Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(349,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.349");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.d (of order \(2\), degree \(1\), not 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.214798336.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} - 2x^{5} + 9x^{4} - 4x^{3} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 349.3 | ||
Root | \(1.41216 - 0.0762223i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.349 |
Dual form | 600.2.d.g.349.4 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.576222 | − | 1.29150i | −0.407451 | − | 0.913227i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −1.33594 | + | 1.48838i | −0.667968 | + | 0.744190i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.576222 | + | 1.29150i | 0.235242 | + | 0.527252i | ||||
\(7\) | − | 1.97676i | − | 0.747145i | −0.927601 | − | 0.373573i | \(-0.878133\pi\) | ||
0.927601 | − | 0.373573i | \(-0.121867\pi\) | |||||||
\(8\) | 2.69204 | + | 0.867721i | 0.951779 | + | 0.306786i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.43055i | 0.431328i | 0.976468 | + | 0.215664i | \(0.0691915\pi\) | ||||
−0.976468 | + | 0.215664i | \(0.930808\pi\) | |||||||
\(12\) | 1.33594 | − | 1.48838i | 0.385651 | − | 0.429658i | ||||
\(13\) | −0.241319 | −0.0669300 | −0.0334650 | − | 0.999440i | \(-0.510654\pi\) | ||||
−0.0334650 | + | 0.999440i | \(0.510654\pi\) | |||||||
\(14\) | −2.55298 | + | 1.13905i | −0.682313 | + | 0.304425i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.430552 | − | 3.97676i | −0.107638 | − | 0.994190i | ||||
\(17\) | − | 7.38407i | − | 1.79090i | −0.445161 | − | 0.895450i | \(-0.646854\pi\) | ||
0.445161 | − | 0.895450i | \(-0.353146\pi\) | |||||||
\(18\) | −0.576222 | − | 1.29150i | −0.135817 | − | 0.304409i | ||||
\(19\) | 3.04033i | 0.697500i | 0.937216 | + | 0.348750i | \(0.113394\pi\) | ||||
−0.937216 | + | 0.348750i | \(0.886606\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.97676i | 0.431365i | ||||||||
\(22\) | 1.84756 | − | 0.824316i | 0.393900 | − | 0.175745i | ||||
\(23\) | − | 0.874337i | − | 0.182312i | −0.995837 | − | 0.0911560i | \(-0.970944\pi\) | ||
0.995837 | − | 0.0911560i | \(-0.0290562\pi\) | |||||||
\(24\) | −2.69204 | − | 0.867721i | −0.549510 | − | 0.177123i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.139054 | + | 0.311664i | 0.0272707 | + | 0.0611223i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 2.94217 | + | 2.64082i | 0.556018 | + | 0.499069i | ||||
\(29\) | − | 9.07918i | − | 1.68596i | −0.537943 | − | 0.842981i | \(-0.680799\pi\) | ||
0.537943 | − | 0.842981i | \(-0.319201\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.44764 | −1.33764 | −0.668818 | − | 0.743426i | \(-0.733200\pi\) | ||||
−0.668818 | + | 0.743426i | \(0.733200\pi\) | |||||||
\(32\) | −4.88789 | + | 2.84756i | −0.864064 | + | 0.503381i | ||||
\(33\) | − | 1.43055i | − | 0.249027i | ||||||
\(34\) | −9.53652 | + | 4.25487i | −1.63550 | + | 0.729704i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.33594 | + | 1.48838i | −0.222656 | + | 0.248063i | ||||
\(37\) | −8.81463 | −1.44912 | −0.724558 | − | 0.689214i | \(-0.757956\pi\) | ||||
−0.724558 | + | 0.689214i | \(0.757956\pi\) | |||||||
\(38\) | 3.92658 | − | 1.75191i | 0.636976 | − | 0.284197i | ||||
\(39\) | 0.241319 | 0.0386420 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.91319 | −0.298790 | −0.149395 | − | 0.988778i | \(-0.547733\pi\) | ||||
−0.149395 | + | 0.988778i | \(0.547733\pi\) | |||||||
\(42\) | 2.55298 | − | 1.13905i | 0.393934 | − | 0.175760i | ||||
\(43\) | −11.2452 | −1.71487 | −0.857437 | − | 0.514589i | \(-0.827944\pi\) | ||||
−0.857437 | + | 0.514589i | \(0.827944\pi\) | |||||||
\(44\) | −2.12921 | − | 1.91113i | −0.320990 | − | 0.288113i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.12921 | + | 0.503813i | −0.166492 | + | 0.0742831i | ||||
\(47\) | − | 3.34374i | − | 0.487735i | −0.969809 | − | 0.243867i | \(-0.921584\pi\) | ||
0.969809 | − | 0.243867i | \(-0.0784162\pi\) | |||||||
\(48\) | 0.430552 | + | 3.97676i | 0.0621448 | + | 0.573996i | ||||
\(49\) | 3.09242 | 0.441774 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.38407i | 1.03398i | ||||||||
\(52\) | 0.322387 | − | 0.359175i | 0.0447071 | − | 0.0498086i | ||||
\(53\) | 9.20632 | 1.26459 | 0.632293 | − | 0.774729i | \(-0.282114\pi\) | ||||
0.632293 | + | 0.774729i | \(0.282114\pi\) | |||||||
\(54\) | 0.576222 | + | 1.29150i | 0.0784139 | + | 0.175751i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.71528 | − | 5.32151i | 0.229213 | − | 0.711117i | ||||
\(57\) | − | 3.04033i | − | 0.402702i | ||||||
\(58\) | −11.7258 | + | 5.23163i | −1.53967 | + | 0.686946i | ||||
\(59\) | − | 6.43616i | − | 0.837917i | −0.908005 | − | 0.418958i | \(-0.862395\pi\) | ||
0.908005 | − | 0.418958i | \(-0.137605\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 4.57331i | − | 0.585552i | −0.956181 | − | 0.292776i | \(-0.905421\pi\) | ||
0.956181 | − | 0.292776i | \(-0.0945790\pi\) | |||||||
\(62\) | 4.29150 | + | 9.61862i | 0.545021 | + | 1.22157i | ||||
\(63\) | − | 1.97676i | − | 0.249048i | ||||||
\(64\) | 6.49412 | + | 4.67187i | 0.811765 | + | 0.583984i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.84756 | + | 0.824316i | −0.227418 | + | 0.101466i | ||||
\(67\) | −4.86671 | −0.594563 | −0.297282 | − | 0.954790i | \(-0.596080\pi\) | ||||
−0.297282 | + | 0.954790i | \(0.596080\pi\) | |||||||
\(68\) | 10.9903 | + | 9.86465i | 1.33277 | + | 1.19626i | ||||
\(69\) | 0.874337i | 0.105258i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.21808 | −0.975307 | −0.487653 | − | 0.873037i | \(-0.662147\pi\) | ||||
−0.487653 | + | 0.873037i | \(0.662147\pi\) | |||||||
\(72\) | 2.69204 | + | 0.867721i | 0.317260 | + | 0.102262i | ||||
\(73\) | 4.12714i | 0.483045i | 0.970395 | + | 0.241523i | \(0.0776468\pi\) | ||||
−0.970395 | + | 0.241523i | \(0.922353\pi\) | |||||||
\(74\) | 5.07918 | + | 11.3841i | 0.590443 | + | 1.32337i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.52517 | − | 4.06169i | −0.519072 | − | 0.465907i | ||||
\(77\) | 2.82786 | 0.322264 | ||||||||
\(78\) | −0.139054 | − | 0.311664i | −0.0157447 | − | 0.0352890i | ||||
\(79\) | 13.6757 | 1.53864 | 0.769320 | − | 0.638864i | \(-0.220595\pi\) | ||||
0.769320 | + | 0.638864i | \(0.220595\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 1.10242 | + | 2.47088i | 0.121742 | + | 0.272863i | ||||
\(83\) | −12.3320 | −1.35361 | −0.676806 | − | 0.736162i | \(-0.736636\pi\) | ||||
−0.676806 | + | 0.736162i | \(0.736636\pi\) | |||||||
\(84\) | −2.94217 | − | 2.64082i | −0.321017 | − | 0.288138i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 6.47972 | + | 14.5231i | 0.698726 | + | 1.56607i | ||||
\(87\) | 9.07918i | 0.973391i | ||||||||
\(88\) | −1.24132 | + | 3.85110i | −0.132325 | + | 0.410528i | ||||
\(89\) | 8.08066 | 0.856548 | 0.428274 | − | 0.903649i | \(-0.359122\pi\) | ||||
0.428274 | + | 0.903649i | \(0.359122\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.477031i | 0.0500064i | ||||||||
\(92\) | 1.30135 | + | 1.16806i | 0.135675 | + | 0.121779i | ||||
\(93\) | 7.44764 | 0.772285 | ||||||||
\(94\) | −4.31844 | + | 1.92674i | −0.445413 | + | 0.198728i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 4.88789 | − | 2.84756i | 0.498868 | − | 0.290627i | ||||
\(97\) | 10.6757i | 1.08396i | 0.840393 | + | 0.541978i | \(0.182324\pi\) | ||||
−0.840393 | + | 0.541978i | \(0.817676\pi\) | |||||||
\(98\) | −1.78192 | − | 3.99385i | −0.180001 | − | 0.403440i | ||||
\(99\) | 1.43055i | 0.143776i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 13.2063i | − | 1.31408i | −0.753856 | − | 0.657039i | \(-0.771809\pi\) | ||
0.753856 | − | 0.657039i | \(-0.228191\pi\) | |||||||
\(102\) | 9.53652 | − | 4.25487i | 0.944256 | − | 0.421295i | ||||
\(103\) | − | 19.4244i | − | 1.91394i | −0.290181 | − | 0.956972i | \(-0.593716\pi\) | ||
0.290181 | − | 0.956972i | \(-0.406284\pi\) | |||||||
\(104\) | −0.649641 | − | 0.209398i | −0.0637025 | − | 0.0205331i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.30489 | − | 11.8900i | −0.515256 | − | 1.15485i | ||||
\(107\) | 14.8085 | 1.43159 | 0.715795 | − | 0.698311i | \(-0.246065\pi\) | ||||
0.715795 | + | 0.698311i | \(0.246065\pi\) | |||||||
\(108\) | 1.33594 | − | 1.48838i | 0.128550 | − | 0.143219i | ||||
\(109\) | − | 15.2296i | − | 1.45873i | −0.684126 | − | 0.729364i | \(-0.739816\pi\) | ||
