Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(65,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.65");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.n (of order \(6\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 263.8 | ||
Character | \(\chi\) | \(=\) | 462.263 |
Dual form | 462.2.n.f.65.8 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0.351333 | + | 1.69604i | 0.202842 | + | 0.979211i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.63087 | + | 0.941585i | −0.729349 | + | 0.421090i | −0.818184 | − | 0.574957i | \(-0.805019\pi\) |
0.0888351 | + | 0.996046i | \(0.471686\pi\) | |||||||
\(6\) | −1.29315 | + | 1.15228i | −0.527927 | + | 0.470418i | ||||
\(7\) | −1.76745 | + | 1.96879i | −0.668032 | + | 0.744132i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.75313 | + | 1.19175i | −0.917710 | + | 0.397250i | ||||
\(10\) | −1.63087 | − | 0.941585i | −0.515728 | − | 0.297755i | ||||
\(11\) | 3.18839 | − | 0.913319i | 0.961337 | − | 0.275376i | ||||
\(12\) | −1.64448 | − | 0.543759i | −0.474721 | − | 0.156970i | ||||
\(13\) | − | 1.92843i | − | 0.534849i | −0.963579 | − | 0.267425i | \(-0.913827\pi\) | ||
0.963579 | − | 0.267425i | \(-0.0861727\pi\) | |||||||
\(14\) | −2.58874 | − | 0.546260i | −0.691871 | − | 0.145994i | ||||
\(15\) | −2.16995 | − | 2.43522i | −0.560278 | − | 0.628772i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.83021 | − | 3.17001i | 0.443890 | − | 0.768841i | −0.554084 | − | 0.832461i | \(-0.686931\pi\) |
0.997974 | + | 0.0636202i | \(0.0202646\pi\) | |||||||
\(18\) | −2.40865 | − | 1.78841i | −0.567725 | − | 0.421531i | ||||
\(19\) | −2.68054 | + | 1.54761i | −0.614958 | + | 0.355046i | −0.774903 | − | 0.632080i | \(-0.782202\pi\) |
0.159945 | + | 0.987126i | \(0.448868\pi\) | |||||||
\(20\) | − | 1.88317i | − | 0.421090i | ||||||
\(21\) | −3.96011 | − | 2.30597i | −0.864168 | − | 0.503204i | ||||
\(22\) | 2.38515 | + | 2.30457i | 0.508516 | + | 0.491336i | ||||
\(23\) | −3.71066 | + | 2.14235i | −0.773726 | + | 0.446711i | −0.834202 | − | 0.551459i | \(-0.814071\pi\) |
0.0604759 | + | 0.998170i | \(0.480738\pi\) | |||||||
\(24\) | −0.351333 | − | 1.69604i | −0.0717154 | − | 0.346204i | ||||
\(25\) | −0.726834 | + | 1.25891i | −0.145367 | + | 0.251783i | ||||
\(26\) | 1.67007 | − | 0.964214i | 0.327527 | − | 0.189098i | ||||
\(27\) | −2.98853 | − | 4.25073i | −0.575142 | − | 0.818053i | ||||
\(28\) | −0.821298 | − | 2.51505i | −0.155211 | − | 0.475300i | ||||
\(29\) | 9.69651 | 1.80060 | 0.900298 | − | 0.435274i | \(-0.143348\pi\) | ||||
0.900298 | + | 0.435274i | \(0.143348\pi\) | |||||||
\(30\) | 1.02399 | − | 3.09684i | 0.186954 | − | 0.565404i | ||||
\(31\) | −5.11862 | + | 8.86571i | −0.919331 | + | 1.59233i | −0.118899 | + | 0.992906i | \(0.537936\pi\) |
−0.800433 | + | 0.599422i | \(0.795397\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 2.66921 | + | 5.08678i | 0.464651 | + | 0.885494i | ||||
\(34\) | 3.66041 | 0.627756 | ||||||||
\(35\) | 1.02870 | − | 4.87505i | 0.173882 | − | 0.824034i | ||||
\(36\) | 0.344479 | − | 2.98016i | 0.0574132 | − | 0.496693i | ||||
\(37\) | 4.15848 | + | 7.20269i | 0.683649 | + | 1.18412i | 0.973859 | + | 0.227152i | \(0.0729415\pi\) |
−0.290210 | + | 0.956963i | \(0.593725\pi\) | |||||||
\(38\) | −2.68054 | − | 1.54761i | −0.434841 | − | 0.251056i | ||||
\(39\) | 3.27070 | − | 0.677519i | 0.523731 | − | 0.108490i | ||||
\(40\) | 1.63087 | − | 0.941585i | 0.257864 | − | 0.148878i | ||||
\(41\) | −6.35661 | −0.992736 | −0.496368 | − | 0.868112i | \(-0.665333\pi\) | ||||
−0.496368 | + | 0.868112i | \(0.665333\pi\) | |||||||
\(42\) | 0.0169703 | − | 4.58254i | 0.00261858 | − | 0.707102i | ||||
\(43\) | 6.75096i | 1.02951i | 0.857337 | + | 0.514756i | \(0.172118\pi\) | ||||
−0.857337 | + | 0.514756i | \(0.827882\pi\) | |||||||
\(44\) | −0.803239 | + | 3.21789i | −0.121093 | + | 0.485115i | ||||
\(45\) | 3.36787 | − | 4.53590i | 0.502053 | − | 0.676172i | ||||
\(46\) | −3.71066 | − | 2.14235i | −0.547107 | − | 0.315872i | ||||
\(47\) | 4.43228 | − | 2.55898i | 0.646515 | − | 0.373265i | −0.140605 | − | 0.990066i | \(-0.544905\pi\) |
0.787120 | + | 0.616800i | \(0.211571\pi\) | |||||||
\(48\) | 1.29315 | − | 1.15228i | 0.186650 | − | 0.166318i | ||||
\(49\) | −0.752260 | − | 6.95946i | −0.107466 | − | 0.994209i | ||||
\(50\) | −1.45367 | −0.205580 | ||||||||
\(51\) | 6.01949 | + | 1.99038i | 0.842897 | + | 0.278709i | ||||
\(52\) | 1.67007 | + | 0.964214i | 0.231597 | + | 0.133712i | ||||
\(53\) | −2.07152 | − | 1.19599i | −0.284545 | − | 0.164282i | 0.350934 | − | 0.936400i | \(-0.385864\pi\) |
−0.635479 | + | 0.772118i | \(0.719197\pi\) | |||||||
\(54\) | 2.18698 | − | 4.71350i | 0.297610 | − | 0.641427i | ||||
\(55\) | −4.33990 | + | 4.49165i | −0.585192 | + | 0.605654i | ||||
\(56\) | 1.76745 | − | 1.96879i | 0.236185 | − | 0.263090i | ||||
\(57\) | −3.56658 | − | 4.00259i | −0.472405 | − | 0.530156i | ||||
\(58\) | 4.84825 | + | 8.39742i | 0.636607 | + | 1.10264i | ||||
\(59\) | 9.50971 | + | 5.49043i | 1.23806 | + | 0.714794i | 0.968697 | − | 0.248246i | \(-0.0798540\pi\) |
0.269362 | + | 0.963039i | \(0.413187\pi\) | |||||||
\(60\) | 3.19394 | − | 0.661619i | 0.412336 | − | 0.0854147i | ||||
\(61\) | −10.0627 | + | 5.80969i | −1.28839 | + | 0.743854i | −0.978368 | − | 0.206874i | \(-0.933671\pi\) |
−0.310025 | + | 0.950728i | \(0.600338\pi\) | |||||||
\(62\) | −10.2372 | −1.30013 | ||||||||
\(63\) | 2.51971 | − | 7.52669i | 0.317453 | − | 0.948274i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 1.81578 | + | 3.14502i | 0.225220 | + | 0.390092i | ||||
\(66\) | −3.07067 | + | 4.85500i | −0.377973 | + | 0.597609i | ||||
\(67\) | 5.56729 | − | 9.64283i | 0.680153 | − | 1.17806i | −0.294781 | − | 0.955565i | \(-0.595247\pi\) |
0.974934 | − | 0.222495i | \(-0.0714200\pi\) | |||||||
\(68\) | 1.83021 | + | 3.17001i | 0.221945 | + | 0.384420i | ||||
\(69\) | −4.93720 | − | 5.54077i | −0.594369 | − | 0.667030i | ||||
\(70\) | 4.73627 | − | 1.54664i | 0.566092 | − | 0.184859i | ||||
\(71\) | 9.77457i | 1.16003i | 0.814607 | + | 0.580014i | \(0.196953\pi\) | ||||
−0.814607 | + | 0.580014i | \(0.803047\pi\) | |||||||
\(72\) | 2.75313 | − | 1.19175i | 0.324460 | − | 0.140449i | ||||
\(73\) | −1.82066 | − | 1.05116i | −0.213092 | − | 0.123029i | 0.389655 | − | 0.920961i | \(-0.372594\pi\) |
−0.602748 | + | 0.797932i | \(0.705927\pi\) | |||||||
\(74\) | −4.15848 | + | 7.20269i | −0.483413 | + | 0.837296i | ||||
\(75\) | −2.39053 | − | 0.790445i | −0.276035 | − | 0.0912728i | ||||
\(76\) | − | 3.09522i | − | 0.355046i | ||||||
\(77\) | −3.83718 | + | 7.89152i | −0.437288 | + | 0.899322i | ||||
\(78\) | 2.22210 | + | 2.49375i | 0.251603 | + | 0.282361i | ||||
\(79\) | 9.73232 | − | 5.61896i | 1.09497 | − | 0.632182i | 0.160076 | − | 0.987105i | \(-0.448826\pi\) |
0.934896 | + | 0.354922i | \(0.115493\pi\) | |||||||
\(80\) | 1.63087 | + | 0.941585i | 0.182337 | + | 0.105272i | ||||
\(81\) | 6.15946 | − | 6.56209i | 0.684384 | − | 0.729121i | ||||
\(82\) | −3.17830 | − | 5.50499i | −0.350985 | − | 0.607924i | ||||
\(83\) | −2.34518 | −0.257417 | −0.128709 | − | 0.991682i | \(-0.541083\pi\) | ||||
−0.128709 | + | 0.991682i | \(0.541083\pi\) | |||||||
\(84\) | 3.97708 | − | 2.27658i | 0.433936 | − | 0.248395i | ||||
\(85\) | 6.89318i | 0.747671i | ||||||||
\(86\) | −5.84651 | + | 3.37548i | −0.630445 | + | 0.363988i | ||||
\(87\) | 3.40670 | + | 16.4457i | 0.365236 | + | 1.76316i | ||||
\(88\) | −3.18839 | + | 0.913319i | −0.339884 | + | 0.0973601i | ||||
\(89\) | 10.7547 | − | 6.20926i | 1.14000 | − | 0.658180i | 0.193570 | − | 0.981086i | \(-0.437993\pi\) |
0.946431 | + | 0.322907i | \(0.104660\pi\) | |||||||
\(90\) | 5.61214 | + | 0.648713i | 0.591572 | + | 0.0683803i | ||||
\(91\) | 3.79667 | + | 3.40839i | 0.397999 | + | 0.357297i | ||||
\(92\) | − | 4.28470i | − | 0.446711i | ||||||
\(93\) | −16.8350 | − | 5.56659i | −1.74571 | − | 0.577229i | ||||
\(94\) | 4.43228 | + | 2.55898i | 0.457155 | + | 0.263938i | ||||
\(95\) | 2.91441 | − | 5.04791i | 0.299013 | − | 0.517905i | ||||
\(96\) | 1.64448 | + | 0.543759i | 0.167839 | + | 0.0554972i | ||||
\(97\) | −0.0299777 | −0.00304378 | −0.00152189 | − | 0.999999i | \(-0.500484\pi\) | ||||
−0.00152189 | + | 0.999999i | \(0.500484\pi\) | |||||||
\(98\) | 5.65094 | − | 4.13121i | 0.570831 | − | 0.417315i | ||||
\(99\) | −7.68961 | + | 6.31426i | −0.772835 | + | 0.634607i | ||||
\(100\) | −0.726834 | − | 1.25891i | −0.0726834 | − | 0.125891i | ||||
\(101\) | −3.38899 | + | 5.86990i | −0.337217 | + | 0.584077i | −0.983908 | − | 0.178675i | \(-0.942819\pi\) |
0.646691 | + | 0.762752i | \(0.276152\pi\) | |||||||
\(102\) | 1.28602 | + | 6.20822i | 0.127335 | + | 0.614706i | ||||
\(103\) | 6.44521 | + | 11.1634i | 0.635065 | + | 1.09997i | 0.986501 | + | 0.163753i | \(0.0523602\pi\) |
−0.351436 | + | 0.936212i | \(0.614307\pi\) | |||||||
\(104\) | 1.92843i | 0.189098i | ||||||||
\(105\) | 8.62971 | + | 0.0319580i | 0.842174 | + | 0.00311878i | ||||
\(106\) | − | 2.39199i | − | 0.232330i | ||||||
\(107\) | 2.11847 | + | 3.66929i | 0.204800 | + | 0.354724i | 0.950069 | − | 0.312040i | \(-0.101012\pi\) |
−0.745269 | + | 0.666764i | \(0.767679\pi\) | |||||||
\(108\) | 5.17550 | − | 0.462774i | 0.498013 | − | 0.0445305i | ||||
\(109\) | −1.52333 | − | 0.879494i | −0.145908 | − | 0.0842403i | 0.425269 | − | 0.905067i | \(-0.360180\pi\) |
−0.571177 | + | 0.820827i | \(0.693513\pi\) | |||||||
\(110\) | −6.05983 | − | 1.51264i | −0.577782 | − | 0.144224i | ||||
\(111\) | −10.7551 | + | 9.58350i | −1.02083 | + | 0.909625i | ||||
\(112\) | 2.58874 | + | 0.546260i | 0.244613 | + | 0.0516167i | ||||
\(113\) | − | 7.04904i | − | 0.663118i | −0.943435 | − | 0.331559i | \(-0.892425\pi\) | ||
0.943435 | − | 0.331559i | \(-0.107575\pi\) | |||||||
\(114\) | 1.68305 | − | 5.09004i | 0.157633 | − | 0.476726i | ||||
\(115\) | 4.03441 | − | 6.98781i | 0.376211 | − | 0.651617i | ||||
\(116\) | −4.84825 | + | 8.39742i | −0.450149 | + | 0.779681i | ||||
\(117\) | 2.29820 | + | 5.30921i | 0.212469 | + | 0.490837i | ||||
\(118\) | 10.9809i | 1.01087i | ||||||||
