Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(107,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.be (of order \(6\), degree \(2\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.2 | ||
Character | \(\chi\) | \(=\) | 756.107 |
Dual form | 756.2.be.c.431.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38410 | − | 0.290278i | −0.978708 | − | 0.205258i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.83148 | + | 0.803549i | 0.915739 | + | 0.401774i | ||||
\(5\) | 2.75822 | + | 1.59246i | 1.23351 | + | 0.712170i | 0.967761 | − | 0.251871i | \(-0.0810459\pi\) |
0.265754 | + | 0.964041i | \(0.414379\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.944233 | + | 2.47152i | −0.356887 | + | 0.934148i | ||||
\(8\) | −2.30170 | − | 1.64383i | −0.813774 | − | 0.581182i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.35540 | − | 3.00478i | −1.06107 | − | 0.950194i | ||||
\(11\) | −1.24831 | − | 2.16213i | −0.376379 | − | 0.651907i | 0.614153 | − | 0.789187i | \(-0.289498\pi\) |
−0.990532 | + | 0.137279i | \(0.956164\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.61093 | 1.83354 | 0.916771 | − | 0.399414i | \(-0.130786\pi\) | ||||
0.916771 | + | 0.399414i | \(0.130786\pi\) | |||||||
\(14\) | 2.02434 | − | 3.14675i | 0.541029 | − | 0.841004i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.70862 | + | 2.94336i | 0.677155 | + | 0.735841i | ||||
\(17\) | −2.67612 | + | 1.54506i | −0.649054 | + | 0.374731i | −0.788094 | − | 0.615555i | \(-0.788932\pi\) |
0.139040 | + | 0.990287i | \(0.455598\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.40292 | + | 2.54203i | 1.01010 | + | 0.583181i | 0.911220 | − | 0.411919i | \(-0.135141\pi\) |
0.0988779 | + | 0.995100i | \(0.468475\pi\) | |||||||
\(20\) | 3.77200 | + | 5.13292i | 0.843445 | + | 1.14776i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.10017 | + | 3.35497i | 0.234556 | + | 0.715282i | ||||
\(23\) | 2.53877 | − | 4.39728i | 0.529371 | − | 0.916897i | −0.470042 | − | 0.882644i | \(-0.655761\pi\) |
0.999413 | − | 0.0342533i | \(-0.0109053\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.57186 | + | 4.45459i | 0.514372 | + | 0.890918i | ||||
\(26\) | −9.15020 | − | 1.91901i | −1.79450 | − | 0.376348i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.71533 | + | 3.76780i | −0.702131 | + | 0.712047i | ||||
\(29\) | − | 1.59554i | − | 0.296285i | −0.988966 | − | 0.148143i | \(-0.952671\pi\) | ||
0.988966 | − | 0.148143i | \(-0.0473294\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.31098 | + | 4.22099i | −1.31309 | + | 0.758113i | −0.982607 | − | 0.185699i | \(-0.940545\pi\) |
−0.330483 | + | 0.943812i | \(0.607212\pi\) | |||||||
\(32\) | −2.89461 | − | 4.86017i | −0.511700 | − | 0.859164i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.15252 | − | 1.36170i | 0.712151 | − | 0.233529i | ||||
\(35\) | −6.54021 | + | 5.31335i | −1.10550 | + | 0.898121i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.357491 | + | 0.619192i | −0.0587711 | + | 0.101795i | −0.893914 | − | 0.448238i | \(-0.852052\pi\) |
0.835143 | + | 0.550033i | \(0.185385\pi\) | |||||||
\(38\) | −5.35619 | − | 4.79649i | −0.868889 | − | 0.778094i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.73086 | − | 8.19942i | −0.589901 | − | 1.29644i | ||||
\(41\) | 12.2607i | 1.91480i | 0.288763 | + | 0.957401i | \(0.406756\pi\) | ||||
−0.288763 | + | 0.957401i | \(0.593244\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 3.72407i | − | 0.567915i | −0.958837 | − | 0.283958i | \(-0.908352\pi\) | ||
0.958837 | − | 0.283958i | \(-0.0916475\pi\) | |||||||
\(44\) | −0.548869 | − | 4.96297i | −0.0827451 | − | 0.748196i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.79036 | + | 5.34934i | −0.706300 | + | 0.788717i | ||||
\(47\) | −2.51371 | + | 4.35388i | −0.366663 | + | 0.635078i | −0.989041 | − | 0.147638i | \(-0.952833\pi\) |
0.622379 | + | 0.782716i | \(0.286166\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.21685 | − | 4.66739i | −0.745264 | − | 0.666770i | ||||
\(50\) | −2.26665 | − | 6.91216i | −0.320552 | − | 0.977527i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 12.1078 | + | 5.31220i | 1.67904 | + | 0.736670i | ||||
\(53\) | 7.21991 | − | 4.16842i | 0.991732 | − | 0.572576i | 0.0859401 | − | 0.996300i | \(-0.472611\pi\) |
0.905791 | + | 0.423724i | \(0.139277\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 7.95152i | − | 1.07218i | ||||||
\(56\) | 6.23611 | − | 4.13654i | 0.833335 | − | 0.552769i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.463151 | + | 2.20840i | −0.0608147 | + | 0.289977i | ||||
\(59\) | 5.36835 | + | 9.29825i | 0.698899 | + | 1.21053i | 0.968848 | + | 0.247654i | \(0.0796598\pi\) |
−0.269949 | + | 0.962875i | \(0.587007\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.997571 | − | 1.72784i | 0.127726 | − | 0.221228i | −0.795069 | − | 0.606519i | \(-0.792566\pi\) |
0.922795 | + | 0.385291i | \(0.125899\pi\) | |||||||
\(62\) | 11.3444 | − | 3.72007i | 1.44074 | − | 0.472450i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.59564 | + | 7.56721i | 0.324455 | + | 0.945901i | ||||
\(65\) | 18.2344 | + | 10.5276i | 2.26170 | + | 1.30579i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.00277185 | + | 0.00160033i | −0.000338635 | + | 0.000195511i | −0.500169 | − | 0.865928i | \(-0.666729\pi\) |
0.499831 | + | 0.866123i | \(0.333396\pi\) | |||||||
\(68\) | −6.14278 | + | 0.679346i | −0.744921 | + | 0.0823828i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 10.5947 | − | 5.45575i | 1.26630 | − | 0.652086i | ||||
\(71\) | −12.4088 | −1.47265 | −0.736324 | − | 0.676629i | \(-0.763440\pi\) | ||||
−0.736324 | + | 0.676629i | \(0.763440\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.957657 | + | 1.65871i | 0.112085 | + | 0.194137i | 0.916611 | − | 0.399781i | \(-0.130914\pi\) |
−0.804526 | + | 0.593918i | \(0.797580\pi\) | |||||||
\(74\) | 0.674541 | − | 0.753253i | 0.0784139 | − | 0.0875639i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.02120 | + | 8.19362i | 0.690679 | + | 0.939873i | ||||
\(77\) | 6.52245 | − | 1.04366i | 0.743302 | − | 0.118936i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.11304 | + | 3.52937i | 0.687771 | + | 0.397085i | 0.802776 | − | 0.596280i | \(-0.203355\pi\) |
−0.115005 | + | 0.993365i | \(0.536689\pi\) | |||||||
\(80\) | 2.78378 | + | 12.4318i | 0.311237 | + | 1.38992i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.55901 | − | 16.9701i | 0.393027 | − | 1.87403i | ||||
\(83\) | 7.93317 | 0.870778 | 0.435389 | − | 0.900242i | \(-0.356611\pi\) | ||||
0.435389 | + | 0.900242i | \(0.356611\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.84177 | −1.06749 | ||||||||
\(86\) | −1.08102 | + | 5.15449i | −0.116569 | + | 0.555823i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.680951 | + | 7.02859i | −0.0725897 | + | 0.749250i | ||||
\(89\) | 0.482940 | + | 0.278825i | 0.0511915 | + | 0.0295554i | 0.525377 | − | 0.850869i | \(-0.323924\pi\) |
−0.474186 | + | 0.880425i | \(0.657258\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.24226 | + | 16.3391i | −0.654366 | + | 1.71280i | ||||
\(92\) | 8.18314 | − | 6.01350i | 0.853151 | − | 0.626951i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.74307 | − | 5.29653i | 0.489210 | − | 0.546296i | ||||
\(95\) | 8.09615 | + | 14.0229i | 0.830647 | + | 1.43872i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.127151 | 0.0129103 | 0.00645513 | − | 0.999979i | \(-0.497945\pi\) | ||||
0.00645513 | + | 0.999979i | \(0.497945\pi\) | |||||||
\(98\) | 5.86581 | + | 7.97448i | 0.592536 | + | 0.805544i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.13082 | + | 10.2251i | 0.113082 | + | 1.02251i | ||||
\(101\) | 2.78771 | − | 1.60949i | 0.277388 | − | 0.160150i | −0.354852 | − | 0.934922i | \(-0.615469\pi\) |
0.632240 | + | 0.774772i | \(0.282136\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.60433 | − | 0.926260i | −0.158079 | − | 0.0912671i | 0.418874 | − | 0.908045i | \(-0.362425\pi\) |
−0.576953 | + | 0.816777i | \(0.695758\pi\) | |||||||
\(104\) | −15.2164 | − | 10.8672i | −1.49209 | − | 1.06562i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.2031 | + | 3.67374i | −1.08814 | + | 0.356825i | ||||
\(107\) | 1.34472 | − | 2.32912i | 0.129999 | − | 0.225165i | −0.793677 | − | 0.608340i | \(-0.791836\pi\) |
0.923676 | + | 0.383175i | \(0.125169\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.16374 | − | 2.01566i | −0.111466 | − | 0.193065i | 0.804895 | − | 0.593417i | \(-0.202221\pi\) |
−0.916362 | + | 0.400352i | \(0.868888\pi\) | |||||||
\(110\) | −2.30815 | + | 11.0057i | −0.220074 | + | 1.04935i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.83216 | + | 3.91519i | −0.929051 | + | 0.369951i | ||||
\(113\) | − | 3.19262i | − | 0.300336i | −0.988660 | − | 0.150168i | \(-0.952019\pi\) | ||
