Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,4,Mod(11,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.60518145055\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.11 |
Dual form | 95.4.e.a.26.1 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | −0.763998 | − | 0.645219i | \(-0.776766\pi\) |
0.940775 | + | 0.339032i | \(0.110100\pi\) | |||||||
\(3\) | 2.50000 | − | 4.33013i | 0.481125 | − | 0.833333i | −0.518640 | − | 0.854993i | \(-0.673562\pi\) |
0.999765 | + | 0.0216593i | \(0.00689490\pi\) | |||||||
\(4\) | 3.50000 | + | 6.06218i | 0.437500 | + | 0.757772i | ||||
\(5\) | −2.50000 | + | 4.33013i | −0.223607 | + | 0.387298i | ||||
\(6\) | −2.50000 | − | 4.33013i | −0.170103 | − | 0.294628i | ||||
\(7\) | 22.0000 | 1.18789 | 0.593944 | − | 0.804506i | \(-0.297570\pi\) | ||||
0.593944 | + | 0.804506i | \(0.297570\pi\) | |||||||
\(8\) | 15.0000 | 0.662913 | ||||||||
\(9\) | 1.00000 | + | 1.73205i | 0.0370370 | + | 0.0641500i | ||||
\(10\) | 2.50000 | + | 4.33013i | 0.0790569 | + | 0.136931i | ||||
\(11\) | 9.00000 | 0.246691 | 0.123346 | − | 0.992364i | \(-0.460638\pi\) | ||||
0.123346 | + | 0.992364i | \(0.460638\pi\) | |||||||
\(12\) | 35.0000 | 0.841969 | ||||||||
\(13\) | −27.0000 | − | 46.7654i | −0.576035 | − | 0.997722i | −0.995928 | − | 0.0901482i | \(-0.971266\pi\) |
0.419894 | − | 0.907573i | \(-0.362067\pi\) | |||||||
\(14\) | 11.0000 | − | 19.0526i | 0.209991 | − | 0.363715i | ||||
\(15\) | 12.5000 | + | 21.6506i | 0.215166 | + | 0.372678i | ||||
\(16\) | −20.5000 | + | 35.5070i | −0.320312 | + | 0.554798i | ||||
\(17\) | 27.0000 | − | 46.7654i | 0.385204 | − | 0.667192i | −0.606594 | − | 0.795012i | \(-0.707465\pi\) |
0.991797 | + | 0.127820i | \(0.0407979\pi\) | |||||||
\(18\) | 2.00000 | 0.0261891 | ||||||||
\(19\) | −66.5000 | − | 49.3634i | −0.802955 | − | 0.596040i | ||||
\(20\) | −35.0000 | −0.391312 | ||||||||
\(21\) | 55.0000 | − | 95.2628i | 0.571523 | − | 0.989907i | ||||
\(22\) | 4.50000 | − | 7.79423i | 0.0436092 | − | 0.0755334i | ||||
\(23\) | 46.0000 | + | 79.6743i | 0.417029 | + | 0.722315i | 0.995639 | − | 0.0932891i | \(-0.0297381\pi\) |
−0.578610 | + | 0.815604i | \(0.696405\pi\) | |||||||
\(24\) | 37.5000 | − | 64.9519i | 0.318944 | − | 0.552427i | ||||
\(25\) | −12.5000 | − | 21.6506i | −0.100000 | − | 0.173205i | ||||
\(26\) | −54.0000 | −0.407318 | ||||||||
\(27\) | 145.000 | 1.03353 | ||||||||
\(28\) | 77.0000 | + | 133.368i | 0.519701 | + | 0.900149i | ||||
\(29\) | 67.0000 | + | 116.047i | 0.429020 | + | 0.743085i | 0.996786 | − | 0.0801050i | \(-0.0255256\pi\) |
−0.567766 | + | 0.823190i | \(0.692192\pi\) | |||||||
\(30\) | 25.0000 | 0.152145 | ||||||||
\(31\) | −252.000 | −1.46002 | −0.730009 | − | 0.683438i | \(-0.760484\pi\) | ||||
−0.730009 | + | 0.683438i | \(0.760484\pi\) | |||||||
\(32\) | 80.5000 | + | 139.430i | 0.444704 | + | 0.770250i | ||||
\(33\) | 22.5000 | − | 38.9711i | 0.118689 | − | 0.205576i | ||||
\(34\) | −27.0000 | − | 46.7654i | −0.136190 | − | 0.235888i | ||||
\(35\) | −55.0000 | + | 95.2628i | −0.265620 | + | 0.460067i | ||||
\(36\) | −7.00000 | + | 12.1244i | −0.0324074 | + | 0.0561313i | ||||
\(37\) | −236.000 | −1.04860 | −0.524299 | − | 0.851534i | \(-0.675673\pi\) | ||||
−0.524299 | + | 0.851534i | \(0.675673\pi\) | |||||||
\(38\) | −76.0000 | + | 32.9090i | −0.324443 | + | 0.140488i | ||||
\(39\) | −270.000 | −1.10858 | ||||||||
\(40\) | −37.5000 | + | 64.9519i | −0.148232 | + | 0.256745i | ||||
\(41\) | 121.500 | − | 210.444i | 0.462808 | − | 0.801606i | −0.536292 | − | 0.844033i | \(-0.680175\pi\) |
0.999100 | + | 0.0424262i | \(0.0135087\pi\) | |||||||
\(42\) | −55.0000 | − | 95.2628i | −0.202064 | − | 0.349985i | ||||
\(43\) | −248.000 | + | 429.549i | −0.879527 | + | 1.52338i | −0.0276654 | + | 0.999617i | \(0.508807\pi\) |
−0.851861 | + | 0.523768i | \(0.824526\pi\) | |||||||
\(44\) | 31.5000 | + | 54.5596i | 0.107927 | + | 0.186936i | ||||
\(45\) | −10.0000 | −0.0331269 | ||||||||
\(46\) | 92.0000 | 0.294884 | ||||||||
\(47\) | −251.000 | − | 434.745i | −0.778981 | − | 1.34923i | −0.932530 | − | 0.361094i | \(-0.882403\pi\) |
0.153548 | − | 0.988141i | \(-0.450930\pi\) | |||||||
\(48\) | 102.500 | + | 177.535i | 0.308221 | + | 0.533854i | ||||
\(49\) | 141.000 | 0.411079 | ||||||||
\(50\) | −25.0000 | −0.0707107 | ||||||||
\(51\) | −135.000 | − | 233.827i | −0.370662 | − | 0.642006i | ||||
\(52\) | 189.000 | − | 327.358i | 0.504030 | − | 0.873006i | ||||
\(53\) | −31.0000 | − | 53.6936i | −0.0803430 | − | 0.139158i | 0.823054 | − | 0.567963i | \(-0.192268\pi\) |
−0.903397 | + | 0.428805i | \(0.858935\pi\) | |||||||
\(54\) | 72.5000 | − | 125.574i | 0.182704 | − | 0.316452i | ||||
\(55\) | −22.5000 | + | 38.9711i | −0.0551618 | + | 0.0955431i | ||||
\(56\) | 330.000 | 0.787466 | ||||||||
\(57\) | −380.000 | + | 164.545i | −0.883022 | + | 0.382360i | ||||
\(58\) | 134.000 | 0.303363 | ||||||||
\(59\) | −340.500 | + | 589.763i | −0.751344 | + | 1.30137i | 0.195827 | + | 0.980639i | \(0.437261\pi\) |
−0.947171 | + | 0.320728i | \(0.896072\pi\) | |||||||
\(60\) | −87.5000 | + | 151.554i | −0.188270 | + | 0.326093i | ||||
\(61\) | 71.0000 | + | 122.976i | 0.149027 | + | 0.258122i | 0.930868 | − | 0.365356i | \(-0.119053\pi\) |
−0.781841 | + | 0.623477i | \(0.785719\pi\) | |||||||
\(62\) | −126.000 | + | 218.238i | −0.258097 | + | 0.447037i | ||||
\(63\) | 22.0000 | + | 38.1051i | 0.0439959 | + | 0.0762031i | ||||
\(64\) | −167.000 | −0.326172 | ||||||||
\(65\) | 270.000 | 0.515221 | ||||||||
\(66\) | −22.5000 | − | 38.9711i | −0.0419630 | − | 0.0726821i | ||||
\(67\) | −27.5000 | − | 47.6314i | −0.0501442 | − | 0.0868523i | 0.839864 | − | 0.542797i | \(-0.182635\pi\) |
−0.890008 | + | 0.455945i | \(0.849301\pi\) | |||||||
\(68\) | 378.000 | 0.674106 | ||||||||
\(69\) | 460.000 | 0.802572 | ||||||||
\(70\) | 55.0000 | + | 95.2628i | 0.0939108 | + | 0.162658i | ||||
\(71\) | 487.000 | − | 843.509i | 0.814032 | − | 1.40994i | −0.0959890 | − | 0.995382i | \(-0.530601\pi\) |
0.910021 | − | 0.414562i | \(-0.136065\pi\) | |||||||
\(72\) | 15.0000 | + | 25.9808i | 0.0245523 | + | 0.0425259i | ||||
\(73\) | −347.500 | + | 601.888i | −0.557148 | + | 0.965009i | 0.440585 | + | 0.897711i | \(0.354771\pi\) |
−0.997733 | + | 0.0672976i | \(0.978562\pi\) | |||||||
\(74\) | −118.000 | + | 204.382i | −0.185368 | + | 0.321067i | ||||
\(75\) | −125.000 | −0.192450 | ||||||||
\(76\) | 66.5000 | − | 575.907i | 0.100369 | − | 0.869224i | ||||
\(77\) | 198.000 | 0.293041 | ||||||||
\(78\) | −135.000 | + | 233.827i | −0.195971 | + | 0.339432i | ||||
\(79\) | 368.000 | − | 637.395i | 0.524092 | − | 0.907753i | −0.475515 | − | 0.879708i | \(-0.657738\pi\) |
0.999607 | − | 0.0280457i | \(-0.00892838\pi\) | |||||||
\(80\) | −102.500 | − | 177.535i | −0.143248 | − | 0.248113i | ||||
\(81\) | 335.500 | − | 581.103i | 0.460219 | − | 0.797124i | ||||
\(82\) | −121.500 | − | 210.444i | −0.163627 | − | 0.283411i | ||||
\(83\) | −63.0000 | −0.0833150 | −0.0416575 | − | 0.999132i | \(-0.513264\pi\) | ||||
−0.0416575 | + | 0.999132i | \(0.513264\pi\) | |||||||
\(84\) | 770.000 | 1.00017 | ||||||||
\(85\) | 135.000 | + | 233.827i | 0.172268 | + | 0.298377i | ||||
\(86\) | 248.000 | + | 429.549i | 0.310960 | + | 0.538598i | ||||
\(87\) | 670.000 | 0.825650 | ||||||||
\(88\) | 135.000 | 0.163535 | ||||||||
\(89\) | −363.000 | − | 628.734i | −0.432336 | − | 0.748828i | 0.564738 | − | 0.825270i | \(-0.308977\pi\) |
−0.997074 | + | 0.0764421i | \(0.975644\pi\) | |||||||
\(90\) | −5.00000 | + | 8.66025i | −0.00585607 | + | 0.0101430i | ||||
\(91\) | −594.000 | − | 1028.84i | −0.684265 | − | 1.18518i | ||||
\(92\) | −322.000 | + | 557.720i | −0.364900 | + | 0.632026i | ||||
\(93\) | −630.000 | + | 1091.19i | −0.702451 | + | 1.21668i | ||||
\(94\) | −502.000 | −0.550823 | ||||||||
\(95\) | 380.000 | − | 164.545i | 0.410391 | − | 0.177705i | ||||
\(96\) | 805.000 | 0.855833 | ||||||||
\(97\) | 583.500 | − | 1010.65i | 0.610778 | − | 1.05790i | −0.380332 | − | 0.924850i | \(-0.624190\pi\) |
0.991110 | − | 0.133048i | \(-0.0424765\pi\) | |||||||
\(98\) | 70.5000 | − | 122.110i | 0.0726691 | − | 0.125867i | ||||
\(99\) | 9.00000 | + | 15.5885i | 0.00913671 | + | 0.0158252i | ||||
\(100\) | 87.5000 | − | 151.554i | 0.0875000 | − | 0.151554i | ||||
\(101\) | 15.0000 | + | 25.9808i | 0.0147778 | + | 0.0255959i | 0.873320 | − | 0.487147i | \(-0.161963\pi\) |
−0.858542 | + | 0.512743i | \(0.828629\pi\) | |||||||
\(102\) | −270.000 | −0.262098 | ||||||||
\(103\) | −602.000 | −0.575891 | −0.287946 | − | 0.957647i | \(-0.592972\pi\) | ||||
−0.287946 | + | 0.957647i | \(0.592972\pi\) | |||||||
\(104\) | −405.000 | − | 701.481i | −0.381861 | − | 0.661402i | ||||
\(105\) | 275.000 | + | 476.314i | 0.255593 | + | 0.442700i | ||||
\(106\) | −62.0000 | −0.0568111 | ||||||||
\(107\) | 660.000 | 0.596305 | 0.298152 | − | 0.954518i | \(-0.403630\pi\) | ||||
0.298152 | + | 0.954518i | \(0.403630\pi\) | |||||||
\(108\) | 507.500 | + | 879.016i | 0.452169 | + | 0.783179i | ||||
\(109\) | 60.0000 | − | 103.923i | 0.0527244 | − | 0.0913213i | −0.838459 | − | 0.544965i | \(-0.816543\pi\) |
0.891183 | + | 0.453644i | \(0.149876\pi\) | |||||||
\(110\) | 22.5000 | + | 38.9711i | 0.0195026 | + | 0.0337796i | ||||
\(111\) | −590.000 | + | 1021.91i | −0.504507 | + | 0.873832i | ||||
\(112\) | −451.000 | + | 781.155i | −0.380495 | + | 0.659038i | ||||
\(113\) | 1059.00 | 0.881614 | 0.440807 | − | 0.897602i | \(-0.354692\pi\) | ||||
0.440807 | + | 0.897602i | \(0.354692\pi\) | |||||||
\(114\) | −47.5000 | + | 411.362i | −0.0390244 | + | 0.337961i | ||||
