Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,3,Mod(69,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.69");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.c (of order \(2\), degree \(1\), 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: | \(7.62944740209\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 69.6 | ||
Character | \(\chi\) | \(=\) | 280.69 |
Dual form | 280.3.c.g.69.7 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.94895 | − | 0.448973i | −0.974477 | − | 0.224487i | ||||
\(3\) | 3.68915i | 1.22972i | 0.788637 | + | 0.614859i | \(0.210787\pi\) | ||||
−0.788637 | + | 0.614859i | \(0.789213\pi\) | |||||||
\(4\) | 3.59685 | + | 1.75006i | 0.899212 | + | 0.437514i | ||||
\(5\) | 0.693644 | − | 4.95165i | 0.138729 | − | 0.990330i | ||||
\(6\) | 1.65633 | − | 7.18999i | 0.276055 | − | 1.19833i | ||||
\(7\) | −4.51720 | − | 5.34742i | −0.645315 | − | 0.763917i | ||||
\(8\) | −6.22436 | − | 5.02567i | −0.778045 | − | 0.628209i | ||||
\(9\) | −4.60986 | −0.512207 | ||||||||
\(10\) | −3.57504 | + | 9.33912i | −0.357504 | + | 0.933912i | ||||
\(11\) | 10.2130i | 0.928458i | 0.885715 | + | 0.464229i | \(0.153669\pi\) | ||||
−0.885715 | + | 0.464229i | \(0.846331\pi\) | |||||||
\(12\) | −6.45623 | + | 13.2693i | −0.538019 | + | 1.10578i | ||||
\(13\) | 14.4358i | 1.11045i | 0.831701 | + | 0.555224i | \(0.187367\pi\) | ||||
−0.831701 | + | 0.555224i | \(0.812633\pi\) | |||||||
\(14\) | 6.40297 | + | 12.4500i | 0.457355 | + | 0.889284i | ||||
\(15\) | 18.2674 | + | 2.55896i | 1.21783 | + | 0.170597i | ||||
\(16\) | 9.87460 | + | 12.5894i | 0.617163 | + | 0.786836i | ||||
\(17\) | −16.4391 | −0.967008 | −0.483504 | − | 0.875342i | \(-0.660636\pi\) | ||||
−0.483504 | + | 0.875342i | \(0.660636\pi\) | |||||||
\(18\) | 8.98441 | + | 2.06970i | 0.499134 | + | 0.114984i | ||||
\(19\) | −31.0538 | −1.63441 | −0.817206 | − | 0.576346i | \(-0.804478\pi\) | ||||
−0.817206 | + | 0.576346i | \(0.804478\pi\) | |||||||
\(20\) | 11.1606 | − | 16.5964i | 0.558030 | − | 0.829821i | ||||
\(21\) | 19.7275 | − | 16.6647i | 0.939403 | − | 0.793555i | ||||
\(22\) | 4.58538 | − | 19.9048i | 0.208427 | − | 0.904762i | ||||
\(23\) | 20.2273i | 0.879446i | 0.898133 | + | 0.439723i | \(0.144923\pi\) | ||||
−0.898133 | + | 0.439723i | \(0.855077\pi\) | |||||||
\(24\) | 18.5405 | − | 22.9626i | 0.772519 | − | 0.956776i | ||||
\(25\) | −24.0377 | − | 6.86937i | −0.961509 | − | 0.274775i | ||||
\(26\) | 6.48130 | − | 28.1348i | 0.249281 | − | 1.08211i | ||||
\(27\) | 16.1959i | 0.599848i | ||||||||
\(28\) | −6.88939 | − | 27.1392i | −0.246050 | − | 0.969257i | ||||
\(29\) | − | 56.8127i | − | 1.95906i | −0.201302 | − | 0.979529i | \(-0.564517\pi\) | ||
0.201302 | − | 0.979529i | \(-0.435483\pi\) | |||||||
\(30\) | −34.4534 | − | 13.1889i | −1.14845 | − | 0.439629i | ||||
\(31\) | 25.7499i | 0.830641i | 0.909675 | + | 0.415320i | \(0.136331\pi\) | ||||
−0.909675 | + | 0.415320i | \(0.863669\pi\) | |||||||
\(32\) | −13.5929 | − | 28.9695i | −0.424777 | − | 0.905298i | ||||
\(33\) | −37.6775 | −1.14174 | ||||||||
\(34\) | 32.0391 | + | 7.38073i | 0.942327 | + | 0.217080i | ||||
\(35\) | −29.6119 | + | 18.6584i | −0.846054 | + | 0.533097i | ||||
\(36\) | −16.5810 | − | 8.06752i | −0.460582 | − | 0.224098i | ||||
\(37\) | −66.0553 | −1.78528 | −0.892640 | − | 0.450771i | \(-0.851149\pi\) | ||||
−0.892640 | + | 0.450771i | \(0.851149\pi\) | |||||||
\(38\) | 60.5225 | + | 13.9423i | 1.59270 | + | 0.366904i | ||||
\(39\) | −53.2560 | −1.36554 | ||||||||
\(40\) | −29.2029 | + | 27.3348i | −0.730071 | + | 0.683371i | ||||
\(41\) | − | 0.504264i | − | 0.0122991i | −0.999981 | − | 0.00614956i | \(-0.998043\pi\) | ||
0.999981 | − | 0.00614956i | \(-0.00195748\pi\) | |||||||
\(42\) | −45.9299 | + | 23.6216i | −1.09357 | + | 0.562418i | ||||
\(43\) | 26.2293 | 0.609983 | 0.304992 | − | 0.952355i | \(-0.401346\pi\) | ||||
0.304992 | + | 0.952355i | \(0.401346\pi\) | |||||||
\(44\) | −17.8734 | + | 36.7347i | −0.406214 | + | 0.834881i | ||||
\(45\) | −3.19760 | + | 22.8264i | −0.0710578 | + | 0.507254i | ||||
\(46\) | 9.08150 | − | 39.4220i | 0.197424 | − | 0.857000i | ||||
\(47\) | 20.2286 | 0.430395 | 0.215197 | − | 0.976571i | \(-0.430961\pi\) | ||||
0.215197 | + | 0.976571i | \(0.430961\pi\) | |||||||
\(48\) | −46.4441 | + | 36.4289i | −0.967586 | + | 0.758936i | ||||
\(49\) | −8.18977 | + | 48.3107i | −0.167138 | + | 0.985933i | ||||
\(50\) | 43.7642 | + | 24.1804i | 0.875285 | + | 0.483608i | ||||
\(51\) | − | 60.6465i | − | 1.18915i | ||||||
\(52\) | −25.2635 | + | 51.9234i | −0.485837 | + | 0.998528i | ||||
\(53\) | 53.0620 | 1.00117 | 0.500585 | − | 0.865687i | \(-0.333118\pi\) | ||||
0.500585 | + | 0.865687i | \(0.333118\pi\) | |||||||
\(54\) | 7.27153 | − | 31.5651i | 0.134658 | − | 0.584538i | ||||
\(55\) | 50.5714 | + | 7.08422i | 0.919481 | + | 0.128804i | ||||
\(56\) | 1.24234 | + | 55.9862i | 0.0221846 | + | 0.999754i | ||||
\(57\) | − | 114.562i | − | 2.00987i | ||||||
\(58\) | −25.5074 | + | 110.725i | −0.439782 | + | 1.90906i | ||||
\(59\) | −59.3867 | −1.00655 | −0.503277 | − | 0.864125i | \(-0.667873\pi\) | ||||
−0.503277 | + | 0.864125i | \(0.667873\pi\) | |||||||
\(60\) | 61.2267 | + | 41.1732i | 1.02045 | + | 0.686220i | ||||
\(61\) | −69.5062 | −1.13945 | −0.569723 | − | 0.821837i | \(-0.692950\pi\) | ||||
−0.569723 | + | 0.821837i | \(0.692950\pi\) | |||||||
\(62\) | 11.5610 | − | 50.1853i | 0.186468 | − | 0.809440i | ||||
\(63\) | 20.8237 | + | 24.6509i | 0.330535 | + | 0.391283i | ||||
\(64\) | 13.4853 | + | 62.5631i | 0.210708 | + | 0.977549i | ||||
\(65\) | 71.4812 | + | 10.0133i | 1.09971 | + | 0.154051i | ||||
\(66\) | 73.4317 | + | 16.9162i | 1.11260 | + | 0.256306i | ||||
\(67\) | −61.9289 | −0.924312 | −0.462156 | − | 0.886799i | \(-0.652924\pi\) | ||||
−0.462156 | + | 0.886799i | \(0.652924\pi\) | |||||||
\(68\) | −59.1291 | − | 28.7694i | −0.869545 | − | 0.423080i | ||||
\(69\) | −74.6215 | −1.08147 | ||||||||
\(70\) | 66.0893 | − | 23.0694i | 0.944133 | − | 0.329563i | ||||
\(71\) | −25.5504 | −0.359864 | −0.179932 | − | 0.983679i | \(-0.557588\pi\) | ||||
−0.179932 | + | 0.983679i | \(0.557588\pi\) | |||||||
\(72\) | 28.6934 | + | 23.1676i | 0.398520 | + | 0.321773i | ||||
\(73\) | 34.7213 | 0.475634 | 0.237817 | − | 0.971310i | \(-0.423568\pi\) | ||||
0.237817 | + | 0.971310i | \(0.423568\pi\) | |||||||
\(74\) | 128.739 | + | 29.6571i | 1.73971 | + | 0.400771i | ||||
\(75\) | 25.3422 | − | 88.6788i | 0.337895 | − | 1.18238i | ||||
\(76\) | −111.696 | − | 54.3460i | −1.46968 | − | 0.715078i | ||||
\(77\) | 54.6134 | − | 46.1344i | 0.709265 | − | 0.599148i | ||||
\(78\) | 103.793 | + | 23.9105i | 1.33069 | + | 0.306545i | ||||
\(79\) | 64.4865 | 0.816284 | 0.408142 | − | 0.912918i | \(-0.366177\pi\) | ||||
0.408142 | + | 0.912918i | \(0.366177\pi\) | |||||||
\(80\) | 69.1876 | − | 40.1631i | 0.864845 | − | 0.502038i | ||||
\(81\) | −101.238 | −1.24985 | ||||||||
\(82\) | −0.226401 | + | 0.982788i | −0.00276099 | + | 0.0119852i | ||||
\(83\) | − | 9.27026i | − | 0.111690i | −0.998439 | − | 0.0558449i | \(-0.982215\pi\) | ||
0.998439 | − | 0.0558449i | \(-0.0177852\pi\) | |||||||
\(84\) | 100.121 | − | 25.4160i | 1.19191 | − | 0.302572i | ||||
\(85\) | −11.4029 | + | 81.4009i | −0.134152 | + | 0.957658i | ||||
\(86\) | −51.1197 | − | 11.7762i | −0.594415 | − | 0.136933i | ||||
\(87\) | 209.591 | 2.40909 | ||||||||
\(88\) | 51.3274 | − | 63.5697i | 0.583266 | − | 0.722382i | ||||
\(89\) | − | 22.0650i | − | 0.247921i | −0.992287 | − | 0.123961i | \(-0.960440\pi\) | ||
0.992287 | − | 0.123961i | \(-0.0395597\pi\) | |||||||
\(90\) | 16.4804 | − | 43.0520i | 0.183116 | − | 0.478356i | ||||
\(91\) | 77.1944 | − | 65.2095i | 0.848290 | − | 0.716588i | ||||
\(92\) | −35.3989 | + | 72.7544i | −0.384770 | + | 0.790808i | ||||
\(93\) | −94.9952 | −1.02145 | ||||||||
\(94\) | −39.4245 | − | 9.08208i | −0.419410 | − | 0.0966179i | ||||
\(95\) | −21.5403 | + | 153.768i | −0.226740 | + | 1.61861i | ||||
\(96\) | 106.873 | − | 50.1462i | 1.11326 | − | 0.522356i | ||||
\(97\) | −74.3644 | −0.766643 | −0.383321 | − | 0.923615i | \(-0.625220\pi\) | ||||
−0.383321 | + | 0.923615i | \(0.625220\pi\) | |||||||
\(98\) | 37.6517 | − | 90.4784i | 0.384201 | − | 0.923249i | ||||
\(99\) | − | 47.0807i | − | 0.475563i | ||||||
\(100\) | −74.4382 | − | 66.7754i | −0.744382 | − | 0.667754i | ||||
\(101\) | 104.960 | 1.03920 | 0.519602 | − | 0.854408i | \(-0.326080\pi\) | ||||
0.519602 | + | 0.854408i | \(0.326080\pi\) | |||||||
\(102\) | −27.2287 | + | 118.197i | −0.266948 | + | 1.15880i | ||||
\(103\) | −59.3436 | −0.576151 | −0.288076 | − | 0.957608i | \(-0.593015\pi\) | ||||
−0.288076 | + | 0.957608i | \(0.593015\pi\) | |||||||
\(104\) | 72.5497 | − | 89.8538i | 0.697593 | − | 0.863979i | ||||
\(105\) | −68.8337 | − | 109.243i | −0.655560 | − | 1.04041i | ||||
\(106\) | −103.415 | − | 23.8234i | −0.975617 | − | 0.224749i | ||||
\(107\) | 168.968 | 1.57914 | 0.789571 | − | 0.613660i | \(-0.210303\pi\) | ||||
0.789571 | + | 0.613660i | \(0.210303\pi\) | |||||||
\(108\) | −28.3437 | + | 58.2542i | −0.262442 | + | 0.539390i | ||||
\(109\) | 40.5581i | 0.372092i | 0.982541 | + | 0.186046i | \(0.0595674\pi\) | ||||
−0.982541 | + | 0.186046i | \(0.940433\pi\) | |||||||
\(110\) | −95.3808 | − | 36.5120i | −0.867098 | − | 0.331928i | ||||
\(111\) | − | 243.688i | − | 2.19539i | ||||||
\(112\) | 22.7150 | − | 109.672i | 0.202813 | − | 0.979217i | ||||
\(113\) | 145.160i | 1.28460i | 0.766453 | + | 0.642300i | \(0.222020\pi\) | ||||
−0.766453 | + | 0.642300i | \(0.777980\pi\) | |||||||
\(114\) | −51.4354 | + | 223.277i | −0.451188 | + | 1.95857i | ||||