0.988660 | − | 0.150168i | \(-0.0479815\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 14.0050 | − | 8.08579i | 1.30597 | − | 0.754004i | ||||
\(116\) | 1.28210 | − | 2.92220i | 0.119040 | − | 0.271320i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.73126 | − | 14.4280i | −0.435548 | − | 1.32821i | ||||
\(119\) | −1.29176 | − | 8.07298i | −0.118416 | − | 0.740049i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.38346 | − | 4.12827i | 0.216678 | − | 0.375297i | ||||
\(122\) | −1.88230 | + | 2.10194i | −0.170415 | + | 0.190301i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −16.7817 | + | 1.85593i | −1.50704 | + | 0.166667i | ||||
\(125\) | 0.457730i | 0.0409406i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 16.3682i | − | 1.45244i | −0.687463 | − | 0.726220i | \(-0.741275\pi\) | ||
0.687463 | − | 0.726220i | \(-0.258725\pi\) | |||||||
\(128\) | −1.39604 | − | 11.2272i | −0.123393 | − | 0.992358i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −22.1823 | − | 19.8644i | −1.94552 | − | 1.74222i | ||||
\(131\) | 6.73046 | − | 11.6575i | 0.588043 | − | 1.01852i | −0.406445 | − | 0.913675i | \(-0.633232\pi\) |
0.994489 | − | 0.104845i | \(-0.0334348\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.4401 | + | 8.48164i | −0.905267 | + | 0.735452i | ||||
\(134\) | 0.00430106 | − | 0.00141041i | 0.000371555 | − | 0.000121841i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.69943 | + | 0.842828i | 0.745970 | + | 0.0722719i | ||||
\(137\) | −17.8601 | + | 10.3115i | −1.52589 | + | 0.880974i | −0.526363 | + | 0.850260i | \(0.676445\pi\) |
−0.999528 | + | 0.0307143i | \(0.990222\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 1.68786i | − | 0.143163i | −0.997435 | − | 0.0715813i | \(-0.977195\pi\) | ||
0.997435 | − | 0.0715813i | \(-0.0228045\pi\) | |||||||
\(140\) | −16.2478 | + | 4.47591i | −1.37319 | + | 0.378284i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 17.1750 | + | 3.60199i | 1.44129 | + | 0.302272i | ||||
\(143\) | −8.25247 | − | 14.2937i | −0.690106 | − | 1.19530i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.54084 | − | 4.40086i | 0.211005 | − | 0.365472i | ||||
\(146\) | −0.844008 | − | 2.57381i | −0.0698506 | − | 0.213010i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.15229 | + | 0.846775i | −0.0947174 | + | 0.0696045i | ||||
\(149\) | −1.78690 | − | 1.03167i | −0.146389 | − | 0.0845175i | 0.425017 | − | 0.905186i | \(-0.360268\pi\) |
−0.571405 | + | 0.820668i | \(0.693602\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.42476 | − | 1.97728i | 0.278703 | − | 0.160909i | −0.354133 | − | 0.935195i | \(-0.615224\pi\) |
0.632836 | + | 0.774286i | \(0.281891\pi\) | |||||||
\(152\) | −5.95553 | − | 13.0886i | −0.483057 | − | 1.06163i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −9.33069 | − | 0.448788i | −0.751889 | − | 0.0361643i | ||||
\(155\) | −26.8871 | −2.15962 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.964497 | + | 1.67056i | 0.0769753 | + | 0.133325i | 0.901944 | − | 0.431854i | \(-0.142140\pi\) |
−0.824968 | + | 0.565179i | \(0.808807\pi\) | |||||||
\(158\) | −7.43658 | − | 6.65949i | −0.591622 | − | 0.529800i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.244360 | − | 18.0150i | −0.0193183 | − | 1.42421i | ||||
\(161\) | 8.47079 | + | 10.4267i | 0.667592 | + | 0.821739i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.87357 | − | 2.23640i | −0.303401 | − | 0.175169i | 0.340569 | − | 0.940220i | \(-0.389380\pi\) |
−0.643970 | + | 0.765051i | \(0.722714\pi\) | |||||||
\(164\) | −9.85208 | + | 22.4552i | −0.769318 | + | 1.75346i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.9803 | − | 2.30282i | −0.852237 | − | 0.178734i | ||||
\(167\) | 10.5654 | 0.817573 | 0.408787 | − | 0.912630i | \(-0.365952\pi\) | ||||
0.408787 | + | 0.912630i | \(0.365952\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 30.7044 | 2.36187 | ||||||||
\(170\) | 13.6220 | + | 2.85685i | 1.04476 | + | 0.219110i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.99247 | − | 6.82055i | 0.228174 | − | 0.520062i | ||||
\(173\) | −0.942299 | − | 0.544036i | −0.0716417 | − | 0.0413623i | 0.463751 | − | 0.885965i | \(-0.346503\pi\) |
−0.535393 | + | 0.844603i | \(0.679836\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −13.4381 | + | 2.15023i | −1.01582 | + | 0.162542i | ||||
\(176\) | 2.98275 | − | 9.53061i | 0.224833 | − | 0.718397i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.587501 | − | 0.526109i | −0.0440350 | − | 0.0394336i | ||||
\(179\) | 7.75422 | + | 13.4307i | 0.579578 | + | 1.00386i | 0.995528 | + | 0.0944707i | \(0.0301159\pi\) |
−0.415950 | + | 0.909388i | \(0.636551\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.30027 | −0.468295 | −0.234148 | − | 0.972201i | \(-0.575230\pi\) | ||||
−0.234148 | + | 0.972201i | \(0.575230\pi\) | |||||||
\(182\) | 13.3828 | − | 20.8029i | 0.991998 | − | 1.54202i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −13.0719 | + | 5.94791i | −0.963672 | + | 0.438486i | ||||
\(185\) | −1.97208 | + | 1.13858i | −0.144990 | + | 0.0837100i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.68124 | + | 3.85741i | 0.488580 | + | 0.282082i | ||||
\(188\) | −8.10236 | + | 5.95414i | −0.590925 | + | 0.434250i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.13535 | − | 21.7593i | −0.517652 | − | 1.57859i | ||||
\(191\) | −7.84498 | + | 13.5879i | −0.567643 | + | 0.983186i | 0.429156 | + | 0.903231i | \(0.358811\pi\) |
−0.996798 | + | 0.0799556i | \(0.974522\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.09152 | − | 15.7470i | −0.654422 | − | 1.13349i | −0.982038 | − | 0.188681i | \(-0.939579\pi\) |
0.327617 | − | 0.944811i | \(-0.393755\pi\) | |||||||
\(194\) | −0.175990 | − | 0.0369092i | −0.0126354 | − | 0.00264993i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.80406 | − | 12.7402i | −0.414576 | − | 0.910015i | ||||
\(197\) | − | 15.1305i | − | 1.07801i | −0.842304 | − | 0.539003i | \(-0.818801\pi\) | ||
0.842304 | − | 0.539003i | \(-0.181199\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.7163 | + | 7.34175i | −0.901434 | + | 0.520443i | −0.877665 | − | 0.479275i | \(-0.840900\pi\) |
−0.0237685 | + | 0.999717i | \(0.507566\pi\) | |||||||
\(200\) | 1.40295 | − | 14.4808i | 0.0992034 | − | 1.02395i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.32568 | + | 1.41848i | −0.304354 | + | 0.0998041i | ||||
\(203\) | 3.94342 | + | 1.50657i | 0.276774 | + | 0.105740i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −19.5247 | + | 33.8178i | −1.36366 | + | 2.36193i | ||||
\(206\) | 1.95168 | + | 1.74774i | 0.135980 | + | 0.121771i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 17.9065 | + | 19.4584i | 1.24159 | + | 1.34919i | ||||
\(209\) | − | 12.6929i | − | 0.877988i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 12.6913i | − | 0.873707i | −0.899533 | − | 0.436853i | \(-0.856093\pi\) | ||
0.899533 | − | 0.436853i | \(-0.143907\pi\) | |||||||
\(212\) | 16.5726 | − | 1.83281i | 1.13821 | − | 0.125878i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.53732 | + | 2.83340i | −0.173448 | + | 0.193687i | ||||
\(215\) | 5.93043 | − | 10.2718i | 0.404452 | − | 0.700532i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.52901 | − | 22.0548i | −0.239565 | − | 1.49718i | ||||
\(218\) | 1.02564 | + | 3.12769i | 0.0694648 | + | 0.211834i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.38943 | − | 14.5630i | 0.430776 | − | 0.981839i | ||||
\(221\) | −17.6916 | + | 10.2143i | −1.19007 | + | 0.687086i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 26.9731i | − | 1.80625i | −0.429377 | − | 0.903125i | \(-0.641267\pi\) | ||
0.429377 | − | 0.903125i | \(-0.358733\pi\) | |||||||
\(224\) | 14.7452 | − | 2.56497i | 0.985205 | − | 0.171379i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.926747 | + | 4.41891i | −0.0616463 | + | 0.293941i | ||||
\(227\) | −10.4418 | − | 18.0857i | −0.693045 | − | 1.20039i | −0.970835 | − | 0.239748i | \(-0.922935\pi\) |
0.277790 | − | 0.960642i | \(-0.410398\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.3698 | + | 17.9611i | −0.685258 | + | 1.18690i | 0.288097 | + | 0.957601i | \(0.406977\pi\) |
−0.973356 | + | 0.229301i | \(0.926356\pi\) | |||||||
\(230\) | −21.7315 | + | 7.12622i | −1.43293 | + | 0.469889i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.62280 | + | 3.67246i | −0.172196 | + | 0.241109i | ||||
\(233\) | −14.4007 | − | 8.31426i | −0.943422 | − | 0.544685i | −0.0523907 | − | 0.998627i | \(-0.516684\pi\) |
−0.891031 | + | 0.453942i | \(0.850017\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −13.8668 | + | 8.00597i | −0.904567 | + | 0.522252i | ||||
\(236\) | 2.36041 | + | 21.3433i | 0.153650 | + | 1.38933i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.555474 | + | 11.5488i | −0.0360060 | + | 0.748597i | ||||
