Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(97,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.97");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 172.5 | ||
Character | \(\chi\) | \(=\) | 201.172 |
Dual form | 201.3.h.b.97.5 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.893138 | − | 0.515653i | −0.446569 | − | 0.257827i | 0.259811 | − | 0.965659i | \(-0.416340\pi\) |
−0.706380 | + | 0.707833i | \(0.749673\pi\) | |||||||
\(3\) | − | 1.73205i | − | 0.577350i | ||||||
\(4\) | −1.46820 | − | 2.54300i | −0.367051 | − | 0.635751i | ||||
\(5\) | 8.85241i | 1.77048i | 0.465132 | + | 0.885241i | \(0.346007\pi\) | ||||
−0.465132 | + | 0.885241i | \(0.653993\pi\) | |||||||
\(6\) | −0.893138 | + | 1.54696i | −0.148856 | + | 0.257827i | ||||
\(7\) | 7.85559 | − | 4.53543i | 1.12223 | − | 0.647918i | 0.180259 | − | 0.983619i | \(-0.442307\pi\) |
0.941969 | + | 0.335701i | \(0.108973\pi\) | |||||||
\(8\) | 7.15356i | 0.894195i | ||||||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | 4.56478 | − | 7.90642i | 0.456478 | − | 0.790642i | ||||
\(11\) | 3.62479 | − | 2.09277i | 0.329526 | − | 0.190252i | −0.326105 | − | 0.945334i | \(-0.605736\pi\) |
0.655631 | + | 0.755082i | \(0.272403\pi\) | |||||||
\(12\) | −4.40461 | + | 2.54300i | −0.367051 | + | 0.211917i | ||||
\(13\) | 13.1062 | + | 7.56688i | 1.00817 | + | 0.582068i | 0.910656 | − | 0.413166i | \(-0.135577\pi\) |
0.0975156 | + | 0.995234i | \(0.468910\pi\) | |||||||
\(14\) | −9.35483 | −0.668202 | ||||||||
\(15\) | 15.3328 | 1.02219 | ||||||||
\(16\) | −2.18406 | + | 3.78289i | −0.136503 | + | 0.236431i | ||||
\(17\) | −0.813277 | + | 1.40864i | −0.0478398 | + | 0.0828610i | −0.888954 | − | 0.457997i | \(-0.848567\pi\) |
0.841114 | + | 0.540858i | \(0.181900\pi\) | |||||||
\(18\) | 2.67941 | + | 1.54696i | 0.148856 | + | 0.0859422i | ||||
\(19\) | 15.2858 | − | 26.4758i | 0.804515 | − | 1.39346i | −0.112103 | − | 0.993697i | \(-0.535759\pi\) |
0.916618 | − | 0.399765i | \(-0.130908\pi\) | |||||||
\(20\) | 22.5117 | − | 12.9971i | 1.12559 | − | 0.649857i | ||||
\(21\) | −7.85559 | − | 13.6063i | −0.374076 | − | 0.647918i | ||||
\(22\) | −4.31658 | −0.196208 | ||||||||
\(23\) | 12.8586 | − | 22.2717i | 0.559069 | − | 0.968336i | −0.438505 | − | 0.898729i | \(-0.644492\pi\) |
0.997574 | − | 0.0696077i | \(-0.0221748\pi\) | |||||||
\(24\) | 12.3903 | 0.516264 | ||||||||
\(25\) | −53.3652 | −2.13461 | ||||||||
\(26\) | −7.80378 | − | 13.5165i | −0.300145 | − | 0.519867i | ||||
\(27\) | 5.19615i | 0.192450i | ||||||||
\(28\) | −23.0672 | − | 13.3179i | −0.823829 | − | 0.475638i | ||||
\(29\) | 11.6799 | + | 20.2301i | 0.402754 | + | 0.697591i | 0.994057 | − | 0.108858i | \(-0.0347195\pi\) |
−0.591303 | + | 0.806450i | \(0.701386\pi\) | |||||||
\(30\) | −13.6943 | − | 7.90642i | −0.456478 | − | 0.263547i | ||||
\(31\) | 31.3790 | − | 18.1167i | 1.01222 | − | 0.584408i | 0.100383 | − | 0.994949i | \(-0.467993\pi\) |
0.911842 | + | 0.410541i | \(0.134660\pi\) | |||||||
\(32\) | 28.6820 | − | 16.5596i | 0.896312 | − | 0.517486i | ||||
\(33\) | −3.62479 | − | 6.27831i | −0.109842 | − | 0.190252i | ||||
\(34\) | 1.45274 | − | 0.838738i | 0.0427276 | − | 0.0246688i | ||||
\(35\) | 40.1495 | + | 69.5409i | 1.14713 | + | 1.98688i | ||||
\(36\) | 4.40461 | + | 7.62901i | 0.122350 | + | 0.211917i | ||||
\(37\) | −4.84533 | + | 8.39236i | −0.130955 | + | 0.226821i | −0.924045 | − | 0.382284i | \(-0.875138\pi\) |
0.793090 | + | 0.609104i | \(0.208471\pi\) | |||||||
\(38\) | −27.3046 | + | 15.7643i | −0.718543 | + | 0.414851i | ||||
\(39\) | 13.1062 | − | 22.7007i | 0.336057 | − | 0.582068i | ||||
\(40\) | −63.3263 | −1.58316 | ||||||||
\(41\) | 29.7223 | − | 17.1602i | 0.724935 | − | 0.418541i | −0.0916316 | − | 0.995793i | \(-0.529208\pi\) |
0.816566 | + | 0.577252i | \(0.195875\pi\) | |||||||
\(42\) | 16.2030i | 0.385787i | ||||||||
\(43\) | 77.4895i | 1.80208i | 0.433735 | + | 0.901041i | \(0.357196\pi\) | ||||
−0.433735 | + | 0.901041i | \(0.642804\pi\) | |||||||
\(44\) | −10.6438 | − | 6.14523i | −0.241906 | − | 0.139664i | ||||
\(45\) | − | 26.5572i | − | 0.590161i | ||||||
\(46\) | −22.9690 | + | 13.2612i | −0.499326 | + | 0.288286i | ||||
\(47\) | −7.25570 | − | 12.5672i | −0.154376 | − | 0.267388i | 0.778455 | − | 0.627700i | \(-0.216004\pi\) |
−0.932832 | + | 0.360312i | \(0.882670\pi\) | |||||||
\(48\) | 6.55217 | + | 3.78289i | 0.136503 | + | 0.0788103i | ||||
\(49\) | 16.6402 | − | 28.8217i | 0.339596 | − | 0.588198i | ||||
\(50\) | 47.6625 | + | 27.5179i | 0.953250 | + | 0.550359i | ||||
\(51\) | 2.43983 | + | 1.40864i | 0.0478398 | + | 0.0276203i | ||||
\(52\) | − | 44.4389i | − | 0.854594i | ||||||
\(53\) | 65.4446i | 1.23480i | 0.786648 | + | 0.617402i | \(0.211815\pi\) | ||||
−0.786648 | + | 0.617402i | \(0.788185\pi\) | |||||||
\(54\) | 2.67941 | − | 4.64088i | 0.0496188 | − | 0.0859422i | ||||
\(55\) | 18.5261 | + | 32.0881i | 0.336838 | + | 0.583420i | ||||
\(56\) | 32.4445 | + | 56.1955i | 0.579365 | + | 1.00349i | ||||
\(57\) | −45.8574 | − | 26.4758i | −0.804515 | − | 0.464487i | ||||
\(58\) | − | 24.0911i | − | 0.415363i | ||||||
\(59\) | −40.1862 | −0.681121 | −0.340561 | − | 0.940223i | \(-0.610617\pi\) | ||||
−0.340561 | + | 0.940223i | \(0.610617\pi\) | |||||||
\(60\) | −22.5117 | − | 38.9914i | −0.375195 | − | 0.649857i | ||||
\(61\) | 12.1810 | + | 7.03273i | 0.199689 | + | 0.115291i | 0.596511 | − | 0.802605i | \(-0.296553\pi\) |
−0.396821 | + | 0.917896i | \(0.629887\pi\) | |||||||
\(62\) | −37.3677 | −0.602704 | ||||||||
\(63\) | −23.5668 | + | 13.6063i | −0.374076 | + | 0.215973i | ||||
\(64\) | −16.6835 | −0.260680 | ||||||||
\(65\) | −66.9852 | + | 116.022i | −1.03054 | + | 1.78495i | ||||
\(66\) | 7.47653i | 0.113281i | ||||||||
\(67\) | −18.3984 | − | 64.4244i | −0.274603 | − | 0.961558i | ||||
\(68\) | 4.77623 | 0.0702386 | ||||||||
\(69\) | −38.5758 | − | 22.2717i | −0.559069 | − | 0.322779i | ||||
\(70\) | − | 82.8128i | − | 1.18304i | ||||||
\(71\) | −8.72147 | − | 15.1060i | −0.122838 | − | 0.212761i | 0.798048 | − | 0.602594i | \(-0.205866\pi\) |
−0.920886 | + | 0.389833i | \(0.872533\pi\) | |||||||
\(72\) | − | 21.4607i | − | 0.298065i | ||||||
\(73\) | −35.2921 | + | 61.1278i | −0.483454 | + | 0.837367i | −0.999819 | − | 0.0190016i | \(-0.993951\pi\) |
0.516366 | + | 0.856368i | \(0.327285\pi\) | |||||||
\(74\) | 8.65510 | − | 4.99702i | 0.116961 | − | 0.0675273i | ||||
\(75\) | 92.4313i | 1.23242i | ||||||||
\(76\) | −89.7706 | −1.18119 | ||||||||
\(77\) | 18.9832 | − | 32.8799i | 0.246535 | − | 0.427012i | ||||
\(78\) | −23.4113 | + | 13.5165i | −0.300145 | + | 0.173289i | ||||
\(79\) | 1.93538 | − | 1.11739i | 0.0244985 | − | 0.0141442i | −0.487701 | − | 0.873011i | \(-0.662164\pi\) |
0.512199 | + | 0.858867i | \(0.328831\pi\) | |||||||
\(80\) | −33.4877 | − | 19.3342i | −0.418597 | − | 0.241677i | ||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | −35.3948 | −0.431644 | ||||||||
\(83\) | 16.3342 | − | 28.2917i | 0.196798 | − | 0.340863i | −0.750691 | − | 0.660654i | \(-0.770279\pi\) |
0.947488 | + | 0.319790i | \(0.103612\pi\) | |||||||
\(84\) | −23.0672 | + | 39.9536i | −0.274610 | + | 0.475638i | ||||
\(85\) | −12.4698 | − | 7.19947i | −0.146704 | − | 0.0846996i | ||||
\(86\) | 39.9577 | − | 69.2088i | 0.464625 | − | 0.804753i | ||||
\(87\) | 35.0396 | − | 20.2301i | 0.402754 | − | 0.232530i | ||||
\(88\) | 14.9708 | + | 25.9301i | 0.170122 | + | 0.294661i | ||||
\(89\) | −168.923 | −1.89801 | −0.949004 | − | 0.315263i | \(-0.897907\pi\) | ||||
−0.949004 | + | 0.315263i | \(0.897907\pi\) | |||||||
\(90\) | −13.6943 | + | 23.7193i | −0.152159 | + | 0.263547i | ||||
\(91\) | 137.276 | 1.50853 | ||||||||
\(92\) | −75.5161 | −0.820827 | ||||||||
\(93\) | −31.3790 | − | 54.3500i | −0.337408 | − | 0.584408i | ||||
\(94\) | 14.9657i | 0.159210i | ||||||||
\(95\) | 234.374 | + | 135.316i | 2.46710 | + | 1.42438i | ||||
\(96\) | −28.6820 | − | 49.6787i | −0.298771 | − | 0.517486i | ||||
\(97\) | 162.611 | + | 93.8833i | 1.67640 | + | 0.967869i | 0.963926 | + | 0.266169i | \(0.0857580\pi\) |
0.712473 | + | 0.701700i | \(0.247575\pi\) | |||||||
\(98\) | −29.7240 | + | 17.1612i | −0.303306 | + | 0.175114i | ||||
\(99\) | −10.8744 | + | 6.27831i | −0.109842 | + | 0.0634173i | ||||
\(100\) | 78.3510 | + | 135.708i | 0.783510 | + | 1.35708i | ||||
\(101\) | −6.70212 | + | 3.86947i | −0.0663576 | + | 0.0383116i | −0.532812 | − | 0.846234i | \(-0.678865\pi\) |
0.466454 | + | 0.884545i | \(0.345531\pi\) | |||||||
\(102\) | −1.45274 | − | 2.51621i | −0.0142425 | − | 0.0246688i | ||||
\(103\) | −70.3871 | − | 121.914i | −0.683370 | − | 1.18363i | −0.973946 | − | 0.226779i | \(-0.927180\pi\) |
0.290576 | − | 0.956852i | \(-0.406153\pi\) | |||||||
\(104\) | −54.1302 | + | 93.7562i | −0.520482 | + | 0.901502i | ||||
\(105\) | 120.448 | − | 69.5409i | 1.14713 | − | 0.662295i | ||||
\(106\) | 33.7467 | − | 58.4511i | 0.318365 | − | 0.551425i | ||||
\(107\) | −4.59014 | −0.0428985 | −0.0214493 | − | 0.999770i | \(-0.506828\pi\) | ||||
−0.0214493 | + | 0.999770i | \(0.506828\pi\) | |||||||
\(108\) | 13.2138 | − | 7.62901i | 0.122350 | − | 0.0706390i | ||||
\(109\) | − | 23.7429i | − | 0.217824i | −0.994051 | − | 0.108912i | \(-0.965263\pi\) | ||
0.994051 | − | 0.108912i | \(-0.0347367\pi\) | |||||||
\(110\) | − | 38.2121i | − | 0.347383i | ||||||
\(111\) | 14.5360 | + | 8.39236i | 0.130955 | + | 0.0756069i | ||||
\(112\) | 39.6225i | 0.353772i | ||||||||
\(113\) | 69.4795 | − | 40.1140i | 0.614862 | − | 0.354991i | −0.160004 | − | 0.987116i | \(-0.551151\pi\) |
