Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,4,Mod(59,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.59");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.m (of order \(2\), degree \(1\), 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: | \(7.08022920069\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.7 | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.4.m.b.59.6 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.73183 | + | 0.732884i | −0.965847 | + | 0.259114i | ||||
\(3\) | −2.64167 | − | 4.47455i | −0.508390 | − | 0.861127i | ||||
\(4\) | 6.92576 | − | 4.00422i | 0.865720 | − | 0.500528i | ||||
\(5\) | 10.4671 | + | 3.92924i | 0.936210 | + | 0.351442i | ||||
\(6\) | 10.4959 | + | 10.2877i | 0.714156 | + | 0.699986i | ||||
\(7\) | 4.10158 | 0.221464 | 0.110732 | − | 0.993850i | \(-0.464680\pi\) | ||||
0.110732 | + | 0.993850i | \(0.464680\pi\) | |||||||
\(8\) | −15.9854 | + | 16.0146i | −0.706460 | + | 0.707753i | ||||
\(9\) | −13.0432 | + | 23.6406i | −0.483080 | + | 0.875576i | ||||
\(10\) | −31.4741 | − | 3.06281i | −0.995299 | − | 0.0968547i | ||||
\(11\) | − | 5.96978i | − | 0.163632i | −0.996647 | − | 0.0818162i | \(-0.973928\pi\) | ||
0.996647 | − | 0.0818162i | \(-0.0260720\pi\) | |||||||
\(12\) | −36.2127 | − | 20.4118i | −0.871142 | − | 0.491032i | ||||
\(13\) | 33.0570 | 0.705259 | 0.352630 | − | 0.935763i | \(-0.385288\pi\) | ||||
0.352630 | + | 0.935763i | \(0.385288\pi\) | |||||||
\(14\) | −11.2048 | + | 3.00598i | −0.213901 | + | 0.0573844i | ||||
\(15\) | −10.0691 | − | 57.2155i | −0.173323 | − | 0.984865i | ||||
\(16\) | 31.9324 | − | 55.4646i | 0.498943 | − | 0.866635i | ||||
\(17\) | 50.6136 | 0.722095 | 0.361047 | − | 0.932547i | \(-0.382419\pi\) | ||||
0.361047 | + | 0.932547i | \(0.382419\pi\) | |||||||
\(18\) | 18.3059 | − | 74.1410i | 0.239708 | − | 0.970845i | ||||
\(19\) | 74.1386 | 0.895188 | 0.447594 | − | 0.894237i | \(-0.352281\pi\) | ||||
0.447594 | + | 0.894237i | \(0.352281\pi\) | |||||||
\(20\) | 88.2265 | − | 14.6998i | 0.986402 | − | 0.164349i | ||||
\(21\) | −10.8350 | − | 18.3527i | −0.112590 | − | 0.190709i | ||||
\(22\) | 4.37515 | + | 16.3084i | 0.0423994 | + | 0.158044i | ||||
\(23\) | − | 184.927i | − | 1.67652i | −0.545273 | − | 0.838259i | \(-0.683574\pi\) | ||
0.545273 | − | 0.838259i | \(-0.316426\pi\) | |||||||
\(24\) | 113.886 | + | 29.2219i | 0.968622 | + | 0.248537i | ||||
\(25\) | 94.1221 | + | 82.2559i | 0.752977 | + | 0.658047i | ||||
\(26\) | −90.3061 | + | 24.2270i | −0.681173 | + | 0.182742i | ||||
\(27\) | 140.237 | − | 4.08828i | 0.999575 | − | 0.0291404i | ||||
\(28\) | 28.4065 | − | 16.4236i | 0.191726 | − | 0.110849i | ||||
\(29\) | −98.3905 | −0.630023 | −0.315011 | − | 0.949088i | \(-0.602008\pi\) | ||||
−0.315011 | + | 0.949088i | \(0.602008\pi\) | |||||||
\(30\) | 69.4395 | + | 148.923i | 0.422595 | + | 0.906319i | ||||
\(31\) | − | 192.624i | − | 1.11601i | −0.829838 | − | 0.558004i | \(-0.811567\pi\) | ||
0.829838 | − | 0.558004i | \(-0.188433\pi\) | |||||||
\(32\) | −46.5846 | + | 174.922i | −0.257346 | + | 0.966319i | ||||
\(33\) | −26.7121 | + | 15.7702i | −0.140908 | + | 0.0831890i | ||||
\(34\) | −138.268 | + | 37.0939i | −0.697433 | + | 0.187105i | ||||
\(35\) | 42.9318 | + | 16.1161i | 0.207337 | + | 0.0778319i | ||||
\(36\) | 4.32825 | + | 215.957i | 0.0200382 | + | 0.999799i | ||||
\(37\) | 350.946 | 1.55933 | 0.779665 | − | 0.626196i | \(-0.215389\pi\) | ||||
0.779665 | + | 0.626196i | \(0.215389\pi\) | |||||||
\(38\) | −202.534 | + | 54.3350i | −0.864614 | + | 0.231955i | ||||
\(39\) | −87.3258 | − | 147.915i | −0.358547 | − | 0.607318i | ||||
\(40\) | −230.246 | + | 104.817i | −0.910129 | + | 0.414326i | ||||
\(41\) | − | 292.535i | − | 1.11430i | −0.830412 | − | 0.557150i | \(-0.811895\pi\) | ||
0.830412 | − | 0.557150i | \(-0.188105\pi\) | |||||||
\(42\) | 43.0498 | + | 42.1956i | 0.158160 | + | 0.155022i | ||||
\(43\) | 80.8246i | 0.286643i | 0.989676 | + | 0.143321i | \(0.0457782\pi\) | ||||
−0.989676 | + | 0.143321i | \(0.954222\pi\) | |||||||
\(44\) | −23.9043 | − | 41.3453i | −0.0819026 | − | 0.141660i | ||||
\(45\) | −229.414 | + | 196.199i | −0.759979 | + | 0.649948i | ||||
\(46\) | 135.530 | + | 505.188i | 0.434408 | + | 1.61926i | ||||
\(47\) | − | 63.1702i | − | 0.196049i | −0.995184 | − | 0.0980246i | \(-0.968748\pi\) | ||
0.995184 | − | 0.0980246i | \(-0.0312524\pi\) | |||||||
\(48\) | −332.534 | + | 3.63627i | −0.999940 | + | 0.0109344i | ||||
\(49\) | −326.177 | −0.950954 | ||||||||
\(50\) | −317.409 | − | 155.728i | −0.897769 | − | 0.440466i | ||||
\(51\) | −133.705 | − | 226.473i | −0.367105 | − | 0.621815i | ||||
\(52\) | 228.945 | − | 132.368i | 0.610557 | − | 0.353002i | ||||
\(53\) | − | 178.821i | − | 0.463453i | −0.972781 | − | 0.231726i | \(-0.925563\pi\) | ||
0.972781 | − | 0.231726i | \(-0.0744374\pi\) | |||||||
\(54\) | −380.106 | + | 113.946i | −0.957886 | + | 0.287149i | ||||
\(55\) | 23.4567 | − | 62.4865i | 0.0575073 | − | 0.153194i | ||||
\(56\) | −65.5652 | + | 65.6852i | −0.156456 | + | 0.156742i | ||||
\(57\) | −195.850 | − | 331.737i | −0.455104 | − | 0.770871i | ||||
\(58\) | 268.786 | − | 72.1088i | 0.608506 | − | 0.163247i | ||||
\(59\) | 479.870i | 1.05888i | 0.848348 | + | 0.529439i | \(0.177598\pi\) | ||||
−0.848348 | + | 0.529439i | \(0.822402\pi\) | |||||||
\(60\) | −298.840 | − | 355.942i | −0.643002 | − | 0.765865i | ||||
\(61\) | 635.627i | 1.33416i | 0.744986 | + | 0.667080i | \(0.232456\pi\) | ||||
−0.744986 | + | 0.667080i | \(0.767544\pi\) | |||||||
\(62\) | 141.171 | + | 526.215i | 0.289173 | + | 1.07789i | ||||
\(63\) | −53.4975 | + | 96.9635i | −0.106985 | + | 0.193909i | ||||
\(64\) | −0.936778 | − | 511.999i | −0.00182965 | − | 0.999998i | ||||
\(65\) | 346.013 | + | 129.889i | 0.660271 | + | 0.247858i | ||||
\(66\) | 61.4150 | − | 62.6582i | 0.114540 | − | 0.116859i | ||||
\(67\) | 288.505i | 0.526067i | 0.964787 | + | 0.263033i | \(0.0847229\pi\) | ||||
−0.964787 | + | 0.263033i | \(0.915277\pi\) | |||||||
\(68\) | 350.538 | − | 202.668i | 0.625132 | − | 0.361429i | ||||
\(69\) | −827.464 | + | 488.515i | −1.44369 | + | 0.852324i | ||||
\(70\) | −129.093 | − | 12.5624i | −0.220423 | − | 0.0214499i | ||||
\(71\) | 1062.20 | 1.77549 | 0.887743 | − | 0.460340i | \(-0.152273\pi\) | ||||
0.887743 | + | 0.460340i | \(0.152273\pi\) | |||||||
\(72\) | −170.095 | − | 586.784i | −0.278415 | − | 0.960461i | ||||
\(73\) | 980.889i | 1.57266i | 0.617805 | + | 0.786332i | \(0.288022\pi\) | ||||
−0.617805 | + | 0.786332i | \(0.711978\pi\) | |||||||
\(74\) | −958.725 | + | 257.203i | −1.50607 | + | 0.404044i | ||||
\(75\) | 119.418 | − | 638.447i | 0.183857 | − | 0.982953i | ||||
\(76\) | 513.467 | − | 296.868i | 0.774982 | − | 0.448067i | ||||
\(77\) | − | 24.4855i | − | 0.0362387i | ||||||
\(78\) | 346.964 | + | 340.079i | 0.503665 | + | 0.493672i | ||||
\(79\) | − | 804.239i | − | 1.14537i | −0.819777 | − | 0.572683i | \(-0.805903\pi\) | ||
0.819777 | − | 0.572683i | \(-0.194097\pi\) | |||||||
\(80\) | 552.175 | − | 455.086i | 0.771687 | − | 0.636002i | ||||
\(81\) | −388.752 | − | 616.695i | −0.533267 | − | 0.845947i | ||||
\(82\) | 214.394 | + | 799.156i | 0.288730 | + | 1.07624i | ||||
\(83\) | −300.045 | −0.396798 | −0.198399 | − | 0.980121i | \(-0.563574\pi\) | ||||
−0.198399 | + | 0.980121i | \(0.563574\pi\) | |||||||
\(84\) | −148.529 | − | 83.7206i | −0.192927 | − | 0.108746i | ||||
\(85\) | 529.780 | + | 198.873i | 0.676032 | + | 0.253775i | ||||
\(86\) | −59.2350 | − | 220.799i | −0.0742730 | − | 0.276853i | ||||
