Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,3,Mod(39,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.39");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.b (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: | \(2.07085000914\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - 2 x^{13} + x^{12} + 14 x^{11} - 42 x^{10} + 28 x^{9} + 132 x^{8} - 440 x^{7} + 528 x^{6} + 448 x^{5} - 2688 x^{4} + 3584 x^{3} + 1024 x^{2} - 8192 x + 16384 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{12} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 39.12 | ||
Root | \(1.57398 - 1.23393i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 76.39 |
Dual form | 76.3.b.b.39.11 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.57398 | + | 1.23393i | 0.786989 | + | 0.616967i | ||||
\(3\) | − | 2.90118i | − | 0.967060i | −0.875328 | − | 0.483530i | \(-0.839354\pi\) | ||
0.875328 | − | 0.483530i | \(-0.160646\pi\) | |||||||
\(4\) | 0.954817 | + | 3.88437i | 0.238704 | + | 0.971092i | ||||
\(5\) | 3.66290 | 0.732580 | 0.366290 | − | 0.930501i | \(-0.380628\pi\) | ||||
0.366290 | + | 0.930501i | \(0.380628\pi\) | |||||||
\(6\) | 3.57986 | − | 4.56639i | 0.596644 | − | 0.761065i | ||||
\(7\) | − | 1.93414i | − | 0.276306i | −0.990411 | − | 0.138153i | \(-0.955883\pi\) | ||
0.990411 | − | 0.138153i | \(-0.0441166\pi\) | |||||||
\(8\) | −3.29019 | + | 7.29209i | −0.411274 | + | 0.911512i | ||||
\(9\) | 0.583162 | 0.0647958 | ||||||||
\(10\) | 5.76533 | + | 4.51977i | 0.576533 | + | 0.451977i | ||||
\(11\) | − | 0.752428i | − | 0.0684025i | −0.999415 | − | 0.0342013i | \(-0.989111\pi\) | ||
0.999415 | − | 0.0342013i | \(-0.0108887\pi\) | |||||||
\(12\) | 11.2692 | − | 2.77009i | 0.939104 | − | 0.230841i | ||||
\(13\) | −13.0118 | −1.00091 | −0.500453 | − | 0.865763i | \(-0.666833\pi\) | ||||
−0.500453 | + | 0.865763i | \(0.666833\pi\) | |||||||
\(14\) | 2.38660 | − | 3.04430i | 0.170472 | − | 0.217450i | ||||
\(15\) | − | 10.6267i | − | 0.708449i | ||||||
\(16\) | −14.1766 | + | 7.41772i | −0.886041 | + | 0.463608i | ||||
\(17\) | −23.9304 | −1.40767 | −0.703836 | − | 0.710363i | \(-0.748531\pi\) | ||||
−0.703836 | + | 0.710363i | \(0.748531\pi\) | |||||||
\(18\) | 0.917885 | + | 0.719584i | 0.0509936 | + | 0.0399769i | ||||
\(19\) | 4.35890i | 0.229416i | ||||||||
\(20\) | 3.49740 | + | 14.2281i | 0.174870 | + | 0.711403i | ||||
\(21\) | −5.61130 | −0.267205 | ||||||||
\(22\) | 0.928446 | − | 1.18431i | 0.0422021 | − | 0.0538321i | ||||
\(23\) | 6.26712i | 0.272483i | 0.990676 | + | 0.136242i | \(0.0435024\pi\) | ||||
−0.990676 | + | 0.136242i | \(0.956498\pi\) | |||||||
\(24\) | 21.1557 | + | 9.54543i | 0.881486 | + | 0.397726i | ||||
\(25\) | −11.5832 | −0.463326 | ||||||||
\(26\) | −20.4803 | − | 16.0557i | −0.787703 | − | 0.617526i | ||||
\(27\) | − | 27.8025i | − | 1.02972i | ||||||
\(28\) | 7.51293 | − | 1.84675i | 0.268319 | − | 0.0659554i | ||||
\(29\) | 33.1165 | 1.14195 | 0.570974 | − | 0.820968i | \(-0.306566\pi\) | ||||
0.570974 | + | 0.820968i | \(0.306566\pi\) | |||||||
\(30\) | 13.1127 | − | 16.7262i | 0.437089 | − | 0.557541i | ||||
\(31\) | − | 17.5328i | − | 0.565574i | −0.959183 | − | 0.282787i | \(-0.908741\pi\) | ||
0.959183 | − | 0.282787i | \(-0.0912589\pi\) | |||||||
\(32\) | −31.4667 | − | 5.81771i | −0.983335 | − | 0.181803i | ||||
\(33\) | −2.18293 | −0.0661493 | ||||||||
\(34\) | −37.6660 | − | 29.5285i | −1.10782 | − | 0.868487i | ||||
\(35\) | − | 7.08457i | − | 0.202416i | ||||||
\(36\) | 0.556813 | + | 2.26522i | 0.0154670 | + | 0.0629227i | ||||
\(37\) | 41.5073 | 1.12182 | 0.560910 | − | 0.827877i | \(-0.310451\pi\) | ||||
0.560910 | + | 0.827877i | \(0.310451\pi\) | |||||||
\(38\) | −5.37859 | + | 6.86081i | −0.141542 | + | 0.180548i | ||||
\(39\) | 37.7495i | 0.967937i | ||||||||
\(40\) | −12.0516 | + | 26.7102i | −0.301291 | + | 0.667755i | ||||
\(41\) | −5.51661 | −0.134551 | −0.0672757 | − | 0.997734i | \(-0.521431\pi\) | ||||
−0.0672757 | + | 0.997734i | \(0.521431\pi\) | |||||||
\(42\) | −8.83206 | − | 6.92396i | −0.210287 | − | 0.164856i | ||||
\(43\) | 84.5402i | 1.96605i | 0.183468 | + | 0.983026i | \(0.441267\pi\) | ||||
−0.183468 | + | 0.983026i | \(0.558733\pi\) | |||||||
\(44\) | 2.92271 | − | 0.718431i | 0.0664252 | − | 0.0163280i | ||||
\(45\) | 2.13607 | 0.0474681 | ||||||||
\(46\) | −7.73320 | + | 9.86431i | −0.168113 | + | 0.214441i | ||||
\(47\) | − | 18.3582i | − | 0.390599i | −0.980744 | − | 0.195300i | \(-0.937432\pi\) | ||
0.980744 | − | 0.195300i | \(-0.0625679\pi\) | |||||||
\(48\) | 21.5201 | + | 41.1290i | 0.448336 | + | 0.856854i | ||||
\(49\) | 45.2591 | 0.923655 | ||||||||
\(50\) | −18.2316 | − | 14.2929i | −0.364633 | − | 0.285857i | ||||
\(51\) | 69.4264i | 1.36130i | ||||||||
\(52\) | −12.4239 | − | 50.5426i | −0.238921 | − | 0.971973i | ||||
\(53\) | −41.2010 | −0.777377 | −0.388688 | − | 0.921369i | \(-0.627072\pi\) | ||||
−0.388688 | + | 0.921369i | \(0.627072\pi\) | |||||||
\(54\) | 34.3064 | − | 43.7605i | 0.635304 | − | 0.810379i | ||||
\(55\) | − | 2.75607i | − | 0.0501103i | ||||||
\(56\) | 14.1040 | + | 6.36370i | 0.251856 | + | 0.113638i | ||||
\(57\) | 12.6459 | 0.221859 | ||||||||
\(58\) | 52.1246 | + | 40.8635i | 0.898701 | + | 0.704544i | ||||
\(59\) | − | 69.5279i | − | 1.17844i | −0.807973 | − | 0.589219i | \(-0.799435\pi\) | ||
0.807973 | − | 0.589219i | \(-0.200565\pi\) | |||||||
\(60\) | 41.2781 | − | 10.1466i | 0.687969 | − | 0.169110i | ||||
\(61\) | 87.6461 | 1.43682 | 0.718411 | − | 0.695619i | \(-0.244870\pi\) | ||||
0.718411 | + | 0.695619i | \(0.244870\pi\) | |||||||
\(62\) | 21.6343 | − | 27.5962i | 0.348940 | − | 0.445100i | ||||
\(63\) | − | 1.12792i | − | 0.0179035i | ||||||
\(64\) | −42.3493 | − | 47.9848i | −0.661707 | − | 0.749762i | ||||
\(65\) | −47.6609 | −0.733244 | ||||||||
\(66\) | −3.43588 | − | 2.69359i | −0.0520588 | − | 0.0408119i | ||||
\(67\) | 105.121i | 1.56897i | 0.620145 | + | 0.784487i | \(0.287074\pi\) | ||||
−0.620145 | + | 0.784487i | \(0.712926\pi\) | |||||||
\(68\) | −22.8492 | − | 92.9546i | −0.336017 | − | 1.36698i | ||||
\(69\) | 18.1820 | 0.263508 | ||||||||
\(70\) | 8.74189 | − | 11.1510i | 0.124884 | − | 0.159300i | ||||
\(71\) | − | 74.9540i | − | 1.05569i | −0.849341 | − | 0.527845i | \(-0.823000\pi\) | ||
0.849341 | − | 0.527845i | \(-0.177000\pi\) | |||||||
\(72\) | −1.91872 | + | 4.25248i | −0.0266488 | + | 0.0590622i | ||||
\(73\) | 48.7353 | 0.667607 | 0.333803 | − | 0.942643i | \(-0.391668\pi\) | ||||
0.333803 | + | 0.942643i | \(0.391668\pi\) | |||||||
\(74\) | 65.3316 | + | 51.2173i | 0.882860 | + | 0.692125i | ||||
\(75\) | 33.6048i | 0.448064i | ||||||||
\(76\) | −16.9316 | + | 4.16195i | −0.222784 | + | 0.0547625i | ||||
\(77\) | −1.45530 | −0.0189000 | ||||||||
\(78\) | −46.5804 | + | 59.4169i | −0.597185 | + | 0.761756i | ||||
\(79\) | − | 95.9473i | − | 1.21452i | −0.794502 | − | 0.607261i | \(-0.792268\pi\) | ||
0.794502 | − | 0.607261i | \(-0.207732\pi\) | |||||||
\(80\) | −51.9277 | + | 27.1704i | −0.649096 | + | 0.339630i | ||||
\(81\) | −75.4115 | −0.931006 | ||||||||
\(82\) | −8.68302 | − | 6.80713i | −0.105890 | − | 0.0830137i | ||||
\(83\) | 65.8722i | 0.793641i | 0.917896 | + | 0.396821i | \(0.129886\pi\) | ||||
−0.917896 | + | 0.396821i | \(0.870114\pi\) | |||||||
\(84\) | −5.35776 | − | 21.7963i | −0.0637828 | − | 0.259480i | ||||
\(85\) | −87.6548 | −1.03123 | ||||||||
\(86\) | −104.317 | + | 133.064i | −1.21299 | + | 1.54726i | ||||
\(87\) | − | 96.0768i | − | 1.10433i | ||||||
\(88\) | 5.48677 | + | 2.47563i | 0.0623497 | + | 0.0281322i | ||||
\(89\) | 3.38934 | 0.0380825 | 0.0190412 | − | 0.999819i | \(-0.493939\pi\) | ||||
0.0190412 | + | 0.999819i | \(0.493939\pi\) | |||||||
\(90\) | 3.36212 | + | 2.63576i | 0.0373569 | + | 0.0292863i | ||||
\(91\) | 25.1667i | 0.276557i | ||||||||
\(92\) | −24.3438 | + | 5.98395i | −0.264606 | + | 0.0650429i | ||||
\(93\) | −50.8657 | −0.546943 | ||||||||
\(94\) | 22.6528 | − | 28.8954i | 0.240987 | − | 0.307397i | ||||
\(95\) | 15.9662i | 0.168065i | ||||||||
\(96\) | −16.8782 | + | 91.2906i | −0.175815 | + | 0.950943i | ||||
\(97\) | −23.5177 | −0.242451 | −0.121225 | − | 0.992625i | \(-0.538682\pi\) | ||||
−0.121225 | + | 0.992625i | \(0.538682\pi\) | |||||||
\(98\) | 71.2368 | + | 55.8467i | 0.726906 | + | 0.569864i | ||||
\(99\) | − | 0.438788i | − | 0.00443220i | ||||||
\(100\) | −11.0598 | − | 44.9933i | −0.110598 | − | 0.449933i | ||||
\(101\) | −153.325 | −1.51807 | −0.759035 | − | 0.651050i | \(-0.774329\pi\) | ||||
−0.759035 | + | 0.651050i | \(0.774329\pi\) | |||||||
\(102\) | −85.6676 | + | 109.276i | −0.839878 | + | 1.07133i | ||||
\(103\) | − | 114.566i | − | 1.11229i | −0.831084 | − | 0.556147i | \(-0.812279\pi\) | ||
0.831084 | − | 0.556147i | \(-0.187721\pi\) | |||||||
\(104\) | 42.8113 | − | 94.8832i | 0.411647 | − | 0.912338i | ||||
\(105\) | −20.5536 | −0.195749 | ||||||||
\(106\) | −64.8494 | − | 50.8392i | −0.611787 | − | 0.479616i | ||||
\(107\) | − | 161.991i | − | 1.51393i | −0.653454 | − | 0.756966i | \(-0.726681\pi\) | ||
0.653454 | − | 0.756966i | \(-0.273319\pi\) | |||||||
\(108\) | 107.995 | − | 26.5463i | 0.999954 | − | 0.245799i | ||||