\(239\) | 20.5645 | 1.33021 | 0.665104 | − | 0.746751i | \(-0.268387\pi\) | ||||
0.665104 | + | 0.746751i | \(0.268387\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.2591 | − | 19.5013i | −0.725262 | − | 1.25619i | −0.958866 | − | 0.283859i | \(-0.908385\pi\) |
0.233604 | − | 0.972332i | \(-0.424948\pi\) | |||||||
\(242\) | −4.49729 | + | 5.02208i | −0.289097 | + | 0.322831i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.21544 | − | 2.36291i | 0.205847 | − | 0.151270i | ||||
\(245\) | −6.95659 | − | 21.1813i | −0.444440 | − | 1.35322i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 29.1074 | + | 16.8051i | 1.85206 | + | 1.06929i | ||||
\(248\) | 23.7663 | + | 2.30255i | 1.50916 | + | 0.146212i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.132869 | − | 0.633545i | 0.00840336 | − | 0.0400689i | ||||
\(251\) | −5.03762 | −0.317972 | −0.158986 | − | 0.987281i | \(-0.550822\pi\) | ||||
−0.158986 | + | 0.987281i | \(0.550822\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.6767 | −0.796976 | ||||||||
\(254\) | −4.75132 | + | 22.6552i | −0.298124 | + | 1.42151i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.32677 | + | 15.9449i | −0.0829230 | + | 0.996556i | ||||
\(257\) | −2.41622 | − | 1.39501i | −0.150720 | − | 0.0870182i | 0.422743 | − | 0.906249i | \(-0.361067\pi\) |
−0.573463 | + | 0.819231i | \(0.694400\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.19279 | − | 1.46821i | −0.0741165 | − | 0.0912300i | ||||
\(260\) | 24.9364 | + | 33.9334i | 1.54649 | + | 2.10446i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −12.6996 | + | 14.1815i | −0.784582 | + | 0.876134i | ||||
\(263\) | 14.2092 | + | 24.6110i | 0.876176 | + | 1.51758i | 0.855504 | + | 0.517796i | \(0.173247\pi\) |
0.0206722 | + | 0.999786i | \(0.493419\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 26.5522 | 1.63109 | ||||||||
\(266\) | 16.9121 | − | 8.70894i | 1.03695 | − | 0.533980i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.00636252 | 0.000703648i | −0.000388653 | 4.29822e-5i | ||||||
\(269\) | −6.30707 | + | 3.64139i | −0.384549 | + | 0.222019i | −0.679796 | − | 0.733402i | \(-0.737932\pi\) |
0.295247 | + | 0.955421i | \(0.404598\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.46120 | + | 1.99832i | 0.210253 | + | 0.121390i | 0.601429 | − | 0.798926i | \(-0.294598\pi\) |
−0.391176 | + | 0.920316i | \(0.627932\pi\) | |||||||
\(272\) | −11.7962 | − | 3.69181i | −0.715252 | − | 0.223849i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 27.7134 | − | 9.08782i | 1.67423 | − | 0.549016i | ||||
\(275\) | 6.42094 | − | 11.1214i | 0.387197 | − | 0.670646i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.96864 | − | 17.2662i | −0.598958 | − | 1.03743i | −0.992975 | − | 0.118322i | \(-0.962248\pi\) |
0.394018 | − | 0.919103i | \(-0.371085\pi\) | |||||||
\(278\) | −0.489949 | + | 2.33617i | −0.0293852 | + | 0.140114i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 23.7878 | − | 1.47875i | 1.42160 | − | 0.0883721i | ||||
\(281\) | − | 13.3615i | − | 0.797082i | −0.917150 | − | 0.398541i | \(-0.869517\pi\) | ||
0.917150 | − | 0.398541i | \(-0.130483\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.4457 | − | 10.6496i | 1.09648 | − | 0.633054i | 0.161187 | − | 0.986924i | \(-0.448468\pi\) |
0.935295 | + | 0.353870i | \(0.115134\pi\) | |||||||
\(284\) | −22.7264 | − | 9.97104i | −1.34856 | − | 0.591673i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.27312 | + | 22.1795i | 0.430068 | + | 1.31150i | ||||
\(287\) | −30.3026 | − | 11.5770i | −1.78871 | − | 0.683367i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.72560 | + | 6.45293i | −0.219153 | + | 0.379584i | ||||
\(290\) | −4.79426 | + | 5.35370i | −0.281528 | + | 0.314380i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.421072 | + | 3.80741i | 0.0246414 | + | 0.222812i | ||||
\(293\) | 0.551006i | 0.0321901i | 0.999870 | + | 0.0160951i | \(0.00512344\pi\) | ||||
−0.999870 | + | 0.0160951i | \(0.994877\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 34.1955i | 1.99094i | ||||||||
\(296\) | 1.84068 | − | 0.837540i | 0.106988 | − | 0.0486810i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.17378 | + | 1.94663i | 0.125924 | + | 0.112765i | ||||
\(299\) | 16.7836 | − | 29.0701i | 0.970623 | − | 1.68117i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.20412 | + | 3.51639i | 0.530517 | + | 0.202681i | ||||
\(302\) | −5.31417 | + | 1.74263i | −0.305796 | + | 0.100277i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.44372 | + | 19.8448i | 0.254865 | + | 1.13817i | ||||
\(305\) | 5.50305 | − | 3.17719i | 0.315104 | − | 0.181925i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 3.49188i | − | 0.199292i | −0.995023 | − | 0.0996460i | \(-0.968229\pi\) | ||
0.995023 | − | 0.0996460i | \(-0.0317710\pi\) | |||||||
\(308\) | 12.7844 | + | 3.32966i | 0.728456 | + | 0.189725i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 37.2144 | + | 7.80472i | 2.11364 | + | 0.443278i | ||||
\(311\) | 6.52568 | + | 11.3028i | 0.370037 | + | 0.640924i | 0.989571 | − | 0.144047i | \(-0.0460115\pi\) |
−0.619533 | + | 0.784970i | \(0.712678\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.0472 | − | 17.4022i | 0.567899 | − | 0.983630i | −0.428875 | − | 0.903364i | \(-0.641090\pi\) |
0.996774 | − | 0.0802656i | \(-0.0255768\pi\) | |||||||
\(314\) | −0.850036 | − | 2.59220i | −0.0479703 | − | 0.146286i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.35988 | + | 11.3761i | 0.470280 | + | 0.639955i | ||||
\(317\) | −18.4393 | − | 10.6459i | −1.03565 | − | 0.597935i | −0.117055 | − | 0.993125i | \(-0.537345\pi\) |
−0.918599 | + | 0.395190i | \(0.870679\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.44978 | + | 1.99173i | −0.193150 | + | 0.111515i | ||||
\(320\) | −4.89113 | + | 25.0055i | −0.273423 | + | 1.39785i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −8.69780 | − | 16.8905i | −0.484710 | − | 0.941271i | ||||
\(323\) | −15.7103 | −0.874144 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 17.0024 | + | 29.4490i | 0.943122 | + | 1.63354i | ||||
\(326\) | 4.71223 | + | 4.21982i | 0.260986 | + | 0.233714i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 20.1545 | − | 28.2205i | 1.11285 | − | 1.55821i | ||||
\(329\) | −8.38717 | − | 10.3238i | −0.462400 | − | 0.569168i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.03493 | − | 2.32957i | −0.221780 | − | 0.128045i | 0.384994 | − | 0.922919i | \(-0.374203\pi\) |
−0.606774 | + | 0.794874i | \(0.707537\pi\) | |||||||
\(332\) | 14.5294 | + | 6.37469i | 0.797405 | + | 0.349856i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −14.6236 | − | 3.06690i | −0.800165 | − | 0.167813i | ||||
\(335\) | −0.0101938 | −0.000556948 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.41763 | −0.404064 | −0.202032 | − | 0.979379i | \(-0.564754\pi\) | ||||
−0.202032 | + | 0.979379i | \(0.564754\pi\) | |||||||
\(338\) | −42.4980 | − | 8.91280i | −2.31159 | − | 0.484793i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −18.0250 | − | 7.90834i | −0.977541 | − | 0.428890i | ||||
\(341\) | 18.2527 | + | 10.5382i | 0.988439 | + | 0.570675i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.4615 | − | 8.48645i | 0.888836 | − | 0.458225i | ||||
\(344\) | −6.12174 | + | 8.57169i | −0.330062 | + | 0.462154i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.14632 | + | 1.02653i | 0.0616263 | + | 0.0551866i | ||||
\(347\) | 6.28113 | + | 10.8792i | 0.337188 | + | 0.584028i | 0.983903 | − | 0.178705i | \(-0.0571907\pi\) |
−0.646714 | + | 0.762732i | \(0.723857\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.6865 | −0.893208 | −0.446604 | − | 0.894732i | \(-0.647367\pi\) | ||||
−0.446604 | + | 0.894732i | \(0.647367\pi\) | |||||||
\(350\) | 19.2238 | + | 0.924626i | 1.02756 | + | 0.0494234i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.89496 | + | 12.3255i | −0.367502 | + | 0.656952i | ||||
\(353\) | −9.31826 | + | 5.37990i | −0.495961 | + | 0.286343i | −0.727044 | − | 0.686591i | \(-0.759106\pi\) |
0.231083 | + | 0.972934i | \(0.425773\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −34.2261 | − | 19.7605i | −1.81653 | − | 1.04878i | ||||
\(356\) | 0.660443 | + | 0.898728i | 0.0350034 | + | 0.0476325i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.83400 | − | 20.8404i | −0.361188 | − | 1.10145i | ||||
\(359\) | 13.8374 | − | 23.9670i | 0.730309 | − | 1.26493i | −0.226442 | − | 0.974025i | \(-0.572709\pi\) |
0.956751 | − | 0.290908i | \(-0.0939573\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.42378 | + | 5.93017i | 0.180199 | + | 0.312114i | ||||
\(362\) | 8.72022 | + | 1.82883i | 0.458324 | + | 0.0961212i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −24.5618 | + | 24.9087i | −1.28739 | + | 1.30557i | ||||
