Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(176,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.176");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.d (of order \(2\), degree \(1\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 176.11 | ||
Character | \(\chi\) | \(=\) | 177.176 |
Dual form | 177.4.d.c.176.12 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.85434 | −1.36272 | −0.681358 | − | 0.731951i | \(-0.738610\pi\) | ||||
−0.681358 | + | 0.731951i | \(0.738610\pi\) | |||||||
\(3\) | −4.18856 | − | 3.07505i | −0.806089 | − | 0.591794i | ||||
\(4\) | 6.85594 | 0.856993 | ||||||||
\(5\) | − | 0.146910i | − | 0.0131401i | −0.999978 | − | 0.00657003i | \(-0.997909\pi\) | ||
0.999978 | − | 0.00657003i | \(-0.00209132\pi\) | |||||||
\(6\) | 16.1441 | + | 11.8523i | 1.09847 | + | 0.806447i | ||||
\(7\) | −24.4419 | −1.31974 | −0.659870 | − | 0.751379i | \(-0.729389\pi\) | ||||
−0.659870 | + | 0.751379i | \(0.729389\pi\) | |||||||
\(8\) | 4.40959 | 0.194878 | ||||||||
\(9\) | 8.08809 | + | 25.7601i | 0.299559 | + | 0.954078i | ||||
\(10\) | 0.566243i | 0.0179062i | ||||||||
\(11\) | 16.8186 | 0.461000 | 0.230500 | − | 0.973072i | \(-0.425964\pi\) | ||||
0.230500 | + | 0.973072i | \(0.425964\pi\) | |||||||
\(12\) | −28.7165 | − | 21.0824i | −0.690812 | − | 0.507163i | ||||
\(13\) | 51.2069i | 1.09248i | 0.837628 | + | 0.546240i | \(0.183942\pi\) | ||||
−0.837628 | + | 0.546240i | \(0.816058\pi\) | |||||||
\(14\) | 94.2076 | 1.79843 | ||||||||
\(15\) | −0.451757 | + | 0.615343i | −0.00777622 | + | 0.0105921i | ||||
\(16\) | −71.8436 | −1.12256 | ||||||||
\(17\) | 61.9717i | 0.884138i | 0.896981 | + | 0.442069i | \(0.145755\pi\) | ||||
−0.896981 | + | 0.442069i | \(0.854245\pi\) | |||||||
\(18\) | −31.1743 | − | 99.2882i | −0.408213 | − | 1.30014i | ||||
\(19\) | −98.2877 | −1.18678 | −0.593388 | − | 0.804916i | \(-0.702210\pi\) | ||||
−0.593388 | + | 0.804916i | \(0.702210\pi\) | |||||||
\(20\) | − | 1.00721i | − | 0.0112609i | ||||||
\(21\) | 102.377 | + | 75.1603i | 1.06383 | + | 0.781015i | ||||
\(22\) | −64.8246 | −0.628212 | ||||||||
\(23\) | 40.4578 | 0.366785 | 0.183392 | − | 0.983040i | \(-0.441292\pi\) | ||||
0.183392 | + | 0.983040i | \(0.441292\pi\) | |||||||
\(24\) | −18.4699 | − | 13.5597i | −0.157089 | − | 0.115328i | ||||
\(25\) | 124.978 | 0.999827 | ||||||||
\(26\) | − | 197.369i | − | 1.48874i | ||||||
\(27\) | 45.3362 | − | 132.769i | 0.323147 | − | 0.946349i | ||||
\(28\) | −167.572 | −1.13101 | ||||||||
\(29\) | − | 235.127i | − | 1.50558i | −0.658259 | − | 0.752792i | \(-0.728707\pi\) | ||
0.658259 | − | 0.752792i | \(-0.271293\pi\) | |||||||
\(30\) | 1.74123 | − | 2.37174i | 0.0105968 | − | 0.0144340i | ||||
\(31\) | − | 306.017i | − | 1.77297i | −0.462753 | − | 0.886487i | \(-0.653138\pi\) | ||
0.462753 | − | 0.886487i | \(-0.346862\pi\) | |||||||
\(32\) | 241.633 | 1.33485 | ||||||||
\(33\) | −70.4458 | − | 51.7181i | −0.371607 | − | 0.272817i | ||||
\(34\) | − | 238.860i | − | 1.20483i | ||||||
\(35\) | 3.59077i | 0.0173415i | ||||||||
\(36\) | 55.4515 | + | 176.610i | 0.256720 | + | 0.817638i | ||||
\(37\) | 353.773i | 1.57189i | 0.618298 | + | 0.785944i | \(0.287823\pi\) | ||||
−0.618298 | + | 0.785944i | \(0.712177\pi\) | |||||||
\(38\) | 378.834 | 1.61724 | ||||||||
\(39\) | 157.464 | − | 214.483i | 0.646524 | − | 0.880637i | ||||
\(40\) | − | 0.647815i | − | 0.00256071i | ||||||
\(41\) | − | 259.306i | − | 0.987728i | −0.869539 | − | 0.493864i | \(-0.835584\pi\) | ||
0.869539 | − | 0.493864i | \(-0.164416\pi\) | |||||||
\(42\) | −394.594 | − | 289.693i | −1.44970 | − | 1.06430i | ||||
\(43\) | − | 58.9877i | − | 0.209199i | −0.994514 | − | 0.104599i | \(-0.966644\pi\) | ||
0.994514 | − | 0.104599i | \(-0.0333560\pi\) | |||||||
\(44\) | 115.307 | 0.395074 | ||||||||
\(45\) | 3.78443 | − | 1.18822i | 0.0125366 | − | 0.00393622i | ||||
\(46\) | −155.938 | −0.499823 | ||||||||
\(47\) | 36.9696 | 0.114736 | 0.0573678 | − | 0.998353i | \(-0.481729\pi\) | ||||
0.0573678 | + | 0.998353i | \(0.481729\pi\) | |||||||
\(48\) | 300.921 | + | 220.923i | 0.904880 | + | 0.664322i | ||||
\(49\) | 254.408 | 0.741715 | ||||||||
\(50\) | −481.709 | −1.36248 | ||||||||
\(51\) | 190.566 | − | 259.572i | 0.523228 | − | 0.712694i | ||||
\(52\) | 351.072i | 0.936248i | ||||||||
\(53\) | − | 105.746i | − | 0.274064i | −0.990567 | − | 0.137032i | \(-0.956244\pi\) | ||
0.990567 | − | 0.137032i | \(-0.0437563\pi\) | |||||||
\(54\) | −174.741 | + | 511.737i | −0.440357 | + | 1.28960i | ||||
\(55\) | − | 2.47083i | − | 0.00605757i | ||||||
\(56\) | −107.779 | −0.257189 | ||||||||
\(57\) | 411.684 | + | 302.240i | 0.956647 | + | 0.702328i | ||||
\(58\) | 906.258i | 2.05168i | ||||||||
\(59\) | −384.876 | − | 239.268i | −0.849265 | − | 0.527967i | ||||
\(60\) | −3.09722 | + | 4.21876i | −0.00666416 | + | 0.00907732i | ||||
\(61\) | − | 270.462i | − | 0.567690i | −0.958870 | − | 0.283845i | \(-0.908390\pi\) | ||
0.958870 | − | 0.283845i | \(-0.0916101\pi\) | |||||||
\(62\) | 1179.49i | 2.41606i | ||||||||
\(63\) | −197.689 | − | 629.627i | −0.395340 | − | 1.25914i | ||||
\(64\) | −356.587 | −0.696459 | ||||||||
\(65\) | 7.52283 | 0.0143553 | ||||||||
\(66\) | 271.522 | + | 199.339i | 0.506395 | + | 0.371772i | ||||
\(67\) | 201.641i | 0.367678i | 0.982956 | + | 0.183839i | \(0.0588525\pi\) | ||||
−0.982956 | + | 0.183839i | \(0.941147\pi\) | |||||||
\(68\) | 424.874i | 0.757700i | ||||||||
\(69\) | −169.460 | − | 124.410i | −0.295661 | − | 0.217061i | ||||
\(70\) | − | 13.8401i | − | 0.0236315i | ||||||
\(71\) | 659.691i | 1.10269i | 0.834278 | + | 0.551345i | \(0.185885\pi\) | ||||
−0.834278 | + | 0.551345i | \(0.814115\pi\) | |||||||
\(72\) | 35.6652 | + | 113.592i | 0.0583776 | + | 0.185929i | ||||
\(73\) | − | 604.150i | − | 0.968636i | −0.874892 | − | 0.484318i | \(-0.839068\pi\) | ||
0.874892 | − | 0.484318i | \(-0.160932\pi\) | |||||||
\(74\) | − | 1363.56i | − | 2.14204i | ||||||
\(75\) | −523.480 | − | 384.315i | −0.805950 | − | 0.591692i | ||||
\(76\) | −673.855 | −1.01706 | ||||||||
\(77\) | −411.079 | −0.608401 | ||||||||
\(78\) | −606.920 | + | 826.692i | −0.881028 | + | 1.20006i | ||||
\(79\) | 496.729 | 0.707422 | 0.353711 | − | 0.935355i | \(-0.384920\pi\) | ||||
0.353711 | + | 0.935355i | \(0.384920\pi\) | |||||||
\(80\) | 10.5546i | 0.0147505i | ||||||||
\(81\) | −598.166 | + | 416.700i | −0.820529 | + | 0.571605i | ||||
\(82\) | 999.455i | 1.34599i | ||||||||
\(83\) | 1456.75 | 1.92649 | 0.963246 | − | 0.268620i | \(-0.0865675\pi\) | ||||
0.963246 | + | 0.268620i | \(0.0865675\pi\) | |||||||
\(84\) | 701.888 | + | 515.294i | 0.911693 | + | 0.669324i | ||||
\(85\) | 9.10429 | 0.0116176 | ||||||||
\(86\) | 227.359i | 0.285078i | ||||||||
\(87\) | −723.027 | + | 984.843i | −0.890996 | + | 1.21363i | ||||
\(88\) | 74.1632 | 0.0898389 | ||||||||
\(89\) | 145.988 | 0.173874 | 0.0869368 | − | 0.996214i | \(-0.472292\pi\) | ||||
0.0869368 | + | 0.996214i | \(0.472292\pi\) | |||||||
\(90\) | −14.5865 | + | 4.57982i | −0.0170839 | + | 0.00536395i | ||||
\(91\) | − | 1251.60i | − | 1.44179i | ||||||
\(92\) | 277.377 | 0.314332 | ||||||||
\(93\) | −941.017 | + | 1281.77i | −1.04924 | + | 1.42918i | ||||
\(94\) | −142.493 | −0.156352 | ||||||||
\(95\) | 14.4395i | 0.0155943i | ||||||||
\(96\) | −1012.09 | − | 743.034i | −1.07600 | − | 0.789954i | ||||
\(97\) | 1332.12i | 1.39440i | 0.716878 | + | 0.697198i | \(0.245570\pi\) | ||||
−0.716878 | + | 0.697198i | \(0.754430\pi\) | |||||||
\(98\) | −980.577 | −1.01075 | ||||||||
\(99\) | 136.030 | + | 433.249i | 0.138097 | + | 0.439830i | ||||
\(100\) | 856.845 | 0.856845 | ||||||||
\(101\) | 1810.79 | 1.78397 | 0.891984 | − | 0.452067i | \(-0.149313\pi\) | ||||
0.891984 | + | 0.452067i | \(0.149313\pi\) | |||||||
\(102\) | −734.507 | + | 1000.48i | −0.713010 | + | 0.971199i | ||||
\(103\) | − | 1377.13i | − | 1.31740i | −0.752405 | − | 0.658701i | \(-0.771106\pi\) | ||
0.752405 | − | 0.658701i | \(-0.228894\pi\) | |||||||
\(104\) | 225.802i | 0.212901i | ||||||||
\(105\) | 11.0418 | − | 15.0402i | 0.0102626 | − | 0.0139788i | ||||
\(106\) | 407.582i | 0.373471i | ||||||||
\(107\) | − | 1084.01i | − | 0.979390i | −0.871894 | − | 0.489695i | \(-0.837108\pi\) | ||
0.871894 | − | 0.489695i | \(-0.162892\pi\) | |||||||
\(108\) | 310.823 | − | 910.257i | 0.276934 | − | 0.811014i | ||||
\(109\) | − | 455.929i | − | 0.400643i | −0.979730 | − | 0.200322i | \(-0.935801\pi\) | ||
0.979730 | − | 0.200322i | \(-0.0641987\pi\) | |||||||
\(110\) | 9.52341i | 0.00825474i | ||||||||
\(111\) | 1087.87 | − | 1481.80i | 0.930235 | − | 1.26708i | ||||