\(109\) | 120.924 | 1.10939 | 0.554696 | − | 0.832053i | \(-0.312834\pi\) | ||||
0.554696 | + | 0.832053i | \(0.312834\pi\) | |||||||
\(110\) | 3.40080 | − | 4.33799i | 0.0309164 | − | 0.0394363i | ||||
\(111\) | − | 120.420i | − | 1.08487i | ||||||
\(112\) | 14.3469 | + | 27.4197i | 0.128098 | + | 0.244818i | ||||
\(113\) | −91.1817 | −0.806918 | −0.403459 | − | 0.914998i | \(-0.632192\pi\) | ||||
−0.403459 | + | 0.914998i | \(0.632192\pi\) | |||||||
\(114\) | 19.9044 | + | 15.6043i | 0.174600 | + | 0.136879i | ||||
\(115\) | 22.9558i | 0.199616i | ||||||||
\(116\) | 31.6202 | + | 128.637i | 0.272588 | + | 1.10894i | ||||
\(117\) | −7.58799 | −0.0648546 | ||||||||
\(118\) | 85.7928 | − | 109.435i | 0.727057 | − | 0.927418i | ||||
\(119\) | 46.2849i | 0.388948i | ||||||||
\(120\) | 77.4911 | + | 34.9640i | 0.645759 | + | 0.291366i | ||||
\(121\) | 120.434 | 0.995321 | ||||||||
\(122\) | 137.953 | + | 108.149i | 1.13076 | + | 0.886471i | ||||
\(123\) | 16.0047i | 0.130119i | ||||||||
\(124\) | 68.1038 | − | 16.7406i | 0.549224 | − | 0.135005i | ||||
\(125\) | −134.000 | −1.07200 | ||||||||
\(126\) | 1.39178 | − | 1.77532i | 0.0110459 | − | 0.0140899i | ||||
\(127\) | 191.974i | 1.51160i | 0.654800 | + | 0.755802i | \(0.272753\pi\) | ||||
−0.654800 | + | 0.755802i | \(0.727247\pi\) | |||||||
\(128\) | −7.44683 | − | 127.783i | −0.0581783 | − | 0.998306i | ||||
\(129\) | 245.266 | 1.90129 | ||||||||
\(130\) | −75.0172 | − | 58.8104i | −0.577055 | − | 0.452387i | ||||
\(131\) | 92.3292i | 0.704803i | 0.935849 | + | 0.352401i | \(0.114635\pi\) | ||||
−0.935849 | + | 0.352401i | \(0.885365\pi\) | |||||||
\(132\) | −2.08430 | − | 8.47930i | −0.0157901 | − | 0.0642371i | ||||
\(133\) | 8.43073 | 0.0633890 | ||||||||
\(134\) | −129.713 | + | 165.459i | −0.968005 | + | 1.23477i | ||||
\(135\) | − | 101.838i | − | 0.754353i | ||||||
\(136\) | 78.7357 | − | 174.503i | 0.578939 | − | 1.28311i | ||||
\(137\) | −2.46732 | −0.0180097 | −0.00900483 | − | 0.999959i | \(-0.502866\pi\) | ||||
−0.00900483 | + | 0.999959i | \(0.502866\pi\) | |||||||
\(138\) | 28.6181 | + | 22.4354i | 0.207378 | + | 0.162575i | ||||
\(139\) | 245.321i | 1.76490i | 0.470409 | + | 0.882448i | \(0.344106\pi\) | ||||
−0.470409 | + | 0.882448i | \(0.655894\pi\) | |||||||
\(140\) | 27.5191 | − | 6.76447i | 0.196565 | − | 0.0483176i | ||||
\(141\) | −53.2603 | −0.377733 | ||||||||
\(142\) | 92.4883 | − | 117.976i | 0.651326 | − | 0.830817i | ||||
\(143\) | 9.79043i | 0.0684646i | ||||||||
\(144\) | −8.26729 | + | 4.32574i | −0.0574117 | + | 0.0300398i | ||||
\(145\) | 121.302 | 0.836568 | ||||||||
\(146\) | 76.7083 | + | 60.1361i | 0.525399 | + | 0.411891i | ||||
\(147\) | − | 131.305i | − | 0.893229i | ||||||
\(148\) | 39.6319 | + | 161.230i | 0.267783 | + | 1.08939i | ||||
\(149\) | 52.3645 | 0.351439 | 0.175720 | − | 0.984440i | \(-0.443775\pi\) | ||||
0.175720 | + | 0.984440i | \(0.443775\pi\) | |||||||
\(150\) | −41.4661 | + | 52.8933i | −0.276441 | + | 0.352622i | ||||
\(151\) | − | 25.3459i | − | 0.167853i | −0.996472 | − | 0.0839267i | \(-0.973254\pi\) | ||
0.996472 | − | 0.0839267i | \(-0.0267461\pi\) | |||||||
\(152\) | −31.7855 | − | 14.3416i | −0.209115 | − | 0.0943527i | ||||
\(153\) | −13.9553 | −0.0912113 | ||||||||
\(154\) | −2.29062 | − | 1.79575i | −0.0148741 | − | 0.0116607i | ||||
\(155\) | − | 64.2208i | − | 0.414328i | ||||||
\(156\) | −146.633 | + | 36.0439i | −0.939956 | + | 0.231051i | ||||
\(157\) | −54.8571 | −0.349408 | −0.174704 | − | 0.984621i | \(-0.555897\pi\) | ||||
−0.174704 | + | 0.984621i | \(0.555897\pi\) | |||||||
\(158\) | 118.393 | − | 151.019i | 0.749320 | − | 0.955816i | ||||
\(159\) | 119.531i | 0.751770i | ||||||||
\(160\) | −115.259 | − | 21.3097i | −0.720372 | − | 0.133185i | ||||
\(161\) | 12.1215 | 0.0752888 | ||||||||
\(162\) | −118.696 | − | 93.0527i | −0.732691 | − | 0.574399i | ||||
\(163\) | − | 26.8048i | − | 0.164446i | −0.996614 | − | 0.0822232i | \(-0.973798\pi\) | ||
0.996614 | − | 0.0822232i | \(-0.0262020\pi\) | |||||||
\(164\) | −5.26735 | − | 21.4285i | −0.0321180 | − | 0.130662i | ||||
\(165\) | −7.99585 | −0.0484597 | ||||||||
\(166\) | −81.2819 | + | 103.681i | −0.489650 | + | 0.624587i | ||||
\(167\) | − | 62.7282i | − | 0.375618i | −0.982206 | − | 0.187809i | \(-0.939861\pi\) | ||
0.982206 | − | 0.187809i | \(-0.0601386\pi\) | |||||||
\(168\) | 18.4622 | − | 40.9181i | 0.109894 | − | 0.243560i | ||||
\(169\) | 0.306683 | 0.00181469 | ||||||||
\(170\) | −137.967 | − | 108.160i | −0.811569 | − | 0.636236i | ||||
\(171\) | 2.54195i | 0.0148652i | ||||||||
\(172\) | −328.385 | + | 80.7204i | −1.90922 | + | 0.469305i | ||||
\(173\) | 328.974 | 1.90159 | 0.950793 | − | 0.309827i | \(-0.100271\pi\) | ||||
0.950793 | + | 0.309827i | \(0.100271\pi\) | |||||||
\(174\) | 118.552 | − | 151.223i | 0.681336 | − | 0.869097i | ||||
\(175\) | 22.4035i | 0.128020i | ||||||||
\(176\) | 5.58130 | + | 10.6669i | 0.0317119 | + | 0.0606074i | ||||
\(177\) | −201.713 | −1.13962 | ||||||||
\(178\) | 5.33475 | + | 4.18222i | 0.0299705 | + | 0.0234956i | ||||
\(179\) | 335.845i | 1.87623i | 0.346327 | + | 0.938114i | \(0.387429\pi\) | ||||
−0.346327 | + | 0.938114i | \(0.612571\pi\) | |||||||
\(180\) | 2.03955 | + | 8.29727i | 0.0113308 | + | 0.0460959i | ||||
\(181\) | −58.9250 | −0.325552 | −0.162776 | − | 0.986663i | \(-0.552045\pi\) | ||||
−0.162776 | + | 0.986663i | \(0.552045\pi\) | |||||||
\(182\) | −31.0540 | + | 39.6118i | −0.170626 | + | 0.217647i | ||||
\(183\) | − | 254.277i | − | 1.38949i | ||||||
\(184\) | −45.7004 | − | 20.6200i | −0.248372 | − | 0.112065i | ||||
\(185\) | 152.037 | 0.821823 | ||||||||
\(186\) | −80.0616 | − | 62.7649i | −0.430439 | − | 0.337446i | ||||
\(187\) | 18.0059i | 0.0962883i | ||||||||
\(188\) | 71.3099 | − | 17.5287i | 0.379308 | − | 0.0932377i | ||||
\(189\) | −53.7740 | −0.284518 | ||||||||
\(190\) | −19.7012 | + | 25.1305i | −0.103691 | + | 0.132266i | ||||
\(191\) | − | 98.6857i | − | 0.516679i | −0.966054 | − | 0.258339i | \(-0.916825\pi\) | ||
0.966054 | − | 0.258339i | \(-0.0831753\pi\) | |||||||
\(192\) | −139.212 | + | 122.863i | −0.725065 | + | 0.639910i | ||||
\(193\) | −278.391 | −1.44244 | −0.721220 | − | 0.692706i | \(-0.756418\pi\) | ||||
−0.721220 | + | 0.692706i | \(0.756418\pi\) | |||||||
\(194\) | −37.0164 | − | 29.0193i | −0.190806 | − | 0.149584i | ||||
\(195\) | 138.273i | 0.709091i | ||||||||
\(196\) | 43.2141 | + | 175.803i | 0.220480 | + | 0.896954i | ||||
\(197\) | −47.3378 | −0.240293 | −0.120147 | − | 0.992756i | \(-0.538336\pi\) | ||||
−0.120147 | + | 0.992756i | \(0.538336\pi\) | |||||||
\(198\) | 0.541435 | − | 0.690642i | 0.00273452 | − | 0.00348809i | ||||
\(199\) | 251.355i | 1.26309i | 0.775340 | + | 0.631545i | \(0.217579\pi\) | ||||
−0.775340 | + | 0.631545i | \(0.782421\pi\) | |||||||
\(200\) | 38.1108 | − | 84.4655i | 0.190554 | − | 0.422328i | ||||
\(201\) | 304.975 | 1.51729 | ||||||||
\(202\) | −241.330 | − | 189.193i | −1.19470 | − | 0.936598i | ||||
\(203\) | − | 64.0520i | − | 0.315527i | ||||||
\(204\) | −269.678 | + | 66.2895i | −1.32195 | + | 0.324949i | ||||
\(205\) | −20.2068 | −0.0985697 | ||||||||
\(206\) | 141.367 | − | 180.325i | 0.686249 | − | 0.875364i | ||||
\(207\) | 3.65475i | 0.0176558i | ||||||||
\(208\) | 184.464 | − | 96.5178i | 0.886844 | − | 0.464028i | ||||
\(209\) | 3.27976 | 0.0156926 | ||||||||
\(210\) | −32.3509 | − | 25.3618i | −0.154052 | − | 0.120770i | ||||
\(211\) | 38.9936i | 0.184804i | 0.995722 | + | 0.0924019i | \(0.0294544\pi\) | ||||
−0.995722 | + | 0.0924019i | \(0.970546\pi\) | |||||||
\(212\) | −39.3394 | − | 160.040i | −0.185563 | − | 0.754905i | ||||
\(213\) | −217.455 | −1.02092 | ||||||||
\(214\) | 199.886 | − | 254.970i | 0.934046 | − | 1.19145i | ||||
\(215\) | 309.662i | 1.44029i | ||||||||
\(216\) | 202.738 | + | 91.4754i | 0.938603 | + | 0.423497i | ||||
\(217\) | −33.9109 | −0.156272 | ||||||||
\(218\) | 190.331 | + | 149.212i | 0.873080 | + | 0.684458i | ||||
\(219\) | − | 141.390i | − | 0.645615i | ||||||
\(220\) | 10.7056 | − | 2.63154i | 0.0486618 | − | 0.0119615i | ||||
\(221\) | 311.378 | 1.40895 | ||||||||
\(222\) | 148.590 | − | 189.539i | 0.669326 | − | 0.853778i | ||||
\(223\) | − | 189.466i | − | 0.849622i | −0.905282 | − | 0.424811i | \(-0.860340\pi\) | ||
0.905282 | − | 0.424811i | \(-0.139660\pi\) | |||||||
\(224\) | −11.2523 | + | 60.8611i | −0.0502334 | + | 0.271702i | ||||
\(225\) | −6.75486 | −0.0300216 | ||||||||
\(226\) | −143.518 | − | 112.512i | −0.635035 | − | 0.497841i | ||||
\(227\) | − | 167.625i | − | 0.738438i | −0.929342 | − | 0.369219i | \(-0.879625\pi\) | ||
0.929342 | − | 0.369219i | \(-0.120375\pi\) | |||||||
\(228\) | 12.0746 | + | 49.1215i | 0.0529586 | + | 0.215445i | ||||
\(229\) | 203.355 | 0.888013 | 0.444006 | − | 0.896024i | \(-0.353557\pi\) | ||||
0.444006 | + | 0.896024i | \(0.353557\pi\) | |||||||
\(230\) | −28.3260 | + | 36.1320i | −0.123156 | + | 0.157096i | ||||
\(231\) | 4.22209i | 0.0182775i | ||||||||
\(232\) | −108.960 | + | 241.489i | −0.469653 | + | 1.04090i | ||||
\(233\) | −200.769 | −0.861671 | −0.430836 | − | 0.902430i | \(-0.641781\pi\) | ||||