\(115\) | −460.000 | −0.373002 | ||||||||
\(116\) | −469.000 | + | 812.332i | −0.375393 | + | 0.650199i | ||||
\(117\) | 54.0000 | − | 93.5307i | 0.0426692 | − | 0.0739053i | ||||
\(118\) | 340.500 | + | 589.763i | 0.265640 | + | 0.460103i | ||||
\(119\) | 594.000 | − | 1028.84i | 0.457579 | − | 0.792550i | ||||
\(120\) | 187.500 | + | 324.760i | 0.142636 | + | 0.247053i | ||||
\(121\) | −1250.00 | −0.939144 | ||||||||
\(122\) | 142.000 | 0.105378 | ||||||||
\(123\) | −607.500 | − | 1052.22i | −0.445337 | − | 0.771346i | ||||
\(124\) | −882.000 | − | 1527.67i | −0.638758 | − | 1.10636i | ||||
\(125\) | 125.000 | 0.0894427 | ||||||||
\(126\) | 44.0000 | 0.0311098 | ||||||||
\(127\) | −59.0000 | − | 102.191i | −0.0412236 | − | 0.0714015i | 0.844677 | − | 0.535276i | \(-0.179792\pi\) |
−0.885901 | + | 0.463874i | \(0.846459\pi\) | |||||||
\(128\) | −727.500 | + | 1260.07i | −0.502363 | + | 0.870119i | ||||
\(129\) | 1240.00 | + | 2147.74i | 0.846325 | + | 1.46588i | ||||
\(130\) | 135.000 | − | 233.827i | 0.0910791 | − | 0.157754i | ||||
\(131\) | −333.500 | + | 577.639i | −0.222428 | + | 0.385256i | −0.955545 | − | 0.294847i | \(-0.904731\pi\) |
0.733117 | + | 0.680103i | \(0.238065\pi\) | |||||||
\(132\) | 315.000 | 0.207706 | ||||||||
\(133\) | −1463.00 | − | 1086.00i | −0.953821 | − | 0.708028i | ||||
\(134\) | −55.0000 | −0.0354573 | ||||||||
\(135\) | −362.500 | + | 627.868i | −0.231104 | + | 0.400284i | ||||
\(136\) | 405.000 | − | 701.481i | 0.255356 | − | 0.442290i | ||||
\(137\) | 525.500 | + | 910.193i | 0.327712 | + | 0.567613i | 0.982057 | − | 0.188582i | \(-0.0603892\pi\) |
−0.654346 | + | 0.756196i | \(0.727056\pi\) | |||||||
\(138\) | 230.000 | − | 398.372i | 0.141876 | − | 0.245737i | ||||
\(139\) | 417.500 | + | 723.131i | 0.254762 | + | 0.441260i | 0.964831 | − | 0.262872i | \(-0.0846696\pi\) |
−0.710069 | + | 0.704132i | \(0.751336\pi\) | |||||||
\(140\) | −770.000 | −0.464835 | ||||||||
\(141\) | −2510.00 | −1.49915 | ||||||||
\(142\) | −487.000 | − | 843.509i | −0.287804 | − | 0.498491i | ||||
\(143\) | −243.000 | − | 420.888i | −0.142103 | − | 0.246129i | ||||
\(144\) | −82.0000 | −0.0474537 | ||||||||
\(145\) | −670.000 | −0.383727 | ||||||||
\(146\) | 347.500 | + | 601.888i | 0.196982 | + | 0.341182i | ||||
\(147\) | 352.500 | − | 610.548i | 0.197780 | − | 0.342566i | ||||
\(148\) | −826.000 | − | 1430.67i | −0.458762 | − | 0.794599i | ||||
\(149\) | −1368.00 | + | 2369.45i | −0.752154 | + | 1.30277i | 0.194623 | + | 0.980878i | \(0.437652\pi\) |
−0.946777 | + | 0.321891i | \(0.895682\pi\) | |||||||
\(150\) | −62.5000 | + | 108.253i | −0.0340207 | + | 0.0589256i | ||||
\(151\) | −376.000 | −0.202639 | −0.101319 | − | 0.994854i | \(-0.532306\pi\) | ||||
−0.101319 | + | 0.994854i | \(0.532306\pi\) | |||||||
\(152\) | −997.500 | − | 740.452i | −0.532289 | − | 0.395122i | ||||
\(153\) | 108.000 | 0.0570672 | ||||||||
\(154\) | 99.0000 | − | 171.473i | 0.0518029 | − | 0.0897253i | ||||
\(155\) | 630.000 | − | 1091.19i | 0.326470 | − | 0.565462i | ||||
\(156\) | −945.000 | − | 1636.79i | −0.485004 | − | 0.840051i | ||||
\(157\) | 496.000 | − | 859.097i | 0.252134 | − | 0.436710i | −0.711979 | − | 0.702201i | \(-0.752201\pi\) |
0.964113 | + | 0.265491i | \(0.0855341\pi\) | |||||||
\(158\) | −368.000 | − | 637.395i | −0.185294 | − | 0.320939i | ||||
\(159\) | −310.000 | −0.154620 | ||||||||
\(160\) | −805.000 | −0.397755 | ||||||||
\(161\) | 1012.00 | + | 1752.84i | 0.495384 | + | 0.858030i | ||||
\(162\) | −335.500 | − | 581.103i | −0.162712 | − | 0.281826i | ||||
\(163\) | 3047.00 | 1.46417 | 0.732084 | − | 0.681214i | \(-0.238548\pi\) | ||||
0.732084 | + | 0.681214i | \(0.238548\pi\) | |||||||
\(164\) | 1701.00 | 0.809913 | ||||||||
\(165\) | 112.500 | + | 194.856i | 0.0530795 | + | 0.0919363i | ||||
\(166\) | −31.5000 | + | 54.5596i | −0.0147282 | + | 0.0255099i | ||||
\(167\) | 652.000 | + | 1129.30i | 0.302115 | + | 0.523279i | 0.976615 | − | 0.214996i | \(-0.0689739\pi\) |
−0.674500 | + | 0.738275i | \(0.735641\pi\) | |||||||
\(168\) | 825.000 | − | 1428.94i | 0.378870 | − | 0.656222i | ||||
\(169\) | −359.500 | + | 622.672i | −0.163632 | + | 0.283419i | ||||
\(170\) | 270.000 | 0.121812 | ||||||||
\(171\) | 19.0000 | − | 164.545i | 0.00849688 | − | 0.0735851i | ||||
\(172\) | −3472.00 | −1.53917 | ||||||||
\(173\) | −99.0000 | + | 171.473i | −0.0435077 | + | 0.0753575i | −0.886959 | − | 0.461848i | \(-0.847187\pi\) |
0.843452 | + | 0.537205i | \(0.180520\pi\) | |||||||
\(174\) | 335.000 | − | 580.237i | 0.145956 | − | 0.252803i | ||||
\(175\) | −275.000 | − | 476.314i | −0.118789 | − | 0.205748i | ||||
\(176\) | −184.500 | + | 319.563i | −0.0790182 | + | 0.136864i | ||||
\(177\) | 1702.50 | + | 2948.82i | 0.722982 | + | 1.25224i | ||||
\(178\) | −726.000 | −0.305708 | ||||||||
\(179\) | −1265.00 | −0.528215 | −0.264108 | − | 0.964493i | \(-0.585077\pi\) | ||||
−0.264108 | + | 0.964493i | \(0.585077\pi\) | |||||||
\(180\) | −35.0000 | − | 60.6218i | −0.0144930 | − | 0.0251027i | ||||
\(181\) | 2038.00 | + | 3529.92i | 0.836925 | + | 1.44960i | 0.892454 | + | 0.451139i | \(0.148982\pi\) |
−0.0555292 | + | 0.998457i | \(0.517685\pi\) | |||||||
\(182\) | −1188.00 | −0.483848 | ||||||||
\(183\) | 710.000 | 0.286802 | ||||||||
\(184\) | 690.000 | + | 1195.12i | 0.276454 | + | 0.478832i | ||||
\(185\) | 590.000 | − | 1021.91i | 0.234474 | − | 0.406121i | ||||
\(186\) | 630.000 | + | 1091.19i | 0.248354 | + | 0.430162i | ||||
\(187\) | 243.000 | − | 420.888i | 0.0950263 | − | 0.164590i | ||||
\(188\) | 1757.00 | − | 3043.21i | 0.681608 | − | 1.18058i | ||||
\(189\) | 3190.00 | 1.22772 | ||||||||
\(190\) | 47.5000 | − | 411.362i | 0.0181369 | − | 0.157070i | ||||
\(191\) | 3292.00 | 1.24712 | 0.623562 | − | 0.781774i | \(-0.285685\pi\) | ||||
0.623562 | + | 0.781774i | \(0.285685\pi\) | |||||||
\(192\) | −417.500 | + | 723.131i | −0.156930 | + | 0.271810i | ||||
\(193\) | −969.000 | + | 1678.36i | −0.361400 | + | 0.625963i | −0.988191 | − | 0.153224i | \(-0.951034\pi\) |
0.626792 | + | 0.779187i | \(0.284368\pi\) | |||||||
\(194\) | −583.500 | − | 1010.65i | −0.215943 | − | 0.374024i | ||||
\(195\) | 675.000 | − | 1169.13i | 0.247886 | − | 0.429351i | ||||
\(196\) | 493.500 | + | 854.767i | 0.179847 | + | 0.311504i | ||||
\(197\) | 4524.00 | 1.63615 | 0.818075 | − | 0.575111i | \(-0.195041\pi\) | ||||
0.818075 | + | 0.575111i | \(0.195041\pi\) | |||||||
\(198\) | 18.0000 | 0.00646063 | ||||||||
\(199\) | −2141.00 | − | 3708.32i | −0.762671 | − | 1.32098i | −0.941469 | − | 0.337099i | \(-0.890554\pi\) |
0.178799 | − | 0.983886i | \(-0.442779\pi\) | |||||||
\(200\) | −187.500 | − | 324.760i | −0.0662913 | − | 0.114820i | ||||
\(201\) | −275.000 | −0.0965025 | ||||||||
\(202\) | 30.0000 | 0.0104495 | ||||||||
\(203\) | 1474.00 | + | 2553.04i | 0.509628 | + | 0.882702i | ||||
\(204\) | 945.000 | − | 1636.79i | 0.324330 | − | 0.561755i | ||||
\(205\) | 607.500 | + | 1052.22i | 0.206974 | + | 0.358489i | ||||
\(206\) | −301.000 | + | 521.347i | −0.101804 | + | 0.176330i | ||||
\(207\) | −92.0000 | + | 159.349i | −0.0308910 | + | 0.0535048i | ||||
\(208\) | 2214.00 | 0.738045 | ||||||||
\(209\) | −598.500 | − | 444.271i | −0.198082 | − | 0.147038i | ||||
\(210\) | 550.000 | 0.180731 | ||||||||
\(211\) | 970.000 | − | 1680.09i | 0.316481 | − | 0.548162i | −0.663270 | − | 0.748380i | \(-0.730832\pi\) |
0.979751 | + | 0.200219i | \(0.0641652\pi\) | |||||||
\(212\) | 217.000 | − | 375.855i | 0.0703001 | − | 0.121763i | ||||
\(213\) | −2435.00 | − | 4217.54i | −0.783303 | − | 1.35672i | ||||
\(214\) | 330.000 | − | 571.577i | 0.105413 | − | 0.182580i | ||||
\(215\) | −1240.00 | − | 2147.74i | −0.393336 | − | 0.681278i | ||||
\(216\) | 2175.00 | 0.685139 | ||||||||
\(217\) | −5544.00 | −1.73434 | ||||||||
\(218\) | −60.0000 | − | 103.923i | −0.0186409 | − | 0.0322870i | ||||
\(219\) | 1737.50 | + | 3009.44i | 0.536116 | + | 0.928580i | ||||
\(220\) | −315.000 | −0.0965332 | ||||||||
\(221\) | −2916.00 | −0.887563 | ||||||||
\(222\) | 590.000 | + | 1021.91i | 0.178370 | + | 0.308946i | ||||
\(223\) | 2078.00 | − | 3599.20i | 0.624005 | − | 1.08081i | −0.364727 | − | 0.931114i | \(-0.618838\pi\) |
0.988732 | − | 0.149694i | \(-0.0478290\pi\) | |||||||
\(224\) | 1771.00 | + | 3067.46i | 0.528259 | + | 0.914971i | ||||
\(225\) | 25.0000 | − | 43.3013i | 0.00740741 | − | 0.0128300i | ||||
\(226\) | 529.500 | − | 917.121i | 0.155849 | − | 0.269938i | ||||
\(227\) | 2093.00 | 0.611970 | 0.305985 | − | 0.952036i | \(-0.401014\pi\) | ||||
0.305985 | + | 0.952036i | \(0.401014\pi\) | |||||||
\(228\) | −2327.50 | − | 1727.72i | −0.676063 | − | 0.501847i | ||||
\(229\) | −4312.00 | −1.24430 | −0.622151 | − | 0.782898i | \(-0.713741\pi\) | ||||
−0.622151 | + | 0.782898i | \(0.713741\pi\) | |||||||
\(230\) | −230.000 | + | 398.372i | −0.0659380 | + | 0.114208i | ||||
\(231\) | 495.000 | − | 857.365i | 0.140990 | − | 0.244201i | ||||
\(232\) | 1005.00 | + | 1740.71i | 0.284403 | + | 0.492600i | ||||
\(233\) | 2114.50 | − | 3662.42i | 0.594530 | − | 1.02976i | −0.399083 | − | 0.916915i | \(-0.630671\pi\) |
0.993613 | − | 0.112841i | \(-0.0359952\pi\) | |||||||
\(234\) | −54.0000 | − | 93.5307i | −0.0150859 | − | 0.0261295i | ||||
\(235\) | 2510.00 | 0.696742 | ||||||||
\(236\) | −4767.00 | −1.31485 | ||||||||
\(237\) | −1840.00 | − | 3186.97i | −0.504307 | − | 0.873486i | ||||
\(238\) | −594.000 | − | 1028.84i | −0.161779 | − | 0.280209i | ||||
\(239\) | −5556.00 | −1.50371 | −0.751857 | − | 0.659326i | \(-0.770842\pi\) | ||||
