Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (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: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 44.6 | ||
Character | \(\chi\) | \(=\) | 69.44 |
Dual form | 69.2.g.a.11.6 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{13}{22}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.13923 | − | 1.77267i | 0.805556 | − | 1.25347i | −0.158392 | − | 0.987376i | \(-0.550631\pi\) |
0.963947 | − | 0.266093i | \(-0.0857327\pi\) | |||||||
\(3\) | 0.180745 | + | 1.72259i | 0.104353 | + | 0.994540i | ||||
\(4\) | −1.01370 | − | 2.21969i | −0.506850 | − | 1.10985i | ||||
\(5\) | −1.10513 | − | 0.324494i | −0.494227 | − | 0.145118i | 0.0251149 | − | 0.999685i | \(-0.492005\pi\) |
−0.519342 | + | 0.854566i | \(0.673823\pi\) | |||||||
\(6\) | 3.25951 | + | 1.64203i | 1.33069 | + | 0.670354i | ||||
\(7\) | −1.21996 | − | 1.05710i | −0.461102 | − | 0.399547i | 0.393094 | − | 0.919498i | \(-0.371405\pi\) |
−0.854196 | + | 0.519951i | \(0.825950\pi\) | |||||||
\(8\) | −0.918158 | − | 0.132011i | −0.324618 | − | 0.0466730i | ||||
\(9\) | −2.93466 | + | 0.622700i | −0.978221 | + | 0.207567i | ||||
\(10\) | −1.83421 | + | 1.58935i | −0.580029 | + | 0.502598i | ||||
\(11\) | −4.10123 | + | 2.63570i | −1.23657 | + | 0.794694i | −0.984901 | − | 0.173120i | \(-0.944615\pi\) |
−0.251667 | + | 0.967814i | \(0.580979\pi\) | |||||||
\(12\) | 3.64041 | − | 2.14739i | 1.05090 | − | 0.619898i | ||||
\(13\) | 2.30778 | + | 2.66332i | 0.640064 | + | 0.738673i | 0.979386 | − | 0.201997i | \(-0.0647432\pi\) |
−0.339322 | + | 0.940670i | \(0.610198\pi\) | |||||||
\(14\) | −3.26371 | + | 0.958312i | −0.872263 | + | 0.256120i | ||||
\(15\) | 0.359226 | − | 1.96233i | 0.0927518 | − | 0.506673i | ||||
\(16\) | 1.91599 | − | 2.21117i | 0.478998 | − | 0.552793i | ||||
\(17\) | 2.44661 | − | 5.35733i | 0.593390 | − | 1.29934i | −0.339982 | − | 0.940432i | \(-0.610421\pi\) |
0.933372 | − | 0.358910i | \(-0.116852\pi\) | |||||||
\(18\) | −2.23941 | + | 5.91159i | −0.527833 | + | 1.39338i | ||||
\(19\) | 3.45437 | − | 1.57756i | 0.792488 | − | 0.361917i | 0.0223137 | − | 0.999751i | \(-0.492897\pi\) |
0.770174 | + | 0.637834i | \(0.220169\pi\) | |||||||
\(20\) | 0.399988 | + | 2.78198i | 0.0894401 | + | 0.622070i | ||||
\(21\) | 1.60046 | − | 2.29256i | 0.349248 | − | 0.500278i | ||||
\(22\) | 10.2728i | 2.19017i | ||||||||
\(23\) | −2.74840 | + | 3.93018i | −0.573082 | + | 0.819498i | ||||
\(24\) | 0.0614494 | − | 1.60547i | 0.0125433 | − | 0.327716i | ||||
\(25\) | −3.09026 | − | 1.98599i | −0.618052 | − | 0.397198i | ||||
\(26\) | 7.35029 | − | 1.05681i | 1.44151 | − | 0.207258i | ||||
\(27\) | −1.60308 | − | 4.94268i | −0.308514 | − | 0.951220i | ||||
\(28\) | −1.10977 | + | 3.77952i | −0.209726 | + | 0.714263i | ||||
\(29\) | 4.87704 | + | 2.22727i | 0.905643 | + | 0.413593i | 0.813106 | − | 0.582116i | \(-0.197775\pi\) |
0.0925373 | + | 0.995709i | \(0.470502\pi\) | |||||||
\(30\) | −3.06934 | − | 2.87234i | −0.560382 | − | 0.524415i | ||||
\(31\) | −0.200482 | + | 1.39439i | −0.0360077 | + | 0.250439i | −0.999873 | − | 0.0159520i | \(-0.994922\pi\) |
0.963865 | + | 0.266391i | \(0.0858312\pi\) | |||||||
\(32\) | −2.25960 | − | 7.69550i | −0.399445 | − | 1.36039i | ||||
\(33\) | −5.28152 | − | 6.58837i | −0.919395 | − | 1.14689i | ||||
\(34\) | −6.70954 | − | 10.4403i | −1.15068 | − | 1.79049i | ||||
\(35\) | 1.00519 | + | 1.56410i | 0.169908 | + | 0.264381i | ||||
\(36\) | 4.35707 | + | 5.88282i | 0.726178 | + | 0.980470i | ||||
\(37\) | −0.670140 | − | 2.28229i | −0.110170 | − | 0.375206i | 0.885889 | − | 0.463898i | \(-0.153549\pi\) |
−0.996059 | + | 0.0886921i | \(0.971731\pi\) | |||||||
\(38\) | 1.13882 | − | 7.92067i | 0.184741 | − | 1.28490i | ||||
\(39\) | −4.17071 | + | 4.45676i | −0.667847 | + | 0.713652i | ||||
\(40\) | 0.971844 | + | 0.443826i | 0.153662 | + | 0.0701751i | ||||
\(41\) | 0.848837 | − | 2.89087i | 0.132566 | − | 0.451479i | −0.866277 | − | 0.499564i | \(-0.833494\pi\) |
0.998843 | + | 0.0480851i | \(0.0153119\pi\) | |||||||
\(42\) | −2.24068 | − | 5.44884i | −0.345745 | − | 0.840774i | ||||
\(43\) | 1.65948 | − | 0.238597i | 0.253068 | − | 0.0363857i | −0.0146131 | − | 0.999893i | \(-0.504652\pi\) |
0.267681 | + | 0.963508i | \(0.413743\pi\) | |||||||
\(44\) | 10.0079 | + | 6.43166i | 1.50874 | + | 0.969610i | ||||
\(45\) | 3.44524 | + | 0.264119i | 0.513585 | + | 0.0393726i | ||||
\(46\) | 3.83586 | + | 9.34938i | 0.565567 | + | 1.37849i | ||||
\(47\) | 11.0600i | 1.61327i | 0.591049 | + | 0.806636i | \(0.298714\pi\) | ||||
−0.591049 | + | 0.806636i | \(0.701286\pi\) | |||||||
\(48\) | 4.15526 | + | 2.90082i | 0.599759 | + | 0.418697i | ||||
\(49\) | −0.625364 | − | 4.34950i | −0.0893377 | − | 0.621358i | ||||
\(50\) | −7.04102 | + | 3.21553i | −0.995751 | + | 0.454744i | ||||
\(51\) | 9.67071 | + | 3.24621i | 1.35417 | + | 0.454560i | ||||
\(52\) | 3.57236 | − | 7.82238i | 0.495397 | − | 1.08477i | ||||
\(53\) | −4.00477 | + | 4.62175i | −0.550097 | + | 0.634846i | −0.960906 | − | 0.276876i | \(-0.910701\pi\) |
0.410809 | + | 0.911721i | \(0.365246\pi\) | |||||||
\(54\) | −10.5880 | − | 2.78910i | −1.44085 | − | 0.379548i | ||||
\(55\) | 5.38765 | − | 1.58196i | 0.726470 | − | 0.213311i | ||||
\(56\) | 0.980568 | + | 1.13164i | 0.131034 | + | 0.151221i | ||||
\(57\) | 3.34185 | + | 5.66535i | 0.442639 | + | 0.750394i | ||||
\(58\) | 9.50428 | − | 6.10803i | 1.24797 | − | 0.802023i | ||||
\(59\) | 4.12273 | − | 3.57237i | 0.536734 | − | 0.465083i | −0.343815 | − | 0.939037i | \(-0.611719\pi\) |
0.880549 | + | 0.473955i | \(0.157174\pi\) | |||||||
\(60\) | −4.71993 | + | 1.19185i | −0.609340 | + | 0.153867i | ||||
\(61\) | −3.50095 | − | 0.503360i | −0.448250 | − | 0.0644486i | −0.0855065 | − | 0.996338i | \(-0.527251\pi\) |
−0.362744 | + | 0.931889i | \(0.618160\pi\) | |||||||
\(62\) | 2.24339 | + | 1.94391i | 0.284911 | + | 0.246877i | ||||
\(63\) | 4.23843 | + | 2.34257i | 0.533992 | + | 0.295136i | ||||
\(64\) | −10.6012 | − | 3.11281i | −1.32516 | − | 0.389101i | ||||
\(65\) | −1.68616 | − | 3.69217i | −0.209142 | − | 0.457957i | ||||
\(66\) | −17.6959 | + | 1.85676i | −2.17821 | + | 0.228551i | ||||
\(67\) | −7.43518 | + | 11.5694i | −0.908351 | + | 1.41342i | 0.00218686 | + | 0.999998i | \(0.499304\pi\) |
−0.910538 | + | 0.413425i | \(0.864332\pi\) | |||||||
\(68\) | −14.3717 | −1.74283 | ||||||||
\(69\) | −7.26686 | − | 4.02402i | −0.874827 | − | 0.484436i | ||||
\(70\) | 3.91778 | 0.468264 | ||||||||
\(71\) | −0.504000 | + | 0.784239i | −0.0598138 | + | 0.0930720i | −0.869872 | − | 0.493277i | \(-0.835799\pi\) |
0.810059 | + | 0.586349i | \(0.199435\pi\) | |||||||
\(72\) | 2.77669 | − | 0.184329i | 0.327236 | − | 0.0217234i | ||||
\(73\) | 2.17260 | + | 4.75733i | 0.254284 | + | 0.556804i | 0.993123 | − | 0.117078i | \(-0.0373529\pi\) |
−0.738839 | + | 0.673882i | \(0.764626\pi\) | |||||||
\(74\) | −4.80919 | − | 1.41211i | −0.559057 | − | 0.164154i | ||||
\(75\) | 2.86251 | − | 5.68222i | 0.330534 | − | 0.656127i | ||||
\(76\) | −7.00339 | − | 6.06847i | −0.803344 | − | 0.696102i | ||||
\(77\) | 7.78955 | + | 1.11997i | 0.887701 | + | 0.127632i | ||||
\(78\) | 3.14899 | + | 12.4706i | 0.356552 | + | 1.41201i | ||||
\(79\) | −0.834060 | + | 0.722717i | −0.0938390 | + | 0.0813120i | −0.700517 | − | 0.713636i | \(-0.747047\pi\) |
0.606678 | + | 0.794948i | \(0.292502\pi\) | |||||||
\(80\) | −2.83492 | + | 1.82189i | −0.316954 | + | 0.203694i | ||||
\(81\) | 8.22449 | − | 3.65483i | 0.913832 | − | 0.406092i | ||||
\(82\) | −4.15755 | − | 4.79807i | −0.459125 | − | 0.529859i | ||||
\(83\) | 9.84410 | − | 2.89049i | 1.08053 | − | 0.317272i | 0.307439 | − | 0.951568i | \(-0.400528\pi\) |
0.773091 | + | 0.634295i | \(0.218710\pi\) | |||||||
\(84\) | −6.71117 | − | 1.22855i | −0.732249 | − | 0.134046i | ||||
\(85\) | −4.44223 | + | 5.12661i | −0.481828 | + | 0.556059i | ||||
\(86\) | 1.46757 | − | 3.21353i | 0.158252 | − | 0.346524i | ||||
\(87\) | −2.95518 | + | 8.80373i | −0.316829 | + | 0.943858i | ||||
\(88\) | 4.11352 | − | 1.87858i | 0.438503 | − | 0.200258i | ||||
\(89\) | −0.477689 | − | 3.32240i | −0.0506349 | − | 0.352174i | −0.999350 | − | 0.0360421i | \(-0.988525\pi\) |
0.948715 | − | 0.316132i | \(-0.102384\pi\) | |||||||
\(90\) | 4.39310 | − | 5.80638i | 0.463074 | − | 0.612047i | ||||
\(91\) | − | 5.68871i | − | 0.596339i | ||||||
\(92\) | 11.5098 | + | 2.11659i | 1.19998 | + | 0.220670i | ||||
\(93\) | −2.43820 | − | 0.0933217i | −0.252829 | − | 0.00967701i | ||||
\(94\) | 19.6058 | + | 12.5999i | 2.02219 | + | 1.29958i | ||||
\(95\) | −4.32943 | + | 0.622478i | −0.444190 | + | 0.0638649i | ||||
\(96\) | 12.8478 | − | 5.28330i | 1.31127 | − | 0.539225i | ||||
\(97\) | −3.01650 | + | 10.2733i | −0.306279 | + | 1.04309i | 0.652228 | + | 0.758023i | \(0.273835\pi\) |
−0.958507 | + | 0.285068i | \(0.907984\pi\) | |||||||
\(98\) | −8.42268 | − | 3.84651i | −0.850819 | − | 0.388556i | ||||
\(99\) | 10.3945 | − | 10.2887i | 1.04468 | − | 1.03406i | ||||
\(100\) | −1.27569 | + | 8.87262i | −0.127569 | + | 0.887262i | ||||
\(101\) | −2.20019 | − | 7.49317i | −0.218928 | − | 0.745599i | −0.993572 | − | 0.113202i | \(-0.963889\pi\) |
0.774644 | − | 0.632397i | \(-0.217929\pi\) | |||||||
\(102\) | 16.7716 | − | 13.4448i | 1.66064 | − | 1.33124i | ||||
\(103\) | −4.97262 | − | 7.73756i | −0.489967 | − | 0.762404i | 0.504945 | − | 0.863152i | \(-0.331513\pi\) |
−0.994912 | + | 0.100748i | \(0.967877\pi\) | |||||||
\(104\) | −1.76732 | − | 2.75001i | −0.173300 | − | 0.269660i | ||||
\(105\) | −2.51263 | + | 2.01423i | −0.245208 | + | 0.196569i | ||||
\(106\) | 3.63050 | + | 12.3644i | 0.352626 | + | 1.20093i | ||||
\(107\) | −0.999645 | + | 6.95268i | −0.0966393 | + | 0.672141i | 0.882703 | + | 0.469931i | \(0.155721\pi\) |
−0.979342 | + | 0.202210i | \(0.935188\pi\) | |||||||
\(108\) | −9.34619 | + | 8.56875i | −0.899338 | + | 0.824528i | ||||
\(109\) | 4.60395 | + | 2.10255i | 0.440978 | + | 0.201388i | 0.623516 | − | 0.781811i | \(-0.285704\pi\) |
−0.182537 | + | 0.983199i | \(0.558431\pi\) | |||||||
\(110\) | 3.33347 | − | 11.3527i | 0.317834 | − | 1.08244i | ||||
\(111\) | 3.81033 | − | 1.56689i | 0.361661 | − | 0.148723i | ||||
\(112\) | −4.67487 | + | 0.672144i | −0.441733 | + | 0.0635117i | ||||
\(113\) | −13.2115 | − | 8.49053i | −1.24284 | − | 0.798722i | −0.256996 | − | 0.966413i | \(-0.582733\pi\) |
