Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,3,Mod(5,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.d (of order \(22\), degree \(10\), 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: | \(0.626704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 23.17 |
Dual form | 23.3.d.a.19.2 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.282292 | + | 0.618133i | −0.141146 | + | 0.309067i | −0.966982 | − | 0.254843i | \(-0.917976\pi\) |
0.825836 | + | 0.563910i | \(0.190703\pi\) | |||||||
\(3\) | 0.844537 | + | 0.247978i | 0.281512 | + | 0.0826594i | 0.419441 | − | 0.907783i | \(-0.362226\pi\) |
−0.137928 | + | 0.990442i | \(0.544044\pi\) | |||||||
\(4\) | 2.31704 | + | 2.67401i | 0.579261 | + | 0.668502i | ||||
\(5\) | −3.24760 | − | 5.05336i | −0.649520 | − | 1.01067i | −0.997324 | − | 0.0731054i | \(-0.976709\pi\) |
0.347804 | − | 0.937567i | \(-0.386927\pi\) | |||||||
\(6\) | −0.391690 | + | 0.452034i | −0.0652816 | + | 0.0753390i | ||||
\(7\) | −3.20136 | − | 0.460286i | −0.457337 | − | 0.0657551i | −0.0902032 | − | 0.995923i | \(-0.528752\pi\) |
−0.367133 | + | 0.930168i | \(0.619661\pi\) | |||||||
\(8\) | −4.91504 | + | 1.44319i | −0.614380 | + | 0.180398i | ||||
\(9\) | −6.91953 | − | 4.44691i | −0.768837 | − | 0.494102i | ||||
\(10\) | 4.04042 | − | 0.580925i | 0.404042 | − | 0.0580925i | ||||
\(11\) | 10.2164 | − | 4.66569i | 0.928766 | − | 0.424153i | 0.107181 | − | 0.994239i | \(-0.465817\pi\) |
0.821585 | + | 0.570086i | \(0.193090\pi\) | |||||||
\(12\) | 1.29373 | + | 2.83288i | 0.107811 | + | 0.236073i | ||||
\(13\) | 2.01084 | + | 13.9857i | 0.154680 | + | 1.07582i | 0.908242 | + | 0.418445i | \(0.137425\pi\) |
−0.753562 | + | 0.657377i | \(0.771666\pi\) | |||||||
\(14\) | 1.18824 | − | 1.84893i | 0.0848740 | − | 0.132066i | ||||
\(15\) | −1.48959 | − | 5.07308i | −0.0993061 | − | 0.338206i | ||||
\(16\) | −1.51877 | + | 10.5633i | −0.0949232 | + | 0.660205i | ||||
\(17\) | 9.44556 | + | 8.18463i | 0.555621 | + | 0.481449i | 0.886822 | − | 0.462112i | \(-0.152908\pi\) |
−0.331200 | + | 0.943560i | \(0.607454\pi\) | |||||||
\(18\) | 4.70212 | − | 3.02187i | 0.261229 | − | 0.167881i | ||||
\(19\) | 5.84675 | − | 5.06623i | 0.307723 | − | 0.266644i | −0.487284 | − | 0.873244i | \(-0.662012\pi\) |
0.795007 | + | 0.606600i | \(0.207467\pi\) | |||||||
\(20\) | 5.98792 | − | 20.3930i | 0.299396 | − | 1.01965i | ||||
\(21\) | −2.58952 | − | 1.18259i | −0.123311 | − | 0.0563140i | ||||
\(22\) | 7.63220i | 0.346918i | ||||||||
\(23\) | −22.9998 | − | 0.0832022i | −0.999993 | − | 0.00361749i | ||||
\(24\) | −4.50881 | −0.187867 | ||||||||
\(25\) | −4.60420 | + | 10.0818i | −0.184168 | + | 0.403272i | ||||
\(26\) | −9.21266 | − | 2.70508i | −0.354333 | − | 0.104042i | ||||
\(27\) | −9.92868 | − | 11.4583i | −0.367729 | − | 0.424382i | ||||
\(28\) | −6.18687 | − | 9.62696i | −0.220960 | − | 0.343820i | ||||
\(29\) | −20.6546 | + | 23.8367i | −0.712229 | + | 0.821956i | −0.990350 | − | 0.138590i | \(-0.955743\pi\) |
0.278121 | + | 0.960546i | \(0.410288\pi\) | |||||||
\(30\) | 3.55634 | + | 0.511325i | 0.118545 | + | 0.0170442i | ||||
\(31\) | 58.8820 | − | 17.2893i | 1.89942 | − | 0.557719i | 0.909578 | − | 0.415534i | \(-0.136405\pi\) |
0.989840 | − | 0.142186i | \(-0.0454130\pi\) | |||||||
\(32\) | −23.3382 | − | 14.9986i | −0.729319 | − | 0.468705i | ||||
\(33\) | 9.78514 | − | 1.40689i | 0.296519 | − | 0.0426330i | ||||
\(34\) | −7.72560 | + | 3.52816i | −0.227223 | + | 0.103769i | ||||
\(35\) | 8.07073 | + | 17.6724i | 0.230592 | + | 0.504927i | ||||
\(36\) | −4.14176 | − | 28.8066i | −0.115049 | − | 0.800183i | ||||
\(37\) | −26.1385 | + | 40.6723i | −0.706446 | + | 1.09925i | 0.283660 | + | 0.958925i | \(0.408451\pi\) |
−0.990105 | + | 0.140326i | \(0.955185\pi\) | |||||||
\(38\) | 1.48112 | + | 5.04423i | 0.0389768 | + | 0.132743i | ||||
\(39\) | −1.76992 | + | 12.3101i | −0.0453826 | + | 0.315643i | ||||
\(40\) | 23.2550 | + | 20.1506i | 0.581376 | + | 0.503765i | ||||
\(41\) | 38.1340 | − | 24.5073i | 0.930098 | − | 0.597738i | 0.0145274 | − | 0.999894i | \(-0.495376\pi\) |
0.915571 | + | 0.402157i | \(0.131739\pi\) | |||||||
\(42\) | 1.46200 | − | 1.26683i | 0.0348096 | − | 0.0301627i | ||||
\(43\) | 16.7324 | − | 56.9854i | 0.389126 | − | 1.32524i | −0.499382 | − | 0.866382i | \(-0.666440\pi\) |
0.888508 | − | 0.458860i | \(-0.151742\pi\) | |||||||
\(44\) | 36.1480 | + | 16.5082i | 0.821545 | + | 0.375187i | ||||
\(45\) | 49.4087i | 1.09797i | ||||||||
\(46\) | 6.54411 | − | 14.1935i | 0.142263 | − | 0.308554i | ||||
\(47\) | 3.02235 | 0.0643053 | 0.0321526 | − | 0.999483i | \(-0.489764\pi\) | ||||
0.0321526 | + | 0.999483i | \(0.489764\pi\) | |||||||
\(48\) | −3.90212 | + | 8.54445i | −0.0812942 | + | 0.178009i | ||||
\(49\) | −36.9783 | − | 10.8578i | −0.754660 | − | 0.221588i | ||||
\(50\) | −4.93216 | − | 5.69202i | −0.0986432 | − | 0.113840i | ||||
\(51\) | 5.94751 | + | 9.25451i | 0.116618 | + | 0.181461i | ||||
\(52\) | −32.7387 | + | 37.7824i | −0.629590 | + | 0.726585i | ||||
\(53\) | −41.9463 | − | 6.03096i | −0.791439 | − | 0.113792i | −0.265273 | − | 0.964173i | \(-0.585462\pi\) |
−0.526166 | + | 0.850382i | \(0.676371\pi\) | |||||||
\(54\) | 9.88555 | − | 2.90266i | 0.183066 | − | 0.0537530i | ||||
\(55\) | −56.7563 | − | 36.4750i | −1.03193 | − | 0.663182i | ||||
\(56\) | 16.3991 | − | 2.35783i | 0.292841 | − | 0.0421041i | ||||
\(57\) | 6.19411 | − | 2.82875i | 0.108669 | − | 0.0496273i | ||||
\(58\) | −8.90363 | − | 19.4962i | −0.153511 | − | 0.336142i | ||||
\(59\) | 4.28281 | + | 29.7876i | 0.0725900 | + | 0.504875i | 0.993385 | + | 0.114829i | \(0.0366319\pi\) |
−0.920795 | + | 0.390046i | \(0.872459\pi\) | |||||||
\(60\) | 10.1140 | − | 15.7377i | 0.168567 | − | 0.262296i | ||||
\(61\) | −26.7949 | − | 91.2550i | −0.439261 | − | 1.49598i | −0.820575 | − | 0.571539i | \(-0.806347\pi\) |
0.381314 | − | 0.924445i | \(-0.375472\pi\) | |||||||
\(62\) | −5.93481 | + | 41.2775i | −0.0957228 | + | 0.665767i | ||||
\(63\) | 20.1050 | + | 17.4211i | 0.319128 | + | 0.276526i | ||||
\(64\) | −20.0518 | + | 12.8865i | −0.313310 | + | 0.201352i | ||||
\(65\) | 64.1443 | − | 55.5814i | 0.986836 | − | 0.855098i | ||||
\(66\) | −1.89262 | + | 6.44567i | −0.0286761 | + | 0.0976617i | ||||
\(67\) | −30.1105 | − | 13.7510i | −0.449410 | − | 0.205239i | 0.177835 | − | 0.984060i | \(-0.443091\pi\) |
−0.627246 | + | 0.778821i | \(0.715818\pi\) | |||||||
\(68\) | 44.2217i | 0.650319i | ||||||||
\(69\) | −19.4036 | − | 5.77373i | −0.281211 | − | 0.0836773i | ||||
\(70\) | −13.2022 | −0.188603 | ||||||||
\(71\) | −10.9275 | + | 23.9279i | −0.153909 | + | 0.337013i | −0.970842 | − | 0.239718i | \(-0.922945\pi\) |
0.816934 | + | 0.576732i | \(0.195672\pi\) | |||||||
\(72\) | 40.4275 | + | 11.8706i | 0.561493 | + | 0.164869i | ||||
\(73\) | 53.2081 | + | 61.4055i | 0.728879 | + | 0.841171i | 0.992345 | − | 0.123498i | \(-0.0394112\pi\) |
−0.263466 | + | 0.964669i | \(0.584866\pi\) | |||||||
\(74\) | −17.7622 | − | 27.6385i | −0.240030 | − | 0.373494i | ||||
\(75\) | −6.38848 | + | 7.37270i | −0.0851797 | + | 0.0983026i | ||||
\(76\) | 27.0943 | + | 3.89557i | 0.356504 | + | 0.0512576i | ||||
\(77\) | −34.8540 | + | 10.2341i | −0.452649 | + | 0.132910i | ||||
\(78\) | −7.10963 | − | 4.56908i | −0.0911491 | − | 0.0585780i | ||||
\(79\) | 86.0607 | − | 12.3737i | 1.08938 | − | 0.156629i | 0.425859 | − | 0.904790i | \(-0.359972\pi\) |
0.663517 | + | 0.748161i | \(0.269063\pi\) | |||||||
\(80\) | 58.3124 | − | 26.6304i | 0.728906 | − | 0.332880i | ||||
\(81\) | 25.2084 | + | 55.1986i | 0.311214 | + | 0.681464i | ||||
\(82\) | 4.38382 | + | 30.4901i | 0.0534612 | + | 0.371831i | ||||
\(83\) | −0.815582 | + | 1.26907i | −0.00982628 | + | 0.0152900i | −0.846132 | − | 0.532973i | \(-0.821075\pi\) |
0.836306 | + | 0.548263i | \(0.184711\pi\) | |||||||
\(84\) | −2.83776 | − | 9.66453i | −0.0337829 | − | 0.115054i | ||||
\(85\) | 10.6845 | − | 74.3122i | 0.125700 | − | 0.874262i | ||||
\(86\) | 30.5012 | + | 26.4294i | 0.354665 | + | 0.307319i | ||||
\(87\) | −23.3546 | + | 15.0091i | −0.268443 | + | 0.172518i | ||||
\(88\) | −43.4807 | + | 37.6763i | −0.494099 | + | 0.428139i | ||||
\(89\) | −11.3052 | + | 38.5019i | −0.127025 | + | 0.432606i | −0.998306 | − | 0.0581774i | \(-0.981471\pi\) |
0.871282 | + | 0.490783i | \(0.163289\pi\) | |||||||
\(90\) | −30.5412 | − | 13.9477i | −0.339346 | − | 0.154974i | ||||
\(91\) | − | 45.6987i | − | 0.502184i | ||||||
\(92\) | −53.0692 | − | 61.6946i | −0.576839 | − | 0.670594i | ||||
\(93\) | 54.0153 | 0.580810 | ||||||||
\(94\) | −0.853185 | + | 1.86821i | −0.00907644 | + | 0.0198746i | ||||
\(95\) | −44.5894 | − | 13.0926i | −0.469362 | − | 0.137817i | ||||
\(96\) | −15.9906 | − | 18.4542i | −0.166569 | − | 0.192231i | ||||
\(97\) | −15.4923 | − | 24.1065i | −0.159714 | − | 0.248520i | 0.752169 | − | 0.658971i | \(-0.229008\pi\) |
−0.911883 | + | 0.410450i | \(0.865371\pi\) | |||||||
\(98\) | 17.1503 | − | 19.7925i | 0.175003 | − | 0.201964i | ||||
\(99\) | −91.4408 | − | 13.1472i | −0.923645 | − | 0.132800i | ||||
\(100\) | −37.6269 | + | 11.0483i | −0.376269 | + | 0.110483i | ||||
\(101\) | 16.0807 | + | 10.3344i | 0.159214 | + | 0.102321i | 0.617822 | − | 0.786318i | \(-0.288015\pi\) |
−0.458608 | + | 0.888639i | \(0.651652\pi\) | |||||||
\(102\) | −7.39946 | + | 1.06388i | −0.0725437 | + | 0.0104302i | ||||
\(103\) | −65.6925 | + | 30.0007i | −0.637791 | + | 0.291269i | −0.707946 | − | 0.706267i | \(-0.750378\pi\) |
0.0701549 | + | 0.997536i | \(0.477651\pi\) | |||||||
\(104\) | −30.0673 | − | 65.8382i | −0.289109 | − | 0.633060i | ||||
\(105\) | 2.43365 | + | 16.9264i | 0.0231776 | + | 0.161204i | ||||
\(106\) | 15.5690 | − | 24.2259i | 0.146878 | − | 0.228546i | ||||
\(107\) | 41.4606 | + | 141.202i | 0.387482 | + | 1.31964i | 0.890349 | + | 0.455278i | \(0.150460\pi\) |
−0.502867 | + | 0.864364i | \(0.667722\pi\) | |||||||
\(108\) | 7.63445 | − | 53.0988i | 0.0706894 | − | 0.491655i | ||||
\(109\) | −38.0406 | − | 32.9623i | −0.348996 | − | 0.302407i | 0.462668 | − | 0.886532i | \(-0.346892\pi\) |
−0.811664 | + | 0.584125i | \(0.801438\pi\) | |||||||
\(110\) | 38.5683 | − | 24.7863i | 0.350621 | − | 0.225330i | ||||
\(111\) | −32.1608 | + | 27.8675i | −0.289737 | + | 0.251058i | ||||
\(112\) | 9.72425 | − | 33.1178i | 0.0868237 | − | 0.295694i | ||||
\(113\) | 105.316 | + | 48.0963i | 0.932001 | + | 0.425631i | 0.822763 | − | 0.568385i | \(-0.192432\pi\) |
