Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [240,4,Mod(53,240)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(240, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 2, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("240.53");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 240 = 2^{4} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 240.bf (of order \(4\), 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: | \(14.1604584014\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(140\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 77.70 | ||
Character | \(\chi\) | \(=\) | 240.77 |
Dual form | 240.4.bf.a.53.70 |
$q$-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 \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(161\) | \(181\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0459492 | + | 2.82805i | −0.0162455 | + | 0.999868i | ||||
\(3\) | 0.422093 | + | 5.17898i | 0.0812318 | + | 0.996695i | ||||
\(4\) | −7.99578 | − | 0.259893i | −0.999472 | − | 0.0324867i | ||||
\(5\) | −3.69195 | − | 10.5532i | −0.330218 | − | 0.943905i | ||||
\(6\) | −14.6658 | + | 0.955732i | −0.997883 | + | 0.0650293i | ||||
\(7\) | −12.0982 | + | 12.0982i | −0.653241 | + | 0.653241i | −0.953772 | − | 0.300531i | \(-0.902836\pi\) |
0.300531 | + | 0.953772i | \(0.402836\pi\) | |||||||
\(8\) | 1.10239 | − | 22.6005i | 0.0487193 | − | 0.998813i | ||||
\(9\) | −26.6437 | + | 4.37202i | −0.986803 | + | 0.161927i | ||||
\(10\) | 30.0146 | − | 9.95613i | 0.949145 | − | 0.314840i | ||||
\(11\) | −19.8066 | − | 19.8066i | −0.542903 | − | 0.542903i | 0.381476 | − | 0.924379i | \(-0.375416\pi\) |
−0.924379 | + | 0.381476i | \(0.875416\pi\) | |||||||
\(12\) | −2.02898 | − | 41.5197i | −0.0488096 | − | 0.998808i | ||||
\(13\) | 59.2447 | 1.26396 | 0.631982 | − | 0.774983i | \(-0.282242\pi\) | ||||
0.631982 | + | 0.774983i | \(0.282242\pi\) | |||||||
\(14\) | −33.6585 | − | 34.7703i | −0.642543 | − | 0.663767i | ||||
\(15\) | 53.0963 | − | 23.5750i | 0.913961 | − | 0.405802i | ||||
\(16\) | 63.8649 | + | 4.15610i | 0.997889 | + | 0.0649391i | ||||
\(17\) | −31.5199 | + | 31.5199i | −0.449689 | + | 0.449689i | −0.895251 | − | 0.445562i | \(-0.853004\pi\) |
0.445562 | + | 0.895251i | \(0.353004\pi\) | |||||||
\(18\) | −11.1401 | − | 75.5506i | −0.145874 | − | 0.989303i | ||||
\(19\) | 46.7903 | − | 46.7903i | 0.564970 | − | 0.564970i | −0.365745 | − | 0.930715i | \(-0.619186\pi\) |
0.930715 | + | 0.365745i | \(0.119186\pi\) | |||||||
\(20\) | 26.7773 | + | 85.3403i | 0.299380 | + | 0.954134i | ||||
\(21\) | −67.7629 | − | 57.5498i | −0.704147 | − | 0.598019i | ||||
\(22\) | 56.9244 | − | 55.1042i | 0.551651 | − | 0.534011i | ||||
\(23\) | 139.684 | − | 139.684i | 1.26636 | − | 1.26636i | 0.318401 | − | 0.947956i | \(-0.396854\pi\) |
0.947956 | − | 0.318401i | \(-0.103146\pi\) | |||||||
\(24\) | 117.513 | − | 3.83027i | 0.999469 | − | 0.0325771i | ||||
\(25\) | −97.7390 | + | 77.9236i | −0.781912 | + | 0.623389i | ||||
\(26\) | −2.72225 | + | 167.547i | −0.0205337 | + | 1.26380i | ||||
\(27\) | −33.8887 | − | 136.142i | −0.241551 | − | 0.970388i | ||||
\(28\) | 99.8788 | − | 93.5903i | 0.674118 | − | 0.631675i | ||||
\(29\) | −171.453 | − | 171.453i | −1.09786 | − | 1.09786i | −0.994661 | − | 0.103200i | \(-0.967092\pi\) |
−0.103200 | − | 0.994661i | \(-0.532908\pi\) | |||||||
\(30\) | 64.2315 | + | 151.243i | 0.390901 | + | 0.920433i | ||||
\(31\) | 4.54261 | 0.0263186 | 0.0131593 | − | 0.999913i | \(-0.495811\pi\) | ||||
0.0131593 | + | 0.999913i | \(0.495811\pi\) | |||||||
\(32\) | −14.6882 | + | 180.422i | −0.0811417 | + | 0.996703i | ||||
\(33\) | 94.2180 | − | 110.938i | 0.497007 | − | 0.585209i | ||||
\(34\) | −87.6917 | − | 90.5884i | −0.442324 | − | 0.456935i | ||||
\(35\) | 172.340 | + | 83.0085i | 0.832310 | + | 0.400885i | ||||
\(36\) | 214.173 | − | 28.0332i | 0.991542 | − | 0.129783i | ||||
\(37\) | 50.6108 | 0.224875 | 0.112437 | − | 0.993659i | \(-0.464134\pi\) | ||||
0.112437 | + | 0.993659i | \(0.464134\pi\) | |||||||
\(38\) | 130.175 | + | 134.475i | 0.555717 | + | 0.574074i | ||||
\(39\) | 25.0068 | + | 306.827i | 0.102674 | + | 1.25979i | ||||
\(40\) | −242.578 | + | 71.8064i | −0.958872 | + | 0.283840i | ||||
\(41\) | −147.772 | −0.562882 | −0.281441 | − | 0.959578i | \(-0.590812\pi\) | ||||
−0.281441 | + | 0.959578i | \(0.590812\pi\) | |||||||
\(42\) | 165.868 | − | 188.993i | 0.609379 | − | 0.694339i | ||||
\(43\) | − | 37.2795i | − | 0.132211i | −0.997813 | − | 0.0661055i | \(-0.978943\pi\) | ||
0.997813 | − | 0.0661055i | \(-0.0210574\pi\) | |||||||
\(44\) | 153.222 | + | 163.517i | 0.524979 | + | 0.560253i | ||||
\(45\) | 144.506 | + | 265.034i | 0.478704 | + | 0.877977i | ||||
\(46\) | 388.617 | + | 401.453i | 1.24562 | + | 1.28676i | ||||
\(47\) | 164.558 | − | 164.558i | 0.510706 | − | 0.510706i | −0.404037 | − | 0.914743i | \(-0.632393\pi\) |
0.914743 | + | 0.404037i | \(0.132393\pi\) | |||||||
\(48\) | 5.43257 | + | 332.509i | 0.0163359 | + | 0.999867i | ||||
\(49\) | 50.2671i | 0.146551i | ||||||||
\(50\) | −215.881 | − | 279.992i | −0.610604 | − | 0.791936i | ||||
\(51\) | −176.545 | − | 149.937i | −0.484731 | − | 0.411673i | ||||
\(52\) | −473.708 | − | 15.3973i | −1.26330 | − | 0.0410620i | ||||
\(53\) | −586.991 | −1.52131 | −0.760655 | − | 0.649156i | \(-0.775122\pi\) | ||||
−0.760655 | + | 0.649156i | \(0.775122\pi\) | |||||||
\(54\) | 386.573 | − | 89.5836i | 0.974184 | − | 0.225755i | ||||
\(55\) | −135.898 | + | 282.148i | −0.333172 | + | 0.691725i | ||||
\(56\) | 260.089 | + | 286.763i | 0.620640 | + | 0.684291i | ||||
\(57\) | 262.076 | + | 222.576i | 0.608996 | + | 0.517209i | ||||
\(58\) | 492.755 | − | 476.999i | 1.11555 | − | 1.07988i | ||||
\(59\) | 451.586 | − | 451.586i | 0.996465 | − | 0.996465i | −0.00352884 | − | 0.999994i | \(-0.501123\pi\) |
0.999994 | + | 0.00352884i | \(0.00112327\pi\) | |||||||
\(60\) | −430.673 | + | 174.701i | −0.926662 | + | 0.375896i | ||||
\(61\) | 247.951 | + | 247.951i | 0.520441 | + | 0.520441i | 0.917704 | − | 0.397264i | \(-0.130040\pi\) |
−0.397264 | + | 0.917704i | \(0.630040\pi\) | |||||||
\(62\) | −0.208729 | + | 12.8467i | −0.000427558 | + | 0.0263151i | ||||
\(63\) | 269.447 | − | 375.234i | 0.538843 | − | 0.750398i | ||||
\(64\) | −509.569 | − | 49.8293i | −0.995253 | − | 0.0973229i | ||||
\(65\) | −218.729 | − | 625.220i | −0.417384 | − | 1.19306i | ||||
\(66\) | 309.411 | + | 271.551i | 0.577058 | + | 0.506449i | ||||
\(67\) | − | 612.397i | − | 1.11666i | −0.829619 | − | 0.558330i | \(-0.811442\pi\) | ||
0.829619 | − | 0.558330i | \(-0.188558\pi\) | |||||||
\(68\) | 260.218 | − | 243.834i | 0.464060 | − | 0.434842i | ||||
\(69\) | 782.383 | + | 664.463i | 1.36504 | + | 1.15930i | ||||
\(70\) | −242.671 | + | 483.574i | −0.414354 | + | 0.825687i | ||||
\(71\) | −893.040 | −1.49274 | −0.746368 | − | 0.665533i | \(-0.768204\pi\) | ||||
−0.746368 | + | 0.665533i | \(0.768204\pi\) | |||||||
\(72\) | 69.4383 | + | 606.981i | 0.113658 | + | 0.993520i | ||||
\(73\) | −801.284 | − | 801.284i | −1.28470 | − | 1.28470i | −0.937961 | − | 0.346740i | \(-0.887289\pi\) |
−0.346740 | − | 0.937961i | \(-0.612711\pi\) | |||||||
\(74\) | −2.32552 | + | 143.130i | −0.00365320 | + | 0.224845i | ||||
\(75\) | −444.820 | − | 473.297i | −0.684845 | − | 0.728689i | ||||
\(76\) | −386.285 | + | 361.964i | −0.583026 | + | 0.546318i | ||||
\(77\) | 479.250 | 0.709293 | ||||||||
\(78\) | −868.873 | + | 56.6221i | −1.26129 | + | 0.0821947i | ||||
\(79\) | 59.1384i | 0.0842226i | 0.999113 | + | 0.0421113i | \(0.0134084\pi\) | ||||
−0.999113 | + | 0.0421113i | \(0.986592\pi\) | |||||||
\(80\) | −191.926 | − | 689.322i | −0.268225 | − | 0.963356i | ||||
\(81\) | 690.771 | − | 232.974i | 0.947559 | − | 0.319580i | ||||
\(82\) | 6.79002 | − | 417.908i | 0.00914430 | − | 0.562808i | ||||
\(83\) | − | 795.850i | − | 1.05248i | −0.850336 | − | 0.526240i | \(-0.823601\pi\) | ||
0.850336 | − | 0.526240i | \(-0.176399\pi\) | |||||||
\(84\) | 526.860 | + | 477.766i | 0.684347 | + | 0.620578i | ||||
\(85\) | 449.005 | + | 216.265i | 0.572958 | + | 0.275968i | ||||
\(86\) | 105.429 | + | 1.71296i | 0.132194 | + | 0.00214783i | ||||
\(87\) | 815.581 | − | 960.319i | 1.00505 | − | 1.18341i | ||||
\(88\) | −469.476 | + | 425.806i | −0.568708 | + | 0.515808i | ||||
\(89\) | − | 1102.02i | − | 1.31251i | −0.754538 | − | 0.656256i | \(-0.772139\pi\) | ||
0.754538 | − | 0.656256i | \(-0.227861\pi\) | |||||||
\(90\) | −756.171 | + | 396.492i | −0.885637 | + | 0.464377i | ||||
\(91\) | −716.755 | + | 716.755i | −0.825674 | + | 0.825674i | ||||
\(92\) | −1153.19 | + | 1080.58i | −1.30683 | + | 1.22455i | ||||
\(93\) | 1.91740 | + | 23.5261i | 0.00213791 | + | 0.0262316i | ||||
\(94\) | 457.816 | + | 472.939i | 0.502342 | + | 0.518936i | ||||
\(95\) | −666.534 | − | 321.039i | −0.719841 | − | 0.346714i | ||||
\(96\) | −940.604 | + | 0.0850801i | −1.00000 | + | 9.04526e-5i | ||||
\(97\) | 372.410 | + | 372.410i | 0.389820 | + | 0.389820i | 0.874623 | − | 0.484803i | \(-0.161109\pi\) |
−0.484803 | + | 0.874623i | \(0.661109\pi\) | |||||||
\(98\) | −142.158 | − | 2.30973i | −0.146532 | − | 0.00238080i | ||||
\(99\) | 614.317 | + | 441.127i | 0.623648 | + | 0.447827i | ||||
\(100\) | 801.751 | − | 597.658i | 0.801751 | − | 0.597658i | ||||
\(101\) | 220.231 | + | 220.231i | 0.216968 | + | 0.216968i | 0.807220 | − | 0.590251i | \(-0.200971\pi\) |
−0.590251 | + | 0.807220i | \(0.700971\pi\) | |||||||
\(102\) | 432.141 | − | 492.390i | 0.419494 | − | 0.477980i | ||||
\(103\) | 469.076 | + | 469.076i | 0.448732 | + | 0.448732i | 0.894933 | − | 0.446201i | \(-0.147223\pi\) |
−0.446201 | + | 0.894933i | \(0.647223\pi\) | |||||||
\(104\) | 65.3109 | − | 1338.96i | 0.0615794 | − | 1.26246i | ||||
\(105\) | −357.155 | + | 927.585i | −0.331951 | + | 0.862124i | ||||
\(106\) | 26.9718 | − | 1660.04i | 0.0247144 | − | 1.52111i | ||||
\(107\) | 721.302i | 0.651691i | 0.945423 | + | 0.325845i | \(0.105649\pi\) | ||||
−0.945423 | + | 0.325845i | \(0.894351\pi\) | |||||||
\(108\) | 235.584 | + | 1097.37i | 0.209899 | + | 0.977723i | ||||
\(109\) | −1091.70 | + | 1091.70i | −0.959316 | + | 0.959316i | −0.999204 | − | 0.0398883i | \(-0.987300\pi\) |
0.0398883 | + | 0.999204i | \(0.487300\pi\) | |||||||
\(110\) | −791.686 | − | 397.291i | −0.686221 | − | 0.344365i | ||||
