Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.99725 | − | 0.148413i | −0.999311 | − | 0.0371032i | ||||
\(3\) | 8.88596 | − | 1.56683i | 0.987329 | − | 0.174093i | 0.343409 | − | 0.939186i | \(-0.388418\pi\) |
0.643920 | + | 0.765093i | \(0.277307\pi\) | |||||||
\(4\) | 15.9559 | + | 1.18649i | 0.997247 | + | 0.0741553i | ||||
\(5\) | −25.4406 | + | 21.3472i | −1.01762 | + | 0.853887i | −0.989327 | − | 0.145713i | \(-0.953452\pi\) |
−0.0282956 | + | 0.999600i | \(0.509008\pi\) | |||||||
\(6\) | −35.7519 | + | 4.94423i | −0.993109 | + | 0.137340i | ||||
\(7\) | −18.4296 | − | 10.6403i | −0.376114 | − | 0.217150i | 0.300012 | − | 0.953935i | \(-0.403009\pi\) |
−0.676126 | + | 0.736786i | \(0.736343\pi\) | |||||||
\(8\) | −63.6038 | − | 7.11074i | −0.993809 | − | 0.111105i | ||||
\(9\) | 0.390232 | − | 0.142033i | 0.00481768 | − | 0.00175349i | ||||
\(10\) | 104.860 | − | 81.5542i | 1.04860 | − | 0.815542i | ||||
\(11\) | −14.9857 | + | 8.65201i | −0.123849 | + | 0.0715042i | −0.560645 | − | 0.828057i | \(-0.689447\pi\) |
0.436796 | + | 0.899561i | \(0.356113\pi\) | |||||||
\(12\) | 143.643 | − | 14.4573i | 0.997521 | − | 0.100398i | ||||
\(13\) | 4.76034 | − | 26.9972i | 0.0281677 | − | 0.159747i | −0.967479 | − | 0.252950i | \(-0.918599\pi\) |
0.995647 | + | 0.0932026i | \(0.0297104\pi\) | |||||||
\(14\) | 72.0885 | + | 45.2672i | 0.367798 | + | 0.230955i | ||||
\(15\) | −192.616 | + | 229.551i | −0.856073 | + | 1.02023i | ||||
\(16\) | 253.185 | + | 37.8630i | 0.989002 | + | 0.147902i | ||||
\(17\) | −392.828 | − | 142.978i | −1.35927 | − | 0.494732i | −0.443439 | − | 0.896305i | \(-0.646242\pi\) |
−0.915827 | + | 0.401573i | \(0.868464\pi\) | |||||||
\(18\) | −1.58093 | + | 0.509825i | −0.00487942 | + | 0.00157353i | ||||
\(19\) | −299.424 | + | 201.658i | −0.829430 | + | 0.558611i | ||||
\(20\) | −431.256 | + | 310.429i | −1.07814 | + | 0.776074i | ||||
\(21\) | −180.436 | − | 65.6735i | −0.409153 | − | 0.148919i | ||||
\(22\) | 61.1857 | − | 32.3601i | 0.126417 | − | 0.0668598i | ||||
\(23\) | −390.606 | + | 465.506i | −0.738386 | + | 0.879974i | −0.996278 | − | 0.0861998i | \(-0.972528\pi\) |
0.257892 | + | 0.966174i | \(0.416972\pi\) | |||||||
\(24\) | −576.322 | + | 36.4708i | −1.00056 | + | 0.0633174i | ||||
\(25\) | 82.9906 | − | 470.663i | 0.132785 | − | 0.753061i | ||||
\(26\) | −23.0350 | + | 107.208i | −0.0340754 | + | 0.158592i | ||||
\(27\) | −629.704 | + | 363.560i | −0.863791 | + | 0.498710i | ||||
\(28\) | −281.437 | − | 191.643i | −0.358976 | − | 0.244443i | ||||
\(29\) | 20.3182 | − | 7.39523i | 0.0241596 | − | 0.00879338i | −0.329912 | − | 0.944012i | \(-0.607019\pi\) |
0.354072 | + | 0.935218i | \(0.384797\pi\) | |||||||
\(30\) | 804.003 | − | 888.986i | 0.893337 | − | 0.987762i | ||||
\(31\) | 457.709 | + | 264.259i | 0.476284 | + | 0.274983i | 0.718867 | − | 0.695148i | \(-0.244661\pi\) |
−0.242582 | + | 0.970131i | \(0.577994\pi\) | |||||||
\(32\) | −1006.42 | − | 188.924i | −0.982833 | − | 0.184496i | ||||
\(33\) | −119.606 | + | 100.362i | −0.109831 | + | 0.0921594i | ||||
\(34\) | 1549.01 | + | 629.817i | 1.33997 | + | 0.544825i | ||||
\(35\) | 696.001 | − | 122.724i | 0.568164 | − | 0.100183i | ||||
\(36\) | 6.39504 | − | 1.80326i | 0.00493445 | − | 0.00139141i | ||||
\(37\) | 2091.69 | 1.52789 | 0.763947 | − | 0.645279i | \(-0.223259\pi\) | ||||
0.763947 | + | 0.645279i | \(0.223259\pi\) | |||||||
\(38\) | 1226.80 | − | 761.640i | 0.849585 | − | 0.527452i | ||||
\(39\) | − | 247.355i | − | 0.162627i | ||||||
\(40\) | 1769.91 | − | 1176.86i | 1.10619 | − | 0.735537i | ||||
\(41\) | 152.801 | + | 866.578i | 0.0908989 | + | 0.515514i | 0.995927 | + | 0.0901619i | \(0.0287385\pi\) |
−0.905028 | + | 0.425352i | \(0.860150\pi\) | |||||||
\(42\) | 711.502 | + | 289.292i | 0.403346 | + | 0.163998i | ||||
\(43\) | −1531.51 | − | 1825.19i | −0.828293 | − | 0.987121i | −0.999998 | − | 0.00197305i | \(-0.999372\pi\) |
0.171705 | − | 0.985148i | \(-0.445072\pi\) | |||||||
\(44\) | −249.377 | + | 120.271i | −0.128810 | + | 0.0621233i | ||||
\(45\) | −6.89572 | + | 11.9437i | −0.00340530 | + | 0.00589815i | ||||
\(46\) | 1630.44 | − | 1802.77i | 0.770527 | − | 0.851972i | ||||
\(47\) | 990.180 | + | 2720.50i | 0.448248 | + | 1.23155i | 0.933943 | + | 0.357423i | \(0.116344\pi\) |
−0.485695 | + | 0.874129i | \(0.661433\pi\) | |||||||
\(48\) | 2309.11 | − | 60.2492i | 1.00222 | − | 0.0261498i | ||||
\(49\) | −974.066 | − | 1687.13i | −0.405692 | − | 0.702679i | ||||
\(50\) | −401.586 | + | 1869.04i | −0.160634 | + | 0.747615i | ||||
\(51\) | −3714.67 | − | 654.997i | −1.42817 | − | 0.251825i | ||||
\(52\) | 107.988 | − | 425.118i | 0.0399362 | − | 0.157218i | ||||
\(53\) | −1422.89 | − | 1193.94i | −0.506545 | − | 0.425042i | 0.353366 | − | 0.935485i | \(-0.385037\pi\) |
−0.859911 | + | 0.510443i | \(0.829481\pi\) | |||||||
\(54\) | 2571.04 | − | 1359.78i | 0.881700 | − | 0.466317i | ||||
\(55\) | 196.549 | − | 540.014i | 0.0649749 | − | 0.178517i | ||||
\(56\) | 1096.53 | + | 807.813i | 0.349659 | + | 0.257594i | ||||
\(57\) | −2344.71 | + | 2261.08i | −0.721670 | + | 0.695930i | ||||
\(58\) | −82.3145 | + | 26.5451i | −0.0244692 | + | 0.00789092i | ||||
\(59\) | 1213.72 | − | 3334.67i | 0.348670 | − | 0.957964i | −0.634119 | − | 0.773235i | \(-0.718637\pi\) |
0.982790 | − | 0.184729i | \(-0.0591406\pi\) | |||||||
\(60\) | −3345.74 | + | 3434.17i | −0.929371 | + | 0.953936i | ||||
\(61\) | 2082.21 | + | 1747.18i | 0.559584 | + | 0.469547i | 0.878171 | − | 0.478347i | \(-0.158764\pi\) |
−0.318587 | + | 0.947894i | \(0.603208\pi\) | |||||||
\(62\) | −1790.36 | − | 1124.24i | −0.465754 | − | 0.292465i | ||||
\(63\) | −8.70310 | − | 1.53459i | −0.00219277 | − | 0.000386644i | ||||
\(64\) | 3994.87 | + | 904.540i | 0.975311 | + | 0.220835i | ||||
\(65\) | 455.209 | + | 788.445i | 0.107742 | + | 0.186614i | ||||
\(66\) | 492.990 | − | 383.419i | 0.113175 | − | 0.0880208i | ||||
\(67\) | 802.822 | + | 2205.73i | 0.178842 | + | 0.491364i | 0.996428 | − | 0.0844415i | \(-0.0269106\pi\) |
−0.817586 | + | 0.575806i | \(0.804688\pi\) | |||||||
\(68\) | −6098.30 | − | 2747.43i | −1.31884 | − | 0.594167i | ||||
\(69\) | −2741.54 | + | 4748.49i | −0.575833 | + | 0.997371i | ||||
\(70\) | −2800.30 | + | 387.261i | −0.571490 | + | 0.0790329i | ||||
\(71\) | 3779.58 | + | 4504.33i | 0.749768 | + | 0.893538i | 0.997155 | − | 0.0753783i | \(-0.0240164\pi\) |
−0.247387 | + | 0.968917i | \(0.579572\pi\) | |||||||
\(72\) | −25.8302 | + | 6.25898i | −0.00498267 | + | 0.00120737i | ||||
\(73\) | −1368.17 | − | 7759.27i | −0.256740 | − | 1.45605i | −0.791566 | − | 0.611084i | \(-0.790734\pi\) |
0.534826 | − | 0.844962i | \(-0.320377\pi\) | |||||||
\(74\) | −8360.99 | − | 310.433i | −1.52684 | − | 0.0566898i | ||||
\(75\) | − | 4312.32i | − | 0.766636i | ||||||
\(76\) | −5016.86 | + | 2862.39i | −0.868570 | + | 0.495566i | ||||
\(77\) | 368.241 | 0.0621085 | ||||||||
\(78\) | −36.7107 | + | 988.739i | −0.00603397 | + | 0.162515i | ||||
\(79\) | 555.628 | − | 97.9723i | 0.0890287 | − | 0.0156982i | −0.128956 | − | 0.991650i | \(-0.541163\pi\) |
0.217985 | + | 0.975952i | \(0.430052\pi\) | |||||||
\(80\) | −7249.42 | + | 4441.52i | −1.13272 | + | 0.693987i | ||||
\(81\) | −5051.65 | + | 4238.84i | −0.769952 | + | 0.646066i | ||||
\(82\) | −482.172 | − | 3486.60i | −0.0717091 | − | 0.518531i | ||||
\(83\) | 7258.15 | + | 4190.49i | 1.05358 | + | 0.608287i | 0.923651 | − | 0.383235i | \(-0.125190\pi\) |
0.129934 | + | 0.991523i | \(0.458523\pi\) | |||||||
\(84\) | −2801.11 | − | 1261.97i | −0.396983 | − | 0.178850i | ||||
\(85\) | 13045.9 | − | 4748.33i | 1.80566 | − | 0.657208i | ||||
\(86\) | 5850.96 | + | 7523.02i | 0.791098 | + | 1.01717i | ||||
\(87\) | 168.960 | − | 97.5490i | 0.0223226 | − | 0.0128880i | ||||
\(88\) | 1014.67 | − | 443.741i | 0.131027 | − | 0.0573012i | ||||
\(89\) | 1340.66 | − | 7603.29i | 0.169254 | − | 0.959890i | −0.775314 | − | 0.631576i | \(-0.782408\pi\) |
0.944569 | − | 0.328314i | \(-0.106480\pi\) | |||||||
\(90\) | 29.3365 | − | 46.7187i | 0.00362179 | − | 0.00576774i | ||||
\(91\) | −374.991 | + | 446.897i | −0.0452833 | + | 0.0539665i | ||||
\(92\) | −6784.81 | + | 6964.14i | −0.801608 | + | 0.822796i | ||||
\(93\) | 4481.24 | + | 1631.04i | 0.518122 | + | 0.188581i | ||||
\(94\) | −3554.24 | − | 11021.4i | −0.402245 | − | 1.24733i | ||||
\(95\) | 3312.68 | − | 11522.2i | 0.367056 | − | 1.27669i | ||||
\(96\) | −9239.03 | − | 101.871i | −1.00250 | − | 0.0110537i | ||||
\(97\) | 3759.86 | + | 1368.48i | 0.399602 | + | 0.145443i | 0.534001 | − | 0.845484i | \(-0.320688\pi\) |
−0.134399 | + | 0.990927i | \(0.542910\pi\) | |||||||
\(98\) | 3643.19 | + | 6888.45i | 0.379341 | + | 0.717248i | ||||
\(99\) | −4.61904 | + | 5.50475i | −0.000471282 | + | 0.000561652i | ||||
\(100\) | 1882.63 | − | 7411.41i | 0.188263 | − | 0.741141i | ||||
\(101\) | −1187.42 | + | 6734.19i | −0.116402 | + | 0.660150i | 0.869644 | + | 0.493679i | \(0.164348\pi\) |
−0.986046 | + | 0.166471i | \(0.946763\pi\) | |||||||
\(102\) | 14751.3 | + | 3169.49i | 1.41784 | + | 0.304642i | ||||
\(103\) | −7002.15 | + | 4042.70i | −0.660020 | + | 0.381063i | −0.792285 | − | 0.610152i | \(-0.791108\pi\) |
0.132265 | + | 0.991214i | \(0.457775\pi\) | |||||||
\(104\) | −494.746 | + | 1683.28i | −0.0457420 | + | 0.155628i | ||||
\(105\) | 5992.35 | − | 2181.04i | 0.543523 | − | 0.197826i | ||||
\(106\) | 5510.43 | + | 4983.66i | 0.490426 | + | 0.443544i | ||||
\(107\) | −11437.8 | − | 6603.61i | −0.999020 | − | 0.576785i | −0.0910620 | − | 0.995845i | \(-0.529026\pi\) |
−0.907958 | + | 0.419061i | \(0.862359\pi\) | |||||||
\(108\) | −10478.9 | + | 5053.80i | −0.898395 | + | 0.433282i | ||||
\(109\) | −11094.2 | + | 9309.11i | −0.933774 | + | 0.783529i | −0.976491 | − | 0.215558i | \(-0.930843\pi\) |
0.0427172 | + | 0.999087i | \(0.486399\pi\) | |||||||
\(110\) | −865.801 | + | 2129.40i | −0.0715538 | + | 0.175983i | ||||
\(111\) | 18586.7 | − | 3277.33i | 1.50853 | − | 0.265995i | ||||
\(112\) | −4263.22 | − | 3391.77i | −0.339861 | − | 0.270390i | ||||
\(113\) | −6177.78 | −0.483811 | −0.241905 | − | 0.970300i | \(-0.577772\pi\) | ||||
−0.241905 | + | 0.970300i | \(0.577772\pi\) | |||||||
\(114\) | 9707.94 | − | 8690.10i | 0.746994 | − | 0.668675i | ||||
\(115\) | − | 20181.1i | − | 1.52598i | ||||||
\(116\) | 332.971 | − | 93.8906i | 0.0247452 | − | 0.00697760i | ||||
\(117\) | −1.97686 | − | 11.2113i | −0.000144412 | − | 0.000819002i | ||||