−0.985840 | + | 0.167691i | \(0.946369\pi\) | |||||||
\(114\) | 13.8499 | + | 0.530105i | 1.29717 | + | 0.0496489i | ||||
\(115\) | 4.31265 | − | 3.45150i | 0.402157 | − | 0.321854i | ||||
\(116\) | − | 13.0833i | − | 1.21475i | ||||||
\(117\) | −8.43102 | − | 6.37890i | −0.779448 | − | 0.589729i | ||||
\(118\) | −1.63591 | − | 11.3780i | −0.150598 | − | 1.04743i | ||||
\(119\) | −8.64801 | + | 3.94941i | −0.792762 | + | 0.362042i | ||||
\(120\) | −0.588877 | + | 1.75431i | −0.0537569 | + | 0.160146i | ||||
\(121\) | 5.30361 | − | 11.6133i | 0.482146 | − | 1.05575i | ||||
\(122\) | −4.88067 | + | 5.63259i | −0.441875 | + | 0.509951i | ||||
\(123\) | 5.13323 | + | 0.939691i | 0.462847 | + | 0.0847291i | ||||
\(124\) | 3.29833 | − | 0.968478i | 0.296199 | − | 0.0869719i | ||||
\(125\) | 6.54197 | + | 7.54983i | 0.585131 | + | 0.675278i | ||||
\(126\) | 8.98115 | − | 4.84463i | 0.800104 | − | 0.431594i | ||||
\(127\) | −6.74790 | + | 4.33661i | −0.598779 | + | 0.384812i | −0.804634 | − | 0.593770i | \(-0.797639\pi\) |
0.205855 | + | 0.978582i | \(0.434002\pi\) | |||||||
\(128\) | −5.47242 | + | 4.74188i | −0.483698 | + | 0.419127i | ||||
\(129\) | 0.710948 | + | 2.81548i | 0.0625955 | + | 0.247890i | ||||
\(130\) | −8.46593 | − | 1.21722i | −0.742511 | − | 0.106757i | ||||
\(131\) | −6.43807 | − | 5.57862i | −0.562497 | − | 0.487406i | 0.326577 | − | 0.945171i | \(-0.394105\pi\) |
−0.889074 | + | 0.457764i | \(0.848650\pi\) | |||||||
\(132\) | −9.27028 | + | 18.4020i | −0.806874 | + | 1.60169i | ||||
\(133\) | −5.88184 | − | 1.72706i | −0.510020 | − | 0.149756i | ||||
\(134\) | 12.0383 | + | 26.3603i | 1.03995 | + | 2.27718i | ||||
\(135\) | 0.167738 | + | 5.98248i | 0.0144366 | + | 0.514890i | ||||
\(136\) | −2.95360 | + | 4.59589i | −0.253269 | + | 0.394095i | ||||
\(137\) | 9.88214 | 0.844288 | 0.422144 | − | 0.906529i | \(-0.361278\pi\) | ||||
0.422144 | + | 0.906529i | \(0.361278\pi\) | |||||||
\(138\) | −15.4119 | + | 8.29748i | −1.31195 | + | 0.706329i | ||||
\(139\) | −1.52932 | −0.129715 | −0.0648576 | − | 0.997895i | \(-0.520659\pi\) | ||||
−0.0648576 | + | 0.997895i | \(0.520659\pi\) | |||||||
\(140\) | 2.45287 | − | 3.81674i | 0.207305 | − | 0.322573i | ||||
\(141\) | −19.0519 | + | 1.99904i | −1.60446 | + | 0.168350i | ||||
\(142\) | 0.816029 | + | 1.78685i | 0.0684796 | + | 0.149949i | ||||
\(143\) | −16.4845 | − | 4.84028i | −1.37850 | − | 0.404764i | ||||
\(144\) | −4.24589 | + | 7.68213i | −0.353824 | + | 0.640177i | ||||
\(145\) | −4.66701 | − | 4.04398i | −0.387574 | − | 0.335835i | ||||
\(146\) | 10.9083 | + | 1.56837i | 0.902776 | + | 0.129800i | ||||
\(147\) | 7.37940 | − | 1.86340i | 0.608642 | − | 0.153691i | ||||
\(148\) | −4.38665 | + | 3.80106i | −0.360581 | + | 0.312445i | ||||
\(149\) | 4.03130 | − | 2.59076i | 0.330257 | − | 0.212243i | −0.364995 | − | 0.931009i | \(-0.618929\pi\) |
0.695252 | + | 0.718766i | \(0.255293\pi\) | |||||||
\(150\) | −6.81168 | − | 11.5476i | −0.556171 | − | 0.942860i | ||||
\(151\) | −3.37353 | − | 3.89326i | −0.274534 | − | 0.316829i | 0.601693 | − | 0.798727i | \(-0.294493\pi\) |
−0.876227 | + | 0.481898i | \(0.839947\pi\) | |||||||
\(152\) | −3.37992 | + | 0.992433i | −0.274147 | + | 0.0804970i | ||||
\(153\) | −3.84396 | + | 17.2454i | −0.310766 | + | 1.39421i | ||||
\(154\) | 10.8594 | − | 12.5324i | 0.875076 | − | 1.00989i | ||||
\(155\) | 0.674028 | − | 1.47592i | 0.0541393 | − | 0.118548i | ||||
\(156\) | 14.1205 | + | 4.73987i | 1.13054 | + | 0.379494i | ||||
\(157\) | 16.4337 | − | 7.50501i | 1.31155 | − | 0.598965i | 0.367887 | − | 0.929871i | \(-0.380081\pi\) |
0.943664 | + | 0.330905i | \(0.107354\pi\) | |||||||
\(158\) | 0.330957 | + | 2.30185i | 0.0263295 | + | 0.183126i | ||||
\(159\) | −8.68523 | − | 6.06323i | −0.688784 | − | 0.480845i | ||||
\(160\) | 9.23773i | 0.730307i | ||||||||
\(161\) | 7.50754 | − | 1.88932i | 0.591677 | − | 0.148899i | ||||
\(162\) | 2.89075 | − | 18.7430i | 0.227119 | − | 1.47259i | ||||
\(163\) | −3.88463 | − | 2.49650i | −0.304268 | − | 0.195541i | 0.379593 | − | 0.925154i | \(-0.376064\pi\) |
−0.683861 | + | 0.729613i | \(0.739700\pi\) | |||||||
\(164\) | −7.27732 | + | 1.04632i | −0.568263 | + | 0.0817039i | ||||
\(165\) | 3.69886 | + | 8.99480i | 0.287956 | + | 0.700244i | ||||
\(166\) | 6.09078 | − | 20.7433i | 0.472736 | − | 1.60999i | ||||
\(167\) | −14.9427 | − | 6.82411i | −1.15630 | − | 0.528065i | −0.257439 | − | 0.966295i | \(-0.582878\pi\) |
−0.898863 | + | 0.438229i | \(0.855606\pi\) | |||||||
\(168\) | −1.77212 | + | 1.89366i | −0.136722 | + | 0.146099i | ||||
\(169\) | 0.0826631 | − | 0.574935i | 0.00635870 | − | 0.0442258i | ||||
\(170\) | 4.02709 | + | 13.7150i | 0.308864 | + | 1.05189i | ||||
\(171\) | −9.15507 | + | 6.78064i | −0.700106 | + | 0.518529i | ||||
\(172\) | −2.21182 | − | 3.44167i | −0.168650 | − | 0.262425i | ||||
\(173\) | 8.24849 | + | 12.8349i | 0.627121 | + | 0.975819i | 0.998872 | + | 0.0474868i | \(0.0151212\pi\) |
−0.371751 | + | 0.928333i | \(0.621242\pi\) | |||||||
\(174\) | 12.2395 | + | 15.2680i | 0.927874 | + | 1.15747i | ||||
\(175\) | 1.67060 | + | 5.68955i | 0.126286 | + | 0.430090i | ||||
\(176\) | −2.02993 | + | 14.1185i | −0.153012 | + | 1.06422i | ||||
\(177\) | 6.89891 | + | 6.45611i | 0.518553 | + | 0.485271i | ||||
\(178\) | −6.43373 | − | 2.93818i | −0.482228 | − | 0.220226i | ||||
\(179\) | 5.70031 | − | 19.4135i | 0.426061 | − | 1.45103i | −0.414866 | − | 0.909882i | \(-0.636172\pi\) |
0.840927 | − | 0.541148i | \(-0.182010\pi\) | |||||||
\(180\) | −2.90617 | − | 7.91510i | −0.216613 | − | 0.589957i | ||||
\(181\) | 17.3467 | − | 2.49409i | 1.28937 | − | 0.185384i | 0.536697 | − | 0.843775i | \(-0.319672\pi\) |
0.752676 | + | 0.658391i | \(0.228763\pi\) | |||||||
\(182\) | −10.0842 | − | 6.48074i | −0.747493 | − | 0.480384i | ||||
\(183\) | 0.234307 | − | 6.12169i | 0.0173205 | − | 0.452528i | ||||
\(184\) | 3.04230 | − | 3.24570i | 0.224281 | − | 0.239276i | ||||
\(185\) | 2.73967i | 0.201425i | ||||||||
\(186\) | −2.94309 | + | 4.21581i | −0.215798 | + | 0.309118i | ||||
\(187\) | 4.08620 | + | 28.4202i | 0.298813 | + | 2.07829i | ||||
\(188\) | 24.5499 | − | 11.2115i | 1.79048 | − | 0.817686i | ||||
\(189\) | −3.26922 | + | 7.72451i | −0.237801 | + | 0.561875i | ||||
\(190\) | −3.82875 | + | 8.38380i | −0.277767 | + | 0.608225i | ||||
\(191\) | 2.90913 | − | 3.35732i | 0.210497 | − | 0.242927i | −0.640676 | − | 0.767811i | \(-0.721346\pi\) |
0.851174 | + | 0.524884i | \(0.175891\pi\) | |||||||
\(192\) | 3.44598 | − | 18.8243i | 0.248692 | − | 1.35852i | ||||
\(193\) | −15.6259 | + | 4.58817i | −1.12477 | + | 0.330264i | −0.790652 | − | 0.612266i | \(-0.790258\pi\) |
−0.334123 | + | 0.942530i | \(0.608440\pi\) | |||||||
\(194\) | 14.7746 | + | 17.0509i | 1.06076 | + | 1.22418i | ||||
\(195\) | 6.05535 | − | 3.57191i | 0.433633 | − | 0.255790i | ||||
\(196\) | −9.02063 | + | 5.79720i | −0.644330 | + | 0.414086i | ||||
\(197\) | 8.26866 | − | 7.16484i | 0.589118 | − | 0.510473i | −0.308514 | − | 0.951220i | \(-0.599832\pi\) |
0.897632 | + | 0.440746i | \(0.145286\pi\) | |||||||
\(198\) | −6.39688 | − | 30.1472i | −0.454606 | − | 2.14247i | ||||
\(199\) | 14.8212 | + | 2.13097i | 1.05065 | + | 0.151061i | 0.645942 | − | 0.763386i | \(-0.276465\pi\) |
0.404706 | + | 0.914447i | \(0.367374\pi\) | |||||||
\(200\) | 2.57518 | + | 2.23140i | 0.182092 | + | 0.157784i | ||||
\(201\) | −21.2732 | − | 10.7167i | −1.50049 | − | 0.755897i | ||||
\(202\) | −15.7895 | − | 4.63621i | −1.11094 | − | 0.326202i | ||||
\(203\) | −3.59535 | − | 7.87271i | −0.252344 | − | 0.552556i | ||||
\(204\) | −2.59762 | − | 24.7567i | −0.181870 | − | 1.73331i | ||||
\(205\) | −1.87614 | + | 2.91934i | −0.131036 | + | 0.203895i | ||||
\(206\) | −19.3811 | −1.35035 | ||||||||
\(207\) | 5.61831 | − | 13.2452i | 0.390500 | − | 0.920603i | ||||
\(208\) | 10.3108 | 0.714922 | ||||||||
\(209\) | −10.0092 | + | 15.5746i | −0.692351 | + | 1.07732i | ||||
\(210\) | 0.708118 | + | 6.74874i | 0.0488648 | + | 0.465708i | ||||
\(211\) | −8.96001 | − | 19.6197i | −0.616833 | − | 1.35067i | −0.917801 | − | 0.397041i | \(-0.870037\pi\) |
0.300968 | − | 0.953634i | \(-0.402690\pi\) | |||||||
\(212\) | 14.3185 | + | 4.20429i | 0.983397 | + | 0.288752i | ||||
\(213\) | −1.44202 | − | 0.726440i | −0.0988057 | − | 0.0497749i | ||||
\(214\) | 11.1860 | + | 9.69273i | 0.764660 | + | 0.662581i | ||||
\(215\) | −1.91136 | − | 0.274812i | −0.130353 | − | 0.0187420i | ||||
\(216\) | 0.819396 | + | 4.74979i | 0.0557528 | + | 0.323182i | ||||
\(217\) | 1.71859 | − | 1.48917i | 0.116665 | − | 0.101091i | ||||
\(218\) | 8.97209 | − | 5.76601i | 0.607667 | − | 0.390524i | ||||
\(219\) | −7.80227 | + | 4.60237i | −0.527228 | + | 0.311000i | ||||
\(220\) | −8.97291 | − | 10.3553i | −0.604954 | − | 0.698154i | ||||
\(221\) | 19.9145 | − | 5.84743i | 1.33960 | − | 0.393341i | ||||
\(222\) | 1.56325 | − | 8.53951i | 0.104918 | − | 0.573135i | ||||
\(223\) | 1.96233 | − | 2.26465i | 0.131407 | − | 0.151652i | −0.686232 | − | 0.727382i | \(-0.740737\pi\) |
0.817640 | + | 0.575730i | \(0.195282\pi\) | |||||||
\(224\) | −5.37830 | + | 11.7768i | −0.359353 | + | 0.786874i | ||||
\(225\) | 10.3055 | + | 3.90390i | 0.687036 | + | 0.260260i | ||||
\(226\) | −30.1019 | + | 13.7471i | −2.00235 | + | 0.914441i | ||||
\(227\) | 0.473354 | + | 3.29225i | 0.0314176 | + | 0.218514i | 0.999482 | − | 0.0321880i | \(-0.0102475\pi\) |
−0.968064 | + | 0.250702i | \(0.919338\pi\) | |||||||
\(228\) | 9.18769 | − | 13.1608i | 0.608470 | − | 0.871599i | ||||
\(229\) | 14.4101i | 0.952245i | 0.879379 | + | 0.476123i | \(0.157958\pi\) | ||||
−0.879379 | + | 0.476123i | \(0.842042\pi\) | |||||||
\(230\) | −1.20529 | − | 11.5770i | −0.0794742 | − | 0.763362i | ||||
\(231\) | −0.521330 | + | 13.6207i | −0.0343010 | + | 0.896174i | ||||
\(232\) | −4.18387 | − | 2.68881i | −0.274684 | − | 0.176529i | ||||
\(233\) | 12.7966 | − | 1.83987i | 0.838334 | − | 0.120534i | 0.290243 | − | 0.956953i | \(-0.406264\pi\) |
0.548091 | + | 0.836419i | \(0.315355\pi\) | |||||||
\(234\) | −20.9125 | + | 7.67842i | −1.36710 | + | 0.501954i | ||||
\(235\) | 3.58892 | − | 12.2227i | 0.234115 | − | 0.797323i | ||||
\(236\) | −12.1088 | − | 5.52989i | −0.788214 | − | 0.359965i | ||||
\(237\) | −1.39570 | − | 1.30612i | −0.0906604 | − | 0.0848416i | ||||
\(238\) | −2.85103 | + | 19.8294i | −0.184805 | + | 1.28535i | ||||
