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 | 107.4 | ||
Character | \(\chi\) | \(=\) | 756.107 |
Dual form | 756.2.be.d.431.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.943439 | − | 1.05353i | −0.667112 | − | 0.744957i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.219845 | + | 1.98788i | −0.109923 | + | 0.993940i | ||||
\(5\) | 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 | ||||||||
\(10\) | −0.924512 | − | 4.40826i | −0.292356 | − | 1.39401i | ||||
\(11\) | 1.24831 | + | 2.16213i | 0.376379 | + | 0.651907i | 0.990532 | − | 0.137279i | \(-0.0438357\pi\) |
−0.614153 | + | 0.789187i | \(0.710502\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.61093 | 1.83354 | 0.916771 | − | 0.399414i | \(-0.130786\pi\) | ||||
0.916771 | + | 0.399414i | \(0.130786\pi\) | |||||||
\(14\) | −3.49465 | + | 1.33695i | −0.933984 | + | 0.357316i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.90334 | − | 0.874051i | −0.975834 | − | 0.218513i | ||||
\(17\) | −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 | −0.0988779 | − | 0.995100i | \(-0.531525\pi\) |
−0.911220 | + | 0.411919i | \(0.864859\pi\) | |||||||
\(20\) | −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 | \(0.344239\pi\) |
−0.999413 | + | 0.0342533i | \(0.989095\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.57186 | + | 4.45459i | 0.514372 | + | 0.890918i | ||||
\(26\) | −6.23701 | − | 6.96480i | −1.22318 | − | 1.36591i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.70551 | + | 2.42037i | 0.889257 | + | 0.457408i | ||||
\(29\) | − | 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 | 0.330483 | − | 0.943812i | \(-0.392788\pi\) |
0.982607 | + | 0.185699i | \(0.0594549\pi\) | |||||||
\(32\) | 2.76172 | + | 4.93689i | 0.488208 | + | 0.872727i | ||||
\(33\) | 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 | \(0.185385\pi\) | |||||||
\(38\) | 1.47579 | + | 7.03685i | 0.239404 | + | 1.14153i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.96633 | − | 0.868686i | 1.41770 | − | 0.137351i | ||||
\(41\) | 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 | \(0.0916475\pi\) | ||||
−0.958837 | + | 0.283958i | \(0.908352\pi\) | |||||||
\(44\) | −4.57249 | + | 2.00615i | −0.689330 | + | 0.302439i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 7.02784 | − | 1.47390i | 1.03620 | − | 0.217315i | ||||
\(47\) | 2.51371 | − | 4.35388i | 0.366663 | − | 0.635078i | −0.622379 | − | 0.782716i | \(-0.713834\pi\) |
0.989041 | + | 0.147638i | \(0.0471670\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.21685 | − | 4.66739i | −0.745264 | − | 0.666770i | ||||
\(50\) | 2.26665 | − | 6.91216i | 0.320552 | − | 0.977527i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.45338 | + | 13.1417i | −0.201548 | + | 1.82243i | ||||
\(53\) | 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 | ||||||||
\(56\) | −1.88942 | − | 7.24086i | −0.252485 | − | 0.967601i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.68095 | + | 1.50530i | −0.220720 | + | 0.197655i | ||||
\(59\) | −5.36835 | − | 9.29825i | −0.698899 | − | 1.21053i | −0.968848 | − | 0.247654i | \(-0.920340\pi\) |
0.269949 | − | 0.962875i | \(-0.412993\pi\) | |||||||
\(60\) | 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 | −0.499831 | − | 0.866123i | \(-0.666604\pi\) |
0.500169 | + | 0.865928i | \(0.333271\pi\) | |||||||
\(68\) | −2.48306 | − | 5.65947i | −0.301115 | − | 0.686312i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −11.7681 | − | 1.87747i | −1.40655 | − | 0.224400i | ||||
\(71\) | 12.4088 | 1.47265 | 0.736324 | − | 0.676629i | \(-0.236560\pi\) | ||||
0.736324 | + | 0.676629i | \(0.236560\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.957657 | + | 1.65871i | 0.112085 | + | 0.194137i | 0.916611 | − | 0.399781i | \(-0.130914\pi\) |
−0.804526 | + | 0.593918i | \(0.797580\pi\) | |||||||
\(74\) | 0.989607 | − | 0.207543i | 0.115040 | − | 0.0241264i | ||||
\(75\) | 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 | 0.115005 | − | 0.993365i | \(-0.463311\pi\) |
−0.802776 | + | 0.596280i | \(0.796645\pi\) | |||||||
\(80\) | −9.37438 | − | 8.62674i | −1.04809 | − | 0.964498i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.9170 | − | 11.5672i | 1.42645 | − | 1.27739i | ||||
\(83\) | −7.93317 | −0.870778 | −0.435389 | − | 0.900242i | \(-0.643389\pi\) | ||||
−0.435389 | + | 0.900242i | \(0.643389\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.84177 | −1.06749 | ||||||||
\(86\) | 3.92341 | − | 3.51343i | 0.423073 | − | 0.378863i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 6.42741 | + | 2.92457i | 0.685164 | + | 0.311760i | ||||
\(89\) | 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 | ||||||||
\(94\) | −6.95847 | + | 1.45935i | −0.717711 | + | 0.150520i | ||||
\(95\) | −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 | \(0.497945\pi\) | |||||||
\(98\) | 0.00455176 | + | 9.89949i | 0.000459797 | + | 1.00000i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −9.42060 | + | 4.13323i | −0.942060 | + | 0.413323i | ||||
\(101\) | 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 | 0.576953 | − | 0.816777i | \(-0.304242\pi\) |
−0.418874 | + | 0.908045i | \(0.637575\pi\) | |||||||
\(104\) | 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 | −0.923676 | − | 0.383175i | \(-0.874831\pi\) |
0.793677 | + | 0.608340i | \(0.208164\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.16374 | − | 2.01566i | −0.111466 | − | 0.193065i | 0.804895 | − | 0.593417i | \(-0.202221\pi\) |
−0.916362 | + | 0.400352i | \(0.868888\pi\) | |||||||
\(110\) | 8.37716 | − | 7.50178i | 0.798730 | − | 0.715266i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −5.84590 | + | 8.82188i | −0.552385 | + | 0.833589i | ||||
\(113\) | − | 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 | ||||