\(118\) | −5346.45 | + | 13149.4i | −0.383974 | + | 0.944368i | ||||
\(119\) | 5718.33 | + | 6814.84i | 0.403808 | + | 0.481240i | ||||
\(120\) | 13883.4 | − | 13230.7i | 0.964125 | − | 0.918797i | ||||
\(121\) | −7170.79 | + | 12420.2i | −0.489774 | + | 0.848314i | ||||
\(122\) | −8063.82 | − | 7292.95i | −0.541777 | − | 0.489986i | ||||
\(123\) | 2715.57 | + | 7460.97i | 0.179494 | + | 0.493157i | ||||
\(124\) | 6989.65 | + | 4759.56i | 0.454582 | + | 0.309545i | ||||
\(125\) | −2442.22 | − | 4230.06i | −0.156302 | − | 0.270724i | ||||
\(126\) | 34.5607 | + | 7.42579i | 0.00217691 | + | 0.000467737i | ||||
\(127\) | −3158.11 | − | 556.860i | −0.195803 | − | 0.0345254i | 0.0748864 | − | 0.997192i | \(-0.476141\pi\) |
−0.270690 | + | 0.962667i | \(0.587252\pi\) | |||||||
\(128\) | −15834.3 | − | 4208.56i | −0.966446 | − | 0.256870i | ||||
\(129\) | −16468.7 | − | 13818.9i | −0.989649 | − | 0.830414i | ||||
\(130\) | −1702.57 | − | 3219.17i | −0.100744 | − | 0.190483i | ||||
\(131\) | −10680.2 | + | 29343.7i | −0.622354 | + | 1.70990i | 0.0787968 | + | 0.996891i | \(0.474892\pi\) |
−0.701151 | + | 0.713013i | \(0.747330\pi\) | |||||||
\(132\) | −2027.51 | + | 1459.45i | −0.116363 | + | 0.0837610i | ||||
\(133\) | 7663.98 | − | 530.512i | 0.433263 | − | 0.0299911i | ||||
\(134\) | −2881.72 | − | 8936.01i | −0.160488 | − | 0.497662i | ||||
\(135\) | 8259.05 | − | 22691.6i | 0.453171 | − | 1.24508i | ||||
\(136\) | 23968.6 | + | 11887.2i | 1.29588 | + | 0.642691i | ||||
\(137\) | 11427.6 | + | 9588.86i | 0.608853 | + | 0.510888i | 0.894277 | − | 0.447513i | \(-0.147690\pi\) |
−0.285425 | + | 0.958401i | \(0.592135\pi\) | |||||||
\(138\) | 11663.3 | − | 18574.0i | 0.612442 | − | 0.975319i | ||||
\(139\) | 22331.1 | + | 3937.58i | 1.15580 | + | 0.203798i | 0.718505 | − | 0.695522i | \(-0.244827\pi\) |
0.437291 | + | 0.899320i | \(0.355938\pi\) | |||||||
\(140\) | 11251.0 | − | 1132.38i | 0.574028 | − | 0.0577744i | ||||
\(141\) | 13061.3 | + | 22622.8i | 0.656972 | + | 1.13791i | ||||
\(142\) | −14439.4 | − | 18565.8i | −0.716098 | − | 0.920742i | ||||
\(143\) | 162.243 | + | 445.759i | 0.00793404 | + | 0.0217986i | ||||
\(144\) | 104.179 | − | 21.1852i | 0.00502404 | − | 0.00102166i | ||||
\(145\) | −359.040 | + | 621.875i | −0.0170768 | + | 0.0295779i | ||||
\(146\) | 4317.33 | + | 31218.8i | 0.202539 | + | 1.46457i | ||||
\(147\) | −11299.0 | − | 13465.6i | −0.522883 | − | 0.623147i | ||||
\(148\) | 33374.9 | + | 2481.76i | 1.52369 | + | 0.113302i | ||||
\(149\) | −6346.36 | − | 35992.0i | −0.285859 | − | 1.62119i | −0.702200 | − | 0.711980i | \(-0.747799\pi\) |
0.416341 | − | 0.909209i | \(-0.363312\pi\) | |||||||
\(150\) | −640.004 | + | 17237.4i | −0.0284446 | + | 0.766108i | ||||
\(151\) | 4295.75i | 0.188402i | 0.995553 | + | 0.0942009i | \(0.0300296\pi\) | ||||
−0.995553 | + | 0.0942009i | \(0.969970\pi\) | |||||||
\(152\) | 20478.4 | − | 10697.1i | 0.886359 | − | 0.462998i | ||||
\(153\) | −173.602 | −0.00741602 | ||||||||
\(154\) | −1471.95 | − | 54.6517i | −0.0620657 | − | 0.00230442i | ||||
\(155\) | −17285.6 | + | 3047.91i | −0.719482 | + | 0.126864i | ||||
\(156\) | 293.483 | − | 3946.78i | 0.0120596 | − | 0.162179i | ||||
\(157\) | 11822.2 | − | 9919.98i | 0.479621 | − | 0.402449i | −0.370669 | − | 0.928765i | \(-0.620871\pi\) |
0.850289 | + | 0.526316i | \(0.176427\pi\) | |||||||
\(158\) | −2235.52 | + | 309.157i | −0.0895499 | + | 0.0123841i | ||||
\(159\) | −14514.4 | − | 8379.90i | −0.574123 | − | 0.331470i | ||||
\(160\) | 29636.9 | − | 16677.9i | 1.15769 | − | 0.651481i | ||||
\(161\) | 12151.9 | − | 4422.91i | 0.468804 | − | 0.170631i | ||||
\(162\) | 20821.8 | − | 16194.0i | 0.793393 | − | 0.617054i | ||||
\(163\) | −30351.1 | + | 17523.2i | −1.14235 | + | 0.659537i | −0.947012 | − | 0.321199i | \(-0.895914\pi\) |
−0.195339 | + | 0.980736i | \(0.562581\pi\) | |||||||
\(164\) | 1409.90 | + | 14008.4i | 0.0524206 | + | 0.520835i | ||||
\(165\) | 900.415 | − | 5106.51i | 0.0330731 | − | 0.187567i | ||||
\(166\) | −28390.7 | − | 17827.6i | −1.03029 | − | 0.646960i | ||||
\(167\) | −33584.1 | + | 40024.0i | −1.20421 | + | 1.43512i | −0.333900 | + | 0.942608i | \(0.608365\pi\) |
−0.870307 | + | 0.492510i | \(0.836080\pi\) | |||||||
\(168\) | 11009.4 | + | 5460.12i | 0.390074 | + | 0.193456i | ||||
\(169\) | 26132.4 | + | 9511.41i | 0.914967 | + | 0.333021i | ||||
\(170\) | −52852.5 | + | 17044.1i | −1.82881 | + | 0.589760i | ||||
\(171\) | −88.2028 | + | 121.222i | −0.00301641 | + | 0.00414561i | ||||
\(172\) | −22271.2 | − | 30939.7i | −0.752812 | − | 1.04583i | ||||
\(173\) | −23464.9 | − | 8540.54i | −0.784020 | − | 0.285360i | −0.0811721 | − | 0.996700i | \(-0.525866\pi\) |
−0.702848 | + | 0.711340i | \(0.748089\pi\) | |||||||
\(174\) | −689.852 | + | 364.852i | −0.0227854 | + | 0.0120509i | ||||
\(175\) | −6537.50 | + | 7791.08i | −0.213469 | + | 0.254403i | ||||
\(176\) | −4121.74 | + | 1623.15i | −0.133062 | + | 0.0524002i | ||||
\(177\) | 5560.20 | − | 31533.5i | 0.177478 | − | 1.00653i | ||||
\(178\) | −6487.39 | + | 30193.2i | −0.204753 | + | 0.952949i | ||||
\(179\) | −26478.3 | + | 15287.3i | −0.826389 | + | 0.477116i | −0.852615 | − | 0.522540i | \(-0.824984\pi\) |
0.0262260 | + | 0.999656i | \(0.491651\pi\) | |||||||
\(180\) | −124.199 | + | 182.392i | −0.00383330 | + | 0.00562939i | ||||
\(181\) | −30072.1 | + | 10945.3i | −0.917924 | + | 0.334097i | −0.757412 | − | 0.652937i | \(-0.773537\pi\) |
−0.160511 | + | 0.987034i | \(0.551314\pi\) | |||||||
\(182\) | 1565.26 | − | 1730.70i | 0.0472544 | − | 0.0522492i | ||||
\(183\) | 21240.0 | + | 12262.9i | 0.634239 | + | 0.366178i | ||||
\(184\) | 28154.1 | − | 26830.4i | 0.831584 | − | 0.792487i | ||||
\(185\) | −53213.7 | + | 44651.6i | −1.55482 | + | 1.30465i | ||||
\(186\) | −17670.5 | − | 7184.73i | −0.510768 | − | 0.207675i | ||||
\(187\) | 7123.85 | − | 1256.13i | 0.203719 | − | 0.0359212i | ||||
\(188\) | 12571.4 | + | 44582.9i | 0.355688 | + | 1.26140i | ||||
\(189\) | 15473.6 | 0.433179 | ||||||||
\(190\) | −14951.6 | + | 45565.3i | −0.414173 | + | 1.26220i | ||||
\(191\) | − | 39533.0i | − | 1.08366i | −0.840488 | − | 0.541830i | \(-0.817732\pi\) | ||
0.840488 | − | 0.541830i | \(-0.182268\pi\) | |||||||
\(192\) | 36915.6 | + | 1778.40i | 1.00140 | + | 0.0482421i | ||||
\(193\) | −8986.77 | − | 50966.5i | −0.241262 | − | 1.36826i | −0.829016 | − | 0.559225i | \(-0.811099\pi\) |
0.587754 | − | 0.809040i | \(-0.300012\pi\) | |||||||
\(194\) | −14826.0 | − | 6028.14i | −0.393930 | − | 0.160170i | ||||
\(195\) | 5280.33 | + | 6292.85i | 0.138865 | + | 0.165492i | ||||
\(196\) | −13540.4 | − | 28075.5i | −0.352468 | − | 0.730829i | ||||
\(197\) | 1448.88 | − | 2509.53i | 0.0373336 | − | 0.0646636i | −0.846755 | − | 0.531983i | \(-0.821447\pi\) |
0.884088 | + | 0.467320i | \(0.154780\pi\) | |||||||
\(198\) | 19.2804 | − | 21.3183i | 0.000491797 | − | 0.000543780i | ||||
\(199\) | 21756.2 | + | 59774.5i | 0.549384 | + | 1.50942i | 0.834545 | + | 0.550940i | \(0.185731\pi\) |
−0.285161 | + | 0.958480i | \(0.592047\pi\) | |||||||
\(200\) | −8625.27 | + | 29345.8i | −0.215632 | + | 0.733645i | ||||
\(201\) | 10589.9 | + | 18342.2i | 0.262119 | + | 0.454003i | ||||
\(202\) | 5745.85 | − | 26742.0i | 0.140816 | − | 0.655377i | ||||
\(203\) | −453.145 | − | 79.9016i | −0.0109963 | − | 0.00193894i | ||||
\(204\) | −58494.0 | − | 14858.5i | −1.40557 | − | 0.357038i | ||||
\(205\) | −22386.3 | − | 18784.4i | −0.532691 | − | 0.446981i | ||||
\(206\) | 28589.3 | − | 15120.4i | 0.673704 | − | 0.356312i | ||||
\(207\) | −86.3098 | + | 237.134i | −0.00201428 | + | 0.00553419i | ||||
\(208\) | 2227.44 | − | 6655.04i | 0.0514849 | − | 0.153824i | ||||
\(209\) | 2742.34 | − | 5612.62i | 0.0627810 | − | 0.128491i | ||||
\(210\) | −24276.6 | + | 7828.79i | −0.550489 | + | 0.177524i | ||||
\(211\) | −16000.9 | + | 43962.0i | −0.359400 | + | 0.987444i | 0.619838 | + | 0.784730i | \(0.287198\pi\) |
−0.979238 | + | 0.202714i | \(0.935024\pi\) | |||||||
\(212\) | −21286.9 | − | 20738.7i | −0.473631 | − | 0.461435i | ||||
\(213\) | 40642.7 | + | 34103.3i | 0.895826 | + | 0.751687i | ||||
\(214\) | 44739.6 | + | 28093.8i | 0.976932 | + | 0.613454i | ||||
\(215\) | 77925.2 | + | 13740.3i | 1.68578 | + | 0.297248i | ||||
\(216\) | 42636.7 | − | 18646.1i | 0.913852 | − | 0.399651i | ||||
\(217\) | −5623.60 | − | 9740.36i | −0.119425 | − | 0.206850i | ||||
\(218\) | 45727.7 | − | 35564.3i | 0.962202 | − | 0.748344i | ||||
\(219\) | −24315.0 | − | 66804.9i | −0.506974 | − | 1.39290i | ||||
\(220\) | 3776.85 | − | 8383.24i | 0.0780340 | − | 0.173207i | ||||
\(221\) | −5729.99 | + | 9924.64i | −0.117319 | + | 0.203203i | ||||
\(222\) | −74781.8 | + | 10341.8i | −1.51737 | + | 0.209841i | ||||
\(223\) | 4071.73 | + | 4852.50i | 0.0818784 | + | 0.0975789i | 0.805428 | − | 0.592693i | \(-0.201935\pi\) |
−0.723550 | + | 0.690272i | \(0.757491\pi\) | |||||||
\(224\) | 16537.7 | + | 14190.4i | 0.329595 | + | 0.282813i | ||||
\(225\) | −34.4640 | − | 195.455i | −0.000680771 | − | 0.00386084i | ||||
\(226\) | 24694.1 | + | 916.862i | 0.483477 | + | 0.0179509i | ||||
\(227\) | − | 84648.8i | − | 1.64274i | −0.570396 | − | 0.821370i | \(-0.693210\pi\) | ||
0.570396 | − | 0.821370i | \(-0.306790\pi\) | |||||||
\(228\) | −40094.7 | + | 33295.7i | −0.771290 | + | 0.640499i | ||||
\(229\) | −79720.5 | −1.52019 | −0.760097 | − | 0.649810i | \(-0.774848\pi\) | ||||
−0.760097 | + | 0.649810i | \(0.774848\pi\) | |||||||
\(230\) | −2995.13 | + | 80668.7i | −0.0566187 | + | 1.52493i | ||||
\(231\) | 3272.18 | − | 576.973i | 0.0613215 | − | 0.0108126i | ||||
\(232\) | −1344.90 | + | 325.887i | −0.0249870 | + | 0.00605467i | ||||
\(233\) | −11549.8 | + | 9691.40i | −0.212746 | + | 0.178515i | −0.742933 | − | 0.669366i | \(-0.766566\pi\) |
0.530187 | + | 0.847881i | \(0.322122\pi\) | |||||||
\(234\) | 6.23808 | + | 45.1078i | 0.000113925 | + | 0.000823796i | ||||
\(235\) | −83265.6 | − | 48073.4i | −1.50775 | − | 0.870501i | ||||
\(236\) | 23322.6 | − | 51767.8i | 0.418749 | − | 0.929471i | ||||
\(237\) | 4783.78 | − | 1741.16i | 0.0851677 | − | 0.0309985i | ||||
\(238\) | −21846.2 | − | 28089.3i | −0.385675 | − | 0.495891i | ||||
\(239\) | 40846.3 | − | 23582.6i | 0.715084 | − | 0.412854i | −0.0978568 | − | 0.995201i | \(-0.531199\pi\) |
0.812941 | + | 0.582347i | \(0.197865\pi\) | |||||||
\(240\) | −57459.0 | + | 50825.8i | −0.997552 | + | 0.882392i | ||||
