Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(3,80)]
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([2, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.s (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: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + \cdots + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Root | \(-0.480367 + 1.33013i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.3 |
Dual form | 80.2.s.b.27.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38031 | + | 0.307817i | −0.976025 | + | 0.217659i | ||||
\(3\) | 2.85601 | 1.64892 | 0.824458 | − | 0.565923i | \(-0.191480\pi\) | ||||
0.824458 | + | 0.565923i | \(0.191480\pi\) | |||||||
\(4\) | 1.81050 | − | 0.849763i | 0.905249 | − | 0.424882i | ||||
\(5\) | −1.71489 | − | 1.43498i | −0.766921 | − | 0.641741i | ||||
\(6\) | −3.94217 | + | 0.879127i | −1.60938 | + | 0.358902i | ||||
\(7\) | −0.458895 | + | 0.458895i | −0.173446 | + | 0.173446i | −0.788491 | − | 0.615046i | \(-0.789138\pi\) |
0.615046 | + | 0.788491i | \(0.289138\pi\) | |||||||
\(8\) | −2.23747 | + | 1.73024i | −0.791066 | + | 0.611731i | ||||
\(9\) | 5.15678 | 1.71893 | ||||||||
\(10\) | 2.80878 | + | 1.45284i | 0.888215 | + | 0.459428i | ||||
\(11\) | −0.492763 | − | 0.492763i | −0.148574 | − | 0.148574i | 0.628907 | − | 0.777481i | \(-0.283503\pi\) |
−0.777481 | + | 0.628907i | \(0.783503\pi\) | |||||||
\(12\) | 5.17080 | − | 2.42693i | 1.49268 | − | 0.700594i | ||||
\(13\) | 4.52109i | 1.25393i | 0.779049 | + | 0.626963i | \(0.215702\pi\) | ||||
−0.779049 | + | 0.626963i | \(0.784298\pi\) | |||||||
\(14\) | 0.492160 | − | 0.774671i | 0.131535 | − | 0.207040i | ||||
\(15\) | −4.89773 | − | 4.09831i | −1.26459 | − | 1.05818i | ||||
\(16\) | 2.55581 | − | 3.07699i | 0.638951 | − | 0.769247i | ||||
\(17\) | −3.12823 | + | 3.12823i | −0.758708 | + | 0.758708i | −0.976087 | − | 0.217379i | \(-0.930249\pi\) |
0.217379 | + | 0.976087i | \(0.430249\pi\) | |||||||
\(18\) | −7.11794 | + | 1.58734i | −1.67772 | + | 0.374140i | ||||
\(19\) | −4.04508 | − | 4.04508i | −0.928005 | − | 0.928005i | 0.0695721 | − | 0.997577i | \(-0.477837\pi\) |
−0.997577 | + | 0.0695721i | \(0.977837\pi\) | |||||||
\(20\) | −4.32419 | − | 1.14077i | −0.966919 | − | 0.255085i | ||||
\(21\) | −1.31061 | + | 1.31061i | −0.285998 | + | 0.285998i | ||||
\(22\) | 0.831845 | + | 0.528484i | 0.177350 | + | 0.112673i | ||||
\(23\) | −1.80660 | − | 1.80660i | −0.376701 | − | 0.376701i | 0.493209 | − | 0.869911i | \(-0.335824\pi\) |
−0.869911 | + | 0.493209i | \(0.835824\pi\) | |||||||
\(24\) | −6.39024 | + | 4.94157i | −1.30440 | + | 1.00869i | ||||
\(25\) | 0.881683 | + | 4.92165i | 0.176337 | + | 0.984330i | ||||
\(26\) | −1.39167 | − | 6.24050i | −0.272928 | − | 1.22386i | ||||
\(27\) | 6.15978 | 1.18545 | ||||||||
\(28\) | −0.440876 | + | 1.22078i | −0.0833177 | + | 0.230706i | ||||
\(29\) | 3.83926 | − | 3.83926i | 0.712932 | − | 0.712932i | −0.254215 | − | 0.967148i | \(-0.581817\pi\) |
0.967148 | + | 0.254215i | \(0.0818172\pi\) | |||||||
\(30\) | 8.02191 | + | 4.14932i | 1.46459 | + | 0.757558i | ||||
\(31\) | 0.139949i | 0.0251356i | 0.999921 | + | 0.0125678i | \(0.00400057\pi\) | ||||
−0.999921 | + | 0.0125678i | \(0.995999\pi\) | |||||||
\(32\) | −2.58065 | + | 5.03391i | −0.456199 | + | 0.889878i | ||||
\(33\) | −1.40733 | − | 1.40733i | −0.244985 | − | 0.244985i | ||||
\(34\) | 3.35500 | − | 5.28085i | 0.575378 | − | 0.905658i | ||||
\(35\) | 1.44546 | − | 0.128450i | 0.244327 | − | 0.0217120i | ||||
\(36\) | 9.33634 | − | 4.38204i | 1.55606 | − | 0.730340i | ||||
\(37\) | − | 5.84330i | − | 0.960633i | −0.877095 | − | 0.480317i | \(-0.840522\pi\) | ||
0.877095 | − | 0.480317i | \(-0.159478\pi\) | |||||||
\(38\) | 6.82860 | + | 4.33831i | 1.10774 | + | 0.703767i | ||||
\(39\) | 12.9123i | 2.06762i | ||||||||
\(40\) | 6.31986 | + | 0.243561i | 0.999258 | + | 0.0385104i | ||||
\(41\) | 4.55648i | 0.711602i | 0.934562 | + | 0.355801i | \(0.115792\pi\) | ||||
−0.934562 | + | 0.355801i | \(0.884208\pi\) | |||||||
\(42\) | 1.40561 | − | 2.21247i | 0.216891 | − | 0.341391i | ||||
\(43\) | − | 7.49928i | − | 1.14363i | −0.820383 | − | 0.571815i | \(-0.806240\pi\) | ||
0.820383 | − | 0.571815i | \(-0.193760\pi\) | |||||||
\(44\) | −1.31088 | − | 0.473414i | −0.197622 | − | 0.0713699i | ||||
\(45\) | −8.84330 | − | 7.39986i | −1.31828 | − | 1.10311i | ||||
\(46\) | 3.04976 | + | 1.93756i | 0.449662 | + | 0.285677i | ||||
\(47\) | 4.14073 | + | 4.14073i | 0.603987 | + | 0.603987i | 0.941368 | − | 0.337381i | \(-0.109541\pi\) |
−0.337381 | + | 0.941368i | \(0.609541\pi\) | |||||||
\(48\) | 7.29940 | − | 8.78790i | 1.05358 | − | 1.26842i | ||||
\(49\) | 6.57883i | 0.939833i | ||||||||
\(50\) | −2.73196 | − | 6.52199i | −0.386357 | − | 0.922349i | ||||
\(51\) | −8.93426 | + | 8.93426i | −1.25105 | + | 1.25105i | ||||
\(52\) | 3.84186 | + | 8.18543i | 0.532770 | + | 1.13511i | ||||
\(53\) | 2.75773 | 0.378803 | 0.189402 | − | 0.981900i | \(-0.439345\pi\) | ||||
0.189402 | + | 0.981900i | \(0.439345\pi\) | |||||||
\(54\) | −8.50239 | + | 1.89608i | −1.15703 | + | 0.258024i | ||||
\(55\) | 0.137930 | + | 1.55214i | 0.0185985 | + | 0.209290i | ||||
\(56\) | 0.232768 | − | 1.82076i | 0.0311050 | − | 0.243309i | ||||
\(57\) | −11.5528 | − | 11.5528i | −1.53020 | − | 1.53020i | ||||
\(58\) | −4.11757 | + | 6.48115i | −0.540663 | + | 0.851016i | ||||
\(59\) | 3.62521 | − | 3.62521i | 0.471962 | − | 0.471962i | −0.430587 | − | 0.902549i | \(-0.641694\pi\) |
0.902549 | + | 0.430587i | \(0.141694\pi\) | |||||||
\(60\) | −12.3499 | − | 3.25806i | −1.59437 | − | 0.420614i | ||||
\(61\) | 3.72781 | + | 3.72781i | 0.477298 | + | 0.477298i | 0.904266 | − | 0.426969i | \(-0.140419\pi\) |
−0.426969 | + | 0.904266i | \(0.640419\pi\) | |||||||
\(62\) | −0.0430787 | − | 0.193173i | −0.00547100 | − | 0.0245330i | ||||
\(63\) | −2.36642 | + | 2.36642i | −0.298141 | + | 0.298141i | ||||
\(64\) | 2.01257 | − | 7.74271i | 0.251571 | − | 0.967839i | ||||
\(65\) | 6.48766 | − | 7.75317i | 0.804696 | − | 0.961662i | ||||
\(66\) | 2.37576 | + | 1.50935i | 0.292435 | + | 0.185789i | ||||
\(67\) | − | 3.32677i | − | 0.406430i | −0.979134 | − | 0.203215i | \(-0.934861\pi\) | ||
0.979134 | − | 0.203215i | \(-0.0651390\pi\) | |||||||
\(68\) | −3.00540 | + | 8.32192i | −0.364459 | + | 1.00918i | ||||
\(69\) | −5.15965 | − | 5.15965i | −0.621149 | − | 0.621149i | ||||
\(70\) | −1.95563 | + | 0.622235i | −0.233743 | + | 0.0743714i | ||||
\(71\) | 1.37056 | 0.162655 | 0.0813275 | − | 0.996687i | \(-0.474084\pi\) | ||||
0.0813275 | + | 0.996687i | \(0.474084\pi\) | |||||||
\(72\) | −11.5382 | + | 8.92244i | −1.35978 | + | 1.05152i | ||||
\(73\) | 2.55028 | − | 2.55028i | 0.298488 | − | 0.298488i | −0.541933 | − | 0.840422i | \(-0.682307\pi\) |
0.840422 | + | 0.541933i | \(0.182307\pi\) | |||||||
\(74\) | 1.79867 | + | 8.06556i | 0.209091 | + | 0.937602i | ||||
\(75\) | 2.51809 | + | 14.0563i | 0.290764 | + | 1.62308i | ||||
\(76\) | −10.7610 | − | 3.88625i | −1.23437 | − | 0.445783i | ||||
\(77\) | 0.452252 | 0.0515389 | ||||||||
\(78\) | −3.97461 | − | 17.8229i | −0.450036 | − | 2.01805i | ||||
\(79\) | 3.86426 | 0.434763 | 0.217382 | − | 0.976087i | \(-0.430248\pi\) | ||||
0.217382 | + | 0.976087i | \(0.430248\pi\) | |||||||
\(80\) | −8.79833 | + | 1.60917i | −0.983683 | + | 0.179911i | ||||
\(81\) | 2.12204 | 0.235782 | ||||||||
\(82\) | −1.40256 | − | 6.28934i | −0.154887 | − | 0.694541i | ||||
\(83\) | 14.4698 | 1.58827 | 0.794133 | − | 0.607744i | \(-0.207925\pi\) | ||||
0.794133 | + | 0.607744i | \(0.207925\pi\) | |||||||
\(84\) | −1.25915 | + | 3.48655i | −0.137384 | + | 0.380414i | ||||
\(85\) | 9.85351 | − | 0.875628i | 1.06876 | − | 0.0949752i | ||||
