Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(29,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.q (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | 16.0.534694406811304329216.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2x^{14} - 2x^{12} + 4x^{10} + 4x^{8} + 16x^{6} - 32x^{4} - 128x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 69.3 | ||
Root | \(-1.32661 + 0.490008i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.69 |
Dual form | 80.2.q.c.29.3 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.490008 | + | 1.32661i | −0.346488 | + | 0.938054i | ||||
\(3\) | −1.99154 | − | 1.99154i | −1.14981 | − | 1.14981i | −0.986589 | − | 0.163226i | \(-0.947810\pi\) |
−0.163226 | − | 0.986589i | \(-0.552190\pi\) | |||||||
\(4\) | −1.51978 | − | 1.30010i | −0.759892 | − | 0.650049i | ||||
\(5\) | −0.569800 | − | 2.16225i | −0.254822 | − | 0.966988i | ||||
\(6\) | 3.61786 | − | 1.66612i | 1.47699 | − | 0.680192i | ||||
\(7\) | −1.09033 | −0.412104 | −0.206052 | − | 0.978541i | \(-0.566062\pi\) | ||||
−0.206052 | + | 0.978541i | \(0.566062\pi\) | |||||||
\(8\) | 2.46943 | − | 1.37910i | 0.873075 | − | 0.487586i | ||||
\(9\) | 4.93244i | 1.64415i | ||||||||
\(10\) | 3.14767 | + | 0.303617i | 0.995380 | + | 0.0960123i | ||||
\(11\) | −2.33225 | − | 2.33225i | −0.703199 | − | 0.703199i | 0.261897 | − | 0.965096i | \(-0.415652\pi\) |
−0.965096 | + | 0.261897i | \(0.915652\pi\) | |||||||
\(12\) | 0.437515 | + | 5.61590i | 0.126300 | + | 1.62117i | ||||
\(13\) | 1.80775 | + | 1.80775i | 0.501379 | + | 0.501379i | 0.911866 | − | 0.410487i | \(-0.134641\pi\) |
−0.410487 | + | 0.911866i | \(0.634641\pi\) | |||||||
\(14\) | 0.534268 | − | 1.44644i | 0.142789 | − | 0.386576i | ||||
\(15\) | −3.17142 | + | 5.44098i | −0.818858 | + | 1.40486i | ||||
\(16\) | 0.619491 | + | 3.95174i | 0.154873 | + | 0.987934i | ||||
\(17\) | − | 4.93886i | − | 1.19785i | −0.800806 | − | 0.598924i | \(-0.795595\pi\) | ||
0.800806 | − | 0.598924i | \(-0.204405\pi\) | |||||||
\(18\) | −6.54342 | − | 2.41694i | −1.54230 | − | 0.569677i | ||||
\(19\) | 2.03957 | − | 2.03957i | 0.467909 | − | 0.467909i | −0.433327 | − | 0.901237i | \(-0.642661\pi\) |
0.901237 | + | 0.433327i | \(0.142661\pi\) | |||||||
\(20\) | −1.94516 | + | 4.02695i | −0.434952 | + | 0.900454i | ||||
\(21\) | 2.17142 | + | 2.17142i | 0.473844 | + | 0.473844i | ||||
\(22\) | 4.23680 | − | 1.95116i | 0.903289 | − | 0.415989i | ||||
\(23\) | 1.45791 | 0.303995 | 0.151997 | − | 0.988381i | \(-0.451430\pi\) | ||||
0.151997 | + | 0.988381i | \(0.451430\pi\) | |||||||
\(24\) | −7.66449 | − | 2.17142i | −1.56451 | − | 0.443240i | ||||
\(25\) | −4.35066 | + | 2.46410i | −0.870131 | + | 0.492820i | ||||
\(26\) | −3.28398 | + | 1.51236i | −0.644042 | + | 0.296599i | ||||
\(27\) | 3.84853 | − | 3.84853i | 0.740650 | − | 0.740650i | ||||
\(28\) | 1.65706 | + | 1.41753i | 0.313155 | + | 0.267888i | ||||
\(29\) | −0.707323 | + | 0.707323i | −0.131347 | + | 0.131347i | −0.769724 | − | 0.638377i | \(-0.779606\pi\) |
0.638377 | + | 0.769724i | \(0.279606\pi\) | |||||||
\(30\) | −5.66403 | − | 6.87336i | −1.03411 | − | 1.25490i | ||||
\(31\) | 10.1286 | 1.81915 | 0.909575 | − | 0.415541i | \(-0.136408\pi\) | ||||
0.909575 | + | 0.415541i | \(0.136408\pi\) | |||||||
\(32\) | −5.54597 | − | 1.11456i | −0.980398 | − | 0.197028i | ||||
\(33\) | 9.28951i | 1.61710i | ||||||||
\(34\) | 6.55193 | + | 2.42008i | 1.12365 | + | 0.415040i | ||||
\(35\) | 0.621268 | + | 2.35756i | 0.105013 | + | 0.398500i | ||||
\(36\) | 6.41266 | − | 7.49625i | 1.06878 | − | 1.24938i | ||||
\(37\) | 4.35066 | − | 4.35066i | 0.715243 | − | 0.715243i | −0.252384 | − | 0.967627i | \(-0.581215\pi\) |
0.967627 | + | 0.252384i | \(0.0812146\pi\) | |||||||
\(38\) | 1.70631 | + | 3.70512i | 0.276800 | + | 0.601049i | ||||
\(39\) | − | 7.20039i | − | 1.15299i | ||||||
\(40\) | −4.38905 | − | 4.55371i | −0.693969 | − | 0.720005i | ||||
\(41\) | − | 10.2753i | − | 1.60473i | −0.596833 | − | 0.802365i | \(-0.703575\pi\) | ||
0.596833 | − | 0.802365i | \(-0.296425\pi\) | |||||||
\(42\) | −3.94465 | + | 1.81662i | −0.608672 | + | 0.280310i | ||||
\(43\) | −2.22457 | + | 2.22457i | −0.339244 | + | 0.339244i | −0.856083 | − | 0.516839i | \(-0.827109\pi\) |
0.516839 | + | 0.856083i | \(0.327109\pi\) | |||||||
\(44\) | 0.512364 | + | 6.57666i | 0.0772418 | + | 0.991469i | ||||
\(45\) | 10.6652 | − | 2.81051i | 1.58987 | − | 0.418966i | ||||
\(46\) | −0.714386 | + | 1.93407i | −0.105330 | + | 0.285163i | ||||
\(47\) | 2.09458i | 0.305525i | 0.988263 | + | 0.152763i | \(0.0488170\pi\) | ||||
−0.988263 | + | 0.152763i | \(0.951183\pi\) | |||||||
\(48\) | 6.63629 | − | 9.10377i | 0.957866 | − | 1.31402i | ||||
\(49\) | −5.81119 | −0.830170 | ||||||||
\(50\) | −1.13705 | − | 6.97905i | −0.160802 | − | 0.986987i | ||||
\(51\) | −9.83592 | + | 9.83592i | −1.37730 | + | 1.37730i | ||||
\(52\) | −0.397138 | − | 5.09763i | −0.0550732 | − | 0.706915i | ||||
\(53\) | 0.215297 | − | 0.215297i | 0.0295733 | − | 0.0295733i | −0.692166 | − | 0.721739i | \(-0.743343\pi\) |
0.721739 | + | 0.692166i | \(0.243343\pi\) | |||||||
\(54\) | 3.21969 | + | 6.99131i | 0.438144 | + | 0.951396i | ||||
\(55\) | −3.71399 | + | 6.37182i | −0.500794 | + | 0.859175i | ||||
\(56\) | −2.69248 | + | 1.50367i | −0.359798 | + | 0.200936i | ||||
\(57\) | −8.12376 | −1.07602 | ||||||||
\(58\) | −0.591747 | − | 1.28493i | −0.0777002 | − | 0.168720i | ||||
\(59\) | −1.16082 | − | 1.16082i | −0.151126 | − | 0.151126i | 0.627495 | − | 0.778621i | \(-0.284080\pi\) |
−0.778621 | + | 0.627495i | \(0.784080\pi\) | |||||||
\(60\) | 11.8937 | − | 4.14596i | 1.53547 | − | 0.535241i | ||||
\(61\) | −3.46410 | + | 3.46410i | −0.443533 | + | 0.443533i | −0.893197 | − | 0.449665i | \(-0.851543\pi\) |
0.449665 | + | 0.893197i | \(0.351543\pi\) | |||||||
\(62\) | −4.96309 | + | 13.4367i | −0.630313 | + | 1.70646i | ||||
\(63\) | − | 5.37797i | − | 0.677560i | ||||||
\(64\) | 4.19615 | − | 6.81119i | 0.524519 | − | 0.851399i | ||||
\(65\) | 2.87875 | − | 4.93886i | 0.357065 | − | 0.612590i | ||||
\(66\) | −12.3236 | − | 4.55193i | −1.51692 | − | 0.560304i | ||||
\(67\) | −5.04189 | − | 5.04189i | −0.615965 | − | 0.615965i | 0.328529 | − | 0.944494i | \(-0.393447\pi\) |
−0.944494 | + | 0.328529i | \(0.893447\pi\) | |||||||
\(68\) | −6.42100 | + | 7.50600i | −0.778660 | + | 0.910236i | ||||
\(69\) | −2.90348 | − | 2.90348i | −0.349537 | − | 0.349537i | ||||
\(70\) | −3.43198 | − | 0.331042i | −0.410201 | − | 0.0395671i | ||||
\(71\) | 6.40078i | 0.759633i | 0.925062 | + | 0.379817i | \(0.124013\pi\) | ||||
−0.925062 | + | 0.379817i | \(0.875987\pi\) | |||||||
\(72\) | 6.80234 | + | 12.1803i | 0.801664 | + | 1.43546i | ||||
\(73\) | 5.24343 | 0.613696 | 0.306848 | − | 0.951758i | \(-0.400726\pi\) | ||||
0.306848 | + | 0.951758i | \(0.400726\pi\) | |||||||
\(74\) | 3.63977 | + | 7.90348i | 0.423114 | + | 0.918760i | ||||
\(75\) | 13.5718 | + | 3.75714i | 1.56714 | + | 0.433837i | ||||
\(76\) | −5.75135 | + | 0.448067i | −0.659725 | + | 0.0513968i | ||||
\(77\) | 2.54291 | + | 2.54291i | 0.289791 | + | 0.289791i | ||||
\(78\) | 9.55211 | + | 3.52825i | 1.08156 | + | 0.399495i | ||||
\(79\) | 2.61504 | 0.294215 | 0.147107 | − | 0.989121i | \(-0.453004\pi\) | ||||
0.147107 | + | 0.989121i | \(0.453004\pi\) | |||||||
\(80\) | 8.19166 | − | 3.59120i | 0.915856 | − | 0.401508i | ||||
\(81\) | −0.531659 | −0.0590733 | ||||||||
\(82\) | 13.6313 | + | 5.03497i | 1.50532 | + | 0.556020i | ||||
\(83\) | 5.67856 | + | 5.67856i | 0.623303 | + | 0.623303i | 0.946375 | − | 0.323071i | \(-0.104715\pi\) |
−0.323071 | + | 0.946375i | \(0.604715\pi\) | |||||||
\(84\) | −0.477033 | − | 6.12316i | −0.0520486 | − | 0.668092i | ||||