\(115\) | 100.158 | + | 14.0305i | 0.870942 | + | 0.122005i | ||||
\(116\) | 99.4254 | − | 204.347i | 0.857116 | − | 1.76161i | ||||
\(117\) | − | 66.5472i | − | 0.568779i | ||||||
\(118\) | 115.742 | + | 26.6631i | 0.980865 | + | 0.225958i | ||||
\(119\) | 74.2589 | + | 87.9070i | 0.624024 | + | 0.738714i | ||||
\(120\) | −100.842 | − | 107.734i | −0.840354 | − | 0.897782i | ||||
\(121\) | 16.6937 | 0.137965 | ||||||||
\(122\) | 135.464 | + | 31.2064i | 1.11036 | + | 0.255790i | ||||
\(123\) | 1.86031 | 0.0151245 | ||||||||
\(124\) | −45.0637 | + | 92.6183i | −0.363417 | + | 0.746922i | ||||
\(125\) | −50.6883 | + | 114.262i | −0.405507 | + | 0.914092i | ||||
\(126\) | −29.5168 | − | 57.3927i | −0.234260 | − | 0.455497i | ||||
\(127\) | 131.272i | 1.03364i | 0.856094 | + | 0.516819i | \(0.172884\pi\) | ||||
−0.856094 | + | 0.516819i | \(0.827116\pi\) | |||||||
\(128\) | 1.80691 | − | 127.987i | 0.0141164 | − | 0.999900i | ||||
\(129\) | 96.7639i | 0.750108i | ||||||||
\(130\) | −134.818 | − | 51.6087i | −1.03706 | − | 0.396990i | ||||
\(131\) | 47.1382 | 0.359834 | 0.179917 | − | 0.983682i | \(-0.442417\pi\) | ||||
0.179917 | + | 0.983682i | \(0.442417\pi\) | |||||||
\(132\) | −135.520 | − | 65.9378i | −1.02667 | − | 0.499528i | ||||
\(133\) | 140.276 | + | 166.058i | 1.05471 | + | 1.24856i | ||||
\(134\) | 120.697 | + | 27.8044i | 0.900721 | + | 0.207496i | ||||
\(135\) | 80.1965 | + | 11.2342i | 0.594048 | + | 0.0832162i | ||||
\(136\) | 102.323 | + | 82.6177i | 0.752376 | + | 0.607483i | ||||
\(137\) | − | 48.2151i | − | 0.351935i | −0.984396 | − | 0.175967i | \(-0.943695\pi\) | ||
0.984396 | − | 0.175967i | \(-0.0563053\pi\) | |||||||
\(138\) | 145.434 | + | 33.5031i | 1.05387 | + | 0.242776i | ||||
\(139\) | −89.2672 | −0.642210 | −0.321105 | − | 0.947044i | \(-0.604054\pi\) | ||||
−0.321105 | + | 0.947044i | \(0.604054\pi\) | |||||||
\(140\) | −139.163 | + | 15.2889i | −0.994019 | + | 0.109207i | ||||
\(141\) | 74.6263i | 0.529264i | ||||||||
\(142\) | 49.7965 | + | 11.4714i | 0.350680 | + | 0.0807847i | ||||
\(143\) | −147.434 | −1.03100 | ||||||||
\(144\) | −45.5206 | − | 58.0352i | −0.316115 | − | 0.403023i | ||||
\(145\) | −281.317 | − | 39.4078i | −1.94012 | − | 0.271778i | ||||
\(146\) | −67.6702 | − | 15.5889i | −0.463495 | − | 0.106774i | ||||
\(147\) | −178.226 | − | 30.2133i | −1.21242 | − | 0.205533i | ||||
\(148\) | −237.591 | − | 115.601i | −1.60534 | − | 0.781085i | ||||
\(149\) | − | 49.6284i | − | 0.333077i | −0.986035 | − | 0.166538i | \(-0.946741\pi\) | ||
0.986035 | − | 0.166538i | \(-0.0532589\pi\) | |||||||
\(150\) | −89.2051 | + | 161.453i | −0.594701 | + | 1.07635i | ||||
\(151\) | −65.9244 | −0.436585 | −0.218293 | − | 0.975883i | \(-0.570049\pi\) | ||||
−0.218293 | + | 0.975883i | \(0.570049\pi\) | |||||||
\(152\) | 193.290 | + | 156.066i | 1.27165 | + | 1.02675i | ||||
\(153\) | 75.7822 | 0.495308 | ||||||||
\(154\) | −127.152 | + | 65.3938i | −0.825663 | + | 0.424635i | ||||
\(155\) | 127.504 | + | 17.8612i | 0.822609 | + | 0.115234i | ||||
\(156\) | −191.554 | − | 93.2010i | −1.22791 | − | 0.597442i | ||||
\(157\) | 3.29611i | 0.0209944i | 0.999945 | + | 0.0104972i | \(0.00334142\pi\) | ||||
−0.999945 | + | 0.0104972i | \(0.996659\pi\) | |||||||
\(158\) | −125.681 | − | 28.9527i | −0.795450 | − | 0.183245i | ||||
\(159\) | 195.754i | 1.23116i | ||||||||
\(160\) | −152.876 | + | 47.2126i | −0.955473 | + | 0.295079i | ||||
\(161\) | 108.164 | − | 91.3706i | 0.671824 | − | 0.567520i | ||||
\(162\) | 197.308 | + | 45.4531i | 1.21795 | + | 0.280575i | ||||
\(163\) | 80.8482 | 0.496001 | 0.248001 | − | 0.968760i | \(-0.420226\pi\) | ||||
0.248001 | + | 0.968760i | \(0.420226\pi\) | |||||||
\(164\) | 0.882491 | − | 1.81376i | 0.00538104 | − | 0.0110595i | ||||
\(165\) | −26.1348 | + | 186.566i | −0.158393 | + | 1.13070i | ||||
\(166\) | −4.16210 | + | 18.0673i | −0.0250729 | + | 0.108839i | ||||
\(167\) | 185.849 | 1.11287 | 0.556434 | − | 0.830892i | \(-0.312169\pi\) | ||||
0.556434 | + | 0.830892i | \(0.312169\pi\) | |||||||
\(168\) | −206.542 | + | 4.58318i | −1.22942 | + | 0.0272809i | ||||
\(169\) | −39.3931 | −0.233095 | ||||||||
\(170\) | 58.7706 | − | 153.527i | 0.345709 | − | 0.903100i | ||||
\(171\) | 143.154 | 0.837157 | ||||||||
\(172\) | 94.3427 | + | 45.9027i | 0.548504 | + | 0.266876i | ||||
\(173\) | − | 203.853i | − | 1.17834i | −0.808009 | − | 0.589170i | \(-0.799455\pi\) | ||
0.808009 | − | 0.589170i | \(-0.200545\pi\) | |||||||
\(174\) | −408.483 | − | 94.1007i | −2.34760 | − | 0.540808i | ||||
\(175\) | 71.8498 | + | 159.570i | 0.410570 | + | 0.911829i | ||||
\(176\) | −128.576 | + | 100.850i | −0.730544 | + | 0.573010i | ||||
\(177\) | − | 219.087i | − | 1.23778i | ||||||
\(178\) | −9.90660 | + | 43.0037i | −0.0556551 | + | 0.241594i | ||||
\(179\) | 252.488i | 1.41055i | 0.708934 | + | 0.705275i | \(0.249176\pi\) | ||||
−0.708934 | + | 0.705275i | \(0.750824\pi\) | |||||||
\(180\) | −51.4488 | + | 76.5072i | −0.285827 | + | 0.425040i | ||||
\(181\) | 105.014 | 0.580186 | 0.290093 | − | 0.956998i | \(-0.406314\pi\) | ||||
0.290093 | + | 0.956998i | \(0.406314\pi\) | |||||||
\(182\) | −179.726 | + | 92.4322i | −0.987504 | + | 0.507869i | ||||
\(183\) | − | 256.419i | − | 1.40120i | ||||||
\(184\) | 101.656 | − | 125.902i | 0.552476 | − | 0.684249i | ||||
\(185\) | −45.8189 | + | 327.083i | −0.247670 | + | 1.76802i | ||||
\(186\) | 185.141 | + | 42.6503i | 0.995384 | + | 0.229303i | ||||
\(187\) | − | 167.894i | − | 0.897827i | ||||||
\(188\) | 72.7590 | + | 35.4011i | 0.387016 | + | 0.188304i | ||||
\(189\) | 86.6063 | − | 73.1602i | 0.458234 | − | 0.387091i | ||||
\(190\) | 111.019 | − | 290.015i | 0.584309 | − | 1.52640i | ||||
\(191\) | −91.0901 | −0.476912 | −0.238456 | − | 0.971153i | \(-0.576641\pi\) | ||||
−0.238456 | + | 0.971153i | \(0.576641\pi\) | |||||||
\(192\) | −230.805 | + | 49.7494i | −1.20211 | + | 0.259112i | ||||
\(193\) | − | 126.767i | − | 0.656822i | −0.944535 | − | 0.328411i | \(-0.893487\pi\) | ||
0.944535 | − | 0.328411i | \(-0.106513\pi\) | |||||||
\(194\) | 144.933 | + | 33.3876i | 0.747076 | + | 0.172101i | ||||
\(195\) | −36.9407 | + | 263.705i | −0.189439 | + | 1.35233i | ||||
\(196\) | −114.004 | + | 159.434i | −0.581652 | + | 0.813437i | ||||
\(197\) | −315.300 | −1.60051 | −0.800253 | − | 0.599663i | \(-0.795301\pi\) | ||||
−0.800253 | + | 0.599663i | \(0.795301\pi\) | |||||||
\(198\) | −21.1380 | + | 91.7582i | −0.106757 | + | 0.463425i | ||||
\(199\) | − | 304.652i | − | 1.53091i | −0.643488 | − | 0.765456i | \(-0.722513\pi\) | ||
0.643488 | − | 0.765456i | \(-0.277487\pi\) | |||||||
\(200\) | 115.096 | + | 163.563i | 0.575481 | + | 0.817815i | ||||
\(201\) | − | 228.465i | − | 1.13664i | ||||||
\(202\) | −204.562 | − | 47.1241i | −1.01268 | − | 0.233288i | ||||
\(203\) | −303.801 | + | 256.634i | −1.49656 | + | 1.26421i | ||||
\(204\) | 106.135 | − | 218.136i | 0.520269 | − | 1.06930i | ||||
\(205\) | −2.49694 | − | 0.349780i | −0.0121802 | − | 0.00170624i | ||||
\(206\) | 115.658 | + | 26.6437i | 0.561446 | + | 0.129338i | ||||
\(207\) | − | 93.2449i | − | 0.450458i | ||||||
\(208\) | −181.738 | + | 142.548i | −0.873740 | + | 0.685327i | ||||
\(209\) | − | 317.154i | − | 1.51748i | ||||||
\(210\) | 85.1067 | + | 243.814i | 0.405270 | + | 1.16102i | ||||
\(211\) | 119.367i | 0.565722i | 0.959161 | + | 0.282861i | \(0.0912836\pi\) | ||||
−0.959161 | + | 0.282861i | \(0.908716\pi\) | |||||||
\(212\) | 190.856 | + | 92.8615i | 0.900264 | + | 0.438026i | ||||
\(213\) | − | 94.2593i | − | 0.442532i | ||||||
\(214\) | −329.311 | − | 75.8622i | −1.53884 | − | 0.354496i | ||||
\(215\) | 18.1938 | − | 129.878i | 0.0846223 | − | 0.604085i | ||||
\(216\) | 81.3952 | − | 100.809i | 0.376830 | − | 0.466709i | ||||
\(217\) | 137.695 | − | 116.317i | 0.634541 | − | 0.536025i | ||||
\(218\) | 18.2095 | − | 79.0458i | 0.0835298 | − | 0.362596i | ||||
\(219\) | 128.092i | 0.584896i | ||||||||
\(220\) | 169.500 | + | 113.984i | 0.770454 | + | 0.518108i | ||||
\(221\) | − | 237.313i | − | 1.07381i | ||||||
\(222\) | −109.410 | + | 474.937i | −0.492836 | + | 2.13936i | ||||
\(223\) | −225.950 | −1.01323 | −0.506615 | − | 0.862172i | \(-0.669104\pi\) | ||||
−0.506615 | + | 0.862172i | \(0.669104\pi\) | |||||||
\(224\) | −93.5105 | + | 203.548i | −0.417458 | + | 0.908696i | ||||
\(225\) | 110.811 | + | 31.6668i | 0.492491 | + | 0.140741i | ||||
\(226\) | 65.1729 | − | 282.910i | 0.288376 | − | 1.25181i | ||||
\(227\) | − | 233.683i | − | 1.02944i | −0.857358 | − | 0.514721i | \(-0.827896\pi\) | ||
0.857358 | − | 0.514721i | \(-0.172104\pi\) | |||||||
\(228\) | 200.491 | − | 412.063i | 0.879345 | − | 1.80729i | ||||
\(229\) | 410.025 | 1.79050 | 0.895251 | − | 0.445562i | \(-0.146996\pi\) | ||||
0.895251 | + | 0.445562i | \(0.146996\pi\) | |||||||
\(230\) | −188.905 | − | 72.3133i | −0.821325 | − | 0.314406i | ||||
\(231\) | 170.197 | + | 201.477i | 0.736783 | + | 0.872196i | ||||
\(232\) | −285.522 | + | 353.623i | −1.23070 | + | 1.52424i | ||||
\(233\) | 195.365i | 0.838476i | 0.907876 | + | 0.419238i | \(0.137703\pi\) | ||||
−0.907876 | + | 0.419238i | \(0.862297\pi\) | |||||||
\(234\) | −29.8779 | + | 129.697i | −0.127683 | + | 0.554262i | ||||
\(235\) | 14.0314 | − | 100.165i | 0.0597081 | − | 0.426233i | ||||
\(236\) | −213.605 | − | 103.930i | −0.905106 | − | 0.440382i | ||||
\(237\) | 237.901i | 1.00380i | ||||||||
\(238\) | −105.259 | − | 204.667i | −0.442266 | − | 0.859945i | ||||
\(239\) | −1.13036 | −0.00472952 | −0.00236476 | − | 0.999997i | \(-0.500753\pi\) | ||||
−0.00236476 | + | 0.999997i | \(0.500753\pi\) | |||||||
\(240\) | 148.168 | + | 255.244i | 0.617366 | + | 1.06352i | ||||
