Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(25,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.q (of order \(9\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Character | \(\chi\) | \(=\) | 216.121 |
Dual form | 216.2.q.b.25.1 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.36303 | − | 1.06872i | −0.786944 | − | 0.617024i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.18080 | + | 1.82991i | 0.975284 | + | 0.818360i | 0.983371 | − | 0.181607i | \(-0.0581298\pi\) |
−0.00808726 | + | 0.999967i | \(0.502574\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.145059 | + | 0.0527971i | 0.0548271 | + | 0.0199554i | 0.369288 | − | 0.929315i | \(-0.379602\pi\) |
−0.314461 | + | 0.949270i | \(0.601824\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.715688 | + | 2.91338i | 0.238563 | + | 0.971127i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.10127 | − | 3.44137i | 1.23658 | − | 1.03761i | 0.238795 | − | 0.971070i | \(-0.423248\pi\) |
0.997784 | − | 0.0665427i | \(-0.0211969\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.00459855 | − | 0.0260797i | 0.00127541 | − | 0.00723320i | −0.984163 | − | 0.177264i | \(-0.943275\pi\) |
0.985439 | + | 0.170030i | \(0.0543866\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.01684 | − | 4.82488i | −0.262546 | − | 1.24578i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.88012 | − | 4.98852i | 0.698532 | − | 1.20989i | −0.270443 | − | 0.962736i | \(-0.587170\pi\) |
0.968975 | − | 0.247157i | \(-0.0794965\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.10159 | + | 5.37211i | 0.711553 | + | 1.23245i | 0.964274 | + | 0.264907i | \(0.0853414\pi\) |
−0.252720 | + | 0.967539i | \(0.581325\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.141294 | − | 0.226991i | −0.0308329 | − | 0.0495334i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.35846 | + | 1.22238i | −0.700288 | + | 0.254884i | −0.667534 | − | 0.744579i | \(-0.732650\pi\) |
−0.0327542 | + | 0.999463i | \(0.510428\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.539084 | + | 3.05730i | 0.107817 | + | 0.611460i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.13808 | − | 4.73589i | 0.411473 | − | 0.911422i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.0327963 | + | 0.185997i | 0.00609012 | + | 0.0345388i | 0.987701 | − | 0.156352i | \(-0.0499735\pi\) |
−0.981611 | + | 0.190891i | \(0.938862\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.56293 | + | 0.932831i | −0.460316 | + | 0.167541i | −0.561761 | − | 0.827300i | \(-0.689876\pi\) |
0.101444 | + | 0.994841i | \(0.467654\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −9.26799 | + | 0.307591i | −1.61335 | + | 0.0535447i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.219731 | + | 0.380584i | 0.0371412 | + | 0.0643305i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.11754 | + | 7.13179i | −0.676920 | + | 1.17246i | 0.298984 | + | 0.954258i | \(0.403352\pi\) |
−0.975904 | + | 0.218201i | \(0.929981\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.0341397 | + | 0.0306327i | −0.00546673 | + | 0.00490517i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.00921569 | + | 0.0522648i | −0.00143925 | + | 0.00816239i | −0.985519 | − | 0.169565i | \(-0.945764\pi\) |
0.984080 | + | 0.177728i | \(0.0568747\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.21877 | + | 5.21817i | −0.948354 | + | 0.795763i | −0.979020 | − | 0.203766i | \(-0.934682\pi\) |
0.0306658 | + | 0.999530i | \(0.490237\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.77045 | + | 7.66315i | −0.562066 | + | 1.14235i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −11.8622 | − | 4.31750i | −1.73028 | − | 0.629772i | −0.731633 | − | 0.681699i | \(-0.761241\pi\) |
−0.998651 | + | 0.0519270i | \(0.983464\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.34406 | − | 4.48420i | −0.763437 | − | 0.640599i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −9.25700 | + | 3.72145i | −1.29624 | + | 0.521108i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 13.8601 | 1.90384 | 0.951919 | − | 0.306350i | \(-0.0991078\pi\) | ||||
0.951919 | + | 0.306350i | \(0.0991078\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 15.2414 | 2.05516 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.51371 | − | 10.6371i | 0.200496 | − | 1.40891i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.24676 | + | 2.72435i | 0.422692 | + | 0.354680i | 0.829186 | − | 0.558973i | \(-0.188804\pi\) |
−0.406494 | + | 0.913653i | \(0.633249\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.47554 | − | 1.62897i | −0.573035 | − | 0.208568i | 0.0392166 | − | 0.999231i | \(-0.487514\pi\) |
−0.612251 | + | 0.790663i | \(0.709736\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.0500012 | + | 0.460398i | −0.00629956 | + | 0.0580047i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.0577519 | − | 0.0484596i | 0.00716325 | − | 0.00601068i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.03748 | − | 5.88386i | 0.126749 | − | 0.718827i | −0.853505 | − | 0.521084i | \(-0.825528\pi\) |
0.980254 | − | 0.197743i | \(-0.0633612\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.88406 | + | 1.92311i | 0.708357 | + | 0.231515i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.35870 | + | 2.35333i | −0.161248 | + | 0.279289i | −0.935316 | − | 0.353812i | \(-0.884885\pi\) |
0.774069 | + | 0.633101i | \(0.218218\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.37683 | − | 12.7770i | −0.863392 | − | 1.49544i | −0.868635 | − | 0.495453i | \(-0.835002\pi\) |
0.00524205 | − | 0.999986i | \(-0.498331\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.53260 | − | 4.74331i | 0.292439 | − | 0.547710i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.776619 | − | 0.282666i | 0.0885040 | − | 0.0322128i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.880151 | + | 4.99159i | 0.0990247 | + | 0.561597i | 0.993440 | + | 0.114359i | \(0.0364813\pi\) |
−0.894415 | + | 0.447238i | \(0.852408\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.97558 | + | 4.17015i | −0.886176 | + | 0.463349i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.538876 | − | 3.05612i | −0.0591494 | − | 0.335453i | 0.940845 | − | 0.338837i | \(-0.110034\pi\) |
−0.999994 | + | 0.00338482i | \(0.998923\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 15.4095 | − | 5.60860i | 1.67140 | − | 0.608338i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.154076 | − | 0.288569i | 0.0165187 | − | 0.0309379i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.11862 | + | 3.66956i | 0.224574 | + | 0.388973i | 0.956191 | − | 0.292742i | \(-0.0945677\pi\) |
−0.731618 | + | 0.681715i | \(0.761234\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.00204399 | − | 0.00354029i | 0.000214268 | − | 0.000371124i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.49028 | + | 1.46757i | 0.465620 | + | 0.152180i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.06653 | + | 17.3911i | −0.314619 | + | 1.78429i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.25397 | + | 7.76500i | −0.939598 | + | 0.788416i | −0.977515 | − | 0.210865i | \(-0.932372\pi\) |
0.0379173 | + | 0.999281i | \(0.487928\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 12.9613 | + | 9.48561i | 1.30266 | + | 0.953339i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.84886 | − | 3.22072i | −0.880495 | − | 0.320474i | −0.138085 | − | 0.990420i | \(-0.544095\pi\) |
−0.742409 | + | 0.669947i | \(0.766317\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.66917 | + | 5.59610i | 0.657133 | + | 0.551400i | 0.909226 | − | 0.416303i | \(-0.136675\pi\) |
−0.252093 | + | 0.967703i | \(0.581119\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.107238 | − | 0.753577i | 0.0104654 | − | 0.0735416i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.149779 | −0.0144797 | −0.00723986 | − | 0.999974i | \(-0.502305\pi\) | ||||
−0.00723986 | + | 0.999974i | \(0.502305\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.0150 | 0.959265 | 0.479633 | − | 0.877469i | \(-0.340770\pi\) | ||||
0.479633 | + | 0.877469i | \(0.340770\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 13.2342 | − | 5.32034i | 1.25613 | − | 0.504985i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −10.6838 | − | 8.96477i | −1.00505 | − | 0.843334i | −0.0173710 | − | 0.999849i | \(-0.505530\pi\) |
