Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 47.4 | ||
Character | \(\chi\) | \(=\) | 570.47 |
Dual form | 570.2.bi.a.473.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.819152 | − | 0.573576i | −0.579228 | − | 0.405580i | ||||
\(3\) | −1.56152 | + | 0.749446i | −0.901541 | + | 0.432693i | ||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | 2.02824 | − | 0.941402i | 0.907057 | − | 0.421008i | ||||
\(6\) | 1.70898 | + | 0.281738i | 0.697689 | + | 0.115019i | ||||
\(7\) | 5.01697 | − | 1.34429i | 1.89624 | − | 0.508095i | 0.898648 | − | 0.438671i | \(-0.144551\pi\) |
0.997587 | − | 0.0694238i | \(-0.0221161\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | 1.87666 | − | 2.34054i | 0.625554 | − | 0.780181i | ||||
\(10\) | −2.20140 | − | 0.392200i | −0.696145 | − | 0.124024i | ||||
\(11\) | −1.73942 | + | 1.00426i | −0.524456 | + | 0.302795i | −0.738756 | − | 0.673973i | \(-0.764586\pi\) |
0.214300 | + | 0.976768i | \(0.431253\pi\) | |||||||
\(12\) | −1.23832 | − | 1.21102i | −0.357472 | − | 0.349591i | ||||
\(13\) | −1.02434 | + | 0.0896181i | −0.284101 | + | 0.0248556i | −0.228315 | − | 0.973587i | \(-0.573322\pi\) |
−0.0557851 | + | 0.998443i | \(0.517766\pi\) | |||||||
\(14\) | −4.88071 | − | 1.77643i | −1.30443 | − | 0.474772i | ||||
\(15\) | −2.46160 | + | 2.99007i | −0.635582 | + | 0.772033i | ||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | 0.388500 | + | 0.272031i | 0.0942251 | + | 0.0659771i | 0.619740 | − | 0.784808i | \(-0.287238\pi\) |
−0.525514 | + | 0.850785i | \(0.676127\pi\) | |||||||
\(18\) | −2.87975 | + | 0.840853i | −0.678764 | + | 0.198191i | ||||
\(19\) | −4.32037 | − | 0.578248i | −0.991162 | − | 0.132659i | ||||
\(20\) | 1.57833 | + | 1.58394i | 0.352925 | + | 0.354181i | ||||
\(21\) | −6.82660 | + | 5.85908i | −1.48969 | + | 1.27856i | ||||
\(22\) | 2.00087 | + | 0.175053i | 0.426587 | + | 0.0373215i | ||||
\(23\) | 5.18453 | + | 2.41759i | 1.08105 | + | 0.504101i | 0.879754 | − | 0.475429i | \(-0.157707\pi\) |
0.201295 | + | 0.979531i | \(0.435485\pi\) | |||||||
\(24\) | 0.319760 | + | 1.70228i | 0.0652706 | + | 0.347476i | ||||
\(25\) | 3.22752 | − | 3.81878i | 0.645505 | − | 0.763756i | ||||
\(26\) | 0.890492 | + | 0.514126i | 0.174640 | + | 0.100828i | ||||
\(27\) | −1.17632 | + | 5.06125i | −0.226383 | + | 0.974038i | ||||
\(28\) | 2.97912 | + | 4.25463i | 0.563002 | + | 0.804050i | ||||
\(29\) | 1.24611 | − | 7.06702i | 0.231396 | − | 1.31231i | −0.618676 | − | 0.785646i | \(-0.712331\pi\) |
0.850072 | − | 0.526666i | \(-0.176558\pi\) | |||||||
\(30\) | 3.73146 | − | 1.03741i | 0.681268 | − | 0.189404i | ||||
\(31\) | 2.75367 | − | 4.76949i | 0.494573 | − | 0.856626i | −0.505407 | − | 0.862881i | \(-0.668658\pi\) |
0.999980 | + | 0.00625478i | \(0.00199097\pi\) | |||||||
\(32\) | 0.996195 | − | 0.0871557i | 0.176104 | − | 0.0154071i | ||||
\(33\) | 1.96350 | − | 2.87177i | 0.341802 | − | 0.499910i | ||||
\(34\) | −0.162210 | − | 0.445669i | −0.0278188 | − | 0.0764316i | ||||
\(35\) | 8.91010 | − | 7.44953i | 1.50608 | − | 1.25920i | ||||
\(36\) | 2.84125 | + | 0.962971i | 0.473541 | + | 0.160495i | ||||
\(37\) | 2.06560 | + | 2.06560i | 0.339583 | + | 0.339583i | 0.856210 | − | 0.516627i | \(-0.172813\pi\) |
−0.516627 | + | 0.856210i | \(0.672813\pi\) | |||||||
\(38\) | 3.20737 | + | 2.95174i | 0.520305 | + | 0.478835i | ||||
\(39\) | 1.53236 | − | 0.907627i | 0.245374 | − | 0.145337i | ||||
\(40\) | −0.384377 | − | 2.20278i | −0.0607754 | − | 0.348291i | ||||
\(41\) | −4.35503 | − | 5.19012i | −0.680142 | − | 0.810561i | 0.309984 | − | 0.950742i | \(-0.399676\pi\) |
−0.990126 | + | 0.140180i | \(0.955232\pi\) | |||||||
\(42\) | 8.95265 | − | 0.883902i | 1.38142 | − | 0.136389i | ||||
\(43\) | −4.07512 | + | 1.90026i | −0.621450 | + | 0.289787i | −0.707729 | − | 0.706484i | \(-0.750280\pi\) |
0.0862786 | + | 0.996271i | \(0.472502\pi\) | |||||||
\(44\) | −1.53861 | − | 1.29105i | −0.231954 | − | 0.194633i | ||||
\(45\) | 1.60293 | − | 6.51388i | 0.238950 | − | 0.971032i | ||||
\(46\) | −2.86025 | − | 4.95409i | −0.421720 | − | 0.730441i | ||||
\(47\) | 4.58685 | + | 6.55070i | 0.669061 | + | 0.955518i | 0.999930 | + | 0.0118414i | \(0.00376933\pi\) |
−0.330869 | + | 0.943677i | \(0.607342\pi\) | |||||||
\(48\) | 0.714455 | − | 1.57783i | 0.103123 | − | 0.227740i | ||||
\(49\) | 17.3007 | − | 9.98854i | 2.47152 | − | 1.42693i | ||||
\(50\) | −4.83420 | + | 1.27693i | −0.683658 | + | 0.180585i | ||||
\(51\) | −0.810521 | − | 0.133620i | −0.113496 | − | 0.0187106i | ||||
\(52\) | −0.434558 | − | 0.931913i | −0.0602624 | − | 0.129233i | ||||
\(53\) | 2.69681 | + | 1.25754i | 0.370435 | + | 0.172737i | 0.598916 | − | 0.800812i | \(-0.295598\pi\) |
−0.228481 | + | 0.973548i | \(0.573376\pi\) | |||||||
\(54\) | 3.86660 | − | 3.47122i | 0.526178 | − | 0.472374i | ||||
\(55\) | −2.58256 | + | 3.67437i | −0.348232 | + | 0.495452i | ||||
\(56\) | − | 5.19395i | − | 0.694070i | ||||||
\(57\) | 7.17970 | − | 2.33494i | 0.950974 | − | 0.309271i | ||||
\(58\) | −5.07423 | + | 5.07423i | −0.666279 | + | 0.666279i | ||||
\(59\) | 1.86476 | + | 10.5756i | 0.242771 | + | 1.37682i | 0.825612 | + | 0.564238i | \(0.190830\pi\) |
−0.582841 | + | 0.812586i | \(0.698059\pi\) | |||||||
\(60\) | −3.65166 | − | 1.29048i | −0.471428 | − | 0.166600i | ||||
\(61\) | −7.08291 | + | 2.57797i | −0.906874 | + | 0.330075i | −0.753004 | − | 0.658016i | \(-0.771396\pi\) |
−0.153870 | + | 0.988091i | \(0.549174\pi\) | |||||||
\(62\) | −4.99134 | + | 2.32750i | −0.633901 | + | 0.295593i | ||||
\(63\) | 6.26877 | − | 14.2652i | 0.789791 | − | 1.79725i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −1.99324 | + | 1.14608i | −0.247231 | + | 0.142154i | ||||
\(66\) | −3.25558 | + | 1.22620i | −0.400735 | + | 0.150934i | ||||
\(67\) | 11.1451 | − | 7.80390i | 1.36159 | − | 0.953398i | 0.361817 | − | 0.932249i | \(-0.382157\pi\) |
0.999776 | − | 0.0211488i | \(-0.00673237\pi\) | |||||||
\(68\) | −0.122750 | + | 0.458111i | −0.0148857 | + | 0.0555541i | ||||
\(69\) | −9.90757 | + | 0.110429i | −1.19273 | + | 0.0132940i | ||||
\(70\) | −11.5716 | + | 0.991678i | −1.38307 | + | 0.118528i | ||||
\(71\) | −3.08482 | + | 8.47548i | −0.366101 | + | 1.00585i | 0.610729 | + | 0.791839i | \(0.290876\pi\) |
−0.976830 | + | 0.214015i | \(0.931346\pi\) | |||||||
\(72\) | −1.77508 | − | 2.41849i | −0.209195 | − | 0.285022i | ||||
\(73\) | 0.271616 | − | 3.10459i | 0.0317903 | − | 0.363364i | −0.963592 | − | 0.267376i | \(-0.913843\pi\) |
0.995382 | − | 0.0959881i | \(-0.0306011\pi\) | |||||||
\(74\) | −0.507261 | − | 2.87682i | −0.0589679 | − | 0.334424i | ||||
\(75\) | −2.17786 | + | 8.38194i | −0.251477 | + | 0.967863i | ||||
\(76\) | −0.934280 | − | 4.25760i | −0.107169 | − | 0.488380i | ||||
\(77\) | −7.37662 | + | 7.37662i | −0.840643 | + | 0.840643i | ||||
\(78\) | −1.77583 | − | 0.135440i | −0.201073 | − | 0.0153355i | ||||
\(79\) | −4.64590 | − | 5.53677i | −0.522704 | − | 0.622935i | 0.438514 | − | 0.898725i | \(-0.355505\pi\) |
−0.961218 | + | 0.275790i | \(0.911061\pi\) | |||||||
\(80\) | −0.948601 | + | 2.02488i | −0.106057 | + | 0.226389i | ||||
\(81\) | −1.95629 | − | 8.78481i | −0.217365 | − | 0.976090i | ||||
\(82\) | 0.590500 | + | 6.74944i | 0.0652098 | + | 0.745351i | ||||
\(83\) | −0.322576 | + | 0.0864341i | −0.0354074 | + | 0.00948738i | −0.276479 | − | 0.961020i | \(-0.589168\pi\) |
0.241072 | + | 0.970507i | \(0.422501\pi\) | |||||||
\(84\) | −7.84057 | − | 4.41098i | −0.855476 | − | 0.481277i | ||||
\(85\) | 1.04406 | + | 0.186009i | 0.113244 | + | 0.0201755i | ||||
\(86\) | 4.42809 | + | 0.780792i | 0.477493 | + | 0.0841949i | ||||
\(87\) | 3.35054 | + | 11.9692i | 0.359215 | + | 1.28323i | ||||
\(88\) | 0.519842 | + | 1.94008i | 0.0554153 | + | 0.206813i | ||||
\(89\) | 5.13331 | + | 4.30736i | 0.544130 | + | 0.456579i | 0.872948 | − | 0.487814i | \(-0.162206\pi\) |
−0.328817 | + | 0.944394i | \(0.606650\pi\) | |||||||
\(90\) | −5.04925 | + | 4.41646i | −0.532238 | + | 0.465535i | ||||
\(91\) | −5.01860 | + | 1.82662i | −0.526092 | + | 0.191482i | ||||
\(92\) | −0.498574 | + | 5.69873i | −0.0519799 | + | 0.594133i | ||||
\(93\) | −0.725417 | + | 9.51136i | −0.0752222 | + | 0.986282i | ||||
\(94\) | − | 7.99693i | − | 0.824820i | ||||||
\(95\) | −9.30712 | + | 2.89438i | −0.954891 | + | 0.296958i | ||||
\(96\) | −1.49025 | + | 0.882689i | −0.152098 | + | 0.0900891i | ||||
\(97\) | 2.88854 | − | 4.12526i | 0.293287 | − | 0.418857i | −0.645285 | − | 0.763942i | \(-0.723261\pi\) |
0.938571 | + | 0.345086i | \(0.112150\pi\) | |||||||
\(98\) | −19.9011 | − | 1.74112i | −2.01031 | − | 0.175879i | ||||
\(99\) | −0.913801 | + | 5.95585i | −0.0918405 | + | 0.598585i | ||||
\(100\) | 4.69236 | + | 1.72678i | 0.469236 | + | 0.172678i | ||||
\(101\) | 3.02992 | − | 3.61092i | 0.301488 | − | 0.359300i | −0.593937 | − | 0.804512i | \(-0.702427\pi\) |
0.895425 | + | 0.445212i | \(0.146872\pi\) | |||||||
\(102\) | 0.587299 | + | 0.574351i | 0.0581512 | + | 0.0568692i | ||||
\(103\) | 7.07384 | + | 1.89543i | 0.697006 | + | 0.186762i | 0.589889 | − | 0.807484i | \(-0.299171\pi\) |
0.107117 | + | 0.994246i | \(0.465838\pi\) | |||||||
\(104\) | −0.178554 | + | 1.01263i | −0.0175087 | + | 0.0992966i | ||||
\(105\) | −8.33023 | + | 18.3102i | −0.812947 | + | 1.78689i | ||||
\(106\) | −1.48780 | − | 2.57694i | −0.144508 | − | 0.250295i | ||||
\(107\) | −2.01675 | − | 7.52661i | −0.194967 | − | 0.727625i | −0.992275 | − | 0.124054i | \(-0.960410\pi\) |
0.797309 | − | 0.603571i | \(-0.206256\pi\) | |||||||
\(108\) | −5.15835 | + | 0.625668i | −0.496362 | + | 0.0602049i | ||||
\(109\) | 1.15879 | − | 3.18376i | 0.110992 | − | 0.304949i | −0.871744 | − | 0.489962i | \(-0.837011\pi\) |
0.982736 | + | 0.185013i | \(0.0592328\pi\) | |||||||
\(110\) | 4.22304 | − | 1.52857i | 0.402651 | − | 0.145744i | ||||
\(111\) | −4.77353 | − | 1.67741i | −0.453083 | − | 0.159213i | ||||
\(112\) | −2.97912 | + | 4.25463i | −0.281501 | + | 0.402025i | ||||
\(113\) | −6.94000 | − | 6.94000i | −0.652861 | − | 0.652861i | 0.300820 | − | 0.953681i | \(-0.402740\pi\) |
−0.953681 | + | 0.300820i | \(0.902740\pi\) | |||||||
\(114\) | −7.22053 | − | 2.20543i | −0.676265 | − | 0.206557i | ||||
\(115\) | 12.7914 | + | 0.0227182i | 1.19280 | + | 0.00211848i | ||||
\(116\) | 7.06702 | − | 1.24611i | 0.656156 | − | 0.115698i | ||||
\(117\) | −1.71258 | + | 2.56569i | −0.158328 | + | 0.237198i | ||||
\(118\) | 4.53839 | − | 9.73260i | 0.417792 | − | 0.895958i | ||||
\(119\) | 2.31478 | + | 0.842511i | 0.212196 | + | 0.0772329i | ||||