\(85\) | −10.6790 | + | 2.81416i | −1.15831 | + | 0.305239i | ||||
\(86\) | −1.86108 | − | 4.04120i | −0.200686 | − | 0.435774i | ||||
\(87\) | 2.81732 | 0.302048 | ||||||||
\(88\) | −8.97572 | − | 2.54291i | −0.956815 | − | 0.271075i | ||||
\(89\) | 6.87875i | 0.729146i | 0.931175 | + | 0.364573i | \(0.118785\pi\) | ||||
−0.931175 | + | 0.364573i | \(0.881215\pi\) | |||||||
\(90\) | −1.49758 | + | 15.5257i | −0.157858 | + | 1.63655i | ||||
\(91\) | −1.97103 | − | 1.97103i | −0.206620 | − | 0.206620i | ||||
\(92\) | −2.21570 | − | 1.89542i | −0.231003 | − | 0.197611i | ||||
\(93\) | −20.1715 | − | 20.1715i | −2.09168 | − | 2.09168i | ||||
\(94\) | −2.77868 | − | 1.02636i | −0.286599 | − | 0.105861i | ||||
\(95\) | −5.57221 | − | 3.24791i | −0.571696 | − | 0.333229i | ||||
\(96\) | 8.82531 | + | 13.2647i | 0.900730 | + | 1.35382i | ||||
\(97\) | 3.77310i | 0.383100i | 0.981483 | + | 0.191550i | \(0.0613515\pi\) | ||||
−0.981483 | + | 0.191550i | \(0.938649\pi\) | |||||||
\(98\) | 2.84753 | − | 7.70918i | 0.287644 | − | 0.778745i | ||||
\(99\) | 11.5037 | − | 11.5037i | 1.15616 | − | 1.15616i | ||||
\(100\) | 9.81563 | + | 1.91137i | 0.981563 | + | 0.191137i | ||||
\(101\) | −0.707323 | − | 0.707323i | −0.0703813 | − | 0.0703813i | 0.671040 | − | 0.741421i | \(-0.265848\pi\) |
−0.741421 | + | 0.671040i | \(0.765848\pi\) | |||||||
\(102\) | −8.22874 | − | 17.8681i | −0.814767 | − | 1.76921i | ||||
\(103\) | 12.9320 | 1.27422 | 0.637112 | − | 0.770771i | \(-0.280129\pi\) | ||||
0.637112 | + | 0.770771i | \(0.280129\pi\) | |||||||
\(104\) | 6.95717 | + | 1.97103i | 0.682207 | + | 0.193276i | ||||
\(105\) | 3.45789 | − | 5.93244i | 0.337455 | − | 0.578947i | ||||
\(106\) | 0.180117 | + | 0.391111i | 0.0174946 | + | 0.0379881i | ||||
\(107\) | 1.56094 | − | 1.56094i | 0.150902 | − | 0.150902i | −0.627619 | − | 0.778521i | \(-0.715970\pi\) |
0.778521 | + | 0.627619i | \(0.215970\pi\) | |||||||
\(108\) | −10.8524 | + | 0.845472i | −1.04427 | + | 0.0813556i | ||||
\(109\) | −7.13283 | + | 7.13283i | −0.683202 | + | 0.683202i | −0.960720 | − | 0.277519i | \(-0.910488\pi\) |
0.277519 | + | 0.960720i | \(0.410488\pi\) | |||||||
\(110\) | −6.63303 | − | 8.04925i | −0.632434 | − | 0.767466i | ||||
\(111\) | −17.3290 | −1.64479 | ||||||||
\(112\) | −0.675447 | − | 4.30868i | −0.0638238 | − | 0.407132i | ||||
\(113\) | − | 9.23949i | − | 0.869178i | −0.900629 | − | 0.434589i | \(-0.856894\pi\) | ||
0.900629 | − | 0.434589i | \(-0.143106\pi\) | |||||||
\(114\) | 3.98070 | − | 10.7771i | 0.372827 | − | 1.00936i | ||||
\(115\) | −0.830715 | − | 3.15236i | −0.0774646 | − | 0.293959i | ||||
\(116\) | 1.99457 | − | 0.155390i | 0.185191 | − | 0.0144276i | ||||
\(117\) | −8.91661 | + | 8.91661i | −0.824341 | + | 0.824341i | ||||
\(118\) | 2.10877 | − | 0.971145i | 0.194128 | − | 0.0894012i | ||||
\(119\) | 5.38496i | 0.493639i | ||||||||
\(120\) | −0.327935 | + | 17.8098i | −0.0299362 | + | 1.62581i | ||||
\(121\) | − | 0.121253i | − | 0.0110230i | ||||||
\(122\) | −2.89807 | − | 6.29295i | −0.262379 | − | 0.569737i | ||||
\(123\) | −20.4636 | + | 20.4636i | −1.84514 | + | 1.84514i | ||||
\(124\) | −15.3933 | − | 13.1682i | −1.38236 | − | 1.18254i | ||||
\(125\) | 7.80701 | + | 8.00316i | 0.698280 | + | 0.715825i | ||||
\(126\) | 7.13446 | + | 2.63525i | 0.635589 | + | 0.234766i | ||||
\(127\) | − | 1.99608i | − | 0.177124i | −0.996071 | − | 0.0885618i | \(-0.971773\pi\) | ||
0.996071 | − | 0.0885618i | \(-0.0282271\pi\) | |||||||
\(128\) | 6.97964 | + | 8.90419i | 0.616919 | + | 0.787027i | ||||
\(129\) | 8.86065 | 0.780136 | ||||||||
\(130\) | 5.14132 | + | 6.23905i | 0.450924 | + | 0.547201i | ||||
\(131\) | 11.2894 | − | 11.2894i | 0.986361 | − | 0.986361i | −0.0135473 | − | 0.999908i | \(-0.504312\pi\) |
0.999908 | + | 0.0135473i | \(0.00431238\pi\) | |||||||
\(132\) | 12.0773 | − | 14.1181i | 1.05119 | − | 1.22882i | ||||
\(133\) | −2.22380 | + | 2.22380i | −0.192827 | + | 0.192827i | ||||
\(134\) | 9.15919 | − | 4.21806i | 0.791234 | − | 0.364385i | ||||
\(135\) | −10.5144 | − | 6.12859i | −0.904934 | − | 0.527465i | ||||
\(136\) | −6.81119 | − | 12.1962i | −0.584055 | − | 1.04581i | ||||
\(137\) | 15.9429 | 1.36210 | 0.681049 | − | 0.732238i | \(-0.261524\pi\) | ||||
0.681049 | + | 0.732238i | \(0.261524\pi\) | |||||||
\(138\) | 5.27450 | − | 2.42905i | 0.448996 | − | 0.206775i | ||||
\(139\) | 3.79635 | + | 3.79635i | 0.322002 | + | 0.322002i | 0.849535 | − | 0.527533i | \(-0.176883\pi\) |
−0.527533 | + | 0.849535i | \(0.676883\pi\) | |||||||
\(140\) | 2.12086 | − | 4.39069i | 0.179246 | − | 0.371081i | ||||
\(141\) | 4.17142 | − | 4.17142i | 0.351297 | − | 0.351297i | ||||
\(142\) | −8.49134 | − | 3.13643i | −0.712577 | − | 0.263204i | ||||
\(143\) | − | 8.43222i | − | 0.705138i | ||||||
\(144\) | −19.4917 | + | 3.05560i | −1.62431 | + | 0.254634i | ||||
\(145\) | 1.93244 | + | 1.12638i | 0.160481 | + | 0.0935405i | ||||
\(146\) | −2.56932 | + | 6.95598i | −0.212638 | + | 0.575681i | ||||
\(147\) | 11.5732 | + | 11.5732i | 0.954542 | + | 0.954542i | ||||
\(148\) | −12.2683 | + | 0.955782i | −1.00845 | + | 0.0785648i | ||||
\(149\) | 13.3290 | + | 13.3290i | 1.09195 | + | 1.09195i | 0.995320 | + | 0.0966330i | \(0.0308073\pi\) |
0.0966330 | + | 0.995320i | \(0.469193\pi\) | |||||||
\(150\) | −11.6346 | + | 16.1635i | −0.949959 | + | 1.31974i | ||||
\(151\) | − | 5.60117i | − | 0.455817i | −0.973683 | − | 0.227909i | \(-0.926811\pi\) | ||
0.973683 | − | 0.227909i | \(-0.0731887\pi\) | |||||||
\(152\) | 2.22380 | − | 7.84935i | 0.180374 | − | 0.636666i | ||||
\(153\) | 24.3606 | 1.96944 | ||||||||
\(154\) | −4.61949 | + | 2.12740i | −0.372249 | + | 0.171431i | ||||
\(155\) | −5.77128 | − | 21.9006i | −0.463560 | − | 1.75910i | ||||
\(156\) | −9.36121 | + | 10.9430i | −0.749497 | + | 0.876145i | ||||
\(157\) | 7.11951 | + | 7.11951i | 0.568199 | + | 0.568199i | 0.931624 | − | 0.363425i | \(-0.118393\pi\) |
−0.363425 | + | 0.931624i | \(0.618393\pi\) | |||||||
\(158\) | −1.28139 | + | 3.46913i | −0.101942 | + | 0.275989i | ||||
\(159\) | −0.857542 | −0.0680075 | ||||||||
\(160\) | 0.750136 | + | 12.6268i | 0.0593035 | + | 0.998240i | ||||
\(161\) | −1.58959 | −0.125277 | ||||||||
\(162\) | 0.260517 | − | 0.705304i | 0.0204682 | − | 0.0554139i | ||||
\(163\) | 0.546047 | + | 0.546047i | 0.0427697 | + | 0.0427697i | 0.728168 | − | 0.685398i | \(-0.240372\pi\) |
−0.685398 | + | 0.728168i | \(0.740372\pi\) | |||||||
\(164\) | −13.3589 | + | 15.6162i | −1.04315 | + | 1.21942i | ||||
\(165\) | 20.0863 | − | 5.29317i | 1.56371 | − | 0.412072i | ||||
\(166\) | −10.3158 | + | 4.75069i | −0.800659 | + | 0.368725i | ||||
\(167\) | −21.3103 | −1.64904 | −0.824519 | − | 0.565834i | \(-0.808554\pi\) | ||||
−0.824519 | + | 0.565834i | \(0.808554\pi\) | |||||||
\(168\) | 8.35679 | + | 2.36756i | 0.644741 | + | 0.182661i | ||||
\(169\) | − | 6.46410i | − | 0.497239i | ||||||
\(170\) | 1.49952 | − | 15.5459i | 0.115008 | − | 1.19231i | ||||
\(171\) | 10.0601 | + | 10.0601i | 0.769312 | + | 0.769312i | ||||
\(172\) | 6.27304 | − | 0.488710i | 0.478315 | − | 0.0372638i | ||||
\(173\) | −2.64673 | − | 2.64673i | −0.201227 | − | 0.201227i | 0.599299 | − | 0.800525i | \(-0.295446\pi\) |
−0.800525 | + | 0.599299i | \(0.795446\pi\) | |||||||
\(174\) | −1.38051 | + | 3.73748i | −0.104656 | + | 0.283338i | ||||
\(175\) | 4.74363 | − | 2.68667i | 0.358585 | − | 0.203093i | ||||
\(176\) | 7.77162 | − | 10.6612i | 0.585808 | − | 0.803621i | ||||
\(177\) | 4.62364i | 0.347534i | ||||||||
\(178\) | −9.12541 | − | 3.37064i | −0.683978 | − | 0.252640i | ||||
\(179\) | −13.4747 | + | 13.4747i | −1.00715 | + | 1.00715i | −0.00717240 | + | 0.999974i | \(0.502283\pi\) |
−0.999974 | + | 0.00717240i | \(0.997717\pi\) | |||||||