−0.987676 | + | 0.156515i | \(0.949974\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.56099 | − | 3.47991i | −0.891567 | − | 0.324504i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.0792711 | − | 0.00526758i | 0.00732862 | − | 0.000486988i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.681166 | − | 0.571567i | 0.0624424 | − | 0.0523954i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.06722 | − | 17.3951i | 0.278838 | − | 1.58137i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.0684175 | − | 0.0613894i | 0.00616900 | − | 0.00553529i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.69814 | − | 4.67332i | 0.241329 | − | 0.417994i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.33887 | − | 2.31899i | −0.118806 | − | 0.205777i | 0.800489 | − | 0.599347i | \(-0.204573\pi\) |
−0.919295 | + | 0.393570i | \(0.871240\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 14.0531 | − | 0.466402i | 1.23731 | − | 0.0410644i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.77812 | − | 1.37512i | 0.330096 | − | 0.120145i | −0.171655 | − | 0.985157i | \(-0.554912\pi\) |
0.501751 | + | 0.865012i | \(0.332689\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.166281 | + | 0.943027i | 0.0144184 | + | 0.0817708i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 13.3290 | − | 6.41554i | 1.14717 | − | 0.552162i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.177470 | − | 1.00648i | −0.0151623 | − | 0.0859894i | 0.976288 | − | 0.216477i | \(-0.0694567\pi\) |
−0.991450 | + | 0.130488i | \(0.958346\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.3098 | + | 4.48042i | −1.04411 | + | 0.380024i | −0.806436 | − | 0.591322i | \(-0.798606\pi\) |
−0.237672 | + | 0.971346i | \(0.576384\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.5544 | + | 18.5622i | 0.973053 | + | 1.56322i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.0708899 | − | 0.122785i | −0.00592811 | − | 0.0102678i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.268836 | + | 0.465637i | −0.0223256 | + | 0.0386690i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.49176 | + | 11.8234i | 0.205517 | + | 0.975175i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.34138 | + | 7.60735i | −0.109890 | + | 0.623219i | 0.879264 | + | 0.476336i | \(0.158035\pi\) |
−0.989154 | + | 0.146883i | \(0.953076\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.4824 | − | 9.63488i | 0.934425 | − | 0.784076i | −0.0421814 | − | 0.999110i | \(-0.513431\pi\) |
0.976607 | + | 0.215034i | \(0.0689863\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 16.5947 | + | 4.82067i | 1.34160 | + | 0.389728i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.29624 | − | 2.65562i | −0.586048 | − | 0.213304i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −18.5483 | − | 15.5638i | −1.48031 | − | 1.24213i | −0.905850 | − | 0.423598i | \(-0.860767\pi\) |
−0.574462 | − | 0.818532i | \(-0.694789\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −18.8918 | − | 14.8126i | −1.49821 | − | 1.17471i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.551713 | −0.0434811 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.3534 | 1.04592 | 0.522961 | − | 0.852357i | \(-0.324827\pi\) | ||||
0.522961 | + | 0.852357i | \(0.324827\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −20.7745 | − | 16.2888i | −1.61729 | − | 1.26808i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.07789 | + | 5.93906i | 0.547704 | + | 0.459578i | 0.874163 | − | 0.485633i | \(-0.161411\pi\) |
−0.326459 | + | 0.945211i | \(0.605855\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.2153 | + | 4.44602i | 0.939642 | + | 0.342002i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −13.4312 | + | 12.8809i | −1.02711 | + | 0.985025i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −19.7459 | + | 16.5688i | −1.50126 | + | 1.25970i | −0.622319 | + | 0.782764i | \(0.713809\pi\) |
−0.878937 | + | 0.476939i | \(0.841746\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.0832176 | + | 0.471950i | −0.00629066 | + | 0.0356761i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.51386 | − | 7.18323i | −0.113788 | − | 0.539925i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 0.113553 | − | 0.196679i | 0.00848732 | − | 0.0147005i | −0.861751 | − | 0.507332i | \(-0.830632\pi\) |
0.870238 | + | 0.492632i | \(0.163965\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.80048 | + | 6.58262i | 0.282487 | + | 0.489282i | 0.971997 | − | 0.234995i | \(-0.0755072\pi\) |
−0.689510 | + | 0.724277i | \(0.742174\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.35939 | + | 7.00341i | 0.322255 | + | 0.517707i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −22.0301 | + | 8.01829i | −1.61968 | + | 0.589517i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.35520 | − | 30.3708i | −0.391611 | − | 2.22093i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.560188 | − | 0.574098i | 0.0407477 | − | 0.0417595i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.726932 | − | 4.12264i | −0.0525989 | − | 0.298303i | 0.947148 | − | 0.320797i | \(-0.103951\pi\) |
−0.999747 | + | 0.0224933i | \(0.992840\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.376522 | + | 0.137043i | −0.0271027 | + | 0.00986456i | −0.355536 | − | 0.934663i | \(-0.615702\pi\) |
0.328433 | + | 0.944527i | \(0.393479\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.130507 | + | 0.00433134i | −0.00934581 | + | 0.000310173i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.55429 | + | 6.15621i | 0.253233 | + | 0.438612i | 0.964414 | − | 0.264397i | \(-0.0851729\pi\) |
−0.711181 | + | 0.703009i | \(0.751840\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.9253 | + | 18.9232i | −0.774474 | + | 1.34143i | 0.160616 | + | 0.987017i | \(0.448652\pi\) |
−0.935090 | + | 0.354411i | \(0.884681\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.70229 | + | 6.91108i | −0.543278 | + | 0.487470i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.00506271 | + | 0.0287121i | −0.000355333 | + | 0.00201519i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.115737 | + | 0.0971152i | −0.00808345 | + | 0.00678282i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −5.96487 | − | 8.90964i | −0.414587 | − | 0.619263i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 31.2079 | + | 11.3587i | 2.15869 | + | 0.785700i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.19890 | − | 6.04060i | −0.495593 | − | 0.415852i | 0.360433 | − | 0.932785i | \(-0.382629\pi\) |
−0.856026 | + | 0.516933i | \(0.827073\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.36699 | − | 1.75559i | 0.299221 | − | 0.120291i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −23.1107 | −1.57614 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.421027 | −0.0285812 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.60022 | + | 25.2992i | −0.243280 | + | 1.70956i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.116854 | − | 0.0980526i | −0.00786048 | − | 0.00659573i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.0978 | − | 4.76722i | −0.877095 | − | 0.319237i | −0.136058 | − | 0.990701i | \(-0.543443\pi\) |
−0.741037 | + | 0.671464i | \(0.765666\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.52126 | + | 3.75863i | −0.568084 | + | 0.250575i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 13.2560 | − | 11.1231i | 0.879831 | − | 0.738266i | −0.0863130 | − | 0.996268i | \(-0.527509\pi\) |
0.966144 | + | 0.258002i | \(0.0830641\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.99437 | + | 11.3106i | −0.131792 | + | 0.747427i | 0.845249 | + | 0.534373i | \(0.179452\pi\) |
−0.977040 | + | 0.213054i | \(0.931659\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.36064 | − | 0.444704i | −0.0895238 | − | 0.0292594i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.552886 | + | 0.957626i | −0.0362208 | + | 0.0627362i | −0.883568 | − | 0.468304i | \(-0.844865\pi\) |
0.847347 | + | 0.531040i | \(0.178199\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −17.9685 | − | 31.1224i | −1.17214 | − | 2.03020i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 4.13492 | − | 7.74430i | 0.268592 | − | 0.503046i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.17137 | − | 0.426344i | 0.0757696 | − | 0.0275779i | −0.303857 | − | 0.952718i | \(-0.598275\pi\) |
