Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + 12 x^{7} + 12 x^{6} - 72 x^{5} + 192 x^{4} - 288 x^{3} + 384 x^{2} - 384 x + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.5 | ||
Root | \(1.16486 + 0.801943i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.2.f.a.31.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.112075 | − | 1.40977i | 0.0792492 | − | 0.996855i | ||||
\(3\) | −0.305055 | + | 0.528371i | −0.176124 | + | 0.305055i | −0.940550 | − | 0.339657i | \(-0.889689\pi\) |
0.764426 | + | 0.644712i | \(0.223023\pi\) | |||||||
\(4\) | −1.97488 | − | 0.316000i | −0.987439 | − | 0.158000i | ||||
\(5\) | 1.59295 | − | 2.75907i | 0.712389 | − | 1.23389i | −0.251569 | − | 0.967839i | \(-0.580946\pi\) |
0.963958 | − | 0.266055i | \(-0.0857203\pi\) | |||||||
\(6\) | 0.710690 | + | 0.489273i | 0.290138 | + | 0.199745i | ||||
\(7\) | − | 2.36291i | − | 0.893097i | −0.894759 | − | 0.446548i | \(-0.852653\pi\) | ||
0.894759 | − | 0.446548i | \(-0.147347\pi\) | |||||||
\(8\) | −0.666820 | + | 2.74870i | −0.235757 | + | 0.971812i | ||||
\(9\) | 1.31388 | + | 2.27571i | 0.437961 | + | 0.758571i | ||||
\(10\) | −3.71111 | − | 2.55491i | −1.17356 | − | 0.807934i | ||||
\(11\) | 5.46750i | 1.64851i | 0.566216 | + | 0.824257i | \(0.308407\pi\) | ||||
−0.566216 | + | 0.824257i | \(0.691593\pi\) | |||||||
\(12\) | 0.769412 | − | 0.947071i | 0.222110 | − | 0.273396i | ||||
\(13\) | −2.31924 | + | 1.33901i | −0.643241 | + | 0.371375i | −0.785862 | − | 0.618402i | \(-0.787780\pi\) |
0.142621 | + | 0.989777i | \(0.454447\pi\) | |||||||
\(14\) | −3.33115 | − | 0.264824i | −0.890288 | − | 0.0707772i | ||||
\(15\) | 0.971875 | + | 1.68334i | 0.250937 | + | 0.434636i | ||||
\(16\) | 3.80029 | + | 1.24812i | 0.950072 | + | 0.312030i | ||||
\(17\) | −0.552780 | + | 0.957443i | −0.134069 | + | 0.232214i | −0.925241 | − | 0.379379i | \(-0.876138\pi\) |
0.791173 | + | 0.611593i | \(0.209471\pi\) | |||||||
\(18\) | 3.35547 | − | 1.59722i | 0.790893 | − | 0.376467i | ||||
\(19\) | 1.37952 | − | 4.13484i | 0.316484 | − | 0.948598i | ||||
\(20\) | −4.01775 | + | 4.94546i | −0.898396 | + | 1.10584i | ||||
\(21\) | 1.24849 | + | 0.720818i | 0.272444 | + | 0.157295i | ||||
\(22\) | 7.70790 | + | 0.612772i | 1.64333 | + | 0.130643i | ||||
\(23\) | 2.46168 | − | 1.42125i | 0.513296 | − | 0.296352i | −0.220891 | − | 0.975298i | \(-0.570897\pi\) |
0.734187 | + | 0.678947i | \(0.237563\pi\) | |||||||
\(24\) | −1.24892 | − | 1.19083i | −0.254934 | − | 0.243078i | ||||
\(25\) | −2.57499 | − | 4.46001i | −0.514997 | − | 0.892001i | ||||
\(26\) | 1.62777 | + | 3.41965i | 0.319231 | + | 0.670649i | ||||
\(27\) | −3.43356 | −0.660788 | ||||||||
\(28\) | −0.746679 | + | 4.66646i | −0.141109 | + | 0.881879i | ||||
\(29\) | −5.63736 | + | 3.25473i | −1.04683 | + | 0.604389i | −0.921761 | − | 0.387759i | \(-0.873249\pi\) |
−0.125071 | + | 0.992148i | \(0.539916\pi\) | |||||||
\(30\) | 2.48203 | − | 1.18146i | 0.453155 | − | 0.215703i | ||||
\(31\) | 1.01504 | 0.182306 | 0.0911531 | − | 0.995837i | \(-0.470945\pi\) | ||||
0.0911531 | + | 0.995837i | \(0.470945\pi\) | |||||||
\(32\) | 2.18548 | − | 5.21763i | 0.386341 | − | 0.922356i | ||||
\(33\) | −2.88887 | − | 1.66789i | −0.502887 | − | 0.290342i | ||||
\(34\) | 1.28782 | + | 0.886596i | 0.220859 | + | 0.152050i | ||||
\(35\) | −6.51945 | − | 3.76400i | −1.10199 | − | 0.636233i | ||||
\(36\) | −1.87563 | − | 4.90944i | −0.312606 | − | 0.818240i | ||||
\(37\) | 0.450315i | 0.0740314i | 0.999315 | + | 0.0370157i | \(0.0117851\pi\) | ||||
−0.999315 | + | 0.0370157i | \(0.988215\pi\) | |||||||
\(38\) | −5.67455 | − | 2.40822i | −0.920533 | − | 0.390664i | ||||
\(39\) | − | 1.63389i | − | 0.261632i | ||||||
\(40\) | 6.52165 | + | 6.21835i | 1.03116 | + | 0.983207i | ||||
\(41\) | 0.336089 | + | 0.194041i | 0.0524882 | + | 0.0303041i | 0.526014 | − | 0.850476i | \(-0.323686\pi\) |
−0.473526 | + | 0.880780i | \(0.657019\pi\) | |||||||
\(42\) | 1.15611 | − | 1.67930i | 0.178392 | − | 0.259121i | ||||
\(43\) | −4.96197 | − | 2.86479i | −0.756693 | − | 0.436877i | 0.0714141 | − | 0.997447i | \(-0.477249\pi\) |
−0.828107 | + | 0.560570i | \(0.810582\pi\) | |||||||
\(44\) | 1.72773 | − | 10.7977i | 0.260465 | − | 1.62781i | ||||
\(45\) | 8.37180 | 1.24799 | ||||||||
\(46\) | −1.72774 | − | 3.62968i | −0.254741 | − | 0.535167i | ||||
\(47\) | 2.91563 | − | 1.68334i | 0.425288 | − | 0.245540i | −0.272049 | − | 0.962283i | \(-0.587701\pi\) |
0.697337 | + | 0.716743i | \(0.254368\pi\) | |||||||
\(48\) | −1.81877 | + | 1.62722i | −0.262517 | + | 0.234868i | ||||
\(49\) | 1.41665 | 0.202378 | ||||||||
\(50\) | −6.57616 | + | 3.13027i | −0.930009 | + | 0.442687i | ||||
\(51\) | −0.337257 | − | 0.584146i | −0.0472254 | − | 0.0817967i | ||||
\(52\) | 5.00334 | − | 1.91151i | 0.693839 | − | 0.265079i | ||||
\(53\) | −3.53036 | + | 2.03825i | −0.484932 | + | 0.279976i | −0.722470 | − | 0.691403i | \(-0.756993\pi\) |
0.237537 | + | 0.971378i | \(0.423660\pi\) | |||||||
\(54\) | −0.384817 | + | 4.84051i | −0.0523669 | + | 0.658710i | ||||
\(55\) | 15.0852 | + | 8.70946i | 2.03409 | + | 1.17438i | ||||
\(56\) | 6.49494 | + | 1.57564i | 0.867922 | + | 0.210553i | ||||
\(57\) | 1.76390 | + | 1.99025i | 0.233634 | + | 0.263616i | ||||
\(58\) | 3.95660 | + | 8.31213i | 0.519527 | + | 1.09144i | ||||
\(59\) | −6.82450 | + | 11.8204i | −0.888474 | + | 1.53888i | −0.0467951 | + | 0.998905i | \(0.514901\pi\) |
−0.841679 | + | 0.539978i | \(0.818433\pi\) | |||||||
\(60\) | −1.38740 | − | 3.63150i | −0.179113 | − | 0.468825i | ||||
\(61\) | −6.77885 | − | 11.7413i | −0.867943 | − | 1.50332i | −0.864095 | − | 0.503329i | \(-0.832108\pi\) |
−0.00384839 | − | 0.999993i | \(-0.501225\pi\) | |||||||
\(62\) | 0.113761 | − | 1.43097i | 0.0144476 | − | 0.181733i | ||||
\(63\) | 5.37731 | − | 3.10459i | 0.677477 | − | 0.391142i | ||||
\(64\) | −7.11070 | − | 3.66578i | −0.888838 | − | 0.458222i | ||||
\(65\) | 8.53193i | 1.05826i | ||||||||
\(66\) | −2.67510 | + | 3.88570i | −0.329282 | + | 0.478296i | ||||
\(67\) | −4.27064 | − | 7.39696i | −0.521742 | − | 0.903683i | −0.999680 | − | 0.0252897i | \(-0.991949\pi\) |
0.477939 | − | 0.878393i | \(-0.341384\pi\) | |||||||
\(68\) | 1.39422 | − | 1.71616i | 0.169075 | − | 0.208114i | ||||
\(69\) | 1.73424i | 0.208778i | ||||||||
\(70\) | −6.03703 | + | 8.76904i | −0.721563 | + | 1.04810i | ||||
\(71\) | 1.07447 | − | 1.86103i | 0.127516 | − | 0.220864i | −0.795198 | − | 0.606350i | \(-0.792633\pi\) |
0.922714 | + | 0.385486i | \(0.125966\pi\) | |||||||
\(72\) | −7.13137 | + | 2.09398i | −0.840440 | + | 0.246778i | ||||
\(73\) | 3.91944 | − | 6.78867i | 0.458736 | − | 0.794554i | −0.540158 | − | 0.841563i | \(-0.681636\pi\) |
0.998894 | + | 0.0470092i | \(0.0149690\pi\) | |||||||
\(74\) | 0.634839 | + | 0.0504692i | 0.0737985 | + | 0.00586692i | ||||
\(75\) | 3.14205 | 0.362813 | ||||||||
\(76\) | −4.03100 | + | 7.72988i | −0.462387 | + | 0.886678i | ||||
\(77\) | 12.9192 | 1.47228 | ||||||||
\(78\) | −2.30340 | − | 0.183119i | −0.260809 | − | 0.0207341i | ||||
\(79\) | −5.57208 | + | 9.65112i | −0.626908 | + | 1.08584i | 0.361261 | + | 0.932465i | \(0.382346\pi\) |
−0.988169 | + | 0.153371i | \(0.950987\pi\) | |||||||
\(80\) | 9.49733 | − | 8.49707i | 1.06183 | − | 0.950002i | ||||
\(81\) | −2.89422 | + | 5.01294i | −0.321581 | + | 0.556994i | ||||
\(82\) | 0.311219 | − | 0.452059i | 0.0343684 | − | 0.0499216i | ||||
\(83\) | 4.14868i | 0.455376i | 0.973734 | + | 0.227688i | \(0.0731167\pi\) | ||||
−0.973734 | + | 0.227688i | \(0.926883\pi\) | |||||||
\(84\) | −2.23785 | − | 1.81805i | −0.244169 | − | 0.198366i | ||||
\(85\) | 1.76110 | + | 3.05032i | 0.191018 | + | 0.330854i | ||||
\(86\) | −4.59480 | + | 6.67414i | −0.495470 | + | 0.719691i | ||||
\(87\) | − | 3.97149i | − | 0.425788i | ||||||
\(88\) | −15.0285 | − | 3.64584i | −1.60205 | − | 0.388648i | ||||
\(89\) | 4.19126 | − | 2.41982i | 0.444272 | − | 0.256501i | −0.261136 | − | 0.965302i | \(-0.584097\pi\) |
0.705408 | + | 0.708801i | \(0.250764\pi\) | |||||||
\(90\) | 0.938272 | − | 11.8023i | 0.0989025 | − | 1.24407i | ||||
\(91\) | 3.16397 | + | 5.48016i | 0.331674 | + | 0.574477i | ||||
\(92\) | −5.31064 | + | 2.02891i | −0.553672 | + | 0.211528i | ||||
\(93\) | −0.309642 | + | 0.536316i | −0.0321084 | + | 0.0556134i | ||||
\(94\) | −2.04634 | − | 4.29901i | −0.211064 | − | 0.443409i | ||||
\(95\) | −9.21082 | − | 10.3928i | −0.945010 | − | 1.06628i | ||||
\(96\) | 2.09015 | + | 2.74641i | 0.213325 | + | 0.280304i | ||||
\(97\) | −0.641491 | − | 0.370365i | −0.0651335 | − | 0.0376048i | 0.467080 | − | 0.884215i | \(-0.345306\pi\) |
−0.532213 | + | 0.846610i | \(0.678639\pi\) | |||||||
\(98\) | 0.158771 | − | 1.99714i | 0.0160383 | − | 0.201741i | ||||
\(99\) | −12.4425 | + | 7.18366i | −1.25051 | + | 0.721985i | ||||
\(100\) | 3.67592 | + | 9.62166i | 0.367592 | + | 0.962166i | ||||
\(101\) | 2.69851 | + | 4.67396i | 0.268512 | + | 0.465076i | 0.968478 | − | 0.249100i | \(-0.0801348\pi\) |
−0.699966 | + | 0.714176i | \(0.746801\pi\) | |||||||
\(102\) | −0.861307 | + | 0.409985i | −0.0852821 | + | 0.0405945i | ||||
\(103\) | 7.54816 | 0.743743 | 0.371871 | − | 0.928284i | \(-0.378716\pi\) | ||||
0.371871 | + | 0.928284i | \(0.378716\pi\) | |||||||
\(104\) | −2.13403 | − | 7.26777i | −0.209259 | − | 0.712664i | ||||
\(105\) | 3.97758 | − | 2.29646i | 0.388172 | − | 0.224111i | ||||
\(106\) | 2.47779 | + | 5.20542i | 0.240665 | + | 0.505595i | ||||
\(107\) | 18.4008 | 1.77887 | 0.889437 | − | 0.457058i | \(-0.151097\pi\) | ||||
0.889437 | + | 0.457058i | \(0.151097\pi\) | |||||||
\(108\) | 6.78086 | + | 1.08500i | 0.652488 | + | 0.104404i | ||||
\(109\) | 4.23847 | + | 2.44708i | 0.405971 | + | 0.234388i | 0.689057 | − | 0.724707i | \(-0.258025\pi\) |
−0.283086 | + | 0.959095i | \(0.591358\pi\) | |||||||
\(110\) | 13.9690 | − | 20.2905i | 1.33189 | − | 1.93463i | ||||
\(111\) | −0.237933 | − | 0.137371i | −0.0225836 | − | 0.0130387i | ||||
\(112\) | 2.94920 | − | 8.97975i | 0.278673 | − | 0.848506i | ||||
\(113\) | − | 17.8362i | − | 1.67789i | −0.544220 | − | 0.838943i | \(-0.683174\pi\) | ||
0.544220 | − | 0.838943i | \(-0.316826\pi\) | |||||||
\(114\) | 3.00348 | − | 2.26363i | 0.281302 | − | 0.212008i | ||||