\(239\) | 1.21215 | + | 4.12821i | 0.0784077 | + | 0.267032i | 0.989362 | − | 0.145476i | \(-0.0464712\pi\) |
−0.910954 | + | 0.412508i | \(0.864653\pi\) | |||||||
\(240\) | −3.65078 | − | 4.55412i | −0.235657 | − | 0.293967i | ||||
\(241\) | 11.2648 | + | 17.5284i | 0.725631 | + | 1.12910i | 0.986505 | + | 0.163731i | \(0.0523528\pi\) |
−0.260874 | + | 0.965373i | \(0.584011\pi\) | |||||||
\(242\) | −14.5445 | − | 22.6317i | −0.934959 | − | 1.45482i | ||||
\(243\) | 7.78232 | + | 13.5069i | 0.499236 | + | 0.866466i | ||||
\(244\) | 2.43160 | + | 8.28128i | 0.155667 | + | 0.530154i | ||||
\(245\) | −0.720283 | + | 5.00968i | −0.0460172 | + | 0.320056i | ||||
\(246\) | 7.51368 | − | 8.02901i | 0.479055 | − | 0.511911i | ||||
\(247\) | 12.1735 | + | 5.55945i | 0.774581 | + | 0.353739i | ||||
\(248\) | 0.368149 | − | 1.25380i | 0.0233775 | − | 0.0796164i | ||||
\(249\) | 6.75841 | + | 16.4350i | 0.428297 | + | 1.04152i | ||||
\(250\) | 20.8362 | − | 2.99579i | 1.31780 | − | 0.189470i | ||||
\(251\) | 6.46799 | + | 4.15672i | 0.408256 | + | 0.262370i | 0.728611 | − | 0.684927i | \(-0.240166\pi\) |
−0.320356 | + | 0.947297i | \(0.603802\pi\) | |||||||
\(252\) | 0.903285 | − | 11.7827i | 0.0569016 | − | 0.742239i | ||||
\(253\) | 0.913067 | − | 23.3625i | 0.0574040 | − | 1.46879i | ||||
\(254\) | 16.9022i | 1.06054i | ||||||||
\(255\) | −9.63398 | − | 6.72556i | −0.603303 | − | 0.421171i | ||||
\(256\) | −0.973349 | − | 6.76979i | −0.0608343 | − | 0.423112i | ||||
\(257\) | −9.89851 | + | 4.52050i | −0.617452 | + | 0.281981i | −0.699483 | − | 0.714649i | \(-0.746587\pi\) |
0.0820313 | + | 0.996630i | \(0.473859\pi\) | |||||||
\(258\) | 5.80086 | + | 1.94720i | 0.361146 | + | 0.121227i | ||||
\(259\) | −1.59507 | + | 3.49271i | −0.0991126 | + | 0.217026i | ||||
\(260\) | −6.48623 | + | 7.48550i | −0.402259 | + | 0.464231i | ||||
\(261\) | −15.6994 | − | 3.49935i | −0.971767 | − | 0.216604i | ||||
\(262\) | −17.2235 | + | 5.05728i | −1.06407 | + | 0.312440i | ||||
\(263\) | −4.11436 | − | 4.74823i | −0.253703 | − | 0.292788i | 0.614584 | − | 0.788851i | \(-0.289324\pi\) |
−0.868286 | + | 0.496063i | \(0.834778\pi\) | |||||||
\(264\) | 3.97953 | + | 6.74639i | 0.244923 | + | 0.415211i | ||||
\(265\) | 5.92550 | − | 3.80809i | 0.364001 | − | 0.233929i | ||||
\(266\) | −9.76228 | + | 8.45906i | −0.598564 | + | 0.518658i | ||||
\(267\) | 5.63681 | − | 1.42337i | 0.344967 | − | 0.0871089i | ||||
\(268\) | 33.2175 | + | 4.77595i | 2.02908 | + | 0.291738i | ||||
\(269\) | −3.93980 | − | 3.41386i | −0.240214 | − | 0.208147i | 0.526431 | − | 0.850218i | \(-0.323530\pi\) |
−0.766645 | + | 0.642071i | \(0.778075\pi\) | |||||||
\(270\) | 10.7961 | + | 6.51806i | 0.657028 | + | 0.396677i | ||||
\(271\) | 14.5378 | + | 4.26869i | 0.883110 | + | 0.259305i | 0.691682 | − | 0.722202i | \(-0.256870\pi\) |
0.191428 | + | 0.981507i | \(0.438688\pi\) | |||||||
\(272\) | −7.15828 | − | 15.6745i | −0.434035 | − | 0.950403i | ||||
\(273\) | 9.79935 | − | 1.02821i | 0.593083 | − | 0.0622298i | ||||
\(274\) | 11.2580 | − | 17.5178i | 0.680121 | − | 1.05829i | ||||
\(275\) | 17.9083 | 1.07991 | ||||||||
\(276\) | −1.56568 | + | 20.2093i | −0.0942432 | + | 1.21646i | ||||
\(277\) | −25.5985 | −1.53806 | −0.769031 | − | 0.639211i | \(-0.779261\pi\) | ||||
−0.769031 | + | 0.639211i | \(0.779261\pi\) | |||||||
\(278\) | −1.74224 | + | 2.71099i | −0.104493 | + | 0.162594i | ||||
\(279\) | −0.279936 | − | 4.21689i | −0.0167593 | − | 0.252459i | ||||
\(280\) | −0.716442 | − | 1.56879i | −0.0428156 | − | 0.0937531i | ||||
\(281\) | −2.87252 | − | 0.843447i | −0.171360 | − | 0.0503158i | 0.194927 | − | 0.980818i | \(-0.437553\pi\) |
−0.366287 | + | 0.930502i | \(0.619371\pi\) | |||||||
\(282\) | −18.1609 | + | 36.0502i | −1.08146 | + | 2.14676i | ||||
\(283\) | −8.46660 | − | 7.33635i | −0.503287 | − | 0.436101i | 0.365848 | − | 0.930674i | \(-0.380779\pi\) |
−0.869136 | + | 0.494573i | \(0.835324\pi\) | |||||||
\(284\) | 2.25167 | + | 0.323742i | 0.133612 | + | 0.0192105i | ||||
\(285\) | −1.85480 | − | 7.34534i | −0.109869 | − | 0.435100i | ||||
\(286\) | −27.3598 | + | 23.7074i | −1.61782 | + | 1.40185i | ||||
\(287\) | −4.09150 | + | 2.62945i | −0.241513 | + | 0.155211i | ||||
\(288\) | 11.4232 | + | 21.1766i | 0.673116 | + | 1.24785i | ||||
\(289\) | −11.5824 | − | 13.3668i | −0.681318 | − | 0.786283i | ||||
\(290\) | −12.4854 | + | 3.66606i | −0.733171 | + | 0.215278i | ||||
\(291\) | −18.2419 | − | 3.33937i | −1.06936 | − | 0.195757i | ||||
\(292\) | 8.35745 | − | 9.64501i | 0.489083 | − | 0.564432i | ||||
\(293\) | −2.74244 | + | 6.00510i | −0.160215 | + | 0.350822i | −0.972666 | − | 0.232207i | \(-0.925405\pi\) |
0.812451 | + | 0.583029i | \(0.198133\pi\) | |||||||
\(294\) | 5.10362 | − | 15.2041i | 0.297649 | − | 0.886721i | ||||
\(295\) | −5.71535 | + | 2.61011i | −0.332761 | + | 0.151967i | ||||
\(296\) | 0.314007 | + | 2.18397i | 0.0182513 | + | 0.126940i | ||||
\(297\) | 19.6021 | + | 16.0458i | 1.13743 | + | 0.931074i | ||||
\(298\) | − | 10.0976i | − | 0.584940i | ||||||
\(299\) | −16.8100 | + | 1.75011i | −0.972150 | + | 0.101211i | ||||
\(300\) | −15.5145 | − | 0.593816i | −0.895730 | − | 0.0342840i | ||||
\(301\) | −2.27672 | − | 1.46316i | −0.131228 | − | 0.0843351i | ||||
\(302\) | −10.7447 | + | 1.54485i | −0.618288 | + | 0.0888963i | ||||
\(303\) | 12.5100 | − | 5.14440i | 0.718682 | − | 0.295538i | ||||
\(304\) | 3.13029 | − | 10.6608i | 0.179535 | − | 0.611439i | ||||
\(305\) | 3.70565 | + | 1.69231i | 0.212185 | + | 0.0969016i | ||||
\(306\) | 26.1914 | + | 26.4606i | 1.49726 | + | 1.51265i | ||||
\(307\) | 2.52687 | − | 17.5748i | 0.144216 | − | 1.00305i | −0.781250 | − | 0.624218i | \(-0.785418\pi\) |
0.925467 | − | 0.378829i | \(-0.123673\pi\) | |||||||
\(308\) | −5.41028 | − | 18.4257i | −0.308279 | − | 1.04990i | ||||
\(309\) | 12.4299 | − | 9.96434i | 0.707112 | − | 0.566851i | ||||
\(310\) | −1.84844 | − | 2.87624i | −0.104985 | − | 0.163359i | ||||
\(311\) | 8.83560 | + | 13.7485i | 0.501021 | + | 0.779604i | 0.996005 | − | 0.0892980i | \(-0.0284624\pi\) |
−0.494984 | + | 0.868902i | \(0.664826\pi\) | |||||||
\(312\) | 4.41771 | − | 3.54143i | 0.250104 | − | 0.200494i | ||||
\(313\) | 0.0389593 | + | 0.132683i | 0.00220211 | + | 0.00749969i | 0.960587 | − | 0.277981i | \(-0.0896651\pi\) |
−0.958385 | + | 0.285480i | \(0.907847\pi\) | |||||||
\(314\) | 5.41778 | − | 37.6815i | 0.305743 | − | 2.12649i | ||||
\(315\) | −3.92385 | − | 3.96418i | −0.221084 | − | 0.223356i | ||||
\(316\) | 2.44969 | + | 1.11874i | 0.137806 | + | 0.0629339i | ||||
\(317\) | −9.10251 | + | 31.0003i | −0.511248 | + | 1.74115i | 0.147768 | + | 0.989022i | \(0.452791\pi\) |
−0.659016 | + | 0.752129i | \(0.729027\pi\) | |||||||
\(318\) | −20.6426 | + | 8.48868i | −1.15758 | + | 0.476022i | ||||
\(319\) | −25.8723 | + | 3.71987i | −1.44857 | + | 0.208273i | ||||
\(320\) | 10.7056 | + | 6.88009i | 0.598463 | + | 0.384609i | ||||
\(321\) | −12.1573 | − | 0.465321i | −0.678556 | − | 0.0259717i | ||||
\(322\) | 5.20366 | − | 15.4608i | 0.289988 | − | 0.861596i | ||||
\(323\) | − | 22.3659i | − | 1.24447i | ||||||
\(324\) | −16.4498 | − | 14.5509i | −0.913875 | − | 0.808385i | ||||
\(325\) | −1.84232 | − | 12.8136i | −0.102193 | − | 0.710770i | ||||
\(326\) | −8.85095 | + | 4.04209i | −0.490209 | + | 0.223871i | ||||
\(327\) | −2.78971 | + | 8.31077i | −0.154271 | + | 0.459586i | ||||
\(328\) | −1.16099 | + | 2.54222i | −0.0641052 | + | 0.140371i | ||||
\(329\) | 11.6916 | − | 13.4928i | 0.644578 | − | 0.743882i | ||||
\(330\) | 20.1587 | + | 3.69026i | 1.10970 | + | 0.203142i | ||||
\(331\) | 12.6002 | − | 3.69974i | 0.692568 | − | 0.203356i | 0.0835394 | − | 0.996504i | \(-0.473378\pi\) |
0.609029 | + | 0.793148i | \(0.291559\pi\) | |||||||
\(332\) | −16.3950 | − | 18.9208i | −0.899790 | − | 1.03841i | ||||
\(333\) | 3.38781 | + | 6.28045i | 0.185651 | + | 0.344166i | ||||
\(334\) | −29.1201 | + | 18.7143i | −1.59338 | + | 1.02400i | ||||
\(335\) | 11.9710 | − | 10.3729i | 0.654046 | − | 0.566734i | ||||
\(336\) | −2.00279 | − | 7.93141i | −0.109261 | − | 0.432694i | ||||
\(337\) | 27.5905 | + | 3.96691i | 1.50295 | + | 0.216091i | 0.844100 | − | 0.536185i | \(-0.180135\pi\) |
0.658847 | + | 0.752277i | \(0.271044\pi\) | |||||||
\(338\) | −0.924999 | − | 0.801516i | −0.0503133 | − | 0.0435967i | ||||
\(339\) | 12.2378 | − | 24.2927i | 0.664667 | − | 1.31940i | ||||
\(340\) | 15.8826 | + | 4.66355i | 0.861354 | + | 0.252916i | ||||
\(341\) | −2.85296 | − | 6.24711i | −0.154496 | − | 0.338300i | ||||
\(342\) | 1.59015 | + | 23.9536i | 0.0859854 | + | 1.29526i | ||||
\(343\) | −9.94402 | + | 15.4732i | −0.536926 | + | 0.835474i | ||||
\(344\) | −1.55516 | −0.0838487 | ||||||||
\(345\) | 6.72502 | + | 6.80511i | 0.362063 | + | 0.366375i | ||||
\(346\) | 32.1490 | 1.72834 | ||||||||
\(347\) | 6.69478 | − | 10.4173i | 0.359395 | − | 0.559229i | −0.613728 | − | 0.789518i | \(-0.710331\pi\) |
0.973122 | + | 0.230289i | \(0.0739671\pi\) | |||||||
\(348\) | 22.5372 | − | 2.36474i | 1.20812 | − | 0.126763i | ||||
\(349\) | 3.03180 | + | 6.63872i | 0.162289 | + | 0.355362i | 0.973254 | − | 0.229732i | \(-0.0737848\pi\) |
−0.810965 | + | 0.585094i | \(0.801058\pi\) | |||||||
\(350\) | 11.9889 | + | 3.52026i | 0.640834 | + | 0.188166i | ||||
\(351\) | 9.46439 | − | 15.6762i | 0.505172 | − | 0.836732i | ||||
\(352\) | 29.5502 | + | 25.6054i | 1.57503 | + | 1.36477i | ||||
\(353\) | −4.59822 | − | 0.661124i | −0.244739 | − | 0.0351881i | 0.0188538 | − | 0.999822i | \(-0.493998\pi\) |
−0.263592 | + | 0.964634i | \(0.584907\pi\) | |||||||
\(354\) | 19.3040 | − | 4.87452i | 1.02600 | − | 0.259078i | ||||
\(355\) | 0.811464 | − | 0.703138i | 0.0430681 | − | 0.0373187i | ||||
\(356\) | −6.89047 | + | 4.42824i | −0.365194 | + | 0.234696i | ||||
\(357\) | −8.36632 | − | 14.1832i | −0.442793 | − | 0.750653i | ||||
\(358\) | −27.9198 | − | 32.2211i | −1.47561 | − | 1.70294i | ||||
\(359\) | −36.2436 | + | 10.6421i | −1.91286 | + | 0.561667i | −0.933940 | + | 0.357429i | \(0.883653\pi\) |
−0.978921 | + | 0.204238i | \(0.934528\pi\) | |||||||
\(360\) | −3.12840 | − | 0.697313i | −0.164881 | − | 0.0367516i | ||||
\(361\) | −2.99835 | + | 3.46029i | −0.157808 | + | 0.182120i | ||||
\(362\) | 15.3407 | − | 33.5914i | 0.806289 | − | 1.76553i | ||||
\(363\) | 20.9636 | + | 7.03693i | 1.10030 | + | 0.369343i | ||||
\(364\) | −12.6272 | + | 5.76665i | −0.661845 | + | 0.302254i | ||||
