Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(16,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.p (of order \(14\), degree \(6\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 16.14 | ||
Character | \(\chi\) | \(=\) | 731.16 |
Dual form | 731.2.p.a.594.14 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.456593 | − | 2.00046i | −0.322860 | − | 1.41454i | −0.832438 | − | 0.554118i | \(-0.813056\pi\) |
0.509578 | − | 0.860424i | \(-0.329801\pi\) | |||||||
\(3\) | 2.15206 | + | 0.491193i | 1.24249 | + | 0.283590i | 0.792738 | − | 0.609563i | \(-0.208655\pi\) |
0.449753 | + | 0.893153i | \(0.351512\pi\) | |||||||
\(4\) | −1.99144 | + | 0.959029i | −0.995722 | + | 0.479514i | ||||
\(5\) | −0.261751 | + | 0.208739i | −0.117059 | + | 0.0933511i | −0.680270 | − | 0.732962i | \(-0.738137\pi\) |
0.563211 | + | 0.826313i | \(0.309566\pi\) | |||||||
\(6\) | − | 4.52939i | − | 1.84912i | ||||||
\(7\) | 2.19293i | 0.828849i | 0.910084 | + | 0.414424i | \(0.136017\pi\) | ||||
−0.910084 | + | 0.414424i | \(0.863983\pi\) | |||||||
\(8\) | 0.269092 | + | 0.337431i | 0.0951384 | + | 0.119300i | ||||
\(9\) | 1.68717 | + | 0.812500i | 0.562392 | + | 0.270833i | ||||
\(10\) | 0.537089 | + | 0.428314i | 0.169843 | + | 0.135445i | ||||
\(11\) | 2.76544 | − | 5.74249i | 0.833810 | − | 1.73143i | 0.167332 | − | 0.985901i | \(-0.446485\pi\) |
0.666478 | − | 0.745525i | \(-0.267801\pi\) | |||||||
\(12\) | −4.75677 | + | 1.08570i | −1.37316 | + | 0.313415i | ||||
\(13\) | 0.214622 | + | 0.269128i | 0.0595256 | + | 0.0746427i | 0.810703 | − | 0.585458i | \(-0.199085\pi\) |
−0.751177 | + | 0.660100i | \(0.770514\pi\) | |||||||
\(14\) | 4.38687 | − | 1.00128i | 1.17244 | − | 0.267602i | ||||
\(15\) | −0.665834 | + | 0.320649i | −0.171918 | + | 0.0827912i | ||||
\(16\) | −2.20409 | + | 2.76384i | −0.551023 | + | 0.690961i | ||||
\(17\) | 4.12060 | − | 0.143824i | 0.999391 | − | 0.0348825i | ||||
\(18\) | 0.855026 | − | 3.74611i | 0.201532 | − | 0.882968i | ||||
\(19\) | 3.02913 | − | 1.45875i | 0.694929 | − | 0.334660i | −0.0528551 | − | 0.998602i | \(-0.516832\pi\) |
0.747784 | + | 0.663942i | \(0.231118\pi\) | |||||||
\(20\) | 0.321075 | − | 0.666719i | 0.0717946 | − | 0.149083i | ||||
\(21\) | −1.07715 | + | 4.71931i | −0.235054 | + | 1.02984i | ||||
\(22\) | −12.7503 | − | 2.91018i | −2.71838 | − | 0.620452i | ||||
\(23\) | 3.29886 | − | 6.85015i | 0.687859 | − | 1.42835i | −0.205339 | − | 0.978691i | \(-0.565830\pi\) |
0.893198 | − | 0.449664i | \(-0.148456\pi\) | |||||||
\(24\) | 0.413358 | + | 0.858346i | 0.0843763 | + | 0.175209i | ||||
\(25\) | −1.08766 | + | 4.76536i | −0.217533 | + | 0.953073i | ||||
\(26\) | 0.440386 | − | 0.552227i | 0.0863668 | − | 0.108301i | ||||
\(27\) | −1.94565 | − | 1.55160i | −0.374440 | − | 0.298606i | ||||
\(28\) | −2.10308 | − | 4.36709i | −0.397445 | − | 0.825303i | ||||
\(29\) | 2.27161 | − | 0.518480i | 0.421828 | − | 0.0962794i | −0.00633754 | − | 0.999980i | \(-0.502017\pi\) |
0.428165 | + | 0.903701i | \(0.359160\pi\) | |||||||
\(30\) | 0.945462 | + | 1.18557i | 0.172617 | + | 0.216455i | ||||
\(31\) | 2.10853 | − | 0.481258i | 0.378703 | − | 0.0864365i | −0.0289320 | − | 0.999581i | \(-0.509211\pi\) |
0.407635 | + | 0.913145i | \(0.366353\pi\) | |||||||
\(32\) | 7.31304 | + | 3.52177i | 1.29278 | + | 0.622568i | ||||
\(33\) | 8.77205 | − | 10.9998i | 1.52702 | − | 1.91482i | ||||
\(34\) | −2.16915 | − | 8.17744i | −0.372006 | − | 1.40242i | ||||
\(35\) | −0.457750 | − | 0.574001i | −0.0773739 | − | 0.0970238i | ||||
\(36\) | −4.13912 | −0.689854 | ||||||||
\(37\) | 2.37210i | 0.389971i | 0.980806 | + | 0.194985i | \(0.0624660\pi\) | ||||
−0.980806 | + | 0.194985i | \(0.937534\pi\) | |||||||
\(38\) | −4.30125 | − | 5.39360i | −0.697756 | − | 0.874958i | ||||
\(39\) | 0.329686 | + | 0.684600i | 0.0527920 | + | 0.109624i | ||||
\(40\) | −0.140870 | − | 0.0321527i | −0.0222735 | − | 0.00508378i | ||||
\(41\) | −10.8882 | + | 2.48517i | −1.70046 | + | 0.388118i | −0.959117 | − | 0.283010i | \(-0.908667\pi\) |
−0.741341 | + | 0.671129i | \(0.765810\pi\) | |||||||
\(42\) | 9.93262 | 1.53264 | ||||||||
\(43\) | −3.34663 | − | 5.63916i | −0.510356 | − | 0.859963i | ||||
\(44\) | 14.0880i | 2.12384i | ||||||||
\(45\) | −0.611220 | + | 0.139507i | −0.0911153 | + | 0.0207965i | ||||
\(46\) | −15.2097 | − | 3.47152i | −2.24255 | − | 0.511847i | ||||
\(47\) | 7.97024 | − | 3.83826i | 1.16258 | − | 0.559868i | 0.249790 | − | 0.968300i | \(-0.419638\pi\) |
0.912789 | + | 0.408432i | \(0.133924\pi\) | |||||||
\(48\) | −6.10091 | + | 4.86531i | −0.880591 | + | 0.702248i | ||||
\(49\) | 2.19107 | 0.313010 | ||||||||
\(50\) | 10.0296 | 1.41839 | ||||||||
\(51\) | 8.93841 | + | 1.71449i | 1.25163 | + | 0.240077i | ||||
\(52\) | −0.685510 | − | 0.330124i | −0.0950632 | − | 0.0457800i | ||||
\(53\) | −3.47994 | + | 4.36370i | −0.478006 | + | 0.599401i | −0.961111 | − | 0.276162i | \(-0.910937\pi\) |
0.483105 | + | 0.875562i | \(0.339509\pi\) | |||||||
\(54\) | −2.21555 | + | 4.60065i | −0.301499 | + | 0.626069i | ||||
\(55\) | 0.474828 | + | 2.08036i | 0.0640258 | + | 0.280515i | ||||
\(56\) | −0.739961 | + | 0.590099i | −0.0988814 | + | 0.0788553i | ||||
\(57\) | 7.23538 | − | 1.65143i | 0.958349 | − | 0.218737i | ||||
\(58\) | −2.07440 | − | 4.30754i | −0.272382 | − | 0.565608i | ||||
\(59\) | −6.09251 | + | 7.63976i | −0.793177 | + | 0.994612i | 0.206692 | + | 0.978406i | \(0.433730\pi\) |
−0.999869 | + | 0.0162060i | \(0.994841\pi\) | |||||||
\(60\) | 1.01846 | − | 1.27711i | 0.131483 | − | 0.164874i | ||||
\(61\) | 9.09658 | + | 2.07623i | 1.16470 | + | 0.265835i | 0.760810 | − | 0.648974i | \(-0.224802\pi\) |
0.403887 | + | 0.914809i | \(0.367659\pi\) | |||||||
\(62\) | −1.92548 | − | 3.99830i | −0.244536 | − | 0.507785i | ||||
\(63\) | −1.78175 | + | 3.69985i | −0.224480 | + | 0.466137i | ||||
\(64\) | 2.13284 | − | 9.34458i | 0.266605 | − | 1.16807i | ||||
\(65\) | −0.112355 | − | 0.0256443i | −0.0139360 | − | 0.00318079i | ||||
\(66\) | −26.0100 | − | 12.5257i | −3.20161 | − | 1.54181i | ||||
\(67\) | 2.97614 | − | 1.43323i | 0.363593 | − | 0.175097i | −0.243163 | − | 0.969986i | \(-0.578185\pi\) |
0.606756 | + | 0.794888i | \(0.292471\pi\) | |||||||
\(68\) | −8.06800 | + | 4.23819i | −0.978389 | + | 0.513956i | ||||
\(69\) | 10.4641 | − | 13.1215i | 1.25973 | − | 1.57965i | ||||
\(70\) | −0.939262 | + | 1.17780i | −0.112263 | + | 0.140774i | ||||
\(71\) | −2.05473 | − | 4.26669i | −0.243852 | − | 0.506363i | 0.742738 | − | 0.669582i | \(-0.233527\pi\) |
−0.986590 | + | 0.163219i | \(0.947812\pi\) | |||||||
\(72\) | 0.179843 | + | 0.787942i | 0.0211946 | + | 0.0928598i | ||||
\(73\) | −6.34691 | + | 5.06150i | −0.742850 | + | 0.592403i | −0.920064 | − | 0.391769i | \(-0.871863\pi\) |
0.177213 | + | 0.984172i | \(0.443292\pi\) | |||||||
\(74\) | 4.74530 | − | 1.08308i | 0.551630 | − | 0.125906i | ||||
\(75\) | −4.68143 | + | 9.72109i | −0.540565 | + | 1.12249i | ||||
\(76\) | −4.63335 | + | 5.81004i | −0.531482 | + | 0.666457i | ||||
\(77\) | 12.5929 | + | 6.06440i | 1.43509 | + | 0.691103i | ||||
\(78\) | 1.21899 | − | 0.972109i | 0.138023 | − | 0.110070i | ||||
\(79\) | − | 1.46516i | − | 0.164843i | −0.996598 | − | 0.0824215i | \(-0.973735\pi\) | ||
0.996598 | − | 0.0824215i | \(-0.0262654\pi\) | |||||||
\(80\) | − | 1.18352i | − | 0.132321i | ||||||
\(81\) | −6.92769 | − | 8.68705i | −0.769743 | − | 0.965228i | ||||
\(82\) | 9.94299 | + | 20.6468i | 1.09802 | + | 2.28006i | ||||
\(83\) | −2.22779 | + | 9.76057i | −0.244531 | + | 1.07136i | 0.692308 | + | 0.721602i | \(0.256594\pi\) |
−0.936840 | + | 0.349759i | \(0.886263\pi\) | |||||||
\(84\) | −2.38086 | − | 10.4313i | −0.259774 | − | 1.13814i | ||||
\(85\) | −1.04855 | + | 0.897777i | −0.113731 | + | 0.0973775i | ||||
\(86\) | −9.75288 | + | 9.26961i | −1.05168 | + | 0.999568i | ||||
\(87\) | 5.14331 | 0.551421 | ||||||||
\(88\) | 2.68185 | − | 0.612114i | 0.285886 | − | 0.0652516i | ||||
\(89\) | −2.94631 | + | 12.9086i | −0.312308 | + | 1.36831i | 0.538407 | + | 0.842685i | \(0.319026\pi\) |
−0.850715 | + | 0.525627i | \(0.823831\pi\) | |||||||
\(90\) | 0.558158 | + | 1.15903i | 0.0588350 | + | 0.122172i | ||||
\(91\) | −0.590178 | + | 0.470652i | −0.0618675 | + | 0.0493377i | ||||
\(92\) | 16.8054i | 1.75208i | ||||||||
\(93\) | 4.77407 | 0.495048 | ||||||||
\(94\) | −11.3175 | − | 14.1917i | −1.16731 | − | 1.46376i | ||||
\(95\) | −0.488378 | + | 1.01413i | −0.0501065 | + | 0.104047i | ||||
\(96\) | 14.0082 | + | 11.1712i | 1.42971 | + | 1.14015i | ||||
\(97\) | −5.54489 | + | 11.5141i | −0.562998 | + | 1.16908i | 0.404110 | + | 0.914710i | \(0.367581\pi\) |
−0.967108 | + | 0.254367i | \(0.918133\pi\) | |||||||
\(98\) | −1.00043 | − | 4.38316i | −0.101058 | − | 0.442766i | ||||
\(99\) | 9.33155 | − | 7.44166i | 0.937856 | − | 0.747915i | ||||
\(100\) | −2.40410 | − | 10.5331i | −0.240410 | − | 1.05331i | ||||
\(101\) | −14.2579 | + | 6.86625i | −1.41872 | + | 0.683217i | −0.976862 | − | 0.213870i | \(-0.931393\pi\) |
−0.441853 | + | 0.897087i | \(0.645679\pi\) | |||||||
\(102\) | −0.651436 | − | 18.6638i | −0.0645017 | − | 1.84799i | ||||
\(103\) | −8.03854 | + | 10.0800i | −0.792060 | + | 0.993212i | 0.207826 | + | 0.978166i | \(0.433361\pi\) |
−0.999887 | + | 0.0150466i | \(0.995210\pi\) | |||||||
\(104\) | −0.0330589 | + | 0.144840i | −0.00324169 | + | 0.0142028i | ||||
\(105\) | −0.703160 | − | 1.46013i | −0.0686214 | − | 0.142494i | ||||
\(106\) | 10.3183 | + | 4.96905i | 1.00221 | + | 0.482637i | ||||
\(107\) | −3.95536 | − | 0.902785i | −0.382379 | − | 0.0872756i | 0.0270106 | − | 0.999635i | \(-0.491401\pi\) |
−0.409390 | + | 0.912360i | \(0.634258\pi\) | |||||||
\(108\) | 5.36268 | + | 1.22400i | 0.516024 | + | 0.117779i | ||||
\(109\) | 4.75098 | − | 9.86551i | 0.455061 | − | 0.944944i | −0.539617 | − | 0.841911i | \(-0.681431\pi\) |
0.994678 | − | 0.103033i | \(-0.0328549\pi\) | |||||||
\(110\) | 3.94488 | − | 1.89975i | 0.376129 | − | 0.181134i | ||||
\(111\) | −1.16516 | + | 5.10490i | −0.110592 | + | 0.484535i | ||||
\(112\) | −6.06091 | − | 4.83341i | −0.572702 | − | 0.456714i | ||||
\(113\) | 0.913924 | + | 0.728830i | 0.0859748 | + | 0.0685626i | 0.665534 | − | 0.746368i | \(-0.268204\pi\) |