\(180\) | −19.8627 | − | 9.59441i | −1.48048 | − | 0.715125i | ||||
\(181\) | −1.63553 | − | 1.63553i | −0.121568 | − | 0.121568i | 0.643706 | − | 0.765273i | \(-0.277396\pi\) |
−0.765273 | + | 0.643706i | \(0.777396\pi\) | |||||||
\(182\) | 3.58061 | − | 1.64897i | 0.265413 | − | 0.122230i | ||||
\(183\) | 13.7978 | 1.01996 | ||||||||
\(184\) | 3.60020 | − | 2.01060i | 0.265410 | − | 0.148224i | ||||
\(185\) | −11.8862 | − | 6.92820i | −0.873892 | − | 0.509372i | ||||
\(186\) | 36.6438 | − | 16.8755i | 2.68686 | − | 1.23737i | ||||
\(187\) | −11.5186 | + | 11.5186i | −0.842326 | + | 0.842326i | ||||
\(188\) | 2.72315 | − | 3.18330i | 0.198606 | − | 0.232166i | ||||
\(189\) | −4.19615 | + | 4.19615i | −0.305225 | + | 0.305225i | ||||
\(190\) | 7.03914 | − | 5.80064i | 0.510673 | − | 0.420823i | ||||
\(191\) | 5.07180 | 0.366982 | 0.183491 | − | 0.983021i | \(-0.441260\pi\) | ||||
0.183491 | + | 0.983021i | \(0.441260\pi\) | |||||||
\(192\) | −21.9215 | + | 5.20794i | −1.58205 | + | 0.375851i | ||||
\(193\) | 22.0369i | 1.58625i | 0.609058 | + | 0.793126i | \(0.291548\pi\) | ||||
−0.609058 | + | 0.793126i | \(0.708452\pi\) | |||||||
\(194\) | −5.00543 | − | 1.84885i | −0.359369 | − | 0.132740i | ||||
\(195\) | −15.5691 | + | 4.10278i | −1.11492 | + | 0.293806i | ||||
\(196\) | 8.83176 | + | 7.55512i | 0.630840 | + | 0.539651i | ||||
\(197\) | −8.06997 | + | 8.06997i | −0.574961 | + | 0.574961i | −0.933511 | − | 0.358549i | \(-0.883271\pi\) |
0.358549 | + | 0.933511i | \(0.383271\pi\) | |||||||
\(198\) | 9.62399 | + | 20.8978i | 0.683947 | + | 1.48514i | ||||
\(199\) | − | 21.8564i | − | 1.54936i | −0.632354 | − | 0.774680i | \(-0.717911\pi\) | ||
0.632354 | − | 0.774680i | \(-0.282089\pi\) | |||||||
\(200\) | −7.34538 | + | 12.0849i | −0.519397 | + | 0.854533i | ||||
\(201\) | 20.0822i | 1.41649i | ||||||||
\(202\) | 1.28493 | − | 0.591747i | 0.0904077 | − | 0.0416352i | ||||
\(203\) | 0.771212 | − | 0.771212i | 0.0541285 | − | 0.0541285i | ||||
\(204\) | 27.7361 | − | 2.16082i | 1.94192 | − | 0.151288i | ||||
\(205\) | −22.2178 | + | 5.85486i | −1.55176 | + | 0.408921i | ||||
\(206\) | −6.33676 | + | 17.1557i | −0.441503 | + | 1.19529i | ||||
\(207\) | 7.19104i | 0.499812i | ||||||||
\(208\) | −6.02386 | + | 8.26363i | −0.417679 | + | 0.572979i | ||||
\(209\) | −9.51356 | −0.658067 | ||||||||
\(210\) | 6.17564 | + | 7.49421i | 0.426160 | + | 0.517149i | ||||
\(211\) | 5.18203 | − | 5.18203i | 0.356745 | − | 0.356745i | −0.505866 | − | 0.862612i | \(-0.668827\pi\) |
0.862612 | + | 0.505866i | \(0.168827\pi\) | |||||||
\(212\) | −0.607111 | + | 0.0472978i | −0.0416966 | + | 0.00324843i | ||||
\(213\) | 12.7474 | − | 12.7474i | 0.873437 | − | 0.873437i | ||||
\(214\) | 1.30589 | + | 2.83564i | 0.0892687 | + | 0.193840i | ||||
\(215\) | 6.07765 | + | 3.54252i | 0.414492 | + | 0.241598i | ||||
\(216\) | 4.19615 | − | 14.8112i | 0.285512 | − | 1.00777i | ||||
\(217\) | −11.0435 | −0.749679 | ||||||||
\(218\) | −5.96734 | − | 12.9576i | −0.404159 | − | 0.877601i | ||||
\(219\) | −10.4425 | − | 10.4425i | −0.705637 | − | 0.705637i | ||||
\(220\) | 13.9284 | − | 4.85524i | 0.939056 | − | 0.327340i | ||||
\(221\) | 8.92820 | − | 8.92820i | 0.600576 | − | 0.600576i | ||||
\(222\) | 8.49134 | − | 22.9888i | 0.569901 | − | 1.54291i | ||||
\(223\) | − | 18.7097i | − | 1.25289i | −0.779465 | − | 0.626446i | \(-0.784509\pi\) | ||
0.779465 | − | 0.626446i | \(-0.215491\pi\) | |||||||
\(224\) | 6.04691 | + | 1.21523i | 0.404026 | + | 0.0811962i | ||||
\(225\) | −12.1540 | − | 21.4594i | −0.810269 | − | 1.43062i | ||||
\(226\) | 12.2572 | + | 4.52742i | 0.815336 | + | 0.301160i | ||||
\(227\) | 8.68435 | + | 8.68435i | 0.576401 | + | 0.576401i | 0.933910 | − | 0.357509i | \(-0.116374\pi\) |
−0.357509 | + | 0.933910i | \(0.616374\pi\) | |||||||
\(228\) | 12.3464 | + | 10.5617i | 0.817658 | + | 0.699464i | ||||
\(229\) | −4.22936 | − | 4.22936i | −0.279484 | − | 0.279484i | 0.553419 | − | 0.832903i | \(-0.313323\pi\) |
−0.832903 | + | 0.553419i | \(0.813323\pi\) | |||||||
\(230\) | 4.58901 | + | 0.442646i | 0.302590 | + | 0.0291872i | ||||
\(231\) | − | 10.1286i | − | 0.666413i | ||||||
\(232\) | −0.771212 | + | 2.72215i | −0.0506326 | + | 0.178718i | ||||
\(233\) | −19.7054 | −1.29094 | −0.645472 | − | 0.763784i | \(-0.723339\pi\) | ||||
−0.645472 | + | 0.763784i | \(0.723339\pi\) | |||||||
\(234\) | −7.45965 | − | 16.1981i | −0.487652 | − | 1.05890i | ||||
\(235\) | 4.52900 | − | 1.19349i | 0.295439 | − | 0.0778547i | ||||
\(236\) | 0.255017 | + | 3.27338i | 0.0166002 | + | 0.213079i | ||||
\(237\) | −5.20794 | − | 5.20794i | −0.338292 | − | 0.338292i | ||||
\(238\) | −7.14374 | − | 2.63867i | −0.463060 | − | 0.171040i | ||||
\(239\) | −0.957886 | −0.0619605 | −0.0309803 | − | 0.999520i | \(-0.509863\pi\) | ||||
−0.0309803 | + | 0.999520i | \(0.509863\pi\) | |||||||
\(240\) | −23.4660 | − | 9.16200i | −1.51472 | − | 0.591404i | ||||
\(241\) | 10.4599 | 0.673779 | 0.336889 | − | 0.941544i | \(-0.390625\pi\) | ||||
0.336889 | + | 0.941544i | \(0.390625\pi\) | |||||||
\(242\) | 0.160855 | + | 0.0594147i | 0.0103401 | + | 0.00381932i | ||||
\(243\) | −10.4868 | − | 10.4868i | −0.672727 | − | 0.672727i | ||||
\(244\) | 9.76836 | − | 0.761018i | 0.625355 | − | 0.0487192i | ||||
\(245\) | 3.31122 | + | 12.5652i | 0.211546 | + | 0.802764i | ||||
\(246\) | −17.1199 | − | 37.1746i | −1.09153 | − | 2.37016i | ||||
\(247\) | 7.37405 | 0.469200 | ||||||||
\(248\) | 25.0118 | − | 13.9684i | 1.58825 | − | 0.886992i | ||||
\(249\) | − | 22.6181i | − | 1.43337i | ||||||
\(250\) | −14.4426 | + | 6.43524i | −0.913428 | + | 0.407000i | ||||
\(251\) | 7.29013 | + | 7.29013i | 0.460149 | + | 0.460149i | 0.898704 | − | 0.438555i | \(-0.144510\pi\) |
−0.438555 | + | 0.898704i | \(0.644510\pi\) | |||||||
\(252\) | −6.99189 | + | 8.17335i | −0.440447 | + | 0.514873i | ||||
\(253\) | −3.40020 | − | 3.40020i | −0.213769 | − | 0.213769i | ||||
\(254\) | 2.64802 | + | 0.978096i | 0.166152 | + | 0.0613712i | ||||
\(255\) | 26.8722 | + | 15.6632i | 1.68280 | + | 0.980868i | ||||
\(256\) | −15.2325 | + | 4.89613i | −0.952029 | + | 0.306008i | ||||
\(257\) | − | 20.2830i | − | 1.26522i | −0.774472 | − | 0.632608i | \(-0.781984\pi\) | ||
0.774472 | − | 0.632608i | \(-0.218016\pi\) | |||||||
\(258\) | −4.34179 | + | 11.7546i | −0.270308 | + | 0.731810i | ||||
\(259\) | −4.74363 | + | 4.74363i | −0.294755 | + | 0.294755i | ||||
\(260\) | −10.7961 | + | 3.76335i | −0.669544 | + | 0.233393i | ||||
\(261\) | −3.48883 | − | 3.48883i | −0.215953 | − | 0.215953i | ||||
\(262\) | 9.44474 | + | 20.5085i | 0.583498 | + | 1.26702i | ||||
\(263\) | −20.2075 | −1.24605 | −0.623025 | − | 0.782202i | \(-0.714096\pi\) | ||||
−0.623025 | + | 0.782202i | \(0.714096\pi\) | |||||||
\(264\) | 12.8112 | + | 22.9398i | 0.788474 | + | 1.41185i | ||||
\(265\) | −0.588201 | − | 0.342849i | −0.0361329 | − | 0.0210611i | ||||
\(266\) | −1.86043 | − | 4.03978i | −0.114070 | − | 0.247695i | ||||
\(267\) | 13.6993 | − | 13.6993i | 0.838382 | − | 0.838382i | ||||
\(268\) | 1.10764 | + | 14.2175i | 0.0676598 | + | 0.868475i | ||||
\(269\) | 16.2657 | − | 16.2657i | 0.991735 | − | 0.991735i | −0.00823090 | − | 0.999966i | \(-0.502620\pi\) |
0.999966 | + | 0.00823090i | \(0.00262000\pi\) | |||||||
\(270\) | 13.2824 | − | 10.9454i | 0.808340 | − | 0.666117i | ||||
\(271\) | −24.4714 | −1.48653 | −0.743267 | − | 0.668995i | \(-0.766725\pi\) | ||||
−0.743267 | + | 0.668995i | \(0.766725\pi\) | |||||||
\(272\) | 19.5171 | − | 3.05958i | 1.18340 | − | 0.185514i | ||||
\(273\) | 7.85077i | 0.475150i | ||||||||
\(274\) | −7.81217 | + | 21.1501i | −0.471950 | + | 1.27772i | ||||
\(275\) | 15.8937 | + | 4.39991i | 0.958426 | + | 0.265324i | ||||
