Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(11,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.s (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.19 | ||
Character | \(\chi\) | \(=\) | 210.11 |
Dual form | 210.3.s.a.191.19 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22474 | − | 0.707107i | 0.612372 | − | 0.353553i | ||||
\(3\) | 2.17761 | + | 2.06350i | 0.725868 | + | 0.687834i | ||||
\(4\) | 1.00000 | − | 1.73205i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.93649 | − | 1.11803i | 0.387298 | − | 0.223607i | ||||
\(6\) | 4.12613 | + | 0.987462i | 0.687688 | + | 0.164577i | ||||
\(7\) | 6.85537 | − | 1.41561i | 0.979338 | − | 0.202230i | ||||
\(8\) | − | 2.82843i | − | 0.353553i | ||||||
\(9\) | 0.483930 | + | 8.98698i | 0.0537700 | + | 0.998553i | ||||
\(10\) | 1.58114 | − | 2.73861i | 0.158114 | − | 0.273861i | ||||
\(11\) | −1.73712 | − | 1.00293i | −0.157920 | − | 0.0911753i | 0.418957 | − | 0.908006i | \(-0.362396\pi\) |
−0.576878 | + | 0.816831i | \(0.695729\pi\) | |||||||
\(12\) | 5.75169 | − | 1.70822i | 0.479308 | − | 0.142352i | ||||
\(13\) | −17.1531 | −1.31947 | −0.659736 | − | 0.751497i | \(-0.729332\pi\) | ||||
−0.659736 | + | 0.751497i | \(0.729332\pi\) | |||||||
\(14\) | 7.39509 | − | 6.58123i | 0.528221 | − | 0.470088i | ||||
\(15\) | 6.52398 | + | 1.56132i | 0.434932 | + | 0.104088i | ||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | 16.4195 | + | 9.47979i | 0.965851 | + | 0.557634i | 0.897969 | − | 0.440059i | \(-0.145042\pi\) |
0.0678822 | + | 0.997693i | \(0.478376\pi\) | |||||||
\(18\) | 6.94745 | + | 10.6646i | 0.385969 | + | 0.592476i | ||||
\(19\) | −7.18314 | − | 12.4416i | −0.378060 | − | 0.654819i | 0.612720 | − | 0.790300i | \(-0.290075\pi\) |
−0.990780 | + | 0.135481i | \(0.956742\pi\) | |||||||
\(20\) | − | 4.47214i | − | 0.223607i | ||||||
\(21\) | 17.8494 | + | 11.0634i | 0.849971 | + | 0.526829i | ||||
\(22\) | −2.83671 | −0.128941 | ||||||||
\(23\) | 22.4130 | − | 12.9402i | 0.974479 | − | 0.562616i | 0.0738805 | − | 0.997267i | \(-0.476462\pi\) |
0.900599 | + | 0.434651i | \(0.143128\pi\) | |||||||
\(24\) | 5.83646 | − | 6.15920i | 0.243186 | − | 0.256633i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | −21.0082 | + | 12.1291i | −0.808008 | + | 0.466504i | ||||
\(27\) | −17.4908 | + | 20.5687i | −0.647809 | + | 0.761803i | ||||
\(28\) | 4.40346 | − | 13.2895i | 0.157267 | − | 0.474623i | ||||
\(29\) | 10.3125i | 0.355603i | 0.984066 | + | 0.177801i | \(0.0568985\pi\) | ||||
−0.984066 | + | 0.177801i | \(0.943102\pi\) | |||||||
\(30\) | 9.09423 | − | 2.70094i | 0.303141 | − | 0.0900312i | ||||
\(31\) | −24.0092 | + | 41.5852i | −0.774490 | + | 1.34146i | 0.160590 | + | 0.987021i | \(0.448660\pi\) |
−0.935081 | + | 0.354435i | \(0.884673\pi\) | |||||||
\(32\) | −4.89898 | − | 2.82843i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −1.71322 | − | 5.76854i | −0.0519159 | − | 0.174804i | ||||
\(34\) | 26.8129 | 0.788614 | ||||||||
\(35\) | 11.6927 | − | 10.4058i | 0.334076 | − | 0.297310i | ||||
\(36\) | 16.0498 | + | 8.14879i | 0.445829 | + | 0.226355i | ||||
\(37\) | −21.9490 | − | 38.0168i | −0.593216 | − | 1.02748i | −0.993796 | − | 0.111218i | \(-0.964525\pi\) |
0.400580 | − | 0.916262i | \(-0.368809\pi\) | |||||||
\(38\) | −17.5950 | − | 10.1585i | −0.463027 | − | 0.267329i | ||||
\(39\) | −37.3528 | − | 35.3955i | −0.957763 | − | 0.907577i | ||||
\(40\) | −3.16228 | − | 5.47723i | −0.0790569 | − | 0.136931i | ||||
\(41\) | 22.8694i | 0.557790i | 0.960322 | + | 0.278895i | \(0.0899682\pi\) | ||||
−0.960322 | + | 0.278895i | \(0.910032\pi\) | |||||||
\(42\) | 29.6840 | + | 0.928441i | 0.706761 | + | 0.0221057i | ||||
\(43\) | −73.6363 | −1.71247 | −0.856236 | − | 0.516584i | \(-0.827203\pi\) | ||||
−0.856236 | + | 0.516584i | \(0.827203\pi\) | |||||||
\(44\) | −3.47425 | + | 2.00586i | −0.0789601 | + | 0.0455877i | ||||
\(45\) | 10.9849 | + | 16.8622i | 0.244108 | + | 0.374715i | ||||
\(46\) | 18.3002 | − | 31.6968i | 0.397830 | − | 0.689061i | ||||
\(47\) | 20.0906 | − | 11.5993i | 0.427459 | − | 0.246793i | −0.270805 | − | 0.962634i | \(-0.587290\pi\) |
0.698263 | + | 0.715841i | \(0.253956\pi\) | |||||||
\(48\) | 2.79297 | − | 11.6704i | 0.0581868 | − | 0.243134i | ||||
\(49\) | 44.9921 | − | 19.4090i | 0.918206 | − | 0.396102i | ||||
\(50\) | − | 7.07107i | − | 0.141421i | ||||||
\(51\) | 16.1936 | + | 54.5248i | 0.317521 | + | 1.06911i | ||||
\(52\) | −17.1531 | + | 29.7101i | −0.329868 | + | 0.571348i | ||||
\(53\) | −45.3148 | − | 26.1625i | −0.854997 | − | 0.493633i | 0.00733686 | − | 0.999973i | \(-0.497665\pi\) |
−0.862334 | + | 0.506340i | \(0.830998\pi\) | |||||||
\(54\) | −6.87755 | + | 37.5593i | −0.127362 | + | 0.695542i | ||||
\(55\) | −4.48523 | −0.0815497 | ||||||||
\(56\) | −4.00394 | − | 19.3899i | −0.0714990 | − | 0.346248i | ||||
\(57\) | 10.0311 | − | 41.9152i | 0.175985 | − | 0.735355i | ||||
\(58\) | 7.29202 | + | 12.6302i | 0.125725 | + | 0.217761i | ||||
\(59\) | −43.9073 | − | 25.3499i | −0.744192 | − | 0.429660i | 0.0793994 | − | 0.996843i | \(-0.474700\pi\) |
−0.823592 | + | 0.567183i | \(0.808033\pi\) | |||||||
\(60\) | 9.22826 | − | 9.73855i | 0.153804 | − | 0.162309i | ||||
\(61\) | −38.9459 | − | 67.4562i | −0.638457 | − | 1.10584i | −0.985771 | − | 0.168091i | \(-0.946240\pi\) |
0.347314 | − | 0.937749i | \(-0.387094\pi\) | |||||||
\(62\) | 67.9083i | 1.09529i | ||||||||
\(63\) | 16.0396 | + | 60.9240i | 0.254596 | + | 0.967047i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | −33.2169 | + | 19.1778i | −0.511029 | + | 0.295043i | ||||
\(66\) | −6.17724 | − | 5.85355i | −0.0935945 | − | 0.0886902i | ||||
\(67\) | −13.9021 | + | 24.0792i | −0.207495 | + | 0.359391i | −0.950925 | − | 0.309422i | \(-0.899864\pi\) |
0.743430 | + | 0.668814i | \(0.233198\pi\) | |||||||
\(68\) | 32.8389 | − | 18.9596i | 0.482926 | − | 0.278817i | ||||
\(69\) | 75.5088 | + | 18.0707i | 1.09433 | + | 0.261894i | ||||
\(70\) | 6.96249 | − | 21.0125i | 0.0994641 | − | 0.300178i | ||||
\(71\) | − | 50.6466i | − | 0.713333i | −0.934232 | − | 0.356666i | \(-0.883913\pi\) | ||
0.934232 | − | 0.356666i | \(-0.116087\pi\) | |||||||
\(72\) | 25.4190 | − | 1.36876i | 0.353042 | − | 0.0190106i | ||||
\(73\) | −35.5077 | + | 61.5012i | −0.486407 | + | 0.842482i | −0.999878 | − | 0.0156253i | \(-0.995026\pi\) |
0.513471 | + | 0.858107i | \(0.328359\pi\) | |||||||
\(74\) | −53.7638 | − | 31.0406i | −0.726538 | − | 0.419467i | ||||
\(75\) | 14.3792 | − | 4.27056i | 0.191723 | − | 0.0569407i | ||||
\(76\) | −28.7325 | −0.378060 | ||||||||
\(77\) | −13.3284 | − | 4.41636i | −0.173096 | − | 0.0573553i | ||||
\(78\) | −70.7760 | − | 16.9381i | −0.907385 | − | 0.217155i | ||||
\(79\) | 17.4348 | + | 30.1979i | 0.220694 | + | 0.382252i | 0.955019 | − | 0.296545i | \(-0.0958346\pi\) |
−0.734325 | + | 0.678798i | \(0.762501\pi\) | |||||||
\(80\) | −7.74597 | − | 4.47214i | −0.0968246 | − | 0.0559017i | ||||
\(81\) | −80.5316 | + | 8.69813i | −0.994218 | + | 0.107384i | ||||
\(82\) | 16.1711 | + | 28.0092i | 0.197209 | + | 0.341575i | ||||
\(83\) | 131.350i | 1.58254i | 0.611470 | + | 0.791268i | \(0.290579\pi\) | ||||
−0.611470 | + | 0.791268i | \(0.709421\pi\) | |||||||
\(84\) | 37.0118 | − | 19.8526i | 0.440617 | − | 0.236341i | ||||
\(85\) | 42.3949 | 0.498763 | ||||||||
\(86\) | −90.1857 | + | 52.0687i | −1.04867 | + | 0.605450i | ||||
\(87\) | −21.2798 | + | 22.4565i | −0.244596 | + | 0.258121i | ||||
\(88\) | −2.83671 | + | 4.91333i | −0.0322353 | + | 0.0558333i | ||||
\(89\) | 45.4877 | − | 26.2623i | 0.511098 | − | 0.295082i | −0.222187 | − | 0.975004i | \(-0.571320\pi\) |
0.733285 | + | 0.679922i | \(0.237986\pi\) | |||||||
\(90\) | 25.3770 | + | 12.8844i | 0.281967 | + | 0.143160i | ||||
\(91\) | −117.591 | + | 24.2821i | −1.29221 | + | 0.266836i | ||||
\(92\) | − | 51.7607i | − | 0.562616i | ||||||
\(93\) | −138.094 | + | 41.0130i | −1.48488 | + | 0.441001i | ||||
\(94\) | 16.4039 | − | 28.4123i | 0.174509 | − | 0.302259i | ||||
\(95\) | −27.8202 | − | 16.0620i | −0.292844 | − | 0.169074i | ||||
\(96\) | −4.83158 | − | 16.2682i | −0.0503290 | − | 0.169461i | ||||
\(97\) | 71.0886 | 0.732872 | 0.366436 | − | 0.930443i | \(-0.380578\pi\) | ||||
0.366436 | + | 0.930443i | \(0.380578\pi\) | |||||||
\(98\) | 41.3796 | − | 55.5853i | 0.422241 | − | 0.567197i | ||||
\(99\) | 8.17265 | − | 16.0968i | 0.0825521 | − | 0.162594i | ||||
\(100\) | −5.00000 | − | 8.66025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | 143.595 | + | 82.9044i | 1.42173 | + | 0.820835i | 0.996447 | − | 0.0842259i | \(-0.0268418\pi\) |
0.425282 | + | 0.905061i | \(0.360175\pi\) | |||||||
\(102\) | 58.3879 | + | 55.3284i | 0.572430 | + | 0.542435i | ||||
\(103\) | 15.2326 | + | 26.3836i | 0.147889 | + | 0.256151i | 0.930447 | − | 0.366426i | \(-0.119419\pi\) |
−0.782558 | + | 0.622578i | \(0.786085\pi\) | |||||||
\(104\) | 48.5164i | 0.466504i | ||||||||
\(105\) | 46.9345 | + | 1.46799i | 0.446995 | + | 0.0139809i | ||||
\(106\) | −73.9988 | −0.698102 | ||||||||
\(107\) | −10.9875 | + | 6.34362i | −0.102687 | + | 0.0592862i | −0.550464 | − | 0.834859i | \(-0.685549\pi\) |
0.447777 | + | 0.894145i | \(0.352216\pi\) | |||||||
\(108\) | 18.1352 | + | 50.8637i | 0.167918 | + | 0.470960i | ||||
\(109\) | 87.7937 | − | 152.063i | 0.805447 | − | 1.39507i | −0.110542 | − | 0.993871i | \(-0.535259\pi\) |
0.915989 | − | 0.401203i | \(-0.131408\pi\) | |||||||
\(110\) | −5.49327 | + | 3.17154i | −0.0499388 | + | 0.0288322i | ||||
\(111\) | 30.6514 | − | 128.077i | 0.276139 | − | 1.15385i | ||||
\(112\) | −18.6145 | − | 20.9165i | −0.166201 | − | 0.186754i | ||||
\(113\) | 112.955i | 0.999598i | 0.866141 | + | 0.499799i | \(0.166593\pi\) | ||||
−0.866141 | + | 0.499799i | \(0.833407\pi\) | |||||||
\(114\) | −17.3530 | − | 58.4285i | −0.152219 | − | 0.512531i | ||||
\(115\) | 28.9351 | − | 50.1170i | 0.251609 | − | 0.435800i | ||||
\(116\) | 17.8617 | + | 10.3125i | 0.153981 | + | 0.0889007i | ||||