−0.430836 | + | 0.902430i | \(0.641781\pi\) | |||||||
\(234\) | −11.9433 | − | 9.36307i | −0.0510399 | − | 0.0400131i | ||||
\(235\) | − | 67.2441i | − | 0.286145i | ||||||
\(236\) | 270.072 | − | 66.3864i | 1.14437 | − | 0.281298i | ||||
\(237\) | −278.360 | −1.17452 | ||||||||
\(238\) | −57.1124 | + | 72.8514i | −0.239968 | + | 0.306098i | ||||
\(239\) | 165.710i | 0.693349i | 0.937986 | + | 0.346674i | \(0.112689\pi\) | ||||
−0.937986 | + | 0.346674i | \(0.887311\pi\) | |||||||
\(240\) | 78.8261 | + | 150.651i | 0.328442 | + | 0.627714i | ||||
\(241\) | −396.818 | −1.64655 | −0.823273 | − | 0.567646i | \(-0.807854\pi\) | ||||
−0.823273 | + | 0.567646i | \(0.807854\pi\) | |||||||
\(242\) | 189.560 | + | 148.607i | 0.783307 | + | 0.614080i | ||||
\(243\) | − | 31.4401i | − | 0.129383i | ||||||
\(244\) | 83.6860 | + | 340.450i | 0.342975 | + | 1.39529i | ||||
\(245\) | 165.780 | 0.676651 | ||||||||
\(246\) | −19.7487 | + | 25.1910i | −0.0802792 | + | 0.102402i | ||||
\(247\) | − | 56.7171i | − | 0.229624i | ||||||
\(248\) | 127.851 | + | 57.6862i | 0.515527 | + | 0.232606i | ||||
\(249\) | 191.107 | 0.767498 | ||||||||
\(250\) | −210.914 | − | 165.348i | −0.843655 | − | 0.661391i | ||||
\(251\) | − | 249.643i | − | 0.994592i | −0.867581 | − | 0.497296i | \(-0.834326\pi\) | ||
0.867581 | − | 0.497296i | \(-0.165674\pi\) | |||||||
\(252\) | 4.38126 | − | 1.07696i | 0.0173859 | − | 0.00427364i | ||||
\(253\) | 4.71555 | 0.0186385 | ||||||||
\(254\) | −236.883 | + | 302.163i | −0.932610 | + | 1.18962i | ||||
\(255\) | 254.302i | 0.997263i | ||||||||
\(256\) | 145.955 | − | 210.317i | 0.570136 | − | 0.821550i | ||||
\(257\) | 24.5770 | 0.0956302 | 0.0478151 | − | 0.998856i | \(-0.484774\pi\) | ||||
0.0478151 | + | 0.998856i | \(0.484774\pi\) | |||||||
\(258\) | 386.044 | + | 302.642i | 1.49629 | + | 1.17303i | ||||
\(259\) | − | 80.2811i | − | 0.309966i | ||||||
\(260\) | −45.5074 | − | 185.132i | −0.175029 | − | 0.712048i | ||||
\(261\) | 19.3123 | 0.0739934 | ||||||||
\(262\) | −113.928 | + | 145.324i | −0.434840 | + | 0.554672i | ||||
\(263\) | − | 343.809i | − | 1.30726i | −0.756816 | − | 0.653628i | \(-0.773246\pi\) | ||
0.756816 | − | 0.653628i | \(-0.226754\pi\) | |||||||
\(264\) | 7.18225 | − | 15.9181i | 0.0272055 | − | 0.0602959i | ||||
\(265\) | −150.915 | −0.569491 | ||||||||
\(266\) | 13.2698 | + | 10.4030i | 0.0498864 | + | 0.0391089i | ||||
\(267\) | − | 9.83308i | − | 0.0368280i | ||||||
\(268\) | −408.330 | + | 100.372i | −1.52362 | + | 0.374521i | ||||
\(269\) | 64.7826 | 0.240828 | 0.120414 | − | 0.992724i | \(-0.461578\pi\) | ||||
0.120414 | + | 0.992724i | \(0.461578\pi\) | |||||||
\(270\) | 125.661 | − | 160.290i | 0.465411 | − | 0.593668i | ||||
\(271\) | − | 113.329i | − | 0.418189i | −0.977895 | − | 0.209095i | \(-0.932948\pi\) | ||
0.977895 | − | 0.209095i | \(-0.0670517\pi\) | |||||||
\(272\) | 339.253 | − | 177.509i | 1.24725 | − | 0.652607i | ||||
\(273\) | 73.0130 | 0.267447 | ||||||||
\(274\) | −3.88352 | − | 3.04451i | −0.0141734 | − | 0.0111114i | ||||
\(275\) | 8.71549i | 0.0316927i | ||||||||
\(276\) | 17.3605 | + | 70.6257i | 0.0629004 | + | 0.255890i | ||||
\(277\) | −42.8037 | −0.154526 | −0.0772629 | − | 0.997011i | \(-0.524618\pi\) | ||||
−0.0772629 | + | 0.997011i | \(0.524618\pi\) | |||||||
\(278\) | −302.709 | + | 386.129i | −1.08888 | + | 1.38895i | ||||
\(279\) | − | 10.2245i | − | 0.0366468i | ||||||
\(280\) | 51.6614 | + | 23.3096i | 0.184505 | + | 0.0832486i | ||||
\(281\) | −202.018 | −0.718924 | −0.359462 | − | 0.933160i | \(-0.617040\pi\) | ||||
−0.359462 | + | 0.933160i | \(0.617040\pi\) | |||||||
\(282\) | −83.8306 | − | 65.7197i | −0.297272 | − | 0.233049i | ||||
\(283\) | − | 77.5872i | − | 0.274160i | −0.990560 | − | 0.137080i | \(-0.956228\pi\) | ||
0.990560 | − | 0.137080i | \(-0.0437717\pi\) | |||||||
\(284\) | 291.149 | − | 71.5674i | 1.02517 | − | 0.251998i | ||||
\(285\) | 46.3208 | 0.162529 | ||||||||
\(286\) | −12.0807 | + | 15.4099i | −0.0422404 | + | 0.0538809i | ||||
\(287\) | 10.6699i | 0.0371774i | ||||||||
\(288\) | −18.3502 | − | 3.39267i | −0.0637160 | − | 0.0117801i | ||||
\(289\) | 283.665 | 0.981540 | ||||||||
\(290\) | 190.927 | + | 149.679i | 0.658370 | + | 0.516135i | ||||
\(291\) | 68.2291i | 0.234464i | ||||||||
\(292\) | 46.5333 | + | 189.306i | 0.159360 | + | 0.648308i | ||||
\(293\) | 327.131 | 1.11649 | 0.558243 | − | 0.829677i | \(-0.311476\pi\) | ||||
0.558243 | + | 0.829677i | \(0.311476\pi\) | |||||||
\(294\) | 162.021 | − | 206.671i | 0.551093 | − | 0.702962i | ||||
\(295\) | − | 254.674i | − | 0.863300i | ||||||
\(296\) | −136.567 | + | 302.675i | −0.461375 | + | 1.02255i | ||||
\(297\) | −20.9193 | −0.0704355 | ||||||||
\(298\) | 82.4206 | + | 64.6143i | 0.276579 | + | 0.216826i | ||||
\(299\) | − | 81.5464i | − | 0.272730i | ||||||
\(300\) | −130.534 | + | 32.0864i | −0.435112 | + | 0.106955i | ||||
\(301\) | 163.513 | 0.543232 | ||||||||
\(302\) | 31.2751 | − | 39.8938i | 0.103560 | − | 0.132099i | ||||
\(303\) | 444.823i | 1.46806i | ||||||||
\(304\) | −32.3331 | − | 61.7946i | −0.106359 | − | 0.203272i | ||||
\(305\) | 321.039 | 1.05259 | ||||||||
\(306\) | −21.9654 | − | 17.2199i | −0.0717823 | − | 0.0562743i | ||||
\(307\) | 268.290i | 0.873910i | 0.899483 | + | 0.436955i | \(0.143943\pi\) | ||||
−0.899483 | + | 0.436955i | \(0.856057\pi\) | |||||||
\(308\) | −1.38955 | − | 5.65294i | −0.00451152 | − | 0.0183537i | ||||
\(309\) | −332.377 | −1.07566 | ||||||||
\(310\) | 79.2442 | − | 101.082i | 0.255627 | − | 0.326072i | ||||
\(311\) | − | 449.497i | − | 1.44533i | −0.691199 | − | 0.722664i | \(-0.742917\pi\) | ||
0.691199 | − | 0.722664i | \(-0.257083\pi\) | |||||||
\(312\) | −275.273 | − | 124.203i | −0.882286 | − | 0.398087i | ||||
\(313\) | −283.901 | −0.907032 | −0.453516 | − | 0.891248i | \(-0.649830\pi\) | ||||
−0.453516 | + | 0.891248i | \(0.649830\pi\) | |||||||
\(314\) | −86.3439 | − | 67.6900i | −0.274981 | − | 0.215573i | ||||
\(315\) | − | 4.13146i | − | 0.0131157i | ||||||
\(316\) | 372.695 | − | 91.6121i | 1.17941 | − | 0.289912i | ||||
\(317\) | −553.100 | −1.74480 | −0.872398 | − | 0.488797i | \(-0.837436\pi\) | ||||
−0.872398 | + | 0.488797i | \(0.837436\pi\) | |||||||
\(318\) | −147.494 | + | 188.140i | −0.463817 | + | 0.591635i | ||||
\(319\) | − | 24.9178i | − | 0.0781121i | ||||||
\(320\) | −155.121 | − | 175.763i | −0.484754 | − | 0.549261i | ||||
\(321\) | −469.964 | −1.46406 | ||||||||
\(322\) | 19.0790 | + | 14.9571i | 0.0592515 | + | 0.0464507i | ||||
\(323\) | − | 104.310i | − | 0.322942i | ||||||
\(324\) | −72.0041 | − | 292.926i | −0.222235 | − | 0.904092i | ||||
\(325\) | 150.718 | 0.463747 | ||||||||
\(326\) | 33.0753 | − | 42.1901i | 0.101458 | − | 0.129418i | ||||
\(327\) | − | 350.822i | − | 1.07285i | ||||||
\(328\) | 18.1507 | − | 40.2276i | 0.0553375 | − | 0.122645i | ||||
\(329\) | −35.5073 | −0.107925 | ||||||||
\(330\) | −12.5853 | − | 9.86634i | −0.0381372 | − | 0.0298980i | ||||
\(331\) | − | 280.828i | − | 0.848422i | −0.905563 | − | 0.424211i | \(-0.860552\pi\) | ||
0.905563 | − | 0.424211i | \(-0.139448\pi\) | |||||||
\(332\) | −255.872 | + | 62.8959i | −0.770699 | + | 0.189445i | ||||
\(333\) | 24.2055 | 0.0726892 | ||||||||
\(334\) | 77.4024 | − | 98.7328i | 0.231744 | − | 0.295607i | ||||
\(335\) | 385.049i | 1.14940i | ||||||||
\(336\) | 79.5494 | − | 41.6230i | 0.236754 | − | 0.123878i | ||||
\(337\) | 93.1413 | 0.276384 | 0.138192 | − | 0.990405i | \(-0.455871\pi\) | ||||
0.138192 | + | 0.990405i | \(0.455871\pi\) | |||||||
\(338\) | 0.482713 | + | 0.378427i | 0.00142814 | + | 0.00111961i | ||||
\(339\) | 264.534i | 0.780337i | ||||||||
\(340\) | −83.6942 | − | 340.483i | −0.246159 | − | 1.00142i | ||||
\(341\) | −13.1922 | −0.0386867 | ||||||||
\(342\) | −3.13659 | + | 4.00097i | −0.00917132 | + | 0.0116987i | ||||
\(343\) | − | 182.311i | − | 0.531518i | ||||||
\(344\) | −616.475 | − | 278.153i | −1.79208 | − | 0.808586i | ||||
\(345\) | 66.5989 | 0.193040 | ||||||||
\(346\) | 517.799 | + | 405.932i | 1.49653 | + | 1.17322i | ||||
\(347\) | 221.251i | 0.637612i | 0.947820 | + | 0.318806i | \(0.103282\pi\) | ||||
−0.947820 | + | 0.318806i | \(0.896718\pi\) | |||||||
\(348\) | 373.198 | − | 91.7358i | 1.07241 | − | 0.263609i | ||||
\(349\) | −227.761 | −0.652611 | −0.326306 | − | 0.945264i | \(-0.605804\pi\) | ||||
−0.326306 | + | 0.945264i | \(0.605804\pi\) | |||||||
\(350\) | −27.6444 | + | 35.2626i | −0.0789841 | + | 0.100750i | ||||
\(351\) | 361.760i | 1.03065i | ||||||||
\(352\) | −4.37740 | + | 23.6764i | −0.0124358 | + | 0.0672626i | ||||
\(353\) | −169.824 | −0.481089 | −0.240545 | − | 0.970638i | \(-0.577326\pi\) | ||||
−0.240545 | + | 0.970638i | \(0.577326\pi\) | |||||||
\(354\) | −317.492 | − | 248.900i | −0.896869 | − | 0.703108i | ||||
\(355\) | − | 274.549i | − | 0.773378i | ||||||
\(356\) | 3.23620 | + | 13.1654i | 0.00909045 | + | 0.0369816i | ||||
\(357\) | 134.281 | 0.376136 | ||||||||
\(358\) | −414.410 | + | 528.612i | −1.15757 | + | 1.47657i | ||||
\(359\) | 585.928i | 1.63211i | 0.577972 | + | 0.816056i | \(0.303844\pi\) | ||||
−0.577972 | + | 0.816056i | \(0.696156\pi\) | |||||||