\(119\) | 3.00629 | + | 9.20612i | 0.275586 | + | 0.843924i | ||||
\(120\) | 2.16995 | + | 2.43522i | 0.198088 | + | 0.222305i | ||||
\(121\) | 9.33170 | − | 5.82404i | 0.848336 | − | 0.529458i | ||||
\(122\) | −10.0627 | − | 5.80969i | −0.911031 | − | 0.525984i | ||||
\(123\) | −2.23328 | − | 10.7811i | −0.201368 | − | 0.972098i | ||||
\(124\) | −5.11862 | − | 8.86571i | −0.459666 | − | 0.796164i | ||||
\(125\) | − | 12.1534i | − | 1.08703i | ||||||
\(126\) | 7.77816 | − | 1.58121i | 0.692933 | − | 0.140866i | ||||
\(127\) | − | 12.5296i | − | 1.11182i | −0.831243 | − | 0.555909i | \(-0.812370\pi\) | ||
0.831243 | − | 0.555909i | \(-0.187630\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −11.4499 | + | 2.37183i | −1.00811 | + | 0.208828i | ||||
\(130\) | −1.81578 | + | 3.14502i | −0.159254 | + | 0.275837i | ||||
\(131\) | 0.954269 | + | 1.65284i | 0.0833749 | + | 0.144410i | 0.904698 | − | 0.426054i | \(-0.140097\pi\) |
−0.821323 | + | 0.570464i | \(0.806763\pi\) | |||||||
\(132\) | −5.73988 | − | 0.231780i | −0.499593 | − | 0.0201739i | ||||
\(133\) | 1.69079 | − | 8.01274i | 0.146610 | − | 0.694792i | ||||
\(134\) | 11.1346 | 0.961882 | ||||||||
\(135\) | 8.87633 | + | 4.11845i | 0.763953 | + | 0.354460i | ||||
\(136\) | −1.83021 | + | 3.17001i | −0.156939 | + | 0.271826i | ||||
\(137\) | 0.456798 | + | 0.263732i | 0.0390269 | + | 0.0225322i | 0.519386 | − | 0.854539i | \(-0.326161\pi\) |
−0.480360 | + | 0.877072i | \(0.659494\pi\) | |||||||
\(138\) | 2.32985 | − | 7.04612i | 0.198330 | − | 0.599806i | ||||
\(139\) | − | 2.83391i | − | 0.240369i | −0.992752 | − | 0.120185i | \(-0.961651\pi\) | ||
0.992752 | − | 0.120185i | \(-0.0383487\pi\) | |||||||
\(140\) | 3.70757 | + | 3.32840i | 0.313346 | + | 0.281302i | ||||
\(141\) | 5.89734 | + | 6.61829i | 0.496646 | + | 0.557361i | ||||
\(142\) | −8.46502 | + | 4.88728i | −0.710369 | + | 0.410132i | ||||
\(143\) | −1.76127 | − | 6.14858i | −0.147285 | − | 0.514170i | ||||
\(144\) | 2.40865 | + | 1.78841i | 0.200721 | + | 0.149034i | ||||
\(145\) | −15.8138 | + | 9.13009i | −1.31326 | + | 0.758213i | ||||
\(146\) | − | 2.10232i | − | 0.173989i | ||||||
\(147\) | 11.5393 | − | 3.72095i | 0.951742 | − | 0.306899i | ||||
\(148\) | −8.31695 | −0.683649 | ||||||||
\(149\) | 6.58936 | + | 11.4131i | 0.539821 | + | 0.934998i | 0.998913 | + | 0.0466093i | \(0.0148416\pi\) |
−0.459092 | + | 0.888389i | \(0.651825\pi\) | |||||||
\(150\) | −0.510721 | − | 2.46549i | −0.0417002 | − | 0.201306i | ||||
\(151\) | 16.8439 | + | 9.72486i | 1.37074 | + | 0.791398i | 0.991021 | − | 0.133704i | \(-0.0426872\pi\) |
0.379719 | + | 0.925102i | \(0.376021\pi\) | |||||||
\(152\) | 2.68054 | − | 1.54761i | 0.217421 | − | 0.125528i | ||||
\(153\) | −1.26094 | + | 10.9086i | −0.101941 | + | 0.881909i | ||||
\(154\) | −8.75285 | + | 0.622659i | −0.705324 | + | 0.0501753i | ||||
\(155\) | − | 19.2785i | − | 1.54848i | ||||||
\(156\) | −1.04860 | + | 3.17127i | −0.0839552 | + | 0.253905i | ||||
\(157\) | 1.05398 | − | 1.82555i | 0.0841170 | − | 0.145695i | −0.820898 | − | 0.571075i | \(-0.806526\pi\) |
0.905015 | + | 0.425380i | \(0.139860\pi\) | |||||||
\(158\) | 9.73232 | + | 5.61896i | 0.774262 | + | 0.447020i | ||||
\(159\) | 1.30067 | − | 3.93358i | 0.103149 | − | 0.311954i | ||||
\(160\) | 1.88317i | 0.148878i | ||||||||
\(161\) | 2.34056 | − | 11.0920i | 0.184462 | − | 0.874172i | ||||
\(162\) | 8.76267 | + | 2.05320i | 0.688460 | + | 0.161315i | ||||
\(163\) | 1.59864 | + | 2.76892i | 0.125215 | + | 0.216878i | 0.921817 | − | 0.387626i | \(-0.126705\pi\) |
−0.796602 | + | 0.604504i | \(0.793371\pi\) | |||||||
\(164\) | 3.17830 | − | 5.50499i | 0.248184 | − | 0.429867i | ||||
\(165\) | −9.14279 | − | 5.78260i | −0.711765 | − | 0.450174i | ||||
\(166\) | −1.17259 | − | 2.03099i | −0.0910108 | − | 0.157635i | ||||
\(167\) | 2.23560 | 0.172996 | 0.0864980 | − | 0.996252i | \(-0.472432\pi\) | ||||
0.0864980 | + | 0.996252i | \(0.472432\pi\) | |||||||
\(168\) | 3.96011 | + | 2.30597i | 0.305529 | + | 0.177909i | ||||
\(169\) | 9.28117 | 0.713936 | ||||||||
\(170\) | −5.96967 | + | 3.44659i | −0.457853 | + | 0.264342i | ||||
\(171\) | 5.53551 | − | 7.45531i | 0.423311 | − | 0.570122i | ||||
\(172\) | −5.84651 | − | 3.37548i | −0.445792 | − | 0.257378i | ||||
\(173\) | −6.02196 | − | 10.4303i | −0.457841 | − | 0.793005i | 0.541005 | − | 0.841019i | \(-0.318044\pi\) |
−0.998847 | + | 0.0480147i | \(0.984711\pi\) | |||||||
\(174\) | −12.5390 | + | 11.1731i | −0.950583 | + | 0.847034i | ||||
\(175\) | −1.19389 | − | 3.65605i | −0.0902499 | − | 0.276371i | ||||
\(176\) | −2.38515 | − | 2.30457i | −0.179788 | − | 0.173713i | ||||
\(177\) | −5.97095 | + | 18.0579i | −0.448804 | + | 1.35731i | ||||
\(178\) | 10.7547 | + | 6.20926i | 0.806102 | + | 0.465403i | ||||
\(179\) | −0.922959 | − | 0.532870i | −0.0689852 | − | 0.0398286i | 0.465111 | − | 0.885253i | \(-0.346015\pi\) |
−0.534096 | + | 0.845424i | \(0.679348\pi\) | |||||||
\(180\) | 2.24427 | + | 5.18462i | 0.167278 | + | 0.386438i | ||||
\(181\) | −5.88043 | −0.437089 | −0.218544 | − | 0.975827i | \(-0.570131\pi\) | ||||
−0.218544 | + | 0.975827i | \(0.570131\pi\) | |||||||
\(182\) | −1.05342 | + | 4.99221i | −0.0780848 | + | 0.370047i | ||||
\(183\) | −13.3888 | − | 15.0256i | −0.989730 | − | 1.11072i | ||||
\(184\) | 3.71066 | − | 2.14235i | 0.273554 | − | 0.157936i | ||||
\(185\) | −13.5639 | − | 7.83112i | −0.997237 | − | 0.575755i | ||||
\(186\) | −3.59668 | − | 17.3628i | −0.263721 | − | 1.27310i | ||||
\(187\) | 2.94019 | − | 11.7788i | 0.215008 | − | 0.861351i | ||||
\(188\) | 5.11796i | 0.373265i | ||||||||
\(189\) | 13.6509 | + | 1.62916i | 0.992954 | + | 0.118504i | ||||
\(190\) | 5.82883 | 0.422868 | ||||||||
\(191\) | 13.1117 | − | 7.57002i | 0.948726 | − | 0.547747i | 0.0560409 | − | 0.998428i | \(-0.482152\pi\) |
0.892685 | + | 0.450681i | \(0.148819\pi\) | |||||||
\(192\) | 0.351333 | + | 1.69604i | 0.0253552 | + | 0.122401i | ||||
\(193\) | −7.77762 | − | 4.49041i | −0.559845 | − | 0.323227i | 0.193238 | − | 0.981152i | \(-0.438101\pi\) |
−0.753083 | + | 0.657925i | \(0.771434\pi\) | |||||||
\(194\) | −0.0149889 | − | 0.0259615i | −0.00107614 | − | 0.00186392i | ||||
\(195\) | −4.69615 | + | 4.18459i | −0.336298 | + | 0.299665i | ||||
\(196\) | 6.40320 | + | 2.82825i | 0.457371 | + | 0.202018i | ||||
\(197\) | −26.3131 | −1.87473 | −0.937365 | − | 0.348348i | \(-0.886743\pi\) | ||||
−0.937365 | + | 0.348348i | \(0.886743\pi\) | |||||||
\(198\) | −9.31311 | − | 3.50227i | −0.661854 | − | 0.248896i | ||||
\(199\) | −11.1870 | + | 19.3764i | −0.793023 | + | 1.37356i | 0.131063 | + | 0.991374i | \(0.458161\pi\) |
−0.924087 | + | 0.382183i | \(0.875172\pi\) | |||||||
\(200\) | 0.726834 | − | 1.25891i | 0.0513949 | − | 0.0890186i | ||||
\(201\) | 18.3106 | + | 6.05453i | 1.29153 | + | 0.427054i | ||||
\(202\) | −6.77798 | −0.476897 | ||||||||
\(203\) | −17.1381 | + | 19.0904i | −1.20286 | + | 1.33988i | ||||
\(204\) | −4.73347 | + | 4.21784i | −0.331409 | + | 0.295308i | ||||
\(205\) | 10.3668 | − | 5.98529i | 0.724051 | − | 0.418031i | ||||
\(206\) | −6.44521 | + | 11.1634i | −0.449059 | + | 0.777793i | ||||
\(207\) | 7.66279 | − | 10.3204i | 0.532601 | − | 0.717314i | ||||
\(208\) | −1.67007 | + | 0.964214i | −0.115798 | + | 0.0668562i | ||||
\(209\) | −7.13315 | + | 7.38258i | −0.493411 | + | 0.510664i | ||||
\(210\) | 4.28718 | + | 7.48953i | 0.295844 | + | 0.516827i | ||||
\(211\) | − | 3.09207i | − | 0.212867i | −0.994320 | − | 0.106434i | \(-0.966057\pi\) | ||
0.994320 | − | 0.106434i | \(-0.0339432\pi\) | |||||||
\(212\) | 2.07152 | − | 1.19599i | 0.142273 | − | 0.0821412i | ||||
\(213\) | −16.5781 | + | 3.43412i | −1.13591 | + | 0.235302i | ||||
\(214\) | −2.11847 | + | 3.66929i | −0.144815 | + | 0.250827i | ||||
\(215\) | −6.35661 | − | 11.0100i | −0.433517 | − | 0.750874i | ||||
\(216\) | 2.98853 | + | 4.25073i | 0.203343 | + | 0.289226i | ||||
\(217\) | −8.40782 | − | 25.7472i | −0.570760 | − | 1.74783i | ||||
\(218\) | − | 1.75899i | − | 0.119134i | ||||||
\(219\) | 1.14315 | − | 3.45723i | 0.0772472 | − | 0.233618i | ||||
\(220\) | −1.71994 | − | 6.00429i | −0.115958 | − | 0.404809i | ||||
\(221\) | −6.11314 | − | 3.52942i | −0.411214 | − | 0.237415i | ||||
\(222\) | −13.6771 | − | 4.52242i | −0.917946 | − | 0.303525i | ||||
\(223\) | 17.5862 | 1.17766 | 0.588829 | − | 0.808258i | \(-0.299589\pi\) | ||||
0.588829 | + | 0.808258i | \(0.299589\pi\) | |||||||
\(224\) | 0.821298 | + | 2.51505i | 0.0548753 | + | 0.168044i | ||||
\(225\) | 0.500758 | − | 4.33216i | 0.0333839 | − | 0.288811i | ||||
\(226\) | 6.10465 | − | 3.52452i | 0.406075 | − | 0.234448i | ||||
\(227\) | −2.91997 | + | 5.05754i | −0.193805 | + | 0.335681i | −0.946508 | − | 0.322680i | \(-0.895416\pi\) |
0.752703 | + | 0.658360i | \(0.228750\pi\) | |||||||
\(228\) | 5.24963 | − | 1.08745i | 0.347665 | − | 0.0720183i | ||||
\(229\) | −9.77062 | − | 16.9232i | −0.645661 | − | 1.11832i | −0.984149 | − | 0.177346i | \(-0.943249\pi\) |
0.338488 | − | 0.940971i | \(-0.390085\pi\) | |||||||
\(230\) | 8.06883 | 0.532043 | ||||||||
\(231\) | −14.7325 | − | 3.73549i | −0.969326 | − | 0.245777i | ||||
\(232\) | −9.69651 | −0.636607 | ||||||||
\(233\) | −7.60946 | − | 13.1800i | −0.498512 | − | 0.863448i | 0.501486 | − | 0.865166i | \(-0.332787\pi\) |
−0.999999 | + | 0.00171719i | \(0.999453\pi\) | |||||||
\(234\) | −3.44881 | + | 4.64491i | −0.225456 | + | 0.303647i | ||||
\(235\) | −4.81899 | + | 8.34674i | −0.314356 | + | 0.544481i | ||||
\(236\) | −9.50971 | + | 5.49043i | −0.619029 | + | 0.357397i | ||||
\(237\) | 12.9493 | + | 14.5323i | 0.841146 | + | 0.943976i | ||||
\(238\) | −6.46959 | + | 7.20658i | −0.419361 | + | 0.467133i | ||||
\(239\) | 7.81811 | 0.505712 | 0.252856 | − | 0.967504i | \(-0.418630\pi\) | ||||
0.252856 | + | 0.967504i | \(0.418630\pi\) | |||||||
\(240\) | −1.02399 | + | 3.09684i | −0.0660984 | + | 0.199900i | ||||
\(241\) | 17.1878 | + | 9.92339i | 1.10717 | + | 0.639222i | 0.938094 | − | 0.346382i | \(-0.112590\pi\) |
0.169071 | + | 0.985604i | \(0.445923\pi\) | |||||||
\(242\) | 9.70961 | + | 5.16947i | 0.624158 | + | 0.332306i | ||||