\(87\) | 259.915 | + | 440.253i | 0.320297 | + | 0.542530i | ||||
\(88\) | 95.6038 | + | 95.4290i | 0.115811 | + | 0.115600i | ||||
\(89\) | 1112.49i | 1.32499i | 0.749066 | + | 0.662495i | \(0.230502\pi\) | ||||
−0.749066 | + | 0.662495i | \(0.769498\pi\) | |||||||
\(90\) | 482.928 | − | 704.117i | 0.565613 | − | 0.824671i | ||||
\(91\) | 135.586 | 0.156190 | ||||||||
\(92\) | −740.488 | − | 1280.76i | −0.839144 | − | 1.45139i | ||||
\(93\) | −861.905 | + | 508.849i | −0.961026 | + | 0.567367i | ||||
\(94\) | 46.2964 | + | 172.570i | 0.0507990 | + | 0.189354i | ||||
\(95\) | 776.020 | + | 291.309i | 0.838083 | + | 0.314607i | ||||
\(96\) | 905.760 | − | 253.642i | 0.962956 | − | 0.269659i | ||||
\(97\) | − | 1217.88i | − | 1.27481i | −0.770529 | − | 0.637405i | \(-0.780008\pi\) | ||
0.770529 | − | 0.637405i | \(-0.219992\pi\) | |||||||
\(98\) | 891.059 | − | 239.050i | 0.918476 | − | 0.246405i | ||||
\(99\) | 141.129 | + | 77.8648i | 0.143273 | + | 0.0790475i | ||||
\(100\) | 981.238 | + | 192.799i | 0.981238 | + | 0.192799i | ||||
\(101\) | 461.131 | 0.454300 | 0.227150 | − | 0.973860i | \(-0.427059\pi\) | ||||
0.227150 | + | 0.973860i | \(0.427059\pi\) | |||||||
\(102\) | 531.236 | + | 520.696i | 0.515688 | + | 0.505456i | ||||
\(103\) | −1363.74 | −1.30460 | −0.652299 | − | 0.757962i | \(-0.726195\pi\) | ||||
−0.652299 | + | 0.757962i | \(0.726195\pi\) | |||||||
\(104\) | −528.428 | + | 529.396i | −0.498237 | + | 0.499150i | ||||
\(105\) | −41.2994 | − | 234.674i | −0.0383848 | − | 0.218112i | ||||
\(106\) | 131.055 | + | 488.509i | 0.120087 | + | 0.447624i | ||||
\(107\) | 626.784 | 0.566295 | 0.283147 | − | 0.959076i | \(-0.408621\pi\) | ||||
0.283147 | + | 0.959076i | \(0.408621\pi\) | |||||||
\(108\) | 954.875 | − | 589.853i | 0.850767 | − | 0.525543i | ||||
\(109\) | − | 472.473i | − | 0.415181i | −0.978216 | − | 0.207590i | \(-0.933438\pi\) | ||
0.978216 | − | 0.207590i | \(-0.0665621\pi\) | |||||||
\(110\) | −18.2843 | + | 187.893i | −0.0158486 | + | 0.162863i | ||||
\(111\) | −927.084 | − | 1570.33i | −0.792747 | − | 1.34278i | ||||
\(112\) | 130.973 | − | 227.492i | 0.110498 | − | 0.191929i | ||||
\(113\) | −507.424 | −0.422429 | −0.211214 | − | 0.977440i | \(-0.567742\pi\) | ||||
−0.211214 | + | 0.977440i | \(0.567742\pi\) | |||||||
\(114\) | 778.152 | + | 762.713i | 0.639304 | + | 0.626619i | ||||
\(115\) | 726.622 | − | 1935.65i | 0.589199 | − | 1.56957i | ||||
\(116\) | −681.429 | + | 393.978i | −0.545424 | + | 0.315344i | ||||
\(117\) | −431.168 | + | 781.487i | −0.340697 | + | 0.617508i | ||||
\(118\) | −351.689 | − | 1310.92i | −0.274370 | − | 1.02271i | ||||
\(119\) | 207.596 | 0.159918 | ||||||||
\(120\) | 1077.24 | + | 753.356i | 0.819487 | + | 0.573098i | ||||
\(121\) | 1295.36 | 0.973224 | ||||||||
\(122\) | −465.841 | − | 1736.42i | −0.345699 | − | 1.28859i | ||||
\(123\) | −1308.96 | + | 772.781i | −0.959555 | + | 0.566499i | ||||
\(124\) | −771.309 | − | 1334.07i | −0.558594 | − | 0.966152i | ||||
\(125\) | 661.986 | + | 1230.81i | 0.473679 | + | 0.880698i | ||||
\(126\) | 75.0830 | − | 304.095i | 0.0530867 | − | 0.215008i | ||||
\(127\) | −2049.23 | −1.43181 | −0.715903 | − | 0.698199i | \(-0.753985\pi\) | ||||
−0.715903 | + | 0.698199i | \(0.753985\pi\) | |||||||
\(128\) | 377.795 | + | 1398.01i | 0.260880 | + | 0.965371i | ||||
\(129\) | 361.654 | − | 213.512i | 0.246836 | − | 0.145726i | ||||
\(130\) | −1040.44 | − | 101.248i | −0.701944 | − | 0.0683077i | ||||
\(131\) | 1677.53i | 1.11883i | 0.828888 | + | 0.559415i | \(0.188974\pi\) | ||||
−0.828888 | + | 0.559415i | \(0.811026\pi\) | |||||||
\(132\) | −121.854 | + | 216.182i | −0.0803487 | + | 0.142547i | ||||
\(133\) | 304.085 | 0.198252 | ||||||||
\(134\) | −211.440 | − | 788.145i | −0.136311 | − | 0.508100i | ||||
\(135\) | 1483.94 | + | 508.231i | 0.946053 | + | 0.324011i | ||||
\(136\) | −809.077 | + | 810.559i | −0.510131 | + | 0.511065i | ||||
\(137\) | −1839.77 | −1.14731 | −0.573657 | − | 0.819096i | \(-0.694476\pi\) | ||||
−0.573657 | + | 0.819096i | \(0.694476\pi\) | |||||||
\(138\) | 1902.46 | − | 1940.97i | 1.17354 | − | 1.19730i | ||||
\(139\) | −1598.25 | −0.975264 | −0.487632 | − | 0.873049i | \(-0.662139\pi\) | ||||
−0.487632 | + | 0.873049i | \(0.662139\pi\) | |||||||
\(140\) | 361.868 | − | 60.2923i | 0.218453 | − | 0.0363973i | ||||
\(141\) | −282.658 | + | 166.875i | −0.168823 | + | 0.0996694i | ||||
\(142\) | −2901.74 | + | 778.466i | −1.71485 | + | 0.460052i | ||||
\(143\) | − | 197.343i | − | 0.115403i | ||||||
\(144\) | 894.715 | + | 1478.33i | 0.517775 | + | 0.855517i | ||||
\(145\) | −1029.87 | − | 386.600i | −0.589833 | − | 0.221417i | ||||
\(146\) | −718.878 | − | 2679.62i | −0.407498 | − | 1.51895i | ||||
\(147\) | 861.652 | + | 1459.50i | 0.483455 | + | 0.818892i | ||||
\(148\) | 2430.57 | − | 1405.27i | 1.34994 | − | 0.780489i | ||||
\(149\) | 533.530 | 0.293346 | 0.146673 | − | 0.989185i | \(-0.453144\pi\) | ||||
0.146673 | + | 0.989185i | \(0.453144\pi\) | |||||||
\(150\) | 141.677 | + | 1831.65i | 0.0771191 | + | 0.997022i | ||||
\(151\) | 3056.41i | 1.64720i | 0.567173 | + | 0.823599i | \(0.308037\pi\) | ||||
−0.567173 | + | 0.823599i | \(0.691963\pi\) | |||||||
\(152\) | −1185.13 | + | 1187.30i | −0.632414 | + | 0.633572i | ||||
\(153\) | −660.162 | + | 1196.53i | −0.348830 | + | 0.632249i | ||||
\(154\) | 17.9450 | + | 66.8901i | 0.00938994 | + | 0.0350011i | ||||
\(155\) | 756.866 | − | 2016.22i | 0.392213 | − | 1.04482i | ||||
\(156\) | −1197.08 | − | 674.754i | −0.614381 | − | 0.346305i | ||||
\(157\) | 1429.75 | 0.726794 | 0.363397 | − | 0.931634i | \(-0.381617\pi\) | ||||
0.363397 | + | 0.931634i | \(0.381617\pi\) | |||||||
\(158\) | 589.414 | + | 2197.04i | 0.296780 | + | 1.10625i | ||||
\(159\) | −800.145 | + | 472.387i | −0.399092 | + | 0.235615i | ||||
\(160\) | −1174.92 | + | 1647.90i | −0.580535 | + | 0.814235i | ||||
\(161\) | − | 758.491i | − | 0.371289i | ||||||
\(162\) | 1513.97 | + | 1399.80i | 0.734251 | + | 0.678878i | ||||
\(163\) | 600.115i | 0.288372i | 0.989551 | + | 0.144186i | \(0.0460564\pi\) | ||||
−0.989551 | + | 0.144186i | \(0.953944\pi\) | |||||||
\(164\) | −1171.38 | − | 2026.03i | −0.557739 | − | 0.964673i | ||||
\(165\) | −341.564 | + | 60.1105i | −0.161156 | + | 0.0283612i | ||||
\(166\) | 819.671 | − | 219.898i | 0.383246 | − | 0.102816i | ||||
\(167\) | − | 1087.44i | − | 0.503883i | −0.967742 | − | 0.251942i | \(-0.918931\pi\) | ||
0.967742 | − | 0.251942i | \(-0.0810691\pi\) | |||||||
\(168\) | 467.113 | + | 119.856i | 0.214515 | + | 0.0550421i | ||||
\(169\) | −1104.23 | −0.502609 | ||||||||
\(170\) | −1593.02 | − | 155.020i | −0.718700 | − | 0.0699383i | ||||
\(171\) | −967.002 | + | 1752.68i | −0.432447 | + | 0.783805i | ||||
\(172\) | 323.640 | + | 559.772i | 0.143473 | + | 0.248152i | ||||
\(173\) | − | 374.343i | − | 0.164513i | −0.996611 | − | 0.0822567i | \(-0.973787\pi\) | ||
0.996611 | − | 0.0822567i | \(-0.0262127\pi\) | |||||||
\(174\) | −1032.70 | − | 1012.21i | −0.449935 | − | 0.441007i | ||||
\(175\) | 386.049 | + | 337.379i | 0.166757 | + | 0.145734i | ||||
\(176\) | −331.111 | − | 190.629i | −0.141809 | − | 0.0816433i | ||||
\(177\) | 2147.20 | − | 1267.66i | 0.911829 | − | 0.538322i | ||||
\(178\) | −815.329 | − | 3039.14i | −0.343323 | − | 1.27974i | ||||
\(179\) | − | 1886.45i | − | 0.787708i | −0.919173 | − | 0.393854i | \(-0.871142\pi\) | ||
0.919173 | − | 0.393854i | \(-0.128858\pi\) | |||||||
\(180\) | −803.242 | + | 2277.46i | −0.332612 | + | 0.943064i | ||||
\(181\) | − | 986.271i | − | 0.405022i | −0.979280 | − | 0.202511i | \(-0.935090\pi\) | ||
