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 | 23.8 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.8 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.15747 | − | 2.45569i | −0.789366 | − | 0.613922i | ||||
\(3\) | −8.88596 | + | 1.56683i | −0.987329 | + | 0.174093i | −0.643920 | − | 0.765093i | \(-0.722693\pi\) |
−0.343409 | + | 0.939186i | \(0.611582\pi\) | |||||||
\(4\) | 3.93918 | + | 15.5075i | 0.246199 | + | 0.969219i | ||||
\(5\) | −25.4406 | + | 21.3472i | −1.01762 | + | 0.853887i | −0.989327 | − | 0.145713i | \(-0.953452\pi\) |
−0.0282956 | + | 0.999600i | \(0.509008\pi\) | |||||||
\(6\) | 31.9048 | + | 16.8739i | 0.886244 | + | 0.468720i | ||||
\(7\) | 18.4296 | + | 10.6403i | 0.376114 | + | 0.217150i | 0.676126 | − | 0.736786i | \(-0.263657\pi\) |
−0.300012 | + | 0.953935i | \(0.596991\pi\) | |||||||
\(8\) | 25.6438 | − | 58.6378i | 0.400684 | − | 0.916216i | ||||
\(9\) | 0.390232 | − | 0.142033i | 0.00481768 | − | 0.00175349i | ||||
\(10\) | 132.750 | − | 4.92883i | 1.32750 | − | 0.0492883i | ||||
\(11\) | 14.9857 | − | 8.65201i | 0.123849 | − | 0.0715042i | −0.436796 | − | 0.899561i | \(-0.643887\pi\) |
0.560645 | + | 0.828057i | \(0.310553\pi\) | |||||||
\(12\) | −59.3011 | − | 131.627i | −0.411813 | − | 0.914077i | ||||
\(13\) | 4.76034 | − | 26.9972i | 0.0281677 | − | 0.159747i | −0.967479 | − | 0.252950i | \(-0.918599\pi\) |
0.995647 | + | 0.0932026i | \(0.0297104\pi\) | |||||||
\(14\) | −32.0615 | − | 78.8539i | −0.163579 | − | 0.402316i | ||||
\(15\) | 192.616 | − | 229.551i | 0.856073 | − | 1.02023i | ||||
\(16\) | −224.966 | + | 122.174i | −0.878772 | + | 0.477241i | ||||
\(17\) | −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 | ||||
\(22\) | −68.5635 | − | 9.48184i | −0.141660 | − | 0.0195906i | ||||
\(23\) | 390.606 | − | 465.506i | 0.738386 | − | 0.879974i | −0.257892 | − | 0.966174i | \(-0.583028\pi\) |
0.996278 | + | 0.0861998i | \(0.0274723\pi\) | |||||||
\(24\) | −135.994 | + | 561.233i | −0.236101 | + | 0.974363i | ||||
\(25\) | 82.9906 | − | 470.663i | 0.132785 | − | 0.753061i | ||||
\(26\) | −81.3274 | + | 73.5529i | −0.120307 | + | 0.108806i | ||||
\(27\) | 629.704 | − | 363.560i | 0.863791 | − | 0.498710i | ||||
\(28\) | −92.4076 | + | 327.711i | −0.117867 | + | 0.417999i | ||||
\(29\) | 20.3182 | − | 7.39523i | 0.0241596 | − | 0.00879338i | −0.329912 | − | 0.944012i | \(-0.607019\pi\) |
0.354072 | + | 0.935218i | \(0.384797\pi\) | |||||||
\(30\) | −1171.89 | + | 251.794i | −1.30210 | + | 0.279771i | ||||
\(31\) | −457.709 | − | 264.259i | −0.476284 | − | 0.274983i | 0.242582 | − | 0.970131i | \(-0.422006\pi\) |
−0.718867 | + | 0.695148i | \(0.755339\pi\) | |||||||
\(32\) | 1010.34 | + | 166.686i | 0.986662 | + | 0.162780i | ||||
\(33\) | −119.606 | + | 100.362i | −0.109831 | + | 0.0921594i | ||||
\(34\) | 889.232 | + | 1416.11i | 0.769232 | + | 1.22501i | ||||
\(35\) | −696.001 | + | 122.724i | −0.568164 | + | 0.100183i | ||||
\(36\) | 3.73977 | + | 5.49203i | 0.00288563 | + | 0.00423768i | ||||
\(37\) | 2091.69 | 1.52789 | 0.763947 | − | 0.645279i | \(-0.223259\pi\) | ||||
0.763947 | + | 0.645279i | \(0.223259\pi\) | |||||||
\(38\) | −1440.63 | − | 98.5630i | −0.997668 | − | 0.0682569i | ||||
\(39\) | 247.355i | 0.162627i | ||||||||
\(40\) | 599.359 | + | 2039.20i | 0.374599 | + | 1.27450i | ||||
\(41\) | 152.801 | + | 866.578i | 0.0908989 | + | 0.515514i | 0.995927 | + | 0.0901619i | \(0.0287385\pi\) |