\(241\) | 184.725i | 0.766495i | 0.923646 | + | 0.383247i | \(0.125194\pi\) | ||||
−0.923646 | + | 0.383247i | \(0.874806\pi\) | |||||||
\(242\) | −32.5354 | − | 7.49505i | −0.134444 | − | 0.0309713i | ||||
\(243\) | − | 227.719i | − | 0.937116i | ||||||
\(244\) | −250.003 | − | 121.640i | −1.02460 | − | 0.498524i | ||||
\(245\) | 233.537 | + | 74.0634i | 0.953213 | + | 0.302299i | ||||
\(246\) | −3.62566 | − | 0.835229i | −0.0147384 | − | 0.00339524i | ||||
\(247\) | − | 448.288i | − | 1.81493i | ||||||
\(248\) | 129.410 | − | 160.276i | 0.521816 | − | 0.646276i | ||||
\(249\) | 34.1994 | 0.137347 | ||||||||
\(250\) | 150.090 | − | 199.933i | 0.600358 | − | 0.799731i | ||||
\(251\) | −161.026 | −0.641537 | −0.320769 | − | 0.947158i | \(-0.603941\pi\) | ||||
−0.320769 | + | 0.947158i | \(0.603941\pi\) | |||||||
\(252\) | 31.7592 | + | 125.108i | 0.126028 | + | 0.496460i | ||||
\(253\) | −206.582 | −0.816529 | ||||||||
\(254\) | 58.9377 | − | 255.843i | 0.232038 | − | 1.00726i | ||||
\(255\) | −300.300 | − | 42.0671i | −1.17765 | − | 0.164969i | ||||
\(256\) | −60.9844 | + | 248.630i | −0.238220 | + | 0.971211i | ||||
\(257\) | 280.740 | 1.09237 | 0.546186 | − | 0.837664i | \(-0.316079\pi\) | ||||
0.546186 | + | 0.837664i | \(0.316079\pi\) | |||||||
\(258\) | 43.4444 | − | 188.588i | 0.168389 | − | 0.730963i | ||||
\(259\) | 298.385 | + | 353.225i | 1.15207 | + | 1.36380i | ||||
\(260\) | 239.583 | + | 161.113i | 0.921473 | + | 0.619663i | ||||
\(261\) | 261.899i | 1.00344i | ||||||||
\(262\) | −91.8703 | − | 21.1638i | −0.350650 | − | 0.0807779i | ||||
\(263\) | − | 114.489i | − | 0.435318i | −0.976025 | − | 0.217659i | \(-0.930158\pi\) | ||
0.976025 | − | 0.217659i | \(-0.0698421\pi\) | |||||||
\(264\) | 234.518 | + | 189.355i | 0.888327 | + | 0.717252i | ||||
\(265\) | 36.8061 | − | 262.745i | 0.138891 | − | 0.991489i | ||||
\(266\) | −198.837 | − | 386.619i | −0.747507 | − | 1.45346i | ||||
\(267\) | 81.4012 | 0.304874 | ||||||||
\(268\) | −222.749 | − | 108.379i | −0.831152 | − | 0.404399i | ||||
\(269\) | 199.064 | 0.740014 | 0.370007 | − | 0.929029i | \(-0.379355\pi\) | ||||
0.370007 | + | 0.929029i | \(0.379355\pi\) | |||||||
\(270\) | −151.255 | − | 57.9010i | −0.560205 | − | 0.214448i | ||||
\(271\) | 138.300i | 0.510333i | 0.966897 | + | 0.255167i | \(0.0821303\pi\) | ||||
−0.966897 | + | 0.255167i | \(0.917870\pi\) | |||||||
\(272\) | −162.330 | − | 206.958i | −0.596801 | − | 0.760876i | ||||
\(273\) | 240.568 | + | 284.782i | 0.881202 | + | 1.04316i | ||||
\(274\) | −21.6473 | + | 93.9689i | −0.0790046 | + | 0.342952i | ||||
\(275\) | 70.1572 | − | 245.498i | 0.255117 | − | 0.892721i | ||||
\(276\) | −268.402 | − | 130.592i | −0.972471 | − | 0.473159i | ||||
\(277\) | 347.378 | 1.25407 | 0.627035 | − | 0.778991i | \(-0.284268\pi\) | ||||
0.627035 | + | 0.778991i | \(0.284268\pi\) | |||||||
\(278\) | 173.978 | + | 40.0786i | 0.625819 | + | 0.144167i | ||||
\(279\) | − | 118.703i | − | 0.425460i | ||||||
\(280\) | 278.086 | + | 32.6829i | 0.993164 | + | 0.116725i | ||||
\(281\) | −261.441 | −0.930396 | −0.465198 | − | 0.885207i | \(-0.654017\pi\) | ||||
−0.465198 | + | 0.885207i | \(0.654017\pi\) | |||||||
\(282\) | 33.5052 | − | 145.443i | 0.118813 | − | 0.515756i | ||||
\(283\) | 88.8373i | 0.313913i | 0.987606 | + | 0.156956i | \(0.0501682\pi\) | ||||
−0.987606 | + | 0.156956i | \(0.949832\pi\) | |||||||
\(284\) | −91.9008 | − | 44.7146i | −0.323594 | − | 0.157446i | ||||
\(285\) | −567.273 | − | 79.4655i | −1.99043 | − | 0.278826i | ||||
\(286\) | 287.342 | + | 66.1938i | 1.00469 | + | 0.231447i | ||||
\(287\) | −2.69651 | + | 2.27786i | −0.00939551 | + | 0.00793681i | ||||
\(288\) | 62.6612 | + | 133.546i | 0.217574 | + | 0.463700i | ||||
\(289\) | −18.7547 | −0.0648952 | ||||||||
\(290\) | 530.580 | + | 203.108i | 1.82959 | + | 0.700371i | ||||
\(291\) | − | 274.342i | − | 0.942755i | ||||||
\(292\) | 124.887 | + | 60.7643i | 0.427696 | + | 0.208097i | ||||
\(293\) | − | 159.380i | − | 0.543960i | −0.962303 | − | 0.271980i | \(-0.912322\pi\) | ||
0.962303 | − | 0.271980i | \(-0.0876784\pi\) | |||||||
\(294\) | 333.789 | + | 138.903i | 1.13534 | + | 0.472459i | ||||
\(295\) | −41.1932 | + | 294.062i | −0.139638 | + | 0.996822i | ||||
\(296\) | 411.152 | + | 331.972i | 1.38903 | + | 1.12153i | ||||
\(297\) | −165.409 | −0.556934 | ||||||||
\(298\) | −22.2818 | + | 96.7235i | −0.0747713 | + | 0.324576i | ||||
\(299\) | −291.997 | −0.976579 | ||||||||
\(300\) | 246.345 | − | 274.614i | 0.821150 | − | 0.915380i | ||||
\(301\) | −118.483 | − | 140.259i | −0.393631 | − | 0.465977i | ||||
\(302\) | 128.484 | + | 29.5983i | 0.425443 | + | 0.0980076i | ||||
\(303\) | 387.212i | 1.27793i | ||||||||
\(304\) | −306.644 | − | 390.948i | −1.00870 | − | 1.28601i | ||||
\(305\) | −48.2126 | + | 344.171i | −0.158074 | + | 1.12843i | ||||
\(306\) | −147.696 | − | 34.0242i | −0.482667 | − | 0.111190i | ||||
\(307\) | 190.921i | 0.621892i | 0.950428 | + | 0.310946i | \(0.100646\pi\) | ||||
−0.950428 | + | 0.310946i | \(0.899354\pi\) | |||||||
\(308\) | 277.174 | − | 70.3617i | 0.899915 | − | 0.228447i | ||||
\(309\) | − | 218.928i | − | 0.708503i | ||||||
\(310\) | −240.481 | − | 92.0568i | −0.775745 | − | 0.296957i | ||||
\(311\) | 97.1437i | 0.312359i | 0.987729 | + | 0.156180i | \(0.0499179\pi\) | ||||
−0.987729 | + | 0.156180i | \(0.950082\pi\) | |||||||
\(312\) | 331.484 | + | 267.647i | 1.06245 | + | 0.857843i | ||||
\(313\) | −131.747 | −0.420917 | −0.210459 | − | 0.977603i | \(-0.567496\pi\) | ||||
−0.210459 | + | 0.977603i | \(0.567496\pi\) | |||||||
\(314\) | 1.47987 | − | 6.42398i | 0.00471295 | − | 0.0204585i | ||||
\(315\) | 136.507 | − | 86.0127i | 0.433355 | − | 0.273056i | ||||
\(316\) | 231.948 | + | 112.855i | 0.734012 | + | 0.357136i | ||||
\(317\) | 64.5641 | 0.203672 | 0.101836 | − | 0.994801i | \(-0.467528\pi\) | ||||
0.101836 | + | 0.994801i | \(0.467528\pi\) | |||||||
\(318\) | 87.8883 | − | 381.516i | 0.276378 | − | 1.19973i | ||||
\(319\) | 580.230 | 1.81890 | ||||||||
\(320\) | 319.145 | − | 23.3781i | 0.997328 | − | 0.0730564i | ||||
\(321\) | 623.349i | 1.94190i | ||||||||
\(322\) | −251.829 | + | 129.515i | −0.782078 | + | 0.402219i | ||||
\(323\) | 510.498 | 1.58049 | ||||||||
\(324\) | −364.137 | − | 177.172i | −1.12388 | − | 0.546828i | ||||
\(325\) | 99.1650 | − | 347.004i | 0.305123 | − | 1.06771i | ||||
\(326\) | −157.570 | − | 36.2987i | −0.483342 | − | 0.111346i | ||||
\(327\) | −149.625 | −0.457569 | ||||||||
\(328\) | −2.53426 | + | 3.13872i | −0.00772642 | + | 0.00956927i | ||||
\(329\) | −91.3765 | − | 108.171i | −0.277740 | − | 0.328786i | ||||
\(330\) | 134.699 | − | 351.874i | 0.408177 | − | 1.06629i | ||||
\(331\) | 52.7603i | 0.159397i | 0.996819 | + | 0.0796983i | \(0.0253957\pi\) | ||||
−0.996819 | + | 0.0796983i | \(0.974604\pi\) | |||||||
\(332\) | 16.2235 | − | 33.3437i | 0.0488659 | − | 0.100433i | ||||
\(333\) | 304.506 | 0.914432 | ||||||||
\(334\) | −362.211 | − | 83.4411i | −1.08446 | − | 0.249824i | ||||
\(335\) | −42.9566 | + | 306.650i | −0.128229 | + | 0.915374i | ||||
\(336\) | 404.598 | + | 83.7993i | 1.20416 | + | 0.249403i | ||||
\(337\) | 251.074i | 0.745026i | 0.928027 | + | 0.372513i | \(0.121504\pi\) | ||||
−0.928027 | + | 0.372513i | \(0.878496\pi\) | |||||||
\(338\) | 76.7753 | + | 17.6864i | 0.227146 | + | 0.0523267i | ||||
\(339\) | −535.517 | −1.57970 | ||||||||
\(340\) | −183.471 | + | 272.831i | −0.539620 | + | 0.802443i | ||||
\(341\) | −262.984 | −0.771215 | ||||||||
\(342\) | −279.000 | − | 64.2722i | −0.815790 | − | 0.187931i | ||||
\(343\) | 295.333 | − | 174.435i | 0.861028 | − | 0.508558i | ||||
\(344\) | −163.261 | − | 131.820i | −0.474595 | − | 0.383197i | ||||
\(345\) | −51.7608 | + | 369.500i | −0.150031 | + | 1.07101i | ||||
\(346\) | −91.5244 | + | 397.300i | −0.264522 | + | 1.14827i | ||||
\(347\) | −555.781 | −1.60167 | −0.800837 | − | 0.598882i | \(-0.795612\pi\) | ||||
−0.800837 | + | 0.598882i | \(0.795612\pi\) | |||||||
\(348\) | 753.866 | + | 366.796i | 2.16628 | + | 1.05401i | ||||
\(349\) | 202.673 | 0.580726 | 0.290363 | − | 0.956917i | \(-0.406224\pi\) | ||||
0.290363 | + | 0.956917i | \(0.406224\pi\) | |||||||
\(350\) | −68.3894 | − | 343.253i | −0.195398 | − | 0.980724i | ||||
\(351\) | −233.801 | −0.666100 | ||||||||
\(352\) | 295.867 | − | 138.824i | 0.840532 | − | 0.394388i | ||||
\(353\) | 332.885 | 0.943018 | 0.471509 | − | 0.881861i | \(-0.343710\pi\) | ||||
0.471509 | + | 0.881861i | \(0.343710\pi\) | |||||||
\(354\) | −98.3641 | + | 426.990i | −0.277865 | + | 1.20619i | ||||
\(355\) | −17.7229 | + | 126.517i | −0.0499236 | + | 0.356385i | ||||
\(356\) | 38.6150 | − | 79.3644i | 0.108469 | − | 0.222934i | ||||
\(357\) | −324.302 | + | 273.953i | −0.908410 | + | 0.767374i | ||||
\(358\) | 113.361 | − | 492.088i | 0.316650 | − | 1.37455i | ||||
\(359\) | −333.845 | −0.929931 | −0.464965 | − | 0.885329i | \(-0.653933\pi\) | ||||
−0.464965 | + | 0.885329i | \(0.653933\pi\) | |||||||
\(360\) | 134.621 | − | 126.010i | 0.373947 | − | 0.350027i | ||||
\(361\) | 603.340 | 1.67130 | ||||||||
\(362\) | −204.667 | − | 47.1483i | −0.565378 | − | 0.130244i | ||||
\(363\) | 61.5858i | 0.169658i | ||||||||
\(364\) | 391.777 | − | 99.4541i | 1.07631 | − | 0.273226i | ||||
\(365\) | 24.0842 | − | 171.928i | 0.0659842 | − | 0.471035i | ||||
\(366\) | −115.125 | + | 499.749i | −0.314550 | + | 1.36544i | ||||
\(367\) | −330.735 | −0.901184 | −0.450592 | − | 0.892730i | \(-0.648787\pi\) | ||||
−0.450592 | + | 0.892730i | \(0.648787\pi\) | |||||||
\(368\) | −254.648 | + | 199.736i | −0.691980 | + | 0.542761i | ||||
\(369\) | 2.32459i | 0.00629970i | ||||||||
