Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(5,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([55, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.o (of order \(66\), degree \(20\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 103.4 | ||
Character | \(\chi\) | \(=\) | 322.103 |
Dual form | 322.2.o.b.297.4 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0475819 | + | 0.998867i | 0.0336455 | + | 0.706306i | ||||
\(3\) | 0.120021 | + | 0.299798i | 0.0692941 | + | 0.173088i | 0.958972 | − | 0.283500i | \(-0.0914955\pi\) |
−0.889678 | + | 0.456588i | \(0.849071\pi\) | |||||||
\(4\) | −0.995472 | + | 0.0950560i | −0.497736 | + | 0.0475280i | ||||
\(5\) | 0.949998 | − | 3.91595i | 0.424852 | − | 1.75126i | −0.209102 | − | 0.977894i | \(-0.567054\pi\) |
0.633954 | − | 0.773371i | \(-0.281431\pi\) | |||||||
\(6\) | −0.293747 | + | 0.134150i | −0.119922 | + | 0.0547665i | ||||
\(7\) | −2.64217 | + | 0.137541i | −0.998648 | + | 0.0519858i | ||||
\(8\) | −0.142315 | − | 0.989821i | −0.0503159 | − | 0.349955i | ||||
\(9\) | 2.09573 | − | 1.99827i | 0.698576 | − | 0.666091i | ||||
\(10\) | 3.95671 | + | 0.762594i | 1.25122 | + | 0.241153i | ||||
\(11\) | 0.0877473 | + | 0.00417992i | 0.0264568 | + | 0.00126029i | 0.0608061 | − | 0.998150i | \(-0.480633\pi\) |
−0.0343493 | + | 0.999410i | \(0.510936\pi\) | |||||||
\(12\) | −0.147975 | − | 0.287032i | −0.0427167 | − | 0.0828589i | ||||
\(13\) | −3.55909 | − | 3.08397i | −0.987114 | − | 0.855339i | 0.00236768 | − | 0.999997i | \(-0.499246\pi\) |
−0.989482 | + | 0.144658i | \(0.953792\pi\) | |||||||
\(14\) | −0.263105 | − | 2.63264i | −0.0703179 | − | 0.703602i | ||||
\(15\) | 1.28801 | − | 0.185188i | 0.332563 | − | 0.0478154i | ||||
\(16\) | 0.981929 | − | 0.189251i | 0.245482 | − | 0.0473128i | ||||
\(17\) | 2.94664 | − | 4.13797i | 0.714664 | − | 1.00361i | −0.284328 | − | 0.958727i | \(-0.591771\pi\) |
0.998992 | − | 0.0448786i | \(-0.0142901\pi\) | |||||||
\(18\) | 2.09573 | + | 1.99827i | 0.493968 | + | 0.470997i | ||||
\(19\) | 0.479037 | + | 0.672713i | 0.109899 | + | 0.154331i | 0.865862 | − | 0.500283i | \(-0.166771\pi\) |
−0.755963 | + | 0.654614i | \(0.772831\pi\) | |||||||
\(20\) | −0.573462 | + | 3.98852i | −0.128230 | + | 0.891860i | ||||
\(21\) | −0.358351 | − | 0.775610i | −0.0781985 | − | 0.169252i | ||||
\(22\) | 0.0878468i | 0.0187290i | ||||||||
\(23\) | 3.49838 | + | 3.28045i | 0.729462 | + | 0.684021i | ||||
\(24\) | 0.279666 | − | 0.161465i | 0.0570865 | − | 0.0329589i | ||||
\(25\) | −9.98796 | − | 5.14915i | −1.99759 | − | 1.02983i | ||||
\(26\) | 2.91113 | − | 3.70180i | 0.570919 | − | 0.725983i | ||||
\(27\) | 1.73185 | + | 0.790910i | 0.333295 | + | 0.152211i | ||||
\(28\) | 2.61714 | − | 0.388073i | 0.494592 | − | 0.0733389i | ||||
\(29\) | 3.27431 | + | 7.16974i | 0.608024 | + | 1.33139i | 0.923917 | + | 0.382592i | \(0.124969\pi\) |
−0.315893 | + | 0.948795i | \(0.602304\pi\) | |||||||
\(30\) | 0.246264 | + | 1.27774i | 0.0449615 | + | 0.233283i | ||||
\(31\) | 0.664348 | + | 0.844787i | 0.119320 | + | 0.151728i | 0.842044 | − | 0.539409i | \(-0.181352\pi\) |
−0.722723 | + | 0.691137i | \(0.757110\pi\) | |||||||
\(32\) | 0.235759 | + | 0.971812i | 0.0416767 | + | 0.171794i | ||||
\(33\) | 0.00927838 | + | 0.0268081i | 0.00161516 | + | 0.00466669i | ||||
\(34\) | 4.27349 | + | 2.74641i | 0.732898 | + | 0.471005i | ||||
\(35\) | −1.97146 | + | 10.4773i | −0.333237 | + | 1.77098i | ||||
\(36\) | −1.89629 | + | 2.18844i | −0.316048 | + | 0.364739i | ||||
\(37\) | 1.33323 | + | 1.39826i | 0.219182 | + | 0.229872i | 0.824140 | − | 0.566385i | \(-0.191659\pi\) |
−0.604958 | + | 0.796257i | \(0.706810\pi\) | |||||||
\(38\) | −0.649158 | + | 0.510503i | −0.105307 | + | 0.0828146i | ||||
\(39\) | 0.497402 | − | 1.43715i | 0.0796480 | − | 0.230128i | ||||
\(40\) | −4.01129 | − | 0.383031i | −0.634240 | − | 0.0605626i | ||||
\(41\) | 1.13979 | + | 3.88178i | 0.178006 | + | 0.606232i | 0.999359 | + | 0.0358115i | \(0.0114016\pi\) |
−0.821353 | + | 0.570421i | \(0.806780\pi\) | |||||||
\(42\) | 0.757680 | − | 0.394850i | 0.116913 | − | 0.0609267i | ||||
\(43\) | 5.46811 | + | 0.786196i | 0.833880 | + | 0.119894i | 0.546013 | − | 0.837777i | \(-0.316145\pi\) |
0.287867 | + | 0.957671i | \(0.407054\pi\) | |||||||
\(44\) | −0.0877473 | + | 0.00417992i | −0.0132284 | + | 0.000630146i | ||||
\(45\) | −5.83419 | − | 10.1051i | −0.869710 | − | 1.50638i | ||||
\(46\) | −3.11027 | + | 3.65051i | −0.458585 | + | 0.538238i | ||||
\(47\) | −9.98347 | − | 5.76396i | −1.45624 | − | 0.840760i | −0.457415 | − | 0.889253i | \(-0.651225\pi\) |
−0.998823 | + | 0.0484935i | \(0.984558\pi\) | |||||||
\(48\) | 0.174589 | + | 0.271666i | 0.0251998 | + | 0.0392116i | ||||
\(49\) | 6.96216 | − | 0.726817i | 0.994595 | − | 0.103831i | ||||
\(50\) | 4.66807 | − | 10.2217i | 0.660165 | − | 1.44556i | ||||
\(51\) | 1.59421 | + | 0.386752i | 0.223234 | + | 0.0541561i | ||||
\(52\) | 3.83612 | + | 2.73169i | 0.531975 | + | 0.378817i | ||||
\(53\) | −7.51905 | − | 2.60237i | −1.03282 | − | 0.357463i | −0.242497 | − | 0.970152i | \(-0.577966\pi\) |
−0.790324 | + | 0.612689i | \(0.790088\pi\) | |||||||
\(54\) | −0.707609 | + | 1.76752i | −0.0962934 | + | 0.240529i | ||||
\(55\) | 0.0997281 | − | 0.339643i | 0.0134473 | − | 0.0457974i | ||||
\(56\) | 0.512162 | + | 2.59571i | 0.0684405 | + | 0.346866i | ||||
\(57\) | −0.144183 | + | 0.224354i | −0.0190976 | + | 0.0297164i | ||||
\(58\) | −7.00582 | + | 3.61175i | −0.919909 | + | 0.474246i | ||||
\(59\) | 2.00502 | − | 10.4030i | 0.261032 | − | 1.35436i | −0.580547 | − | 0.814227i | \(-0.697161\pi\) |
0.841579 | − | 0.540134i | \(-0.181627\pi\) | |||||||
\(60\) | −1.26458 | + | 0.306783i | −0.163256 | + | 0.0396055i | ||||
\(61\) | 7.80744 | + | 3.12563i | 0.999640 | + | 0.400195i | 0.813019 | − | 0.582237i | \(-0.197822\pi\) |
0.186620 | + | 0.982432i | \(0.440247\pi\) | |||||||
\(62\) | −0.812219 | + | 0.703792i | −0.103152 | + | 0.0893816i | ||||
\(63\) | −5.26243 | + | 5.56803i | −0.663004 | + | 0.701506i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −15.4578 | + | 11.0074i | −1.91730 | + | 1.36530i | ||||
\(66\) | −0.0263363 | + | 0.0105435i | −0.00324177 | + | 0.00129781i | ||||
\(67\) | 3.35574 | − | 6.50922i | 0.409968 | − | 0.795228i | −0.589957 | − | 0.807435i | \(-0.700855\pi\) |
0.999925 | + | 0.0122069i | \(0.00388567\pi\) | |||||||
\(68\) | −2.53995 | + | 4.39933i | −0.308015 | + | 0.533497i | ||||
\(69\) | −0.563593 | + | 1.44253i | −0.0678486 | + | 0.173660i | ||||
\(70\) | −10.5592 | − | 1.47069i | −1.26207 | − | 0.175782i | ||||
\(71\) | −10.3284 | + | 6.63765i | −1.22575 | + | 0.787744i | −0.983224 | − | 0.182400i | \(-0.941613\pi\) |
−0.242529 | + | 0.970144i | \(0.577977\pi\) | |||||||
\(72\) | −2.27619 | − | 1.79001i | −0.268251 | − | 0.210955i | ||||
\(73\) | 0.354758 | + | 3.71519i | 0.0415213 | + | 0.434830i | 0.992200 | + | 0.124654i | \(0.0397821\pi\) |
−0.950679 | + | 0.310176i | \(0.899612\pi\) | |||||||
\(74\) | −1.33323 | + | 1.39826i | −0.154985 | + | 0.162544i | ||||
\(75\) | 0.344940 | − | 3.61237i | 0.0398302 | − | 0.417121i | ||||
\(76\) | −0.540813 | − | 0.624132i | −0.0620355 | − | 0.0715928i | ||||
\(77\) | −0.232418 | + | 0.00102482i | −0.0264865 | + | 0.000116789i | ||||
\(78\) | 1.45919 | + | 0.428456i | 0.165220 | + | 0.0485131i | ||||
\(79\) | −4.11632 | + | 1.42467i | −0.463122 | + | 0.160288i | −0.548658 | − | 0.836047i | \(-0.684861\pi\) |
0.0855357 | + | 0.996335i | \(0.472740\pi\) | |||||||
\(80\) | 0.191733 | − | 4.02497i | 0.0214364 | − | 0.450005i | ||||
\(81\) | 0.384097 | − | 8.06318i | 0.0426774 | − | 0.895909i | ||||
\(82\) | −3.82315 | + | 1.32320i | −0.422196 | + | 0.146124i | ||||
\(83\) | 6.40478 | + | 1.88061i | 0.703016 | + | 0.206424i | 0.613654 | − | 0.789575i | \(-0.289699\pi\) |
0.0893620 | + | 0.995999i | \(0.471517\pi\) | |||||||
\(84\) | 0.430455 | + | 0.738035i | 0.0469664 | + | 0.0805262i | ||||
\(85\) | −13.4048 | − | 15.4699i | −1.45395 | − | 1.67795i | ||||
\(86\) | −0.525122 | + | 5.49933i | −0.0566254 | + | 0.593008i | ||||
\(87\) | −1.75649 | + | 1.84215i | −0.188315 | + | 0.197499i | ||||
\(88\) | −0.00835037 | − | 0.0874490i | −0.000890152 | − | 0.00932210i | ||||
\(89\) | 13.4236 | + | 10.5564i | 1.42290 | + | 1.11898i | 0.974303 | + | 0.225241i | \(0.0723170\pi\) |
0.448593 | + | 0.893736i | \(0.351925\pi\) | |||||||
\(90\) | 9.81607 | − | 6.30840i | 1.03470 | − | 0.664964i | ||||
\(91\) | 9.82791 | + | 7.65886i | 1.03024 | + | 0.802867i | ||||
\(92\) | −3.79436 | − | 2.93305i | −0.395590 | − | 0.305792i | ||||
\(93\) | −0.173530 | + | 0.300562i | −0.0179942 | + | 0.0311668i | ||||
\(94\) | 5.28240 | − | 10.2464i | 0.544838 | − | 1.05684i | ||||
\(95\) | 3.08939 | − | 1.23681i | 0.316965 | − | 0.126894i | ||||
\(96\) | −0.263051 | + | 0.187318i | −0.0268475 | + | 0.0191180i | ||||
\(97\) | 3.30745 | − | 0.971154i | 0.335821 | − | 0.0986058i | −0.109475 | − | 0.993990i | \(-0.534917\pi\) |
0.445295 | + | 0.895384i | \(0.353099\pi\) | |||||||
\(98\) | 1.05727 | + | 6.91970i | 0.106800 | + | 0.698995i | ||||
\(99\) | 0.192247 | − | 0.166583i | 0.0193216 | − | 0.0167422i | ||||
\(100\) | 10.4322 | + | 4.17642i | 1.04322 | + | 0.417642i | ||||
\(101\) | −4.47778 | + | 1.08630i | −0.445556 | + | 0.108091i | −0.452258 | − | 0.891887i | \(-0.649382\pi\) |
0.00670291 | + | 0.999978i | \(0.497866\pi\) | |||||||
\(102\) | −0.310458 | + | 1.61081i | −0.0307399 | + | 0.159494i | ||||
\(103\) | 0.167007 | − | 0.0860983i | 0.0164557 | − | 0.00848352i | −0.449979 | − | 0.893039i | \(-0.648569\pi\) |
0.466435 | + | 0.884556i | \(0.345538\pi\) | |||||||
\(104\) | −2.54607 | + | 3.96176i | −0.249662 | + | 0.388482i | ||||
\(105\) | −3.37768 | + | 0.666454i | −0.329628 | + | 0.0650393i | ||||
\(106\) | 2.24165 | − | 7.63436i | 0.217728 | − | 0.741514i | ||||
\(107\) | 2.20836 | − | 5.51622i | 0.213490 | − | 0.533273i | −0.782508 | − | 0.622640i | \(-0.786060\pi\) |
0.995999 | + | 0.0893668i | \(0.0284843\pi\) | |||||||
\(108\) | −1.79919 | − | 0.622706i | −0.173127 | − | 0.0599199i | ||||
\(109\) | 11.7133 | + | 8.34102i | 1.12193 | + | 0.798925i | 0.981556 | − | 0.191173i | \(-0.0612293\pi\) |
0.140377 | + | 0.990098i | \(0.455169\pi\) | |||||||
\(110\) | 0.344003 | + | 0.0834543i | 0.0327994 | + | 0.00795705i | ||||
\(111\) | −0.259178 | + | 0.567521i | −0.0246001 | + | 0.0538667i | ||||
\(112\) | −2.56840 | + | 0.635091i | −0.242691 | + | 0.0600104i | ||||
\(113\) | 1.09892 | + | 1.70995i | 0.103378 | + | 0.160859i | 0.889089 | − | 0.457735i | \(-0.151339\pi\) |
−0.785711 | + | 0.618594i | \(0.787703\pi\) | |||||||