\(276\) | 0.637855 | + | 8.18746i | 0.0383944 | + | 0.492827i | ||||
\(277\) | 13.7978 | − | 13.7978i | 0.829028 | − | 0.829028i | −0.158354 | − | 0.987382i | \(-0.550619\pi\) |
0.987382 | + | 0.158354i | \(0.0506188\pi\) | |||||||
\(278\) | −6.89651 | + | 3.17603i | −0.413625 | + | 0.190486i | ||||
\(279\) | 49.9587i | 2.99095i | ||||||||
\(280\) | 4.78549 | + | 4.96503i | 0.285988 | + | 0.296717i | ||||
\(281\) | 16.5673i | 0.988319i | 0.869371 | + | 0.494160i | \(0.164524\pi\) | ||||
−0.869371 | + | 0.494160i | \(0.835476\pi\) | |||||||
\(282\) | 3.48982 | + | 7.57788i | 0.207816 | + | 0.451256i | ||||
\(283\) | 13.6823 | − | 13.6823i | 0.813330 | − | 0.813330i | −0.171802 | − | 0.985132i | \(-0.554959\pi\) |
0.985132 | + | 0.171802i | \(0.0549589\pi\) | |||||||
\(284\) | 8.32164 | − | 9.72781i | 0.493799 | − | 0.577239i | ||||
\(285\) | 4.62892 | + | 17.5656i | 0.274193 | + | 1.04050i | ||||
\(286\) | 11.1863 | + | 4.13186i | 0.661458 | + | 0.244322i | ||||
\(287\) | 11.2034i | 0.661317i | ||||||||
\(288\) | 5.49750 | − | 27.3552i | 0.323943 | − | 1.61192i | ||||
\(289\) | −7.39230 | −0.434841 | ||||||||
\(290\) | −2.44117 | + | 2.01166i | −0.143351 | + | 0.118129i | ||||
\(291\) | 7.51427 | − | 7.51427i | 0.440495 | − | 0.440495i | ||||
\(292\) | −7.96888 | − | 6.81697i | −0.466343 | − | 0.398933i | ||||
\(293\) | −23.0518 | + | 23.0518i | −1.34670 | + | 1.34670i | −0.457482 | + | 0.889219i | \(0.651249\pi\) |
−0.889219 | + | 0.457482i | \(0.848751\pi\) | |||||||
\(294\) | −21.0241 | + | 9.68216i | −1.22615 | + | 0.564675i | ||||
\(295\) | −1.84855 | + | 3.17142i | −0.107627 | + | 0.184647i | ||||
\(296\) | 4.74363 | − | 16.7436i | 0.275718 | − | 0.973204i | ||||
\(297\) | −17.9514 | −1.04165 | ||||||||
\(298\) | −24.2137 | + | 11.1511i | −1.40266 | + | 0.645963i | ||||
\(299\) | 2.63553 | + | 2.63553i | 0.152416 | + | 0.152416i | ||||
\(300\) | −15.7416 | − | 23.3548i | −0.908843 | − | 1.34839i | ||||
\(301\) | 2.42551 | − | 2.42551i | 0.139804 | − | 0.139804i | ||||
\(302\) | 7.43057 | + | 2.74462i | 0.427581 | + | 0.157935i | ||||
\(303\) | 2.81732i | 0.161851i | ||||||||
\(304\) | 9.32334 | + | 6.79635i | 0.534730 | + | 0.389797i | ||||
\(305\) | 9.46410 | + | 5.51641i | 0.541913 | + | 0.315869i | ||||
\(306\) | −11.9369 | + | 32.3170i | −0.682387 | + | 1.84744i | ||||
\(307\) | −23.3518 | − | 23.3518i | −1.33276 | − | 1.33276i | −0.902892 | − | 0.429867i | \(-0.858560\pi\) |
−0.429867 | − | 0.902892i | \(-0.641440\pi\) | |||||||
\(308\) | −0.558644 | − | 7.17070i | −0.0318317 | − | 0.408589i | ||||
\(309\) | −25.7545 | − | 25.7545i | −1.46512 | − | 1.46512i | ||||
\(310\) | 31.8815 | + | 3.07522i | 1.81075 | + | 0.174661i | ||||
\(311\) | 17.8004i | 1.00937i | 0.863304 | + | 0.504685i | \(0.168391\pi\) | ||||
−0.863304 | + | 0.504685i | \(0.831609\pi\) | |||||||
\(312\) | −9.93008 | − | 17.7809i | −0.562180 | − | 1.00664i | ||||
\(313\) | 23.7909 | 1.34474 | 0.672370 | − | 0.740216i | \(-0.265277\pi\) | ||||
0.672370 | + | 0.740216i | \(0.265277\pi\) | |||||||
\(314\) | −12.9334 | + | 5.95619i | −0.729875 | + | 0.336127i | ||||
\(315\) | −11.6285 | + | 3.06437i | −0.655193 | + | 0.172658i | ||||
\(316\) | −3.97429 | − | 3.39980i | −0.223571 | − | 0.191254i | ||||
\(317\) | 13.6940 | + | 13.6940i | 0.769129 | + | 0.769129i | 0.977953 | − | 0.208824i | \(-0.0669635\pi\) |
−0.208824 | + | 0.977953i | \(0.566964\pi\) | |||||||
\(318\) | 0.420202 | − | 1.13762i | 0.0235638 | − | 0.0637948i | ||||
\(319\) | 3.29930 | 0.184725 | ||||||||
\(320\) | −17.1185 | − | 5.19212i | −0.956951 | − | 0.290248i | ||||
\(321\) | −6.21736 | −0.347019 | ||||||||
\(322\) | 0.778913 | − | 2.10877i | 0.0434071 | − | 0.117517i | ||||
\(323\) | −10.0731 | − | 10.0731i | −0.560485 | − | 0.560485i | ||||
\(324\) | 0.808008 | + | 0.691209i | 0.0448893 | + | 0.0384005i | ||||
\(325\) | −12.3194 | − | 3.41041i | −0.683355 | − | 0.189176i | ||||
\(326\) | −0.991959 | + | 0.456824i | −0.0549395 | + | 0.0253011i | ||||
\(327\) | 28.4106 | 1.57111 | ||||||||
\(328\) | −14.1707 | − | 25.3741i | −0.782445 | − | 1.40105i | ||||
\(329\) | − | 2.28377i | − | 0.125908i | ||||||
\(330\) | −2.82046 | + | 29.2403i | −0.155261 | + | 1.60963i | ||||
\(331\) | 1.96043 | + | 1.96043i | 0.107755 | + | 0.107755i | 0.758929 | − | 0.651174i | \(-0.225723\pi\) |
−0.651174 | + | 0.758929i | \(0.725723\pi\) | |||||||
\(332\) | −1.24751 | − | 16.0129i | −0.0684658 | − | 0.878821i | ||||
\(333\) | 21.4594 | + | 21.4594i | 1.17597 | + | 1.17597i | ||||
\(334\) | 10.4422 | − | 28.2704i | 0.571372 | − | 1.54689i | ||||
\(335\) | −8.02897 | + | 13.7747i | −0.438669 | + | 0.752593i | ||||
\(336\) | −7.23572 | + | 9.92608i | −0.394741 | + | 0.541512i | ||||
\(337\) | 18.5606i | 1.01106i | 0.862809 | + | 0.505530i | \(0.168703\pi\) | ||||
−0.862809 | + | 0.505530i | \(0.831297\pi\) | |||||||
\(338\) | 8.57534 | + | 3.16746i | 0.466437 | + | 0.172287i | ||||
\(339\) | −18.4008 | + | 18.4008i | −0.999393 | + | 0.999393i | ||||
\(340\) | 19.8885 | + | 9.60688i | 1.07861 | + | 0.521006i | ||||
\(341\) | −23.6224 | − | 23.6224i | −1.27922 | − | 1.27922i | ||||
\(342\) | −18.2753 | + | 8.41626i | −0.988214 | + | 0.455099i | ||||
\(343\) | 13.9684 | 0.754221 | ||||||||
\(344\) | −2.42551 | + | 8.56134i | −0.130775 | + | 0.461597i | ||||
\(345\) | −4.62364 | + | 7.93244i | −0.248928 | + | 0.427068i | ||||
\(346\) | 4.80809 | − | 2.21425i | 0.258484 | − | 0.119039i | ||||
\(347\) | 8.01007 | − | 8.01007i | 0.430003 | − | 0.430003i | −0.458626 | − | 0.888629i | \(-0.651658\pi\) |
0.888629 | + | 0.458626i | \(0.151658\pi\) | |||||||
\(348\) | −4.28172 | − | 3.66279i | −0.229524 | − | 0.196346i | ||||
\(349\) | 19.2579 | − | 19.2579i | 1.03085 | − | 1.03085i | 0.0313434 | − | 0.999509i | \(-0.490021\pi\) |
0.999509 | − | 0.0313434i | \(-0.00997854\pi\) | |||||||
\(350\) | 1.23975 | + | 7.60944i | 0.0662674 | + | 0.406742i | ||||
\(351\) | 13.9143 | 0.742693 | ||||||||
\(352\) | 10.3351 | + | 15.5340i | 0.550865 | + | 0.827965i | ||||
\(353\) | 6.05459i | 0.322253i | 0.986934 | + | 0.161127i | \(0.0515127\pi\) | ||||
−0.986934 | + | 0.161127i | \(0.948487\pi\) | |||||||
\(354\) | −6.13376 | − | 2.26562i | −0.326006 | − | 0.120416i | ||||
\(355\) | 13.8401 | − | 3.64717i | 0.734556 | − | 0.193572i | ||||
\(356\) | 8.94304 | − | 10.4542i | 0.473980 | − | 0.554072i | ||||
\(357\) | 10.7244 | − | 10.7244i | 0.567593 | − | 0.567593i | ||||
\(358\) | −11.2730 | − | 24.4784i | −0.595794 | − | 1.29372i | ||||
\(359\) | − | 8.74167i | − | 0.461368i | −0.973029 | − | 0.230684i | \(-0.925904\pi\) | ||
0.973029 | − | 0.230684i | \(-0.0740964\pi\) | |||||||
\(360\) | 22.4609 | − | 21.6487i | 1.18379 | − | 1.14099i | ||||
\(361\) | 10.6803i | 0.562122i | ||||||||
\(362\) | 2.97112 | − | 1.36828i | 0.156159 | − | 0.0719154i | ||||
\(363\) | −0.241479 | + | 0.241479i | −0.0126744 | + | 0.0126744i | ||||
\(364\) | 0.433010 | + | 5.55808i | 0.0226959 | + | 0.291323i | ||||
\(365\) | −2.98770 | − | 11.3376i | −0.156384 | − | 0.593437i | ||||
\(366\) | −6.76102 | + | 18.3043i | −0.353404 | + | 0.956779i | ||||
\(367\) | 22.7558i | 1.18784i | 0.804524 | + | 0.593920i | \(0.202421\pi\) | ||||
−0.804524 | + | 0.593920i | \(0.797579\pi\) | |||||||
\(368\) | 0.903160 | + | 5.76126i | 0.0470805 | + | 0.300327i | ||||
\(369\) | 50.6823 | 2.63841 | ||||||||
\(370\) | 15.0154 | − | 12.3735i | 0.780611 | − | 0.643267i | ||||
\(371\) | −0.234743 | + | 0.234743i | −0.0121873 | + | 0.0121873i | ||||
\(372\) | 4.43141 | + | 56.8812i | 0.229758 | + | 2.94915i | ||||
\(373\) | 19.1172 | − | 19.1172i | 0.989851 | − | 0.989851i | −0.0100979 | − | 0.999949i | \(-0.503214\pi\) |
0.999949 | + | 0.0100979i | \(0.00321433\pi\) | |||||||
