Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,3,Mod(19,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 7, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.m (of order \(8\), degree \(4\), 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: | \(2.61581053786\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 19.12 | ||
Character | \(\chi\) | \(=\) | 96.19 |
Dual form | 96.3.m.a.91.12 |
$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.02518 | + | 1.71727i | 0.512590 | + | 0.858633i | ||||
\(3\) | 1.60021 | + | 0.662827i | 0.533402 | + | 0.220942i | ||||
\(4\) | −1.89801 | + | 3.52102i | −0.474502 | + | 0.880254i | ||||
\(5\) | −7.00900 | + | 2.90322i | −1.40180 | + | 0.580644i | −0.950218 | − | 0.311586i | \(-0.899140\pi\) |
−0.451581 | + | 0.892230i | \(0.649140\pi\) | |||||||
\(6\) | 0.502250 | + | 3.42750i | 0.0837083 | + | 0.571250i | ||||
\(7\) | 2.35957 | + | 2.35957i | 0.337081 | + | 0.337081i | 0.855268 | − | 0.518187i | \(-0.173393\pi\) |
−0.518187 | + | 0.855268i | \(0.673393\pi\) | |||||||
\(8\) | −7.99233 | + | 0.350291i | −0.999041 | + | 0.0437864i | ||||
\(9\) | 2.12132 | + | 2.12132i | 0.235702 | + | 0.235702i | ||||
\(10\) | −12.1711 | − | 9.05999i | −1.21711 | − | 0.905999i | ||||
\(11\) | 12.1899 | − | 5.04924i | 1.10818 | − | 0.459022i | 0.247867 | − | 0.968794i | \(-0.420270\pi\) |
0.860310 | + | 0.509772i | \(0.170270\pi\) | |||||||
\(12\) | −5.37103 | + | 4.37630i | −0.447586 | + | 0.364692i | ||||
\(13\) | 23.4042 | + | 9.69435i | 1.80033 | + | 0.745719i | 0.986315 | + | 0.164869i | \(0.0527202\pi\) |
0.814010 | + | 0.580850i | \(0.197280\pi\) | |||||||
\(14\) | −1.63302 | + | 6.47098i | −0.116644 | + | 0.462213i | ||||
\(15\) | −13.1402 | −0.876011 | ||||||||
\(16\) | −8.79512 | − | 13.3658i | −0.549695 | − | 0.835365i | ||||
\(17\) | − | 25.7007i | − | 1.51181i | −0.654682 | − | 0.755904i | \(-0.727198\pi\) | ||
0.654682 | − | 0.755904i | \(-0.272802\pi\) | |||||||
\(18\) | −1.46814 | + | 5.81761i | −0.0815631 | + | 0.323201i | ||||
\(19\) | −2.32569 | + | 5.61471i | −0.122405 | + | 0.295511i | −0.973190 | − | 0.230002i | \(-0.926127\pi\) |
0.850785 | + | 0.525513i | \(0.176127\pi\) | |||||||
\(20\) | 3.08085 | − | 30.1891i | 0.154042 | − | 1.50946i | ||||
\(21\) | 2.21181 | + | 5.33978i | 0.105324 | + | 0.254275i | ||||
\(22\) | 21.1678 | + | 15.7570i | 0.962172 | + | 0.716227i | ||||
\(23\) | −23.2058 | + | 23.2058i | −1.00895 | + | 1.00895i | −0.00898919 | + | 0.999960i | \(0.502861\pi\) |
−0.999960 | + | 0.00898919i | \(0.997139\pi\) | |||||||
\(24\) | −13.0216 | − | 4.73699i | −0.542565 | − | 0.197375i | ||||
\(25\) | 23.0197 | − | 23.0197i | 0.920786 | − | 0.920786i | ||||
\(26\) | 7.34578 | + | 50.1298i | 0.282530 | + | 1.92807i | ||||
\(27\) | 1.98848 | + | 4.80062i | 0.0736475 | + | 0.177801i | ||||
\(28\) | −12.7865 | + | 3.82959i | −0.456662 | + | 0.136771i | ||||
\(29\) | −1.15484 | + | 2.78802i | −0.0398219 | + | 0.0961386i | −0.942539 | − | 0.334096i | \(-0.891569\pi\) |
0.902717 | + | 0.430234i | \(0.141569\pi\) | |||||||
\(30\) | −13.4711 | − | 22.5652i | −0.449035 | − | 0.752173i | ||||
\(31\) | − | 28.2967i | − | 0.912798i | −0.889775 | − | 0.456399i | \(-0.849139\pi\) | ||
0.889775 | − | 0.456399i | \(-0.150861\pi\) | |||||||
\(32\) | 13.9361 | − | 28.8060i | 0.435504 | − | 0.900187i | ||||
\(33\) | 22.8532 | 0.692521 | ||||||||
\(34\) | 44.1350 | − | 26.3479i | 1.29809 | − | 0.774938i | ||||
\(35\) | −23.3885 | − | 9.68784i | −0.668244 | − | 0.276796i | ||||
\(36\) | −11.4955 | + | 3.44292i | −0.319319 | + | 0.0956367i | ||||
\(37\) | 34.9633 | − | 14.4823i | 0.944953 | − | 0.391412i | 0.143621 | − | 0.989633i | \(-0.454125\pi\) |
0.801332 | + | 0.598220i | \(0.204125\pi\) | |||||||
\(38\) | −12.0262 | + | 1.76227i | −0.316479 | + | 0.0463754i | ||||
\(39\) | 31.0259 | + | 31.0259i | 0.795537 | + | 0.795537i | ||||
\(40\) | 55.0012 | − | 25.6587i | 1.37503 | − | 0.641467i | ||||
\(41\) | 10.1415 | + | 10.1415i | 0.247353 | + | 0.247353i | 0.819883 | − | 0.572531i | \(-0.194038\pi\) |
−0.572531 | + | 0.819883i | \(0.694038\pi\) | |||||||
\(42\) | −6.90232 | + | 9.27250i | −0.164341 | + | 0.220774i | ||||
\(43\) | −22.8453 | + | 9.46285i | −0.531287 | + | 0.220066i | −0.632167 | − | 0.774832i | \(-0.717834\pi\) |
0.100880 | + | 0.994899i | \(0.467834\pi\) | |||||||
\(44\) | −5.35817 | + | 52.5045i | −0.121776 | + | 1.19328i | ||||
\(45\) | −21.0270 | − | 8.70966i | −0.467266 | − | 0.193548i | ||||
\(46\) | −63.6407 | − | 16.0604i | −1.38349 | − | 0.349140i | ||||
\(47\) | −11.2848 | −0.240102 | −0.120051 | − | 0.992768i | \(-0.538306\pi\) | ||||
−0.120051 | + | 0.992768i | \(0.538306\pi\) | |||||||
\(48\) | −5.21477 | − | 27.2178i | −0.108641 | − | 0.567037i | ||||
\(49\) | − | 37.8649i | − | 0.772753i | ||||||
\(50\) | 63.1302 | + | 15.9316i | 1.26260 | + | 0.318632i | ||||
\(51\) | 17.0351 | − | 41.1265i | 0.334023 | − | 0.806402i | ||||
\(52\) | −78.5554 | + | 64.0067i | −1.51068 | + | 1.23090i | ||||
\(53\) | 1.71282 | + | 4.13510i | 0.0323173 | + | 0.0780208i | 0.939214 | − | 0.343332i | \(-0.111556\pi\) |
−0.906897 | + | 0.421353i | \(0.861556\pi\) | |||||||
\(54\) | −6.20539 | + | 8.33625i | −0.114915 | + | 0.154375i | ||||
\(55\) | −70.7802 | + | 70.7802i | −1.28691 | + | 1.28691i | ||||
\(56\) | −19.6850 | − | 18.0319i | −0.351517 | − | 0.321998i | ||||
\(57\) | −7.44317 | + | 7.44317i | −0.130582 | + | 0.130582i | ||||
\(58\) | −5.97169 | + | 0.875063i | −0.102960 | + | 0.0150873i | ||||
\(59\) | 14.3649 | + | 34.6800i | 0.243473 | + | 0.587797i | 0.997623 | − | 0.0689057i | \(-0.0219508\pi\) |
−0.754150 | + | 0.656702i | \(0.771951\pi\) | |||||||
\(60\) | 24.9402 | − | 46.2668i | 0.415669 | − | 0.771113i | ||||
\(61\) | −0.574221 | + | 1.38629i | −0.00941347 | + | 0.0227261i | −0.928516 | − | 0.371291i | \(-0.878915\pi\) |
0.919103 | + | 0.394018i | \(0.128915\pi\) | |||||||
\(62\) | 48.5930 | − | 29.0093i | 0.783758 | − | 0.467891i | ||||
\(63\) | 10.0108i | 0.158901i | ||||||||
\(64\) | 63.7546 | − | 5.59928i | 0.996166 | − | 0.0874887i | ||||
\(65\) | −192.185 | −2.95669 | ||||||||
\(66\) | 23.4287 | + | 39.2450i | 0.354980 | + | 0.594622i | ||||
\(67\) | 2.88669 | + | 1.19571i | 0.0430849 | + | 0.0178464i | 0.404122 | − | 0.914705i | \(-0.367577\pi\) |
−0.361037 | + | 0.932552i | \(0.617577\pi\) | |||||||
\(68\) | 90.4928 | + | 48.7802i | 1.33078 | + | 0.717357i | ||||
\(69\) | −52.5156 | + | 21.7527i | −0.761095 | + | 0.315256i | ||||
\(70\) | −7.34085 | − | 50.0961i | −0.104869 | − | 0.715659i | ||||
\(71\) | −82.7570 | − | 82.7570i | −1.16559 | − | 1.16559i | −0.983232 | − | 0.182360i | \(-0.941626\pi\) |
−0.182360 | − | 0.983232i | \(-0.558374\pi\) | |||||||
\(72\) | −17.6974 | − | 16.2112i | −0.245797 | − | 0.225156i | ||||
\(73\) | 6.80099 | + | 6.80099i | 0.0931643 | + | 0.0931643i | 0.752153 | − | 0.658989i | \(-0.229015\pi\) |
−0.658989 | + | 0.752153i | \(0.729015\pi\) | |||||||
\(74\) | 60.7136 | + | 45.1943i | 0.820454 | + | 0.610734i | ||||
\(75\) | 52.0942 | − | 21.5781i | 0.694590 | − | 0.287709i | ||||
\(76\) | −15.3553 | − | 18.8456i | −0.202044 | − | 0.247968i | ||||
\(77\) | 40.6770 | + | 16.8490i | 0.528273 | + | 0.218818i | ||||
\(78\) | −21.4726 | + | 85.0870i | −0.275290 | + | 1.09086i | ||||
\(79\) | −58.6268 | −0.742111 | −0.371056 | − | 0.928611i | \(-0.621004\pi\) | ||||
−0.371056 | + | 0.928611i | \(0.621004\pi\) | |||||||
\(80\) | 100.449 | + | 68.1470i | 1.25561 | + | 0.851837i | ||||
\(81\) | 9.00000i | 0.111111i | ||||||||
\(82\) | −7.01876 | + | 27.8124i | −0.0855946 | + | 0.339176i | ||||
\(83\) | −6.99463 | + | 16.8865i | −0.0842726 | + | 0.203452i | −0.960398 | − | 0.278631i | \(-0.910120\pi\) |
0.876126 | + | 0.482083i | \(0.160120\pi\) | |||||||
\(84\) | −22.9995 | − | 2.34713i | −0.273803 | − | 0.0279420i | ||||
\(85\) | 74.6149 | + | 180.136i | 0.877823 | + | 2.11925i | ||||
\(86\) | −39.6708 | − | 29.5304i | −0.461289 | − | 0.343377i | ||||
\(87\) | −3.69595 | + | 3.69595i | −0.0424822 | + | 0.0424822i | ||||
\(88\) | −95.6573 | + | 44.6252i | −1.08702 | + | 0.507105i | ||||
\(89\) | 85.6528 | − | 85.6528i | 0.962391 | − | 0.962391i | −0.0369265 | − | 0.999318i | \(-0.511757\pi\) |
0.999318 | + | 0.0369265i | \(0.0117567\pi\) | |||||||
\(90\) | −6.59965 | − | 45.0379i | −0.0733294 | − | 0.500421i | ||||
\(91\) | 32.3494 | + | 78.0983i | 0.355488 | + | 0.858223i | ||||
\(92\) | −37.6632 | − | 125.753i | −0.409383 | − | 1.36688i | ||||
\(93\) | 18.7558 | − | 45.2806i | 0.201676 | − | 0.486888i | ||||
\(94\) | −11.5690 | − | 19.3790i | −0.123074 | − | 0.206160i | ||||
\(95\) | − | 46.1055i | − | 0.485321i | ||||||
\(96\) | 41.3941 | − | 36.8583i | 0.431188 | − | 0.383940i | ||||
\(97\) | 19.1537 | 0.197461 | 0.0987305 | − | 0.995114i | \(-0.468522\pi\) | ||||
0.0987305 | + | 0.995114i | \(0.468522\pi\) | |||||||
\(98\) | 65.0241 | − | 38.8184i | 0.663512 | − | 0.396106i | ||||
\(99\) | 36.5698 | + | 15.1477i | 0.369392 | + | 0.153007i | ||||
\(100\) | 37.3611 | + | 124.744i | 0.373611 | + | 1.24744i | ||||
\(101\) | 12.1412 | − | 5.02904i | 0.120210 | − | 0.0497924i | −0.321768 | − | 0.946819i | \(-0.604277\pi\) |
0.441978 | + | 0.897026i | \(0.354277\pi\) | |||||||
\(102\) | 88.0893 | − | 12.9082i | 0.863620 | − | 0.126551i | ||||
\(103\) | −2.43859 | − | 2.43859i | −0.0236756 | − | 0.0236756i | 0.695170 | − | 0.718845i | \(-0.255329\pi\) |
−0.718845 | + | 0.695170i | \(0.755329\pi\) | |||||||
\(104\) | −190.450 | − | 69.2821i | −1.83125 | − | 0.666174i | ||||
\(105\) | −31.0051 | − | 31.0051i | −0.295287 | − | 0.295287i | ||||
\(106\) | −5.34513 | + | 7.18059i | −0.0504258 | + | 0.0677414i | ||||
\(107\) | 153.093 | − | 63.4133i | 1.43078 | − | 0.592648i | 0.473235 | − | 0.880936i | \(-0.343086\pi\) |
0.957544 | + | 0.288288i | \(0.0930861\pi\) | |||||||
\(108\) | −20.6772 | − | 2.11014i | −0.191456 | − | 0.0195383i | ||||
\(109\) | −152.961 | − | 63.3585i | −1.40331 | − | 0.581271i | −0.452703 | − | 0.891662i | \(-0.649540\pi\) |
−0.950609 | + | 0.310391i | \(0.899540\pi\) | |||||||
\(110\) | −194.111 | − | 48.9860i | −1.76465 | − | 0.445327i | ||||
\(111\) | 65.5477 | 0.590520 | ||||||||
\(112\) | 10.7849 | − | 52.2903i | 0.0962939 | − | 0.466877i | ||||
\(113\) | 78.9572i | 0.698736i | 0.936986 | + | 0.349368i | \(0.113604\pi\) | ||||