\(117\) | −8.30091 | − | 154.155i | −0.0709480 | − | 1.31756i | ||||
\(118\) | −71.7004 | −0.607630 | ||||||||
\(119\) | 125.981 | + | 41.7439i | 1.05867 | + | 0.350789i | ||||
\(120\) | 4.41607 | − | 18.4526i | 0.0368006 | − | 0.153772i | ||||
\(121\) | −58.4883 | − | 101.305i | −0.483374 | − | 0.837229i | ||||
\(122\) | −95.3975 | − | 55.0778i | −0.781947 | − | 0.451457i | ||||
\(123\) | −47.1910 | + | 49.8005i | −0.383667 | + | 0.404882i | ||||
\(124\) | 48.0184 | + | 83.1703i | 0.387245 | + | 0.670728i | ||||
\(125\) | − | 11.1803i | − | 0.0894427i | ||||||
\(126\) | 62.7241 | + | 63.2747i | 0.497811 | + | 0.502180i | ||||
\(127\) | 106.098 | 0.835419 | 0.417710 | − | 0.908581i | \(-0.362833\pi\) | ||||
0.417710 | + | 0.908581i | \(0.362833\pi\) | |||||||
\(128\) | −9.79796 | + | 5.65685i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | −160.351 | − | 151.949i | −1.24303 | − | 1.17790i | ||||
\(130\) | −27.1215 | + | 46.9758i | −0.208627 | + | 0.361352i | ||||
\(131\) | 175.485 | − | 101.317i | 1.33958 | − | 0.773409i | 0.352838 | − | 0.935684i | \(-0.385217\pi\) |
0.986746 | + | 0.162275i | \(0.0518833\pi\) | |||||||
\(132\) | −11.7046 | − | 2.80114i | −0.0886714 | − | 0.0212208i | ||||
\(133\) | −66.8554 | − | 75.1229i | −0.502672 | − | 0.564834i | ||||
\(134\) | 39.3212i | 0.293442i | ||||||||
\(135\) | −10.8744 | + | 59.3864i | −0.0805508 | + | 0.439899i | ||||
\(136\) | 26.8129 | − | 46.4413i | 0.197154 | − | 0.341480i | ||||
\(137\) | −168.790 | − | 97.4511i | −1.23205 | − | 0.711322i | −0.264590 | − | 0.964361i | \(-0.585237\pi\) |
−0.967456 | + | 0.253039i | \(0.918570\pi\) | |||||||
\(138\) | 105.257 | − | 31.2607i | 0.762731 | − | 0.226527i | ||||
\(139\) | 185.663 | 1.33571 | 0.667854 | − | 0.744292i | \(-0.267213\pi\) | ||||
0.667854 | + | 0.744292i | \(0.267213\pi\) | |||||||
\(140\) | −6.33079 | − | 30.6581i | −0.0452199 | − | 0.218987i | ||||
\(141\) | 67.6844 | + | 16.1982i | 0.480031 | + | 0.114881i | ||||
\(142\) | −35.8126 | − | 62.0292i | −0.252201 | − | 0.436825i | ||||
\(143\) | 29.7971 | + | 17.2034i | 0.208371 | + | 0.120303i | ||||
\(144\) | 30.1640 | − | 19.6503i | 0.209472 | − | 0.136461i | ||||
\(145\) | 11.5297 | + | 19.9700i | 0.0795152 | + | 0.137724i | ||||
\(146\) | 100.431i | 0.687883i | ||||||||
\(147\) | 138.026 | + | 50.5761i | 0.938950 | + | 0.344055i | ||||
\(148\) | −87.7960 | −0.593216 | ||||||||
\(149\) | 216.310 | − | 124.887i | 1.45175 | − | 0.838166i | 0.453166 | − | 0.891426i | \(-0.350295\pi\) |
0.998581 | + | 0.0532602i | \(0.0169613\pi\) | |||||||
\(150\) | 14.5912 | − | 15.3980i | 0.0972744 | − | 0.102653i | ||||
\(151\) | −45.2591 | + | 78.3911i | −0.299729 | + | 0.519146i | −0.976074 | − | 0.217439i | \(-0.930230\pi\) |
0.676345 | + | 0.736585i | \(0.263563\pi\) | |||||||
\(152\) | −35.1900 | + | 20.3170i | −0.231513 | + | 0.133664i | ||||
\(153\) | −77.2488 | + | 152.149i | −0.504894 | + | 0.994438i | ||||
\(154\) | −19.4467 | + | 4.01567i | −0.126277 | + | 0.0260758i | ||||
\(155\) | 107.372i | 0.692725i | ||||||||
\(156\) | −98.6596 | + | 29.3014i | −0.632433 | + | 0.187829i | ||||
\(157\) | −33.6787 | + | 58.3333i | −0.214514 | + | 0.371550i | −0.953122 | − | 0.302586i | \(-0.902150\pi\) |
0.738608 | + | 0.674135i | \(0.235484\pi\) | |||||||
\(158\) | 42.7063 | + | 24.6565i | 0.270293 | + | 0.156054i | ||||
\(159\) | −44.6914 | − | 150.479i | −0.281078 | − | 0.946408i | ||||
\(160\) | −12.6491 | −0.0790569 | ||||||||
\(161\) | 135.331 | − | 120.438i | 0.840567 | − | 0.748060i | ||||
\(162\) | −92.4802 | + | 67.5975i | −0.570865 | + | 0.417268i | ||||
\(163\) | 98.4248 | + | 170.477i | 0.603833 | + | 1.04587i | 0.992235 | + | 0.124380i | \(0.0396941\pi\) |
−0.388401 | + | 0.921490i | \(0.626973\pi\) | |||||||
\(164\) | 39.6110 | + | 22.8694i | 0.241530 | + | 0.139448i | ||||
\(165\) | −9.76707 | − | 9.25528i | −0.0591943 | − | 0.0560926i | ||||
\(166\) | 92.8788 | + | 160.871i | 0.559511 | + | 0.969101i | ||||
\(167\) | 205.465i | 1.23033i | 0.788399 | + | 0.615164i | \(0.210910\pi\) | ||||
−0.788399 | + | 0.615164i | \(0.789090\pi\) | |||||||
\(168\) | 31.2921 | − | 50.4857i | 0.186262 | − | 0.300510i | ||||
\(169\) | 125.230 | 0.741007 | ||||||||
\(170\) | 51.9229 | − | 29.9777i | 0.305429 | − | 0.176339i | ||||
\(171\) | 108.336 | − | 70.5756i | 0.633543 | − | 0.412723i | ||||
\(172\) | −73.6363 | + | 127.542i | −0.428118 | + | 0.741522i | ||||
\(173\) | 54.7172 | − | 31.5910i | 0.316285 | − | 0.182607i | −0.333451 | − | 0.942768i | \(-0.608213\pi\) |
0.649735 | + | 0.760161i | \(0.274880\pi\) | |||||||
\(174\) | −10.1832 | + | 42.5506i | −0.0585241 | + | 0.244544i | ||||
\(175\) | 11.0087 | − | 33.2236i | 0.0629066 | − | 0.189849i | ||||
\(176\) | 8.02343i | 0.0455877i | ||||||||
\(177\) | −43.3033 | − | 145.805i | −0.244651 | − | 0.823757i | ||||
\(178\) | 37.1405 | − | 64.3293i | 0.208655 | − | 0.361401i | ||||
\(179\) | 94.2314 | + | 54.4045i | 0.526432 | + | 0.303936i | 0.739562 | − | 0.673088i | \(-0.235032\pi\) |
−0.213130 | + | 0.977024i | \(0.568366\pi\) | |||||||
\(180\) | 40.1910 | − | 2.16420i | 0.223283 | − | 0.0120233i | ||||
\(181\) | 64.1549 | 0.354447 | 0.177224 | − | 0.984171i | \(-0.443288\pi\) | ||||
0.177224 | + | 0.984171i | \(0.443288\pi\) | |||||||
\(182\) | −126.849 | + | 112.889i | −0.696972 | + | 0.620268i | ||||
\(183\) | 54.3872 | − | 227.258i | 0.297198 | − | 1.24185i | ||||
\(184\) | −36.6003 | − | 63.3936i | −0.198915 | − | 0.344530i | ||||
\(185\) | −85.0081 | − | 49.0794i | −0.459503 | − | 0.265294i | ||||
\(186\) | −140.129 | + | 147.877i | −0.753380 | + | 0.795040i | ||||
\(187\) | −19.0151 | − | 32.9351i | −0.101685 | − | 0.176124i | ||||
\(188\) | − | 46.3971i | − | 0.246793i | ||||||
\(189\) | −90.7889 | + | 165.766i | −0.480364 | + | 0.877069i | ||||
\(190\) | −45.4301 | −0.239106 | ||||||||
\(191\) | −156.503 | + | 90.3572i | −0.819389 | + | 0.473075i | −0.850206 | − | 0.526450i | \(-0.823523\pi\) |
0.0308166 | + | 0.999525i | \(0.490189\pi\) | |||||||
\(192\) | −17.4208 | − | 16.5080i | −0.0907336 | − | 0.0859792i | ||||
\(193\) | 50.3572 | − | 87.2212i | 0.260918 | − | 0.451923i | −0.705568 | − | 0.708642i | \(-0.749308\pi\) |
0.966486 | + | 0.256719i | \(0.0826415\pi\) | |||||||
\(194\) | 87.0654 | − | 50.2672i | 0.448791 | − | 0.259109i | ||||
\(195\) | −111.907 | − | 26.7815i | −0.573881 | − | 0.137341i | ||||
\(196\) | 11.3747 | − | 97.3376i | 0.0580342 | − | 0.496621i | ||||
\(197\) | − | 317.131i | − | 1.60980i | −0.593408 | − | 0.804902i | \(-0.702218\pi\) | ||
0.593408 | − | 0.804902i | \(-0.297782\pi\) | |||||||
\(198\) | −1.37277 | − | 25.4935i | −0.00693317 | − | 0.128755i | ||||
\(199\) | −142.887 | + | 247.487i | −0.718025 | + | 1.24366i | 0.243756 | + | 0.969837i | \(0.421620\pi\) |
−0.961781 | + | 0.273819i | \(0.911713\pi\) | |||||||
\(200\) | −12.2474 | − | 7.07107i | −0.0612372 | − | 0.0353553i | ||||
\(201\) | −79.9609 | + | 23.7480i | −0.397815 | + | 0.118149i | ||||
\(202\) | 234.489 | 1.16084 | ||||||||
\(203\) | 14.5984 | + | 70.6958i | 0.0719134 | + | 0.348255i | ||||
\(204\) | 110.633 | + | 26.4767i | 0.542320 | + | 0.129788i | ||||
\(205\) | 25.5688 | + | 44.2864i | 0.124726 | + | 0.216031i | ||||
\(206\) | 37.3120 | + | 21.5421i | 0.181126 | + | 0.104573i | ||||
\(207\) | 127.139 | + | 195.163i | 0.614200 | + | 0.942818i | ||||
\(208\) | 34.3063 | + | 59.4202i | 0.164934 | + | 0.285674i | ||||
\(209\) | 28.8167i | 0.137879i | ||||||||
\(210\) | 58.5208 | − | 31.3898i | 0.278670 | − | 0.149475i | ||||
\(211\) | 63.6450 | 0.301635 | 0.150817 | − | 0.988562i | \(-0.451809\pi\) | ||||
0.150817 | + | 0.988562i | \(0.451809\pi\) | |||||||
\(212\) | −90.6297 | + | 52.3251i | −0.427498 | + | 0.246816i | ||||
\(213\) | 104.509 | − | 110.288i | 0.490654 | − | 0.517786i | ||||
\(214\) | −8.97124 | + | 15.5386i | −0.0419217 | + | 0.0726105i | ||||
\(215\) | −142.596 | + | 82.3279i | −0.663238 | + | 0.382921i | ||||
\(216\) | 58.1770 | + | 49.4715i | 0.269338 | + | 0.229035i | ||||
\(217\) | −105.724 | + | 319.069i | −0.487206 | + | 1.47036i | ||||
\(218\) | − | 248.318i | − | 1.13907i | ||||||
\(219\) | −204.229 | + | 60.6551i | −0.932555 | + | 0.276964i | ||||
\(220\) | −4.48523 | + | 7.76865i | −0.0203874 | + | 0.0353121i | ||||
\(221\) | −281.645 | − | 162.608i | −1.27441 | − | 0.735783i | ||||
\(222\) | −53.0242 | − | 178.536i | −0.238848 | − | 0.804215i | ||||
\(223\) | 162.761 | 0.729869 | 0.364934 | − | 0.931033i | \(-0.381091\pi\) | ||||
0.364934 | + | 0.931033i | \(0.381091\pi\) | |||||||
\(224\) | −37.5882 | − | 12.4549i | −0.167805 | − | 0.0556021i | ||||
\(225\) | 40.1246 | + | 20.3720i | 0.178332 | + | 0.0905421i | ||||
\(226\) | 79.8710 | + | 138.341i | 0.353411 | + | 0.612126i | ||||
\(227\) | −362.948 | − | 209.548i | −1.59889 | − | 0.923120i | −0.991701 | − | 0.128564i | \(-0.958963\pi\) |
−0.607190 | − | 0.794557i | \(-0.707703\pi\) | |||||||
\(228\) | −62.5682 | − | 59.2896i | −0.274422 | − | 0.260042i | ||||
\(229\) | 74.3717 | + | 128.815i | 0.324767 | + | 0.562513i | 0.981465 | − | 0.191640i | \(-0.0613808\pi\) |
−0.656698 | + | 0.754154i | \(0.728047\pi\) | |||||||
\(230\) | − | 81.8408i | − | 0.355830i | ||||||
\(231\) | −19.9108 | − | 37.1202i | −0.0861938 | − | 0.160693i | ||||
\(232\) | 29.1681 | 0.125725 | ||||||||
\(233\) | 65.0981 | − | 37.5844i | 0.279391 | − | 0.161306i | −0.353757 | − | 0.935337i | \(-0.615096\pi\) |
0.633148 | + | 0.774031i | \(0.281763\pi\) | |||||||
\(234\) | −119.170 | − | 182.931i | −0.509276 | − | 0.781756i | ||||
\(235\) | 25.9368 | − | 44.9238i | 0.110369 | − | 0.191165i | ||||
\(236\) | −87.8147 | + | 50.6998i | −0.372096 | + | 0.214830i | ||||
\(237\) | −24.3474 | + | 101.736i | −0.102732 | + | 0.429265i | ||||
\(238\) | 183.812 | − | 37.9565i | 0.772320 | − | 0.159481i | ||||
\(239\) | 63.1961i | 0.264419i | 0.991222 | + | 0.132209i | \(0.0422071\pi\) | ||||
−0.991222 | + | 0.132209i | \(0.957793\pi\) | |||||||
\(240\) | −7.63940 | − | 25.7224i | −0.0318308 | − | 0.107176i | ||||