\(360\) | −7.02807 | + | 15.5764i | −0.0195224 | + | 0.0432678i | ||||
\(361\) | −19.0000 | −0.0526316 | ||||||||
\(362\) | −92.7466 | − | 72.7095i | −0.256206 | − | 0.200855i | ||||
\(363\) | − | 349.400i | − | 0.962535i | ||||||
\(364\) | −97.7566 | + | 24.0296i | −0.268562 | + | 0.0660153i | ||||
\(365\) | 178.512 | 0.489075 | ||||||||
\(366\) | 313.761 | − | 400.227i | 0.857270 | − | 1.09352i | ||||
\(367\) | 428.832i | 1.16848i | 0.811581 | + | 0.584239i | \(0.198607\pi\) | ||||
−0.811581 | + | 0.584239i | \(0.801393\pi\) | |||||||
\(368\) | −46.4877 | − | 88.8467i | −0.126325 | − | 0.241431i | ||||
\(369\) | −3.21708 | −0.00871837 | ||||||||
\(370\) | 239.303 | + | 187.604i | 0.646766 | + | 0.507037i | ||||
\(371\) | 79.6886i | 0.214794i | ||||||||
\(372\) | −48.5675 | − | 197.581i | −0.130558 | − | 0.531133i | ||||
\(373\) | −127.502 | −0.341830 | −0.170915 | − | 0.985286i | \(-0.554672\pi\) | ||||
−0.170915 | + | 0.985286i | \(0.554672\pi\) | |||||||
\(374\) | −22.2181 | + | 28.3409i | −0.0594067 | + | 0.0757779i | ||||
\(375\) | 388.759i | 1.03669i | ||||||||
\(376\) | 133.869 | + | 60.4019i | 0.356036 | + | 0.160643i | ||||
\(377\) | −430.905 | −1.14298 | ||||||||
\(378\) | −84.6390 | − | 66.3535i | −0.223913 | − | 0.175538i | ||||
\(379\) | − | 244.665i | − | 0.645555i | −0.946475 | − | 0.322777i | \(-0.895384\pi\) | ||
0.946475 | − | 0.322777i | \(-0.104616\pi\) | |||||||
\(380\) | −62.0187 | + | 15.2448i | −0.163207 | + | 0.0401179i | ||||
\(381\) | 556.950 | 1.46181 | ||||||||
\(382\) | 121.772 | − | 155.329i | 0.318774 | − | 0.406621i | ||||
\(383\) | 685.025i | 1.78858i | 0.447491 | + | 0.894288i | \(0.352318\pi\) | ||||
−0.447491 | + | 0.894288i | \(0.647682\pi\) | |||||||
\(384\) | −370.722 | + | 21.6046i | −0.965422 | + | 0.0562619i | ||||
\(385\) | −5.33063 | −0.0138458 | ||||||||
\(386\) | −438.181 | − | 343.516i | −1.13518 | − | 0.889937i | ||||
\(387\) | 49.3007i | 0.127392i | ||||||||
\(388\) | −22.4551 | − | 91.3515i | −0.0578740 | − | 0.235442i | ||||
\(389\) | 290.167 | 0.745931 | 0.372966 | − | 0.927845i | \(-0.378341\pi\) | ||||
0.372966 | + | 0.927845i | \(0.378341\pi\) | |||||||
\(390\) | −170.619 | + | 217.638i | −0.437486 | + | 0.558047i | ||||
\(391\) | − | 149.975i | − | 0.383567i | ||||||
\(392\) | −148.911 | + | 330.034i | −0.379875 | + | 0.841922i | ||||
\(393\) | 267.863 | 0.681586 | ||||||||
\(394\) | −74.5086 | − | 58.4117i | −0.189108 | − | 0.148253i | ||||
\(395\) | − | 351.445i | − | 0.889735i | ||||||
\(396\) | 1.70441 | − | 0.418962i | 0.00430407 | − | 0.00105798i | ||||
\(397\) | 317.752 | 0.800384 | 0.400192 | − | 0.916431i | \(-0.368943\pi\) | ||||
0.400192 | + | 0.916431i | \(0.368943\pi\) | |||||||
\(398\) | −310.155 | + | 395.627i | −0.779284 | + | 0.994038i | ||||
\(399\) | − | 24.4591i | − | 0.0613009i | ||||||
\(400\) | 164.210 | − | 85.9207i | 0.410526 | − | 0.214802i | ||||
\(401\) | 445.424 | 1.11078 | 0.555392 | − | 0.831589i | \(-0.312568\pi\) | ||||
0.555392 | + | 0.831589i | \(0.312568\pi\) | |||||||
\(402\) | 480.025 | + | 376.319i | 1.19409 | + | 0.936118i | ||||
\(403\) | 228.133i | 0.566087i | ||||||||
\(404\) | −146.397 | − | 595.571i | −0.362369 | − | 1.47419i | ||||
\(405\) | −276.225 | −0.682036 | ||||||||
\(406\) | 79.0359 | − | 100.817i | 0.194670 | − | 0.248317i | ||||
\(407\) | − | 31.2313i | − | 0.0767353i | ||||||
\(408\) | −506.264 | − | 228.426i | −1.24084 | − | 0.559868i | ||||
\(409\) | 571.233 | 1.39666 | 0.698328 | − | 0.715778i | \(-0.253928\pi\) | ||||
0.698328 | + | 0.715778i | \(0.253928\pi\) | |||||||
\(410\) | −31.8050 | − | 24.9338i | −0.0775733 | − | 0.0608142i | ||||
\(411\) | 7.15815i | 0.0174164i | ||||||||
\(412\) | 445.018 | − | 109.390i | 1.08014 | − | 0.265509i | ||||
\(413\) | −134.477 | −0.325610 | ||||||||
\(414\) | −4.50971 | + | 5.75249i | −0.0108930 | + | 0.0138949i | ||||
\(415\) | 241.283i | 0.581406i | ||||||||
\(416\) | 409.438 | + | 75.6988i | 0.984227 | + | 0.181968i | ||||
\(417\) | 711.719 | 1.70676 | ||||||||
\(418\) | 5.16227 | + | 4.04700i | 0.0123499 | + | 0.00968182i | ||||
\(419\) | − | 308.595i | − | 0.736502i | −0.929726 | − | 0.368251i | \(-0.879957\pi\) | ||
0.929726 | − | 0.368251i | \(-0.120043\pi\) | |||||||
\(420\) | −19.6249 | − | 79.8378i | −0.0467260 | − | 0.190090i | ||||
\(421\) | 38.8298 | 0.0922324 | 0.0461162 | − | 0.998936i | \(-0.485316\pi\) | ||||
0.0461162 | + | 0.998936i | \(0.485316\pi\) | |||||||
\(422\) | −48.1155 | + | 61.3751i | −0.114018 | + | 0.145439i | ||||
\(423\) | − | 10.7058i | − | 0.0253092i | ||||||
\(424\) | 135.559 | − | 300.441i | 0.319715 | − | 0.708588i | ||||
\(425\) | 277.190 | 0.652212 | ||||||||
\(426\) | −342.270 | − | 268.325i | −0.803450 | − | 0.629871i | ||||
\(427\) | − | 169.520i | − | 0.397003i | ||||||
\(428\) | 629.232 | − | 154.672i | 1.47017 | − | 0.361382i | ||||
\(429\) | 28.4038 | 0.0662093 | ||||||||
\(430\) | −382.103 | + | 487.402i | −0.888611 | + | 1.13349i | ||||
\(431\) | 479.659i | 1.11290i | 0.830881 | + | 0.556450i | \(0.187837\pi\) | ||||
−0.830881 | + | 0.556450i | \(0.812163\pi\) | |||||||
\(432\) | 206.231 | + | 394.146i | 0.477386 | + | 0.912375i | ||||
\(433\) | 434.901 | 1.00439 | 0.502195 | − | 0.864754i | \(-0.332526\pi\) | ||||
0.502195 | + | 0.864754i | \(0.332526\pi\) | |||||||
\(434\) | −53.3751 | − | 41.8438i | −0.122984 | − | 0.0964143i | ||||
\(435\) | − | 351.920i | − | 0.809011i | ||||||
\(436\) | 115.460 | + | 469.713i | 0.264817 | + | 1.07732i | ||||
\(437\) | −27.3177 | −0.0625120 | ||||||||
\(438\) | 174.466 | − | 222.544i | 0.398323 | − | 0.508092i | ||||
\(439\) | − | 25.4779i | − | 0.0580363i | −0.999579 | − | 0.0290182i | \(-0.990762\pi\) | ||
0.999579 | − | 0.0290182i | \(-0.00923807\pi\) | |||||||
\(440\) | 20.0975 | + | 9.06799i | 0.0456762 | + | 0.0206091i | ||||
\(441\) | 26.3934 | 0.0598490 | ||||||||
\(442\) | 490.102 | + | 384.219i | 1.10883 | + | 0.869274i | ||||
\(443\) | − | 805.631i | − | 1.81858i | −0.416164 | − | 0.909290i | \(-0.636626\pi\) | ||
0.416164 | − | 0.909290i | \(-0.363374\pi\) | |||||||
\(444\) | 467.756 | − | 114.979i | 1.05351 | − | 0.258962i | ||||
\(445\) | 12.4148 | 0.0278985 | ||||||||
\(446\) | 233.788 | − | 298.215i | 0.524189 | − | 0.668644i | ||||
\(447\) | − | 151.919i | − | 0.339863i | ||||||
\(448\) | −92.8094 | + | 81.9096i | −0.207164 | + | 0.182834i | ||||
\(449\) | −106.288 | −0.236721 | −0.118360 | − | 0.992971i | \(-0.537764\pi\) | ||||
−0.118360 | + | 0.992971i | \(0.537764\pi\) | |||||||
\(450\) | −10.6320 | − | 8.33505i | −0.0236267 | − | 0.0185223i | ||||
\(451\) | 4.15085i | 0.00920366i | ||||||||
\(452\) | −87.0618 | − | 354.183i | −0.192615 | − | 0.783591i | ||||
\(453\) | −73.5328 | −0.162324 | ||||||||
\(454\) | 206.839 | − | 263.839i | 0.455592 | − | 0.581143i | ||||
\(455\) | 92.1830i | 0.202600i | ||||||||
\(456\) | −41.6076 | + | 92.2154i | −0.0912447 | + | 0.202227i | ||||
\(457\) | −730.620 | −1.59873 | −0.799365 | − | 0.600846i | \(-0.794831\pi\) | ||||
−0.799365 | + | 0.600846i | \(0.794831\pi\) | |||||||
\(458\) | 320.076 | + | 250.926i | 0.698856 | + | 0.547874i | ||||
\(459\) | 665.325i | 1.44951i | ||||||||
\(460\) | −89.1689 | + | 21.9186i | −0.193845 | + | 0.0476491i | ||||
\(461\) | −854.696 | −1.85401 | −0.927003 | − | 0.375055i | \(-0.877624\pi\) | ||||
−0.927003 | + | 0.375055i | \(0.877624\pi\) | |||||||
\(462\) | −5.20978 | + | 6.64549i | −0.0112766 | + | 0.0143842i | ||||
\(463\) | − | 769.128i | − | 1.66118i | −0.556882 | − | 0.830591i | \(-0.688003\pi\) | ||
0.556882 | − | 0.830591i | \(-0.311997\pi\) | |||||||
\(464\) | −469.481 | + | 245.649i | −1.01181 | + | 0.529416i | ||||
\(465\) | −186.316 | −0.400680 | ||||||||
\(466\) | −316.007 | − | 247.736i | −0.678126 | − | 0.531622i | ||||
\(467\) | − | 54.2556i | − | 0.116179i | −0.998311 | − | 0.0580895i | \(-0.981499\pi\) | ||
0.998311 | − | 0.0580895i | \(-0.0185009\pi\) | |||||||
\(468\) | −7.24514 | − | 29.4745i | −0.0154811 | − | 0.0629798i | ||||
\(469\) | 203.320 | 0.433517 | ||||||||
\(470\) | 82.9748 | − | 105.841i | 0.176542 | − | 0.225193i | ||||
\(471\) | 159.150i | 0.337899i | ||||||||
\(472\) | 507.004 | + | 228.760i | 1.07416 | + | 0.484661i | ||||
\(473\) | 63.6104 | 0.134483 | ||||||||
\(474\) | −438.133 | − | 343.478i | −0.924331 | − | 0.724637i | ||||
\(475\) | − | 50.4898i | − | 0.106294i | ||||||
\(476\) | −179.788 | + | 44.1936i | −0.377705 | + | 0.0928436i | ||||
\(477\) | −24.0269 | −0.0503708 | ||||||||
\(478\) | −204.475 | + | 260.824i | −0.427773 | + | 0.545658i | ||||
\(479\) | 512.359i | 1.06964i | 0.844965 | + | 0.534821i | \(0.179621\pi\) | ||||
−0.844965 | + | 0.534821i | \(0.820379\pi\) | |||||||
\(480\) | −61.8232 | + | 334.388i | −0.128798 | + | 0.696642i | ||||
\(481\) | −540.085 | −1.12284 | ||||||||
\(482\) | −624.582 | − | 489.646i | −1.29581 | − | 1.01586i | ||||
\(483\) | − | 35.1666i | − | 0.0728088i | ||||||
\(484\) | 114.992 | + | 467.810i | 0.237587 | + | 0.966549i | ||||
\(485\) | −86.1431 | −0.177615 | ||||||||
\(486\) | 38.7950 | − | 49.4860i | 0.0798250 | − | 0.101823i | ||||
\(487\) | 445.189i | 0.914146i | 0.889429 | + | 0.457073i | \(0.151102\pi\) | ||||