\(112\) | 1756.00 | 1.48148 | ||||||||
\(113\) | −356.645 | −0.296905 | −0.148453 | − | 0.988920i | \(-0.547429\pi\) | ||||
−0.148453 | + | 0.988920i | \(0.547429\pi\) | |||||||
\(114\) | −1586.77 | − | 1164.94i | −1.30364 | − | 0.957073i | ||||
\(115\) | − | 5.94368i | − | 0.00481957i | ||||||
\(116\) | − | 1612.01i | − | 1.29027i | ||||||
\(117\) | −1319.10 | + | 414.166i | −1.04231 | + | 0.327262i | ||||
\(118\) | 1483.44 | + | 922.220i | 1.15731 | + | 0.719468i | ||||
\(119\) | − | 1514.71i | − | 1.16683i | ||||||
\(120\) | −1.99207 | + | 2.71341i | −0.00151542 | + | 0.00206416i | ||||
\(121\) | −1048.13 | −0.787479 | ||||||||
\(122\) | 1042.45i | 0.773600i | ||||||||
\(123\) | −797.381 | + | 1086.12i | −0.584532 | + | 0.796197i | ||||
\(124\) | − | 2098.03i | − | 1.51943i | ||||||
\(125\) | − | 36.7244i | − | 0.0262779i | ||||||
\(126\) | 761.959 | + | 2426.80i | 0.538736 | + | 1.71584i | ||||
\(127\) | −467.771 | −0.326834 | −0.163417 | − | 0.986557i | \(-0.552252\pi\) | ||||
−0.163417 | + | 0.986557i | \(0.552252\pi\) | |||||||
\(128\) | −558.657 | −0.385771 | ||||||||
\(129\) | −181.390 | + | 247.074i | −0.123803 | + | 0.168633i | ||||
\(130\) | −28.9956 | −0.0195621 | ||||||||
\(131\) | 2005.53 | 1.33759 | 0.668795 | − | 0.743447i | \(-0.266811\pi\) | ||||
0.668795 | + | 0.743447i | \(0.266811\pi\) | |||||||
\(132\) | −482.972 | − | 354.576i | −0.318464 | − | 0.233802i | ||||
\(133\) | 2402.34 | 1.56624 | ||||||||
\(134\) | − | 777.195i | − | 0.501040i | ||||||
\(135\) | −19.5052 | − | 6.66036i | −0.0124351 | − | 0.00424617i | ||||
\(136\) | 273.270i | 0.172299i | ||||||||
\(137\) | − | 1176.51i | − | 0.733695i | −0.930281 | − | 0.366848i | \(-0.880437\pi\) | ||
0.930281 | − | 0.366848i | \(-0.119563\pi\) | |||||||
\(138\) | 653.157 | + | 479.519i | 0.402902 | + | 0.295792i | ||||
\(139\) | 1219.44 | 0.744111 | 0.372055 | − | 0.928210i | \(-0.378653\pi\) | ||||
0.372055 | + | 0.928210i | \(0.378653\pi\) | |||||||
\(140\) | 24.6181i | 0.0148615i | ||||||||
\(141\) | −154.849 | − | 113.684i | −0.0924871 | − | 0.0678999i | ||||
\(142\) | − | 2542.67i | − | 1.50265i | ||||||
\(143\) | 861.229i | 0.503634i | ||||||||
\(144\) | −581.078 | − | 1850.70i | −0.336272 | − | 1.07101i | ||||
\(145\) | −34.5426 | −0.0197835 | ||||||||
\(146\) | 2328.60i | 1.31998i | ||||||||
\(147\) | −1065.61 | − | 782.319i | −0.597889 | − | 0.438943i | ||||
\(148\) | 2425.44i | 1.34710i | ||||||||
\(149\) | 2092.78 | 1.15065 | 0.575327 | − | 0.817924i | \(-0.304875\pi\) | ||||
0.575327 | + | 0.817924i | \(0.304875\pi\) | |||||||
\(150\) | 2017.67 | + | 1481.28i | 1.09828 | + | 0.806308i | ||||
\(151\) | − | 1352.06i | − | 0.728668i | −0.931268 | − | 0.364334i | \(-0.881297\pi\) | ||
0.931268 | − | 0.364334i | \(-0.118703\pi\) | |||||||
\(152\) | −433.409 | −0.231277 | ||||||||
\(153\) | −1596.40 | + | 501.233i | −0.843536 | + | 0.264851i | ||||
\(154\) | 1584.44 | 0.829077 | ||||||||
\(155\) | −44.9570 | −0.0232970 | ||||||||
\(156\) | 1079.56 | − | 1470.49i | 0.554066 | − | 0.754699i | ||||
\(157\) | − | 2269.35i | − | 1.15359i | −0.816888 | − | 0.576797i | \(-0.804302\pi\) | ||
0.816888 | − | 0.576797i | \(-0.195698\pi\) | |||||||
\(158\) | −1914.56 | −0.964015 | ||||||||
\(159\) | −325.176 | + | 442.925i | −0.162189 | + | 0.220920i | ||||
\(160\) | − | 35.4984i | − | 0.0175400i | ||||||
\(161\) | −988.868 | −0.484060 | ||||||||
\(162\) | 2305.53 | − | 1606.10i | 1.11815 | − | 0.778935i | ||||
\(163\) | −253.195 | −0.121667 | −0.0608336 | − | 0.998148i | \(-0.519376\pi\) | ||||
−0.0608336 | + | 0.998148i | \(0.519376\pi\) | |||||||
\(164\) | − | 1777.79i | − | 0.846476i | ||||||
\(165\) | −7.59793 | + | 10.3492i | −0.00358484 | + | 0.00488294i | ||||
\(166\) | −5614.80 | −2.62526 | ||||||||
\(167\) | − | 1565.36i | − | 0.725335i | −0.931919 | − | 0.362668i | \(-0.881866\pi\) | ||
0.931919 | − | 0.362668i | \(-0.118134\pi\) | |||||||
\(168\) | 451.439 | + | 331.426i | 0.207317 | + | 0.152203i | ||||
\(169\) | −425.151 | −0.193514 | ||||||||
\(170\) | −35.0910 | −0.0158315 | ||||||||
\(171\) | −794.960 | − | 2531.90i | −0.355509 | − | 1.13228i | ||||
\(172\) | − | 404.416i | − | 0.179282i | ||||||
\(173\) | 2408.08 | 1.05828 | 0.529142 | − | 0.848534i | \(-0.322514\pi\) | ||||
0.529142 | + | 0.848534i | \(0.322514\pi\) | |||||||
\(174\) | 2786.79 | − | 3795.92i | 1.21417 | − | 1.65384i | ||||
\(175\) | −3054.71 | −1.31951 | ||||||||
\(176\) | −1208.31 | −0.517499 | ||||||||
\(177\) | 876.317 | + | 2185.70i | 0.372136 | + | 0.928178i | ||||
\(178\) | −562.689 | −0.236940 | ||||||||
\(179\) | −254.566 | −0.106297 | −0.0531484 | − | 0.998587i | \(-0.516926\pi\) | ||||
−0.0531484 | + | 0.998587i | \(0.516926\pi\) | |||||||
\(180\) | 25.9458 | − | 8.14640i | 0.0107438 | − | 0.00337331i | ||||
\(181\) | −2916.59 | −1.19773 | −0.598864 | − | 0.800851i | \(-0.704381\pi\) | ||||
−0.598864 | + | 0.800851i | \(0.704381\pi\) | |||||||
\(182\) | 4824.08i | 1.96475i | ||||||||
\(183\) | −831.685 | + | 1132.85i | −0.335956 | + | 0.457609i | ||||
\(184\) | 178.403 | 0.0714784 | ||||||||
\(185\) | 51.9729 | 0.0206547 | ||||||||
\(186\) | 3627.00 | − | 4940.38i | 1.42981 | − | 1.94756i | ||||
\(187\) | 1042.28i | 0.407588i | ||||||||
\(188\) | 253.461 | 0.0983275 | ||||||||
\(189\) | −1108.11 | + | 3245.13i | −0.426470 | + | 1.24894i | ||||
\(190\) | − | 55.6547i | − | 0.0212506i | ||||||
\(191\) | 821.031 | 0.311035 | 0.155518 | − | 0.987833i | \(-0.450295\pi\) | ||||
0.155518 | + | 0.987833i | \(0.450295\pi\) | |||||||
\(192\) | 1493.59 | + | 1096.52i | 0.561408 | + | 0.412160i | ||||
\(193\) | 4097.34 | 1.52815 | 0.764074 | − | 0.645128i | \(-0.223196\pi\) | ||||
0.764074 | + | 0.645128i | \(0.223196\pi\) | |||||||
\(194\) | − | 5134.45i | − | 1.90017i | ||||||
\(195\) | −31.5098 | − | 23.1331i | −0.0115716 | − | 0.00849537i | ||||
\(196\) | 1744.21 | 0.635645 | ||||||||
\(197\) | 770.845i | 0.278784i | 0.990237 | + | 0.139392i | \(0.0445148\pi\) | ||||
−0.990237 | + | 0.139392i | \(0.955485\pi\) | |||||||
\(198\) | −524.307 | − | 1669.89i | −0.188186 | − | 0.599363i | ||||
\(199\) | −732.811 | −0.261043 | −0.130522 | − | 0.991445i | \(-0.541665\pi\) | ||||
−0.130522 | + | 0.991445i | \(0.541665\pi\) | |||||||
\(200\) | 551.104 | 0.194845 | ||||||||
\(201\) | 620.058 | − | 844.588i | 0.217590 | − | 0.296381i | ||||
\(202\) | −6979.42 | −2.43104 | ||||||||
\(203\) | 5746.95i | 1.98698i | ||||||||
\(204\) | 1306.51 | − | 1779.61i | 0.448402 | − | 0.610773i | ||||
\(205\) | −38.0948 | −0.0129788 | ||||||||
\(206\) | 5307.92i | 1.79524i | ||||||||
\(207\) | 327.227 | + | 1042.20i | 0.109874 | + | 0.349941i | ||||
\(208\) | − | 3678.89i | − | 1.22637i | ||||||
\(209\) | −1653.06 | −0.547104 | ||||||||
\(210\) | −42.5590 | + | 57.9700i | −0.0139850 | + | 0.0190491i | ||||
\(211\) | 3592.04i | 1.17197i | 0.810321 | + | 0.585986i | \(0.199293\pi\) | ||||
−0.810321 | + | 0.585986i | \(0.800707\pi\) | |||||||
\(212\) | − | 724.990i | − | 0.234870i | ||||||
\(213\) | 2028.59 | − | 2763.16i | 0.652565 | − | 0.888865i | ||||
\(214\) | 4178.12i | 1.33463i | ||||||||
\(215\) | −8.66591 | −0.00274888 | ||||||||
\(216\) | 199.914 | − | 585.458i | 0.0629743 | − | 0.184423i | ||||
\(217\) | 7479.64i | 2.33987i | ||||||||
\(218\) | 1757.31i | 0.545963i | ||||||||
\(219\) | −1857.79 | + | 2530.52i | −0.573233 | + | 0.780807i | ||||
\(220\) | − | 16.9398i | − | 0.00519129i | ||||||
\(221\) | −3173.38 | −0.965904 | ||||||||
\(222\) | −4193.02 | + | 5711.36i | −1.26764 | + | 1.72667i | ||||
\(223\) | 3666.01 | 1.10087 | 0.550435 | − | 0.834878i | \(-0.314462\pi\) | ||||
0.550435 | + | 0.834878i | \(0.314462\pi\) | |||||||
\(224\) | −5905.98 | −1.76165 | ||||||||
\(225\) | 1010.84 | + | 3219.46i | 0.299507 | + | 0.953913i | ||||
\(226\) | 1374.63 | 0.404597 | ||||||||
\(227\) | −3118.42 | −0.911792 | −0.455896 | − | 0.890033i | \(-0.650681\pi\) | ||||
−0.455896 | + | 0.890033i | \(0.650681\pi\) | |||||||
\(228\) | 2822.48 | + | 2072.14i | 0.819840 | + | 0.601890i | ||||
\(229\) | 2426.36i | 0.700169i | 0.936718 | + | 0.350084i | \(0.113847\pi\) | ||||
−0.936718 | + | 0.350084i | \(0.886153\pi\) | |||||||
\(230\) | 22.9090i | 0.00656770i | ||||||||
\(231\) | 1721.83 | + | 1264.09i | 0.490425 | + | 0.360048i | ||||
\(232\) | − | 1036.81i | − | 0.293406i | ||||||
\(233\) | −2575.90 | −0.724262 | −0.362131 | − | 0.932127i | \(-0.617951\pi\) | ||||
−0.362131 | + | 0.932127i | \(0.617951\pi\) | |||||||
\(234\) | 5084.25 | − | 1596.34i | 1.42037 | − | 0.445965i | ||||
\(235\) | − | 5.43122i | − | 0.00150763i | ||||||