\(86\) | 2.30840 | + | 10.3513i | 0.248922 | + | 1.11621i | ||||
\(87\) | 10.9650 | − | 10.9650i | 1.17557 | − | 1.17557i | ||||
\(88\) | 1.95514 | + | 0.249948i | 0.208419 | + | 0.0266445i | ||||
\(89\) | 3.35011 | 0.355111 | 0.177556 | − | 0.984111i | \(-0.443181\pi\) | ||||
0.177556 | + | 0.984111i | \(0.443181\pi\) | |||||||
\(90\) | 14.4843 | + | 7.49197i | 1.52678 | + | 0.789723i | ||||
\(91\) | −2.07470 | − | 2.07470i | −0.217488 | − | 0.217488i | ||||
\(92\) | −4.80602 | − | 1.73566i | −0.501062 | − | 0.180955i | ||||
\(93\) | 0.399696i | 0.0414466i | ||||||||
\(94\) | −6.99006 | − | 4.44089i | −0.720970 | − | 0.458043i | ||||
\(95\) | 1.13226 | + | 12.7415i | 0.116168 | + | 1.30725i | ||||
\(96\) | −7.37035 | + | 14.3769i | −0.752234 | + | 1.46733i | ||||
\(97\) | −4.95582 | + | 4.95582i | −0.503187 | + | 0.503187i | −0.912427 | − | 0.409240i | \(-0.865794\pi\) |
0.409240 | + | 0.912427i | \(0.365794\pi\) | |||||||
\(98\) | −2.02507 | − | 9.08081i | −0.204563 | − | 0.917300i | ||||
\(99\) | −2.54107 | − | 2.54107i | −0.255387 | − | 0.255387i | ||||
\(100\) | 5.77852 | + | 8.16142i | 0.577852 | + | 0.816142i | ||||
\(101\) | −1.84536 | + | 1.84536i | −0.183621 | + | 0.183621i | −0.792931 | − | 0.609311i | \(-0.791446\pi\) |
0.609311 | + | 0.792931i | \(0.291446\pi\) | |||||||
\(102\) | 9.58191 | − | 15.0821i | 0.948751 | − | 1.49335i | ||||
\(103\) | −11.6655 | − | 11.6655i | −1.14944 | − | 1.14944i | −0.986664 | − | 0.162773i | \(-0.947956\pi\) |
−0.162773 | − | 0.986664i | \(-0.552044\pi\) | |||||||
\(104\) | −7.82256 | − | 10.1158i | −0.767065 | − | 0.991938i | ||||
\(105\) | 4.12823 | − | 0.366853i | 0.402874 | − | 0.0358012i | ||||
\(106\) | −3.80651 | + | 0.848874i | −0.369721 | + | 0.0824500i | ||||
\(107\) | −15.3106 | −1.48013 | −0.740067 | − | 0.672534i | \(-0.765206\pi\) | ||||
−0.740067 | + | 0.672534i | \(0.765206\pi\) | |||||||
\(108\) | 11.1523 | − | 5.23435i | 1.07313 | − | 0.503676i | ||||
\(109\) | −12.4798 | + | 12.4798i | −1.19535 | + | 1.19535i | −0.219803 | + | 0.975544i | \(0.570542\pi\) |
−0.975544 | + | 0.219803i | \(0.929458\pi\) | |||||||
\(110\) | −0.668159 | − | 2.09997i | −0.0637065 | − | 0.200224i | ||||
\(111\) | − | 16.6885i | − | 1.58400i | ||||||
\(112\) | 0.239168 | + | 2.58486i | 0.0225993 | + | 0.244246i | ||||
\(113\) | 2.53557 | + | 2.53557i | 0.238526 | + | 0.238526i | 0.816240 | − | 0.577713i | \(-0.196055\pi\) |
−0.577713 | + | 0.816240i | \(0.696055\pi\) | |||||||
\(114\) | 19.5025 | + | 12.3903i | 1.82658 | + | 1.16045i | ||||
\(115\) | 0.505686 | + | 5.69053i | 0.0471555 | + | 0.530645i | ||||
\(116\) | 3.68851 | − | 10.2134i | 0.342470 | − | 0.948293i | ||||
\(117\) | 23.3143i | 2.15541i | ||||||||
\(118\) | −3.88800 | + | 6.11980i | −0.357919 | + | 0.563373i | ||||
\(119\) | − | 2.87106i | − | 0.263189i | ||||||
\(120\) | 18.0496 | + | 0.695612i | 1.64769 | + | 0.0635004i | ||||
\(121\) | − | 10.5144i | − | 0.955852i | ||||||
\(122\) | −6.29301 | − | 3.99805i | −0.569743 | − | 0.361966i | ||||
\(123\) | 13.0133i | 1.17337i | ||||||||
\(124\) | 0.118924 | + | 0.253378i | 0.0106797 | + | 0.0227540i | ||||
\(125\) | 5.55047 | − | 9.70527i | 0.496449 | − | 0.868066i | ||||
\(126\) | 2.53796 | − | 3.99481i | 0.226100 | − | 0.355886i | ||||
\(127\) | 0.615790 | + | 0.615790i | 0.0546426 | + | 0.0546426i | 0.733900 | − | 0.679257i | \(-0.237698\pi\) |
−0.679257 | + | 0.733900i | \(0.737698\pi\) | |||||||
\(128\) | −0.394630 | + | 11.3068i | −0.0348807 | + | 0.999391i | ||||
\(129\) | − | 21.4180i | − | 1.88575i | ||||||
\(130\) | −6.56842 | + | 12.6988i | −0.576088 | + | 1.11376i | ||||
\(131\) | 9.55413 | − | 9.55413i | 0.834748 | − | 0.834748i | −0.153414 | − | 0.988162i | \(-0.549027\pi\) |
0.988162 | + | 0.153414i | \(0.0490268\pi\) | |||||||
\(132\) | −3.74388 | − | 1.35208i | −0.325863 | − | 0.117683i | ||||
\(133\) | 3.71253 | 0.321917 | ||||||||
\(134\) | 1.02404 | + | 4.59197i | 0.0884632 | + | 0.396686i | ||||
\(135\) | −10.5633 | − | 8.83914i | −0.909147 | − | 0.760752i | ||||
\(136\) | 1.58676 | − | 12.4119i | 0.136063 | − | 1.06431i | ||||
\(137\) | 3.70277 | + | 3.70277i | 0.316349 | + | 0.316349i | 0.847363 | − | 0.531014i | \(-0.178189\pi\) |
−0.531014 | + | 0.847363i | \(0.678189\pi\) | |||||||
\(138\) | 8.71013 | + | 5.53368i | 0.741456 | + | 0.471058i | ||||
\(139\) | −5.46761 | + | 5.46761i | −0.463756 | + | 0.463756i | −0.899885 | − | 0.436128i | \(-0.856349\pi\) |
0.436128 | + | 0.899885i | \(0.356349\pi\) | |||||||
\(140\) | 2.50784 | − | 1.46085i | 0.211951 | − | 0.123465i | ||||
\(141\) | 11.8260 | + | 11.8260i | 0.995925 | + | 0.995925i | ||||
\(142\) | −1.89179 | + | 0.421880i | −0.158755 | + | 0.0354034i | ||||
\(143\) | 2.22783 | − | 2.22783i | 0.186300 | − | 0.186300i | ||||
\(144\) | 13.1797 | − | 15.8674i | 1.09831 | − | 1.32228i | ||||
\(145\) | −12.0931 | + | 1.07465i | −1.00428 | + | 0.0892450i | ||||
\(146\) | −2.73516 | + | 4.30520i | −0.226363 | + | 0.356301i | ||||
\(147\) | 18.7892i | 1.54971i | ||||||||
\(148\) | −4.96542 | − | 10.5793i | −0.408155 | − | 0.869612i | ||||
\(149\) | −4.21561 | − | 4.21561i | −0.345356 | − | 0.345356i | 0.513021 | − | 0.858376i | \(-0.328526\pi\) |
−0.858376 | + | 0.513021i | \(0.828526\pi\) | |||||||
\(150\) | −7.80250 | − | 18.6269i | −0.637071 | − | 1.52088i | ||||
\(151\) | 12.4417 | 1.01249 | 0.506244 | − | 0.862390i | \(-0.331034\pi\) | ||||
0.506244 | + | 0.862390i | \(0.331034\pi\) | |||||||
\(152\) | 16.0497 | + | 2.05181i | 1.30180 | + | 0.166424i | ||||
\(153\) | −16.1316 | + | 16.1316i | −1.30416 | + | 1.30416i | ||||
\(154\) | −0.624247 | + | 0.139211i | −0.0503033 | + | 0.0112179i | ||||
\(155\) | 0.200824 | − | 0.239997i | 0.0161306 | − | 0.0192771i | ||||
\(156\) | 10.9724 | + | 23.3777i | 0.878493 | + | 1.87171i | ||||
\(157\) | 7.50500 | 0.598964 | 0.299482 | − | 0.954102i | \(-0.403186\pi\) | ||||
0.299482 | + | 0.954102i | \(0.403186\pi\) | |||||||
\(158\) | −5.33387 | + | 1.18948i | −0.424340 | + | 0.0946302i | ||||
\(159\) | 7.87609 | 0.624615 | ||||||||
\(160\) | 11.6491 | − | 4.92942i | 0.920940 | − | 0.389705i | ||||
\(161\) | 1.65807 | 0.130675 | ||||||||
\(162\) | −2.92907 | + | 0.653199i | −0.230129 | + | 0.0513202i | ||||
\(163\) | −23.7284 | −1.85855 | −0.929277 | − | 0.369383i | \(-0.879569\pi\) | ||||
−0.929277 | + | 0.369383i | \(0.879569\pi\) | |||||||
\(164\) | 3.87193 | + | 8.24949i | 0.302347 | + | 0.644177i | ||||
\(165\) | 0.393929 | + | 4.43291i | 0.0306673 | + | 0.345102i | ||||
\(166\) | −19.9728 | + | 4.45404i | −1.55019 | + | 0.345701i | ||||
\(167\) | −0.402976 | + | 0.402976i | −0.0311832 | + | 0.0311832i | −0.722526 | − | 0.691343i | \(-0.757019\pi\) |
0.691343 | + | 0.722526i | \(0.257019\pi\) | |||||||
\(168\) | 0.664788 | − | 5.20010i | 0.0512895 | − | 0.401197i | ||||
\(169\) | −7.44028 | −0.572330 | ||||||||
\(170\) | −13.3313 | + | 4.24171i | −1.02247 | + | 0.325324i | ||||
\(171\) | −20.8596 | − | 20.8596i | −1.59517 | − | 1.59517i | ||||
\(172\) | −6.37261 | − | 13.5774i | −0.485907 | − | 1.03527i | ||||
\(173\) | − | 15.4500i | − | 1.17464i | −0.809355 | − | 0.587320i | \(-0.800183\pi\) | ||
0.809355 | − | 0.587320i | \(-0.199817\pi\) | |||||||
\(174\) | −11.7598 | + | 18.5102i | −0.891509 | + | 1.40325i | ||||
\(175\) | −2.66312 | − | 1.85392i | −0.201313 | − | 0.140143i | ||||
\(176\) | −2.77563 | + | 0.256820i | −0.209221 | + | 0.0193585i | ||||
\(177\) | 10.3536 | − | 10.3536i | 0.778225 | − | 0.778225i | ||||
\(178\) | −4.62419 | + | 1.03122i | −0.346597 | + | 0.0772932i | ||||
\(179\) | −5.20444 | − | 5.20444i | −0.388998 | − | 0.388998i | 0.485332 | − | 0.874330i | \(-0.338699\pi\) |
−0.874330 | + | 0.485332i | \(0.838699\pi\) | |||||||
\(180\) | −22.2989 | − | 5.88272i | −1.66206 | − | 0.438472i | ||||
