Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 10.1 | ||
Character | \(\chi\) | \(=\) | 43.10 |
Dual form | 43.6.g.a.13.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.36214 | − | 10.3492i | −0.417571 | − | 1.82950i | −0.546008 | − | 0.837780i | \(-0.683853\pi\) |
0.128437 | − | 0.991718i | \(-0.459004\pi\) | |||||||
\(3\) | −5.75023 | − | 5.33543i | −0.368877 | − | 0.342268i | 0.473853 | − | 0.880604i | \(-0.342863\pi\) |
−0.842730 | + | 0.538336i | \(0.819053\pi\) | |||||||
\(4\) | −72.6953 | + | 35.0082i | −2.27173 | + | 1.09401i | ||||
\(5\) | −7.82578 | + | 1.17955i | −0.139992 | + | 0.0211004i | −0.218664 | − | 0.975800i | \(-0.570170\pi\) |
0.0786725 | + | 0.996901i | \(0.474932\pi\) | |||||||
\(6\) | −41.6347 | + | 72.1133i | −0.472147 | + | 0.817782i | ||||
\(7\) | 62.4925 | + | 108.240i | 0.482039 | + | 0.834917i | 0.999787 | − | 0.0206163i | \(-0.00656285\pi\) |
−0.517748 | + | 0.855533i | \(0.673230\pi\) | |||||||
\(8\) | 322.229 | + | 404.063i | 1.78008 | + | 2.23215i | ||||
\(9\) | −13.5611 | − | 180.961i | −0.0558071 | − | 0.744694i | ||||
\(10\) | 30.6929 | + | 78.2043i | 0.0970596 | + | 0.247304i | ||||
\(11\) | −541.536 | − | 260.790i | −1.34941 | − | 0.649844i | −0.387164 | − | 0.922011i | \(-0.626545\pi\) |
−0.962250 | + | 0.272167i | \(0.912260\pi\) | |||||||
\(12\) | 604.799 | + | 186.556i | 1.21243 | + | 0.373986i | ||||
\(13\) | −238.584 | + | 607.902i | −0.391546 | + | 0.997643i | 0.590168 | + | 0.807281i | \(0.299062\pi\) |
−0.981714 | + | 0.190363i | \(0.939034\pi\) | |||||||
\(14\) | 972.583 | − | 902.425i | 1.32619 | − | 1.23053i | ||||
\(15\) | 51.2934 | + | 34.9713i | 0.0588618 | + | 0.0401313i | ||||
\(16\) | 1810.76 | − | 2270.63i | 1.76832 | − | 2.21741i | ||||
\(17\) | 1356.50 | + | 204.460i | 1.13841 | + | 0.171587i | 0.691077 | − | 0.722782i | \(-0.257137\pi\) |
0.447330 | + | 0.894369i | \(0.352375\pi\) | |||||||
\(18\) | −1840.76 | + | 567.801i | −1.33911 | + | 0.413061i | ||||
\(19\) | −107.850 | + | 1439.16i | −0.0685388 | + | 0.914586i | 0.851901 | + | 0.523702i | \(0.175450\pi\) |
−0.920440 | + | 0.390884i | \(0.872169\pi\) | |||||||
\(20\) | 527.604 | − | 359.714i | 0.294939 | − | 0.201086i | ||||
\(21\) | 218.162 | − | 955.830i | 0.107952 | − | 0.472969i | ||||
\(22\) | −1419.78 | + | 6220.48i | −0.625412 | + | 2.74011i | ||||
\(23\) | 420.174 | − | 286.470i | 0.165619 | − | 0.112917i | −0.477674 | − | 0.878537i | \(-0.658520\pi\) |
0.643293 | + | 0.765620i | \(0.277568\pi\) | |||||||
\(24\) | 302.958 | − | 4042.69i | 0.107363 | − | 1.43266i | ||||
\(25\) | −2926.31 | + | 902.648i | −0.936420 | + | 0.288847i | ||||
\(26\) | 6854.87 | + | 1033.21i | 1.98868 | + | 0.299746i | ||||
\(27\) | −2075.99 | + | 2603.21i | −0.548044 | + | 0.687225i | ||||
\(28\) | −8332.20 | − | 5680.80i | −2.00847 | − | 1.36935i | ||||
\(29\) | −3272.35 | + | 3036.30i | −0.722545 | + | 0.670423i | −0.953107 | − | 0.302634i | \(-0.902134\pi\) |
0.230562 | + | 0.973058i | \(0.425943\pi\) | |||||||
\(30\) | 240.763 | − | 613.453i | 0.0488412 | − | 0.124445i | ||||
\(31\) | −2359.18 | − | 727.712i | −0.440918 | − | 0.136005i | 0.0663446 | − | 0.997797i | \(-0.478866\pi\) |
−0.507262 | + | 0.861792i | \(0.669343\pi\) | |||||||
\(32\) | −12876.1 | − | 6200.82i | −2.22285 | − | 1.07047i | ||||
\(33\) | 1722.53 | + | 4388.93i | 0.275348 | + | 0.701574i | ||||
\(34\) | −1088.25 | − | 14521.7i | −0.161447 | − | 2.15436i | ||||
\(35\) | −616.727 | − | 773.351i | −0.0850986 | − | 0.106710i | ||||
\(36\) | 7320.94 | + | 12680.2i | 0.941479 | + | 1.63069i | ||||
\(37\) | −4376.92 | + | 7581.05i | −0.525611 | + | 0.910385i | 0.473944 | + | 0.880555i | \(0.342830\pi\) |
−0.999555 | + | 0.0298299i | \(0.990503\pi\) | |||||||
\(38\) | 15148.9 | − | 2283.33i | 1.70185 | − | 0.256513i | ||||
\(39\) | 4615.33 | − | 2222.63i | 0.485894 | − | 0.233994i | ||||
\(40\) | −2998.31 | − | 2782.02i | −0.296296 | − | 0.274923i | ||||
\(41\) | −311.934 | − | 1366.67i | −0.0289803 | − | 0.126971i | 0.958369 | − | 0.285534i | \(-0.0921710\pi\) |
−0.987349 | + | 0.158563i | \(0.949314\pi\) | |||||||
\(42\) | −10407.4 | −0.910373 | ||||||||
\(43\) | −7680.21 | − | 9382.05i | −0.633435 | − | 0.773796i | ||||
\(44\) | 48496.9 | 3.77644 | ||||||||
\(45\) | 319.578 | + | 1400.16i | 0.0235258 | + | 0.103073i | ||||
\(46\) | −3957.25 | − | 3671.79i | −0.275739 | − | 0.255849i | ||||
\(47\) | −4610.57 | + | 2220.34i | −0.304446 | + | 0.146614i | −0.579869 | − | 0.814710i | \(-0.696896\pi\) |
0.275423 | + | 0.961323i | \(0.411182\pi\) | |||||||
\(48\) | −22527.1 | + | 3395.41i | −1.41124 | + | 0.212711i | ||||
\(49\) | 592.883 | − | 1026.90i | 0.0352759 | − | 0.0610997i | ||||
\(50\) | 16254.0 | + | 28152.8i | 0.919468 | + | 1.59256i | ||||
\(51\) | −6709.31 | − | 8413.21i | −0.361204 | − | 0.452935i | ||||
\(52\) | −3937.63 | − | 52544.0i | −0.201942 | − | 2.69473i | ||||
\(53\) | −12396.1 | − | 31584.8i | −0.606173 | − | 1.54450i | −0.822850 | − | 0.568259i | \(-0.807617\pi\) |
0.216677 | − | 0.976243i | \(-0.430478\pi\) | |||||||
\(54\) | 31844.9 | + | 15335.7i | 1.48612 | + | 0.715680i | ||||
\(55\) | 4545.55 | + | 1402.12i | 0.202619 | + | 0.0624997i | ||||
\(56\) | −23598.9 | + | 60129.1i | −1.00559 | + | 2.56221i | ||||
\(57\) | 8298.70 | − | 7700.07i | 0.338316 | − | 0.313912i | ||||
\(58\) | 39153.0 | + | 26694.1i | 1.52825 | + | 1.04194i | ||||
\(59\) | −19415.9 | + | 24346.7i | −0.726151 | + | 0.910565i | −0.998669 | − | 0.0515859i | \(-0.983572\pi\) |
0.272517 | + | 0.962151i | \(0.412144\pi\) | |||||||
\(60\) | −4953.07 | − | 746.556i | −0.177622 | − | 0.0267722i | ||||
\(61\) | −6595.23 | + | 2034.36i | −0.226937 | + | 0.0700008i | −0.406138 | − | 0.913812i | \(-0.633125\pi\) |
0.179201 | + | 0.983812i | \(0.442649\pi\) | |||||||
\(62\) | −1958.52 | + | 26134.6i | −0.0647066 | + | 0.863450i | ||||
\(63\) | 18739.7 | − | 12776.5i | 0.594856 | − | 0.405566i | ||||
\(64\) | −13078.2 | + | 57299.3i | −0.399115 | + | 1.74864i | ||||
\(65\) | 1150.06 | − | 5038.73i | 0.0337626 | − | 0.147924i | ||||
\(66\) | 41353.1 | − | 28194.0i | 1.16855 | − | 0.796705i | ||||
\(67\) | −4500.74 | + | 60058.2i | −0.122489 | + | 1.63450i | 0.510172 | + | 0.860073i | \(0.329582\pi\) |
−0.632661 | + | 0.774429i | \(0.718037\pi\) | |||||||
\(68\) | −105769. | + | 32625.4i | −2.77387 | + | 0.855625i | ||||
\(69\) | −3944.54 | − | 594.544i | −0.0997410 | − | 0.0150335i | ||||
\(70\) | −6546.77 | + | 8209.39i | −0.159692 | + | 0.200247i | ||||
\(71\) | −40715.9 | − | 27759.7i | −0.958558 | − | 0.653534i | −0.0204187 | − | 0.999792i | \(-0.506500\pi\) |
−0.938139 | + | 0.346258i | \(0.887452\pi\) | |||||||
\(72\) | 68749.7 | − | 63790.4i | 1.56293 | − | 1.45019i | ||||
\(73\) | 31246.6 | − | 79615.0i | 0.686270 | − | 1.74859i | 0.0235483 | − | 0.999723i | \(-0.492504\pi\) |
0.662722 | − | 0.748865i | \(-0.269401\pi\) | |||||||
\(74\) | 88796.7 | + | 27390.2i | 1.88503 | + | 0.581454i | ||||
\(75\) | 21643.0 | + | 10422.7i | 0.444288 | + | 0.213958i | ||||
\(76\) | −42542.2 | − | 108396.i | −0.844862 | − | 2.15267i | ||||
\(77\) | −5613.98 | − | 74913.3i | −0.107906 | − | 1.43990i | ||||
\(78\) | −33904.5 | − | 42514.9i | −0.630987 | − | 0.791233i | ||||
\(79\) | −32407.5 | − | 56131.4i | −0.584222 | − | 1.01190i | −0.994972 | − | 0.100154i | \(-0.968066\pi\) |
0.410750 | − | 0.911748i | \(-0.365267\pi\) | |||||||
\(80\) | −11492.3 | + | 19905.3i | −0.200763 | + | 0.347731i | ||||
\(81\) | −17777.6 | + | 2679.54i | −0.301064 | + | 0.0453782i | ||||
\(82\) | −13407.1 | + | 6456.53i | −0.220192 | + | 0.106039i | ||||
\(83\) | 59256.0 | + | 54981.5i | 0.944141 | + | 0.876035i | 0.992432 | − | 0.122798i | \(-0.0391868\pi\) |
−0.0482904 | + | 0.998833i | \(0.515377\pi\) | |||||||
\(84\) | 17602.6 | + | 77121.8i | 0.272193 | + | 1.19256i | ||||
\(85\) | −10856.8 | −0.162988 | ||||||||
\(86\) | −78955.0 | + | 101646.i | −1.15115 | + | 1.48198i | ||||
\(87\) | 35016.7 | 0.495995 | ||||||||
\(88\) | −69123.2 | − | 302849.i | −0.951519 | − | 4.16888i | ||||
\(89\) | 69547.7 | + | 64530.9i | 0.930696 | + | 0.863560i | 0.990896 | − | 0.134627i | \(-0.0429835\pi\) |
−0.0602003 | + | 0.998186i | \(0.519174\pi\) | |||||||
\(90\) | 13735.7 | − | 6614.75i | 0.178749 | − | 0.0860810i | ||||
\(91\) | −80709.1 | + | 12164.9i | −1.02169 | + | 0.153995i | ||||
\(92\) | −20515.9 | + | 35534.6i | −0.252709 | + | 0.437705i | ||||
\(93\) | 9683.20 | + | 16771.8i | 0.116094 | + | 0.201081i | ||||
\(94\) | 33869.5 | + | 42471.0i | 0.395357 | + | 0.495762i | ||||
\(95\) | −853.544 | − | 11389.8i | −0.00970324 | − | 0.129481i | ||||
\(96\) | 40956.7 | + | 104356.i | 0.453572 | + | 1.15568i | ||||
\(97\) | 132008. | + | 63571.5i | 1.42452 | + | 0.686014i | 0.977971 | − | 0.208743i | \(-0.0669371\pi\) |
0.446553 | + | 0.894757i | \(0.352651\pi\) | |||||||
\(98\) | −12028.1 | − | 3710.18i | −0.126512 | − | 0.0390238i | ||||
\(99\) | −39848.8 | + | 101533.i | −0.408628 | + | 1.04117i | ||||
\(100\) | 181129. | − | 168063.i | 1.81129 | − | 1.68063i | ||||
\(101\) | −11388.3 | − | 7764.39i | −0.111085 | − | 0.0757362i | 0.506503 | − | 0.862238i | \(-0.330938\pi\) |
−0.617588 | + | 0.786502i | \(0.711890\pi\) | |||||||
\(102\) | −71221.7 | + | 89309.1i | −0.677816 | + | 0.849954i | ||||
\(103\) | −198247. | − | 29881.0i | −1.84126 | − | 0.277525i | −0.866234 | − | 0.499638i | \(-0.833466\pi\) |
−0.975021 | + | 0.222114i | \(0.928704\pi\) | |||||||
\(104\) | −322510. | + | 99481.0i | −2.92388 | + | 0.901897i | ||||
\(105\) | −579.842 | + | 7737.45i | −0.00513258 | + | 0.0684896i | ||||
\(106\) | −297596. | + | 202898.i | −2.57254 | + | 1.75393i | ||||
\(107\) | 6098.51 | − | 26719.3i | 0.0514949 | − | 0.225614i | −0.942632 | − | 0.333833i | \(-0.891658\pi\) |
0.994127 | + | 0.108219i | \(0.0345149\pi\) | |||||||
\(108\) | 59781.0 | − | 261918.i | 0.493178 | − | 2.16075i | ||||
\(109\) | −26851.8 | + | 18307.3i | −0.216475 | + | 0.147590i | −0.666703 | − | 0.745324i | \(-0.732295\pi\) |
0.450228 | + | 0.892914i | \(0.351343\pi\) | |||||||
\(110\) | 3773.57 | − | 50354.8i | 0.0297352 | − | 0.396789i | ||||
\(111\) | 65616.5 | − | 20240.0i | 0.505482 | − | 0.155920i | ||||
\(112\) | 358932. | + | 54100.3i | 2.70375 | + | 0.407525i | ||||
\(113\) | −61241.2 | + | 76794.1i | −0.451178 | + | 0.565759i | −0.954451 | − | 0.298368i | \(-0.903558\pi\) |
0.503273 | + | 0.864128i | \(0.332129\pi\) | |||||||
\(114\) | −99292.2 | − | 67696.3i | −0.715572 | − | 0.487868i | ||||
\(115\) | −2950.29 | + | 2737.47i | −0.0208027 | + | 0.0193021i | ||||
\(116\) | 131589. | − | 335284.i | 0.907977 | − | 2.31349i | ||||
\(117\) | 113242. | + | 34930.5i | 0.764790 | + | 0.235906i | ||||
