Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(14,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.h (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.18 | ||
Character | \(\chi\) | \(=\) | 75.14 |
Dual form | 75.3.h.a.59.18 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.91455 | − | 2.11754i | 1.45727 | − | 1.05877i | 0.473211 | − | 0.880949i | \(-0.343095\pi\) |
0.984063 | − | 0.177822i | \(-0.0569050\pi\) | |||||||
\(3\) | −1.30764 | + | 2.70002i | −0.435879 | + | 0.900005i | ||||
\(4\) | 2.77453 | − | 8.53912i | 0.693632 | − | 2.13478i | ||||
\(5\) | 2.30619 | − | 4.43638i | 0.461238 | − | 0.887277i | ||||
\(6\) | 1.90623 | + | 10.6383i | 0.317705 | + | 1.77305i | ||||
\(7\) | 9.61929i | 1.37418i | 0.726570 | + | 0.687092i | \(0.241113\pi\) | ||||
−0.726570 | + | 0.687092i | \(0.758887\pi\) | |||||||
\(8\) | −5.54243 | − | 17.0578i | −0.692803 | − | 2.13223i | ||||
\(9\) | −5.58018 | − | 7.06128i | −0.620020 | − | 0.784586i | ||||
\(10\) | −2.67273 | − | 17.8135i | −0.267273 | − | 1.78135i | ||||
\(11\) | −1.54093 | − | 2.12091i | −0.140084 | − | 0.192810i | 0.733210 | − | 0.680002i | \(-0.238021\pi\) |
−0.873295 | + | 0.487192i | \(0.838021\pi\) | |||||||
\(12\) | 19.4277 | + | 18.6573i | 1.61898 | + | 1.55478i | ||||
\(13\) | −11.1781 | + | 15.3854i | −0.859855 | + | 1.18349i | 0.121749 | + | 0.992561i | \(0.461150\pi\) |
−0.981604 | + | 0.190928i | \(0.938850\pi\) | |||||||
\(14\) | 20.3692 | + | 28.0359i | 1.45495 | + | 2.00256i | ||||
\(15\) | 8.96265 | + | 12.0279i | 0.597510 | + | 0.801861i | ||||
\(16\) | −23.2191 | − | 16.8697i | −1.45119 | − | 1.05435i | ||||
\(17\) | −0.622226 | − | 1.91502i | −0.0366015 | − | 0.112648i | 0.931086 | − | 0.364799i | \(-0.118862\pi\) |
−0.967688 | + | 0.252151i | \(0.918862\pi\) | |||||||
\(18\) | −31.2162 | − | 8.76416i | −1.73424 | − | 0.486898i | ||||
\(19\) | 4.29962 | + | 13.2329i | 0.226296 | + | 0.696466i | 0.998158 | + | 0.0606761i | \(0.0193257\pi\) |
−0.771862 | + | 0.635790i | \(0.780674\pi\) | |||||||
\(20\) | −31.4842 | − | 32.0017i | −1.57421 | − | 1.60009i | ||||
\(21\) | −25.9722 | − | 12.5785i | −1.23677 | − | 0.598977i | ||||
\(22\) | −8.98221 | − | 2.91850i | −0.408282 | − | 0.132659i | ||||
\(23\) | 4.75610 | − | 3.45551i | 0.206787 | − | 0.150240i | −0.479572 | − | 0.877503i | \(-0.659208\pi\) |
0.686359 | + | 0.727263i | \(0.259208\pi\) | |||||||
\(24\) | 53.3039 | + | 7.34080i | 2.22100 | + | 0.305866i | ||||
\(25\) | −14.3630 | − | 20.4623i | −0.574519 | − | 0.818491i | ||||
\(26\) | 68.5115i | 2.63506i | ||||||||
\(27\) | 26.3624 | − | 5.83299i | 0.976385 | − | 0.216037i | ||||
\(28\) | 82.1403 | + | 26.6890i | 2.93358 | + | 0.953179i | ||||
\(29\) | −23.5609 | − | 7.65541i | −0.812445 | − | 0.263980i | −0.126812 | − | 0.991927i | \(-0.540475\pi\) |
−0.685633 | + | 0.727947i | \(0.740475\pi\) | |||||||
\(30\) | 51.5917 | + | 16.0771i | 1.71972 | + | 0.535905i | ||||
\(31\) | −4.27699 | − | 13.1632i | −0.137967 | − | 0.424620i | 0.858072 | − | 0.513529i | \(-0.171662\pi\) |
−0.996040 | + | 0.0889087i | \(0.971662\pi\) | |||||||
\(32\) | −31.6527 | −0.989147 | ||||||||
\(33\) | 7.74145 | − | 1.38716i | 0.234590 | − | 0.0420351i | ||||
\(34\) | −5.86863 | − | 4.26381i | −0.172607 | − | 0.125406i | ||||
\(35\) | 42.6748 | + | 22.1839i | 1.21928 | + | 0.633826i | ||||
\(36\) | −75.7795 | + | 28.0581i | −2.10499 | + | 0.779392i | ||||
\(37\) | 34.1022 | − | 46.9377i | 0.921682 | − | 1.26859i | −0.0413355 | − | 0.999145i | \(-0.513161\pi\) |
0.963017 | − | 0.269441i | \(-0.0868388\pi\) | |||||||
\(38\) | 40.5526 | + | 29.4632i | 1.06717 | + | 0.775347i | ||||
\(39\) | −26.9238 | − | 50.2995i | −0.690354 | − | 1.28973i | ||||
\(40\) | −88.4570 | − | 14.7503i | −2.21142 | − | 0.368757i | ||||
\(41\) | 11.5675 | − | 15.9213i | 0.282135 | − | 0.388325i | −0.644305 | − | 0.764769i | \(-0.722853\pi\) |
0.926439 | + | 0.376444i | \(0.122853\pi\) | |||||||
\(42\) | −102.333 | + | 18.3366i | −2.43650 | + | 0.436586i | ||||
\(43\) | − | 12.7377i | − | 0.296226i | −0.988970 | − | 0.148113i | \(-0.952680\pi\) | ||
0.988970 | − | 0.148113i | \(-0.0473200\pi\) | |||||||
\(44\) | −22.3860 | + | 7.27366i | −0.508773 | + | 0.165311i | ||||
\(45\) | −44.1955 | + | 8.47117i | −0.982121 | + | 0.188248i | ||||
\(46\) | 6.54469 | − | 20.1425i | 0.142276 | − | 0.437880i | ||||
\(47\) | 4.86299 | − | 14.9667i | 0.103468 | − | 0.318441i | −0.885900 | − | 0.463876i | \(-0.846458\pi\) |
0.989368 | + | 0.145435i | \(0.0464582\pi\) | |||||||
\(48\) | 75.9105 | − | 40.6326i | 1.58147 | − | 0.846512i | ||||
\(49\) | −43.5307 | −0.888382 | ||||||||
\(50\) | −85.1913 | − | 29.2240i | −1.70383 | − | 0.584480i | ||||
\(51\) | 5.98422 | + | 0.824122i | 0.117338 | + | 0.0161592i | ||||
\(52\) | 100.363 | + | 138.138i | 1.93007 | + | 2.65651i | ||||
\(53\) | −15.7029 | + | 48.3285i | −0.296281 | + | 0.911859i | 0.686507 | + | 0.727123i | \(0.259143\pi\) |
−0.982788 | + | 0.184736i | \(0.940857\pi\) | |||||||
\(54\) | 64.4828 | − | 72.8240i | 1.19413 | − | 1.34859i | ||||
\(55\) | −12.9628 | + | 1.94494i | −0.235688 | + | 0.0353625i | ||||
\(56\) | 164.084 | − | 53.3142i | 2.93008 | − | 0.952039i | ||||
\(57\) | −41.3513 | − | 5.69473i | −0.725461 | − | 0.0999075i | ||||
\(58\) | −84.8800 | + | 27.5792i | −1.46345 | + | 0.475503i | ||||
\(59\) | 32.8435 | − | 45.2053i | 0.556670 | − | 0.766191i | −0.434228 | − | 0.900803i | \(-0.642979\pi\) |
0.990898 | + | 0.134612i | \(0.0429789\pi\) | |||||||
\(60\) | 127.575 | − | 43.1614i | 2.12625 | − | 0.719356i | ||||
\(61\) | 3.13551 | − | 2.27808i | 0.0514018 | − | 0.0373456i | −0.561788 | − | 0.827281i | \(-0.689886\pi\) |
0.613190 | + | 0.789936i | \(0.289886\pi\) | |||||||
\(62\) | −40.3392 | − | 29.3081i | −0.650632 | − | 0.472712i | ||||
\(63\) | 67.9245 | − | 53.6773i | 1.07817 | − | 0.852021i | ||||
\(64\) | 0.623150 | − | 0.452745i | 0.00973672 | − | 0.00707414i | ||||
\(65\) | 42.4765 | + | 85.0720i | 0.653485 | + | 1.30880i | ||||
\(66\) | 19.6255 | − | 20.4358i | 0.297355 | − | 0.309633i | ||||
\(67\) | −60.1212 | + | 19.5346i | −0.897331 | + | 0.291560i | −0.721135 | − | 0.692795i | \(-0.756379\pi\) |
−0.176196 | + | 0.984355i | \(0.556379\pi\) | |||||||
\(68\) | −18.0789 | −0.265867 | ||||||||
\(69\) | 3.11068 | + | 17.3601i | 0.0450824 | + | 0.251596i | ||||
\(70\) | 171.353 | − | 25.7098i | 2.44790 | − | 0.367283i | ||||
\(71\) | −74.3554 | − | 24.1595i | −1.04726 | − | 0.340275i | −0.265667 | − | 0.964065i | \(-0.585592\pi\) |
−0.781592 | + | 0.623789i | \(0.785592\pi\) | |||||||
\(72\) | −89.5224 | + | 134.322i | −1.24337 | + | 1.86559i | ||||
\(73\) | 48.7077 | + | 67.0405i | 0.667229 | + | 0.918362i | 0.999694 | − | 0.0247534i | \(-0.00788007\pi\) |
−0.332464 | + | 0.943116i | \(0.607880\pi\) | |||||||
\(74\) | − | 209.015i | − | 2.82453i | ||||||
\(75\) | 74.0300 | − | 12.0231i | 0.987067 | − | 0.160308i | ||||
\(76\) | 124.926 | 1.64377 | ||||||||
\(77\) | 20.4016 | − | 14.8226i | 0.264956 | − | 0.192502i | ||||
\(78\) | −184.982 | − | 89.5881i | −2.37157 | − | 1.14856i | ||||
\(79\) | −32.2869 | + | 99.3689i | −0.408695 | + | 1.25783i | 0.509075 | + | 0.860722i | \(0.329988\pi\) |
−0.917770 | + | 0.397112i | \(0.870012\pi\) | |||||||
\(80\) | −128.388 | + | 64.1042i | −1.60485 | + | 0.801303i | ||||
\(81\) | −18.7232 | + | 78.8063i | −0.231151 | + | 0.972918i | ||||
\(82\) | − | 70.8982i | − | 0.864612i | ||||||
\(83\) | 34.6732 | + | 106.713i | 0.417749 | + | 1.28570i | 0.909769 | + | 0.415115i | \(0.136259\pi\) |
−0.492020 | + | 0.870584i | \(0.663741\pi\) | |||||||
\(84\) | −179.470 | + | 186.881i | −2.13655 | + | 2.22477i | ||||
\(85\) | −9.93071 | − | 1.65595i | −0.116832 | − | 0.0194818i | ||||
\(86\) | −26.9727 | − | 37.1247i | −0.313636 | − | 0.431683i | ||||
\(87\) | 51.4788 | − | 53.6044i | 0.591711 | − | 0.616142i | ||||
\(88\) | −27.6376 | + | 38.0399i | −0.314063 | + | 0.432271i | ||||
\(89\) | −15.7364 | − | 21.6593i | −0.176813 | − | 0.243363i | 0.711407 | − | 0.702780i | \(-0.248058\pi\) |
−0.888221 | + | 0.459417i | \(0.848058\pi\) | |||||||
\(90\) | −110.872 | + | 118.275i | −1.23191 | + | 1.31417i | ||||
\(91\) | −147.996 | − | 107.526i | −1.62633 | − | 1.18160i | ||||
\(92\) | −16.3111 | − | 50.2004i | −0.177294 | − | 0.545656i | ||||
\(93\) | 41.1337 | + | 5.66476i | 0.442297 | + | 0.0609114i | ||||
\(94\) | −17.5193 | − | 53.9188i | −0.186375 | − | 0.573605i | ||||
\(95\) | 68.6218 | + | 11.4427i | 0.722334 | + | 0.120450i | ||||
\(96\) | 41.3902 | − | 85.4628i | 0.431148 | − | 0.890238i | ||||
\(97\) | −45.8531 | − | 14.8986i | −0.472712 | − | 0.153593i | 0.0629661 | − | 0.998016i | \(-0.479944\pi\) |
−0.535678 | + | 0.844422i | \(0.679944\pi\) | |||||||
\(98\) | −126.872 | + | 92.1781i | −1.29462 | + | 0.940593i | ||||
\(99\) | −6.37765 | + | 22.7160i | −0.0644207 | + | 0.229454i | ||||
\(100\) | −214.580 | + | 65.8742i | −2.14580 | + | 0.658742i | ||||
\(101\) | − | 20.4266i | − | 0.202244i | −0.994874 | − | 0.101122i | \(-0.967757\pi\) | ||
0.994874 | − | 0.101122i | \(-0.0322432\pi\) | |||||||
\(102\) | 19.1864 | − | 10.2699i | 0.188102 | − | 0.100685i | ||||
\(103\) | 130.063 | + | 42.2602i | 1.26275 | + | 0.410293i | 0.862474 | − | 0.506101i | \(-0.168914\pi\) |
0.400278 | + | 0.916394i | \(0.368914\pi\) | |||||||
\(104\) | 324.395 | + | 105.402i | 3.11918 | + | 1.01348i | ||||
\(105\) | −115.700 | + | 86.2143i | −1.10191 | + | 0.821089i | ||||
\(106\) | 56.5709 | + | 174.107i | 0.533688 | + | 1.64252i | ||||
\(107\) | 130.632 | 1.22086 | 0.610429 | − | 0.792071i | \(-0.290997\pi\) | ||||
0.610429 | + | 0.792071i | \(0.290997\pi\) | |||||||
\(108\) | 23.3346 | − | 241.296i | 0.216061 | − | 2.23422i | ||||
\(109\) | 134.451 | + | 97.6842i | 1.23349 | + | 0.896185i | 0.997147 | − | 0.0754837i | \(-0.0240501\pi\) |
0.236346 | + | 0.971669i | \(0.424050\pi\) | |||||||
\(110\) | −33.6623 | + | 33.1179i | −0.306021 | + | 0.301072i | ||||
\(111\) | 82.1392 | + | 153.454i | 0.739993 | + | 1.38247i | ||||
\(112\) | 162.274 | − | 223.351i | 1.44888 | − | 1.99421i | ||||
\(113\) | −167.682 | − | 121.828i | −1.48391 | − | 1.07812i | −0.976270 | − | 0.216555i | \(-0.930518\pi\) |
−0.507640 | − | 0.861569i | \(-0.669482\pi\) | |||||||
\(114\) | −132.579 | + | 70.9655i | −1.16297 | + | 0.622505i | ||||
\(115\) | −4.36150 | − | 29.0689i | −0.0379261 | − | 0.252773i | ||||
\(116\) | −130.741 | + | 179.949i | −1.12708 | + | 1.55129i | ||||