0.684126 | − | 0.729364i | \(-0.260184\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.81463 | 0.836647 | ||||||||
\(112\) | −7.86110 | + | 0.851098i | −0.742804 | + | 0.0804212i | ||||
\(113\) | 1.13890i | 0.107138i | 0.998564 | + | 0.0535692i | \(0.0170598\pi\) | ||||
−0.998564 | + | 0.0535692i | \(0.982940\pi\) | |||||||
\(114\) | −3.92658 | + | 1.75191i | −0.367758 | + | 0.164081i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 13.5133 | + | 12.1292i | 1.25468 | + | 1.12617i | ||||
\(117\) | −0.241319 | −0.0223100 | ||||||||
\(118\) | −8.31229 | + | 3.70866i | −0.765208 | + | 0.341410i | ||||
\(119\) | −14.5965 | −1.33806 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.95352 | 0.813956 | ||||||||
\(122\) | −5.90642 | + | 2.63524i | −0.534742 | + | 0.238583i | ||||
\(123\) | 1.91319 | 0.172507 | ||||||||
\(124\) | 9.94957 | − | 11.0849i | 0.893498 | − | 0.995456i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −2.55298 | + | 1.13905i | −0.227438 | + | 0.101475i | ||||
\(127\) | 2.43616i | 0.216174i | 0.994141 | + | 0.108087i | \(0.0344725\pi\) | ||||
−0.994141 | + | 0.108087i | \(0.965527\pi\) | |||||||
\(128\) | 2.29166 | − | 11.0792i | 0.202556 | − | 0.979271i | ||||
\(129\) | 11.2452 | 0.990083 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.90143i | 0.602981i | 0.953469 | + | 0.301491i | \(0.0974842\pi\) | ||||
−0.953469 | + | 0.301491i | \(0.902516\pi\) | |||||||
\(132\) | 2.12921 | + | 1.91113i | 0.185324 | + | 0.166342i | ||||
\(133\) | 6.01001 | 0.521134 | ||||||||
\(134\) | 2.80431 | + | 6.28535i | 0.242255 | + | 0.542972i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.40731 | − | 19.8782i | 0.549423 | − | 1.70454i | ||||
\(137\) | − | 5.39022i | − | 0.460518i | −0.973129 | − | 0.230259i | \(-0.926043\pi\) | ||
0.973129 | − | 0.230259i | \(-0.0739573\pi\) | |||||||
\(138\) | 1.12921 | − | 0.503813i | 0.0961243 | − | 0.0428874i | ||||
\(139\) | 17.4244i | 1.47792i | 0.673750 | + | 0.738959i | \(0.264682\pi\) | ||||
−0.673750 | + | 0.738959i | \(0.735318\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.34374i | 0.281594i | ||||||||
\(142\) | 4.73544 | + | 10.6136i | 0.397389 | + | 0.890677i | ||||
\(143\) | − | 0.345220i | − | 0.0288687i | ||||||
\(144\) | −0.430552 | − | 3.97676i | −0.0358793 | − | 0.331397i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 5.33019 | − | 2.37815i | 0.441130 | − | 0.196817i | ||||
\(147\) | −3.09242 | −0.255058 | ||||||||
\(148\) | 11.7758 | − | 13.1195i | 0.967962 | − | 1.07842i | ||||
\(149\) | − | 2.28551i | − | 0.187236i | −0.995608 | − | 0.0936180i | \(-0.970157\pi\) | ||
0.995608 | − | 0.0936180i | \(-0.0298432\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.66425 | 0.542329 | 0.271164 | − | 0.962533i | \(-0.412591\pi\) | ||||
0.271164 | + | 0.962533i | \(0.412591\pi\) | |||||||
\(152\) | −2.63816 | + | 8.18468i | −0.213983 | + | 0.663865i | ||||
\(153\) | − | 7.38407i | − | 0.596967i | ||||||
\(154\) | −1.62948 | − | 3.65217i | −0.131307 | − | 0.294301i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.322387 | + | 0.359175i | −0.0258116 | + | 0.0287570i | ||||
\(157\) | −17.4144 | −1.38982 | −0.694910 | − | 0.719097i | \(-0.744556\pi\) | ||||
−0.694910 | + | 0.719097i | \(0.744556\pi\) | |||||||
\(158\) | −7.88026 | − | 17.6622i | −0.626920 | − | 1.40513i | ||||
\(159\) | −9.20632 | −0.730109 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.72836 | −0.136214 | ||||||||
\(162\) | −0.576222 | − | 1.29150i | −0.0452723 | − | 0.101470i | ||||
\(163\) | 4.66187 | 0.365145 | 0.182573 | − | 0.983192i | \(-0.441557\pi\) | ||||
0.182573 | + | 0.983192i | \(0.441557\pi\) | |||||||
\(164\) | 2.55590 | − | 2.84756i | 0.199582 | − | 0.222357i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.10597 | + | 15.9267i | 0.551530 | + | 1.23615i | ||||
\(167\) | − | 0.137419i | − | 0.0106338i | −0.999986 | − | 0.00531690i | \(-0.998308\pi\) | ||
0.999986 | − | 0.00531690i | \(-0.00169243\pi\) | |||||||
\(168\) | −1.71528 | + | 5.32151i | −0.132336 | + | 0.410564i | ||||
\(169\) | −12.9418 | −0.995520 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.04033i | 0.232500i | ||||||||
\(172\) | 15.0228 | − | 16.7371i | 1.14548 | − | 1.27619i | ||||
\(173\) | −3.96675 | −0.301587 | −0.150793 | − | 0.988565i | \(-0.548183\pi\) | ||||
−0.150793 | + | 0.988565i | \(0.548183\pi\) | |||||||
\(174\) | 11.7258 | − | 5.23163i | 0.888927 | − | 0.396609i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.68896 | − | 0.615927i | 0.428822 | − | 0.0464272i | ||||
\(177\) | 6.43616i | 0.483771i | ||||||||
\(178\) | −4.65626 | − | 10.4362i | −0.349001 | − | 0.782223i | ||||
\(179\) | 4.68749i | 0.350359i | 0.984537 | + | 0.175180i | \(0.0560506\pi\) | ||||
−0.984537 | + | 0.175180i | \(0.943949\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 9.10242i | − | 0.676578i | −0.941042 | − | 0.338289i | \(-0.890152\pi\) | ||
0.941042 | − | 0.338289i | \(-0.109848\pi\) | |||||||
\(182\) | 0.616084 | − | 0.274876i | 0.0456672 | − | 0.0203751i | ||||
\(183\) | 4.57331i | 0.338068i | ||||||||
\(184\) | 0.758681 | − | 2.35375i | 0.0559307 | − | 0.173521i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −4.29150 | − | 9.61862i | −0.314668 | − | 0.705271i | ||||
\(187\) | 10.5633 | 0.772465 | ||||||||
\(188\) | 4.97676 | + | 4.46702i | 0.362968 | + | 0.325791i | ||||
\(189\) | 1.97676i | 0.143788i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 15.2063 | 1.10029 | 0.550145 | − | 0.835069i | \(-0.314572\pi\) | ||||
0.550145 | + | 0.835069i | \(0.314572\pi\) | |||||||
\(192\) | −6.49412 | − | 4.67187i | −0.468673 | − | 0.337163i | ||||
\(193\) | 20.7564i | 1.49408i | 0.664780 | + | 0.747039i | \(0.268525\pi\) | ||||
−0.664780 | + | 0.747039i | \(0.731475\pi\) | |||||||
\(194\) | 13.7877 | − | 6.15159i | 0.989898 | − | 0.441659i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.13127 | + | 4.60269i | −0.295091 | + | 0.328764i | ||||
\(197\) | 23.2508 | 1.65655 | 0.828275 | − | 0.560322i | \(-0.189323\pi\) | ||||
0.828275 | + | 0.560322i | \(0.189323\pi\) | |||||||
\(198\) | 1.84756 | − | 0.824316i | 0.131300 | − | 0.0585816i | ||||
\(199\) | 7.21633 | 0.511552 | 0.255776 | − | 0.966736i | \(-0.417669\pi\) | ||||
0.255776 | + | 0.966736i | \(0.417669\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.86671 | 0.343271 | ||||||||
\(202\) | −17.0559 | + | 7.60978i | −1.20005 | + | 0.535422i | ||||
\(203\) | −17.9474 | −1.25966 | ||||||||
\(204\) | −10.9903 | − | 9.86465i | −0.769476 | − | 0.690663i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −25.0866 | + | 11.1928i | −1.74787 | + | 0.779838i | ||||
\(207\) | − | 0.874337i | − | 0.0607707i | ||||||
\(208\) | 0.103901 | + | 0.959669i | 0.00720420 | + | 0.0665411i | ||||
\(209\) | −4.34935 | −0.300851 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.38407i | 0.301812i | 0.988548 | + | 0.150906i | \(0.0482191\pi\) | ||||
−0.988548 | + | 0.150906i | \(0.951781\pi\) | |||||||
\(212\) | −12.2991 | + | 13.7025i | −0.844703 | + | 0.941092i | ||||
\(213\) | 8.21808 | 0.563094 | ||||||||
\(214\) | −8.53298 | − | 19.1251i | −0.583302 | − | 1.30737i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.69204 | − | 0.867721i | −0.183170 | − | 0.0590409i | ||||
\(217\) | 14.7222i | 0.999409i | ||||||||
\(218\) | −19.6690 | + | 8.77561i | −1.33215 | + | 0.594360i | ||||
\(219\) | − | 4.12714i | − | 0.278886i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.78192i | 0.119865i | ||||||||
\(222\) | −5.07918 | − | 11.3841i | −0.340892 | − | 0.764049i | ||||
\(223\) | 4.98852i | 0.334056i | 0.985952 | + | 0.167028i | \(0.0534170\pi\) | ||||
−0.985952 | + | 0.167028i | \(0.946583\pi\) | |||||||
\(224\) | 5.62894 | + | 9.66218i | 0.376099 | + | 0.645582i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.47088 | − | 0.656257i | 0.0978416 | − | 0.0436536i | ||||
\(227\) | 11.2569 | 0.747149 | 0.373574 | − | 0.927600i | \(-0.378132\pi\) | ||||
0.373574 | + | 0.927600i | \(0.378132\pi\) | |||||||
\(228\) | 4.52517 | + | 4.06169i | 0.299687 | + | 0.268992i | ||||
\(229\) | 15.8364i | 1.04650i | 0.852180 | + | 0.523249i | \(0.175280\pi\) | ||||
−0.852180 | + | 0.523249i | \(0.824720\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.82786 | −0.186059 | ||||||||
\(232\) | 7.87820 | − | 24.4415i | 0.517229 | − | 1.60466i | ||||
\(233\) | 10.9591i | 0.717956i | 0.933346 | + | 0.358978i | \(0.116875\pi\) | ||||