−0.579559 | + | 0.814930i | \(0.696775\pi\) | |||||||
\(114\) | −6.60725 | − | 13.7201i | −0.618825 | − | 1.28500i | ||||
\(115\) | 0.566417 | + | 2.48163i | 0.0528186 | + | 0.231413i | ||||
\(116\) | −4.02655 | + | 3.21106i | −0.373856 | + | 0.298140i | ||||
\(117\) | 0.143439 | + | 0.628447i | 0.0132609 | + | 0.0580999i | ||||
\(118\) | 18.0649 | + | 8.69958i | 1.66301 | + | 0.800861i | ||||
\(119\) | 0.315396 | + | 9.03617i | 0.0289123 | + | 0.828344i | ||||
\(120\) | −0.287367 | − | 0.138389i | −0.0262329 | − | 0.0126331i | ||||
\(121\) | −18.4701 | − | 23.1608i | −1.67910 | − | 2.10553i | ||||
\(122\) | − | 19.1454i | − | 1.73334i | ||||||
\(123\) | −24.6528 | −2.22287 | ||||||||
\(124\) | −3.73748 | + | 2.98054i | −0.335636 | + | 0.267660i | ||||
\(125\) | −1.43633 | − | 2.98256i | −0.128469 | − | 0.266768i | ||||
\(126\) | 8.21496 | + | 1.87501i | 0.731847 | + | 0.167039i | ||||
\(127\) | 3.77538 | + | 16.5410i | 0.335011 | + | 1.46778i | 0.809292 | + | 0.587406i | \(0.199851\pi\) |
−0.474281 | + | 0.880374i | \(0.657292\pi\) | |||||||
\(128\) | −3.43363 | −0.303493 | ||||||||
\(129\) | −4.43222 | − | 13.7796i | −0.390236 | − | 1.21323i | ||||
\(130\) | 0.236472i | 0.0207399i | ||||||||
\(131\) | 5.25697 | − | 1.19987i | 0.459304 | − | 0.104833i | 0.0133927 | − | 0.999910i | \(-0.495737\pi\) |
0.445911 | + | 0.895077i | \(0.352880\pi\) | |||||||
\(132\) | −6.91992 | + | 30.3181i | −0.602301 | + | 2.63885i | ||||
\(133\) | 3.19893 | + | 6.64265i | 0.277383 | + | 0.575991i | ||||
\(134\) | −4.22602 | − | 5.29926i | −0.365072 | − | 0.457786i | ||||
\(135\) | 0.833155 | 0.0717065 | ||||||||
\(136\) | 1.15735 | + | 1.35171i | 0.0992419 | + | 0.115908i | ||||
\(137\) | 2.65160 | + | 3.32500i | 0.226541 | + | 0.284074i | 0.882092 | − | 0.471077i | \(-0.156135\pi\) |
−0.655550 | + | 0.755151i | \(0.727563\pi\) | |||||||
\(138\) | −31.0270 | − | 14.9418i | −2.64119 | − | 1.27193i | ||||
\(139\) | −17.4279 | − | 13.8983i | −1.47821 | − | 1.17884i | −0.942395 | − | 0.334502i | \(-0.891432\pi\) |
−0.535818 | − | 0.844333i | \(-0.679997\pi\) | |||||||
\(140\) | 1.46207 | + | 0.704094i | 0.123567 | + | 0.0595068i | ||||
\(141\) | 19.0377 | − | 4.34524i | 1.60327 | − | 0.365935i | ||||
\(142\) | −7.59719 | + | 6.05856i | −0.637542 | + | 0.508423i | ||||
\(143\) | 2.13899 | − | 0.488210i | 0.178871 | − | 0.0408262i | ||||
\(144\) | −5.96431 | + | 2.87226i | −0.497026 | + | 0.239355i | ||||
\(145\) | −0.486369 | + | 0.609887i | −0.0403907 | + | 0.0506484i | ||||
\(146\) | 13.0233 | + | 10.3857i | 1.07782 | + | 0.859530i | ||||
\(147\) | 4.71531 | + | 1.07624i | 0.388912 | + | 0.0887666i | ||||
\(148\) | −2.27491 | − | 4.72390i | −0.186997 | − | 0.388302i | ||||
\(149\) | 16.5606 | + | 7.97515i | 1.35670 | + | 0.653350i | 0.963897 | − | 0.266275i | \(-0.0857928\pi\) |
0.392798 | + | 0.919625i | \(0.371507\pi\) | |||||||
\(150\) | 21.5842 | + | 4.92645i | 1.76234 | + | 0.402243i | ||||
\(151\) | −4.72947 | + | 20.7212i | −0.384879 | + | 1.68627i | 0.297062 | + | 0.954858i | \(0.403993\pi\) |
−0.681941 | + | 0.731407i | \(0.738864\pi\) | |||||||
\(152\) | 1.30734 | + | 0.629582i | 0.106039 | + | 0.0510658i | ||||
\(153\) | 7.06902 | + | 3.10533i | 0.571497 | + | 0.251051i | ||||
\(154\) | 6.38181 | − | 27.9605i | 0.514261 | − | 2.25312i | ||||
\(155\) | −0.451452 | + | 0.566103i | −0.0362615 | + | 0.0454705i | ||||
\(156\) | −1.31310 | − | 1.04716i | −0.105132 | − | 0.0838402i | ||||
\(157\) | −1.07202 | + | 0.516255i | −0.0855561 | + | 0.0412017i | −0.476172 | − | 0.879352i | \(-0.657976\pi\) |
0.390616 | + | 0.920554i | \(0.372262\pi\) | |||||||
\(158\) | −2.93099 | + | 0.668980i | −0.233177 | + | 0.0532212i | ||||
\(159\) | −9.63244 | + | 7.68162i | −0.763902 | + | 0.609192i | ||||
\(160\) | −2.64933 | + | 0.604692i | −0.209448 | + | 0.0478051i | ||||
\(161\) | 15.0219 | + | 7.23416i | 1.18389 | + | 0.570131i | ||||
\(162\) | −14.2150 | + | 17.8250i | −1.11684 | + | 1.40047i | ||||
\(163\) | 4.61807 | − | 9.58952i | 0.361715 | − | 0.751109i | −0.638107 | − | 0.769947i | \(-0.720282\pi\) |
0.999823 | + | 0.0188382i | \(0.00599675\pi\) | |||||||
\(164\) | 19.3000 | − | 15.3912i | 1.50707 | − | 1.20185i | ||||
\(165\) | 4.71028i | 0.366695i | ||||||||
\(166\) | 20.5429 | 1.59443 | ||||||||
\(167\) | 10.2108 | − | 8.14281i | 0.790132 | − | 0.630109i | −0.142968 | − | 0.989727i | \(-0.545664\pi\) |
0.933100 | + | 0.359618i | \(0.117093\pi\) | |||||||
\(168\) | −1.88229 | + | 0.906464i | −0.145222 | + | 0.0699352i | ||||
\(169\) | 2.86641 | − | 12.5585i | 0.220493 | − | 0.966042i | ||||
\(170\) | 2.27473 | + | 1.68766i | 0.174464 | + | 0.129438i | ||||
\(171\) | 6.29590 | 0.481459 | ||||||||
\(172\) | 12.0727 | + | 8.02055i | 0.920537 | + | 0.611561i | ||||
\(173\) | − | 10.7837i | − | 0.819873i | −0.912114 | − | 0.409936i | \(-0.865551\pi\) | ||
0.912114 | − | 0.409936i | \(-0.134449\pi\) | |||||||
\(174\) | −2.34840 | − | 10.2890i | −0.178032 | − | 0.780008i | ||||
\(175\) | −10.4501 | − | 2.38517i | −0.789953 | − | 0.180302i | ||||
\(176\) | 9.77606 | + | 20.3002i | 0.736898 | + | 1.53018i | ||||
\(177\) | −16.8640 | + | 13.4486i | −1.26758 | + | 1.01086i | ||||
\(178\) | 27.1685 | 2.03637 | ||||||||
\(179\) | −18.4194 | −1.37673 | −0.688366 | − | 0.725364i | \(-0.741672\pi\) | ||||
−0.688366 | + | 0.725364i | \(0.741672\pi\) | |||||||
\(180\) | 1.08342 | − | 0.863998i | 0.0807533 | − | 0.0643986i | ||||
\(181\) | −7.88345 | + | 16.3701i | −0.585972 | + | 1.21678i | 0.371547 | + | 0.928414i | \(0.378827\pi\) |
−0.957519 | + | 0.288369i | \(0.906887\pi\) | |||||||
\(182\) | 1.21099 | + | 0.965735i | 0.0897648 | + | 0.0715850i | ||||
\(183\) | 18.5565 | + | 8.93635i | 1.37174 | + | 0.660594i | ||||
\(184\) | 3.19915 | − | 0.730184i | 0.235844 | − | 0.0538299i | ||||
\(185\) | −0.495151 | − | 0.620899i | −0.0364042 | − | 0.0456494i | ||||
\(186\) | −2.17981 | − | 9.55036i | −0.159831 | − | 0.700266i | ||||
\(187\) | 10.5693 | − | 24.0602i | 0.772907 | − | 1.75946i | ||||
\(188\) | −12.1913 | + | 15.2874i | −0.889140 | + | 1.11495i | ||||
\(189\) | 3.40255 | − | 4.26666i | 0.247499 | − | 0.310354i | ||||
\(190\) | 2.25171 | + | 0.513939i | 0.163356 | + | 0.0372851i | ||||
\(191\) | 3.34493 | − | 1.61084i | 0.242031 | − | 0.116556i | −0.308937 | − | 0.951083i | \(-0.599973\pi\) |
0.550968 | + | 0.834527i | \(0.314259\pi\) | |||||||
\(192\) | 9.17999 | − | 19.0624i | 0.662509 | − | 1.37571i | ||||
\(193\) | 13.8206 | + | 3.15447i | 0.994830 | + | 0.227063i | 0.688794 | − | 0.724957i | \(-0.258140\pi\) |
0.306035 | + | 0.952020i | \(0.400997\pi\) | |||||||
\(194\) | 25.5653 | + | 5.83510i | 1.83548 | + | 0.418936i | ||||
\(195\) | −0.229199 | − | 0.110376i | −0.0164133 | − | 0.00790421i | ||||
\(196\) | −4.36339 | + | 2.10130i | −0.311671 | + | 0.150093i | ||||
\(197\) | 20.5853 | + | 4.69846i | 1.46664 | + | 0.334751i | 0.879953 | − | 0.475061i | \(-0.157574\pi\) |
0.586689 | + | 0.809812i | \(0.300431\pi\) | |||||||
\(198\) | −19.1475 | − | 15.2696i | −1.36075 | − | 1.08516i | ||||
\(199\) | 21.1949 | + | 16.9024i | 1.50247 | + | 1.19818i | 0.923954 | + | 0.382503i | \(0.124938\pi\) |
0.578512 | + | 0.815674i | \(0.303634\pi\) | |||||||
\(200\) | −1.90066 | + | 0.915310i | −0.134397 | + | 0.0647222i | ||||
\(201\) | 7.10882 | − | 1.62254i | 0.501417 | − | 0.114445i | ||||
\(202\) | 20.2458 | + | 25.3874i | 1.42449 | + | 1.78625i | ||||
\(203\) | 1.13699 | + | 4.98148i | 0.0798010 | + | 0.349631i | ||||
\(204\) | −19.4446 | + | 5.15788i | −1.36139 | + | 0.361124i | ||||
\(205\) | 2.33125 | − | 2.92330i | 0.162822 | − | 0.204172i | ||||
\(206\) | 23.8350 | + | 11.4783i | 1.66067 | + | 0.799734i | ||||
\(207\) | 11.1315 | − | 8.87707i | 0.773692 | − | 0.616999i | ||||
\(208\) | −1.21688 | −0.0843751 | ||||||||
\(209\) | − | 21.4288i | − | 1.48226i | ||||||
\(210\) | −2.59987 | + | 2.07333i | −0.179408 | + | 0.143073i | ||||
\(211\) | −2.35225 | − | 4.88450i | −0.161936 | − | 0.336263i | 0.804174 | − | 0.594393i | \(-0.202608\pi\) |
−0.966110 | + | 0.258131i | \(0.916894\pi\) | |||||||
\(212\) | 2.74518 | − | 12.0274i | 0.188540 | − | 0.826047i | ||||
\(213\) | −2.32613 | − | 10.1914i | −0.159384 | − | 0.698305i | ||||
\(214\) | 8.32476i | 0.569069i | ||||||||
\(215\) | 2.05310 | + | 0.777481i | 0.140020 | + | 0.0530237i | ||||
\(216\) | − | 1.07404i | − | 0.0730794i | ||||||
\(217\) | 1.05536 | + | 4.62385i | 0.0716428 | + | 0.313888i | ||||
\(218\) | −21.9049 | − | 4.99964i | −1.48358 | − | 0.338618i | ||||
\(219\) | −16.1451 | + | 7.77507i | −1.09098 | + | 0.525390i | ||||
\(220\) | −2.94071 | − | 3.68754i | −0.198263 | − | 0.248614i | ||||
\(221\) | 0.923080 | + | 1.07810i | 0.0620931 | + | 0.0725209i | ||||
\(222\) | 10.7442 | 0.721101 | ||||||||
\(223\) | −6.14910 | − | 7.71073i | −0.411774 | − | 0.516349i | 0.532087 | − | 0.846689i | \(-0.321408\pi\) |
−0.943862 | + | 0.330341i | \(0.892836\pi\) | |||||||
\(224\) | −7.72300 | + | 16.0370i | −0.516014 | + | 1.07151i | ||||
\(225\) | −5.70694 | + | 7.15627i | −0.380463 | + | 0.477085i | ||||
\(226\) | 1.04071 | − | 2.16105i | 0.0692269 | − | 0.143751i | ||||
\(227\) | 19.7108 | − | 4.49886i | 1.30825 | − | 0.298600i | 0.489126 | − | 0.872213i | \(-0.337316\pi\) |
0.819126 | + | 0.573613i | \(0.194459\pi\) | |||||||
\(228\) | −12.8251 | + | 10.2277i | −0.849362 | + | 0.677344i | ||||
\(229\) | −0.432111 | − | 1.89320i | −0.0285547 | − | 0.125106i | 0.958642 | − | 0.284616i | \(-0.0918660\pi\) |
−0.987196 | + | 0.159509i | \(0.949009\pi\) | |||||||
\(230\) | 4.70580 | − | 2.26619i | 0.310291 | − | 0.149428i | ||||
\(231\) | 24.1218 | + | 19.2365i | 1.58710 | + | 1.26567i | ||||
\(232\) | 0.786223 | + | 0.626992i | 0.0516181 | + | 0.0411641i | ||||
\(233\) | −3.98187 | − | 0.908837i | −0.260861 | − | 0.0595399i | 0.0900900 | − | 0.995934i | \(-0.471285\pi\) |
−0.350951 | + | 0.936394i | \(0.614142\pi\) | |||||||
\(234\) | 1.19169 | − | 0.573889i | 0.0779034 | − | 0.0375163i | ||||
\(235\) | −1.28502 | + | 2.66837i | −0.0838254 | + | 0.174065i | ||||
\(236\) | 4.80613 | − | 21.0570i | 0.312853 | − | 1.37070i | ||||
\(237\) | 0.719675 | − | 3.15310i | 0.0467479 | − | 0.204816i | ||||
\(238\) | 17.9325 | − | 4.75679i | 1.16239 | − | 0.308337i | ||||