\(241\) | 161.815 | − | 280.271i | 0.671430 | − | 1.16295i | −0.306069 | − | 0.952009i | \(-0.599014\pi\) |
0.977499 | − | 0.210941i | \(-0.0676528\pi\) | |||||||
\(242\) | −143.266 | − | 82.7149i | −0.592010 | − | 0.341797i | ||||
\(243\) | −193.315 | − | 147.236i | −0.795534 | − | 0.605909i | ||||
\(244\) | −155.784 | −0.638457 | ||||||||
\(245\) | 65.4269 | − | 87.8881i | 0.267049 | − | 0.358727i | ||||
\(246\) | −22.5827 | + | 94.3620i | −0.0917995 | + | 0.383586i | ||||
\(247\) | 123.213 | + | 213.412i | 0.498839 | + | 0.864015i | ||||
\(248\) | 117.621 | + | 67.9083i | 0.474276 | + | 0.273824i | ||||
\(249\) | −271.042 | + | 286.029i | −1.08852 | + | 1.14871i | ||||
\(250\) | −7.90569 | − | 13.6931i | −0.0316228 | − | 0.0547723i | ||||
\(251\) | − | 103.812i | − | 0.413593i | −0.978384 | − | 0.206797i | \(-0.933696\pi\) | ||
0.978384 | − | 0.206797i | \(-0.0663039\pi\) | |||||||
\(252\) | 121.563 | + | 33.1427i | 0.482393 | + | 0.131519i | ||||
\(253\) | −51.9122 | −0.205187 | ||||||||
\(254\) | 129.943 | − | 75.0228i | 0.511588 | − | 0.295365i | ||||
\(255\) | 92.3193 | + | 87.4819i | 0.362037 | + | 0.343066i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −219.111 | + | 126.504i | −0.852573 | + | 0.492233i | −0.861518 | − | 0.507727i | \(-0.830486\pi\) |
0.00894540 | + | 0.999960i | \(0.497153\pi\) | |||||||
\(258\) | −303.833 | − | 72.7131i | −1.17765 | − | 0.281834i | ||||
\(259\) | −204.285 | − | 229.548i | −0.788746 | − | 0.886285i | ||||
\(260\) | 76.7112i | 0.295043i | ||||||||
\(261\) | −92.6781 | + | 4.99052i | −0.355088 | + | 0.0191207i | ||||
\(262\) | 143.283 | − | 248.174i | 0.546883 | − | 0.947229i | ||||
\(263\) | −58.5323 | − | 33.7936i | −0.222556 | − | 0.128493i | 0.384577 | − | 0.923093i | \(-0.374347\pi\) |
−0.607133 | + | 0.794600i | \(0.707681\pi\) | |||||||
\(264\) | −16.3159 | + | 4.84573i | −0.0618026 | + | 0.0183550i | ||||
\(265\) | −117.002 | −0.441518 | ||||||||
\(266\) | −135.001 | − | 44.7325i | −0.507522 | − | 0.168167i | ||||
\(267\) | 153.247 | + | 36.6749i | 0.573957 | + | 0.137359i | ||||
\(268\) | 27.8043 | + | 48.1584i | 0.103747 | + | 0.179696i | ||||
\(269\) | 144.950 | + | 83.6870i | 0.538848 | + | 0.311104i | 0.744612 | − | 0.667498i | \(-0.232635\pi\) |
−0.205764 | + | 0.978602i | \(0.565968\pi\) | |||||||
\(270\) | 28.6742 | + | 80.4226i | 0.106201 | + | 0.297861i | ||||
\(271\) | 89.1474 | + | 154.408i | 0.328957 | + | 0.569771i | 0.982305 | − | 0.187287i | \(-0.0599695\pi\) |
−0.653348 | + | 0.757058i | \(0.726636\pi\) | |||||||
\(272\) | − | 75.8383i | − | 0.278817i | ||||||
\(273\) | −306.173 | − | 189.772i | −1.12151 | − | 0.695137i | ||||
\(274\) | −275.633 | −1.00596 | ||||||||
\(275\) | −8.68562 | + | 5.01464i | −0.0315841 | + | 0.0182351i | ||||
\(276\) | 106.808 | − | 112.714i | 0.386986 | − | 0.408385i | ||||
\(277\) | 199.076 | − | 344.810i | 0.718687 | − | 1.24480i | −0.242833 | − | 0.970068i | \(-0.578077\pi\) |
0.961520 | − | 0.274734i | \(-0.0885898\pi\) | |||||||
\(278\) | 227.390 | − | 131.284i | 0.817951 | − | 0.472244i | ||||
\(279\) | −385.344 | − | 195.646i | −1.38116 | − | 0.701240i | ||||
\(280\) | −29.4322 | − | 33.0718i | −0.105115 | − | 0.118114i | ||||
\(281\) | 42.1550i | 0.150018i | 0.997183 | + | 0.0750090i | \(0.0238985\pi\) | ||||
−0.997183 | + | 0.0750090i | \(0.976101\pi\) | |||||||
\(282\) | 94.3500 | − | 28.0215i | 0.334575 | − | 0.0993669i | ||||
\(283\) | −219.625 | + | 380.401i | −0.776059 | + | 1.34417i | 0.158139 | + | 0.987417i | \(0.449451\pi\) |
−0.934197 | + | 0.356756i | \(0.883883\pi\) | |||||||
\(284\) | −87.7225 | − | 50.6466i | −0.308882 | − | 0.178333i | ||||
\(285\) | −27.4374 | − | 92.3836i | −0.0962717 | − | 0.324153i | ||||
\(286\) | 48.6585 | 0.170135 | ||||||||
\(287\) | 32.3741 | + | 156.778i | 0.112802 | + | 0.546265i | ||||
\(288\) | 23.0483 | − | 45.3958i | 0.0800287 | − | 0.157624i | ||||
\(289\) | 35.2326 | + | 61.0247i | 0.121912 | + | 0.211158i | ||||
\(290\) | 28.2419 | + | 16.3055i | 0.0973858 | + | 0.0562257i | ||||
\(291\) | 154.803 | + | 146.691i | 0.531969 | + | 0.504094i | ||||
\(292\) | 71.0154 | + | 123.002i | 0.243204 | + | 0.421241i | ||||
\(293\) | 357.313i | 1.21950i | 0.792594 | + | 0.609749i | \(0.208730\pi\) | ||||
−0.792594 | + | 0.609749i | \(0.791270\pi\) | |||||||
\(294\) | 204.809 | − | 35.6561i | 0.696629 | − | 0.121279i | ||||
\(295\) | −113.368 | −0.384299 | ||||||||
\(296\) | −107.528 | + | 62.0811i | −0.363269 | + | 0.209734i | ||||
\(297\) | 51.0127 | − | 18.1883i | 0.171760 | − | 0.0612400i | ||||
\(298\) | 176.617 | − | 305.909i | 0.592673 | − | 1.02654i | ||||
\(299\) | −384.454 | + | 221.964i | −1.28580 | + | 0.742356i | ||||
\(300\) | 6.98241 | − | 29.1761i | 0.0232747 | − | 0.0972537i | ||||
\(301\) | −504.804 | + | 104.240i | −1.67709 | + | 0.346313i | ||||
\(302\) | 128.012i | 0.423881i | ||||||||
\(303\) | 141.619 | + | 476.840i | 0.467390 | + | 1.57373i | ||||
\(304\) | −28.7325 | + | 49.7662i | −0.0945150 | + | 0.163705i | ||||
\(305\) | −150.837 | − | 87.0856i | −0.494547 | − | 0.285527i | ||||
\(306\) | 12.9756 | + | 240.967i | 0.0424038 | + | 0.787473i | ||||
\(307\) | −301.660 | −0.982607 | −0.491303 | − | 0.870989i | \(-0.663479\pi\) | ||||
−0.491303 | + | 0.870989i | \(0.663479\pi\) | |||||||
\(308\) | −20.9777 | + | 18.6691i | −0.0681095 | + | 0.0606138i | ||||
\(309\) | −21.2720 | + | 88.8855i | −0.0688415 | + | 0.287655i | ||||
\(310\) | 75.9238 | + | 131.504i | 0.244915 | + | 0.424206i | ||||
\(311\) | 165.644 | + | 95.6345i | 0.532617 | + | 0.307506i | 0.742081 | − | 0.670310i | \(-0.233839\pi\) |
−0.209465 | + | 0.977816i | \(0.567172\pi\) | |||||||
\(312\) | −100.114 | + | 105.650i | −0.320877 | + | 0.338620i | ||||
\(313\) | −172.462 | − | 298.713i | −0.550998 | − | 0.954356i | −0.998203 | − | 0.0599244i | \(-0.980914\pi\) |
0.447205 | − | 0.894431i | \(-0.352419\pi\) | |||||||
\(314\) | 95.2579i | 0.303369i | ||||||||
\(315\) | 99.1756 | + | 100.046i | 0.314843 | + | 0.317606i | ||||
\(316\) | 69.7392 | 0.220694 | ||||||||
\(317\) | 219.646 | − | 126.812i | 0.692889 | − | 0.400039i | −0.111805 | − | 0.993730i | \(-0.535663\pi\) |
0.804693 | + | 0.593691i | \(0.202330\pi\) | |||||||
\(318\) | −161.140 | − | 152.697i | −0.506730 | − | 0.480178i | ||||
\(319\) | 10.3427 | − | 17.9140i | 0.0324222 | − | 0.0561569i | ||||
\(320\) | −15.4919 | + | 8.94427i | −0.0484123 | + | 0.0279508i | ||||
\(321\) | −37.0165 | − | 8.85876i | −0.115316 | − | 0.0275974i | ||||
\(322\) | 80.5841 | − | 243.199i | 0.250261 | − | 0.755277i | ||||
\(323\) | − | 272.378i | − | 0.843277i | ||||||
\(324\) | −65.4660 | + | 148.183i | −0.202056 | + | 0.457355i | ||||
\(325\) | −42.8828 | + | 74.2753i | −0.131947 | + | 0.228539i | ||||
\(326\) | 241.091 | + | 139.194i | 0.739542 | + | 0.426975i | ||||
\(327\) | 504.962 | − | 149.971i | 1.54423 | − | 0.458627i | ||||
\(328\) | 64.6844 | 0.197209 | ||||||||
\(329\) | 121.308 | − | 107.958i | 0.368718 | − | 0.328139i | ||||
\(330\) | −18.5066 | − | 4.42900i | −0.0560807 | − | 0.0134212i | ||||
\(331\) | −67.0215 | − | 116.085i | −0.202482 | − | 0.350709i | 0.746846 | − | 0.664997i | \(-0.231567\pi\) |
−0.949327 | + | 0.314289i | \(0.898234\pi\) | |||||||
\(332\) | 227.506 | + | 131.350i | 0.685258 | + | 0.395634i | ||||
\(333\) | 331.034 | − | 215.653i | 0.994097 | − | 0.647605i | ||||
\(334\) | 145.285 | + | 251.642i | 0.434986 | + | 0.753419i | ||||
\(335\) | 62.1723i | 0.185589i | ||||||||
\(336\) | 2.62603 | − | 83.9589i | 0.00781556 | − | 0.249878i | ||||
\(337\) | −303.775 | −0.901410 | −0.450705 | − | 0.892673i | \(-0.648827\pi\) | ||||
−0.450705 | + | 0.892673i | \(0.648827\pi\) | |||||||
\(338\) | 153.375 | − | 88.5511i | 0.453772 | − | 0.261985i | ||||
\(339\) | −233.082 | + | 245.971i | −0.687557 | + | 0.725577i | ||||
\(340\) | 42.3949 | − | 73.4301i | 0.124691 | − | 0.215971i | ||||
\(341\) | 83.4139 | − | 48.1590i | 0.244615 | − | 0.141229i | ||||
\(342\) | 82.7794 | − | 163.042i | 0.242045 | − | 0.476731i | ||||
\(343\) | 280.962 | − | 196.747i | 0.819131 | − | 0.573607i | ||||
\(344\) | 208.275i | 0.605450i | ||||||||
\(345\) | 166.426 | − | 49.4276i | 0.482394 | − | 0.143268i | ||||
\(346\) | 44.6764 | − | 77.3819i | 0.129123 | − | 0.223647i | ||||
\(347\) | 304.365 | + | 175.725i | 0.877133 | + | 0.506413i | 0.869712 | − | 0.493559i | \(-0.164304\pi\) |
0.00742100 | + | 0.999972i | \(0.497638\pi\) | |||||||
\(348\) | 17.6160 | + | 59.3142i | 0.0506207 | + | 0.170443i | ||||
\(349\) | 123.789 | 0.354695 | 0.177348 | − | 0.984148i | \(-0.443248\pi\) | ||||
0.177348 | + | 0.984148i | \(0.443248\pi\) | |||||||
\(350\) | −10.0099 | − | 48.4748i | −0.0285996 | − | 0.138499i | ||||
\(351\) | 300.023 | − | 352.817i | 0.854765 | − | 1.00518i | ||||
\(352\) | 5.67342 | + | 9.82665i | 0.0161177 | + | 0.0279166i | ||||
\(353\) | 239.870 | + | 138.489i | 0.679517 | + | 0.392319i | 0.799673 | − | 0.600436i | \(-0.205006\pi\) |
−0.120156 | + | 0.992755i | \(0.538339\pi\) | |||||||
\(354\) | −156.135 | − | 147.954i | −0.441060 | − | 0.417949i | ||||
\(355\) | −56.6246 | − | 98.0768i | −0.159506 | − | 0.276273i | ||||
\(356\) | − | 105.049i | − | 0.295082i | ||||||
\(357\) | 188.199 | + | 350.864i | 0.527167 | + | 0.982812i | ||||
\(358\) | 153.879 | 0.429830 | ||||||||
\(359\) | 375.605 | − | 216.856i | 1.04625 | − | 0.604055i | 0.124656 | − | 0.992200i | \(-0.460217\pi\) |
0.921598 | + | 0.388145i | \(0.126884\pi\) | |||||||
\(360\) | 47.6934 | − | 31.0699i | 0.132482 | − | 0.0863053i | ||||
\(361\) | 77.3051 | − | 133.896i | 0.214141 | − | 0.370904i | ||||
\(362\) | 78.5734 | − | 45.3644i | 0.217054 | − | 0.125316i | ||||
\(363\) | 81.6779 | − | 341.292i | 0.225008 | − | 0.940199i | ||||
\(364\) | −75.5332 | + | 227.956i | −0.207509 | + | 0.626252i | ||||
\(365\) | 158.795i | 0.435056i | ||||||||
\(366\) | −94.0851 | − | 316.791i | −0.257063 | − | 0.865548i | ||||
\(367\) | 95.0957 | − | 164.711i | 0.259116 | − | 0.448803i | −0.706889 | − | 0.707324i | \(-0.749902\pi\) |
