Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(146,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.146");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bn (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 230.23 | ||
Character | \(\chi\) | \(=\) | 273.230 |
Dual form | 273.2.bn.c.146.23 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.29226 | + | 0.746087i | 0.913766 | + | 0.527563i | 0.881641 | − | 0.471921i | \(-0.156439\pi\) |
0.0321252 | + | 0.999484i | \(0.489772\pi\) | |||||||
\(3\) | −1.42689 | − | 0.981832i | −0.823813 | − | 0.566861i | ||||
\(4\) | 0.113292 | + | 0.196227i | 0.0566458 | + | 0.0981134i | ||||
\(5\) | −2.73189 | −1.22174 | −0.610870 | − | 0.791731i | \(-0.709180\pi\) | ||||
−0.610870 | + | 0.791731i | \(0.709180\pi\) | |||||||
\(6\) | −1.11138 | − | 2.33336i | −0.453718 | − | 0.952592i | ||||
\(7\) | 1.84288 | − | 1.89837i | 0.696542 | − | 0.717516i | ||||
\(8\) | − | 2.64625i | − | 0.935589i | ||||||
\(9\) | 1.07201 | + | 2.80193i | 0.357337 | + | 0.933976i | ||||
\(10\) | −3.53032 | − | 2.03823i | −1.11639 | − | 0.644545i | ||||
\(11\) | −4.80144 | − | 2.77211i | −1.44769 | − | 0.835824i | −0.449346 | − | 0.893358i | \(-0.648343\pi\) |
−0.998344 | + | 0.0575343i | \(0.981676\pi\) | |||||||
\(12\) | 0.0310075 | − | 0.391227i | 0.00895110 | − | 0.112937i | ||||
\(13\) | −2.92207 | − | 2.11223i | −0.810436 | − | 0.585827i | ||||
\(14\) | 3.79783 | − | 1.07824i | 1.01501 | − | 0.288172i | ||||
\(15\) | 3.89810 | + | 2.68226i | 1.00649 | + | 0.692557i | ||||
\(16\) | 2.20091 | − | 3.81209i | 0.550228 | − | 0.953023i | ||||
\(17\) | 1.56754 | + | 2.71505i | 0.380184 | + | 0.658497i | 0.991088 | − | 0.133207i | \(-0.0425274\pi\) |
−0.610905 | + | 0.791704i | \(0.709194\pi\) | |||||||
\(18\) | −0.705164 | + | 4.42063i | −0.166209 | + | 1.04195i | ||||
\(19\) | 4.83982 | − | 2.79427i | 1.11033 | − | 0.641050i | 0.171416 | − | 0.985199i | \(-0.445166\pi\) |
0.938915 | + | 0.344149i | \(0.111833\pi\) | |||||||
\(20\) | −0.309501 | − | 0.536071i | −0.0692064 | − | 0.119869i | ||||
\(21\) | −4.49346 | + | 0.899361i | −0.980553 | + | 0.196257i | ||||
\(22\) | −4.13648 | − | 7.16459i | −0.881900 | − | 1.52749i | ||||
\(23\) | −0.778850 | − | 0.449669i | −0.162401 | − | 0.0937625i | 0.416597 | − | 0.909091i | \(-0.363223\pi\) |
−0.578998 | + | 0.815329i | \(0.696556\pi\) | |||||||
\(24\) | −2.59817 | + | 3.77589i | −0.530349 | + | 0.770751i | ||||
\(25\) | 2.46325 | 0.492649 | ||||||||
\(26\) | −2.20017 | − | 4.90967i | −0.431488 | − | 0.962865i | ||||
\(27\) | 1.22138 | − | 5.05057i | 0.235055 | − | 0.971982i | ||||
\(28\) | 0.581293 | + | 0.146553i | 0.109854 | + | 0.0276958i | ||||
\(29\) | 5.87835 | + | 3.39386i | 1.09158 | + | 0.630225i | 0.933997 | − | 0.357281i | \(-0.116296\pi\) |
0.157584 | + | 0.987506i | \(0.449629\pi\) | |||||||
\(30\) | 3.03616 | + | 6.37451i | 0.554325 | + | 1.16382i | ||||
\(31\) | 2.36359i | 0.424513i | 0.977214 | + | 0.212257i | \(0.0680813\pi\) | ||||
−0.977214 | + | 0.212257i | \(0.931919\pi\) | |||||||
\(32\) | 1.10487 | − | 0.637899i | 0.195316 | − | 0.112766i | ||||
\(33\) | 4.12936 | + | 8.66970i | 0.718830 | + | 1.50920i | ||||
\(34\) | 4.67808i | 0.802284i | ||||||||
\(35\) | −5.03455 | + | 5.18614i | −0.850994 | + | 0.876618i | ||||
\(36\) | −0.428363 | + | 0.527792i | −0.0713939 | + | 0.0879653i | ||||
\(37\) | −1.46680 | + | 2.54056i | −0.241140 | + | 0.417666i | −0.961039 | − | 0.276412i | \(-0.910855\pi\) |
0.719900 | + | 0.694078i | \(0.244188\pi\) | |||||||
\(38\) | 8.33908 | 1.35278 | ||||||||
\(39\) | 2.09561 | + | 5.88289i | 0.335566 | + | 0.942017i | ||||
\(40\) | 7.22927i | 1.14305i | ||||||||
\(41\) | −1.12250 | + | 1.94422i | −0.175305 | + | 0.303637i | −0.940267 | − | 0.340439i | \(-0.889424\pi\) |
0.764962 | + | 0.644075i | \(0.222758\pi\) | |||||||
\(42\) | −6.47772 | − | 2.19030i | −0.999534 | − | 0.337971i | ||||
\(43\) | 0.910699 | + | 1.57738i | 0.138880 | + | 0.240548i | 0.927073 | − | 0.374881i | \(-0.122316\pi\) |
−0.788193 | + | 0.615428i | \(0.788983\pi\) | |||||||
\(44\) | − | 1.25623i | − | 0.189384i | ||||||
\(45\) | −2.92862 | − | 7.65457i | −0.436573 | − | 1.14108i | ||||
\(46\) | −0.670985 | − | 1.16218i | −0.0989313 | − | 0.171354i | ||||
\(47\) | −1.03761 | −0.151351 | −0.0756756 | − | 0.997132i | \(-0.524111\pi\) | ||||
−0.0756756 | + | 0.997132i | \(0.524111\pi\) | |||||||
\(48\) | −6.88329 | + | 3.27850i | −0.993517 | + | 0.473210i | ||||
\(49\) | −0.207608 | − | 6.99692i | −0.0296583 | − | 0.999560i | ||||
\(50\) | 3.18316 | + | 1.83780i | 0.450166 | + | 0.259904i | ||||
\(51\) | 0.429030 | − | 5.41313i | 0.0600762 | − | 0.757990i | ||||
\(52\) | 0.0834302 | − | 0.812686i | 0.0115697 | − | 0.112699i | ||||
\(53\) | − | 8.97651i | − | 1.23302i | −0.787348 | − | 0.616509i | \(-0.788546\pi\) | ||
0.787348 | − | 0.616509i | \(-0.211454\pi\) | |||||||
\(54\) | 5.34651 | − | 5.61539i | 0.727568 | − | 0.764158i | ||||
\(55\) | 13.1170 | + | 7.57312i | 1.76870 | + | 1.02116i | ||||
\(56\) | −5.02355 | − | 4.87671i | −0.671300 | − | 0.651677i | ||||
\(57\) | −9.64938 | − | 0.764783i | −1.27809 | − | 0.101298i | ||||
\(58\) | 5.06424 | + | 8.77151i | 0.664967 | + | 1.15176i | ||||
\(59\) | −1.59559 | − | 2.76364i | −0.207728 | − | 0.359795i | 0.743271 | − | 0.668991i | \(-0.233274\pi\) |
−0.950998 | + | 0.309196i | \(0.899940\pi\) | |||||||
\(60\) | −0.0847093 | + | 1.06879i | −0.0109359 | + | 0.137980i | ||||
\(61\) | 1.62596 | − | 0.938746i | 0.208182 | − | 0.120194i | −0.392284 | − | 0.919844i | \(-0.628315\pi\) |
0.600466 | + | 0.799650i | \(0.294982\pi\) | |||||||
\(62\) | −1.76344 | + | 3.05438i | −0.223958 | + | 0.387906i | ||||
\(63\) | 7.29467 | + | 3.12853i | 0.919043 | + | 0.394158i | ||||
\(64\) | −6.89994 | −0.862493 | ||||||||
\(65\) | 7.98278 | + | 5.77039i | 0.990142 | + | 0.715729i | ||||
\(66\) | −1.13214 | + | 14.2844i | −0.139357 | + | 1.75829i | ||||
\(67\) | 6.70479 | − | 11.6130i | 0.819120 | − | 1.41876i | −0.0872108 | − | 0.996190i | \(-0.527795\pi\) |
0.906331 | − | 0.422568i | \(-0.138871\pi\) | |||||||
\(68\) | −0.355178 | + | 0.615186i | −0.0430716 | + | 0.0746022i | ||||
\(69\) | 0.669831 | + | 1.40633i | 0.0806381 | + | 0.169302i | ||||
\(70\) | −10.3753 | + | 2.94564i | −1.24008 | + | 0.352071i | ||||
\(71\) | 3.21113 | − | 1.85394i | 0.381091 | − | 0.220023i | −0.297202 | − | 0.954815i | \(-0.596054\pi\) |
0.678293 | + | 0.734792i | \(0.262720\pi\) | |||||||
\(72\) | 7.41459 | − | 2.83680i | 0.873818 | − | 0.334321i | ||||
\(73\) | − | 7.46851i | − | 0.874123i | −0.899432 | − | 0.437062i | \(-0.856019\pi\) | ||
0.899432 | − | 0.437062i | \(-0.143981\pi\) | |||||||
\(74\) | −3.79096 | + | 2.18871i | −0.440691 | + | 0.254433i | ||||
\(75\) | −3.51477 | − | 2.41850i | −0.405851 | − | 0.279264i | ||||
\(76\) | 1.09662 | + | 0.633135i | 0.125791 | + | 0.0726255i | ||||
\(77\) | −14.1110 | + | 4.00624i | −1.60809 | + | 0.456554i | ||||
\(78\) | −1.68108 | + | 9.16574i | −0.190345 | + | 1.03782i | ||||
\(79\) | 12.5967 | 1.41724 | 0.708620 | − | 0.705590i | \(-0.249318\pi\) | ||||
0.708620 | + | 0.705590i | \(0.249318\pi\) | |||||||
\(80\) | −6.01266 | + | 10.4142i | −0.672236 | + | 1.16435i | ||||
\(81\) | −6.70159 | + | 6.00739i | −0.744621 | + | 0.667488i | ||||
\(82\) | −2.90112 | + | 1.67496i | −0.320375 | + | 0.184969i | ||||
\(83\) | 6.48224 | 0.711518 | 0.355759 | − | 0.934578i | \(-0.384222\pi\) | ||||
0.355759 | + | 0.934578i | \(0.384222\pi\) | |||||||
\(84\) | −0.685549 | − | 0.779846i | −0.0747996 | − | 0.0850882i | ||||
\(85\) | −4.28235 | − | 7.41724i | −0.464486 | − | 0.804513i | ||||
\(86\) | 2.71784i | 0.293073i | ||||||||
\(87\) | −5.05553 | − | 10.6142i | −0.542009 | − | 1.13796i | ||||
\(88\) | −7.33570 | + | 12.7058i | −0.781988 | + | 1.35444i | ||||
\(89\) | 5.08611 | − | 8.80940i | 0.539127 | − | 0.933795i | −0.459825 | − | 0.888010i | \(-0.652088\pi\) |
0.998951 | − | 0.0457849i | \(-0.0145789\pi\) | |||||||
\(90\) | 1.92643 | − | 12.0767i | 0.203064 | − | 1.27300i | ||||
\(91\) | −9.39480 | + | 1.65459i | −0.984843 | + | 0.173448i | ||||
\(92\) | − | 0.203775i | − | 0.0212450i | ||||||
\(93\) | 2.32065 | − | 3.37258i | 0.240640 | − | 0.349720i | ||||
\(94\) | −1.34086 | − | 0.774148i | −0.138300 | − | 0.0798473i | ||||
\(95\) | −13.2219 | + | 7.63365i | −1.35654 | + | 0.783196i | ||||
\(96\) | −2.20284 | − | 0.174591i | −0.224826 | − | 0.0178191i | ||||
\(97\) | −7.68183 | + | 4.43511i | −0.779972 | + | 0.450317i | −0.836420 | − | 0.548089i | \(-0.815356\pi\) |
0.0564485 | + | 0.998406i | \(0.482022\pi\) | |||||||
\(98\) | 4.95203 | − | 9.19674i | 0.500230 | − | 0.929011i | ||||
\(99\) | 2.62006 | − | 16.4250i | 0.263326 | − | 1.65078i | ||||
\(100\) | 0.279065 | + | 0.483355i | 0.0279065 | + | 0.0483355i | ||||
\(101\) | 4.29061 | − | 7.43156i | 0.426932 | − | 0.739468i | −0.569667 | − | 0.821876i | \(-0.692928\pi\) |
0.996599 | + | 0.0824081i | \(0.0262611\pi\) | |||||||
\(102\) | 4.59309 | − | 6.67509i | 0.454783 | − | 0.660932i | ||||
\(103\) | 2.58413i | 0.254622i | 0.991863 | + | 0.127311i | \(0.0406346\pi\) | ||||
−0.991863 | + | 0.127311i | \(0.959365\pi\) | |||||||
\(104\) | −5.58948 | + | 7.73251i | −0.548094 | + | 0.758235i | ||||
\(105\) | 12.2756 | − | 2.45696i | 1.19798 | − | 0.239775i | ||||
\(106\) | 6.69725 | − | 11.6000i | 0.650495 | − | 1.12669i | ||||
\(107\) | 6.21163 | + | 3.58629i | 0.600501 | + | 0.346699i | 0.769239 | − | 0.638962i | \(-0.220636\pi\) |
−0.168738 | + | 0.985661i | \(0.553969\pi\) | |||||||
\(108\) | 1.12943 | − | 0.332518i | 0.108679 | − | 0.0319966i | ||||
\(109\) | −4.98533 | −0.477508 | −0.238754 | − | 0.971080i | \(-0.576739\pi\) | ||||
−0.238754 | + | 0.971080i | \(0.576739\pi\) | |||||||
\(110\) | 11.3004 | + | 19.5729i | 1.07745 | + | 1.86620i | ||||
\(111\) | 4.58736 | − | 2.18495i | 0.435413 | − | 0.207386i | ||||
\(112\) | −3.18075 | − | 11.2034i | −0.300552 | − | 1.05862i | ||||
\(113\) | −16.6455 | + | 9.61026i | −1.56587 | + | 0.904057i | −0.569230 | + | 0.822178i | \(0.692759\pi\) |
−0.996642 | + | 0.0818789i | \(0.973908\pi\) | |||||||
\(114\) | −11.8989 | − | 8.18757i | −1.11444 | − | 0.766837i | ||||