−0.936986 | + | 0.349368i | \(0.886396\pi\) | |||||||
\(114\) | −20.4125 | − | 5.15131i | −0.179057 | − | 0.0451870i | ||||
\(115\) | 95.2779 | − | 230.021i | 0.828503 | − | 2.00018i | ||||
\(116\) | −7.62477 | − | 9.35788i | −0.0657308 | − | 0.0806714i | ||||
\(117\) | 29.0831 | + | 70.2127i | 0.248573 | + | 0.600109i | ||||
\(118\) | −44.8282 | + | 60.2217i | −0.379900 | + | 0.510353i | ||||
\(119\) | 60.6426 | − | 60.6426i | 0.509602 | − | 0.509602i | ||||
\(120\) | 105.021 | − | 4.60288i | 0.875171 | − | 0.0383574i | ||||
\(121\) | 37.5400 | − | 37.5400i | 0.310248 | − | 0.310248i | ||||
\(122\) | −2.96932 | + | 0.435110i | −0.0243387 | + | 0.00356647i | ||||
\(123\) | 9.50639 | + | 22.9505i | 0.0772877 | + | 0.186589i | ||||
\(124\) | 99.6333 | + | 53.7074i | 0.803494 | + | 0.433125i | ||||
\(125\) | −21.9330 | + | 52.9509i | −0.175464 | + | 0.423607i | ||||
\(126\) | −17.1912 | + | 10.2629i | −0.136438 | + | 0.0814513i | ||||
\(127\) | − | 2.13791i | − | 0.0168340i | −0.999965 | − | 0.00841698i | \(-0.997321\pi\) | ||
0.999965 | − | 0.00841698i | \(-0.00267924\pi\) | |||||||
\(128\) | 74.9754 | + | 103.743i | 0.585746 | + | 0.810495i | ||||
\(129\) | −42.8295 | −0.332012 | ||||||||
\(130\) | −197.024 | − | 330.033i | −1.51557 | − | 2.53871i | ||||
\(131\) | 25.8459 | + | 10.7057i | 0.197297 | + | 0.0817232i | 0.479144 | − | 0.877736i | \(-0.340947\pi\) |
−0.281847 | + | 0.959459i | \(0.590947\pi\) | |||||||
\(132\) | −43.3756 | + | 80.4665i | −0.328603 | + | 0.609595i | ||||
\(133\) | −18.7359 | + | 7.76067i | −0.140871 | + | 0.0583509i | ||||
\(134\) | 0.906032 | + | 6.18303i | 0.00676144 | + | 0.0461420i | ||||
\(135\) | −27.8745 | − | 27.8745i | −0.206478 | − | 0.206478i | ||||
\(136\) | 9.00274 | + | 205.409i | 0.0661966 | + | 1.51036i | ||||
\(137\) | −110.083 | − | 110.083i | −0.803527 | − | 0.803527i | 0.180118 | − | 0.983645i | \(-0.442352\pi\) |
−0.983645 | + | 0.180118i | \(0.942352\pi\) | |||||||
\(138\) | −91.1930 | − | 67.8828i | −0.660819 | − | 0.491904i | ||||
\(139\) | −28.9934 | + | 12.0094i | −0.208585 | + | 0.0863989i | −0.484530 | − | 0.874775i | \(-0.661009\pi\) |
0.275945 | + | 0.961174i | \(0.411009\pi\) | |||||||
\(140\) | 78.5027 | − | 63.9638i | 0.560734 | − | 0.456884i | ||||
\(141\) | −18.0580 | − | 7.47988i | −0.128071 | − | 0.0530488i | ||||
\(142\) | 57.2750 | − | 226.957i | 0.403345 | − | 1.59829i | ||||
\(143\) | 334.246 | 2.33738 | ||||||||
\(144\) | 9.69597 | − | 47.0105i | 0.0673331 | − | 0.326462i | ||||
\(145\) | − | 22.8939i | − | 0.157889i | ||||||
\(146\) | −4.70687 | + | 18.6514i | −0.0322388 | + | 0.127749i | ||||
\(147\) | 25.0979 | − | 60.5917i | 0.170734 | − | 0.412188i | ||||
\(148\) | −15.3683 | + | 150.594i | −0.103840 | + | 1.01753i | ||||
\(149\) | 56.7824 | + | 137.085i | 0.381090 | + | 0.920033i | 0.991756 | + | 0.128144i | \(0.0409020\pi\) |
−0.610665 | + | 0.791889i | \(0.709098\pi\) | |||||||
\(150\) | 90.4614 | + | 67.3382i | 0.603076 | + | 0.448921i | ||||
\(151\) | −189.419 | + | 189.419i | −1.25443 | + | 1.25443i | −0.300718 | + | 0.953713i | \(0.597226\pi\) |
−0.953713 | + | 0.300718i | \(0.902774\pi\) | |||||||
\(152\) | 16.6209 | − | 45.6893i | 0.109348 | − | 0.300587i | ||||
\(153\) | 54.5195 | − | 54.5195i | 0.356337 | − | 0.356337i | ||||
\(154\) | 12.7671 | + | 87.1265i | 0.0829033 | + | 0.565756i | ||||
\(155\) | 82.1516 | + | 198.332i | 0.530011 | + | 1.27956i | ||||
\(156\) | −168.130 | + | 50.3553i | −1.07776 | + | 0.322791i | ||||
\(157\) | 81.6229 | − | 197.055i | 0.519891 | − | 1.25513i | −0.418079 | − | 0.908411i | \(-0.637297\pi\) |
0.937970 | − | 0.346717i | \(-0.112703\pi\) | |||||||
\(158\) | −60.1030 | − | 100.678i | −0.380399 | − | 0.637201i | ||||
\(159\) | 7.75232i | 0.0487567i | ||||||||
\(160\) | −14.0482 | + | 242.361i | −0.0878010 | + | 1.51475i | ||||
\(161\) | −109.511 | −0.680195 | ||||||||
\(162\) | −15.4554 | + | 9.22663i | −0.0954037 | + | 0.0569545i | ||||
\(163\) | −158.728 | − | 65.7474i | −0.973792 | − | 0.403358i | −0.161670 | − | 0.986845i | \(-0.551688\pi\) |
−0.812123 | + | 0.583487i | \(0.801688\pi\) | |||||||
\(164\) | −54.9568 | + | 16.4597i | −0.335103 | + | 0.100364i | ||||
\(165\) | −160.178 | + | 66.3479i | −0.970776 | + | 0.402108i | ||||
\(166\) | −36.1694 | + | 5.30010i | −0.217888 | + | 0.0319283i | ||||
\(167\) | 41.5433 | + | 41.5433i | 0.248762 | + | 0.248762i | 0.820463 | − | 0.571700i | \(-0.193716\pi\) |
−0.571700 | + | 0.820463i | \(0.693716\pi\) | |||||||
\(168\) | −19.5480 | − | 41.9025i | −0.116357 | − | 0.249419i | ||||
\(169\) | 334.277 | + | 334.277i | 1.97797 | + | 1.97797i | ||||
\(170\) | −232.848 | + | 312.806i | −1.36970 | + | 1.84004i | ||||
\(171\) | −16.8441 | + | 6.97707i | −0.0985037 | + | 0.0408016i | ||||
\(172\) | 10.0418 | − | 98.3994i | 0.0583826 | − | 0.572090i | ||||
\(173\) | 91.1085 | + | 37.7384i | 0.526639 | + | 0.218141i | 0.630130 | − | 0.776489i | \(-0.283002\pi\) |
−0.103492 | + | 0.994630i | \(0.533002\pi\) | |||||||
\(174\) | −10.1359 | − | 2.55791i | −0.0582526 | − | 0.0147007i | ||||
\(175\) | 108.633 | 0.620759 | ||||||||
\(176\) | −174.699 | − | 118.520i | −0.992611 | − | 0.673410i | ||||
\(177\) | 65.0166i | 0.367326i | ||||||||
\(178\) | 234.898 | + | 59.2791i | 1.31965 | + | 0.333029i | ||||
\(179\) | −125.736 | + | 303.554i | −0.702436 | + | 1.69583i | 0.0156525 | + | 0.999877i | \(0.495017\pi\) |
−0.718088 | + | 0.695952i | \(0.754983\pi\) | |||||||
\(180\) | 70.5763 | − | 57.5054i | 0.392090 | − | 0.319474i | ||||
\(181\) | −76.2312 | − | 184.038i | −0.421167 | − | 1.01679i | −0.982004 | − | 0.188861i | \(-0.939521\pi\) |
0.560837 | − | 0.827926i | \(-0.310479\pi\) | |||||||
\(182\) | −100.952 | + | 135.617i | −0.554679 | + | 0.745150i | ||||
\(183\) | −1.83775 | + | 1.83775i | −0.0100423 | + | 0.0100423i | ||||
\(184\) | 177.340 | − | 193.597i | 0.963803 | − | 1.05216i | ||||
\(185\) | −203.012 | + | 203.012i | −1.09736 | + | 1.09736i | ||||
\(186\) | 96.9870 | − | 14.2120i | 0.521435 | − | 0.0764087i | ||||
\(187\) | −129.769 | − | 313.291i | −0.693953 | − | 1.67535i | ||||
\(188\) | 21.4187 | − | 39.7340i | 0.113929 | − | 0.211351i | ||||
\(189\) | −6.63542 | + | 16.0193i | −0.0351081 | + | 0.0847583i | ||||
\(190\) | 79.1754 | − | 47.2665i | 0.416713 | − | 0.248771i | ||||
\(191\) | − | 201.527i | − | 1.05511i | −0.849520 | − | 0.527556i | \(-0.823108\pi\) | ||
0.849520 | − | 0.527556i | \(-0.176892\pi\) | |||||||
\(192\) | 105.732 | + | 33.2983i | 0.550687 | + | 0.173429i | ||||
\(193\) | 2.68950 | 0.0139352 | 0.00696761 | − | 0.999976i | \(-0.497782\pi\) | ||||
0.00696761 | + | 0.999976i | \(0.497782\pi\) | |||||||
\(194\) | 19.6360 | + | 32.8920i | 0.101217 | + | 0.169547i | ||||
\(195\) | −307.536 | − | 127.385i | −1.57711 | − | 0.653259i | ||||
\(196\) | 133.323 | + | 71.8679i | 0.680219 | + | 0.366673i | ||||
\(197\) | −6.97702 | + | 2.88997i | −0.0354163 | + | 0.0146699i | −0.400321 | − | 0.916375i | \(-0.631101\pi\) |
0.364905 | + | 0.931045i | \(0.381101\pi\) | |||||||
\(198\) | 11.4780 | + | 78.3293i | 0.0579698 | + | 0.395603i | ||||
\(199\) | 178.829 | + | 178.829i | 0.898639 | + | 0.898639i | 0.995316 | − | 0.0966766i | \(-0.0308212\pi\) |
−0.0966766 | + | 0.995316i | \(0.530821\pi\) | |||||||
\(200\) | −175.917 | + | 192.044i | −0.879585 | + | 0.960221i | ||||
\(201\) | 3.82675 | + | 3.82675i | 0.0190386 | + | 0.0190386i | ||||
\(202\) | 21.0831 | + | 15.6940i | 0.104372 | + | 0.0776928i | ||||
\(203\) | −9.30342 | + | 3.85360i | −0.0458297 | + | 0.0189833i | ||||
\(204\) | 112.474 | + | 138.040i | 0.551344 | + | 0.676664i | ||||
\(205\) | −100.524 | − | 41.6385i | −0.490362 | − | 0.203115i | ||||
\(206\) | 1.68771 | − | 6.68770i | 0.00819278 | − | 0.0324646i | ||||
\(207\) | −98.4540 | −0.475623 | ||||||||
\(208\) | −76.2699 | − | 398.080i | −0.366682 | − | 1.91385i | ||||
\(209\) | 80.1860i | 0.383665i | ||||||||
\(210\) | 21.4582 | − | 85.0298i | 0.102182 | − | 0.404904i | ||||
\(211\) | −111.432 | + | 269.022i | −0.528116 | + | 1.27498i | 0.404640 | + | 0.914476i | \(0.367397\pi\) |
−0.932756 | + | 0.360508i | \(0.882603\pi\) | |||||||
\(212\) | −17.8107 | − | 1.81761i | −0.0840128 | − | 0.00857363i | ||||
\(213\) | −77.5747 | − | 187.282i | −0.364200 | − | 0.879258i | ||||
\(214\) | 265.846 | + | 197.892i | 1.24227 | + | 0.924729i | ||||
\(215\) | 132.650 | − | 132.650i | 0.616977 | − | 0.616977i | ||||
\(216\) | −17.5742 | − | 37.6716i | −0.0813621 | − | 0.174405i | ||||
\(217\) | 66.7680 | − | 66.7680i | 0.307687 | − | 0.307687i | ||||
\(218\) | −48.0092 | − | 327.629i | −0.220226 | − | 1.50288i | ||||
\(219\) | 6.37511 | + | 15.3909i | 0.0291101 | + | 0.0702780i | ||||
\(220\) | −114.877 | − | 383.560i | −0.522167 | − | 1.74345i | ||||
\(221\) | 249.152 | − | 601.506i | 1.12738 | − | 2.72175i | ||||
\(222\) | 67.1982 | + | 112.563i | 0.302695 | + | 0.507040i | ||||
\(223\) | − | 303.282i | − | 1.36001i | −0.733208 | − | 0.680005i | \(-0.761978\pi\) | ||
0.733208 | − | 0.680005i | \(-0.238022\pi\) | |||||||
\(224\) | 100.853 | − | 35.0864i | 0.450236 | − | 0.156636i | ||||
\(225\) | 97.6641 | 0.434063 | ||||||||
\(226\) | −135.591 | + | 80.9454i | −0.599958 | + | 0.358165i | ||||
\(227\) | −345.922 | − | 143.286i | −1.52389 | − | 0.631214i | −0.545520 | − | 0.838098i | \(-0.683668\pi\) |
−0.978365 | + | 0.206884i | \(0.933668\pi\) | |||||||
\(228\) | −12.0803 | − | 40.3347i | −0.0529839 | − | 0.176907i | ||||
\(229\) | −115.129 | + | 47.6879i | −0.502746 | + | 0.208244i | −0.619619 | − | 0.784903i | \(-0.712713\pi\) |
0.116873 | + | 0.993147i | \(0.462713\pi\) | |||||||
\(230\) | 492.685 | − | 72.1957i | 2.14211 | − | 0.313894i | ||||
\(231\) | 53.9236 | + | 53.9236i | 0.233436 | + | 0.233436i | ||||
\(232\) | 8.25320 | − | 22.6873i | 0.0355741 | − | 0.0977900i | ||||
\(233\) | 23.5752 | + | 23.5752i | 0.101181 | + | 0.101181i | 0.755885 | − | 0.654704i | \(-0.227207\pi\) |
−0.654704 | + | 0.755885i | \(0.727207\pi\) | |||||||
\(234\) | −90.7586 | + | 121.924i | −0.387857 | + | 0.521043i | ||||
\(235\) | 79.0952 | − | 32.7623i | 0.336575 | − | 0.139414i | ||||
\(236\) | −149.374 | − | 15.2438i | −0.632939 | − | 0.0645924i | ||||
\(237\) | −93.8149 | − | 38.8594i | −0.395844 | − | 0.163964i | ||||