0.774866 | + | 0.632125i | \(0.217817\pi\) | |||||||
\(114\) | 27.3046 | + | 47.2930i | 0.239514 | + | 0.414851i | ||||
\(115\) | 197.159 | + | 113.830i | 1.71442 | + | 0.989822i | ||||
\(116\) | 34.2969 | − | 59.4039i | 0.295663 | − | 0.512103i | ||||
\(117\) | −39.3187 | − | 22.7007i | −0.336057 | − | 0.194023i | ||||
\(118\) | 35.8918 | + | 20.7221i | 0.304168 | + | 0.175611i | ||||
\(119\) | 14.7542i | 0.123985i | ||||||||
\(120\) | 109.684i | 0.914036i | ||||||||
\(121\) | −51.7406 | + | 89.6174i | −0.427608 | + | 0.740640i | ||||
\(122\) | −7.25290 | − | 12.5624i | −0.0594500 | − | 0.102970i | ||||
\(123\) | −29.7223 | − | 51.4806i | −0.241645 | − | 0.418541i | ||||
\(124\) | −92.1414 | − | 53.1979i | −0.743076 | − | 0.429015i | ||||
\(125\) | − | 251.101i | − | 2.00880i | ||||||
\(126\) | 28.0645 | 0.222734 | ||||||||
\(127\) | −118.302 | − | 204.905i | −0.931512 | − | 1.61343i | −0.780739 | − | 0.624857i | \(-0.785157\pi\) |
−0.150773 | − | 0.988568i | \(-0.548176\pi\) | |||||||
\(128\) | −99.8273 | − | 57.6353i | −0.779901 | − | 0.450276i | ||||
\(129\) | 134.216 | 1.04043 | ||||||||
\(130\) | 119.654 | − | 69.0823i | 0.920415 | − | 0.531402i | ||||
\(131\) | −230.163 | −1.75697 | −0.878486 | − | 0.477767i | \(-0.841446\pi\) | ||||
−0.878486 | + | 0.477767i | \(0.841446\pi\) | |||||||
\(132\) | −10.6438 | + | 18.4357i | −0.0806352 | + | 0.139664i | ||||
\(133\) | − | 277.310i | − | 2.08504i | ||||||
\(134\) | −16.7884 | + | 67.0270i | −0.125286 | + | 0.500202i | ||||
\(135\) | −45.9985 | −0.340730 | ||||||||
\(136\) | −10.0768 | − | 5.81783i | −0.0740939 | − | 0.0427782i | ||||
\(137\) | − | 146.341i | − | 1.06819i | −0.845426 | − | 0.534093i | \(-0.820653\pi\) | ||
0.845426 | − | 0.534093i | \(-0.179347\pi\) | |||||||
\(138\) | 22.9690 | + | 39.7835i | 0.166442 | + | 0.288286i | ||||
\(139\) | 118.950i | 0.855755i | 0.903837 | + | 0.427878i | \(0.140739\pi\) | ||||
−0.903837 | + | 0.427878i | \(0.859261\pi\) | |||||||
\(140\) | 117.895 | − | 204.200i | 0.842108 | − | 1.45857i | ||||
\(141\) | −21.7671 | + | 12.5672i | −0.154376 | + | 0.0891293i | ||||
\(142\) | 17.9890i | 0.126683i | ||||||||
\(143\) | 63.3430 | 0.442958 | ||||||||
\(144\) | 6.55217 | − | 11.3487i | 0.0455012 | − | 0.0788103i | ||||
\(145\) | −179.086 | + | 103.395i | −1.23507 | + | 0.713070i | ||||
\(146\) | 63.0415 | − | 36.3970i | 0.431791 | − | 0.249295i | ||||
\(147\) | −49.9206 | − | 28.8217i | −0.339596 | − | 0.196066i | ||||
\(148\) | 28.4557 | 0.192268 | ||||||||
\(149\) | 238.194 | 1.59862 | 0.799309 | − | 0.600920i | \(-0.205199\pi\) | ||||
0.799309 | + | 0.600920i | \(0.205199\pi\) | |||||||
\(150\) | 47.6625 | − | 82.5538i | 0.317750 | − | 0.550359i | ||||
\(151\) | −46.2665 | + | 80.1359i | −0.306401 | + | 0.530701i | −0.977572 | − | 0.210601i | \(-0.932458\pi\) |
0.671172 | + | 0.741302i | \(0.265791\pi\) | |||||||
\(152\) | 189.396 | + | 109.348i | 1.24603 | + | 0.719394i | ||||
\(153\) | 2.43983 | − | 4.22591i | 0.0159466 | − | 0.0276203i | ||||
\(154\) | −33.9093 | + | 19.5775i | −0.220190 | + | 0.127127i | ||||
\(155\) | 160.376 | + | 277.780i | 1.03468 | + | 1.79213i | ||||
\(156\) | −76.9704 | −0.493400 | ||||||||
\(157\) | 86.5926 | − | 149.983i | 0.551546 | − | 0.955305i | −0.446618 | − | 0.894725i | \(-0.647372\pi\) |
0.998163 | − | 0.0605800i | \(-0.0192950\pi\) | |||||||
\(158\) | −2.30475 | −0.0145870 | ||||||||
\(159\) | 113.353 | 0.712915 | ||||||||
\(160\) | 146.592 | + | 253.905i | 0.916200 | + | 1.58691i | ||||
\(161\) | − | 233.277i | − | 1.44892i | ||||||
\(162\) | −8.03824 | − | 4.64088i | −0.0496188 | − | 0.0286474i | ||||
\(163\) | −48.0514 | − | 83.2274i | −0.294794 | − | 0.510598i | 0.680143 | − | 0.733079i | \(-0.261918\pi\) |
−0.974937 | + | 0.222482i | \(0.928584\pi\) | |||||||
\(164\) | −87.2768 | − | 50.3893i | −0.532176 | − | 0.307252i | ||||
\(165\) | 55.5782 | − | 32.0881i | 0.336838 | − | 0.194473i | ||||
\(166\) | −29.1774 | + | 16.8456i | −0.175767 | + | 0.101479i | ||||
\(167\) | 30.7370 | + | 53.2380i | 0.184054 | + | 0.318790i | 0.943257 | − | 0.332063i | \(-0.107745\pi\) |
−0.759204 | + | 0.650853i | \(0.774411\pi\) | |||||||
\(168\) | 97.3334 | − | 56.1955i | 0.579365 | − | 0.334497i | ||||
\(169\) | 30.0155 | + | 51.9883i | 0.177606 | + | 0.307623i | ||||
\(170\) | 7.42486 | + | 12.8602i | 0.0436756 | + | 0.0756484i | ||||
\(171\) | −45.8574 | + | 79.4273i | −0.268172 | + | 0.464487i | ||||
\(172\) | 197.056 | − | 113.770i | 1.14567 | − | 0.661455i | ||||
\(173\) | −162.839 | + | 282.045i | −0.941263 | + | 1.63032i | −0.178198 | + | 0.983995i | \(0.557027\pi\) |
−0.763066 | + | 0.646321i | \(0.776307\pi\) | |||||||
\(174\) | −41.7270 | −0.239810 | ||||||||
\(175\) | −419.215 | + | 242.034i | −2.39552 | + | 1.38305i | ||||
\(176\) | 18.2829i | 0.103880i | ||||||||
\(177\) | 69.6045i | 0.393246i | ||||||||
\(178\) | 150.871 | + | 87.1056i | 0.847592 | + | 0.489357i | ||||
\(179\) | 95.8352i | 0.535392i | 0.963503 | + | 0.267696i | \(0.0862623\pi\) | ||||
−0.963503 | + | 0.267696i | \(0.913738\pi\) | |||||||
\(180\) | −67.5351 | + | 38.9914i | −0.375195 | + | 0.216619i | ||||
\(181\) | −17.3203 | − | 29.9996i | −0.0956923 | − | 0.165744i | 0.814205 | − | 0.580577i | \(-0.197173\pi\) |
−0.909897 | + | 0.414834i | \(0.863840\pi\) | |||||||
\(182\) | −122.607 | − | 70.7869i | −0.673662 | − | 0.388939i | ||||
\(183\) | 12.1810 | − | 21.0982i | 0.0665631 | − | 0.115291i | ||||
\(184\) | 159.322 | + | 91.9847i | 0.865882 | + | 0.499917i | ||||
\(185\) | −74.2926 | − | 42.8929i | −0.401582 | − | 0.231853i | ||||
\(186\) | 64.7227i | 0.347971i | ||||||||
\(187\) | 6.80801i | 0.0364065i | ||||||||
\(188\) | −21.3057 | + | 36.9025i | −0.113328 | + | 0.196290i | ||||
\(189\) | 23.5668 | + | 40.8188i | 0.124692 | + | 0.215973i | ||||
\(190\) | −139.552 | − | 241.712i | −0.734486 | − | 1.27217i | ||||
\(191\) | −247.333 | − | 142.798i | −1.29494 | − | 0.747633i | −0.315413 | − | 0.948954i | \(-0.602143\pi\) |
−0.979525 | + | 0.201321i | \(0.935476\pi\) | |||||||
\(192\) | 28.8967i | 0.150504i | ||||||||
\(193\) | −128.395 | −0.665260 | −0.332630 | − | 0.943057i | \(-0.607936\pi\) | ||||
−0.332630 | + | 0.943057i | \(0.607936\pi\) | |||||||
\(194\) | −96.8225 | − | 167.701i | −0.499085 | − | 0.864441i | ||||
\(195\) | 200.956 | + | 116.022i | 1.03054 | + | 0.594983i | ||||
\(196\) | −97.7248 | −0.498596 | ||||||||
\(197\) | 26.6529 | − | 15.3881i | 0.135294 | − | 0.0781120i | −0.430825 | − | 0.902435i | \(-0.641777\pi\) |
0.566119 | + | 0.824323i | \(0.308444\pi\) | |||||||
\(198\) | 12.9497 | 0.0654027 | ||||||||
\(199\) | −48.2515 | + | 83.5740i | −0.242470 | + | 0.419970i | −0.961417 | − | 0.275094i | \(-0.911291\pi\) |
0.718947 | + | 0.695064i | \(0.244624\pi\) | |||||||
\(200\) | − | 381.751i | − | 1.90876i | ||||||
\(201\) | −111.586 | + | 31.8669i | −0.555156 | + | 0.158542i | ||||
\(202\) | 7.98122 | 0.0395110 | ||||||||
\(203\) | 183.505 | + | 105.946i | 0.903964 | + | 0.521904i | ||||
\(204\) | − | 8.27267i | − | 0.0405523i | ||||||
\(205\) | 151.909 | + | 263.114i | 0.741020 | + | 1.28348i | ||||
\(206\) | 145.181i | 0.704764i | ||||||||
\(207\) | −38.5758 | + | 66.8152i | −0.186356 | + | 0.322779i | ||||
\(208\) | −57.2494 | + | 33.0530i | −0.275238 | + | 0.158909i | ||||
\(209\) | − | 127.959i | − | 0.612242i | ||||||
\(210\) | −143.436 | −0.683029 | ||||||||
\(211\) | −13.3867 | + | 23.1864i | −0.0634439 | + | 0.109888i | −0.896003 | − | 0.444049i | \(-0.853542\pi\) |
0.832559 | + | 0.553937i | \(0.186875\pi\) | |||||||
\(212\) | 166.426 | − | 96.0860i | 0.785028 | − | 0.453236i | ||||
\(213\) | −26.1644 | + | 15.1060i | −0.122838 | + | 0.0709203i | ||||
\(214\) | 4.09963 | + | 2.36692i | 0.0191571 | + | 0.0110604i | ||||
\(215\) | −685.969 | −3.19055 | ||||||||
\(216\) | −37.1710 | −0.172088 | ||||||||
\(217\) | 164.334 | − | 284.634i | 0.757298 | − | 1.31168i | ||||
\(218\) | −12.2431 | + | 21.2056i | −0.0561609 | + | 0.0972736i | ||||
\(219\) | 105.876 | + | 61.1278i | 0.483454 | + | 0.279122i | ||||
\(220\) | 54.4001 | − | 94.2237i | 0.247273 | − | 0.428290i | ||||
\(221\) | −21.3180 | + | 12.3079i | −0.0964615 | + | 0.0556921i | ||||
\(222\) | −8.65510 | − | 14.9911i | −0.0389869 | − | 0.0675273i | ||||
\(223\) | 10.9612 | 0.0491535 | 0.0245768 | − | 0.999698i | \(-0.492176\pi\) | ||||
0.0245768 | + | 0.999698i | \(0.492176\pi\) | |||||||
\(224\) | 150.209 | − | 260.170i | 0.670577 | − | 1.16147i | ||||
\(225\) | 160.096 | 0.711536 | ||||||||
\(226\) | −82.7396 | −0.366105 | ||||||||
\(227\) | 85.5638 | + | 148.201i | 0.376933 | + | 0.652867i | 0.990614 | − | 0.136687i | \(-0.0436454\pi\) |
−0.613681 | + | 0.789554i | \(0.710312\pi\) | |||||||
\(228\) | 155.487i | 0.681962i | ||||||||
\(229\) | −67.2387 | − | 38.8203i | −0.293619 | − | 0.169521i | 0.345954 | − | 0.938251i | \(-0.387555\pi\) |
−0.639573 | + | 0.768731i | \(0.720889\pi\) | |||||||
\(230\) | −117.393 | − | 203.331i | −0.510405 | − | 0.884048i | ||||
\(231\) | −56.9497 | − | 32.8799i | −0.246535 | − | 0.142337i | ||||
\(232\) | −144.718 | + | 83.5527i | −0.623783 | + | 0.360141i | ||||
\(233\) | −67.3067 | + | 38.8596i | −0.288870 | + | 0.166779i | −0.637432 | − | 0.770506i | \(-0.720003\pi\) |
0.348562 | + | 0.937286i | \(0.386670\pi\) | |||||||
\(234\) | 23.4113 | + | 40.5496i | 0.100048 | + | 0.173289i | ||||
\(235\) | 111.250 | − | 64.2304i | 0.473406 | − | 0.273321i | ||||
\(236\) | 59.0015 | + | 102.194i | 0.250006 | + | 0.433023i | ||||
\(237\) | −1.93538 | − | 3.35218i | −0.00816616 | − | 0.0141442i | ||||