\(111\) | 21.3625 | + | 262.112i | 0.0182670 | + | 0.224131i | ||||
\(112\) | −822.932 | + | 722.369i | −0.694283 | + | 0.609442i | ||||
\(113\) | −210.584 | − | 210.584i | −0.175311 | − | 0.175311i | 0.613997 | − | 0.789308i | \(-0.289561\pi\) |
−0.789308 | + | 0.613997i | \(0.789561\pi\) | |||||||
\(114\) | −641.499 | + | 730.937i | −0.527034 | + | 0.600514i | ||||
\(115\) | −1989.82 | − | 958.406i | −1.61349 | − | 0.777146i | ||||
\(116\) | 1326.34 | + | 1415.46i | 1.06161 | + | 1.13295i | ||||
\(117\) | −1578.50 | + | 259.019i | −1.24728 | + | 0.204670i | ||||
\(118\) | 1256.36 | + | 1297.86i | 0.980145 | + | 1.01252i | ||||
\(119\) | − | 762.669i | − | 0.587510i | ||||||
\(120\) | −474.274 | − | 1226.00i | −0.360793 | − | 0.932646i | ||||
\(121\) | − | 546.393i | − | 0.410513i | ||||||
\(122\) | −712.612 | + | 689.826i | −0.528827 | + | 0.511917i | ||||
\(123\) | −62.3737 | − | 765.311i | −0.0457240 | − | 0.561022i | ||||
\(124\) | −36.3217 | − | 1.18059i | −0.0263047 | − | 0.000855004i | ||||
\(125\) | 1183.19 | + | 743.767i | 0.846621 | + | 0.532196i | ||||
\(126\) | 1048.80 | + | 779.252i | 0.741545 | + | 0.550963i | ||||
\(127\) | −1552.64 | − | 1552.64i | −1.08484 | − | 1.08484i | −0.996051 | − | 0.0887853i | \(-0.971702\pi\) |
−0.0887853 | − | 0.996051i | \(-0.528298\pi\) | |||||||
\(128\) | 164.334 | − | 1438.80i | 0.113478 | − | 0.993540i | ||||
\(129\) | 193.070 | − | 15.7354i | 0.131774 | − | 0.0107397i | ||||
\(130\) | 1778.21 | − | 589.848i | 1.19968 | − | 0.397947i | ||||
\(131\) | −326.172 | + | 326.172i | −0.217541 | + | 0.217541i | −0.807461 | − | 0.589921i | \(-0.799159\pi\) |
0.589921 | + | 0.807461i | \(0.299159\pi\) | |||||||
\(132\) | −782.178 | + | 862.553i | −0.515757 | + | 0.568754i | ||||
\(133\) | 1132.16i | 0.738123i | ||||||||
\(134\) | 1731.89 | + | 28.1391i | 1.11651 | + | 0.0181407i | ||||
\(135\) | −1311.61 | + | 860.262i | −0.836189 | + | 0.548441i | ||||
\(136\) | 677.620 | + | 747.115i | 0.427246 | + | 0.471063i | ||||
\(137\) | −1919.22 | − | 1919.22i | −1.19686 | − | 1.19686i | −0.975101 | − | 0.221762i | \(-0.928819\pi\) |
−0.221762 | − | 0.975101i | \(-0.571181\pi\) | |||||||
\(138\) | −1915.09 | + | 2182.09i | −1.18133 | + | 1.34603i | ||||
\(139\) | 281.481 | + | 281.481i | 0.171762 | + | 0.171762i | 0.787753 | − | 0.615991i | \(-0.211244\pi\) |
−0.615991 | + | 0.787753i | \(0.711244\pi\) | |||||||
\(140\) | −1356.42 | − | 708.507i | −0.818847 | − | 0.427713i | ||||
\(141\) | 921.699 | + | 782.782i | 0.550504 | + | 0.467533i | ||||
\(142\) | 41.0344 | − | 2525.56i | 0.0242502 | − | 1.49254i | ||||
\(143\) | −1173.44 | − | 1173.44i | −0.686209 | − | 0.686209i | ||||
\(144\) | −1719.77 | + | 168.485i | −0.995235 | + | 0.0975029i | ||||
\(145\) | −1176.37 | + | 2442.36i | −0.673742 | + | 1.39881i | ||||
\(146\) | 2302.89 | − | 2229.26i | 1.30540 | − | 1.26366i | ||||
\(147\) | −260.332 | + | 21.2174i | −0.146067 | + | 0.0119046i | ||||
\(148\) | −404.672 | − | 13.1534i | −0.224756 | − | 0.00730543i | ||||
\(149\) | 677.817 | − | 677.817i | 0.372678 | − | 0.372678i | −0.495774 | − | 0.868452i | \(-0.665116\pi\) |
0.868452 | + | 0.495774i | \(0.165116\pi\) | |||||||
\(150\) | 1358.95 | − | 1236.23i | 0.739718 | − | 0.672917i | ||||
\(151\) | − | 1037.34i | − | 0.559059i | −0.960137 | − | 0.279529i | \(-0.909822\pi\) | ||
0.960137 | − | 0.279529i | \(-0.0901784\pi\) | |||||||
\(152\) | −1005.90 | − | 1109.07i | −0.536774 | − | 0.591824i | ||||
\(153\) | 702.001 | − | 977.613i | 0.370937 | − | 0.516570i | ||||
\(154\) | −22.0211 | + | 1355.34i | −0.0115228 | + | 0.709199i | ||||
\(155\) | −16.7711 | − | 47.9389i | −0.00869088 | − | 0.0248422i | ||||
\(156\) | −120.206 | − | 2459.82i | −0.0616936 | − | 1.26246i | ||||
\(157\) | 1578.42i | 0.802366i | 0.915998 | + | 0.401183i | \(0.131401\pi\) | ||||
−0.915998 | + | 0.401183i | \(0.868599\pi\) | |||||||
\(158\) | −167.247 | − | 2.71736i | −0.0842115 | − | 0.00136824i | ||||
\(159\) | −247.765 | − | 3040.02i | −0.123579 | − | 1.51628i | ||||
\(160\) | 1958.26 | − | 511.103i | 0.967587 | − | 0.252539i | ||||
\(161\) | 3379.86i | 1.65447i | ||||||||
\(162\) | 627.121 | + | 1964.24i | 0.304144 | + | 0.952626i | ||||
\(163\) | −512.768 | −0.246399 | −0.123200 | − | 0.992382i | \(-0.539316\pi\) | ||||
−0.123200 | + | 0.992382i | \(0.539316\pi\) | |||||||
\(164\) | 1181.56 | + | 38.4051i | 0.562585 | + | 0.0182862i | ||||
\(165\) | −1518.60 | − | 584.719i | −0.716503 | − | 0.275881i | ||||
\(166\) | 2250.71 | + | 36.5686i | 1.05234 | + | 0.0170981i | ||||
\(167\) | 3021.76 | + | 3021.76i | 1.40019 | + | 1.40019i | 0.799440 | + | 0.600747i | \(0.205130\pi\) |
0.600747 | + | 0.799440i | \(0.294870\pi\) | |||||||
\(168\) | −1375.36 | + | 1468.04i | −0.631614 | + | 0.674175i | ||||
\(169\) | 1312.94 | 0.597605 | ||||||||
\(170\) | −632.241 | + | 1259.87i | −0.285239 | + | 0.568400i | ||||
\(171\) | −1042.10 | + | 1451.23i | −0.466030 | + | 0.648998i | ||||
\(172\) | −9.68870 | + | 298.079i | −0.00429510 | + | 0.132141i | ||||
\(173\) | 2172.10i | 0.954578i | 0.878746 | + | 0.477289i | \(0.158380\pi\) | ||||
−0.878746 | + | 0.477289i | \(0.841620\pi\) | |||||||
\(174\) | 2678.36 | + | 2350.63i | 1.16693 | + | 1.02414i | ||||
\(175\) | 239.731 | − | 2125.20i | 0.103554 | − | 0.918001i | ||||
\(176\) | −1182.63 | − | 1347.27i | −0.506501 | − | 0.577012i | ||||
\(177\) | 2529.36 | + | 2148.14i | 1.07412 | + | 0.912227i | ||||
\(178\) | 3116.56 | + | 50.6368i | 1.31234 | + | 0.0213224i | ||||
\(179\) | 887.498 | + | 887.498i | 0.370585 | + | 0.370585i | 0.867690 | − | 0.497105i | \(-0.165604\pi\) |
−0.497105 | + | 0.867690i | \(0.665604\pi\) | |||||||
\(180\) | −1086.56 | − | 2156.71i | −0.449928 | − | 0.893065i | ||||
\(181\) | 1105.70 | − | 1105.70i | 0.454067 | − | 0.454067i | −0.442635 | − | 0.896702i | \(-0.645956\pi\) |
0.896702 | + | 0.442635i | \(0.145956\pi\) | |||||||
\(182\) | −1994.09 | − | 2059.95i | −0.812151 | − | 0.838978i | ||||
\(183\) | −1179.48 | + | 1388.79i | −0.476444 | + | 0.560997i | ||||
\(184\) | −3002.96 | − | 3310.93i | −1.20316 | − | 1.32655i | ||||
\(185\) | −186.852 | − | 534.104i | −0.0742577 | − | 0.212260i | ||||
\(186\) | −66.6211 | + | 4.34152i | −0.0262629 | + | 0.00171148i | ||||
\(187\) | 1248.61 | 0.488274 | ||||||||
\(188\) | −1358.53 | + | 1273.00i | −0.527028 | + | 0.493846i | ||||
\(189\) | 2057.06 | + | 1237.08i | 0.791689 | + | 0.476106i | ||||
\(190\) | 938.541 | − | 1870.24i | 0.358363 | − | 0.714113i | ||||
\(191\) | − | 643.209i | − | 0.243670i | −0.992550 | − | 0.121835i | \(-0.961122\pi\) | ||
0.992550 | − | 0.121835i | \(-0.0388779\pi\) | |||||||
\(192\) | 42.9794 | − | 2660.08i | 0.0161550 | − | 0.999869i | ||||
\(193\) | 2030.68 | − | 2030.68i | 0.757365 | − | 0.757365i | −0.218477 | − | 0.975842i | \(-0.570109\pi\) |
0.975842 | + | 0.218477i | \(0.0701088\pi\) | |||||||
\(194\) | −1070.31 | + | 1036.08i | −0.396101 | + | 0.383436i | ||||
\(195\) | 3145.68 | − | 1396.69i | 1.15521 | − | 0.512919i | ||||
\(196\) | 13.0641 | − | 401.925i | 0.00476097 | − | 0.146474i | ||||
\(197\) | 2887.31i | 1.04423i | 0.852876 | + | 0.522113i | \(0.174856\pi\) | ||||
−0.852876 | + | 0.522113i | \(0.825144\pi\) | |||||||
\(198\) | −1275.76 | + | 1717.05i | −0.457900 | + | 0.616291i | ||||
\(199\) | 2201.90 | 0.784363 | 0.392181 | − | 0.919888i | \(-0.371721\pi\) | ||||
0.392181 | + | 0.919888i | \(0.371721\pi\) | |||||||
\(200\) | 1653.37 | + | 2294.86i | 0.584554 | + | 0.811355i | ||||
\(201\) | 3171.59 | − | 258.489i | 1.11297 | − | 0.0907084i | ||||
\(202\) | −632.944 | + | 612.705i | −0.220464 | + | 0.213415i | ||||
\(203\) | 4148.54 | 1.43434 | ||||||||
\(204\) | 1372.65 | + | 1244.74i | 0.471102 | + | 0.427203i | ||||
\(205\) | 545.569 | + | 1559.47i | 0.185874 | + | 0.531307i | ||||
\(206\) | −1348.13 | + | 1305.02i | −0.455963 | + | 0.441383i | ||||
\(207\) | −3111.00 | + | 4332.41i | −1.04459 | + | 1.45470i | ||||
\(208\) | 3783.66 | + | 246.227i | 1.26130 | + | 0.0820806i | ||||
\(209\) | −1853.52 | −0.613447 | ||||||||
\(210\) | −2606.85 | − | 1052.68i | −0.856617 | − | 0.345912i | ||||
\(211\) | 697.343 | + | 697.343i | 0.227522 | + | 0.227522i | 0.811657 | − | 0.584135i | \(-0.198566\pi\) |
−0.584135 | + | 0.811657i | \(0.698566\pi\) | |||||||
\(212\) | 4693.45 | + | 152.555i | 1.52051 | + | 0.0494223i | ||||
\(213\) | −376.946 | − | 4625.04i | −0.121258 | − | 1.48780i | ||||
\(214\) | −2039.88 | − | 33.1432i | −0.651605 | − | 0.0105870i | ||||
\(215\) | −393.417 | + | 137.634i | −0.124795 | + | 0.0436585i | ||||
\(216\) | −3114.23 | + | 615.822i | −0.981004 | + | 0.193988i | ||||
\(217\) | −54.9574 | + | 54.9574i | −0.0171924 | + | 0.0171924i | ||||
\(218\) | −3037.21 | − | 3137.54i | −0.943605 | − | 0.974774i | ||||
\(219\) | 3811.62 | − | 4488.05i | 1.17610 | − | 1.38481i | ||||
\(220\) | 1159.94 | − | 2220.68i | 0.355468 | − | 0.680536i | ||||
\(221\) | −1867.39 | + | 1867.39i | −0.568390 | + | 0.568390i | ||||
\(222\) | −742.249 | + | 48.3703i | −0.224399 | + | 0.0146234i | ||||
\(223\) | −2808.43 | + | 2808.43i | −0.843347 | + | 0.843347i | −0.989293 | − | 0.145946i | \(-0.953377\pi\) |
0.145946 | + | 0.989293i | \(0.453377\pi\) | |||||||
\(224\) | −2005.09 | − | 2360.49i | −0.598082 | − | 0.704092i | ||||
\(225\) | 2263.44 | − | 2503.49i | 0.670650 | − | 0.741774i | ||||
\(226\) | 605.220 | − | 585.868i | 0.178136 | − | 0.172440i | ||||
\(227\) | 29.8054 | 0.00871476 | 0.00435738 | − | 0.999991i | \(-0.498613\pi\) | ||||
0.00435738 | + | 0.999991i | \(0.498613\pi\) | |||||||
\(228\) | −2037.65 | − | 1847.78i | −0.591872 | − | 0.536721i | ||||
\(229\) | 630.528 | + | 630.528i | 0.181950 | + | 0.181950i | 0.792205 | − | 0.610255i | \(-0.208933\pi\) |
−0.610255 | + | 0.792205i | \(0.708933\pi\) | |||||||
\(230\) | 2801.85 | − | 5583.29i | 0.803256 | − | 1.60066i | ||||
\(231\) | 202.288 | + | 2482.02i | 0.0576172 | + | 0.706949i | ||||
\(232\) | −4063.93 | + | 3685.91i | −1.15004 | + | 1.04307i | ||||
\(233\) | 3573.90 | − | 3573.90i | 1.00487 | − | 1.00487i | 0.00487911 | − | 0.999988i | \(-0.498447\pi\) |
0.999988 | − | 0.00487911i | \(-0.00155308\pi\) | |||||||
\(234\) | −659.990 | − | 4475.98i | −0.184380 | − | 1.25044i | ||||
\(235\) | −2344.14 | − | 1129.07i | −0.650702 | − | 0.313414i | ||||