\(365\) | 6.10012i | 0.319295i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.00186 | − | 1.15577i | 0.104496 | − | 0.0603308i | −0.446841 | − | 0.894613i | \(-0.647451\pi\) |
0.551337 | + | 0.834282i | \(0.314118\pi\) | |||||||
\(368\) | 19.8194 | − | 4.43804i | 1.03316 | − | 0.231349i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.06006 | − | 1.00346i | 0.159085 | − | 0.0521674i | ||||
\(371\) | 3.48506 | + | 21.7801i | 0.180935 | + | 1.13077i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.61557 | − | 7.99441i | 0.238985 | − | 0.413935i | −0.721438 | − | 0.692479i | \(-0.756519\pi\) |
0.960423 | + | 0.278544i | \(0.0898519\pi\) | |||||||
\(374\) | −8.12779 | − | 7.27847i | −0.420278 | − | 0.376361i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12.9428 | − | 5.88920i | 0.667476 | − | 0.303712i | ||||
\(377\) | − | 10.5480i | − | 0.543251i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.38441i | 0.482045i | 0.970520 | + | 0.241022i | \(0.0774827\pi\) | ||||
−0.970520 | + | 0.241022i | \(0.922517\pi\) | |||||||
\(380\) | 3.55980 | + | 32.1883i | 0.182614 | + | 1.65123i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 14.8025 | − | 16.5298i | 0.757363 | − | 0.845739i | ||||
\(383\) | 5.31186 | − | 9.20042i | 0.271424 | − | 0.470119i | −0.697803 | − | 0.716290i | \(-0.745839\pi\) |
0.969227 | + | 0.246170i | \(0.0791723\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 19.6524 | + | 7.50809i | 1.00158 | + | 0.382648i | ||||
\(386\) | 8.01259 | + | 24.4345i | 0.407830 | + | 1.24368i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.232875 | + | 0.102172i | 0.0118224 | + | 0.00518701i | ||||
\(389\) | 15.4666 | − | 8.92965i | 0.784188 | − | 0.452751i | −0.0537245 | − | 0.998556i | \(-0.517109\pi\) |
0.837912 | + | 0.545805i | \(0.183776\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 15.6902i | 0.793487i | ||||||||
\(392\) | 4.33522 | + | 19.3185i | 0.218962 | + | 0.975733i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.39206 | + | 20.9422i | −0.221269 | + | 1.05505i | ||||
\(395\) | 11.2408 | + | 19.4696i | 0.565584 | + | 0.979620i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.96912 | − | 6.87472i | 0.199204 | − | 0.345032i | −0.749066 | − | 0.662495i | \(-0.769498\pi\) |
0.948271 | + | 0.317463i | \(0.102831\pi\) | |||||||
\(398\) | 19.7318 | − | 6.47047i | 0.989065 | − | 0.324336i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.14529 | + | 19.6357i | −0.307264 | + | 0.981785i | ||||
\(401\) | −5.23636 | − | 3.02322i | −0.261491 | − | 0.150972i | 0.363523 | − | 0.931585i | \(-0.381574\pi\) |
−0.625015 | + | 0.780613i | \(0.714907\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −48.3323 | + | 27.9047i | −2.40761 | + | 1.39003i | ||||
\(404\) | 6.39893 | − | 0.707675i | 0.318359 | − | 0.0352082i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.02078 | − | 3.22993i | −0.249177 | − | 0.160299i | ||||
\(407\) | 1.78503 | 0.0884808 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.4850 | + | 25.0887i | 0.716237 | + | 1.24056i | 0.962481 | + | 0.271351i | \(0.0874703\pi\) |
−0.246244 | + | 0.969208i | \(0.579196\pi\) | |||||||
\(410\) | 36.8407 | − | 41.1396i | 1.81943 | − | 2.03174i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.19400 | − | 2.98558i | −0.108091 | − | 0.147089i | ||||
\(413\) | −28.0498 | + | 4.48827i | −1.38024 | + | 0.220854i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 21.8814 | + | 12.6333i | 1.07412 | + | 0.620142i | ||||
\(416\) | −19.1361 | − | 32.1302i | −0.938223 | − | 1.57531i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.68447 | + | 17.5683i | −0.180214 | + | 0.859293i | ||||
\(419\) | 23.3784 | 1.14211 | 0.571054 | − | 0.820913i | \(-0.306535\pi\) | ||||
0.571054 | + | 0.820913i | \(0.306535\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.0596 | 0.928910 | 0.464455 | − | 0.885597i | \(-0.346250\pi\) | ||||
0.464455 | + | 0.885597i | \(0.346250\pi\) | |||||||
\(422\) | −3.68401 | + | 17.5661i | −0.179335 | + | 0.855104i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −23.4702 | − | 2.27387i | −1.13982 | − | 0.110429i | ||||
\(425\) | −13.7652 | − | 7.94734i | −0.667710 | − | 0.385502i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.32847 | + | 4.09701i | 0.161076 | + | 0.198268i | ||||
\(428\) | 4.33439 | − | 3.18519i | 0.209511 | − | 0.153962i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −11.1900 | + | 12.4958i | −0.539630 | + | 0.602599i | ||||
\(431\) | 6.24488 | + | 10.8164i | 0.300805 | + | 0.521010i | 0.976319 | − | 0.216338i | \(-0.0694113\pi\) |
−0.675513 | + | 0.737348i | \(0.736078\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.0419 | 1.01121 | 0.505604 | − | 0.862766i | \(-0.331270\pi\) | ||||
0.505604 | + | 0.862766i | \(0.331270\pi\) | |||||||
\(434\) | −1.51752 | + | 31.5506i | −0.0728432 | + | 1.51447i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.511686 | − | 4.62676i | −0.0245053 | − | 0.221582i | ||||
\(437\) | 22.3560 | − | 12.9073i | 1.06943 | − | 0.617438i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −27.9142 | − | 16.1163i | −1.33227 | − | 0.769189i | −0.346626 | − | 0.938003i | \(-0.612673\pi\) |
−0.985648 | + | 0.168815i | \(0.946006\pi\) | |||||||
\(440\) | −13.0710 | + | 18.3020i | −0.623133 | + | 0.872514i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 27.4520 | − | 9.00209i | 1.30576 | − | 0.428186i | ||||
\(443\) | −1.90658 | + | 3.30230i | −0.0905844 | + | 0.156897i | −0.907757 | − | 0.419496i | \(-0.862207\pi\) |
0.817173 | + | 0.576393i | \(0.195540\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.888036 | + | 1.53812i | 0.0420970 | + | 0.0729141i | ||||
\(446\) | −7.82969 | + | 37.3335i | −0.370746 | + | 1.76779i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −21.1534 | − | 0.730030i | −0.999405 | − | 0.0344907i | ||||
\(449\) | − | 33.6975i | − | 1.59028i | −0.606425 | − | 0.795141i | \(-0.707397\pi\) | ||
0.606425 | − | 0.795141i | \(-0.292603\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 26.5093 | − | 15.3051i | 1.24827 | − | 0.720691i | ||||
\(452\) | 2.56542 | − | 5.84721i | 0.120667 | − | 0.275030i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.20261 | + | 28.0635i | 0.431900 | + | 1.31708i | ||||
\(455\) | −43.2368 | + | 35.1262i | −2.02697 | + | 1.64674i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.8270 | − | 22.2171i | 0.600023 | − | 1.03927i | −0.392794 | − | 0.919626i | \(-0.628491\pi\) |
0.992817 | − | 0.119644i | \(-0.0381752\pi\) | |||||||
\(458\) | 19.5666 | − | 21.8498i | 0.914289 | − | 1.02098i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 32.1472 | − | 3.55524i | 1.49887 | − | 0.165764i | ||||
\(461\) | 12.8586i | 0.598884i | 0.954115 | + | 0.299442i | \(0.0968005\pi\) | ||||
−0.954115 | + | 0.299442i | \(0.903200\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.0540i | 0.699619i | 0.936821 | + | 0.349809i | \(0.113754\pi\) | ||||
−0.936821 | + | 0.349809i | \(0.886246\pi\) | |||||||
\(464\) | 4.69626 | − | 4.32172i | 0.218019 | − | 0.200631i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 17.5186 | + | 15.6880i | 0.811534 | + | 0.726732i | ||||
\(467\) | 5.85210 | − | 10.1361i | 0.270803 | − | 0.469044i | −0.698265 | − | 0.715840i | \(-0.746044\pi\) |
0.969068 | + | 0.246795i | \(0.0793775\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.00133797 | − | 0.00836177i | −6.17819e−5 | − | 0.000386111i | ||||
\(470\) | 21.5170 | − | 7.05587i | 0.992503 | − | 0.325463i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.92843 | − | 30.2264i | 0.134792 | − | 1.39128i | ||||
\(473\) | −8.05193 | + | 4.64878i | −0.370228 | + | 0.213751i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 26.1509i | 1.19989i | ||||||||
\(476\) | 4.12119 | − | 15.8235i | 0.188895 | − | 0.725268i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −28.4634 | − | 5.96943i | −1.30189 | − | 0.273035i | ||||
\(479\) | −15.5454 | − | 26.9254i | −0.710287 | − | 1.23025i | −0.964749 | − | 0.263170i | \(-0.915232\pi\) |
0.254462 | − | 0.967083i | \(-0.418102\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.36335 | + | 4.09343i | −0.107759 | + | 0.186645i | ||||
\(482\) | 9.92293 | + | 30.2601i | 0.451977 | + | 1.37831i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.68251 | − | 5.64560i | 0.349205 | − | 0.256618i | ||||
\(485\) | 0.350712 | + | 0.202483i | 0.0159250 | + | 0.00919430i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.79848 | − | 2.77040i | 0.217440 | − | 0.125539i | −0.387324 | − | 0.921943i | \(-0.626601\pi\) |
0.604764 | + | 0.796405i | \(0.293267\pi\) | |||||||
\(488\) | −5.13639 | + | 2.33714i | −0.232514 | + | 0.105797i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.48017 | + | 31.3364i | 0.157218 | + | 1.41564i | ||||
\(491\) | −30.3204 | −1.36834 | −0.684171 | − | 0.729321i | \(-0.739836\pi\) | ||||