−0.933346 | + | 0.358978i | \(0.883125\pi\) | |||||||
\(234\) | 0.139054 | + | 0.311664i | 0.00909022 | + | 0.0203741i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 9.57945 | + | 8.59830i | 0.623569 | + | 0.559701i | ||||
\(237\) | −13.6757 | −0.888334 | ||||||||
\(238\) | 8.41086 | + | 18.8514i | 0.545195 | + | 1.22196i | ||||
\(239\) | −17.3182 | −1.12022 | −0.560111 | − | 0.828418i | \(-0.689242\pi\) | ||||
−0.560111 | + | 0.828418i | \(0.689242\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.76869 | 0.307178 | 0.153589 | − | 0.988135i | \(-0.450917\pi\) | ||||
0.153589 | + | 0.988135i | \(0.450917\pi\) | |||||||
\(242\) | −5.15922 | − | 11.5635i | −0.331647 | − | 0.743327i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 6.80682 | + | 6.10964i | 0.435762 | + | 0.391130i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.10242 | − | 2.47088i | −0.0702879 | − | 0.157538i | ||||
\(247\) | − | 0.733691i | − | 0.0466836i | ||||||
\(248\) | −20.0493 | − | 6.46247i | −1.27313 | − | 0.410367i | ||||
\(249\) | 12.3320 | 0.781508 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 6.15837i | − | 0.388713i | −0.980931 | − | 0.194356i | \(-0.937738\pi\) | ||
0.980931 | − | 0.194356i | \(-0.0622618\pi\) | |||||||
\(252\) | 2.94217 | + | 2.64082i | 0.185339 | + | 0.166356i | ||||
\(253\) | 1.25079 | 0.0786362 | ||||||||
\(254\) | 3.14630 | − | 1.40377i | 0.197416 | − | 0.0880804i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.6293 | + | 3.42440i | −0.976828 | + | 0.214025i | ||||
\(257\) | − | 14.1584i | − | 0.883175i | −0.897218 | − | 0.441587i | \(-0.854416\pi\) | ||
0.897218 | − | 0.441587i | \(-0.145584\pi\) | |||||||
\(258\) | −6.47972 | − | 14.5231i | −0.403410 | − | 0.904170i | ||||
\(259\) | 17.4244i | 1.08270i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | − | 9.07918i | − | 0.561987i | ||||||
\(262\) | 8.91319 | − | 3.97676i | 0.550659 | − | 0.245685i | ||||
\(263\) | 15.5960i | 0.961691i | 0.876805 | + | 0.480845i | \(0.159670\pi\) | ||||
−0.876805 | + | 0.480845i | \(0.840330\pi\) | |||||||
\(264\) | 1.24132 | − | 3.85110i | 0.0763979 | − | 0.237019i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.46310 | − | 7.76191i | −0.212336 | − | 0.475913i | ||||
\(267\) | −8.08066 | −0.494528 | ||||||||
\(268\) | 6.50161 | − | 7.24352i | 0.397149 | − | 0.442468i | ||||
\(269\) | 11.3182i | 0.690084i | 0.938587 | + | 0.345042i | \(0.112135\pi\) | ||||
−0.938587 | + | 0.345042i | \(0.887865\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.20485 | −0.376918 | −0.188459 | − | 0.982081i | \(-0.560349\pi\) | ||||
−0.188459 | + | 0.982081i | \(0.560349\pi\) | |||||||
\(272\) | −29.3647 | + | 3.17923i | −1.78050 | + | 0.192769i | ||||
\(273\) | − | 0.477031i | − | 0.0288712i | ||||||
\(274\) | −6.96146 | + | 3.10597i | −0.420557 | + | 0.187638i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −1.30135 | − | 1.16806i | −0.0783319 | − | 0.0703089i | ||||
\(277\) | 18.9288 | 1.13732 | 0.568661 | − | 0.822572i | \(-0.307462\pi\) | ||||
0.568661 | + | 0.822572i | \(0.307462\pi\) | |||||||
\(278\) | 22.5036 | − | 10.0403i | 1.34968 | − | 0.602179i | ||||
\(279\) | −7.44764 | −0.445879 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −21.6231 | −1.28993 | −0.644963 | − | 0.764214i | \(-0.723127\pi\) | ||||
−0.644963 | + | 0.764214i | \(0.723127\pi\) | |||||||
\(282\) | 4.31844 | − | 1.92674i | 0.257159 | − | 0.114736i | ||||
\(283\) | 29.1522 | 1.73292 | 0.866460 | − | 0.499247i | \(-0.166390\pi\) | ||||
0.866460 | + | 0.499247i | \(0.166390\pi\) | |||||||
\(284\) | 10.9788 | − | 12.2316i | 0.651473 | − | 0.725814i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.445851 | + | 0.198923i | −0.0263637 | + | 0.0117626i | ||||
\(287\) | 3.78192i | 0.223240i | ||||||||
\(288\) | −4.88789 | + | 2.84756i | −0.288021 | + | 0.167794i | ||||
\(289\) | −37.5245 | −2.20733 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 10.6757i | − | 0.625822i | ||||||
\(292\) | −6.14275 | − | 5.51359i | −0.359477 | − | 0.322659i | ||||
\(293\) | 2.32427 | 0.135785 | 0.0678927 | − | 0.997693i | \(-0.478372\pi\) | ||||
0.0678927 | + | 0.997693i | \(0.478372\pi\) | |||||||
\(294\) | 1.78192 | + | 3.99385i | 0.103924 | + | 0.232926i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −23.7293 | − | 7.64863i | −1.37924 | − | 0.444568i | ||||
\(297\) | − | 1.43055i | − | 0.0830090i | ||||||
\(298\) | −2.95173 | + | 1.31696i | −0.170989 | + | 0.0762895i | ||||
\(299\) | 0.210995i | 0.0122021i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 22.2290i | 1.28126i | ||||||||
\(302\) | −3.84009 | − | 8.60686i | −0.220972 | − | 0.495269i | ||||
\(303\) | 13.2063i | 0.758683i | ||||||||
\(304\) | 12.0907 | − | 1.30902i | 0.693447 | − | 0.0750775i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −9.53652 | + | 4.25487i | −0.545166 | + | 0.243235i | ||||
\(307\) | 3.52297 | 0.201066 | 0.100533 | − | 0.994934i | \(-0.467945\pi\) | ||||
0.100533 | + | 0.994934i | \(0.467945\pi\) | |||||||
\(308\) | −3.77784 | + | 4.20893i | −0.215262 | + | 0.239826i | ||||
\(309\) | 19.4244i | 1.10502i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −21.6757 | −1.22912 | −0.614559 | − | 0.788871i | \(-0.710666\pi\) | ||||
−0.614559 | + | 0.788871i | \(0.710666\pi\) | |||||||
\(312\) | 0.649641 | + | 0.209398i | 0.0367787 | + | 0.0118548i | ||||
\(313\) | 12.5486i | 0.709288i | 0.935001 | + | 0.354644i | \(0.115398\pi\) | ||||
−0.935001 | + | 0.354644i | \(0.884602\pi\) | |||||||
\(314\) | 10.0346 | + | 22.4907i | 0.566283 | + | 1.26922i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −18.2699 | + | 20.3547i | −1.02776 | + | 1.14504i | ||||
\(317\) | −10.8611 | −0.610020 | −0.305010 | − | 0.952349i | \(-0.598660\pi\) | ||||
−0.305010 | + | 0.952349i | \(0.598660\pi\) | |||||||
\(318\) | 5.30489 | + | 11.8900i | 0.297483 | + | 0.666755i | ||||
\(319\) | 12.9882 | 0.727202 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −14.8085 | −0.826529 | ||||||||
\(322\) | 0.995917 | + | 2.23217i | 0.0555003 | + | 0.124394i | ||||
\(323\) | 22.4500 | 1.24915 | ||||||||
\(324\) | −1.33594 | + | 1.48838i | −0.0742186 | + | 0.0826878i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2.68627 | − | 6.02079i | −0.148779 | − | 0.333461i | ||||
\(327\) | 15.2296i | 0.842197i | ||||||||
\(328\) | −5.15038 | − | 1.66011i | −0.284382 | − | 0.0916645i | ||||
\(329\) | −6.60978 | −0.364409 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 1.23185i | − | 0.0677088i | −0.999427 | − | 0.0338544i | \(-0.989222\pi\) | ||
0.999427 | − | 0.0338544i | \(-0.0107783\pi\) | |||||||
\(332\) | 16.4747 | − | 18.3547i | 0.904169 | − | 1.00734i | ||||
\(333\) | −8.81463 | −0.483038 | ||||||||
\(334\) | −0.177476 | + | 0.0791838i | −0.00971107 | + | 0.00433275i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 7.86110 | − | 0.851098i | 0.428858 | − | 0.0464312i | ||||
\(337\) | 4.13890i | 0.225460i | 0.993626 | + | 0.112730i | \(0.0359595\pi\) | ||||
−0.993626 | + | 0.112730i | \(0.964040\pi\) | |||||||
\(338\) | 7.45733 | + | 16.7143i | 0.405625 | + | 0.909136i | ||||
\(339\) | − | 1.13890i | − | 0.0618564i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 10.6542i | − | 0.576959i | ||||||
\(342\) | 3.92658 | − | 1.75191i | 0.212325 | − | 0.0947322i | ||||
\(343\) | − | 19.9503i | − | 1.07721i | ||||||
\(344\) | −30.2724 | − | 9.75767i | −1.63218 | − | 0.526098i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.28573 | + | 5.12306i | 0.122882 | + | 0.275417i | ||||
\(347\) | −17.4586 | −0.937226 | −0.468613 | − | 0.883404i | \(-0.655246\pi\) | ||||
−0.468613 | + | 0.883404i | \(0.655246\pi\) | |||||||
\(348\) | −13.5133 | − | 12.1292i | −0.724388 | − | 0.650194i | ||||
\(349\) | − | 21.2196i | − | 1.13586i | −0.823078 | − | 0.567928i | \(-0.807745\pi\) | ||
0.823078 | − | 0.567928i | \(-0.192255\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.241319 | 0.0128807 | ||||||||
\(352\) | −4.07358 | − | 6.99237i | −0.217122 | − | 0.372695i | ||||
\(353\) | − | 21.0398i | − | 1.11984i | −0.828548 | − | 0.559918i | \(-0.810833\pi\) | ||
0.828548 | − | 0.559918i | \(-0.189167\pi\) | |||||||
\(354\) | 8.31229 | − | 3.70866i | 0.441793 | − | 0.197113i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −10.7952 | + | 12.0271i | −0.572147 | + | 0.637435i | ||||
\(357\) | 14.5965 | 0.772531 | ||||||||
\(358\) | 6.05388 | − | 2.70103i | 0.319957 | − | 0.142754i | ||||