0.109238 | + | 0.994016i | \(0.465159\pi\) | |||||||
\(114\) | 4.62732i | 0.0405905i | ||||||||
\(115\) | 74.2738 | + | 116.497i | 0.645859 | + | 1.01302i | ||||
\(116\) | −111.597 | −0.962046 | ||||||||
\(117\) | 48.2791 | − | 105.716i | 0.412642 | − | 0.903559i | ||||
\(118\) | −19.6217 | − | 5.76146i | −0.166286 | − | 0.0488259i | ||||
\(119\) | −26.4713 | − | 30.5496i | −0.222448 | − | 0.256719i | ||||
\(120\) | 14.6428 | + | 22.7847i | 0.122023 | + | 0.189872i | ||||
\(121\) | 3.36862 | − | 3.88759i | 0.0278398 | − | 0.0321289i | ||||
\(122\) | 63.9718 | + | 9.19775i | 0.524359 | + | 0.0753914i | ||||
\(123\) | 38.2828 | − | 11.2409i | 0.311243 | − | 0.0913891i | ||||
\(124\) | 182.664 | + | 117.391i | 1.47309 | + | 0.946701i | ||||
\(125\) | −82.7455 | + | 11.8970i | −0.661964 | + | 0.0951761i | ||||
\(126\) | −16.4441 | + | 7.50975i | −0.130508 | + | 0.0596012i | ||||
\(127\) | 16.6630 | + | 36.4869i | 0.131205 | + | 0.287298i | 0.963820 | − | 0.266553i | \(-0.0858848\pi\) |
−0.832615 | + | 0.553852i | \(0.813157\pi\) | |||||||
\(128\) | −18.0976 | − | 125.872i | −0.141388 | − | 0.983372i | ||||
\(129\) | 28.2623 | − | 43.9770i | 0.219088 | − | 0.340907i | ||||
\(130\) | 16.2493 | + | 55.3399i | 0.124994 | + | 0.425692i | ||||
\(131\) | −10.4402 | + | 72.6133i | −0.0796963 | + | 0.554300i | 0.910380 | + | 0.413772i | \(0.135789\pi\) |
−0.990077 | + | 0.140528i | \(0.955120\pi\) | |||||||
\(132\) | 26.4346 | + | 22.9057i | 0.200262 | + | 0.173528i | ||||
\(133\) | −21.0494 | + | 13.5276i | −0.158266 | + | 0.101712i | ||||
\(134\) | 16.9999 | − | 14.7305i | 0.126865 | − | 0.109929i | ||||
\(135\) | −25.6586 | + | 87.3852i | −0.190064 | + | 0.647298i | ||||
\(136\) | −58.2373 | − | 26.5961i | −0.428215 | − | 0.195559i | ||||
\(137\) | − | 264.626i | − | 1.93157i | −0.259335 | − | 0.965787i | \(-0.583503\pi\) | ||
0.259335 | − | 0.965787i | \(-0.416497\pi\) | |||||||
\(138\) | 9.04641 | − | 10.3641i | 0.0655537 | − | 0.0751023i | ||||
\(139\) | 41.1911 | 0.296339 | 0.148169 | − | 0.988962i | \(-0.452662\pi\) | ||||
0.148169 | + | 0.988962i | \(0.452662\pi\) | |||||||
\(140\) | −28.5560 | + | 62.5290i | −0.203972 | + | 0.446636i | ||||
\(141\) | 2.55248 | + | 0.749477i | 0.0181027 | + | 0.00531544i | ||||
\(142\) | −11.7059 | − | 13.5093i | −0.0824360 | − | 0.0951362i | ||||
\(143\) | 85.7964 | + | 133.502i | 0.599975 | + | 0.933579i | ||||
\(144\) | 57.4832 | − | 66.3391i | 0.399189 | − | 0.460688i | ||||
\(145\) | 187.534 | + | 26.9633i | 1.29333 | + | 0.185953i | ||||
\(146\) | −52.9770 | + | 15.5555i | −0.362856 | + | 0.106544i | ||||
\(147\) | −28.5371 | − | 18.3396i | −0.194130 | − | 0.124760i | ||||
\(148\) | −169.322 | + | 24.3448i | −1.14407 | + | 0.164492i | ||||
\(149\) | −164.873 | + | 75.2952i | −1.10653 | + | 0.505337i | −0.883006 | − | 0.469361i | \(-0.844484\pi\) |
−0.223527 | + | 0.974698i | \(0.571757\pi\) | |||||||
\(150\) | −2.75389 | − | 6.03019i | −0.0183593 | − | 0.0402012i | ||||
\(151\) | −3.40068 | − | 23.6523i | −0.0225211 | − | 0.156638i | 0.975458 | − | 0.220187i | \(-0.0706669\pi\) |
−0.997979 | + | 0.0635499i | \(0.979758\pi\) | |||||||
\(152\) | −21.4255 | + | 33.3387i | −0.140957 | + | 0.219334i | ||||
\(153\) | −28.9626 | − | 98.6374i | −0.189298 | − | 0.644689i | ||||
\(154\) | 3.51299 | − | 24.4334i | 0.0228116 | − | 0.158658i | ||||
\(155\) | −278.594 | − | 241.403i | −1.79738 | − | 1.55744i | ||||
\(156\) | −37.0182 | + | 23.7902i | −0.237296 | + | 0.152501i | ||||
\(157\) | −38.1039 | + | 33.0172i | −0.242700 | + | 0.210301i | −0.767714 | − | 0.640793i | \(-0.778606\pi\) |
0.525014 | + | 0.851094i | \(0.324060\pi\) | |||||||
\(158\) | −16.6457 | + | 56.6900i | −0.105352 | + | 0.358797i | ||||
\(159\) | −33.9296 | − | 15.4951i | −0.213394 | − | 0.0974537i | ||||
\(160\) | 166.646i | 1.04154i | ||||||||
\(161\) | 73.5924 | + | 10.8529i | 0.457096 | + | 0.0674091i | ||||
\(162\) | −41.2362 | −0.254545 | ||||||||
\(163\) | 12.1006 | − | 26.4966i | 0.0742368 | − | 0.162556i | −0.868875 | − | 0.495031i | \(-0.835157\pi\) |
0.943112 | + | 0.332475i | \(0.107884\pi\) | |||||||
\(164\) | 153.891 | + | 45.1864i | 0.938359 | + | 0.275527i | ||||
\(165\) | −38.8877 | − | 44.8788i | −0.235683 | − | 0.271993i | ||||
\(166\) | −0.554222 | − | 0.862386i | −0.00333869 | − | 0.00519510i | ||||
\(167\) | 178.580 | − | 206.093i | 1.06934 | − | 1.23409i | 0.0983081 | − | 0.995156i | \(-0.468657\pi\) |
0.971036 | − | 0.238933i | \(-0.0767976\pi\) | |||||||
\(168\) | 14.4343 | + | 2.07534i | 0.0859185 | + | 0.0123532i | ||||
\(169\) | −29.4016 | + | 8.63309i | −0.173974 | + | 0.0510834i | ||||
\(170\) | 42.9187 | + | 27.5822i | 0.252463 | + | 0.162248i | ||||
\(171\) | −62.9859 | + | 9.05600i | −0.368338 | + | 0.0529591i | ||||
\(172\) | 191.149 | − | 87.2950i | 1.11133 | − | 0.507529i | ||||
\(173\) | −47.1604 | − | 103.267i | −0.272603 | − | 0.596918i | 0.722973 | − | 0.690877i | \(-0.242775\pi\) |
−0.995576 | + | 0.0939583i | \(0.970048\pi\) | |||||||
\(174\) | −2.68480 | − | 18.6732i | −0.0154299 | − | 0.107317i | ||||
\(175\) | 19.3802 | − | 30.1562i | 0.110744 | − | 0.172321i | ||||
\(176\) | 33.7685 | + | 115.005i | 0.191867 | + | 0.653438i | ||||
\(177\) | −3.76969 | + | 26.2188i | −0.0212977 | + | 0.148129i | ||||
\(178\) | −20.6080 | − | 17.8569i | −0.115775 | − | 0.100320i | ||||
\(179\) | −105.122 | + | 67.5578i | −0.587274 | + | 0.377418i | −0.800274 | − | 0.599634i | \(-0.795313\pi\) |
0.213000 | + | 0.977052i | \(0.431676\pi\) | |||||||
\(180\) | −132.119 | + | 114.482i | −0.733996 | + | 0.636012i | ||||
\(181\) | −76.3685 | + | 260.087i | −0.421925 | + | 1.43695i | 0.424980 | + | 0.905203i | \(0.360281\pi\) |
−0.846906 | + | 0.531743i | \(0.821537\pi\) | |||||||
\(182\) | 28.2479 | + | 12.9004i | 0.155208 | + | 0.0708812i | ||||
\(183\) | − | 83.7128i | − | 0.457447i | ||||||
\(184\) | 113.165 | − | 32.7841i | 0.615029 | − | 0.178175i | ||||
\(185\) | 290.419 | 1.56983 | ||||||||
\(186\) | −15.2481 | + | 33.3887i | −0.0819790 | + | 0.179509i | ||||
\(187\) | 134.687 | + | 39.5476i | 0.720250 | + | 0.211485i | ||||
\(188\) | 7.00291 | + | 8.08179i | 0.0372495 | + | 0.0429882i | ||||
\(189\) | 26.5111 | + | 41.2522i | 0.140271 | + | 0.218265i | ||||
\(190\) | 20.6802 | − | 23.8663i | 0.108843 | − | 0.125612i | ||||
\(191\) | −76.8547 | − | 11.0500i | −0.402381 | − | 0.0578536i | −0.0618464 | − | 0.998086i | \(-0.519699\pi\) |
−0.340534 | + | 0.940232i | \(0.610608\pi\) | |||||||
\(192\) | −20.1301 | + | 5.91072i | −0.104844 | + | 0.0307850i | ||||
\(193\) | 71.3848 | + | 45.8762i | 0.369870 | + | 0.237701i | 0.712350 | − | 0.701824i | \(-0.247631\pi\) |
−0.342481 | + | 0.939525i | \(0.611267\pi\) | |||||||
\(194\) | 19.2743 | − | 2.77123i | 0.0993523 | − | 0.0142847i | ||||
\(195\) | 67.9552 | − | 31.0341i | 0.348488 | − | 0.159149i | ||||
\(196\) | −56.6465 | − | 124.038i | −0.289013 | − | 0.632849i | ||||
\(197\) | 30.3926 | + | 211.385i | 0.154277 | + | 1.07302i | 0.908945 | + | 0.416915i | \(0.136889\pi\) |
−0.754668 | + | 0.656107i | \(0.772202\pi\) | |||||||
\(198\) | 33.9397 | − | 52.8113i | 0.171413 | − | 0.266724i | ||||
\(199\) | −3.89229 | − | 13.2559i | −0.0195593 | − | 0.0666127i | 0.949135 | − | 0.314869i | \(-0.101961\pi\) |
−0.968694 | + | 0.248256i | \(0.920142\pi\) | |||||||
\(200\) | 8.07993 | − | 56.1971i | 0.0403996 | − | 0.280986i | ||||
\(201\) | −22.0195 | − | 19.0800i | −0.109550 | − | 0.0949253i | ||||
\(202\) | −10.9275 | + | 7.02267i | −0.0540964 | + | 0.0347657i | ||||
\(203\) | 77.0946 | − | 66.8028i | 0.379776 | − | 0.329078i | ||||
\(204\) | −10.9660 | + | 37.3468i | −0.0537550 | + | 0.183073i | ||||
\(205\) | −247.688 | − | 113.115i | −1.20823 | − | 0.551782i | ||||
\(206\) | − | 49.0757i | − | 0.238231i | ||||||
\(207\) | 158.778 | + | 102.854i | 0.767045 | + | 0.496880i | ||||
\(208\) | −150.789 | −0.724946 | ||||||||
\(209\) | 36.0954 | − | 79.0379i | 0.172705 | − | 0.378172i | ||||
\(210\) | −11.1498 | − | 3.27387i | −0.0530941 | − | 0.0155898i | ||||
\(211\) | 54.5636 | + | 62.9698i | 0.258595 | + | 0.298435i | 0.870170 | − | 0.492752i | \(-0.164009\pi\) |
−0.611575 | + | 0.791187i | \(0.709464\pi\) | |||||||
\(212\) | −81.0645 | − | 126.139i | −0.382380 | − | 0.594994i | ||||
\(213\) | −15.1623 | + | 17.4982i | −0.0711845 | + | 0.0821513i | ||||
\(214\) | −98.9855 | − | 14.2320i | −0.462549 | − | 0.0665045i | ||||
\(215\) | −342.308 | + | 100.511i | −1.59213 | + | 0.467492i | ||||
\(216\) | 65.3364 | + | 41.9891i | 0.302483 | + | 0.194394i | ||||
\(217\) | −196.460 | + | 28.2467i | −0.905346 | + | 0.130169i | ||||
\(218\) | 31.1137 | − | 14.2091i | 0.142723 | − | 0.0651795i | ||||
\(219\) | 29.7090 | + | 65.0536i | 0.135657 | + | 0.297048i | ||||
\(220\) | −33.9721 | − | 236.281i | −0.154419 | − | 1.07400i | ||||
\(221\) | −95.4741 | + | 148.561i | −0.432010 | + | 0.672220i | ||||
\(222\) | −8.14708 | − | 27.7464i | −0.0366986 | − | 0.124984i | ||||
\(223\) | 15.2776 | − | 106.258i | 0.0685094 | − | 0.476493i | −0.926466 | − | 0.376378i | \(-0.877170\pi\) |
0.994976 | − | 0.100116i | \(-0.0319213\pi\) | |||||||
\(224\) | 67.8103 | + | 58.7579i | 0.302724 | + | 0.262312i | ||||
\(225\) | 76.6918 | − | 49.2868i | 0.340852 | − | 0.219052i | ||||
\(226\) | −59.4598 | + | 51.5222i | −0.263096 | + | 0.227974i | ||||
\(227\) | 53.0998 | − | 180.841i | 0.233920 | − | 0.796657i | −0.755944 | − | 0.654636i | \(-0.772822\pi\) |
0.989864 | − | 0.142021i | \(-0.0453600\pi\) | |||||||
\(228\) | 21.9161 | + | 10.0088i | 0.0961233 | + | 0.0438981i | ||||
\(229\) | − | 167.091i | − | 0.729653i | −0.931076 | − | 0.364826i | \(-0.881128\pi\) | ||
0.931076 | − | 0.364826i | \(-0.118872\pi\) | |||||||
\(230\) | −92.9775 | + | 13.0250i | −0.404250 | + | 0.0566305i | ||||
\(231\) | −31.9733 | −0.138412 | ||||||||
\(232\) | 67.1176 | − | 146.967i | 0.289300 | − | 0.633478i | ||||
\(233\) | 143.837 | + | 42.2344i | 0.617326 | + | 0.181263i | 0.575420 | − | 0.817858i | \(-0.304839\pi\) |
0.0419064 | + | 0.999122i | \(0.486657\pi\) | |||||||
\(234\) | 51.7181 | + | 59.6858i | 0.221017 | + | 0.255068i | ||||
\(235\) | −9.81538 | − | 15.2730i | −0.0417676 | − | 0.0649916i | ||||
\(236\) | −69.7289 | + | 80.4714i | −0.295461 | + | 0.340981i | ||||
\(237\) | 75.7498 | + | 10.8912i | 0.319620 | + | 0.0459543i | ||||
\(238\) | 26.3564 | − | 7.73892i | 0.110741 | − | 0.0325165i | ||||
\(239\) | 64.8270 | + | 41.6618i | 0.271243 | + | 0.174317i | 0.669190 | − | 0.743091i | \(-0.266641\pi\) |