−0.684171 | + | 0.729321i | \(0.739836\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.46521 | + | 4.26986i | 0.111027 | + | 0.192305i | ||||
\(494\) | −35.4094 | − | 31.7093i | −1.59314 | − | 1.42667i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −32.2266 | − | 10.0858i | −1.44702 | − | 0.452865i | ||||
\(497\) | 11.7168 | − | 30.6685i | 0.525569 | − | 1.37567i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.9203 | + | 6.88217i | 0.533624 | + | 0.308088i | 0.742491 | − | 0.669856i | \(-0.233644\pi\) |
−0.208867 | + | 0.977944i | \(0.566978\pi\) | |||||||
\(500\) | −0.367808 | + | 0.838321i | −0.0164489 | + | 0.0374909i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.97258 | + | 1.46231i | 0.311201 | + | 0.0652661i | ||||
\(503\) | 5.66994 | 0.252810 | 0.126405 | − | 0.991979i | \(-0.459656\pi\) | ||||
0.126405 | + | 0.991979i | \(0.459656\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.2522 | 0.456216 | ||||||||
\(506\) | 17.5458 | + | 3.67976i | 0.780007 | + | 0.163585i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 13.1526 | − | 29.9779i | 0.583553 | − | 1.33006i | ||||
\(509\) | −23.9698 | − | 13.8390i | −1.06244 | − | 0.613401i | −0.136335 | − | 0.990663i | \(-0.543532\pi\) |
−0.926107 | + | 0.377262i | \(0.876866\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.00379 | + | 0.800661i | −0.221355 | + | 0.0354192i | ||||
\(512\) | 6.46483 | − | 21.6842i | 0.285708 | − | 0.958317i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.93936 | + | 2.63221i | 0.129650 | + | 0.116102i | ||||
\(515\) | −2.95006 | − | 5.10966i | −0.129995 | − | 0.225159i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.5515 | 0.552016 | ||||||||
\(518\) | 1.22476 | + | 2.37839i | 0.0538128 | + | 0.104501i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −24.6645 | − | 54.2057i | −1.08161 | − | 2.37708i | ||||
\(521\) | 4.14916 | − | 2.39552i | 0.181778 | − | 0.104950i | −0.406350 | − | 0.913718i | \(-0.633199\pi\) |
0.588128 | + | 0.808768i | \(0.299865\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.54438 | + | 3.77840i | 0.286166 | + | 0.165218i | 0.636211 | − | 0.771515i | \(-0.280501\pi\) |
−0.350046 | + | 0.936733i | \(0.613834\pi\) | |||||||
\(524\) | 21.6941 | − | 15.9422i | 0.947709 | − | 0.696438i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.5229 | − | 38.1888i | −0.546026 | − | 1.66511i | ||||
\(527\) | 13.0434 | − | 22.5917i | 0.568177 | − | 0.984112i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.39074 | − | 2.40883i | −0.0604670 | − | 0.104732i | ||||
\(530\) | −36.7509 | − | 7.70751i | −1.59636 | − | 0.334793i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −25.9361 | + | 7.14485i | −1.12447 | + | 0.309768i | ||||
\(533\) | 81.0547i | 3.51087i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.41808 | − | 4.28283i | 0.320711 | − | 0.185163i | ||||
\(536\) | 0.00901063 | 0.000872978i | 0.000389200 | 3.77069e-5i | ||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 9.78665 | − | 3.20925i | 0.421932 | − | 0.138361i | ||||
\(539\) | −3.57928 | + | 17.1058i | −0.154170 | + | 0.736801i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.7589 | + | 18.6349i | −0.462560 | + | 0.801177i | −0.999088 | − | 0.0427053i | \(-0.986402\pi\) |
0.536528 | + | 0.843883i | \(0.319736\pi\) | |||||||
\(542\) | −4.21058 | − | 3.77059i | −0.180860 | − | 0.161961i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 15.2556 | + | 8.53404i | 0.654077 | + | 0.365894i | ||||
\(545\) | − | 7.41285i | − | 0.317532i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 10.1856i | − | 0.435505i | −0.976004 | − | 0.217752i | \(-0.930128\pi\) | ||
0.976004 | − | 0.217752i | \(-0.0698725\pi\) | |||||||
\(548\) | −40.9962 | + | 4.53388i | −1.75127 | + | 0.193678i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −12.1155 | + | 13.5293i | −0.516608 | + | 0.576891i | ||||
\(551\) | 4.05591 | − | 7.02505i | 0.172788 | − | 0.299277i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.4950 | + | 11.7760i | −0.616392 | + | 0.500765i | ||||
\(554\) | 8.78562 | + | 26.7919i | 0.373265 | + | 1.13828i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.35628 | − | 3.09128i | 0.0575191 | − | 0.131100i | ||||
\(557\) | −32.7379 | + | 18.9012i | −1.38715 | + | 0.800871i | −0.992993 | − | 0.118173i | \(-0.962296\pi\) |
−0.394156 | + | 0.919044i | \(0.628963\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 24.6196i | − | 1.04130i | ||||||
\(560\) | −33.3541 | − | 4.85835i | −1.40947 | − | 0.205303i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.87856 | + | 18.4937i | −0.163607 | + | 0.780111i | ||||
\(563\) | −10.9769 | − | 19.0126i | −0.462623 | − | 0.801286i | 0.536468 | − | 0.843921i | \(-0.319758\pi\) |
−0.999091 | + | 0.0426347i | \(0.986425\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.08412 | − | 8.80595i | 0.213890 | − | 0.370469i | ||||
\(566\) | −28.6221 | + | 9.38579i | −1.20307 | + | 0.394514i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 28.5612 | + | 20.3979i | 1.19840 | + | 0.855877i | ||||
\(569\) | 11.2711 | + | 6.50737i | 0.472509 | + | 0.272803i | 0.717289 | − | 0.696775i | \(-0.245383\pi\) |
−0.244781 | + | 0.969578i | \(0.578716\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 24.3678 | − | 14.0688i | 1.01976 | − | 0.588760i | 0.105727 | − | 0.994395i | \(-0.466283\pi\) |
0.914035 | + | 0.405635i | \(0.132950\pi\) | |||||||
\(572\) | −3.62853 | − | 32.8099i | −0.151717 | − | 1.37185i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 38.5814 | + | 24.8199i | 1.61036 | + | 1.03596i | ||||
\(575\) | 26.1175 | 1.08917 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.72878 | − | 16.8507i | −0.405014 | − | 0.701505i | 0.589309 | − | 0.807908i | \(-0.299400\pi\) |
−0.994323 | + | 0.106403i | \(0.966067\pi\) | |||||||
\(578\) | 7.02975 | − | 7.85005i | 0.292399 | − | 0.326519i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 8.18980 | − | 6.01840i | 0.340063 | − | 0.249900i | ||||
\(581\) | −7.49076 | + | 19.6070i | −0.310769 | + | 0.813435i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.0253 | − | 10.4069i | −0.746534 | − | 0.431011i | ||||
\(584\) | 0.522401 | − | 5.39208i | 0.0216171 | − | 0.223126i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.159945 | − | 0.762649i | 0.00660727 | − | 0.0315047i | ||||
\(587\) | 17.0416 | 0.703384 | 0.351692 | − | 0.936116i | \(-0.385607\pi\) | ||||
0.351692 | + | 0.936116i | \(0.385607\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −42.9195 | −1.76847 | ||||||||
\(590\) | 9.92620 | − | 47.3301i | 0.408655 | − | 1.94855i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.79081 | + | 0.624931i | −0.114702 | + | 0.0256845i | ||||
\(593\) | 34.0062 | + | 19.6335i | 1.39647 | + | 0.806251i | 0.994021 | − | 0.109192i | \(-0.0348262\pi\) |
0.402448 | + | 0.915443i | \(0.368160\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 9.29292 | − | 24.3241i | 0.380973 | − | 0.997193i | ||||
\(596\) | −2.44367 | − | 3.32534i | −0.100097 | − | 0.136211i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −31.6687 | + | 35.3641i | −1.29503 | + | 1.44615i | ||||
\(599\) | −2.41297 | − | 4.17938i | −0.0985912 | − | 0.170765i | 0.812511 | − | 0.582946i | \(-0.198100\pi\) |
−0.911102 | + | 0.412182i | \(0.864767\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.5618 | −0.716363 | −0.358181 | − | 0.933652i | \(-0.616603\pi\) | ||||
−0.358181 | + | 0.933652i | \(0.616603\pi\) | |||||||
\(602\) | −11.7187 | − | 7.53880i | −0.477619 | − | 0.307258i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.86121 | − | 0.869392i | 0.319868 | − | 0.0353751i | ||||
\(605\) | 13.1482 | − | 7.59112i | 0.534550 | − | 0.308623i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.967882 | + | 0.558807i | 0.0392851 | + | 0.0226813i | 0.519514 | − | 0.854462i | \(-0.326113\pi\) |
−0.480229 | + | 0.877143i | \(0.659446\pi\) | |||||||
\(608\) | −0.390068 | − | 28.7571i | −0.0158194 | − | 1.16625i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.53905 | + | 2.80014i | −0.345736 | + | 0.113374i | ||||
\(611\) | −16.6180 | + | 28.7832i | −0.672291 | + | 1.16444i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.2827 | + | 36.8627i | 0.859599 | + | 1.48887i | 0.872312 | + | 0.488950i | \(0.162620\pi\) |
−0.0127126 | + | 0.999919i | \(0.504047\pi\) | |||||||
\(614\) | −1.01362 | + | 4.83312i | −0.0409062 | + | 0.195049i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −16.7283 | − | 8.31961i | −0.674004 | − | 0.335207i | ||||
\(617\) | 13.9753i | 0.562625i | 0.959616 | + | 0.281313i | \(0.0907698\pi\) | ||||
−0.959616 | + | 0.281313i | \(0.909230\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −26.7181 | + | 15.4257i | −1.07389 | + | 0.620012i | −0.929242 | − | 0.369470i | \(-0.879539\pi\) |
−0.144650 | + | 0.989483i | \(0.546206\pi\) | |||||||