0.966005 | + | 0.258522i | \(0.0832353\pi\) | |||||||
\(368\) | −89.6521 | − | 51.7607i | −0.243620 | − | 0.140654i | ||||
\(369\) | −205.527 | + | 11.0672i | −0.556983 | + | 0.0299924i | ||||
\(370\) | −138.818 | −0.375183 | ||||||||
\(371\) | −347.686 | − | 115.206i | −0.937158 | − | 0.310528i | ||||
\(372\) | −67.0569 | + | 280.198i | −0.180260 | + | 0.753221i | ||||
\(373\) | 325.262 | + | 563.370i | 0.872015 | + | 1.51037i | 0.859909 | + | 0.510447i | \(0.170520\pi\) |
0.0121058 | + | 0.999927i | \(0.496147\pi\) | |||||||
\(374\) | −46.5773 | − | 26.8914i | −0.124538 | − | 0.0719021i | ||||
\(375\) | 23.0706 | − | 24.3464i | 0.0615217 | − | 0.0649236i | ||||
\(376\) | −32.8077 | − | 56.8247i | −0.0872546 | − | 0.151129i | ||||
\(377\) | − | 176.891i | − | 0.469208i | ||||||
\(378\) | 6.02108 | + | 267.219i | 0.0159288 | + | 0.706927i | ||||
\(379\) | −478.279 | −1.26195 | −0.630975 | − | 0.775804i | \(-0.717345\pi\) | ||||
−0.630975 | + | 0.775804i | \(0.717345\pi\) | |||||||
\(380\) | −55.6403 | + | 32.1240i | −0.146422 | + | 0.0845368i | ||||
\(381\) | 231.040 | + | 218.934i | 0.606404 | + | 0.574629i | ||||
\(382\) | −127.784 | + | 221.329i | −0.334514 | + | 0.579396i | ||||
\(383\) | −350.066 | + | 202.111i | −0.914010 | + | 0.527704i | −0.881719 | − | 0.471774i | \(-0.843614\pi\) |
−0.0322911 | + | 0.999479i | \(0.510280\pi\) | |||||||
\(384\) | −33.0090 | − | 7.89970i | −0.0859610 | − | 0.0205721i | ||||
\(385\) | −30.7479 | + | 6.34933i | −0.0798647 | + | 0.0164918i | ||||
\(386\) | − | 142.432i | − | 0.368994i | ||||||
\(387\) | −35.6348 | − | 661.768i | −0.0920796 | − | 1.71000i | ||||
\(388\) | 71.0886 | − | 123.129i | 0.183218 | − | 0.317343i | ||||
\(389\) | 540.555 | + | 312.090i | 1.38960 | + | 0.802287i | 0.993270 | − | 0.115821i | \(-0.0369498\pi\) |
0.396331 | + | 0.918108i | \(0.370283\pi\) | |||||||
\(390\) | −155.995 | + | 46.3295i | −0.399986 | + | 0.118794i | ||||
\(391\) | 490.680 | 1.25494 | ||||||||
\(392\) | −54.8970 | − | 127.257i | −0.140043 | − | 0.324635i | ||||
\(393\) | 591.205 | + | 141.487i | 1.50434 | + | 0.360017i | ||||
\(394\) | −224.246 | − | 388.405i | −0.569152 | − | 0.985800i | ||||
\(395\) | 67.5246 | + | 38.9854i | 0.170948 | + | 0.0986971i | ||||
\(396\) | −19.7079 | − | 30.2523i | −0.0497674 | − | 0.0763947i | ||||
\(397\) | 183.955 | + | 318.620i | 0.463363 | + | 0.802568i | 0.999126 | − | 0.0418003i | \(-0.0133093\pi\) |
−0.535763 | + | 0.844368i | \(0.679976\pi\) | |||||||
\(398\) | 404.145i | 1.01544i | ||||||||
\(399\) | 9.43156 | − | 301.544i | 0.0236380 | − | 0.755750i | ||||
\(400\) | −20.0000 | −0.0500000 | ||||||||
\(401\) | 146.428 | − | 84.5403i | 0.365157 | − | 0.210824i | −0.306183 | − | 0.951973i | \(-0.599052\pi\) |
0.671341 | + | 0.741149i | \(0.265719\pi\) | |||||||
\(402\) | −81.1393 | + | 85.6260i | −0.201839 | + | 0.213000i | ||||
\(403\) | 411.833 | − | 713.316i | 1.02192 | − | 1.77001i | ||||
\(404\) | 287.189 | − | 165.809i | 0.710864 | − | 0.410418i | ||||
\(405\) | −146.224 | + | 106.881i | −0.361047 | + | 0.263904i | ||||
\(406\) | 67.8688 | + | 76.2617i | 0.167165 | + | 0.187837i | ||||
\(407\) | 88.0531i | 0.216347i | ||||||||
\(408\) | 154.219 | − | 45.8024i | 0.377989 | − | 0.112261i | ||||
\(409\) | −102.592 | + | 177.695i | −0.250837 | + | 0.434463i | −0.963757 | − | 0.266783i | \(-0.914039\pi\) |
0.712919 | + | 0.701246i | \(0.247373\pi\) | |||||||
\(410\) | 62.6304 | + | 36.1597i | 0.152757 | + | 0.0881944i | ||||
\(411\) | −166.468 | − | 560.509i | −0.405032 | − | 1.36377i | ||||
\(412\) | 60.9303 | 0.147889 | ||||||||
\(413\) | −336.886 | − | 111.627i | −0.815706 | − | 0.270284i | ||||
\(414\) | 293.715 | + | 149.124i | 0.709455 | + | 0.360203i | ||||
\(415\) | 146.854 | + | 254.359i | 0.353866 | + | 0.612913i | ||||
\(416\) | 84.0329 | + | 48.5164i | 0.202002 | + | 0.116626i | ||||
\(417\) | 404.302 | + | 383.117i | 0.969549 | + | 0.918745i | ||||
\(418\) | 20.3765 | + | 35.2931i | 0.0487476 | + | 0.0844332i | ||||
\(419\) | − | 523.404i | − | 1.24918i | −0.780955 | − | 0.624588i | \(-0.785267\pi\) | ||
0.780955 | − | 0.624588i | \(-0.214733\pi\) | |||||||
\(420\) | 49.4771 | − | 79.8249i | 0.117803 | − | 0.190059i | ||||
\(421\) | 59.1179 | 0.140422 | 0.0702112 | − | 0.997532i | \(-0.477633\pi\) | ||||
0.0702112 | + | 0.997532i | \(0.477633\pi\) | |||||||
\(422\) | 77.9489 | − | 45.0038i | 0.184713 | − | 0.106644i | ||||
\(423\) | 113.965 | + | 174.940i | 0.269421 | + | 0.413570i | ||||
\(424\) | −73.9988 | + | 128.170i | −0.174525 | + | 0.302287i | ||||
\(425\) | 82.0973 | − | 47.3989i | 0.193170 | − | 0.111527i | ||||
\(426\) | 50.0116 | − | 208.974i | 0.117398 | − | 0.490550i | ||||
\(427\) | −362.480 | − | 407.305i | −0.848899 | − | 0.953876i | ||||
\(428\) | 25.3745i | 0.0592862i | ||||||||
\(429\) | 29.3872 | + | 98.9485i | 0.0685016 | + | 0.230649i | ||||
\(430\) | −116.429 | + | 201.661i | −0.270766 | + | 0.468980i | ||||
\(431\) | 207.391 | + | 119.737i | 0.481185 | + | 0.277812i | 0.720910 | − | 0.693028i | \(-0.243724\pi\) |
−0.239725 | + | 0.970841i | \(0.577057\pi\) | |||||||
\(432\) | 106.234 | + | 19.4526i | 0.245911 | + | 0.0450293i | ||||
\(433\) | −534.268 | −1.23388 | −0.616938 | − | 0.787012i | \(-0.711627\pi\) | ||||
−0.616938 | + | 0.787012i | \(0.711627\pi\) | |||||||
\(434\) | 96.1315 | + | 465.536i | 0.221501 | + | 1.07266i | ||||
\(435\) | −16.1010 | + | 67.2784i | −0.0370139 | + | 0.154663i | ||||
\(436\) | −175.587 | − | 304.126i | −0.402723 | − | 0.697537i | ||||
\(437\) | −321.992 | − | 185.902i | −0.736823 | − | 0.425405i | ||||
\(438\) | −207.239 | + | 218.699i | −0.473149 | + | 0.499313i | ||||
\(439\) | −180.583 | − | 312.779i | −0.411351 | − | 0.712480i | 0.583687 | − | 0.811979i | \(-0.301610\pi\) |
−0.995038 | + | 0.0994983i | \(0.968276\pi\) | |||||||
\(440\) | 12.6862i | 0.0288322i | ||||||||
\(441\) | 196.202 | + | 394.951i | 0.444901 | + | 0.895580i | ||||
\(442\) | −459.925 | −1.04055 | ||||||||
\(443\) | −172.105 | + | 99.3647i | −0.388498 | + | 0.224300i | −0.681509 | − | 0.731809i | \(-0.738676\pi\) |
0.293011 | + | 0.956109i | \(0.405343\pi\) | |||||||
\(444\) | −191.185 | − | 181.167i | −0.430597 | − | 0.408034i | ||||
\(445\) | 58.7244 | − | 101.714i | 0.131965 | − | 0.228570i | ||||
\(446\) | 199.340 | − | 115.089i | 0.446951 | − | 0.258048i | ||||
\(447\) | 728.742 | + | 174.402i | 1.63030 | + | 0.390161i | ||||
\(448\) | −54.8429 | + | 11.3249i | −0.122417 | + | 0.0252787i | ||||
\(449\) | 670.694i | 1.49375i | 0.664964 | + | 0.746876i | \(0.268447\pi\) | ||||
−0.664964 | + | 0.746876i | \(0.731553\pi\) | |||||||
\(450\) | 63.5475 | − | 3.42190i | 0.141217 | − | 0.00760422i | ||||
\(451\) | 22.9364 | − | 39.7270i | 0.0508567 | − | 0.0880864i | ||||
\(452\) | 195.643 | + | 112.955i | 0.432839 | + | 0.249900i | ||||
\(453\) | −260.316 | + | 77.3126i | −0.574650 | + | 0.170668i | ||||
\(454\) | −592.692 | −1.30549 | ||||||||
\(455\) | −200.566 | + | 178.493i | −0.440804 | + | 0.392292i | ||||
\(456\) | −118.554 | − | 28.3723i | −0.259987 | − | 0.0622200i | ||||
\(457\) | −289.213 | − | 500.932i | −0.632851 | − | 1.09613i | −0.986966 | − | 0.160929i | \(-0.948551\pi\) |
0.354115 | − | 0.935202i | \(-0.384782\pi\) | |||||||
\(458\) | 182.173 | + | 105.177i | 0.397757 | + | 0.229645i | ||||
\(459\) | −482.177 | + | 171.918i | −1.05049 | + | 0.374548i | ||||
\(460\) | −57.8702 | − | 100.234i | −0.125805 | − | 0.217900i | ||||
\(461\) | − | 624.251i | − | 1.35412i | −0.735926 | − | 0.677062i | \(-0.763253\pi\) | ||
0.735926 | − | 0.677062i | \(-0.236747\pi\) | |||||||
\(462\) | −50.6336 | − | 31.3837i | −0.109596 | − | 0.0679301i | ||||
\(463\) | −368.359 | −0.795591 | −0.397795 | − | 0.917474i | \(-0.630225\pi\) | ||||
−0.397795 | + | 0.917474i | \(0.630225\pi\) | |||||||
\(464\) | 35.7235 | − | 20.6250i | 0.0769903 | − | 0.0444503i | ||||
\(465\) | −221.563 | + | 233.815i | −0.476480 | + | 0.502827i | ||||
\(466\) | 53.1524 | − | 92.0626i | 0.114061 | − | 0.197559i | ||||
\(467\) | −602.139 | + | 347.645i | −1.28938 | + | 0.744422i | −0.978543 | − | 0.206042i | \(-0.933941\pi\) |
−0.310834 | + | 0.950464i | \(0.600608\pi\) | |||||||
\(468\) | −275.305 | − | 139.777i | −0.588259 | − | 0.298669i | ||||
\(469\) | −61.2176 | + | 184.752i | −0.130528 | + | 0.393927i | ||||
\(470\) | − | 73.3603i | − | 0.156086i | ||||||
\(471\) | −193.710 | + | 57.5308i | −0.411274 | + | 0.122146i | ||||
\(472\) | −71.7004 | + | 124.189i | −0.151908 | + | 0.263112i | ||||
\(473\) | 127.915 | + | 73.8520i | 0.270434 | + | 0.156135i | ||||
\(474\) | 42.1188 | + | 141.817i | 0.0888582 | + | 0.299191i | ||||
\(475\) | −71.8314 | −0.151224 | ||||||||
\(476\) | 198.284 | − | 176.462i | 0.416562 | − | 0.370718i | ||||
\(477\) | 213.193 | − | 419.904i | 0.446945 | − | 0.880303i | ||||
\(478\) | 44.6864 | + | 77.3991i | 0.0934862 | + | 0.161923i | ||||
\(479\) | −704.633 | − | 406.820i | −1.47105 | − | 0.849311i | −0.471578 | − | 0.881824i | \(-0.656315\pi\) |
−0.999471 | + | 0.0325135i | \(0.989649\pi\) | |||||||
\(480\) | −27.5448 | − | 26.1014i | −0.0573849 | − | 0.0543780i | ||||
\(481\) | 376.494 | + | 652.107i | 0.782732 | + | 1.35573i | ||||
\(482\) | − | 457.681i | − | 0.949545i | ||||||
\(483\) | 543.221 | + | 16.9906i | 1.12468 | + | 0.0351773i | ||||
\(484\) | −233.953 | −0.483374 | ||||||||
\(485\) | 137.662 | − | 79.4795i | 0.283840 | − | 0.163875i | ||||
\(486\) | −340.873 | − | 43.6324i | −0.701384 | − | 0.0897785i | ||||
\(487\) | 262.184 | − | 454.116i | 0.538365 | − | 0.932476i | −0.460627 | − | 0.887594i | \(-0.652375\pi\) |
0.998992 | − | 0.0448821i | \(-0.0142912\pi\) | |||||||
\(488\) | −190.795 | + | 110.156i | −0.390973 | + | 0.225729i | ||||
\(489\) | −137.449 | + | 574.331i | −0.281081 | + | 1.17450i | ||||
\(490\) | 17.9850 | − | 153.904i | 0.0367040 | − | 0.314090i | ||||
\(491\) | 867.565i | 1.76693i | 0.468493 | + | 0.883467i | \(0.344797\pi\) | ||||
−0.468493 | + | 0.883467i | \(0.655203\pi\) | |||||||