−0.751857 | + | 0.659326i | \(0.770842\pi\) | |||||||
\(240\) | −1025.00 | −0.275681 | ||||||||
\(241\) | 2209.50 | + | 3826.97i | 0.590566 | + | 1.02289i | 0.994156 | + | 0.107950i | \(0.0344288\pi\) |
−0.403590 | + | 0.914940i | \(0.632238\pi\) | |||||||
\(242\) | −625.000 | + | 1082.53i | −0.166019 | + | 0.287553i | ||||
\(243\) | 280.000 | + | 484.974i | 0.0739177 | + | 0.128029i | ||||
\(244\) | −497.000 | + | 860.829i | −0.130398 | + | 0.225856i | ||||
\(245\) | −352.500 | + | 610.548i | −0.0919200 | + | 0.159210i | ||||
\(246\) | −1215.00 | −0.314901 | ||||||||
\(247\) | −513.000 | + | 4442.71i | −0.132151 | + | 1.14447i | ||||
\(248\) | −3780.00 | −0.967864 | ||||||||
\(249\) | −157.500 | + | 272.798i | −0.0400850 | + | 0.0694292i | ||||
\(250\) | 62.5000 | − | 108.253i | 0.0158114 | − | 0.0273861i | ||||
\(251\) | 1978.50 | + | 3426.86i | 0.497537 | + | 0.861760i | 0.999996 | − | 0.00284158i | \(-0.000904504\pi\) |
−0.502459 | + | 0.864601i | \(0.667571\pi\) | |||||||
\(252\) | −154.000 | + | 266.736i | −0.0384964 | + | 0.0666777i | ||||
\(253\) | 414.000 | + | 717.069i | 0.102877 | + | 0.178189i | ||||
\(254\) | −118.000 | −0.0291495 | ||||||||
\(255\) | 1350.00 | 0.331531 | ||||||||
\(256\) | 59.5000 | + | 103.057i | 0.0145264 | + | 0.0251604i | ||||
\(257\) | 438.500 | + | 759.504i | 0.106431 | + | 0.184345i | 0.914322 | − | 0.404988i | \(-0.132724\pi\) |
−0.807891 | + | 0.589332i | \(0.799391\pi\) | |||||||
\(258\) | 2480.00 | 0.598442 | ||||||||
\(259\) | −5192.00 | −1.24562 | ||||||||
\(260\) | 945.000 | + | 1636.79i | 0.225409 | + | 0.390420i | ||||
\(261\) | −134.000 | + | 232.095i | −0.0317793 | + | 0.0550433i | ||||
\(262\) | 333.500 | + | 577.639i | 0.0786401 | + | 0.136209i | ||||
\(263\) | 1215.00 | − | 2104.44i | 0.284867 | − | 0.493405i | −0.687710 | − | 0.725986i | \(-0.741384\pi\) |
0.972577 | + | 0.232581i | \(0.0747171\pi\) | |||||||
\(264\) | 337.500 | − | 584.567i | 0.0786806 | − | 0.136279i | ||||
\(265\) | 310.000 | 0.0718609 | ||||||||
\(266\) | −1672.00 | + | 723.997i | −0.385402 | + | 0.166884i | ||||
\(267\) | −3630.00 | −0.832031 | ||||||||
\(268\) | 192.500 | − | 333.420i | 0.0438762 | − | 0.0759957i | ||||
\(269\) | −2346.00 | + | 4063.39i | −0.531740 | + | 0.921001i | 0.467573 | + | 0.883954i | \(0.345128\pi\) |
−0.999314 | + | 0.0370469i | \(0.988205\pi\) | |||||||
\(270\) | 362.500 | + | 627.868i | 0.0817076 | + | 0.141522i | ||||
\(271\) | 4381.00 | − | 7588.11i | 0.982018 | − | 1.70090i | 0.327513 | − | 0.944847i | \(-0.393790\pi\) |
0.654505 | − | 0.756058i | \(-0.272877\pi\) | |||||||
\(272\) | 1107.00 | + | 1917.38i | 0.246771 | + | 0.427420i | ||||
\(273\) | −5940.00 | −1.31687 | ||||||||
\(274\) | 1051.00 | 0.231727 | ||||||||
\(275\) | −112.500 | − | 194.856i | −0.0246691 | − | 0.0427282i | ||||
\(276\) | 1610.00 | + | 2788.60i | 0.351125 | + | 0.608167i | ||||
\(277\) | 5014.00 | 1.08759 | 0.543794 | − | 0.839219i | \(-0.316987\pi\) | ||||
0.543794 | + | 0.839219i | \(0.316987\pi\) | |||||||
\(278\) | 835.000 | 0.180144 | ||||||||
\(279\) | −252.000 | − | 436.477i | −0.0540747 | − | 0.0936602i | ||||
\(280\) | −825.000 | + | 1428.94i | −0.176083 | + | 0.304984i | ||||
\(281\) | 1932.50 | + | 3347.19i | 0.410261 | + | 0.710593i | 0.994918 | − | 0.100688i | \(-0.0321043\pi\) |
−0.584657 | + | 0.811280i | \(0.698771\pi\) | |||||||
\(282\) | −1255.00 | + | 2173.72i | −0.265015 | + | 0.459019i | ||||
\(283\) | 296.500 | − | 513.553i | 0.0622795 | − | 0.107871i | −0.833204 | − | 0.552965i | \(-0.813496\pi\) |
0.895484 | + | 0.445094i | \(0.146830\pi\) | |||||||
\(284\) | 6818.00 | 1.42456 | ||||||||
\(285\) | 237.500 | − | 2056.81i | 0.0493624 | − | 0.427491i | ||||
\(286\) | −486.000 | −0.100482 | ||||||||
\(287\) | 2673.00 | − | 4629.77i | 0.549764 | − | 0.952219i | ||||
\(288\) | −161.000 | + | 278.860i | −0.0329410 | + | 0.0570555i | ||||
\(289\) | 998.500 | + | 1729.45i | 0.203236 | + | 0.352016i | ||||
\(290\) | −335.000 | + | 580.237i | −0.0678341 | + | 0.117492i | ||||
\(291\) | −2917.50 | − | 5053.26i | −0.587721 | − | 1.01796i | ||||
\(292\) | −4865.00 | −0.975009 | ||||||||
\(293\) | −5838.00 | −1.16403 | −0.582013 | − | 0.813180i | \(-0.697735\pi\) | ||||
−0.582013 | + | 0.813180i | \(0.697735\pi\) | |||||||
\(294\) | −352.500 | − | 610.548i | −0.0699259 | − | 0.121115i | ||||
\(295\) | −1702.50 | − | 2948.82i | −0.336011 | − | 0.581989i | ||||
\(296\) | −3540.00 | −0.695129 | ||||||||
\(297\) | 1305.00 | 0.254962 | ||||||||
\(298\) | 1368.00 | + | 2369.45i | 0.265927 | + | 0.460598i | ||||
\(299\) | 2484.00 | − | 4302.41i | 0.480446 | − | 0.832157i | ||||
\(300\) | −437.500 | − | 757.772i | −0.0841969 | − | 0.145833i | ||||
\(301\) | −5456.00 | + | 9450.07i | −1.04478 | + | 1.80961i | ||||
\(302\) | −188.000 | + | 325.626i | −0.0358218 | + | 0.0620452i | ||||
\(303\) | 150.000 | 0.0284399 | ||||||||
\(304\) | 3116.00 | − | 1349.27i | 0.587878 | − | 0.254559i | ||||
\(305\) | −710.000 | −0.133293 | ||||||||
\(306\) | 54.0000 | − | 93.5307i | 0.0100882 | − | 0.0174732i | ||||
\(307\) | −123.500 | + | 213.908i | −0.0229593 | + | 0.0397667i | −0.877277 | − | 0.479985i | \(-0.840642\pi\) |
0.854317 | + | 0.519752i | \(0.173975\pi\) | |||||||
\(308\) | 693.000 | + | 1200.31i | 0.128206 | + | 0.222059i | ||||
\(309\) | −1505.00 | + | 2606.74i | −0.277076 | + | 0.479910i | ||||
\(310\) | −630.000 | − | 1091.19i | −0.115425 | − | 0.199921i | ||||
\(311\) | −10220.0 | −1.86342 | −0.931709 | − | 0.363206i | \(-0.881682\pi\) | ||||
−0.931709 | + | 0.363206i | \(0.881682\pi\) | |||||||
\(312\) | −4050.00 | −0.734891 | ||||||||
\(313\) | 3917.50 | + | 6785.31i | 0.707445 | + | 1.22533i | 0.965802 | + | 0.259281i | \(0.0834855\pi\) |
−0.258357 | + | 0.966049i | \(0.583181\pi\) | |||||||
\(314\) | −496.000 | − | 859.097i | −0.0891430 | − | 0.154400i | ||||
\(315\) | −220.000 | −0.0393511 | ||||||||
\(316\) | 5152.00 | 0.917160 | ||||||||
\(317\) | 1887.00 | + | 3268.38i | 0.334336 | + | 0.579087i | 0.983357 | − | 0.181684i | \(-0.0581547\pi\) |
−0.649021 | + | 0.760770i | \(0.724821\pi\) | |||||||
\(318\) | −155.000 | + | 268.468i | −0.0273332 | + | 0.0473425i | ||||
\(319\) | 603.000 | + | 1044.43i | 0.105835 | + | 0.183312i | ||||
\(320\) | 417.500 | − | 723.131i | 0.0729342 | − | 0.126326i | ||||
\(321\) | 1650.00 | − | 2857.88i | 0.286897 | − | 0.496921i | ||||
\(322\) | 2024.00 | 0.350289 | ||||||||
\(323\) | −4104.00 | + | 1777.08i | −0.706974 | + | 0.306129i | ||||
\(324\) | 4697.00 | 0.805384 | ||||||||
\(325\) | −675.000 | + | 1169.13i | −0.115207 | + | 0.199544i | ||||
\(326\) | 1523.50 | − | 2638.78i | 0.258831 | − | 0.448308i | ||||
\(327\) | −300.000 | − | 519.615i | −0.0507341 | − | 0.0878740i | ||||
\(328\) | 1822.50 | − | 3156.66i | 0.306801 | − | 0.531395i | ||||
\(329\) | −5522.00 | − | 9564.38i | −0.925343 | − | 1.60274i | ||||
\(330\) | 225.000 | 0.0375329 | ||||||||
\(331\) | −5.00000 | −0.000830287 | −0.000415143 | − | 1.00000i | \(-0.500132\pi\) | ||||
−0.000415143 | 1.00000i | \(0.500132\pi\) | ||||||||
\(332\) | −220.500 | − | 381.917i | −0.0364503 | − | 0.0631338i | ||||
\(333\) | −236.000 | − | 408.764i | −0.0388370 | − | 0.0672677i | ||||
\(334\) | 1304.00 | 0.213628 | ||||||||
\(335\) | 275.000 | 0.0448503 | ||||||||
\(336\) | 2255.00 | + | 3905.77i | 0.366132 | + | 0.634159i | ||||
\(337\) | 3178.50 | − | 5505.32i | 0.513780 | − | 0.889893i | −0.486092 | − | 0.873908i | \(-0.661578\pi\) |
0.999872 | − | 0.0159858i | \(-0.00508865\pi\) | |||||||
\(338\) | 359.500 | + | 622.672i | 0.0578527 | + | 0.100204i | ||||
\(339\) | 2647.50 | − | 4585.60i | 0.424167 | − | 0.734678i | ||||
\(340\) | −945.000 | + | 1636.79i | −0.150735 | + | 0.261080i | ||||
\(341\) | −2268.00 | −0.360173 | ||||||||
\(342\) | −133.000 | − | 98.7269i | −0.0210287 | − | 0.0156098i | ||||
\(343\) | −4444.00 | −0.699573 | ||||||||
\(344\) | −3720.00 | + | 6443.23i | −0.583049 | + | 1.00987i | ||||
\(345\) | −1150.00 | + | 1991.86i | −0.179461 | + | 0.310835i | ||||
\(346\) | 99.0000 | + | 171.473i | 0.0153823 | + | 0.0266429i | ||||
\(347\) | 6279.50 | − | 10876.4i | 0.971473 | − | 1.68264i | 0.280359 | − | 0.959895i | \(-0.409546\pi\) |
0.691114 | − | 0.722746i | \(-0.257120\pi\) | |||||||
\(348\) | 2345.00 | + | 4061.66i | 0.361222 | + | 0.625655i | ||||
\(349\) | 7336.00 | 1.12518 | 0.562589 | − | 0.826737i | \(-0.309805\pi\) | ||||
0.562589 | + | 0.826737i | \(0.309805\pi\) | |||||||
\(350\) | −550.000 | −0.0839964 | ||||||||
\(351\) | −3915.00 | − | 6780.98i | −0.595348 | − | 1.03117i | ||||
\(352\) | 724.500 | + | 1254.87i | 0.109704 | + | 0.190014i | ||||
\(353\) | 10451.0 | 1.57578 | 0.787890 | − | 0.615816i | \(-0.211173\pi\) | ||||
0.787890 | + | 0.615816i | \(0.211173\pi\) | |||||||
\(354\) | 3405.00 | 0.511225 | ||||||||
\(355\) | 2435.00 | + | 4217.54i | 0.364046 | + | 0.630546i | ||||
\(356\) | 2541.00 | − | 4401.14i | 0.378294 | − | 0.655225i | ||||
\(357\) | −2970.00 | − | 5144.19i | −0.440306 | − | 0.762632i | ||||
\(358\) | −632.500 | + | 1095.52i | −0.0933762 | + | 0.161732i | ||||
\(359\) | −3650.00 | + | 6321.99i | −0.536601 | + | 0.929420i | 0.462483 | + | 0.886628i | \(0.346958\pi\) |
−0.999084 | + | 0.0427916i | \(0.986375\pi\) | |||||||
\(360\) | −150.000 | −0.0219603 | ||||||||
\(361\) | 1985.50 | + | 6565.34i | 0.289474 | + | 0.957186i | ||||
\(362\) | 4076.00 | 0.591795 | ||||||||
\(363\) | −3125.00 | + | 5412.66i | −0.451846 | + | 0.782620i | ||||
\(364\) | 4158.00 | − | 7201.87i | 0.598732 | − | 1.03703i | ||||
\(365\) | −1737.50 | − | 3009.44i | −0.249164 | − | 0.431565i | ||||