\(181\) | −9.08925 | + | 9.08925i | −0.675599 | + | 0.675599i | −0.959001 | − | 0.283402i | \(-0.908537\pi\) |
0.283402 | + | 0.959001i | \(0.408537\pi\) | |||||||
\(182\) | 3.50236 | + | 2.22510i | 0.259612 | + | 0.164936i | ||||
\(183\) | 10.6467 | + | 10.6467i | 0.787024 | + | 0.787024i | ||||
\(184\) | 7.16804 | + | 0.916372i | 0.528435 | + | 0.0675559i | ||||
\(185\) | −8.38500 | + | 10.0206i | −0.616478 | + | 0.736730i | ||||
\(186\) | −0.123033 | − | 0.551704i | −0.00902123 | − | 0.0404529i | ||||
\(187\) | 3.08295 | 0.225448 | ||||||||
\(188\) | 11.0154 | + | 3.97814i | 0.803382 | + | 0.290136i | ||||
\(189\) | −2.82669 | + | 2.82669i | −0.205611 | + | 0.205611i | ||||
\(190\) | −5.48490 | − | 17.2386i | −0.397917 | − | 1.25062i | ||||
\(191\) | 15.1075i | 1.09314i | 0.837413 | + | 0.546571i | \(0.184067\pi\) | ||||
−0.837413 | + | 0.546571i | \(0.815933\pi\) | |||||||
\(192\) | 5.74791 | − | 22.1132i | 0.414820 | − | 1.59589i | ||||
\(193\) | 4.19166 | + | 4.19166i | 0.301722 | + | 0.301722i | 0.841687 | − | 0.539965i | \(-0.181563\pi\) |
−0.539965 | + | 0.841687i | \(0.681563\pi\) | |||||||
\(194\) | 5.31507 | − | 8.36604i | 0.381600 | − | 0.600647i | ||||
\(195\) | 18.5288 | − | 22.1431i | 1.32688 | − | 1.58570i | ||||
\(196\) | 5.59045 | + | 11.9110i | 0.399318 | + | 0.850783i | ||||
\(197\) | 4.03184i | 0.287256i | 0.989632 | + | 0.143628i | \(0.0458769\pi\) | ||||
−0.989632 | + | 0.143628i | \(0.954123\pi\) | |||||||
\(198\) | 4.28964 | + | 2.72527i | 0.304852 | + | 0.193677i | ||||
\(199\) | 5.43055i | 0.384961i | 0.981301 | + | 0.192481i | \(0.0616533\pi\) | ||||
−0.981301 | + | 0.192481i | \(0.938347\pi\) | |||||||
\(200\) | −10.4884 | − | 9.48654i | −0.741639 | − | 0.670800i | ||||
\(201\) | − | 9.50129i | − | 0.670169i | ||||||
\(202\) | 1.97914 | − | 3.11520i | 0.139252 | − | 0.219185i | ||||
\(203\) | 3.52363i | 0.247310i | ||||||||
\(204\) | −8.58345 | + | 23.7675i | −0.600962 | + | 1.66405i | ||||
\(205\) | 6.53844 | − | 7.81385i | 0.456664 | − | 0.545743i | ||||
\(206\) | 19.6928 | + | 12.5111i | 1.37206 | + | 0.871693i | ||||
\(207\) | −9.31622 | − | 9.31622i | −0.647522 | − | 0.647522i | ||||
\(208\) | 13.9114 | + | 11.5550i | 0.964579 | + | 0.801197i | ||||
\(209\) | 3.98653i | 0.275754i | ||||||||
\(210\) | −5.58531 | + | 1.77711i | −0.385423 | + | 0.122632i | ||||
\(211\) | 3.23020 | − | 3.23020i | 0.222376 | − | 0.222376i | −0.587122 | − | 0.809498i | \(-0.699739\pi\) |
0.809498 | + | 0.587122i | \(0.199739\pi\) | |||||||
\(212\) | 4.99286 | − | 2.34342i | 0.342911 | − | 0.160946i | ||||
\(213\) | 3.91432 | 0.268205 | ||||||||
\(214\) | 21.1334 | − | 4.71286i | 1.44465 | − | 0.322165i | ||||
\(215\) | −10.7613 | + | 12.8604i | −0.733914 | + | 0.877074i | ||||
\(216\) | −13.7823 | + | 10.6579i | −0.937770 | + | 0.725176i | ||||
\(217\) | −0.0642220 | − | 0.0642220i | −0.00435967 | − | 0.00435967i | ||||
\(218\) | 13.3845 | − | 21.0674i | 0.906511 | − | 1.42687i | ||||
\(219\) | 7.28363 | − | 7.28363i | 0.492182 | − | 0.492182i | ||||
\(220\) | 1.56867 | + | 2.69293i | 0.105760 | + | 0.181557i | ||||
\(221\) | −14.1430 | − | 14.1430i | −0.951363 | − | 0.951363i | ||||
\(222\) | 5.13700 | + | 23.0353i | 0.344773 | + | 1.54603i | ||||
\(223\) | 8.17319 | − | 8.17319i | 0.547317 | − | 0.547317i | −0.378347 | − | 0.925664i | \(-0.623507\pi\) |
0.925664 | + | 0.378347i | \(0.123507\pi\) | |||||||
\(224\) | −1.12579 | − | 3.49428i | −0.0752199 | − | 0.233471i | ||||
\(225\) | 4.54664 | + | 25.3799i | 0.303110 | + | 1.69199i | ||||
\(226\) | −4.28035 | − | 2.71937i | −0.284725 | − | 0.180890i | ||||
\(227\) | 1.54068i | 0.102258i | 0.998692 | + | 0.0511292i | \(0.0162820\pi\) | ||||
−0.998692 | + | 0.0511292i | \(0.983718\pi\) | |||||||
\(228\) | −30.7334 | − | 11.0992i | −2.03537 | − | 0.735060i | ||||
\(229\) | 17.5646 | + | 17.5646i | 1.16070 | + | 1.16070i | 0.984322 | + | 0.176378i | \(0.0564382\pi\) |
0.176378 | + | 0.984322i | \(0.443562\pi\) | |||||||
\(230\) | −2.44964 | − | 7.69903i | −0.161525 | − | 0.507659i | ||||
\(231\) | 1.29164 | 0.0849834 | ||||||||
\(232\) | −1.94741 | + | 15.2331i | −0.127854 | + | 1.00010i | ||||
\(233\) | −9.99018 | + | 9.99018i | −0.654479 | + | 0.654479i | −0.954068 | − | 0.299590i | \(-0.903150\pi\) |
0.299590 | + | 0.954068i | \(0.403150\pi\) | |||||||
\(234\) | −7.17652 | − | 32.1809i | −0.469144 | − | 2.10373i | ||||
\(235\) | −1.15904 | − | 13.0427i | −0.0756072 | − | 0.850814i | ||||
\(236\) | 3.48286 | − | 9.64399i | 0.226715 | − | 0.627771i | ||||
\(237\) | 11.0364 | 0.716889 | ||||||||
\(238\) | 0.883759 | + | 3.96294i | 0.0572856 | + | 0.256879i | ||||
\(239\) | −26.2762 | −1.69967 | −0.849833 | − | 0.527052i | \(-0.823297\pi\) | ||||
−0.849833 | + | 0.527052i | \(0.823297\pi\) | |||||||
\(240\) | −25.1281 | + | 4.59580i | −1.62201 | + | 0.296658i | ||||
\(241\) | −0.113242 | −0.00729456 | −0.00364728 | − | 0.999993i | \(-0.501161\pi\) | ||||
−0.00364728 | + | 0.999993i | \(0.501161\pi\) | |||||||
\(242\) | 3.23650 | + | 14.5131i | 0.208050 | + | 0.932935i | ||||
\(243\) | −12.4188 | −0.796665 | ||||||||
\(244\) | 9.91696 | + | 3.58144i | 0.634868 | + | 0.229278i | ||||
\(245\) | 9.44047 | − | 11.2820i | 0.603130 | − | 0.720778i | ||||
\(246\) | −4.00572 | − | 17.9624i | −0.255395 | − | 1.14524i | ||||
\(247\) | 18.2882 | − | 18.2882i | 1.16365 | − | 1.16365i | ||||
\(248\) | −0.242145 | − | 0.313133i | −0.0153762 | − | 0.0198840i | ||||
\(249\) | 41.3258 | 2.61892 | ||||||||
\(250\) | −4.67391 | + | 15.1048i | −0.295604 | + | 0.955311i | ||||
\(251\) | 19.2220 | + | 19.2220i | 1.21328 | + | 1.21328i | 0.969941 | + | 0.243339i | \(0.0782427\pi\) |
0.243339 | + | 0.969941i | \(0.421757\pi\) | |||||||
\(252\) | −2.27350 | + | 6.29529i | −0.143217 | + | 0.396566i | ||||
\(253\) | 1.78045i | 0.111936i | ||||||||
\(254\) | −1.03953 | − | 0.660430i | −0.0652260 | − | 0.0414390i | ||||
\(255\) | 28.1417 | − | 2.50080i | 1.76230 | − | 0.156606i | ||||
\(256\) | −2.93572 | − | 15.7284i | −0.183482 | − | 0.983023i | ||||
\(257\) | −0.757800 | + | 0.757800i | −0.0472703 | + | 0.0472703i | −0.730347 | − | 0.683077i | \(-0.760642\pi\) |
0.683077 | + | 0.730347i | \(0.260642\pi\) | |||||||
\(258\) | 6.59282 | + | 29.5634i | 0.410451 | + | 1.84054i | ||||
\(259\) | 2.68146 | + | 2.68146i | 0.166618 | + | 0.166618i | ||||
\(260\) | 5.15755 | − | 19.5501i | 0.319857 | − | 1.21244i | ||||
\(261\) | 19.7982 | − | 19.7982i | 1.22548 | − | 1.22548i | ||||
\(262\) | −10.2467 | + | 16.1286i | −0.633044 | + | 0.996425i | ||||
\(263\) | 5.73017 | + | 5.73017i | 0.353338 | + | 0.353338i | 0.861350 | − | 0.508012i | \(-0.169620\pi\) |
−0.508012 | + | 0.861350i | \(0.669620\pi\) | |||||||
\(264\) | 5.58389 | + | 0.713852i | 0.343665 | + | 0.0439346i | ||||
\(265\) | −4.72919 | − | 3.95728i | −0.290512 | − | 0.243094i | ||||
\(266\) | −5.12443 | + | 1.14278i | −0.314199 | + | 0.0700682i | ||||
\(267\) | 9.56795 | 0.585549 | ||||||||
\(268\) | −2.82697 | − | 6.02311i | −0.172685 | − | 0.367920i | ||||
\(269\) | −9.78879 | + | 9.78879i | −0.596833 | + | 0.596833i | −0.939468 | − | 0.342635i | \(-0.888680\pi\) |
0.342635 | + | 0.939468i | \(0.388680\pi\) | |||||||
\(270\) | 17.3015 | + | 8.94917i | 1.05293 | + | 0.544629i | ||||
\(271\) | 4.10159i | 0.249154i | 0.992210 | + | 0.124577i | \(0.0397574\pi\) | ||||
−0.992210 | + | 0.124577i | \(0.960243\pi\) | |||||||
\(272\) | 1.63038 | + | 17.6207i | 0.0988565 | + | 1.06841i | ||||
\(273\) | −5.92537 | − | 5.92537i | −0.358620 | − | 0.358620i | ||||
\(274\) | −6.25074 | − | 3.97119i | −0.377621 | − | 0.239908i | ||||
\(275\) | 1.99075 | − | 2.85967i | 0.120046 | − | 0.172444i | ||||
\(276\) | −13.7260 | − | 4.95706i | −0.826209 | − | 0.298380i | ||||