\(115\) | 2.12774 | + | 1.22845i | 0.198412 | + | 0.114553i | ||||
\(116\) | 1.53799i | 0.142798i | ||||||||
\(117\) | 2.78582 | − | 10.4518i | 0.257549 | − | 0.966265i | ||||
\(118\) | − | 4.76179i | − | 0.438358i | ||||||
\(119\) | 8.04295 | + | 2.02775i | 0.737296 | + | 0.185883i | ||||
\(120\) | 7.09793 | − | 10.3153i | 0.647949 | − | 0.941658i | ||||
\(121\) | 9.86923 | + | 17.0940i | 0.897202 | + | 1.55400i | ||||
\(122\) | 2.80154 | 0.253640 | ||||||||
\(123\) | 3.51058 | − | 1.67208i | 0.316538 | − | 0.150767i | ||||
\(124\) | −0.463800 | + | 0.267775i | −0.0416505 | + | 0.0240469i | ||||
\(125\) | 6.93014 | 0.619851 | ||||||||
\(126\) | 7.09246 | + | 9.48534i | 0.631847 | + | 0.845022i | ||||
\(127\) | −5.59291 | + | 9.68721i | −0.496291 | + | 0.859601i | −0.999991 | − | 0.00427785i | \(-0.998638\pi\) |
0.503700 | + | 0.863879i | \(0.331972\pi\) | |||||||
\(128\) | −11.1263 | − | 6.42375i | −0.983432 | − | 0.567785i | ||||
\(129\) | 0.249255 | − | 3.14489i | 0.0219457 | − | 0.276892i | ||||
\(130\) | 6.01063 | + | 13.4127i | 0.527167 | + | 1.17637i | ||||
\(131\) | −13.2568 | −1.15825 | −0.579126 | − | 0.815238i | \(-0.696606\pi\) | ||||
−0.579126 | + | 0.815238i | \(0.696606\pi\) | |||||||
\(132\) | −1.23341 | + | 1.79250i | −0.107354 | + | 0.156017i | ||||
\(133\) | 3.61464 | − | 14.3373i | 0.313429 | − | 1.24320i | ||||
\(134\) | 17.3287 | − | 10.0047i | 1.49697 | − | 0.864275i | ||||
\(135\) | −3.33669 | + | 13.7976i | −0.287177 | + | 1.18751i | ||||
\(136\) | 7.18470 | − | 4.14809i | 0.616083 | − | 0.355696i | ||||
\(137\) | 14.7843 | − | 8.53574i | 1.26311 | − | 0.729257i | 0.289435 | − | 0.957198i | \(-0.406532\pi\) |
0.973675 | + | 0.227940i | \(0.0731991\pi\) | |||||||
\(138\) | −0.183646 | + | 2.31709i | −0.0156330 | + | 0.197244i | ||||
\(139\) | −1.21033 | + | 0.698786i | −0.102659 | + | 0.0592702i | −0.550451 | − | 0.834868i | \(-0.685544\pi\) |
0.447791 | + | 0.894138i | \(0.352211\pi\) | |||||||
\(140\) | −1.58803 | − | 0.400366i | −0.134213 | − | 0.0338371i | ||||
\(141\) | 1.48055 | + | 1.01876i | 0.124685 | + | 0.0857951i | ||||
\(142\) | 5.53282 | 0.464304 | ||||||||
\(143\) | 8.17480 | + | 18.2421i | 0.683611 | + | 1.52548i | ||||
\(144\) | 13.0406 | + | 2.08019i | 1.08672 | + | 0.173349i | ||||
\(145\) | −16.0590 | − | 9.27168i | −1.33363 | − | 0.769971i | ||||
\(146\) | 5.57216 | − | 9.65126i | 0.461155 | − | 0.798744i | ||||
\(147\) | −6.57357 | + | 10.1876i | −0.542179 | + | 0.840263i | ||||
\(148\) | −0.664702 | −0.0546382 | ||||||||
\(149\) | −15.3595 | + | 8.86783i | −1.25830 | + | 0.726481i | −0.972744 | − | 0.231880i | \(-0.925512\pi\) |
−0.285558 | + | 0.958361i | \(0.592179\pi\) | |||||||
\(150\) | −2.73760 | − | 5.74765i | −0.223524 | − | 0.469294i | ||||
\(151\) | 2.09610 | 0.170578 | 0.0852891 | − | 0.996356i | \(-0.472819\pi\) | ||||
0.0852891 | + | 0.996356i | \(0.472819\pi\) | |||||||
\(152\) | −7.39433 | − | 12.8074i | −0.599759 | − | 1.03881i | ||||
\(153\) | −5.92697 | + | 7.30269i | −0.479167 | + | 0.590388i | ||||
\(154\) | −21.2240 | − | 5.35090i | −1.71028 | − | 0.431187i | ||||
\(155\) | − | 6.45708i | − | 0.518645i | ||||||
\(156\) | −0.916967 | + | 1.07770i | −0.0734161 | + | 0.0862848i | ||||
\(157\) | − | 10.7453i | − | 0.857571i | −0.903406 | − | 0.428786i | \(-0.858942\pi\) | ||
0.903406 | − | 0.428786i | \(-0.141058\pi\) | |||||||
\(158\) | 16.2782 | + | 9.39824i | 1.29503 | + | 0.747684i | ||||
\(159\) | −8.81342 | + | 12.8085i | −0.698950 | + | 1.01578i | ||||
\(160\) | −3.01840 | + | 1.74267i | −0.238625 | + | 0.137770i | ||||
\(161\) | −2.28896 | + | 0.649859i | −0.180395 | + | 0.0512161i | ||||
\(162\) | −13.1422 | + | 2.76315i | −1.03255 | + | 0.217093i | ||||
\(163\) | 2.58939 | + | 4.48495i | 0.202817 | + | 0.351289i | 0.949435 | − | 0.313964i | \(-0.101657\pi\) |
−0.746618 | + | 0.665253i | \(0.768324\pi\) | |||||||
\(164\) | −0.508678 | −0.0397211 | ||||||||
\(165\) | −11.2810 | − | 23.6847i | −0.878223 | − | 1.84385i | ||||
\(166\) | 8.37674 | + | 4.83631i | 0.650161 | + | 0.375371i | ||||
\(167\) | 10.2389 | − | 17.7342i | 0.792307 | − | 1.37232i | −0.132228 | − | 0.991219i | \(-0.542213\pi\) |
0.924535 | − | 0.381097i | \(-0.124454\pi\) | |||||||
\(168\) | 2.37993 | + | 11.8908i | 0.183616 | + | 0.917395i | ||||
\(169\) | 4.07697 | + | 12.3442i | 0.313613 | + | 0.949551i | ||||
\(170\) | − | 12.7800i | − | 0.980182i | ||||||
\(171\) | 13.0177 | + | 10.5653i | 0.995487 | + | 0.807951i | ||||
\(172\) | −0.206349 | + | 0.357407i | −0.0157340 | + | 0.0272520i | ||||
\(173\) | −0.888921 | − | 1.53966i | −0.0675834 | − | 0.117058i | 0.830254 | − | 0.557386i | \(-0.188196\pi\) |
−0.897837 | + | 0.440328i | \(0.854862\pi\) | |||||||
\(174\) | 1.38607 | − | 17.4882i | 0.105077 | − | 1.32578i | ||||
\(175\) | 4.53946 | − | 4.67615i | 0.343151 | − | 0.353484i | ||||
\(176\) | −21.1351 | + | 12.2024i | −1.59312 | + | 0.919788i | ||||
\(177\) | −0.436707 | + | 5.51000i | −0.0328249 | + | 0.414157i | ||||
\(178\) | 13.1452 | − | 7.58936i | 0.985271 | − | 0.568847i | ||||
\(179\) | 10.8509 | + | 6.26477i | 0.811035 | + | 0.468251i | 0.847315 | − | 0.531091i | \(-0.178218\pi\) |
−0.0362804 | + | 0.999342i | \(0.511551\pi\) | |||||||
\(180\) | 1.17024 | − | 1.44187i | 0.0872248 | − | 0.107471i | ||||
\(181\) | 20.7938i | 1.54559i | 0.634656 | + | 0.772795i | \(0.281142\pi\) | ||||
−0.634656 | + | 0.772795i | \(0.718858\pi\) | |||||||
\(182\) | −13.3750 | − | 4.87119i | −0.991421 | − | 0.361076i | ||||
\(183\) | −3.24175 | − | 0.256932i | −0.239637 | − | 0.0189929i | ||||
\(184\) | −1.18994 | + | 2.06103i | −0.0877232 | + | 0.151941i | ||||
\(185\) | 4.00713 | − | 6.94055i | 0.294610 | − | 0.510280i | ||||
\(186\) | 5.51512 | − | 2.62684i | 0.404388 | − | 0.192609i | ||||
\(187\) | − | 17.3816i | − | 1.27107i | ||||||
\(188\) | −0.117553 | − | 0.203607i | −0.00857341 | − | 0.0148496i | ||||
\(189\) | −7.33698 | − | 11.6262i | −0.533687 | − | 0.845682i | ||||
\(190\) | −22.7815 | −1.65274 | ||||||||
\(191\) | 16.9894 | − | 9.80886i | 1.22931 | − | 0.709744i | 0.262427 | − | 0.964952i | \(-0.415477\pi\) |
0.966886 | + | 0.255207i | \(0.0821437\pi\) | |||||||
\(192\) | 9.84543 | + | 6.77458i | 0.710533 | + | 0.488913i | ||||
\(193\) | 3.49255 | − | 6.04928i | 0.251399 | − | 0.435437i | −0.712512 | − | 0.701660i | \(-0.752443\pi\) |
0.963911 | + | 0.266223i | \(0.0857759\pi\) | |||||||
\(194\) | −13.2359 | −0.950282 | ||||||||
\(195\) | −5.72497 | − | 16.0714i | −0.409974 | − | 1.15090i | ||||
\(196\) | 1.34946 | − | 0.833430i | 0.0963902 | − | 0.0595307i | ||||
\(197\) | −18.7335 | − | 10.8158i | −1.33471 | − | 0.770594i | −0.348691 | − | 0.937238i | \(-0.613374\pi\) |
−0.986017 | + | 0.166644i | \(0.946707\pi\) | |||||||
\(198\) | 15.6403 | − | 19.2706i | 1.11151 | − | 1.36950i | ||||
\(199\) | −12.5873 | + | 7.26731i | −0.892294 | + | 0.515166i | −0.874692 | − | 0.484679i | \(-0.838936\pi\) |
−0.0176015 | + | 0.999845i | \(0.505603\pi\) | |||||||
\(200\) | − | 6.51836i | − | 0.460918i | ||||||
\(201\) | −20.9690 | + | 9.98751i | −1.47904 | + | 0.704464i | ||||
\(202\) | 11.0892 | − | 6.40234i | 0.780232 | − | 0.450467i | ||||
\(203\) | 17.2759 | − | 4.90479i | 1.21253 | − | 0.344249i | ||||
\(204\) | 1.11081 | − | 0.529075i | 0.0777721 | − | 0.0370427i | ||||
\(205\) | 3.06655 | − | 5.31141i | 0.214177 | − | 0.370965i | ||||
\(206\) | −1.92798 | + | 3.33937i | −0.134329 | + | 0.232665i | ||||
\(207\) | 0.425005 | − | 2.66433i | 0.0295399 | − | 0.185184i | ||||
\(208\) | −14.4832 | + | 6.49037i | −1.00423 | + | 0.450026i | ||||
\(209\) | −30.9841 | −2.14322 | ||||||||
\(210\) | 17.6964 | + | 5.98367i | 1.22117 | + | 0.412913i | ||||
\(211\) | −6.98629 | + | 12.1006i | −0.480956 | + | 0.833040i | −0.999761 | − | 0.0218526i | \(-0.993044\pi\) |
0.518805 | + | 0.854892i | \(0.326377\pi\) | |||||||
\(212\) | 1.76143 | − | 1.01696i | 0.120976 | − | 0.0698453i | ||||
\(213\) | −6.40218 | − | 0.507419i | −0.438670 | − | 0.0347678i | ||||
\(214\) | 5.35136 | + | 9.26883i | 0.365812 | + | 0.633605i | ||||
\(215\) | −2.48793 | − | 4.30923i | −0.169676 | − | 0.293887i | ||||
\(216\) | −13.3650 | − | 3.23208i | −0.909376 | − | 0.219915i | ||||
\(217\) | 4.48697 | + | 4.35581i | 0.304595 | + | 0.295691i | ||||
\(218\) | −6.44234 | − | 3.71949i | −0.436331 | − | 0.251916i | ||||
\(219\) | −7.33283 | + | 10.6567i | −0.495506 | + | 0.720114i | ||||
\(220\) | 3.43188i | 0.231378i | ||||||||
\(221\) | 1.15437 | − | 11.2446i | 0.0776510 | − | 0.756392i | ||||
\(222\) | 7.55823 | + | 0.599044i | 0.507275 | + | 0.0402052i | ||||
\(223\) | 16.2803 | + | 9.39944i | 1.09021 | + | 0.629433i | 0.933632 | − | 0.358233i | \(-0.116621\pi\) |
0.156577 | + | 0.987666i | \(0.449954\pi\) | |||||||
\(224\) | 0.825178 | − | 3.27303i | 0.0551346 | − | 0.218688i | ||||
\(225\) | 2.64063 | + | 6.90184i | 0.176042 | + | 0.460123i | ||||
\(226\) | −28.6804 | −1.90779 | ||||||||
\(227\) | 2.91196 | + | 5.04367i | 0.193274 | + | 0.334760i | 0.946333 | − | 0.323193i | \(-0.104756\pi\) |
−0.753060 | + | 0.657952i | \(0.771423\pi\) | |||||||
\(228\) | −0.943122 | − | 1.98011i | −0.0624598 | − | 0.131136i | ||||
\(229\) | 17.2490i | 1.13984i | 0.821699 | + | 0.569922i | \(0.193027\pi\) | ||||
−0.821699 | + | 0.569922i | \(0.806973\pi\) | |||||||
\(230\) | 1.83306 | + | 3.17495i | 0.120868 | + | 0.209350i | ||||
\(231\) | 24.0682 | + | 8.13814i | 1.58357 | + | 0.535451i | ||||
\(232\) | 8.98100 | − | 15.5556i | 0.589632 | − | 1.02127i | ||||
\(233\) | − | 15.1362i | − | 0.991603i | −0.868436 | − | 0.495802i | \(-0.834874\pi\) | ||
0.868436 | − | 0.495802i | \(-0.165126\pi\) | |||||||
\(234\) | 11.3979 | − | 11.4279i | 0.745106 | − | 0.747067i | ||||
\(235\) | 2.83464 | 0.184912 | ||||||||
\(236\) | 0.361533 | − | 0.626194i | 0.0235338 | − | 0.0407618i | ||||
\(237\) | −17.9741 | − | 12.3679i | −1.16754 | − | 0.803378i | ||||
\(238\) | 8.88072 | + | 8.62112i | 0.575651 | + | 0.558824i | ||||
\(239\) | 9.13875i | 0.591136i | 0.955322 | + | 0.295568i | \(0.0955090\pi\) | ||||
−0.955322 | + | 0.295568i | \(0.904491\pi\) | |||||||
\(240\) | 18.8044 | − | 8.95651i | 1.21382 | − | 0.578140i | ||||