0.979280 | − | 0.202511i | \(-0.0649101\pi\) | |||||||
\(182\) | −370.397 | + | 99.3688i | −0.150855 | + | 0.0404709i | ||||
\(183\) | 2844.15 | − | 1679.12i | 1.14888 | − | 0.678273i | ||||
\(184\) | 2961.53 | + | 2956.12i | 1.18656 | + | 1.18439i | ||||
\(185\) | 3673.41 | + | 1378.95i | 1.45986 | + | 0.548015i | ||||
\(186\) | 1981.65 | − | 2021.76i | 0.781191 | − | 0.797005i | ||||
\(187\) | − | 302.152i | − | 0.118158i | ||||||
\(188\) | −252.947 | − | 437.501i | −0.0981281 | − | 0.169724i | ||||
\(189\) | 575.191 | − | 16.7684i | 0.221370 | − | 0.00645355i | ||||
\(190\) | −2333.45 | − | 227.073i | −0.890979 | − | 0.0867031i | ||||
\(191\) | −3513.46 | −1.33102 | −0.665510 | − | 0.746389i | \(-0.731786\pi\) | ||||
−0.665510 | + | 0.746389i | \(0.731786\pi\) | |||||||
\(192\) | −2288.49 | + | 1356.72i | −0.860196 | + | 0.509964i | ||||
\(193\) | 3049.07i | 1.13719i | 0.822619 | + | 0.568593i | \(0.192512\pi\) | ||||
−0.822619 | + | 0.568593i | \(0.807488\pi\) | |||||||
\(194\) | 892.561 | + | 3327.02i | 0.330320 | + | 1.23127i | ||||
\(195\) | −332.856 | − | 1891.37i | −0.122238 | − | 0.694585i | ||||
\(196\) | −2259.02 | + | 1306.09i | −0.823260 | + | 0.475979i | ||||
\(197\) | − | 3893.24i | − | 1.40803i | −0.710186 | − | 0.704014i | \(-0.751389\pi\) | ||
0.710186 | − | 0.704014i | \(-0.248611\pi\) | |||||||
\(198\) | −442.606 | − | 109.282i | −0.158862 | − | 0.0392239i | ||||
\(199\) | 2888.21i | 1.02884i | 0.857537 | + | 0.514422i | \(0.171994\pi\) | ||||
−0.857537 | + | 0.514422i | \(0.828006\pi\) | |||||||
\(200\) | −2821.87 | + | 192.441i | −0.997683 | + | 0.0680382i | ||||
\(201\) | 1290.93 | − | 762.134i | 0.453010 | − | 0.267447i | ||||
\(202\) | −1259.73 | + | 337.956i | −0.438784 | + | 0.117715i | ||||
\(203\) | −403.556 | −0.139528 | ||||||||
\(204\) | −1832.86 | − | 1033.12i | −0.629047 | − | 0.354572i | ||||
\(205\) | 1149.44 | − | 3062.01i | 0.391612 | − | 1.04322i | ||||
\(206\) | 3725.51 | − | 999.466i | 1.26004 | − | 0.338039i | ||||
\(207\) | 4371.77 | + | 2412.03i | 1.46792 | + | 0.809892i | ||||
\(208\) | 1055.59 | − | 1833.50i | 0.351884 | − | 0.611202i | ||||
\(209\) | − | 442.591i | − | 0.146482i | ||||||
\(210\) | 284.811 | + | 610.820i | 0.0935897 | + | 0.200717i | ||||
\(211\) | −1800.81 | −0.587550 | −0.293775 | − | 0.955875i | \(-0.594912\pi\) | ||||
−0.293775 | + | 0.955875i | \(0.594912\pi\) | |||||||
\(212\) | −716.041 | − | 1238.47i | −0.231971 | − | 0.401220i | ||||
\(213\) | −2805.97 | − | 4752.85i | −0.902638 | − | 1.52892i | ||||
\(214\) | −1712.27 | + | 459.360i | −0.546954 | + | 0.146735i | ||||
\(215\) | −317.579 | + | 846.003i | −0.100738 | + | 0.268358i | ||||
\(216\) | −2176.26 | + | 2311.19i | −0.685535 | + | 0.728039i | ||||
\(217\) | − | 790.062i | − | 0.247156i | ||||||
\(218\) | 346.268 | + | 1290.71i | 0.107579 | + | 0.401001i | ||||
\(219\) | 4389.04 | − | 2591.19i | 1.35426 | − | 0.799526i | ||||
\(220\) | −87.7544 | − | 526.693i | −0.0268927 | − | 0.161407i | ||||
\(221\) | 1673.14 | 0.509264 | ||||||||
\(222\) | 3683.50 | + | 3610.42i | 1.11361 | + | 1.09151i | ||||
\(223\) | −3394.93 | −1.01947 | −0.509734 | − | 0.860332i | \(-0.670256\pi\) | ||||
−0.509734 | + | 0.860332i | \(0.670256\pi\) | |||||||
\(224\) | −191.070 | + | 717.458i | −0.0569929 | + | 0.214005i | ||||
\(225\) | −3172.22 | + | 1152.22i | −0.939918 | + | 0.341399i | ||||
\(226\) | 1386.19 | − | 371.883i | 0.408001 | − | 0.109457i | ||||
\(227\) | −1666.84 | −0.487366 | −0.243683 | − | 0.969855i | \(-0.578356\pi\) | ||||
−0.243683 | + | 0.969855i | \(0.578356\pi\) | |||||||
\(228\) | −2684.76 | − | 1513.30i | −0.779835 | − | 0.439566i | ||||
\(229\) | − | 5278.56i | − | 1.52322i | −0.648037 | − | 0.761609i | \(-0.724410\pi\) | ||
0.648037 | − | 0.761609i | \(-0.275590\pi\) | |||||||
\(230\) | −566.396 | + | 5820.40i | −0.162379 | + | 1.66864i | ||||
\(231\) | −109.562 | + | 64.6826i | −0.0312061 | + | 0.0184234i | ||||
\(232\) | 1572.81 | − | 1575.69i | 0.445086 | − | 0.445901i | ||||
\(233\) | −469.587 | −0.132033 | −0.0660165 | − | 0.997819i | \(-0.521029\pi\) | ||||
−0.0660165 | + | 0.997819i | \(0.521029\pi\) | |||||||
\(234\) | 605.138 | − | 2450.88i | 0.169056 | − | 0.684698i | ||||
\(235\) | 248.211 | − | 661.211i | 0.0689000 | − | 0.183543i | ||||
\(236\) | 1921.51 | + | 3323.47i | 0.529998 | + | 0.916692i | ||||
\(237\) | −3598.61 | + | 2124.53i | −0.986306 | + | 0.582292i | ||||
\(238\) | −567.116 | + | 152.144i | −0.154456 | + | 0.0414370i | ||||
\(239\) | −130.148 | −0.0352242 | −0.0176121 | − | 0.999845i | \(-0.505606\pi\) | ||||
−0.0176121 | + | 0.999845i | \(0.505606\pi\) | |||||||
\(240\) | −3494.97 | − | 1268.55i | −0.939996 | − | 0.341184i | ||||
\(241\) | 5560.04 | 1.48611 | 0.743057 | − | 0.669228i | \(-0.233375\pi\) | ||||
0.743057 | + | 0.669228i | \(0.233375\pi\) | |||||||
\(242\) | −3538.70 | + | 949.350i | −0.939986 | + | 0.252176i | ||||
\(243\) | −1732.48 | + | 3368.59i | −0.457360 | + | 0.889281i | ||||
\(244\) | 2545.19 | + | 4402.20i | 0.667784 | + | 1.15501i | ||||
\(245\) | −3414.14 | − | 1281.63i | −0.890292 | − | 0.334205i | ||||
\(246\) | 3009.50 | − | 3070.42i | 0.779995 | − | 0.795785i | ||||
\(247\) | 2450.80 | 0.631340 | ||||||||
\(248\) | 3084.80 | + | 3079.16i | 0.789859 | + | 0.788415i | ||||
\(249\) | 792.619 | + | 1342.57i | 0.201728 | + | 0.341693i | ||||
\(250\) | −2710.47 | − | 2877.21i | −0.685702 | − | 0.727883i | ||||
\(251\) | 6537.02i | 1.64388i | 0.569576 | + | 0.821939i | \(0.307107\pi\) | ||||
−0.569576 | + | 0.821939i | \(0.692893\pi\) | |||||||
\(252\) | 17.7527 | + | 885.763i | 0.00443775 | + | 0.221420i | ||||
\(253\) | −1103.97 | −0.274332 | ||||||||
\(254\) | 5598.13 | − | 1501.85i | 1.38291 | − | 0.371001i | ||||
\(255\) | −509.636 | − | 2895.88i | −0.125155 | − | 0.711166i | ||||
\(256\) | −2056.65 | − | 3542.23i | −0.502111 | − | 0.864803i | ||||
\(257\) | 2769.77 | 0.672270 | 0.336135 | − | 0.941814i | \(-0.390880\pi\) | ||||
0.336135 | + | 0.941814i | \(0.390880\pi\) | |||||||
\(258\) | −831.496 | + | 848.328i | −0.200646 | + | 0.204708i | ||||
\(259\) | 1439.43 | 0.345336 | ||||||||
\(260\) | 2916.51 | − | 485.931i | 0.695670 | − | 0.115908i | ||||
\(261\) | 1283.32 | − | 2326.01i | 0.304351 | − | 0.551633i | ||||
\(262\) | −1229.44 | − | 4582.73i | −0.289904 | − | 1.08062i | ||||
\(263\) | 2001.24i | 0.469207i | 0.972091 | + | 0.234604i | \(0.0753792\pi\) | ||||
−0.972091 | + | 0.234604i | \(0.924621\pi\) | |||||||
\(264\) | 174.448 | − | 679.876i | 0.0406687 | − | 0.158498i | ||||
\(265\) | 702.632 | − | 1871.75i | 0.162877 | − | 0.433889i | ||||
\(266\) | −830.708 | + | 222.859i | −0.191481 | + | 0.0513698i | ||||
\(267\) | 4977.91 | − | 2938.84i | 1.14098 | − | 0.673611i | ||||
\(268\) | 1155.24 | + | 1998.12i | 0.263311 | + | 0.455427i | ||||
\(269\) | 2476.45 | 0.561307 | 0.280654 | − | 0.959809i | \(-0.409449\pi\) | ||||
0.280654 | + | 0.959809i | \(0.409449\pi\) | |||||||
\(270\) | −4426.34 | − | 300.844i | −0.997698 | − | 0.0678102i | ||||
\(271\) | − | 1616.36i | − | 0.362313i | −0.983454 | − | 0.181156i | \(-0.942016\pi\) | ||
0.983454 | − | 0.181156i | \(-0.0579840\pi\) | |||||||
\(272\) | 1616.21 | − | 2807.27i | 0.360284 | − | 0.625792i | ||||
\(273\) | −358.173 | − | 606.686i | −0.0794052 | − | 0.134499i | ||||
\(274\) | 5025.93 | − | 1348.34i | 1.10813 | − | 0.297285i | ||||
\(275\) | 491.049 | − | 561.888i | 0.107678 | − | 0.123211i | ||||
\(276\) | −3774.69 | + | 6696.69i | −0.823224 | + | 1.46048i | ||||
\(277\) | 5749.66 | 1.24716 | 0.623580 | − | 0.781759i | \(-0.285677\pi\) | ||||