\(365\) | −0.857271 | − | 5.96245i | −0.0448716 | − | 0.312089i | ||||
\(366\) | −10.5848 | − | 7.38935i | −0.553278 | − | 0.386247i | ||||
\(367\) | − | 33.5080i | − | 1.74910i | −0.484931 | − | 0.874552i | \(-0.661155\pi\) | ||
0.484931 | − | 0.874552i | \(-0.338845\pi\) | |||||||
\(368\) | 3.42438 | + | 13.6074i | 0.178508 | + | 0.709333i | ||||
\(369\) | −0.690903 | + | 9.01231i | −0.0359670 | + | 0.469162i | ||||
\(370\) | 4.85654 | + | 3.12111i | 0.252480 | + | 0.162259i | ||||
\(371\) | 9.77132 | − | 1.40490i | 0.507301 | − | 0.0729389i | ||||
\(372\) | 2.26445 | + | 5.50664i | 0.117406 | + | 0.285506i | ||||
\(373\) | −9.21175 | + | 31.3723i | −0.476966 | + | 1.62440i | 0.272359 | + | 0.962196i | \(0.412196\pi\) |
−0.749325 | + | 0.662202i | \(0.769622\pi\) | |||||||
\(374\) | 55.0348 | + | 25.1335i | 2.84578 | + | 1.29962i | ||||
\(375\) | −11.8229 | + | 12.6337i | −0.610531 | + | 0.652404i | ||||
\(376\) | 1.46005 | − | 10.1549i | 0.0752962 | − | 0.523697i | ||||
\(377\) | 5.32321 | + | 18.1292i | 0.274159 | + | 0.933700i | ||||
\(378\) | 9.96864 | + | 14.5952i | 0.512731 | + | 0.750698i | ||||
\(379\) | 9.12285 | + | 14.1954i | 0.468609 | + | 0.729170i | 0.992451 | − | 0.122646i | \(-0.0391378\pi\) |
−0.523841 | + | 0.851816i | \(0.675501\pi\) | |||||||
\(380\) | 5.77045 | + | 8.97899i | 0.296018 | + | 0.460613i | ||||
\(381\) | −8.68987 | − | 10.8401i | −0.445196 | − | 0.555354i | ||||
\(382\) | −2.63726 | − | 8.98168i | −0.134934 | − | 0.459543i | ||||
\(383\) | 0.766927 | − | 5.33409i | 0.0391881 | − | 0.272560i | −0.960801 | − | 0.277239i | \(-0.910581\pi\) |
0.999989 | + | 0.00467976i | \(0.00148962\pi\) | |||||||
\(384\) | −9.15744 | − | 8.56968i | −0.467314 | − | 0.437320i | ||||
\(385\) | −8.24501 | − | 3.76537i | −0.420205 | − | 0.191901i | ||||
\(386\) | −9.66810 | + | 32.9265i | −0.492093 | + | 1.67592i | ||||
\(387\) | −4.72144 | + | 1.73356i | −0.240004 | + | 0.0881218i | ||||
\(388\) | 25.8613 | − | 3.71829i | 1.31291 | − | 0.188768i | ||||
\(389\) | −9.42018 | − | 6.05398i | −0.477622 | − | 0.306949i | 0.279588 | − | 0.960120i | \(-0.409802\pi\) |
−0.757211 | + | 0.653171i | \(0.773438\pi\) | |||||||
\(390\) | 0.566598 | − | 14.8034i | 0.0286908 | − | 0.749598i | ||||
\(391\) | 14.3310 | + | 24.3397i | 0.724748 | + | 1.23091i | ||||
\(392\) | 4.07609i | 0.205873i | ||||||||
\(393\) | 8.44605 | − | 12.0985i | 0.426047 | − | 0.610288i | ||||
\(394\) | −3.28102 | − | 22.8200i | −0.165295 | − | 1.14966i | ||||
\(395\) | 1.15626 | − | 0.528046i | 0.0581777 | − | 0.0265689i | ||||
\(396\) | −33.3747 | − | 12.6429i | −1.67714 | − | 0.635328i | ||||
\(397\) | −13.3334 | + | 29.1961i | −0.669185 | + | 1.46531i | 0.204524 | + | 0.978861i | \(0.434435\pi\) |
−0.873709 | + | 0.486449i | \(0.838292\pi\) | |||||||
\(398\) | 20.6623 | − | 23.8455i | 1.03571 | − | 1.19527i | ||||
\(399\) | 1.91192 | − | 10.4442i | 0.0957157 | − | 0.522863i | ||||
\(400\) | −10.3123 | + | 3.02796i | −0.515613 | + | 0.151398i | ||||
\(401\) | −17.7005 | − | 20.4275i | −0.883923 | − | 1.02010i | −0.999640 | − | 0.0268193i | \(-0.991462\pi\) |
0.115717 | − | 0.993282i | \(-0.463083\pi\) | |||||||
\(402\) | −43.2322 | + | 25.5016i | −2.15623 | + | 1.27191i | ||||
\(403\) | −4.17637 | + | 2.68399i | −0.208040 | + | 0.133699i | ||||
\(404\) | −14.4022 | + | 12.4796i | −0.716537 | + | 0.620882i | ||||
\(405\) | −10.2751 | + | 1.37025i | −0.510572 | + | 0.0680882i | ||||
\(406\) | −18.0517 | − | 2.59544i | −0.895889 | − | 0.128809i | ||||
\(407\) | 8.76382 | + | 7.59390i | 0.434407 | + | 0.376416i | ||||
\(408\) | −8.45071 | − | 4.25717i | −0.418372 | − | 0.210761i | ||||
\(409\) | −15.4507 | − | 4.53673i | −0.763988 | − | 0.224327i | −0.123551 | − | 0.992338i | \(-0.539428\pi\) |
−0.640436 | + | 0.768011i | \(0.721247\pi\) | |||||||
\(410\) | 3.03767 | + | 6.65158i | 0.150020 | + | 0.328498i | ||||
\(411\) | 1.78615 | + | 17.0229i | 0.0881041 | + | 0.839678i | ||||
\(412\) | −12.1342 | + | 18.8813i | −0.597811 | + | 0.930213i | ||||
\(413\) | −8.80593 | −0.433312 | ||||||||
\(414\) | −17.0788 | − | 25.0487i | −0.839378 | − | 1.23108i | ||||
\(415\) | −11.8169 | −0.580070 | ||||||||
\(416\) | 15.2809 | − | 23.7776i | 0.749210 | − | 1.16579i | ||||
\(417\) | −0.276417 | − | 2.63440i | −0.0135362 | − | 0.129007i | ||||
\(418\) | 16.2060 | + | 35.4861i | 0.792659 | + | 1.73568i | ||||
\(419\) | 7.13619 | + | 2.09537i | 0.348626 | + | 0.102366i | 0.451357 | − | 0.892343i | \(-0.350940\pi\) |
−0.102732 | + | 0.994709i | \(0.532758\pi\) | |||||||
\(420\) | 7.01803 | + | 3.53544i | 0.342445 | + | 0.172512i | ||||
\(421\) | −3.58919 | − | 3.11005i | −0.174926 | − | 0.151575i | 0.562997 | − | 0.826459i | \(-0.309648\pi\) |
−0.737924 | + | 0.674884i | \(0.764194\pi\) | |||||||
\(422\) | −44.9868 | − | 6.46812i | −2.18992 | − | 0.314863i | ||||
\(423\) | −6.88708 | − | 32.4575i | −0.334861 | − | 1.57814i | ||||
\(424\) | 4.28713 | − | 3.71482i | 0.208201 | − | 0.180408i | ||||
\(425\) | −18.2003 | + | 11.6966i | −0.882842 | + | 0.567368i | ||||
\(426\) | −2.93053 | + | 1.72865i | −0.141985 | + | 0.0837534i | ||||
\(427\) | 3.73891 | + | 4.31494i | 0.180939 | + | 0.208814i | ||||
\(428\) | 16.4462 | − | 4.82903i | 0.794955 | − | 0.233420i | ||||
\(429\) | 5.35835 | − | 29.2709i | 0.258704 | − | 1.41321i | ||||
\(430\) | −2.66462 | + | 3.07514i | −0.128499 | + | 0.148296i | ||||
\(431\) | −12.0473 | + | 26.3800i | −0.580299 | + | 1.27068i | 0.360830 | + | 0.932632i | \(0.382493\pi\) |
−0.941129 | + | 0.338047i | \(0.890234\pi\) | |||||||
\(432\) | −14.0006 | − | 5.92544i | −0.673605 | − | 0.285088i | ||||
\(433\) | −1.42394 | + | 0.650293i | −0.0684303 | + | 0.0312511i | −0.449336 | − | 0.893363i | \(-0.648339\pi\) |
0.380906 | + | 0.924614i | \(0.375612\pi\) | |||||||
\(434\) | −0.681939 | − | 4.74299i | −0.0327341 | − | 0.227671i | ||||
\(435\) | 6.12261 | − | 8.77029i | 0.293557 | − | 0.420503i | ||||
\(436\) | − | 12.3507i | − | 0.591492i | ||||||
\(437\) | −3.29392 | + | 17.9121i | −0.157570 | + | 0.856850i | ||||
\(438\) | −0.730056 | + | 19.0740i | −0.0348834 | + | 0.911392i | ||||
\(439\) | −13.9049 | − | 8.93611i | −0.663643 | − | 0.426497i | 0.164986 | − | 0.986296i | \(-0.447242\pi\) |
−0.828629 | + | 0.559799i | \(0.810878\pi\) | |||||||
\(440\) | −5.15555 | + | 0.741256i | −0.245781 | + | 0.0353380i | ||||
\(441\) | 4.54367 | + | 12.3749i | 0.216365 | + | 0.589281i | ||||
\(442\) | 12.3216 | − | 41.9635i | 0.586079 | − | 1.99600i | ||||
\(443\) | 36.9045 | + | 16.8537i | 1.75338 | + | 0.800744i | 0.987471 | + | 0.157800i | \(0.0504400\pi\) |
0.765913 | + | 0.642944i | \(0.222287\pi\) | |||||||
\(444\) | −7.34055 | − | 6.86940i | −0.348367 | − | 0.326007i | ||||
\(445\) | −0.550194 | + | 3.82668i | −0.0260817 | + | 0.181402i | ||||
\(446\) | −1.77894 | − | 6.05851i | −0.0842353 | − | 0.286879i | ||||
\(447\) | 5.19146 | + | 6.47602i | 0.245548 | + | 0.306305i | ||||
\(448\) | 9.64255 | + | 15.0041i | 0.455568 | + | 0.708877i | ||||
\(449\) | −6.14859 | − | 9.56739i | −0.290170 | − | 0.451513i | 0.665311 | − | 0.746566i | \(-0.268299\pi\) |
−0.955481 | + | 0.295053i | \(0.904663\pi\) | |||||||
\(450\) | 18.6607 | − | 13.8209i | 0.879674 | − | 0.651525i | ||||
\(451\) | 4.13820 | + | 14.0934i | 0.194860 | + | 0.663633i | ||||
\(452\) | −5.45385 | + | 37.9323i | −0.256527 | + | 1.78419i | ||||
\(453\) | 6.09676 | − | 6.51491i | 0.286451 | − | 0.306097i | ||||
\(454\) | 6.37534 | + | 2.91152i | 0.299210 | + | 0.136645i | ||||
\(455\) | −1.84596 | + | 6.28675i | −0.0865397 | + | 0.294727i | ||||
\(456\) | −2.32046 | − | 5.64285i | −0.108666 | − | 0.264251i | ||||
\(457\) | 19.0145 | − | 2.73387i | 0.889458 | − | 0.127885i | 0.317588 | − | 0.948229i | \(-0.397127\pi\) |
0.571870 | + | 0.820344i | \(0.306218\pi\) | |||||||
\(458\) | 25.5444 | + | 16.4164i | 1.19361 | + | 0.767087i | ||||
\(459\) | −30.4017 | − | 3.50456i | −1.41903 | − | 0.163579i | ||||
\(460\) | −12.0330 | − | 6.07398i | −0.561041 | − | 0.283201i | ||||
\(461\) | 2.64425i | 0.123155i | 0.998102 | + | 0.0615776i | \(0.0196132\pi\) | ||||
−0.998102 | + | 0.0615776i | \(0.980387\pi\) | |||||||
\(462\) | 23.5511 | + | 16.4412i | 1.09569 | + | 0.764913i | ||||
\(463\) | 2.69828 | + | 18.7669i | 0.125400 | + | 0.872173i | 0.951280 | + | 0.308328i | \(0.0997695\pi\) |
−0.825880 | + | 0.563845i | \(0.809321\pi\) | |||||||
\(464\) | 14.2692 | − | 6.51654i | 0.662432 | − | 0.302523i | ||||
\(465\) | 2.66423 | + | 0.894313i | 0.123551 | + | 0.0414728i | ||||
\(466\) | 11.3168 | − | 24.7802i | 0.524239 | − | 1.14792i | ||||
\(467\) | −21.7892 | + | 25.1460i | −1.00828 | + | 1.16362i | −0.0217982 | + | 0.999762i | \(0.506939\pi\) |
−0.986484 | + | 0.163857i | \(0.947606\pi\) | |||||||
\(468\) | −5.61268 | + | 25.1805i | −0.259446 | + | 1.16397i | ||||
\(469\) | 21.3006 | − | 6.25443i | 0.983571 | − | 0.288803i | ||||
\(470\) | −17.5783 | − | 20.2864i | −0.810827 | − | 0.935744i | ||||
\(471\) | 15.8984 | + | 26.9521i | 0.732559 | + | 1.24189i | ||||
\(472\) | −4.25691 | + | 2.73575i | −0.195940 | + | 0.125923i | ||||
\(473\) | −6.17704 | + | 5.35243i | −0.284020 | + | 0.246105i | ||||
\(474\) | −3.90534 | + | 0.986152i | −0.179378 | + | 0.0452955i | ||||
\(475\) | −13.8079 | − | 1.98528i | −0.633551 | − | 0.0910909i | ||||
\(476\) | 17.5330 | + | 15.1924i | 0.803622 | + | 0.696343i | ||||
\(477\) | 8.87467 | − | 16.0570i | 0.406343 | − | 0.735201i | ||||
\(478\) | 8.69889 | + | 2.55422i | 0.397878 | + | 0.116828i | ||||
\(479\) | −1.71798 | − | 3.76184i | −0.0784963 | − | 0.171883i | 0.866315 | − | 0.499498i | \(-0.166482\pi\) |
−0.944811 | + | 0.327615i | \(0.893755\pi\) | |||||||
\(480\) | −15.9129 | + | 1.66967i | −0.726319 | + | 0.0762098i | ||||
\(481\) | 4.53193 | − | 7.05182i | 0.206638 | − | 0.321535i | ||||
\(482\) | 43.9053 | 1.99983 | ||||||||
\(483\) | 4.61148 | + | 12.5910i | 0.209830 | + | 0.572909i | ||||
\(484\) | −31.1542 | −1.41610 | ||||||||
\(485\) | 6.66723 | − | 10.3744i | 0.302743 | − | 0.471078i | ||||
\(486\) | 32.8091 | + | 1.59188i | 1.48825 | + | 0.0722093i | ||||
\(487\) | −3.22113 | − | 7.05330i | −0.145963 | − | 0.319615i | 0.822502 | − | 0.568762i | \(-0.192577\pi\) |
−0.968466 | + | 0.249146i | \(0.919850\pi\) | |||||||
\(488\) | 3.14797 | + | 0.924328i | 0.142502 | + | 0.0418424i | ||||
\(489\) | 3.59833 | − | 7.14287i | 0.162722 | − | 0.323012i | ||||
\(490\) | 8.05995 | + | 6.98399i | 0.364112 | + | 0.315504i | ||||