\(117\) | 171.016 | − | 6.92125i | 1.46168 | − | 0.0591560i | ||||
\(118\) | − | 201.300i | − | 1.70594i | ||||||
\(119\) | 18.4211 | − | 5.98537i | 0.154799 | − | 0.0502972i | ||||
\(120\) | 155.495 | − | 219.547i | 1.29580 | − | 1.82956i | ||||
\(121\) | 35.2673 | − | 108.542i | 0.291465 | − | 0.897037i | ||||
\(122\) | 4.31466 | − | 13.2792i | 0.0353661 | − | 0.108846i | ||||
\(123\) | 27.8617 | + | 52.0518i | 0.226518 | + | 0.423185i | ||||
\(124\) | −124.269 | −1.00217 | ||||||||
\(125\) | −123.902 | + | 16.5299i | −0.991218 | + | 0.132239i | ||||
\(126\) | 84.3050 | − | 300.278i | 0.669087 | − | 2.38316i | ||||
\(127\) | 0.760056 | + | 1.04613i | 0.00598469 | + | 0.00823722i | 0.811999 | − | 0.583659i | \(-0.198380\pi\) |
−0.806014 | + | 0.591896i | \(0.798380\pi\) | |||||||
\(128\) | 39.9824 | − | 123.053i | 0.312362 | − | 0.961352i | ||||
\(129\) | 34.3921 | + | 16.6563i | 0.266605 | + | 0.129119i | ||||
\(130\) | 303.943 | + | 158.000i | 2.33802 | + | 1.21539i | ||||
\(131\) | −169.449 | + | 55.0573i | −1.29350 | + | 0.420285i | −0.873317 | − | 0.487152i | \(-0.838036\pi\) |
−0.420187 | + | 0.907437i | \(0.638036\pi\) | |||||||
\(132\) | 9.63377 | − | 69.9539i | 0.0729831 | − | 0.529954i | ||||
\(133\) | −127.291 | + | 41.3593i | −0.957073 | + | 0.310972i | ||||
\(134\) | −133.861 | + | 184.243i | −0.998961 | + | 1.37495i | ||||
\(135\) | 34.9193 | − | 130.406i | 0.258661 | − | 0.965968i | ||||
\(136\) | −29.2174 | + | 21.2277i | −0.214834 | + | 0.156086i | ||||
\(137\) | −8.30822 | − | 6.03627i | −0.0606439 | − | 0.0440604i | 0.557050 | − | 0.830479i | \(-0.311933\pi\) |
−0.617694 | + | 0.786418i | \(0.711933\pi\) | |||||||
\(138\) | 45.8270 | + | 44.0098i | 0.332080 | + | 0.318912i | ||||
\(139\) | −1.72900 | + | 1.25619i | −0.0124389 | + | 0.00903736i | −0.593987 | − | 0.804474i | \(-0.702447\pi\) |
0.581548 | + | 0.813512i | \(0.302447\pi\) | |||||||
\(140\) | 307.834 | − | 302.856i | 2.19881 | − | 2.16326i | ||||
\(141\) | 34.0514 | + | 32.7012i | 0.241499 | + | 0.231923i | ||||
\(142\) | −267.871 | + | 87.0366i | −1.88642 | + | 0.612934i | ||||
\(143\) | 49.8556 | 0.348640 | ||||||||
\(144\) | 10.4453 | + | 258.092i | 0.0725370 | + | 1.79231i | ||||
\(145\) | −88.2982 | + | 86.8704i | −0.608953 | + | 0.599107i | ||||
\(146\) | 283.922 | + | 92.2518i | 1.94467 | + | 0.631862i | ||||
\(147\) | 56.9223 | − | 117.534i | 0.387227 | − | 0.799548i | ||||
\(148\) | −306.189 | − | 421.433i | −2.06884 | − | 2.84752i | ||||
\(149\) | 88.6286i | 0.594823i | 0.954749 | + | 0.297411i | \(0.0961233\pi\) | ||||
−0.954749 | + | 0.297411i | \(0.903877\pi\) | |||||||
\(150\) | 190.305 | − | 191.804i | 1.26870 | − | 1.27869i | ||||
\(151\) | 38.2237 | 0.253137 | 0.126569 | − | 0.991958i | \(-0.459604\pi\) | ||||
0.126569 | + | 0.991958i | \(0.459604\pi\) | |||||||
\(152\) | 201.894 | − | 146.684i | 1.32825 | − | 0.965029i | ||||
\(153\) | −10.0503 | + | 15.0798i | −0.0656884 | + | 0.0985610i | ||||
\(154\) | 28.0739 | − | 86.4025i | 0.182298 | − | 0.561055i | ||||
\(155\) | −68.2606 | − | 11.3825i | −0.440391 | − | 0.0734355i | ||||
\(156\) | −504.215 | + | 90.3482i | −3.23215 | + | 0.579155i | ||||
\(157\) | − | 24.0420i | − | 0.153134i | −0.997064 | − | 0.0765670i | \(-0.975604\pi\) | ||
0.997064 | − | 0.0765670i | \(-0.0243959\pi\) | |||||||
\(158\) | 116.316 | + | 357.984i | 0.736178 | + | 2.26572i | ||||
\(159\) | −109.954 | − | 105.594i | −0.691535 | − | 0.664114i | ||||
\(160\) | −72.9971 | + | 140.423i | −0.456232 | + | 0.877647i | ||||
\(161\) | 33.2395 | + | 45.7503i | 0.206457 | + | 0.284163i | ||||
\(162\) | 112.306 | + | 269.332i | 0.693247 | + | 1.66254i | ||||
\(163\) | −127.234 | + | 175.122i | −0.780576 | + | 1.07437i | 0.214642 | + | 0.976693i | \(0.431141\pi\) |
−0.995218 | + | 0.0976777i | \(0.968859\pi\) | |||||||
\(164\) | −103.860 | − | 142.951i | −0.633291 | − | 0.871651i | ||||
\(165\) | 11.6993 | − | 37.5431i | 0.0709047 | − | 0.227534i | ||||
\(166\) | 327.026 | + | 237.598i | 1.97004 | + | 1.43132i | ||||
\(167\) | −52.1758 | − | 160.581i | −0.312430 | − | 0.961561i | −0.976799 | − | 0.214157i | \(-0.931300\pi\) |
0.664369 | − | 0.747405i | \(-0.268700\pi\) | |||||||
\(168\) | −70.6132 | + | 512.746i | −0.420317 | + | 3.05206i | ||||
\(169\) | −59.5351 | − | 183.230i | −0.352279 | − | 1.08420i | ||||
\(170\) | −32.4501 | + | 16.2023i | −0.190883 | + | 0.0953079i | ||||
\(171\) | 69.4483 | − | 104.202i | 0.406130 | − | 0.609371i | ||||
\(172\) | −108.769 | − | 35.3412i | −0.632378 | − | 0.205472i | ||||
\(173\) | −37.1446 | + | 26.9871i | −0.214709 | + | 0.155995i | −0.689942 | − | 0.723865i | \(-0.742364\pi\) |
0.475233 | + | 0.879860i | \(0.342364\pi\) | |||||||
\(174\) | 36.5279 | − | 265.241i | 0.209930 | − | 1.52437i | ||||
\(175\) | 196.832 | − | 138.162i | 1.12476 | − | 0.789496i | ||||
\(176\) | 75.2405i | 0.427503i | ||||||||
\(177\) | 79.1075 | + | 147.790i | 0.446935 | + | 0.834972i | ||||
\(178\) | −91.7289 | − | 29.8045i | −0.515331 | − | 0.167441i | ||||
\(179\) | 63.4653 | + | 20.6211i | 0.354555 | + | 0.115202i | 0.480878 | − | 0.876787i | \(-0.340318\pi\) |
−0.126324 | + | 0.991989i | \(0.540318\pi\) | |||||||
\(180\) | −50.2853 | + | 400.894i | −0.279363 | + | 2.22719i | ||||
\(181\) | −27.4507 | − | 84.4846i | −0.151661 | − | 0.466766i | 0.846146 | − | 0.532951i | \(-0.178917\pi\) |
−0.997807 | + | 0.0661856i | \(0.978917\pi\) | |||||||
\(182\) | −659.032 | −3.62105 | ||||||||
\(183\) | 2.05075 | + | 11.4448i | 0.0112063 | + | 0.0625401i | ||||
\(184\) | −85.3039 | − | 61.9769i | −0.463608 | − | 0.336831i | ||||
\(185\) | −129.587 | − | 259.538i | −0.700472 | − | 1.40291i | ||||
\(186\) | 131.881 | − | 70.5921i | 0.709039 | − | 0.379527i | ||||
\(187\) | −3.10276 | + | 4.27058i | −0.0165923 | + | 0.0228373i | ||||
\(188\) | −114.310 | − | 83.0513i | −0.608034 | − | 0.441762i | ||||
\(189\) | 56.1092 | + | 253.588i | 0.296874 | + | 1.34173i | ||||
\(190\) | 224.232 | − | 111.959i | 1.18017 | − | 0.589259i | ||||
\(191\) | 155.312 | − | 213.768i | 0.813151 | − | 1.11921i | −0.177679 | − | 0.984089i | \(-0.556859\pi\) |
0.990830 | − | 0.135118i | \(-0.0431413\pi\) | |||||||
\(192\) | 0.407566 | + | 2.27454i | 0.00212274 | + | 0.0118466i | ||||
\(193\) | − | 217.844i | − | 1.12872i | −0.825527 | − | 0.564362i | \(-0.809122\pi\) | ||
0.825527 | − | 0.564362i | \(-0.190878\pi\) | |||||||
\(194\) | −165.189 | + | 53.6732i | −0.851491 | + | 0.276666i | ||||
\(195\) | −285.239 | + | 3.44410i | −1.46277 | + | 0.0176621i | ||||
\(196\) | −120.777 | + | 371.714i | −0.616210 | + | 1.89650i | ||||
\(197\) | −106.780 | + | 328.635i | −0.542031 | + | 1.66820i | 0.185916 | + | 0.982566i | \(0.440475\pi\) |
−0.727947 | + | 0.685633i | \(0.759525\pi\) | |||||||
\(198\) | 29.5140 | + | 79.7116i | 0.149061 | + | 0.402584i | ||||
\(199\) | 120.507 | 0.605564 | 0.302782 | − | 0.953060i | \(-0.402085\pi\) | ||||
0.302782 | + | 0.953060i | \(0.402085\pi\) | |||||||
\(200\) | −269.436 | + | 358.412i | −1.34718 | + | 1.79206i | ||||
\(201\) | 25.8730 | − | 187.872i | 0.128721 | − | 0.934688i | ||||
\(202\) | −43.2543 | − | 59.5344i | −0.214130 | − | 0.294725i | ||||
\(203\) | 73.6396 | − | 226.639i | 0.362756 | − | 1.11645i | ||||
\(204\) | 23.6407 | − | 48.8134i | 0.115886 | − | 0.239282i | ||||
\(205\) | −43.9562 | − | 88.0355i | −0.214421 | − | 0.429442i | ||||
\(206\) | 468.564 | − | 152.246i | 2.27458 | − | 0.739056i | ||||
\(207\) | −50.9402 | − | 14.3018i | −0.246088 | − | 0.0690908i | ||||
\(208\) | 519.092 | − | 168.663i | 2.49563 | − | 0.810880i | ||||
\(209\) | 21.4403 | − | 29.5100i | 0.102585 | − | 0.141196i | ||||
\(210\) | −154.651 | + | 496.275i | −0.736432 | + | 2.36322i | ||||
\(211\) | 8.98786 | − | 6.53006i | 0.0425965 | − | 0.0309482i | −0.566283 | − | 0.824211i | \(-0.691619\pi\) |
0.608880 | + | 0.793263i | \(0.291619\pi\) | |||||||
\(212\) | 369.115 | + | 268.178i | 1.74111 | + | 1.26499i | ||||
\(213\) | 162.461 | − | 169.169i | 0.762728 | − | 0.794221i | ||||
\(214\) | 380.733 | − | 276.618i | 1.77912 | − | 1.29261i | ||||
\(215\) | −56.5094 | − | 29.3756i | −0.262835 | − | 0.136631i | ||||
\(216\) | −245.610 | − | 417.357i | −1.13708 | − | 1.93221i | ||||
\(217\) | 126.621 | − | 41.1416i | 0.583506 | − | 0.189593i | ||||
\(218\) | 598.713 | 2.74639 | ||||||||
\(219\) | −244.702 | + | 43.8472i | −1.11736 | + | 0.200216i | ||||
\(220\) | −19.3577 | + | 116.087i | −0.0879894 | + | 0.527670i | ||||
\(221\) | 36.4185 | + | 11.8331i | 0.164790 | + | 0.0535434i | ||||
\(222\) | 564.344 | + | 273.315i | 2.54209 | + | 1.23115i | ||||
\(223\) | 252.876 | + | 348.053i | 1.13397 | + | 1.56078i | 0.780297 | + | 0.625409i | \(0.215068\pi\) |
0.353675 | + | 0.935368i | \(0.384932\pi\) | |||||||
\(224\) | − | 304.476i | − | 1.35927i | ||||||
\(225\) | −64.3417 | + | 215.604i | −0.285963 | + | 0.958241i | ||||
\(226\) | −746.693 | −3.30395 | ||||||||
\(227\) | −99.6999 | + | 72.4362i | −0.439207 | + | 0.319102i | −0.785320 | − | 0.619090i | \(-0.787501\pi\) |
0.346113 | + | 0.938193i | \(0.387501\pi\) | |||||||
\(228\) | −163.358 | + | 337.303i | −0.716484 | + | 1.47940i | ||||
\(229\) | −83.9328 | + | 258.319i | −0.366519 | + | 1.12803i | 0.582506 | + | 0.812827i | \(0.302072\pi\) |
−0.949025 | + | 0.315202i | \(0.897928\pi\) | |||||||
\(230\) | −74.2665 | − | 75.4871i | −0.322898 | − | 0.328205i | ||||
\(231\) | 13.3435 | + | 74.4673i | 0.0577640 | + | 0.322369i | ||||
\(232\) | 444.328i | 1.91521i | ||||||||
\(233\) | −90.9554 | − | 279.932i | −0.390367 | − | 1.20142i | −0.932512 | − | 0.361140i | \(-0.882388\pi\) |
0.542145 | − | 0.840285i | \(-0.317612\pi\) | |||||||
\(234\) | 483.779 | − | 382.306i | 2.06743 | − | 1.63379i | ||||
\(235\) | −55.1832 | − | 56.0902i | −0.234822 | − | 0.238682i | ||||
\(236\) | −294.888 | − | 405.878i | −1.24953 | − | 1.71982i | ||||
\(237\) | −226.078 | − | 217.114i | −0.953916 | − | 0.916091i | ||||
\(238\) | 41.0148 | − | 56.4521i | 0.172331 | − | 0.237194i | ||||
\(239\) | −27.6341 | − | 38.0351i | −0.115624 | − | 0.159143i | 0.747282 | − | 0.664507i | \(-0.231358\pi\) |
−0.862906 | + | 0.505364i | \(0.831358\pi\) | |||||||
\(240\) | −5.19773 | − | 430.474i | −0.0216572 | − | 1.79364i | ||||
\(241\) | −82.7901 | − | 60.1506i | −0.343528 | − | 0.249587i | 0.402621 | − | 0.915367i | \(-0.368099\pi\) |
−0.746149 | + | 0.665779i | \(0.768099\pi\) | |||||||