\(114\) | −0.230960 | − | 0.133345i | −0.0216314 | − | 0.0124889i | ||||
\(115\) | 16.1695 | − | 10.5830i | 1.50782 | − | 0.986874i | ||||
\(116\) | −3.94101 | − | 6.82603i | −0.365914 | − | 0.633781i | ||||
\(117\) | −13.6215 | + | 0.648872i | −1.25931 | + | 0.0599882i | ||||
\(118\) | 10.4867 | + | 1.50775i | 0.965376 | + | 0.138800i | ||||
\(119\) | −7.21638 | + | 11.3385i | −0.661525 | + | 1.03940i | ||||
\(120\) | −0.366606 | − | 1.24855i | −0.0334664 | − | 0.113976i | ||||
\(121\) | −10.9425 | − | 1.04488i | −0.994774 | − | 0.0949894i | ||||
\(122\) | −2.75059 | + | 7.94732i | −0.249027 | + | 0.719516i | ||||
\(123\) | −1.02695 | + | 0.807602i | −0.0925969 | + | 0.0728190i | ||||
\(124\) | −0.741641 | − | 0.777811i | −0.0666014 | − | 0.0698495i | ||||
\(125\) | −16.4584 | + | 18.9940i | −1.47209 | + | 1.69888i | ||||
\(126\) | −5.81212 | − | 4.99154i | −0.517785 | − | 0.444681i | ||||
\(127\) | 11.0120 | + | 7.07696i | 0.977154 | + | 0.627979i | 0.928694 | − | 0.370846i | \(-0.120932\pi\) |
0.0484599 | + | 0.998825i | \(0.484569\pi\) | |||||||
\(128\) | −0.327068 | − | 0.945001i | −0.0289090 | − | 0.0835271i | ||||
\(129\) | 0.420588 | + | 1.73369i | 0.0370307 | + | 0.152643i | ||||
\(130\) | −11.7305 | − | 14.9165i | −1.02883 | − | 1.30827i | ||||
\(131\) | 2.10656 | + | 10.9299i | 0.184051 | + | 0.954946i | 0.950048 | + | 0.312103i | \(0.101033\pi\) |
−0.765998 | + | 0.642843i | \(0.777755\pi\) | |||||||
\(132\) | −0.0117846 | − | 0.0258048i | −0.00102572 | − | 0.00224602i | ||||
\(133\) | −1.35822 | − | 1.71154i | −0.117773 | − | 0.148409i | ||||
\(134\) | 6.66152 | + | 3.04221i | 0.575468 | + | 0.262807i | ||||
\(135\) | 4.74242 | − | 6.03047i | 0.408162 | − | 0.519020i | ||||
\(136\) | −4.51520 | − | 2.32775i | −0.387175 | − | 0.199603i | ||||
\(137\) | −6.18145 | + | 3.56886i | −0.528117 | + | 0.304909i | −0.740249 | − | 0.672332i | \(-0.765293\pi\) |
0.212132 | + | 0.977241i | \(0.431959\pi\) | |||||||
\(138\) | −1.46771 | − | 0.494316i | −0.124940 | − | 0.0420790i | ||||
\(139\) | 1.89021i | 0.160325i | 0.996782 | + | 0.0801627i | \(0.0255440\pi\) | ||||
−0.996782 | + | 0.0801627i | \(0.974456\pi\) | |||||||
\(140\) | 0.966601 | − | 10.6172i | 0.0816927 | − | 0.897320i | ||||
\(141\) | 0.529797 | − | 3.68482i | 0.0446169 | − | 0.310318i | ||||
\(142\) | −7.12157 | − | 10.0009i | −0.597629 | − | 0.839253i | ||||
\(143\) | −0.299410 | − | 0.285487i | −0.0250379 | − | 0.0238736i | ||||
\(144\) | 1.67968 | − | 2.35878i | 0.139973 | − | 0.196565i | ||||
\(145\) | 31.1869 | − | 6.01078i | 2.58993 | − | 0.499168i | ||||
\(146\) | −3.69411 | + | 0.531132i | −0.305726 | + | 0.0439568i | ||||
\(147\) | 1.05350 | + | 2.00001i | 0.0868915 | + | 0.164958i | ||||
\(148\) | −1.46011 | − | 1.26519i | −0.120020 | − | 0.103998i | ||||
\(149\) | 1.84837 | + | 3.58533i | 0.151424 | + | 0.293722i | 0.952331 | − | 0.305067i | \(-0.0986790\pi\) |
−0.800907 | + | 0.598789i | \(0.795649\pi\) | |||||||
\(150\) | 3.62470 | + | 0.172666i | 0.295955 | + | 0.0140981i | ||||
\(151\) | −11.6763 | − | 2.25042i | −0.950204 | − | 0.183137i | −0.309478 | − | 0.950906i | \(-0.600154\pi\) |
−0.640726 | + | 0.767770i | \(0.721367\pi\) | |||||||
\(152\) | 0.597692 | − | 0.569898i | 0.0484792 | − | 0.0462248i | ||||
\(153\) | −2.09345 | − | 14.5602i | −0.169245 | − | 1.17713i | ||||
\(154\) | −0.0120826 | − | 0.232106i | −0.000973641 | − | 0.0187037i | ||||
\(155\) | 3.93927 | − | 1.79900i | 0.316410 | − | 0.144499i | ||||
\(156\) | −0.358540 | + | 1.47792i | −0.0287062 | + | 0.118328i | ||||
\(157\) | 14.7556 | − | 1.40899i | 1.17763 | − | 0.112450i | 0.512170 | − | 0.858884i | \(-0.328842\pi\) |
0.665459 | + | 0.746434i | \(0.268236\pi\) | |||||||
\(158\) | −1.61892 | − | 4.04387i | −0.128794 | − | 0.321713i | ||||
\(159\) | −0.122259 | − | 2.56653i | −0.00969577 | − | 0.203539i | ||||
\(160\) | 4.02953 | 0.318563 | ||||||||
\(161\) | −9.69452 | − | 8.18634i | −0.764035 | − | 0.645174i | ||||
\(162\) | 8.07232 | 0.634221 | ||||||||
\(163\) | −0.462650 | − | 9.71222i | −0.0362376 | − | 0.760720i | −0.941732 | − | 0.336363i | \(-0.890803\pi\) |
0.905495 | − | 0.424357i | \(-0.139500\pi\) | |||||||
\(164\) | −1.50362 | − | 3.75586i | −0.117413 | − | 0.293283i | ||||
\(165\) | 0.113794 | − | 0.0108660i | 0.00885882 | − | 0.000845915i | ||||
\(166\) | −1.57373 | + | 6.48701i | −0.122145 | + | 0.503490i | ||||
\(167\) | 17.3613 | − | 7.92865i | 1.34346 | − | 0.613538i | 0.391618 | − | 0.920128i | \(-0.371915\pi\) |
0.951842 | + | 0.306590i | \(0.0991881\pi\) | |||||||
\(168\) | −0.716717 | + | 0.465084i | −0.0552959 | + | 0.0358820i | ||||
\(169\) | 1.30616 | + | 9.08457i | 0.100474 | + | 0.698813i | ||||
\(170\) | 14.8146 | − | 14.1257i | 1.13623 | − | 1.08339i | ||||
\(171\) | 2.34820 | + | 0.452578i | 0.179571 | + | 0.0346095i | ||||
\(172\) | −5.51809 | − | 0.262859i | −0.420750 | − | 0.0200428i | ||||
\(173\) | 0.545685 | + | 1.05848i | 0.0414876 | + | 0.0804748i | 0.908668 | − | 0.417519i | \(-0.137100\pi\) |
−0.867180 | + | 0.497994i | \(0.834070\pi\) | |||||||
\(174\) | −1.92364 | − | 1.66684i | −0.145831 | − | 0.126363i | ||||
\(175\) | 27.0981 | + | 12.2312i | 2.04843 | + | 0.924591i | ||||
\(176\) | 0.0869526 | − | 0.0125019i | 0.00655430 | − | 0.000942366i | ||||
\(177\) | 3.35945 | − | 0.647482i | 0.252512 | − | 0.0486677i | ||||
\(178\) | −9.90574 | + | 13.9107i | −0.742466 | + | 1.04265i | ||||
\(179\) | 18.1181 | + | 17.2756i | 1.35421 | + | 1.29124i | 0.920797 | + | 0.390043i | \(0.127540\pi\) |
0.433415 | + | 0.901195i | \(0.357309\pi\) | |||||||
\(180\) | 6.76833 | + | 9.50478i | 0.504481 | + | 0.708445i | ||||
\(181\) | 1.12259 | − | 7.80780i | 0.0834416 | − | 0.580349i | −0.904612 | − | 0.426237i | \(-0.859839\pi\) |
0.988053 | − | 0.154112i | \(-0.0492518\pi\) | |||||||
\(182\) | −7.18255 | + | 10.1812i | −0.532406 | + | 0.754681i | ||||
\(183\) | 2.71579i | 0.200757i | ||||||||
\(184\) | 2.74919 | − | 3.92963i | 0.202673 | − | 0.289696i | ||||
\(185\) | 6.74207 | − | 3.89253i | 0.495687 | − | 0.286185i | ||||
\(186\) | −0.308478 | − | 0.159032i | −0.0226187 | − | 0.0116608i | ||||
\(187\) | 0.275856 | − | 0.350779i | 0.0201726 | − | 0.0256515i | ||||
\(188\) | 10.4862 | + | 4.78887i | 0.764782 | + | 0.349264i | ||||
\(189\) | −4.68463 | − | 1.85152i | −0.340757 | − | 0.134678i | ||||
\(190\) | 1.38240 | + | 3.02704i | 0.100290 | + | 0.219605i | ||||
\(191\) | 3.24541 | + | 16.8388i | 0.234829 | + | 1.21841i | 0.887514 | + | 0.460781i | \(0.152431\pi\) |
−0.652685 | + | 0.757630i | \(0.726357\pi\) | |||||||
\(192\) | −0.199622 | − | 0.253840i | −0.0144065 | − | 0.0183193i | ||||
\(193\) | −5.25346 | − | 21.6551i | −0.378152 | − | 1.55877i | −0.769576 | − | 0.638555i | \(-0.779533\pi\) |
0.391424 | − | 0.920210i | \(-0.371983\pi\) | |||||||
\(194\) | 1.12743 | + | 3.25749i | 0.0809447 | + | 0.233874i | ||||
\(195\) | −5.15526 | − | 3.31309i | −0.369176 | − | 0.237255i | ||||
\(196\) | −6.86155 | + | 1.38532i | −0.490111 | + | 0.0989515i | ||||
\(197\) | 4.08705 | − | 4.71671i | 0.291191 | − | 0.336052i | −0.591239 | − | 0.806496i | \(-0.701361\pi\) |
0.882430 | + | 0.470445i | \(0.155906\pi\) | |||||||
\(198\) | 0.175542 | + | 0.184103i | 0.0124752 | + | 0.0130836i | ||||
\(199\) | 1.44245 | − | 1.13435i | 0.102252 | − | 0.0804120i | −0.565724 | − | 0.824595i | \(-0.691403\pi\) |
0.667976 | + | 0.744183i | \(0.267161\pi\) | |||||||
\(200\) | −3.67531 | + | 10.6191i | −0.259883 | + | 0.750884i | ||||
\(201\) | 2.35421 | + | 0.224800i | 0.166053 | + | 0.0158561i | ||||
\(202\) | −1.29813 | − | 4.42102i | −0.0913360 | − | 0.311062i | ||||
\(203\) | −9.63743 | − | 18.4933i | −0.676415 | − | 1.29798i | ||||
\(204\) | −1.62376 | − | 0.233461i | −0.113686 | − | 0.0163455i | ||||
\(205\) | 16.2836 | − | 0.775685i | 1.13730 | − | 0.0541762i | ||||
\(206\) | 0.0939473 | + | 0.162722i | 0.00654562 | + | 0.0113373i | ||||
\(207\) | 13.8869 | − | 0.115786i | 0.965205 | − | 0.00804766i | ||||
\(208\) | −4.07842 | − | 2.35468i | −0.282787 | − | 0.163267i | ||||
\(209\) | 0.0392223 | + | 0.0610311i | 0.00271306 | + | 0.00422161i | ||||
\(210\) | −0.826416 | − | 3.34214i | −0.0570281 | − | 0.230630i | ||||
\(211\) | −0.946288 | + | 2.07208i | −0.0651452 | + | 0.142648i | −0.939404 | − | 0.342812i | \(-0.888621\pi\) |
0.874259 | + | 0.485460i | \(0.161348\pi\) | |||||||
\(212\) | 7.73237 | + | 1.87585i | 0.531062 | + | 0.128834i | ||||
\(213\) | −3.22957 | − | 2.29977i | −0.221287 | − | 0.157578i | ||||
\(214\) | 5.61505 | + | 1.94339i | 0.383837 | + | 0.132847i | ||||
\(215\) | 8.27340 | − | 20.6660i | 0.564241 | − | 1.40941i | ||||
\(216\) | 0.536392 | − | 1.82678i | 0.0364968 | − | 0.124297i | ||||
\(217\) | −1.87151 | − | 2.14070i | −0.127047 | − | 0.145320i | ||||
\(218\) | −7.77423 | + | 12.0969i | −0.526537 | + | 0.819308i | ||||
\(219\) | −1.07123 | + | 0.552257i | −0.0723869 | + | 0.0373180i | ||||
\(220\) | −0.0669914 | + | 0.347585i | −0.00451656 | + | 0.0234341i | ||||
\(221\) | −23.2487 | + | 5.64008i | −1.56388 | + | 0.379393i | ||||
\(222\) | −0.579210 | − | 0.231881i | −0.0388740 | − | 0.0155628i | ||||
\(223\) | −16.9131 | + | 14.6553i | −1.13258 | + | 0.981389i | −0.999952 | − | 0.00977697i | \(-0.996888\pi\) |
−0.132631 | + | 0.991166i | \(0.542342\pi\) | |||||||
\(224\) | −0.756580 | − | 2.53527i | −0.0505512 | − | 0.169395i | ||||
\(225\) | −31.2215 | + | 9.16745i | −2.08143 | + | 0.611163i | ||||
\(226\) | −1.65573 | + | 1.17904i | −0.110137 | + | 0.0784284i | ||||
\(227\) | −13.5027 | + | 5.40568i | −0.896209 | + | 0.358788i | −0.773605 | − | 0.633668i | \(-0.781549\pi\) |
−0.122603 | + | 0.992456i | \(0.539124\pi\) | |||||||
\(228\) | 0.122204 | − | 0.237043i | 0.00809318 | − | 0.0156986i | ||||
\(229\) | 10.5283 | − | 18.2355i | 0.695729 | − | 1.20504i | −0.274205 | − | 0.961671i | \(-0.588415\pi\) |
0.969934 | − | 0.243367i | \(-0.0782519\pi\) | |||||||
\(230\) | 11.3404 | + | 15.6476i | 0.747766 | + | 1.03177i | ||||
\(231\) | −0.0282023 | − | 0.0695555i | −0.00185558 | − | 0.00457642i | ||||
\(232\) | 6.63078 | − | 4.26134i | 0.435332 | − | 0.279771i | ||||
\(233\) | −11.1246 | − | 8.74845i | −0.728794 | − | 0.573130i | 0.183326 | − | 0.983052i | \(-0.441313\pi\) |
−0.912121 | + | 0.409922i | \(0.865556\pi\) | |||||||
\(234\) | −1.29627 | − | 13.5752i | −0.0847401 | − | 0.887438i | ||||
\(235\) | −32.0556 | + | 33.6190i | −2.09108 | + | 2.19306i | ||||
\(236\) | −1.00707 | + | 10.5465i | −0.0655547 | + | 0.686520i | ||||
\(237\) | −0.921158 | − | 1.06307i | −0.0598356 | − | 0.0690540i | ||||
\(238\) | −11.6691 | − | 6.66870i | −0.756392 | − | 0.432268i | ||||
\(239\) | 12.1652 | + | 3.57202i | 0.786900 | + | 0.231055i | 0.650407 | − | 0.759586i | \(-0.274599\pi\) |