\(236\) | −3728.14 | + | 3493.41i | −1.02831 | + | 0.963567i | ||||
\(237\) | −306.276 | + | 24.9619i | −0.0839443 | + | 0.00684156i | ||||
\(238\) | 2156.87 | + | 35.0440i | 0.587433 | + | 0.00954439i | ||||
\(239\) | −4682.73 | −1.26737 | −0.633683 | − | 0.773593i | \(-0.718458\pi\) | ||||
−0.633683 | + | 0.773593i | \(0.718458\pi\) | |||||||
\(240\) | 3488.97 | − | 1284.94i | 0.938384 | − | 0.345594i | ||||
\(241\) | −4684.74 | −1.25216 | −0.626080 | − | 0.779759i | \(-0.715342\pi\) | ||||
−0.626080 | + | 0.779759i | \(0.715342\pi\) | |||||||
\(242\) | 1545.23 | + | 25.1063i | 0.410459 | + | 0.00666899i | ||||
\(243\) | 1498.13 | + | 3479.15i | 0.395495 | + | 0.918468i | ||||
\(244\) | −1918.12 | − | 2047.00i | −0.503259 | − | 0.537073i | ||||
\(245\) | 530.478 | − | 185.584i | 0.138331 | − | 0.0483939i | ||||
\(246\) | 2167.21 | − | 141.231i | 0.561691 | − | 0.0366039i | ||||
\(247\) | 2772.08 | − | 2772.08i | 0.714102 | − | 0.714102i | ||||
\(248\) | 5.00774 | − | 102.665i | 0.00128222 | − | 0.0262873i | ||||
\(249\) | 4121.69 | − | 335.923i | 1.04900 | − | 0.0854949i | ||||
\(250\) | −2157.78 | + | 3311.95i | −0.545880 | + | 0.837864i | ||||
\(251\) | 1070.44 | + | 1070.44i | 0.269186 | + | 0.269186i | 0.828772 | − | 0.559586i | \(-0.189040\pi\) |
−0.559586 | + | 0.828772i | \(0.689040\pi\) | |||||||
\(252\) | −2251.96 | + | 2930.26i | −0.562937 | + | 0.732496i | ||||
\(253\) | −5533.36 | −1.37502 | ||||||||
\(254\) | 4462.28 | − | 4319.60i | 1.10232 | − | 1.06707i | ||||
\(255\) | −930.512 | + | 2416.67i | −0.228513 | + | 0.593482i | ||||
\(256\) | 4061.45 | + | 530.858i | 0.991566 | + | 0.129604i | ||||
\(257\) | −3400.04 | + | 3400.04i | −0.825248 | + | 0.825248i | −0.986855 | − | 0.161608i | \(-0.948332\pi\) |
0.161608 | + | 0.986855i | \(0.448332\pi\) | |||||||
\(258\) | 35.6292 | + | 546.735i | 0.00859759 | + | 0.131931i | ||||
\(259\) | −612.299 | + | 612.299i | −0.146897 | + | 0.146897i | ||||
\(260\) | 1586.41 | + | 5055.97i | 0.378405 | + | 1.20599i | ||||
\(261\) | 5317.72 | + | 3818.53i | 1.26114 | + | 0.905599i | ||||
\(262\) | −907.446 | − | 937.421i | −0.213978 | − | 0.221046i | ||||
\(263\) | 598.812 | − | 598.812i | 0.140397 | − | 0.140397i | −0.633415 | − | 0.773812i | \(-0.718347\pi\) |
0.773812 | + | 0.633415i | \(0.218347\pi\) | |||||||
\(264\) | −2403.41 | − | 2251.68i | −0.560301 | − | 0.524928i | ||||
\(265\) | 2167.14 | + | 6194.62i | 0.502364 | + | 1.43597i | ||||
\(266\) | −3201.80 | − | 52.0217i | −0.738026 | − | 0.0119912i | ||||
\(267\) | 5707.32 | − | 465.154i | 1.30817 | − | 0.106618i | ||||
\(268\) | −159.158 | + | 4896.59i | −0.0362766 | + | 1.11607i | ||||
\(269\) | 1132.05 | + | 1132.05i | 0.256588 | + | 0.256588i | 0.823665 | − | 0.567077i | \(-0.191926\pi\) |
−0.567077 | + | 0.823665i | \(0.691926\pi\) | |||||||
\(270\) | −2372.60 | − | 3748.84i | −0.534785 | − | 0.844988i | ||||
\(271\) | −1721.20 | −0.385813 | −0.192907 | − | 0.981217i | \(-0.561791\pi\) | ||||
−0.192907 | + | 0.981217i | \(0.561791\pi\) | |||||||
\(272\) | −2144.02 | + | 1882.02i | −0.477942 | + | 0.419537i | ||||
\(273\) | −4014.60 | − | 3409.52i | −0.890016 | − | 0.755874i | ||||
\(274\) | 5515.85 | − | 5339.48i | 1.21615 | − | 1.17726i | ||||
\(275\) | 3479.29 | + | 392.476i | 0.762942 | + | 0.0860626i | ||||
\(276\) | −6083.07 | − | 5516.23i | −1.32666 | − | 1.20304i | ||||
\(277\) | 385.792 | 0.0836823 | 0.0418412 | − | 0.999124i | \(-0.486678\pi\) | ||||
0.0418412 | + | 0.999124i | \(0.486678\pi\) | |||||||
\(278\) | −808.977 | + | 783.109i | −0.174529 | + | 0.168949i | ||||
\(279\) | −121.032 | + | 19.8604i | −0.0259713 | + | 0.00426169i | ||||
\(280\) | 2066.02 | − | 3803.48i | 0.440959 | − | 0.811791i | ||||
\(281\) | −5664.91 | −1.20263 | −0.601317 | − | 0.799011i | \(-0.705357\pi\) | ||||
−0.601317 | + | 0.799011i | \(0.705357\pi\) | |||||||
\(282\) | −2256.10 | + | 2570.65i | −0.476414 | + | 0.542836i | ||||
\(283\) | − | 5474.60i | − | 1.14993i | −0.818177 | − | 0.574967i | \(-0.805015\pi\) | ||
0.818177 | − | 0.574967i | \(-0.194985\pi\) | |||||||
\(284\) | 7140.55 | + | 232.095i | 1.49195 | + | 0.0484941i | ||||
\(285\) | 1381.31 | − | 3587.47i | 0.287095 | − | 0.745626i | ||||
\(286\) | 3372.47 | − | 3264.63i | 0.697267 | − | 0.674971i | ||||
\(287\) | 1787.78 | − | 1787.78i | 0.367698 | − | 0.367698i | ||||
\(288\) | −397.463 | − | 4871.33i | −0.0813220 | − | 0.996688i | ||||
\(289\) | 2925.99i | 0.595560i | ||||||||
\(290\) | −6853.08 | − | 3439.08i | −1.38768 | − | 0.696377i | ||||
\(291\) | −1771.51 | + | 2085.90i | −0.356866 | + | 0.420198i | ||||
\(292\) | 6198.64 | + | 6615.14i | 1.24229 | + | 1.32576i | ||||
\(293\) | −6164.62 | −1.22915 | −0.614575 | − | 0.788858i | \(-0.710673\pi\) | ||||
−0.614575 | + | 0.788858i | \(0.710673\pi\) | |||||||
\(294\) | −48.0419 | − | 737.209i | −0.00953014 | − | 0.146241i | ||||
\(295\) | −6432.89 | − | 3098.43i | −1.26962 | − | 0.611517i | ||||
\(296\) | 55.7929 | − | 1143.83i | 0.0109557 | − | 0.224608i | ||||
\(297\) | −2025.29 | + | 3367.73i | −0.395687 | + | 0.657965i | ||||
\(298\) | 1885.76 | + | 1948.05i | 0.366574 | + | 0.378683i | ||||
\(299\) | 8275.57 | − | 8275.57i | 1.60063 | − | 1.60063i | ||||
\(300\) | 3433.67 | + | 3899.99i | 0.660811 | + | 0.750553i | ||||
\(301\) | 451.015 | + | 451.015i | 0.0863657 | + | 0.0863657i | ||||
\(302\) | 2933.66 | + | 47.6651i | 0.558985 | + | 0.00908218i | ||||
\(303\) | −1047.61 | + | 1233.53i | −0.198627 | + | 0.233876i | ||||
\(304\) | 3182.72 | − | 2793.79i | 0.600466 | − | 0.527089i | ||||
\(305\) | 1701.25 | − | 3532.09i | 0.319387 | − | 0.663105i | ||||
\(306\) | 2732.48 | + | 2030.22i | 0.510476 | + | 0.379280i | ||||
\(307\) | − | 3478.10i | − | 0.646599i | −0.946297 | − | 0.323299i | \(-0.895208\pi\) | ||
0.946297 | − | 0.323299i | \(-0.104792\pi\) | |||||||
\(308\) | −3831.97 | − | 124.554i | −0.708919 | − | 0.0230426i | ||||
\(309\) | −2231.34 | + | 2627.33i | −0.410798 | + | 0.483701i | ||||
\(310\) | 136.345 | − | 45.2268i | 0.0249802 | − | 0.00828616i | ||||
\(311\) | 1592.03 | 0.290275 | 0.145138 | − | 0.989411i | \(-0.453637\pi\) | ||||
0.145138 | + | 0.989411i | \(0.453637\pi\) | |||||||
\(312\) | 6962.03 | − | 226.923i | 1.26329 | − | 0.0411763i | ||||
\(313\) | −3472.92 | − | 3472.92i | −0.627160 | − | 0.627160i | 0.320192 | − | 0.947353i | \(-0.396252\pi\) |
−0.947353 | + | 0.320192i | \(0.896252\pi\) | |||||||
\(314\) | −4463.85 | − | 72.5270i | −0.802261 | − | 0.0130348i | ||||
\(315\) | −4954.70 | − | 1458.17i | −0.886240 | − | 0.260822i | ||||
\(316\) | 15.3697 | − | 472.857i | 0.00273611 | − | 0.0841782i | ||||
\(317\) | 10934.8 | 1.93742 | 0.968708 | − | 0.248201i | \(-0.0798395\pi\) | ||||
0.968708 | + | 0.248201i | \(0.0798395\pi\) | |||||||
\(318\) | 8608.71 | − | 561.006i | 1.51809 | − | 0.0989298i | ||||
\(319\) | 6791.80i | 1.19206i | ||||||||
\(320\) | 1355.45 | + | 5561.54i | 0.236787 | + | 0.971562i | ||||
\(321\) | −3735.61 | + | 304.457i | −0.649537 | + | 0.0529380i | ||||
\(322\) | −9558.43 | − | 155.302i | −1.65426 | − | 0.0268777i | ||||
\(323\) | 2949.65i | 0.508121i | ||||||||
\(324\) | −5583.80 | + | 1683.28i | −0.957441 | + | 0.288628i | ||||
\(325\) | −5790.52 | + | 4616.56i | −0.988309 | + | 0.787941i | ||||
\(326\) | 23.5613 | − | 1450.14i | 0.00400288 | − | 0.246367i | ||||
\(327\) | −6114.66 | − | 5193.07i | −1.03407 | − | 0.878219i | ||||
\(328\) | −162.903 | + | 3339.74i | −0.0274232 | + | 0.562214i | ||||
\(329\) | 3981.70i | 0.667229i | ||||||||
\(330\) | 1723.40 | − | 4267.82i | 0.287484 | − | 0.711926i | ||||
\(331\) | −6256.45 | + | 6256.45i | −1.03893 | + | 1.03893i | −0.0397188 | + | 0.999211i | \(0.512646\pi\) |
−0.999211 | + | 0.0397188i | \(0.987354\pi\) | |||||||
\(332\) | −206.836 | + | 6363.44i | −0.0341916 | + | 1.05192i | ||||
\(333\) | −1348.46 | + | 221.271i | −0.221907 | + | 0.0364132i | ||||
\(334\) | −8684.56 | + | 8406.86i | −1.42275 | + | 1.37725i | ||||
\(335\) | −6462.74 | + | 2260.94i | −1.05402 | + | 0.368741i | ||||
\(336\) | −4088.49 | − | 3957.04i | −0.663826 | − | 0.642483i | ||||
\(337\) | −4610.30 | − | 4610.30i | −0.745219 | − | 0.745219i | 0.228358 | − | 0.973577i | \(-0.426664\pi\) |
−0.973577 | + | 0.228358i | \(0.926664\pi\) | |||||||
\(338\) | −60.3284 | + | 3713.06i | −0.00970838 | + | 0.597526i | ||||
\(339\) | 1001.73 | − | 1179.50i | 0.160491 | − | 0.188972i | ||||
\(340\) | −3533.94 | − | 1845.90i | −0.563691 | − | 0.294436i | ||||
\(341\) | −89.9738 | − | 89.9738i | −0.0142884 | − | 0.0142884i | ||||
\(342\) | −4056.28 | − | 3013.79i | −0.641341 | − | 0.476512i | ||||
\(343\) | −4757.82 | − | 4757.82i | −0.748975 | − | 0.748975i | ||||
\(344\) | −842.538 | − | 41.0967i | −0.132054 | − | 0.00644123i | ||||
\(345\) | 4123.68 | − | 10709.8i | 0.643511 | − | 1.67129i | ||||
\(346\) | −6142.82 | − | 99.8063i | −0.954452 | − | 0.0155076i | ||||
\(347\) | 3684.80i | 0.570058i | 0.958519 | + | 0.285029i | \(0.0920033\pi\) | ||||
−0.958519 | + | 0.285029i | \(0.907997\pi\) | |||||||
\(348\) | −6770.78 | + | 7466.53i | −1.04297 | + | 1.15014i | ||||
\(349\) | 644.226 | − | 644.226i | 0.0988098 | − | 0.0988098i | −0.655974 | − | 0.754784i | \(-0.727742\pi\) |
0.754784 | + | 0.655974i | \(0.227742\pi\) | |||||||
\(350\) | 5999.17 | + | 775.622i | 0.916197 | + | 0.118454i | ||||
\(351\) | −2007.73 | − | 8065.68i | −0.305312 | − | 1.22654i | ||||
\(352\) | 3864.49 | − | 3282.64i | 0.585164 | − | 0.497060i | ||||
\(353\) | −2082.19 | − | 2082.19i | −0.313949 | − | 0.313949i | 0.532488 | − | 0.846437i | \(-0.321257\pi\) |
−0.846437 | + | 0.532488i | \(0.821257\pi\) | |||||||
\(354\) | −6191.28 | + | 7054.47i | −0.929556 | + | 1.05916i | ||||
\(355\) | 3297.06 | + | 9424.40i | 0.492929 | + | 1.40900i | ||||
\(356\) | −286.407 | + | 8811.48i | −0.0426392 | + | 1.31182i | ||||
\(357\) | 3949.85 | − | 321.917i | 0.585569 | − | 0.0477245i | ||||
\(358\) | −2550.67 | + | 2469.11i | −0.376556 | + | 0.364516i | ||||
\(359\) | 10742.3i | 1.57927i | 0.613574 | + | 0.789637i | \(0.289731\pi\) | ||||
−0.613574 | + | 0.789637i | \(0.710269\pi\) | |||||||
\(360\) | 6149.22 | − | 2973.74i | 0.900256 | − | 0.435361i | ||||
\(361\) | 2480.34i | 0.361618i | ||||||||
\(362\) | 3076.18 | + | 3177.79i | 0.446630 | + | 0.461384i | ||||
\(363\) | 2829.76 | − | 230.629i | 0.409157 | − | 0.0333468i | ||||