0.379627 | + | 0.925140i | \(0.376052\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.62907 | + | 26.2528i | 0.298185 | + | 1.69109i | 0.653969 | + | 0.756522i | \(0.273103\pi\) |
−0.355784 | + | 0.934568i | \(0.615786\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.3276 | + | 2.83962i | 0.983269 | + | 0.182161i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.44865 | − | 19.5583i | −0.220326 | − | 1.24953i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.154366 | − | 0.0561845i | 0.00982205 | − | 0.00357493i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.53162 | + | 4.74148i | −0.160435 | + | 0.300479i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.75536 | − | 15.1647i | −0.552633 | − | 0.957189i | −0.998083 | − | 0.0618822i | \(-0.980290\pi\) |
0.445450 | − | 0.895307i | \(-0.353044\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.56729 | + | 16.5710i | −0.601490 | + | 1.04181i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −26.9976 | − | 8.82373i | −1.69066 | − | 0.552563i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.97148 | − | 11.1808i | 0.122978 | − | 0.697440i | −0.859511 | − | 0.511117i | \(-0.829232\pi\) |
0.982489 | − | 0.186323i | \(-0.0596571\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.973824 | + | 0.817135i | −0.0605105 | + | 0.0507743i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.518408 | + | 0.228664i | −0.0320887 | + | 0.0141539i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 12.3794 | + | 4.50573i | 0.763346 | + | 0.277835i | 0.694210 | − | 0.719772i | \(-0.255754\pi\) |
0.0691353 | + | 0.997607i | \(0.477976\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 30.2262 | + | 25.3628i | 1.85678 | + | 1.55803i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.03398 | − | 7.26592i | 0.0632787 | − | 0.444667i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.50575 | −0.0918074 | −0.0459037 | − | 0.998946i | \(-0.514617\pi\) | ||||
−0.0459037 | + | 0.998946i | \(0.514617\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 25.7002 | 1.56117 | 0.780587 | − | 0.625047i | \(-0.214920\pi\) | ||||
0.780587 | + | 0.625047i | \(0.214920\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.00656959 | + | 0.00264107i | −0.000397610 | + | 0.000159845i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 12.7322 | + | 10.6836i | 0.767782 | + | 0.644246i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.61518 | + | 2.77170i | 0.457552 | + | 0.166535i | 0.560505 | − | 0.828151i | \(-0.310607\pi\) |
−0.102953 | + | 0.994686i | \(0.532829\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −4.55195 | − | 6.79918i | −0.272518 | − | 0.407056i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −12.0856 | + | 10.1410i | −0.720968 | + | 0.604964i | −0.927653 | − | 0.373443i | \(-0.878177\pi\) |
0.206685 | + | 0.978408i | \(0.433733\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.79183 | + | 15.8333i | −0.165957 | + | 0.941190i | 0.782115 | + | 0.623134i | \(0.214141\pi\) |
−0.948072 | + | 0.318056i | \(0.896970\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 22.7660 | − | 20.4273i | 1.34854 | − | 1.21001i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.00409625 | + | 0.00709491i | −0.000241794 | + | 0.000418799i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.09021 | − | 14.0127i | −0.475895 | − | 0.824274i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 20.9120 | − | 0.694038i | 1.22588 | − | 0.0406852i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.8571 | − | 4.31565i | 0.692701 | − | 0.252123i | 0.0284099 | − | 0.999596i | \(-0.490956\pi\) |
0.664291 | + | 0.747474i | \(0.268733\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.09521 | + | 11.8825i | 0.121988 | + | 0.691828i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −7.52912 | − | 26.7811i | −0.436884 | − | 1.55399i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.0164352 | + | 0.0932088i | 0.000950473 | + | 0.00539040i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.17759 | + | 0.428608i | −0.0678753 | + | 0.0247046i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 8.61920 | + | 13.8469i | 0.495160 | + | 0.795481i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.77941 | − | 11.7423i | −0.388188 | − | 0.672362i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.60942 | + | 7.98375i | −0.263074 | + | 0.455657i | −0.967057 | − | 0.254560i | \(-0.918070\pi\) |
0.703984 | + | 0.710216i | \(0.251403\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −3.10962 | − | 14.7551i | −0.176900 | − | 0.839388i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.17642 | − | 29.3569i | 0.293528 | − | 1.66468i | −0.379598 | − | 0.925152i | \(-0.623938\pi\) |
0.673126 | − | 0.739528i | \(-0.264951\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.64949 | − | 4.74048i | 0.319328 | − | 0.267948i | −0.469007 | − | 0.883195i | \(-0.655388\pi\) |
0.788335 | + | 0.615247i | \(0.210944\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.951529 | + | 0.912539i | −0.0536126 | + | 0.0514157i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 9.63254 | + | 3.50596i | 0.541017 | + | 0.196914i | 0.598051 | − | 0.801458i | \(-0.295942\pi\) |
−0.0570337 | + | 0.998372i | \(0.518164\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.774591 | + | 0.649959i | 0.0433688 | + | 0.0363907i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.204153 | + | 0.160072i | 0.0113947 | + | 0.00893434i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 35.7318 | 1.98817 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0822123 | 0.00456032 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −13.6508 | − | 10.7032i | −0.754888 | − | 0.591890i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.49277 | − | 1.25258i | −0.0822990 | − | 0.0690571i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.6982 | + | 8.62542i | 1.30257 | + | 0.474096i | 0.897832 | − | 0.440337i | \(-0.145141\pi\) |
0.404736 | + | 0.914433i | \(0.367363\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −23.7245 | − | 6.89183i | −1.30010 | − | 0.377670i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 13.0295 | − | 10.9330i | 0.711876 | − | 0.597335i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.600815 | + | 3.40739i | −0.0327285 | + | 0.185612i | −0.996789 | − | 0.0800692i | \(-0.974486\pi\) |
0.964061 | + | 0.265682i | \(0.0855970\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 4.98151 | + | 23.6372i | 0.270558 | + | 1.28379i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.30105 | + | 12.6458i | −0.395374 | + | 0.684808i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.07874 | − | 1.86843i | −0.0582465 | − | 0.100886i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 9.31284 | + | 14.9612i | 0.501387 | + | 0.805484i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 21.9683 | − | 7.99579i | 1.17932 | − | 0.429237i | 0.323357 | − | 0.946277i | \(-0.395189\pi\) |
0.855961 | + | 0.517040i | \(0.172966\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.94303 | − | 16.6908i | −0.157537 | − | 0.893437i | −0.956430 | − | 0.291963i | \(-0.905692\pi\) |
0.798893 | − | 0.601474i | \(-0.205420\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.113678 | − | 0.0775385i | −0.00606770 | − | 0.00413870i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.66836 | + | 9.46173i | 0.0887977 | + | 0.503597i | 0.996472 | + | 0.0839222i | \(0.0267447\pi\) |
−0.907675 | + | 0.419675i | \(0.862144\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.26943 | + | 2.64586i | −0.385821 | + | 0.140427i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.53929 | + | 0.0510868i | −0.0814679 | + | 0.00270380i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 13.3015 | + | 23.0388i | 0.702024 | + | 1.21594i | 0.967755 | + | 0.251895i | \(0.0810536\pi\) |
−0.265730 | + | 0.964047i | \(0.585613\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.73971 | + | 16.8697i | −0.512616 | + | 0.887878i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −22.7711 | + | 20.4320i | −1.19517 | + | 1.07240i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.29343 | − | 41.3631i | 0.381756 | − | 2.16504i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.05209 | + | 3.40011i | −0.211518 | + | 0.177484i | −0.742391 | − | 0.669967i | \(-0.766308\pi\) |
