pi\) | ||||
0.634183 | + | 0.773183i | \(0.281337\pi\) | |||||||
\(992\) | 1829.43 | + | 6827.52i | 0.0585528 | + | 0.218522i | ||||
\(993\) | −8638.42 | + | 43858.6i | −0.276064 | + | 1.40162i | ||||
\(994\) | −41655.1 | + | 24049.6i | −1.32919 | + | 0.767410i | ||||
\(995\) | 36887.9 | − | 37106.6i | 1.17530 | − | 1.18227i | ||||
\(996\) | −5466.45 | + | 11137.5i | −0.173907 | + | 0.354324i | ||||
\(997\) | 54073.3 | − | 14488.9i | 1.71767 | − | 0.460249i | 0.740387 | − | 0.672181i | \(-0.234642\pi\) |
0.977284 | + | 0.211933i | \(0.0679757\pi\) | |||||||
\(998\) | 5925.14 | + | 5925.14i | 0.187933 | + | 0.187933i | ||||
\(999\) | 14611.1 | − | 2992.00i | 0.462738 | − | 0.0947574i |
(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 | 45.4.l.a.2.7 | ✓ | 64 | |
3.2 | odd | 2 | 135.4.m.a.62.10 | 64 | |||
5.2 | odd | 4 | 225.4.p.b.218.10 | 64 | |||
5.3 | odd | 4 | inner | 45.4.l.a.38.7 | yes | 64 | |
5.4 | even | 2 | 225.4.p.b.182.10 | 64 | |||
9.4 | even | 3 | 135.4.m.a.17.10 | 64 | |||
9.5 | odd | 6 | inner | 45.4.l.a.32.7 | yes | 64 | |
15.8 | even | 4 | 135.4.m.a.8.10 | 64 | |||
45.13 | odd | 12 | 135.4.m.a.98.10 | 64 | |||
45.14 | odd | 6 | 225.4.p.b.32.10 | 64 | |||
45.23 | even | 12 | inner | 45.4.l.a.23.7 | yes | 64 | |
45.32 | even | 12 | 225.4.p.b.68.10 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.4.l.a.2.7 | ✓ | 64 | 1.1 | even | 1 | trivial | |
45.4.l.a.23.7 | yes | 64 | 45.23 | even | 12 | inner | |
45.4.l.a.32.7 | yes | 64 | 9.5 | odd | 6 | inner | |
45.4.l.a.38.7 | yes | 64 | 5.3 | odd | 4 | inner | |
135.4.m.a.8.10 | 64 | 15.8 | even | 4 | |||
135.4.m.a.17.10 | 64 | 9.4 | even | 3 | |||
135.4.m.a.62.10 | 64 | 3.2 | odd | 2 | |||
135.4.m.a.98.10 | 64 | 45.13 | odd | 12 | |||
225.4.p.b.32.10 | 64 | 45.14 | odd | 6 | |||
225.4.p.b.68.10 | 64 | 45.32 | even | 12 | |||
225.4.p.b.182.10 | 64 | 5.4 | even | 2 | |||
225.4.p.b.218.10 | 64 | 5.2 | odd | 4 |