\(239\) | 14.8276 | − | 7.14058i | 0.959116 | − | 0.461886i | 0.112243 | − | 0.993681i | \(-0.464197\pi\) |
0.846873 | + | 0.531795i | \(0.178482\pi\) | |||||||
\(240\) | 0.581336 | − | 2.54700i | 0.0375251 | − | 0.164408i | ||||
\(241\) | 1.42451 | + | 1.13601i | 0.0917609 | + | 0.0731769i | 0.668296 | − | 0.743896i | \(-0.267024\pi\) |
−0.576535 | + | 0.817073i | \(0.695596\pi\) | |||||||
\(242\) | −37.8991 | + | 47.5239i | −2.43624 | + | 3.05495i | ||||
\(243\) | −7.40251 | − | 15.3715i | −0.474871 | − | 0.986081i | ||||
\(244\) | −20.1065 | + | 4.58917i | −1.28719 | + | 0.293792i | ||||
\(245\) | −0.573514 | + | 0.457362i | −0.0366405 | + | 0.0292198i | ||||
\(246\) | 11.2563 | + | 49.3171i | 0.717676 | + | 3.14434i | ||||
\(247\) | 1.04271 | + | 0.502142i | 0.0663460 | + | 0.0319505i | ||||
\(248\) | 0.729780 | + | 0.581980i | 0.0463411 | + | 0.0369558i | ||||
\(249\) | −9.58865 | + | 19.9110i | −0.607656 | + | 1.26181i | ||||
\(250\) | −5.31069 | + | 4.23514i | −0.335878 | + | 0.267853i | ||||
\(251\) | −13.1120 | −0.827620 | −0.413810 | − | 0.910363i | \(-0.635802\pi\) | ||||
−0.413810 | + | 0.910363i | \(0.635802\pi\) | |||||||
\(252\) | − | 9.07680i | − | 0.571785i | ||||||
\(253\) | −30.2141 | − | 37.8873i | −1.89954 | − | 2.38195i | ||||
\(254\) | 31.3660 | − | 15.1050i | 1.96807 | − | 0.947775i | ||||
\(255\) | −2.69752 | + | 1.41703i | −0.168925 | + | 0.0887377i | ||||
\(256\) | −2.69791 | − | 11.8203i | −0.168619 | − | 0.738770i | ||||
\(257\) | −19.9780 | −1.24619 | −0.623096 | − | 0.782146i | \(-0.714125\pi\) | ||||
−0.623096 | + | 0.782146i | \(0.714125\pi\) | |||||||
\(258\) | −25.5419 | + | 15.1582i | −1.59017 | + | 0.943708i | ||||
\(259\) | −5.20184 | −0.323227 | ||||||||
\(260\) | 0.248343 | − | 0.0566826i | 0.0154016 | − | 0.00351531i | ||||
\(261\) | 4.25387 | + | 0.970918i | 0.263308 | + | 0.0600983i | ||||
\(262\) | −4.80060 | − | 9.96854i | −0.296582 | − | 0.615858i | ||||
\(263\) | −2.16071 | − | 2.70944i | −0.133235 | − | 0.167071i | 0.710738 | − | 0.703456i | \(-0.248361\pi\) |
−0.843973 | + | 0.536385i | \(0.819790\pi\) | |||||||
\(264\) | 6.07216 | 0.373715 | ||||||||
\(265\) | − | 1.86860i | − | 0.114787i | ||||||
\(266\) | 11.8278 | − | 9.43234i | 0.725208 | − | 0.578334i | ||||
\(267\) | −12.6813 | + | 26.3329i | −0.776080 | + | 1.61155i | ||||
\(268\) | −4.55230 | + | 5.70841i | −0.278076 | + | 0.348696i | ||||
\(269\) | −3.23082 | + | 6.70887i | −0.196987 | + | 0.409047i | −0.975941 | − | 0.218033i | \(-0.930036\pi\) |
0.778955 | + | 0.627080i | \(0.215750\pi\) | |||||||
\(270\) | −0.380413 | − | 1.66670i | −0.0231512 | − | 0.101432i | ||||
\(271\) | 8.19996 | + | 10.2824i | 0.498112 | + | 0.624613i | 0.965802 | − | 0.259279i | \(-0.0834851\pi\) |
−0.467690 | + | 0.883893i | \(0.654914\pi\) | |||||||
\(272\) | −8.68466 | + | 11.7057i | −0.526585 | + | 0.709761i | ||||
\(273\) | −1.50128 | + | 0.722978i | −0.0908615 | + | 0.0437566i | ||||
\(274\) | 5.44084 | − | 6.82260i | 0.328693 | − | 0.412168i | ||||
\(275\) | 24.3572 | + | 19.4242i | 1.46879 | + | 1.17132i | ||||
\(276\) | −8.25469 | + | 36.1662i | −0.496874 | + | 2.17695i | ||||
\(277\) | −9.03670 | − | 18.7649i | −0.542963 | − | 1.12747i | −0.974294 | − | 0.225280i | \(-0.927670\pi\) |
0.431331 | − | 0.902194i | \(-0.358044\pi\) | |||||||
\(278\) | −19.8455 | + | 41.2097i | −1.19026 | + | 2.47159i | ||||
\(279\) | 3.94848 | + | 0.901215i | 0.236389 | + | 0.0539543i | ||||
\(280\) | 0.0705085 | − | 0.308918i | 0.00421369 | − | 0.0184614i | ||||
\(281\) | −7.17961 | − | 3.45752i | −0.428299 | − | 0.206258i | 0.207300 | − | 0.978278i | \(-0.433533\pi\) |
−0.635599 | + | 0.772019i | \(0.719247\pi\) | |||||||
\(282\) | −17.3850 | − | 36.1003i | −1.03526 | − | 2.14974i | ||||
\(283\) | −13.2707 | − | 3.02894i | −0.788859 | − | 0.180052i | −0.190933 | − | 0.981603i | \(-0.561151\pi\) |
−0.597926 | + | 0.801551i | \(0.704008\pi\) | |||||||
\(284\) | 8.18376 | + | 6.52633i | 0.485617 | + | 0.387266i | ||||
\(285\) | −1.54915 | + | 1.94257i | −0.0917636 | + | 0.115068i | ||||
\(286\) | −1.95330 | − | 4.05606i | −0.115501 | − | 0.239840i | ||||
\(287\) | −5.44980 | − | 23.8771i | −0.321691 | − | 1.40942i | ||||
\(288\) | 9.47693 | + | 11.8837i | 0.558434 | + | 0.700254i | ||||
\(289\) | 16.9586 | − | 1.18528i | 0.997566 | − | 0.0697225i | ||||
\(290\) | 1.44213 | + | 0.694493i | 0.0846848 | + | 0.0407821i | ||||
\(291\) | −17.5885 | + | 22.0553i | −1.03106 | + | 1.29291i | ||||
\(292\) | 7.78540 | − | 16.1666i | 0.455606 | − | 0.946076i | ||||
\(293\) | 3.86203 | + | 4.84284i | 0.225622 | + | 0.282921i | 0.881739 | − | 0.471738i | \(-0.156373\pi\) |
−0.656116 | + | 0.754660i | \(0.727802\pi\) | |||||||
\(294\) | − | 9.92421i | − | 0.578792i | ||||||
\(295\) | − | 3.27146i | − | 0.190472i | ||||||
\(296\) | −0.800419 | + | 0.638313i | −0.0465234 | + | 0.0371012i | ||||
\(297\) | −14.2906 | + | 6.88200i | −0.829225 | + | 0.399334i | ||||
\(298\) | 8.39257 | − | 36.7702i | 0.486168 | − | 2.13004i | ||||
\(299\) | 2.55158 | − | 0.582381i | 0.147561 | − | 0.0336799i | ||||
\(300\) | − | 23.8486i | − | 1.37690i | ||||||
\(301\) | 12.3663 | − | 7.33891i | 0.712779 | − | 0.423008i | ||||
\(302\) | 43.6114 | 2.50956 | ||||||||
\(303\) | −34.0565 | + | 7.77318i | −1.95650 | + | 0.446557i | ||||
\(304\) | −2.64471 | + | 11.5872i | −0.151685 | + | 0.664574i | ||||
\(305\) | −2.81443 | + | 1.35536i | −0.161154 | + | 0.0776075i | ||||
\(306\) | 2.98444 | − | 15.5592i | 0.170609 | − | 0.889460i | ||||
\(307\) | −12.0385 | −0.687074 | −0.343537 | − | 0.939139i | \(-0.611625\pi\) | ||||
−0.343537 | + | 0.939139i | \(0.611625\pi\) | |||||||
\(308\) | −30.8939 | −1.76034 | ||||||||
\(309\) | −22.2506 | + | 17.7443i | −1.26579 | + | 1.00944i | ||||
\(310\) | 1.33860 | + | 0.644635i | 0.0760273 | + | 0.0366128i | ||||
\(311\) | −12.1630 | − | 9.69970i | −0.689703 | − | 0.550020i | 0.214710 | − | 0.976678i | \(-0.431119\pi\) |
−0.904413 | + | 0.426658i | \(0.859691\pi\) | |||||||
\(312\) | −0.142289 | + | 0.295467i | −0.00805554 | + | 0.0167275i | ||||
\(313\) | 1.44994 | − | 0.330939i | 0.0819554 | − | 0.0187058i | −0.181347 | − | 0.983419i | \(-0.558046\pi\) |
0.263302 | + | 0.964713i | \(0.415188\pi\) | |||||||
\(314\) | 1.52223 | + | 1.90881i | 0.0859042 | + | 0.107720i | ||||
\(315\) | −0.305929 | − | 1.34036i | −0.0172371 | − | 0.0755208i | ||||
\(316\) | 1.40513 | + | 2.91778i | 0.0790446 | + | 0.164138i | ||||
\(317\) | −18.8770 | − | 15.0539i | −1.06024 | − | 0.845510i | −0.0718407 | − | 0.997416i | \(-0.522887\pi\) |
−0.988395 | + | 0.151906i | \(0.951459\pi\) | |||||||
\(318\) | 19.7649 | + | 15.7620i | 1.10836 | + | 0.883889i | ||||
\(319\) | 3.30463 | − | 14.4785i | 0.185024 | − | 0.810642i | ||||
\(320\) | 1.39231 | + | 2.89116i | 0.0778325 | + | 0.161621i | ||||
\(321\) | −8.06872 | − | 3.88569i | −0.450352 | − | 0.216878i | ||||
\(322\) | 7.61279 | − | 33.3538i | 0.424244 | − | 1.85873i | ||||
\(323\) | 12.2720 | − | 6.44658i | 0.682832 | − | 0.358697i | ||||
\(324\) | 22.1272 | + | 10.6559i | 1.22929 | + | 0.591995i | ||||
\(325\) | −1.51593 | + | 0.730034i | −0.0840887 | + | 0.0404950i | ||||
\(326\) | −21.2921 | − | 4.85978i | −1.17926 | − | 0.269158i | ||||
\(327\) | 15.0702 | − | 18.8975i | 0.833387 | − | 1.04503i | ||||
\(328\) | −3.76851 | − | 3.00529i | −0.208081 | − | 0.165939i | ||||
\(329\) | 8.41704 | + | 17.4782i | 0.464046 | + | 0.963602i | ||||
\(330\) | 9.42275 | − | 2.15068i | 0.518705 | − | 0.118391i | ||||
\(331\) | −18.9988 | − | 23.8238i | −1.04427 | − | 1.30947i | −0.949429 | − | 0.313981i | \(-0.898337\pi\) |
−0.0948405 | − | 0.995492i | \(-0.530234\pi\) | |||||||
\(332\) | −4.92415 | − | 21.5741i | −0.270248 | − | 1.18403i | ||||
\(333\) | −1.92733 | + | 4.00215i | −0.105617 | + | 0.219316i | ||||
\(334\) | −20.9516 | − | 16.7083i | −1.14642 | − | 0.914238i | ||||
\(335\) | −0.479835 | + | 0.996387i | −0.0262162 | + | 0.0544385i | ||||
\(336\) | −10.6693 | − | 13.3789i | −0.582057 | − | 0.729876i | ||||
\(337\) | 12.2115i | 0.665203i | 0.943068 | + | 0.332601i | \(0.107926\pi\) | ||||
−0.943068 | + | 0.332601i | \(0.892074\pi\) | |||||||
\(338\) | −26.4317 | −1.43769 | ||||||||
\(339\) | 1.60882 | + | 2.01740i | 0.0873792 | + | 0.109570i | ||||
\(340\) | 1.22713 | − | 2.79346i | 0.0665505 | − | 0.151497i | ||||
\(341\) | 3.06739 | − | 13.4391i | 0.166108 | − | 0.727768i | ||||
\(342\) | −2.87466 | − | 12.5947i | −0.155444 | − | 0.681044i | ||||
\(343\) | 20.1553i | 1.08829i | ||||||||
\(344\) | 1.00227 | − | 2.64671i | 0.0540389 | − | 0.142701i | ||||
\(345\) | 5.61884i | 0.302508i | ||||||||
\(346\) | −21.5725 | + | 4.92378i | −1.15974 | + | 0.264704i | ||||
\(347\) | 11.0305 | + | 2.51763i | 0.592147 | + | 0.135154i | 0.508085 | − | 0.861307i | \(-0.330354\pi\) |
0.0840617 | + | 0.996461i | \(0.473211\pi\) | |||||||
\(348\) | −10.2426 | + | 4.93258i | −0.549062 | + | 0.264414i | ||||
\(349\) | 15.0671 | + | 18.8935i | 0.806522 | + | 1.01135i | 0.999545 | + | 0.0301527i | \(0.00959935\pi\) |
−0.193023 | + | 0.981194i | \(0.561829\pi\) | |||||||
\(350\) | 21.9941i | 1.17563i | ||||||||
\(351\) | − | 0.856637i | − | 0.0457239i | ||||||
\(352\) | 40.4475 | − | 32.2558i | 2.15586 | − | 1.71924i | ||||
\(353\) | 7.59130 | + | 3.65578i | 0.404044 | + | 0.194577i | 0.624858 | − | 0.780739i | \(-0.285157\pi\) |
−0.220814 | + | 0.975316i | \(0.570871\pi\) | |||||||
\(354\) | 34.6035 | + | 27.5953i | 1.83915 | + | 1.46668i | ||||
\(355\) | 1.42845 | + | 0.687907i | 0.0758144 | + | 0.0365103i | ||||
\(356\) | −6.51233 | − | 28.5324i | −0.345153 | − | 1.51221i | ||||
\(357\) | −3.75975 | + | 19.6013i | −0.198987 | + | 1.03741i | ||||
\(358\) | 8.41018 | + | 36.8474i | 0.444492 | + | 1.94744i | ||||
\(359\) | −1.24250 | + | 0.598356i | −0.0655766 | + | 0.0315800i | −0.466385 | − | 0.884582i | \(-0.654444\pi\) |
0.400808 | + | 0.916162i | \(0.368729\pi\) | |||||||
\(360\) | −0.211548 | − | 0.168704i | −0.0111496 | − | 0.00889149i | ||||
\(361\) | −4.79866 | + | 6.01733i | −0.252561 | + | 0.316701i | ||||
\(362\) | 36.3474 | + | 8.29606i | 1.91038 | + | 0.436031i | ||||
\(363\) | −28.3724 | − | 58.9158i | −1.48916 | − | 3.09228i | ||||
\(364\) | 0.723939 | − | 1.50327i | 0.0379447 | − | 0.0787930i | ||||