\(238\) | 7.60807 | − | 13.1776i | 0.0319667 | − | 0.0553679i | ||||
\(239\) | −288.452 | + | 166.538i | −1.20691 | + | 0.696812i | −0.962084 | − | 0.272754i | \(-0.912065\pi\) |
−0.244830 | + | 0.969566i | \(0.578732\pi\) | |||||||
\(240\) | −33.4877 | + | 58.0025i | −0.139532 | + | 0.241677i | ||||
\(241\) | 146.823 | 0.609224 | 0.304612 | − | 0.952476i | \(-0.401473\pi\) | ||||
0.304612 | + | 0.952476i | \(0.401473\pi\) | |||||||
\(242\) | 92.4230 | − | 53.3604i | 0.381913 | − | 0.220498i | ||||
\(243\) | − | 15.5885i | − | 0.0641500i | ||||||
\(244\) | − | 41.3019i | − | 0.169270i | ||||||
\(245\) | 255.141 | + | 147.306i | 1.04139 | + | 0.601249i | ||||
\(246\) | 61.3056i | 0.249210i | ||||||||
\(247\) | 400.678 | − | 231.332i | 1.62218 | − | 0.936565i | ||||
\(248\) | 129.599 | + | 224.471i | 0.522575 | + | 0.905127i | ||||
\(249\) | −49.0026 | − | 28.2917i | −0.196798 | − | 0.113621i | ||||
\(250\) | −129.481 | + | 224.267i | −0.517923 | + | 0.897070i | ||||
\(251\) | −267.648 | − | 154.527i | −1.06633 | − | 0.615644i | −0.139151 | − | 0.990271i | \(-0.544437\pi\) |
−0.927176 | + | 0.374627i | \(0.877771\pi\) | |||||||
\(252\) | 69.2016 | + | 39.9536i | 0.274610 | + | 0.158546i | ||||
\(253\) | − | 107.640i | − | 0.425456i | ||||||
\(254\) | 244.011i | 0.960674i | ||||||||
\(255\) | −12.4698 | + | 21.5984i | −0.0489013 | + | 0.0846996i | ||||
\(256\) | 92.8067 | + | 160.746i | 0.362526 | + | 0.627914i | ||||
\(257\) | −166.839 | − | 288.974i | −0.649180 | − | 1.12441i | −0.983319 | − | 0.181889i | \(-0.941779\pi\) |
0.334139 | − | 0.942524i | \(-0.391554\pi\) | |||||||
\(258\) | −119.873 | − | 69.2088i | −0.464625 | − | 0.268251i | ||||
\(259\) | 87.9026i | 0.339392i | ||||||||
\(260\) | 393.391 | 1.51304 | ||||||||
\(261\) | −35.0396 | − | 60.6904i | −0.134251 | − | 0.232530i | ||||
\(262\) | 205.568 | + | 118.685i | 0.784609 | + | 0.452994i | ||||
\(263\) | −262.341 | −0.997496 | −0.498748 | − | 0.866747i | \(-0.666207\pi\) | ||||
−0.498748 | + | 0.866747i | \(0.666207\pi\) | |||||||
\(264\) | 44.9123 | − | 25.9301i | 0.170122 | − | 0.0982202i | ||||
\(265\) | −579.343 | −2.18620 | ||||||||
\(266\) | −142.996 | + | 247.676i | −0.537579 | + | 0.931114i | ||||
\(267\) | 292.583i | 1.09582i | ||||||||
\(268\) | −136.819 | + | 141.375i | −0.510518 | + | 0.527519i | ||||
\(269\) | −319.062 | −1.18611 | −0.593053 | − | 0.805164i | \(-0.702077\pi\) | ||||
−0.593053 | + | 0.805164i | \(0.702077\pi\) | |||||||
\(270\) | 41.0830 | + | 23.7193i | 0.152159 | + | 0.0878492i | ||||
\(271\) | − | 303.898i | − | 1.12140i | −0.828020 | − | 0.560698i | \(-0.810533\pi\) | ||
0.828020 | − | 0.560698i | \(-0.189467\pi\) | |||||||
\(272\) | −3.55249 | − | 6.15308i | −0.0130606 | − | 0.0226216i | ||||
\(273\) | − | 237.769i | − | 0.870950i | ||||||
\(274\) | −75.4614 | + | 130.703i | −0.275407 | + | 0.477018i | ||||
\(275\) | −193.437 | + | 111.681i | −0.703409 | + | 0.406113i | ||||
\(276\) | 130.798i | 0.473905i | ||||||||
\(277\) | 374.292 | 1.35123 | 0.675617 | − | 0.737253i | \(-0.263877\pi\) | ||||
0.675617 | + | 0.737253i | \(0.263877\pi\) | |||||||
\(278\) | 61.3369 | − | 106.239i | 0.220636 | − | 0.382154i | ||||
\(279\) | −94.1369 | + | 54.3500i | −0.337408 | + | 0.194803i | ||||
\(280\) | −497.465 | + | 287.212i | −1.77666 | + | 1.02576i | ||||
\(281\) | 132.843 | + | 76.6970i | 0.472751 | + | 0.272943i | 0.717391 | − | 0.696671i | \(-0.245336\pi\) |
−0.244639 | + | 0.969614i | \(0.578670\pi\) | |||||||
\(282\) | 25.9213 | 0.0919197 | ||||||||
\(283\) | −296.462 | −1.04757 | −0.523784 | − | 0.851851i | \(-0.675480\pi\) | ||||
−0.523784 | + | 0.851851i | \(0.675480\pi\) | |||||||
\(284\) | −25.6098 | + | 44.3574i | −0.0901752 | + | 0.156188i | ||||
\(285\) | 234.374 | − | 405.948i | 0.822366 | − | 1.42438i | ||||
\(286\) | −56.5740 | − | 32.6630i | −0.197811 | − | 0.114206i | ||||
\(287\) | 155.658 | − | 269.607i | 0.542361 | − | 0.939397i | ||||
\(288\) | −86.0460 | + | 49.6787i | −0.298771 | + | 0.172495i | ||||
\(289\) | 143.177 | + | 247.990i | 0.495423 | + | 0.858097i | ||||
\(290\) | 213.264 | 0.735393 | ||||||||
\(291\) | 162.611 | − | 281.650i | 0.558800 | − | 0.967869i | ||||
\(292\) | 207.264 | 0.709809 | ||||||||
\(293\) | 4.07829 | 0.0139191 | 0.00695954 | − | 0.999976i | \(-0.497785\pi\) | ||||
0.00695954 | + | 0.999976i | \(0.497785\pi\) | |||||||
\(294\) | 29.7240 | + | 51.4835i | 0.101102 | + | 0.175114i | ||||
\(295\) | − | 355.744i | − | 1.20591i | ||||||
\(296\) | −60.0353 | − | 34.6614i | −0.202822 | − | 0.117099i | ||||
\(297\) | 10.8744 | + | 18.8349i | 0.0366140 | + | 0.0634173i | ||||
\(298\) | −212.740 | − | 122.826i | −0.713893 | − | 0.412166i | ||||
\(299\) | 337.055 | − | 194.599i | 1.12728 | − | 0.650833i | ||||
\(300\) | 235.053 | − | 135.708i | 0.783510 | − | 0.452360i | ||||
\(301\) | 351.448 | + | 608.726i | 1.16760 | + | 2.02234i | ||||
\(302\) | 82.6447 | − | 47.7149i | 0.273658 | − | 0.157996i | ||||
\(303\) | 6.70212 | + | 11.6084i | 0.0221192 | + | 0.0383116i | ||||
\(304\) | 66.7700 | + | 115.649i | 0.219638 | + | 0.380425i | ||||
\(305\) | −62.2566 | + | 107.832i | −0.204120 | + | 0.353546i | ||||
\(306\) | −4.35821 | + | 2.51621i | −0.0142425 | + | 0.00822292i | ||||
\(307\) | 184.507 | − | 319.576i | 0.601001 | − | 1.04096i | −0.391668 | − | 0.920106i | \(-0.628102\pi\) |
0.992670 | − | 0.120858i | \(-0.0385647\pi\) | |||||||
\(308\) | −111.485 | −0.361964 | ||||||||
\(309\) | −211.161 | + | 121.914i | −0.683370 | + | 0.394544i | ||||
\(310\) | − | 330.794i | − | 1.06708i | ||||||
\(311\) | 451.365i | 1.45134i | 0.688046 | + | 0.725668i | \(0.258469\pi\) | ||||
−0.688046 | + | 0.725668i | \(0.741531\pi\) | |||||||
\(312\) | 162.391 | + | 93.7562i | 0.520482 | + | 0.300501i | ||||
\(313\) | − | 302.563i | − | 0.966654i | −0.875440 | − | 0.483327i | \(-0.839428\pi\) | ||
0.875440 | − | 0.483327i | \(-0.160572\pi\) | |||||||
\(314\) | −154.678 | + | 89.3036i | −0.492606 | + | 0.284406i | ||||
\(315\) | −120.448 | − | 208.623i | −0.382376 | − | 0.662295i | ||||
\(316\) | −5.68306 | − | 3.28112i | −0.0179844 | − | 0.0103833i | ||||
\(317\) | 217.373 | − | 376.500i | 0.685718 | − | 1.18770i | −0.287493 | − | 0.957783i | \(-0.592822\pi\) |
0.973211 | − | 0.229915i | \(-0.0738449\pi\) | |||||||
\(318\) | −101.240 | − | 58.4511i | −0.318365 | − | 0.183808i | ||||
\(319\) | 84.6741 | + | 48.8866i | 0.265436 | + | 0.153250i | ||||
\(320\) | − | 147.689i | − | 0.461529i | ||||||
\(321\) | 7.95036i | 0.0247675i | ||||||||
\(322\) | −120.290 | + | 208.348i | −0.373571 | + | 0.647045i | ||||
\(323\) | 24.8632 | + | 43.0643i | 0.0769758 | + | 0.133326i | ||||
\(324\) | −13.2138 | − | 22.8870i | −0.0407834 | − | 0.0706390i | ||||
\(325\) | −699.417 | − | 403.808i | −2.15205 | − | 1.24249i | ||||
\(326\) | 99.1114i | 0.304023i | ||||||||
\(327\) | −41.1238 | −0.125761 | ||||||||
\(328\) | 122.756 | + | 212.620i | 0.374258 | + | 0.648233i | ||||
\(329\) | −113.996 | − | 65.8154i | −0.346491 | − | 0.200047i | ||||
\(330\) | −66.1853 | −0.200562 | ||||||||
\(331\) | −428.471 | + | 247.378i | −1.29447 | + | 0.747365i | −0.979444 | − | 0.201716i | \(-0.935348\pi\) |
−0.315030 | + | 0.949082i | \(0.602015\pi\) | |||||||
\(332\) | −95.9277 | −0.288939 | ||||||||
\(333\) | 14.5360 | − | 25.1771i | 0.0436516 | − | 0.0756069i | ||||
\(334\) | − | 63.3985i | − | 0.189816i | ||||||
\(335\) | 570.311 | − | 162.870i | 1.70242 | − | 0.486179i | ||||
\(336\) | 68.6282 | 0.204251 | ||||||||
\(337\) | 504.751 | + | 291.418i | 1.49778 | + | 0.864741i | 0.999997 | − | 0.00256219i | \(-0.000815570\pi\) |
0.497779 | + | 0.867304i | \(0.334149\pi\) | |||||||
\(338\) | − | 61.9103i | − | 0.183167i | ||||||
\(339\) | −69.4795 | − | 120.342i | −0.204954 | − | 0.354991i | ||||
\(340\) | 42.2811i | 0.124356i | ||||||||
\(341\) | 75.8280 | − | 131.338i | 0.222370 | − | 0.385155i | ||||
\(342\) | 81.9139 | − | 47.2930i | 0.239514 | − | 0.138284i | ||||
\(343\) | 142.590i | 0.415715i | ||||||||
\(344\) | −554.326 | −1.61141 | ||||||||
\(345\) | 197.159 | − | 341.489i | 0.571474 | − | 0.989822i | ||||
\(346\) | 290.874 | − | 167.936i | 0.840678 | − | 0.485365i | ||||
\(347\) | −150.759 | + | 87.0408i | −0.434464 | + | 0.250838i | −0.701247 | − | 0.712919i | \(-0.747373\pi\) |
0.266782 | + | 0.963757i | \(0.414040\pi\) | |||||||
\(348\) | −102.891 | − | 59.4039i | −0.295663 | − | 0.170701i | ||||
\(349\) | 241.316 | 0.691451 | 0.345725 | − | 0.938336i | \(-0.387633\pi\) | ||||
0.345725 | + | 0.938336i | \(0.387633\pi\) | |||||||
\(350\) | 499.223 | 1.42635 | ||||||||
\(351\) | −39.3187 | + | 68.1020i | −0.112019 | + | 0.194023i | ||||
\(352\) | 69.3107 | − | 120.050i | 0.196905 | − | 0.341050i | ||||
\(353\) | 88.4568 | + | 51.0706i | 0.250586 | + | 0.144676i | 0.620033 | − | 0.784576i | \(-0.287119\pi\) |
−0.369447 | + | 0.929252i | \(0.620453\pi\) | |||||||
\(354\) | 35.8918 | − | 62.1664i | 0.101389 | − | 0.175611i | ||||
\(355\) | 133.725 | − | 77.2060i | 0.376689 | − | 0.217482i | ||||
\(356\) | 248.013 | + | 429.571i | 0.696666 | + | 1.20666i | ||||
\(357\) | 25.5551 | 0.0715829 | ||||||||
\(358\) | 49.4177 | − | 85.5940i | 0.138038 | − | 0.239090i | ||||
\(359\) | 434.606 | 1.21060 | 0.605301 | − | 0.795996i | \(-0.293053\pi\) | ||||
0.605301 | + | 0.795996i | \(0.293053\pi\) | |||||||
\(360\) | 189.979 | 0.527719 | ||||||||
\(361\) | −286.811 | − | 496.771i | −0.794490 | − | 1.37610i | ||||
\(362\) | 35.7251i | 0.0986881i | ||||||||
\(363\) | 155.222 | + | 89.6174i | 0.427608 | + | 0.246880i | ||||
\(364\) | −201.549 | − | 349.094i | −0.553707 | − | 0.959049i | ||||