0.623580 | + | 0.781759i | \(0.285677\pi\) | |||||||
\(278\) | 4366.14 | − | 1171.33i | 0.941956 | − | 0.252704i | ||||
\(279\) | 4553.74 | + | 2512.43i | 0.977151 | + | 0.539122i | ||||
\(280\) | −944.373 | + | 429.915i | −0.201561 | + | 0.0917584i | ||||
\(281\) | − | 7754.89i | − | 1.64633i | −0.567804 | − | 0.823164i | \(-0.692207\pi\) | ||
0.567804 | − | 0.823164i | \(-0.307793\pi\) | |||||||
\(282\) | 649.873 | − | 663.028i | 0.137232 | − | 0.140010i | ||||
\(283\) | 4931.44i | 1.03584i | 0.855428 | + | 0.517922i | \(0.173294\pi\) | ||||
−0.855428 | + | 0.517922i | \(0.826706\pi\) | |||||||
\(284\) | 7356.52 | − | 4253.27i | 1.53707 | − | 0.888680i | ||||
\(285\) | −746.512 | − | 4241.88i | −0.155156 | − | 0.881639i | ||||
\(286\) | 144.630 | + | 539.107i | 0.0299025 | + | 0.111462i | ||||
\(287\) | − | 1199.86i | − | 0.246778i | ||||||
\(288\) | −3527.65 | − | 3382.83i | −0.721767 | − | 0.692136i | ||||
\(289\) | −2351.26 | −0.478579 | ||||||||
\(290\) | 3096.75 | + | 301.352i | 0.627061 | + | 0.0610207i | ||||
\(291\) | −5449.44 | + | 3217.22i | −1.09777 | + | 0.648100i | ||||
\(292\) | 3927.70 | + | 6793.41i | 0.787162 | + | 1.36149i | ||||
\(293\) | 688.926i | 0.137363i | 0.997639 | + | 0.0686817i | \(0.0218793\pi\) | ||||
−0.997639 | + | 0.0686817i | \(0.978121\pi\) | |||||||
\(294\) | −3423.53 | − | 3355.60i | −0.679129 | − | 0.665655i | ||||
\(295\) | −1885.53 | + | 5022.87i | −0.372134 | + | 0.991332i | ||||
\(296\) | −5610.00 | + | 5620.28i | −1.10160 | + | 1.10362i | ||||
\(297\) | −24.4061 | − | 837.181i | −0.00476831 | − | 0.163563i | ||||
\(298\) | −1457.51 | + | 391.016i | −0.283327 | + | 0.0760099i | ||||
\(299\) | − | 6113.13i | − | 1.18238i | ||||||
\(300\) | −1729.42 | − | 4899.91i | −0.332827 | − | 0.942988i | ||||
\(301\) | 331.508i | 0.0634811i | ||||||||
\(302\) | −2239.99 | − | 8349.58i | −0.426811 | − | 1.59094i | ||||
\(303\) | −1218.16 | − | 2063.35i | −0.230961 | − | 0.391210i | ||||
\(304\) | 2367.42 | − | 4112.07i | 0.446648 | − | 0.775801i | ||||
\(305\) | −2497.53 | + | 6653.20i | −0.468880 | + | 1.24905i | ||||
\(306\) | 926.528 | − | 3752.55i | 0.173092 | − | 0.701042i | ||||
\(307\) | − | 6625.29i | − | 1.23168i | −0.787872 | − | 0.615839i | \(-0.788817\pi\) | ||
0.787872 | − | 0.615839i | \(-0.211183\pi\) | |||||||
\(308\) | −98.0454 | − | 169.581i | −0.0181385 | − | 0.0313726i | ||||
\(309\) | 3602.56 | + | 6102.14i | 0.663244 | + | 1.12343i | ||||
\(310\) | −589.971 | + | 6062.67i | −0.108091 | + | 1.11076i | ||||
\(311\) | −5355.88 | −0.976540 | −0.488270 | − | 0.872693i | \(-0.662372\pi\) | ||||
−0.488270 | + | 0.872693i | \(0.662372\pi\) | |||||||
\(312\) | 3764.74 | + | 965.989i | 0.683130 | + | 0.175283i | ||||
\(313\) | − | 57.6042i | − | 0.0104025i | −0.999986 | − | 0.00520125i | \(-0.998344\pi\) | ||
0.999986 | − | 0.00520125i | \(-0.00165562\pi\) | |||||||
\(314\) | −3905.84 | + | 1047.84i | −0.701971 | + | 0.188322i | ||||
\(315\) | −940.959 | + | 804.726i | −0.168308 | + | 0.143940i | ||||
\(316\) | −3220.35 | − | 5569.97i | −0.573288 | − | 0.991567i | ||||
\(317\) | 7806.30i | 1.38311i | 0.722325 | + | 0.691554i | \(0.243074\pi\) | ||||
−0.722325 | + | 0.691554i | \(0.756926\pi\) | |||||||
\(318\) | 1839.65 | − | 1876.89i | 0.324411 | − | 0.330978i | ||||
\(319\) | 587.370i | 0.103092i | ||||||||
\(320\) | 2001.96 | − | 5362.85i | 0.349729 | − | 0.936851i | ||||
\(321\) | −1655.76 | − | 2804.58i | −0.287898 | − | 0.487652i | ||||
\(322\) | 555.886 | + | 2072.07i | 0.0962059 | + | 0.358608i | ||||
\(323\) | 3752.43 | 0.646410 | ||||||||
\(324\) | −5161.79 | − | 2714.44i | −0.885080 | − | 0.465438i | ||||
\(325\) | 3111.40 | + | 2719.14i | 0.531044 | + | 0.464094i | ||||
\(326\) | −439.815 | − | 1639.41i | −0.0747212 | − | 0.278523i | ||||
\(327\) | −2114.10 | + | 1248.12i | −0.357523 | + | 0.211074i | ||||
\(328\) | 4684.84 | + | 4676.28i | 0.788650 | + | 0.787208i | ||||
\(329\) | − | 259.097i | − | 0.0434179i | ||||||
\(330\) | 889.039 | − | 414.538i | 0.148303 | − | 0.0691502i | ||||
\(331\) | −6218.44 | −1.03262 | −0.516308 | − | 0.856403i | \(-0.672694\pi\) | ||||
−0.516308 | + | 0.856403i | \(0.672694\pi\) | |||||||
\(332\) | −2078.04 | + | 1201.45i | −0.343516 | + | 0.198608i | ||||
\(333\) | −4577.45 | + | 8296.57i | −0.753282 | + | 1.36531i | ||||
\(334\) | 796.966 | + | 2970.69i | 0.130563 | + | 0.486674i | ||||
\(335\) | −1133.61 | + | 3019.82i | −0.184882 | + | 0.492509i | ||||
\(336\) | −1363.91 | + | 14.9144i | −0.221451 | + | 0.00242157i | ||||
\(337\) | 8547.36i | 1.38162i | 0.723038 | + | 0.690808i | \(0.242745\pi\) | ||||
−0.723038 | + | 0.690808i | \(0.757255\pi\) | |||||||
\(338\) | 3016.57 | − | 809.274i | 0.485444 | − | 0.130233i | ||||
\(339\) | 1340.45 | + | 2270.49i | 0.214758 | + | 0.363765i | ||||
\(340\) | 4465.46 | − | 744.009i | 0.712276 | − | 0.118675i | ||||
\(341\) | −1149.92 | −0.182615 | ||||||||
\(342\) | 1357.17 | − | 5496.72i | 0.214583 | − | 0.869089i | ||||
\(343\) | −2744.68 | −0.432067 | ||||||||
\(344\) | −1294.38 | − | 1292.01i | −0.202872 | − | 0.202501i | ||||
\(345\) | −10580.7 | + | 1862.05i | −1.65114 | + | 0.290579i | ||||
\(346\) | 274.350 | + | 1022.64i | 0.0426276 | + | 0.158895i | ||||
\(347\) | −11848.5 | −1.83303 | −0.916517 | − | 0.399996i | \(-0.869012\pi\) | ||||
−0.916517 | + | 0.399996i | \(0.869012\pi\) | |||||||
\(348\) | 3562.98 | + | 2008.33i | 0.548839 | + | 0.309361i | ||||
\(349\) | 3765.09i | 0.577480i | 0.957408 | + | 0.288740i | \(0.0932363\pi\) | ||||
−0.957408 | + | 0.288740i | \(0.906764\pi\) | |||||||
\(350\) | −1301.88 | − | 638.732i | −0.198824 | − | 0.0975475i | ||||
\(351\) | 4635.80 | − | 135.146i | 0.704960 | − | 0.0205515i | ||||
\(352\) | 1044.25 | + | 278.100i | 0.158121 | + | 0.0421101i | ||||
\(353\) | −7721.18 | −1.16418 | −0.582092 | − | 0.813123i | \(-0.697766\pi\) | ||||
−0.582092 | + | 0.813123i | \(0.697766\pi\) | |||||||
\(354\) | −4936.74 | + | 5036.68i | −0.741200 | + | 0.756204i | ||||
\(355\) | 11118.2 | + | 4173.63i | 1.66223 | + | 0.623980i | ||||
\(356\) | 4454.67 | + | 7704.87i | 0.663195 | + | 1.14707i | ||||
\(357\) | −548.399 | − | 928.897i | −0.0813007 | − | 0.137710i | ||||
\(358\) | 1382.55 | + | 5153.45i | 0.204106 | + | 0.760805i | ||||
\(359\) | 1277.28 | 0.187778 | 0.0938892 | − | 0.995583i | \(-0.470070\pi\) | ||||
0.0938892 | + | 0.995583i | \(0.470070\pi\) | |||||||
\(360\) | 525.207 | − | 6810.30i | 0.0768913 | − | 0.997039i | ||||
\(361\) | −1362.46 | −0.198639 | ||||||||
\(362\) | 722.822 | + | 2694.32i | 0.104947 | + | 0.391189i | ||||
\(363\) | −3421.92 | − | 5796.16i | −0.494777 | − | 0.838070i | ||||
\(364\) | 939.036 | − | 542.917i | 0.135217 | − | 0.0781774i | ||||
\(365\) | −3854.15 | + | 10267.1i | −0.552700 | + | 1.47234i | ||||
\(366\) | −6539.12 | + | 6671.49i | −0.933894 | + | 0.952798i | ||||
\(367\) | −4874.49 | −0.693315 | −0.346657 | − | 0.937992i | \(-0.612683\pi\) | ||||
−0.346657 | + | 0.937992i | \(0.612683\pi\) | |||||||
\(368\) | −10256.9 | − | 5905.15i | −1.45293 | − | 0.836487i | ||||
\(369\) | 6915.70 | + | 3815.58i | 0.975655 | + | 0.538296i | ||||
\(370\) | −11045.7 | − | 1074.88i | −1.55200 | − | 0.151029i | ||||
\(371\) | − | 733.449i | − | 0.102638i | ||||||
\(372\) | −3931.80 | + | 6975.43i | −0.547996 | + | 0.972202i | ||||
\(373\) | 9969.36 | 1.38390 | 0.691949 | − | 0.721946i | \(-0.256752\pi\) | ||||
0.691949 | + | 0.721946i | \(0.256752\pi\) | |||||||
\(374\) | 221.442 | + | 825.428i | 0.0306164 | + | 0.114123i | ||||
\(375\) | 3758.58 | − | 6213.49i | 0.517580 | − | 0.855635i | ||||