\(365\) | 0.604777 | − | 2.64970i | 0.0316555 | − | 0.138692i | ||||
\(366\) | 9.40408 | − | 41.2019i | 0.491559 | − | 2.15366i | ||||
\(367\) | 1.65213 | − | 3.43069i | 0.0862407 | − | 0.179081i | −0.853388 | − | 0.521276i | \(-0.825456\pi\) |
0.939629 | + | 0.342195i | \(0.111170\pi\) | |||||||
\(368\) | 11.6617 | + | 24.2159i | 0.607911 | + | 1.26234i | ||||
\(369\) | −20.3896 | − | 4.65379i | −1.06144 | − | 0.242266i | ||||
\(370\) | −1.01600 | + | 1.27403i | −0.0528196 | + | 0.0662336i | ||||
\(371\) | −9.56928 | − | 7.63125i | −0.496812 | − | 0.396195i | ||||
\(372\) | −9.50729 | + | 4.57847i | −0.492930 | + | 0.237383i | ||||
\(373\) | −6.32366 | − | 27.7057i | −0.327426 | − | 1.43455i | −0.824017 | − | 0.566564i | \(-0.808272\pi\) |
0.496591 | − | 0.867985i | \(-0.334585\pi\) | |||||||
\(374\) | −52.9575 | − | 10.1579i | −2.73837 | − | 0.525251i | ||||
\(375\) | −1.62604 | − | 7.12416i | −0.0839685 | − | 0.367890i | ||||
\(376\) | 3.43987 | + | 1.65656i | 0.177398 | + | 0.0854304i | ||||
\(377\) | 0.627076 | + | 0.500077i | 0.0322961 | + | 0.0257553i | ||||
\(378\) | −10.0889 | − | 4.85855i | −0.518916 | − | 0.249897i | ||||
\(379\) | −6.41732 | + | 5.11764i | −0.329635 | + | 0.262875i | −0.774296 | − | 0.632824i | \(-0.781896\pi\) |
0.444660 | + | 0.895699i | \(0.353324\pi\) | |||||||
\(380\) | − | 2.48794i | − | 0.127629i | ||||||
\(381\) | 37.4517i | 1.91871i | ||||||||
\(382\) | −4.74969 | − | 5.95593i | −0.243015 | − | 0.304732i | ||||
\(383\) | −6.09032 | + | 2.93295i | −0.311201 | + | 0.149867i | −0.582965 | − | 0.812498i | \(-0.698107\pi\) |
0.271764 | + | 0.962364i | \(0.412393\pi\) | |||||||
\(384\) | −7.38936 | − | 1.68657i | −0.377087 | − | 0.0860676i | ||||
\(385\) | −4.56207 | + | 1.04126i | −0.232505 | + | 0.0530677i | ||||
\(386\) | − | 29.0880i | − | 1.48054i | ||||||
\(387\) | −1.06453 | − | 12.2334i | −0.0541131 | − | 0.621857i | ||||
\(388\) | − | 28.2473i | − | 1.43404i | ||||||
\(389\) | −2.39827 | − | 10.5075i | −0.121597 | − | 0.532751i | −0.998630 | − | 0.0523216i | \(-0.983338\pi\) |
0.877033 | − | 0.480430i | \(-0.159519\pi\) | |||||||
\(390\) | −0.116153 | + | 0.508901i | −0.00588165 | + | 0.0257692i | ||||
\(391\) | 12.6080 | − | 28.7012i | 0.637616 | − | 1.45148i | ||||
\(392\) | 0.589599 | + | 0.739334i | 0.0297793 | + | 0.0373420i | ||||
\(393\) | 11.9027 | 0.600411 | ||||||||
\(394\) | − | 43.3254i | − | 2.18270i | ||||||
\(395\) | 0.305836 | + | 0.383506i | 0.0153883 | + | 0.0192963i | ||||
\(396\) | −11.4465 | + | 23.7689i | −0.575207 | + | 1.19443i | ||||
\(397\) | −18.0655 | − | 14.4068i | −0.906683 | − | 0.723056i | 0.0546318 | − | 0.998507i | \(-0.482602\pi\) |
−0.961315 | + | 0.275451i | \(0.911173\pi\) | |||||||
\(398\) | 24.1351 | − | 50.1171i | 1.20979 | − | 2.51214i | ||||
\(399\) | 3.62146 | + | 15.8667i | 0.181300 | + | 0.794327i | ||||
\(400\) | −10.7734 | − | 13.5094i | −0.538670 | − | 0.675471i | ||||
\(401\) | −3.61459 | + | 0.825007i | −0.180504 | + | 0.0411989i | −0.311817 | − | 0.950142i | \(-0.600938\pi\) |
0.131313 | + | 0.991341i | \(0.458081\pi\) | |||||||
\(402\) | −6.49167 | − | 13.4801i | −0.323775 | − | 0.672326i | ||||
\(403\) | 0.582058 | + | 0.464176i | 0.0289944 | + | 0.0231222i | ||||
\(404\) | 21.8089 | − | 27.3475i | 1.08503 | − | 1.36059i | ||||
\(405\) | 3.62666 | + | 0.827761i | 0.180210 | + | 0.0411318i | ||||
\(406\) | 9.44613 | − | 4.54902i | 0.468803 | − | 0.225764i | ||||
\(407\) | 13.6218 | + | 6.55989i | 0.675205 | + | 0.325162i | ||||
\(408\) | 1.82673 | + | 3.47745i | 0.0904367 | + | 0.172159i | ||||
\(409\) | −4.37709 | + | 19.1773i | −0.216433 | + | 0.948257i | 0.743656 | + | 0.668563i | \(0.233090\pi\) |
−0.960089 | + | 0.279694i | \(0.909767\pi\) | |||||||
\(410\) | −6.91239 | − | 3.32883i | −0.341379 | − | 0.164399i | ||||
\(411\) | 4.07318 | + | 8.45804i | 0.200915 | + | 0.417204i | ||||
\(412\) | 6.34128 | − | 27.7829i | 0.312412 | − | 1.36877i | ||||
\(413\) | −16.7534 | − | 13.3604i | −0.824383 | − | 0.657423i | ||||
\(414\) | −22.8408 | − | 18.2150i | −1.12257 | − | 0.895216i | ||||
\(415\) | −1.45429 | − | 3.01986i | −0.0713882 | − | 0.148239i | ||||
\(416\) | 0.621734 | + | 2.72400i | 0.0304830 | + | 0.133555i | ||||
\(417\) | −30.6791 | − | 38.4703i | −1.50236 | − | 1.88390i | ||||
\(418\) | −42.8675 | + | 9.78424i | −2.09672 | + | 0.478563i | ||||
\(419\) | 6.13550 | − | 12.7405i | 0.299739 | − | 0.622414i | −0.695645 | − | 0.718385i | \(-0.744881\pi\) |
0.995384 | + | 0.0959713i | \(0.0305957\pi\) | |||||||
\(420\) | 2.80061 | + | 2.23341i | 0.136656 | + | 0.108979i | ||||
\(421\) | 29.5071 | + | 14.2099i | 1.43809 | + | 0.692546i | 0.980482 | − | 0.196610i | \(-0.0629932\pi\) |
0.457605 | + | 0.889156i | \(0.348708\pi\) | |||||||
\(422\) | −8.69725 | + | 6.93583i | −0.423375 | + | 0.337631i | ||||
\(423\) | 16.5658 | 0.805455 | ||||||||
\(424\) | −2.40887 | −0.116985 | ||||||||
\(425\) | −3.79645 | + | 19.7926i | −0.184155 | + | 0.960081i | ||||
\(426\) | −19.3255 | + | 9.30667i | −0.936324 | + | 0.450910i | ||||
\(427\) | −4.55303 | + | 19.9481i | −0.220337 | + | 0.965358i | ||||
\(428\) | 8.74268 | − | 1.99546i | 0.422593 | − | 0.0964541i | ||||
\(429\) | 4.84303 | 0.233824 | ||||||||
\(430\) | 0.617893 | − | 4.46214i | 0.0297974 | − | 0.215183i | ||||
\(431\) | 10.8868i | 0.524398i | 0.965014 | + | 0.262199i | \(0.0844477\pi\) | ||||
−0.965014 | + | 0.262199i | \(0.915552\pi\) | |||||||
\(432\) | 8.57676 | − | 1.95759i | 0.412650 | − | 0.0941846i | ||||
\(433\) | −2.86196 | + | 12.5391i | −0.137537 | + | 0.602590i | 0.858435 | + | 0.512923i | \(0.171437\pi\) |
−0.995972 | + | 0.0896668i | \(0.971420\pi\) | |||||||
\(434\) | 8.76798 | − | 4.22244i | 0.420877 | − | 0.202684i | ||||
\(435\) | −1.34627 | + | 1.07361i | −0.0645485 | + | 0.0514757i | ||||
\(436\) | 24.2029i | 1.15911i | ||||||||
\(437\) | − | 25.5622i | − | 1.22280i | ||||||
\(438\) | 22.9255 | + | 28.7477i | 1.09542 | + | 1.37362i | ||||
\(439\) | −7.65049 | + | 15.8864i | −0.365138 | + | 0.758217i | −0.999895 | − | 0.0144949i | \(-0.995386\pi\) |
0.634757 | + | 0.772712i | \(0.281100\pi\) | |||||||
\(440\) | −0.574204 | + | 0.720029i | −0.0273741 | + | 0.0343260i | ||||
\(441\) | 3.69672 | + | 1.78024i | 0.176034 | + | 0.0847736i | ||||
\(442\) | 1.73523 | − | 2.33884i | 0.0825365 | − | 0.111247i | ||||
\(443\) | 0.652135 | + | 0.817752i | 0.0309839 | + | 0.0388526i | 0.797082 | − | 0.603871i | \(-0.206376\pi\) |
−0.766098 | + | 0.642724i | \(0.777804\pi\) | |||||||
\(444\) | −2.57539 | − | 11.2835i | −0.122223 | − | 0.535493i | ||||
\(445\) | −1.92334 | − | 3.99385i | −0.0911750 | − | 0.189327i | ||||
\(446\) | −12.6174 | + | 15.8217i | −0.597452 | + | 0.749181i | ||||
\(447\) | 31.7220 | + | 25.2974i | 1.50040 | + | 1.19653i | ||||
\(448\) | 20.4920 | + | 4.67716i | 0.968156 | + | 0.220975i | ||||
\(449\) | 1.89193 | + | 3.92863i | 0.0892857 | + | 0.185404i | 0.940830 | − | 0.338879i | \(-0.110048\pi\) |
−0.851544 | + | 0.524283i | \(0.824333\pi\) | |||||||
\(450\) | 16.9216 | + | 8.14902i | 0.797693 | + | 0.384149i | ||||
\(451\) | −15.8397 | + | 69.3982i | −0.745861 | + | 3.26783i | ||||
\(452\) | −2.51900 | − | 0.574945i | −0.118484 | − | 0.0270431i | ||||
\(453\) | −20.3562 | + | 42.2701i | −0.956418 | + | 1.98602i | ||||
\(454\) | −17.9996 | − | 37.3766i | −0.844765 | − | 1.75417i | ||||
\(455\) | 0.0562362 | − | 0.246387i | 0.00263639 | − | 0.0115508i | ||||
\(456\) | 2.50422 | + | 1.99705i | 0.117271 | + | 0.0935206i | ||||
\(457\) | 23.6788 | − | 29.6922i | 1.10765 | − | 1.38894i | 0.194701 | − | 0.980863i | \(-0.437626\pi\) |
0.912945 | − | 0.408082i | \(-0.133802\pi\) | |||||||
\(458\) | −3.58999 | + | 1.72885i | −0.167749 | + | 0.0807837i | ||||
\(459\) | −8.24038 | − | 6.11369i | −0.384628 | − | 0.285363i | ||||
\(460\) | −3.50794 | − | 4.39882i | −0.163559 | − | 0.205096i | ||||
\(461\) | 8.90606 | + | 39.0200i | 0.414797 | + | 1.81734i | 0.560670 | + | 0.828039i | \(0.310544\pi\) |
−0.145874 | + | 0.989303i | \(0.546599\pi\) | |||||||
\(462\) | 27.4680 | − | 57.0380i | 1.27793 | − | 2.65365i | ||||
\(463\) | 1.83092 | − | 2.29591i | 0.0850903 | − | 0.106700i | −0.737464 | − | 0.675386i | \(-0.763977\pi\) |
0.822554 | + | 0.568687i | \(0.192548\pi\) | |||||||
\(464\) | −3.57384 | + | 7.42115i | −0.165911 | + | 0.344518i | ||||
\(465\) | −1.24962 | + | 0.996536i | −0.0579496 | + | 0.0462133i | ||||
\(466\) | 8.38057i | 0.388222i | ||||||||
\(467\) | −9.57278 | −0.442975 | −0.221488 | − | 0.975163i | \(-0.571091\pi\) | ||||
−0.221488 | + | 0.975163i | \(0.571091\pi\) | |||||||
\(468\) | −0.888349 | − | 1.11395i | −0.0410640 | − | 0.0514926i | ||||
\(469\) | 3.14298 | + | 6.52646i | 0.145129 | + | 0.301364i | ||||
\(470\) | 5.92471 | + | 1.35228i | 0.273287 | + | 0.0623759i | ||||
\(471\) | −2.56062 | + | 0.584445i | −0.117987 | + | 0.0269298i | ||||
\(472\) | −4.21733 | −0.194119 | ||||||||
\(473\) | −41.6377 | + | 3.62325i | −1.91450 | + | 0.166597i | ||||
\(474\) | −6.63627 | −0.304814 | ||||||||
\(475\) | 3.65681 | + | 16.0215i | 0.167786 | + | 0.735117i | ||||
\(476\) | −9.29404 | − | 17.6925i | −0.425992 | − | 0.810937i | ||||
\(477\) | −9.41677 | + | 4.53488i | −0.431164 | + | 0.207638i | ||||
\(478\) | −21.0547 | − | 26.4017i | −0.963017 | − | 1.20759i | ||||
\(479\) | 33.5306i | 1.53205i | 0.642810 | + | 0.766026i | \(0.277768\pi\) | ||||
−0.642810 | + | 0.766026i | \(0.722232\pi\) | |||||||
\(480\) | −5.99852 | −0.273794 | ||||||||
\(481\) | −0.638399 | + | 0.509106i | −0.0291085 | + | 0.0232132i | ||||
\(482\) | 1.62213 | − | 3.36838i | 0.0738859 | − | 0.153426i | ||||
\(483\) | 28.7746 | + | 22.9470i | 1.30929 | + | 1.04412i | ||||
\(484\) | 58.9941 | + | 28.4101i | 2.68155 | + | 1.29137i | ||||
\(485\) | −0.952062 | − | 4.17125i | −0.0432309 | − | 0.189407i | ||||
\(486\) | −27.3702 | + | 21.8270i | −1.24154 | + | 0.990092i | ||||
\(487\) | 3.23348 | − | 0.738020i | 0.146523 | − | 0.0334429i | −0.148630 | − | 0.988893i | \(-0.547486\pi\) |
0.295153 | + | 0.955450i | \(0.404629\pi\) | |||||||
\(488\) | 1.74723 | + | 3.62816i | 0.0790934 | + | 0.164239i | ||||
\(489\) | 14.6487 | − | 18.3688i | 0.662435 | − | 0.830667i | ||||
\(490\) | 1.17680 | + | 0.938466i | 0.0531624 | + | 0.0423956i | ||||