\(374\) | −9.63650 | − | 20.9249i | −0.498292 | − | 1.08200i | ||||
\(375\) | 0.390645 | − | 31.4865i | 0.0201728 | − | 1.62596i | ||||
\(376\) | 2.88863 | + | 5.17240i | 0.148970 | + | 0.266746i | ||||
\(377\) | −2.55732 | −0.131709 | ||||||||
\(378\) | −3.51051 | − | 7.62280i | −0.180561 | − | 0.392075i | ||||
\(379\) | 19.2110 | + | 19.2110i | 0.986802 | + | 0.986802i | 0.999914 | − | 0.0131116i | \(-0.00417366\pi\) |
−0.0131116 | + | 0.999914i | \(0.504174\pi\) | |||||||
\(380\) | 4.24595 | + | 12.1805i | 0.217813 | + | 0.624849i | ||||
\(381\) | −3.97527 | + | 3.97527i | −0.203659 | + | 0.203659i | ||||
\(382\) | −2.48522 | + | 6.72829i | −0.127155 | + | 0.344249i | ||||
\(383\) | 20.7721i | 1.06140i | 0.847558 | + | 0.530702i | \(0.178072\pi\) | ||||
−0.847558 | + | 0.530702i | \(0.821928\pi\) | |||||||
\(384\) | 3.83281 | − | 31.6332i | 0.195592 | − | 1.61428i | ||||
\(385\) | 4.04946 | − | 6.94736i | 0.206379 | − | 0.354070i | ||||
\(386\) | −29.2344 | − | 10.7983i | −1.48799 | − | 0.549617i | ||||
\(387\) | −10.9726 | − | 10.9726i | −0.557768 | − | 0.557768i | ||||
\(388\) | 4.90540 | − | 5.73430i | 0.249034 | − | 0.291115i | ||||
\(389\) | 22.9514 | + | 22.9514i | 1.16368 | + | 1.16368i | 0.983664 | + | 0.180017i | \(0.0576152\pi\) |
0.180017 | + | 0.983664i | \(0.442385\pi\) | |||||||
\(390\) | 2.18616 | − | 22.6644i | 0.110701 | − | 1.14766i | ||||
\(391\) | − | 7.20039i | − | 0.364139i | ||||||
\(392\) | −14.3503 | + | 8.01423i | −0.724800 | + | 0.404780i | ||||
\(393\) | −44.9666 | −2.26826 | ||||||||
\(394\) | −6.75135 | − | 14.6600i | −0.340128 | − | 0.738562i | ||||
\(395\) | −1.49005 | − | 5.65437i | −0.0749725 | − | 0.284502i | ||||
\(396\) | −32.4390 | + | 2.52721i | −1.63012 | + | 0.126997i | ||||
\(397\) | −19.9562 | − | 19.9562i | −1.00157 | − | 1.00157i | −0.999999 | − | 0.00157311i | \(-0.999499\pi\) |
−0.00157311 | − | 0.999999i | \(-0.500501\pi\) | |||||||
\(398\) | 28.9949 | + | 10.7098i | 1.45338 | + | 0.536834i | ||||
\(399\) | 8.85754 | 0.443432 | ||||||||
\(400\) | −12.4327 | − | 15.6662i | −0.621634 | − | 0.783308i | ||||
\(401\) | −35.5367 | −1.77462 | −0.887310 | − | 0.461174i | \(-0.847428\pi\) | ||||
−0.887310 | + | 0.461174i | \(0.847428\pi\) | |||||||
\(402\) | −26.6413 | − | 9.84046i | −1.32875 | − | 0.490797i | ||||
\(403\) | 18.3099 | + | 18.3099i | 0.912083 | + | 0.912083i | ||||
\(404\) | 0.155390 | + | 1.99457i | 0.00773092 | + | 0.0992334i | ||||
\(405\) | 0.302940 | + | 1.14958i | 0.0150532 | + | 0.0571231i | ||||
\(406\) | 0.645198 | + | 1.40100i | 0.0320206 | + | 0.0695303i | ||||
\(407\) | −20.2936 | −1.00592 | ||||||||
\(408\) | −10.7244 | + | 37.8538i | −0.530935 | + | 1.87404i | ||||
\(409\) | 6.50932i | 0.321865i | 0.986965 | + | 0.160933i | \(0.0514502\pi\) | ||||
−0.986965 | + | 0.160933i | \(0.948550\pi\) | |||||||
\(410\) | 3.11976 | − | 32.3432i | 0.154074 | − | 1.59732i | ||||
\(411\) | −31.7510 | − | 31.7510i | −1.56616 | − | 1.56616i | ||||
\(412\) | −19.6538 | − | 16.8128i | −0.968274 | − | 0.828308i | ||||
\(413\) | 1.26567 | + | 1.26567i | 0.0622798 | + | 0.0622798i | ||||
\(414\) | −9.53970 | − | 3.52367i | −0.468851 | − | 0.173179i | ||||
\(415\) | 9.04283 | − | 15.5141i | 0.443895 | − | 0.761558i | ||||
\(416\) | −8.01086 | − | 12.0405i | −0.392765 | − | 0.590336i | ||||
\(417\) | − | 15.1211i | − | 0.740485i | ||||||
\(418\) | 4.66172 | − | 12.6208i | 0.228012 | − | 0.617302i | ||||
\(419\) | 10.8597 | − | 10.8597i | 0.530529 | − | 0.530529i | −0.390200 | − | 0.920730i | \(-0.627594\pi\) |
0.920730 | + | 0.390200i | \(0.127594\pi\) | |||||||
\(420\) | −12.9680 | + | 4.52044i | −0.632773 | + | 0.220575i | ||||
\(421\) | 17.0865 | + | 17.0865i | 0.832744 | + | 0.832744i | 0.987891 | − | 0.155147i | \(-0.0495852\pi\) |
−0.155147 | + | 0.987891i | \(0.549585\pi\) | |||||||
\(422\) | 4.33529 | + | 9.41376i | 0.211039 | + | 0.458255i | ||||
\(423\) | −10.3314 | −0.502328 | ||||||||
\(424\) | 0.234743 | − | 0.828575i | 0.0114001 | − | 0.0402392i | ||||
\(425\) | 12.1698 | + | 21.4873i | 0.590324 | + | 1.04229i | ||||
\(426\) | 10.6645 | + | 23.1571i | 0.516696 | + | 1.12197i | ||||
\(427\) | 3.77700 | − | 3.77700i | 0.182782 | − | 0.182782i | ||||
\(428\) | −4.40168 | + | 0.342919i | −0.212763 | + | 0.0165756i | ||||
\(429\) | −16.7931 | + | 16.7931i | −0.810778 | + | 0.810778i | ||||
\(430\) | −7.67764 | + | 6.32680i | −0.370249 | + | 0.305106i | ||||
\(431\) | 24.6877 | 1.18916 | 0.594581 | − | 0.804036i | \(-0.297318\pi\) | ||||
0.594581 | + | 0.804036i | \(0.297318\pi\) | |||||||
\(432\) | 17.5925 | + | 12.8243i | 0.846420 | + | 0.617007i | ||||
\(433\) | − | 34.7872i | − | 1.67176i | −0.548909 | − | 0.835882i | \(-0.684957\pi\) | ||
0.548909 | − | 0.835882i | \(-0.315043\pi\) | |||||||
\(434\) | 5.41139 | − | 14.6504i | 0.259755 | − | 0.703240i | ||||
\(435\) | −1.60531 | − | 6.09175i | −0.0769687 | − | 0.292077i | ||||
\(436\) | 20.1138 | − | 1.56699i | 0.963274 | − | 0.0750452i | ||||
\(437\) | 2.97350 | − | 2.97350i | 0.142242 | − | 0.142242i | ||||
\(438\) | 18.9700 | − | 8.73619i | 0.906421 | − | 0.417431i | ||||
\(439\) | 1.12777i | 0.0538257i | 0.999638 | + | 0.0269128i | \(0.00856766\pi\) | ||||
−0.999638 | + | 0.0269128i | \(0.991432\pi\) | |||||||
\(440\) | −0.384037 | + | 20.8567i | −0.0183082 | + | 0.994305i | ||||
\(441\) | − | 28.6634i | − | 1.36492i | ||||||
\(442\) | 7.46935 | + | 16.2191i | 0.355281 | + | 0.771465i | ||||
\(443\) | −1.20401 | + | 1.20401i | −0.0572043 | + | 0.0572043i | −0.735130 | − | 0.677926i | \(-0.762879\pi\) |
0.677926 | + | 0.735130i | \(0.262879\pi\) | |||||||
\(444\) | 26.3363 | + | 22.5294i | 1.24987 | + | 1.06920i | ||||
\(445\) | 14.8736 | − | 3.91951i | 0.705075 | − | 0.185803i | ||||
\(446\) | 24.8204 | + | 9.16788i | 1.17528 | + | 0.434112i | ||||
\(447\) | − | 53.0903i | − | 2.51109i | ||||||
\(448\) | −4.57517 | + | 7.42642i | −0.216157 | + | 0.350865i | ||||
\(449\) | −18.1896 | −0.858422 | −0.429211 | − | 0.903204i | \(-0.641208\pi\) | ||||
−0.429211 | + | 0.903204i | \(0.641208\pi\) | |||||||
\(450\) | 34.4238 | − | 5.60841i | 1.62275 | − | 0.264383i | ||||
\(451\) | −23.9645 | + | 23.9645i | −1.12844 | + | 1.12844i | ||||
\(452\) | −12.0122 | + | 14.0420i | −0.565008 | + | 0.660482i | ||||
\(453\) | −11.1549 | + | 11.1549i | −0.524105 | + | 0.524105i | ||||
\(454\) | −15.7761 | + | 7.26534i | −0.740411 | + | 0.340979i | ||||
\(455\) | −3.13877 | + | 5.38496i | −0.147148 | + | 0.252451i | ||||
\(456\) | −20.0610 | + | 11.2035i | −0.939444 | + | 0.524652i | ||||
\(457\) | 4.25060 | 0.198835 | 0.0994174 | − | 0.995046i | \(-0.468302\pi\) | ||||
0.0994174 | + | 0.995046i | \(0.468302\pi\) | |||||||
\(458\) | 7.68312 | − | 3.53829i | 0.359009 | − | 0.165333i | ||||
\(459\) | −19.0073 | − | 19.0073i | −0.887187 | − | 0.887187i | ||||
\(460\) | −2.83587 | + | 5.87092i | −0.132223 | + | 0.273733i | ||||
\(461\) | −25.7081 | + | 25.7081i | −1.19735 | + | 1.19735i | −0.222390 | + | 0.974958i | \(0.571386\pi\) |
−0.974958 | + | 0.222390i | \(0.928614\pi\) | |||||||
\(462\) | 13.4367 | + | 4.96309i | 0.625131 | + | 0.230904i | ||||
\(463\) | 32.8289i | 1.52569i | 0.646582 | + | 0.762844i | \(0.276198\pi\) | ||||
−0.646582 | + | 0.762844i | \(0.723802\pi\) | |||||||
\(464\) | −3.23334 | − | 2.35697i | −0.150104 | − | 0.109420i | ||||
\(465\) | −32.1221 | + | 55.1095i | −1.48963 | + | 2.55564i | ||||
\(466\) | 9.65580 | − | 26.1414i | 0.447296 | − | 1.21098i | ||||
\(467\) | 17.1611 | + | 17.1611i | 0.794123 | + | 0.794123i | 0.982162 | − | 0.188039i | \(-0.0602130\pi\) |
−0.188039 | + | 0.982162i | \(0.560213\pi\) | |||||||
\(468\) | 25.1438 | − | 1.95886i | 1.16227 | − | 0.0905484i | ||||
\(469\) | 5.49731 | + | 5.49731i | 0.253842 | + | 0.253842i | ||||