\(491\) | −8.12547 | − | 1.16827i | −0.366697 | − | 0.0527231i | −0.0434967 | − | 0.999054i | \(-0.513850\pi\) |
−0.323201 | + | 0.946330i | \(0.604759\pi\) | |||||||
\(492\) | −3.11772 | − | 12.3467i | −0.140558 | − | 0.556634i | ||||
\(493\) | 23.8644 | − | 20.6786i | 1.07480 | − | 0.931318i | ||||
\(494\) | 23.7235 | − | 15.2461i | 1.06737 | − | 0.685956i | ||||
\(495\) | −14.8258 | + | 7.99740i | −0.666372 | + | 0.359456i | ||||
\(496\) | 2.69910 | + | 3.11493i | 0.121193 | + | 0.139864i | ||||
\(497\) | 1.44388 | − | 0.423962i | 0.0647669 | − | 0.0190173i | ||||
\(498\) | 36.8332 | + | 6.74270i | 1.65053 | + | 0.302148i | ||||
\(499\) | 6.73627 | − | 7.77406i | 0.301557 | − | 0.348015i | −0.584666 | − | 0.811274i | \(-0.698775\pi\) |
0.886223 | + | 0.463259i | \(0.153320\pi\) | |||||||
\(500\) | 10.1267 | − | 22.1744i | 0.452881 | − | 0.991670i | ||||
\(501\) | 9.05435 | − | 26.9737i | 0.404519 | − | 1.20509i | ||||
\(502\) | 14.7370 | − | 6.73018i | 0.657746 | − | 0.300382i | ||||
\(503\) | −3.33265 | − | 23.1791i | −0.148596 | − | 1.03351i | −0.918521 | − | 0.395372i | \(-0.870616\pi\) |
0.769926 | − | 0.638134i | \(-0.220293\pi\) | |||||||
\(504\) | −3.58231 | − | 2.71037i | −0.159569 | − | 0.120729i | ||||
\(505\) | 8.99485i | 0.400266i | ||||||||
\(506\) | −40.3739 | − | 28.2338i | −1.79484 | − | 1.25515i | ||||
\(507\) | 1.00532 | + | 0.0384786i | 0.0446478 | + | 0.00170889i | ||||
\(508\) | 16.4663 | + | 10.5822i | 0.730573 | + | 0.469511i | ||||
\(509\) | 15.8196 | − | 2.27451i | 0.701190 | − | 0.100816i | 0.217506 | − | 0.976059i | \(-0.430208\pi\) |
0.483684 | + | 0.875243i | \(0.339299\pi\) | |||||||
\(510\) | −22.8975 | + | 9.41596i | −1.01392 | + | 0.416946i | ||||
\(511\) | 2.37850 | − | 8.10042i | 0.105219 | − | 0.358342i | ||||
\(512\) | −26.2829 | − | 12.0030i | −1.16155 | − | 0.530462i | ||||
\(513\) | −13.3350 | − | 14.5449i | −0.588756 | − | 0.642173i | ||||
\(514\) | −3.26329 | + | 22.6967i | −0.143938 | + | 1.00111i | ||||
\(515\) | 2.98459 | + | 10.1646i | 0.131517 | + | 0.447904i | ||||
\(516\) | 5.52882 | − | 4.43214i | 0.243393 | − | 0.195114i | ||||
\(517\) | −29.1509 | − | 45.3597i | −1.28206 | − | 1.99492i | ||||
\(518\) | 4.37428 | + | 6.80652i | 0.192195 | + | 0.299061i | ||||
\(519\) | −20.6185 | + | 16.5286i | −0.905050 | + | 0.725527i | ||||
\(520\) | 1.06075 | + | 3.61259i | 0.0465170 | + | 0.158423i | ||||
\(521\) | 5.76008 | − | 40.0622i | 0.252354 | − | 1.75516i | −0.331646 | − | 0.943404i | \(-0.607604\pi\) |
0.583999 | − | 0.811754i | \(-0.301487\pi\) | |||||||
\(522\) | −24.0884 | + | 23.8433i | −1.05432 | + | 1.04359i | ||||
\(523\) | −25.4670 | − | 11.6304i | −1.11359 | − | 0.508561i | −0.228299 | − | 0.973591i | \(-0.573316\pi\) |
−0.885295 | + | 0.465030i | \(0.846043\pi\) | |||||||
\(524\) | −5.85655 | + | 19.9456i | −0.255845 | + | 0.871327i | ||||
\(525\) | −9.49884 | + | 3.90613i | −0.414563 | + | 0.170477i | ||||
\(526\) | −13.1043 | + | 1.88411i | −0.571373 | + | 0.0821510i | ||||
\(527\) | 6.97967 | + | 4.48556i | 0.304039 | + | 0.195394i | ||||
\(528\) | −24.6873 | − | 0.944906i | −1.07438 | − | 0.0411218i | ||||
\(529\) | −7.89256 | − | 21.6034i | −0.343155 | − | 0.939279i | ||||
\(530\) | − | 14.8423i | − | 0.644706i | ||||||
\(531\) | −9.87432 | + | 13.0509i | −0.428509 | + | 0.566362i | ||||
\(532\) | 2.12887 | + | 14.8066i | 0.0922981 | + | 0.641948i | ||||
\(533\) | 9.65826 | − | 4.41078i | 0.418346 | − | 0.191052i | ||||
\(534\) | 3.89844 | − | 11.6138i | 0.168702 | − | 0.502577i | ||||
\(535\) | 3.36084 | − | 7.35921i | 0.145302 | − | 0.318166i | ||||
\(536\) | 8.35395 | − | 9.64098i | 0.360836 | − | 0.416427i | ||||
\(537\) | 34.4718 | + | 6.31043i | 1.48757 | + | 0.272315i | ||||
\(538\) | −10.5400 | + | 3.09482i | −0.454411 | + | 0.133427i | ||||
\(539\) | 14.0288 | + | 16.1900i | 0.604261 | + | 0.697355i | ||||
\(540\) | 13.1092 | − | 6.43677i | 0.564131 | − | 0.276994i | ||||
\(541\) | −17.2465 | + | 11.0837i | −0.741486 | + | 0.476524i | −0.856051 | − | 0.516892i | \(-0.827089\pi\) |
0.114565 | + | 0.993416i | \(0.463453\pi\) | |||||||
\(542\) | 24.1289 | − | 20.9078i | 1.03642 | − | 0.898067i | ||||
\(543\) | 7.43163 | + | 29.4306i | 0.318922 | + | 1.26299i | ||||
\(544\) | −46.7557 | − | 6.72245i | −2.00463 | − | 0.288223i | ||||
\(545\) | −4.40568 | − | 3.81754i | −0.188719 | − | 0.163526i | ||||
\(546\) | 9.34101 | − | 18.5424i | 0.399758 | − | 0.793541i | ||||
\(547\) | 4.54550 | + | 1.33468i | 0.194352 | + | 0.0570668i | 0.377460 | − | 0.926026i | \(-0.376798\pi\) |
−0.183108 | + | 0.983093i | \(0.558616\pi\) | |||||||
\(548\) | −10.0175 | − | 21.9353i | −0.427927 | − | 0.937030i | ||||
\(549\) | 10.5875 | − | 0.702848i | 0.451865 | − | 0.0299968i | ||||
\(550\) | 20.4017 | − | 31.7456i | 0.869931 | − | 1.35364i | ||||
\(551\) | 20.3608 | 0.867397 | ||||||||
\(552\) | 6.14091 | + | 4.65400i | 0.261374 | + | 0.198087i | ||||
\(553\) | 1.78151 | 0.0757573 | ||||||||
\(554\) | −29.1625 | + | 45.3777i | −1.23899 | + | 1.92791i | ||||
\(555\) | −4.71934 | + | 0.495182i | −0.200325 | + | 0.0210193i | ||||
\(556\) | 1.55027 | + | 3.39462i | 0.0657462 | + | 0.143964i | ||||
\(557\) | 25.0638 | + | 7.35938i | 1.06199 | + | 0.311827i | 0.765650 | − | 0.643257i | \(-0.222417\pi\) |
0.296335 | + | 0.955084i | \(0.404236\pi\) | |||||||
\(558\) | −7.79408 | − | 4.30776i | −0.329950 | − | 0.182362i | ||||
\(559\) | 4.46518 | + | 3.86910i | 0.188857 | + | 0.163645i | ||||
\(560\) | 5.38442 | + | 0.774163i | 0.227533 | + | 0.0327144i | ||||
\(561\) | −48.2178 | + | 12.1757i | −2.03576 | + | 0.514057i | ||||
\(562\) | −4.76761 | + | 4.13116i | −0.201109 | + | 0.174262i | ||||
\(563\) | 7.00657 | − | 4.50285i | 0.295292 | − | 0.189772i | −0.384603 | − | 0.923082i | \(-0.625662\pi\) |
0.679895 | + | 0.733310i | \(0.262025\pi\) | |||||||
\(564\) | 23.7502 | + | 40.2630i | 1.00006 | + | 1.69538i | ||||
\(565\) | 11.8453 | + | 13.6702i | 0.498334 | + | 0.575108i | ||||
\(566\) | −22.6503 | + | 6.65074i | −0.952065 | + | 0.279552i | ||||
\(567\) | −13.8971 | − | 4.23538i | −0.583623 | − | 0.177869i | ||||
\(568\) | 0.566280 | − | 0.653522i | 0.0237606 | − | 0.0274212i | ||||
\(569\) | −13.7359 | + | 30.0775i | −0.575840 | + | 1.26091i | 0.367789 | + | 0.929909i | \(0.380115\pi\) |
−0.943629 | + | 0.331004i | \(0.892613\pi\) | |||||||
\(570\) | −15.1339 | − | 5.08006i | −0.633890 | − | 0.212780i | ||||
\(571\) | 19.3054 | − | 8.81649i | 0.807907 | − | 0.368959i | 0.0317480 | − | 0.999496i | \(-0.489893\pi\) |
0.776159 | + | 0.630537i | \(0.217165\pi\) | |||||||
\(572\) | 5.96638 | + | 41.4971i | 0.249467 | + | 1.73508i | ||||
\(573\) | 6.30910 | + | 4.40443i | 0.263567 | + | 0.183998i | ||||
\(574\) | 10.2484i | 0.427761i | ||||||||
\(575\) | 16.2986 | − | 6.68697i | 0.679697 | − | 0.278866i | ||||
\(576\) | 33.0494 | + | 2.53364i | 1.37706 | + | 0.105568i | ||||
\(577\) | 9.95072 | + | 6.39494i | 0.414254 | + | 0.266225i | 0.731125 | − | 0.682244i | \(-0.238996\pi\) |
−0.316871 | + | 0.948469i | \(0.602632\pi\) | |||||||
\(578\) | −36.8900 | + | 5.30398i | −1.53442 | + | 0.220617i | ||||
\(579\) | −10.7279 | − | 26.0877i | −0.445834 | − | 1.08417i | ||||
\(580\) | −4.24546 | + | 14.4587i | −0.176283 | + | 0.600365i | ||||
\(581\) | −15.0650 | − | 6.87994i | −0.625000 | − | 0.285428i | ||||
\(582\) | −26.7013 | + | 28.5326i | −1.10680 | + | 1.18271i | ||||
\(583\) | 4.24293 | − | 29.5102i | 0.175724 | − | 1.22219i | ||||
\(584\) | −1.36677 | − | 4.65479i | −0.0565574 | − | 0.192617i | ||||
\(585\) | 7.24742 | + | 9.78531i | 0.299644 | + | 0.404573i | ||||
\(586\) | 7.52082 | + | 11.7026i | 0.310682 | + | 0.483431i | ||||
\(587\) | −15.2028 | − | 23.6560i | −0.627485 | − | 0.976386i | −0.998852 | − | 0.0479001i | \(-0.984747\pi\) |
0.371367 | − | 0.928486i | \(-0.378889\pi\) | |||||||
\(588\) | −11.6167 | − | 14.4911i | −0.479063 | − | 0.597601i | ||||
\(589\) | 1.50718 | + | 5.13300i | 0.0621025 | + | 0.211502i | ||||
\(590\) | −1.88421 | + | 13.1050i | −0.0775717 | + | 0.539523i | ||||
\(591\) | 13.8366 | + | 12.9485i | 0.569163 | + | 0.532632i | ||||
\(592\) | −6.33051 | − | 2.89105i | −0.260182 | − | 0.118821i | ||||
\(593\) | 2.46287 | − | 8.38778i | 0.101138 | − | 0.344445i | −0.893341 | − | 0.449379i | \(-0.851645\pi\) |
0.994479 | + | 0.104935i | \(0.0334633\pi\) | |||||||
\(594\) | 50.7752 | − | 16.4682i | 2.08333 | − | 0.675698i | ||||
\(595\) | 10.8387 | − | 1.55837i | 0.444344 | − | 0.0638870i | ||||
\(596\) | −9.83721 | − | 6.32199i | −0.402948 | − | 0.258959i | ||||
\(597\) | −0.991937 | + | 25.9161i | −0.0405973 | + | 1.06068i | ||||
\(598\) | −16.0481 | + | 31.7925i | −0.656256 | + | 1.30009i | ||||
\(599\) | − | 3.55017i | − | 0.145056i | −0.997366 | − | 0.0725281i | \(-0.976893\pi\) | ||
0.997366 | − | 0.0725281i | \(-0.0231067\pi\) | |||||||
\(600\) | −3.37835 | + | 4.83930i | −0.137921 | + | 0.197563i | ||||
\(601\) | 2.04995 | + | 14.2577i | 0.0836194 | + | 0.581585i | 0.987952 | + | 0.154758i | \(0.0494598\pi\) |
−0.904333 | + | 0.426827i | \(0.859631\pi\) | |||||||
\(602\) | −5.18741 | + | 2.36901i | −0.211423 | + | 0.0965536i | ||||
\(603\) | 14.6155 | − | 38.5821i | 0.595189 | − | 1.57118i | ||||
\(604\) | −5.22209 | + | 11.4348i | −0.212484 | + | 0.465275i | ||||
\(605\) | −9.62961 | + | 11.1132i | −0.391499 | + | 0.451814i | ||||
\(606\) | 5.13244 | − | 28.0368i | 0.208491 | − | 1.13892i | ||||
\(607\) | 35.0641 | − | 10.2957i | 1.42321 | − | 0.417891i | 0.522619 | − | 0.852566i | \(-0.324955\pi\) |
0.900587 | + | 0.434675i | \(0.143137\pi\) | |||||||
\(608\) | −19.9456 | − | 23.0185i | −0.808902 | − | 0.933522i | ||||
\(609\) | 12.9116 | − | 7.61627i | 0.523206 | − | 0.308627i | ||||
\(610\) | 7.22150 | − | 4.64097i | 0.292390 | − | 0.187908i | ||||
\(611\) | −29.4564 | + | 25.5241i | −1.19168 | + | 1.03260i | ||||
\(612\) | 42.1762 | − | 8.94928i | 1.70487 | − | 0.361753i | ||||
\(613\) | 21.8812 | + | 3.14605i | 0.883775 | + | 0.127068i | 0.569233 | − | 0.822176i | \(-0.307240\pi\) |
0.314542 | + | 0.949244i | \(0.398149\pi\) | |||||||
\(614\) | −28.2757 | − | 24.5010i | −1.14111 | − | 0.988781i | ||||
\(615\) | −5.36794 | − | 2.70418i | −0.216456 | − | 0.109043i | ||||
\(616\) | −7.00419 | − | 2.05662i | −0.282207 | − | 0.0828634i | ||||
\(617\) | −11.1814 | − | 24.4839i | −0.450146 | − | 0.985683i | −0.989624 | − | 0.143683i | \(-0.954105\pi\) |
0.539477 | − | 0.842000i | \(-0.318622\pi\) | |||||||
\(618\) | −3.50304 | − | 33.3858i | −0.140913 | − | 1.34297i | ||||