\(364\) | 5917.29 | − | 5544.73i | 0.852061 | − | 0.798414i | ||||
\(365\) | −5497.79 | + | 11414.4i | −0.788404 | + | 1.63687i | ||||
\(366\) | −3873.38 | − | 3399.43i | −0.553183 | − | 0.485495i | ||||
\(367\) | 9240.41 | + | 9240.41i | 1.31429 | + | 1.31429i | 0.918218 | + | 0.396075i | \(0.129628\pi\) |
0.396075 | + | 0.918218i | \(0.370372\pi\) | |||||||
\(368\) | 9501.47 | − | 8340.39i | 1.34592 | − | 1.18145i | ||||
\(369\) | 3937.20 | − | 646.065i | 0.555454 | − | 0.0911457i | ||||
\(370\) | 1519.06 | − | 503.887i | 0.213438 | − | 0.0707996i | ||||
\(371\) | 7101.54 | − | 7101.54i | 0.993783 | − | 0.993783i | ||||
\(372\) | −9.21686 | − | 188.608i | −0.00128460 | − | 0.0262872i | ||||
\(373\) | − | 9261.14i | − | 1.28559i | −0.766040 | − | 0.642793i | \(-0.777776\pi\) | ||
0.766040 | − | 0.642793i | \(-0.222224\pi\) | |||||||
\(374\) | −57.3725 | + | 3531.13i | −0.00793225 | + | 0.488210i | ||||
\(375\) | −3352.54 | + | 6441.65i | −0.461665 | + | 0.887055i | ||||
\(376\) | −3537.68 | − | 3900.50i | −0.485219 | − | 0.534981i | ||||
\(377\) | −10157.7 | − | 10157.7i | −1.38766 | − | 1.38766i | ||||
\(378\) | −3593.04 | + | 5760.64i | −0.488905 | + | 0.783850i | ||||
\(379\) | 3768.87 | + | 3768.87i | 0.510802 | + | 0.510802i | 0.914772 | − | 0.403970i | \(-0.132370\pi\) |
−0.403970 | + | 0.914772i | \(0.632370\pi\) | |||||||
\(380\) | 5246.02 | + | 2740.18i | 0.708197 | + | 0.369917i | ||||
\(381\) | 7385.72 | − | 8696.43i | 0.993128 | − | 1.16937i | ||||
\(382\) | 1819.03 | + | 29.5549i | 0.243638 | + | 0.00395854i | ||||
\(383\) | 2537.82 | + | 2537.82i | 0.338581 | + | 0.338581i | 0.855833 | − | 0.517252i | \(-0.173045\pi\) |
−0.517252 | + | 0.855833i | \(0.673045\pi\) | |||||||
\(384\) | 7520.88 | + | 243.777i | 0.999475 | + | 0.0323963i | ||||
\(385\) | −1769.37 | − | 5057.60i | −0.234221 | − | 0.669505i | ||||
\(386\) | 5649.56 | + | 5836.18i | 0.744962 | + | 0.769569i | ||||
\(387\) | 162.987 | + | 993.264i | 0.0214085 | + | 0.130466i | ||||
\(388\) | −2880.92 | − | 3074.50i | −0.376950 | − | 0.402278i | ||||
\(389\) | −5012.14 | + | 5012.14i | −0.653279 | + | 0.653279i | −0.953781 | − | 0.300502i | \(-0.902846\pi\) |
0.300502 | + | 0.953781i | \(0.402846\pi\) | |||||||
\(390\) | 3805.38 | + | 8960.32i | 0.494084 | + | 1.16339i | ||||
\(391\) | 8805.68i | 1.13893i | ||||||||
\(392\) | 1136.06 | + | 55.4141i | 0.146377 | + | 0.00713988i | ||||
\(393\) | −1826.92 | − | 1551.57i | −0.234493 | − | 0.199150i | ||||
\(394\) | −8165.48 | − | 132.670i | −1.04409 | − | 0.0169640i | ||||
\(395\) | 624.098 | − | 218.336i | 0.0794981 | − | 0.0278118i | ||||
\(396\) | −4797.30 | − | 3686.81i | −0.608771 | − | 0.467851i | ||||
\(397\) | − | 12370.9i | − | 1.56392i | −0.623327 | − | 0.781961i | \(-0.714220\pi\) | ||
0.623327 | − | 0.781961i | \(-0.285780\pi\) | |||||||
\(398\) | −101.175 | + | 6227.08i | −0.0127424 | + | 0.784259i | ||||
\(399\) | −5863.42 | + | 477.875i | −0.735684 | + | 0.0599591i | ||||
\(400\) | −6565.95 | + | 4570.37i | −0.820744 | + | 0.571296i | ||||
\(401\) | 1140.40i | 0.142017i | 0.997476 | + | 0.0710086i | \(0.0226218\pi\) | ||||
−0.997476 | + | 0.0710086i | \(0.977378\pi\) | |||||||
\(402\) | 585.288 | + | 8981.31i | 0.0726157 | + | 1.11430i | ||||
\(403\) | 269.126 | 0.0332658 | ||||||||
\(404\) | −1703.68 | − | 1818.15i | −0.209805 | − | 0.223902i | ||||
\(405\) | −5008.90 | − | 6429.70i | −0.614554 | − | 0.788875i | ||||
\(406\) | −190.622 | + | 11732.3i | −0.0233015 | + | 1.43415i | ||||
\(407\) | −1002.43 | − | 1002.43i | −0.122085 | − | 0.122085i | ||||
\(408\) | −3583.27 | + | 3824.73i | −0.434800 | + | 0.464099i | ||||
\(409\) | 3525.03 | 0.426165 | 0.213083 | − | 0.977034i | \(-0.431650\pi\) | ||||
0.213083 | + | 0.977034i | \(0.431650\pi\) | |||||||
\(410\) | −4435.33 | + | 1471.24i | −0.534257 | + | 0.177218i | ||||
\(411\) | 9129.53 | − | 10749.7i | 1.09568 | − | 1.29013i | ||||
\(412\) | −3628.72 | − | 3872.54i | −0.433918 | − | 0.463073i | ||||
\(413\) | 10926.7i | 1.30186i | ||||||||
\(414\) | −12109.3 | − | 8997.15i | −1.43754 | − | 1.06808i | ||||
\(415\) | −8398.74 | + | 2938.24i | −0.993441 | + | 0.347548i | ||||
\(416\) | −870.199 | + | 10689.1i | −0.102560 | + | 1.25980i | ||||
\(417\) | −1338.97 | + | 1576.59i | −0.157242 | + | 0.185147i | ||||
\(418\) | 85.1676 | − | 5241.85i | 0.00996575 | − | 0.613366i | ||||
\(419\) | 6722.14 | + | 6722.14i | 0.783766 | + | 0.783766i | 0.980464 | − | 0.196698i | \(-0.0630219\pi\) |
−0.196698 | + | 0.980464i | \(0.563022\pi\) | |||||||
\(420\) | 3096.81 | − | 7323.94i | 0.359783 | − | 0.850885i | ||||
\(421\) | 3916.97 | − | 3916.97i | 0.453448 | − | 0.453448i | −0.443049 | − | 0.896497i | \(-0.646103\pi\) |
0.896497 | + | 0.443049i | \(0.146103\pi\) | |||||||
\(422\) | −2004.17 | + | 1940.08i | −0.231188 | + | 0.223795i | ||||
\(423\) | −3664.97 | + | 5103.87i | −0.421269 | + | 0.586663i | ||||
\(424\) | −647.094 | + | 13266.3i | −0.0741172 | + | 1.51950i | ||||
\(425\) | 624.580 | − | 5536.87i | 0.0712860 | − | 0.631948i | ||||
\(426\) | 13097.2 | − | 853.507i | 1.48958 | − | 0.0970717i | ||||
\(427\) | −5999.52 | −0.679947 | ||||||||
\(428\) | 187.462 | − | 5767.37i | 0.0211713 | − | 0.651347i | ||||
\(429\) | 5581.92 | − | 6572.52i | 0.628200 | − | 0.739684i | ||||
\(430\) | −371.160 | − | 1118.93i | −0.0416254 | − | 0.125487i | ||||
\(431\) | − | 17368.6i | − | 1.94111i | −0.240881 | − | 0.970555i | \(-0.577436\pi\) | ||
0.240881 | − | 0.970555i | \(-0.422564\pi\) | |||||||
\(432\) | −1598.48 | − | 8835.52i | −0.178026 | − | 0.984026i | ||||
\(433\) | −548.998 | + | 548.998i | −0.0609310 | + | 0.0609310i | −0.736916 | − | 0.675985i | \(-0.763719\pi\) |
0.675985 | + | 0.736916i | \(0.263719\pi\) | |||||||
\(434\) | −152.897 | − | 157.948i | −0.0169108 | − | 0.0174694i | ||||
\(435\) | −13145.5 | − | 5061.52i | −1.44892 | − | 0.557888i | ||||
\(436\) | 9012.68 | − | 8445.23i | 0.989975 | − | 0.927645i | ||||
\(437\) | − | 13071.7i | − | 1.43091i | ||||||
\(438\) | 12517.3 | + | 10985.7i | 1.36553 | + | 1.19844i | ||||
\(439\) | 4146.12 | 0.450760 | 0.225380 | − | 0.974271i | \(-0.427638\pi\) | ||||
0.225380 | + | 0.974271i | \(0.427638\pi\) | |||||||
\(440\) | 6226.89 | + | 3382.40i | 0.674671 | + | 0.366477i | ||||
\(441\) | −219.769 | − | 1339.30i | −0.0237306 | − | 0.144617i | ||||
\(442\) | −5195.27 | − | 5366.88i | −0.559081 | − | 0.577549i | ||||
\(443\) | −2878.14 | −0.308678 | −0.154339 | − | 0.988018i | \(-0.549325\pi\) | ||||
−0.154339 | + | 0.988018i | \(0.549325\pi\) | |||||||
\(444\) | −102.688 | − | 2101.34i | −0.0109760 | − | 0.224607i | ||||
\(445\) | −11629.8 | + | 4068.59i | −1.23889 | + | 0.433415i | ||||
\(446\) | −7813.34 | − | 8071.43i | −0.829535 | − | 0.856936i | ||||
\(447\) | 3796.50 | + | 3224.30i | 0.401719 | + | 0.341173i | ||||
\(448\) | 6767.72 | − | 5562.03i | 0.713716 | − | 0.586565i | ||||
\(449\) | −7484.71 | −0.786693 | −0.393347 | − | 0.919390i | \(-0.628683\pi\) | ||||
−0.393347 | + | 0.919390i | \(0.628683\pi\) | |||||||
\(450\) | 6976.00 | + | 6516.17i | 0.730781 | + | 0.682612i | ||||
\(451\) | 2926.88 | + | 2926.88i | 0.305590 | + | 0.305590i | ||||
\(452\) | 1629.06 | + | 1738.52i | 0.169523 | + | 0.180913i | ||||
\(453\) | 5372.38 | − | 437.856i | 0.557211 | − | 0.0454134i | ||||
\(454\) | −1.36953 | + | 84.2912i | −0.000141576 | + | 0.00871361i | ||||
\(455\) | 10210.3 | + | 4917.81i | 1.05201 | + | 0.506705i | ||||
\(456\) | 5319.25 | − | 5677.69i | 0.546265 | − | 0.583075i | ||||
\(457\) | 10778.2 | − | 10778.2i | 1.10325 | − | 1.10325i | 0.109232 | − | 0.994016i | \(-0.465161\pi\) |
0.994016 | − | 0.109232i | \(-0.0348391\pi\) | |||||||
\(458\) | −1812.14 | + | 1754.20i | −0.184882 | + | 0.178970i | ||||
\(459\) | 5359.35 | + | 3223.00i | 0.544995 | + | 0.327749i | ||||
\(460\) | 15661.1 | + | 8180.34i | 1.58740 | + | 0.829153i | ||||
\(461\) | −1423.78 | + | 1423.78i | −0.143844 | + | 0.143844i | −0.775362 | − | 0.631517i | \(-0.782432\pi\) |
0.631517 | + | 0.775362i | \(0.282432\pi\) | |||||||
\(462\) | −7028.59 | + | 458.034i | −0.707792 | + | 0.0461248i | ||||
\(463\) | 11918.9 | − | 11918.9i | 1.19637 | − | 1.19637i | 0.221128 | − | 0.975245i | \(-0.429026\pi\) |
0.975245 | − | 0.221128i | \(-0.0709738\pi\) | |||||||
\(464\) | −10237.2 | − | 11662.4i | −1.02425 | − | 1.16684i | ||||
\(465\) | 241.196 | − | 107.092i | 0.0240542 | − | 0.0106801i | ||||
\(466\) | 9942.97 | + | 10271.4i | 0.988410 | + | 1.02106i | ||||
\(467\) | −1747.04 | −0.173113 | −0.0865563 | − | 0.996247i | \(-0.527586\pi\) | ||||
−0.0865563 | + | 0.996247i | \(0.527586\pi\) | |||||||
\(468\) | 12688.6 | − | 1660.82i | 1.25327 | − | 0.164042i | ||||
\(469\) | 7408.90 | + | 7408.90i | 0.729449 | + | 0.729449i | ||||
\(470\) | 3300.77 | − | 6577.49i | 0.323943 | − | 0.645525i | ||||
\(471\) | −8174.60 | + | 666.240i | −0.799715 | + | 0.0651777i | ||||
\(472\) | −9708.26 | − | 10703.9i | −0.946735 | − | 1.04383i | ||||
\(473\) | −738.382 | + | 738.382i | −0.0717777 | + | 0.0717777i | ||||
\(474\) | −56.5204 | − | 867.313i | −0.00547694 | − | 0.0840443i | ||||
\(475\) | −927.168 | + | 8219.30i | −0.0895608 | + | 0.793953i | ||||
\(476\) | −198.213 | + | 6098.13i | −0.0190863 | + | 0.587200i | ||||
\(477\) | 15639.6 | − | 2566.34i | 1.50123 | − | 0.246341i | ||||
\(478\) | 215.168 | − | 13243.0i | 0.0205890 | − | 1.26720i | ||||
\(479\) | −12209.3 | −1.16463 | −0.582317 | − | 0.812962i | \(-0.697854\pi\) | ||||
−0.582317 | + | 0.812962i | \(0.697854\pi\) | |||||||
\(480\) | 3473.56 | + | 9926.04i | 0.330304 | + | 0.943875i | ||||
\(481\) | 2998.42 | 0.284233 | ||||||||
\(482\) | 215.260 | − | 13248.7i | 0.0203419 | − | 1.25199i | ||||
\(483\) | −17504.2 | + | 1426.62i | −1.64901 | + | 0.134396i | ||||
\(484\) | −142.004 | + | 4368.84i | −0.0133362 | + | 0.410297i | ||||
\(485\) | 2555.19 | − | 5305.03i | 0.239227 | − | 0.496679i | ||||
\(486\) | −9908.07 | + | 4076.94i | −0.924772 | + | 0.380522i | ||||
\(487\) | 11818.1 | − | 11818.1i | 1.09965 | − | 1.09965i | 0.105194 | − | 0.994452i | \(-0.466454\pi\) |
0.994452 | − | 0.105194i | \(-0.0335463\pi\) | |||||||
\(488\) | 5877.17 | − | 5330.49i | 0.545178 | − | 0.494467i | ||||
\(489\) | −216.436 | − | 2655.61i | −0.0200155 | − | 0.245585i | ||||
\(490\) | 500.466 | + | 1508.75i | 0.0461403 | + | 0.139098i | ||||