\(118\) | 297832. | + | 143429.i | 1.96910 | + | 0.948267i | ||||
\(119\) | 62640.3 | + | 159605.i | 0.405496 | + | 1.03319i | ||||
\(120\) | 2397.66 | + | 31994.6i | 0.0151997 | + | 0.202826i | ||||
\(121\) | 124836. | + | 156539.i | 0.775133 | + | 0.971986i | ||||
\(122\) | 36632.9 | + | 63450.0i | 0.222829 | + | 0.385951i | ||||
\(123\) | −5498.09 | + | 9522.97i | −0.0327679 | + | 0.0567557i | ||||
\(124\) | 196978. | − | 29689.6i | 1.15044 | − | 0.173400i | ||||
\(125\) | 44118.6 | − | 21246.4i | 0.252549 | − | 0.121621i | ||||
\(126\) | −176493. | − | 163761.i | −0.990377 | − | 0.918935i | ||||
\(127\) | −47094.1 | − | 206333.i | −0.259094 | − | 1.13517i | −0.922222 | − | 0.386660i | \(-0.873629\pi\) |
0.663128 | − | 0.748506i | \(-0.269228\pi\) | |||||||
\(128\) | 166569. | 0.898605 | ||||||||
\(129\) | −5894.33 | + | 94926.2i | −0.0311861 | + | 0.502241i | ||||
\(130\) | −54863.4 | −0.284724 | ||||||||
\(131\) | 25389.7 | + | 111240.i | 0.129264 | + | 0.566345i | 0.997530 | + | 0.0702446i | \(0.0223780\pi\) |
−0.868265 | + | 0.496100i | \(0.834765\pi\) | |||||||
\(132\) | −278868. | − | 258752.i | −1.39304 | − | 1.29255i | ||||
\(133\) | −162515. | + | 78262.9i | −0.796642 | + | 0.383642i | ||||
\(134\) | 632186. | − | 95286.7i | 3.04147 | − | 0.458427i | ||||
\(135\) | 13175.6 | − | 22820.8i | 0.0622210 | − | 0.107770i | ||||
\(136\) | 354490. | + | 613994.i | 1.64345 | + | 2.84654i | ||||
\(137\) | −229625. | − | 287941.i | −1.04525 | − | 1.31070i | −0.948978 | − | 0.315342i | \(-0.897881\pi\) |
−0.0962683 | − | 0.995355i | \(-0.530691\pi\) | |||||||
\(138\) | 3164.49 | + | 42227.2i | 0.0141451 | + | 0.188754i | ||||
\(139\) | 17751.8 | + | 45230.8i | 0.0779301 | + | 0.198563i | 0.964529 | − | 0.263976i | \(-0.0850339\pi\) |
−0.886599 | + | 0.462539i | \(0.846939\pi\) | |||||||
\(140\) | 71906.8 | + | 34628.5i | 0.310063 | + | 0.149318i | ||||
\(141\) | 38358.3 | + | 11832.0i | 0.162484 | + | 0.0501198i | ||||
\(142\) | −191114. | + | 486950.i | −0.795373 | + | 2.02658i | ||||
\(143\) | 287736. | − | 266980.i | 1.17667 | − | 1.09179i | ||||
\(144\) | −435450. | − | 296885.i | −1.74998 | − | 1.19311i | ||||
\(145\) | 22027.2 | − | 27621.3i | 0.0870041 | − | 0.109100i | ||||
\(146\) | −897760. | − | 135316.i | −3.48561 | − | 0.525370i | ||||
\(147\) | −8888.18 | + | 2741.64i | −0.0339250 | + | 0.0104645i | ||||
\(148\) | 52782.6 | − | 704335.i | 0.198078 | − | 2.64317i | ||||
\(149\) | 376590. | − | 256755.i | 1.38964 | − | 0.947443i | 0.389998 | − | 0.920816i | \(-0.372476\pi\) |
0.999645 | − | 0.0266268i | \(-0.00847658\pi\) | |||||||
\(150\) | 56743.1 | − | 248608.i | 0.205913 | − | 0.902166i | ||||
\(151\) | −23348.4 | + | 102296.i | −0.0833326 | + | 0.365104i | −0.999351 | − | 0.0360332i | \(-0.988528\pi\) |
0.916018 | + | 0.401137i | \(0.131385\pi\) | |||||||
\(152\) | −616263. | + | 420161.i | −2.16350 | + | 1.47505i | ||||
\(153\) | 18603.4 | − | 248246.i | 0.0642488 | − | 0.857340i | ||||
\(154\) | −762032. | + | 235056.i | −2.58923 | + | 0.798673i | ||||
\(155\) | 19320.8 | + | 2912.15i | 0.0645947 | + | 0.00973608i | ||||
\(156\) | −257703. | + | 323149.i | −0.847828 | + | 1.06314i | ||||
\(157\) | 301454. | + | 205528.i | 0.976049 | + | 0.665459i | 0.942580 | − | 0.333981i | \(-0.108392\pi\) |
0.0334690 | + | 0.999440i | \(0.489344\pi\) | |||||||
\(158\) | −504365. | + | 467982.i | −1.60732 | + | 1.49137i | ||||
\(159\) | −97238.1 | + | 247759.i | −0.305031 | + | 0.777206i | ||||
\(160\) | 108080. | + | 33338.2i | 0.333768 | + | 0.102954i | ||||
\(161\) | 57265.3 | + | 27577.5i | 0.174111 | + | 0.0838475i | ||||
\(162\) | 69724.1 | + | 177654.i | 0.208735 | + | 0.531848i | ||||
\(163\) | −3774.71 | − | 50370.1i | −0.0111279 | − | 0.148492i | 0.988872 | − | 0.148769i | \(-0.0475310\pi\) |
−1.00000 | 0.000276602i | \(0.999912\pi\) | ||||||||
\(164\) | 70520.8 | + | 88430.3i | 0.204742 | + | 0.256739i | ||||
\(165\) | −18657.1 | − | 32315.0i | −0.0533499 | − | 0.0924047i | ||||
\(166\) | 429044. | − | 743126.i | 1.20846 | − | 2.09311i | ||||
\(167\) | −397492. | + | 59912.3i | −1.10290 | + | 0.166236i | −0.675165 | − | 0.737667i | \(-0.735928\pi\) |
−0.427738 | + | 0.903903i | \(0.640689\pi\) | |||||||
\(168\) | 456514. | − | 219845.i | 1.24790 | − | 0.600958i | ||||
\(169\) | −40445.7 | − | 37528.1i | −0.108932 | − | 0.101074i | ||||
\(170\) | 25645.4 | + | 112360.i | 0.0680591 | + | 0.298187i | ||||
\(171\) | 261894. | 0.684912 | ||||||||
\(172\) | 886764. | + | 413161.i | 2.28553 | + | 1.06487i | ||||
\(173\) | 589106. | 1.49651 | 0.748253 | − | 0.663414i | \(-0.230893\pi\) | ||||
0.748253 | + | 0.663414i | \(0.230893\pi\) | |||||||
\(174\) | −82714.3 | − | 362395.i | −0.207113 | − | 0.907422i | ||||
\(175\) | −280575. | − | 260336.i | −0.692555 | − | 0.642597i | ||||
\(176\) | −1.57275e6 | + | 757396.i | −3.82717 | + | 1.84307i | ||||
\(177\) | 241546. | − | 36407.2i | 0.579518 | − | 0.0873483i | ||||
\(178\) | 503562. | − | 872194.i | 1.19125 | − | 2.06330i | ||||
\(179\) | 97367.4 | + | 168645.i | 0.227133 | + | 0.393407i | 0.956957 | − | 0.290228i | \(-0.0937313\pi\) |
−0.729824 | + | 0.683635i | \(0.760398\pi\) | |||||||
\(180\) | −72249.0 | − | 90597.3i | −0.166207 | − | 0.208418i | ||||
\(181\) | −24823.9 | − | 331252.i | −0.0563215 | − | 0.751558i | −0.951852 | − | 0.306558i | \(-0.900823\pi\) |
0.895531 | − | 0.445000i | \(-0.146796\pi\) | |||||||
\(182\) | 316544. | + | 806540.i | 0.708362 | + | 1.80488i | ||||
\(183\) | 48778.3 | + | 23490.4i | 0.107671 | + | 0.0518516i | ||||
\(184\) | 251144. | + | 77467.8i | 0.546864 | + | 0.168685i | ||||
\(185\) | 25310.6 | − | 64490.4i | 0.0543718 | − | 0.138537i | ||||
\(186\) | 150702. | − | 139831.i | 0.319400 | − | 0.296360i | ||||
\(187\) | −681272. | − | 464484.i | −1.42468 | − | 0.971329i | ||||
\(188\) | 257437. | − | 322816.i | 0.531223 | − | 0.666132i | ||||
\(189\) | −411505. | − | 62024.4i | −0.837955 | − | 0.126301i | ||||
\(190\) | −115859. | + | 35737.7i | −0.232833 | + | 0.0718195i | ||||
\(191\) | −7812.78 | + | 104254.i | −0.0154961 | + | 0.206781i | 0.984081 | + | 0.177718i | \(0.0568714\pi\) |
−0.999578 | + | 0.0290631i | \(0.990748\pi\) | |||||||
\(192\) | 380919. | − | 259706.i | 0.745727 | − | 0.508428i | ||||
\(193\) | −29642.0 | + | 129870.i | −0.0572815 | + | 0.250967i | −0.995459 | − | 0.0951866i | \(-0.969655\pi\) |
0.938178 | + | 0.346153i | \(0.112512\pi\) | |||||||
\(194\) | 346094. | − | 1.51634e6i | 0.660222 | − | 2.89262i | ||||
\(195\) | −33496.9 | + | 22837.8i | −0.0630838 | + | 0.0430098i | ||||
\(196\) | −7149.75 | + | 95406.8i | −0.0132938 | + | 0.177394i | ||||
\(197\) | −32445.5 | + | 10008.1i | −0.0595648 | + | 0.0183733i | −0.324394 | − | 0.945922i | \(-0.605160\pi\) |
0.264830 | + | 0.964295i | \(0.414684\pi\) | |||||||
\(198\) | 1.14492e6 | + | 172568.i | 2.07544 | + | 0.312823i | ||||
\(199\) | −287983. | + | 361120.i | −0.515507 | + | 0.646425i | −0.969648 | − | 0.244504i | \(-0.921375\pi\) |
0.454141 | + | 0.890930i | \(0.349946\pi\) | |||||||
\(200\) | −1.30767e6 | − | 891555.i | −2.31166 | − | 1.57606i | ||||
\(201\) | 346317. | − | 321335.i | 0.604621 | − | 0.561007i | ||||
\(202\) | −53454.6 | + | 136200.i | −0.0921736 | + | 0.234854i | ||||
\(203\) | −533146. | − | 164454.i | −0.908043 | − | 0.280094i | ||||
\(204\) | 782267. | + | 376720.i | 1.31607 | + | 0.633786i | ||||
\(205\) | 4053.18 | + | 10327.3i | 0.00673614 | + | 0.0171634i | ||||
\(206\) | 159043. | + | 2.12228e6i | 0.261124 | + | 3.48446i | ||||
\(207\) | −57537.8 | − | 72150.1i | −0.0933313 | − | 0.117034i | ||||
\(208\) | 948300. | + | 1.64250e6i | 1.51980 | + | 2.63238i | ||||
\(209\) | 433723. | − | 751229.i | 0.686825 | − | 1.18962i | ||||
\(210\) | 81446.1 | − | 12276.0i | 0.127445 | − | 0.0192092i | ||||
\(211\) | −91049.1 | + | 43846.9i | −0.140789 | + | 0.0678005i | −0.502952 | − | 0.864314i | \(-0.667753\pi\) |
0.362163 | + | 0.932115i | \(0.382038\pi\) | |||||||
\(212\) | 2.00687e6 | + | 1.86210e6i | 3.06676 | + | 2.84553i | ||||
\(213\) | 86016.2 | + | 376862.i | 0.129907 | + | 0.569158i | ||||
\(214\) | −290929. | −0.434263 | ||||||||
\(215\) | 71170.2 | + | 64362.7i | 0.105003 | + | 0.0949594i | ||||
\(216\) | −1.72080e6 | −2.50956 | ||||||||
\(217\) | −68663.6 | − | 300835.i | −0.0989868 | − | 0.433690i | ||||
\(218\) | 252893. | + | 234651.i | 0.360409 | + | 0.334411i | ||||
\(219\) | −604455. | + | 291090.i | −0.851636 | + | 0.410126i | ||||
\(220\) | −379526. | + | 57204.3i | −0.528670 | + | 0.0796842i | ||||
\(221\) | −447931. | + | 775839.i | −0.616922 | + | 1.06854i | ||||
\(222\) | −364463. | − | 631269.i | −0.496331 | − | 0.859670i | ||||
\(223\) | −58011.6 | − | 72744.2i | −0.0781182 | − | 0.0979572i | 0.741237 | − | 0.671244i | \(-0.234240\pi\) |
−0.819355 | + | 0.573287i | \(0.805668\pi\) | |||||||
\(224\) | −133484. | − | 1.78122e6i | −0.177750 | − | 2.37190i | ||||
\(225\) | 203028. | + | 517306.i | 0.267362 | + | 0.681227i | ||||
\(226\) | 939418. | + | 452400.i | 1.22345 | + | 0.589184i | ||||
\(227\) | −39805.2 | − | 12278.3i | −0.0512714 | − | 0.0158151i | 0.269013 | − | 0.963136i | \(-0.413302\pi\) |
−0.320285 | + | 0.947321i | \(0.603779\pi\) | |||||||
\(228\) | −333711. | + | 850281.i | −0.425141 | + | 1.08324i | ||||
\(229\) | −355513. | + | 329867.i | −0.447988 | + | 0.415672i | −0.871635 | − | 0.490155i | \(-0.836940\pi\) |
0.423647 | + | 0.905827i | \(0.360750\pi\) | |||||||
\(230\) | 35299.6 | + | 24066.8i | 0.0439997 | + | 0.0299985i | ||||
\(231\) | −367413. | + | 460722.i | −0.453028 | + | 0.568079i | ||||
\(232\) | −2.28130e6 | − | 343851.i | −2.78268 | − | 0.419421i | ||||
\(233\) | −747248. | + | 230495.i | −0.901726 | + | 0.278146i | −0.710746 | − | 0.703448i | \(-0.751643\pi\) |
−0.190980 | + | 0.981594i | \(0.561166\pi\) | |||||||
\(234\) | 94009.7 | − | 1.25447e6i | 0.112236 | − | 1.49769i | ||||
\(235\) | 33462.4 | − | 22814.2i | 0.0395264 | − | 0.0269486i | ||||
\(236\) | 559108. | − | 2.44961e6i | 0.653454 | − | 2.86297i | ||||
\(237\) | −113135. | + | 495677.i | −0.130836 | + | 0.573228i | ||||
\(238\) | 1.50382e6 | − | 1.02529e6i | 1.72089 | − | 1.17328i | ||||
\(239\) | −4758.81 | + | 63502.0i | −0.00538895 | + | 0.0719105i | −0.999250 | − | 0.0387262i | \(-0.987670\pi\) |
0.993861 | + | 0.110637i | \(0.0352890\pi\) | |||||||
\(240\) | 172287. | − | 53143.5i | 0.193074 | − | 0.0595555i | ||||
\(241\) | 2033.68 | + | 306.527i | 0.00225548 | + | 0.000339959i | 0.150170 | − | 0.988660i | \(-0.452018\pi\) |
−0.147914 | + | 0.989000i | \(0.547256\pi\) | |||||||
\(242\) | 1.32518e6 | − | 1.66172e6i | 1.45457 | − | 1.82398i | ||||
\(243\) | 785031. | + | 535225.i | 0.852847 | + | 0.581461i | ||||