\(241\) | −16.2277 | + | 9.36906i | −1.04532 | + | 0.603514i | −0.921335 | − | 0.388770i | \(-0.872900\pi\) |
−0.123982 | + | 0.992284i | \(0.539567\pi\) | |||||||
\(242\) | 29.4532i | 1.89332i | ||||||||
\(243\) | 15.4607 | − | 1.99203i | 0.991801 | − | 0.127789i | ||||
\(244\) | 0.368414 | + | 0.212704i | 0.0235853 | + | 0.0136170i | ||||
\(245\) | 0.567163 | + | 19.1148i | 0.0362347 | + | 1.22120i | ||||
\(246\) | 5.78410 | + | 0.458432i | 0.368781 | + | 0.0292285i | ||||
\(247\) | −20.0444 | − | 2.05776i | −1.27540 | − | 0.130932i | ||||
\(248\) | 6.25464 | 0.397170 | ||||||||
\(249\) | −9.24942 | − | 6.36447i | −0.586158 | − | 0.403332i | ||||
\(250\) | 8.95555 | + | 5.17049i | 0.566399 | + | 0.327010i | ||||
\(251\) | 5.72137 | + | 9.90971i | 0.361130 | + | 0.625495i | 0.988147 | − | 0.153510i | \(-0.0490578\pi\) |
−0.627017 | + | 0.779005i | \(0.715724\pi\) | |||||||
\(252\) | 0.212523 | + | 1.78585i | 0.0133877 | + | 0.112498i | ||||
\(253\) | 2.49307 | + | 4.31812i | 0.156738 | + | 0.271478i | ||||
\(254\) | −14.4550 | + | 8.34560i | −0.906987 | + | 0.523649i | ||||
\(255\) | −1.17206 | + | 14.7881i | −0.0733975 | + | 0.926067i | ||||
\(256\) | −2.68542 | − | 4.65128i | −0.167839 | − | 0.290705i | ||||
\(257\) | 6.64490 | − | 11.5093i | 0.414498 | − | 0.717931i | −0.580878 | − | 0.813991i | \(-0.697291\pi\) |
0.995376 | + | 0.0960597i | \(0.0306240\pi\) | |||||||
\(258\) | 2.66847 | − | 3.87805i | 0.166131 | − | 0.241437i | ||||
\(259\) | 2.11980 | + | 7.46647i | 0.131718 | + | 0.463944i | ||||
\(260\) | −0.227922 | + | 2.22017i | −0.0141351 | + | 0.137689i | ||||
\(261\) | −3.20771 | + | 20.1090i | −0.198552 | + | 1.24471i | ||||
\(262\) | −17.1312 | − | 9.89073i | −1.05837 | − | 0.611051i | ||||
\(263\) | −9.59512 | − | 5.53975i | −0.591661 | − | 0.341595i | 0.174093 | − | 0.984729i | \(-0.444301\pi\) |
−0.765754 | + | 0.643134i | \(0.777634\pi\) | |||||||
\(264\) | 22.9422 | − | 10.9273i | 1.41199 | − | 0.672529i | ||||
\(265\) | 24.5229i | 1.50643i | ||||||||
\(266\) | 15.3679 | − | 15.8306i | 0.942266 | − | 0.970639i | ||||
\(267\) | −15.9067 | + | 7.57631i | −0.973472 | + | 0.463663i | ||||
\(268\) | 3.03838 | 0.185599 | ||||||||
\(269\) | 12.8859 | + | 22.3191i | 0.785668 | + | 1.36082i | 0.928599 | + | 0.371085i | \(0.121014\pi\) |
−0.142931 | + | 0.989733i | \(0.545653\pi\) | |||||||
\(270\) | −14.6061 | + | 15.3407i | −0.888899 | + | 0.933602i | ||||
\(271\) | 23.0734 | + | 13.3214i | 1.40161 | + | 0.809218i | 0.994558 | − | 0.104188i | \(-0.0332245\pi\) |
0.407049 | + | 0.913406i | \(0.366558\pi\) | |||||||
\(272\) | 13.8001 | 0.836751 | ||||||||
\(273\) | 15.0298 | + | 6.86322i | 0.909648 | + | 0.415381i | ||||
\(274\) | 25.4736 | 1.53892 | ||||||||
\(275\) | −11.8271 | − | 6.82840i | −0.713203 | − | 0.411768i | ||||
\(276\) | −0.200073 | + | 0.290764i | −0.0120430 | + | 0.0175019i | ||||
\(277\) | 5.64884 | + | 9.78407i | 0.339406 | + | 0.587868i | 0.984321 | − | 0.176386i | \(-0.0564407\pi\) |
−0.644915 | + | 0.764254i | \(0.723107\pi\) | |||||||
\(278\) | −2.08542 | −0.125075 | ||||||||
\(279\) | −6.62261 | + | 2.53379i | −0.396485 | + | 0.151694i | ||||
\(280\) | 13.7238 | + | 13.3226i | 0.820155 | + | 0.796181i | ||||
\(281\) | − | 13.4298i | − | 0.801153i | −0.916263 | − | 0.400576i | \(-0.868810\pi\) | ||
0.916263 | − | 0.400576i | \(-0.131190\pi\) | |||||||
\(282\) | 1.15318 | + | 2.42113i | 0.0686707 | + | 0.144176i | ||||
\(283\) | −1.72819 | − | 0.997772i | −0.102730 | − | 0.0593114i | 0.447755 | − | 0.894156i | \(-0.352224\pi\) |
−0.550485 | + | 0.834845i | \(0.685557\pi\) | |||||||
\(284\) | 0.727587 | + | 0.420073i | 0.0431744 | + | 0.0249267i | ||||
\(285\) | 26.3611 | + | 2.08931i | 1.56150 | + | 0.123760i | ||||
\(286\) | −3.04618 | + | 29.6726i | −0.180125 | + | 1.75458i | ||||
\(287\) | 1.62223 | + | 5.71388i | 0.0957570 | + | 0.337280i | ||||
\(288\) | 2.97178 | + | 2.41194i | 0.175114 | + | 0.142125i | ||||
\(289\) | 3.58565 | − | 6.21053i | 0.210921 | − | 0.365325i | ||||
\(290\) | −13.8350 | − | 23.9629i | −0.812417 | − | 1.40715i | ||||
\(291\) | 15.3156 | + | 1.21387i | 0.897818 | + | 0.0711586i | ||||
\(292\) | 1.46552 | − | 0.846120i | 0.0857632 | − | 0.0495154i | ||||
\(293\) | 13.4902 | + | 23.3658i | 0.788109 | + | 1.36504i | 0.927124 | + | 0.374754i | \(0.122273\pi\) |
−0.139016 | + | 0.990290i | \(0.544394\pi\) | |||||||
\(294\) | −16.0956 | + | 8.26064i | −0.938717 | + | 0.481770i | ||||
\(295\) | 4.35898 | + | 7.54997i | 0.253790 | + | 0.439576i | ||||
\(296\) | 6.72296 | + | 3.88150i | 0.390764 | + | 0.225608i | ||||
\(297\) | −19.8651 | + | 20.8642i | −1.15269 | + | 1.21066i | ||||
\(298\) | −26.4647 | −1.53306 | ||||||||
\(299\) | 1.32605 | + | 2.95907i | 0.0766874 | + | 0.171128i | ||||
\(300\) | 0.0763792 | − | 0.963688i | 0.00440976 | − | 0.0556386i | ||||
\(301\) | 4.67275 | + | 1.17807i | 0.269333 | + | 0.0679028i | ||||
\(302\) | 2.70871 | + | 1.56387i | 0.155869 | + | 0.0899908i | ||||
\(303\) | −13.4188 | + | 6.39133i | −0.770888 | + | 0.367172i | ||||
\(304\) | − | 24.5998i | − | 1.41089i | ||||||
\(305\) | −4.44194 | + | 2.56456i | −0.254345 | + | 0.146846i | ||||
\(306\) | −13.1076 | + | 5.01495i | −0.749313 | + | 0.286686i | ||||
\(307\) | − | 22.9472i | − | 1.30966i | −0.755775 | − | 0.654832i | \(-0.772739\pi\) | ||
0.755775 | − | 0.654832i | \(-0.227261\pi\) | |||||||
\(308\) | −2.38478 | − | 2.31507i | −0.135886 | − | 0.131914i | ||||
\(309\) | 2.53718 | − | 3.68726i | 0.144335 | − | 0.209761i | ||||
\(310\) | 4.81754 | − | 8.34423i | 0.273618 | − | 0.473920i | ||||
\(311\) | −14.0205 | −0.795030 | −0.397515 | − | 0.917596i | \(-0.630127\pi\) | ||||
−0.397515 | + | 0.917596i | \(0.630127\pi\) | |||||||
\(312\) | 15.5676 | − | 5.54549i | 0.881341 | − | 0.313952i | ||||
\(313\) | 0.982717i | 0.0555465i | 0.999614 | + | 0.0277732i | \(0.00884163\pi\) | ||||
−0.999614 | + | 0.0277732i | \(0.991158\pi\) | |||||||
\(314\) | 8.01696 | − | 13.8858i | 0.452423 | − | 0.783620i | ||||
\(315\) | −19.9283 | − | 8.54683i | −1.12283 | − | 0.481559i | ||||
\(316\) | 1.42710 | + | 2.47181i | 0.0802807 | + | 0.139050i | ||||
\(317\) | − | 9.12747i | − | 0.512650i | −0.966591 | − | 0.256325i | \(-0.917488\pi\) | ||
0.966591 | − | 0.256325i | \(-0.0825117\pi\) | |||||||
\(318\) | −20.9455 | + | 9.97628i | −1.17456 | + | 0.559442i | ||||
\(319\) | −18.8164 | − | 32.5909i | −1.05351 | − | 1.82474i | ||||
\(320\) | 18.8499 | 1.05374 | ||||||||
\(321\) | −5.34216 | − | 11.2160i | −0.298170 | − | 0.626016i | ||||
\(322\) | −3.44279 | − | 0.867978i | −0.191859 | − | 0.0483705i | ||||
\(323\) | 15.1732 | + | 8.76025i | 0.844259 | + | 0.487433i | ||||
\(324\) | −1.93804 | − | 0.634444i | −0.107669 | − | 0.0352469i | ||||
\(325\) | −7.19778 | − | 5.20294i | −0.399261 | − | 0.288607i | ||||
\(326\) | 7.72764i | 0.427994i | ||||||||
\(327\) | 7.11350 | + | 4.89476i | 0.393377 | + | 0.270681i | ||||
\(328\) | 5.14489 | + | 2.97041i | 0.284079 | + | 0.164013i | ||||
\(329\) | −1.91219 | + | 1.96977i | −0.105422 | + | 0.108597i | ||||
\(330\) | 3.09289 | − | 39.0234i | 0.170258 | − | 2.14817i | ||||
\(331\) | −14.4100 | − | 24.9588i | −0.792043 | − | 1.37186i | −0.924700 | − | 0.380697i | \(-0.875684\pi\) |
0.132657 | − | 0.991162i | \(-0.457649\pi\) | |||||||
\(332\) | 0.734383 | + | 1.27199i | 0.0403045 | + | 0.0698095i | ||||
\(333\) | −8.69090 | − | 1.38634i | −0.476258 | − | 0.0759710i | ||||
\(334\) | 26.4626 | − | 15.2782i | 1.44797 | − | 0.835984i | ||||
\(335\) | −18.3168 | + | 31.7256i | −1.00075 | + | 1.73335i | ||||
\(336\) | −6.46126 | + | 19.1089i | −0.352491 | + | 1.04248i | ||||
\(337\) | 11.4930 | 0.626066 | 0.313033 | − | 0.949742i | \(-0.398655\pi\) | ||||
0.313033 | + | 0.949742i | \(0.398655\pi\) | |||||||
\(338\) | −3.94131 | + | 18.9936i | −0.214379 | + | 1.03312i | ||||
\(339\) | 33.1868 | + | 2.63030i | 1.80246 | + | 0.142858i | ||||
\(340\) | 0.970308 | − | 1.68062i | 0.0526223 | − | 0.0911445i | ||||
\(341\) | 6.55214 | − | 11.3486i | 0.354818 | − | 0.614563i | ||||
\(342\) | 8.93958 | + | 23.3655i | 0.483397 | + | 1.26346i | ||||
\(343\) | −13.6653 | − | 12.5003i | −0.737859 | − | 0.674955i | ||||
\(344\) | 4.17413 | − | 2.40993i | 0.225054 | − | 0.129935i | ||||
\(345\) | −1.82991 | − | 3.84194i | −0.0985189 | − | 0.206843i | ||||
\(346\) | − | 2.65285i | − | 0.142618i | ||||||
\(347\) | 19.8548 | − | 11.4631i | 1.06586 | − | 0.615374i | 0.138812 | − | 0.990319i | \(-0.455672\pi\) |
0.927047 | + | 0.374945i | \(0.122338\pi\) | |||||||
\(348\) | 1.51004 | − | 2.19453i | 0.0809468 | − | 0.117639i | ||||
\(349\) | −18.2528 | − | 10.5383i | −0.977052 | − | 0.564101i | −0.0756733 | − | 0.997133i | \(-0.524111\pi\) |
−0.901379 | + | 0.433031i | \(0.857444\pi\) | |||||||
\(350\) | 9.35498 | − | 2.65597i | 0.500045 | − | 0.141968i | ||||
\(351\) | −14.2369 | + | 12.1783i | −0.759911 | + | 0.650027i | ||||
\(352\) | −7.07331 | −0.377009 | ||||||||
\(353\) | 8.26451 | − | 14.3146i | 0.439876 | − | 0.761887i | −0.557804 | − | 0.829973i | \(-0.688356\pi\) |
0.997679 | + | 0.0680859i | \(0.0216892\pi\) | |||||||
\(354\) | −4.67528 | + | 6.79454i | −0.248488 | + | 0.361126i | ||||
\(355\) | −8.77246 | + | 5.06478i | −0.465594 | + | 0.268811i | ||||
\(356\) | 2.30485 | 0.122157 | ||||||||
\(357\) | −9.48547 | − | 10.7902i | −0.502025 | − | 0.571078i | ||||
\(358\) | 9.34813 | + | 16.1914i | 0.494064 | + | 0.855744i | ||||
\(359\) | 4.77131i | 0.251820i | 0.992042 | + | 0.125910i | \(0.0401851\pi\) | ||||
−0.992042 | + | 0.125910i | \(0.959815\pi\) | |||||||
\(360\) | −20.2559 | + | 7.74985i | −1.06758 | + | 0.408453i | ||||
\(361\) | 6.11590 | − | 10.5930i | 0.321889 | − | 0.557529i | ||||
\(362\) | −15.5140 | + | 26.8710i | −0.815396 | + | 1.41231i | ||||
\(363\) | 2.70118 | − | 34.0811i | 0.141775 | − | 1.78880i | ||||
\(364\) | −1.38903 | − | 1.65606i | −0.0728048 | − | 0.0868012i | ||||
\(365\) | 20.4032i | 1.06795i | ||||||||
\(366\) | −3.99749 | − | 2.75065i | −0.208952 | − | 0.143779i | ||||
\(367\) | 0.192629 | + | 0.111214i | 0.0100551 | + | 0.00580533i | 0.505019 | − | 0.863108i | \(-0.331485\pi\) |