\(238\) | 166.309 | + | 41.9699i | 0.698778 | + | 0.176344i | ||||
\(239\) | −381.999 | −1.59832 | −0.799161 | − | 0.601118i | \(-0.794722\pi\) | ||||
−0.799161 | + | 0.601118i | \(0.794722\pi\) | |||||||
\(240\) | 115.569 | + | 175.630i | 0.481539 | + | 0.731790i | ||||
\(241\) | − | 262.698i | − | 1.09003i | −0.838425 | − | 0.545017i | \(-0.816523\pi\) | ||
0.838425 | − | 0.545017i | \(-0.183477\pi\) | |||||||
\(242\) | 102.952 | + | 25.9809i | 0.425420 | + | 0.107359i | ||||
\(243\) | −5.96544 | + | 14.4019i | −0.0245492 | + | 0.0592669i | ||||
\(244\) | −3.79128 | − | 4.65304i | −0.0155381 | − | 0.0190698i | ||||
\(245\) | 109.930 | + | 265.395i | 0.448695 | + | 1.08324i | ||||
\(246\) | −29.6663 | + | 39.8534i | −0.120595 | + | 0.162006i | ||||
\(247\) | −108.862 | + | 108.862i | −0.440737 | + | 0.440737i | ||||
\(248\) | 9.91209 | + | 226.157i | 0.0399681 | + | 0.911922i | ||||
\(249\) | −22.3857 | + | 22.3857i | −0.0899024 | + | 0.0899024i | ||||
\(250\) | −113.416 | + | 16.6195i | −0.453664 | + | 0.0664779i | ||||
\(251\) | 150.886 | + | 364.271i | 0.601140 | + | 1.45128i | 0.872409 | + | 0.488776i | \(0.162556\pi\) |
−0.271270 | + | 0.962503i | \(0.587444\pi\) | |||||||
\(252\) | −35.2482 | − | 19.0006i | −0.139874 | − | 0.0753991i | ||||
\(253\) | −165.706 | + | 400.050i | −0.654964 | + | 1.58122i | ||||
\(254\) | 3.67136 | − | 2.19175i | 0.0144542 | − | 0.00862892i | ||||
\(255\) | 337.712i | 1.32436i | ||||||||
\(256\) | −101.292 | + | 235.108i | −0.395670 | + | 0.918393i | ||||
\(257\) | 232.141 | 0.903273 | 0.451636 | − | 0.892202i | \(-0.350840\pi\) | ||||
0.451636 | + | 0.892202i | \(0.350840\pi\) | |||||||
\(258\) | −43.9080 | − | 73.5497i | −0.170186 | − | 0.285076i | ||||
\(259\) | 116.670 | + | 48.3263i | 0.450463 | + | 0.186588i | ||||
\(260\) | 364.769 | − | 676.687i | 1.40296 | − | 2.60264i | ||||
\(261\) | −8.36406 | + | 3.46451i | −0.0320462 | + | 0.0132740i | ||||
\(262\) | 8.11215 | + | 55.3597i | 0.0309624 | + | 0.211297i | ||||
\(263\) | −51.8767 | − | 51.8767i | −0.197250 | − | 0.197250i | 0.601570 | − | 0.798820i | \(-0.294542\pi\) |
−0.798820 | + | 0.601570i | \(0.794542\pi\) | |||||||
\(264\) | −182.650 | + | 8.00527i | −0.691857 | + | 0.0303230i | ||||
\(265\) | −24.0102 | − | 24.0102i | −0.0906047 | − | 0.0906047i | ||||
\(266\) | −32.5348 | − | 24.2185i | −0.122311 | − | 0.0910468i | ||||
\(267\) | 193.835 | − | 80.2892i | 0.725975 | − | 0.300709i | ||||
\(268\) | −9.68906 | + | 7.89462i | −0.0361532 | + | 0.0294575i | ||||
\(269\) | 157.161 | + | 65.0980i | 0.584240 | + | 0.242000i | 0.655170 | − | 0.755481i | \(-0.272597\pi\) |
−0.0709304 | + | 0.997481i | \(0.522597\pi\) | |||||||
\(270\) | 19.2916 | − | 76.4444i | 0.0714502 | − | 0.283127i | ||||
\(271\) | 312.143 | 1.15182 | 0.575910 | − | 0.817513i | \(-0.304648\pi\) | ||||
0.575910 | + | 0.817513i | \(0.304648\pi\) | |||||||
\(272\) | −343.512 | + | 226.041i | −1.26291 | + | 0.831034i | ||||
\(273\) | 146.415i | 0.536320i | ||||||||
\(274\) | 76.1871 | − | 301.897i | 0.278055 | − | 1.10182i | ||||
\(275\) | 164.377 | − | 396.840i | 0.597733 | − | 1.44306i | ||||
\(276\) | 23.0835 | − | 226.195i | 0.0836360 | − | 0.819547i | ||||
\(277\) | −118.178 | − | 285.308i | −0.426636 | − | 1.02999i | −0.980347 | − | 0.197282i | \(-0.936789\pi\) |
0.553710 | − | 0.832709i | \(-0.313211\pi\) | |||||||
\(278\) | −50.3468 | − | 37.4775i | −0.181104 | − | 0.134811i | ||||
\(279\) | 60.0264 | − | 60.0264i | 0.215148 | − | 0.215148i | ||||
\(280\) | 190.322 | + | 69.2356i | 0.679723 | + | 0.247270i | ||||
\(281\) | 97.5918 | − | 97.5918i | 0.347302 | − | 0.347302i | −0.511802 | − | 0.859104i | \(-0.671022\pi\) |
0.859104 | + | 0.511802i | \(0.171022\pi\) | |||||||
\(282\) | −5.66779 | − | 38.6787i | −0.0200986 | − | 0.137158i | ||||
\(283\) | 18.5403 | + | 44.7603i | 0.0655135 | + | 0.158164i | 0.953245 | − | 0.302197i | \(-0.0977201\pi\) |
−0.887732 | + | 0.460361i | \(0.847720\pi\) | |||||||
\(284\) | 448.462 | − | 134.315i | 1.57909 | − | 0.472941i | ||||
\(285\) | 30.5600 | − | 73.7783i | 0.107228 | − | 0.258871i | ||||
\(286\) | 342.662 | + | 573.989i | 1.19812 | + | 2.00695i | ||||
\(287\) | 47.8589i | 0.166756i | ||||||||
\(288\) | 90.6697 | − | 31.5437i | 0.314825 | − | 0.109527i | ||||
\(289\) | −371.528 | −1.28556 | ||||||||
\(290\) | 39.3150 | − | 23.4704i | 0.135569 | − | 0.0809325i | ||||
\(291\) | 30.6499 | + | 12.6956i | 0.105326 | + | 0.0436275i | ||||
\(292\) | −36.8548 | + | 11.0381i | −0.126215 | + | 0.0378016i | ||||
\(293\) | 161.620 | − | 66.9453i | 0.551605 | − | 0.228482i | −0.0894312 | − | 0.995993i | \(-0.528505\pi\) |
0.641036 | + | 0.767511i | \(0.278505\pi\) | |||||||
\(294\) | 129.782 | − | 19.0176i | 0.441435 | − | 0.0646858i | ||||
\(295\) | −201.367 | − | 201.367i | −0.682602 | − | 0.682602i | ||||
\(296\) | −274.365 | + | 127.994i | −0.926908 | + | 0.432413i | ||||
\(297\) | 48.4790 | + | 48.4790i | 0.163229 | + | 0.163229i | ||||
\(298\) | −177.199 | + | 238.047i | −0.594628 | + | 0.798817i | ||||
\(299\) | −768.080 | + | 318.149i | −2.56883 | + | 1.06404i | ||||
\(300\) | −22.8983 | + | 224.380i | −0.0763278 | + | 0.747934i | ||||
\(301\) | −76.2333 | − | 31.5769i | −0.253267 | − | 0.104907i | ||||
\(302\) | −519.472 | − | 131.094i | −1.72011 | − | 0.434087i | ||||
\(303\) | 22.7618 | 0.0751213 | ||||||||
\(304\) | 95.5001 | − | 18.2973i | 0.314145 | − | 0.0601884i | ||||
\(305\) | − | 11.3836i | − | 0.0373233i | ||||||
\(306\) | 149.517 | + | 37.7322i | 0.488617 | + | 0.123308i | ||||
\(307\) | −105.523 | + | 254.755i | −0.343724 | + | 0.829822i | 0.653609 | + | 0.756832i | \(0.273254\pi\) |
−0.997333 | + | 0.0729899i | \(0.976746\pi\) | |||||||
\(308\) | −136.531 | + | 111.245i | −0.443282 | + | 0.361185i | ||||
\(309\) | −2.28588 | − | 5.51861i | −0.00739768 | − | 0.0178596i | ||||
\(310\) | −256.368 | + | 344.402i | −0.826993 | + | 1.11097i | ||||
\(311\) | −43.9499 | + | 43.9499i | −0.141318 | + | 0.141318i | −0.774227 | − | 0.632909i | \(-0.781861\pi\) |
0.632909 | + | 0.774227i | \(0.281861\pi\) | |||||||
\(312\) | −258.837 | − | 237.101i | −0.829607 | − | 0.759940i | ||||
\(313\) | −121.839 | + | 121.839i | −0.389261 | + | 0.389261i | −0.874424 | − | 0.485163i | \(-0.838760\pi\) |
0.485163 | + | 0.874424i | \(0.338760\pi\) | |||||||
\(314\) | 422.074 | − | 61.8488i | 1.34419 | − | 0.196971i | ||||
\(315\) | −29.0635 | − | 70.1656i | −0.0922652 | − | 0.222748i | ||||
\(316\) | 111.274 | − | 206.426i | 0.352133 | − | 0.653246i | ||||
\(317\) | 1.63885 | − | 3.95654i | 0.00516988 | − | 0.0124812i | −0.921274 | − | 0.388915i | \(-0.872850\pi\) |
0.926443 | + | 0.376434i | \(0.122850\pi\) | |||||||
\(318\) | −13.3128 | + | 7.94753i | −0.0418642 | + | 0.0249922i | ||||
\(319\) | 39.8168i | 0.124818i | ||||||||
\(320\) | −430.600 | + | 224.339i | −1.34562 | + | 0.701059i | ||||
\(321\) | 287.013 | 0.894122 | ||||||||
\(322\) | −112.269 | − | 188.060i | −0.348661 | − | 0.584038i | ||||
\(323\) | 144.302 | + | 59.7720i | 0.446756 | + | 0.185053i | ||||
\(324\) | −31.6892 | − | 17.0821i | −0.0978060 | − | 0.0527225i | ||||
\(325\) | 761.918 | − | 315.597i | 2.34436 | − | 0.971067i | ||||
\(326\) | −49.8193 | − | 339.982i | −0.152820 | − | 1.04289i | ||||
\(327\) | −202.773 | − | 202.773i | −0.620102 | − | 0.620102i | ||||
\(328\) | −84.6063 | − | 77.5014i | −0.257946 | − | 0.236285i | ||||
\(329\) | −26.6273 | − | 26.6273i | −0.0809339 | − | 0.0809339i | ||||
\(330\) | −278.148 | − | 207.050i | −0.842874 | − | 0.627423i | ||||
\(331\) | −481.638 | + | 199.501i | −1.45510 | + | 0.602722i | −0.963406 | − | 0.268046i | \(-0.913622\pi\) |
−0.491694 | + | 0.870768i | \(0.663622\pi\) | |||||||
\(332\) | −46.1819 | − | 56.6790i | −0.139102 | − | 0.170720i | ||||
\(333\) | 104.890 | + | 43.4468i | 0.314984 | + | 0.130471i | ||||
\(334\) | −28.7516 | + | 113.930i | −0.0860825 | + | 0.341109i | ||||
\(335\) | −23.7042 | −0.0707588 | ||||||||
\(336\) | 51.9175 | − | 76.5267i | 0.154516 | − | 0.227758i | ||||
\(337\) | 321.444i | 0.953840i | 0.878947 | + | 0.476920i | \(0.158247\pi\) | ||||
−0.878947 | + | 0.476920i | \(0.841753\pi\) | |||||||
\(338\) | −231.348 | + | 916.736i | −0.684462 | + | 2.71224i | ||||
\(339\) | −52.3350 | + | 126.348i | −0.154380 | + | 0.372707i | ||||
\(340\) | −775.883 | − | 79.1801i | −2.28201 | − | 0.232883i | ||||
\(341\) | −142.877 | − | 344.936i | −0.418994 | − | 1.01154i | ||||
\(342\) | −29.2498 | − | 21.7731i | −0.0855257 | − | 0.0636641i | ||||
\(343\) | 204.963 | − | 204.963i | 0.597561 | − | 0.597561i | ||||
\(344\) | 179.273 | − | 83.6327i | 0.521142 | − | 0.243118i | ||||
\(345\) | 304.928 | − | 304.928i | 0.883851 | − | 0.883851i | ||||
\(346\) | 28.5958 | + | 195.146i | 0.0826469 | + | 0.564006i | ||||
\(347\) | −19.7482 | − | 47.6765i | −0.0569113 | − | 0.137396i | 0.892866 | − | 0.450322i | \(-0.148691\pi\) |
−0.949778 | + | 0.312926i | \(0.898691\pi\) | |||||||
\(348\) | −5.99855 | − | 20.0284i | −0.0172372 | − | 0.0575530i | ||||
\(349\) | −67.7422 | + | 163.544i | −0.194104 | + | 0.468608i | −0.990727 | − | 0.135868i | \(-0.956618\pi\) |
0.796623 | + | 0.604476i | \(0.206618\pi\) | |||||||
\(350\) | 111.368 | + | 186.551i | 0.318195 | + | 0.533004i | ||||
\(351\) | 131.632i | 0.375020i | ||||||||
\(352\) | 24.4324 | − | 421.510i | 0.0694101 | − | 1.19747i | ||||
\(353\) | 325.836 | 0.923047 | 0.461524 | − | 0.887128i | \(-0.347303\pi\) | ||||
0.461524 | + | 0.887128i | \(0.347303\pi\) | |||||||
\(354\) | −111.651 | + | 66.6538i | −0.315398 | + | 0.188288i | ||||
\(355\) | 820.305 | + | 339.782i | 2.31072 | + | 0.957131i | ||||
\(356\) | 139.015 | + | 464.155i | 0.390492 | + | 1.30381i | ||||
\(357\) | 137.236 | − | 56.8451i | 0.384415 | − | 0.159230i | ||||
\(358\) | −650.184 | + | 95.2750i | −1.81616 | + | 0.266131i | ||||
\(359\) | 151.423 | + | 151.423i | 0.421790 | + | 0.421790i | 0.885820 | − | 0.464030i | \(-0.153597\pi\) |
−0.464030 | + | 0.885820i | \(0.653597\pi\) | |||||||
\(360\) | 171.105 | + | 62.2449i | 0.475293 | + | 0.172903i | ||||
\(361\) | 229.149 | + | 229.149i | 0.634763 | + | 0.634763i | ||||
\(362\) | 237.892 | − | 319.582i | 0.657161 | − | 0.882823i | ||||
\(363\) | 84.9544 | − | 35.1893i | 0.234034 | − | 0.0969401i | ||||
\(364\) | −336.385 | − | 34.3286i | −0.924134 | − | 0.0943093i | ||||