\(370\) | 236.150 | − | 616.898i | 0.638244 | − | 1.66729i | ||||
\(371\) | −239.692 | − | 283.745i | −0.646070 | − | 0.764811i | ||||
\(372\) | −341.683 | − | 166.247i | −0.918503 | − | 0.446901i | ||||
\(373\) | −114.255 | −0.306315 | −0.153157 | − | 0.988202i | \(-0.548944\pi\) | ||||
−0.153157 | + | 0.988202i | \(0.548944\pi\) | |||||||
\(374\) | −75.3797 | + | 327.217i | −0.201550 | + | 0.874912i | ||||
\(375\) | −421.528 | − | 186.997i | −1.12408 | − | 0.498659i | ||||
\(376\) | −125.910 | − | 101.662i | −0.334866 | − | 0.270378i | ||||
\(377\) | 820.138 | 2.17543 | ||||||||
\(378\) | −201.639 | + | 103.702i | −0.533435 | + | 0.274344i | ||||
\(379\) | 355.076i | 0.936877i | 0.883496 | + | 0.468439i | \(0.155183\pi\) | ||||
−0.883496 | + | 0.468439i | \(0.844817\pi\) | |||||||
\(380\) | −346.579 | + | 515.382i | −0.912051 | + | 1.35627i | ||||
\(381\) | −484.283 | −1.27108 | ||||||||
\(382\) | 177.531 | + | 40.8970i | 0.464740 | + | 0.107060i | ||||
\(383\) | −436.582 | −1.13990 | −0.569951 | − | 0.821679i | \(-0.693038\pi\) | ||||
−0.569951 | + | 0.821679i | \(0.693038\pi\) | |||||||
\(384\) | 472.165 | + | 6.66595i | 1.22960 | + | 0.0173593i | ||||
\(385\) | −190.559 | − | 302.427i | −0.494959 | − | 0.785526i | ||||
\(386\) | −56.9148 | + | 247.062i | −0.147448 | + | 0.640058i | ||||
\(387\) | −120.913 | −0.312438 | ||||||||
\(388\) | −267.477 | − | 130.142i | −0.689374 | − | 0.335417i | ||||
\(389\) | − | 639.735i | − | 1.64456i | −0.569080 | − | 0.822282i | \(-0.692701\pi\) | ||
0.569080 | − | 0.822282i | \(-0.307299\pi\) | |||||||
\(390\) | 190.392 | − | 497.364i | 0.488185 | − | 1.27529i | ||||
\(391\) | − | 332.519i | − | 0.850432i | ||||||
\(392\) | 293.770 | − | 259.544i | 0.749413 | − | 0.662103i | ||||
\(393\) | 173.900i | 0.442494i | ||||||||
\(394\) | 614.505 | + | 141.561i | 1.55966 | + | 0.359292i | ||||
\(395\) | 44.7307 | − | 319.315i | 0.113242 | − | 0.808391i | ||||
\(396\) | 82.3939 | − | 169.342i | 0.208065 | − | 0.427632i | ||||
\(397\) | − | 516.755i | − | 1.30165i | −0.759228 | − | 0.650825i | \(-0.774423\pi\) | ||
0.759228 | − | 0.650825i | \(-0.225577\pi\) | |||||||
\(398\) | −136.780 | + | 593.752i | −0.343669 | + | 1.49184i | ||||
\(399\) | −612.613 | + | 517.501i | −1.53537 | + | 1.29700i | ||||
\(400\) | −150.882 | − | 370.452i | −0.377205 | − | 0.926130i | ||||
\(401\) | −261.169 | −0.651295 | −0.325647 | − | 0.945491i | \(-0.605582\pi\) | ||||
−0.325647 | + | 0.945491i | \(0.605582\pi\) | |||||||
\(402\) | −102.575 | + | 445.268i | −0.255161 | + | 1.10763i | ||||
\(403\) | −371.721 | −0.922383 | ||||||||
\(404\) | 377.524 | + | 183.685i | 0.934465 | + | 0.454667i | ||||
\(405\) | −70.2231 | + | 501.295i | −0.173390 | + | 1.23777i | ||||
\(406\) | 707.317 | − | 363.770i | 1.74216 | − | 0.895985i | ||||
\(407\) | − | 674.626i | − | 1.65756i | ||||||
\(408\) | −304.789 | + | 377.486i | −0.747033 | + | 0.925210i | ||||
\(409\) | 94.8415i | 0.231886i | 0.993256 | + | 0.115943i | \(0.0369890\pi\) | ||||
−0.993256 | + | 0.115943i | \(0.963011\pi\) | |||||||
\(410\) | 4.70938 | + | 1.80276i | 0.0114863 | + | 0.00439699i | ||||
\(411\) | 177.873 | 0.432781 | ||||||||
\(412\) | −213.450 | − | 103.855i | −0.518082 | − | 0.252074i | ||||
\(413\) | 268.262 | + | 317.566i | 0.649544 | + | 0.768924i | ||||
\(414\) | −41.8645 | + | 181.730i | −0.101122 | + | 0.438961i | ||||
\(415\) | −45.9031 | − | 6.43026i | −0.110610 | − | 0.0154946i | ||||
\(416\) | 418.199 | − | 196.224i | 1.00529 | − | 0.471693i | ||||
\(417\) | − | 329.320i | − | 0.789737i | ||||||
\(418\) | −142.394 | + | 618.119i | −0.340655 | + | 1.47875i | ||||
\(419\) | −46.0965 | −0.110016 | −0.0550078 | − | 0.998486i | \(-0.517518\pi\) | ||||
−0.0550078 | + | 0.998486i | \(0.517518\pi\) | |||||||
\(420\) | −56.4033 | − | 513.393i | −0.134293 | − | 1.22236i | ||||
\(421\) | 710.750i | 1.68824i | 0.536153 | + | 0.844121i | \(0.319877\pi\) | ||||
−0.536153 | + | 0.844121i | \(0.680123\pi\) | |||||||
\(422\) | 53.5928 | − | 232.642i | 0.126997 | − | 0.551283i | ||||
\(423\) | −93.2508 | −0.220451 | ||||||||
\(424\) | −330.277 | − | 266.672i | −0.778955 | − | 0.628944i | ||||
\(425\) | 395.159 | + | 112.926i | 0.929787 | + | 0.265709i | ||||
\(426\) | −42.3199 | + | 183.707i | −0.0993425 | + | 0.431237i | ||||
\(427\) | 313.974 | + | 371.679i | 0.735301 | + | 0.870442i | ||||
\(428\) | 607.752 | + | 295.704i | 1.41998 | + | 0.690897i | ||||
\(429\) | − | 543.906i | − | 1.26785i | ||||||
\(430\) | −93.7707 | + | 244.958i | −0.218071 | + | 0.569671i | ||||
\(431\) | 411.504 | 0.954766 | 0.477383 | − | 0.878695i | \(-0.341585\pi\) | ||||
0.477383 | + | 0.878695i | \(0.341585\pi\) | |||||||
\(432\) | −203.896 | + | 159.928i | −0.471982 | + | 0.370204i | ||||
\(433\) | −329.582 | −0.761159 | −0.380580 | − | 0.924748i | \(-0.624275\pi\) | ||||
−0.380580 | + | 0.924748i | \(0.624275\pi\) | |||||||
\(434\) | −320.585 | + | 164.876i | −0.738676 | + | 0.379898i | ||||
\(435\) | 145.381 | − | 1037.82i | 0.334210 | − | 2.38579i | ||||
\(436\) | −70.9789 | + | 145.881i | −0.162796 | + | 0.334590i | ||||
\(437\) | − | 628.134i | − | 1.43738i | ||||||
\(438\) | 57.5100 | − | 249.646i | 0.131301 | − | 0.569968i | ||||
\(439\) | 370.448i | 0.843844i | 0.906632 | + | 0.421922i | \(0.138644\pi\) | ||||
−0.906632 | + | 0.421922i | \(0.861356\pi\) | |||||||
\(440\) | −279.172 | − | 298.250i | −0.634482 | − | 0.677841i | ||||
\(441\) | 37.7537 | − | 222.706i | 0.0856093 | − | 0.505002i | ||||
\(442\) | −106.547 | + | 462.511i | −0.241057 | + | 1.04641i | ||||
\(443\) | −203.437 | −0.459226 | −0.229613 | − | 0.973282i | \(-0.573746\pi\) | ||||
−0.229613 | + | 0.973282i | \(0.573746\pi\) | |||||||
\(444\) | 426.468 | − | 876.509i | 0.960514 | − | 1.97412i | ||||
\(445\) | −109.258 | − | 15.3053i | −0.245524 | − | 0.0343938i | ||||
\(446\) | 440.367 | + | 101.446i | 0.987370 | + | 0.227457i | ||||
\(447\) | 183.087 | 0.409590 | ||||||||
\(448\) | 273.635 | − | 354.722i | 0.610793 | − | 0.791790i | ||||
\(449\) | 274.557 | 0.611485 | 0.305742 | − | 0.952114i | \(-0.401095\pi\) | ||||
0.305742 | + | 0.952114i | \(0.401095\pi\) | |||||||
\(450\) | −201.747 | − | 111.468i | −0.448327 | − | 0.247707i | ||||
\(451\) | 5.15007 | 0.0114192 | ||||||||
\(452\) | −254.038 | + | 522.118i | −0.562031 | + | 1.15513i | ||||
\(453\) | − | 243.205i | − | 0.536877i | ||||||
\(454\) | −104.918 | + | 455.438i | −0.231096 | + | 1.00317i | ||||
\(455\) | −269.350 | − | 427.472i | −0.591977 | − | 0.939499i | ||||
\(456\) | −575.752 | + | 713.077i | −1.26262 | + | 1.56377i | ||||
\(457\) | 186.534i | 0.408170i | 0.978953 | + | 0.204085i | \(0.0654219\pi\) | ||||
−0.978953 | + | 0.204085i | \(0.934578\pi\) | |||||||
\(458\) | −799.120 | − | 184.090i | −1.74480 | − | 0.401944i | ||||
\(459\) | − | 266.247i | − | 0.580058i | ||||||
\(460\) | 335.700 | + | 225.748i | 0.729783 | + | 0.490758i | ||||
\(461\) | −501.181 | −1.08716 | −0.543580 | − | 0.839357i | \(-0.682932\pi\) | ||||
−0.543580 | + | 0.839357i | \(0.682932\pi\) | |||||||
\(462\) | −241.248 | − | 469.084i | −0.522182 | − | 1.01533i | ||||
\(463\) | − | 160.592i | − | 0.346850i | −0.984847 | − | 0.173425i | \(-0.944517\pi\) | ||
0.984847 | − | 0.173425i | \(-0.0554835\pi\) | |||||||
\(464\) | 715.236 | − | 561.003i | 1.54146 | − | 1.20906i | ||||
\(465\) | −65.8929 | + | 470.383i | −0.141705 | + | 1.01158i | ||||
\(466\) | 87.7136 | − | 380.757i | 0.188227 | − | 0.817076i | ||||
\(467\) | − | 340.763i | − | 0.729686i | −0.931069 | − | 0.364843i | \(-0.881123\pi\) | ||
0.931069 | − | 0.364843i | \(-0.118877\pi\) | |||||||
\(468\) | 116.461 | − | 239.360i | 0.248849 | − | 0.511453i | ||||
\(469\) | 279.745 | + | 331.160i | 0.596472 | + | 0.706097i | ||||
\(470\) | −72.3179 | + | 188.917i | −0.153868 | + | 0.401951i | ||||
\(471\) | −12.1599 | −0.0258171 | ||||||||
\(472\) | 369.644 | + | 298.458i | 0.783145 | + | 0.632326i | ||||
\(473\) | 267.881i | 0.566344i | ||||||||
\(474\) | 106.811 | − | 463.657i | 0.225340 | − | 0.978180i | ||||
\(475\) | 746.463 | + | 213.320i | 1.57150 | + | 0.449095i | ||||
\(476\) | 113.256 | + | 446.145i | 0.237932 | + | 0.937280i | ||||
\(477\) | −244.609 | −0.512806 | ||||||||
\(478\) | 2.20301 | + | 0.507499i | 0.00460881 | + | 0.00106171i | ||||
\(479\) | − | 784.653i | − | 1.63811i | −0.573717 | − | 0.819053i | \(-0.694499\pi\) | ||
0.573717 | − | 0.819053i | \(-0.305501\pi\) | |||||||
\(480\) | −174.174 | − | 563.982i | −0.362863 | − | 1.17496i | ||||
\(481\) | − | 953.563i | − | 1.98246i | ||||||
\(482\) | 82.9367 | − | 360.021i | 0.172068 | − | 0.746931i | ||||
\(483\) | 337.080 | + | 399.032i | 0.697889 | + | 0.826154i | ||||
\(484\) | 60.0448 | + | 29.2150i | 0.124060 | + | 0.0603616i | ||||
\(485\) | −51.5824 | + | 368.226i | −0.106355 | + | 0.759230i | ||||
\(486\) | −102.240 | + | 443.814i | −0.210370 | + | 0.913198i | ||||
\(487\) | 195.648i | 0.401741i | 0.979618 | + | 0.200871i | \(0.0643771\pi\) | ||||
−0.979618 | + | 0.200871i | \(0.935623\pi\) | |||||||
\(488\) | 432.632 | + | 349.315i | 0.886541 | + | 0.715810i | ||||
\(489\) | 298.262i | 0.609942i | ||||||||
\(490\) | −421.901 | − | 249.198i | −0.861022 | − | 0.508567i | ||||
\(491\) | − | 153.533i | − | 0.312694i | −0.987702 | − | 0.156347i | \(-0.950028\pi\) | ||
0.987702 | − | 0.156347i | \(-0.0499718\pi\) | |||||||
\(492\) | 6.69124 | + | 3.25565i | 0.0136001 | + | 0.00661717i | ||||
\(493\) | 933.952i | 1.89443i | ||||||||
\(494\) | −201.269 | + | 873.692i | −0.407427 | + | 1.76861i | ||||
\(495\) | −233.127 | − | 32.6573i | −0.470964 | − | 0.0659743i | ||||
\(496\) | −324.175 | + | 254.270i | −0.653578 | + | 0.512640i | ||||
\(497\) | 115.416 | + | 136.629i | 0.232226 | + | 0.274907i | ||||