\(244\) | 408223. | − | 378776.i | 0.438958 | − | 0.407294i | ||||
\(245\) | −3428.49 | + | 8735.65i | −0.00364912 | + | 0.00929779i | ||||
\(246\) | 111542. | + | 34406.3i | 0.117517 | + | 0.0362493i | ||||
\(247\) | −849136. | − | 408922.i | −0.885595 | − | 0.426480i | ||||
\(248\) | −466157. | − | 1.18775e6i | −0.481286 | − | 1.22630i | ||||
\(249\) | −47385.3 | − | 632313.i | −0.0484334 | − | 0.646299i | ||||
\(250\) | −324097. | − | 406405.i | −0.327963 | − | 0.411253i | ||||
\(251\) | 167656. | + | 290389.i | 0.167971 | + | 0.290935i | 0.937707 | − | 0.347428i | \(-0.112945\pi\) |
−0.769735 | + | 0.638363i | \(0.779612\pi\) | |||||||
\(252\) | −915007. | + | 1.58484e6i | −0.907660 | + | 1.57211i | ||||
\(253\) | −302248. | + | 45556.5i | −0.296867 | + | 0.0447455i | ||||
\(254\) | −2.02414e6 | + | 974774.i | −1.96859 | + | 0.948024i | ||||
\(255\) | 62429.3 | + | 57926.0i | 0.0601227 | + | 0.0557857i | ||||
\(256\) | 25043.5 | + | 109723.i | 0.0238833 | + | 0.104640i | ||||
\(257\) | 754631. | 0.712692 | 0.356346 | − | 0.934354i | \(-0.384023\pi\) | ||||
0.356346 | + | 0.934354i | \(0.384023\pi\) | |||||||
\(258\) | 996334. | − | 163227.i | 0.931870 | − | 0.152666i | ||||
\(259\) | −1.09410e6 | −1.01346 | ||||||||
\(260\) | 92793.2 | + | 406553.i | 0.0851300 | + | 0.372979i | ||||
\(261\) | 593827. | + | 550991.i | 0.539583 | + | 0.500660i | ||||
\(262\) | 1.09127e6 | − | 525526.i | 0.982149 | − | 0.472978i | ||||
\(263\) | −229830. | + | 34641.2i | −0.204888 | + | 0.0308819i | −0.250684 | − | 0.968069i | \(-0.580656\pi\) |
0.0457962 | + | 0.998951i | \(0.485418\pi\) | |||||||
\(264\) | −1.21835e6 | + | 2.11025e6i | −1.07588 | + | 1.86348i | ||||
\(265\) | 134265. | + | 232554.i | 0.117449 | + | 0.203427i | ||||
\(266\) | 1.19384e6 | + | 1.49703e6i | 1.03453 | + | 1.29726i | ||||
\(267\) | −55615.3 | − | 742135.i | −0.0477437 | − | 0.637095i | ||||
\(268\) | −1.77535e6 | − | 4.52351e6i | −1.50989 | − | 3.84715i | ||||
\(269\) | 506259. | + | 243802.i | 0.426572 | + | 0.205426i | 0.634837 | − | 0.772646i | \(-0.281067\pi\) |
−0.208265 | + | 0.978072i | \(0.566782\pi\) | |||||||
\(270\) | −267300. | − | 82451.2i | −0.223146 | − | 0.0688316i | ||||
\(271\) | −315888. | + | 804868.i | −0.261282 | + | 0.665735i | −0.999965 | − | 0.00831702i | \(-0.997353\pi\) |
0.738684 | + | 0.674052i | \(0.235448\pi\) | |||||||
\(272\) | 2.92055e6 | − | 2.70988e6i | 2.39355 | − | 2.22089i | ||||
\(273\) | 529001. | + | 360667.i | 0.429586 | + | 0.292887i | ||||
\(274\) | −2.43756e6 | + | 3.05660e6i | −1.96145 | + | 2.45959i | ||||
\(275\) | 1.82010e6 | + | 274337.i | 1.45132 | + | 0.218752i | ||||
\(276\) | 307564. | − | 94870.8i | 0.243031 | − | 0.0749652i | ||||
\(277\) | 146313. | − | 1.95241e6i | 0.114573 | − | 1.52887i | −0.583066 | − | 0.812425i | \(-0.698147\pi\) |
0.697639 | − | 0.716449i | \(-0.254234\pi\) | |||||||
\(278\) | 426171. | − | 290558.i | 0.330729 | − | 0.225487i | ||||
\(279\) | −99694.0 | + | 436788.i | −0.0766758 | + | 0.335939i | ||||
\(280\) | 113755. | − | 498393.i | 0.0867112 | − | 0.379906i | ||||
\(281\) | 626690. | − | 427270.i | 0.473464 | − | 0.322802i | −0.302971 | − | 0.953000i | \(-0.597978\pi\) |
0.776435 | + | 0.630198i | \(0.217026\pi\) | |||||||
\(282\) | 31843.9 | − | 424927.i | 0.0238453 | − | 0.318194i | ||||
\(283\) | −1.96801e6 | + | 607049.i | −1.46070 | + | 0.450565i | −0.920423 | − | 0.390924i | \(-0.872156\pi\) |
−0.540274 | + | 0.841489i | \(0.681679\pi\) | |||||||
\(284\) | 3.93167e6 | + | 592604.i | 2.89255 | + | 0.435982i | ||||
\(285\) | −55861.2 | + | 70047.7i | −0.0407378 | + | 0.0510836i | ||||
\(286\) | −3.44271e6 | − | 2.34720e6i | −2.48877 | − | 1.69682i | ||||
\(287\) | 128435. | − | 119170.i | 0.0920405 | − | 0.0854011i | ||||
\(288\) | −947489. | + | 2.41416e6i | −0.673121 | + | 1.71508i | ||||
\(289\) | 441512. | + | 136188.i | 0.310955 | + | 0.0959170i | ||||
\(290\) | −337890. | − | 162719.i | −0.235928 | − | 0.113617i | ||||
\(291\) | −419893. | − | 1.06987e6i | −0.290674 | − | 0.740624i | ||||
\(292\) | 515699. | + | 6.88152e6i | 0.353948 | + | 4.72310i | ||||
\(293\) | −1.11943e6 | − | 1.40372e6i | −0.761776 | − | 0.955236i | 0.238096 | − | 0.971242i | \(-0.423477\pi\) |
−0.999872 | + | 0.0160053i | \(0.994905\pi\) | |||||||
\(294\) | 49368.9 | + | 85509.5i | 0.0333108 | + | 0.0576960i | ||||
\(295\) | 123226. | − | 213434.i | 0.0824420 | − | 0.142794i | ||||
\(296\) | −4.47359e6 | + | 674286.i | −2.96775 | + | 0.447316i | ||||
\(297\) | 1.80311e6 | − | 868333.i | 1.18613 | − | 0.571209i | ||||
\(298\) | −3.54677e6 | − | 3.29092e6i | −2.31362 | − | 2.14672i | ||||
\(299\) | 73898.9 | + | 323772.i | 0.0478035 | + | 0.209441i | ||||
\(300\) | −1.93823e6 | −1.24337 | ||||||||
\(301\) | 535559. | − | 1.41761e6i | 0.340715 | − | 0.901866i | ||||
\(302\) | 1.11383e6 | 0.702754 | ||||||||
\(303\) | 24058.8 | + | 105408.i | 0.0150545 | + | 0.0659581i | ||||
\(304\) | 3.07250e6 | + | 2.85086e6i | 1.90681 | + | 1.76926i | ||||
\(305\) | 49213.2 | − | 23699.8i | 0.0302923 | − | 0.0145880i | ||||
\(306\) | −2.61309e6 | + | 393860.i | −1.59533 | + | 0.240457i | ||||
\(307\) | −1.29807e6 | + | 2.24832e6i | −0.786053 | + | 1.36148i | 0.142315 | + | 0.989821i | \(0.454545\pi\) |
−0.928368 | + | 0.371662i | \(0.878788\pi\) | |||||||
\(308\) | 3.03069e6 | + | 5.24931e6i | 1.82039 | + | 3.15301i | ||||
\(309\) | 980539. | + | 1.22956e6i | 0.584210 | + | 0.732576i | ||||
\(310\) | −15500.1 | − | 206834.i | −0.00916072 | − | 0.122241i | ||||
\(311\) | −1.12823e6 | − | 2.87467e6i | −0.661447 | − | 1.68534i | −0.726240 | − | 0.687441i | \(-0.758734\pi\) |
0.0647933 | − | 0.997899i | \(-0.479361\pi\) | |||||||
\(312\) | 2.38528e6 | + | 1.14869e6i | 1.38724 | + | 0.668061i | ||||
\(313\) | −1.02488e6 | − | 316134.i | −0.591306 | − | 0.182394i | −0.0153607 | − | 0.999882i | \(-0.504890\pi\) |
−0.575945 | + | 0.817488i | \(0.695366\pi\) | |||||||
\(314\) | 1.41497e6 | − | 3.60529e6i | 0.809886 | − | 2.06356i | ||||
\(315\) | −131582. | + | 122091.i | −0.0747174 | + | 0.0693276i | ||||
\(316\) | 4.32094e6 | + | 2.94596e6i | 2.43422 | + | 1.65962i | ||||
\(317\) | 783823. | − | 982882.i | 0.438096 | − | 0.549355i | −0.512944 | − | 0.858422i | \(-0.671445\pi\) |
0.951040 | + | 0.309067i | \(0.100017\pi\) | |||||||
\(318\) | 2.79379e6 | + | 421097.i | 1.54927 | + | 0.233515i | ||||
\(319\) | 2.56393e6 | − | 790867.i | 1.41068 | − | 0.435138i | ||||
\(320\) | 34759.9 | − | 463838.i | 0.0189759 | − | 0.253216i | ||||
\(321\) | −177627. | + | 121104.i | −0.0962157 | + | 0.0655988i | ||||
\(322\) | 150137. | − | 657792.i | 0.0806951 | − | 0.353548i | ||||
\(323\) | −440548. | + | 1.93017e6i | −0.234956 | + | 1.02941i | ||||
\(324\) | 1.19854e6 | − | 817150.i | 0.634293 | − | 0.432453i | ||||
\(325\) | 149450. | − | 1.99427e6i | 0.0784851 | − | 1.04731i | ||||
\(326\) | −512374. | + | 158046.i | −0.267019 | + | 0.0823646i | ||||
\(327\) | 252081. | + | 37995.1i | 0.130368 | + | 0.0196498i | ||||
\(328\) | 451707. | − | 566422.i | 0.231831 | − | 0.290707i | ||||
\(329\) | −528456. | − | 360295.i | −0.269165 | − | 0.183514i | ||||
\(330\) | −290364. | + | 269418.i | −0.146777 | + | 0.136189i | ||||
\(331\) | −9414.48 | + | 23987.7i | −0.00472309 | + | 0.0120342i | −0.933216 | − | 0.359316i | \(-0.883010\pi\) |
0.928493 | + | 0.371351i | \(0.121105\pi\) | |||||||
\(332\) | −6.23244e6 | − | 1.92245e6i | −3.10322 | − | 0.957217i | ||||
\(333\) | 1.43123e6 | + | 689243.i | 0.707291 | + | 0.340613i | ||||
\(334\) | 1.55898e6 | + | 3.97220e6i | 0.764668 | + | 1.94834i | ||||
\(335\) | −35619.6 | − | 475311.i | −0.0173411 | − | 0.231401i | ||||
\(336\) | −1.77529e6 | − | 2.22615e6i | −0.857871 | − | 1.07574i | ||||
\(337\) | 1.26896e6 | + | 2.19791e6i | 0.608659 | + | 1.05423i | 0.991462 | + | 0.130398i | \(0.0416256\pi\) |
−0.382803 | + | 0.923830i | \(0.625041\pi\) | |||||||
\(338\) | −292848. | + | 507227.i | −0.139428 | + | 0.241496i | ||||
\(339\) | 761881. | − | 114835.i | 0.360071 | − | 0.0542719i | ||||
\(340\) | 789242. | − | 380079.i | 0.370265 | − | 0.178310i | ||||
\(341\) | 1.08780e6 | + | 1.00933e6i | 0.506599 | + | 0.470055i | ||||
\(342\) | −618629. | − | 2.71039e6i | −0.285999 | − | 1.25304i | ||||
\(343\) | 2.24882e6 | 1.03210 | ||||||||
\(344\) | 1.31615e6 | − | 6.12646e6i | 0.599665 | − | 2.79135i | ||||
\(345\) | 31570.4 | 0.0142801 | ||||||||
\(346\) | −1.39155e6 | − | 6.09678e6i | −0.624897 | − | 2.73785i | ||||
\(347\) | −1.00092e6 | − | 928719.i | −0.446248 | − | 0.414057i | 0.424776 | − | 0.905299i | \(-0.360353\pi\) |
−0.871024 | + | 0.491241i | \(0.836543\pi\) | |||||||
\(348\) | −2.54555e6 | + | 1.22587e6i | −1.12677 | + | 0.542622i | ||||
\(349\) | −1.49430e6 | + | 225230.i | −0.656713 | + | 0.0989835i | −0.468942 | − | 0.883229i | \(-0.655364\pi\) |
−0.187771 | + | 0.982213i | \(0.560126\pi\) | |||||||
\(350\) | −2.03151e6 | + | 3.51868e6i | −0.886439 | + | 1.53536i | ||||
\(351\) | −1.08720e6 | − | 1.88308e6i | −0.471021 | − | 0.815833i | ||||
\(352\) | 5.35577e6 | + | 6.71593e6i | 2.30391 | + | 2.88901i | ||||
\(353\) | 19044.5 | + | 254132.i | 0.00813455 | + | 0.108548i | 0.999793 | − | 0.0203453i | \(-0.00647656\pi\) |
−0.991658 | + | 0.128893i | \(0.958858\pi\) | |||||||
\(354\) | −947352. | − | 2.41381e6i | −0.401794 | − | 1.02375i | ||||
\(355\) | 351378. | + | 169215.i | 0.147980 | + | 0.0712635i | ||||
\(356\) | −7.31490e6 | − | 2.25635e6i | −3.05903 | − | 0.943586i | ||||
\(357\) | 491365. | − | 1.25198e6i | 0.204049 | − | 0.519908i | ||||
\(358\) | 1.51535e6 | − | 1.40604e6i | 0.624892 | − | 0.579815i | ||||
\(359\) | 3.01104e6 | + | 2.05289e6i | 1.23305 | + | 0.840679i | 0.991550 | − | 0.129722i | \(-0.0414086\pi\) |
0.241499 | + | 0.970401i | \(0.422361\pi\) | |||||||
\(360\) | −462776. | + | 580303.i | −0.188198 | + | 0.235993i | ||||
\(361\) | 388897. | + | 58616.8i | 0.157061 | + | 0.0236731i | ||||
\(362\) | −3.36956e6 | + | 1.03937e6i | −1.35146 | + | 0.416869i | ||||
\(363\) | 117370. | − | 1.56619e6i | 0.0467509 | − | 0.623847i | ||||
\(364\) | 5.44130e6 | − | 3.70982e6i | 2.15253 | − | 1.46757i | ||||
\(365\) | −150619. | + | 659906.i | −0.0591764 | + | 0.259269i | ||||
\(366\) | 127886. | − | 560304.i | 0.0499022 | − | 0.218636i | ||||
\(367\) | −2.08731e6 | + | 1.42311e6i | −0.808951 | + | 0.551534i | −0.895680 | − | 0.444698i | \(-0.853311\pi\) |
0.0867292 | + | 0.996232i | \(0.472359\pi\) | |||||||
\(368\) | 110370. | − | 1.47279e6i | 0.0424847 | − | 0.566919i | ||||
\(369\) | −243083. | + | 74981.3i | −0.0929371 | + | 0.0286673i | ||||
\(370\) | −727212. | − | 109610.i | −0.276157 | − | 0.0416240i | ||||
\(371\) | 2.64408e6 | − | 3.31557e6i | 0.997332 | − | 1.25061i | ||||