−0.889429 | + | 0.457073i | \(0.848898\pi\) | |||||||
\(488\) | −288.373 | + | 639.124i | −0.590927 | + | 1.30968i | ||||
\(489\) | −77.7654 | −0.159030 | ||||||||
\(490\) | 260.933 | + | 204.561i | 0.532517 | + | 0.417471i | ||||
\(491\) | 219.288i | 0.446615i | 0.974748 | + | 0.223308i | \(0.0716855\pi\) | ||||
−0.974748 | + | 0.223308i | \(0.928315\pi\) | |||||||
\(492\) | −62.1680 | + | 15.2815i | −0.126358 | + | 0.0310600i | ||||
\(493\) | −792.492 | −1.60749 | ||||||||
\(494\) | 69.9851 | − | 89.2715i | 0.141670 | − | 0.180711i | ||||
\(495\) | − | 1.60724i | − | 0.00324694i | ||||||
\(496\) | 130.053 | + | 248.556i | 0.262204 | + | 0.501121i | ||||
\(497\) | −144.972 | −0.291694 | ||||||||
\(498\) | 300.798 | + | 235.813i | 0.604013 | + | 0.473521i | ||||
\(499\) | 277.168i | 0.555446i | 0.960661 | + | 0.277723i | \(0.0895798\pi\) | ||||
−0.960661 | + | 0.277723i | \(0.910420\pi\) | |||||||
\(500\) | −127.946 | − | 520.507i | −0.255892 | − | 1.04101i | ||||
\(501\) | −181.986 | −0.363245 | ||||||||
\(502\) | 308.042 | − | 392.932i | 0.613630 | − | 0.782733i | ||||
\(503\) | − | 328.913i | − | 0.653903i | −0.945041 | − | 0.326951i | \(-0.893979\pi\) | ||
0.945041 | − | 0.326951i | \(-0.106021\pi\) | |||||||
\(504\) | 8.22490 | + | 3.71107i | 0.0163192 | + | 0.00736324i | ||||
\(505\) | −561.614 | −1.11211 | ||||||||
\(506\) | 7.42218 | + | 5.81868i | 0.0146683 | + | 0.0114994i | ||||
\(507\) | − | 0.889743i | − | 0.00175492i | ||||||
\(508\) | −745.697 | + | 183.300i | −1.46791 | + | 0.360826i | ||||
\(509\) | −371.573 | −0.730006 | −0.365003 | − | 0.931006i | \(-0.618932\pi\) | ||||
−0.365003 | + | 0.931006i | \(0.618932\pi\) | |||||||
\(510\) | −313.792 | + | 400.266i | −0.615278 | + | 0.784835i | ||||
\(511\) | − | 94.2610i | − | 0.184464i | ||||||
\(512\) | 489.247 | − | 150.936i | 0.955560 | − | 0.294796i | ||||
\(513\) | 121.188 | 0.236234 | ||||||||
\(514\) | 38.6836 | + | 30.3263i | 0.0752599 | + | 0.0590006i | ||||
\(515\) | − | 419.645i | − | 0.814845i | ||||||
\(516\) | 234.184 | + | 952.705i | 0.453846 | + | 1.84633i | ||||
\(517\) | −13.8132 | −0.0267180 | ||||||||
\(518\) | 99.0616 | − | 126.361i | 0.191239 | − | 0.243940i | ||||
\(519\) | − | 954.413i | − | 1.83895i | ||||||
\(520\) | 156.813 | − | 347.548i | 0.301564 | − | 0.668361i | ||||
\(521\) | −607.799 | −1.16660 | −0.583300 | − | 0.812256i | \(-0.698239\pi\) | ||||
−0.583300 | + | 0.812256i | \(0.698239\pi\) | |||||||
\(522\) | 30.3971 | + | 23.8301i | 0.0582320 | + | 0.0456515i | ||||
\(523\) | − | 384.474i | − | 0.735131i | −0.929998 | − | 0.367566i | \(-0.880191\pi\) | ||
0.929998 | − | 0.367566i | \(-0.119809\pi\) | |||||||
\(524\) | −358.641 | + | 88.1574i | −0.684429 | + | 0.168239i | ||||
\(525\) | 64.9965 | 0.123803 | ||||||||
\(526\) | 424.237 | − | 541.147i | 0.806534 | − | 1.02880i | ||||
\(527\) | 419.567i | 0.796142i | ||||||||
\(528\) | 30.9466 | − | 16.1924i | 0.0586110 | − | 0.0306673i | ||||
\(529\) | 489.723 | 0.925753 | ||||||||
\(530\) | −237.537 | − | 186.219i | −0.448183 | − | 0.351357i | ||||
\(531\) | − | 40.5460i | − | 0.0763579i | ||||||
\(532\) | 8.04981 | + | 32.7481i | 0.0151312 | + | 0.0615566i | ||||
\(533\) | 71.7809 | 0.134673 | ||||||||
\(534\) | 12.1334 | − | 15.4771i | 0.0227217 | − | 0.0289833i | ||||
\(535\) | − | 593.356i | − | 1.10908i | ||||||
\(536\) | −766.554 | − | 345.869i | −1.43014 | − | 0.645278i | ||||
\(537\) | 974.346 | 1.81442 | ||||||||
\(538\) | 101.966 | + | 79.9375i | 0.189529 | + | 0.148583i | ||||
\(539\) | − | 34.0542i | − | 0.0631803i | ||||||
\(540\) | 395.575 | − | 97.2363i | 0.732546 | − | 0.180067i | ||||
\(541\) | −382.676 | −0.707350 | −0.353675 | − | 0.935368i | \(-0.615068\pi\) | ||||
−0.353675 | + | 0.935368i | \(0.615068\pi\) | |||||||
\(542\) | 139.841 | − | 178.378i | 0.258009 | − | 0.329111i | ||||
\(543\) | 170.952i | 0.314828i | ||||||||
\(544\) | 753.012 | + | 139.220i | 1.38421 | + | 0.255919i | ||||
\(545\) | 442.932 | 0.812719 | ||||||||
\(546\) | 114.921 | + | 90.0932i | 0.210478 | + | 0.165006i | ||||
\(547\) | − | 179.104i | − | 0.327430i | −0.986508 | − | 0.163715i | \(-0.947652\pi\) | ||
0.986508 | − | 0.163715i | \(-0.0523477\pi\) | |||||||
\(548\) | −2.35584 | − | 9.58400i | −0.00429898 | − | 0.0174891i | ||||
\(549\) | 51.1119 | 0.0931000 | ||||||||
\(550\) | −10.7543 | + | 13.7180i | −0.0195533 | + | 0.0249418i | ||||
\(551\) | 144.351i | 0.261981i | ||||||||
\(552\) | −59.8223 | + | 132.585i | −0.108374 | + | 0.240190i | ||||
\(553\) | −185.576 | −0.335580 | ||||||||
\(554\) | −67.3720 | − | 52.8169i | −0.121610 | − | 0.0953373i | ||||
\(555\) | − | 441.087i | − | 0.794752i | ||||||
\(556\) | −952.916 | + | 234.236i | −1.71388 | + | 0.421288i | ||||
\(557\) | 720.325 | 1.29322 | 0.646612 | − | 0.762819i | \(-0.276185\pi\) | ||||
0.646612 | + | 0.762819i | \(0.276185\pi\) | |||||||
\(558\) | 12.6163 | − | 16.0931i | 0.0226099 | − | 0.0288407i | ||||
\(559\) | − | 1100.02i | − | 1.96783i | ||||||
\(560\) | 52.5514 | + | 100.436i | 0.0938418 | + | 0.179349i | ||||
\(561\) | 52.2384 | 0.0931165 | ||||||||
\(562\) | −317.971 | − | 249.276i | −0.565785 | − | 0.443552i | ||||
\(563\) | 175.948i | 0.312519i | 0.987716 | + | 0.156260i | \(0.0499436\pi\) | ||||
−0.987716 | + | 0.156260i | \(0.950056\pi\) | |||||||
\(564\) | −50.8538 | − | 206.883i | −0.0901664 | − | 0.366813i | ||||
\(565\) | −333.989 | −0.591132 | ||||||||
\(566\) | 95.7374 | − | 122.121i | 0.169147 | − | 0.215761i | ||||
\(567\) | 145.857i | 0.257243i | ||||||||
\(568\) | 546.572 | + | 246.613i | 0.962274 | + | 0.434178i | ||||
\(569\) | −547.930 | −0.962971 | −0.481485 | − | 0.876454i | \(-0.659903\pi\) | ||||
−0.481485 | + | 0.876454i | \(0.659903\pi\) | |||||||
\(570\) | 72.9080 | + | 57.1568i | 0.127909 | + | 0.100275i | ||||
\(571\) | − | 376.007i | − | 0.658507i | −0.944242 | − | 0.329253i | \(-0.893203\pi\) | ||
0.944242 | − | 0.329253i | \(-0.106797\pi\) | |||||||
\(572\) | −38.0297 | + | 9.34807i | −0.0664854 | + | 0.0163428i | ||||
\(573\) | −286.305 | −0.499659 | ||||||||
\(574\) | −13.1660 | + | 16.7942i | −0.0229372 | + | 0.0292582i | ||||
\(575\) | − | 72.5930i | − | 0.126249i | ||||||
\(576\) | −24.6965 | − | 27.9829i | −0.0428759 | − | 0.0485815i | ||||
\(577\) | 458.453 | 0.794546 | 0.397273 | − | 0.917700i | \(-0.369957\pi\) | ||||
0.397273 | + | 0.917700i | \(0.369957\pi\) | |||||||
\(578\) | 446.483 | + | 350.024i | 0.772462 | + | 0.605578i | ||||
\(579\) | 807.662i | 1.39493i | ||||||||
\(580\) | 115.822 | + | 471.183i | 0.199692 | + | 0.812385i | ||||
\(581\) | 127.406 | 0.219288 | ||||||||
\(582\) | −84.1902 | + | 107.391i | −0.144657 | + | 0.184521i | ||||
\(583\) | 31.0008i | 0.0531745i | ||||||||
\(584\) | −160.348 | + | 355.382i | −0.274569 | + | 0.608531i | ||||
\(585\) | −27.7940 | −0.0475112 | ||||||||
\(586\) | 514.896 | + | 403.657i | 0.878663 | + | 0.688835i | ||||
\(587\) | − | 335.174i | − | 0.570995i | −0.958379 | − | 0.285497i | \(-0.907841\pi\) | ||
0.958379 | − | 0.285497i | \(-0.0921588\pi\) | |||||||
\(588\) | 510.036 | − | 125.372i | 0.867408 | − | 0.213218i | ||||
\(589\) | 76.4236 | 0.129752 | ||||||||
\(590\) | 314.250 | − | 400.851i | 0.532628 | − | 0.679408i | ||||
\(591\) | 137.335i | 0.232378i | ||||||||
\(592\) | −588.435 | + | 307.890i | −0.993978 | + | 0.520084i | ||||
\(593\) | −280.543 | −0.473092 | −0.236546 | − | 0.971620i | \(-0.576015\pi\) | ||||
−0.236546 | + | 0.971620i | \(0.576015\pi\) | |||||||
\(594\) | −32.9266 | − | 25.8131i | −0.0554320 | − | 0.0434564i | ||||
\(595\) | 169.537i | 0.284936i | ||||||||
\(596\) | 49.9985 | + | 203.403i | 0.0838901 | + | 0.341280i | ||||
\(597\) | 729.225 | 1.22148 | ||||||||
\(598\) | 100.623 | − | 128.352i | 0.168266 | − | 0.214636i | ||||
\(599\) | 677.612i | 1.13124i | 0.824667 | + | 0.565619i | \(0.191363\pi\) | ||||
−0.824667 | + | 0.565619i | \(0.808637\pi\) | |||||||
\(600\) | −245.050 | − | 110.566i | −0.408416 | − | 0.184277i | ||||
\(601\) | 177.699 | 0.295672 | 0.147836 | − | 0.989012i | \(-0.452769\pi\) | ||||
0.147836 | + | 0.989012i | \(0.452769\pi\) | |||||||
\(602\) | 257.366 | + | 201.764i | 0.427518 | + | 0.335156i | ||||
\(603\) | 61.3028i | 0.101663i | ||||||||
\(604\) | 98.4527 | − | 24.2006i | 0.163001 | − | 0.0400673i | ||||
\(605\) | 441.137 | 0.729152 | ||||||||
\(606\) | −548.882 | + | 700.142i | −0.905746 | + | 1.15535i | ||||
\(607\) | 826.068i | 1.36090i | 0.732793 | + | 0.680451i | \(0.238216\pi\) | ||||
−0.732793 | + | 0.680451i | \(0.761784\pi\) | |||||||
\(608\) | 25.3588 | − | 137.160i | 0.0417085 | − | 0.225593i | ||||
\(609\) | −185.826 | −0.305134 | ||||||||
\(610\) | 505.308 | + | 396.141i | 0.828374 | + | 0.649411i | ||||
\(611\) | 238.873i | 0.390954i | ||||||||
\(612\) | −13.3248 | − | 54.2076i | −0.0217725 | − | 0.0885746i | ||||
\(613\) | 839.090 | 1.36883 | 0.684413 | − | 0.729095i | \(-0.260059\pi\) | ||||
0.684413 | + | 0.729095i | \(0.260059\pi\) | |||||||
\(614\) | −331.052 | + | 422.283i | −0.539173 | + | 0.687758i | ||||
\(615\) | 58.6235i | 0.0953227i | ||||||||
\(616\) | 4.78823 | − | 10.6122i | 0.00777310 | − | 0.0172276i | ||||