0.530874 | + | 0.847451i | \(0.321864\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.158863 | + | 0.0105565i | −0.00827007 | + | 0.000549548i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.01054 | + | 0.731776i | 0.104382 | + | 0.0379919i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.0823 | + | 13.4947i | 0.832711 | + | 0.698728i | 0.955912 | − | 0.293654i | \(-0.0948714\pi\) |
−0.123201 | + | 0.992382i | \(0.539316\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.67209 | + | 3.48631i | −0.447825 | + | 0.180032i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.00500156 | 0.000257593 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.5959 | −0.852476 | −0.426238 | − | 0.904611i | \(-0.640161\pi\) | ||||
−0.426238 | + | 0.904611i | \(0.640161\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.653428 | + | 4.59172i | −0.0334761 | + | 0.235241i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −9.90918 | − | 8.31479i | −0.506335 | − | 0.424866i | 0.353502 | − | 0.935434i | \(-0.384991\pi\) |
−0.859837 | + | 0.510568i | \(0.829435\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.21091 | + | 0.804704i | 0.112678 | + | 0.0410115i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −19.6532 | − | 14.3831i | −0.999029 | − | 0.731133i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −19.1992 | + | 16.1100i | −0.973438 | + | 0.816812i | −0.983087 | − | 0.183142i | \(-0.941373\pi\) |
0.00964819 | + | 0.999953i | \(0.496929\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.57492 | + | 20.2744i | −0.180791 | + | 1.02532i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.61930 | − | 2.16341i | −0.333899 | − | 0.109130i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.21471 | + | 12.4963i | −0.363012 | + | 0.628755i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.8226 | − | 20.4773i | −0.593359 | − | 1.02773i | −0.993776 | − | 0.111395i | \(-0.964468\pi\) |
0.400418 | − | 0.916333i | \(-0.368865\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.781183 | − | 1.46308i | 0.0391081 | − | 0.0732456i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.0226 | − | 4.01190i | 0.550443 | − | 0.200345i | −0.0518003 | − | 0.998657i | \(-0.516496\pi\) |
0.602243 | + | 0.798313i | \(0.294274\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.0125422 | + | 0.0711301i | 0.000624769 | + | 0.00354324i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −25.0241 | − | 5.50033i | −1.24346 | − | 0.273314i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.65601 | + | 43.4194i | 0.379494 | + | 2.15222i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.3690 | − | 3.77401i | 0.512715 | − | 0.186613i | −0.0726893 | − | 0.997355i | \(-0.523158\pi\) |
0.585404 | + | 0.810742i | \(0.300936\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.833747 | + | 1.56153i | −0.0411257 | + | 0.0770244i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.327133 | + | 0.566611i | 0.0160972 | + | 0.0278811i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.41724 | − | 7.65088i | 0.216834 | − | 0.375567i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 21.5670 | + | 7.04881i | 1.05614 | + | 0.345182i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.622392 | − | 3.52976i | 0.0304058 | − | 0.172440i | −0.965823 | − | 0.259201i | \(-0.916541\pi\) |
0.996229 | + | 0.0867614i | \(0.0276518\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.6737 | − | 22.3819i | 1.30000 | − | 1.09083i | 0.309853 | − | 0.950785i | \(-0.399720\pi\) |
0.990145 | − | 0.140043i | \(-0.0447241\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.08886 | − | 37.6492i | 0.198807 | − | 1.83057i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 16.8040 | + | 6.11616i | 0.815115 | + | 0.296677i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.563213 | − | 0.472592i | −0.0272558 | − | 0.0228703i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.0345974 | + | 0.243121i | −0.00167038 | + | 0.0117380i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −28.6872 | −1.38182 | −0.690908 | − | 0.722943i | \(-0.742789\pi\) | ||||
−0.690908 | + | 0.722943i | \(0.742789\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14.7618 | −0.709407 | −0.354703 | − | 0.934979i | \(-0.615418\pi\) | ||||
−0.354703 | + | 0.934979i | \(0.615418\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.864064 | − | 0.347367i | 0.0414287 | − | 0.0166550i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −16.9833 | − | 14.2507i | −0.812423 | − | 0.681704i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.35308 | − | 2.31233i | −0.303216 | − | 0.110362i | 0.185932 | − | 0.982563i | \(-0.440470\pi\) |
−0.489147 | + | 0.872201i | \(0.662692\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.23949 | − | 18.7786i | 0.439976 | − | 0.894217i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 21.7900 | − | 18.2840i | 1.03528 | − | 0.868700i | 0.0438065 | − | 0.999040i | \(-0.486051\pi\) |
0.991469 | + | 0.130340i | \(0.0416070\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.09467 | + | 11.8795i | −0.0992970 | + | 0.563141i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 9.95845 | − | 8.93547i | 0.471018 | − | 0.422633i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.1001 | − | 17.4939i | 0.476654 | − | 0.825589i | −0.522988 | − | 0.852340i | \(-0.675183\pi\) |
0.999642 | + | 0.0267507i | \(0.00851603\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.142067 | + | 0.246067i | 0.00668965 | + | 0.0115868i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −25.9478 | + | 0.861169i | −1.21913 | + | 0.0404612i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.0109360 | − | 0.00398036i | 0.000512686 | − | 0.000186602i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.40361 | + | 7.96027i | 0.0656582 | + | 0.372366i | 0.999877 | + | 0.0156663i | \(0.00498693\pi\) |
−0.934219 | + | 0.356700i | \(0.883902\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −17.4671 | − | 24.3058i | −0.815296 | − | 1.13450i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.45167 | − | 19.5754i | −0.160760 | − | 0.911717i | −0.953329 | − | 0.301934i | \(-0.902368\pi\) |
0.792568 | − | 0.609783i | \(-0.208743\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.0828 | − | 6.58158i | 0.840377 | − | 0.305872i | 0.114266 | − | 0.993450i | \(-0.463548\pi\) |
0.726110 | + | 0.687578i | \(0.241326\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 7.10688 | + | 11.4173i | 0.329574 | + | 0.529464i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.04526 | − | 1.81045i | −0.0483690 | − | 0.0837776i | 0.840827 | − | 0.541304i | \(-0.182069\pi\) |
−0.889196 | + | 0.457526i | \(0.848736\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.461147 | − | 0.798729i | 0.0212938 | − | 0.0368819i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.64845 | + | 41.0368i | 0.398500 | + | 1.89087i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7.54718 | + | 42.8022i | −0.347020 | + | 1.96805i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −14.7521 | + | 12.3785i | −0.676874 | + | 0.567965i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 9.91955 | + | 40.3799i | 0.454185 | + | 1.84887i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −25.9253 | − | 9.43604i | −1.18456 | − | 0.431143i | −0.326748 | − | 0.945112i | \(-0.605953\pi\) |
−0.857809 | + | 0.513968i | \(0.828175\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.167060 | + | 0.140180i | 0.00761728 | + | 0.00639166i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.752000 | + | 0.589625i | 0.0342172 | + | 0.0268289i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −34.3903 | −1.56158 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.2691 | −0.737223 | −0.368612 | − | 0.929583i | \(-0.620167\pi\) | ||||
−0.368612 | + | 0.929583i | \(0.620167\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −18.2011 | − | 14.2710i | −0.823082 | − | 0.645359i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −23.5401 | − | 19.7525i | −1.06235 | − | 0.891418i | −0.0680129 | − | 0.997684i | \(-0.521666\pi\) |