\(277\) | − | 24.6755i | − | 1.48261i | −0.671169 | − | 0.741305i | \(-0.734207\pi\) | ||
0.671169 | − | 0.741305i | \(-0.265793\pi\) | |||||||
\(278\) | 5.86396 | − | 9.23000i | 0.351697 | − | 0.553578i | ||||
\(279\) | 0.721688i | 0.0432063i | ||||||||
\(280\) | −3.01192 | + | 2.78838i | −0.179997 | + | 0.166638i | ||||
\(281\) | − | 23.6688i | − | 1.41196i | −0.708230 | − | 0.705981i | \(-0.750506\pi\) | ||
0.708230 | − | 0.705981i | \(-0.249494\pi\) | |||||||
\(282\) | −19.9637 | − | 12.6832i | −1.18882 | − | 0.755275i | ||||
\(283\) | 13.0492i | 0.775694i | 0.921724 | + | 0.387847i | \(0.126781\pi\) | ||||
−0.921724 | + | 0.387847i | \(0.873219\pi\) | |||||||
\(284\) | 2.48139 | − | 1.16465i | 0.147243 | − | 0.0691091i | ||||
\(285\) | 3.23375 | + | 36.3897i | 0.191551 | + | 2.15554i | ||||
\(286\) | −2.38932 | + | 3.76085i | −0.141284 | + | 0.222384i | ||||
\(287\) | −2.09094 | − | 2.09094i | −0.123424 | − | 0.123424i | ||||
\(288\) | −13.3078 | + | 25.9588i | −0.784172 | + | 1.52963i | ||||
\(289\) | − | 2.57168i | − | 0.151275i | ||||||
\(290\) | 16.3615 | − | 5.20582i | 0.960778 | − | 0.305696i | ||||
\(291\) | −14.1539 | + | 14.1539i | −0.829714 | + | 0.829714i | ||||
\(292\) | 2.45015 | − | 6.78442i | 0.143384 | − | 0.397028i | ||||
\(293\) | −31.6731 | −1.85036 | −0.925181 | − | 0.379526i | \(-0.876087\pi\) | ||||
−0.925181 | + | 0.379526i | \(0.876087\pi\) | |||||||
\(294\) | −5.78363 | − | 25.9349i | −0.337308 | − | 1.51255i | ||||
\(295\) | −11.4189 | + | 1.01474i | −0.664835 | + | 0.0590802i | ||||
\(296\) | 10.1103 | + | 13.0742i | 0.587649 | + | 0.759924i | ||||
\(297\) | −3.03531 | − | 3.03531i | −0.176127 | − | 0.176127i | ||||
\(298\) | 7.11646 | + | 4.52120i | 0.412246 | + | 0.261906i | ||||
\(299\) | 8.16779 | − | 8.16779i | 0.472355 | − | 0.472355i | ||||
\(300\) | 16.5035 | + | 23.3091i | 0.952830 | + | 1.34575i | ||||
\(301\) | 3.44138 | + | 3.44138i | 0.198358 | + | 0.198358i | ||||
\(302\) | −17.1733 | + | 3.82975i | −0.988213 | + | 0.220377i | ||||
\(303\) | −5.27037 | + | 5.27037i | −0.302775 | + | 0.302775i | ||||
\(304\) | −22.7851 | + | 2.10823i | −1.30682 | + | 0.120915i | ||||
\(305\) | −1.04346 | − | 11.7421i | −0.0597482 | − | 0.672351i | ||||
\(306\) | 17.3010 | − | 27.2322i | 0.989033 | − | 1.55676i | ||||
\(307\) | 27.3597i | 1.56150i | 0.624843 | + | 0.780751i | \(0.285163\pi\) | ||||
−0.624843 | + | 0.780751i | \(0.714837\pi\) | |||||||
\(308\) | 0.818802 | − | 0.384307i | 0.0466556 | − | 0.0218979i | ||||
\(309\) | −33.3168 | − | 33.3168i | −1.89532 | − | 1.89532i | ||||
\(310\) | −0.203324 | + | 0.393087i | −0.0115480 | + | 0.0223259i | ||||
\(311\) | −15.8076 | −0.896368 | −0.448184 | − | 0.893941i | \(-0.647929\pi\) | ||||
−0.448184 | + | 0.893941i | \(0.647929\pi\) | |||||||
\(312\) | −22.3413 | − | 28.8909i | −1.26483 | − | 1.63562i | ||||
\(313\) | 13.8388 | − | 13.8388i | 0.782217 | − | 0.782217i | −0.197988 | − | 0.980205i | \(-0.563441\pi\) |
0.980205 | + | 0.197988i | \(0.0634406\pi\) | |||||||
\(314\) | −10.3592 | + | 2.31016i | −0.584604 | + | 0.130370i | ||||
\(315\) | 7.45390 | − | 0.662387i | 0.419980 | − | 0.0373213i | ||||
\(316\) | 6.99624 | − | 3.28371i | 0.393569 | − | 0.184723i | ||||
\(317\) | −35.0092 | −1.96631 | −0.983156 | − | 0.182766i | \(-0.941495\pi\) | ||||
−0.983156 | + | 0.182766i | \(0.941495\pi\) | |||||||
\(318\) | −10.8714 | + | 2.42439i | −0.609639 | + | 0.135953i | ||||
\(319\) | −3.78369 | −0.211846 | ||||||||
\(320\) | −14.5619 | + | 10.3899i | −0.814037 | + | 0.580813i | ||||
\(321\) | −43.7272 | −2.44062 | ||||||||
\(322\) | −2.28865 | + | 0.510383i | −0.127542 | + | 0.0284425i | ||||
\(323\) | 25.3079 | 1.40817 | ||||||||
\(324\) | 3.84195 | − | 1.80323i | 0.213442 | − | 0.100180i | ||||
\(325\) | −22.2512 | + | 3.98617i | −1.23428 | + | 0.221113i | ||||
\(326\) | 32.7525 | − | 7.30401i | 1.81400 | − | 0.404532i | ||||
\(327\) | −35.6424 | + | 35.6424i | −1.97103 | + | 1.97103i | ||||
\(328\) | −7.88378 | − | 10.1950i | −0.435309 | − | 0.562924i | ||||
\(329\) | −3.80032 | −0.209518 | ||||||||
\(330\) | −1.90827 | − | 5.99753i | −0.105047 | − | 0.330153i | ||||
\(331\) | 16.8212 | + | 16.8212i | 0.924578 | + | 0.924578i | 0.997349 | − | 0.0727709i | \(-0.0231842\pi\) |
−0.0727709 | + | 0.997349i | \(0.523184\pi\) | |||||||
\(332\) | 26.1975 | − | 12.2959i | 1.43778 | − | 0.674825i | ||||
\(333\) | − | 30.1326i | − | 1.65126i | ||||||
\(334\) | 0.432188 | − | 0.680273i | 0.0236483 | − | 0.0372229i | ||||
\(335\) | −4.77384 | + | 5.70504i | −0.260823 | + | 0.311700i | ||||
\(336\) | 0.683066 | + | 7.38238i | 0.0372643 | + | 0.402742i | ||||
\(337\) | 14.4984 | − | 14.4984i | 0.789777 | − | 0.789777i | −0.191680 | − | 0.981457i | \(-0.561394\pi\) |
0.981457 | + | 0.191680i | \(0.0613937\pi\) | |||||||
\(338\) | 10.2699 | − | 2.29024i | 0.558608 | − | 0.124573i | ||||
\(339\) | 7.24160 | + | 7.24160i | 0.393310 | + | 0.393310i | ||||
\(340\) | 17.0957 | − | 9.95847i | 0.927144 | − | 0.540074i | ||||
\(341\) | 0.0689618 | − | 0.0689618i | 0.00373449 | − | 0.00373449i | ||||
\(342\) | 35.2136 | + | 22.3717i | 1.90413 | + | 1.20972i | ||||
\(343\) | −6.23125 | − | 6.23125i | −0.336456 | − | 0.336456i | ||||
\(344\) | 12.9755 | + | 16.7794i | 0.699593 | + | 0.904687i | ||||
\(345\) | 1.44424 | + | 16.2522i | 0.0777555 | + | 0.874989i | ||||
\(346\) | 4.75576 | + | 21.3257i | 0.255671 | + | 1.14648i | ||||
\(347\) | −16.7705 | −0.900286 | −0.450143 | − | 0.892956i | \(-0.648627\pi\) | ||||
−0.450143 | + | 0.892956i | \(0.648627\pi\) | |||||||
\(348\) | 10.5344 | − | 29.1696i | 0.564704 | − | 1.56366i | ||||
\(349\) | −1.86337 | + | 1.86337i | −0.0997439 | + | 0.0997439i | −0.755218 | − | 0.655474i | \(-0.772469\pi\) |
0.655474 | + | 0.755218i | \(0.272469\pi\) | |||||||
\(350\) | 4.24659 | + | 1.73923i | 0.226990 | + | 0.0929656i | ||||
\(351\) | 27.8489i | 1.48647i | ||||||||
\(352\) | 3.75217 | − | 1.20888i | 0.199991 | − | 0.0644333i | ||||
\(353\) | 24.1362 | + | 24.1362i | 1.28464 | + | 1.28464i | 0.937998 | + | 0.346642i | \(0.112678\pi\) |
0.346642 | + | 0.937998i | \(0.387322\pi\) | |||||||
\(354\) | −11.1042 | + | 17.4782i | −0.590179 | + | 0.928955i | ||||
\(355\) | −2.35035 | − | 1.96672i | −0.124744 | − | 0.104382i | ||||
\(356\) | 6.06537 | − | 2.84680i | 0.321464 | − | 0.150880i | ||||
\(357\) | − | 8.19976i | − | 0.433978i | ||||||
\(358\) | 8.78574 | + | 5.58171i | 0.464341 | + | 0.295003i | ||||
\(359\) | − | 12.2500i | − | 0.646532i | −0.946308 | − | 0.323266i | \(-0.895219\pi\) | ||
0.946308 | − | 0.323266i | \(-0.104781\pi\) | |||||||
\(360\) | 32.5901 | + | 1.25599i | 1.71765 | + | 0.0661965i | ||||
\(361\) | 13.7253i | 0.722386i | ||||||||
\(362\) | 9.74814 | − | 15.3438i | 0.512351 | − | 0.806451i | ||||
\(363\) | − | 30.0291i | − | 1.57612i | ||||||
\(364\) | −5.51926 | − | 1.99324i | −0.289288 | − | 0.104474i | ||||
\(365\) | −8.03305 | + | 0.713853i | −0.420469 | + | 0.0373648i | ||||
\(366\) | −17.9729 | − | 11.4185i | −0.939458 | − | 0.596852i | ||||
\(367\) | −2.71307 | − | 2.71307i | −0.141621 | − | 0.141621i | 0.632742 | − | 0.774363i | \(-0.281929\pi\) |
−0.774363 | + | 0.632742i | \(0.781929\pi\) | |||||||
\(368\) | −10.1762 | + | 0.941567i | −0.530470 | + | 0.0490826i | ||||
\(369\) | 23.4967i | 1.22319i | ||||||||
\(370\) | 8.48938 | − | 16.4126i | 0.441342 | − | 0.853249i | ||||
\(371\) | −1.26551 | + | 1.26551i | −0.0657018 | + | 0.0657018i | ||||
\(372\) | 0.339647 | + | 0.723649i | 0.0176099 | + | 0.0375195i | ||||
\(373\) | 16.4846 | 0.853541 | 0.426771 | − | 0.904360i | \(-0.359651\pi\) | ||||
0.426771 | + | 0.904360i | \(0.359651\pi\) | |||||||
\(374\) | −4.25542 | + | 0.948984i | −0.220043 | + | 0.0490708i | ||||