−0.905028 | + | 0.425352i | \(0.860150\pi\) | |||||||
\(42\) | 408.448 | + | 650.457i | 0.231547 | + | 0.368740i | ||||
\(43\) | 1531.51 | + | 1825.19i | 0.828293 | + | 0.987121i | 0.999998 | + | 0.00197305i | \(0.000628041\pi\) |
−0.171705 | + | 0.985148i | \(0.554928\pi\) | |||||||
\(44\) | 193.203 | + | 198.309i | 0.0997947 | + | 0.102432i | ||||
\(45\) | −6.89572 | + | 11.9437i | −0.00340530 | + | 0.00589815i | ||||
\(46\) | −2376.46 | + | 510.613i | −1.12309 | + | 0.241310i | ||||
\(47\) | −990.180 | − | 2720.50i | −0.448248 | − | 1.23155i | −0.933943 | − | 0.357423i | \(-0.883656\pi\) |
0.485695 | − | 0.874129i | \(-0.338567\pi\) | |||||||
\(48\) | 1807.61 | − | 1438.12i | 0.784553 | − | 0.624182i | ||||
\(49\) | −974.066 | − | 1687.13i | −0.405692 | − | 0.702679i | ||||
\(50\) | −1417.84 | + | 1282.30i | −0.567137 | + | 0.512921i | ||||
\(51\) | 3714.67 | + | 654.997i | 1.42817 | + | 0.251825i | ||||
\(52\) | 437.412 | − | 32.5260i | 0.161765 | − | 0.0120288i | ||||
\(53\) | −1422.89 | − | 1193.94i | −0.506545 | − | 0.425042i | 0.353366 | − | 0.935485i | \(-0.385037\pi\) |
−0.859911 | + | 0.510443i | \(0.829481\pi\) | |||||||
\(54\) | −2881.06 | − | 398.430i | −0.988017 | − | 0.136636i | ||||
\(55\) | −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 | \(0.281363\pi\) |
−0.982790 | + | 0.184729i | \(0.940859\pi\) | |||||||
\(60\) | 4318.52 | + | 2082.76i | 1.19959 | + | 0.578543i | ||||
\(61\) | 2082.21 | + | 1747.18i | 0.559584 | + | 0.469547i | 0.878171 | − | 0.478347i | \(-0.158764\pi\) |
−0.318587 | + | 0.947894i | \(0.603208\pi\) | |||||||
\(62\) | 796.264 | + | 1958.38i | 0.207145 | + | 0.509464i | ||||
\(63\) | 8.70310 | + | 1.53459i | 0.00219277 | + | 0.000386644i | ||||
\(64\) | −2780.79 | − | 3007.39i | −0.678904 | − | 0.734227i | ||||
\(65\) | 455.209 | + | 788.445i | 0.107742 | + | 0.186614i | ||||
\(66\) | 624.109 | − | 23.1724i | 0.143276 | − | 0.00531965i | ||||
\(67\) | −802.822 | − | 2205.73i | −0.178842 | − | 0.491364i | 0.817586 | − | 0.575806i | \(-0.195312\pi\) |
−0.996428 | + | 0.0844415i | \(0.973089\pi\) | |||||||
\(68\) | 669.807 | − | 6655.00i | 0.144854 | − | 1.43923i | ||||
\(69\) | −2741.54 | + | 4748.49i | −0.575833 | + | 0.997371i | ||||
\(70\) | 2498.97 | + | 1321.67i | 0.509994 | + | 0.269728i | ||||
\(71\) | −3779.58 | − | 4504.33i | −0.749768 | − | 0.893538i | 0.247387 | − | 0.968917i | \(-0.420428\pi\) |
−0.997155 | + | 0.0753783i | \(0.975984\pi\) | |||||||
\(72\) | 1.67853 | − | 26.5246i | 0.000323791 | − | 0.00511663i | ||||
\(73\) | −1368.17 | − | 7759.27i | −0.256740 | − | 1.45605i | −0.791566 | − | 0.611084i | \(-0.790734\pi\) |
0.534826 | − | 0.844962i | \(-0.320377\pi\) | |||||||
\(74\) | −6604.43 | − | 5136.54i | −1.20607 | − | 0.938009i | ||||
\(75\) | 4312.32i | 0.766636i | ||||||||
\(76\) | 4306.71 | + | 3848.95i | 0.745621 | + | 0.666370i | ||||
\(77\) | 368.241 | 0.0621085 | ||||||||
\(78\) | 607.427 | − | 781.015i | 0.0998401 | − | 0.128372i | ||||
\(79\) | −555.628 | + | 97.9723i | −0.0890287 | + | 0.0156982i | −0.217985 | − | 0.975952i | \(-0.569948\pi\) |
0.128956 | + | 0.991650i | \(0.458837\pi\) | |||||||
\(80\) | 3115.19 | − | 7910.55i | 0.486748 | − | 1.23602i | ||||
\(81\) | −5051.65 | + | 4238.84i | −0.769952 | + | 0.646066i | ||||
\(82\) | 1645.58 | − | 3111.42i | 0.244733 | − | 0.462734i | ||||
\(83\) | −7258.15 | − | 4190.49i | −1.05358 | − | 0.608287i | −0.129934 | − | 0.991523i | \(-0.541477\pi\) |
−0.923651 | + | 0.383235i | \(0.874810\pi\) | |||||||