−0.494964 | + | 0.868913i | \(0.664819\pi\) | |||||||
\(368\) | −3.42836 | + | 1.97937i | −0.178716 | + | 0.103182i | ||||
\(369\) | −6.65090 | − | 1.06093i | −0.346232 | − | 0.0552297i | ||||
\(370\) | 10.3565 | − | 5.97934i | 0.538410 | − | 0.310851i | ||||
\(371\) | −17.0407 | − | 16.5426i | −0.884710 | − | 0.858849i | ||||
\(372\) | 0.924700 | + | 0.0732891i | 0.0479435 | + | 0.00379986i | ||||
\(373\) | −1.16748 | − | 2.02213i | −0.0604496 | − | 0.104702i | 0.834217 | − | 0.551436i | \(-0.185920\pi\) |
−0.894666 | + | 0.446735i | \(0.852587\pi\) | |||||||
\(374\) | 12.9682 | − | 22.4615i | 0.670568 | − | 1.16146i | ||||
\(375\) | −9.88852 | − | 6.80424i | −0.510641 | − | 0.351369i | ||||
\(376\) | 2.74577i | 0.141603i | ||||||||
\(377\) | −10.0083 | − | 22.3335i | −0.515454 | − | 1.15023i | ||||
\(378\) | −0.807121 | − | 20.4981i | −0.0415138 | − | 1.05431i | ||||
\(379\) | −1.58669 | + | 2.74823i | −0.0815030 | + | 0.141167i | −0.903896 | − | 0.427753i | \(-0.859305\pi\) |
0.822393 | + | 0.568920i | \(0.192639\pi\) | |||||||
\(380\) | −2.99585 | − | 1.72966i | −0.153684 | − | 0.0887295i | ||||
\(381\) | 17.4917 | − | 8.33125i | 0.896125 | − | 0.426823i | ||||
\(382\) | 29.2731 | 1.49774 | ||||||||
\(383\) | −11.5345 | − | 19.9784i | −0.589386 | − | 1.02085i | −0.994313 | − | 0.106498i | \(-0.966036\pi\) |
0.404927 | − | 0.914349i | \(-0.367297\pi\) | |||||||
\(384\) | 9.56887 | + | 20.0901i | 0.488310 | + | 1.02522i | ||||
\(385\) | 38.5497 | − | 10.9446i | 1.96467 | − | 0.557790i | ||||
\(386\) | 9.02658 | − | 5.21150i | 0.459441 | − | 0.265258i | ||||
\(387\) | −3.44342 | + | 4.24268i | −0.175039 | + | 0.215667i | ||||
\(388\) | −1.74057 | − | 1.00492i | −0.0883642 | − | 0.0510171i | ||||
\(389\) | 36.7393i | 1.86276i | 0.364051 | + | 0.931379i | \(0.381393\pi\) | ||||
−0.364051 | + | 0.931379i | \(0.618607\pi\) | |||||||
\(390\) | 4.59254 | − | 25.0398i | 0.232552 | − | 1.26794i | ||||
\(391\) | − | 2.81949i | − | 0.142588i | ||||||
\(392\) | −18.5156 | + | 0.549382i | −0.935178 | + | 0.0277480i | ||||
\(393\) | 18.9160 | + | 13.0160i | 0.954184 | + | 0.656568i | ||||
\(394\) | −16.1391 | − | 27.9537i | −0.813074 | − | 1.40829i | ||||
\(395\) | −34.4129 | −1.73150 | ||||||||
\(396\) | 3.51986 | − | 1.34669i | 0.176880 | − | 0.0676737i | ||||
\(397\) | −9.72327 | + | 5.61373i | −0.487997 | + | 0.281745i | −0.723743 | − | 0.690070i | \(-0.757580\pi\) |
0.235746 | + | 0.971815i | \(0.424247\pi\) | |||||||
\(398\) | −21.6882 | −1.08713 | ||||||||
\(399\) | −19.2345 | + | 16.9087i | −0.962927 | + | 0.846493i | ||||
\(400\) | 5.42139 | − | 9.39013i | 0.271070 | − | 0.469506i | ||||
\(401\) | 12.8082 | + | 7.39483i | 0.639612 | + | 0.369280i | 0.784465 | − | 0.620173i | \(-0.212938\pi\) |
−0.144853 | + | 0.989453i | \(0.546271\pi\) | |||||||
\(402\) | −34.5490 | − | 2.73826i | −1.72315 | − | 0.136572i | ||||
\(403\) | 4.99245 | − | 6.90658i | 0.248691 | − | 0.344041i | ||||
\(404\) | 1.94436 | 0.0967356 | ||||||||
\(405\) | 18.3080 | − | 16.4116i | 0.909733 | − | 0.815497i | ||||
\(406\) | 25.9843 | + | 6.55104i | 1.28958 | + | 0.325122i | ||||
\(407\) | 14.0855 | − | 8.13225i | 0.698191 | − | 0.403101i | ||||
\(408\) | −14.3245 | − | 1.13532i | −0.709168 | − | 0.0562067i | ||||
\(409\) | 10.3595 | − | 5.98106i | 0.512244 | − | 0.295744i | −0.221512 | − | 0.975158i | \(-0.571099\pi\) |
0.733756 | + | 0.679413i | \(0.237766\pi\) | |||||||
\(410\) | 7.92555 | − | 4.57582i | 0.391415 | − | 0.225984i | ||||
\(411\) | −29.4762 | − | 2.33620i | −1.45395 | − | 0.115236i | ||||
\(412\) | −0.507075 | + | 0.292760i | −0.0249818 | + | 0.0144232i | ||||
\(413\) | −8.18688 | − | 2.06403i | −0.402850 | − | 0.101564i | ||||
\(414\) | 2.53704 | − | 3.12592i | 0.124689 | − | 0.153631i | ||||
\(415\) | −17.7088 | −0.869291 | ||||||||
\(416\) | −4.57591 | − | 0.469761i | −0.224352 | − | 0.0230319i | ||||
\(417\) | 2.41310 | + | 0.191255i | 0.118170 | + | 0.00936581i | ||||
\(418\) | −40.0396 | − | 23.1169i | −1.95840 | − | 1.13068i | ||||
\(419\) | −5.08405 | + | 8.80583i | −0.248372 | + | 0.430193i | −0.963074 | − | 0.269236i | \(-0.913229\pi\) |
0.714702 | + | 0.699429i | \(0.246562\pi\) | |||||||
\(420\) | 1.87285 | + | 2.13046i | 0.0913857 | + | 0.103956i | ||||
\(421\) | 1.53126 | 0.0746289 | 0.0373145 | − | 0.999304i | \(-0.488120\pi\) | ||||
0.0373145 | + | 0.999304i | \(0.488120\pi\) | |||||||
\(422\) | −18.0562 | + | 10.4248i | −0.878962 | + | 0.507469i | ||||
\(423\) | −1.11233 | − | 2.90731i | −0.0540834 | − | 0.141358i | ||||
\(424\) | −23.7540 | −1.15360 | ||||||||
\(425\) | 3.86123 | + | 6.68785i | 0.187297 | + | 0.324408i | ||||
\(426\) | −7.89470 | − | 5.43230i | −0.382500 | − | 0.263196i | ||||
\(427\) | 1.21435 | − | 4.81666i | 0.0587665 | − | 0.233094i | ||||
\(428\) | 1.62518i | 0.0785563i | ||||||||
\(429\) | 6.24612 | − | 34.0556i | 0.301565 | − | 1.64422i | ||||
\(430\) | − | 7.42486i | − | 0.358059i | ||||||
\(431\) | −26.7372 | − | 15.4367i | −1.28788 | − | 0.743560i | −0.309607 | − | 0.950865i | \(-0.600198\pi\) |
−0.978276 | + | 0.207305i | \(0.933531\pi\) | |||||||
\(432\) | −16.5651 | − | 15.7719i | −0.796987 | − | 0.758825i | ||||
\(433\) | −7.30929 | + | 4.22002i | −0.351262 | + | 0.202801i | −0.665241 | − | 0.746629i | \(-0.731671\pi\) |
0.313979 | + | 0.949430i | \(0.398338\pi\) | |||||||
\(434\) | 2.54852 | + | 8.97651i | 0.122333 | + | 0.430886i | ||||
\(435\) | 13.8112 | + | 28.9969i | 0.662195 | + | 1.39029i | ||||
\(436\) | −0.564796 | − | 0.978255i | −0.0270488 | − | 0.0468499i | ||||
\(437\) | −5.02599 | −0.240426 | ||||||||
\(438\) | −17.4268 | + | 8.30033i | −0.832683 | + | 0.396605i | ||||
\(439\) | 15.2471 | + | 8.80294i | 0.727706 | + | 0.420142i | 0.817583 | − | 0.575811i | \(-0.195314\pi\) |
−0.0898761 | + | 0.995953i | \(0.528647\pi\) | |||||||
\(440\) | 20.0403 | − | 34.7109i | 0.955386 | − | 1.65478i | ||||
\(441\) | 19.3823 | − | 8.08248i | 0.922967 | − | 0.384880i | ||||
\(442\) | 9.88117 | − | 13.6697i | 0.469999 | − | 0.650200i | ||||
\(443\) | 14.0924i | 0.669551i | 0.942298 | + | 0.334776i | \(0.108661\pi\) | ||||
−0.942298 | + | 0.334776i | \(0.891339\pi\) | |||||||
\(444\) | 0.948455 | + | 0.652626i | 0.0450117 | + | 0.0309723i | ||||
\(445\) | −13.8947 | + | 24.0664i | −0.658673 | + | 1.14085i | ||||
\(446\) | 14.0256 | + | 24.2930i | 0.664131 | + | 1.15031i | ||||
\(447\) | 30.6230 | + | 2.42710i | 1.44842 | + | 0.114798i | ||||
\(448\) | −12.7157 | + | 13.0986i | −0.600762 | + | 0.618852i | ||||
\(449\) | 17.2357 | − | 9.95103i | 0.813402 | − | 0.469618i | −0.0347338 | − | 0.999397i | \(-0.511058\pi\) |
0.848136 | + | 0.529779i | \(0.177725\pi\) | |||||||
\(450\) | −1.73699 | + | 10.8891i | −0.0818826 | + | 0.513318i | ||||
\(451\) | 10.7792 | − | 6.22338i | 0.507573 | − | 0.293048i | ||||
\(452\) | −3.77158 | − | 2.17752i | −0.177400 | − | 0.102422i | ||||
\(453\) | −2.99090 | − | 2.05802i | −0.140525 | − | 0.0966942i | ||||
\(454\) | 8.69031i | 0.407856i | ||||||||
\(455\) | 25.6656 | − | 4.52015i | 1.20322 | − | 0.211908i | ||||
\(456\) | −2.02380 | + | 25.5346i | −0.0947733 | + | 1.19577i | ||||
\(457\) | 12.3601 | − | 21.4083i | 0.578181 | − | 1.00144i | −0.417507 | − | 0.908674i | \(-0.637096\pi\) |
0.995688 | − | 0.0927651i | \(-0.0295706\pi\) | |||||||
\(458\) | −12.8692 | + | 22.2902i | −0.601340 | + | 1.04155i | ||||
\(459\) | 15.6271 | − | 4.60083i | 0.729412 | − | 0.214748i | ||||
\(460\) | 0.556692i | 0.0259559i | ||||||||
\(461\) | 13.0742 | + | 22.6451i | 0.608925 | + | 1.05469i | 0.991418 | + | 0.130730i | \(0.0417322\pi\) |
−0.382493 | + | 0.923958i | \(0.624934\pi\) | |||||||
\(462\) | 25.0306 | + | 28.4736i | 1.16453 | + | 1.32471i | ||||
\(463\) | 22.7832 | 1.05883 | 0.529413 | − | 0.848364i | \(-0.322412\pi\) | ||||
0.529413 | + | 0.848364i | \(0.322412\pi\) | |||||||
\(464\) | 25.8755 | − | 14.9392i | 1.20124 | − | 0.693535i | ||||
\(465\) | −6.33977 | + | 9.21352i | −0.294000 | + | 0.427267i | ||||
\(466\) | 11.2929 | − | 19.5599i | 0.523133 | − | 0.906094i | ||||
\(467\) | 11.7468 | 0.543578 | 0.271789 | − | 0.962357i | \(-0.412385\pi\) | ||||
0.271789 | + | 0.962357i | \(0.412385\pi\) | |||||||
\(468\) | 2.36652 | − | 0.637443i | 0.109393 | − | 0.0294658i | ||||
\(469\) | −9.68972 | − | 34.1296i | −0.447430 | − | 1.57596i | ||||
\(470\) | 3.66310 | + | 2.11489i | 0.168966 | + | 0.0975527i | ||||
\(471\) | −10.5501 | + | 15.3324i | −0.486124 | + | 0.706479i | ||||
\(472\) | −7.31327 | + | 4.22232i | −0.336621 | + | 0.194348i | ||||
\(473\) | − | 10.0982i | − | 0.464318i | ||||||
\(474\) | −13.9997 | − | 29.3927i | −0.643027 | − | 1.35005i | ||||
\(475\) | 11.9217 | − | 6.88298i | 0.547004 | − | 0.315813i | ||||
\(476\) | 0.513301 | + | 1.80797i | 0.0235271 | + | 0.0828681i | ||||
\(477\) | 25.1515 | − | 9.62291i | 1.15161 | − | 0.440603i | ||||
\(478\) | −6.81830 | + | 11.8096i | −0.311862 | + | 0.540161i | ||||
\(479\) | 3.81589 | − | 6.60932i | 0.174353 | − | 0.301988i | −0.765584 | − | 0.643335i | \(-0.777550\pi\) |
0.939937 | + | 0.341348i | \(0.110883\pi\) | |||||||
\(480\) | 6.01792 | + | 0.476964i | 0.274679 | + | 0.0217703i | ||||
\(481\) | 9.65233 | − | 4.32550i | 0.440108 | − | 0.197226i | ||||
\(482\) | −27.9605 | −1.27357 | ||||||||
\(483\) | 3.90414 | + | 1.32010i | 0.177645 | + | 0.0600667i | ||||
\(484\) | −2.23620 | + | 3.87321i | −0.101645 | + | 0.176055i | ||||
\(485\) | 20.9860 | − | 12.1162i | 0.952923 | − | 0.550170i | ||||
\(486\) | 21.4654 | + | 8.96077i | 0.973691 | + | 0.406469i | ||||
\(487\) | 10.7128 | + | 18.5552i | 0.485446 | + | 0.840816i | 0.999860 | − | 0.0167253i | \(-0.00532408\pi\) |
−0.514415 | + | 0.857542i | \(0.671991\pi\) | |||||||
\(488\) | −2.48415 | − | 4.30268i | −0.112452 | − | 0.194773i | ||||
\(489\) | 0.708707 | − | 8.94186i | 0.0320488 | − | 0.404365i | ||||
\(490\) | −13.5284 | + | 25.1245i | −0.611152 | + | 1.13501i | ||||
\(491\) | −2.74421 | − | 1.58437i | −0.123845 | − | 0.0715017i | 0.436798 | − | 0.899560i | \(-0.356112\pi\) |
−0.560643 | + | 0.828058i | \(0.689446\pi\) | |||||||
\(492\) | 0.725826 | + | 0.499437i | 0.0327228 | + | 0.0225163i | ||||
\(493\) | 21.2800i | 0.958405i | ||||||||