\(120\) | 2.25108 | + | 3.15161i | 0.205494 | + | 0.287701i | ||||
\(121\) | −3.48294 | + | 6.03262i | −0.316631 | + | 0.548420i | ||||
\(122\) | 7.28065 | + | 1.95084i | 0.659159 | + | 0.176621i | ||||
\(123\) | 10.6902 | + | 4.84060i | 0.963900 | + | 0.436462i | ||||
\(124\) | 5.42367 | + | 0.956339i | 0.487060 | + | 0.0858818i | ||||
\(125\) | 2.95118 | − | 10.7838i | 0.263962 | − | 0.964533i | ||||
\(126\) | −13.3173 | + | 8.08976i | −1.18640 | + | 0.720693i | ||||
\(127\) | 1.19705 | + | 13.6823i | 0.106221 | + | 1.21411i | 0.842977 | + | 0.537949i | \(0.180801\pi\) |
−0.736757 | + | 0.676158i | \(0.763644\pi\) | |||||||
\(128\) | 0.422618 | + | 0.906308i | 0.0373545 | + | 0.0801070i | ||||
\(129\) | 4.93922 | − | 6.02137i | 0.434874 | − | 0.530152i | ||||
\(130\) | 2.29013 | + | 0.204460i | 0.200858 | + | 0.0179323i | ||||
\(131\) | −7.66555 | + | 1.35164i | −0.669743 | + | 0.118094i | −0.498172 | − | 0.867078i | \(-0.665995\pi\) |
−0.171570 | + | 0.985172i | \(0.554884\pi\) | |||||||
\(132\) | 3.37013 | + | 0.862885i | 0.293333 | + | 0.0751045i | ||||
\(133\) | −22.4525 | + | 2.90679i | −1.94688 | + | 0.252051i | ||||
\(134\) | −13.6057 | −1.17535 | ||||||||
\(135\) | 2.37881 | + | 11.3728i | 0.204735 | + | 0.978817i | ||||
\(136\) | 0.363313 | − | 0.304856i | 0.0311538 | − | 0.0261411i | ||||
\(137\) | 3.08927 | − | 6.62496i | 0.263934 | − | 0.566009i | −0.729022 | − | 0.684490i | \(-0.760025\pi\) |
0.992956 | + | 0.118481i | \(0.0378026\pi\) | |||||||
\(138\) | 8.17915 | + | 5.59229i | 0.696255 | + | 0.476048i | ||||
\(139\) | −7.24953 | + | 8.63965i | −0.614897 | + | 0.732806i | −0.980184 | − | 0.198089i | \(-0.936526\pi\) |
0.365287 | + | 0.930895i | \(0.380971\pi\) | |||||||
\(140\) | 10.0477 | + | 5.82486i | 0.849186 | + | 0.492291i | ||||
\(141\) | −12.0718 | − | 6.79142i | −1.01663 | − | 0.571941i | ||||
\(142\) | 7.38827 | − | 5.17333i | 0.620010 | − | 0.434136i | ||||
\(143\) | 1.69176 | − | 1.18458i | 0.141472 | − | 0.0990598i | ||||
\(144\) | 0.0668670 | + | 2.99925i | 0.00557225 | + | 0.249938i | ||||
\(145\) | −4.12551 | − | 15.5067i | −0.342605 | − | 1.28776i | ||||
\(146\) | −2.00321 | + | 2.38734i | −0.165787 | + | 0.197577i | ||||
\(147\) | −19.5294 | + | 28.5632i | −1.61075 | + | 2.35585i | ||||
\(148\) | −1.23455 | + | 2.64751i | −0.101480 | + | 0.217624i | ||||
\(149\) | −2.77212 | + | 2.32609i | −0.227101 | + | 0.190561i | −0.749237 | − | 0.662302i | \(-0.769580\pi\) |
0.522136 | + | 0.852862i | \(0.325135\pi\) | |||||||
\(150\) | 6.59168 | − | 5.61692i | 0.538208 | − | 0.458619i | ||||
\(151\) | 2.56780 | 0.208964 | 0.104482 | − | 0.994527i | \(-0.466681\pi\) | ||||
0.104482 | + | 0.994527i | \(0.466681\pi\) | |||||||
\(152\) | −1.67674 | + | 4.02350i | −0.136002 | + | 0.326349i | ||||
\(153\) | 1.36578 | − | 0.398792i | 0.110417 | − | 0.0322404i | ||||
\(154\) | 10.2736 | − | 1.81152i | 0.827872 | − | 0.145976i | ||||
\(155\) | 1.09509 | − | 12.2660i | 0.0879598 | − | 0.985228i | ||||
\(156\) | 1.37699 | + | 1.12952i | 0.110247 | + | 0.0904338i | ||||
\(157\) | −7.93209 | − | 17.0104i | −0.633050 | − | 1.35758i | −0.917056 | − | 0.398757i | \(-0.869442\pi\) |
0.284007 | − | 0.958822i | \(-0.408336\pi\) | |||||||
\(158\) | 0.629939 | + | 7.20023i | 0.0501152 | + | 0.572820i | ||||
\(159\) | −5.15357 | + | 0.0574411i | −0.408704 | + | 0.00455537i | ||||
\(160\) | 1.93847 | − | 1.11459i | 0.153250 | − | 0.0881163i | ||||
\(161\) | 29.2605 | + | 5.15942i | 2.30605 | + | 0.406620i | ||||
\(162\) | −3.43626 | + | 8.31818i | −0.269978 | + | 0.653538i | ||||
\(163\) | 8.64162 | + | 2.31552i | 0.676864 | + | 0.181365i | 0.580845 | − | 0.814014i | \(-0.302722\pi\) |
0.0960192 | + | 0.995379i | \(0.469389\pi\) | |||||||
\(164\) | 3.38761 | − | 5.86752i | 0.264528 | − | 0.458176i | ||||
\(165\) | 1.27896 | − | 7.67308i | 0.0995672 | − | 0.597348i | ||||
\(166\) | 0.313816 | + | 0.114220i | 0.0243568 | + | 0.00886516i | ||||
\(167\) | −7.88090 | + | 16.9006i | −0.609842 | + | 1.30781i | 0.322614 | + | 0.946530i | \(0.395438\pi\) |
−0.932457 | + | 0.361281i | \(0.882340\pi\) | |||||||
\(168\) | 3.89258 | + | 8.11043i | 0.300319 | + | 0.625733i | ||||
\(169\) | −11.7613 | + | 2.07383i | −0.904712 | + | 0.159525i | ||||
\(170\) | −0.748555 | − | 0.751219i | −0.0574116 | − | 0.0576159i | ||||
\(171\) | −9.46129 | + | 9.02685i | −0.723523 | + | 0.690300i | ||||
\(172\) | −3.17944 | − | 3.17944i | −0.242430 | − | 0.242430i | ||||
\(173\) | −11.8101 | + | 16.8665i | −0.897904 | + | 1.28234i | 0.0608634 | + | 0.998146i | \(0.480615\pi\) |
−0.958767 | + | 0.284193i | \(0.908274\pi\) | |||||||
\(174\) | 4.12062 | − | 11.7263i | 0.312384 | − | 0.888972i | ||||
\(175\) | 11.0588 | − | 23.4974i | 0.835968 | − | 1.77624i | ||||
\(176\) | 0.686952 | − | 1.88739i | 0.0517810 | − | 0.142267i | ||||
\(177\) | −10.8377 | − | 15.1164i | −0.814611 | − | 1.13622i | ||||
\(178\) | −1.73436 | − | 6.47273i | −0.129996 | − | 0.485152i | ||||
\(179\) | 4.82440 | + | 8.35611i | 0.360593 | + | 0.624565i | 0.988059 | − | 0.154079i | \(-0.0492410\pi\) |
−0.627466 | + | 0.778644i | \(0.715908\pi\) | |||||||
\(180\) | 6.66928 | − | 0.721620i | 0.497099 | − | 0.0537863i | ||||
\(181\) | −0.277264 | + | 1.57244i | −0.0206088 | + | 0.116879i | −0.993377 | − | 0.114903i | \(-0.963344\pi\) |
0.972768 | + | 0.231781i | \(0.0744554\pi\) | |||||||
\(182\) | 5.15871 | + | 1.38227i | 0.382389 | + | 0.102461i | ||||
\(183\) | 9.12803 | − | 9.33380i | 0.674763 | − | 0.689975i | ||||
\(184\) | 3.67706 | − | 4.38215i | 0.271077 | − | 0.323057i | ||||
\(185\) | 6.13410 | + | 2.24498i | 0.450988 | + | 0.165054i | ||||
\(186\) | 6.04972 | − | 7.37517i | 0.443587 | − | 0.540774i | ||||
\(187\) | −0.948955 | − | 0.0830228i | −0.0693945 | − | 0.00607123i | ||||
\(188\) | −4.58685 | + | 6.55070i | −0.334531 | + | 0.477759i | ||||
\(189\) | 0.902228 | + | 26.9734i | 0.0656274 | + | 1.96203i | ||||
\(190\) | 9.28410 | + | 2.96741i | 0.673539 | + | 0.215278i | ||||
\(191\) | 5.24426i | 0.379462i | 0.981836 | + | 0.189731i | \(0.0607615\pi\) | ||||
−0.981836 | + | 0.189731i | \(0.939238\pi\) | |||||||
\(192\) | 1.72704 | + | 0.131718i | 0.124638 | + | 0.00950594i | ||||
\(193\) | −2.01421 | + | 23.0226i | −0.144986 | + | 1.65720i | 0.480522 | + | 0.876983i | \(0.340447\pi\) |
−0.625508 | + | 0.780217i | \(0.715108\pi\) | |||||||
\(194\) | −4.73230 | + | 1.72242i | −0.339760 | + | 0.123662i | ||||
\(195\) | 2.25355 | − | 3.28345i | 0.161380 | − | 0.235133i | ||||
\(196\) | 15.3033 | + | 12.8410i | 1.09309 | + | 0.917215i | ||||
\(197\) | −2.35448 | − | 8.78705i | −0.167750 | − | 0.626052i | −0.997673 | − | 0.0681742i | \(-0.978283\pi\) |
0.829923 | − | 0.557877i | \(-0.188384\pi\) | |||||||
\(198\) | 4.16468 | − | 4.35461i | 0.295971 | − | 0.309469i | ||||
\(199\) | −20.4573 | − | 3.60717i | −1.45018 | − | 0.255705i | −0.607584 | − | 0.794255i | \(-0.707861\pi\) |
−0.842594 | + | 0.538550i | \(0.818972\pi\) | |||||||
\(200\) | −2.85332 | − | 4.10592i | −0.201760 | − | 0.290332i | ||||
\(201\) | −11.5547 | + | 20.5386i | −0.815004 | + | 1.44868i | ||||
\(202\) | −4.55310 | + | 1.22000i | −0.320355 | + | 0.0858389i | ||||
\(203\) | −3.24847 | − | 37.1301i | −0.227998 | − | 2.60602i | ||||
\(204\) | −0.151653 | − | 0.807342i | −0.0106178 | − | 0.0565252i | ||||
\(205\) | −13.7190 | − | 6.42699i | −0.958180 | − | 0.448880i | ||||
\(206\) | −4.70738 | − | 5.61003i | −0.327978 | − | 0.390870i | ||||
\(207\) | 15.3881 | − | 7.59763i | 1.06954 | − | 0.528072i | ||||
\(208\) | 0.727084 | − | 0.727084i | 0.0504142 | − | 0.0504142i | ||||
\(209\) | 8.09567 | − | 3.33295i | 0.559989 | − | 0.230545i | ||||
\(210\) | 17.3260 | − | 10.2208i | 1.19561 | − | 0.705303i | ||||
\(211\) | 2.25925 | + | 12.8129i | 0.155533 | + | 0.882073i | 0.958297 | + | 0.285776i | \(0.0922512\pi\) |
−0.802763 | + | 0.596298i | \(0.796638\pi\) | |||||||
\(212\) | −0.259340 | + | 2.96428i | −0.0178116 | + | 0.203587i | ||||
\(213\) | −1.53492 | − | 15.5465i | −0.105171 | − | 1.06523i | ||||
\(214\) | −2.66506 | + | 7.32220i | −0.182180 | + | 0.500535i | ||||
\(215\) | −6.47642 | + | 7.69052i | −0.441688 | + | 0.524489i | ||||
\(216\) | 4.58434 | + | 2.44619i | 0.311925 | + | 0.166442i | ||||
\(217\) | 7.40347 | − | 27.6301i | 0.502580 | − | 1.87565i | ||||
\(218\) | −2.77536 | + | 1.94333i | −0.187971 | + | 0.131619i | ||||
\(219\) | 1.90259 | + | 5.05142i | 0.128565 | + | 0.341343i | ||||
\(220\) | −4.33607 | − | 1.17010i | −0.292338 | − | 0.0788884i | ||||
\(221\) | −0.422335 | − | 0.243835i | −0.0284093 | − | 0.0164021i | ||||
\(222\) | 2.94812 | + | 4.11204i | 0.197865 | + | 0.275982i | ||||
\(223\) | −23.4107 | + | 10.9166i | −1.56770 | + | 0.731029i | −0.995993 | − | 0.0894311i | \(-0.971495\pi\) |
−0.571704 | + | 0.820460i | \(0.693717\pi\) | |||||||
\(224\) | 4.88071 | − | 1.77643i | 0.326106 | − | 0.118693i | ||||
\(225\) | −2.88106 | − | 14.7207i | −0.192071 | − | 0.981381i | ||||
\(226\) | 1.70430 | + | 9.66554i | 0.113368 | + | 0.642942i | ||||
\(227\) | 14.2770 | − | 14.2770i | 0.947600 | − | 0.947600i | −0.0510937 | − | 0.998694i | \(-0.516271\pi\) |
0.998694 | + | 0.0510937i | \(0.0162707\pi\) | |||||||
\(228\) | 4.64973 | + | 5.94811i | 0.307936 | + | 0.393923i | ||||
\(229\) | 21.5586i | 1.42463i | 0.701859 | + | 0.712316i | \(0.252354\pi\) | ||||
−0.701859 | + | 0.712316i | \(0.747646\pi\) | |||||||
\(230\) | −10.4651 | − | 7.35545i | −0.690046 | − | 0.485004i | ||||
\(231\) | 5.99032 | − | 17.0471i | 0.394134 | − | 1.12162i | ||||
\(232\) | −6.50370 | − | 3.03273i | −0.426989 | − | 0.199108i | ||||
\(233\) | −1.28375 | − | 2.75301i | −0.0841011 | − | 0.180355i | 0.859760 | − | 0.510699i | \(-0.170613\pi\) |
−0.943861 | + | 0.330343i | \(0.892835\pi\) | |||||||
\(234\) | 2.87449 | − | 1.11940i | 0.187911 | − | 0.0731772i | ||||
\(235\) | 15.4701 | + | 8.96833i | 1.00916 | + | 0.585029i | ||||
\(236\) | −9.30002 | + | 5.36937i | −0.605380 | + | 0.349516i | ||||
\(237\) | 11.4041 | + | 5.16389i | 0.740779 | + | 0.335431i | ||||
\(238\) | −1.41291 | − | 2.01785i | −0.0915855 | − | 0.130798i | ||||
\(239\) | 7.44555 | + | 12.8961i | 0.481612 | + | 0.834177i | 0.999777 | − | 0.0211037i | \(-0.00671802\pi\) |
−0.518165 | + | 0.855281i | \(0.673385\pi\) | |||||||
\(240\) | −0.0362869 | − | 3.87281i | −0.00234231 | − | 0.249989i | ||||
\(241\) | 7.21184 | + | 6.05145i | 0.464556 | + | 0.389808i | 0.844804 | − | 0.535076i | \(-0.179717\pi\) |
−0.380248 | + | 0.924884i | \(0.624161\pi\) | |||||||
\(242\) | 6.31323 | − | 2.94391i | 0.405829 | − | 0.189241i | ||||
\(243\) | 9.63852 | + | 12.2515i | 0.618311 | + | 0.785933i | ||||