\(492\) | 39.0660 | + | 131.538i | 0.0794025 | + | 0.267353i | ||||
\(493\) | −97.7601 | + | 169.325i | −0.198296 | + | 0.343459i | ||||
\(494\) | 301.810 | + | 174.250i | 0.610951 | + | 0.352733i | ||||
\(495\) | −2.17054 | − | 40.3087i | −0.00438492 | − | 0.0814317i | ||||
\(496\) | 192.074 | 0.387245 | ||||||||
\(497\) | −71.6958 | − | 347.201i | −0.144257 | − | 0.698594i | ||||
\(498\) | −129.704 | + | 541.969i | −0.260449 | + | 1.08829i | ||||
\(499\) | −284.634 | − | 493.000i | −0.570409 | − | 0.987977i | −0.996524 | − | 0.0833078i | \(-0.973452\pi\) |
0.426115 | − | 0.904669i | \(-0.359882\pi\) | |||||||
\(500\) | −19.3649 | − | 11.1803i | −0.0387298 | − | 0.0223607i | ||||
\(501\) | −423.977 | + | 447.421i | −0.846261 | + | 0.893056i | ||||
\(502\) | −73.4061 | − | 127.143i | −0.146227 | − | 0.253273i | ||||
\(503\) | − | 952.490i | − | 1.89362i | −0.321797 | − | 0.946809i | \(-0.604287\pi\) | ||
0.321797 | − | 0.946809i | \(-0.395713\pi\) | |||||||
\(504\) | 172.319 | − | 45.3667i | 0.341903 | − | 0.0900133i | ||||
\(505\) | 370.760 | 0.734177 | ||||||||
\(506\) | −63.5793 | + | 36.7075i | −0.125651 | + | 0.0725445i | ||||
\(507\) | 272.702 | + | 258.413i | 0.537873 | + | 0.509689i | ||||
\(508\) | 106.098 | − | 183.768i | 0.208855 | − | 0.361747i | ||||
\(509\) | −439.764 | + | 253.898i | −0.863976 | + | 0.498817i | −0.865342 | − | 0.501182i | \(-0.832899\pi\) |
0.00136587 | + | 0.999999i | \(0.499565\pi\) | |||||||
\(510\) | 174.927 | + | 41.8634i | 0.342993 | + | 0.0820850i | ||||
\(511\) | −156.357 | + | 471.878i | −0.305982 | + | 0.923440i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 381.546 | + | 69.8655i | 0.743753 | + | 0.136190i | ||||
\(514\) | −178.904 | + | 309.870i | −0.348061 | + | 0.602860i | ||||
\(515\) | 58.9955 | + | 34.0611i | 0.114554 | + | 0.0661380i | ||||
\(516\) | −423.534 | + | 125.787i | −0.820801 | + | 0.243774i | ||||
\(517\) | −46.5330 | −0.0900058 | ||||||||
\(518\) | −412.512 | − | 136.686i | −0.796355 | − | 0.263872i | ||||
\(519\) | 184.341 | + | 44.1163i | 0.355184 | + | 0.0850025i | ||||
\(520\) | 54.2430 | + | 93.9516i | 0.104313 | + | 0.180676i | ||||
\(521\) | −352.936 | − | 203.768i | −0.677420 | − | 0.391109i | 0.121462 | − | 0.992596i | \(-0.461242\pi\) |
−0.798882 | + | 0.601487i | \(0.794575\pi\) | |||||||
\(522\) | −109.978 | + | 71.6454i | −0.210686 | + | 0.137252i | ||||
\(523\) | −197.041 | − | 341.285i | −0.376752 | − | 0.652554i | 0.613836 | − | 0.789434i | \(-0.289626\pi\) |
−0.990588 | + | 0.136880i | \(0.956292\pi\) | |||||||
\(524\) | − | 405.266i | − | 0.773409i | ||||||
\(525\) | 92.5295 | − | 49.6316i | 0.176247 | − | 0.0945363i | ||||
\(526\) | −95.5828 | −0.181716 | ||||||||
\(527\) | −788.437 | + | 455.204i | −1.49608 | + | 0.863765i | ||||
\(528\) | −16.5564 | + | 17.4719i | −0.0313567 | + | 0.0330906i | ||||
\(529\) | 70.3958 | − | 121.929i | 0.133073 | − | 0.230490i | ||||
\(530\) | −143.298 | + | 82.7332i | −0.270374 | + | 0.156100i | ||||
\(531\) | 206.571 | − | 406.862i | 0.389023 | − | 0.766218i | ||||
\(532\) | −196.972 | + | 40.6740i | −0.370248 | + | 0.0764549i | ||||
\(533\) | − | 392.282i | − | 0.735989i | ||||||
\(534\) | 213.621 | − | 63.4443i | 0.400039 | − | 0.118810i | ||||
\(535\) | −14.1848 | + | 24.5687i | −0.0265136 | + | 0.0459229i | ||||
\(536\) | 68.1063 | + | 39.3212i | 0.127064 | + | 0.0733604i | ||||
\(537\) | 92.9350 | + | 312.918i | 0.173063 | + | 0.582715i | ||||
\(538\) | 236.703 | 0.439968 | ||||||||
\(539\) | −97.6227 | − | 11.4080i | −0.181118 | − | 0.0211651i | ||||
\(540\) | 91.9860 | + | 78.2214i | 0.170344 | + | 0.144854i | ||||
\(541\) | −426.433 | − | 738.603i | −0.788231 | − | 1.36526i | −0.927050 | − | 0.374938i | \(-0.877664\pi\) |
0.138819 | − | 0.990318i | \(-0.455669\pi\) | |||||||
\(542\) | 218.366 | + | 126.073i | 0.402889 | + | 0.232608i | ||||
\(543\) | 139.704 | + | 132.384i | 0.257282 | + | 0.243801i | ||||
\(544\) | −53.6258 | − | 92.8825i | −0.0985768 | − | 0.170740i | ||||
\(545\) | − | 392.625i | − | 0.720413i | ||||||
\(546\) | −509.173 | − | 15.9257i | −0.932552 | − | 0.0291679i | ||||
\(547\) | 317.442 | 0.580333 | 0.290166 | − | 0.956976i | \(-0.406289\pi\) | ||||
0.290166 | + | 0.956976i | \(0.406289\pi\) | |||||||
\(548\) | −337.581 | + | 194.902i | −0.616023 | + | 0.355661i | ||||
\(549\) | 587.381 | − | 382.650i | 1.06991 | − | 0.696994i | ||||
\(550\) | −7.09178 | + | 12.2833i | −0.0128941 | + | 0.0223333i | ||||
\(551\) | 128.303 | − | 74.0760i | 0.232855 | − | 0.134439i | ||||
\(552\) | 51.1117 | − | 213.571i | 0.0925937 | − | 0.386904i | ||||
\(553\) | 162.270 | + | 182.337i | 0.293436 | + | 0.329724i | ||||
\(554\) | − | 563.073i | − | 1.01638i | ||||||
\(555\) | −83.8386 | − | 282.290i | −0.151061 | − | 0.508630i | ||||
\(556\) | 185.663 | − | 321.579i | 0.333927 | − | 0.578379i | ||||
\(557\) | −605.719 | − | 349.712i | −1.08747 | − | 0.627849i | −0.154566 | − | 0.987983i | \(-0.549398\pi\) |
−0.932901 | + | 0.360133i | \(0.882731\pi\) | |||||||
\(558\) | −610.290 | + | 32.8628i | −1.09371 | + | 0.0588940i | ||||
\(559\) | 1263.09 | 2.25956 | ||||||||
\(560\) | −59.4322 | − | 19.6929i | −0.106129 | − | 0.0351659i | ||||
\(561\) | 26.5543 | − | 110.957i | 0.0473338 | − | 0.197785i | ||||
\(562\) | 29.8081 | + | 51.6292i | 0.0530394 | + | 0.0918669i | ||||
\(563\) | 348.433 | + | 201.168i | 0.618887 | + | 0.357314i | 0.776435 | − | 0.630197i | \(-0.217026\pi\) |
−0.157549 | + | 0.987511i | \(0.550359\pi\) | |||||||
\(564\) | 95.7405 | − | 101.035i | 0.169753 | − | 0.179139i | ||||
\(565\) | 126.287 | + | 218.736i | 0.223517 | + | 0.387143i | ||||
\(566\) | 621.192i | 1.09751i | ||||||||
\(567\) | −539.761 | + | 173.630i | −0.951959 | + | 0.306226i | ||||
\(568\) | −143.250 | −0.252201 | ||||||||
\(569\) | 104.507 | − | 60.3370i | 0.183667 | − | 0.106040i | −0.405347 | − | 0.914163i | \(-0.632849\pi\) |
0.589015 | + | 0.808122i | \(0.299516\pi\) | |||||||
\(570\) | −98.9289 | − | 93.7451i | −0.173560 | − | 0.164465i | ||||
\(571\) | −407.729 | + | 706.207i | −0.714061 | + | 1.23679i | 0.249260 | + | 0.968437i | \(0.419813\pi\) |
−0.963321 | + | 0.268353i | \(0.913521\pi\) | |||||||
\(572\) | 59.5942 | − | 34.4067i | 0.104186 | − | 0.0601517i | ||||
\(573\) | −527.255 | − | 126.182i | −0.920165 | − | 0.220213i | ||||
\(574\) | 150.509 | + | 169.121i | 0.262211 | + | 0.294636i | ||||
\(575\) | − | 129.402i | − | 0.225046i | ||||||
\(576\) | −3.87144 | − | 71.8958i | −0.00672125 | − | 0.124819i | ||||
\(577\) | −13.4413 | + | 23.2811i | −0.0232952 | + | 0.0403485i | −0.877438 | − | 0.479690i | \(-0.840749\pi\) |
0.854143 | + | 0.520039i | \(0.174082\pi\) | |||||||
\(578\) | 86.3020 | + | 49.8265i | 0.149311 | + | 0.0862050i | ||||
\(579\) | 289.639 | − | 86.0212i | 0.500240 | − | 0.148569i | ||||
\(580\) | 46.1188 | 0.0795152 | ||||||||
\(581\) | 185.941 | + | 900.456i | 0.320036 | + | 1.54984i | ||||
\(582\) | 293.321 | + | 70.1973i | 0.503987 | + | 0.120614i | ||||
\(583\) | 52.4783 | + | 90.8951i | 0.0900142 | + | 0.155909i | ||||
\(584\) | 173.952 | + | 100.431i | 0.297862 | + | 0.171971i | ||||
\(585\) | −188.425 | − | 289.239i | −0.322094 | − | 0.494426i | ||||
\(586\) | 252.658 | + | 437.617i | 0.431158 | + | 0.746787i | ||||
\(587\) | 43.6606i | 0.0743791i | 0.999308 | + | 0.0371896i | \(0.0118405\pi\) | ||||
−0.999308 | + | 0.0371896i | \(0.988159\pi\) | |||||||
\(588\) | 225.626 | − | 188.491i | 0.383718 | − | 0.320563i | ||||
\(589\) | 689.845 | 1.17121 | ||||||||
\(590\) | −138.847 | + | 80.1635i | −0.235334 | + | 0.135870i | ||||
\(591\) | 654.401 | − | 690.587i | 1.10728 | − | 1.16851i | ||||
\(592\) | −87.7960 | + | 152.067i | −0.148304 | + | 0.256870i | ||||
\(593\) | 742.447 | − | 428.652i | 1.25202 | − | 0.722853i | 0.280509 | − | 0.959851i | \(-0.409497\pi\) |
0.971510 | + | 0.236998i | \(0.0761635\pi\) | |||||||
\(594\) | 49.6164 | − | 58.3474i | 0.0835293 | − | 0.0982279i | ||||
\(595\) | 290.633 | − | 60.0145i | 0.488458 | − | 0.100865i | ||||
\(596\) | − | 499.547i | − | 0.838166i | ||||||
\(597\) | −821.842 | + | 244.083i | −1.37662 | + | 0.408849i | ||||
\(598\) | −313.905 | + | 543.700i | −0.524925 | + | 0.909197i | ||||
\(599\) | 117.759 | + | 67.9880i | 0.196592 | + | 0.113502i | 0.595065 | − | 0.803678i | \(-0.297126\pi\) |
−0.398473 | + | 0.917180i | \(0.630460\pi\) | |||||||
\(600\) | −12.0790 | − | 40.6706i | −0.0201316 | − | 0.0677844i | ||||
\(601\) | 814.502 | 1.35524 | 0.677622 | − | 0.735410i | \(-0.263011\pi\) | ||||
0.677622 | + | 0.735410i | \(0.263011\pi\) | |||||||
\(602\) | −544.547 | + | 484.618i | −0.904563 | + | 0.805013i | ||||
\(603\) | −223.127 | − | 113.286i | −0.370028 | − | 0.187870i | ||||
\(604\) | 90.5182 | + | 156.782i | 0.149865 | + | 0.259573i | ||||
\(605\) | −226.524 | − | 130.784i | −0.374420 | − | 0.216171i | ||||
\(606\) | 510.624 | + | 483.868i | 0.842614 | + | 0.798462i | ||||
\(607\) | 269.433 | + | 466.672i | 0.443877 | + | 0.768818i | 0.997973 | − | 0.0636349i | \(-0.0202693\pi\) |
−0.554096 | + | 0.832453i | \(0.686936\pi\) | |||||||
\(608\) | 81.2679i | 0.133664i | ||||||||
\(609\) | −114.091 | + | 184.071i | −0.187342 | + | 0.302252i | ||||
\(610\) | −246.315 | −0.403796 | ||||||||
\(611\) | −344.616 | + | 198.964i | −0.564020 | + | 0.325637i | ||||
\(612\) | 186.281 | + | 285.948i | 0.304381 | + | 0.467235i | ||||
\(613\) | 0.656524 | − | 1.13713i | 0.00107100 | − | 0.00185503i | −0.865489 | − | 0.500927i | \(-0.832992\pi\) |
0.866560 | + | 0.499072i | \(0.166326\pi\) | |||||||
\(614\) | −369.457 | + | 213.306i | −0.601721 | + | 0.347404i | ||||
\(615\) | −35.7063 | + | 149.199i | −0.0580591 | + | 0.242601i | ||||
\(616\) | −12.4913 | + | 37.6983i | −0.0202782 | + | 0.0611986i | ||||
\(617\) | − | 305.983i | − | 0.495920i | −0.968770 | − | 0.247960i | \(-0.920240\pi\) | ||
0.968770 | − | 0.247960i | \(-0.0797601\pi\) | |||||||
\(618\) | 36.7987 | + | 123.904i | 0.0595449 | + | 0.200491i | ||||
\(619\) | 362.638 | − | 628.107i | 0.585845 | − | 1.01471i | −0.408925 | − | 0.912568i | \(-0.634096\pi\) |