\(494\) | −24.3674 | − | 17.6140i | −1.09634 | − | 0.792493i | ||||
\(495\) | −7.15773 | + | 44.8714i | −0.321716 | + | 2.01682i | ||||
\(496\) | 9.01023 | + | 5.20206i | 0.404571 | + | 0.233579i | ||||
\(497\) | 2.39824 | − | 9.51249i | 0.107576 | − | 0.426694i | ||||
\(498\) | −7.20421 | − | 15.1254i | −0.322828 | − | 0.677787i | ||||
\(499\) | 1.64154 | 0.0734852 | 0.0367426 | − | 0.999325i | \(-0.488302\pi\) | ||||
0.0367426 | + | 0.999325i | \(0.488302\pi\) | |||||||
\(500\) | 0.785127 | + | 1.35988i | 0.0351119 | + | 0.0608156i | ||||
\(501\) | −32.0217 | + | 15.2519i | −1.43063 | + | 0.681404i | ||||
\(502\) | 17.0746i | 0.762075i | ||||||||
\(503\) | −11.4570 | − | 19.8441i | −0.510843 | − | 0.884805i | −0.999921 | − | 0.0125654i | \(-0.996000\pi\) |
0.489079 | − | 0.872240i | \(-0.337333\pi\) | |||||||
\(504\) | 8.27887 | − | 19.3035i | 0.368770 | − | 0.859846i | ||||
\(505\) | −11.7215 | + | 20.3022i | −0.521600 | + | 0.903437i | ||||
\(506\) | 7.44018i | 0.330756i | ||||||||
\(507\) | 6.30252 | − | 21.6166i | 0.279905 | − | 0.960028i | ||||
\(508\) | −2.53452 | −0.112451 | ||||||||
\(509\) | −13.5701 | + | 23.5041i | −0.601485 | + | 1.04180i | 0.391112 | + | 0.920343i | \(0.372091\pi\) |
−0.992596 | + | 0.121459i | \(0.961243\pi\) | |||||||
\(510\) | −12.5478 | + | 18.2356i | −0.555627 | + | 0.807487i | ||||
\(511\) | −14.1780 | − | 13.7636i | −0.627197 | − | 0.608864i | ||||
\(512\) | 17.6808i | 0.781388i | ||||||||
\(513\) | −8.20137 | − | 27.8567i | −0.362099 | − | 1.22990i | ||||
\(514\) | 17.1739 | − | 9.91535i | 0.757508 | − | 0.437347i | ||||
\(515\) | − | 7.05956i | − | 0.311082i | ||||||
\(516\) | 0.645351 | − | 0.307379i | 0.0284100 | − | 0.0135316i | ||||
\(517\) | 4.98203 | + | 2.87638i | 0.219109 | + | 0.126503i | ||||
\(518\) | −2.83129 | + | 11.2302i | −0.124400 | + | 0.493426i | ||||
\(519\) | −0.243295 | + | 3.06969i | −0.0106795 | + | 0.134744i | ||||
\(520\) | 15.2699 | − | 21.1244i | 0.669628 | − | 0.926367i | ||||
\(521\) | 29.5173 | 1.29318 | 0.646588 | − | 0.762839i | \(-0.276195\pi\) | ||||
0.646588 | + | 0.762839i | \(0.276195\pi\) | |||||||
\(522\) | −19.1482 | + | 23.5928i | −0.838095 | + | 1.03263i | ||||
\(523\) | −22.2430 | − | 12.8420i | −0.972619 | − | 0.561542i | −0.0725853 | − | 0.997362i | \(-0.523125\pi\) |
−0.900034 | + | 0.435820i | \(0.856458\pi\) | |||||||
\(524\) | −1.50188 | − | 2.60134i | −0.0656101 | − | 0.113640i | ||||
\(525\) | −11.0685 | + | 2.21535i | −0.483069 | + | 0.0966857i | ||||
\(526\) | −8.26627 | − | 14.3176i | −0.360426 | − | 0.624277i | ||||
\(527\) | −6.41728 | + | 3.70502i | −0.279541 | + | 0.161393i | ||||
\(528\) | 42.1381 | + | 3.33975i | 1.83382 | + | 0.145344i | ||||
\(529\) | −11.0956 | − | 19.2181i | −0.482417 | − | 0.835571i | ||||
\(530\) | −18.2962 | + | 31.6899i | −0.794736 | + | 1.37652i | ||||
\(531\) | 6.03303 | − | 7.43337i | 0.261811 | − | 0.322581i | ||||
\(532\) | 3.22286 | − | 0.915002i | 0.139729 | − | 0.0396704i | ||||
\(533\) | 7.38666 | − | 3.31018i | 0.319952 | − | 0.143380i | ||||
\(534\) | −26.2081 | − | 2.07718i | −1.13414 | − | 0.0898885i | ||||
\(535\) | −16.9695 | − | 9.79736i | −0.733656 | − | 0.423577i | ||||
\(536\) | −30.7310 | − | 17.7425i | −1.32737 | − | 0.766360i | ||||
\(537\) | −9.33205 | − | 19.5929i | −0.402708 | − | 0.845495i | ||||
\(538\) | 38.4561i | 1.65796i | ||||||||
\(539\) | −18.3994 | + | 34.1708i | −0.792520 | + | 1.47184i | ||||
\(540\) | −3.08548 | + | 0.908405i | −0.132778 | + | 0.0390915i | ||||
\(541\) | 8.86441 | 0.381111 | 0.190555 | − | 0.981676i | \(-0.438971\pi\) | ||||
0.190555 | + | 0.981676i | \(0.438971\pi\) | |||||||
\(542\) | 19.8779 | + | 34.4295i | 0.853827 | + | 1.47887i | ||||
\(543\) | 20.4160 | − | 29.6704i | 0.876135 | − | 1.27328i | ||||
\(544\) | 3.46386 | + | 1.99986i | 0.148512 | + | 0.0857433i | ||||
\(545\) | 13.6194 | 0.583391 | ||||||||
\(546\) | 14.3019 | + | 20.0826i | 0.612066 | + | 0.859457i | ||||
\(547\) | −9.77953 | −0.418143 | −0.209071 | − | 0.977900i | \(-0.567044\pi\) | ||||
−0.209071 | + | 0.977900i | \(0.567044\pi\) | |||||||
\(548\) | 3.34988 | + | 1.93405i | 0.143100 | + | 0.0826187i | ||||
\(549\) | 4.37334 | + | 3.54946i | 0.186650 | + | 0.151487i | ||||
\(550\) | −10.1892 | − | 17.6481i | −0.434467 | − | 0.752520i | ||||
\(551\) | 37.9335 | 1.61602 | ||||||||
\(552\) | 3.72149 | − | 1.77254i | 0.158397 | − | 0.0754442i | ||||
\(553\) | 23.2142 | − | 23.9132i | 0.987168 | − | 1.01689i | ||||
\(554\) | 16.8581i | 0.716232i | ||||||||
\(555\) | −12.5322 | + | 5.96905i | −0.531961 | + | 0.253372i | ||||
\(556\) | −0.274241 | − | 0.158333i | −0.0116304 | − | 0.00671482i | ||||
\(557\) | 2.45545 | + | 1.41766i | 0.104041 | + | 0.0600680i | 0.551118 | − | 0.834428i | \(-0.314202\pi\) |
−0.447077 | + | 0.894496i | \(0.647535\pi\) | |||||||
\(558\) | −10.4486 | − | 1.66672i | −0.442323 | − | 0.0705578i | ||||
\(559\) | 0.670657 | − | 6.53281i | 0.0283658 | − | 0.276308i | ||||
\(560\) | 8.68946 | + | 30.6064i | 0.367197 | + | 1.29336i | ||||
\(561\) | −17.0658 | + | 24.8015i | −0.720518 | + | 1.04712i | ||||
\(562\) | 10.0198 | − | 17.3548i | 0.422659 | − | 0.732066i | ||||
\(563\) | −15.0972 | − | 26.1492i | −0.636273 | − | 1.10206i | −0.986244 | − | 0.165296i | \(-0.947142\pi\) |
0.349971 | − | 0.936761i | \(-0.386191\pi\) | |||||||
\(564\) | −0.0321738 | + | 0.405941i | −0.00135476 | + | 0.0170932i | ||||
\(565\) | 45.4736 | − | 26.2542i | 1.91309 | − | 1.10452i | ||||
\(566\) | −1.48885 | − | 2.57876i | −0.0625810 | − | 0.108393i | ||||
\(567\) | −0.945955 | + | 23.7930i | −0.0397264 | + | 0.999211i | ||||
\(568\) | −4.90599 | − | 8.49743i | −0.205851 | − | 0.356544i | ||||
\(569\) | 6.05199 | + | 3.49412i | 0.253712 | + | 0.146481i | 0.621463 | − | 0.783444i | \(-0.286539\pi\) |
−0.367750 | + | 0.929924i | \(0.619872\pi\) | |||||||
\(570\) | 32.5066 | + | 22.3676i | 1.36155 | + | 0.936875i | ||||
\(571\) | −0.691674 | −0.0289457 | −0.0144728 | − | 0.999895i | \(-0.504607\pi\) | ||||
−0.0144728 | + | 0.999895i | \(0.504607\pi\) | |||||||
\(572\) | −2.65344 | + | 3.67079i | −0.110946 | + | 0.153483i | ||||
\(573\) | −33.8727 | − | 2.68465i | −1.41505 | − | 0.112153i | ||||
\(574\) | −2.16671 | + | 8.59414i | −0.0904368 | + | 0.358713i | ||||
\(575\) | −1.91850 | − | 1.10765i | −0.0800070 | − | 0.0461920i | ||||
\(576\) | −7.39681 | − | 19.3331i | −0.308200 | − | 0.805547i | ||||
\(577\) | 28.5220i | 1.18739i | 0.804691 | + | 0.593693i | \(0.202331\pi\) | ||||
−0.804691 | + | 0.593693i | \(0.797669\pi\) | |||||||
\(578\) | 9.26720 | − | 5.35042i | 0.385465 | − | 0.222548i | ||||
\(579\) | −10.9229 | + | 5.20253i | −0.453938 | + | 0.216210i | ||||
\(580\) | − | 4.20161i | − | 0.174462i | ||||||
\(581\) | 11.9460 | − | 12.3057i | 0.495602 | − | 0.510526i | ||||
\(582\) | 18.8861 | + | 12.9954i | 0.782855 | + | 0.538678i | ||||
\(583\) | −24.8839 | + | 43.1002i | −1.03059 | + | 1.78503i | ||||
\(584\) | −19.7635 | −0.817820 | ||||||||
\(585\) | −7.61057 | + | 28.5531i | −0.314658 | + | 1.18053i | ||||
\(586\) | 40.2596i | 1.66311i | ||||||||
\(587\) | 7.10897 | − | 12.3131i | 0.293418 | − | 0.508216i | −0.681197 | − | 0.732100i | \(-0.738540\pi\) |
0.974616 | + | 0.223884i | \(0.0718738\pi\) | |||||||
\(588\) | −2.74382 | − | 0.135736i | −0.113153 | − | 0.00559764i | ||||
\(589\) | 6.60451 | + | 11.4394i | 0.272134 | + | 0.471350i | ||||
\(590\) | 13.0087i | 0.535560i | ||||||||
\(591\) | 16.1113 | + | 33.8261i | 0.662731 | + | 1.39142i | ||||
\(592\) | 6.45658 | + | 11.1831i | 0.265364 | + | 0.459624i | ||||
\(593\) | 11.0169 | 0.452412 | 0.226206 | − | 0.974080i | \(-0.427368\pi\) | ||||
0.226206 | + | 0.974080i | \(0.427368\pi\) | |||||||
\(594\) | −41.2374 | + | 12.1408i | −1.69199 | + | 0.498144i | ||||
\(595\) | −21.9725 | − | 5.53959i | −0.900785 | − | 0.227101i | ||||
\(596\) | −3.48021 | − | 2.00930i | −0.142555 | − | 0.0823042i | ||||
\(597\) | 25.0960 | + | 1.98904i | 1.02711 | + | 0.0814059i | ||||
\(598\) | −0.494126 | + | 4.81324i | −0.0202063 | + | 0.196828i | ||||
\(599\) | − | 9.21125i | − | 0.376362i | −0.982134 | − | 0.188181i | \(-0.939741\pi\) | ||
0.982134 | − | 0.188181i | \(-0.0602591\pi\) | |||||||
\(600\) | −6.39994 | + | 9.30096i | −0.261276 | + | 0.379710i | ||||
\(601\) | 14.6701 | + | 8.46981i | 0.598407 | + | 0.345491i | 0.768415 | − | 0.639952i | \(-0.221046\pi\) |
−0.170007 | + | 0.985443i | \(0.554379\pi\) | |||||||
\(602\) | 5.15947 | + | 5.00865i | 0.210284 | + | 0.204137i | ||||
\(603\) | 39.7265 | + | 6.33703i | 1.61779 | + | 0.258064i | ||||
\(604\) | 0.237471 | + | 0.411311i | 0.00966254 | + | 0.0167360i | ||||
\(605\) | −26.9617 | − | 46.6990i | −1.09615 | − | 1.89858i | ||||
\(606\) | −22.1090 | − | 1.75230i | −0.898118 | − | 0.0711823i | ||||
\(607\) | 19.8418 | − | 11.4557i | 0.805354 | − | 0.464971i | −0.0399857 | − | 0.999200i | \(-0.512731\pi\) |
0.845340 | + | 0.534229i | \(0.179398\pi\) | |||||||
\(608\) | 3.56492 | − | 6.17463i | 0.144577 | − | 0.250414i | ||||
\(609\) | −29.4664 | − | 9.96343i | −1.19404 | − | 0.403739i | ||||
\(610\) | −7.65353 | −0.309882 | ||||||||
\(611\) | 3.03197 | + | 2.19167i | 0.122660 | + | 0.0886656i | ||||
\(612\) | −2.10446 | − | 0.335696i | −0.0850677 | − | 0.0135697i | ||||
\(613\) | −20.3388 | + | 35.2278i | −0.821477 | + | 1.42284i | 0.0831059 | + | 0.996541i | \(0.473516\pi\) |
−0.904583 | + | 0.426299i | \(0.859817\pi\) | |||||||
\(614\) | 17.1206 | − | 29.6537i | 0.690930 | − | 1.19673i | ||||
\(615\) | −9.59053 | + | 4.56795i | −0.386727 | + | 0.184198i | ||||
\(616\) | 10.6015 | + | 37.3411i | 0.427147 | + | 1.50451i | ||||
\(617\) | 18.7586 | − | 10.8303i | 0.755195 | − | 0.436012i | −0.0723732 | − | 0.997378i | \(-0.523057\pi\) |
0.827568 | + | 0.561366i | \(0.189724\pi\) | |||||||
\(618\) | 6.02971 | − | 2.87194i | 0.242551 | − | 0.115526i | ||||
\(619\) | 13.0520i | 0.524605i | 0.964986 | + | 0.262302i | \(0.0844817\pi\) | ||||
−0.964986 | + | 0.262302i | \(0.915518\pi\) | |||||||
\(620\) | 1.26705 | − | 0.731533i | 0.0508860 | − | 0.0293791i | ||||
\(621\) | −3.22236 | + | 3.38441i | −0.129309 | + | 0.135812i | ||||