\(236\) | −2638.69 | − | 1640.41i | −0.727814 | − | 0.452463i | ||||
\(237\) | −2080.58 | − | 1527.47i | −0.570245 | − | 0.418648i | ||||
\(238\) | 5838.20i | 1.59006i | ||||||||
\(239\) | 4360.94i | 1.18028i | 0.807303 | + | 0.590138i | \(0.200927\pi\) | ||||
−0.807303 | + | 0.590138i | \(0.799073\pi\) | |||||||
\(240\) | 32.4559 | − | 44.2085i | 0.00872924 | − | 0.0118902i | ||||
\(241\) | 3041.06 | 0.812829 | 0.406415 | − | 0.913689i | \(-0.366779\pi\) | ||||
0.406415 | + | 0.913689i | \(0.366779\pi\) | |||||||
\(242\) | 4039.87 | 1.07311 | ||||||||
\(243\) | 3786.83 | + | 94.0177i | 0.999692 | + | 0.0248199i | ||||
\(244\) | − | 1854.27i | − | 0.486506i | ||||||
\(245\) | − | 37.3752i | − | 0.00974619i | ||||||
\(246\) | 3073.38 | − | 4186.28i | 0.796550 | − | 1.08499i | ||||
\(247\) | − | 5033.01i | − | 1.29653i | ||||||
\(248\) | − | 1349.41i | − | 0.345514i | ||||||
\(249\) | −6101.68 | − | 4479.58i | −1.55292 | − | 1.14009i | ||||
\(250\) | 141.548i | 0.0358092i | ||||||||
\(251\) | − | 6103.22i | − | 1.53479i | −0.641176 | − | 0.767394i | \(-0.721553\pi\) | ||
0.641176 | − | 0.767394i | \(-0.278447\pi\) | |||||||
\(252\) | −1355.34 | − | 4316.68i | −0.338803 | − | 1.07907i | ||||
\(253\) | 680.445 | 0.169088 | ||||||||
\(254\) | 1802.95 | 0.445382 | ||||||||
\(255\) | −38.1339 | − | 27.9962i | −0.00936484 | − | 0.00687525i | ||||
\(256\) | 5005.95 | 1.22216 | ||||||||
\(257\) | 1101.84i | 0.267435i | 0.991019 | + | 0.133717i | \(0.0426915\pi\) | ||||
−0.991019 | + | 0.133717i | \(0.957309\pi\) | |||||||
\(258\) | 699.140 | − | 952.306i | 0.168708 | − | 0.229798i | ||||
\(259\) | − | 8646.89i | − | 2.07448i | ||||||
\(260\) | 51.5761 | 0.0123024 | ||||||||
\(261\) | 6056.89 | − | 1901.73i | 1.43644 | − | 0.451011i | ||||
\(262\) | −7730.00 | −1.82275 | ||||||||
\(263\) | − | 6790.33i | − | 1.59205i | −0.605262 | − | 0.796026i | \(-0.706932\pi\) | ||
0.605262 | − | 0.796026i | \(-0.293068\pi\) | |||||||
\(264\) | −310.637 | − | 228.056i | −0.0724182 | − | 0.0531662i | ||||
\(265\) | −15.5352 | −0.00360121 | ||||||||
\(266\) | −9259.45 | −2.13434 | ||||||||
\(267\) | −611.482 | − | 448.922i | −0.140158 | − | 0.102897i | ||||
\(268\) | 1382.44i | 0.315097i | ||||||||
\(269\) | 2014.39 | 0.456579 | 0.228290 | − | 0.973593i | \(-0.426687\pi\) | ||||
0.228290 | + | 0.973593i | \(0.426687\pi\) | |||||||
\(270\) | 75.1795 | + | 25.6713i | 0.0169455 | + | 0.00578632i | ||||
\(271\) | −2969.59 | −0.665646 | −0.332823 | − | 0.942989i | \(-0.608001\pi\) | ||||
−0.332823 | + | 0.942989i | \(0.608001\pi\) | |||||||
\(272\) | − | 4452.27i | − | 0.992494i | ||||||
\(273\) | −3848.73 | + | 5242.39i | −0.853244 | + | 1.16221i | ||||
\(274\) | 4534.68i | 0.999818i | ||||||||
\(275\) | 2101.96 | 0.460920 | ||||||||
\(276\) | −1161.81 | − | 852.948i | −0.253379 | − | 0.186020i | ||||
\(277\) | 3663.21 | 0.794589 | 0.397294 | − | 0.917691i | \(-0.369949\pi\) | ||||
0.397294 | + | 0.917691i | \(0.369949\pi\) | |||||||
\(278\) | −4700.13 | −1.01401 | ||||||||
\(279\) | 7883.02 | − | 2475.09i | 1.69156 | − | 0.531110i | ||||
\(280\) | 15.8339i | 0.00337948i | ||||||||
\(281\) | 4303.92i | 0.913703i | 0.889543 | + | 0.456851i | \(0.151023\pi\) | ||||
−0.889543 | + | 0.456851i | \(0.848977\pi\) | |||||||
\(282\) | 596.843 | + | 438.175i | 0.126034 | + | 0.0925282i | ||||
\(283\) | 5311.32i | 1.11564i | 0.829963 | + | 0.557819i | \(0.188362\pi\) | ||||
−0.829963 | + | 0.557819i | \(0.811638\pi\) | |||||||
\(284\) | 4522.80i | 0.944996i | ||||||||
\(285\) | 44.4022 | − | 60.4807i | 0.00922863 | − | 0.0125704i | ||||
\(286\) | − | 3319.47i | − | 0.686309i | ||||||
\(287\) | 6337.95i | 1.30354i | ||||||||
\(288\) | 1954.35 | + | 6224.49i | 0.399865 | + | 1.27355i | ||||
\(289\) | 1072.51 | 0.218300 | ||||||||
\(290\) | 133.139 | 0.0269592 | ||||||||
\(291\) | 4096.35 | − | 5579.67i | 0.825196 | − | 1.12401i | ||||
\(292\) | − | 4142.02i | − | 0.830114i | ||||||
\(293\) | − | 1647.73i | − | 0.328538i | −0.986416 | − | 0.164269i | \(-0.947473\pi\) | ||
0.986416 | − | 0.164269i | \(-0.0525265\pi\) | |||||||
\(294\) | 4107.21 | + | 3015.33i | 0.814752 | + | 0.598154i | ||||
\(295\) | −35.1509 | + | 56.5423i | −0.00693752 | + | 0.0111594i | ||||
\(296\) | 1559.99i | 0.306327i | ||||||||
\(297\) | 762.492 | − | 2232.99i | 0.148971 | − | 0.436267i | ||||
\(298\) | −8066.29 | −1.56801 | ||||||||
\(299\) | 2071.72i | 0.400705i | ||||||||
\(300\) | −3588.95 | − | 2634.84i | −0.690693 | − | 0.507076i | ||||
\(301\) | 1441.77i | 0.276088i | ||||||||
\(302\) | 5211.29i | 0.992967i | ||||||||
\(303\) | −7584.62 | − | 5568.29i | −1.43804 | − | 1.05574i | ||||
\(304\) | 7061.35 | 1.33222 | ||||||||
\(305\) | −39.7337 | −0.00745948 | ||||||||
\(306\) | 6153.06 | − | 1931.92i | 1.14950 | − | 0.360917i | ||||
\(307\) | −9335.42 | −1.73551 | −0.867753 | − | 0.496995i | \(-0.834437\pi\) | ||||
−0.867753 | + | 0.496995i | \(0.834437\pi\) | |||||||
\(308\) | −2818.34 | −0.521395 | ||||||||
\(309\) | −4234.74 | + | 5768.18i | −0.779631 | + | 1.06194i | ||||
\(310\) | 173.280 | 0.0317472 | ||||||||
\(311\) | − | 2094.69i | − | 0.381925i | −0.981597 | − | 0.190963i | \(-0.938839\pi\) | ||
0.981597 | − | 0.190963i | \(-0.0611610\pi\) | |||||||
\(312\) | 694.353 | − | 945.785i | 0.125994 | − | 0.171617i | ||||
\(313\) | − | 2126.17i | − | 0.383956i | −0.981399 | − | 0.191978i | \(-0.938510\pi\) | ||
0.981399 | − | 0.191978i | \(-0.0614903\pi\) | |||||||
\(314\) | 8746.86i | 1.57202i | ||||||||
\(315\) | −92.4987 | + | 29.0425i | −0.0165451 | + | 0.00519479i | ||||
\(316\) | 3405.54 | 0.606255 | ||||||||
\(317\) | 310.556i | 0.0550239i | 0.999621 | + | 0.0275119i | \(0.00875842\pi\) | ||||
−0.999621 | + | 0.0275119i | \(0.991242\pi\) | |||||||
\(318\) | 1253.34 | − | 1707.18i | 0.221018 | − | 0.301051i | ||||
\(319\) | − | 3954.50i | − | 0.694074i | ||||||
\(320\) | 52.3863i | 0.00915151i | ||||||||
\(321\) | −3333.37 | + | 4540.42i | −0.579597 | + | 0.789476i | ||||
\(322\) | 3811.43 | 0.659637 | ||||||||
\(323\) | − | 6091.06i | − | 1.04927i | ||||||
\(324\) | −4100.99 | + | 2856.87i | −0.703187 | + | 0.489861i | ||||
\(325\) | 6399.76i | 1.09229i | ||||||||
\(326\) | 975.900 | 0.165798 | ||||||||
\(327\) | −1402.01 | + | 1909.69i | −0.237098 | + | 0.322954i | ||||
\(328\) | − | 1143.44i | − | 0.192487i | ||||||
\(329\) | −903.609 | −0.151421 | ||||||||
\(330\) | 29.2850 | − | 39.8894i | 0.00488511 | − | 0.00665406i | ||||
\(331\) | 3520.17 | 0.584550 | 0.292275 | − | 0.956334i | \(-0.405588\pi\) | ||||
0.292275 | + | 0.956334i | \(0.405588\pi\) | |||||||
\(332\) | 9987.38 | 1.65099 | ||||||||
\(333\) | −9113.22 | + | 2861.35i | −1.49970 | + | 0.470873i | ||||
\(334\) | 6033.42i | 0.988425i | ||||||||
\(335\) | 29.6232 | 0.00483131 | ||||||||
\(336\) | −7355.10 | − | 5399.79i | −1.19421 | − | 0.876733i | ||||
\(337\) | 5562.60i | 0.899152i | 0.893242 | + | 0.449576i | \(0.148425\pi\) | ||||
−0.893242 | + | 0.449576i | \(0.851575\pi\) | |||||||
\(338\) | 1638.68 | 0.263705 | ||||||||
\(339\) | 1493.83 | + | 1096.70i | 0.239332 | + | 0.175707i | ||||
\(340\) | 62.4184 | 0.00995622 | ||||||||
\(341\) | − | 5146.77i | − | 0.817341i | ||||||
\(342\) | 3064.05 | + | 9758.81i | 0.484458 | + | 1.54297i | ||||
\(343\) | 2165.35 | 0.340869 | ||||||||
\(344\) | − | 260.112i | − | 0.0407683i | ||||||
\(345\) | −18.2771 | + | 24.8955i | −0.00285220 | + | 0.00388500i | ||||
\(346\) | −9281.56 | −1.44214 | ||||||||
\(347\) | −679.142 | −0.105067 | −0.0525335 | − | 0.998619i | \(-0.516730\pi\) | ||||
−0.0525335 | + | 0.998619i | \(0.516730\pi\) | |||||||
\(348\) | −4957.03 | + | 6752.02i | −0.763577 | + | 1.04008i | ||||
\(349\) | − | 11855.2i | − | 1.81832i | −0.416452 | − | 0.909158i | \(-0.636727\pi\) | ||
0.416452 | − | 0.909158i | \(-0.363273\pi\) | |||||||
\(350\) | 11773.9 | 1.79812 | ||||||||
\(351\) | 6798.70 | + | 2321.53i | 1.03387 | + | 0.353032i | ||||
\(352\) | 4063.93 | 0.615364 | ||||||||
\(353\) | −8993.79 | −1.35607 | −0.678033 | − | 0.735032i | \(-0.737167\pi\) | ||||
−0.678033 | + | 0.735032i | \(0.737167\pi\) | |||||||
\(354\) | −3377.62 | − | 8424.45i | −0.507115 | − | 1.26484i | ||||
\(355\) | 96.9155 | 0.0144894 | ||||||||
\(356\) | 1000.89 | 0.149008 | ||||||||
\(357\) | −4657.81 | + | 6344.45i | −0.690525 | + | 0.940571i | ||||
\(358\) | 981.183 | 0.144852 | ||||||||
\(359\) | − | 10648.2i | − | 1.56543i | −0.622383 | − | 0.782713i | \(-0.713835\pi\) | ||
0.622383 | − | 0.782713i | \(-0.286165\pi\) | |||||||
\(360\) | 16.6878 | − | 5.23959i | 0.00244312 | − | 0.000767085i | ||||
\(361\) | 2801.48 | 0.408439 | ||||||||
\(362\) | 11241.5 | 1.63216 | ||||||||