−0.397948 | + | 0.917408i | \(0.630277\pi\) | |||||||
\(240\) | 55.8508 | − | 8.03013i | 0.232711 | − | 0.0334589i | ||||
\(241\) | −254.146 | + | 116.065i | −1.05455 | + | 0.481596i | −0.865779 | − | 0.500426i | \(-0.833177\pi\) |
−0.188768 | + | 0.982022i | \(0.560449\pi\) | |||||||
\(242\) | 1.45212 | + | 3.17969i | 0.00600048 | + | 0.0131392i | ||||
\(243\) | 27.0207 | + | 187.933i | 0.111196 | + | 0.773387i | ||||
\(244\) | 181.932 | − | 283.092i | 0.745623 | − | 1.16021i | ||||
\(245\) | 65.2223 | + | 222.127i | 0.266213 | + | 0.906640i | ||||
\(246\) | −3.85859 | + | 26.8371i | −0.0156853 | + | 0.109094i | ||||
\(247\) | 82.6116 | + | 71.5834i | 0.334460 | + | 0.289811i | ||||
\(248\) | −264.456 | + | 169.955i | −1.06635 | + | 0.685304i | ||||
\(249\) | −1.00349 | + | 0.869529i | −0.00403008 | + | 0.00349208i | ||||
\(250\) | 16.0045 | − | 54.5062i | 0.0640179 | − | 0.218025i | ||||
\(251\) | 111.327 | + | 50.8411i | 0.443532 | + | 0.202554i | 0.624646 | − | 0.780908i | \(-0.285243\pi\) |
−0.181114 | + | 0.983462i | \(0.557970\pi\) | |||||||
\(252\) | 94.1266i | 0.373518i | ||||||||
\(253\) | −235.364 | + | 106.460i | −0.930294 | + | 0.420791i | ||||
\(254\) | −27.2576 | −0.107313 | ||||||||
\(255\) | 27.4513 | − | 60.1099i | 0.107652 | − | 0.235725i | ||||
\(256\) | −8.56624 | − | 2.51528i | −0.0334619 | − | 0.00982530i | ||||
\(257\) | −98.5228 | − | 113.701i | −0.383357 | − | 0.442418i | 0.530972 | − | 0.847389i | \(-0.321827\pi\) |
−0.914329 | + | 0.404971i | \(0.867281\pi\) | |||||||
\(258\) | 19.2054 | + | 29.8842i | 0.0744396 | + | 0.115830i | ||||
\(259\) | 102.400 | − | 118.175i | 0.395365 | − | 0.456275i | ||||
\(260\) | 297.250 | + | 42.7382i | 1.14327 | + | 0.164378i | ||||
\(261\) | 248.920 | − | 73.0896i | 0.953718 | − | 0.280037i | ||||
\(262\) | −41.9375 | − | 26.9516i | −0.160067 | − | 0.102869i | ||||
\(263\) | 502.874 | − | 72.3024i | 1.91207 | − | 0.274914i | 0.919169 | − | 0.393862i | \(-0.128861\pi\) |
0.992900 | + | 0.118948i | \(0.0379523\pi\) | |||||||
\(264\) | −46.0639 | + | 21.0367i | −0.174485 | + | 0.0796845i | ||||
\(265\) | 105.748 | + | 231.556i | 0.399049 | + | 0.873796i | ||||
\(266\) | −2.41980 | − | 16.8301i | −0.00909701 | − | 0.0632711i | ||||
\(267\) | −19.0953 | + | 29.7128i | −0.0715179 | + | 0.111284i | ||||
\(268\) | −32.9970 | − | 112.377i | −0.123123 | − | 0.419319i | ||||
\(269\) | 13.4539 | − | 93.5740i | 0.0500145 | − | 0.347859i | −0.949413 | − | 0.314030i | \(-0.898321\pi\) |
0.999428 | − | 0.0338289i | \(-0.0107701\pi\) | |||||||
\(270\) | −46.7725 | − | 40.5286i | −0.173231 | − | 0.150106i | ||||
\(271\) | 223.744 | − | 143.792i | 0.825624 | − | 0.530596i | −0.0582607 | − | 0.998301i | \(-0.518555\pi\) |
0.883885 | + | 0.467705i | \(0.154919\pi\) | |||||||
\(272\) | −100.802 | + | 87.3456i | −0.370596 | + | 0.321123i | ||||
\(273\) | 11.3323 | − | 38.5942i | 0.0415102 | − | 0.141371i | ||||
\(274\) | 163.574 | + | 74.7018i | 0.596985 | + | 0.272634i | ||||
\(275\) | 124.482i | 0.452660i | ||||||||
\(276\) | −29.5199 | − | 65.2634i | −0.106956 | − | 0.236461i | ||||
\(277\) | −58.0724 | −0.209648 | −0.104824 | − | 0.994491i | \(-0.533428\pi\) | ||||
−0.104824 | + | 0.994491i | \(0.533428\pi\) | |||||||
\(278\) | −11.6279 | + | 25.4616i | −0.0418270 | + | 0.0915884i | ||||
\(279\) | −484.320 | − | 142.209i | −1.73591 | − | 0.509710i | ||||
\(280\) | −65.1726 | − | 75.2132i | −0.232759 | − | 0.268619i | ||||
\(281\) | 13.3378 | + | 20.7539i | 0.0474653 | + | 0.0738575i | 0.864175 | − | 0.503191i | \(-0.167841\pi\) |
−0.816710 | + | 0.577048i | \(0.804204\pi\) | |||||||
\(282\) | −1.18382 | + | 1.36620i | −0.00419795 | + | 0.00484470i | ||||
\(283\) | −395.068 | − | 56.8022i | −1.39600 | − | 0.200715i | −0.597095 | − | 0.802171i | \(-0.703678\pi\) |
−0.798906 | + | 0.601456i | \(0.794588\pi\) | |||||||
\(284\) | −89.3031 | + | 26.2218i | −0.314448 | + | 0.0923301i | ||||
\(285\) | −34.4107 | − | 22.1144i | −0.120739 | − | 0.0775944i | ||||
\(286\) | −106.742 | + | 15.3471i | −0.373222 | + | 0.0536613i | ||||
\(287\) | −133.361 | + | 60.9039i | −0.464672 | + | 0.212209i | ||||
\(288\) | 94.7922 | + | 207.566i | 0.329140 | + | 0.720715i | ||||
\(289\) | −18.8984 | − | 131.442i | −0.0653926 | − | 0.454815i | ||||
\(290\) | −69.6061 | + | 108.309i | −0.240021 | + | 0.373480i | ||||
\(291\) | −7.10592 | − | 24.2005i | −0.0244190 | − | 0.0831633i | ||||
\(292\) | −40.9133 | + | 284.558i | −0.140114 | + | 0.974514i | ||||
\(293\) | 55.1994 | + | 47.8305i | 0.188394 | + | 0.163244i | 0.743951 | − | 0.668234i | \(-0.232950\pi\) |
−0.555557 | + | 0.831478i | \(0.687495\pi\) | |||||||
\(294\) | 19.3921 | − | 12.4626i | 0.0659596 | − | 0.0423897i | ||||
\(295\) | 136.619 | − | 118.381i | 0.463114 | − | 0.401291i | ||||
\(296\) | 69.7741 | − | 237.629i | 0.235723 | − | 0.802800i | ||||
\(297\) | −154.897 | − | 70.7389i | −0.521537 | − | 0.238178i | ||||
\(298\) | − | 123.169i | − | 0.413319i | ||||||
\(299\) | −45.0853 | − | 321.836i | −0.150787 | − | 1.07637i | ||||
\(300\) | −34.5170 | −0.115057 | ||||||||
\(301\) | −79.7960 | + | 174.729i | −0.265103 | + | 0.580495i | ||||
\(302\) | 15.5802 | + | 4.57477i | 0.0515902 | + | 0.0151483i | ||||
\(303\) | 11.0180 | + | 12.7154i | 0.0363630 | + | 0.0419651i | ||||
\(304\) | 44.6362 | + | 69.4553i | 0.146830 | + | 0.228471i | ||||
\(305\) | −374.126 | + | 431.764i | −1.22664 | + | 1.41562i | ||||
\(306\) | 69.1470 | + | 9.94183i | 0.225970 | + | 0.0324897i | ||||
\(307\) | 443.905 | − | 130.342i | 1.44594 | − | 0.424567i | 0.537745 | − | 0.843107i | \(-0.319276\pi\) |
0.908198 | + | 0.418540i | \(0.137458\pi\) | |||||||
\(308\) | −108.124 | − | 69.4871i | −0.351052 | − | 0.225608i | ||||
\(309\) | −62.9192 | + | 9.04642i | −0.203622 | + | 0.0292764i | ||||
\(310\) | 227.864 | − | 104.062i | 0.735046 | − | 0.335684i | ||||
\(311\) | −228.461 | − | 500.260i | −0.734601 | − | 1.60855i | −0.792236 | − | 0.610214i | \(-0.791083\pi\) |
0.0576353 | − | 0.998338i | \(-0.481644\pi\) | |||||||
\(312\) | −9.06649 | − | 63.0588i | −0.0290593 | − | 0.202112i | ||||
\(313\) | −68.9126 | + | 107.230i | −0.220168 | + | 0.342588i | −0.933714 | − | 0.358021i | \(-0.883452\pi\) |
0.713546 | + | 0.700609i | \(0.247088\pi\) | |||||||
\(314\) | −9.65262 | − | 32.8738i | −0.0307408 | − | 0.104694i | ||||
\(315\) | 22.7421 | − | 158.175i | 0.0721972 | − | 0.502142i | ||||
\(316\) | 232.494 | + | 201.457i | 0.735740 | + | 0.637522i | ||||
\(317\) | 142.955 | − | 91.8719i | 0.450964 | − | 0.289817i | −0.295377 | − | 0.955381i | \(-0.595445\pi\) |
0.746341 | + | 0.665564i | \(0.231809\pi\) | |||||||
\(318\) | 19.1561 | − | 16.5989i | 0.0602394 | − | 0.0521977i | ||||
\(319\) | −99.8019 | + | 339.894i | −0.312859 | + | 1.06550i | ||||
\(320\) | 130.241 | + | 59.4789i | 0.407002 | + | 0.185871i | ||||
\(321\) | 129.531i | 0.403524i | ||||||||
\(322\) | −27.4831 | + | 42.4263i | −0.0853512 | + | 0.131759i | ||||
\(323\) | 96.6910 | 0.299353 | ||||||||
\(324\) | −89.1928 | + | 195.305i | −0.275286 | + | 0.602793i | ||||
\(325\) | −150.259 | − | 44.1200i | −0.462335 | − | 0.135754i | ||||
\(326\) | 12.9625 | + | 14.9596i | 0.0397624 | + | 0.0458883i | ||||
\(327\) | −23.9527 | − | 37.2711i | −0.0732499 | − | 0.113979i | ||||
\(328\) | −152.062 | + | 175.489i | −0.463603 | + | 0.535026i | ||||
\(329\) | −9.67562 | − | 1.39114i | −0.0294092 | − | 0.00422840i | ||||
\(330\) | 38.7188 | − | 11.3689i | 0.117330 | − | 0.0344511i | ||||
\(331\) | −374.054 | − | 240.390i | −1.13007 | − | 0.726254i | −0.164498 | − | 0.986377i | \(-0.552600\pi\) |
−0.965575 | + | 0.260124i | \(0.916237\pi\) | |||||||
\(332\) | −5.28324 | + | 0.759616i | −0.0159134 | + | 0.00228800i | ||||
\(333\) | 361.732 | − | 165.198i | 1.08628 | − | 0.496089i | ||||
\(334\) | 76.9810 | + | 168.565i | 0.230482 | + | 0.504685i | ||||
\(335\) | 28.2980 | + | 196.817i | 0.0844717 | + | 0.587514i | ||||
\(336\) | 16.4250 | − | 25.5578i | 0.0488838 | − | 0.0760647i | ||||
\(337\) | −69.9416 | − | 238.199i | −0.207542 | − | 0.706823i | −0.995806 | − | 0.0914863i | \(-0.970838\pi\) |
0.788264 | − | 0.615337i | \(-0.210980\pi\) | |||||||
\(338\) | 2.96344 | − | 20.6112i | 0.00876757 | − | 0.0609798i | ||||
\(339\) | 77.0165 | + | 66.7352i | 0.227187 | + | 0.196859i | ||||
\(340\) | 223.468 | − | 143.614i | 0.657259 | − | 0.422395i | ||||
\(341\) | 520.897 | − | 451.360i | 1.52756 | − | 1.32364i | ||||
\(342\) | 12.1826 | − | 41.4901i | 0.0356216 | − | 0.121316i | ||||
\(343\) | 257.541 | + | 117.615i | 0.750849 | + | 0.342901i | ||||
\(344\) | 304.234i | 0.884400i | ||||||||
\(345\) | 33.8383 | + | 116.804i | 0.0980820 | + | 0.338563i | ||||
\(346\) | 77.1457 | 0.222964 | ||||||||
\(347\) | −118.487 | + | 259.450i | −0.341461 | + | 0.747695i | −0.999988 | − | 0.00486177i | \(-0.998452\pi\) |
0.658527 | + | 0.752557i | \(0.271180\pi\) | |||||||
\(348\) | −94.2480 | − | 27.6737i | −0.270828 | − | 0.0795222i | ||||
\(349\) | 297.571 | + | 343.415i | 0.852638 | + | 0.983997i | 0.999987 | − | 0.00508777i | \(-0.00161950\pi\) |
−0.147349 | + | 0.989085i | \(0.547074\pi\) | |||||||
\(350\) | 13.1697 | + | 20.4924i | 0.0376276 | + | 0.0585497i | ||||
\(351\) | 140.287 | − | 161.900i | 0.399679 | − | 0.461254i | ||||
\(352\) | −308.412 | − | 44.3429i | −0.876169 | − | 0.125974i | ||||
\(353\) | 64.5112 | − | 18.9422i | 0.182751 | − | 0.0536606i | −0.189076 | − | 0.981962i | \(-0.560549\pi\) |
0.371828 | + | 0.928302i | \(0.378731\pi\) | |||||||
\(354\) | −15.1425 | − | 9.73152i | −0.0427755 | − | 0.0274902i | ||||
\(355\) | 156.405 | − | 22.4876i | 0.440577 | − | 0.0633454i | ||||
\(356\) | −129.149 | + | 58.9804i | −0.362778 | + | 0.165675i | ||||
\(357\) | −14.7804 | − | 32.3645i | −0.0414017 | − | 0.0906570i | ||||
\(358\) | −12.0846 | − | 84.0505i | −0.0337560 | − | 0.234778i | ||||
\(359\) | −236.941 | + | 368.687i | −0.660002 | + | 1.02698i | 0.336358 | + | 0.941734i | \(0.390805\pi\) |
−0.996360 | + | 0.0852490i | \(0.972831\pi\) | |||||||
\(360\) | −71.3060 | − | 242.846i | −0.198072 | − | 0.674572i | ||||
\(361\) | −42.8579 | + | 298.084i | −0.118720 | + | 0.825716i | ||||
\(362\) | −139.210 | − | 120.626i | −0.384559 | − | 0.333222i | ||||
\(363\) | 3.80896 | − | 2.44787i | 0.0104930 | − | 0.00674344i | ||||
\(364\) | 122.199 | − | 105.886i | 0.335711 | − | 0.290895i | ||||
\(365\) | 137.505 | − | 468.300i | 0.376727 | − | 1.28301i | ||||