\(622\) | −18.1181 | − | 10.4605i | −0.726471 | − | 0.419428i | ||||
\(623\) | −7.35042 | − | 25.8900i | −0.294488 | − | 1.03726i | ||||
\(624\) | 27.0384 | + | 4.95909i | 1.08240 | + | 0.198523i | ||||
\(625\) | −31.2486 | −1.24995 | ||||||||
\(626\) | −0.733193 | + | 1.26993i | −0.0293043 | + | 0.0507565i | ||||
\(627\) | 44.2109 | + | 30.4212i | 1.76561 | + | 1.21491i | ||||
\(628\) | 2.10852 | − | 1.21736i | 0.0841392 | − | 0.0485778i | ||||
\(629\) | −9.19703 | −0.366709 | ||||||||
\(630\) | −19.3759 | − | 25.9130i | −0.771953 | − | 1.03240i | ||||
\(631\) | −3.42275 | − | 5.92838i | −0.136258 | − | 0.236005i | 0.789820 | − | 0.613339i | \(-0.210174\pi\) |
−0.926077 | + | 0.377334i | \(0.876841\pi\) | |||||||
\(632\) | − | 33.3340i | − | 1.32596i | ||||||
\(633\) | 21.8494 | − | 10.4068i | 0.868436 | − | 0.413634i | ||||
\(634\) | 6.80989 | − | 11.7951i | 0.270455 | − | 0.468442i | ||||
\(635\) | 15.2792 | − | 26.4644i | 0.606338 | − | 1.05021i | ||||
\(636\) | −3.51185 | − | 0.278339i | −0.139254 | − | 0.0110369i | ||||
\(637\) | −14.1725 | + | 20.8840i | −0.561533 | + | 0.827454i | ||||
\(638\) | − | 56.1546i | − | 2.22318i | ||||||
\(639\) | 8.63698 | + | 7.00989i | 0.341674 | + | 0.277307i | ||||
\(640\) | 30.3958 | + | 17.5490i | 1.20150 | + | 0.693686i | ||||
\(641\) | −32.2373 | + | 18.6122i | −1.27330 | + | 0.735138i | −0.975607 | − | 0.219525i | \(-0.929549\pi\) |
−0.297690 | + | 0.954663i | \(0.596216\pi\) | |||||||
\(642\) | 1.46465 | − | 18.4797i | 0.0578052 | − | 0.729336i | ||||
\(643\) | 25.6103 | − | 14.7861i | 1.00997 | − | 0.583107i | 0.0987882 | − | 0.995108i | \(-0.468503\pi\) |
0.911183 | + | 0.412001i | \(0.135170\pi\) | |||||||
\(644\) | −0.386840 | − | 0.375532i | −0.0152436 | − | 0.0147980i | ||||
\(645\) | −0.680939 | + | 8.59151i | −0.0268120 | + | 0.338290i | ||||
\(646\) | 13.0718 | + | 22.6410i | 0.514304 | + | 0.890800i | ||||
\(647\) | 12.1062 | − | 20.9686i | 0.475944 | − | 0.824360i | −0.523676 | − | 0.851918i | \(-0.675440\pi\) |
0.999620 | + | 0.0275577i | \(0.00877300\pi\) | |||||||
\(648\) | 15.8970 | + | 17.7340i | 0.624495 | + | 0.696659i | ||||
\(649\) | 17.6926i | 0.694496i | ||||||||
\(650\) | −5.41956 | − | 12.0937i | −0.212573 | − | 0.474355i | ||||
\(651\) | −2.12572 | − | 10.6207i | −0.0833136 | − | 0.416258i | ||||
\(652\) | −0.586712 | + | 1.01621i | −0.0229774 | + | 0.0397980i | ||||
\(653\) | −13.1479 | − | 7.59096i | −0.514518 | − | 0.297057i | 0.220171 | − | 0.975461i | \(-0.429339\pi\) |
−0.734689 | + | 0.678404i | \(0.762672\pi\) | |||||||
\(654\) | 5.54058 | + | 11.6326i | 0.216654 | + | 0.454870i | ||||
\(655\) | 36.2162 | 1.41508 | ||||||||
\(656\) | 4.94104 | + | 8.55813i | 0.192915 | + | 0.334139i | ||||
\(657\) | 20.9262 | − | 8.00633i | 0.816410 | − | 0.312357i | ||||
\(658\) | −3.94067 | + | 1.11879i | −0.153623 | + | 0.0436151i | ||||
\(659\) | −15.5162 | + | 8.95828i | −0.604425 | + | 0.348965i | −0.770780 | − | 0.637101i | \(-0.780133\pi\) |
0.166355 | + | 0.986066i | \(0.446800\pi\) | |||||||
\(660\) | 3.36953 | − | 4.89691i | 0.131159 | − | 0.190612i | ||||
\(661\) | −8.15101 | − | 4.70599i | −0.317037 | − | 0.183042i | 0.333034 | − | 0.942915i | \(-0.391928\pi\) |
−0.650071 | + | 0.759873i | \(0.725261\pi\) | |||||||
\(662\) | − | 43.0043i | − | 1.67141i | ||||||
\(663\) | −12.6874 | + | 14.9113i | −0.492739 | + | 0.579108i | ||||
\(664\) | − | 17.1536i | − | 0.665689i | ||||||
\(665\) | −9.87480 | + | 39.1679i | −0.382928 | + | 1.51887i | ||||
\(666\) | −10.1966 | − | 8.27568i | −0.395109 | − | 0.320676i | ||||
\(667\) | −3.05223 | − | 5.28662i | −0.118183 | − | 0.204699i | ||||
\(668\) | 4.63991 | 0.179523 | ||||||||
\(669\) | −14.0015 | − | 29.3965i | −0.541328 | − | 1.13653i | ||||
\(670\) | −47.3401 | + | 27.3318i | −1.82891 | + | 1.05592i | ||||
\(671\) | −10.4092 | −0.401844 | ||||||||
\(672\) | −4.39100 | + | 3.86005i | −0.169386 | + | 0.148905i | ||||
\(673\) | −4.30087 | + | 7.44933i | −0.165786 | + | 0.287151i | −0.936934 | − | 0.349506i | \(-0.886350\pi\) |
0.771148 | + | 0.636656i | \(0.219683\pi\) | |||||||
\(674\) | 14.8520 | + | 8.57481i | 0.572078 | + | 0.330289i | ||||
\(675\) | 3.00857 | − | 12.4408i | 0.115800 | − | 0.478846i | ||||
\(676\) | −1.96037 | + | 2.19850i | −0.0753988 | + | 0.0845577i | ||||
\(677\) | −0.179419 | −0.00689562 | −0.00344781 | − | 0.999994i | \(-0.501097\pi\) | ||||
−0.00344781 | + | 0.999994i | \(0.501097\pi\) | |||||||
\(678\) | 40.9236 | + | 28.1593i | 1.57166 | + | 1.08145i | ||||
\(679\) | −5.73720 | + | 22.7563i | −0.220174 | + | 0.873307i | ||||
\(680\) | −19.6279 | + | 11.3321i | −0.752694 | + | 0.434568i | ||||
\(681\) | 0.796994 | − | 10.0558i | 0.0305409 | − | 0.385339i | ||||
\(682\) | 16.9342 | − | 9.77694i | 0.648442 | − | 0.374378i | ||||
\(683\) | 7.02462 | − | 4.05566i | 0.268789 | − | 0.155186i | −0.359548 | − | 0.933127i | \(-0.617069\pi\) |
0.628337 | + | 0.777941i | \(0.283736\pi\) | |||||||
\(684\) | −0.598407 | + | 3.75138i | −0.0228807 | + | 0.143438i | ||||
\(685\) | −40.3892 | + | 23.3187i | −1.54319 | + | 0.890963i | ||||
\(686\) | −8.33282 | − | 26.3492i | −0.318149 | − | 1.00602i | ||||
\(687\) | 16.9356 | − | 24.6123i | 0.646134 | − | 0.939019i | ||||
\(688\) | 8.01748 | 0.305664 | ||||||||
\(689\) | −18.9604 | + | 26.2300i | −0.722335 | + | 0.999282i | ||||
\(690\) | 0.501702 | − | 6.33005i | 0.0190995 | − | 0.240981i | ||||
\(691\) | −39.8678 | − | 23.0177i | −1.51664 | − | 0.875633i | −0.999809 | − | 0.0195462i | \(-0.993778\pi\) |
−0.516832 | − | 0.856087i | \(-0.672889\pi\) | |||||||
\(692\) | 0.201415 | − | 0.348860i | 0.00765664 | − | 0.0132617i | ||||
\(693\) | −26.3523 | − | 35.2431i | −1.00104 | − | 1.33878i | ||||
\(694\) | 34.2100 | 1.29859 | ||||||||
\(695\) | 3.30650 | − | 1.90901i | 0.125423 | − | 0.0724128i | ||||
\(696\) | −28.0878 | + | 13.3782i | −1.06467 | + | 0.507098i | ||||
\(697\) | −7.03823 | −0.266592 | ||||||||
\(698\) | −15.7250 | − | 27.2364i | −0.595198 | − | 1.03091i | ||||
\(699\) | −14.8612 | + | 21.5976i | −0.562101 | + | 0.816896i | ||||
\(700\) | 1.43187 | + | 0.360995i | 0.0541196 | + | 0.0136443i | ||||
\(701\) | − | 13.7239i | − | 0.518344i | −0.965831 | − | 0.259172i | \(-0.916550\pi\) | ||
0.965831 | − | 0.259172i | \(-0.0834497\pi\) | |||||||
\(702\) | −27.4839 | + | 5.11550i | −1.03731 | + | 0.193072i | ||||
\(703\) | 16.3945i | 0.618330i | ||||||||
\(704\) | 33.1297 | + | 19.1274i | 1.24862 | + | 0.720892i | ||||
\(705\) | −4.04472 | − | 2.78315i | −0.152333 | − | 0.104819i | ||||
\(706\) | 21.3598 | − | 12.3321i | 0.803887 | − | 0.464124i | ||||
\(707\) | −6.20077 | − | 21.8406i | −0.233204 | − | 0.821401i | ||||
\(708\) | −1.13069 | + | 0.538543i | −0.0424937 | + | 0.0202397i | ||||
\(709\) | 19.8771 | + | 34.4282i | 0.746502 | + | 1.29298i | 0.949490 | + | 0.313798i | \(0.101601\pi\) |
−0.202988 | + | 0.979181i | \(0.565065\pi\) | |||||||
\(710\) | −15.1151 | −0.567258 | ||||||||
\(711\) | 13.5038 | + | 35.2951i | 0.506432 | + | 1.32367i | ||||
\(712\) | −23.3118 | − | 13.4591i | −0.873648 | − | 0.504401i | ||||
\(713\) | 1.06283 | − | 1.84088i | 0.0398034 | − | 0.0689416i | ||||
\(714\) | −4.20728 | − | 21.0207i | −0.157453 | − | 0.786681i | ||||
\(715\) | −22.3327 | − | 49.8354i | −0.835196 | − | 1.86374i | ||||
\(716\) | 2.83898i | 0.106098i | ||||||||
\(717\) | 8.97272 | − | 13.0400i | 0.335092 | − | 0.486986i | ||||
\(718\) | −3.55982 | + | 6.16578i | −0.132851 | + | 0.230105i | ||||
\(719\) | −1.45563 | − | 2.52122i | −0.0542858 | − | 0.0940258i | 0.837605 | − | 0.546276i | \(-0.183955\pi\) |
−0.891891 | + | 0.452250i | \(0.850622\pi\) | |||||||
\(720\) | −35.6256 | − | 5.68286i | −1.32769 | − | 0.211788i | ||||
\(721\) | 4.90563 | + | 4.76223i | 0.182695 | + | 0.177355i | ||||
\(722\) | 15.8067 | − | 9.12598i | 0.588263 | − | 0.339634i | ||||
\(723\) | 32.3539 | + | 2.56428i | 1.20325 | + | 0.0953666i | ||||
\(724\) | −4.08030 | + | 2.35576i | −0.151643 | + | 0.0875512i | ||||
\(725\) | 14.4798 | + | 8.35993i | 0.537767 | + | 0.310480i | ||||
\(726\) | 28.9181 | − | 42.0264i | 1.07325 | − | 1.55975i | ||||
\(727\) | 16.3030i | 0.604645i | 0.953206 | + | 0.302322i | \(0.0977619\pi\) | ||||
−0.953206 | + | 0.302322i | \(0.902238\pi\) | |||||||
\(728\) | 4.37844 | + | 24.8610i | 0.162276 | + | 0.921409i | ||||
\(729\) | −24.0164 | − | 12.3374i | −0.889498 | − | 0.456939i | ||||
\(730\) | −15.2226 | + | 26.3662i | −0.563412 | + | 0.975858i | ||||
\(731\) | −2.85511 | + | 4.94520i | −0.105600 | + | 0.182905i | ||||
\(732\) | −0.316846 | − | 0.665226i | −0.0117110 | − | 0.0245874i | ||||
\(733\) | 1.06305i | 0.0392646i | 0.999807 | + | 0.0196323i | \(0.00624956\pi\) | ||||
−0.999807 | + | 0.0196323i | \(0.993750\pi\) | |||||||
\(734\) | 0.165951 | + | 0.287435i | 0.00612536 | + | 0.0106094i | ||||
\(735\) | 17.9583 | − | 27.8316i | 0.662402 | − | 1.02658i | ||||
\(736\) | −1.14737 | −0.0422928 | ||||||||
\(737\) | −64.3853 | + | 37.1729i | −2.37166 | + | 1.36928i | ||||
\(738\) | −7.80315 | − | 6.33315i | −0.287238 | − | 0.233126i | ||||
\(739\) | 14.5653 | − | 25.2279i | 0.535794 | − | 0.928022i | −0.463331 | − | 0.886186i | \(-0.653346\pi\) |
0.999124 | − | 0.0418368i | \(-0.0133209\pi\) | |||||||
\(740\) | 1.81590 | 0.0667537 | ||||||||
\(741\) | 26.5808 | + | 22.6164i | 0.976468 | + | 0.830836i | ||||
\(742\) | −9.67883 | − | 34.0912i | −0.355321 | − | 1.25153i | ||||
\(743\) | 4.35485 | + | 2.51427i | 0.159764 | + | 0.0922397i | 0.577750 | − | 0.816214i | \(-0.303931\pi\) |
−0.417987 | + | 0.908453i | \(0.637264\pi\) | |||||||
\(744\) | −8.92467 | − | 6.14101i | −0.327194 | − | 0.225140i | ||||
\(745\) | 41.9606 | − | 24.2260i | 1.53732 | − | 0.887572i | ||||
\(746\) | − | 3.48415i | − | 0.127564i | ||||||
\(747\) | 6.94903 | + | 18.1628i | 0.254252 | + | 0.664541i | ||||
\(748\) | 3.41073 | − | 1.96919i | 0.124709 | − | 0.0720005i | ||||
\(749\) | 18.2554 | − | 5.18288i | 0.667037 | − | 0.189378i | ||||
\(750\) | −7.70200 | − | 16.1705i | −0.281237 | − | 0.590465i | ||||
\(751\) | 21.4022 | − | 37.0697i | 0.780977 | − | 1.35269i | −0.150396 | − | 0.988626i | \(-0.548055\pi\) |
0.931373 | − | 0.364066i | \(-0.118612\pi\) | |||||||