\(365\) | −541.128 | − | 312.421i | −1.48254 | − | 0.855947i | ||||
\(366\) | −21.7587 | + | 12.5624i | −0.0594500 | + | 0.0343235i | ||||
\(367\) | −354.050 | + | 204.411i | −0.964713 | + | 0.556978i | −0.897620 | − | 0.440769i | \(-0.854706\pi\) |
−0.0670929 | + | 0.997747i | \(0.521372\pi\) | |||||||
\(368\) | 56.1678 | + | 97.2854i | 0.152630 | + | 0.264363i | ||||
\(369\) | −89.1670 | + | 51.4806i | −0.241645 | + | 0.139514i | ||||
\(370\) | 44.2357 | + | 76.6185i | 0.119556 | + | 0.207077i | ||||
\(371\) | 296.819 | + | 514.106i | 0.800052 | + | 1.38573i | ||||
\(372\) | −92.1414 | + | 159.594i | −0.247692 | + | 0.429015i | ||||
\(373\) | −86.8670 | + | 50.1527i | −0.232887 | + | 0.134458i | −0.611903 | − | 0.790933i | \(-0.709596\pi\) |
0.379016 | + | 0.925390i | \(0.376263\pi\) | |||||||
\(374\) | 3.51057 | − | 6.08049i | 0.00938656 | − | 0.0162580i | ||||
\(375\) | −434.919 | −1.15978 | ||||||||
\(376\) | 89.9005 | − | 51.9041i | 0.239097 | − | 0.138043i | ||||
\(377\) | 353.521i | 0.937722i | ||||||||
\(378\) | − | 48.6091i | − | 0.128596i | ||||||
\(379\) | 359.205 | + | 207.387i | 0.947772 | + | 0.547196i | 0.892388 | − | 0.451269i | \(-0.149028\pi\) |
0.0553837 | + | 0.998465i | \(0.482362\pi\) | |||||||
\(380\) | − | 794.686i | − | 2.09128i | ||||||
\(381\) | −354.906 | + | 204.905i | −0.931512 | + | 0.537809i | ||||
\(382\) | 147.268 | + | 255.076i | 0.385519 | + | 0.667739i | ||||
\(383\) | 535.422 | + | 309.126i | 1.39797 | + | 0.807118i | 0.994180 | − | 0.107733i | \(-0.0343593\pi\) |
0.403790 | + | 0.914852i | \(0.367693\pi\) | |||||||
\(384\) | −99.8273 | + | 172.906i | −0.259967 | + | 0.450276i | ||||
\(385\) | 291.066 | + | 168.047i | 0.756017 | + | 0.436486i | ||||
\(386\) | 114.675 | + | 66.2074i | 0.297084 | + | 0.171522i | ||||
\(387\) | − | 232.468i | − | 0.600694i | ||||||
\(388\) | − | 551.359i | − | 1.42103i | ||||||
\(389\) | −25.6639 | + | 44.4512i | −0.0659740 | + | 0.114270i | −0.897126 | − | 0.441775i | \(-0.854349\pi\) |
0.831152 | + | 0.556046i | \(0.187682\pi\) | |||||||
\(390\) | −119.654 | − | 207.247i | −0.306805 | − | 0.531402i | ||||
\(391\) | 20.9152 | + | 36.2262i | 0.0534916 | + | 0.0926501i | ||||
\(392\) | 206.178 | + | 119.037i | 0.525963 | + | 0.303665i | ||||
\(393\) | 398.655i | 1.01439i | ||||||||
\(394\) | −31.7396 | −0.0805575 | ||||||||
\(395\) | 9.89161 | + | 17.1328i | 0.0250421 | + | 0.0433741i | ||||
\(396\) | 31.9315 | + | 18.4357i | 0.0806352 | + | 0.0465547i | ||||
\(397\) | 386.868 | 0.974479 | 0.487239 | − | 0.873268i | \(-0.338004\pi\) | ||||
0.487239 | + | 0.873268i | \(0.338004\pi\) | |||||||
\(398\) | 86.1905 | − | 49.7621i | 0.216559 | − | 0.125030i | ||||
\(399\) | −480.316 | −1.20380 | ||||||||
\(400\) | 116.553 | − | 201.875i | 0.291381 | − | 0.504687i | ||||
\(401\) | 542.650i | 1.35324i | 0.736332 | + | 0.676620i | \(0.236556\pi\) | ||||
−0.736332 | + | 0.676620i | \(0.763444\pi\) | |||||||
\(402\) | 116.094 | + | 29.0783i | 0.288792 | + | 0.0723341i | ||||
\(403\) | 548.347 | 1.36066 | ||||||||
\(404\) | 19.6801 | + | 11.3623i | 0.0487132 | + | 0.0281246i | ||||
\(405\) | 79.6717i | 0.196720i | ||||||||
\(406\) | −109.263 | − | 189.250i | −0.269121 | − | 0.466132i | ||||
\(407\) | 40.5607i | 0.0996577i | ||||||||
\(408\) | −10.0768 | + | 17.4535i | −0.0246980 | + | 0.0427782i | ||||
\(409\) | 70.8960 | − | 40.9318i | 0.173340 | − | 0.100078i | −0.410820 | − | 0.911717i | \(-0.634757\pi\) |
0.584160 | + | 0.811639i | \(0.301424\pi\) | |||||||
\(410\) | − | 313.330i | − | 0.764219i | ||||||
\(411\) | −253.471 | −0.616717 | ||||||||
\(412\) | −206.685 | + | 357.989i | −0.501663 | + | 0.868905i | ||||
\(413\) | −315.686 | + | 182.261i | −0.764373 | + | 0.441311i | ||||
\(414\) | 68.9070 | − | 39.7835i | 0.166442 | − | 0.0960953i | ||||
\(415\) | 250.449 | + | 144.597i | 0.603493 | + | 0.348427i | ||||
\(416\) | 501.217 | 1.20485 | ||||||||
\(417\) | 206.027 | 0.494070 | ||||||||
\(418\) | −65.9823 | + | 114.285i | −0.157852 | + | 0.273408i | ||||
\(419\) | −86.7252 | + | 150.213i | −0.206981 | + | 0.358502i | −0.950762 | − | 0.309921i | \(-0.899697\pi\) |
0.743781 | + | 0.668424i | \(0.233031\pi\) | |||||||
\(420\) | −353.686 | − | 204.200i | −0.842108 | − | 0.486192i | ||||
\(421\) | 190.924 | − | 330.691i | 0.453502 | − | 0.785488i | −0.545099 | − | 0.838372i | \(-0.683508\pi\) |
0.998601 | + | 0.0528834i | \(0.0168412\pi\) | |||||||
\(422\) | 23.9123 | − | 13.8058i | 0.0566642 | − | 0.0327151i | ||||
\(423\) | 21.7671 | + | 37.7017i | 0.0514588 | + | 0.0891293i | ||||
\(424\) | −468.162 | −1.10416 | ||||||||
\(425\) | 43.4007 | − | 75.1722i | 0.102119 | − | 0.176876i | ||||
\(426\) | 31.1579 | 0.0731406 | ||||||||
\(427\) | 127.586 | 0.298796 | ||||||||
\(428\) | 6.73926 | + | 11.6727i | 0.0157459 | + | 0.0272728i | ||||
\(429\) | − | 109.713i | − | 0.255742i | ||||||
\(430\) | 612.665 | + | 353.722i | 1.42480 | + | 0.822610i | ||||
\(431\) | −167.188 | − | 289.578i | −0.387907 | − | 0.671874i | 0.604261 | − | 0.796786i | \(-0.293468\pi\) |
−0.992168 | + | 0.124912i | \(0.960135\pi\) | |||||||
\(432\) | −19.6565 | − | 11.3487i | −0.0455012 | − | 0.0262701i | ||||
\(433\) | −286.583 | + | 165.459i | −0.661854 | + | 0.382121i | −0.792983 | − | 0.609244i | \(-0.791473\pi\) |
0.131129 | + | 0.991365i | \(0.458140\pi\) | |||||||
\(434\) | −293.545 | + | 169.478i | −0.676371 | + | 0.390503i | ||||
\(435\) | 179.086 | + | 310.185i | 0.411691 | + | 0.713070i | ||||
\(436\) | −60.3781 | + | 34.8593i | −0.138482 | + | 0.0799526i | ||||
\(437\) | −393.108 | − | 680.882i | −0.899560 | − | 1.55808i | ||||
\(438\) | −63.0415 | − | 109.191i | −0.143930 | − | 0.249295i | ||||
\(439\) | −100.383 | + | 173.868i | −0.228663 | + | 0.396055i | −0.957412 | − | 0.288725i | \(-0.906769\pi\) |
0.728749 | + | 0.684780i | \(0.240102\pi\) | |||||||
\(440\) | −229.544 | + | 132.527i | −0.521691 | + | 0.301199i | ||||
\(441\) | −49.9206 | + | 86.4650i | −0.113199 | + | 0.196066i | ||||
\(442\) | 25.3865 | 0.0574356 | ||||||||
\(443\) | 566.736 | − | 327.205i | 1.27931 | − | 0.738612i | 0.302591 | − | 0.953121i | \(-0.402148\pi\) |
0.976722 | + | 0.214509i | \(0.0688151\pi\) | |||||||
\(444\) | − | 49.2868i | − | 0.111006i | ||||||
\(445\) | − | 1495.37i | − | 3.36039i | ||||||
\(446\) | −9.78989 | − | 5.65220i | −0.0219504 | − | 0.0126731i | ||||
\(447\) | − | 412.564i | − | 0.922963i | ||||||
\(448\) | −131.059 | + | 75.6669i | −0.292542 | + | 0.168899i | ||||
\(449\) | −48.5320 | − | 84.0599i | −0.108089 | − | 0.187216i | 0.806907 | − | 0.590678i | \(-0.201140\pi\) |
−0.914996 | + | 0.403463i | \(0.867807\pi\) | |||||||
\(450\) | −142.987 | − | 82.5538i | −0.317750 | − | 0.183453i | ||||
\(451\) | 71.8247 | − | 124.404i | 0.159256 | − | 0.275840i | ||||
\(452\) | −204.020 | − | 117.791i | −0.451372 | − | 0.260599i | ||||
\(453\) | 138.799 | + | 80.1359i | 0.306401 | + | 0.176900i | ||||
\(454\) | − | 176.485i | − | 0.388733i | ||||||
\(455\) | 1215.23i | 2.67083i | ||||||||
\(456\) | 189.396 | − | 328.044i | 0.415342 | − | 0.719394i | ||||
\(457\) | −7.57835 | − | 13.1261i | −0.0165828 | − | 0.0287223i | 0.857615 | − | 0.514292i | \(-0.171945\pi\) |
−0.874198 | + | 0.485570i | \(0.838612\pi\) | |||||||
\(458\) | 40.0356 | + | 69.3437i | 0.0874140 | + | 0.151405i | ||||
\(459\) | −7.31950 | − | 4.22591i | −0.0159466 | − | 0.00920678i | ||||
\(460\) | − | 668.500i | − | 1.45326i | ||||||
\(461\) | −199.095 | −0.431875 | −0.215938 | − | 0.976407i | \(-0.569281\pi\) | ||||
−0.215938 | + | 0.976407i | \(0.569281\pi\) | |||||||
\(462\) | 33.9093 | + | 58.7326i | 0.0733967 | + | 0.127127i | ||||
\(463\) | −735.628 | − | 424.715i | −1.58883 | − | 0.917312i | −0.993500 | − | 0.113830i | \(-0.963688\pi\) |
−0.595330 | − | 0.803481i | \(-0.702979\pi\) | |||||||
\(464\) | −102.038 | −0.219909 | ||||||||
\(465\) | 481.128 | − | 277.780i | 1.03468 | − | 0.597375i | ||||
\(466\) | 80.1523 | 0.172001 | ||||||||
\(467\) | 355.436 | − | 615.632i | 0.761104 | − | 1.31827i | −0.181178 | − | 0.983450i | \(-0.557991\pi\) |
0.942282 | − | 0.334820i | \(-0.108676\pi\) | |||||||
\(468\) | 133.317i | 0.284865i | ||||||||
\(469\) | −436.722 | − | 422.647i | −0.931177 | − | 0.901166i | ||||
\(470\) | −132.482 | −0.281878 | ||||||||
\(471\) | −259.778 | − | 149.983i | −0.551546 | − | 0.318435i | ||||
\(472\) | − | 287.474i | − | 0.609056i | ||||||
\(473\) | 162.168 | + | 280.883i | 0.342849 | + | 0.593833i | ||||
\(474\) | 3.99194i | 0.00842181i | ||||||||
\(475\) | −815.729 | + | 1412.88i | −1.71733 | + | 2.97449i | ||||
\(476\) | 37.5201 | − | 21.6622i | 0.0788237 | − | 0.0455089i | ||||
\(477\) | − | 196.334i | − | 0.411601i | ||||||
\(478\) | 343.503 | 0.718627 | ||||||||
\(479\) | −206.555 | + | 357.764i | −0.431221 | + | 0.746898i | −0.996979 | − | 0.0776743i | \(-0.975251\pi\) |
0.565757 | + | 0.824572i | \(0.308584\pi\) | |||||||
\(480\) | 439.776 | − | 253.905i | 0.916200 | − | 0.528968i | ||||
\(481\) | −127.008 | + | 73.3281i | −0.264050 | + | 0.152449i | ||||
\(482\) | −131.133 | − | 75.7098i | −0.272061 | − | 0.157074i | ||||
\(483\) | −404.047 | −0.836537 | ||||||||
\(484\) | 303.863 | 0.627816 | ||||||||
\(485\) | −831.094 | + | 1439.50i | −1.71360 | + | 2.96803i | ||||
\(486\) | −8.03824 | + | 13.9226i | −0.0165396 | + | 0.0286474i | ||||
\(487\) | −190.165 | − | 109.792i | −0.390483 | − | 0.225446i | 0.291886 | − | 0.956453i | \(-0.405717\pi\) |
−0.682370 | + | 0.731007i | \(0.739050\pi\) | |||||||
\(488\) | −50.3091 | + | 87.1379i | −0.103092 | + | 0.178561i | ||||