\(116\) | 3.17175 | + | 0.350773i | 0.294490 | + | 0.0325684i | ||||
\(117\) | 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 | ||||
\(122\) | −2.76148 | + | 0.579146i | −0.250013 | + | 0.0524334i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.78355 | + | 15.4613i | 0.609181 | + | 1.38847i | ||||
\(125\) | 0.457730i | 0.0409406i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.3682i | 1.45244i | 0.687463 | + | 0.726220i | \(0.258725\pi\) | ||||
−0.687463 | + | 0.726220i | \(0.741275\pi\) | |||||||
\(128\) | −10.4211 | + | 4.40462i | −0.921104 | + | 0.389317i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.11188 | − | 29.1427i | −0.536048 | − | 2.55598i | ||||
\(131\) | −6.73046 | + | 11.6575i | −0.588043 | + | 1.01852i | 0.406445 | + | 0.913675i | \(0.366768\pi\) |
−0.994489 | + | 0.104845i | \(0.966565\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.4401 | + | 8.48164i | −0.905267 | + | 0.735452i | ||||
\(134\) | −0.00430106 | − | 0.00141041i | −0.000371555 | − | 0.000121841i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.61980 | + | 7.95534i | −0.310396 | + | 0.682165i | ||||
\(137\) | −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 | \(0.0228045\pi\) | ||||
−0.997435 | + | 0.0715813i | \(0.977195\pi\) | |||||||
\(140\) | 9.12448 | + | 14.1693i | 0.771159 | + | 1.19752i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −11.7069 | − | 13.0730i | −0.982422 | − | 1.09706i | ||||
\(143\) | 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 | −0.632836 | − | 0.774286i | \(-0.718109\pi\) |
0.354133 | + | 0.935195i | \(0.384776\pi\) | |||||||
\(152\) | −14.3129 | + | 1.38667i | −1.16093 | + | 0.112474i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.25307 | − | 5.88696i | −0.584469 | − | 0.474385i | ||||
\(155\) | 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 | \(0.808807\pi\) | |||||||
\(158\) | 2.04899 | + | 9.77001i | 0.163009 | + | 0.777260i | ||||
\(159\) | 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 | 0.643970 | − | 0.765051i | \(-0.277286\pi\) |
−0.340569 | + | 0.940220i | \(0.610620\pi\) | |||||||
\(164\) | −24.3728 | − | 2.69546i | −1.90320 | − | 0.210480i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.48446 | + | 8.35782i | 0.580907 | + | 0.648692i | ||||
\(167\) | −10.5654 | −0.817573 | −0.408787 | − | 0.912630i | \(-0.634048\pi\) | ||||
−0.408787 | + | 0.912630i | \(0.634048\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 30.7044 | 2.36187 | ||||||||
\(170\) | 9.28511 | + | 10.3686i | 0.712135 | + | 0.795234i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.40300 | − | 0.818718i | −0.564474 | − | 0.0624267i | ||||
\(173\) | −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 | ||||||||
\(178\) | −0.161874 | − | 0.771845i | −0.0121329 | − | 0.0578522i | ||||
\(179\) | −7.75422 | − | 13.4307i | −0.579578 | − | 1.00386i | −0.995528 | − | 0.0944707i | \(-0.969884\pi\) |
0.415950 | − | 0.909388i | \(-0.363449\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.30027 | −0.468295 | −0.234148 | − | 0.972201i | \(-0.575230\pi\) | ||||
−0.234148 | + | 0.972201i | \(0.575230\pi\) | |||||||
\(182\) | −23.1029 | + | 8.83851i | −1.71250 | + | 0.655154i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.38490 | + | 14.2945i | 0.102096 | + | 1.05381i | ||||
\(185\) | −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 | \(-0.641189\pi\) |
0.996798 | − | 0.0799556i | \(-0.0254779\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.09152 | − | 15.7470i | −0.654422 | − | 1.13349i | −0.982038 | − | 0.188681i | \(-0.939579\pi\) |
0.327617 | − | 0.944811i | \(-0.393755\pi\) | |||||||
\(194\) | −0.119960 | − | 0.133958i | −0.00861260 | − | 0.00961759i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.4251 | − | 9.34437i | 0.744650 | − | 0.667455i | ||||
\(197\) | − | 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 | 0.0237685 | − | 0.999717i | \(-0.492434\pi\) |
0.877665 | + | 0.479275i | \(0.159100\pi\) | |||||||
\(200\) | 13.2422 | + | 6.02543i | 0.936368 | + | 0.426062i | ||||
\(201\) | 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 | ||||
\(206\) | −0.537746 | − | 2.56408i | −0.0374665 | − | 0.178648i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −25.8047 | − | 5.77829i | −1.78923 | − | 0.400652i | ||||
\(209\) | − | 12.6929i | − | 0.877988i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.6913i | 0.873707i | 0.899533 | + | 0.436853i | \(0.143907\pi\) | ||||
−0.899533 | + | 0.436853i | \(0.856093\pi\) | |||||||
\(212\) | 6.69906 | + | 15.2687i | 0.460093 | + | 1.04866i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.72246 | − | 0.780686i | 0.254462 | − | 0.0533666i | ||||
\(215\) | −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 | ||||||||
\(220\) | −15.8067 | − | 1.74810i | −1.06569 | − | 0.117857i | ||||
\(221\) | −17.6916 | + | 10.2143i | −1.19007 | + | 0.687086i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 26.9731i | 1.80625i | 0.429377 | + | 0.903125i | \(0.358733\pi\) | ||||
−0.429377 | + | 0.903125i | \(0.641267\pi\) | |||||||
\(224\) | 14.8093 | − | 2.16408i | 0.989491 | − | 0.144594i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.36351 | + | 3.01204i | −0.223738 | + | 0.200358i | ||||
\(227\) | 10.4418 | + | 18.0857i | 0.693045 | + | 1.20039i | 0.970835 | + | 0.239748i | \(0.0770648\pi\) |
−0.277790 | + | 0.960642i | \(0.589602\pi\) | |||||||
\(228\) | 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 | ||||
\(236\) | 19.6640 | − | 8.62746i | 1.28002 | − | 0.561600i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 7.28641 | − | 8.97727i | 0.472308 | − | 0.581910i | ||||
\(239\) | −20.5645 | −1.33021 | −0.665104 | − | 0.746751i | \(-0.731613\pi\) | ||||