\(365\) | −67.4129 | − | 27.9233i | −0.184693 | − | 0.0765023i | ||||
\(366\) | −5.03992 | − | 1.27188i | −0.0137703 | − | 0.00347508i | ||||
\(367\) | 169.180 | 0.460980 | 0.230490 | − | 0.973075i | \(-0.425967\pi\) | ||||
0.230490 | + | 0.973075i | \(0.425967\pi\) | |||||||
\(368\) | 514.263 | + | 106.067i | 1.39746 | + | 0.288227i | ||||
\(369\) | 43.0266i | 0.116603i | ||||||||
\(370\) | −556.750 | − | 140.502i | −1.50473 | − | 0.379735i | ||||
\(371\) | −5.71555 | + | 13.7986i | −0.0154058 | + | 0.0371929i | ||||
\(372\) | 123.835 | + | 151.983i | 0.332890 | + | 0.408555i | ||||
\(373\) | 81.3001 | + | 196.276i | 0.217963 | + | 0.526209i | 0.994605 | − | 0.103733i | \(-0.0330787\pi\) |
−0.776642 | + | 0.629942i | \(0.783079\pi\) | |||||||
\(374\) | 404.967 | − | 544.028i | 1.08280 | − | 1.45462i | ||||
\(375\) | −70.1946 | + | 70.1946i | −0.187186 | + | 0.187186i | ||||
\(376\) | 90.1919 | − | 3.95297i | 0.239872 | − | 0.0105132i | ||||
\(377\) | −54.0561 | + | 54.0561i | −0.143385 | + | 0.143385i | ||||
\(378\) | −34.3120 | + | 5.02792i | −0.0907724 | + | 0.0133014i | ||||
\(379\) | −176.519 | − | 426.154i | −0.465749 | − | 1.12442i | −0.966001 | − | 0.258538i | \(-0.916759\pi\) |
0.500252 | − | 0.865880i | \(-0.333241\pi\) | |||||||
\(380\) | 162.338 | + | 87.5086i | 0.427206 | + | 0.230286i | ||||
\(381\) | 1.41707 | − | 3.42110i | 0.00371933 | − | 0.00897927i | ||||
\(382\) | 346.075 | − | 206.601i | 0.905955 | − | 0.540841i | ||||
\(383\) | − | 111.777i | − | 0.291847i | −0.989296 | − | 0.145923i | \(-0.953385\pi\) | ||
0.989296 | − | 0.145923i | \(-0.0466153\pi\) | |||||||
\(384\) | 51.2122 | + | 215.707i | 0.133365 | + | 0.561736i | ||||
\(385\) | −334.021 | −0.867587 | ||||||||
\(386\) | 2.75722 | + | 4.61859i | 0.00714306 | + | 0.0119652i | ||||
\(387\) | −68.5360 | − | 28.3885i | −0.177096 | − | 0.0733554i | ||||
\(388\) | −36.3539 | + | 67.4406i | −0.0936957 | + | 0.173816i | ||||
\(389\) | −345.181 | + | 142.979i | −0.887355 | + | 0.367554i | −0.779345 | − | 0.626595i | \(-0.784448\pi\) |
−0.108010 | + | 0.994150i | \(0.534448\pi\) | |||||||
\(390\) | −96.5249 | − | 658.714i | −0.247500 | − | 1.68901i | ||||
\(391\) | 596.407 | + | 596.407i | 1.52534 | + | 1.52534i | ||||
\(392\) | 13.2637 | + | 302.629i | 0.0338360 | + | 0.772012i | ||||
\(393\) | 34.2628 | + | 34.2628i | 0.0871826 | + | 0.0871826i | ||||
\(394\) | −12.1156 | − | 9.01865i | −0.0307502 | − | 0.0228900i | ||||
\(395\) | 410.915 | − | 170.206i | 1.04029 | − | 0.430902i | ||||
\(396\) | −122.745 | + | 100.013i | −0.309963 | + | 0.252557i | ||||
\(397\) | −507.186 | − | 210.083i | −1.27755 | − | 0.529177i | −0.362296 | − | 0.932063i | \(-0.618007\pi\) |
−0.915250 | + | 0.402886i | \(0.868007\pi\) | |||||||
\(398\) | −123.765 | + | 490.430i | −0.310968 | + | 1.23224i | ||||
\(399\) | −35.1253 | −0.0880333 | ||||||||
\(400\) | −510.138 | − | 105.216i | −1.27534 | − | 0.263041i | ||||
\(401\) | 445.754i | 1.11160i | 0.831314 | + | 0.555802i | \(0.187589\pi\) | ||||
−0.831314 | + | 0.555802i | \(0.812411\pi\) | |||||||
\(402\) | −2.64844 | + | 10.4947i | −0.00658816 | + | 0.0261061i | ||||
\(403\) | 274.318 | − | 662.263i | 0.680691 | − | 1.64333i | ||||
\(404\) | −5.33673 | + | 52.2944i | −0.0132097 | + | 0.129442i | ||||
\(405\) | −26.1290 | − | 63.0810i | −0.0645160 | − | 0.155755i | ||||
\(406\) | −16.1554 | − | 12.0258i | −0.0397915 | − | 0.0296202i | ||||
\(407\) | 353.076 | − | 353.076i | 0.867508 | − | 0.867508i | ||||
\(408\) | −121.744 | + | 334.664i | −0.298393 | + | 0.820254i | ||||
\(409\) | −380.306 | + | 380.306i | −0.929845 | + | 0.929845i | −0.997695 | − | 0.0678508i | \(-0.978386\pi\) |
0.0678508 | + | 0.997695i | \(0.478386\pi\) | |||||||
\(410\) | −31.5511 | − | 215.314i | −0.0769539 | − | 0.525156i | ||||
\(411\) | −103.190 | − | 249.122i | −0.251070 | − | 0.606136i | ||||
\(412\) | 13.2148 | − | 3.95785i | 0.0320747 | − | 0.00960643i | ||||
\(413\) | −47.9348 | + | 115.725i | −0.116065 | + | 0.280205i | ||||
\(414\) | −100.933 | − | 169.072i | −0.243800 | − | 0.408386i | ||||
\(415\) | − | 138.665i | − | 0.334131i | ||||||
\(416\) | 605.420 | − | 539.080i | 1.45534 | − | 1.29587i | ||||
\(417\) | −54.3555 | −0.130349 | ||||||||
\(418\) | −137.701 | + | 82.2052i | −0.329428 | + | 0.196663i | ||||
\(419\) | 130.080 | + | 53.8808i | 0.310453 | + | 0.128594i | 0.532470 | − | 0.846449i | \(-0.321264\pi\) |
−0.222017 | + | 0.975043i | \(0.571264\pi\) | |||||||
\(420\) | 168.017 | − | 50.3215i | 0.400042 | − | 0.119813i | ||||
\(421\) | −127.092 | + | 52.6432i | −0.301881 | + | 0.125043i | −0.528482 | − | 0.848944i | \(-0.677239\pi\) |
0.226601 | + | 0.973988i | \(0.427239\pi\) | |||||||
\(422\) | −576.220 | + | 84.4366i | −1.36545 | + | 0.200087i | ||||
\(423\) | −23.9387 | − | 23.9387i | −0.0565927 | − | 0.0565927i | ||||
\(424\) | −15.1379 | − | 32.4491i | −0.0357025 | − | 0.0765309i | ||||
\(425\) | −591.622 | − | 591.622i | −1.39205 | − | 1.39205i | ||||
\(426\) | 242.085 | − | 325.214i | 0.568274 | − | 0.763414i | ||||
\(427\) | −4.62596 | + | 1.91614i | −0.0108336 | + | 0.00448744i | ||||
\(428\) | −67.2931 | + | 659.403i | −0.157227 | + | 1.54066i | ||||
\(429\) | 534.862 | + | 221.547i | 1.24676 | + | 0.516427i | ||||
\(430\) | 363.786 | + | 91.8053i | 0.846014 | + | 0.213501i | ||||
\(431\) | −331.894 | −0.770055 | −0.385027 | − | 0.922905i | \(-0.625808\pi\) | ||||
−0.385027 | + | 0.922905i | \(0.625808\pi\) | |||||||
\(432\) | 46.6754 | − | 68.7998i | 0.108045 | − | 0.159259i | ||||
\(433\) | − | 806.945i | − | 1.86361i | −0.362955 | − | 0.931807i | \(-0.618232\pi\) | ||
0.362955 | − | 0.931807i | \(-0.381768\pi\) | |||||||
\(434\) | 183.108 | + | 46.2092i | 0.421907 | + | 0.106473i | ||||
\(435\) | 15.1747 | − | 36.6350i | 0.0348844 | − | 0.0842185i | ||||
\(436\) | 513.408 | − | 418.323i | 1.17754 | − | 0.959457i | ||||
\(437\) | −76.3245 | − | 184.264i | −0.174656 | − | 0.421656i | ||||
\(438\) | −19.8946 | + | 26.7262i | −0.0454215 | + | 0.0610187i | ||||
\(439\) | 164.097 | − | 164.097i | 0.373797 | − | 0.373797i | −0.495061 | − | 0.868858i | \(-0.664854\pi\) |
0.868858 | + | 0.495061i | \(0.164854\pi\) | |||||||
\(440\) | 540.905 | − | 590.492i | 1.22933 | − | 1.34203i | ||||
\(441\) | 80.3236 | − | 80.3236i | 0.182140 | − | 0.182140i | ||||
\(442\) | 1288.37 | − | 188.792i | 2.91487 | − | 0.427131i | ||||
\(443\) | −220.439 | − | 532.187i | −0.497606 | − | 1.20133i | −0.950770 | − | 0.309899i | \(-0.899705\pi\) |
0.453164 | − | 0.891427i | \(-0.350295\pi\) | |||||||
\(444\) | −124.410 | + | 230.794i | −0.280203 | + | 0.519807i | ||||
\(445\) | −351.671 | + | 849.009i | −0.790272 | + | 1.90789i | ||||
\(446\) | 520.816 | − | 310.919i | 1.16775 | − | 0.697128i | ||||
\(447\) | 257.001i | 0.574946i | ||||||||
\(448\) | 163.645 | + | 137.221i | 0.365279 | + | 0.306298i | ||||
\(449\) | −543.417 | −1.21028 | −0.605141 | − | 0.796118i | \(-0.706883\pi\) | ||||
−0.605141 | + | 0.796118i | \(0.706883\pi\) | |||||||
\(450\) | 100.123 | + | 167.715i | 0.222496 | + | 0.372701i | ||||
\(451\) | 174.830 | + | 72.4172i | 0.387651 | + | 0.160570i | ||||
\(452\) | −278.010 | − | 149.861i | −0.615065 | − | 0.331552i | ||||
\(453\) | −428.662 | + | 177.558i | −0.946273 | + | 0.391959i | ||||
\(454\) | −108.573 | − | 740.934i | −0.239148 | − | 1.63201i | ||||
\(455\) | −453.473 | − | 453.473i | −0.996644 | − | 0.996644i | ||||
\(456\) | 56.8810 | − | 62.0955i | 0.124739 | − | 0.136174i | ||||
\(457\) | −201.086 | − | 201.086i | −0.440013 | − | 0.440013i | 0.452003 | − | 0.892016i | \(-0.350709\pi\) |
−0.892016 | + | 0.452003i | \(0.850709\pi\) | |||||||
\(458\) | −199.921 | − | 148.818i | −0.436508 | − | 0.324930i | ||||
\(459\) | 123.379 | − | 51.1054i | 0.268801 | − | 0.111341i | ||||
\(460\) | 629.070 | + | 772.057i | 1.36754 | + | 1.67839i | ||||
\(461\) | 32.1175 | + | 13.3035i | 0.0696692 | + | 0.0288579i | 0.417246 | − | 0.908794i | \(-0.362995\pi\) |
−0.347577 | + | 0.937652i | \(0.612995\pi\) | |||||||
\(462\) | −37.3198 | + | 147.883i | −0.0807788 | + | 0.320092i | ||||
\(463\) | −41.6305 | −0.0899146 | −0.0449573 | − | 0.998989i | \(-0.514315\pi\) | ||||
−0.0449573 | + | 0.998989i | \(0.514315\pi\) | |||||||
\(464\) | 47.4211 | − | 9.08562i | 0.102201 | − | 0.0195811i | ||||
\(465\) | 371.824i | 0.799621i | ||||||||
\(466\) | −16.3161 | + | 64.6538i | −0.0350131 | + | 0.138742i | ||||
\(467\) | −215.784 | + | 520.948i | −0.462064 | + | 1.11552i | 0.505485 | + | 0.862835i | \(0.331314\pi\) |
−0.967549 | + | 0.252685i | \(0.918686\pi\) | |||||||
\(468\) | −302.420 | − | 30.8624i | −0.646197 | − | 0.0659454i | ||||
\(469\) | 3.98999 | + | 9.63268i | 0.00850744 | + | 0.0205388i | ||||
\(470\) | 137.348 | + | 102.240i | 0.292231 | + | 0.217532i | ||||
\(471\) | 261.227 | − | 261.227i | 0.554622 | − | 0.554622i | ||||
\(472\) | −126.957 | − | 272.142i | −0.268977 | − | 0.576572i | ||||
\(473\) | −230.703 | + | 230.703i | −0.487745 | + | 0.487745i | ||||
\(474\) | −29.4453 | − | 200.943i | −0.0621208 | − | 0.423931i | ||||
\(475\) | 75.7122 | + | 182.785i | 0.159394 | + | 0.384811i | ||||
\(476\) | 98.4234 | + | 328.624i | 0.206772 | + | 0.690386i | ||||
\(477\) | −5.13845 | + | 12.4053i | −0.0107724 | + | 0.0260069i | ||||
\(478\) | −391.618 | − | 655.994i | −0.819284 | − | 1.37237i | ||||
\(479\) | 662.316i | 1.38270i | 0.722518 | + | 0.691352i | \(0.242985\pi\) | ||||
−0.722518 | + | 0.691352i | \(0.757015\pi\) | |||||||
\(480\) | −183.123 | + | 378.515i | −0.381507 | + | 0.788574i | ||||
\(481\) | 958.685 | 1.99311 | ||||||||
\(482\) | 451.123 | − | 269.313i | 0.935939 | − | 0.558741i | ||||
\(483\) | −175.241 | − | 72.5871i | −0.362817 | − | 0.150284i | ||||
\(484\) | 60.9278 | + | 203.430i | 0.125884 | + | 0.420311i | ||||
\(485\) | −134.248 | + | 55.6075i | −0.276801 | + | 0.114655i | ||||
\(486\) | −30.8475 | + | 4.52025i | −0.0634722 | + | 0.00930092i | ||||
\(487\) | −309.360 | − | 309.360i | −0.635236 | − | 0.635236i | 0.314140 | − | 0.949377i | \(-0.398284\pi\) |
−0.949377 | + | 0.314140i | \(0.898284\pi\) | |||||||
\(488\) | 4.10376 | − | 11.2809i | 0.00840934 | − | 0.0231165i | ||||
\(489\) | −210.419 | − | 210.419i | −0.430304 | − | 0.430304i | ||||
\(490\) | −343.056 | + | 460.857i | −0.700113 | + | 0.940525i | ||||