\(359\) | −23.5153 | −1.24109 | −0.620546 | − | 0.784170i | \(-0.713089\pi\) | ||||
−0.620546 | + | 0.784170i | \(0.713089\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.75639 | 0.513494 | ||||||||
\(362\) | −11.7558 | + | 5.24502i | −0.617869 | + | 0.275672i | ||||
\(363\) | −8.95352 | −0.469938 | ||||||||
\(364\) | −0.710003 | − | 0.637282i | −0.0372143 | − | 0.0334027i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 5.90642 | − | 2.63524i | 0.308733 | − | 0.137746i | ||||
\(367\) | − | 25.4012i | − | 1.32593i | −0.748650 | − | 0.662965i | \(-0.769298\pi\) | ||
0.748650 | − | 0.662965i | \(-0.230702\pi\) | |||||||
\(368\) | −3.47703 | + | 0.376448i | −0.181253 | + | 0.0196237i | ||||
\(369\) | −1.91319 | −0.0995967 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 18.1987i | − | 0.944829i | ||||||
\(372\) | −9.94957 | + | 11.0849i | −0.515861 | + | 0.574727i | ||||
\(373\) | 10.0677 | 0.521286 | 0.260643 | − | 0.965435i | \(-0.416065\pi\) | ||||
0.260643 | + | 0.965435i | \(0.416065\pi\) | |||||||
\(374\) | −6.08681 | − | 13.6425i | −0.314741 | − | 0.705436i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.90143 | − | 9.00148i | 0.149630 | − | 0.464216i | ||||
\(377\) | 2.19098i | 0.112841i | ||||||||
\(378\) | 2.55298 | − | 1.13905i | 0.131311 | − | 0.0585866i | ||||
\(379\) | − | 18.9674i | − | 0.974289i | −0.873321 | − | 0.487145i | \(-0.838038\pi\) | ||
0.873321 | − | 0.487145i | \(-0.161962\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 2.43616i | − | 0.124808i | ||||||
\(382\) | −8.76222 | − | 19.6389i | −0.448314 | − | 1.00482i | ||||
\(383\) | 28.7446i | 1.46878i | 0.678727 | + | 0.734391i | \(0.262532\pi\) | ||||
−0.678727 | + | 0.734391i | \(0.737468\pi\) | |||||||
\(384\) | −2.29166 | + | 11.0792i | −0.116946 | + | 0.565382i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 26.8068 | − | 11.9603i | 1.36443 | − | 0.608763i | ||||
\(387\) | −11.2452 | −0.571624 | ||||||||
\(388\) | −15.8895 | − | 14.2621i | −0.806669 | − | 0.724048i | ||||
\(389\) | 29.8161i | 1.51174i | 0.654724 | + | 0.755868i | \(0.272785\pi\) | ||||
−0.654724 | + | 0.755868i | \(0.727215\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.45617 | −0.326503 | ||||||||
\(392\) | 8.32490 | + | 2.68335i | 0.420471 | + | 0.135530i | ||||
\(393\) | − | 6.90143i | − | 0.348131i | ||||||
\(394\) | −13.3976 | − | 30.0283i | −0.674962 | − | 1.51281i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −2.12921 | − | 1.91113i | −0.106997 | − | 0.0960377i | ||||
\(397\) | 2.73167 | 0.137099 | 0.0685494 | − | 0.997648i | \(-0.478163\pi\) | ||||
0.0685494 | + | 0.997648i | \(0.478163\pi\) | |||||||
\(398\) | −4.15821 | − | 9.31988i | −0.208432 | − | 0.467163i | ||||
\(399\) | −6.01001 | −0.300877 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 25.8744 | 1.29211 | 0.646054 | − | 0.763292i | \(-0.276418\pi\) | ||||
0.646054 | + | 0.763292i | \(0.276418\pi\) | |||||||
\(402\) | −2.80431 | − | 6.28535i | −0.139866 | − | 0.313485i | ||||
\(403\) | 1.79726 | 0.0895279 | ||||||||
\(404\) | 19.6560 | + | 17.6428i | 0.977924 | + | 0.877762i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.3417 | + | 23.1790i | 0.513249 | + | 1.15035i | ||||
\(407\) | − | 12.6098i | − | 0.625044i | ||||||
\(408\) | −6.40731 | + | 19.8782i | −0.317209 | + | 0.984117i | ||||
\(409\) | −22.4786 | −1.11150 | −0.555748 | − | 0.831351i | \(-0.687568\pi\) | ||||
−0.555748 | + | 0.831351i | \(0.687568\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.39022i | 0.265880i | ||||||||
\(412\) | 28.9109 | + | 25.9498i | 1.42434 | + | 1.27845i | ||||
\(413\) | −12.7227 | −0.626045 | ||||||||
\(414\) | −1.12921 | + | 0.503813i | −0.0554974 | + | 0.0247610i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.17954 | − | 0.687170i | 0.0578318 | − | 0.0336913i | ||||
\(417\) | − | 17.4244i | − | 0.853277i | ||||||
\(418\) | 2.50619 | + | 5.61718i | 0.122582 | + | 0.274745i | ||||
\(419\) | − | 24.5307i | − | 1.19840i | −0.800598 | − | 0.599201i | \(-0.795485\pi\) | ||
0.800598 | − | 0.599201i | \(-0.204515\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 33.3856i | 1.62712i | 0.581483 | + | 0.813558i | \(0.302473\pi\) | ||||
−0.581483 | + | 0.813558i | \(0.697527\pi\) | |||||||
\(422\) | 5.66202 | − | 2.52620i | 0.275623 | − | 0.122974i | ||||
\(423\) | − | 3.34374i | − | 0.162578i | ||||||
\(424\) | 24.7838 | + | 7.98852i | 1.20361 | + | 0.387957i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −4.73544 | − | 10.6136i | −0.229433 | − | 0.514232i | ||||
\(427\) | −9.04033 | −0.437492 | ||||||||
\(428\) | −19.7832 | + | 22.0406i | −0.956256 | + | 1.06537i | ||||
\(429\) | 0.345220i | 0.0166674i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.6548 | 0.561391 | 0.280696 | − | 0.959797i | \(-0.409435\pi\) | ||||
0.280696 | + | 0.959797i | \(0.409435\pi\) | |||||||
\(432\) | 0.430552 | + | 3.97676i | 0.0207149 | + | 0.191332i | ||||
\(433\) | − | 19.7681i | − | 0.949996i | −0.879987 | − | 0.474998i | \(-0.842449\pi\) | ||
0.879987 | − | 0.474998i | \(-0.157551\pi\) | |||||||
\(434\) | 19.0137 | − | 8.48326i | 0.912687 | − | 0.407210i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 22.6674 | + | 20.3457i | 1.08557 | + | 0.974383i | ||||
\(437\) | 2.65827 | 0.127163 | ||||||||
\(438\) | −5.33019 | + | 2.37815i | −0.254687 | + | 0.113632i | ||||
\(439\) | 25.1699 | 1.20129 | 0.600646 | − | 0.799515i | \(-0.294910\pi\) | ||||
0.600646 | + | 0.799515i | \(0.294910\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.09242 | 0.147258 | ||||||||
\(442\) | 2.30135 | − | 1.02678i | 0.109464 | − | 0.0488390i | ||||
\(443\) | 19.5515 | 0.928922 | 0.464461 | − | 0.885594i | \(-0.346248\pi\) | ||||
0.464461 | + | 0.885594i | \(0.346248\pi\) | |||||||
\(444\) | −11.7758 | + | 13.1195i | −0.558853 | + | 0.622625i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 6.44266 | − | 2.87449i | 0.305069 | − | 0.136111i | ||||
\(447\) | 2.28551i | 0.108101i | ||||||||
\(448\) | 9.23517 | − | 12.8373i | 0.436321 | − | 0.606507i | ||||
\(449\) | 19.9612 | 0.942029 | 0.471014 | − | 0.882125i | \(-0.343888\pi\) | ||||
0.471014 | + | 0.882125i | \(0.343888\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 2.73692i | − | 0.128876i | ||||||
\(452\) | −1.69511 | − | 1.52149i | −0.0797313 | − | 0.0715650i | ||||
\(453\) | −6.66425 | −0.313114 | ||||||||
\(454\) | −6.48650 | − | 14.5383i | −0.304426 | − | 0.682317i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.63816 | − | 8.18468i | 0.123543 | − | 0.383283i | ||||
\(457\) | − | 5.01176i | − | 0.234440i | −0.993106 | − | 0.117220i | \(-0.962602\pi\) | ||
0.993106 | − | 0.117220i | \(-0.0373983\pi\) | |||||||
\(458\) | 20.4527 | − | 9.12528i | 0.955690 | − | 0.426396i | ||||
\(459\) | 7.38407i | 0.344659i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.12566i | 0.238726i | 0.992851 | + | 0.119363i | \(0.0380852\pi\) | ||||
−0.992851 | + | 0.119363i | \(0.961915\pi\) | |||||||
\(462\) | 1.62948 | + | 3.65217i | 0.0758101 | + | 0.169915i | ||||
\(463\) | 5.79515i | 0.269324i | 0.990892 | + | 0.134662i | \(0.0429948\pi\) | ||||
−0.990892 | + | 0.134662i | \(0.957005\pi\) | |||||||
\(464\) | −36.1057 | + | 3.90906i | −1.67617 | + | 0.181474i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 14.1537 | − | 6.31490i | 0.655657 | − | 0.292532i | ||||
\(467\) | −16.8208 | −0.778373 | −0.389186 | − | 0.921159i | \(-0.627244\pi\) | ||||
−0.389186 | + | 0.921159i | \(0.627244\pi\) | |||||||
\(468\) | 0.322387 | − | 0.359175i | 0.0149024 | − | 0.0166029i | ||||
\(469\) | 9.62032i | 0.444225i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 17.4144 | 0.802413 | ||||||||
\(472\) | 5.58479 | − | 17.3264i | 0.257061 | − | 0.797511i | ||||
\(473\) | − | 16.0868i | − | 0.739672i | ||||||
\(474\) | 7.88026 | + | 17.6622i | 0.361952 | + | 0.811251i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 19.5000 | − | 21.7252i | 0.893783 | − | 0.995773i | ||||
\(477\) | 9.20632 | 0.421529 | ||||||||
\(478\) | 9.97914 | + | 22.3664i | 0.456435 | + | 1.02302i | ||||
\(479\) | 36.9065 | 1.68630 | 0.843151 | − | 0.537678i | \(-0.180698\pi\) | ||||
0.843151 | + | 0.537678i | \(0.180698\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.12714 | 0.0969892 | ||||||||
\(482\) | −2.74782 | − | 6.15875i | −0.125160 | − | 0.280523i | ||||
\(483\) | 1.72836 | 0.0786429 | ||||||||
\(484\) | −11.9613 | + | 13.3262i | −0.543697 | + | 0.605738i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.576222 | + | 1.29150i | 0.0261380 | + | 0.0585836i | ||||