\(617\) | 615.452 | 0.997491 | 0.498746 | − | 0.866748i | \(-0.333794\pi\) | ||||
0.498746 | + | 0.866748i | \(0.333794\pi\) | |||||||
\(618\) | −523.155 | − | 410.132i | −0.846529 | − | 0.663643i | ||||
\(619\) | − | 118.351i | − | 0.191197i | −0.995420 | − | 0.0955984i | \(-0.969524\pi\) | ||
0.995420 | − | 0.0955984i | \(-0.0304765\pi\) | |||||||
\(620\) | 249.457 | − | 61.3191i | 0.402351 | − | 0.0989018i | ||||
\(621\) | 174.241 | 0.280582 | ||||||||
\(622\) | 554.650 | − | 707.499i | 0.891720 | − | 1.13746i | ||||
\(623\) | − | 6.55547i | − | 0.0105224i | ||||||
\(624\) | −280.016 | − | 535.162i | −0.448743 | − | 0.857631i | ||||
\(625\) | −201.251 | −0.322002 | ||||||||
\(626\) | −446.854 | − | 350.315i | −0.713824 | − | 0.559608i | ||||
\(627\) | − | 9.51516i | − | 0.0151757i | ||||||
\(628\) | −52.3785 | − | 213.085i | −0.0834053 | − | 0.339308i | ||||
\(629\) | −993.288 | −1.57915 | ||||||||
\(630\) | 5.09794 | − | 6.50282i | 0.00809197 | − | 0.0103219i | ||||
\(631\) | 665.915i | 1.05533i | 0.849452 | + | 0.527667i | \(0.176933\pi\) | ||||
−0.849452 | + | 0.527667i | \(0.823067\pi\) | |||||||
\(632\) | 699.657 | + | 315.685i | 1.10705 | + | 0.499501i | ||||
\(633\) | 113.127 | 0.178716 | ||||||||
\(634\) | −870.568 | − | 682.489i | −1.37313 | − | 1.07648i | ||||
\(635\) | 703.181i | 1.10737i | ||||||||
\(636\) | −464.304 | + | 114.131i | −0.730038 | + | 0.179451i | ||||
\(637\) | −588.902 | −0.924493 | ||||||||
\(638\) | 30.7469 | − | 39.2200i | 0.0481926 | − | 0.0614734i | ||||
\(639\) | − | 43.7104i | − | 0.0684043i | ||||||
\(640\) | −27.2770 | − | 468.057i | −0.0426203 | − | 0.731339i | ||||
\(641\) | 396.009 | 0.617798 | 0.308899 | − | 0.951095i | \(-0.400039\pi\) | ||||
0.308899 | + | 0.951095i | \(0.400039\pi\) | |||||||
\(642\) | −739.714 | − | 579.905i | −1.15220 | − | 0.903278i | ||||
\(643\) | 890.406i | 1.38477i | 0.721529 | + | 0.692384i | \(0.243440\pi\) | ||||
−0.721529 | + | 0.692384i | \(0.756560\pi\) | |||||||
\(644\) | 11.5738 | + | 47.0844i | 0.0179718 | + | 0.0731124i | ||||
\(645\) | 898.386 | 1.39285 | ||||||||
\(646\) | 128.712 | − | 164.182i | 0.199245 | − | 0.254152i | ||||
\(647\) | − | 1022.42i | − | 1.58025i | −0.612945 | − | 0.790126i | \(-0.710015\pi\) | ||
0.612945 | − | 0.790126i | \(-0.289985\pi\) | |||||||
\(648\) | 248.118 | − | 549.907i | 0.382898 | − | 0.848623i | ||||
\(649\) | −52.3147 | −0.0806082 | ||||||||
\(650\) | 237.226 | + | 185.976i | 0.364964 | + | 0.286116i | ||||
\(651\) | 98.3816i | 0.151124i | ||||||||
\(652\) | 104.120 | − | 25.5936i | 0.159693 | − | 0.0392541i | ||||
\(653\) | 298.828 | 0.457623 | 0.228811 | − | 0.973471i | \(-0.426516\pi\) | ||||
0.228811 | + | 0.973471i | \(0.426516\pi\) | |||||||
\(654\) | 432.890 | − | 552.186i | 0.661912 | − | 0.844320i | ||||
\(655\) | 338.193i | 0.516324i | ||||||||
\(656\) | 78.2070 | − | 40.9207i | 0.119218 | − | 0.0623790i | ||||
\(657\) | 28.4206 | 0.0432581 | ||||||||
\(658\) | −55.8878 | − | 43.8137i | −0.0849358 | − | 0.0665861i | ||||
\(659\) | 76.0870i | 0.115458i | 0.998332 | + | 0.0577292i | \(0.0183860\pi\) | ||||
−0.998332 | + | 0.0577292i | \(0.981614\pi\) | |||||||
\(660\) | −7.63457 | − | 31.0588i | −0.0115675 | − | 0.0470588i | ||||
\(661\) | −63.4958 | −0.0960602 | −0.0480301 | − | 0.998846i | \(-0.515294\pi\) | ||||
−0.0480301 | + | 0.998846i | \(0.515294\pi\) | |||||||
\(662\) | 346.523 | − | 442.017i | 0.523448 | − | 0.667699i | ||||
\(663\) | − | 903.362i | − | 1.36254i | ||||||
\(664\) | −480.346 | − | 216.732i | −0.723413 | − | 0.326404i | ||||
\(665\) | 30.8809 | 0.0464375 | ||||||||
\(666\) | 38.0990 | + | 29.8680i | 0.0572056 | + | 0.0448468i | ||||
\(667\) | 207.545i | 0.311162i | ||||||||
\(668\) | 243.659 | − | 59.8939i | 0.364760 | − | 0.0896616i | ||||
\(669\) | −549.674 | −0.821636 | ||||||||
\(670\) | −475.124 | + | 606.058i | −0.709141 | + | 0.904565i | ||||
\(671\) | − | 65.9474i | − | 0.0982822i | ||||||
\(672\) | 176.569 | + | 32.6449i | 0.262752 | + | 0.0485787i | ||||
\(673\) | −814.516 | −1.21028 | −0.605138 | − | 0.796120i | \(-0.706882\pi\) | ||||
−0.605138 | + | 0.796120i | \(0.706882\pi\) | |||||||
\(674\) | 146.602 | + | 114.930i | 0.217511 | + | 0.170520i | ||||
\(675\) | 322.040i | 0.477097i | ||||||||
\(676\) | 0.292826 | + | 1.19127i | 0.000433175 | + | 0.00176224i | ||||
\(677\) | 127.732 | 0.188673 | 0.0943365 | − | 0.995540i | \(-0.469927\pi\) | ||||
0.0943365 | + | 0.995540i | \(0.469927\pi\) | |||||||
\(678\) | −326.418 | + | 416.371i | −0.481442 | + | 0.614117i | ||||
\(679\) | 45.4866i | 0.0669906i | ||||||||
\(680\) | 288.401 | − | 639.187i | 0.424119 | − | 0.939980i | ||||
\(681\) | −486.311 | −0.714113 | ||||||||
\(682\) | −20.7642 | − | 16.2782i | −0.0304460 | − | 0.0238684i | ||||
\(683\) | − | 518.648i | − | 0.759367i | −0.925116 | − | 0.379684i | \(-0.876033\pi\) | ||
0.925116 | − | 0.379684i | \(-0.123967\pi\) | |||||||
\(684\) | −9.87386 | + | 2.42709i | −0.0144355 | + | 0.00354838i | ||||
\(685\) | −9.03756 | −0.0131935 | ||||||||
\(686\) | 224.959 | − | 286.953i | 0.327929 | − | 0.418299i | ||||
\(687\) | − | 589.969i | − | 0.858761i | ||||||
\(688\) | −627.096 | − | 1198.50i | −0.911476 | − | 1.74200i | ||||
\(689\) | 536.098 | 0.778082 | ||||||||
\(690\) | 104.825 | + | 82.1787i | 0.151921 | + | 0.119100i | ||||
\(691\) | 1279.00i | 1.85094i | 0.378823 | + | 0.925469i | \(0.376329\pi\) | ||||
−0.378823 | + | 0.925469i | \(0.623671\pi\) | |||||||
\(692\) | 314.110 | + | 1277.86i | 0.453916 | + | 1.84662i | ||||
\(693\) | −0.848678 | −0.00122464 | ||||||||
\(694\) | −273.009 | + | 348.245i | −0.393385 | + | 0.501793i | ||||
\(695\) | 898.585i | 1.29293i | ||||||||
\(696\) | 700.601 | + | 316.111i | 1.00661 | + | 0.454183i | ||||
\(697\) | 132.015 | 0.189404 | ||||||||
\(698\) | −358.491 | − | 281.042i | −0.513598 | − | 0.402639i | ||||
\(699\) | 582.468i | 0.833287i | ||||||||
\(700\) | −87.0234 | + | 21.3912i | −0.124319 | + | 0.0305589i | ||||
\(701\) | 189.067 | 0.269710 | 0.134855 | − | 0.990865i | \(-0.456943\pi\) | ||||
0.134855 | + | 0.990865i | \(0.456943\pi\) | |||||||
\(702\) | −446.388 | + | 569.402i | −0.635880 | + | 0.811114i | ||||
\(703\) | 180.926i | 0.257363i | ||||||||
\(704\) | −36.1051 | + | 31.8648i | −0.0512856 | + | 0.0452625i | ||||
\(705\) | −195.087 | −0.276719 | ||||||||
\(706\) | −267.300 | − | 209.552i | −0.378612 | − | 0.296816i | ||||
\(707\) | 296.552i | 0.419452i | ||||||||
\(708\) | −192.599 | − | 783.527i | −0.272032 | − | 1.10668i | ||||
\(709\) | 722.894 | 1.01960 | 0.509798 | − | 0.860294i | \(-0.329720\pi\) | ||||
0.509798 | + | 0.860294i | \(0.329720\pi\) | |||||||
\(710\) | 338.775 | − | 432.134i | 0.477148 | − | 0.608640i | ||||
\(711\) | − | 55.9528i | − | 0.0786960i | ||||||
\(712\) | −11.1516 | + | 24.7154i | −0.0156623 | + | 0.0347126i | ||||
\(713\) | 109.880 | 0.154109 | ||||||||
\(714\) | 211.355 | + | 165.693i | 0.296015 | + | 0.232064i | ||||
\(715\) | 35.8614i | 0.0501558i | ||||||||
\(716\) | −1304.55 | + | 320.670i | −1.82199 | + | 0.447863i | ||||
\(717\) | 480.755 | 0.670509 | ||||||||
\(718\) | −722.997 | + | 922.239i | −1.00696 | + | 1.28446i | ||||
\(719\) | − | 768.781i | − | 1.06924i | −0.845094 | − | 0.534618i | \(-0.820455\pi\) | ||
0.845094 | − | 0.534618i | \(-0.179545\pi\) | |||||||
\(720\) | −30.2823 | + | 15.8447i | −0.0420587 | + | 0.0220066i | ||||
\(721\) | −221.588 | −0.307334 | ||||||||
\(722\) | −29.9056 | − | 23.4447i | −0.0414205 | − | 0.0324719i | ||||
\(723\) | 1151.24i | 1.59231i | ||||||||
\(724\) | −56.2625 | − | 228.886i | −0.0777107 | − | 0.316141i | ||||
\(725\) | −383.594 | −0.529095 | ||||||||
\(726\) | 431.136 | − | 549.948i | 0.593852 | − | 0.757505i | ||||
\(727\) | − | 1092.23i | − | 1.50238i | −0.660085 | − | 0.751191i | \(-0.729480\pi\) | ||
0.660085 | − | 0.751191i | \(-0.270520\pi\) | |||||||
\(728\) | −183.518 | − | 82.8032i | −0.252085 | − | 0.113741i | ||||
\(729\) | −769.916 | −1.05613 | ||||||||
\(730\) | 280.975 | + | 220.273i | 0.384897 | + | 0.301743i | ||||
\(731\) | − | 2023.08i | − | 2.76756i | ||||||
\(732\) | 987.706 | − | 242.788i | 1.34932 | − | 0.331678i | ||||
\(733\) | 571.768 | 0.780038 | 0.390019 | − | 0.920807i | \(-0.372468\pi\) | ||||
0.390019 | + | 0.920807i | \(0.372468\pi\) | |||||||
\(734\) | −529.150 | + | 674.972i | −0.720912 | + | 0.919580i | ||||
\(735\) | − | 480.956i | − | 0.654362i | ||||||
\(736\) | 36.4602 | − | 197.206i | 0.0495384 | − | 0.267942i | ||||
\(737\) | 79.0961 | 0.107322 | ||||||||
\(738\) | −5.06361 | − | 3.96966i | −0.00686126 | − | 0.00537894i | ||||
\(739\) | 299.431i | 0.405184i | 0.979263 | + | 0.202592i | \(0.0649365\pi\) | ||||
−0.979263 | + | 0.202592i | \(0.935063\pi\) | |||||||
\(740\) | 145.168 | + | 590.569i | 0.196173 | + | 0.798066i | ||||
\(741\) | −164.546 | −0.222060 | ||||||||
\(742\) | −98.3304 | + | 125.428i | −0.132521 | + | 0.169041i | ||||
\(743\) | 16.0943i | 0.0216612i | 0.999941 | + | 0.0108306i | \(0.00344755\pi\) | ||||
−0.999941 | + | 0.0108306i | \(0.996552\pi\) | |||||||
\(744\) | 167.358 | − | 370.918i | 0.224944 | − | 0.498545i | ||||
\(745\) | 191.806 | 0.257458 | ||||||||
\(746\) | −200.686 | − | 157.330i | −0.269016 | − | 0.210898i | ||||