\(491\) | 249.104 | − | 103.182i | 0.507340 | − | 0.210147i | −0.114306 | − | 0.993446i | \(-0.536464\pi\) |
0.621646 | + | 0.783299i | \(0.286464\pi\) | |||||||
\(492\) | −98.8522 | − | 10.0880i | −0.200919 | − | 0.0205041i | ||||
\(493\) | 71.6541 | + | 29.6801i | 0.145343 | + | 0.0602031i | ||||
\(494\) | −298.548 | − | 75.3419i | −0.604349 | − | 0.152514i | ||||
\(495\) | −300.295 | −0.606657 | ||||||||
\(496\) | −378.210 | + | 248.873i | −0.762519 | + | 0.501760i | ||||
\(497\) | − | 390.541i | − | 0.785797i | ||||||
\(498\) | −61.3916 | − | 15.4928i | −0.123276 | − | 0.0311101i | ||||
\(499\) | 203.686 | − | 491.742i | 0.408189 | − | 0.985455i | −0.577425 | − | 0.816444i | \(-0.695942\pi\) |
0.985614 | − | 0.169012i | \(-0.0540575\pi\) | |||||||
\(500\) | −144.812 | − | 177.728i | −0.289624 | − | 0.355455i | ||||
\(501\) | 38.9419 | + | 94.0139i | 0.0777282 | + | 0.187653i | ||||
\(502\) | −470.865 | + | 632.555i | −0.937978 | + | 1.26007i | ||||
\(503\) | 135.286 | − | 135.286i | 0.268959 | − | 0.268959i | −0.559722 | − | 0.828681i | \(-0.689092\pi\) |
0.828681 | + | 0.559722i | \(0.189092\pi\) | |||||||
\(504\) | −3.50669 | − | 80.0095i | −0.00695772 | − | 0.158749i | ||||
\(505\) | −70.4970 | + | 70.4970i | −0.139598 | + | 0.139598i | ||||
\(506\) | −856.870 | + | 125.562i | −1.69342 | + | 0.248146i | ||||
\(507\) | 313.344 | + | 756.480i | 0.618036 | + | 1.49207i | ||||
\(508\) | 7.52762 | + | 4.05778i | 0.0148182 | + | 0.00798775i | ||||
\(509\) | −294.504 | + | 710.995i | −0.578593 | + | 1.39685i | 0.315483 | + | 0.948931i | \(0.397833\pi\) |
−0.894076 | + | 0.447915i | \(0.852167\pi\) | |||||||
\(510\) | −579.942 | + | 346.216i | −1.13714 | + | 0.678855i | ||||
\(511\) | 32.0948i | 0.0628078i | ||||||||
\(512\) | −507.586 | + | 67.0839i | −0.991379 | + | 0.131023i | ||||
\(513\) | −31.5787 | −0.0615569 | ||||||||
\(514\) | 237.987 | + | 398.648i | 0.463009 | + | 0.775580i | ||||
\(515\) | 24.1718 | + | 10.0123i | 0.0469356 | + | 0.0194414i | ||||
\(516\) | 81.2908 | − | 150.803i | 0.157540 | − | 0.292255i | ||||
\(517\) | −137.561 | + | 56.9797i | −0.266076 | + | 0.110212i | ||||
\(518\) | 36.6187 | + | 249.897i | 0.0706924 | + | 0.482426i | ||||
\(519\) | 120.778 | + | 120.778i | 0.232714 | + | 0.232714i | ||||
\(520\) | 1536.01 | − | 67.3207i | 2.95386 | − | 0.129463i | ||||
\(521\) | −328.950 | − | 328.950i | −0.631382 | − | 0.631382i | 0.317033 | − | 0.948415i | \(-0.397313\pi\) |
−0.948415 | + | 0.317033i | \(0.897313\pi\) | |||||||
\(522\) | −14.5241 | − | 10.8116i | −0.0278240 | − | 0.0207118i | ||||
\(523\) | 375.998 | − | 155.744i | 0.718926 | − | 0.297789i | 0.00693327 | − | 0.999976i | \(-0.497793\pi\) |
0.711992 | + | 0.702187i | \(0.247793\pi\) | |||||||
\(524\) | −86.7509 | + | 70.6844i | −0.165555 | + | 0.134894i | ||||
\(525\) | 173.835 | + | 72.0047i | 0.331114 | + | 0.137152i | ||||
\(526\) | 35.9032 | − | 142.269i | 0.0682569 | − | 0.270474i | ||||
\(527\) | −727.247 | −1.37998 | ||||||||
\(528\) | −200.997 | − | 305.452i | −0.380676 | − | 0.578508i | ||||
\(529\) | − | 548.020i | − | 1.03596i | ||||||
\(530\) | 16.6171 | − | 65.8468i | 0.0313531 | − | 0.124239i | ||||
\(531\) | −43.0948 | + | 104.040i | −0.0811578 | + | 0.195932i | ||||
\(532\) | 8.23548 | − | 80.6993i | 0.0154802 | − | 0.151690i | ||||
\(533\) | 139.038 | + | 335.668i | 0.260860 | + | 0.629771i | ||||
\(534\) | 336.594 | + | 250.556i | 0.630326 | + | 0.469206i | ||||
\(535\) | −888.928 | + | 888.928i | −1.66155 | + | 1.66155i | ||||
\(536\) | −23.4902 | − | 8.54529i | −0.0438250 | − | 0.0159427i | ||||
\(537\) | −402.407 | + | 402.407i | −0.749361 | + | 0.749361i | ||||
\(538\) | 49.3273 | + | 336.624i | 0.0916864 | + | 0.625695i | ||||
\(539\) | −191.189 | − | 461.571i | −0.354711 | − | 0.856347i | ||||
\(540\) | 151.053 | − | 45.2406i | 0.279727 | − | 0.0837788i | ||||
\(541\) | −180.025 | + | 434.619i | −0.332764 | + | 0.803362i | 0.665607 | + | 0.746302i | \(0.268173\pi\) |
−0.998371 | + | 0.0570600i | \(0.981827\pi\) | |||||||
\(542\) | 320.003 | + | 536.033i | 0.590411 | + | 0.988990i | ||||
\(543\) | − | 345.028i | − | 0.635410i | ||||||
\(544\) | −740.335 | − | 358.169i | −1.36091 | − | 0.658399i | ||||
\(545\) | 1256.05 | 2.30467 | ||||||||
\(546\) | −251.434 | + | 150.102i | −0.460502 | + | 0.274913i | ||||
\(547\) | 842.270 | + | 348.880i | 1.53980 | + | 0.637805i | 0.981436 | − | 0.191791i | \(-0.0614297\pi\) |
0.558363 | + | 0.829597i | \(0.311430\pi\) | |||||||
\(548\) | 596.544 | − | 178.666i | 1.08858 | − | 0.326033i | ||||
\(549\) | −4.15888 | + | 1.72266i | −0.00757537 | + | 0.00313782i | ||||
\(550\) | 849.996 | − | 124.554i | 1.54545 | − | 0.226463i | ||||
\(551\) | −12.9681 | − | 12.9681i | −0.0235356 | − | 0.0235356i | ||||
\(552\) | 412.102 | − | 192.250i | 0.746561 | − | 0.348279i | ||||
\(553\) | −138.334 | − | 138.334i | −0.250151 | − | 0.250151i | ||||
\(554\) | 368.795 | − | 495.435i | 0.665695 | − | 0.894288i | ||||
\(555\) | −459.423 | + | 190.299i | −0.827790 | + | 0.342882i | ||||
\(556\) | 12.7442 | − | 124.880i | 0.0229212 | − | 0.224605i | ||||
\(557\) | 838.978 | + | 347.516i | 1.50624 | + | 0.623907i | 0.974779 | − | 0.223173i | \(-0.0716415\pi\) |
0.531465 | + | 0.847080i | \(0.321642\pi\) | |||||||
\(558\) | 164.619 | + | 41.5434i | 0.295017 | + | 0.0744506i | ||||
\(559\) | −626.414 | −1.12060 | ||||||||
\(560\) | 76.2187 | + | 397.813i | 0.136105 | + | 0.710381i | ||||
\(561\) | − | 587.344i | − | 1.04696i | ||||||
\(562\) | 267.640 | + | 67.5419i | 0.476229 | + | 0.120181i | ||||
\(563\) | −10.7574 | + | 25.9706i | −0.0191073 | + | 0.0461290i | −0.933145 | − | 0.359500i | \(-0.882947\pi\) |
0.914038 | + | 0.405629i | \(0.132947\pi\) | |||||||
\(564\) | 60.6111 | − | 49.3857i | 0.107466 | − | 0.0875634i | ||||
\(565\) | −229.230 | − | 553.410i | −0.405717 | − | 0.979487i | ||||
\(566\) | −57.8582 | + | 77.7261i | −0.102223 | + | 0.137325i | ||||
\(567\) | −21.2361 | + | 21.2361i | −0.0374534 | + | 0.0374534i | ||||
\(568\) | 690.410 | + | 632.432i | 1.21551 | + | 1.11344i | ||||
\(569\) | 319.628 | − | 319.628i | 0.561736 | − | 0.561736i | −0.368064 | − | 0.929800i | \(-0.619979\pi\) |
0.929800 | + | 0.368064i | \(0.119979\pi\) | |||||||
\(570\) | 158.026 | − | 23.1565i | 0.277239 | − | 0.0406254i | ||||
\(571\) | −249.558 | − | 602.487i | −0.437055 | − | 1.05514i | −0.976961 | − | 0.213418i | \(-0.931540\pi\) |
0.539906 | − | 0.841725i | \(-0.318460\pi\) | |||||||
\(572\) | −634.401 | + | 1176.88i | −1.10909 | + | 2.05749i | ||||
\(573\) | 133.577 | − | 322.484i | 0.233119 | − | 0.562799i | ||||
\(574\) | −82.1864 | + | 49.0640i | −0.143182 | + | 0.0854773i | ||||
\(575\) | 1068.38i | 1.85805i | ||||||||
\(576\) | 147.122 | + | 123.366i | 0.255420 | + | 0.214177i | ||||
\(577\) | −618.173 | −1.07136 | −0.535678 | − | 0.844422i | \(-0.679944\pi\) | ||||
−0.535678 | + | 0.844422i | \(0.679944\pi\) | |||||||
\(578\) | −380.884 | − | 638.013i | −0.658968 | − | 1.10383i | ||||
\(579\) | 4.30375 | + | 1.78267i | 0.00743308 | + | 0.00307888i | ||||
\(580\) | 80.6100 | + | 43.4529i | 0.138983 | + | 0.0749188i | ||||
\(581\) | −56.3491 | + | 23.3406i | −0.0969865 | + | 0.0401731i | ||||
\(582\) | 9.61995 | + | 65.6493i | 0.0165291 | + | 0.112800i | ||||
\(583\) | 41.7583 | + | 41.7583i | 0.0716265 | + | 0.0716265i | ||||
\(584\) | −56.7381 | − | 51.9734i | −0.0971543 | − | 0.0889956i | ||||
\(585\) | −407.686 | − | 407.686i | −0.696899 | − | 0.696899i | ||||
\(586\) | 280.653 | + | 208.914i | 0.478930 | + | 0.356509i | ||||
\(587\) | 917.045 | − | 379.852i | 1.56226 | − | 0.647108i | 0.576777 | − | 0.816901i | \(-0.304310\pi\) |
0.985480 | + | 0.169793i | \(0.0543101\pi\) | |||||||
\(588\) | 165.708 | + | 203.374i | 0.281817 | + | 0.345873i | ||||
\(589\) | 158.878 | + | 65.8094i | 0.269742 | + | 0.111731i | ||||
\(590\) | 139.364 | − | 552.240i | 0.236209 | − | 0.935999i | ||||
\(591\) | −13.0802 | −0.0221324 | ||||||||
\(592\) | −501.074 | − | 339.940i | −0.846408 | − | 0.574224i | ||||
\(593\) | − | 304.459i | − | 0.513421i | −0.966488 | − | 0.256711i | \(-0.917361\pi\) | ||
0.966488 | − | 0.256711i | \(-0.0826387\pi\) | |||||||
\(594\) | −33.5516 | + | 132.951i | −0.0564842 | + | 0.223823i | ||||
\(595\) | −248.985 | + | 601.102i | −0.418462 | + | 1.01026i | ||||
\(596\) | −590.452 | − | 60.2565i | −0.990691 | − | 0.101102i | ||||
\(597\) | 167.631 | + | 404.696i | 0.280789 | + | 0.677884i | ||||
\(598\) | −1333.77 | − | 992.838i | −2.23038 | − | 1.66026i | ||||
\(599\) | −277.512 | + | 277.512i | −0.463293 | + | 0.463293i | −0.899733 | − | 0.436441i | \(-0.856239\pi\) |
0.436441 | + | 0.899733i | \(0.356239\pi\) | |||||||
\(600\) | −408.796 | + | 190.708i | −0.681326 | + | 0.317846i | ||||
\(601\) | −239.556 | + | 239.556i | −0.398596 | + | 0.398596i | −0.877738 | − | 0.479141i | \(-0.840948\pi\) |
0.479141 | + | 0.877738i | \(0.340948\pi\) | |||||||
\(602\) | −23.9270 | − | 163.285i | −0.0397459 | − | 0.271237i | ||||
\(603\) | 3.58712 | + | 8.66007i | 0.00594879 | + | 0.0143616i | ||||
\(604\) | −307.429 | − | 1026.47i | −0.508988 | − | 1.69945i | ||||
\(605\) | −154.131 | + | 372.105i | −0.254762 | + | 0.615050i | ||||
\(606\) | 23.3349 | + | 39.0880i | 0.0385065 | + | 0.0645017i | ||||
\(607\) | − | 596.668i | − | 0.982978i | −0.870884 | − | 0.491489i | \(-0.836453\pi\) | ||
0.870884 | − | 0.491489i | \(-0.163547\pi\) | |||||||
\(608\) | 129.326 | + | 145.241i | 0.212708 | + | 0.238883i | ||||
\(609\) | −17.4417 | −0.0286398 | ||||||||
\(610\) | 19.5487 | − | 11.6703i | 0.0320470 | − | 0.0191316i | ||||
\(611\) | −264.112 | − | 109.399i | −0.432263 | − | 0.179049i | ||||
\(612\) | 88.4856 | + | 295.443i | 0.144584 | + | 0.482749i | ||||
\(613\) | 582.048 | − | 241.092i | 0.949507 | − | 0.393299i | 0.146462 | − | 0.989216i | \(-0.453211\pi\) |
0.803046 | + | 0.595917i | \(0.203211\pi\) | |||||||
\(614\) | −545.663 | + | 79.9590i | −0.888702 | + | 0.130226i | ||||
\(615\) | −133.260 | − | 133.260i | −0.216684 | − | 0.216684i | ||||
\(616\) | −331.006 | − | 120.414i | −0.537347 | − | 0.195477i | ||||
\(617\) | 650.951 | + | 650.951i | 1.05503 | + | 1.05503i | 0.998395 | + | 0.0566309i | \(0.0180358\pi\) |
0.0566309 | + | 0.998395i | \(0.481964\pi\) | |||||||
\(618\) | 7.13348 | − | 9.58304i | 0.0115428 | − | 0.0155065i | ||||