−0.665104 | + | 0.746751i | \(0.731613\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.2591 | − | 19.5013i | −0.725262 | − | 1.25619i | −0.958866 | − | 0.283859i | \(-0.908385\pi\) |
0.233604 | − | 0.972332i | \(-0.424948\pi\) | |||||||
\(242\) | −6.59789 | + | 1.38373i | −0.424129 | + | 0.0889495i | ||||
\(243\) | 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 | ||||
\(248\) | 9.88907 | − | 21.7335i | 0.627956 | − | 1.38008i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.482231 | − | 0.431840i | 0.0304990 | − | 0.0273120i | ||||
\(251\) | 5.03762 | 0.317972 | 0.158986 | − | 0.987281i | \(-0.449178\pi\) | ||||
0.158986 | + | 0.987281i | \(0.449178\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.6767 | −0.796976 | ||||||||
\(254\) | 17.2443 | − | 15.4424i | 1.08201 | − | 0.968940i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.4721 | + | 6.82343i | 0.904504 | + | 0.426465i | ||||
\(257\) | −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 | ||||||||
\(262\) | 18.6313 | − | 3.90741i | 1.15105 | − | 0.241401i | ||||
\(263\) | −14.2092 | − | 24.6110i | −0.876176 | − | 1.51758i | −0.855504 | − | 0.517796i | \(-0.826753\pi\) |
−0.0206722 | − | 0.999786i | \(-0.506581\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 26.5522 | 1.63109 | ||||||||
\(266\) | 18.7852 | + | 2.99698i | 1.15180 | + | 0.183757i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.00257188 | + | 0.00586193i | 0.000157103 | + | 0.000358074i | ||||
\(269\) | −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 | 0.391176 | − | 0.920316i | \(-0.372068\pi\) |
−0.601429 | + | 0.798926i | \(0.705402\pi\) | |||||||
\(272\) | 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 | \(-0.371085\pi\) | |||||||
\(278\) | 1.77821 | − | 1.59240i | 0.106650 | − | 0.0955056i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.31933 | − | 22.9807i | 0.377652 | − | 1.37336i | ||||
\(281\) | − | 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 | −0.935295 | − | 0.353870i | \(-0.884866\pi\) |
−0.161187 | + | 0.986924i | \(0.551532\pi\) | |||||||
\(284\) | −2.72800 | + | 24.6671i | −0.161877 | + | 1.46372i | ||||
\(285\) | 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 | ||||
\(290\) | −7.03357 | + | 1.47510i | −0.413025 | + | 0.0866209i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.50785 | + | 1.53905i | −0.205282 | + | 0.0900659i | ||||
\(293\) | 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 | ||||||
\(296\) | 0.195011 | + | 2.01285i | 0.0113348 | + | 0.116994i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.598941 | + | 2.85587i | 0.0346957 | + | 0.165436i | ||||
\(299\) | −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 | ||||||||
\(304\) | 14.9642 | + | 13.7708i | 0.858256 | + | 0.789807i | ||||
\(305\) | 5.50305 | − | 3.17719i | 0.315104 | − | 0.181925i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.49188i | 0.199292i | 0.995023 | + | 0.0996460i | \(0.0317710\pi\) | ||||
−0.995023 | + | 0.0996460i | \(0.968229\pi\) | |||||||
\(308\) | 0.640749 | + | 13.1953i | 0.0365100 | + | 0.751872i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −25.3663 | − | 28.3263i | −1.44071 | − | 1.60882i | ||||
\(311\) | −6.52568 | − | 11.3028i | −0.370037 | − | 0.640924i | 0.619533 | − | 0.784970i | \(-0.287322\pi\) |
−0.989571 | + | 0.144047i | \(0.953988\pi\) | |||||||
\(312\) | 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 | ||||
\(320\) | 19.2098 | − | 16.7386i | 1.07386 | − | 0.935716i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.99315 | − | 18.7612i | 0.166802 | − | 1.04552i | ||||
\(323\) | 15.7103 | 0.874144 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 17.0024 | + | 29.4490i | 0.943122 | + | 1.63354i | ||||
\(326\) | −1.29836 | − | 6.19083i | −0.0719094 | − | 0.342878i | ||||
\(327\) | 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 | 0.606774 | − | 0.794874i | \(-0.292463\pi\) |
−0.384994 | + | 0.922919i | \(0.625797\pi\) | |||||||
\(332\) | 1.74407 | − | 15.7702i | 0.0957181 | − | 0.865501i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 9.96779 | + | 11.1309i | 0.545413 | + | 0.609057i | ||||
\(335\) | 0.0101938 | 0.000556948 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.41763 | −0.404064 | −0.202032 | − | 0.979379i | \(-0.564754\pi\) | ||||
−0.202032 | + | 0.979379i | \(0.564754\pi\) | |||||||
\(338\) | −28.9677 | − | 32.3479i | −1.57564 | − | 1.75950i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.16366 | − | 19.5643i | 0.117341 | − | 1.06102i | ||||
\(341\) | 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 | ||||||||
\(346\) | 0.315844 | + | 1.50600i | 0.0169799 | + | 0.0809633i | ||||
\(347\) | −6.28113 | − | 10.8792i | −0.337188 | − | 0.584028i | 0.646714 | − | 0.762732i | \(-0.276143\pi\) |
−0.983903 | + | 0.178705i | \(0.942809\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.6865 | −0.893208 | −0.446604 | − | 0.894732i | \(-0.647367\pi\) | ||||
−0.446604 | + | 0.894732i | \(0.647367\pi\) | |||||||
\(350\) | −14.9433 | − | 12.1288i | −0.798754 | − | 0.648309i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7.22673 | + | 12.1340i | −0.385186 | + | 0.646743i | ||||
\(353\) | −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 | \(0.427291\pi\) |
−0.956751 | + | 0.290908i | \(0.906043\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.42378 | + | 5.93017i | 0.180199 | + | 0.312114i | ||||
\(362\) | 5.94392 | + | 6.63752i | 0.312406 | + | 0.348860i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 31.1078 | + | 16.0009i | 1.63049 | + | 0.838676i | ||||
\(365\) | 6.10012i | 0.319295i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.00186 | + | 1.15577i | −0.104496 | + | 0.0603308i | −0.551337 | − | 0.834282i | \(-0.685882\pi\) |
0.446841 | + | 0.894613i | \(0.352549\pi\) | |||||||
\(368\) | 13.7531 | − | 14.9451i | 0.716932 | − | 0.779065i | ||||