\(487\) | − | 5.14984i | − | 0.233361i | −0.993169 | − | 0.116681i | \(-0.962775\pi\) | ||
0.993169 | − | 0.116681i | \(-0.0372254\pi\) | |||||||
\(488\) | 3.96835 | − | 12.3115i | 0.179639 | − | 0.557316i | ||||
\(489\) | −4.66187 | −0.210817 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 23.1154i | − | 1.04318i | −0.853195 | − | 0.521591i | \(-0.825339\pi\) | ||
0.853195 | − | 0.521591i | \(-0.174661\pi\) | |||||||
\(492\) | −2.55590 | + | 2.84756i | −0.115229 | + | 0.128378i | ||||
\(493\) | −67.0414 | −3.01939 | ||||||||
\(494\) | −0.947560 | + | 0.422769i | −0.0426328 | + | 0.0190213i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.20660 | + | 29.6175i | 0.143980 | + | 1.32986i | ||||
\(497\) | 16.2452i | 0.728696i | ||||||||
\(498\) | −7.10597 | − | 15.9267i | −0.318426 | − | 0.713694i | ||||
\(499\) | − | 14.3111i | − | 0.640654i | −0.947307 | − | 0.320327i | \(-0.896207\pi\) | ||
0.947307 | − | 0.320327i | \(-0.103793\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.137419i | 0.00613942i | ||||||||
\(502\) | −7.95352 | + | 3.54859i | −0.354983 | + | 0.158381i | ||||
\(503\) | − | 15.4224i | − | 0.687650i | −0.939034 | − | 0.343825i | \(-0.888277\pi\) | ||
0.939034 | − | 0.343825i | \(-0.111723\pi\) | |||||||
\(504\) | 1.71528 | − | 5.32151i | 0.0764045 | − | 0.237039i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −0.720730 | − | 1.61539i | −0.0320404 | − | 0.0718127i | ||||
\(507\) | 12.9418 | 0.574764 | ||||||||
\(508\) | −3.62593 | − | 3.25455i | −0.160875 | − | 0.144397i | ||||
\(509\) | − | 43.1578i | − | 1.91294i | −0.291835 | − | 0.956469i | \(-0.594266\pi\) | ||
0.291835 | − | 0.956469i | \(-0.405734\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.15837 | 0.360905 | ||||||||
\(512\) | 13.4285 | + | 18.2119i | 0.593463 | + | 0.804861i | ||||
\(513\) | − | 3.04033i | − | 0.134234i | ||||||
\(514\) | −18.2855 | + | 8.15837i | −0.806539 | + | 0.359850i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −15.0228 | + | 16.7371i | −0.661343 | + | 0.736810i | ||||
\(517\) | 4.78340 | 0.210374 | ||||||||
\(518\) | 22.5036 | − | 10.0403i | 0.988751 | − | 0.441147i | ||||
\(519\) | 3.96675 | 0.174121 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −17.8232 | −0.780848 | −0.390424 | − | 0.920635i | \(-0.627672\pi\) | ||||
−0.390424 | + | 0.920635i | \(0.627672\pi\) | |||||||
\(522\) | −11.7258 | + | 5.23163i | −0.513222 | + | 0.228982i | ||||
\(523\) | 24.7502 | 1.08225 | 0.541126 | − | 0.840941i | \(-0.317998\pi\) | ||||
0.541126 | + | 0.840941i | \(0.317998\pi\) | |||||||
\(524\) | −10.2720 | − | 9.21987i | −0.448733 | − | 0.402772i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 20.1422 | − | 8.98677i | 0.878242 | − | 0.391842i | ||||
\(527\) | 54.9939i | 2.39557i | ||||||||
\(528\) | −5.68896 | + | 0.615927i | −0.247580 | + | 0.0268048i | ||||
\(529\) | 22.2355 | 0.966762 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 6.43616i | − | 0.279306i | ||||||
\(532\) | −8.02898 | + | 8.94517i | −0.348100 | + | 0.387822i | ||||
\(533\) | 0.461690 | 0.0199980 | ||||||||
\(534\) | 4.65626 | + | 10.4362i | 0.201496 | + | 0.451617i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −13.1014 | − | 4.22295i | −0.565893 | − | 0.182403i | ||||
\(537\) | − | 4.68749i | − | 0.202280i | ||||||
\(538\) | 14.6175 | − | 6.52181i | 0.630203 | − | 0.281175i | ||||
\(539\) | 4.42386i | 0.190549i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.9982i | 0.730812i | 0.930848 | + | 0.365406i | \(0.119070\pi\) | ||||
−0.930848 | + | 0.365406i | \(0.880930\pi\) | |||||||
\(542\) | 3.57537 | + | 8.01355i | 0.153575 | + | 0.344211i | ||||
\(543\) | 9.10242i | 0.390622i | ||||||||
\(544\) | 21.0266 | + | 36.0925i | 0.901506 | + | 1.54745i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.616084 | + | 0.274876i | −0.0263660 | + | 0.0117636i | ||||
\(547\) | 37.2385 | 1.59220 | 0.796101 | − | 0.605163i | \(-0.206892\pi\) | ||||
0.796101 | + | 0.605163i | \(0.206892\pi\) | |||||||
\(548\) | 8.02270 | + | 7.20099i | 0.342713 | + | 0.307611i | ||||
\(549\) | − | 4.57331i | − | 0.195184i | ||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 27.6037 | 1.17596 | ||||||||
\(552\) | −0.758681 | + | 2.35375i | −0.0322916 | + | 0.100182i | ||||
\(553\) | − | 27.0336i | − | 1.14959i | ||||||
\(554\) | −10.9072 | − | 24.4465i | −0.463403 | − | 1.03863i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −25.9341 | − | 23.2779i | −1.09985 | − | 0.987202i | ||||
\(557\) | −14.7604 | −0.625420 | −0.312710 | − | 0.949849i | \(-0.601237\pi\) | ||||
−0.312710 | + | 0.949849i | \(0.601237\pi\) | |||||||
\(558\) | 4.29150 | + | 9.61862i | 0.181674 | + | 0.407189i | ||||
\(559\) | 2.71368 | 0.114776 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −10.5633 | −0.445983 | ||||||||
\(562\) | 12.4597 | + | 27.9262i | 0.525581 | + | 1.17800i | ||||
\(563\) | −3.00561 | −0.126671 | −0.0633356 | − | 0.997992i | \(-0.520174\pi\) | ||||
−0.0633356 | + | 0.997992i | \(0.520174\pi\) | |||||||
\(564\) | −4.97676 | − | 4.46702i | −0.209559 | − | 0.188096i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −16.7982 | − | 37.6500i | −0.706079 | − | 1.58255i | ||||
\(567\) | − | 1.97676i | − | 0.0830161i | ||||||
\(568\) | −22.1234 | − | 7.13100i | −0.928276 | − | 0.299210i | ||||
\(569\) | 23.1840 | 0.971923 | 0.485962 | − | 0.873980i | \(-0.338469\pi\) | ||||
0.485962 | + | 0.873980i | \(0.338469\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.202739i | 0.00848438i | 0.999991 | + | 0.00424219i | \(0.00135033\pi\) | ||||
−0.999991 | + | 0.00424219i | \(0.998650\pi\) | |||||||
\(572\) | 0.513819 | + | 0.461192i | 0.0214838 | + | 0.0192834i | ||||
\(573\) | −15.2063 | −0.635253 | ||||||||
\(574\) | 4.88434 | − | 2.17923i | 0.203869 | − | 0.0909592i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 6.49412 | + | 4.67187i | 0.270588 | + | 0.194661i | ||||
\(577\) | 21.8023i | 0.907643i | 0.891093 | + | 0.453821i | \(0.149940\pi\) | ||||
−0.891093 | + | 0.453821i | \(0.850060\pi\) | |||||||
\(578\) | 21.6225 | + | 48.4629i | 0.899376 | + | 2.01579i | ||||
\(579\) | − | 20.7564i | − | 0.862606i | ||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 24.3774i | 1.01134i | ||||||||
\(582\) | −13.7877 | + | 6.15159i | −0.571518 | + | 0.254992i | ||||
\(583\) | 13.1701i | 0.545451i | ||||||||
\(584\) | −3.58120 | + | 11.1104i | −0.148191 | + | 0.459752i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.33930 | − | 3.00179i | −0.0553258 | − | 0.124003i | ||||
\(587\) | −36.7126 | −1.51529 | −0.757645 | − | 0.652667i | \(-0.773650\pi\) | ||||
−0.757645 | + | 0.652667i | \(0.773650\pi\) | |||||||
\(588\) | 4.13127 | − | 4.60269i | 0.170371 | − | 0.189812i | ||||
\(589\) | − | 22.6433i | − | 0.933001i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −23.2508 | −0.956409 | ||||||||
\(592\) | 3.79515 | + | 35.0537i | 0.155980 | + | 1.44070i | ||||
\(593\) | − | 10.6036i | − | 0.435439i | −0.976011 | − | 0.217719i | \(-0.930138\pi\) | ||
0.976011 | − | 0.217719i | \(-0.0698618\pi\) | |||||||
\(594\) | −1.84756 | + | 0.824316i | −0.0758061 | + | 0.0338221i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.40170 | + | 3.05329i | 0.139339 | + | 0.125068i | ||||
\(597\) | −7.21633 | −0.295345 | ||||||||
\(598\) | 0.272499 | − | 0.121580i | 0.0111433 | − | 0.00497177i | ||||
\(599\) | 25.7988 | 1.05411 | 0.527056 | − | 0.849831i | \(-0.323296\pi\) | ||||
0.527056 | + | 0.849831i | \(0.323296\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.5021 | 0.754717 | 0.377358 | − | 0.926067i | \(-0.376832\pi\) | ||||
0.377358 | + | 0.926067i | \(0.376832\pi\) | |||||||
\(602\) | 28.7087 | − | 12.8089i | 1.17008 | − | 0.522050i | ||||
\(603\) | −4.86671 | −0.198188 | ||||||||
\(604\) | −8.90300 | + | 9.91893i | −0.362258 | + | 0.403596i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 17.0559 | − | 7.60978i | 0.692850 | − | 0.309126i | ||||
\(607\) | − | 37.5828i | − | 1.52544i | −0.646730 | − | 0.762719i | \(-0.723864\pi\) | ||
0.646730 | − | 0.762719i | \(-0.276136\pi\) | |||||||
\(608\) | −8.65751 | − | 14.8608i | −0.351108 | − | 0.602685i | ||||
\(609\) | 17.9474 | 0.727264 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.806910i | 0.0326441i | ||||||||
\(612\) | 10.9903 | + | 9.86465i | 0.444257 | + | 0.398755i | ||||
\(613\) | 4.93405 | 0.199284 | 0.0996422 | − | 0.995023i | \(-0.468230\pi\) | ||||