\(241\) | −12849.0 | + | 72870.4i | −0.221226 | + | 1.25463i | 0.648544 | + | 0.761177i | \(0.275378\pi\) |
−0.869770 | + | 0.493458i | \(0.835733\pi\) | |||||||
\(242\) | 30506.7 | − | 48582.2i | 0.520912 | − | 0.829558i | ||||
\(243\) | −389.187 | + | 463.815i | −0.00659091 | + | 0.00785474i | ||||
\(244\) | 31150.7 | + | 30348.5i | 0.523224 | + | 0.509750i | ||||
\(245\) | 60796.3 | + | 22128.0i | 1.01285 | + | 0.368647i | ||||
\(246\) | −9747.50 | − | 30226.3i | −0.161073 | − | 0.499477i | ||||
\(247\) | 4018.86 | + | 9043.59i | 0.0658732 | + | 0.148234i | ||||
\(248\) | −27233.0 | − | 20062.5i | −0.442783 | − | 0.326198i | ||||
\(249\) | 71061.4 | + | 25864.2i | 1.14613 | + | 0.417158i | ||||
\(250\) | 9134.38 | + | 17271.0i | 0.146150 | + | 0.276337i | ||||
\(251\) | 15281.2 | − | 18211.4i | 0.242554 | − | 0.289065i | −0.631009 | − | 0.775776i | \(-0.717359\pi\) |
0.873563 | + | 0.486710i | \(0.161803\pi\) | |||||||
\(252\) | −137.045 | − | 34.8120i | −0.00215806 | − | 0.000548185i | ||||
\(253\) | 1825.95 | − | 10355.5i | 0.0285264 | − | 0.161781i | ||||
\(254\) | 12541.1 | + | 2694.61i | 0.194387 | + | 0.0417665i | ||||
\(255\) | 108486. | − | 62634.3i | 1.66837 | − | 0.963234i | ||||
\(256\) | 62668.8 | + | 19172.6i | 0.956250 | + | 0.292551i | ||||
\(257\) | 82551.4 | − | 30046.3i | 1.24985 | − | 0.454909i | 0.369500 | − | 0.929231i | \(-0.379529\pi\) |
0.880351 | + | 0.474322i | \(0.157307\pi\) | |||||||
\(258\) | 63778.7 | + | 57681.8i | 0.958156 | + | 0.866561i | ||||
\(259\) | −38549.0 | − | 22256.3i | −0.574663 | − | 0.331782i | ||||
\(260\) | 6327.81 | + | 13120.5i | 0.0936066 | + | 0.194090i | ||||
\(261\) | 6.87846 | − | 5.77171i | 0.000100974 | − | 8.47274e-5i | ||||
\(262\) | 47046.4 | − | 115709.i | 0.685368 | − | 1.68563i | ||||
\(263\) | 80381.7 | − | 14173.5i | 1.16211 | − | 0.204911i | 0.440851 | − | 0.897580i | \(-0.354677\pi\) |
0.721255 | + | 0.692669i | \(0.243566\pi\) | |||||||
\(264\) | 8321.05 | − | 5532.88i | 0.119391 | − | 0.0793859i | ||||
\(265\) | 61686.3 | 0.878409 | ||||||||
\(266\) | −30713.6 | + | 983.152i | −0.434077 | + | 0.0138950i | ||||
\(267\) | − | 69663.1i | − | 0.977193i | ||||||
\(268\) | 10192.7 | + | 36147.1i | 0.141912 | + | 0.503274i | ||||
\(269\) | 5422.46 | + | 30752.3i | 0.0749362 | + | 0.424984i | 0.999078 | + | 0.0429345i | \(0.0136707\pi\) |
−0.924142 | + | 0.382050i | \(0.875218\pi\) | |||||||
\(270\) | −36381.2 | + | 89478.0i | −0.499056 | + | 1.22741i | ||||
\(271\) | 72941.3 | + | 86928.1i | 0.993197 | + | 1.18365i | 0.982983 | + | 0.183698i | \(0.0588067\pi\) |
0.0102137 | + | 0.999948i | \(0.496749\pi\) | |||||||
\(272\) | −94044.4 | − | 51073.4i | −1.27114 | − | 0.690330i | ||||
\(273\) | −2631.94 | + | 4558.66i | −0.0353143 | + | 0.0611662i | ||||
\(274\) | −44255.6 | − | 40025.0i | −0.589478 | − | 0.533127i | ||||
\(275\) | 2828.51 | + | 7771.26i | 0.0374017 | + | 0.102760i | ||||
\(276\) | −49377.9 | + | 72513.8i | −0.648208 | + | 0.951924i | ||||
\(277\) | −59088.1 | − | 102344.i | −0.770089 | − | 1.33383i | −0.937514 | − | 0.347948i | \(-0.886879\pi\) |
0.167425 | − | 0.985885i | \(-0.446455\pi\) | |||||||
\(278\) | −88678.6 | − | 19053.7i | −1.14744 | − | 0.246541i | ||||
\(279\) | 216.146 | + | 38.1124i | 0.00277677 | + | 0.000489619i | ||||
\(280\) | −45140.9 | + | 2856.61i | −0.575777 | + | 0.0364363i | ||||
\(281\) | 82106.1 | + | 68895.2i | 1.03983 | + | 0.872521i | 0.991988 | − | 0.126333i | \(-0.0403209\pi\) |
0.0478427 | + | 0.998855i | \(0.484765\pi\) | |||||||
\(282\) | −48851.6 | − | 92367.3i | −0.614300 | − | 1.16150i | ||||
\(283\) | 16456.4 | − | 45213.7i | 0.205477 | − | 0.564543i | −0.793557 | − | 0.608496i | \(-0.791773\pi\) |
0.999034 | + | 0.0439532i | \(0.0139953\pi\) | |||||||
\(284\) | 54962.4 | + | 76355.2i | 0.681443 | + | 0.946677i | ||||
\(285\) | 11383.0 | − | 107576.i | 0.140142 | − | 1.32442i | ||||
\(286\) | −582.369 | − | 1805.89i | −0.00711978 | − | 0.0220780i | ||||
\(287\) | 6404.62 | − | 17596.5i | 0.0777552 | − | 0.213631i | ||||
\(288\) | −419.571 | + | 69.2209i | −0.00505849 | + | 0.000834550i | ||||
\(289\) | 69890.3 | + | 58644.9i | 0.836799 | + | 0.702158i | ||||
\(290\) | 1527.47 | − | 2432.50i | 0.0181625 | − | 0.0289239i | ||||
\(291\) | 35554.1 | + | 6269.15i | 0.419859 | + | 0.0740325i | ||||
\(292\) | −12624.2 | − | 125430.i | −0.148060 | − | 1.47108i | ||||
\(293\) | −57891.1 | − | 100270.i | −0.674336 | − | 1.16798i | −0.976662 | − | 0.214780i | \(-0.931096\pi\) |
0.302326 | − | 0.953205i | \(-0.402237\pi\) | |||||||
\(294\) | 43166.3 | + | 55502.2i | 0.499402 | + | 0.642119i | ||||
\(295\) | 40308.1 | + | 110745.i | 0.463178 | + | 1.27257i | ||||
\(296\) | −133039. | − | 14873.5i | −1.51844 | − | 0.169757i | ||||
\(297\) | 6291.04 | − | 10896.4i | 0.0713197 | − | 0.123529i | ||||
\(298\) | 20026.3 | + | 144811.i | 0.225511 | + | 1.63068i | ||||
\(299\) | 10708.0 | + | 12761.3i | 0.119775 | + | 0.142742i | ||||
\(300\) | 5116.51 | − | 68807.2i | 0.0568501 | − | 0.764525i | ||||
\(301\) | 8804.59 | + | 49933.3i | 0.0971798 | + | 0.551134i | ||||
\(302\) | 637.544 | − | 17171.2i | 0.00699031 | − | 0.188272i | ||||
\(303\) | 61700.3i | 0.672050i | ||||||||
\(304\) | −83445.0 | + | 39719.7i | −0.902928 | + | 0.429793i | ||||
\(305\) | −90270.1 | −0.970386 | ||||||||
\(306\) | 693.928 | + | 25.7647i | 0.00741091 | + | 0.000275158i | ||||
\(307\) | −160344. | + | 28272.9i | −1.70128 | + | 0.299981i | −0.938140 | − | 0.346256i | \(-0.887453\pi\) |
−0.763137 | + | 0.646237i | \(0.776342\pi\) | |||||||
\(308\) | 5875.64 | + | 436.913i | 0.0619375 | + | 0.00460567i | ||||
\(309\) | −55886.6 | + | 46894.4i | −0.585317 | + | 0.491139i | ||||
\(310\) | 69547.0 | − | 9617.84i | 0.723694 | − | 0.100082i | ||||
\(311\) | −79467.2 | − | 45880.4i | −0.821613 | − | 0.474359i | 0.0293593 | − | 0.999569i | \(-0.490653\pi\) |
−0.850972 | + | 0.525210i | \(0.823987\pi\) | |||||||
\(312\) | −1758.88 | + | 15732.7i | −0.0180687 | + | 0.161620i | ||||
\(313\) | −135190. | + | 49205.1i | −1.37993 | + | 0.502252i | −0.922156 | − | 0.386819i | \(-0.873574\pi\) |
−0.457770 | + | 0.889071i | \(0.651352\pi\) | |||||||
\(314\) | −48728.4 | + | 37898.0i | −0.494223 | + | 0.384377i | ||||
\(315\) | 254.171 | − | 146.746i | 0.00256156 | − | 0.00147892i | ||||
\(316\) | 8981.82 | − | 903.995i | 0.0899477 | − | 0.00905299i | ||||
\(317\) | −20059.9 | + | 113765.i | −0.199623 | + | 1.13212i | 0.706057 | + | 0.708155i | \(0.250472\pi\) |
−0.905680 | + | 0.423962i | \(0.860639\pi\) | |||||||
\(318\) | 56774.0 | + | 35650.6i | 0.561429 | + | 0.352544i | ||||
\(319\) | −240.500 | + | 286.616i | −0.00236338 | + | 0.00281656i | ||||
\(320\) | −120941. | + | 62267.3i | −1.18107 | + | 0.608079i | ||||
\(321\) | −111982. | − | 40758.3i | −1.08678 | − | 0.395554i | ||||
\(322\) | −49230.4 | + | 15876.0i | −0.474812 | + | 0.153119i | ||||
\(323\) | 146455. | − | 36406.1i | 1.40378 | − | 0.348955i | ||||
\(324\) | −85633.2 | + | 61641.0i | −0.815741 | + | 0.587191i | ||||
\(325\) | −12311.5 | − | 4481.03i | −0.116559 | − | 0.0424240i | ||||
\(326\) | 123922. | − | 65540.2i | 1.16604 | − | 0.616698i | ||||
\(327\) | −83996.5 | + | 100103.i | −0.785535 | + | 0.936165i | ||||
\(328\) | −3556.71 | − | 56204.2i | −0.0330599 | − | 0.522421i | ||||
\(329\) | 10698.4 | − | 60673.5i | 0.0988385 | − | 0.560541i | ||||
\(330\) | −4357.05 | + | 20278.3i | −0.0400097 | + | 0.186211i | ||||
\(331\) | −120498. | + | 69569.6i | −1.09983 | + | 0.634985i | −0.936175 | − | 0.351534i | \(-0.885660\pi\) |
−0.163651 | + | 0.986518i | \(0.552327\pi\) | |||||||
\(332\) | 110839. | + | 75475.0i | 1.00558 | + | 0.684742i | ||||
\(333\) | 816.244 | − | 297.088i | 0.00736091 | − | 0.00267915i | ||||
\(334\) | 140184. | − | 155001.i | 1.25663 | − | 1.38945i | ||||
\(335\) | −67510.4 | − | 38977.2i | −0.601563 | − | 0.347313i | ||||
\(336\) | −43197.1 | − | 23459.4i | −0.382627 | − | 0.207796i | ||||
\(337\) | 19857.8 | − | 16662.7i | 0.174852 | − | 0.146719i | −0.551162 | − | 0.834399i | \(-0.685815\pi\) |
0.726014 | + | 0.687680i | \(0.241371\pi\) | |||||||
\(338\) | −103046. | − | 41897.8i | −0.901981 | − | 0.366740i | ||||
\(339\) | −54895.5 | + | 9679.56i | −0.477680 | + | 0.0842279i | ||||
\(340\) | 213794. | − | 60285.3i | 1.84943 | − | 0.521499i | ||||
\(341\) | −9145.47 | −0.0786497 | ||||||||
\(342\) | 370.559 | − | 471.462i | 0.00316815 | − | 0.00403083i | ||||
\(343\) | 92552.5i | 0.786683i | ||||||||
\(344\) | 84431.6 | + | 126979.i | 0.713491 | + | 1.07304i | ||||
\(345\) | −31620.4 | − | 179328.i | −0.265662 | − | 1.50664i | ||||
\(346\) | 92527.6 | + | 37621.1i | 0.772892 | + | 0.314253i | ||||
\(347\) | −82197.4 | − | 97959.1i | −0.682652 | − | 0.813553i | 0.307794 | − | 0.951453i | \(-0.400409\pi\) |
−0.990446 | + | 0.137900i | \(0.955965\pi\) | |||||||
\(348\) | 2811.66 | − | 1356.02i | 0.0232169 | − | 0.0111971i | ||||
\(349\) | −68278.9 | + | 118263.i | −0.560577 | + | 0.970949i | 0.436869 | + | 0.899525i | \(0.356087\pi\) |
−0.997446 | + | 0.0714233i | \(0.977246\pi\) | |||||||
\(350\) | 27288.3 | − | 30172.6i | 0.222761 | − | 0.246307i | ||||
\(351\) | 6817.50 | + | 18730.9i | 0.0553364 | + | 0.152036i | ||||
\(352\) | 16716.5 | − | 5876.41i | 0.134915 | − | 0.0474271i | ||||
\(353\) | −42410.5 | − | 73457.1i | −0.340348 | − | 0.589500i | 0.644149 | − | 0.764900i | \(-0.277212\pi\) |
−0.984497 | + | 0.175400i | \(0.943878\pi\) | |||||||
\(354\) | −26905.5 | + | 125222.i | −0.214701 | + | 0.999249i | ||||
\(355\) | −192309. | − | 33909.3i | −1.52596 | − | 0.269068i | ||||
\(356\) | 30412.8 | − | 119727.i | 0.239969 | − | 0.944696i | ||||
\(357\) | 61490.6 | + | 51596.7i | 0.482472 | + | 0.404842i | ||||
\(358\) | 108109. | − | 57177.2i | 0.843522 | − | 0.446125i | ||||
\(359\) | 18207.8 | − | 50025.6i | 0.141276 | − | 0.388153i | −0.848795 | − | 0.528723i | \(-0.822671\pi\) |
0.990071 | + | 0.140570i | \(0.0448934\pi\) | |||||||
\(360\) | 523.523 | − | 710.633i | 0.00403953 | − | 0.00548328i | ||||
\(361\) | 48988.7 | − | 120763.i | 0.375908 | − | 0.926657i | ||||
\(362\) | 121830. | − | 39288.2i | 0.929688 | − | 0.299809i | ||||
\(363\) | −44259.0 | + | 121601.i | −0.335883 | + | 0.922831i | ||||
\(364\) | −6513.57 | + | 6685.74i | −0.0491605 | + | 0.0504599i | ||||
\(365\) | 200445. | + | 168194.i | 1.50456 | + | 1.26248i | ||||
\(366\) | −83081.6 | − | 52170.2i | −0.620216 | − | 0.389458i | ||||
\(367\) | 38165.9 | + | 6729.68i | 0.283363 | + | 0.0499646i | 0.313523 | − | 0.949580i | \(-0.398491\pi\) |