\(747\) | 38.4142i | 0.0514246i | ||||||||
\(748\) | −69.9416 | + | 17.1924i | −0.0935049 | + | 0.0229844i | ||||
\(749\) | −313.313 | −0.418309 | ||||||||
\(750\) | −479.703 | + | 611.899i | −0.639604 | + | 0.815865i | ||||
\(751\) | − | 699.482i | − | 0.931401i | −0.884942 | − | 0.465701i | \(-0.845802\pi\) | ||
0.884942 | − | 0.465701i | \(-0.154198\pi\) | |||||||
\(752\) | 136.176 | + | 260.257i | 0.181085 | + | 0.346087i | ||||
\(753\) | −724.258 | −0.961830 | ||||||||
\(754\) | −678.235 | − | 531.708i | −0.899516 | − | 0.705183i | ||||
\(755\) | − | 92.8393i | − | 0.122966i | ||||||
\(756\) | −51.3443 | − | 208.878i | −0.0679157 | − | 0.276294i | ||||
\(757\) | 11.5679 | 0.0152812 | 0.00764062 | − | 0.999971i | \(-0.497568\pi\) | ||||
0.00764062 | + | 0.999971i | \(0.497568\pi\) | |||||||
\(758\) | 301.901 | − | 385.098i | 0.398286 | − | 0.508045i | ||||
\(759\) | − | 13.6807i | − | 0.0180246i | ||||||
\(760\) | −116.427 | − | 52.5319i | −0.153194 | − | 0.0691209i | ||||
\(761\) | −354.338 | −0.465622 | −0.232811 | − | 0.972522i | \(-0.574792\pi\) | ||||
−0.232811 | + | 0.972522i | \(0.574792\pi\) | |||||||
\(762\) | 876.628 | + | 687.239i | 1.15043 | + | 0.901889i | ||||
\(763\) | − | 233.884i | − | 0.306532i | ||||||
\(764\) | 383.332 | − | 94.2267i | 0.501743 | − | 0.123333i | ||||
\(765\) | −51.1170 | −0.0668195 | ||||||||
\(766\) | −845.275 | + | 1078.21i | −1.10349 | + | 1.40759i | ||||
\(767\) | 904.682i | 1.17951i | ||||||||
\(768\) | −610.167 | − | 423.441i | −0.794488 | − | 0.551355i | ||||
\(769\) | 847.602 | 1.10221 | 0.551106 | − | 0.834435i | \(-0.314206\pi\) | ||||
0.551106 | + | 0.834435i | \(0.314206\pi\) | |||||||
\(770\) | −8.39030 | − | 6.57764i | −0.0108965 | − | 0.00854239i | ||||
\(771\) | − | 71.3021i | − | 0.0924801i | ||||||
\(772\) | −265.812 | − | 1081.37i | −0.344316 | − | 1.40074i | ||||
\(773\) | 712.408 | 0.921615 | 0.460807 | − | 0.887500i | \(-0.347560\pi\) | ||||
0.460807 | + | 0.887500i | \(0.347560\pi\) | |||||||
\(774\) | −60.8337 | + | 77.5982i | −0.0785966 | + | 0.100256i | ||||
\(775\) | 203.085i | 0.262045i | ||||||||
\(776\) | 77.3778 | − | 171.493i | 0.0997137 | − | 0.220997i | ||||
\(777\) | −232.910 | −0.299755 | ||||||||
\(778\) | 456.717 | + | 358.047i | 0.587040 | + | 0.460215i | ||||
\(779\) | − | 24.0463i | − | 0.0308682i | ||||||
\(780\) | −537.102 | + | 132.025i | −0.688593 | + | 0.169263i | ||||
\(781\) | −56.3975 | −0.0722119 | ||||||||
\(782\) | 185.059 | − | 236.057i | 0.236648 | − | 0.301863i | ||||
\(783\) | − | 920.720i | − | 1.17589i | ||||||
\(784\) | −641.622 | + | 335.719i | −0.818396 | + | 0.428213i | ||||
\(785\) | −200.936 | −0.255970 | ||||||||
\(786\) | 421.611 | + | 330.526i | 0.536401 | + | 0.420516i | ||||
\(787\) | − | 514.229i | − | 0.653404i | −0.945127 | − | 0.326702i | \(-0.894063\pi\) | ||
0.945127 | − | 0.326702i | \(-0.105937\pi\) | |||||||
\(788\) | −45.1989 | − | 183.877i | −0.0573590 | − | 0.233347i | ||||
\(789\) | −997.450 | −1.26420 | ||||||||
\(790\) | 433.660 | − | 553.167i | 0.548937 | − | 0.700212i | ||||
\(791\) | 176.358i | 0.222956i | ||||||||
\(792\) | 3.19968 | + | 1.44370i | 0.00404000 | + | 0.00182285i | ||||
\(793\) | −1140.43 | −1.43812 | ||||||||
\(794\) | 500.135 | + | 392.085i | 0.629894 | + | 0.493810i | ||||
\(795\) | 437.831i | 0.550731i | ||||||||
\(796\) | −976.355 | + | 239.998i | −1.22658 | + | 0.301505i | ||||
\(797\) | 934.459 | 1.17247 | 0.586235 | − | 0.810141i | \(-0.300609\pi\) | ||||
0.586235 | + | 0.810141i | \(0.300609\pi\) | |||||||
\(798\) | 30.1809 | − | 38.4980i | 0.0378206 | − | 0.0482432i | ||||
\(799\) | 439.319i | 0.549836i | ||||||||
\(800\) | 364.484 | + | 67.3874i | 0.455605 | + | 0.0842343i | ||||
\(801\) | 1.97654 | 0.00246759 | ||||||||
\(802\) | 701.088 | + | 549.624i | 0.874175 | + | 0.685316i | ||||
\(803\) | − | 36.6698i | − | 0.0456660i | ||||||
\(804\) | 291.196 | + | 1184.64i | 0.362184 | + | 1.47343i | ||||
\(805\) | 44.3998 | 0.0551551 | ||||||||
\(806\) | −281.501 | + | 359.076i | −0.349257 | + | 0.445504i | ||||
\(807\) | − | 187.946i | − | 0.232895i | ||||||
\(808\) | 504.469 | − | 1118.06i | 0.624342 | − | 1.38374i | ||||
\(809\) | 1126.44 | 1.39239 | 0.696195 | − | 0.717853i | \(-0.254875\pi\) | ||||
0.696195 | + | 0.717853i | \(0.254875\pi\) | |||||||
\(810\) | −434.772 | − | 340.843i | −0.536755 | − | 0.420794i | ||||
\(811\) | − | 938.339i | − | 1.15702i | −0.815677 | − | 0.578508i | \(-0.803635\pi\) | ||
0.815677 | − | 0.578508i | \(-0.196365\pi\) | |||||||
\(812\) | 248.802 | − | 61.1580i | 0.306406 | − | 0.0753177i | ||||
\(813\) | −328.789 | −0.404414 | ||||||||
\(814\) | 38.5373 | − | 49.1573i | 0.0473431 | − | 0.0603899i | ||||
\(815\) | − | 98.1832i | − | 0.120470i | ||||||
\(816\) | −514.986 | − | 984.234i | −0.631110 | − | 1.20617i | ||||
\(817\) | −368.502 | −0.451043 | ||||||||
\(818\) | 899.108 | + | 704.863i | 1.09915 | + | 0.861691i | ||||
\(819\) | 14.6763i | 0.0179197i | ||||||||
\(820\) | −19.2938 | − | 78.4906i | −0.0235290 | − | 0.0957202i | ||||
\(821\) | 509.877 | 0.621044 | 0.310522 | − | 0.950566i | \(-0.399496\pi\) | ||||
0.310522 | + | 0.950566i | \(0.399496\pi\) | |||||||
\(822\) | −8.83268 | + | 11.2668i | −0.0107454 | + | 0.0137065i | ||||
\(823\) | 791.322i | 0.961509i | 0.876855 | + | 0.480754i | \(0.159637\pi\) | ||||
−0.876855 | + | 0.480754i | \(0.840363\pi\) | |||||||
\(824\) | 835.429 | + | 376.945i | 1.01387 | + | 0.457458i | ||||
\(825\) | 25.2852 | 0.0306487 | ||||||||
\(826\) | −211.664 | − | 165.935i | −0.256251 | − | 0.200890i | ||||
\(827\) | 725.787i | 0.877615i | 0.898581 | + | 0.438807i | \(0.144599\pi\) | ||||
−0.898581 | + | 0.438807i | \(0.855401\pi\) | |||||||
\(828\) | −14.1964 | + | 3.48961i | −0.0171454 | + | 0.00421451i | ||||
\(829\) | −987.501 | −1.19120 | −0.595598 | − | 0.803283i | \(-0.703085\pi\) | ||||
−0.595598 | + | 0.803283i | \(0.703085\pi\) | |||||||
\(830\) | −297.728 | + | 379.775i | −0.358708 | + | 0.457560i | ||||
\(831\) | 124.181i | 0.149436i | ||||||||
\(832\) | 551.040 | + | 624.368i | 0.662308 | + | 0.750442i | ||||
\(833\) | −1083.07 | −1.30020 | ||||||||
\(834\) | 1120.23 | + | 878.214i | 1.34320 | + | 1.05301i | ||||
\(835\) | − | 229.767i | − | 0.275170i | ||||||
\(836\) | 3.13157 | + | 12.7398i | 0.00374589 | + | 0.0152390i | ||||
\(837\) | −487.455 | −0.582383 | ||||||||
\(838\) | 380.785 | − | 485.721i | 0.454397 | − | 0.579620i | ||||
\(839\) | − | 1549.38i | − | 1.84670i | −0.383959 | − | 0.923350i | \(-0.625439\pi\) | ||
0.383959 | − | 0.923350i | \(-0.374561\pi\) | |||||||
\(840\) | 67.6253 | − | 149.879i | 0.0805063 | − | 0.178427i | ||||
\(841\) | 255.702 | 0.304045 | ||||||||
\(842\) | 61.1173 | + | 47.9134i | 0.0725859 | + | 0.0569043i | ||||
\(843\) | 586.089i | 0.695242i | ||||||||
\(844\) | −151.466 | + | 37.2317i | −0.179462 | + | 0.0441134i | ||||
\(845\) | 1.12335 | 0.00132941 | ||||||||
\(846\) | 13.2102 | − | 16.8507i | 0.0156149 | − | 0.0199181i | ||||
\(847\) | − | 232.936i | − | 0.275013i | ||||||
\(848\) | 584.092 | − | 305.617i | 0.688787 | − | 0.360398i | ||||
\(849\) | −225.094 | −0.265129 | ||||||||
\(850\) | 436.291 | + | 342.034i | 0.513284 | + | 0.402393i | ||||
\(851\) | 260.131i | 0.305677i | ||||||||
\(852\) | −207.630 | − | 844.676i | −0.243697 | − | 0.991403i | ||||
\(853\) | −108.740 | −0.127480 | −0.0637399 | − | 0.997967i | \(-0.520303\pi\) | ||||
−0.0637399 | + | 0.997967i | \(0.520303\pi\) | |||||||
\(854\) | 209.177 | − | 266.821i | 0.244937 | − | 0.312437i | ||||
\(855\) | 9.31089i | 0.0108899i | ||||||||
\(856\) | 1181.25 | + | 532.981i | 1.37997 | + | 0.622641i | ||||
\(857\) | −958.909 | −1.11891 | −0.559457 | − | 0.828860i | \(-0.688990\pi\) | ||||
−0.559457 | + | 0.828860i | \(0.688990\pi\) | |||||||
\(858\) | 44.7070 | + | 35.0484i | 0.0521060 | + | 0.0408489i | ||||
\(859\) | 1060.62i | 1.23471i | 0.786684 | + | 0.617356i | \(0.211796\pi\) | ||||
−0.786684 | + | 0.617356i | \(0.788204\pi\) | |||||||
\(860\) | −1202.84 | + | 295.671i | −1.39865 | + | 0.343803i | ||||
\(861\) | 30.9553 | 0.0359527 | ||||||||
\(862\) | −591.868 | + | 754.974i | −0.686622 | + | 0.875840i | ||||
\(863\) | 838.621i | 0.971751i | 0.874028 | + | 0.485875i | \(0.161499\pi\) | ||||
−0.874028 | + | 0.485875i | \(0.838501\pi\) | |||||||
\(864\) | −161.747 | + | 874.852i | −0.187207 | + | 1.01256i | ||||
\(865\) | 1205.00 | 1.39306 | ||||||||
\(866\) | 684.525 | + | 536.639i | 0.790444 | + | 0.619675i | ||||
\(867\) | − | 822.963i | − | 0.949208i | ||||||
\(868\) | −32.3787 | − | 131.723i | −0.0373027 | − | 0.151754i | ||||
\(869\) | −72.1934 | −0.0830764 | ||||||||
\(870\) | 434.246 | − | 553.914i | 0.499133 | − | 0.636683i | ||||
\(871\) | − | 1367.82i | − | 1.57040i | ||||||
\(872\) | −397.862 | + | 881.788i | −0.456264 | + | 1.01122i | ||||
\(873\) | −13.7147 | −0.0157098 | ||||||||
\(874\) | −42.9975 | − | 33.7083i | −0.0491962 | − | 0.0385678i | ||||
\(875\) | 259.176i | 0.296201i | ||||||||
\(876\) | 549.210 | − | 135.001i | 0.626952 | − | 0.154111i | ||||
\(877\) | 1453.86 | 1.65776 | 0.828882 | − | 0.559424i | \(-0.188978\pi\) | ||||
0.828882 | + | 0.559424i | \(0.188978\pi\) | |||||||