\(619\) | 279.093 | − | 115.604i | 0.450878 | − | 0.186760i | −0.145677 | − | 0.989332i | \(-0.546536\pi\) |
0.596554 | + | 0.802573i | \(0.296536\pi\) | |||||||
\(620\) | −854.254 | − | 87.1779i | −1.37783 | − | 0.140609i | ||||
\(621\) | −157.547 | − | 65.2580i | −0.253698 | − | 0.105085i | ||||
\(622\) | −120.530 | − | 30.4171i | −0.193779 | − | 0.0489021i | ||||
\(623\) | 404.207 | 0.648807 | ||||||||
\(624\) | 141.811 | − | 687.565i | 0.227261 | − | 1.10187i | ||||
\(625\) | 379.059i | 0.606494i | ||||||||
\(626\) | −334.136 | − | 84.3229i | −0.533764 | − | 0.134701i | ||||
\(627\) | −53.1495 | + | 128.314i | −0.0847679 | + | 0.204648i | ||||
\(628\) | 538.913 | + | 661.408i | 0.858142 | + | 1.05320i | ||||
\(629\) | −372.205 | − | 898.582i | −0.591741 | − | 1.42859i | ||||
\(630\) | 90.6976 | − | 121.842i | 0.143964 | − | 0.193400i | ||||
\(631\) | 761.197 | − | 761.197i | 1.20633 | − | 1.20633i | 0.234128 | − | 0.972206i | \(-0.424777\pi\) |
0.972206 | − | 0.234128i | \(-0.0752234\pi\) | |||||||
\(632\) | 468.564 | − | 20.5364i | 0.741399 | − | 0.0324943i | ||||
\(633\) | −356.630 | + | 356.630i | −0.563396 | + | 0.563396i | ||||
\(634\) | 8.47455 | − | 1.24182i | 0.0133668 | − | 0.00195871i | ||||
\(635\) | 6.20683 | + | 14.9846i | 0.00977454 | + | 0.0235978i | ||||
\(636\) | −27.2961 | − | 14.7140i | −0.0429183 | − | 0.0231352i | ||||
\(637\) | 367.076 | − | 886.199i | 0.576257 | − | 1.39121i | ||||
\(638\) | −68.3761 | + | 40.8195i | −0.107173 | + | 0.0639803i | ||||
\(639\) | − | 351.108i | − | 0.549465i | ||||||
\(640\) | −826.692 | − | 509.466i | −1.29171 | − | 0.796041i | ||||
\(641\) | 19.6688 | 0.0306845 | 0.0153422 | − | 0.999882i | \(-0.495116\pi\) | ||||
0.0153422 | + | 0.999882i | \(0.495116\pi\) | |||||||
\(642\) | 294.240 | + | 492.878i | 0.458318 | + | 0.767723i | ||||
\(643\) | 361.198 | + | 149.613i | 0.561739 | + | 0.232680i | 0.645440 | − | 0.763811i | \(-0.276674\pi\) |
−0.0837010 | + | 0.996491i | \(0.526674\pi\) | |||||||
\(644\) | 207.853 | − | 385.591i | 0.322754 | − | 0.598744i | ||||
\(645\) | 300.192 | − | 124.343i | 0.465413 | − | 0.192781i | ||||
\(646\) | 45.2915 | + | 309.083i | 0.0701107 | + | 0.478456i | ||||
\(647\) | 322.306 | + | 322.306i | 0.498154 | + | 0.498154i | 0.910863 | − | 0.412709i | \(-0.135417\pi\) |
−0.412709 | + | 0.910863i | \(0.635417\pi\) | |||||||
\(648\) | −3.15262 | − | 71.9309i | −0.00486515 | − | 0.111005i | ||||
\(649\) | 350.215 | + | 350.215i | 0.539623 | + | 0.539623i | ||||
\(650\) | 1323.07 | + | 984.873i | 2.03549 | + | 1.51519i | ||||
\(651\) | 151.098 | − | 62.5869i | 0.232102 | − | 0.0961397i | ||||
\(652\) | 532.765 | − | 434.096i | 0.817124 | − | 0.665791i | ||||
\(653\) | −268.367 | − | 111.161i | −0.410976 | − | 0.170232i | 0.167610 | − | 0.985853i | \(-0.446395\pi\) |
−0.578586 | + | 0.815622i | \(0.696395\pi\) | |||||||
\(654\) | 140.337 | − | 556.095i | 0.214582 | − | 0.850299i | ||||
\(655\) | −212.235 | −0.324023 | ||||||||
\(656\) | 46.3538 | − | 224.744i | 0.0706613 | − | 0.342598i | ||||
\(657\) | 28.8542i | 0.0439181i | ||||||||
\(658\) | 18.4283 | − | 73.0238i | 0.0280066 | − | 0.110978i | ||||
\(659\) | −51.5747 | + | 124.512i | −0.0782621 | + | 0.188941i | −0.958168 | − | 0.286207i | \(-0.907606\pi\) |
0.879906 | + | 0.475148i | \(0.157606\pi\) | |||||||
\(660\) | 70.4072 | − | 689.918i | 0.106678 | − | 1.04533i | ||||
\(661\) | 46.4357 | + | 112.106i | 0.0702507 | + | 0.169600i | 0.955105 | − | 0.296268i | \(-0.0957421\pi\) |
−0.884854 | + | 0.465868i | \(0.845742\pi\) | |||||||
\(662\) | −836.362 | − | 622.576i | −1.26339 | − | 0.940448i | ||||
\(663\) | 797.389 | − | 797.389i | 1.20270 | − | 1.20270i | ||||
\(664\) | 49.9881 | − | 137.413i | 0.0752834 | − | 0.206947i | ||||
\(665\) | 108.789 | − | 108.789i | 0.163592 | − | 0.163592i | ||||
\(666\) | 32.9213 | + | 224.665i | 0.0494314 | + | 0.337334i | ||||
\(667\) | −37.8994 | − | 91.4972i | −0.0568206 | − | 0.137177i | ||||
\(668\) | −225.124 | + | 67.4252i | −0.337013 | + | 0.100936i | ||||
\(669\) | 201.024 | − | 485.314i | 0.300484 | − | 0.725432i | ||||
\(670\) | −24.3011 | − | 40.7064i | −0.0362703 | − | 0.0607559i | ||||
\(671\) | 19.7982i | 0.0295055i | ||||||||
\(672\) | 184.642 | + | 10.7025i | 0.274764 | + | 0.0159264i | ||||
\(673\) | 744.919 | 1.10686 | 0.553432 | − | 0.832895i | \(-0.313318\pi\) | ||||
0.553432 | + | 0.832895i | \(0.313318\pi\) | |||||||
\(674\) | −552.005 | + | 329.538i | −0.818999 | + | 0.488929i | ||||
\(675\) | 156.283 | + | 64.7344i | 0.231530 | + | 0.0959029i | ||||
\(676\) | −1811.45 | + | 542.534i | −2.67967 | + | 0.802565i | ||||
\(677\) | 433.679 | − | 179.636i | 0.640589 | − | 0.265341i | −0.0386554 | − | 0.999253i | \(-0.512307\pi\) |
0.679245 | + | 0.733912i | \(0.262307\pi\) | |||||||
\(678\) | −270.626 | + | 39.6562i | −0.399153 | + | 0.0584900i | ||||
\(679\) | 45.1945 | + | 45.1945i | 0.0665603 | + | 0.0665603i | ||||
\(680\) | −659.447 | − | 1413.57i | −0.969775 | − | 2.07878i | ||||
\(681\) | −458.573 | − | 458.573i | −0.673382 | − | 0.673382i | ||||
\(682\) | 445.872 | − | 598.979i | 0.653771 | − | 0.878269i | ||||
\(683\) | 175.528 | − | 72.7059i | 0.256995 | − | 0.106451i | −0.250466 | − | 0.968125i | \(-0.580584\pi\) |
0.507461 | + | 0.861674i | \(0.330584\pi\) | |||||||
\(684\) | 7.40394 | − | 72.5510i | 0.0108245 | − | 0.106069i | ||||
\(685\) | 1091.17 | + | 451.977i | 1.59295 | + | 0.659820i | ||||
\(686\) | 562.101 | + | 141.852i | 0.819390 | + | 0.206782i | ||||
\(687\) | −215.839 | −0.314176 | ||||||||
\(688\) | 327.407 | + | 222.120i | 0.475882 | + | 0.322849i | ||||
\(689\) | 113.384i | 0.164563i | ||||||||
\(690\) | 836.250 | + | 211.037i | 1.21196 | + | 0.305850i | ||||
\(691\) | −489.503 | + | 1181.77i | −0.708399 | + | 1.71023i | −0.00443406 | + | 0.999990i | \(0.501411\pi\) |
−0.703964 | + | 0.710235i | \(0.748589\pi\) | |||||||
\(692\) | −305.802 | + | 249.167i | −0.441911 | + | 0.360068i | ||||
\(693\) | 50.5469 | + | 122.031i | 0.0729392 | + | 0.176091i | ||||
\(694\) | 61.6277 | − | 82.7900i | 0.0888007 | − | 0.119294i | ||||
\(695\) | 168.348 | − | 168.348i | 0.242228 | − | 0.242228i | ||||
\(696\) | 28.2446 | − | 30.8339i | 0.0405813 | − | 0.0443016i | ||||
\(697\) | 260.643 | − | 260.643i | 0.373950 | − | 0.373950i | ||||
\(698\) | −350.297 | + | 51.3309i | −0.501858 | + | 0.0735399i | ||||
\(699\) | 22.0989 | + | 53.3515i | 0.0316151 | + | 0.0763255i | ||||
\(700\) | −206.186 | + | 382.498i | −0.294551 | + | 0.546425i | ||||
\(701\) | 126.775 | − | 306.062i | 0.180849 | − | 0.436607i | −0.807293 | − | 0.590150i | \(-0.799068\pi\) |
0.988142 | + | 0.153543i | \(0.0490685\pi\) | |||||||
\(702\) | −226.047 | + | 134.946i | −0.322004 | + | 0.192231i | ||||
\(703\) | 229.990i | 0.327155i | ||||||||
\(704\) | 748.893 | − | 390.167i | 1.06377 | − | 0.554215i | ||||
\(705\) | 148.284 | 0.210332 | ||||||||
\(706\) | 334.040 | + | 559.547i | 0.473145 | + | 0.792559i | ||||
\(707\) | 40.5142 | + | 16.7815i | 0.0573044 | + | 0.0237363i | ||||
\(708\) | −228.925 | − | 123.402i | −0.323340 | − | 0.174297i | ||||
\(709\) | 384.057 | − | 159.082i | 0.541688 | − | 0.224375i | −0.0950254 | − | 0.995475i | \(-0.530293\pi\) |
0.636714 | + | 0.771100i | \(0.280293\pi\) | |||||||
\(710\) | 257.466 | + | 1757.02i | 0.362628 | + | 2.47468i | ||||
\(711\) | −124.366 | − | 124.366i | −0.174917 | − | 0.174917i | ||||
\(712\) | −654.562 | + | 714.569i | −0.919329 | + | 1.00361i | ||||
\(713\) | 656.649 | + | 656.649i | 0.920966 | + | 0.920966i | ||||
\(714\) | 238.310 | + | 177.395i | 0.333768 | + | 0.248452i | ||||
\(715\) | −2342.73 | + | 970.389i | −3.27654 | + | 1.35719i | ||||
\(716\) | −830.169 | − | 1018.87i | −1.15945 | − | 1.42300i | ||||
\(717\) | −611.277 | − | 253.199i | −0.852548 | − | 0.353137i | ||||
\(718\) | −104.797 | + | 415.268i | −0.145957 | + | 0.578368i | ||||
\(719\) | 597.352 | 0.830810 | 0.415405 | − | 0.909637i | \(-0.363640\pi\) | ||||
0.415405 | + | 0.909637i | \(0.363640\pi\) | |||||||
\(720\) | 68.5229 | + | 357.646i | 0.0951707 | + | 0.496731i | ||||
\(721\) | − | 11.5080i | − | 0.0159612i | ||||||
\(722\) | −158.591 | + | 628.430i | −0.219655 | + | 0.870402i | ||||
\(723\) | 174.123 | − | 420.371i | 0.240835 | − | 0.581426i | ||||
\(724\) | 792.690 | + | 80.8952i | 1.09488 | + | 0.111734i | ||||
\(725\) | 37.5953 | + | 90.7631i | 0.0518556 | + | 0.125191i | ||||
\(726\) | 147.523 | + | 109.814i | 0.203200 | + | 0.151259i | ||||
\(727\) | −890.023 | + | 890.023i | −1.22424 | + | 1.22424i | −0.258131 | + | 0.966110i | \(0.583106\pi\) |
−0.966110 | + | 0.258131i | \(0.916894\pi\) | |||||||
\(728\) | −285.904 | − | 612.855i | −0.392725 | − | 0.841834i | ||||
\(729\) | −19.0919 | + | 19.0919i | −0.0261891 | + | 0.0261891i | ||||
\(730\) | −21.1586 | − | 144.392i | −0.0289844 | − | 0.197798i | ||||
\(731\) | 243.202 | + | 587.142i | 0.332698 | + | 0.803204i | ||||
\(732\) | −2.98268 | − | 9.95879i | −0.00407469 | − | 0.0136049i | ||||
\(733\) | 265.446 | − | 640.844i | 0.362137 | − | 0.874276i | −0.632850 | − | 0.774274i | \(-0.718115\pi\) |
0.994987 | − | 0.100002i | \(-0.0318848\pi\) | |||||||
\(734\) | 173.440 | + | 290.527i | 0.236294 | + | 0.395813i | ||||
\(735\) | 497.551i | 0.676941i | ||||||||
\(736\) | 345.067 | + | 991.866i | 0.468841 | + | 1.34764i | ||||
\(737\) | 41.2260 | 0.0559376 | ||||||||
\(738\) | −73.8881 | + | 44.1100i | −0.100119 | + | 0.0597696i | ||||
\(739\) | −1201.59 | − | 497.716i | −1.62597 | − | 0.673499i | −0.631199 | − | 0.775621i | \(-0.717437\pi\) |
−0.994772 | + | 0.102121i | \(0.967437\pi\) | |||||||
\(740\) | −329.490 | − | 1100.13i | −0.445257 | − | 1.48666i | ||||
\(741\) | −246.358 | + | 102.045i | −0.332467 | + | 0.137713i | ||||
\(742\) | −29.5553 | + | 4.33089i | −0.0398319 | + | 0.00583678i | ||||
\(743\) | −212.173 | − | 212.173i | −0.285563 | − | 0.285563i | 0.549760 | − | 0.835323i | \(-0.314719\pi\) |
−0.835323 | + | 0.549760i | \(0.814719\pi\) | |||||||
\(744\) | −134.041 | + | 368.467i | −0.180163 | + | 0.495252i | ||||
\(745\) | −795.976 | − | 795.976i | −1.06842 | − | 1.06842i | ||||
\(746\) | −253.711 | + | 340.832i | −0.340095 | + | 0.456880i | ||||
\(747\) | −50.6596 | + | 20.9839i | −0.0678174 | + | 0.0280909i | ||||