\(115\) | − | 9.05594i | − | 0.844471i | ||||||
\(116\) | 12.1616 | − | 4.64630i | 1.12918 | − | 0.431398i | ||||
\(117\) | −6.09442 | − | 3.51861i | −0.563429 | − | 0.325296i | ||||
\(118\) | 15.8991 | + | 10.9457i | 1.46363 | + | 1.00764i | ||||
\(119\) | 2.26235 | + | 1.30617i | 0.207390 | + | 0.119736i | ||||
\(120\) | −5.27506 | + | 1.54891i | −0.481545 | + | 0.141395i | ||||
\(121\) | −18.8936 | −1.71760 | ||||||||
\(122\) | −17.3122 | + | 8.24068i | −1.56738 | + | 0.746076i | ||||
\(123\) | −0.205051 | + | 0.118386i | −0.0184888 | + | 0.0106745i | ||||
\(124\) | −2.00458 | − | 0.320752i | −0.180016 | − | 0.0288043i | ||||
\(125\) | −0.477794 | −0.0427352 | ||||||||
\(126\) | −3.77408 | − | 7.92869i | −0.336222 | − | 0.706344i | ||||
\(127\) | −4.84855 | − | 8.39793i | −0.430239 | − | 0.745196i | 0.566655 | − | 0.823955i | \(-0.308237\pi\) |
−0.996894 | + | 0.0787596i | \(0.974904\pi\) | |||||||
\(128\) | −5.96482 | + | 9.61358i | −0.527221 | + | 0.849728i | ||||
\(129\) | 3.02735 | − | 1.74784i | 0.266543 | − | 0.153889i | ||||
\(130\) | 12.0280 | + | 0.956218i | 1.05493 | + | 0.0838659i | ||||
\(131\) | −6.81626 | − | 3.93537i | −0.595539 | − | 0.343835i | 0.171745 | − | 0.985141i | \(-0.445059\pi\) |
−0.767285 | + | 0.641307i | \(0.778393\pi\) | |||||||
\(132\) | 5.17811 | + | 4.20676i | 0.450697 | + | 0.366151i | ||||
\(133\) | −9.77027 | − | 3.25969i | −0.847190 | − | 0.282651i | ||||
\(134\) | −10.9066 | + | 5.19158i | −0.942188 | + | 0.448485i | ||||
\(135\) | −5.46949 | + | 9.47343i | −0.470739 | + | 0.815343i | ||||
\(136\) | −2.26312 | − | 2.15787i | −0.194061 | − | 0.185036i | ||||
\(137\) | 5.32438 | + | 9.22210i | 0.454893 | + | 0.787897i | 0.998682 | − | 0.0513247i | \(-0.0163443\pi\) |
−0.543790 | + | 0.839222i | \(0.683011\pi\) | |||||||
\(138\) | 2.44487 | + | 0.194365i | 0.208121 | + | 0.0165455i | ||||
\(139\) | 3.86571 | − | 2.23187i | 0.327885 | − | 0.189305i | −0.327017 | − | 0.945019i | \(-0.606043\pi\) |
0.654902 | + | 0.755714i | \(0.272710\pi\) | |||||||
\(140\) | 11.6857 | + | 9.49359i | 0.987621 | + | 0.802355i | ||||
\(141\) | 2.05404i | 0.172982i | ||||||||
\(142\) | −2.50320 | − | 1.72332i | −0.210064 | − | 0.144618i | ||||
\(143\) | −7.32106 | − | 12.6804i | −0.612218 | − | 1.06039i | ||||
\(144\) | 2.15277 | + | 10.2882i | 0.179397 | + | 0.857354i | ||||
\(145\) | 20.7385i | 1.72224i | ||||||||
\(146\) | −9.13117 | − | 6.28634i | −0.755701 | − | 0.520261i | ||||
\(147\) | −0.432155 | + | 0.748514i | −0.0356435 | + | 0.0617364i | ||||
\(148\) | 0.142299 | − | 0.889318i | 0.0116969 | − | 0.0731015i | ||||
\(149\) | −4.00960 | + | 6.94483i | −0.328479 | + | 0.568942i | −0.982210 | − | 0.187785i | \(-0.939869\pi\) |
0.653731 | + | 0.756727i | \(0.273203\pi\) | |||||||
\(150\) | 0.352146 | − | 4.42955i | 0.0287526 | − | 0.361672i | ||||
\(151\) | −5.53975 | −0.450818 | −0.225409 | − | 0.974264i | \(-0.572372\pi\) | ||||
−0.225409 | + | 0.974264i | \(0.572372\pi\) | |||||||
\(152\) | 10.4455 | + | 6.54909i | 0.847246 | + | 0.531201i | ||||
\(153\) | −2.90515 | −0.234868 | ||||||||
\(154\) | 1.44793 | − | 18.2131i | 0.116677 | − | 1.46765i | ||||
\(155\) | 1.61691 | − | 2.80056i | 0.129873 | − | 0.224947i | ||||
\(156\) | −0.516309 | + | 3.22674i | −0.0413378 | + | 0.258346i | ||||
\(157\) | 1.42480 | − | 2.46782i | 0.113711 | − | 0.196954i | −0.803553 | − | 0.595234i | \(-0.797059\pi\) |
0.917264 | + | 0.398280i | \(0.130393\pi\) | |||||||
\(158\) | 12.9813 | + | 8.93698i | 1.03274 | + | 0.710988i | ||||
\(159\) | − | 2.48712i | − | 0.197241i | ||||||
\(160\) | −10.9145 | − | 14.3413i | −0.862864 | − | 1.13378i | ||||
\(161\) | −3.35829 | − | 5.81674i | −0.264671 | − | 0.458423i | ||||
\(162\) | 6.74271 | + | 4.64201i | 0.529757 | + | 0.364710i | ||||
\(163\) | 8.60401i | 0.673918i | 0.941519 | + | 0.336959i | \(0.109398\pi\) | ||||
−0.941519 | + | 0.336959i | \(0.890602\pi\) | |||||||
\(164\) | −0.602417 | − | 0.489411i | −0.0470409 | − | 0.0382166i | ||||
\(165\) | −9.20365 | + | 5.31373i | −0.716503 | + | 0.413673i | ||||
\(166\) | 5.84866 | + | 0.464964i | 0.453944 | + | 0.0360882i | ||||
\(167\) | 9.00563 | + | 15.5982i | 0.696877 | + | 1.20703i | 0.969544 | + | 0.244918i | \(0.0787610\pi\) |
−0.272667 | + | 0.962108i | \(0.587906\pi\) | |||||||
\(168\) | −2.81383 | + | 2.95108i | −0.217092 | + | 0.227681i | ||||
\(169\) | −2.91409 | + | 5.04735i | −0.224161 | + | 0.388257i | ||||
\(170\) | 4.49761 | − | 2.14088i | 0.344951 | − | 0.164198i | ||||
\(171\) | 11.2222 | − | 2.29330i | 0.858186 | − | 0.175373i | ||||
\(172\) | 8.89401 | + | 7.22560i | 0.678162 | + | 0.550947i | ||||
\(173\) | −15.3081 | − | 8.83813i | −1.16385 | − | 0.671951i | −0.211629 | − | 0.977350i | \(-0.567877\pi\) |
−0.952224 | + | 0.305399i | \(0.901210\pi\) | |||||||
\(174\) | −5.59887 | − | 0.445106i | −0.424449 | − | 0.0337434i | ||||
\(175\) | −10.5386 | + | 6.08447i | −0.796644 | + | 0.459942i | ||||
\(176\) | −6.82411 | + | 20.7781i | −0.514386 | + | 1.56621i | ||||
\(177\) | −4.16370 | − | 7.21173i | −0.312963 | − | 0.542067i | ||||
\(178\) | −2.94165 | − | 6.17989i | −0.220486 | − | 0.463203i | ||||
\(179\) | 14.9607 | 1.11822 | 0.559108 | − | 0.829095i | \(-0.311144\pi\) | ||||
0.559108 | + | 0.829095i | \(0.311144\pi\) | |||||||
\(180\) | −16.5333 | − | 2.64549i | −1.23232 | − | 0.197183i | ||||
\(181\) | 15.1591 | − | 8.75213i | 1.12677 | − | 0.650541i | 0.183649 | − | 0.982992i | \(-0.441209\pi\) |
0.943121 | + | 0.332451i | \(0.107876\pi\) | |||||||
\(182\) | 8.08034 | − | 3.84627i | 0.598955 | − | 0.285104i | ||||
\(183\) | 8.27169 | 0.611461 | ||||||||
\(184\) | 2.26510 | + | 7.71414i | 0.166985 | + | 0.568694i | ||||
\(185\) | 1.24245 | + | 0.717330i | 0.0913469 | + | 0.0527392i | ||||
\(186\) | 0.721377 | + | 0.496631i | 0.0528939 | + | 0.0364148i | ||||
\(187\) | −5.23482 | − | 3.02233i | −0.382808 | − | 0.221014i | ||||
\(188\) | −6.28994 | + | 2.40305i | −0.458741 | + | 0.175260i | ||||
\(189\) | 8.11319i | 0.590148i | ||||||||
\(190\) | −15.6837 | + | 11.8203i | −1.13782 | + | 0.857536i | ||||
\(191\) | − | 18.6529i | − | 1.34967i | −0.737967 | − | 0.674837i | \(-0.764214\pi\) | ||
0.737967 | − | 0.674837i | \(-0.235786\pi\) | |||||||
\(192\) | 4.10605 | − | 2.63882i | 0.296328 | − | 0.190441i | ||||
\(193\) | −6.44722 | − | 3.72230i | −0.464081 | − | 0.267937i | 0.249678 | − | 0.968329i | \(-0.419675\pi\) |
−0.713759 | + | 0.700392i | \(0.753009\pi\) | |||||||
\(194\) | −0.594023 | + | 0.862843i | −0.0426483 | + | 0.0619485i | ||||
\(195\) | −4.50802 | − | 2.60271i | −0.322826 | − | 0.186384i | ||||
\(196\) | −2.79770 | − | 0.447660i | −0.199836 | − | 0.0319757i | ||||
\(197\) | 14.1748 | 1.00991 | 0.504955 | − | 0.863146i | \(-0.331509\pi\) | ||||
0.504955 | + | 0.863146i | \(0.331509\pi\) | |||||||
\(198\) | 8.73278 | + | 18.3461i | 0.620612 | + | 1.30380i | ||||
\(199\) | −5.81457 | + | 3.35704i | −0.412184 | + | 0.237974i | −0.691728 | − | 0.722159i | \(-0.743150\pi\) |
0.279544 | + | 0.960133i | \(0.409817\pi\) | |||||||
\(200\) | 13.9763 | − | 4.10384i | 0.988272 | − | 0.290185i | ||||
\(201\) | 5.21112 | 0.367564 | ||||||||
\(202\) | 6.89162 | − | 3.28043i | 0.484893 | − | 0.230810i | ||||
\(203\) | 7.69065 | + | 13.3206i | 0.539778 | + | 0.934922i | ||||
\(204\) | 0.481451 | + | 1.26019i | 0.0337083 | + | 0.0882309i | ||||
\(205\) | 1.07075 | − | 0.618195i | 0.0747841 | − | 0.0431766i | ||||
\(206\) | 0.845962 | − | 10.6411i | 0.0589410 | − | 0.741403i | ||||
\(207\) | 6.46872 | + | 3.73472i | 0.449607 | + | 0.259581i | ||||
\(208\) | −10.4850 | + | 2.19394i | −0.727006 | + | 0.152123i | ||||
\(209\) | 22.6073 | + | 7.54254i | 1.56378 | + | 0.521728i | ||||
\(210\) | −2.79168 | − | 5.86483i | −0.192644 | − | 0.404712i | ||||
\(211\) | 3.81983 | − | 6.61614i | 0.262968 | − | 0.455474i | −0.704061 | − | 0.710139i | \(-0.748632\pi\) |
0.967029 | + | 0.254665i | \(0.0819653\pi\) | |||||||
\(212\) | 7.61612 | − | 2.90971i | 0.523077 | − | 0.199840i | ||||
\(213\) | 0.655543 | + | 1.13543i | 0.0449171 | + | 0.0777986i | ||||
\(214\) | 2.06228 | − | 25.9408i | 0.140974 | − | 1.77328i | ||||
\(215\) | −15.8083 | + | 9.12695i | −1.07812 | + | 0.622453i | ||||
\(216\) | 2.28957 | − | 9.43782i | 0.155785 | − | 0.642162i | ||||
\(217\) | − | 2.39845i | − | 0.162817i | ||||||
\(218\) | 3.92484 | − | 5.70099i | 0.265823 | − | 0.386120i | ||||
\(219\) | 2.39129 | + | 4.14184i | 0.161589 | + | 0.279880i | ||||
\(220\) | −27.0393 | − | 21.9671i | −1.82299 | − | 1.48102i | ||||
\(221\) | − | 2.96072i | − | 0.199160i | ||||||
\(222\) | −0.220327 | + | 0.320034i | −0.0147874 | + | 0.0214793i | ||||
\(223\) | −0.858455 | + | 1.48689i | −0.0574864 | + | 0.0995693i | −0.893336 | − | 0.449388i | \(-0.851642\pi\) |
0.835850 | + | 0.548958i | \(0.184975\pi\) | |||||||
\(224\) | −12.3288 | − | 5.16409i | −0.823753 | − | 0.345040i | ||||
\(225\) | 6.76646 | − | 11.7199i | 0.451097 | − | 0.781323i | ||||
\(226\) | −25.1448 | − | 1.99899i | −1.67261 | − | 0.132971i | ||||
\(227\) | −17.2724 | −1.14641 | −0.573203 | − | 0.819413i | \(-0.694299\pi\) | ||||
−0.573203 | + | 0.819413i | \(0.694299\pi\) | |||||||
\(228\) | −2.85457 | − | 4.48790i | −0.189048 | − | 0.297218i | ||||
\(229\) | 16.7940 | 1.10978 | 0.554891 | − | 0.831923i | \(-0.312760\pi\) | ||||
0.554891 | + | 0.831923i | \(0.312760\pi\) | |||||||
\(230\) | −12.7668 | − | 1.01495i | −0.841815 | − | 0.0669236i | ||||
\(231\) | −3.94108 | + | 6.82614i | −0.259304 | + | 0.449127i | ||||
\(232\) | −5.18717 | − | 17.6657i | −0.340555 | − | 1.15981i | ||||
\(233\) | −1.66348 | + | 2.88123i | −0.108978 | + | 0.188756i | −0.915357 | − | 0.402644i | \(-0.868091\pi\) |
0.806378 | + | 0.591400i | \(0.201425\pi\) | |||||||
\(234\) | −5.64345 | + | 8.19735i | −0.368924 | + | 0.535878i | ||||
\(235\) | − | 10.7259i | − | 0.699680i | ||||||
\(236\) | 17.2128 | − | 21.1873i | 1.12046 | − | 1.37917i | ||||
\(237\) | −3.39958 | − | 5.88825i | −0.220827 | − | 0.382483i | ||||
\(238\) | 2.09495 | − | 3.04300i | 0.135795 | − | 0.197248i | ||||
\(239\) | 4.83178i | 0.312542i | 0.987714 | + | 0.156271i | \(0.0499473\pi\) | ||||
−0.987714 | + | 0.156271i | \(0.950053\pi\) | |||||||
\(240\) | 1.59240 | + | 7.61019i | 0.102789 | + | 0.491235i | ||||