−0.0301601 | + | 0.999545i | \(0.509602\pi\) | |||||||
\(368\) | −116521. | + | 103069.i | −0.860415 | + | 0.761087i | ||||
\(369\) | 182.710 | + | 316.464i | 0.00134187 | + | 0.00232419i | ||||
\(370\) | 219335. | − | 170586.i | 1.60216 | − | 1.24606i | ||||
\(371\) | 13519.3 | + | 37143.9i | 0.0982212 | + | 0.269860i | ||||
\(372\) | 69567.2 | + | 31341.7i | 0.502711 | + | 0.226483i | ||||
\(373\) | 109489. | − | 189640.i | 0.786958 | − | 1.36305i | −0.140864 | − | 0.990029i | \(-0.544988\pi\) |
0.927822 | − | 0.373022i | \(-0.121679\pi\) | |||||||
\(374\) | −28662.2 | + | 3963.78i | −0.204912 | + | 0.0283378i | ||||
\(375\) | −28329.3 | − | 33761.6i | −0.201453 | − | 0.240082i | ||||
\(376\) | −43634.4 | − | 180075.i | −0.308641 | − | 1.27373i | ||||
\(377\) | −102.929 | − | 583.740i | −0.000724195 | − | 0.00410711i | ||||
\(378\) | −61851.7 | − | 2296.48i | −0.432881 | − | 0.0160723i | ||||
\(379\) | 168171.i | 1.17077i | 0.810754 | + | 0.585387i | \(0.199058\pi\) | ||||
−0.810754 | + | 0.585387i | \(0.800942\pi\) | |||||||
\(380\) | 66527.9 | − | 179917.i | 0.460719 | − | 1.24596i | ||||
\(381\) | −28935.3 | −0.199333 | ||||||||
\(382\) | −5867.21 | + | 158023.i | −0.0402073 | + | 1.08291i | ||||
\(383\) | 179019. | − | 31565.9i | 1.22040 | − | 0.215190i | 0.473903 | − | 0.880577i | \(-0.342845\pi\) |
0.746498 | + | 0.665388i | \(0.231734\pi\) | |||||||
\(384\) | −147297. | − | 12587.4i | −0.998919 | − | 0.0853639i | ||||
\(385\) | −9368.26 | + | 7860.90i | −0.0632030 | + | 0.0530336i | ||||
\(386\) | 28358.2 | + | 205059.i | 0.190329 | + | 1.37627i | ||||
\(387\) | −856.883 | − | 494.721i | −0.00572136 | − | 0.00330323i | ||||
\(388\) | 58368.4 | + | 26296.3i | 0.387716 | + | 0.174675i | ||||
\(389\) | 38572.8 | − | 14039.4i | 0.254907 | − | 0.0927787i | −0.211406 | − | 0.977398i | \(-0.567804\pi\) |
0.466313 | + | 0.884620i | \(0.345582\pi\) | |||||||
\(390\) | −20172.8 | − | 25937.7i | −0.132629 | − | 0.170531i | ||||
\(391\) | 219998. | − | 127016.i | 1.43901 | − | 0.830815i | ||||
\(392\) | 49957.5 | + | 114234.i | 0.325109 | + | 0.743403i | ||||
\(393\) | −48927.3 | + | 277481.i | −0.316786 | + | 1.79658i | ||||
\(394\) | −6163.97 | + | 9816.18i | −0.0397071 | + | 0.0632339i | ||||
\(395\) | −12044.1 | + | 14353.6i | −0.0771932 | + | 0.0919952i | ||||
\(396\) | −80.2324 | + | 82.3532i | −0.000511634 | + | 0.000525158i | ||||
\(397\) | −48756.5 | − | 17745.9i | −0.309351 | − | 0.112595i | 0.182680 | − | 0.983173i | \(-0.441523\pi\) |
−0.492030 | + | 0.870578i | \(0.663745\pi\) | |||||||
\(398\) | −78093.4 | − | 242162.i | −0.493001 | − | 1.52876i | ||||
\(399\) | 67270.6 | − | 16722.3i | 0.422552 | − | 0.105039i | ||||
\(400\) | 38832.6 | − | 116022.i | 0.242704 | − | 0.725139i | ||||
\(401\) | −46326.0 | − | 16861.3i | −0.288095 | − | 0.104858i | 0.193930 | − | 0.981015i | \(-0.437876\pi\) |
−0.482025 | + | 0.876157i | \(0.660099\pi\) | |||||||
\(402\) | −39608.1 | − | 74889.9i | −0.245093 | − | 0.463416i | ||||
\(403\) | 9313.10 | − | 11098.9i | 0.0573435 | − | 0.0683393i | ||||
\(404\) | −26936.4 | + | 106042.i | −0.165035 | + | 0.649701i | ||||
\(405\) | 38029.7 | − | 215677.i | 0.231853 | − | 1.31490i | ||||
\(406\) | 1799.47 | + | 386.639i | 0.0109167 | + | 0.00234560i | ||||
\(407\) | −31345.4 | + | 18097.3i | −0.189228 | + | 0.109251i | ||||
\(408\) | 231610. | + | 68074.4i | 1.39135 | + | 0.408944i | ||||
\(409\) | 29371.1 | − | 10690.2i | 0.175579 | − | 0.0639056i | −0.252735 | − | 0.967536i | \(-0.581330\pi\) |
0.428314 | + | 0.903630i | \(0.359108\pi\) | |||||||
\(410\) | 86695.8 | + | 78408.1i | 0.515740 | + | 0.466438i | ||||
\(411\) | 116569. | + | 67301.1i | 0.690080 | + | 0.398418i | ||||
\(412\) | −116523. | + | 56197.1i | −0.686461 | + | 0.331070i | ||||
\(413\) | −57850.4 | + | 48542.3i | −0.339162 | + | 0.284590i | ||||
\(414\) | 380.195 | − | 935.075i | 0.00221823 | − | 0.00545564i | ||||
\(415\) | −274106. | + | 48332.4i | −1.59156 | + | 0.280635i | ||||
\(416\) | −9891.32 | + | 26271.3i | −0.0571568 | + | 0.151808i | ||||
\(417\) | 204603. | 1.17663 | ||||||||
\(418\) | −11794.8 | + | 22028.0i | −0.0675052 | + | 0.126073i | ||||
\(419\) | − | 19115.8i | − | 0.108884i | −0.998517 | − | 0.0544421i | \(-0.982662\pi\) | ||
0.998517 | − | 0.0544421i | \(-0.0173380\pi\) | |||||||
\(420\) | 98201.3 | − | 27690.7i | 0.556697 | − | 0.156977i | ||||
\(421\) | 17326.5 | + | 98263.5i | 0.0977568 | + | 0.554406i | 0.993868 | + | 0.110576i | \(0.0352696\pi\) |
−0.896111 | + | 0.443830i | \(0.853619\pi\) | |||||||
\(422\) | 70483.9 | − | 173352.i | 0.395790 | − | 0.973429i | ||||
\(423\) | 772.800 | + | 920.987i | 0.00431903 | + | 0.00514722i | ||||
\(424\) | 82011.0 | + | 86057.0i | 0.456185 | + | 0.478690i | ||||
\(425\) | −99895.3 | + | 173024.i | −0.553053 | + | 0.957917i | ||||
\(426\) | −157398. | − | 142351.i | −0.867319 | − | 0.784408i | ||||
\(427\) | −19783.7 | − | 54355.4i | −0.108506 | − | 0.298117i | ||||
\(428\) | −174666. | − | 118938.i | −0.953498 | − | 0.649279i | ||||
\(429\) | 2140.12 | + | 3706.79i | 0.0116285 | + | 0.0201411i | ||||
\(430\) | −309447. | − | 66488.5i | −1.67359 | − | 0.359592i | ||||
\(431\) | −200895. | − | 35423.3i | −1.08147 | − | 0.190693i | −0.395606 | − | 0.918420i | \(-0.629465\pi\) |
−0.685866 | + | 0.727728i | \(0.740577\pi\) | |||||||
\(432\) | −173197. | + | 68205.2i | −0.928052 | + | 0.365469i | ||||
\(433\) | −204129. | − | 171285.i | −1.08875 | − | 0.913572i | −0.0921344 | − | 0.995747i | \(-0.529369\pi\) |
−0.996618 | + | 0.0821749i | \(0.973813\pi\) | |||||||
\(434\) | 21033.3 | + | 39769.2i | 0.111668 | + | 0.211139i | ||||
\(435\) | −2216.04 | + | 6088.52i | −0.0117111 | + | 0.0321761i | ||||
\(436\) | −188063. | + | 135373.i | −0.989306 | + | 0.712128i | ||||
\(437\) | 23083.6 | − | 218153.i | 0.120876 | − | 1.14235i | ||||
\(438\) | 87278.3 | + | 270644.i | 0.454944 | + | 1.41075i | ||||
\(439\) | −37518.2 | + | 103080.i | −0.194676 | + | 0.534868i | −0.998172 | − | 0.0604425i | \(-0.980749\pi\) |
0.803496 | + | 0.595311i | \(0.202971\pi\) | |||||||
\(440\) | −16341.2 | + | 32949.3i | −0.0844069 | + | 0.170193i | ||||
\(441\) | −619.740 | − | 520.024i | −0.00318664 | − | 0.00267391i | ||||
\(442\) | 24377.1 | − | 38820.8i | 0.124778 | − | 0.198710i | ||||
\(443\) | −29637.0 | − | 5225.80i | −0.151017 | − | 0.0266284i | 0.0976284 | − | 0.995223i | \(-0.468874\pi\) |
−0.248646 | + | 0.968595i | \(0.579985\pi\) | |||||||
\(444\) | 300456. | − | 30240.1i | 1.52411 | − | 0.153397i | ||||
\(445\) | 128201. | + | 222051.i | 0.647400 | + | 1.12133i | ||||
\(446\) | −15555.5 | − | 20000.9i | −0.0782016 | − | 0.100550i | ||||
\(447\) | −112787. | − | 309880.i | −0.564474 | − | 1.55088i | ||||
\(448\) | −63999.4 | − | 59177.1i | −0.318874 | − | 0.294848i | ||||
\(449\) | 6013.06 | − | 10414.9i | 0.0298266 | − | 0.0516611i | −0.850727 | − | 0.525608i | \(-0.823838\pi\) |
0.880553 | + | 0.473947i | \(0.157171\pi\) | |||||||
\(450\) | 108.753 | + | 786.397i | 0.000537052 | + | 0.00388344i | ||||
\(451\) | −9787.48 | − | 11664.3i | −0.0481191 | − | 0.0573461i | ||||
\(452\) | −98572.3 | − | 7329.84i | −0.482479 | − | 0.0358771i | ||||
\(453\) | 6730.73 | + | 38171.9i | 0.0327994 | + | 0.186015i | ||||
\(454\) | −12563.0 | + | 338362.i | −0.0609509 | + | 1.64161i | ||||
\(455\) | − | 19374.3i | − | 0.0935843i | ||||||
\(456\) | 165210. | − | 127140.i | 0.794524 | − | 0.611440i | ||||
\(457\) | 107165. | 0.513120 | 0.256560 | − | 0.966528i | \(-0.417411\pi\) | ||||
0.256560 | + | 0.966528i | \(0.417411\pi\) | |||||||
\(458\) | 318662. | + | 11831.5i | 1.51915 | + | 0.0564041i | ||||
\(459\) | 299346. | − | 52782.8i | 1.42085 | − | 0.250534i | ||||
\(460\) | 23944.5 | − | 322008.i | 0.113159 | − | 1.52178i | ||||
\(461\) | 158725. | − | 133186.i | 0.746866 | − | 0.626695i | −0.187806 | − | 0.982206i | \(-0.560138\pi\) |
0.934672 | + | 0.355511i | \(0.115693\pi\) | |||||||
\(462\) | −13165.3 | + | 1820.67i | −0.0616804 | + | 0.00852996i | ||||
\(463\) | 128149. | + | 73986.8i | 0.597796 | + | 0.345138i | 0.768174 | − | 0.640241i | \(-0.221166\pi\) |
−0.170378 | + | 0.985379i | \(0.554499\pi\) | |||||||
\(464\) | 5424.27 | − | 1103.05i | 0.0251945 | − | 0.00512341i | ||||
\(465\) | −148823. | + | 54167.2i | −0.688279 | + | 0.250513i | ||||
\(466\) | 47605.6 | − | 37024.8i | 0.219223 | − | 0.170499i | ||||
\(467\) | −9485.12 | + | 5476.23i | −0.0434920 | + | 0.0251101i | −0.521588 | − | 0.853197i | \(-0.674660\pi\) |
0.478096 | + | 0.878307i | \(0.341327\pi\) | |||||||
\(468\) | −18.2406 | − | 181.233i | −8.32811e−5 | − | 0.000827455i | ||||
\(469\) | 8674.07 | − | 49193.1i | 0.0394346 | − | 0.223645i | ||||
\(470\) | 325698. | + | 204519.i | 1.47442 | + | 0.925844i | ||||
\(471\) | 89508.4 | − | 106672.i | 0.403480 | − | 0.480849i | ||||
\(472\) | −100909. | + | 203467.i | −0.452947 | + | 0.913294i | ||||
\(473\) | 38742.4 | + | 14101.1i | 0.173167 | + | 0.0630275i | ||||
\(474\) | −19380.4 | + | 6249.85i | −0.0862592 | + | 0.0278172i | ||||
\(475\) | 70063.8 | + | 157664.i | 0.310532 | + | 0.698786i | ||||
\(476\) | 83155.7 | + | 115522.i | 0.367010 | + | 0.509860i | ||||
\(477\) | −724.835 | − | 263.818i | −0.00318568 | − | 0.00115949i | ||||
\(478\) | −166773. | + | 88203.4i | −0.729910 | + | 0.386038i | ||||
\(479\) | 88357.8 | − | 105301.i | 0.385100 | − | 0.458945i | −0.538317 | − | 0.842743i | \(-0.680940\pi\) |
0.923417 | + | 0.383798i | \(0.125384\pi\) | |||||||
\(480\) | 237221. | − | 194636.i | 1.02960 | − | 0.844772i | ||||
\(481\) | 9957.15 | − | 56469.8i | 0.0430373 | − | 0.244077i | ||||
\(482\) | 62175.6 | − | 289374.i | 0.267625 | − | 1.24556i | ||||
\(483\) | 101051. | − | 58341.8i | 0.433158 | − | 0.250084i | ||||
\(484\) | −129153. | + | 189667.i | −0.551333 | + | 0.809659i | ||||
\(485\) | −124866. | + | 45447.5i | −0.530836 | + | 0.193209i | ||||
\(486\) | 1624.51 | − | 1796.22i | 0.00687781 | − | 0.00760479i | ||||
\(487\) | 146368. | + | 84505.5i | 0.617145 | + | 0.356309i | 0.775757 | − | 0.631032i | \(-0.217368\pi\) |
−0.158611 | + | 0.987341i | \(0.550702\pi\) | |||||||
\(488\) | −120013. | − | 125934.i | −0.503951 | − | 0.528813i | ||||
\(489\) | −242243. | + | 203266.i | −1.01306 | + | 0.850055i | ||||
\(490\) | −239734. | − | 97474.2i | −0.998474 | − | 0.405973i | ||||
\(491\) | 9997.42 | − | 1762.81i | 0.0414691 | − | 0.00731213i | −0.152875 | − | 0.988246i | \(-0.548853\pi\) |
0.194344 | + | 0.980933i | \(0.437742\pi\) | |||||||