\(748\) | 1349.41 | + | 137.709i | 1.80402 | + | 0.184103i | ||||
\(749\) | 510.862 | + | 211.606i | 0.682058 | + | 0.282518i | ||||
\(750\) | −192.505 | − | 48.5807i | −0.256673 | − | 0.0647743i | ||||
\(751\) | −106.499 | −0.141810 | −0.0709050 | − | 0.997483i | \(-0.522589\pi\) | ||||
−0.0709050 | + | 0.997483i | \(0.522589\pi\) | |||||||
\(752\) | 99.2513 | + | 150.831i | 0.131983 | + | 0.200573i | ||||
\(753\) | 682.920i | 0.906933i | ||||||||
\(754\) | −148.246 | − | 37.4114i | −0.196613 | − | 0.0496173i | ||||
\(755\) | 777.712 | − | 1877.56i | 1.03008 | − | 2.48684i | ||||
\(756\) | −43.8102 | − | 53.7683i | −0.0579500 | − | 0.0711220i | ||||
\(757\) | 436.588 | + | 1054.02i | 0.576734 | + | 1.39236i | 0.895728 | + | 0.444603i | \(0.146655\pi\) |
−0.318993 | + | 0.947757i | \(0.603345\pi\) | |||||||
\(758\) | 550.857 | − | 740.015i | 0.726724 | − | 0.976273i | ||||
\(759\) | −530.327 | + | 530.327i | −0.698719 | + | 0.698719i | ||||
\(760\) | 16.1503 | + | 368.490i | 0.0212504 | + | 0.484855i | ||||
\(761\) | 867.382 | − | 867.382i | 1.13979 | − | 1.13979i | 0.151306 | − | 0.988487i | \(-0.451652\pi\) |
0.988487 | − | 0.151306i | \(-0.0483479\pi\) | |||||||
\(762\) | 7.32769 | − | 1.07377i | 0.00961639 | − | 0.00140914i | ||||
\(763\) | −211.423 | − | 510.420i | −0.277094 | − | 0.668965i | ||||
\(764\) | 709.578 | + | 382.499i | 0.928767 | + | 0.500653i | ||||
\(765\) | −223.845 | + | 540.409i | −0.292608 | + | 0.706417i | ||||
\(766\) | 191.951 | − | 114.592i | 0.250589 | − | 0.149598i | ||||
\(767\) | 950.918i | 1.23979i | ||||||||
\(768\) | −317.924 | + | 309.083i | −0.413963 | + | 0.402452i | ||||
\(769\) | −363.245 | −0.472360 | −0.236180 | − | 0.971709i | \(-0.575896\pi\) | ||||
−0.236180 | + | 0.971709i | \(0.575896\pi\) | |||||||
\(770\) | −342.432 | − | 573.603i | −0.444717 | − | 0.744939i | ||||
\(771\) | 371.474 | + | 153.869i | 0.481808 | + | 0.199571i | ||||
\(772\) | −5.10469 | + | 9.46977i | −0.00661230 | + | 0.0122665i | ||||
\(773\) | −987.768 | + | 409.147i | −1.27784 | + | 0.529298i | −0.915338 | − | 0.402686i | \(-0.868077\pi\) |
−0.362499 | + | 0.931984i | \(0.618077\pi\) | |||||||
\(774\) | −21.5111 | − | 146.798i | −0.0277921 | − | 0.189662i | ||||
\(775\) | −651.381 | − | 651.381i | −0.840491 | − | 0.840491i | ||||
\(776\) | −153.083 | + | 6.70937i | −0.197272 | + | 0.00864610i | ||||
\(777\) | 154.664 | + | 154.664i | 0.199053 | + | 0.199053i | ||||
\(778\) | −599.405 | − | 446.189i | −0.770444 | − | 0.573508i | ||||
\(779\) | −80.5273 | + | 33.3555i | −0.103373 | + | 0.0428183i | ||||
\(780\) | 1032.23 | − | 841.060i | 1.32337 | − | 1.07828i | ||||
\(781\) | −1426.66 | − | 590.943i | −1.82671 | − | 0.756650i | ||||
\(782\) | −412.765 | + | 1635.61i | −0.527832 | + | 2.09158i | ||||
\(783\) | −15.6806 | −0.0200263 | ||||||||
\(784\) | −506.096 | + | 333.026i | −0.645531 | + | 0.424779i | ||||
\(785\) | 1618.13i | 2.06131i | ||||||||
\(786\) | −23.7128 | + | 93.9639i | −0.0301689 | + | 0.119547i | ||||
\(787\) | 136.007 | − | 328.349i | 0.172817 | − | 0.417216i | −0.813612 | − | 0.581409i | \(-0.802502\pi\) |
0.986428 | + | 0.164193i | \(0.0525018\pi\) | |||||||
\(788\) | 3.06679 | − | 30.0514i | 0.00389187 | − | 0.0381363i | ||||
\(789\) | −48.6282 | − | 117.399i | −0.0616326 | − | 0.148794i | ||||
\(790\) | 713.552 | + | 531.158i | 0.903230 | + | 0.672352i | ||||
\(791\) | −186.305 | + | 186.305i | −0.235531 | + | 0.235531i | ||||
\(792\) | −297.584 | − | 108.255i | −0.375738 | − | 0.136686i | ||||
\(793\) | −26.8784 | + | 26.8784i | −0.0338946 | + | 0.0338946i | ||||
\(794\) | −159.188 | − | 1086.35i | −0.200489 | − | 1.36820i | ||||
\(795\) | −22.5067 | − | 54.3360i | −0.0283103 | − | 0.0683471i | ||||
\(796\) | −969.080 | + | 290.241i | −1.21744 | + | 0.364625i | ||||
\(797\) | 65.5848 | − | 158.336i | 0.0822896 | − | 0.198665i | −0.877379 | − | 0.479797i | \(-0.840710\pi\) |
0.959669 | + | 0.281133i | \(0.0907102\pi\) | |||||||
\(798\) | −36.0098 | − | 60.3195i | −0.0451250 | − | 0.0755883i | ||||
\(799\) | 290.028i | 0.362989i | ||||||||
\(800\) | −342.299 | − | 983.908i | −0.427873 | − | 1.22989i | ||||
\(801\) | 363.394 | 0.453676 | ||||||||
\(802\) | −765.478 | + | 456.978i | −0.954461 | + | 0.569798i | ||||
\(803\) | 117.244 | + | 48.5639i | 0.146007 | + | 0.0604781i | ||||
\(804\) | −20.7373 | + | 6.21085i | −0.0257926 | + | 0.00772494i | ||||
\(805\) | 767.564 | − | 317.936i | 0.953496 | − | 0.394951i | ||||
\(806\) | 1418.51 | − | 207.862i | 1.75994 | − | 0.257893i | ||||
\(807\) | 208.341 | + | 208.341i | 0.258167 | + | 0.258167i | ||||
\(808\) | −95.2746 | + | 44.4467i | −0.117914 | + | 0.0550082i | ||||
\(809\) | −594.060 | − | 594.060i | −0.734314 | − | 0.734314i | 0.237157 | − | 0.971471i | \(-0.423784\pi\) |
−0.971471 | + | 0.237157i | \(0.923784\pi\) | |||||||
\(810\) | 81.5399 | − | 109.540i | 0.100667 | − | 0.135234i | ||||
\(811\) | −583.898 | + | 241.859i | −0.719973 | + | 0.298223i | −0.712424 | − | 0.701749i | \(-0.752403\pi\) |
−0.00754873 | + | 0.999972i | \(0.502403\pi\) | |||||||
\(812\) | 4.08938 | − | 40.0717i | 0.00503618 | − | 0.0493494i | ||||
\(813\) | 499.493 | + | 206.897i | 0.614383 | + | 0.254486i | ||||
\(814\) | 968.292 | + | 244.359i | 1.18955 | + | 0.300195i | ||||
\(815\) | 1303.40 | 1.59927 | ||||||||
\(816\) | −699.517 | + | 134.023i | −0.857251 | + | 0.164244i | ||||
\(817\) | − | 150.278i | − | 0.183938i | ||||||
\(818\) | −1042.97 | − | 263.205i | −1.27503 | − | 0.321766i | ||||
\(819\) | −97.0481 | + | 234.295i | −0.118496 | + | 0.286074i | ||||
\(820\) | 337.406 | − | 274.917i | 0.411471 | − | 0.335265i | ||||
\(821\) | −252.315 | − | 609.143i | −0.307327 | − | 0.741952i | −0.999790 | − | 0.0204989i | \(-0.993475\pi\) |
0.692463 | − | 0.721453i | \(-0.256525\pi\) | |||||||
\(822\) | 322.021 | − | 432.599i | 0.391753 | − | 0.526277i | ||||
\(823\) | 384.849 | − | 384.849i | 0.467617 | − | 0.467617i | −0.433525 | − | 0.901142i | \(-0.642730\pi\) |
0.901142 | + | 0.433525i | \(0.142730\pi\) | |||||||
\(824\) | 20.3442 | + | 18.6358i | 0.0246896 | + | 0.0226162i | ||||
\(825\) | 526.073 | − | 526.073i | 0.637664 | − | 0.637664i | ||||
\(826\) | −247.872 | + | 36.3220i | −0.300087 | + | 0.0439734i | ||||
\(827\) | 186.532 | + | 450.328i | 0.225553 | + | 0.544533i | 0.995627 | − | 0.0934222i | \(-0.0297806\pi\) |
−0.770074 | + | 0.637955i | \(0.779781\pi\) | |||||||
\(828\) | 186.867 | − | 346.658i | 0.225684 | − | 0.418669i | ||||
\(829\) | −454.707 | + | 1097.76i | −0.548500 | + | 1.32420i | 0.370094 | + | 0.928994i | \(0.379326\pi\) |
−0.918594 | + | 0.395202i | \(0.870674\pi\) | |||||||
\(830\) | 238.124 | − | 142.156i | 0.286896 | − | 0.171272i | ||||
\(831\) | − | 534.883i | − | 0.643662i | ||||||
\(832\) | 1546.41 | + | 487.013i | 1.85866 | + | 0.585352i | ||||
\(833\) | −973.156 | −1.16825 | ||||||||
\(834\) | −55.7242 | − | 93.3429i | −0.0668156 | − | 0.111922i | ||||
\(835\) | −411.786 | − | 170.568i | −0.493157 | − | 0.204272i | ||||
\(836\) | −282.336 | − | 152.194i | −0.337723 | − | 0.182050i | ||||
\(837\) | 135.842 | − | 56.2675i | 0.162296 | − | 0.0672252i | ||||
\(838\) | 40.8276 | + | 278.619i | 0.0487203 | + | 0.332481i | ||||
\(839\) | −376.677 | − | 376.677i | −0.448959 | − | 0.448959i | 0.446049 | − | 0.895008i | \(-0.352831\pi\) |
−0.895008 | + | 0.446049i | \(0.852831\pi\) | |||||||
\(840\) | 258.664 | + | 236.942i | 0.307933 | + | 0.282074i | ||||
\(841\) | 588.237 | + | 588.237i | 0.699450 | + | 0.699450i | ||||
\(842\) | −220.695 | − | 164.282i | −0.262108 | − | 0.195109i | ||||
\(843\) | 220.854 | − | 91.4805i | 0.261985 | − | 0.108518i | ||||
\(844\) | −735.730 | − | 902.961i | −0.871718 | − | 1.06986i | ||||
\(845\) | −3313.42 | − | 1372.47i | −3.92121 | − | 1.62422i | ||||
\(846\) | 16.5676 | − | 65.6506i | 0.0195835 | − | 0.0776012i | ||||
\(847\) | 177.156 | 0.209157 | ||||||||
\(848\) | 40.2047 | − | 59.2620i | 0.0474112 | − | 0.0698844i | ||||
\(849\) | 83.9148i | 0.0988395i | ||||||||
\(850\) | 409.453 | − | 1622.49i | 0.481710 | − | 1.90881i | ||||
\(851\) | −475.279 | + | 1147.42i | −0.558494 | + | 1.34832i | ||||
\(852\) | 806.660 | + | 82.3209i | 0.946784 | + | 0.0966208i | ||||
\(853\) | −26.3732 | − | 63.6706i | −0.0309182 | − | 0.0746431i | 0.907666 | − | 0.419693i | \(-0.137862\pi\) |
−0.938584 | + | 0.345049i | \(0.887862\pi\) | |||||||
\(854\) | −8.03297 | − | 5.97963i | −0.00940628 | − | 0.00700190i | ||||
\(855\) | 97.8045 | − | 97.8045i | 0.114391 | − | 0.114391i | ||||
\(856\) | −1201.36 | + | 560.447i | −1.40346 | + | 0.654728i | ||||
\(857\) | 147.757 | − | 147.757i | 0.172412 | − | 0.172412i | −0.615626 | − | 0.788038i | \(-0.711097\pi\) |
0.788038 | + | 0.615626i | \(0.211097\pi\) | |||||||
\(858\) | 167.875 | + | 1145.63i | 0.195658 | + | 1.33523i | ||||
\(859\) | 579.032 | + | 1397.91i | 0.674076 | + | 1.62736i | 0.774616 | + | 0.632431i | \(0.217943\pi\) |
−0.100540 | + | 0.994933i | \(0.532057\pi\) | |||||||
\(860\) | 215.292 | + | 718.835i | 0.250340 | + | 0.835854i | ||||
\(861\) | −31.7222 | + | 76.5841i | −0.0368434 | + | 0.0889478i | ||||
\(862\) | −340.251 | − | 569.950i | −0.394723 | − | 0.661195i | ||||
\(863\) | − | 405.553i | − | 0.469934i | −0.972003 | − | 0.234967i | \(-0.924502\pi\) | ||
0.972003 | − | 0.234967i | \(-0.0754982\pi\) | |||||||
\(864\) | 165.998 | + | 9.62190i | 0.192128 | + | 0.0111365i | ||||
\(865\) | −748.142 | −0.864904 | ||||||||
\(866\) | 1385.74 | − | 827.264i | 1.60016 | − | 0.955270i | ||||
\(867\) | −594.522 | − | 246.259i | −0.685723 | − | 0.284036i | ||||
\(868\) | 108.365 | + | 361.817i | 0.124844 | + | 0.416840i | ||||
\(869\) | −714.657 | + | 296.021i | −0.822390 | + | 0.340645i | ||||
\(870\) | 78.4690 | − | 11.4985i | 0.0901942 | − | 0.0132166i | ||||
\(871\) | 55.9692 | + | 55.9692i | 0.0642585 | + | 0.0642585i | ||||
\(872\) | 1244.71 | + | 452.801i | 1.42742 | + | 0.519267i | ||||
\(873\) | 40.6312 | + | 40.6312i | 0.0465420 | + | 0.0465420i | ||||
\(874\) | 238.183 | − | 319.973i | 0.272521 | − | 0.366102i | ||||
\(875\) | −176.693 | + | 73.1888i | −0.201935 | + | 0.0836444i | ||||
\(876\) | −66.2915 | − | 6.76515i | −0.0756753 | − | 0.00772278i | ||||
\(877\) | 1246.79 | + | 516.439i | 1.42166 | + | 0.588870i | 0.955276 | − | 0.295714i | \(-0.0955576\pi\) |