\(241\) | 23.1768 | − | 13.3811i | 1.49295 | − | 0.861954i | 0.492980 | − | 0.870041i | \(-0.335908\pi\) |
0.999967 | + | 0.00808705i | \(0.00257422\pi\) | |||||||
\(242\) | −2.11750 | + | 26.6355i | −0.136118 | + | 1.71220i | ||||
\(243\) | −6.91613 | − | 11.9791i | −0.443670 | − | 0.768459i | ||||
\(244\) | 9.67716 | + | 25.3298i | 0.619517 | + | 1.62157i | ||||
\(245\) | 2.25665 | − | 3.90863i | 0.144172 | − | 0.249713i | ||||
\(246\) | 0.143916 | + | 0.302342i | 0.00917573 | + | 0.0192766i | ||||
\(247\) | 2.33717 | + | 11.4369i | 0.148710 | + | 0.727712i | ||||
\(248\) | −0.676848 | + | 2.79003i | −0.0429799 | + | 0.177167i | ||||
\(249\) | −2.19204 | − | 1.26557i | −0.138915 | − | 0.0802025i | ||||
\(250\) | −0.0535489 | + | 0.673578i | −0.00338673 | + | 0.0426008i | ||||
\(251\) | 12.7393 | − | 7.35502i | 0.804096 | − | 0.464245i | −0.0408056 | − | 0.999167i | \(-0.512992\pi\) |
0.844901 | + | 0.534922i | \(0.179659\pi\) | |||||||
\(252\) | −11.6006 | + | 4.43196i | −0.730768 | + | 0.279187i | ||||
\(253\) | 7.77070 | + | 13.4592i | 0.488540 | + | 0.846176i | ||||
\(254\) | −12.3825 | + | 5.89412i | −0.776948 | + | 0.369830i | ||||
\(255\) | −2.14893 | −0.134571 | ||||||||
\(256\) | 12.8844 | + | 9.48644i | 0.805274 | + | 0.592903i | ||||
\(257\) | −8.75454 | + | 5.05443i | −0.546093 | + | 0.315287i | −0.747545 | − | 0.664212i | \(-0.768767\pi\) |
0.201452 | + | 0.979498i | \(0.435434\pi\) | |||||||
\(258\) | −2.12475 | − | 4.46374i | −0.132281 | − | 0.277900i | ||||
\(259\) | 1.06406 | 0.0661172 | ||||||||
\(260\) | 2.69609 | − | 16.8495i | 0.167204 | − | 1.04496i | ||||
\(261\) | −14.8137 | − | 8.55268i | −0.916943 | − | 0.529397i | ||||
\(262\) | −6.31188 | + | 9.16827i | −0.389949 | + | 0.566418i | ||||
\(263\) | −13.6702 | − | 7.89252i | −0.842943 | − | 0.486673i | 0.0153204 | − | 0.999883i | \(-0.495123\pi\) |
−0.858264 | + | 0.513209i | \(0.828457\pi\) | |||||||
\(264\) | 6.51088 | − | 6.82845i | 0.400717 | − | 0.420262i | ||||
\(265\) | 12.9874i | 0.797807i | ||||||||
\(266\) | −5.69040 | + | 13.4085i | −0.348901 | + | 0.822125i | ||||
\(267\) | 2.95272i | 0.180703i | ||||||||
\(268\) | 6.09655 | + | 15.9576i | 0.372406 | + | 0.974767i | ||||
\(269\) | −0.0632774 | − | 0.0365332i | −0.00385809 | − | 0.00222747i | 0.498070 | − | 0.867137i | \(-0.334042\pi\) |
−0.501928 | + | 0.864910i | \(0.667376\pi\) | |||||||
\(270\) | 12.7423 | + | 8.77243i | 0.775473 | + | 0.533873i | ||||
\(271\) | −6.48453 | − | 3.74384i | −0.393907 | − | 0.227422i | 0.289945 | − | 0.957043i | \(-0.406363\pi\) |
−0.683852 | + | 0.729621i | \(0.739696\pi\) | |||||||
\(272\) | −3.29573 | + | 2.94862i | −0.199833 | + | 0.178787i | ||||
\(273\) | −3.86074 | −0.233663 | ||||||||
\(274\) | 13.5977 | − | 6.47256i | 0.821469 | − | 0.391022i | ||||
\(275\) | 24.3851 | − | 14.0787i | 1.47048 | − | 0.848980i | ||||
\(276\) | 0.548019 | − | 3.42491i | 0.0329869 | − | 0.206156i | ||||
\(277\) | −19.0585 | −1.14511 | −0.572557 | − | 0.819865i | \(-0.694048\pi\) | ||||
−0.572557 | + | 0.819865i | \(0.694048\pi\) | |||||||
\(278\) | −2.71316 | − | 5.69988i | −0.162725 | − | 0.341856i | ||||
\(279\) | 1.33364 | + | 2.30993i | 0.0798430 | + | 0.138292i | ||||
\(280\) | 14.6934 | − | 15.4101i | 0.878099 | − | 0.920929i | ||||
\(281\) | −7.58314 | + | 4.37813i | −0.452372 | + | 0.261177i | −0.708832 | − | 0.705378i | \(-0.750777\pi\) |
0.256459 | + | 0.966555i | \(0.417444\pi\) | |||||||
\(282\) | 2.89572 | + | 0.230207i | 0.172438 | + | 0.0137086i | ||||
\(283\) | 17.9331 | + | 10.3537i | 1.06601 | + | 0.615461i | 0.927088 | − | 0.374843i | \(-0.122303\pi\) |
0.138921 | + | 0.990303i | \(0.455637\pi\) | |||||||
\(284\) | −2.71003 | + | 3.33578i | −0.160810 | + | 0.197942i | ||||
\(285\) | 8.30106 | − | 1.69635i | 0.491712 | − | 0.100483i | ||||
\(286\) | −18.6970 | + | 8.89981i | −1.10557 | + | 0.526257i | ||||
\(287\) | 0.458501 | − | 0.794148i | 0.0270645 | − | 0.0468771i | ||||
\(288\) | 14.7453 | − | 1.88184i | 0.868875 | − | 0.110889i | ||||
\(289\) | 7.88887 | + | 13.6639i | 0.464051 | + | 0.803760i | ||||
\(290\) | 29.2365 | + | 2.32427i | 1.71682 | + | 0.136486i | ||||
\(291\) | 0.391380 | − | 0.225963i | 0.0229431 | − | 0.0132462i | ||||
\(292\) | −9.88564 | + | 12.1683i | −0.578513 | + | 0.712094i | ||||
\(293\) | − | 19.7950i | − | 1.15643i | −0.815883 | − | 0.578217i | \(-0.803749\pi\) | ||
0.815883 | − | 0.578217i | \(-0.196251\pi\) | |||||||
\(294\) | 1.00680 | + | 0.693127i | 0.0587175 | + | 0.0404240i | ||||
\(295\) | 21.7422 | + | 37.6586i | 1.26588 | + | 2.19257i | ||||
\(296\) | −1.23778 | − | 0.300279i | −0.0719446 | − | 0.0174534i | ||||
\(297\) | − | 18.7730i | − | 1.08932i | ||||||
\(298\) | 9.34120 | + | 6.43093i | 0.541121 | + | 0.372534i | ||||
\(299\) | −3.80615 | + | 6.59245i | −0.220115 | + | 0.381251i | ||||
\(300\) | −6.20517 | − | 0.992887i | −0.358255 | − | 0.0573243i | ||||
\(301\) | −6.76926 | + | 11.7247i | −0.390173 | + | 0.675800i | ||||
\(302\) | −0.620868 | + | 7.80974i | −0.0357270 | + | 0.449400i | ||||
\(303\) | −3.29278 | −0.189165 | ||||||||
\(304\) | 10.4034 | − | 13.9918i | 0.596674 | − | 0.802484i | ||||
\(305\) | −43.1935 | −2.47325 | ||||||||
\(306\) | −0.325596 | + | 4.09558i | −0.0186131 | + | 0.234129i | ||||
\(307\) | −4.47582 | + | 7.75235i | −0.255449 | + | 0.442450i | −0.965017 | − | 0.262186i | \(-0.915556\pi\) |
0.709569 | + | 0.704636i | \(0.248890\pi\) | |||||||
\(308\) | −25.5139 | − | 4.08247i | −1.45379 | − | 0.232620i | ||||
\(309\) | −2.30260 | + | 3.98823i | −0.130991 | + | 0.226882i | ||||
\(310\) | −3.76692 | − | 2.59333i | −0.213947 | − | 0.147291i | ||||
\(311\) | − | 0.249429i | − | 0.0141438i | −0.999975 | − | 0.00707191i | \(-0.997749\pi\) | ||
0.999975 | − | 0.00707191i | \(-0.00225108\pi\) | |||||||
\(312\) | 4.49108 | + | 1.08951i | 0.254257 | + | 0.0616815i | ||||
\(313\) | 11.8686 | + | 20.5570i | 0.670852 | + | 1.16195i | 0.977663 | + | 0.210179i | \(0.0674046\pi\) |
−0.306811 | + | 0.951770i | \(0.599262\pi\) | |||||||
\(314\) | −3.31937 | − | 2.28521i | −0.187323 | − | 0.128962i | ||||
\(315\) | − | 19.7818i | − | 1.11458i | ||||||
\(316\) | 14.0539 | − | 17.2990i | 0.790595 | − | 0.973146i | ||||
\(317\) | −14.6359 | + | 8.45005i | −0.822035 | + | 0.474602i | −0.851118 | − | 0.524975i | \(-0.824075\pi\) |
0.0290826 | + | 0.999577i | \(0.490741\pi\) | |||||||
\(318\) | −3.50625 | − | 0.278744i | −0.196621 | − | 0.0156312i | ||||
\(319\) | −17.7953 | − | 30.8223i | −0.996343 | − | 1.72572i | ||||
\(320\) | −21.4411 | + | 13.7795i | −1.19860 | + | 0.770299i | ||||
\(321\) | −5.61326 | + | 9.72245i | −0.313302 | + | 0.542654i | ||||
\(322\) | −8.57662 | + | 4.08250i | −0.477956 | + | 0.227509i | ||||
\(323\) | 3.19630 | + | 3.60647i | 0.177847 | + | 0.200669i | ||||
\(324\) | 7.29983 | − | 8.98538i | 0.405546 | − | 0.499188i | ||||
\(325\) | 11.9440 | + | 6.89588i | 0.662535 | + | 0.382515i | ||||
\(326\) | 12.1296 | + | 0.964297i | 0.671799 | + | 0.0534075i | ||||
\(327\) | −2.58593 | + | 1.49299i | −0.143002 | + | 0.0825624i | ||||
\(328\) | −0.757471 | + | 0.794416i | −0.0418243 | + | 0.0438643i | ||||
\(329\) | −3.97758 | − | 6.88937i | −0.219291 | − | 0.379823i | ||||
\(330\) | 6.45961 | + | 13.5705i | 0.355590 | + | 0.747033i | ||||
\(331\) | −9.72419 | −0.534490 | −0.267245 | − | 0.963629i | \(-0.586113\pi\) | ||||
−0.267245 | + | 0.963629i | \(0.586113\pi\) | |||||||
\(332\) | 1.31098 | − | 8.19313i | 0.0719494 | − | 0.449656i | ||||
\(333\) | −1.02479 | + | 0.591661i | −0.0561580 | + | 0.0324228i | ||||
\(334\) | 22.9991 | − | 10.9477i | 1.25846 | − | 0.599029i | ||||
\(335\) | −27.2117 | −1.48673 | ||||||||
\(336\) | 3.84497 | + | 4.29759i | 0.209760 | + | 0.234453i | ||||
\(337\) | 8.24404 | + | 4.75970i | 0.449081 | + | 0.259277i | 0.707442 | − | 0.706771i | \(-0.249849\pi\) |
−0.258361 | + | 0.966049i | \(0.583182\pi\) | |||||||
\(338\) | 6.78898 | + | 4.67386i | 0.369272 | + | 0.254225i | ||||
\(339\) | 9.42411 | + | 5.44101i | 0.511847 | + | 0.295515i | ||||
\(340\) | −2.51406 | − | 6.58052i | −0.136344 | − | 0.356879i | ||||
\(341\) | 5.54972i | 0.300534i | ||||||||
\(342\) | −1.97529 | − | 16.0777i | −0.106811 | − | 0.869385i | ||||
\(343\) | − | 19.8878i | − | 1.07384i | ||||||
\(344\) | 11.1832 | − | 11.7287i | 0.602958 | − | 0.632367i | ||||
\(345\) | 4.78489 | + | 2.76256i | 0.257610 | + | 0.148731i | ||||
\(346\) | −14.1754 | + | 20.5903i | −0.762072 | + | 1.10694i | ||||
\(347\) | 15.9269 | + | 9.19538i | 0.854999 | + | 0.493634i | 0.862334 | − | 0.506339i | \(-0.169002\pi\) |
−0.00733524 | + | 0.999973i | \(0.502335\pi\) | |||||||
\(348\) | −1.25499 | + | 7.84321i | −0.0672745 | + | 0.420440i | ||||
\(349\) | 5.86074 | 0.313718 | 0.156859 | − | 0.987621i | \(-0.449863\pi\) | ||||
0.156859 | + | 0.987621i | \(0.449863\pi\) | |||||||
\(350\) | 7.39655 | + | 15.5389i | 0.395362 | + | 0.830588i | ||||
\(351\) | 7.96324 | − | 4.59758i | 0.425046 | − | 0.245401i | ||||
\(352\) | 28.5274 | + | 11.9491i | 1.52052 | + | 0.636889i | ||||
\(353\) | −12.9828 | −0.691006 | −0.345503 | − | 0.938418i | \(-0.612292\pi\) | ||||
−0.345503 | + | 0.938418i | \(0.612292\pi\) | |||||||
\(354\) | −10.6335 | + | 5.06158i | −0.565164 | + | 0.269020i | ||||
\(355\) | −3.42315 | − | 5.92906i | −0.181682 | − | 0.314682i | ||||
\(356\) | −9.04189 | + | 3.45442i | −0.479219 | + | 0.183084i | ||||
\(357\) | −1.38028 | + | 0.796908i | −0.0730524 | + | 0.0421768i | ||||
\(358\) | 1.67673 | − | 21.0911i | 0.0886177 | − | 1.11470i | ||||
\(359\) | −29.5172 | − | 17.0418i | −1.55786 | − | 0.899430i | −0.997462 | − | 0.0712049i | \(-0.977316\pi\) |
−0.560396 | − | 0.828225i | \(-0.689351\pi\) | |||||||
\(360\) | −5.58249 | + | 23.0116i | −0.294223 | + | 1.21282i | ||||
\(361\) | −15.1938 | − | 11.4082i | −0.799676 | − | 0.600432i | ||||
\(362\) | −10.6395 | − | 22.3517i | −0.559199 | − | 1.17478i | ||||
\(363\) | 5.76358 | − | 9.98282i | 0.302510 | − | 0.523962i | ||||
\(364\) | −4.51673 | − | 11.8225i | −0.236741 | − | 0.619665i | ||||
\(365\) | −12.4870 | − | 21.6281i | −0.653597 | − | 1.13206i | ||||
\(366\) | 0.927052 | − | 11.6611i | 0.0484578 | − | 0.609538i | ||||
\(367\) | −11.3161 | + | 6.53337i | −0.590697 | + | 0.341039i | −0.765373 | − | 0.643587i | \(-0.777446\pi\) |