\(369\) | 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 | \(0.0898519\pi\) | |||||||
\(374\) | 2.23944 | + | 10.6781i | 0.115799 | + | 0.552152i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.37123 | − | 14.1534i | −0.0707157 | − | 0.729908i | ||||
\(377\) | − | 10.5480i | − | 0.543251i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 9.38441i | − | 0.482045i | −0.970520 | − | 0.241022i | \(-0.922517\pi\) | ||
0.970520 | − | 0.241022i | \(-0.0774827\pi\) | |||||||
\(380\) | 29.6558 | − | 13.0113i | 1.52131 | − | 0.667466i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −21.7165 | + | 4.55445i | −1.11111 | + | 0.233026i | ||||
\(383\) | −5.31186 | + | 9.20042i | −0.271424 | + | 0.470119i | −0.969227 | − | 0.246170i | \(-0.920828\pi\) |
0.697803 | + | 0.716290i | \(0.254161\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 19.6524 | + | 7.50809i | 1.00158 | + | 0.382648i | ||||
\(386\) | −8.01259 | + | 24.4345i | −0.407830 | + | 1.24368i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.0279536 | + | 0.252762i | −0.00141913 | + | 0.0128320i | ||||
\(389\) | 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 | ||||||
\(392\) | −19.6800 | − | 2.16731i | −0.993991 | − | 0.109466i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.9404 | + | 14.2747i | −0.803068 | + | 0.719150i | ||||
\(395\) | −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 | ||||
\(404\) | 2.58660 | + | 5.89548i | 0.128688 | + | 0.293311i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.13317 | + | 5.57586i | 0.105867 | + | 0.276725i | ||||
\(407\) | −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 | \(0.579196\pi\) | |||||||
\(410\) | 54.0483 | − | 11.3352i | 2.66926 | − | 0.559805i | ||||
\(411\) | 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 | ||||
\(416\) | 18.2575 | + | 32.6374i | 0.895150 | + | 1.60018i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −13.3724 | + | 11.9750i | −0.654063 | + | 0.585716i | ||||
\(419\) | −23.3784 | −1.14211 | −0.571054 | − | 0.820913i | \(-0.693465\pi\) | ||||
−0.571054 | + | 0.820913i | \(0.693465\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.0596 | 0.928910 | 0.464455 | − | 0.885597i | \(-0.346250\pi\) | ||||
0.464455 | + | 0.885597i | \(0.346250\pi\) | |||||||
\(422\) | 13.3707 | − | 11.9735i | 0.650874 | − | 0.582860i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 9.76589 | − | 21.4628i | 0.474274 | − | 1.04232i | ||||
\(425\) | −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 | ||||||||
\(430\) | 16.4166 | − | 3.44295i | 0.791681 | − | 0.166034i | ||||
\(431\) | −6.24488 | − | 10.8164i | −0.300805 | − | 0.521010i | 0.675513 | − | 0.737348i | \(-0.263922\pi\) |
−0.976319 | + | 0.216338i | \(0.930589\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.0419 | 1.01121 | 0.505604 | − | 0.862766i | \(-0.331270\pi\) | ||||
0.505604 | + | 0.862766i | \(0.331270\pi\) | |||||||
\(434\) | −19.9060 | + | 24.5253i | −0.955518 | + | 1.17725i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.26273 | − | 1.87025i | 0.204148 | − | 0.0895685i | ||||
\(437\) | 22.3560 | − | 12.9073i | 1.06943 | − | 0.617438i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 27.9142 | + | 16.1163i | 1.33227 | + | 0.769189i | 0.985648 | − | 0.168815i | \(-0.0539939\pi\) |
0.346626 | + | 0.938003i | \(0.387327\pi\) | |||||||
\(440\) | 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 | −0.817173 | − | 0.576393i | \(-0.804460\pi\) |
0.907757 | + | 0.419496i | \(0.137793\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.888036 | + | 1.53812i | 0.0420970 | + | 0.0729141i | ||||
\(446\) | 28.4169 | − | 25.4474i | 1.34558 | − | 1.20497i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.2516 | − | 13.5604i | −0.767818 | − | 0.640668i | ||||
\(449\) | − | 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 | ||||
\(452\) | 6.34654 | + | 0.701881i | 0.298516 | + | 0.0330137i | ||||
\(453\) | 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 | \(-0.0381752\pi\) | |||||||
\(458\) | 28.7058 | − | 6.02027i | 1.34134 | − | 0.281309i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −12.9947 | − | 29.6179i | −0.605879 | − | 1.38094i | ||||
\(461\) | 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 | \(-0.886246\pi\) | ||
0.936821 | − | 0.349809i | \(-0.113754\pi\) | |||||||
\(464\) | −1.39459 | + | 6.22795i | −0.0647421 | + | 0.289125i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.82689 | + | 23.0156i | 0.223601 | + | 1.06618i | ||||
\(467\) | −5.85210 | + | 10.1361i | −0.270803 | + | 0.469044i | −0.969068 | − | 0.246795i | \(-0.920622\pi\) |
0.698265 | + | 0.715840i | \(0.253956\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.00133797 | − | 0.00836177i | −6.17819e−5 | − | 0.000386111i | ||||
\(470\) | −21.5170 | − | 7.05587i | −0.992503 | − | 0.325463i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −27.6411 | − | 12.5771i | −1.27228 | − | 0.578909i | ||||
\(473\) | −8.05193 | + | 4.64878i | −0.370228 | + | 0.213751i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 26.1509i | − | 1.19989i | ||||||
\(476\) | −16.3321 | + | 0.793068i | −0.748581 | + | 0.0363502i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 19.4014 | + | 21.6653i | 0.887398 | + | 0.990948i | ||||
\(479\) | 15.5454 | + | 26.9254i | 0.710287 | + | 1.23025i | 0.964749 | + | 0.263170i | \(0.0847682\pi\) |
−0.254462 | + | 0.967083i | \(0.581898\pi\) | |||||||
\(480\) | 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 | −0.604764 | − | 0.796405i | \(-0.706733\pi\) |
0.387324 | + | 0.921943i | \(0.373399\pi\) | |||||||
\(488\) | −0.544175 | − | 5.61682i | −0.0246336 | − | 0.254261i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −15.7520 | + | 27.3122i | −0.711603 | + | 1.23384i | ||||
\(491\) | 30.3204 | 1.36834 | 0.684171 | − | 0.729321i | \(-0.260164\pi\) | ||||