\(491\) | −9459.47 | − | 9459.47i | −0.869450 | − | 0.869450i | 0.122962 | − | 0.992411i | \(-0.460761\pi\) |
−0.992411 | + | 0.122962i | \(0.960761\pi\) | |||||||
\(492\) | 299.827 | + | 6135.46i | 0.0274741 | + | 0.562211i | ||||
\(493\) | 10808.3 | 0.987390 | ||||||||
\(494\) | 7712.21 | + | 7966.96i | 0.702406 | + | 0.725608i | ||||
\(495\) | 2387.26 | − | 8111.61i | 0.216766 | − | 0.736545i | ||||
\(496\) | 290.113 | + | 18.8795i | 0.0262630 | + | 0.00170911i | ||||
\(497\) | 10804.2 | − | 10804.2i | 0.975118 | − | 0.975118i | ||||
\(498\) | 760.619 | + | 11671.8i | 0.0684421 | + | 1.05025i | ||||
\(499\) | −3424.69 | + | 3424.69i | −0.307235 | + | 0.307235i | −0.843836 | − | 0.536601i | \(-0.819708\pi\) |
0.536601 | + | 0.843836i | \(0.319708\pi\) | |||||||
\(500\) | −9267.22 | − | 6254.50i | −0.828885 | − | 0.559419i | ||||
\(501\) | −14374.2 | + | 16925.1i | −1.28182 | + | 1.50930i | ||||
\(502\) | −3076.45 | + | 2978.08i | −0.273523 | + | 0.264777i | ||||
\(503\) | 12559.8 | − | 12559.8i | 1.11335 | − | 1.11335i | 0.120652 | − | 0.992695i | \(-0.461502\pi\) |
0.992695 | − | 0.120652i | \(-0.0384985\pi\) | |||||||
\(504\) | −8183.46 | − | 6503.30i | −0.723255 | − | 0.574762i | ||||
\(505\) | 1511.05 | − | 3137.22i | 0.133151 | − | 0.276444i | ||||
\(506\) | 254.253 | − | 15648.6i | 0.0223378 | − | 1.37484i | ||||
\(507\) | 554.182 | + | 6799.68i | 0.0485446 | + | 0.595630i | ||||
\(508\) | 12011.0 | + | 12818.1i | 1.04902 | + | 1.11951i | ||||
\(509\) | −11729.1 | − | 11729.1i | −1.02138 | − | 1.02138i | −0.999766 | − | 0.0216166i | \(-0.993119\pi\) |
−0.0216166 | − | 0.999766i | \(-0.506881\pi\) | |||||||
\(510\) | −6791.73 | − | 2742.58i | −0.589692 | − | 0.238125i | ||||
\(511\) | 19388.2 | 1.67844 | ||||||||
\(512\) | −1687.92 | + | 11461.6i | −0.145695 | + | 0.989330i | ||||
\(513\) | −7955.77 | − | 4784.44i | −0.684709 | − | 0.411771i | ||||
\(514\) | −9459.27 | − | 9771.72i | −0.811732 | − | 0.838545i | ||||
\(515\) | 3218.43 | − | 6682.04i | 0.275381 | − | 0.571740i | ||||
\(516\) | −1547.83 | + | 75.6394i | −0.132053 | + | 0.00645317i | ||||
\(517\) | −6518.67 | −0.554528 | ||||||||
\(518\) | −1703.48 | − | 1759.75i | −0.144492 | − | 0.149264i | ||||
\(519\) | −11249.3 | + | 916.830i | −0.951423 | + | 0.0775421i | ||||
\(520\) | −14371.4 | + | 4254.15i | −1.21198 | + | 0.358763i | ||||
\(521\) | 9692.38 | 0.815030 | 0.407515 | − | 0.913198i | \(-0.366395\pi\) | ||||
0.407515 | + | 0.913198i | \(0.366395\pi\) | |||||||
\(522\) | −11043.4 | + | 14863.3i | −0.925967 | + | 1.24627i | ||||
\(523\) | − | 8511.88i | − | 0.711660i | −0.934551 | − | 0.355830i | \(-0.884198\pi\) | ||
0.934551 | − | 0.355830i | \(-0.115802\pi\) | |||||||
\(524\) | 2692.77 | − | 2523.23i | 0.224493 | − | 0.210359i | ||||
\(525\) | 11107.6 | + | 344.527i | 0.923379 | + | 0.0286408i | ||||
\(526\) | 1665.96 | + | 1720.99i | 0.138097 | + | 0.142659i | ||||
\(527\) | −143.183 | + | 143.183i | −0.0118352 | + | 0.0118352i | ||||
\(528\) | 6478.29 | − | 6693.50i | 0.533961 | − | 0.551699i | ||||
\(529\) | − | 26856.5i | − | 2.20732i | ||||||
\(530\) | −17618.3 | + | 5844.16i | −1.44394 | + | 0.478970i | ||||
\(531\) | −10057.6 | + | 14006.2i | −0.821960 | + | 1.14467i | ||||
\(532\) | 294.240 | − | 9052.47i | 0.0239792 | − | 0.737734i | ||||
\(533\) | −8754.74 | −0.711463 | ||||||||
\(534\) | 1053.23 | + | 16162.0i | 0.0853518 | + | 1.30973i | ||||
\(535\) | 7612.03 | − | 2663.01i | 0.615134 | − | 0.215200i | ||||
\(536\) | −13840.5 | − | 675.102i | −1.11533 | − | 0.0544029i | ||||
\(537\) | −4221.73 | + | 4970.94i | −0.339257 | + | 0.399463i | ||||
\(538\) | −3253.51 | + | 3149.48i | −0.260723 | + | 0.252386i | ||||
\(539\) | 995.623 | − | 995.623i | 0.0795631 | − | 0.0795631i | ||||
\(540\) | 10710.9 | − | 6537.58i | 0.853565 | − | 0.520987i | ||||
\(541\) | 15101.0 | + | 15101.0i | 1.20008 | + | 1.20008i | 0.974142 | + | 0.225939i | \(0.0725449\pi\) |
0.225939 | + | 0.974142i | \(0.427455\pi\) | |||||||
\(542\) | 79.0877 | − | 4867.65i | 0.00626773 | − | 0.385763i | ||||
\(543\) | 6193.11 | + | 5259.70i | 0.489451 | + | 0.415682i | ||||
\(544\) | −5223.93 | − | 6149.87i | −0.411717 | − | 0.484694i | ||||
\(545\) | 15551.3 | + | 7490.36i | 1.22229 | + | 0.588719i | ||||
\(546\) | 9826.78 | − | 11196.8i | 0.770233 | − | 0.877619i | ||||
\(547\) | 17615.2i | 1.37691i | 0.725277 | + | 0.688457i | \(0.241712\pi\) | ||||
−0.725277 | + | 0.688457i | \(0.758288\pi\) | |||||||
\(548\) | 14846.9 | + | 15844.5i | 1.15735 | + | 1.23511i | ||||
\(549\) | −7690.38 | − | 5522.28i | −0.597846 | − | 0.429299i | ||||
\(550\) | −1269.81 | + | 9821.58i | −0.0984456 | + | 0.761443i | ||||
\(551\) | −16044.6 | −1.24052 | ||||||||
\(552\) | 15879.7 | − | 16949.8i | 1.22443 | − | 1.30694i | ||||
\(553\) | −715.468 | − | 715.468i | −0.0550177 | − | 0.0550177i | ||||
\(554\) | −17.7268 | + | 1091.04i | −0.00135946 | + | 0.0836713i | ||||
\(555\) | 2687.25 | − | 1193.15i | 0.205527 | − | 0.0912545i | ||||
\(556\) | −2177.50 | − | 2323.81i | −0.166091 | − | 0.177251i | ||||
\(557\) | −13443.0 | −1.02262 | −0.511310 | − | 0.859397i | \(-0.670839\pi\) | ||||
−0.511310 | + | 0.859397i | \(0.670839\pi\) | |||||||
\(558\) | −50.6049 | − | 343.197i | −0.00383921 | − | 0.0260371i | ||||
\(559\) | − | 2208.62i | − | 0.167110i | ||||||
\(560\) | 10661.5 | + | 6017.59i | 0.804520 | + | 0.454089i | ||||
\(561\) | 527.029 | + | 6466.52i | 0.0396634 | + | 0.486661i | ||||
\(562\) | 260.298 | − | 16020.7i | 0.0195374 | − | 1.20247i | ||||
\(563\) | − | 7484.67i | − | 0.560286i | −0.959958 | − | 0.280143i | \(-0.909618\pi\) | ||
0.959958 | − | 0.280143i | \(-0.0903819\pi\) | |||||||
\(564\) | −7166.26 | − | 6498.49i | −0.535025 | − | 0.485170i | ||||
\(565\) | −1444.87 | + | 2999.80i | −0.107586 | + | 0.223367i | ||||
\(566\) | 15482.5 | + | 251.553i | 1.14978 | + | 0.0186812i | ||||
\(567\) | −5538.52 | + | 11175.6i | −0.410222 | + | 0.827748i | ||||
\(568\) | −984.480 | + | 20183.2i | −0.0727251 | + | 1.49096i | ||||
\(569\) | 18031.5i | 1.32850i | 0.747509 | + | 0.664251i | \(0.231250\pi\) | ||||
−0.747509 | + | 0.664251i | \(0.768750\pi\) | |||||||
\(570\) | 10082.1 | + | 4071.27i | 0.740864 | + | 0.299170i | ||||
\(571\) | 10264.7 | − | 10264.7i | 0.752299 | − | 0.752299i | −0.222609 | − | 0.974908i | \(-0.571457\pi\) |
0.974908 | + | 0.222609i | \(0.0714572\pi\) | |||||||
\(572\) | 9077.59 | + | 9687.53i | 0.663555 | + | 0.708140i | ||||
\(573\) | 3331.17 | − | 271.494i | 0.242865 | − | 0.0197938i | ||||
\(574\) | 4973.79 | + | 5138.09i | 0.361676 | + | 0.373623i | ||||
\(575\) | −2767.90 | + | 24537.3i | −0.200747 | + | 1.77961i | ||||
\(576\) | 13794.7 | − | 900.213i | 0.997877 | − | 0.0651196i | ||||
\(577\) | 324.169 | + | 324.169i | 0.0233888 | + | 0.0233888i | 0.718704 | − | 0.695316i | \(-0.244735\pi\) |
−0.695316 | + | 0.718704i | \(0.744735\pi\) | |||||||
\(578\) | −8274.85 | − | 134.447i | −0.595482 | − | 0.00967517i | ||||
\(579\) | 11374.0 | + | 9659.71i | 0.816385 | + | 0.693340i | ||||
\(580\) | 10040.8 | − | 19222.9i | 0.718829 | − | 1.37618i | ||||
\(581\) | 9628.35 | + | 9628.35i | 0.687524 | + | 0.687524i | ||||
\(582\) | −5817.63 | − | 5105.78i | −0.414345 | − | 0.363645i | ||||
\(583\) | 11626.3 | + | 11626.3i | 0.825923 | + | 0.825923i | ||||
\(584\) | −18992.8 | + | 17226.1i | −1.34577 | + | 1.22059i | ||||
\(585\) | 8561.21 | + | 15701.9i | 0.605064 | + | 1.10973i | ||||
\(586\) | 283.259 | − | 17433.9i | 0.0199681 | − | 1.22899i | ||||
\(587\) | − | 7827.96i | − | 0.550417i | −0.961385 | − | 0.275208i | \(-0.911253\pi\) | ||
0.961385 | − | 0.275208i | \(-0.0887468\pi\) | |||||||
\(588\) | 2087.07 | − | 101.991i | 0.146377 | − | 0.00715312i | ||||
\(589\) | 212.550 | − | 212.550i | 0.0148692 | − | 0.0148692i | ||||
\(590\) | 9058.11 | − | 18050.2i | 0.632062 | − | 1.25952i | ||||
\(591\) | −14953.3 | + | 1218.71i | −1.04078 | + | 0.0848244i | ||||
\(592\) | 3232.25 | + | 210.343i | 0.224400 | + | 0.0146031i | ||||
\(593\) | 2880.23 | + | 2880.23i | 0.199455 | + | 0.199455i | 0.799766 | − | 0.600311i | \(-0.204957\pi\) |
−0.600311 | + | 0.799766i | \(0.704957\pi\) | |||||||
\(594\) | −9431.07 | − | 5882.37i | −0.651450 | − | 0.406324i | ||||
\(595\) | −8048.58 | + | 2815.74i | −0.554554 | + | 0.194007i | ||||
\(596\) | −5595.84 | + | 5243.52i | −0.384588 | + | 0.360374i | ||||
\(597\) | 929.405 | + | 11403.6i | 0.0637152 | + | 0.781771i | ||||
\(598\) | 23023.5 | + | 23784.0i | 1.57442 | + | 1.62642i | ||||
\(599\) | − | 8674.10i | − | 0.591677i | −0.955238 | − | 0.295838i | \(-0.904401\pi\) | ||
0.955238 | − | 0.295838i | \(-0.0955989\pi\) | |||||||
\(600\) | −11187.1 | + | 9531.41i | −0.761189 | + | 0.648530i | ||||
\(601\) | − | 10491.5i | − | 0.712073i | −0.934472 | − | 0.356036i | \(-0.884128\pi\) | ||
0.934472 | − | 0.356036i | \(-0.115872\pi\) | |||||||
\(602\) | −1296.22 | + | 1254.77i | −0.0877574 | + | 0.0849513i | ||||
\(603\) | 2677.42 | + | 16316.5i | 0.180817 | + | 1.10192i | ||||
\(604\) | −269.599 | + | 8294.37i | −0.0181620 | + | 0.558763i | ||||
\(605\) | −5766.19 | + | 2017.26i | −0.387486 | + | 0.135559i | ||||
\(606\) | −3440.35 | − | 3019.39i | −0.230618 | − | 0.202400i | ||||
\(607\) | −9414.28 | − | 9414.28i | −0.629512 | − | 0.629512i | 0.318433 | − | 0.947945i | \(-0.396843\pi\) |
−0.947945 | + | 0.318433i | \(0.896843\pi\) | |||||||
\(608\) | 7754.75 | + | 9129.28i | 0.517264 | + | 0.608950i | ||||
\(609\) | 1751.07 | + | 21485.2i | 0.116514 | + | 1.42960i | ||||
\(610\) | 9910.78 | + | 4973.52i | 0.657829 | + | 0.330118i | ||||
\(611\) | 9749.17 | − | 9749.17i | 0.645514 | − | 0.645514i | ||||
\(612\) | −5867.12 | + | 7634.33i | −0.387523 | + | 0.504247i | ||||
\(613\) | − | 4335.40i | − | 0.285653i | −0.989748 | − | 0.142826i | \(-0.954381\pi\) | ||
0.989748 | − | 0.142826i | \(-0.0456191\pi\) | |||||||
\(614\) | 9836.27 | + | 159.816i | 0.646514 | + | 0.0105043i | ||||
\(615\) | −7846.17 | + | 3483.73i | −0.514453 | + | 0.228419i | ||||
\(616\) | 528.321 | − | 10831.3i | 0.0345563 | − | 0.708451i | ||||
\(617\) | −3198.28 | − | 3198.28i | −0.208684 | − | 0.208684i | 0.595024 | − | 0.803708i | \(-0.297142\pi\) |
−0.803708 | + | 0.595024i | \(0.797142\pi\) | |||||||
\(618\) | −7327.70 | − | 6431.08i | −0.476963 | − | 0.418602i | ||||
\(619\) | 4226.33 | + | 4226.33i | 0.274427 | + | 0.274427i | 0.830880 | − | 0.556452i | \(-0.187838\pi\) |