\(492\) | 34477.2 | + | 122269.i | 0.142430 | + | 0.505109i | ||||
\(493\) | −9038.92 | −0.0371897 | ||||||||
\(494\) | −14722.2 | − | 36745.9i | −0.0603279 | − | 0.150576i | ||||
\(495\) | − | 238.647i | − | 0.000973972i | ||||||
\(496\) | 105879. | + | 84236.4i | 0.430376 | + | 0.342402i | ||||
\(497\) | −21728.6 | − | 123229.i | −0.0879668 | − | 0.498884i | ||||
\(498\) | −280211. | − | 113932.i | −1.12987 | − | 0.459396i | ||||
\(499\) | −225936. | − | 269260.i | −0.907370 | − | 1.08136i | −0.996353 | − | 0.0853283i | \(-0.972806\pi\) |
0.0889829 | − | 0.996033i | \(-0.471638\pi\) | |||||||
\(500\) | −33949.1 | − | 70392.2i | −0.135796 | − | 0.281569i | ||||
\(501\) | −235716. | + | 408273.i | −0.939105 | + | 1.62658i | ||||
\(502\) | −63785.4 | + | 70527.5i | −0.253113 | + | 0.279867i | ||||
\(503\) | 25097.5 | + | 68954.8i | 0.0991961 | + | 0.272539i | 0.979358 | − | 0.202135i | \(-0.0647881\pi\) |
−0.880162 | + | 0.474674i | \(0.842566\pi\) | |||||||
\(504\) | 542.638 | + | 159.491i | 0.00213623 | + | 0.000627879i | ||||
\(505\) | −113547. | − | 196670.i | −0.445240 | − | 0.771178i | ||||
\(506\) | −8835.65 | + | 41122.4i | −0.0345094 | + | 0.160612i | ||||
\(507\) | 247114. | + | 43572.9i | 0.961350 | + | 0.169512i | ||||
\(508\) | −49729.9 | − | 12632.3i | −0.192704 | − | 0.0489502i | ||||
\(509\) | 358198. | + | 300563.i | 1.38257 | + | 1.16011i | 0.968251 | + | 0.249982i | \(0.0804247\pi\) |
0.414319 | + | 0.910132i | \(0.364020\pi\) | |||||||
\(510\) | −442940. | + | 234264.i | −1.70296 | + | 0.900669i | ||||
\(511\) | −57346.4 | + | 157558.i | −0.219616 | + | 0.603391i | ||||
\(512\) | −247657. | − | 85938.6i | −0.944737 | − | 0.327830i | ||||
\(513\) | 115234. | − | 235844.i | 0.437869 | − | 0.896168i | ||||
\(514\) | −334438. | + | 107851.i | −1.26587 | + | 0.408222i | ||||
\(515\) | 91838.6 | − | 252325.i | 0.346267 | − | 0.951360i | ||||
\(516\) | −246378. | − | 240034.i | −0.925344 | − | 0.901515i | ||||
\(517\) | −38376.3 | − | 32201.5i | −0.143576 | − | 0.120475i | ||||
\(518\) | 150787. | + | 94684.9i | 0.561957 | + | 0.352875i | ||||
\(519\) | −221890. | − | 39125.2i | −0.823765 | − | 0.145252i | ||||
\(520\) | −23346.6 | − | 53384.9i | −0.0863408 | − | 0.197429i | ||||
\(521\) | 82884.1 | + | 143559.i | 0.305348 | + | 0.528879i | 0.977339 | − | 0.211681i | \(-0.0678937\pi\) |
−0.671990 | + | 0.740560i | \(0.734560\pi\) | |||||||
\(522\) | −28.3515 | + | 22.0501i | −0.000104048 | + | 8.09225e-5i | ||||
\(523\) | 98749.6 | + | 271312.i | 0.361020 | + | 0.991896i | 0.978669 | + | 0.205442i | \(0.0658631\pi\) |
−0.617649 | + | 0.786454i | \(0.711915\pi\) | |||||||
\(524\) | −205229. | + | 455534.i | −0.747439 | + | 1.65904i | ||||
\(525\) | −45884.6 | + | 79474.4i | −0.166475 | + | 0.288343i | ||||
\(526\) | −323409. | + | 44725.2i | −1.16891 | + | 0.161652i | ||||
\(527\) | −142018. | − | 169250.i | −0.511354 | − | 0.609408i | ||||
\(528\) | −34082.4 | + | 20881.3i | −0.122254 | + | 0.0749015i | ||||
\(529\) | −15529.0 | − | 88069.5i | −0.0554923 | − | 0.314713i | ||||
\(530\) | −246575. | − | 9155.04i | −0.877804 | − | 0.0325918i | ||||
\(531\) | − | 1473.68i | − | 0.00522655i | ||||||
\(532\) | 122916. | + | 628.386i | 0.434294 | + | 0.00222026i | ||||
\(533\) | 24122.6 | 0.0849121 | ||||||||
\(534\) | −10338.9 | + | 278461.i | −0.0362570 | + | 0.976520i | ||||
\(535\) | 431952. | − | 76164.8i | 1.50913 | − | 0.266101i | ||||
\(536\) | −35378.1 | − | 146002.i | −0.123142 | − | 0.508193i | ||||
\(537\) | −211333. | + | 177329.i | −0.732855 | + | 0.614938i | ||||
\(538\) | −17110.9 | − | 123729.i | −0.0591163 | − | 0.427472i | ||||
\(539\) | 29194.2 | + | 16855.3i | 0.100489 | + | 0.0580174i | ||||
\(540\) | 158704. | − | 352266.i | 0.544253 | − | 1.20805i | ||||
\(541\) | 17855.7 | − | 6498.95i | 0.0610075 | − | 0.0222049i | −0.311336 | − | 0.950300i | \(-0.600777\pi\) |
0.372344 | + | 0.928095i | \(0.378554\pi\) | |||||||
\(542\) | −278663. | − | 358298.i | −0.948596 | − | 1.21968i | ||||
\(543\) | −250070. | + | 144378.i | −0.848129 | + | 0.489667i | ||||
\(544\) | 368338. | + | 218110.i | 1.24466 | + | 0.737018i | ||||
\(545\) | 83518.7 | − | 473658.i | 0.281184 | − | 1.59467i | ||||
\(546\) | 11197.1 | − | 17831.5i | 0.0375595 | − | 0.0598138i | ||||
\(547\) | 265740. | − | 316697.i | 0.888142 | − | 1.05845i | −0.109776 | − | 0.993956i | \(-0.535013\pi\) |
0.997918 | − | 0.0644902i | \(-0.0205421\pi\) | |||||||
\(548\) | 170960. | + | 166558.i | 0.569291 | + | 0.554631i | ||||
\(549\) | 1060.70 | + | 386.065i | 0.00351925 | + | 0.00128090i | ||||
\(550\) | −10152.9 | − | 31483.4i | −0.0335632 | − | 0.104077i | ||||
\(551\) | −4592.46 | + | 6311.65i | −0.0151266 | + | 0.0207893i | ||||
\(552\) | 208137. | − | 282527.i | 0.683081 | − | 0.927218i | ||||
\(553\) | −11282.5 | − | 4106.48i | −0.0368938 | − | 0.0134283i | ||||
\(554\) | 221001. | + | 417862.i | 0.720069 | + | 1.36149i | ||||
\(555\) | −402893. | + | 480150.i | −1.30799 | + | 1.55880i | ||||
\(556\) | 351642. | + | 89323.4i | 1.13750 | + | 0.288945i | ||||
\(557\) | 24189.5 | − | 137185.i | 0.0779679 | − | 0.442178i | −0.920686 | − | 0.390305i | \(-0.872370\pi\) |
0.998654 | − | 0.0518732i | \(-0.0165192\pi\) | |||||||
\(558\) | −858.333 | − | 184.424i | −0.00275669 | − | 0.000592309i | ||||
\(559\) | −56565.5 | + | 32658.1i | −0.181021 | + | 0.104512i | ||||
\(560\) | 180863. | − | 4719.07i | 0.576732 | − | 0.0150481i | ||||
\(561\) | 61334.1 | − | 22323.8i | 0.194884 | − | 0.0709320i | ||||
\(562\) | −317973. | − | 287577.i | −1.00674 | − | 0.910502i | ||||
\(563\) | 30816.9 | + | 17792.1i | 0.0972236 | + | 0.0561321i | 0.547823 | − | 0.836594i | \(-0.315457\pi\) |
−0.450600 | + | 0.892726i | \(0.648790\pi\) | |||||||
\(564\) | 181563. | + | 376465.i | 0.570782 | + | 1.18349i | ||||
\(565\) | 157166. | − | 131878.i | 0.492337 | − | 0.413119i | ||||
\(566\) | −72490.7 | + | 178288.i | −0.226282 | + | 0.556530i | ||||
\(567\) | 138203. | − | 24368.9i | 0.429883 | − | 0.0758000i | ||||
\(568\) | −208366. | − | 313368.i | −0.645849 | − | 0.971309i | ||||
\(569\) | 401249. | 1.23934 | 0.619668 | − | 0.784864i | \(-0.287267\pi\) | ||||
0.619668 | + | 0.784864i | \(0.287267\pi\) | |||||||
\(570\) | −61466.5 | + | 428318.i | −0.189186 | + | 1.31831i | ||||
\(571\) | − | 36662.8i | − | 0.112448i | −0.998418 | − | 0.0562242i | \(-0.982094\pi\) | ||
0.998418 | − | 0.0562242i | \(-0.0179061\pi\) | |||||||
\(572\) | 2059.86 | + | 7305.01i | 0.00629571 | + | 0.0223269i | ||||
\(573\) | −61941.7 | − | 351289.i | −0.188657 | − | 1.06993i | ||||
\(574\) | −28212.4 | + | 69387.2i | −0.0856281 | + | 0.210599i | ||||
\(575\) | 186680. | + | 222476.i | 0.564627 | + | 0.672897i | ||||
\(576\) | 1687.40 | − | 214.423i | 0.00508597 | − | 0.000646289i | ||||
\(577\) | −278694. | + | 482712.i | −0.837097 | + | 1.44989i | 0.0552148 | + | 0.998475i | \(0.482416\pi\) |
−0.892312 | + | 0.451420i | \(0.850918\pi\) | |||||||
\(578\) | −270665. | − | 244791.i | −0.810170 | − | 0.732722i | ||||
\(579\) | −159712. | − | 438806.i | −0.476410 | − | 1.30893i | ||||
\(580\) | −6466.67 | + | 9496.62i | −0.0192232 | + | 0.0282301i | ||||
\(581\) | −89176.5 | − | 154458.i | −0.264179 | − | 0.457571i | ||||
\(582\) | −141188. | − | 30336.0i | −0.416823 | − | 0.0895597i | ||||
\(583\) | 31653.0 | + | 5581.27i | 0.0931273 | + | 0.0164209i | ||||
\(584\) | 31846.5 | + | 503247.i | 0.0933762 | + | 1.47556i | ||||
\(585\) | 289.622 | + | 243.022i | 0.000846291 | + | 0.000710123i | ||||
\(586\) | 216524. | + | 409397.i | 0.630536 | + | 1.19220i | ||||
\(587\) | −86520.6 | + | 237713.i | −0.251098 | + | 0.689886i | 0.748543 | + | 0.663087i | \(0.230754\pi\) |
−0.999641 | + | 0.0267998i | \(0.991468\pi\) | |||||||
\(588\) | −164309. | − | 228262.i | −0.475233 | − | 0.660206i | ||||
\(589\) | −190339. | + | 13175.5i | −0.548653 | + | 0.0379785i | ||||
\(590\) | −144685. | − | 448659.i | −0.415642 | − | 1.28888i | ||||
\(591\) | 8942.66 | − | 24569.7i | 0.0256030 | − | 0.0703438i | ||||
\(592\) | 529583. | + | 79197.6i | 1.51109 | + | 0.225979i | ||||
\(593\) | 396046. | + | 332322.i | 1.12625 | + | 0.945038i | 0.998903 | − | 0.0468199i | \(-0.0149087\pi\) |
0.127349 | + | 0.991858i | \(0.459353\pi\) | |||||||
\(594\) | −26764.0 | + | 42621.9i | −0.0758540 | + | 0.120798i | ||||
\(595\) | −290955. | − | 51303.2i | −0.821849 | − | 0.144914i | ||||
\(596\) | −58558.2 | − | 581816.i | −0.164852 | − | 1.63792i | ||||
\(597\) | 286981. | + | 497066.i | 0.805202 | + | 1.39465i | ||||
\(598\) | −40908.4 | − | 52599.1i | −0.114396 | − | 0.147087i | ||||
\(599\) | −69657.3 | − | 191382.i | −0.194139 | − | 0.533392i | 0.803983 | − | 0.594652i | \(-0.202710\pi\) |
−0.998122 | + | 0.0612600i | \(0.980488\pi\) | |||||||
\(600\) | −30663.8 | + | 274280.i | −0.0851773 | + | 0.761889i | ||||
\(601\) | 196328. | − | 340049.i | 0.543541 | − | 0.941440i | −0.455156 | − | 0.890412i | \(-0.650417\pi\) |
0.998697 | − | 0.0510288i | \(-0.0162500\pi\) | |||||||
\(602\) | −27783.4 | − | 200902.i | −0.0766641 | − | 0.554360i | ||||
\(603\) | 626.574 | + | 746.721i | 0.00172321 | + | 0.00205364i | ||||
\(604\) | −5096.84 | + | 68542.7i | −0.0139710 | + | 0.187883i | ||||
\(605\) | −82706.5 | − | 469052.i | −0.225959 | − | 1.28148i | ||||
\(606\) | 9157.11 | − | 246631.i | 0.0249352 | − | 0.671588i | ||||
\(607\) | 257203.i | 0.698069i | 0.937110 | + | 0.349035i | \(0.113490\pi\) | ||||
−0.937110 | + | 0.349035i | \(0.886510\pi\) | |||||||
\(608\) | 339445. | − | 146385.i | 0.918253 | − | 0.395995i | ||||
\(609\) | −4151.82 | −0.0111945 | ||||||||
\(610\) | 360832. | + | 13397.2i | 0.969718 | + | 0.0360044i | ||||
\(611\) | 78159.5 | − | 13781.6i | 0.209363 | − | 0.0369163i | ||||
\(612\) | −2769.98 | − | 205.976i | −0.00739560 | − | 0.000549937i | ||||
\(613\) | −345572. | + | 289969.i | −0.919638 | + | 0.771668i | −0.973928 | − | 0.226857i | \(-0.927155\pi\) |
0.0542897 | + | 0.998525i | \(0.482711\pi\) | |||||||
\(614\) | 645129. | − | 89216.7i | 1.71124 | − | 0.236652i | ||||
\(615\) | −228356. | − | 131841.i | −0.603757 | − | 0.348579i | ||||
\(616\) | −23421.5 | − | 2618.47i | −0.0617239 | − | 0.00690058i | ||||
\(617\) | 47785.5 | − | 17392.5i | 0.125524 | − | 0.0456869i | −0.278495 | − | 0.960438i | \(-0.589835\pi\) |
0.404018 | + | 0.914751i | \(0.367613\pi\) | |||||||
\(618\) | 230352. | − | 179154.i | 0.603137 | − | 0.469084i | ||||
\(619\) | 366958. | − | 211863.i | 0.957712 | − | 0.552935i | 0.0622439 | − | 0.998061i | \(-0.480174\pi\) |