0.174676 | + | 0.984626i | \(0.444112\pi\) | |||||||
\(368\) | 11.1290 | − | 2.32869i | 0.580139 | − | 0.121391i | ||||
\(369\) | 1.01979i | 0.0530880i | ||||||||
\(370\) | 1.15052 | − | 1.67117i | 0.0598124 | − | 0.0868801i | ||||
\(371\) | 4.81621 | + | 8.34193i | 0.250045 | + | 0.433091i | ||||
\(372\) | 0.780982 | − | 0.961313i | 0.0404920 | − | 0.0498417i | ||||
\(373\) | − | 11.8954i | − | 0.615922i | −0.951399 | − | 0.307961i | \(-0.900353\pi\) | ||
0.951399 | − | 0.307961i | \(-0.0996466\pi\) | |||||||
\(374\) | −4.84746 | + | 7.04114i | −0.250656 | + | 0.364089i | ||||
\(375\) | 0.145754 | − | 0.252453i | 0.00752668 | − | 0.0130366i | ||||
\(376\) | 2.68279 | + | 9.13667i | 0.138354 | + | 0.471188i | ||||
\(377\) | 8.71626 | − | 15.0970i | 0.448910 | − | 0.777535i | ||||
\(378\) | 11.4377 | + | 0.909288i | 0.588292 | + | 0.0467687i | ||||
\(379\) | 8.93709 | 0.459068 | 0.229534 | − | 0.973301i | \(-0.426280\pi\) | ||||
0.229534 | + | 0.973301i | \(0.426280\pi\) | |||||||
\(380\) | 14.9061 | + | 23.4351i | 0.764668 | + | 1.20220i | ||||
\(381\) | 5.91630 | 0.303101 | ||||||||
\(382\) | −26.2961 | − | 2.09052i | −1.34543 | − | 0.106960i | ||||
\(383\) | 6.14400 | − | 10.6417i | 0.313944 | − | 0.543767i | −0.665269 | − | 0.746604i | \(-0.731683\pi\) |
0.979212 | + | 0.202838i | \(0.0650163\pi\) | |||||||
\(384\) | −3.25994 | − | 6.08431i | −0.166358 | − | 0.310489i | ||||
\(385\) | 20.5797 | − | 35.6451i | 1.04884 | − | 1.81664i | ||||
\(386\) | −5.97015 | + | 8.67189i | −0.303873 | + | 0.441388i | ||||
\(387\) | − | 15.0560i | − | 0.765340i | ||||||
\(388\) | 1.14983 | + | 0.934136i | 0.0583738 | + | 0.0474236i | ||||
\(389\) | −3.61961 | − | 6.26935i | −0.183522 | − | 0.317869i | 0.759556 | − | 0.650442i | \(-0.225416\pi\) |
−0.943077 | + | 0.332573i | \(0.892083\pi\) | |||||||
\(390\) | −4.17445 | + | 6.06356i | −0.211381 | + | 0.307040i | ||||
\(391\) | 3.14256i | 0.158926i | ||||||||
\(392\) | −0.944648 | + | 3.89393i | −0.0477119 | + | 0.196673i | ||||
\(393\) | 4.15867 | − | 2.40101i | 0.209777 | − | 0.121115i | ||||
\(394\) | 1.58864 | − | 19.9831i | 0.0800345 | − | 1.00673i | ||||
\(395\) | 17.7521 | + | 30.7475i | 0.893205 | + | 1.54708i | ||||
\(396\) | 26.8424 | − | 10.2550i | 1.34888 | − | 0.515335i | ||||
\(397\) | −14.7425 | + | 25.5347i | −0.739904 | + | 1.28155i | 0.212633 | + | 0.977132i | \(0.431796\pi\) |
−0.952538 | + | 0.304420i | \(0.901537\pi\) | |||||||
\(398\) | 4.08097 | + | 8.57342i | 0.204561 | + | 0.429747i | ||||
\(399\) | 4.70279 | − | 4.16794i | 0.235434 | − | 0.208658i | ||||
\(400\) | −4.21906 | − | 20.1632i | −0.210953 | − | 1.00816i | ||||
\(401\) | 3.17820 | + | 1.83494i | 0.158712 | + | 0.0916323i | 0.577252 | − | 0.816566i | \(-0.304125\pi\) |
−0.418541 | + | 0.908198i | \(0.637458\pi\) | |||||||
\(402\) | 0.584038 | − | 7.34646i | 0.0291291 | − | 0.366408i | ||||
\(403\) | −2.35412 | + | 1.35915i | −0.117267 | + | 0.0677040i | ||||
\(404\) | −3.85226 | − | 10.0832i | −0.191657 | − | 0.501659i | ||||
\(405\) | 9.22072 | + | 15.9707i | 0.458181 | + | 0.793593i | ||||
\(406\) | 19.6408 | − | 9.34910i | 0.974759 | − | 0.463988i | ||||
\(407\) | −2.46210 | −0.122042 | ||||||||
\(408\) | 1.83053 | − | 0.537497i | 0.0906248 | − | 0.0266101i | ||||
\(409\) | 0.913849 | − | 0.527611i | 0.0451869 | − | 0.0260887i | −0.477236 | − | 0.878775i | \(-0.658361\pi\) |
0.522423 | + | 0.852686i | \(0.325028\pi\) | |||||||
\(410\) | −0.751506 | − | 1.57878i | −0.0371142 | − | 0.0779706i | ||||
\(411\) | −6.49692 | −0.320469 | ||||||||
\(412\) | −14.9067 | − | 2.38522i | −0.734400 | − | 0.117511i | ||||
\(413\) | 27.9305 | + | 16.1257i | 1.37437 | + | 0.793494i | ||||
\(414\) | 5.99006 | − | 8.70081i | 0.294395 | − | 0.427622i | ||||
\(415\) | 11.4465 | + | 6.60864i | 0.561886 | + | 0.324405i | ||||
\(416\) | 1.91784 | + | 15.0273i | 0.0940296 | + | 0.736775i | ||||
\(417\) | 2.72337i | 0.133364i | ||||||||
\(418\) | 13.1669 | − | 31.0256i | 0.644015 | − | 1.51751i | ||||
\(419\) | 12.9932i | 0.634757i | 0.948299 | + | 0.317379i | \(0.102803\pi\) | ||||
−0.948299 | + | 0.317379i | \(0.897197\pi\) | |||||||
\(420\) | −8.58091 | + | 3.27831i | −0.418706 | + | 0.159965i | ||||
\(421\) | 28.8014 | + | 16.6285i | 1.40369 | + | 0.810424i | 0.994770 | − | 0.102144i | \(-0.0325704\pi\) |
0.408925 | + | 0.912568i | \(0.365904\pi\) | |||||||
\(422\) | −8.89910 | − | 6.12657i | −0.433201 | − | 0.298237i | ||||
\(423\) | 7.66158 | + | 4.42342i | 0.372519 | + | 0.215074i | ||||
\(424\) | −3.24843 | − | 11.0630i | −0.157758 | − | 0.537269i | ||||
\(425\) | 5.69360 | 0.276180 | ||||||||
\(426\) | 1.67417 | − | 0.796908i | 0.0811136 | − | 0.0386103i | ||||
\(427\) | −27.7437 | + | 16.0178i | −1.34261 | + | 0.775157i | ||||
\(428\) | −36.3394 | − | 5.81465i | −1.75653 | − | 0.281062i | ||||
\(429\) | 8.93330 | 0.431304 | ||||||||
\(430\) | 11.0951 | + | 23.3090i | 0.535055 | + | 1.12406i | ||||
\(431\) | 4.67046 | + | 8.08948i | 0.224968 | + | 0.389656i | 0.956310 | − | 0.292355i | \(-0.0944388\pi\) |
−0.731342 | + | 0.682011i | \(0.761106\pi\) | |||||||
\(432\) | −13.0485 | − | 4.28550i | −0.627796 | − | 0.206186i | ||||
\(433\) | −11.4412 | + | 6.60558i | −0.549829 | + | 0.317444i | −0.749053 | − | 0.662510i | \(-0.769491\pi\) |
0.199224 | + | 0.979954i | \(0.436158\pi\) | |||||||
\(434\) | −3.38125 | − | 0.268806i | −0.162305 | − | 0.0129031i | ||||
\(435\) | −10.9576 | − | 6.32639i | −0.525378 | − | 0.303327i | ||||
\(436\) | −7.59718 | − | 6.17204i | −0.363839 | − | 0.295587i | ||||
\(437\) | −2.48071 | − | 12.1393i | −0.118669 | − | 0.580702i | ||||
\(438\) | 6.10703 | − | 2.90696i | 0.291805 | − | 0.138900i | ||||
\(439\) | 9.90270 | − | 17.1520i | 0.472630 | − | 0.818619i | −0.526879 | − | 0.849940i | \(-0.676638\pi\) |
0.999509 | + | 0.0313210i | \(0.00997142\pi\) | |||||||
\(440\) | −33.9988 | + | 35.6571i | −1.62083 | + | 1.69989i | ||||
\(441\) | 1.86131 | + | 3.22388i | 0.0886336 | + | 0.153518i | ||||
\(442\) | −4.17392 | − | 0.331823i | −0.198533 | − | 0.0157832i | ||||
\(443\) | −8.86172 | + | 5.11632i | −0.421033 | + | 0.243084i | −0.695519 | − | 0.718508i | \(-0.744826\pi\) |
0.274486 | + | 0.961591i | \(0.411492\pi\) | |||||||
\(444\) | 0.426480 | + | 0.346478i | 0.0202399 | + | 0.0164431i | ||||
\(445\) | − | 15.4186i | − | 0.730914i | ||||||
\(446\) | 1.99995 | + | 1.37686i | 0.0947004 | + | 0.0651964i | ||||
\(447\) | −2.44630 | − | 4.23711i | −0.115706 | − | 0.200408i | ||||
\(448\) | −8.66191 | + | 16.8020i | −0.409237 | + | 0.793818i | ||||
\(449\) | 9.69618i | 0.457591i | 0.973475 | + | 0.228795i | \(0.0734787\pi\) | ||||
−0.973475 | + | 0.228795i | \(0.926521\pi\) | |||||||
\(450\) | −15.7639 | − | 10.8526i | −0.743117 | − | 0.511598i | ||||
\(451\) | −1.06092 | + | 1.83757i | −0.0499567 | + | 0.0865276i | ||||
\(452\) | −5.63622 | + | 35.2243i | −0.265106 | + | 1.65681i | ||||
\(453\) | 1.68993 | − | 2.92704i | 0.0793997 | − | 0.137524i | ||||
\(454\) | −1.93580 | + | 24.3500i | −0.0908517 | + | 1.14280i | ||||
\(455\) | 20.1602 | 0.945125 | ||||||||
\(456\) | −6.64681 | + | 3.52129i | −0.311266 | + | 0.164900i | ||||
\(457\) | −8.85003 | −0.413987 | −0.206993 | − | 0.978342i | \(-0.566368\pi\) | ||||
−0.206993 | + | 0.978342i | \(0.566368\pi\) | |||||||
\(458\) | 1.88220 | − | 23.6757i | 0.0879493 | − | 1.10629i | ||||
\(459\) | 1.89800 | − | 3.28743i | 0.0885911 | − | 0.153444i | ||||
\(460\) | −2.86167 | + | 17.8844i | −0.133426 | + | 0.833864i | ||||
\(461\) | −4.85595 | + | 8.41075i | −0.226164 | + | 0.391728i | −0.956668 | − | 0.291181i | \(-0.905952\pi\) |
0.730504 | + | 0.682909i | \(0.239285\pi\) | |||||||
\(462\) | 9.18156 | + | 6.32103i | 0.427165 | + | 0.294081i | ||||
\(463\) | 38.4094i | 1.78504i | 0.451013 | + | 0.892518i | \(0.351063\pi\) | ||||
−0.451013 | + | 0.892518i | \(0.648937\pi\) | |||||||
\(464\) | −25.4859 | + | 5.33281i | −1.18315 | + | 0.247569i | ||||
\(465\) | 0.986490 | + | 1.70865i | 0.0457474 | + | 0.0792368i | ||||
\(466\) | 3.87543 | + | 2.66803i | 0.179526 | + | 0.123594i | ||||
\(467\) | − | 21.7838i | − | 1.00803i | −0.863694 | − | 0.504016i | \(-0.831855\pi\) | ||
0.863694 | − | 0.504016i | \(-0.168145\pi\) | |||||||
\(468\) | 10.9239 | + | 8.87467i | 0.504955 | + | 0.410232i | ||||
\(469\) | −17.4784 | + | 10.0911i | −0.807076 | + | 0.465966i | ||||
\(470\) | −15.1210 | − | 1.20211i | −0.697480 | − | 0.0554491i | ||||
\(471\) | 0.869284 | + | 1.50564i | 0.0400545 | + | 0.0693764i | ||||
\(472\) | −27.9400 | − | 26.6406i | −1.28604 | − | 1.22623i | ||||
\(473\) | 15.6633 | − | 27.1296i | 0.720198 | − | 1.24742i | ||||
\(474\) | −8.68206 | + | 4.13269i | −0.398780 | + | 0.189821i | ||||
\(475\) | −21.9937 | + | 4.49448i | −1.00914 | + | 0.206221i | ||||
\(476\) | −4.05512 | − | 3.29443i | −0.185866 | − | 0.151000i | ||||
\(477\) | −9.27696 | − | 5.35605i | −0.424763 | − | 0.245237i | ||||
\(478\) | 6.81168 | + | 0.541523i | 0.311559 | + | 0.0247687i | ||||
\(479\) | 10.5544 | − | 6.09359i | 0.482243 | − | 0.278423i | −0.239108 | − | 0.970993i | \(-0.576855\pi\) |
0.721351 | + | 0.692570i | \(0.243522\pi\) | |||||||
\(480\) | 10.9070 | − | 1.39199i | 0.497836 | − | 0.0635355i | ||||
\(481\) | −0.602978 | − | 1.04439i | −0.0274934 | − | 0.0476200i | ||||
\(482\) | −16.2667 | − | 34.1735i | −0.740928 | − | 1.55656i | ||||
\(483\) | 4.09786 | 0.186459 | ||||||||
\(484\) | 37.3125 | + | 5.97036i | 1.69602 | + | 0.271380i | ||||
\(485\) | −2.04373 | + | 1.17995i | −0.0928008 | + | 0.0535786i | ||||
\(486\) | −17.6628 | + | 8.40756i | −0.801202 | + | 0.381375i | ||||
\(487\) | 27.8697 | 1.26290 | 0.631448 | − | 0.775418i | \(-0.282461\pi\) | ||||
0.631448 | + | 0.775418i | \(0.282461\pi\) | |||||||
\(488\) | 36.7936 | − | 10.8037i | 1.66557 | − | 0.489060i | ||||
\(489\) | −4.54611 | − | 2.62470i | −0.205582 | − | 0.118693i | ||||
\(490\) | −5.25733 | − | 3.61940i | −0.237502 | − | 0.163508i | ||||
\(491\) | 14.9996 | + | 8.66002i | 0.676922 | + | 0.390821i | 0.798694 | − | 0.601737i | \(-0.205524\pi\) |
−0.121772 | + | 0.992558i | \(0.538858\pi\) | |||||||
\(492\) | 0.442361 | − | 0.169002i | 0.0199432 | − | 0.00761922i | ||||
\(493\) | − | 7.19660i | − | 0.324119i | ||||||
\(494\) | 16.3853 | − | 2.01307i | 0.737208 | − | 0.0905722i | ||||