−0.556452 | + | 0.830880i | \(0.687838\pi\) | |||||||
\(620\) | 121.639 | + | 387.668i | 0.00787925 | + | 0.0251115i | ||||
\(621\) | −23750.6 | − | 14283.1i | −1.53475 | − | 0.922967i | ||||
\(622\) | −73.1524 | + | 4502.34i | −0.00471567 | + | 0.290237i | ||||
\(623\) | 13332.4 | + | 13332.4i | 0.857387 | + | 0.857387i | ||||
\(624\) | 321.851 | + | 19699.4i | 0.0206480 | + | 1.26380i | ||||
\(625\) | 3480.82 | − | 15232.4i | 0.222773 | − | 0.974870i | ||||
\(626\) | 9981.18 | − | 9662.03i | 0.637266 | − | 0.616889i | ||||
\(627\) | −782.357 | − | 9599.33i | −0.0498315 | − | 0.611420i | ||||
\(628\) | 410.221 | − | 12620.7i | 0.0260662 | − | 0.801943i | ||||
\(629\) | −1595.25 | + | 1595.25i | −0.101124 | + | 0.101124i | ||||
\(630\) | 4351.46 | − | 13945.1i | 0.275185 | − | 0.881886i | ||||
\(631\) | 8471.11i | 0.534437i | 0.963636 | + | 0.267219i | \(0.0861045\pi\) | ||||
−0.963636 | + | 0.267219i | \(0.913895\pi\) | |||||||
\(632\) | 1336.56 | + | 65.1937i | 0.0841226 | + | 0.00410327i | ||||
\(633\) | −3317.18 | + | 3905.87i | −0.208288 | + | 0.245252i | ||||
\(634\) | −502.446 | + | 30924.3i | −0.0314743 | + | 1.93716i | ||||
\(635\) | −10653.0 | + | 22117.5i | −0.665749 | + | 1.38221i | ||||
\(636\) | 1190.99 | + | 24371.7i | 0.0742546 | + | 1.51950i | ||||
\(637\) | 2978.06i | 0.185236i | ||||||||
\(638\) | −19207.6 | − | 312.078i | −1.19191 | − | 0.0193656i | ||||
\(639\) | 23793.9 | − | 3904.39i | 1.47304 | − | 0.241714i | ||||
\(640\) | −15790.6 | + | 3577.73i | −0.975280 | + | 0.220972i | ||||
\(641\) | 11185.3i | 0.689223i | 0.938745 | + | 0.344611i | \(0.111989\pi\) | ||||
−0.938745 | + | 0.344611i | \(0.888011\pi\) | |||||||
\(642\) | −689.371 | − | 10578.5i | −0.0423790 | − | 0.650311i | ||||
\(643\) | −2512.83 | −0.154116 | −0.0770578 | − | 0.997027i | \(-0.524553\pi\) | ||||
−0.0770578 | + | 0.997027i | \(0.524553\pi\) | |||||||
\(644\) | 878.403 | − | 27024.6i | 0.0537484 | − | 1.65360i | ||||
\(645\) | −878.863 | − | 1979.41i | −0.0536515 | − | 0.120836i | ||||
\(646\) | −8341.78 | − | 135.534i | −0.508054 | − | 0.00825467i | ||||
\(647\) | 10636.8 | + | 10636.8i | 0.646329 | + | 0.646329i | 0.952104 | − | 0.305775i | \(-0.0989154\pi\) |
−0.305775 | + | 0.952104i | \(0.598915\pi\) | |||||||
\(648\) | −4503.83 | − | 15868.6i | −0.273036 | − | 0.962004i | ||||
\(649\) | −17888.8 | −1.08197 | ||||||||
\(650\) | −12789.8 | − | 16588.0i | −0.771782 | − | 1.00098i | ||||
\(651\) | −307.820 | − | 261.426i | −0.0185322 | − | 0.0157390i | ||||
\(652\) | 4099.98 | + | 133.265i | 0.246269 | + | 0.00800469i | ||||
\(653\) | − | 16199.1i | − | 0.970780i | −0.874298 | − | 0.485390i | \(-0.838678\pi\) | ||
0.874298 | − | 0.485390i | \(-0.161322\pi\) | |||||||
\(654\) | 14967.2 | − | 17054.0i | 0.894902 | − | 1.01967i | ||||
\(655\) | 4646.37 | + | 2237.94i | 0.277173 | + | 0.133502i | ||||
\(656\) | −9437.47 | − | 614.157i | −0.561694 | − | 0.0365531i | ||||
\(657\) | 24852.4 | + | 17845.9i | 1.47577 | + | 1.05972i | ||||
\(658\) | −11260.5 | − | 182.956i | −0.667141 | − | 0.0108395i | ||||
\(659\) | −15038.5 | − | 15038.5i | −0.888951 | − | 0.888951i | 0.105472 | − | 0.994422i | \(-0.466365\pi\) |
−0.994422 | + | 0.105472i | \(0.966365\pi\) | |||||||
\(660\) | 11990.4 | + | 5069.96i | 0.707162 | + | 0.299012i | ||||
\(661\) | −4273.72 | + | 4273.72i | −0.251480 | + | 0.251480i | −0.821577 | − | 0.570097i | \(-0.806906\pi\) |
0.570097 | + | 0.821577i | \(0.306906\pi\) | |||||||
\(662\) | −17406.1 | − | 17981.1i | −1.02191 | − | 1.05567i | ||||
\(663\) | −10459.4 | − | 8882.96i | −0.612683 | − | 0.520340i | ||||
\(664\) | −17986.6 | − | 877.339i | −1.05123 | − | 0.0512761i | ||||
\(665\) | 11947.8 | − | 4179.87i | 0.696718 | − | 0.243742i | ||||
\(666\) | −563.807 | − | 3823.68i | −0.0328034 | − | 0.222469i | ||||
\(667\) | −47898.5 | −2.78057 | ||||||||
\(668\) | −23376.0 | − | 24946.7i | −1.35396 | − | 1.44493i | ||||
\(669\) | −15730.2 | − | 13359.4i | −0.909066 | − | 0.772053i | ||||
\(670\) | −6097.10 | − | 18380.9i | −0.351570 | − | 1.05987i | ||||
\(671\) | − | 9822.16i | − | 0.565097i | ||||||
\(672\) | 11378.6 | − | 11380.6i | 0.653182 | − | 0.653300i | ||||
\(673\) | −11705.1 | + | 11705.1i | −0.670430 | + | 0.670430i | −0.957815 | − | 0.287385i | \(-0.907214\pi\) |
0.287385 | + | 0.957815i | \(0.407214\pi\) | |||||||
\(674\) | 13250.0 | − | 12826.3i | 0.757227 | − | 0.733015i | ||||
\(675\) | 13920.9 | + | 10665.6i | 0.793801 | + | 0.608178i | ||||
\(676\) | −10498.0 | − | 341.224i | −0.597290 | − | 0.0194142i | ||||
\(677\) | − | 7312.33i | − | 0.415119i | −0.978222 | − | 0.207559i | \(-0.933448\pi\) | ||
0.978222 | − | 0.207559i | \(-0.0665520\pi\) | |||||||
\(678\) | 3289.66 | + | 2887.13i | 0.186340 | + | 0.163539i | ||||
\(679\) | −9010.99 | −0.509293 | ||||||||
\(680\) | 5382.69 | − | 9909.36i | 0.303554 | − | 0.558833i | ||||
\(681\) | 12.5806 | + | 154.361i | 0.000707916 | + | 0.00868596i | ||||
\(682\) | 258.585 | − | 250.317i | 0.0145187 | − | 0.0140544i | ||||
\(683\) | 26529.4 | 1.48626 | 0.743132 | − | 0.669145i | \(-0.233339\pi\) | ||||
0.743132 | + | 0.669145i | \(0.233339\pi\) | |||||||
\(684\) | 8709.54 | − | 11332.9i | 0.486868 | − | 0.633515i | ||||
\(685\) | −13168.2 | + | 27339.6i | −0.734499 | + | 1.52495i | ||||
\(686\) | 13674.0 | − | 13236.8i | 0.761043 | − | 0.736709i | ||||
\(687\) | −2999.35 | + | 3531.63i | −0.166568 | + | 0.196128i | ||||
\(688\) | 154.937 | − | 2380.85i | 0.00858566 | − | 0.131932i | ||||
\(689\) | −34776.1 | −1.92288 | ||||||||
\(690\) | 30098.4 | + | 12154.1i | 1.66062 | + | 0.670577i | ||||
\(691\) | −10984.2 | − | 10984.2i | −0.604718 | − | 0.604718i | 0.336843 | − | 0.941561i | \(-0.390641\pi\) |
−0.941561 | + | 0.336843i | \(0.890641\pi\) | |||||||
\(692\) | 564.515 | − | 17367.7i | 0.0310111 | − | 0.954074i | ||||
\(693\) | −12769.0 | + | 2095.29i | −0.699932 | + | 0.114854i | ||||
\(694\) | −10420.8 | − | 169.313i | −0.569983 | − | 0.00926087i | ||||
\(695\) | 1931.30 | − | 4009.73i | 0.105408 | − | 0.218846i | ||||
\(696\) | −20804.6 | − | 19491.2i | −1.13304 | − | 1.06151i | ||||
\(697\) | 4657.78 | − | 4657.78i | 0.253122 | − | 0.253122i | ||||
\(698\) | 1792.30 | + | 1851.51i | 0.0971916 | + | 0.100402i | ||||
\(699\) | 20017.7 | + | 17000.6i | 1.08317 | + | 0.919919i | ||||
\(700\) | −2469.16 | + | 16930.3i | −0.133322 | + | 0.914152i | ||||
\(701\) | −12127.7 | + | 12127.7i | −0.653435 | + | 0.653435i | −0.953819 | − | 0.300383i | \(-0.902885\pi\) |
0.300383 | + | 0.953819i | \(0.402885\pi\) | |||||||
\(702\) | 22902.4 | − | 5307.35i | 1.23133 | − | 0.285346i | ||||
\(703\) | 2368.09 | − | 2368.09i | 0.127047 | − | 0.127047i | ||||
\(704\) | 9105.91 | + | 11079.8i | 0.487489 | + | 0.593162i | ||||
\(705\) | 4857.97 | − | 12616.8i | 0.259520 | − | 0.674011i | ||||
\(706\) | 5984.23 | − | 5792.88i | 0.319008 | − | 0.308807i | ||||
\(707\) | −5328.80 | −0.283465 | ||||||||
\(708\) | −19665.9 | − | 17833.4i | −1.04391 | − | 0.946640i | ||||
\(709\) | 12696.1 | + | 12696.1i | 0.672515 | + | 0.672515i | 0.958295 | − | 0.285781i | \(-0.0922528\pi\) |
−0.285781 | + | 0.958295i | \(0.592253\pi\) | |||||||
\(710\) | −26804.2 | + | 8891.22i | −1.41682 | + | 0.469974i | ||||
\(711\) | −258.554 | − | 1575.66i | −0.0136379 | − | 0.0831111i | ||||
\(712\) | −24906.2 | − | 1214.85i | −1.31095 | − | 0.0639447i | ||||
\(713\) | 634.532 | − | 634.532i | 0.0333287 | − | 0.0333287i | ||||
\(714\) | 728.907 | + | 11185.2i | 0.0382054 | + | 0.586267i | ||||
\(715\) | −8051.23 | + | 16715.8i | −0.421117 | + | 0.874315i | ||||
\(716\) | −6865.58 | − | 7326.89i | −0.358350 | − | 0.382428i | ||||
\(717\) | −1976.55 | − | 24251.8i | −0.102951 | − | 1.26318i | ||||
\(718\) | −30379.9 | − | 493.602i | −1.57907 | − | 0.0256561i | ||||
\(719\) | 6483.84 | 0.336309 | 0.168155 | − | 0.985761i | \(-0.446219\pi\) | ||||
0.168155 | + | 0.985761i | \(0.446219\pi\) | |||||||
\(720\) | 8127.35 | + | 17527.0i | 0.420678 | + | 0.907210i | ||||
\(721\) | −11349.9 | −0.586261 | ||||||||
\(722\) | −7014.53 | − | 113.969i | −0.361570 | − | 0.00587466i | ||||
\(723\) | −1977.39 | − | 24262.2i | −0.101715 | − | 1.24802i | ||||
\(724\) | −9128.30 | + | 8553.58i | −0.468578 | + | 0.439076i | ||||
\(725\) | 30117.8 | + | 3397.40i | 1.54282 | + | 0.174036i | ||||
\(726\) | 522.206 | + | 8013.31i | 0.0266954 | + | 0.409645i | ||||
\(727\) | 20466.5 | − | 20466.5i | 1.04410 | − | 1.04410i | 0.0451179 | − | 0.998982i | \(-0.485634\pi\) |
0.998982 | − | 0.0451179i | \(-0.0143663\pi\) | |||||||
\(728\) | 15408.9 | + | 16989.2i | 0.784467 | + | 0.864919i | ||||
\(729\) | −17386.1 | + | 9227.34i | −0.883306 | + | 0.468797i | ||||
\(730\) | −32027.9 | − | 16072.5i | −1.62384 | − | 0.814892i | ||||
\(731\) | 1175.05 | + | 1175.05i | 0.0594538 | + | 0.0594538i | ||||
\(732\) | 9791.76 | − | 10797.9i | 0.494418 | − | 0.545223i | ||||
\(733\) | 23199.2 | 1.16901 | 0.584503 | − | 0.811391i | \(-0.301289\pi\) | ||||
0.584503 | + | 0.811391i | \(0.301289\pi\) | |||||||
\(734\) | −26557.0 | + | 25707.8i | −1.33547 | + | 1.29277i | ||||
\(735\) | 1185.05 | + | 2669.00i | 0.0594708 | + | 0.133942i | ||||
\(736\) | 23150.5 | + | 27253.9i | 1.15943 | + | 1.36494i | ||||
\(737\) | −12129.5 | + | 12129.5i | −0.606238 | + | 0.606238i | ||||
\(738\) | 1646.19 | + | 11164.3i | 0.0821101 | + | 0.556861i | ||||
\(739\) | 13759.9 | − | 13759.9i | 0.684935 | − | 0.684935i | −0.276173 | − | 0.961108i | \(-0.589066\pi\) |
0.961108 | + | 0.276173i | \(0.0890662\pi\) | |||||||
\(740\) | 1355.22 | + | 4319.14i | 0.0673228 | + | 0.214560i | ||||
\(741\) | 15526.6 | + | 13186.5i | 0.769749 | + | 0.653734i | ||||
\(742\) | 19757.2 | + | 20409.8i | 0.977507 | + | 1.00980i | ||||
\(743\) | 15769.6 | − | 15769.6i | 0.778641 | − | 0.778641i | −0.200959 | − | 0.979600i | \(-0.564406\pi\) |
0.979600 | + | 0.200959i | \(0.0644057\pi\) | |||||||
\(744\) | 533.816 | − | 17.3994i | 0.0263046 | − | 0.000857383i | ||||
\(745\) | −9655.59 | − | 4650.66i | −0.474837 | − | 0.228707i | ||||
\(746\) | 26191.0 | + | 425.541i | 1.28542 | + | 0.0208850i | ||||
\(747\) | 3479.47 | + | 21204.4i | 0.170425 | + | 1.03859i | ||||
\(748\) | −9983.59 | − | 324.505i | −0.488016 | − | 0.0158624i | ||||
\(749\) | −8726.46 | − | 8726.46i | −0.425711 | − | 0.425711i | ||||