\(620\) | −49.2430 | − | 21.6051i | −1.97765 | − | 0.867680i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −5.75125 | − | 17.5385i | −0.230604 | − | 0.703230i | ||||
\(623\) | −1.14513 | + | 0.930320i | −0.0458787 | + | 0.0372725i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.1304 | − | 21.0104i | 0.485215 | − | 0.840417i | ||||
\(626\) | −18.9578 | + | 21.1699i | −0.757704 | + | 0.846121i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.424080 | + | 3.83461i | 0.0169226 | + | 0.153018i | ||||
\(629\) | − | 2.20937i | − | 0.0880935i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.5528i | 1.09686i | 0.836197 | + | 0.548429i | \(0.184774\pi\) | ||||
−0.836197 | + | 0.548429i | \(0.815226\pi\) | |||||||
\(632\) | −8.26870 | − | 18.1724i | −0.328911 | − | 0.722857i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 22.4316 | + | 20.0876i | 0.890873 | + | 0.797780i | ||||
\(635\) | 26.0656 | − | 45.1470i | 1.03438 | − | 1.79161i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −34.4882 | − | 30.8558i | −1.36647 | − | 1.22255i | ||||
\(638\) | 5.35300 | − | 1.75536i | 0.211927 | − | 0.0694955i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 14.0284 | − | 33.1904i | 0.554520 | − | 1.31196i | ||||
\(641\) | 15.1145 | − | 8.72634i | 0.596986 | − | 0.344670i | −0.170869 | − | 0.985294i | \(-0.554658\pi\) |
0.767855 | + | 0.640624i | \(0.221324\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.1663i | 0.716409i | 0.933643 | + | 0.358205i | \(0.116611\pi\) | ||||
−0.933643 | + | 0.358205i | \(0.883389\pi\) | |||||||
\(644\) | 7.13571 | + | 25.9030i | 0.281186 | + | 1.02072i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 21.7447 | + | 4.56035i | 0.855532 | + | 0.179425i | ||||
\(647\) | −23.0188 | − | 39.8697i | −0.904961 | − | 1.56744i | −0.820969 | − | 0.570973i | \(-0.806566\pi\) |
−0.0839921 | − | 0.996466i | \(-0.526767\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.4027 | − | 23.2142i | 0.526102 | − | 0.911235i | ||||
\(650\) | −14.9846 | − | 45.6958i | −0.587746 | − | 1.79234i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.29729 | − | 7.20852i | −0.207458 | − | 0.282308i | ||||
\(653\) | 26.5274 | + | 15.3156i | 1.03810 | + | 0.599345i | 0.919293 | − | 0.393573i | \(-0.128761\pi\) |
0.118803 | + | 0.992918i | \(0.462094\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 37.1282 | − | 21.4360i | 1.45072 | − | 0.837573i | ||||
\(656\) | −36.0877 | + | 33.2096i | −1.40899 | + | 1.29662i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.61194 | + | 16.7238i | 0.335728 | + | 0.651960i | ||||
\(659\) | −23.5790 | −0.918508 | −0.459254 | − | 0.888305i | \(-0.651883\pi\) | ||||
−0.459254 | + | 0.888305i | \(0.651883\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.01914 | − | 13.8896i | −0.311908 | − | 0.540241i | 0.666867 | − | 0.745177i | \(-0.267635\pi\) |
−0.978775 | + | 0.204936i | \(0.934302\pi\) | |||||||
\(662\) | 4.90854 | + | 4.39562i | 0.190776 | + | 0.170840i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −18.2598 | − | 13.0408i | −0.708616 | − | 0.506081i | ||||
\(665\) | −42.3027 | + | 6.76889i | −1.64043 | + | 0.262486i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.01606 | − | 4.05072i | −0.271663 | − | 0.156845i | ||||
\(668\) | 19.3502 | + | 8.48979i | 0.748683 | + | 0.328480i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.0141093 | + | 0.00295904i | 0.000545090 | + | 0.000114318i | ||||
\(671\) | −4.98110 | −0.192293 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −44.4724 | −1.71429 | −0.857143 | − | 0.515079i | \(-0.827763\pi\) | ||||
−0.857143 | + | 0.515079i | \(0.827763\pi\) | |||||||
\(674\) | 10.2668 | + | 2.15317i | 0.395461 | + | 0.0829372i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 56.2344 | + | 24.6725i | 2.16286 | + | 0.948941i | ||||
\(677\) | 9.48306 | + | 5.47505i | 0.364464 | + | 0.210423i | 0.671037 | − | 0.741424i | \(-0.265849\pi\) |
−0.306573 | + | 0.951847i | \(0.599182\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.120061 | + | 0.314257i | −0.00460750 | + | 0.0120601i | ||||
\(680\) | 22.6528 | + | 16.1782i | 0.868695 | + | 0.620406i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −22.2046 | − | 19.8843i | −0.850258 | − | 0.761409i | ||||
\(683\) | 4.06412 | + | 7.03927i | 0.155509 | + | 0.269350i | 0.933244 | − | 0.359242i | \(-0.116965\pi\) |
−0.777735 | + | 0.628592i | \(0.783631\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −65.6828 | −2.50961 | ||||||||
\(686\) | −25.2478 | + | 6.96771i | −0.963965 | + | 0.266029i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 10.9613 | − | 10.0871i | 0.417895 | − | 0.384567i | ||||
\(689\) | 47.7303 | − | 27.5571i | 1.81838 | − | 1.04984i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.95759 | + | 5.17166i | 0.340763 | + | 0.196739i | 0.660609 | − | 0.750730i | \(-0.270298\pi\) |
−0.319847 | + | 0.947469i | \(0.603631\pi\) | |||||||
\(692\) | −1.28864 | − | 1.75357i | −0.0489867 | − | 0.0666609i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.53572 | − | 16.8812i | −0.210133 | − | 0.640803i | ||||
\(695\) | 2.68785 | − | 4.65550i | 0.101956 | − | 0.176593i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −18.9435 | − | 32.8111i | −0.717536 | − | 1.24281i | ||||
\(698\) | 23.0958 | + | 4.84373i | 0.874190 | + | 0.183338i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −26.3393 | − | 6.86002i | −0.995532 | − | 0.259285i | ||||
\(701\) | − | 36.9229i | − | 1.39456i | −0.716800 | − | 0.697279i | \(-0.754394\pi\) | ||
0.716800 | − | 0.697279i | \(-0.245606\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.14800 | + | 1.81750i | −0.118729 | + | 0.0685483i | ||||
\(704\) | 13.1212 | − | 15.0583i | 0.494522 | − | 0.567532i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.4591 | − | 4.74145i | 0.544175 | − | 0.178447i | ||||
\(707\) | 1.34563 | + | 8.40963i | 0.0506077 | + | 0.316277i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.4835 | + | 26.8182i | −0.581494 | + | 1.00718i | 0.413808 | + | 0.910364i | \(0.364198\pi\) |
−0.995303 | + | 0.0968137i | \(0.969135\pi\) | |||||||
\(710\) | 41.6364 | + | 37.2856i | 1.56259 | + | 1.39930i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.653240 | − | 1.43564i | −0.0244812 | − | 0.0538030i | ||||
\(713\) | 42.8646i | 1.60529i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 52.5669i | − | 1.96589i | ||||||
\(716\) | 3.40946 | + | 30.8289i | 0.127417 | + | 1.15213i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −26.1095 | + | 29.1562i | −0.974396 | + | 1.08810i | ||||
\(719\) | −23.5411 | + | 40.7744i | −0.877936 | + | 1.52063i | −0.0243332 | + | 0.999704i | \(0.507746\pi\) |
−0.853602 | + | 0.520925i | \(0.825587\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.80413 | − | 3.09053i | 0.141673 | − | 0.115097i | ||||
\(722\) | −3.01747 | − | 9.20181i | −0.112299 | − | 0.342456i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.5388 | − | 5.06257i | −0.428836 | − | 0.188149i | ||||
\(725\) | 7.10750 | − | 4.10351i | 0.263966 | − | 0.152401i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 23.8977i | − | 0.886317i | −0.896443 | − | 0.443158i | \(-0.853858\pi\) | ||
0.896443 | − | 0.443158i | \(-0.146142\pi\) | |||||||
\(728\) | 41.2265 | − | 27.3464i | 1.52795 | − | 1.01352i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.77073 | − | 8.44319i | 0.0655377 | − | 0.312496i | ||||
\(731\) | 5.75390 | + | 9.96605i | 0.212816 | + | 0.368608i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.4989 | + | 33.7731i | −0.720210 | + | 1.24744i | 0.240706 | + | 0.970598i | \(0.422621\pi\) |
−0.960916 | + | 0.276842i | \(0.910712\pi\) | |||||||
\(734\) | −3.10627 | + | 1.01861i | −0.114654 | + | 0.0375977i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −28.7203 | + | 0.389569i | −1.05864 | + | 0.0143597i | ||||
\(737\) | 0.00692024 | + | 0.00399540i | 0.000254910 | + | 0.000147173i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −19.5445 | + | 11.2840i | −0.718957 | + | 0.415090i | −0.814369 | − | 0.580348i | \(-0.802917\pi\) |
0.0954118 | + | 0.995438i | \(0.469583\pi\) | |||||||
\(740\) | −4.52672 | + | 0.500622i | −0.166406 | + | 0.0184032i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.49862 | − | 31.1576i | 0.0550160 | − | 1.14383i | ||||
\(743\) | −25.8493 | −0.948319 | −0.474159 | − | 0.880439i | \(-0.657248\pi\) | ||||
−0.474159 | + | 0.880439i | \(0.657248\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.28578 | − | 5.69114i | −0.120382 | − | 0.208507i | ||||
\(746\) | −8.70903 | + | 9.72528i | −0.318860 | + | 0.356068i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.13691 | + | 12.4335i | 0.334079 | + | 0.454612i | ||||
\(749\) | 4.48675 | + | 5.52274i | 0.163942 | + | 0.201797i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −37.3627 | − | 21.5714i | −1.36339 | − | 0.787151i | −0.373313 | − | 0.927706i | \(-0.621778\pi\) |