\(242\) | −127.053 | − | 391.029i | −0.525013 | − | 1.61582i | ||||
\(243\) | −188.295 | − | 153.603i | −0.774877 | − | 0.632111i | ||||
\(244\) | −10.7533 | − | 33.0951i | −0.0440708 | − | 0.135636i | ||||
\(245\) | −100.390 | + | 193.119i | −0.409755 | + | 0.788240i | ||||
\(246\) | 191.426 | + | 92.7090i | 0.778155 | + | 0.376866i | ||||
\(247\) | −251.654 | − | 81.7673i | −1.01884 | − | 0.331042i | ||||
\(248\) | −200.831 | + | 145.912i | −0.809803 | + | 0.588357i | ||||
\(249\) | −333.467 | − | 45.9237i | −1.33922 | − | 0.184432i | ||||
\(250\) | −326.116 | + | 310.545i | −1.30446 | + | 1.24218i | ||||
\(251\) | 324.851i | 1.29423i | 0.762394 | + | 0.647113i | \(0.224024\pi\) | ||||
−0.762394 | + | 0.647113i | \(0.775976\pi\) | |||||||
\(252\) | −269.899 | − | 728.945i | −1.07103 | − | 2.89264i | ||||
\(253\) | −14.6576 | − | 4.76255i | −0.0579353 | − | 0.0188243i | ||||
\(254\) | 4.43044 | + | 1.43954i | 0.0174427 | + | 0.00566746i | ||||
\(255\) | 17.4569 | − | 24.6477i | 0.0684583 | − | 0.0966576i | ||||
\(256\) | −143.088 | − | 440.378i | −0.558936 | − | 1.72023i | ||||
\(257\) | −10.6951 | −0.0416150 | −0.0208075 | − | 0.999784i | \(-0.506624\pi\) | ||||
−0.0208075 | + | 0.999784i | \(0.506624\pi\) | |||||||
\(258\) | 135.508 | − | 24.2811i | 0.525224 | − | 0.0941127i | ||||
\(259\) | 451.507 | + | 328.039i | 1.74327 | + | 1.26656i | ||||
\(260\) | 844.292 | − | 126.677i | 3.24728 | − | 0.487221i | ||||
\(261\) | 77.4172 | + | 209.089i | 0.296617 | + | 0.801106i | ||||
\(262\) | −377.281 | + | 519.283i | −1.44000 | + | 1.98200i | ||||
\(263\) | 220.942 | + | 160.524i | 0.840083 | + | 0.610356i | 0.922394 | − | 0.386250i | \(-0.126230\pi\) |
−0.0823105 | + | 0.996607i | \(0.526230\pi\) | |||||||
\(264\) | −66.5684 | − | 124.364i | −0.252153 | − | 0.471077i | ||||
\(265\) | 178.190 | + | 181.119i | 0.672415 | + | 0.683467i | ||||
\(266\) | −283.415 | + | 390.087i | −1.06547 | + | 1.46649i | ||||
\(267\) | 79.0579 | − | 14.1661i | 0.296097 | − | 0.0530564i | ||||
\(268\) | 567.581i | 2.11784i | ||||||||
\(269\) | 310.812 | − | 100.989i | 1.15544 | − | 0.375424i | 0.332248 | − | 0.943192i | \(-0.392193\pi\) |
0.823189 | + | 0.567768i | \(0.192193\pi\) | |||||||
\(270\) | −174.366 | − | 454.017i | −0.645799 | − | 1.68154i | ||||
\(271\) | −30.9515 | + | 95.2590i | −0.114212 | + | 0.351509i | −0.991782 | − | 0.127940i | \(-0.959164\pi\) |
0.877570 | + | 0.479449i | \(0.159164\pi\) | |||||||
\(272\) | −17.8581 | + | 54.9617i | −0.0656549 | + | 0.202065i | ||||
\(273\) | 483.846 | − | 258.988i | 1.77233 | − | 0.948674i | ||||
\(274\) | −36.9968 | −0.135025 | ||||||||
\(275\) | −21.2662 | + | 61.9934i | −0.0773317 | + | 0.225431i | ||||
\(276\) | 156.871 | + | 21.6036i | 0.568372 | + | 0.0782739i | ||||
\(277\) | −144.606 | − | 199.033i | −0.522043 | − | 0.718530i | 0.463849 | − | 0.885914i | \(-0.346468\pi\) |
−0.985892 | + | 0.167384i | \(0.946468\pi\) | |||||||
\(278\) | −2.37921 | + | 7.32246i | −0.00855832 | + | 0.0263398i | ||||
\(279\) | −69.0828 | + | 103.654i | −0.247609 | + | 0.371520i | ||||
\(280\) | 141.887 | − | 850.893i | 0.506739 | − | 3.03890i | ||||
\(281\) | 492.907 | − | 160.155i | 1.75412 | − | 0.569948i | 0.757554 | − | 0.652772i | \(-0.226394\pi\) |
0.996564 | + | 0.0828247i | \(0.0263941\pi\) | |||||||
\(282\) | 168.491 | + | 23.2038i | 0.597484 | + | 0.0822831i | ||||
\(283\) | −342.705 | + | 111.352i | −1.21097 | + | 0.393468i | −0.843786 | − | 0.536680i | \(-0.819678\pi\) |
−0.367185 | + | 0.930148i | \(0.619678\pi\) | |||||||
\(284\) | −412.603 | + | 567.899i | −1.45283 | + | 1.99964i | ||||
\(285\) | −120.628 | + | 170.317i | −0.423256 | + | 0.597603i | ||||
\(286\) | 145.306 | − | 105.571i | 0.508064 | − | 0.369130i | ||||
\(287\) | 153.152 | + | 111.271i | 0.533630 | + | 0.387705i | ||||
\(288\) | 176.628 | + | 223.508i | 0.613290 | + | 0.776071i | ||||
\(289\) | 230.526 | − | 167.487i | 0.797667 | − | 0.579539i | ||||
\(290\) | −73.3975 | + | 440.163i | −0.253095 | + | 1.51780i | ||||
\(291\) | 100.185 | − | 104.322i | 0.344280 | − | 0.358495i | ||||
\(292\) | 707.608 | − | 229.916i | 2.42331 | − | 0.787383i | ||||
\(293\) | −257.869 | −0.880100 | −0.440050 | − | 0.897973i | \(-0.645039\pi\) | ||||
−0.440050 | + | 0.897973i | \(0.645039\pi\) | |||||||
\(294\) | −82.9797 | − | 463.093i | −0.282244 | − | 1.57514i | ||||
\(295\) | −124.804 | − | 249.958i | −0.423066 | − | 0.847316i | ||||
\(296\) | −989.664 | − | 321.561i | −3.34346 | − | 1.08636i | ||||
\(297\) | −52.9938 | − | 46.9240i | −0.178430 | − | 0.157993i | ||||
\(298\) | 187.675 | + | 258.312i | 0.629781 | + | 0.866819i | ||||
\(299\) | 111.800i | 0.373914i | ||||||||
\(300\) | 102.732 | − | 665.510i | 0.342439 | − | 2.21837i | ||||
\(301\) | 122.528 | 0.407069 | ||||||||
\(302\) | 111.405 | − | 80.9404i | 0.368890 | − | 0.268015i | ||||
\(303\) | 55.1522 | + | 26.7106i | 0.182021 | + | 0.0881538i | ||||
\(304\) | 123.401 | − | 379.788i | 0.405923 | − | 1.24930i | ||||
\(305\) | −2.87537 | − | 19.1640i | −0.00942743 | − | 0.0628329i | ||||
\(306\) | 2.64006 | + | 65.2329i | 0.00862765 | + | 0.213179i | ||||
\(307\) | 439.331i | 1.43105i | 0.698589 | + | 0.715524i | \(0.253812\pi\) | ||||
−0.698589 | + | 0.715524i | \(0.746188\pi\) | |||||||
\(308\) | −69.9675 | − | 215.338i | −0.227167 | − | 0.699148i | ||||
\(309\) | −284.179 | + | 295.913i | −0.919673 | + | 0.957646i | ||||
\(310\) | −223.052 | + | 111.370i | −0.719522 | + | 0.359258i | ||||
\(311\) | −189.558 | − | 260.904i | −0.609512 | − | 0.838921i | 0.387026 | − | 0.922069i | \(-0.373502\pi\) |
−0.996537 | + | 0.0831483i | \(0.973502\pi\) | |||||||
\(312\) | −708.778 | + | 738.044i | −2.27173 | + | 2.36552i | ||||
\(313\) | 299.621 | − | 412.393i | 0.957255 | − | 1.31755i | 0.00902650 | − | 0.999959i | \(-0.497127\pi\) |
0.948228 | − | 0.317589i | \(-0.102873\pi\) | |||||||
\(314\) | −50.9100 | − | 70.0716i | −0.162134 | − | 0.223158i | ||||
\(315\) | −81.4866 | − | 425.129i | −0.258688 | − | 1.34962i | ||||
\(316\) | 758.942 | + | 551.404i | 2.40172 | + | 1.74495i | ||||
\(317\) | 110.243 | + | 339.293i | 0.347770 | + | 1.07032i | 0.960084 | + | 0.279711i | \(0.0902385\pi\) |
−0.612315 | + | 0.790614i | \(0.709761\pi\) | |||||||
\(318\) | −544.067 | − | 74.9266i | −1.71090 | − | 0.235618i | ||||
\(319\) | 20.0693 | + | 61.7669i | 0.0629131 | + | 0.193627i | ||||
\(320\) | −0.571449 | − | 3.80865i | −0.00178578 | − | 0.0119020i | ||||
\(321\) | −170.819 | + | 352.708i | −0.532146 | + | 1.09878i | ||||
\(322\) | 193.756 | + | 62.9553i | 0.601728 | + | 0.195513i | ||||
\(323\) | 22.6658 | − | 16.4677i | 0.0701727 | − | 0.0509835i | ||||
\(324\) | 620.989 | + | 378.531i | 1.91663 | + | 1.16830i | ||||
\(325\) | 475.371 | + | 7.74997i | 1.46268 | + | 0.0238461i | ||||
\(326\) | 779.825i | 2.39210i | ||||||||
\(327\) | −439.562 | + | 235.284i | −1.34422 | + | 0.719523i | ||||
\(328\) | −335.696 | − | 109.074i | −1.02346 | − | 0.332543i | ||||
\(329\) | 143.969 | + | 46.7785i | 0.437597 | + | 0.142184i | ||||
\(330\) | −45.4010 | − | 134.195i | −0.137579 | − | 0.406651i | ||||
\(331\) | −78.1687 | − | 240.579i | −0.236159 | − | 0.726824i | −0.996966 | − | 0.0778445i | \(-0.975196\pi\) |
0.760806 | − | 0.648979i | \(-0.224804\pi\) | |||||||
\(332\) | 1007.44 | 3.03445 | ||||||||
\(333\) | −521.736 | + | 21.1154i | −1.56678 | + | 0.0634095i | ||||
\(334\) | −492.105 | − | 357.536i | −1.47337 | − | 1.07047i | ||||
\(335\) | −51.9880 | + | 311.771i | −0.155188 | + | 0.930659i | ||||
\(336\) | 390.857 | + | 730.205i | 1.16326 | + | 2.17323i | ||||
\(337\) | 125.926 | − | 173.322i | 0.373667 | − | 0.514308i | −0.580226 | − | 0.814455i | \(-0.697036\pi\) |
0.953893 | + | 0.300147i | \(0.0970358\pi\) | |||||||
\(338\) | −561.515 | − | 407.965i | −1.66129 | − | 1.20700i | ||||
\(339\) | 548.205 | − | 293.437i | 1.61712 | − | 0.865596i | ||||
\(340\) | −41.6934 | + | 80.2051i | −0.122628 | + | 0.235897i | ||||
\(341\) | −21.3274 | + | 29.3547i | −0.0625438 | + | 0.0860841i | ||||
\(342\) | −18.2430 | − | 450.763i | −0.0533420 | − | 1.31802i | ||||
\(343\) | 52.6107i | 0.153384i | ||||||||
\(344\) | −217.278 | + | 70.5979i | −0.631622 | + | 0.205227i | ||||
\(345\) | 84.1899 | + | 26.2355i | 0.244029 | + | 0.0760449i | ||||
\(346\) | −51.1133 | + | 157.310i | −0.147726 | + | 0.454655i | ||||
\(347\) | 5.40910 | − | 16.6475i | 0.0155882 | − | 0.0479755i | −0.942960 | − | 0.332906i | \(-0.891971\pi\) |
0.958548 | + | 0.284931i | \(0.0919707\pi\) | |||||||
\(348\) | −314.905 | − | 588.311i | −0.904899 | − | 1.69055i | ||||
\(349\) | −498.785 | −1.42918 | −0.714591 | − | 0.699542i | \(-0.753387\pi\) | ||||
−0.714591 | + | 0.699542i | \(0.753387\pi\) | |||||||
\(350\) | 281.114 | − | 819.480i | 0.803184 | − | 2.34137i | ||||
\(351\) | −204.939 | + | 470.797i | −0.583873 | + | 1.34130i | ||||
\(352\) | 48.7745 | + | 67.1324i | 0.138564 | + | 0.190717i | ||||
\(353\) | −115.543 | + | 355.604i | −0.327317 | + | 1.00738i | 0.643067 | + | 0.765810i | \(0.277661\pi\) |
−0.970384 | + | 0.241567i | \(0.922339\pi\) | |||||||
\(354\) | 543.514 | + | 263.228i | 1.53535 | + | 0.743581i | ||||
\(355\) | −278.659 | + | 274.153i | −0.784954 | + | 0.772261i | ||||
\(356\) | −228.612 | + | 74.2807i | −0.642170 | + | 0.208654i | ||||
\(357\) | −7.92746 | + | 57.5639i | −0.0222058 | + | 0.161243i | ||||
\(358\) | 228.639 | − | 74.2892i | 0.638655 | − | 0.207512i | ||||
\(359\) | 49.4120 | − | 68.0098i | 0.137638 | − | 0.189442i | −0.734634 | − | 0.678464i | \(-0.762646\pi\) |
0.872272 | + | 0.489021i | \(0.162646\pi\) | |||||||
\(360\) | 389.450 | + | 706.928i | 1.08181 | + | 1.96369i | ||||
\(361\) | 135.433 | − | 98.3980i | 0.375161 | − | 0.272571i | ||||
\(362\) | −258.906 | − | 188.106i | −0.715210 | − | 0.519630i | ||||
\(363\) | 246.947 | + | 237.155i | 0.680295 | + | 0.653320i | ||||
\(364\) | −1328.79 | + | 965.425i | −3.65053 | + | 2.65227i | ||||
\(365\) | 409.746 | − | 61.4783i | 1.12259 | − | 0.168434i | ||||
\(366\) | 30.2119 | + | 29.0140i | 0.0825463 | + | 0.0792731i | ||||
\(367\) | −212.024 | + | 68.8908i | −0.577722 | + | 0.187713i | −0.583280 | − | 0.812271i | \(-0.698231\pi\) |
0.00555765 | + | 0.999985i | \(0.498231\pi\) | |||||||
\(368\) | −168.726 | −0.458494 | ||||||||
\(369\) | −176.974 | + | 7.16236i | −0.479604 | + | 0.0194102i | ||||
\(370\) | −927.270 | − | 482.028i | −2.50614 | − | 1.30278i | ||||