\(244\) | −4.84500 | − | 5.77404i | −0.310169 | − | 0.369645i | ||||
\(245\) | 25.6867 | − | 36.5460i | 1.64106 | − | 2.33484i | ||||
\(246\) | −5.98042 | − | 10.0968i | −0.381298 | − | 0.643749i | ||||
\(247\) | 4.47735 | + | 0.205138i | 0.284887 | + | 0.0130526i | ||||
\(248\) | −3.89427 | − | 3.89427i | −0.247287 | − | 0.247287i | ||||
\(249\) | 0.438930 | − | 0.376722i | 0.0278161 | − | 0.0238738i | ||||
\(250\) | −8.60281 | + | 7.14085i | −0.544089 | + | 0.451627i | ||||
\(251\) | −8.45367 | − | 23.2263i | −0.533591 | − | 1.46603i | −0.854768 | − | 0.519010i | \(-0.826301\pi\) |
0.321177 | − | 0.947019i | \(-0.395921\pi\) | |||||||
\(252\) | 15.5490 | + | 1.01173i | 0.979492 | + | 0.0637328i | ||||
\(253\) | −11.4460 | + | 1.00139i | −0.719602 | + | 0.0629570i | ||||
\(254\) | 6.86728 | − | 11.8945i | 0.430891 | − | 0.746326i | ||||
\(255\) | −1.76972 | + | 0.492013i | −0.110824 | + | 0.0308110i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −5.78193 | − | 8.25745i | −0.360667 | − | 0.515086i | 0.597279 | − | 0.802033i | \(-0.296248\pi\) |
−0.957946 | + | 0.286947i | \(0.907359\pi\) | |||||||
\(258\) | −7.49969 | + | 2.09940i | −0.466910 | + | 0.130703i | ||||
\(259\) | 13.1398 | + | 7.58628i | 0.816469 | + | 0.471389i | ||||
\(260\) | −1.75869 | − | 1.48105i | −0.109070 | − | 0.0918508i | ||||
\(261\) | −14.2022 | − | 16.1790i | −0.879091 | − | 1.00145i | ||||
\(262\) | 7.05452 | + | 3.28958i | 0.435830 | + | 0.203231i | ||||
\(263\) | −28.7885 | − | 2.51866i | −1.77517 | − | 0.155308i | −0.848014 | − | 0.529975i | \(-0.822201\pi\) |
−0.927159 | + | 0.374667i | \(0.877757\pi\) | |||||||
\(264\) | −2.26572 | − | 2.63986i | −0.139446 | − | 0.162472i | ||||
\(265\) | 6.65363 | + | 0.0118172i | 0.408729 | + | 0.000725923i | ||||
\(266\) | 20.0593 | + | 10.4971i | 1.22991 | + | 0.643620i | ||||
\(267\) | −11.2439 | − | 2.87887i | −0.688114 | − | 0.176184i | ||||
\(268\) | 11.1451 | + | 7.80390i | 0.680797 | + | 0.476699i | ||||
\(269\) | 16.3812 | − | 13.7455i | 0.998782 | − | 0.838078i | 0.0119670 | − | 0.999928i | \(-0.496191\pi\) |
0.986815 | + | 0.161851i | \(0.0517463\pi\) | |||||||
\(270\) | 4.57458 | − | 10.6805i | 0.278400 | − | 0.649995i | ||||
\(271\) | −21.2278 | − | 7.72629i | −1.28950 | − | 0.469339i | −0.395936 | − | 0.918278i | \(-0.629580\pi\) |
−0.893562 | + | 0.448939i | \(0.851802\pi\) | |||||||
\(272\) | −0.472466 | + | 0.0413354i | −0.0286475 | + | 0.00250633i | ||||
\(273\) | 6.46767 | − | 6.61347i | 0.391441 | − | 0.400265i | ||||
\(274\) | −6.33051 | + | 3.65492i | −0.382440 | + | 0.220802i | ||||
\(275\) | −1.77899 | + | 9.88374i | −0.107277 | + | 0.596012i | ||||
\(276\) | −3.49236 | − | 9.27230i | −0.210215 | − | 0.558127i | ||||
\(277\) | −5.32856 | + | 19.8865i | −0.320162 | + | 1.19486i | 0.598924 | + | 0.800806i | \(0.295595\pi\) |
−0.919086 | + | 0.394056i | \(0.871072\pi\) | |||||||
\(278\) | 10.8940 | − | 2.91903i | 0.653377 | − | 0.175072i | ||||
\(279\) | −5.99551 | − | 15.3958i | −0.358942 | − | 0.921723i | ||||
\(280\) | −4.88959 | − | 10.5346i | −0.292209 | − | 0.629561i | ||||
\(281\) | −2.03613 | − | 5.59422i | −0.121465 | − | 0.333723i | 0.864026 | − | 0.503447i | \(-0.167935\pi\) |
−0.985492 | + | 0.169723i | \(0.945713\pi\) | |||||||
\(282\) | 5.99327 | + | 12.4873i | 0.356894 | + | 0.743610i | ||||
\(283\) | −8.22111 | − | 5.75648i | −0.488694 | − | 0.342187i | 0.303117 | − | 0.952953i | \(-0.401973\pi\) |
−0.791811 | + | 0.610766i | \(0.790862\pi\) | |||||||
\(284\) | −9.01942 | −0.535204 | ||||||||
\(285\) | 12.3640 | − | 11.4948i | 0.732382 | − | 0.680894i | ||||
\(286\) | −2.06526 | −0.122121 | ||||||||
\(287\) | −28.8261 | − | 20.1842i | −1.70155 | − | 1.19144i | ||||
\(288\) | 1.66553 | − | 2.49520i | 0.0981422 | − | 0.147031i | ||||
\(289\) | −5.73741 | − | 15.7634i | −0.337495 | − | 0.927259i | ||||
\(290\) | −5.51487 | + | 15.0686i | −0.323844 | + | 0.884861i | ||||
\(291\) | −1.41884 | + | 8.60646i | −0.0831737 | + | 0.504520i | ||||
\(292\) | 3.01025 | − | 0.806595i | 0.176162 | − | 0.0472024i | ||||
\(293\) | −7.75765 | + | 28.9519i | −0.453207 | + | 1.69139i | 0.240101 | + | 0.970748i | \(0.422819\pi\) |
−0.693308 | + | 0.720642i | \(0.743847\pi\) | |||||||
\(294\) | 32.3807 | − | 12.1960i | 1.88848 | − | 0.711285i | ||||
\(295\) | 13.7381 | + | 19.6944i | 0.799861 | + | 1.14665i | ||||
\(296\) | 2.52984 | − | 1.46060i | 0.147044 | − | 0.0848957i | ||||
\(297\) | −3.03667 | − | 9.98499i | −0.176206 | − | 0.579388i | ||||
\(298\) | 3.60498 | − | 0.315395i | 0.208831 | − | 0.0182703i | ||||
\(299\) | −5.52737 | − | 2.01180i | −0.319656 | − | 0.116345i | ||||
\(300\) | −8.62132 | + | 0.820278i | −0.497752 | + | 0.0473588i | ||||
\(301\) | −17.8902 | + | 15.0117i | −1.03118 | + | 0.865260i | ||||
\(302\) | −2.10342 | − | 1.47283i | −0.121038 | − | 0.0847517i | ||||
\(303\) | −2.02508 | + | 7.90927i | −0.116338 | + | 0.454376i | ||||
\(304\) | 3.68129 | − | 2.33412i | 0.211136 | − | 0.133871i | ||||
\(305\) | −11.9390 | + | 11.8966i | −0.683622 | + | 0.681198i | ||||
\(306\) | −1.34752 | − | 0.456709i | −0.0770327 | − | 0.0261083i | ||||
\(307\) | 18.5328 | + | 1.62141i | 1.05772 | + | 0.0925389i | 0.602722 | − | 0.797951i | \(-0.294083\pi\) |
0.455003 | + | 0.890490i | \(0.349638\pi\) | |||||||
\(308\) | −9.45470 | − | 4.40880i | −0.538732 | − | 0.251215i | ||||
\(309\) | −12.4664 | + | 2.34172i | −0.709191 | + | 0.133216i | ||||
\(310\) | −7.93253 | + | 9.41959i | −0.450537 | + | 0.534997i | ||||
\(311\) | 28.2558 | + | 16.3135i | 1.60224 | + | 0.925053i | 0.991038 | + | 0.133577i | \(0.0426463\pi\) |
0.611200 | + | 0.791476i | \(0.290687\pi\) | |||||||
\(312\) | −0.480097 | − | 1.71505i | −0.0271801 | − | 0.0970959i | ||||
\(313\) | 9.55086 | + | 13.6400i | 0.539846 | + | 0.770980i | 0.992701 | − | 0.120604i | \(-0.0384831\pi\) |
−0.452854 | + | 0.891584i | \(0.649594\pi\) | |||||||
\(314\) | −3.25919 | + | 18.4838i | −0.183927 | + | 1.04310i | ||||
\(315\) | −0.714727 | − | 34.8347i | −0.0402703 | − | 1.96271i | ||||
\(316\) | 3.61387 | − | 6.25940i | 0.203296 | − | 0.352119i | ||||
\(317\) | 15.7618 | − | 1.37898i | 0.885270 | − | 0.0774510i | 0.364555 | − | 0.931182i | \(-0.381221\pi\) |
0.520715 | + | 0.853731i | \(0.325666\pi\) | |||||||
\(318\) | 4.25450 | + | 2.90891i | 0.238581 | + | 0.163124i | ||||
\(319\) | 4.92960 | + | 13.5440i | 0.276004 | + | 0.758316i | ||||
\(320\) | −2.22721 | − | 0.198842i | −0.124505 | − | 0.0111156i | ||||
\(321\) | 8.78998 | + | 10.2415i | 0.490609 | + | 0.571624i | ||||
\(322\) | −21.0095 | − | 21.0095i | −1.17081 | − | 1.17081i | ||||
\(323\) | −1.52116 | − | 1.39992i | −0.0846399 | − | 0.0778938i | ||||
\(324\) | 7.58593 | − | 4.84289i | 0.421441 | − | 0.269050i | ||||
\(325\) | −2.96385 | + | 4.20097i | −0.164405 | + | 0.233028i | ||||
\(326\) | −5.75068 | − | 6.85339i | −0.318501 | − | 0.379574i | ||||
\(327\) | 0.576583 | + | 5.83995i | 0.0318851 | + | 0.322950i | ||||
\(328\) | −6.14044 | + | 2.86333i | −0.339049 | + | 0.158101i | ||||
\(329\) | 31.8181 | + | 26.6986i | 1.75419 | + | 1.47194i | ||||
\(330\) | −5.44876 | + | 5.55184i | −0.299945 | + | 0.305618i | ||||
\(331\) | −14.1677 | − | 24.5392i | −0.778727 | − | 1.34879i | −0.932676 | − | 0.360716i | \(-0.882532\pi\) |
0.153949 | − | 0.988079i | \(-0.450801\pi\) | |||||||
\(332\) | −0.191549 | − | 0.273561i | −0.0105126 | − | 0.0150136i | ||||
\(333\) | 8.71106 | − | 0.958197i | 0.477363 | − | 0.0525089i | ||||
\(334\) | 16.1495 | − | 9.32390i | 0.883660 | − | 0.510181i | ||||
\(335\) | 15.2584 | − | 26.3202i | 0.833655 | − | 1.43803i | ||||
\(336\) | 1.46333 | − | 8.87637i | 0.0798313 | − | 0.484245i | ||||
\(337\) | 11.0162 | + | 23.6244i | 0.600092 | + | 1.28690i | 0.938297 | + | 0.345830i | \(0.112403\pi\) |
−0.338205 | + | 0.941073i | \(0.609820\pi\) | |||||||
\(338\) | 10.8238 | + | 5.04720i | 0.588735 | + | 0.274532i | ||||
\(339\) | 16.0381 | + | 5.63576i | 0.871069 | + | 0.306093i | ||||
\(340\) | 0.182299 | + | 1.04472i | 0.00988656 | + | 0.0566577i | ||||
\(341\) | 11.0616i | 0.599017i | ||||||||
\(342\) | 12.9278 | − | 1.96759i | 0.699057 | − | 0.106395i | ||||
\(343\) | 47.6606 | − | 47.6606i | 2.57343 | − | 2.57343i | ||||
\(344\) | 0.780792 | + | 4.42809i | 0.0420975 | + | 0.238747i | ||||
\(345\) | −19.9910 | + | 9.55099i | −1.07628 | + | 0.514208i | ||||
\(346\) | 19.3485 | − | 7.04228i | 1.04018 | − | 0.378595i | ||||
\(347\) | −4.23482 | + | 1.97473i | −0.227337 | + | 0.106009i | −0.532950 | − | 0.846147i | \(-0.678917\pi\) |
0.305613 | + | 0.952156i | \(0.401139\pi\) | |||||||
\(348\) | −10.1014 | + | 7.24217i | −0.541490 | + | 0.388221i | ||||
\(349\) | −5.46529 | − | 3.15538i | −0.292550 | − | 0.168904i | 0.346541 | − | 0.938035i | \(-0.387356\pi\) |
−0.639091 | + | 0.769131i | \(0.720689\pi\) | |||||||
\(350\) | −22.5364 | + | 12.9049i | −1.20462 | + | 0.689796i | ||||
\(351\) | 0.751374 | − | 5.28986i | 0.0401054 | − | 0.282352i | ||||
\(352\) | −1.64528 | + | 1.15204i | −0.0876936 | + | 0.0614037i | ||||
\(353\) | 1.67365 | − | 6.24613i | 0.0890792 | − | 0.332448i | −0.906976 | − | 0.421182i | \(-0.861615\pi\) |
0.996055 | + | 0.0887339i | \(0.0282821\pi\) | |||||||
\(354\) | 0.207301 | + | 18.5989i | 0.0110179 | + | 0.988519i | ||||
\(355\) | 1.72207 | + | 20.0944i | 0.0913982 | + | 1.06650i | ||||
\(356\) | −2.29190 | + | 6.29694i | −0.121470 | + | 0.333737i | ||||
\(357\) | −4.24598 | + | 0.419209i | −0.224721 | + | 0.0221869i | ||||
\(358\) | 0.840949 | − | 9.61209i | 0.0444455 | − | 0.508015i | ||||
\(359\) | −4.92643 | − | 27.9392i | −0.260007 | − | 1.47457i | −0.782885 | − | 0.622167i | \(-0.786253\pi\) |
0.522878 | − | 0.852408i | \(-0.324858\pi\) | |||||||
\(360\) | −5.87706 | − | 3.23422i | −0.309748 | − | 0.170459i | ||||
\(361\) | 18.3313 | + | 4.99649i | 0.964803 | + | 0.262973i | ||||
\(362\) | 1.12904 | − | 1.12904i | 0.0593408 | − | 0.0593408i | ||||
\(363\) | 0.917532 | − | 12.0303i | 0.0481580 | − | 0.631427i | ||||
\(364\) | −3.43293 | − | 4.09120i | −0.179934 | − | 0.214437i | ||||
\(365\) | −2.37176 | − | 6.55255i | −0.124144 | − | 0.342976i | ||||
\(366\) | −12.8309 | + | 2.41018i | −0.670682 | + | 0.125982i | ||||
\(367\) | −0.417665 | − | 4.77393i | −0.0218019 | − | 0.249197i | −0.999273 | − | 0.0381272i | \(-0.987861\pi\) |
0.977471 | − | 0.211070i | \(-0.0676948\pi\) | |||||||
\(368\) | −5.52557 | + | 1.48057i | −0.288040 | + | 0.0771802i | ||||
\(369\) | −20.3206 | + | 0.453039i | −1.05785 | + | 0.0235843i | ||||
\(370\) | −3.73710 | − | 5.35735i | −0.194282 | − | 0.278515i | ||||