\(495\) | 45.7729i | 2.05734i | ||||||||
\(496\) | 3.85744 | + | 1.26689i | 0.173204 | + | 0.0568851i | ||||
\(497\) | −4.39745 | − | 2.53887i | −0.197253 | − | 0.113884i | ||||
\(498\) | −2.02984 | + | 2.94842i | −0.0909591 | + | 0.132122i | ||||
\(499\) | 1.00693 | + | 0.581349i | 0.0450762 | + | 0.0260248i | 0.522369 | − | 0.852720i | \(-0.325048\pi\) |
−0.477293 | + | 0.878744i | \(0.658382\pi\) | |||||||
\(500\) | 0.943586 | + | 0.150983i | 0.0421984 | + | 0.00675216i | ||||
\(501\) | −10.9889 | −0.490946 | ||||||||
\(502\) | −8.94110 | − | 18.7837i | −0.399061 | − | 0.838358i | ||||
\(503\) | −11.1928 | + | 6.46214i | −0.499060 | + | 0.288133i | −0.728325 | − | 0.685231i | \(-0.759701\pi\) |
0.229265 | + | 0.973364i | \(0.426368\pi\) | |||||||
\(504\) | 4.94789 | + | 16.8508i | 0.220396 | + | 0.750595i | ||||
\(505\) | 17.1944 | 0.765140 | ||||||||
\(506\) | 19.8453 | − | 9.44642i | 0.882231 | − | 0.419944i | ||||
\(507\) | −1.77791 | − | 3.07944i | −0.0789599 | − | 0.136763i | ||||
\(508\) | 6.92155 | + | 18.1170i | 0.307094 | + | 0.803813i | ||||
\(509\) | 25.6884 | − | 14.8312i | 1.13862 | − | 0.657381i | 0.192530 | − | 0.981291i | \(-0.438331\pi\) |
0.946088 | + | 0.323910i | \(0.104998\pi\) | |||||||
\(510\) | −0.240842 | + | 3.02949i | −0.0106647 | + | 0.134148i | ||||
\(511\) | −16.0410 | − | 9.26130i | −0.709614 | − | 0.409696i | ||||
\(512\) | 14.8177 | − | 17.1008i | 0.654855 | − | 0.755754i | ||||
\(513\) | −4.73667 | + | 14.1972i | −0.209129 | + | 0.626822i | ||||
\(514\) | 6.14440 | + | 12.9083i | 0.271018 | + | 0.569362i | ||||
\(515\) | 12.0239 | − | 20.8259i | 0.529834 | − | 0.917700i | ||||
\(516\) | −6.53096 | + | 2.49513i | −0.287509 | + | 0.109842i | ||||
\(517\) | 9.20365 | + | 15.9412i | 0.404776 | + | 0.701093i | ||||
\(518\) | 0.119254 | − | 1.50007i | 0.00523973 | − | 0.0659092i | ||||
\(519\) | 9.33962 | − | 5.39223i | 0.409964 | − | 0.236693i | ||||
\(520\) | −23.4517 | − | 5.68927i | −1.02843 | − | 0.249491i | ||||
\(521\) | 35.2430i | 1.54402i | 0.635608 | + | 0.772012i | \(0.280749\pi\) | ||||
−0.635608 | + | 0.772012i | \(0.719251\pi\) | |||||||
\(522\) | −13.7175 | + | 19.9253i | −0.600399 | + | 0.872105i | ||||
\(523\) | −11.4242 | − | 19.7872i | −0.499543 | − | 0.865234i | 0.500457 | − | 0.865762i | \(-0.333166\pi\) |
−1.00000 | 0.000527203i | \(0.999832\pi\) | ||||||||
\(524\) | 12.2177 | + | 9.92581i | 0.533733 | + | 0.433611i | ||||
\(525\) | − | 7.42439i | − | 0.324027i | ||||||
\(526\) | −12.6587 | + | 18.3873i | −0.551945 | + | 0.801724i | ||||
\(527\) | −0.561093 | + | 0.971841i | −0.0244416 | + | 0.0423341i | ||||
\(528\) | −8.89681 | − | 9.94412i | −0.387184 | − | 0.432762i | ||||
\(529\) | −7.46008 | + | 12.9212i | −0.324351 | + | 0.561793i | ||||
\(530\) | 18.3091 | + | 1.45556i | 0.795298 | + | 0.0632255i | ||||
\(531\) | −35.8664 | −1.55647 | ||||||||
\(532\) | 18.2650 | + | 9.52489i | 0.791890 | + | 0.412956i | ||||
\(533\) | −1.03929 | −0.0450168 | ||||||||
\(534\) | 4.16264 | + | 0.330927i | 0.180135 | + | 0.0143206i | ||||
\(535\) | 29.3116 | − | 50.7692i | 1.26725 | − | 2.19494i | ||||
\(536\) | 23.1798 | − | 6.80626i | 1.00121 | − | 0.293986i | ||||
\(537\) | −4.56384 | + | 7.90481i | −0.196944 | + | 0.341118i | ||||
\(538\) | −0.0585951 | + | 0.0851118i | −0.00252621 | + | 0.00366943i | ||||
\(539\) | 7.74551i | 0.333623i | ||||||||
\(540\) | 13.7952 | − | 16.9805i | 0.593650 | − | 0.730725i | ||||
\(541\) | −18.2188 | − | 31.5560i | −0.783289 | − | 1.35670i | −0.930016 | − | 0.367520i | \(-0.880207\pi\) |
0.146727 | − | 0.989177i | \(-0.453126\pi\) | |||||||
\(542\) | −6.00469 | + | 8.72207i | −0.257924 | + | 0.374645i | ||||
\(543\) | 10.6795i | 0.458302i | ||||||||
\(544\) | 3.78750 | + | 4.97667i | 0.162388 | + | 0.213373i | ||||
\(545\) | 13.5033 | − | 7.79616i | 0.578420 | − | 0.333951i | ||||
\(546\) | −0.432693 | + | 5.44274i | −0.0185176 | + | 0.232928i | ||||
\(547\) | −14.8588 | − | 25.7362i | −0.635317 | − | 1.10040i | −0.986448 | − | 0.164075i | \(-0.947536\pi\) |
0.351131 | − | 0.936326i | \(-0.385797\pi\) | |||||||
\(548\) | −7.60082 | − | 19.8950i | −0.324691 | − | 0.849873i | ||||
\(549\) | 17.8132 | − | 30.8534i | 0.760250 | − | 1.31679i | ||||
\(550\) | −17.1148 | − | 35.9551i | −0.729776 | − | 1.53313i | ||||
\(551\) | 5.68094 | + | 27.7996i | 0.242016 | + | 1.18430i | ||||
\(552\) | −4.76691 | − | 1.15643i | −0.202893 | − | 0.0492208i | ||||
\(553\) | 22.8048 | + | 13.1663i | 0.969757 | + | 0.559889i | ||||
\(554\) | −2.13598 | + | 26.8680i | −0.0907493 | + | 1.14151i | ||||
\(555\) | −0.758033 | + | 0.437650i | −0.0321767 | + | 0.0185772i | ||||
\(556\) | −8.33958 | + | 3.18611i | −0.353677 | + | 0.135121i | ||||
\(557\) | −2.98070 | − | 5.16273i | −0.126296 | − | 0.218752i | 0.795943 | − | 0.605372i | \(-0.206976\pi\) |
−0.922239 | + | 0.386620i | \(0.873642\pi\) | |||||||
\(558\) | 3.40593 | − | 1.62123i | 0.144185 | − | 0.0686323i | ||||
\(559\) | 15.3440 | 0.648982 | ||||||||
\(560\) | −20.0778 | − | 22.4414i | −0.848443 | − | 0.948321i | ||||
\(561\) | 3.19382 | − | 1.84395i | 0.134843 | − | 0.0778517i | ||||
\(562\) | 5.32225 | + | 11.1811i | 0.224506 | + | 0.471647i | ||||
\(563\) | −35.3916 | −1.49158 | −0.745789 | − | 0.666182i | \(-0.767927\pi\) | ||||
−0.745789 | + | 0.666182i | \(0.767927\pi\) | |||||||
\(564\) | 0.649077 | − | 4.05648i | 0.0273311 | − | 0.170809i | ||||
\(565\) | −49.2113 | − | 28.4121i | −2.07033 | − | 1.19531i | ||||
\(566\) | 16.6061 | − | 24.1210i | 0.698006 | − | 1.01388i | ||||
\(567\) | 11.8451 | + | 6.83880i | 0.497449 | + | 0.287203i | ||||
\(568\) | 4.39894 | + | 4.19436i | 0.184575 | + | 0.175991i | ||||
\(569\) | 30.2541i | 1.26832i | 0.773203 | + | 0.634158i | \(0.218653\pi\) | ||||
−0.773203 | + | 0.634158i | \(0.781347\pi\) | |||||||
\(570\) | −1.46111 | − | 11.8927i | −0.0611993 | − | 0.498129i | ||||
\(571\) | 25.4945i | 1.06691i | 0.845828 | + | 0.533456i | \(0.179107\pi\) | ||||
−0.845828 | + | 0.533456i | \(0.820893\pi\) | |||||||
\(572\) | 10.4512 | + | 27.3558i | 0.436986 | + | 1.14380i | ||||
\(573\) | 9.85562 | + | 5.69015i | 0.411725 | + | 0.237709i | ||||
\(574\) | −1.06818 | − | 0.735384i | −0.0445848 | − | 0.0306943i | ||||
\(575\) | −12.6776 | − | 7.31941i | −0.528692 | − | 0.305240i | ||||
\(576\) | −1.00037 | − | 20.9983i | −0.0416822 | − | 0.874930i | ||||
\(577\) | −12.0785 | −0.502836 | −0.251418 | − | 0.967879i | \(-0.580897\pi\) | ||||
−0.251418 | + | 0.967879i | \(0.580897\pi\) | |||||||
\(578\) | 20.1471 | − | 9.59007i | 0.838008 | − | 0.398894i | ||||
\(579\) | 3.93351 | − | 2.27102i | 0.163471 | − | 0.0943802i | ||||
\(580\) | 6.55336 | − | 40.9561i | 0.272114 | − | 1.70061i | ||||
\(581\) | 9.80296 | 0.406695 | ||||||||
\(582\) | −0.274691 | − | 0.577079i | −0.0113863 | − | 0.0239207i | ||||
\(583\) | −11.1442 | − | 19.3022i | −0.461544 | − | 0.799417i | ||||
\(584\) | 16.0465 | + | 15.3002i | 0.664007 | + | 0.633127i | ||||
\(585\) | −19.4162 | + | 11.2100i | −0.802762 | + | 0.463475i | ||||
\(586\) | −27.9062 | − | 2.21852i | −1.15280 | − | 0.0916464i | ||||
\(587\) | −18.8754 | − | 10.8977i | −0.779070 | − | 0.449796i | 0.0570304 | − | 0.998372i | \(-0.481837\pi\) |
−0.836101 | + | 0.548576i | \(0.815170\pi\) | |||||||
\(588\) | 1.08998 | − | 1.34166i | 0.0449502 | − | 0.0553293i | ||||
\(589\) | 1.40027 | − | 4.19702i | 0.0576970 | − | 0.172935i | ||||
\(590\) | 55.5265 | − | 26.4308i | 2.28599 | − | 1.08814i | ||||
\(591\) | −4.32408 | + | 7.48953i | −0.177869 | + | 0.308078i | ||||
\(592\) | −0.562048 | + | 1.71133i | −0.0231000 | + | 0.0703351i | ||||
\(593\) | −10.3212 | − | 17.8768i | −0.423839 | − | 0.734111i | 0.572472 | − | 0.819924i | \(-0.305984\pi\) |
−0.996311 | + | 0.0858135i | \(0.972651\pi\) | |||||||
\(594\) | −26.4655 | − | 2.10399i | −1.08589 | − | 0.0863276i | ||||
\(595\) | 7.20764 | − | 4.16133i | 0.295484 | − | 0.170598i | ||||
\(596\) | 10.1130 | − | 12.4482i | 0.414246 | − | 0.509896i | ||||
\(597\) | − | 4.09633i | − | 0.167652i | ||||||
\(598\) | 8.86723 | + | 6.10463i | 0.362608 | + | 0.249637i | ||||
\(599\) | −18.6426 | − | 32.2900i | −0.761717 | − | 1.31933i | −0.941965 | − | 0.335711i | \(-0.891023\pi\) |
0.180248 | − | 0.983621i | \(-0.442310\pi\) | |||||||
\(600\) | −2.09518 | + | 8.63655i | −0.0855355 | + | 0.352586i | ||||
\(601\) | − | 32.9087i | − | 1.34238i | −0.741287 | − | 0.671188i | \(-0.765784\pi\) | ||
0.741287 | − | 0.671188i | \(-0.234216\pi\) | |||||||
\(602\) | 15.7704 | + | 10.8571i | 0.642754 | + | 0.442503i | ||||
\(603\) | 11.2222 | − | 19.4375i | 0.457005 | − | 0.791556i | ||||
\(604\) | 10.9403 | + | 1.75056i | 0.445155 | + | 0.0712292i | ||||
\(605\) | −30.0965 | + | 52.1287i | −1.22360 | + | 2.11933i | ||||
\(606\) | −0.369039 | + | 4.64204i | −0.0149912 | + | 0.188570i | ||||
\(607\) | 43.4094 | 1.76193 | 0.880966 | − | 0.473180i | \(-0.156894\pi\) | ||||
0.880966 | + | 0.473180i | \(0.156894\pi\) | |||||||
\(608\) | −18.5592 | − | 16.2344i | −0.752674 | − | 0.658394i | ||||
\(609\) | −9.38428 | −0.380270 | ||||||||
\(610\) | −4.84092 | + | 60.8927i | −0.196003 | + | 2.46548i | ||||
\(611\) | −4.50802 | + | 7.80813i | −0.182375 | + | 0.315883i | ||||
\(612\) | 5.73732 | + | 0.918027i | 0.231918 | + | 0.0371090i | ||||
\(613\) | −23.0269 | + | 39.8838i | −0.930048 | + | 1.61089i | −0.146814 | + | 0.989164i | \(0.546902\pi\) |
−0.783234 | + | 0.621727i | \(0.786431\pi\) | |||||||
\(614\) | 10.4274 | + | 7.17871i | 0.420814 | + | 0.289709i | ||||
\(615\) | 0.754334i | 0.0304177i | ||||||||
\(616\) | −8.61480 | + | 35.5111i | −0.347100 | + | 1.43078i | ||||
\(617\) | −4.97177 | − | 8.61136i | −0.200156 | − | 0.346680i | 0.748423 | − | 0.663222i | \(-0.230812\pi\) |
−0.948579 | + | 0.316542i | \(0.897478\pi\) | |||||||
\(618\) | 5.36440 | + | 3.69311i | 0.215788 | + | 0.148559i | ||||
\(619\) | 4.75114i | 0.190964i | 0.995431 | + | 0.0954822i | \(0.0304393\pi\) | ||||
−0.995431 | + | 0.0954822i | \(0.969561\pi\) | |||||||
\(620\) | −4.07817 | + | 5.01983i | −0.163783 | + | 0.201601i | ||||
\(621\) | −8.45232 | + | 4.87995i | −0.339180 | + | 0.195826i | ||||
\(622\) | −0.351636 | − | 0.0279548i | −0.0140993 | − | 0.00112089i | ||||
\(623\) | −5.71783 | − | 9.90358i | −0.229080 | − | 0.396778i | ||||