\(489\) | −144.154 | + | 83.2274i | −0.294794 | + | 0.170199i | ||||
\(490\) | −151.918 | − | 263.129i | −0.310036 | − | 0.536998i | ||||
\(491\) | 403.831 | 0.822467 | 0.411233 | − | 0.911530i | \(-0.365098\pi\) | ||||
0.411233 | + | 0.911530i | \(0.365098\pi\) | |||||||
\(492\) | −87.2768 | + | 151.168i | −0.177392 | + | 0.307252i | ||||
\(493\) | −37.9959 | −0.0770708 | ||||||||
\(494\) | −477.148 | −0.965886 | ||||||||
\(495\) | −55.5782 | − | 96.2643i | −0.112279 | − | 0.194473i | ||||
\(496\) | 158.271i | 0.319095i | ||||||||
\(497\) | −137.025 | − | 79.1112i | −0.275703 | − | 0.159177i | ||||
\(498\) | 29.1774 | + | 50.5367i | 0.0585891 | + | 0.101479i | ||||
\(499\) | −480.448 | − | 277.387i | −0.962821 | − | 0.555885i | −0.0657810 | − | 0.997834i | \(-0.520954\pi\) |
−0.897040 | + | 0.441949i | \(0.854287\pi\) | |||||||
\(500\) | −638.549 | + | 368.667i | −1.27710 | + | 0.737333i | ||||
\(501\) | 92.2109 | − | 53.2380i | 0.184054 | − | 0.106263i | ||||
\(502\) | 159.364 | + | 276.027i | 0.317459 | + | 0.549855i | ||||
\(503\) | 429.174 | − | 247.784i | 0.853228 | − | 0.492611i | −0.00851063 | − | 0.999964i | \(-0.502709\pi\) |
0.861739 | + | 0.507352i | \(0.169376\pi\) | |||||||
\(504\) | −97.3334 | − | 168.586i | −0.193122 | − | 0.334497i | ||||
\(505\) | −34.2541 | − | 59.3299i | −0.0678300 | − | 0.117485i | ||||
\(506\) | −55.5051 | + | 96.1377i | −0.109694 | + | 0.189995i | ||||
\(507\) | 90.0464 | − | 51.9883i | 0.177606 | − | 0.102541i | ||||
\(508\) | −347.383 | + | 601.685i | −0.683824 | + | 1.18442i | ||||
\(509\) | −334.188 | −0.656559 | −0.328279 | − | 0.944581i | \(-0.606469\pi\) | ||||
−0.328279 | + | 0.944581i | \(0.606469\pi\) | |||||||
\(510\) | 22.2746 | − | 12.8602i | 0.0436756 | − | 0.0252161i | ||||
\(511\) | 640.260i | 1.25295i | ||||||||
\(512\) | 269.658i | 0.526676i | ||||||||
\(513\) | 137.572 | + | 79.4273i | 0.268172 | + | 0.154829i | ||||
\(514\) | 344.125i | 0.669503i | ||||||||
\(515\) | 1079.23 | − | 623.095i | 2.09560 | − | 1.20989i | ||||
\(516\) | −197.056 | − | 341.311i | −0.381891 | − | 0.661455i | ||||
\(517\) | −52.6007 | − | 30.3690i | −0.101742 | − | 0.0587408i | ||||
\(518\) | 45.3273 | − | 78.5091i | 0.0875044 | − | 0.151562i | ||||
\(519\) | 488.516 | + | 282.045i | 0.941263 | + | 0.543439i | ||||
\(520\) | −829.969 | − | 479.183i | −1.59609 | − | 0.921505i | ||||
\(521\) | 123.707i | 0.237442i | 0.992928 | + | 0.118721i | \(0.0378794\pi\) | ||||
−0.992928 | + | 0.118721i | \(0.962121\pi\) | |||||||
\(522\) | 72.2732i | 0.138454i | ||||||||
\(523\) | 27.0155 | − | 46.7923i | 0.0516549 | − | 0.0894690i | −0.839042 | − | 0.544067i | \(-0.816884\pi\) |
0.890697 | + | 0.454598i | \(0.150217\pi\) | |||||||
\(524\) | 337.927 | + | 585.306i | 0.644898 | + | 1.11700i | ||||
\(525\) | 419.215 | + | 726.102i | 0.798505 | + | 1.38305i | ||||
\(526\) | 234.307 | + | 135.277i | 0.445451 | + | 0.257181i | ||||
\(527\) | 58.9355i | 0.111832i | ||||||||
\(528\) | 31.6669 | 0.0599752 | ||||||||
\(529\) | −66.1868 | − | 114.639i | −0.125117 | − | 0.216709i | ||||
\(530\) | 517.433 | + | 298.740i | 0.976289 | + | 0.563660i | ||||
\(531\) | 120.558 | 0.227040 | ||||||||
\(532\) | −705.201 | + | 407.148i | −1.32557 | + | 0.765316i | ||||
\(533\) | 519.397 | 0.974478 | ||||||||
\(534\) | 150.871 | − | 261.317i | 0.282531 | − | 0.489357i | ||||
\(535\) | − | 40.6338i | − | 0.0759511i | ||||||
\(536\) | 460.864 | − | 131.614i | 0.859820 | − | 0.245548i | ||||
\(537\) | 165.991 | 0.309109 | ||||||||
\(538\) | 284.967 | + | 164.526i | 0.529678 | + | 0.305810i | ||||
\(539\) | − | 139.297i | − | 0.258435i | ||||||
\(540\) | 67.5351 | + | 116.974i | 0.125065 | + | 0.216619i | ||||
\(541\) | 531.474i | 0.982391i | 0.871049 | + | 0.491196i | \(0.163440\pi\) | ||||
−0.871049 | + | 0.491196i | \(0.836560\pi\) | |||||||
\(542\) | −156.706 | + | 271.423i | −0.289126 | + | 0.500781i | ||||
\(543\) | −51.9609 | + | 29.9996i | −0.0956923 | + | 0.0552480i | ||||
\(544\) | 53.8700i | 0.0990258i | ||||||||
\(545\) | 210.182 | 0.385654 | ||||||||
\(546\) | −122.607 | + | 212.361i | −0.224554 | + | 0.388939i | ||||
\(547\) | −160.609 | + | 92.7274i | −0.293617 | + | 0.169520i | −0.639572 | − | 0.768731i | \(-0.720888\pi\) |
0.345955 | + | 0.938251i | \(0.387555\pi\) | |||||||
\(548\) | −372.147 | + | 214.859i | −0.679100 | + | 0.392078i | ||||
\(549\) | −36.5431 | − | 21.0982i | −0.0665631 | − | 0.0384302i | ||||
\(550\) | 230.355 | 0.418827 | ||||||||
\(551\) | 714.145 | 1.29609 | ||||||||
\(552\) | 159.322 | − | 275.954i | 0.288627 | − | 0.499917i | ||||
\(553\) | 10.1357 | − | 17.5555i | 0.0183286 | − | 0.0317460i | ||||
\(554\) | −334.294 | − | 193.005i | −0.603419 | − | 0.348384i | ||||
\(555\) | −74.2926 | + | 128.679i | −0.133861 | + | 0.231853i | ||||
\(556\) | 302.490 | − | 174.643i | 0.544047 | − | 0.314106i | ||||
\(557\) | −418.899 | − | 725.555i | −0.752063 | − | 1.30261i | −0.946821 | − | 0.321760i | \(-0.895726\pi\) |
0.194758 | − | 0.980851i | \(-0.437608\pi\) | |||||||
\(558\) | 112.103 | 0.200901 | ||||||||
\(559\) | −586.354 | + | 1015.59i | −1.04893 | + | 1.81681i | ||||
\(560\) | −350.755 | −0.626348 | ||||||||
\(561\) | 11.7918 | 0.0210193 | ||||||||
\(562\) | −79.0981 | − | 137.002i | −0.140744 | − | 0.243776i | ||||
\(563\) | − | 848.338i | − | 1.50682i | −0.657553 | − | 0.753408i | \(-0.728408\pi\) | ||
0.657553 | − | 0.753408i | \(-0.271592\pi\) | |||||||
\(564\) | 63.9170 | + | 36.9025i | 0.113328 | + | 0.0654300i | ||||
\(565\) | 355.106 | + | 615.061i | 0.628505 | + | 1.08860i | ||||
\(566\) | 264.781 | + | 152.872i | 0.467811 | + | 0.270091i | ||||
\(567\) | 70.7003 | − | 40.8188i | 0.124692 | − | 0.0719909i | ||||
\(568\) | 108.062 | − | 62.3895i | 0.190250 | − | 0.109841i | ||||
\(569\) | −125.522 | − | 217.411i | −0.220602 | − | 0.382093i | 0.734389 | − | 0.678729i | \(-0.237469\pi\) |
−0.954991 | + | 0.296635i | \(0.904135\pi\) | |||||||
\(570\) | −418.657 | + | 241.712i | −0.734486 | + | 0.424056i | ||||
\(571\) | 43.1664 | + | 74.7664i | 0.0755979 | + | 0.130939i | 0.901346 | − | 0.433100i | \(-0.142580\pi\) |
−0.825748 | + | 0.564039i | \(0.809247\pi\) | |||||||
\(572\) | −93.0004 | − | 161.081i | −0.162588 | − | 0.281611i | ||||
\(573\) | −247.333 | + | 428.394i | −0.431646 | + | 0.747633i | ||||
\(574\) | −278.047 | + | 160.531i | −0.484403 | + | 0.279670i | ||||
\(575\) | −686.202 | + | 1188.54i | −1.19339 | + | 2.06702i | ||||
\(576\) | 50.0505 | 0.0868933 | ||||||||
\(577\) | −563.673 | + | 325.437i | −0.976903 | + | 0.564015i | −0.901334 | − | 0.433126i | \(-0.857411\pi\) |
−0.0755690 | + | 0.997141i | \(0.524077\pi\) | |||||||
\(578\) | − | 295.319i | − | 0.510933i | ||||||
\(579\) | 222.387i | 0.384088i | ||||||||
\(580\) | 525.868 | + | 303.610i | 0.906669 | + | 0.523466i | ||||
\(581\) | − | 296.330i | − | 0.510035i | ||||||
\(582\) | −290.467 | + | 167.701i | −0.499085 | + | 0.288147i | ||||
\(583\) | 136.961 | + | 237.223i | 0.234924 | + | 0.406900i | ||||
\(584\) | −437.281 | − | 252.464i | −0.748769 | − | 0.432302i | ||||
\(585\) | 200.956 | − | 348.065i | 0.343514 | − | 0.594983i | ||||
\(586\) | −3.64247 | − | 2.10298i | −0.00621582 | − | 0.00358871i | ||||
\(587\) | 246.745 | + | 142.459i | 0.420350 | + | 0.242689i | 0.695227 | − | 0.718790i | \(-0.255304\pi\) |
−0.274877 | + | 0.961479i | \(0.588637\pi\) | |||||||
\(588\) | 169.264i | 0.287865i | ||||||||
\(589\) | − | 1107.71i | − | 1.88066i | ||||||
\(590\) | −183.441 | + | 317.729i | −0.310917 | + | 0.538523i | ||||
\(591\) | −26.6529 | − | 46.1642i | −0.0450980 | − | 0.0781120i | ||||
\(592\) | −21.1649 | − | 36.6588i | −0.0357516 | − | 0.0619236i | ||||
\(593\) | −190.443 | − | 109.952i | −0.321152 | − | 0.185417i | 0.330754 | − | 0.943717i | \(-0.392697\pi\) |
−0.651906 | + | 0.758300i | \(0.726030\pi\) | |||||||
\(594\) | − | 22.4296i | − | 0.0377603i | ||||||
\(595\) | −130.611 | −0.219514 | ||||||||
\(596\) | −349.717 | − | 605.728i | −0.586774 | − | 1.01632i | ||||
\(597\) | 144.754 | + | 83.5740i | 0.242470 | + | 0.139990i | ||||
\(598\) | −401.382 | −0.671208 | ||||||||
\(599\) | −69.0141 | + | 39.8453i | −0.115215 | + | 0.0665197i | −0.556500 | − | 0.830847i | \(-0.687856\pi\) |
0.441285 | + | 0.897367i | \(0.354523\pi\) | |||||||
\(600\) | −661.213 | −1.10202 | ||||||||
\(601\) | 553.344 | − | 958.421i | 0.920706 | − | 1.59471i | 0.122381 | − | 0.992483i | \(-0.460947\pi\) |
0.798325 | − | 0.602227i | \(-0.205720\pi\) | |||||||
\(602\) | − | 724.901i | − | 1.20416i | ||||||
\(603\) | 55.1951 | + | 193.273i | 0.0915342 | + | 0.320519i | ||||
\(604\) | 271.714 | 0.449858 | ||||||||
\(605\) | −793.330 | − | 458.029i | −1.31129 | − | 0.757073i | ||||
\(606\) | − | 13.8239i | − | 0.0228117i | ||||||
\(607\) | 100.021 | + | 173.241i | 0.164779 | + | 0.285405i | 0.936577 | − | 0.350463i | \(-0.113976\pi\) |
−0.771798 | + | 0.635868i | \(0.780642\pi\) | |||||||
\(608\) | − | 1012.50i | − | 1.66530i | ||||||
\(609\) | 183.505 | − | 317.839i | 0.301321 | − | 0.521904i | ||||
\(610\) | 111.208 | − | 64.2057i | 0.182307 | − | 0.105255i | ||||
\(611\) | − | 219.612i | − | 0.359430i | ||||||
\(612\) | −14.3287 | −0.0234129 | ||||||||
\(613\) | −41.8422 | + | 72.4728i | −0.0682581 | + | 0.118226i | −0.898135 | − | 0.439721i | \(-0.855077\pi\) |
0.829877 | + | 0.557947i | \(0.188411\pi\) | |||||||
\(614\) | −329.581 | + | 190.284i | −0.536777 | + | 0.309908i | ||||
\(615\) | 455.727 | − | 263.114i | 0.741020 | − | 0.427828i | ||||
\(616\) | 235.208 | + | 135.798i | 0.381832 | + | 0.220451i | ||||
\(617\) | 641.259 | 1.03932 | 0.519659 | − | 0.854374i | \(-0.326059\pi\) | ||||