\(363\) | 4390.18 | + | 3223.07i | 0.634778 | + | 0.466026i | ||||
\(364\) | − | 8580.88i | − | 1.23560i | ||||||
\(365\) | −88.7559 | −0.0127279 | ||||||||
\(366\) | 3205.60 | − | 4366.37i | 0.457812 | − | 0.623590i | ||||
\(367\) | − | 2110.22i | − | 0.300144i | −0.988675 | − | 0.150072i | \(-0.952049\pi\) | ||
0.988675 | − | 0.150072i | \(-0.0479505\pi\) | |||||||
\(368\) | −2906.64 | −0.411736 | ||||||||
\(369\) | 6679.76 | − | 2097.29i | 0.942369 | − | 0.295883i | ||||
\(370\) | −200.321 | −0.0281465 | ||||||||
\(371\) | 2584.64i | 0.361693i | ||||||||
\(372\) | −6451.56 | + | 8787.73i | −0.899188 | + | 1.22479i | ||||
\(373\) | −5335.64 | −0.740668 | −0.370334 | − | 0.928899i | \(-0.620757\pi\) | ||||
−0.370334 | + | 0.928899i | \(0.620757\pi\) | |||||||
\(374\) | − | 4017.29i | − | 0.555426i | ||||||
\(375\) | −112.930 | + | 153.823i | −0.0155511 | + | 0.0211823i | ||||
\(376\) | 163.021 | 0.0223595 | ||||||||
\(377\) | 12040.1 | 1.64482 | ||||||||
\(378\) | 4271.02 | − | 12507.8i | 0.581157 | − | 1.70194i | ||||
\(379\) | 4285.73 | 0.580853 | 0.290426 | − | 0.956897i | \(-0.406203\pi\) | ||||
0.290426 | + | 0.956897i | \(0.406203\pi\) | |||||||
\(380\) | 98.9963i | 0.0133642i | ||||||||
\(381\) | 1959.29 | + | 1438.42i | 0.263458 | + | 0.193419i | ||||
\(382\) | −3164.53 | −0.423853 | ||||||||
\(383\) | − | 5665.62i | − | 0.755873i | −0.925831 | − | 0.377937i | \(-0.876634\pi\) | ||
0.925831 | − | 0.377937i | \(-0.123366\pi\) | |||||||
\(384\) | 2339.97 | + | 1717.90i | 0.310966 | + | 0.228297i | ||||
\(385\) | 60.3918i | 0.00799442i | ||||||||
\(386\) | −15792.5 | −2.08243 | ||||||||
\(387\) | 1519.53 | − | 477.098i | 0.199592 | − | 0.0626673i | ||||
\(388\) | 9132.95i | 1.19499i | ||||||||
\(389\) | − | 522.623i | − | 0.0681183i | −0.999420 | − | 0.0340592i | \(-0.989157\pi\) | ||
0.999420 | − | 0.0340592i | \(-0.0108435\pi\) | |||||||
\(390\) | 121.450 | + | 89.1629i | 0.0157688 | + | 0.0115768i | ||||
\(391\) | 2507.24i | 0.324288i | ||||||||
\(392\) | 1121.84 | 0.144544 | ||||||||
\(393\) | −8400.30 | − | 6167.12i | −1.07822 | − | 0.791578i | ||||
\(394\) | − | 2971.10i | − | 0.379903i | ||||||
\(395\) | − | 72.9746i | − | 0.00929557i | ||||||
\(396\) | 932.616 | + | 2970.33i | 0.118348 | + | 0.376931i | ||||
\(397\) | 7111.99i | 0.899094i | 0.893257 | + | 0.449547i | \(0.148415\pi\) | ||||
−0.893257 | + | 0.449547i | \(0.851585\pi\) | |||||||
\(398\) | 2824.50 | 0.355727 | ||||||||
\(399\) | −10062.4 | − | 7387.33i | −1.26253 | − | 0.926890i | ||||
\(400\) | −8978.90 | −1.12236 | ||||||||
\(401\) | −6816.87 | −0.848923 | −0.424461 | − | 0.905446i | \(-0.639537\pi\) | ||||
−0.424461 | + | 0.905446i | \(0.639537\pi\) | |||||||
\(402\) | −2389.92 | + | 3255.33i | −0.296513 | + | 0.403883i | ||||
\(403\) | 15670.2 | 1.93694 | ||||||||
\(404\) | 12414.7 | 1.52885 | ||||||||
\(405\) | 61.2176 | + | 87.8767i | 0.00751093 | + | 0.0107818i | ||||
\(406\) | − | 22150.7i | − | 2.70769i | ||||||
\(407\) | 5949.96i | 0.724641i | ||||||||
\(408\) | 840.320 | − | 1144.61i | 0.101966 | − | 0.138889i | ||||
\(409\) | − | 15723.8i | − | 1.90096i | −0.310787 | − | 0.950480i | \(-0.600593\pi\) | ||
0.310787 | − | 0.950480i | \(-0.399407\pi\) | |||||||
\(410\) | 146.830 | 0.0176864 | ||||||||
\(411\) | −3617.84 | + | 4927.90i | −0.434197 | + | 0.591424i | ||||
\(412\) | − | 9441.50i | − | 1.12900i | ||||||
\(413\) | 9407.13 | + | 5848.17i | 1.12081 | + | 0.696779i | ||||
\(414\) | −1261.24 | − | 4016.99i | −0.149726 | − | 0.476870i | ||||
\(415\) | − | 214.011i | − | 0.0253142i | ||||||
\(416\) | 12373.3i | 1.45829i | ||||||||
\(417\) | −5107.69 | − | 3749.84i | −0.599820 | − | 0.440361i | ||||
\(418\) | 6371.47 | 0.745547 | ||||||||
\(419\) | 9134.66 | 1.06505 | 0.532526 | − | 0.846413i | \(-0.321243\pi\) | ||||
0.532526 | + | 0.846413i | \(0.321243\pi\) | |||||||
\(420\) | 75.7021 | − | 103.115i | 0.00879496 | − | 0.0119797i | ||||
\(421\) | 8009.90i | 0.927265i | 0.886027 | + | 0.463633i | \(0.153454\pi\) | ||||
−0.886027 | + | 0.463633i | \(0.846546\pi\) | |||||||
\(422\) | − | 13844.9i | − | 1.59706i | ||||||
\(423\) | 299.013 | + | 952.341i | 0.0343701 | + | 0.109467i | ||||
\(424\) | − | 466.298i | − | 0.0534091i | ||||||
\(425\) | 7745.12i | 0.883985i | ||||||||
\(426\) | −7818.86 | + | 10650.1i | −0.889260 | + | 1.21127i | ||||
\(427\) | 6610.61i | 0.749204i | ||||||||
\(428\) | − | 7431.87i | − | 0.839330i | ||||||
\(429\) | 2648.33 | − | 3607.31i | 0.298048 | − | 0.405974i | ||||
\(430\) | 33.4014 | 0.00374595 | ||||||||
\(431\) | 11276.8 | 1.26028 | 0.630142 | − | 0.776480i | \(-0.282997\pi\) | ||||
0.630142 | + | 0.776480i | \(0.282997\pi\) | |||||||
\(432\) | −3257.12 | + | 9538.61i | −0.362750 | + | 1.06233i | ||||
\(433\) | −733.247 | −0.0813801 | −0.0406901 | − | 0.999172i | \(-0.512956\pi\) | ||||
−0.0406901 | + | 0.999172i | \(0.512956\pi\) | |||||||
\(434\) | − | 28829.1i | − | 3.18857i | ||||||
\(435\) | 144.684 | + | 106.220i | 0.0159472 | + | 0.0117077i | ||||
\(436\) | − | 3125.83i | − | 0.343348i | ||||||
\(437\) | −3976.51 | −0.435291 | ||||||||
\(438\) | 7160.57 | − | 9753.49i | 0.781154 | − | 1.06402i | ||||
\(439\) | −3985.01 | −0.433244 | −0.216622 | − | 0.976256i | \(-0.569504\pi\) | ||||
−0.216622 | + | 0.976256i | \(0.569504\pi\) | |||||||
\(440\) | − | 10.8953i | − | 0.00118049i | ||||||
\(441\) | 2057.68 | + | 6553.59i | 0.222187 | + | 0.707654i | ||||
\(442\) | 12231.3 | 1.31625 | ||||||||
\(443\) | −14314.5 | −1.53522 | −0.767609 | − | 0.640918i | \(-0.778554\pi\) | ||||
−0.767609 | + | 0.640918i | \(0.778554\pi\) | |||||||
\(444\) | 7458.37 | − | 10159.1i | 0.797204 | − | 1.08588i | ||||
\(445\) | − | 21.4472i | − | 0.00228471i | ||||||
\(446\) | −14130.0 | −1.50017 | ||||||||
\(447\) | −8765.74 | − | 6435.42i | −0.927529 | − | 0.680950i | ||||
\(448\) | 8715.67 | 0.919145 | ||||||||
\(449\) | − | 3845.79i | − | 0.404219i | −0.979363 | − | 0.202109i | \(-0.935220\pi\) | ||
0.979363 | − | 0.202109i | \(-0.0647796\pi\) | |||||||
\(450\) | −3896.11 | − | 12408.9i | −0.408143 | − | 1.29991i | ||||
\(451\) | − | 4361.17i | − | 0.455343i | ||||||
\(452\) | −2445.13 | −0.254446 | ||||||||
\(453\) | −4157.65 | + | 5663.17i | −0.431222 | + | 0.587371i | ||||
\(454\) | 12019.5 | 1.24251 | ||||||||
\(455\) | −183.873 | −0.0189452 | ||||||||
\(456\) | 1815.36 | + | 1332.76i | 0.186430 | + | 0.136868i | ||||
\(457\) | − | 1970.01i | − | 0.201648i | −0.994904 | − | 0.100824i | \(-0.967852\pi\) | ||
0.994904 | − | 0.100824i | \(-0.0321479\pi\) | |||||||
\(458\) | − | 9352.03i | − | 0.954130i | ||||||
\(459\) | 8227.92 | + | 2809.56i | 0.836703 | + | 0.285706i | ||||
\(460\) | − | 40.7495i | − | 0.00413034i | ||||||
\(461\) | 18528.1i | 1.87188i | 0.352157 | + | 0.935941i | \(0.385448\pi\) | ||||
−0.352157 | + | 0.935941i | \(0.614552\pi\) | |||||||
\(462\) | −6636.52 | − | 4872.24i | −0.668310 | − | 0.490643i | ||||
\(463\) | 16647.8i | 1.67103i | 0.549465 | + | 0.835517i | \(0.314832\pi\) | ||||
−0.549465 | + | 0.835517i | \(0.685168\pi\) | |||||||
\(464\) | 16892.3i | 1.69010i | ||||||||
\(465\) | 188.305 | + | 138.245i | 0.0187795 | + | 0.0137870i | ||||
\(466\) | 9928.41 | 0.986963 | ||||||||
\(467\) | 9292.78 | 0.920811 | 0.460405 | − | 0.887709i | \(-0.347704\pi\) | ||||
0.460405 | + | 0.887709i | \(0.347704\pi\) | |||||||
\(468\) | −9043.64 | + | 2839.50i | −0.893253 | + | 0.280461i | ||||
\(469\) | − | 4928.51i | − | 0.485240i | ||||||
\(470\) | 20.9338i | 0.00205447i | ||||||||
\(471\) | −6978.38 | + | 9505.33i | −0.682690 | + | 0.929899i | ||||
\(472\) | −1697.15 | − | 1055.07i | −0.165503 | − | 0.102889i | ||||
\(473\) | − | 992.091i | − | 0.0964406i | ||||||
\(474\) | 8019.26 | + | 5887.38i | 0.777082 | + | 0.570498i | ||||
\(475\) | −12283.8 | −1.18657 | ||||||||
\(476\) | − | 10384.8i | − | 0.999967i | ||||||
\(477\) | 2724.04 | − | 855.286i | 0.261478 | − | 0.0820982i | ||||
\(478\) | − | 16808.5i | − | 1.60838i | ||||||
\(479\) | − | 19464.5i | − | 1.85670i | −0.371712 | − | 0.928348i | \(-0.621229\pi\) | ||
0.371712 | − | 0.928348i | \(-0.378771\pi\) | |||||||
\(480\) | −109.159 | + | 148.687i | −0.0103801 | + | 0.0141388i | ||||
\(481\) | −18115.6 | −1.71726 | ||||||||
\(482\) | −11721.3 | −1.10765 | ||||||||
\(483\) | 4141.93 | + | 3040.82i | 0.390196 | + | 0.286464i | ||||
\(484\) | −7185.95 | −0.674864 | ||||||||
\(485\) | 195.703 | 0.0183225 | ||||||||
\(486\) | −14595.7 | − | 362.376i | −1.36230 | − | 0.0338225i | ||||
\(487\) | −3403.75 | −0.316712 | −0.158356 | − | 0.987382i | \(-0.550619\pi\) | ||||
−0.158356 | + | 0.987382i | \(0.550619\pi\) | |||||||