0.136493 | + | 0.990641i | \(0.456417\pi\) | |||||||
\(240\) | 1.22969 | − | 0.425599i | 0.0793761 | − | 0.0274723i | ||||
\(241\) | 0.744535 | − | 15.6297i | 0.0479597 | − | 1.00680i | −0.838763 | − | 0.544497i | \(-0.816721\pi\) |
0.886723 | − | 0.462302i | \(-0.152976\pi\) | |||||||
\(242\) | 0.523034 | − | 10.9798i | 0.0336219 | − | 0.705810i | ||||
\(243\) | 7.86099 | − | 2.72072i | 0.504283 | − | 0.174534i | ||||
\(244\) | −8.06919 | − | 2.36933i | −0.516577 | − | 0.151681i | ||||
\(245\) | 3.76787 | − | 27.9539i | 0.240720 | − | 1.78591i | ||||
\(246\) | −0.855552 | − | 0.987359i | −0.0545480 | − | 0.0629517i | ||||
\(247\) | 0.369691 | − | 3.87158i | 0.0235229 | − | 0.246343i | ||||
\(248\) | 0.741641 | − | 0.777811i | 0.0470943 | − | 0.0493911i | ||||
\(249\) | 0.204904 | + | 2.14585i | 0.0129853 | + | 0.135988i | ||||
\(250\) | −19.7557 | − | 15.5360i | −1.24946 | − | 0.982584i | ||||
\(251\) | 6.17446 | − | 3.96809i | 0.389729 | − | 0.250463i | −0.331072 | − | 0.943605i | \(-0.607410\pi\) |
0.720801 | + | 0.693142i | \(0.243774\pi\) | |||||||
\(252\) | 4.70933 | − | 6.04305i | 0.296660 | − | 0.380676i | ||||
\(253\) | 0.293261 | + | 0.302473i | 0.0184372 | + | 0.0190163i | ||||
\(254\) | −6.54498 | + | 11.3362i | −0.410668 | + | 0.711298i | ||||
\(255\) | 3.02900 | − | 5.87544i | 0.189683 | − | 0.367934i | ||||
\(256\) | 0.928368 | − | 0.371662i | 0.0580230 | − | 0.0232289i | ||||
\(257\) | −7.84072 | + | 5.58335i | −0.489091 | + | 0.348280i | −0.797846 | − | 0.602862i | \(-0.794027\pi\) |
0.308755 | + | 0.951142i | \(0.400088\pi\) | |||||||
\(258\) | −1.71171 | + | 0.502604i | −0.106567 | + | 0.0312908i | ||||
\(259\) | −3.71496 | − | 3.51106i | −0.230836 | − | 0.218167i | ||||
\(260\) | 14.3415 | − | 12.4270i | 0.889420 | − | 0.770687i | ||||
\(261\) | 21.1892 | + | 8.48286i | 1.31158 | + | 0.525076i | ||||
\(262\) | −10.8172 | + | 2.62423i | −0.668291 | + | 0.162126i | ||||
\(263\) | −1.67759 | + | 8.70417i | −0.103445 | + | 0.536722i | 0.892823 | + | 0.450407i | \(0.148721\pi\) |
−0.996268 | + | 0.0863148i | \(0.972491\pi\) | |||||||
\(264\) | 0.0252148 | − | 0.0129991i | 0.00155186 | − | 0.000800041i | ||||
\(265\) | −17.3338 | + | 26.9719i | −1.06481 | + | 1.65687i | ||||
\(266\) | 1.64497 | − | 1.43812i | 0.100860 | − | 0.0881771i | ||||
\(267\) | −1.55368 | + | 5.29135i | −0.0950837 | + | 0.323825i | ||||
\(268\) | −2.72180 | + | 6.79873i | −0.166260 | + | 0.415298i | ||||
\(269\) | −5.51104 | − | 1.90739i | −0.336014 | − | 0.116296i | 0.153851 | − | 0.988094i | \(-0.450833\pi\) |
−0.489865 | + | 0.871799i | \(0.662954\pi\) | |||||||
\(270\) | 6.24930 | + | 4.45010i | 0.380320 | + | 0.270825i | ||||
\(271\) | −23.6484 | − | 5.73705i | −1.43654 | − | 0.348501i | −0.559465 | − | 0.828854i | \(-0.688993\pi\) |
−0.877075 | + | 0.480353i | \(0.840509\pi\) | |||||||
\(272\) | 2.11027 | − | 4.62085i | 0.127954 | − | 0.280180i | ||||
\(273\) | −1.11655 | + | 3.86561i | −0.0675770 | + | 0.233957i | ||||
\(274\) | −3.85895 | − | 6.00464i | −0.233127 | − | 0.362753i | ||||
\(275\) | −0.854893 | − | 0.493573i | −0.0515520 | − | 0.0297636i | ||||
\(276\) | 0.423920 | − | 1.48957i | 0.0255170 | − | 0.0896616i | ||||
\(277\) | 7.36053 | + | 12.7488i | 0.442251 | + | 0.766001i | 0.997856 | − | 0.0654449i | \(-0.0208467\pi\) |
−0.555605 | + | 0.831446i | \(0.687513\pi\) | |||||||
\(278\) | −1.88807 | + | 0.0899397i | −0.113239 | + | 0.00539423i | ||||
\(279\) | 3.08041 | + | 0.442896i | 0.184419 | + | 0.0265155i | ||||
\(280\) | 10.6512 | + | 0.460317i | 0.636531 | + | 0.0275092i | ||||
\(281\) | 7.81316 | + | 26.6092i | 0.466094 | + | 1.58737i | 0.772205 | + | 0.635374i | \(0.219154\pi\) |
−0.306111 | + | 0.951996i | \(0.599028\pi\) | |||||||
\(282\) | 3.70585 | + | 0.353866i | 0.220680 | + | 0.0210724i | ||||
\(283\) | −6.83194 | + | 19.7396i | −0.406117 | + | 1.17340i | 0.537760 | + | 0.843098i | \(0.319271\pi\) |
−0.943876 | + | 0.330299i | \(0.892850\pi\) | |||||||
\(284\) | 9.65067 | − | 7.58937i | 0.572662 | − | 0.450346i | ||||
\(285\) | 0.741583 | + | 0.777750i | 0.0439276 | + | 0.0460700i | ||||
\(286\) | 0.270917 | − | 0.312655i | 0.0160196 | − | 0.0184877i | ||||
\(287\) | −3.54544 | − | 10.0996i | −0.209281 | − | 0.596159i | ||||
\(288\) | 2.43603 | + | 1.56554i | 0.143545 | + | 0.0922505i | ||||
\(289\) | −2.87999 | − | 8.32118i | −0.169411 | − | 0.489481i | ||||
\(290\) | 7.48791 | + | 30.8656i | 0.439705 | + | 1.81249i | ||||
\(291\) | 0.688113 | + | 0.875007i | 0.0403379 | + | 0.0512938i | ||||
\(292\) | −0.706303 | − | 3.66465i | −0.0413333 | − | 0.214457i | ||||
\(293\) | 4.49035 | + | 9.83251i | 0.262329 | + | 0.574421i | 0.994264 | − | 0.106954i | \(-0.0341097\pi\) |
−0.731935 | + | 0.681375i | \(0.761382\pi\) | |||||||
\(294\) | −1.94762 | + | 1.14747i | −0.113587 | + | 0.0669221i | ||||
\(295\) | −38.8330 | − | 17.7344i | −2.26094 | − | 1.03254i | ||||
\(296\) | 1.19428 | − | 1.51866i | 0.0694164 | − | 0.0882701i | ||||
\(297\) | 0.148659 | + | 0.0766392i | 0.00862609 | + | 0.00444706i | ||||
\(298\) | −3.49332 | + | 2.01687i | −0.202363 | + | 0.116834i | ||||
\(299\) | −2.33424 | − | 22.4643i | −0.134993 | − | 1.29914i | ||||
\(300\) | 3.62881i | 0.209509i | ||||||||
\(301\) | −14.5558 | − | 1.32517i | −0.838985 | − | 0.0763818i | ||||
\(302\) | 1.69229 | − | 11.7702i | 0.0973806 | − | 0.677297i | ||||
\(303\) | −0.863096 | − | 1.21205i | −0.0495836 | − | 0.0696304i | ||||
\(304\) | 0.597692 | + | 0.569898i | 0.0342800 | + | 0.0326859i | ||||
\(305\) | 19.6568 | − | 27.6042i | 1.12555 | − | 1.58061i | ||||
\(306\) | 14.4441 | − | 2.78388i | 0.825717 | − | 0.159144i | ||||
\(307\) | −7.78017 | + | 1.11862i | −0.444038 | + | 0.0638430i | −0.360707 | − | 0.932679i | \(-0.617465\pi\) |
−0.0833302 | + | 0.996522i | \(0.526556\pi\) | |||||||
\(308\) | 0.231269 | − | 0.0231130i | 0.0131778 | − | 0.00131698i | ||||
\(309\) | 0.0458565 | + | 0.0397349i | 0.00260868 | + | 0.00226044i | ||||
\(310\) | 1.98440 | + | 3.84921i | 0.112707 | + | 0.218620i | ||||
\(311\) | −34.7580 | − | 1.65573i | −1.97095 | − | 0.0938878i | −0.977708 | − | 0.209970i | \(-0.932664\pi\) |
−0.993240 | + | 0.116082i | \(0.962967\pi\) | |||||||
\(312\) | −1.49331 | − | 0.287811i | −0.0845419 | − | 0.0162941i | ||||
\(313\) | 1.53102 | − | 1.45982i | 0.0865384 | − | 0.0825142i | −0.645575 | − | 0.763697i | \(-0.723382\pi\) |
0.732114 | + | 0.681182i | \(0.238534\pi\) | |||||||
\(314\) | 2.10950 | + | 14.6719i | 0.119046 | + | 0.827983i | ||||
\(315\) | 16.8048 | + | 25.8970i | 0.946844 | + | 1.45913i | ||||
\(316\) | 3.96226 | − | 1.80950i | 0.222894 | − | 0.101792i | ||||
\(317\) | −1.26835 | + | 5.22821i | −0.0712376 | + | 0.293645i | −0.996275 | − | 0.0862300i | \(-0.972518\pi\) |
0.925038 | + | 0.379875i | \(0.124033\pi\) | |||||||
\(318\) | 2.55781 | − | 0.244241i | 0.143435 | − | 0.0136964i | ||||
\(319\) | 0.257343 | + | 0.642811i | 0.0144084 | + | 0.0359905i | ||||
\(320\) | 0.191733 | + | 4.02497i | 0.0107182 | + | 0.225003i | ||||
\(321\) | 1.91880 | 0.107097 | ||||||||
\(322\) | 7.71579 | − | 10.0731i | 0.429984 | − | 0.561350i | ||||
\(323\) | 4.19522 | 0.233428 | ||||||||
\(324\) | 0.384097 | + | 8.06318i | 0.0213387 | + | 0.447954i | ||||
\(325\) | 19.6682 | + | 49.1289i | 1.09100 | + | 2.72518i | ||||
\(326\) | 9.67921 | − | 0.924252i | 0.536082 | − | 0.0511896i | ||||
\(327\) | −1.09478 | + | 4.51273i | −0.0605412 | + | 0.249554i | ||||
\(328\) | 3.68006 | − | 1.68063i | 0.203197 | − | 0.0927971i | ||||
\(329\) | 27.1708 | + | 13.8562i | 1.49798 | + | 0.763919i | ||||
\(330\) | 0.0162682 | + | 0.113148i | 0.000895534 | + | 0.00622857i | ||||
\(331\) | 12.4720 | − | 11.8920i | 0.685524 | − | 0.653645i | −0.265018 | − | 0.964244i | \(-0.585378\pi\) |
0.950541 | + | 0.310598i | \(0.100529\pi\) | |||||||
\(332\) | −6.55454 | − | 1.26328i | −0.359727 | − | 0.0693317i | ||||
\(333\) | 5.58819 | + | 0.266199i | 0.306231 | + | 0.0145876i | ||||
\(334\) | 8.74576 | + | 16.9644i | 0.478547 | + | 0.928251i | ||||
\(335\) | −22.3018 | − | 19.3246i | −1.21848 | − | 1.05582i | ||||
\(336\) | −0.498660 | − | 0.693775i | −0.0272041 | − | 0.0378485i | ||||
\(337\) | −5.61555 | + | 0.807395i | −0.305899 | + | 0.0439816i | −0.293555 | − | 0.955942i | \(-0.594838\pi\) |
−0.0123438 | + | 0.999924i | \(0.503929\pi\) | |||||||
\(338\) | −9.01213 | + | 1.73695i | −0.490195 | + | 0.0944774i | ||||
\(339\) | −0.380746 | + | 0.534683i | −0.0206793 | + | 0.0290400i | ||||
\(340\) | 14.8146 | + | 14.1257i | 0.803434 | + | 0.766073i | ||||
\(341\) | 0.0547636 | + | 0.0769047i | 0.00296561 | + | 0.00416462i | ||||
\(342\) | −0.340333 | + | 2.36707i | −0.0184031 | + | 0.127997i | ||||
\(343\) | −18.2953 | + | 2.87796i | −0.987852 | + | 0.155395i | ||||
\(344\) | − | 5.52434i | − | 0.297853i | ||||||
\(345\) | 5.11345 | + | 3.57740i | 0.275299 | + | 0.192601i | ||||
\(346\) | −1.03132 | + | 0.595431i | −0.0554440 | + | 0.0320106i | ||||
\(347\) | 15.9829 | + | 8.23976i | 0.858007 | + | 0.442333i | 0.830322 | − | 0.557283i | \(-0.188156\pi\) |
0.0276845 | + | 0.999617i | \(0.491187\pi\) | |||||||
\(348\) | 1.57342 | − | 2.00077i | 0.0843444 | − | 0.107253i | ||||
\(349\) | −18.3364 | − | 8.37395i | −0.981525 | − | 0.448247i | −0.140994 | − | 0.990011i | \(-0.545030\pi\) |
−0.840531 | + | 0.541763i | \(0.817757\pi\) | |||||||
\(350\) | −10.9280 | + | 27.6494i | −0.584124 | + | 1.47792i | ||||
\(351\) | −3.72467 | − | 8.15590i | −0.198808 | − | 0.435330i | ||||
\(352\) | 0.0166251 | + | 0.0862593i | 0.000886122 | + | 0.00459764i | ||||
\(353\) | −11.7955 | − | 14.9992i | −0.627810 | − | 0.798325i | 0.363257 | − | 0.931689i | \(-0.381665\pi\) |
−0.991067 | + | 0.133364i | \(0.957422\pi\) | |||||||
\(354\) | 0.806597 | + | 3.32484i | 0.0428702 | + | 0.176713i | ||||
\(355\) | 16.1807 | + | 46.7511i | 0.858784 | + | 2.48129i | ||||
\(356\) | −14.3662 | − | 9.23262i | −0.761409 | − | 0.489328i | ||||
\(357\) | −4.26538 | − | 0.802595i | −0.225748 | − | 0.0424778i | ||||
\(358\) | −16.3939 | + | 18.9196i | −0.866446 | + | 0.999932i | ||||
\(359\) | −23.9896 | − | 25.1595i | −1.26612 | − | 1.32787i | −0.921125 | − | 0.389266i | \(-0.872729\pi\) |
−0.344996 | − | 0.938604i | \(-0.612120\pi\) | |||||||
\(360\) | −9.17197 | + | 7.21292i | −0.483405 | + | 0.380154i | ||||
\(361\) | 5.99122 | − | 17.3105i | 0.315328 | − | 0.911079i | ||||
\(362\) | 7.85237 | + | 0.749810i | 0.412711 | + | 0.0394092i | ||||
\(363\) | −1.00008 | − | 3.40595i | −0.0524904 | − | 0.178766i | ||||
\(364\) | −10.5114 | − | 6.68998i | −0.550949 | − | 0.350650i | ||||
\(365\) | 14.8855 | + | 2.14021i | 0.779144 | + | 0.112024i | ||||