\(371\) | 15.2203 | + | 2.68375i | 0.790199 | + | 0.139333i | ||||
\(372\) | −9.18587 | + | 2.57141i | −0.476265 | + | 0.133321i | ||||
\(373\) | −0.924667 | − | 3.45090i | −0.0478774 | − | 0.178681i | 0.937847 | − | 0.347050i | \(-0.112817\pi\) |
−0.985724 | + | 0.168369i | \(0.946150\pi\) | |||||||
\(374\) | 0.729719 | + | 0.612307i | 0.0377328 | + | 0.0316616i | ||||
\(375\) | 3.47356 | + | 19.0508i | 0.179374 | + | 0.983781i | ||||
\(376\) | 7.51466 | − | 2.73511i | 0.387539 | − | 0.141053i | ||||
\(377\) | −0.643103 | + | 7.35070i | −0.0331215 | + | 0.378580i | ||||
\(378\) | 14.7323 | − | 22.6129i | 0.757746 | − | 1.16308i | ||||
\(379\) | 5.56548i | 0.285880i | 0.989731 | + | 0.142940i | \(0.0456555\pi\) | ||||
−0.989731 | + | 0.142940i | \(0.954344\pi\) | |||||||
\(380\) | −5.90306 | − | 7.75590i | −0.302820 | − | 0.397869i | ||||
\(381\) | −12.1234 | − | 20.4680i | −0.621098 | − | 1.04861i | ||||
\(382\) | 3.00799 | − | 4.29585i | 0.153902 | − | 0.219795i | ||||
\(383\) | −7.74203 | − | 0.677340i | −0.395599 | − | 0.0346105i | −0.112379 | − | 0.993665i | \(-0.535847\pi\) |
−0.283220 | + | 0.959055i | \(0.591403\pi\) | |||||||
\(384\) | −1.33915 | − | 1.09848i | −0.0683384 | − | 0.0560568i | ||||
\(385\) | −8.01719 | + | 21.9059i | −0.408594 | + | 1.11643i | ||||
\(386\) | 14.8551 | − | 17.7037i | 0.756107 | − | 0.901093i | ||||
\(387\) | −3.19998 | + | 13.1041i | −0.162664 | + | 0.666121i | ||||
\(388\) | 4.86442 | + | 1.30342i | 0.246953 | + | 0.0661709i | ||||
\(389\) | −1.17116 | + | 6.64197i | −0.0593801 | + | 0.336761i | −0.999996 | − | 0.00271068i | \(-0.999137\pi\) |
0.940616 | + | 0.339472i | \(0.110248\pi\) | |||||||
\(390\) | −3.72931 | + | 1.39706i | −0.188841 | + | 0.0707431i | ||||
\(391\) | 1.35653 | + | 2.34958i | 0.0686028 | + | 0.118824i | ||||
\(392\) | −5.17045 | − | 19.2964i | −0.261147 | − | 0.974614i | ||||
\(393\) | 10.9569 | − | 7.85553i | 0.552702 | − | 0.396259i | ||||
\(394\) | −3.11137 | + | 8.54841i | −0.156748 | + | 0.430663i | ||||
\(395\) | −14.6353 | − | 6.85624i | −0.736383 | − | 0.344975i | ||||
\(396\) | −5.90920 | + | 1.17833i | −0.296949 | + | 0.0592132i | ||||
\(397\) | −11.4964 | + | 16.4185i | −0.576986 | + | 0.824022i | −0.996488 | − | 0.0837327i | \(-0.973316\pi\) |
0.419502 | + | 0.907754i | \(0.362205\pi\) | |||||||
\(398\) | 14.6886 | + | 14.6886i | 0.736274 | + | 0.736274i | ||||
\(399\) | 32.8814 | − | 21.3659i | 1.64613 | − | 1.06964i | ||||
\(400\) | −0.0177604 | + | 4.99997i | −0.000888022 | + | 0.249998i | ||||
\(401\) | −1.10198 | + | 0.194309i | −0.0550303 | + | 0.00970333i | −0.201096 | − | 0.979572i | \(-0.564450\pi\) |
0.146065 | + | 0.989275i | \(0.453339\pi\) | |||||||
\(402\) | 21.2455 | − | 10.1967i | 1.05963 | − | 0.508567i | ||||
\(403\) | −2.39326 | + | 5.13236i | −0.119217 | + | 0.255661i | ||||
\(404\) | 4.42945 | + | 1.61219i | 0.220373 | + | 0.0802093i | ||||
\(405\) | −12.2379 | − | 15.9761i | −0.608105 | − | 0.793857i | ||||
\(406\) | −18.6360 | + | 32.2785i | −0.924888 | + | 1.60195i | ||||
\(407\) | −5.66735 | − | 1.51856i | −0.280920 | − | 0.0752723i | ||||
\(408\) | −0.338846 | + | 0.748320i | −0.0167754 | + | 0.0370474i | ||||
\(409\) | −28.3757 | − | 5.00340i | −1.40309 | − | 0.247402i | −0.579677 | − | 0.814847i | \(-0.696821\pi\) |
−0.823412 | + | 0.567444i | \(0.807932\pi\) | |||||||
\(410\) | 7.55162 | + | 13.1336i | 0.372948 | + | 0.648622i | ||||
\(411\) | 0.141109 | + | 12.6602i | 0.00696041 | + | 0.624483i | ||||
\(412\) | 0.638274 | + | 7.29551i | 0.0314455 | + | 0.359424i | ||||
\(413\) | 23.5721 | + | 50.5506i | 1.15991 | + | 2.48743i | ||||
\(414\) | −16.9630 | − | 2.60262i | −0.833685 | − | 0.127912i | ||||
\(415\) | −0.572894 | + | 0.478983i | −0.0281222 | + | 0.0235124i | ||||
\(416\) | −1.01263 | + | 0.178554i | −0.0496483 | + | 0.00875433i | ||||
\(417\) | 4.84530 | − | 18.9241i | 0.237275 | − | 0.926716i | ||||
\(418\) | −8.54328 | − | 1.91330i | −0.417866 | − | 0.0935823i | ||||
\(419\) | −3.06380 | −0.149676 | −0.0748381 | − | 0.997196i | \(-0.523844\pi\) | ||||
−0.0748381 | + | 0.997196i | \(0.523844\pi\) | |||||||
\(420\) | −20.0551 | − | 1.56540i | −0.978587 | − | 0.0763836i | ||||
\(421\) | 17.0546 | − | 14.3105i | 0.831190 | − | 0.697451i | −0.124374 | − | 0.992235i | \(-0.539692\pi\) |
0.955564 | + | 0.294784i | \(0.0952477\pi\) | |||||||
\(422\) | 5.49848 | − | 11.7915i | 0.267662 | − | 0.574003i | ||||
\(423\) | 23.9402 | + | 1.55772i | 1.16401 | + | 0.0757389i | ||||
\(424\) | 1.91268 | − | 2.27944i | 0.0928878 | − | 0.110699i | ||||
\(425\) | 2.29272 | − | 0.605612i | 0.111213 | − | 0.0293765i | ||||
\(426\) | −7.65978 | + | 13.6153i | −0.371117 | + | 0.659665i | ||||
\(427\) | −32.0692 | + | 22.4551i | −1.55194 | + | 1.08668i | ||||
\(428\) | 6.38293 | − | 4.46938i | 0.308531 | − | 0.216036i | ||||
\(429\) | −1.75393 | + | 3.11763i | −0.0846804 | + | 0.150521i | ||||
\(430\) | 9.71627 | − | 2.58498i | 0.468560 | − | 0.124659i | ||||
\(431\) | 3.91974 | − | 4.67136i | 0.188807 | − | 0.225012i | −0.663334 | − | 0.748323i | \(-0.730859\pi\) |
0.852141 | + | 0.523312i | \(0.175304\pi\) | |||||||
\(432\) | −2.35219 | − | 4.63327i | −0.113170 | − | 0.222918i | ||||
\(433\) | −1.31668 | + | 2.82364i | −0.0632758 | + | 0.135695i | −0.935403 | − | 0.353585i | \(-0.884963\pi\) |
0.872127 | + | 0.489280i | \(0.162740\pi\) | |||||||
\(434\) | −21.9126 | + | 18.3868i | −1.05184 | + | 0.882595i | ||||
\(435\) | 18.0635 | + | 21.1221i | 0.866078 | + | 1.01273i | ||||
\(436\) | 3.38809 | 0.162260 | ||||||||
\(437\) | −21.0011 | − | 13.4428i | −1.00462 | − | 0.643057i | ||||
\(438\) | 1.33887 | − | 5.22916i | 0.0639735 | − | 0.249859i | ||||
\(439\) | 10.4965 | − | 1.85081i | 0.500970 | − | 0.0883345i | 0.0825476 | − | 0.996587i | \(-0.473694\pi\) |
0.418422 | + | 0.908253i | \(0.362583\pi\) | |||||||
\(440\) | 2.88076 | + | 3.44556i | 0.137335 | + | 0.164261i | ||||
\(441\) | 9.08885 | − | 59.2380i | 0.432802 | − | 2.82086i | ||||
\(442\) | 0.206098 | + | 0.441979i | 0.00980310 | + | 0.0210228i | ||||
\(443\) | 0.323670 | + | 3.69956i | 0.0153780 | + | 0.175772i | 0.999999 | + | 0.00106988i | \(0.000340555\pi\) |
−0.984621 | + | 0.174702i | \(0.944104\pi\) | |||||||
\(444\) | −0.0563910 | − | 5.05936i | −0.00267620 | − | 0.240106i | ||||
\(445\) | 14.4666 | + | 3.90385i | 0.685781 | + | 0.185060i | ||||
\(446\) | 25.4384 | + | 4.48548i | 1.20454 | + | 0.212394i | ||||
\(447\) | 2.58544 | − | 5.70978i | 0.122287 | − | 0.270063i | ||||
\(448\) | −5.01697 | − | 1.34429i | −0.237029 | − | 0.0635118i | ||||
\(449\) | −10.1794 | + | 17.6313i | −0.480398 | + | 0.832073i | −0.999747 | − | 0.0224886i | \(-0.992841\pi\) |
0.519349 | + | 0.854562i | \(0.326174\pi\) | |||||||
\(450\) | −6.08343 | + | 13.7110i | −0.286776 | + | 0.646343i | ||||
\(451\) | 12.7875 | + | 4.65426i | 0.602138 | + | 0.219160i | ||||
\(452\) | 4.14785 | − | 8.89509i | 0.195098 | − | 0.418390i | ||||
\(453\) | −4.00965 | + | 1.92443i | −0.188390 | + | 0.0904174i | ||||
\(454\) | −19.8840 | + | 3.50609i | −0.933204 | + | 0.164549i | ||||
\(455\) | −8.45935 | + | 8.42935i | −0.396580 | + | 0.395174i | ||||
\(456\) | −0.397142 | − | 7.53938i | −0.0185979 | − | 0.353064i | ||||
\(457\) | 3.03439 | + | 3.03439i | 0.141943 | + | 0.141943i | 0.774507 | − | 0.632565i | \(-0.217998\pi\) |
−0.632565 | + | 0.774507i | \(0.717998\pi\) | |||||||
\(458\) | 12.3655 | − | 17.6598i | 0.577802 | − | 0.825187i | ||||
\(459\) | −1.83382 | + | 1.64630i | −0.0855953 | + | 0.0768427i | ||||
\(460\) | 4.35357 | + | 12.0277i | 0.202986 | + | 0.560797i | ||||
\(461\) | −6.91142 | + | 18.9890i | −0.321897 | + | 0.884405i | 0.668195 | + | 0.743986i | \(0.267067\pi\) |
−0.990092 | + | 0.140419i | \(0.955155\pi\) | |||||||
\(462\) | −14.6848 | + | 10.5282i | −0.683198 | + | 0.489818i | ||||
\(463\) | 4.56304 | + | 17.0295i | 0.212063 | + | 0.791428i | 0.987180 | + | 0.159611i | \(0.0510240\pi\) |
−0.775117 | + | 0.631817i | \(0.782309\pi\) | |||||||
\(464\) | 3.58802 | + | 6.21463i | 0.166570 | + | 0.288507i | ||||
\(465\) | 7.48270 | + | 19.9742i | 0.347002 | + | 0.926283i | ||||
\(466\) | −0.527475 | + | 2.99146i | −0.0244348 | + | 0.138577i | ||||
\(467\) | −31.3342 | − | 8.39598i | −1.44998 | − | 0.388520i | −0.553960 | − | 0.832543i | \(-0.686884\pi\) |
−0.896015 | + | 0.444024i | \(0.853551\pi\) | |||||||
\(468\) | −2.99670 | − | 0.731782i | −0.138523 | − | 0.0338266i | ||||
\(469\) | 45.4240 | − | 54.1342i | 2.09748 | − | 2.49968i | ||||
\(470\) | −7.52833 | − | 16.2197i | −0.347256 | − | 0.748159i | ||||
\(471\) | 25.1345 | + | 20.6174i | 1.15814 | + | 0.949998i | ||||
\(472\) | 10.6979 | + | 0.935942i | 0.492409 | + | 0.0430802i | ||||
\(473\) | 5.18002 | − | 7.39783i | 0.238177 | − | 0.340153i | ||||
\(474\) | −6.37984 | − | 10.7712i | −0.293036 | − | 0.494736i | ||||
\(475\) | −16.1523 | + | 14.6323i | −0.741119 | + | 0.671374i | ||||
\(476\) | 2.46334i | 0.112907i | ||||||||
\(477\) | 8.00433 | − | 3.95202i | 0.366493 | − | 0.180950i | ||||
\(478\) | 1.29784 | − | 14.8344i | 0.0593620 | − | 0.678511i | ||||
\(479\) | −34.6941 | + | 12.6276i | −1.58522 | + | 0.576971i | −0.976330 | − | 0.216287i | \(-0.930605\pi\) |
−0.608886 | + | 0.793258i | \(0.708383\pi\) | |||||||
\(480\) | −2.19163 | + | 3.19324i | −0.100034 | + | 0.145751i | ||||
\(481\) | −2.30099 | − | 1.93076i | −0.104916 | − | 0.0880351i | ||||
\(482\) | −2.43662 | − | 9.09360i | −0.110985 | − | 0.414202i | ||||
\(483\) | −49.5575 | + | 13.8727i | −2.25494 | + | 0.631229i | ||||
\(484\) | −6.86005 | − | 1.20961i | −0.311820 | − | 0.0549823i | ||||
\(485\) | 1.97512 | − | 11.0863i | 0.0896857 | − | 0.503403i | ||||
\(486\) | −0.868250 | − | 15.5643i | −0.0393846 | − | 0.706009i | ||||
\(487\) | −29.3181 | + | 7.85577i | −1.32853 | + | 0.355979i | −0.852167 | − | 0.523270i | \(-0.824712\pi\) |
−0.476364 | + | 0.879248i | \(0.658045\pi\) | |||||||
\(488\) | 0.656935 | + | 7.50880i | 0.0297380 | + | 0.339907i | ||||
\(489\) | −15.2294 | + | 2.86072i | −0.688696 | + | 0.129366i | ||||
\(490\) | −42.0032 | + | 15.2035i | −1.89751 | + | 0.686824i | ||||
\(491\) | 2.43882 | + | 2.90648i | 0.110063 | + | 0.131168i | 0.818263 | − | 0.574844i | \(-0.194937\pi\) |
−0.708201 | + | 0.706011i | \(0.750493\pi\) | |||||||
\(492\) | −0.892421 | + | 11.7011i | −0.0402334 | + | 0.527524i | ||||
\(493\) | 2.40656 | − | 2.40656i | 0.108386 | − | 0.108386i | ||||
\(494\) | −3.54997 | − | 2.73614i | −0.159721 | − | 0.123105i | ||||
\(495\) | 3.75344 | + | 12.9401i | 0.168705 | + | 0.581616i | ||||
\(496\) | 0.956339 | + | 5.42367i | 0.0429409 | + | 0.243530i | ||||