\(366\) | 355.000 | − | 614.878i | 0.0506999 | − | 0.0878147i | ||||
\(367\) | 316.000 | + | 547.328i | 0.0449457 | + | 0.0778482i | 0.887623 | − | 0.460571i | \(-0.152355\pi\) |
−0.842677 | + | 0.538419i | \(0.819022\pi\) | |||||||
\(368\) | −3772.00 | −0.534318 | ||||||||
\(369\) | 486.000 | 0.0685641 | ||||||||
\(370\) | −590.000 | − | 1021.91i | −0.0828990 | − | 0.143585i | ||||
\(371\) | −682.000 | − | 1181.26i | −0.0954385 | − | 0.165304i | ||||
\(372\) | −8820.00 | −1.22929 | ||||||||
\(373\) | −96.0000 | −0.0133263 | −0.00666313 | − | 0.999978i | \(-0.502121\pi\) | ||||
−0.00666313 | + | 0.999978i | \(0.502121\pi\) | |||||||
\(374\) | −243.000 | − | 420.888i | −0.0335969 | − | 0.0581915i | ||||
\(375\) | 312.500 | − | 541.266i | 0.0430331 | − | 0.0745356i | ||||
\(376\) | −3765.00 | − | 6521.17i | −0.516396 | − | 0.894425i | ||||
\(377\) | 3618.00 | − | 6266.56i | 0.494261 | − | 0.856086i | ||||
\(378\) | 1595.00 | − | 2762.62i | 0.217032 | − | 0.375910i | ||||
\(379\) | 10964.0 | 1.48597 | 0.742985 | − | 0.669308i | \(-0.233409\pi\) | ||||
0.742985 | + | 0.669308i | \(0.233409\pi\) | |||||||
\(380\) | 2327.50 | + | 1727.72i | 0.314206 | + | 0.233237i | ||||
\(381\) | −590.000 | −0.0793349 | ||||||||
\(382\) | 1646.00 | − | 2850.96i | 0.220463 | − | 0.381852i | ||||
\(383\) | −1009.00 | + | 1747.64i | −0.134615 | + | 0.233160i | −0.925450 | − | 0.378869i | \(-0.876313\pi\) |
0.790835 | + | 0.612029i | \(0.209646\pi\) | |||||||
\(384\) | 3637.50 | + | 6300.33i | 0.483399 | + | 0.837272i | ||||
\(385\) | −495.000 | + | 857.365i | −0.0655261 | + | 0.113494i | ||||
\(386\) | 969.000 | + | 1678.36i | 0.127774 | + | 0.221311i | ||||
\(387\) | −992.000 | −0.130300 | ||||||||
\(388\) | 8169.00 | 1.06886 | ||||||||
\(389\) | −4364.00 | − | 7558.67i | −0.568801 | − | 0.985192i | −0.996685 | − | 0.0813585i | \(-0.974074\pi\) |
0.427884 | − | 0.903834i | \(-0.359259\pi\) | |||||||
\(390\) | −675.000 | − | 1169.13i | −0.0876409 | − | 0.151799i | ||||
\(391\) | 4968.00 | 0.642564 | ||||||||
\(392\) | 2115.00 | 0.272509 | ||||||||
\(393\) | 1667.50 | + | 2888.19i | 0.214031 | + | 0.370713i | ||||
\(394\) | 2262.00 | − | 3917.90i | 0.289233 | − | 0.500967i | ||||
\(395\) | 1840.00 | + | 3186.97i | 0.234381 | + | 0.405960i | ||||
\(396\) | −63.0000 | + | 109.119i | −0.00799462 | + | 0.0138471i | ||||
\(397\) | −4782.00 | + | 8282.67i | −0.604538 | + | 1.04709i | 0.387586 | + | 0.921834i | \(0.373309\pi\) |
−0.992124 | + | 0.125257i | \(0.960024\pi\) | |||||||
\(398\) | −4282.00 | −0.539290 | ||||||||
\(399\) | −8360.00 | + | 3619.99i | −1.04893 | + | 0.454200i | ||||
\(400\) | 1025.00 | 0.128125 | ||||||||
\(401\) | 2933.50 | − | 5080.97i | 0.365317 | − | 0.632747i | −0.623510 | − | 0.781815i | \(-0.714294\pi\) |
0.988827 | + | 0.149068i | \(0.0476274\pi\) | |||||||
\(402\) | −137.500 | + | 238.157i | −0.0170594 | + | 0.0295477i | ||||
\(403\) | 6804.00 | + | 11784.9i | 0.841021 | + | 1.45669i | ||||
\(404\) | −105.000 | + | 181.865i | −0.0129306 | + | 0.0223964i | ||||
\(405\) | 1677.50 | + | 2905.52i | 0.205816 | + | 0.356484i | ||||
\(406\) | 2948.00 | 0.360362 | ||||||||
\(407\) | −2124.00 | −0.258680 | ||||||||
\(408\) | −2025.00 | − | 3507.40i | −0.245717 | − | 0.425594i | ||||
\(409\) | 417.500 | + | 723.131i | 0.0504744 | + | 0.0874243i | 0.890159 | − | 0.455651i | \(-0.150593\pi\) |
−0.839684 | + | 0.543075i | \(0.817260\pi\) | |||||||
\(410\) | 1215.00 | 0.146353 | ||||||||
\(411\) | 5255.00 | 0.630681 | ||||||||
\(412\) | −2107.00 | − | 3649.43i | −0.251953 | − | 0.436395i | ||||
\(413\) | −7491.00 | + | 12974.8i | −0.892513 | + | 1.54588i | ||||
\(414\) | 92.0000 | + | 159.349i | 0.0109216 | + | 0.0189168i | ||||
\(415\) | 157.500 | − | 272.798i | 0.0186298 | − | 0.0322678i | ||||
\(416\) | 4347.00 | − | 7529.22i | 0.512330 | − | 0.887381i | ||||
\(417\) | 4175.00 | 0.490289 | ||||||||
\(418\) | −684.000 | + | 296.181i | −0.0800372 | + | 0.0346571i | ||||
\(419\) | 756.000 | 0.0881456 | 0.0440728 | − | 0.999028i | \(-0.485967\pi\) | ||||
0.0440728 | + | 0.999028i | \(0.485967\pi\) | |||||||
\(420\) | −1925.00 | + | 3334.20i | −0.223644 | + | 0.387362i | ||||
\(421\) | 1950.00 | − | 3377.50i | 0.225742 | − | 0.390996i | −0.730800 | − | 0.682592i | \(-0.760853\pi\) |
0.956542 | + | 0.291596i | \(0.0941862\pi\) | |||||||
\(422\) | −970.000 | − | 1680.09i | −0.111893 | − | 0.193804i | ||||
\(423\) | 502.000 | − | 869.490i | 0.0577023 | − | 0.0999433i | ||||
\(424\) | −465.000 | − | 805.404i | −0.0532604 | − | 0.0922497i | ||||
\(425\) | −1350.00 | −0.154081 | ||||||||
\(426\) | −4870.00 | −0.553879 | ||||||||
\(427\) | 1562.00 | + | 2705.46i | 0.177027 | + | 0.306620i | ||||
\(428\) | 2310.00 | + | 4001.04i | 0.260883 | + | 0.451863i | ||||
\(429\) | −2430.00 | −0.273477 | ||||||||
\(430\) | −2480.00 | −0.278131 | ||||||||
\(431\) | −7353.00 | − | 12735.8i | −0.821767 | − | 1.42334i | −0.904365 | − | 0.426759i | \(-0.859655\pi\) |
0.0825984 | − | 0.996583i | \(-0.473678\pi\) | |||||||
\(432\) | −2972.50 | + | 5148.52i | −0.331052 | + | 0.573399i | ||||
\(433\) | −3919.00 | − | 6787.91i | −0.434954 | − | 0.753363i | 0.562338 | − | 0.826908i | \(-0.309902\pi\) |
−0.997292 | + | 0.0735450i | \(0.976569\pi\) | |||||||
\(434\) | −2772.00 | + | 4801.24i | −0.306590 | + | 0.531030i | ||||
\(435\) | −1675.00 | + | 2901.19i | −0.184621 | + | 0.319773i | ||||
\(436\) | 840.000 | 0.0922677 | ||||||||
\(437\) | 874.000 | − | 7569.06i | 0.0956730 | − | 0.828552i | ||||
\(438\) | 3475.00 | 0.379091 | ||||||||
\(439\) | −8814.00 | + | 15266.3i | −0.958244 | + | 1.65973i | −0.231482 | + | 0.972839i | \(0.574357\pi\) |
−0.726763 | + | 0.686889i | \(0.758976\pi\) | |||||||
\(440\) | −337.500 | + | 584.567i | −0.0365675 | + | 0.0633367i | ||||
\(441\) | 141.000 | + | 244.219i | 0.0152251 | + | 0.0263707i | ||||
\(442\) | −1458.00 | + | 2525.33i | −0.156900 | + | 0.271760i | ||||
\(443\) | −4633.50 | − | 8025.46i | −0.496940 | − | 0.860725i | 0.503054 | − | 0.864255i | \(-0.332210\pi\) |
−0.999994 | + | 0.00353028i | \(0.998876\pi\) | |||||||
\(444\) | −8260.00 | −0.882888 | ||||||||
\(445\) | 3630.00 | 0.386693 | ||||||||
\(446\) | −2078.00 | − | 3599.20i | −0.220619 | − | 0.382124i | ||||
\(447\) | 6840.00 | + | 11847.2i | 0.723760 | + | 1.25359i | ||||
\(448\) | −3674.00 | −0.387456 | ||||||||
\(449\) | −9371.00 | −0.984955 | −0.492478 | − | 0.870325i | \(-0.663909\pi\) | ||||
−0.492478 | + | 0.870325i | \(0.663909\pi\) | |||||||
\(450\) | −25.0000 | − | 43.3013i | −0.00261891 | − | 0.00453609i | ||||
\(451\) | 1093.50 | − | 1894.00i | 0.114171 | − | 0.197749i | ||||
\(452\) | 3706.50 | + | 6419.85i | 0.385706 | + | 0.668062i | ||||
\(453\) | −940.000 | + | 1628.13i | −0.0974946 | + | 0.168866i | ||||
\(454\) | 1046.50 | − | 1812.59i | 0.108182 | − | 0.187377i | ||||
\(455\) | 5940.00 | 0.612025 | ||||||||
\(456\) | −5700.00 | + | 2468.17i | −0.585366 | + | 0.253471i | ||||
\(457\) | −4107.00 | −0.420388 | −0.210194 | − | 0.977660i | \(-0.567410\pi\) | ||||
−0.210194 | + | 0.977660i | \(0.567410\pi\) | |||||||
\(458\) | −2156.00 | + | 3734.30i | −0.219963 | + | 0.380988i | ||||
\(459\) | 3915.00 | − | 6780.98i | 0.398119 | − | 0.689562i | ||||
\(460\) | −1610.00 | − | 2788.60i | −0.163188 | − | 0.282650i | ||||
\(461\) | 2715.00 | − | 4702.52i | 0.274295 | − | 0.475093i | −0.695662 | − | 0.718369i | \(-0.744889\pi\) |
0.969957 | + | 0.243276i | \(0.0782221\pi\) | |||||||
\(462\) | −495.000 | − | 857.365i | −0.0498474 | − | 0.0863382i | ||||
\(463\) | −14222.0 | −1.42754 | −0.713771 | − | 0.700379i | \(-0.753014\pi\) | ||||
−0.713771 | + | 0.700379i | \(0.753014\pi\) | |||||||
\(464\) | −5494.00 | −0.549682 | ||||||||
\(465\) | −3150.00 | − | 5455.96i | −0.314146 | − | 0.544116i | ||||
\(466\) | −2114.50 | − | 3662.42i | −0.210198 | − | 0.364074i | ||||
\(467\) | −3885.00 | −0.384960 | −0.192480 | − | 0.981301i | \(-0.561653\pi\) | ||||
−0.192480 | + | 0.981301i | \(0.561653\pi\) | |||||||
\(468\) | 756.000 | 0.0746712 | ||||||||
\(469\) | −605.000 | − | 1047.89i | −0.0595657 | − | 0.103171i | ||||
\(470\) | 1255.00 | − | 2173.72i | 0.123168 | − | 0.213333i | ||||
\(471\) | −2480.00 | − | 4295.49i | −0.242616 | − | 0.420224i | ||||
\(472\) | −5107.50 | + | 8846.45i | −0.498076 | + | 0.862692i | ||||
\(473\) | −2232.00 | + | 3865.94i | −0.216971 | + | 0.375805i | ||||
\(474\) | −3680.00 | −0.356599 | ||||||||
\(475\) | −237.500 | + | 2056.81i | −0.0229416 | + | 0.198680i | ||||
\(476\) | 8316.00 | 0.800763 | ||||||||
\(477\) | 62.0000 | − | 107.387i | 0.00595133 | − | 0.0103080i | ||||
\(478\) | −2778.00 | + | 4811.64i | −0.265822 | + | 0.460417i | ||||
\(479\) | −2190.00 | − | 3793.19i | −0.208901 | − | 0.361827i | 0.742467 | − | 0.669882i | \(-0.233655\pi\) |
−0.951369 | + | 0.308055i | \(0.900322\pi\) | |||||||
\(480\) | −2012.50 | + | 3485.75i | −0.191370 | + | 0.331463i | ||||
\(481\) | 6372.00 | + | 11036.6i | 0.604030 | + | 1.04621i | ||||
\(482\) | 4419.00 | 0.417593 | ||||||||
\(483\) | 10120.0 | 0.953366 | ||||||||
\(484\) | −4375.00 | − | 7577.72i | −0.410875 | − | 0.711657i | ||||
\(485\) | 2917.50 | + | 5053.26i | 0.273148 | + | 0.473106i | ||||
\(486\) | 560.000 | 0.0522677 | ||||||||
\(487\) | −18856.0 | −1.75451 | −0.877256 | − | 0.480024i | \(-0.840628\pi\) | ||||
−0.877256 | + | 0.480024i | \(0.840628\pi\) | |||||||
\(488\) | 1065.00 | + | 1844.63i | 0.0987916 | + | 0.171112i | ||||
\(489\) | 7617.50 | − | 13193.9i | 0.704448 | − | 1.22014i | ||||
\(490\) | 352.500 | + | 610.548i | 0.0324986 | + | 0.0562893i | ||||