\(491\) | −2.54901 | + | 11.1679i | −0.115035 | + | 0.504003i | 0.884278 | + | 0.466960i | \(0.154651\pi\) |
−0.999314 | + | 0.0370425i | \(0.988206\pi\) | |||||||
\(492\) | 49.0947 | − | 23.6428i | 2.21336 | − | 1.06590i | ||||
\(493\) | 9.28582 | − | 2.46316i | 0.418212 | − | 0.110935i | ||||
\(494\) | 0.528424 | − | 2.31518i | 0.0237749 | − | 0.104165i | ||||
\(495\) | −0.889173 | + | 3.89572i | −0.0399654 | + | 0.175100i | ||||
\(496\) | −3.31727 | + | 6.88838i | −0.148950 | + | 0.309298i | ||||
\(497\) | 9.35654 | − | 4.50587i | 0.419698 | − | 0.202116i | ||||
\(498\) | 44.2094 | + | 10.0905i | 1.98107 | + | 0.452167i | ||||
\(499\) | −7.43590 | − | 5.92993i | −0.332877 | − | 0.265460i | 0.442760 | − | 0.896640i | \(-0.353999\pi\) |
−0.775636 | + | 0.631180i | \(0.782571\pi\) | |||||||
\(500\) | 5.72072 | + | 4.56213i | 0.255839 | + | 0.204024i | ||||
\(501\) | 25.9738 | − | 12.5083i | 1.16042 | − | 0.558831i | ||||
\(502\) | 5.98683 | + | 26.2300i | 0.267205 | + | 1.17070i | ||||
\(503\) | 13.9322 | − | 11.1106i | 0.621206 | − | 0.495395i | −0.261573 | − | 0.965184i | \(-0.584241\pi\) |
0.882779 | + | 0.469789i | \(0.155670\pi\) | |||||||
\(504\) | −1.72790 | + | 0.394382i | −0.0769667 | + | 0.0175672i | ||||
\(505\) | 2.29876 | − | 4.77343i | 0.102294 | − | 0.212415i | ||||
\(506\) | −61.9966 | + | 77.7413i | −2.75609 | + | 3.45602i | ||||
\(507\) | 12.3373 | − | 25.6187i | 0.547920 | − | 1.13777i | ||||
\(508\) | −23.3818 | − | 29.3198i | −1.03740 | − | 1.30086i | ||||
\(509\) | −16.3148 | −0.723141 | −0.361571 | − | 0.932345i | \(-0.617759\pi\) | ||||
−0.361571 | + | 0.932345i | \(0.617759\pi\) | |||||||
\(510\) | 4.06638 | + | 4.74928i | 0.180062 | + | 0.210302i | ||||
\(511\) | −11.0995 | − | 13.9183i | −0.491013 | − | 0.615710i | ||||
\(512\) | −28.6015 | + | 13.7737i | −1.26402 | + | 0.608719i | ||||
\(513\) | −8.15700 | − | 1.86178i | −0.360141 | − | 0.0821997i | ||||
\(514\) | 9.12180 | + | 39.9652i | 0.402345 | + | 1.76279i | ||||
\(515\) | − | 4.31641i | − | 0.190204i | ||||||
\(516\) | 22.0416 | + | 23.1907i | 0.970327 | + | 1.02091i | ||||
\(517\) | − | 56.3835i | − | 2.47974i | ||||||
\(518\) | 2.37513 | + | 10.4061i | 0.104357 | + | 0.457218i | ||||
\(519\) | 5.29690 | − | 23.2072i | 0.232508 | − | 1.01868i | ||||
\(520\) | −0.0215807 | − | 0.0448128i | −0.000946376 | − | 0.00196517i | ||||
\(521\) | −13.6493 | + | 10.8850i | −0.597989 | + | 0.476880i | −0.875090 | − | 0.483961i | \(-0.839198\pi\) |
0.277101 | + | 0.960841i | \(0.410626\pi\) | |||||||
\(522\) | − | 8.95303i | − | 0.391863i | ||||||
\(523\) | 7.78404 | 0.340372 | 0.170186 | − | 0.985412i | \(-0.445563\pi\) | ||||
0.170186 | + | 0.985412i | \(0.445563\pi\) | |||||||
\(524\) | −9.31826 | + | 7.43106i | −0.407070 | + | 0.324628i | ||||
\(525\) | −21.3176 | − | 10.2660i | −0.930378 | − | 0.448046i | ||||
\(526\) | −4.43358 | + | 5.55953i | −0.193313 | + | 0.242407i | ||||
\(527\) | 8.61919 | − | 2.28633i | 0.375458 | − | 0.0995940i | ||||
\(528\) | 11.0673 | + | 48.4891i | 0.481644 | + | 2.11022i | ||||
\(529\) | −21.7018 | − | 27.2132i | −0.943557 | − | 1.18318i | ||||
\(530\) | −3.73807 | + | 0.853191i | −0.162371 | + | 0.0370602i | ||||
\(531\) | −16.4864 | + | 7.93945i | −0.715450 | + | 0.344543i | ||||
\(532\) | −12.7410 | − | 10.1606i | −0.552392 | − | 0.440518i | ||||
\(533\) | −3.00569 | − | 2.39696i | −0.130191 | − | 0.103824i | ||||
\(534\) | 58.4682 | + | 13.3450i | 2.53017 | + | 0.577494i | ||||
\(535\) | 1.22377 | − | 0.589335i | 0.0529080 | − | 0.0254792i | ||||
\(536\) | 1.28447 | + | 0.618569i | 0.0554807 | + | 0.0267181i | ||||
\(537\) | −39.6396 | − | 9.04749i | −1.71058 | − | 0.390428i | ||||
\(538\) | 14.8960 | + | 3.39992i | 0.642213 | + | 0.146581i | ||||
\(539\) | 6.05926 | − | 12.5822i | 0.260991 | − | 0.541953i | ||||
\(540\) | −1.65918 | + | 0.799019i | −0.0713998 | + | 0.0343843i | ||||
\(541\) | −25.5754 | − | 5.83741i | −1.09957 | − | 0.250970i | −0.366022 | − | 0.930606i | \(-0.619281\pi\) |
−0.733549 | + | 0.679636i | \(0.762138\pi\) | |||||||
\(542\) | 16.8256 | − | 21.0986i | 0.722721 | − | 0.906263i | ||||
\(543\) | −25.0065 | + | 31.3572i | −1.07313 | + | 1.34567i | ||||
\(544\) | 30.6406 | + | 13.4600i | 1.31371 | + | 0.577094i | ||||
\(545\) | 0.815747 | + | 3.57402i | 0.0349428 | + | 0.153094i | ||||
\(546\) | 2.13176 | + | 2.67315i | 0.0912311 | + | 0.114400i | ||||
\(547\) | 39.9295 | − | 9.11364i | 1.70726 | − | 0.389671i | 0.746138 | − | 0.665792i | \(-0.231906\pi\) |
0.961123 | + | 0.276121i | \(0.0890489\pi\) | |||||||
\(548\) | −8.46928 | − | 4.07859i | −0.361790 | − | 0.174229i | ||||
\(549\) | 13.6606 | + | 10.8939i | 0.583019 | + | 0.464942i | ||||
\(550\) | 27.7361 | − | 57.5946i | 1.18267 | − | 2.45584i | ||||
\(551\) | 6.12466 | − | 4.88425i | 0.260919 | − | 0.208076i | ||||
\(552\) | 7.24341 | 0.308300 | ||||||||
\(553\) | 3.21298 | 0.136630 | ||||||||
\(554\) | −33.4124 | + | 26.6455i | −1.41956 | + | 1.13206i | ||||
\(555\) | −0.760611 | − | 1.57943i | −0.0322861 | − | 0.0670429i | ||||
\(556\) | 48.0355 | + | 10.9638i | 2.03716 | + | 0.464968i | ||||
\(557\) | −3.98814 | − | 17.4732i | −0.168983 | − | 0.740363i | −0.986406 | − | 0.164325i | \(-0.947455\pi\) |
0.817423 | − | 0.576038i | \(-0.195402\pi\) | |||||||
\(558\) | − | 8.31029i | − | 0.351802i | ||||||
\(559\) | 0.799393 | − | 2.11096i | 0.0338107 | − | 0.0892842i | ||||
\(560\) | 2.59537 | 0.109674 | ||||||||
\(561\) | 34.5640 | − | 46.5874i | 1.45929 | − | 1.96692i | ||||
\(562\) | −3.63848 | + | 15.9412i | −0.153480 | + | 0.672440i | ||||
\(563\) | 23.5981 | − | 11.3643i | 0.994543 | − | 0.478947i | 0.135460 | − | 0.990783i | \(-0.456749\pi\) |
0.859083 | + | 0.511836i | \(0.171034\pi\) | |||||||
\(564\) | −33.7454 | + | 26.9110i | −1.42094 | + | 1.13316i | ||||
\(565\) | −0.391356 | −0.0164645 | ||||||||
\(566\) | 27.9305i | 1.17401i | ||||||||
\(567\) | 19.0501 | − | 15.1919i | 0.800028 | − | 0.638001i | ||||
\(568\) | 0.886801 | − | 1.84146i | 0.0372093 | − | 0.0772660i | ||||
\(569\) | −5.53343 | + | 6.93870i | −0.231973 | + | 0.290885i | −0.884171 | − | 0.467164i | \(-0.845276\pi\) |
0.652198 | + | 0.758049i | \(0.273847\pi\) | |||||||
\(570\) | 4.59337 | + | 2.21205i | 0.192395 | + | 0.0926527i | ||||
\(571\) | 18.4174 | − | 4.20364i | 0.770743 | − | 0.175917i | 0.180973 | − | 0.983488i | \(-0.442075\pi\) |
0.589770 | + | 0.807571i | \(0.299218\pi\) | |||||||
\(572\) | −3.79147 | + | 3.02360i | −0.158529 | + | 0.126423i | ||||
\(573\) | 7.98972 | − | 1.82360i | 0.333775 | − | 0.0761821i | ||||
\(574\) | −45.2770 | + | 21.8043i | −1.88983 | + | 0.910092i | ||||
\(575\) | 29.0554 | + | 23.1709i | 1.21169 | + | 0.966294i | ||||
\(576\) | 11.1910 | − | 14.0330i | 0.466290 | − | 0.584709i | ||||
\(577\) | −1.47345 | + | 6.45560i | −0.0613405 | + | 0.268750i | −0.996293 | − | 0.0860220i | \(-0.972584\pi\) |
0.934953 | + | 0.354772i | \(0.115442\pi\) | |||||||
\(578\) | −10.1143 | − | 33.3839i | −0.420700 | − | 1.38859i | ||||
\(579\) | 28.1933 | + | 13.5772i | 1.17167 | + | 0.564249i | ||||
\(580\) | 0.383677 | − | 1.68100i | 0.0159313 | − | 0.0697996i | ||||
\(581\) | −21.4042 | − | 4.88537i | −0.887996 | − | 0.202679i | ||||
\(582\) | 52.1517 | + | 25.1150i | 2.16176 | + | 1.04105i | ||||
\(583\) | 15.4350 | + | 32.0510i | 0.639251 | + | 1.32742i | ||||
\(584\) | −3.41581 | − | 0.779636i | −0.141347 | − | 0.0322616i | ||||
\(585\) | −0.168727 | − | 0.134555i | −0.00697600 | − | 0.00556317i | ||||
\(586\) | 7.92454 | − | 9.93706i | 0.327360 | − | 0.410496i | ||||
\(587\) | 21.5635 | − | 10.3844i | 0.890021 | − | 0.428611i | 0.0677464 | − | 0.997703i | \(-0.478419\pi\) |
0.822274 | + | 0.569091i | \(0.192705\pi\) | |||||||
\(588\) | −10.4224 | + | 2.37885i | −0.429813 | + | 0.0981020i | ||||
\(589\) | 5.68497 | − | 4.53361i | 0.234245 | − | 0.186804i | ||||
\(590\) | −6.54444 | + | 1.49373i | −0.269430 | + | 0.0614957i | ||||
\(591\) | 41.9929 | + | 20.2227i | 1.72736 | + | 0.831851i | ||||
\(592\) | −6.55611 | − | 5.22832i | −0.269455 | − | 0.214883i | ||||
\(593\) | 0.476611 | + | 0.229524i | 0.0195721 | + | 0.00942540i | 0.443644 | − | 0.896203i | \(-0.353685\pi\) |
−0.424072 | + | 0.905628i | \(0.639400\pi\) | |||||||
\(594\) | 20.2922 | + | 25.4456i | 0.832598 | + | 1.04405i | ||||
\(595\) | −1.96876 | − | 2.29939i | −0.0807112 | − | 0.0942658i | ||||
\(596\) | −40.6279 | −1.66418 | ||||||||
\(597\) | 37.3103 | + | 46.7856i | 1.52701 | + | 1.91481i | ||||
\(598\) | −2.33006 | − | 4.83843i | −0.0952834 | − | 0.197858i | ||||
\(599\) | 1.50501 | − | 6.59387i | 0.0614929 | − | 0.269418i | −0.934830 | − | 0.355096i | \(-0.884448\pi\) |
0.996323 | + | 0.0856775i | \(0.0273055\pi\) | |||||||
\(600\) | −4.53993 | + | 1.03621i | −0.185342 | + | 0.0423030i | ||||
\(601\) | 6.23297i | 0.254248i | 0.991887 | + | 0.127124i | \(0.0405747\pi\) | ||||
−0.991887 | + | 0.127124i | \(0.959425\pi\) | |||||||
\(602\) | −20.3276 | − | 21.3874i | −0.828491 | − | 0.871684i | ||||
\(603\) | 6.18577 | 0.251904 | ||||||||
\(604\) | −10.4537 | − | 45.8008i | −0.425356 | − | 1.86361i | ||||
\(605\) | 9.66915 | + | 2.20692i | 0.393107 | + | 0.0897241i | ||||
\(606\) | 31.0999 | + | 64.5797i | 1.26335 | + | 2.62337i | ||||
\(607\) | −10.2082 | + | 8.14080i | −0.414340 | + | 0.330425i | −0.808372 | − | 0.588672i | \(-0.799651\pi\) |
0.394033 | + | 0.919096i | \(0.371080\pi\) | |||||||
\(608\) | 27.2895 | 1.10674 | ||||||||
\(609\) | 11.2789i | 0.457044i | ||||||||
\(610\) | 3.99639 | + | 5.01132i | 0.161809 | + | 0.202902i | ||||
\(611\) | 2.74358 | + | 1.32124i | 0.110993 | + | 0.0534515i | ||||
\(612\) | −17.0557 | + | 0.595306i | −0.689434 | + | 0.0240638i | ||||
\(613\) | 13.3679 | + | 6.43764i | 0.539924 | + | 0.260014i | 0.683911 | − | 0.729566i | \(-0.260278\pi\) |
−0.143986 | + | 0.989580i | \(0.545992\pi\) | |||||||
\(614\) | 5.49670 | + | 24.0826i | 0.221829 | + | 0.971894i | ||||
\(615\) | 6.45290 | − | 5.14601i | 0.260206 | − | 0.207507i | ||||
\(616\) | 1.34232 | + | 5.88110i | 0.0540837 | + | 0.236956i | ||||
\(617\) | −7.91155 | − | 16.4285i | −0.318507 | − | 0.661387i | 0.678832 | − | 0.734294i | \(-0.262487\pi\) |
−0.997339 | + | 0.0729071i | \(0.976772\pi\) | |||||||
\(618\) | 45.6563 | + | 36.4097i | 1.83656 | + | 1.46461i | ||||