\(497\) | −4.08293 | + | 46.6681i | −0.183144 | + | 2.09335i | ||||
\(498\) | −0.575630 | + | 0.0568324i | −0.0257946 | + | 0.00254672i | ||||
\(499\) | −3.62735 | + | 9.96606i | −0.162382 | + | 0.446142i | −0.994023 | − | 0.109172i | \(-0.965180\pi\) |
0.831640 | + | 0.555315i | \(0.187402\pi\) | |||||||
\(500\) | 11.1428 | − | 0.915074i | 0.498322 | − | 0.0409233i | ||||
\(501\) | −0.359978 | − | 32.2969i | −0.0160826 | − | 1.44292i | ||||
\(502\) | −6.39720 | + | 23.8747i | −0.285521 | + | 1.06558i | ||||
\(503\) | 0.572012 | − | 0.400527i | 0.0255048 | − | 0.0178586i | −0.560755 | − | 0.827982i | \(-0.689489\pi\) |
0.586259 | + | 0.810123i | \(0.300600\pi\) | |||||||
\(504\) | −12.1567 | − | 9.74727i | −0.541501 | − | 0.434178i | ||||
\(505\) | 2.74608 | − | 10.1762i | 0.122199 | − | 0.452834i | ||||
\(506\) | 9.95036 | + | 5.74485i | 0.442348 | + | 0.255390i | ||||
\(507\) | 16.8112 | − | 12.0527i | 0.746610 | − | 0.535281i | ||||
\(508\) | −12.4477 | + | 5.80448i | −0.552279 | + | 0.257532i | ||||
\(509\) | −14.6234 | + | 5.32249i | −0.648172 | + | 0.235915i | −0.645121 | − | 0.764080i | \(-0.723193\pi\) |
−0.00305028 | + | 0.999995i | \(0.500971\pi\) | |||||||
\(510\) | 1.73188 | + | 0.612038i | 0.0766889 | + | 0.0271015i | ||||
\(511\) | −2.81078 | − | 15.9407i | −0.124342 | − | 0.705177i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 8.00881 | − | 21.1863i | 0.353598 | − | 0.935398i | ||||
\(514\) | 10.0805i | 0.444631i | ||||||||
\(515\) | 16.1318 | − | 2.81494i | 0.710853 | − | 0.124041i | ||||
\(516\) | 7.34755 | + | 2.58192i | 0.323458 | + | 0.113663i | ||||
\(517\) | −14.5571 | − | 6.78807i | −0.640219 | − | 0.298539i | ||||
\(518\) | −6.41220 | − | 13.7510i | −0.281736 | − | 0.604185i | ||||
\(519\) | 5.80105 | − | 35.1884i | 0.254638 | − | 1.54460i | ||||
\(520\) | 0.591142 | + | 2.22195i | 0.0259233 | + | 0.0974389i | ||||
\(521\) | 7.53899 | − | 4.35264i | 0.330289 | − | 0.190693i | −0.325680 | − | 0.945480i | \(-0.605593\pi\) |
0.655970 | + | 0.754787i | \(0.272260\pi\) | |||||||
\(522\) | 2.35385 | + | 21.3991i | 0.103025 | + | 0.936611i | ||||
\(523\) | 10.3412 | + | 14.7688i | 0.452190 | + | 0.645795i | 0.978921 | − | 0.204237i | \(-0.0654714\pi\) |
−0.526731 | + | 0.850032i | \(0.676583\pi\) | |||||||
\(524\) | −3.89190 | − | 6.74097i | −0.170019 | − | 0.294481i | ||||
\(525\) | 0.341551 | + | 44.9796i | 0.0149065 | + | 1.96307i | ||||
\(526\) | 22.1375 | + | 18.5756i | 0.965240 | + | 0.809933i | ||||
\(527\) | 2.36725 | − | 1.10387i | 0.103119 | − | 0.0480852i | ||||
\(528\) | 0.341808 | + | 3.46201i | 0.0148753 | + | 0.150665i | ||||
\(529\) | 6.25051 | + | 7.44906i | 0.271761 | + | 0.323872i | ||||
\(530\) | −5.44356 | − | 3.82605i | −0.236453 | − | 0.166193i | ||||
\(531\) | 28.2522 | + | 15.4822i | 1.22604 | + | 0.671872i | ||||
\(532\) | −10.4107 | − | 20.1043i | −0.451361 | − | 0.871631i | ||||
\(533\) | 4.92616 | + | 4.92616i | 0.213376 | + | 0.213376i | ||||
\(534\) | 7.55920 | + | 8.80746i | 0.327119 | + | 0.381136i | ||||
\(535\) | −11.1760 | − | 13.3672i | −0.483182 | − | 0.577915i | ||||
\(536\) | −4.65342 | − | 12.7852i | −0.200997 | − | 0.552235i | ||||
\(537\) | −13.7958 | − | 9.43257i | −0.595334 | − | 0.407045i | ||||
\(538\) | −21.3028 | + | 1.86376i | −0.918430 | + | 0.0803522i | ||||
\(539\) | −20.0621 | + | 34.7486i | −0.864136 | + | 1.49673i | ||||
\(540\) | −9.87336 | + | 6.12509i | −0.424882 | + | 0.263582i | ||||
\(541\) | −0.860461 | + | 4.87992i | −0.0369941 | + | 0.209804i | −0.997702 | − | 0.0677582i | \(-0.978415\pi\) |
0.960708 | + | 0.277562i | \(0.0895265\pi\) | |||||||
\(542\) | 12.9572 | + | 18.5048i | 0.556559 | + | 0.794848i | ||||
\(543\) | −0.745508 | − | 2.66318i | −0.0319928 | − | 0.114288i | ||||
\(544\) | 0.410731 | + | 0.237136i | 0.0176099 | + | 0.0101671i | ||||
\(545\) | −0.646886 | − | 7.54833i | −0.0277096 | − | 0.323335i | ||||
\(546\) | −9.09134 | + | 1.70773i | −0.389073 | + | 0.0730843i | ||||
\(547\) | 1.15796 | + | 0.539967i | 0.0495109 | + | 0.0230873i | 0.447216 | − | 0.894426i | \(-0.352416\pi\) |
−0.397705 | + | 0.917513i | \(0.630193\pi\) | |||||||
\(548\) | 7.28202 | + | 0.637094i | 0.311073 | + | 0.0272153i | ||||
\(549\) | −7.25838 | + | 21.4158i | −0.309780 | + | 0.914006i | ||||
\(550\) | 7.12635 | − | 7.07590i | 0.303868 | − | 0.301717i | ||||
\(551\) | −9.47013 | + | 29.8116i | −0.403441 | + | 1.27002i | ||||
\(552\) | −2.45760 | + | 9.59856i | −0.104603 | + | 0.408542i | ||||
\(553\) | −30.7513 | − | 21.5323i | −1.30768 | − | 0.915648i | ||||
\(554\) | 15.7713 | − | 13.2337i | 0.670059 | − | 0.562246i | ||||
\(555\) | −11.2610 | + | 1.09161i | −0.478002 | + | 0.0463365i | ||||
\(556\) | −10.5981 | − | 3.85739i | −0.449460 | − | 0.163590i | ||||
\(557\) | 41.8828 | − | 3.66427i | 1.77463 | − | 0.155260i | 0.847695 | − | 0.530484i | \(-0.177990\pi\) |
0.926934 | + | 0.375224i | \(0.122434\pi\) | |||||||
\(558\) | −3.91944 | + | 16.0504i | −0.165923 | + | 0.679467i | ||||
\(559\) | 4.00401 | − | 2.31172i | 0.169352 | − | 0.0977752i | ||||
\(560\) | −2.03706 | + | 11.4340i | −0.0860816 | + | 0.483174i | ||||
\(561\) | 1.54403 | − | 0.581549i | 0.0651890 | − | 0.0245530i | ||||
\(562\) | −1.54081 | + | 5.75040i | −0.0649953 | + | 0.242566i | ||||
\(563\) | −36.4294 | + | 9.76122i | −1.53532 | + | 0.411387i | −0.924749 | − | 0.380578i | \(-0.875725\pi\) |
−0.610567 | + | 0.791965i | \(0.709058\pi\) | |||||||
\(564\) | 2.25304 | − | 13.6666i | 0.0948701 | − | 0.575469i | ||||
\(565\) | −20.6093 | − | 7.54266i | −0.867041 | − | 0.317322i | ||||
\(566\) | 3.43256 | + | 9.43087i | 0.144281 | + | 0.396409i | ||||
\(567\) | −21.6240 | − | 41.4433i | −0.908122 | − | 1.74045i | ||||
\(568\) | 7.38827 | + | 5.17333i | 0.310005 | + | 0.217068i | ||||
\(569\) | −15.1286 | −0.634222 | −0.317111 | − | 0.948388i | \(-0.602713\pi\) | ||||
−0.317111 | + | 0.948388i | \(0.602713\pi\) | |||||||
\(570\) | −16.7212 | + | 2.32428i | −0.700373 | + | 0.0973535i | ||||
\(571\) | −44.7125 | −1.87116 | −0.935579 | − | 0.353116i | \(-0.885122\pi\) | ||||
−0.935579 | + | 0.353116i | \(0.885122\pi\) | |||||||
\(572\) | 1.69176 | + | 1.18458i | 0.0707360 | + | 0.0495299i | ||||
\(573\) | −3.93029 | − | 8.18900i | −0.164190 | − | 0.342100i | ||||
\(574\) | 12.0357 | + | 33.0679i | 0.502362 | + | 1.38023i | ||||
\(575\) | 25.9654 | − | 11.9958i | 1.08283 | − | 0.500258i | ||||
\(576\) | −2.79551 | + | 1.08864i | −0.116479 | + | 0.0453600i | ||||
\(577\) | −11.1307 | + | 2.98245i | −0.463375 | + | 0.124161i | −0.482951 | − | 0.875647i | \(-0.660435\pi\) |
0.0195757 | + | 0.999808i | \(0.493768\pi\) | |||||||
\(578\) | −4.34171 | + | 16.2035i | −0.180591 | + | 0.673976i | ||||
\(579\) | −14.1089 | − | 37.4596i | −0.586348 | − | 1.55677i | ||||
\(580\) | 13.1605 | − | 9.18031i | 0.546461 | − | 0.381192i | ||||
\(581\) | −1.50216 | + | 0.867274i | −0.0623202 | + | 0.0359806i | ||||
\(582\) | 6.09871 | − | 6.23619i | 0.252800 | − | 0.258498i | ||||
\(583\) | −5.95379 | + | 0.520889i | −0.246581 | + | 0.0215730i | ||||
\(584\) | −2.92850 | − | 1.06589i | −0.121182 | − | 0.0441067i | ||||
\(585\) | −1.05818 | + | 6.81607i | −0.0437503 | + | 0.281810i | ||||
\(586\) | 22.9608 | − | 19.2664i | 0.948503 | − | 0.795889i | ||||
\(587\) | 9.75130 | + | 6.82793i | 0.402479 | + | 0.281819i | 0.757238 | − | 0.653139i | \(-0.226548\pi\) |
−0.354759 | + | 0.934958i | \(0.615437\pi\) | |||||||
\(588\) | −33.5200 | − | 8.58242i | −1.38234 | − | 0.353933i | ||||
\(589\) | −14.6548 | + | 19.0137i | −0.603842 | + | 0.783445i | ||||
\(590\) | 0.0426474 | − | 24.0125i | 0.00175577 | − | 0.988579i | ||||
\(591\) | 10.2620 | + | 11.9566i | 0.422122 | + | 0.491827i | ||||
\(592\) | −2.91009 | − | 0.254600i | −0.119604 | − | 0.0104640i | ||||
\(593\) | −10.6864 | − | 4.98316i | −0.438839 | − | 0.204634i | 0.190626 | − | 0.981663i | \(-0.438948\pi\) |
−0.629465 | + | 0.777029i | \(0.716726\pi\) | |||||||
\(594\) | −3.23966 | + | 9.92099i | −0.132925 | + | 0.407063i | ||||
\(595\) | 5.48808 | − | 0.470324i | 0.224989 | − | 0.0192814i | ||||
\(596\) | −3.13393 | − | 1.80938i | −0.128371 | − | 0.0741149i | ||||
\(597\) | 34.6477 | − | 9.69898i | 1.41804 | − | 0.396953i | ||||
\(598\) | 3.37384 | + | 4.81834i | 0.137967 | + | 0.197037i | ||||
\(599\) | −3.74830 | + | 21.2577i | −0.153151 | + | 0.868564i | 0.807305 | + | 0.590134i | \(0.200925\pi\) |
−0.960457 | + | 0.278430i | \(0.910186\pi\) | |||||||
\(600\) | 7.53266 | + | 4.27305i | 0.307520 | + | 0.174447i | ||||
\(601\) | 8.57455 | − | 14.8516i | 0.349763 | − | 0.605808i | −0.636444 | − | 0.771323i | \(-0.719595\pi\) |
0.986207 | + | 0.165515i | \(0.0529287\pi\) | |||||||
\(602\) | 23.2652 | − | 2.03544i | 0.948218 | − | 0.0829584i | ||||
\(603\) | 2.65025 | − | 40.7309i | 0.107926 | − | 1.65869i | ||||
\(604\) | 0.878238 | + | 2.41294i | 0.0357350 | + | 0.0981811i | ||||
\(605\) | −1.38511 | + | 15.5145i | −0.0563127 | + | 0.630752i | ||||
\(606\) | 6.19542 | − | 5.31736i | 0.251672 | − | 0.216003i | ||||
\(607\) | 7.56959 | + | 7.56959i | 0.307240 | + | 0.307240i | 0.843838 | − | 0.536598i | \(-0.180291\pi\) |
−0.536598 | + | 0.843838i | \(0.680291\pi\) | |||||||
\(608\) | −4.35433 | − | 0.199502i | −0.176591 | − | 0.00809088i | ||||
\(609\) | 32.8996 | + | 55.5447i | 1.33316 | + | 2.25079i | ||||
\(610\) | 16.6034 | − | 2.89724i | 0.672253 | − | 0.117306i | ||||
\(611\) | −5.28555 | − | 6.29908i | −0.213831 | − | 0.254833i | ||||
\(612\) | 0.841867 | + | 1.14702i | 0.0340305 | + | 0.0463656i | ||||
\(613\) | 9.01082 | − | 4.20181i | 0.363943 | − | 0.169710i | −0.232040 | − | 0.972706i | \(-0.574540\pi\) |
0.595984 | + | 0.802997i | \(0.296762\pi\) | |||||||
\(614\) | −14.2512 | − | 11.9582i | −0.575132 | − | 0.482593i | ||||
\(615\) | 26.2392 | − | 0.245852i | 1.05807 | − | 0.00991370i | ||||
\(616\) | 5.21606 | + | 9.03447i | 0.210161 | + | 0.364009i | ||||
\(617\) | −20.7698 | − | 29.6624i | −0.836161 | − | 1.19416i | −0.978887 | − | 0.204400i | \(-0.934476\pi\) |
0.142726 | − | 0.989762i | \(-0.454413\pi\) | |||||||
\(618\) | 11.5551 | + | 5.23223i | 0.464813 | + | 0.210471i | ||||
\(619\) | 2.20645 | − | 1.27389i | 0.0886846 | − | 0.0512021i | −0.455002 | − | 0.890490i | \(-0.650361\pi\) |
0.543686 | + | 0.839288i | \(0.317028\pi\) | |||||||
\(620\) | 11.9008 | − | 3.16617i | 0.477948 | − | 0.127156i | ||||
\(621\) | −18.3347 | + | 23.3963i | −0.735746 | + | 0.938863i | ||||
\(622\) | −13.7888 | − | 29.5701i | −0.552879 | − | 1.18565i | ||||
\(623\) | 31.5440 | + | 14.7092i | 1.26378 | + | 0.589312i | ||||