\(371\) | −464.886 | − | 151.051i | −1.25306 | − | 0.407144i | ||||
\(372\) | 162.499 | − | 335.528i | 0.436824 | − | 0.901958i | ||||
\(373\) | −79.9562 | − | 110.050i | −0.214360 | − | 0.295041i | 0.688274 | − | 0.725451i | \(-0.258369\pi\) |
−0.902633 | + | 0.430410i | \(0.858369\pi\) | |||||||
\(374\) | 19.0170i | 0.0508477i | ||||||||
\(375\) | 117.388 | − | 356.153i | 0.313035 | − | 0.949742i | ||||
\(376\) | −282.253 | −0.750673 | ||||||||
\(377\) | 381.148 | − | 276.920i | 1.01100 | − | 0.734536i | ||||
\(378\) | 700.515 | + | 620.279i | 1.85321 | + | 1.64095i | ||||
\(379\) | 146.003 | − | 449.351i | 0.385232 | − | 1.18562i | −0.551079 | − | 0.834453i | \(-0.685784\pi\) |
0.936312 | − | 0.351170i | \(-0.114216\pi\) | |||||||
\(380\) | 288.104 | − | 554.222i | 0.758168 | − | 1.45848i | ||||
\(381\) | −3.81844 | + | 0.684210i | −0.0100221 | + | 0.00179583i | ||||
\(382\) | − | 951.917i | − | 2.49193i | ||||||
\(383\) | −50.3576 | − | 154.985i | −0.131482 | − | 0.404660i | 0.863544 | − | 0.504273i | \(-0.168240\pi\) |
−0.995026 | + | 0.0996130i | \(0.968240\pi\) | |||||||
\(384\) | 279.963 | + | 268.862i | 0.729070 | + | 0.700161i | ||||
\(385\) | −18.7089 | − | 124.693i | −0.0485946 | − | 0.323878i | ||||
\(386\) | −461.293 | − | 634.916i | −1.19506 | − | 1.64486i | ||||
\(387\) | −89.9446 | + | 71.0788i | −0.232415 | + | 0.183666i | ||||
\(388\) | −254.441 | + | 350.209i | −0.655777 | + | 0.902599i | ||||
\(389\) | −35.3689 | − | 48.6811i | −0.0909226 | − | 0.125144i | 0.761132 | − | 0.648597i | \(-0.224644\pi\) |
−0.852055 | + | 0.523452i | \(0.824644\pi\) | |||||||
\(390\) | −824.051 | + | 614.045i | −2.11295 | + | 1.57447i | ||||
\(391\) | −9.57672 | − | 6.95790i | −0.0244929 | − | 0.0177951i | ||||
\(392\) | 241.266 | + | 742.540i | 0.615474 | + | 1.89423i | ||||
\(393\) | 72.9220 | − | 529.510i | 0.185552 | − | 1.34735i | ||||
\(394\) | 384.683 | + | 1183.93i | 0.976354 | + | 3.00491i | ||||
\(395\) | 366.379 | + | 372.401i | 0.927541 | + | 0.942786i | ||||
\(396\) | 176.279 | + | 117.486i | 0.445150 | + | 0.296681i | ||||
\(397\) | 475.722 | + | 154.572i | 1.19829 | + | 0.389349i | 0.839133 | − | 0.543927i | \(-0.183063\pi\) |
0.359160 | + | 0.933276i | \(0.383063\pi\) | |||||||
\(398\) | 351.224 | − | 255.179i | 0.882473 | − | 0.641154i | ||||
\(399\) | 54.7792 | − | 397.770i | 0.137291 | − | 0.996917i | ||||
\(400\) | −11.6960 | + | 717.414i | −0.0292400 | + | 1.79354i | ||||
\(401\) | − | 369.579i | − | 0.921644i | −0.887493 | − | 0.460822i | \(-0.847555\pi\) | ||
0.887493 | − | 0.460822i | \(-0.152445\pi\) | |||||||
\(402\) | −322.419 | − | 602.349i | −0.802038 | − | 1.49838i | ||||
\(403\) | 250.330 | + | 81.3370i | 0.621165 | + | 0.201829i | ||||
\(404\) | −174.426 | − | 56.6743i | −0.431746 | − | 0.140283i | ||||
\(405\) | 306.436 | + | 264.806i | 0.756632 | + | 0.653841i | ||||
\(406\) | −265.292 | − | 816.486i | −0.653429 | − | 2.01105i | ||||
\(407\) | −152.099 | −0.373709 | ||||||||
\(408\) | −19.1094 | − | 106.645i | −0.0468367 | − | 0.261386i | ||||
\(409\) | −220.737 | − | 160.375i | −0.539700 | − | 0.392115i | 0.284274 | − | 0.958743i | \(-0.408248\pi\) |
−0.823974 | + | 0.566628i | \(0.808248\pi\) | |||||||
\(410\) | −314.531 | − | 163.505i | −0.767150 | − | 0.398792i | ||||
\(411\) | 27.1622 | − | 14.5391i | 0.0660880 | − | 0.0353749i | ||||
\(412\) | 721.730 | − | 993.376i | 1.75177 | − | 2.41111i | ||||
\(413\) | 434.842 | + | 315.931i | 1.05289 | + | 0.764967i | ||||
\(414\) | −178.752 | + | 66.1848i | −0.431769 | + | 0.159867i | ||||
\(415\) | 553.383 | + | 92.2770i | 1.33345 | + | 0.222354i | ||||
\(416\) | 353.818 | − | 486.988i | 0.850523 | − | 1.17064i | ||||
\(417\) | −1.13084 | − | 6.31097i | −0.00271184 | − | 0.0151342i | ||||
\(418\) | − | 131.409i | − | 0.314375i | ||||||
\(419\) | −54.2295 | + | 17.6202i | −0.129426 | + | 0.0420531i | −0.373014 | − | 0.927826i | \(-0.621676\pi\) |
0.243588 | + | 0.969879i | \(0.421676\pi\) | |||||||
\(420\) | 415.182 | + | 1227.18i | 0.988528 | + | 2.92186i | ||||
\(421\) | 111.392 | − | 342.830i | 0.264590 | − | 0.814323i | −0.727198 | − | 0.686428i | \(-0.759178\pi\) |
0.991788 | − | 0.127896i | \(-0.0408222\pi\) | |||||||
\(422\) | 12.3679 | − | 38.0643i | 0.0293077 | − | 0.0901998i | ||||
\(423\) | −132.821 | + | 49.1781i | −0.313997 | + | 0.116260i | ||||
\(424\) | 911.412 | 2.14956 | ||||||||
\(425\) | −30.2485 | + | 40.2375i | −0.0711730 | + | 0.0946765i | ||||
\(426\) | 115.278 | − | 837.069i | 0.270605 | − | 1.96495i | ||||
\(427\) | 21.9135 | + | 30.1614i | 0.0513198 | + | 0.0706356i | ||||
\(428\) | 362.442 | − | 1115.48i | 0.846827 | − | 2.60626i | ||||
\(429\) | −65.1929 | + | 134.611i | −0.151965 | + | 0.313778i | ||||
\(430\) | −226.903 | + | 34.0445i | −0.527682 | + | 0.0791734i | ||||
\(431\) | 236.795 | − | 76.9394i | 0.549408 | − | 0.178514i | −0.0211416 | − | 0.999776i | \(-0.506730\pi\) |
0.570550 | + | 0.821263i | \(0.306730\pi\) | |||||||
\(432\) | −710.512 | − | 309.288i | −1.64470 | − | 0.715945i | ||||
\(433\) | −350.943 | + | 114.028i | −0.810491 | + | 0.263345i | −0.684806 | − | 0.728726i | \(-0.740113\pi\) |
−0.125685 | + | 0.992070i | \(0.540113\pi\) | |||||||
\(434\) | 281.923 | − | 388.034i | 0.649593 | − | 0.894088i | ||||
\(435\) | −119.090 | − | 352.002i | −0.273769 | − | 0.809199i | ||||
\(436\) | 1207.18 | − | 877.064i | 2.76875 | − | 2.01161i | ||||
\(437\) | 66.1757 | + | 48.0795i | 0.151432 | + | 0.110022i | ||||
\(438\) | −620.348 | + | 645.962i | −1.41632 | + | 1.47480i | ||||
\(439\) | −83.8726 | + | 60.9370i | −0.191054 | + | 0.138809i | −0.679200 | − | 0.733953i | \(-0.737673\pi\) |
0.488146 | + | 0.872762i | \(0.337673\pi\) | |||||||
\(440\) | 105.022 | + | 210.338i | 0.238686 | + | 0.478041i | ||||
\(441\) | 242.909 | + | 307.382i | 0.550814 | + | 0.697012i | ||||
\(442\) | 131.201 | − | 42.6296i | 0.296834 | − | 0.0964471i | ||||
\(443\) | −610.142 | −1.37730 | −0.688648 | − | 0.725096i | \(-0.741795\pi\) | ||||
−0.688648 | + | 0.725096i | \(0.741795\pi\) | |||||||
\(444\) | 1538.26 | − | 275.634i | 3.46455 | − | 0.620798i | ||||
\(445\) | −132.380 | + | 19.8623i | −0.297483 | + | 0.0446343i | ||||
\(446\) | 1474.04 | + | 478.943i | 3.30501 | + | 1.07386i | ||||
\(447\) | −239.299 | − | 115.894i | −0.535344 | − | 0.259270i | ||||
\(448\) | 4.35509 | + | 5.99426i | 0.00972117 | + | 0.0133800i | ||||
\(449\) | − | 16.8743i | − | 0.0375821i | −0.999823 | − | 0.0187910i | \(-0.994018\pi\) | ||
0.999823 | − | 0.0187910i | \(-0.00598172\pi\) | |||||||
\(450\) | 269.024 | + | 764.635i | 0.597831 | + | 1.69919i | ||||
\(451\) | −51.5924 | −0.114395 | ||||||||
\(452\) | −1505.54 | + | 1093.84i | −3.33085 | + | 2.42000i | ||||
\(453\) | −49.9827 | + | 103.205i | −0.110337 | + | 0.227825i | ||||
\(454\) | −137.193 | + | 422.238i | −0.302188 | + | 0.930039i | ||||
\(455\) | −818.332 | + | 408.594i | −1.79853 | + | 0.898008i | ||||
\(456\) | 132.047 | + | 736.926i | 0.289576 | + | 1.61607i | ||||
\(457\) | 4.80448i | 0.0105131i | 0.999986 | + | 0.00525654i | \(0.00167322\pi\) | ||||
−0.999986 | + | 0.00525654i | \(0.998327\pi\) | |||||||
\(458\) | 302.374 | + | 930.613i | 0.660206 | + | 2.03191i | ||||
\(459\) | −27.5736 | − | 46.8550i | −0.0600733 | − | 0.102081i | ||||
\(460\) | −260.324 | − | 43.4093i | −0.565923 | − | 0.0943680i | ||||
\(461\) | 111.308 | + | 153.203i | 0.241449 | + | 0.332327i | 0.912494 | − | 0.409091i | \(-0.134154\pi\) |
−0.671044 | + | 0.741417i | \(0.734154\pi\) | |||||||
\(462\) | 196.578 | + | 188.783i | 0.425493 | + | 0.408621i | ||||
\(463\) | −106.344 | + | 146.370i | −0.229685 | + | 0.316134i | −0.908268 | − | 0.418390i | \(-0.862595\pi\) |
0.678582 | + | 0.734524i | \(0.262595\pi\) | |||||||
\(464\) | 417.919 | + | 575.217i | 0.900688 | + | 1.23969i | ||||
\(465\) | 119.993 | − | 169.421i | 0.258050 | − | 0.364346i | ||||
\(466\) | −857.861 | − | 623.273i | −1.84090 | − | 1.33750i | ||||
\(467\) | −16.2208 | − | 49.9225i | −0.0347341 | − | 0.106900i | 0.932186 | − | 0.361979i | \(-0.117899\pi\) |
−0.966920 | + | 0.255078i | \(0.917899\pi\) | |||||||
\(468\) | 415.388 | − | 1479.53i | 0.887581 | − | 3.16139i | ||||
\(469\) | −187.908 | − | 578.323i | −0.400658 | − | 1.23310i | ||||
\(470\) | −279.607 | − | 46.6247i | −0.594909 | − | 0.0992015i | ||||
\(471\) | 64.9139 | + | 31.4382i | 0.137821 | + | 0.0667478i | ||||
\(472\) | −953.137 | − | 309.693i | −2.01936 | − | 0.656129i | ||||
\(473\) | −27.0155 | + | 19.6279i | −0.0571153 | + | 0.0414967i | ||||
\(474\) | −1118.66 | − | 154.058i | −2.36005 | − | 0.325016i | ||||
\(475\) | 209.019 | − | 278.043i | 0.440040 | − | 0.585354i | ||||
\(476\) | − | 173.907i | − | 0.365350i | ||||||
\(477\) | 428.886 | − | 158.799i | 0.899132 | − | 0.332913i | ||||
\(478\) | −161.082 | − | 52.3386i | −0.336991 | − | 0.109495i | ||||
\(479\) | −817.603 | − | 265.655i | −1.70690 | − | 0.554604i | −0.717085 | − | 0.696986i | \(-0.754524\pi\) |
−0.989812 | + | 0.142382i | \(0.954524\pi\) | |||||||
\(480\) | −283.692 | − | 380.716i | −0.591025 | − | 0.793159i | ||||
\(481\) | 340.954 | + | 1049.35i | 0.708845 | + | 2.18160i | ||||
\(482\) | −368.667 | −0.764869 | ||||||||
\(483\) | −166.992 | + | 29.9226i | −0.345739 | + | 0.0619515i | ||||
\(484\) | −828.999 | − | 602.303i | −1.71281 | − | 1.24443i | ||||
\(485\) | −171.842 | + | 169.063i | −0.354313 | + | 0.348583i | ||||
\(486\) | −874.056 | − | 48.9603i | −1.79847 | − | 0.100741i | ||||
\(487\) | −470.715 | + | 647.883i | −0.966560 | + | 1.33036i | −0.0227947 | + | 0.999740i | \(0.507256\pi\) |
−0.943765 | + | 0.330616i | \(0.892744\pi\) | |||||||
\(488\) | −56.2375 | − | 40.8590i | −0.115241 | − | 0.0837274i | ||||
\(489\) | −306.458 | − | 572.530i | −0.626703 | − | 1.17082i | ||||
\(490\) | 116.346 | + | 775.434i | 0.237441 | + | 1.58252i | ||||
\(491\) | 29.2083 | − | 40.2018i | 0.0594874 | − | 0.0818773i | −0.778237 | − | 0.627971i | \(-0.783886\pi\) |
0.837724 | + | 0.546094i | \(0.183886\pi\) | |||||||
\(492\) | 521.780 | − | 93.4956i | 1.06053 | − | 0.190032i | ||||
\(493\) | 49.8829i | 0.101182i | ||||||||
\(494\) | −906.603 | + | 294.573i | −1.83523 | + | 0.596302i | ||||
\(495\) | 86.0686 | + | 80.6810i | 0.173876 | + | 0.162992i | ||||
\(496\) | −122.751 | + | 377.790i | −0.247482 | + | 0.761673i | ||||
\(497\) | 232.398 | − | 715.246i | 0.467601 | − | 1.43913i | ||||
\(498\) | −1069.15 | + | 572.284i | −2.14689 | + | 1.14916i | ||||