\(366\) | 51.7457 | + | 23.6314i | 0.141382 | + | 0.0645668i | ||||
\(367\) | 548.797i | 1.49536i | 0.664060 | + | 0.747679i | \(0.268832\pi\) | ||||
−0.664060 | + | 0.747679i | \(0.731168\pi\) | |||||||
\(368\) | 35.8104 | − | 242.828i | 0.0973108 | − | 0.659857i | ||||
\(369\) | −372.851 | −1.01044 | ||||||||
\(370\) | −81.9830 | + | 179.518i | −0.221576 | + | 0.485183i | ||||
\(371\) | 131.509 | + | 38.6145i | 0.354472 | + | 0.104082i | ||||
\(372\) | 125.156 | + | 144.438i | 0.336440 | + | 0.388273i | ||||
\(373\) | −157.464 | − | 245.019i | −0.422156 | − | 0.656887i | 0.563410 | − | 0.826177i | \(-0.309489\pi\) |
−0.985566 | + | 0.169290i | \(0.945853\pi\) | |||||||
\(374\) | −62.4667 | + | 72.0904i | −0.167023 | + | 0.192755i | ||||
\(375\) | −72.8318 | − | 10.4716i | −0.194218 | − | 0.0279244i | ||||
\(376\) | −14.8550 | + | 4.36181i | −0.0395079 | + | 0.0116006i | ||||
\(377\) | −374.906 | − | 240.937i | −0.994446 | − | 0.639091i | ||||
\(378\) | −32.9832 | + | 4.74227i | −0.0872572 | + | 0.0125457i | ||||
\(379\) | 84.1521 | − | 38.4310i | 0.222037 | − | 0.101401i | −0.301291 | − | 0.953532i | \(-0.597418\pi\) |
0.523328 | + | 0.852131i | \(0.324690\pi\) | |||||||
\(380\) | −68.3057 | − | 149.569i | −0.179752 | − | 0.393602i | ||||
\(381\) | 5.02456 | + | 34.9466i | 0.0131878 | + | 0.0917233i | ||||
\(382\) | 28.5259 | − | 44.3871i | 0.0746751 | − | 0.116197i | ||||
\(383\) | −101.803 | − | 346.708i | −0.265803 | − | 0.905243i | −0.978928 | − | 0.204206i | \(-0.934539\pi\) |
0.713125 | − | 0.701037i | \(-0.247279\pi\) | |||||||
\(384\) | 15.9293 | − | 110.791i | 0.0414827 | − | 0.288518i | ||||
\(385\) | 164.908 | + | 142.894i | 0.428333 | + | 0.371152i | ||||
\(386\) | −48.5090 | + | 31.1748i | −0.125671 | + | 0.0807638i | ||||
\(387\) | −369.190 | + | 319.905i | −0.953979 | + | 0.826627i | ||||
\(388\) | 28.5646 | − | 97.2822i | 0.0736202 | − | 0.250727i | ||||
\(389\) | −104.351 | − | 47.6557i | −0.268255 | − | 0.122508i | 0.276746 | − | 0.960943i | \(-0.410744\pi\) |
−0.545002 | + | 0.838435i | \(0.683471\pi\) | |||||||
\(390\) | 50.7661i | 0.130169i | ||||||||
\(391\) | −216.566 | − | 189.031i | −0.553876 | − | 0.483455i | ||||
\(392\) | 197.420 | 0.503622 | ||||||||
\(393\) | −26.8237 | + | 58.7356i | −0.0682536 | + | 0.149455i | ||||
\(394\) | −139.244 | − | 40.8857i | −0.353411 | − | 0.103771i | ||||
\(395\) | −342.019 | − | 394.711i | −0.865872 | − | 0.999269i | ||||
\(396\) | −176.717 | − | 274.976i | −0.446254 | − | 0.694385i | ||||
\(397\) | −18.0591 | + | 20.8414i | −0.0454890 | + | 0.0524971i | −0.778038 | − | 0.628217i | \(-0.783785\pi\) |
0.732549 | + | 0.680714i | \(0.238330\pi\) | |||||||
\(398\) | 9.29270 | + | 1.33609i | 0.0233485 | + | 0.00335701i | ||||
\(399\) | −21.1316 | + | 6.20479i | −0.0529613 | + | 0.0155509i | ||||
\(400\) | −99.5041 | − | 63.9474i | −0.248760 | − | 0.159868i | ||||
\(401\) | 431.208 | − | 61.9983i | 1.07533 | − | 0.154609i | 0.418177 | − | 0.908366i | \(-0.362669\pi\) |
0.657154 | + | 0.753756i | \(0.271760\pi\) | |||||||
\(402\) | 18.0099 | − | 8.22484i | 0.0448007 | − | 0.0204598i | ||||
\(403\) | 360.205 | + | 788.738i | 0.893808 | + | 1.95717i | ||||
\(404\) | 9.62525 | + | 66.9451i | 0.0238249 | + | 0.165706i | ||||
\(405\) | 197.072 | − | 306.650i | 0.486597 | − | 0.757160i | ||||
\(406\) | 19.5299 | + | 66.5126i | 0.0481031 | + | 0.163824i | ||||
\(407\) | −77.2779 | + | 537.480i | −0.189872 | + | 1.32059i | ||||
\(408\) | −42.5883 | − | 36.9029i | −0.104383 | − | 0.0904484i | ||||
\(409\) | −25.3687 | + | 16.3035i | −0.0620262 | + | 0.0398618i | −0.571286 | − | 0.820751i | \(-0.693555\pi\) |
0.509260 | + | 0.860613i | \(0.329919\pi\) | |||||||
\(410\) | 139.841 | − | 121.173i | 0.341075 | − | 0.295543i | ||||
\(411\) | 65.6214 | − | 223.486i | 0.159663 | − | 0.543762i | ||||
\(412\) | −232.435 | − | 106.149i | −0.564161 | − | 0.257644i | ||||
\(413\) | − | 97.3321i | − | 0.235671i | ||||||
\(414\) | −108.399 | + | 69.1112i | −0.261834 | + | 0.166935i | ||||
\(415\) | 9.06175 | 0.0218355 | ||||||||
\(416\) | 162.836 | − | 356.560i | 0.391432 | − | 0.857116i | ||||
\(417\) | 34.7874 | + | 10.2145i | 0.0834230 | + | 0.0244952i | ||||
\(418\) | 38.6665 | + | 44.6235i | 0.0925036 | + | 0.106755i | ||||
\(419\) | 175.582 | + | 273.212i | 0.419051 | + | 0.652057i | 0.985034 | − | 0.172361i | \(-0.0551394\pi\) |
−0.565983 | + | 0.824417i | \(0.691503\pi\) | |||||||
\(420\) | −39.6225 | + | 45.7268i | −0.0943392 | + | 0.108873i | ||||
\(421\) | 329.228 | + | 47.3358i | 0.782014 | + | 0.112437i | 0.521747 | − | 0.853100i | \(-0.325280\pi\) |
0.260267 | + | 0.965537i | \(0.416189\pi\) | |||||||
\(422\) | −54.3266 | + | 15.9517i | −0.128736 | + | 0.0378003i | ||||
\(423\) | −20.9132 | − | 13.4401i | −0.0494403 | − | 0.0317733i | ||||
\(424\) | 214.872 | − | 30.8939i | 0.506772 | − | 0.0728629i | ||||
\(425\) | −126.005 | + | 57.5445i | −0.296482 | + | 0.135399i | ||||
\(426\) | −6.53604 | − | 14.3119i | −0.0153428 | − | 0.0335961i | ||||
\(427\) | 43.7766 | + | 304.473i | 0.102521 | + | 0.713052i | ||||
\(428\) | −281.509 | + | 438.036i | −0.657731 | + | 1.02345i | ||||
\(429\) | 39.3526 | + | 134.023i | 0.0917311 | + | 0.312407i | ||||
\(430\) | 34.5018 | − | 239.966i | 0.0802368 | − | 0.558059i | ||||
\(431\) | 404.427 | + | 350.438i | 0.938346 | + | 0.813081i | 0.982561 | − | 0.185941i | \(-0.0595333\pi\) |
−0.0442152 | + | 0.999022i | \(0.514079\pi\) | |||||||
\(432\) | 136.117 | − | 87.4769i | 0.315085 | − | 0.202493i | ||||
\(433\) | −43.6959 | + | 37.8627i | −0.100914 | + | 0.0874428i | −0.703857 | − | 0.710342i | \(-0.748540\pi\) |
0.602942 | + | 0.797785i | \(0.293995\pi\) | |||||||
\(434\) | 37.9989 | − | 129.412i | 0.0875551 | − | 0.298185i | ||||
\(435\) | 151.693 | + | 69.2757i | 0.348719 | + | 0.159255i | ||||
\(436\) | − | 178.096i | − | 0.408477i | ||||||
\(437\) | −134.896 | + | 116.036i | −0.308686 | + | 0.265529i | ||||
\(438\) | −48.5984 | −0.110955 | ||||||||
\(439\) | 203.717 | − | 446.078i | 0.464048 | − | 1.01612i | −0.522498 | − | 0.852640i | \(-0.675000\pi\) |
0.986546 | − | 0.163483i | \(-0.0522728\pi\) | |||||||
\(440\) | 331.600 | + | 97.3665i | 0.753636 | + | 0.221287i | ||||
\(441\) | 207.589 | + | 239.571i | 0.470723 | + | 0.543244i | ||||
\(442\) | −64.8787 | − | 100.953i | −0.146784 | − | 0.228401i | ||||
\(443\) | −419.263 | + | 483.855i | −0.946417 | + | 1.09222i | 0.0492080 | + | 0.998789i | \(0.484330\pi\) |
−0.995625 | + | 0.0934353i | \(0.970215\pi\) | |||||||
\(444\) | −149.036 | − | 21.4281i | −0.335666 | − | 0.0482615i | ||||
\(445\) | 231.279 | − | 67.9096i | 0.519728 | − | 0.152606i | ||||
\(446\) | 61.3689 | + | 39.4394i | 0.137598 | + | 0.0884291i | ||||
\(447\) | −157.913 | + | 22.7045i | −0.353273 | + | 0.0507931i | ||||
\(448\) | 70.1245 | − | 32.0248i | 0.156528 | − | 0.0714839i | ||||
\(449\) | −237.091 | − | 519.157i | −0.528043 | − | 1.15625i | −0.966304 | − | 0.257404i | \(-0.917133\pi\) |
0.438261 | − | 0.898848i | \(-0.355594\pi\) | |||||||
\(450\) | 8.81634 | + | 61.3190i | 0.0195919 | + | 0.136264i | ||||
\(451\) | 275.250 | − | 428.298i | 0.610311 | − | 0.949663i | ||||
\(452\) | 115.412 | + | 393.057i | 0.255336 | + | 0.869596i | ||||
\(453\) | 2.99325 | − | 20.8185i | 0.00660761 | − | 0.0459570i | ||||
\(454\) | 96.7943 | + | 83.8728i | 0.213203 | + | 0.184742i | ||||
\(455\) | −230.932 | + | 148.411i | −0.507543 | + | 0.326178i | ||||
\(456\) | −26.3619 | + | 22.8427i | −0.0578111 | + | 0.0500936i | ||||
\(457\) | 43.3209 | − | 147.538i | 0.0947942 | − | 0.322839i | −0.898420 | − | 0.439137i | \(-0.855284\pi\) |
0.993214 | + | 0.116297i | \(0.0371026\pi\) | |||||||
\(458\) | 103.284 | + | 47.1683i | 0.225511 | + | 0.102988i | ||||
\(459\) | − | 189.493i | − | 0.412838i | ||||||
\(460\) | −139.418 | + | 468.537i | −0.303082 | + | 1.01856i | ||||
\(461\) | 292.976 | 0.635523 | 0.317762 | − | 0.948171i | \(-0.397069\pi\) | ||||
0.317762 | + | 0.948171i | \(0.397069\pi\) | |||||||
\(462\) | 9.02580 | − | 19.7638i | 0.0195364 | − | 0.0427787i | ||||
\(463\) | −302.097 | − | 88.7036i | −0.652477 | − | 0.191584i | −0.0612911 | − | 0.998120i | \(-0.519522\pi\) |
−0.591186 | + | 0.806535i | \(0.701340\pi\) | |||||||
\(464\) | −220.424 | − | 254.383i | −0.475052 | − | 0.548240i | ||||
\(465\) | −175.420 | − | 272.959i | −0.377248 | − | 0.587009i | ||||
\(466\) | −66.7105 | + | 76.9880i | −0.143156 | + | 0.165210i | ||||
\(467\) | −57.1037 | − | 8.21027i | −0.122278 | − | 0.0175809i | 0.0809043 | − | 0.996722i | \(-0.474219\pi\) |
−0.203182 | + | 0.979141i | \(0.565128\pi\) | |||||||
\(468\) | 394.551 | − | 115.851i | 0.843059 | − | 0.247544i | ||||
\(469\) | 90.0651 | + | 57.8813i | 0.192036 | + | 0.123414i | ||||
\(470\) | 12.2116 | − | 1.75576i | 0.0259821 | − | 0.00373566i | ||||
\(471\) | −40.3677 | + | 18.4353i | −0.0857064 | + | 0.0391408i | ||||
\(472\) | −64.0393 | − | 140.226i | −0.135676 | − | 0.297090i | ||||
\(473\) | −94.9304 | − | 660.256i | −0.200699 | − | 1.39589i | ||||
\(474\) | −28.1158 | + | 43.7490i | −0.0593160 | + | 0.0922975i | ||||
\(475\) | 24.1571 | + | 82.2716i | 0.0508571 | + | 0.173203i | ||||
\(476\) | 20.3546 | − | 141.569i | 0.0427617 | − | 0.297414i | ||||
\(477\) | 263.429 | + | 228.263i | 0.552263 | + | 0.478539i | ||||
\(478\) | −44.0527 | + | 28.3110i | −0.0921605 | + | 0.0592279i | ||||
\(479\) | −390.803 | + | 338.632i | −0.815872 | + | 0.706957i | −0.959203 | − | 0.282718i | \(-0.908764\pi\) |
0.143331 | + | 0.989675i | \(0.454219\pi\) | |||||||
\(480\) | −41.3245 | + | 140.738i | −0.0860927 | + | 0.293205i | ||||
\(481\) | −621.390 | − | 283.779i | −1.29187 | − | 0.589978i | ||||
\(482\) | − | 189.860i | − | 0.393901i | ||||||
\(483\) | 59.4602 | + | 27.4150i | 0.123106 | + | 0.0567597i | ||||
\(484\) | 18.2007 | 0.0376047 | ||||||||
\(485\) | −71.5059 | + | 156.576i | −0.147435 | + | 0.322837i | ||||
\(486\) | −123.795 | − | 36.3496i | −0.254723 | − | 0.0747935i | ||||
\(487\) | −511.316 | − | 590.090i | −1.04993 | − | 1.21168i | −0.976754 | − | 0.214364i | \(-0.931232\pi\) |
−0.0731759 | − | 0.997319i | \(-0.523313\pi\) | |||||||
\(488\) | 263.396 | + | 409.852i | 0.539746 | + | 0.839861i | ||||
\(489\) | 16.7900 | − | 19.3767i | 0.0343354 | − | 0.0396251i | ||||
\(490\) | −155.716 | − | 22.3885i | −0.317787 | − | 0.0456909i | ||||
\(491\) | −510.415 | + | 149.871i | −1.03954 | + | 0.305237i | −0.756585 | − | 0.653895i | \(-0.773134\pi\) |
−0.282957 | + | 0.959133i | \(0.591315\pi\) | |||||||