\(878\) | 31.4381 | − | 40.1017i | 0.0358065 | − | 0.0456740i | ||||
\(879\) | − | 949.064i | − | 1.07971i | ||||||
\(880\) | 20.4437 | + | 39.0718i | 0.0232315 | + | 0.0443998i | ||||
\(881\) | 156.229 | 0.177332 | 0.0886659 | − | 0.996061i | \(-0.471740\pi\) | ||||
0.0886659 | + | 0.996061i | \(0.471740\pi\) | |||||||
\(882\) | 41.5426 | + | 32.5677i | 0.0471005 | + | 0.0369248i | ||||
\(883\) | 37.1369i | 0.0420577i | 0.999779 | + | 0.0210288i | \(0.00669418\pi\) | ||||
−0.999779 | + | 0.0210288i | \(0.993306\pi\) | |||||||
\(884\) | 297.309 | + | 1209.51i | 0.336322 | + | 1.36822i | ||||
\(885\) | −738.854 | −0.834863 | ||||||||
\(886\) | 994.094 | − | 1268.05i | 1.12200 | − | 1.43120i | ||||
\(887\) | 490.932i | 0.553474i | 0.960946 | + | 0.276737i | \(0.0892532\pi\) | ||||
−0.960946 | + | 0.276737i | \(0.910747\pi\) | |||||||
\(888\) | 878.115 | + | 396.205i | 0.988869 | + | 0.446177i | ||||
\(889\) | 371.305 | 0.417666 | ||||||||
\(890\) | 19.5407 | + | 15.3191i | 0.0219558 | + | 0.0172124i | ||||
\(891\) | 56.7417i | 0.0636831i | ||||||||
\(892\) | 735.955 | − | 180.905i | 0.825062 | − | 0.202808i | ||||
\(893\) | 80.0214 | 0.0896096 | ||||||||
\(894\) | 187.458 | − | 239.117i | 0.209684 | − | 0.267468i | ||||
\(895\) | 1230.17i | 1.37449i | ||||||||
\(896\) | −247.151 | + | 14.4032i | −0.275838 | + | 0.0160750i | ||||
\(897\) | −236.581 | −0.263747 | ||||||||
\(898\) | −167.294 | − | 131.152i | −0.186297 | − | 0.146049i | ||||
\(899\) | − | 580.624i | − | 0.645856i | ||||||
\(900\) | −6.44966 | − | 26.2384i | −0.00716629 | − | 0.0291538i | ||||
\(901\) | 985.957 | 1.09429 | ||||||||
\(902\) | −5.12187 | + | 6.53335i | −0.00567835 | + | 0.00724318i | ||||
\(903\) | − | 474.380i | − | 0.525338i | ||||||
\(904\) | 300.005 | − | 664.905i | 0.331864 | − | 0.735515i | ||||
\(905\) | −215.836 | −0.238493 | ||||||||
\(906\) | −115.739 | − | 90.7346i | −0.127747 | − | 0.100149i | ||||
\(907\) | 167.806i | 0.185012i | 0.995712 | + | 0.0925060i | \(0.0294877\pi\) | ||||
−0.995712 | + | 0.0925060i | \(0.970512\pi\) | |||||||
\(908\) | 651.119 | − | 160.052i | 0.717091 | − | 0.176268i | ||||
\(909\) | −89.4134 | −0.0983645 | ||||||||
\(910\) | −113.748 | + | 145.094i | −0.124997 | + | 0.159444i | ||||
\(911\) | − | 1217.97i | − | 1.33696i | −0.743730 | − | 0.668481i | \(-0.766945\pi\) | ||
0.743730 | − | 0.668481i | \(-0.233055\pi\) | |||||||
\(912\) | −179.277 | + | 93.8041i | −0.196576 | + | 0.102855i | ||||
\(913\) | 49.5641 | 0.0542871 | ||||||||
\(914\) | −1149.98 | − | 901.536i | −1.25818 | − | 0.986363i | ||||
\(915\) | − | 931.391i | − | 1.01791i | ||||||
\(916\) | 194.167 | + | 789.906i | 0.211972 | + | 0.862342i | ||||
\(917\) | 178.578 | 0.194741 | ||||||||
\(918\) | −820.966 | + | 1047.21i | −0.894299 | + | 1.14075i | ||||
\(919\) | − | 1037.14i | − | 1.12855i | −0.825585 | − | 0.564277i | \(-0.809155\pi\) | ||
0.825585 | − | 0.564277i | \(-0.190845\pi\) | |||||||
\(920\) | −167.396 | − | 75.5291i | −0.181952 | − | 0.0820968i | ||||
\(921\) | 778.358 | 0.845123 | ||||||||
\(922\) | −1345.27 | − | 1054.64i | −1.45908 | − | 1.14386i | ||||
\(923\) | 975.286i | 1.05665i | ||||||||
\(924\) | −16.4002 | + | 4.03133i | −0.0177491 | + | 0.00436291i | ||||
\(925\) | −480.786 | −0.519769 | ||||||||
\(926\) | 949.052 | − | 1210.59i | 1.02489 | − | 1.30733i | ||||
\(927\) | − | 66.8108i | − | 0.0720720i | ||||||
\(928\) | −1042.07 | − | 192.662i | −1.12292 | − | 0.207610i | ||||
\(929\) | −98.9780 | −0.106543 | −0.0532713 | − | 0.998580i | \(-0.516965\pi\) | ||||
−0.0532713 | + | 0.998580i | \(0.516965\pi\) | |||||||
\(930\) | −293.258 | − | 229.902i | −0.315331 | − | 0.247206i | ||||
\(931\) | 197.280i | 0.211901i | ||||||||
\(932\) | −191.698 | − | 779.862i | −0.205685 | − | 0.836762i | ||||
\(933\) | −1304.07 | −1.39772 | ||||||||
\(934\) | 66.9478 | − | 85.3971i | 0.0716786 | − | 0.0914316i | ||||
\(935\) | 65.9539i | 0.0705389i | ||||||||
\(936\) | 24.9659 | − | 55.3323i | 0.0266730 | − | 0.0591157i | ||||
\(937\) | 1744.65 | 1.86195 | 0.930974 | − | 0.365084i | \(-0.118960\pi\) | ||||
0.930974 | + | 0.365084i | \(0.118960\pi\) | |||||||
\(938\) | 320.021 | + | 250.883i | 0.341173 | + | 0.267466i | ||||
\(939\) | 823.647i | 0.877154i | ||||||||
\(940\) | 261.201 | − | 64.2058i | 0.277873 | − | 0.0683041i | ||||
\(941\) | −723.767 | −0.769147 | −0.384574 | − | 0.923094i | \(-0.625652\pi\) | ||||
−0.384574 | + | 0.923094i | \(0.625652\pi\) | |||||||
\(942\) | −196.381 | + | 250.499i | −0.208472 | + | 0.265923i | ||||
\(943\) | − | 34.5732i | − | 0.0366630i | ||||||
\(944\) | 515.738 | + | 985.672i | 0.546333 | + | 1.04414i | ||||
\(945\) | −196.969 | −0.208432 | ||||||||
\(946\) | 100.121 | + | 78.4910i | 0.105837 | + | 0.0829715i | ||||
\(947\) | − | 819.583i | − | 0.865452i | −0.901526 | − | 0.432726i | \(-0.857552\pi\) | ||
0.901526 | − | 0.432726i | \(-0.142448\pi\) | |||||||
\(948\) | −265.783 | − | 1081.25i | −0.280362 | − | 1.14056i | ||||
\(949\) | −634.133 | −0.668212 | ||||||||
\(950\) | 62.3011 | − | 79.4699i | 0.0655801 | − | 0.0836525i | ||||
\(951\) | 1604.64i | 1.68732i | ||||||||
\(952\) | −337.514 | − | 152.286i | −0.354531 | − | 0.159964i | ||||
\(953\) | 1777.86 | 1.86554 | 0.932771 | − | 0.360470i | \(-0.117384\pi\) | ||||
0.932771 | + | 0.360470i | \(0.117384\pi\) | |||||||
\(954\) | −37.8178 | − | 29.6475i | −0.0396412 | − | 0.0310771i | ||||
\(955\) | − | 361.476i | − | 0.378509i | ||||||
\(956\) | −643.680 | + | 158.223i | −0.673306 | + | 0.165505i | ||||
\(957\) | −72.2909 | −0.0755391 | ||||||||
\(958\) | −632.216 | + | 806.441i | −0.659934 | + | 0.841797i | ||||
\(959\) | 4.77216i | 0.00497618i | ||||||||
\(960\) | −509.921 | + | 450.034i | −0.531168 | + | 0.468786i | ||||
\(961\) | 653.601 | 0.680126 | ||||||||
\(962\) | −850.082 | − | 666.428i | −0.883661 | − | 0.692753i | ||||
\(963\) | − | 94.4669i | − | 0.0980965i | ||||||
\(964\) | −378.888 | − | 1541.39i | −0.393037 | − | 1.59895i | ||||
\(965\) | −1019.72 | −1.05670 | ||||||||
\(966\) | 43.3933 | − | 55.3515i | 0.0449206 | − | 0.0572997i | ||||
\(967\) | 1306.29i | 1.35087i | 0.737421 | + | 0.675433i | \(0.236043\pi\) | ||||
−0.737421 | + | 0.675433i | \(0.763957\pi\) | |||||||
\(968\) | −396.250 | + | 878.215i | −0.409350 | + | 0.907247i | ||||
\(969\) | −302.623 | −0.312304 | ||||||||
\(970\) | −135.587 | − | 106.295i | −0.139781 | − | 0.109582i | ||||
\(971\) | 940.020i | 0.968094i | 0.875042 | + | 0.484047i | \(0.160834\pi\) | ||||
−0.875042 | + | 0.484047i | \(0.839166\pi\) | |||||||
\(972\) | 122.125 | − | 30.0195i | 0.125643 | − | 0.0308843i | ||||
\(973\) | 474.485 | 0.487652 | ||||||||
\(974\) | −549.334 | + | 700.718i | −0.563998 | + | 0.719423i | ||||
\(975\) | − | 437.259i | − | 0.448471i | ||||||
\(976\) | −1242.53 | + | 650.134i | −1.27308 | + | 0.666121i | ||||
\(977\) | −549.002 | −0.561927 | −0.280963 | − | 0.959719i | \(-0.590654\pi\) | ||||
−0.280963 | + | 0.959719i | \(0.590654\pi\) | |||||||
\(978\) | −122.401 | − | 95.9574i | −0.125155 | − | 0.0981159i | ||||
\(979\) | − | 2.55023i | − | 0.00260494i | ||||||
\(980\) | 158.289 | + | 643.949i | 0.161519 | + | 0.657091i | ||||
\(981\) | 70.5182 | 0.0718840 | ||||||||
\(982\) | −270.587 | + | 345.155i | −0.275547 | + | 0.351482i | ||||
\(983\) | − | 506.118i | − | 0.514871i | −0.966295 | − | 0.257436i | \(-0.917122\pi\) | ||
0.966295 | − | 0.257436i | \(-0.0828775\pi\) | |||||||
\(984\) | −116.708 | − | 52.6584i | −0.118605 | − | 0.0535146i | ||||
\(985\) | −173.394 | −0.176034 | ||||||||
\(986\) | −1247.36 | − | 977.882i | −1.26508 | − | 0.991767i | ||||
\(987\) | 103.013i | 0.104370i | ||||||||
\(988\) | 220.310 | − | 54.1544i | 0.222986 | − | 0.0548122i | ||||
\(989\) | −529.823 | −0.535716 | ||||||||
\(990\) | 1.98322 | − | 2.52975i | 0.00200325 | − | 0.00255531i | ||||
\(991\) | − | 213.024i | − | 0.214959i | −0.994207 | − | 0.107479i | \(-0.965722\pi\) | ||
0.994207 | − | 0.107479i | \(-0.0342780\pi\) | |||||||
\(992\) | −102.001 | + | 551.699i | −0.102823 | + | 0.556148i | ||||
\(993\) | −814.731 | −0.820474 | ||||||||
\(994\) | −228.183 | − | 178.886i | −0.229560 | − | 0.179965i | ||||
\(995\) | 920.687i | 0.925314i | ||||||||
\(996\) | 182.472 | + | 742.330i | 0.183205 | + | 0.745312i | ||||
\(997\) | −940.041 | −0.942870 | −0.471435 | − | 0.881901i | \(-0.656264\pi\) | ||||
−0.471435 | + | 0.881901i | \(0.656264\pi\) | |||||||
\(998\) | −342.007 | + | 436.256i | −0.342692 | + | 0.437130i | ||||
\(999\) | − | 1154.01i | − | 1.15516i |
(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 | 76.3.b.b.39.12 | yes | 14 | |
3.2 | odd | 2 | 684.3.g.b.343.3 | 14 | |||
4.3 | odd | 2 | inner | 76.3.b.b.39.11 | ✓ | 14 | |
8.3 | odd | 2 | 1216.3.d.d.191.5 | 14 | |||
8.5 | even | 2 | 1216.3.d.d.191.10 | 14 | |||
12.11 | even | 2 | 684.3.g.b.343.4 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.3.b.b.39.11 | ✓ | 14 | 4.3 | odd | 2 | inner | |
76.3.b.b.39.12 | yes | 14 | 1.1 | even | 1 | trivial | |
684.3.g.b.343.3 | 14 | 3.2 | odd | 2 | |||
684.3.g.b.343.4 | 14 | 12.11 | even | 2 | |||
1216.3.d.d.191.5 | 14 | 8.3 | odd | 2 | |||
1216.3.d.d.191.10 | 14 | 8.5 | even | 2 |