−0.994338 | + | 0.106266i | \(0.966110\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.02231 | + | 0.372089i | 0.0460424 | + | 0.0167581i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.9081 | + | 44.4041i | 0.490284 | + | 1.99582i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.321340 | + | 0.269636i | −0.0144141 | + | 0.0120948i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.645667 | + | 3.66176i | −0.0289040 | + | 0.163923i | −0.995843 | − | 0.0910844i | \(-0.970967\pi\) |
0.966939 | + | 0.255007i | \(0.0820778\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.30019 | − | 15.6594i | −0.147442 | − | 0.699609i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −3.24639 | + | 5.62291i | −0.144749 | + | 0.250713i | −0.929279 | − | 0.369378i | \(-0.879571\pi\) |
0.784530 | + | 0.620091i | \(0.212904\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.4040 | − | 23.2164i | −0.596469 | − | 1.03311i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −11.8983 | − | 19.1148i | −0.528423 | − | 0.848918i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 20.6356 | − | 7.51076i | 0.914659 | − | 0.332909i | 0.158547 | − | 0.987351i | \(-0.449319\pi\) |
0.756112 | + | 0.654443i | \(0.227097\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.395483 | − | 2.24290i | −0.0174952 | − | 0.0992200i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 32.0731 | − | 3.20279i | 1.41606 | − | 0.141407i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.30378 | + | 24.4079i | 0.189647 | + | 1.07554i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −63.5083 | + | 23.1151i | −2.79309 | + | 1.01660i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 44.6216 | − | 1.48092i | 1.95867 | − | 0.0650054i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −13.6606 | − | 23.6608i | −0.598480 | − | 1.03660i | −0.993046 | − | 0.117730i | \(-0.962438\pi\) |
0.394566 | − | 0.918868i | \(-0.370895\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.80343 | + | 11.7839i | −0.297493 | + | 0.515274i | −0.975562 | − | 0.219725i | \(-0.929484\pi\) |
0.678069 | + | 0.734999i | \(0.262817\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.617809 | − | 0.554345i | 0.0269634 | − | 0.0241936i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.72811 | + | 15.4719i | −0.118839 | + | 0.673967i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.83396 | + | 6.57347i | −0.340607 | + | 0.285803i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −5.61341 | + | 11.4088i | −0.243601 | + | 0.495101i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.00132067 | 0.000480684i | 5.72045e−5 | 2.08207e-5i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.326639 | − | 0.274083i | −0.0141218 | − | 0.0118496i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.364970 | + | 0.146723i | −0.0157496 | + | 0.00633157i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −37.3492 | −1.60874 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 19.3887 | 0.833584 | 0.416792 | − | 0.909002i | \(-0.363154\pi\) | ||||
0.416792 | + | 0.909002i | \(0.363154\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.85480 | − | 13.0339i | 0.0795971 | − | 0.559339i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 21.8408 | + | 18.3266i | 0.935556 | + | 0.785025i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.85277 | + | 3.58612i | 0.421274 | + | 0.153331i | 0.543954 | − | 0.839115i | \(-0.316927\pi\) |
−0.122680 | + | 0.992446i | \(0.539149\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.54270 | − | 14.2048i | 0.0658409 | − | 0.606246i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.897476 | + | 0.753072i | −0.0382338 | + | 0.0320819i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.135868 | + | 0.770543i | −0.00577767 | + | 0.0327668i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 38.5969 | + | 12.6148i | 1.63835 | + | 0.535467i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −14.3245 | + | 24.8107i | −0.606947 | + | 1.05126i | 0.384794 | + | 0.923003i | \(0.374273\pi\) |
−0.991741 | + | 0.128260i | \(0.959061\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.107491 | + | 0.186179i | 0.00454637 | + | 0.00787455i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −25.1585 | + | 47.1195i | −1.06219 | + | 1.98938i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −17.4077 | + | 6.33587i | −0.733646 | + | 0.267025i | −0.681707 | − | 0.731625i | \(-0.738762\pi\) |
−0.0519385 | + | 0.998650i | \(0.516540\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.89452 | − | 39.1007i | −0.290054 | − | 1.64498i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.37710 | + | 0.183829i | −0.0578328 | + | 0.00772009i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.20855 | + | 12.5253i | 0.0925873 | + | 0.525088i | 0.995460 | + | 0.0951806i | \(0.0303429\pi\) |
−0.902873 | + | 0.429908i | \(0.858546\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.7338 | − | 8.27441i | 0.951378 | − | 0.346273i | 0.180729 | − | 0.983533i | \(-0.442154\pi\) |
0.770649 | + | 0.637260i | \(0.219932\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.41510 | + | 6.39615i | −0.142668 | + | 0.267203i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.54768 | − | 9.60886i | −0.231354 | − | 0.400717i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.40688 | − | 7.63294i | 0.183461 | − | 0.317764i | −0.759596 | − | 0.650395i | \(-0.774603\pi\) |
0.943057 | + | 0.332632i | \(0.107937\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.659670 | + | 0.215602i | 0.0274150 | + | 0.00896013i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.0831855 | − | 0.471768i | 0.00345111 | − | 0.0195722i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 56.8442 | − | 47.6979i | 2.35425 | − | 1.97545i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.182514 | + | 0.133571i | 0.00754601 | + | 0.00552250i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.17717 | + | 2.97625i | 0.337508 | + | 0.122843i | 0.505214 | − | 0.862994i | \(-0.331414\pi\) |
−0.167706 | + | 0.985837i | \(0.553636\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.9604 | − | 10.8751i | −0.534025 | − | 0.448101i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.73465 | − | 12.1896i | 0.0713540 | − | 0.501414i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.83668 | 0.198619 | 0.0993094 | − | 0.995057i | \(-0.468337\pi\) | ||||
0.0993094 | + | 0.995057i | \(0.468337\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.53140 | 0.103777 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 35.1150 | − | 14.1168i | 1.43716 | − | 0.577760i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −11.0154 | − | 9.24301i | −0.450077 | − | 0.377659i | 0.389388 | − | 0.921074i | \(-0.372687\pi\) |
−0.839464 | + | 0.543415i | \(0.817131\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.2323 | − | 5.18014i | −0.580548 | − | 0.211302i | 0.0350189 | − | 0.999387i | \(-0.488851\pi\) |
−0.615567 | + | 0.788084i | \(0.711073\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 17.8844 | − | 1.18842i | 0.728310 | − | 0.0483964i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 38.5204 | − | 32.3225i | 1.56608 | − | 1.31410i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.95372 | − | 11.0801i | 0.0792991 | − | 0.449728i | −0.919143 | − | 0.393925i | \(-0.871117\pi\) |
0.998442 | − | 0.0558030i | \(-0.0177719\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.0375857 | − | 0.0337247i | 0.00152305 | − | 0.00136659i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.167148 | + | 0.289509i | −0.00676208 | + | 0.0117123i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.66863 | + | 16.7466i | 0.390512 | + | 0.676387i | 0.992517 | − | 0.122105i | \(-0.0389646\pi\) |
−0.602005 | + | 0.798492i | \(0.705631\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.261542 | − | 0.00868019i | 0.0105464 | − | 0.000350019i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.79610 | + | 3.20152i | −0.354118 | + | 0.128888i | −0.512953 | − | 0.858417i | \(-0.671448\pi\) |
0.158835 | + | 0.987305i | \(0.449226\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.37563 | − | 7.80157i | −0.0552911 | − | 0.313571i | 0.944602 | − | 0.328219i | \(-0.106448\pi\) |