\(376\) | 1011.65 | + | 1009.80i | 0.138755 | + | 0.138501i | ||||
\(377\) | −3252.50 | −0.444330 | ||||||||
\(378\) | −1559.03 | + | 467.356i | −0.212138 | + | 0.0635932i | ||||
\(379\) | −3910.73 | −0.530028 | −0.265014 | − | 0.964245i | \(-0.585377\pi\) | ||||
−0.265014 | + | 0.964245i | \(0.585377\pi\) | |||||||
\(380\) | 6540.99 | − | 1089.82i | 0.883015 | − | 0.147123i | ||||
\(381\) | 5413.38 | + | 9169.36i | 0.727916 | + | 1.23297i | ||||
\(382\) | 9598.16 | − | 2574.96i | 1.28556 | − | 0.344886i | ||||
\(383\) | 2301.53i | 0.307056i | 0.988144 | + | 0.153528i | \(0.0490636\pi\) | ||||
−0.988144 | + | 0.153528i | \(0.950936\pi\) | |||||||
\(384\) | 5257.44 | − | 5383.53i | 0.698679 | − | 0.715436i | ||||
\(385\) | 96.2095 | − | 256.293i | 0.0127358 | − | 0.0339270i | ||||
\(386\) | −2234.61 | − | 8329.53i | −0.294660 | − | 1.09835i | ||||
\(387\) | −1910.74 | − | 1054.21i | −0.250978 | − | 0.138471i | ||||
\(388\) | −4876.65 | − | 8434.71i | −0.638078 | − | 1.10363i | ||||
\(389\) | −13438.1 | −1.75152 | −0.875758 | − | 0.482751i | \(-0.839638\pi\) | ||||
−0.875758 | + | 0.482751i | \(0.839638\pi\) | |||||||
\(390\) | 2295.46 | + | 4922.96i | 0.298039 | + | 0.639190i | ||||
\(391\) | − | 9359.82i | − | 1.21060i | ||||||
\(392\) | 5214.06 | − | 5223.61i | 0.671810 | − | 0.673041i | ||||
\(393\) | 7506.20 | − | 4431.49i | 0.963455 | − | 0.568801i | ||||
\(394\) | 2853.29 | + | 10635.6i | 0.364839 | + | 1.35994i | ||||
\(395\) | 3160.05 | − | 8418.08i | 0.402530 | − | 1.07230i | ||||
\(396\) | 1289.21 | − | 25.8387i | 0.163599 | − | 0.00327890i | ||||
\(397\) | −10501.3 | −1.32757 | −0.663786 | − | 0.747922i | \(-0.731051\pi\) | ||||
−0.663786 | + | 0.747922i | \(0.731051\pi\) | |||||||
\(398\) | −2116.73 | − | 7890.10i | −0.266588 | − | 0.993706i | ||||
\(399\) | −803.293 | − | 1360.64i | −0.100789 | − | 0.170720i | ||||
\(400\) | 7567.83 | − | 2593.82i | 0.945979 | − | 0.324228i | ||||
\(401\) | − | 13566.8i | − | 1.68951i | −0.535155 | − | 0.844754i | \(-0.679747\pi\) | ||
0.535155 | − | 0.844754i | \(-0.320253\pi\) | |||||||
\(402\) | −2968.04 | + | 3028.12i | −0.368239 | + | 0.375694i | ||||
\(403\) | − | 6367.58i | − | 0.787076i | ||||||
\(404\) | 3193.69 | − | 1846.47i | 0.393297 | − | 0.227390i | ||||
\(405\) | −1645.97 | − | 7982.54i | −0.201948 | − | 0.979396i | ||||
\(406\) | 1102.45 | − | 295.760i | 0.134762 | − | 0.0361535i | ||||
\(407\) | − | 2095.07i | − | 0.255157i | ||||||
\(408\) | 5764.20 | + | 1479.03i | 0.699437 | + | 0.179467i | ||||
\(409\) | −7673.26 | −0.927674 | −0.463837 | − | 0.885921i | \(-0.653528\pi\) | ||||
−0.463837 | + | 0.885921i | \(0.653528\pi\) | |||||||
\(410\) | −895.981 | + | 9207.28i | −0.107925 | + | 1.10906i | ||||
\(411\) | 4860.06 | + | 8232.13i | 0.583282 | + | 0.987983i | ||||
\(412\) | −9444.96 | + | 5460.73i | −1.12942 | + | 0.652988i | ||||
\(413\) | 1968.22i | 0.234504i | ||||||||
\(414\) | −13710.7 | − | 3385.25i | −1.62764 | − | 0.401874i | ||||
\(415\) | −3140.61 | − | 1178.95i | −0.371486 | − | 0.139451i | ||||
\(416\) | −1539.95 | + | 5782.42i | −0.181496 | + | 0.681506i | ||||
\(417\) | 4222.05 | + | 7151.44i | 0.495814 | + | 0.839827i | ||||
\(418\) | 324.368 | + | 1209.08i | 0.0379554 | + | 0.141479i | ||||
\(419\) | 1239.80i | 0.144554i | 0.997385 | + | 0.0722768i | \(0.0230265\pi\) | ||||
−0.997385 | + | 0.0722768i | \(0.976973\pi\) | |||||||
\(420\) | −1225.72 | − | 1459.92i | −0.142402 | − | 0.169612i | ||||
\(421\) | 1701.96i | 0.197027i | 0.995136 | + | 0.0985134i | \(0.0314087\pi\) | ||||
−0.995136 | + | 0.0985134i | \(0.968591\pi\) | |||||||
\(422\) | 4919.51 | − | 1319.79i | 0.567483 | − | 0.152242i | ||||
\(423\) | 1493.38 | + | 823.939i | 0.171656 | + | 0.0947075i | ||||
\(424\) | 2863.76 | + | 2858.52i | 0.328010 | + | 0.327411i | ||||
\(425\) | 4763.86 | + | 4163.27i | 0.543721 | + | 0.475172i | ||||
\(426\) | 11148.7 | + | 10927.5i | 1.26797 | + | 1.24282i | ||||
\(427\) | 2607.07i | 0.295469i | ||||||||
\(428\) | 4340.96 | − | 2509.79i | 0.490253 | − | 0.283446i | ||||
\(429\) | −883.021 | + | 521.315i | −0.0993769 | + | 0.0586698i | ||||
\(430\) | 247.551 | − | 2543.88i | 0.0277627 | − | 0.285295i | ||||
\(431\) | 9669.03 | 1.08061 | 0.540303 | − | 0.841471i | \(-0.318310\pi\) | ||||
0.540303 | + | 0.841471i | \(0.318310\pi\) | |||||||
\(432\) | 4251.33 | − | 7908.71i | 0.473477 | − | 0.880806i | ||||
\(433\) | − | 11871.2i | − | 1.31753i | −0.752348 | − | 0.658766i | \(-0.771079\pi\) | ||
0.752348 | − | 0.658766i | \(-0.228921\pi\) | |||||||
\(434\) | 579.023 | + | 2158.31i | 0.0640415 | + | 0.238715i | ||||
\(435\) | 990.708 | + | 5629.46i | 0.109197 | + | 0.620487i | ||||
\(436\) | −1891.89 | − | 3272.24i | −0.207810 | − | 0.359430i | ||||
\(437\) | − | 13710.2i | − | 1.50080i | ||||||
\(438\) | −10091.1 | + | 10295.3i | −1.10084 | + | 1.12313i | ||||
\(439\) | − | 16373.4i | − | 1.78009i | −0.455868 | − | 0.890047i | \(-0.650671\pi\) | ||
0.455868 | − | 0.890047i | \(-0.349329\pi\) | |||||||
\(440\) | 625.734 | + | 1374.52i | 0.0677971 | + | 0.148926i | ||||
\(441\) | 4254.38 | − | 7711.01i | 0.459387 | − | 0.832632i | ||||
\(442\) | −4570.72 | + | 1226.21i | −0.491871 | + | 0.131957i | ||||
\(443\) | 13008.8 | 1.39519 | 0.697594 | − | 0.716493i | \(-0.254254\pi\) | ||||
0.697594 | + | 0.716493i | \(0.254254\pi\) | |||||||
\(444\) | −12708.7 | − | 7163.45i | −1.35840 | − | 0.765681i | ||||
\(445\) | −4371.26 | + | 11644.6i | −0.465657 | + | 1.24047i | ||||
\(446\) | 9274.36 | − | 2488.09i | 0.984650 | − | 0.264158i | ||||
\(447\) | −1409.41 | − | 2387.31i | −0.149134 | − | 0.252608i | ||||
\(448\) | −3.84227 | − | 2100.00i | −0.000405201 | − | 0.221464i | ||||
\(449\) | 9615.94i | 1.01070i | 0.862914 | + | 0.505350i | \(0.168637\pi\) | ||||
−0.862914 | + | 0.505350i | \(0.831363\pi\) | |||||||
\(450\) | 7821.53 | − | 5472.54i | 0.819356 | − | 0.573285i | ||||
\(451\) | −1746.37 | −0.182336 | ||||||||
\(452\) | −3514.30 | + | 2031.84i | −0.365705 | + | 0.211437i | ||||
\(453\) | 13676.0 | − | 8074.02i | 1.41845 | − | 0.837418i | ||||
\(454\) | 4553.52 | − | 1221.60i | 0.470721 | − | 0.126283i | ||||
\(455\) | 1419.20 | + | 532.750i | 0.146226 | + | 0.0548917i | ||||
\(456\) | 8443.37 | + | 2166.47i | 0.867099 | + | 0.222487i | ||||
\(457\) | 3926.38i | 0.401900i | 0.979601 | + | 0.200950i | \(0.0644030\pi\) | ||||
−0.979601 | + | 0.200950i | \(0.935597\pi\) | |||||||
\(458\) | 3868.57 | + | 14420.1i | 0.394687 | + | 1.47120i | ||||
\(459\) | 7097.88 | − | 206.923i | 0.721788 | − | 0.0210421i | ||||
\(460\) | −2718.38 | − | 16315.4i | −0.275533 | − | 1.65372i | ||||
\(461\) | 360.528 | 0.0364240 | 0.0182120 | − | 0.999834i | \(-0.494203\pi\) | ||||
0.0182120 | + | 0.999834i | \(0.494203\pi\) | |||||||
\(462\) | 251.898 | − | 256.998i | 0.0253666 | − | 0.0258801i | ||||
\(463\) | 14036.6 | 1.40894 | 0.704468 | − | 0.709735i | \(-0.251185\pi\) | ||||
0.704468 | + | 0.709735i | \(0.251185\pi\) | |||||||
\(464\) | −3141.84 | + | 5457.19i | −0.314346 | + | 0.546000i | ||||
\(465\) | −11021.1 | + | 1939.56i | −1.09912 | + | 0.193430i | ||||
\(466\) | 1282.83 | − | 344.153i | 0.127524 | − | 0.0342115i | ||||
\(467\) | 4186.44 | 0.414829 | 0.207415 | − | 0.978253i | \(-0.433495\pi\) | ||||
0.207415 | + | 0.978253i | \(0.433495\pi\) | |||||||
\(468\) | 143.079 | + | 7138.89i | 0.0141321 | + | 0.705118i | ||||
\(469\) | 1183.32i | 0.116505i | ||||||||
\(470\) | −193.478 | + | 1988.22i | −0.0189883 | + | 0.195128i | ||||
\(471\) | −3776.93 | − | 6397.49i | −0.369494 | − | 0.625862i | ||||