\(619\) | −15.3856 | + | 23.9405i | −0.618401 | + | 0.962251i | 0.380890 | + | 0.924620i | \(0.375618\pi\) |
−0.999292 | + | 0.0376310i | \(0.988019\pi\) | |||||||
\(620\) | −3.95934 | −0.159011 | ||||||||
\(621\) | 23.8315 | + | 7.28408i | 0.956327 | + | 0.292300i | ||||
\(622\) | 34.4373 | 1.38081 | ||||||||
\(623\) | −2.92936 | + | 4.55817i | −0.117362 | + | 0.182619i | ||||
\(624\) | 1.86362 | + | 17.7612i | 0.0746043 | + | 0.711019i | ||||
\(625\) | 2.85010 | + | 6.24086i | 0.114004 | + | 0.249634i | ||||
\(626\) | 0.279587 | + | 0.0820942i | 0.0111746 | + | 0.00328115i | ||||
\(627\) | −28.6379 | − | 14.4268i | −1.14369 | − | 0.576150i | ||||
\(628\) | −33.3176 | − | 28.8699i | −1.32952 | − | 1.15203i | ||||
\(629\) | −13.8665 | − | 1.99371i | −0.552895 | − | 0.0794942i | ||||
\(630\) | −11.4974 | + | 2.43960i | −0.458066 | + | 0.0971960i | ||||
\(631\) | −20.3896 | + | 17.6677i | −0.811696 | + | 0.703339i | −0.958271 | − | 0.285861i | \(-0.907720\pi\) |
0.146575 | + | 0.989200i | \(0.453175\pi\) | |||||||
\(632\) | 0.861206 | − | 0.553463i | 0.0342569 | − | 0.0220156i | ||||
\(633\) | 32.1773 | − | 18.9806i | 1.27893 | − | 0.754412i | ||||
\(634\) | 44.5836 | + | 51.4522i | 1.77064 | + | 2.04343i | ||||
\(635\) | 8.86449 | − | 2.60285i | 0.351776 | − | 0.103291i | ||||
\(636\) | −4.65429 | + | 25.4248i | −0.184554 | + | 1.00816i | ||||
\(637\) | 10.1409 | − | 11.7033i | 0.401798 | − | 0.463700i | ||||
\(638\) | −22.8803 | + | 50.1009i | −0.905840 | + | 1.98351i | ||||
\(639\) | 0.990724 | − | 2.61532i | 0.0391924 | − | 0.103460i | ||||
\(640\) | 7.58642 | − | 3.46460i | 0.299880 | − | 0.136950i | ||||
\(641\) | −2.99677 | − | 20.8430i | −0.118365 | − | 0.823248i | −0.959356 | − | 0.282198i | \(-0.908936\pi\) |
0.840991 | − | 0.541049i | \(-0.181973\pi\) | |||||||
\(642\) | −14.6748 | + | 21.0209i | −0.579169 | + | 0.829627i | ||||
\(643\) | 25.0372i | 0.987369i | 0.869641 | + | 0.493685i | \(0.164350\pi\) | ||||
−0.869641 | + | 0.493685i | \(0.835650\pi\) | |||||||
\(644\) | −11.8041 | − | 14.7492i | −0.465147 | − | 0.581201i | ||||
\(645\) | 0.127921 | − | 3.34216i | 0.00503689 | − | 0.131598i | ||||
\(646\) | −39.6474 | − | 25.4798i | −1.55991 | − | 1.00249i | ||||
\(647\) | 27.4628 | − | 3.94856i | 1.07968 | − | 0.155234i | 0.420552 | − | 0.907268i | \(-0.361836\pi\) |
0.659124 | + | 0.752035i | \(0.270927\pi\) | |||||||
\(648\) | −8.03386 | + | 2.26999i | −0.315600 | + | 0.0891735i | ||||
\(649\) | −7.49259 | + | 25.5174i | −0.294110 | + | 1.00165i | ||||
\(650\) | −24.8131 | − | 11.3318i | −0.973251 | − | 0.444469i | ||||
\(651\) | 2.87585 | + | 2.69127i | 0.112714 | + | 0.105479i | ||||
\(652\) | −1.60361 | + | 11.1534i | −0.0628024 | + | 0.436800i | ||||
\(653\) | 10.0608 | + | 34.2639i | 0.393709 | + | 1.34085i | 0.883264 | + | 0.468876i | \(0.155341\pi\) |
−0.489555 | + | 0.871972i | \(0.662841\pi\) | |||||||
\(654\) | 11.5542 | + | 14.4131i | 0.451803 | + | 0.563596i | ||||
\(655\) | 5.30465 | + | 8.25420i | 0.207270 | + | 0.322518i | ||||
\(656\) | −4.76585 | − | 7.41581i | −0.186075 | − | 0.289539i | ||||
\(657\) | −9.33824 | − | 12.6083i | −0.364320 | − | 0.491896i | ||||
\(658\) | −10.5990 | − | 36.0967i | −0.413190 | − | 1.40720i | ||||
\(659\) | −3.20230 | + | 22.2725i | −0.124744 | + | 0.867614i | 0.827323 | + | 0.561726i | \(0.189862\pi\) |
−0.952067 | + | 0.305888i | \(0.901047\pi\) | |||||||
\(660\) | 16.2162 | − | 17.3284i | 0.631213 | − | 0.674505i | ||||
\(661\) | −0.940765 | − | 0.429633i | −0.0365915 | − | 0.0167108i | 0.397035 | − | 0.917803i | \(-0.370039\pi\) |
−0.433627 | + | 0.901093i | \(0.642766\pi\) | |||||||
\(662\) | 7.79603 | − | 26.5508i | 0.303001 | − | 1.03193i | ||||
\(663\) | 13.6722 | + | 33.2478i | 0.530985 | + | 1.29124i | ||||
\(664\) | −9.42002 | + | 1.35439i | −0.365568 | + | 0.0525607i | ||||
\(665\) | 5.93976 | + | 3.81725i | 0.230334 | + | 0.148027i | ||||
\(666\) | 14.9927 | + | 1.14937i | 0.580954 | + | 0.0445372i | ||||
\(667\) | −22.1576 | + | 13.0462i | −0.857947 | + | 0.505150i | ||||
\(668\) | 40.0858i | 1.55097i | ||||||||
\(669\) | 4.25575 | + | 2.97097i | 0.164537 | + | 0.114864i | ||||
\(670\) | −4.75012 | − | 33.0378i | −0.183513 | − | 1.27636i | ||||
\(671\) | 15.6849 | − | 7.16305i | 0.605509 | − | 0.276527i | ||||
\(672\) | −21.2588 | − | 7.13603i | −0.820077 | − | 0.275278i | ||||
\(673\) | −3.92848 | + | 8.60218i | −0.151432 | + | 0.331590i | −0.970111 | − | 0.242662i | \(-0.921980\pi\) |
0.818679 | + | 0.574251i | \(0.194707\pi\) | |||||||
\(674\) | 38.4638 | − | 44.3896i | 1.48157 | − | 1.70982i | ||||
\(675\) | −4.86217 | + | 18.4579i | −0.187145 | + | 0.710444i | ||||
\(676\) | −1.35997 | + | 0.399324i | −0.0523067 | + | 0.0153586i | ||||
\(677\) | 7.32061 | + | 8.44843i | 0.281354 | + | 0.324700i | 0.878783 | − | 0.477222i | \(-0.158356\pi\) |
−0.597429 | + | 0.801922i | \(0.703811\pi\) | |||||||
\(678\) | −29.1214 | − | 49.3686i | −1.11840 | − | 1.89599i | ||||
\(679\) | 14.5399 | − | 9.34423i | 0.557990 | − | 0.358599i | ||||
\(680\) | 4.75544 | − | 4.12062i | 0.182363 | − | 0.158018i | ||||
\(681\) | −5.58566 | + | 1.41046i | −0.214043 | + | 0.0540488i | ||||
\(682\) | −14.3242 | − | 2.05952i | −0.548504 | − | 0.0788629i | ||||
\(683\) | 3.11627 | + | 2.70027i | 0.119241 | + | 0.103323i | 0.712440 | − | 0.701733i | \(-0.247590\pi\) |
−0.593199 | + | 0.805056i | \(0.702135\pi\) | |||||||
\(684\) | 24.3314 | + | 13.4479i | 0.930336 | + | 0.514194i | ||||
\(685\) | −10.9210 | − | 3.20670i | −0.417270 | − | 0.122522i | ||||
\(686\) | 16.1004 | + | 35.2550i | 0.614717 | + | 1.34604i | ||||
\(687\) | −24.8227 | + | 2.60455i | −0.947046 | + | 0.0993697i | ||||
\(688\) | 2.65197 | − | 4.12654i | 0.101105 | − | 0.157323i | ||||
\(689\) | −21.5513 | −0.821040 | ||||||||
\(690\) | 19.7246 | − | 4.16870i | 0.750901 | − | 0.158700i | ||||
\(691\) | 15.2318 | 0.579443 | 0.289722 | − | 0.957111i | \(-0.406437\pi\) | ||||
0.289722 | + | 0.957111i | \(0.406437\pi\) | |||||||
\(692\) | 20.1280 | − | 31.3198i | 0.765153 | − | 1.19060i | ||||
\(693\) | −23.5571 | + | 1.56382i | −0.894860 | + | 0.0594048i | ||||
\(694\) | −10.8396 | − | 23.7353i | −0.411464 | − | 0.900980i | ||||
\(695\) | 1.69009 | + | 0.496256i | 0.0641089 | + | 0.0188241i | ||||
\(696\) | 3.87551 | − | 7.69310i | 0.146901 | − | 0.291606i | ||||
\(697\) | −13.4106 | − | 11.6203i | −0.507962 | − | 0.440151i | ||||
\(698\) | 15.2222 | + | 2.18862i | 0.576168 | + | 0.0828405i | ||||
\(699\) | 5.48228 | + | 21.7108i | 0.207359 | + | 0.821179i | ||||
\(700\) | 10.9356 | − | 9.47572i | 0.413325 | − | 0.358149i | ||||
\(701\) | 28.6840 | − | 18.4341i | 1.08338 | − | 0.696247i | 0.128045 | − | 0.991768i | \(-0.459130\pi\) |
0.955336 | + | 0.295521i | \(0.0954934\pi\) | |||||||
\(702\) | −17.0066 | − | 34.6360i | −0.641874 | − | 1.30725i | ||||
\(703\) | −5.91536 | − | 6.82668i | −0.223102 | − | 0.257473i | ||||
\(704\) | 51.6826 | − | 15.1754i | 1.94786 | − | 0.571944i | ||||
\(705\) | 21.7035 | + | 3.97305i | 0.817400 | + | 0.149634i | ||||
\(706\) | −6.41038 | + | 7.39797i | −0.241258 | + | 0.278426i | ||||
\(707\) | −5.23690 | + | 11.4672i | −0.196954 | + | 0.431269i | ||||
\(708\) | 7.33716 | − | 21.8580i | 0.275747 | − | 0.821474i | ||||
\(709\) | 8.16470 | − | 3.72870i | 0.306632 | − | 0.140034i | −0.256156 | − | 0.966635i | \(-0.582456\pi\) |
0.562788 | + | 0.826601i | \(0.309729\pi\) | |||||||
\(710\) | −0.321991 | − | 2.23950i | −0.0120841 | − | 0.0840468i | ||||
\(711\) | 1.99765 | − | 2.64030i | 0.0749176 | − | 0.0990190i | ||||
\(712\) | 3.11355i | 0.116685i | ||||||||
\(713\) | −4.92917 | − | 4.62026i | −0.184599 | − | 0.173030i | ||||
\(714\) | −34.6733 | − | 1.32712i | −1.29761 | − | 0.0496661i | ||||
\(715\) | 16.6468 | + | 10.6982i | 0.622554 | + | 0.400091i | ||||
\(716\) | −48.8703 | + | 7.02649i | −1.82637 | + | 0.262592i | ||||
\(717\) | −6.89215 | + | 2.83420i | −0.257392 | + | 0.105845i | ||||
\(718\) | −22.4248 | + | 76.3717i | −0.836884 | + | 2.85017i | ||||
\(719\) | 2.45425 | + | 1.12082i | 0.0915281 | + | 0.0417995i | 0.460653 | − | 0.887580i | \(-0.347615\pi\) |
−0.369125 | + | 0.929380i | \(0.620343\pi\) | |||||||
\(720\) | 7.18505 | − | 7.11195i | 0.267771 | − | 0.265047i | ||||
\(721\) | −2.11298 | + | 14.6961i | −0.0786914 | + | 0.547311i | ||||
\(722\) | 2.71815 | + | 9.25715i | 0.101159 | + | 0.344516i | ||||
\(723\) | −28.1583 | + | 22.5729i | −1.04722 | + | 0.839494i | ||||
\(724\) | −23.1205 | − | 35.9762i | −0.859266 | − | 1.33704i | ||||
\(725\) | −10.6480 | − | 16.5686i | −0.395456 | − | 0.615342i | ||||
\(726\) | 36.3565 | − | 29.1449i | 1.34932 | − | 1.08167i | ||||
\(727\) | −7.11750 | − | 24.2400i | −0.263973 | − | 0.899011i | −0.979673 | − | 0.200602i | \(-0.935710\pi\) |
0.715699 | − | 0.698409i | \(-0.246108\pi\) | |||||||
\(728\) | −0.750974 | + | 5.22314i | −0.0278330 | + | 0.193582i | ||||
\(729\) | −21.8602 | + | 15.8471i | −0.809638 | + | 0.586929i | ||||
\(730\) | −11.5461 | − | 5.27293i | −0.427340 | − | 0.195160i | ||||
\(731\) | 2.78185 | − | 9.47412i | 0.102891 | − | 0.350413i | ||||
\(732\) | −13.8258 | + | 5.68546i | −0.511016 | + | 0.210141i | ||||
\(733\) | −0.969789 | + | 0.139435i | −0.0358200 | + | 0.00515013i | −0.160202 | − | 0.987084i | \(-0.551214\pi\) |
0.124382 | + | 0.992234i | \(0.460305\pi\) | |||||||
\(734\) | −59.3988 | − | 38.1733i | −2.19245 | − | 1.40900i | ||||
\(735\) | −8.75983 | − | 0.335282i | −0.323111 | − | 0.0123671i | ||||
\(736\) | 36.4550 | + | 12.2697i | 1.34375 | + | 0.452267i | ||||
\(737\) | − | 67.0455i | − | 2.46965i | ||||||
\(738\) | 15.1888 | + | 11.4918i | 0.559107 | + | 0.423020i | ||||
\(739\) | 1.44703 | + | 10.0643i | 0.0532300 | + | 0.370223i | 0.998973 | + | 0.0453075i | \(0.0144268\pi\) |
−0.945743 | + | 0.324916i | \(0.894664\pi\) | |||||||
\(740\) | 6.08123 | − | 2.77720i | 0.223550 | − | 0.102092i | ||||
\(741\) | −7.37638 | + | 21.9748i | −0.270978 | + | 0.807266i | ||||
\(742\) | 8.64132 | − | 18.9219i | 0.317233 | − | 0.694643i | ||||
\(743\) | 15.2016 | − | 17.5435i | 0.557691 | − | 0.643610i | −0.404966 | − | 0.914332i | \(-0.632717\pi\) |
0.962658 | + | 0.270722i | \(0.0872623\pi\) | |||||||
\(744\) | 2.22633 | + | 0.407553i | 0.0816212 | + | 0.0149416i | ||||
\(745\) | −5.29578 | + | 1.55498i | −0.194022 | + | 0.0569701i | ||||
\(746\) | 45.1186 | + | 52.0697i | 1.65191 | + | 1.90641i | ||||