\(84\) | 307.660 | − | 3056.82i | 0.0436027 | − | 0.433223i | ||||
\(85\) | 13045.9 | − | 4748.33i | 1.80566 | − | 0.657208i | ||||
\(86\) | −353.610 | − | 9523.89i | −0.0478110 | − | 1.28771i | ||||
\(87\) | −168.960 | + | 97.5490i | −0.0223226 | + | 0.0128880i | ||||
\(88\) | −123.044 | − | 1100.60i | −0.0158890 | − | 0.142123i | ||||
\(89\) | 1340.66 | − | 7603.29i | 0.169254 | − | 0.959890i | −0.775314 | − | 0.631576i | \(-0.782408\pi\) |
0.944569 | − | 0.328314i | \(-0.106480\pi\) | |||||||
\(90\) | 51.1031 | − | 20.7782i | 0.00630903 | − | 0.00256521i | ||||
\(91\) | 374.991 | − | 446.897i | 0.0452833 | − | 0.0539665i | ||||
\(92\) | 8757.51 | + | 4223.61i | 1.03468 | + | 0.499009i | ||||
\(93\) | 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 | \(0.542910\pi\) | |||||||
\(98\) | −1067.49 | + | 7719.07i | −0.111151 | + | 0.803735i | ||||
\(99\) | 4.61904 | − | 5.50475i | 0.000471282 | − | 0.000561652i | ||||
\(100\) | 7625.72 | − | 567.049i | 0.762572 | − | 0.0567049i | ||||
\(101\) | −1187.42 | + | 6734.19i | −0.116402 | + | 0.660150i | 0.869644 | + | 0.493679i | \(0.164348\pi\) |
−0.986046 | + | 0.166471i | \(0.946763\pi\) | |||||||
\(102\) | −10120.5 | − | 11190.2i | −0.972750 | − | 1.07557i | ||||
\(103\) | 7002.15 | − | 4042.70i | 0.660020 | − | 0.381063i | −0.132265 | − | 0.991214i | \(-0.542225\pi\) |
0.792285 | + | 0.610152i | \(0.208892\pi\) | |||||||
\(104\) | −1460.99 | − | 971.448i | −0.135076 | − | 0.0898158i | ||||
\(105\) | 5992.35 | − | 2181.04i | 0.543523 | − | 0.197826i | ||||
\(106\) | 1560.76 | + | 7264.00i | 0.138907 | + | 0.646493i | ||||
\(107\) | 11437.8 | + | 6603.61i | 0.999020 | + | 0.576785i | 0.907958 | − | 0.419061i | \(-0.137641\pi\) |
0.0910620 | + | 0.995845i | \(0.470974\pi\) | |||||||
\(108\) | 8118.42 | + | 8333.01i | 0.696024 | + | 0.714421i | ||||
\(109\) | −11094.2 | + | 9309.11i | −0.933774 | + | 0.783529i | −0.976491 | − | 0.215558i | \(-0.930843\pi\) |
0.0427172 | + | 0.999087i | \(0.486399\pi\) | |||||||
\(110\) | 1946.71 | − | 1222.41i | 0.160885 | − | 0.101026i | ||||
\(111\) | −18586.7 | + | 3277.33i | −1.50853 | + | 0.265995i | ||||
\(112\) | −5446.00 | − | 142.097i | −0.434152 | − | 0.0113279i | ||||
\(113\) | −6177.78 | −0.483811 | −0.241905 | − | 0.970300i | \(-0.577772\pi\) | ||||
−0.241905 | + | 0.970300i | \(0.577772\pi\) | |||||||
\(114\) | 12955.8 | − | 1381.41i | 0.996909 | − | 0.106295i | ||||
\(115\) | 20181.1i | 1.52598i | ||||||||
\(116\) | 194.719 | + | 285.954i | 0.0144708 | + | 0.0212510i | ||||
\(117\) | −1.97686 | − | 11.2113i | −0.000144412 | − | 0.000819002i | ||||
\(118\) | 12021.2 | − | 7548.59i | 0.863344 | − | 0.542128i | ||||
\(119\) | −5718.33 | − | 6814.84i | −0.403808 | − | 0.481240i | ||||
\(120\) | −8520.97 | − | 17181.2i | −0.591734 | − | 1.19314i | ||||
\(121\) | −7170.79 | + | 12420.2i | −0.489774 | + | 0.848314i | ||||
\(122\) | −2283.98 | − | 10629.9i | −0.153452 | − | 0.714186i | ||||
\(123\) | −2715.57 | − | 7460.97i | −0.179494 | − | 0.493157i | ||||
\(124\) | 2294.99 | − | 8138.89i | 0.149258 | − | 0.529324i | ||||
\(125\) | −2442.22 | − | 4230.06i | −0.156302 | − | 0.270724i | ||||
\(126\) | −23.7113 | − | 26.2175i | −0.00149353 | − | 0.00165139i | ||||
\(127\) | 3158.11 | + | 556.860i | 0.195803 | + | 0.0345254i | 0.270690 | − | 0.962667i | \(-0.412748\pi\) |
−0.0748864 | + | 0.997192i | \(0.523859\pi\) | |||||||
\(128\) | 1395.03 | + | 16324.5i | 0.0851460 | + | 0.996368i | ||||