\(472\) | −7684.95 | − | 7670.90i | −0.749424 | − | 0.748054i | ||||
\(473\) | 482.505 | 0.0469040 | ||||||||
\(474\) | 8273.73 | − | 8441.22i | 0.801741 | − | 0.817970i | ||||
\(475\) | 6978.08 | + | 6098.34i | 0.674056 | + | 0.589076i | ||||
\(476\) | 1437.76 | − | 831.260i | 0.138444 | − | 0.0800435i | ||||
\(477\) | 4227.44 | + | 2332.40i | 0.405788 | + | 0.223885i | ||||
\(478\) | 355.543 | − | 95.3836i | 0.0340212 | − | 0.00912708i | ||||
\(479\) | 3466.07 | 0.330624 | 0.165312 | − | 0.986241i | \(-0.447137\pi\) | ||||
0.165312 | + | 0.986241i | \(0.447137\pi\) | |||||||
\(480\) | 10477.3 | + | 904.041i | 0.996298 | + | 0.0859659i | ||||
\(481\) | 11601.2 | 1.09973 | ||||||||
\(482\) | −15189.1 | + | 4074.86i | −1.43536 | + | 0.385072i | ||||
\(483\) | −3393.91 | + | 2003.68i | −0.319727 | + | 0.188759i | ||||
\(484\) | 8971.37 | − | 5186.92i | 0.842540 | − | 0.487126i | ||||
\(485\) | 4785.33 | − | 12747.7i | 0.448022 | − | 1.19349i | ||||
\(486\) | 2264.04 | − | 10472.1i | 0.211315 | − | 0.977418i | ||||
\(487\) | −2368.19 | −0.220355 | −0.110178 | − | 0.993912i | \(-0.535142\pi\) | ||||
−0.110178 | + | 0.993912i | \(0.535142\pi\) | |||||||
\(488\) | −10179.3 | − | 10160.7i | −0.944256 | − | 0.942530i | ||||
\(489\) | 2685.25 | − | 1585.31i | 0.248325 | − | 0.146605i | ||||
\(490\) | 10266.1 | + | 999.020i | 0.946483 | + | 0.0921043i | ||||
\(491\) | 19310.1i | 1.77485i | 0.460953 | + | 0.887424i | \(0.347508\pi\) | ||||
−0.460953 | + | 0.887424i | \(0.652492\pi\) | |||||||
\(492\) | −5971.18 | + | 10593.5i | −0.547157 | + | 0.970713i | ||||
\(493\) | −4979.90 | −0.454936 | ||||||||
\(494\) | −6695.17 | + | 1796.15i | −0.609777 | + | 0.163589i | ||||
\(495\) | 1171.27 | + | 1369.55i | 0.106353 | + | 0.124357i | ||||
\(496\) | −10683.8 | − | 6150.94i | −0.967172 | − | 0.556825i | ||||
\(497\) | 4356.68 | 0.393207 | ||||||||
\(498\) | −3149.24 | − | 3086.76i | −0.283375 | − | 0.277753i | ||||
\(499\) | −2257.79 | −0.202551 | −0.101275 | − | 0.994858i | \(-0.532292\pi\) | ||||
−0.101275 | + | 0.994858i | \(0.532292\pi\) | |||||||
\(500\) | 9513.21 | + | 5873.58i | 0.850887 | + | 0.525349i | ||||
\(501\) | −4865.79 | + | 2872.65i | −0.433907 | + | 0.256169i | ||||
\(502\) | −4790.88 | − | 17858.0i | −0.425951 | − | 1.58773i | ||||
\(503\) | 171.197i | 0.0151755i | 0.999971 | + | 0.00758776i | \(0.00241528\pi\) | ||||
−0.999971 | + | 0.00758776i | \(0.997585\pi\) | |||||||
\(504\) | −697.658 | − | 2406.74i | −0.0616591 | − | 0.212708i | ||||
\(505\) | 4826.73 | + | 1811.90i | 0.425320 | + | 0.159660i | ||||
\(506\) | 3015.86 | − | 809.083i | 0.264963 | − | 0.0710833i | ||||
\(507\) | 2917.02 | + | 4940.94i | 0.255521 | + | 0.432810i | ||||
\(508\) | −14192.5 | + | 8205.57i | −1.23954 | + | 0.716660i | ||||
\(509\) | 872.727 | 0.0759979 | 0.0379989 | − | 0.999278i | \(-0.487902\pi\) | ||||
0.0379989 | + | 0.999278i | \(0.487902\pi\) | |||||||
\(510\) | 3514.58 | + | 7537.55i | 0.305154 | + | 0.654448i | ||||
\(511\) | 4023.19i | 0.348289i | ||||||||
\(512\) | 8214.45 | + | 8169.49i | 0.709045 | + | 0.705163i | ||||
\(513\) | 10396.9 | − | 303.099i | 0.894808 | − | 0.0260861i | ||||
\(514\) | −7566.53 | + | 2029.92i | −0.649310 | + | 0.174194i | ||||
\(515\) | −14274.5 | − | 5358.48i | −1.22138 | − | 0.458491i | ||||
\(516\) | 1649.78 | − | 2926.87i | 0.140751 | − | 0.249706i | ||||
\(517\) | −377.112 | −0.0320800 | ||||||||
\(518\) | −3932.28 | + | 1054.94i | −0.333542 | + | 0.0894813i | ||||
\(519\) | −1675.02 | + | 988.892i | −0.141667 | + | 0.0836368i | ||||
\(520\) | −7611.26 | + | 3464.94i | −0.641877 | + | 0.292207i | ||||
\(521\) | 783.069i | 0.0658481i | 0.999458 | + | 0.0329240i | \(0.0104819\pi\) | ||||
−0.999458 | + | 0.0329240i | \(0.989518\pi\) | |||||||
\(522\) | −1801.13 | + | 7294.78i | −0.151021 | + | 0.611655i | ||||
\(523\) | − | 10952.6i | − | 0.915727i | −0.889023 | − | 0.457863i | \(-0.848615\pi\) | ||
0.889023 | − | 0.457863i | \(-0.151385\pi\) | |||||||
\(524\) | 6717.22 | + | 11618.2i | 0.560006 | + | 0.968593i | ||||
\(525\) | 489.804 | − | 2618.64i | 0.0407177 | − | 0.217689i | ||||
\(526\) | −1466.67 | − | 5467.03i | −0.121578 | − | 0.453182i | ||||
\(527\) | − | 9749.40i | − | 0.805864i | ||||||
\(528\) | 21.7077 | + | 1985.15i | 0.00178922 | + | 0.163623i | ||||
\(529\) | −22030.9 | −1.81071 | ||||||||
\(530\) | −547.697 | + | 5628.24i | −0.0448876 | + | 0.461274i | ||||
\(531\) | −11344.4 | − | 6259.03i | −0.927128 | − | 0.511523i | ||||
\(532\) | 2106.02 | − | 1217.63i | 0.171631 | − | 0.0992308i | ||||
\(533\) | − | 9670.35i | − | 0.785871i | ||||||
\(534\) | −11445.0 | + | 11676.6i | −0.927475 | + | 0.946250i | ||||
\(535\) | 6560.64 | + | 2462.79i | 0.530170 | + | 0.199020i | ||||
\(536\) | −4620.30 | − | 4611.85i | −0.372325 | − | 0.371645i | ||||
\(537\) | −8441.00 | + | 4983.37i | −0.678317 | + | 0.400463i | ||||
\(538\) | −6765.23 | + | 1814.95i | −0.542137 | + | 0.145442i | ||||
\(539\) | 1947.20i | 0.155607i | ||||||||
\(540\) | 12312.5 | − | 2422.14i | 0.981194 | − | 0.193023i | ||||
\(541\) | 8779.37i | 0.697698i | 0.937179 | + | 0.348849i | \(0.113427\pi\) | ||||
−0.937179 | + | 0.348849i | \(0.886573\pi\) | |||||||
\(542\) | 1184.60 | + | 4415.61i | 0.0938801 | + | 0.349939i | ||||
\(543\) | −4413.12 | + | 2605.40i | −0.348775 | + | 0.205909i | ||||
\(544\) | −2357.82 | + | 8853.46i | −0.185828 | + | 0.697774i | ||||
\(545\) | 1856.46 | − | 4945.44i | 0.145912 | − | 0.388696i | ||||
\(546\) | 1423.10 | + | 1394.86i | 0.111544 | + | 0.109331i | ||||
\(547\) | 4135.81i | 0.323281i | 0.986850 | + | 0.161640i | \(0.0516784\pi\) | ||||
−0.986850 | + | 0.161640i | \(0.948322\pi\) | |||||||
\(548\) | −12741.8 | + | 7366.85i | −0.993253 | + | 0.574263i | ||||
\(549\) | −15026.6 | − | 8290.59i | −1.16816 | − | 0.644506i | ||||
\(550\) | −929.663 | + | 1894.86i | −0.0720745 | + | 0.146904i | ||||
\(551\) | −7294.54 | −0.563989 | ||||||||
\(552\) | 5403.91 | − | 21060.6i | 0.416677 | − | 1.62391i | ||||
\(553\) | − | 3298.65i | − | 0.253658i | ||||||
\(554\) | −15707.1 | + | 4213.83i | −1.20457 | + | 0.323156i | ||||
\(555\) | −3533.73 | − | 20079.6i | −0.270267 | − | 1.53573i | ||||
\(556\) | −11069.1 | + | 6399.75i | −0.844306 | + | 0.488147i | ||||
\(557\) | 13645.6i | 1.03803i | 0.854765 | + | 0.519015i | \(0.173701\pi\) | ||||
−0.854765 | + | 0.519015i | \(0.826299\pi\) | |||||||
\(558\) | −14281.3 | − | 3526.15i | −1.08347 | − | 0.267516i | ||||
\(559\) | 2671.82i | 0.202157i | ||||||||
\(560\) | 2264.79 | − | 1866.57i | 0.170901 | − | 0.140852i | ||||
\(561\) | −1351.99 | + | 798.186i | −0.101749 | + | 0.0600703i | ||||
\(562\) | 5683.43 | + | 21185.0i | 0.426586 | + | 1.59010i | ||||
\(563\) | 10861.6 | 0.813076 | 0.406538 | − | 0.913634i | \(-0.366736\pi\) | ||||
0.406538 | + | 0.913634i | \(0.366736\pi\) | |||||||
\(564\) | −1289.42 | + | 2287.56i | −0.0962665 | + | 0.170787i | ||||
\(565\) | −5311.28 | − | 1993.79i | −0.395482 | − | 0.148459i | ||||
\(566\) | −3614.18 | − | 13471.9i | −0.268401 | − | 1.00047i | ||||
\(567\) | −1594.50 | − | 2529.42i | −0.118100 | − | 0.187347i | ||||
\(568\) | −16979.6 | + | 17010.7i | −1.25431 | + | 1.25661i | ||||
\(569\) | 4479.34i | 0.330024i | 0.986292 | + | 0.165012i | \(0.0527663\pi\) | ||||
−0.986292 | + | 0.165012i | \(0.947234\pi\) | |||||||
\(570\) | 5148.15 | + | 11041.0i | 0.378302 | + | 0.811325i | ||||
\(571\) | 9122.59 | 0.668596 | 0.334298 | − | 0.942467i | \(-0.391501\pi\) | ||||
0.334298 | + | 0.942467i | \(0.391501\pi\) | |||||||
\(572\) | −790.206 | − | 1366.75i | −0.0577626 | − | 0.0999069i | ||||