\(747\) | −27.0892 | + | 14.6125i | −0.991142 | + | 0.534645i | ||||
\(748\) | 58.9418 | − | 37.8796i | 2.15513 | − | 1.38502i | ||||
\(749\) | 8.56922 | − | 7.42527i | 0.313113 | − | 0.271314i | ||||
\(750\) | 8.92656 | + | 35.3508i | 0.325952 | + | 1.29083i | ||||
\(751\) | −29.9082 | − | 4.30016i | −1.09137 | − | 0.156915i | −0.426949 | − | 0.904276i | \(-0.640412\pi\) |
−0.664418 | + | 0.747361i | \(0.731321\pi\) | |||||||
\(752\) | 24.4556 | + | 21.1909i | 0.891804 | + | 0.772753i | ||||
\(753\) | −5.99129 | + | 11.8930i | −0.218335 | + | 0.433406i | ||||
\(754\) | 38.2015 | + | 11.2170i | 1.39121 | + | 0.408498i | ||||
\(755\) | 2.46483 | + | 5.39723i | 0.0897045 | + | 0.196425i | ||||
\(756\) | 20.4600 | − | 0.573664i | 0.744124 | − | 0.0208640i | ||||
\(757\) | 11.1727 | − | 17.3851i | 0.406079 | − | 0.631871i | −0.576635 | − | 0.817002i | \(-0.695634\pi\) |
0.982714 | + | 0.185131i | \(0.0592709\pi\) | |||||||
\(758\) | 35.5569 | 1.29148 | ||||||||
\(759\) | 40.4092 | − | 2.64981i | 1.46676 | − | 0.0961821i | ||||
\(760\) | 4.05727 | 0.147173 | ||||||||
\(761\) | 0.279525 | − | 0.434950i | 0.0101328 | − | 0.0157669i | −0.836150 | − | 0.548501i | \(-0.815199\pi\) |
0.846283 | + | 0.532734i | \(0.178835\pi\) | |||||||
\(762\) | −29.1156 | + | 3.05499i | −1.05475 | + | 0.110670i | ||||
\(763\) | −3.39403 | − | 7.43188i | −0.122872 | − | 0.269052i | ||||
\(764\) | −10.4012 | − | 3.05407i | −0.376302 | − | 0.110492i | ||||
\(765\) | 9.84411 | − | 17.8111i | 0.355915 | − | 0.643960i | ||||
\(766\) | −8.58190 | − | 7.43626i | −0.310077 | − | 0.268683i | ||||
\(767\) | 19.0287 | + | 2.73592i | 0.687088 | + | 0.0987884i | ||||
\(768\) | 11.4857 | − | 2.90029i | 0.414454 | − | 0.104655i | ||||
\(769\) | 24.4911 | − | 21.2216i | 0.883171 | − | 0.765272i | −0.0898581 | − | 0.995955i | \(-0.528641\pi\) |
0.973029 | + | 0.230683i | \(0.0740959\pi\) | |||||||
\(770\) | −16.0677 | + | 10.3261i | −0.579040 | + | 0.372127i | ||||
\(771\) | −9.57609 | − | 16.2341i | −0.344874 | − | 0.584655i | ||||
\(772\) | 26.0243 | + | 30.0336i | 0.936634 | + | 1.08093i | ||||
\(773\) | −46.8885 | + | 13.7677i | −1.68646 | + | 0.495190i | −0.977656 | − | 0.210212i | \(-0.932585\pi\) |
−0.708807 | + | 0.705402i | \(0.750766\pi\) | |||||||
\(774\) | −2.30576 | + | 10.3445i | −0.0828787 | + | 0.371825i | ||||
\(775\) | 3.38878 | − | 3.91086i | 0.121728 | − | 0.140482i | ||||
\(776\) | 4.12581 | − | 9.03427i | 0.148108 | − | 0.324311i | ||||
\(777\) | −6.30482 | − | 2.11636i | −0.226184 | − | 0.0759241i | ||||
\(778\) | −21.4635 | + | 9.80204i | −0.769503 | + | 0.351420i | ||||
\(779\) | −1.62832 | − | 11.3252i | −0.0583408 | − | 0.405769i | ||||
\(780\) | −14.0668 | − | 9.82017i | −0.503674 | − | 0.351618i | ||||
\(781\) | − | 4.54474i | − | 0.162624i | ||||||
\(782\) | 59.4725 | + | 2.32434i | 2.12673 | + | 0.0831181i | ||||
\(783\) | 3.19038 | − | 27.6762i | 0.114015 | − | 0.989065i | ||||
\(784\) | −10.8157 | − | 6.95082i | −0.386274 | − | 0.248243i | ||||
\(785\) | −20.5966 | + | 2.96135i | −0.735125 | + | 0.105695i | ||||
\(786\) | −11.8247 | − | 28.7550i | −0.421773 | − | 1.02566i | ||||
\(787\) | 6.58438 | − | 22.4244i | 0.234708 | − | 0.799342i | −0.754936 | − | 0.655798i | \(-0.772332\pi\) |
0.989644 | − | 0.143543i | \(-0.0458497\pi\) | |||||||
\(788\) | −24.2857 | − | 11.0909i | −0.865141 | − | 0.395097i | ||||
\(789\) | 7.43562 | − | 7.94560i | 0.264715 | − | 0.282871i | ||||
\(790\) | 0.381190 | − | 2.65123i | 0.0135621 | − | 0.0943266i | ||||
\(791\) | 7.14218 | + | 24.3240i | 0.253947 | + | 0.864863i | ||||
\(792\) | −10.9020 | + | 8.07450i | −0.387386 | + | 0.286915i | ||||
\(793\) | −6.73881 | − | 10.4858i | −0.239302 | − | 0.372362i | ||||
\(794\) | 36.5653 | + | 56.8968i | 1.29766 | + | 2.01919i | ||||
\(795\) | 7.63080 | + | 9.51894i | 0.270636 | + | 0.337602i | ||||
\(796\) | −10.2942 | − | 35.0587i | −0.364867 | − | 1.24262i | ||||
\(797\) | −6.97531 | + | 48.5144i | −0.247078 | + | 1.71847i | 0.367851 | + | 0.929885i | \(0.380094\pi\) |
−0.614929 | + | 0.788582i | \(0.710815\pi\) | |||||||
\(798\) | −16.3360 | − | 15.2875i | −0.578289 | − | 0.541172i | ||||
\(799\) | 59.2522 | + | 27.0596i | 2.09619 | + | 0.957299i | ||||
\(800\) | −8.30043 | + | 28.2687i | −0.293464 | + | 0.999448i | ||||
\(801\) | 3.47072 | + | 9.45267i | 0.122632 | + | 0.333994i | ||||
\(802\) | −56.3763 | + | 8.10568i | −1.99071 | + | 0.286222i | ||||
\(803\) | −21.4492 | − | 13.7846i | −0.756927 | − | 0.486448i | ||||
\(804\) | −2.22314 | + | 58.0834i | −0.0784040 | + | 2.04844i | ||||
\(805\) | −8.90986 | − | 0.348220i | −0.314031 | − | 0.0122731i | ||||
\(806\) | 10.4610i | 0.368473i | ||||||||
\(807\) | 5.16859 | − | 7.40371i | 0.181943 | − | 0.260623i | ||||
\(808\) | 1.03094 | + | 7.17037i | 0.0362685 | + | 0.252253i | ||||
\(809\) | 20.9802 | − | 9.58133i | 0.737624 | − | 0.336862i | −0.0109255 | − | 0.999940i | \(-0.503478\pi\) |
0.748550 | + | 0.663079i | \(0.230750\pi\) | |||||||
\(810\) | −9.27664 | + | 19.7754i | −0.325948 | + | 0.694835i | ||||
\(811\) | 2.69626 | − | 5.90398i | 0.0946784 | − | 0.207317i | −0.856367 | − | 0.516367i | \(-0.827284\pi\) |
0.951046 | + | 0.309050i | \(0.100011\pi\) | |||||||
\(812\) | −13.8304 | + | 15.9611i | −0.485352 | + | 0.560126i | ||||
\(813\) | −4.72559 | + | 25.8143i | −0.165734 | + | 0.905348i | ||||
\(814\) | 23.4455 | − | 6.88422i | 0.821764 | − | 0.241292i | ||||
\(815\) | 3.48290 | + | 4.01949i | 0.122001 | + | 0.140796i | ||||
\(816\) | 25.7069 | − | 15.1639i | 0.899921 | − | 0.530842i | ||||
\(817\) | 5.35606 | − | 3.44213i | 0.187385 | − | 0.120425i | ||||
\(818\) | −25.6440 | + | 22.2207i | −0.896622 | + | 0.776927i | ||||
\(819\) | 3.54236 | + | 16.6945i | 0.123780 | + | 0.583351i | ||||
\(820\) | 8.38188 | + | 1.20513i | 0.292708 | + | 0.0420850i | ||||
\(821\) | −19.1441 | − | 16.5884i | −0.668132 | − | 0.578940i | 0.253343 | − | 0.967376i | \(-0.418470\pi\) |
−0.921475 | + | 0.388437i | \(0.873015\pi\) | |||||||
\(822\) | 32.2109 | + | 16.2267i | 1.12348 | + | 0.565972i | ||||
\(823\) | −32.3375 | − | 9.49515i | −1.12722 | − | 0.330980i | −0.335603 | − | 0.942004i | \(-0.608940\pi\) |
−0.791612 | + | 0.611023i | \(0.790758\pi\) | |||||||
\(824\) | 3.54421 | + | 7.76074i | 0.123468 | + | 0.270358i | ||||
\(825\) | 3.23684 | + | 30.8488i | 0.112692 | + | 1.07402i | ||||
\(826\) | −10.0320 | + | 15.6100i | −0.349057 | + | 0.543143i | ||||
\(827\) | −16.9340 | −0.588853 | −0.294426 | − | 0.955674i | \(-0.595129\pi\) | ||||
−0.294426 | + | 0.955674i | \(0.595129\pi\) | |||||||
\(828\) | −35.0955 | + | 0.955694i | −1.21965 | + | 0.0332127i | ||||
\(829\) | −42.4912 | −1.47578 | −0.737890 | − | 0.674921i | \(-0.764178\pi\) | ||||
−0.737890 | + | 0.674921i | \(0.764178\pi\) | |||||||
\(830\) | −13.4622 | + | 20.9475i | −0.467279 | + | 0.727100i | ||||
\(831\) | −4.62679 | − | 44.0958i | −0.160502 | − | 1.52967i | ||||
\(832\) | −16.1750 | − | 35.4182i | −0.560766 | − | 1.22791i | ||||
\(833\) | −24.8317 | − | 7.29125i | −0.860368 | − | 0.252627i | ||||
\(834\) | −4.98483 | − | 2.51118i | −0.172611 | − | 0.0869552i | ||||
\(835\) | 14.2992 | + | 12.3903i | 0.494844 | + | 0.428785i | ||||
\(836\) | 44.7172 | + | 6.42937i | 1.54658 | + | 0.222364i | ||||
\(837\) | 7.21339 | − | 1.24440i | 0.249331 | − | 0.0430127i | ||||
\(838\) | 11.8442 | − | 10.2630i | 0.409149 | − | 0.354530i | ||||
\(839\) | 31.1026 | − | 19.9884i | 1.07378 | − | 0.690077i | 0.120669 | − | 0.992693i | \(-0.461496\pi\) |
0.953113 | + | 0.302615i | \(0.0978597\pi\) | |||||||
\(840\) | 2.57289 | − | 1.51769i | 0.0887733 | − | 0.0523653i | ||||
\(841\) | −0.166187 | − | 0.191790i | −0.00573058 | − | 0.00661344i | ||||
\(842\) | −9.60201 | + | 2.81940i | −0.330907 | + | 0.0971631i | ||||
\(843\) | 0.933725 | − | 5.10063i | 0.0321592 | − | 0.175675i | ||||
\(844\) | −34.4669 | + | 39.7769i | −1.18640 | + | 1.36918i | ||||
\(845\) | −0.277916 | + | 0.608552i | −0.00956061 | + | 0.0209348i | ||||
\(846\) | −65.3824 | − | 24.7679i | −2.24789 | − | 0.851538i | ||||
\(847\) | −18.7466 | + | 8.56130i | −0.644142 | + | 0.294170i | ||||
\(848\) | 2.54638 | + | 17.7104i | 0.0874429 | + | 0.608179i | ||||
\(849\) | 11.1073 | − | 15.9105i | 0.381200 | − | 0.546048i | ||||
\(850\) | 45.5882i | 1.56366i | ||||||||
\(851\) | 10.8116 | + | 3.63888i | 0.370617 | + | 0.124739i | ||||
\(852\) | −0.150697 | + | 3.93723i | −0.00516281 | + | 0.134887i | ||||
\(853\) | −6.63437 | − | 4.26365i | −0.227157 | − | 0.145985i | 0.422112 | − | 0.906543i | \(-0.361289\pi\) |
−0.649269 | + | 0.760559i | \(0.724925\pi\) | |||||||
\(854\) | 11.9084 | − | 1.71218i | 0.407499 | − | 0.0585895i | ||||
\(855\) | 12.3178 | − | 4.52270i | 0.421260 | − | 0.154673i | ||||
\(856\) | 1.83566 | − | 6.25170i | 0.0627417 | − | 0.213679i | ||||
\(857\) | −24.7100 | − | 11.2847i | −0.844078 | − | 0.385477i | −0.0540423 | − | 0.998539i | \(-0.517211\pi\) |
−0.790035 | + | 0.613061i | \(0.789938\pi\) | |||||||
\(858\) | −45.7834 | − | 42.8449i | −1.56302 | − | 1.46270i | ||||
\(859\) | 3.49540 | − | 24.3110i | 0.119261 | − | 0.829481i | −0.839111 | − | 0.543960i | \(-0.816924\pi\) |
0.958372 | − | 0.285521i | \(-0.0921667\pi\) | |||||||
\(860\) | 1.32754 | + | 4.52120i | 0.0452689 | + | 0.154172i | ||||
\(861\) | −5.26899 | − | 6.57273i | −0.179567 | − | 0.223998i | ||||
\(862\) | 33.0384 | + | 51.4088i | 1.12529 | + | 1.75099i | ||||
\(863\) | −13.8320 | − | 21.5231i | −0.470848 | − | 0.732654i | 0.521882 | − | 0.853018i | \(-0.325230\pi\) |
−0.992730 | + | 0.120364i | \(0.961594\pi\) | |||||||
\(864\) | −34.4141 | + | 23.5050i | −1.17079 | + | 0.799658i | ||||
\(865\) | −4.95077 | − | 16.8608i | −0.168331 | − | 0.573283i | ||||
\(866\) | −0.469439 | + | 3.26502i | −0.0159522 | + | 0.110950i | ||||
\(867\) | 20.9321 | − | 22.3678i | 0.710893 | − | 0.759650i | ||||
\(868\) | −5.04762 | − | 2.30517i | −0.171327 | − | 0.0782426i | ||||
\(869\) | 1.51581 | − | 5.16236i | 0.0514202 | − | 0.175121i | ||||
\(870\) | −8.57181 | − | 20.8447i | −0.290612 | − | 0.706703i | ||||
\(871\) | −47.9717 | + | 6.89729i | −1.62546 | + | 0.233706i | ||||
\(872\) | −3.94959 | − | 2.53825i | −0.133750 | − | 0.0859560i | ||||
\(873\) | 2.45525 | − | 32.0269i | 0.0830977 | − | 1.08395i | ||||
\(874\) | 27.9997 | + | 26.2450i | 0.947104 | + | 0.887749i | ||||
\(875\) | − | 16.1260i | − | 0.545159i | ||||||
\(876\) | 18.1250 | + | 12.6532i | 0.612387 | + | 0.427512i | ||||