\(498\) | −66.6531 | − | 15.3546i | −0.133842 | − | 0.0308326i | ||||
\(499\) | 636.233i | 1.27502i | 0.770443 | + | 0.637509i | \(0.220035\pi\) | ||||
−0.770443 | + | 0.637509i | \(0.779965\pi\) | |||||||
\(500\) | −382.282 | + | 322.274i | −0.764565 | + | 0.644547i | ||||
\(501\) | 685.625i | 1.36851i | ||||||||
\(502\) | 313.832 | + | 72.2963i | 0.625164 | + | 0.144017i | ||||
\(503\) | −48.3325 | −0.0960885 | −0.0480442 | − | 0.998845i | \(-0.515299\pi\) | ||||
−0.0480442 | + | 0.998845i | \(0.515299\pi\) | |||||||
\(504\) | −5.72701 | − | 258.089i | −0.0113631 | − | 0.512081i | ||||
\(505\) | 72.8046 | − | 519.724i | 0.144168 | − | 1.02916i | ||||
\(506\) | 402.619 | + | 92.7498i | 0.795689 | + | 0.183300i | ||||
\(507\) | − | 145.327i | − | 0.286641i | ||||||
\(508\) | −229.734 | + | 472.166i | −0.452232 | + | 0.929460i | ||||
\(509\) | −243.531 | −0.478449 | −0.239225 | − | 0.970964i | \(-0.576893\pi\) | ||||
−0.239225 | + | 0.970964i | \(0.576893\pi\) | |||||||
\(510\) | 566.385 | + | 216.814i | 1.11056 | + | 0.425125i | ||||
\(511\) | −156.843 | − | 185.669i | −0.306934 | − | 0.363345i | ||||
\(512\) | 230.484 | − | 457.188i | 0.450164 | − | 0.892946i | ||||
\(513\) | − | 502.945i | − | 0.980399i | ||||||
\(514\) | −547.149 | − | 126.045i | −1.06449 | − | 0.245223i | ||||
\(515\) | −41.1633 | + | 293.849i | −0.0799287 | + | 0.570580i | ||||
\(516\) | −169.342 | + | 348.045i | −0.328183 | + | 0.674505i | ||||
\(517\) | 206.595i | 0.399604i | ||||||||
\(518\) | −422.950 | − | 822.387i | −0.816507 | − | 1.58762i | ||||
\(519\) | 752.044 | 1.44903 | ||||||||
\(520\) | −394.601 | − | 421.567i | −0.758848 | − | 0.810706i | ||||
\(521\) | 630.569i | 1.21030i | 0.796110 | + | 0.605152i | \(0.206888\pi\) | ||||
−0.796110 | + | 0.605152i | \(0.793112\pi\) | |||||||
\(522\) | 117.585 | − | 510.428i | 0.225260 | − | 0.977832i | ||||
\(523\) | − | 829.843i | − | 1.58670i | −0.608767 | − | 0.793349i | \(-0.708336\pi\) | ||
0.608767 | − | 0.793349i | \(-0.291664\pi\) | |||||||
\(524\) | 169.549 | + | 82.4946i | 0.323567 | + | 0.157432i | ||||
\(525\) | −588.679 | + | 265.065i | −1.12129 | + | 0.504886i | ||||
\(526\) | −51.4024 | + | 223.133i | −0.0977231 | + | 0.424208i | ||||
\(527\) | − | 423.306i | − | 0.803236i | ||||||
\(528\) | −372.050 | − | 474.336i | −0.704641 | − | 0.898363i | ||||
\(529\) | 119.858 | 0.226574 | ||||||||
\(530\) | −189.699 | + | 495.552i | −0.357922 | + | 0.935004i | ||||
\(531\) | 273.765 | 0.515564 | ||||||||
\(532\) | 213.942 | + | 842.776i | 0.402147 | + | 1.58417i | ||||
\(533\) | 7.27947 | 0.0136575 | ||||||||
\(534\) | −158.647 | − | 36.5470i | −0.297092 | − | 0.0684400i | ||||
\(535\) | 117.204 | − | 836.671i | 0.219072 | − | 1.56387i | ||||
\(536\) | 385.468 | + | 311.234i | 0.719156 | + | 0.580660i | ||||
\(537\) | −931.469 | −1.73458 | ||||||||
\(538\) | −387.966 | − | 89.3743i | −0.721126 | − | 0.166123i | ||||
\(539\) | −493.400 | − | 83.6425i | −0.915398 | − | 0.155181i | ||||
\(540\) | 268.794 | + | 180.756i | 0.497766 | + | 0.334733i | ||||
\(541\) | − | 120.015i | − | 0.221840i | −0.993829 | − | 0.110920i | \(-0.964620\pi\) | ||
0.993829 | − | 0.110920i | \(-0.0353797\pi\) | |||||||
\(542\) | 62.0931 | − | 269.541i | 0.114563 | − | 0.497308i | ||||
\(543\) | 387.412i | 0.713465i | ||||||||
\(544\) | 223.455 | + | 476.234i | 0.410763 | + | 0.875431i | ||||
\(545\) | 200.829 | + | 28.1329i | 0.368494 | + | 0.0516199i | ||||
\(546\) | −340.997 | − | 663.036i | −0.624536 | − | 1.21435i | ||||
\(547\) | −634.970 | −1.16082 | −0.580411 | − | 0.814324i | \(-0.697108\pi\) | ||||
−0.580411 | + | 0.814324i | \(0.697108\pi\) | |||||||
\(548\) | 84.3791 | − | 173.422i | 0.153976 | − | 0.316464i | ||||
\(549\) | 320.414 | 0.583632 | ||||||||
\(550\) | −246.955 | + | 446.966i | −0.449009 | + | 0.812666i | ||||
\(551\) | 1764.25i | 3.20191i | ||||||||
\(552\) | 464.471 | + | 375.023i | 0.841433 | + | 0.679389i | ||||
\(553\) | −291.298 | − | 344.836i | −0.526760 | − | 0.623573i | ||||
\(554\) | −677.023 | − | 155.963i | −1.22206 | − | 0.281522i | ||||
\(555\) | −1206.66 | − | 169.033i | −2.17416 | − | 0.304564i | ||||
\(556\) | −321.080 | − | 156.223i | −0.577482 | − | 0.280976i | ||||
\(557\) | −113.560 | −0.203877 | −0.101939 | − | 0.994791i | \(-0.532505\pi\) | ||||
−0.101939 | + | 0.994791i | \(0.532505\pi\) | |||||||
\(558\) | −53.2946 | + | 231.347i | −0.0955100 | + | 0.414601i | ||||
\(559\) | 378.641i | 0.677355i | ||||||||
\(560\) | −527.303 | − | 188.551i | −0.941613 | − | 0.336698i | ||||
\(561\) | 619.386 | 1.10407 | ||||||||
\(562\) | 509.537 | + | 117.380i | 0.906650 | + | 0.208861i | ||||
\(563\) | 964.206i | 1.71262i | 0.516461 | + | 0.856311i | \(0.327249\pi\) | ||||
−0.516461 | + | 0.856311i | \(0.672751\pi\) | |||||||
\(564\) | −130.600 | + | 268.419i | −0.231561 | + | 0.475920i | ||||
\(565\) | 718.781 | + | 100.689i | 1.27218 | + | 0.178211i | ||||
\(566\) | 39.8856 | − | 173.140i | 0.0704692 | − | 0.305901i | ||||
\(567\) | 457.312 | + | 541.362i | 0.806547 | + | 0.954782i | ||||
\(568\) | 159.035 | + | 128.408i | 0.279991 | + | 0.226070i | ||||
\(569\) | −761.751 | −1.33875 | −0.669377 | − | 0.742923i | \(-0.733439\pi\) | ||||
−0.669377 | + | 0.742923i | \(0.733439\pi\) | |||||||
\(570\) | 1069.91 | + | 409.565i | 1.87704 | + | 0.718535i | ||||
\(571\) | 35.8939i | 0.0628614i | 0.999506 | + | 0.0314307i | \(0.0100064\pi\) | ||||
−0.999506 | + | 0.0314307i | \(0.989994\pi\) | |||||||
\(572\) | −530.296 | − | 258.017i | −0.927092 | − | 0.451079i | ||||
\(573\) | − | 336.046i | − | 0.586467i | ||||||
\(574\) | 6.27808 | − | 3.22879i | 0.0109374 | − | 0.00562507i | ||||
\(575\) | 138.949 | − | 486.217i | 0.241650 | − | 0.845595i | ||||
\(576\) | −62.1654 | − | 288.407i | −0.107926 | − | 0.500707i | ||||
\(577\) | 714.079 | 1.23757 | 0.618786 | − | 0.785559i | \(-0.287625\pi\) | ||||
0.618786 | + | 0.785559i | \(0.287625\pi\) | |||||||
\(578\) | 36.5521 | + | 8.42036i | 0.0632389 | + | 0.0145681i | ||||
\(579\) | 467.661 | 0.807705 | ||||||||
\(580\) | −942.887 | − | 634.064i | −1.62567 | − | 1.09321i | ||||
\(581\) | −49.5720 | + | 41.8756i | −0.0853218 | + | 0.0720751i | ||||
\(582\) | −123.172 | + | 534.679i | −0.211636 | + | 0.918693i | ||||
\(583\) | 541.925i | 0.929545i | ||||||||
\(584\) | −216.118 | − | 174.498i | −0.370065 | − | 0.298798i | ||||
\(585\) | −329.518 | − | 46.1600i | −0.563279 | − | 0.0789060i | ||||
\(586\) | −71.5574 | + | 310.625i | −0.122112 | + | 0.530076i | ||||
\(587\) | 785.786i | 1.33865i | 0.742971 | + | 0.669323i | \(0.233416\pi\) | ||||
−0.742971 | + | 0.669323i | \(0.766584\pi\) | |||||||
\(588\) | −588.176 | − | 420.578i | −1.00030 | − | 0.715269i | ||||
\(589\) | − | 799.632i | − | 1.35761i | ||||||
\(590\) | 212.310 | − | 554.620i | 0.359847 | − | 0.940033i | ||||
\(591\) | − | 1163.19i | − | 1.96817i | ||||||
\(592\) | −652.270 | − | 831.595i | −1.10181 | − | 1.40472i | ||||
\(593\) | −618.608 | −1.04318 | −0.521592 | − | 0.853195i | \(-0.674662\pi\) | ||||
−0.521592 | + | 0.853195i | \(0.674662\pi\) | |||||||
\(594\) | 322.375 | + | 74.2644i | 0.542720 | + | 0.125024i | ||||
\(595\) | 486.794 | − | 306.728i | 0.818141 | − | 0.515509i | ||||
\(596\) | 86.8525 | − | 178.506i | 0.145726 | − | 0.299506i | ||||
\(597\) | 1123.91 | 1.88259 | ||||||||
\(598\) | 569.089 | + | 131.099i | 0.951654 | + | 0.219229i | ||||
\(599\) | −218.429 | −0.364656 | −0.182328 | − | 0.983238i | \(-0.558363\pi\) | ||||
−0.182328 | + | 0.983238i | \(0.558363\pi\) | |||||||
\(600\) | −603.409 | + | 424.608i | −1.00568 | + | 0.707680i | ||||
\(601\) | 810.310i | 1.34827i | 0.738609 | + | 0.674135i | \(0.235483\pi\) | ||||
−0.738609 | + | 0.674135i | \(0.764517\pi\) | |||||||
\(602\) | 167.945 | + | 326.554i | 0.278979 | + | 0.542449i | ||||
\(603\) | 285.484 | 0.473439 | ||||||||
\(604\) | −237.120 | − | 115.371i | −0.392583 | − | 0.191012i | ||||
\(605\) | 11.5795 | − | 82.6616i | 0.0191397 | − | 0.136631i | ||||
\(606\) | 173.848 | − | 754.659i | 0.286878 | − | 1.24531i | ||||
\(607\) | 223.586 | 0.368346 | 0.184173 | − | 0.982894i | \(-0.441039\pi\) | ||||
0.184173 | + | 0.982894i | \(0.441039\pi\) | |||||||
\(608\) | 422.110 | + | 899.615i | 0.694260 | + | 1.47963i | ||||
\(609\) | −946.764 | − | 1120.77i | −1.55462 | − | 1.84034i | ||||
\(610\) | 248.488 | − | 649.127i | 0.407357 | − | 1.06414i | ||||
\(611\) | 292.016i | 0.477931i | ||||||||
\(612\) | 272.577 | + | 132.623i | 0.445387 | + | 0.216704i | ||||
\(613\) | −416.624 | −0.679648 | −0.339824 | − | 0.940489i | \(-0.610368\pi\) | ||||
−0.339824 | + | 0.940489i | \(0.610368\pi\) | |||||||
\(614\) | 85.7183 | − | 372.096i | 0.139606 | − | 0.606020i | ||||
\(615\) | 1.29039 | − | 9.21160i | 0.00209820 | − | 0.0149782i | ||||
\(616\) | −571.790 | + | 12.6881i | −0.928230 | + | 0.0205975i | ||||
\(617\) | 633.821i | 1.02726i | 0.858011 | + | 0.513631i | \(0.171700\pi\) | ||||
−0.858011 | + | 0.513631i | \(0.828300\pi\) | |||||||
\(618\) | −98.2926 | + | 426.680i | −0.159050 | + | 0.690420i | ||||
\(619\) | −891.451 | −1.44015 | −0.720073 | − | 0.693898i | \(-0.755892\pi\) | ||||
−0.720073 | + | 0.693898i | \(0.755892\pi\) | |||||||
\(620\) | 427.355 | + | 287.384i | 0.689283 | + | 0.463523i | ||||
\(621\) | −327.599 | −0.527534 | ||||||||
\(622\) | 43.6149 | − | 189.329i | 0.0701205 | − | 0.304387i | ||||
\(623\) | −117.991 | + | 99.6721i | −0.189391 | + | 0.159987i | ||||
\(624\) | −525.882 | − | 670.459i | −0.842759 | − | 1.07445i | ||||
\(625\) | 530.624 | + | 330.248i | 0.848998 | + | 0.528397i | ||||
\(626\) | 256.769 | + | 59.1509i | 0.410174 | + | 0.0944902i | ||||
\(627\) | 1170.03 | 1.86608 | ||||||||