\(372\) | −1.29107e6 | − | 880239.i | −0.483719 | − | 0.329794i | ||||
\(373\) | −2.56054e6 | + | 2.37584e6i | −0.952928 | + | 0.884188i | −0.993366 | − | 0.114994i | \(-0.963315\pi\) |
0.0404381 | + | 0.999182i | \(0.487125\pi\) | |||||||
\(374\) | −3.19778e6 | + | 8.14780e6i | −1.18214 | + | 3.01204i | ||||
\(375\) | −367050. | − | 113220.i | −0.134787 | − | 0.0415762i | ||||
\(376\) | −2.38282e6 | − | 1.14750e6i | −0.869203 | − | 0.418586i | ||||
\(377\) | −1.06504e6 | − | 2.71368e6i | −0.385934 | − | 0.983344i | ||||
\(378\) | 330129. | + | 4.40526e6i | 0.118838 | + | 1.58578i | ||||
\(379\) | 2.82791e6 | + | 3.54608e6i | 1.01127 | + | 1.26809i | 0.963069 | + | 0.269254i | \(0.0867771\pi\) |
0.0482002 | + | 0.998838i | \(0.484651\pi\) | |||||||
\(380\) | 460784. | + | 798101.i | 0.163696 | + | 0.283530i | ||||
\(381\) | −830073. | + | 1.43773e6i | −0.292957 | + | 0.507417i | ||||
\(382\) | 1.09740e6 | − | 165407.i | 0.384776 | − | 0.0579957i | ||||
\(383\) | −2.90152e6 | + | 1.39730e6i | −1.01071 | + | 0.486734i | −0.864561 | − | 0.502528i | \(-0.832404\pi\) |
−0.146153 | + | 0.989262i | \(0.546689\pi\) | |||||||
\(384\) | −957809. | − | 888717.i | −0.331475 | − | 0.307564i | ||||
\(385\) | 132297. | + | 579633.i | 0.0454883 | + | 0.199297i | ||||
\(386\) | 1.41407e6 | 0.483062 | ||||||||
\(387\) | −1.59363e6 | + | 1.51705e6i | −0.540891 | + | 0.514898i | ||||
\(388\) | −1.18219e7 | −3.98664 | ||||||||
\(389\) | 556380. | + | 2.43766e6i | 0.186422 | + | 0.816768i | 0.978483 | + | 0.206327i | \(0.0661509\pi\) |
−0.792061 | + | 0.610442i | \(0.790992\pi\) | |||||||
\(390\) | 315477. | + | 292720.i | 0.105028 | + | 0.0974521i | ||||
\(391\) | 628538. | − | 302688.i | 0.207917 | − | 0.100127i | ||||
\(392\) | 605978. | − | 91336.4i | 0.199178 | − | 0.0300213i | ||||
\(393\) | 447514. | − | 775118.i | 0.146159 | − | 0.253155i | ||||
\(394\) | 180217. | + | 312145.i | 0.0584864 | + | 0.101301i | ||||
\(395\) | 319824. | + | 401046.i | 0.103138 | + | 0.129331i | ||||
\(396\) | −657672. | − | 8.77603e6i | −0.210752 | − | 2.81229i | ||||
\(397\) | 105515. | + | 268847.i | 0.0335998 | + | 0.0856109i | 0.946689 | − | 0.322149i | \(-0.104405\pi\) |
−0.913089 | + | 0.407760i | \(0.866310\pi\) | |||||||
\(398\) | 4.41756e6 | + | 2.12738e6i | 1.39789 | + | 0.673191i | ||||
\(399\) | 1.35206e6 | + | 417056.i | 0.425172 | + | 0.131148i | ||||
\(400\) | −3.24929e6 | + | 8.27905e6i | −1.01540 | + | 2.58720i | ||||
\(401\) | −1.91142e6 | + | 1.77354e6i | −0.593601 | + | 0.550781i | −0.918729 | − | 0.394889i | \(-0.870783\pi\) |
0.325128 | + | 0.945670i | \(0.394593\pi\) | |||||||
\(402\) | −4.14361e6 | − | 2.82507e6i | −1.27883 | − | 0.871894i | ||||
\(403\) | 1.00524e6 | − | 1.26053e6i | 0.308324 | − | 0.386626i | ||||
\(404\) | 1.09969e6 | + | 165752.i | 0.335210 | + | 0.0505248i | ||||
\(405\) | 135963. | − | 41938.9i | 0.0411891 | − | 0.0127051i | ||||
\(406\) | −442601. | + | 5.90610e6i | −0.133259 | + | 1.77822i | ||||
\(407\) | 4.34732e6 | − | 2.96395e6i | 1.30087 | − | 0.886921i | ||||
\(408\) | 1.23753e6 | − | 5.42197e6i | 0.368048 | − | 1.61252i | ||||
\(409\) | 1.12953e6 | − | 4.94878e6i | 0.333878 | − | 1.46282i | −0.477675 | − | 0.878537i | \(-0.658520\pi\) |
0.811553 | − | 0.584279i | \(-0.198623\pi\) | |||||||
\(410\) | 97305.4 | − | 66341.7i | 0.0285876 | − | 0.0194907i | ||||
\(411\) | −215892. | + | 2.88088e6i | −0.0630423 | + | 0.841241i | ||||
\(412\) | 1.54577e7 | − | 4.76807e6i | 4.48645 | − | 1.38389i | ||||
\(413\) | −3.84864e6 | − | 580089.i | −1.11028 | − | 0.167348i | ||||
\(414\) | −610784. | + | 765899.i | −0.175141 | + | 0.219619i | ||||
\(415\) | −528578. | − | 360378.i | −0.150657 | − | 0.102716i | ||||
\(416\) | 6.84153e6 | − | 6.34801e6i | 1.93830 | − | 1.79848i | ||||
\(417\) | 139249. | − | 354801.i | 0.0392150 | − | 0.0999183i | ||||
\(418\) | −8.79914e6 | − | 2.71418e6i | −2.46320 | − | 0.759796i | ||||
\(419\) | −892562. | − | 429835.i | −0.248372 | − | 0.119610i | 0.305556 | − | 0.952174i | \(-0.401158\pi\) |
−0.553929 | + | 0.832564i | \(0.686872\pi\) | |||||||
\(420\) | −228723. | − | 582775.i | −0.0632682 | − | 0.161205i | ||||
\(421\) | 139426. | + | 1.86051e6i | 0.0383389 | + | 0.511596i | 0.983007 | + | 0.183569i | \(0.0587649\pi\) |
−0.944668 | + | 0.328028i | \(0.893616\pi\) | |||||||
\(422\) | 668851. | + | 838713.i | 0.182830 | + | 0.229262i | ||||
\(423\) | 464318. | + | 804222.i | 0.126172 | + | 0.218537i | ||||
\(424\) | 8.76786e6 | − | 1.51864e7i | 2.36853 | − | 4.10241i | ||||
\(425\) | −4.15410e6 | + | 626130.i | −1.11559 | + | 0.168148i | ||||
\(426\) | 3.69703e6 | − | 1.78040e6i | 0.987028 | − | 0.475328i | ||||
\(427\) | −632352. | − | 586737.i | −0.167838 | − | 0.155730i | ||||
\(428\) | 492062. | + | 2.15587e6i | 0.129841 | + | 0.568869i | ||||
\(429\) | −3.07901e6 | −0.807732 | ||||||||
\(430\) | 497989. | − | 888588.i | 0.129882 | − | 0.231755i | ||||
\(431\) | −2.57203e6 | −0.666933 | −0.333466 | − | 0.942762i | \(-0.608218\pi\) | ||||
−0.333466 | + | 0.942762i | \(0.608218\pi\) | |||||||
\(432\) | 2.15179e6 | + | 9.42759e6i | 0.554740 | + | 2.43048i | ||||
\(433\) | 4.83142e6 | + | 4.48290e6i | 1.23838 | + | 1.14905i | 0.983273 | + | 0.182139i | \(0.0583020\pi\) |
0.255110 | + | 0.966912i | \(0.417888\pi\) | |||||||
\(434\) | −2.95121e6 | + | 1.42123e6i | −0.752100 | + | 0.362192i | ||||
\(435\) | −274033. | + | 41303.9i | −0.0694352 | + | 0.0104657i | ||||
\(436\) | 1.31110e6 | − | 2.27089e6i | 0.330307 | − | 0.572109i | ||||
\(437\) | 366960. | + | 635593.i | 0.0919211 | + | 0.159212i | ||||
\(438\) | 4.44036e6 | + | 5.56804e6i | 1.10594 | + | 1.38681i | ||||
\(439\) | 343215. | + | 4.57988e6i | 0.0849972 | + | 1.13421i | 0.862747 | + | 0.505635i | \(0.168742\pi\) |
−0.777750 | + | 0.628574i | \(0.783639\pi\) | |||||||
\(440\) | 898167. | + | 2.28849e6i | 0.221170 | + | 0.563531i | ||||
\(441\) | −193869. | − | 93362.4i | −0.0474692 | − | 0.0228600i | ||||
\(442\) | 9.08739e6 | + | 2.80309e6i | 2.21250 | + | 0.682466i | ||||
\(443\) | 982538. | − | 2.50346e6i | 0.237870 | − | 0.606083i | −0.761231 | − | 0.648481i | \(-0.775405\pi\) |
0.999101 | + | 0.0423980i | \(0.0134998\pi\) | |||||||
\(444\) | −4.06144e6 | + | 3.76847e6i | −0.977739 | + | 0.907210i | ||||
\(445\) | −620382. | − | 422970.i | −0.148511 | − | 0.101253i | ||||
\(446\) | −615813. | + | 772205.i | −0.146593 | + | 0.183821i | ||||
\(447\) | −3.53538e6 | − | 532873.i | −0.836888 | − | 0.126140i | ||||
\(448\) | −7.01937e6 | + | 2.16519e6i | −1.65235 | + | 0.509684i | ||||
\(449\) | 167438. | − | 2.23431e6i | 0.0391957 | − | 0.523031i | −0.942704 | − | 0.333630i | \(-0.891726\pi\) |
0.981900 | − | 0.189401i | \(-0.0606545\pi\) | |||||||
\(450\) | 4.87413e6 | − | 3.32313e6i | 1.13466 | − | 0.773598i | ||||
\(451\) | −187491. | + | 821450.i | −0.0434048 | + | 0.190169i | ||||
\(452\) | 1.76353e6 | − | 7.72652e6i | 0.406009 | − | 1.77884i | ||||
\(453\) | 680052. | − | 463652.i | 0.155703 | − | 0.106156i | ||||
\(454\) | −33045.0 | + | 440955.i | −0.00752431 | + | 0.100405i | ||||
\(455\) | 617263. | − | 190400.i | 0.139779 | − | 0.0431161i | ||||
\(456\) | 5.78540e6 | + | 872008.i | 1.30293 | + | 0.196385i | ||||
\(457\) | −99521.2 | + | 124796.i | −0.0222908 | + | 0.0279517i | −0.792852 | − | 0.609414i | \(-0.791405\pi\) |
0.770561 | + | 0.637366i | \(0.219976\pi\) | |||||||
\(458\) | 4.25364e6 | + | 2.90008e6i | 0.947538 | + | 0.646020i | ||||
\(459\) | −3.34833e6 | + | 3.10679e6i | −0.741816 | + | 0.688305i | ||||
\(460\) | 118638. | − | 302285.i | 0.0261415 | − | 0.0666074i | ||||
\(461\) | 3.45579e6 | + | 1.06597e6i | 0.757348 | + | 0.233611i | 0.649297 | − | 0.760535i | \(-0.275063\pi\) |
0.108050 | + | 0.994145i | \(0.465539\pi\) | |||||||
\(462\) | 5.63598e6 | + | 2.71415e6i | 1.22847 | + | 0.591600i | ||||
\(463\) | −211020. | − | 537671.i | −0.0457480 | − | 0.116564i | 0.906173 | − | 0.422906i | \(-0.138990\pi\) |
−0.951921 | + | 0.306342i | \(0.900895\pi\) | |||||||
\(464\) | 968842. | + | 1.29283e7i | 0.208909 | + | 2.78770i | ||||
\(465\) | −95561.7 | − | 119831.i | −0.0204952 | − | 0.0257001i | ||||
\(466\) | 4.15055e6 | + | 7.18896e6i | 0.885402 | + | 1.53356i | ||||
\(467\) | 3.36929e6 | − | 5.83579e6i | 0.714902 | − | 1.23825i | −0.248095 | − | 0.968736i | \(-0.579805\pi\) |
0.962997 | − | 0.269511i | \(-0.0868620\pi\) | |||||||
\(468\) | −9.45500e6 | + | 1.42511e6i | −1.99548 | + | 0.300770i | ||||
\(469\) | −6.78197e6 | + | 3.26602e6i | −1.42372 | + | 0.685626i | ||||
\(470\) | −315152. | − | 292418.i | −0.0658075 | − | 0.0610604i | ||||
\(471\) | −636849. | − | 2.79022e6i | −0.132277 | − | 0.579543i | ||||
\(472\) | −1.60940e7 | −3.32513 | ||||||||
\(473\) | 1.71236e6 | + | 7.08363e6i | 0.351919 | + | 1.45581i | ||||
\(474\) | 5.39710e6 | 1.10335 | ||||||||
\(475\) | −983451. | − | 4.30878e6i | −0.199995 | − | 0.876234i | ||||
\(476\) | −1.01411e7 | − | 9.40960e6i | −2.05149 | − | 1.90350i | ||||
\(477\) | −5.54750e6 | + | 2.67154e6i | −1.11635 | + | 0.537607i | ||||
\(478\) | 668436. | − | 100750.i | 0.133810 | − | 0.0201687i | ||||
\(479\) | 1.13074e6 | − | 1.95849e6i | 0.225176 | − | 0.390017i | −0.731196 | − | 0.682167i | \(-0.761038\pi\) |
0.956372 | + | 0.292151i | \(0.0943709\pi\) | |||||||
\(480\) | −443611. | − | 768356.i | −0.0878818 | − | 0.152216i | ||||
\(481\) | −3.56427e6 | − | 4.46946e6i | −0.702438 | − | 0.880830i | ||||
\(482\) | −1631.51 | − | 21771.0i | −0.000319869 | − | 0.00426836i | ||||
\(483\) | −182151. | − | 464112.i | −0.0355273 | − | 0.0905222i | ||||
\(484\) | −1.45551e7 | − | 7.00939e6i | −2.82425 | − | 1.36009i | ||||
\(485\) | −1.10805e6 | − | 341788.i | −0.213897 | − | 0.0659784i | ||||
\(486\) | 3.68480e6 | − | 9.38872e6i | 0.707658 | − | 1.80308i | ||||
\(487\) | 2.38975e6 | − | 2.21737e6i | 0.456594 | − | 0.423657i | −0.418049 | − | 0.908424i | \(-0.637286\pi\) |
0.874643 | + | 0.484767i | \(0.161096\pi\) | |||||||
\(488\) | −2.94719e6 | − | 2.00936e6i | −0.560220 | − | 0.381951i | ||||
\(489\) | −247041. | + | 309779.i | −0.0467193 | + | 0.0585841i | ||||
\(490\) | 98505.6 | + | 14847.3i | 0.0185341 | + | 0.00279356i | ||||
\(491\) | 5.60052e6 | − | 1.72753e6i | 1.04839 | − | 0.323387i | 0.277751 | − | 0.960653i | \(-0.410411\pi\) |
0.770644 | + | 0.637266i | \(0.219935\pi\) | |||||||
\(492\) | 66303.1 | − | 884754.i | 0.0123487 | − | 0.164782i | ||||
\(493\) | −5.05974e6 | + | 3.44967e6i | −0.937586 | + | 0.639235i | ||||
\(494\) | −2.22624e6 | + | 9.75382e6i | −0.410446 | + | 1.79828i | ||||
\(495\) | 192085. | − | 841580.i | 0.0352355 | − | 0.154377i | ||||
\(496\) | −5.92429e6 | + | 4.03911e6i | −1.08127 | + | 0.737194i | ||||