0.466381 | + | 0.884584i | \(0.345558\pi\) | |||||||
\(878\) | 450.027 | + | 113.569i | 0.512559 | + | 0.129350i | ||||
\(879\) | 302.999 | 0.344709 | ||||||||
\(880\) | 1568.56 | + | 323.517i | 1.78245 | + | 0.367633i | ||||
\(881\) | − | 579.161i | − | 0.657391i | −0.944436 | − | 0.328695i | \(-0.893391\pi\) | ||
0.944436 | − | 0.328695i | \(-0.106609\pi\) | |||||||
\(882\) | 220.283 | + | 55.5908i | 0.249754 | + | 0.0630281i | ||||
\(883\) | −251.441 | + | 607.032i | −0.284758 | + | 0.687466i | −0.999934 | − | 0.0114783i | \(-0.996346\pi\) |
0.715177 | + | 0.698944i | \(0.246346\pi\) | |||||||
\(884\) | 1645.02 | + | 2018.93i | 1.86088 | + | 2.28386i | ||||
\(885\) | −188.758 | − | 455.701i | −0.213285 | − | 0.514917i | ||||
\(886\) | 687.918 | − | 924.141i | 0.776431 | − | 1.04305i | ||||
\(887\) | −482.450 | + | 482.450i | −0.543912 | + | 0.543912i | −0.924673 | − | 0.380761i | \(-0.875662\pi\) |
0.380761 | + | 0.924673i | \(0.375662\pi\) | |||||||
\(888\) | −523.878 | + | 22.9608i | −0.589953 | + | 0.0258567i | ||||
\(889\) | 5.04454 | − | 5.04454i | 0.00567440 | − | 0.00567440i | ||||
\(890\) | −1818.50 | + | 266.475i | −2.04326 | + | 0.299410i | ||||
\(891\) | 45.4432 | + | 109.710i | 0.0510024 | + | 0.123131i | ||||
\(892\) | 1067.86 | + | 575.632i | 1.19715 | + | 0.645327i | ||||
\(893\) | 26.2450 | − | 63.3610i | 0.0293897 | − | 0.0709529i | ||||
\(894\) | −441.339 | + | 263.473i | −0.493668 | + | 0.294712i | ||||
\(895\) | − | 2492.64i | − | 2.78508i | ||||||
\(896\) | −67.8798 | + | 421.699i | −0.0757587 | + | 0.470646i | ||||
\(897\) | −1439.96 | −1.60531 | ||||||||
\(898\) | −557.100 | − | 933.191i | −0.620379 | − | 1.03919i | ||||
\(899\) | 78.8918 | + | 32.6780i | 0.0877550 | + | 0.0363493i | ||||
\(900\) | −185.367 | + | 343.877i | −0.205964 | + | 0.382086i | ||||
\(901\) | 106.275 | − | 44.0206i | 0.117953 | − | 0.0488575i | ||||
\(902\) | 54.8733 | + | 374.471i | 0.0608351 | + | 0.415157i | ||||
\(903\) | −101.059 | − | 101.059i | −0.111915 | − | 0.111915i | ||||
\(904\) | −27.6580 | − | 631.052i | −0.0305951 | − | 0.698066i | ||||
\(905\) | 1068.61 | + | 1068.61i | 1.18078 | + | 1.18078i | ||||
\(906\) | −744.369 | − | 554.098i | −0.821600 | − | 0.611587i | ||||
\(907\) | 902.707 | − | 373.913i | 0.995267 | − | 0.412253i | 0.175208 | − | 0.984532i | \(-0.443940\pi\) |
0.820059 | + | 0.572278i | \(0.193940\pi\) | |||||||
\(908\) | 1161.07 | − | 946.040i | 1.27872 | − | 1.04189i | ||||
\(909\) | 36.4235 | + | 15.0871i | 0.0400699 | + | 0.0165975i | ||||
\(910\) | 313.842 | − | 1243.63i | 0.344882 | − | 1.36662i | ||||
\(911\) | −340.128 | −0.373356 | −0.186678 | − | 0.982421i | \(-0.559772\pi\) | ||||
−0.186678 | + | 0.982421i | \(0.559772\pi\) | |||||||
\(912\) | 164.948 | + | 34.0207i | 0.180864 | + | 0.0373034i | ||||
\(913\) | 241.163i | 0.264144i | ||||||||
\(914\) | 139.169 | − | 551.467i | 0.152263 | − | 0.603356i | ||||
\(915\) | 7.54537 | − | 18.2161i | 0.00824630 | − | 0.0199083i | ||||
\(916\) | 50.6055 | − | 495.882i | 0.0552462 | − | 0.541356i | ||||
\(917\) | 35.7243 | + | 86.2461i | 0.0389578 | + | 0.0940524i | ||||
\(918\) | 214.248 | + | 159.483i | 0.233386 | + | 0.173729i | ||||
\(919\) | 862.460 | − | 862.460i | 0.938477 | − | 0.938477i | −0.0597374 | − | 0.998214i | \(-0.519026\pi\) |
0.998214 | + | 0.0597374i | \(0.0190263\pi\) | |||||||
\(920\) | −680.918 | + | 1871.78i | −0.740128 | + | 2.03454i | ||||
\(921\) | −337.718 | + | 337.718i | −0.366686 | + | 0.366686i | ||||
\(922\) | 10.0806 | + | 68.7928i | 0.0109334 | + | 0.0746126i | ||||
\(923\) | −1134.59 | − | 2739.14i | −1.22924 | − | 2.96765i | ||||
\(924\) | −292.214 | + | 87.5185i | −0.316248 | + | 0.0947170i | ||||
\(925\) | 471.466 | − | 1138.22i | 0.509693 | − | 1.23051i | ||||
\(926\) | −42.6788 | − | 71.4906i | −0.0460894 | − | 0.0772037i | ||||
\(927\) | − | 10.3461i | − | 0.0111608i | ||||||
\(928\) | 64.2177 | + | 72.1203i | 0.0692001 | + | 0.0777159i | ||||
\(929\) | 615.216 | 0.662234 | 0.331117 | − | 0.943590i | \(-0.392574\pi\) | ||||
0.331117 | + | 0.943590i | \(0.392574\pi\) | |||||||
\(930\) | −638.521 | + | 381.187i | −0.686581 | + | 0.409878i | ||||
\(931\) | 212.601 | + | 88.0620i | 0.228357 | + | 0.0945886i | ||||
\(932\) | −127.755 | + | 38.2628i | −0.137076 | + | 0.0410545i | ||||
\(933\) | −99.4601 | + | 41.1977i | −0.106602 | + | 0.0441562i | ||||
\(934\) | −1115.82 | + | 163.508i | −1.19467 | + | 0.175062i | ||||
\(935\) | 1819.10 | + | 1819.10i | 1.94557 | + | 1.94557i | ||||
\(936\) | −257.036 | − | 550.975i | −0.274611 | − | 0.588649i | ||||
\(937\) | 414.108 | + | 414.108i | 0.441951 | + | 0.441951i | 0.892667 | − | 0.450716i | \(-0.148831\pi\) |
−0.450716 | + | 0.892667i | \(0.648831\pi\) | |||||||
\(938\) | −12.4514 | + | 16.7271i | −0.0132744 | + | 0.0178327i | ||||
\(939\) | −275.725 | + | 114.209i | −0.293637 | + | 0.121628i | ||||
\(940\) | −34.7668 | + | 340.679i | −0.0369859 | + | 0.362424i | ||||
\(941\) | 270.294 | + | 111.960i | 0.287241 | + | 0.118979i | 0.521652 | − | 0.853158i | \(-0.325316\pi\) |
−0.234410 | + | 0.972138i | \(0.575316\pi\) | |||||||
\(942\) | 716.401 | + | 180.791i | 0.760510 | + | 0.191923i | ||||
\(943\) | −470.682 | −0.499132 | ||||||||
\(944\) | 337.186 | − | 497.014i | 0.357189 | − | 0.526498i | ||||
\(945\) | − | 131.543i | − | 0.139199i | ||||||
\(946\) | −632.692 | − | 159.666i | −0.668807 | − | 0.168781i | ||||
\(947\) | 524.154 | − | 1265.42i | 0.553489 | − | 1.33624i | −0.361354 | − | 0.932429i | \(-0.617685\pi\) |
0.914843 | − | 0.403811i | \(-0.132315\pi\) | |||||||
\(948\) | 314.886 | − | 256.568i | 0.332159 | − | 0.270642i | ||||
\(949\) | 93.2408 | + | 225.103i | 0.0982517 | + | 0.237201i | ||||
\(950\) | −236.273 | + | 317.406i | −0.248708 | + | 0.334112i | ||||
\(951\) | 5.24500 | − | 5.24500i | 0.00551525 | − | 0.00551525i | ||||
\(952\) | −463.433 | + | 505.918i | −0.486799 | + | 0.531426i | ||||
\(953\) | −923.672 | + | 923.672i | −0.969226 | + | 0.969226i | −0.999540 | − | 0.0303144i | \(-0.990349\pi\) |
0.0303144 | + | 0.999540i | \(0.490349\pi\) | |||||||
\(954\) | −26.5711 | + | 3.89360i | −0.0278523 | + | 0.00408134i | ||||
\(955\) | 585.076 | + | 1412.50i | 0.612645 | + | 1.47906i | ||||
\(956\) | 725.037 | − | 1345.02i | 0.758407 | − | 1.40693i | ||||
\(957\) | −26.3917 | + | 63.7152i | −0.0275775 | + | 0.0665780i | ||||
\(958\) | −1137.37 | + | 678.993i | −1.18724 | + | 0.708761i | ||||
\(959\) | − | 519.497i | − | 0.541707i | ||||||
\(960\) | −837.746 | + | 73.5755i | −0.872652 | + | 0.0766411i | ||||
\(961\) | 160.295 | 0.166801 | ||||||||
\(962\) | 982.825 | + | 1646.32i | 1.02165 | + | 1.71135i | ||||
\(963\) | 459.280 | + | 190.240i | 0.476926 | + | 0.197549i | ||||
\(964\) | 924.965 | + | 498.603i | 0.959507 | + | 0.517224i | ||||
\(965\) | −18.8507 | + | 7.80821i | −0.0195344 | + | 0.00809141i | ||||
\(966\) | −55.0020 | − | 375.350i | −0.0569379 | − | 0.388561i | ||||
\(967\) | 1286.99 | + | 1286.99i | 1.33091 | + | 1.33091i | 0.904561 | + | 0.426344i | \(0.140199\pi\) |
0.426344 | + | 0.904561i | \(0.359801\pi\) | |||||||
\(968\) | −286.882 | + | 313.182i | −0.296366 | + | 0.323535i | ||||
\(969\) | 191.295 | + | 191.295i | 0.197415 | + | 0.197415i | ||||
\(970\) | −233.122 | − | 173.532i | −0.240332 | − | 0.178899i | ||||
\(971\) | −729.976 | + | 302.366i | −0.751778 | + | 0.311397i | −0.725467 | − | 0.688257i | \(-0.758376\pi\) |
−0.0263112 | + | 0.999654i | \(0.508376\pi\) | |||||||
\(972\) | −39.3867 | − | 48.3393i | −0.0405213 | − | 0.0497318i | ||||
\(973\) | −96.7488 | − | 40.0747i | −0.0994335 | − | 0.0411867i | ||||
\(974\) | 214.104 | − | 848.404i | 0.219819 | − | 0.871051i | ||||
\(975\) | 1428.41 | 1.46504 | ||||||||
\(976\) | 23.5793 | − | 4.51766i | 0.0241591 | − | 0.00462875i | ||||
\(977\) | − | 346.223i | − | 0.354374i | −0.984177 | − | 0.177187i | \(-0.943300\pi\) | ||
0.984177 | − | 0.177187i | \(-0.0566997\pi\) | |||||||
\(978\) | 145.628 | − | 577.062i | 0.148904 | − | 0.590043i | ||||
\(979\) | 611.622 | − | 1476.59i | 0.624741 | − | 1.50826i | ||||
\(980\) | −1143.11 | − | 116.656i | −1.16644 | − | 0.119037i | ||||
\(981\) | −190.076 | − | 458.883i | −0.193757 | − | 0.467771i | ||||
\(982\) | 432.568 | + | 321.997i | 0.440497 | + | 0.327899i | ||||
\(983\) | −185.696 | + | 185.696i | −0.188908 | + | 0.188908i | −0.795224 | − | 0.606316i | \(-0.792647\pi\) |
0.606316 | + | 0.795224i | \(0.292647\pi\) | |||||||
\(984\) | −84.0175 | − | 180.098i | −0.0853837 | − | 0.183026i | ||||
\(985\) | 40.5116 | − | 40.5116i | 0.0411286 | − | 0.0411286i | ||||
\(986\) | 22.4898 | + | 153.477i | 0.0228091 | + | 0.155656i | ||||
\(987\) | −24.9598 | − | 60.2584i | −0.0252886 | − | 0.0610520i | ||||
\(988\) | −176.684 | − | 589.926i | −0.178830 | − | 0.597091i | ||||
\(989\) | 310.552 | − | 749.738i | 0.314006 | − | 0.758077i | ||||
\(990\) | −307.857 | − | 515.687i | −0.310966 | − | 0.520896i | ||||
\(991\) | 692.209i | 0.698496i | 0.937030 | + | 0.349248i | \(0.113563\pi\) | ||||
−0.937030 | + | 0.349248i | \(0.886437\pi\) | |||||||
\(992\) | −815.115 | − | 394.347i | −0.821688 | − | 0.397527i | ||||
\(993\) | −902.955 | −0.909320 | ||||||||
\(994\) | 670.663 | − | 400.375i | 0.674712 | − | 0.402792i | ||||
\(995\) | −1772.59 | − | 734.232i | −1.78150 | − | 0.737922i | ||||
\(996\) | −36.3322 | − | 121.309i | −0.0364781 | − | 0.121796i | ||||
\(997\) | −637.716 | + | 264.150i | −0.639635 | + | 0.264945i | −0.678840 | − | 0.734286i | \(-0.737517\pi\) |
0.0392058 | + | 0.999231i | \(0.487517\pi\) | |||||||
\(998\) | 1053.27 | − | 154.341i | 1.05538 | − | 0.154650i | ||||
\(999\) | 139.048 | + | 139.048i | 0.139187 | + | 0.139187i |
(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 | 96.3.m.a.19.12 | ✓ | 64 | |
3.2 | odd | 2 | 288.3.u.b.19.5 | 64 | |||
4.3 | odd | 2 | 384.3.m.a.367.2 | 64 | |||
32.5 | even | 8 | 384.3.m.a.271.2 | 64 | |||
32.27 | odd | 8 | inner | 96.3.m.a.91.12 | yes | 64 | |
96.59 | even | 8 | 288.3.u.b.91.5 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.3.m.a.19.12 | ✓ | 64 | 1.1 | even | 1 | trivial | |
96.3.m.a.91.12 | yes | 64 | 32.27 | odd | 8 | inner | |
288.3.u.b.19.5 | 64 | 3.2 | odd | 2 | |||
288.3.u.b.91.5 | 64 | 96.59 | even | 8 | |||
384.3.m.a.271.2 | 64 | 32.5 | even | 8 | |||
384.3.m.a.367.2 | 64 | 4.3 | odd | 2 |