\(470\) | −0.635949 | + | 6.59303i | −0.0293342 | + | 0.304114i | ||||
\(471\) | − | 28.3575i | − | 1.30665i | ||||||
\(472\) | −4.46746 | − | 1.26567i | −0.205631 | − | 0.0582574i | ||||
\(473\) | 10.3765 | 0.477112 | ||||||||
\(474\) | 9.46084 | − | 4.35697i | 0.434551 | − | 0.200122i | ||||
\(475\) | −3.84776 | + | 13.8992i | −0.176547 | + | 0.637738i | ||||
\(476\) | 7.00098 | − | 8.18398i | 0.320889 | − | 0.375112i | ||||
\(477\) | 1.06194 | + | 1.06194i | 0.0486228 | + | 0.0486228i | ||||
\(478\) | 0.469372 | − | 1.27074i | 0.0214686 | − | 0.0581223i | ||||
\(479\) | −25.2711 | −1.15466 | −0.577332 | − | 0.816510i | \(-0.695906\pi\) | ||||
−0.577332 | + | 0.816510i | \(0.695906\pi\) | |||||||
\(480\) | 23.6529 | − | 26.6408i | 1.07960 | − | 1.21598i | ||||
\(481\) | 15.7298 | 0.717216 | ||||||||
\(482\) | −5.12541 | + | 13.8762i | −0.233456 | + | 0.632041i | ||||
\(483\) | 3.16573 | + | 3.16573i | 0.144046 | + | 0.144046i | ||||
\(484\) | −0.157640 | + | 0.184278i | −0.00716546 | + | 0.00837626i | ||||
\(485\) | 8.15839 | − | 2.14991i | 0.370454 | − | 0.0976226i | ||||
\(486\) | 19.0505 | − | 8.77325i | 0.864146 | − | 0.397963i | ||||
\(487\) | −12.9056 | −0.584807 | −0.292404 | − | 0.956295i | \(-0.594455\pi\) | ||||
−0.292404 | + | 0.956295i | \(0.594455\pi\) | |||||||
\(488\) | −3.77700 | + | 13.3317i | −0.170977 | + | 0.603498i | ||||
\(489\) | − | 2.17495i | − | 0.0983545i | ||||||
\(490\) | −18.2917 | − | 1.76438i | −0.826335 | − | 0.0797065i | ||||
\(491\) | 10.3909 | + | 10.3909i | 0.468935 | + | 0.468935i | 0.901569 | − | 0.432635i | \(-0.142416\pi\) |
−0.432635 | + | 0.901569i | \(0.642416\pi\) | |||||||
\(492\) | 57.7050 | − | 4.49559i | 2.60154 | − | 0.202677i | ||||
\(493\) | 3.49337 | + | 3.49337i | 0.157333 | + | 0.157333i | ||||
\(494\) | −3.61334 | + | 9.78249i | −0.162572 | + | 0.440135i | ||||
\(495\) | −31.4286 | − | 18.3190i | −1.41261 | − | 0.823379i | ||||
\(496\) | 6.27458 | + | 40.0255i | 0.281737 | + | 1.79720i | ||||
\(497\) | − | 6.97894i | − | 0.313048i | ||||||
\(498\) | 30.0054 | + | 11.0831i | 1.34458 | + | 0.496644i | ||||
\(499\) | −19.8755 | + | 19.8755i | −0.889749 | + | 0.889749i | −0.994499 | − | 0.104750i | \(-0.966596\pi\) |
0.104750 | + | 0.994499i | \(0.466596\pi\) | |||||||
\(500\) | −1.46008 | − | 22.3130i | −0.0652968 | − | 0.997866i | ||||
\(501\) | 42.4402 | + | 42.4402i | 1.89609 | + | 1.89609i | ||||
\(502\) | −13.2434 | + | 6.09894i | −0.591081 | + | 0.272209i | ||||
\(503\) | −12.8059 | −0.570989 | −0.285494 | − | 0.958380i | \(-0.592158\pi\) | ||||
−0.285494 | + | 0.958380i | \(0.592158\pi\) | |||||||
\(504\) | −7.41677 | − | 13.2805i | −0.330369 | − | 0.591561i | ||||
\(505\) | −1.12638 | + | 1.93244i | −0.0501231 | + | 0.0859925i | ||||
\(506\) | 6.17686 | − | 2.84461i | 0.274595 | − | 0.126458i | ||||
\(507\) | −12.8735 | + | 12.8735i | −0.571732 | + | 0.571732i | ||||
\(508\) | −2.59510 | + | 3.03362i | −0.115139 | + | 0.134595i | ||||
\(509\) | 5.77064 | − | 5.77064i | 0.255779 | − | 0.255779i | −0.567556 | − | 0.823335i | \(-0.692111\pi\) |
0.823335 | + | 0.567556i | \(0.192111\pi\) | |||||||
\(510\) | −33.9466 | + | 27.9739i | −1.50318 | + | 1.23870i | ||||
\(511\) | −5.71704 | −0.252907 | ||||||||
\(512\) | 0.968769 | − | 22.6067i | 0.0428139 | − | 0.999083i | ||||
\(513\) | − | 15.6987i | − | 0.693114i | ||||||
\(514\) | 26.9076 | + | 9.93881i | 1.18684 | + | 0.438382i | ||||
\(515\) | −7.36864 | − | 27.9622i | −0.324701 | − | 1.23216i | ||||
\(516\) | −13.4663 | − | 11.5197i | −0.592820 | − | 0.507127i | ||||
\(517\) | 4.88507 | − | 4.88507i | 0.214845 | − | 0.214845i | ||||
\(518\) | −3.96853 | − | 8.61736i | −0.174367 | − | 0.378625i | ||||
\(519\) | 10.5421i | 0.462747i | ||||||||
\(520\) | 0.297671 | − | 16.1662i | 0.0130537 | − | 0.708937i | ||||
\(521\) | − | 18.9514i | − | 0.830274i | −0.909759 | − | 0.415137i | \(-0.863734\pi\) | ||
0.909759 | − | 0.415137i | \(-0.136266\pi\) | |||||||
\(522\) | 6.33787 | − | 2.91876i | 0.277401 | − | 0.127751i | ||||
\(523\) | −7.32161 | + | 7.32161i | −0.320152 | + | 0.320152i | −0.848825 | − | 0.528674i | \(-0.822690\pi\) |
0.528674 | + | 0.848825i | \(0.322690\pi\) | |||||||
\(524\) | −31.8348 | + | 2.48014i | −1.39071 | + | 0.108345i | ||||
\(525\) | −14.7977 | − | 4.09651i | −0.645826 | − | 0.178786i | ||||
\(526\) | 9.90185 | − | 26.8075i | 0.431741 | − | 1.16886i | ||||
\(527\) | − | 50.0237i | − | 2.17907i | ||||||
\(528\) | −36.7097 | + | 5.75477i | −1.59759 | + | 0.250444i | ||||
\(529\) | −20.8745 | −0.907587 | ||||||||
\(530\) | 0.743050 | − | 0.612314i | 0.0322760 | − | 0.0265972i | ||||
\(531\) | 5.72569 | − | 5.72569i | 0.248474 | − | 0.248474i | ||||
\(532\) | 6.27084 | − | 0.488539i | 0.271875 | − | 0.0211808i | ||||
\(533\) | 18.5751 | − | 18.5751i | 0.804578 | − | 0.804578i | ||||
\(534\) | 11.4608 | + | 24.8864i | 0.495959 | + | 1.07694i | ||||
\(535\) | −4.26458 | − | 2.48573i | −0.184374 | − | 0.107467i | ||||
\(536\) | −19.4039 | − | 5.49731i | −0.838120 | − | 0.237448i | ||||
\(537\) | 53.6708 | 2.31606 | ||||||||
\(538\) | 13.6079 | + | 29.5485i | 0.586677 | + | 1.27393i | ||||
\(539\) | 13.5531 | + | 13.5531i | 0.583774 | + | 0.583774i | ||||
\(540\) | 8.01182 | + | 22.9839i | 0.344774 | + | 0.989068i | ||||
\(541\) | −6.08576 | + | 6.08576i | −0.261647 | + | 0.261647i | −0.825723 | − | 0.564076i | \(-0.809233\pi\) |
0.564076 | + | 0.825723i | \(0.309233\pi\) | |||||||
\(542\) | 11.9912 | − | 32.4640i | 0.515066 | − | 1.39445i | ||||
\(543\) | 6.51442i | 0.279561i | ||||||||
\(544\) | −5.50465 | + | 27.3907i | −0.236010 | + | 1.17437i | ||||
\(545\) | 19.4873 | + | 11.3587i | 0.834743 | + | 0.486553i | ||||
\(546\) | −10.4149 | − | 3.84694i | −0.445717 | − | 0.164634i | ||||
\(547\) | −3.68638 | − | 3.68638i | −0.157618 | − | 0.157618i | 0.623892 | − | 0.781510i | \(-0.285550\pi\) |
−0.781510 | + | 0.623892i | \(0.785550\pi\) | |||||||
\(548\) | −24.2298 | − | 20.7274i | −1.03505 | − | 0.885430i | ||||
\(549\) | −17.0865 | − | 17.0865i | −0.729233 | − | 0.729233i | ||||
\(550\) | −13.6250 | + | 18.9287i | −0.580972 | + | 0.807124i | ||||
\(551\) | 2.88527i | 0.122917i | ||||||||
\(552\) | −11.1741 | − | 3.16573i | −0.475602 | − | 0.134743i | ||||
\(553\) | −2.85124 | −0.121247 | ||||||||
\(554\) | 11.5432 | + | 25.0653i | 0.490425 | + | 1.06492i | ||||
\(555\) | 9.87406 | + | 37.4696i | 0.419130 | + | 1.59050i | ||||
\(556\) | −0.834008 | − | 10.7053i | −0.0353698 | − | 0.454004i | ||||
\(557\) | −3.92396 | − | 3.92396i | −0.166264 | − | 0.166264i | 0.619071 | − | 0.785335i | \(-0.287509\pi\) |
−0.785335 | + | 0.619071i | \(0.787509\pi\) | |||||||
\(558\) | −66.2757 | − | 24.4802i | −2.80567 | − | 1.03633i | ||||
\(559\) | −8.04293 | −0.340180 | ||||||||
\(560\) | −8.93158 | + | 3.91557i | −0.377428 | + | 0.165463i | ||||
\(561\) | 45.8796 | 1.93704 | ||||||||
\(562\) | −21.9783 | − | 8.11808i | −0.927097 | − | 0.342441i | ||||
\(563\) | 2.42213 | + | 2.42213i | 0.102081 | + | 0.102081i | 0.756303 | − | 0.654222i | \(-0.227004\pi\) |
−0.654222 | + | 0.756303i | \(0.727004\pi\) | |||||||
\(564\) | −11.7629 | + | 0.916407i | −0.495309 | + | 0.0385877i | ||||
\(565\) | −19.9781 | + | 5.26466i | −0.840484 | + | 0.221486i | ||||
\(566\) | 11.4467 | + | 24.8555i | 0.481139 | + | 1.04476i | ||||
\(567\) | 0.579682 | 0.0243444 | ||||||||
\(568\) | 8.82734 | + | 15.8063i | 0.370387 | + | 0.663217i | ||||
\(569\) | 0.577163i | 0.0241959i | 0.999927 | + | 0.0120980i | \(0.00385099\pi\) | ||||
−0.999927 | + | 0.0120980i | \(0.996149\pi\) | |||||||
\(570\) | −25.5709 | − | 2.46651i | −1.07105 | − | 0.103311i | ||||
\(571\) | −18.5485 | − | 18.5485i | −0.776229 | − | 0.776229i | 0.202959 | − | 0.979187i | \(-0.434944\pi\) |