\(243\) | 13.2936 | + | 8.14124i | 0.852786 | + | 0.522261i | ||||
\(244\) | − | 11.6194i | − | 0.743854i | ||||||
\(245\) | 7.77977 | + | 10.6417i | 0.497031 | + | 0.679872i | ||||
\(246\) | 8.22006 | − | 7.32462i | 0.524092 | − | 0.467001i | ||||
\(247\) | 2.98445 | + | 5.16923i | 0.189896 | + | 0.328910i | ||||
\(248\) | 5.11862 | − | 8.86571i | 0.325033 | − | 0.562973i | ||||
\(249\) | −0.823939 | − | 3.97753i | −0.0522150 | − | 0.252066i | ||||
\(250\) | 10.5251 | − | 6.07668i | 0.665667 | − | 0.384323i | ||||
\(251\) | − | 8.52934i | − | 0.538367i | −0.963089 | − | 0.269184i | \(-0.913246\pi\) | ||
0.963089 | − | 0.269184i | \(-0.0867538\pi\) | |||||||
\(252\) | 5.25845 | + | 5.94548i | 0.331251 | + | 0.374530i | ||||
\(253\) | −9.87440 | + | 10.2197i | −0.620798 | + | 0.642505i | ||||
\(254\) | 10.8509 | − | 6.26478i | 0.680847 | − | 0.393087i | ||||
\(255\) | −11.6911 | + | 2.42180i | −0.732128 | + | 0.151659i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.21369 | − | 2.43278i | 0.262843 | − | 0.151752i | −0.362788 | − | 0.931872i | \(-0.618175\pi\) |
0.625631 | + | 0.780119i | \(0.284842\pi\) | |||||||
\(258\) | −7.77903 | − | 8.73002i | −0.484302 | − | 0.543507i | ||||
\(259\) | −21.5305 | − | 4.54322i | −1.33784 | − | 0.282302i | ||||
\(260\) | −3.63156 | −0.225220 | ||||||||
\(261\) | −26.6958 | + | 11.5558i | −1.65243 | + | 0.715287i | ||||
\(262\) | −0.954269 | + | 1.65284i | −0.0589549 | + | 0.102113i | ||||
\(263\) | 4.34326 | − | 7.52274i | 0.267817 | − | 0.463872i | −0.700481 | − | 0.713671i | \(-0.747031\pi\) |
0.968298 | + | 0.249799i | \(0.0803645\pi\) | |||||||
\(264\) | −2.66921 | − | 5.08678i | −0.164279 | − | 0.313069i | ||||
\(265\) | 4.50452 | 0.276711 | ||||||||
\(266\) | 7.78463 | − | 2.54210i | 0.477306 | − | 0.155866i | ||||
\(267\) | 14.3097 | + | 16.0590i | 0.875737 | + | 0.982796i | ||||
\(268\) | 5.56729 | + | 9.64283i | 0.340077 | + | 0.589030i | ||||
\(269\) | −4.58369 | − | 2.64640i | −0.279473 | − | 0.161354i | 0.353712 | − | 0.935354i | \(-0.384919\pi\) |
−0.633185 | + | 0.774001i | \(0.718253\pi\) | |||||||
\(270\) | 0.871483 | + | 9.74636i | 0.0530368 | + | 0.593144i | ||||
\(271\) | −11.7299 | + | 6.77227i | −0.712541 | + | 0.411386i | −0.812001 | − | 0.583656i | \(-0.801622\pi\) |
0.0994600 | + | 0.995042i | \(0.468288\pi\) | |||||||
\(272\) | −3.66041 | −0.221945 | ||||||||
\(273\) | −4.44689 | + | 7.63679i | −0.269138 | + | 0.462200i | ||||
\(274\) | 0.527465i | 0.0318653i | ||||||||
\(275\) | −1.16764 | + | 4.67774i | −0.0704115 | + | 0.282078i | ||||
\(276\) | 7.26704 | − | 1.50536i | 0.437425 | − | 0.0906117i | ||||
\(277\) | −3.05634 | − | 1.76458i | −0.183637 | − | 0.106023i | 0.405363 | − | 0.914156i | \(-0.367145\pi\) |
−0.589001 | + | 0.808133i | \(0.700478\pi\) | |||||||
\(278\) | 2.45424 | − | 1.41696i | 0.147196 | − | 0.0849834i | ||||
\(279\) | 3.52651 | − | 30.5086i | 0.211127 | − | 1.82650i | ||||
\(280\) | −1.02870 | + | 4.87505i | −0.0614766 | + | 0.291340i | ||||
\(281\) | 0.0460619 | 0.00274782 | 0.00137391 | − | 0.999999i | \(-0.499563\pi\) | ||||
0.00137391 | + | 0.999999i | \(0.499563\pi\) | |||||||
\(282\) | −2.78294 | + | 8.41639i | −0.165721 | + | 0.501189i | ||||
\(283\) | −17.9928 | − | 10.3882i | −1.06956 | − | 0.617513i | −0.141501 | − | 0.989938i | \(-0.545193\pi\) |
−0.928062 | + | 0.372425i | \(0.878526\pi\) | |||||||
\(284\) | −8.46502 | − | 4.88728i | −0.502307 | − | 0.290007i | ||||
\(285\) | 9.58541 | + | 3.16948i | 0.567791 | + | 0.187744i | ||||
\(286\) | 4.44419 | − | 4.59960i | 0.262791 | − | 0.271980i | ||||
\(287\) | 11.2350 | − | 12.5148i | 0.663179 | − | 0.738727i | ||||
\(288\) | −0.344479 | + | 2.98016i | −0.0202986 | + | 0.175607i | ||||
\(289\) | 1.80069 | + | 3.11888i | 0.105923 | + | 0.183464i | ||||
\(290\) | −15.8138 | − | 9.13009i | −0.928617 | − | 0.536137i | ||||
\(291\) | −0.0105321 | − | 0.0508435i | −0.000617405 | − | 0.00298050i | ||||
\(292\) | 1.82066 | − | 1.05116i | 0.106546 | − | 0.0615144i | ||||
\(293\) | 4.89347 | 0.285879 | 0.142940 | − | 0.989731i | \(-0.454344\pi\) | ||||
0.142940 | + | 0.989731i | \(0.454344\pi\) | |||||||
\(294\) | 8.99207 | + | 8.13282i | 0.524428 | + | 0.474315i | ||||
\(295\) | −20.6788 | −1.20397 | ||||||||
\(296\) | −4.15848 | − | 7.20269i | −0.241706 | − | 0.418648i | ||||
\(297\) | −13.4109 | − | 10.8235i | −0.778177 | − | 0.628044i | ||||
\(298\) | −6.58936 | + | 11.4131i | −0.381711 | + | 0.661144i | ||||
\(299\) | 4.13137 | + | 7.15574i | 0.238923 | + | 0.413827i | ||||
\(300\) | 1.87981 | − | 1.67504i | 0.108531 | − | 0.0967085i | ||||
\(301\) | −13.2912 | − | 11.9320i | −0.766093 | − | 0.687748i | ||||
\(302\) | 19.4497i | 1.11921i | ||||||||
\(303\) | −11.1463 | − | 3.68559i | −0.640337 | − | 0.211731i | ||||
\(304\) | 2.68054 | + | 1.54761i | 0.153740 | + | 0.0887616i | ||||
\(305\) | 10.9406 | − | 18.9497i | 0.626459 | − | 1.08506i | ||||
\(306\) | −10.0776 | + | 4.36230i | −0.576098 | + | 0.249376i | ||||
\(307\) | − | 25.7355i | − | 1.46880i | −0.678715 | − | 0.734402i | \(-0.737463\pi\) | ||
0.678715 | − | 0.734402i | \(-0.262537\pi\) | |||||||
\(308\) | −4.91566 | − | 7.26886i | −0.280096 | − | 0.414182i | ||||
\(309\) | −16.6693 | + | 14.8534i | −0.948281 | + | 0.844982i | ||||
\(310\) | 16.6956 | − | 9.63924i | 0.948249 | − | 0.547472i | ||||
\(311\) | 2.38671 | + | 1.37797i | 0.135338 | + | 0.0781373i | 0.566140 | − | 0.824309i | \(-0.308436\pi\) |
−0.430802 | + | 0.902446i | \(0.641769\pi\) | |||||||
\(312\) | −3.27070 | + | 0.677519i | −0.185167 | + | 0.0383570i | ||||
\(313\) | −6.72689 | − | 11.6513i | −0.380226 | − | 0.658571i | 0.610868 | − | 0.791732i | \(-0.290820\pi\) |
−0.991094 | + | 0.133161i | \(0.957487\pi\) | |||||||
\(314\) | 2.10797 | 0.118959 | ||||||||
\(315\) | 2.97770 | + | 14.6476i | 0.167774 | + | 0.825299i | ||||
\(316\) | 11.2379i | 0.632182i | ||||||||
\(317\) | 4.97256 | − | 2.87091i | 0.279287 | − | 0.161246i | −0.353814 | − | 0.935316i | \(-0.615115\pi\) |
0.633101 | + | 0.774070i | \(0.281782\pi\) | |||||||
\(318\) | 4.05692 | − | 0.840383i | 0.227501 | − | 0.0471263i | ||||
\(319\) | 30.9163 | − | 8.85600i | 1.73098 | − | 0.495841i | ||||
\(320\) | −1.63087 | + | 0.941585i | −0.0911686 | + | 0.0526362i | ||||
\(321\) | −5.47899 | + | 4.88215i | −0.305807 | + | 0.272495i | ||||
\(322\) | 10.7762 | − | 3.51902i | 0.600536 | − | 0.196107i | ||||
\(323\) | 11.3298i | 0.630406i | ||||||||
\(324\) | 2.60321 | + | 8.61529i | 0.144623 | + | 0.478627i | ||||
\(325\) | 2.42772 | + | 1.40165i | 0.134666 | + | 0.0777494i | ||||
\(326\) | −1.59864 | + | 2.76892i | −0.0885403 | + | 0.153356i | ||||
\(327\) | 0.956466 | − | 2.89263i | 0.0528927 | − | 0.159963i | ||||
\(328\) | 6.35661 | 0.350985 | ||||||||
\(329\) | −2.79573 | + | 13.2491i | −0.154134 | + | 0.730446i | ||||
\(330\) | 0.436482 | − | 10.8092i | 0.0240275 | − | 0.595026i | ||||
\(331\) | 4.29871 | + | 7.44558i | 0.236278 | + | 0.409246i | 0.959643 | − | 0.281220i | \(-0.0907389\pi\) |
−0.723365 | + | 0.690466i | \(0.757406\pi\) | |||||||
\(332\) | 1.17259 | − | 2.03099i | 0.0643543 | − | 0.111465i | ||||
\(333\) | −20.0326 | − | 14.8741i | −1.09778 | − | 0.815095i | ||||
\(334\) | 1.11780 | + | 1.93609i | 0.0611633 | + | 0.105938i | ||||
\(335\) | 20.9683i | 1.14562i | ||||||||
\(336\) | −0.0169703 | + | 4.58254i | −0.000925807 | + | 0.249998i | ||||
\(337\) | − | 8.82385i | − | 0.480666i | −0.970691 | − | 0.240333i | \(-0.922743\pi\) | ||
0.970691 | − | 0.240333i | \(-0.0772566\pi\) | |||||||
\(338\) | 4.64058 | + | 8.03773i | 0.252415 | + | 0.437195i | ||||
\(339\) | 11.9555 | − | 2.47656i | 0.649332 | − | 0.134508i | ||||
\(340\) | −5.96967 | − | 3.44659i | −0.323751 | − | 0.186918i | ||||
\(341\) | −8.22295 | + | 32.9423i | −0.445298 | + | 1.78393i | ||||
\(342\) | 9.22424 | + | 1.06624i | 0.498790 | + | 0.0576556i | ||||
\(343\) | 15.0313 | + | 10.8194i | 0.811613 | + | 0.584195i | ||||
\(344\) | − | 6.75096i | − | 0.363988i | ||||||
\(345\) | 13.2691 | + | 4.38750i | 0.714382 | + | 0.236215i | ||||
\(346\) | 6.02196 | − | 10.4303i | 0.323743 | − | 0.560739i | ||||
\(347\) | 9.43262 | − | 16.3378i | 0.506369 | − | 0.877058i | −0.493603 | − | 0.869687i | \(-0.664321\pi\) |
0.999973 | − | 0.00737048i | \(-0.00234612\pi\) | |||||||
\(348\) | −15.9457 | − | 5.27256i | −0.854782 | − | 0.282639i | ||||
\(349\) | − | 5.90640i | − | 0.316162i | −0.987426 | − | 0.158081i | \(-0.949469\pi\) | ||
0.987426 | − | 0.158081i | \(-0.0505307\pi\) | |||||||
\(350\) | 2.56928 | − | 2.86197i | 0.137334 | − | 0.152979i | ||||
\(351\) | −8.19722 | + | 5.76316i | −0.437535 | + | 0.307614i | ||||
\(352\) | 0.803239 | − | 3.21789i | 0.0428128 | − | 0.171514i | ||||
\(353\) | −7.42132 | − | 4.28470i | −0.394997 | − | 0.228052i | 0.289326 | − | 0.957231i | \(-0.406569\pi\) |
−0.684323 | + | 0.729179i | \(0.739902\pi\) | |||||||
\(354\) | −18.6240 | + | 3.85794i | −0.989856 | + | 0.205047i | ||||
\(355\) | −9.20359 | − | 15.9411i | −0.488476 | − | 0.846065i | ||||
\(356\) | 12.4185i | 0.658180i | ||||||||
\(357\) | −14.5578 | + | 8.33321i | −0.770479 | + | 0.441040i | ||||
\(358\) | − | 1.06574i | − | 0.0563262i | ||||||
\(359\) | 14.6090 | + | 25.3035i | 0.771033 | + | 1.33547i | 0.936997 | + | 0.349337i | \(0.113593\pi\) |
−0.165964 | + | 0.986132i | \(0.553073\pi\) | |||||||
\(360\) | −3.36787 | + | 4.53590i | −0.177503 | + | 0.239063i | ||||
\(361\) | −4.70980 | + | 8.15762i | −0.247884 | + | 0.429348i | ||||
\(362\) | −2.94021 | − | 5.09260i | −0.154534 | − | 0.267661i | ||||
\(363\) | 13.1564 | + | 13.7808i | 0.690529 | + | 0.723304i | ||||
\(364\) | −4.85009 | + | 1.58381i | −0.254214 | + | 0.0830143i | ||||
\(365\) | 3.95902 | 0.207225 | ||||||||
\(366\) | 6.31814 | − | 19.1079i | 0.330254 | − | 0.998784i | ||||
\(367\) | 1.05133 | − | 1.82095i | 0.0548789 | − | 0.0950530i | −0.837281 | − | 0.546773i | \(-0.815856\pi\) |
0.892160 | + | 0.451720i | \(0.149189\pi\) | |||||||
\(368\) | 3.71066 | + | 2.14235i | 0.193432 | + | 0.111678i | ||||
\(369\) | 17.5006 | − | 7.57549i | 0.911044 | − | 0.394364i | ||||