\(129\) | −16468.7 | − | 13818.9i | −0.989649 | − | 0.830414i | ||||
\(130\) | 498.869 | − | 3607.34i | 0.0295189 | − | 0.213452i | ||||
\(131\) | 10680.2 | − | 29343.7i | 0.622354 | − | 1.70990i | −0.0787968 | − | 0.996891i | \(-0.525108\pi\) |
0.701151 | − | 0.713013i | \(-0.252670\pi\) | |||||||
\(132\) | −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 | ||||
\(136\) | −18457.5 | + | 19368.1i | −0.997918 | + | 1.04715i | ||||
\(137\) | 11427.6 | + | 9588.86i | 0.608853 | + | 0.510888i | 0.894277 | − | 0.447513i | \(-0.147690\pi\) |
−0.285425 | + | 0.958401i | \(0.592135\pi\) | |||||||
\(138\) | 20317.1 | − | 8260.81i | 1.06685 | − | 0.433775i | ||||
\(139\) | −22331.1 | − | 3937.58i | −1.15580 | − | 0.203798i | −0.437291 | − | 0.899320i | \(-0.644062\pi\) |
−0.718505 | + | 0.695522i | \(0.755173\pi\) | |||||||
\(140\) | −4644.81 | − | 10309.8i | −0.236980 | − | 0.526010i | ||||
\(141\) | 13061.3 | + | 22622.8i | 0.656972 | + | 1.13791i | ||||
\(142\) | 872.665 | + | 23503.7i | 0.0432784 | + | 1.16563i | ||||
\(143\) | −162.243 | − | 445.759i | −0.00793404 | − | 0.0217986i | ||||
\(144\) | −70.4361 | + | 79.6286i | −0.00339680 | + | 0.00384012i | ||||
\(145\) | −359.040 | + | 621.875i | −0.0170768 | + | 0.0295779i | ||||
\(146\) | −14734.4 | + | 27859.4i | −0.691237 | + | 1.30697i | ||||
\(147\) | 11299.0 | + | 13465.6i | 0.522883 | + | 0.623147i | ||||
\(148\) | 8239.54 | + | 32436.9i | 0.376166 | + | 1.48087i | ||||
\(149\) | −6346.36 | − | 35992.0i | −0.285859 | − | 1.62119i | −0.702200 | − | 0.711980i | \(-0.747799\pi\) |
0.416341 | − | 0.909209i | \(-0.363312\pi\) | |||||||
\(150\) | 10589.7 | − | 13616.0i | 0.470655 | − | 0.605156i | ||||
\(151\) | − | 4295.75i | − | 0.188402i | −0.995553 | − | 0.0942009i | \(-0.969970\pi\) | ||
0.995553 | − | 0.0942009i | \(-0.0300296\pi\) | |||||||
\(152\) | −4146.44 | − | 22728.9i | −0.179469 | − | 0.983764i | ||||
\(153\) | −173.602 | −0.00741602 | ||||||||
\(154\) | −1162.71 | − | 904.286i | −0.0490263 | − | 0.0381298i | ||||
\(155\) | 17285.6 | − | 3047.91i | 0.719482 | − | 0.126864i | ||||
\(156\) | −3835.86 | + | 974.376i | −0.157621 | + | 0.0400385i | ||||
\(157\) | 11822.2 | − | 9919.98i | 0.479621 | − | 0.402449i | −0.370669 | − | 0.928765i | \(-0.620871\pi\) |
0.850289 | + | 0.526316i | \(0.176427\pi\) | |||||||
\(158\) | 1994.97 | + | 1055.11i | 0.0799137 | + | 0.0422651i | ||||
\(159\) | 14514.4 | + | 8379.90i | 0.574123 | + | 0.331470i | ||||
\(160\) | −29262.0 | + | 17327.4i | −1.14305 | + | 0.676850i | ||||
\(161\) | 12151.9 | − | 4422.91i | 0.468804 | − | 0.170631i | ||||
\(162\) | 26359.7 | − | 978.703i | 1.00441 | − | 0.0372925i | ||||
\(163\) | 30351.1 | − | 17523.2i | 1.14235 | − | 0.659537i | 0.195339 | − | 0.980736i | \(-0.437419\pi\) |
0.947012 | + | 0.321199i | \(0.104086\pi\) | |||||||
\(164\) | −12836.6 | + | 5783.17i | −0.477266 | + | 0.215020i | ||||
\(165\) | 900.415 | − | 5106.51i | 0.0330731 | − | 0.187567i | ||||
\(166\) | 12626.8 | + | 31055.1i | 0.458223 | + | 1.12698i | ||||
\(167\) | 33584.1 | − | 40024.0i | 1.20421 | − | 1.43512i | 0.333900 | − | 0.942608i | \(-0.391635\pi\) |
0.870307 | − | 0.492510i | \(-0.163920\pi\) | |||||||
\(168\) | −8478.02 | + | 8896.28i | −0.300384 | + | 0.315203i | ||||
\(169\) | 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 | \(0.748089\pi\) | |||||||
\(174\) | 773.035 | + | 106.905i | 0.0255329 | + | 0.00353102i | ||||
\(175\) | 6537.50 | − | 7791.08i | 0.213469 | − | 0.254403i | ||||