\(492\) | 118.761 | + | 76.3232i | 0.241384 | + | 0.155128i | ||||
\(493\) | −390.189 | + | 56.1008i | −0.791459 | + | 0.113795i | ||||
\(494\) | −67.5687 | + | 30.8576i | −0.136779 | + | 0.0624647i | ||||
\(495\) | 230.525 | + | 504.780i | 0.465708 | + | 1.01976i | ||||
\(496\) | 93.2036 | + | 648.245i | 0.187910 | + | 1.30695i | ||||
\(497\) | 45.9966 | − | 71.5721i | 0.0925485 | − | 0.144008i | ||||
\(498\) | −0.254208 | − | 0.865752i | −0.000510457 | − | 0.00173846i | ||||
\(499\) | 61.1025 | − | 424.977i | 0.122450 | − | 0.851658i | −0.832316 | − | 0.554301i | \(-0.812986\pi\) |
0.954766 | − | 0.297357i | \(-0.0961052\pi\) | |||||||
\(500\) | −223.538 | − | 193.696i | −0.447075 | − | 0.387393i | ||||
\(501\) | 201.924 | − | 129.769i | 0.403042 | − | 0.259020i | ||||
\(502\) | −62.8532 | + | 54.4626i | −0.125206 | + | 0.108491i | ||||
\(503\) | 127.873 | − | 435.494i | 0.254220 | − | 0.865794i | −0.729177 | − | 0.684326i | \(-0.760097\pi\) |
0.983397 | − | 0.181469i | \(-0.0580851\pi\) | |||||||
\(504\) | −123.959 | − | 56.6102i | −0.245950 | − | 0.112322i | ||||
\(505\) | − | 114.823i | − | 0.227373i | ||||||
\(506\) | 0.635016 | − | 175.539i | 0.00125497 | − | 0.346916i | ||||
\(507\) | −26.9715 | −0.0531983 | ||||||||
\(508\) | −58.9574 | + | 129.099i | −0.116058 | + | 0.254131i | ||||
\(509\) | 605.538 | + | 177.802i | 1.18966 | + | 0.349316i | 0.815892 | − | 0.578205i | \(-0.196247\pi\) |
0.373770 | + | 0.927521i | \(0.378065\pi\) | |||||||
\(510\) | 29.4066 | + | 33.9371i | 0.0576601 | + | 0.0665433i | ||||
\(511\) | −142.074 | − | 221.072i | −0.278032 | − | 0.432626i | ||||
\(512\) | 337.077 | − | 389.008i | 0.658354 | − | 0.759781i | ||||
\(513\) | −116.101 | − | 16.6928i | −0.226318 | − | 0.0325396i | ||||
\(514\) | 98.0948 | − | 28.8032i | 0.190846 | − | 0.0560374i | ||||
\(515\) | 364.947 | + | 234.537i | 0.708636 | + | 0.455412i | ||||
\(516\) | 183.080 | − | 26.3229i | 0.354806 | − | 0.0510134i | ||||
\(517\) | 30.8776 | − | 14.1013i | 0.0597246 | − | 0.0272753i | ||||
\(518\) | 44.1415 | + | 96.6565i | 0.0852153 | + | 0.186596i | ||||
\(519\) | −14.2207 | − | 98.9074i | −0.0274003 | − | 0.190573i | ||||
\(520\) | −235.058 | + | 365.757i | −0.452034 | + | 0.703379i | ||||
\(521\) | 115.915 | + | 394.771i | 0.222486 | + | 0.757719i | 0.992772 | + | 0.120019i | \(0.0382956\pi\) |
−0.770285 | + | 0.637699i | \(0.779886\pi\) | |||||||
\(522\) | −25.0891 | + | 174.499i | −0.0480634 | + | 0.334288i | ||||
\(523\) | −673.174 | − | 583.308i | −1.28714 | − | 1.11531i | −0.986880 | − | 0.161454i | \(-0.948382\pi\) |
−0.300259 | − | 0.953858i | \(-0.597073\pi\) | |||||||
\(524\) | −218.359 | + | 140.331i | −0.416716 | + | 0.267807i | ||||
\(525\) | 23.8453 | − | 20.6621i | 0.0454197 | − | 0.0393564i | ||||
\(526\) | −97.2649 | + | 331.254i | −0.184914 | + | 0.629760i | ||||
\(527\) | 697.680 | + | 318.620i | 1.32387 | + | 0.604591i | ||||
\(528\) | 105.500i | 0.199810i | ||||||||
\(529\) | 528.986 | + | 3.82728i | 0.999974 | + | 0.00723493i | ||||
\(530\) | −172.984 | −0.326385 | ||||||||
\(531\) | 102.828 | − | 225.162i | 0.193649 | − | 0.424033i | ||||
\(532\) | −84.9455 | − | 24.9422i | −0.159672 | − | 0.0468839i | ||||
\(533\) | 419.432 | + | 484.050i | 0.786927 | + | 0.908162i | ||||
\(534\) | −12.9760 | − | 20.1911i | −0.0242997 | − | 0.0378111i | ||||
\(535\) | 578.896 | − | 668.082i | 1.08205 | − | 1.24875i | ||||
\(536\) | 167.840 | + | 24.1317i | 0.313134 | + | 0.0450218i | ||||
\(537\) | −105.532 | + | 30.9871i | −0.196522 | + | 0.0577040i | ||||
\(538\) | 54.0433 | + | 34.7315i | 0.100452 | + | 0.0645567i | ||||
\(539\) | −428.446 | + | 61.6012i | −0.794890 | + | 0.114288i | ||||
\(540\) | −293.121 | + | 133.864i | −0.542817 | + | 0.247896i | ||||
\(541\) | −141.709 | − | 310.300i | −0.261939 | − | 0.573567i | 0.732272 | − | 0.681012i | \(-0.238460\pi\) |
−0.994211 | + | 0.107446i | \(0.965733\pi\) | |||||||
\(542\) | 25.7212 | + | 178.895i | 0.0474561 | + | 0.330064i | ||||
\(543\) | −128.992 | + | 200.715i | −0.237554 | + | 0.369642i | ||||
\(544\) | −97.6849 | − | 332.684i | −0.179568 | − | 0.611552i | ||||
\(545\) | −43.0301 | + | 299.281i | −0.0789544 | + | 0.549140i | ||||
\(546\) | 20.6574 | + | 17.8997i | 0.0378340 | + | 0.0327834i | ||||
\(547\) | 167.953 | − | 107.937i | 0.307043 | − | 0.197325i | −0.378040 | − | 0.925789i | \(-0.623402\pi\) |
0.685084 | + | 0.728464i | \(0.259766\pi\) | |||||||
\(548\) | 707.612 | − | 613.149i | 1.29126 | − | 1.11889i | ||||
\(549\) | −220.395 | + | 750.597i | −0.401448 | + | 1.36721i | ||||
\(550\) | −76.9462 | − | 35.1402i | −0.139902 | − | 0.0638912i | ||||
\(551\) | 244.008i | 0.442847i | ||||||||
\(552\) | 103.702 | + | 0.375143i | 0.187866 | + | 0.000679607i | ||||
\(553\) | −281.206 | −0.508511 | ||||||||
\(554\) | 16.3934 | − | 35.8965i | 0.0295909 | − | 0.0647951i | ||||
\(555\) | 245.270 | + | 72.0177i | 0.441927 | + | 0.129762i | ||||
\(556\) | 95.4415 | + | 110.145i | 0.171657 | + | 0.198103i | ||||
\(557\) | 9.50422 | + | 14.7889i | 0.0170632 | + | 0.0265509i | 0.849680 | − | 0.527298i | \(-0.176795\pi\) |
−0.832617 | + | 0.553849i | \(0.813159\pi\) | |||||||
\(558\) | 224.624 | − | 259.230i | 0.402552 | − | 0.464569i | ||||
\(559\) | 830.626 | + | 119.426i | 1.48591 | + | 0.213642i | ||||
\(560\) | −198.937 | + | 58.4130i | −0.355244 | + | 0.104309i | ||||
\(561\) | 103.941 | + | 66.7988i | 0.185278 | + | 0.119071i | ||||
\(562\) | −16.5938 | + | 2.38584i | −0.0295264 | + | 0.00424526i | ||||
\(563\) | 387.481 | − | 176.957i | 0.688243 | − | 0.314310i | −0.0404196 | − | 0.999183i | \(-0.512869\pi\) |
0.728663 | + | 0.684873i | \(0.240142\pi\) | |||||||
\(564\) | 3.91011 | + | 8.56194i | 0.00693281 | + | 0.0151807i | ||||
\(565\) | −98.9767 | − | 688.398i | −0.175180 | − | 1.21840i | ||||
\(566\) | 146.636 | − | 228.170i | 0.259074 | − | 0.403127i | ||||
\(567\) | −55.2938 | − | 188.314i | −0.0975200 | − | 0.332123i | ||||
\(568\) | 19.1768 | − | 133.377i | 0.0337619 | − | 0.234819i | ||||
\(569\) | −424.544 | − | 367.870i | −0.746123 | − | 0.646520i | 0.196452 | − | 0.980513i | \(-0.437058\pi\) |
−0.942575 | + | 0.333994i | \(0.891604\pi\) | |||||||
\(570\) | 23.3835 | − | 15.0277i | 0.0410237 | − | 0.0263643i | ||||
\(571\) | −742.583 | + | 643.452i | −1.30050 | + | 1.12689i | −0.316519 | + | 0.948586i | \(0.602514\pi\) |
−0.983976 | + | 0.178300i | \(0.942940\pi\) | |||||||
\(572\) | −158.191 | + | 538.750i | −0.276558 | + | 0.941870i | ||||
\(573\) | −62.1665 | − | 28.3905i | −0.108493 | − | 0.0495471i | ||||
\(574\) | − | 99.6275i | − | 0.173567i | ||||||
\(575\) | 106.735 | − | 231.497i | 0.185626 | − | 0.402603i | ||||
\(576\) | 196.054 | 0.340372 | ||||||||
\(577\) | −223.966 | + | 490.418i | −0.388156 | + | 0.849944i | 0.610179 | + | 0.792264i | \(0.291098\pi\) |
−0.998335 | + | 0.0576803i | \(0.981630\pi\) | |||||||
\(578\) | 86.5833 | + | 25.4232i | 0.149798 | + | 0.0439847i | ||||
\(579\) | 48.9108 | + | 56.4460i | 0.0844746 | + | 0.0974889i | ||||
\(580\) | 362.423 | + | 563.942i | 0.624868 | + | 0.972313i | ||||
\(581\) | 3.19510 | − | 3.68734i | 0.00549931 | − | 0.00634655i | ||||
\(582\) | 16.9651 | + | 2.43921i | 0.0291497 | + | 0.00419109i | ||||
\(583\) | −456.680 | + | 134.093i | −0.783327 | + | 0.230006i | ||||
\(584\) | −350.140 | − | 225.021i | −0.599554 | − | 0.385310i | ||||
\(585\) | −691.015 | + | 99.3529i | −1.18122 | + | 0.169834i | ||||
\(586\) | −45.1480 | + | 20.6184i | −0.0770444 | + | 0.0351850i | ||||
\(587\) | −299.450 | − | 655.705i | −0.510137 | − | 1.11704i | −0.973040 | − | 0.230635i | \(-0.925920\pi\) |
0.462903 | − | 0.886409i | \(-0.346808\pi\) | |||||||
\(588\) | −17.0812 | − | 118.802i | −0.0290496 | − | 0.202044i | ||||
\(589\) | 256.676 | − | 399.396i | 0.435783 | − | 0.678091i | ||||
\(590\) | 34.6087 | + | 117.867i | 0.0586589 | + | 0.199774i | ||||
\(591\) | −26.7513 | + | 186.059i | −0.0452645 | + | 0.314821i | ||||
\(592\) | −389.934 | − | 337.880i | −0.658673 | − | 0.570743i | ||||
\(593\) | −664.843 | + | 427.269i | −1.12115 | + | 0.720521i | −0.963695 | − | 0.267005i | \(-0.913966\pi\) |
−0.157457 | + | 0.987526i | \(0.550330\pi\) | |||||||
\(594\) | 87.4521 | − | 75.7777i | 0.147226 | − | 0.127572i | ||||
\(595\) | −68.4097 | + | 232.982i | −0.114974 | + | 0.391566i | ||||
\(596\) | −583.359 | − | 266.411i | −0.978790 | − | 0.446999i | ||||
\(597\) | − | 12.1603i | − | 0.0203691i | ||||||
\(598\) | 211.665 | + | 62.9830i | 0.353954 | + | 0.105323i | ||||
\(599\) | 46.3546 | 0.0773867 | 0.0386933 | − | 0.999251i | \(-0.487680\pi\) | ||||
0.0386933 | + | 0.999251i | \(0.487680\pi\) | |||||||
\(600\) | 20.7595 | − | 45.4569i | 0.0345991 | − | 0.0757615i | ||||
\(601\) | −231.629 | − | 68.0123i | −0.385405 | − | 0.113165i | 0.0832894 | − | 0.996525i | \(-0.473457\pi\) |
−0.468695 | + | 0.883360i | \(0.655276\pi\) | |||||||
\(602\) | −85.4800 | − | 98.6492i | −0.141993 | − | 0.163869i | ||||
\(603\) | 147.201 | + | 229.049i | 0.244115 | + | 0.379850i | ||||
\(604\) | 55.3669 | − | 63.8968i | 0.0916670 | − | 0.105789i | ||||
\(605\) | −30.5853 | − | 4.39751i | −0.0505543 | − | 0.00726861i | ||||
\(606\) | −10.9701 | + | 3.22112i | −0.0181025 | + | 0.00531538i | ||||
\(607\) | 587.143 | + | 377.334i | 0.967287 | + | 0.621637i | 0.926005 | − | 0.377510i | \(-0.123220\pi\) |
0.0412812 | + | 0.999148i | \(0.486856\pi\) | |||||||
\(608\) | −212.439 | + | 30.5441i | −0.349406 | + | 0.0502370i | ||||
\(609\) | 81.6748 | − | 37.2996i | 0.134113 | − | 0.0612474i | ||||
\(610\) | −161.275 | − | 353.143i | −0.264385 | − | 0.578923i | ||||
\(611\) | 6.07745 | + | 42.2696i | 0.00994673 | + | 0.0691810i | ||||
\(612\) | 196.650 | − | 305.993i | 0.321323 | − | 0.499989i | ||||
\(613\) | −71.2188 | − | 242.549i | −0.116181 | − | 0.395675i | 0.880785 | − | 0.473516i | \(-0.157015\pi\) |
−0.996966 | + | 0.0778412i | \(0.975197\pi\) | |||||||
\(614\) | −44.7419 | + | 311.187i | −0.0728696 | + | 0.506819i | ||||
\(615\) | −181.131 | − | 156.951i | −0.294523 | − | 0.255205i | ||||
\(616\) | 156.539 | − | 100.602i | 0.254122 | − | 0.163314i | ||||
\(617\) | 412.293 | − | 357.254i | 0.668221 | − | 0.579017i | −0.253280 | − | 0.967393i | \(-0.581509\pi\) |
0.921501 | + | 0.388376i | \(0.126964\pi\) | |||||||
\(618\) | 12.1697 | − | 41.4462i | 0.0196921 | − | 0.0670650i | ||||
\(619\) | 547.790 | + | 250.167i | 0.884960 | + | 0.404148i | 0.805434 | − | 0.592685i | \(-0.201932\pi\) |