\(499\) | 197.958 | 0.396709 | 0.198354 | − | 0.980130i | \(-0.436440\pi\) | ||||
0.198354 | + | 0.980130i | \(0.436440\pi\) | |||||||
\(500\) | −202.620 | + | 1103.88i | −0.405240 | + | 2.20776i | ||||
\(501\) | 501.798 | + | 69.1055i | 1.00159 | + | 0.137935i | ||||
\(502\) | 687.885 | + | 946.792i | 1.37029 | + | 1.88604i | ||||
\(503\) | −108.467 | + | 333.826i | −0.215640 | + | 0.663671i | 0.783468 | + | 0.621432i | \(0.213449\pi\) |
−0.999108 | + | 0.0422385i | \(0.986551\pi\) | |||||||
\(504\) | −1292.09 | − | 861.142i | −2.56366 | − | 1.70861i | ||||
\(505\) | −90.6204 | − | 47.1077i | −0.179446 | − | 0.0932825i | ||||
\(506\) | −52.8052 | + | 17.1575i | −0.104358 | + | 0.0339080i | ||||
\(507\) | 572.575 | + | 78.8526i | 1.12934 | + | 0.155528i | ||||
\(508\) | 11.0418 | − | 3.58770i | 0.0217358 | − | 0.00706240i | ||||
\(509\) | 314.518 | − | 432.897i | 0.617913 | − | 0.850485i | −0.379286 | − | 0.925280i | \(-0.623830\pi\) |
0.997199 | + | 0.0747949i | \(0.0238302\pi\) | |||||||
\(510\) | −1.31373 | − | 108.802i | −0.00257594 | − | 0.213338i | ||||
\(511\) | −644.881 | + | 468.534i | −1.26200 | + | 0.916896i | ||||
\(512\) | −930.854 | − | 676.305i | −1.81807 | − | 1.32091i | ||||
\(513\) | 190.535 | + | 323.770i | 0.371414 | + | 0.631131i | ||||
\(514\) | −31.1712 | + | 22.6472i | −0.0606444 | + | 0.0440608i | ||||
\(515\) | 487.433 | − | 479.551i | 0.946472 | − | 0.931168i | ||||
\(516\) | 237.652 | − | 247.465i | 0.460566 | − | 0.479583i | ||||
\(517\) | −39.2366 | + | 12.7487i | −0.0758927 | + | 0.0246590i | ||||
\(518\) | 2010.57 | 3.88142 | ||||||||
\(519\) | −24.2941 | − | 135.580i | −0.0468094 | − | 0.261234i | ||||
\(520\) | 1215.72 | − | 1196.06i | 2.33792 | − | 2.30012i | ||||
\(521\) | −585.168 | − | 190.133i | −1.12316 | − | 0.364938i | −0.312189 | − | 0.950020i | \(-0.601062\pi\) |
−0.810974 | + | 0.585082i | \(0.801062\pi\) | |||||||
\(522\) | 668.390 | + | 445.465i | 1.28044 | + | 0.853381i | ||||
\(523\) | −1.70712 | − | 2.34966i | −0.00326410 | − | 0.00449265i | 0.807382 | − | 0.590029i | \(-0.200884\pi\) |
−0.810646 | + | 0.585537i | \(0.800884\pi\) | |||||||
\(524\) | 1599.70i | 3.05287i | ||||||||
\(525\) | 115.654 | + | 712.116i | 0.220293 | + | 1.35641i | ||||
\(526\) | 983.861 | 1.87046 | ||||||||
\(527\) | −22.5465 | + | 16.3810i | −0.0427828 | + | 0.0310835i | ||||
\(528\) | −203.151 | − | 98.3872i | −0.384755 | − | 0.186339i | ||||
\(529\) | −152.790 | + | 470.239i | −0.288828 | + | 0.888921i | ||||
\(530\) | 902.870 | + | 150.554i | 1.70353 | + | 0.284064i | ||||
\(531\) | −502.480 | + | 20.3360i | −0.946289 | + | 0.0382976i | ||||
\(532\) | 1201.70i | 2.25884i | ||||||||
\(533\) | 115.652 | + | 355.941i | 0.216984 | + | 0.667807i | ||||
\(534\) | 200.421 | − | 208.696i | 0.375320 | − | 0.390817i | ||||
\(535\) | 301.262 | − | 579.533i | 0.563106 | − | 1.08324i | ||||
\(536\) | 666.434 | + | 917.268i | 1.24335 | + | 1.71132i | ||||
\(537\) | −138.667 | + | 144.392i | −0.258225 | + | 0.268887i | ||||
\(538\) | 692.029 | − | 952.496i | 1.28630 | − | 1.77044i | ||||
\(539\) | 67.0777 | + | 92.3245i | 0.124448 | + | 0.171289i | ||||
\(540\) | −1016.67 | − | 659.995i | −1.88271 | − | 1.22221i | ||||
\(541\) | 684.816 | + | 497.548i | 1.26583 | + | 0.919682i | 0.999029 | − | 0.0440682i | \(-0.0140319\pi\) |
0.266805 | + | 0.963750i | \(0.414032\pi\) | |||||||
\(542\) | 111.505 | + | 343.178i | 0.205729 | + | 0.633170i | ||||
\(543\) | 264.005 | + | 36.3577i | 0.486197 | + | 0.0669571i | ||||
\(544\) | 19.6951 | + | 60.6154i | 0.0362043 | + | 0.111425i | ||||
\(545\) | 743.433 | − | 371.197i | 1.36410 | − | 0.681095i | ||||
\(546\) | 861.773 | − | 1779.40i | 1.57834 | − | 3.25897i | ||||
\(547\) | −265.366 | − | 86.2225i | −0.485129 | − | 0.157628i | 0.0562327 | − | 0.998418i | \(-0.482091\pi\) |
−0.541362 | + | 0.840790i | \(0.682091\pi\) | |||||||
\(548\) | −74.5959 | + | 54.1971i | −0.136124 | + | 0.0988998i | ||||
\(549\) | −33.5829 | − | 9.42861i | −0.0611710 | − | 0.0171742i | ||||
\(550\) | 69.2923 | + | 225.715i | 0.125986 | + | 0.410391i | ||||
\(551\) | − | 344.694i | − | 0.625578i | ||||||
\(552\) | 278.885 | − | 149.279i | 0.505226 | − | 0.270432i | ||||
\(553\) | −955.858 | − | 310.577i | −1.72850 | − | 0.561622i | ||||
\(554\) | −842.921 | − | 273.882i | −1.52152 | − | 0.494371i | ||||
\(555\) | 870.209 | − | 10.5073i | 1.56794 | − | 0.0189320i | ||||
\(556\) | 5.92962 | + | 18.2495i | 0.0106648 | + | 0.0328228i | ||||
\(557\) | −415.319 | −0.745635 | −0.372818 | − | 0.927905i | \(-0.621608\pi\) | ||||
−0.372818 | + | 0.927905i | \(0.621608\pi\) | |||||||
\(558\) | 18.1470 | + | 448.390i | 0.0325214 | + | 0.803567i | ||||
\(559\) | 195.975 | + | 142.384i | 0.350581 | + | 0.254712i | ||||
\(560\) | −616.637 | − | 1235.00i | −1.10114 | − | 2.20536i | ||||
\(561\) | −7.47337 | − | 13.9619i | −0.0133215 | − | 0.0248875i | ||||
\(562\) | 1097.47 | − | 1510.53i | 1.95279 | − | 2.68778i | ||||
\(563\) | −758.639 | − | 551.183i | −1.34749 | − | 0.979011i | −0.999132 | − | 0.0416505i | \(-0.986738\pi\) |
−0.348361 | − | 0.937361i | \(-0.613262\pi\) | |||||||
\(564\) | 373.716 | − | 200.039i | 0.662617 | − | 0.354679i | ||||
\(565\) | −927.182 | + | 462.943i | −1.64103 | + | 0.819368i | ||||
\(566\) | −763.037 | + | 1050.23i | −1.34812 | + | 1.85553i | ||||
\(567\) | −758.061 | − | 180.104i | −1.33697 | − | 0.317644i | ||||
\(568\) | 1402.25i | 2.46874i | ||||||||
\(569\) | 517.157 | − | 168.035i | 0.908888 | − | 0.295316i | 0.182988 | − | 0.983115i | \(-0.441423\pi\) |
0.725901 | + | 0.687800i | \(0.241423\pi\) | |||||||
\(570\) | 9.07793 | + | 751.831i | 0.0159262 | + | 1.31900i | ||||
\(571\) | −96.1700 | + | 295.981i | −0.168424 | + | 0.518355i | −0.999272 | − | 0.0381437i | \(-0.987856\pi\) |
0.830849 | + | 0.556499i | \(0.187856\pi\) | |||||||
\(572\) | 138.326 | − | 425.723i | 0.241828 | − | 0.744271i | ||||
\(573\) | 374.087 | + | 698.876i | 0.652857 | + | 1.21968i | ||||
\(574\) | 681.990 | 1.18814 | ||||||||
\(575\) | −139.019 | − | 47.6892i | −0.241773 | − | 0.0829377i | ||||
\(576\) | −6.67425 | − | 1.87384i | −0.0115872 | − | 0.00325319i | ||||
\(577\) | −222.653 | − | 306.455i | −0.385880 | − | 0.531118i | 0.571250 | − | 0.820776i | \(-0.306459\pi\) |
−0.957130 | + | 0.289658i | \(0.906459\pi\) | |||||||
\(578\) | 317.218 | − | 976.296i | 0.548820 | − | 1.68909i | ||||
\(579\) | 588.182 | + | 284.860i | 1.01586 | + | 0.491987i | ||||
\(580\) | 496.811 | + | 995.014i | 0.856571 | + | 1.71554i | ||||
\(581\) | −1026.50 | + | 333.531i | −1.76679 | + | 0.574064i | ||||
\(582\) | 71.0888 | − | 516.199i | 0.122146 | − | 0.886939i | ||||
\(583\) | 126.697 | − | 41.1664i | 0.217319 | − | 0.0706114i | ||||
\(584\) | 873.606 | − | 1202.42i | 1.49590 | − | 2.05893i | ||||
\(585\) | 363.690 | − | 774.655i | 0.621693 | − | 1.32420i | ||||
\(586\) | −751.572 | + | 546.049i | −1.28255 | + | 0.931824i | ||||
\(587\) | 747.086 | + | 542.790i | 1.27272 | + | 0.924684i | 0.999307 | − | 0.0372128i | \(-0.0118480\pi\) |
0.273411 | + | 0.961897i | \(0.411848\pi\) | |||||||
\(588\) | −845.702 | − | 812.167i | −1.43827 | − | 1.38124i | ||||
\(589\) | 155.798 | − | 113.194i | 0.264512 | − | 0.192179i | ||||
\(590\) | −893.046 | − | 464.237i | −1.51364 | − | 0.786842i | ||||
\(591\) | −747.691 | − | 718.043i | −1.26513 | − | 1.21496i | ||||
\(592\) | −1583.65 | + | 514.558i | −2.67508 | + | 0.869185i | ||||
\(593\) | −758.601 | −1.27926 | −0.639630 | − | 0.768683i | \(-0.720912\pi\) | ||||
−0.639630 | + | 0.768683i | \(0.720912\pi\) | |||||||
\(594\) | −253.816 | − | 24.5454i | −0.427300 | − | 0.0413223i | ||||
\(595\) | 15.9291 | − | 95.5264i | 0.0267716 | − | 0.160549i | ||||
\(596\) | 756.810 | + | 245.903i | 1.26982 | + | 0.412588i | ||||
\(597\) | −157.580 | + | 325.372i | −0.263953 | + | 0.545011i | ||||
\(598\) | 236.742 | + | 325.848i | 0.395890 | + | 0.544896i | ||||
\(599\) | − | 8.98283i | − | 0.0149964i | −0.999972 | − | 0.00749819i | \(-0.997613\pi\) | ||
0.999972 | − | 0.00749819i | \(-0.00238677\pi\) | |||||||
\(600\) | −615.394 | − | 1196.16i | −1.02566 | − | 1.99359i | ||||
\(601\) | −112.394 | −0.187012 | −0.0935062 | − | 0.995619i | \(-0.529807\pi\) | ||||
−0.0935062 | + | 0.995619i | \(0.529807\pi\) | |||||||
\(602\) | 357.113 | − | 259.458i | 0.593211 | − | 0.430993i | ||||
\(603\) | 473.426 | + | 315.526i | 0.785117 | + | 0.523260i | ||||
\(604\) | 106.053 | − | 326.397i | 0.175584 | − | 0.540393i | ||||
\(605\) | −400.199 | − | 406.776i | −0.661485 | − | 0.672358i | ||||
\(606\) | 217.305 | − | 38.9379i | 0.358588 | − | 0.0642540i | ||||
\(607\) | − | 465.006i | − | 0.766073i | −0.923733 | − | 0.383037i | \(-0.874878\pi\) | ||
0.923733 | − | 0.383037i | \(-0.125122\pi\) | |||||||
\(608\) | −136.094 | − | 418.856i | −0.223840 | − | 0.688908i | ||||
\(609\) | 515.636 | + | 495.190i | 0.846693 | + | 0.813119i | ||||
\(610\) | −48.9610 | − | 49.7657i | −0.0802640 | − | 0.0815832i | ||||
\(611\) | 175.910 | + | 242.119i | 0.287904 | + | 0.396266i | ||||
\(612\) | 100.884 | + | 127.660i | 0.164843 | + | 0.208595i | ||||
\(613\) | 642.929 | − | 884.916i | 1.04882 | − | 1.44358i | 0.158999 | − | 0.987279i | \(-0.449173\pi\) |
0.889825 | − | 0.456303i | \(-0.150827\pi\) | |||||||
\(614\) | 930.303 | + | 1280.45i | 1.51515 | + | 2.08543i | ||||
\(615\) | 295.176 | − | 3.56408i | 0.479961 | − | 0.00579526i | ||||
\(616\) | −365.917 | − | 265.854i | −0.594020 | − | 0.431581i | ||||
\(617\) | −184.628 | − | 568.228i | −0.299236 | − | 0.920953i | −0.981766 | − | 0.190095i | \(-0.939120\pi\) |
0.682530 | − | 0.730858i | \(-0.260880\pi\) | |||||||
\(618\) | −201.645 | + | 1464.21i | −0.326287 | + | 2.36927i | ||||
\(619\) | −130.565 | − | 401.836i | −0.210928 | − | 0.649170i | −0.999418 | − | 0.0341221i | \(-0.989136\pi\) |
0.788489 | − | 0.615048i | \(-0.210864\pi\) | |||||||
\(620\) | −286.588 | + | 551.305i | −0.462238 | + | 0.889202i | ||||
\(621\) | 105.226 | − | 118.838i | 0.169447 | − | 0.191365i | ||||
\(622\) | −1104.95 | − | 359.021i | −1.77645 | − | 0.577204i | ||||
\(623\) | 208.347 | − | 151.373i | 0.334425 | − | 0.242974i | ||||
\(624\) | −223.390 | + | 1622.11i | −0.357996 | + | 2.59953i | ||||
\(625\) | −212.409 | + | 587.799i | −0.339855 | + | 0.940478i | ||||
\(626\) | − | 1836.40i | − | 2.93354i | ||||||
\(627\) | 51.6414 | + | 96.4773i | 0.0823626 | + | 0.153871i | ||||