\(176\) | −2314.22 | + | 3777.27i | −0.0747102 | + | 0.121942i | ||||
\(177\) | 5560.20 | − | 31533.5i | 0.177478 | − | 1.00653i | ||||
\(178\) | −22904.4 | + | 20714.9i | −0.722901 | + | 0.653796i | ||||
\(179\) | 26478.3 | − | 15287.3i | 0.826389 | − | 0.477116i | −0.0262260 | − | 0.999656i | \(-0.508349\pi\) |
0.852615 | + | 0.522540i | \(0.175016\pi\) | |||||||
\(180\) | −212.381 | − | 59.8869i | −0.00655498 | − | 0.00184836i | ||||
\(181\) | −30072.1 | + | 10945.3i | −0.917924 | + | 0.334097i | −0.757412 | − | 0.652937i | \(-0.773537\pi\) |
−0.160511 | + | 0.987034i | \(0.551314\pi\) | |||||||
\(182\) | −2281.46 | + | 490.200i | −0.0688764 | + | 0.0147989i | ||||
\(183\) | −21240.0 | − | 12262.9i | −0.634239 | − | 0.366178i | ||||
\(184\) | −17279.7 | − | 34841.6i | −0.510387 | − | 1.02911i | ||||
\(185\) | −53213.7 | + | 44651.6i | −1.55482 | + | 1.30465i | ||||
\(186\) | −10144.0 | − | 16154.5i | −0.293214 | − | 0.466946i | ||||
\(187\) | −7123.85 | + | 1256.13i | −0.203719 | + | 0.0359212i | ||||
\(188\) | 38287.6 | − | 26071.8i | 1.08329 | − | 0.737657i | ||||
\(189\) | 15473.6 | 0.433179 | ||||||||
\(190\) | 38754.5 | − | 28245.9i | 1.07353 | − | 0.782435i | ||||
\(191\) | 39533.0i | 1.08366i | 0.840488 | + | 0.541830i | \(0.182268\pi\) | ||||
−0.840488 | + | 0.541830i | \(0.817732\pi\) | |||||||
\(192\) | 29422.1 | + | 22366.5i | 0.798125 | + | 0.606731i | ||||
\(193\) | −8986.77 | − | 50966.5i | −0.241262 | − | 1.36826i | −0.829016 | − | 0.559225i | \(-0.811099\pi\) |
0.587754 | − | 0.809040i | \(-0.300012\pi\) | |||||||
\(194\) | −8511.06 | − | 13554.0i | −0.226142 | − | 0.360133i | ||||
\(195\) | −5280.33 | − | 6292.85i | −0.138865 | − | 0.165492i | ||||
\(196\) | 22326.2 | − | 21751.3i | 0.581169 | − | 0.566203i | ||||
\(197\) | 1448.88 | − | 2509.53i | 0.0373336 | − | 0.0646636i | −0.846755 | − | 0.531983i | \(-0.821447\pi\) |
0.884088 | + | 0.467320i | \(0.154780\pi\) | |||||||
\(198\) | −28.1024 | + | 6.03815i | −0.000716825 | + | 0.000154019i | ||||
\(199\) | −21756.2 | − | 59774.5i | −0.549384 | − | 1.50942i | −0.834545 | − | 0.550940i | \(-0.814269\pi\) |
0.285161 | − | 0.958480i | \(-0.407953\pi\) | |||||||
\(200\) | −25470.5 | − | 16936.0i | −0.636762 | − | 0.423399i | ||||
\(201\) | 10589.9 | + | 18342.2i | 0.262119 | + | 0.454003i | ||||
\(202\) | 20286.3 | − | 18347.1i | 0.497165 | − | 0.449639i | ||||
\(203\) | 453.145 | + | 79.9016i | 0.0109963 | + | 0.00193894i | ||||
\(204\) | 4475.40 | + | 60185.5i | 0.107540 | + | 1.44621i | ||||
\(205\) | −22386.3 | − | 18784.4i | −0.532691 | − | 0.446981i | ||||
\(206\) | −32036.7 | − | 4430.44i | −0.754941 | − | 0.104403i | ||||
\(207\) | 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 | \(-0.712802\pi\) |
0.979238 | − | 0.202714i | \(-0.0649761\pi\) | |||||||
\(212\) | 12910.1 | − | 26768.6i | 0.287248 | − | 0.595598i | ||||
\(213\) | 40642.7 | + | 34103.3i | 0.895826 | + | 0.751687i | ||||
\(214\) | −19898.0 | − | 48938.3i | −0.434492 | − | 1.06862i | ||||
\(215\) | −77925.2 | − | 13740.3i | −1.68578 | − | 0.297248i | ||||
\(216\) | −5170.36 | − | 46247.5i | −0.110819 | − | 0.991245i | ||||
\(217\) | −5623.60 | − | 9740.36i | −0.119425 | − | 0.206850i | ||||
\(218\) | 57889.7 | − | 2149.38i | 1.21812 | − | 0.0452272i | ||||
\(219\) | 24315.0 | + | 66804.9i | 0.506974 | + | 1.39290i | ||||
\(220\) | −9148.52 | − | 920.774i | −0.189019 | − | 0.0190243i | ||||