\(619\) | 16.3012 | + | 12.9997i | 0.655199 | + | 0.522504i | 0.893715 | − | 0.448635i | \(-0.148090\pi\) |
−0.238516 | + | 0.971138i | \(0.576661\pi\) | |||||||
\(620\) | 0.356132 | − | 1.56032i | 0.0143026 | − | 0.0626639i | ||||
\(621\) | −17.0471 | + | 8.20945i | −0.684077 | + | 0.329434i | ||||
\(622\) | −13.8503 | + | 28.7605i | −0.555348 | + | 1.15319i | ||||
\(623\) | −28.3077 | − | 6.46104i | −1.13412 | − | 0.258856i | ||||
\(624\) | −2.61879 | − | 0.597721i | −0.104835 | − | 0.0239280i | ||||
\(625\) | −21.0208 | − | 10.1231i | −0.840830 | − | 0.404923i | ||||
\(626\) | −1.32406 | − | 2.74945i | −0.0529202 | − | 0.109890i | ||||
\(627\) | 10.5257 | − | 46.1160i | 0.420355 | − | 1.84170i | ||||
\(628\) | 1.63975 | − | 2.05619i | 0.0654333 | − | 0.0820508i | ||||
\(629\) | 0.341165 | + | 9.77447i | 0.0136031 | + | 0.389734i | ||||
\(630\) | −2.54166 | + | 1.22400i | −0.101262 | + | 0.0487653i | ||||
\(631\) | 3.79045 | + | 16.6070i | 0.150895 | + | 0.661115i | 0.992626 | + | 0.121218i | \(0.0386799\pi\) |
−0.841731 | + | 0.539898i | \(0.818463\pi\) | |||||||
\(632\) | 0.494389 | − | 0.394262i | 0.0196657 | − | 0.0156829i | ||||
\(633\) | −2.66295 | − | 11.6671i | −0.105843 | − | 0.463727i | ||||
\(634\) | −21.4956 | + | 44.6362i | −0.853701 | + | 1.77273i | ||||
\(635\) | −4.44098 | − | 3.54156i | −0.176235 | − | 0.140543i | ||||
\(636\) | 11.8156 | − | 24.5353i | 0.468518 | − | 0.972888i | ||||
\(637\) | 0.470253 | + | 0.589678i | 0.0186321 | + | 0.0233639i | ||||
\(638\) | −30.4726 | −1.20642 | ||||||||
\(639\) | − | 8.86812i | − | 0.350817i | ||||||
\(640\) | 0.898754 | − | 0.716733i | 0.0355264 | − | 0.0283313i | ||||
\(641\) | −8.98069 | − | 18.6486i | −0.354716 | − | 0.736575i | 0.644901 | − | 0.764266i | \(-0.276899\pi\) |
−0.999617 | + | 0.0276912i | \(0.991184\pi\) | |||||||
\(642\) | −4.08907 | + | 17.9154i | −0.161383 | + | 0.707063i | ||||
\(643\) | −29.4293 | + | 6.71704i | −1.16058 | + | 0.264894i | −0.759099 | − | 0.650975i | \(-0.774360\pi\) |
−0.401478 | + | 0.915869i | \(0.631503\pi\) | |||||||
\(644\) | −36.8530 | −1.45221 | ||||||||
\(645\) | 4.03649 | + | 2.68165i | 0.158937 | + | 0.105590i | ||||
\(646\) | −18.4995 | − | 21.6062i | −0.727852 | − | 0.850086i | ||||
\(647\) | −8.25475 | − | 36.1664i | −0.324528 | − | 1.42185i | −0.829400 | − | 0.558655i | \(-0.811317\pi\) |
0.504872 | − | 0.863194i | \(-0.331540\pi\) | |||||||
\(648\) | 1.06709 | − | 4.67523i | 0.0419193 | − | 0.183660i | ||||
\(649\) | 27.0228 | + | 56.1134i | 1.06074 | + | 2.20264i | ||||
\(650\) | 2.15257 | + | 2.69924i | 0.0844307 | + | 0.105873i | ||||
\(651\) | 10.4692i | 0.410320i | ||||||||
\(652\) | 23.5258i | 0.921343i | ||||||||
\(653\) | 6.87582 | − | 5.48328i | 0.269071 | − | 0.214577i | −0.479654 | − | 0.877458i | \(-0.659238\pi\) |
0.748725 | + | 0.662881i | \(0.230666\pi\) | |||||||
\(654\) | −44.6847 | − | 21.5190i | −1.74731 | − | 0.841461i | ||||
\(655\) | −1.12556 | + | 1.41140i | −0.0439792 | + | 0.0551481i | ||||
\(656\) | 17.1301 | − | 35.5709i | 0.668816 | − | 1.38881i | ||||
\(657\) | −14.8208 | + | 3.38276i | −0.578215 | + | 0.131974i | ||||
\(658\) | 31.1213 | − | 24.8184i | 1.21323 | − | 0.967521i | ||||
\(659\) | −3.05784 | − | 13.3973i | −0.119117 | − | 0.521884i | −0.998916 | − | 0.0465398i | \(-0.985181\pi\) |
0.879800 | − | 0.475344i | \(-0.157677\pi\) | |||||||
\(660\) | −4.51729 | − | 9.38025i | −0.175835 | − | 0.365126i | ||||
\(661\) | −2.95752 | + | 3.70861i | −0.115034 | + | 0.144248i | −0.836015 | − | 0.548707i | \(-0.815120\pi\) |
0.720981 | + | 0.692955i | \(0.243692\pi\) | |||||||
\(662\) | −38.9839 | + | 48.8842i | −1.51515 | + | 1.89994i | ||||
\(663\) | 1.45697 | + | 2.77354i | 0.0565838 | + | 0.107716i | ||||
\(664\) | −3.89299 | + | 1.87477i | −0.151077 | + | 0.0727551i | ||||
\(665\) | −2.22391 | − | 1.07098i | −0.0862394 | − | 0.0415307i | ||||
\(666\) | 8.88616 | + | 2.02821i | 0.344332 | + | 0.0785915i | ||||
\(667\) | 3.94205 | − | 17.2713i | 0.152637 | − | 0.668746i | ||||
\(668\) | −12.5250 | + | 26.0083i | −0.484605 | + | 1.00629i | ||||
\(669\) | −9.44577 | − | 19.6143i | −0.365194 | − | 0.758334i | ||||
\(670\) | 2.21233 | + | 0.504949i | 0.0854696 | + | 0.0195079i | ||||
\(671\) | 37.0788 | − | 46.4953i | 1.43141 | − | 1.79493i | ||||
\(672\) | −24.4976 | + | 30.7190i | −0.945015 | + | 1.18501i | ||||
\(673\) | 3.21871 | + | 6.68373i | 0.124072 | + | 0.257639i | 0.953748 | − | 0.300607i | \(-0.0971891\pi\) |
−0.829676 | + | 0.558245i | \(0.811475\pi\) | |||||||
\(674\) | 24.4287 | − | 5.57568i | 0.940957 | − | 0.214767i | ||||
\(675\) | 9.51015 | − | 7.58409i | 0.366046 | − | 0.291912i | ||||
\(676\) | 6.33572 | + | 27.7586i | 0.243681 | + | 1.06764i | ||||
\(677\) | 3.06711 | − | 6.36892i | 0.117879 | − | 0.244777i | −0.833678 | − | 0.552251i | \(-0.813769\pi\) |
0.951557 | + | 0.307473i | \(0.0994834\pi\) | |||||||
\(678\) | 3.30116 | − | 4.13952i | 0.126780 | − | 0.158977i | ||||
\(679\) | −25.2495 | − | 12.1595i | −0.968988 | − | 0.466640i | ||||
\(680\) | −0.585093 | − | 0.112228i | −0.0224373 | − | 0.00430374i | ||||
\(681\) | 44.6286 | 1.71017 | ||||||||
\(682\) | −28.2850 | −1.08309 | ||||||||
\(683\) | 2.65932 | − | 2.12073i | 0.101756 | − | 0.0811476i | −0.571290 | − | 0.820748i | \(-0.693557\pi\) |
0.673046 | + | 0.739600i | \(0.264986\pi\) | |||||||
\(684\) | −12.5379 | + | 6.03795i | −0.479400 | + | 0.230867i | ||||
\(685\) | −1.38812 | − | 0.316829i | −0.0530372 | − | 0.0121054i | ||||
\(686\) | 40.3201 | − | 9.20279i | 1.53943 | − | 0.351364i | ||||
\(687\) | − | 4.28653i | − | 0.163541i | ||||||
\(688\) | 22.9620 | + | 3.17966i | 0.875419 | + | 0.121223i | ||||
\(689\) | −1.92127 | −0.0731945 | ||||||||
\(690\) | 11.2403 | − | 2.56552i | 0.427910 | − | 0.0976677i | ||||
\(691\) | 1.24175 | + | 0.283422i | 0.0472385 | + | 0.0107819i | 0.246075 | − | 0.969251i | \(-0.420859\pi\) |
−0.198836 | + | 0.980033i | \(0.563716\pi\) | |||||||
\(692\) | 10.3419 | + | 21.4752i | 0.393141 | + | 0.816365i | ||||
\(693\) | 16.3190 | + | 20.4634i | 0.619908 | + | 0.777341i | ||||
\(694\) | − | 23.2156i | − | 0.881252i | ||||||
\(695\) | 7.46288 | 0.283083 | ||||||||
\(696\) | 1.38402 | + | 1.73551i | 0.0524613 | + | 0.0657844i | ||||
\(697\) | −44.5086 | + | 11.8064i | −1.68588 | + | 0.447198i | ||||
\(698\) | 30.9163 | − | 38.7678i | 1.17020 | − | 1.46738i | ||||
\(699\) | −8.12281 | − | 3.91174i | −0.307233 | − | 0.147956i | ||||
\(700\) | 23.0982 | − | 5.27202i | 0.873031 | − | 0.199264i | ||||
\(701\) | −19.8282 | − | 24.8637i | −0.748899 | − | 0.939090i | 0.250681 | − | 0.968070i | \(-0.419345\pi\) |
−0.999580 | + | 0.0289802i | \(0.990774\pi\) | |||||||
\(702\) | −1.71367 | + | 0.391134i | −0.0646784 | + | 0.0147624i | ||||
\(703\) | 3.46030 | + | 7.18539i | 0.130508 | + | 0.271002i | ||||
\(704\) | −47.7629 | − | 38.0897i | −1.80013 | − | 1.43556i | ||||
\(705\) | −4.07612 | + | 5.11129i | −0.153516 | + | 0.192503i | ||||
\(706\) | 3.84712 | − | 16.8553i | 0.144788 | − | 0.634359i | ||||
\(707\) | −15.0572 | − | 31.2666i | −0.566284 | − | 1.17590i | ||||
\(708\) | 20.6861 | − | 42.9552i | 0.777433 | − | 1.61436i | ||||
\(709\) | 9.21098 | + | 2.10235i | 0.345926 | + | 0.0789553i | 0.391954 | − | 0.919985i | \(-0.371799\pi\) |
−0.0460282 | + | 0.998940i | \(0.514656\pi\) | |||||||
\(710\) | 0.723912 | − | 3.17166i | 0.0271679 | − | 0.119030i | ||||
\(711\) | 1.19044 | − | 2.47197i | 0.0446450 | − | 0.0927063i | ||||
\(712\) | −5.14859 | + | 2.47943i | −0.192952 | + | 0.0929206i | ||||
\(713\) | 3.65905 | − | 16.0313i | 0.137033 | − | 0.600379i | ||||
\(714\) | 40.9283 | − | 1.42855i | 1.53170 | − | 0.0534622i | ||||
\(715\) | −0.457974 | + | 0.574281i | −0.0171272 | + | 0.0214769i | ||||
\(716\) | 36.6812 | − | 17.6647i | 1.37084 | − | 0.660163i | ||||
\(717\) | 35.4172 | − | 8.08375i | 1.32268 | − | 0.301893i | ||||
\(718\) | 1.76431 | + | 2.21237i | 0.0658433 | + | 0.0825649i | ||||
\(719\) | 19.5893 | − | 4.47114i | 0.730559 | − | 0.166745i | 0.158968 | − | 0.987284i | \(-0.449183\pi\) |
0.571592 | + | 0.820538i | \(0.306326\pi\) | |||||||
\(720\) | 0.961609 | − | 1.99680i | 0.0358371 | − | 0.0744164i | ||||
\(721\) | −22.1047 | − | 17.6279i | −0.823223 | − | 0.656498i | ||||
\(722\) | 14.2285 | + | 6.85208i | 0.529529 | + | 0.255008i | ||||
\(723\) | 2.50763 | + | 3.14447i | 0.0932598 | + | 0.116944i | ||||
\(724\) | − | 40.1607i | − | 1.49256i | ||||||
\(725\) | 11.3890i | 0.422976i | ||||||||
\(726\) | −104.904 | + | 83.6585i | −3.89337 | + | 3.10486i | ||||
\(727\) | −12.5245 | + | 6.03149i | −0.464508 | + | 0.223695i | −0.651474 | − | 0.758671i | \(-0.725849\pi\) |
0.186966 | + | 0.982366i | \(0.440135\pi\) | |||||||
\(728\) | −0.317624 | − | 0.0724957i | −0.0117719 | − | 0.00268687i | ||||
\(729\) | −0.962879 | − | 4.21865i | −0.0356622 | − | 0.156246i | ||||
\(730\) | −5.57677 | −0.206406 | ||||||||
\(731\) | −14.6012 | − | 22.7554i | −0.540043 | − | 0.841637i | ||||
\(732\) | −45.5245 | −1.68263 | ||||||||
\(733\) | −1.57644 | − | 6.90685i | −0.0582272 | − | 0.255110i | 0.937434 | − | 0.348163i | \(-0.113195\pi\) |
−0.995661 | + | 0.0930531i | \(0.970337\pi\) | |||||||
\(734\) | −7.61733 | − | 1.73861i | −0.281161 | − | 0.0641731i | ||||
\(735\) | −1.45889 | + | 0.702564i | −0.0538119 | + | 0.0259145i | ||||
\(736\) | 48.2494 | − | 38.4776i | 1.77849 | − | 1.41830i | ||||
\(737\) | − | 21.0540i | − | 0.775533i | ||||||
\(738\) | 42.9135i | 1.57967i | ||||||||
\(739\) | 26.7256 | + | 33.5129i | 0.983118 | + | 1.23279i | 0.972513 | + | 0.232847i | \(0.0748042\pi\) |
0.0106046 | + | 0.999944i | \(0.496624\pi\) | |||||||
\(740\) | 1.58152 | + | 0.761622i | 0.0581380 | + | 0.0279978i | ||||
\(741\) | 1.99732 | + | 1.59281i | 0.0733734 | + | 0.0585133i | ||||
\(742\) | −10.8968 | + | 22.6274i | −0.400033 | + | 0.830677i | ||||
\(743\) | −14.2307 | + | 3.24806i | −0.522074 | + | 0.119160i | −0.475433 | − | 0.879752i | \(-0.657709\pi\) |
−0.0466405 | + | 0.998912i | \(0.514852\pi\) | |||||||
\(744\) | 1.28466 | + | 1.61092i | 0.0470981 | + | 0.0590591i | ||||
\(745\) | −5.99947 | + | 1.36934i | −0.219804 | + | 0.0501688i | ||||
\(746\) | −52.5370 | + | 25.3005i | −1.92352 | + | 0.926317i | ||||
\(747\) | −11.6891 | + | 14.6577i | −0.427683 | + | 0.536297i | ||||