\(752\) | −2.28369 | + | 3.95547i | −0.0832777 | + | 0.144241i | ||||
\(753\) | 1.56592 | − | 19.7575i | 0.0570653 | − | 0.720002i | ||||
\(754\) | 3.72940 | − | 36.3278i | 0.135817 | − | 1.32298i | ||||
\(755\) | −5.72633 | −0.208402 | ||||||||
\(756\) | 1.45016 | − | 2.75686i | 0.0527417 | − | 0.100266i | ||||
\(757\) | −12.1617 | + | 21.0646i | −0.442024 | + | 0.765607i | −0.997840 | − | 0.0656980i | \(-0.979073\pi\) |
0.555816 | + | 0.831305i | \(0.312406\pi\) | |||||||
\(758\) | −4.10084 | + | 2.36762i | −0.148949 | + | 0.0859959i | ||||
\(759\) | 0.682345 | − | 8.60924i | 0.0247675 | − | 0.312496i | ||||
\(760\) | 20.2005 | + | 34.9883i | 0.732750 | + | 1.26916i | ||||
\(761\) | 20.5036 | + | 35.5132i | 0.743253 | + | 1.28735i | 0.951006 | + | 0.309171i | \(0.100052\pi\) |
−0.207753 | + | 0.978181i | \(0.566615\pi\) | |||||||
\(762\) | 28.8196 | + | 2.28416i | 1.04402 | + | 0.0827465i | ||||
\(763\) | −9.18735 | + | 9.46399i | −0.332604 | + | 0.342620i | ||||
\(764\) | 3.84952 | + | 2.22252i | 0.139271 | + | 0.0804081i | ||||
\(765\) | 16.1918 | − | 19.9502i | 0.585417 | − | 0.721300i | ||||
\(766\) | − | 34.4230i | − | 1.24375i | ||||||
\(767\) | −1.17502 | + | 11.4458i | −0.0424276 | + | 0.413284i | ||||
\(768\) | −0.734990 | + | 9.27348i | −0.0265217 | + | 0.334628i | ||||
\(769\) | −19.8423 | − | 11.4560i | −0.715533 | − | 0.413113i | 0.0975737 | − | 0.995228i | \(-0.468892\pi\) |
−0.813106 | + | 0.582115i | \(0.802225\pi\) | |||||||
\(770\) | 57.9818 | + | 14.6181i | 2.08952 | + | 0.526799i | ||||
\(771\) | −20.7817 | + | 9.89830i | −0.748436 | + | 0.356479i | ||||
\(772\) | 1.58271 | 0.0569629 | ||||||||
\(773\) | −19.7617 | − | 34.2283i | −0.710780 | − | 1.23111i | −0.964565 | − | 0.263847i | \(-0.915009\pi\) |
0.253784 | − | 0.967261i | \(-0.418325\pi\) | |||||||
\(774\) | −7.61520 | + | 2.91356i | −0.273723 | + | 0.104726i | ||||
\(775\) | 5.82211i | 0.209136i | ||||||||
\(776\) | 11.7364 | + | 20.3280i | 0.421312 | + | 0.729733i | ||||
\(777\) | 4.30610 | − | 12.7351i | 0.154480 | − | 0.456869i | ||||
\(778\) | −27.4107 | + | 47.4768i | −0.982722 | + | 1.70213i | ||||
\(779\) | 12.5463i | 0.449516i | ||||||||
\(780\) | 2.50506 | − | 2.94415i | 0.0896954 | − | 0.105418i | ||||
\(781\) | −20.5574 | −0.735601 | ||||||||
\(782\) | 2.10359 | − | 3.64352i | 0.0752241 | − | 0.130292i | ||||
\(783\) | 24.3207 | − | 25.5438i | 0.869149 | − | 0.912860i | ||||
\(784\) | −27.1298 | − | 14.6082i | −0.968923 | − | 0.521721i | ||||
\(785\) | 29.3551i | 1.04773i | ||||||||
\(786\) | 14.7333 | + | 30.9329i | 0.525520 | + | 1.10334i | ||||
\(787\) | 1.33472 | − | 0.770603i | 0.0475778 | − | 0.0274690i | −0.476022 | − | 0.879433i | \(-0.657922\pi\) |
0.523600 | + | 0.851964i | \(0.324589\pi\) | |||||||
\(788\) | − | 4.90136i | − | 0.174604i | ||||||
\(789\) | 8.25205 | + | 17.3254i | 0.293781 | + | 0.616800i | ||||
\(790\) | −44.4704 | − | 25.6750i | −1.58219 | − | 0.913476i | ||||
\(791\) | −12.4317 | + | 49.3097i | −0.442021 | + | 1.75325i | ||||
\(792\) | −43.4647 | − | 6.93333i | −1.54445 | − | 0.246365i | ||||
\(793\) | −6.73400 | − | 0.691311i | −0.239131 | − | 0.0245492i | ||||
\(794\) | −16.7533 | −0.594553 | ||||||||
\(795\) | 24.0773 | − | 34.9914i | 0.853935 | − | 1.24102i | ||||
\(796\) | −2.85208 | − | 1.64665i | −0.101089 | − | 0.0583640i | ||||
\(797\) | 24.6129 | + | 42.6309i | 0.871835 | + | 1.51006i | 0.860096 | + | 0.510132i | \(0.170403\pi\) |
0.0117386 | + | 0.999931i | \(0.496263\pi\) | |||||||
\(798\) | −37.4713 | + | 7.49984i | −1.32647 | + | 0.265491i | ||||
\(799\) | −1.62649 | − | 2.81717i | −0.0575412 | − | 0.0996643i | ||||
\(800\) | 2.72158 | − | 1.57130i | 0.0962223 | − | 0.0555539i | ||||
\(801\) | 30.1357 | + | 4.80713i | 1.06479 | + | 0.169852i | ||||
\(802\) | 11.0344 | + | 19.1121i | 0.389637 | + | 0.674872i | ||||
\(803\) | −20.7036 | + | 35.8596i | −0.730613 | + | 1.26546i | ||||
\(804\) | −4.33543 | − | 2.98318i | −0.152899 | − | 0.105209i | ||||
\(805\) | 6.25320 | − | 1.77535i | 0.220396 | − | 0.0625727i | ||||
\(806\) | 11.6044 | − | 5.20030i | 0.408749 | − | 0.183173i | ||||
\(807\) | 3.52683 | − | 44.4986i | 0.124150 | − | 1.56642i | ||||
\(808\) | −19.6657 | − | 11.3540i | −0.691838 | − | 0.399433i | ||||
\(809\) | 27.9253 | + | 16.1227i | 0.981801 | + | 0.566843i | 0.902813 | − | 0.430033i | \(-0.141498\pi\) |
0.0789874 | + | 0.996876i | \(0.474831\pi\) | |||||||
\(810\) | 35.9032 | − | 7.54863i | 1.26151 | − | 0.265232i | ||||
\(811\) | − | 46.2744i | − | 1.62492i | −0.583020 | − | 0.812458i | \(-0.698129\pi\) | ||
0.583020 | − | 0.812458i | \(-0.301871\pi\) | |||||||
\(812\) | 2.91966 | + | 2.83432i | 0.102460 | + | 0.0994650i | ||||
\(813\) | −19.8437 | − | 41.6623i | −0.695948 | − | 1.46116i | ||||
\(814\) | 24.2695 | 0.850644 | ||||||||
\(815\) | −7.07394 | − | 12.2524i | −0.247789 | − | 0.429183i | ||||
\(816\) | −19.6911 | − | 13.5493i | −0.689327 | − | 0.474322i | ||||
\(817\) | 8.81524 | + | 5.08948i | 0.308406 | + | 0.178058i | ||||
\(818\) | 17.8496 | 0.624095 | ||||||||
\(819\) | −14.7074 | − | 24.5498i | −0.513917 | − | 0.857840i | ||||
\(820\) | 1.38966 | 0.0485289 | ||||||||
\(821\) | 13.4915 | + | 7.78933i | 0.470857 | + | 0.271849i | 0.716598 | − | 0.697486i | \(-0.245698\pi\) |
−0.245741 | + | 0.969335i | \(0.579031\pi\) | |||||||
\(822\) | −36.3479 | − | 25.0108i | −1.26778 | − | 0.872352i | ||||
\(823\) | −11.0357 | − | 19.1143i | −0.384679 | − | 0.666283i | 0.607046 | − | 0.794667i | \(-0.292354\pi\) |
−0.991725 | + | 0.128384i | \(0.959021\pi\) | |||||||
\(824\) | 6.83824 | 0.238221 | ||||||||
\(825\) | 10.1716 | + | 21.3556i | 0.354131 | + | 0.743507i | ||||
\(826\) | −9.03964 | − | 8.77540i | −0.314529 | − | 0.305335i | ||||
\(827\) | 43.0278i | 1.49622i | 0.663573 | + | 0.748112i | \(0.269039\pi\) | ||||
−0.663573 | + | 0.748112i | \(0.730961\pi\) | |||||||
\(828\) | 0.570962 | − | 0.218449i | 0.0198423 | − | 0.00759162i | ||||
\(829\) | 10.0663 | + | 5.81180i | 0.349618 | + | 0.201852i | 0.664517 | − | 0.747273i | \(-0.268637\pi\) |
−0.314899 | + | 0.949125i | \(0.601971\pi\) | |||||||
\(830\) | −22.8844 | − | 13.2123i | −0.794328 | − | 0.458606i | ||||
\(831\) | 1.54607 | − | 19.5070i | 0.0536325 | − | 0.676690i | ||||
\(832\) | 20.1621 | + | 14.5743i | 0.698995 | + | 0.505271i | ||||
\(833\) | 18.6716 | − | 11.5316i | 0.646932 | − | 0.399546i | ||||
\(834\) | 2.97566 | + | 2.04753i | 0.103039 | + | 0.0709002i | ||||
\(835\) | −27.9715 | + | 48.4481i | −0.967994 | + | 1.67661i | ||||
\(836\) | −3.51024 | − | 6.07992i | −0.121404 | − | 0.210278i | ||||
\(837\) | 11.9375 | + | 2.88685i | 0.412619 | + | 0.0997842i | ||||
\(838\) | −13.1398 | + | 7.58628i | −0.453908 | + | 0.262064i | ||||
\(839\) | 20.5689 | + | 35.6264i | 0.710117 | + | 1.22996i | 0.964813 | + | 0.262938i | \(0.0846915\pi\) |
−0.254695 | + | 0.967021i | \(0.581975\pi\) | |||||||
\(840\) | −6.50172 | − | 32.4844i | −0.224331 | − | 1.12082i | ||||
\(841\) | 8.53663 | + | 14.7859i | 0.294367 | + | 0.509858i | ||||
\(842\) | 1.97878 | + | 1.14245i | 0.0681934 | + | 0.0393715i | ||||
\(843\) | −13.1858 | + | 19.1628i | −0.454142 | + | 0.660000i | ||||
\(844\) | −3.16595 | −0.108976 | ||||||||
\(845\) | −11.1379 | − | 33.7229i | −0.383154 | − | 1.16010i | ||||
\(846\) | 0.731686 | − | 4.58690i | 0.0251559 | − | 0.157701i | ||||
\(847\) | 50.6385 | + | 12.7667i | 1.73996 | + | 0.438669i | ||||
\(848\) | −34.2193 | − | 19.7565i | −1.17509 | − | 0.678441i | ||||
\(849\) | 1.48629 | + | 3.12050i | 0.0510093 | + | 0.107095i | ||||
\(850\) | 11.5233i | 0.395245i | ||||||||
\(851\) | 2.28483 | − | 1.31915i | 0.0783229 | − | 0.0452197i | ||||
\(852\) | −0.625744 | − | 1.31376i | −0.0214376 | − | 0.0450088i | ||||
\(853\) | − | 23.2038i | − | 0.794482i | −0.917714 | − | 0.397241i | \(-0.869968\pi\) | ||
0.917714 | − | 0.397241i | \(-0.130032\pi\) | |||||||
\(854\) | 5.16290 | − | 5.31837i | 0.176671 | − | 0.181991i | ||||
\(855\) | −35.5629 | − | 28.8634i | −1.21623 | − | 0.987106i | ||||
\(856\) | 9.49020 | − | 16.4375i | 0.324368 | − | 0.561822i | ||||
\(857\) | 17.3181 | 0.591575 | 0.295788 | − | 0.955254i | \(-0.404418\pi\) | ||||
0.295788 | + | 0.955254i | \(0.404418\pi\) | |||||||
\(858\) | 33.4801 | − | 39.3486i | 1.14299 | − | 1.34334i | ||||
\(859\) | − | 1.05148i | − | 0.0358759i | −0.999839 | − | 0.0179379i | \(-0.994290\pi\) | ||
0.999839 | − | 0.0179379i | \(-0.00571013\pi\) | |||||||
\(860\) | 0.563724 | − | 0.976398i | 0.0192228 | − | 0.0332949i | ||||
\(861\) | 3.29534 | − | 9.74581i | 0.112305 | − | 0.332136i | ||||
\(862\) | −23.0343 | − | 39.8965i | −0.784550 | − | 1.35888i | ||||
\(863\) | − | 18.0952i | − | 0.615968i | −0.951392 | − | 0.307984i | \(-0.900346\pi\) | ||
0.951392 | − | 0.307984i | \(-0.0996543\pi\) | |||||||
\(864\) | −1.87228 | − | 6.35936i | −0.0636961 | − | 0.216350i | ||||
\(865\) | 2.42844 | + | 4.20618i | 0.0825694 | + | 0.143014i | ||||
\(866\) | −12.5940 | −0.427962 | ||||||||
\(867\) | −11.2140 | + | 5.34122i | −0.380848 | + | 0.181397i | ||||
\(868\) | −0.346390 | + | 1.37394i | −0.0117573 | + | 0.0466345i | ||||
\(869\) | −60.4824 | − | 34.9195i | −2.05172 | − | 1.18456i | ||||
\(870\) | −3.78658 | + | 47.7759i | −0.128377 | + | 1.61975i | ||||
\(871\) | −44.1212 | + | 19.7720i | −1.49499 | + | 0.669950i | ||||
\(872\) | 13.1924i | 0.446751i | ||||||||
\(873\) | −20.6619 | − | 16.7694i | −0.699298 | − | 0.567560i | ||||
\(874\) | −6.49489 | − | 3.74983i | −0.219693 | − | 0.126840i | ||||
\(875\) | 12.7714 | − | 13.1560i | 0.431752 | − | 0.444753i | ||||
\(876\) | −2.92188 | − | 0.231580i | −0.0987212 | − | 0.00782437i | ||||
\(877\) | 2.08989 | + | 3.61980i | 0.0705707 | + | 0.122232i | 0.899152 | − | 0.437637i | \(-0.144185\pi\) |
−0.828581 | + | 0.559869i | \(0.810851\pi\) | |||||||
\(878\) | 13.1355 | + | 22.7514i | 0.443302 | + | 0.767822i | ||||
\(879\) | 3.69224 | − | 46.5855i | 0.124536 | − | 1.57129i | ||||
\(880\) | 57.7389 | − | 33.3356i | 1.94638 | − | 1.12374i | ||||
\(881\) | 22.0623 | − | 38.2129i | 0.743296 | − | 1.28743i | −0.207690 | − | 0.978195i | \(-0.566595\pi\) |
0.950987 | − | 0.309232i | \(-0.100072\pi\) | |||||||