\(221\) | −5729.99 | + | 9924.64i | −0.117319 | + | 0.203203i | ||||
\(222\) | 66734.8 | + | 35295.0i | 1.35409 | + | 0.716155i | ||||
\(223\) | −4071.73 | − | 4852.50i | −0.0818784 | − | 0.0975789i | 0.723550 | − | 0.690272i | \(-0.242509\pi\) |
−0.805428 | + | 0.592693i | \(0.798065\pi\) | |||||||
\(224\) | 16846.6 | + | 13822.3i | 0.335750 | + | 0.275477i | ||||
\(225\) | −34.4640 | − | 195.455i | −0.000680771 | − | 0.00386084i | ||||
\(226\) | 19506.1 | + | 15170.7i | 0.381904 | + | 0.297022i | ||||
\(227\) | 84648.8i | 1.64274i | 0.570396 | + | 0.821370i | \(0.306790\pi\) | ||||
−0.570396 | + | 0.821370i | \(0.693210\pi\) | |||||||
\(228\) | −44299.9 | − | 27453.8i | −0.852184 | − | 0.528119i | ||||
\(229\) | −79720.5 | −1.52019 | −0.760097 | − | 0.649810i | \(-0.774848\pi\) | ||||
−0.760097 | + | 0.649810i | \(0.774848\pi\) | |||||||
\(230\) | 49558.4 | − | 63721.0i | 0.936833 | − | 1.20456i | ||||
\(231\) | −3272.18 | + | 576.973i | −0.0613215 | + | 0.0108126i | ||||
\(232\) | 87.3962 | − | 1381.06i | 0.00162374 | − | 0.0256588i | ||||
\(233\) | −11549.8 | + | 9691.40i | −0.212746 | + | 0.178515i | −0.742933 | − | 0.669366i | \(-0.766566\pi\) |
0.530187 | + | 0.847881i | \(0.322122\pi\) | |||||||
\(234\) | −21.2896 | + | 40.2539i | −0.000388809 | + | 0.000735150i | ||||
\(235\) | 83265.6 | + | 48073.4i | 1.50775 | + | 0.870501i | ||||
\(236\) | −56493.5 | − | 5685.92i | −1.01432 | − | 0.102088i | ||||
\(237\) | 4783.78 | − | 1741.16i | 0.0851677 | − | 0.0309985i | ||||
\(238\) | 1320.30 | + | 35560.1i | 0.0233088 | + | 0.627782i | ||||
\(239\) | −40846.3 | + | 23582.6i | −0.715084 | + | 0.412854i | −0.812941 | − | 0.582347i | \(-0.802135\pi\) |
0.0978568 | + | 0.995201i | \(0.468801\pi\) | |||||||
\(240\) | −15286.9 | + | 75173.8i | −0.265398 | + | 1.30510i | ||||
\(241\) | −12849.0 | + | 72870.4i | −0.221226 | + | 1.25463i | 0.648544 | + | 0.761177i | \(0.275378\pi\) |
−0.869770 | + | 0.493458i | \(0.835733\pi\) | |||||||
\(242\) | 53141.6 | − | 21607.0i | 0.907410 | − | 0.368947i | ||||
\(243\) | 389.187 | − | 463.815i | 0.00659091 | − | 0.00785474i | ||||
\(244\) | −18892.3 | + | 39172.4i | −0.317325 | + | 0.657962i | ||||
\(245\) | 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 | ||||
\(250\) | −2676.46 | + | 19353.6i | −0.0428234 | + | 0.309658i | ||||
\(251\) | −15281.2 | + | 18211.4i | −0.242554 | + | 0.289065i | −0.873563 | − | 0.486710i | \(-0.838197\pi\) |
0.631009 | + | 0.775776i | \(0.282641\pi\) | |||||||
\(252\) | 10.4854 | + | 141.008i | 0.000165114 | + | 0.00222047i | ||||
\(253\) | 1825.95 | − | 10355.5i | 0.0285264 | − | 0.161781i | ||||
\(254\) | −8604.15 | − | 9513.60i | −0.133365 | − | 0.147461i | ||||
\(255\) | −108486. | + | 62634.3i | −1.66837 | + | 0.963234i | ||||
\(256\) | 35683.1 | − | 54969.8i | 0.544481 | − | 0.838773i | ||||
\(257\) | 82551.4 | − | 30046.3i | 1.24985 | − | 0.454909i | 0.369500 | − | 0.929231i | \(-0.379529\pi\) |
0.880351 | + | 0.474322i | \(0.157307\pi\) | |||||||
\(258\) | 18064.5 | + | 84074.9i | 0.271386 | + | 1.26307i | ||||
\(259\) | 38549.0 | + | 22256.3i | 0.574663 | + | 0.331782i | ||||
\(260\) | −10433.7 | + | 10165.0i | −0.154344 | + | 0.150370i | ||||
\(261\) | 6.87846 | − | 5.77171i | 0.000100974 | − | 8.47274e-5i | ||||
\(262\) | −105781. | + | 66424.3i | −1.54101 | + | 0.967664i | ||||
\(263\) | −80381.7 | + | 14173.5i | −1.16211 | + | 0.204911i | −0.721255 | − | 0.692669i | \(-0.756434\pi\) |
−0.440851 | + | 0.897580i | \(0.645323\pi\) | |||||||