\(491\) | −794.000 | + | 1375.25i | −0.0729791 | + | 0.126403i | −0.900206 | − | 0.435465i | \(-0.856584\pi\) |
0.827227 | + | 0.561868i | \(0.189917\pi\) | |||||||
\(492\) | 4252.50 | − | 7365.55i | 0.389670 | − | 0.674928i | ||||
\(493\) | 7236.00 | 0.661041 | ||||||||
\(494\) | 3591.00 | + | 2665.63i | 0.327058 | + | 0.242778i | ||||
\(495\) | −90.0000 | −0.00817212 | ||||||||
\(496\) | 5166.00 | − | 8947.77i | 0.467662 | − | 0.810014i | ||||
\(497\) | 10714.0 | − | 18557.2i | 0.966979 | − | 1.67486i | ||||
\(498\) | 157.500 | + | 272.798i | 0.0141722 | + | 0.0245469i | ||||
\(499\) | −5578.50 | + | 9662.25i | −0.500457 | + | 0.866817i | 0.499543 | + | 0.866289i | \(0.333501\pi\) |
−1.00000 | 0.000527580i | \(0.999832\pi\) | ||||||||
\(500\) | 437.500 | + | 757.772i | 0.0391312 | + | 0.0677772i | ||||
\(501\) | 6520.00 | 0.581421 | ||||||||
\(502\) | 3957.00 | 0.351812 | ||||||||
\(503\) | 9024.00 | + | 15630.0i | 0.799921 | + | 1.38550i | 0.919667 | + | 0.392699i | \(0.128459\pi\) |
−0.119746 | + | 0.992805i | \(0.538208\pi\) | |||||||
\(504\) | 330.000 | + | 571.577i | 0.0291654 | + | 0.0505160i | ||||
\(505\) | −150.000 | −0.0132176 | ||||||||
\(506\) | 828.000 | 0.0727452 | ||||||||
\(507\) | 1797.50 | + | 3113.36i | 0.157455 | + | 0.272720i | ||||
\(508\) | 413.000 | − | 715.337i | 0.0360707 | − | 0.0624763i | ||||
\(509\) | 2094.00 | + | 3626.91i | 0.182348 | + | 0.315835i | 0.942680 | − | 0.333699i | \(-0.108297\pi\) |
−0.760332 | + | 0.649535i | \(0.774964\pi\) | |||||||
\(510\) | 675.000 | − | 1169.13i | 0.0586069 | − | 0.101510i | ||||
\(511\) | −7645.00 | + | 13241.5i | −0.661830 | + | 1.14632i | ||||
\(512\) | −11521.0 | −0.994455 | ||||||||
\(513\) | −9642.50 | − | 7157.70i | −0.829877 | − | 0.616024i | ||||
\(514\) | 877.000 | 0.0752584 | ||||||||
\(515\) | 1505.00 | − | 2606.74i | 0.128773 | − | 0.223042i | ||||
\(516\) | −8680.00 | + | 15034.2i | −0.740534 | + | 1.28264i | ||||
\(517\) | −2259.00 | − | 3912.70i | −0.192168 | − | 0.332844i | ||||
\(518\) | −2596.00 | + | 4496.40i | −0.220196 | + | 0.381391i | ||||
\(519\) | 495.000 | + | 857.365i | 0.0418653 | + | 0.0725128i | ||||
\(520\) | 4050.00 | 0.341547 | ||||||||
\(521\) | 20405.0 | 1.71585 | 0.857926 | − | 0.513773i | \(-0.171753\pi\) | ||||
0.857926 | + | 0.513773i | \(0.171753\pi\) | |||||||
\(522\) | 134.000 | + | 232.095i | 0.0112357 | + | 0.0194608i | ||||
\(523\) | −3604.00 | − | 6242.31i | −0.301323 | − | 0.521907i | 0.675113 | − | 0.737714i | \(-0.264095\pi\) |
−0.976436 | + | 0.215808i | \(0.930762\pi\) | |||||||
\(524\) | −4669.00 | −0.389248 | ||||||||
\(525\) | −2750.00 | −0.228609 | ||||||||
\(526\) | −1215.00 | − | 2104.44i | −0.100716 | − | 0.174445i | ||||
\(527\) | −6804.00 | + | 11784.9i | −0.562404 | + | 0.974112i | ||||
\(528\) | 922.500 | + | 1597.82i | 0.0760353 | + | 0.131697i | ||||
\(529\) | 1851.50 | − | 3206.89i | 0.152174 | − | 0.263573i | ||||
\(530\) | 155.000 | − | 268.468i | 0.0127033 | − | 0.0220028i | ||||
\(531\) | −1362.00 | −0.111310 | ||||||||
\(532\) | 1463.00 | − | 12670.0i | 0.119228 | − | 1.03254i | ||||
\(533\) | −13122.0 | −1.06637 | ||||||||
\(534\) | −1815.00 | + | 3143.67i | −0.147084 | + | 0.254757i | ||||
\(535\) | −1650.00 | + | 2857.88i | −0.133338 | + | 0.230948i | ||||
\(536\) | −412.500 | − | 714.471i | −0.0332412 | − | 0.0575755i | ||||
\(537\) | −3162.50 | + | 5477.61i | −0.254138 | + | 0.440179i | ||||
\(538\) | 2346.00 | + | 4063.39i | 0.187999 | + | 0.325623i | ||||
\(539\) | 1269.00 | 0.101409 | ||||||||
\(540\) | −5075.00 | −0.404432 | ||||||||
\(541\) | −1704.00 | − | 2951.41i | −0.135417 | − | 0.234549i | 0.790340 | − | 0.612669i | \(-0.209904\pi\) |
−0.925757 | + | 0.378120i | \(0.876571\pi\) | |||||||
\(542\) | −4381.00 | − | 7588.11i | −0.347196 | − | 0.601361i | ||||
\(543\) | 20380.0 | 1.61066 | ||||||||
\(544\) | 8694.00 | 0.685206 | ||||||||
\(545\) | 300.000 | + | 519.615i | 0.0235791 | + | 0.0408401i | ||||
\(546\) | −2970.00 | + | 5144.19i | −0.232792 | + | 0.403207i | ||||
\(547\) | 4708.00 | + | 8154.50i | 0.368006 | + | 0.637406i | 0.989254 | − | 0.146209i | \(-0.0467071\pi\) |
−0.621247 | + | 0.783615i | \(0.713374\pi\) | |||||||
\(548\) | −3678.50 | + | 6371.35i | −0.286748 | + | 0.496662i | ||||
\(549\) | −142.000 | + | 245.951i | −0.0110390 | + | 0.0191201i | ||||
\(550\) | −225.000 | −0.0174437 | ||||||||
\(551\) | 1273.00 | − | 11024.5i | 0.0984240 | − | 0.852377i | ||||
\(552\) | 6900.00 | 0.532035 | ||||||||
\(553\) | 8096.00 | − | 14022.7i | 0.622562 | − | 1.07831i | ||||
\(554\) | 2507.00 | − | 4342.25i | 0.192260 | − | 0.333005i | ||||
\(555\) | −2950.00 | − | 5109.55i | −0.225623 | − | 0.390790i | ||||
\(556\) | −2922.50 | + | 5061.92i | −0.222917 | + | 0.386103i | ||||
\(557\) | 7956.00 | + | 13780.2i | 0.605218 | + | 1.04827i | 0.992017 | + | 0.126105i | \(0.0402475\pi\) |
−0.386799 | + | 0.922164i | \(0.626419\pi\) | |||||||
\(558\) | −504.000 | −0.0382366 | ||||||||
\(559\) | 26784.0 | 2.02655 | ||||||||
\(560\) | −2255.00 | − | 3905.77i | −0.170163 | − | 0.294731i | ||||
\(561\) | −1215.00 | − | 2104.44i | −0.0914391 | − | 0.158377i | ||||
\(562\) | 3865.00 | 0.290098 | ||||||||
\(563\) | 1533.00 | 0.114757 | 0.0573785 | − | 0.998352i | \(-0.481726\pi\) | ||||
0.0573785 | + | 0.998352i | \(0.481726\pi\) | |||||||
\(564\) | −8785.00 | − | 15216.1i | −0.655878 | − | 1.13601i | ||||
\(565\) | −2647.50 | + | 4585.60i | −0.197135 | + | 0.341447i | ||||
\(566\) | −296.500 | − | 513.553i | −0.0220191 | − | 0.0381382i | ||||
\(567\) | 7381.00 | − | 12784.3i | 0.546689 | − | 0.946894i | ||||
\(568\) | 7305.00 | − | 12652.6i | 0.539632 | − | 0.934670i | ||||
\(569\) | −16070.0 | −1.18399 | −0.591994 | − | 0.805942i | \(-0.701659\pi\) | ||||
−0.591994 | + | 0.805942i | \(0.701659\pi\) | |||||||
\(570\) | −1662.50 | − | 1234.09i | −0.122166 | − | 0.0906845i | ||||
\(571\) | −8097.00 | −0.593431 | −0.296715 | − | 0.954966i | \(-0.595891\pi\) | ||||
−0.296715 | + | 0.954966i | \(0.595891\pi\) | |||||||
\(572\) | 1701.00 | − | 2946.22i | 0.124340 | − | 0.215363i | ||||
\(573\) | 8230.00 | − | 14254.8i | 0.600023 | − | 1.03927i | ||||
\(574\) | −2673.00 | − | 4629.77i | −0.194371 | − | 0.336660i | ||||
\(575\) | 1150.00 | − | 1991.86i | 0.0834058 | − | 0.144463i | ||||
\(576\) | −167.000 | − | 289.252i | −0.0120804 | − | 0.0209239i | ||||
\(577\) | 17927.0 | 1.29343 | 0.646716 | − | 0.762731i | \(-0.276142\pi\) | ||||
0.646716 | + | 0.762731i | \(0.276142\pi\) | |||||||
\(578\) | 1997.00 | 0.143710 | ||||||||
\(579\) | 4845.00 | + | 8391.79i | 0.347757 | + | 0.602333i | ||||
\(580\) | −2345.00 | − | 4061.66i | −0.167881 | − | 0.290778i | ||||
\(581\) | −1386.00 | −0.0989690 | ||||||||
\(582\) | −5835.00 | −0.415582 | ||||||||
\(583\) | −279.000 | − | 483.242i | −0.0198199 | − | 0.0343291i | ||||
\(584\) | −5212.50 | + | 9028.31i | −0.369340 | + | 0.639716i | ||||
\(585\) | 270.000 | + | 467.654i | 0.0190823 | + | 0.0330515i | ||||
\(586\) | −2919.00 | + | 5055.86i | −0.205773 | + | 0.356409i | ||||
\(587\) | 9904.00 | − | 17154.2i | 0.696392 | − | 1.20619i | −0.273318 | − | 0.961924i | \(-0.588121\pi\) |
0.969709 | − | 0.244262i | \(-0.0785456\pi\) | |||||||
\(588\) | 4935.00 | 0.346116 | ||||||||
\(589\) | 16758.0 | + | 12439.6i | 1.17233 | + | 0.870228i | ||||
\(590\) | −3405.00 | −0.237596 | ||||||||
\(591\) | 11310.0 | − | 19589.5i | 0.787193 | − | 1.36346i | ||||
\(592\) | 4838.00 | − | 8379.66i | 0.335879 | − | 0.581760i | ||||
\(593\) | 2790.50 | + | 4833.29i | 0.193241 | + | 0.334704i | 0.946323 | − | 0.323224i | \(-0.104767\pi\) |
−0.753081 | + | 0.657928i | \(0.771433\pi\) | |||||||
\(594\) | 652.500 | − | 1130.16i | 0.0450714 | − | 0.0780659i | ||||
\(595\) | 2970.00 | + | 5144.19i | 0.204636 | + | 0.354439i | ||||
\(596\) | −19152.0 | −1.31627 | ||||||||
\(597\) | −21410.0 | −1.46776 | ||||||||
\(598\) | −2484.00 | − | 4302.41i | −0.169863 | − | 0.294212i | ||||
\(599\) | 12394.0 | + | 21467.0i | 0.845418 | + | 1.46431i | 0.885258 | + | 0.465100i | \(0.153982\pi\) |
−0.0398405 | + | 0.999206i | \(0.512685\pi\) | |||||||
\(600\) | −1875.00 | −0.127578 | ||||||||
\(601\) | −413.000 | −0.0280310 | −0.0140155 | − | 0.999902i | \(-0.504461\pi\) | ||||
−0.0140155 | + | 0.999902i | \(0.504461\pi\) | |||||||
\(602\) | 5456.00 | + | 9450.07i | 0.369385 | + | 0.639794i | ||||
\(603\) | 55.0000 | − | 95.2628i | 0.00371438 | − | 0.00643350i | ||||
\(604\) | −1316.00 | − | 2279.38i | −0.0886544 | − | 0.153554i | ||||
\(605\) | 3125.00 | − | 5412.66i | 0.209999 | − | 0.363729i | ||||
\(606\) | 75.0000 | − | 129.904i | 0.00502750 | − | 0.00870789i | ||||
\(607\) | −22778.0 | −1.52311 | −0.761557 | − | 0.648098i | \(-0.775565\pi\) | ||||
−0.761557 | + | 0.648098i | \(0.775565\pi\) | |||||||
\(608\) | 1529.50 | − | 13245.9i | 0.102022 | − | 0.883537i | ||||
\(609\) | 14740.0 | 0.980780 | ||||||||
\(610\) | −355.000 | + | 614.878i | −0.0235632 | + | 0.0408126i | ||||
\(611\) | −13554.0 | + | 23476.2i | −0.897441 | + | 1.55441i | ||||
\(612\) | 378.000 | + | 654.715i | 0.0249669 | + | 0.0432439i | ||||
\(613\) | 4729.00 | − | 8190.87i | 0.311586 | − | 0.539684i | −0.667120 | − | 0.744951i | \(-0.732473\pi\) |
0.978706 | + | 0.205267i | \(0.0658063\pi\) | |||||||
\(614\) | 123.500 | + | 213.908i | 0.00811735 | + | 0.0140597i | ||||
\(615\) | 6075.00 | 0.398321 | ||||||||
\(616\) | 2970.00 | 0.194261 | ||||||||
\(617\) | 6314.50 | + | 10937.0i | 0.412013 | + | 0.713628i | 0.995110 | − | 0.0987749i | \(-0.0314924\pi\) |
−0.583097 | + | 0.812403i | \(0.698159\pi\) | |||||||