\(488\) | − | 1192.63i | − | 0.110631i | ||||||
\(489\) | 1060.52 | + | 778.588i | 0.0980746 | + | 0.0720020i | ||||
\(490\) | 144.057i | 0.0132813i | ||||||||
\(491\) | 10503.8i | 0.965436i | 0.875776 | + | 0.482718i | \(0.160350\pi\) | ||||
−0.875776 | + | 0.482718i | \(0.839650\pi\) | |||||||
\(492\) | −5466.80 | + | 7446.38i | −0.500939 | + | 0.682335i | ||||
\(493\) | 14571.2 | 1.33114 | ||||||||
\(494\) | 19399.0i | 1.76680i | ||||||||
\(495\) | 63.6488 | − | 19.9843i | 0.00577939 | − | 0.00181460i | ||||
\(496\) | 21985.3i | 1.99026i | ||||||||
\(497\) | − | 16124.1i | − | 1.45526i | ||||||
\(498\) | 23517.9 | + | 17265.8i | 2.11619 | + | 1.55361i | ||||
\(499\) | −5259.11 | −0.471804 | −0.235902 | − | 0.971777i | \(-0.575804\pi\) | ||||
−0.235902 | + | 0.971777i | \(0.575804\pi\) | |||||||
\(500\) | − | 251.780i | − | 0.0225199i | ||||||
\(501\) | −4813.56 | + | 6556.59i | −0.429249 | + | 0.584685i | ||||
\(502\) | 23523.9i | 2.09148i | ||||||||
\(503\) | 18638.3 | 1.65217 | 0.826086 | − | 0.563544i | \(-0.190562\pi\) | ||||
0.826086 | + | 0.563544i | \(0.190562\pi\) | |||||||
\(504\) | −871.727 | − | 2776.40i | −0.0770432 | − | 0.245378i | ||||
\(505\) | − | 266.024i | − | 0.0234415i | ||||||
\(506\) | −2622.66 | −0.230418 | ||||||||
\(507\) | 1780.77 | + | 1307.36i | 0.155990 | + | 0.114521i | ||||
\(508\) | −3207.01 | −0.280095 | ||||||||
\(509\) | −11732.0 | −1.02163 | −0.510817 | − | 0.859689i | \(-0.670657\pi\) | ||||
−0.510817 | + | 0.859689i | \(0.670657\pi\) | |||||||
\(510\) | 146.981 | + | 107.907i | 0.0127616 | + | 0.00936900i | ||||
\(511\) | 14766.6i | 1.27835i | ||||||||
\(512\) | −14825.4 | −1.27968 | ||||||||
\(513\) | −4456.00 | + | 13049.6i | −0.383503 | + | 1.12310i | ||||
\(514\) | − | 4246.86i | − | 0.364438i | ||||||
\(515\) | −202.314 | −0.0173107 | ||||||||
\(516\) | −1243.60 | + | 1693.92i | −0.106098 | + | 0.144517i | ||||
\(517\) | 621.777 | 0.0528931 | ||||||||
\(518\) | 33328.1i | 2.82693i | ||||||||
\(519\) | −10086.4 | − | 7404.98i | −0.853070 | − | 0.626286i | ||||
\(520\) | 33.1726 | 0.00279753 | ||||||||
\(521\) | − | 13671.5i | − | 1.14964i | −0.818281 | − | 0.574818i | \(-0.805073\pi\) | ||
0.818281 | − | 0.574818i | \(-0.194927\pi\) | |||||||
\(522\) | −23345.3 | + | 7329.90i | −1.95746 | + | 0.614600i | ||||
\(523\) | −19787.6 | −1.65440 | −0.827198 | − | 0.561910i | \(-0.810067\pi\) | ||||
−0.827198 | + | 0.561910i | \(0.810067\pi\) | |||||||
\(524\) | 13749.8 | 1.14630 | ||||||||
\(525\) | 12794.9 | + | 9393.41i | 1.06364 | + | 0.780880i | ||||
\(526\) | 26172.2i | 2.16951i | ||||||||
\(527\) | 18964.4 | 1.56755 | ||||||||
\(528\) | 5061.08 | + | 3715.62i | 0.417150 | + | 0.306253i | ||||
\(529\) | −10530.2 | −0.865469 | ||||||||
\(530\) | 59.8781 | 0.00490743 | ||||||||
\(531\) | 3050.65 | − | 11849.7i | 0.249316 | − | 0.968422i | ||||
\(532\) | 16470.3 | 1.34225 | ||||||||
\(533\) | 13278.3 | 1.07907 | ||||||||
\(534\) | 2356.86 | + | 1730.30i | 0.190995 | + | 0.140220i | ||||
\(535\) | −159.252 | −0.0128692 | ||||||||
\(536\) | 889.157i | 0.0716525i | ||||||||
\(537\) | 1066.26 | + | 782.803i | 0.0856847 | + | 0.0629058i | ||||
\(538\) | −7764.16 | −0.622187 | ||||||||
\(539\) | 4278.79 | 0.341931 | ||||||||
\(540\) | −133.726 | − | 45.6631i | −0.0106568 | − | 0.00363894i | ||||
\(541\) | 12188.6i | 0.968630i | 0.874894 | + | 0.484315i | \(0.160931\pi\) | ||||
−0.874894 | + | 0.484315i | \(0.839069\pi\) | |||||||
\(542\) | 11445.8 | 0.907086 | ||||||||
\(543\) | 12216.3 | + | 8968.68i | 0.965475 | + | 0.708808i | ||||
\(544\) | 14974.4i | 1.18019i | ||||||||
\(545\) | −66.9808 | −0.00526448 | ||||||||
\(546\) | 14834.3 | − | 20206.0i | 1.16273 | − | 1.58376i | ||||
\(547\) | −10285.8 | −0.804003 | −0.402001 | − | 0.915639i | \(-0.631685\pi\) | ||||
−0.402001 | + | 0.915639i | \(0.631685\pi\) | |||||||
\(548\) | − | 8066.10i | − | 0.628771i | ||||||
\(549\) | 6967.12 | − | 2187.52i | 0.541620 | − | 0.170057i | ||||
\(550\) | −8101.68 | −0.628103 | ||||||||
\(551\) | 23110.1i | 1.78679i | ||||||||
\(552\) | −747.251 | − | 548.598i | −0.0576179 | − | 0.0423005i | ||||
\(553\) | −12141.0 | −0.933614 | ||||||||
\(554\) | −14119.3 | −1.08280 | ||||||||
\(555\) | −217.692 | − | 159.819i | −0.0166495 | − | 0.0122233i | ||||
\(556\) | 8360.40 | 0.637698 | ||||||||
\(557\) | 2994.00i | 0.227756i | 0.993495 | + | 0.113878i | \(0.0363272\pi\) | ||||
−0.993495 | + | 0.113878i | \(0.963673\pi\) | |||||||
\(558\) | −30383.8 | + | 9539.84i | −2.30511 | + | 0.723752i | ||||
\(559\) | 3020.58 | 0.228546 | ||||||||
\(560\) | − | 257.974i | − | 0.0194668i | ||||||
\(561\) | 3205.06 | − | 4365.64i | 0.241208 | − | 0.328552i | ||||
\(562\) | − | 16588.8i | − | 1.24512i | ||||||
\(563\) | 3200.12 | 0.239554 | 0.119777 | − | 0.992801i | \(-0.461782\pi\) | ||||
0.119777 | + | 0.992801i | \(0.461782\pi\) | |||||||
\(564\) | −1061.64 | − | 779.407i | −0.0792607 | − | 0.0581897i | ||||
\(565\) | 52.3948i | 0.00390135i | ||||||||
\(566\) | − | 20471.6i | − | 1.52030i | ||||||
\(567\) | 14620.3 | − | 10185.0i | 1.08289 | − | 0.754370i | ||||
\(568\) | 2908.97i | 0.214890i | ||||||||
\(569\) | 25341.0 | 1.86705 | 0.933524 | − | 0.358515i | \(-0.116717\pi\) | ||||
0.933524 | + | 0.358515i | \(0.116717\pi\) | |||||||
\(570\) | −171.141 | + | 233.113i | −0.0125760 | + | 0.0171299i | ||||
\(571\) | − | 2220.28i | − | 0.162724i | −0.996685 | − | 0.0813622i | \(-0.974073\pi\) | ||
0.996685 | − | 0.0813622i | \(-0.0259271\pi\) | |||||||
\(572\) | 5904.54i | 0.431610i | ||||||||
\(573\) | −3438.94 | − | 2524.72i | −0.250722 | − | 0.184069i | ||||
\(574\) | − | 24428.6i | − | 1.77636i | ||||||
\(575\) | 5056.36 | 0.366721 | ||||||||
\(576\) | −2884.11 | − | 9185.71i | −0.208630 | − | 0.664476i | ||||
\(577\) | −8017.59 | −0.578469 | −0.289234 | − | 0.957258i | \(-0.593401\pi\) | ||||
−0.289234 | + | 0.957258i | \(0.593401\pi\) | |||||||
\(578\) | −4133.82 | −0.297481 | ||||||||
\(579\) | −17161.9 | − | 12599.5i | −1.23182 | − | 0.904350i | ||||
\(580\) | −236.822 | −0.0169543 | ||||||||
\(581\) | −35605.7 | −2.54247 | ||||||||
\(582\) | −15788.7 | + | 21506.0i | −1.12451 | + | 1.53170i | ||||
\(583\) | − | 1778.51i | − | 0.126343i | ||||||
\(584\) | − | 2664.06i | − | 0.188766i | ||||||
\(585\) | 60.8453 | + | 193.789i | 0.00430025 | + | 0.0136960i | ||||
\(586\) | 6350.93i | 0.447704i | ||||||||
\(587\) | −18610.1 | −1.30856 | −0.654278 | − | 0.756254i | \(-0.727027\pi\) | ||||
−0.654278 | + | 0.756254i | \(0.727027\pi\) | |||||||
\(588\) | −7305.73 | − | 5363.54i | −0.512386 | − | 0.376171i | ||||
\(589\) | 30077.7i | 2.10412i | ||||||||
\(590\) | 135.484 | − | 217.933i | 0.00945386 | − | 0.0152071i | ||||
\(591\) | 2370.39 | − | 3228.73i | 0.164983 | − | 0.224725i | ||||
\(592\) | − | 25416.3i | − | 1.76453i | ||||||
\(593\) | − | 9313.64i | − | 0.644967i | −0.946575 | − | 0.322484i | \(-0.895482\pi\) | ||
0.946575 | − | 0.322484i | \(-0.104518\pi\) | |||||||
\(594\) | −2938.90 | + | 8606.71i | −0.203005 | + | 0.594507i | ||||
\(595\) | −222.526 | −0.0153323 | ||||||||
\(596\) | 14348.0 | 0.986101 | ||||||||
\(597\) | 3069.42 | + | 2253.43i | 0.210424 | + | 0.154484i | ||||
\(598\) | − | 7985.12i | − | 0.546047i | ||||||
\(599\) | − | 17777.5i | − | 1.21263i | −0.795223 | − | 0.606317i | \(-0.792646\pi\) | ||
0.795223 | − | 0.606317i | \(-0.207354\pi\) | |||||||
\(600\) | −2308.33 | − | 1694.67i | −0.157062 | − | 0.115308i | ||||
\(601\) | − | 17209.0i | − | 1.16800i | −0.811753 | − | 0.584001i | \(-0.801486\pi\) | ||
0.811753 | − | 0.584001i | \(-0.198514\pi\) | |||||||
\(602\) | − | 5557.09i | − | 0.376229i | ||||||
\(603\) | −5194.31 | + | 1630.89i | −0.350793 | + | 0.110141i | ||||
\(604\) | − | 9269.62i | − | 0.624463i | ||||||
\(605\) | 153.982i | 0.0103475i | ||||||||
\(606\) | 29233.7 | + | 21462.1i | 1.95963 | + | 1.43868i | ||||
\(607\) | 7356.60 | 0.491920 | 0.245960 | − | 0.969280i | \(-0.420897\pi\) | ||||
0.245960 | + | 0.969280i | \(0.420897\pi\) | |||||||
\(608\) | −23749.6 | −1.58416 | ||||||||
\(609\) | 17672.2 | − | 24071.5i | 1.17588 | − | 1.60168i | ||||
\(610\) | 153.147 | 0.0101652 | ||||||||
\(611\) | 1893.10i | 0.125346i | ||||||||
\(612\) | −10944.8 | + | 3436.42i | −0.722904 | + | 0.226976i | ||||
\(613\) | 3287.75i | 0.216625i | 0.994117 | + | 0.108312i | \(0.0345447\pi\) | ||||
−0.994117 | + | 0.108312i | \(0.965455\pi\) | |||||||
\(614\) | 35981.9 | 2.36500 | ||||||||
\(615\) | 159.562 | + | 117.144i | 0.0104621 | + | 0.00768079i | ||||
\(616\) | −1812.69 | −0.118564 | ||||||||
\(617\) | 17552.0i | 1.14524i | 0.819820 | + | 0.572622i | \(0.194074\pi\) | ||||