\(264\) | 2817.83 | + | 9587.10i | 0.0404302 | + | 0.137556i | ||||
\(265\) | 61686.3 | 0.878409 | ||||||||
\(266\) | −25501.5 | − | 17145.3i | −0.360415 | − | 0.242316i | ||||
\(267\) | 69663.1i | 0.977193i | ||||||||
\(268\) | 31043.0 | − | 21138.6i | 0.432209 | − | 0.294310i | ||||
\(269\) | 5422.46 | + | 30752.3i | 0.0749362 | + | 0.424984i | 0.999078 | + | 0.0429345i | \(0.0136707\pi\) |
−0.924142 | + | 0.382050i | \(0.875218\pi\) | |||||||
\(270\) | 81801.1 | − | 51366.1i | 1.12210 | − | 0.704611i | ||||
\(271\) | −72941.3 | − | 86928.1i | −0.993197 | − | 1.18365i | −0.982983 | − | 0.183698i | \(-0.941193\pi\) |
−0.0102137 | − | 0.999948i | \(-0.503251\pi\) | |||||||
\(272\) | 105841. | − | 15828.2i | 1.43059 | − | 0.213941i | ||||
\(273\) | −2631.94 | + | 4558.66i | −0.0353143 | + | 0.0611662i | ||||
\(274\) | −12534.9 | − | 58339.0i | −0.166962 | − | 0.777066i | ||||
\(275\) | −2828.51 | − | 7771.26i | −0.0374017 | − | 0.102760i | ||||
\(276\) | −84436.6 | − | 23809.3i | −1.10844 | − | 0.312556i | ||||
\(277\) | −59088.1 | − | 102344.i | −0.770089 | − | 1.33383i | −0.937514 | − | 0.347948i | \(-0.886879\pi\) |
0.167425 | − | 0.985885i | \(-0.446455\pi\) | |||||||
\(278\) | 60840.3 | + | 67271.1i | 0.787230 | + | 0.870440i | ||||
\(279\) | −216.146 | − | 38.1124i | −0.00277677 | − | 0.000489619i | ||||
\(280\) | −10651.8 | + | 43959.1i | −0.135865 | + | 0.560702i | ||||
\(281\) | 82106.1 | + | 68895.2i | 1.03983 | + | 0.872521i | 0.991988 | − | 0.126333i | \(-0.0403209\pi\) |
0.0478427 | + | 0.998855i | \(0.484765\pi\) | |||||||
\(282\) | 14314.0 | − | 103505.i | 0.179996 | − | 1.30156i | ||||
\(283\) | −16456.4 | + | 45213.7i | −0.205477 | + | 0.564543i | −0.999034 | − | 0.0439532i | \(-0.986005\pi\) |
0.793557 | + | 0.608496i | \(0.208227\pi\) | |||||||
\(284\) | 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 | ||||
\(288\) | 417.943 | − | 78.4555i | 0.00503886 | − | 0.000945885i | ||||
\(289\) | 69890.3 | + | 58644.9i | 0.836799 | + | 0.702158i | ||||
\(290\) | 2660.79 | − | 1081.86i | 0.0316384 | − | 0.0128640i | ||||
\(291\) | −35554.1 | − | 6269.15i | −0.419859 | − | 0.0740325i | ||||
\(292\) | 114937. | − | 51782.1i | 1.34802 | − | 0.607314i | ||||
\(293\) | −57891.1 | − | 100270.i | −0.674336 | − | 1.16798i | −0.976662 | − | 0.214780i | \(-0.931096\pi\) |
0.302326 | − | 0.953205i | \(-0.402237\pi\) | |||||||
\(294\) | −2608.81 | − | 70263.9i | −0.0301820 | − | 0.812901i | ||||
\(295\) | −40308.1 | − | 110745.i | −0.463178 | − | 1.27257i | ||||
\(296\) | 53638.8 | − | 122652.i | 0.612203 | − | 1.39988i | ||||
\(297\) | 6291.04 | − | 10896.4i | 0.0713197 | − | 0.123529i | ||||
\(298\) | −68346.7 | + | 129228.i | −0.769636 | + | 1.45521i | ||||
\(299\) | −10708.0 | − | 12761.3i | −0.119775 | − | 0.142742i | ||||
\(300\) | −66873.4 | + | 16987.0i | −0.743038 | + | 0.188745i | ||||
\(301\) | 8804.59 | + | 49933.3i | 0.0971798 | + | 0.551134i | ||||
\(302\) | −10549.0 | + | 13563.7i | −0.115664 | + | 0.148718i | ||||
\(303\) | − | 61700.3i | − | 0.672050i | ||||||
\(304\) | −42722.8 | + | 81948.0i | −0.462288 | + | 0.886730i | ||||
\(305\) | −90270.1 | −0.970386 | ||||||||
\(306\) | 548.141 | + | 426.311i | 0.00585395 | + | 0.00455286i | ||||
\(307\) | 160344. | − | 28272.9i | 1.70128 | − | 0.299981i | 0.763137 | − | 0.646237i | \(-0.223658\pi\) |
0.938140 | + | 0.346256i | \(0.112547\pi\) | |||||||
\(308\) | 1450.57 | + | 5710.50i | 0.0152910 | + | 0.0601967i | ||||