\(748\) | 2.02619 | + | 58.0509i | 0.0740849 | + | 2.12255i | ||||
\(749\) | 1.97974 | − | 8.67382i | 0.0723382 | − | 0.316934i | ||||
\(750\) | −13.5092 | + | 6.50568i | −0.493286 | + | 0.237554i | ||||
\(751\) | 5.82215 | − | 12.0898i | 0.212453 | − | 0.441164i | −0.767323 | − | 0.641261i | \(-0.778412\pi\) |
0.979776 | + | 0.200097i | \(0.0641258\pi\) | |||||||
\(752\) | −6.95877 | + | 30.4884i | −0.253760 | + | 1.11180i | ||||
\(753\) | −28.2177 | − | 6.44051i | −1.02831 | − | 0.234705i | ||||
\(754\) | 0.714067 | − | 1.48278i | 0.0260048 | − | 0.0539995i | ||||
\(755\) | −3.08738 | − | 6.41101i | −0.112361 | − | 0.233321i | ||||
\(756\) | −2.68413 | + | 11.7600i | −0.0976210 | + | 0.427706i | ||||
\(757\) | 8.32764 | − | 10.4425i | 0.302673 | − | 0.379540i | −0.607114 | − | 0.794614i | \(-0.707673\pi\) |
0.909787 | + | 0.415074i | \(0.136244\pi\) | |||||||
\(758\) | 13.1678 | + | 10.5009i | 0.478274 | + | 0.381411i | ||||
\(759\) | −46.4125 | − | 96.3766i | −1.68467 | − | 3.49825i | ||||
\(760\) | −0.473616 | + | 0.108100i | −0.0171799 | + | 0.00392119i | ||||
\(761\) | −15.1032 | − | 18.9388i | −0.547491 | − | 0.686532i | 0.428699 | − | 0.903447i | \(-0.358972\pi\) |
−0.976191 | + | 0.216915i | \(0.930401\pi\) | |||||||
\(762\) | 74.9208 | − | 17.1002i | 2.71410 | − | 0.619475i | ||||
\(763\) | 21.6343 | + | 10.4185i | 0.783216 | + | 0.377177i | ||||
\(764\) | −5.11641 | + | 6.41578i | −0.185105 | + | 0.232115i | ||||
\(765\) | −2.49853 | + | 0.662760i | −0.0903344 | + | 0.0239621i | ||||
\(766\) | 8.64805 | + | 10.8443i | 0.312467 | + | 0.391821i | ||||
\(767\) | −3.36366 | −0.121455 | ||||||||
\(768\) | − | 26.7632i | − | 0.965734i | ||||||
\(769\) | 0.0463587 | + | 0.0581320i | 0.00167174 | + | 0.00209629i | 0.782667 | − | 0.622441i | \(-0.213859\pi\) |
−0.780995 | + | 0.624537i | \(0.785288\pi\) | |||||||
\(770\) | 4.16602 | + | 8.65083i | 0.150133 | + | 0.311754i | ||||
\(771\) | −42.9937 | − | 9.81304i | −1.54838 | − | 0.353408i | ||||
\(772\) | −30.5482 | + | 6.97243i | −1.09945 | + | 0.250943i | ||||
\(773\) | −49.8988 | −1.79474 | −0.897368 | − | 0.441283i | \(-0.854523\pi\) | ||||
−0.897368 | + | 0.441283i | \(0.854523\pi\) | |||||||
\(774\) | −23.9864 | + | 7.71523i | −0.862173 | + | 0.277318i | ||||
\(775\) | 10.5714i | 0.379735i | ||||||||
\(776\) | −5.37729 | + | 1.22733i | −0.193033 | + | 0.0440586i | ||||
\(777\) | −11.1947 | − | 2.55511i | −0.401606 | − | 0.0916640i | ||||
\(778\) | −19.9248 | + | 9.59530i | −0.714340 | + | 0.344008i | ||||
\(779\) | −29.3566 | + | 23.4111i | −1.05181 | + | 0.838790i | ||||
\(780\) | 0.562290 | 0.0201332 | ||||||||
\(781\) | −30.1836 | −1.08006 | ||||||||
\(782\) | −63.1724 | − | 12.1172i | −2.25904 | − | 0.433310i | ||||
\(783\) | −5.22423 | − | 2.51585i | −0.186699 | − | 0.0899093i | ||||
\(784\) | −4.82932 | + | 6.05577i | −0.172476 | + | 0.216278i | ||||
\(785\) | 0.172838 | − | 0.358902i | 0.00616886 | − | 0.0128098i | ||||
\(786\) | −5.43468 | − | 23.8109i | −0.193849 | − | 0.849306i | ||||
\(787\) | −21.8098 | + | 17.3928i | −0.777437 | + | 0.619985i | −0.929684 | − | 0.368357i | \(-0.879920\pi\) |
0.152247 | + | 0.988342i | \(0.451349\pi\) | |||||||
\(788\) | −45.5004 | + | 10.3852i | −1.62089 | + | 0.369957i | ||||
\(789\) | −3.31911 | − | 6.89220i | −0.118163 | − | 0.245369i | ||||
\(790\) | 0.627548 | − | 0.786920i | 0.0223271 | − | 0.0279973i | ||||
\(791\) | −1.59827 | + | 2.00417i | −0.0568280 | + | 0.0712601i | ||||
\(792\) | 5.02209 | + | 1.14626i | 0.178452 | + | 0.0407305i | ||||
\(793\) | 1.39356 | + | 2.89375i | 0.0494867 | + | 0.102760i | ||||
\(794\) | −20.5717 | + | 42.7175i | −0.730061 | + | 1.51599i | ||||
\(795\) | 0.917844 | − | 4.02134i | 0.0325526 | − | 0.142622i | ||||
\(796\) | −58.4183 | − | 13.3336i | −2.07058 | − | 0.472597i | ||||
\(797\) | 11.2006 | + | 5.39392i | 0.396745 | + | 0.191063i | 0.621609 | − | 0.783328i | \(-0.286479\pi\) |
−0.224864 | + | 0.974390i | \(0.572194\pi\) | |||||||
\(798\) | 30.0872 | − | 14.4892i | 1.06507 | − | 0.512913i | ||||
\(799\) | 32.2901 | − | 16.9623i | 1.14234 | − | 0.600081i | ||||
\(800\) | −24.7367 | + | 31.0188i | −0.874573 | + | 1.09668i | ||||
\(801\) | −15.4592 | + | 19.3852i | −0.546224 | + | 0.684943i | ||||
\(802\) | 3.30079 | + | 6.85417i | 0.116555 | + | 0.242029i | ||||
\(803\) | 11.5136 | + | 50.4443i | 0.406306 | + | 1.78014i | ||||
\(804\) | −12.6007 | + | 10.0488i | −0.444394 | + | 0.354392i | ||||
\(805\) | −5.44204 | + | 1.24211i | −0.191807 | + | 0.0437786i | ||||
\(806\) | 0.662804 | − | 1.37633i | 0.0233463 | − | 0.0484790i | ||||
\(807\) | −10.2483 | + | 12.8509i | −0.360756 | + | 0.452374i | ||||
\(808\) | −6.15357 | − | 2.96340i | −0.216482 | − | 0.104252i | ||||
\(809\) | 9.74759 | − | 7.77344i | 0.342707 | − | 0.273300i | −0.436977 | − | 0.899473i | \(-0.643951\pi\) |
0.779684 | + | 0.626173i | \(0.215380\pi\) | |||||||
\(810\) | − | 7.63295i | − | 0.268194i | ||||||
\(811\) | 9.84002i | 0.345530i | 0.984963 | + | 0.172765i | \(0.0552701\pi\) | ||||
−0.984963 | + | 0.172765i | \(0.944730\pi\) | |||||||
\(812\) | −7.04163 | − | 8.82993i | −0.247113 | − | 0.309870i | ||||
\(813\) | 12.5961 | + | 26.1561i | 0.441766 | + | 0.917336i | ||||
\(814\) | 6.90323 | − | 30.2450i | 0.241958 | − | 1.06009i | ||||
\(815\) | 0.792926 | + | 3.47404i | 0.0277750 | + | 0.121690i | ||||
\(816\) | −24.4396 | + | 20.9255i | −0.855559 | + | 0.732537i | ||||
\(817\) | −18.3635 | − | 12.1998i | −0.642457 | − | 0.426817i | ||||
\(818\) | 40.3621 | 1.41123 | ||||||||
\(819\) | −1.37814 | + | 0.314551i | −0.0481561 | + | 0.0109913i | ||||
\(820\) | −1.83903 | + | 8.05733i | −0.0642218 | + | 0.281374i | ||||
\(821\) | −4.61770 | − | 9.58876i | −0.161159 | − | 0.334650i | 0.804716 | − | 0.593661i | \(-0.202318\pi\) |
−0.965874 | + | 0.259011i | \(0.916604\pi\) | |||||||
\(822\) | 15.0602 | − | 12.0101i | 0.525286 | − | 0.418901i | ||||
\(823\) | − | 15.2363i | − | 0.531105i | −0.964096 | − | 0.265552i | \(-0.914446\pi\) | ||
0.964096 | − | 0.265552i | \(-0.0855543\pi\) | |||||||
\(824\) | −5.56441 | −0.193845 | ||||||||
\(825\) | 42.8770 | + | 53.7661i | 1.49279 | + | 1.87189i | ||||
\(826\) | −19.0775 | + | 39.6149i | −0.663793 | + | 1.37838i | ||||
\(827\) | 41.3965 | + | 33.0126i | 1.43950 | + | 1.14796i | 0.963237 | + | 0.268655i | \(0.0865791\pi\) |
0.476259 | + | 0.879305i | \(0.341992\pi\) | |||||||
\(828\) | −13.6544 | + | 28.3536i | −0.474523 | + | 0.985356i | ||||
\(829\) | 8.67222 | + | 37.9955i | 0.301198 | + | 1.31964i | 0.868321 | + | 0.496003i | \(0.165200\pi\) |
−0.567122 | + | 0.823634i | \(0.691943\pi\) | |||||||
\(830\) | −5.37711 | + | 4.28810i | −0.186642 | + | 0.148842i | ||||
\(831\) | −10.2303 | − | 44.8219i | −0.354886 | − | 1.55486i | ||||
\(832\) | 2.97265 | − | 1.43155i | 0.103058 | − | 0.0496301i | ||||
\(833\) | 9.02851 | − | 0.315129i | 0.312819 | − | 0.0109186i | ||||
\(834\) | −62.9507 | + | 78.9377i | −2.17980 | + | 2.73339i | ||||
\(835\) | −0.972950 | + | 4.26277i | −0.0336703 | + | 0.147519i | ||||
\(836\) | 20.5508 | + | 42.6742i | 0.710765 | + | 1.47592i | ||||
\(837\) | −4.84918 | − | 2.33524i | −0.167612 | − | 0.0807177i | ||||
\(838\) | −28.2883 | − | 6.45663i | −0.977205 | − | 0.223041i | ||||
\(839\) | 16.9704 | + | 3.87339i | 0.585884 | + | 0.133724i | 0.505180 | − | 0.863014i | \(-0.331426\pi\) |
0.0807038 | + | 0.996738i | \(0.474283\pi\) | |||||||
\(840\) | 0.303477 | − | 0.630176i | 0.0104709 | − | 0.0217431i | ||||
\(841\) | −21.2367 | + | 10.2271i | −0.732300 | + | 0.352657i | ||||
\(842\) | 14.9536 | − | 65.5160i | 0.515335 | − | 2.25783i | ||||
\(843\) | −13.7526 | − | 10.9673i | −0.473665 | − | 0.377736i | ||||
\(844\) | 9.36875 | + | 7.47133i | 0.322486 | + | 0.257174i | ||||
\(845\) | 1.87118 | + | 3.88554i | 0.0643705 | + | 0.133667i | ||||
\(846\) | −7.56382 | − | 33.1392i | −0.260049 | − | 1.13935i | ||||
\(847\) | 50.7900 | − | 40.5037i | 1.74517 | − | 1.39172i | ||||
\(848\) | −4.39049 | − | 19.2360i | −0.150770 | − | 0.660567i | ||||
\(849\) | −27.0714 | − | 13.0369i | −0.929089 | − | 0.447426i | ||||
\(850\) | 41.3278 | − | 1.44249i | 1.41753 | − | 0.0494771i | ||||
\(851\) | 16.2492 | + | 7.82522i | 0.557017 | + | 0.268245i | ||||
\(852\) | 14.4062 | + | 18.0648i | 0.493549 | + | 0.618891i | ||||
\(853\) | 32.3811i | 1.10871i | 0.832281 | + | 0.554354i | \(0.187035\pi\) | ||||
−0.832281 | + | 0.554354i | \(0.812965\pi\) | |||||||
\(854\) | 41.9844 | 1.43668 | ||||||||
\(855\) | −1.64796 | + | 1.31420i | −0.0563589 | + | 0.0449447i | ||||
\(856\) | −0.759728 | − | 1.57759i | −0.0259670 | − | 0.0539210i | ||||
\(857\) | −3.47527 | − | 0.793207i | −0.118713 | − | 0.0270954i | 0.162752 | − | 0.986667i | \(-0.447963\pi\) |
−0.281465 | + | 0.959572i | \(0.590820\pi\) | |||||||
\(858\) | −2.21130 | − | 9.68832i | −0.0754924 | − | 0.330754i | ||||
\(859\) | 42.0163 | 1.43358 | 0.716789 | − | 0.697290i | \(-0.245611\pi\) | ||||
0.716789 | + | 0.697290i | \(0.245611\pi\) | |||||||
\(860\) | −4.83425 | + | 0.420669i | −0.164847 | + | 0.0143447i | ||||
\(861\) | − | 54.0619i | − | 1.84242i | ||||||
\(862\) | 21.7786 | − | 4.97083i | 0.741783 | − | 0.169307i | ||||
\(863\) | 6.59190 | − | 28.8810i | 0.224391 | − | 0.983121i | −0.729739 | − | 0.683726i | \(-0.760358\pi\) |
0.954129 | − | 0.299394i | \(-0.0967846\pi\) | |||||||
\(864\) | −8.76420 | − | 18.1991i | −0.298164 | − | 0.619144i | ||||
\(865\) | 2.25099 | + | 2.82265i | 0.0765360 | + | 0.0959731i | ||||
\(866\) | 26.3907 | 0.896794 | ||||||||
\(867\) | 37.0781 | + | 5.77917i | 1.25924 | + | 0.196271i | ||||
\(868\) | −6.53611 | − | 8.19602i | −0.221850 | − | 0.278191i | ||||
\(869\) | −8.41364 | − | 4.05180i | −0.285413 | − | 0.137448i | ||||
\(870\) | 2.76242 | + | 2.20295i | 0.0936547 | + | 0.0746871i | ||||
\(871\) | 1.02447 | + | 0.493359i | 0.0347128 | + | 0.0167168i | ||||
\(872\) | 4.60737 | − | 1.05160i | 0.156025 | − | 0.0356118i | ||||
\(873\) | −18.7104 | + | 14.9210i | −0.633250 | + | 0.505000i | ||||
\(874\) | −51.1362 | + | 11.6715i | −1.72971 | + | 0.394795i | ||||
\(875\) | 6.54054 | − | 3.14976i | 0.221111 | − | 0.106481i | ||||
\(876\) | 24.6955 | − | 30.9672i | 0.834385 | − | 1.04629i | ||||