\(618\) | 1505.00 | + | 2606.74i | 0.0979611 | + | 0.169674i | ||||
\(619\) | −4984.00 | −0.323625 | −0.161812 | − | 0.986822i | \(-0.551734\pi\) | ||||
−0.161812 | + | 0.986822i | \(0.551734\pi\) | |||||||
\(620\) | 8820.00 | 0.571322 | ||||||||
\(621\) | 6670.00 | + | 11552.8i | 0.431011 | + | 0.746533i | ||||
\(622\) | −5110.00 | + | 8850.78i | −0.329409 | + | 0.570553i | ||||
\(623\) | −7986.00 | − | 13832.2i | −0.513567 | − | 0.889524i | ||||
\(624\) | 5535.00 | − | 9586.90i | 0.355092 | − | 0.615037i | ||||
\(625\) | −312.500 | + | 541.266i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 7835.00 | 0.500239 | ||||||||
\(627\) | −3420.00 | + | 1480.90i | −0.217834 | + | 0.0943247i | ||||
\(628\) | 6944.00 | 0.441235 | ||||||||
\(629\) | −6372.00 | + | 11036.6i | −0.403924 | + | 0.699617i | ||||
\(630\) | −110.000 | + | 190.526i | −0.00695636 | + | 0.0120488i | ||||
\(631\) | 3077.00 | + | 5329.52i | 0.194126 | + | 0.336236i | 0.946614 | − | 0.322370i | \(-0.104480\pi\) |
−0.752488 | + | 0.658606i | \(0.771146\pi\) | |||||||
\(632\) | 5520.00 | − | 9560.92i | 0.347427 | − | 0.601761i | ||||
\(633\) | −4850.00 | − | 8400.45i | −0.304534 | − | 0.527469i | ||||
\(634\) | 3774.00 | 0.236411 | ||||||||
\(635\) | 590.000 | 0.0368716 | ||||||||
\(636\) | −1085.00 | − | 1879.28i | −0.0676463 | − | 0.117167i | ||||
\(637\) | −3807.00 | − | 6593.92i | −0.236796 | − | 0.410142i | ||||
\(638\) | 1206.00 | 0.0748370 | ||||||||
\(639\) | 1948.00 | 0.120597 | ||||||||
\(640\) | −3637.50 | − | 6300.33i | −0.224664 | − | 0.389129i | ||||
\(641\) | −1350.50 | + | 2339.13i | −0.0832161 | + | 0.144135i | −0.904630 | − | 0.426198i | \(-0.859853\pi\) |
0.821414 | + | 0.570333i | \(0.193186\pi\) | |||||||
\(642\) | −1650.00 | − | 2857.88i | −0.101433 | − | 0.175688i | ||||
\(643\) | 996.500 | − | 1725.99i | 0.0611168 | − | 0.105857i | −0.833848 | − | 0.551994i | \(-0.813867\pi\) |
0.894965 | + | 0.446137i | \(0.147200\pi\) | |||||||
\(644\) | −7084.00 | + | 12269.8i | −0.433461 | + | 0.750776i | ||||
\(645\) | −12400.0 | −0.756976 | ||||||||
\(646\) | −513.000 | + | 4442.71i | −0.0312441 | + | 0.270582i | ||||
\(647\) | 15638.0 | 0.950221 | 0.475111 | − | 0.879926i | \(-0.342408\pi\) | ||||
0.475111 | + | 0.879926i | \(0.342408\pi\) | |||||||
\(648\) | 5032.50 | − | 8716.55i | 0.305085 | − | 0.528423i | ||||
\(649\) | −3064.50 | + | 5307.87i | −0.185350 | + | 0.321036i | ||||
\(650\) | 675.000 | + | 1169.13i | 0.0407318 | + | 0.0705496i | ||||
\(651\) | −13860.0 | + | 24006.2i | −0.834434 | + | 1.44528i | ||||
\(652\) | 10664.5 | + | 18471.5i | 0.640574 | + | 1.10951i | ||||
\(653\) | 3180.00 | 0.190571 | 0.0952856 | − | 0.995450i | \(-0.469624\pi\) | ||||
0.0952856 | + | 0.995450i | \(0.469624\pi\) | |||||||
\(654\) | −600.000 | −0.0358744 | ||||||||
\(655\) | −1667.50 | − | 2888.19i | −0.0994727 | − | 0.172292i | ||||
\(656\) | 4981.50 | + | 8628.21i | 0.296486 | + | 0.513529i | ||||
\(657\) | −1390.00 | −0.0825404 | ||||||||
\(658\) | −11044.0 | −0.654316 | ||||||||
\(659\) | −150.000 | − | 259.808i | −0.00886672 | − | 0.0153576i | 0.861558 | − | 0.507659i | \(-0.169489\pi\) |
−0.870425 | + | 0.492302i | \(0.836156\pi\) | |||||||
\(660\) | −787.500 | + | 1363.99i | −0.0464445 | + | 0.0804443i | ||||
\(661\) | −895.000 | − | 1550.19i | −0.0526648 | − | 0.0912182i | 0.838491 | − | 0.544915i | \(-0.183438\pi\) |
−0.891156 | + | 0.453697i | \(0.850105\pi\) | |||||||
\(662\) | −2.50000 | + | 4.33013i | −0.000146775 | + | 0.000254222i | ||||
\(663\) | −7290.00 | + | 12626.7i | −0.427029 | + | 0.739636i | ||||
\(664\) | −945.000 | −0.0552306 | ||||||||
\(665\) | 8360.00 | − | 3619.99i | 0.487499 | − | 0.211093i | ||||
\(666\) | −472.000 | −0.0274619 | ||||||||
\(667\) | −6164.00 | + | 10676.4i | −0.357828 | + | 0.619776i | ||||
\(668\) | −4564.00 | + | 7905.08i | −0.264351 | + | 0.457869i | ||||
\(669\) | −10390.0 | − | 17996.0i | −0.600449 | − | 1.04001i | ||||
\(670\) | 137.500 | − | 238.157i | 0.00792849 | − | 0.0137325i | ||||
\(671\) | 639.000 | + | 1106.78i | 0.0367635 | + | 0.0636763i | ||||
\(672\) | 17710.0 | 1.01663 | ||||||||
\(673\) | −13830.0 | −0.792136 | −0.396068 | − | 0.918221i | \(-0.629625\pi\) | ||||
−0.396068 | + | 0.918221i | \(0.629625\pi\) | |||||||
\(674\) | −3178.50 | − | 5505.32i | −0.181649 | − | 0.314625i | ||||
\(675\) | −1812.50 | − | 3139.34i | −0.103353 | − | 0.179012i | ||||
\(676\) | −5033.00 | −0.286356 | ||||||||
\(677\) | −6090.00 | −0.345728 | −0.172864 | − | 0.984946i | \(-0.555302\pi\) | ||||
−0.172864 | + | 0.984946i | \(0.555302\pi\) | |||||||
\(678\) | −2647.50 | − | 4585.60i | −0.149966 | − | 0.259748i | ||||
\(679\) | 12837.0 | − | 22234.3i | 0.725536 | − | 1.25666i | ||||
\(680\) | 2025.00 | + | 3507.40i | 0.114199 | + | 0.197798i | ||||
\(681\) | 5232.50 | − | 9062.96i | 0.294434 | − | 0.509975i | ||||
\(682\) | −1134.00 | + | 1964.15i | −0.0636702 | + | 0.110280i | ||||
\(683\) | −21180.0 | −1.18657 | −0.593287 | − | 0.804991i | \(-0.702170\pi\) | ||||
−0.593287 | + | 0.804991i | \(0.702170\pi\) | |||||||
\(684\) | 1064.00 | − | 460.726i | 0.0594782 | − | 0.0257548i | ||||
\(685\) | −5255.00 | −0.293114 | ||||||||
\(686\) | −2222.00 | + | 3848.62i | −0.123668 | + | 0.214200i | ||||
\(687\) | −10780.0 | + | 18671.5i | −0.598665 | + | 1.03692i | ||||
\(688\) | −10168.0 | − | 17611.5i | −0.563447 | − | 0.975918i | ||||
\(689\) | −1674.00 | + | 2899.45i | −0.0925607 | + | 0.160320i | ||||
\(690\) | 1150.00 | + | 1991.86i | 0.0634489 | + | 0.109897i | ||||
\(691\) | −14812.0 | −0.815449 | −0.407724 | − | 0.913105i | \(-0.633678\pi\) | ||||
−0.407724 | + | 0.913105i | \(0.633678\pi\) | |||||||
\(692\) | −1386.00 | −0.0761385 | ||||||||
\(693\) | 198.000 | + | 342.946i | 0.0108534 | + | 0.0187986i | ||||
\(694\) | −6279.50 | − | 10876.4i | −0.343468 | − | 0.594903i | ||||
\(695\) | −4175.00 | −0.227866 | ||||||||
\(696\) | 10050.0 | 0.547334 | ||||||||
\(697\) | −6561.00 | − | 11364.0i | −0.356550 | − | 0.617563i | ||||
\(698\) | 3668.00 | − | 6353.16i | 0.198905 | − | 0.344514i | ||||
\(699\) | −10572.5 | − | 18312.1i | −0.572087 | − | 0.990883i | ||||
\(700\) | 1925.00 | − | 3334.20i | 0.103940 | − | 0.180030i | ||||
\(701\) | −16593.0 | + | 28739.9i | −0.894021 | + | 1.54849i | −0.0590102 | + | 0.998257i | \(0.518794\pi\) |
−0.835011 | + | 0.550233i | \(0.814539\pi\) | |||||||
\(702\) | −7830.00 | −0.420975 | ||||||||
\(703\) | 15694.0 | + | 11649.8i | 0.841978 | + | 0.625006i | ||||
\(704\) | −1503.00 | −0.0804637 | ||||||||
\(705\) | 6275.00 | − | 10868.6i | 0.335220 | − | 0.580618i | ||||
\(706\) | 5225.50 | − | 9050.83i | 0.278561 | − | 0.482482i | ||||
\(707\) | 330.000 | + | 571.577i | 0.0175544 | + | 0.0304050i | ||||
\(708\) | −11917.5 | + | 20641.7i | −0.632609 | + | 1.09571i | ||||
\(709\) | −15620.0 | − | 27054.6i | −0.827393 | − | 1.43309i | −0.900077 | − | 0.435731i | \(-0.856490\pi\) |
0.0726842 | − | 0.997355i | \(-0.476843\pi\) | |||||||
\(710\) | 4870.00 | 0.257419 | ||||||||
\(711\) | 1472.00 | 0.0776432 | ||||||||
\(712\) | −5445.00 | − | 9431.02i | −0.286601 | − | 0.496408i | ||||
\(713\) | −11592.0 | − | 20077.9i | −0.608869 | − | 1.05459i | ||||
\(714\) | −5940.00 | −0.311343 | ||||||||
\(715\) | 2430.00 | 0.127100 | ||||||||
\(716\) | −4427.50 | − | 7668.65i | −0.231094 | − | 0.400267i | ||||
\(717\) | −13890.0 | + | 24058.2i | −0.723475 | + | 1.25310i | ||||
\(718\) | 3650.00 | + | 6321.99i | 0.189717 | + | 0.328599i | ||||
\(719\) | −7113.00 | + | 12320.1i | −0.368943 | + | 0.639028i | −0.989401 | − | 0.145212i | \(-0.953614\pi\) |
0.620457 | + | 0.784240i | \(0.286947\pi\) | |||||||
\(720\) | 205.000 | − | 355.070i | 0.0106110 | − | 0.0183787i | ||||
\(721\) | −13244.0 | −0.684095 | ||||||||
\(722\) | 6678.50 | + | 1563.18i | 0.344249 | + | 0.0805753i | ||||
\(723\) | 22095.0 | 1.13654 | ||||||||
\(724\) | −14266.0 | + | 24709.4i | −0.732309 | + | 1.26840i | ||||
\(725\) | 1675.00 | − | 2901.19i | 0.0858041 | − | 0.148617i | ||||
\(726\) | 3125.00 | + | 5412.66i | 0.159752 | + | 0.276698i | ||||
\(727\) | −5188.00 | + | 8985.88i | −0.264666 | + | 0.458415i | −0.967476 | − | 0.252962i | \(-0.918595\pi\) |
0.702810 | + | 0.711378i | \(0.251928\pi\) | |||||||
\(728\) | −8910.00 | − | 15432.6i | −0.453608 | − | 0.785672i | ||||
\(729\) | 20917.0 | 1.06269 | ||||||||
\(730\) | −3475.00 | −0.176186 | ||||||||
\(731\) | 13392.0 | + | 23195.6i | 0.677594 | + | 1.17363i | ||||
\(732\) | 2485.00 | + | 4304.15i | 0.125476 | + | 0.217330i | ||||
\(733\) | −21868.0 | −1.10193 | −0.550964 | − | 0.834529i | \(-0.685740\pi\) | ||||
−0.550964 | + | 0.834529i | \(0.685740\pi\) | |||||||
\(734\) | 632.000 | 0.0317814 | ||||||||
\(735\) | 1762.50 | + | 3052.74i | 0.0884501 | + | 0.153200i | ||||
\(736\) | −7406.00 | + | 12827.6i | −0.370909 | + | 0.642433i | ||||
\(737\) | −247.500 | − | 428.683i | −0.0123701 | − | 0.0214257i | ||||
\(738\) | 243.000 | − | 420.888i | 0.0121205 | − | 0.0209934i | ||||
\(739\) | 10535.5 | − | 18248.0i | 0.524431 | − | 0.908341i | −0.475164 | − | 0.879897i | \(-0.657611\pi\) |
0.999595 | − | 0.0284443i | \(-0.00905532\pi\) | |||||||
\(740\) | 8260.00 | 0.410329 | ||||||||
\(741\) | 17955.0 | + | 13328.1i | 0.890140 | + | 0.660757i | ||||
\(742\) | −1364.00 | −0.0674852 | ||||||||
\(743\) | 7200.00 | − | 12470.8i | 0.355508 | − | 0.615758i | −0.631697 | − | 0.775216i | \(-0.717641\pi\) |
0.987205 | + | 0.159458i | \(0.0509746\pi\) | |||||||
\(744\) | −9450.00 | + | 16367.9i | −0.465664 | + | 0.806553i | ||||
\(745\) | −6840.00 | − | 11847.2i | −0.336373 | − | 0.582616i | ||||