−0.999893 | + | 0.0146477i | \(0.995337\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.39160 | + | 18.5188i | −0.0558429 | + | 0.743136i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.113583 | + | 0.644160i | 0.00455060 | + | 0.0258077i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 29.0221 | − | 10.5632i | 1.16088 | − | 0.422527i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −30.3979 | − | 48.8347i | −1.21398 | − | 1.95027i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 23.7181 | + | 41.0809i | 0.945701 | + | 1.63800i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.8744 | − | 20.5670i | 0.472711 | − | 0.818759i | −0.526801 | − | 0.849988i | \(-0.676609\pi\) |
0.999512 | + | 0.0312291i | \(0.00994216\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 3.35661 | + | 15.9271i | 0.133413 | + | 0.633045i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.32373 | − | 7.50727i | 0.0525308 | − | 0.297917i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.141521 | + | 0.118750i | −0.00560727 | + | 0.00470506i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −7.82855 | − | 2.27415i | −0.309693 | − | 0.0899639i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.44069 | + | 1.25231i | 0.135899 | + | 0.0494633i | 0.409074 | − | 0.912501i | \(-0.365852\pi\) |
−0.273175 | + | 0.961964i | \(0.588074\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.40157 | − | 7.04976i | −0.331326 | − | 0.278015i | 0.461914 | − | 0.886925i | \(-0.347163\pi\) |
−0.793240 | + | 0.608909i | \(0.791607\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 31.5005 | + | 24.6988i | 1.24033 | + | 0.972513i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 23.9785 | 0.942691 | 0.471346 | − | 0.881949i | \(-0.343768\pi\) | ||||
0.471346 | + | 0.881949i | \(0.343768\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 22.6913 | 0.890712 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.573871 | + | 0.449958i | 0.0224918 | + | 0.0176353i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 20.8792 | + | 17.5197i | 0.817066 | + | 0.685600i | 0.952283 | − | 0.305216i | \(-0.0987287\pi\) |
−0.135217 | + | 0.990816i | \(0.543173\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.7557 | + | 3.91475i | 0.420259 | + | 0.152962i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 31.9449 | − | 30.6359i | 1.24629 | − | 1.19522i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −24.4799 | + | 20.5411i | −0.953602 | + | 0.800167i | −0.979900 | − | 0.199487i | \(-0.936072\pi\) |
0.0262987 | + | 0.999654i | \(0.491628\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.11913 | − | 29.0320i | 0.199111 | − | 1.12922i | −0.707330 | − | 0.706884i | \(-0.750100\pi\) |
0.906441 | − | 0.422332i | \(-0.138788\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.0544855 | + | 0.258533i | 0.00211604 | + | 0.0100406i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.36303 | + | 2.36083i | −0.0528560 | + | 0.0915492i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.337504 | − | 0.584575i | −0.0130682 | − | 0.0226348i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 12.7579 | + | 20.4957i | 0.493249 | + | 0.792410i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −23.9613 | + | 8.72119i | −0.925015 | + | 0.336678i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.96715 | − | 28.1701i | −0.191470 | − | 1.08588i | −0.917357 | − | 0.398065i | \(-0.869682\pi\) |
0.725887 | − | 0.687814i | \(-0.241429\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 15.6316 | + | 3.98370i | 0.601662 | + | 0.153333i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.84630 | + | 21.8134i | 0.147825 | + | 0.838358i | 0.965055 | + | 0.262047i | \(0.0843974\pi\) |
−0.817230 | + | 0.576312i | \(0.804491\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.75234 | + | 0.637799i | −0.0672486 | + | 0.0244765i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −29.9557 | + | 0.994186i | −1.14791 | + | 0.0380973i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.20724 | − | 12.4833i | −0.275777 | − | 0.477660i | 0.694554 | − | 0.719441i | \(-0.255602\pi\) |
−0.970331 | + | 0.241781i | \(0.922269\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.45474 | − | 2.51969i | 0.0555828 | − | 0.0962723i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 14.8062 | − | 13.2853i | 0.564893 | − | 0.506865i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.0637366 | − | 0.361468i | 0.00242817 | − | 0.0137708i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.16578 | − | 1.81731i | 0.0823903 | − | 0.0691337i | −0.600662 | − | 0.799503i | \(-0.705096\pi\) |
0.683053 | + | 0.730369i | \(0.260652\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.37933 | + | 2.06029i | 0.0523965 | + | 0.0782639i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −35.0441 | − | 12.7550i | −1.32930 | − | 0.483825i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.234182 | + | 0.196502i | 0.00887026 | + | 0.00744303i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.77703 | − | 0.714393i | 0.0672135 | − | 0.0270208i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.0227913 | −0.000860816 | −0.000430408 | − | 1.00000i | \(-0.500137\pi\) | ||||
−0.000430408 | 1.00000i | \(0.500137\pi\) | ||||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −51.0837 | −1.92666 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −8.76944 | + | 61.6240i | −0.330276 | + | 2.32089i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.11356 | − | 0.934388i | −0.0418798 | − | 0.0351413i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.89357 | + | 2.87303i | 0.296449 | + | 0.107899i | 0.485963 | − | 0.873979i | \(-0.338469\pi\) |
−0.189514 | + | 0.981878i | \(0.560691\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −13.9125 | + | 6.13663i | −0.521759 | + | 0.230142i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 7.46724 | − | 6.26576i | 0.279650 | − | 0.234654i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0700885 | − | 0.397492i | 0.00262116 | − | 0.0148653i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.05225 | − | 0.670745i | −0.0766427 | − | 0.0250494i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 18.8705 | − | 32.6847i | 0.703753 | − | 1.21894i | −0.263387 | − | 0.964690i | \(-0.584840\pi\) |
0.967140 | − | 0.254245i | \(-0.0818269\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.671964 | + | 1.16388i | 0.0250253 | + | 0.0433450i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 21.7472 | − | 40.7304i | 0.808788 | − | 1.51478i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.550969 | + | 0.200536i | −0.0204625 | + | 0.00744773i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.62408 | + | 43.2383i | 0.282761 | + | 1.60362i | 0.713174 | + | 0.700987i | \(0.247257\pi\) |
−0.430413 | + | 0.902632i | \(0.641632\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −17.8573 | − | 20.2514i | −0.661380 | − | 0.750051i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.12011 | + | 46.0514i | 0.300333 | + | 1.70327i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −41.1023 | + | 14.9600i | −1.51815 | + | 0.552560i | −0.960684 | − | 0.277642i | \(-0.910447\pi\) |
−0.557462 | + | 0.830203i | \(0.688225\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −16.2017 | + | 30.3441i | −0.597607 | + | 1.11926i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −15.9935 | − | 27.7016i | −0.589130 | − | 1.02040i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.73565 | + | 9.93444i | −0.210989 | + | 0.365444i | −0.952024 | − | 0.306022i | \(-0.901002\pi\) |
0.741035 | + | 0.671466i | \(0.234335\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.270450 | − | 0.0883921i | −0.00993523 | − | 0.00324717i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.09070 | + | 6.18567i | −0.0400139 | + | 0.226930i | −0.998256 | − | 0.0590266i | \(-0.981200\pi\) |
0.958242 | + | 0.285957i | \(0.0923114\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.8461 | + | 14.1355i | −0.617192 | + | 0.517885i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 8.51797 | − | 3.75718i | 0.311656 | − | 0.137468i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.0217268 | − | 0.00790792i | −0.000793881 | − | 0.000288949i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.91154 | − | 5.79947i | −0.252206 | − | 0.211626i | 0.507916 | − | 0.861407i | \(-0.330416\pi\) |