\(573\) | 9281.40 | + | 15721.1i | 0.676677 | + | 1.14618i | ||||
\(574\) | 879.355 | + | 3277.80i | 0.0639435 | + | 0.238350i | ||||
\(575\) | 15211.3 | − | 17405.7i | 1.10323 | − | 1.26238i | ||||
\(576\) | 12116.2 | + | 6655.94i | 0.876459 | + | 0.481477i | ||||
\(577\) | − | 12703.2i | − | 0.916533i | −0.888815 | − | 0.458267i | \(-0.848471\pi\) | ||
0.888815 | − | 0.458267i | \(-0.151529\pi\) | |||||||
\(578\) | 6423.24 | − | 1723.20i | 0.462234 | − | 0.124006i | ||||
\(579\) | 13643.2 | − | 8054.64i | 0.979262 | − | 0.578134i | ||||
\(580\) | −8680.65 | + | 1446.32i | −0.621456 | + | 0.103543i | ||||
\(581\) | −1230.66 | −0.0878765 | ||||||||
\(582\) | 12529.1 | − | 12782.7i | 0.892349 | − | 0.910413i | ||||
\(583\) | −1067.52 | −0.0758359 | ||||||||
\(584\) | −15708.6 | − | 15679.9i | −1.11306 | − | 1.11102i | ||||
\(585\) | −7583.75 | + | 6485.77i | −0.535982 | + | 0.458382i | ||||
\(586\) | −504.903 | − | 1882.03i | −0.0355927 | − | 0.132672i | ||||
\(587\) | 584.550 | 0.0411021 | 0.0205511 | − | 0.999789i | \(-0.493458\pi\) | ||||
0.0205511 | + | 0.999789i | \(0.493458\pi\) | |||||||
\(588\) | 11811.7 | + | 6657.87i | 0.828415 | + | 0.466949i | ||||
\(589\) | − | 14280.9i | − | 0.999038i | ||||||
\(590\) | 1469.75 | − | 15103.5i | 0.102557 | − | 1.05390i | ||||
\(591\) | −17420.5 | + | 10284.6i | −1.21249 | + | 0.715827i | ||||
\(592\) | 11206.6 | − | 19465.1i | 0.778018 | − | 1.35137i | ||||
\(593\) | 9207.43 | 0.637612 | 0.318806 | − | 0.947820i | \(-0.396718\pi\) | ||||
0.318806 | + | 0.947820i | \(0.396718\pi\) | |||||||
\(594\) | 680.230 | + | 2269.15i | 0.0469868 | + | 0.156741i | ||||
\(595\) | 2172.93 | + | 815.694i | 0.149717 | + | 0.0562020i | ||||
\(596\) | 3695.11 | − | 2136.38i | 0.253955 | − | 0.146828i | ||||
\(597\) | 12923.5 | − | 7629.71i | 0.885966 | − | 0.523054i | ||||
\(598\) | 4480.21 | + | 16700.0i | 0.306371 | + | 1.14200i | ||||
\(599\) | −14077.4 | −0.960246 | −0.480123 | − | 0.877201i | \(-0.659408\pi\) | ||||
−0.480123 | + | 0.877201i | \(0.659408\pi\) | |||||||
\(600\) | 8315.54 | + | 12118.2i | 0.565801 | + | 0.824542i | ||||
\(601\) | 9056.37 | 0.614670 | 0.307335 | − | 0.951601i | \(-0.400563\pi\) | ||||
0.307335 | + | 0.951601i | \(0.400563\pi\) | |||||||
\(602\) | −242.957 | − | 905.623i | −0.0164488 | − | 0.0613130i | ||||
\(603\) | −6820.41 | − | 3763.01i | −0.460611 | − | 0.254132i | ||||
\(604\) | 12238.5 | + | 21168.0i | 0.824469 | + | 1.42601i | ||||
\(605\) | 13558.7 | + | 5089.79i | 0.911142 | + | 0.342032i | ||||
\(606\) | 4839.99 | + | 4743.96i | 0.324441 | + | 0.318004i | ||||
\(607\) | 21455.8 | 1.43470 | 0.717350 | − | 0.696713i | \(-0.245355\pi\) | ||||
0.717350 | + | 0.696713i | \(0.245355\pi\) | |||||||
\(608\) | −3453.72 | + | 12968.5i | −0.230373 | + | 0.865037i | ||||
\(609\) | 1066.06 | + | 1805.73i | 0.0709344 | + | 0.120151i | ||||
\(610\) | 1946.81 | − | 20005.8i | 0.129220 | − | 1.32789i | ||||
\(611\) | − | 2088.22i | − | 0.138266i | ||||||
\(612\) | 219.069 | + | 10930.4i | 0.0144695 | + | 0.721950i | ||||
\(613\) | −9740.71 | −0.641800 | −0.320900 | − | 0.947113i | \(-0.603985\pi\) | ||||
−0.320900 | + | 0.947113i | \(0.603985\pi\) | |||||||
\(614\) | 4855.57 | + | 18099.1i | 0.319145 | + | 1.18961i | ||||
\(615\) | −16737.5 | + | 2945.58i | −1.09744 | + | 0.193134i | ||||
\(616\) | 392.126 | + | 391.409i | 0.0256481 | + | 0.0256012i | ||||
\(617\) | 3739.84 | 0.244020 | 0.122010 | − | 0.992529i | \(-0.461066\pi\) | ||||
0.122010 | + | 0.992529i | \(0.461066\pi\) | |||||||
\(618\) | −14313.7 | − | 14029.7i | −0.931687 | − | 0.913201i | ||||
\(619\) | −21751.2 | −1.41237 | −0.706183 | − | 0.708029i | \(-0.749585\pi\) | ||||
−0.706183 | + | 0.708029i | \(0.749585\pi\) | |||||||
\(620\) | −2831.53 | − | 16994.5i | −0.183414 | − | 1.10083i | ||||
\(621\) | −756.032 | − | 25933.5i | −0.0488543 | − | 1.67581i | ||||
\(622\) | 14631.3 | − | 3925.24i | 0.943188 | − | 0.253035i | ||||
\(623\) | 4562.98i | 0.293438i | ||||||||
\(624\) | −10992.6 | + | 120.204i | −0.705217 | + | 0.00771157i | ||||
\(625\) | 2092.94 | + | 15484.2i | 0.133948 | + | 0.990988i | ||||
\(626\) | 42.2172 | + | 157.365i | 0.00269543 | + | 0.0100472i | ||||
\(627\) | −1980.40 | + | 1169.18i | −0.126139 | + | 0.0744698i | ||||
\(628\) | 9902.12 | − | 5725.05i | 0.629200 | − | 0.363781i | ||||
\(629\) | 17762.7 | 1.12598 | ||||||||
\(630\) | 1980.77 | − | 2887.99i | 0.125263 | − | 0.182635i | ||||
\(631\) | 5974.16i | 0.376906i | 0.982082 | + | 0.188453i | \(0.0603472\pi\) | ||||
−0.982082 | + | 0.188453i | \(0.939653\pi\) | |||||||
\(632\) | 12879.6 | + | 12856.0i | 0.810637 | + | 0.809155i | ||||
\(633\) | 4757.15 | + | 8057.82i | 0.298704 | + | 0.505955i | ||||
\(634\) | −5721.11 | − | 21325.5i | −0.358382 | − | 1.33587i | ||||
\(635\) | −21449.5 | − | 8051.91i | −1.34047 | − | 0.503197i | ||||
\(636\) | −3650.07 | + | 6475.60i | −0.227570 | + | 0.403733i | ||||
\(637\) | −10782.4 | −0.670669 | ||||||||
\(638\) | −430.474 | − | 1604.59i | −0.0267126 | − | 0.0995712i | ||||
\(639\) | −13854.4 | + | 25110.9i | −0.857702 | + | 1.55457i | ||||
\(640\) | −1538.67 | + | 16117.6i | −0.0950335 | + | 0.995474i | ||||
\(641\) | 7044.53i | 0.434075i | 0.976163 | + | 0.217038i | \(0.0696394\pi\) | ||||
−0.976163 | + | 0.217038i | \(0.930361\pi\) | |||||||
\(642\) | 6578.67 | + | 6448.14i | 0.404423 | + | 0.396399i | ||||
\(643\) | − | 2177.00i | − | 0.133519i | −0.997769 | − | 0.0667595i | \(-0.978734\pi\) | ||
0.997769 | − | 0.0667595i | \(-0.0212660\pi\) | |||||||
\(644\) | −3037.17 | − | 5253.13i | −0.185840 | − | 0.321432i | ||||
\(645\) | 4624.42 | − | 813.834i | 0.282304 | − | 0.0496817i | ||||
\(646\) | −10251.0 | + | 2750.09i | −0.624333 | + | 0.167494i | ||||
\(647\) | 15827.7i | 0.961747i | 0.876790 | + | 0.480873i | \(0.159680\pi\) | ||||
−0.876790 | + | 0.480873i | \(0.840320\pi\) | |||||||
\(648\) | 16090.5 | + | 3632.38i | 0.975453 | + | 0.220206i | ||||
\(649\) | 2864.72 | 0.173267 | ||||||||
\(650\) | −10492.6 | − | 5147.92i | −0.633160 | − | 0.310643i | ||||
\(651\) | −3535.17 | + | 2087.08i | −0.212833 | + | 0.125652i | ||||
\(652\) | 2403.00 | + | 4156.26i | 0.144338 | + | 0.249650i | ||||
\(653\) | 18484.0i | 1.10771i | 0.832613 | + | 0.553856i | \(0.186844\pi\) | ||||
−0.832613 | + | 0.553856i | \(0.813156\pi\) | |||||||
\(654\) | 4860.64 | − | 4959.03i | 0.290621 | − | 0.296504i | ||||
\(655\) | −6591.43 | + | 17559.0i | −0.393204 | + | 1.04746i | ||||
\(656\) | −16225.4 | − | 9341.34i | −0.965691 | − | 0.555973i | ||||
\(657\) | −23188.8 | − | 12793.9i | −1.37699 | − | 0.759722i | ||||
\(658\) | 189.888 | + | 707.809i | 0.0112502 | + | 0.0419350i | ||||
\(659\) | 11168.2i | 0.660169i | 0.943951 | + | 0.330084i | \(0.107077\pi\) | ||||
−0.943951 | + | 0.330084i | \(0.892923\pi\) | |||||||
\(660\) | −2124.89 | + | 1784.01i | −0.125320 | + | 0.105216i | ||||
\(661\) | 6525.85i | 0.384003i | 0.981395 | + | 0.192002i | \(0.0614979\pi\) | ||||
−0.981395 | + | 0.192002i | \(0.938502\pi\) | |||||||
\(662\) | 16987.7 | − | 4557.39i | 0.997350 | − | 0.267565i | ||||
\(663\) | −4419.87 | − | 7486.53i | −0.258905 | − | 0.438541i | ||||
\(664\) | 4796.32 | − | 4805.11i | 0.280321 | − | 0.280835i | ||||
\(665\) | 3182.90 | + | 1194.82i | 0.185606 | + | 0.0696742i | ||||
\(666\) | 6424.39 | − | 26019.5i | 0.373784 | − | 1.51387i | ||||
\(667\) | 18195.0i | 1.05624i | ||||||||
\(668\) | −4354.35 | − | 7531.34i | −0.252208 | − | 0.436222i | ||||
\(669\) | 8968.28 | + | 15190.8i | 0.518287 | + | 0.877892i | ||||
\(670\) | 883.637 | − | 9080.43i | 0.0509520 | − | 0.523593i | ||||