\(375\) | 15.8522 | − | 27.7183i | 0.818603 | − | 1.43137i | ||||
\(376\) | −16.4292 | − | 2.10033i | −0.847272 | − | 0.108316i | ||||
\(377\) | 17.3576 | + | 17.3576i | 0.893964 | + | 0.893964i | ||||
\(378\) | 3.03160 | − | 4.77180i | 0.155929 | − | 0.245435i | ||||
\(379\) | 13.7716 | − | 13.7716i | 0.707401 | − | 0.707401i | −0.258587 | − | 0.965988i | \(-0.583257\pi\) |
0.965988 | + | 0.258587i | \(0.0832568\pi\) | |||||||
\(380\) | 12.8772 | + | 22.1062i | 0.660585 | + | 1.13403i | ||||
\(381\) | 1.75870 | + | 1.75870i | 0.0901011 | + | 0.0901011i | ||||
\(382\) | −4.65034 | − | 20.8530i | −0.237932 | − | 1.06693i | ||||
\(383\) | −11.5530 | + | 11.5530i | −0.590332 | + | 0.590332i | −0.937721 | − | 0.347389i | \(-0.887068\pi\) |
0.347389 | + | 0.937721i | \(0.387068\pi\) | |||||||
\(384\) | −1.12707 | + | 32.2924i | −0.0575153 | + | 1.64791i | ||||
\(385\) | −0.775562 | − | 0.648972i | −0.0395263 | − | 0.0330747i | ||||
\(386\) | −7.07604 | − | 4.49552i | −0.360161 | − | 0.228816i | ||||
\(387\) | − | 38.6722i | − | 1.96582i | ||||||
\(388\) | −4.76123 | + | 13.1838i | −0.241715 | + | 0.669305i | ||||
\(389\) | 15.7728 | + | 15.7728i | 0.799712 | + | 0.799712i | 0.983050 | − | 0.183338i | \(-0.0586903\pi\) |
−0.183338 | + | 0.983050i | \(0.558690\pi\) | |||||||
\(390\) | −18.7595 | + | 36.2678i | −0.949922 | + | 1.83649i | ||||
\(391\) | 11.3029 | 0.571612 | ||||||||
\(392\) | −11.3829 | − | 14.7200i | −0.574925 | − | 0.743470i | ||||
\(393\) | 27.2867 | − | 27.2867i | 1.37643 | − | 1.37643i | ||||
\(394\) | −1.24107 | − | 5.56517i | −0.0625240 | − | 0.280369i | ||||
\(395\) | −6.62677 | − | 5.54512i | −0.333429 | − | 0.279006i | ||||
\(396\) | −6.75991 | − | 2.44129i | −0.339698 | − | 0.122680i | ||||
\(397\) | 29.9558 | 1.50344 | 0.751720 | − | 0.659483i | \(-0.229225\pi\) | ||||
0.751720 | + | 0.659483i | \(0.229225\pi\) | |||||||
\(398\) | −1.67161 | − | 7.49583i | −0.0837904 | − | 0.375732i | ||||
\(399\) | 10.6030 | 0.530815 | ||||||||
\(400\) | 17.3973 | + | 9.86585i | 0.869863 | + | 0.493293i | ||||
\(401\) | 19.9241 | 0.994963 | 0.497481 | − | 0.867475i | \(-0.334258\pi\) | ||||
0.497481 | + | 0.867475i | \(0.334258\pi\) | |||||||
\(402\) | 2.92465 | + | 13.1147i | 0.145868 | + | 0.654102i | ||||
\(403\) | −0.632724 | −0.0315182 | ||||||||
\(404\) | −1.77291 | + | 4.90915i | −0.0882054 | + | 0.244239i | ||||
\(405\) | −3.63906 | − | 3.04508i | −0.180826 | − | 0.151311i | ||||
\(406\) | −1.08463 | − | 4.86369i | −0.0538294 | − | 0.241381i | ||||
\(407\) | −2.87936 | + | 2.87936i | −0.142725 | + | 0.142725i | ||||
\(408\) | 4.53179 | − | 35.4485i | 0.224357 | − | 1.75496i | ||||
\(409\) | −5.89856 | −0.291665 | −0.145832 | − | 0.989309i | \(-0.546586\pi\) | ||||
−0.145832 | + | 0.989309i | \(0.546586\pi\) | |||||||
\(410\) | −6.61982 | + | 12.7982i | −0.326930 | + | 0.632056i | ||||
\(411\) | 10.5751 | + | 10.5751i | 0.521634 | + | 0.521634i | ||||
\(412\) | −31.0333 | − | 11.2075i | −1.52890 | − | 0.552152i | ||||
\(413\) | 3.32717i | 0.163720i | ||||||||
\(414\) | 15.7269 | + | 9.99156i | 0.772936 | + | 0.491058i | ||||
\(415\) | −24.8141 | − | 20.7638i | −1.21808 | − | 1.01926i | ||||
\(416\) | −22.7588 | − | 11.6674i | −1.11584 | − | 0.572039i | ||||
\(417\) | −15.6155 | + | 15.6155i | −0.764696 | + | 0.764696i | ||||
\(418\) | −1.22712 | − | 5.50264i | −0.0600204 | − | 0.269143i | ||||
\(419\) | −8.24430 | − | 8.24430i | −0.402760 | − | 0.402760i | 0.476444 | − | 0.879205i | \(-0.341925\pi\) |
−0.879205 | + | 0.476444i | \(0.841925\pi\) | |||||||
\(420\) | 7.16242 | − | 4.17221i | 0.349490 | − | 0.203583i | ||||
\(421\) | −17.1776 | + | 17.1776i | −0.837184 | + | 0.837184i | −0.988487 | − | 0.151304i | \(-0.951653\pi\) |
0.151304 | + | 0.988487i | \(0.451653\pi\) | |||||||
\(422\) | −3.46436 | + | 5.45297i | −0.168642 | + | 0.265447i | ||||
\(423\) | 21.3528 | + | 21.3528i | 1.03821 | + | 1.03821i | ||||
\(424\) | −6.17034 | + | 4.77152i | −0.299658 | + | 0.231725i | ||||
\(425\) | −18.1542 | − | 12.6380i | −0.880607 | − | 0.613031i | ||||
\(426\) | −5.40296 | + | 1.20489i | −0.261774 | + | 0.0583772i | ||||
\(427\) | −3.42135 | −0.165571 | ||||||||
\(428\) | −27.7198 | + | 13.0104i | −1.33989 | + | 0.628881i | ||||
\(429\) | 6.36269 | − | 6.36269i | 0.307194 | − | 0.307194i | ||||
\(430\) | 10.8952 | − | 21.0639i | 0.525415 | − | 1.01579i | ||||
\(431\) | − | 32.1769i | − | 1.54990i | −0.632020 | − | 0.774952i | \(-0.717774\pi\) | ||
0.632020 | − | 0.774952i | \(-0.282226\pi\) | |||||||
\(432\) | 15.7432 | − | 18.9536i | 0.757445 | − | 0.911904i | ||||
\(433\) | −20.3383 | − | 20.3383i | −0.977396 | − | 0.977396i | 0.0223540 | − | 0.999750i | \(-0.492884\pi\) |
−0.999750 | + | 0.0223540i | \(0.992884\pi\) | |||||||
\(434\) | 0.108415 | + | 0.0688775i | 0.00520407 | + | 0.00330623i | ||||
\(435\) | −34.5381 | + | 3.06921i | −1.65598 | + | 0.147158i | ||||
\(436\) | −11.9898 | + | 33.1995i | −0.574206 | + | 1.58997i | ||||
\(437\) | 14.6156i | 0.699161i | ||||||||
\(438\) | −7.81163 | + | 12.2957i | −0.373254 | + | 0.587510i | ||||
\(439\) | 35.4180i | 1.69041i | 0.534444 | + | 0.845204i | \(0.320521\pi\) | ||||
−0.534444 | + | 0.845204i | \(0.679479\pi\) | |||||||
\(440\) | −2.99418 | − | 3.23421i | −0.142742 | − | 0.154185i | ||||
\(441\) | 33.9256i | 1.61550i | ||||||||
\(442\) | 23.8752 | + | 15.1683i | 1.13563 | + | 0.721481i | ||||
\(443\) | − | 3.03787i | − | 0.144333i | −0.997393 | − | 0.0721667i | \(-0.977009\pi\) | ||
0.997393 | − | 0.0721667i | \(-0.0229913\pi\) | |||||||
\(444\) | −14.1813 | − | 30.2145i | −0.673014 | − | 1.43392i | ||||
\(445\) | −5.74507 | − | 4.80733i | −0.272342 | − | 0.227890i | ||||
\(446\) | −8.76567 | + | 13.7974i | −0.415067 | + | 0.653324i | ||||
\(447\) | −12.0398 | − | 12.0398i | −0.569463 | − | 0.569463i | ||||
\(448\) | 2.62953 | + | 4.47664i | 0.124234 | + | 0.211502i | ||||
\(449\) | 8.65559i | 0.408483i | 0.978921 | + | 0.204241i | \(0.0654727\pi\) | ||||
−0.978921 | + | 0.204241i | \(0.934527\pi\) | |||||||
\(450\) | −14.0881 | − | 33.6325i | −0.664120 | − | 1.58545i | ||||
\(451\) | 2.24526 | − | 2.24526i | 0.105725 | − | 0.105725i | ||||
\(452\) | 6.74527 | + | 2.43601i | 0.317271 | + | 0.114580i | ||||
\(453\) | 35.5335 | 1.66951 | ||||||||
\(454\) | −0.474247 | − | 2.12661i | −0.0222575 | − | 0.0998068i | ||||
\(455\) | 0.580733 | + | 6.53504i | 0.0272252 | + | 0.306367i | ||||
\(456\) | 45.8381 | + | 5.86000i | 2.14656 | + | 0.274420i | ||||
\(457\) | 13.5575 | + | 13.5575i | 0.634193 | + | 0.634193i | 0.949117 | − | 0.314924i | \(-0.101979\pi\) |
−0.314924 | + | 0.949117i | \(0.601979\pi\) | |||||||
\(458\) | −29.6512 | − | 18.8379i | −1.38551 | − | 0.880236i | ||||
\(459\) | −19.2692 | + | 19.2692i | −0.899411 | + | 0.899411i | ||||
\(460\) | 5.75115 | + | 9.87298i | 0.268149 | + | 0.460330i | ||||
\(461\) | −1.19682 | − | 1.19682i | −0.0557416 | − | 0.0557416i | 0.678687 | − | 0.734428i | \(-0.262550\pi\) |
−0.734428 | + | 0.678687i | \(0.762550\pi\) | |||||||
\(462\) | −1.78286 | + | 0.397587i | −0.0829459 | + | 0.0184974i | ||||
\(463\) | 21.1815 | − | 21.1815i | 0.984390 | − | 0.984390i | −0.0154904 | − | 0.999880i | \(-0.504931\pi\) |
0.999880 | + | 0.0154904i | \(0.00493096\pi\) | |||||||
\(464\) | −2.00096 | − | 21.6258i | −0.0928921 | − | 1.00395i | ||||
\(465\) | 0.573555 | − | 0.685435i | 0.0265980 | − | 0.0317863i | ||||
\(466\) | 10.7144 | − | 16.8647i | 0.496334 | − | 0.781241i | ||||
\(467\) | − | 24.8448i | − | 1.14968i | −0.818266 | − | 0.574840i | \(-0.805064\pi\) | ||
0.818266 | − | 0.574840i | \(-0.194936\pi\) | |||||||
\(468\) | 19.8116 | + | 42.2105i | 0.915792 | + | 1.95118i | ||||
\(469\) | 1.52664 | + | 1.52664i | 0.0704936 | + | 0.0704936i | ||||