\(370\) | − | 15.6622i | − | 0.814241i | ||||||
\(371\) | 6.01597 | − | 1.96453i | 0.312333 | − | 0.101994i | ||||
\(372\) | 13.2383 | − | 11.7962i | 0.686374 | − | 0.611606i | ||||
\(373\) | −24.2451 | + | 13.9979i | −1.25536 | + | 0.724784i | −0.972169 | − | 0.234280i | \(-0.924727\pi\) |
−0.283193 | + | 0.959063i | \(0.591394\pi\) | |||||||
\(374\) | 11.6708 | − | 3.34312i | 0.603485 | − | 0.172869i | ||||
\(375\) | 20.6126 | − | 4.26987i | 1.06443 | − | 0.220495i | ||||
\(376\) | −4.43228 | + | 2.55898i | −0.228577 | + | 0.131969i | ||||
\(377\) | − | 18.6990i | − | 0.963048i | ||||||
\(378\) | 5.41453 | + | 12.6366i | 0.278493 | + | 0.649955i | ||||
\(379\) | −15.4596 | −0.794105 | −0.397053 | − | 0.917796i | \(-0.629967\pi\) | ||||
−0.397053 | + | 0.917796i | \(0.629967\pi\) | |||||||
\(380\) | 2.91441 | + | 5.04791i | 0.149506 | + | 0.258953i | ||||
\(381\) | 21.2507 | − | 4.40204i | 1.08870 | − | 0.225523i | ||||
\(382\) | 13.1117 | + | 7.57002i | 0.670850 | + | 0.387316i | ||||
\(383\) | −2.54013 | + | 1.46654i | −0.129794 | + | 0.0749369i | −0.563491 | − | 0.826122i | \(-0.690542\pi\) |
0.433697 | + | 0.901059i | \(0.357209\pi\) | |||||||
\(384\) | −1.29315 | + | 1.15228i | −0.0659908 | + | 0.0588023i | ||||
\(385\) | −1.17257 | − | 16.4831i | −0.0597598 | − | 0.840057i | ||||
\(386\) | − | 8.98082i | − | 0.457112i | ||||||
\(387\) | −8.04547 | − | 18.5863i | −0.408974 | − | 0.944794i | ||||
\(388\) | 0.0149889 | − | 0.0259615i | 0.000760944 | − | 0.00131799i | ||||
\(389\) | 20.9725 | + | 12.1085i | 1.06335 | + | 0.613925i | 0.926357 | − | 0.376647i | \(-0.122923\pi\) |
0.136993 | + | 0.990572i | \(0.456256\pi\) | |||||||
\(390\) | −5.97204 | − | 1.97469i | −0.302406 | − | 0.0999924i | ||||
\(391\) | 15.6838i | 0.793163i | ||||||||
\(392\) | 0.752260 | + | 6.95946i | 0.0379949 | + | 0.351506i | ||||
\(393\) | −2.46803 | + | 2.19918i | −0.124496 | + | 0.110934i | ||||
\(394\) | −13.1565 | − | 22.7878i | −0.662817 | − | 1.14803i | ||||
\(395\) | −10.5815 | + | 18.3276i | −0.532411 | + | 0.922163i | ||||
\(396\) | −1.62350 | − | 9.81653i | −0.0815839 | − | 0.493299i | ||||
\(397\) | 7.83756 | + | 13.5750i | 0.393356 | + | 0.681312i | 0.992890 | − | 0.119037i | \(-0.0379808\pi\) |
−0.599534 | + | 0.800349i | \(0.704647\pi\) | |||||||
\(398\) | −22.3739 | −1.12150 | ||||||||
\(399\) | 14.1840 | + | 0.0525269i | 0.710088 | + | 0.00262963i | ||||
\(400\) | 1.45367 | 0.0726834 | ||||||||
\(401\) | 11.1027 | − | 6.41014i | 0.554442 | − | 0.320107i | −0.196470 | − | 0.980510i | \(-0.562948\pi\) |
0.750911 | + | 0.660403i | \(0.229614\pi\) | |||||||
\(402\) | 3.91194 | + | 18.8847i | 0.195110 | + | 0.941886i | ||||
\(403\) | 17.0969 | + | 9.87089i | 0.851656 | + | 0.491704i | ||||
\(404\) | −3.38899 | − | 5.86990i | −0.168608 | − | 0.292038i | ||||
\(405\) | −3.86653 | + | 16.5016i | −0.192129 | + | 0.819971i | ||||
\(406\) | −25.1018 | − | 5.29681i | −1.24578 | − | 0.262876i | ||||
\(407\) | 19.8372 | + | 19.1670i | 0.983294 | + | 0.950073i | ||||
\(408\) | −6.01949 | − | 1.99038i | −0.298009 | − | 0.0985387i | ||||
\(409\) | 26.5370 | + | 15.3212i | 1.31217 | + | 0.757583i | 0.982456 | − | 0.186497i | \(-0.0597134\pi\) |
0.329717 | + | 0.944080i | \(0.393047\pi\) | |||||||
\(410\) | 10.3668 | + | 5.98529i | 0.511981 | + | 0.295592i | ||||
\(411\) | −0.286814 | + | 0.867407i | −0.0141475 | + | 0.0427860i | ||||
\(412\) | −12.8904 | −0.635065 | ||||||||
\(413\) | −27.6174 | + | 9.01856i | −1.35896 | + | 0.443774i | ||||
\(414\) | 12.7691 | + | 1.47599i | 0.627566 | + | 0.0725410i | ||||
\(415\) | 3.82470 | − | 2.20819i | 0.187747 | − | 0.108396i | ||||
\(416\) | −1.67007 | − | 0.964214i | −0.0818818 | − | 0.0472745i | ||||
\(417\) | 4.80644 | − | 0.995646i | 0.235372 | − | 0.0487570i | ||||
\(418\) | −9.96008 | − | 2.48620i | −0.487163 | − | 0.121604i | ||||
\(419\) | − | 5.27534i | − | 0.257717i | −0.991663 | − | 0.128859i | \(-0.958869\pi\) | ||
0.991663 | − | 0.128859i | \(-0.0411313\pi\) | |||||||
\(420\) | −4.34253 | + | 7.45757i | −0.211894 | + | 0.363892i | ||||
\(421\) | −4.07368 | −0.198539 | −0.0992695 | − | 0.995061i | \(-0.531651\pi\) | ||||
−0.0992695 | + | 0.995061i | \(0.531651\pi\) | |||||||
\(422\) | 2.67782 | − | 1.54604i | 0.130354 | − | 0.0752599i | ||||
\(423\) | −9.15298 | + | 12.3274i | −0.445033 | + | 0.599378i | ||||
\(424\) | 2.07152 | + | 1.19599i | 0.100602 | + | 0.0580826i | ||||
\(425\) | 2.66051 | + | 4.60814i | 0.129054 | + | 0.223528i | ||||
\(426\) | −11.2631 | − | 12.6400i | −0.545698 | − | 0.612409i | ||||
\(427\) | 6.34719 | − | 30.0796i | 0.307162 | − | 1.45565i | ||||
\(428\) | −4.23693 | −0.204800 | ||||||||
\(429\) | 9.80948 | − | 5.14739i | 0.473606 | − | 0.248518i | ||||
\(430\) | 6.35661 | − | 11.0100i | 0.306543 | − | 0.530948i | ||||
\(431\) | −9.11020 | + | 15.7793i | −0.438823 | + | 0.760064i | −0.997599 | − | 0.0692548i | \(-0.977938\pi\) |
0.558776 | + | 0.829319i | \(0.311271\pi\) | |||||||
\(432\) | −2.18698 | + | 4.71350i | −0.105221 | + | 0.226779i | ||||
\(433\) | 37.1564 | 1.78562 | 0.892811 | − | 0.450431i | \(-0.148730\pi\) | ||||
0.892811 | + | 0.450431i | \(0.148730\pi\) | |||||||
\(434\) | 18.0938 | − | 20.1550i | 0.868530 | − | 0.967470i | ||||
\(435\) | −21.0409 | − | 23.6132i | −1.00884 | − | 1.13216i | ||||
\(436\) | 1.52333 | − | 0.879494i | 0.0729542 | − | 0.0421201i | ||||
\(437\) | 6.63105 | − | 11.4853i | 0.317206 | − | 0.549417i | ||||
\(438\) | 3.56562 | − | 0.738613i | 0.170372 | − | 0.0352923i | ||||
\(439\) | 32.2063 | − | 18.5943i | 1.53712 | − | 0.887459i | 0.538119 | − | 0.842869i | \(-0.319135\pi\) |
0.999005 | − | 0.0445907i | \(-0.0141984\pi\) | |||||||
\(440\) | 4.33990 | − | 4.49165i | 0.206897 | − | 0.214131i | ||||
\(441\) | 10.3650 | + | 18.2638i | 0.493572 | + | 0.869705i | ||||
\(442\) | − | 7.05884i | − | 0.335755i | ||||||
\(443\) | −5.90271 | + | 3.40793i | −0.280446 | + | 0.161916i | −0.633625 | − | 0.773640i | \(-0.718434\pi\) |
0.353179 | + | 0.935556i | \(0.385101\pi\) | |||||||
\(444\) | −2.92202 | − | 14.1059i | −0.138673 | − | 0.669437i | ||||
\(445\) | −11.6931 | + | 20.2530i | −0.554306 | + | 0.960085i | ||||
\(446\) | 8.79309 | + | 15.2301i | 0.416365 | + | 0.721165i | ||||
\(447\) | −17.0421 | + | 15.1856i | −0.806062 | + | 0.718256i | ||||
\(448\) | −1.76745 | + | 1.96879i | −0.0835040 | + | 0.0930165i | ||||
\(449\) | − | 2.92958i | − | 0.138255i | −0.997608 | − | 0.0691277i | \(-0.977978\pi\) | ||
0.997608 | − | 0.0691277i | \(-0.0220216\pi\) | |||||||
\(450\) | 4.00214 | − | 1.73241i | 0.188663 | − | 0.0816666i | ||||
\(451\) | −20.2674 | + | 5.80561i | −0.954353 | + | 0.273376i | ||||
\(452\) | 6.10465 | + | 3.52452i | 0.287138 | + | 0.165779i | ||||
\(453\) | −10.5760 | + | 31.9847i | −0.496902 | + | 1.50277i | ||||
\(454\) | −5.83994 | −0.274082 | ||||||||
\(455\) | −9.40118 | − | 1.98377i | −0.440734 | − | 0.0930007i | ||||
\(456\) | 3.56658 | + | 4.00259i | 0.167020 | + | 0.187438i | ||||
\(457\) | 6.48607 | − | 3.74473i | 0.303406 | − | 0.175171i | −0.340566 | − | 0.940221i | \(-0.610619\pi\) |
0.643972 | + | 0.765049i | \(0.277285\pi\) | |||||||
\(458\) | 9.77062 | − | 16.9232i | 0.456551 | − | 0.790770i | ||||
\(459\) | −18.9445 | + | 1.69395i | −0.884253 | + | 0.0790666i | ||||
\(460\) | 4.03441 | + | 6.98781i | 0.188105 | + | 0.325808i | ||||
\(461\) | 17.0494 | 0.794068 | 0.397034 | − | 0.917804i | \(-0.370040\pi\) | ||||
0.397034 | + | 0.917804i | \(0.370040\pi\) | |||||||
\(462\) | −4.13122 | − | 14.6265i | −0.192202 | − | 0.680484i | ||||
\(463\) | −0.105850 | −0.00491928 | −0.00245964 | − | 0.999997i | \(-0.500783\pi\) | ||||
−0.00245964 | + | 0.999997i | \(0.500783\pi\) | |||||||
\(464\) | −4.84825 | − | 8.39742i | −0.225075 | − | 0.389841i | ||||
\(465\) | 32.6971 | − | 6.77315i | 1.51629 | − | 0.314098i | ||||
\(466\) | 7.60946 | − | 13.1800i | 0.352501 | − | 0.610550i | ||||
\(467\) | −0.545934 | + | 0.315195i | −0.0252628 | + | 0.0145855i | −0.512578 | − | 0.858641i | \(-0.671310\pi\) |
0.487315 | + | 0.873226i | \(0.337976\pi\) | |||||||
\(468\) | −5.74702 | − | 0.664303i | −0.265656 | − | 0.0307074i | ||||
\(469\) | 9.14481 | + | 28.0040i | 0.422268 | + | 1.29311i | ||||
\(470\) | −9.63799 | −0.444567 | ||||||||
\(471\) | 3.46651 | + | 1.14623i | 0.159729 | + | 0.0528153i | ||||
\(472\) | −9.50971 | − | 5.49043i | −0.437720 | − | 0.252718i | ||||
\(473\) | 6.16578 | + | 21.5247i | 0.283503 | + | 0.989708i | ||||
\(474\) | −6.11072 | + | 18.4806i | −0.280675 | + | 0.848841i | ||||
\(475\) | − | 4.49942i | − | 0.206448i | ||||||
\(476\) | −9.47588 | − | 1.99954i | −0.434326 | − | 0.0916486i | ||||
\(477\) | 7.12850 | + | 0.823989i | 0.326391 | + | 0.0377279i | ||||
\(478\) | 3.90906 | + | 6.77068i | 0.178796 | + | 0.309684i | ||||
\(479\) | 17.3889 | − | 30.1185i | 0.794519 | − | 1.37615i | −0.128625 | − | 0.991693i | \(-0.541056\pi\) |
0.923144 | − | 0.384454i | \(-0.125610\pi\) | |||||||
\(480\) | −3.19394 | + | 0.661619i | −0.145783 | + | 0.0301986i | ||||
\(481\) | 13.8899 | − | 8.01932i | 0.633323 | − | 0.365649i | ||||
\(482\) | 19.8468i | 0.903996i | ||||||||
\(483\) | 19.6348 | + | 0.0727128i | 0.893416 | + | 0.00330855i | ||||
\(484\) | 0.377916 | + | 10.9935i | 0.0171780 | + | 0.499705i | ||||
\(485\) | 0.0488899 | − | 0.0282266i | 0.00221997 | − | 0.00128170i | ||||
\(486\) | −0.403712 | + | 15.5832i | −0.0183127 | + | 0.706870i | ||||
\(487\) | −10.2036 | + | 17.6732i | −0.462371 | + | 0.800850i | −0.999079 | − | 0.0429182i | \(-0.986335\pi\) |
0.536708 | + | 0.843768i | \(0.319668\pi\) | |||||||
\(488\) | 10.0627 | − | 5.80969i | 0.455516 | − | 0.262992i | ||||
\(489\) | −4.13456 | + | 3.68417i | −0.186971 | + | 0.166604i | ||||
\(490\) | −5.32609 | + | 12.0583i | −0.240608 | + | 0.544739i | ||||
\(491\) | −32.5970 | −1.47108 | −0.735542 | − | 0.677480i | \(-0.763072\pi\) | ||||
−0.735542 | + | 0.677480i | \(0.763072\pi\) | |||||||
\(492\) | 10.4533 | + | 3.45646i | 0.471273 | + | 0.155829i | ||||
\(493\) | 17.7466 | − | 30.7380i | 0.799267 | − | 1.38437i | ||||
\(494\) | −2.98445 | + | 5.16923i | −0.134277 | + | 0.232574i | ||||