\(750\) | −18063.3 | − | 9777.14i | −0.879438 | − | 0.476014i | ||||
\(751\) | −12884.8 | −0.626062 | −0.313031 | − | 0.949743i | \(-0.601344\pi\) | ||||
−0.313031 | + | 0.949743i | \(0.601344\pi\) | |||||||
\(752\) | 11193.4 | − | 9825.54i | 0.542793 | − | 0.476463i | ||||
\(753\) | −5091.97 | + | 5995.62i | −0.246430 | + | 0.290163i | ||||
\(754\) | 29193.2 | − | 28259.7i | 1.41002 | − | 1.36493i | ||||
\(755\) | −10947.3 | + | 3829.82i | −0.527698 | + | 0.184611i | ||||
\(756\) | −16126.3 | − | 10426.0i | −0.775804 | − | 0.501574i | ||||
\(757\) | 11102.8 | 0.533074 | 0.266537 | − | 0.963825i | \(-0.414120\pi\) | ||||
0.266537 | + | 0.963825i | \(0.414120\pi\) | |||||||
\(758\) | −10831.8 | + | 10485.4i | −0.519033 | + | 0.502437i | ||||
\(759\) | −2335.59 | − | 28657.2i | −0.111695 | − | 1.37047i | ||||
\(760\) | −7990.43 | + | 14710.1i | −0.381373 | + | 0.702095i | ||||
\(761\) | −30128.7 | −1.43517 | −0.717585 | − | 0.696471i | \(-0.754752\pi\) | ||||
−0.717585 | + | 0.696471i | \(0.754752\pi\) | |||||||
\(762\) | 24254.6 | + | 21286.8i | 1.15309 | + | 1.01199i | ||||
\(763\) | − | 26415.1i | − | 1.25333i | ||||||
\(764\) | −167.166 | + | 5142.96i | −0.00791603 | + | 0.243542i | ||||
\(765\) | −12908.7 | − | 3799.04i | −0.610084 | − | 0.179548i | ||||
\(766\) | −7293.70 | + | 7060.48i | −0.344037 | + | 0.333036i | ||||
\(767\) | 26754.1 | − | 26754.1i | 1.25950 | − | 1.25950i | ||||
\(768\) | −1034.99 | + | 21258.3i | −0.0486290 | + | 0.998817i | ||||
\(769\) | − | 6198.90i | − | 0.290687i | −0.989381 | − | 0.145343i | \(-0.953571\pi\) | ||
0.989381 | − | 0.145343i | \(-0.0464287\pi\) | |||||||
\(770\) | 14384.5 | − | 4771.47i | 0.673222 | − | 0.223314i | ||||
\(771\) | −19043.9 | − | 16173.6i | −0.889557 | − | 0.755484i | ||||
\(772\) | −16764.6 | + | 15709.1i | −0.781570 | + | 0.732361i | ||||
\(773\) | −6672.03 | −0.310448 | −0.155224 | − | 0.987879i | \(-0.549610\pi\) | ||||
−0.155224 | + | 0.987879i | \(0.549610\pi\) | |||||||
\(774\) | −2816.49 | + | 415.296i | −0.130797 | + | 0.0192862i | ||||
\(775\) | −443.990 | + | 353.976i | −0.0205788 | + | 0.0164067i | ||||
\(776\) | 8827.22 | − | 8006.13i | 0.408349 | − | 0.370365i | ||||
\(777\) | −3429.53 | − | 2912.64i | −0.158345 | − | 0.134479i | ||||
\(778\) | −13944.3 | − | 14404.9i | −0.642580 | − | 0.663806i | ||||
\(779\) | −6914.31 | + | 6914.31i | −0.318012 | + | 0.318012i | ||||
\(780\) | −25515.1 | + | 10350.1i | −1.17127 | + | 0.475119i | ||||
\(781\) | 17688.1 | + | 17688.1i | 0.810411 | + | 0.810411i | ||||
\(782\) | −24903.0 | − | 404.614i | −1.13878 | − | 0.0185025i | ||||
\(783\) | −17531.5 | + | 29152.2i | −0.800161 | + | 1.33054i | ||||
\(784\) | −208.915 | + | 3210.30i | −0.00951691 | + | 0.146242i | ||||
\(785\) | 16657.3 | − | 5827.44i | 0.757357 | − | 0.264956i | ||||
\(786\) | 4471.86 | − | 5095.32i | 0.202934 | − | 0.231227i | ||||
\(787\) | 12809.9i | 0.580206i | 0.956995 | + | 0.290103i | \(0.0936895\pi\) | ||||
−0.956995 | + | 0.290103i | \(0.906310\pi\) | |||||||
\(788\) | 750.394 | − | 23086.3i | 0.0339234 | − | 1.04367i | ||||
\(789\) | 3353.99 | + | 2848.48i | 0.151337 | + | 0.128528i | ||||
\(790\) | 588.789 | + | 1775.01i | 0.0265167 | + | 0.0799394i | ||||
\(791\) | 5095.38 | 0.229040 | ||||||||
\(792\) | 10646.9 | − | 13397.6i | 0.477679 | − | 0.601090i | ||||
\(793\) | 14689.8 | + | 14689.8i | 0.657818 | + | 0.657818i | ||||
\(794\) | 34985.5 | + | 568.432i | 1.56372 | + | 0.0254067i | ||||
\(795\) | −31167.1 | + | 13838.3i | −1.39042 | + | 0.617351i | ||||
\(796\) | −17605.9 | − | 572.258i | −0.783949 | − | 0.0254813i | ||||
\(797\) | 13899.9 | 0.617768 | 0.308884 | − | 0.951100i | \(-0.400045\pi\) | ||||
0.308884 | + | 0.951100i | \(0.400045\pi\) | |||||||
\(798\) | −1082.04 | − | 16604.0i | −0.0479997 | − | 0.736561i | ||||
\(799\) | 10373.7i | 0.459317i | ||||||||
\(800\) | −12623.6 | − | 18778.9i | −0.557888 | − | 0.829917i | ||||
\(801\) | 4818.04 | + | 29361.8i | 0.212531 | + | 1.29519i | ||||
\(802\) | −3225.12 | − | 52.4005i | −0.141999 | − | 0.00230714i | ||||
\(803\) | 31741.5i | 1.39494i | ||||||||
\(804\) | −25426.5 | + | 1242.54i | −1.11533 | + | 0.0545038i | ||||
\(805\) | 35668.3 | − | 12478.3i | 1.56167 | − | 0.546337i | ||||
\(806\) | −12.3661 | + | 761.102i | −0.000540418 | + | 0.0332614i | ||||
\(807\) | −5385.02 | + | 6340.68i | −0.234897 | + | 0.276583i | ||||
\(808\) | 5220.12 | − | 4734.56i | 0.227281 | − | 0.206140i | ||||
\(809\) | 31720.9i | 1.37855i | 0.724500 | + | 0.689275i | \(0.242071\pi\) | ||||
−0.724500 | + | 0.689275i | \(0.757929\pi\) | |||||||
\(810\) | 18413.7 | − | 13870.0i | 0.798754 | − | 0.601657i | ||||
\(811\) | 21451.1 | − | 21451.1i | 0.928790 | − | 0.928790i | −0.0688382 | − | 0.997628i | \(-0.521929\pi\) |
0.997628 | + | 0.0688382i | \(0.0219292\pi\) | |||||||
\(812\) | −33170.8 | − | 1078.18i | −1.43358 | − | 0.0465968i | ||||
\(813\) | −726.506 | − | 8914.06i | −0.0313403 | − | 0.384538i | ||||
\(814\) | 2880.99 | − | 2788.86i | 0.124052 | − | 0.120086i | ||||
\(815\) | 1893.11 | + | 5411.33i | 0.0813655 | + | 0.232577i | ||||
\(816\) | −10651.9 | − | 10309.4i | −0.456975 | − | 0.442282i | ||||
\(817\) | −1744.32 | − | 1744.32i | −0.0746953 | − | 0.0746953i | ||||
\(818\) | −161.972 | + | 9968.98i | −0.00692326 | + | 0.426109i | ||||
\(819\) | 15963.3 | − | 22230.6i | 0.681078 | − | 0.948476i | ||||
\(820\) | −3956.95 | − | 12611.0i | −0.168515 | − | 0.537065i | ||||
\(821\) | −9218.23 | − | 9218.23i | −0.391862 | − | 0.391862i | 0.483489 | − | 0.875351i | \(-0.339369\pi\) |
−0.875351 | + | 0.483489i | \(0.839369\pi\) | |||||||
\(822\) | 29981.3 | + | 26312.7i | 1.27216 | + | 1.11650i | ||||
\(823\) | 9553.76 | + | 9553.76i | 0.404645 | + | 0.404645i | 0.879866 | − | 0.475221i | \(-0.157632\pi\) |
−0.475221 | + | 0.879866i | \(0.657632\pi\) | |||||||
\(824\) | 11118.5 | − | 10084.3i | 0.470061 | − | 0.426337i | ||||
\(825\) | −564.045 | + | 18184.8i | −0.0238031 | + | 0.767411i | ||||
\(826\) | −30901.4 | − | 502.075i | −1.30169 | − | 0.0211494i | ||||
\(827\) | 31189.8i | 1.31146i | 0.754996 | + | 0.655729i | \(0.227639\pi\) | ||||
−0.754996 | + | 0.655729i | \(0.772361\pi\) | |||||||
\(828\) | 26000.8 | − | 33832.5i | 1.09129 | − | 1.42000i | ||||
\(829\) | −26054.9 | + | 26054.9i | −1.09158 | + | 1.09158i | −0.0962243 | + | 0.995360i | \(0.530677\pi\) |
−0.995360 | + | 0.0962243i | \(0.969323\pi\) | |||||||
\(830\) | −7923.58 | − | 23887.1i | −0.331363 | − | 0.998956i | ||||
\(831\) | 162.840 | + | 1998.01i | 0.00679767 | + | 0.0834058i | ||||
\(832\) | −30189.3 | − | 2952.13i | −1.25796 | − | 0.123013i | ||||
\(833\) | −1584.42 | − | 1584.42i | −0.0659025 | − | 0.0659025i | ||||
\(834\) | −4397.17 | − | 3859.13i | −0.182568 | − | 0.160229i | ||||
\(835\) | 20733.0 | − | 43045.4i | 0.859275 | − | 1.78401i | ||||
\(836\) | 14820.3 | + | 481.717i | 0.613123 | + | 0.0199289i | ||||
\(837\) | −153.943 | − | 618.438i | −0.00635730 | − | 0.0255393i | ||||
\(838\) | −19319.4 | + | 18701.7i | −0.796395 | + | 0.770930i | ||||
\(839\) | 20323.5i | 0.836286i | 0.908381 | + | 0.418143i | \(0.137319\pi\) | ||||
−0.908381 | + | 0.418143i | \(0.862681\pi\) | |||||||
\(840\) | 20570.2 | + | 9094.47i | 0.844928 | + | 0.373558i | ||||
\(841\) | 34403.0i | 1.41059i | ||||||||
\(842\) | 10897.4 | + | 11257.4i | 0.446022 | + | 0.460755i | ||||
\(843\) | −2391.12 | − | 29338.4i | −0.0976921 | − | 1.19866i | ||||
\(844\) | −5394.56 | − | 5757.03i | −0.220010 | − | 0.234793i | ||||
\(845\) | −4847.30 | − | 13855.7i | −0.197340 | − | 0.564082i | ||||
\(846\) | −14265.6 | − | 10599.3i | −0.579742 | − | 0.430744i | ||||
\(847\) | 6610.38 | + | 6610.38i | 0.268164 | + | 0.268164i | ||||
\(848\) | −37488.1 | − | 2439.59i | −1.51810 | − | 0.0987924i | ||||
\(849\) | 28352.9 | − | 2310.79i | 1.14613 | − | 0.0934113i | ||||
\(850\) | 15629.9 | + | 2020.76i | 0.630706 | + | 0.0815429i | ||||
\(851\) | 7069.54 | − | 7069.54i | 0.284772 | − | 0.284772i | ||||
\(852\) | 1811.96 | + | 37078.7i | 0.0728600 | + | 1.49096i | ||||
\(853\) | 12014.9i | 0.482276i | 0.970491 | + | 0.241138i | \(0.0775206\pi\) | ||||
−0.970491 | + | 0.241138i | \(0.922479\pi\) | |||||||
\(854\) | 275.673 | − | 16967.0i | 0.0110461 | − | 0.679857i | ||||
\(855\) | 19162.5 | + | 5639.55i | 0.766483 | + | 0.225577i | ||||
\(856\) | 16301.8 | + | 795.158i | 0.650917 | + | 0.0317499i | ||||
\(857\) | 18480.0 | + | 18480.0i | 0.736600 | + | 0.736600i | 0.971918 | − | 0.235319i | \(-0.0756133\pi\) |
−0.235319 | + | 0.971918i | \(0.575613\pi\) | |||||||
\(858\) | 18331.0 | + | 16088.0i | 0.729381 | + | 0.640133i | ||||
\(859\) | −17108.1 | − | 17108.1i | −0.679535 | − | 0.679535i | 0.280360 | − | 0.959895i | \(-0.409546\pi\) |
−0.959895 | + | 0.280360i | \(0.909546\pi\) | |||||||
\(860\) | 3181.45 | − | 998.246i | 0.126147 | − | 0.0395813i | ||||
\(861\) | 10013.5 | + | 8504.27i | 0.396352 | + | 0.336614i | ||||
\(862\) | 49119.5 | + | 798.075i | 1.94085 | + | 0.0315343i | ||||
\(863\) | 23601.2 | + | 23601.2i | 0.930931 | + | 0.930931i | 0.997764 | − | 0.0668332i | \(-0.0212895\pi\) |
−0.0668332 | + | 0.997764i | \(0.521290\pi\) | |||||||
\(864\) | 25060.8 | − | 4114.61i | 0.986788 | − | 0.162016i | ||||
\(865\) | 22922.6 | − | 8019.30i | 0.901030 | − | 0.315219i | ||||
\(866\) | −1527.37 | − | 1577.82i | −0.0599332 | − | 0.0619129i | ||||
\(867\) | −15153.6 | + | 1235.04i | −0.593592 | + | 0.0483785i | ||||
\(868\) | 453.710 | − | 425.144i | 0.0177418 | − | 0.0166248i | ||||
\(869\) | 1171.33 | − | 1171.33i | 0.0457247 | − | 0.0457247i | ||||
\(870\) | 14918.3 | − | 36943.6i | 0.581352 | − | 1.43966i | ||||
\(871\) | − | 36281.3i | − | 1.41142i | ||||||
\(872\) | 23469.4 | + | 25876.4i | 0.911439 | + | 1.00491i | ||||
\(873\) | −11550.6 | − | 8294.19i | −0.447798 | − | 0.321553i | ||||
\(874\) | 36967.6 | + | 600.636i | 1.43072 | + | 0.0232458i | ||||
\(875\) | −23312.7 | + | 5316.22i | −0.900700 | + | 0.205395i | ||||
\(876\) | −31643.3 | + | 34894.8i | −1.22046 | + | 1.34588i | ||||
\(877\) | 9439.86i | 0.363468i | 0.983348 | + | 0.181734i | \(0.0581710\pi\) | ||||
−0.983348 | + | 0.181734i | \(0.941829\pi\) | |||||||
\(878\) | −190.511 | + | 11725.4i | −0.00732281 | + | 0.450700i | ||||
\(879\) | −2602.04 | − | 31926.5i | −0.0998462 | − | 1.22509i | ||||
\(880\) | −9851.74 | + | 17454.6i | −0.377389 | + | 0.668629i | ||||