\(470\) | 5.61460 | + | 17.6462i | 0.258982 | + | 0.813959i | ||||
\(471\) | 21.4343 | 0.987642 | ||||||||
\(472\) | −1.83884 | + | 14.3838i | −0.0846394 | + | 0.662066i | ||||
\(473\) | −3.69537 | + | 3.69537i | −0.169913 | + | 0.169913i | ||||
\(474\) | −15.2336 | + | 3.39717i | −0.699701 | + | 0.156037i | ||||
\(475\) | 16.3420 | − | 23.4749i | 0.749822 | − | 1.07710i | ||||
\(476\) | −2.43972 | − | 5.19804i | −0.111824 | − | 0.238252i | ||||
\(477\) | 14.2210 | 0.651135 | ||||||||
\(478\) | 36.2692 | − | 8.08825i | 1.65892 | − | 0.369948i | ||||
\(479\) | 23.5766 | 1.07724 | 0.538621 | − | 0.842548i | \(-0.318946\pi\) | ||||
0.538621 | + | 0.842548i | \(0.318946\pi\) | |||||||
\(480\) | 33.2698 | − | 14.0785i | 1.51855 | − | 0.642591i | ||||
\(481\) | 26.4181 | 1.20456 | ||||||||
\(482\) | 0.156309 | − | 0.0348578i | 0.00711967 | − | 0.00158773i | ||||
\(483\) | 4.73547 | 0.215471 | ||||||||
\(484\) | −8.93472 | − | 19.0362i | −0.406124 | − | 0.865284i | ||||
\(485\) | 15.6102 | − | 1.38719i | 0.708821 | − | 0.0629891i | ||||
\(486\) | 17.1417 | − | 3.82271i | 0.777565 | − | 0.173401i | ||||
\(487\) | −2.63011 | + | 2.63011i | −0.119182 | + | 0.119182i | −0.764182 | − | 0.645001i | \(-0.776857\pi\) |
0.645001 | + | 0.764182i | \(0.276857\pi\) | |||||||
\(488\) | −14.7909 | − | 1.89089i | −0.669552 | − | 0.0855964i | ||||
\(489\) | −67.7686 | −3.06460 | ||||||||
\(490\) | −9.55798 | + | 18.4785i | −0.431786 | + | 0.834774i | ||||
\(491\) | −18.6899 | − | 18.6899i | −0.843465 | − | 0.843465i | 0.145843 | − | 0.989308i | \(-0.453411\pi\) |
−0.989308 | + | 0.145843i | \(0.953411\pi\) | |||||||
\(492\) | 11.0582 | + | 23.5606i | 0.498544 | + | 1.06219i | ||||
\(493\) | 24.0202i | 1.08182i | ||||||||
\(494\) | −19.6139 | + | 30.8727i | −0.882472 | + | 1.38903i | ||||
\(495\) | 0.711274 | + | 8.00403i | 0.0319694 | + | 0.359754i | ||||
\(496\) | 0.430623 | + | 0.357683i | 0.0193355 | + | 0.0160605i | ||||
\(497\) | −0.628940 | + | 0.628940i | −0.0282118 | + | 0.0282118i | ||||
\(498\) | −57.0424 | + | 12.7208i | −2.55613 | + | 0.570032i | ||||
\(499\) | 9.69342 | + | 9.69342i | 0.433937 | + | 0.433937i | 0.889965 | − | 0.456028i | \(-0.150728\pi\) |
−0.456028 | + | 0.889965i | \(0.650728\pi\) | |||||||
\(500\) | 1.80192 | − | 22.2880i | 0.0805845 | − | 0.996748i | ||||
\(501\) | −1.15090 | + | 1.15090i | −0.0514185 | + | 0.0514185i | ||||
\(502\) | −32.4491 | − | 20.6154i | −1.44827 | − | 0.920110i | ||||
\(503\) | −13.0434 | − | 13.0434i | −0.581577 | − | 0.581577i | 0.353759 | − | 0.935336i | \(-0.384903\pi\) |
−0.935336 | + | 0.353759i | \(0.884903\pi\) | |||||||
\(504\) | 1.20034 | − | 9.38926i | 0.0534672 | − | 0.418231i | ||||
\(505\) | 5.81265 | − | 0.516538i | 0.258659 | − | 0.0229856i | ||||
\(506\) | −0.548051 | − | 2.45756i | −0.0243638 | − | 0.109252i | ||||
\(507\) | −21.2495 | −0.943724 | ||||||||
\(508\) | 1.63816 | + | 0.591611i | 0.0726817 | + | 0.0262485i | ||||
\(509\) | 25.8539 | − | 25.8539i | 1.14595 | − | 1.14595i | 0.158611 | − | 0.987341i | \(-0.449298\pi\) |
0.987341 | − | 0.158611i | \(-0.0507016\pi\) | |||||||
\(510\) | −38.0744 | + | 12.1144i | −1.68596 | + | 0.536433i | ||||
\(511\) | 2.34062i | 0.103543i | ||||||||
\(512\) | 8.89365 | + | 20.8063i | 0.393047 | + | 0.919518i | ||||
\(513\) | −24.9168 | − | 24.9168i | −1.10010 | − | 1.10010i | ||||
\(514\) | 0.812734 | − | 1.27926i | 0.0358481 | − | 0.0564258i | ||||
\(515\) | 3.26531 | + | 36.7448i | 0.143887 | + | 1.61917i | ||||
\(516\) | −18.2002 | − | 38.7773i | −0.801221 | − | 1.70707i | ||||
\(517\) | − | 4.08080i | − | 0.179473i | ||||||
\(518\) | −4.52664 | − | 2.87584i | −0.198889 | − | 0.126357i | ||||
\(519\) | − | 44.1252i | − | 1.93688i | ||||||
\(520\) | −1.10116 | + | 28.5727i | −0.0482892 | + | 1.25300i | ||||
\(521\) | 25.0528i | 1.09758i | 0.835959 | + | 0.548792i | \(0.184912\pi\) | ||||
−0.835959 | + | 0.548792i | \(0.815088\pi\) | |||||||
\(522\) | −21.2334 | + | 33.4218i | −0.929361 | + | 1.46283i | ||||
\(523\) | 40.3434i | 1.76410i | 0.471160 | + | 0.882048i | \(0.343835\pi\) | ||||
−0.471160 | + | 0.882048i | \(0.656165\pi\) | |||||||
\(524\) | 9.17898 | − | 25.4165i | 0.400986 | − | 1.11032i | ||||
\(525\) | −7.60588 | − | 5.29481i | −0.331948 | − | 0.231084i | ||||
\(526\) | −9.67325 | − | 6.14556i | −0.421774 | − | 0.267959i | ||||
\(527\) | −0.437794 | − | 0.437794i | −0.0190706 | − | 0.0190706i | ||||
\(528\) | −7.92723 | + | 0.733479i | −0.344988 | + | 0.0319206i | ||||
\(529\) | − | 16.4724i | − | 0.716192i | ||||||
\(530\) | 7.74586 | + | 4.00653i | 0.336459 | + | 0.174033i | ||||
\(531\) | 18.6944 | − | 18.6944i | 0.811267 | − | 0.811267i | ||||
\(532\) | 6.72153 | − | 3.15477i | 0.291415 | − | 0.136777i | ||||
\(533\) | −20.6003 | −0.892296 | ||||||||
\(534\) | −13.2067 | + | 2.94517i | −0.571510 | + | 0.127450i | ||||
\(535\) | 26.2560 | + | 21.9704i | 1.13515 | + | 0.949862i | ||||
\(536\) | 5.75610 | + | 7.44356i | 0.248626 | + | 0.321513i | ||||
\(537\) | −14.8639 | − | 14.8639i | −0.641425 | − | 0.641425i | ||||
\(538\) | 10.4984 | − | 16.5247i | 0.452618 | − | 0.712430i | ||||
\(539\) | 3.24180 | − | 3.24180i | 0.139634 | − | 0.139634i | ||||
\(540\) | −26.6361 | − | 7.02692i | −1.14623 | − | 0.302390i | ||||
\(541\) | −24.7446 | − | 24.7446i | −1.06385 | − | 1.06385i | −0.997817 | − | 0.0660360i | \(-0.978965\pi\) |
−0.0660360 | − | 0.997817i | \(-0.521035\pi\) | |||||||
\(542\) | −1.26254 | − | 5.66146i | −0.0542307 | − | 0.243181i | ||||
\(543\) | −25.9590 | + | 25.9590i | −1.11401 | + | 1.11401i | ||||
\(544\) | −7.67437 | − | 23.8201i | −0.329036 | − | 1.02128i | ||||
\(545\) | 39.3097 | − | 3.49324i | 1.68384 | − | 0.149634i | ||||
\(546\) | 10.0028 | + | 6.35491i | 0.428079 | + | 0.271965i | ||||
\(547\) | − | 19.0254i | − | 0.813465i | −0.913547 | − | 0.406733i | \(-0.866668\pi\) | ||
0.913547 | − | 0.406733i | \(-0.133332\pi\) | |||||||
\(548\) | 9.85034 | + | 3.55738i | 0.420786 | + | 0.151964i | ||||
\(549\) | 19.2235 | + | 19.2235i | 0.820440 | + | 0.820440i | ||||
\(550\) | −1.86759 | + | 4.56000i | −0.0796342 | + | 0.194439i | ||||
\(551\) | −31.0602 | −1.32321 | ||||||||
\(552\) | 20.4720 | + | 2.61717i | 0.871346 | + | 0.111394i | ||||
\(553\) | −1.77329 | + | 1.77329i | −0.0754079 | + | 0.0754079i | ||||
\(554\) | 7.59554 | + | 34.0598i | 0.322704 | + | 1.44706i | ||||
\(555\) | −23.9476 | + | 28.6189i | −1.01652 | + | 1.21481i | ||||
\(556\) | −5.25292 | + | 14.5453i | −0.222773 | + | 0.616856i | ||||
\(557\) | 30.9517 | 1.31146 | 0.655732 | − | 0.754993i | \(-0.272360\pi\) | ||||
0.655732 | + | 0.754993i | \(0.272360\pi\) | |||||||
\(558\) | −0.222148 | − | 0.996151i | −0.00940425 | − | 0.0421704i | ||||
\(559\) | 33.9050 | 1.43403 | ||||||||
\(560\) | 3.29907 | − | 4.77594i | 0.139411 | − | 0.201820i | ||||
\(561\) | 8.80494 | 0.371745 | ||||||||
\(562\) | 7.28565 | + | 32.6702i | 0.307327 | + | 1.37811i | ||||
\(563\) | 3.50238 | 0.147608 | 0.0738039 | − | 0.997273i | \(-0.476486\pi\) | ||||
0.0738039 | + | 0.997273i | \(0.476486\pi\) | |||||||
\(564\) | 31.4601 | + | 11.3616i | 1.32471 | + | 0.478410i | ||||
\(565\) | −0.709734 | − | 7.98670i | −0.0298587 | − | 0.336003i | ||||
\(566\) | −4.01676 | − | 18.0119i | −0.168837 | − | 0.757097i | ||||
\(567\) | −0.973793 | + | 0.973793i | −0.0408955 | + | 0.0408955i | ||||
\(568\) | −3.06658 | + | 2.37138i | −0.128671 | + | 0.0995011i | ||||
\(569\) | 0.525780 | 0.0220418 | 0.0110209 | − | 0.999939i | \(-0.496492\pi\) | ||||
0.0110209 | + | 0.999939i | \(0.496492\pi\) | |||||||
\(570\) | −15.6649 | − | 49.2336i | −0.656131 | − | 2.06217i | ||||
\(571\) | −11.2487 | − | 11.2487i | −0.470743 | − | 0.470743i | 0.431412 | − | 0.902155i | \(-0.358016\pi\) |
−0.902155 | + | 0.431412i | \(0.858016\pi\) | |||||||