0.519659 | + | 0.854374i | \(0.326059\pi\) | |||||||
\(618\) | 251.461 | 0.406896 | ||||||||
\(619\) | 342.851 | − | 593.836i | 0.553879 | − | 0.959347i | −0.444110 | − | 0.895972i | \(-0.646480\pi\) |
0.997990 | − | 0.0633753i | \(-0.0201865\pi\) | |||||||
\(620\) | 470.930 | − | 815.674i | 0.759564 | − | 1.31560i | ||||
\(621\) | 115.727 | + | 66.8152i | 0.186356 | + | 0.107593i | ||||
\(622\) | 232.748 | − | 403.131i | 0.374193 | − | 0.648121i | ||||
\(623\) | −1326.99 | + | 766.137i | −2.13000 | + | 1.22975i | ||||
\(624\) | 57.2494 | + | 99.1590i | 0.0917459 | + | 0.158909i | ||||
\(625\) | 888.716 | 1.42194 | ||||||||
\(626\) | −156.017 | + | 270.230i | −0.249229 | + | 0.431677i | ||||
\(627\) | −221.631 | −0.353478 | ||||||||
\(628\) | −508.542 | −0.809781 | ||||||||
\(629\) | −7.88120 | − | 13.6506i | −0.0125297 | − | 0.0217021i | ||||
\(630\) | 248.439i | 0.394347i | ||||||||
\(631\) | −488.710 | − | 282.157i | −0.774501 | − | 0.447158i | 0.0599769 | − | 0.998200i | \(-0.480897\pi\) |
−0.834478 | + | 0.551041i | \(0.814231\pi\) | |||||||
\(632\) | 7.99333 | + | 13.8449i | 0.0126477 | + | 0.0219064i | ||||
\(633\) | 40.1600 | + | 23.1864i | 0.0634439 | + | 0.0366294i | ||||
\(634\) | −388.287 | + | 224.178i | −0.612440 | + | 0.353593i | ||||
\(635\) | 1813.90 | − | 1047.26i | 2.85654 | − | 1.64923i | ||||
\(636\) | −166.426 | − | 288.258i | −0.261676 | − | 0.453236i | ||||
\(637\) | 436.181 | − | 251.829i | 0.684742 | − | 0.395336i | ||||
\(638\) | −50.4171 | − | 87.3250i | −0.0790236 | − | 0.136873i | ||||
\(639\) | 26.1644 | + | 45.3181i | 0.0409458 | + | 0.0709203i | ||||
\(640\) | 510.212 | − | 883.712i | 0.797206 | − | 1.38080i | ||||
\(641\) | −815.332 | + | 470.732i | −1.27197 | + | 0.734372i | −0.975358 | − | 0.220627i | \(-0.929190\pi\) |
−0.296611 | + | 0.954998i | \(0.595856\pi\) | |||||||
\(642\) | 4.09963 | − | 7.10077i | 0.00638572 | − | 0.0110604i | ||||
\(643\) | 3.01700 | 0.00469207 | 0.00234603 | − | 0.999997i | \(-0.499253\pi\) | ||||
0.00234603 | + | 0.999997i | \(0.499253\pi\) | |||||||
\(644\) | −593.224 | + | 342.498i | −0.921155 | + | 0.531829i | ||||
\(645\) | 1188.13i | 1.84207i | ||||||||
\(646\) | − | 51.2831i | − | 0.0793856i | ||||||
\(647\) | 575.495 | + | 332.262i | 0.889482 | + | 0.513543i | 0.873773 | − | 0.486334i | \(-0.161666\pi\) |
0.0157090 | + | 0.999877i | \(0.494999\pi\) | |||||||
\(648\) | 64.3821i | 0.0993550i | ||||||||
\(649\) | −145.666 | + | 84.1004i | −0.224447 | + | 0.129585i | ||||
\(650\) | 416.450 | + | 721.313i | 0.640693 | + | 1.10971i | ||||
\(651\) | −493.001 | − | 284.634i | −0.757298 | − | 0.437226i | ||||
\(652\) | −141.098 | + | 244.390i | −0.216409 | + | 0.374831i | ||||
\(653\) | 136.579 | + | 78.8537i | 0.209156 | + | 0.120756i | 0.600919 | − | 0.799310i | \(-0.294801\pi\) |
−0.391763 | + | 0.920066i | \(0.628135\pi\) | |||||||
\(654\) | 36.7292 | + | 21.2056i | 0.0561609 | + | 0.0324245i | ||||
\(655\) | − | 2037.50i | − | 3.11069i | ||||||
\(656\) | 149.915i | 0.228529i | ||||||||
\(657\) | 105.876 | − | 183.383i | 0.161151 | − | 0.279122i | ||||
\(658\) | 67.8758 | + | 117.564i | 0.103155 | + | 0.178669i | ||||
\(659\) | −73.9670 | − | 128.115i | −0.112241 | − | 0.194408i | 0.804432 | − | 0.594044i | \(-0.202470\pi\) |
−0.916674 | + | 0.399637i | \(0.869136\pi\) | |||||||
\(660\) | −163.200 | − | 94.2237i | −0.247273 | − | 0.142763i | ||||
\(661\) | 784.817i | 1.18732i | 0.804717 | + | 0.593659i | \(0.202317\pi\) | ||||
−0.804717 | + | 0.593659i | \(0.797683\pi\) | |||||||
\(662\) | 510.245 | 0.770763 | ||||||||
\(663\) | 21.3180 | + | 36.9238i | 0.0321538 | + | 0.0556921i | ||||
\(664\) | 202.386 | + | 116.848i | 0.304798 | + | 0.175975i | ||||
\(665\) | 2454.87 | 3.69153 | ||||||||
\(666\) | −25.9653 | + | 14.9911i | −0.0389869 | + | 0.0225091i | ||||
\(667\) | 600.747 | 0.900670 | ||||||||
\(668\) | 90.2562 | − | 156.328i | 0.135114 | − | 0.234024i | ||||
\(669\) | − | 18.9854i | − | 0.0283788i | ||||||
\(670\) | −593.351 | − | 148.618i | −0.885598 | − | 0.221817i | ||||
\(671\) | 58.8716 | 0.0877371 | ||||||||
\(672\) | −450.628 | − | 260.170i | −0.670577 | − | 0.387158i | ||||
\(673\) | 970.736i | 1.44240i | 0.692727 | + | 0.721200i | \(0.256409\pi\) | ||||
−0.692727 | + | 0.721200i | \(0.743591\pi\) | |||||||
\(674\) | −300.541 | − | 520.553i | −0.445907 | − | 0.772333i | ||||
\(675\) | − | 277.294i | − | 0.410806i | ||||||
\(676\) | 88.1376 | − | 152.659i | 0.130381 | − | 0.225827i | ||||
\(677\) | −252.486 | + | 145.773i | −0.372948 | + | 0.215321i | −0.674745 | − | 0.738051i | \(-0.735747\pi\) |
0.301798 | + | 0.953372i | \(0.402413\pi\) | |||||||
\(678\) | 143.309i | 0.211371i | ||||||||
\(679\) | 1703.20 | 2.50840 | ||||||||
\(680\) | 51.5018 | − | 89.2038i | 0.0757380 | − | 0.131182i | ||||
\(681\) | 256.691 | − | 148.201i | 0.376933 | − | 0.217622i | ||||
\(682\) | −135.450 | + | 78.2019i | −0.198607 | + | 0.114666i | ||||
\(683\) | −928.624 | − | 536.141i | −1.35962 | − | 0.784980i | −0.370051 | − | 0.929011i | \(-0.620660\pi\) |
−0.989573 | + | 0.144032i | \(0.953993\pi\) | |||||||
\(684\) | 269.312 | 0.393731 | ||||||||
\(685\) | 1295.47 | 1.89120 | ||||||||
\(686\) | 73.5271 | − | 127.353i | 0.107182 | − | 0.185645i | ||||
\(687\) | −67.2387 | + | 116.461i | −0.0978729 | + | 0.169521i | ||||
\(688\) | −293.135 | − | 169.241i | −0.426068 | − | 0.245990i | ||||
\(689\) | −495.212 | + | 857.732i | −0.718740 | + | 1.24489i | ||||
\(690\) | −352.180 | + | 203.331i | −0.510405 | + | 0.294683i | ||||
\(691\) | 179.868 | + | 311.541i | 0.260302 | + | 0.450855i | 0.966322 | − | 0.257336i | \(-0.0828447\pi\) |
−0.706020 | + | 0.708191i | \(0.749511\pi\) | |||||||
\(692\) | 956.320 | 1.38197 | ||||||||
\(693\) | −56.9497 | + | 98.6397i | −0.0821784 | + | 0.142337i | ||||
\(694\) | 179.532 | 0.258691 | ||||||||
\(695\) | −1052.99 | −1.51510 | ||||||||
\(696\) | 144.718 | + | 250.658i | 0.207928 | + | 0.360141i | ||||
\(697\) | 55.8240i | 0.0800918i | ||||||||
\(698\) | −215.529 | − | 124.436i | −0.308780 | − | 0.178274i | ||||
\(699\) | 67.3067 | + | 116.579i | 0.0962900 | + | 0.166779i | ||||
\(700\) | 1230.99 | + | 710.710i | 1.75855 | + | 1.01530i | ||||
\(701\) | 277.821 | − | 160.400i | 0.396320 | − | 0.228816i | −0.288575 | − | 0.957457i | \(-0.593181\pi\) |
0.684895 | + | 0.728642i | \(0.259848\pi\) | |||||||
\(702\) | 70.2340 | − | 40.5496i | 0.100048 | − | 0.0577630i | ||||
\(703\) | 148.129 | + | 256.568i | 0.210710 | + | 0.364961i | ||||
\(704\) | −60.4742 | + | 34.9148i | −0.0859008 | + | 0.0495948i | ||||
\(705\) | −111.250 | − | 192.691i | −0.157802 | − | 0.273321i | ||||
\(706\) | −52.6694 | − | 91.2261i | −0.0746026 | − | 0.129215i | ||||
\(707\) | −35.0994 | + | 60.7939i | −0.0496455 | + | 0.0859886i | ||||
\(708\) | 177.004 | − | 102.194i | 0.250006 | − | 0.144341i | ||||
\(709\) | −85.4216 | + | 147.955i | −0.120482 | + | 0.208681i | −0.919958 | − | 0.392017i | \(-0.871777\pi\) |
0.799476 | + | 0.600698i | \(0.205111\pi\) | |||||||
\(710\) | −159.246 | −0.224290 | ||||||||
\(711\) | −5.80614 | + | 3.35218i | −0.00816616 | + | 0.00471473i | ||||
\(712\) | − | 1208.40i | − | 1.69719i | ||||||
\(713\) | − | 931.819i | − | 1.30690i | ||||||
\(714\) | −22.8242 | − | 13.1776i | −0.0319667 | − | 0.0184560i | ||||
\(715\) | 560.738i | 0.784250i | ||||||||
\(716\) | 243.709 | − | 140.706i | 0.340376 | − | 0.196516i | ||||
\(717\) | 288.452 | + | 499.614i | 0.402304 | + | 0.696812i | ||||
\(718\) | −388.163 | − | 224.106i | −0.540618 | − | 0.312126i | ||||
\(719\) | 519.539 | − | 899.868i | 0.722585 | − | 1.25155i | −0.237375 | − | 0.971418i | \(-0.576287\pi\) |
0.959960 | − | 0.280136i | \(-0.0903796\pi\) | |||||||
\(720\) | 100.463 | + | 58.0025i | 0.139532 | + | 0.0805590i | ||||
\(721\) | −1105.86 | − | 638.471i | −1.53379 | − | 0.885535i | ||||
\(722\) | 591.580i | 0.819362i | ||||||||
\(723\) | − | 254.305i | − | 0.351736i | ||||||
\(724\) | −50.8594 | + | 88.0911i | −0.0702479 | + | 0.121673i | ||||
\(725\) | −623.299 | − | 1079.59i | −0.859723 | − | 1.48908i | ||||
\(726\) | −92.4230 | − | 160.081i | −0.127304 | − | 0.220498i | ||||
\(727\) | 150.280 | + | 86.7644i | 0.206713 | + | 0.119346i | 0.599783 | − | 0.800163i | \(-0.295254\pi\) |
−0.393070 | + | 0.919509i | \(0.628587\pi\) | |||||||
\(728\) | 982.014i | 1.34892i | ||||||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | 322.201 | + | 558.069i | 0.441372 | + | 0.764478i | ||||
\(731\) | −109.155 | − | 63.0205i | −0.149322 | − | 0.0862113i | ||||
\(732\) | −71.5370 | −0.0977282 | ||||||||
\(733\) | 1095.90 | − | 632.715i | 1.49508 | − | 0.863186i | 0.495098 | − | 0.868837i | \(-0.335132\pi\) |
0.999984 | + | 0.00565120i | \(0.00179884\pi\) | |||||||
\(734\) | 421.620 | 0.574415 | ||||||||
\(735\) | 255.141 | − | 441.918i | 0.347131 | − | 0.601249i | ||||
\(736\) | − | 851.730i | − | 1.15724i | ||||||
\(737\) | −201.516 | − | 195.021i | −0.273427 | − | 0.264615i | ||||
\(738\) | 106.184 | 0.143881 | ||||||||
\(739\) | 149.227 | + | 86.1564i | 0.201931 | + | 0.116585i | 0.597556 | − | 0.801827i | \(-0.296139\pi\) |
−0.395625 | + | 0.918412i | \(0.629472\pi\) | |||||||
\(740\) | 251.902i | 0.340408i | ||||||||
\(741\) | −400.678 | − | 693.995i | −0.540726 | − | 0.936565i | ||||
\(742\) | − | 612.223i | − | 0.825099i | ||||||
\(743\) | 247.519 | − | 428.715i | 0.333135 | − | 0.577006i | −0.649990 | − | 0.759943i | \(-0.725227\pi\) |
0.983125 | + | 0.182937i | \(0.0585603\pi\) | |||||||
\(744\) | 388.796 | − | 224.471i | 0.522575 | − | 0.301709i | ||||