0.0795257 | + | 0.996833i | \(0.474659\pi\) | |||||||
\(620\) | − | 1304.30i | − | 2.10372i | ||||||
\(621\) | 227.405 | + | 264.365i | 0.366191 | + | 0.425709i | ||||
\(622\) | 373.720 | 0.600836 | ||||||||
\(623\) | 53.9138 | − | 118.055i | 0.0865390 | − | 0.189494i | ||||
\(624\) | −127.347 | − | 37.3923i | −0.204081 | − | 0.0599236i | ||||
\(625\) | 510.296 | + | 588.913i | 0.816473 | + | 0.942260i | ||||
\(626\) | −46.8290 | − | 72.8673i | −0.0748067 | − | 0.116401i | ||||
\(627\) | 50.0836 | − | 57.7995i | 0.0798781 | − | 0.0921842i | ||||
\(628\) | −176.577 | − | 25.3879i | −0.281173 | − | 0.0404266i | ||||
\(629\) | −579.780 | + | 170.239i | −0.921749 | + | 0.270650i | ||||
\(630\) | 91.3533 | + | 58.7092i | 0.145005 | + | 0.0931892i | ||||
\(631\) | −179.220 | + | 25.7679i | −0.284025 | + | 0.0408366i | −0.282855 | − | 0.959163i | \(-0.591282\pi\) |
−0.00117005 | + | 0.999999i | \(0.500372\pi\) | |||||||
\(632\) | −405.135 | + | 185.019i | −0.641036 | + | 0.292751i | ||||
\(633\) | 30.4658 | + | 66.7108i | 0.0481293 | + | 0.105388i | ||||
\(634\) | 16.4339 | + | 114.300i | 0.0259210 | + | 0.180284i | ||||
\(635\) | 130.267 | − | 202.699i | 0.205145 | − | 0.319211i | ||||
\(636\) | −37.1822 | − | 126.631i | −0.0584626 | − | 0.199105i | ||||
\(637\) | 77.4966 | − | 539.001i | 0.121659 | − | 0.846155i | ||||
\(638\) | −181.927 | − | 157.640i | −0.285151 | − | 0.247085i | ||||
\(639\) | 182.019 | − | 116.976i | 0.284850 | − | 0.183062i | ||||
\(640\) | −577.301 | + | 500.234i | −0.902033 | + | 0.781616i | ||||
\(641\) | −321.888 | + | 1096.25i | −0.502165 | + | 1.71022i | 0.184138 | + | 0.982900i | \(0.441051\pi\) |
−0.686303 | + | 0.727316i | \(0.740768\pi\) | |||||||
\(642\) | −80.0676 | − | 36.5657i | −0.124716 | − | 0.0569559i | ||||
\(643\) | 131.647i | 0.204739i | 0.994746 | + | 0.102370i | \(0.0326424\pi\) | ||||
−0.994746 | + | 0.102370i | \(0.967358\pi\) | |||||||
\(644\) | 141.496 | + | 221.933i | 0.219714 | + | 0.344617i | ||||
\(645\) | −314.016 | −0.486847 | ||||||||
\(646\) | −27.2951 | + | 59.7680i | −0.0422525 | + | 0.0925201i | ||||
\(647\) | 206.303 | + | 60.5760i | 0.318861 | + | 0.0936259i | 0.437246 | − | 0.899342i | \(-0.355954\pi\) |
−0.118386 | + | 0.992968i | \(0.537772\pi\) | |||||||
\(648\) | −203.562 | − | 234.923i | −0.314139 | − | 0.362536i | ||||
\(649\) | 182.735 | + | 284.341i | 0.281563 | + | 0.438121i | ||||
\(650\) | 69.6890 | − | 80.4254i | 0.107214 | − | 0.123731i | ||||
\(651\) | −172.922 | − | 24.8625i | −0.265626 | − | 0.0381912i | ||||
\(652\) | 98.8899 | − | 29.0367i | 0.151672 | − | 0.0445348i | ||||
\(653\) | 893.050 | + | 573.929i | 1.36761 | + | 0.878911i | 0.998721 | − | 0.0505622i | \(-0.0161013\pi\) |
0.368891 | + | 0.929473i | \(0.379738\pi\) | |||||||
\(654\) | 29.8002 | − | 4.28462i | 0.0455660 | − | 0.00655141i | ||||
\(655\) | 400.847 | − | 183.061i | 0.611980 | − | 0.279482i | ||||
\(656\) | 200.960 | + | 440.041i | 0.306342 | + | 0.670795i | ||||
\(657\) | −95.1107 | − | 661.509i | −0.144765 | − | 1.00686i | ||||
\(658\) | 3.59126 | − | 5.58811i | 0.00545784 | − | 0.00849257i | ||||
\(659\) | 304.903 | + | 1038.41i | 0.462676 | + | 1.57573i | 0.778966 | + | 0.627067i | \(0.215745\pi\) |
−0.316290 | + | 0.948663i | \(0.602437\pi\) | |||||||
\(660\) | 29.9019 | − | 207.972i | 0.0453059 | − | 0.315110i | ||||
\(661\) | 475.684 | + | 412.183i | 0.719644 | + | 0.623575i | 0.935696 | − | 0.352807i | \(-0.114773\pi\) |
−0.216053 | + | 0.976382i | \(0.569318\pi\) | |||||||
\(662\) | 254.186 | − | 163.355i | 0.383966 | − | 0.246760i | ||||
\(663\) | −117.471 | + | 101.789i | −0.177181 | + | 0.153528i | ||||
\(664\) | 2.17711 | − | 7.41457i | 0.00327878 | − | 0.0111665i | ||||
\(665\) | 136.720 | + | 62.4380i | 0.205594 | + | 0.0938918i | ||||
\(666\) | 270.233i | 0.405755i | ||||||||
\(667\) | 477.037 | − | 546.522i | 0.715198 | − | 0.819374i | ||||
\(668\) | 964.873 | 1.44442 | ||||||||
\(669\) | 39.2522 | − | 85.9503i | 0.0586729 | − | 0.128476i | ||||
\(670\) | −129.647 | − | 38.0679i | −0.193504 | − | 0.0568178i | ||||
\(671\) | −699.515 | − | 807.284i | −1.04250 | − | 1.20311i | ||||
\(672\) | 42.6976 | + | 66.4387i | 0.0635380 | + | 0.0988671i | ||||
\(673\) | −90.5587 | + | 104.510i | −0.134560 | + | 0.155290i | −0.819030 | − | 0.573750i | \(-0.805488\pi\) |
0.684471 | + | 0.729041i | \(0.260033\pi\) | |||||||
\(674\) | 166.983 | + | 24.0085i | 0.247749 | + | 0.0356210i | ||||
\(675\) | 161.234 | − | 47.3425i | 0.238865 | − | 0.0701371i | ||||
\(676\) | −91.2097 | − | 58.6169i | −0.134926 | − | 0.0867114i | ||||
\(677\) | 616.883 | − | 88.6944i | 0.911201 | − | 0.131011i | 0.329258 | − | 0.944240i | \(-0.393202\pi\) |
0.581944 | + | 0.813229i | \(0.302292\pi\) | |||||||
\(678\) | −62.9924 | + | 28.7677i | −0.0929091 | + | 0.0424302i | ||||
\(679\) | 38.5004 | + | 84.3042i | 0.0567017 | + | 0.124159i | ||||
\(680\) | 54.7317 | + | 380.667i | 0.0804878 | + | 0.559805i | ||||
\(681\) | 89.6894 | − | 139.559i | 0.131702 | − | 0.204933i | ||||
\(682\) | 131.955 | + | 449.399i | 0.193483 | + | 0.658943i | ||||
\(683\) | 160.700 | − | 1117.70i | 0.235286 | − | 1.63645i | −0.439361 | − | 0.898311i | \(-0.644795\pi\) |
0.674647 | − | 0.738141i | \(-0.264296\pi\) | |||||||
\(684\) | −170.157 | − | 147.442i | −0.248767 | − | 0.215558i | ||||
\(685\) | −1337.25 | + | 859.398i | −1.95219 | + | 1.25460i | ||||
\(686\) | −145.404 | + | 125.993i | −0.211959 | + | 0.183663i | ||||
\(687\) | 41.4348 | − | 141.114i | 0.0603127 | − | 0.205406i | ||||
\(688\) | 576.540 | + | 263.297i | 0.837995 | + | 0.382699i | ||||
\(689\) | − | 598.775i | − | 0.869049i | ||||||
\(690\) | −81.7528 | − | 12.0563i | −0.118482 | − | 0.0174729i | ||||
\(691\) | −1216.59 | −1.76062 | −0.880312 | − | 0.474395i | \(-0.842667\pi\) | ||||
−0.880312 | + | 0.474395i | \(0.842667\pi\) | |||||||
\(692\) | 166.864 | − | 365.381i | 0.241133 | − | 0.528007i | ||||
\(693\) | 286.683 | + | 84.1778i | 0.413684 | + | 0.121469i | ||||
\(694\) | −126.927 | − | 146.481i | −0.182892 | − | 0.211068i | ||||
\(695\) | −133.772 | − | 208.153i | −0.192478 | − | 0.299501i | ||||
\(696\) | 93.1279 | − | 107.475i | 0.133804 | − | 0.154418i | ||||
\(697\) | 560.780 | + | 80.6280i | 0.804562 | + | 0.115679i | ||||
\(698\) | −296.278 | + | 86.9951i | −0.424467 | + | 0.124635i | ||||
\(699\) | 111.002 | + | 71.3369i | 0.158802 | + | 0.102056i | ||||
\(700\) | 125.543 | − | 18.0503i | 0.179347 | − | 0.0257861i | ||||
\(701\) | −740.635 | + | 338.237i | −1.05654 | + | 0.482506i | −0.866452 | − | 0.499261i | \(-0.833605\pi\) |
−0.190089 | + | 0.981767i | \(0.560878\pi\) | |||||||
\(702\) | 60.4739 | + | 132.419i | 0.0861452 | + | 0.188632i | ||||
\(703\) | 53.2302 | + | 370.224i | 0.0757186 | + | 0.526635i | ||||
\(704\) | −144.733 | + | 225.210i | −0.205587 | + | 0.319900i | ||||
\(705\) | −4.50207 | − | 15.3326i | −0.00638591 | − | 0.0217484i | ||||
\(706\) | −6.50220 | + | 45.2238i | −0.00920991 | + | 0.0640563i | ||||
\(707\) | −46.7231 | − | 40.4858i | −0.0660864 | − | 0.0572642i | ||||
\(708\) | −78.8438 | + | 50.6698i | −0.111361 | + | 0.0715675i | ||||
\(709\) | −213.119 | + | 184.669i | −0.300591 | + | 0.260463i | −0.792076 | − | 0.610423i | \(-0.791000\pi\) |
0.491485 | + | 0.870886i | \(0.336454\pi\) | |||||||
\(710\) | −30.2515 | + | 103.027i | −0.0426077 | + | 0.145109i | ||||
\(711\) | −650.525 | − | 297.085i | −0.914943 | − | 0.417841i | ||||
\(712\) | − | 205.554i | − | 0.288699i | ||||||
\(713\) | −1355.71 | + | 392.752i | −1.90142 | + | 0.550845i | ||||
\(714\) | 24.1780 | 0.0338627 | ||||||||
\(715\) | 396.001 | − | 867.121i | 0.553847 | − | 1.21276i | ||||
\(716\) | −424.222 | − | 124.563i | −0.592489 | − | 0.173971i | ||||
\(717\) | 44.4176 | + | 51.2606i | 0.0619492 | + | 0.0714932i | ||||
\(718\) | −161.011 | − | 250.538i | −0.224250 | − | 0.348939i | ||||
\(719\) | 691.121 | − | 797.596i | 0.961225 | − | 1.10931i | −0.0327229 | − | 0.999464i | \(-0.510418\pi\) |
0.993948 | − | 0.109849i | \(-0.0350367\pi\) | |||||||
\(720\) | −521.918 | − | 75.0405i | −0.724886 | − | 0.104223i | ||||
\(721\) | 224.114 | − | 65.8058i | 0.310838 | − | 0.0912701i | ||||
\(722\) | −172.157 | − | 110.639i | −0.238445 | − | 0.153239i | ||||
\(723\) | −243.417 | + | 34.9981i | −0.336676 | + | 0.0484067i | ||||
\(724\) | −872.425 | + | 398.423i | −1.20501 | + | 0.550308i | ||||
\(725\) | −145.219 | − | 317.985i | −0.200302 | − | 0.438600i | ||||
\(726\) | 0.437871 | + | 3.04546i | 0.000603128 | + | 0.00419485i | ||||
\(727\) | −137.632 | + | 214.159i | −0.189314 | + | 0.294579i | −0.922916 | − | 0.385000i | \(-0.874201\pi\) |
0.733602 | + | 0.679579i | \(0.237838\pi\) | |||||||
\(728\) | 65.9518 | + | 224.611i | 0.0905931 | + | 0.308532i | ||||
\(729\) | 53.9406 | − | 375.165i | 0.0739927 | − | 0.514630i | ||||
\(730\) | 250.655 | + | 217.194i | 0.343364 | + | 0.297526i | ||||
\(731\) | 624.452 | − | 401.311i | 0.854243 | − | 0.548989i | ||||
\(732\) | 223.849 | − | 193.966i | 0.305804 | − | 0.264981i | ||||
\(733\) | 286.471 | − | 975.629i | 0.390819 | − | 1.33101i | −0.495771 | − | 0.868453i | \(-0.665115\pi\) |
0.886590 | − | 0.462555i | \(-0.153067\pi\) | |||||||
\(734\) | −339.230 | − | 154.921i | −0.462166 | − | 0.211064i | ||||
\(735\) | 203.768i | 0.277235i | ||||||||
\(736\) | 535.527 | + | 346.906i | 0.727619 | + | 0.471340i | ||||
\(737\) | −371.780 | −0.504450 | ||||||||
\(738\) | 105.253 | − | 230.472i | 0.142619 | − | 0.312292i | ||||
\(739\) | 401.231 | + | 117.812i | 0.542937 | + | 0.159421i | 0.541690 | − | 0.840578i | \(-0.317785\pi\) |
0.00124741 | + | 0.999999i | \(0.499603\pi\) | |||||||
\(740\) | 672.914 | + | 776.584i | 0.909343 | + | 1.04944i | ||||
\(741\) | 52.0174 | + | 80.9406i | 0.0701989 | + | 0.109232i | ||||
\(742\) | −60.9929 | + | 70.3895i | −0.0822007 | + | 0.0948646i | ||||
\(743\) | −379.794 | − | 54.6062i | −0.511163 | − | 0.0734942i | −0.118093 | − | 0.993003i | \(-0.537678\pi\) |
−0.393070 | + | 0.919508i | \(0.628587\pi\) | |||||||
\(744\) | −265.488 | + | 77.9542i | −0.356838 | + | 0.104777i | ||||
\(745\) | 915.937 | + | 588.637i | 1.22945 | + | 0.790117i | ||||
\(746\) | 195.905 | − | 28.1669i | 0.262608 | − | 0.0377573i | ||||
\(747\) | 11.2869 | − | 5.15455i | 0.0151096 | − | 0.00690033i | ||||
\(748\) | 206.324 | + | 451.787i | 0.275835 | + | 0.603994i | ||||
\(749\) | −67.7369 | − | 471.121i | −0.0904365 | − | 0.628999i | ||||
\(750\) | 27.0327 | − | 42.0637i | 0.0360436 | − | 0.0560850i | ||||