\(366\) | −2.71272 | + | 0.129223i | −0.141796 | + | 0.00675457i | ||||
\(367\) | −10.6476 | − | 18.4421i | −0.555798 | − | 0.962670i | −0.997841 | − | 0.0656762i | \(-0.979080\pi\) |
0.442043 | − | 0.896994i | \(-0.354254\pi\) | |||||||
\(368\) | 4.05599 | + | 2.55909i | 0.211433 | + | 0.133402i | ||||
\(369\) | 10.1456 | + | 5.85754i | 0.528156 | + | 0.304931i | ||||
\(370\) | 4.20892 | + | 6.54922i | 0.218812 | + | 0.340477i | ||||
\(371\) | 20.2246 | + | 5.84173i | 1.05001 | + | 0.303287i | ||||
\(372\) | 0.144174 | − | 0.315696i | 0.00747505 | − | 0.0163681i | ||||
\(373\) | −18.8447 | − | 4.57167i | −0.975740 | − | 0.236712i | −0.283972 | − | 0.958832i | \(-0.591652\pi\) |
−0.691767 | + | 0.722121i | \(0.743168\pi\) | |||||||
\(374\) | 0.363508 | + | 0.258853i | 0.0187965 | + | 0.0133849i | ||||
\(375\) | −7.66973 | − | 2.65452i | −0.396063 | − | 0.137079i | ||||
\(376\) | −4.28449 | + | 10.7021i | −0.220956 | + | 0.551921i | ||||
\(377\) | 10.4577 | − | 35.6156i | 0.538598 | − | 1.83430i | ||||
\(378\) | 1.62652 | − | 4.76743i | 0.0836591 | − | 0.245210i | ||||
\(379\) | 6.12944 | − | 9.53760i | 0.314848 | − | 0.489913i | −0.647376 | − | 0.762171i | \(-0.724134\pi\) |
0.962225 | + | 0.272257i | \(0.0877701\pi\) | |||||||
\(380\) | −2.95784 | + | 1.52487i | −0.151734 | + | 0.0782242i | ||||
\(381\) | −0.799991 | + | 4.15075i | −0.0409848 | + | 0.212649i | ||||
\(382\) | −16.6653 | + | 4.04295i | −0.852670 | + | 0.206855i | ||||
\(383\) | −21.9167 | − | 8.77411i | −1.11989 | − | 0.448336i | −0.263496 | − | 0.964660i | \(-0.584876\pi\) |
−0.856393 | + | 0.516324i | \(0.827300\pi\) | |||||||
\(384\) | 0.244054 | − | 0.211474i | 0.0124543 | − | 0.0107917i | ||||
\(385\) | −0.216784 | + | 0.911112i | −0.0110483 | + | 0.0464346i | ||||
\(386\) | 21.3806 | − | 6.27790i | 1.08824 | − | 0.319537i | ||||
\(387\) | 13.0307 | − | 9.27913i | 0.662389 | − | 0.471685i | ||||
\(388\) | −3.20016 | + | 1.28115i | −0.162463 | + | 0.0650405i | ||||
\(389\) | 7.16970 | − | 13.9073i | 0.363518 | − | 0.705127i | −0.634162 | − | 0.773200i | \(-0.718655\pi\) |
0.997680 | + | 0.0680733i | \(0.0216852\pi\) | |||||||
\(390\) | 3.06404 | − | 5.30707i | 0.155154 | − | 0.268734i | ||||
\(391\) | 23.8829 | − | 4.80990i | 1.20781 | − | 0.243247i | ||||
\(392\) | −1.71024 | − | 6.78786i | −0.0863801 | − | 0.342839i | ||||
\(393\) | −3.02392 | + | 1.94335i | −0.152536 | + | 0.0980292i | ||||
\(394\) | 4.90584 | + | 3.85799i | 0.247153 | + | 0.194363i | ||||
\(395\) | 1.66844 | + | 17.4727i | 0.0839485 | + | 0.879148i | ||||
\(396\) | −0.175542 | + | 0.184103i | −0.00882131 | + | 0.00925152i | ||||
\(397\) | −0.0873608 | + | 0.914883i | −0.00438451 | + | 0.0459167i | −0.997399 | − | 0.0720724i | \(-0.977039\pi\) |
0.993015 | + | 0.117989i | \(0.0376448\pi\) | |||||||
\(398\) | 1.20170 | + | 1.38684i | 0.0602358 | + | 0.0695158i | ||||
\(399\) | 0.350100 | − | 0.612613i | 0.0175269 | − | 0.0306690i | ||||
\(400\) | −10.7819 | − | 3.16587i | −0.539097 | − | 0.158293i | ||||
\(401\) | −16.5939 | + | 5.74320i | −0.828659 | + | 0.286802i | −0.708285 | − | 0.705927i | \(-0.750531\pi\) |
−0.120375 | + | 0.992729i | \(0.538410\pi\) | |||||||
\(402\) | −0.112527 | + | 2.36224i | −0.00561235 | + | 0.117818i | ||||
\(403\) | 0.240823 | − | 5.05550i | 0.0119963 | − | 0.251832i | ||||
\(404\) | 4.35424 | − | 1.50702i | 0.216632 | − | 0.0749770i | ||||
\(405\) | −31.2101 | − | 9.16411i | −1.55084 | − | 0.455368i | ||||
\(406\) | 18.0138 | − | 10.5065i | 0.894011 | − | 0.521427i | ||||
\(407\) | 0.111143 | + | 0.128266i | 0.00550916 | + | 0.00635791i | ||||
\(408\) | 0.155935 | − | 1.63303i | 0.00771994 | − | 0.0808469i | ||||
\(409\) | 10.7808 | − | 11.3066i | 0.533075 | − | 0.559073i | −0.401033 | − | 0.916064i | \(-0.631349\pi\) |
0.934108 | + | 0.356991i | \(0.116197\pi\) | |||||||
\(410\) | 1.54961 | + | 16.2283i | 0.0765300 | + | 0.801458i | ||||
\(411\) | −1.81184 | − | 1.42485i | −0.0893715 | − | 0.0702825i | ||||
\(412\) | −0.158067 | + | 0.101584i | −0.00778741 | + | 0.00500466i | ||||
\(413\) | −3.86677 | + | 27.7624i | −0.190271 | + | 1.36610i | ||||
\(414\) | 0.776419 | + | 13.8656i | 0.0381589 | + | 0.681459i | ||||
\(415\) | 13.4489 | − | 23.2942i | 0.660181 | − | 1.14347i | ||||
\(416\) | 2.15795 | − | 4.18584i | 0.105802 | − | 0.205228i | ||||
\(417\) | −0.566680 | + | 0.226865i | −0.0277505 | + | 0.0111096i | ||||
\(418\) | −0.0590957 | + | 0.0420818i | −0.00289046 | + | 0.00205829i | ||||
\(419\) | 15.2489 | − | 4.47749i | 0.744959 | − | 0.218740i | 0.112842 | − | 0.993613i | \(-0.464005\pi\) |
0.632117 | + | 0.774873i | \(0.282186\pi\) | |||||||
\(420\) | 3.29903 | − | 0.984505i | 0.160976 | − | 0.0480389i | ||||
\(421\) | 7.58201 | − | 6.56985i | 0.369525 | − | 0.320195i | −0.450227 | − | 0.892914i | \(-0.648657\pi\) |
0.819752 | + | 0.572719i | \(0.194111\pi\) | |||||||
\(422\) | −2.11476 | − | 0.846623i | −0.102945 | − | 0.0412130i | ||||
\(423\) | −32.4406 | + | 7.87001i | −1.57732 | + | 0.382653i | ||||
\(424\) | −1.50581 | + | 7.81287i | −0.0731285 | + | 0.379427i | ||||
\(425\) | −50.7379 | + | 26.1572i | −2.46115 | + | 1.26881i | ||||
\(426\) | 2.14350 | − | 3.33534i | 0.103853 | − | 0.161598i | ||||
\(427\) | −21.0585 | − | 7.18460i | −1.01909 | − | 0.347687i | ||||
\(428\) | −1.67401 | + | 5.70116i | −0.0809164 | + | 0.275576i | ||||
\(429\) | 0.0496528 | − | 0.124027i | 0.00239726 | − | 0.00598807i | ||||
\(430\) | 21.0362 | + | 7.28070i | 1.01446 | + | 0.351107i | ||||
\(431\) | 12.9865 | + | 9.24764i | 0.625537 | + | 0.445443i | 0.848363 | − | 0.529415i | \(-0.177589\pi\) |
−0.222826 | + | 0.974858i | \(0.571528\pi\) | |||||||
\(432\) | 1.85024 | + | 0.448862i | 0.0890195 | + | 0.0215959i | ||||
\(433\) | −2.37231 | + | 5.19463i | −0.114006 | + | 0.249638i | −0.958030 | − | 0.286667i | \(-0.907453\pi\) |
0.844025 | + | 0.536304i | \(0.180180\pi\) | |||||||
\(434\) | 2.04922 | − | 1.97125i | 0.0983658 | − | 0.0946232i | ||||
\(435\) | 5.54510 | + | 8.62834i | 0.265867 | + | 0.413697i | ||||
\(436\) | −12.4531 | − | 7.18983i | −0.596398 | − | 0.344330i | ||||
\(437\) | −0.530949 | + | 3.92486i | −0.0253987 | + | 0.187752i | ||||
\(438\) | −0.602602 | − | 1.04374i | −0.0287934 | − | 0.0498717i | ||||
\(439\) | 34.2354 | − | 1.63083i | 1.63397 | − | 0.0778355i | 0.789608 | − | 0.613612i | \(-0.210284\pi\) |
0.844360 | + | 0.535777i | \(0.179981\pi\) | |||||||
\(440\) | −0.350378 | − | 0.0503768i | −0.0167036 | − | 0.00240162i | ||||
\(441\) | 13.1384 | − | 15.4355i | 0.625639 | − | 0.735025i | ||||
\(442\) | −6.73991 | − | 22.9540i | −0.320585 | − | 1.09181i | ||||
\(443\) | 6.03349 | + | 0.576129i | 0.286660 | + | 0.0273727i | 0.237395 | − | 0.971413i | \(-0.423706\pi\) |
0.0492643 | + | 0.998786i | \(0.484312\pi\) | |||||||
\(444\) | 0.204058 | − | 0.589587i | 0.00968417 | − | 0.0279806i | ||||
\(445\) | 54.0907 | − | 42.5374i | 2.56415 | − | 2.01647i | ||||
\(446\) | −15.4434 | − | 16.1966i | −0.731267 | − | 0.766931i | ||||
\(447\) | −0.853032 | + | 0.984451i | −0.0403470 | + | 0.0465630i | ||||
\(448\) | 2.49640 | − | 0.876356i | 0.117944 | − | 0.0414039i | ||||
\(449\) | 26.6866 | + | 17.1504i | 1.25942 | + | 0.809379i | 0.988204 | − | 0.153140i | \(-0.0489386\pi\) |
0.271214 | + | 0.962519i | \(0.412575\pi\) | |||||||
\(450\) | −10.6426 | − | 30.7499i | −0.501699 | − | 1.44956i | ||||
\(451\) | 0.0837882 | + | 0.345380i | 0.00394543 | + | 0.0162633i | ||||
\(452\) | −1.25648 | − | 1.59775i | −0.0591000 | − | 0.0751518i | ||||
\(453\) | −0.726729 | − | 3.77063i | −0.0341447 | − | 0.177160i | ||||
\(454\) | −6.04205 | − | 13.2302i | −0.283567 | − | 0.620926i | ||||
\(455\) | 39.3282 | − | 31.2097i | 1.84373 | − | 1.46313i | ||||
\(456\) | 0.242590 | + | 0.110787i | 0.0113603 | + | 0.00518808i | ||||
\(457\) | −18.6975 | + | 23.7758i | −0.874632 | + | 1.11218i | 0.118239 | + | 0.992985i | \(0.462275\pi\) |
−0.992870 | + | 0.119199i | \(0.961967\pi\) | |||||||
\(458\) | 18.7158 | + | 9.64868i | 0.874534 | + | 0.450853i | ||||
\(459\) | 8.37590 | − | 4.83583i | 0.390953 | − | 0.225717i | ||||
\(460\) | −15.0903 | + | 12.0721i | −0.703590 | + | 0.562866i | ||||
\(461\) | 32.8899i | 1.53184i | 0.642937 | + | 0.765919i | \(0.277716\pi\) | ||||
−0.642937 | + | 0.765919i | \(0.722284\pi\) | |||||||
\(462\) | 0.0681348 | − | 0.0314800i | 0.00316992 | − | 0.00146458i | ||||
\(463\) | 2.29114 | − | 15.9352i | 0.106478 | − | 0.740573i | −0.864712 | − | 0.502268i | \(-0.832499\pi\) |
0.971190 | − | 0.238305i | \(-0.0765917\pi\) | |||||||
\(464\) | 4.57202 | + | 6.42050i | 0.212251 | + | 0.298064i | ||||
\(465\) | 1.01213 | + | 0.965066i | 0.0469365 | + | 0.0447539i | ||||
\(466\) | 8.20921 | − | 11.5282i | 0.380284 | − | 0.534035i | ||||
\(467\) | −35.6853 | + | 6.87778i | −1.65132 | + | 0.318266i | −0.928094 | − | 0.372346i | \(-0.878554\pi\) |
−0.723226 | + | 0.690612i | \(0.757341\pi\) | |||||||
\(468\) | 13.4981 | − | 1.94074i | 0.623952 | − | 0.0897107i | ||||
\(469\) | −7.97115 | + | 17.6600i | −0.368073 | + | 0.815465i | ||||
\(470\) | −35.1062 | − | 30.4197i | −1.61933 | − | 1.40315i | ||||
\(471\) | 2.19340 | + | 4.25460i | 0.101067 | + | 0.196042i | ||||
\(472\) | −10.5825 | − | 0.504107i | −0.487099 | − | 0.0232034i | ||||
\(473\) | 0.476526 | + | 0.0918428i | 0.0219107 | + | 0.00422294i | ||||
\(474\) | 1.01804 | − | 0.970698i | 0.0467601 | − | 0.0445856i | ||||
\(475\) | −1.32070 | − | 9.18566i | −0.0605978 | − | 0.421467i | ||||
\(476\) | 6.10591 | − | 11.9731i | 0.279864 | − | 0.548788i | ||||
\(477\) | −20.9581 | + | 9.57126i | −0.959607 | + | 0.438238i | ||||
\(478\) | −2.98913 | + | 12.3214i | −0.136720 | + | 0.563566i | ||||
\(479\) | 21.5697 | − | 2.05966i | 0.985544 | − | 0.0941081i | 0.410179 | − | 0.912005i | \(-0.365466\pi\) |
0.575365 | + | 0.817897i | \(0.304860\pi\) | |||||||
\(480\) | 0.483628 | + | 1.20804i | 0.0220745 | + | 0.0551395i | ||||
\(481\) | −0.432923 | − | 9.08817i | −0.0197396 | − | 0.414385i | ||||
\(482\) | 15.6474 | 0.712721 | ||||||||
\(483\) | 1.29070 | − | 3.88893i | 0.0587290 | − | 0.176952i | ||||
\(484\) | 10.9923 | 0.499649 | ||||||||
\(485\) | −0.660918 | − | 13.8744i | −0.0300108 | − | 0.630003i | ||||
\(486\) | 3.09168 | + | 7.72263i | 0.140241 | + | 0.350306i | ||||
\(487\) | −0.986835 | + | 0.0942314i | −0.0447178 | + | 0.00427003i | −0.117391 | − | 0.993086i | \(-0.537453\pi\) |
0.0726732 | + | 0.997356i | \(0.476847\pi\) | |||||||
\(488\) | 1.98270 | − | 8.17279i | 0.0897525 | − | 0.369965i | ||||
\(489\) | 2.85618 | − | 1.30437i | 0.129161 | − | 0.0589857i | ||||
\(490\) | 28.1016 | + | 2.43350i | 1.26950 | + | 0.109934i | ||||
\(491\) | 3.35586 | + | 23.3405i | 0.151448 | + | 1.05334i | 0.913795 | + | 0.406175i | \(0.133138\pi\) |