\(497\) | 460269. | − | 6.14187e6i | 0.0835836 | − | 1.11535i | ||||
\(498\) | −6.43200e6 | + | 1.98401e6i | −1.16218 | + | 0.358485i | ||||
\(499\) | 1.29919e6 | + | 195822.i | 0.233573 | + | 0.0352055i | 0.264786 | − | 0.964307i | \(-0.414699\pi\) |
−0.0312126 | + | 0.999513i | \(0.509937\pi\) | |||||||
\(500\) | −2.46341e6 | + | 3.08902e6i | −0.440669 | + | 0.552581i | ||||
\(501\) | 2.60533e6 | + | 1.77628e6i | 0.463733 | + | 0.316168i | ||||
\(502\) | 2.60927e6 | − | 2.42105e6i | 0.462125 | − | 0.428790i | ||||
\(503\) | −179162. | + | 456497.i | −0.0315737 | + | 0.0804485i | −0.945791 | − | 0.324776i | \(-0.894711\pi\) |
0.914217 | + | 0.405224i | \(0.132806\pi\) | |||||||
\(504\) | 1.12010e7 | + | 3.45506e6i | 1.96418 | + | 0.605869i | ||||
\(505\) | 98280.5 | + | 47329.4i | 0.0171490 | + | 0.00825853i | ||||
\(506\) | 1.18543e6 | + | 3.02041e6i | 0.205825 | + | 0.524433i | ||||
\(507\) | 32343.2 | + | 431590.i | 0.00558809 | + | 0.0745679i | ||||
\(508\) | 1.06469e7 | + | 1.33508e7i | 1.83047 | + | 2.29534i | ||||
\(509\) | −5.58579e6 | − | 9.67488e6i | −0.955631 | − | 1.65520i | −0.732917 | − | 0.680319i | \(-0.761841\pi\) |
−0.222715 | − | 0.974884i | \(-0.571492\pi\) | |||||||
\(510\) | 452021. | − | 782923.i | 0.0769543 | − | 0.133289i | ||||
\(511\) | 1.05702e7 | − | 1.59320e6i | 1.79074 | − | 0.269910i | ||||
\(512\) | 5.87873e6 | − | 2.83105e6i | 0.991080 | − | 0.477279i | ||||
\(513\) | −3.52253e6 | − | 3.26843e6i | −0.590965 | − | 0.548335i | ||||
\(514\) | −1.78254e6 | − | 7.80983e6i | −0.297599 | − | 1.30387i | ||||
\(515\) | 1.58668e6 | 0.263617 | ||||||||
\(516\) | −2.89471e6 | − | 7.10704e6i | −0.478608 | − | 1.17507i | ||||
\(517\) | 3.07583e6 | 0.506100 | ||||||||
\(518\) | 2.58441e6 | + | 1.13230e7i | 0.423192 | + | 1.85412i | ||||
\(519\) | −3.38750e6 | − | 3.14314e6i | −0.552027 | − | 0.512206i | ||||
\(520\) | 2.40655e6 | − | 1.15893e6i | 0.390289 | − | 0.187953i | ||||
\(521\) | 1.39936e6 | − | 210919.i | 0.225857 | − | 0.0340425i | −0.0351385 | − | 0.999382i | \(-0.511187\pi\) |
0.260996 | + | 0.965340i | \(0.415949\pi\) | |||||||
\(522\) | 4.29961e6 | − | 7.44715e6i | 0.690642 | − | 1.19623i | ||||
\(523\) | −1.99816e6 | − | 3.46092e6i | −0.319431 | − | 0.553270i | 0.660939 | − | 0.750440i | \(-0.270158\pi\) |
−0.980369 | + | 0.197170i | \(0.936825\pi\) | |||||||
\(524\) | −5.74001e6 | − | 7.19774e6i | −0.913239 | − | 1.14517i | ||||
\(525\) | 224368. | + | 2.99398e6i | 0.0355273 | + | 0.474079i | ||||
\(526\) | 901399. | + | 2.29673e6i | 0.142054 | + | 0.361947i | ||||
\(527\) | −3.05145e6 | − | 1.46950e6i | −0.478607 | − | 0.230485i | ||||
\(528\) | 1.30847e7 | + | 4.03610e6i | 2.04258 | + | 0.630053i | ||||
\(529\) | −2.25698e6 | + | 5.75069e6i | −0.350662 | + | 0.893471i | ||||
\(530\) | 2.08960e6 | − | 1.93886e6i | 0.323127 | − | 0.299818i | ||||
\(531\) | 4.66910e6 | + | 3.18334e6i | 0.718616 | + | 0.489944i | ||||
\(532\) | 9.07420e6 | − | 1.13787e7i | 1.39005 | − | 1.74306i | ||||
\(533\) | 905224. | + | 136441.i | 0.138019 | + | 0.0208030i | ||||
\(534\) | −7.54913e6 | + | 2.32860e6i | −1.14563 | + | 0.353380i | ||||
\(535\) | −16208.9 | + | 216293.i | −0.00244833 | + | 0.0326706i | ||||
\(536\) | −2.57176e7 | + | 1.75339e7i | −3.86650 | + | 2.63613i | ||||
\(537\) | 339911. | − | 1.48925e6i | 0.0508662 | − | 0.222859i | ||||
\(538\) | 1.32730e6 | − | 5.81527e6i | 0.197703 | − | 0.866192i | ||||
\(539\) | −588873. | + | 401487.i | −0.0873071 | + | 0.0595250i | ||||
\(540\) | −158889. | + | 2.12022e6i | −0.0234482 | + | 0.312894i | ||||
\(541\) | −8.79503e6 | + | 2.71291e6i | −1.29195 | + | 0.398512i | −0.863177 | − | 0.504902i | \(-0.831529\pi\) |
−0.428769 | + | 0.903414i | \(0.641053\pi\) | |||||||
\(542\) | 9.07592e6 | + | 1.36797e6i | 1.32707 | + | 0.200023i | ||||
\(543\) | −1.62463e6 | + | 2.03722e6i | −0.236459 | + | 0.296510i | ||||
\(544\) | −1.61987e7 | − | 1.10441e7i | −2.34683 | − | 1.60004i | ||||
\(545\) | 188542. | − | 174941.i | 0.0271905 | − | 0.0252291i | ||||
\(546\) | 2.48304e6 | − | 6.32669e6i | 0.356453 | − | 0.908228i | ||||
\(547\) | 6.01324e6 | + | 1.85484e6i | 0.859290 | + | 0.265056i | 0.692926 | − | 0.721008i | \(-0.256321\pi\) |
0.166364 | + | 0.986064i | \(0.446797\pi\) | |||||||
\(548\) | 2.67730e7 | + | 1.28932e7i | 3.80843 | + | 1.83404i | ||||
\(549\) | 457578. | + | 1.16589e6i | 0.0647939 | + | 0.165092i | ||||
\(550\) | −1.46017e6 | − | 1.94847e7i | −0.205825 | − | 2.74654i | ||||
\(551\) | −4.01679e6 | − | 5.03689e6i | −0.563638 | − | 0.706779i | ||||
\(552\) | −1.03081e6 | − | 1.78542e6i | −0.143990 | − | 0.249398i | ||||
\(553\) | 4.05045e6 | − | 7.01558e6i | 0.563236 | − | 0.975553i | ||||
\(554\) | −2.05515e7 | + | 3.09764e6i | −2.84491 | + | 0.428802i | ||||
\(555\) | −489626. | + | 235792.i | −0.0674733 | + | 0.0324934i | ||||
\(556\) | −2.87392e6 | − | 2.66661e6i | −0.394265 | − | 0.365824i | ||||
\(557\) | −249676. | − | 1.09390e6i | −0.0340987 | − | 0.149396i | 0.955013 | − | 0.296565i | \(-0.0958411\pi\) |
−0.989111 | + | 0.147169i | \(0.952984\pi\) | |||||||
\(558\) | 4.75590e6 | 0.646617 | ||||||||
\(559\) | 7.53574e6 | − | 2.43041e6i | 1.01999 | − | 0.328965i | ||||
\(560\) | −2.87274e6 | −0.387102 | ||||||||
\(561\) | 1.43925e6 | + | 6.30577e6i | 0.193076 | + | 0.845923i | ||||
\(562\) | −5.90223e6 | − | 5.47647e6i | −0.788271 | − | 0.731408i | ||||
\(563\) | −2.75601e6 | + | 1.32722e6i | −0.366446 | + | 0.176471i | −0.608040 | − | 0.793906i | \(-0.708044\pi\) |
0.241594 | + | 0.970377i | \(0.422330\pi\) | |||||||
\(564\) | −3.20269e6 | + | 482727.i | −0.423952 | + | 0.0639005i | ||||
\(565\) | 388678. | − | 673210.i | 0.0512235 | − | 0.0887217i | ||||
\(566\) | 1.09312e7 | + | 1.89334e7i | 1.43425 | + | 2.48420i | ||||
\(567\) | −1.40100e6 | − | 1.75679e6i | −0.183012 | − | 0.229490i | ||||
\(568\) | −1.90323e6 | − | 2.53968e7i | −0.247525 | − | 3.30299i | ||||
\(569\) | −266105. | − | 678024.i | −0.0344566 | − | 0.0877939i | 0.912610 | − | 0.408832i | \(-0.134064\pi\) |
−0.947066 | + | 0.321038i | \(0.895968\pi\) | |||||||
\(570\) | 856890. | + | 412656.i | 0.110468 | + | 0.0531988i | ||||
\(571\) | 3.57153e6 | + | 1.10167e6i | 0.458420 | + | 0.141404i | 0.515360 | − | 0.856974i | \(-0.327658\pi\) |
−0.0569399 | + | 0.998378i | \(0.518134\pi\) | |||||||
\(572\) | −1.15706e7 | + | 2.94814e7i | −1.47865 | + | 3.76754i | ||||
\(573\) | 601167. | − | 557802.i | 0.0764907 | − | 0.0709730i | ||||
\(574\) | −1.53670e6 | − | 1.04770e6i | −0.194675 | − | 0.132727i | ||||
\(575\) | −970980. | + | 1.21757e6i | −0.122473 | + | 0.153576i | ||||
\(576\) | 1.05463e7 | + | 1.58959e6i | 1.32447 | + | 0.199632i | ||||
\(577\) | −1.83838e6 | + | 567064.i | −0.229877 | + | 0.0709076i | −0.407554 | − | 0.913181i | \(-0.633618\pi\) |
0.177677 | + | 0.984089i | \(0.443142\pi\) | |||||||
\(578\) | 366529. | − | 4.89100e6i | 0.0456341 | − | 0.608945i | ||||
\(579\) | 863362. | − | 588631.i | 0.107028 | − | 0.0729703i | ||||
\(580\) | −634305. | + | 2.77907e6i | −0.0782939 | + | 0.343028i | ||||
\(581\) | −2.24815e6 | + | 9.84981e6i | −0.276303 | + | 1.21056i | ||||
\(582\) | −1.00804e7 | + | 6.87273e6i | −1.23359 | + | 0.841050i | ||||
\(583\) | −1.52405e6 | + | 2.03371e7i | −0.185707 | + | 2.47809i | ||||
\(584\) | 4.22380e7 | − | 1.30287e7i | 5.12474 | − | 1.58077i | ||||
\(585\) | −927407. | − | 139784.i | −0.112042 | − | 0.0168876i | ||||
\(586\) | −1.18831e7 | + | 1.49010e7i | −1.42951 | + | 1.79255i | ||||
\(587\) | −3.45834e6 | − | 2.35786e6i | −0.414259 | − | 0.282437i | 0.338202 | − | 0.941073i | \(-0.390181\pi\) |
−0.752462 | + | 0.658636i | \(0.771134\pi\) | |||||||
\(588\) | 550149. | − | 510464.i | 0.0656201 | − | 0.0608866i | ||||
\(589\) | 1.30173e6 | − | 3.31676e6i | 0.154608 | − | 0.393936i | ||||
\(590\) | −2.49995e6 | − | 771133.i | −0.295666 | − | 0.0912009i | ||||
\(591\) | 239967. | + | 115562.i | 0.0282607 | + | 0.0136096i | ||||
\(592\) | 9.28816e6 | + | 2.36658e7i | 1.08924 | + | 2.77535i | ||||
\(593\) | −540347. | − | 7.21043e6i | −0.0631010 | − | 0.842024i | −0.935522 | − | 0.353269i | \(-0.885070\pi\) |
0.872421 | − | 0.488755i | \(-0.162549\pi\) | |||||||
\(594\) | −1.32457e7 | − | 1.66096e7i | −1.54032 | − | 1.93150i | ||||
\(595\) | −678471. | − | 1.17515e6i | −0.0785667 | − | 0.136082i | ||||
\(596\) | −1.83878e7 | + | 3.18486e7i | −2.12038 | + | 3.67261i | ||||
\(597\) | 3.58270e6 | − | 540005.i | 0.411410 | − | 0.0620100i | ||||
\(598\) | 3.17622e6 | − | 1.52959e6i | 0.363210 | − | 0.174913i | ||||
\(599\) | −2.58488e6 | − | 2.39842e6i | −0.294356 | − | 0.273123i | 0.519145 | − | 0.854686i | \(-0.326251\pi\) |
−0.813501 | + | 0.581564i | \(0.802441\pi\) | |||||||
\(600\) | 2.76258e6 | + | 1.21036e7i | 0.313283 | + | 1.37258i | ||||
\(601\) | −3.11542e6 | −0.351828 | −0.175914 | − | 0.984406i | \(-0.556288\pi\) | ||||
−0.175914 | + | 0.984406i | \(0.556288\pi\) | |||||||
\(602\) | −1.59362e7 | − | 2.19401e6i | −1.79223 | − | 0.246744i | ||||
\(603\) | 1.09292e7 | 1.22404 | ||||||||
\(604\) | −1.88388e6 | − | 8.25383e6i | −0.210117 | − | 0.920583i | ||||
\(605\) | −1.16158e6 | − | 1.07779e6i | −0.129021 | − | 0.119714i | ||||
\(606\) | 1.03406e6 | − | 497978.i | 0.114384 | − | 0.0550844i | ||||
\(607\) | 3.35999e6 | − | 506438.i | 0.370141 | − | 0.0557897i | 0.0386618 | − | 0.999252i | \(-0.487691\pi\) |
0.331479 | + | 0.943463i | \(0.392452\pi\) | |||||||
\(608\) | 1.03127e7 | − | 1.78620e7i | 1.13139 | − | 1.95962i | ||||
\(609\) | 2.18828e6 | + | 3.79021e6i | 0.239089 | + | 0.414115i | ||||
\(610\) | −361523. | − | 453335.i | −0.0393379 | − | 0.0493282i | ||||
\(611\) | −249737. | − | 3.33251e6i | −0.0270633 | − | 0.361135i | ||||
\(612\) | 7.33826e6 | + | 1.86976e7i | 0.791980 | + | 2.01793i | ||||
\(613\) | 7.79725e6 | + | 3.75496e6i | 0.838090 | + | 0.403603i | 0.803143 | − | 0.595786i | \(-0.203160\pi\) |
0.0349467 | + | 0.999389i | \(0.488874\pi\) | |||||||
\(614\) | 2.63346e7 | + | 8.12313e6i | 2.81906 | + | 0.869566i | ||||
\(615\) | 31794.1 | − | 81009.9i | 0.00338968 | − | 0.00863675i | ||||
\(616\) | 2.84607e7 | − | 2.64077e7i | 3.02200 | − | 2.80400i | ||||
\(617\) | −2.84373e6 | − | 1.93882e6i | −0.300729 | − | 0.205034i | 0.403549 | − | 0.914958i | \(-0.367777\pi\) |
−0.704278 | + | 0.709925i | \(0.748729\pi\) | |||||||
\(618\) | 1.04088e7 | − | 1.30522e7i | 1.09630 | − | 1.37471i | ||||
\(619\) | 6.38787e6 | + | 962816.i | 0.670084 | + | 0.100999i | 0.475268 | − | 0.879841i | \(-0.342351\pi\) |
0.194816 | + | 0.980840i | \(0.437589\pi\) | |||||||
\(620\) | −1.50648e6 | + | 464688.i | −0.157393 | + | 0.0485493i | ||||
\(621\) | −126536. | + | 1.68851e6i | −0.0131670 | + | 0.175701i | ||||
\(622\) | −2.70855e7 | + | 1.84666e7i | −2.80712 | + | 1.91386i | ||||