\(751\) | 2.27775 | + | 7.75731i | 0.00303296 | + | 0.0103293i | 0.960996 | − | 0.276564i | \(-0.0891957\pi\) |
−0.957963 | + | 0.286893i | \(0.907378\pi\) | |||||||
\(752\) | −4.59025 | + | 31.9259i | −0.00610406 | + | 0.0424547i | ||||
\(753\) | 81.4118 | + | 70.5438i | 0.108117 | + | 0.0936836i | ||||
\(754\) | 254.764 | − | 163.727i | 0.337884 | − | 0.217145i | ||||
\(755\) | −108.479 | + | 93.9980i | −0.143681 | + | 0.124501i | ||||
\(756\) | −48.8812 | + | 166.474i | −0.0646577 | + | 0.220204i | ||||
\(757\) | −907.788 | − | 414.573i | −1.19919 | − | 0.547653i | −0.287204 | − | 0.957869i | \(-0.592726\pi\) |
−0.911988 | + | 0.410217i | \(0.865453\pi\) | |||||||
\(758\) | 62.8659i | 0.0829366i | ||||||||
\(759\) | −225.174 | + | 31.5441i | −0.296672 | + | 0.0415601i | ||||
\(760\) | 238.054 | 0.313229 | ||||||||
\(761\) | −354.156 | + | 775.494i | −0.465383 | + | 1.01905i | 0.520845 | + | 0.853652i | \(0.325617\pi\) |
−0.986227 | + | 0.165395i | \(0.947110\pi\) | |||||||
\(762\) | −23.0200 | − | 6.75930i | −0.0302100 | − | 0.00887047i | ||||
\(763\) | 106.609 | + | 123.034i | 0.139724 | + | 0.161250i | ||||
\(764\) | −148.528 | − | 231.114i | −0.194408 | − | 0.302505i | ||||
\(765\) | −404.392 | + | 466.693i | −0.528617 | + | 0.610056i | ||||
\(766\) | 243.050 | + | 34.9453i | 0.317297 | + | 0.0456205i | ||||
\(767\) | −407.988 | + | 119.796i | −0.531927 | + | 0.156188i | ||||
\(768\) | −6.61077 | − | 4.24848i | −0.00860777 | − | 0.00553188i | ||||
\(769\) | 191.624 | − | 27.5513i | 0.249185 | − | 0.0358275i | −0.0165902 | − | 0.999862i | \(-0.505281\pi\) |
0.265776 | + | 0.964035i | \(0.414372\pi\) | |||||||
\(770\) | −134.880 | + | 61.5975i | −0.175168 | + | 0.0799967i | ||||
\(771\) | −55.0106 | − | 120.456i | −0.0713497 | − | 0.156234i | ||||
\(772\) | 42.7282 | + | 297.181i | 0.0553474 | + | 0.384949i | ||||
\(773\) | 260.031 | − | 404.617i | 0.336392 | − | 0.523437i | −0.631311 | − | 0.775530i | \(-0.717483\pi\) |
0.967703 | + | 0.252093i | \(0.0811190\pi\) | |||||||
\(774\) | −93.5245 | − | 318.515i | −0.120833 | − | 0.411518i | ||||
\(775\) | −96.7971 | + | 673.239i | −0.124900 | + | 0.868695i | ||||
\(776\) | 110.935 | + | 96.1260i | 0.142958 | + | 0.123874i | ||||
\(777\) | 115.785 | − | 74.4105i | 0.149015 | − | 0.0957664i | ||||
\(778\) | 58.9151 | − | 51.0502i | 0.0757264 | − | 0.0656173i | ||||
\(779\) | 98.8005 | − | 336.484i | 0.126830 | − | 0.431943i | ||||
\(780\) | 240.441 | + | 109.806i | 0.308257 | + | 0.140776i | ||||
\(781\) | 295.443i | 0.378287i | ||||||||
\(782\) | 177.981 | − | 80.5044i | 0.227597 | − | 0.102947i | ||||
\(783\) | 478.202 | 0.610730 | ||||||||
\(784\) | 170.856 | − | 374.122i | 0.217928 | − | 0.477196i | ||||
\(785\) | 290.594 | + | 85.3262i | 0.370184 | + | 0.108696i | ||||
\(786\) | −28.7343 | − | 33.1612i | −0.0365577 | − | 0.0421898i | ||||
\(787\) | 280.746 | + | 436.849i | 0.356730 | + | 0.555082i | 0.972517 | − | 0.232830i | \(-0.0747986\pi\) |
−0.615788 | + | 0.787912i | \(0.711162\pi\) | |||||||
\(788\) | −494.826 | + | 571.059i | −0.627951 | + | 0.724694i | ||||
\(789\) | 442.625 | + | 63.6399i | 0.560995 | + | 0.0806589i | ||||
\(790\) | 340.534 | − | 99.9897i | 0.431055 | − | 0.126569i | ||||
\(791\) | −315.016 | − | 202.449i | −0.398251 | − | 0.255940i | ||||
\(792\) | 468.409 | − | 67.3471i | 0.591426 | − | 0.0850342i | ||||
\(793\) | 1222.38 | − | 558.244i | 1.54147 | − | 0.703965i | ||||
\(794\) | −7.78479 | − | 17.0463i | −0.00980452 | − | 0.0214689i | ||||
\(795\) | 31.8872 | + | 221.781i | 0.0401097 | + | 0.278969i | ||||
\(796\) | 26.4279 | − | 41.1226i | 0.0332009 | − | 0.0516616i | ||||
\(797\) | −111.392 | − | 379.367i | −0.139764 | − | 0.475993i | 0.859625 | − | 0.510925i | \(-0.170697\pi\) |
−0.999390 | + | 0.0349314i | \(0.988879\pi\) | |||||||
\(798\) | 2.12989 | − | 14.8137i | 0.00266903 | − | 0.0185635i | ||||
\(799\) | 28.5478 | + | 24.7368i | 0.0357294 | + | 0.0309597i | ||||
\(800\) | 258.666 | − | 166.235i | 0.323332 | − | 0.207793i | ||||
\(801\) | 249.441 | − | 216.142i | 0.311412 | − | 0.269840i | ||||
\(802\) | −83.4033 | + | 284.045i | −0.103994 | + | 0.354171i | ||||
\(803\) | 830.096 | + | 379.092i | 1.03374 | + | 0.472095i | ||||
\(804\) | − | 103.089i | − | 0.128221i | ||||||
\(805\) | −184.155 | − | 407.135i | −0.228764 | − | 0.505758i | ||||
\(806\) | −589.229 | −0.731053 | ||||||||
\(807\) | 34.5666 | − | 75.6904i | 0.0428335 | − | 0.0937923i | ||||
\(808\) | −93.9516 | − | 27.5867i | −0.116277 | − | 0.0341419i | ||||
\(809\) | −332.291 | − | 383.485i | −0.410743 | − | 0.474023i | 0.512251 | − | 0.858836i | \(-0.328812\pi\) |
−0.922995 | + | 0.384812i | \(0.874266\pi\) | |||||||
\(810\) | 133.919 | + | 208.382i | 0.165332 | + | 0.257261i | ||||
\(811\) | −120.437 | + | 138.991i | −0.148504 | + | 0.171382i | −0.825128 | − | 0.564946i | \(-0.808897\pi\) |
0.676624 | + | 0.736329i | \(0.263442\pi\) | |||||||
\(812\) | 357.263 | + | 51.3666i | 0.439979 | + | 0.0632594i | ||||
\(813\) | 224.617 | − | 65.9536i | 0.276282 | − | 0.0811237i | ||||
\(814\) | −310.419 | − | 199.494i | −0.381350 | − | 0.245079i | ||||
\(815\) | −173.195 | + | 24.9017i | −0.212509 | + | 0.0305542i | ||||
\(816\) | −106.791 | + | 48.7698i | −0.130871 | + | 0.0597669i | ||||
\(817\) | −190.871 | − | 417.950i | −0.233624 | − | 0.511566i | ||||
\(818\) | −2.91634 | − | 20.2836i | −0.00356521 | − | 0.0247966i | ||||
\(819\) | −203.218 | + | 316.214i | −0.248130 | + | 0.386097i | ||||
\(820\) | −271.432 | − | 924.413i | −0.331015 | − | 1.12733i | ||||
\(821\) | −128.915 | + | 896.625i | −0.157022 | + | 1.09211i | 0.747061 | + | 0.664756i | \(0.231464\pi\) |
−0.904083 | + | 0.427357i | \(0.859445\pi\) | |||||||
\(822\) | 119.620 | + | 103.651i | 0.145523 | + | 0.126096i | ||||
\(823\) | −961.796 | + | 618.109i | −1.16865 | + | 0.751043i | −0.973265 | − | 0.229684i | \(-0.926231\pi\) |
−0.195381 | + | 0.980727i | \(0.562594\pi\) | |||||||
\(824\) | 279.585 | − | 242.261i | 0.339302 | − | 0.294006i | ||||
\(825\) | −30.8687 | + | 105.129i | −0.0374167 | + | 0.127429i | ||||
\(826\) | 60.1642 | + | 27.4761i | 0.0728380 | + | 0.0332640i | ||||
\(827\) | 986.987i | 1.19345i | 0.802444 | + | 0.596727i | \(0.203533\pi\) | ||||
−0.802444 | + | 0.596727i | \(0.796467\pi\) | |||||||
\(828\) | 92.8631 | + | 662.892i | 0.112154 | + | 0.800594i | ||||
\(829\) | 703.717 | 0.848875 | 0.424437 | − | 0.905457i | \(-0.360472\pi\) | ||||
0.424437 | + | 0.905457i | \(0.360472\pi\) | |||||||
\(830\) | −2.55806 | + | 5.60137i | −0.00308200 | + | 0.00674864i | ||||
\(831\) | −49.0443 | − | 14.4007i | −0.0590184 | − | 0.0173294i | ||||
\(832\) | −220.548 | − | 254.526i | −0.265081 | − | 0.305920i | ||||
\(833\) | −260.414 | − | 405.212i | −0.312622 | − | 0.486449i | ||||
\(834\) | −16.1341 | + | 18.6198i | −0.0193455 | + | 0.0223259i | ||||
\(835\) | −1621.42 | − | 233.125i | −1.94182 | − | 0.279192i | ||||
\(836\) | 294.983 | − | 86.6147i | 0.352850 | − | 0.103606i | ||||
\(837\) | −782.726 | − | 503.028i | −0.935157 | − | 0.600989i | ||||
\(838\) | −218.447 | + | 31.4079i | −0.260676 | + | 0.0374796i | ||||
\(839\) | 1176.27 | − | 537.183i | 1.40199 | − | 0.640266i | 0.436259 | − | 0.899821i | \(-0.356303\pi\) |
0.965728 | + | 0.259555i | \(0.0835760\pi\) | |||||||
\(840\) | −36.3894 | − | 79.6817i | −0.0433207 | − | 0.0948592i | ||||
\(841\) | −21.8885 | − | 152.238i | −0.0260267 | − | 0.181020i | ||||
\(842\) | −122.198 | + | 190.144i | −0.145129 | + | 0.225825i | ||||
\(843\) | 6.11769 | + | 20.8349i | 0.00725705 | + | 0.0247152i | ||||
\(844\) | −41.9555 | + | 291.807i | −0.0497104 | + | 0.345743i | ||||
\(845\) | 139.111 | + | 120.540i | 0.164628 | + | 0.142651i | ||||
\(846\) | 14.2114 | − | 9.13313i | 0.0167984 | − | 0.0107957i | ||||
\(847\) | −12.5735 | + | 10.8950i | −0.0148448 | + | 0.0128631i | ||||
\(848\) | 127.414 | − | 433.931i | 0.150252 | − | 0.511711i | ||||
\(849\) | −319.564 | − | 145.940i | −0.376400 | − | 0.171896i | ||||
\(850\) | − | 94.1322i | − | 0.110744i | ||||||
\(851\) | 604.565 | − | 933.282i | 0.710418 | − | 1.09669i | ||||
\(852\) | −81.9222 | −0.0961528 | ||||||||
\(853\) | −293.079 | + | 641.754i | −0.343586 | + | 0.752349i | −0.999998 | − | 0.00205404i | \(-0.999346\pi\) |
0.656412 | + | 0.754403i | \(0.272073\pi\) | |||||||
\(854\) | −200.563 | − | 58.8906i | −0.234851 | − | 0.0689585i | ||||
\(855\) | 250.316 | + | 288.880i | 0.292767 | + | 0.337871i | ||||
\(856\) | −407.561 | − | 634.177i | −0.476122 | − | 0.740861i | ||||
\(857\) | −527.115 | + | 608.323i | −0.615070 | + | 0.709828i | −0.974763 | − | 0.223242i | \(-0.928336\pi\) |
0.359693 | + | 0.933071i | \(0.382881\pi\) | |||||||
\(858\) | −93.9529 | − | 13.5084i | −0.109502 | − | 0.0157440i | ||||
\(859\) | −40.3200 | + | 11.8390i | −0.0469383 | + | 0.0137823i | −0.305117 | − | 0.952315i | \(-0.598696\pi\) |
0.258179 | + | 0.966097i | \(0.416878\pi\) | |||||||
\(860\) | −1061.91 | − | 682.448i | −1.23478 | − | 0.793544i | ||||
\(861\) | −127.731 | + | 18.3650i | −0.148352 | + | 0.0213298i | ||||
\(862\) | −330.784 | + | 151.064i | −0.383740 | + | 0.175248i | ||||
\(863\) | 352.113 | + | 771.020i | 0.408010 | + | 0.893418i | 0.996395 | + | 0.0848368i | \(0.0270369\pi\) |
−0.588384 | + | 0.808581i | \(0.700236\pi\) | |||||||
\(864\) | 59.8595 | + | 416.332i | 0.0692819 | + | 0.481866i | ||||
\(865\) | −368.687 | + | 573.688i | −0.426228 | + | 0.663223i | ||||
\(866\) | −11.0692 | − | 37.6983i | −0.0127820 | − | 0.0435315i | ||||
\(867\) | 16.6342 | − | 115.694i | 0.0191860 | − | 0.133441i | ||||
\(868\) | −530.738 | − | 459.888i | −0.611450 | − | 0.529824i | ||||
\(869\) | 821.502 | − | 527.947i | 0.945341 | − | 0.607534i | ||||
\(870\) | −85.6433 | + | 74.2103i | −0.0984405 | + | 0.0852992i | ||||
\(871\) | 131.770 | − | 448.767i | 0.151286 | − | 0.515232i | ||||
\(872\) | 234.542 | + | 107.112i | 0.268970 | + | 0.122834i | ||||
\(873\) | 235.698i | 0.269986i | ||||||||
\(874\) | −33.6458 | − | 116.140i | −0.0384963 | − | 0.132883i | ||||
\(875\) | 270.374 | 0.308999 | ||||||||
\(876\) | −105.117 | + | 230.174i | −0.119997 | + | 0.262756i | ||||
\(877\) | −359.435 | − | 105.540i | −0.409846 | − | 0.120342i | 0.0703091 | − | 0.997525i | \(-0.477601\pi\) |
−0.480155 | + | 0.877184i | \(0.659420\pi\) | |||||||
\(878\) | 218.228 | + | 251.849i | 0.248551 | + | 0.286843i | ||||
\(879\) | 34.7570 | + | 54.0829i | 0.0395415 | + | 0.0615277i | ||||