\(746\) | −48.0000 | + | 83.1384i | −0.00235577 | + | 0.00408031i | ||||
\(747\) | −63.0000 | − | 109.119i | −0.00308574 | − | 0.00534466i | ||||
\(748\) | 3402.00 | 0.166296 | ||||||||
\(749\) | 14520.0 | 0.708343 | ||||||||
\(750\) | −312.500 | − | 541.266i | −0.0152145 | − | 0.0263523i | ||||
\(751\) | −17293.0 | − | 29952.4i | −0.840254 | − | 1.45536i | −0.889680 | − | 0.456584i | \(-0.849073\pi\) |
0.0494264 | − | 0.998778i | \(-0.484261\pi\) | |||||||
\(752\) | 20582.0 | 0.998070 | ||||||||
\(753\) | 19785.0 | 0.957511 | ||||||||
\(754\) | −3618.00 | − | 6266.56i | −0.174748 | − | 0.302672i | ||||
\(755\) | 940.000 | − | 1628.13i | 0.0453114 | − | 0.0784816i | ||||
\(756\) | 11165.0 | + | 19338.3i | 0.537126 | + | 0.930329i | ||||
\(757\) | 2839.00 | − | 4917.29i | 0.136308 | − | 0.236093i | −0.789788 | − | 0.613380i | \(-0.789810\pi\) |
0.926096 | + | 0.377287i | \(0.123143\pi\) | |||||||
\(758\) | 5482.00 | − | 9495.10i | 0.262685 | − | 0.454984i | ||||
\(759\) | 4140.00 | 0.197987 | ||||||||
\(760\) | 5700.00 | − | 2468.17i | 0.272054 | − | 0.117803i | ||||
\(761\) | −12243.0 | −0.583191 | −0.291596 | − | 0.956542i | \(-0.594186\pi\) | ||||
−0.291596 | + | 0.956542i | \(0.594186\pi\) | |||||||
\(762\) | −295.000 | + | 510.955i | −0.0140246 | + | 0.0242913i | ||||
\(763\) | 1320.00 | − | 2286.31i | 0.0626307 | − | 0.108480i | ||||
\(764\) | 11522.0 | + | 19956.7i | 0.545617 | + | 0.945036i | ||||
\(765\) | −270.000 | + | 467.654i | −0.0127606 | + | 0.0221020i | ||||
\(766\) | 1009.00 | + | 1747.64i | 0.0475935 | + | 0.0824344i | ||||
\(767\) | 36774.0 | 1.73120 | ||||||||
\(768\) | 595.000 | 0.0279560 | ||||||||
\(769\) | 15625.0 | + | 27063.3i | 0.732707 | + | 1.26909i | 0.955722 | + | 0.294271i | \(0.0950769\pi\) |
−0.223015 | + | 0.974815i | \(0.571590\pi\) | |||||||
\(770\) | 495.000 | + | 857.365i | 0.0231670 | + | 0.0401264i | ||||
\(771\) | 4385.00 | 0.204827 | ||||||||
\(772\) | −13566.0 | −0.632450 | ||||||||
\(773\) | −15021.0 | − | 26017.1i | −0.698923 | − | 1.21057i | −0.968840 | − | 0.247687i | \(-0.920329\pi\) |
0.269917 | − | 0.962884i | \(-0.413004\pi\) | |||||||
\(774\) | −496.000 | + | 859.097i | −0.0230340 | + | 0.0398961i | ||||
\(775\) | 3150.00 | + | 5455.96i | 0.146002 | + | 0.252882i | ||||
\(776\) | 8752.50 | − | 15159.8i | 0.404892 | − | 0.701294i | ||||
\(777\) | −12980.0 | + | 22482.0i | −0.599298 | + | 1.03802i | ||||
\(778\) | −8728.00 | −0.402203 | ||||||||
\(779\) | −18468.0 | + | 7996.88i | −0.849403 | + | 0.367802i | ||||
\(780\) | 9450.00 | 0.433800 | ||||||||
\(781\) | 4383.00 | − | 7591.58i | 0.200814 | − | 0.347821i | ||||
\(782\) | 2484.00 | − | 4302.41i | 0.113590 | − | 0.196744i | ||||
\(783\) | 9715.00 | + | 16826.9i | 0.443405 | + | 0.767999i | ||||
\(784\) | −2890.50 | + | 5006.49i | −0.131674 | + | 0.228065i | ||||
\(785\) | 2480.00 | + | 4295.49i | 0.112758 | + | 0.195303i | ||||
\(786\) | 3335.00 | 0.151343 | ||||||||
\(787\) | −43141.0 | −1.95402 | −0.977008 | − | 0.213203i | \(-0.931611\pi\) | ||||
−0.977008 | + | 0.213203i | \(0.931611\pi\) | |||||||
\(788\) | 15834.0 | + | 27425.3i | 0.715816 | + | 1.23983i | ||||
\(789\) | −6075.00 | − | 10522.2i | −0.274114 | − | 0.474779i | ||||
\(790\) | 3680.00 | 0.165732 | ||||||||
\(791\) | 23298.0 | 1.04726 | ||||||||
\(792\) | 135.000 | + | 233.827i | 0.00605684 | + | 0.0104908i | ||||
\(793\) | 3834.00 | − | 6640.68i | 0.171689 | − | 0.297374i | ||||
\(794\) | 4782.00 | + | 8282.67i | 0.213737 | + | 0.370203i | ||||
\(795\) | 775.000 | − | 1342.34i | 0.0345741 | − | 0.0598841i | ||||
\(796\) | 14987.0 | − | 25958.2i | 0.667337 | − | 1.15586i | ||||
\(797\) | 8008.00 | 0.355907 | 0.177954 | − | 0.984039i | \(-0.443052\pi\) | ||||
0.177954 | + | 0.984039i | \(0.443052\pi\) | |||||||
\(798\) | −1045.00 | + | 9049.97i | −0.0463566 | + | 0.401460i | ||||
\(799\) | −27108.0 | −1.20027 | ||||||||
\(800\) | 2012.50 | − | 3485.75i | 0.0889408 | − | 0.154050i | ||||
\(801\) | 726.000 | − | 1257.47i | 0.0320249 | − | 0.0554688i | ||||
\(802\) | −2933.50 | − | 5080.97i | −0.129159 | − | 0.223710i | ||||
\(803\) | −3127.50 | + | 5416.99i | −0.137443 | + | 0.238059i | ||||
\(804\) | −962.500 | − | 1667.10i | −0.0422198 | − | 0.0731269i | ||||
\(805\) | −10120.0 | −0.443085 | ||||||||
\(806\) | 13608.0 | 0.594692 | ||||||||
\(807\) | 11730.0 | + | 20317.0i | 0.511667 | + | 0.886234i | ||||
\(808\) | 225.000 | + | 389.711i | 0.00979638 | + | 0.0169678i | ||||
\(809\) | 9053.00 | 0.393432 | 0.196716 | − | 0.980461i | \(-0.436972\pi\) | ||||
0.196716 | + | 0.980461i | \(0.436972\pi\) | |||||||
\(810\) | 3355.00 | 0.145534 | ||||||||
\(811\) | 1478.00 | + | 2559.97i | 0.0639946 | + | 0.110842i | 0.896248 | − | 0.443554i | \(-0.146283\pi\) |
−0.832253 | + | 0.554396i | \(0.812949\pi\) | |||||||
\(812\) | −10318.0 | + | 17871.3i | −0.445925 | + | 0.772364i | ||||
\(813\) | −21905.0 | − | 37940.6i | −0.944947 | − | 1.63670i | ||||
\(814\) | −1062.00 | + | 1839.44i | −0.0457286 | + | 0.0792043i | ||||
\(815\) | −7617.50 | + | 13193.9i | −0.327398 | + | 0.567070i | ||||
\(816\) | 11070.0 | 0.474911 | ||||||||
\(817\) | 37696.0 | − | 16322.8i | 1.61422 | − | 0.698977i | ||||
\(818\) | 835.000 | 0.0356908 | ||||||||
\(819\) | 1188.00 | − | 2057.68i | 0.0506863 | − | 0.0877912i | ||||
\(820\) | −4252.50 | + | 7365.55i | −0.181102 | + | 0.313678i | ||||
\(821\) | −9453.00 | − | 16373.1i | −0.401842 | − | 0.696010i | 0.592107 | − | 0.805860i | \(-0.298296\pi\) |
−0.993948 | + | 0.109850i | \(0.964963\pi\) | |||||||
\(822\) | 2627.50 | − | 4550.96i | 0.111490 | − | 0.193106i | ||||
\(823\) | 7375.00 | + | 12773.9i | 0.312365 | + | 0.541032i | 0.978874 | − | 0.204465i | \(-0.0655455\pi\) |
−0.666509 | + | 0.745497i | \(0.732212\pi\) | |||||||
\(824\) | −9030.00 | −0.381766 | ||||||||
\(825\) | −1125.00 | −0.0474757 | ||||||||
\(826\) | 7491.00 | + | 12974.8i | 0.315551 | + | 0.546551i | ||||
\(827\) | −19543.5 | − | 33850.3i | −0.821758 | − | 1.42333i | −0.904372 | − | 0.426745i | \(-0.859660\pi\) |
0.0826135 | − | 0.996582i | \(-0.473673\pi\) | |||||||
\(828\) | −1288.00 | −0.0540593 | ||||||||
\(829\) | 168.000 | 0.00703846 | 0.00351923 | − | 0.999994i | \(-0.498880\pi\) | ||||
0.00351923 | + | 0.999994i | \(0.498880\pi\) | |||||||
\(830\) | −157.500 | − | 272.798i | −0.00658663 | − | 0.0114084i | ||||
\(831\) | 12535.0 | − | 21711.3i | 0.523266 | − | 0.906324i | ||||
\(832\) | 4509.00 | + | 7809.82i | 0.187886 | + | 0.325429i | ||||
\(833\) | 3807.00 | − | 6593.92i | 0.158349 | − | 0.274269i | ||||
\(834\) | 2087.50 | − | 3615.66i | 0.0866717 | − | 0.150120i | ||||
\(835\) | −6520.00 | −0.270220 | ||||||||
\(836\) | 598.500 | − | 5183.16i | 0.0247602 | − | 0.214430i | ||||
\(837\) | −36540.0 | −1.50897 | ||||||||
\(838\) | 378.000 | − | 654.715i | 0.0155821 | − | 0.0269890i | ||||
\(839\) | 15329.0 | − | 26550.6i | 0.630770 | − | 1.09253i | −0.356625 | − | 0.934248i | \(-0.616073\pi\) |
0.987395 | − | 0.158278i | \(-0.0505941\pi\) | |||||||
\(840\) | 4125.00 | + | 7144.71i | 0.169436 | + | 0.293471i | ||||
\(841\) | 3216.50 | − | 5571.14i | 0.131883 | − | 0.228428i | ||||
\(842\) | −1950.00 | − | 3377.50i | −0.0798117 | − | 0.138238i | ||||
\(843\) | 19325.0 | 0.789547 | ||||||||
\(844\) | 13580.0 | 0.553842 | ||||||||
\(845\) | −1797.50 | − | 3113.36i | −0.0731786 | − | 0.126749i | ||||
\(846\) | −502.000 | − | 869.490i | −0.0204008 | − | 0.0353353i | ||||
\(847\) | −27500.0 | −1.11560 | ||||||||
\(848\) | 2542.00 | 0.102939 | ||||||||
\(849\) | −1482.50 | − | 2567.77i | −0.0599285 | − | 0.103799i | ||||
\(850\) | −675.000 | + | 1169.13i | −0.0272380 | + | 0.0471776i | ||||
\(851\) | −10856.0 | − | 18803.1i | −0.437296 | − | 0.757419i | ||||
\(852\) | 17045.0 | − | 29522.8i | 0.685390 | − | 1.18713i | ||||
\(853\) | 14909.0 | − | 25823.1i | 0.598446 | − | 1.03654i | −0.394605 | − | 0.918851i | \(-0.629118\pi\) |
0.993051 | − | 0.117688i | \(-0.0375482\pi\) | |||||||
\(854\) | 3124.00 | 0.125177 | ||||||||
\(855\) | 665.000 | + | 493.634i | 0.0265994 | + | 0.0197450i | ||||
\(856\) | 9900.00 | 0.395298 | ||||||||
\(857\) | 16235.5 | − | 28120.7i | 0.647134 | − | 1.12087i | −0.336670 | − | 0.941623i | \(-0.609301\pi\) |
0.983804 | − | 0.179247i | \(-0.0573660\pi\) | |||||||
\(858\) | −1215.00 | + | 2104.44i | −0.0483443 | + | 0.0837348i | ||||
\(859\) | 17910.5 | + | 31021.9i | 0.711407 | + | 1.23219i | 0.964329 | + | 0.264706i | \(0.0852749\pi\) |
−0.252922 | + | 0.967487i | \(0.581392\pi\) | |||||||
\(860\) | 8680.00 | − | 15034.2i | 0.344169 | − | 0.596119i | ||||
\(861\) | −13365.0 | − | 23148.9i | −0.529010 | − | 0.916273i | ||||
\(862\) | −14706.0 | −0.581077 | ||||||||
\(863\) | 39300.0 | 1.55016 | 0.775080 | − | 0.631863i | \(-0.217710\pi\) | ||||
0.775080 | + | 0.631863i | \(0.217710\pi\) | |||||||
\(864\) | 11672.5 | + | 20217.4i | 0.459614 | + | 0.796075i | ||||
\(865\) | −495.000 | − | 857.365i | −0.0194572 | − | 0.0337009i | ||||
\(866\) | −7838.00 | −0.307559 | ||||||||
\(867\) | 9985.00 | 0.391128 | ||||||||
\(868\) | −19404.0 | − | 33608.7i | −0.758773 | − | 1.31423i | ||||
\(869\) | 3312.00 | − | 5736.55i | 0.129289 | − | 0.223935i | ||||
\(870\) | 1675.00 | + | 2901.19i | 0.0652734 | + | 0.113057i | ||||
\(871\) | −1485.00 | + | 2572.10i | −0.0577696 | + | 0.100060i | ||||
\(872\) | 900.000 | − | 1558.85i | 0.0349517 | − | 0.0605380i | ||||
\(873\) | 2334.00 | 0.0904856 | ||||||||
\(874\) | −6118.00 | − | 4541.44i | −0.236779 | − | 0.175762i | ||||
\(875\) | 2750.00 | 0.106248 | ||||||||
\(876\) | −12162.5 | + | 21066.1i | −0.469101 | + | 0.812507i | ||||