\(624\) | −0.590442 | + | 1.68026i | −0.0236366 | + | 0.0672644i | ||||
\(625\) | −4.16619 | − | 24.6504i | −0.166648 | − | 0.986017i | ||||
\(626\) | − | 16.6514i | − | 0.665524i | ||||||
\(627\) | −10.1436 | + | 11.2717i | −0.405098 | + | 0.450149i | ||||
\(628\) | 13.2716 | − | 13.2716i | 0.529596 | − | 0.529596i | ||||
\(629\) | 0.240579 | + | 1.36439i | 0.00959253 | + | 0.0544019i | ||||
\(630\) | −19.3949 | + | 28.9449i | −0.772711 | + | 1.15319i | ||||
\(631\) | 33.4801 | − | 12.1857i | 1.33282 | − | 0.485107i | 0.425276 | − | 0.905064i | \(-0.360177\pi\) |
0.907544 | + | 0.419957i | \(0.137955\pi\) | |||||||
\(632\) | −6.55055 | + | 3.05457i | −0.260567 | + | 0.121504i | ||||
\(633\) | −13.1304 | − | 18.3143i | −0.521887 | − | 0.727927i | ||||
\(634\) | −13.7022 | − | 7.91099i | −0.544185 | − | 0.314186i | ||||
\(635\) | 15.3084 | + | 26.6241i | 0.607497 | + | 1.05654i | ||||
\(636\) | −1.81660 | − | 4.82312i | −0.0720329 | − | 0.191249i | ||||
\(637\) | −16.8266 | + | 11.7821i | −0.666693 | + | 0.466824i | ||||
\(638\) | 3.73040 | − | 13.9221i | 0.147688 | − | 0.551180i | ||||
\(639\) | 14.0481 | + | 23.1258i | 0.555733 | + | 0.914841i | ||||
\(640\) | 1.71037 | + | 1.44036i | 0.0676084 | + | 0.0569351i | ||||
\(641\) | 5.52167 | − | 15.1707i | 0.218093 | − | 0.599205i | −0.781605 | − | 0.623773i | \(-0.785599\pi\) |
0.999698 | + | 0.0245681i | \(0.00782106\pi\) | |||||||
\(642\) | −1.32606 | − | 13.4311i | −0.0523354 | − | 0.530081i | ||||
\(643\) | −0.232278 | + | 2.65494i | −0.00916013 | + | 0.104701i | −0.999398 | − | 0.0346849i | \(-0.988957\pi\) |
0.990238 | + | 0.139386i | \(0.0445128\pi\) | |||||||
\(644\) | 5.15942 | + | 29.2605i | 0.203310 | + | 1.15303i | ||||
\(645\) | 4.34940 | − | 16.8626i | 0.171258 | − | 0.663964i | ||||
\(646\) | 0.443102 | + | 2.01925i | 0.0174336 | + | 0.0794465i | ||||
\(647\) | 29.0061 | − | 29.0061i | 1.14035 | − | 1.14035i | 0.151962 | − | 0.988386i | \(-0.451441\pi\) |
0.988386 | − | 0.151962i | \(-0.0485591\pi\) | |||||||
\(648\) | −8.99180 | − | 0.384046i | −0.353231 | − | 0.0150868i | ||||
\(649\) | −13.8642 | − | 16.5227i | −0.544218 | − | 0.648574i | ||||
\(650\) | 4.83742 | − | 1.74124i | 0.189739 | − | 0.0682971i | ||||
\(651\) | 9.14666 | + | 48.6934i | 0.358486 | + | 1.90844i | ||||
\(652\) | 0.779736 | + | 8.91242i | 0.0305368 | + | 0.349037i | ||||
\(653\) | 39.3131 | − | 10.5339i | 1.53844 | − | 0.412224i | 0.612679 | − | 0.790332i | \(-0.290092\pi\) |
0.925761 | + | 0.378108i | \(0.123425\pi\) | |||||||
\(654\) | 2.87735 | − | 5.11452i | 0.112513 | − | 0.199994i | ||||
\(655\) | −14.2751 | + | 9.95783i | −0.557776 | + | 0.389085i | ||||
\(656\) | 6.67229 | + | 1.17651i | 0.260509 | + | 0.0459348i | ||||
\(657\) | −6.75669 | − | 6.46198i | −0.263603 | − | 0.252106i | ||||
\(658\) | −10.7502 | − | 40.1203i | −0.419087 | − | 1.56405i | ||||
\(659\) | −19.0031 | − | 15.9455i | −0.740255 | − | 0.621147i | 0.192651 | − | 0.981267i | \(-0.438291\pi\) |
−0.932906 | + | 0.360120i | \(0.882736\pi\) | |||||||
\(660\) | 7.64777 | − | 1.42251i | 0.297689 | − | 0.0553713i | ||||
\(661\) | 23.1942 | − | 8.44200i | 0.902150 | − | 0.328356i | 0.151036 | − | 0.988528i | \(-0.451739\pi\) |
0.751114 | + | 0.660172i | \(0.229517\pi\) | |||||||
\(662\) | −2.46959 | + | 28.2276i | −0.0959834 | + | 1.09710i | ||||
\(663\) | 0.842223 | + | 0.0642350i | 0.0327092 | + | 0.00249468i | ||||
\(664\) | 0.333956i | 0.0129600i | ||||||||
\(665\) | −42.8026 | + | 27.0325i | −1.65981 | + | 1.04828i | ||||
\(666\) | −7.68529 | − | 4.21155i | −0.297799 | − | 0.163194i | ||||
\(667\) | 23.5456 | − | 33.6266i | 0.911689 | − | 1.30203i | ||||
\(668\) | −18.5768 | − | 1.62526i | −0.718760 | − | 0.0628833i | ||||
\(669\) | 28.3748 | − | 34.5915i | 1.09703 | − | 1.33738i | ||||
\(670\) | −27.5956 | + | 12.8084i | −1.06611 | + | 0.494832i | ||||
\(671\) | 9.73125 | − | 11.5972i | 0.375671 | − | 0.447707i | ||||
\(672\) | −6.28997 | + | 6.43176i | −0.242641 | + | 0.248111i | ||||
\(673\) | 10.3782 | + | 2.78083i | 0.400050 | + | 0.107193i | 0.453234 | − | 0.891392i | \(-0.350270\pi\) |
−0.0531840 | + | 0.998585i | \(0.516937\pi\) | |||||||
\(674\) | 4.52642 | − | 25.6706i | 0.174351 | − | 0.988795i | ||||
\(675\) | 15.5312 | + | 20.8274i | 0.597796 | + | 0.801648i | ||||
\(676\) | −5.97135 | − | 10.3427i | −0.229667 | − | 0.397795i | ||||
\(677\) | 6.55482 | + | 24.4629i | 0.251922 | + | 0.940186i | 0.969777 | + | 0.243993i | \(0.0784574\pi\) |
−0.717855 | + | 0.696193i | \(0.754876\pi\) | |||||||
\(678\) | −9.90509 | − | 13.8156i | −0.380403 | − | 0.530585i | ||||
\(679\) | 8.94615 | − | 24.5793i | 0.343322 | − | 0.943268i | ||||
\(680\) | 0.449894 | − | 0.960344i | 0.0172526 | − | 0.0368275i | ||||
\(681\) | −11.5939 | + | 32.9937i | −0.444281 | + | 1.26432i | ||||
\(682\) | 6.34465 | − | 9.06110i | 0.242949 | − | 0.346967i | ||||
\(683\) | −20.1067 | − | 20.1067i | −0.769363 | − | 0.769363i | 0.208631 | − | 0.977994i | \(-0.433099\pi\) |
−0.977994 | + | 0.208631i | \(0.933099\pi\) | |||||||
\(684\) | −11.7184 | − | 5.80334i | −0.448065 | − | 0.221896i | ||||
\(685\) | 0.0290300 | − | 16.3453i | 0.00110918 | − | 0.624521i | ||||
\(686\) | −66.3782 | + | 11.7043i | −2.53433 | + | 0.446871i | ||||
\(687\) | −16.1570 | − | 33.6641i | −0.616428 | − | 1.28436i | ||||
\(688\) | 1.90026 | − | 4.07512i | 0.0724468 | − | 0.155363i | ||||
\(689\) | −2.87514 | − | 1.04647i | −0.109534 | − | 0.0398672i | ||||
\(690\) | 21.8539 | + | 3.64265i | 0.831963 | + | 0.138673i | ||||
\(691\) | −17.9155 | + | 31.0306i | −0.681538 | + | 1.18046i | 0.292974 | + | 0.956120i | \(0.405355\pi\) |
−0.974512 | + | 0.224338i | \(0.927978\pi\) | |||||||
\(692\) | −19.8886 | − | 5.32915i | −0.756053 | − | 0.202584i | ||||
\(693\) | 3.42189 | + | 31.1087i | 0.129987 | + | 1.18172i | ||||
\(694\) | 4.60162 | + | 0.811390i | 0.174675 | + | 0.0307999i | ||||
\(695\) | −6.57040 | + | 24.3480i | −0.249230 | + | 0.923573i | ||||
\(696\) | 12.4285 | − | 0.138527i | 0.471101 | − | 0.00525083i | ||||
\(697\) | −0.280057 | − | 3.20107i | −0.0106079 | − | 0.121249i | ||||
\(698\) | 2.66705 | + | 5.71950i | 0.100949 | + | 0.216486i | ||||
\(699\) | 4.06782 | + | 3.33676i | 0.153859 | + | 0.126208i | ||||
\(700\) | 25.8627 | + | 2.35529i | 0.977518 | + | 0.0890217i | ||||
\(701\) | 38.0094 | − | 6.70208i | 1.43559 | − | 0.253134i | 0.598908 | − | 0.800818i | \(-0.295601\pi\) |
0.836685 | + | 0.547684i | \(0.184490\pi\) | |||||||
\(702\) | −3.64963 | + | 3.90223i | −0.137746 | + | 0.147280i | ||||
\(703\) | −7.72974 | − | 10.1186i | −0.291533 | − | 0.381630i | ||||
\(704\) | 2.00851 | 0.0756987 | ||||||||
\(705\) | −30.8781 | − | 2.41019i | −1.16294 | − | 0.0907729i | ||||
\(706\) | −4.95360 | + | 4.15657i | −0.186431 | + | 0.156434i | ||||
\(707\) | 10.3469 | − | 22.1890i | 0.389135 | − | 0.834502i | ||||
\(708\) | 10.4981 | − | 15.3542i | 0.394542 | − | 0.577047i | ||||
\(709\) | −1.25167 | + | 1.49168i | −0.0470075 | + | 0.0560213i | −0.789036 | − | 0.614347i | \(-0.789419\pi\) |
0.742028 | + | 0.670368i | \(0.233864\pi\) | |||||||
\(710\) | 10.1150 | − | 17.4481i | 0.379610 | − | 0.654815i | ||||
\(711\) | −21.6778 | + | 0.483297i | −0.812982 | + | 0.0181250i | ||||
\(712\) | 5.48919 | − | 3.84357i | 0.205716 | − | 0.144044i | ||||
\(713\) | 25.8071 | − | 18.0703i | 0.966485 | − | 0.676740i | ||||
\(714\) | 3.71855 | + | 2.09200i | 0.139163 | + | 0.0782911i | ||||
\(715\) | 2.31613 | − | 3.99525i | 0.0866183 | − | 0.149414i | ||||
\(716\) | −6.20213 | + | 7.39142i | −0.231785 | + | 0.276230i | ||||
\(717\) | −21.2912 | − | 14.5574i | −0.795136 | − | 0.543655i | ||||
\(718\) | −11.9898 | + | 25.7121i | −0.447454 | + | 0.959568i | ||||
\(719\) | 11.7772 | − | 9.88221i | 0.439214 | − | 0.368544i | −0.396201 | − | 0.918164i | \(-0.629672\pi\) |
0.835415 | + | 0.549620i | \(0.185227\pi\) | |||||||
\(720\) | 2.95913 | + | 6.02026i | 0.110280 | + | 0.224362i | ||||
\(721\) | 38.0372 | 1.41658 | ||||||||
\(722\) | −12.1502 | − | 14.6073i | −0.452184 | − | 0.543626i | ||||
\(723\) | −15.7966 | − | 4.04455i | −0.587483 | − | 0.150418i | ||||
\(724\) | −1.57244 | + | 0.277264i | −0.0584393 | + | 0.0103044i | ||||
\(725\) | −22.9656 | − | 27.5676i | −0.852920 | − | 1.02383i | ||||
\(726\) | −7.65190 | + | 9.32838i | −0.283989 | + | 0.346209i | ||||
\(727\) | 0.966892 | + | 2.07351i | 0.0358600 | + | 0.0769021i | 0.923422 | − | 0.383787i | \(-0.125380\pi\) |
−0.887562 | + | 0.460689i | \(0.847602\pi\) | |||||||
\(728\) | 0.465471 | + | 5.32036i | 0.0172515 | + | 0.197186i | ||||
\(729\) | −24.2325 | − | 11.9073i | −0.897501 | − | 0.441012i | ||||
\(730\) | −1.81555 | + | 6.72792i | −0.0671967 | + | 0.249011i | ||||
\(731\) | −2.10012 | − | 0.370307i | −0.0776756 | − | 0.0136963i | ||||
\(732\) | 11.8929 | + | 5.38519i | 0.439573 | + | 0.199042i | ||||
\(733\) | 13.0322 | + | 3.49197i | 0.481356 | + | 0.128979i | 0.491334 | − | 0.870971i | \(-0.336509\pi\) |
−0.00997799 | + | 0.999950i | \(0.503176\pi\) | |||||||
\(734\) | −2.39608 | + | 4.15014i | −0.0884410 | + | 0.153184i | ||||
\(735\) | −12.7208 | + | 76.3180i | −0.469215 | + | 2.81503i | ||||
\(736\) | 5.37551 | + | 1.95652i | 0.198144 | + | 0.0721184i | ||||
\(737\) | −11.5490 | + | 24.7668i | −0.425412 | + | 0.912299i | ||||
\(738\) | 16.9055 | + | 11.2843i | 0.622301 | + | 0.415382i | ||||
\(739\) | 34.5427 | − | 6.09080i | 1.27067 | − | 0.224054i | 0.502657 | − | 0.864486i | \(-0.332356\pi\) |
0.768015 | + | 0.640432i | \(0.221245\pi\) | |||||||
\(740\) | −0.0116011 | + | 6.53200i | −0.000426467 | + | 0.240121i | ||||
\(741\) | −7.14519 | + | 3.03521i | −0.262485 | + | 0.111501i | ||||
\(742\) | −10.9284 | − | 10.9284i | −0.401194 | − | 0.401194i | ||||
\(743\) | −5.94033 | + | 8.48367i | −0.217930 | + | 0.311236i | −0.913199 | − | 0.407513i | \(-0.866396\pi\) |
0.695270 | + | 0.718749i | \(0.255285\pi\) | |||||||
\(744\) | 8.99952 | + | 3.16242i | 0.329938 | + | 0.115940i | ||||
\(745\) | −3.43275 | + | 7.32755i | −0.125766 | + | 0.268461i | ||||
\(746\) | −1.22191 | + | 3.35718i | −0.0447375 | + | 0.122915i | ||||
\(747\) | −0.403064 | + | 0.917212i | −0.0147473 | + | 0.0335590i | ||||
\(748\) | −0.246546 | − | 0.920122i | −0.00901461 | − | 0.0336430i | ||||
\(749\) | −20.2359 | − | 35.0497i | −0.739405 | − | 1.28069i | ||||
\(750\) | 8.08173 | − | 17.5979i | 0.295103 | − | 0.642584i | ||||
\(751\) | 6.13894 | − | 34.8157i | 0.224013 | − | 1.27044i | −0.640549 | − | 0.767917i | \(-0.721293\pi\) |
0.864563 | − | 0.502525i | \(-0.167596\pi\) | |||||||
\(752\) | −7.72444 | − | 2.06976i | −0.281681 | − | 0.0754763i | ||||