\(880\) | 471.496 | − | 544.135i | 0.535791 | − | 0.618335i | ||||
\(881\) | 896.921 | + | 128.958i | 1.01807 | + | 0.146377i | 0.631089 | − | 0.775711i | \(-0.282608\pi\) |
0.386982 | + | 0.922087i | \(0.373517\pi\) | |||||||
\(882\) | −206.687 | + | 60.6889i | −0.234339 | + | 0.0688082i | ||||
\(883\) | −1453.42 | − | 934.059i | −1.64601 | − | 1.05782i | −0.935006 | − | 0.354633i | \(-0.884606\pi\) |
−0.711001 | − | 0.703191i | \(-0.751758\pi\) | |||||||
\(884\) | −618.470 | + | 88.9226i | −0.699627 | + | 0.100591i | ||||
\(885\) | 144.735 | − | 66.0984i | 0.163543 | − | 0.0746875i | ||||
\(886\) | −180.732 | − | 395.749i | −0.203987 | − | 0.446669i | ||||
\(887\) | −0.250172 | − | 1.73998i | −0.000282043 | − | 0.00196165i | 0.989680 | − | 0.143296i | \(-0.0457700\pi\) |
−0.989962 | + | 0.141334i | \(0.954861\pi\) | |||||||
\(888\) | 117.854 | − | 183.384i | 0.132718 | − | 0.206513i | ||||
\(889\) | −36.5498 | − | 124.477i | −0.0411134 | − | 0.140019i | ||||
\(890\) | −23.3110 | + | 162.132i | −0.0261921 | + | 0.182170i | ||||
\(891\) | 515.079 | + | 446.318i | 0.578091 | + | 0.500919i | ||||
\(892\) | 319.534 | − | 205.352i | 0.358222 | − | 0.230215i | ||||
\(893\) | 17.6709 | − | 15.3119i | 0.0197882 | − | 0.0171466i | ||||
\(894\) | 30.5432 | − | 104.021i | 0.0341647 | − | 0.116354i | ||||
\(895\) | 682.788 | + | 311.819i | 0.762892 | + | 0.348401i | ||||
\(896\) | 411.290i | 0.459029i | ||||||||
\(897\) | 41.7321 | − | 282.982i | 0.0465241 | − | 0.315476i | ||||
\(898\) | 387.837 | 0.431890 | ||||||||
\(899\) | −804.065 | + | 1760.66i | −0.894399 | + | 1.95846i | ||||
\(900\) | 309.491 | + | 90.8749i | 0.343879 | + | 0.100972i | ||||
\(901\) | −346.845 | − | 400.280i | −0.384956 | − | 0.444262i | ||||
\(902\) | 187.044 | + | 291.047i | 0.207366 | + | 0.322668i | ||||
\(903\) | −110.720 | + | 127.777i | −0.122613 | + | 0.141503i | ||||
\(904\) | −587.045 | − | 84.4043i | −0.649386 | − | 0.0933676i | ||||
\(905\) | 1562.33 | − | 458.741i | 1.72633 | − | 0.506896i | ||||
\(906\) | 12.0236 | + | 7.72712i | 0.0132711 | + | 0.00852884i | ||||
\(907\) | 691.604 | − | 99.4377i | 0.762518 | − | 0.109634i | 0.249925 | − | 0.968265i | \(-0.419594\pi\) |
0.512593 | + | 0.858632i | \(0.328685\pi\) | |||||||
\(908\) | 606.606 | − | 277.028i | 0.668068 | − | 0.305096i | ||||
\(909\) | −65.3144 | − | 143.019i | −0.0718530 | − | 0.157336i | ||||
\(910\) | −26.5475 | − | 184.642i | −0.0291731 | − | 0.202904i | ||||
\(911\) | −189.064 | + | 294.189i | −0.207534 | + | 0.322930i | −0.929380 | − | 0.369124i | \(-0.879658\pi\) |
0.721846 | + | 0.692054i | \(0.243294\pi\) | |||||||
\(912\) | 20.4735 | + | 69.7263i | 0.0224490 | + | 0.0764543i | ||||
\(913\) | −2.41125 | + | 16.7706i | −0.00264102 | + | 0.0183687i | ||||
\(914\) | 78.9687 | + | 68.4268i | 0.0863990 | + | 0.0748652i | ||||
\(915\) | −423.031 | + | 271.865i | −0.462329 | + | 0.297121i | ||||
\(916\) | 446.802 | − | 387.156i | 0.487775 | − | 0.422659i | ||||
\(917\) | 66.8457 | − | 227.656i | 0.0728961 | − | 0.248261i | ||||
\(918\) | 117.132 | + | 53.4923i | 0.127595 | + | 0.0582705i | ||||
\(919\) | 966.448i | 1.05163i | 0.850599 | + | 0.525815i | \(0.176240\pi\) | ||||
−0.850599 | + | 0.525815i | \(0.823760\pi\) | |||||||
\(920\) | −533.186 | − | 465.396i | −0.579550 | − | 0.505865i | ||||
\(921\) | 407.216 | 0.442145 | ||||||||
\(922\) | −82.7049 | + | 181.098i | −0.0897016 | + | 0.196419i | ||||
\(923\) | −356.622 | − | 104.714i | −0.386373 | − | 0.113449i | ||||
\(924\) | −74.0835 | − | 85.4969i | −0.0801769 | − | 0.0925291i | ||||
\(925\) | −289.703 | − | 450.786i | −0.313192 | − | 0.487336i | ||||
\(926\) | 140.110 | − | 161.696i | 0.151307 | − | 0.174617i | ||||
\(927\) | 587.972 | + | 84.5376i | 0.634274 | + | 0.0911948i | ||||
\(928\) | 839.558 | − | 246.517i | 0.904697 | − | 0.265643i | ||||
\(929\) | 451.608 | + | 290.231i | 0.486122 | + | 0.312412i | 0.760644 | − | 0.649169i | \(-0.224883\pi\) |
−0.274522 | + | 0.961581i | \(0.588520\pi\) | |||||||
\(930\) | 218.245 | − | 31.3789i | 0.234672 | − | 0.0337407i | ||||
\(931\) | −271.211 | + | 123.858i | −0.291312 | + | 0.133038i | ||||
\(932\) | 220.341 | + | 482.480i | 0.236418 | + | 0.517683i | ||||
\(933\) | −68.8901 | − | 479.141i | −0.0738372 | − | 0.513549i | ||||
\(934\) | 21.1950 | − | 32.9800i | 0.0226927 | − | 0.0353105i | ||||
\(935\) | −237.560 | − | 809.056i | −0.254075 | − | 0.865301i | ||||
\(936\) | −84.7252 | + | 589.276i | −0.0905183 | + | 0.629569i | ||||
\(937\) | 927.995 | + | 804.112i | 0.990390 | + | 0.858178i | 0.989892 | − | 0.141822i | \(-0.0452962\pi\) |
0.000497552 | 1.00000i | \(0.499842\pi\) | ||||||||
\(938\) | −61.2030 | + | 39.3328i | −0.0652484 | + | 0.0419326i | ||||
\(939\) | −84.7899 | + | 73.4709i | −0.0902981 | + | 0.0782437i | ||||
\(940\) | 18.0976 | − | 61.6347i | 0.0192527 | − | 0.0655688i | ||||
\(941\) | 169.343 | + | 77.3363i | 0.179961 | + | 0.0821852i | 0.503358 | − | 0.864078i | \(-0.332098\pi\) |
−0.323397 | + | 0.946263i | \(0.604825\pi\) | |||||||
\(942\) | − | 30.1568i | − | 0.0320136i | ||||||
\(943\) | −879.116 | + | 560.490i | −0.932254 | + | 0.594369i | ||||
\(944\) | −321.159 | −0.340211 | ||||||||
\(945\) | 122.365 | − | 267.941i | 0.129486 | − | 0.283535i | ||||
\(946\) | 434.924 | + | 127.705i | 0.459751 | + | 0.134995i | ||||
\(947\) | 450.639 | + | 520.065i | 0.475860 | + | 0.549171i | 0.942032 | − | 0.335523i | \(-0.108913\pi\) |
−0.466173 | + | 0.884694i | \(0.654367\pi\) | |||||||
\(948\) | 146.392 | + | 227.791i | 0.154422 | + | 0.240286i | ||||
\(949\) | −751.804 | + | 867.629i | −0.792207 | + | 0.914256i | ||||
\(950\) | −57.6742 | − | 8.29230i | −0.0607097 | − | 0.00872873i | ||||
\(951\) | 143.513 | − | 42.1393i | 0.150908 | − | 0.0443105i | ||||
\(952\) | 174.196 | + | 111.949i | 0.182980 | + | 0.117594i | ||||
\(953\) | −684.106 | + | 98.3596i | −0.717845 | + | 0.103211i | −0.491551 | − | 0.870849i | \(-0.663570\pi\) |
−0.226294 | + | 0.974059i | \(0.572661\pi\) | |||||||
\(954\) | −215.461 | + | 98.3977i | −0.225850 | + | 0.103142i | ||||
\(955\) | 193.753 | + | 424.261i | 0.202883 | + | 0.444252i | ||||
\(956\) | 38.8029 | + | 269.880i | 0.0405888 | + | 0.282302i | ||||
\(957\) | −168.573 | + | 262.304i | −0.176147 | + | 0.274090i | ||||
\(958\) | −98.9995 | − | 337.161i | −0.103340 | − | 0.351943i | ||||
\(959\) | −121.803 | + | 847.161i | −0.127011 | + | 0.883380i | ||||
\(960\) | 95.2434 | + | 82.5289i | 0.0992119 | + | 0.0859676i | ||||
\(961\) | 2359.72 | − | 1516.50i | 2.45548 | − | 1.57804i | ||||
\(962\) | 350.827 | − | 303.993i | 0.364685 | − | 0.316001i | ||||
\(963\) | 341.024 | − | 1161.42i | 0.354127 | − | 1.20604i | ||||
\(964\) | −899.225 | − | 410.662i | −0.932806 | − | 0.425998i | ||||
\(965\) | − | 509.721i | − | 0.528208i | ||||||
\(966\) | −33.7312 | + | 29.0153i | −0.0349185 | + | 0.0300366i | ||||
\(967\) | −1523.80 | −1.57580 | −0.787900 | − | 0.615803i | \(-0.788832\pi\) | ||||
−0.787900 | + | 0.615803i | \(0.788832\pi\) | |||||||
\(968\) | −10.9464 | + | 23.9692i | −0.0113082 | + | 0.0247616i | ||||
\(969\) | 81.6591 | + | 23.9773i | 0.0842715 | + | 0.0247444i | ||||
\(970\) | −76.5994 | − | 88.4004i | −0.0789685 | − | 0.0911345i | ||||
\(971\) | −472.031 | − | 734.495i | −0.486129 | − | 0.756431i | 0.508375 | − | 0.861136i | \(-0.330247\pi\) |
−0.994503 | + | 0.104705i | \(0.966610\pi\) | |||||||
\(972\) | −439.927 | + | 507.703i | −0.452600 | + | 0.522328i | ||||
\(973\) | −131.867 | − | 18.9597i | −0.135527 | − | 0.0194858i | ||||
\(974\) | 509.095 | − | 149.484i | 0.522684 | − | 0.153474i | ||||
\(975\) | −115.958 | − | 74.5220i | −0.118932 | − | 0.0764328i | ||||
\(976\) | 1004.65 | − | 144.447i | 1.02935 | − | 0.147999i | ||||
\(977\) | −847.493 | + | 387.037i | −0.867444 | + | 0.396148i | −0.798874 | − | 0.601498i | \(-0.794571\pi\) |
−0.0685698 | + | 0.997646i | \(0.521844\pi\) | |||||||
\(978\) | 7.23769 | + | 15.8483i | 0.00740050 | + | 0.0162048i | ||||
\(979\) | 64.1393 | + | 446.098i | 0.0655151 | + | 0.455668i | ||||
\(980\) | −442.846 | + | 689.082i | −0.451884 | + | 0.703145i | ||||
\(981\) | 116.642 | + | 397.247i | 0.118901 | + | 0.404941i | ||||
\(982\) | 51.4456 | − | 357.812i | 0.0523886 | − | 0.364371i | ||||
\(983\) | −733.929 | − | 635.953i | −0.746622 | − | 0.646951i | 0.196080 | − | 0.980588i | \(-0.437179\pi\) |
−0.942702 | + | 0.333636i | \(0.891724\pi\) | |||||||
\(984\) | −171.939 | + | 110.499i | −0.174735 | + | 0.112295i | ||||
\(985\) | 969.504 | − | 840.080i | 0.984268 | − | 0.852873i | ||||
\(986\) | 75.4696 | − | 257.026i | 0.0765412 | − | 0.260675i | ||||
\(987\) | −7.82644 | − | 3.57421i | −0.00792952 | − | 0.00362129i | ||||
\(988\) | 386.766i | 0.391464i | ||||||||
\(989\) | −389.585 | + | 1309.26i | −0.393918 | + | 1.32383i | ||||
\(990\) | −377.097 | −0.380906 | ||||||||
\(991\) | 526.748 | − | 1153.42i | 0.531532 | − | 1.16389i | −0.433354 | − | 0.901224i | \(-0.642670\pi\) |
0.964886 | − | 0.262669i | \(-0.0846027\pi\) | |||||||
\(992\) | −1633.51 | − | 479.643i | −1.64669 | − | 0.483511i | ||||
\(993\) | −256.291 | − | 295.775i | −0.258098 | − | 0.297860i | ||||
\(994\) | 31.2566 | + | 48.6363i | 0.0314453 | + | 0.0489298i | ||||
\(995\) | −54.3464 | + | 62.7191i | −0.0546195 | + | 0.0630343i | ||||
\(996\) | −4.65026 | − | 0.668606i | −0.00466893 | − | 0.000671291i | ||||
\(997\) | −883.309 | + | 259.363i | −0.885967 | + | 0.260143i | −0.692892 | − | 0.721041i | \(-0.743664\pi\) |
−0.193074 | + | 0.981184i | \(0.561846\pi\) | |||||||
\(998\) | 245.444 | + | 157.737i | 0.245936 | + | 0.158053i | ||||
\(999\) | 725.556 | − | 104.319i | 0.726283 | − | 0.104424i |
(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 | 23.3.d.a.17.2 | ✓ | 30 | |
3.2 | odd | 2 | 207.3.j.a.109.2 | 30 | |||
4.3 | odd | 2 | 368.3.p.a.17.1 | 30 | |||
23.2 | even | 11 | 529.3.b.b.528.13 | 30 | |||
23.19 | odd | 22 | inner | 23.3.d.a.19.2 | yes | 30 | |
23.21 | odd | 22 | 529.3.b.b.528.14 | 30 | |||
69.65 | even | 22 | 207.3.j.a.19.2 | 30 | |||
92.19 | even | 22 | 368.3.p.a.65.1 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.3.d.a.17.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
23.3.d.a.19.2 | yes | 30 | 23.19 | odd | 22 | inner | |
207.3.j.a.19.2 | 30 | 69.65 | even | 22 | |||
207.3.j.a.109.2 | 30 | 3.2 | odd | 2 | |||
368.3.p.a.17.1 | 30 | 4.3 | odd | 2 | |||
368.3.p.a.65.1 | 30 | 92.19 | even | 22 | |||
529.3.b.b.528.13 | 30 | 23.2 | even | 11 | |||
529.3.b.b.528.14 | 30 | 23.21 | odd | 22 |