\(877\) | −11427.0 | + | 19792.1i | −0.439980 | + | 0.762068i | −0.997687 | − | 0.0679700i | \(-0.978348\pi\) |
0.557707 | + | 0.830038i | \(0.311681\pi\) | |||||||
\(878\) | 8814.00 | + | 15266.3i | 0.338791 | + | 0.586802i | ||||
\(879\) | −14595.0 | + | 25279.3i | −0.560042 | + | 0.970022i | ||||
\(880\) | −922.500 | − | 1597.82i | −0.0353380 | − | 0.0612073i | ||||
\(881\) | 25347.0 | 0.969310 | 0.484655 | − | 0.874705i | \(-0.338945\pi\) | ||||
0.484655 | + | 0.874705i | \(0.338945\pi\) | |||||||
\(882\) | 282.000 | 0.0107658 | ||||||||
\(883\) | 7434.50 | + | 12876.9i | 0.283342 | + | 0.490762i | 0.972206 | − | 0.234128i | \(-0.0752236\pi\) |
−0.688864 | + | 0.724891i | \(0.741890\pi\) | |||||||
\(884\) | −10206.0 | − | 17677.3i | −0.388309 | − | 0.672570i | ||||
\(885\) | −17025.0 | −0.646654 | ||||||||
\(886\) | −9267.00 | −0.351389 | ||||||||
\(887\) | 4026.00 | + | 6973.24i | 0.152401 | + | 0.263967i | 0.932110 | − | 0.362176i | \(-0.117966\pi\) |
−0.779709 | + | 0.626143i | \(0.784633\pi\) | |||||||
\(888\) | −8850.00 | + | 15328.6i | −0.334444 | + | 0.579275i | ||||
\(889\) | −1298.00 | − | 2248.20i | −0.0489691 | − | 0.0848170i | ||||
\(890\) | 1815.00 | − | 3143.67i | 0.0683584 | − | 0.118400i | ||||
\(891\) | 3019.50 | − | 5229.93i | 0.113532 | − | 0.196643i | ||||
\(892\) | 29092.0 | 1.09201 | ||||||||
\(893\) | −4769.00 | + | 41300.8i | −0.178711 | + | 1.54768i | ||||
\(894\) | 13680.0 | 0.511776 | ||||||||
\(895\) | 3162.50 | − | 5477.61i | 0.118113 | − | 0.204577i | ||||
\(896\) | −16005.0 | + | 27721.5i | −0.596752 | + | 1.03360i | ||||
\(897\) | −12420.0 | − | 21512.1i | −0.462310 | − | 0.800744i | ||||
\(898\) | −4685.50 | + | 8115.52i | −0.174117 | + | 0.301580i | ||||
\(899\) | −16884.0 | − | 29243.9i | −0.626377 | − | 1.08492i | ||||
\(900\) | 350.000 | 0.0129630 | ||||||||
\(901\) | −3348.00 | −0.123794 | ||||||||
\(902\) | −1093.50 | − | 1894.00i | −0.0403654 | − | 0.0699149i | ||||
\(903\) | 27280.0 | + | 47250.3i | 1.00534 | + | 1.74130i | ||||
\(904\) | 15885.0 | 0.584433 | ||||||||
\(905\) | −20380.0 | −0.748568 | ||||||||
\(906\) | 940.000 | + | 1628.13i | 0.0344695 | + | 0.0597030i | ||||
\(907\) | 2310.50 | − | 4001.90i | 0.0845853 | − | 0.146506i | −0.820629 | − | 0.571461i | \(-0.806377\pi\) |
0.905214 | + | 0.424955i | \(0.139710\pi\) | |||||||
\(908\) | 7325.50 | + | 12688.1i | 0.267737 | + | 0.463734i | ||||
\(909\) | −30.0000 | + | 51.9615i | −0.00109465 | + | 0.00189599i | ||||
\(910\) | 2970.00 | − | 5144.19i | 0.108192 | − | 0.187394i | ||||
\(911\) | −41004.0 | −1.49124 | −0.745622 | − | 0.666369i | \(-0.767847\pi\) | ||||
−0.745622 | + | 0.666369i | \(0.767847\pi\) | |||||||
\(912\) | 1947.50 | − | 16865.8i | 0.0707107 | − | 0.612373i | ||||
\(913\) | −567.000 | −0.0205531 | ||||||||
\(914\) | −2053.50 | + | 3556.77i | −0.0743148 | + | 0.128717i | ||||
\(915\) | −1775.00 | + | 3074.39i | −0.0641308 | + | 0.111078i | ||||
\(916\) | −15092.0 | − | 26140.1i | −0.544382 | − | 0.942897i | ||||
\(917\) | −7337.00 | + | 12708.1i | −0.264219 | + | 0.457641i | ||||
\(918\) | −3915.00 | − | 6780.98i | −0.140756 | − | 0.243797i | ||||
\(919\) | −45946.0 | −1.64920 | −0.824602 | − | 0.565713i | \(-0.808601\pi\) | ||||
−0.824602 | + | 0.565713i | \(0.808601\pi\) | |||||||
\(920\) | −6900.00 | −0.247268 | ||||||||
\(921\) | 617.500 | + | 1069.54i | 0.0220926 | + | 0.0382656i | ||||
\(922\) | −2715.00 | − | 4702.52i | −0.0969781 | − | 0.167971i | ||||
\(923\) | −52596.0 | −1.87564 | ||||||||
\(924\) | 6930.00 | 0.246732 | ||||||||
\(925\) | 2950.00 | + | 5109.55i | 0.104860 | + | 0.181623i | ||||
\(926\) | −7111.00 | + | 12316.6i | −0.252356 | + | 0.437094i | ||||
\(927\) | −602.000 | − | 1042.69i | −0.0213293 | − | 0.0369435i | ||||
\(928\) | −10787.0 | + | 18683.6i | −0.381574 | + | 0.660905i | ||||
\(929\) | 23305.5 | − | 40366.3i | 0.823066 | − | 1.42559i | −0.0803218 | − | 0.996769i | \(-0.525595\pi\) |
0.903388 | − | 0.428824i | \(-0.141072\pi\) | |||||||
\(930\) | −6300.00 | −0.222135 | ||||||||
\(931\) | −9376.50 | − | 6960.25i | −0.330078 | − | 0.245019i | ||||
\(932\) | 29603.0 | 1.04043 | ||||||||
\(933\) | −25550.0 | + | 44253.9i | −0.896537 | + | 1.55285i | ||||
\(934\) | −1942.50 | + | 3364.51i | −0.0680520 | + | 0.117869i | ||||
\(935\) | 1215.00 | + | 2104.44i | 0.0424971 | + | 0.0736071i | ||||
\(936\) | 810.000 | − | 1402.96i | 0.0282860 | − | 0.0489928i | ||||
\(937\) | 16678.5 | + | 28888.0i | 0.581497 | + | 1.00718i | 0.995302 | + | 0.0968171i | \(0.0308662\pi\) |
−0.413805 | + | 0.910366i | \(0.635800\pi\) | |||||||
\(938\) | −1210.00 | −0.0421193 | ||||||||
\(939\) | 39175.0 | 1.36148 | ||||||||
\(940\) | 8785.00 | + | 15216.1i | 0.304825 | + | 0.527972i | ||||
\(941\) | 20945.0 | + | 36277.8i | 0.725598 | + | 1.25677i | 0.958728 | + | 0.284327i | \(0.0917700\pi\) |
−0.233130 | + | 0.972446i | \(0.574897\pi\) | |||||||
\(942\) | −4960.00 | −0.171556 | ||||||||
\(943\) | 22356.0 | 0.772016 | ||||||||
\(944\) | −13960.5 | − | 24180.3i | −0.481330 | − | 0.833688i | ||||
\(945\) | −7975.00 | + | 13813.1i | −0.274526 | + | 0.475492i | ||||
\(946\) | 2232.00 | + | 3865.94i | 0.0767110 | + | 0.132867i | ||||
\(947\) | 5982.00 | − | 10361.1i | 0.205268 | − | 0.355535i | −0.744950 | − | 0.667120i | \(-0.767527\pi\) |
0.950218 | + | 0.311586i | \(0.100860\pi\) | |||||||
\(948\) | 12880.0 | − | 22308.8i | 0.441269 | − | 0.764300i | ||||
\(949\) | 37530.0 | 1.28375 | ||||||||
\(950\) | 1662.50 | + | 1234.09i | 0.0567775 | + | 0.0421464i | ||||
\(951\) | 18870.0 | 0.643430 | ||||||||
\(952\) | 8910.00 | − | 15432.6i | 0.303335 | − | 0.525391i | ||||
\(953\) | −5536.50 | + | 9589.50i | −0.188190 | + | 0.325954i | −0.944647 | − | 0.328089i | \(-0.893595\pi\) |
0.756457 | + | 0.654043i | \(0.226929\pi\) | |||||||
\(954\) | −62.0000 | − | 107.387i | −0.00210411 | − | 0.00364443i | ||||
\(955\) | −8230.00 | + | 14254.8i | −0.278865 | + | 0.483009i | ||||
\(956\) | −19446.0 | − | 33681.5i | −0.657875 | − | 1.13947i | ||||
\(957\) | 6030.00 | 0.203680 | ||||||||
\(958\) | −4380.00 | −0.147715 | ||||||||
\(959\) | 11561.0 | + | 20024.2i | 0.389285 | + | 0.674261i | ||||
\(960\) | −2087.50 | − | 3615.66i | −0.0701810 | − | 0.121557i | ||||
\(961\) | 33713.0 | 1.13165 | ||||||||
\(962\) | 12744.0 | 0.427113 | ||||||||
\(963\) | 660.000 | + | 1143.15i | 0.0220854 | + | 0.0382530i | ||||
\(964\) | −15466.5 | + | 26788.8i | −0.516745 | + | 0.895029i | ||||
\(965\) | −4845.00 | − | 8391.79i | −0.161623 | − | 0.279939i | ||||
\(966\) | 5060.00 | − | 8764.18i | 0.168533 | − | 0.291908i | ||||
\(967\) | 7123.00 | − | 12337.4i | 0.236877 | − | 0.410283i | −0.722939 | − | 0.690911i | \(-0.757209\pi\) |
0.959817 | + | 0.280628i | \(0.0905428\pi\) | |||||||
\(968\) | −18750.0 | −0.622570 | ||||||||
\(969\) | −2565.00 | + | 22213.6i | −0.0850358 | + | 0.736431i | ||||
\(970\) | 5835.00 | 0.193145 | ||||||||
\(971\) | −15705.5 | + | 27202.7i | −0.519066 | + | 0.899049i | 0.480688 | + | 0.876892i | \(0.340387\pi\) |
−0.999754 | + | 0.0221577i | \(0.992946\pi\) | |||||||
\(972\) | −1960.00 | + | 3394.82i | −0.0646780 | + | 0.112026i | ||||
\(973\) | 9185.00 | + | 15908.9i | 0.302629 | + | 0.524168i | ||||
\(974\) | −9428.00 | + | 16329.8i | −0.310157 | + | 0.537207i | ||||
\(975\) | 3375.00 | + | 5845.67i | 0.110858 | + | 0.192012i | ||||
\(976\) | −5822.00 | −0.190940 | ||||||||
\(977\) | 18657.0 | 0.610942 | 0.305471 | − | 0.952201i | \(-0.401186\pi\) | ||||
0.305471 | + | 0.952201i | \(0.401186\pi\) | |||||||
\(978\) | −7617.50 | − | 13193.9i | −0.249060 | − | 0.431385i | ||||
\(979\) | −3267.00 | − | 5658.61i | −0.106653 | − | 0.184729i | ||||
\(980\) | −4935.00 | −0.160860 | ||||||||
\(981\) | 240.000 | 0.00781102 | ||||||||
\(982\) | 794.000 | + | 1375.25i | 0.0258020 | + | 0.0446904i | ||||
\(983\) | 28706.0 | − | 49720.3i | 0.931413 | − | 1.61326i | 0.150505 | − | 0.988609i | \(-0.451910\pi\) |
0.780908 | − | 0.624646i | \(-0.214757\pi\) | |||||||
\(984\) | −9112.50 | − | 15783.3i | −0.295219 | − | 0.511335i | ||||
\(985\) | −11310.0 | + | 19589.5i | −0.365854 | + | 0.633678i | ||||
\(986\) | 3618.00 | − | 6266.56i | 0.116857 | − | 0.202402i | ||||
\(987\) | −55220.0 | −1.78082 | ||||||||
\(988\) | −28728.0 | + | 12439.6i | −0.925060 | + | 0.400563i | ||||
\(989\) | −45632.0 | −1.46715 | ||||||||
\(990\) | −45.0000 | + | 77.9423i | −0.00144464 | + | 0.00250219i | ||||
\(991\) | −1312.00 | + | 2272.45i | −0.0420556 | + | 0.0728424i | −0.886287 | − | 0.463136i | \(-0.846724\pi\) |
0.844231 | + | 0.535979i | \(0.180057\pi\) | |||||||
\(992\) | −20286.0 | − | 35136.4i | −0.649275 | − | 1.12458i | ||||
\(993\) | −12.5000 | + | 21.6506i | −0.000399472 | + | 0.000691905i | ||||
\(994\) | −10714.0 | − | 18557.2i | −0.341879 | − | 0.592151i | ||||
\(995\) | 21410.0 | 0.682153 | ||||||||
\(996\) | −2205.00 | −0.0701487 | ||||||||
\(997\) | 6329.00 | + | 10962.1i | 0.201045 | + | 0.348219i | 0.948865 | − | 0.315681i | \(-0.102233\pi\) |
−0.747821 | + | 0.663901i | \(0.768900\pi\) | |||||||
\(998\) | 5578.50 | + | 9662.25i | 0.176938 | + | 0.306466i | ||||
\(999\) | −34220.0 | −1.08376 |
(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 | 95.4.e.a.11.1 | ✓ | 2 | |
19.7 | even | 3 | inner | 95.4.e.a.26.1 | yes | 2 | |
19.8 | odd | 6 | 1805.4.a.g.1.1 | 1 | |||
19.11 | even | 3 | 1805.4.a.e.1.1 | 1 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.4.e.a.11.1 | ✓ | 2 | 1.1 | even | 1 | trivial | |
95.4.e.a.26.1 | yes | 2 | 19.7 | even | 3 | inner | |
1805.4.a.e.1.1 | 1 | 19.11 | even | 3 | |||
1805.4.a.g.1.1 | 1 | 19.8 | odd | 6 |