\(877\) | −2.94421 | − | 20.4774i | −0.0994189 | − | 0.691474i | −0.977186 | − | 0.212386i | \(-0.931877\pi\) |
0.877767 | − | 0.479088i | \(-0.159033\pi\) | |||||||
\(878\) | −31.6816 | + | 14.4685i | −1.06920 | + | 0.488288i | ||||
\(879\) | −10.8400 | − | 3.63872i | −0.365625 | − | 0.122731i | ||||
\(880\) | 6.82471 | − | 14.9440i | 0.230061 | − | 0.503763i | ||||
\(881\) | −22.7242 | + | 26.2251i | −0.765598 | + | 0.883548i | −0.995982 | − | 0.0895523i | \(-0.971456\pi\) |
0.230384 | + | 0.973100i | \(0.426002\pi\) | |||||||
\(882\) | 27.1129 | + | 6.04340i | 0.912940 | + | 0.203492i | ||||
\(883\) | −38.3258 | + | 11.2535i | −1.28976 | + | 0.378709i | −0.853492 | − | 0.521105i | \(-0.825520\pi\) |
−0.436273 | + | 0.899815i | \(0.643702\pi\) | |||||||
\(884\) | −33.1669 | − | 38.2766i | −1.11552 | − | 1.28738i | ||||
\(885\) | −5.52919 | − | 9.37347i | −0.185862 | − | 0.315086i | ||||
\(886\) | 71.9187 | − | 46.2193i | 2.41616 | − | 1.55277i | ||||
\(887\) | 25.8278 | − | 22.3799i | 0.867213 | − | 0.751444i | −0.102747 | − | 0.994707i | \(-0.532763\pi\) |
0.969960 | + | 0.243263i | \(0.0782179\pi\) | |||||||
\(888\) | −3.70533 | + | 0.935647i | −0.124343 | + | 0.0313983i | ||||
\(889\) | 12.8164 | + | 1.84272i | 0.429849 | + | 0.0618029i | ||||
\(890\) | 6.15666 | + | 5.33477i | 0.206372 | + | 0.178822i | ||||
\(891\) | −24.0975 | + | 36.6666i | −0.807296 | + | 1.22838i | ||||
\(892\) | −7.01603 | − | 2.06009i | −0.234914 | − | 0.0689770i | ||||
\(893\) | 17.4479 | + | 38.2055i | 0.583870 | + | 1.27850i | ||||
\(894\) | 17.3941 | − | 1.82510i | 0.581747 | − | 0.0610403i | ||||
\(895\) | −12.5991 | + | 19.6046i | −0.421142 | + | 0.655310i | ||||
\(896\) | 11.6888 | 0.390495 | ||||||||
\(897\) | −6.05305 | − | 28.6406i | −0.202106 | − | 0.956281i | ||||
\(898\) | −23.9645 | −0.799706 | ||||||||
\(899\) | −4.08343 | + | 6.35394i | −0.136190 | + | 0.211916i | ||||
\(900\) | −1.78126 | − | 26.8325i | −0.0593754 | − | 0.894418i | ||||
\(901\) | 14.9621 | + | 32.7624i | 0.498460 | + | 1.09147i | ||||
\(902\) | 29.6974 | + | 8.71994i | 0.988815 | + | 0.290342i | ||||
\(903\) | 2.10893 | − | 4.18633i | 0.0701806 | − | 0.139312i | ||||
\(904\) | 11.0094 | + | 9.53972i | 0.366168 | + | 0.317286i | ||||
\(905\) | −19.9797 | − | 2.87264i | −0.664146 | − | 0.0954898i | ||||
\(906\) | −4.60320 | − | 18.2295i | −0.152931 | − | 0.605635i | ||||
\(907\) | −3.14593 | + | 2.72596i | −0.104459 | + | 0.0905142i | −0.705524 | − | 0.708686i | \(-0.749289\pi\) |
0.601066 | + | 0.799200i | \(0.294743\pi\) | |||||||
\(908\) | 6.82795 | − | 4.38806i | 0.226593 | − | 0.145623i | ||||
\(909\) | 11.1228 | + | 20.6199i | 0.368921 | + | 0.683918i | ||||
\(910\) | 9.04138 | + | 10.4343i | 0.299719 | + | 0.345894i | ||||
\(911\) | 38.2480 | − | 11.2306i | 1.26721 | − | 0.372087i | 0.422039 | − | 0.906578i | \(-0.361315\pi\) |
0.845175 | + | 0.534490i | \(0.179496\pi\) | |||||||
\(912\) | 18.9300 | + | 3.46534i | 0.626835 | + | 0.114749i | ||||
\(913\) | −32.7545 | + | 37.8007i | −1.08401 | + | 1.25102i | ||||
\(914\) | 16.8155 | − | 36.8209i | 0.556209 | − | 1.21793i | ||||
\(915\) | −2.24539 | + | 6.68921i | −0.0742304 | + | 0.221138i | ||||
\(916\) | 31.9860 | − | 14.6075i | 1.05685 | − | 0.482645i | ||||
\(917\) | 1.95702 | + | 13.6114i | 0.0646266 | + | 0.449488i | ||||
\(918\) | −40.8469 | + | 49.8997i | −1.34815 | + | 1.64694i | ||||
\(919\) | − | 25.0714i | − | 0.827029i | −0.910498 | − | 0.413514i | \(-0.864301\pi\) | ||
0.910498 | − | 0.413514i | \(-0.135699\pi\) | |||||||
\(920\) | −4.41533 | + | 2.59970i | −0.145569 | + | 0.0857097i | ||||
\(921\) | 30.7310 | + | 1.17623i | 1.01262 | + | 0.0387579i | ||||
\(922\) | 4.68740 | + | 3.01241i | 0.154371 | + | 0.0992083i | ||||
\(923\) | −3.25180 | + | 0.467539i | −0.107034 | + | 0.0153892i | ||||
\(924\) | 30.7621 | − | 12.6501i | 1.01200 | − | 0.416157i | ||||
\(925\) | −2.46169 | + | 8.38375i | −0.0809399 | + | 0.275656i | ||||
\(926\) | 36.3416 | + | 16.5966i | 1.19426 | + | 0.545400i | ||||
\(927\) | 19.4112 | + | 19.6107i | 0.637546 | + | 0.644099i | ||||
\(928\) | 6.11978 | − | 42.5640i | 0.200892 | − | 1.39723i | ||||
\(929\) | −9.79787 | − | 33.3685i | −0.321458 | − | 1.09478i | −0.948757 | − | 0.316006i | \(-0.897658\pi\) |
0.627299 | − | 0.778778i | \(-0.284160\pi\) | |||||||
\(930\) | 4.62049 | − | 3.70399i | 0.151512 | − | 0.121458i | ||||
\(931\) | −9.02184 | − | 14.0383i | −0.295679 | − | 0.460085i | ||||
\(932\) | −17.0559 | − | 26.5395i | −0.558684 | − | 0.869329i | ||||
\(933\) | −22.0860 | + | 17.7051i | −0.723065 | + | 0.579640i | ||||
\(934\) | 19.7529 | + | 67.2721i | 0.646334 | + | 2.20121i | ||||
\(935\) | 4.70641 | − | 32.7338i | 0.153916 | − | 1.07051i | ||||
\(936\) | 6.89892 | + | 6.96983i | 0.225498 | + | 0.227816i | ||||
\(937\) | 29.0588 | + | 13.2707i | 0.949310 | + | 0.433536i | 0.829030 | − | 0.559204i | \(-0.188893\pi\) |
0.120281 | + | 0.992740i | \(0.461621\pi\) | |||||||
\(938\) | 13.1792 | − | 44.8843i | 0.430316 | − | 1.46552i | ||||
\(939\) | −0.221518 | + | 0.0910928i | −0.00722895 | + | 0.00297270i | ||||
\(940\) | −30.7688 | + | 4.42388i | −1.00357 | + | 0.144291i | ||||
\(941\) | 37.4172 | + | 24.0466i | 1.21977 | + | 0.783896i | 0.982266 | − | 0.187492i | \(-0.0600358\pi\) |
0.237500 | + | 0.971388i | \(0.423672\pi\) | |||||||
\(942\) | 65.8891 | + | 2.52190i | 2.14678 | + | 0.0821680i | ||||
\(943\) | 9.02869 | + | 11.2814i | 0.294015 | + | 0.367372i | ||||
\(944\) | − | 15.9607i | − | 0.519476i | ||||||
\(945\) | 6.11946 | − | 7.47571i | 0.199066 | − | 0.243185i | ||||
\(946\) | 2.45106 | + | 17.0475i | 0.0796909 | + | 0.554262i | ||||
\(947\) | −27.8050 | + | 12.6981i | −0.903541 | + | 0.412633i | −0.812330 | − | 0.583198i | \(-0.801801\pi\) |
−0.0912109 | + | 0.995832i | \(0.529074\pi\) | |||||||
\(948\) | −1.48436 | + | 4.42204i | −0.0482098 | + | 0.143621i | ||||
\(949\) | −7.65642 | + | 16.7652i | −0.248538 | + | 0.544222i | ||||
\(950\) | −19.2496 | + | 22.2153i | −0.624540 | + | 0.720758i | ||||
\(951\) | −55.0462 | − | 10.0768i | −1.78500 | − | 0.326762i | ||||
\(952\) | 8.46161 | − | 2.48455i | 0.274242 | − | 0.0805248i | ||||
\(953\) | 28.3870 | + | 32.7603i | 0.919544 | + | 1.06121i | 0.997931 | + | 0.0642872i | \(0.0204774\pi\) |
−0.0783876 | + | 0.996923i | \(0.524977\pi\) | |||||||
\(954\) | −18.3536 | − | 34.0245i | −0.594219 | − | 1.10158i | ||||
\(955\) | −4.30439 | + | 2.76626i | −0.139287 | + | 0.0895141i | ||||
\(956\) | 7.93461 | − | 6.87537i | 0.256623 | − | 0.222366i | ||||
\(957\) | −11.0841 | − | 43.8951i | −0.358298 | − | 1.41893i | ||||
\(958\) | −8.62568 | − | 1.24019i | −0.278683 | − | 0.0400686i | ||||
\(959\) | −12.0558 | − | 10.4464i | −0.389303 | − | 0.337333i | ||||
\(960\) | −9.91661 | + | 19.6850i | −0.320057 | + | 0.635330i | ||||
\(961\) | 27.8402 | + | 8.17461i | 0.898070 | + | 0.263697i | ||||
\(962\) | −7.33767 | − | 16.0673i | −0.236576 | − | 0.518029i | ||||
\(963\) | −1.39582 | − | 21.0263i | −0.0449795 | − | 0.677562i | ||||
\(964\) | 27.4885 | − | 42.7730i | 0.885345 | − | 1.37762i | ||||
\(965\) | 18.7574 | 0.603822 | ||||||||
\(966\) | 27.5732 | + | 6.16933i | 0.887153 | + | 0.198495i | ||||
\(967\) | 48.2618 | 1.55200 | 0.775998 | − | 0.630735i | \(-0.217247\pi\) | ||||
0.775998 | + | 0.630735i | \(0.217247\pi\) | |||||||
\(968\) | −6.40264 | + | 9.96270i | −0.205789 | + | 0.320213i | ||||
\(969\) | 38.5273 | − | 4.04252i | 1.23768 | − | 0.129864i | ||||
\(970\) | −10.7949 | − | 23.6376i | −0.346605 | − | 0.758959i | ||||
\(971\) | −10.7524 | − | 3.15720i | −0.345063 | − | 0.101320i | 0.104609 | − | 0.994513i | \(-0.466641\pi\) |
−0.449672 | + | 0.893194i | \(0.648459\pi\) | |||||||
\(972\) | 22.0922 | − | 30.9663i | 0.708606 | − | 0.993243i | ||||
\(973\) | 1.86571 | + | 1.61665i | 0.0598120 | + | 0.0518274i | ||||
\(974\) | −16.1728 | − | 2.32530i | −0.518210 | − | 0.0745073i | ||||
\(975\) | 21.7396 | − | 5.48956i | 0.696226 | − | 0.175807i | ||||
\(976\) | −7.82079 | + | 6.77675i | −0.250337 | + | 0.216919i | ||||
\(977\) | −25.9832 | + | 16.6984i | −0.831277 | + | 0.534229i | −0.885684 | − | 0.464289i | \(-0.846310\pi\) |
0.0544063 | + | 0.998519i | \(0.482673\pi\) | |||||||
\(978\) | −8.56265 | − | 14.5160i | −0.273803 | − | 0.464171i | ||||
\(979\) | 10.7160 | + | 12.3669i | 0.342484 | + | 0.395247i | ||||
\(980\) | 11.8501 | − | 3.47950i | 0.378537 | − | 0.111149i | ||||
\(981\) | −14.8203 | − | 3.30341i | −0.473176 | − | 0.105470i | ||||
\(982\) | −11.3277 | + | 13.0729i | −0.361482 | + | 0.417172i | ||||
\(983\) | 21.5590 | − | 47.2077i | 0.687626 | − | 1.50569i | −0.166730 | − | 0.986003i | \(-0.553321\pi\) |
0.854356 | − | 0.519688i | \(-0.173952\pi\) | |||||||
\(984\) | −4.58906 | − | 1.54043i | −0.146294 | − | 0.0491071i | ||||
\(985\) | −11.4629 | + | 5.23491i | −0.365237 | + | 0.166798i | ||||
\(986\) | −9.46945 | − | 65.8615i | −0.301569 | − | 2.09746i | ||||
\(987\) | 25.3558 | + | 17.7011i | 0.807085 | + | 0.563432i | ||||
\(988\) | − | 32.6570i | − | 1.03896i | ||||||
\(989\) | −3.62319 | + | 7.17780i | −0.115211 | + | 0.228241i | ||||
\(990\) | −2.71324 | + | 35.3922i | −0.0862326 | + | 1.12484i | ||||
\(991\) | 21.2430 | + | 13.6520i | 0.674806 | + | 0.433672i | 0.832655 | − | 0.553792i | \(-0.186820\pi\) |
−0.157849 | + | 0.987463i | \(0.550456\pi\) | |||||||
\(992\) | 11.1835 | − | 1.60794i | 0.355077 | − | 0.0510523i | ||||
\(993\) | 8.65058 | + | 21.0363i | 0.274518 | + | 0.667566i | ||||
\(994\) | 0.893364 | − | 3.04252i | 0.0283358 | − | 0.0965028i | ||||
\(995\) | −15.6878 | − | 7.16440i | −0.497338 | − | 0.227127i | ||||
\(996\) | 29.6295 | − | 31.6617i | 0.938848 | − | 1.00324i | ||||
\(997\) | −4.09241 | + | 28.4634i | −0.129608 | + | 0.901444i | 0.816443 | + | 0.577426i | \(0.195943\pi\) |
−0.946051 | + | 0.324018i | \(0.894966\pi\) | |||||||
\(998\) | −6.10673 | − | 20.7976i | −0.193305 | − | 0.658337i | ||||
\(999\) | −10.2063 | + | 6.97099i | −0.322914 | + | 0.220552i |
(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 | 69.2.g.a.44.6 | yes | 60 | |
3.2 | odd | 2 | inner | 69.2.g.a.44.1 | yes | 60 | |
23.11 | odd | 22 | inner | 69.2.g.a.11.1 | ✓ | 60 | |
69.11 | even | 22 | inner | 69.2.g.a.11.6 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.g.a.11.1 | ✓ | 60 | 23.11 | odd | 22 | inner | |
69.2.g.a.11.6 | yes | 60 | 69.11 | even | 22 | inner | |
69.2.g.a.44.1 | yes | 60 | 3.2 | odd | 2 | inner | |
69.2.g.a.44.6 | yes | 60 | 1.1 | even | 1 | trivial |