\(624\) | 2.03929 | − | 6.20926i | 0.0816371 | − | 0.248569i | ||||
\(625\) | 12.1138 | − | 20.9818i | 0.484553 | − | 0.839270i | ||||
\(626\) | 30.3107 | − | 14.4280i | 1.21146 | − | 0.576658i | ||||
\(627\) | −10.8817 | + | 9.64413i | −0.434574 | + | 0.385149i | ||||
\(628\) | −3.59364 | + | 4.42342i | −0.143402 | + | 0.176514i | ||||
\(629\) | −0.431151 | − | 0.248925i | −0.0171911 | − | 0.00992530i | ||||
\(630\) | −27.8878 | − | 2.21705i | −1.11107 | − | 0.0883296i | ||||
\(631\) | 17.8068 | − | 10.2807i | 0.708876 | − | 0.409270i | −0.101769 | − | 0.994808i | \(-0.532450\pi\) |
0.810645 | + | 0.585538i | \(0.199117\pi\) | |||||||
\(632\) | −22.8125 | − | 21.7515i | −0.907431 | − | 0.865230i | ||||
\(633\) | 2.33052 | + | 4.03657i | 0.0926297 | + | 0.160439i | ||||
\(634\) | 10.2723 | + | 21.5803i | 0.407964 | + | 0.857062i | ||||
\(635\) | −30.8940 | −1.22599 | ||||||||
\(636\) | −0.785929 | + | 4.91176i | −0.0311641 | + | 0.194764i | ||||
\(637\) | −3.28554 | + | 1.89691i | −0.130178 | + | 0.0751582i | ||||
\(638\) | −45.4466 | + | 21.6327i | −1.79925 | + | 0.856448i | ||||
\(639\) | 5.64689 | 0.223388 | ||||||||
\(640\) | 17.0229 | + | 31.7713i | 0.672889 | + | 1.25587i | ||||
\(641\) | 33.0540 | + | 19.0838i | 1.30556 | + | 0.753763i | 0.981351 | − | 0.192223i | \(-0.0615698\pi\) |
0.324205 | + | 0.945987i | \(0.394903\pi\) | |||||||
\(642\) | 13.0773 | + | 9.00303i | 0.516119 | + | 0.355321i | ||||
\(643\) | 18.5705 | + | 10.7217i | 0.732350 | + | 0.422822i | 0.819281 | − | 0.573392i | \(-0.194373\pi\) |
−0.0869313 | + | 0.996214i | \(0.527706\pi\) | |||||||
\(644\) | 4.79414 | + | 12.5486i | 0.188915 | + | 0.494483i | ||||
\(645\) | − | 11.1369i | − | 0.438515i | ||||||
\(646\) | 5.44251 | − | 4.10184i | 0.214133 | − | 0.161385i | ||||
\(647\) | 23.8222i | 0.936547i | 0.883583 | + | 0.468274i | \(0.155124\pi\) | ||||
−0.883583 | + | 0.468274i | \(0.844876\pi\) | |||||||
\(648\) | −11.8492 | − | 11.2981i | −0.465479 | − | 0.443831i | ||||
\(649\) | −64.6280 | − | 37.3130i | −2.53687 | − | 1.46466i | ||||
\(650\) | 11.0602 | − | 16.0654i | 0.433817 | − | 0.630137i | ||||
\(651\) | 1.26727 | + | 0.731658i | 0.0496682 | + | 0.0286759i | ||||
\(652\) | 2.71887 | − | 16.9919i | 0.106479 | − | 0.665453i | ||||
\(653\) | 16.6726 | 0.652450 | 0.326225 | − | 0.945292i | \(-0.394223\pi\) | ||||
0.326225 | + | 0.945292i | \(0.394223\pi\) | |||||||
\(654\) | 1.81494 | + | 3.81288i | 0.0709699 | + | 0.149096i | ||||
\(655\) | −21.7159 | + | 12.5377i | −0.848512 | + | 0.489888i | ||||
\(656\) | 1.03505 | + | 1.15689i | 0.0404118 | + | 0.0451690i | ||||
\(657\) | 20.5988 | 0.803634 | ||||||||
\(658\) | −10.1582 | + | 4.83533i | −0.396007 | + | 0.188501i | ||||
\(659\) | 7.26163 | + | 12.5775i | 0.282873 | + | 0.489950i | 0.972091 | − | 0.234604i | \(-0.0753792\pi\) |
−0.689218 | + | 0.724554i | \(0.742046\pi\) | |||||||
\(660\) | 19.8552 | − | 7.58562i | 0.772864 | − | 0.295270i | ||||
\(661\) | 19.7070 | − | 11.3778i | 0.766513 | − | 0.442547i | −0.0651162 | − | 0.997878i | \(-0.520742\pi\) |
0.831629 | + | 0.555331i | \(0.187408\pi\) | |||||||
\(662\) | −1.08984 | + | 13.7088i | −0.0423579 | + | 0.532809i | ||||
\(663\) | 1.56436 | + | 0.903182i | 0.0607546 | + | 0.0350767i | ||||
\(664\) | −11.4035 | − | 2.76642i | −0.442540 | − | 0.107358i | ||||
\(665\) | −24.5573 | + | 21.7644i | −0.952290 | + | 0.843985i | ||||
\(666\) | 0.719251 | + | 1.51102i | 0.0278704 | + | 0.0585509i | ||||
\(667\) | −9.25159 | + | 16.0242i | −0.358223 | + | 0.620461i | ||||
\(668\) | −12.8560 | − | 33.6504i | −0.497414 | − | 1.30197i | ||||
\(669\) | −0.523752 | − | 0.907165i | −0.0202494 | − | 0.0350730i | ||||
\(670\) | −3.04976 | + | 38.3621i | −0.117822 | + | 1.48206i | ||||
\(671\) | 64.1957 | − | 37.0634i | 2.47825 | − | 1.43082i | ||||
\(672\) | 6.48952 | − | 4.93885i | 0.250339 | − | 0.190520i | ||||
\(673\) | 11.1598i | 0.430180i | 0.976594 | + | 0.215090i | \(0.0690044\pi\) | ||||
−0.976594 | + | 0.215090i | \(0.930996\pi\) | |||||||
\(674\) | 7.63401 | − | 11.0887i | 0.294051 | − | 0.427121i | ||||
\(675\) | 8.84136 | + | 15.3137i | 0.340304 | + | 0.589424i | ||||
\(676\) | 7.34993 | − | 9.04704i | 0.282689 | − | 0.347963i | ||||
\(677\) | 36.0612i | 1.38594i | 0.720965 | + | 0.692972i | \(0.243699\pi\) | ||||
−0.720965 | + | 0.692972i | \(0.756301\pi\) | |||||||
\(678\) | 8.72676 | − | 12.6760i | 0.335149 | − | 0.486818i | ||||
\(679\) | −0.875139 | + | 1.51579i | −0.0335848 | + | 0.0581705i | ||||
\(680\) | −9.55875 | + | 2.80673i | −0.366561 | + | 0.107633i | ||||
\(681\) | 5.26902 | − | 9.12621i | 0.201909 | − | 0.349717i | ||||
\(682\) | 7.82381 | + | 0.621986i | 0.299589 | + | 0.0238171i | ||||
\(683\) | 15.5917 | 0.596598 | 0.298299 | − | 0.954472i | \(-0.403581\pi\) | ||||
0.298299 | + | 0.954472i | \(0.403581\pi\) | |||||||
\(684\) | −22.8872 | + | 0.982774i | −0.875115 | + | 0.0375773i | ||||
\(685\) | 33.9259 | 1.29624 | ||||||||
\(686\) | −28.0371 | − | 2.22893i | −1.07046 | − | 0.0851009i | ||||
\(687\) | −5.12311 | + | 8.87348i | −0.195459 | + | 0.338544i | ||||
\(688\) | −15.2813 | − | 17.0802i | −0.582594 | − | 0.651176i | ||||
\(689\) | 5.45850 | − | 9.45440i | 0.207952 | − | 0.360184i | ||||
\(690\) | 4.43083 | − | 6.43597i | 0.168679 | − | 0.245013i | ||||
\(691\) | 22.9437i | 0.872818i | 0.899748 | + | 0.436409i | \(0.143750\pi\) | ||||
−0.899748 | + | 0.436409i | \(0.856250\pi\) | |||||||
\(692\) | 27.4388 | + | 22.2916i | 1.04307 | + | 0.847399i | ||||
\(693\) | 16.9744 | + | 29.4004i | 0.644802 | + | 1.11683i | ||||
\(694\) | 14.7483 | − | 21.4226i | 0.559839 | − | 0.813190i | ||||
\(695\) | − | 14.2210i | − | 0.539435i | ||||||
\(696\) | 10.9164 | + | 2.64827i | 0.413786 | + | 0.100382i | ||||
\(697\) | −0.371566 | + | 0.214524i | −0.0140741 | + | 0.00812567i | ||||
\(698\) | 0.656844 | − | 8.26227i | 0.0248619 | − | 0.312732i | ||||
\(699\) | −1.01491 | − | 1.75787i | −0.0383873 | − | 0.0664887i | ||||
\(700\) | 22.7351 | − | 8.68588i | 0.859308 | − | 0.328296i | ||||
\(701\) | −9.13435 | + | 15.8212i | −0.345000 | + | 0.597557i | −0.985354 | − | 0.170523i | \(-0.945454\pi\) |
0.640354 | + | 0.768080i | \(0.278788\pi\) | |||||||
\(702\) | −5.58903 | − | 11.7416i | −0.210944 | − | 0.443157i | ||||
\(703\) | 1.86198 | + | 0.621220i | 0.0702260 | + | 0.0234297i | ||||
\(704\) | 20.0427 | − | 38.8778i | 0.755386 | − | 1.46526i | ||||
\(705\) | 5.66725 | + | 3.27199i | 0.213441 | + | 0.123230i | ||||
\(706\) | −1.45505 | + | 18.3028i | −0.0547617 | + | 0.688833i | ||||
\(707\) | 11.0442 | − | 6.37634i | 0.415358 | − | 0.239807i | ||||
\(708\) | 5.94389 | + | 15.5580i | 0.223385 | + | 0.584706i | ||||
\(709\) | −17.4758 | − | 30.2690i | −0.656318 | − | 1.13678i | −0.981562 | − | 0.191146i | \(-0.938780\pi\) |
0.325244 | − | 0.945630i | \(-0.394554\pi\) | |||||||
\(710\) | −8.74224 | + | 4.16133i | −0.328090 | + | 0.156172i | ||||
\(711\) | −29.2842 | −1.09824 | ||||||||
\(712\) | 3.85655 | + | 13.1341i | 0.144530 | + | 0.492221i | ||||
\(713\) | 2.49870 | − | 1.44262i | 0.0935770 | − | 0.0540267i | ||||
\(714\) | 0.968758 | + | 2.03519i | 0.0362548 | + | 0.0761651i | ||||
\(715\) | −46.6483 | −1.74455 | ||||||||
\(716\) | −29.5456 | − | 4.72758i | −1.10417 | − | 0.176678i | ||||
\(717\) | −2.55297 | − | 1.47396i | −0.0953425 | − | 0.0550460i | ||||
\(718\) | −27.3330 | + | 39.7024i | −1.02006 | + | 1.48168i | ||||
\(719\) | −3.07635 | − | 1.77613i | −0.114728 | − | 0.0662385i | 0.441538 | − | 0.897243i | \(-0.354433\pi\) |
−0.556266 | + | 0.831004i | \(0.687766\pi\) | |||||||
\(720\) | 31.8153 | + | 10.4490i | 1.18569 | + | 0.389412i | ||||
\(721\) | − | 17.8356i | − | 0.664234i | ||||||
\(722\) | −17.7858 | + | 20.1412i | −0.661917 | + | 0.749577i | ||||
\(723\) | 16.3279i | 0.607241i | ||||||||
\(724\) | −32.7031 | + | 12.4941i | −1.21540 | + | 0.464340i | ||||
\(725\) | 29.0323 | + | 16.7618i | 1.07823 | + | 0.622517i | ||||
\(726\) | −13.4275 | − | 9.24413i | −0.498340 | − | 0.343082i | ||||
\(727\) | 6.15483 | + | 3.55349i | 0.228270 | + | 0.131792i | 0.609774 | − | 0.792576i | \(-0.291260\pi\) |
−0.381504 | + | 0.924367i | \(0.624594\pi\) | |||||||
\(728\) | −17.1731 | + | 5.04252i | −0.636478 | + | 0.186888i | ||||
\(729\) | −8.92615 | −0.330598 | ||||||||
\(730\) | −31.8900 | + | 15.1797i | −1.18030 | + | 0.561827i | ||||
\(731\) | 5.48575 | − | 3.16720i | 0.202898 | − | 0.117143i | ||||
\(732\) | −16.3356 | − | 2.61385i | −0.603781 | − | 0.0966108i | ||||
\(733\) | −15.8748 | −0.586350 | −0.293175 | − | 0.956059i | \(-0.594712\pi\) | ||||
−0.293175 | + | 0.956059i | \(0.594712\pi\) | |||||||
\(734\) | 7.94226 | + | 16.6853i | 0.293154 | + | 0.615866i | ||||
\(735\) | 1.37680 | + | 2.38469i | 0.0507842 | + | 0.0879607i | ||||
\(736\) | −2.03562 | − | 15.9503i | −0.0750341 | − | 0.587934i | ||||
\(737\) | 40.4429 | − | 23.3497i | 1.48973 | − | 0.860098i | ||||
\(738\) | 1.43766 | + | 0.114293i | 0.0529211 | + | 0.00420718i | ||||
\(739\) | 16.0186 | + | 9.24836i | 0.589255 | + | 0.340206i | 0.764803 | − | 0.644264i | \(-0.222836\pi\) |
−0.175548 | + | 0.984471i | \(0.556170\pi\) | |||||||
\(740\) | −2.22702 | − | 1.80925i | −0.0818667 | − | 0.0665095i | ||||
\(741\) | −6.75588 | − | 2.25399i | −0.248184 | − | 0.0828023i | ||||
\(742\) | 12.2999 | − | 5.85481i | 0.451545 | − | 0.214937i | ||||
\(743\) | 7.00831 | − | 12.1387i | 0.257110 | − | 0.445328i | −0.708357 | − | 0.705855i | \(-0.750563\pi\) |
0.965466 | + | 0.260527i | \(0.0838964\pi\) | |||||||
\(744\) | −1.26770 | − | 1.20874i | −0.0464760 | − | 0.0443146i | ||||
\(745\) | 12.7742 | + | 22.1255i | 0.468010 | + | 0.810617i | ||||
\(746\) | −16.7698 | − | 1.33318i | −0.613985 | − | 0.0488113i | ||||
\(747\) | −9.44119 | + | 5.45087i | −0.345435 | + | 0.199437i | ||||
\(748\) | 9.38308 | + | 7.62293i | 0.343079 | + | 0.278722i | ||||
\(749\) | − | 43.4795i | − | 1.58871i | ||||||
\(750\) | −0.339564 | − | 0.233772i | −0.0123991 | − | 0.00853615i | ||||
\(751\) | 10.3122 | + | 17.8612i | 0.376297 | + | 0.651765i | 0.990520 | − | 0.137367i | \(-0.0438640\pi\) |
−0.614223 | + | 0.789132i | \(0.710531\pi\) | |||||||
\(752\) | 13.1812 | − | 2.75811i | 0.480670 | − | 0.100578i | ||||
\(753\) | 8.97475i | 0.327058i | ||||||||