−0.979187 | + | 0.202959i | \(0.934944\pi\) | |||||||
\(572\) | −10.9627 | + | 12.8152i | −0.458374 | + | 0.535829i | ||||
\(573\) | −10.1007 | − | 10.1007i | −0.421962 | − | 0.421962i | ||||
\(574\) | −14.8626 | − | 5.48976i | −0.620351 | − | 0.229138i | ||||
\(575\) | −6.34285 | + | 3.59243i | −0.264515 | + | 0.149815i | ||||
\(576\) | 33.5958 | + | 20.6973i | 1.39982 | + | 0.862387i | ||||
\(577\) | 9.63346i | 0.401046i | 0.979689 | + | 0.200523i | \(0.0642642\pi\) | ||||
−0.979689 | + | 0.200523i | \(0.935736\pi\) | |||||||
\(578\) | 3.62229 | − | 9.80670i | 0.150667 | − | 0.407905i | ||||
\(579\) | 43.8873 | − | 43.8873i | 1.82390 | − | 1.82390i | ||||
\(580\) | −1.47250 | − | 4.22421i | −0.0611421 | − | 0.175401i | ||||
\(581\) | −6.19148 | − | 6.19148i | −0.256866 | − | 0.256866i | ||||
\(582\) | 6.28645 | + | 13.6506i | 0.260582 | + | 0.565834i | ||||
\(583\) | −1.00425 | −0.0415918 | ||||||||
\(584\) | 12.9483 | − | 7.23122i | 0.535803 | − | 0.299230i | ||||
\(585\) | 24.3606 | + | 14.1993i | 1.00719 | + | 0.587067i | ||||
\(586\) | −19.2852 | − | 41.8763i | −0.796663 | − | 1.72989i | ||||
\(587\) | −17.5202 | + | 17.5202i | −0.723136 | + | 0.723136i | −0.969243 | − | 0.246107i | \(-0.920849\pi\) |
0.246107 | + | 0.969243i | \(0.420849\pi\) | |||||||
\(588\) | −2.54248 | − | 32.6351i | −0.104850 | − | 1.34585i | ||||
\(589\) | 20.6580 | − | 20.6580i | 0.851197 | − | 0.851197i | ||||
\(590\) | −3.30144 | − | 4.00633i | −0.135918 | − | 0.164938i | ||||
\(591\) | 32.1433 | 1.32220 | ||||||||
\(592\) | 19.8878 | + | 14.4975i | 0.817385 | + | 0.595842i | ||||
\(593\) | − | 15.7065i | − | 0.644988i | −0.946571 | − | 0.322494i | \(-0.895479\pi\) | ||
0.946571 | − | 0.322494i | \(-0.104521\pi\) | |||||||
\(594\) | 8.79635 | − | 23.8146i | 0.360919 | − | 0.977123i | ||||
\(595\) | 11.6436 | − | 3.06835i | 0.477343 | − | 0.125790i | ||||
\(596\) | −2.92820 | − | 37.5862i | −0.119944 | − | 1.53959i | ||||
\(597\) | −43.5279 | + | 43.5279i | −1.78148 | + | 1.78148i | ||||
\(598\) | −4.78774 | + | 2.20489i | −0.195785 | + | 0.0901645i | ||||
\(599\) | − | 29.6865i | − | 1.21296i | −0.795099 | − | 0.606479i | \(-0.792581\pi\) | ||
0.795099 | − | 0.606479i | \(-0.207419\pi\) | |||||||
\(600\) | 38.6962 | − | 9.43897i | 1.57976 | − | 0.385344i | ||||
\(601\) | − | 13.3688i | − | 0.545325i | −0.962110 | − | 0.272663i | \(-0.912096\pi\) | ||
0.962110 | − | 0.272663i | \(-0.0879043\pi\) | |||||||
\(602\) | 2.02919 | + | 4.40622i | 0.0827034 | + | 0.179584i | ||||
\(603\) | 24.8689 | − | 24.8689i | 1.01274 | − | 1.01274i | ||||
\(604\) | −7.28207 | + | 8.51258i | −0.296303 | + | 0.346372i | ||||
\(605\) | −0.262178 | + | 0.0690897i | −0.0106591 | + | 0.00280890i | ||||
\(606\) | −3.73748 | − | 1.38051i | −0.151825 | − | 0.0560793i | ||||
\(607\) | 39.5508i | 1.60532i | 0.596439 | + | 0.802659i | \(0.296582\pi\) | ||||
−0.596439 | + | 0.802659i | \(0.703418\pi\) | |||||||
\(608\) | −13.5846 | + | 9.03816i | −0.550929 | + | 0.366546i | ||||
\(609\) | −3.07180 | −0.124475 | ||||||||
\(610\) | −11.9556 | + | 9.85208i | −0.484068 | + | 0.398899i | ||||
\(611\) | −3.78646 | + | 3.78646i | −0.153184 | + | 0.153184i | ||||
\(612\) | −37.0229 | − | 31.6712i | −1.49656 | − | 1.28023i | ||||
\(613\) | −15.1788 | + | 15.1788i | −0.613067 | + | 0.613067i | −0.943744 | − | 0.330677i | \(-0.892723\pi\) |
0.330677 | + | 0.943744i | \(0.392723\pi\) | |||||||
\(614\) | 42.4213 | − | 19.5362i | 1.71199 | − | 0.788416i | ||||
\(615\) | 55.9077 | + | 32.5873i | 2.25441 | + | 1.31405i | ||||
\(616\) | 9.78646 | + | 2.77260i | 0.394308 | + | 0.111711i | ||||
\(617\) | 18.6184 | 0.749549 | 0.374774 | − | 0.927116i | \(-0.377720\pi\) | ||||
0.374774 | + | 0.927116i | \(0.377720\pi\) | |||||||
\(618\) | 46.7861 | − | 21.5463i | 1.88201 | − | 0.866717i | ||||
\(619\) | −15.6388 | − | 15.6388i | −0.628576 | − | 0.628576i | 0.319134 | − | 0.947710i | \(-0.396608\pi\) |
−0.947710 | + | 0.319134i | \(0.896608\pi\) | |||||||
\(620\) | −19.7018 | + | 40.7874i | −0.791242 | + | 1.63806i | ||||
\(621\) | 5.61080 | − | 5.61080i | 0.225154 | − | 0.225154i | ||||
\(622\) | −23.6142 | − | 8.72235i | −0.946844 | − | 0.349734i | ||||
\(623\) | − | 7.50008i | − | 0.300484i | ||||||
\(624\) | 28.4541 | − | 4.46058i | 1.13907 | − | 0.178566i | ||||
\(625\) | 12.8564 | − | 21.4409i | 0.514256 | − | 0.857637i | ||||
\(626\) | −11.6577 | + | 31.5612i | −0.465936 | + | 1.26144i | ||||
\(627\) | 18.9466 | + | 18.9466i | 0.756655 | + | 0.756655i | ||||
\(628\) | −1.56406 | − | 20.0762i | −0.0624129 | − | 0.801127i | ||||
\(629\) | −21.4873 | − | 21.4873i | −0.856753 | − | 0.856753i | ||||
\(630\) | 1.63284 | − | 16.9281i | 0.0650541 | − | 0.674430i | ||||
\(631\) | 32.2591i | 1.28422i | 0.766614 | + | 0.642108i | \(0.221940\pi\) | ||||
−0.766614 | + | 0.642108i | \(0.778060\pi\) | |||||||
\(632\) | 6.45765 | − | 3.60640i | 0.256871 | − | 0.143455i | ||||
\(633\) | −20.6404 | −0.820382 | ||||||||
\(634\) | −24.8767 | + | 11.4564i | −0.987979 | + | 0.454991i | ||||
\(635\) | −4.31603 | + | 1.13737i | −0.171276 | + | 0.0451351i | ||||
\(636\) | 1.30328 | + | 1.11489i | 0.0516784 | + | 0.0442082i | ||||
\(637\) | −10.5052 | − | 10.5052i | −0.416230 | − | 0.416230i | ||||
\(638\) | −1.61668 | + | 4.37689i | −0.0640051 | + | 0.173283i | ||||
\(639\) | −31.5715 | −1.24895 | ||||||||
\(640\) | 15.2761 | − | 20.1653i | 0.603841 | − | 0.797105i | ||||
\(641\) | −8.87760 | −0.350644 | −0.175322 | − | 0.984511i | \(-0.556097\pi\) | ||||
−0.175322 | + | 0.984511i | \(0.556097\pi\) | |||||||
\(642\) | 3.04655 | − | 8.24800i | 0.120238 | − | 0.325523i | ||||
\(643\) | 19.5500 | + | 19.5500i | 0.770977 | + | 0.770977i | 0.978277 | − | 0.207301i | \(-0.0664678\pi\) |
−0.207301 | + | 0.978277i | \(0.566468\pi\) | |||||||
\(644\) | 2.41584 | + | 2.06663i | 0.0951974 | + | 0.0814365i | ||||
\(645\) | −5.04880 | − | 19.1589i | −0.198796 | − | 0.754382i | ||||
\(646\) | 18.2990 | − | 8.42721i | 0.719966 | − | 0.331564i | ||||
\(647\) | 33.1992 | 1.30519 | 0.652597 | − | 0.757705i | \(-0.273679\pi\) | ||||
0.652597 | + | 0.757705i | \(0.273679\pi\) | |||||||
\(648\) | −1.31289 | + | 0.733213i | −0.0515754 | + | 0.0288033i | ||||
\(649\) | 5.41465i | 0.212543i | ||||||||
\(650\) | 10.5609 | − | 14.6718i | 0.414231 | − | 0.575477i | ||||
\(651\) | 21.9935 | + | 21.9935i | 0.861992 | + | 0.861992i | ||||
\(652\) | −0.119959 | − | 1.53979i | −0.00469797 | − | 0.0603028i | ||||
\(653\) | 10.3869 | + | 10.3869i | 0.406472 | + | 0.406472i | 0.880506 | − | 0.474034i | \(-0.157203\pi\) |
−0.474034 | + | 0.880506i | \(0.657203\pi\) | |||||||
\(654\) | −13.9214 | + | 37.6898i | −0.544371 | + | 1.47379i | ||||
\(655\) | −30.8433 | − | 17.9778i | −1.20515 | − | 0.702452i | ||||
\(656\) | 40.6053 | − | 6.36545i | 1.58537 | − | 0.248529i | ||||
\(657\) | 25.8629i | 1.00901i | ||||||||
\(658\) | 3.02967 | + | 1.11906i | 0.118109 | + | 0.0436257i | ||||
\(659\) | 3.29013 | − | 3.29013i | 0.128165 | − | 0.128165i | −0.640114 | − | 0.768280i | \(-0.721113\pi\) |
0.768280 | + | 0.640114i | \(0.221113\pi\) | |||||||
\(660\) | −37.4084 | − | 18.0696i | −1.45612 | − | 0.703359i | ||||
\(661\) | −8.43866 | − | 8.43866i | −0.328226 | − | 0.328226i | 0.523686 | − | 0.851912i | \(-0.324557\pi\) |
−0.851912 | + | 0.523686i | \(0.824557\pi\) | |||||||
\(662\) | −3.56135 | + | 1.64010i | −0.138416 | + | 0.0637443i | ||||
\(663\) | −35.5617 | −1.38110 | ||||||||
\(664\) | 21.8541 | + | 6.19148i | 0.848105 | + | 0.240276i | ||||
\(665\) | 6.07552 | + | 3.54128i | 0.235599 | + | 0.137325i | ||||
\(666\) | −38.9834 | + | 17.9529i | −1.51058 | + | 0.695662i | ||||
\(667\) | −1.03121 | + | 1.03121i | −0.0399286 | + | 0.0399286i | ||||