−0.762347 | + | 0.647168i | \(0.775953\pi\) | |||||||
\(492\) | 0.945532 | − | 0.901563i | 0.0426279 | − | 0.0406456i | ||||
\(493\) | 39.3164 | + | 7.57761i | 1.77072 | + | 0.341278i | ||||
\(494\) | 3.88479 | + | 0.185055i | 0.174785 | + | 0.00832603i | ||||
\(495\) | −0.469696 | − | 0.911083i | −0.0211113 | − | 0.0409501i | ||||
\(496\) | 0.812219 | + | 0.703792i | 0.0364697 | + | 0.0316012i | ||||
\(497\) | 26.3764 | − | 18.9584i | 1.18314 | − | 0.850401i | ||||
\(498\) | −2.13367 | + | 0.306776i | −0.0956121 | + | 0.0137469i | ||||
\(499\) | −23.7855 | + | 4.58428i | −1.06478 | + | 0.205220i | −0.691412 | − | 0.722461i | \(-0.743011\pi\) |
−0.373373 | + | 0.927681i | \(0.621799\pi\) | |||||||
\(500\) | 14.5784 | − | 20.4725i | 0.651966 | − | 0.915559i | ||||
\(501\) | 4.46071 | + | 4.25328i | 0.199290 | + | 0.190023i | ||||
\(502\) | 4.25739 | + | 5.97866i | 0.190016 | + | 0.266841i | ||||
\(503\) | 3.28260 | − | 22.8310i | 0.146364 | − | 1.01798i | −0.775743 | − | 0.631049i | \(-0.782625\pi\) |
0.922107 | − | 0.386935i | \(-0.126466\pi\) | |||||||
\(504\) | 6.26028 | + | 4.41646i | 0.278855 | + | 0.196725i | ||||
\(505\) | 18.5667i | 0.826208i | ||||||||
\(506\) | −0.288177 | + | 0.307321i | −0.0128110 | + | 0.0136621i | ||||
\(507\) | −2.56677 | + | 1.48192i | −0.113994 | + | 0.0658145i | ||||
\(508\) | −11.6348 | − | 5.99816i | −0.516211 | − | 0.266125i | ||||
\(509\) | −6.00499 | + | 7.63597i | −0.266167 | + | 0.338458i | −0.900704 | − | 0.434434i | \(-0.856948\pi\) |
0.634537 | + | 0.772892i | \(0.281191\pi\) | |||||||
\(510\) | 6.01291 | + | 2.74600i | 0.266256 | + | 0.121595i | ||||
\(511\) | −1.44833 | − | 9.76739i | −0.0640701 | − | 0.432084i | ||||
\(512\) | 0.415415 | + | 0.909632i | 0.0183589 | + | 0.0402004i | ||||
\(513\) | 0.297565 | + | 1.54391i | 0.0131378 | + | 0.0681655i | ||||
\(514\) | −5.95011 | − | 7.56618i | −0.262448 | − | 0.333730i | ||||
\(515\) | −0.178500 | − | 0.735785i | −0.00786563 | − | 0.0324226i | ||||
\(516\) | −0.583481 | − | 1.68586i | −0.0256863 | − | 0.0742158i | ||||
\(517\) | −0.851929 | − | 0.547502i | −0.0374678 | − | 0.0240791i | ||||
\(518\) | 3.33032 | − | 3.87781i | 0.146326 | − | 0.170381i | ||||
\(519\) | −0.251837 | + | 0.290635i | −0.0110544 | + | 0.0127575i | ||||
\(520\) | 13.0953 | + | 13.7339i | 0.574266 | + | 0.602273i | ||||
\(521\) | −22.9981 | + | 18.0859i | −1.00757 | + | 0.792358i | −0.978296 | − | 0.207214i | \(-0.933560\pi\) |
−0.0292693 | + | 0.999572i | \(0.509318\pi\) | |||||||
\(522\) | −7.46503 | + | 21.5688i | −0.326735 | + | 0.944040i | ||||
\(523\) | 16.0771 | + | 1.53518i | 0.703003 | + | 0.0671286i | 0.440434 | − | 0.897785i | \(-0.354824\pi\) |
0.262568 | + | 0.964913i | \(0.415430\pi\) | |||||||
\(524\) | −3.13597 | − | 10.6801i | −0.136995 | − | 0.466563i | ||||
\(525\) | −0.414540 | + | 9.59196i | −0.0180920 | + | 0.418628i | ||||
\(526\) | −8.77413 | − | 1.26153i | −0.382570 | − | 0.0550053i | ||||
\(527\) | 5.45329 | − | 0.259772i | 0.237549 | − | 0.0113159i | ||||
\(528\) | 0.0141842 | + | 0.0245677i | 0.000617287 | + | 0.00106917i | ||||
\(529\) | 1.47731 | + | 22.9525i | 0.0642308 | + | 0.997935i | ||||
\(530\) | −27.7662 | − | 16.0308i | −1.20609 | − | 0.696334i | ||||
\(531\) | −16.5861 | − | 25.8085i | −0.719777 | − | 1.11999i | ||||
\(532\) | 1.51477 | + | 1.57468i | 0.0656734 | + | 0.0682710i | ||||
\(533\) | 7.91466 | − | 17.3307i | 0.342822 | − | 0.750676i | ||||
\(534\) | −5.35928 | − | 1.30015i | −0.231919 | − | 0.0562629i | ||||
\(535\) | −19.5033 | − | 13.8882i | −0.843201 | − | 0.600440i | ||||
\(536\) | −6.92054 | − | 2.39522i | −0.298922 | − | 0.103458i | ||||
\(537\) | −3.00463 | + | 7.50520i | −0.129659 | + | 0.323873i | ||||
\(538\) | 1.64300 | − | 5.59556i | 0.0708349 | − | 0.241242i | ||||
\(539\) | 0.613949 | − | 0.0346749i | 0.0264447 | − | 0.00149355i | ||||
\(540\) | −4.14771 | + | 6.45396i | −0.178489 | + | 0.277734i | ||||
\(541\) | 14.0536 | − | 7.24515i | 0.604213 | − | 0.311494i | −0.128839 | − | 0.991665i | \(-0.541125\pi\) |
0.733053 | + | 0.680172i | \(0.238095\pi\) | |||||||
\(542\) | 4.60531 | − | 23.8946i | 0.197815 | − | 1.02636i | ||||
\(543\) | 2.47550 | − | 0.600549i | 0.106234 | − | 0.0257720i | ||||
\(544\) | 4.71602 | + | 1.88801i | 0.202198 | + | 0.0809478i | ||||
\(545\) | 43.7906 | − | 37.9448i | 1.87578 | − | 1.62538i | ||||
\(546\) | −3.91436 | − | 0.931357i | −0.167519 | − | 0.0398584i | ||||
\(547\) | −13.1982 | + | 3.87533i | −0.564313 | + | 0.165697i | −0.551432 | − | 0.834220i | \(-0.685918\pi\) |
−0.0128807 | + | 0.999917i | \(0.504100\pi\) | |||||||
\(548\) | 5.81422 | − | 4.14029i | 0.248371 | − | 0.176864i | ||||
\(549\) | 22.6081 | − | 9.05093i | 0.964891 | − | 0.386284i | ||||
\(550\) | 0.452336 | − | 0.877410i | 0.0192877 | − | 0.0374129i | ||||
\(551\) | −3.25466 | + | 5.63724i | −0.138653 | + | 0.240154i | ||||
\(552\) | 1.50805 | + | 0.352563i | 0.0641870 | + | 0.0150061i | ||||
\(553\) | 10.6801 | − | 4.33040i | 0.454163 | − | 0.184147i | ||||
\(554\) | −12.3841 | + | 7.95880i | −0.526152 | + | 0.338137i | ||||
\(555\) | 1.97616 | + | 1.55407i | 0.0838834 | + | 0.0659666i | ||||
\(556\) | −0.179676 | − | 1.88165i | −0.00761995 | − | 0.0797997i | ||||
\(557\) | −9.13648 | + | 9.58207i | −0.387125 | + | 0.406005i | −0.888243 | − | 0.459374i | \(-0.848074\pi\) |
0.501118 | + | 0.865379i | \(0.332922\pi\) | |||||||
\(558\) | −0.295822 | + | 3.09799i | −0.0125232 | + | 0.131148i | ||||
\(559\) | −17.0369 | − | 19.6616i | −0.720584 | − | 0.831599i | ||||
\(560\) | 0.0470083 | + | 10.6610i | 0.00198646 | + | 0.450511i | ||||
\(561\) | 0.138271 | + | 0.0406001i | 0.00583782 | + | 0.00171414i | ||||
\(562\) | −26.2073 | + | 9.07042i | −1.10549 | + | 0.382613i | ||||
\(563\) | −0.131376 | + | 2.75792i | −0.00553683 | + | 0.116232i | 0.994407 | + | 0.105617i | \(0.0336819\pi\) |
−0.999944 | + | 0.0106148i | \(0.996621\pi\) | |||||||
\(564\) | −0.177134 | + | 3.71849i | −0.00745867 | + | 0.156577i | ||||
\(565\) | 7.74005 | − | 2.67886i | 0.325626 | − | 0.112700i | ||||
\(566\) | −20.0423 | − | 5.88495i | −0.842441 | − | 0.247363i | ||||
\(567\) | 0.0941713 | + | 21.3571i | 0.00395482 | + | 0.896916i | ||||
\(568\) | 8.03997 | + | 9.27862i | 0.337350 | + | 0.389322i | ||||
\(569\) | 2.53606 | − | 26.5588i | 0.106317 | − | 1.11340i | −0.772098 | − | 0.635504i | \(-0.780792\pi\) |
0.878415 | − | 0.477899i | \(-0.158602\pi\) | |||||||
\(570\) | −0.741583 | + | 0.777750i | −0.0310615 | + | 0.0325764i | ||||
\(571\) | 1.14223 | + | 11.9620i | 0.0478009 | + | 0.500593i | 0.987392 | + | 0.158294i | \(0.0505995\pi\) |
−0.939591 | + | 0.342299i | \(0.888794\pi\) | |||||||
\(572\) | 0.325191 | + | 0.255733i | 0.0135969 | + | 0.0106927i | ||||
\(573\) | −4.65871 | + | 2.99397i | −0.194620 | + | 0.125075i | ||||
\(574\) | 9.91943 | − | 4.02198i | 0.414029 | − | 0.167874i | ||||
\(575\) | −18.0501 | − | 50.7787i | −0.752743 | − | 2.11762i | ||||
\(576\) | −1.44786 | + | 2.50776i | −0.0603274 | + | 0.104490i | ||||
\(577\) | −0.898904 | + | 1.74363i | −0.0374219 | + | 0.0725883i | −0.906805 | − | 0.421550i | \(-0.861486\pi\) |
0.869383 | + | 0.494138i | \(0.164516\pi\) | |||||||
\(578\) | 8.17472 | − | 3.27267i | 0.340024 | − | 0.136125i | ||||
\(579\) | 5.86161 | − | 4.17404i | 0.243600 | − | 0.173467i | ||||
\(580\) | −30.4743 | + | 8.94807i | −1.26538 | + | 0.371548i | ||||
\(581\) | −17.1812 | − | 4.08798i | −0.712797 | − | 0.169598i | ||||
\(582\) | −0.841274 | + | 0.728968i | −0.0348719 | + | 0.0302167i | ||||
\(583\) | −0.648898 | − | 0.259780i | −0.0268746 | − | 0.0107590i | ||||
\(584\) | 3.62689 | − | 0.879874i | 0.150082 | − | 0.0364095i | ||||
\(585\) | −10.3995 | + | 53.9575i | −0.429964 | + | 2.23087i | ||||
\(586\) | −9.60771 | + | 4.95312i | −0.396891 | + | 0.204611i | ||||
\(587\) | −16.1578 | + | 25.1420i | −0.666902 | + | 1.03772i | 0.328736 | + | 0.944422i | \(0.393377\pi\) |
−0.995638 | + | 0.0932983i | \(0.970259\pi\) | |||||||
\(588\) | −1.23885 | − | 1.89081i | −0.0510891 | − | 0.0779757i | ||||
\(589\) | −0.250052 | + | 0.851599i | −0.0103032 | + | 0.0350895i | ||||
\(590\) | 15.8666 | − | 39.6328i | 0.653217 | − | 1.63166i | ||||
\(591\) | 1.90459 | + | 0.659186i | 0.0783444 | + | 0.0271153i | ||||
\(592\) | 1.57376 | + | 1.12067i | 0.0646813 | + | 0.0460593i | ||||
\(593\) | −34.2671 | − | 8.31311i | −1.40718 | − | 0.341378i | −0.540964 | − | 0.841046i | \(-0.681940\pi\) |
−0.866217 | + | 0.499667i | \(0.833456\pi\) | |||||||
\(594\) | −0.0694789 | + | 0.152138i | −0.00285075 | + | 0.00624228i | ||||
\(595\) | 37.5455 | + | 39.0305i | 1.53922 | + | 1.60010i | ||||
\(596\) | −2.18081 | − | 3.39340i | −0.0893293 | − | 0.138999i | ||||
\(597\) | 0.513200 | + | 0.296296i | 0.0210039 | + | 0.0121266i | ||||
\(598\) | 22.3278 | − | 3.40049i | 0.913051 | − | 0.139056i | ||||
\(599\) | −23.7235 | − | 41.0904i | −0.969318 | − | 1.67891i | −0.697538 | − | 0.716548i | \(-0.745721\pi\) |
−0.271780 | − | 0.962359i | \(-0.587612\pi\) | |||||||
\(600\) | −3.62470 | + | 0.172666i | −0.147978 | + | 0.00704904i | ||||
\(601\) | −1.78534 | − | 0.256692i | −0.0728253 | − | 0.0104707i | 0.105806 | − | 0.994387i | \(-0.466258\pi\) |
−0.178631 | + | 0.983916i | \(0.557167\pi\) | |||||||
\(602\) | 0.631079 | − | 14.6024i | 0.0257208 | − | 0.595150i | ||||
\(603\) | −5.97449 | − | 20.3472i | −0.243300 | − | 0.828603i | ||||
\(604\) | 11.8374 | + | 1.13033i | 0.481655 | + | 0.0459925i | ||||
\(605\) | −14.4871 | + | 41.8576i | −0.588983 | + | 1.70176i | ||||
\(606\) | 1.16961 | − | 0.919791i | 0.0475121 | − | 0.0373639i | ||||
\(607\) | 7.33332 | + | 7.69097i | 0.297650 | + | 0.312167i | 0.855528 | − | 0.517756i | \(-0.173233\pi\) |
−0.557878 | + | 0.829923i | \(0.688384\pi\) | |||||||
\(608\) | −0.540813 | + | 0.624132i | −0.0219329 | + | 0.0253119i | ||||
\(609\) | 4.38757 | − | 5.10887i | 0.177793 | − | 0.207022i | ||||
\(610\) | 28.5082 | + | 18.3211i | 1.15426 | + | 0.741800i | ||||
\(611\) | 17.7562 | + | 51.3032i | 0.718339 | + | 2.07550i | ||||
\(612\) | 3.46801 | + | 14.2953i | 0.140186 | + | 0.577854i | ||||
\(613\) | 3.92356 | + | 4.98921i | 0.158471 | + | 0.201512i | 0.858804 | − | 0.512304i | \(-0.171208\pi\) |
−0.700333 | + | 0.713816i | \(0.746965\pi\) | |||||||
\(614\) | −1.48755 | − | 7.71813i | −0.0600325 | − | 0.311478i | ||||
\(615\) | 2.18693 | + | 4.78870i | 0.0881854 | + | 0.193099i | ||||
\(616\) | 0.0340910 | + | 0.229907i | 0.00137356 | + | 0.00926322i | ||||
\(617\) | 2.90778 | + | 1.32794i | 0.117063 | + | 0.0534608i | 0.473086 | − | 0.881017i | \(-0.343140\pi\) |
−0.356023 | + | 0.934477i | \(0.615867\pi\) | |||||||