\(753\) | 30.6074 | + | 29.9326i | 1.11539 | + | 1.09080i | ||||
\(754\) | 4.74299 | − | 5.65247i | 0.172729 | − | 0.205851i | ||||
\(755\) | 5.20811 | − | 2.41733i | 0.189543 | − | 0.0879757i | ||||
\(756\) | −25.0382 | + | 10.0733i | −0.910629 | + | 0.366362i | ||||
\(757\) | 20.4337 | + | 1.78772i | 0.742675 | + | 0.0649756i | 0.452212 | − | 0.891911i | \(-0.350635\pi\) |
0.290463 | + | 0.956886i | \(0.406191\pi\) | |||||||
\(758\) | 3.19223 | − | 4.55898i | 0.115947 | − | 0.165589i | ||||
\(759\) | 17.1226 | − | 10.1418i | 0.621510 | − | 0.368125i | ||||
\(760\) | 0.386900 | + | 9.73911i | 0.0140343 | + | 0.353275i | ||||
\(761\) | 47.9556i | 1.73839i | 0.494470 | + | 0.869195i | \(0.335362\pi\) | ||||
−0.494470 | + | 0.869195i | \(0.664638\pi\) | |||||||
\(762\) | −1.80909 | + | 23.7201i | −0.0655365 | + | 0.859287i | ||||
\(763\) | 1.53373 | − | 17.5306i | 0.0555247 | − | 0.634650i | ||||
\(764\) | −4.92800 | + | 1.79364i | −0.178289 | + | 0.0648918i | ||||
\(765\) | 2.39471 | − | 2.09460i | 0.0865810 | − | 0.0757303i | ||||
\(766\) | 5.95340 | + | 4.99549i | 0.215105 | + | 0.180494i | ||||
\(767\) | −2.85791 | − | 10.6659i | −0.103193 | − | 0.385122i | ||||
\(768\) | 0.466906 | + | 1.66793i | 0.0168480 | + | 0.0601863i | ||||
\(769\) | 19.2286 | + | 3.39052i | 0.693401 | + | 0.122265i | 0.509232 | − | 0.860629i | \(-0.329930\pi\) |
0.184169 | + | 0.982895i | \(0.441041\pi\) | |||||||
\(770\) | 19.1320 | − | 13.3458i | 0.689470 | − | 0.480949i | ||||
\(771\) | 15.2171 | + | 8.56089i | 0.548030 | + | 0.308313i | ||||
\(772\) | −22.3230 | + | 5.98144i | −0.803423 | + | 0.215277i | ||||
\(773\) | −0.0132693 | − | 0.151669i | −0.000477265 | − | 0.00545516i | 0.995952 | − | 0.0898830i | \(-0.0286493\pi\) |
−0.996430 | + | 0.0844278i | \(0.973094\pi\) | |||||||
\(774\) | 10.1375 | − | 8.89886i | 0.364385 | − | 0.319863i | ||||
\(775\) | −9.32613 | − | 25.9093i | −0.335004 | − | 0.930690i | ||||
\(776\) | −3.23709 | − | 3.85781i | −0.116205 | − | 0.138487i | ||||
\(777\) | −26.2036 | − | 1.99850i | −0.940047 | − | 0.0716959i | ||||
\(778\) | 4.76903 | − | 4.76903i | 0.170978 | − | 0.170978i | ||||
\(779\) | 15.8142 | + | 24.9416i | 0.566602 | + | 0.893624i | ||||
\(780\) | 3.85619 | + | 0.994636i | 0.138074 | + | 0.0356137i | ||||
\(781\) | −3.14574 | − | 17.8404i | −0.112564 | − | 0.638380i | ||||
\(782\) | 0.236459 | − | 2.70274i | 0.00845576 | − | 0.0966498i | ||||
\(783\) | 34.3021 | + | 14.6200i | 1.22586 | + | 0.522475i | ||||
\(784\) | −6.83256 | + | 18.7723i | −0.244020 | + | 0.670440i | ||||
\(785\) | −32.1018 | − | 27.0340i | −1.14576 | − | 0.964883i | ||||
\(786\) | −13.4811 | + | 0.150259i | −0.480855 | + | 0.00535956i | ||||
\(787\) | 0.200650 | − | 0.748837i | 0.00715241 | − | 0.0266932i | −0.962257 | − | 0.272141i | \(-0.912268\pi\) |
0.969410 | + | 0.245448i | \(0.0789350\pi\) | |||||||
\(788\) | 7.45185 | − | 5.21784i | 0.265461 | − | 0.185878i | ||||
\(789\) | 46.8412 | − | 17.6425i | 1.66759 | − | 0.628089i | ||||
\(790\) | 8.05598 | + | 14.0108i | 0.286619 | + | 0.498481i | ||||
\(791\) | −44.1472 | − | 25.4884i | −1.56969 | − | 0.906262i | ||||
\(792\) | 5.51640 | + | 2.42415i | 0.196017 | + | 0.0861384i | ||||
\(793\) | 7.02427 | − | 3.27547i | 0.249439 | − | 0.116315i | ||||
\(794\) | 18.8345 | − | 6.85522i | 0.668413 | − | 0.243282i | ||||
\(795\) | −10.3986 | + | 4.96809i | −0.368800 | + | 0.176200i | ||||
\(796\) | −3.60717 | − | 20.4573i | −0.127853 | − | 0.725089i | ||||
\(797\) | 13.1239 | − | 13.1239i | 0.464871 | − | 0.464871i | −0.435377 | − | 0.900248i | \(-0.643385\pi\) |
0.900248 | + | 0.435377i | \(0.143385\pi\) | |||||||
\(798\) | −39.1899 | − | 1.35806i | −1.38731 | − | 0.0480749i | ||||
\(799\) | 3.79271i | 0.134177i | ||||||||
\(800\) | 2.88241 | − | 4.08555i | 0.101909 | − | 0.144446i | ||||
\(801\) | 19.7151 | − | 3.93129i | 0.696597 | − | 0.138905i | ||||
\(802\) | 1.01414 | + | 0.472902i | 0.0358106 | + | 0.0166987i | ||||
\(803\) | 2.64535 | + | 5.67296i | 0.0933522 | + | 0.200194i | ||||
\(804\) | −23.2519 | − | 3.83324i | −0.820031 | − | 0.135188i | ||||
\(805\) | 64.2045 | − | 17.0814i | 2.26291 | − | 0.602040i | ||||
\(806\) | 4.90424 | − | 2.83146i | 0.172745 | − | 0.0997341i | ||||
\(807\) | −15.2781 | + | 33.7407i | −0.537813 | + | 1.18773i | ||||
\(808\) | −2.70368 | − | 3.86125i | −0.0951151 | − | 0.135838i | ||||
\(809\) | −0.639555 | − | 1.10774i | −0.0224856 | − | 0.0389461i | 0.854564 | − | 0.519347i | \(-0.173825\pi\) |
−0.877049 | + | 0.480401i | \(0.840491\pi\) | |||||||
\(810\) | 0.861184 | + | 20.1062i | 0.0302589 | + | 0.706459i | ||||
\(811\) | −35.9259 | − | 30.1454i | −1.26153 | − | 1.05855i | −0.995517 | − | 0.0945778i | \(-0.969850\pi\) |
−0.266011 | − | 0.963970i | \(-0.585706\pi\) | |||||||
\(812\) | 33.7799 | − | 15.7518i | 1.18544 | − | 0.552780i | ||||
\(813\) | 38.9380 | − | 3.84438i | 1.36562 | − | 0.134828i | ||||
\(814\) | 3.77141 | + | 4.49459i | 0.132188 | + | 0.157535i | ||||
\(815\) | 19.7071 | − | 3.43882i | 0.690310 | − | 0.120457i | ||||
\(816\) | 0.706785 | − | 0.418634i | 0.0247424 | − | 0.0146551i | ||||
\(817\) | 18.7049 | − | 5.85341i | 0.654401 | − | 0.204785i | ||||
\(818\) | 20.3742 | + | 20.3742i | 0.712367 | + | 0.712367i | ||||
\(819\) | −5.14292 | + | 15.1742i | −0.179708 | + | 0.530230i | ||||
\(820\) | 1.34720 | − | 15.0898i | 0.0470463 | − | 0.526960i | ||||
\(821\) | −3.32613 | − | 9.13847i | −0.116083 | − | 0.318935i | 0.868021 | − | 0.496527i | \(-0.165392\pi\) |
−0.984104 | + | 0.177592i | \(0.943169\pi\) | |||||||
\(822\) | 7.14602 | − | 10.4516i | 0.249246 | − | 0.364541i | ||||
\(823\) | 32.6572 | − | 2.85713i | 1.13836 | − | 0.0995934i | 0.497650 | − | 0.867378i | \(-0.334197\pi\) |
0.640708 | + | 0.767785i | \(0.278641\pi\) | |||||||
\(824\) | 3.66169 | − | 6.34223i | 0.127561 | − | 0.220942i | ||||
\(825\) | −4.62941 | − | 16.7669i | −0.161175 | − | 0.583748i | ||||
\(826\) | 9.68547 | − | 54.9290i | 0.337001 | − | 1.91123i | ||||
\(827\) | −11.7185 | − | 16.7358i | −0.407494 | − | 0.581961i | 0.561982 | − | 0.827150i | \(-0.310039\pi\) |
−0.969475 | + | 0.245188i | \(0.921150\pi\) | |||||||
\(828\) | 12.4025 | + | 11.8615i | 0.431015 | + | 0.412216i | ||||
\(829\) | −31.4339 | − | 18.1484i | −1.09174 | − | 0.630319i | −0.157704 | − | 0.987486i | \(-0.550409\pi\) |
−0.934040 | + | 0.357167i | \(0.883743\pi\) | |||||||
\(830\) | 0.744021 | − | 0.0637620i | 0.0258253 | − | 0.00221321i | ||||
\(831\) | −6.58321 | − | 35.0465i | −0.228369 | − | 1.21575i | ||||
\(832\) | 0.931913 | + | 0.434558i | 0.0323083 | + | 0.0150656i | ||||
\(833\) | 9.43849 | + | 0.825761i | 0.327024 | + | 0.0286109i | ||||
\(834\) | −14.8234 | + | 12.7225i | −0.513294 | + | 0.440546i | ||||
\(835\) | −0.0740572 | + | 41.6977i | −0.00256285 | + | 1.44301i | ||||
\(836\) | 5.90083 | + | 6.46751i | 0.204084 | + | 0.223683i | ||||
\(837\) | 20.9004 | + | 19.5475i | 0.722424 | + | 0.675659i | ||||
\(838\) | 2.50972 | + | 1.75732i | 0.0866967 | + | 0.0607057i | ||||
\(839\) | 8.98348 | − | 7.53804i | 0.310144 | − | 0.260242i | −0.474407 | − | 0.880305i | \(-0.657338\pi\) |
0.784552 | + | 0.620063i | \(0.212893\pi\) | |||||||
\(840\) | 15.5303 | + | 12.7854i | 0.535845 | + | 0.441139i | ||||
\(841\) | −21.1389 | − | 7.69393i | −0.728928 | − | 0.265308i | ||||
\(842\) | −22.1785 | + | 1.94037i | −0.764321 | + | 0.0668694i | ||||
\(843\) | 7.37202 | + | 7.20950i | 0.253906 | + | 0.248308i | ||||
\(844\) | −11.2674 | + | 6.50526i | −0.387841 | + | 0.223920i | ||||
\(845\) | −21.9024 | + | 15.2783i | −0.753464 | + | 0.525590i | ||||
\(846\) | −18.7172 | − | 15.0075i | −0.643509 | − | 0.515969i | ||||
\(847\) | −9.36417 | + | 34.9476i | −0.321757 | + | 1.20081i | ||||
\(848\) | −2.87421 | + | 0.770142i | −0.0987007 | + | 0.0264468i | ||||
\(849\) | 17.1516 | + | 2.82756i | 0.588640 | + | 0.0970415i | ||||
\(850\) | −2.22545 | − | 0.818961i | −0.0763323 | − | 0.0280901i | ||||
\(851\) | 5.71540 | + | 15.7029i | 0.195921 | + | 0.538290i | ||||
\(852\) | 14.0840 | − | 6.75957i | 0.482509 | − | 0.231579i | ||||
\(853\) | 30.5946 | + | 21.4226i | 1.04754 | + | 0.733495i | 0.964776 | − | 0.263075i | \(-0.0847365\pi\) |
0.0827634 | + | 0.996569i | \(0.473625\pi\) | |||||||
\(854\) | 39.1493 | 1.33966 | ||||||||
\(855\) | −10.6919 | + | 27.2155i | −0.365655 | + | 0.930751i | ||||
\(856\) | −7.79212 | −0.266329 | ||||||||
\(857\) | 21.0099 | + | 14.7113i | 0.717686 | + | 0.502529i | 0.874455 | − | 0.485106i | \(-0.161219\pi\) |
−0.156770 | + | 0.987635i | \(0.550108\pi\) | |||||||
\(858\) | 3.22493 | − | 1.54780i | 0.110097 | − | 0.0528410i | ||||
\(859\) | 17.2424 | + | 47.3730i | 0.588302 | + | 1.61635i | 0.773607 | + | 0.633665i | \(0.218450\pi\) |
−0.185305 | + | 0.982681i | \(0.559327\pi\) | |||||||
\(860\) | −9.44179 | − | 3.45553i | −0.321962 | − | 0.117833i | ||||
\(861\) | 60.1394 | + | 9.91440i | 2.04954 | + | 0.337882i | ||||
\(862\) | −5.89025 | + | 1.57829i | −0.200623 | + | 0.0537567i | ||||
\(863\) | 1.35479 | − | 5.05615i | 0.0461176 | − | 0.172113i | −0.939026 | − | 0.343846i | \(-0.888270\pi\) |
0.985143 | + | 0.171733i | \(0.0549367\pi\) | |||||||
\(864\) | −0.730730 | + | 5.14451i | −0.0248599 | + | 0.175020i | ||||
\(865\) | −8.07548 | + | 45.3274i | −0.274575 | + | 1.54118i | ||||
\(866\) | 2.69813 | − | 1.55777i | 0.0916864 | − | 0.0529351i | ||||
\(867\) | 20.7729 | + | 20.3149i | 0.705484 | + | 0.689931i | ||||
\(868\) | 28.4960 | − | 2.49307i | 0.967216 | − | 0.0846204i | ||||
\(869\) | 13.6415 | + | 4.96511i | 0.462757 | + | 0.168430i | ||||
\(870\) | −2.68159 | − | 27.6630i | −0.0909145 | − | 0.937864i | ||||
\(871\) | −10.7170 | + | 8.99264i | −0.363132 | + | 0.304704i | ||||
\(872\) | −2.77536 | − | 1.94333i | −0.0939855 | − | 0.0658094i | ||||
\(873\) | −4.23455 | − | 14.5025i | −0.143318 | − | 0.490834i | ||||
\(874\) | 9.49264 | + | 23.0575i | 0.321093 | + | 0.779931i | ||||
\(875\) | 0.309404 | − | 58.0693i | 0.0104598 | − | 1.96310i | ||||
\(876\) | −4.09606 | + | 3.51553i | −0.138393 | + | 0.118779i | ||||
\(877\) | 1.41436 | + | 0.123740i | 0.0477595 | + | 0.00417841i | 0.111010 | − | 0.993819i | \(-0.464591\pi\) |
−0.0632510 | + | 0.997998i | \(0.520147\pi\) | |||||||
\(878\) | −9.65980 | − | 4.50444i | −0.326002 | − | 0.152017i | ||||
\(879\) | −9.58423 | − | 51.0228i | −0.323268 | − | 1.72096i | ||||
\(880\) | −0.383485 | − | 4.47477i | −0.0129273 | − | 0.150844i | ||||
\(881\) | 31.0031 | + | 17.8997i | 1.04452 | + | 0.603055i | 0.921111 | − | 0.389301i | \(-0.127283\pi\) |
0.123411 | + | 0.992356i | \(0.460617\pi\) | |||||||