\(628\) | −205.298 | − | 66.7054i | −0.326908 | − | 0.106219i | ||||
\(629\) | −111.106 | − | 36.1004i | −0.176639 | − | 0.0573933i | ||||
\(630\) | −1137.72 | − | 1066.51i | −1.80591 | − | 1.69287i | ||||
\(631\) | −83.0085 | − | 255.474i | −0.131551 | − | 0.404871i | 0.863487 | − | 0.504371i | \(-0.168276\pi\) |
−0.995038 | + | 0.0994999i | \(0.968276\pi\) | |||||||
\(632\) | 1873.97 | 2.96514 | ||||||||
\(633\) | 5.87843 | + | 32.8063i | 0.00928661 | + | 0.0518267i | ||||
\(634\) | 1039.78 | + | 755.441i | 1.64002 | + | 1.19155i | ||||
\(635\) | 6.39385 | − | 0.959332i | 0.0100691 | − | 0.00151076i | ||||
\(636\) | −1206.75 | + | 645.938i | −1.89741 | + | 1.01563i | ||||
\(637\) | 486.591 | − | 669.736i | 0.763880 | − | 1.05139i | ||||
\(638\) | 189.287 | + | 137.525i | 0.296688 | + | 0.215556i | ||||
\(639\) | 244.319 | + | 659.859i | 0.382346 | + | 1.03264i | ||||
\(640\) | −453.704 | − | 461.161i | −0.708912 | − | 0.720564i | ||||
\(641\) | 82.4863 | − | 113.533i | 0.128684 | − | 0.177118i | −0.739813 | − | 0.672812i | \(-0.765086\pi\) |
0.868497 | + | 0.495694i | \(0.165086\pi\) | |||||||
\(642\) | 249.015 | + | 1389.70i | 0.387873 | + | 2.16464i | ||||
\(643\) | − | 541.595i | − | 0.842293i | −0.906993 | − | 0.421147i | \(-0.861628\pi\) | ||
0.906993 | − | 0.421147i | \(-0.138372\pi\) | |||||||
\(644\) | 482.892 | − | 156.901i | 0.749832 | − | 0.243635i | ||||
\(645\) | 153.208 | − | 114.164i | 0.237532 | − | 0.176998i | ||||
\(646\) | 31.1895 | − | 95.9915i | 0.0482810 | − | 0.148594i | ||||
\(647\) | −219.433 | + | 675.344i | −0.339154 | + | 1.04381i | 0.625485 | + | 0.780236i | \(0.284901\pi\) |
−0.964639 | + | 0.263573i | \(0.915099\pi\) | |||||||
\(648\) | 1448.04 | − | 117.400i | 2.23463 | − | 0.181173i | ||||
\(649\) | −146.486 | −0.225710 | ||||||||
\(650\) | 1401.90 | − | 984.030i | 2.15677 | − | 1.51389i | ||||
\(651\) | −54.4909 | + | 395.677i | −0.0837034 | + | 0.607798i | ||||
\(652\) | 1142.38 | + | 1572.35i | 1.75211 | + | 2.41158i | ||||
\(653\) | −206.777 | + | 636.394i | −0.316657 | + | 0.974570i | 0.658410 | + | 0.752660i | \(0.271229\pi\) |
−0.975067 | + | 0.221911i | \(0.928771\pi\) | |||||||
\(654\) | −782.899 | + | 1616.54i | −1.19709 | + | 2.47177i | ||||
\(655\) | −146.526 | + | 878.714i | −0.223704 | + | 1.34155i | ||||
\(656\) | −537.175 | + | 174.539i | −0.818864 | + | 0.266065i | ||||
\(657\) | 201.593 | − | 718.036i | 0.306839 | − | 1.09290i | ||||
\(658\) | 518.661 | − | 168.523i | 0.788238 | − | 0.256114i | ||||
\(659\) | 149.113 | − | 205.236i | 0.226271 | − | 0.311436i | −0.680754 | − | 0.732512i | \(-0.738348\pi\) |
0.907025 | + | 0.421076i | \(0.138348\pi\) | |||||||
\(660\) | −288.125 | − | 204.066i | −0.436553 | − | 0.309191i | ||||
\(661\) | 378.243 | − | 274.810i | 0.572228 | − | 0.415748i | −0.263686 | − | 0.964609i | \(-0.584938\pi\) |
0.835914 | + | 0.548860i | \(0.184938\pi\) | |||||||
\(662\) | −737.262 | − | 535.652i | −1.11369 | − | 0.809142i | ||||
\(663\) | −79.5717 | + | 82.8572i | −0.120018 | + | 0.124973i | ||||
\(664\) | 1628.12 | − | 1182.90i | 2.45199 | − | 1.78147i | ||||
\(665\) | −110.071 | + | 660.093i | −0.165520 | + | 0.992620i | ||||
\(666\) | −1475.91 | + | 1166.34i | −2.21608 | + | 1.75126i | ||||
\(667\) | −138.511 | + | 45.0051i | −0.207663 | + | 0.0674739i | ||||
\(668\) | −1515.98 | −2.26943 | ||||||||
\(669\) | −1270.42 | + | 227.641i | −1.89898 | + | 0.340271i | ||||
\(670\) | 508.667 | + | 1018.76i | 0.759204 | + | 1.52053i | ||||
\(671\) | −9.66320 | − | 3.13976i | −0.0144012 | − | 0.00467923i | ||||
\(672\) | 822.091 | + | 398.144i | 1.22335 | + | 0.592477i | ||||
\(673\) | −467.186 | − | 643.026i | −0.694184 | − | 0.955462i | −0.999994 | − | 0.00336953i | \(-0.998927\pi\) |
0.305811 | − | 0.952092i | \(-0.401073\pi\) | |||||||
\(674\) | − | 771.808i | − | 1.14512i | ||||||
\(675\) | −497.999 | − | 455.655i | −0.737776 | − | 0.675045i | ||||
\(676\) | −1729.81 | −2.55889 | ||||||||
\(677\) | 1011.31 | − | 734.760i | 1.49381 | − | 1.08532i | 0.521045 | − | 0.853529i | \(-0.325542\pi\) |
0.972766 | − | 0.231789i | \(-0.0744578\pi\) | |||||||
\(678\) | 976.402 | − | 2016.08i | 1.44012 | − | 2.97357i | ||||
\(679\) | 143.314 | − | 441.074i | 0.211066 | − | 0.649593i | ||||
\(680\) | 26.7933 | + | 178.574i | 0.0394019 | + | 0.262610i | ||||
\(681\) | −65.2078 | − | 363.912i | −0.0957531 | − | 0.534378i | ||||
\(682\) | 130.717i | 0.191668i | ||||||||
\(683\) | −129.140 | − | 397.451i | −0.189077 | − | 0.581920i | 0.810917 | − | 0.585161i | \(-0.198969\pi\) |
−0.999995 | + | 0.00324052i | \(0.998969\pi\) | |||||||
\(684\) | −697.112 | − | 882.140i | −1.01917 | − | 1.28968i | ||||
\(685\) | −45.9395 | + | 22.9377i | −0.0670650 | + | 0.0334856i | ||||
\(686\) | 111.405 | + | 153.336i | 0.162399 | + | 0.223522i | ||||
\(687\) | −587.711 | − | 564.407i | −0.855474 | − | 0.821552i | ||||
\(688\) | −214.881 | + | 295.759i | −0.312327 | + | 0.429882i | ||||
\(689\) | −568.023 | − | 781.816i | −0.824416 | − | 1.13471i | ||||
\(690\) | 300.930 | − | 101.811i | 0.436130 | − | 0.147552i | ||||
\(691\) | −223.108 | − | 162.097i | −0.322877 | − | 0.234584i | 0.414525 | − | 0.910038i | \(-0.363948\pi\) |
−0.737402 | + | 0.675454i | \(0.763948\pi\) | |||||||
\(692\) | 127.388 | + | 392.059i | 0.184086 | + | 0.566559i | ||||
\(693\) | −218.511 | − | 61.3485i | −0.315312 | − | 0.0885259i | ||||
\(694\) | −19.4867 | − | 59.9739i | −0.0280788 | − | 0.0864177i | ||||
\(695\) | 1.58555 | + | 10.5675i | 0.00228137 | + | 0.0152051i | ||||
\(696\) | −1199.69 | − | 581.019i | −1.72370 | − | 0.834798i | ||||
\(697\) | −37.6872 | − | 12.2453i | −0.0540706 | − | 0.0175686i | ||||
\(698\) | −1453.73 | + | 1056.20i | −2.08271 | + | 1.51318i | ||||
\(699\) | 874.757 | + | 120.468i | 1.25144 | + | 0.172343i | ||||
\(700\) | −633.662 | − | 2064.11i | −0.905232 | − | 2.94873i | ||||
\(701\) | 817.743i | 1.16654i | 0.812279 | + | 0.583269i | \(0.198227\pi\) | ||||
−0.812279 | + | 0.583269i | \(0.801773\pi\) | |||||||
\(702\) | 399.627 | + | 1806.13i | 0.569269 | + | 2.57283i | ||||
\(703\) | 767.746 | + | 249.456i | 1.09210 | + | 0.354845i | ||||
\(704\) | −1.92046 | − | 0.623995i | −0.00272793 | − | 0.000886357i | ||||
\(705\) | 223.604 | − | 75.6500i | 0.317169 | − | 0.107305i | ||||
\(706\) | 416.252 | + | 1281.09i | 0.589592 | + | 1.81458i | ||||
\(707\) | 196.490 | 0.277920 | ||||||||
\(708\) | 1481.48 | − | 265.461i | 2.09249 | − | 0.374945i | ||||
\(709\) | −530.616 | − | 385.515i | −0.748401 | − | 0.543745i | 0.146930 | − | 0.989147i | \(-0.453061\pi\) |
−0.895331 | + | 0.445402i | \(0.853061\pi\) | |||||||
\(710\) | −231.634 | + | 1389.10i | −0.326245 | + | 1.95648i | ||||
\(711\) | 881.838 | − | 326.509i | 1.24028 | − | 0.459225i | ||||
\(712\) | −282.243 | + | 388.474i | −0.396408 | + | 0.545609i | ||||
\(713\) | −65.8274 | − | 47.8264i | −0.0923246 | − | 0.0670777i | ||||
\(714\) | 98.7890 | + | 184.559i | 0.138360 | + | 0.258487i | ||||
\(715\) | 114.976 | − | 221.178i | 0.160806 | − | 0.309340i | ||||
\(716\) | 352.173 | − | 484.724i | 0.491861 | − | 0.676989i | ||||
\(717\) | 138.831 | − | 24.8765i | 0.193627 | − | 0.0346953i | ||||
\(718\) | − | 302.850i | − | 0.421796i | ||||||
\(719\) | 810.675 | − | 263.404i | 1.12750 | − | 0.366348i | 0.314877 | − | 0.949133i | \(-0.398037\pi\) |
0.812627 | + | 0.582785i | \(0.198037\pi\) | |||||||
\(720\) | 1169.08 | + | 548.870i | 1.62373 | + | 0.762319i | ||||
\(721\) | −406.513 | + | 1251.12i | −0.563818 | + | 1.73525i | ||||
\(722\) | 186.365 | − | 573.571i | 0.258123 | − | 0.794420i | ||||
\(723\) | 270.667 | − | 144.880i | 0.374366 | − | 0.200387i | ||||
\(724\) | −797.587 | −1.10164 | ||||||||
\(725\) | 181.758 | + | 592.064i | 0.250701 | + | 0.816641i | ||||
\(726\) | 1221.92 | + | 168.278i | 1.68309 | + | 0.231788i | ||||
\(727\) | 791.959 | + | 1090.04i | 1.08935 | + | 1.49937i | 0.848789 | + | 0.528732i | \(0.177332\pi\) |
0.240564 | + | 0.970633i | \(0.422668\pi\) | |||||||
\(728\) | −1013.90 | + | 3120.45i | −1.39271 | + | 4.28633i | ||||
\(729\) | 660.952 | − | 307.543i | 0.906656 | − | 0.421870i | ||||
\(730\) | 1064.04 | − | 1046.84i | 1.45759 | − | 1.43402i | ||||
\(731\) | −24.3929 | + | 7.92575i | −0.0333693 | + | 0.0108423i | ||||
\(732\) | 103.419 | + | 14.2424i | 0.141282 | + | 0.0194568i | ||||
\(733\) | 62.6609 | − | 20.3598i | 0.0854855 | − | 0.0277759i | −0.265962 | − | 0.963984i | \(-0.585690\pi\) |
0.351448 | + | 0.936208i | \(0.385690\pi\) | |||||||
\(734\) | −472.075 | + | 649.755i | −0.643154 | + | 0.885225i | ||||
\(735\) | −390.151 | − | 523.584i | −0.530817 | − | 0.712359i | ||||
\(736\) | −150.543 | + | 109.376i | −0.204543 | + | 0.148609i | ||||
\(737\) | 134.073 | + | 97.4100i | 0.181918 | + | 0.132171i | ||||
\(738\) | −500.632 | + | 395.624i | −0.678363 | + | 0.536076i | ||||
\(739\) | −107.932 | + | 78.4173i | −0.146052 | + | 0.106113i | −0.658412 | − | 0.752658i | \(-0.728771\pi\) |
0.512360 | + | 0.858771i | \(0.328771\pi\) | |||||||
\(740\) | −2575.77 | + | 386.468i | −3.48077 | + | 0.522254i | ||||
\(741\) | 549.845 | − | 572.548i | 0.742031 | − | 0.772669i | ||||
\(742\) | −1674.79 | + | 544.172i | −2.25713 | + | 0.733385i | ||||
\(743\) | 1069.77 | 1.43980 | 0.719899 | − | 0.694079i | \(-0.244188\pi\) | ||||
0.719899 | + | 0.694079i | \(0.244188\pi\) | |||||||
\(744\) | −131.352 | − | 733.048i | −0.176548 | − | 0.985279i | ||||
\(745\) | 393.190 | + | 204.394i | 0.527772 | + | 0.274355i | ||||
\(746\) | −466.072 | − | 151.436i | −0.624762 | − | 0.202997i | ||||
\(747\) | 560.048 | − | 840.315i | 0.749730 | − | 1.12492i | ||||
\(748\) | 27.8583 | + | 38.3437i | 0.0372438 | + | 0.0512617i | ||||
\(749\) | 1256.59i | 1.67768i | ||||||||
\(750\) | −412.036 | − | 1286.60i | −0.549381 | − | 1.71547i | ||||
\(751\) | 6.50034 | 0.00865559 | 0.00432779 | − | 0.999991i | \(-0.498622\pi\) | ||||
0.00432779 | + | 0.999991i | \(0.498622\pi\) | |||||||
\(752\) | −365.398 | + | 265.477i | −0.485902 | + | 0.353028i | ||||
\(753\) | −877.102 | − | 424.786i | −1.16481 | − | 0.564125i | ||||
\(754\) | 524.483 | − | 1614.19i | 0.695601 | − | 2.14084i | ||||
\(755\) | 88.1512 | − | 169.575i | 0.116757 | − | 0.224603i | ||||
\(756\) | 2321.09 | + | 224.463i | 3.07023 | + | 0.296908i | ||||
\(757\) | − | 156.229i | − | 0.206380i | −0.994662 | − | 0.103190i | \(-0.967095\pi\) | ||
0.994662 | − | 0.103190i | \(-0.0329049\pi\) | |||||||