0.994770 | − | 0.102145i | \(-0.0325705\pi\) | |||||||
\(620\) | 185.974 | + | 107.372i | 0.299959 | + | 0.173181i | ||||
\(621\) | −125.860 | + | 687.341i | −0.202674 | + | 1.10683i | ||||
\(622\) | 270.495 | 0.434880 | ||||||||
\(623\) | 274.658 | − | 244.431i | 0.440863 | − | 0.392345i | ||||
\(624\) | −47.9081 | + | 200.185i | −0.0767758 | + | 0.320809i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −422.444 | − | 243.898i | −0.674831 | − | 0.389614i | ||||
\(627\) | −59.4633 | + | 62.7514i | −0.0948377 | + | 0.100082i | ||||
\(628\) | 67.3575 | + | 116.667i | 0.107257 | + | 0.185775i | ||||
\(629\) | − | 832.287i | − | 1.32319i | ||||||
\(630\) | 192.208 | + | 52.4032i | 0.305092 | + | 0.0831796i | ||||
\(631\) | −478.569 | −0.758429 | −0.379215 | − | 0.925309i | \(-0.623806\pi\) | ||||
−0.379215 | + | 0.925309i | \(0.623806\pi\) | |||||||
\(632\) | 85.4127 | − | 49.3130i | 0.135147 | − | 0.0780269i | ||||
\(633\) | 138.594 | + | 131.331i | 0.218947 | + | 0.207475i | ||||
\(634\) | 179.340 | − | 310.626i | 0.282871 | − | 0.489946i | ||||
\(635\) | 205.458 | − | 118.621i | 0.323556 | − | 0.186805i | ||||
\(636\) | −305.328 | − | 73.0710i | −0.480076 | − | 0.114892i | ||||
\(637\) | −771.756 | + | 332.926i | −1.21155 | + | 0.522646i | ||||
\(638\) | − | 29.2535i | − | 0.0458519i | ||||||
\(639\) | 455.160 | − | 24.5094i | 0.712301 | − | 0.0383559i | ||||
\(640\) | −12.6491 | + | 21.9089i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | 281.733 | + | 162.659i | 0.439522 | + | 0.253758i | 0.703395 | − | 0.710799i | \(-0.251667\pi\) |
−0.263873 | + | 0.964557i | \(0.585000\pi\) | |||||||
\(642\) | −51.5998 | + | 15.3249i | −0.0803735 | + | 0.0238705i | ||||
\(643\) | −1203.22 | −1.87125 | −0.935627 | − | 0.352990i | \(-0.885165\pi\) | ||||
−0.935627 | + | 0.352990i | \(0.885165\pi\) | |||||||
\(644\) | −73.2728 | − | 354.838i | −0.113778 | − | 0.550991i | ||||
\(645\) | −480.402 | − | 114.970i | −0.744809 | − | 0.178247i | ||||
\(646\) | −192.601 | − | 333.594i | −0.298143 | − | 0.516399i | ||||
\(647\) | 610.734 | + | 352.608i | 0.943948 | + | 0.544989i | 0.891196 | − | 0.453619i | \(-0.149867\pi\) |
0.0527523 | + | 0.998608i | \(0.483201\pi\) | |||||||
\(648\) | 24.6020 | + | 227.778i | 0.0379661 | + | 0.351509i | ||||
\(649\) | 50.8483 | + | 88.0719i | 0.0783487 | + | 0.135704i | ||||
\(650\) | 121.291i | 0.186602i | ||||||||
\(651\) | −888.624 | + | 476.646i | −1.36501 | + | 0.732175i | ||||
\(652\) | 393.699 | 0.603833 | ||||||||
\(653\) | 685.747 | − | 395.916i | 1.05015 | − | 0.606304i | 0.127458 | − | 0.991844i | \(-0.459318\pi\) |
0.922691 | + | 0.385540i | \(0.125985\pi\) | |||||||
\(654\) | 512.404 | − | 540.739i | 0.783493 | − | 0.826818i | ||||
\(655\) | 226.551 | − | 392.397i | 0.345879 | − | 0.599080i | ||||
\(656\) | 79.2219 | − | 45.7388i | 0.120765 | − | 0.0697238i | ||||
\(657\) | −569.893 | − | 289.345i | −0.867417 | − | 0.440403i | ||||
\(658\) | 72.2338 | − | 217.998i | 0.109778 | − | 0.331305i | ||||
\(659\) | 302.073i | 0.458381i | 0.973382 | + | 0.229191i | \(0.0736079\pi\) | ||||
−0.973382 | + | 0.229191i | \(0.926392\pi\) | |||||||
\(660\) | −25.7977 | + | 7.66177i | −0.0390874 | + | 0.0116087i | ||||
\(661\) | −415.541 | + | 719.739i | −0.628656 | + | 1.08886i | 0.359166 | + | 0.933274i | \(0.383061\pi\) |
−0.987822 | + | 0.155590i | \(0.950272\pi\) | |||||||
\(662\) | −164.168 | − | 94.7826i | −0.247988 | − | 0.143176i | ||||
\(663\) | −277.771 | − | 935.272i | −0.418960 | − | 1.41067i | ||||
\(664\) | 371.515 | 0.559511 | ||||||||
\(665\) | −213.455 | − | 70.7283i | −0.320985 | − | 0.106358i | ||||
\(666\) | 252.943 | − | 498.196i | 0.379794 | − | 0.748042i | ||||
\(667\) | 133.445 | + | 231.134i | 0.200068 | + | 0.346528i | ||||
\(668\) | 355.875 | + | 205.465i | 0.532747 | + | 0.307582i | ||||
\(669\) | 354.429 | + | 335.857i | 0.529789 | + | 0.502028i | ||||
\(670\) | 43.9624 | + | 76.1452i | 0.0656156 | + | 0.113650i | ||||
\(671\) | 156.240i | 0.232846i | ||||||||
\(672\) | −56.1517 | − | 104.685i | −0.0835591 | − | 0.155781i | ||||
\(673\) | −1070.65 | −1.59087 | −0.795434 | − | 0.606041i | \(-0.792757\pi\) | ||||
−0.795434 | + | 0.606041i | \(0.792757\pi\) | |||||||
\(674\) | −372.047 | + | 214.801i | −0.551998 | + | 0.318696i | ||||
\(675\) | 45.3379 | + | 127.159i | 0.0671673 | + | 0.188384i | ||||
\(676\) | 125.230 | − | 216.905i | 0.185252 | − | 0.320865i | ||||
\(677\) | 196.491 | − | 113.444i | 0.290237 | − | 0.167569i | −0.347812 | − | 0.937564i | \(-0.613075\pi\) |
0.638049 | + | 0.769996i | \(0.279742\pi\) | |||||||
\(678\) | −111.538 | + | 466.065i | −0.164511 | + | 0.687411i | ||||
\(679\) | 487.338 | − | 100.634i | 0.717730 | − | 0.148209i | ||||
\(680\) | − | 119.911i | − | 0.176339i | ||||||
\(681\) | −357.955 | − | 1205.26i | −0.525632 | − | 1.76983i | ||||
\(682\) | 68.1071 | − | 117.965i | 0.0998638 | − | 0.172969i | ||||
\(683\) | −135.196 | − | 78.0557i | −0.197945 | − | 0.114284i | 0.397752 | − | 0.917493i | \(-0.369791\pi\) |
−0.595697 | + | 0.803210i | \(0.703124\pi\) | |||||||
\(684\) | −13.9045 | − | 258.219i | −0.0203283 | − | 0.377513i | ||||
\(685\) | −435.815 | −0.636226 | ||||||||
\(686\) | 204.985 | − | 439.635i | 0.298812 | − | 0.640867i | ||||
\(687\) | −103.859 | + | 433.975i | −0.151177 | + | 0.631696i | ||||
\(688\) | 147.273 | + | 255.084i | 0.214059 | + | 0.370761i | ||||
\(689\) | 777.292 | + | 448.769i | 1.12814 | + | 0.651335i | ||||
\(690\) | 168.879 | − | 178.217i | 0.244752 | − | 0.258285i | ||||
\(691\) | −187.984 | − | 325.599i | −0.272047 | − | 0.471199i | 0.697339 | − | 0.716742i | \(-0.254367\pi\) |
−0.969386 | + | 0.245542i | \(0.921034\pi\) | |||||||
\(692\) | − | 126.364i | − | 0.182607i | ||||||
\(693\) | 33.2397 | − | 121.919i | 0.0479650 | − | 0.175929i | ||||
\(694\) | 497.026 | 0.716176 | ||||||||
\(695\) | 359.536 | − | 207.578i | 0.517318 | − | 0.298674i | ||||
\(696\) | 63.5166 | + | 60.1884i | 0.0912595 | + | 0.0864776i | ||||
\(697\) | −216.797 | + | 375.503i | −0.311043 | + | 0.538742i | ||||
\(698\) | 151.610 | − | 87.5318i | 0.217206 | − | 0.125404i | ||||
\(699\) | 219.313 | + | 52.4860i | 0.313753 | + | 0.0750872i | ||||
\(700\) | −46.5364 | − | 52.2912i | −0.0664805 | − | 0.0747017i | ||||
\(701\) | 787.989i | 1.12409i | 0.827106 | + | 0.562046i | \(0.189986\pi\) | ||||
−0.827106 | + | 0.562046i | \(0.810014\pi\) | |||||||
\(702\) | 117.972 | − | 644.259i | 0.168051 | − | 0.917749i | ||||
\(703\) | −315.325 | + | 546.159i | −0.448542 | + | 0.776898i | ||||
\(704\) | 13.8970 | + | 8.02343i | 0.0197400 | + | 0.0113969i | ||||
\(705\) | 149.180 | − | 44.3058i | 0.211604 | − | 0.0628451i | ||||
\(706\) | 391.705 | 0.554823 | ||||||||
\(707\) | 1101.75 | + | 365.066i | 1.55835 | + | 0.516360i | ||||
\(708\) | −295.845 | − | 70.8014i | −0.417860 | − | 0.100002i | ||||
\(709\) | −84.4085 | − | 146.200i | −0.119053 | − | 0.206206i | 0.800340 | − | 0.599547i | \(-0.204652\pi\) |
−0.919393 | + | 0.393341i | \(0.871319\pi\) | |||||||
\(710\) | −138.701 | − | 80.0793i | −0.195354 | − | 0.112788i | ||||
\(711\) | −262.951 | + | 171.300i | −0.369833 | + | 0.240928i | ||||
\(712\) | −74.2811 | − | 128.659i | −0.104327 | − | 0.180700i | ||||
\(713\) | 1242.73i | 1.74296i | ||||||||
\(714\) | 478.594 | + | 296.642i | 0.670299 | + | 0.415465i | ||||
\(715\) | 76.9358 | 0.107603 | ||||||||
\(716\) | 188.463 | − | 108.809i | 0.263216 | − | 0.151968i | ||||
\(717\) | −130.405 | + | 137.616i | −0.181876 | + | 0.191933i | ||||
\(718\) | 306.681 | − | 531.186i | 0.427132 | − | 0.739814i | ||||
\(719\) | −263.079 | + | 151.888i | −0.365895 | + | 0.211250i | −0.671664 | − | 0.740856i | \(-0.734420\pi\) |
0.305769 | + | 0.952106i | \(0.401087\pi\) | |||||||
\(720\) | 36.4425 | − | 71.7770i | 0.0506146 | − | 0.0996903i | ||||
\(721\) | 141.774 | + | 159.306i | 0.196635 | + | 0.220951i | ||||
\(722\) | − | 218.652i | − | 0.302842i | ||||||
\(723\) | 930.708 | − | 276.415i | 1.28729 | − | 0.382317i | ||||
\(724\) | 64.1549 | − | 111.120i | 0.0886118 | − | 0.153480i | ||||
\(725\) | 44.6543 | + | 25.7812i | 0.0615922 | + | 0.0355603i | ||||
\(726\) | −141.295 | − | 475.751i | −0.194622 | − | 0.655304i | ||||
\(727\) | 80.7367 | 0.111055 | 0.0555273 | − | 0.998457i | \(-0.482316\pi\) | ||||
0.0555273 | + | 0.998457i | \(0.482316\pi\) | |||||||
\(728\) | 68.6802 | + | 332.598i | 0.0943409 | + | 0.456865i | ||||
\(729\) | −117.142 | − | 719.527i | −0.160688 | − | 0.987005i | ||||
\(730\) | 112.285 | + | 194.484i | 0.153815 | + | 0.266416i | ||||
\(731\) | −1209.07 | − | 698.057i | −1.65399 | − | 0.954934i | ||||
\(732\) | −339.235 | − | 321.459i | −0.463436 | − | 0.439152i | ||||
\(733\) | 307.947 | + | 533.380i | 0.420119 | + | 0.727667i | 0.995951 | − | 0.0899009i | \(-0.0286550\pi\) |
−0.575832 | + | 0.817568i | \(0.695322\pi\) | |||||||
\(734\) | − | 268.971i | − | 0.366446i | ||||||
\(735\) | 323.831 | − | 56.3772i | 0.440587 | − | 0.0767036i | ||||
\(736\) | −146.401 | −0.198915 | ||||||||
\(737\) | 48.2995 | − | 27.8857i | 0.0655352 | − | 0.0378368i | ||||
\(738\) | −243.892 | + | 158.884i | −0.330477 | + | 0.215290i | ||||
\(739\) | −53.5693 | + | 92.7848i | −0.0724889 | + | 0.125555i | −0.899992 | − | 0.435907i | \(-0.856428\pi\) |
0.827503 | + | 0.561462i | \(0.189761\pi\) | |||||||
\(740\) | −170.016 | + | 98.1589i | −0.229752 | + | 0.132647i | ||||
\(741\) | −172.065 | + | 718.977i | −0.232207 | + | 0.970280i | ||||
\(742\) | −507.289 | + | 104.753i | −0.683678 | + | 0.141177i | ||||
\(743\) | 146.151i | 0.196704i | 0.995152 | + | 0.0983521i | \(0.0313571\pi\) | ||||
−0.995152 | + | 0.0983521i | \(0.968643\pi\) | |||||||
\(744\) | 116.002 | + | 390.588i | 0.155917 | + | 0.524983i | ||||
\(745\) | 279.255 | − | 483.684i | 0.374839 | − | 0.649241i | ||||
\(746\) | 796.725 | + | 459.989i | 1.06800 | + | 0.616608i | ||||
\(747\) | −1180.44 | + | 63.5644i | −1.58025 | + | 0.0850929i | ||||
\(748\) | −76.0604 | −0.101685 | ||||||||