\(882\) | −41.4227 | + | 43.3118i | −1.39477 | + | 1.45838i | ||||
\(883\) | −5.72653 | − | 8.17833i | −0.192713 | − | 0.275223i | 0.711154 | − | 0.703036i | \(-0.248173\pi\) |
−0.903867 | + | 0.427813i | \(0.859284\pi\) | |||||||
\(884\) | 0.0846830 | − | 0.480261i | 0.00284820 | − | 0.0161529i | ||||
\(885\) | −36.2121 | − | 20.4571i | −1.21726 | − | 0.687657i | ||||
\(886\) | 1.85685 | − | 3.21615i | 0.0623820 | − | 0.108049i | ||||
\(887\) | −6.55584 | + | 0.573561i | −0.220123 | + | 0.0192583i | −0.196684 | − | 0.980467i | \(-0.563017\pi\) |
−0.0234395 | + | 0.999725i | \(0.507462\pi\) | |||||||
\(888\) | −2.85573 | + | 4.17673i | −0.0958322 | + | 0.140162i | ||||
\(889\) | 24.3985 | + | 67.0344i | 0.818301 | + | 2.24826i | ||||
\(890\) | −9.61115 | − | 11.4955i | −0.322166 | − | 0.385331i | ||||
\(891\) | 12.2250 | + | 13.3159i | 0.409554 | + | 0.446099i | ||||
\(892\) | −18.2652 | − | 18.2652i | −0.611563 | − | 0.611563i | ||||
\(893\) | −16.0290 | − | 30.9538i | −0.536389 | − | 1.03583i | ||||
\(894\) | −5.39286 | + | 3.19423i | −0.180364 | + | 0.106831i | ||||
\(895\) | 17.6515 | + | 12.4065i | 0.590025 | + | 0.414704i | ||||
\(896\) | 3.33860 | + | 3.97879i | 0.111535 | + | 0.132922i | ||||
\(897\) | 10.1388 | − | 1.00101i | 0.338525 | − | 0.0334229i | ||||
\(898\) | 18.4514 | − | 8.60404i | 0.615732 | − | 0.287121i | ||||
\(899\) | −30.2747 | − | 25.4035i | −1.00972 | − | 0.847255i | ||||
\(900\) | 12.8476 | − | 7.74209i | 0.428252 | − | 0.258070i | ||||
\(901\) | 0.705620 | + | 1.22217i | 0.0235076 | + | 0.0407164i | ||||
\(902\) | −7.80530 | − | 11.1471i | −0.259888 | − | 0.371159i | ||||
\(903\) | 16.6854 | − | 36.8488i | 0.555257 | − | 1.22625i | ||||
\(904\) | −8.49973 | + | 4.90732i | −0.282697 | + | 0.163215i | ||||
\(905\) | 0.917942 | + | 3.45031i | 0.0305134 | + | 0.114692i | ||||
\(906\) | 4.38832 | + | 0.723446i | 0.145792 | + | 0.0240349i | ||||
\(907\) | 8.60802 | + | 18.4600i | 0.285825 | + | 0.612953i | 0.995828 | − | 0.0912447i | \(-0.0290845\pi\) |
−0.710004 | + | 0.704198i | \(0.751307\pi\) | |||||||
\(908\) | 18.2991 | + | 8.53299i | 0.607276 | + | 0.283177i | ||||
\(909\) | −2.76538 | − | 13.8681i | −0.0917219 | − | 0.459977i | ||||
\(910\) | 11.7644 | − | 2.05284i | 0.389985 | − | 0.0680509i | ||||
\(911\) | − | 20.1190i | − | 0.666572i | −0.942826 | − | 0.333286i | \(-0.891843\pi\) | ||
0.942826 | − | 0.333286i | \(-0.108157\pi\) | |||||||
\(912\) | −3.99909 | + | 6.40369i | −0.132423 | + | 0.212047i | ||||
\(913\) | 0.474295 | − | 0.474295i | 0.0156969 | − | 0.0156969i | ||||
\(914\) | −0.745172 | − | 4.22608i | −0.0246481 | − | 0.139786i | ||||
\(915\) | 9.72698 | − | 27.5244i | 0.321564 | − | 0.909927i | ||||
\(916\) | −20.2584 | + | 7.37347i | −0.669358 | + | 0.243626i | ||||
\(917\) | −36.6408 | + | 17.0859i | −1.20999 | + | 0.564226i | ||||
\(918\) | 2.44645 | − | 0.296736i | 0.0807450 | − | 0.00979375i | ||||
\(919\) | 7.70807 | + | 4.45025i | 0.254266 | + | 0.146800i | 0.621716 | − | 0.783243i | \(-0.286436\pi\) |
−0.367450 | + | 0.930043i | \(0.619769\pi\) | |||||||
\(920\) | 3.33260 | − | 12.3497i | 0.109873 | − | 0.407156i | ||||
\(921\) | −30.1545 | + | 11.3575i | −0.993623 | + | 0.374242i | ||||
\(922\) | 16.5531 | − | 11.5906i | 0.545148 | − | 0.381717i | ||||
\(923\) | 2.40035 | − | 8.95822i | 0.0790084 | − | 0.294863i | ||||
\(924\) | 18.0678 | − | 0.201382i | 0.594388 | − | 0.00662498i | ||||
\(925\) | 14.5549 | − | 1.22131i | 0.478561 | − | 0.0401563i | ||||
\(926\) | 6.02990 | − | 16.5670i | 0.198155 | − | 0.544426i | ||||
\(927\) | 17.7115 | − | 12.9996i | 0.581723 | − | 0.426961i | ||||
\(928\) | 0.625433 | − | 7.14873i | 0.0205308 | − | 0.234669i | ||||
\(929\) | 5.22812 | + | 29.6502i | 0.171529 | + | 0.972790i | 0.942074 | + | 0.335405i | \(0.108873\pi\) |
−0.770545 | + | 0.637386i | \(0.780016\pi\) | |||||||
\(930\) | 5.32729 | − | 20.6538i | 0.174689 | − | 0.677266i | ||||
\(931\) | −80.5211 | + | 33.1501i | −2.63897 | + | 1.08645i | ||||
\(932\) | 2.14791 | − | 2.14791i | 0.0703572 | − | 0.0703572i | ||||
\(933\) | −56.3479 | − | 4.29757i | −1.84475 | − | 0.140696i | ||||
\(934\) | 20.8518 | + | 24.8502i | 0.682290 | + | 0.813122i | ||||
\(935\) | −2.00287 | + | 0.724958i | −0.0655008 | + | 0.0237087i | ||||
\(936\) | 2.03502 | + | 2.31828i | 0.0665167 | + | 0.0757753i | ||||
\(937\) | −2.73609 | − | 31.2736i | −0.0893840 | − | 1.02166i | −0.899943 | − | 0.436007i | \(-0.856392\pi\) |
0.810559 | − | 0.585657i | \(-0.199163\pi\) | |||||||
\(938\) | −68.2592 | + | 18.2900i | −2.22874 | + | 0.597190i | ||||
\(939\) | −25.1363 | − | 14.1413i | −0.820292 | − | 0.461483i | ||||
\(940\) | −3.13639 | + | 17.6045i | −0.102298 | + | 0.574195i | ||||
\(941\) | −31.6445 | − | 5.57978i | −1.03158 | − | 0.181896i | −0.367865 | − | 0.929879i | \(-0.619911\pi\) |
−0.663717 | + | 0.747984i | \(0.731022\pi\) | |||||||
\(942\) | −8.76333 | − | 31.3053i | −0.285525 | − | 1.01998i | ||||
\(943\) | −10.0312 | − | 37.4370i | −0.326661 | − | 1.21912i | ||||
\(944\) | −8.22635 | − | 6.90273i | −0.267745 | − | 0.224665i | ||||
\(945\) | 27.2228 | + | 53.8593i | 0.885558 | + | 1.75204i | ||||
\(946\) | −8.48644 | + | 3.08881i | −0.275918 | + | 0.100426i | ||||
\(947\) | −0.809764 | + | 9.25565i | −0.0263138 | + | 0.300768i | 0.971622 | + | 0.236541i | \(0.0760138\pi\) |
−0.997935 | + | 0.0642271i | \(0.979542\pi\) | |||||||
\(948\) | −0.952024 | + | 12.4826i | −0.0309203 | + | 0.405414i | ||||
\(949\) | 3.20449i | 0.104022i | ||||||||
\(950\) | 21.6239 | − | 2.72146i | 0.701572 | − | 0.0882958i | ||||
\(951\) | −23.5788 | + | 13.9659i | −0.764595 | + | 0.452875i | ||||
\(952\) | 1.41291 | − | 2.01785i | 0.0457928 | − | 0.0653988i | ||||
\(953\) | 3.02523 | + | 0.264673i | 0.0979968 | + | 0.00857361i | 0.136049 | − | 0.990702i | \(-0.456560\pi\) |
−0.0380519 | + | 0.999276i | \(0.512115\pi\) | |||||||
\(954\) | −8.82354 | − | 1.35379i | −0.285673 | − | 0.0438306i | ||||
\(955\) | 4.93696 | + | 10.6366i | 0.159756 | + | 0.344193i | ||||
\(956\) | −9.57181 | + | 11.4072i | −0.309574 | + | 0.368936i | ||||
\(957\) | −17.8481 | − | 17.4546i | −0.576947 | − | 0.564228i | ||||
\(958\) | 35.6627 | + | 9.55579i | 1.15221 | + | 0.308733i | ||||
\(959\) | 6.59288 | − | 37.3901i | 0.212895 | − | 1.20739i | ||||
\(960\) | 3.62684 | − | 1.35868i | 0.117056 | − | 0.0438512i | ||||
\(961\) | 0.334622 | + | 0.579583i | 0.0107943 | + | 0.0186962i | ||||
\(962\) | 0.777423 | + | 2.90138i | 0.0250651 | + | 0.0935443i | ||||
\(963\) | −21.4011 | − | 9.40461i | −0.689642 | − | 0.303059i | ||||
\(964\) | −3.21991 | + | 8.84663i | −0.103706 | + | 0.284931i | ||||
\(965\) | 17.5882 | + | 48.5915i | 0.566184 | + | 1.56422i | ||||
\(966\) | 48.5522 | + | 17.0612i | 1.56214 | + | 0.548934i | ||||
\(967\) | 33.9314 | − | 48.4591i | 1.09116 | − | 1.55834i | 0.292787 | − | 0.956178i | \(-0.405417\pi\) |
0.798374 | − | 0.602161i | \(-0.205694\pi\) | |||||||
\(968\) | 4.92562 | + | 4.92562i | 0.158315 | + | 0.158315i | ||||
\(969\) | 3.42449 | + | 1.04597i | 0.110010 | + | 0.0336014i | ||||
\(970\) | −7.97677 | + | 7.94848i | −0.256119 | + | 0.255210i | ||||
\(971\) | 21.2821 | − | 3.75260i | 0.682974 | − | 0.120427i | 0.178613 | − | 0.983919i | \(-0.442839\pi\) |
0.504361 | + | 0.863493i | \(0.331728\pi\) | |||||||
\(972\) | −8.21606 | + | 13.2475i | −0.263530 | + | 0.424914i | ||||
\(973\) | −24.7564 | + | 53.0903i | −0.793654 | + | 1.70200i | ||||
\(974\) | 28.5219 | + | 10.3811i | 0.913900 | + | 0.332632i | ||||
\(975\) | 1.47969 | − | 8.78113i | 0.0473880 | − | 0.281221i | ||||
\(976\) | 3.76874 | − | 6.52765i | 0.120634 | − | 0.208945i | ||||
\(977\) | −26.8151 | − | 7.18508i | −0.857890 | − | 0.229871i | −0.197046 | − | 0.980394i | \(-0.563135\pi\) |
−0.660844 | + | 0.750523i | \(0.729802\pi\) | |||||||
\(978\) | 14.1160 | + | 6.39185i | 0.451380 | + | 0.204389i | ||||
\(979\) | −13.2547 | − | 2.33716i | −0.423622 | − | 0.0746960i | ||||
\(980\) | 43.1274 | + | 11.6381i | 1.37765 | + | 0.371765i | ||||
\(981\) | −5.27707 | − | 8.68705i | −0.168484 | − | 0.277356i | ||||
\(982\) | −0.330681 | − | 3.77970i | −0.0105525 | − | 0.120615i | ||||
\(983\) | −7.82631 | − | 16.7836i | −0.249621 | − | 0.535313i | 0.741073 | − | 0.671425i | \(-0.234317\pi\) |
−0.990694 | + | 0.136111i | \(0.956539\pi\) | |||||||
\(984\) | 7.44248 | − | 9.07307i | 0.237257 | − | 0.289239i | ||||
\(985\) | −13.0476 | − | 15.6057i | −0.415731 | − | 0.497240i | ||||
\(986\) | −3.35168 | + | 0.590992i | −0.106739 | + | 0.0188210i | ||||
\(987\) | −69.6937 | − | 17.8443i | −2.21837 | − | 0.567989i | ||||
\(988\) | 1.33858 | + | 4.27749i | 0.0425858 | + | 0.136085i | ||||
\(989\) | −25.7216 | −0.817900 | ||||||||
\(990\) | 4.34753 | − | 12.7528i | 0.138173 | − | 0.405312i | ||||
\(991\) | 25.4228 | − | 21.3322i | 0.807580 | − | 0.677640i | −0.142449 | − | 0.989802i | \(-0.545498\pi\) |
0.950029 | + | 0.312162i | \(0.101053\pi\) | |||||||
\(992\) | 2.32750 | − | 4.99134i | 0.0738982 | − | 0.158475i | ||||
\(993\) | 40.5139 | + | 27.7004i | 1.28567 | + | 0.879045i | ||||
\(994\) | 30.1123 | − | 35.8864i | 0.955103 | − | 1.13825i | ||||
\(995\) | −44.8881 | + | 11.9423i | −1.42305 | + | 0.378597i | ||||
\(996\) | 0.504126 | + | 0.283613i | 0.0159738 | + | 0.00898663i | ||||
\(997\) | −19.7302 | + | 13.8152i | −0.624860 | + | 0.437532i | −0.842648 | − | 0.538464i | \(-0.819005\pi\) |
0.217788 | + | 0.975996i | \(0.430116\pi\) | |||||||
\(998\) | 8.68765 | − | 6.08316i | 0.275003 | − | 0.192559i | ||||
\(999\) | −12.8843 | + | 8.02471i | −0.407643 | + | 0.253891i |
(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 | 570.2.bi.a.47.4 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.47.37 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.503.8 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.503.26 | yes | 480 | |
19.17 | even | 9 | inner | 570.2.bi.a.17.26 | yes | 480 | |
57.17 | odd | 18 | inner | 570.2.bi.a.17.8 | ✓ | 480 | |
95.93 | odd | 36 | inner | 570.2.bi.a.473.37 | yes | 480 | |
285.188 | even | 36 | inner | 570.2.bi.a.473.4 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.17.8 | ✓ | 480 | 57.17 | odd | 18 | inner | |
570.2.bi.a.17.26 | yes | 480 | 19.17 | even | 9 | inner | |
570.2.bi.a.47.4 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.47.37 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.473.4 | yes | 480 | 285.188 | even | 36 | inner | |
570.2.bi.a.473.37 | yes | 480 | 95.93 | odd | 36 | inner | |
570.2.bi.a.503.8 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.503.26 | yes | 480 | 15.8 | even | 4 | inner |