0.895468 | + | 0.445126i | \(0.146841\pi\) | |||||||
\(620\) | −279424. | + | 28123.2i | −0.726909 | + | 0.0731614i | ||||
\(621\) | 76726.9 | − | 435140.i | 0.198959 | − | 1.12835i | ||||
\(622\) | 310841. | + | 195189.i | 0.803447 | + | 0.504516i | ||||
\(623\) | −105609. | + | 125860.i | −0.272099 | + | 0.324275i | ||||
\(624\) | 9365.60 | − | 62626.5i | 0.0240528 | − | 0.160838i | ||||
\(625\) | 433120. | + | 157643.i | 1.10879 | + | 0.403565i | ||||
\(626\) | 547690. | − | 176621.i | 1.39761 | − | 0.450706i | ||||
\(627\) | 15574.2 | − | 54170.3i | 0.0396161 | − | 0.137793i | ||||
\(628\) | 200404. | − | 144256.i | 0.508144 | − | 0.365775i | ||||
\(629\) | −821673. | − | 299065.i | −2.07682 | − | 0.755899i | ||||
\(630\) | −1037.76 | + | 548.856i | −0.00261467 | + | 0.00138286i | ||||
\(631\) | −274688. | + | 327360.i | −0.689892 | + | 0.822181i | −0.991343 | − | 0.131301i | \(-0.958085\pi\) |
0.301451 | + | 0.953482i | \(0.402529\pi\) | |||||||
\(632\) | −36036.7 | + | 2280.47i | −0.0902217 | + | 0.00570941i | ||||
\(633\) | −73301.8 | + | 415715.i | −0.182939 | + | 1.03750i | ||||
\(634\) | 97068.5 | − | 451771.i | 0.241490 | − | 1.12393i | ||||
\(635\) | 92231.4 | − | 53249.9i | 0.228734 | − | 0.132060i | ||||
\(636\) | −221649. | − | 150930.i | −0.547962 | − | 0.373132i | ||||
\(637\) | −50184.8 | + | 18265.8i | −0.123678 | + | 0.0450152i | ||||
\(638\) | 1003.87 | − | 1109.98i | 0.00246625 | − | 0.00272693i | ||||
\(639\) | 2114.68 | + | 1220.91i | 0.00517895 | + | 0.00299007i | ||||
\(640\) | 492673. | − | 230948.i | 1.20281 | − | 0.563839i | ||||
\(641\) | −168552. | + | 141432.i | −0.410221 | + | 0.344216i | −0.824428 | − | 0.565966i | \(-0.808503\pi\) |
0.414207 | + | 0.910182i | \(0.364059\pi\) | |||||||
\(642\) | 441572. | + | 179541.i | 1.07135 | + | 0.435605i | ||||
\(643\) | 424317. | − | 74818.5i | 1.02629 | − | 0.180962i | 0.364930 | − | 0.931035i | \(-0.381093\pi\) |
0.661355 | + | 0.750073i | \(0.269982\pi\) | |||||||
\(644\) | 199142. | − | 56153.8i | 0.480166 | − | 0.135396i | ||||
\(645\) | 713969. | 1.71617 | ||||||||
\(646\) | −590819. | + | 123788.i | −1.41576 | + | 0.296630i | ||||
\(647\) | 234925.i | 0.561205i | 0.959824 | + | 0.280602i | \(0.0905342\pi\) | ||||
−0.959824 | + | 0.280602i | \(0.909466\pi\) | |||||||
\(648\) | 351445. | − | 233685.i | 0.836966 | − | 0.556520i | ||||
\(649\) | 10663.1 | + | 60473.6i | 0.0253160 | + | 0.143574i | ||||
\(650\) | 48547.2 | + | 19739.0i | 0.114905 | + | 0.0467195i | ||||
\(651\) | −65232.6 | − | 77741.2i | −0.153923 | − | 0.183438i | ||||
\(652\) | −505072. | + | 243589.i | −1.18811 | + | 0.573009i | ||||
\(653\) | −295127. | + | 511175.i | −0.692122 | + | 1.19879i | 0.279019 | + | 0.960286i | \(0.409991\pi\) |
−0.971141 | + | 0.238505i | \(0.923343\pi\) | |||||||
\(654\) | 350611. | − | 387671.i | 0.819729 | − | 0.906374i | ||||
\(655\) | −354693. | − | 974511.i | −0.826742 | − | 2.27146i | ||||
\(656\) | 5875.63 | + | 225190.i | 0.0136536 | + | 0.523288i | ||||
\(657\) | −1635.97 | − | 2833.59i | −0.00379006 | − | 0.00656457i | ||||
\(658\) | −51768.8 | + | 240939.i | −0.119568 | + | 0.556488i | ||||
\(659\) | 71047.9 | + | 12527.7i | 0.163599 | + | 0.0288469i | 0.254848 | − | 0.966981i | \(-0.417975\pi\) |
−0.0912487 | + | 0.995828i | \(0.529086\pi\) | |||||||
\(660\) | 20425.8 | − | 80410.8i | 0.0468911 | − | 0.184598i | ||||
\(661\) | 116248. | + | 97543.8i | 0.266062 | + | 0.223253i | 0.766052 | − | 0.642779i | \(-0.222218\pi\) |
−0.499990 | + | 0.866031i | \(0.666663\pi\) | |||||||
\(662\) | 491985. | − | 260203.i | 1.12263 | − | 0.593741i | ||||
\(663\) | −35366.2 | + | 97167.9i | −0.0804566 | + | 0.221053i | ||||
\(664\) | −431848. | − | 318142.i | −0.979478 | − | 0.721580i | ||||
\(665\) | −183651. | + | 177101.i | −0.415289 | + | 0.400477i | ||||
\(666\) | −3306.82 | + | 1066.39i | −0.00745524 | + | 0.00240419i | ||||
\(667\) | −4493.90 | + | 12346.9i | −0.0101012 | + | 0.0277527i | ||||
\(668\) | −583355. | + | 598774.i | −1.30731 | + | 1.34187i | ||||
\(669\) | 43784.3 | + | 36739.4i | 0.0978287 | + | 0.0820881i | ||||
\(670\) | 264071. | + | 165821.i | 0.588263 | + | 0.369393i | ||||
\(671\) | −46320.1 | − | 8167.49i | −0.102879 | − | 0.0181403i | ||||
\(672\) | 169188. | + | 100184.i | 0.374654 | + | 0.221850i | ||||
\(673\) | 189772. | + | 328695.i | 0.418989 | + | 0.725710i | 0.995838 | − | 0.0911410i | \(-0.0290514\pi\) |
−0.576849 | + | 0.816851i | \(0.695718\pi\) | |||||||
\(674\) | −81849.5 | + | 63657.7i | −0.180176 | + | 0.140130i | ||||
\(675\) | 118855. | + | 326550.i | 0.260861 | + | 0.716708i | ||||
\(676\) | 405682. | + | 182769.i | 0.887753 | + | 0.399954i | ||||
\(677\) | 50313.8 | − | 87146.0i | 0.109777 | − | 0.190139i | −0.805903 | − | 0.592047i | \(-0.798320\pi\) |
0.915680 | + | 0.401909i | \(0.131653\pi\) | |||||||
\(678\) | 220867. | − | 30544.4i | 0.480476 | − | 0.0664465i | ||||
\(679\) | −54731.6 | − | 65226.6i | −0.118713 | − | 0.141477i | ||||
\(680\) | −863534. | + | 209245.i | −1.86750 | + | 0.452520i | ||||
\(681\) | −132631. | − | 752186.i | −0.285989 | − | 1.62193i | ||||
\(682\) | 36556.7 | + | 1357.30i | 0.0785956 | + | 0.00291816i | ||||
\(683\) | 817576.i | 1.75262i | 0.481751 | + | 0.876308i | \(0.340001\pi\) | ||||
−0.481751 | + | 0.876308i | \(0.659999\pi\) | |||||||
\(684\) | −1551.19 | + | 1829.56i | −0.00331552 | + | 0.00391051i | ||||
\(685\) | −495418. | −1.05582 | ||||||||
\(686\) | 13736.0 | − | 369955.i | 0.0291885 | − | 0.786141i | ||||
\(687\) | −708393. | + | 124909.i | −1.50093 | + | 0.264655i | ||||
\(688\) | −318649. | − | 520097.i | −0.673186 | − | 1.09877i | ||||
\(689\) | −39006.6 | + | 32730.4i | −0.0821673 | + | 0.0689466i | ||||
\(690\) | 99779.9 | + | 721512.i | 0.209578 | + | 1.51546i | ||||
\(691\) | −63664.2 | − | 36756.5i | −0.133333 | − | 0.0769801i | 0.431850 | − | 0.901946i | \(-0.357861\pi\) |
−0.565183 | + | 0.824966i | \(0.691194\pi\) | |||||||
\(692\) | −364272. | − | 164113.i | −0.760700 | − | 0.342714i | ||||
\(693\) | 143.699 | − | 52.3023i | 0.000299219 | − | 0.000108907i | ||||
\(694\) | 314025. | + | 403766.i | 0.651996 | + | 0.838321i | ||||
\(695\) | −652172. | + | 376532.i | −1.35018 | + | 0.779529i | ||||
\(696\) | −11440.1 | + | 5003.05i | −0.0236163 | + | 0.0103280i | ||||
\(697\) | 63876.8 | − | 362263.i | 0.131485 | − | 0.745691i | ||||
\(698\) | 290479. | − | 462591.i | 0.596217 | − | 0.949481i | ||||
\(699\) | −87445.9 | + | 104214.i | −0.178972 | + | 0.213291i | ||||
\(700\) | −113556. | + | 116557.i | −0.231747 | + | 0.237872i | ||||
\(701\) | −699764. | − | 254693.i | −1.42402 | − | 0.518301i | −0.488808 | − | 0.872391i | \(-0.662568\pi\) |
−0.935211 | + | 0.354091i | \(0.884790\pi\) | |||||||
\(702\) | −24471.3 | − | 75883.9i | −0.0496573 | − | 0.153984i | ||||
\(703\) | −626302. | + | 421807.i | −1.26728 | + | 0.853498i | ||||
\(704\) | −67692.1 | + | 21008.5i | −0.136582 | + | 0.0423887i | ||||
\(705\) | −815218. | − | 296715.i | −1.64020 | − | 0.596982i | ||||
\(706\) | 158623. | + | 299920.i | 0.318242 | + | 0.601723i | ||||
\(707\) | 93537.8 | − | 111474.i | 0.187132 | − | 0.223015i | ||||
\(708\) | 126132. | − | 496549.i | 0.251628 | − | 0.990594i | ||||
\(709\) | 97688.0 | − | 554016.i | 0.194334 | − | 1.10212i | −0.719030 | − | 0.694979i | \(-0.755414\pi\) |
0.913364 | − | 0.407144i | \(-0.133475\pi\) | |||||||
\(710\) | 763675. | + | 164085.i | 1.51493 | + | 0.325501i | ||||
\(711\) | 202.909 | − | 117.149i | 0.000401385 | − | 0.000231740i | ||||
\(712\) | −139336. | + | 474064.i | −0.274855 | + | 0.935142i | ||||
\(713\) | −301798. | + | 109846.i | −0.593659 | + | 0.216074i | ||||
\(714\) | −238135. | − | 215371.i | −0.467119 | − | 0.422465i | ||||
\(715\) | −13643.3 | − | 7876.94i | −0.0266874 | − | 0.0154080i | ||||
\(716\) | −440625. | + | 212507.i | −0.859494 | + | 0.414521i | ||||
\(717\) | 326009. | − | 273554.i | 0.634148 | − | 0.532113i | ||||
\(718\) | −80205.6 | + | 197262.i | −0.155581 | + | 0.382644i | ||||
\(719\) | 28670.5 | − | 5055.38i | 0.0554597 | − | 0.00977904i | −0.145849 | − | 0.989307i | \(-0.546592\pi\) |
0.201309 | + | 0.979528i | \(0.435480\pi\) | |||||||
\(720\) | −2198.12 | + | 2762.88i | −0.00424019 | + | 0.00532963i | ||||
\(721\) | 172063. | 0.330991 | ||||||||
\(722\) | −213743. | + | 475448.i | −0.410031 | + | 0.912072i | ||||
\(723\) | 667656.i | 1.27725i | ||||||||
\(724\) | −492815. | + | 138963.i | −0.940171 | + | 0.265108i | ||||
\(725\) | −1794.44 | − | 10176.8i | −0.00341392 | − | 0.0193613i | ||||
\(726\) | 194961. | − | 479499.i | 0.369892 | − | 0.909733i | ||||
\(727\) | −299573. | − | 357017.i | −0.566805 | − | 0.675491i | 0.404167 | − | 0.914685i | \(-0.367561\pi\) |
−0.970972 | + | 0.239194i | \(0.923117\pi\) | |||||||
\(728\) | 27028.6 | − | 25757.8i | 0.0509989 | − | 0.0486012i | ||||
\(729\) | 264344. | − | 457858.i | 0.497410 | − | 0.861540i | ||||
\(730\) | −776267. | − | 702060.i | −1.45668 | − | 1.31743i | ||||
\(731\) | 340660. | + | 935957.i | 0.637510 | + | 1.75154i | ||||
\(732\) | 324355. | + | 220868.i | 0.605338 | + | 0.412202i | ||||
\(733\) | 128790. | + | 223070.i | 0.239703 | + | 0.415177i | 0.960629 | − | 0.277835i | \(-0.0896167\pi\) |
−0.720926 | + | 0.693012i | \(0.756283\pi\) | |||||||
\(734\) | −151560. | − | 32564.5i | −0.281314 | − | 0.0604439i | ||||
\(735\) | 574905. | + | 101371.i | 1.06419 | + | 0.187646i | ||||
\(736\) | 481059. | − | 394701.i | 0.888061 | − | 0.728639i | ||||
\(737\) | −31114.9 | − | 26108.5i | −0.0572840 | − | 0.0480670i | ||||
\(738\) | −683.371 | − | 1292.10i | −0.00125471 | − | 0.00237238i | ||||
\(739\) | 78426.0 | − | 215474.i | 0.143605 | − | 0.394553i | −0.846949 | − | 0.531675i | \(-0.821563\pi\) |
0.990554 | + | 0.137122i | \(0.0437852\pi\) | |||||||
\(740\) | −902054. | + | 649321.i | −1.64729 | + | 1.18576i | ||||
\(741\) | 49881.2 | + | 74064.1i | 0.0908450 | + | 0.134887i | ||||
\(742\) | −48527.2 | − | 150480.i | −0.0881409 | − | 0.273319i | ||||
\(743\) | 188522. | − | 517961.i | 0.341496 | − | 0.938251i | −0.643466 | − | 0.765475i | \(-0.722504\pi\) |
0.984961 | − | 0.172776i | \(-0.0552738\pi\) | |||||||
\(744\) | −273426. | − | 135605.i | −0.493962 | − | 0.244979i | ||||
\(745\) | 929782. | + | 780180.i | 1.67521 | + | 1.40567i | ||||
\(746\) | −465798. | + | 741788.i | −0.836990 | + | 1.33291i | ||||
\(747\) | 3427.55 | + | 604.369i | 0.00614246 | + | 0.00108308i | ||||
\(748\) | 115158. | − | 11590.4i | 0.205822 | − | 0.0207154i | ||||