\(623\) | −2.63862e6 | + | 1.15605e7i | −0.272368 | + | 1.19332i | ||||
\(624\) | 3.31053e6 | − | 1.45044e7i | 0.340358 | − | 1.49120i | ||||
\(625\) | 7.58682e6 | − | 5.17260e6i | 0.776890 | − | 0.529675i | ||||
\(626\) | −850823. | + | 1.13534e7i | −0.0867767 | + | 1.15796i | ||||
\(627\) | −6.50214e6 | + | 2.00564e6i | −0.660522 | + | 0.203744i | ||||
\(628\) | −2.91094e7 | − | 4.38754e6i | −2.94533 | − | 0.443938i | ||||
\(629\) | −7.48731e6 | + | 9.38879e6i | −0.754570 | + | 0.946200i | ||||
\(630\) | 1.57436e6 | + | 1.07338e6i | 0.158035 | + | 0.107746i | ||||
\(631\) | 1.08642e7 | − | 1.00805e7i | 1.08623 | − | 1.00788i | 0.0863001 | − | 0.996269i | \(-0.472496\pi\) |
0.999933 | − | 0.0116075i | \(-0.00369486\pi\) | |||||||
\(632\) | 1.22380e7 | − | 3.11819e7i | 1.21876 | − | 3.10534i | ||||
\(633\) | 757496. | + | 233656.i | 0.0751400 | + | 0.0231776i | ||||
\(634\) | −1.20235e7 | − | 5.79024e6i | −1.18798 | − | 0.572101i | ||||
\(635\) | 611928. | + | 1.55917e6i | 0.0602235 | + | 0.153447i | ||||
\(636\) | −1.60483e6 | − | 2.14150e7i | −0.157321 | − | 2.09931i | ||||
\(637\) | 482804. | + | 605417.i | 0.0471436 | + | 0.0591162i | ||||
\(638\) | −1.42412e7 | − | 2.46665e7i | −1.38514 | − | 2.39914i | ||||
\(639\) | −4.47125e6 | + | 7.74443e6i | −0.433188 | + | 0.750304i | ||||
\(640\) | −1.30353e6 | + | 196476.i | −0.125797 | + | 0.0189609i | ||||
\(641\) | 854259. | − | 411389.i | 0.0821191 | − | 0.0395465i | −0.392373 | − | 0.919806i | \(-0.628346\pi\) |
0.474493 | + | 0.880260i | \(0.342632\pi\) | |||||||
\(642\) | 1.67291e6 | + | 1.55223e6i | 0.160190 | + | 0.148634i | ||||
\(643\) | 2.21208e6 | + | 9.69175e6i | 0.210996 | + | 0.924432i | 0.963892 | + | 0.266293i | \(0.0857989\pi\) |
−0.752897 | + | 0.658139i | \(0.771344\pi\) | |||||||
\(644\) | −5.12836e6 | −0.487263 | ||||||||
\(645\) | −65842.1 | − | 749824.i | −0.00623167 | − | 0.0709676i | ||||
\(646\) | 2.10163e7 | 1.98142 | ||||||||
\(647\) | −2.90389e6 | − | 1.27228e7i | −0.272721 | − | 1.19487i | −0.906786 | − | 0.421590i | \(-0.861472\pi\) |
0.634065 | − | 0.773280i | \(-0.281385\pi\) | |||||||
\(648\) | −6.81115e6 | − | 6.31983e6i | −0.637211 | − | 0.591245i | ||||
\(649\) | 1.68638e7 | − | 8.12117e6i | 1.57160 | − | 0.756845i | ||||
\(650\) | −2.09921e7 | + | 3.16405e6i | −1.94883 | + | 0.293738i | ||||
\(651\) | −1.21025e6 | + | 2.09622e6i | −0.111924 | + | 0.193858i | ||||
\(652\) | 2.03777e6 | + | 3.52952e6i | 0.187731 | + | 0.325160i | ||||
\(653\) | −1.04701e7 | − | 1.31290e7i | −0.960873 | − | 1.20490i | −0.978750 | − | 0.205056i | \(-0.934262\pi\) |
0.0178774 | − | 0.999840i | \(-0.494309\pi\) | |||||||
\(654\) | −202231. | − | 2.69859e6i | −0.0184886 | − | 0.246713i | ||||
\(655\) | −329906. | − | 840588.i | −0.0300461 | − | 0.0765561i | ||||
\(656\) | −3.66804e6 | − | 1.76643e6i | −0.332793 | − | 0.160265i | ||||
\(657\) | −1.48309e7 | − | 4.57473e6i | −1.34046 | − | 0.413478i | ||||
\(658\) | −2.48048e6 | + | 6.32016e6i | −0.223342 | + | 0.569067i | ||||
\(659\) | −1.11342e7 | + | 1.03310e7i | −0.998723 | + | 0.926679i | −0.997308 | − | 0.0733197i | \(-0.976641\pi\) |
−0.00141425 | + | 0.999999i | \(0.500450\pi\) | |||||||
\(660\) | 2.48757e6 | + | 1.69600e6i | 0.222288 | + | 0.151553i | ||||
\(661\) | −1.24849e7 | + | 1.56556e7i | −1.11143 | + | 1.39369i | −0.201222 | + | 0.979546i | \(0.564491\pi\) |
−0.910210 | + | 0.414147i | \(0.864080\pi\) | |||||||
\(662\) | 270492. | + | 40770.1i | 0.0239888 | + | 0.00361574i | ||||
\(663\) | 6.71514e6 | − | 2.07135e6i | 0.593296 | − | 0.183007i | ||||
\(664\) | −3.12197e6 | + | 4.16598e7i | −0.274795 | + | 3.66688i | ||||
\(665\) | 1.17949e6 | − | 804161.i | 0.103428 | − | 0.0705162i | ||||
\(666\) | 3.75236e6 | − | 1.64401e7i | 0.327807 | − | 1.43622i | ||||
\(667\) | −505149. | + | 2.21320e6i | −0.0439648 | + | 0.192622i | ||||
\(668\) | 2.67984e7 | − | 1.82708e7i | 2.32363 | − | 1.58423i | ||||
\(669\) | −54542.0 | + | 727813.i | −0.00471157 | + | 0.0628716i | ||||
\(670\) | −4.83495e6 | + | 1.49139e6i | −0.416107 | + | 0.128352i | ||||
\(671\) | 4.10209e6 | + | 618291.i | 0.351722 | + | 0.0530135i | ||||
\(672\) | −8.73601e6 | + | 1.09546e7i | −0.746260 | + | 0.935780i | ||||
\(673\) | 1.29539e7 | + | 8.83179e6i | 1.10246 | + | 0.751642i | 0.970857 | − | 0.239661i | \(-0.0770363\pi\) |
0.131600 | + | 0.991303i | \(0.457989\pi\) | |||||||
\(674\) | 1.97491e7 | − | 1.83245e7i | 1.67455 | − | 1.55376i | ||||
\(675\) | 3.72521e6 | − | 9.49169e6i | 0.314696 | − | 0.801833i | ||||
\(676\) | 4.25400e6 | + | 1.31219e6i | 0.358039 | + | 0.110441i | ||||
\(677\) | 1.03729e7 | + | 4.99530e6i | 0.869814 | + | 0.418881i | 0.814894 | − | 0.579610i | \(-0.196795\pi\) |
0.0549206 | + | 0.998491i | \(0.482509\pi\) | |||||||
\(678\) | −2.98812e6 | − | 7.61360e6i | −0.249645 | − | 0.636086i | ||||
\(679\) | 1.36849e6 | + | 1.82613e7i | 0.113912 | + | 1.52004i | ||||
\(680\) | −3.49839e6 | − | 4.38685e6i | −0.290133 | − | 0.363815i | ||||
\(681\) | 163379. | + | 282981.i | 0.0134999 | + | 0.0233824i | ||||
\(682\) | 7.87626e6 | − | 1.36421e7i | 0.648424 | − | 1.12310i | ||||
\(683\) | −221285. | + | 33353.4i | −0.0181510 | + | 0.00273582i | −0.158111 | − | 0.987421i | \(-0.550541\pi\) |
0.139960 | + | 0.990157i | \(0.455302\pi\) | |||||||
\(684\) | −1.90384e7 | + | 9.16843e6i | −1.55593 | + | 0.749298i | ||||
\(685\) | 2.13664e6 | + | 1.98251e6i | 0.173982 | + | 0.161432i | ||||
\(686\) | −5.31203e6 | − | 2.32735e7i | −0.430974 | − | 1.88822i | ||||
\(687\) | 3.80427e6 | 0.307524 | ||||||||
\(688\) | −3.52102e7 | + | 450207.i | −2.83594 | + | 0.0362611i | ||||
\(689\) | 2.21580e7 | 1.77821 | ||||||||
\(690\) | −74573.7 | − | 326729.i | −0.00596297 | − | 0.0261255i | ||||
\(691\) | −8.12699e6 | − | 7.54075e6i | −0.647493 | − | 0.600785i | 0.286499 | − | 0.958081i | \(-0.407509\pi\) |
−0.933992 | + | 0.357295i | \(0.883699\pi\) | |||||||
\(692\) | −4.28253e7 | + | 2.06236e7i | −3.39965 | + | 1.63719i | ||||
\(693\) | −1.34802e7 | + | 2.03182e6i | −1.06626 | + | 0.160713i | ||||
\(694\) | −7.24719e6 | + | 1.25525e7i | −0.571177 | + | 0.989308i | ||||
\(695\) | −192274. | − | 333028.i | −0.0150993 | − | 0.0261528i | ||||
\(696\) | 1.12834e7 | + | 1.41490e7i | 0.882912 | + | 1.10714i | ||||
\(697\) | −143709. | − | 1.91767e6i | −0.0112048 | − | 0.149517i | ||||
\(698\) | 5.86071e6 | + | 1.49328e7i | 0.455314 | + | 1.16012i | ||||
\(699\) | 5.52664e6 | + | 2.66149e6i | 0.427827 | + | 0.206031i | ||||
\(700\) | 2.95104e7 | + | 9.10275e6i | 2.27630 | + | 0.702146i | ||||
\(701\) | −736689. | + | 1.87705e6i | −0.0566225 | + | 0.144272i | −0.956386 | − | 0.292106i | \(-0.905644\pi\) |
0.899763 | + | 0.436378i | \(0.143739\pi\) | |||||||
\(702\) | −1.69203e7 | + | 1.56997e7i | −1.29588 | + | 1.20240i | ||||
\(703\) | −1.04383e7 | − | 7.11670e6i | −0.796601 | − | 0.543113i | ||||
\(704\) | 2.20254e7 | − | 2.76190e7i | 1.67491 | − | 2.10027i | ||||
\(705\) | −314140. | − | 47349.0i | −0.0238040 | − | 0.00358788i | ||||
\(706\) | 2.58507e6 | − | 797390.i | 0.195192 | − | 0.0602087i | ||||
\(707\) | 128738. | − | 1.71788e6i | 0.00968627 | − | 0.129254i | ||||
\(708\) | −1.62847e7 | + | 1.11027e7i | −1.22095 | + | 0.832429i | ||||
\(709\) | −2.44001e6 | + | 1.06904e7i | −0.182295 | + | 0.798688i | 0.798239 | + | 0.602341i | \(0.205765\pi\) |
−0.980534 | + | 0.196347i | \(0.937092\pi\) | |||||||
\(710\) | 921234. | − | 4.03619e6i | 0.0685842 | − | 0.300487i | ||||
\(711\) | −9.71810e6 | + | 6.62569e6i | −0.720953 | + | 0.491538i | ||||
\(712\) | −3.66420e6 | + | 4.88954e7i | −0.270882 | + | 3.61467i | ||||
\(713\) | −1.19974e6 | + | 370070.i | −0.0883816 | + | 0.0272621i | ||||
\(714\) | −1.41177e7 | − | 2.12789e6i | −1.03638 | − | 0.156208i | ||||
\(715\) | −1.93685e6 | + | 2.42873e6i | −0.141687 | + | 0.177670i | ||||
\(716\) | −1.29821e7 | − | 8.85106e6i | −0.946375 | − | 0.645228i | ||||
\(717\) | 366175. | − | 339761.i | 0.0266005 | − | 0.0246817i | ||||
\(718\) | 1.41333e7 | − | 3.60111e7i | 1.02313 | − | 2.60690i | ||||
\(719\) | 1.22047e7 | + | 3.76465e6i | 0.880449 | + | 0.271583i | 0.701838 | − | 0.712337i | \(-0.252363\pi\) |
0.178612 | + | 0.983920i | \(0.442839\pi\) | |||||||
\(720\) | 3.75793e6 | + | 1.80972e6i | 0.270157 | + | 0.130101i | ||||
\(721\) | −9.15464e6 | − | 2.33256e7i | −0.655848 | − | 1.67107i | ||||
\(722\) | −311992. | − | 4.16324e6i | −0.0222741 | − | 0.297227i | ||||
\(723\) | −10058.7 | − | 12613.1i | −0.000715639 | − | 0.000897383i | ||||
\(724\) | 1.34011e7 | + | 2.32114e7i | 0.950156 | + | 1.64572i | ||||
\(725\) | 6.83521e6 | − | 1.18389e7i | 0.482955 | − | 0.836503i | ||||
\(726\) | −1.64861e7 | + | 2.48487e6i | −1.16085 | + | 0.174970i | ||||
\(727\) | 1.42299e7 | − | 6.85276e6i | 0.998541 | − | 0.480872i | 0.138098 | − | 0.990419i | \(-0.455901\pi\) |
0.860443 | + | 0.509547i | \(0.170187\pi\) | |||||||
\(728\) | −3.09223e7 | − | 2.86917e7i | −2.16243 | − | 2.00644i | ||||
\(729\) | −686314. | − | 3.00694e6i | −0.0478304 | − | 0.209559i | ||||
\(730\) | 7.18528e6 | 0.499042 | ||||||||
\(731\) | −8.49995e6 | − | 1.42970e7i | −0.588333 | − | 0.989584i | ||||
\(732\) | −4.36831e6 | −0.301325 | ||||||||
\(733\) | 40176.5 | + | 176025.i | 0.00276193 | + | 0.0121008i | 0.976290 | − | 0.216466i | \(-0.0694531\pi\) |
−0.973528 | + | 0.228567i | \(0.926596\pi\) | |||||||
\(734\) | 1.96585e7 | + | 1.82404e7i | 1.34682 | + | 1.24967i | ||||
\(735\) | 66323.1 | − | 31939.5i | 0.00452842 | − | 0.00218077i | ||||
\(736\) | −7.18657e6 | + | 1.08320e6i | −0.489021 | + | 0.0737080i | ||||
\(737\) | 1.80999e7 | − | 3.13499e7i | 1.22746 | − | 2.12602i | ||||
\(738\) | 1.35019e6 | + | 2.33860e6i | 0.0912546 | + | 0.158058i | ||||
\(739\) | −8.83775e6 | − | 1.10822e7i | −0.595293 | − | 0.746473i | 0.389343 | − | 0.921093i | \(-0.372702\pi\) |
−0.984636 | + | 0.174619i | \(0.944131\pi\) | |||||||
\(740\) | 417731. | + | 5.57423e6i | 0.0280425 | + | 0.374202i | ||||
\(741\) | 2.70095e6 | + | 6.88191e6i | 0.180705 | + | 0.460430i | ||||
\(742\) | −4.05592e7 | − | 1.95323e7i | −2.70445 | − | 1.30240i | ||||
\(743\) | 1.70940e7 | + | 5.27280e6i | 1.13598 | + | 0.350404i | 0.805025 | − | 0.593241i | \(-0.202152\pi\) |
0.330958 | + | 0.943646i | \(0.392628\pi\) | |||||||
\(744\) | −3.65665e6 | + | 9.31698e6i | −0.242187 | + | 0.617082i | ||||
\(745\) | −2.64426e6 | + | 2.45351e6i | −0.174547 | + | 0.161956i | ||||
\(746\) | 3.06364e7 | + | 2.08875e7i | 2.01554 | + | 1.37417i | ||||
\(747\) | 9.14591e6 | − | 1.14686e7i | 0.599688 | − | 0.751985i | ||||
\(748\) | 6.57860e7 | + | 9.91565e6i | 4.29912 | + | 0.647988i | ||||
\(749\) | 3.27321e6 | − | 1.00965e6i | 0.213191 | − | 0.0657608i | ||||