\(628\) | −5.76839 | + | 11.8556i | −0.00918533 | + | 0.0188784i | ||||
\(629\) | 1085.89 | 1.72638 | ||||||||
\(630\) | −304.663 | + | 106.347i | −0.483592 | + | 0.168805i | ||||
\(631\) | −139.865 | −0.221656 | −0.110828 | − | 0.993840i | \(-0.535350\pi\) | ||||
−0.110828 | + | 0.993840i | \(0.535350\pi\) | |||||||
\(632\) | −401.387 | − | 324.088i | −0.635106 | − | 0.512797i | ||||
\(633\) | −440.365 | −0.695679 | ||||||||
\(634\) | −125.833 | − | 28.9876i | −0.198474 | − | 0.0457217i | ||||
\(635\) | 650.014 | + | 91.0561i | 1.02364 | + | 0.143395i | ||||
\(636\) | −342.581 | + | 704.097i | −0.538649 | + | 1.10707i | ||||
\(637\) | −697.405 | − | 118.226i | −1.09483 | − | 0.185598i | ||||
\(638\) | −1130.84 | − | 260.508i | −1.77248 | − | 0.408320i | ||||
\(639\) | 117.784 | 0.184325 | ||||||||
\(640\) | −632.495 | − | 97.7248i | −0.988273 | − | 0.152695i | ||||
\(641\) | −500.317 | −0.780525 | −0.390263 | − | 0.920704i | \(-0.627616\pi\) | ||||
−0.390263 | + | 0.920704i | \(0.627616\pi\) | |||||||
\(642\) | 279.867 | − | 1214.88i | 0.435930 | − | 1.89234i | ||||
\(643\) | − | 1189.12i | − | 1.84933i | −0.380788 | − | 0.924663i | \(-0.624347\pi\) | ||
0.380788 | − | 0.924663i | \(-0.375653\pi\) | |||||||
\(644\) | 548.952 | − | 139.354i | 0.852410 | − | 0.216388i | ||||
\(645\) | 479.141 | + | 67.1197i | 0.742854 | + | 0.104062i | ||||
\(646\) | −994.938 | − | 229.200i | −1.54015 | − | 0.354799i | ||||
\(647\) | −1020.39 | −1.57711 | −0.788555 | − | 0.614964i | \(-0.789171\pi\) | ||||
−0.788555 | + | 0.614964i | \(0.789171\pi\) | |||||||
\(648\) | 630.141 | + | 508.788i | 0.972440 | + | 0.785167i | ||||
\(649\) | − | 606.519i | − | 0.934544i | ||||||
\(650\) | −349.064 | + | 631.773i | −0.537021 | + | 0.971959i | ||||
\(651\) | 429.113 | + | 507.979i | 0.659159 | + | 0.780306i | ||||
\(652\) | 290.799 | + | 141.489i | 0.446010 | + | 0.217008i | ||||
\(653\) | 155.938 | 0.238802 | 0.119401 | − | 0.992846i | \(-0.461903\pi\) | ||||
0.119401 | + | 0.992846i | \(0.461903\pi\) | |||||||
\(654\) | 291.612 | + | 67.1776i | 0.445890 | + | 0.102718i | ||||
\(655\) | 32.6972 | − | 233.412i | 0.0499193 | − | 0.356354i | ||||
\(656\) | 6.34837 | − | 4.97941i | 0.00967739 | − | 0.00759056i | ||||
\(657\) | −160.060 | −0.243623 | ||||||||
\(658\) | 129.523 | + | 251.845i | 0.196843 | + | 0.382743i | ||||
\(659\) | 220.018i | 0.333866i | 0.985968 | + | 0.166933i | \(0.0533864\pi\) | ||||
−0.985968 | + | 0.166933i | \(0.946614\pi\) | |||||||
\(660\) | −420.504 | + | 625.311i | −0.637127 | + | 0.947441i | ||||
\(661\) | 948.923 | 1.43559 | 0.717794 | − | 0.696256i | \(-0.245152\pi\) | ||||
0.717794 | + | 0.696256i | \(0.245152\pi\) | |||||||
\(662\) | 23.6880 | − | 102.827i | 0.0357824 | − | 0.155328i | ||||
\(663\) | 875.483 | 1.32049 | ||||||||
\(664\) | −46.5893 | + | 57.7014i | −0.0701645 | + | 0.0868998i | ||||
\(665\) | 919.562 | − | 579.415i | 1.38280 | − | 0.871301i | ||||
\(666\) | −593.468 | − | 136.715i | −0.891093 | − | 0.205278i | ||||
\(667\) | 1149.17 | 1.72289 | ||||||||
\(668\) | 668.470 | + | 325.246i | 1.00070 | + | 0.486895i | ||||
\(669\) | − | 833.566i | − | 1.24599i | ||||||
\(670\) | 221.398 | − | 578.361i | 0.330445 | − | 0.863225i | ||||
\(671\) | − | 709.870i | − | 1.05793i | ||||||
\(672\) | −750.920 | − | 344.975i | −1.11744 | − | 0.513355i | ||||
\(673\) | − | 745.489i | − | 1.10771i | −0.832613 | − | 0.553855i | \(-0.813156\pi\) | ||
0.832613 | − | 0.553855i | \(-0.186844\pi\) | |||||||
\(674\) | 112.725 | − | 489.332i | 0.167248 | − | 0.726011i | ||||
\(675\) | 111.256 | − | 389.312i | 0.164823 | − | 0.576759i | ||||
\(676\) | −141.691 | − | 68.9401i | −0.209602 | − | 0.101982i | ||||
\(677\) | 8.12211i | 0.0119972i | 0.999982 | + | 0.00599860i | \(0.00190943\pi\) | ||||
−0.999982 | + | 0.00599860i | \(0.998091\pi\) | |||||||
\(678\) | 1043.70 | + | 240.433i | 1.53938 | + | 0.354621i | ||||
\(679\) | 335.919 | + | 397.657i | 0.494726 | + | 0.585652i | ||||
\(680\) | 480.070 | − | 449.361i | 0.705985 | − | 0.660825i | ||||
\(681\) | 862.094 | 1.26592 | ||||||||
\(682\) | 512.545 | + | 118.073i | 0.751532 | + | 0.173128i | ||||
\(683\) | 476.643 | 0.697867 | 0.348934 | − | 0.937147i | \(-0.386544\pi\) | ||||
0.348934 | + | 0.937147i | \(0.386544\pi\) | |||||||
\(684\) | 514.902 | + | 250.527i | 0.752781 | + | 0.366268i | ||||
\(685\) | −238.744 | − | 33.4441i | −0.348532 | − | 0.0488235i | ||||
\(686\) | −653.907 | + | 207.370i | −0.953217 | + | 0.302288i | ||||
\(687\) | 1512.65i | 2.20181i | ||||||||
\(688\) | 259.004 | + | 330.210i | 0.376459 | + | 0.479957i | ||||
\(689\) | 765.994i | 1.11175i | ||||||||
\(690\) | 266.775 | − | 696.899i | 0.386630 | − | 1.01000i | ||||
\(691\) | 85.4900 | 0.123719 | 0.0618596 | − | 0.998085i | \(-0.480297\pi\) | ||||
0.0618596 | + | 0.998085i | \(0.480297\pi\) | |||||||
\(692\) | 356.754 | − | 733.227i | 0.515540 | − | 1.05958i | ||||
\(693\) | −251.760 | + | 212.673i | −0.363290 | + | 0.306888i | ||||
\(694\) | 1083.19 | + | 249.531i | 1.56079 | + | 0.359554i | ||||
\(695\) | −61.9196 | + | 442.020i | −0.0890930 | + | 0.636000i | ||||
\(696\) | −1304.57 | − | 1053.33i | −1.87438 | − | 1.51341i | ||||
\(697\) | 8.28967i | 0.0118934i | ||||||||
\(698\) | −395.001 | − | 90.9949i | −0.565904 | − | 0.130365i | ||||
\(699\) | −720.731 | −1.03109 | ||||||||
\(700\) | −20.8239 | + | 699.690i | −0.0297484 | + | 0.999557i | ||||
\(701\) | − | 23.5524i | − | 0.0335982i | −0.999859 | − | 0.0167991i | \(-0.994652\pi\) | ||
0.999859 | − | 0.0167991i | \(-0.00534758\pi\) | |||||||
\(702\) | 455.668 | + | 104.970i | 0.649099 | + | 0.149531i | ||||
\(703\) | 2051.27 | 2.91788 | ||||||||
\(704\) | −638.960 | + | 137.726i | −0.907614 | + | 0.195634i | ||||
\(705\) | 369.523 | + | 51.7641i | 0.524146 | + | 0.0734242i | ||||
\(706\) | −648.778 | − | 149.457i | −0.918949 | − | 0.211695i | ||||
\(707\) | −474.124 | − | 561.263i | −0.670614 | − | 0.793866i | ||||
\(708\) | 383.414 | − | 788.022i | 0.541546 | − | 1.11302i | ||||
\(709\) | 358.652i | 0.505856i | 0.967485 | + | 0.252928i | \(0.0813935\pi\) | ||||
−0.967485 | + | 0.252928i | \(0.918606\pi\) | |||||||
\(710\) | 91.3436 | − | 238.618i | 0.128653 | − | 0.336082i | ||||
\(711\) | −297.274 | −0.418106 | ||||||||
\(712\) | −110.891 | + | 137.341i | −0.155746 | + | 0.192894i | ||||
\(713\) | −520.849 | −0.730504 | ||||||||
\(714\) | 755.048 | − | 388.318i | 1.05749 | − | 0.543863i | ||||
\(715\) | −102.267 | + | 730.040i | −0.143030 | + | 1.02104i | ||||
\(716\) | −441.869 | + | 908.162i | −0.617136 | + | 1.26838i | ||||
\(717\) | − | 4.17005i | − | 0.00581598i | ||||||
\(718\) | 650.649 | + | 149.888i | 0.906196 | + | 0.208757i | ||||
\(719\) | 209.881i | 0.291906i | 0.989292 | + | 0.145953i | \(0.0466249\pi\) | ||||
−0.989292 | + | 0.145953i | \(0.953375\pi\) | |||||||
\(720\) | −318.945 | + | 185.146i | −0.442980 | + | 0.257147i | ||||
\(721\) | 268.067 | + | 317.335i | 0.371799 | + | 0.440132i | ||||
\(722\) | −1175.88 | − | 270.884i | −1.62865 | − | 0.375185i | ||||
\(723\) | −681.480 | −0.942572 | ||||||||
\(724\) | 377.718 | + | 183.780i | 0.521710 | + | 0.253840i | ||||
\(725\) | −390.267 | + | 1365.65i | −0.538300 | + | 1.88365i | ||||
\(726\) | 27.6504 | − | 120.028i | 0.0380859 | − | 0.165328i | ||||
\(727\) | 1.50873 | 0.00207528 | 0.00103764 | − | 0.999999i | \(-0.499670\pi\) | ||||
0.00103764 | + | 0.999999i | \(0.499670\pi\) | |||||||
\(728\) | −808.207 | + | 17.9342i | −1.11017 | + | 0.0246349i | ||||
\(729\) | −71.0498 | −0.0974620 | ||||||||
\(730\) | −124.130 | + | 324.266i | −0.170041 | + | 0.444200i | ||||
\(731\) | −431.187 | −0.589859 | ||||||||
\(732\) | 448.748 | − | 922.301i | 0.613044 | − | 1.25997i | ||||
\(733\) | − | 530.040i | − | 0.723111i | −0.932351 | − | 0.361555i | \(-0.882246\pi\) | ||
0.932351 | − | 0.361555i | \(-0.117754\pi\) | |||||||
\(734\) | 644.587 | + | 148.491i | 0.878184 | + | 0.202304i | ||||
\(735\) | −273.231 | + | 861.555i | −0.371743 | + | 1.17218i | ||||
\(736\) | 585.975 | − | 274.946i | 0.796161 | − | 0.373568i | ||||
\(737\) | − | 632.482i | − | 0.858185i | ||||||
\(738\) | 1.04368 | − | 4.53052i | 0.00141420 | − | 0.00613891i | ||||
\(739\) | 890.676i | 1.20524i | 0.798026 | + | 0.602622i | \(0.205877\pi\) | ||||
−0.798026 | + | 0.602622i | \(0.794123\pi\) | |||||||
\(740\) | −737.217 | + | 1096.28i | −0.996239 | + | 1.48146i | ||||
\(741\) | 1653.80 | 2.23185 | ||||||||
\(742\) | 339.755 | + | 660.621i | 0.457890 | + | 0.890325i | ||||
\(743\) | 912.740i | 1.22845i | 0.789130 | + | 0.614226i | \(0.210532\pi\) | ||||
−0.789130 | + | 0.614226i | \(0.789468\pi\) | |||||||
\(744\) | 591.285 | + | 477.414i | 0.794737 | + | 0.641686i | ||||
\(745\) | −245.743 | − | 34.4245i | −0.329856 | − | 0.0462073i | ||||
\(746\) | 222.679 | + | 51.2977i | 0.298497 | + | 0.0687636i | ||||
\(747\) | 42.7346i | 0.0572083i | ||||||||
\(748\) | 293.823 | − | 603.888i | 0.392812 | − | 0.807336i | ||||
\(749\) | −763.263 | − | 903.543i | −1.01904 | − | 1.20633i | ||||
\(750\) | 737.583 | + | 553.704i | 0.983444 | + | 0.738272i | ||||
\(751\) | 910.503 | 1.21239 | 0.606194 | − | 0.795317i | \(-0.292696\pi\) | ||||
0.606194 | + | 0.795317i | \(0.292696\pi\) | |||||||
\(752\) | 199.749 | + | 254.665i | 0.265624 | + | 0.338650i | ||||
\(753\) | − | 594.049i | − | 0.788910i | ||||||
\(754\) | −1598.41 | − | 368.220i | −2.11991 | − | 0.488356i | ||||
\(755\) | −45.7281 | + | 326.435i | −0.0605670 | + | 0.432364i | ||||
\(756\) | 439.544 | − | 111.580i | 0.581407 | − | 0.147593i | ||||
\(757\) | 813.010 | 1.07399 | 0.536995 | − | 0.843585i | \(-0.319559\pi\) | ||||
0.536995 | + | 0.843585i | \(0.319559\pi\) | |||||||
\(758\) | 159.420 | − | 692.028i | 0.210316 | − | 0.912965i | ||||