\(618\) | −0.0375079 | + | 0.0476952i | −0.00150879 | + | 0.00191858i | ||||
\(619\) | −28.1405 | − | 14.5075i | −1.13106 | − | 0.583104i | −0.212022 | − | 0.977265i | \(-0.568005\pi\) |
−0.919041 | + | 0.394161i | \(0.871035\pi\) | |||||||
\(620\) | −3.75042 | + | 2.16531i | −0.150621 | + | 0.0869609i | ||||
\(621\) | 3.46413 | + | 8.44815i | 0.139011 | + | 0.339013i | ||||
\(622\) | − | 34.7975i | − | 1.39525i | ||||||
\(623\) | −36.9194 | − | 26.0456i | −1.47914 | − | 1.04349i | ||||
\(624\) | 0.216431 | − | 1.50531i | 0.00866418 | − | 0.0602607i | ||||
\(625\) | 26.1533 | + | 36.7272i | 1.04613 | + | 1.46909i | ||||
\(626\) | 1.53102 | + | 1.45982i | 0.0611919 | + | 0.0583463i | ||||
\(627\) | −0.0135895 | + | 0.0190838i | −0.000542712 | + | 0.000762132i | ||||
\(628\) | −14.5549 | + | 2.80523i | −0.580804 | + | 0.111941i | ||||
\(629\) | 9.71450 | − | 1.39673i | 0.387343 | − | 0.0556914i | ||||
\(630\) | −25.0681 | + | 18.0180i | −0.998737 | + | 0.717855i | ||||
\(631\) | 21.4399 | + | 18.5778i | 0.853508 | + | 0.739569i | 0.967219 | − | 0.253945i | \(-0.0817283\pi\) |
−0.113711 | + | 0.993514i | \(0.536274\pi\) | |||||||
\(632\) | 1.99598 | + | 3.87167i | 0.0793960 | + | 0.154007i | ||||
\(633\) | −0.734780 | − | 0.0350019i | −0.0292049 | − | 0.00139120i | ||||
\(634\) | −5.28264 | − | 1.01814i | −0.209800 | − | 0.0404357i | ||||
\(635\) | 38.1744 | − | 36.3992i | 1.51490 | − | 1.44446i | ||||
\(636\) | 0.365670 | + | 2.54329i | 0.0144998 | + | 0.100848i | ||||
\(637\) | −27.0205 | − | 18.8843i | −1.07059 | − | 0.748223i | ||||
\(638\) | −0.629838 | + | 0.287638i | −0.0249355 | + | 0.0113877i | ||||
\(639\) | −8.38165 | + | 34.5496i | −0.331573 | + | 1.36676i | ||||
\(640\) | −4.01129 | + | 0.383031i | −0.158560 | + | 0.0151406i | ||||
\(641\) | 10.7489 | + | 26.8495i | 0.424557 | + | 1.06049i | 0.974319 | + | 0.225170i | \(0.0722938\pi\) |
−0.549763 | + | 0.835321i | \(0.685282\pi\) | |||||||
\(642\) | 0.0913002 | + | 1.91663i | 0.00360333 | + | 0.0756432i | ||||
\(643\) | 0.757834 | 0.0298860 | 0.0149430 | − | 0.999888i | \(-0.495243\pi\) | ||||
0.0149430 | + | 0.999888i | \(0.495243\pi\) | |||||||
\(644\) | 10.4288 | + | 7.22775i | 0.410952 | + | 0.284813i | ||||
\(645\) | 7.18859 | 0.283050 | ||||||||
\(646\) | 0.199616 | + | 4.19046i | 0.00785380 | + | 0.164872i | ||||
\(647\) | 6.28989 | + | 15.7114i | 0.247281 | + | 0.617678i | 0.999132 | − | 0.0416550i | \(-0.0132630\pi\) |
−0.751851 | + | 0.659333i | \(0.770839\pi\) | |||||||
\(648\) | −8.03577 | + | 0.767323i | −0.315675 | + | 0.0301433i | ||||
\(649\) | 0.219419 | − | 0.904458i | 0.00861295 | − | 0.0355031i | ||||
\(650\) | −48.1374 | + | 21.9836i | −1.88810 | + | 0.862268i | ||||
\(651\) | 0.417156 | − | 0.818005i | 0.0163496 | − | 0.0320601i | ||||
\(652\) | 1.38376 | + | 9.62427i | 0.0541923 | + | 0.376915i | ||||
\(653\) | 7.19627 | − | 6.86163i | 0.281612 | − | 0.268516i | −0.536087 | − | 0.844163i | \(-0.680098\pi\) |
0.817699 | + | 0.575647i | \(0.195250\pi\) | |||||||
\(654\) | −4.55971 | − | 0.878811i | −0.178299 | − | 0.0343642i | ||||
\(655\) | 44.8019 | + | 2.13418i | 1.75056 | + | 0.0833893i | ||||
\(656\) | 1.85383 | + | 3.59592i | 0.0723798 | + | 0.140397i | ||||
\(657\) | 8.16745 | + | 7.07713i | 0.318642 | + | 0.276105i | ||||
\(658\) | −12.5477 | + | 27.7994i | −0.489160 | + | 1.08373i | ||||
\(659\) | 22.7092 | − | 3.26509i | 0.884625 | − | 0.127190i | 0.314997 | − | 0.949093i | \(-0.397996\pi\) |
0.569628 | + | 0.821903i | \(0.307087\pi\) | |||||||
\(660\) | −0.112245 | + | 0.0216335i | −0.00436915 | + | 0.000842084i | ||||
\(661\) | −13.2277 | + | 18.5757i | −0.514498 | + | 0.722511i | −0.987337 | − | 0.158638i | \(-0.949290\pi\) |
0.472839 | + | 0.881149i | \(0.343229\pi\) | |||||||
\(662\) | 12.4720 | + | 11.8920i | 0.484738 | + | 0.462197i | ||||
\(663\) | −4.48122 | − | 6.29299i | −0.174036 | − | 0.244399i | ||||
\(664\) | 0.949976 | − | 6.60723i | 0.0368662 | − | 0.256410i | ||||
\(665\) | −7.99260 | + | 3.69278i | −0.309940 | + | 0.143200i | ||||
\(666\) | 5.59453i | 0.216784i | ||||||||
\(667\) | −12.0652 | + | 35.8237i | −0.467166 | + | 1.38710i | ||||
\(668\) | −16.5290 | + | 9.54305i | −0.639528 | + | 0.369232i | ||||
\(669\) | −6.42354 | − | 3.31156i | −0.248348 | − | 0.128032i | ||||
\(670\) | 18.2416 | − | 23.1961i | 0.704734 | − | 0.896142i | ||||
\(671\) | 0.672016 | + | 0.306900i | 0.0259429 | + | 0.0118477i | ||||
\(672\) | 0.669262 | − | 0.531106i | 0.0258174 | − | 0.0204879i | ||||
\(673\) | 17.0422 | + | 37.3172i | 0.656929 | + | 1.43847i | 0.885357 | + | 0.464912i | \(0.153914\pi\) |
−0.228428 | + | 0.973561i | \(0.573359\pi\) | |||||||
\(674\) | −1.07368 | − | 5.57078i | −0.0413566 | − | 0.214578i | ||||
\(675\) | −13.2251 | − | 16.8171i | −0.509036 | − | 0.647292i | ||||
\(676\) | −2.16379 | − | 8.91928i | −0.0832228 | − | 0.343049i | ||||
\(677\) | −2.64810 | − | 7.65119i | −0.101775 | − | 0.294059i | 0.882605 | − | 0.470115i | \(-0.155787\pi\) |
−0.984380 | + | 0.176055i | \(0.943666\pi\) | |||||||
\(678\) | −0.552194 | − | 0.354874i | −0.0212069 | − | 0.0136288i | ||||
\(679\) | −8.60528 | + | 3.02087i | −0.330240 | + | 0.115930i | ||||
\(680\) | −13.4048 | + | 15.4699i | −0.514050 | + | 0.593245i | ||||
\(681\) | −3.24122 | − | 3.39930i | −0.124204 | − | 0.130261i | ||||
\(682\) | −0.0742118 | + | 0.0583608i | −0.00284172 | + | 0.00223475i | ||||
\(683\) | −14.0606 | + | 40.6254i | −0.538014 | + | 1.55449i | 0.268504 | + | 0.963278i | \(0.413471\pi\) |
−0.806518 | + | 0.591210i | \(0.798651\pi\) | |||||||
\(684\) | −2.38058 | − | 0.227318i | −0.0910239 | − | 0.00869172i | ||||
\(685\) | 8.10311 | + | 27.5967i | 0.309604 | + | 1.05441i | ||||
\(686\) | −3.74523 | − | 18.1376i | −0.142993 | − | 0.692498i | ||||
\(687\) | 6.73059 | + | 0.967712i | 0.256788 | + | 0.0369205i | ||||
\(688\) | 5.51809 | − | 0.262859i | 0.210375 | − | 0.0100214i | ||||
\(689\) | 18.7353 | + | 32.4506i | 0.713760 | + | 1.23627i | ||||
\(690\) | −3.33004 | + | 5.27788i | −0.126772 | + | 0.200925i | ||||
\(691\) | −29.6228 | − | 17.1027i | −1.12691 | − | 0.650619i | −0.183751 | − | 0.982973i | \(-0.558824\pi\) |
−0.943155 | + | 0.332354i | \(0.892157\pi\) | |||||||
\(692\) | −0.643829 | − | 1.00182i | −0.0244747 | − | 0.0380834i | ||||
\(693\) | −0.485038 | + | 0.466583i | −0.0184251 | + | 0.0177240i | ||||
\(694\) | −7.46993 | + | 16.3569i | −0.283555 | + | 0.620898i | ||||
\(695\) | 7.40195 | + | 1.79569i | 0.280772 | + | 0.0681146i | ||||
\(696\) | 2.07337 | + | 1.47644i | 0.0785910 | + | 0.0559644i | ||||
\(697\) | 19.4213 | + | 6.72176i | 0.735632 | + | 0.254605i | ||||
\(698\) | 7.49199 | − | 18.7141i | 0.283576 | − | 0.708338i | ||||
\(699\) | 1.28759 | − | 4.38512i | 0.0487010 | − | 0.165860i | ||||
\(700\) | −28.1381 | − | 9.59997i | −1.06352 | − | 0.362845i | ||||
\(701\) | 15.1989 | − | 23.6500i | 0.574055 | − | 0.893248i | −0.425878 | − | 0.904781i | \(-0.640035\pi\) |
0.999933 | + | 0.0115329i | \(0.00367113\pi\) | |||||||
\(702\) | 7.96943 | − | 4.10853i | 0.300787 | − | 0.155066i | ||||
\(703\) | −0.301957 | + | 1.56670i | −0.0113885 | + | 0.0590892i | ||||
\(704\) | −0.0853705 | + | 0.0207107i | −0.00321752 | + | 0.000780563i | ||||
\(705\) | −13.9262 | − | 5.57523i | −0.524493 | − | 0.209975i | ||||
\(706\) | 14.4209 | − | 12.4958i | 0.542739 | − | 0.470286i | ||||
\(707\) | 11.6817 | − | 3.48607i | 0.439334 | − | 0.131107i | ||||
\(708\) | −3.28269 | + | 0.963886i | −0.123371 | + | 0.0362251i | ||||
\(709\) | 16.6859 | − | 11.8819i | 0.626650 | − | 0.446236i | −0.222104 | − | 0.975023i | \(-0.571292\pi\) |
0.848754 | + | 0.528787i | \(0.177353\pi\) | |||||||
\(710\) | −45.9283 | + | 18.3869i | −1.72366 | + | 0.690048i | ||||
\(711\) | −5.77980 | + | 11.2113i | −0.216760 | + | 0.420455i | ||||
\(712\) | 8.53859 | − | 14.7893i | 0.319997 | − | 0.554251i | ||||
\(713\) | −0.447140 | + | 5.13474i | −0.0167455 | + | 0.192298i | ||||
\(714\) | 0.598731 | − | 4.29874i | 0.0224070 | − | 0.160876i | ||||
\(715\) | −1.40239 | + | 0.901261i | −0.0524464 | + | 0.0337052i | ||||
\(716\) | −19.6782 | − | 15.4751i | −0.735410 | − | 0.578332i | ||||
\(717\) | 0.389193 | + | 4.07581i | 0.0145347 | + | 0.152214i | ||||
\(718\) | 23.9896 | − | 25.1595i | 0.895283 | − | 0.938946i | ||||
\(719\) | 1.56509 | − | 16.3904i | 0.0583681 | − | 0.611258i | −0.918210 | − | 0.396094i | \(-0.870365\pi\) |
0.976578 | − | 0.215164i | \(-0.0690285\pi\) | |||||||
\(720\) | −7.64117 | − | 8.81838i | −0.284769 | − | 0.328641i | ||||
\(721\) | −0.429421 | + | 0.250457i | −0.0159925 | + | 0.00932751i | ||||
\(722\) | 17.5760 | + | 5.16077i | 0.654110 | + | 0.192064i | ||||
\(723\) | 4.77511 | − | 1.65268i | 0.177588 | − | 0.0614639i | ||||
\(724\) | −0.375330 | + | 7.87915i | −0.0139490 | + | 0.292826i | ||||
\(725\) | 4.21439 | − | 88.4710i | 0.156519 | − | 3.28573i | ||||
\(726\) | 3.35450 | − | 1.16101i | 0.124497 | − | 0.0430889i | ||||
\(727\) | 3.62907 | + | 1.06559i | 0.134595 | + | 0.0395206i | 0.348336 | − | 0.937370i | \(-0.386747\pi\) |
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(728\) | 6.18225 | − | 10.8178i | 0.229129 | − | 0.400936i | ||||
\(729\) | −14.0996 | − | 16.2718i | −0.522207 | − | 0.602659i | ||||
\(730\) | −1.42951 | + | 14.9705i | −0.0529085 | + | 0.554083i | ||||
\(731\) | 19.3658 | − | 20.3103i | 0.716270 | − | 0.751202i | ||||
\(732\) | −0.258152 | − | 2.70350i | −0.00954159 | − | 0.0999241i | ||||
\(733\) | 10.4207 | + | 8.19492i | 0.384897 | + | 0.302686i | 0.791795 | − | 0.610787i | \(-0.209147\pi\) |
−0.406898 | + | 0.913474i | \(0.633389\pi\) | |||||||
\(734\) | 17.9146 | − | 11.5130i | 0.661239 | − | 0.424953i | ||||
\(735\) | 8.83275 | − | 2.22546i | 0.325801 | − | 0.0820873i | ||||
\(736\) | −2.36320 | + | 4.17316i | −0.0871089 | + | 0.153825i | ||||
\(737\) | 0.321665 | − | 0.557140i | 0.0118487 | − | 0.0205225i | ||||
\(738\) | −5.36816 | + | 10.4128i | −0.197605 | + | 0.383299i | ||||
\(739\) | −31.1404 | + | 12.4667i | −1.14552 | + | 0.458596i | −0.865257 | − | 0.501328i | \(-0.832845\pi\) |
−0.280261 | + | 0.959924i | \(0.590421\pi\) | |||||||
\(740\) | −6.34153 | + | 4.51578i | −0.233119 | + | 0.166003i | ||||
\(741\) | 1.20506 | − | 0.353838i | 0.0442691 | − | 0.0129986i | ||||
\(742\) | −4.87279 | + | 20.4796i | −0.178886 | + | 0.751830i | ||||
\(743\) | −24.1632 | + | 20.9375i | −0.886461 | + | 0.768123i | −0.973645 | − | 0.228069i | \(-0.926759\pi\) |
0.0871839 | + | 0.996192i | \(0.472213\pi\) | |||||||
\(744\) | 0.322199 | + | 0.128989i | 0.0118124 | + | 0.00472896i | ||||
\(745\) | 15.7959 | − | 3.83205i | 0.578718 | − | 0.140395i | ||||
\(746\) | 3.66982 | − | 19.0408i | 0.134362 | − | 0.697135i | ||||