\(495\) | 6.59538 | − | 17.5382i | 0.296440 | − | 0.788283i | ||||
\(496\) | 10.2372 | 0.459666 | ||||||||
\(497\) | −19.2441 | − | 17.2760i | −0.863214 | − | 0.774936i | ||||
\(498\) | 3.03268 | − | 2.70232i | 0.135897 | − | 0.121094i | ||||
\(499\) | −4.61628 | − | 7.99563i | −0.206653 | − | 0.357934i | 0.744005 | − | 0.668174i | \(-0.232924\pi\) |
−0.950658 | + | 0.310240i | \(0.899590\pi\) | |||||||
\(500\) | 10.5251 | + | 6.07668i | 0.470698 | + | 0.271757i | ||||
\(501\) | 0.785439 | + | 3.79168i | 0.0350908 | + | 0.169400i | ||||
\(502\) | 7.38662 | − | 4.26467i | 0.329681 | − | 0.190341i | ||||
\(503\) | 19.5451 | 0.871472 | 0.435736 | − | 0.900074i | \(-0.356488\pi\) | ||||
0.435736 | + | 0.900074i | \(0.356488\pi\) | |||||||
\(504\) | −2.51971 | + | 7.52669i | −0.112237 | + | 0.335265i | ||||
\(505\) | − | 12.7641i | − | 0.567994i | ||||||
\(506\) | −13.7877 | − | 3.44164i | −0.612938 | − | 0.153000i | ||||
\(507\) | 3.26078 | + | 15.7413i | 0.144816 | + | 0.699094i | ||||
\(508\) | 10.8509 | + | 6.26478i | 0.481431 | + | 0.277954i | ||||
\(509\) | 14.9595 | − | 8.63689i | 0.663069 | − | 0.382823i | −0.130376 | − | 0.991465i | \(-0.541618\pi\) |
0.793446 | + | 0.608641i | \(0.208285\pi\) | |||||||
\(510\) | −7.94291 | − | 8.91393i | −0.351718 | − | 0.394715i | ||||
\(511\) | 5.28743 | − | 1.72663i | 0.233902 | − | 0.0763816i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 14.5893 | + | 6.76918i | 0.644135 | + | 0.298867i | ||||
\(514\) | 4.21369 | + | 2.43278i | 0.185858 | + | 0.107305i | ||||
\(515\) | −21.0226 | − | 12.1374i | −0.926368 | − | 0.534839i | ||||
\(516\) | 3.67090 | − | 11.1019i | 0.161602 | − | 0.488732i | ||||
\(517\) | 11.7947 | − | 12.2071i | 0.518730 | − | 0.536868i | ||||
\(518\) | −6.83069 | − | 20.9175i | −0.300123 | − | 0.919064i | ||||
\(519\) | 15.5746 | − | 13.8780i | 0.683650 | − | 0.609178i | ||||
\(520\) | −1.81578 | − | 3.14502i | −0.0796272 | − | 0.137918i | ||||
\(521\) | 36.9007 | + | 21.3046i | 1.61665 | + | 0.933373i | 0.987779 | + | 0.155864i | \(0.0498162\pi\) |
0.628871 | + | 0.777509i | \(0.283517\pi\) | |||||||
\(522\) | −23.3555 | − | 17.3413i | −1.02224 | − | 0.759008i | ||||
\(523\) | −22.0386 | + | 12.7240i | −0.963679 | + | 0.556381i | −0.897303 | − | 0.441414i | \(-0.854477\pi\) |
−0.0663759 | + | 0.997795i | \(0.521144\pi\) | |||||||
\(524\) | −1.90854 | −0.0833749 | ||||||||
\(525\) | 5.78136 | − | 3.30939i | 0.252319 | − | 0.144433i | ||||
\(526\) | 8.68651 | 0.378750 | ||||||||
\(527\) | 18.7363 | + | 32.4522i | 0.816165 | + | 1.41364i | ||||
\(528\) | 3.07067 | − | 4.85500i | 0.133634 | − | 0.211287i | ||||
\(529\) | −2.32066 | + | 4.01950i | −0.100898 | + | 0.174761i | ||||
\(530\) | 2.25226 | + | 3.90103i | 0.0978319 | + | 0.169450i | ||||
\(531\) | −32.7247 | − | 3.78268i | −1.42013 | − | 0.164154i | ||||
\(532\) | 6.09384 | + | 5.47064i | 0.264201 | + | 0.237182i | ||||
\(533\) | 12.2583i | 0.530964i | ||||||||
\(534\) | −6.75268 | + | 20.4220i | −0.292217 | + | 0.883748i | ||||
\(535\) | −6.90990 | − | 3.98943i | −0.298741 | − | 0.172478i | ||||
\(536\) | −5.56729 | + | 9.64283i | −0.240470 | + | 0.416507i | ||||
\(537\) | 0.579506 | − | 1.75259i | 0.0250075 | − | 0.0756300i | ||||
\(538\) | − | 5.29279i | − | 0.228188i | ||||||
\(539\) | −8.75471 | − | 21.5024i | −0.377092 | − | 0.926176i | ||||
\(540\) | −8.00485 | + | 5.62791i | −0.344474 | + | 0.242186i | ||||
\(541\) | −8.03990 | + | 4.64184i | −0.345662 | + | 0.199568i | −0.662773 | − | 0.748820i | \(-0.730621\pi\) |
0.317111 | + | 0.948388i | \(0.397287\pi\) | |||||||
\(542\) | −11.7299 | − | 6.77227i | −0.503843 | − | 0.290894i | ||||
\(543\) | −2.06598 | − | 9.97346i | −0.0886599 | − | 0.428002i | ||||
\(544\) | −1.83021 | − | 3.17001i | −0.0784695 | − | 0.135913i | ||||
\(545\) | 3.31248 | 0.141891 | ||||||||
\(546\) | −8.83710 | − | 0.0327260i | −0.378193 | − | 0.00140054i | ||||
\(547\) | 24.0593i | 1.02870i | 0.857580 | + | 0.514351i | \(0.171967\pi\) | ||||
−0.857580 | + | 0.514351i | \(0.828033\pi\) | |||||||
\(548\) | −0.456798 | + | 0.263732i | −0.0195134 | + | 0.0112661i | ||||
\(549\) | 20.7802 | − | 27.9870i | 0.886875 | − | 1.19446i | ||||
\(550\) | −4.63487 | + | 1.32766i | −0.197631 | + | 0.0566117i | ||||
\(551\) | −25.9919 | + | 15.0064i | −1.10729 | + | 0.639295i | ||||
\(552\) | 4.93720 | + | 5.54077i | 0.210141 | + | 0.235831i | ||||
\(553\) | −6.13882 | + | 29.0921i | −0.261049 | + | 1.23712i | ||||
\(554\) | − | 3.52915i | − | 0.149939i | ||||||
\(555\) | 8.51649 | − | 25.7563i | 0.361505 | − | 1.09329i | ||||
\(556\) | 2.45424 | + | 1.41696i | 0.104083 | + | 0.0600923i | ||||
\(557\) | 0.991345 | − | 1.71706i | 0.0420046 | − | 0.0727542i | −0.844259 | − | 0.535936i | \(-0.819959\pi\) |
0.886263 | + | 0.463182i | \(0.153292\pi\) | |||||||
\(558\) | 28.1845 | − | 12.2002i | 1.19314 | − | 0.516477i | ||||
\(559\) | 13.0187 | 0.550634 | ||||||||
\(560\) | −4.73627 | + | 1.54664i | −0.200144 | + | 0.0653576i | ||||
\(561\) | 21.0104 | + | 0.848411i | 0.887058 | + | 0.0358200i | ||||
\(562\) | 0.0230310 | + | 0.0398908i | 0.000971503 | + | 0.00168269i | ||||
\(563\) | −8.74927 | + | 15.1542i | −0.368738 | + | 0.638672i | −0.989368 | − | 0.145431i | \(-0.953543\pi\) |
0.620631 | + | 0.784103i | \(0.286877\pi\) | |||||||
\(564\) | −8.68028 | + | 1.79810i | −0.365506 | + | 0.0757139i | ||||
\(565\) | 6.63727 | + | 11.4961i | 0.279232 | + | 0.483644i | ||||
\(566\) | − | 20.7763i | − | 0.873295i | ||||||
\(567\) | 2.03285 | + | 23.7248i | 0.0853719 | + | 0.996349i | ||||
\(568\) | − | 9.77457i | − | 0.410132i | ||||||
\(569\) | −17.2132 | − | 29.8142i | −0.721616 | − | 1.24988i | −0.960352 | − | 0.278792i | \(-0.910066\pi\) |
0.238735 | − | 0.971085i | \(-0.423267\pi\) | |||||||
\(570\) | 2.04786 | + | 9.88595i | 0.0857753 | + | 0.414077i | ||||
\(571\) | 38.1519 | + | 22.0270i | 1.59661 | + | 0.921802i | 0.992134 | + | 0.125177i | \(0.0399498\pi\) |
0.604473 | + | 0.796625i | \(0.293384\pi\) | |||||||
\(572\) | 6.20546 | + | 1.54899i | 0.259463 | + | 0.0647665i | ||||
\(573\) | 17.4456 | + | 19.5783i | 0.728802 | + | 0.817897i | ||||
\(574\) | 16.4556 | + | 3.47236i | 0.686845 | + | 0.144933i | ||||
\(575\) | − | 6.22854i | − | 0.259748i | ||||||
\(576\) | −2.75313 | + | 1.19175i | −0.114714 | + | 0.0496563i | ||||
\(577\) | −8.80997 | + | 15.2593i | −0.366764 | + | 0.635254i | −0.989058 | − | 0.147530i | \(-0.952868\pi\) |
0.622294 | + | 0.782784i | \(0.286201\pi\) | |||||||
\(578\) | −1.80069 | + | 3.11888i | −0.0748987 | + | 0.129728i | ||||
\(579\) | 4.88340 | − | 14.7688i | 0.202947 | − | 0.613771i | ||||
\(580\) | − | 18.2602i | − | 0.758213i | ||||||
\(581\) | 4.14499 | − | 4.61717i | 0.171963 | − | 0.191553i | ||||
\(582\) | 0.0387657 | − | 0.0345429i | 0.00160689 | − | 0.00143185i | ||||
\(583\) | −7.69715 | − | 1.92134i | −0.318783 | − | 0.0795737i | ||||
\(584\) | 1.82066 | + | 1.05116i | 0.0753395 | + | 0.0434973i | ||||
\(585\) | −8.74716 | − | 6.49470i | −0.361650 | − | 0.268523i | ||||
\(586\) | 2.44673 | + | 4.23787i | 0.101074 | + | 0.175065i | ||||
\(587\) | 23.7907i | 0.981945i | 0.871175 | + | 0.490973i | \(0.163359\pi\) | ||||
−0.871175 | + | 0.490973i | \(0.836641\pi\) | |||||||
\(588\) | −2.54719 | + | 11.8538i | −0.105044 | + | 0.488841i | ||||
\(589\) | − | 31.6865i | − | 1.30562i | ||||||
\(590\) | −10.3394 | − | 17.9084i | −0.425667 | − | 0.737277i | ||||
\(591\) | −9.24465 | − | 44.6282i | −0.380274 | − | 1.83576i | ||||
\(592\) | 4.15848 | − | 7.20269i | 0.170912 | − | 0.296029i | ||||
\(593\) | −15.9838 | − | 27.6848i | −0.656377 | − | 1.13688i | −0.981547 | − | 0.191223i | \(-0.938755\pi\) |
0.325170 | − | 0.945656i | \(-0.394579\pi\) | |||||||
\(594\) | 2.66801 | − | 17.0259i | 0.109470 | − | 0.698582i | ||||
\(595\) | −13.5712 | − | 12.1833i | −0.556366 | − | 0.499468i | ||||
\(596\) | −13.1787 | −0.539821 | ||||||||
\(597\) | −36.7936 | − | 12.1660i | −1.50586 | − | 0.497923i | ||||
\(598\) | −4.13137 | + | 7.15574i | −0.168944 | + | 0.292620i | ||||
\(599\) | −29.5373 | − | 17.0534i | −1.20686 | − | 0.696782i | −0.244790 | − | 0.969576i | \(-0.578719\pi\) |
−0.962072 | + | 0.272794i | \(0.912052\pi\) | |||||||
\(600\) | 2.39053 | + | 0.790445i | 0.0975931 | + | 0.0322698i | ||||
\(601\) | − | 6.42758i | − | 0.262186i | −0.991370 | − | 0.131093i | \(-0.958151\pi\) | ||
0.991370 | − | 0.131093i | \(-0.0418487\pi\) | |||||||
\(602\) | 3.68778 | − | 17.4765i | 0.150303 | − | 0.712290i | ||||
\(603\) | −3.83563 | + | 33.1828i | −0.156199 | + | 1.35131i | ||||
\(604\) | −16.8439 | + | 9.72486i | −0.685370 | + | 0.395699i | ||||
\(605\) | −9.73499 | + | 18.2849i | −0.395784 | + | 0.743385i | ||||
\(606\) | −2.38132 | − | 11.4957i | −0.0967347 | − | 0.466983i | ||||
\(607\) | −37.8030 | + | 21.8256i | −1.53438 | + | 0.885872i | −0.535223 | + | 0.844711i | \(0.679772\pi\) |
−0.999153 | + | 0.0411611i | \(0.986894\pi\) | |||||||
\(608\) | 3.09522i | 0.125528i | ||||||||
\(609\) | −38.3993 | − | 22.3598i | −1.55602 | − | 0.906067i | ||||
\(610\) | 21.8813 | 0.885946 | ||||||||
\(611\) | −4.93480 | − | 8.54733i | −0.199641 | − | 0.345788i | ||||
\(612\) | −8.81666 | − | 6.54631i | −0.356392 | − | 0.264619i | ||||
\(613\) | −28.9843 | − | 16.7341i | −1.17067 | − | 0.675884i | −0.216829 | − | 0.976210i | \(-0.569572\pi\) |
−0.953837 | + | 0.300325i | \(0.902905\pi\) | |||||||
\(614\) | 22.2876 | − | 12.8678i | 0.899455 | − | 0.519301i | ||||
\(615\) | 13.7935 | + | 15.4798i | 0.556208 | + | 0.624204i | ||||
\(616\) | 3.83718 | − | 7.89152i | 0.154605 | − | 0.317958i | ||||
\(617\) | − | 38.2908i | − | 1.54153i | −0.637119 | − | 0.770766i | \(-0.719874\pi\) | ||
0.637119 | − | 0.770766i | \(-0.280126\pi\) | |||||||
\(618\) | −21.1981 | − | 7.00928i | −0.852712 | − | 0.281955i | ||||
\(619\) | 0.394181 | − | 0.682741i | 0.0158435 | − | 0.0274417i | −0.857995 | − | 0.513658i | \(-0.828290\pi\) |
0.873838 | + | 0.486216i | \(0.161623\pi\) | |||||||
\(620\) | 16.6956 | + | 9.63924i | 0.670513 | + | 0.387121i | ||||
\(621\) | 20.1960 | + | 9.37055i | 0.810436 | + | 0.376027i | ||||
\(622\) | 2.75593i | 0.110503i | ||||||||