−0.760121 | + | 0.649781i | \(0.774861\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −4.27300 | + | 30.0269i | −0.155717 | + | 1.09424i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 42.6718 | 1.55299 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 37.3499 | 1.35751 | 0.678753 | − | 0.734367i | \(-0.262521\pi\) | ||||
0.678753 | + | 0.734367i | \(0.262521\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 30.7502 | − | 12.3620i | 1.11616 | − | 0.448714i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −18.8028 | − | 15.7774i | −0.681601 | − | 0.571931i | 0.234872 | − | 0.972026i | \(-0.424533\pi\) |
−0.916474 | + | 0.400095i | \(0.868977\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.45277 | + | 0.528764i | 0.0525937 | + | 0.0191425i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 27.3684 | + | 40.8798i | 0.989507 | + | 1.47801i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.0859805 | − | 0.0721462i | 0.00310458 | − | 0.00260505i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.87291 | − | 16.2931i | 0.103600 | − | 0.587543i | −0.888171 | − | 0.459514i | \(-0.848024\pi\) |
0.991770 | − | 0.128030i | \(-0.0408652\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −14.6363 | + | 13.1328i | −0.527114 | + | 0.472967i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −9.29539 | + | 16.1001i | −0.334332 | + | 0.579080i | −0.983356 | − | 0.181688i | \(-0.941844\pi\) |
0.649024 | + | 0.760768i | \(0.275177\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.23358 | − | 7.33278i | −0.152075 | − | 0.263401i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.20064 | − | 0.0730358i | 0.0789474 | − | 0.00262014i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.309356 | + | 0.112596i | −0.0110838 | + | 0.00403418i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.52631 | + | 14.3274i | 0.0903985 | + | 0.512675i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.950982 | + | 0.242356i | 0.0339853 | + | 0.00866111i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −11.9697 | − | 67.8833i | −0.427215 | − | 2.42286i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 21.2388 | − | 7.73030i | 0.757082 | − | 0.275555i | 0.0654995 | − | 0.997853i | \(-0.479136\pi\) |
0.691583 | + | 0.722297i | \(0.256914\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −12.0581 | − | 19.3715i | −0.429280 | − | 0.689643i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.07646 | − | 1.86449i | −0.0382747 | − | 0.0662937i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.0630639 | + | 0.109230i | −0.00223946 | + | 0.00387886i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −14.0935 | − | 66.8735i | −0.499845 | − | 2.37176i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 2.87762 | − | 16.3198i | 0.101930 | − | 0.578076i | −0.890472 | − | 0.455039i | \(-0.849625\pi\) |
0.992402 | − | 0.123037i | \(-0.0392635\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −55.7026 | + | 46.7400i | −1.97062 | + | 1.65354i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.17456 | + | 8.79862i | −0.324167 | + | 0.310884i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −74.2249 | − | 27.0157i | −2.61934 | − | 0.953362i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.20318 | − | 1.00958i | −0.0424064 | − | 0.0355832i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 2.05238 | + | 1.60922i | 0.0722473 | + | 0.0566474i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 9.21641 | 0.324032 | 0.162016 | − | 0.986788i | \(-0.448200\pi\) | ||||
0.162016 | + | 0.986788i | \(0.448200\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 33.0857 | 1.16180 | 0.580898 | − | 0.813976i | \(-0.302701\pi\) | ||||
0.580898 | + | 0.813976i | \(0.302701\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −35.0301 | − | 27.4662i | −1.22856 | − | 0.963282i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 29.1212 | + | 24.4356i | 1.02007 | + | 0.855941i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −47.3207 | − | 17.2233i | −1.65554 | − | 0.602567i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.0117771 | + | 0.00342118i | 0.000411525 | + | 0.000119546i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −21.7195 | + | 18.2249i | −0.758017 | + | 0.636052i | −0.937610 | − | 0.347689i | \(-0.886966\pi\) |
0.179593 | + | 0.983741i | \(0.442522\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.223793 | + | 1.26919i | −0.00780092 | + | 0.0442412i | −0.988460 | − | 0.151484i | \(-0.951595\pi\) |
0.980659 | + | 0.195725i | \(0.0627060\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −5.93663 | − | 28.1692i | −0.206687 | − | 0.980726i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.3919 | + | 37.0519i | −0.743870 | + | 1.28842i | 0.206850 | + | 0.978373i | \(0.433679\pi\) |
−0.950721 | + | 0.310049i | \(0.899655\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.1816 | + | 24.5632i | 0.492547 | + | 0.853116i | 0.999963 | − | 0.00858516i | \(-0.00273277\pi\) |
−0.507417 | + | 0.861701i | \(0.669399\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −7.41754 | − | 11.9164i | −0.257312 | − | 0.413375i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −37.7610 | + | 13.7439i | −1.30834 | + | 0.476198i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.56754 | + | 25.9038i | 0.158066 | + | 0.896438i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.06196 | + | 14.1322i | −0.0367069 | + | 0.488481i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0.381436 | + | 2.16323i | 0.0131686 | + | 0.0746830i | 0.990684 | − | 0.136182i | \(-0.0434831\pi\) |
−0.977515 | + | 0.210865i | \(0.932372\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.2176 | − | 9.90638i | 0.938537 | − | 0.341599i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 27.3110 | − | 0.906410i | 0.940639 | − | 0.0312184i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 18.5034 | + | 32.0489i | 0.636537 | + | 1.10251i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.36334 | − | 2.36137i | 0.0468448 | − | 0.0811376i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 20.7266 | − | 18.5975i | 0.711336 | − | 0.638264i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.11085 | − | 28.9851i | 0.175198 | − | 0.993595i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.50247 | + | 2.93892i | −0.119922 | + | 0.100627i | −0.700777 | − | 0.713381i | \(-0.747163\pi\) |
0.580854 | + | 0.814008i | \(0.302719\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −52.8617 | + | 3.51267i | −1.80783 | + | 0.120131i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 21.1746 | + | 7.70694i | 0.723312 | + | 0.263264i | 0.677331 | − | 0.735678i | \(-0.263136\pi\) |
0.0459809 | + | 0.998942i | \(0.485359\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 35.7935 | + | 30.0343i | 1.22126 | + | 1.02476i | 0.998758 | + | 0.0498252i | \(0.0158664\pi\) |
0.222501 | + | 0.974933i | \(0.428578\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.0131657 | − | 0.00529283i | 0.000448687 | − | 0.000180379i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 7.31841 | 0.249122 | 0.124561 | − | 0.992212i | \(-0.460248\pi\) | ||||
0.124561 | + | 0.992212i | \(0.460248\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −73.3814 | −2.49504 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −3.94838 | + | 27.7458i | −0.134094 | + | 0.942296i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 20.7876 | + | 17.4429i | 0.705172 | + | 0.591710i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.148678 | − | 0.0541144i | −0.00503776 | − | 0.00183360i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −29.2454 | − | 21.4030i | −0.989805 | − | 0.724382i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.638127 | − | 0.535452i | 0.0215726 | − | 0.0181016i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −6.19410 | + | 35.1285i | −0.209160 | + | 1.18621i | 0.681598 | + | 0.731727i | \(0.261285\pi\) |
−0.890758 | + | 0.454478i | \(0.849826\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −20.7738 | − | 6.78958i | −0.700683 | − | 0.229007i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.44794 | − | 7.70406i | 0.149855 | − | 0.259556i | −0.781319 | − | 0.624132i | \(-0.785453\pi\) |