0.0996422 | + | 0.995023i | \(0.468230\pi\) | |||||||
\(614\) | −2.03001 | − | 4.54991i | −0.0819247 | − | 0.183619i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7.61270 | + | 2.45379i | 0.306724 | + | 0.0988661i | ||||
\(617\) | − | 6.26043i | − | 0.252035i | −0.992028 | − | 0.126018i | \(-0.959780\pi\) | ||
0.992028 | − | 0.126018i | \(-0.0402196\pi\) | |||||||
\(618\) | 25.0866 | − | 11.1928i | 1.00913 | − | 0.450239i | ||||
\(619\) | − | 8.02562i | − | 0.322577i | −0.986907 | − | 0.161288i | \(-0.948435\pi\) | ||
0.986907 | − | 0.161288i | \(-0.0515649\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.874337i | 0.0350860i | ||||||||
\(622\) | 12.4900 | + | 27.9942i | 0.500805 | + | 1.12246i | ||||
\(623\) | − | 15.9735i | − | 0.639966i | ||||||
\(624\) | −0.103901 | − | 0.959669i | −0.00415935 | − | 0.0384175i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 16.2065 | − | 7.23078i | 0.647741 | − | 0.289000i | ||||
\(627\) | 4.34935 | 0.173696 | ||||||||
\(628\) | 23.2645 | − | 25.9192i | 0.928355 | − | 1.03429i | ||||
\(629\) | 65.0878i | 2.59522i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26.5248 | −1.05594 | −0.527968 | − | 0.849264i | \(-0.677046\pi\) | ||||
−0.527968 | + | 0.849264i | \(0.677046\pi\) | |||||||
\(632\) | 36.8156 | + | 11.8667i | 1.46444 | + | 0.472032i | ||||
\(633\) | − | 4.38407i | − | 0.174251i | ||||||
\(634\) | 6.25841 | + | 14.0271i | 0.248553 | + | 0.557087i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 12.2991 | − | 13.7025i | 0.487689 | − | 0.543340i | ||||
\(637\) | −0.746260 | −0.0295679 | ||||||||
\(638\) | −7.48412 | − | 16.7743i | −0.296299 | − | 0.664101i | ||||
\(639\) | −8.21808 | −0.325102 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −26.5863 | −1.05009 | −0.525047 | − | 0.851073i | \(-0.675952\pi\) | ||||
−0.525047 | + | 0.851073i | \(0.675952\pi\) | |||||||
\(642\) | 8.53298 | + | 19.1251i | 0.336770 | + | 0.754808i | ||||
\(643\) | −2.89233 | −0.114062 | −0.0570312 | − | 0.998372i | \(-0.518163\pi\) | ||||
−0.0570312 | + | 0.998372i | \(0.518163\pi\) | |||||||
\(644\) | 2.30897 | − | 2.57245i | 0.0909862 | − | 0.101369i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.9362 | − | 28.9942i | −0.508968 | − | 1.14076i | ||||
\(647\) | − | 12.3472i | − | 0.485420i | −0.970099 | − | 0.242710i | \(-0.921964\pi\) | ||
0.970099 | − | 0.242710i | \(-0.0780363\pi\) | |||||||
\(648\) | 2.69204 | + | 0.867721i | 0.105753 | + | 0.0340873i | ||||
\(649\) | 9.20726 | 0.361417 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | − | 14.7222i | − | 0.577009i | ||||||
\(652\) | −6.22795 | + | 6.93863i | −0.243905 | + | 0.271738i | ||||
\(653\) | −39.0507 | −1.52817 | −0.764086 | − | 0.645114i | \(-0.776810\pi\) | ||||
−0.764086 | + | 0.645114i | \(0.776810\pi\) | |||||||
\(654\) | 19.6690 | − | 8.77561i | 0.769117 | − | 0.343154i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.823728 | + | 7.60830i | 0.0321612 | + | 0.297054i | ||||
\(657\) | 4.12714i | 0.161015i | ||||||||
\(658\) | 3.80870 | + | 8.53652i | 0.148479 | + | 0.332788i | ||||
\(659\) | − | 23.7738i | − | 0.926094i | −0.886334 | − | 0.463047i | \(-0.846756\pi\) | ||
0.886334 | − | 0.463047i | \(-0.153244\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 21.5051i | − | 0.836450i | −0.908343 | − | 0.418225i | \(-0.862652\pi\) | ||
0.908343 | − | 0.418225i | \(-0.137348\pi\) | |||||||
\(662\) | −1.59094 | + | 0.709822i | −0.0618335 | + | 0.0275880i | ||||
\(663\) | − | 1.78192i | − | 0.0692040i | ||||||
\(664\) | −33.1982 | − | 10.7007i | −1.28834 | − | 0.415268i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 5.07918 | + | 11.3841i | 0.196814 | + | 0.441124i | ||||
\(667\) | −7.93827 | −0.307371 | ||||||||
\(668\) | 0.204532 | + | 0.183583i | 0.00791356 | + | 0.00710303i | ||||
\(669\) | − | 4.98852i | − | 0.192867i | ||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.54235 | 0.252565 | ||||||||
\(672\) | −5.62894 | − | 9.66218i | −0.217141 | − | 0.372727i | ||||
\(673\) | 36.1896i | 1.39501i | 0.716582 | + | 0.697503i | \(0.245706\pi\) | ||||
−0.716582 | + | 0.697503i | \(0.754294\pi\) | |||||||
\(674\) | 5.34538 | − | 2.38492i | 0.205896 | − | 0.0918639i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 17.2894 | − | 19.2623i | 0.664976 | − | 0.740856i | ||||
\(677\) | 9.17214 | 0.352514 | 0.176257 | − | 0.984344i | \(-0.443601\pi\) | ||||
0.176257 | + | 0.984344i | \(0.443601\pi\) | |||||||
\(678\) | −1.47088 | + | 0.656257i | −0.0564889 | + | 0.0252034i | ||||
\(679\) | 21.1034 | 0.809873 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −11.2569 | −0.431367 | ||||||||
\(682\) | −13.7599 | + | 6.13921i | −0.526895 | + | 0.235083i | ||||
\(683\) | 16.3974 | 0.627429 | 0.313714 | − | 0.949517i | \(-0.398427\pi\) | ||||
0.313714 | + | 0.949517i | \(0.398427\pi\) | |||||||
\(684\) | −4.52517 | − | 4.06169i | −0.173024 | − | 0.155302i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −25.7658 | + | 11.4958i | −0.983742 | + | 0.438912i | ||||
\(687\) | − | 15.8364i | − | 0.604196i | ||||||
\(688\) | 4.84163 | + | 44.7194i | 0.184586 | + | 1.70491i | ||||
\(689\) | −2.22166 | −0.0846387 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 24.4904i | − | 0.931657i | −0.884875 | − | 0.465828i | \(-0.845756\pi\) | ||
0.884875 | − | 0.465828i | \(-0.154244\pi\) | |||||||
\(692\) | 5.29933 | − | 5.90404i | 0.201450 | − | 0.224438i | ||||
\(693\) | 2.82786 | 0.107421 | ||||||||
\(694\) | 10.0600 | + | 22.5477i | 0.381873 | + | 0.855900i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −7.87820 | + | 24.4415i | −0.298622 | + | 0.926452i | ||||
\(697\) | 14.1271i | 0.535104i | ||||||||
\(698\) | −27.4050 | + | 12.2272i | −1.03730 | + | 0.462806i | ||||
\(699\) | − | 10.9591i | − | 0.414512i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.3887i | 0.467916i | 0.972247 | + | 0.233958i | \(0.0751679\pi\) | ||||
−0.972247 | + | 0.233958i | \(0.924832\pi\) | |||||||
\(702\) | −0.139054 | − | 0.311664i | −0.00524824 | − | 0.0117630i | ||||
\(703\) | − | 26.7994i | − | 1.01076i | ||||||
\(704\) | −6.68335 | + | 9.29018i | −0.251888 | + | 0.350137i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −27.1729 | + | 12.1236i | −1.02266 | + | 0.456278i | ||||
\(707\) | −26.1057 | −0.981807 | ||||||||
\(708\) | −9.57945 | − | 8.59830i | −0.360018 | − | 0.323144i | ||||
\(709\) | 33.4144i | 1.25490i | 0.778655 | + | 0.627452i | \(0.215902\pi\) | ||||
−0.778655 | + | 0.627452i | \(0.784098\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 13.6757 | 0.512880 | ||||||||
\(712\) | 21.7534 | + | 7.01176i | 0.815244 | + | 0.262777i | ||||
\(713\) | 6.51175i | 0.243867i | ||||||||
\(714\) | −8.41086 | − | 18.8514i | −0.314768 | − | 0.705496i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.97676 | − | 6.26218i | −0.260734 | − | 0.234029i | ||||
\(717\) | 17.3182 | 0.646761 | ||||||||
\(718\) | 13.5501 | + | 30.3700i | 0.505684 | + | 1.13340i | ||||
\(719\) | 33.8938 | 1.26403 | 0.632013 | − | 0.774958i | \(-0.282229\pi\) | ||||
0.632013 | + | 0.774958i | \(0.282229\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −38.3974 | −1.42999 | ||||||||
\(722\) | −5.62185 | − | 12.6004i | −0.209224 | − | 0.468937i | ||||
\(723\) | −4.76869 | −0.177349 | ||||||||
\(724\) | 13.5479 | + | 12.1603i | 0.503503 | + | 0.451932i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 5.15922 | + | 11.5635i | 0.191477 | + | 0.429160i | ||||
\(727\) | 14.1846i | 0.526076i | 0.964785 | + | 0.263038i | \(0.0847245\pi\) | ||||
−0.964785 | + | 0.263038i | \(0.915275\pi\) | |||||||
\(728\) | −0.413929 | + | 1.28418i | −0.0153412 | + | 0.0475950i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 83.0352i | 3.07117i | ||||||||
\(732\) | −6.80682 | − | 6.10964i | −0.251587 | − | 0.225819i | ||||
\(733\) | −8.09296 | −0.298920 | −0.149460 | − | 0.988768i | \(-0.547754\pi\) | ||||
−0.149460 | + | 0.988768i | \(0.547754\pi\) | |||||||
\(734\) | −32.8056 | + | 14.6367i | −1.21088 | + | 0.540251i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.48972 | + | 4.27366i | 0.0917725 | + | 0.157529i | ||||
\(737\) | − | 6.96208i | − | 0.256452i | ||||||
\(738\) | 1.10242 | + | 2.47088i | 0.0405808 | + | 0.0909544i | ||||
\(739\) | − | 22.0919i | − | 0.812663i | −0.913726 | − | 0.406331i | \(-0.866808\pi\) | ||
0.913726 | − | 0.406331i | \(-0.133192\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.733691i | 0.0269528i | ||||||||