\(749\) | −66.3431 | + | 59.0418i | −0.0885756 | + | 0.0788275i | ||||
\(750\) | 11.0402 | − | 46.1315i | 0.0147202 | − | 0.0615087i | ||||
\(751\) | 19.5213 | + | 33.8118i | 0.0259937 | + | 0.0450224i | 0.878730 | − | 0.477320i | \(-0.158392\pi\) |
−0.852736 | + | 0.522342i | \(0.825058\pi\) | |||||||
\(752\) | −80.3622 | − | 46.3971i | −0.106865 | − | 0.0616983i | ||||
\(753\) | 214.216 | − | 226.061i | 0.284483 | − | 0.300214i | ||||
\(754\) | −125.081 | − | 216.647i | −0.165890 | − | 0.287330i | ||||
\(755\) | 202.405i | 0.268086i | ||||||||
\(756\) | 196.326 | + | 323.017i | 0.259691 | + | 0.427271i | ||||
\(757\) | 410.080 | 0.541718 | 0.270859 | − | 0.962619i | \(-0.412692\pi\) | ||||
0.270859 | + | 0.962619i | \(0.412692\pi\) | |||||||
\(758\) | −585.769 | + | 338.194i | −0.772783 | + | 0.446166i | ||||
\(759\) | −113.044 | − | 107.121i | −0.148939 | − | 0.141134i | ||||
\(760\) | −45.4301 | + | 78.6873i | −0.0597765 | + | 0.103536i | ||||
\(761\) | 467.310 | − | 269.802i | 0.614074 | − | 0.354536i | −0.160484 | − | 0.987038i | \(-0.551306\pi\) |
0.774558 | + | 0.632503i | \(0.217972\pi\) | |||||||
\(762\) | 437.775 | + | 104.768i | 0.574507 | + | 0.137491i | ||||
\(763\) | 386.596 | − | 1166.73i | 0.506679 | − | 1.52914i | ||||
\(764\) | 361.429i | 0.473075i | ||||||||
\(765\) | 20.5161 | + | 381.002i | 0.0268185 | + | 0.498042i | ||||
\(766\) | −285.828 | + | 495.068i | −0.373143 | + | 0.646303i | ||||
\(767\) | 753.149 | + | 434.831i | 0.981941 | + | 0.566924i | ||||
\(768\) | −46.0135 | + | 13.6658i | −0.0599135 | + | 0.0177940i | ||||
\(769\) | 23.9276 | 0.0311152 | 0.0155576 | − | 0.999879i | \(-0.495048\pi\) | ||||
0.0155576 | + | 0.999879i | \(0.495048\pi\) | |||||||
\(770\) | −33.1687 | + | 29.5184i | −0.0430762 | + | 0.0383355i | ||||
\(771\) | −738.179 | − | 176.661i | −0.957430 | − | 0.229132i | ||||
\(772\) | −100.714 | − | 174.442i | −0.130459 | − | 0.225962i | ||||
\(773\) | −1025.85 | − | 592.275i | −1.32710 | − | 0.766203i | −0.342252 | − | 0.939608i | \(-0.611190\pi\) |
−0.984851 | + | 0.173405i | \(0.944523\pi\) | |||||||
\(774\) | −511.584 | − | 785.300i | −0.660962 | − | 1.01460i | ||||
\(775\) | 120.046 | + | 207.926i | 0.154898 | + | 0.268291i | ||||
\(776\) | − | 201.069i | − | 0.259109i | ||||||
\(777\) | 28.8193 | − | 921.407i | 0.0370905 | − | 1.18585i | ||||
\(778\) | 882.723 | 1.13460 | ||||||||
\(779\) | 284.531 | − | 164.274i | 0.365252 | − | 0.210878i | ||||
\(780\) | −158.294 | + | 167.047i | −0.202940 | + | 0.214162i | ||||
\(781\) | −50.7949 | + | 87.9794i | −0.0650383 | + | 0.112650i | ||||
\(782\) | 600.958 | − | 346.963i | 0.768488 | − | 0.443687i | ||||
\(783\) | −212.114 | − | 180.374i | −0.270899 | − | 0.230363i | ||||
\(784\) | −157.219 | − | 117.039i | −0.200534 | − | 0.149285i | ||||
\(785\) | 150.616i | 0.191867i | ||||||||
\(786\) | 824.122 | − | 244.760i | 1.04850 | − | 0.311399i | ||||
\(787\) | 399.486 | − | 691.930i | 0.507606 | − | 0.879199i | −0.492355 | − | 0.870394i | \(-0.663864\pi\) |
0.999961 | − | 0.00880481i | \(-0.00280270\pi\) | |||||||
\(788\) | −549.288 | − | 317.131i | −0.697066 | − | 0.402451i | ||||
\(789\) | −57.7270 | − | 194.371i | −0.0731648 | − | 0.246350i | ||||
\(790\) | 110.267 | 0.139579 | ||||||||
\(791\) | 159.899 | + | 774.345i | 0.202148 | + | 0.978945i | ||||
\(792\) | −45.5287 | − | 23.1158i | −0.0574858 | − | 0.0291866i | ||||
\(793\) | 668.044 | + | 1157.09i | 0.842426 | + | 1.45913i | ||||
\(794\) | 450.596 | + | 260.152i | 0.567501 | + | 0.327647i | ||||
\(795\) | −254.785 | − | 241.435i | −0.320484 | − | 0.303691i | ||||
\(796\) | 285.774 | + | 494.975i | 0.359012 | + | 0.621828i | ||||
\(797\) | − | 310.003i | − | 0.388962i | −0.980906 | − | 0.194481i | \(-0.937698\pi\) | ||
0.980906 | − | 0.194481i | \(-0.0623023\pi\) | |||||||
\(798\) | −201.673 | − | 375.984i | −0.252723 | − | 0.471158i | ||||
\(799\) | 439.835 | 0.550482 | ||||||||
\(800\) | −24.4949 | + | 14.1421i | −0.0306186 | + | 0.0176777i | ||||
\(801\) | 258.032 | + | 396.088i | 0.322137 | + | 0.494492i | ||||
\(802\) | 119.558 | − | 207.081i | 0.149075 | − | 0.258205i | ||||
\(803\) | 123.363 | − | 71.2234i | 0.153627 | − | 0.0886966i | ||||
\(804\) | −38.8282 | + | 162.244i | −0.0482938 | + | 0.201796i | ||||
\(805\) | 127.415 | − | 384.531i | 0.158279 | − | 0.477679i | ||||
\(806\) | − | 1164.84i | − | 1.44521i | ||||||
\(807\) | 142.956 | + | 481.342i | 0.177145 | + | 0.596458i | ||||
\(808\) | 234.489 | − | 406.147i | 0.290209 | − | 0.502657i | ||||
\(809\) | −323.115 | − | 186.551i | −0.399401 | − | 0.230594i | 0.286824 | − | 0.957983i | \(-0.407400\pi\) |
−0.686226 | + | 0.727389i | \(0.740734\pi\) | |||||||
\(810\) | −103.511 | + | 234.298i | −0.127791 | + | 0.289257i | ||||
\(811\) | 310.799 | 0.383229 | 0.191615 | − | 0.981470i | \(-0.438628\pi\) | ||||
0.191615 | + | 0.981470i | \(0.438628\pi\) | |||||||
\(812\) | 137.047 | + | 45.4106i | 0.168777 | + | 0.0559244i | ||||
\(813\) | −124.493 | + | 520.195i | −0.153128 | + | 0.639846i | ||||
\(814\) | 62.2629 | + | 107.843i | 0.0764901 | + | 0.132485i | ||||
\(815\) | 381.198 | + | 220.085i | 0.467727 | + | 0.270042i | ||||
\(816\) | 156.492 | − | 165.146i | 0.191780 | − | 0.202385i | ||||
\(817\) | 528.940 | + | 916.151i | 0.647417 | + | 1.12136i | ||||
\(818\) | 290.175i | 0.354737i | ||||||||
\(819\) | −275.129 | − | 1045.04i | −0.335932 | − | 1.27599i | ||||
\(820\) | 102.275 | 0.124726 | ||||||||
\(821\) | 57.6150 | − | 33.2641i | 0.0701767 | − | 0.0405165i | −0.464501 | − | 0.885573i | \(-0.653766\pi\) |
0.534678 | + | 0.845056i | \(0.320433\pi\) | |||||||
\(822\) | −600.221 | − | 568.770i | −0.730196 | − | 0.691934i | ||||
\(823\) | −640.792 | + | 1109.88i | −0.778605 | + | 1.34858i | 0.154140 | + | 0.988049i | \(0.450739\pi\) |
−0.932746 | + | 0.360535i | \(0.882594\pi\) | |||||||
\(824\) | 74.6241 | − | 43.0842i | 0.0905632 | − | 0.0522867i | ||||
\(825\) | −29.2616 | − | 7.00286i | −0.0354686 | − | 0.00848832i | ||||
\(826\) | −491.532 | + | 101.500i | −0.595076 | + | 0.122881i | ||||
\(827\) | 1452.57i | 1.75643i | 0.478265 | + | 0.878215i | \(0.341266\pi\) | ||||
−0.478265 | + | 0.878215i | \(0.658734\pi\) | |||||||
\(828\) | 465.172 | − | 25.0485i | 0.561802 | − | 0.0302518i | ||||
\(829\) | −52.2539 | + | 90.5065i | −0.0630325 | + | 0.109175i | −0.895820 | − | 0.444418i | \(-0.853411\pi\) |
0.832787 | + | 0.553593i | \(0.186744\pi\) | |||||||
\(830\) | 359.718 | + | 207.683i | 0.433395 | + | 0.250221i | ||||
\(831\) | 1145.03 | − | 340.066i | 1.37789 | − | 0.409226i | ||||
\(832\) | 137.225 | 0.164934 | ||||||||
\(833\) | 922.740 | + | 107.830i | 1.10773 | + | 0.129447i | ||||
\(834\) | 766.071 | + | 183.336i | 0.918550 | + | 0.219827i | ||||
\(835\) | 229.716 | + | 397.881i | 0.275110 | + | 0.476504i | ||||
\(836\) | 49.9120 | + | 28.8167i | 0.0597033 | + | 0.0344697i | ||||
\(837\) | −435.411 | − | 1221.20i | −0.520204 | − | 1.45902i | ||||
\(838\) | −370.103 | − | 641.037i | −0.441650 | − | 0.764960i | ||||
\(839\) | − | 408.992i | − | 0.487476i | −0.969841 | − | 0.243738i | \(-0.921626\pi\) | ||
0.969841 | − | 0.243738i | \(-0.0783736\pi\) | |||||||
\(840\) | 4.15211 | − | 132.751i | 0.00494299 | − | 0.158037i | ||||
\(841\) | 734.653 | 0.873547 | ||||||||
\(842\) | 72.4043 | − | 41.8026i | 0.0859908 | − | 0.0496468i | ||||
\(843\) | −86.9870 | + | 91.7970i | −0.103187 | + | 0.108893i | ||||
\(844\) | 63.6450 | − | 110.236i | 0.0754087 | − | 0.130612i | ||||
\(845\) | 242.507 | − | 140.012i | 0.286991 | − | 0.165694i | ||||
\(846\) | 263.279 | + | 133.672i | 0.311205 | + | 0.158004i | ||||
\(847\) | −544.366 | − | 611.684i | −0.642699 | − | 0.722177i | ||||
\(848\) | 209.300i | 0.246816i | ||||||||
\(849\) | −1263.21 | + | 375.168i | −1.48788 | + | 0.441894i | ||||
\(850\) | 67.0322 | − | 116.103i | 0.0788614 | − | 0.136592i | ||||
\(851\) | −983.887 | − | 568.047i | −1.15615 | − | 0.667506i | ||||
\(852\) | −86.5157 | − | 291.304i | −0.101544 | − | 0.341906i | ||||
\(853\) | −1386.95 | −1.62596 | −0.812982 | − | 0.582289i | \(-0.802157\pi\) | ||||
−0.812982 | + | 0.582289i | \(0.802157\pi\) | |||||||
\(854\) | −731.954 | − | 242.533i | −0.857088 | − | 0.283996i | ||||
\(855\) | 130.886 | − | 257.792i | 0.153083 | − | 0.301511i | ||||
\(856\) | 17.9425 | + | 31.0773i | 0.0209608 | + | 0.0363052i | ||||
\(857\) | 474.875 | + | 274.169i | 0.554114 | + | 0.319918i | 0.750780 | − | 0.660553i | \(-0.229678\pi\) |
−0.196666 | + | 0.980471i | \(0.563011\pi\) | |||||||
\(858\) | 105.959 | + | 100.407i | 0.123495 | + | 0.117024i | ||||
\(859\) | 275.679 | + | 477.490i | 0.320930 | + | 0.555867i | 0.980680 | − | 0.195618i | \(-0.0626713\pi\) |
−0.659750 | + | 0.751485i | \(0.729338\pi\) | |||||||
\(860\) | 329.312i | 0.382921i | ||||||||
\(861\) | −253.014 | + | 408.205i | −0.293860 | + | 0.474106i | ||||
\(862\) | 338.668 | 0.392886 | ||||||||
\(863\) | −773.344 | + | 446.490i | −0.896111 | + | 0.517370i | −0.875936 | − | 0.482426i | \(-0.839756\pi\) |
−0.0201747 | + | 0.999796i | \(0.506422\pi\) | |||||||
\(864\) | 143.864 | − | 51.2940i | 0.166510 | − | 0.0593681i | ||||
\(865\) | 70.6397 | − | 122.351i | 0.0816643 | − | 0.141447i | ||||
\(866\) | −654.342 | + | 377.785i | −0.755592 | + | 0.436241i | ||||
\(867\) | −49.2018 | + | 205.590i | −0.0567495 | + | 0.237128i | ||||
\(868\) | 446.920 | + | 502.188i | 0.514885 | + | 0.578557i | ||||
\(869\) | − | 69.9434i | − | 0.0804872i | ||||||
\(870\) | 27.8534 | + | 93.7840i | 0.0320154 | + | 0.107798i | ||||
\(871\) | 238.465 | − | 413.034i | 0.273783 | − | 0.474207i | ||||
\(872\) | −430.099 | − | 248.318i | −0.493233 | − | 0.284768i | ||||
\(873\) | 34.4019 | + | 638.872i | 0.0394065 | + | 0.731812i | ||||
\(874\) | −525.810 | −0.601613 | ||||||||
\(875\) | −15.8270 | − | 76.6453i | −0.0180880 | − | 0.0875947i | ||||
\(876\) | −99.1718 | + | 414.391i | −0.113210 | + | 0.473049i | ||||
\(877\) | 341.484 | + | 591.468i | 0.389377 | + | 0.674421i | 0.992366 | − | 0.123328i | \(-0.0393569\pi\) |