\(572\) | 2.14035 | − | 5.92660i | 0.0894926 | − | 0.247804i | ||||
\(573\) | 43.1472i | 1.80250i | ||||||||
\(574\) | 3.52977 | + | 2.24252i | 0.147330 | + | 0.0936008i | ||||
\(575\) | 7.29859 | − | 10.4843i | 0.304372 | − | 0.437224i | ||||
\(576\) | 10.3784 | − | 39.9275i | 0.432432 | − | 1.66364i | ||||
\(577\) | −2.92884 | + | 2.92884i | −0.121929 | + | 0.121929i | −0.765438 | − | 0.643509i | \(-0.777478\pi\) |
0.643509 | + | 0.765438i | \(0.277478\pi\) | |||||||
\(578\) | 0.791607 | + | 3.54971i | 0.0329265 | + | 0.147649i | ||||
\(579\) | 11.9714 | + | 11.9714i | 0.497515 | + | 0.497515i | ||||
\(580\) | −20.9814 | + | 12.2220i | −0.871206 | + | 0.507489i | ||||
\(581\) | −6.64011 | + | 6.64011i | −0.275478 | + | 0.275478i | ||||
\(582\) | 15.1799 | − | 23.8935i | 0.629227 | − | 0.990416i | ||||
\(583\) | −1.35891 | − | 1.35891i | −0.0562801 | − | 0.0562801i | ||||
\(584\) | −1.29360 | + | 10.1188i | −0.0535295 | + | 0.418718i | ||||
\(585\) | 33.4555 | − | 39.9814i | 1.38321 | − | 1.65303i | ||||
\(586\) | 43.7186 | − | 9.74951i | 1.80600 | − | 0.402748i | ||||
\(587\) | 23.1574 | 0.955809 | 0.477905 | − | 0.878412i | \(-0.341396\pi\) | ||||
0.477905 | + | 0.878412i | \(0.341396\pi\) | |||||||
\(588\) | 15.9664 | + | 34.0178i | 0.658442 | + | 1.40287i | ||||
\(589\) | 0.566106 | − | 0.566106i | 0.0233260 | − | 0.0233260i | ||||
\(590\) | 15.4493 | − | 4.91558i | 0.636036 | − | 0.202371i | ||||
\(591\) | 11.5150i | 0.473662i | ||||||||
\(592\) | −17.9798 | − | 14.9343i | −0.738964 | − | 0.613798i | ||||
\(593\) | −13.9325 | − | 13.9325i | −0.572141 | − | 0.572141i | 0.360585 | − | 0.932726i | \(-0.382577\pi\) |
−0.932726 | + | 0.360585i | \(0.882577\pi\) | |||||||
\(594\) | 5.12398 | + | 3.25534i | 0.210240 | + | 0.133568i | ||||
\(595\) | −4.11990 | + | 4.92354i | −0.168900 | + | 0.201846i | ||||
\(596\) | −11.2146 | − | 4.05008i | −0.459368 | − | 0.165898i | ||||
\(597\) | 15.5097i | 0.634769i | ||||||||
\(598\) | −8.75988 | + | 13.7882i | −0.358218 | + | 0.563843i | ||||
\(599\) | − | 33.5311i | − | 1.37004i | −0.728523 | − | 0.685021i | \(-0.759793\pi\) | ||
0.728523 | − | 0.685021i | \(-0.240207\pi\) | |||||||
\(600\) | −29.9548 | − | 27.0936i | −1.22290 | − | 1.10609i | ||||
\(601\) | − | 19.4164i | − | 0.792011i | −0.918248 | − | 0.396005i | \(-0.870396\pi\) | ||
0.918248 | − | 0.396005i | \(-0.129604\pi\) | |||||||
\(602\) | −5.80948 | − | 3.69085i | −0.236777 | − | 0.150428i | ||||
\(603\) | − | 17.1554i | − | 0.698623i | ||||||
\(604\) | 22.5256 | − | 10.5725i | 0.916554 | − | 0.430187i | ||||
\(605\) | −15.0879 | + | 18.0310i | −0.613409 | + | 0.733063i | ||||
\(606\) | 5.65243 | − | 8.89705i | 0.229614 | − | 0.361418i | ||||
\(607\) | 9.51495 | + | 9.51495i | 0.386200 | + | 0.386200i | 0.873330 | − | 0.487130i | \(-0.161956\pi\) |
−0.487130 | + | 0.873330i | \(0.661956\pi\) | |||||||
\(608\) | 30.8015 | − | 9.92363i | 1.24917 | − | 0.402456i | ||||
\(609\) | 10.0635i | 0.407794i | ||||||||
\(610\) | 5.05471 | + | 15.8865i | 0.204659 | + | 0.643227i | ||||
\(611\) | −18.7206 | + | 18.7206i | −0.757355 | + | 0.757355i | ||||
\(612\) | −15.4982 | + | 42.9143i | −0.626478 | + | 1.73471i | ||||
\(613\) | −9.37947 | −0.378833 | −0.189417 | − | 0.981897i | \(-0.560660\pi\) | ||||
−0.189417 | + | 0.981897i | \(0.560660\pi\) | |||||||
\(614\) | −8.42177 | − | 37.7648i | −0.339875 | − | 1.52406i | ||||
\(615\) | 18.6738 | − | 22.3164i | 0.753002 | − | 0.899884i | ||||
\(616\) | −1.01190 | + | 0.782503i | −0.0407707 | + | 0.0315280i | ||||
\(617\) | 3.54768 | + | 3.54768i | 0.142824 | + | 0.142824i | 0.774904 | − | 0.632079i | \(-0.217798\pi\) |
−0.632079 | + | 0.774904i | \(0.717798\pi\) | |||||||
\(618\) | 56.2428 | + | 35.7319i | 2.26242 | + | 1.43735i | ||||
\(619\) | −24.6158 | + | 24.6158i | −0.989392 | + | 0.989392i | −0.999944 | − | 0.0105527i | \(-0.996641\pi\) |
0.0105527 | + | 0.999944i | \(0.496641\pi\) | |||||||
\(620\) | 0.159651 | − | 0.605168i | 0.00641172 | − | 0.0243041i | ||||
\(621\) | −11.1282 | − | 11.1282i | −0.446561 | − | 0.446561i | ||||
\(622\) | 21.8194 | − | 4.86585i | 0.874877 | − | 0.195103i | ||||
\(623\) | −1.53735 | + | 1.53735i | −0.0615926 | + | 0.0615926i | ||||
\(624\) | 39.7309 | + | 33.0013i | 1.59051 | + | 1.32111i | ||||
\(625\) | −23.4453 | + | 8.67867i | −0.937811 | + | 0.347147i | ||||
\(626\) | −14.8420 | + | 23.3617i | −0.593206 | + | 0.933720i | ||||
\(627\) | 11.3856i | 0.454695i | ||||||||
\(628\) | 13.5878 | − | 6.37747i | 0.542211 | − | 0.254489i | ||||
\(629\) | 18.2792 | + | 18.2792i | 0.728840 | + | 0.728840i | ||||
\(630\) | −10.0848 | + | 3.20873i | −0.401787 | + | 0.127839i | ||||
\(631\) | −28.8921 | −1.15018 | −0.575088 | − | 0.818092i | \(-0.695032\pi\) | ||||
−0.575088 | + | 0.818092i | \(0.695032\pi\) | |||||||
\(632\) | −8.64618 | + | 6.68608i | −0.343927 | + | 0.265958i | ||||
\(633\) | 9.22547 | − | 9.22547i | 0.366679 | − | 0.366679i | ||||
\(634\) | 48.3235 | − | 10.7764i | 1.91917 | − | 0.427986i | ||||
\(635\) | −0.172367 | − | 1.93966i | −0.00684016 | − | 0.0769729i | ||||
\(636\) | 14.2596 | − | 6.69281i | 0.565432 | − | 0.265387i | ||||
\(637\) | −29.7435 | −1.17848 | ||||||||
\(638\) | 5.22265 | − | 1.16468i | 0.206767 | − | 0.0461102i | ||||
\(639\) | 7.06765 | 0.279592 | ||||||||
\(640\) | 16.9018 | − | 18.8237i | 0.668101 | − | 0.744070i | ||||
\(641\) | −16.6914 | −0.659271 | −0.329636 | − | 0.944108i | \(-0.606926\pi\) | ||||
−0.329636 | + | 0.944108i | \(0.606926\pi\) | |||||||
\(642\) | 60.3570 | − | 13.4600i | 2.38210 | − | 0.531223i | ||||
\(643\) | −5.22468 | −0.206041 | −0.103021 | − | 0.994679i | \(-0.532851\pi\) | ||||
−0.103021 | + | 0.994679i | \(0.532851\pi\) | |||||||
\(644\) | 3.00194 | − | 1.40897i | 0.118293 | − | 0.0555212i | ||||
\(645\) | −30.7343 | + | 36.7295i | −1.21016 | + | 1.44622i | ||||
\(646\) | −34.9327 | + | 7.79019i | −1.37441 | + | 0.306501i | ||||
\(647\) | 21.6797 | − | 21.6797i | 0.852318 | − | 0.852318i | −0.138100 | − | 0.990418i | \(-0.544100\pi\) |
0.990418 | + | 0.138100i | \(0.0440996\pi\) | |||||||
\(648\) | −4.74801 | + | 3.67163i | −0.186519 | + | 0.144235i | ||||
\(649\) | −3.57273 | −0.140242 | ||||||||
\(650\) | 29.4865 | − | 12.3514i | 1.15656 | − | 0.484463i | ||||
\(651\) | −0.183418 | − | 0.183418i | −0.00718874 | − | 0.00718874i | ||||
\(652\) | −42.9603 | + | 20.1636i | −1.68245 | + | 0.789666i | ||||
\(653\) | 22.7642i | 0.890833i | 0.895323 | + | 0.445417i | \(0.146944\pi\) | ||||
−0.895323 | + | 0.445417i | \(0.853056\pi\) | |||||||
\(654\) | 38.2261 | − | 60.1688i | 1.49476 | − | 2.35279i | ||||
\(655\) | −30.0942 | + | 2.67431i | −1.17588 | + | 0.104494i | ||||
\(656\) | 14.0202 | + | 11.6455i | 0.547398 | + | 0.454679i | ||||
\(657\) | 13.1513 | − | 13.1513i | 0.513079 | − | 0.513079i | ||||
\(658\) | 5.24560 | − | 1.16980i | 0.204495 | − | 0.0456036i | ||||
\(659\) | 1.66201 | + | 1.66201i | 0.0647427 | + | 0.0647427i | 0.738737 | − | 0.673994i | \(-0.235423\pi\) |
−0.673994 | + | 0.738737i | \(0.735423\pi\) | |||||||
\(660\) | 4.48013 | + | 7.69104i | 0.174389 | + | 0.299373i | ||||
\(661\) | −5.62818 | + | 5.62818i | −0.218911 | + | 0.218911i | −0.808039 | − | 0.589129i | \(-0.799471\pi\) |
0.589129 | + | 0.808039i | \(0.299471\pi\) | |||||||
\(662\) | −28.3963 | − | 18.0406i | −1.10365 | − | 0.701168i | ||||
\(663\) | −40.3926 | − | 40.3926i | −1.56872 | − | 1.56872i | ||||
\(664\) | −32.3758 | + | 25.0362i | −1.25642 | + | 0.971591i | ||||
\(665\) | −6.36657 | − | 5.32739i | −0.246885 | − | 0.206587i | ||||
\(666\) | 9.27532 | + | 41.5923i | 0.359411 | + | 1.61167i | ||||
\(667\) | −13.8720 | −0.537125 | ||||||||
\(668\) | −0.387153 | + | 1.07202i | −0.0149794 | + | 0.0414777i | ||||