\(742\) | −23.5036 | + | 10.4865i | −0.862844 | + | 0.384971i | ||||
\(743\) | 8.78340i | 0.322232i | 0.986936 | + | 0.161116i | \(0.0515093\pi\) | ||||
−0.986936 | + | 0.161116i | \(0.948491\pi\) | |||||||
\(744\) | 20.0493 | + | 6.46247i | 0.735044 | + | 0.236926i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −5.80123 | − | 13.0024i | −0.212398 | − | 0.476052i | ||||
\(747\) | −12.3320 | −0.451204 | ||||||||
\(748\) | −14.1119 | + | 15.7222i | −0.515982 | + | 0.574861i | ||||
\(749\) | − | 29.2728i | − | 1.06961i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.3779 | 0.488167 | 0.244084 | − | 0.969754i | \(-0.421513\pi\) | ||||
0.244084 | + | 0.969754i | \(0.421513\pi\) | |||||||
\(752\) | −13.2973 | + | 1.43965i | −0.484901 | + | 0.0524988i | ||||
\(753\) | 6.15837i | 0.224423i | ||||||||
\(754\) | 2.82965 | − | 1.26249i | 0.103050 | − | 0.0459773i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −2.94217 | − | 2.64082i | −0.107006 | − | 0.0960459i | ||||
\(757\) | 9.72450 | 0.353443 | 0.176721 | − | 0.984261i | \(-0.443451\pi\) | ||||
0.176721 | + | 0.984261i | \(0.443451\pi\) | |||||||
\(758\) | −24.4963 | + | 10.9294i | −0.889747 | + | 0.396975i | ||||
\(759\) | −1.25079 | −0.0454006 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 33.8835 | 1.22828 | 0.614138 | − | 0.789198i | \(-0.289504\pi\) | ||||
0.614138 | + | 0.789198i | \(0.289504\pi\) | |||||||
\(762\) | −3.14630 | + | 1.40377i | −0.113978 | + | 0.0508532i | ||||
\(763\) | −30.1052 | −1.08988 | ||||||||
\(764\) | −20.3147 | + | 22.6328i | −0.734959 | + | 0.818826i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 37.1236 | − | 16.5633i | 1.34133 | − | 0.598456i | ||||
\(767\) | 1.55317i | 0.0560817i | ||||||||
\(768\) | 15.6293 | − | 3.42440i | 0.563972 | − | 0.123568i | ||||
\(769\) | −18.7334 | −0.675545 | −0.337772 | − | 0.941228i | \(-0.609673\pi\) | ||||
−0.337772 | + | 0.941228i | \(0.609673\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.1584i | 0.509901i | ||||||||
\(772\) | −30.8934 | − | 27.7292i | −1.11188 | − | 0.997996i | ||||
\(773\) | 22.5006 | 0.809292 | 0.404646 | − | 0.914474i | \(-0.367395\pi\) | ||||
0.404646 | + | 0.914474i | \(0.367395\pi\) | |||||||
\(774\) | 6.47972 | + | 14.5231i | 0.232909 | + | 0.522023i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −9.26355 | + | 28.7395i | −0.332542 | + | 1.03169i | ||||
\(777\) | − | 17.4244i | − | 0.625097i | ||||||
\(778\) | 38.5074 | − | 17.1807i | 1.38056 | − | 0.615958i | ||||
\(779\) | − | 5.81673i | − | 0.208406i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 11.7564i | − | 0.420677i | ||||||
\(782\) | 3.72019 | + | 8.33813i | 0.133034 | + | 0.298171i | ||||
\(783\) | 9.07918i | 0.324464i | ||||||||
\(784\) | −1.33145 | − | 12.2978i | −0.0475517 | − | 0.439207i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −8.91319 | + | 3.97676i | −0.317923 | + | 0.141846i | ||||
\(787\) | −28.1063 | −1.00188 | −0.500940 | − | 0.865482i | \(-0.667012\pi\) | ||||
−0.500940 | + | 0.865482i | \(0.667012\pi\) | |||||||
\(788\) | −31.0616 | + | 34.6060i | −1.10652 | + | 1.23279i | ||||
\(789\) | − | 15.5960i | − | 0.555232i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.25133 | 0.0800479 | ||||||||
\(792\) | −1.24132 | + | 3.85110i | −0.0441084 | + | 0.136843i | ||||
\(793\) | 1.10363i | 0.0391910i | ||||||||
\(794\) | −1.57405 | − | 3.52795i | −0.0558610 | − | 0.125202i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.64055 | + | 10.7406i | −0.341700 | + | 0.380692i | ||||
\(797\) | −38.1461 | −1.35120 | −0.675602 | − | 0.737267i | \(-0.736116\pi\) | ||||
−0.675602 | + | 0.737267i | \(0.736116\pi\) | |||||||
\(798\) | 3.46310 | + | 7.76191i | 0.122592 | + | 0.274769i | ||||
\(799\) | −24.6904 | −0.873485 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.08066 | 0.285516 | ||||||||
\(802\) | −14.9094 | − | 33.4168i | −0.526470 | − | 1.17999i | ||||
\(803\) | −5.90409 | −0.208351 | ||||||||
\(804\) | −6.50161 | + | 7.24352i | −0.229294 | + | 0.255459i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.03562 | − | 2.32116i | −0.0364782 | − | 0.0817593i | ||||
\(807\) | − | 11.3182i | − | 0.398420i | ||||||
\(808\) | 11.4594 | − | 35.5519i | 0.403140 | − | 1.25071i | ||||
\(809\) | 10.0745 | 0.354201 | 0.177101 | − | 0.984193i | \(-0.443328\pi\) | ||||
0.177101 | + | 0.984193i | \(0.443328\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 40.6001i | − | 1.42566i | −0.701335 | − | 0.712832i | \(-0.747412\pi\) | ||
0.701335 | − | 0.712832i | \(-0.252588\pi\) | |||||||
\(812\) | 23.9765 | − | 26.7125i | 0.841411 | − | 0.937426i | ||||
\(813\) | 6.20485 | 0.217613 | ||||||||
\(814\) | −16.2855 | + | 7.26604i | −0.570807 | + | 0.254674i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 29.3647 | − | 3.17923i | 1.02797 | − | 0.111295i | ||||
\(817\) | − | 34.1891i | − | 1.19612i | ||||||
\(818\) | 12.9527 | + | 29.0311i | 0.452879 | + | 1.01505i | ||||
\(819\) | 0.477031i | 0.0166688i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 10.3397i | 0.360858i | 0.983588 | + | 0.180429i | \(0.0577486\pi\) | ||||
−0.983588 | + | 0.180429i | \(0.942251\pi\) | |||||||
\(822\) | 6.96146 | − | 3.10597i | 0.242809 | − | 0.108333i | ||||
\(823\) | 28.5013i | 0.993493i | 0.867896 | + | 0.496746i | \(0.165472\pi\) | ||||
−0.867896 | + | 0.496746i | \(0.834528\pi\) | |||||||
\(824\) | 16.8550 | − | 52.2912i | 0.587170 | − | 1.82165i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 7.33113 | + | 16.4314i | 0.255083 | + | 0.571722i | ||||
\(827\) | 32.1957 | 1.11956 | 0.559778 | − | 0.828643i | \(-0.310886\pi\) | ||||
0.559778 | + | 0.828643i | \(0.310886\pi\) | |||||||
\(828\) | 1.30135 | + | 1.16806i | 0.0452249 | + | 0.0405928i | ||||
\(829\) | − | 31.5286i | − | 1.09503i | −0.836795 | − | 0.547516i | \(-0.815573\pi\) | ||
0.836795 | − | 0.547516i | \(-0.184427\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −18.9288 | −0.656633 | ||||||||
\(832\) | −1.56716 | − | 1.12741i | −0.0543314 | − | 0.0390860i | ||||
\(833\) | − | 22.8346i | − | 0.791173i | ||||||
\(834\) | −22.5036 | + | 10.0403i | −0.779236 | + | 0.347668i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 5.81045 | − | 6.47349i | 0.200959 | − | 0.223890i | ||||
\(837\) | 7.44764 | 0.257428 | ||||||||
\(838\) | −31.6813 | + | 14.1351i | −1.09441 | + | 0.488290i | ||||
\(839\) | −54.9816 | −1.89818 | −0.949089 | − | 0.315009i | \(-0.897992\pi\) | ||||
−0.949089 | + | 0.315009i | \(0.897992\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −53.4316 | −1.84247 | ||||||||
\(842\) | 43.1175 | − | 19.2376i | 1.48593 | − | 0.662970i | ||||
\(843\) | 21.6231 | 0.744739 | ||||||||
\(844\) | −6.52517 | − | 5.85684i | −0.224606 | − | 0.201601i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −4.31844 | + | 1.92674i | −0.148471 | + | 0.0662427i | ||||
\(847\) | − | 17.6990i | − | 0.608144i | ||||||
\(848\) | −3.96380 | − | 36.6113i | −0.136117 | − | 1.25724i | ||||
\(849\) | −29.1522 | −1.00050 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 7.70696i | 0.264191i | ||||||||
\(852\) | −10.9788 | + | 12.2316i | −0.376128 | + | 0.419049i | ||||
\(853\) | −4.22607 | −0.144698 | −0.0723489 | − | 0.997379i | \(-0.523050\pi\) | ||||
−0.0723489 | + | 0.997379i | \(0.523050\pi\) | |||||||
\(854\) | 5.20924 | + | 11.6756i | 0.178257 | + | 0.399530i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 39.8650 | + | 12.8496i | 1.36256 | + | 0.439191i | ||||
\(857\) | 54.8223i | 1.87270i | 0.351074 | + | 0.936348i | \(0.385817\pi\) | ||||
−0.351074 | + | 0.936348i | \(0.614183\pi\) | |||||||
\(858\) | 0.445851 | − | 0.198923i | 0.0152211 | − | 0.00679113i | ||||
\(859\) | 14.2126i | 0.484926i | 0.970161 | + | 0.242463i | \(0.0779554\pi\) | ||||
−0.970161 | + | 0.242463i | \(0.922045\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | − | 3.78192i | − | 0.128887i | ||||||
\(862\) | −6.71574 | − | 15.0521i | −0.228739 | − | 0.512678i | ||||
\(863\) | − | 40.7446i | − | 1.38696i | −0.720474 | − | 0.693482i | \(-0.756076\pi\) | ||
0.720474 | − | 0.693482i | \(-0.243924\pi\) | |||||||
\(864\) | 4.88789 | − | 2.84756i | 0.166289 | − | 0.0968758i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −25.5305 | + | 11.3908i | −0.867563 | + | 0.387077i | ||||
\(867\) | 37.5245 | 1.27440 | ||||||||
\(868\) | −21.9122 | − | 19.6679i | −0.743750 | − | 0.667573i | ||||