\(623\) | −6.78373 | + | 32.1484i | −0.271785 | + | 1.28800i | ||||
\(624\) | −2.22210 | − | 2.49375i | −0.0889551 | − | 0.0998298i | ||||
\(625\) | 7.80925 | + | 13.5260i | 0.312370 | + | 0.541041i | ||||
\(626\) | 6.72689 | − | 11.6513i | 0.268860 | − | 0.465680i | ||||
\(627\) | −15.0273 | − | 9.50440i | −0.600132 | − | 0.379569i | ||||
\(628\) | 1.05398 | + | 1.82555i | 0.0420585 | + | 0.0728474i | ||||
\(629\) | 30.4435 | 1.21386 | ||||||||
\(630\) | −11.1963 | + | 9.90256i | −0.446073 | + | 0.394527i | ||||
\(631\) | −29.1733 | −1.16137 | −0.580686 | − | 0.814128i | \(-0.697215\pi\) | ||||
−0.580686 | + | 0.814128i | \(0.697215\pi\) | |||||||
\(632\) | −9.73232 | + | 5.61896i | −0.387131 | + | 0.223510i | ||||
\(633\) | 5.24430 | − | 1.08635i | 0.208442 | − | 0.0431784i | ||||
\(634\) | 4.97256 | + | 2.87091i | 0.197486 | + | 0.114018i | ||||
\(635\) | 11.7976 | + | 20.4341i | 0.468175 | + | 0.810903i | ||||
\(636\) | 2.75625 | + | 3.09320i | 0.109292 | + | 0.122653i | ||||
\(637\) | −13.4208 | + | 1.45068i | −0.531752 | + | 0.0574780i | ||||
\(638\) | 23.1277 | + | 22.3463i | 0.915633 | + | 0.884698i | ||||
\(639\) | −11.6488 | − | 26.9107i | −0.460821 | − | 1.06457i | ||||
\(640\) | −1.63087 | − | 0.941585i | −0.0644659 | − | 0.0372194i | ||||
\(641\) | −40.2975 | − | 23.2658i | −1.59166 | − | 0.918943i | −0.993023 | − | 0.117919i | \(-0.962378\pi\) |
−0.598633 | − | 0.801024i | \(-0.704289\pi\) | |||||||
\(642\) | −6.96756 | − | 2.30387i | −0.274988 | − | 0.0909265i | ||||
\(643\) | 20.8634 | 0.822772 | 0.411386 | − | 0.911461i | \(-0.365045\pi\) | ||||
0.411386 | + | 0.911461i | \(0.365045\pi\) | |||||||
\(644\) | 8.43568 | + | 7.57299i | 0.332412 | + | 0.298417i | ||||
\(645\) | 16.4401 | − | 14.6492i | 0.647329 | − | 0.576814i | ||||
\(646\) | −9.81189 | + | 5.66489i | −0.386043 | + | 0.222882i | ||||
\(647\) | −15.0854 | − | 8.70958i | −0.593069 | − | 0.342409i | 0.173241 | − | 0.984879i | \(-0.444576\pi\) |
−0.766310 | + | 0.642471i | \(0.777909\pi\) | |||||||
\(648\) | −6.15946 | + | 6.56209i | −0.241966 | + | 0.257783i | ||||
\(649\) | 35.3352 | + | 8.82026i | 1.38703 | + | 0.346226i | ||||
\(650\) | 2.80329i | 0.109954i | ||||||||
\(651\) | 40.7144 | − | 23.3059i | 1.59572 | − | 0.913428i | ||||
\(652\) | −3.19727 | −0.125215 | ||||||||
\(653\) | −33.2503 | + | 19.1970i | −1.30118 | + | 0.751239i | −0.980607 | − | 0.195984i | \(-0.937210\pi\) |
−0.320576 | + | 0.947223i | \(0.603877\pi\) | |||||||
\(654\) | 2.98332 | − | 0.617990i | 0.116657 | − | 0.0241653i | ||||
\(655\) | −3.11258 | − | 1.79705i | −0.121619 | − | 0.0702166i | ||||
\(656\) | 3.17830 | + | 5.50499i | 0.124092 | + | 0.214934i | ||||
\(657\) | 6.26524 | + | 0.724204i | 0.244430 | + | 0.0282539i | ||||
\(658\) | −12.8719 | + | 4.20337i | −0.501799 | + | 0.163864i | ||||
\(659\) | 26.8196 | 1.04474 | 0.522372 | − | 0.852718i | \(-0.325047\pi\) | ||||
0.522372 | + | 0.852718i | \(0.325047\pi\) | |||||||
\(660\) | 9.57927 | − | 5.02659i | 0.372872 | − | 0.195660i | ||||
\(661\) | 8.71664 | − | 15.0977i | 0.339038 | − | 0.587231i | −0.645214 | − | 0.764002i | \(-0.723232\pi\) |
0.984252 | + | 0.176771i | \(0.0565652\pi\) | |||||||
\(662\) | −4.29871 | + | 7.44558i | −0.167074 | + | 0.289381i | ||||
\(663\) | 3.83831 | − | 11.6081i | 0.149068 | − | 0.450823i | ||||
\(664\) | 2.34518 | 0.0910108 | ||||||||
\(665\) | 4.78720 | + | 14.6598i | 0.185640 | + | 0.568482i | ||||
\(666\) | 2.86501 | − | 24.7858i | 0.111017 | − | 0.960431i | ||||
\(667\) | −35.9805 | + | 20.7733i | −1.39317 | + | 0.804346i | ||||
\(668\) | −1.11780 | + | 1.93609i | −0.0432490 | + | 0.0749095i | ||||
\(669\) | 6.17860 | + | 29.8269i | 0.238878 | + | 1.15318i | ||||
\(670\) | −18.1591 | + | 10.4842i | −0.701547 | + | 0.405039i | ||||
\(671\) | −26.7776 | + | 27.7140i | −1.03374 | + | 1.06989i | ||||
\(672\) | −3.97708 | + | 2.27658i | −0.153419 | + | 0.0878208i | ||||
\(673\) | 48.1928i | 1.85770i | 0.370460 | + | 0.928849i | \(0.379200\pi\) | ||||
−0.370460 | + | 0.928849i | \(0.620800\pi\) | |||||||
\(674\) | 7.64168 | − | 4.41192i | 0.294346 | − | 0.169941i | ||||
\(675\) | 7.52347 | − | 0.672720i | 0.289578 | − | 0.0258930i | ||||
\(676\) | −4.64058 | + | 8.03773i | −0.178484 | + | 0.309143i | ||||
\(677\) | 1.34824 | + | 2.33522i | 0.0518171 | + | 0.0897499i | 0.890771 | − | 0.454453i | \(-0.150165\pi\) |
−0.838953 | + | 0.544203i | \(0.816832\pi\) | |||||||
\(678\) | 8.12250 | + | 9.11547i | 0.311943 | + | 0.350078i | ||||
\(679\) | 0.0529840 | − | 0.0590198i | 0.00203334 | − | 0.00226497i | ||||
\(680\) | − | 6.89318i | − | 0.264342i | ||||||
\(681\) | −9.60369 | − | 3.17552i | −0.368014 | − | 0.121686i | ||||
\(682\) | −32.6403 | + | 9.34987i | −1.24986 | + | 0.358025i | ||||
\(683\) | −20.6454 | − | 11.9196i | −0.789973 | − | 0.456091i | 0.0499797 | − | 0.998750i | \(-0.484084\pi\) |
−0.839953 | + | 0.542659i | \(0.817418\pi\) | |||||||
\(684\) | 3.68873 | + | 8.52155i | 0.141042 | + | 0.325830i | ||||
\(685\) | −0.993306 | −0.0379523 | ||||||||
\(686\) | −1.85426 | + | 18.4272i | −0.0707961 | + | 0.703554i | ||||
\(687\) | 25.2698 | − | 22.5171i | 0.964102 | − | 0.859080i | ||||
\(688\) | 5.84651 | − | 3.37548i | 0.222896 | − | 0.128689i | ||||
\(689\) | −2.30639 | + | 3.99478i | −0.0878663 | + | 0.152189i | ||||
\(690\) | 2.83484 | + | 13.6851i | 0.107921 | + | 0.520982i | ||||
\(691\) | 19.4649 | + | 33.7142i | 0.740479 | + | 1.28255i | 0.952278 | + | 0.305234i | \(0.0987345\pi\) |
−0.211799 | + | 0.977313i | \(0.567932\pi\) | |||||||
\(692\) | 12.0439 | 0.457841 | ||||||||
\(693\) | 1.15955 | − | 26.2993i | 0.0440477 | − | 0.999029i | ||||
\(694\) | 18.8652 | 0.716115 | ||||||||
\(695\) | 2.66837 | + | 4.62175i | 0.101217 | + | 0.175313i | ||||
\(696\) | −3.40670 | − | 16.4457i | −0.129131 | − | 0.623373i | ||||
\(697\) | −11.6339 | + | 20.1505i | −0.440666 | + | 0.763255i | ||||
\(698\) | 5.11509 | − | 2.95320i | 0.193609 | − | 0.111780i | ||||
\(699\) | 19.6804 | − | 17.5365i | 0.744379 | − | 0.663292i | ||||
\(700\) | 3.76318 | + | 0.794080i | 0.142235 | + | 0.0300134i | ||||
\(701\) | 34.2114 | 1.29215 | 0.646073 | − | 0.763275i | \(-0.276410\pi\) | ||||
0.646073 | + | 0.763275i | \(0.276410\pi\) | |||||||
\(702\) | −9.08965 | − | 4.21743i | −0.343067 | − | 0.159177i | ||||
\(703\) | −22.2939 | − | 12.8714i | −0.840831 | − | 0.485454i | ||||
\(704\) | 3.18839 | − | 0.913319i | 0.120167 | − | 0.0344220i | ||||
\(705\) | −15.8495 | − | 5.24074i | −0.596927 | − | 0.197378i | ||||
\(706\) | − | 8.56941i | − | 0.322514i | ||||||
\(707\) | −5.56674 | − | 17.0469i | −0.209359 | − | 0.641116i | ||||
\(708\) | −12.6531 | − | 14.1999i | −0.475532 | − | 0.533666i | ||||
\(709\) | −13.2642 | − | 22.9743i | −0.498148 | − | 0.862817i | 0.501850 | − | 0.864955i | \(-0.332653\pi\) |
−0.999998 | + | 0.00213754i | \(0.999320\pi\) | |||||||
\(710\) | 9.20359 | − | 15.9411i | 0.345404 | − | 0.598258i | ||||
\(711\) | −20.0980 | + | 27.0682i | −0.753732 | + | 1.01514i | ||||
\(712\) | −10.7547 | + | 6.20926i | −0.403051 | + | 0.232702i | ||||
\(713\) | − | 43.8635i | − | 1.64270i | ||||||
\(714\) | −14.4957 | − | 8.44080i | −0.542486 | − | 0.315889i | ||||
\(715\) | 8.66182 | + | 8.36918i | 0.323934 | + | 0.312989i | ||||
\(716\) | 0.922959 | − | 0.532870i | 0.0344926 | − | 0.0199143i | ||||
\(717\) | 2.74676 | + | 13.2599i | 0.102579 | + | 0.495199i | ||||
\(718\) | −14.6090 | + | 25.3035i | −0.545203 | + | 0.944319i | ||||
\(719\) | −37.2542 | + | 21.5087i | −1.38935 | + | 0.802139i | −0.993242 | − | 0.116066i | \(-0.962972\pi\) |
−0.396105 | + | 0.918205i | \(0.629638\pi\) | |||||||
\(720\) | −5.61214 | − | 0.648713i | −0.209152 | − | 0.0241761i | ||||
\(721\) | −33.3700 | − | 7.04152i | −1.24276 | − | 0.262240i | ||||
\(722\) | −9.41961 | −0.350561 | ||||||||
\(723\) | −10.7919 | + | 32.6377i | −0.401354 | + | 1.21381i | ||||
\(724\) | 2.94021 | − | 5.09260i | 0.109272 | − | 0.189265i | ||||
\(725\) | −7.04775 | + | 12.2071i | −0.261747 | + | 0.453359i | ||||
\(726\) | −5.35634 | + | 18.2841i | −0.198793 | + | 0.678588i | ||||
\(727\) | 2.36652 | 0.0877693 | 0.0438847 | − | 0.999037i | \(-0.486027\pi\) | ||||
0.0438847 | + | 0.999037i | \(0.486027\pi\) | |||||||
\(728\) | −3.79667 | − | 3.40839i | −0.140714 | − | 0.126323i | ||||
\(729\) | −9.13742 | + | 25.4068i | −0.338423 | + | 0.940994i | ||||
\(730\) | 1.97951 | + | 3.42861i | 0.0732650 | + | 0.126899i | ||||
\(731\) | 21.4006 | + | 12.3557i | 0.791531 | + | 0.456991i | ||||
\(732\) | 19.7070 | − | 4.08226i | 0.728390 | − | 0.150885i | ||||
\(733\) | −25.4862 | + | 14.7145i | −0.941355 | + | 0.543491i | −0.890385 | − | 0.455209i | \(-0.849565\pi\) |
−0.0509699 | + | 0.998700i | \(0.516231\pi\) | |||||||
\(734\) | 2.10266 | 0.0776104 | ||||||||
\(735\) | −15.3155 | + | 16.9336i | −0.564920 | + | 0.624605i | ||||
\(736\) | 4.28470i | 0.157936i | ||||||||
\(737\) | 8.94374 | − | 35.8299i | 0.329447 | − | 1.31981i | ||||
\(738\) | 15.3109 | + | 11.3682i | 0.563601 | + | 0.418469i | ||||
\(739\) | −18.2469 | − | 10.5349i | −0.671224 | − | 0.387532i | 0.125316 | − | 0.992117i | \(-0.460006\pi\) |
−0.796540 | + | 0.604585i | \(0.793339\pi\) | |||||||
\(740\) | 13.5639 | − | 7.83112i | 0.498619 | − | 0.287878i | ||||
\(741\) | −7.71870 | + | 6.87788i | −0.283554 | + | 0.252665i | ||||
\(742\) | 4.70932 | + | 4.22771i | 0.172885 | + | 0.155204i | ||||
\(743\) | −28.9793 | −1.06315 | −0.531573 | − | 0.847013i | \(-0.678399\pi\) | ||||
−0.531573 | + | 0.847013i | \(0.678399\pi\) | |||||||
\(744\) | 16.8350 | + | 5.56659i | 0.617200 | + | 0.204081i | ||||
\(745\) | −21.4928 | − | 12.4089i | −0.787436 | − | 0.454627i | ||||
\(746\) | −24.2451 | − | 13.9979i | −0.887675 | − | 0.512499i | ||||
\(747\) | 6.45660 | − | 2.79487i | 0.236235 | − | 0.102259i | ||||
\(748\) | 8.73065 | + | 8.43568i | 0.319224 | + | 0.308439i | ||||
\(749\) | −10.9683 | − | 2.31446i | −0.400774 | − | 0.0845687i | ||||
\(750\) | 14.0041 | + | 15.7161i | 0.511359 | + | 0.573872i | ||||
\(751\) | 1.85140 | + | 3.20672i | 0.0675586 | + | 0.117015i | 0.897826 | − | 0.440350i | \(-0.145146\pi\) |
−0.830268 | + | 0.557365i | \(0.811812\pi\) | |||||||