\(758\) | −525.987 | − | 1618.82i | −0.693915 | − | 2.13565i | ||||
\(759\) | 32.0258 | − | 33.3481i | 0.0421947 | − | 0.0439369i | ||||
\(760\) | −185.143 | − | 1233.96i | −0.243609 | − | 1.62363i | ||||
\(761\) | 609.523 | + | 838.937i | 0.800950 | + | 1.10241i | 0.992657 | + | 0.120961i | \(0.0385977\pi\) |
−0.191707 | + | 0.981452i | \(0.561402\pi\) | |||||||
\(762\) | −9.68017 | + | 10.0799i | −0.0127036 | + | 0.0132282i | ||||
\(763\) | −939.652 | + | 1293.32i | −1.23152 | + | 1.69505i | ||||
\(764\) | −1394.48 | − | 1919.33i | −1.82523 | − | 2.51222i | ||||
\(765\) | 43.7220 | + | 79.3640i | 0.0571529 | + | 0.103744i | ||||
\(766\) | −474.957 | − | 345.076i | −0.620048 | − | 0.450491i | ||||
\(767\) | 328.370 | + | 1010.62i | 0.428123 | + | 1.31763i | ||||
\(768\) | 1376.13 | + | 189.516i | 1.79184 | + | 0.246765i | ||||
\(769\) | −98.3002 | − | 302.537i | −0.127829 | − | 0.393416i | 0.866577 | − | 0.499043i | \(-0.166315\pi\) |
−0.994406 | + | 0.105627i | \(0.966315\pi\) | |||||||
\(770\) | −318.571 | − | 323.807i | −0.413729 | − | 0.420529i | ||||
\(771\) | 13.9852 | − | 28.8768i | 0.0181391 | − | 0.0374537i | ||||
\(772\) | −1860.19 | − | 604.414i | −2.40958 | − | 0.782920i | ||||
\(773\) | 511.311 | − | 371.489i | 0.661464 | − | 0.480581i | −0.205693 | − | 0.978617i | \(-0.565945\pi\) |
0.867157 | + | 0.498035i | \(0.165945\pi\) | |||||||
\(774\) | −111.635 | + | 397.624i | −0.144232 | + | 0.513726i | ||||
\(775\) | −207.919 | + | 276.580i | −0.268283 | + | 0.356878i | ||||
\(776\) | 864.729i | 1.11434i | ||||||||
\(777\) | −1476.12 | + | 790.121i | −1.89977 | + | 1.01689i | ||||
\(778\) | −206.169 | − | 66.9882i | −0.264998 | − | 0.0861031i | ||||
\(779\) | 260.421 | + | 84.6158i | 0.334301 | + | 0.108621i | ||||
\(780\) | −761.996 | + | 2445.25i | −0.976918 | + | 3.13494i | ||||
\(781\) | 63.3363 | + | 194.929i | 0.0810964 | + | 0.249589i | ||||
\(782\) | −42.6454 | −0.0545338 | ||||||||
\(783\) | −665.776 | − | 64.3843i | −0.850289 | − | 0.0822277i | ||||
\(784\) | 1010.74 | + | 734.349i | 1.28921 | + | 0.936669i | ||||
\(785\) | −106.660 | − | 55.4455i | −0.135872 | − | 0.0706312i | ||||
\(786\) | −908.726 | − | 1697.70i | −1.15614 | − | 2.15992i | ||||
\(787\) | −289.858 | + | 398.956i | −0.368308 | + | 0.506933i | −0.952440 | − | 0.304726i | \(-0.901435\pi\) |
0.584132 | + | 0.811659i | \(0.301435\pi\) | |||||||
\(788\) | 2509.99 | + | 1823.62i | 3.18527 | + | 2.31423i | ||||
\(789\) | −722.328 | + | 386.640i | −0.915498 | + | 0.490038i | ||||
\(790\) | 1856.40 | + | 309.556i | 2.34988 | + | 0.391843i | ||||
\(791\) | 1171.90 | − | 1612.98i | 1.48154 | − | 2.03917i | ||||
\(792\) | 422.833 | − | 17.1126i | 0.533880 | − | 0.0216068i | ||||
\(793\) | 73.7057i | 0.0929454i | ||||||||
\(794\) | 1713.83 | − | 556.856i | 2.15847 | − | 0.701330i | ||||
\(795\) | −722.031 | + | 244.279i | −0.908215 | + | 0.307269i | ||||
\(796\) | 334.351 | − | 1029.03i | 0.420039 | − | 1.29275i | ||||
\(797\) | −358.323 | + | 1102.81i | −0.449590 | + | 1.38370i | 0.427781 | + | 0.903883i | \(0.359296\pi\) |
−0.877371 | + | 0.479813i | \(0.840704\pi\) | |||||||
\(798\) | −682.638 | − | 1275.32i | −0.855436 | − | 1.59814i | ||||
\(799\) | −31.6874 | −0.0396588 | ||||||||
\(800\) | 454.627 | + | 647.686i | 0.568284 | + | 0.809608i | ||||
\(801\) | −65.1303 | + | 231.982i | −0.0813113 | + | 0.289615i | ||||
\(802\) | −782.599 | − | 1077.16i | −0.975810 | − | 1.34309i | ||||
\(803\) | 67.1314 | − | 206.609i | 0.0836007 | − | 0.257296i | ||||
\(804\) | −1532.48 | − | 742.190i | −1.90607 | − | 0.923121i | ||||
\(805\) | 279.623 | − | 41.9545i | 0.347357 | − | 0.0521174i | ||||
\(806\) | 901.832 | − | 293.023i | 1.11890 | − | 0.363552i | ||||
\(807\) | −133.757 | + | 971.256i | −0.165746 | + | 1.20354i | ||||
\(808\) | −348.434 | + | 113.213i | −0.431231 | + | 0.140115i | ||||
\(809\) | −563.323 | + | 775.348i | −0.696320 | + | 0.958402i | 0.303664 | + | 0.952779i | \(0.401790\pi\) |
−0.999984 | + | 0.00562325i | \(0.998210\pi\) | |||||||
\(810\) | 1453.86 | + | 122.898i | 1.79489 | + | 0.151726i | ||||
\(811\) | 189.458 | − | 137.649i | 0.233610 | − | 0.169727i | −0.464822 | − | 0.885404i | \(-0.653882\pi\) |
0.698432 | + | 0.715677i | \(0.253882\pi\) | |||||||
\(812\) | −1730.99 | − | 1257.63i | −2.13176 | − | 1.54881i | ||||
\(813\) | −216.728 | − | 208.134i | −0.266578 | − | 0.256007i | ||||
\(814\) | −443.301 | + | 322.077i | −0.544596 | + | 0.395672i | ||||
\(815\) | 483.485 | + | 968.323i | 0.593233 | + | 1.18813i | ||||
\(816\) | −125.046 | − | 120.087i | −0.153242 | − | 0.147166i | ||||
\(817\) | 168.557 | − | 54.7674i | 0.206312 | − | 0.0670347i | ||||
\(818\) | −982.950 | −1.20165 | ||||||||
\(819\) | 66.5775 | + | 1645.05i | 0.0812912 | + | 2.00861i | ||||
\(820\) | −873.704 | + | 131.090i | −1.06549 | + | 0.159866i | ||||
\(821\) | −532.681 | − | 173.079i | −0.648820 | − | 0.210814i | −0.0339260 | − | 0.999424i | \(-0.510801\pi\) |
−0.614894 | + | 0.788610i | \(0.710801\pi\) | |||||||
\(822\) | 48.3783 | − | 99.8919i | 0.0588544 | − | 0.121523i | ||||
\(823\) | −534.506 | − | 735.685i | −0.649461 | − | 0.893906i | 0.349615 | − | 0.936894i | \(-0.386312\pi\) |
−0.999076 | + | 0.0429873i | \(0.986312\pi\) | |||||||
\(824\) | − | 2452.83i | − | 2.97673i | ||||||
\(825\) | −139.575 | − | 138.484i | −0.169182 | − | 0.167859i | ||||
\(826\) | 1936.37 | 2.34427 | ||||||||
\(827\) | −687.080 | + | 499.193i | −0.830810 | + | 0.603619i | −0.919788 | − | 0.392415i | \(-0.871640\pi\) |
0.0889782 | + | 0.996034i | \(0.471640\pi\) | |||||||
\(828\) | −263.460 | + | 395.304i | −0.318188 | + | 0.477420i | ||||
\(829\) | −270.730 | + | 833.223i | −0.326575 | + | 1.00509i | 0.644150 | + | 0.764899i | \(0.277211\pi\) |
−0.970725 | + | 0.240194i | \(0.922789\pi\) | |||||||
\(830\) | 1808.26 | − | 902.866i | 2.17863 | − | 1.08779i | ||||
\(831\) | 726.484 | − | 130.176i | 0.874228 | − | 0.156649i | ||||
\(832\) | 14.6482i | 0.0176060i | ||||||||
\(833\) | 27.0859 | + | 83.3620i | 0.0325161 | + | 0.100074i | ||||
\(834\) | −16.6596 | − | 15.9990i | −0.0199756 | − | 0.0191835i | ||||
\(835\) | −832.725 | − | 138.857i | −0.997275 | − | 0.166296i | ||||
\(836\) | −192.503 | − | 264.957i | −0.230266 | − | 0.316935i | ||||
\(837\) | −189.533 | − | 322.067i | −0.226443 | − | 0.384787i | ||||
\(838\) | −120.743 | + | 166.188i | −0.144084 | + | 0.198315i | ||||
\(839\) | 130.501 | + | 179.620i | 0.155544 | + | 0.214088i | 0.879676 | − | 0.475573i | \(-0.157759\pi\) |
−0.724132 | + | 0.689661i | \(0.757759\pi\) | |||||||
\(840\) | 2111.89 | + | 1495.76i | 2.51415 | + | 1.78066i | ||||
\(841\) | −183.872 | − | 133.591i | −0.218635 | − | 0.158847i | ||||
\(842\) | −401.299 | − | 1235.07i | −0.476603 | − | 1.46683i | ||||
\(843\) | −212.121 | + | 1540.28i | −0.251627 | + | 1.82714i | ||||
\(844\) | −30.8239 | − | 94.8663i | −0.0365212 | − | 0.112401i | ||||
\(845\) | −950.178 | − | 158.443i | −1.12447 | − | 0.187506i | ||||
\(846\) | −282.975 | + | 424.585i | −0.334486 | + | 0.501874i | ||||
\(847\) | 1044.09 | + | 339.246i | 1.23269 | + | 0.400527i | ||||
\(848\) | 1179.89 | − | 857.242i | 1.39138 | − | 1.01090i | ||||
\(849\) | 147.482 | − | 1070.92i | 0.173713 | − | 1.26138i | ||||
\(850\) | −2.95617 | + | 181.327i | −0.00347785 | + | 0.213325i | ||||
\(851\) | − | 341.081i | − | 0.400800i | ||||||
\(852\) | −993.802 | − | 1856.64i | −1.16643 | − | 2.17915i | ||||
\(853\) | 922.928 | + | 299.877i | 1.08198 | + | 0.351556i | 0.795142 | − | 0.606423i | \(-0.207396\pi\) |
0.286837 | + | 0.957980i | \(0.407396\pi\) | |||||||
\(854\) | 127.736 | + | 41.5040i | 0.149574 | + | 0.0485995i | ||||
\(855\) | −302.121 | − | 548.410i | −0.353358 | − | 0.641415i | ||||
\(856\) | −724.017 | − | 2228.30i | −0.845815 | − | 2.60315i | ||||
\(857\) | −856.183 | −0.999046 | −0.499523 | − | 0.866300i | \(-0.666491\pi\) | ||||
−0.499523 | + | 0.866300i | \(0.666491\pi\) | |||||||
\(858\) | 95.0363 | + | 530.378i | 0.110765 | + | 0.618157i | ||||
\(859\) | −688.166 | − | 499.982i | −0.801125 | − | 0.582051i | 0.110119 | − | 0.993918i | \(-0.464877\pi\) |
−0.911244 | + | 0.411867i | \(0.864877\pi\) | |||||||
\(860\) | −407.629 | + | 401.038i | −0.473987 | + | 0.466323i | ||||
\(861\) | −500.701 | + | 268.010i | −0.581535 | + | 0.311278i | ||||
\(862\) | 527.228 | − | 725.667i | 0.611633 | − | 0.841841i | ||||
\(863\) | 1204.33 | + | 874.998i | 1.39552 | + | 1.01390i | 0.995234 | + | 0.0975119i | \(0.0310884\pi\) |
0.400284 | + | 0.916391i | \(0.368912\pi\) | |||||||
\(864\) | −834.441 | + | 184.630i | −0.965788 | + | 0.213692i | ||||
\(865\) | 34.0628 | + | 227.025i | 0.0393789 | + | 0.262457i | ||||
\(866\) | −781.379 | + | 1075.48i | −0.902286 | + | 1.24189i | ||||
\(867\) | 150.773 | + | 841.435i | 0.173902 | + | 0.970513i | ||||
\(868\) | − | 1195.38i | − | 1.37717i | ||||||
\(869\) | 260.504 | − | 84.6429i | 0.299774 | − | 0.0974026i | ||||
\(870\) | −1092.47 | − | 773.748i | −1.25571 | − | 0.889365i | ||||
\(871\) | 371.495 | − | 1143.35i | 0.426516 | − | 1.31268i | ||||
\(872\) | 921.098 | − | 2834.85i | 1.05630 | − | 3.25097i | ||||
\(873\) | 150.665 | + | 406.918i | 0.172583 | + | 0.466114i | ||||
\(874\) | 294.682 | 0.337165 | ||||||||
\(875\) | −159.005 | − | 1191.85i | −0.181720 | − | 1.36212i | ||||
\(876\) | −304.517 | + | 2211.20i | −0.347622 | + | 2.52420i | ||||
\(877\) | 269.400 | + | 370.798i | 0.307184 | + | 0.422802i | 0.934500 | − | 0.355962i | \(-0.115847\pi\) |
−0.627317 | + | 0.778764i | \(0.715847\pi\) | |||||||
\(878\) | −115.414 | + | 355.208i | −0.131451 | + | 0.404565i | ||||
\(879\) | 337.199 | − | 696.251i | 0.383617 | − | 0.792095i | ||||
\(880\) | 333.796 | + | 173.519i | 0.379313 | + | 0.197180i | ||||
\(881\) | 107.500 | − | 34.9287i | 0.122020 | − | 0.0396467i | −0.247371 | − | 0.968921i | \(-0.579567\pi\) |
0.369390 | + | 0.929274i | \(0.379567\pi\) | |||||||
\(882\) | 1358.86 | + | 381.510i | 1.54066 | + | 0.432551i | ||||
\(883\) | 1390.39 | − | 451.764i | 1.57462 | − | 0.511624i | 0.613953 | − | 0.789342i | \(-0.289578\pi\) |
0.960663 | + | 0.277718i | \(0.0895782\pi\) | |||||||
\(884\) | 202.088 | − | 278.151i | 0.228607 | − | 0.314650i | ||||
\(885\) | 838.090 | − | 10.1195i | 0.946995 | − | 0.0114344i | ||||
\(886\) | −1778.29 | + | 1292.00i | −2.00710 | + | 1.45824i | ||||
\(887\) | 3.82980 | + | 2.78251i | 0.00431770 | + | 0.00313699i | 0.589942 | − | 0.807446i | \(-0.299151\pi\) |