\(750\) | −304714. | + | 4.06612e6i | −0.0197806 | + | 0.263953i | ||||
\(751\) | −4.36944e6 | + | 2.97903e6i | −0.282700 | + | 0.192742i | −0.696366 | − | 0.717687i | \(-0.745201\pi\) |
0.413665 | + | 0.910429i | \(0.364248\pi\) | |||||||
\(752\) | −3.30711e6 | + | 1.44894e7i | −0.213257 | + | 0.934342i | ||||
\(753\) | 585290. | − | 2.56432e6i | 0.0376170 | − | 0.164811i | ||||
\(754\) | −2.55687e7 | + | 1.74324e7i | −1.63787 | + | 1.11668i | ||||
\(755\) | 62056.5 | − | 828087.i | 0.00396205 | − | 0.0528699i | ||||
\(756\) | 3.20859e7 | − | 9.89717e6i | 2.04178 | − | 0.629806i | ||||
\(757\) | −2.61660e7 | − | 3.94388e6i | −1.65957 | − | 0.250141i | −0.748726 | − | 0.662880i | \(-0.769334\pi\) |
−0.910849 | + | 0.412739i | \(0.864572\pi\) | |||||||
\(758\) | 3.00192e7 | − | 3.76429e7i | 1.89769 | − | 2.37963i | ||||
\(759\) | 1.98106e6 | + | 1.35066e6i | 0.124822 | + | 0.0851025i | ||||
\(760\) | 4.32714e6 | − | 4.01500e6i | 0.271748 | − | 0.252146i | ||||
\(761\) | −1.00011e7 | + | 2.54824e7i | −0.626016 | + | 1.59506i | 0.167064 | + | 0.985946i | \(0.446571\pi\) |
−0.793080 | + | 0.609117i | \(0.791524\pi\) | |||||||
\(762\) | 1.68401e7 | + | 5.19448e6i | 1.05065 | + | 0.324082i | ||||
\(763\) | −3.65962e6 | − | 1.76238e6i | −0.227575 | − | 0.109594i | ||||
\(764\) | −3.08180e6 | − | 7.85231e6i | −0.191017 | − | 0.486703i | ||||
\(765\) | 147231. | + | 1.96466e6i | 0.00909590 | + | 0.121376i | ||||
\(766\) | 2.13147e7 | + | 2.67278e7i | 1.31252 | + | 1.64585i | ||||
\(767\) | −1.01681e7 | − | 1.76117e7i | −0.624097 | − | 1.08097i | ||||
\(768\) | 441412. | − | 764548.i | 0.0270048 | − | 0.0467737i | ||||
\(769\) | 1.70365e6 | − | 256784.i | 0.103888 | − | 0.0156586i | −0.0968925 | − | 0.995295i | \(-0.530890\pi\) |
0.200780 | + | 0.979636i | \(0.435652\pi\) | |||||||
\(770\) | 5.68624e6 | − | 2.73835e6i | 0.345619 | − | 0.166441i | ||||
\(771\) | −4.33930e6 | − | 4.02628e6i | −0.262896 | − | 0.243932i | ||||
\(772\) | −2.39169e6 | − | 1.04787e7i | −0.144431 | − | 0.632795i | ||||
\(773\) | −2.24188e7 | −1.34947 | −0.674736 | − | 0.738059i | \(-0.735743\pi\) | ||||
−0.674736 | + | 0.738059i | \(0.735743\pi\) | |||||||
\(774\) | 1.94646e7 | + | 1.29093e7i | 1.16787 | + | 0.774552i | ||||
\(775\) | 7.56058e6 | 0.452169 | ||||||||
\(776\) | 1.68498e7 | + | 7.38240e7i | 1.00448 | + | 4.40092i | ||||
\(777\) | 6.29132e6 | + | 5.83749e6i | 0.373843 | + | 0.346875i | ||||
\(778\) | 2.39136e7 | − | 1.15162e7i | 1.41643 | − | 0.682117i | ||||
\(779\) | 2.00050e6 | − | 301527.i | 0.118112 | − | 0.0178025i | ||||
\(780\) | 1.63556e6 | − | 2.83287e6i | 0.0962563 | − | 0.166721i | ||||
\(781\) | 1.48097e7 | + | 2.56511e7i | 0.868797 | + | 1.50480i | ||||
\(782\) | −4.61727e6 | − | 5.78988e6i | −0.270003 | − | 0.338573i | ||||
\(783\) | −1.11075e6 | − | 1.48219e7i | −0.0647458 | − | 0.863973i | ||||
\(784\) | −1.25814e6 | − | 3.20569e6i | −0.0731037 | − | 0.186265i | ||||
\(785\) | −2.60154e6 | − | 1.25284e6i | −0.150680 | − | 0.0725638i | ||||
\(786\) | −9.07894e6 | − | 2.80048e6i | −0.524178 | − | 0.161688i | ||||
\(787\) | 8.40682e6 | − | 2.14202e7i | 0.483832 | − | 1.23278i | −0.455642 | − | 0.890163i | \(-0.650590\pi\) |
0.939474 | − | 0.342621i | \(-0.111315\pi\) | |||||||
\(788\) | 2.00827e6 | − | 1.86340e6i | 0.115214 | − | 0.106903i | ||||
\(789\) | 1.50640e6 | + | 1.02705e6i | 0.0861485 | + | 0.0587350i | ||||
\(790\) | 3.39504e6 | − | 4.25725e6i | 0.193543 | − | 0.242695i | ||||
\(791\) | −1.21393e7 | − | 1.82971e6i | −0.689847 | − | 0.103978i | ||||
\(792\) | −5.38663e7 | + | 1.66155e7i | −3.05143 | + | 0.941243i | ||||
\(793\) | 336825. | − | 4.49462e6i | 0.0190205 | − | 0.253811i | ||||
\(794\) | 2.53311e6 | − | 1.72705e6i | 0.142595 | − | 0.0972194i | ||||
\(795\) | 468721. | − | 2.05360e6i | 0.0263025 | − | 0.115239i | ||||
\(796\) | 8.29288e6 | − | 3.63335e7i | 0.463898 | − | 2.03247i | ||||
\(797\) | 5.89461e6 | − | 4.01888e6i | 0.328707 | − | 0.224109i | −0.387709 | − | 0.921782i | \(-0.626733\pi\) |
0.716416 | + | 0.697673i | \(0.245781\pi\) | |||||||
\(798\) | 1.12244e6 | − | 1.49779e7i | 0.0623958 | − | 0.832615i | ||||
\(799\) | −6.70821e6 | + | 2.06921e6i | −0.371741 | + | 0.114667i | ||||
\(800\) | 4.32768e7 | + | 6.52292e6i | 2.39073 | + | 0.360344i | ||||
\(801\) | 1.07344e7 | − | 1.34605e7i | 0.591148 | − | 0.741276i | ||||
\(802\) | 2.28697e7 | + | 1.55923e7i | 1.25552 | + | 0.856002i | ||||
\(803\) | −3.76839e7 | + | 3.49656e7i | −2.06237 | + | 1.91360i | ||||
\(804\) | −1.39262e7 | + | 3.54835e7i | −0.759791 | + | 1.93591i | ||||
\(805\) | −480674. | − | 148268.i | −0.0261434 | − | 0.00806416i | ||||
\(806\) | −1.54200e7 | − | 7.42590e6i | −0.836080 | − | 0.402635i | ||||
\(807\) | −1.61032e6 | − | 4.10303e6i | −0.0870419 | − | 0.221779i | ||||
\(808\) | −532333. | − | 7.10349e6i | −0.0286850 | − | 0.382775i | ||||
\(809\) | 7.56470e6 | + | 9.48584e6i | 0.406369 | + | 0.509571i | 0.942336 | − | 0.334668i | \(-0.108624\pi\) |
−0.535967 | + | 0.844239i | \(0.680053\pi\) | |||||||
\(810\) | −755197. | − | 1.30804e6i | −0.0404434 | − | 0.0700500i | ||||
\(811\) | 2.79569e6 | − | 4.84228e6i | 0.149258 | − | 0.258522i | −0.781696 | − | 0.623660i | \(-0.785645\pi\) |
0.930953 | + | 0.365138i | \(0.118978\pi\) | |||||||
\(812\) | 4.45145e7 | − | 6.70948e6i | 2.36925 | − | 0.357107i | ||||
\(813\) | 6.11075e6 | − | 2.94278e6i | 0.324241 | − | 0.156146i | ||||
\(814\) | −4.09435e7 | − | 3.79900e7i | −2.16583 | − | 2.00960i | ||||
\(815\) | 88953.9 | + | 389733.i | 0.00469106 | + | 0.0205529i | ||||
\(816\) | −3.12522e7 | −1.64307 | ||||||||
\(817\) | 1.43306e7 | − | 1.00412e7i | 0.751118 | − | 0.526296i | ||||
\(818\) | −5.38840e7 | −2.81564 | ||||||||
\(819\) | 3.29588e6 | + | 1.44402e7i | 0.171697 | + | 0.752252i | ||||
\(820\) | −656188. | − | 608854.i | −0.0340795 | − | 0.0316212i | ||||
\(821\) | 4.69689e6 | − | 2.26190e6i | 0.243194 | − | 0.117116i | −0.308317 | − | 0.951284i | \(-0.599766\pi\) |
0.551511 | + | 0.834168i | \(0.314051\pi\) | |||||||
\(822\) | 3.03248e7 | − | 4.57073e6i | 1.56537 | − | 0.235942i | ||||
\(823\) | −9.63070e6 | + | 1.66809e7i | −0.495631 | + | 0.858458i | −0.999987 | − | 0.00503781i | \(-0.998396\pi\) |
0.504357 | + | 0.863496i | \(0.331730\pi\) | |||||||
\(824\) | −5.18073e7 | − | 8.97329e7i | −2.65811 | − | 4.60398i | ||||
\(825\) | −9.00232e6 | − | 1.12885e7i | −0.460489 | − | 0.577435i | ||||
\(826\) | 3.08756e6 | + | 4.12006e7i | 0.157458 | + | 2.10113i | ||||
\(827\) | −7.24662e6 | − | 1.84641e7i | −0.368444 | − | 0.938781i | −0.988087 | − | 0.153897i | \(-0.950818\pi\) |
0.619642 | − | 0.784884i | \(-0.287278\pi\) | |||||||
\(828\) | 6.70858e6 | + | 3.23068e6i | 0.340059 | + | 0.163764i | ||||
\(829\) | −2.41080e7 | − | 7.43633e6i | −1.21836 | − | 0.375813i | −0.382084 | − | 0.924128i | \(-0.624794\pi\) |
−0.836272 | + | 0.548314i | \(0.815270\pi\) | |||||||
\(830\) | −2.48105e6 | + | 6.32162e6i | −0.125009 | + | 0.318517i | ||||
\(831\) | −1.12583e7 | + | 1.04462e7i | −0.565548 | + | 0.524752i | ||||
\(832\) | −3.17121e7 | − | 2.16210e7i | −1.58824 | − | 1.08285i | ||||
\(833\) | 1.01421e6 | − | 1.27177e6i | 0.0506423 | − | 0.0635034i | ||||
\(834\) | −4.00084e6 | − | 603029.i | −0.199175 | − | 0.0300209i | ||||
\(835\) | 3.04002e6 | − | 937721.i | 0.150890 | − | 0.0465433i | ||||
\(836\) | −5.23039e6 | + | 6.97947e7i | −0.258832 | + | 3.45388i | ||||
\(837\) | 6.79202e6 | − | 4.63072e6i | 0.335109 | − | 0.228473i | ||||
\(838\) | −2.34010e6 | + | 1.02526e7i | −0.115113 | + | 0.504343i | ||||
\(839\) | −6.14298e6 | + | 2.69141e7i | −0.301283 | + | 1.32000i | 0.566911 | + | 0.823779i | \(0.308138\pi\) |
−0.868193 | + | 0.496226i | \(0.834719\pi\) | |||||||
\(840\) | −3.31326e6 | + | 2.25894e6i | −0.162016 | + | 0.110460i | ||||
\(841\) | −43626.1 | + | 582150.i | −0.00212695 | + | 0.0283821i | ||||
\(842\) | 1.89255e7 | − | 5.83774e6i | 0.919955 | − | 0.283769i | ||||
\(843\) | −5.88328e6 | − | 886762.i | −0.285135 | − | 0.0429772i | ||||
\(844\) | 5.08384e6 | − | 6.37493e6i | 0.245661 | − | 0.308049i | ||||
\(845\) | 360785. | + | 245979.i | 0.0173823 | + | 0.0118510i | ||||
\(846\) | 7.22627e6 | − | 6.70500e6i | 0.347127 | − | 0.322087i | ||||
\(847\) | −9.14253e6 | + | 2.32948e7i | −0.437883 | + | 1.11571i | ||||
\(848\) | −9.41638e7 | − | 2.90457e7i | −4.49670 | − | 1.38705i | ||||
\(849\) | 1.45554e7 | + | 7.00949e6i | 0.693032 | + | 0.333747i | ||||
\(850\) | 1.62925e7 | + | 4.15126e7i | 0.773465 | + | 1.97076i | ||||
\(851\) | 332673. | + | 4.43922e6i | 0.0157469 | + | 0.210127i | ||||
\(852\) | −1.94462e7 | − | 2.43848e7i | −0.917775 | − | 1.15085i | ||||
\(853\) | 1.34499e7 | + | 2.32959e7i | 0.632917 | + | 1.09624i | 0.986952 | + | 0.161012i | \(0.0514759\pi\) |
−0.354035 | + | 0.935232i | \(0.615191\pi\) | |||||||
\(854\) | −4.57856e6 | + | 7.93029e6i | −0.214824 | + | 0.372087i | ||||
\(855\) | −2.04952e6 | + | 308916.i | −0.0958820 | + | 0.0144519i | ||||
\(856\) | 1.27614e7 | − | 6.14556e6i | 0.595270 | − | 0.286667i | ||||
\(857\) | 7.78910e6 | + | 7.22723e6i | 0.362272 | + | 0.336139i | 0.840217 | − | 0.542250i | \(-0.182428\pi\) |
−0.477945 | + | 0.878390i | \(0.658618\pi\) | |||||||
\(858\) | 7.27304e6 | + | 3.18653e7i | 0.337286 | + | 1.47774i | ||||
\(859\) | 1.15172e7 | 0.532554 | 0.266277 | − | 0.963897i | \(-0.414206\pi\) | ||||
0.266277 | + | 0.963897i | \(0.414206\pi\) | |||||||
\(860\) | −7.42696e6 | − | 2.18732e6i | −0.342425 | − | 0.100848i | ||||
\(861\) | −1.37436e6 | −0.0631818 | ||||||||
\(862\) | 6.07548e6 | + | 2.66184e7i | 0.278492 | + | 1.22015i | ||||
\(863\) | −1.25844e7 | − | 1.16766e7i | −0.575180 | − | 0.533689i | 0.338053 | − | 0.941127i | \(-0.390232\pi\) |
−0.913233 | + | 0.407438i | \(0.866422\pi\) | |||||||
\(864\) | 4.28727e7 | − | 2.06464e7i | 1.95387 | − | 0.940936i | ||||
\(865\) | −4.61022e6 | + | 694878.i | −0.209499 | + | 0.0315768i | ||||
\(866\) | 3.49820e7 | − | 6.05905e7i | 1.58507 | − | 2.74543i | ||||
\(867\) | −1.81217e6 | − | 3.13877e6i | −0.0818751 | − | 0.141812i | ||||
\(868\) | 1.55232e7 | + | 1.94655e7i | 0.699331 | + | 0.876933i | ||||
\(869\) | 2.91131e6 | + | 3.88487e7i | 0.130779 | + | 1.74513i | ||||
\(870\) | 1.07477e6 | + | 2.73846e6i | 0.0481411 | + | 0.122661i | ||||
\(871\) | −3.54357e7 | − | 1.70649e7i | −1.58269 | − | 0.762183i | ||||
\(872\) | −1.60497e7 | − | 4.95068e6i | −0.714787 | − | 0.220482i | ||||
\(873\) | 9.71377e6 | − | 2.47503e7i | 0.431372 | − | 1.09912i | ||||
\(874\) | 5.71107e6 | − | 5.29910e6i | 0.252894 | − | 0.234652i | ||||
\(875\) | 5.05679e6 | + | 3.44766e6i | 0.223282 | + | 0.152231i | ||||
\(876\) | 3.37505e7 | − | 4.23218e7i | 1.48600 | − | 1.86339i | ||||