\(881\) | 20502.6i | 0.784052i | 0.919954 | + | 0.392026i | \(0.128226\pi\) | ||||
−0.919954 | + | 0.392026i | \(0.871774\pi\) | |||||||
\(882\) | 3797.71 | − | 559.979i | 0.144984 | − | 0.0213781i | ||||
\(883\) | 42894.5 | 1.63478 | 0.817392 | − | 0.576083i | \(-0.195419\pi\) | ||||
0.817392 | + | 0.576083i | \(0.195419\pi\) | |||||||
\(884\) | 15416.6 | − | 14445.9i | 0.586555 | − | 0.549625i | ||||
\(885\) | 13331.4 | − | 34623.7i | 0.506363 | − | 1.31510i | ||||
\(886\) | 132.248 | − | 8139.52i | 0.00501462 | − | 0.308637i | ||||
\(887\) | −20591.8 | − | 20591.8i | −0.779487 | − | 0.779487i | 0.200256 | − | 0.979744i | \(-0.435823\pi\) |
−0.979744 | + | 0.200256i | \(0.935823\pi\) | |||||||
\(888\) | 5947.43 | − | 193.853i | 0.224755 | − | 0.00732576i | ||||
\(889\) | 37568.2 | 1.41732 | ||||||||
\(890\) | −10971.8 | − | 33076.6i | −0.413232 | − | 1.24576i | ||||
\(891\) | −18296.3 | − | 9067.43i | −0.687933 | − | 0.340932i | ||||
\(892\) | 23185.5 | − | 21725.7i | 0.870299 | − | 0.815504i | ||||
\(893\) | − | 15399.4i | − | 0.577067i | ||||||
\(894\) | −9292.94 | + | 10588.6i | −0.347654 | + | 0.396124i | ||||
\(895\) | 6089.32 | − | 12642.5i | 0.227423 | − | 0.472171i | ||||
\(896\) | 15418.7 | + | 19395.0i | 0.574893 | + | 0.723151i | ||||
\(897\) | 46352.0 | + | 39365.9i | 1.72536 | + | 1.46532i | ||||
\(898\) | 343.916 | − | 21167.2i | 0.0127802 | − | 0.786589i | ||||
\(899\) | −778.842 | − | 778.842i | −0.0288941 | − | 0.0288941i | ||||
\(900\) | −18748.6 | + | 19429.1i | −0.694393 | + | 0.719596i | ||||
\(901\) | 18501.9 | − | 18501.9i | 0.684116 | − | 0.684116i | ||||
\(902\) | −8411.85 | + | 8142.88i | −0.310514 | + | 0.300586i | ||||
\(903\) | −2145.43 | + | 2526.17i | −0.0790647 | + | 0.0930959i | ||||
\(904\) | −4991.47 | + | 4527.18i | −0.183644 | + | 0.166562i | ||||
\(905\) | −15750.9 | − | 7586.46i | −0.578537 | − | 0.278655i | ||||
\(906\) | 991.423 | + | 15213.5i | 0.0363552 | + | 0.557875i | ||||
\(907\) | −33643.7 | −1.23166 | −0.615832 | − | 0.787877i | \(-0.711180\pi\) | ||||
−0.615832 | + | 0.787877i | \(0.711180\pi\) | |||||||
\(908\) | −238.317 | − | 7.74622i | −0.00871016 | − | 0.000283114i | ||||
\(909\) | −6830.62 | − | 4904.91i | −0.249238 | − | 0.178972i | ||||
\(910\) | −14377.0 | + | 28649.2i | −0.523728 | + | 1.04364i | ||||
\(911\) | − | 34728.7i | − | 1.26302i | −0.775367 | − | 0.631510i | \(-0.782435\pi\) | ||
0.775367 | − | 0.631510i | \(-0.217565\pi\) | |||||||
\(912\) | 15812.4 | + | 15304.0i | 0.574124 | + | 0.555665i | ||||
\(913\) | −15763.1 | + | 15763.1i | −0.571394 | + | 0.571394i | ||||
\(914\) | 29986.2 | + | 30976.7i | 1.08518 | + | 1.12103i | ||||
\(915\) | 19010.7 | + | 7319.86i | 0.686858 | + | 0.264467i | ||||
\(916\) | −4877.69 | − | 5205.43i | −0.175943 | − | 0.187765i | ||||
\(917\) | − | 7892.20i | − | 0.284213i | ||||||
\(918\) | −9361.09 | + | 15008.4i | −0.336560 | + | 0.539599i | ||||
\(919\) | 996.851 | 0.0357814 | 0.0178907 | − | 0.999840i | \(-0.494305\pi\) | ||||
0.0178907 | + | 0.999840i | \(0.494305\pi\) | |||||||
\(920\) | −23854.1 | + | 43914.5i | −0.854832 | + | 1.57372i | ||||
\(921\) | 18013.0 | − | 1468.08i | 0.644462 | − | 0.0525244i | ||||
\(922\) | −3961.11 | − | 4091.95i | −0.141488 | − | 0.146162i | ||||
\(923\) | −52907.9 | −1.88677 | ||||||||
\(924\) | −972.387 | − | 19898.3i | −0.0346203 | − | 0.708448i | ||||
\(925\) | −4946.65 | + | 3943.77i | −0.175832 | + | 0.140184i | ||||
\(926\) | 33159.8 | + | 34255.1i | 1.17678 | + | 1.21565i | ||||
\(927\) | −14548.7 | − | 10447.1i | −0.515472 | − | 0.370148i | ||||
\(928\) | 33452.2 | − | 28415.6i | 1.18332 | − | 1.00516i | ||||
\(929\) | 41157.1 | 1.45352 | 0.726760 | − | 0.686891i | \(-0.241025\pi\) | ||||
0.726760 | + | 0.686891i | \(0.241025\pi\) | |||||||
\(930\) | 291.779 | + | 687.036i | 0.0102880 | + | 0.0242245i | ||||
\(931\) | 2352.01 | + | 2352.01i | 0.0827971 | + | 0.0827971i | ||||
\(932\) | −29505.0 | + | 27647.3i | −1.03698 | + | 0.971692i | ||||
\(933\) | 671.984 | + | 8245.09i | 0.0235796 | + | 0.289316i | ||||
\(934\) | 80.2752 | − | 4940.73i | 0.00281230 | − | 0.173090i | ||||
\(935\) | −4609.80 | − | 13176.8i | −0.161237 | − | 0.460884i | ||||
\(936\) | 4113.86 | + | 35960.4i | 0.143660 | + | 1.25577i | ||||
\(937\) | −34448.7 | + | 34448.7i | −1.20106 | + | 1.20106i | −0.227212 | + | 0.973845i | \(0.572961\pi\) |
−0.973845 | + | 0.227212i | \(0.927039\pi\) | |||||||
\(938\) | −21293.2 | + | 20612.3i | −0.741203 | + | 0.717502i | ||||
\(939\) | 16520.3 | − | 19452.1i | 0.574142 | − | 0.676033i | ||||
\(940\) | 18449.8 | + | 9636.99i | 0.640177 | + | 0.334387i | ||||
\(941\) | 32591.4 | − | 32591.4i | 1.12906 | − | 1.12906i | 0.138735 | − | 0.990330i | \(-0.455696\pi\) |
0.990330 | − | 0.138735i | \(-0.0443036\pi\) | |||||||
\(942\) | −1508.55 | − | 23148.8i | −0.0521773 | − | 0.800668i | ||||
\(943\) | −20641.5 | + | 20641.5i | −0.712810 | + | 0.712810i | ||||
\(944\) | 30717.3 | − | 26963.6i | 1.05907 | − | 0.929652i | ||||
\(945\) | 5460.51 | − | 26275.8i | 0.187969 | − | 0.904498i | ||||
\(946\) | −2054.26 | − | 2122.11i | −0.0706022 | − | 0.0729343i | ||||
\(947\) | −17773.2 | −0.609873 | −0.304937 | − | 0.952373i | \(-0.598635\pi\) | ||||
−0.304937 | + | 0.952373i | \(0.598635\pi\) | |||||||
\(948\) | 2455.41 | − | 119.991i | 0.0841222 | − | 0.00411088i | ||||
\(949\) | −47471.9 | − | 47471.9i | −1.62382 | − | 1.62382i | ||||
\(950\) | −23202.0 | − | 2999.75i | −0.792393 | − | 0.102447i | ||||
\(951\) | 4615.52 | + | 56631.3i | 0.157380 | + | 1.93101i | ||||
\(952\) | −17236.7 | − | 840.760i | −0.586813 | − | 0.0286231i | ||||
\(953\) | −31145.9 | + | 31145.9i | −1.05867 | + | 1.05867i | −0.0605057 | + | 0.998168i | \(0.519271\pi\) |
−0.998168 | + | 0.0605057i | \(0.980729\pi\) | |||||||
\(954\) | 6539.12 | + | 44347.6i | 0.221920 | + | 1.50504i | ||||
\(955\) | −6787.90 | + | 2374.70i | −0.230001 | + | 0.0804643i | ||||
\(956\) | 37442.1 | + | 1217.01i | 1.26670 | + | 0.0411725i | ||||
\(957\) | −35174.6 | + | 2866.77i | −1.18812 | + | 0.0968334i | ||||
\(958\) | 561.009 | − | 34528.7i | 0.0189200 | − | 1.16448i | ||||
\(959\) | 46438.3 | 1.56368 | ||||||||
\(960\) | −28231.0 | + | 9367.33i | −0.949116 | + | 0.314926i | ||||
\(961\) | −29770.4 | −0.999307 | ||||||||
\(962\) | −137.775 | + | 8479.70i | −0.00461751 | + | 0.284196i | ||||
\(963\) | −3153.55 | − | 19218.1i | −0.105526 | − | 0.643090i | ||||
\(964\) | 37458.1 | + | 1217.53i | 1.25150 | + | 0.0406785i | ||||
\(965\) | −28927.3 | − | 13932.9i | −0.964976 | − | 0.464785i | ||||
\(966\) | −3230.24 | − | 49568.5i | −0.107589 | − | 1.65097i | ||||
\(967\) | 6283.53 | − | 6283.53i | 0.208960 | − | 0.208960i | −0.594865 | − | 0.803826i | \(-0.702795\pi\) |
0.803826 | + | 0.594865i | \(0.202795\pi\) | |||||||
\(968\) | −12348.8 | − | 602.340i | −0.410026 | − | 0.0199999i | ||||
\(969\) | −15276.2 | + | 1245.03i | −0.506442 | + | 0.0412756i | ||||
\(970\) | 14885.5 | + | 7469.98i | 0.492727 | + | 0.247264i | ||||
\(971\) | −9220.82 | − | 9220.82i | −0.304748 | − | 0.304748i | 0.538120 | − | 0.842868i | \(-0.319135\pi\) |
−0.842868 | + | 0.538120i | \(0.819135\pi\) | |||||||
\(972\) | −11074.5 | − | 28207.9i | −0.365449 | − | 0.930831i | ||||
\(973\) | −6810.82 | −0.224404 | ||||||||
\(974\) | 32879.1 | + | 33965.1i | 1.08164 | + | 1.11736i | ||||
\(975\) | −26353.2 | − | 28040.4i | −0.865619 | − | 0.921037i | ||||
\(976\) | 14804.9 | + | 16865.9i | 0.485545 | + | 0.553139i | ||||
\(977\) | 41841.8 | − | 41841.8i | 1.37015 | − | 1.37015i | 0.509943 | − | 0.860208i | \(-0.329666\pi\) |
0.860208 | − | 0.509943i | \(-0.170334\pi\) | |||||||
\(978\) | 7520.17 | − | 490.069i | 0.245878 | − | 0.0160232i | ||||
\(979\) | −21827.3 | + | 21827.3i | −0.712566 | + | 0.712566i | ||||
\(980\) | −4289.81 | + | 1346.02i | −0.139830 | + | 0.0438745i | ||||
\(981\) | 24313.9 | − | 33859.7i | 0.791317 | − | 1.10199i | ||||
\(982\) | 27186.5 | − | 26317.2i | 0.883459 | − | 0.855210i | ||||
\(983\) | −18682.1 | + | 18682.1i | −0.606170 | + | 0.606170i | −0.941943 | − | 0.335773i | \(-0.891003\pi\) |
0.335773 | + | 0.941943i | \(0.391003\pi\) | |||||||
\(984\) | −17365.2 | + | 566.008i | −0.562584 | + | 0.0183371i | ||||
\(985\) | 30470.3 | − | 10659.8i | 0.985650 | − | 0.344822i | ||||
\(986\) | −496.635 | + | 30566.6i | −0.0160406 | + | 0.987260i | ||||
\(987\) | −20621.2 | + | 1680.65i | −0.665024 | + | 0.0542002i | ||||
\(988\) | −22885.4 | + | 21444.5i | −0.736923 | + | 0.690526i | ||||
\(989\) | −5207.37 | − | 5207.37i | −0.167426 | − | 0.167426i | ||||
\(990\) | 22830.4 | + | 7124.02i | 0.732927 | + | 0.228703i | ||||
\(991\) | −24324.1 | −0.779698 | −0.389849 | − | 0.920879i | \(-0.627473\pi\) | ||||
−0.389849 | + | 0.920879i | \(0.627473\pi\) | |||||||
\(992\) | −66.7228 | + | 819.589i | −0.00213554 | + | 0.0262318i | ||||
\(993\) | −35042.9 | − | 29761.2i | −1.11989 | − | 0.951102i | ||||
\(994\) | 30058.3 | + | 31051.2i | 0.959148 | + | 0.990830i | ||||
\(995\) | −8129.29 | − | 23237.0i | −0.259011 | − | 0.740364i | ||||
\(996\) | −33043.4 | + | 1614.76i | −1.05123 | + | 0.0513712i | ||||
\(997\) | 8256.37 | 0.262269 | 0.131134 | − | 0.991365i | \(-0.458138\pi\) | ||||
0.131134 | + | 0.991365i | \(0.458138\pi\) | |||||||
\(998\) | −9527.86 | − | 9842.58i | −0.302203 | − | 0.312186i | ||||
\(999\) | −1715.13 | − | 6890.23i | −0.0543188 | − | 0.218216i |
(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 | 240.4.bf.a.77.70 | yes | 280 | |
3.2 | odd | 2 | inner | 240.4.bf.a.77.71 | yes | 280 | |
5.3 | odd | 4 | 240.4.bb.a.173.140 | yes | 280 | ||
15.8 | even | 4 | 240.4.bb.a.173.1 | ✓ | 280 | ||
16.5 | even | 4 | 240.4.bb.a.197.1 | yes | 280 | ||
48.5 | odd | 4 | 240.4.bb.a.197.140 | yes | 280 | ||
80.53 | odd | 4 | inner | 240.4.bf.a.53.71 | yes | 280 | |
240.53 | even | 4 | inner | 240.4.bf.a.53.70 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.4.bb.a.173.1 | ✓ | 280 | 15.8 | even | 4 | ||
240.4.bb.a.173.140 | yes | 280 | 5.3 | odd | 4 | ||
240.4.bb.a.197.1 | yes | 280 | 16.5 | even | 4 | ||
240.4.bb.a.197.140 | yes | 280 | 48.5 | odd | 4 | ||
240.4.bf.a.53.70 | yes | 280 | 240.53 | even | 4 | inner | |
240.4.bf.a.53.71 | yes | 280 | 80.53 | odd | 4 | inner | |
240.4.bf.a.77.70 | yes | 280 | 1.1 | even | 1 | trivial | |
240.4.bf.a.77.71 | yes | 280 | 3.2 | odd | 2 | inner |