−0.585624 | + | 0.810583i | \(0.699151\pi\) | |||||||
\(888\) | 2162.34 | − | 2251.62i | 2.43507 | − | 2.53561i | ||||
\(889\) | −10.0630 | + | 7.31120i | −0.0113195 | + | 0.00822407i | ||||
\(890\) | −343.768 | + | 338.210i | −0.386257 | + | 0.380011i | ||||
\(891\) | 195.992 | − | 81.7247i | 0.219969 | − | 0.0917224i | ||||
\(892\) | 3673.68 | − | 1193.65i | 4.11848 | − | 1.33817i | ||||
\(893\) | 218.962 | 0.245198 | ||||||||
\(894\) | −942.857 | + | 168.947i | −1.05465 | + | 0.188978i | ||||
\(895\) | 237.846 | − | 234.000i | 0.265750 | − | 0.261453i | ||||
\(896\) | 1183.68 | + | 384.602i | 1.32108 | + | 0.429243i | ||||
\(897\) | −301.863 | − | 146.194i | −0.336525 | − | 0.162981i | ||||
\(898\) | −35.7321 | − | 49.1811i | −0.0397908 | − | 0.0547673i | ||||
\(899\) | 342.880i | 0.381401i | ||||||||
\(900\) | 1662.55 | + | 1147.62i | 1.84728 | + | 1.27514i | ||||
\(901\) | 102.321 | 0.113563 | ||||||||
\(902\) | −150.368 | + | 109.249i | −0.166705 | + | 0.121119i | ||||
\(903\) | −160.222 | + | 330.827i | −0.177433 | + | 0.366365i | ||||
\(904\) | −1148.76 | + | 3535.51i | −1.27075 | + | 3.91097i | ||||
\(905\) | −438.112 | − | 73.0555i | −0.484102 | − | 0.0807243i | ||||
\(906\) | 72.8633 | + | 406.636i | 0.0804231 | + | 0.448825i | ||||
\(907\) | − | 1145.45i | − | 1.26290i | −0.775416 | − | 0.631451i | \(-0.782460\pi\) | ||
0.775416 | − | 0.631451i | \(-0.217540\pi\) | |||||||
\(908\) | 341.922 | + | 1052.33i | 0.376566 | + | 1.15895i | ||||
\(909\) | −144.238 | + | 113.984i | −0.158678 | + | 0.125395i | ||||
\(910\) | −1519.85 | + | 2923.72i | −1.67017 | + | 3.21288i | ||||
\(911\) | 534.006 | + | 734.996i | 0.586176 | + | 0.806802i | 0.994355 | − | 0.106100i | \(-0.0338363\pi\) |
−0.408180 | + | 0.912902i | \(0.633836\pi\) | |||||||
\(912\) | 864.071 | + | 829.809i | 0.947447 | + | 0.909878i | ||||
\(913\) | 172.899 | − | 237.976i | 0.189375 | − | 0.260652i | ||||
\(914\) | 10.1737 | + | 14.0029i | 0.0111309 | + | 0.0153204i | ||||
\(915\) | 55.5031 | + | 17.2960i | 0.0606591 | + | 0.0189028i | ||||
\(916\) | 1972.94 | + | 1433.43i | 2.15387 | + | 1.56487i | ||||
\(917\) | −529.612 | − | 1629.98i | −0.577549 | − | 1.77751i | ||||
\(918\) | −179.582 | − | 78.1726i | −0.195623 | − | 0.0851554i | ||||
\(919\) | 342.604 | + | 1054.43i | 0.372801 | + | 1.14736i | 0.944950 | + | 0.327215i | \(0.106110\pi\) |
−0.572149 | + | 0.820150i | \(0.693890\pi\) | |||||||
\(920\) | −471.680 | + | 235.510i | −0.512696 | + | 0.255989i | ||||
\(921\) | −1186.20 | − | 574.486i | −1.28795 | − | 0.623763i | ||||
\(922\) | 648.826 | + | 210.816i | 0.703716 | + | 0.228651i | ||||
\(923\) | 1202.86 | − | 873.927i | 1.30320 | − | 0.946833i | ||||
\(924\) | 672.907 | + | 92.6700i | 0.728255 | + | 0.100292i | ||||
\(925\) | −1450.26 | − | 23.6436i | −1.56785 | − | 0.0255607i | ||||
\(926\) | 651.791i | 0.703878i | ||||||||
\(927\) | −427.366 | − | 1154.23i | −0.461021 | − | 1.24513i | ||||
\(928\) | 745.767 | + | 242.314i | 0.803628 | + | 0.261115i | ||||
\(929\) | 342.348 | + | 111.235i | 0.368512 | + | 0.119737i | 0.487418 | − | 0.873169i | \(-0.337939\pi\) |
−0.118906 | + | 0.992905i | \(0.537939\pi\) | |||||||
\(930\) | −9.03016 | − | 747.875i | −0.00970985 | − | 0.804166i | ||||
\(931\) | −187.165 | − | 576.036i | −0.201037 | − | 0.618728i | ||||
\(932\) | −2642.73 | −2.83555 | ||||||||
\(933\) | 952.319 | − | 170.642i | 1.02071 | − | 0.182896i | ||||
\(934\) | −152.989 | − | 111.153i | −0.163800 | − | 0.119008i | ||||
\(935\) | 11.7904 | + | 23.6138i | 0.0126100 | + | 0.0252554i | ||||
\(936\) | −1065.91 | − | 2878.81i | −1.13879 | − | 3.07565i | ||||
\(937\) | −326.208 | + | 448.987i | −0.348141 | + | 0.479175i | −0.946797 | − | 0.321831i | \(-0.895702\pi\) |
0.598656 | + | 0.801006i | \(0.295702\pi\) | |||||||
\(938\) | −1772.29 | − | 1287.64i | −1.88944 | − | 1.37276i | ||||
\(939\) | 721.672 | + | 1348.24i | 0.768554 | + | 1.43583i | ||||
\(940\) | −632.069 | + | 315.592i | −0.672413 | + | 0.335737i | ||||
\(941\) | 701.066 | − | 964.935i | 0.745023 | − | 1.02544i | −0.253291 | − | 0.967390i | \(-0.581513\pi\) |
0.998314 | − | 0.0580458i | \(-0.0184870\pi\) | |||||||
\(942\) | 255.766 | − | 45.8297i | 0.271514 | − | 0.0486515i | ||||
\(943\) | − | 115.695i | − | 0.122688i | ||||||
\(944\) | −1525.20 | + | 495.566i | −1.61567 | + | 0.524964i | ||||
\(945\) | 1254.41 | + | 335.899i | 1.32742 | + | 0.355448i | ||||
\(946\) | −37.1750 | + | 114.413i | −0.0392971 | + | 0.120944i | ||||
\(947\) | −98.6599 | + | 303.644i | −0.104181 | + | 0.320638i | −0.989537 | − | 0.144276i | \(-0.953915\pi\) |
0.885356 | + | 0.464914i | \(0.153915\pi\) | |||||||
\(948\) | −2481.22 | + | 1328.12i | −2.61732 | + | 1.40097i | ||||
\(949\) | −1575.90 | −1.66059 | ||||||||
\(950\) | 20.4273 | − | 1252.98i | 0.0215024 | − | 1.31892i | ||||
\(951\) | −1060.25 | − | 146.014i | −1.11488 | − | 0.153537i | ||||
\(952\) | −204.195 | − | 281.050i | −0.214491 | − | 0.295221i | ||||
\(953\) | 257.735 | − | 793.227i | 0.270446 | − | 0.832347i | −0.719943 | − | 0.694034i | \(-0.755832\pi\) |
0.990389 | − | 0.138313i | \(-0.0441681\pi\) | |||||||
\(954\) | 913.744 | − | 1371.01i | 0.957803 | − | 1.43712i | ||||
\(955\) | −590.180 | − | 1182.01i | −0.617990 | − | 1.23771i | ||||
\(956\) | −401.458 | + | 130.442i | −0.419935 | + | 0.136445i | ||||
\(957\) | −193.015 | − | 26.5812i | −0.201688 | − | 0.0277756i | ||||
\(958\) | −2945.48 | + | 957.044i | −3.07461 | + | 0.999002i | ||||
\(959\) | 58.0647 | − | 79.9192i | 0.0605471 | − | 0.0833359i | ||||
\(960\) | 11.0307 | + | 3.43740i | 0.0114903 | + | 0.00358063i | ||||
\(961\) | 622.488 | − | 452.264i | 0.647750 | − | 0.470618i | ||||
\(962\) | 3215.77 | + | 2336.39i | 3.34280 | + | 2.42868i | ||||
\(963\) | −728.949 | − | 922.427i | −0.756956 | − | 0.957869i | ||||
\(964\) | −743.337 | + | 540.066i | −0.771096 | + | 0.560234i | ||||
\(965\) | −966.438 | − | 502.389i | −1.00149 | − | 0.520610i | ||||
\(966\) | −423.343 | + | 440.823i | −0.438243 | + | 0.456338i | ||||
\(967\) | 314.182 | − | 102.084i | 0.324904 | − | 0.105568i | −0.142024 | − | 0.989863i | \(-0.545361\pi\) |
0.466927 | + | 0.884296i | \(0.345361\pi\) | |||||||
\(968\) | −2046.95 | −2.11462 | ||||||||
\(969\) | 14.8244 | + | 82.7317i | 0.0152986 | + | 0.0853785i | ||||
\(970\) | −142.843 | + | 856.623i | −0.147260 | + | 0.883117i | ||||
\(971\) | 189.425 | + | 61.5480i | 0.195083 | + | 0.0633862i | 0.404929 | − | 0.914348i | \(-0.367296\pi\) |
−0.209846 | + | 0.977734i | \(0.567296\pi\) | |||||||
\(972\) | −1834.07 | + | 1181.70i | −1.88690 | + | 1.21574i | ||||
\(973\) | −12.0837 | − | 16.6318i | −0.0124190 | − | 0.0170933i | ||||
\(974\) | 2885.04i | 2.96206i | ||||||||
\(975\) | −642.537 | + | 1273.37i | −0.659012 | + | 1.30602i | ||||
\(976\) | −111.234 | −0.113970 | ||||||||
\(977\) | −224.931 | + | 163.422i | −0.230226 | + | 0.167269i | −0.696918 | − | 0.717151i | \(-0.745446\pi\) |
0.466691 | + | 0.884420i | \(0.345446\pi\) | |||||||
\(978\) | −2105.54 | − | 1019.73i | −2.15291 | − | 1.04267i | ||||
\(979\) | −21.6887 | + | 66.7508i | −0.0221539 | + | 0.0681826i | ||||
\(980\) | 1370.53 | + | 1393.06i | 1.39850 | + | 1.42149i | ||||
\(981\) | −60.4839 | − | 1494.49i | −0.0616554 | − | 1.52343i | ||||
\(982\) | − | 179.020i | − | 0.182301i | ||||||
\(983\) | −505.381 | − | 1555.40i | −0.514121 | − | 1.58230i | −0.784875 | − | 0.619654i | \(-0.787273\pi\) |
0.270754 | − | 0.962648i | \(-0.412727\pi\) | |||||||
\(984\) | 733.469 | − | 763.754i | 0.745396 | − | 0.776173i | ||||
\(985\) | 1211.70 | + | 1231.61i | 1.23015 | + | 1.25037i | ||||
\(986\) | 105.629 | + | 145.386i | 0.107129 | + | 0.147450i | ||||
\(987\) | −314.562 | + | 327.550i | −0.318705 | + | 0.331865i | ||||
\(988\) | −1396.44 | + | 1922.04i | −1.41340 | + | 1.94538i | ||||
\(989\) | −44.0153 | − | 60.5819i | −0.0445049 | − | 0.0612557i | ||||
\(990\) | 421.696 | + | 52.8946i | 0.425956 | + | 0.0534289i | ||||
\(991\) | 714.008 | + | 518.757i | 0.720492 | + | 0.523468i | 0.886541 | − | 0.462649i | \(-0.153101\pi\) |
−0.166049 | + | 0.986117i | \(0.553101\pi\) | |||||||
\(992\) | 135.378 | + | 416.652i | 0.136470 | + | 0.420012i | ||||
\(993\) | 751.782 | + | 103.532i | 0.757082 | + | 0.104262i | ||||
\(994\) | −837.231 | − | 2576.73i | −0.842284 | − | 2.59228i | ||||
\(995\) | 277.913 | − | 534.617i | 0.279309 | − | 0.537303i | ||||
\(996\) | −1317.36 | + | 2720.10i | −1.32265 | + | 2.73102i | ||||
\(997\) | 1601.51 | + | 520.361i | 1.60632 | + | 0.521927i | 0.968661 | − | 0.248388i | \(-0.0799007\pi\) |
0.637664 | + | 0.770314i | \(0.279901\pi\) | |||||||
\(998\) | 576.957 | − | 419.184i | 0.578113 | − | 0.420024i | ||||
\(999\) | 625.229 | − | 1436.31i | 0.625855 | − | 1.43775i |
(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 | 75.3.h.a.14.18 | yes | 72 | |
3.2 | odd | 2 | inner | 75.3.h.a.14.1 | ✓ | 72 | |
5.2 | odd | 4 | 375.3.j.b.176.35 | 144 | |||
5.3 | odd | 4 | 375.3.j.b.176.2 | 144 | |||
5.4 | even | 2 | 375.3.h.a.74.1 | 72 | |||
15.2 | even | 4 | 375.3.j.b.176.1 | 144 | |||
15.8 | even | 4 | 375.3.j.b.176.36 | 144 | |||
15.14 | odd | 2 | 375.3.h.a.74.18 | 72 | |||
25.9 | even | 10 | inner | 75.3.h.a.59.1 | yes | 72 | |
25.12 | odd | 20 | 375.3.j.b.326.1 | 144 | |||
25.13 | odd | 20 | 375.3.j.b.326.36 | 144 | |||
25.16 | even | 5 | 375.3.h.a.299.18 | 72 | |||
75.38 | even | 20 | 375.3.j.b.326.2 | 144 | |||
75.41 | odd | 10 | 375.3.h.a.299.1 | 72 | |||
75.59 | odd | 10 | inner | 75.3.h.a.59.18 | yes | 72 | |
75.62 | even | 20 | 375.3.j.b.326.35 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.h.a.14.1 | ✓ | 72 | 3.2 | odd | 2 | inner | |
75.3.h.a.14.18 | yes | 72 | 1.1 | even | 1 | trivial | |
75.3.h.a.59.1 | yes | 72 | 25.9 | even | 10 | inner | |
75.3.h.a.59.18 | yes | 72 | 75.59 | odd | 10 | inner | |
375.3.h.a.74.1 | 72 | 5.4 | even | 2 | |||
375.3.h.a.74.18 | 72 | 15.14 | odd | 2 | |||
375.3.h.a.299.1 | 72 | 75.41 | odd | 10 | |||
375.3.h.a.299.18 | 72 | 25.16 | even | 5 | |||
375.3.j.b.176.1 | 144 | 15.2 | even | 4 | |||
375.3.j.b.176.2 | 144 | 5.3 | odd | 4 | |||
375.3.j.b.176.35 | 144 | 5.2 | odd | 4 | |||
375.3.j.b.176.36 | 144 | 15.8 | even | 4 | |||
375.3.j.b.326.1 | 144 | 25.12 | odd | 20 | |||
375.3.j.b.326.2 | 144 | 75.38 | even | 20 | |||
375.3.j.b.326.35 | 144 | 75.62 | even | 20 | |||
375.3.j.b.326.36 | 144 | 25.13 | odd | 20 |