\(752\) | −4.43228 | − | 2.55898i | −0.161629 | − | 0.0933163i | ||||
\(753\) | 14.4661 | − | 2.99663i | 0.527175 | − | 0.109203i | ||||
\(754\) | 16.1938 | − | 9.34950i | 0.589744 | − | 0.340489i | ||||
\(755\) | −36.6271 | −1.33300 | ||||||||
\(756\) | −8.23632 | + | 11.0074i | −0.299552 | + | 0.400335i | ||||
\(757\) | −15.7188 | −0.571308 | −0.285654 | − | 0.958333i | \(-0.592211\pi\) | ||||
−0.285654 | + | 0.958333i | \(0.592211\pi\) | |||||||
\(758\) | −7.72979 | − | 13.3884i | −0.280759 | − | 0.486288i | ||||
\(759\) | −20.8022 | − | 13.1569i | −0.755073 | − | 0.477566i | ||||
\(760\) | −2.91441 | + | 5.04791i | −0.105717 | + | 0.183107i | ||||
\(761\) | −10.5972 | − | 18.3548i | −0.384147 | − | 0.665362i | 0.607504 | − | 0.794317i | \(-0.292171\pi\) |
−0.991650 | + | 0.128955i | \(0.958838\pi\) | |||||||
\(762\) | 14.4376 | + | 16.2026i | 0.523020 | + | 0.586958i | ||||
\(763\) | 4.42394 | − | 1.44465i | 0.160157 | − | 0.0523000i | ||||
\(764\) | 15.1400i | 0.547747i | ||||||||
\(765\) | −8.21496 | − | 18.9778i | −0.297012 | − | 0.686145i | ||||
\(766\) | −2.54013 | − | 1.46654i | −0.0917786 | − | 0.0529884i | ||||
\(767\) | 10.5879 | − | 18.3388i | 0.382307 | − | 0.662175i | ||||
\(768\) | −1.64448 | − | 0.543759i | −0.0593402 | − | 0.0196212i | ||||
\(769\) | 16.9681i | 0.611884i | 0.952050 | + | 0.305942i | \(0.0989714\pi\) | ||||
−0.952050 | + | 0.305942i | \(0.901029\pi\) | |||||||
\(770\) | 13.6885 | − | 9.25703i | 0.493299 | − | 0.333600i | ||||
\(771\) | 5.60651 | + | 6.29190i | 0.201913 | + | 0.226597i | ||||
\(772\) | 7.77762 | − | 4.49041i | 0.279923 | − | 0.161613i | ||||
\(773\) | 24.6916 | + | 14.2557i | 0.888096 | + | 0.512743i | 0.873319 | − | 0.487148i | \(-0.161963\pi\) |
0.0147769 | + | 0.999891i | \(0.495296\pi\) | |||||||
\(774\) | 12.0735 | − | 16.2607i | 0.433972 | − | 0.584480i | ||||
\(775\) | −7.44078 | − | 12.8878i | −0.267281 | − | 0.462944i | ||||
\(776\) | 0.0299777 | 0.00107614 | ||||||||
\(777\) | 0.141141 | − | 38.1128i | 0.00506342 | − | 1.36729i | ||||
\(778\) | 24.2170i | 0.868222i | ||||||||
\(779\) | 17.0391 | − | 9.83756i | 0.610491 | − | 0.352467i | ||||
\(780\) | −1.27588 | − | 6.15928i | −0.0456840 | − | 0.220538i | ||||
\(781\) | 8.92729 | + | 31.1652i | 0.319444 | + | 1.11518i | ||||
\(782\) | −13.5826 | + | 7.84189i | −0.485711 | + | 0.280425i | ||||
\(783\) | −28.9783 | − | 41.2172i | −1.03560 | − | 1.47298i | ||||
\(784\) | −5.65094 | + | 4.13121i | −0.201819 | + | 0.147543i | ||||
\(785\) | 3.96966i | 0.141683i | ||||||||
\(786\) | −3.13856 | − | 1.03779i | −0.111949 | − | 0.0370166i | ||||
\(787\) | 22.5484 | + | 13.0183i | 0.803763 | + | 0.464053i | 0.844785 | − | 0.535106i | \(-0.179728\pi\) |
−0.0410223 | + | 0.999158i | \(0.513061\pi\) | |||||||
\(788\) | 13.1565 | − | 22.7878i | 0.468683 | − | 0.811782i | ||||
\(789\) | 14.2848 | + | 4.72337i | 0.508553 | + | 0.168156i | ||||
\(790\) | −21.1629 | −0.752943 | ||||||||
\(791\) | 13.8781 | + | 12.4588i | 0.493447 | + | 0.442984i | ||||
\(792\) | 7.68961 | − | 6.31426i | 0.273239 | − | 0.224367i | ||||
\(793\) | 11.2036 | + | 19.4051i | 0.397850 | + | 0.689096i | ||||
\(794\) | −7.83756 | + | 13.5750i | −0.278144 | + | 0.481760i | ||||
\(795\) | 1.58258 | + | 7.63987i | 0.0561285 | + | 0.270958i | ||||
\(796\) | −11.1870 | − | 19.3764i | −0.396512 | − | 0.686778i | ||||
\(797\) | − | 4.80180i | − | 0.170089i | −0.996377 | − | 0.0850443i | \(-0.972897\pi\) | ||
0.996377 | − | 0.0850443i | \(-0.0271032\pi\) | |||||||
\(798\) | 7.04650 | + | 12.3100i | 0.249444 | + | 0.435768i | ||||
\(799\) | − | 18.7338i | − | 0.662756i | ||||||
\(800\) | 0.726834 | + | 1.25891i | 0.0256975 | + | 0.0445093i | ||||
\(801\) | −22.2093 | + | 29.9119i | −0.784729 | + | 1.05688i | ||||
\(802\) | 11.1027 | + | 6.41014i | 0.392049 | + | 0.226350i | ||||
\(803\) | −6.76502 | − | 1.68866i | −0.238733 | − | 0.0595917i | ||||
\(804\) | −14.3987 | + | 12.8302i | −0.507803 | + | 0.452487i | ||||
\(805\) | 6.62691 | + | 20.2935i | 0.233568 | + | 0.715252i | ||||
\(806\) | 19.7418i | 0.695374i | ||||||||
\(807\) | 2.87800 | − | 8.70391i | 0.101311 | − | 0.306392i | ||||
\(808\) | 3.38899 | − | 5.86990i | 0.119224 | − | 0.206502i | ||||
\(809\) | −16.5190 | + | 28.6117i | −0.580776 | + | 1.00593i | 0.414611 | + | 0.909999i | \(0.363918\pi\) |
−0.995388 | + | 0.0959356i | \(0.969416\pi\) | |||||||
\(810\) | −16.2241 | + | 4.90229i | −0.570056 | + | 0.172249i | ||||
\(811\) | − | 26.1823i | − | 0.919383i | −0.888079 | − | 0.459692i | \(-0.847960\pi\) | ||
0.888079 | − | 0.459692i | \(-0.152040\pi\) | |||||||
\(812\) | −7.96372 | − | 24.3872i | −0.279472 | − | 0.855823i | ||||
\(813\) | −15.6072 | − | 17.5151i | −0.547367 | − | 0.614282i | ||||
\(814\) | −6.68050 | + | 26.7630i | −0.234151 | + | 0.938043i | ||||
\(815\) | −5.21435 | − | 3.01050i | −0.182651 | − | 0.105453i | ||||
\(816\) | −1.28602 | − | 6.20822i | −0.0450198 | − | 0.217331i | ||||
\(817\) | −10.4479 | − | 18.0962i | −0.365524 | − | 0.633107i | ||||
\(818\) | 30.6423i | 1.07138i | ||||||||
\(819\) | −14.5147 | − | 4.85907i | −0.507184 | − | 0.169790i | ||||
\(820\) | 11.9706i | 0.418031i | ||||||||
\(821\) | −19.6060 | − | 33.9586i | −0.684255 | − | 1.18516i | −0.973670 | − | 0.227961i | \(-0.926794\pi\) |
0.289415 | − | 0.957204i | \(-0.406539\pi\) | |||||||
\(822\) | −0.894603 | + | 0.185316i | −0.0312029 | + | 0.00646362i | ||||
\(823\) | −4.36167 | + | 7.55463i | −0.152038 | + | 0.263338i | −0.931977 | − | 0.362518i | \(-0.881917\pi\) |
0.779938 | + | 0.625856i | \(0.215250\pi\) | |||||||
\(824\) | −6.44521 | − | 11.1634i | −0.224529 | − | 0.388896i | ||||
\(825\) | −8.34389 | − | 0.336932i | −0.290497 | − | 0.0117304i | ||||
\(826\) | −21.6190 | − | 19.4081i | −0.752222 | − | 0.675294i | ||||
\(827\) | 44.8575 | 1.55985 | 0.779925 | − | 0.625873i | \(-0.215257\pi\) | ||||
0.779925 | + | 0.625873i | \(0.215257\pi\) | |||||||
\(828\) | 5.10630 | + | 11.7963i | 0.177456 | + | 0.409951i | ||||
\(829\) | 11.8646 | − | 20.5500i | 0.412074 | − | 0.713733i | −0.583043 | − | 0.812442i | \(-0.698138\pi\) |
0.995116 | + | 0.0987089i | \(0.0314713\pi\) | |||||||
\(830\) | 3.82470 | + | 2.20819i | 0.132757 | + | 0.0766474i | ||||
\(831\) | 1.91901 | − | 5.80363i | 0.0665697 | − | 0.201326i | ||||
\(832\) | − | 1.92843i | − | 0.0668562i | ||||||
\(833\) | −23.4384 | − | 10.3526i | −0.812091 | − | 0.358696i | ||||
\(834\) | 3.26547 | + | 3.66468i | 0.113074 | + | 0.126897i | ||||
\(835\) | −3.64598 | + | 2.10501i | −0.126174 | + | 0.0728469i | ||||
\(836\) | −2.82692 | − | 9.86878i | −0.0977712 | − | 0.341319i | ||||
\(837\) | 52.9829 | − | 4.73753i | 1.83136 | − | 0.163753i | ||||
\(838\) | 4.56858 | − | 2.63767i | 0.157819 | − | 0.0911168i | ||||
\(839\) | 40.8769i | 1.41123i | 0.708597 | + | 0.705613i | \(0.249328\pi\) | ||||
−0.708597 | + | 0.705613i | \(0.750672\pi\) | |||||||
\(840\) | −8.62971 | − | 0.0319580i | −0.297753 | − | 0.00110266i | ||||
\(841\) | 65.0223 | 2.24215 | ||||||||
\(842\) | −2.03684 | − | 3.52791i | −0.0701941 | − | 0.121580i | ||||
\(843\) | 0.0161831 | + | 0.0781231i | 0.000557374 | + | 0.00269070i | ||||
\(844\) | 2.67782 | + | 1.54604i | 0.0921742 | + | 0.0532168i | ||||
\(845\) | −15.1364 | + | 8.73901i | −0.520708 | + | 0.300631i | ||||
\(846\) | −15.2523 | − | 1.76303i | −0.524385 | − | 0.0606142i | ||||
\(847\) | −5.02698 | + | 28.6658i | −0.172729 | + | 0.984969i | ||||
\(848\) | 2.39199i | 0.0821412i | ||||||||
\(849\) | 11.2973 | − | 34.1664i | 0.387723 | − | 1.17259i | ||||
\(850\) | −2.66051 | + | 4.60814i | −0.0912549 | + | 0.158058i | ||||
\(851\) | −30.8614 | − | 17.8178i | −1.05791 | − | 0.610787i | ||||
\(852\) | 5.31501 | − | 16.0741i | 0.182089 | − | 0.550690i | ||||
\(853\) | 4.60065i | 0.157523i | 0.996893 | + | 0.0787616i | \(0.0250966\pi\) | ||||
−0.996893 | + | 0.0787616i | \(0.974903\pi\) | |||||||
\(854\) | 29.2233 | − | 9.54296i | 1.00000 | − | 0.326553i | ||||
\(855\) | −2.00791 | + | 17.3708i | −0.0686690 | + | 0.594070i | ||||
\(856\) | −2.11847 | − | 3.66929i | −0.0724077 | − | 0.125414i | ||||
\(857\) | 4.67390 | − | 8.09543i | 0.159657 | − | 0.276535i | −0.775088 | − | 0.631854i | \(-0.782294\pi\) |
0.934745 | + | 0.355319i | \(0.115628\pi\) | |||||||
\(858\) | 9.36251 | + | 5.92156i | 0.319631 | + | 0.202159i | ||||
\(859\) | −9.47884 | − | 16.4178i | −0.323414 | − | 0.560169i | 0.657776 | − | 0.753213i | \(-0.271497\pi\) |
−0.981190 | + | 0.193044i | \(0.938164\pi\) | |||||||
\(860\) | 12.7132 | 0.433517 | ||||||||
\(861\) | 25.1729 | + | 14.6581i | 0.857890 | + | 0.499548i | ||||
\(862\) | −18.2204 | −0.620590 | ||||||||
\(863\) | 43.1545 | − | 24.9152i | 1.46900 | − | 0.848125i | 0.469600 | − | 0.882880i | \(-0.344398\pi\) |
0.999396 | + | 0.0347546i | \(0.0110650\pi\) | |||||||
\(864\) | −5.17550 | + | 0.462774i | −0.176074 | + | 0.0157439i | ||||
\(865\) | 19.6421 | + | 11.3404i | 0.667852 | + | 0.385585i | ||||
\(866\) | 18.5782 | + | 32.1784i | 0.631313 | + | 1.09347i | ||||
\(867\) | −4.65712 | + | 4.14981i | −0.158164 | + | 0.140935i | ||||
\(868\) | 26.5016 | + | 5.59219i | 0.899523 | + | 0.189811i | ||||
\(869\) | 25.8986 | − | 26.8042i | 0.878549 | − | 0.909269i | ||||
\(870\) | 9.92914 | − | 30.0286i | 0.336629 | − | 1.01806i | ||||
\(871\) | −18.5955 | − | 10.7361i | −0.630085 | − | 0.363780i | ||||
\(872\) | 1.52333 | + | 0.879494i | 0.0515864 | + | 0.0297834i | ||||
\(873\) | 0.0825326 | − | 0.0357260i | 0.00279330 | − | 0.00120914i | ||||
\(874\) | 13.2621 | 0.448597 | ||||||||
\(875\) | 23.9274 | + | 21.4804i | 0.808894 | + | 0.726171i | ||||
\(876\) | 2.42247 | + | 2.71861i | 0.0818476 | + | 0.0918535i | ||||
\(877\) | 39.0886 | − | 22.5678i | 1.31993 | − | 0.762060i | 0.336210 | − | 0.941787i | \(-0.390855\pi\) |
0.983717 | + | 0.179727i | \(0.0575213\pi\) | |||||||
\(878\) | 32.2063 | + | 18.5943i | 1.08691 | + | 0.627529i | ||||
\(879\) | 1.71923 | + | 8.29954i | 0.0579883 | + | 0.279936i | ||||
\(880\) | 6.05983 | + | 1.51264i | 0.204277 | + | 0.0509910i | ||||
\(881\) | − | 42.3927i | − | 1.42825i | −0.700020 | − | 0.714123i | \(-0.746826\pi\) | ||