\(745\) | 2108.59i | 2.83033i | ||||||||
\(746\) | 103.446 | 0.138667 | ||||||||
\(747\) | −49.0026 | + | 84.8750i | −0.0655992 | + | 0.113621i | ||||
\(748\) | 17.3128 | − | 9.99555i | 0.0231454 | − | 0.0133630i | ||||
\(749\) | −36.0583 | + | 20.8183i | −0.0481419 | + | 0.0277947i | ||||
\(750\) | 388.443 | + | 224.267i | 0.517923 | + | 0.299023i | ||||
\(751\) | 39.4467 | 0.0525255 | 0.0262628 | − | 0.999655i | \(-0.491639\pi\) | ||||
0.0262628 | + | 0.999655i | \(0.491639\pi\) | |||||||
\(752\) | 63.3874 | 0.0842917 | ||||||||
\(753\) | −267.648 | + | 463.580i | −0.355442 | + | 0.615644i | ||||
\(754\) | 182.294 | − | 315.743i | 0.241770 | − | 0.418757i | ||||
\(755\) | −709.396 | − | 409.570i | −0.939597 | − | 0.542477i | ||||
\(756\) | 69.2016 | − | 119.861i | 0.0915365 | − | 0.158546i | ||||
\(757\) | −843.319 | + | 486.891i | −1.11403 | + | 0.643185i | −0.939870 | − | 0.341533i | \(-0.889054\pi\) |
−0.174159 | + | 0.984718i | \(0.555721\pi\) | |||||||
\(758\) | −213.880 | − | 370.451i | −0.282164 | − | 0.488722i | ||||
\(759\) | −186.439 | −0.245637 | ||||||||
\(760\) | −967.992 | + | 1676.61i | −1.27367 | + | 2.20607i | ||||
\(761\) | −628.450 | −0.825821 | −0.412911 | − | 0.910772i | \(-0.635488\pi\) | ||||
−0.412911 | + | 0.910772i | \(0.635488\pi\) | |||||||
\(762\) | 422.640 | 0.554646 | ||||||||
\(763\) | −107.684 | − | 186.514i | −0.141132 | − | 0.244448i | ||||
\(764\) | 838.626i | 1.09768i | ||||||||
\(765\) | 37.4095 | + | 21.5984i | 0.0489013 | + | 0.0282332i | ||||
\(766\) | −318.804 | − | 552.185i | −0.416193 | − | 0.720868i | ||||
\(767\) | −526.689 | − | 304.084i | −0.686687 | − | 0.396459i | ||||
\(768\) | 278.420 | − | 160.746i | 0.362526 | − | 0.209305i | ||||
\(769\) | −970.422 | + | 560.274i | −1.26193 | + | 0.728574i | −0.973447 | − | 0.228912i | \(-0.926483\pi\) |
−0.288480 | + | 0.957486i | \(0.593150\pi\) | |||||||
\(770\) | −173.308 | − | 300.179i | −0.225076 | − | 0.389843i | ||||
\(771\) | −500.518 | + | 288.974i | −0.649180 | + | 0.374804i | ||||
\(772\) | 188.510 | + | 326.509i | 0.244184 | + | 0.422939i | ||||
\(773\) | 306.667 | + | 531.163i | 0.396723 | + | 0.687145i | 0.993319 | − | 0.115397i | \(-0.0368140\pi\) |
−0.596596 | + | 0.802541i | \(0.703481\pi\) | |||||||
\(774\) | −119.873 | + | 207.626i | −0.154875 | + | 0.268251i | ||||
\(775\) | −1674.55 | + | 966.799i | −2.16070 | + | 1.24748i | ||||
\(776\) | −671.600 | + | 1163.25i | −0.865464 | + | 1.49903i | ||||
\(777\) | 152.252 | 0.195948 | ||||||||
\(778\) | 45.8428 | − | 26.4673i | 0.0589239 | − | 0.0340197i | ||||
\(779\) | − | 1049.23i | − | 1.34689i | ||||||
\(780\) | − | 681.374i | − | 0.873556i | ||||||
\(781\) | −63.2269 | − | 36.5041i | −0.0809563 | − | 0.0467401i | ||||
\(782\) | − | 43.1400i | − | 0.0551662i | ||||||
\(783\) | −105.119 | + | 60.6904i | −0.134251 | + | 0.0775101i | ||||
\(784\) | 72.6863 | + | 125.896i | 0.0927121 | + | 0.160582i | ||||
\(785\) | 1327.71 | + | 766.554i | 1.69135 | + | 0.976502i | ||||
\(786\) | 205.568 | − | 356.054i | 0.261536 | − | 0.452994i | ||||
\(787\) | −906.846 | − | 523.568i | −1.15228 | − | 0.665270i | −0.202840 | − | 0.979212i | \(-0.565017\pi\) |
−0.949442 | + | 0.313942i | \(0.898350\pi\) | |||||||
\(788\) | −78.2638 | − | 45.1856i | −0.0993196 | − | 0.0573422i | ||||
\(789\) | 454.389i | 0.575905i | ||||||||
\(790\) | − | 20.4026i | − | 0.0258260i | ||||||
\(791\) | 363.868 | − | 630.238i | 0.460010 | − | 0.796761i | ||||
\(792\) | −44.9123 | − | 77.7904i | −0.0567074 | − | 0.0982202i | ||||
\(793\) | 106.432 | + | 184.345i | 0.134214 | + | 0.232465i | ||||
\(794\) | −345.526 | − | 199.490i | −0.435172 | − | 0.251247i | ||||
\(795\) | 1003.45i | 1.26220i | ||||||||
\(796\) | 283.372 | 0.355995 | ||||||||
\(797\) | −480.523 | − | 832.290i | −0.602915 | − | 1.04428i | −0.992377 | − | 0.123236i | \(-0.960673\pi\) |
0.389463 | − | 0.921042i | \(-0.372661\pi\) | |||||||
\(798\) | 428.988 | + | 247.676i | 0.537579 | + | 0.310371i | ||||
\(799\) | 23.6036 | 0.0295414 | ||||||||
\(800\) | −1530.62 | + | 883.704i | −1.91328 | + | 1.10463i | ||||
\(801\) | 506.768 | 0.632670 | ||||||||
\(802\) | 279.819 | − | 484.661i | 0.348902 | − | 0.604315i | ||||
\(803\) | 295.433i | 0.367912i | ||||||||
\(804\) | 244.869 | + | 236.977i | 0.304563 | + | 0.294748i | ||||
\(805\) | 2065.06 | 2.56530 | ||||||||
\(806\) | −489.749 | − | 282.757i | −0.607629 | − | 0.350815i | ||||
\(807\) | 552.632i | 0.684798i | ||||||||
\(808\) | −27.6805 | − | 47.9440i | −0.0342580 | − | 0.0593367i | ||||
\(809\) | − | 1326.28i | − | 1.63940i | −0.572791 | − | 0.819702i | \(-0.694139\pi\) | ||
0.572791 | − | 0.819702i | \(-0.305861\pi\) | |||||||
\(810\) | 41.0830 | − | 71.1578i | 0.0507197 | − | 0.0878492i | ||||
\(811\) | −200.890 | + | 115.984i | −0.247706 | + | 0.143013i | −0.618714 | − | 0.785617i | \(-0.712346\pi\) |
0.371007 | + | 0.928630i | \(0.379012\pi\) | |||||||
\(812\) | − | 622.204i | − | 0.766261i | ||||||
\(813\) | −526.368 | −0.647439 | ||||||||
\(814\) | 20.9152 | − | 36.2263i | 0.0256944 | − | 0.0445040i | ||||
\(815\) | 736.764 | − | 425.371i | 0.904005 | − | 0.521927i | ||||
\(816\) | −10.6575 | + | 6.15308i | −0.0130606 | + | 0.00754055i | ||||
\(817\) | 2051.59 | + | 1184.49i | 2.51113 | + | 1.44980i | ||||
\(818\) | −84.4266 | −0.103211 | ||||||||
\(819\) | −411.829 | −0.502843 | ||||||||
\(820\) | 446.067 | − | 772.610i | 0.543984 | − | 0.942208i | ||||
\(821\) | −344.443 | + | 596.593i | −0.419541 | + | 0.726667i | −0.995893 | − | 0.0905348i | \(-0.971142\pi\) |
0.576352 | + | 0.817201i | \(0.304476\pi\) | |||||||
\(822\) | 226.384 | + | 130.703i | 0.275407 | + | 0.159006i | ||||
\(823\) | −584.062 | + | 1011.62i | −0.709674 | + | 1.22919i | 0.255304 | + | 0.966861i | \(0.417824\pi\) |
−0.964978 | + | 0.262331i | \(0.915509\pi\) | |||||||
\(824\) | 872.119 | − | 503.518i | 1.05840 | − | 0.611066i | ||||
\(825\) | 193.437 | + | 335.043i | 0.234470 | + | 0.406113i | ||||
\(826\) | 375.935 | 0.455127 | ||||||||
\(827\) | 473.436 | − | 820.015i | 0.572474 | − | 0.991554i | −0.423837 | − | 0.905739i | \(-0.639317\pi\) |
0.996311 | − | 0.0858157i | \(-0.0273496\pi\) | |||||||
\(828\) | 226.548 | 0.273609 | ||||||||
\(829\) | −38.6720 | −0.0466490 | −0.0233245 | − | 0.999728i | \(-0.507425\pi\) | ||||
−0.0233245 | + | 0.999728i | \(0.507425\pi\) | |||||||
\(830\) | −149.124 | − | 258.290i | −0.179667 | − | 0.311193i | ||||
\(831\) | − | 648.293i | − | 0.780136i | ||||||
\(832\) | −218.658 | − | 126.242i | −0.262810 | − | 0.151733i | ||||
\(833\) | 27.0662 | + | 46.8800i | 0.0324924 | + | 0.0562786i | ||||
\(834\) | −184.011 | − | 106.239i | −0.220636 | − | 0.127385i | ||||
\(835\) | −471.284 | + | 272.096i | −0.564413 | + | 0.325864i | ||||
\(836\) | −325.399 | + | 187.869i | −0.389233 | + | 0.224724i | ||||
\(837\) | 94.1369 | + | 163.050i | 0.112469 | + | 0.194803i | ||||
\(838\) | 154.915 | − | 89.4403i | 0.184863 | − | 0.106731i | ||||
\(839\) | −10.8901 | − | 18.8623i | −0.0129799 | − | 0.0224818i | 0.859463 | − | 0.511199i | \(-0.170798\pi\) |
−0.872442 | + | 0.488717i | \(0.837465\pi\) | |||||||
\(840\) | 497.465 | + | 861.635i | 0.592221 | + | 1.02576i | ||||
\(841\) | 147.661 | − | 255.756i | 0.175578 | − | 0.304110i | ||||
\(842\) | −341.043 | + | 196.902i | −0.405040 | + | 0.233850i | ||||
\(843\) | 132.843 | − | 230.091i | 0.157584 | − | 0.272943i | ||||
\(844\) | 78.6174 | 0.0931486 | ||||||||
\(845\) | −460.222 | + | 265.709i | −0.544641 | + | 0.314449i | ||||
\(846\) | − | 44.8971i | − | 0.0530698i | ||||||
\(847\) | 938.663i | 1.10822i | ||||||||
\(848\) | −247.570 | − | 142.935i | −0.291946 | − | 0.168555i | ||||
\(849\) | 513.487i | 0.604814i | ||||||||
\(850\) | −77.5256 | + | 44.7594i | −0.0912066 | + | 0.0526582i | ||||
\(851\) | 124.608 | + | 215.828i | 0.146426 | + | 0.253617i | ||||
\(852\) | 76.8293 | + | 44.3574i | 0.0901752 | + | 0.0520627i | ||||
\(853\) | −680.590 | + | 1178.82i | −0.797878 | + | 1.38196i | 0.123118 | + | 0.992392i | \(0.460711\pi\) |
−0.920996 | + | 0.389573i | \(0.872623\pi\) | |||||||
\(854\) | −113.952 | − | 65.7900i | −0.133433 | − | 0.0770375i | ||||
\(855\) | −703.123 | − | 405.948i | −0.822366 | − | 0.474793i | ||||
\(856\) | − | 32.8359i | − | 0.0383597i | ||||||
\(857\) | − | 222.964i | − | 0.260169i | −0.991503 | − | 0.130084i | \(-0.958475\pi\) | ||
0.991503 | − | 0.130084i | \(-0.0415248\pi\) | |||||||
\(858\) | −56.5740 | + | 97.9891i | −0.0659371 | + | 0.114206i | ||||
\(859\) | 543.104 | + | 940.685i | 0.632252 | + | 1.09509i | 0.987090 | + | 0.160165i | \(0.0512026\pi\) |
−0.354838 | + | 0.934928i | \(0.615464\pi\) | |||||||
\(860\) | 1007.14 | + | 1744.42i | 1.17110 | + | 2.02840i | ||||
\(861\) | −466.973 | − | 269.607i | −0.542361 | − | 0.313132i | ||||
\(862\) | 344.844i | 0.400051i | ||||||||
\(863\) | 204.645 | 0.237132 | 0.118566 | − | 0.992946i | \(-0.462170\pi\) | ||||
0.118566 | + | 0.992946i | \(0.462170\pi\) | |||||||
\(864\) | 86.0460 | + | 149.036i | 0.0995902 | + | 0.172495i | ||||
\(865\) | −2496.78 | − | 1441.51i | −2.88645 | − | 1.66649i | ||||
\(866\) | 341.277 | 0.394084 | ||||||||
\(867\) | 429.531 | − | 247.990i | 0.495423 | − | 0.286032i | ||||
\(868\) | −965.100 | −1.11187 | ||||||||
\(869\) | 4.67689 | − | 8.10061i | 0.00538192 | − | 0.00932176i | ||||
\(870\) | − | 369.384i | − | 0.424580i | ||||||
\(871\) | 246.359 | − | 983.579i | 0.282846 | − | 1.12925i | ||||
\(872\) | 169.846 | 0.194778 | ||||||||
\(873\) | −487.832 | − | 281.650i | −0.558800 | − | 0.322623i | ||||
\(874\) | 810.829i | 0.927722i | ||||||||