\(671\) | 3794.55 | 0.218312 | ||||||||
\(672\) | 3715.04 | − | 1040.33i | 0.213260 | − | 0.0597198i | ||||
\(673\) | − | 10707.9i | − | 0.613313i | −0.951820 | − | 0.306656i | \(-0.900790\pi\) | ||
0.951820 | − | 0.306656i | \(-0.0992103\pi\) | |||||||
\(674\) | −6264.22 | − | 23349.9i | −0.357995 | − | 1.33443i | ||||
\(675\) | 13535.6 | + | 11150.5i | 0.771833 | + | 0.635826i | ||||
\(676\) | −7647.65 | + | 4421.59i | −0.435119 | + | 0.251570i | ||||
\(677\) | − | 5626.13i | − | 0.319394i | −0.987166 | − | 0.159697i | \(-0.948948\pi\) | ||
0.987166 | − | 0.159697i | \(-0.0510517\pi\) | |||||||
\(678\) | −5325.88 | − | 5220.20i | −0.301680 | − | 0.295694i | ||||
\(679\) | − | 4995.21i | − | 0.282325i | ||||||
\(680\) | −11653.6 | + | 5305.17i | −0.657199 | + | 0.299182i | ||||
\(681\) | 4403.24 | + | 7458.35i | 0.247772 | + | 0.419684i | ||||
\(682\) | 3141.39 | − | 842.759i | 0.176378 | − | 0.0473181i | ||||
\(683\) | 8947.12 | 0.501247 | 0.250624 | − | 0.968085i | \(-0.419364\pi\) | ||||
0.250624 | + | 0.968085i | \(0.419364\pi\) | |||||||
\(684\) | 320.891 | + | 16010.7i | 0.0179380 | + | 0.895008i | ||||
\(685\) | −19257.1 | − | 7228.90i | −1.07413 | − | 0.403215i | ||||
\(686\) | 7497.99 | − | 2011.53i | 0.417310 | − | 0.111954i | ||||
\(687\) | −23619.2 | + | 13944.2i | −1.31168 | + | 0.774388i | ||||
\(688\) | 4482.91 | + | 2580.92i | 0.248414 | + | 0.143018i | ||||
\(689\) | − | 5911.30i | − | 0.326854i | ||||||
\(690\) | 27539.9 | − | 12841.2i | 1.51946 | − | 0.708488i | ||||
\(691\) | −2216.99 | −0.122053 | −0.0610263 | − | 0.998136i | \(-0.519437\pi\) | ||||
−0.0610263 | + | 0.998136i | \(0.519437\pi\) | |||||||
\(692\) | −1498.96 | − | 2592.61i | −0.0823435 | − | 0.142423i | ||||
\(693\) | 578.851 | + | 319.368i | 0.0317298 | + | 0.0175062i | ||||
\(694\) | 32368.2 | − | 8683.60i | 1.77043 | − | 0.474964i | ||||
\(695\) | −16729.1 | − | 6279.91i | −0.913052 | − | 0.342749i | ||||
\(696\) | −11205.3 | − | 2875.16i | −0.610254 | − | 0.156584i | ||||
\(697\) | − | 14806.3i | − | 0.804631i | ||||||
\(698\) | −2759.37 | − | 10285.6i | −0.149633 | − | 0.557757i | ||||
\(699\) | 1240.49 | + | 2101.19i | 0.0671242 | + | 0.113697i | ||||
\(700\) | 4024.62 | + | 790.778i | 0.217309 | + | 0.0426980i | ||||
\(701\) | 34614.1 | 1.86499 | 0.932493 | − | 0.361188i | \(-0.117629\pi\) | ||||
0.932493 | + | 0.361188i | \(0.117629\pi\) | |||||||
\(702\) | −12565.2 | + | 3766.70i | −0.675558 | + | 0.202514i | ||||
\(703\) | 26018.7 | 1.39589 | ||||||||
\(704\) | −3056.52 | + | 5.59236i | −0.163632 | + | 0.000299389i | ||||
\(705\) | −3614.31 | + | 636.069i | −0.193082 | + | 0.0339798i | ||||
\(706\) | 21092.9 | − | 5658.73i | 1.12442 | − | 0.301656i | ||||
\(707\) | 1891.37 | 0.100611 | ||||||||
\(708\) | 9795.03 | − | 17377.4i | 0.519943 | − | 0.922432i | ||||
\(709\) | − | 21114.8i | − | 1.11845i | −0.829015 | − | 0.559226i | \(-0.811098\pi\) | ||
0.829015 | − | 0.559226i | \(-0.188902\pi\) | |||||||
\(710\) | −33431.7 | − | 3253.31i | −1.76714 | − | 0.171964i | ||||
\(711\) | 19012.7 | + | 10489.8i | 1.00286 | + | 0.553304i | ||||
\(712\) | −17816.2 | − | 17783.6i | −0.937766 | − | 0.936052i | ||||
\(713\) | −35621.3 | −1.87101 | ||||||||
\(714\) | 2178.91 | + | 2135.67i | 0.114207 | + | 0.111941i | ||||
\(715\) | 775.409 | − | 2065.62i | 0.0405576 | − | 0.108042i | ||||
\(716\) | −7553.76 | − | 13065.1i | −0.394270 | − | 0.681935i | ||||
\(717\) | 343.809 | + | 582.355i | 0.0179076 | + | 0.0303325i | ||||
\(718\) | −3489.32 | + | 936.101i | −0.181365 | + | 0.0486560i | ||||
\(719\) | 26234.0 | 1.36073 | 0.680363 | − | 0.732875i | \(-0.261822\pi\) | ||||
0.680363 | + | 0.732875i | \(0.261822\pi\) | |||||||
\(720\) | 3556.38 | + | 18989.5i | 0.184081 | + | 0.982911i | ||||
\(721\) | −5593.50 | −0.288922 | ||||||||
\(722\) | 3722.02 | − | 998.528i | 0.191855 | − | 0.0514700i | ||||
\(723\) | −14687.8 | − | 24878.7i | −0.755525 | − | 1.27973i | ||||
\(724\) | −3949.25 | − | 6830.68i | −0.202725 | − | 0.350636i | ||||
\(725\) | −9260.72 | − | 8093.20i | −0.474393 | − | 0.414585i | ||||
\(726\) | 13596.0 | + | 13326.2i | 0.695034 | + | 0.681244i | ||||
\(727\) | −1445.23 | −0.0737287 | −0.0368643 | − | 0.999320i | \(-0.511737\pi\) | ||||
−0.0368643 | + | 0.999320i | \(0.511737\pi\) | |||||||
\(728\) | −2167.39 | + | 2171.36i | −0.110342 | + | 0.110544i | ||||
\(729\) | 19649.6 | − | 1146.65i | 0.998302 | − | 0.0582560i | ||||
\(730\) | 3004.28 | − | 30872.6i | 0.152320 | − | 1.56527i | ||||
\(731\) | 4090.83i | 0.206983i | ||||||||
\(732\) | 12974.3 | − | 23017.8i | 0.655115 | − | 1.16224i | ||||
\(733\) | −19855.7 | −1.00053 | −0.500265 | − | 0.865872i | \(-0.666764\pi\) | ||||
−0.500265 | + | 0.865872i | \(0.666764\pi\) | |||||||
\(734\) | 13316.3 | − | 3572.44i | 0.669636 | − | 0.179647i | ||||
\(735\) | 3284.32 | + | 18662.4i | 0.164822 | + | 0.936561i | ||||
\(736\) | 32347.8 | + | 8614.74i | 1.62005 | + | 0.431445i | ||||
\(737\) | 1722.31 | 0.0860815 | ||||||||
\(738\) | −21688.9 | − | 5355.12i | −1.08181 | − | 0.267106i | ||||
\(739\) | −6549.70 | −0.326028 | −0.163014 | − | 0.986624i | \(-0.552122\pi\) | ||||
−0.163014 | + | 0.986624i | \(0.552122\pi\) | |||||||
\(740\) | 30962.8 | − | 5158.84i | 1.53813 | − | 0.256274i | ||||
\(741\) | −6474.21 | − | 10966.2i | −0.320966 | − | 0.543664i | ||||
\(742\) | 537.533 | + | 2003.66i | 0.0265950 | + | 0.0991328i | ||||
\(743\) | 22234.5i | 1.09785i | 0.835870 | + | 0.548927i | \(0.184963\pi\) | ||||
−0.835870 | + | 0.548927i | \(0.815037\pi\) | |||||||
\(744\) | 5628.83 | − | 21937.2i | 0.277370 | − | 1.08099i | ||||
\(745\) | 5584.54 | + | 2096.37i | 0.274633 | + | 0.103094i | ||||
\(746\) | −27234.6 | + | 7306.39i | −1.33663 | + | 0.358587i | ||||
\(747\) | 3913.53 | − | 7093.23i | 0.191685 | − | 0.347427i | ||||
\(748\) | −1209.89 | − | 2092.63i | −0.0591414 | − | 0.102292i | ||||
\(749\) | 2570.80 | 0.125414 | ||||||||
\(750\) | −5714.03 | + | 19728.8i | −0.278196 | + | 0.960524i | ||||
\(751\) | 9278.78i | 0.450849i | 0.974261 | + | 0.225424i | \(0.0723769\pi\) | ||||
−0.974261 | + | 0.225424i | \(0.927623\pi\) | |||||||
\(752\) | −3503.71 | − | 2017.17i | −0.169903 | − | 0.0978174i | ||||
\(753\) | 29250.2 | − | 17268.7i | 1.41559 | − | 0.835730i | ||||
\(754\) | 8885.27 | − | 2383.70i | 0.429154 | − | 0.115132i | ||||
\(755\) | −12009.4 | + | 31991.8i | −0.578895 | + | 1.54212i | ||||
\(756\) | 3916.49 | − | 2419.33i | 0.188415 | − | 0.116389i | ||||
\(757\) | −990.407 | −0.0475521 | −0.0237761 | − | 0.999717i | \(-0.507569\pi\) | ||||
−0.0237761 | + | 0.999717i | \(0.507569\pi\) | |||||||
\(758\) | 10683.4 | − | 2866.11i | 0.511926 | − | 0.137337i | ||||
\(759\) | 2916.33 | + | 4939.77i | 0.139468 | + | 0.236235i | ||||
\(760\) | −17070.1 | + | 7770.99i | −0.814736 | + | 0.370899i | ||||
\(761\) | 10150.9i | 0.483533i | 0.970334 | + | 0.241766i | \(0.0777268\pi\) | ||||
−0.970334 | + | 0.241766i | \(0.922273\pi\) | |||||||
\(762\) | −21508.5 | − | 21081.7i | −1.02253 | − | 1.00225i | ||||
\(763\) | − | 1937.88i | − | 0.0919477i | ||||||
\(764\) | −24333.4 | + | 14068.7i | −1.15229 | + | 0.666213i | ||||
\(765\) | −11611.5 | + | 9930.36i | −0.548777 | + | 0.469324i | ||||
\(766\) | −1686.75 | − | 6287.38i | −0.0795625 | − | 0.296569i | ||||
\(767\) | 15863.1i | 0.746784i | ||||||||
\(768\) | −10416.9 | + | 18560.0i | −0.489437 | + | 0.872038i | ||||
\(769\) | 10878.0 | 0.510103 | 0.255051 | − | 0.966927i | \(-0.417908\pi\) | ||||
0.255051 | + | 0.966927i | \(0.417908\pi\) | |||||||
\(770\) | −74.9945 | + | 770.659i | −0.00350989 | + | 0.0360683i |