\(869\) | 19.5638i | 0.663658i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.17443 | 0.0397941 | ||||||||
\(872\) | 13.2150 | − | 40.9985i | 0.447517 | − | 1.38839i | ||||
\(873\) | 10.6757i | 0.361319i | ||||||||
\(874\) | −1.53176 | − | 3.43316i | −0.0518125 | − | 0.116128i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 6.14275 | + | 5.51359i | 0.207544 | + | 0.186287i | ||||
\(877\) | −34.4568 | −1.16352 | −0.581762 | − | 0.813359i | \(-0.697637\pi\) | ||||
−0.581762 | + | 0.813359i | \(0.697637\pi\) | |||||||
\(878\) | −14.5034 | − | 32.5068i | −0.489467 | − | 1.09705i | ||||
\(879\) | −2.32427 | −0.0783957 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 23.8528 | 0.803623 | 0.401811 | − | 0.915722i | \(-0.368381\pi\) | ||||
0.401811 | + | 0.915722i | \(0.368381\pi\) | |||||||
\(882\) | −1.78192 | − | 3.99385i | −0.0600004 | − | 0.134480i | ||||
\(883\) | 24.2417 | 0.815798 | 0.407899 | − | 0.913027i | \(-0.366262\pi\) | ||||
0.407899 | + | 0.913027i | \(0.366262\pi\) | |||||||
\(884\) | −2.65217 | − | 2.38053i | −0.0892023 | − | 0.0800659i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.2660 | − | 25.2508i | −0.378490 | − | 0.848317i | ||||
\(887\) | − | 39.1843i | − | 1.31568i | −0.753158 | − | 0.657840i | \(-0.771470\pi\) | ||
0.753158 | − | 0.657840i | \(-0.228530\pi\) | |||||||
\(888\) | 23.7293 | + | 7.64863i | 0.796303 | + | 0.256671i | ||||
\(889\) | 4.81571 | 0.161514 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.43055i | 0.0479253i | ||||||||
\(892\) | −7.42481 | − | 6.66434i | −0.248601 | − | 0.223139i | ||||
\(893\) | 10.1661 | 0.340195 | ||||||||
\(894\) | 2.95173 | − | 1.31696i | 0.0987206 | − | 0.0440457i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −21.9009 | − | 4.53005i | −0.731658 | − | 0.151339i | ||||
\(897\) | − | 0.210995i | − | 0.00704490i | ||||||
\(898\) | −11.5021 | − | 25.7799i | −0.383830 | − | 0.860286i | ||||
\(899\) | 67.6185i | 2.25520i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 67.9802i | − | 2.26475i | ||||||
\(902\) | −3.53473 | + | 1.57707i | −0.117693 | + | 0.0525108i | ||||
\(903\) | − | 22.2290i | − | 0.739736i | ||||||
\(904\) | −0.988244 | + | 3.06595i | −0.0328685 | + | 0.101972i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.84009 | + | 8.60686i | 0.127578 | + | 0.285944i | ||||
\(907\) | −18.9418 | −0.628951 | −0.314475 | − | 0.949266i | \(-0.601829\pi\) | ||||
−0.314475 | + | 0.949266i | \(0.601829\pi\) | |||||||
\(908\) | −15.0385 | + | 16.7546i | −0.499071 | + | 0.556021i | ||||
\(909\) | − | 13.2063i | − | 0.438026i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 17.8493 | 0.591375 | 0.295688 | − | 0.955285i | \(-0.404451\pi\) | ||||
0.295688 | + | 0.955285i | \(0.404451\pi\) | |||||||
\(912\) | −12.0907 | + | 1.30902i | −0.400362 | + | 0.0433460i | ||||
\(913\) | − | 17.6415i | − | 0.583850i | ||||||
\(914\) | −6.47267 | + | 2.88789i | −0.214097 | + | 0.0955228i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −23.5706 | − | 21.1564i | −0.778793 | − | 0.699027i | ||||
\(917\) | 13.6425 | 0.450515 | ||||||||
\(918\) | 9.53652 | − | 4.25487i | 0.314752 | − | 0.140432i | ||||
\(919\) | −24.4983 | −0.808126 | −0.404063 | − | 0.914731i | \(-0.632402\pi\) | ||||
−0.404063 | + | 0.914731i | \(0.632402\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.52297 | −0.116086 | ||||||||
\(922\) | 6.61978 | − | 2.95352i | 0.218011 | − | 0.0972690i | ||||
\(923\) | 1.98318 | 0.0652772 | ||||||||
\(924\) | 3.77784 | − | 4.20893i | 0.124282 | − | 0.138464i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 7.48443 | − | 3.33930i | 0.245954 | − | 0.109736i | ||||
\(927\) | − | 19.4244i | − | 0.637981i | ||||||
\(928\) | 25.8535 | + | 44.3780i | 0.848682 | + | 1.45678i | ||||
\(929\) | −11.5577 | −0.379196 | −0.189598 | − | 0.981862i | \(-0.560718\pi\) | ||||
−0.189598 | + | 0.981862i | \(0.560718\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.40197i | 0.308137i | ||||||||
\(932\) | −16.3114 | − | 14.6407i | −0.534296 | − | 0.479572i | ||||
\(933\) | 21.6757 | 0.709632 | ||||||||
\(934\) | 9.69251 | + | 21.7240i | 0.317148 | + | 0.710831i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −0.649641 | − | 0.209398i | −0.0212342 | − | 0.00684438i | ||||
\(937\) | − | 59.5587i | − | 1.94570i | −0.231440 | − | 0.972849i | \(-0.574344\pi\) | ||
0.231440 | − | 0.972849i | \(-0.425656\pi\) | |||||||
\(938\) | 12.4246 | − | 5.54345i | 0.405679 | − | 0.181000i | ||||
\(939\) | − | 12.5486i | − | 0.409508i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 55.9289i | 1.82323i | 0.411044 | + | 0.911615i | \(0.365164\pi\) | ||||
−0.411044 | + | 0.911615i | \(0.634836\pi\) | |||||||
\(942\) | −10.0346 | − | 22.4907i | −0.326944 | − | 0.732785i | ||||
\(943\) | 1.67277i | 0.0544730i | ||||||||
\(944\) | −25.5951 | + | 2.77110i | −0.833048 | + | 0.0901917i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −20.7761 | + | 9.26958i | −0.675489 | + | 0.301380i | ||||
\(947\) | 30.0945 | 0.977941 | 0.488970 | − | 0.872300i | \(-0.337373\pi\) | ||||
0.488970 | + | 0.872300i | \(0.337373\pi\) | |||||||
\(948\) | 18.2699 | − | 20.3547i | 0.593379 | − | 0.661089i | ||||
\(949\) | − | 0.995959i | − | 0.0323302i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.8611 | 0.352195 | ||||||||
\(952\) | −39.2944 | − | 12.6657i | −1.27354 | − | 0.410498i | ||||
\(953\) | − | 12.4097i | − | 0.401989i | −0.979592 | − | 0.200995i | \(-0.935583\pi\) | ||
0.979592 | − | 0.200995i | \(-0.0644174\pi\) | |||||||
\(954\) | −5.30489 | − | 11.8900i | −0.171752 | − | 0.384951i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 23.1360 | − | 25.7761i | 0.748272 | − | 0.833658i | ||||
\(957\) | −12.9882 | −0.419850 | ||||||||
\(958\) | −21.2664 | − | 47.6647i | −0.687085 | − | 1.53998i | ||||
\(959\) | −10.6552 | −0.344074 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.4674 | 0.789271 | ||||||||
\(962\) | −1.22571 | − | 2.74720i | −0.0395183 | − | 0.0885732i | ||||
\(963\) | 14.8085 | 0.477196 | ||||||||
\(964\) | −6.37066 | + | 7.09762i | −0.205185 | + | 0.228599i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.995917 | − | 2.23217i | −0.0320431 | − | 0.0718188i | ||||
\(967\) | 41.8371i | 1.34539i | 0.739920 | + | 0.672694i | \(0.234863\pi\) | ||||
−0.739920 | + | 0.672694i | \(0.765137\pi\) | |||||||
\(968\) | 24.1032 | + | 7.76916i | 0.774706 | + | 0.249710i | ||||
\(969\) | −22.4500 | −0.721199 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 40.6875i | − | 1.30572i | −0.757477 | − | 0.652862i | \(-0.773568\pi\) | ||
0.757477 | − | 0.652862i | \(-0.226432\pi\) | |||||||
\(972\) | 1.33594 | − | 1.48838i | 0.0428502 | − | 0.0477398i | ||||
\(973\) | 34.4439 | 1.10422 | ||||||||
\(974\) | −6.65101 | + | 2.96745i | −0.213112 | + | 0.0950833i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −18.1869 | + | 1.96905i | −0.582150 | + | 0.0630276i | ||||
\(977\) | 1.67923i | 0.0537233i | 0.999639 | + | 0.0268617i | \(0.00855136\pi\) | ||||
−0.999639 | + | 0.0268617i | \(0.991449\pi\) | |||||||
\(978\) | 2.68627 | + | 6.02079i | 0.0858975 | + | 0.192524i | ||||
\(979\) | 11.5598i | 0.369453i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 15.2296i | − | 0.486243i | ||||||
\(982\) | −29.8535 | + | 13.3196i | −0.952663 | + | 0.425046i | ||||
\(983\) | 13.4944i | 0.430404i | 0.976570 | + | 0.215202i | \(0.0690411\pi\) | ||||
−0.976570 | + | 0.215202i | \(0.930959\pi\) | |||||||
\(984\) | 5.15038 | + | 1.66011i | 0.164188 | + | 0.0529225i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 38.6307 | + | 86.5838i | 1.23025 | + | 2.75739i | ||||
\(987\) | 6.60978 | 0.210392 | ||||||||
\(988\) | 1.09201 | + | 0.980164i | 0.0347415 | + | 0.0311832i | ||||
\(989\) | 9.83208i | 0.312642i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.8502 | −0.344667 | −0.172333 | − | 0.985039i | \(-0.555131\pi\) | ||||
−0.172333 | + | 0.985039i | \(0.555131\pi\) | |||||||
\(992\) | 36.4032 | − | 21.2076i | 1.15580 | − | 0.673341i | ||||
\(993\) | 1.23185i | 0.0390917i | ||||||||
\(994\) | 20.9806 | − | 9.36083i | 0.665465 | − | 0.296908i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −16.4747 | + | 18.3547i | −0.522022 | + | 0.581590i | ||||
\(997\) | 39.0972 | 1.23822 | 0.619110 | − | 0.785304i | \(-0.287493\pi\) | ||||
0.619110 | + | 0.785304i | \(0.287493\pi\) | |||||||
\(998\) | −18.4828 | + | 8.24639i | −0.585063 | + | 0.261035i | ||||
\(999\) | 8.81463 | 0.278882 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))