\(754\) | −20.3064 | − | 13.9799i | −0.739514 | − | 0.509117i | ||||
\(755\) | −8.82454 | + | 15.2846i | −0.321158 | + | 0.556262i | ||||
\(756\) | 2.56377 | − | 16.0226i | 0.0932433 | − | 0.582735i | ||||
\(757\) | 12.5598 | − | 21.7543i | 0.456495 | − | 0.790672i | −0.542278 | − | 0.840199i | \(-0.682438\pi\) |
0.998773 | + | 0.0495268i | \(0.0157713\pi\) | |||||||
\(758\) | 1.00163 | − | 12.5992i | 0.0363807 | − | 0.457624i | ||||
\(759\) | −9.48196 | −0.344173 | ||||||||
\(760\) | 34.7086 | − | 18.3876i | 1.25902 | − | 0.666990i | ||||
\(761\) | 7.58718 | 0.275035 | 0.137518 | − | 0.990499i | \(-0.456088\pi\) | ||||
0.137518 | + | 0.990499i | \(0.456088\pi\) | |||||||
\(762\) | 0.663070 | − | 8.34059i | 0.0240205 | − | 0.302148i | ||||
\(763\) | 5.78224 | − | 10.0151i | 0.209331 | − | 0.362572i | ||||
\(764\) | −5.89429 | + | 36.8371i | −0.213248 | + | 1.33272i | ||||
\(765\) | −4.62777 | + | 8.01553i | −0.167317 | + | 0.289802i | ||||
\(766\) | −14.3137 | − | 9.85427i | −0.517177 | − | 0.356049i | ||||
\(767\) | − | 36.5524i | − | 1.31983i | ||||||
\(768\) | −8.94281 | + | 3.91385i | −0.322696 | + | 0.141229i | ||||
\(769\) | −10.2413 | − | 17.7384i | −0.369309 | − | 0.639663i | 0.620148 | − | 0.784485i | \(-0.287072\pi\) |
−0.989458 | + | 0.144822i | \(0.953739\pi\) | |||||||
\(770\) | −47.9447 | − | 33.0075i | −1.72781 | − | 1.18951i | ||||
\(771\) | − | 6.16752i | − | 0.222118i | ||||||
\(772\) | 11.5562 | + | 9.38842i | 0.415918 | + | 0.337897i | ||||
\(773\) | 16.5528 | − | 9.55676i | 0.595363 | − | 0.343733i | −0.171852 | − | 0.985123i | \(-0.554975\pi\) |
0.767215 | + | 0.641390i | \(0.221642\pi\) | |||||||
\(774\) | −21.2255 | − | 1.68741i | −0.762933 | − | 0.0606526i | ||||
\(775\) | −2.61371 | − | 4.52707i | −0.0938872 | − | 0.162617i | ||||
\(776\) | 1.44578 | − | 1.51630i | 0.0519005 | − | 0.0544319i | ||||
\(777\) | −0.324595 | + | 0.562216i | −0.0116448 | + | 0.0201694i | ||||
\(778\) | −9.24399 | + | 4.40017i | −0.331413 | + | 0.157754i | ||||
\(779\) | 1.26597 | − | 1.12199i | 0.0453581 | − | 0.0401995i | ||||
\(780\) | 8.08034 | + | 6.56457i | 0.289323 | + | 0.235049i | ||||
\(781\) | 10.1752 | + | 5.87465i | 0.364097 | + | 0.210211i | ||||
\(782\) | 4.43027 | + | 0.352203i | 0.158426 | + | 0.0125948i | ||||
\(783\) | 19.3562 | − | 11.1753i | 0.691734 | − | 0.399373i | ||||
\(784\) | 5.38366 | + | 1.76815i | 0.192274 | + | 0.0631481i | ||||
\(785\) | −4.53927 | − | 7.86225i | −0.162014 | − | 0.280616i | ||||
\(786\) | −2.91877 | − | 6.13184i | −0.104109 | − | 0.218715i | ||||
\(787\) | −15.1750 | −0.540931 | −0.270465 | − | 0.962730i | \(-0.587178\pi\) | ||||
−0.270465 | + | 0.962730i | \(0.587178\pi\) | |||||||
\(788\) | −27.9934 | − | 4.47922i | −0.997224 | − | 0.159566i | ||||
\(789\) | 8.34035 | − | 4.81530i | 0.296924 | − | 0.171429i | ||||
\(790\) | 45.3364 | − | 21.5803i | 1.61300 | − | 0.767791i | ||||
\(791\) | −42.1453 | −1.49851 | ||||||||
\(792\) | −11.4488 | − | 38.9908i | −0.406817 | − | 1.38548i | ||||
\(793\) | 31.4436 | + | 18.1539i | 1.11659 | + | 0.644666i | ||||
\(794\) | 34.3457 | + | 23.6453i | 1.21888 | + | 0.839139i | ||||
\(795\) | −6.86214 | − | 3.96186i | −0.243375 | − | 0.140513i | ||||
\(796\) | 12.5439 | − | 4.79235i | 0.444606 | − | 0.169860i | ||||
\(797\) | − | 46.7518i | − | 1.65603i | −0.560704 | − | 0.828017i | \(-0.689469\pi\) | ||
0.560704 | − | 0.828017i | \(-0.310531\pi\) | |||||||
\(798\) | −5.34875 | − | 7.09696i | −0.189344 | − | 0.251230i | ||||
\(799\) | 3.72206i | 0.131677i | ||||||||
\(800\) | −28.8982 | + | 3.68809i | −1.02171 | + | 0.130394i | ||||
\(801\) | 11.0136 | + | 6.35873i | 0.389148 | + | 0.224675i | ||||
\(802\) | 2.94303 | − | 4.27487i | 0.103922 | − | 0.150951i | ||||
\(803\) | 37.1171 | + | 21.4296i | 1.30983 | + | 0.756233i | ||||
\(804\) | −10.2913 | − | 1.64671i | −0.362947 | − | 0.0580751i | ||||
\(805\) | −21.3984 | −0.754194 | ||||||||
\(806\) | 1.65224 | + | 3.47108i | 0.0581978 | + | 0.122264i | ||||
\(807\) | 0.0386062 | − | 0.0222893i | 0.00135900 | − | 0.000784620i | ||||
\(808\) | −14.6467 | + | 4.30071i | −0.515270 | + | 0.151298i | ||||
\(809\) | 29.0772 | 1.02230 | 0.511151 | − | 0.859491i | \(-0.329219\pi\) | ||||
0.511151 | + | 0.859491i | \(0.329219\pi\) | |||||||
\(810\) | 23.5484 | − | 11.2091i | 0.827407 | − | 0.393848i | ||||
\(811\) | −23.7677 | − | 41.1669i | −0.834597 | − | 1.44556i | −0.894358 | − | 0.447352i | \(-0.852367\pi\) |
0.0597609 | − | 0.998213i | \(-0.480966\pi\) | |||||||
\(812\) | −10.9788 | − | 28.7368i | −0.385280 | − | 1.00846i | ||||
\(813\) | 3.95627 | − | 2.28416i | 0.138753 | − | 0.0801088i | ||||
\(814\) | −0.275940 | + | 3.47098i | −0.00967171 | + | 0.121658i | ||||
\(815\) | 23.7391 | + | 13.7058i | 0.831544 | + | 0.480092i | ||||
\(816\) | −0.552588 | − | 2.64086i | −0.0193444 | − | 0.0924486i | ||||
\(817\) | −18.6906 | + | 16.5649i | −0.653902 | + | 0.579533i | ||||
\(818\) | −0.641388 | − | 1.34744i | −0.0224256 | − | 0.0471123i | ||||
\(819\) | −8.31417 | + | 14.4006i | −0.290521 | + | 0.503197i | ||||
\(820\) | −2.30994 | + | 0.882505i | −0.0806666 | + | 0.0308184i | ||||
\(821\) | 18.3351 | + | 31.7574i | 0.639900 | + | 1.10834i | 0.985454 | + | 0.169940i | \(0.0543576\pi\) |
−0.345554 | + | 0.938399i | \(0.612309\pi\) | |||||||
\(822\) | −0.728143 | + | 9.15913i | −0.0253969 | + | 0.319461i | ||||
\(823\) | −39.9324 | + | 23.0550i | −1.39196 | + | 0.803647i | −0.993532 | − | 0.113554i | \(-0.963776\pi\) |
−0.398425 | + | 0.917201i | \(0.630443\pi\) | |||||||
\(824\) | −5.03327 | + | 20.7476i | −0.175342 | + | 0.722778i | ||||
\(825\) | 17.1792i | 0.598102i | ||||||||
\(826\) | 25.8638 | − | 37.5682i | 0.899916 | − | 1.30716i | ||||
\(827\) | −3.93836 | − | 6.82143i | −0.136950 | − | 0.237205i | 0.789391 | − | 0.613891i | \(-0.210397\pi\) |
−0.926341 | + | 0.376687i | \(0.877063\pi\) | |||||||
\(828\) | −11.5948 | − | 9.41973i | −0.402946 | − | 0.327358i | ||||
\(829\) | − | 2.15631i | − | 0.0748918i | −0.999299 | − | 0.0374459i | \(-0.988078\pi\) | ||
0.999299 | − | 0.0374459i | \(-0.0119222\pi\) | |||||||
\(830\) | 10.5995 | − | 15.3962i | 0.367914 | − | 0.534410i | ||||
\(831\) | 5.81389 | − | 10.0699i | 0.201682 | − | 0.349323i | ||||
\(832\) | 21.3999 | − | 1.01951i | 0.741910 | − | 0.0353451i | ||||
\(833\) | −0.783093 | + | 1.35636i | −0.0271326 | + | 0.0469950i | ||||
\(834\) | 3.83932 | + | 0.305223i | 0.132945 | + | 0.0105690i | ||||
\(835\) | 57.3821 | 1.98579 | ||||||||
\(836\) | −42.2631 | − | 22.0395i | −1.46170 | − | 0.762251i | ||||
\(837\) | −3.48519 | −0.120466 | ||||||||
\(838\) | 18.3173 | + | 1.45621i | 0.632761 | + | 0.0503040i | ||||
\(839\) | −16.4564 | + | 28.5033i | −0.568137 | + | 0.984043i | 0.428613 | + | 0.903488i | \(0.359002\pi\) |
−0.996750 | + | 0.0805545i | \(0.974331\pi\) | |||||||
\(840\) | 3.65994 | + | 12.4645i | 0.126280 | + | 0.430066i | ||||
\(841\) | 6.68657 | − | 11.5815i | 0.230571 | − | 0.399361i | ||||
\(842\) | 26.6702 | − | 38.7396i | 0.919116 | − | 1.33505i | ||||
\(843\) | − | 5.34228i | − | 0.183998i | ||||||
\(844\) | −9.63440 | + | 11.8590i | −0.331630 | + | 0.408204i | ||||
\(845\) | 9.28399 | + | 16.0803i | 0.319379 | + | 0.553181i | ||||
\(846\) | 7.09465 | − | 10.3053i | 0.243919 | − | 0.354303i | ||||
\(847\) | 44.6439i | 1.53398i | ||||||||
\(848\) | −15.9604 | + | 3.33963i | −0.548081 | + | 0.114684i | ||||
\(849\) | −10.9411 | + | 6.31687i | −0.375499 | + | 0.216794i | ||||
\(850\) | 0.638112 | − | 8.02664i | 0.0218871 | − | 0.275312i | ||||
\(851\) | 0.640011 | + | 1.10853i | 0.0219393 | + | 0.0380000i | ||||
\(852\) | −0.935821 | − | 2.44949i | −0.0320607 | − | 0.0839183i | ||||
\(853\) | 2.93070 | − | 5.07612i | 0.100345 | − | 0.173803i | −0.811482 | − | 0.584378i | \(-0.801339\pi\) |
0.911827 | + | 0.410575i | \(0.134672\pi\) | |||||||
\(854\) | 19.4720 | + | 40.9073i | 0.666318 | + | 1.39982i | ||||
\(855\) | 11.5491 | − | 34.6161i | 0.394970 | − | 1.18385i | ||||
\(856\) | −12.2700 | + | 50.5783i | −0.419381 | + | 1.72873i | ||||
\(857\) | 1.57854 | + | 0.911371i | 0.0539219 | + | 0.0311318i | 0.526719 | − | 0.850040i | \(-0.323422\pi\) |
−0.472797 | + | 0.881172i | \(0.656755\pi\) | |||||||
\(858\) | 1.00120 | − | 12.5939i | 0.0341805 | − | 0.429947i | ||||
\(859\) | 36.6465 | − | 21.1578i | 1.25036 | − | 0.721896i | 0.279180 | − | 0.960239i | \(-0.409937\pi\) |
0.971181 | + | 0.238342i | \(0.0766041\pi\) | |||||||
\(860\) | 34.1037 | − | 13.0292i | 1.16293 | − | 0.444292i | ||||
\(861\) | 0.279736 | + | 0.484518i | 0.00953339 | + | 0.0165123i | ||||
\(862\) | 11.9277 | − | 5.67763i | 0.406259 | − | 0.193381i | ||||
\(863\) | −32.8925 | −1.11967 | −0.559836 | − | 0.828603i | \(-0.689136\pi\) | ||||
−0.559836 | + | 0.828603i | \(0.689136\pi\) | |||||||
\(864\) | −7.50396 | + | 17.9150i | −0.255290 | + | 0.609482i | ||||
\(865\) | −48.7701 | + | 28.1574i | −1.65823 | + | 0.957381i | ||||
\(866\) | 8.03004 | + | 16.8697i | 0.272872 | + | 0.573257i | ||||
\(867\) | −9.62616 | −0.326921 | ||||||||
\(868\) | −0.757908 | + | 4.73664i | −0.0257251 | + | 0.160772i | ||||
\(869\) | −52.7675 | − | 30.4654i | −1.79002 | − | 1.03347i | ||||
\(870\) | −10.1468 | + | 14.7387i | −0.344009 | + | 0.499687i | ||||
\(871\) | 19.8093 | + | 11.4369i | 0.671211 | + | 0.387524i | ||||
\(872\) | −9.55258 | + | 10.0185i | −0.323491 | + | 0.339270i | ||||
\(873\) | − | 1.94646i | − | 0.0658778i | ||||||
\(874\) | −17.3916 | + | 2.13671i | −0.588280 | + | 0.0722751i | ||||
\(875\) | 1.12899i | 0.0381667i | ||||||||
\(876\) | −3.41369 | − | 8.93527i | −0.115338 | − | 0.301895i | ||||
\(877\) | 37.4930 | + | 21.6466i | 1.26605 | + | 0.730954i | 0.974238 | − | 0.225522i | \(-0.0724088\pi\) |
0.291811 | + | 0.956476i | \(0.405742\pi\) | |||||||
\(878\) | −23.0704 | − | 15.8828i | −0.778589 | − | 0.536018i | ||||
\(879\) | 10.4591 | + | 6.03855i | 0.352776 | + | 0.203675i | ||||
\(880\) | 46.4578 | + | 51.9267i | 1.56609 | + | 1.75045i | ||||
\(881\) | −10.1569 | −0.342193 | −0.171097 | − | 0.985254i | \(-0.554731\pi\) | ||||
−0.171097 | + | 0.985254i | \(0.554731\pi\) | |||||||
\(882\) | 4.75352 | − | 2.26269i | 0.160059 | − | 0.0761887i | ||||
\(883\) | −31.8465 | + | 18.3866i | −1.07172 | + | 0.618757i | −0.928651 | − | 0.370956i | \(-0.879030\pi\) |