\(759\) | − | 762.113i | − | 1.00410i | ||||||
\(760\) | 906.860 | − | 848.851i | 1.19324 | − | 1.11691i | ||||
\(761\) | − | 1222.33i | − | 1.60622i | −0.595832 | − | 0.803109i | \(-0.703178\pi\) | ||
0.595832 | − | 0.803109i | \(-0.296822\pi\) | |||||||
\(762\) | 943.846 | + | 217.430i | 1.23864 | + | 0.285341i | ||||
\(763\) | 216.881 | − | 183.209i | 0.284248 | − | 0.240117i | ||||
\(764\) | −327.637 | − | 159.413i | −0.428844 | − | 0.208656i | ||||
\(765\) | 52.5658 | − | 375.247i | 0.0687135 | − | 0.490519i | ||||
\(766\) | 850.879 | + | 196.014i | 1.11081 | + | 0.255893i | ||||
\(767\) | − | 857.296i | − | 1.11773i | ||||||
\(768\) | −917.235 | − | 224.981i | −1.19432 | − | 0.292944i | ||||
\(769\) | 600.119i | 0.780388i | 0.920733 | + | 0.390194i | \(0.127592\pi\) | ||||
−0.920733 | + | 0.390194i | \(0.872408\pi\) | |||||||
\(770\) | 235.609 | + | 674.973i | 0.305986 | + | 0.876589i | ||||
\(771\) | 1035.69i | 1.34331i | ||||||||
\(772\) | 221.849 | − | 455.960i | 0.287369 | − | 0.590621i | ||||
\(773\) | 308.438i | 0.399015i | 0.979896 | + | 0.199507i | \(0.0639341\pi\) | ||||
−0.979896 | + | 0.199507i | \(0.936066\pi\) | |||||||
\(774\) | 235.655 | + | 54.2869i | 0.304463 | + | 0.0701381i | ||||
\(775\) | 176.885 | − | 618.968i | 0.228239 | − | 0.798668i | ||||
\(776\) | 462.871 | + | 373.731i | 0.596483 | + | 0.481612i | ||||
\(777\) | −1303.10 | + | 1100.79i | −1.67710 | + | 1.41672i | ||||
\(778\) | −287.224 | + | 1246.82i | −0.369183 | + | 1.60259i | ||||
\(779\) | 15.6593i | 0.0201018i | ||||||||
\(780\) | −594.369 | + | 883.858i | −0.762011 | + | 1.13315i | ||||
\(781\) | − | 260.947i | − | 0.334119i | ||||||
\(782\) | −149.292 | + | 648.064i | −0.190911 | + | 0.828726i | ||||
\(783\) | 920.133 | 1.17514 | ||||||||
\(784\) | −689.072 | + | 373.945i | −0.878919 | + | 0.476971i | ||||
\(785\) | 16.3212 | + | 2.28633i | 0.0207913 | + | 0.00291252i | ||||
\(786\) | 78.0765 | − | 338.924i | 0.0993340 | − | 0.431200i | ||||
\(787\) | 670.641i | 0.852149i | 0.904688 | + | 0.426074i | \(0.140104\pi\) | ||||
−0.904688 | + | 0.426074i | \(0.859896\pi\) | |||||||
\(788\) | −1134.08 | − | 551.792i | −1.43919 | − | 0.700244i | ||||
\(789\) | 422.366 | 0.535319 | ||||||||
\(790\) | −230.542 | + | 602.247i | −0.291825 | + | 0.762337i | ||||
\(791\) | 776.231 | − | 655.717i | 0.981328 | − | 0.828972i | ||||
\(792\) | −236.612 | + | 293.047i | −0.298753 | + | 0.370009i | ||||
\(793\) | − | 1003.38i | − | 1.26530i | ||||||
\(794\) | −232.009 | + | 1007.13i | −0.292203 | + | 1.26843i | ||||
\(795\) | 969.306 | + | 135.784i | 1.21925 | + | 0.170797i | ||||
\(796\) | 533.157 | − | 1095.78i | 0.669796 | − | 1.37661i | ||||
\(797\) | 774.242i | 0.971445i | 0.874113 | + | 0.485722i | \(0.161443\pi\) | ||||
−0.874113 | + | 0.485722i | \(0.838557\pi\) | |||||||
\(798\) | 1426.30 | − | 733.540i | 1.78734 | − | 0.919223i | ||||
\(799\) | −332.540 | −0.416195 | ||||||||
\(800\) | 127.739 | + | 789.736i | 0.159674 | + | 0.987170i | ||||
\(801\) | 101.717i | 0.126987i | ||||||||
\(802\) | 509.007 | + | 117.258i | 0.634672 | + | 0.146207i | ||||
\(803\) | 354.610i | 0.441607i | ||||||||
\(804\) | 399.827 | − | 821.754i | 0.497297 | − | 1.02208i | ||||
\(805\) | −377.409 | − | 598.967i | −0.468830 | − | 0.744059i | ||||
\(806\) | 724.466 | + | 166.893i | 0.898842 | + | 0.207063i | ||||
\(807\) | 734.377i | 0.910008i | ||||||||
\(808\) | −653.307 | − | 527.492i | −0.808548 | − | 0.652837i | ||||
\(809\) | 1122.72 | 1.38778 | 0.693892 | − | 0.720079i | \(-0.255894\pi\) | ||||
0.693892 | + | 0.720079i | \(0.255894\pi\) | |||||||
\(810\) | 361.930 | − | 945.473i | 0.446827 | − | 1.16725i | ||||
\(811\) | 651.714 | 0.803593 | 0.401796 | − | 0.915729i | \(-0.368386\pi\) | ||||
0.401796 | + | 0.915729i | \(0.368386\pi\) | |||||||
\(812\) | −1541.85 | + | 391.405i | −1.89883 | + | 0.482026i | ||||
\(813\) | −510.211 | −0.627566 | ||||||||
\(814\) | −302.889 | + | 1314.82i | −0.372099 | + | 1.61525i | ||||
\(815\) | 56.0799 | − | 400.332i | 0.0688097 | − | 0.491205i | ||||
\(816\) | 763.501 | − | 598.860i | 0.935664 | − | 0.733898i | ||||
\(817\) | −814.520 | −0.996964 | ||||||||
\(818\) | 42.5813 | − | 184.842i | 0.0520553 | − | 0.225968i | ||||
\(819\) | −355.855 | + | 300.607i | −0.434500 | + | 0.367041i | ||||
\(820\) | −8.36898 | − | 5.62789i | −0.0102061 | − | 0.00686328i | ||||
\(821\) | − | 75.0402i | − | 0.0914009i | −0.998955 | − | 0.0457005i | \(-0.985448\pi\) | ||
0.998955 | − | 0.0457005i | \(-0.0145520\pi\) | |||||||
\(822\) | −346.666 | − | 79.8601i | −0.421735 | − | 0.0971534i | ||||
\(823\) | 863.981i | 1.04979i | 0.851166 | + | 0.524897i | \(0.175896\pi\) | ||||
−0.851166 | + | 0.524897i | \(0.824104\pi\) | |||||||
\(824\) | 369.376 | + | 298.241i | 0.448271 | + | 0.361943i | ||||
\(825\) | 905.681 | + | 258.821i | 1.09780 | + | 0.313722i | ||||
\(826\) | −380.252 | − | 739.363i | −0.460353 | − | 0.895113i | ||||
\(827\) | −1535.63 | −1.85687 | −0.928434 | − | 0.371496i | \(-0.878845\pi\) | ||||
−0.928434 | + | 0.371496i | \(0.878845\pi\) | |||||||
\(828\) | 163.184 | − | 335.388i | 0.197082 | − | 0.405057i | ||||
\(829\) | −129.821 | −0.156599 | −0.0782997 | − | 0.996930i | \(-0.524949\pi\) | ||||
−0.0782997 | + | 0.996930i | \(0.524949\pi\) | |||||||
\(830\) | 86.5760 | + | 33.1415i | 0.104308 | + | 0.0399296i | ||||
\(831\) | 1281.53i | 1.54215i | ||||||||
\(832\) | −903.151 | + | 194.672i | −1.08552 | + | 0.233980i | ||||
\(833\) | 134.633 | − | 794.187i | 0.161624 | − | 0.953406i | ||||
\(834\) | −147.856 | + | 641.830i | −0.177285 | + | 0.769581i | ||||
\(835\) | 128.913 | − | 920.259i | 0.154387 | − | 1.10211i | ||||
\(836\) | 555.038 | − | 1140.75i | 0.663921 | − | 1.36454i | ||||
\(837\) | −417.042 | −0.498258 | ||||||||
\(838\) | 89.8400 | + | 20.6961i | 0.107208 | + | 0.0246970i | ||||
\(839\) | 502.794i | 0.599277i | 0.954053 | + | 0.299639i | \(0.0968661\pi\) | ||||
−0.954053 | + | 0.299639i | \(0.903134\pi\) | |||||||
\(840\) | −120.572 | + | 1025.90i | −0.143538 | + | 1.22131i | ||||
\(841\) | −2386.68 | −2.83791 | ||||||||
\(842\) | 319.108 | − | 1385.22i | 0.378988 | − | 1.64515i | ||||
\(843\) | − | 964.497i | − | 1.14412i | ||||||
\(844\) | −208.900 | + | 429.346i | −0.247512 | + | 0.508704i | ||||
\(845\) | −27.3248 | + | 195.061i | −0.0323370 | + | 0.230841i | ||||
\(846\) | 181.742 | + | 41.8671i | 0.214825 | + | 0.0494883i | ||||
\(847\) | −75.4090 | − | 89.2685i | −0.0890307 | − | 0.105394i | ||||
\(848\) | 523.966 | + | 668.017i | 0.617885 | + | 0.787756i | ||||
\(849\) | −327.735 | −0.386024 | ||||||||
\(850\) | −719.447 | − | 397.505i | −0.846408 | − | 0.467652i | ||||
\(851\) | − | 1336.12i | − | 1.57006i | ||||||
\(852\) | 164.959 | − | 339.036i | 0.193614 | − | 0.397930i | ||||
\(853\) | − | 837.144i | − | 0.981411i | −0.871326 | − | 0.490705i | \(-0.836739\pi\) | ||
0.871326 | − | 0.490705i | \(-0.163261\pi\) | |||||||
\(854\) | −445.047 | − | 865.351i | −0.521132 | − | 1.01329i | ||||
\(855\) | 99.2978 | − | 708.848i | 0.116138 | − | 0.829062i | ||||
\(856\) | −1051.72 | − | 849.178i | −1.22864 | − | 0.992030i | ||||
\(857\) | 74.6446 | 0.0870999 | 0.0435499 | − | 0.999051i | \(-0.486133\pi\) | ||||
0.0435499 | + | 0.999051i | \(0.486133\pi\) | |||||||
\(858\) | −244.199 | + | 1060.05i | −0.284614 | + | 1.23549i | ||||
\(859\) | −985.823 | −1.14764 | −0.573820 | − | 0.818981i | \(-0.694539\pi\) | ||||
−0.573820 | + | 0.818981i | \(0.694539\pi\) | |||||||
\(860\) | 292.735 | − | 435.312i | 0.340389 | − | 0.506177i | ||||
\(861\) | −8.40339 | − | 9.94785i | −0.00976003 | − | 0.0115538i | ||||
\(862\) | −802.003 | − | 184.754i | −0.930398 | − | 0.214332i | ||||
\(863\) | − | 1293.70i | − | 1.49907i | −0.661966 | − | 0.749534i | \(-0.730278\pi\) | ||
0.661966 | − | 0.749534i | \(-0.269722\pi\) | |||||||
\(864\) | 469.188 | − | 220.149i | 0.543041 | − | 0.254802i | ||||
\(865\) | −1009.41 | − | 141.401i | −1.16695 | − | 0.163470i | ||||
\(866\) | 642.340 | + | 147.973i | 0.741732 | + | 0.170870i | ||||
\(867\) | − | 69.1890i | − | 0.0798028i | ||||||
\(868\) | 698.831 | − | 177.401i | 0.805105 | − | 0.204379i | ||||
\(869\) | 658.603i | 0.757886i | ||||||||
\(870\) | −749.295 | + | 1957.39i | −0.861259 | + | 2.24988i | ||||
\(871\) | − | 893.994i | − | 1.02640i | ||||||
\(872\) | 203.831 | − | 252.448i | 0.233752 | − | 0.289505i | ||||
\(873\) | 342.809 | 0.392680 | ||||||||
\(874\) | −282.015 | + | 1224.20i | −0.322672 | + | 1.40069i | ||||
\(875\) | 839.974 | − | 245.091i | 0.959970 | − | 0.280103i | ||||
\(876\) | −224.169 | + | 460.728i | −0.255900 | + | 0.525945i | ||||
\(877\) | 92.9231 | 0.105956 | 0.0529778 | − | 0.998596i | \(-0.483129\pi\) | ||||
0.0529778 | + | 0.998596i | \(0.483129\pi\) | |||||||
\(878\) | 166.321 | − | 721.985i | 0.189432 | − | 0.822307i | ||||
\(879\) | 587.978 | 0.668917 | ||||||||
\(880\) | 410.187 | + | 706.616i | 0.466122 | + | 0.802973i | ||||
\(881\) | 58.1276i | 0.0659792i | 0.999456 | + | 0.0329896i | \(0.0105028\pi\) | ||||
−0.999456 | + | 0.0329896i | \(0.989497\pi\) | |||||||
\(882\) | −173.569 | + | 417.093i | −0.196791 | + | 0.472895i | ||||
\(883\) | −698.151 | −0.790658 | −0.395329 | − | 0.918540i | \(-0.629369\pi\) | ||||
−0.395329 | + | 0.918540i | \(0.629369\pi\) | |||||||
\(884\) | 415.310 | − | 853.577i | 0.469808 | − | 0.965584i | ||||
\(885\) | −1084.84 | − | 151.968i | −1.22581 | − | 0.171716i | ||||
\(886\) | 396.490 | + | 91.3378i | 0.447505 | + | 0.103090i | ||||
\(887\) | −472.357 | −0.532534 | −0.266267 | − | 0.963899i | \(-0.585790\pi\) | ||||
−0.266267 | + | 0.963899i | \(0.585790\pi\) | |||||||
\(888\) | −1224.70 | + | 1516.80i | −1.37916 | + | 1.70811i | ||||