\(749\) | 140529. | + | 243404.i | 0.250497 | + | 0.433874i | ||||
\(750\) | 108229. | + | 139158.i | 0.192406 | + | 0.247391i | ||||
\(751\) | 30.2909 | + | 83.2237i | 5.37073e−5 | + | 0.000147559i | 0.939719 | − | 0.341946i | \(-0.111086\pi\) |
−0.939666 | + | 0.342094i | \(0.888864\pi\) | |||||||
\(752\) | 147692. | + | 726279.i | 0.261169 | + | 1.28430i | ||||
\(753\) | 107254. | − | 185769.i | 0.189157 | − | 0.327629i | ||||
\(754\) | 324.798 | + | 2348.63i | 0.000571309 | + | 0.00413115i | ||||
\(755\) | −91702.1 | − | 109286.i | −0.160874 | − | 0.191722i | ||||
\(756\) | 246896. | + | 18359.2i | 0.431986 | + | 0.0321225i | ||||
\(757\) | −105376. | − | 597616.i | −0.183886 | − | 1.04287i | −0.927378 | − | 0.374125i | \(-0.877943\pi\) |
0.743492 | − | 0.668745i | \(-0.233168\pi\) | |||||||
\(758\) | 24958.8 | − | 672222.i | 0.0434395 | − | 1.16997i | ||||
\(759\) | − | 94879.3i | − | 0.164698i | ||||||
\(760\) | −292630. | + | 709297.i | −0.506631 | + | 1.22801i | ||||
\(761\) | 933235. | 1.61147 | 0.805734 | − | 0.592278i | \(-0.201771\pi\) | ||||
0.805734 | + | 0.592278i | \(0.201771\pi\) | |||||||
\(762\) | 115662. | + | 4294.38i | 0.199196 | + | 0.00739589i | ||||
\(763\) | 303513. | − | 53517.6i | 0.521349 | − | 0.0919279i | ||||
\(764\) | 46905.4 | − | 630787.i | 0.0803592 | − | 1.08068i | ||||
\(765\) | 4416.52 | − | 3705.90i | 0.00754670 | − | 0.00633244i | ||||
\(766\) | −720269. | + | 99608.1i | −1.22754 | + | 0.169761i | ||||
\(767\) | −84249.2 | − | 48641.3i | −0.143211 | − | 0.0826827i | ||||
\(768\) | 586913. | + | 72175.8i | 0.995064 | + | 0.122368i | ||||
\(769\) | −734040. | + | 267169.i | −1.24127 | + | 0.451786i | −0.877444 | − | 0.479680i | \(-0.840753\pi\) |
−0.363829 | + | 0.931466i | \(0.618531\pi\) | |||||||
\(770\) | 38613.9 | − | 30031.6i | 0.0651272 | − | 0.0506520i | ||||
\(771\) | 686471. | − | 396334.i | 1.15482 | − | 0.666735i | ||||
\(772\) | −82921.4 | − | 823881.i | −0.139134 | − | 1.38239i | ||||
\(773\) | −131641. | + | 746572.i | −0.220309 | + | 1.24943i | 0.651145 | + | 0.758954i | \(0.274289\pi\) |
−0.871453 | + | 0.490478i | \(0.836822\pi\) | |||||||
\(774\) | 3351.75 | + | 2104.70i | 0.00559486 | + | 0.00351324i | ||||
\(775\) | 162362. | − | 193496.i | 0.270322 | − | 0.322157i | ||||
\(776\) | −229410. | − | 113776.i | −0.380968 | − | 0.188941i | ||||
\(777\) | −377417. | − | 137368.i | −0.625142 | − | 0.227533i | ||||
\(778\) | −156269. | + | 50394.1i | −0.258174 | + | 0.0832569i | ||||
\(779\) | −220505. | − | 228661.i | −0.363366 | − | 0.376805i | ||||
\(780\) | 76786.3 | + | 106673.i | 0.126210 | + | 0.175334i | ||||
\(781\) | −95611.2 | − | 34799.6i | −0.156750 | − | 0.0570522i | ||||
\(782\) | −898236. | + | 475063.i | −1.46885 | + | 0.776851i | ||||
\(783\) | −10105.9 | + | 12043.7i | −0.0164835 | + | 0.0196443i | ||||
\(784\) | −182739. | − | 464037.i | −0.297302 | − | 0.754954i | ||||
\(785\) | −88999.2 | + | 504740.i | −0.144426 | + | 0.819083i | ||||
\(786\) | 236756. | − | 1.10190e6i | 0.383227 | − | 1.78359i | ||||
\(787\) | 69540.0 | − | 40149.0i | 0.112276 | − | 0.0648224i | −0.442811 | − | 0.896615i | \(-0.646019\pi\) |
0.555086 | + | 0.831793i | \(0.312685\pi\) | |||||||
\(788\) | 26095.7 | − | 38322.9i | 0.0420259 | − | 0.0617171i | ||||
\(789\) | 692062. | − | 251890.i | 1.11171 | − | 0.404629i | ||||
\(790\) | 50273.3 | − | 55587.2i | 0.0805533 | − | 0.0890678i | ||||
\(791\) | 113854. | + | 65733.6i | 0.181968 | + | 0.105059i | ||||
\(792\) | 332.931 | − | 317.278i | 0.000530767 | − | 0.000505813i | ||||
\(793\) | 57081.2 | − | 47896.8i | 0.0907709 | − | 0.0761659i | ||||
\(794\) | 192258. | + | 78170.8i | 0.304960 | + | 0.123995i | ||||
\(795\) | 548142. | − | 96652.2i | 0.867279 | − | 0.152925i | ||||
\(796\) | 276218. | + | 979573.i | 0.435940 | + | 1.54600i | ||||
\(797\) | −7232.82 | −0.0113865 | −0.00569326 | − | 0.999984i | \(-0.501812\pi\) | ||||
−0.00569326 | + | 0.999984i | \(0.501812\pi\) | |||||||
\(798\) | −271379. | + | 56859.3i | −0.426158 | + | 0.0892886i | ||||
\(799\) | − | 1.21026e6i | − | 1.89577i | ||||||
\(800\) | −172443. | + | 458006.i | −0.269442 | + | 0.715635i | ||||
\(801\) | −556.746 | − | 3157.46i | −0.000867745 | − | 0.00492123i | ||||
\(802\) | 182674. | + | 74274.0i | 0.284006 | + | 0.115475i | ||||
\(803\) | 87636.2 | + | 104441.i | 0.135910 | + | 0.161972i | ||||
\(804\) | 147209. | + | 305232.i | 0.227730 | + | 0.472191i | ||||
\(805\) | −214733. | + | 371929.i | −0.331366 | + | 0.573943i | ||||
\(806\) | −38874.0 | + | 42982.9i | −0.0598396 | + | 0.0661647i | ||||
\(807\) | 96367.5 | + | 264768.i | 0.147973 | + | 0.406554i | ||||
\(808\) | 123409. | − | 419877.i | 0.189028 | − | 0.643130i | ||||
\(809\) | −143399. | − | 248375.i | −0.219104 | − | 0.379499i | 0.735430 | − | 0.677600i | \(-0.236980\pi\) |
−0.954534 | + | 0.298101i | \(0.903647\pi\) | |||||||
\(810\) | −184023. | + | 856470.i | −0.280480 | + | 1.30540i | ||||
\(811\) | 607705. | + | 107155.i | 0.923956 | + | 0.162918i | 0.615334 | − | 0.788266i | \(-0.289021\pi\) |
0.308622 | + | 0.951185i | \(0.400132\pi\) | |||||||
\(812\) | −7135.55 | − | 1812.56i | −0.0108222 | − | 0.00274903i | ||||
\(813\) | 784356. | + | 658153.i | 1.18668 | + | 0.995739i | ||||
\(814\) | 127981. | − | 67687.3i | 0.193151 | − | 0.102155i | ||||
\(815\) | 398078. | − | 1.09371e6i | 0.599312 | − | 1.64660i | ||||
\(816\) | −915698. | − | 306484.i | −1.37522 | − | 0.460286i | ||||
\(817\) | 826637. | + | 237662.i | 1.23843 | + | 0.356055i | ||||
\(818\) | −118990. | + | 38372.3i | −0.177829 | + | 0.0573470i | ||||
\(819\) | −82.8594 | + | 227.654i | −0.000123531 | + | 0.000339397i | ||||
\(820\) | −334908. | − | 326283.i | −0.498078 | − | 0.485252i | ||||
\(821\) | −566398. | − | 475264.i | −0.840302 | − | 0.705097i | 0.117330 | − | 0.993093i | \(-0.462567\pi\) |
−0.957632 | + | 0.287996i | \(0.907011\pi\) | |||||||
\(822\) | −455966. | − | 286319.i | −0.674822 | − | 0.423748i | ||||
\(823\) | 822012. | + | 144943.i | 1.21361 | + | 0.213992i | 0.743572 | − | 0.668656i | \(-0.233130\pi\) |
0.470036 | + | 0.882647i | \(0.344241\pi\) | |||||||
\(824\) | 474110. | − | 207340.i | 0.698272 | − | 0.305372i | ||||
\(825\) | 37310.3 | + | 64623.3i | 0.0548177 | + | 0.0949470i | ||||
\(826\) | 238447. | − | 185450.i | 0.349487 | − | 0.271810i | ||||
\(827\) | 247029. | + | 678707.i | 0.361191 | + | 0.992365i | 0.978609 | + | 0.205729i | \(0.0659567\pi\) |
−0.617418 | + | 0.786636i | \(0.711821\pi\) | |||||||
\(828\) | −1658.51 | + | 3681.30i | −0.00241912 | + | 0.00536958i | ||||
\(829\) | 303161. | − | 525091.i | 0.441128 | − | 0.764057i | −0.556645 | − | 0.830750i | \(-0.687912\pi\) |
0.997773 | + | 0.0666937i | \(0.0212450\pi\) | |||||||
\(830\) | 1.10284e6 | − | 152515.i | 1.60088 | − | 0.221390i | ||||
\(831\) | −685410. | − | 816840.i | −0.992541 | − | 1.18286i | ||||
\(832\) | 43437.0 | − | 103545.i | 0.0627500 | − | 0.149583i | ||||
\(833\) | 141418. | + | 802022.i | 0.203805 | + | 1.15584i | ||||
\(834\) | −817849. | − | 30365.7i | −1.17582 | − | 0.0436568i | ||||
\(835\) | − | 1.73516e6i | − | 2.48866i | ||||||
\(836\) | 50415.8 | − | 86300.9i | 0.0721364 | − | 0.123482i | ||||
\(837\) | −384295. | −0.548547 | ||||||||
\(838\) | −2837.03 | + | 76410.6i | −0.00403995 | + | 0.108809i | ||||
\(839\) | −779660. | + | 137475.i | −1.10760 | + | 0.195299i | −0.697388 | − | 0.716693i | \(-0.745655\pi\) |
−0.410207 | + | 0.911992i | \(0.634544\pi\) | |||||||
\(840\) | −396644. | + | 96112.0i | −0.562138 | + | 0.136213i | ||||
\(841\) | −541451. | + | 454331.i | −0.765538 | + | 0.642363i | ||||
\(842\) | −54674.8 | − | 395355.i | −0.0771192 | − | 0.557652i | ||||
\(843\) | 837539. | + | 483553.i | 1.17855 | + | 0.680439i | ||||
\(844\) | −307469. | + | 682470.i | −0.431635 | + | 0.958073i | ||||
\(845\) | −867864. | + | 315877.i | −1.21545 | + | 0.442389i | ||||
\(846\) | −2952.38 | − | 3796.10i | −0.00412508 | − | 0.00530393i | ||||
\(847\) | 264309. | − | 152599.i | 0.368422 | − | 0.212709i | ||||
\(848\) | −315046. | − | 356162.i | −0.438109 | − | 0.495286i | ||||
\(849\) | 75388.9 | − | 427552.i | 0.104590 | − | 0.593162i | ||||
\(850\) | 424985. | − | 676792.i | 0.588214 | − | 0.936737i | ||||
\(851\) | −817026. | + | 973694.i | −1.12818 | + | 1.34451i | ||||
\(852\) | 608030. | + | 592372.i | 0.837618 | + | 0.816048i | ||||
\(853\) | 804858. | + | 292944.i | 1.10617 | + | 0.402612i | 0.829587 | − | 0.558378i | \(-0.188576\pi\) |
0.276582 | + | 0.960990i | \(0.410798\pi\) | |||||||
\(854\) | 71013.4 | + | 220208.i | 0.0973699 | + | 0.301938i | ||||
\(855\) | −343.811 | − | 4966.83i | −0.000470313 | − | 0.00679433i | ||||
\(856\) | 680529. | + | 501345.i | 0.928751 | + | 0.684210i | ||||
\(857\) | −1.18148e6 | − | 430025.i | −1.60867 | − | 0.585507i | −0.627492 | − | 0.778623i | \(-0.715918\pi\) |
−0.981176 | + | 0.193116i | \(0.938141\pi\) | |||||||
\(858\) | −8004.44 | − | 15134.6i | −0.0108732 | − | 0.0205587i | ||||
\(859\) | 662413. | − | 789433.i | 0.897724 | − | 1.06987i | −0.0994729 | − | 0.995040i | \(-0.531716\pi\) |
0.997197 | − | 0.0748253i | \(-0.0238399\pi\) | |||||||
\(860\) | 1.22707e6 | + | 311697.i | 1.65910 | + | 0.421440i | ||||
\(861\) | 29340.3 | − | 166397.i | 0.0395784 | − | 0.224460i | ||||
\(862\) | 797771. | + | 171411.i | 1.07365 | + | 0.230688i | ||||
\(863\) | −1.07133e6 | + | 618530.i | −1.43847 | + | 0.830499i | −0.997743 | − | 0.0671439i | \(-0.978611\pi\) |
−0.440723 | + | 0.897643i | \(0.645278\pi\) | |||||||
\(864\) | 702432. | − | 246928.i | 0.940973 | − | 0.330783i | ||||
\(865\) | 779277. | − | 283634.i | 1.04150 | − | 0.379076i | ||||
\(866\) | 790533. | + | 714962.i | 1.05411 | + | 0.953339i | ||||
\(867\) | 712929. | + | 411610.i | 0.948436 | + | 0.547580i | ||||
\(868\) | −78173.1 | − | 162089.i | −0.103757 | − | 0.215137i | ||||
\(869\) | −7478.83 | + | 6275.48i | −0.00990362 | + | 0.00831013i | ||||
\(870\) | 9761.67 | − | 24008.4i | 0.0128969 | − | 0.0317194i | ||||
\(871\) | 63370.4 | − | 11173.9i | 0.0835315 | − | 0.0147289i | ||||
\(872\) | 771825. | − | 513207.i | 1.01505 | − | 0.674931i | ||||
\(873\) | 1661.58 | 0.00218019 | ||||||||
\(874\) | −124648. | + | 868585.i | −0.163178 | + | 1.13708i | ||||
\(875\) | 103944.i | 0.135764i | ||||||||
\(876\) | −308706. | − | 1.09478e6i | −0.402287 | − | 1.42666i | ||||
\(877\) | 75227.8 | + | 426638.i | 0.0978090 | + | 0.554703i | 0.993850 | + | 0.110732i | \(0.0353195\pi\) |