0.684171 | + | 0.729321i | \(0.260164\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.46521 | + | 4.26986i | 0.111027 | + | 0.192305i | ||||
\(494\) | 9.75633 | + | 46.5201i | 0.438958 | + | 2.09304i | ||||
\(495\) | 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 | 0.208867 | − | 0.977944i | \(-0.433022\pi\) |
−0.742491 | + | 0.669856i | \(0.766356\pi\) | |||||||
\(500\) | −0.909912 | − | 0.100630i | −0.0406925 | − | 0.00450029i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.75269 | − | 5.30727i | −0.212123 | − | 0.236875i | ||||
\(503\) | −5.66994 | −0.252810 | −0.126405 | − | 0.991979i | \(-0.540344\pi\) | ||||
−0.126405 | + | 0.991979i | \(0.540344\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.2522 | 0.456216 | ||||||||
\(506\) | 11.9597 | + | 13.3552i | 0.531673 | + | 0.593713i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −32.5379 | − | 3.59846i | −1.44364 | − | 0.159656i | ||||
\(509\) | −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 | ||||||||
\(514\) | 0.809880 | + | 3.86166i | 0.0357223 | + | 0.170331i | ||||
\(515\) | 2.95006 | + | 5.10966i | 0.129995 | + | 0.225159i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.5515 | 0.552016 | ||||||||
\(518\) | 0.421472 | − | 2.64181i | 0.0185184 | − | 0.116074i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 59.2758 | − | 5.74282i | 2.59942 | − | 0.251839i | ||||
\(521\) | 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 | 0.350046 | − | 0.936733i | \(-0.386166\pi\) |
−0.636211 | + | 0.771515i | \(0.719499\pi\) | |||||||
\(524\) | −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 | ||||
\(530\) | −25.0504 | − | 27.9735i | −1.08812 | − | 1.21509i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −14.5653 | − | 22.6182i | −0.631486 | − | 0.980624i | ||||
\(533\) | 81.0547i | 3.51087i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.41808 | + | 4.28283i | −0.320711 | + | 0.185163i | ||||
\(536\) | 0.00374929 | − | 0.00823992i | 0.000161945 | − | 0.000355910i | ||||
\(537\) | 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 | \(0.319736\pi\) | |||||||
\(542\) | 1.16014 | + | 5.53177i | 0.0498322 | + | 0.237610i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −15.0185 | − | 8.94468i | −0.643912 | − | 0.383500i | ||||
\(545\) | − | 7.41285i | − | 0.317532i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.1856i | 0.435505i | 0.976004 | + | 0.217752i | \(0.0698725\pi\) | ||||
−0.976004 | + | 0.217752i | \(0.930128\pi\) | |||||||
\(548\) | −16.5716 | − | 37.7707i | −0.707906 | − | 1.61348i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 17.7745 | − | 3.72772i | 0.757906 | − | 0.158950i | ||||
\(551\) | −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 | ||||||||
\(556\) | −3.35527 | − | 0.371068i | −0.142295 | − | 0.0157368i | ||||
\(557\) | −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 | ||||||||
\(560\) | −30.1728 | + | 15.0233i | −1.27503 | + | 0.634852i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −14.0768 | + | 12.6058i | −0.593792 | + | 0.531743i | ||||
\(563\) | 10.9769 | + | 19.0126i | 0.462623 | + | 0.801286i | 0.999091 | − | 0.0426347i | \(-0.0135752\pi\) |
−0.536468 | + | 0.843921i | \(0.680242\pi\) | |||||||
\(564\) | 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 | −0.914035 | − | 0.405635i | \(-0.867050\pi\) |
−0.105727 | + | 0.994395i | \(0.533717\pi\) | |||||||
\(572\) | −30.2284 | + | 13.2625i | −1.26391 | + | 0.554534i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −16.3920 | − | 42.8468i | −0.684189 | − | 1.78839i | ||||
\(575\) | −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 | \(0.966067\pi\) | |||||||
\(578\) | 10.3132 | − | 2.16292i | 0.428973 | − | 0.0899655i | ||||
\(579\) | 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 | ||||
\(584\) | 4.93088 | + | 2.24363i | 0.204041 | + | 0.0928419i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.580501 | − | 0.519841i | 0.0239803 | − | 0.0214744i | ||||
\(587\) | −17.0416 | −0.703384 | −0.351692 | − | 0.936116i | \(-0.614393\pi\) | ||||
−0.351692 | + | 0.936116i | \(0.614393\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −42.9195 | −1.76847 | ||||||||
\(590\) | −36.0260 | + | 32.2614i | −1.48316 | + | 1.32818i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.93661 | − | 2.10445i | 0.0795943 | − | 0.0864923i | ||||
\(593\) | 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 | ||||||||
\(598\) | 46.4606 | − | 9.74385i | 1.89991 | − | 0.398456i | ||||
\(599\) | 2.41297 | + | 4.17938i | 0.0985912 | + | 0.170765i | 0.911102 | − | 0.412182i | \(-0.135233\pi\) |
−0.812511 | + | 0.582946i | \(0.801900\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.5618 | −0.716363 | −0.358181 | − | 0.933652i | \(-0.616603\pi\) | ||||
−0.358181 | + | 0.933652i | \(0.616603\pi\) | |||||||
\(602\) | −4.97891 | − | 13.0143i | −0.202925 | − | 0.530424i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.17769 | − | 7.24270i | −0.129298 | − | 0.294701i | ||||
\(605\) | 13.1482 | − | 7.59112i | 0.534550 | − | 0.308623i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.967882 | − | 0.558807i | −0.0392851 | − | 0.0226813i | 0.480229 | − | 0.877143i | \(-0.340554\pi\) |
−0.519514 | + | 0.854462i | \(0.673887\pi\) | |||||||
\(608\) | 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 | \(0.504047\pi\) | |||||||
\(614\) | 3.67879 | − | 3.29437i | 0.148464 | − | 0.132950i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 13.2971 | − | 13.1240i | 0.535756 | − | 0.528781i | ||||
\(617\) | 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 | 0.144650 | − | 0.989483i | \(-0.453794\pi\) |
0.929242 | + | 0.369470i | \(0.120461\pi\) | |||||||
\(620\) | −5.91099 | + | 53.4483i | −0.237391 | + | 2.14653i | ||||