−0.819820 | + | 0.572622i | \(0.805926\pi\) | |||||||
\(618\) | 16322.1 | − | 22232.5i | 1.06241 | − | 1.44713i | ||||
\(619\) | 24087.0 | 1.56404 | 0.782019 | − | 0.623254i | \(-0.214190\pi\) | ||||
0.782019 | + | 0.623254i | \(0.214190\pi\) | |||||||
\(620\) | −308.223 | −0.0199654 | ||||||||
\(621\) | 1834.21 | − | 5371.55i | 0.118525 | − | 0.347106i | ||||
\(622\) | 8073.64i | 0.520456i | ||||||||
\(623\) | −3568.24 | −0.229468 | ||||||||
\(624\) | −11312.8 | + | 15409.3i | −0.725760 | + | 0.988564i | ||||
\(625\) | 15616.9 | 0.999482 | ||||||||
\(626\) | 8194.99i | 0.523223i | ||||||||
\(627\) | 6923.95 | + | 5083.26i | 0.441015 | + | 0.323773i | ||||
\(628\) | − | 15558.6i | − | 0.988621i | ||||||
\(629\) | −21923.9 | −1.38977 | ||||||||
\(630\) | 356.522 | − | 111.940i | 0.0225463 | − | 0.00707902i | ||||
\(631\) | −12126.1 | −0.765026 | −0.382513 | − | 0.923950i | \(-0.624941\pi\) | ||||
−0.382513 | + | 0.923950i | \(0.624941\pi\) | |||||||
\(632\) | 2190.37 | 0.137861 | ||||||||
\(633\) | 11045.7 | − | 15045.5i | 0.693567 | − | 0.944714i | ||||
\(634\) | − | 1196.99i | − | 0.0749818i | ||||||
\(635\) | 68.7204i | 0.00429462i | ||||||||
\(636\) | −2229.38 | + | 3036.67i | −0.138995 | + | 0.189326i | ||||
\(637\) | 13027.5i | 0.810310i | ||||||||
\(638\) | 15242.0i | 0.945825i | ||||||||
\(639\) | −16993.7 | + | 5335.64i | −1.05205 | + | 0.330320i | ||||
\(640\) | 82.0724i | 0.00506906i | ||||||||
\(641\) | − | 15578.1i | − | 0.959905i | −0.877294 | − | 0.479952i | \(-0.840654\pi\) | ||
0.877294 | − | 0.479952i | \(-0.159346\pi\) | |||||||
\(642\) | 12848.0 | − | 17500.3i | 0.789826 | − | 1.07583i | ||||
\(643\) | −12027.9 | −0.737692 | −0.368846 | − | 0.929491i | \(-0.620247\pi\) | ||||
−0.368846 | + | 0.929491i | \(0.620247\pi\) | |||||||
\(644\) | −6779.62 | −0.414836 | ||||||||
\(645\) | 36.2977 | + | 26.6481i | 0.00221584 | + | 0.00162677i | ||||
\(646\) | 23477.0i | 1.42986i | ||||||||
\(647\) | 11285.9i | 0.685775i | 0.939376 | + | 0.342888i | \(0.111405\pi\) | ||||
−0.939376 | + | 0.342888i | \(0.888595\pi\) | |||||||
\(648\) | −2637.67 | + | 1837.48i | −0.159903 | + | 0.111393i | ||||
\(649\) | −6473.08 | − | 4024.15i | −0.391511 | − | 0.243393i | ||||
\(650\) | − | 24666.9i | − | 1.48848i | ||||||
\(651\) | 23000.3 | − | 31328.9i | 1.38472 | − | 1.88614i | ||||
\(652\) | −1735.89 | −0.104268 | ||||||||
\(653\) | − | 9149.02i | − | 0.548283i | −0.961689 | − | 0.274141i | \(-0.911606\pi\) | ||
0.961689 | − | 0.274141i | \(-0.0883936\pi\) | |||||||
\(654\) | 5403.81 | − | 7360.59i | 0.323098 | − | 0.440095i | ||||
\(655\) | − | 294.634i | − | 0.0175760i | ||||||
\(656\) | 18629.5i | 1.10878i | ||||||||
\(657\) | 15563.0 | − | 4886.42i | 0.924154 | − | 0.290164i | ||||
\(658\) | 3482.82 | 0.206344 | ||||||||
\(659\) | −4684.57 | −0.276912 | −0.138456 | − | 0.990369i | \(-0.544214\pi\) | ||||
−0.138456 | + | 0.990369i | \(0.544214\pi\) | |||||||
\(660\) | −52.0909 | + | 70.9536i | −0.00307218 | + | 0.00418464i | ||||
\(661\) | −23736.6 | −1.39675 | −0.698373 | − | 0.715734i | \(-0.746092\pi\) | ||||
−0.698373 | + | 0.715734i | \(0.746092\pi\) | |||||||
\(662\) | −13567.9 | −0.796575 | ||||||||
\(663\) | 13291.9 | + | 9758.32i | 0.778604 | + | 0.571616i | ||||
\(664\) | 6423.67 | 0.375432 | ||||||||
\(665\) | − | 352.929i | − | 0.0205805i | ||||||
\(666\) | 35125.4 | − | 11028.6i | 2.04367 | − | 0.641666i | ||||
\(667\) | − | 9512.72i | − | 0.552225i | ||||||
\(668\) | − | 10732.0i | − | 0.621607i | ||||||
\(669\) | −15355.3 | − | 11273.2i | −0.887399 | − | 0.651489i | ||||
\(670\) | −114.178 | −0.00658370 | ||||||||
\(671\) | − | 4548.79i | − | 0.261705i | ||||||
\(672\) | 24737.6 | + | 18161.2i | 1.42005 | + | 1.04253i | ||||
\(673\) | − | 27614.0i | − | 1.58164i | −0.612052 | − | 0.790818i | \(-0.709656\pi\) | ||
0.612052 | − | 0.790818i | \(-0.290344\pi\) | |||||||
\(674\) | − | 21440.2i | − | 1.22529i | ||||||
\(675\) | 5666.05 | − | 16593.3i | 0.323091 | − | 0.946185i | ||||
\(676\) | −2914.81 | −0.165840 | ||||||||
\(677\) | 13798.0i | 0.783306i | 0.920113 | + | 0.391653i | \(0.128097\pi\) | ||||
−0.920113 | + | 0.391653i | \(0.871903\pi\) | |||||||
\(678\) | −5757.72 | − | 4227.06i | −0.326141 | − | 0.239438i | ||||
\(679\) | − | 32559.6i | − | 1.84024i | ||||||
\(680\) | 40.1462 | 0.00226402 | ||||||||
\(681\) | 13061.7 | + | 9589.31i | 0.734986 | + | 0.539593i | ||||
\(682\) | 19837.4i | 1.11380i | ||||||||
\(683\) | −16270.4 | −0.911522 | −0.455761 | − | 0.890102i | \(-0.650633\pi\) | ||||
−0.455761 | + | 0.890102i | \(0.650633\pi\) | |||||||
\(684\) | −5450.20 | − | 17358.6i | −0.304669 | − | 0.970353i | ||||
\(685\) | −172.842 | −0.00964080 | ||||||||
\(686\) | −8346.00 | −0.464507 | ||||||||
\(687\) | 7461.20 | − | 10163.0i | 0.414356 | − | 0.564398i | ||||
\(688\) | 4237.89i | 0.234837i | ||||||||
\(689\) | 5414.94 | 0.299409 | ||||||||
\(690\) | 70.4463 | − | 95.9556i | 0.00388673 | − | 0.00529415i | ||||
\(691\) | − | 27102.8i | − | 1.49210i | −0.665891 | − | 0.746049i | \(-0.731948\pi\) | ||
0.665891 | − | 0.746049i | \(-0.268052\pi\) | |||||||
\(692\) | 16509.7 | 0.906941 | ||||||||
\(693\) | −3324.85 | − | 10589.4i | −0.182252 | − | 0.580461i | ||||
\(694\) | 2617.64 | 0.143176 | ||||||||
\(695\) | − | 179.148i | − | 0.00977767i | ||||||
\(696\) | −3188.26 | + | 4342.76i | −0.173636 | + | 0.236511i | ||||
\(697\) | 16069.7 | 0.873288 | ||||||||
\(698\) | 45693.8i | 2.47785i | ||||||||
\(699\) | 10789.3 | + | 7921.04i | 0.583820 | + | 0.428614i | ||||
\(700\) | −20942.9 | −1.13081 | ||||||||
\(701\) | 30512.1 | 1.64398 | 0.821988 | − | 0.569505i | \(-0.192865\pi\) | ||||
0.821988 | + | 0.569505i | \(0.192865\pi\) | |||||||
\(702\) | −26204.5 | − | 8947.97i | −1.40887 | − | 0.481082i | ||||
\(703\) | − | 34771.5i | − | 1.86548i | ||||||
\(704\) | −5997.29 | −0.321067 | ||||||||
\(705\) | −16.7013 | + | 22.7490i | −0.000892208 | + | 0.00121529i | ||||
\(706\) | 34665.1 | 1.84793 | ||||||||
\(707\) | −44259.3 | −2.35437 | ||||||||
\(708\) | 6007.98 | + | 14985.1i | 0.318917 | + | 0.795442i | ||||
\(709\) | 27019.6 | 1.43123 | 0.715615 | − | 0.698495i | \(-0.246146\pi\) | ||||
0.715615 | + | 0.698495i | \(0.246146\pi\) | |||||||
\(710\) | −373.545 | −0.0197449 | ||||||||
\(711\) | 4017.59 | + | 12795.8i | 0.211915 | + | 0.674936i | ||||
\(712\) | 643.750 | 0.0338842 | ||||||||
\(713\) | − | 12380.8i | − | 0.650300i | ||||||
\(714\) | 17952.8 | − | 24453.7i | 0.940989 | − | 1.28173i | ||||
\(715\) | 126.524 | 0.00661778 | ||||||||
\(716\) | −1745.29 | −0.0910956 | ||||||||
\(717\) | 13410.1 | − | 18266.1i | 0.698480 | − | 0.951407i | ||||
\(718\) | 41041.6i | 2.13323i | ||||||||
\(719\) | 29232.7 | 1.51627 | 0.758135 | − | 0.652098i | \(-0.226111\pi\) | ||||
0.758135 | + | 0.652098i | \(0.226111\pi\) | |||||||
\(720\) | −271.887 | + | 85.3663i | −0.0140731 | + | 0.00441863i | ||||
\(721\) | 33659.7i | 1.73863i | ||||||||
\(722\) | −10797.9 | −0.556585 | ||||||||
\(723\) | −12737.7 | − | 9351.42i | −0.655213 | − | 0.481028i | ||||
\(724\) | −19996.0 | −1.02644 | ||||||||
\(725\) | − | 29385.8i | − | 1.50532i | ||||||
\(726\) | −16921.2 | − | 12422.8i | −0.865022 | − | 0.635060i | ||||
\(727\) | −2919.43 | −0.148935 | −0.0744676 | − | 0.997223i | \(-0.523726\pi\) | ||||
−0.0744676 | + | 0.997223i | \(0.523726\pi\) | |||||||
\(728\) | − | 5519.04i | − | 0.280974i | ||||||
\(729\) | −15572.3 | − | 12038.5i | −0.791152 | − | 0.611619i | ||||
\(730\) | 342.096 | 0.0173446 | ||||||||
\(731\) | 3655.57 | 0.184960 | ||||||||
\(732\) | −5701.98 | + | 7766.72i | −0.287912 | + | 0.392167i | ||||
\(733\) | 21990.4 | 1.10809 | 0.554047 | − | 0.832485i | \(-0.313083\pi\) | ||||
0.554047 | + | 0.832485i | \(0.313083\pi\) | |||||||
\(734\) | 8133.52i | 0.409010i | ||||||||
\(735\) | −114.931 | + | 156.548i | −0.00576774 | + | 0.00785630i | ||||
\(736\) | 9775.95 | 0.489601 | ||||||||
\(737\) | 3391.33i | 0.169500i | ||||||||
\(738\) | −25746.1 | + | 8083.68i | −1.28418 | + | 0.403204i | ||||
\(739\) | 1784.00i | 0.0888033i | 0.999014 | + | 0.0444017i | \(0.0141381\pi\) | ||||
−0.999014 | + | 0.0444017i | \(0.985862\pi\) | |||||||
\(740\) | 356.323 | 0.0177009 | ||||||||
\(741\) | −15476.8 | + | 21081.1i | −0.767280 | + | 1.04512i | ||||
\(742\) | − | 9962.10i | − | 0.492884i | ||||||
\(743\) | 3104.70i | 0.153298i | 0.997058 | + | 0.0766491i | \(0.0244221\pi\) | ||||
−0.997058 | + | 0.0766491i | \(0.975578\pi\) | |||||||
\(744\) | −4149.51 | + | 5652.08i | −0.204473 | + | 0.278515i | ||||
\(745\) | − | 307.451i | − | 0.0151197i | ||||||