\(877\) | 775912. | + | 116950.i | 0.0340654 | + | 0.00513453i | 0.166053 | − | 0.986117i | \(-0.446898\pi\) |
−0.131987 | + | 0.991251i | \(0.542136\pi\) | |||||||
\(878\) | 4.65874e7 | − | 1.43703e7i | 2.03954 | − | 0.629115i | ||||
\(879\) | −1.05248e6 | + | 1.40443e7i | −0.0459452 | + | 0.613097i | ||||
\(880\) | 1.14146e7 | − | 7.78235e6i | 0.496883 | − | 0.338769i | ||||
\(881\) | −5.30518e6 | + | 2.32435e7i | −0.230282 | + | 1.00893i | 0.719124 | + | 0.694882i | \(0.244543\pi\) |
−0.949406 | + | 0.314051i | \(0.898314\pi\) | |||||||
\(882\) | −508281. | + | 2.22693e6i | −0.0220005 | + | 0.0963905i | ||||
\(883\) | −2.36175e7 | + | 1.61021e7i | −1.01937 | + | 0.694995i | −0.953053 | − | 0.302804i | \(-0.902077\pi\) |
−0.0663175 | + | 0.997799i | \(0.521125\pi\) | |||||||
\(884\) | 5.40173e6 | − | 7.20811e7i | 0.232489 | − | 3.10235i | ||||
\(885\) | −1.84734e6 | + | 569830.i | −0.0792847 | + | 0.0244561i | ||||
\(886\) | −2.82298e7 | − | 4.25495e6i | −1.20816 | − | 0.182100i | ||||
\(887\) | −4.84713e6 | + | 6.07811e6i | −0.206860 | + | 0.259394i | −0.874429 | − | 0.485154i | \(-0.838763\pi\) |
0.667569 | + | 0.744548i | \(0.267335\pi\) | |||||||
\(888\) | 2.93218e7 | + | 1.99913e7i | 1.24784 | + | 0.850762i | ||||
\(889\) | 1.93905e7 | − | 1.79917e7i | 0.822875 | − | 0.763517i | ||||
\(890\) | −2.91197e6 | + | 7.41958e6i | −0.123229 | + | 0.313982i | ||||
\(891\) | 1.03260e7 | + | 3.18514e6i | 0.435749 | + | 0.134411i | ||||
\(892\) | 6.76381e6 | + | 3.25728e6i | 0.284629 | + | 0.137070i | ||||
\(893\) | −2.69816e6 | − | 6.87481e6i | −0.113224 | − | 0.288491i | ||||
\(894\) | 2.83625e6 | + | 3.78471e7i | 0.118686 | + | 1.58376i | ||||
\(895\) | −960901. | − | 1.20493e6i | −0.0400979 | − | 0.0502811i | ||||
\(896\) | 1.04093e7 | + | 1.80294e7i | 0.433163 | + | 0.750261i | ||||
\(897\) | 1.30253e6 | − | 2.25605e6i | 0.0540513 | − | 0.0936196i | ||||
\(898\) | −2.35188e7 | + | 3.54489e6i | −0.973250 | + | 0.146694i | ||||
\(899\) | 9.92963e6 | − | 4.78186e6i | 0.409764 | − | 0.197332i | ||||
\(900\) | −3.28691e7 | − | 3.04981e7i | −1.35264 | − | 1.25507i | ||||
\(901\) | −1.03575e7 | − | 4.53793e7i | −0.425054 | − | 1.86228i | ||||
\(902\) | 8.94423e6 | 0.366038 | ||||||||
\(903\) | −1.06432e7 | + | 5.29417e6i | −0.434362 | + | 0.216062i | ||||
\(904\) | −5.07634e7 | −2.06600 | ||||||||
\(905\) | 584994. | + | 2.56303e6i | 0.0237427 | + | 0.104024i | ||||
\(906\) | −6.40481e6 | − | 5.94279e6i | −0.259230 | − | 0.240530i | ||||
\(907\) | −2.95902e7 | + | 1.42499e7i | −1.19435 | + | 0.575166i | −0.922059 | − | 0.387050i | \(-0.873494\pi\) |
−0.272286 | + | 0.962216i | \(0.587780\pi\) | |||||||
\(908\) | 3.32349e6 | − | 500936.i | 0.133777 | − | 0.0201636i | ||||
\(909\) | −1.25061e6 | + | 2.16612e6i | −0.0502010 | + | 0.0869507i | ||||
\(910\) | −3.42855e6 | − | 5.93843e6i | −0.137248 | − | 0.237721i | ||||
\(911\) | 2.38183e7 | + | 2.98673e7i | 0.950858 | + | 1.19234i | 0.981238 | + | 0.192799i | \(0.0617567\pi\) |
−0.0303804 | + | 0.999538i | \(0.509672\pi\) | |||||||
\(912\) | −2.45699e6 | − | 3.27863e7i | −0.0978174 | − | 1.30528i | ||||
\(913\) | −1.77506e7 | − | 4.52278e7i | −0.704752 | − | 1.79568i | ||||
\(914\) | 1.52662e6 | + | 735180.i | 0.0604456 | + | 0.0291091i | ||||
\(915\) | −409436. | − | 126294.i | −0.0161672 | − | 0.00498691i | ||||
\(916\) | 1.42960e7 | − | 3.64257e7i | 0.562959 | − | 1.43440i | ||||
\(917\) | −1.04539e7 | + | 9.69982e6i | −0.410540 | + | 0.380926i | ||||
\(918\) | 4.00621e7 | + | 2.73139e7i | 1.56901 | + | 1.06974i | ||||
\(919\) | 4.53706e6 | − | 5.68929e6i | 0.177209 | − | 0.222213i | −0.685292 | − | 0.728268i | \(-0.740325\pi\) |
0.862501 | + | 0.506055i | \(0.168897\pi\) | |||||||
\(920\) | −2.05678e6 | − | 310009.i | −0.0801158 | − | 0.0120755i | ||||
\(921\) | 1.94600e7 | − | 6.00260e6i | 0.755950 | − | 0.233180i | ||||
\(922\) | 2.86889e6 | − | 3.82827e7i | 0.111144 | − | 1.48312i | ||||
\(923\) | 2.65893e7 | − | 1.81283e7i | 1.02731 | − | 0.700410i | ||||
\(924\) | 1.05802e7 | − | 4.63548e7i | 0.407674 | − | 1.78614i | ||||
\(925\) | 5.96522e6 | − | 2.61353e7i | 0.229230 | − | 1.00432i | ||||
\(926\) | −5.06601e6 | + | 3.45394e6i | −0.194150 | + | 0.132369i | ||||
\(927\) | −2.71882e6 | + | 3.62801e7i | −0.103916 | + | 1.38666i | ||||
\(928\) | 6.09627e7 | − | 1.88045e7i | 2.32378 | − | 0.716790i | ||||
\(929\) | −4.98024e6 | − | 750651.i | −0.189326 | − | 0.0285364i | 0.0536945 | − | 0.998557i | \(-0.482900\pi\) |
−0.243021 | + | 0.970021i | \(0.578138\pi\) | |||||||
\(930\) | −1.01442e6 | + | 1.27204e6i | −0.0384601 | + | 0.0482275i | ||||
\(931\) | 1.41393e6 | + | 964004.i | 0.0534632 | + | 0.0364506i | ||||
\(932\) | 4.62522e7 | − | 4.29157e7i | 1.74418 | − | 1.61837i | ||||
\(933\) | −8.85007e6 | + | 2.25496e7i | −0.332845 | + | 0.848076i | ||||
\(934\) | −6.83545e7 | − | 2.10846e7i | −2.56389 | − | 0.790856i | ||||
\(935\) | 5.87937e6 | + | 2.83135e6i | 0.219939 | + | 0.105917i | ||||
\(936\) | 2.23757e7 | + | 5.70124e7i | 0.834810 | + | 2.12706i | ||||
\(937\) | 2.58315e6 | + | 3.44698e7i | 0.0961171 | + | 1.28259i | 0.811704 | + | 0.584070i | \(0.198541\pi\) |
−0.715586 | + | 0.698524i | \(0.753840\pi\) | |||||||
\(938\) | 4.98207e7 | + | 6.24732e7i | 1.84885 | + | 2.31839i | ||||
\(939\) | 4.20659e6 | + | 7.28602e6i | 0.155692 | + | 0.269666i | ||||
\(940\) | −1.63387e6 | + | 2.82995e6i | −0.0603112 | + | 0.104462i | ||||
\(941\) | −2.38802e7 | + | 3.59936e6i | −0.879151 | + | 0.132511i | −0.573082 | − | 0.819498i | \(-0.694252\pi\) |
−0.306070 | + | 0.952009i | \(0.599014\pi\) | |||||||
\(942\) | −2.73722e7 | + | 1.31818e7i | −1.00504 | + | 0.484001i | ||||
\(943\) | −522577. | − | 484880.i | −0.0191369 | − | 0.0177564i | ||||
\(944\) | 2.01248e7 | + | 8.81725e7i | 0.735024 | + | 3.22035i | ||||
\(945\) | 3.29351e6 | 0.119972 | ||||||||
\(946\) | 6.92651e7 | − | 3.44541e7i | 2.51644 | − | 1.25174i | ||||
\(947\) | 1.40545e7 | 0.509260 | 0.254630 | − | 0.967038i | \(-0.418046\pi\) | ||||
0.254630 | + | 0.967038i | \(0.418046\pi\) | |||||||
\(948\) | −9.12838e6 | − | 3.99940e7i | −0.329893 | − | 1.44535i | ||||
\(949\) | 4.09432e7 | + | 3.79897e7i | 1.47576 | + | 1.36931i | ||||
\(950\) | −4.22694e7 | + | 2.03559e7i | −1.51956 | + | 0.731780i | ||||
\(951\) | −9.75126e6 | + | 1.46977e6i | −0.349631 | + | 0.0526984i | ||||
\(952\) | −4.43059e7 | + | 7.67400e7i | −1.58442 | + | 2.74429i | ||||
\(953\) | −659618. | − | 1.14249e6i | −0.0235267 | − | 0.0407494i | 0.854022 | − | 0.520236i | \(-0.174156\pi\) |
−0.877549 | + | 0.479487i | \(0.840823\pi\) | |||||||
\(954\) | 4.07522e7 | + | 5.11017e7i | 1.44971 | + | 1.81788i | ||||
\(955\) | −61831.7 | − | 825087.i | −0.00219383 | − | 0.0292746i | ||||
\(956\) | −1.87715e6 | − | 4.78289e6i | −0.0664284 | − | 0.169257i | ||||
\(957\) | −1.89628e7 | − | 9.13200e6i | −0.669303 | − | 0.322319i | ||||
\(958\) | −2.29398e7 | − | 7.07599e6i | −0.807561 | − | 0.249100i | ||||
\(959\) | 1.68169e7 | − | 4.28489e7i | 0.590473 | − | 1.50450i | ||||
\(960\) | −2.67465e6 | + | 2.48172e6i | −0.0936676 | + | 0.0869109i | ||||
\(961\) | −1.86183e7 | − | 1.26938e7i | −0.650328 | − | 0.443386i | ||||
\(962\) | −3.78360e7 | + | 4.74449e7i | −1.31816 | + | 1.65292i | ||||
\(963\) | −4.91784e6 | − | 741245.i | −0.170887 | − | 0.0257571i | ||||
\(964\) | −158570. | + | 48912.3i | −0.00549576 | + | 0.00169522i | ||||
\(965\) | 78784.0 | − | 1.05130e6i | 0.00272345 | − | 0.0363420i | ||||
\(966\) | −4.37293e6 | + | 2.98141e6i | −0.150775 | + | 0.102797i | ||||
\(967\) | −5.56339e6 | + | 2.43748e7i | −0.191326 | + | 0.838252i | 0.784575 | + | 0.620034i | \(0.212881\pi\) |
−0.975900 | + | 0.218218i | \(0.929976\pi\) | |||||||
\(968\) | −2.30259e7 | + | 1.00883e8i | −0.789821 | + | 3.46043i | ||||
\(969\) | 1.28315e7 | − | 8.74839e6i | 0.439005 | − | 0.299308i | ||||
\(970\) | −919867. | + | 1.22748e7i | −0.0313903 | + | 0.418874i | ||||
\(971\) | −7.07016e6 | + | 2.18085e6i | −0.240647 | + | 0.0742299i | −0.412733 | − | 0.910852i | \(-0.635426\pi\) |
0.172085 | + | 0.985082i | \(0.444949\pi\) | |||||||
\(972\) | −7.58053e7 | − | 1.14258e7i | −2.57356 | − | 0.387901i | ||||
\(973\) | −3.78644e6 | + | 4.74804e6i | −0.128218 | + | 0.160780i | ||||
\(974\) | −2.85929e7 | − | 1.94943e7i | −0.965741 | − | 0.658431i | ||||
\(975\) | −1.14997e7 | + | 1.06701e7i | −0.387413 | + | 0.359466i | ||||
\(976\) | −7.32314e6 | + | 1.86591e7i | −0.246078 | + | 0.626997i | ||||
\(977\) | 3.92700e7 | + | 1.21132e7i | 1.31621 | + | 0.405996i | 0.871815 | − | 0.489836i | \(-0.162943\pi\) |
0.444392 | + | 0.895832i | \(0.353420\pi\) | |||||||
\(978\) | 3.78951e6 | + | 1.82493e6i | 0.126688 | + | 0.0610098i | ||||
\(979\) | −2.08336e7 | − | 5.30831e7i | −0.694716 | − | 1.77011i | ||||
\(980\) | −56584.4 | − | 755066.i | −0.00188205 | − | 0.0251142i | ||||
\(981\) | 3.67703e6 | + | 4.61085e6i | 0.121990 | + | 0.152971i | ||||
\(982\) | −3.11078e7 | − | 5.38803e7i | −1.02941 | − | 1.78300i | ||||
\(983\) | 1.83360e7 | − | 3.17590e7i | 0.605232 | − | 1.04829i | −0.386783 | − | 0.922171i | \(-0.626414\pi\) |
0.992015 | − | 0.126121i | \(-0.0402529\pi\) | |||||||
\(984\) | −5.61953e6 | + | 847008.i | −0.185017 | + | 0.0278869i | ||||
\(985\) | 242107. | − | 116592.i | 0.00795090 | − | 0.00382895i | ||||
\(986\) | 4.76532e7 | + | 4.42157e7i | 1.56099 | + | 1.44839i | ||||
\(987\) | 1.11641e6 | + | 4.89132e6i | 0.0364780 | + | 0.159821i | ||||
\(988\) | 7.60439e7 | 2.47840 | ||||||||
\(989\) | −5.91470e6 | − | 1.74195e6i | −0.192284 | − | 0.0566297i | ||||
\(990\) | −9.16342e6 | −0.297146 | ||||||||
\(991\) | −8.68013e6 | − | 3.80301e7i | −0.280764 | − | 1.23011i | −0.896816 | − | 0.442404i | \(-0.854126\pi\) |
0.616052 | − | 0.787706i | \(-0.288731\pi\) | |||||||
\(992\) | 2.58648e7 | + | 2.39990e7i | 0.834506 | + | 0.774308i | ||||
\(993\) | 182120. | − | 87704.5i | 0.00586118 | − | 0.00282260i | ||||
\(994\) | −6.46506e7 | + | 9.74452e6i | −2.07542 | + | 0.312820i | ||||
\(995\) | 1.82774e6 | − | 3.16573e6i | 0.0585269 | − | 0.101372i | ||||
\(996\) | 2.55808e7 | + | 4.43073e7i | 0.817083 | + | 1.41523i | ||||
\(997\) | −1.48305e7 | − | 1.85969e7i | −0.472518 | − | 0.592518i | 0.487268 | − | 0.873252i | \(-0.337993\pi\) |
−0.959786 | + | 0.280734i | \(0.909422\pi\) | |||||||
\(998\) | −1.04227e6 | − | 1.39082e7i | −0.0331250 | − | 0.442022i | ||||
\(999\) | −1.06486e7 | − | 2.71322e7i | −0.337582 | − | 0.860144i |
(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 | 43.6.g.a.10.1 | ✓ | 204 | |
43.13 | even | 21 | inner | 43.6.g.a.13.1 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.g.a.10.1 | ✓ | 204 | 1.1 | even | 1 | trivial | |
43.6.g.a.13.1 | yes | 204 | 43.13 | even | 21 | inner |