\(747\) | 17.1807 | − | 8.85725i | 0.628607 | − | 0.324070i | ||||
\(748\) | −0.241263 | + | 0.375413i | −0.00882145 | + | 0.0137264i | ||||
\(749\) | −5.07617 | + | 14.8786i | −0.185479 | + | 0.543651i | ||||
\(750\) | 2.28657 | − | 7.78735i | 0.0834938 | − | 0.284354i | ||||
\(751\) | −5.53545 | + | 13.8269i | −0.201991 | + | 0.504550i | −0.994430 | − | 0.105402i | \(-0.966387\pi\) |
0.792438 | + | 0.609952i | \(0.208811\pi\) | |||||||
\(752\) | −10.8939 | − | 3.77041i | −0.397259 | − | 0.137493i | ||||
\(753\) | 1.93069 | + | 1.37484i | 0.0703582 | + | 0.0501019i | ||||
\(754\) | 36.0729 | + | 8.75118i | 1.31370 | + | 0.318699i | ||||
\(755\) | −19.9050 | + | 43.5859i | −0.724417 | + | 1.58625i | ||||
\(756\) | 4.83942 | + | 1.39783i | 0.176008 | + | 0.0508387i | ||||
\(757\) | −11.3063 | − | 17.5929i | −0.410933 | − | 0.639424i | 0.572667 | − | 0.819788i | \(-0.305909\pi\) |
−0.983600 | + | 0.180364i | \(0.942272\pi\) | |||||||
\(758\) | 9.81844 | + | 5.66868i | 0.356622 | + | 0.205896i | ||||
\(759\) | −0.0554834 | + | 0.124222i | −0.00201392 | + | 0.00450898i | ||||
\(760\) | −1.66388 | − | 2.88193i | −0.0603554 | − | 0.104539i | ||||
\(761\) | −53.2874 | + | 2.53839i | −1.93167 | + | 0.0920166i | −0.977969 | − | 0.208749i | \(-0.933061\pi\) |
−0.953698 | + | 0.300766i | \(0.902758\pi\) | |||||||
\(762\) | −4.18411 | − | 0.601584i | −0.151574 | − | 0.0217931i | ||||
\(763\) | −32.0959 | − | 20.4274i | −1.16195 | − | 0.739520i | ||||
\(764\) | −4.83134 | − | 16.4540i | −0.174792 | − | 0.595286i | ||||
\(765\) | −59.0059 | − | 5.63438i | −2.13336 | − | 0.203712i | ||||
\(766\) | 7.72133 | − | 22.3093i | 0.278983 | − | 0.806069i | ||||
\(767\) | −39.2187 | + | 30.8419i | −1.41611 | + | 1.11364i | ||||
\(768\) | 0.222847 | + | 0.233715i | 0.00804130 | + | 0.00843348i | ||||
\(769\) | 9.73749 | − | 11.2377i | 0.351143 | − | 0.405240i | −0.552510 | − | 0.833506i | \(-0.686330\pi\) |
0.903653 | + | 0.428266i | \(0.140875\pi\) | |||||||
\(770\) | −0.920395 | − | 0.173186i | −0.0331687 | − | 0.00624119i | ||||
\(771\) | −2.61493 | − | 1.68051i | −0.0941743 | − | 0.0605222i | ||||
\(772\) | 7.28812 | + | 21.0576i | 0.262305 | + | 0.757881i | ||||
\(773\) | −1.33362 | − | 5.49728i | −0.0479671 | − | 0.197723i | 0.942786 | − | 0.333397i | \(-0.108195\pi\) |
−0.990754 | + | 0.135674i | \(0.956680\pi\) | |||||||
\(774\) | 9.88865 | + | 12.5744i | 0.355440 | + | 0.451979i | ||||
\(775\) | −2.28554 | − | 11.8585i | −0.0820991 | − | 0.425971i | ||||
\(776\) | −1.43197 | − | 3.13557i | −0.0514047 | − | 0.112561i | ||||
\(777\) | 0.606736 | − | 1.53514i | 0.0217665 | − | 0.0550727i | ||||
\(778\) | 14.2327 | + | 6.49984i | 0.510266 | + | 0.233031i | ||||
\(779\) | −2.06532 | + | 2.62627i | −0.0739978 | + | 0.0940959i | ||||
\(780\) | 5.44685 | + | 2.80805i | 0.195029 | + | 0.100544i | ||||
\(781\) | −0.934032 | + | 0.539264i | −0.0334223 | + | 0.0192964i | ||||
\(782\) | 5.94085 | + | 23.6269i | 0.212444 | + | 0.844898i | ||||
\(783\) | 15.0066i | 0.536292i | ||||||||
\(784\) | 6.69880 | − | 2.03128i | 0.239243 | − | 0.0725457i | ||||
\(785\) | 8.50030 | − | 59.1209i | 0.303389 | − | 2.11011i | ||||
\(786\) | −2.08503 | − | 2.92802i | −0.0743707 | − | 0.104439i | ||||
\(787\) | −20.7147 | − | 19.7515i | −0.738401 | − | 0.704064i | 0.224334 | − | 0.974512i | \(-0.427979\pi\) |
−0.962734 | + | 0.270449i | \(0.912828\pi\) | |||||||
\(788\) | −3.62020 | + | 5.08385i | −0.128964 | + | 0.181105i | ||||
\(789\) | −2.81084 | + | 0.541744i | −0.100068 | + | 0.0192866i | ||||
\(790\) | −17.3735 | + | 2.49794i | −0.618123 | + | 0.0888727i | ||||
\(791\) | −3.13872 | − | 4.36684i | −0.111600 | − | 0.155267i | ||||
\(792\) | −0.192247 | − | 0.166583i | −0.00683120 | − | 0.00591927i | ||||
\(793\) | −18.1480 | − | 35.2023i | −0.644456 | − | 1.25007i | ||||
\(794\) | −0.918004 | − | 0.0437299i | −0.0325787 | − | 0.00155192i | ||||
\(795\) | −10.1665 | − | 1.95944i | −0.360570 | − | 0.0694942i | ||||
\(796\) | −1.32809 | + | 1.26633i | −0.0470728 | + | 0.0448838i | ||||
\(797\) | 5.10643 | + | 35.5160i | 0.180879 | + | 1.25804i | 0.854691 | + | 0.519138i | \(0.173747\pi\) |
−0.673812 | + | 0.738903i | \(0.735344\pi\) | |||||||
\(798\) | 0.628578 | + | 0.320554i | 0.0222514 | + | 0.0113475i | ||||
\(799\) | −53.2688 | + | 24.3270i | −1.88451 | + | 0.860628i | ||||
\(800\) | 2.64925 | − | 10.9204i | 0.0936653 | − | 0.386094i | ||||
\(801\) | 49.2268 | − | 4.70059i | 1.73934 | − | 0.166087i | ||||
\(802\) | −6.52627 | − | 16.3018i | −0.230450 | − | 0.575637i | ||||
\(803\) | 0.0155998 | + | 0.327481i | 0.000550506 | + | 0.0115566i | ||||
\(804\) | −2.36492 | −0.0834042 | ||||||||
\(805\) | −41.2671 | + | 30.1862i | −1.45447 | + | 1.06392i | ||||
\(806\) | 5.06123 | 0.178274 | ||||||||
\(807\) | −0.0896090 | − | 1.88112i | −0.00315439 | − | 0.0662187i | ||||
\(808\) | 1.71249 | + | 4.27760i | 0.0602453 | + | 0.150486i | ||||
\(809\) | −32.1654 | + | 3.07143i | −1.13088 | + | 0.107986i | −0.643671 | − | 0.765302i | \(-0.722590\pi\) |
−0.487205 | + | 0.873288i | \(0.661984\pi\) | |||||||
\(810\) | 7.66869 | − | 31.6108i | 0.269450 | − | 1.11069i | ||||
\(811\) | −3.25743 | + | 1.48762i | −0.114384 | + | 0.0522374i | −0.471785 | − | 0.881714i | \(-0.656390\pi\) |
0.357401 | + | 0.933951i | \(0.383663\pi\) | |||||||
\(812\) | 11.3517 | + | 17.4935i | 0.398366 | + | 0.613902i | ||||
\(813\) | −1.11835 | − | 7.77832i | −0.0392224 | − | 0.272797i | ||||
\(814\) | −0.122832 | + | 0.117120i | −0.00430527 | + | 0.00410507i | ||||
\(815\) | −38.4721 | − | 7.41488i | −1.34762 | − | 0.259732i | ||||
\(816\) | 1.63860 | + | 0.0780560i | 0.0573624 | + | 0.00273251i | ||||
\(817\) | 2.09054 | + | 4.05509i | 0.0731389 | + | 0.141870i | ||||
\(818\) | 11.8067 | + | 10.2306i | 0.412812 | + | 0.357704i | ||||
\(819\) | 35.9011 | − | 3.58795i | 1.25449 | − | 0.125373i | ||||
\(820\) | −16.1362 | + | 2.32003i | −0.563500 | + | 0.0810190i | ||||
\(821\) | 39.2060 | − | 7.55633i | 1.36830 | − | 0.263718i | 0.548394 | − | 0.836220i | \(-0.315239\pi\) |
0.819903 | + | 0.572502i | \(0.194027\pi\) | |||||||
\(822\) | 1.33702 | − | 1.87759i | 0.0466340 | − | 0.0654883i | ||||
\(823\) | 1.36132 | + | 1.29802i | 0.0474527 | + | 0.0452461i | 0.713434 | − | 0.700722i | \(-0.247139\pi\) |
−0.665982 | + | 0.745968i | \(0.731987\pi\) | |||||||
\(824\) | −0.108990 | − | 0.153054i | −0.00379683 | − | 0.00533191i | ||||
\(825\) | 0.0453670 | − | 0.315534i | 0.00157948 | − | 0.0109855i | ||||
\(826\) | −27.9150 | − | 2.54140i | −0.971286 | − | 0.0884266i | ||||
\(827\) | 25.2498i | 0.878023i | 0.898482 | + | 0.439011i | \(0.144671\pi\) | ||||
−0.898482 | + | 0.439011i | \(0.855329\pi\) | |||||||
\(828\) | −13.8130 | + | 1.43529i | −0.480035 | + | 0.0498799i | ||||
\(829\) | 30.0838 | − | 17.3689i | 1.04485 | − | 0.603246i | 0.123649 | − | 0.992326i | \(-0.460540\pi\) |
0.921204 | + | 0.389080i | \(0.127207\pi\) | |||||||
\(830\) | 23.9077 | + | 12.3253i | 0.829850 | + | 0.427817i | ||||
\(831\) | −2.93865 | + | 3.73679i | −0.101941 | + | 0.129628i | ||||
\(832\) | 4.28378 | + | 1.95634i | 0.148513 | + | 0.0678237i | ||||
\(833\) | 17.5074 | − | 30.9509i | 0.606596 | − | 1.07239i | ||||
\(834\) | −0.253571 | − | 0.555244i | −0.00878046 | − | 0.0192265i | ||||
\(835\) | −14.5549 | − | 75.5182i | −0.503695 | − | 2.61342i | ||||
\(836\) | −0.0448461 | − | 0.0570264i | −0.00155103 | − | 0.00197230i | ||||
\(837\) | 0.482401 | + | 1.98848i | 0.0166742 | + | 0.0687321i | ||||
\(838\) | 5.19799 | + | 15.0186i | 0.179562 | + | 0.518809i | ||||
\(839\) | −4.46525 | − | 2.86964i | −0.154157 | − | 0.0990710i | 0.461288 | − | 0.887250i | \(-0.347387\pi\) |
−0.615445 | + | 0.788179i | \(0.711024\pi\) | |||||||
\(840\) | 1.14036 | + | 3.24845i | 0.0393463 | + | 0.112082i | ||||
\(841\) | −21.6931 | + | 25.0351i | −0.748037 | + | 0.863281i | ||||
\(842\) | 6.92318 | + | 7.26082i | 0.238588 | + | 0.250224i | ||||
\(843\) | −7.03963 | + | 5.53602i | −0.242458 | + | 0.190671i | ||||
\(844\) | 0.745039 | − | 2.15265i | 0.0256453 | − | 0.0740973i | ||||
\(845\) | 36.8155 | + | 3.51546i | 1.26649 | + | 0.120935i | ||||
\(846\) | −9.40468 | − | 32.0294i | −0.323339 | − | 1.10119i | ||||
\(847\) | 29.0557 | + | 1.25571i | 0.998367 | + | 0.0431468i | ||||
\(848\) | −7.87567 | − | 1.13235i | −0.270452 | − | 0.0388851i | ||||
\(849\) | −6.73786 | + | 0.320964i | −0.231243 | + | 0.0110155i | ||||
\(850\) | −28.5418 | − | 49.4359i | −0.978976 | − | 1.69564i | ||||
\(851\) | 0.0772514 | + | 9.26524i | 0.00264814 | + | 0.317608i | ||||
\(852\) | 3.43356 | + | 1.98237i | 0.117632 | + | 0.0679147i | ||||
\(853\) | 4.70309 | + | 7.31815i | 0.161031 | + | 0.250569i | 0.912388 | − | 0.409327i | \(-0.134237\pi\) |
−0.751357 | + | 0.659896i | \(0.770600\pi\) | |||||||
\(854\) | 6.17446 | − | 21.3765i | 0.211286 | − | 0.731489i | ||||
\(855\) | 4.00305 | − | 8.76546i | 0.136901 | − | 0.299772i | ||||
\(856\) | −5.77436 | − | 1.40084i | −0.197363 | − | 0.0478799i | ||||
\(857\) | 35.8697 | + | 25.5427i | 1.22529 | + | 0.872522i | 0.994928 | − | 0.100585i | \(-0.0320713\pi\) |
0.230357 | + | 0.973106i | \(0.426011\pi\) | |||||||
\(858\) | 0.126249 | + | 0.0436952i | 0.00431006 | + | 0.00149173i | ||||
\(859\) | −12.3659 | + | 30.8886i | −0.421920 | + | 1.05390i | 0.553362 | + | 0.832941i | \(0.313345\pi\) |
−0.975282 | + | 0.220964i | \(0.929080\pi\) | |||||||
\(860\) | −6.27151 | + | 21.3588i | −0.213857 | + | 0.728330i | ||||
\(861\) | 2.60230 | − | 2.27507i | 0.0886862 | − | 0.0775343i | ||||
\(862\) | −8.61924 | + | 13.4118i | −0.293572 | + | 0.456808i | ||||
\(863\) | −24.8906 | + | 12.8320i | −0.847286 | + | 0.436806i | −0.826472 | − | 0.562977i | \(-0.809656\pi\) |
−0.0208132 | + | 0.999783i | \(0.506626\pi\) | |||||||
\(864\) | −0.360316 | + | 1.86950i | −0.0122582 | + | 0.0636016i | ||||
\(865\) | 4.66335 | − | 1.13132i | 0.158559 | − | 0.0384659i | ||||
\(866\) | −5.30162 | − | 2.12245i | −0.180156 | − | 0.0721238i | ||||
\(867\) | 2.14901 | − | 1.86213i | 0.0729843 | − | 0.0632413i | ||||
\(868\) | 2.06653 | + | 1.95311i | 0.0701425 | + | 0.0662927i | ||||
\(869\) | −0.367151 | + | 0.107805i | −0.0124547 | + | 0.00365704i | ||||
\(870\) | −8.35472 | + | 5.94937i | −0.283252 | + | 0.201703i | ||||
\(871\) | −32.0176 | + | 12.8179i | −1.08487 | + | 0.434318i | ||||
\(872\) | 6.58914 | − | 12.7812i | 0.223136 | − | 0.432824i | ||||
\(873\) | 4.99088 | − | 8.64446i | 0.168916 | − | 0.292571i | ||||
\(874\) | −3.94568 | − | 0.343595i | −0.133465 | − | 0.0116223i | ||||
\(875\) | 40.8736 | − | 52.4493i | 1.38178 | − | 1.77311i | ||||
\(876\) | 1.01388 | − | 0.651583i | 0.0342559 | − | 0.0220149i | ||||