\(746\) | 20565.4 | 1.00932 | ||||||||
\(747\) | 11782.3 | + | 37526.0i | 0.577098 | + | 1.83802i | ||||
\(748\) | 7145.79i | 0.349300i | ||||||||
\(749\) | 26495.2i | 1.29254i | ||||||||
\(750\) | 435.269 | − | 592.884i | 0.0211917 | − | 0.0288654i | ||||
\(751\) | − | 4396.17i | − | 0.213607i | −0.994280 | − | 0.106803i | \(-0.965938\pi\) | ||
0.994280 | − | 0.106803i | \(-0.0340615\pi\) | |||||||
\(752\) | −2656.03 | −0.128797 | ||||||||
\(753\) | −18767.7 | + | 25563.7i | −0.908279 | + | 1.23718i | ||||
\(754\) | −46406.7 | −2.24142 | ||||||||
\(755\) | −198.631 | −0.00957474 | ||||||||
\(756\) | −7597.10 | + | 22248.4i | −0.365482 | + | 1.07033i | ||||
\(757\) | 5977.58 | 0.287000 | 0.143500 | − | 0.989650i | \(-0.454164\pi\) | ||||
0.143500 | + | 0.989650i | \(0.454164\pi\) | |||||||
\(758\) | −16518.7 | −0.791537 | ||||||||
\(759\) | −2850.08 | − | 2092.40i | −0.136300 | − | 0.100065i | ||||
\(760\) | 63.6723i | 0.00303900i | ||||||||
\(761\) | 20959.5i | 0.998400i | 0.866487 | + | 0.499200i | \(0.166373\pi\) | ||||
−0.866487 | + | 0.499200i | \(0.833627\pi\) | |||||||
\(762\) | −7551.76 | − | 5544.16i | −0.359018 | − | 0.263575i | ||||
\(763\) | 11143.8i | 0.528745i | ||||||||
\(764\) | 5628.94 | 0.266555 | ||||||||
\(765\) | 73.6363 | + | 234.527i | 0.00348016 | + | 0.0110841i | ||||
\(766\) | 21837.2i | 1.03004i | ||||||||
\(767\) | 12252.2 | − | 19708.3i | 0.576793 | − | 0.927806i | ||||
\(768\) | −20967.7 | − | 15393.6i | −0.985166 | − | 0.723264i | ||||
\(769\) | − | 37081.2i | − | 1.73886i | −0.494056 | − | 0.869430i | \(-0.664486\pi\) | ||
0.494056 | − | 0.869430i | \(-0.335514\pi\) | |||||||
\(770\) | − | 232.771i | − | 0.0108941i | ||||||
\(771\) | 3388.21 | − | 4615.12i | 0.158266 | − | 0.215576i | ||||
\(772\) | 28091.1 | 1.30961 | ||||||||
\(773\) | 3721.27 | 0.173150 | 0.0865749 | − | 0.996245i | \(-0.472408\pi\) | ||||
0.0865749 | + | 0.996245i | \(0.472408\pi\) | |||||||
\(774\) | −5856.78 | + | 1838.90i | −0.271987 | + | 0.0853977i | ||||
\(775\) | − | 38245.5i | − | 1.77267i | ||||||
\(776\) | 5874.12i | 0.271738i | ||||||||
\(777\) | −26589.6 | + | 36218.0i | −1.22767 | + | 1.67222i | ||||
\(778\) | 2014.37i | 0.0928259i | ||||||||
\(779\) | 25486.6i | 1.17221i | ||||||||
\(780\) | −216.030 | − | 158.599i | −0.00991680 | − | 0.00728047i | ||||
\(781\) | 11095.1i | 0.508340i | ||||||||
\(782\) | − | 9663.76i | − | 0.441912i | ||||||
\(783\) | −31217.6 | − | 10659.8i | −1.42481 | − | 0.486525i | ||||
\(784\) | −18277.6 | −0.832617 | ||||||||
\(785\) | −333.392 | −0.0151583 | ||||||||
\(786\) | 32377.6 | + | 23770.2i | 1.46930 | + | 1.07869i | ||||
\(787\) | 19741.9 | 0.894184 | 0.447092 | − | 0.894488i | \(-0.352460\pi\) | ||||
0.447092 | + | 0.894488i | \(0.352460\pi\) | |||||||
\(788\) | 5284.87i | 0.238916i | ||||||||
\(789\) | −20880.6 | + | 28441.7i | −0.942168 | + | 1.28334i | ||||
\(790\) | 281.269i | 0.0126672i | ||||||||
\(791\) | 8717.08 | 0.391838 | ||||||||
\(792\) | 599.839 | + | 1910.45i | 0.0269121 | + | 0.0857133i | ||||
\(793\) | 13849.5 | 0.620190 | ||||||||
\(794\) | − | 27412.0i | − | 1.22521i | ||||||
\(795\) | 65.0703 | + | 47.7717i | 0.00290290 | + | 0.00213118i | ||||
\(796\) | −5024.11 | −0.223712 | ||||||||
\(797\) | −16127.4 | −0.716766 | −0.358383 | − | 0.933575i | \(-0.616672\pi\) | ||||
−0.358383 | + | 0.933575i | \(0.616672\pi\) | |||||||
\(798\) | 38783.8 | + | 28473.3i | 1.72046 | + | 1.26309i | ||||
\(799\) | 2291.07i | 0.101442i | ||||||||
\(800\) | 30198.9 | 1.33462 | ||||||||
\(801\) | 1180.77 | + | 3760.68i | 0.0520854 | + | 0.165889i | ||||
\(802\) | 26274.5 | 1.15684 | ||||||||
\(803\) | − | 10161.0i | − | 0.446541i | ||||||
\(804\) | 4251.08 | − | 5790.44i | 0.186473 | − | 0.253997i | ||||
\(805\) | 145.275i | 0.00636059i | ||||||||
\(806\) | −60398.2 | −2.63950 | ||||||||
\(807\) | −8437.41 | − | 6194.37i | −0.368043 | − | 0.270201i | ||||
\(808\) | 7984.87 | 0.347657 | ||||||||
\(809\) | 1411.49 | 0.0613417 | 0.0306708 | − | 0.999530i | \(-0.490236\pi\) | ||||
0.0306708 | + | 0.999530i | \(0.490236\pi\) | |||||||
\(810\) | −235.953 | − | 338.707i | −0.0102353 | − | 0.0146925i | ||||
\(811\) | 36185.1i | 1.56675i | 0.621551 | + | 0.783374i | \(0.286503\pi\) | ||||
−0.621551 | + | 0.783374i | \(0.713497\pi\) | |||||||
\(812\) | 39400.8i | 1.70283i | ||||||||
\(813\) | 12438.3 | + | 9131.66i | 0.536570 | + | 0.393925i | ||||
\(814\) | − | 22933.2i | − | 0.987479i | ||||||
\(815\) | 37.1970i | 0.00159872i | ||||||||
\(816\) | −13691.0 | + | 18648.6i | −0.587353 | + | 0.800039i | ||||
\(817\) | 5797.77i | 0.248272i | ||||||||
\(818\) | 60604.9i | 2.59047i | ||||||||
\(819\) | 32241.3 | − | 10123.0i | 1.37558 | − | 0.431901i | ||||
\(820\) | −261.176 | −0.0111227 | ||||||||
\(821\) | 8784.58 | 0.373428 | 0.186714 | − | 0.982414i | \(-0.440216\pi\) | ||||
0.186714 | + | 0.982414i | \(0.440216\pi\) | |||||||
\(822\) | 13944.4 | − | 18993.8i | 0.591686 | − | 0.805942i | ||||
\(823\) | − | 1228.55i | − | 0.0520348i | −0.999661 | − | 0.0260174i | \(-0.991717\pi\) | ||
0.999661 | − | 0.0260174i | \(-0.00828254\pi\) | |||||||
\(824\) | − | 6072.57i | − | 0.256733i | ||||||
\(825\) | −8804.20 | − | 6463.65i | −0.371543 | − | 0.272770i | ||||
\(826\) | −36258.3 | − | 22540.8i | −1.52734 | − | 0.949511i | ||||
\(827\) | − | 19099.1i | − | 0.803073i | −0.915843 | − | 0.401537i | \(-0.868476\pi\) | ||
0.915843 | − | 0.401537i | \(-0.131524\pi\) | |||||||
\(828\) | 2243.45 | + | 7145.25i | 0.0941608 | + | 0.299897i | ||||
\(829\) | −5765.28 | −0.241540 | −0.120770 | − | 0.992681i | \(-0.538536\pi\) | ||||
−0.120770 | + | 0.992681i | \(0.538536\pi\) | |||||||
\(830\) | 824.873i | 0.0344961i | ||||||||
\(831\) | −15343.6 | − | 11264.6i | −0.640509 | − | 0.470233i | ||||
\(832\) | − | 18259.7i | − | 0.760868i | ||||||
\(833\) | 15766.1i | 0.655779i | ||||||||
\(834\) | 19686.8 | + | 14453.2i | 0.817383 | + | 0.600086i | ||||
\(835\) | −229.967 | −0.00953095 | ||||||||
\(836\) | −11333.3 | −0.468864 | ||||||||
\(837\) | −40629.5 | − | 13873.6i | −1.67785 | − | 0.572931i | ||||
\(838\) | −35208.1 | −1.45136 | ||||||||
\(839\) | −37576.8 | −1.54624 | −0.773121 | − | 0.634259i | \(-0.781305\pi\) | ||||
−0.773121 | + | 0.634259i | \(0.781305\pi\) | |||||||
\(840\) | 48.6900 | − | 66.3211i | 0.00199996 | − | 0.00272416i | ||||
\(841\) | −30895.6 | −1.26678 | ||||||||
\(842\) | − | 30872.9i | − | 1.26360i | ||||||
\(843\) | 13234.8 | − | 18027.2i | 0.540724 | − | 0.736526i | ||||
\(844\) | 24626.8i | 1.00437i | ||||||||
\(845\) | 62.4591i | 0.00254279i | ||||||||
\(846\) | −1152.50 | − | 3670.65i | −0.0468366 | − | 0.149172i | ||||
\(847\) | 25618.4 | 1.03927 | ||||||||
\(848\) | 7597.19i | 0.307652i | ||||||||
\(849\) | 16332.6 | − | 22246.8i | 0.660228 | − | 0.899303i | ||||
\(850\) | − | 29852.3i | − | 1.20462i | ||||||
\(851\) | 14312.9i | 0.576544i | ||||||||
\(852\) | 13907.9 | − | 18944.0i | 0.559243 | − | 0.761751i | ||||
\(853\) | 21853.4 | 0.877193 | 0.438596 | − | 0.898684i | \(-0.355476\pi\) | ||||
0.438596 | + | 0.898684i | \(0.355476\pi\) | |||||||
\(854\) | − | 25479.5i | − | 1.02095i | ||||||
\(855\) | −371.963 | + | 116.788i | −0.0148782 | + | 0.00467142i | ||||
\(856\) | − | 4780.02i | − | 0.190862i | ||||||
\(857\) | −343.264 | −0.0136822 | −0.00684111 | − | 0.999977i | \(-0.502178\pi\) | ||||
−0.00684111 | + | 0.999977i | \(0.502178\pi\) | |||||||
\(858\) | −10207.6 | + | 13903.8i | −0.406154 | + | 0.553226i | ||||
\(859\) | 37138.8i | 1.47516i | 0.675261 | + | 0.737579i | \(0.264031\pi\) | ||||
−0.675261 | + | 0.737579i | \(0.735969\pi\) | |||||||
\(860\) | −59.4129 | −0.00235577 | ||||||||
\(861\) | 19489.5 | − | 26546.9i | 0.771430 | − | 1.05077i | ||||
\(862\) | −43464.5 | −1.71741 | ||||||||
\(863\) | −5382.33 | −0.212302 | −0.106151 | − | 0.994350i | \(-0.533853\pi\) | ||||
−0.106151 | + | 0.994350i | \(0.533853\pi\) | |||||||
\(864\) | 10954.7 | − | 32081.4i | 0.431351 | − | 1.26323i | ||||
\(865\) | − | 353.772i | − | 0.0139059i | ||||||
\(866\) | 2826.18 | 0.110898 | ||||||||
\(867\) | −4492.27 | − | 3298.02i | −0.175969 | − | 0.129189i | ||||
\(868\) | 51280.0i | 2.00525i | ||||||||
\(869\) | 8354.28 | 0.326122 | ||||||||
\(870\) | −557.660 | − | 409.409i | −0.0217315 | − | 0.0159543i | ||||
\(871\) | −10325.4 | −0.401681 | ||||||||
\(872\) | − | 2010.46i | − | 0.0780767i | ||||||
\(873\) | −34315.6 | + | 10774.3i | −1.33036 | + | 0.417704i | ||||
\(874\) | 15326.8 | 0.593178 | ||||||||
\(875\) | 897.616i | 0.0346800i | ||||||||
\(876\) | −12736.9 | + | 17349.1i | −0.491257 | + | 0.669146i | ||||