\(882\) | 31.0772 | + | 4.01622i | 1.04642 | + | 0.135233i | ||||
\(883\) | 15.3513 | 0.516612 | 0.258306 | − | 0.966063i | \(-0.416836\pi\) | ||||
0.258306 | + | 0.966063i | \(0.416836\pi\) | |||||||
\(884\) | 2.33727 | − | 1.04740i | 0.0786108 | − | 0.0352278i | ||||
\(885\) | 1.19304 | − | 15.0527i | 0.0401035 | − | 0.505992i | ||||
\(886\) | −10.5142 | + | 18.2111i | −0.353231 | + | 0.611813i | ||||
\(887\) | −16.8966 | + | 29.2658i | −0.567333 | + | 0.982650i | 0.429495 | + | 0.903069i | \(0.358692\pi\) |
−0.996828 | + | 0.0795811i | \(0.974642\pi\) | |||||||
\(888\) | −5.78192 | − | 12.1393i | −0.194028 | − | 0.407368i | ||||
\(889\) | 8.08284 | + | 28.4697i | 0.271090 | + | 0.954845i | ||||
\(890\) | −35.9112 | + | 20.7333i | −1.20375 | + | 0.694983i | ||||
\(891\) | 48.8304 | − | 10.2666i | 1.63588 | − | 0.343943i | ||||
\(892\) | 4.25951i | 0.142619i | ||||||||
\(893\) | −5.02185 | + | 2.89937i | −0.168050 | + | 0.0970236i | ||||
\(894\) | 37.7621 | + | 25.9839i | 1.26295 | + | 0.869032i | ||||
\(895\) | −29.6435 | − | 17.1147i | −0.990874 | − | 0.572081i | ||||
\(896\) | −32.6990 | + | 9.28357i | −1.09240 | + | 0.310142i | ||||
\(897\) | 1.01319 | − | 5.52422i | 0.0338295 | − | 0.184448i | ||||
\(898\) | 29.6973 | 0.991013 | ||||||||
\(899\) | −8.02171 | + | 13.8940i | −0.267539 | + | 0.463391i | ||||
\(900\) | −1.05516 | + | 1.30008i | −0.0351722 | + | 0.0433361i | ||||
\(901\) | 24.3717 | − | 14.0710i | 0.811939 | − | 0.468773i | ||||
\(902\) | 18.5727 | 0.618405 | ||||||||
\(903\) | −5.51082 | − | 6.26883i | −0.183389 | − | 0.208614i | ||||
\(904\) | 25.4311 | + | 44.0480i | 0.845826 | + | 1.46501i | ||||
\(905\) | − | 56.8064i | − | 1.88831i | ||||||
\(906\) | −2.32956 | − | 4.89097i | −0.0773944 | − | 0.162492i | ||||
\(907\) | −0.313363 | + | 0.542760i | −0.0104050 | + | 0.0180220i | −0.871181 | − | 0.490962i | \(-0.836645\pi\) |
0.860776 | + | 0.508984i | \(0.169979\pi\) | |||||||
\(908\) | −0.659801 | + | 1.14281i | −0.0218963 | + | 0.0379255i | ||||
\(909\) | 25.4223 | + | 4.05527i | 0.843203 | + | 0.134505i | ||||
\(910\) | 36.5391 | + | 13.3076i | 1.21126 | + | 0.441142i | ||||
\(911\) | 7.90527i | 0.261913i | 0.991388 | + | 0.130957i | \(0.0418049\pi\) | ||||
−0.991388 | + | 0.130957i | \(0.958195\pi\) | |||||||
\(912\) | −24.1529 | + | 35.1011i | −0.799781 | + | 1.16231i | ||||
\(913\) | −31.1241 | − | 17.9695i | −1.03006 | − | 0.594704i | ||||
\(914\) | 31.9449 | − | 18.4434i | 1.05664 | − | 0.610054i | ||||
\(915\) | 8.85611 | + | 0.701910i | 0.292774 | + | 0.0232044i | ||||
\(916\) | −3.38471 | + | 1.95416i | −0.111834 | + | 0.0645674i | ||||
\(917\) | −24.4307 | + | 25.1663i | −0.806771 | + | 0.831064i | ||||
\(918\) | 23.6269 | + | 5.71373i | 0.779805 | + | 0.188581i | ||||
\(919\) | 8.11060 | + | 14.0480i | 0.267544 | + | 0.463400i | 0.968227 | − | 0.250073i | \(-0.0804546\pi\) |
−0.700683 | + | 0.713473i | \(0.747121\pi\) | |||||||
\(920\) | 3.25078 | − | 5.63051i | 0.107175 | − | 0.185632i | ||||
\(921\) | −22.5303 | + | 32.7430i | −0.742397 | + | 1.07892i | ||||
\(922\) | 39.0179i | 1.28499i | ||||||||
\(923\) | −13.2991 | − | 1.36528i | −0.437745 | − | 0.0449388i | ||||
\(924\) | 1.12980 | + | 5.64481i | 0.0371678 | + | 0.185701i | ||||
\(925\) | −3.61308 | + | 6.25804i | −0.118797 | + | 0.205763i | ||||
\(926\) | 29.4419 | + | 16.9983i | 0.967520 | + | 0.558598i | ||||
\(927\) | −7.24054 | + | 2.77021i | −0.237810 | + | 0.0909857i | ||||
\(928\) | 8.65977 | 0.284271 | ||||||||
\(929\) | −12.4689 | − | 21.5967i | −0.409091 | − | 0.708566i | 0.585697 | − | 0.810530i | \(-0.300821\pi\) |
−0.994788 | + | 0.101964i | \(0.967487\pi\) | |||||||
\(930\) | −15.0667 | + | 7.17625i | −0.494057 | + | 0.235319i | ||||
\(931\) | −20.5561 | − | 33.2837i | −0.673698 | − | 1.09083i | ||||
\(932\) | 2.97012 | − | 1.71480i | 0.0972896 | − | 0.0561701i | ||||
\(933\) | 20.0057 | + | 13.7658i | 0.654956 | + | 0.450671i | ||||
\(934\) | 15.1799 | + | 8.76414i | 0.496703 | + | 0.286772i | ||||
\(935\) | 47.4846i | 1.55291i | ||||||||
\(936\) | −27.6579 | − | 7.37197i | −0.904027 | − | 0.240960i | ||||
\(937\) | − | 17.5533i | − | 0.573440i | −0.958014 | − | 0.286720i | \(-0.907435\pi\) | ||
0.958014 | − | 0.286720i | \(-0.0925649\pi\) | |||||||
\(938\) | 12.9420 | − | 51.3337i | 0.422570 | − | 1.67610i | ||||
\(939\) | 0.964864 | − | 1.40223i | 0.0314871 | − | 0.0457599i | ||||
\(940\) | 0.321141 | + | 0.556233i | 0.0104745 | + | 0.0181423i | ||||
\(941\) | −16.1819 | −0.527514 | −0.263757 | − | 0.964589i | \(-0.584962\pi\) | ||||
−0.263757 | + | 0.964589i | \(0.584962\pi\) | |||||||
\(942\) | −25.0728 | + | 11.9421i | −0.816916 | + | 0.389095i | ||||
\(943\) | 1.74851 | − | 1.00951i | 0.0569395 | − | 0.0328740i | ||||
\(944\) | −14.0470 | −0.457191 | ||||||||
\(945\) | 20.0438 | + | 31.7616i | 0.652026 | + | 1.03320i | ||||
\(946\) | 7.53417 | − | 13.0496i | 0.244957 | − | 0.424278i | ||||
\(947\) | −4.78591 | − | 2.76314i | −0.155521 | − | 0.0897901i | 0.420220 | − | 0.907422i | \(-0.361953\pi\) |
−0.575741 | + | 0.817632i | \(0.695286\pi\) | |||||||
\(948\) | 0.390593 | − | 4.92817i | 0.0126859 | − | 0.160059i | ||||
\(949\) | −15.7752 | + | 21.8235i | −0.512085 | + | 0.708421i | ||||
\(950\) | 20.5412 | 0.666445 | ||||||||
\(951\) | −8.96165 | + | 13.0239i | −0.290601 | + | 0.422328i | ||||
\(952\) | 5.36592 | − | 21.2836i | 0.173910 | − | 0.689807i | ||||
\(953\) | −38.2971 | + | 22.1108i | −1.24056 | + | 0.716240i | −0.969209 | − | 0.246239i | \(-0.920805\pi\) |
−0.271355 | + | 0.962479i | \(0.587472\pi\) | |||||||
\(954\) | 39.6818 | + | 6.32991i | 1.28475 | + | 0.204938i | ||||
\(955\) | −46.4134 | + | 26.7968i | −1.50190 | + | 0.867123i | ||||
\(956\) | −1.79327 | + | 1.03534i | −0.0579984 | + | 0.0334854i | ||||
\(957\) | −5.14998 | + | 64.9780i | −0.166475 | + | 2.10044i | ||||
\(958\) | 9.86225 | − | 5.69398i | 0.318635 | − | 0.183964i | ||||
\(959\) | 11.0417 | − | 43.7964i | 0.356556 | − | 1.41426i | ||||
\(960\) | −26.8967 | − | 18.5074i | −0.868087 | − | 0.597325i | ||||
\(961\) | 25.4134 | 0.819788 | ||||||||
\(962\) | 15.7005 | + | 1.61181i | 0.506205 | + | 0.0519669i | ||||
\(963\) | −3.38958 | + | 21.2491i | −0.109228 | + | 0.684742i | ||||
\(964\) | −3.67692 | − | 2.12287i | −0.118426 | − | 0.0683731i | ||||
\(965\) | −9.54129 | + | 16.5260i | −0.307145 | + | 0.531991i | ||||
\(966\) | 4.06026 | + | 4.61875i | 0.130637 | + | 0.148606i | ||||
\(967\) | −44.0147 | −1.41542 | −0.707709 | − | 0.706504i | \(-0.750271\pi\) | ||||
−0.707709 | + | 0.706504i | \(0.750271\pi\) | |||||||
\(968\) | 45.2349 | − | 26.1164i | 1.45391 | − | 0.839413i | ||||
\(969\) | −13.0493 | − | 27.3974i | −0.419205 | − | 0.880132i | ||||
\(970\) | 36.1591 | 1.16100 | ||||||||
\(971\) | −1.59883 | − | 2.76926i | −0.0513090 | − | 0.0888698i | 0.839230 | − | 0.543776i | \(-0.183006\pi\) |
−0.890539 | + | 0.454907i | \(0.849673\pi\) | |||||||
\(972\) | 2.14245 | + | 2.80811i | 0.0687192 | + | 0.0900703i | ||||
\(973\) | −0.903941 | + | 3.58543i | −0.0289790 | + | 0.114944i | ||||
\(974\) | 31.9709i | 1.02441i | ||||||||
\(975\) | 5.16200 | + | 14.4910i | 0.165316 | + | 0.464084i | ||||
\(976\) | − | 8.26439i | − | 0.264537i | ||||||
\(977\) | 43.7474 | + | 25.2576i | 1.39960 | + | 0.808061i | 0.994351 | − | 0.106144i | \(-0.0338503\pi\) |
0.405252 | + | 0.914205i | \(0.367184\pi\) | |||||||
\(978\) | 7.58724 | − | 11.0265i | 0.242613 | − | 0.352587i | ||||
\(979\) | −48.8413 | + | 28.1985i | −1.56098 | + | 0.901229i | ||||
\(980\) | −3.68659 | + | 2.27684i | −0.117764 | + | 0.0727311i | ||||
\(981\) | −5.34433 | − | 13.9685i | −0.170631 | − | 0.445981i | ||||
\(982\) | −2.36416 | − | 4.09484i | −0.0754433 | − | 0.130672i | ||||
\(983\) | −23.2037 | −0.740083 | −0.370041 | − | 0.929015i | \(-0.620657\pi\) | ||||
−0.370041 | + | 0.929015i | \(0.620657\pi\) | |||||||
\(984\) | −4.42474 | − | 9.28986i | −0.141056 | − | 0.296150i | ||||
\(985\) | 51.1780 | + | 29.5476i | 1.63067 | + | 0.941466i | ||||
\(986\) | −15.8768 | + | 27.4994i | −0.505619 | + | 0.875758i | ||||
\(987\) | 4.66246 | − | 0.933187i | 0.148408 | − | 0.0297037i | ||||
\(988\) | −1.86708 | − | 4.16638i | −0.0593997 | − | 0.132550i | ||||
\(989\) | − | 1.63805i | − | 0.0520871i | ||||||
\(990\) | −42.7276 | + | 52.6453i | −1.35797 | + | 1.67318i | ||||
\(991\) | −2.83645 | + | 4.91288i | −0.0901029 | + | 0.156063i | −0.907554 | − | 0.419935i | \(-0.862053\pi\) |
0.817451 | + | 0.575998i | \(0.195386\pi\) | |||||||
\(992\) | 1.50773 | + | 2.61147i | 0.0478705 | + | 0.0829142i | ||||
\(993\) | −3.94396 | + | 49.7615i | −0.125158 | + | 1.57913i | ||||
\(994\) | 10.1963 | − | 10.5033i | 0.323407 | − | 0.333145i | ||||
\(995\) | 34.3873 | − | 19.8535i | 1.09015 | − | 0.629399i | ||||
\(996\) | 0.200998 | − | 2.53603i | 0.00636887 | − | 0.0803570i | ||||
\(997\) | −2.89159 | + | 1.66946i | −0.0915777 | + | 0.0528724i | −0.545089 | − | 0.838378i | \(-0.683504\pi\) |
0.453512 | + | 0.891250i | \(0.350171\pi\) | |||||||
\(998\) | 2.12129 | + | 1.22473i | 0.0671483 | + | 0.0387681i | ||||
\(999\) | 11.0398 | + | 10.5112i | 0.349283 | + | 0.332558i |
(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 | 273.2.bn.c.230.23 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bn.c.230.9 | yes | 64 | |
7.6 | odd | 2 | inner | 273.2.bn.c.230.24 | yes | 64 | |
13.3 | even | 3 | inner | 273.2.bn.c.146.10 | yes | 64 | |
21.20 | even | 2 | inner | 273.2.bn.c.230.10 | yes | 64 | |
39.29 | odd | 6 | inner | 273.2.bn.c.146.24 | yes | 64 | |
91.55 | odd | 6 | inner | 273.2.bn.c.146.9 | ✓ | 64 | |
273.146 | even | 6 | inner | 273.2.bn.c.146.23 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bn.c.146.9 | ✓ | 64 | 91.55 | odd | 6 | inner | |
273.2.bn.c.146.10 | yes | 64 | 13.3 | even | 3 | inner | |
273.2.bn.c.146.23 | yes | 64 | 273.146 | even | 6 | inner | |
273.2.bn.c.146.24 | yes | 64 | 39.29 | odd | 6 | inner | |
273.2.bn.c.230.9 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bn.c.230.10 | yes | 64 | 21.20 | even | 2 | inner | |
273.2.bn.c.230.23 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bn.c.230.24 | yes | 64 | 7.6 | odd | 2 | inner |