\(669\) | 23.3427 | − | 23.3427i | 0.902481 | − | 0.902481i | ||||
\(670\) | 4.83326 | − | 9.34418i | 0.186725 | − | 0.360997i | ||||
\(671\) | − | 3.67386i | − | 0.141828i | ||||||
\(672\) | −3.21526 | − | 9.97969i | −0.124031 | − | 0.384975i | ||||
\(673\) | 0.278251 | + | 0.278251i | 0.0107258 | + | 0.0107258i | 0.712449 | − | 0.701724i | \(-0.247586\pi\) |
−0.701724 | + | 0.712449i | \(0.747586\pi\) | |||||||
\(674\) | −15.5494 | + | 24.4751i | −0.598940 | + | 0.942744i | ||||
\(675\) | 5.43097 | + | 30.3163i | 0.209038 | + | 1.16687i | ||||
\(676\) | −13.4706 | + | 6.32248i | −0.518101 | + | 0.243172i | ||||
\(677\) | − | 26.3591i | − | 1.01306i | −0.862222 | − | 0.506531i | \(-0.830928\pi\) | ||
0.862222 | − | 0.506531i | \(-0.169072\pi\) | |||||||
\(678\) | −12.2247 | − | 7.76655i | −0.469488 | − | 0.298273i | ||||
\(679\) | − | 4.54840i | − | 0.174551i | ||||||
\(680\) | −20.5319 | + | 19.0081i | −0.787363 | + | 0.728927i | ||||
\(681\) | 4.40019i | 0.168616i | ||||||||
\(682\) | −0.0739609 | + | 0.116416i | −0.00283211 | + | 0.00445780i | ||||
\(683\) | − | 2.83023i | − | 0.108296i | −0.998533 | − | 0.0541479i | \(-0.982756\pi\) | ||
0.998533 | − | 0.0541479i | \(-0.0172442\pi\) | |||||||
\(684\) | −55.4919 | − | 20.0405i | −2.12179 | − | 0.766269i | ||||
\(685\) | −1.03645 | − | 11.6632i | −0.0396006 | − | 0.445629i | ||||
\(686\) | 10.5191 | + | 6.68296i | 0.401622 | + | 0.255157i | ||||
\(687\) | 50.1646 | + | 50.1646i | 1.91390 | + | 1.91390i | ||||
\(688\) | −23.0752 | − | 19.1667i | −0.879734 | − | 0.730724i | ||||
\(689\) | 12.4679i | 0.474991i | ||||||||
\(690\) | −6.99620 | − | 21.9885i | −0.266341 | − | 0.837087i | ||||
\(691\) | 22.1815 | − | 22.1815i | 0.843825 | − | 0.843825i | −0.145529 | − | 0.989354i | \(-0.546488\pi\) |
0.989354 | + | 0.145529i | \(0.0464884\pi\) | |||||||
\(692\) | −13.1288 | − | 27.9721i | −0.499083 | − | 1.06334i | ||||
\(693\) | 2.33217 | 0.0885917 | ||||||||
\(694\) | 23.1484 | − | 5.16223i | 0.878702 | − | 0.195956i | ||||
\(695\) | 17.2222 | − | 1.53044i | 0.653276 | − | 0.0580531i | ||||
\(696\) | −5.56183 | + | 43.5057i | −0.210821 | + | 1.64908i | ||||
\(697\) | −14.2537 | − | 14.2537i | −0.539898 | − | 0.539898i | ||||
\(698\) | 1.99845 | − | 3.14560i | 0.0756423 | − | 0.119063i | ||||
\(699\) | −28.5320 | + | 28.5320i | −1.07918 | + | 1.07918i | ||||
\(700\) | −6.39696 | − | 1.09350i | −0.241782 | − | 0.0413303i | ||||
\(701\) | 16.2264 | + | 16.2264i | 0.612864 | + | 0.612864i | 0.943691 | − | 0.330828i | \(-0.107328\pi\) |
−0.330828 | + | 0.943691i | \(0.607328\pi\) | |||||||
\(702\) | −8.57237 | − | 38.4401i | −0.323543 | − | 1.45083i | ||||
\(703\) | −23.6366 | + | 23.6366i | −0.891472 | + | 0.891472i | ||||
\(704\) | −4.80704 | + | 2.82360i | −0.181172 | + | 0.106418i | ||||
\(705\) | −3.31022 | − | 37.2502i | −0.124670 | − | 1.40292i | ||||
\(706\) | −40.7449 | − | 25.8858i | −1.53345 | − | 0.974226i | ||||
\(707\) | − | 1.69365i | − | 0.0636965i | ||||||
\(708\) | 9.94708 | − | 27.5433i | 0.373834 | − | 1.03514i | ||||
\(709\) | −25.3577 | − | 25.3577i | −0.952329 | − | 0.952329i | 0.0465856 | − | 0.998914i | \(-0.485166\pi\) |
−0.998914 | + | 0.0465856i | \(0.985166\pi\) | |||||||
\(710\) | 3.84959 | + | 1.99120i | 0.144473 | + | 0.0747282i | ||||
\(711\) | 19.9271 | 0.747326 | ||||||||
\(712\) | −7.49579 | + | 5.79648i | −0.280916 | + | 0.217232i | ||||
\(713\) | 0.252832 | − | 0.252832i | 0.00946863 | − | 0.00946863i | ||||
\(714\) | 2.52402 | + | 11.3182i | 0.0944592 | + | 0.423573i | ||||
\(715\) | −7.01735 | + | 0.623594i | −0.262434 | + | 0.0233211i | ||||
\(716\) | −13.8452 | − | 5.00009i | −0.517418 | − | 0.186862i | ||||
\(717\) | −75.0450 | −2.80261 | ||||||||
\(718\) | 3.77076 | + | 16.9088i | 0.140724 | + | 0.631031i | ||||
\(719\) | −41.3374 | −1.54163 | −0.770813 | − | 0.637061i | \(-0.780150\pi\) | ||||
−0.770813 | + | 0.637061i | \(0.780150\pi\) | |||||||
\(720\) | −45.3710 | + | 8.29813i | −1.69088 | + | 0.309253i | ||||
\(721\) | 10.7065 | 0.398730 | ||||||||
\(722\) | −4.22489 | − | 18.9452i | −0.157234 | − | 0.705067i | ||||
\(723\) | −0.323420 | −0.0120281 | ||||||||
\(724\) | −8.73236 | + | 24.1798i | −0.324536 | + | 0.898635i | ||||
\(725\) | 22.2805 | + | 15.5105i | 0.827477 | + | 0.576045i | ||||
\(726\) | 9.24346 | + | 41.4494i | 0.343057 | + | 1.53833i | ||||
\(727\) | −23.4630 | + | 23.4630i | −0.870193 | + | 0.870193i | −0.992493 | − | 0.122300i | \(-0.960973\pi\) |
0.122300 | + | 0.992493i | \(0.460973\pi\) | |||||||
\(728\) | 8.23182 | + | 1.05237i | 0.305092 | + | 0.0390033i | ||||
\(729\) | −41.8342 | −1.54942 | ||||||||
\(730\) | 10.8683 | − | 3.45804i | 0.402256 | − | 0.127988i | ||||
\(731\) | 23.4595 | + | 23.4595i | 0.867681 | + | 0.867681i | ||||
\(732\) | 28.3229 | + | 10.2286i | 1.04684 | + | 0.378061i | ||||
\(733\) | − | 15.1628i | − | 0.560051i | −0.959993 | − | 0.280025i | \(-0.909657\pi\) | ||
0.959993 | − | 0.280025i | \(-0.0903429\pi\) | |||||||
\(734\) | 4.58000 | + | 2.90975i | 0.169051 | + | 0.107401i | ||||
\(735\) | 26.9621 | − | 32.2214i | 0.994511 | − | 1.18850i | ||||
\(736\) | 13.7564 | − | 4.43205i | 0.507069 | − | 0.163368i | ||||
\(737\) | −1.63931 | + | 1.63931i | −0.0603848 | + | 0.0603848i | ||||
\(738\) | −7.23269 | − | 32.4327i | −0.266239 | − | 1.19387i | ||||
\(739\) | 0.974343 | + | 0.974343i | 0.0358418 | + | 0.0358418i | 0.724801 | − | 0.688959i | \(-0.241932\pi\) |
−0.688959 | + | 0.724801i | \(0.741932\pi\) | |||||||
\(740\) | −6.66589 | + | 25.2676i | −0.245043 | + | 0.928854i | ||||
\(741\) | 52.2312 | − | 52.2312i | 1.91876 | − | 1.91876i | ||||
\(742\) | 1.35724 | − | 2.13633i | 0.0498260 | − | 0.0784272i | ||||
\(743\) | 29.0897 | + | 29.0897i | 1.06720 | + | 1.06720i | 0.997573 | + | 0.0696259i | \(0.0221806\pi\) |
0.0696259 | + | 0.997573i | \(0.477819\pi\) | |||||||
\(744\) | −0.691569 | − | 0.894310i | −0.0253541 | − | 0.0327870i | ||||
\(745\) | 1.18000 | + | 13.2786i | 0.0432317 | + | 0.486490i | ||||
\(746\) | −22.7538 | + | 5.07424i | −0.833078 | + | 0.185781i | ||||
\(747\) | 74.6176 | 2.73011 | ||||||||
\(748\) | 5.58168 | − | 2.61978i | 0.204087 | − | 0.0957887i | ||||
\(749\) | 7.02596 | − | 7.02596i | 0.256723 | − | 0.256723i | ||||
\(750\) | −13.3487 | + | 43.1394i | −0.487426 | + | 1.57523i | ||||
\(751\) | − | 7.77705i | − | 0.283789i | −0.989882 | − | 0.141894i | \(-0.954681\pi\) | ||
0.989882 | − | 0.141894i | \(-0.0453193\pi\) | |||||||
\(752\) | 23.3239 | − | 2.15808i | 0.850534 | − | 0.0786970i | ||||
\(753\) | 54.8981 | + | 54.8981i | 2.00060 | + | 2.00060i | ||||
\(754\) | −29.3019 | − | 18.6159i | −1.06711 | − | 0.677952i | ||||
\(755\) | −21.3361 | − | 17.8535i | −0.776498 | − | 0.649755i | ||||
\(756\) | −2.71570 | + | 7.51973i | −0.0987690 | + | 0.273490i | ||||
\(757\) | − | 1.42073i | − | 0.0516372i | −0.999667 | − | 0.0258186i | \(-0.991781\pi\) | ||
0.999667 | − | 0.0258186i | \(-0.00821923\pi\) | |||||||
\(758\) | −14.7699 | + | 23.2482i | −0.536469 | + | 0.844413i | ||||
\(759\) | 5.08497i | 0.184573i | ||||||||
\(760\) | −24.5791 | − | 26.5496i | −0.891579 | − | 0.963054i | ||||
\(761\) | − | 26.6737i | − | 0.966921i | −0.875366 | − | 0.483460i | \(-0.839380\pi\) | ||
0.875366 | − | 0.483460i | \(-0.160620\pi\) | |||||||
\(762\) | −2.96891 | − | 1.88619i | −0.107552 | − | 0.0683295i | ||||
\(763\) | − | 11.4538i | − | 0.414656i | ||||||
\(764\) | 12.8378 | + | 27.3521i | 0.464456 | + | 0.989565i | ||||
\(765\) | 50.8124 | − | 4.51542i | 1.83713 | − | 0.163255i | ||||
\(766\) | 12.3905 | − | 19.5029i | 0.447687 | − | 0.704669i | ||||
\(767\) | 16.3899 | + | 16.3899i | 0.591805 | + | 0.591805i | ||||
\(768\) | −8.38443 | − | 44.9203i | −0.302547 | − | 1.62092i | ||||
\(769\) | − | 45.8210i |