0.931174 | + | 0.364576i | \(0.118786\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.3831 | + | 35.3046i | 0.685947 | + | 1.18809i | 0.973138 | + | 0.230221i | \(0.0739451\pi\) |
−0.287192 | + | 0.957873i | \(0.592722\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 9.84324 | − | 18.4354i | 0.330877 | − | 0.619700i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 17.3762 | − | 6.32442i | 0.583436 | − | 0.212353i | −0.0334041 | − | 0.999442i | \(-0.510635\pi\) |
0.616840 | + | 0.787089i | \(0.288413\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.0717789 | − | 0.407079i | −0.00240739 | − | 0.0136530i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −18.3590 | + | 44.5498i | −0.615049 | + | 1.49248i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −13.5977 | − | 77.1163i | −0.455029 | − | 2.58060i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.607540 | − | 0.221127i | 0.0203078 | − | 0.00739145i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.0772121 | − | 0.144611i | 0.00257804 | − | 0.00482841i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.257559 | − | 0.446104i | −0.00859006 | − | 0.0148784i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 39.9189 | − | 69.1416i | 1.32989 | − | 2.30344i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.06315 | + | 0.674307i | 0.0686574 | + | 0.0224395i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −3.75751 | + | 21.3099i | −0.124904 | + | 0.708365i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −21.3031 | + | 17.8754i | −0.707357 | + | 0.593543i | −0.923856 | − | 0.382740i | \(-0.874981\pi\) |
0.216499 | + | 0.976283i | \(0.430536\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 3.05017 | − | 28.0851i | 0.101168 | − | 0.931525i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 27.4572 | + | 9.99359i | 0.909696 | + | 0.331102i | 0.754132 | − | 0.656723i | \(-0.228058\pi\) |
0.155565 | + | 0.987826i | \(0.450280\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.7273 | − | 10.6795i | −0.421213 | − | 0.353439i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.30866 | + | 23.2503i | −0.109381 | + | 0.768633i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.620652 | 0.0204957 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −34.4464 | −1.13628 | −0.568140 | − | 0.822932i | \(-0.692337\pi\) | ||||
−0.568140 | + | 0.822932i | \(0.692337\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 14.8151 | − | 5.95591i | 0.488175 | − | 0.196254i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.0551260 | + | 0.0462562i | 0.00181450 | + | 0.00152254i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −24.0237 | − | 8.74392i | −0.789895 | − | 0.287498i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −11.5305 | + | 23.4349i | −0.378712 | + | 0.769703i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 7.95774 | − | 6.67733i | 0.261085 | − | 0.219076i | −0.502843 | − | 0.864378i | \(-0.667713\pi\) |
0.763928 | + | 0.645301i | \(0.223268\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.51453 | − | 42.6170i | 0.246279 | − | 1.39672i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −38.4299 | + | 34.4822i | −1.25814 | + | 1.12890i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 43.8972 | − | 76.0322i | 1.43559 | − | 2.48652i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 24.9638 | + | 43.2386i | 0.815533 | + | 1.41254i | 0.908945 | + | 0.416917i | \(0.136889\pi\) |
−0.0934120 | + | 0.995628i | \(0.529777\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.7666 | + | 0.423706i | −0.416624 | + | 0.0138271i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 40.0988 | − | 14.5948i | 1.30718 | − | 0.475776i | 0.407853 | − | 0.913047i | \(-0.366277\pi\) |
0.899329 | + | 0.437272i | \(0.144055\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.0329369 | − | 0.186794i | −0.00107257 | − | 0.00608286i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.27221 | − | 0.226900i | 0.0739149 | − | 0.00738106i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0.101817 | + | 0.577431i | 0.00330860 | + | 0.0187640i | 0.986417 | − | 0.164258i | \(-0.0525231\pi\) |
−0.983109 | + | 0.183022i | \(0.941412\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.367144 | + | 0.133629i | −0.0119180 | + | 0.00433779i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −9.38254 | − | 15.0732i | −0.304250 | − | 0.488781i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1.20182 | + | 2.08161i | 0.0389307 | + | 0.0674299i | 0.884834 | − | 0.465906i | \(-0.154272\pi\) |
−0.845904 | + | 0.533336i | \(0.820938\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.95876 | − | 10.3209i | 0.192821 | − | 0.333975i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.361167 | − | 1.71373i | −0.0116749 | − | 0.0553971i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.0273957 | − | 0.155369i | 0.000884653 | − | 0.00501712i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.0489 | + | 15.1449i | −0.582224 | + | 0.488544i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.107195 | − | 0.436365i | −0.00345432 | − | 0.0140617i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.07190 | − | 0.390138i | −0.0345056 | − | 0.0125590i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −14.5185 | − | 12.1825i | −0.466885 | − | 0.391763i | 0.378772 | − | 0.925490i | \(-0.376346\pi\) |
−0.845657 | + | 0.533727i | \(0.820791\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −48.7035 | − | 38.1872i | −1.56458 | − | 1.22675i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 41.3490 | 1.32695 | 0.663476 | − | 0.748197i | \(-0.269080\pi\) | ||||
0.663476 | + | 0.748197i | \(0.269080\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.02220 | −0.0648289 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.112058 | − | 0.0878617i | −0.00358872 | − | 0.00281383i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 27.1804 | + | 22.8070i | 0.869577 | + | 0.729662i | 0.964009 | − | 0.265869i | \(-0.0856590\pi\) |
−0.0944318 | + | 0.995531i | \(0.530103\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.3174 | + | 7.75889i | 0.681306 | + | 0.247975i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 7.16763 | + | 29.1776i | 0.228845 | + | 0.931569i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.64290 | − | 2.21765i | 0.0842954 | − | 0.0707322i | −0.599666 | − | 0.800250i | \(-0.704700\pi\) |
0.683962 | + | 0.729518i | \(0.260256\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.51411 | + | 19.9295i | −0.111969 | + | 0.635006i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.696030 | + | 3.30265i | 0.0221549 | + | 0.105125i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 14.5069 | − | 25.1267i | 0.461293 | − | 0.798984i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.1010 | + | 19.2275i | 0.352636 | + | 0.610783i | 0.986710 | − | 0.162489i | \(-0.0519522\pi\) |
−0.634075 | + | 0.773272i | \(0.718619\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −23.0831 | − | 37.0833i | −0.732520 | − | 1.17680i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −58.4536 | + | 21.2754i | −1.85310 | + | 0.674475i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.06268 | + | 40.0545i | 0.223677 | + | 1.26854i | 0.865197 | + | 0.501431i | \(0.167193\pi\) |
−0.641520 | + | 0.767106i | \(0.721696\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 24.9717 | + | 34.7485i | 0.790071 | + | 1.09940i |
(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 | 216.2.q.b.121.1 | yes | 30 | |
3.2 | odd | 2 | 648.2.q.b.577.1 | 30 | |||
4.3 | odd | 2 | 432.2.u.f.337.5 | 30 | |||
27.2 | odd | 18 | 648.2.q.b.73.1 | 30 | |||
27.5 | odd | 18 | 5832.2.a.l.1.4 | 15 | |||
27.22 | even | 9 | 5832.2.a.k.1.12 | 15 | |||
27.25 | even | 9 | inner | 216.2.q.b.25.1 | ✓ | 30 | |
108.79 | odd | 18 | 432.2.u.f.241.5 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.q.b.25.1 | ✓ | 30 | 27.25 | even | 9 | inner | |
216.2.q.b.121.1 | yes | 30 | 1.1 | even | 1 | trivial | |
432.2.u.f.241.5 | 30 | 108.79 | odd | 18 | |||
432.2.u.f.337.5 | 30 | 4.3 | odd | 2 | |||
648.2.q.b.73.1 | 30 | 27.2 | odd | 18 | |||
648.2.q.b.577.1 | 30 | 3.2 | odd | 2 | |||
5832.2.a.k.1.12 | 15 | 27.22 | even | 9 | |||
5832.2.a.l.1.4 | 15 | 27.5 | odd | 18 |