\(877\) | −7.64701 | − | 6.09828i | −0.258221 | − | 0.205924i | 0.485819 | − | 0.874059i | \(-0.338521\pi\) |
−0.744040 | + | 0.668135i | \(0.767093\pi\) | |||||||
\(878\) | 35.2734 | + | 8.05091i | 1.19042 | + | 0.271705i | ||||
\(879\) | 5.93255 | + | 12.3191i | 0.200100 | + | 0.415512i | ||||
\(880\) | −6.79634 | − | 3.27295i | −0.229105 | − | 0.110331i | ||||
\(881\) | 48.0819 | + | 10.9744i | 1.61992 | + | 0.369736i | 0.933812 | − | 0.357763i | \(-0.116460\pi\) |
0.686108 | + | 0.727499i | \(0.259318\pi\) | |||||||
\(882\) | 1.87342 | − | 8.20800i | 0.0630814 | − | 0.276378i | ||||
\(883\) | −24.1240 | − | 11.6175i | −0.811839 | − | 0.390961i | −0.0185662 | − | 0.999828i | \(-0.505910\pi\) |
−0.793273 | + | 0.608867i | \(0.791624\pi\) | |||||||
\(884\) | −2.87219 | − | 1.26172i | −0.0966022 | − | 0.0424361i | ||||
\(885\) | 1.60692 | − | 7.04037i | 0.0540160 | − | 0.236659i | ||||
\(886\) | 1.33812 | − | 1.67795i | 0.0449551 | − | 0.0563720i | ||||
\(887\) | 24.2661 | + | 19.3516i | 0.814777 | + | 0.649763i | 0.939546 | − | 0.342423i | \(-0.111247\pi\) |
−0.124769 | + | 0.992186i | \(0.539819\pi\) | |||||||
\(888\) | −2.03608 | + | 0.980526i | −0.0683265 | + | 0.0329043i | ||||
\(889\) | −36.2733 | + | 8.27914i | −1.21657 | + | 0.277674i | ||||
\(890\) | −7.11138 | + | 5.67114i | −0.238374 | + | 0.190097i | ||||
\(891\) | −69.0434 | + | 15.7587i | −2.31304 | + | 0.527936i | ||||
\(892\) | 19.6404 | + | 9.45832i | 0.657609 | + | 0.316688i | ||||
\(893\) | 18.5438 | − | 23.2532i | 0.620544 | − | 0.778138i | ||||
\(894\) | 36.1226 | − | 75.0093i | 1.20812 | − | 2.50869i | ||||
\(895\) | 4.82130 | − | 3.84486i | 0.161158 | − | 0.128519i | ||||
\(896\) | − | 7.52969i | − | 0.251549i | ||||||
\(897\) | 5.77720 | 0.192895 | ||||||||
\(898\) | 6.99525 | − | 5.57853i | 0.233435 | − | 0.186158i | ||||
\(899\) | 4.54024 | − | 2.18646i | 0.151425 | − | 0.0729226i | ||||
\(900\) | 4.50197 | − | 19.7244i | 0.150066 | − | 0.657481i | ||||
\(901\) | −13.7118 | + | 18.4816i | −0.456807 | + | 0.615710i | ||||
\(902\) | 146.061 | 4.86330 | ||||||||
\(903\) | 30.2177 | − | 9.71954i | 1.00558 | − | 0.323446i | ||||
\(904\) | 0.504508i | 0.0167797i | ||||||||
\(905\) | −1.35359 | − | 5.93049i | −0.0449950 | − | 0.197136i | ||||
\(906\) | 93.8543 | + | 21.4216i | 3.11810 | + | 0.711686i | ||||
\(907\) | 9.88535 | + | 20.5271i | 0.328237 | + | 0.681592i | 0.998147 | − | 0.0608507i | \(-0.0193813\pi\) |
−0.669909 | + | 0.742443i | \(0.733667\pi\) | |||||||
\(908\) | −34.9384 | + | 27.8625i | −1.15947 | + | 0.924649i | ||||
\(909\) | −29.6344 | −0.982912 | ||||||||
\(910\) | −0.518565 | −0.0171903 | ||||||||
\(911\) | 5.44546 | − | 4.34261i | 0.180416 | − | 0.143877i | −0.529118 | − | 0.848548i | \(-0.677477\pi\) |
0.709534 | + | 0.704671i | \(0.248906\pi\) | |||||||
\(912\) | −11.3831 | + | 23.6373i | −0.376934 | + | 0.782711i | ||||
\(913\) | 49.8891 | + | 39.7853i | 1.65109 | + | 1.31670i | ||||
\(914\) | −70.2098 | − | 33.8113i | −2.32233 | − | 1.11838i | ||||
\(915\) | −6.72255 | + | 1.53438i | −0.222241 | + | 0.0507250i | ||||
\(916\) | 2.67616 | + | 3.35580i | 0.0884228 | + | 0.110879i | ||||
\(917\) | 2.63123 | + | 11.5282i | 0.0868908 | + | 0.380694i | ||||
\(918\) | −8.46772 | + | 19.2761i | −0.279477 | + | 0.636205i | ||||
\(919\) | −18.3802 | + | 23.0481i | −0.606308 | + | 0.760286i | −0.986346 | − | 0.164685i | \(-0.947339\pi\) |
0.380039 | + | 0.924971i | \(0.375911\pi\) | |||||||
\(920\) | −0.684961 | + | 0.858914i | −0.0225825 | + | 0.0283176i | ||||
\(921\) | −25.9075 | − | 5.91323i | −0.853683 | − | 0.194848i | ||||
\(922\) | 73.9917 | − | 35.6325i | 2.43679 | − | 1.17349i | ||||
\(923\) | 0.707295 | − | 1.46871i | 0.0232809 | − | 0.0483433i | ||||
\(924\) | −66.4855 | − | 15.1749i | −2.18721 | − | 0.499217i | ||||
\(925\) | −11.3039 | − | 2.58005i | −0.371671 | − | 0.0848314i | ||||
\(926\) | −5.42887 | − | 2.61441i | −0.178404 | − | 0.0859147i | ||||
\(927\) | −21.7524 | + | 10.4754i | −0.714443 | + | 0.344058i | ||||
\(928\) | 18.4384 | + | 4.20843i | 0.605269 | + | 0.138149i | ||||
\(929\) | 18.9612 | + | 15.1211i | 0.622098 | + | 0.496107i | 0.883071 | − | 0.469239i | \(-0.155472\pi\) |
−0.260973 | + | 0.965346i | \(0.584043\pi\) | |||||||
\(930\) | 2.56410 | + | 2.04480i | 0.0840802 | + | 0.0670517i | ||||
\(931\) | 6.63702 | − | 3.19622i | 0.217520 | − | 0.104752i | ||||
\(932\) | 8.80128 | − | 2.00883i | 0.288295 | − | 0.0658015i | ||||
\(933\) | −21.4111 | − | 26.8487i | −0.700969 | − | 0.878988i | ||||
\(934\) | 4.37086 | + | 19.1500i | 0.143019 | + | 0.626607i | ||||
\(935\) | 2.25578 | + | 8.50402i | 0.0737719 | + | 0.278111i | ||||
\(936\) | −0.173459 | + | 0.217511i | −0.00566968 | + | 0.00710956i | ||||
\(937\) | −52.7763 | − | 25.4157i | −1.72413 | − | 0.830295i | −0.988188 | − | 0.153247i | \(-0.951027\pi\) |
−0.735938 | − | 0.677049i | \(-0.763259\pi\) | |||||||
\(938\) | 11.6209 | − | 9.26735i | 0.379435 | − | 0.302590i | ||||
\(939\) | 3.28291 | 0.107134 | ||||||||
\(940\) | − | 6.54628i | − | 0.213516i | ||||||
\(941\) | −6.29709 | + | 5.02176i | −0.205279 | + | 0.163705i | −0.720733 | − | 0.693212i | \(-0.756195\pi\) |
0.515454 | + | 0.856917i | \(0.327623\pi\) | |||||||
\(942\) | 2.33832 | + | 4.85558i | 0.0761867 | + | 0.158203i | ||||
\(943\) | −18.8950 | + | 82.7843i | −0.615305 | + | 2.69583i | ||||
\(944\) | −7.68666 | − | 33.6775i | −0.250179 | − | 1.09611i | ||||
\(945\) | 1.82705i | 0.0594339i | ||||||||
\(946\) | 26.2596 | + | 81.6403i | 0.853775 | + | 2.65436i | ||||
\(947\) | 14.0254i | 0.455764i | 0.973689 | + | 0.227882i | \(0.0731800\pi\) | ||||
−0.973689 | + | 0.227882i | \(0.926820\pi\) | |||||||
\(948\) | 1.59072 | + | 6.96941i | 0.0516643 | + | 0.226356i | ||||
\(949\) | −2.72438 | − | 0.621822i | −0.0884372 | − | 0.0201852i | ||||
\(950\) | 30.3808 | − | 14.6306i | 0.985683 | − | 0.474680i | ||||
\(951\) | −33.2299 | − | 41.6690i | −1.07755 | − | 1.35121i | ||||
\(952\) | −2.96421 | + | 2.53798i | −0.0960706 | + | 0.0822566i | ||||
\(953\) | 49.5119 | 1.60385 | 0.801923 | − | 0.597427i | \(-0.203810\pi\) | ||||
0.801923 | + | 0.597427i | \(0.203810\pi\) | |||||||
\(954\) | 13.3715 | + | 16.7673i | 0.432918 | + | 0.542862i | ||||
\(955\) | −0.539295 | + | 1.11986i | −0.0174512 | + | 0.0362377i | ||||
\(956\) | −22.6803 | + | 28.4401i | −0.733532 | + | 0.919820i | ||||
\(957\) | 14.2235 | − | 29.5354i | 0.459780 | − | 0.954744i | ||||
\(958\) | 67.0767 | − | 15.3098i | 2.16715 | − | 0.494638i | ||||
\(959\) | −7.29148 | + | 5.81476i | −0.235454 | + | 0.187769i | ||||
\(960\) | 1.57621 | + | 6.90584i | 0.0508720 | + | 0.222885i | ||||
\(961\) | −23.7157 | + | 11.4209i | −0.765024 | + | 0.368416i | ||||
\(962\) | 1.30994 | + | 1.04464i | 0.0422341 | + | 0.0336805i | ||||
\(963\) | −5.93987 | − | 4.73689i | −0.191410 | − | 0.152644i | ||||
\(964\) | −3.92630 | − | 0.896153i | −0.126458 | − | 0.0288631i | ||||
\(965\) | −4.27602 | + | 2.05922i | −0.137650 | + | 0.0662887i | ||||
\(966\) | 32.7663 | − | 68.0399i | 1.05424 | − | 2.18915i | ||||
\(967\) | −0.451511 | + | 1.97820i | −0.0145196 | + | 0.0636146i | −0.981669 | − | 0.190595i | \(-0.938958\pi\) |
0.967149 | + | 0.254210i | \(0.0818154\pi\) | |||||||
\(968\) | 2.84501 | − | 12.4648i | 0.0914419 | − | 0.400633i | ||||
\(969\) | 29.5766 | − | 7.84549i | 0.950136 | − | 0.252033i | ||||
\(970\) | −7.90974 | + | 3.80913i | −0.253966 | + | 0.122304i | ||||
\(971\) | 2.85178 | − | 12.4945i | 0.0915179 | − | 0.400966i | −0.908333 | − | 0.418248i | \(-0.862644\pi\) |
0.999851 | + | 0.0172821i | \(0.00550133\pi\) | |||||||
\(972\) | 29.4834 | + | 23.5122i | 0.945680 | + | 0.754154i | ||||
\(973\) | 30.4779 | − | 38.2181i | 0.977076 | − | 1.22522i | ||||
\(974\) | −2.95277 | − | 6.13148i | −0.0946127 | − | 0.196465i | ||||
\(975\) | −3.62096 | + | 0.826460i | −0.115963 | + | 0.0264679i | ||||
\(976\) | −25.7881 | + | 20.5653i | −0.825456 | + | 0.658279i | ||||
\(977\) | −10.5189 | − | 46.0863i | −0.336530 | − | 1.47443i | −0.806228 | − | 0.591606i | \(-0.798494\pi\) |
0.469698 | − | 0.882827i | \(-0.344363\pi\) | |||||||
\(978\) | −43.4347 | − | 20.9170i | −1.38889 | − | 0.668853i | ||||
\(979\) | 65.9798 | + | 52.6171i | 2.10872 | + | 1.68165i | ||||
\(980\) | 0.703498 | − | 1.46083i | 0.0224724 | − | 0.0466644i | ||||
\(981\) | 16.0315 | − | 12.7847i | 0.511845 | − | 0.408183i | ||||
\(982\) | 23.5049 | 0.750073 | ||||||||
\(983\) | − | 39.0266i | − | 1.24476i | −0.782717 | − | 0.622378i | \(-0.786167\pi\) | ||
0.782717 | − | 0.622378i | \(-0.213833\pi\) | |||||||
\(984\) | −6.63388 | − | 8.31862i | −0.211480 | − | 0.265188i | ||||
\(985\) | −6.36897 | + | 3.06714i | −0.202932 | + | 0.0977271i | ||||
\(986\) | −9.16731 | − | 17.4513i | −0.291947 | − | 0.555762i | ||||
\(987\) | 9.52880 | + | 41.7484i | 0.303305 | + | 1.32887i | ||||
\(988\) | −2.55806 | −0.0813829 | ||||||||
\(989\) | −49.6691 | + | 4.32213i | −1.57939 | + | 0.137436i | ||||
\(990\) | 8.19924 | 0.260589 | ||||||||
\(991\) | −34.2846 | + | 7.82525i | −1.08909 | + | 0.248577i | −0.729119 | − | 0.684387i | \(-0.760070\pi\) |
−0.359969 | + | 0.932964i | \(0.617213\pi\) | |||||||
\(992\) | 17.1147 | + | 3.90631i | 0.543391 | + | 0.124025i | ||||
\(993\) | −29.1845 | − | 60.6022i | −0.926142 | − | 1.92315i | ||||
\(994\) | −13.2860 | − | 16.6601i | −0.421405 | − | 0.528426i | ||||
\(995\) | −9.07597 | −0.287728 | ||||||||
\(996\) | − | 48.8475i | − | 1.54779i | ||||||
\(997\) | 29.7984 | − | 23.7634i | 0.943725 | − | 0.752596i | −0.0252685 | − | 0.999681i | \(-0.508044\pi\) |
0.968994 | + | 0.247085i | \(0.0794726\pi\) | |||||||
\(998\) | −8.46744 | + | 17.5828i | −0.268032 | + | 0.556575i | ||||
\(999\) | 3.68055 | − | 4.61527i | 0.116448 | − | 0.146021i |
(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 | 731.2.p.a.16.14 | yes | 384 | |
17.16 | even | 2 | inner | 731.2.p.a.16.13 | ✓ | 384 | |
43.35 | even | 7 | inner | 731.2.p.a.594.13 | yes | 384 | |
731.594 | even | 14 | inner | 731.2.p.a.594.14 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.p.a.16.13 | ✓ | 384 | 17.16 | even | 2 | inner | |
731.2.p.a.16.14 | yes | 384 | 1.1 | even | 1 | trivial | |
731.2.p.a.594.13 | yes | 384 | 43.35 | even | 7 | inner | |
731.2.p.a.594.14 | yes | 384 | 731.594 | even | 14 | inner |