\(621\) | 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 | ||||
\(626\) | −27.8126 | + | 5.83294i | −1.11161 | + | 0.233131i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.53291 | + | 1.55004i | −0.140978 | + | 0.0618534i | ||||
\(629\) | − | 2.20937i | − | 0.0880935i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 27.5528i | − | 1.09686i | −0.836197 | − | 0.548429i | \(-0.815226\pi\) | ||
0.836197 | − | 0.548429i | \(-0.184774\pi\) | |||||||
\(632\) | −19.8721 | + | 1.92527i | −0.790468 | + | 0.0765831i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.18056 | + | 29.4701i | 0.245461 | + | 1.17041i | ||||
\(635\) | −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 | ||||||||
\(640\) | −35.7579 | − | 4.44626i | −1.41345 | − | 0.175754i | ||||
\(641\) | 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 | \(-0.883389\pi\) | ||
0.933643 | − | 0.358205i | \(-0.116611\pi\) | |||||||
\(644\) | −22.5893 | + | 14.5467i | −0.890143 | + | 0.573219i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −14.8217 | − | 16.5512i | −0.583152 | − | 0.651200i | ||||
\(647\) | 23.0188 | + | 39.8697i | 0.904961 | + | 1.56744i | 0.820969 | + | 0.570973i | \(0.193434\pi\) |
0.0839921 | + | 0.996466i | \(0.473233\pi\) | |||||||
\(648\) | 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 | ||||
\(656\) | 10.7165 | − | 47.8577i | 0.418409 | − | 1.86853i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.96360 | + | 18.5760i | −0.115533 | + | 0.724167i | ||||
\(659\) | 23.5790 | 0.918508 | 0.459254 | − | 0.888305i | \(-0.348117\pi\) | ||||
0.459254 | + | 0.888305i | \(0.348117\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.01914 | − | 13.8896i | −0.311908 | − | 0.540241i | 0.666867 | − | 0.745177i | \(-0.267635\pi\) |
−0.978775 | + | 0.204936i | \(0.934302\pi\) | |||||||
\(662\) | −1.35245 | − | 6.44873i | −0.0525643 | − | 0.250637i | ||||
\(663\) | 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 | ||||
\(668\) | 2.32275 | − | 21.0027i | 0.0898697 | − | 0.812619i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.00961726 | − | 0.0107395i | −0.000371547 | − | 0.000414903i | ||||
\(671\) | 4.98110 | 0.192293 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −44.4724 | −1.71429 | −0.857143 | − | 0.515079i | \(-0.827763\pi\) | ||||
−0.857143 | + | 0.515079i | \(0.827763\pi\) | |||||||
\(674\) | 6.99808 | + | 7.81468i | 0.269556 | + | 0.301010i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.75021 | + | 61.0366i | −0.259623 | + | 2.34756i | ||||
\(677\) | 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 | ||||||||
\(682\) | −6.11801 | − | 29.1719i | −0.234271 | − | 1.11705i | ||||
\(683\) | −4.06412 | − | 7.03927i | −0.155509 | − | 0.269350i | 0.777735 | − | 0.628592i | \(-0.216369\pi\) |
−0.933244 | + | 0.359242i | \(0.883035\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −65.6828 | −2.50961 | ||||||||
\(686\) | 24.4711 | + | 9.33618i | 0.934312 | + | 0.356457i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.25503 | − | 14.5363i | 0.124097 | − | 0.554191i | ||||
\(689\) | 47.7303 | − | 27.5571i | 1.81838 | − | 1.04984i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.95759 | − | 5.17166i | −0.340763 | − | 0.196739i | 0.319847 | − | 0.947469i | \(-0.396369\pi\) |
−0.660609 | + | 0.750730i | \(0.729702\pi\) | |||||||
\(692\) | 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 | ||||
\(698\) | 15.7427 | + | 17.5797i | 0.595870 | + | 0.665402i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.32012 | + | 27.1860i | 0.0498958 | + | 1.02753i | ||||
\(701\) | − | 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 | ||||
\(704\) | 19.6015 | − | 3.83409i | 0.738758 | − | 0.144503i | ||||
\(705\) | 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 | \(0.969135\pi\) | |||||||
\(710\) | −11.4721 | − | 54.7010i | −0.430538 | − | 2.05289i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.56992 | − | 0.152099i | 0.0588354 | − | 0.00570015i | ||||
\(713\) | 42.8646i | 1.60529i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 52.5669i | 1.96589i | ||||||||
\(716\) | 28.4034 | − | 12.4618i | 1.06148 | − | 0.465719i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 38.3047 | − | 8.03337i | 1.42952 | − | 0.299803i | ||||
\(719\) | 23.5411 | − | 40.7744i | 0.877936 | − | 1.52063i | 0.0243332 | − | 0.999704i | \(-0.492254\pi\) |
0.853602 | − | 0.520925i | \(-0.174413\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.80413 | − | 3.09053i | 0.141673 | − | 0.115097i | ||||
\(722\) | 3.01747 | − | 9.20181i | 0.112299 | − | 0.342456i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.38508 | − | 12.5242i | 0.0514762 | − | 0.465458i | ||||
\(725\) | 7.10750 | − | 4.10351i | 0.263966 | − | 0.152401i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23.8977i | 0.886317i | 0.896443 | + | 0.443158i | \(0.146142\pi\) | ||||
−0.896443 | + | 0.443158i | \(0.853858\pi\) | |||||||
\(728\) | −12.4908 | − | 47.8688i | −0.462942 | − | 1.77414i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 6.42665 | − | 5.75509i | 0.237861 | − | 0.213006i | ||||
\(731\) | −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 | −0.0954118 | − | 0.995438i | \(-0.530417\pi\) |
0.814369 | + | 0.580348i | \(0.197083\pi\) | |||||||
\(740\) | −1.82981 | − | 4.17056i | −0.0672651 | − | 0.153313i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −19.6581 | + | 24.2198i | −0.721670 | + | 0.889139i | ||||
\(743\) | 25.8493 | 0.948319 | 0.474159 | − | 0.880439i | \(-0.342752\pi\) | ||||
0.474159 | + | 0.880439i | \(0.342752\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.28578 | − | 5.69114i | −0.120382 | − | 0.208507i | ||||
\(746\) | −12.7769 | + | 2.67960i | −0.467794 | + | 0.0981071i | ||||
\(747\) | 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 | 0.990073 | − | 0.140555i | \(-0.0448885\pi\) |