\(877\) | 33387.1 | 1.28552 | 0.642761 | − | 0.766066i | \(-0.277789\pi\) | ||||
0.642761 | + | 0.766066i | \(0.277789\pi\) | |||||||
\(878\) | 15359.6 | 0.590388 | ||||||||
\(879\) | −5066.87 | + | 6901.63i | −0.194427 | + | 0.264831i | ||||
\(880\) | 177.513i | 0.00679996i | ||||||||
\(881\) | 6166.90 | 0.235832 | 0.117916 | − | 0.993024i | \(-0.462379\pi\) | ||||
0.117916 | + | 0.993024i | \(0.462379\pi\) | |||||||
\(882\) | −7930.99 | − | 25259.8i | −0.302778 | − | 0.964331i | ||||
\(883\) | 2447.98 | 0.0932966 | 0.0466483 | − | 0.998911i | \(-0.485146\pi\) | ||||
0.0466483 | + | 0.998911i | \(0.485146\pi\) | |||||||
\(884\) | −21756.5 | −0.827772 | ||||||||
\(885\) | 321.103 | − | 128.740i | 0.0121963 | − | 0.00488989i | ||||
\(886\) | 55172.9 | 2.09207 | ||||||||
\(887\) | 20830.1 | 0.788506 | 0.394253 | − | 0.919002i | \(-0.371003\pi\) | ||||
0.394253 | + | 0.919002i | \(0.371003\pi\) | |||||||
\(888\) | 4797.07 | − | 6534.13i | 0.181283 | − | 0.246927i | ||||
\(889\) | 11433.2 | 0.431337 | ||||||||
\(890\) | 82.6649i | 0.00311341i | ||||||||
\(891\) | −10060.3 | + | 7008.31i | −0.378264 | + | 0.263510i | ||||
\(892\) | 25133.9 | 0.943438 | ||||||||
\(893\) | −3633.66 | −0.136165 | ||||||||
\(894\) | 33786.2 | + | 24804.3i | 1.26396 | + | 0.927941i | ||||
\(895\) | 37.3983i | 0.00139675i | ||||||||
\(896\) | 13654.6 | 0.509118 | ||||||||
\(897\) | 6370.66 | − | 8677.54i | 0.237135 | − | 0.323004i | ||||
\(898\) | 14823.0i | 0.550835i | ||||||||
\(899\) | −71952.7 | −2.66936 | ||||||||
\(900\) | 6930.24 | + | 22072.4i | 0.256675 | + | 0.817496i | ||||
\(901\) | 6553.28 | 0.242310 | ||||||||
\(902\) | 16809.4i | 0.620502i | ||||||||
\(903\) | 4433.53 | − | 6038.96i | 0.163387 | − | 0.222551i | ||||
\(904\) | −1572.66 | −0.0578604 | ||||||||
\(905\) | 428.478i | 0.0157382i | ||||||||
\(906\) | 16025.0 | − | 21827.8i | 0.587632 | − | 0.800420i | ||||
\(907\) | 36944.9 | 1.35252 | 0.676261 | − | 0.736663i | \(-0.263599\pi\) | ||||
0.676261 | + | 0.736663i | \(0.263599\pi\) | |||||||
\(908\) | −21379.7 | −0.781399 | ||||||||
\(909\) | 14645.9 | + | 46646.2i | 0.534403 | + | 1.70204i | ||||
\(910\) | 708.708 | 0.0258170 | ||||||||
\(911\) | − | 48490.3i | − | 1.76351i | −0.471708 | − | 0.881755i | \(-0.656362\pi\) | ||
0.471708 | − | 0.881755i | \(-0.343638\pi\) | |||||||
\(912\) | −29576.9 | − | 21714.0i | −1.07389 | − | 0.788402i | ||||
\(913\) | 24500.5 | 0.888113 | ||||||||
\(914\) | 7593.09i | 0.274789i | ||||||||
\(915\) | 166.427 | + | 122.183i | 0.00601301 | + | 0.00441448i | ||||
\(916\) | 16635.0i | 0.600039i | ||||||||
\(917\) | −49019.1 | −1.76527 | ||||||||
\(918\) | −31713.2 | − | 10829.0i | −1.14019 | − | 0.389336i | ||||
\(919\) | 6130.82i | 0.220062i | 0.993928 | + | 0.110031i | \(0.0350950\pi\) | ||||
−0.993928 | + | 0.110031i | \(0.964905\pi\) | |||||||
\(920\) | − | 26.2092i | − | 0.000939230i | ||||||
\(921\) | 39102.0 | + | 28706.9i | 1.39897 | + | 1.02706i | ||||
\(922\) | − | 71413.4i | − | 2.55084i | ||||||
\(923\) | −33780.8 | −1.20467 | ||||||||
\(924\) | 11804.8 | + | 8666.53i | 0.420291 | + | 0.308558i | ||||
\(925\) | 44213.9i | 1.57162i | ||||||||
\(926\) | − | 64166.3i | − | 2.27714i | ||||||
\(927\) | 35474.9 | − | 11138.3i | 1.25690 | − | 0.394639i | ||||
\(928\) | − | 56814.4i | − | 2.00972i | ||||||
\(929\) | −13881.4 | −0.490243 | −0.245121 | − | 0.969492i | \(-0.578828\pi\) | ||||
−0.245121 | + | 0.969492i | \(0.578828\pi\) | |||||||
\(930\) | −725.792 | − | 532.844i | −0.0255910 | − | 0.0187878i | ||||
\(931\) | −25005.2 | −0.880251 | ||||||||
\(932\) | −17660.2 | −0.620687 | ||||||||
\(933\) | −6441.28 | + | 8773.72i | −0.226021 | + | 0.307866i | ||||
\(934\) | −35817.6 | −1.25480 | ||||||||
\(935\) | 153.121 | 0.00535573 | ||||||||
\(936\) | −5816.68 | + | 1826.31i | −0.203124 | + | 0.0637764i | ||||
\(937\) | − | 6800.40i | − | 0.237097i | −0.992948 | − | 0.118548i | \(-0.962176\pi\) | ||
0.992948 | − | 0.118548i | \(-0.0378240\pi\) | |||||||
\(938\) | 18996.2i | 0.661243i | ||||||||
\(939\) | −6538.09 | + | 8905.60i | −0.227223 | + | 0.309503i | ||||
\(940\) | − | 37.2361i | − | 0.00129203i | ||||||
\(941\) | 18823.1 | 0.652088 | 0.326044 | − | 0.945355i | \(-0.394284\pi\) | ||||
0.326044 | + | 0.945355i | \(0.394284\pi\) | |||||||
\(942\) | 26897.1 | − | 36636.8i | 0.930312 | − | 1.26719i | ||||
\(943\) | − | 10491.0i | − | 0.362283i | ||||||
\(944\) | 27650.9 | + | 17189.9i | 0.953348 | + | 0.592672i | ||||
\(945\) | 476.744 | + | 162.792i | 0.0164111 | + | 0.00560384i | ||||
\(946\) | 3823.86i | 0.131421i | ||||||||
\(947\) | 49064.3i | 1.68361i | 0.539784 | + | 0.841804i | \(0.318506\pi\) | ||||
−0.539784 | + | 0.841804i | \(0.681494\pi\) | |||||||
\(948\) | −14264.3 | − | 10472.2i | −0.488696 | − | 0.358779i | ||||
\(949\) | 30936.7 | 1.05822 | ||||||||
\(950\) | 47346.1 | 1.61696 | ||||||||
\(951\) | 954.976 | − | 1300.78i | 0.0325628 | − | 0.0443541i | ||||
\(952\) | − | 6679.25i | − | 0.227390i | ||||||
\(953\) | 5325.52i | 0.181018i | 0.995896 | + | 0.0905092i | \(0.0288495\pi\) | ||||
−0.995896 | + | 0.0905092i | \(0.971151\pi\) | |||||||
\(954\) | −10499.4 | + | 3296.56i | −0.356320 | + | 0.111876i | ||||
\(955\) | − | 120.618i | − | 0.00408702i | ||||||
\(956\) | 29898.3i | 1.01149i | ||||||||
\(957\) | −12160.3 | + | 16563.7i | −0.410749 | + | 0.559486i | ||||
\(958\) | 75023.0i | 2.53015i | ||||||||
\(959\) | 28756.3i | 0.968288i | ||||||||
\(960\) | 161.091 | − | 219.423i | 0.00541581 | − | 0.00737693i | ||||
\(961\) | −63855.2 | −2.14344 | ||||||||
\(962\) | 69823.8 | 2.34013 | ||||||||
\(963\) | 27924.1 | − | 8767.53i | 0.934414 | − | 0.293385i | ||||
\(964\) | 20849.3 | 0.696588 | ||||||||
\(965\) | − | 601.941i | − | 0.0200800i | ||||||
\(966\) | −15964.4 | − | 11720.4i | −0.531726 | − | 0.390369i | ||||
\(967\) | − | 1226.78i | − | 0.0407970i | −0.999792 | − | 0.0203985i | \(-0.993507\pi\) | ||
0.999792 | − | 0.0203985i | \(-0.00649349\pi\) | |||||||
\(968\) | −4621.85 | −0.153463 | ||||||||
\(969\) | −18730.3 | + | 25512.8i | −0.620954 | + | 0.845808i | ||||
\(970\) | −754.304 | −0.0249683 | ||||||||
\(971\) | 46347.0i | 1.53177i | 0.642979 | + | 0.765883i | \(0.277698\pi\) | ||||
−0.642979 | + | 0.765883i | \(0.722302\pi\) | |||||||
\(972\) | 25962.3 | + | 644.580i | 0.856729 | + | 0.0212705i | ||||
\(973\) | −29805.4 | −0.982034 | ||||||||
\(974\) | 13119.2 | 0.431588 | ||||||||
\(975\) | 19679.6 | − | 26805.8i | 0.646412 | − | 0.880485i | ||||
\(976\) | 19431.0i | 0.637264i | ||||||||
\(977\) | −16323.1 | −0.534517 | −0.267259 | − | 0.963625i | \(-0.586118\pi\) | ||||
−0.267259 | + | 0.963625i | \(0.586118\pi\) | |||||||
\(978\) | −4087.62 | − | 3000.94i | −0.133648 | − | 0.0981182i | ||||
\(979\) | 2455.32 | 0.0801557 | ||||||||
\(980\) | − | 256.242i | − | 0.00835241i | ||||||
\(981\) | 11744.8 | − | 3687.60i | 0.382245 | − | 0.120016i | ||||
\(982\) | − | 40485.1i | − | 1.31561i | ||||||
\(983\) | −26029.3 | −0.844563 | −0.422282 | − | 0.906465i | \(-0.638771\pi\) | ||||
−0.422282 | + | 0.906465i | \(0.638771\pi\) | |||||||
\(984\) | −3516.13 | + | 4789.35i | −0.113913 | + | 0.155162i | ||||
\(985\) | 113.245 | 0.00366324 | ||||||||
\(986\) | −56162.4 | −1.81397 | ||||||||
\(987\) | 3784.82 | + | 2778.65i | 0.122059 | + | 0.0896102i | ||||
\(988\) | − | 34506.1i | − | 1.11112i | ||||||
\(989\) | − | 2386.52i | − | 0.0767308i | ||||||
\(990\) | −245.324 | + | 77.0262i | −0.00787567 | + | 0.00247278i | ||||
\(991\) | 46331.2i | 1.48513i | 0.669776 | + | 0.742563i | \(0.266390\pi\) | ||||
−0.669776 | + | 0.742563i | \(0.733610\pi\) | |||||||
\(992\) | − | 73943.7i | − | 2.36665i | ||||||
\(993\) | −14744.4 | − | 10824.7i | −0.471199 | − | 0.345933i | ||||
\(994\) | 62147.9i | 1.98311i | ||||||||
\(995\) | 107.657i | 0.00343012i | ||||||||
\(996\) | −41832.7 | − | 30711.7i | −1.33084 | − | 0.977046i | ||||
\(997\) | −38528.8 | −1.22389 | −0.611945 | − | 0.790900i | \(-0.709613\pi\) | ||||
−0.611945 | + | 0.790900i | \(0.709613\pi\) | |||||||
\(998\) | 20270.4 | 0.642935 | ||||||||
\(999\) | 46970.1 | + | 16038.7i | 1.48755 | + | 0.507951i |
(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 | 177.4.d.c.176.11 | ✓ | 52 | |
3.2 | odd | 2 | inner | 177.4.d.c.176.42 | yes | 52 | |
59.58 | odd | 2 | inner | 177.4.d.c.176.41 | yes | 52 | |
177.176 | even | 2 | inner | 177.4.d.c.176.12 | yes | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.d.c.176.11 | ✓ | 52 | 1.1 | even | 1 | trivial | |
177.4.d.c.176.12 | yes | 52 | 177.176 | even | 2 | inner | |
177.4.d.c.176.41 | yes | 52 | 59.58 | odd | 2 | inner | |
177.4.d.c.176.42 | yes | 52 | 3.2 | odd | 2 | inner |