\(668\) | 32.3870 | + | 27.7054i | 1.25309 | + | 1.07196i | ||||
\(669\) | −37.2610 | + | 37.2610i | −1.44059 | + | 1.44059i | ||||
\(670\) | −14.3394 | − | 17.4010i | −0.553980 | − | 0.672260i | ||||
\(671\) | 16.1583 | 0.623783 | ||||||||
\(672\) | −9.62247 | − | 14.4628i | −0.371195 | − | 0.557916i | ||||
\(673\) | 7.49618i | 0.288956i | 0.989508 | + | 0.144478i | \(0.0461504\pi\) | ||||
−0.989508 | + | 0.144478i | \(0.953850\pi\) | |||||||
\(674\) | −24.6226 | − | 9.09483i | −0.948429 | − | 0.350320i | ||||
\(675\) | −7.26046 | + | 26.2268i | −0.279455 | + | 1.00947i | ||||
\(676\) | −8.40396 | + | 9.82404i | −0.323229 | + | 0.377848i | ||||
\(677\) | −11.2336 | + | 11.2336i | −0.431741 | + | 0.431741i | −0.889220 | − | 0.457479i | \(-0.848752\pi\) |
0.457479 | + | 0.889220i | \(0.348752\pi\) | |||||||
\(678\) | −15.3941 | − | 33.4272i | −0.591208 | − | 1.28376i | ||||
\(679\) | − | 4.11391i | − | 0.157877i | ||||||
\(680\) | −22.4901 | + | 21.6769i | −0.862457 | + | 0.831270i | ||||
\(681\) | − | 34.5904i | − | 1.32551i | ||||||
\(682\) | 42.9128 | − | 19.7625i | 1.64322 | − | 0.756746i | ||||
\(683\) | 24.1607 | − | 24.1607i | 0.924482 | − | 0.924482i | −0.0728605 | − | 0.997342i | \(-0.523213\pi\) |
0.997342 | + | 0.0728605i | \(0.0232128\pi\) | |||||||
\(684\) | −2.21006 | − | 28.3682i | −0.0845039 | − | 1.08468i | ||||
\(685\) | −9.08429 | − | 34.4726i | −0.347093 | − | 1.31713i | ||||
\(686\) | −6.84461 | + | 18.5306i | −0.261328 | + | 0.707500i | ||||
\(687\) | 16.8458i | 0.642709i | ||||||||
\(688\) | −10.1690 | − | 7.41283i | −0.387691 | − | 0.282611i | ||||
\(689\) | 0.778403 | 0.0296548 | ||||||||
\(690\) | −8.25763 | − | 10.0207i | −0.314363 | − | 0.381482i | ||||
\(691\) | 20.6744 | − | 20.6744i | 0.786490 | − | 0.786490i | −0.194427 | − | 0.980917i | \(-0.562285\pi\) |
0.980917 | + | 0.194427i | \(0.0622846\pi\) | |||||||
\(692\) | 0.581451 | + | 7.46345i | 0.0221034 | + | 0.283718i | ||||
\(693\) | −12.5427 | + | 12.5427i | −0.476460 | + | 0.476460i | ||||
\(694\) | 6.70124 | + | 14.5512i | 0.254376 | + | 0.552357i | ||||
\(695\) | 6.04550 | − | 10.3718i | 0.229319 | − | 0.393425i | ||||
\(696\) | 6.95717 | − | 3.88537i | 0.263711 | − | 0.147275i | ||||
\(697\) | −50.7482 | −1.92222 | ||||||||
\(698\) | 16.1112 | + | 34.9842i | 0.609818 | + | 1.32417i | ||||
\(699\) | 39.2440 | + | 39.2440i | 1.48435 | + | 1.48435i | ||||
\(700\) | −10.7022 | − | 2.08402i | −0.404507 | − | 0.0787686i | ||||
\(701\) | −5.10967 | + | 5.10967i | −0.192990 | + | 0.192990i | −0.796987 | − | 0.603997i | \(-0.793574\pi\) |
0.603997 | + | 0.796987i | \(0.293574\pi\) | |||||||
\(702\) | −6.81814 | + | 18.4589i | −0.257334 | + | 0.696686i | ||||
\(703\) | − | 17.7469i | − | 0.669338i | ||||||
\(704\) | −25.6718 | + | 6.09891i | −0.967544 | + | 0.229861i | ||||
\(705\) | −11.3965 | − | 6.64279i | −0.429219 | − | 0.250182i | ||||
\(706\) | −8.03207 | − | 2.96679i | −0.302291 | − | 0.111657i | ||||
\(707\) | 0.771212 | + | 0.771212i | 0.0290044 | + | 0.0290044i | ||||
\(708\) | 6.01119 | − | 7.02694i | 0.225914 | − | 0.264089i | ||||
\(709\) | 13.7429 | + | 13.7429i | 0.516126 | + | 0.516126i | 0.916397 | − | 0.400271i | \(-0.131084\pi\) |
−0.400271 | + | 0.916397i | \(0.631084\pi\) | |||||||
\(710\) | −1.94339 | + | 20.1475i | −0.0729341 | + | 0.756124i | ||||
\(711\) | 12.8985i | 0.483732i | ||||||||
\(712\) | 9.48650 | + | 16.9866i | 0.355522 | + | 0.636599i | ||||
\(713\) | 14.7665 | 0.553011 | ||||||||
\(714\) | 8.97201 | + | 19.4820i | 0.335769 | + | 0.729097i | ||||
\(715\) | −18.2326 | + | 4.80468i | −0.681860 | + | 0.179685i | ||||
\(716\) | 37.9971 | − | 2.96022i | 1.42002 | − | 0.110628i | ||||
\(717\) | 1.90767 | + | 1.90767i | 0.0712431 | + | 0.0712431i | ||||
\(718\) | 11.5968 | + | 4.28349i | 0.432788 | + | 0.159858i | ||||
\(719\) | 23.0266 | 0.858747 | 0.429373 | − | 0.903127i | \(-0.358734\pi\) | ||||
0.429373 | + | 0.903127i | \(0.358734\pi\) | |||||||
\(720\) | 17.7134 | + | 40.4049i | 0.660138 | + | 1.50580i | ||||
\(721\) | −14.1001 | −0.525114 | ||||||||
\(722\) | −14.1686 | − | 5.23344i | −0.527301 | − | 0.194768i | ||||
\(723\) | −20.8312 | − | 20.8312i | −0.774721 | − | 0.774721i | ||||
\(724\) | 0.359304 | + | 4.61199i | 0.0133534 | + | 0.171403i | ||||
\(725\) | 1.33440 | − | 4.82023i | 0.0495585 | − | 0.179019i | ||||
\(726\) | −0.202022 | − | 0.438675i | −0.00749773 | − | 0.0162807i | ||||
\(727\) | 43.6601 | 1.61926 | 0.809631 | − | 0.586939i | \(-0.199667\pi\) | ||||
0.809631 | + | 0.586939i | \(0.199667\pi\) | |||||||
\(728\) | −7.58558 | − | 2.14907i | −0.281140 | − | 0.0796498i | ||||
\(729\) | 43.3646i | 1.60610i | ||||||||
\(730\) | 16.5046 | + | 1.59200i | 0.610861 | + | 0.0589224i | ||||
\(731\) | 10.9869 | + | 10.9869i | 0.406363 | + | 0.406363i | ||||
\(732\) | −20.9696 | − | 17.9385i | −0.775061 | − | 0.663025i | ||||
\(733\) | 20.4799 | + | 20.4799i | 0.756444 | + | 0.756444i | 0.975673 | − | 0.219229i | \(-0.0703543\pi\) |
−0.219229 | + | 0.975673i | \(0.570354\pi\) | |||||||
\(734\) | −30.1880 | − | 11.1505i | −1.11426 | − | 0.411572i | ||||
\(735\) | 18.4297 | − | 31.6186i | 0.679792 | − | 1.16627i | ||||
\(736\) | −8.08550 | − | 1.62492i | −0.298036 | − | 0.0598955i | ||||
\(737\) | 23.5179i | 0.866292i | ||||||||
\(738\) | −24.8347 | + | 67.2356i | −0.914178 | + | 2.47498i | ||||
\(739\) | −5.57362 | + | 5.57362i | −0.205029 | + | 0.205029i | −0.802151 | − | 0.597122i | \(-0.796311\pi\) |
0.597122 | + | 0.802151i | \(0.296311\pi\) | |||||||
\(740\) | 9.05714 | + | 25.9826i | 0.332947 | + | 0.955140i | ||||
\(741\) | −14.6857 | − | 14.6857i | −0.539493 | − | 0.539493i | ||||
\(742\) | −0.196387 | − | 0.426439i | −0.00720958 | − | 0.0156551i | ||||
\(743\) | 13.1917 | 0.483957 | 0.241978 | − | 0.970282i | \(-0.422204\pi\) | ||||
0.241978 | + | 0.970282i | \(0.422204\pi\) | |||||||
\(744\) | −77.6305 | − | 21.9935i | −2.84607 | − | 0.806320i | ||||
\(745\) | 21.2257 | − | 36.4155i | 0.777651 | − | 1.33416i | ||||
\(746\) | 15.9935 | + | 34.7286i | 0.585563 | + | 1.27151i | ||||
\(747\) | −28.0092 | + | 28.0092i | −1.02480 | + | 1.02480i | ||||
\(748\) | 32.4812 | − | 2.53049i | 1.18763 | − | 0.0925240i | ||||
\(749\) | −1.70194 | + | 1.70194i | −0.0621875 | + | 0.0621875i | ||||
\(750\) | 41.5789 | + | 15.9469i | 1.51825 | + | 0.582298i | ||||
\(751\) | −16.1003 | −0.587510 | −0.293755 | − | 0.955881i | \(-0.594905\pi\) | ||||
−0.293755 | + | 0.955881i | \(0.594905\pi\) | |||||||
\(752\) | −8.27721 | + | 1.29757i | −0.301839 | + | 0.0473175i | ||||
\(753\) | − | 29.0371i | − | 1.05817i | ||||||
\(754\) | 1.25311 | − | 3.39257i | 0.0456355 | − | 0.123550i | ||||
\(755\) | −12.1111 | + | 3.19155i | −0.440770 | + | 0.116152i | ||||
\(756\) | 11.8327 | − | 0.921840i | 0.430350 | − | 0.0335270i | ||||
\(757\) | 23.2342 | − | 23.2342i | 0.844463 | − | 0.844463i | −0.144973 | − | 0.989436i | \(-0.546309\pi\) |
0.989436 | + | 0.144973i | \(0.0463094\pi\) | |||||||
\(758\) | −34.8990 | + | 16.0719i | −1.26759 | + | 0.583759i | ||||
\(759\) | 13.5432i | 0.491588i | ||||||||
\(760\) | −18.2394 | − | 0.335844i | −0.661612 | − | 0.0121823i | ||||
\(761\) | − | 15.4641i | − | 0.560573i | −0.959916 | − | 0.280287i | \(-0.909570\pi\) | ||
0.959916 | − | 0.280287i | \(-0.0904295\pi\) | |||||||
\(762\) | −3.32572 | − | 7.22155i | −0.120478 | − | 0.261609i | ||||
\(763\) | 7.77711 | − | 7.77711i | 0.281550 | − | 0.281550i | ||||
\(764\) | −7.70804 | − | 6.59383i | −0.278867 | − | 0.238556i | ||||
\(765\) | −13.8807 | − | 52.6738i | −0.501857 | − | 1.90442i | ||||
\(766\) | −27.5565 | − | 10.1785i | −0.995655 | − | 0.367764i | ||||
\(767\) | − | 4.19694i | − | 0.151543i | ||||||
\(768\) | 40.0868 | + | 20.5852i | 1.44651 | + | 0.742804i |