0.373313 | + | 0.927706i | \(0.378222\pi\) | |||||||
\(752\) | −13.6174 | + | 14.7975i | −0.496575 | + | 0.539610i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.1126 | + | 9.95142i | −0.404699 | + | 0.362409i | ||||
\(755\) | −12.5950 | −0.458378 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.176821 | 0.00642668 | 0.00321334 | − | 0.999995i | \(-0.498977\pi\) | ||||
0.00321334 | + | 0.999995i | \(0.498977\pi\) | |||||||
\(758\) | −9.88675 | + | 8.85362i | −0.359103 | + | 0.321578i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −41.6862 | − | 18.9679i | −1.51212 | − | 0.688038i | ||||
\(761\) | 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 | ||||||||
\(766\) | 14.7043 | − | 3.08383i | 0.531289 | − | 0.111423i | ||||
\(767\) | −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 | \(0.160878\pi\) | |||||||
\(770\) | −10.6308 | − | 27.7878i | −0.383108 | − | 1.00140i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 33.3018 | − | 14.6110i | 1.19856 | − | 0.525860i | ||||
\(773\) | −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 | ||||
\(782\) | −16.5301 | + | 14.8027i | −0.591114 | + | 0.529345i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 16.2836 | + | 22.7782i | 0.581556 | + | 0.813506i | ||||
\(785\) | 6.14369i | 0.219278i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.2769 | + | 6.51073i | −0.401979 | + | 0.232083i | −0.687337 | − | 0.726338i | \(-0.741221\pi\) |
0.285359 | + | 0.958421i | \(0.407887\pi\) | |||||||
\(788\) | 30.0777 | + | 3.32637i | 1.07147 | + | 0.118497i | ||||
\(789\) | 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 | ||||
\(794\) | −10.9873 | + | 2.30430i | −0.389926 | + | 0.0817764i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.7989 | + | 26.8925i | 0.418201 | + | 0.953179i | ||||
\(797\) | 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 | ||||||||
\(800\) | −14.8891 | + | 24.9993i | −0.526408 | + | 0.883860i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.75515 | + | 8.36888i | 0.0619763 | + | 0.295515i | ||||
\(803\) | −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 | ||||||||
\(808\) | 3.77075 | − | 8.28708i | 0.132655 | − | 0.291539i | ||||
\(809\) | 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 | \(0.0339493\pi\) | ||||
−0.994318 | + | 0.106453i | \(0.966051\pi\) | |||||||
\(812\) | 3.86181 | − | 7.50784i | 0.135523 | − | 0.263474i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.68407 | + | 1.88058i | 0.0590266 | + | 0.0659144i | ||||
\(815\) | 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 | −0.747893 | − | 0.663819i | \(-0.768934\pi\) |
0.200938 | + | 0.979604i | \(0.435601\pi\) | |||||||
\(824\) | 5.21530 | − | 0.505274i | 0.181684 | − | 0.0176021i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 31.1918 | + | 25.3169i | 1.08530 | + | 0.880886i | ||||
\(827\) | −30.9864 | −1.07750 | −0.538751 | − | 0.842465i | \(-0.681104\pi\) | ||||
−0.538751 | + | 0.842465i | \(0.681104\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.8585 | − | 37.8601i | −0.759178 | − | 1.31493i | −0.943270 | − | 0.332026i | \(-0.892268\pi\) |
0.184092 | − | 0.982909i | \(-0.441065\pi\) | |||||||
\(830\) | 7.33431 | + | 34.9714i | 0.254578 | + | 1.21388i | ||||
\(831\) | 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 | ||||
\(836\) | 25.2320 | + | 2.79048i | 0.872667 | + | 0.0965106i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 22.0561 | + | 24.6298i | 0.761914 | + | 0.850821i | ||||
\(839\) | −35.4628 | −1.22431 | −0.612156 | − | 0.790737i | \(-0.709698\pi\) | ||||
−0.612156 | + | 0.790737i | \(0.709698\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 26.4542 | 0.912215 | ||||||||
\(842\) | −17.9816 | − | 20.0799i | −0.619687 | − | 0.691998i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −25.2288 | − | 2.79013i | −0.868412 | − | 0.0960401i | ||||
\(845\) | 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 | ||||||||
\(850\) | 4.61387 | + | 21.9999i | 0.158255 | + | 0.754589i | ||||
\(851\) | −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 | \(0.320812\pi\) | |||||||
\(854\) | −1.17611 | + | 7.37191i | −0.0402457 | + | 0.252262i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.733545 | + | 7.57144i | 0.0250720 | + | 0.258786i | ||||
\(857\) | 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 | −0.256807 | − | 0.966463i | \(-0.582670\pi\) |
−0.965385 | + | 0.260830i | \(0.916004\pi\) | |||||||
\(860\) | −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 | −0.767947 | − | 0.640514i | \(-0.778721\pi\) |
0.938674 | + | 0.344805i | \(0.112055\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.73271 | − | 3.00115i | −0.0589140 | − | 0.102042i | ||||
\(866\) | −19.8517 | − | 22.1682i | −0.674589 | − | 0.753306i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 44.6182 | − | 2.16661i | 1.51444 | − | 0.0735395i | ||||
\(869\) | − | 17.6229i | − | 0.597817i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.0183245 | − | 0.0105796i | 0.000620902 | − | 0.000358478i | ||||
\(872\) | −5.99199 | − | 2.72645i | −0.202914 | − | 0.0923292i | ||||
\(873\) | 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 | \(0.194978\pi\) | |||||||
\(878\) | −9.35641 | − | 44.6132i | −0.315764 | − | 1.50562i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 6.95004 | − | 31.0375i | 0.234286 | − | 1.04627i | ||||
\(881\) | 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 | \(-0.714438\pi\) | ||
0.623864 | − | 0.781533i | \(-0.285562\pi\) | |||||||
\(884\) | −16.4153 | − | 37.4144i | −0.552107 | − | 1.25838i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.27781 | + | 1.10688i | −0.177311 | + | 0.0371863i | ||||
\(887\) | 21.0703 | − | 36.4948i | 0.707471 | − | 1.22538i | −0.258322 | − | 0.966059i | \(-0.583169\pi\) |