−0.602989 | + | 0.797750i | \(0.706024\pi\) | |||||||
\(878\) | −442.336 | − | 255.383i | −0.503800 | − | 0.290869i | ||||
\(879\) | −737.316 | + | 778.087i | −0.838812 | + | 0.885195i | ||||
\(880\) | 8.97047 | + | 15.5373i | 0.0101937 | + | 0.0176560i | ||||
\(881\) | 632.231i | 0.717629i | 0.933409 | + | 0.358814i | \(0.116819\pi\) | ||||
−0.933409 | + | 0.358814i | \(0.883181\pi\) | |||||||
\(882\) | 519.569 | + | 344.978i | 0.589081 | + | 0.391132i | ||||
\(883\) | −1077.98 | −1.22082 | −0.610408 | − | 0.792087i | \(-0.708994\pi\) | ||||
−0.610408 | + | 0.792087i | \(0.708994\pi\) | |||||||
\(884\) | −563.291 | + | 325.216i | −0.637207 | + | 0.367892i | ||||
\(885\) | −246.871 | − | 233.935i | −0.278951 | − | 0.264334i | ||||
\(886\) | −140.523 | + | 243.393i | −0.158604 | + | 0.274710i | ||||
\(887\) | 375.227 | − | 216.637i | 0.423029 | − | 0.244236i | −0.273343 | − | 0.961917i | \(-0.588130\pi\) |
0.696372 | + | 0.717681i | \(0.254796\pi\) | |||||||
\(888\) | −362.257 | − | 86.6952i | −0.407947 | − | 0.0976297i | ||||
\(889\) | 727.342 | − | 150.193i | 0.818158 | − | 0.168947i | ||||
\(890\) | − | 166.098i | − | 0.186626i | ||||||
\(891\) | 148.617 | + | 65.6577i | 0.166798 | + | 0.0736899i | ||||
\(892\) | 162.761 | − | 281.910i | 0.182467 | − | 0.316042i | ||||
\(893\) | −288.626 | − | 166.639i | −0.323210 | − | 0.186605i | ||||
\(894\) | 1015.84 | − | 301.700i | 1.13629 | − | 0.337472i | ||||
\(895\) | 243.304 | 0.271849 | ||||||||
\(896\) | −59.1607 | + | 52.6499i | −0.0660276 | + | 0.0587610i | ||||
\(897\) | −1295.21 | − | 309.970i | −1.44394 | − | 0.345562i | ||||
\(898\) | 474.253 | + | 821.429i | 0.528121 | + | 0.914732i | ||||
\(899\) | −428.846 | − | 247.594i | −0.477026 | − | 0.275411i | ||||
\(900\) | 75.4099 | − | 49.1259i | 0.0837888 | − | 0.0545843i | ||||
\(901\) | −496.030 | − | 859.150i | −0.550533 | − | 0.953551i | ||||
\(902\) | − | 64.8739i | − | 0.0719222i | ||||||
\(903\) | −1314.36 | − | 814.670i | −1.45555 | − | 0.902181i | ||||
\(904\) | 319.484 | 0.353411 | ||||||||
\(905\) | 124.235 | − | 71.7274i | 0.137277 | − | 0.0792568i | ||||
\(906\) | −264.153 | + | 278.760i | −0.291560 | + | 0.307682i | ||||
\(907\) | −701.771 | + | 1215.50i | −0.773727 | + | 1.34013i | 0.161780 | + | 0.986827i | \(0.448277\pi\) |
−0.935507 | + | 0.353308i | \(0.885057\pi\) | |||||||
\(908\) | −725.897 | + | 419.097i | −0.799446 | + | 0.461560i | ||||
\(909\) | −675.570 | + | 1330.60i | −0.743201 | + | 1.46381i | ||||
\(910\) | −119.428 | + | 360.430i | −0.131240 | + | 0.396077i | ||||
\(911\) | − | 1252.55i | − | 1.37492i | −0.726221 | − | 0.687461i | \(-0.758725\pi\) | ||
0.726221 | − | 0.687461i | \(-0.241275\pi\) | |||||||
\(912\) | −165.261 | + | 49.0816i | −0.181207 | + | 0.0538175i | ||||
\(913\) | 131.735 | − | 228.172i | 0.144288 | − | 0.249914i | ||||
\(914\) | −708.424 | − | 409.009i | −0.775081 | − | 0.447493i | ||||
\(915\) | −148.762 | − | 500.890i | −0.162581 | − | 0.547421i | ||||
\(916\) | 297.487 | 0.324767 | ||||||||
\(917\) | 1059.59 | − | 942.981i | 1.15550 | − | 1.02833i | ||||
\(918\) | −468.980 | + | 551.506i | −0.510871 | + | 0.600769i | ||||
\(919\) | 654.024 | + | 1132.80i | 0.711669 | + | 1.23265i | 0.964230 | + | 0.265066i | \(0.0853938\pi\) |
−0.252561 | + | 0.967581i | \(0.581273\pi\) | |||||||
\(920\) | −141.752 | − | 81.8408i | −0.154079 | − | 0.0889574i | ||||
\(921\) | −656.897 | − | 622.476i | −0.713243 | − | 0.675870i | ||||
\(922\) | −441.412 | − | 764.548i | −0.478755 | − | 0.829228i | ||||
\(923\) | 868.749i | 0.941223i | ||||||||
\(924\) | −84.2048 | − | 2.63372i | −0.0911308 | − | 0.00285034i | ||||
\(925\) | −219.490 | −0.237286 | ||||||||
\(926\) | −451.145 | + | 260.469i | −0.487198 | + | 0.281284i | ||||
\(927\) | −229.737 | + | 149.663i | −0.247829 | + | 0.161448i | ||||
\(928\) | 29.1681 | − | 50.5206i | 0.0314311 | − | 0.0544403i | ||||
\(929\) | −43.9854 | + | 25.3950i | −0.0473471 | + | 0.0273359i | −0.523487 | − | 0.852034i | \(-0.675369\pi\) |
0.476140 | + | 0.879370i | \(0.342036\pi\) | |||||||
\(930\) | −106.026 | + | 443.032i | −0.114007 | + | 0.476379i | ||||
\(931\) | −564.663 | − | 420.354i | −0.606512 | − | 0.451508i | ||||
\(932\) | − | 150.338i | − | 0.161306i | ||||||
\(933\) | 163.365 | + | 550.060i | 0.175096 | + | 0.589561i | ||||
\(934\) | −491.644 | + | 851.553i | −0.526386 | + | 0.911727i | ||||
\(935\) | −73.6451 | − | 42.5190i | −0.0787649 | − | 0.0454749i | ||||
\(936\) | −436.016 | + | 23.4785i | −0.465829 | + | 0.0250839i | ||||
\(937\) | −609.355 | −0.650326 | −0.325163 | − | 0.945658i | \(-0.605419\pi\) | ||||
−0.325163 | + | 0.945658i | \(0.605419\pi\) | |||||||
\(938\) | 55.6634 | + | 269.561i | 0.0593426 | + | 0.287379i | ||||
\(939\) | 240.841 | − | 1006.36i | 0.256486 | − | 1.07173i | ||||
\(940\) | −51.8736 | − | 89.8477i | −0.0551847 | − | 0.0955826i | ||||
\(941\) | −545.688 | − | 315.053i | −0.579902 | − | 0.334807i | 0.181192 | − | 0.983448i | \(-0.442004\pi\) |
−0.761094 | + | 0.648641i | \(0.775338\pi\) | |||||||
\(942\) | −196.565 | + | 207.434i | −0.208667 | + | 0.220206i | ||||
\(943\) | 295.934 | + | 512.572i | 0.313822 | + | 0.543555i | ||||
\(944\) | 202.799i | 0.214830i | ||||||||
\(945\) | 9.52016 | + | 422.510i | 0.0100742 | + | 0.447100i | ||||
\(946\) | 208.885 | 0.220809 | ||||||||
\(947\) | 372.673 | − | 215.163i | 0.393531 | − | 0.227205i | −0.290158 | − | 0.956979i | \(-0.593708\pi\) |
0.683689 | + | 0.729774i | \(0.260375\pi\) | |||||||
\(948\) | 151.864 | + | 143.907i | 0.160194 | + | 0.151800i | ||||
\(949\) | 609.069 | − | 1054.94i | 0.641801 | − | 1.11163i | ||||
\(950\) | −87.9751 | + | 50.7925i | −0.0926054 | + | 0.0534657i | ||||
\(951\) | 739.979 | + | 177.091i | 0.778106 | + | 0.186216i | ||||
\(952\) | 118.070 | − | 356.328i | 0.124023 | − | 0.374295i | ||||
\(953\) | 253.974i | 0.266499i | 0.991082 | + | 0.133250i | \(0.0425412\pi\) | ||||
−0.991082 | + | 0.133250i | \(0.957459\pi\) | |||||||
\(954\) | −35.8102 | − | 665.026i | −0.0375369 | − | 0.697092i | ||||
\(955\) | −202.045 | + | 349.952i | −0.211565 | + | 0.366442i | ||||
\(956\) | 109.459 | + | 63.1961i | 0.114497 | + | 0.0661047i | ||||
\(957\) | 59.4879 | − | 17.6676i | 0.0621608 | − | 0.0184614i | ||||
\(958\) | −1150.66 | −1.20111 | ||||||||
\(959\) | −1295.07 | − | 429.122i | −1.35044 | − | 0.447469i | ||||
\(960\) | −52.1918 | − | 12.4905i | −0.0543665 | − | 0.0130110i | ||||
\(961\) | −672.383 | − | 1164.60i | −0.699670 | − | 1.21186i | ||||
\(962\) | 922.218 | + | 532.443i | 0.958647 | + | 0.553475i | ||||
\(963\) | −62.3272 | − | 95.6744i | −0.0647219 | − | 0.0993503i | ||||
\(964\) | −323.629 | − | 560.542i | −0.335715 | − | 0.581475i | ||||
\(965\) | − | 225.204i | − | 0.233372i | ||||||
\(966\) | 677.322 | − | 363.306i | 0.701161 | − | 0.376093i | ||||
\(967\) | 7.02586 | 0.00726562 | 0.00363281 | − | 0.999993i | \(-0.498844\pi\) | ||||
0.00363281 | + | 0.999993i | \(0.498844\pi\) | |||||||
\(968\) | −286.533 | + | 165.430i | −0.296005 | + | 0.170899i | ||||
\(969\) | 562.053 | − | 593.133i | 0.580034 | − | 0.612108i | ||||
\(970\) | 112.401 | − | 194.684i | 0.115877 | − | 0.200705i | ||||
\(971\) | 446.956 | − | 258.050i | 0.460305 | − | 0.265757i | −0.251868 | − | 0.967762i | \(-0.581045\pi\) |
0.712172 | + | 0.702005i | \(0.247711\pi\) | |||||||
\(972\) | −448.335 | + | 187.595i | −0.461250 | + | 0.192999i | ||||
\(973\) | 1272.79 | − | 262.827i | 1.30811 | − | 0.270120i | ||||
\(974\) | − | 741.568i | − | 0.761363i | ||||||
\(975\) | −246.649 | + | 73.2534i | −0.252973 | + | 0.0751317i | ||||
\(976\) | −155.784 | + | 269.825i | −0.159614 | + | 0.276460i | ||||
\(977\) | 705.137 | + | 407.111i | 0.721737 | + | 0.416695i | 0.815392 | − | 0.578910i | \(-0.196522\pi\) |
−0.0936548 | + | 0.995605i | \(0.529855\pi\) | |||||||
\(978\) | 237.774 | + | 800.600i | 0.243123 | + | 0.818609i | ||||
\(979\) | −105.357 | −0.107617 | ||||||||
\(980\) | −86.7998 | − | 201.211i | −0.0885712 | − | 0.205317i | ||||
\(981\) | 1409.07 | + | 715.412i | 1.43637 | + | 0.729268i | ||||
\(982\) | 613.461 | + | 1062.55i | 0.624706 | + | 1.08202i | ||||
\(983\) | −561.007 | − | 323.897i | −0.570709 | − | 0.329499i | 0.186724 | − | 0.982412i | \(-0.440213\pi\) |
−0.757432 | + | 0.652914i | \(0.773546\pi\) | |||||||
\(984\) | 140.857 | + | 133.476i | 0.143148 | + | 0.135647i | ||||
\(985\) | −354.564 | − | 614.122i | −0.359963 | − | 0.623474i | ||||
\(986\) | 276.507i | 0.280433i | ||||||||
\(987\) | 486.932 | + | 15.2300i | 0.493345 | + | 0.0154306i | ||||
\(988\) | 492.853 | 0.498839 | ||||||||
\(989\) | −1650.41 | + | 952.866i | −1.66877 | + | 0.963464i | ||||
\(990\) | −31.1609 | − | 47.8331i | −0.0314757 | − | 0.0483162i | ||||
\(991\) | −669.976 | + | 1160.43i | −0.676060 | + | 1.17097i | 0.300097 | + | 0.953909i | \(0.402981\pi\) |
−0.976158 | + | 0.217062i | \(0.930352\pi\) | |||||||
\(992\) | 235.241 | − | 135.817i | 0.237138 | − | 0.136912i | ||||
\(993\) | 93.5943 | − | 391.085i | 0.0942541 | − | 0.393842i | ||||
\(994\) | −333.317 | − | 374.536i | −0.335329 | − | 0.376797i | ||||
\(995\) | 639.010i | 0.642221i | ||||||||
\(996\) | 224.376 | + | 755.487i | 0.225277 | + | 0.758522i | ||||
\(997\) | 880.356 | − | 1524.82i | 0.883005 | − | 1.52941i | 0.0350221 | − | 0.999387i | \(-0.488850\pi\) |
0.847983 | − | 0.530023i | \(-0.177817\pi\) | |||||||
\(998\) | −697.208 | − | 402.533i | −0.698605 | − | 0.403340i | ||||
\(999\) | 1165.86 | + | 213.483i | 1.16703 | + | 0.213697i |
(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 | 210.3.s.a.11.19 | yes | 40 | |
3.2 | odd | 2 | inner | 210.3.s.a.11.2 | ✓ | 40 | |
7.2 | even | 3 | inner | 210.3.s.a.191.2 | yes | 40 | |
21.2 | odd | 6 | inner | 210.3.s.a.191.19 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.s.a.11.2 | ✓ | 40 | 3.2 | odd | 2 | inner | |
210.3.s.a.11.19 | yes | 40 | 1.1 | even | 1 | trivial | |
210.3.s.a.191.2 | yes | 40 | 7.2 | even | 3 | inner | |
210.3.s.a.191.19 | yes | 40 | 21.2 | odd | 6 | inner |