−0.896041 | + | 0.443971i | \(0.853569\pi\) | |||||||
\(878\) | 165268. | − | 406469.i | 0.214387 | − | 0.527277i | ||||
\(879\) | −671525. | − | 800293.i | −0.869130 | − | 1.03579i | ||||
\(880\) | 70209.8 | − | 129281.i | 0.0906635 | − | 0.166944i | ||||
\(881\) | 95188.1 | − | 164871.i | 0.122640 | − | 0.212418i | −0.798168 | − | 0.602435i | \(-0.794197\pi\) |
0.920808 | + | 0.390017i | \(0.127531\pi\) | |||||||
\(882\) | 2400.08 | + | 2170.64i | 0.00308523 | + | 0.00279030i | ||||
\(883\) | −242555. | − | 666414.i | −0.311092 | − | 0.854718i | −0.992437 | − | 0.122756i | \(-0.960827\pi\) |
0.681345 | − | 0.731962i | \(-0.261395\pi\) | |||||||
\(884\) | −103203. | + | 151559.i | −0.132065 | + | 0.193944i | ||||
\(885\) | 531696. | + | 920924.i | 0.678854 | + | 1.17581i | ||||
\(886\) | 117691. | + | 25287.3i | 0.149925 | + | 0.0322133i | ||||
\(887\) | 390584. | + | 68870.6i | 0.496441 | + | 0.0875360i | 0.416262 | − | 0.909245i | \(-0.363340\pi\) |
0.0801788 | + | 0.996781i | \(0.474451\pi\) | |||||||
\(888\) | −1.20549e6 | + | 76285.5i | −1.52875 | + | 0.0967423i | ||||
\(889\) | 52277.5 | + | 43866.1i | 0.0661472 | + | 0.0555041i | ||||
\(890\) | −479497. | − | 906620.i | −0.605349 | − | 1.14458i | ||||
\(891\) | 39028.2 | − | 107229.i | 0.0491612 | − | 0.135069i | ||||
\(892\) | 59210.9 | + | 82257.3i | 0.0744170 | + | 0.103382i | ||||
\(893\) | −845095. | − | 614904.i | −1.05975 | − | 0.771089i | ||||
\(894\) | 404847. | + | 1.25540e6i | 0.506543 | + | 1.57076i | ||||
\(895\) | 347283. | − | 954154.i | 0.433549 | − | 1.19117i | ||||
\(896\) | 247038. | + | 246044.i | 0.307715 | + | 0.306476i | ||||
\(897\) | 115145. | + | 96618.4i | 0.143107 | + | 0.120081i | ||||
\(898\) | −25581.4 | + | 40738.6i | −0.0317228 | + | 0.0505189i | ||||
\(899\) | 11254.1 | + | 1984.40i | 0.0139249 | + | 0.00245533i | ||||
\(900\) | −318.001 | − | 3159.56i | −0.000392594 | − | 0.00390070i | ||||
\(901\) | 388242. | + | 672455.i | 0.478248 | + | 0.828349i | ||||
\(902\) | 37391.8 | + | 48077.5i | 0.0459583 | + | 0.0590920i | ||||
\(903\) | 156474. | + | 429910.i | 0.191897 | + | 0.527233i | ||||
\(904\) | 392930. | + | 43928.6i | 0.480815 | + | 0.0537539i | ||||
\(905\) | 531399. | − | 920410.i | 0.648819 | − | 1.12379i | ||||
\(906\) | −21239.2 | − | 153581.i | −0.0258751 | − | 0.187103i | ||||
\(907\) | 597830. | + | 712466.i | 0.726713 | + | 0.866063i | 0.995265 | − | 0.0972025i | \(-0.0309895\pi\) |
−0.268552 | + | 0.963265i | \(0.586545\pi\) | |||||||
\(908\) | 100435. | − | 1.35065e6i | 0.121818 | − | 1.63822i | ||||
\(909\) | 493.107 | + | 2796.55i | 0.000596779 | + | 0.00338450i | ||||
\(910\) | −2875.39 | + | 77443.8i | −0.00347228 | + | 0.0935199i | ||||
\(911\) | 1.02940e6i | 1.24035i | 0.784462 | + | 0.620177i | \(0.212939\pi\) | ||||
−0.784462 | + | 0.620177i | \(0.787061\pi\) | |||||||
\(912\) | −679254. | + | 483692.i | −0.816663 | + | 0.581540i | ||||
\(913\) | −145025. | −0.173980 | ||||||||
\(914\) | −428364. | − | 15904.6i | −0.512767 | − | 0.0190384i | ||||
\(915\) | −802137. | + | 141438.i | −0.958090 | + | 0.168937i | ||||
\(916\) | −1.27202e6 | − | 94587.1i | −1.51601 | − | 0.112730i | ||||
\(917\) | 509059. | − | 427151.i | 0.605381 | − | 0.507975i | ||||
\(918\) | −1.20439e6 | + | 166559.i | −1.42917 | + | 0.197644i | ||||
\(919\) | −200820. | − | 115944.i | −0.237781 | − | 0.137283i | 0.376376 | − | 0.926467i | \(-0.377170\pi\) |
−0.614156 | + | 0.789184i | \(0.710504\pi\) | |||||||
\(920\) | −143502. | + | 1.28359e6i | −0.169544 | + | 1.51653i | ||||
\(921\) | −1.38051e6 | + | 502464.i | −1.62750 | + | 0.592360i | ||||
\(922\) | −654228. | + | 508819.i | −0.769604 | + | 0.598552i | ||||
\(923\) | 139596. | − | 80596.0i | 0.163859 | − | 0.0946042i | ||||
\(924\) | 52895.2 | − | 5323.76i | 0.0619545 | − | 0.00623555i | ||||
\(925\) | 173590. | − | 984480.i | 0.202881 | − | 1.15060i | ||||
\(926\) | −501262. | − | 314762.i | −0.584578 | − | 0.367080i | ||||
\(927\) | −2158.27 | + | 2572.13i | −0.00251157 | + | 0.00299318i | ||||
\(928\) | −21845.8 | + | 3604.13i | −0.0253672 | + | 0.00418508i | ||||
\(929\) | 39942.1 | + | 14537.7i | 0.0462806 | + | 0.0168448i | 0.365057 | − | 0.930985i | \(-0.381050\pi\) |
−0.318776 | + | 0.947830i | \(0.603272\pi\) | |||||||
\(930\) | 602922. | − | 194432.i | 0.697100 | − | 0.224803i | ||||
\(931\) | 631884. | + | 308740.i | 0.729017 | + | 0.356199i | ||||
\(932\) | −195786. | + | 140932.i | −0.225398 | + | 0.162247i | ||||
\(933\) | −778030. | − | 283180.i | −0.893785 | − | 0.325311i | ||||
\(934\) | 38727.1 | − | 20482.1i | 0.0443937 | − | 0.0234791i | ||||
\(935\) | −154420. | + | 184031.i | −0.176636 | + | 0.210507i | ||||
\(936\) | 46.0148 | + | 727.138i | 5.25225e−5 | + | 0.000829976i | ||||
\(937\) | −95286.6 | + | 540397.i | −0.108531 | + | 0.615508i | 0.881220 | + | 0.472706i | \(0.156723\pi\) |
−0.989751 | + | 0.142803i | \(0.954389\pi\) | |||||||
\(938\) | −41973.3 | + | 195350.i | −0.0477054 | + | 0.222028i | ||||
\(939\) | −1.12420e6 | + | 649055.i | −1.27500 | + | 0.736123i | ||||
\(940\) | −1.27154e6 | − | 865851.i | −1.43905 | − | 0.979912i | ||||
\(941\) | 332455. | − | 121004.i | 0.375452 | − | 0.136653i | −0.147400 | − | 0.989077i | \(-0.547090\pi\) |
0.522852 | + | 0.852424i | \(0.324868\pi\) | |||||||
\(942\) | −373618. | + | 413110.i | −0.421043 | + | 0.465547i | ||||
\(943\) | −463083. | − | 267361.i | −0.520757 | − | 0.300659i | ||||
\(944\) | 433556. | − | 798332.i | 0.486521 | − | 0.895859i | ||||
\(945\) | −393657. | + | 330317.i | −0.440813 | + | 0.369886i | ||||
\(946\) | −152770. | − | 62115.3i | −0.170709 | − | 0.0694091i | ||||
\(947\) | −930820. | + | 164129.i | −1.03792 | + | 0.183014i | −0.666543 | − | 0.745466i | \(-0.732227\pi\) |
−0.371381 | + | 0.928480i | \(0.621116\pi\) | |||||||
\(948\) | 78395.7 | − | 22105.9i | 0.0872319 | − | 0.0245975i | ||||
\(949\) | −215992. | −0.239831 | ||||||||
\(950\) | −256663. | − | 640619.i | −0.284391 | − | 0.709827i | ||||
\(951\) | 1.04234e6i | 1.15252i | ||||||||
\(952\) | −315249. | − | 474111.i | −0.347840 | − | 0.523126i | ||||
\(953\) | −159160. | − | 902641.i | −0.175246 | − | 0.993869i | −0.937860 | − | 0.347015i | \(-0.887195\pi\) |
0.762614 | − | 0.646854i | \(-0.223916\pi\) | |||||||
\(954\) | 2858.19 | + | 1162.12i | 0.00314047 | + | 0.00127689i | ||||
\(955\) | 843918. | + | 1.00574e6i | 0.925323 | + | 1.10276i | ||||
\(956\) | 679722. | − | 327820.i | 0.743730 | − | 0.358690i | ||||
\(957\) | −1687.99 | + | 2923.68i | −0.00184309 | + | 0.00319232i | ||||
\(958\) | −368816. | + | 407799.i | −0.401863 | + | 0.444340i | ||||
\(959\) | −108577. | − | 298312.i | −0.118059 | − | 0.324364i | ||||
\(960\) | −977116. | + | 742799.i | −1.06024 | + | 0.805989i | ||||
\(961\) | −322095. | − | 557885.i | −0.348769 | − | 0.604085i | ||||
\(962\) | −48182.0 | + | 224246.i | −0.0520637 | + | 0.242312i | ||||
\(963\) | −5401.32 | − | 952.398i | −0.00582435 | − | 0.00102699i | ||||
\(964\) | −291478. | + | 1.14747e6i | −0.313655 | + | 1.23478i | ||||
\(965\) | 1.31662e6 | + | 1.10477e6i | 1.41386 | + | 1.18637i | ||||
\(966\) | −412584. | + | 218209.i | −0.442139 | + | 0.233840i | ||||
\(967\) | −136790. | + | 375827.i | −0.146285 | + | 0.401916i | −0.991096 | − | 0.133150i | \(-0.957491\pi\) |
0.844811 | + | 0.535066i | \(0.179713\pi\) | |||||||
\(968\) | 544405. | − | 738980.i | 0.580994 | − | 0.788645i | ||||
\(969\) | 1.24435e6 | − | 552974.i | 1.32524 | − | 0.588921i | ||||
\(970\) | 505865. | − | 163133.i | 0.537639 | − | 0.173380i | ||||
\(971\) | 446685. | − | 1.22726e6i | 0.473765 | − | 1.30166i | −0.440940 | − | 0.897536i | \(-0.645355\pi\) |
0.914705 | − | 0.404122i | \(-0.132423\pi\) | |||||||
\(972\) | −6760.15 | + | 6938.84i | −0.00715523 | + | 0.00734436i | ||||
\(973\) | −369657. | − | 310179.i | −0.390457 | − | 0.327632i | ||||
\(974\) | −572526. | − | 359512.i | −0.603500 | − | 0.378962i | ||||
\(975\) | −116421. | − | 20528.1i | −0.122468 | − | 0.0215944i | ||||
\(976\) | 461031. | + | 521199.i | 0.483983 | + | 0.547147i | ||||
\(977\) | −310557. | − | 537901.i | −0.325352 | − | 0.563525i | 0.656232 | − | 0.754559i | \(-0.272149\pi\) |
−0.981583 | + | 0.191034i | \(0.938816\pi\) | |||||||
\(978\) | 998472. | − | 776552.i | 1.04390 | − | 0.811882i | ||||
\(979\) | 45692.9 | + | 125540.i | 0.0476742 | + | 0.130984i | ||||
\(980\) | 943808. | + | 425208.i | 0.982724 | + | 0.442740i | ||||
\(981\) | −3007.10 | + | 5208.45i | −0.00312471 | + | 0.00541216i | ||||
\(982\) | −40223.8 | + | 5562.66i | −0.0417119 | + | 0.00576845i | ||||
\(983\) | 1.11373e6 | + | 1.32729e6i | 1.15259 | + | 1.37360i | 0.915601 | + | 0.402087i | \(0.131715\pi\) |
0.236986 | + | 0.971513i | \(0.423840\pi\) | |||||||
\(984\) | −119667. | − | 493855.i | −0.123591 | − | 0.510046i | ||||
\(985\) | 16711.1 | + | 94773.3i | 0.0172239 | + | 0.0976818i | ||||
\(986\) | 36130.8 | + | 1341.49i | 0.0371641 | + | 0.00137986i | ||||
\(987\) | − | 555905.i | − | 0.570646i | ||||||
\(988\) | 53394.6 | + | 149067.i | 0.0546996 | + | 0.152710i | ||||
\(989\) | 1.44785e6 | 1.48024 | ||||||||
\(990\) | −35.4183 | + | 953.932i | −3.61375e−5 | + | 0.000973301i | ||||
\(991\) | 245854. | − | 43350.7i | 0.250340 | − | 0.0441417i | −0.0470698 | − | 0.998892i | \(-0.514988\pi\) |
0.297410 | + | 0.954750i | \(0.403877\pi\) | |||||||
\(992\) | −410724. | − | 352428.i | −0.417375 | − | 0.358135i | ||||
\(993\) | −961737. | + | 806993.i | −0.975344 | + | 0.818411i | ||||
\(994\) | 68565.8 | + | 495801.i | 0.0693960 | + | 0.501805i | ||||
\(995\) | −1.82951e6 | − | 1.05627e6i | −1.84794 | − | 1.06691i | ||||
\(996\) | 1.10316e6 | + | 497002.i | 1.11204 | + | 0.501002i | ||||
\(997\) | −1.23391e6 | + | 449107.i | −1.24135 | + | 0.451814i | −0.877469 | − | 0.479633i | \(-0.840770\pi\) |
−0.363878 | + | 0.931446i | \(0.618548\pi\) | |||||||
\(998\) | 863160. | + | 1.10983e6i | 0.866623 | + | 1.11428i | ||||
\(999\) | −1.31714e6 | + | 760453.i | −1.31978 | + | 0.761977i |
(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 | 76.5.l.a.23.2 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.8 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.8 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.2 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.2 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.8 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.2 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.8 | yes | 228 | 19.5 | even | 9 | inner |