−0.990073 | + | 0.140555i | \(0.955111\pi\) | |||||||
\(752\) | −19.6237 | + | 4.39423i | −0.715604 | + | 0.160241i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.06186 | + | 14.5995i | −0.111506 | + | 0.531684i | ||||
\(755\) | 12.5950 | 0.458378 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.176821 | 0.00642668 | 0.00321334 | − | 0.999995i | \(-0.498977\pi\) | ||||
0.00321334 | + | 0.999995i | \(0.498977\pi\) | |||||||
\(758\) | 2.72409 | − | 12.9890i | 0.0989433 | − | 0.471781i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.41645 | − | 45.5853i | 0.160201 | − | 1.65355i | ||||
\(761\) | 26.2278 | + | 15.1426i | 0.950758 | + | 0.548920i | 0.893316 | − | 0.449429i | \(-0.148372\pi\) |
0.0574416 | + | 0.998349i | \(0.481706\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.08059 | − | 0.972961i | 0.220132 | − | 0.0352235i | ||||
\(764\) | −25.2864 | + | 18.5821i | −0.914832 | + | 0.672277i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.0228 | + | 11.1924i | −0.362140 | + | 0.404398i | ||||
\(767\) | 35.4898 | + | 61.4701i | 1.28146 | + | 2.21956i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 48.5276 | 1.74995 | 0.874974 | − | 0.484169i | \(-0.160878\pi\) | ||||
0.874974 | + | 0.484169i | \(0.160878\pi\) | |||||||
\(770\) | −25.0214 | − | 16.0966i | −0.901710 | − | 0.580082i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.99745 | − | 36.1457i | −0.143871 | − | 1.30091i | ||||
\(773\) | −3.70357 | + | 2.13826i | −0.133208 | + | 0.0769078i | −0.565123 | − | 0.825007i | \(-0.691171\pi\) |
0.431915 | + | 0.901914i | \(0.357838\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −37.6056 | − | 21.7116i | −1.35083 | − | 0.779904i | ||||
\(776\) | −0.292664 | − | 0.209015i | −0.0105060 | − | 0.00750321i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −23.9994 | + | 7.86993i | −0.860422 | + | 0.282151i | ||||
\(779\) | −31.1670 | + | 53.9829i | −1.11667 | + | 1.93414i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 15.4900 | + | 26.8294i | 0.554274 | + | 0.960031i | ||||
\(782\) | 4.55452 | − | 21.7168i | 0.162869 | − | 0.776592i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.392637 | − | 27.9972i | −0.0140228 | − | 0.999902i | ||||
\(785\) | 6.14369i | 0.219278i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.2769 | − | 6.51073i | 0.401979 | − | 0.232083i | −0.285359 | − | 0.958421i | \(-0.592113\pi\) |
0.687337 | + | 0.726338i | \(0.258779\pi\) | |||||||
\(788\) | 12.1581 | − | 27.7112i | 0.433115 | − | 0.987171i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −9.90677 | − | 30.2108i | −0.352467 | − | 1.07485i | ||||
\(791\) | 7.89063 | + | 3.01458i | 0.280558 | + | 0.107186i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.59487 | − | 11.4227i | 0.234191 | − | 0.405630i | ||||
\(794\) | −7.48924 | + | 8.36316i | −0.265783 | + | 0.296797i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −29.1890 | + | 3.22810i | −1.03458 | + | 0.114417i | ||||
\(797\) | 14.3145i | 0.507044i | 0.967330 | + | 0.253522i | \(0.0815891\pi\) | ||||
−0.967330 | + | 0.253522i | \(0.918411\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 15.5353i | − | 0.549600i | ||||||
\(800\) | 14.2055 | − | 25.3940i | 0.502241 | − | 0.897813i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.37009 | + | 5.70444i | 0.224936 | + | 0.201431i | ||||
\(803\) | 2.39090 | − | 4.14116i | 0.0843730 | − | 0.146138i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.76023 | + | 42.2485i | 0.238267 | + | 1.48907i | ||||
\(806\) | 74.9970 | − | 24.5931i | 2.64166 | − | 0.866256i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.06220 | − | 0.877974i | −0.318807 | − | 0.0308870i | ||||
\(809\) | 27.1605 | − | 15.6811i | 0.954911 | − | 0.551318i | 0.0603080 | − | 0.998180i | \(-0.480792\pi\) |
0.894603 | + | 0.446862i | \(0.147458\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 6.06315i | − | 0.212906i | −0.994318 | − | 0.106453i | \(-0.966051\pi\) | ||
0.994318 | − | 0.106453i | \(-0.0339493\pi\) | |||||||
\(812\) | 6.01169 | + | 5.92797i | 0.210969 | + | 0.208031i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.47067 | − | 0.518156i | −0.0865969 | − | 0.0181614i | ||||
\(815\) | −7.12277 | − | 12.3370i | −0.249500 | − | 0.432146i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 9.46668 | − | 16.3968i | 0.331197 | − | 0.573650i | ||||
\(818\) | −12.7660 | − | 38.9301i | −0.446353 | − | 1.36116i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −62.9333 | + | 46.2474i | −2.19772 | + | 1.61503i | ||||
\(821\) | 14.9421 | + | 8.62681i | 0.521482 | + | 0.301078i | 0.737541 | − | 0.675303i | \(-0.235987\pi\) |
−0.216059 | + | 0.976380i | \(0.569320\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 15.6910 | − | 9.05923i | 0.546955 | − | 0.315785i | −0.200938 | − | 0.979604i | \(-0.564399\pi\) |
0.747893 | + | 0.663819i | \(0.231066\pi\) | |||||||
\(824\) | 2.17007 | + | 4.76922i | 0.0755979 | + | 0.166144i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 40.1266 | + | 1.93001i | 1.39618 | + | 0.0671537i | ||||
\(827\) | 30.9864 | 1.07750 | 0.538751 | − | 0.842465i | \(-0.318896\pi\) | ||||
0.538751 | + | 0.842465i | \(0.318896\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.8585 | − | 37.8601i | −0.759178 | − | 1.31493i | −0.943270 | − | 0.332026i | \(-0.892268\pi\) |
0.184092 | − | 0.982909i | \(-0.441065\pi\) | |||||||
\(830\) | −26.6190 | − | 23.8374i | −0.923958 | − | 0.827408i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 17.1596 | + | 50.0263i | 0.594901 | + | 1.73435i | ||||
\(833\) | 21.1723 | + | 4.43015i | 0.733576 | + | 0.153496i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 29.1416 | + | 16.8249i | 1.00849 | + | 0.582251i | ||||
\(836\) | 10.1994 | − | 23.2468i | 0.352753 | − | 0.804007i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −32.3580 | − | 6.78622i | −1.11779 | − | 0.234426i | ||||
\(839\) | 35.4628 | 1.22431 | 0.612156 | − | 0.790737i | \(-0.290302\pi\) | ||||
0.612156 | + | 0.790737i | \(0.290302\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 26.4542 | 0.912215 | ||||||||
\(842\) | −26.3805 | − | 5.53259i | −0.909131 | − | 0.190666i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 10.1981 | − | 23.2439i | 0.351033 | − | 0.800087i | ||||
\(845\) | 84.6895 | + | 48.8955i | 2.91341 | + | 1.68206i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.95257 | + | 9.78881i | 0.273253 | + | 0.336348i | ||||
\(848\) | 31.8252 | + | 9.96017i | 1.09288 | + | 0.342034i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 16.7455 | + | 14.9957i | 0.574366 | + | 0.514347i | ||||
\(851\) | 1.81518 | + | 3.14398i | 0.0622234 | + | 0.107774i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 31.1730 | 1.06734 | 0.533672 | − | 0.845692i | \(-0.320812\pi\) | ||||
0.533672 | + | 0.845692i | \(0.320812\pi\) | |||||||
\(854\) | −3.41767 | − | 6.63686i | −0.116950 | − | 0.227109i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.92383 | + | 3.15045i | −0.236652 | + | 0.107680i | ||||
\(857\) | 6.55908 | − | 3.78689i | 0.224054 | − | 0.129358i | −0.383772 | − | 0.923428i | \(-0.625375\pi\) |
0.607826 | + | 0.794070i | \(0.292042\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 35.8209 | + | 20.6812i | 1.22219 | + | 0.705633i | 0.965385 | − | 0.260830i | \(-0.0839962\pi\) |
0.256807 | + | 0.966463i | \(0.417330\pi\) | |||||||
\(860\) | 19.1154 | − | 14.0472i | 0.651828 | − | 0.479005i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −5.50377 | − | 16.7838i | −0.187459 | − | 0.571659i | ||||
\(863\) | −5.01544 | + | 8.68700i | −0.170728 | + | 0.295709i | −0.938674 | − | 0.344805i | \(-0.887945\pi\) |
0.767947 | + | 0.640514i | \(0.221279\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.73271 | − | 3.00115i | −0.0589140 | − | 0.102042i | ||||
\(866\) | −29.1241 | − | 6.10799i | −0.989677 | − | 0.207558i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 11.2588 | − | 43.2287i | 0.382150 | − | 1.46728i | ||||
\(869\) | − | 17.6229i | − | 0.597817i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.0183245 | + | 0.0105796i | −0.000620902 | + | 0.000358478i | ||||
\(872\) | −0.634821 | + | 6.55244i | −0.0214977 | + | 0.221894i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −34.6897 | + | 11.3755i | −1.17340 | + | 0.384782i | ||||
\(875\) | −1.13129 | − | 0.432204i | −0.0382446 | − | 0.0146111i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.63052 | + | 4.55619i | −0.0888263 | + | 0.153852i | −0.907015 | − | 0.421098i | \(-0.861645\pi\) |
0.818189 | + | 0.574949i | \(0.194978\pi\) | |||||||
\(878\) | 33.9580 | + | 30.4095i | 1.14603 | + | 1.02627i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 23.4042 | − | 21.5376i | 0.788956 | − | 0.726034i | ||||
\(881\) | 29.4366i | 0.991746i | 0.868395 | + | 0.495873i | \(0.165152\pi\) | ||||