\(877\) | 24.9252 | + | 19.6014i | 0.841665 | + | 0.661892i | 0.942939 | − | 0.332966i | \(-0.108049\pi\) |
−0.101274 | + | 0.994859i | \(0.532292\pi\) | |||||||
\(878\) | 3.25797 | + | 34.1190i | 0.109951 | + | 1.15146i | ||||
\(879\) | −2.40883 | + | 2.52630i | −0.0812477 | + | 0.0852101i | ||||
\(880\) | 0.0336481 | − | 0.352379i | 0.00113428 | − | 0.0118787i | ||||
\(881\) | 21.2449 | + | 24.5180i | 0.715760 | + | 0.826031i | 0.990790 | − | 0.135404i | \(-0.0432333\pi\) |
−0.275030 | + | 0.961436i | \(0.588688\pi\) | |||||||
\(882\) | 16.0432 | + | 12.3891i | 0.540202 | + | 0.417163i | ||||
\(883\) | 28.6756 | + | 8.41993i | 0.965012 | + | 0.283353i | 0.726024 | − | 0.687669i | \(-0.241366\pi\) |
0.238988 | + | 0.971023i | \(0.423184\pi\) | |||||||
\(884\) | 22.6073 | − | 7.82447i | 0.760367 | − | 0.263165i | ||||
\(885\) | 0.655972 | − | 13.7705i | 0.0220503 | − | 0.462892i | ||||
\(886\) | −0.288391 | + | 6.05407i | −0.00968868 | + | 0.203390i | ||||
\(887\) | 0.253965 | − | 0.0878981i | 0.00852731 | − | 0.00295133i | −0.322801 | − | 0.946467i | \(-0.604624\pi\) |
0.331328 | + | 0.943516i | \(0.392503\pi\) | |||||||
\(888\) | 0.598629 | + | 0.175773i | 0.0200887 | + | 0.00589857i | ||||
\(889\) | −30.0689 | − | 17.1840i | −1.00848 | − | 0.576332i | ||||
\(890\) | 45.0630 | + | 52.0054i | 1.51051 | + | 1.74323i | ||||
\(891\) | 0.0674069 | − | 0.705917i | 0.00225821 | − | 0.0236491i | ||||
\(892\) | 15.4434 | − | 16.1966i | 0.517084 | − | 0.542302i | ||||
\(893\) | −0.904959 | − | 9.47716i | −0.0302833 | − | 0.317141i | ||||
\(894\) | −1.02393 | − | 0.805224i | −0.0342452 | − | 0.0269307i | ||||
\(895\) | 84.8624 | − | 54.5378i | 2.83664 | − | 1.82300i | ||||
\(896\) | 0.994147 | + | 2.45187i | 0.0332121 | + | 0.0819113i | ||||
\(897\) | 6.45459 | − | 3.39599i | 0.215513 | − | 0.113389i | ||||
\(898\) | −15.8612 | + | 27.4724i | −0.529295 | + | 0.916766i | ||||
\(899\) | −3.88162 | + | 7.52929i | −0.129459 | + | 0.251116i | ||||
\(900\) | 30.2087 | − | 12.0937i | 1.00696 | − | 0.403124i | ||||
\(901\) | −32.9244 | + | 23.4454i | −1.09687 | + | 0.781079i | ||||
\(902\) | −0.341002 | + | 0.100127i | −0.0113541 | + | 0.00333387i | ||||
\(903\) | −1.34972 | − | 4.52286i | −0.0449159 | − | 0.150511i | ||||
\(904\) | 1.53615 | − | 1.33109i | 0.0510917 | − | 0.0442712i | ||||
\(905\) | −29.5085 | − | 11.8134i | −0.980894 | − | 0.392691i | ||||
\(906\) | 3.73178 | − | 0.905320i | 0.123980 | − | 0.0300772i | ||||
\(907\) | 2.49844 | − | 12.9631i | 0.0829594 | − | 0.430434i | −0.916573 | − | 0.399867i | \(-0.869056\pi\) |
0.999533 | − | 0.0305675i | \(-0.00973146\pi\) | |||||||
\(908\) | 12.9278 | − | 6.66472i | 0.429023 | − | 0.221177i | ||||
\(909\) | −7.21349 | + | 11.2244i | −0.239256 | + | 0.372290i | ||||
\(910\) | 33.0456 | + | 37.7986i | 1.09545 | + | 1.25301i | ||||
\(911\) | 12.4044 | − | 42.2454i | 0.410975 | − | 1.39965i | −0.450919 | − | 0.892565i | \(-0.648904\pi\) |
0.861894 | − | 0.507088i | \(-0.169278\pi\) | |||||||
\(912\) | −0.0991186 | + | 0.247586i | −0.00328215 | + | 0.00819840i | ||||
\(913\) | 0.554141 | + | 0.191790i | 0.0183394 | + | 0.00634733i | ||||
\(914\) | −24.6385 | − | 17.5450i | −0.814970 | − | 0.580337i | ||||
\(915\) | 10.6349 | + | 2.58000i | 0.351579 | + | 0.0852921i | ||||
\(916\) | −8.74722 | + | 19.1537i | −0.289016 | + | 0.632857i | ||||
\(917\) | −7.06920 | − | 28.5888i | −0.233445 | − | 0.944087i | ||||
\(918\) | 5.22889 | + | 8.13631i | 0.172579 | + | 0.268538i | ||||
\(919\) | 37.5258 | + | 21.6655i | 1.23786 | + | 0.714680i | 0.968657 | − | 0.248403i | \(-0.0799056\pi\) |
0.269205 | + | 0.963083i | \(0.413239\pi\) | |||||||
\(920\) | −12.7765 | − | 14.4988i | −0.421228 | − | 0.478012i | ||||
\(921\) | −1.26914 | − | 2.19822i | −0.0418197 | − | 0.0724338i | ||||
\(922\) | −32.8527 | + | 1.56497i | −1.08195 | + | 0.0515394i | ||||
\(923\) | 57.2299 | + | 8.22842i | 1.88375 | + | 0.270842i | ||||
\(924\) | 0.0346863 | + | 0.0665598i | 0.00114110 | + | 0.00218966i | ||||
\(925\) | −6.11646 | − | 20.8308i | −0.201108 | − | 0.684911i | ||||
\(926\) | 16.0262 | + | 1.53032i | 0.526653 | + | 0.0502893i | ||||
\(927\) | 0.177954 | − | 0.514165i | 0.00584479 | − | 0.0168874i | ||||
\(928\) | −6.19569 | + | 4.87234i | −0.203383 | + | 0.159942i | ||||
\(929\) | 23.4539 | + | 24.5977i | 0.769497 | + | 0.807025i | 0.985555 | − | 0.169355i | \(-0.0541685\pi\) |
−0.216058 | + | 0.976381i | \(0.569320\pi\) | |||||||
\(930\) | −0.915813 | + | 1.05691i | −0.0300307 | + | 0.0346573i | ||||
\(931\) | 3.82407 | + | 4.33537i | 0.125329 | + | 0.142086i | ||||
\(932\) | 11.9058 | + | 7.65138i | 0.389987 | + | 0.250629i | ||||
\(933\) | −3.67531 | − | 10.6191i | −0.120324 | − | 0.347654i | ||||
\(934\) | −8.56797 | − | 35.3176i | −0.280352 | − | 1.15563i | ||||
\(935\) | −1.11157 | − | 1.41348i | −0.0363522 | − | 0.0462256i | ||||
\(936\) | 2.58081 | + | 13.3905i | 0.0843564 | + | 0.437682i | ||||
\(937\) | −5.58247 | − | 12.2239i | −0.182371 | − | 0.399338i | 0.796262 | − | 0.604952i | \(-0.206808\pi\) |
−0.978633 | + | 0.205615i | \(0.934081\pi\) | |||||||
\(938\) | −18.0193 | − | 7.12182i | −0.588352 | − | 0.232536i | ||||
\(939\) | 0.621407 | + | 0.283787i | 0.0202788 | + | 0.00926104i | ||||
\(940\) | 28.7148 | − | 36.5138i | 0.936573 | − | 1.19095i | ||||
\(941\) | −2.61926 | − | 1.35032i | −0.0853854 | − | 0.0440192i | 0.415005 | − | 0.909819i | \(-0.363780\pi\) |
−0.500390 | + | 0.865800i | \(0.666810\pi\) | |||||||
\(942\) | −4.14542 | + | 2.39336i | −0.135065 | + | 0.0779798i | ||||
\(943\) | −8.74655 | + | 17.3190i | −0.284827 | + | 0.563983i | ||||
\(944\) | − | 10.5945i | − | 0.344822i | ||||||
\(945\) | −11.7008 | + | 16.5858i | −0.380629 | + | 0.539537i | ||||
\(946\) | −0.0690648 | + | 0.480356i | −0.00224549 | + | 0.0156177i | ||||
\(947\) | 4.62565 | + | 6.49582i | 0.150313 | + | 0.211086i | 0.882866 | − | 0.469625i | \(-0.155611\pi\) |
−0.732553 | + | 0.680710i | \(0.761671\pi\) | |||||||
\(948\) | 1.01804 | + | 0.970698i | 0.0330644 | + | 0.0315268i | ||||
\(949\) | 10.1949 | − | 14.3168i | 0.330941 | − | 0.464742i | ||||
\(950\) | 9.11242 | − | 1.75627i | 0.295646 | − | 0.0569811i | ||||
\(951\) | −1.71963 | + | 0.247246i | −0.0557629 | + | 0.00801750i | ||||
\(952\) | 12.2501 | + | 5.52929i | 0.397028 | + | 0.179205i | ||||
\(953\) | −3.95720 | − | 3.42893i | −0.128186 | − | 0.111074i | 0.588408 | − | 0.808564i | \(-0.299755\pi\) |
−0.716595 | + | 0.697490i | \(0.754300\pi\) | |||||||
\(954\) | −10.5576 | − | 20.4790i | −0.341816 | − | 0.663031i | ||||
\(955\) | 69.0228 | + | 3.28796i | 2.23353 | + | 0.106396i | ||||
\(956\) | −12.4496 | − | 2.39947i | −0.402650 | − | 0.0776044i | ||||
\(957\) | −0.161827 | + | 0.154302i | −0.00523112 | + | 0.00498786i | ||||
\(958\) | 3.08365 | + | 21.4473i | 0.0996282 | + | 0.692929i | ||||
\(959\) | 15.8416 | − | 10.2798i | 0.511552 | − | 0.331951i | ||||
\(960\) | −1.18366 | + | 0.540562i | −0.0382026 | + | 0.0174465i | ||||
\(961\) | 7.03622 | − | 29.0037i | 0.226975 | − | 0.935603i | ||||
\(962\) | 9.05728 | − | 0.864865i | 0.292018 | − | 0.0278844i | ||||
\(963\) | −6.39479 | − | 15.9734i | −0.206069 | − | 0.514736i | ||||
\(964\) | 0.744535 | + | 15.6297i | 0.0239799 | + | 0.503399i | ||||
\(965\) | −89.7908 | −2.89047 | ||||||||
\(966\) | 3.94594 | + | 1.10420i | 0.126958 | + | 0.0355270i | ||||
\(967\) | 11.9955 | 0.385750 | 0.192875 | − | 0.981223i | \(-0.438219\pi\) | ||||
0.192875 | + | 0.981223i | \(0.438219\pi\) | |||||||
\(968\) | 0.523034 | + | 10.9798i | 0.0168109 | + | 0.352905i | ||||
\(969\) | 0.503514 | + | 1.25772i | 0.0161752 | + | 0.0404037i | ||||
\(970\) | 13.8272 | − | 1.32034i | 0.443965 | − | 0.0423936i | ||||
\(971\) | −11.2466 | + | 46.3591i | −0.360920 | + | 1.48773i | 0.444903 | + | 0.895579i | \(0.353238\pi\) |
−0.805824 | + | 0.592156i | \(0.798277\pi\) | |||||||
\(972\) | −7.56678 | + | 3.45563i | −0.242704 | + | 0.110839i | ||||
\(973\) | −0.259982 | − | 4.99426i | −0.00833464 | − | 0.160109i | ||||
\(974\) | −0.141080 | − | 0.981234i | −0.00452050 | − | 0.0314408i | ||||
\(975\) | −12.3681 | + | 11.7930i | −0.396097 | + | 0.377678i | ||||
\(976\) | 8.25787 | + | 1.59157i | 0.264328 | + | 0.0509451i | ||||
\(977\) | 9.92063 | + | 0.472578i | 0.317389 | + | 0.0151191i | 0.205672 | − | 0.978621i | \(-0.434062\pi\) |
0.111717 | + | 0.993740i | \(0.464365\pi\) | |||||||
\(978\) | 1.43880 | + | 2.79088i | 0.0460076 | + | 0.0892424i | ||||
\(979\) | 1.13376 | + | 0.982406i | 0.0362350 | + | 0.0313978i | ||||
\(980\) | −1.09362 | + | 28.1855i | −0.0349343 | + | 0.900353i | ||||
\(981\) | 41.2156 | − | 5.92591i | 1.31591 | − | 0.189200i | ||||
\(982\) | −23.1544 | + | 4.46265i | −0.738887 | + | 0.142409i | ||||
\(983\) | 29.4982 | − | 41.4244i | 0.940846 | − | 1.32123i | −0.00614709 | − | 0.999981i | \(-0.501957\pi\) |
0.946993 | − | 0.321253i | \(-0.104104\pi\) | |||||||
\(984\) | 0.945532 | + | 0.901563i | 0.0301425 | + | 0.0287408i | ||||
\(985\) | −14.5877 | − | 20.4856i | −0.464803 | − | 0.652724i | ||||
\(986\) | −5.69828 | + | 39.6324i | −0.181470 | + | 1.26215i | ||||
\(987\) | −0.893000 | + | 9.80880i | −0.0284245 | + | 0.312217i | ||||
\(988\) | 3.88919i | 0.123732i | ||||||||
\(989\) | 16.5505 | + | 20.6883i | 0.526274 | + | 0.657849i | ||||
\(990\) | 0.887702 | − | 0.512515i | 0.0282130 | − | 0.0162888i | ||||
\(991\) | −26.1915 | − | 13.5027i | −0.832001 | − | 0.428926i | −0.0110596 | − | 0.999939i | \(-0.503520\pi\) |
−0.820941 | + | 0.571013i | \(0.806551\pi\) | |||||||
\(992\) | −0.664348 | + | 0.844787i | −0.0210931 | + | 0.0268220i | ||||
\(993\) | 5.06211 | + | 2.31179i | 0.160641 | + | 0.0733624i | ||||
\(994\) | 20.1920 | + | 25.4445i | 0.640450 | + | 0.807050i | ||||
\(995\) | −3.07174 | − | 6.72617i | −0.0973807 | − | 0.213234i | ||||
\(996\) | −0.407952 | − | 2.11666i | −0.0129265 | − | 0.0670689i | ||||
\(997\) | −10.5370 | − | 13.3989i | −0.333711 | − | 0.424348i | 0.590021 | − | 0.807388i | \(-0.299120\pi\) |
−0.923732 | + | 0.383040i | \(0.874877\pi\) | |||||||
\(998\) | −5.71084 | − | 23.5404i | −0.180774 | − | 0.745159i | ||||
\(999\) | 1.20307 | + | 3.47604i | 0.0380634 | + | 0.109977i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 322.2.o.b.103.4 | ✓ | 160 | |
7.3 | odd | 6 | inner | 322.2.o.b.241.5 | yes | 160 | |
23.21 | odd | 22 | inner | 322.2.o.b.159.5 | yes | 160 | |
161.136 | even | 66 | inner | 322.2.o.b.297.4 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.o.b.103.4 | ✓ | 160 | 1.1 | even | 1 | trivial | |
322.2.o.b.159.5 | yes | 160 | 23.21 | odd | 22 | inner | |
322.2.o.b.241.5 | yes | 160 | 7.3 | odd | 6 | inner | |
322.2.o.b.297.4 | yes | 160 | 161.136 | even | 66 | inner |