0.965792 | − | 0.259316i | \(-0.0834972\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 40.4543 | + | 15.4554i | 1.35679 | + | 0.518356i | ||||
\(890\) | 0.782649 | − | 2.38670i | 0.0262345 | − | 0.0800023i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −53.6192 | − | 5.92990i | −1.79530 | − | 0.198548i | ||||
\(893\) | −22.1353 | + | 12.7798i | −0.740731 | + | 0.427661i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 49.3932i | − | 1.65103i | ||||||
\(896\) | 1.04617 | + | 29.9150i | 0.0349502 | + | 0.999389i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −35.5012 | + | 31.7915i | −1.18469 | + | 1.06090i | ||||
\(899\) | −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 | −0.837533 | − | 0.546387i | \(-0.816003\pi\) |
0.0544183 | + | 0.998518i | \(0.482670\pi\) | |||||||
\(908\) | −38.2478 | + | 16.7810i | −1.26930 | + | 0.556896i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −77.7978 | − | 12.4118i | −2.57897 | − | 0.411447i | ||||
\(911\) | 34.1346 | 1.13093 | 0.565466 | − | 0.824772i | \(-0.308697\pi\) | ||||
0.565466 | + | 0.824772i | \(0.308697\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.90303 | − | 17.1526i | −0.327743 | − | 0.567667i | ||||
\(914\) | −35.5078 | + | 7.44681i | −1.17449 | + | 0.246318i | ||||
\(915\) | 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 | 0.935214 | − | 0.354083i | \(-0.115207\pi\) |
0.160962 | + | 0.986961i | \(0.448540\pi\) | |||||||
\(920\) | −18.9436 | + | 41.6329i | −0.624553 | + | 1.37260i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 13.5469 | − | 12.1313i | 0.446143 | − | 0.399523i | ||||
\(923\) | 82.0334 | 2.70016 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.67766 | −0.120921 | ||||||||
\(926\) | −15.8598 | + | 14.2025i | −0.521186 | + | 0.466724i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 7.87703 | − | 4.40645i | 0.258576 | − | 0.144649i | ||||
\(929\) | −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 | ||||||||
\(934\) | 16.1998 | − | 3.39747i | 0.530074 | − | 0.111169i | ||||
\(935\) | −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 | \(0.575727\pi\) | |||||||
\(938\) | −0.00754706 | + | 0.00929841i | −0.000246420 | + | 0.000303604i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 12.8664 | + | 29.3255i | 0.419655 | + | 0.956493i | ||||
\(941\) | −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 | −0.960735 | − | 0.277466i | \(-0.910505\pi\) |
0.720660 | + | 0.693288i | \(0.243839\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.33100 | + | 10.9656i | 0.205513 | + | 0.355959i | ||||
\(950\) | −27.5507 | + | 24.6718i | −0.893864 | + | 0.800459i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 16.2439 | + | 16.4581i | 0.526467 | + | 0.533411i | ||||
\(953\) | 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 | ||||
\(956\) | 4.52101 | − | 40.8798i | 0.146220 | − | 1.32215i | ||||
\(957\) | 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 | ||||
\(962\) | 6.54222 | − | 1.37205i | 0.210930 | − | 0.0442368i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 41.2416 | − | 18.0945i | 1.32830 | − | 0.582783i | ||||
\(965\) | − | 57.9115i | − | 1.86424i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 39.3749i | − | 1.26621i | −0.774065 | − | 0.633106i | \(-0.781780\pi\) | ||
0.774065 | − | 0.633106i | \(-0.218220\pi\) | |||||||
\(968\) | −1.30017 | − | 13.4200i | −0.0417892 | − | 0.431336i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.117553 | − | 0.560516i | −0.00377440 | − | 0.0179971i | ||||
\(971\) | −30.0829 | + | 52.1052i | −0.965407 | + | 1.67213i | −0.256890 | + | 0.966441i | \(0.582698\pi\) |
−0.708517 | + | 0.705694i | \(0.750635\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.17159 | + | 1.59374i | 0.133735 | + | 0.0510928i | ||||
\(974\) | 7.44577 | + | 2.44163i | 0.238578 | + | 0.0782348i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.40408 | + | 5.87243i | −0.172980 | + | 0.187972i | ||||
\(977\) | −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 | ||||||||
\(980\) | 43.6353 | − | 9.17227i | 1.39388 | − | 0.292997i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −28.6055 | − | 31.9435i | −0.912838 | − | 1.01936i | ||||
\(983\) | −0.291450 | − | 0.504806i | −0.00929582 | − | 0.0161008i | 0.861340 | − | 0.508029i | \(-0.169626\pi\) |
−0.870636 | + | 0.491928i | \(0.836292\pi\) | |||||||
\(984\) | 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 | −0.389845 | − | 0.920880i | \(-0.627471\pi\) |
0.602583 | + | 0.798056i | \(0.294138\pi\) | |||||||
\(992\) | 41.0295 | + | 24.4363i | 1.30269 | + | 0.775853i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −43.3642 | + | 16.5899i | −1.37543 | + | 0.526201i | ||||
\(995\) | 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 | \(0.702096\pi\) | |||||||
\(998\) | 3.99548 | + | 19.0512i | 0.126475 | + | 0.603056i | ||||
\(999\) | 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.d.107.4 | yes | 28 | |
3.2 | odd | 2 | inner | 756.2.be.d.107.11 | yes | 28 | |
4.3 | odd | 2 | 756.2.be.c.107.2 | ✓ | 28 | ||
7.4 | even | 3 | 756.2.be.c.431.13 | yes | 28 | ||
12.11 | even | 2 | 756.2.be.c.107.13 | yes | 28 | ||
21.11 | odd | 6 | 756.2.be.c.431.2 | yes | 28 | ||
28.11 | odd | 6 | inner | 756.2.be.d.431.11 | yes | 28 | |
84.11 | even | 6 | inner | 756.2.be.d.431.4 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.be.c.107.2 | ✓ | 28 | 4.3 | odd | 2 | ||
756.2.be.c.107.13 | yes | 28 | 12.11 | even | 2 | ||
756.2.be.c.431.2 | yes | 28 | 21.11 | odd | 6 | ||
756.2.be.c.431.13 | yes | 28 | 7.4 | even | 3 | ||
756.2.be.d.107.4 | yes | 28 | 1.1 | even | 1 | trivial | |
756.2.be.d.107.11 | yes | 28 | 3.2 | odd | 2 | inner | |
756.2.be.d.431.4 | yes | 28 | 84.11 | even | 6 | inner | |
756.2.be.d.431.11 | yes | 28 | 28.11 | odd | 6 | inner |