\(889\) | 701.967 | − | 592.983i | 0.789614 | − | 0.667022i | ||||
\(890\) | 206.068 | + | 78.8833i | 0.231537 | + | 0.0886329i | ||||
\(891\) | − | 1033.95i | − | 1.16043i | ||||||
\(892\) | −812.709 | − | 395.426i | −0.911109 | − | 0.443303i | ||||
\(893\) | −628.174 | −0.703442 | ||||||||
\(894\) | −356.828 | − | 82.2011i | −0.399137 | − | 0.0919476i | ||||
\(895\) | 1250.23 | + | 175.137i | 1.39691 | + | 0.195684i | ||||
\(896\) | −692.564 | + | 568.482i | −0.772950 | + | 0.634466i | ||||
\(897\) | − | 1077.22i | − | 1.20092i | ||||||
\(898\) | −535.098 | − | 123.269i | −0.595878 | − | 0.137270i | ||||
\(899\) | 1462.92 | 1.62727 | ||||||||
\(900\) | 343.150 | + | 307.825i | 0.381277 | + | 0.342028i | ||||
\(901\) | −872.294 | −0.968140 | ||||||||
\(902\) | −10.0373 | − | 2.31224i | −0.0111278 | − | 0.00256346i | ||||
\(903\) | 517.437 | − | 437.102i | 0.573020 | − | 0.484055i | ||||
\(904\) | 729.526 | − | 903.528i | 0.806997 | − | 0.999477i | ||||
\(905\) | 72.8421 | − | 519.991i | 0.0804885 | − | 0.574576i | ||||
\(906\) | −109.193 | + | 473.996i | −0.120522 | + | 0.523174i | ||||
\(907\) | 497.001 | 0.547961 | 0.273981 | − | 0.961735i | \(-0.411660\pi\) | ||||
0.273981 | + | 0.961735i | \(0.411660\pi\) | |||||||
\(908\) | 408.959 | − | 840.523i | 0.450395 | − | 0.925686i | ||||
\(909\) | −483.849 | −0.532288 | ||||||||
\(910\) | 333.026 | + | 954.054i | 0.365963 | + | 1.04841i | ||||
\(911\) | −1091.09 | −1.19769 | −0.598844 | − | 0.800865i | \(-0.704373\pi\) | ||||
−0.598844 | + | 0.800865i | \(0.704373\pi\) | |||||||
\(912\) | 1442.27 | − | 1131.26i | 1.58143 | − | 1.24041i | ||||
\(913\) | 94.6776 | 0.103699 | ||||||||
\(914\) | 83.7486 | − | 363.545i | 0.0916287 | − | 0.397752i | ||||
\(915\) | −1269.70 | − | 177.864i | −1.38765 | − | 0.194387i | ||||
\(916\) | 1474.80 | + | 717.567i | 1.61004 | + | 0.783370i | ||||
\(917\) | −212.933 | − | 252.068i | −0.232206 | − | 0.274883i | ||||
\(918\) | −119.538 | + | 518.903i | −0.130215 | + | 0.565253i | ||||
\(919\) | −606.413 | −0.659862 | −0.329931 | − | 0.944005i | \(-0.607026\pi\) | ||||
−0.329931 | + | 0.944005i | \(0.607026\pi\) | |||||||
\(920\) | −552.909 | − | 590.694i | −0.600988 | − | 0.642058i | ||||
\(921\) | −704.336 | −0.764752 | ||||||||
\(922\) | 976.778 | + | 225.017i | 1.05941 | + | 0.244053i | ||||
\(923\) | − | 368.841i | − | 0.399611i | ||||||
\(924\) | 259.575 | + | 1022.54i | 0.280925 | + | 1.10664i | ||||
\(925\) | 1587.82 | + | 453.758i | 1.71656 | + | 0.490550i | ||||
\(926\) | −72.1014 | + | 312.986i | −0.0778633 | + | 0.337998i | ||||
\(927\) | 273.566 | 0.295108 | ||||||||
\(928\) | −1645.84 | + | 772.247i | −1.77353 | + | 0.832163i | ||||
\(929\) | 718.552i | 0.773468i | 0.922191 | + | 0.386734i | \(0.126397\pi\) | ||||
−0.922191 | + | 0.386734i | \(0.873603\pi\) | |||||||
\(930\) | 339.612 | − | 887.171i | 0.365174 | − | 0.953948i | ||||
\(931\) | 254.324 | − | 1500.23i | 0.273173 | − | 1.61142i | ||||
\(932\) | −341.900 | + | 702.697i | −0.366845 | + | 0.753967i | ||||
\(933\) | −358.378 | −0.384114 | ||||||||
\(934\) | −152.994 | + | 664.132i | −0.163805 | + | 0.711062i | ||||
\(935\) | −831.351 | − | 116.458i | −0.889145 | − | 0.124554i | ||||
\(936\) | −334.444 | + | 414.213i | −0.357312 | + | 0.442536i | ||||
\(937\) | −1453.79 | −1.55153 | −0.775767 | − | 0.631020i | \(-0.782637\pi\) | ||||
−0.775767 | + | 0.631020i | \(0.782637\pi\) | |||||||
\(938\) | −396.529 | − | 771.013i | −0.422739 | − | 0.821976i | ||||
\(939\) | − | 486.035i | − | 0.517609i | ||||||
\(940\) | 225.763 | − | 335.721i | 0.240173 | − | 0.357150i | ||||
\(941\) | −1458.29 | −1.54972 | −0.774862 | − | 0.632130i | \(-0.782181\pi\) | ||||
−0.774862 | + | 0.632130i | \(0.782181\pi\) | |||||||
\(942\) | 23.6990 | + | 5.45946i | 0.0251582 | + | 0.00579560i | ||||
\(943\) | 10.1999 | 0.0108164 | ||||||||
\(944\) | −586.420 | − | 747.641i | −0.621208 | − | 0.791993i | ||||
\(945\) | −302.190 | − | 479.591i | −0.319777 | − | 0.507504i | ||||
\(946\) | 120.271 | − | 522.087i | 0.127137 | − | 0.551890i | ||||
\(947\) | 474.327 | 0.500873 | 0.250437 | − | 0.968133i | \(-0.419426\pi\) | ||||
0.250437 | + | 0.968133i | \(0.419426\pi\) | |||||||
\(948\) | −416.339 | + | 855.692i | −0.439177 | + | 0.902628i | ||||
\(949\) | 501.231i | 0.528167i | ||||||||
\(950\) | −1359.05 | − | 750.893i | −1.43058 | − | 0.790414i | ||||
\(951\) | 238.187i | 0.250460i | ||||||||
\(952\) | −20.4230 | − | 920.365i | −0.0214527 | − | 0.966770i | ||||
\(953\) | − | 110.230i | − | 0.115666i | −0.998326 | − | 0.0578331i | \(-0.981581\pi\) | ||
0.998326 | − | 0.0578331i | \(-0.0184191\pi\) | |||||||
\(954\) | 476.731 | + | 109.823i | 0.499718 | + | 0.115118i | ||||
\(955\) | −63.1841 | + | 451.047i | −0.0661614 | + | 0.472300i | ||||
\(956\) | −4.06571 | − | 1.97819i | −0.00425284 | − | 0.00206923i | ||||
\(957\) | 2140.56i | 2.23674i | ||||||||
\(958\) | −352.288 | + | 1529.25i | −0.367733 | + | 1.59630i | ||||
\(959\) | −257.826 | + | 217.797i | −0.268849 | + | 0.227109i | ||||
\(960\) | 86.2453 | + | 1177.37i | 0.0898388 | + | 1.22643i | ||||
\(961\) | 297.945 | 0.310036 | ||||||||
\(962\) | −428.124 | + | 1858.45i | −0.445036 | + | 1.93186i | ||||
\(963\) | −778.920 | −0.808847 | ||||||||
\(964\) | −323.280 | + | 664.428i | −0.335352 | + | 0.689241i | ||||
\(965\) | −627.704 | − | 87.9309i | −0.650470 | − | 0.0911201i | ||||
\(966\) | −477.799 | − | 929.036i | −0.494616 | − | 0.961735i | ||||
\(967\) | 1909.96i | 1.97514i | 0.157174 | + | 0.987571i | \(0.449762\pi\) | ||||
−0.157174 | + | 0.987571i | \(0.550238\pi\) | |||||||
\(968\) | −103.908 | − | 83.8972i | −0.107343 | − | 0.0866707i | ||||
\(969\) | 1883.31i | 1.94356i | ||||||||
\(970\) | 265.856 | − | 694.497i | 0.274078 | − | 0.715977i | ||||
\(971\) | 1347.96 | 1.38822 | 0.694111 | − | 0.719868i | \(-0.255798\pi\) | ||||
0.694111 | + | 0.719868i | \(0.255798\pi\) | |||||||
\(972\) | 398.522 | − | 819.071i | 0.410002 | − | 0.842666i | ||||
\(973\) | 403.238 | + | 477.349i | 0.414427 | + | 0.490595i | ||||
\(974\) | 87.8407 | − | 381.309i | 0.0901856 | − | 0.391488i | ||||
\(975\) | 1280.15 | + | 365.835i | 1.31298 | + | 0.375215i | ||||
\(976\) | −686.346 | − | 875.040i | −0.703224 | − | 0.896557i | ||||
\(977\) | 1520.98i | 1.55678i | 0.627780 | + | 0.778391i | \(0.283964\pi\) | ||||
−0.627780 | + | 0.778391i | \(0.716036\pi\) | |||||||
\(978\) | 133.912 | − | 581.298i | 0.136924 | − | 0.594375i | ||||
\(979\) | 225.351 | 0.230185 | ||||||||
\(980\) | 710.382 | + | 675.098i | 0.724880 | + | 0.688875i | ||||
\(981\) | − | 186.967i | − | 0.190588i | ||||||
\(982\) | −68.9321 | + | 299.228i | −0.0701956 | + | 0.304713i | ||||
\(983\) | −1569.64 | −1.59678 | −0.798391 | − | 0.602139i | \(-0.794315\pi\) | ||||
−0.798391 | + | 0.602139i | \(0.794315\pi\) | |||||||
\(984\) | −11.5792 | − | 9.34929i | −0.0117675 | − | 0.00950131i | ||||
\(985\) | −218.706 | + | 1561.25i | −0.222036 | + | 1.58503i | ||||
\(986\) | 419.319 | − | 1820.23i | 0.425273 | − | 1.84607i | ||||
\(987\) | 399.058 | − | 337.102i | 0.404314 | − | 0.341542i | ||||
\(988\) | 784.529 | − | 1612.42i | 0.794057 | − | 1.63201i | ||||
\(989\) | 530.547i | 0.536448i | ||||||||
\(990\) | 439.692 | + | 168.315i | 0.444134 | + | 0.170016i | ||||
\(991\) | −1546.21 | −1.56026 | −0.780128 | − | 0.625620i | \(-0.784846\pi\) | ||||
−0.780128 | + | 0.625620i | \(0.784846\pi\) | |||||||
\(992\) | 745.962 | − | 350.014i | 0.751977 | − | 0.352837i | ||||
\(993\) | −194.641 | −0.196013 | ||||||||
\(994\) | −163.598 | − | 318.102i | −0.164586 | − | 0.320022i | ||||
\(995\) | −1508.53 | − | 211.320i | −1.51611 | − | 0.212382i | ||||
\(996\) | 123.010 | + | 59.8509i | 0.123504 | + | 0.0600913i | ||||
\(997\) | 1493.93i | 1.49842i | 0.662331 | + | 0.749211i | \(0.269567\pi\) | ||||
−0.662331 | + | 0.749211i | \(0.730433\pi\) | |||||||
\(998\) | 285.652 | − | 1239.99i | 0.286224 | − | 1.24247i | ||||
\(999\) | − | 1069.83i | − | 1.07090i |
(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 | 280.3.c.g.69.6 | yes | 80 | |
4.3 | odd | 2 | 1120.3.c.g.209.13 | 80 | |||
5.4 | even | 2 | inner | 280.3.c.g.69.75 | yes | 80 | |
7.6 | odd | 2 | inner | 280.3.c.g.69.5 | ✓ | 80 | |
8.3 | odd | 2 | 1120.3.c.g.209.2 | 80 | |||
8.5 | even | 2 | inner | 280.3.c.g.69.73 | yes | 80 | |
20.19 | odd | 2 | 1120.3.c.g.209.6 | 80 | |||
28.27 | even | 2 | 1120.3.c.g.209.24 | 80 | |||
35.34 | odd | 2 | inner | 280.3.c.g.69.76 | yes | 80 | |
40.19 | odd | 2 | 1120.3.c.g.209.23 | 80 | |||
40.29 | even | 2 | inner | 280.3.c.g.69.8 | yes | 80 | |
56.13 | odd | 2 | inner | 280.3.c.g.69.74 | yes | 80 | |
56.27 | even | 2 | 1120.3.c.g.209.5 | 80 | |||
140.139 | even | 2 | 1120.3.c.g.209.1 | 80 | |||
280.69 | odd | 2 | inner | 280.3.c.g.69.7 | yes | 80 | |
280.139 | even | 2 | 1120.3.c.g.209.14 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.3.c.g.69.5 | ✓ | 80 | 7.6 | odd | 2 | inner | |
280.3.c.g.69.6 | yes | 80 | 1.1 | even | 1 | trivial | |
280.3.c.g.69.7 | yes | 80 | 280.69 | odd | 2 | inner | |
280.3.c.g.69.8 | yes | 80 | 40.29 | even | 2 | inner | |
280.3.c.g.69.73 | yes | 80 | 8.5 | even | 2 | inner | |
280.3.c.g.69.74 | yes | 80 | 56.13 | odd | 2 | inner | |
280.3.c.g.69.75 | yes | 80 | 5.4 | even | 2 | inner | |
280.3.c.g.69.76 | yes | 80 | 35.34 | odd | 2 | inner | |
1120.3.c.g.209.1 | 80 | 140.139 | even | 2 | |||
1120.3.c.g.209.2 | 80 | 8.3 | odd | 2 | |||
1120.3.c.g.209.5 | 80 | 56.27 | even | 2 | |||
1120.3.c.g.209.6 | 80 | 20.19 | odd | 2 | |||
1120.3.c.g.209.13 | 80 | 4.3 | odd | 2 | |||
1120.3.c.g.209.14 | 80 | 280.139 | even | 2 | |||
1120.3.c.g.209.23 | 80 | 40.19 | odd | 2 | |||
1120.3.c.g.209.24 | 80 | 28.27 | even | 2 |