\(875\) | −1138.85 | − | 1972.54i | −1.30154 | − | 2.25434i | ||||
\(876\) | − | 358.992i | − | 0.409808i | ||||||
\(877\) | 608.470 | − | 1053.90i | 0.693808 | − | 1.20171i | −0.276772 | − | 0.960936i | \(-0.589265\pi\) |
0.970581 | − | 0.240776i | \(-0.0774019\pi\) | |||||||
\(878\) | 179.311 | − | 103.526i | 0.204227 | − | 0.117911i | ||||
\(879\) | − | 7.06380i | − | 0.00803618i | ||||||
\(880\) | −161.848 | −0.183918 | ||||||||
\(881\) | −502.933 | + | 871.106i | −0.570866 | + | 0.988769i | 0.425611 | + | 0.904906i | \(0.360059\pi\) |
−0.996477 | + | 0.0838631i | \(0.973274\pi\) | |||||||
\(882\) | 89.1720 | − | 51.4835i | 0.101102 | − | 0.0583713i | ||||
\(883\) | 241.155 | − | 139.231i | 0.273108 | − | 0.157679i | −0.357191 | − | 0.934031i | \(-0.616265\pi\) |
0.630299 | + | 0.776352i | \(0.282932\pi\) | |||||||
\(884\) | 62.5983 | + | 36.1411i | 0.0708126 | + | 0.0408836i | ||||
\(885\) | −616.168 | −0.696234 | ||||||||
\(886\) | −674.897 | −0.761735 | ||||||||
\(887\) | −603.963 | + | 1046.09i | −0.680905 | + | 1.17936i | 0.293800 | + | 0.955867i | \(0.405080\pi\) |
−0.974705 | + | 0.223496i | \(0.928253\pi\) | |||||||
\(888\) | −60.0353 | + | 103.984i | −0.0676073 | + | 0.117099i | ||||
\(889\) | −1858.66 | − | 1073.10i | −2.09074 | − | 1.20709i | ||||
\(890\) | −771.095 | + | 1335.57i | −0.866398 | + | 1.50065i | ||||
\(891\) | 32.6231 | − | 18.8349i | 0.0366140 | − | 0.0211391i | ||||
\(892\) | −16.0933 | − | 27.8744i | −0.0180418 | − | 0.0312494i | ||||
\(893\) | −443.636 | −0.496793 | ||||||||
\(894\) | −212.740 | + | 368.477i | −0.237964 | + | 0.412166i | ||||
\(895\) | −848.373 | −0.947903 | ||||||||
\(896\) | −1045.60 | −1.16697 | ||||||||
\(897\) | −337.055 | − | 583.797i | −0.375758 | − | 0.650833i | ||||
\(898\) | 100.103i | 0.111473i | ||||||||
\(899\) | 733.005 | + | 423.201i | 0.815356 | + | 0.470746i | ||||
\(900\) | −235.053 | − | 407.124i | −0.261170 | − | 0.452360i | ||||
\(901\) | −92.1878 | − | 53.2246i | −0.102317 | − | 0.0590728i | ||||
\(902\) | −128.299 | + | 74.0733i | −0.142238 | + | 0.0821211i | ||||
\(903\) | 1054.34 | − | 608.726i | 1.16760 | − | 0.674115i | ||||
\(904\) | 286.958 | + | 497.026i | 0.317431 | + | 0.549807i | ||||
\(905\) | 265.569 | − | 153.326i | 0.293447 | − | 0.169421i | ||||
\(906\) | −82.6447 | − | 143.145i | −0.0912193 | − | 0.157996i | ||||
\(907\) | 814.057 | + | 1409.99i | 0.897527 | + | 1.55456i | 0.830646 | + | 0.556801i | \(0.187971\pi\) |
0.0668806 | + | 0.997761i | \(0.478695\pi\) | |||||||
\(908\) | 251.250 | − | 435.178i | 0.276707 | − | 0.479271i | ||||
\(909\) | 20.1064 | − | 11.6084i | 0.0221192 | − | 0.0127705i | ||||
\(910\) | 626.635 | − | 1085.36i | 0.688610 | − | 1.19271i | ||||
\(911\) | 1227.72 | 1.34766 | 0.673830 | − | 0.738887i | \(-0.264648\pi\) | ||||
0.673830 | + | 0.738887i | \(0.264648\pi\) | |||||||
\(912\) | 200.310 | − | 115.649i | 0.219638 | − | 0.126808i | ||||
\(913\) | − | 136.735i | − | 0.149764i | ||||||
\(914\) | 15.6312i | 0.0171020i | ||||||||
\(915\) | 186.770 | + | 107.832i | 0.204120 | + | 0.117849i | ||||
\(916\) | 227.984i | 0.248891i | ||||||||
\(917\) | −1808.07 | + | 1043.89i | −1.97172 | + | 1.13837i | ||||
\(918\) | 4.35821 | + | 7.54864i | 0.00474751 | + | 0.00822292i | ||||
\(919\) | 784.538 | + | 452.953i | 0.853687 | + | 0.492876i | 0.861893 | − | 0.507090i | \(-0.169279\pi\) |
−0.00820645 | + | 0.999966i | \(0.502612\pi\) | |||||||
\(920\) | −814.287 | + | 1410.39i | −0.885095 | + | 1.53303i | ||||
\(921\) | −553.522 | − | 319.576i | −0.601001 | − | 0.346988i | ||||
\(922\) | 177.819 | + | 102.664i | 0.192862 | + | 0.111349i | ||||
\(923\) | − | 263.977i | − | 0.285999i | ||||||
\(924\) | 193.098i | 0.208980i | ||||||||
\(925\) | 258.572 | − | 447.860i | 0.279537 | − | 0.484173i | ||||
\(926\) | 438.012 | + | 758.658i | 0.473015 | + | 0.819286i | ||||
\(927\) | 211.161 | + | 365.742i | 0.227790 | + | 0.394544i | ||||
\(928\) | 670.004 | + | 386.827i | 0.721987 | + | 0.416840i | ||||
\(929\) | 330.672i | 0.355944i | 0.984036 | + | 0.177972i | \(0.0569537\pi\) | ||||
−0.984036 | + | 0.177972i | \(0.943046\pi\) | |||||||
\(930\) | −572.952 | −0.616077 | ||||||||
\(931\) | −508.717 | − | 881.124i | −0.546420 | − | 0.946428i | ||||
\(932\) | 197.640 | + | 114.107i | 0.212060 | + | 0.122433i | ||||
\(933\) | 781.787 | 0.837929 | ||||||||
\(934\) | −634.906 | + | 366.563i | −0.679771 | + | 0.392466i | ||||
\(935\) | −60.2673 | −0.0644570 | ||||||||
\(936\) | 162.391 | − | 281.269i | 0.173494 | − | 0.300501i | ||||
\(937\) | − | 720.759i | − | 0.769219i | −0.923079 | − | 0.384610i | \(-0.874336\pi\) | ||
0.923079 | − | 0.384610i | \(-0.125664\pi\) | |||||||
\(938\) | 172.114 | + | 602.679i | 0.183490 | + | 0.642515i | ||||
\(939\) | −524.054 | −0.558098 | ||||||||
\(940\) | −326.676 | − | 188.607i | −0.347528 | − | 0.200645i | ||||
\(941\) | 1076.92i | 1.14445i | 0.820098 | + | 0.572223i | \(0.193919\pi\) | ||||
−0.820098 | + | 0.572223i | \(0.806081\pi\) | |||||||
\(942\) | 154.678 | + | 267.911i | 0.164202 | + | 0.284406i | ||||
\(943\) | − | 882.624i | − | 0.935974i | ||||||
\(944\) | 87.7688 | − | 152.020i | 0.0929754 | − | 0.161038i | ||||
\(945\) | −361.345 | + | 208.623i | −0.382376 | + | 0.220765i | ||||
\(946\) | − | 334.489i | − | 0.353583i | ||||||
\(947\) | −575.790 | −0.608015 | −0.304007 | − | 0.952670i | \(-0.598325\pi\) | ||||
−0.304007 | + | 0.952670i | \(0.598325\pi\) | |||||||
\(948\) | −5.68306 | + | 9.84335i | −0.00599479 | + | 0.0103833i | ||||
\(949\) | −925.093 | + | 534.103i | −0.974809 | + | 0.562806i | ||||
\(950\) | 1457.12 | − | 841.267i | 1.53381 | − | 0.885544i | ||||
\(951\) | −652.118 | − | 376.500i | −0.685718 | − | 0.395899i | ||||
\(952\) | −105.545 | −0.110867 | ||||||||
\(953\) | 954.587 | 1.00166 | 0.500832 | − | 0.865544i | \(-0.333027\pi\) | ||||
0.500832 | + | 0.865544i | \(0.333027\pi\) | |||||||
\(954\) | −101.240 | + | 175.353i | −0.106122 | + | 0.183808i | ||||
\(955\) | 1264.11 | − | 2189.50i | 1.32367 | − | 2.29267i | ||||
\(956\) | 847.013 | + | 489.023i | 0.885997 | + | 0.511531i | ||||
\(957\) | 84.6741 | − | 146.660i | 0.0884787 | − | 0.153250i | ||||
\(958\) | 368.964 | − | 213.022i | 0.385140 | − | 0.222361i | ||||
\(959\) | −663.721 | − | 1149.60i | −0.692097 | − | 1.19875i | ||||
\(960\) | −255.805 | −0.266464 | ||||||||
\(961\) | 175.926 | − | 304.714i | 0.183066 | − | 0.317080i | ||||
\(962\) | 151.248 | 0.157222 | ||||||||
\(963\) | 13.7704 | 0.0142995 | ||||||||
\(964\) | −215.566 | − | 373.371i | −0.223616 | − | 0.387315i | ||||
\(965\) | − | 1136.61i | − | 1.17783i | ||||||
\(966\) | 360.870 | + | 208.348i | 0.373571 | + | 0.215682i | ||||
\(967\) | 72.9115 | + | 126.286i | 0.0753997 | + | 0.130596i | 0.901260 | − | 0.433279i | \(-0.142643\pi\) |
−0.825860 | + | 0.563875i | \(0.809310\pi\) | |||||||
\(968\) | −641.084 | − | 370.130i | −0.662276 | − | 0.382365i | ||||
\(969\) | 74.5895 | − | 43.0643i | 0.0769758 | − | 0.0444420i | ||||
\(970\) | 1484.56 | − | 857.113i | 1.53048 | − | 0.883621i | ||||
\(971\) | −144.025 | − | 249.458i | −0.148326 | − | 0.256908i | 0.782283 | − | 0.622923i | \(-0.214055\pi\) |
−0.930609 | + | 0.366015i | \(0.880722\pi\) | |||||||
\(972\) | −39.6415 | + | 22.8870i | −0.0407834 | + | 0.0235463i | ||||
\(973\) | 539.489 | + | 934.422i | 0.554459 | + | 0.960352i | ||||
\(974\) | 113.229 | + | 196.119i | 0.116252 | + | 0.201354i | ||||
\(975\) | −699.417 | + | 1211.43i | −0.717350 | + | 1.24249i | ||||
\(976\) | −53.2082 | + | 30.7197i | −0.0545166 | + | 0.0314751i | ||||
\(977\) | 59.4668 | − | 103.000i | 0.0608668 | − | 0.105424i | −0.833986 | − | 0.551785i | \(-0.813947\pi\) |
0.894853 | + | 0.446361i | \(0.147280\pi\) | |||||||
\(978\) | 171.666 | 0.175528 | ||||||||
\(979\) | −612.309 | + | 353.517i | −0.625443 | + | 0.361100i | ||||
\(980\) | − | 865.100i | − | 0.882756i | ||||||
\(981\) | 71.2286i | 0.0726081i | ||||||||
\(982\) | −360.677 | − | 208.237i | −0.367288 | − | 0.212054i | ||||
\(983\) | 1619.12i | 1.64712i | 0.567232 | + | 0.823558i | \(0.308014\pi\) | ||||
−0.567232 | + | 0.823558i | \(0.691986\pi\) | |||||||
\(984\) | 368.269 | − | 212.620i | 0.374258 | − | 0.216078i | ||||
\(985\) | 136.222 | + | 235.943i | 0.138296 | + | 0.239536i | ||||
\(986\) | 33.9356 | + | 19.5927i | 0.0344174 | + | 0.0198709i | ||||
\(987\) | −113.996 | + | 197.446i | −0.115497 | + | 0.200047i | ||||
\(988\) | −1176.55 | − | 679.284i | −1.19084 | − | 0.687534i | ||||
\(989\) | 1725.83 | + | 996.406i | 1.74502 | + | 1.00749i | ||||
\(990\) | 114.636i | 0.115794i | ||||||||
\(991\) | − | 931.161i | − | 0.939618i | −0.882768 | − | 0.469809i | \(-0.844323\pi\) | ||
0.882768 | − | 0.469809i | \(-0.155677\pi\) | |||||||
\(992\) | 600.008 | − | 1039.24i | 0.604846 | − | 1.04762i | ||||
\(993\) | 428.471 | + | 742.134i | 0.431491 | + | 0.747365i | ||||
\(994\) | 81.5879 | + | 141.314i | 0.0820803 | + | 0.142167i | ||||
\(995\) | −739.832 | − | 427.142i | −0.743550 | − | 0.429289i | ||||
\(996\) | 166.152i | 0.166819i | ||||||||
\(997\) | −641.815 | −0.643747 | −0.321873 | − | 0.946783i | \(-0.604313\pi\) | ||||
−0.321873 | + | 0.946783i | \(0.604313\pi\) | |||||||
\(998\) | 286.071 | + | 495.489i | 0.286644 | + | 0.496482i | ||||
\(999\) | −43.6080 | − | 25.1771i | −0.0436516 | − | 0.0252023i |
(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 | 201.3.h.b.172.5 | yes | 24 | |
67.30 | odd | 6 | inner | 201.3.h.b.97.5 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.h.b.97.5 | ✓ | 24 | 67.30 | odd | 6 | inner | |
201.3.h.b.172.5 | yes | 24 | 1.1 | even | 1 | trivial |