−0.868395 | + | 0.495873i | \(0.834848\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 46.4470i | 1.56307i | 0.623864 | + | 0.781533i | \(0.285562\pi\) | ||||
−0.623864 | + | 0.781533i | \(0.714438\pi\) | |||||||
\(884\) | −40.6095 | + | 4.49111i | −1.36584 | + | 0.151052i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.59749 | − | 4.01728i | 0.120860 | − | 0.134963i | ||||
\(887\) | −21.0703 | + | 36.4948i | −0.707471 | + | 1.22538i | 0.258322 | + | 0.966059i | \(0.416831\pi\) |
−0.965792 | + | 0.259316i | \(0.916503\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 40.4543 | + | 15.4554i | 1.35679 | + | 0.518356i | ||||
\(890\) | −0.782649 | − | 2.38670i | −0.0262345 | − | 0.0800023i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 21.6742 | − | 49.4006i | 0.725705 | − | 1.65405i | ||||
\(893\) | −22.1353 | + | 12.7798i | −0.740731 | + | 0.427661i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 49.3932i | 1.65103i | ||||||||
\(896\) | 29.0666 | + | 7.15081i | 0.971046 | + | 0.238892i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.78163 | + | 46.6407i | −0.326417 | + | 1.55642i | ||||
\(899\) | 6.73478 | + | 11.6650i | 0.224618 | + | 0.389049i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.8809 | + | 22.3104i | −0.429125 | + | 0.743266i | ||||
\(902\) | −41.1343 | + | 13.4888i | −1.36962 | + | 0.449128i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.24812 | + | 7.34845i | −0.174550 | + | 0.244406i | ||||
\(905\) | −17.3775 | − | 10.0329i | −0.577649 | − | 0.333506i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.5846 | − | 13.6166i | 0.783115 | − | 0.452132i | −0.0544183 | − | 0.998518i | \(-0.517330\pi\) |
0.837533 | + | 0.546387i | \(0.183997\pi\) | |||||||
\(908\) | −4.59115 | − | 41.5140i | −0.152363 | − | 1.37769i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 70.0406 | − | 36.0675i | 2.32182 | − | 1.19563i | ||||
\(911\) | −34.1346 | −1.13093 | −0.565466 | − | 0.824772i | \(-0.691303\pi\) | ||||
−0.565466 | + | 0.824772i | \(0.691303\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.90303 | − | 17.1526i | −0.327743 | − | 0.567667i | ||||
\(914\) | −24.2030 | + | 27.0273i | −0.800565 | + | 0.893983i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −33.4247 | + | 24.5627i | −1.10438 | + | 0.811573i | ||||
\(917\) | 22.4567 | + | 27.6419i | 0.741584 | + | 0.912815i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −33.2306 | − | 19.1857i | −1.09618 | − | 0.632878i | −0.160962 | − | 0.986961i | \(-0.551460\pi\) |
−0.935214 | + | 0.354083i | \(0.884793\pi\) | |||||||
\(920\) | −45.5270 | − | 4.41080i | −1.50098 | − | 0.145420i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.73256 | − | 17.7976i | 0.122925 | − | 0.586132i | ||||
\(923\) | −82.0334 | −2.70016 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.67766 | −0.120921 | ||||||||
\(926\) | 4.36985 | − | 20.8363i | 0.143602 | − | 0.684723i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −7.75461 | + | 4.61848i | −0.254558 | + | 0.151609i | ||||
\(929\) | −39.0507 | − | 22.5459i | −1.28121 | − | 0.739708i | −0.304142 | − | 0.952627i | \(-0.598370\pi\) |
−0.977070 | + | 0.212919i | \(0.931703\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −11.1047 | − | 33.8115i | −0.363943 | − | 1.10813i | ||||
\(932\) | −19.6937 | − | 26.7990i | −0.645088 | − | 0.877832i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −11.0422 | + | 12.3307i | −0.361312 | + | 0.403473i | ||||
\(935\) | 12.2856 | + | 21.2792i | 0.401781 | + | 0.695904i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −14.4277 | −0.471333 | −0.235667 | − | 0.971834i | \(-0.575727\pi\) | ||||
−0.235667 | + | 0.971834i | \(0.575727\pi\) | |||||||
\(938\) | −0.000575345 | 0.0119619i | −1.87857e−5 | 0.000390571i | ||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −31.8298 | + | 3.52015i | −1.03817 | + | 0.114815i | ||||
\(941\) | −35.1619 | + | 20.3007i | −1.14624 | + | 0.661784i | −0.947969 | − | 0.318362i | \(-0.896867\pi\) |
−0.198275 | + | 0.980147i | \(0.563534\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 53.9138 | + | 31.1272i | 1.75568 | + | 1.01364i | ||||
\(944\) | −12.8273 | + | 40.9864i | −0.417494 | + | 1.33399i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.4941 | − | 4.09709i | 0.406219 | − | 0.133208i | ||||
\(947\) | 7.38792 | − | 12.7963i | 0.240075 | − | 0.415822i | −0.720660 | − | 0.693288i | \(-0.756161\pi\) |
0.960735 | + | 0.277466i | \(0.0894946\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.33100 | + | 10.9656i | 0.205513 | + | 0.355959i | ||||
\(950\) | 7.59104 | − | 36.1955i | 0.246286 | − | 1.17434i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −10.2974 | + | 20.7050i | −0.333739 | + | 0.671053i | ||||
\(953\) | 31.2092i | 1.01097i | 0.862836 | + | 0.505483i | \(0.168686\pi\) | ||||
−0.862836 | + | 0.505483i | \(0.831314\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −43.2764 | + | 24.9856i | −1.40039 | + | 0.808516i | ||||
\(956\) | 37.6635 | + | 16.5246i | 1.21812 | + | 0.534444i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.7006 | + | 41.7800i | 0.442645 | + | 1.34985i | ||||
\(959\) | −8.62109 | − | 53.8781i | −0.278390 | − | 1.73982i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.1336 | − | 34.8724i | 0.649470 | − | 1.12492i | ||||
\(962\) | 4.45935 | − | 4.97970i | 0.143775 | − | 0.160552i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.95051 | − | 44.7635i | −0.159445 | − | 1.44173i | ||||
\(965\) | − | 57.9115i | − | 1.86424i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 39.3749i | 1.26621i | 0.774065 | + | 0.633106i | \(0.218220\pi\) | ||||
−0.774065 | + | 0.633106i | \(0.781780\pi\) | |||||||
\(968\) | −12.2722 | + | 5.58403i | −0.394443 | + | 0.179477i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.426644 | − | 0.382062i | −0.0136987 | − | 0.0122673i | ||||
\(971\) | 30.0829 | − | 52.1052i | 0.965407 | − | 1.67213i | 0.256890 | − | 0.966441i | \(-0.417302\pi\) |
0.708517 | − | 0.705694i | \(-0.249365\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.17159 | + | 1.59374i | 0.133735 | + | 0.0510928i | ||||
\(974\) | −7.44577 | + | 2.44163i | −0.238578 | + | 0.0782348i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.78771 | − | 1.74386i | 0.249279 | − | 0.0558195i | ||||
\(977\) | −12.5257 | + | 7.23172i | −0.400733 | + | 0.231363i | −0.686800 | − | 0.726846i | \(-0.740985\pi\) |
0.286067 | + | 0.958209i | \(0.407652\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 1.39224i | − | 0.0444961i | ||||||
\(980\) | 4.27937 | − | 44.3831i | 0.136700 | − | 1.41776i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 41.9666 | + | 8.80136i | 1.33921 | + | 0.280863i | ||||
\(983\) | 0.291450 | + | 0.504806i | 0.00929582 | + | 0.0161008i | 0.870636 | − | 0.491928i | \(-0.163708\pi\) |
−0.861340 | + | 0.508029i | \(0.830374\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 24.0948 | − | 41.7333i | 0.767723 | − | 1.32973i | ||||
\(986\) | −2.17265 | − | 6.62552i | −0.0691913 | − | 0.211000i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 39.8057 | + | 54.1674i | 1.26639 | + | 1.72330i | ||||
\(989\) | −16.3758 | − | 9.45457i | −0.520720 | − | 0.300638i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.69703 | + | 3.86653i | −0.212738 | + | 0.122824i | −0.602583 | − | 0.798056i | \(-0.705862\pi\) |
0.389845 | + | 0.920880i | \(0.372529\pi\) | |||||||
\(992\) | 41.6772 | + | 23.3144i | 1.32325 | + | 0.740234i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −25.1196 | + | 39.0473i | −0.796745 | + | 1.23850i | ||||
\(995\) | −46.7658 | −1.48257 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.6526 | + | 21.9150i | 0.400713 | + | 0.694055i | 0.993812 | − | 0.111074i | \(-0.0354291\pi\) |
−0.593099 | + | 0.805130i | \(0.702096\pi\) | |||||||
\(998\) | −14.5011 | − | 12.9858i | −0.459025 | − | 0.411059i | ||||
\(999\) | 0 | 0 |
(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 | 756.2.be.c.107.2 | ✓ | 28 | |
3.2 | odd | 2 | inner | 756.2.be.c.107.13 | yes | 28 | |
4.3 | odd | 2 | 756.2.be.d.107.4 | yes | 28 | ||
7.4 | even | 3 | 756.2.be.d.431.11 | yes | 28 | ||
12.11 | even | 2 | 756.2.be.d.107.11 | yes | 28 | ||
21.11 | odd | 6 | 756.2.be.d.431.4 | yes | 28 | ||
28.11 | odd | 6 | inner | 756.2.be.c.431.13 | yes | 28 | |
84.11 | even | 6 | inner | 756.2.be.c.431.2 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.be.c.107.2 | ✓ | 28 | 1.1 | even | 1 | trivial | |
756.2.be.c.107.13 | yes | 28 | 3.2 | odd | 2 | inner | |
756.2.be.c.431.2 | yes | 28 | 84.11 | even | 6 | inner | |
756.2.be.c.431.13 | yes | 28 | 28.11 | odd | 6 | inner | |
756.2.be.d.107.4 | yes | 28 | 4.3 | odd | 2 | ||
756.2.be.d.107.11 | yes | 28 | 12.11 | even | 2 | ||
756.2.be.d.431.4 | yes | 28 | 21.11 | odd | 6 | ||
756.2.be.d.431.11 | yes | 28 | 7.4 | even | 3 |