0.700020 | − | 0.714123i | \(-0.253174\pi\) | |||||||
\(882\) | −10.6344 | + | 18.1083i | −0.358079 | + | 0.609737i | ||||
\(883\) | 54.9147 | 1.84803 | 0.924013 | − | 0.382360i | \(-0.124889\pi\) | ||||
0.924013 | + | 0.382360i | \(0.124889\pi\) | |||||||
\(884\) | 6.11314 | − | 3.52942i | 0.205607 | − | 0.118707i | ||||
\(885\) | −7.26515 | − | 35.0722i | −0.244215 | − | 1.17894i | ||||
\(886\) | −5.90271 | − | 3.40793i | −0.198305 | − | 0.114492i | ||||
\(887\) | −4.16485 | − | 7.21373i | −0.139842 | − | 0.242213i | 0.787595 | − | 0.616194i | \(-0.211326\pi\) |
−0.927437 | + | 0.373980i | \(0.877993\pi\) | |||||||
\(888\) | 10.7551 | − | 9.58350i | 0.360917 | − | 0.321601i | ||||
\(889\) | 24.6680 | + | 22.1453i | 0.827340 | + | 0.742730i | ||||
\(890\) | −23.3862 | −0.783907 | ||||||||
\(891\) | 13.6455 | − | 26.5481i | 0.457141 | − | 0.889394i | ||||
\(892\) | −8.79309 | + | 15.2301i | −0.294414 | + | 0.509941i | ||||
\(893\) | −7.92060 | + | 13.7189i | −0.265053 | + | 0.459085i | ||||
\(894\) | −21.6722 | − | 7.16605i | −0.724826 | − | 0.239669i | ||||
\(895\) | 2.00697 | 0.0670857 | ||||||||
\(896\) | −2.58874 | − | 0.546260i | −0.0864839 | − | 0.0182493i | ||||
\(897\) | −10.6850 | + | 9.52103i | −0.356761 | + | 0.317898i | ||||
\(898\) | 2.53709 | − | 1.46479i | 0.0846637 | − | 0.0488806i | ||||
\(899\) | −49.6327 | + | 85.9664i | −1.65534 | + | 2.86714i | ||||
\(900\) | 3.50138 | + | 2.59975i | 0.116713 | + | 0.0866583i | ||||
\(901\) | −7.58263 | + | 4.37783i | −0.252614 | + | 0.145847i | ||||
\(902\) | −15.1615 | − | 14.6492i | −0.504822 | − | 0.487767i | ||||
\(903\) | 15.5675 | − | 26.7346i | 0.518054 | − | 0.889672i | ||||
\(904\) | 7.04904i | 0.234448i | ||||||||
\(905\) | 9.59023 | − | 5.53692i | 0.318790 | − | 0.184054i | ||||
\(906\) | −32.9876 | + | 6.83332i | −1.09594 | + | 0.227022i | ||||
\(907\) | −7.78469 | + | 13.4835i | −0.258486 | + | 0.447712i | −0.965837 | − | 0.259152i | \(-0.916557\pi\) |
0.707350 | + | 0.706863i | \(0.249890\pi\) | |||||||
\(908\) | −2.91997 | − | 5.05754i | −0.0969027 | − | 0.167840i | ||||
\(909\) | 2.33487 | − | 20.1994i | 0.0774428 | − | 0.669973i | ||||
\(910\) | −2.98259 | − | 9.13354i | −0.0988719 | − | 0.302774i | ||||
\(911\) | − | 21.4845i | − | 0.711812i | −0.934522 | − | 0.355906i | \(-0.884172\pi\) | ||
0.934522 | − | 0.355906i | \(-0.115828\pi\) | |||||||
\(912\) | −1.68305 | + | 5.09004i | −0.0557315 | + | 0.168548i | ||||
\(913\) | −7.47737 | + | 2.14190i | −0.247465 | + | 0.0708865i | ||||
\(914\) | 6.48607 | + | 3.74473i | 0.214540 | + | 0.123865i | ||||
\(915\) | 35.9834 | + | 11.8981i | 1.18957 | + | 0.393340i | ||||
\(916\) | 19.5412 | 0.645661 | ||||||||
\(917\) | −4.94072 | − | 1.04256i | −0.163157 | − | 0.0344283i | ||||
\(918\) | −10.9392 | − | 15.5594i | −0.361049 | − | 0.513538i | ||||
\(919\) | −44.7656 | + | 25.8455i | −1.47668 | + | 0.852563i | −0.999653 | − | 0.0263245i | \(-0.991620\pi\) |
−0.477029 | + | 0.878888i | \(0.658286\pi\) | |||||||
\(920\) | −4.03441 | + | 6.98781i | −0.133011 | + | 0.230381i | ||||
\(921\) | 43.6486 | − | 9.04173i | 1.43827 | − | 0.297935i | ||||
\(922\) | 8.52468 | + | 14.7652i | 0.280745 | + | 0.486265i | ||||
\(923\) | 18.8495 | 0.620440 | ||||||||
\(924\) | 10.6013 | − | 10.8910i | 0.348756 | − | 0.358286i | ||||
\(925\) | −12.0901 | −0.397520 | ||||||||
\(926\) | −0.0529251 | − | 0.0916690i | −0.00173923 | − | 0.00301243i | ||||
\(927\) | −31.0485 | − | 23.0533i | −1.01977 | − | 0.757170i | ||||
\(928\) | 4.84825 | − | 8.39742i | 0.159152 | − | 0.275659i | ||||
\(929\) | 26.8652 | − | 15.5107i | 0.881420 | − | 0.508888i | 0.0102936 | − | 0.999947i | \(-0.496723\pi\) |
0.871126 | + | 0.491059i | \(0.163390\pi\) | |||||||
\(930\) | 22.2143 | + | 24.9300i | 0.728435 | + | 0.817486i | ||||
\(931\) | 12.7870 | + | 17.4909i | 0.419077 | + | 0.573241i | ||||
\(932\) | 15.2189 | 0.498512 | ||||||||
\(933\) | −1.49856 | + | 4.53208i | −0.0490608 | + | 0.148374i | ||||
\(934\) | −0.545934 | − | 0.315195i | −0.0178635 | − | 0.0103135i | ||||
\(935\) | 6.29567 | + | 21.9782i | 0.205891 | + | 0.718763i | ||||
\(936\) | −2.29820 | − | 5.30921i | −0.0751192 | − | 0.173537i | ||||
\(937\) | − | 31.6686i | − | 1.03457i | −0.855814 | − | 0.517283i | \(-0.826943\pi\) | ||
0.855814 | − | 0.517283i | \(-0.173057\pi\) | |||||||
\(938\) | −19.6798 | + | 21.9217i | −0.642568 | + | 0.715767i | ||||
\(939\) | 17.3978 | − | 15.5026i | 0.567754 | − | 0.505908i | ||||
\(940\) | −4.81899 | − | 8.34674i | −0.157178 | − | 0.272241i | ||||
\(941\) | 13.8313 | − | 23.9564i | 0.450886 | − | 0.780958i | −0.547555 | − | 0.836770i | \(-0.684441\pi\) |
0.998441 | + | 0.0558120i | \(0.0177747\pi\) | |||||||
\(942\) | 0.740597 | + | 3.57520i | 0.0241299 | + | 0.116486i | ||||
\(943\) | 23.5872 | − | 13.6181i | 0.768106 | − | 0.443466i | ||||
\(944\) | − | 10.9809i | − | 0.357397i | ||||||
\(945\) | −23.7968 | + | 10.1965i | −0.774110 | + | 0.331692i | ||||
\(946\) | −15.5581 | + | 16.1021i | −0.505836 | + | 0.523524i | ||||
\(947\) | −18.7065 | + | 10.8002i | −0.607879 | + | 0.350959i | −0.772135 | − | 0.635459i | \(-0.780811\pi\) |
0.164256 | + | 0.986418i | \(0.447478\pi\) | |||||||
\(948\) | −19.0600 | + | 3.94825i | −0.619040 | + | 0.128233i | ||||
\(949\) | −2.02708 | + | 3.51101i | −0.0658019 | + | 0.113972i | ||||
\(950\) | 3.89662 | − | 2.24971i | 0.126423 | − | 0.0729903i | ||||
\(951\) | 6.61622 | + | 7.42504i | 0.214546 | + | 0.240774i | ||||
\(952\) | −3.00629 | − | 9.20612i | −0.0974344 | − | 0.298372i | ||||
\(953\) | −7.18964 | −0.232895 | −0.116448 | − | 0.993197i | \(-0.537151\pi\) | ||||
−0.116448 | + | 0.993197i | \(0.537151\pi\) | |||||||
\(954\) | 2.85065 | + | 6.58545i | 0.0922933 | + | 0.213212i | ||||
\(955\) | −14.2556 | + | 24.6915i | −0.461301 | + | 0.798997i | ||||
\(956\) | −3.90906 | + | 6.77068i | −0.126428 | + | 0.218980i | ||||
\(957\) | 25.8821 | + | 49.3240i | 0.836648 | + | 1.59442i | ||||
\(958\) | 34.7778 | 1.12362 | ||||||||
\(959\) | −1.32660 | + | 0.433206i | −0.0428381 | + | 0.0139889i | ||||
\(960\) | −2.16995 | − | 2.43522i | −0.0700348 | − | 0.0785965i | ||||
\(961\) | −36.9006 | − | 63.9137i | −1.19034 | − | 2.06173i | ||||
\(962\) | 13.8899 | + | 8.01932i | 0.447827 | + | 0.258553i | ||||
\(963\) | −10.2053 | − | 7.57735i | −0.328861 | − | 0.244177i | ||||
\(964\) | −17.1878 | + | 9.92339i | −0.553583 | + | 0.319611i | ||||
\(965\) | 16.9124 | 0.544430 | ||||||||
\(966\) | 9.75445 | + | 17.0406i | 0.313844 | + | 0.548273i | ||||
\(967\) | − | 45.6617i | − | 1.46838i | −0.678944 | − | 0.734190i | \(-0.737562\pi\) | ||
0.678944 | − | 0.734190i | \(-0.262438\pi\) | |||||||
\(968\) | −9.33170 | + | 5.82404i | −0.299932 | + | 0.187192i | ||||
\(969\) | −19.2158 | + | 3.98052i | −0.617301 | + | 0.127873i | ||||
\(970\) | 0.0488899 | + | 0.0282266i | 0.00156976 | + | 0.000906301i | ||||
\(971\) | −13.2167 | + | 7.63066i | −0.424144 | + | 0.244879i | −0.696849 | − | 0.717218i | \(-0.745415\pi\) |
0.272705 | + | 0.962098i | \(0.412082\pi\) | |||||||
\(972\) | −13.6973 | + | 7.44199i | −0.439342 | + | 0.238702i | ||||
\(973\) | 5.57938 | + | 5.00879i | 0.178867 | + | 0.160574i | ||||
\(974\) | −20.4073 | −0.653891 | ||||||||
\(975\) | −1.52432 | + | 4.60997i | −0.0488172 | + | 0.147637i | ||||
\(976\) | 10.0627 | + | 5.80969i | 0.322098 | + | 0.185963i | ||||
\(977\) | 49.3619 | + | 28.4991i | 1.57923 | + | 0.911768i | 0.994967 | + | 0.100203i | \(0.0319491\pi\) |
0.584262 | + | 0.811565i | \(0.301384\pi\) | |||||||
\(978\) | −5.25786 | − | 1.73855i | −0.168128 | − | 0.0555926i | ||||
\(979\) | 28.6193 | − | 29.6201i | 0.914678 | − | 0.946661i | ||||
\(980\) | −13.1059 | + | 1.41663i | −0.418651 | + | 0.0452527i | ||||
\(981\) | 5.24206 | + | 0.605935i | 0.167366 | + | 0.0193460i | ||||
\(982\) | −16.2985 | − | 28.2298i | −0.520106 | − | 0.900851i | ||||
\(983\) | 35.1451 | + | 20.2910i | 1.12096 | + | 0.647184i | 0.941645 | − | 0.336609i | \(-0.109280\pi\) |
0.179311 | + | 0.983793i | \(0.442613\pi\) | |||||||
\(984\) | 2.23328 | + | 10.7811i | 0.0711945 | + | 0.343689i | ||||
\(985\) | 42.9133 | − | 24.7760i | 1.36733 | − | 0.789430i | ||||
\(986\) | 35.4932 | 1.13033 | ||||||||
\(987\) | −23.4533 | − | 0.0868534i | −0.746526 | − | 0.00276457i | ||||
\(988\) | −5.96891 | −0.189896 | ||||||||
\(989\) | −14.4629 | − | 25.0505i | −0.459895 | − | 0.796561i | ||||
\(990\) | 18.4862 | − | 3.05733i | 0.587530 | − | 0.0971682i | ||||
\(991\) | 24.3227 | − | 42.1282i | 0.772637 | − | 1.33825i | −0.163476 | − | 0.986547i | \(-0.552271\pi\) |
0.936113 | − | 0.351699i | \(-0.114396\pi\) | |||||||
\(992\) | 5.11862 | + | 8.86571i | 0.162516 | + | 0.281487i | ||||
\(993\) | −11.1178 | + | 9.90667i | −0.352811 | + | 0.314379i | ||||
\(994\) | 5.33945 | − | 25.3039i | 0.169357 | − | 0.802590i | ||||
\(995\) | − | 42.1340i | − | 1.33574i | ||||||
\(996\) | 3.85662 | + | 1.27521i | 0.122202 | + | 0.0404067i | ||||
\(997\) | 23.2261 | + | 13.4096i | 0.735577 | + | 0.424686i | 0.820459 | − | 0.571705i | \(-0.193718\pi\) |
−0.0848819 | + | 0.996391i | \(0.527051\pi\) | |||||||
\(998\) | 4.61628 | − | 7.99563i | 0.146126 | − | 0.253097i | ||||
\(999\) | 18.1890 | − | 39.2020i | 0.575474 | − | 1.24030i |
(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 | 462.2.n.f.263.8 | yes | 24 | |
3.2 | odd | 2 | 462.2.n.e.263.2 | yes | 24 | ||
7.2 | even | 3 | inner | 462.2.n.f.65.2 | yes | 24 | |
11.10 | odd | 2 | 462.2.n.e.263.8 | yes | 24 | ||
21.2 | odd | 6 | 462.2.n.e.65.8 | yes | 24 | ||
33.32 | even | 2 | inner | 462.2.n.f.263.2 | yes | 24 | |
77.65 | odd | 6 | 462.2.n.e.65.2 | ✓ | 24 | ||
231.65 | even | 6 | inner | 462.2.n.f.65.8 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.n.e.65.2 | ✓ | 24 | 77.65 | odd | 6 | ||
462.2.n.e.65.8 | yes | 24 | 21.2 | odd | 6 | ||
462.2.n.e.263.2 | yes | 24 | 3.2 | odd | 2 | ||
462.2.n.e.263.8 | yes | 24 | 11.10 | odd | 2 | ||
462.2.n.f.65.2 | yes | 24 | 7.2 | even | 3 | inner | |
462.2.n.f.65.8 | yes | 24 | 231.65 | even | 6 | inner | |
462.2.n.f.263.2 | yes | 24 | 33.32 | even | 2 | inner | |
462.2.n.f.263.8 | yes | 24 | 1.1 | even | 1 | trivial |