−0.143068 | + | 0.989713i | \(0.545697\pi\) | |||||||
\(884\) | −0.935586 | + | 5.84706i | −0.0314672 | + | 0.196658i | ||||
\(885\) | −26.5303 | −0.891805 | ||||||||
\(886\) | 6.21963 | + | 13.0664i | 0.208952 | + | 0.438973i | ||||
\(887\) | 19.3619 | + | 33.5357i | 0.650108 | + | 1.12602i | 0.983096 | + | 0.183089i | \(0.0586095\pi\) |
−0.332989 | + | 0.942931i | \(0.608057\pi\) | |||||||
\(888\) | 0.536250 | − | 0.562406i | 0.0179954 | − | 0.0188731i | ||||
\(889\) | −19.8436 | + | 11.4567i | −0.665532 | + | 0.384245i | ||||
\(890\) | −21.7367 | − | 1.72805i | −0.728615 | − | 0.0579243i | ||||
\(891\) | −27.4083 | − | 15.8242i | −0.918212 | − | 0.530130i | ||||
\(892\) | 2.16520 | − | 2.66515i | 0.0724962 | − | 0.0892358i | ||||
\(893\) | −2.93817 | − | 14.3779i | −0.0983220 | − | 0.481137i | ||||
\(894\) | −6.24750 | + | 2.97383i | −0.208948 | + | 0.0994597i | ||||
\(895\) | 23.8317 | − | 41.2777i | 0.796606 | − | 1.37976i | ||||
\(896\) | 22.7160 | + | 14.0944i | 0.758890 | + | 0.470859i | ||||
\(897\) | −2.32217 | − | 4.02212i | −0.0775350 | − | 0.134295i | ||||
\(898\) | 13.6693 | + | 1.08670i | 0.456152 | + | 0.0362637i | ||||
\(899\) | −5.72214 | + | 3.30368i | −0.190844 | + | 0.110184i | ||||
\(900\) | −17.0664 | + | 21.0071i | −0.568880 | + | 0.700236i | ||||
\(901\) | − | 4.50682i | − | 0.150144i | ||||||
\(902\) | 2.47163 | + | 1.70159i | 0.0822964 | + | 0.0566568i | ||||
\(903\) | −4.12999 | − | 7.15335i | −0.137438 | − | 0.238049i | ||||
\(904\) | 49.0263 | + | 11.8935i | 1.63059 | + | 0.395573i | ||||
\(905\) | − | 55.7669i | − | 1.85375i | ||||||
\(906\) | −3.93704 | − | 2.71045i | −0.130799 | − | 0.0900487i | ||||
\(907\) | 27.5458 | − | 47.7107i | 0.914643 | − | 1.58421i | 0.107220 | − | 0.994235i | \(-0.465805\pi\) |
0.807423 | − | 0.589973i | \(-0.200862\pi\) | |||||||
\(908\) | 34.1108 | + | 5.45806i | 1.13201 | + | 0.181132i | ||||
\(909\) | −7.09105 | + | 12.2821i | −0.235195 | + | 0.407370i | ||||
\(910\) | 2.25946 | − | 28.4212i | 0.0749004 | − | 0.942152i | ||||
\(911\) | −3.72616 | −0.123453 | −0.0617266 | − | 0.998093i | \(-0.519661\pi\) | ||||
−0.0617266 | + | 0.998093i | \(0.519661\pi\) | |||||||
\(912\) | 4.21925 | + | 9.76510i | 0.139713 | + | 0.323355i | ||||
\(913\) | −22.6829 | −0.750694 | ||||||||
\(914\) | −0.991869 | + | 12.4765i | −0.0328081 | + | 0.412685i | ||||
\(915\) | 13.1764 | − | 22.8222i | 0.435598 | − | 0.754479i | ||||
\(916\) | −33.1662 | − | 5.30691i | −1.09584 | − | 0.175345i | ||||
\(917\) | −9.29893 | + | 16.1062i | −0.307078 | + | 0.531874i | ||||
\(918\) | −4.42179 | − | 3.04418i | −0.145941 | − | 0.100473i | ||||
\(919\) | − | 17.4986i | − | 0.577224i | −0.957446 | − | 0.288612i | \(-0.906806\pi\) | ||
0.957446 | − | 0.288612i | \(-0.0931938\pi\) | |||||||
\(920\) | 24.8921 | + | 6.03869i | 0.820667 | + | 0.199090i | ||||
\(921\) | −2.73074 | − | 4.72979i | −0.0899811 | − | 0.155852i | ||||
\(922\) | 11.3130 | + | 7.78839i | 0.372572 | + | 0.256497i | ||||
\(923\) | 5.75490i | 0.189425i | ||||||||
\(924\) | 9.94020 | − | 12.2354i | 0.327009 | − | 0.402516i | ||||
\(925\) | 2.00841 | − | 1.15956i | 0.0660361 | − | 0.0381259i | ||||
\(926\) | 54.1482 | + | 4.30474i | 1.77942 | + | 0.141463i | ||||
\(927\) | 9.91740 | + | 17.1774i | 0.325730 | + | 0.564181i | ||||
\(928\) | 4.66167 | + | 36.5268i | 0.153027 | + | 1.19905i | ||||
\(929\) | −7.98584 | + | 13.8319i | −0.262007 | + | 0.453810i | −0.966775 | − | 0.255628i | \(-0.917718\pi\) |
0.704768 | + | 0.709438i | \(0.251051\pi\) | |||||||
\(930\) | 2.51936 | − | 1.19922i | 0.0826130 | − | 0.0393241i | ||||
\(931\) | 1.95429 | − | 5.85761i | 0.0640494 | − | 0.191975i | ||||
\(932\) | 4.19564 | − | 5.16443i | 0.137433 | − | 0.169166i | ||||
\(933\) | 0.131791 | + | 0.0760896i | 0.00431464 | + | 0.00249106i | ||||
\(934\) | −30.7100 | − | 2.44142i | −1.00486 | − | 0.0798858i | ||||
\(935\) | −16.6776 | + | 9.62883i | −0.545417 | + | 0.314897i | ||||
\(936\) | 13.7355 | − | 14.4054i | 0.448959 | − | 0.470857i | ||||
\(937\) | 0.674194 | + | 1.16774i | 0.0220249 | + | 0.0381483i | 0.876828 | − | 0.480805i | \(-0.159655\pi\) |
−0.854803 | + | 0.518953i | \(0.826322\pi\) | |||||||
\(938\) | 12.2673 | + | 25.7714i | 0.400540 | + | 0.841465i | ||||
\(939\) | −14.4823 | −0.472611 | ||||||||
\(940\) | −3.38938 | + | 21.1823i | −0.110549 | + | 0.690892i | ||||
\(941\) | −41.2979 | + | 23.8434i | −1.34627 | + | 0.777271i | −0.987719 | − | 0.156238i | \(-0.950063\pi\) |
−0.358553 | + | 0.933509i | \(0.616730\pi\) | |||||||
\(942\) | 2.22003 | − | 1.05674i | 0.0723325 | − | 0.0344305i | ||||
\(943\) | 1.10312 | 0.0359227 | ||||||||
\(944\) | −40.6883 | + | 36.4031i | −1.32429 | + | 1.18482i | ||||
\(945\) | 22.3849 | + | 12.9239i | 0.728180 | + | 0.420415i | ||||
\(946\) | −36.4909 | − | 25.1221i | −1.18642 | − | 0.816790i | ||||
\(947\) | −22.7091 | − | 13.1111i | −0.737946 | − | 0.426053i | 0.0833759 | − | 0.996518i | \(-0.473430\pi\) |
−0.821322 | + | 0.570465i | \(0.806763\pi\) | |||||||
\(948\) | 4.85307 | + | 12.7028i | 0.157621 | + | 0.412569i | ||||
\(949\) | 20.9927i | 0.681453i | ||||||||
\(950\) | 3.87122 | + | 31.5096i | 0.125599 | + | 1.02231i | ||||
\(951\) | − | 10.3109i | − | 0.334355i | ||||||
\(952\) | −5.09885 | + | 5.34755i | −0.165255 | + | 0.173315i | ||||
\(953\) | −23.7784 | − | 13.7285i | −0.770257 | − | 0.444708i | 0.0627090 | − | 0.998032i | \(-0.480026\pi\) |
−0.832966 | + | 0.553324i | \(0.813359\pi\) | |||||||
\(954\) | −8.59050 | + | 12.4781i | −0.278128 | + | 0.403992i | ||||
\(955\) | −51.4646 | − | 29.7131i | −1.66535 | − | 0.961493i | ||||
\(956\) | 1.52684 | − | 9.54218i | 0.0493816 | − | 0.308616i | ||||
\(957\) | 21.7141 | 0.701918 | ||||||||
\(958\) | −7.40765 | − | 15.5622i | −0.239330 | − | 0.502791i | ||||
\(959\) | 21.7910 | − | 12.5810i | 0.703668 | − | 0.406263i | ||||
\(960\) | −0.739973 | − | 15.5324i | −0.0238825 | − | 0.501306i | ||||
\(961\) | −29.9697 | −0.966764 | ||||||||
\(962\) | −1.53992 | + | 0.733008i | −0.0496491 | + | 0.0236331i | ||||
\(963\) | 24.1765 | + | 41.8749i | 0.779077 | + | 1.34940i | ||||
\(964\) | −49.9997 | + | 19.1022i | −1.61038 | + | 0.615241i | ||||
\(965\) | −20.5402 | + | 11.8589i | −0.661213 | + | 0.381751i | ||||
\(966\) | 0.459268 | − | 5.77702i | 0.0147767 | − | 0.185873i | ||||
\(967\) | −14.9005 | − | 8.60278i | −0.479166 | − | 0.276647i | 0.240903 | − | 0.970549i | \(-0.422557\pi\) |
−0.720069 | + | 0.693902i | \(0.755890\pi\) | |||||||
\(968\) | 12.5986 | − | 51.9328i | 0.404935 | − | 1.66918i | ||||
\(969\) | −2.88060 | + | 0.588661i | −0.0925383 | + | 0.0189105i | ||||
\(970\) | 1.43440 | + | 3.01342i | 0.0460557 | + | 0.0967550i | ||||
\(971\) | −6.50590 | + | 11.2685i | −0.208784 | + | 0.361625i | −0.951332 | − | 0.308168i | \(-0.900284\pi\) |
0.742548 | + | 0.669793i | \(0.233617\pi\) | |||||||
\(972\) | 9.87313 | + | 25.8427i | 0.316681 | + | 0.828906i | ||||
\(973\) | −5.27371 | − | 9.13434i | −0.169067 | − | 0.292833i | ||||
\(974\) | 3.12350 | − | 39.2898i | 0.100084 | − | 1.25892i | ||||
\(975\) | −7.28716 | + | 4.20725i | −0.233376 | + | 0.134740i | ||||
\(976\) | −11.1070 | − | 53.0812i | −0.355527 | − | 1.69909i | ||||
\(977\) | 38.1644i | 1.22099i | 0.792021 | + | 0.610494i | \(0.209029\pi\) | ||||
−0.792021 | + | 0.610494i | \(0.790971\pi\) | |||||||
\(978\) | −4.20972 | + | 6.11479i | −0.134612 | + | 0.195529i | ||||
\(979\) | 13.2304 | + | 22.9157i | 0.422845 | + | 0.732389i | ||||
\(980\) | −5.69173 | + | 7.00596i | −0.181816 | + | 0.223797i | ||||
\(981\) | 12.8607i | 0.410611i | ||||||||
\(982\) | 13.8897 | − | 20.1753i | 0.443237 | − | 0.643821i | ||||
\(983\) | −11.7428 | + | 20.3391i | −0.374536 | + | 0.648715i | −0.990257 | − | 0.139249i | \(-0.955531\pi\) |
0.615722 | + | 0.787964i | \(0.288865\pi\) | |||||||
\(984\) | −0.188676 | − | 0.642566i | −0.00601477 | − | 0.0204843i | ||||
\(985\) | 22.5797 | − | 39.1092i | 0.719449 | − | 1.24612i | ||||
\(986\) | −10.1455 | − | 0.806561i | −0.323099 | − | 0.0256861i | ||||
\(987\) | 4.85352 | 0.154489 | ||||||||
\(988\) | −1.00157 | − | 23.3250i | −0.0318642 | − | 0.742067i | ||||
\(989\) | −16.2864 | −0.517877 | ||||||||
\(990\) | 64.5290 | + | 5.13000i | 2.05087 | + | 0.163042i | ||||
\(991\) | −13.8156 | + | 23.9293i | −0.438866 | + | 0.760139i | −0.997602 | − | 0.0692069i | \(-0.977953\pi\) |
0.558736 | + | 0.829346i | \(0.311286\pi\) | |||||||
\(992\) | 2.21834 | − | 5.29609i | 0.0704324 | − | 0.168151i | ||||
\(993\) | 2.96641 | − | 5.13798i | 0.0941363 | − | 0.163049i | ||||
\(994\) | −4.07206 | + | 5.91483i | −0.129158 | + | 0.187607i | ||||
\(995\) | 21.3904i | 0.678122i | ||||||||
\(996\) | 3.92909 | + | 3.19204i | 0.124498 | + | 0.101144i | ||||
\(997\) | 11.8340 | + | 20.4970i | 0.374786 | + | 0.649148i | 0.990295 | − | 0.138982i | \(-0.0443829\pi\) |
−0.615509 | + | 0.788130i | \(0.711050\pi\) | |||||||
\(998\) | 0.932418 | − | 1.35438i | 0.0295152 | − | 0.0428720i | ||||
\(999\) | − | 1.54618i | − | 0.0489191i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 76.2.f.a.27.5 | yes | 16 | |
3.2 | odd | 2 | 684.2.r.a.559.4 | 16 | |||
4.3 | odd | 2 | inner | 76.2.f.a.27.2 | ✓ | 16 | |
8.3 | odd | 2 | 1216.2.n.f.255.4 | 16 | |||
8.5 | even | 2 | 1216.2.n.f.255.5 | 16 | |||
12.11 | even | 2 | 684.2.r.a.559.7 | 16 | |||
19.12 | odd | 6 | inner | 76.2.f.a.31.2 | yes | 16 | |
57.50 | even | 6 | 684.2.r.a.487.7 | 16 | |||
76.31 | even | 6 | inner | 76.2.f.a.31.5 | yes | 16 | |
152.69 | odd | 6 | 1216.2.n.f.639.4 | 16 | |||
152.107 | even | 6 | 1216.2.n.f.639.5 | 16 | |||
228.107 | odd | 6 | 684.2.r.a.487.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.f.a.27.2 | ✓ | 16 | 4.3 | odd | 2 | inner | |
76.2.f.a.27.5 | yes | 16 | 1.1 | even | 1 | trivial | |
76.2.f.a.31.2 | yes | 16 | 19.12 | odd | 6 | inner | |
76.2.f.a.31.5 | yes | 16 | 76.31 | even | 6 | inner | |
684.2.r.a.487.4 | 16 | 228.107 | odd | 6 | |||
684.2.r.a.487.7 | 16 | 57.50 | even | 6 | |||
684.2.r.a.559.4 | 16 | 3.2 | odd | 2 | |||
684.2.r.a.559.7 | 16 | 12.11 | even | 2 | |||
1216.2.n.f.255.4 | 16 | 8.3 | odd | 2 | |||
1216.2.n.f.255.5 | 16 | 8.5 | even | 2 | |||
1216.2.n.f.639.4 | 16 | 152.69 | odd | 6 | |||
1216.2.n.f.639.5 | 16 | 152.107 | even | 6 |