\(309\) | −55886.6 | + | 46894.4i | −0.585317 | + | 0.491139i | ||||
\(310\) | −62063.3 | − | 32824.3i | −0.645820 | − | 0.341564i | ||||
\(311\) | 79467.2 | + | 45880.4i | 0.821613 | + | 0.474359i | 0.850972 | − | 0.525210i | \(-0.176013\pi\) |
−0.0293593 | + | 0.999569i | \(0.509347\pi\) | |||||||
\(312\) | 14504.4 | + | 6343.12i | 0.149001 | + | 0.0651619i | ||||
\(313\) | −135190. | + | 49205.1i | −1.37993 | + | 0.502252i | −0.922156 | − | 0.386819i | \(-0.873574\pi\) |
−0.457770 | + | 0.889071i | \(0.651352\pi\) | |||||||
\(314\) | −61688.5 | + | 2290.42i | −0.625669 | + | 0.0232303i | ||||
\(315\) | −254.171 | + | 146.746i | −0.00256156 | + | 0.00147892i | ||||
\(316\) | −3708.03 | − | 8230.48i | −0.0371337 | − | 0.0824235i | ||||
\(317\) | −20059.9 | + | 113765.i | −0.199623 | + | 1.13212i | 0.706057 | + | 0.708155i | \(0.250472\pi\) |
−0.905680 | + | 0.423962i | \(0.860639\pi\) | |||||||
\(318\) | −25250.3 | − | 62102.1i | −0.249697 | − | 0.614119i | ||||
\(319\) | 240.500 | − | 286.616i | 0.00236338 | − | 0.00281656i | ||||
\(320\) | 134944. | + | 17147.8i | 1.31781 | + | 0.167459i | ||||
\(321\) | −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 | ||||
\(326\) | −138864. | − | 19203.9i | −1.30664 | − | 0.180699i | ||||
\(327\) | 83996.5 | − | 100103.i | 0.785535 | − | 0.936165i | ||||
\(328\) | 54732.7 | + | 13262.4i | 0.508744 | + | 0.123275i | ||||
\(329\) | 10698.4 | − | 60673.5i | 0.0988385 | − | 0.560541i | ||||
\(330\) | −15383.0 | + | 13912.5i | −0.141258 | + | 0.127755i | ||||
\(331\) | 120498. | − | 69569.6i | 1.09983 | − | 0.634985i | 0.163651 | − | 0.986518i | \(-0.447673\pi\) |
0.936175 | + | 0.351534i | \(0.114340\pi\) | |||||||
\(332\) | 36393.0 | − | 129063.i | 0.330173 | − | 1.17091i | ||||
\(333\) | 816.244 | − | 297.088i | 0.00736091 | − | 0.00267915i | ||||
\(334\) | −204327. | + | 43902.3i | −1.83161 | + | 0.393545i | ||||
\(335\) | 67510.4 | + | 38977.2i | 0.601563 | + | 0.347313i | ||||
\(336\) | 48615.6 | − | 7270.32i | 0.430623 | − | 0.0643983i | ||||
\(337\) | 19857.8 | − | 16662.7i | 0.174852 | − | 0.146719i | −0.551162 | − | 0.834399i | \(-0.685815\pi\) |
0.726014 | + | 0.687680i | \(0.241371\pi\) | |||||||
\(338\) | −59155.0 | − | 94204.9i | −0.517795 | − | 0.824594i | ||||
\(339\) | 54895.5 | − | 9679.56i | 0.477680 | − | 0.0842279i | ||||
\(340\) | 125025. | + | 183605.i | 1.08153 | + | 1.58828i | ||||
\(341\) | −9145.47 | −0.0786497 | ||||||||
\(342\) | −576.180 | + | 166.155i | −0.00492613 | + | 0.00142056i | ||||
\(343\) | − | 92552.5i | − | 0.786683i | ||||||
\(344\) | 146299. | − | 42999.9i | 1.23630 | − | 0.363372i | ||||
\(345\) | −31620.4 | − | 179328.i | −0.265662 | − | 1.50664i | ||||
\(346\) | 53116.8 | + | 84589.0i | 0.443690 | + | 0.706581i | ||||
\(347\) | 82197.4 | + | 97959.1i | 0.682652 | + | 0.813553i | 0.990446 | − | 0.137900i | \(-0.0440353\pi\) |
−0.307794 | + | 0.951453i | \(0.599591\pi\) | |||||||
\(348\) | −2178.31 | − | 2235.88i | −0.0179871 | − | 0.0184625i | ||||
\(349\) | −68278.9 | + | 118263.i | −0.560577 | + | 0.970949i | 0.436869 | + | 0.899525i | \(0.356087\pi\) |
−0.997446 | + | 0.0714233i | \(0.977246\pi\) | |||||||
\(350\) | −39774.4 | + | 8546.02i | −0.324689 | + | 0.0697635i | ||||
\(351\) | −6817.50 | − | 18730.9i | −0.0553364 | − | 0.152036i | ||||
\(352\) | 16582.9 | − | 6243.58i | 0.133836 | − | 0.0503904i | ||||
\(353\) | −42410.5 | − | 73457.1i | −0.340348 | − | 0.589500i | 0.644149 | − | 0.764900i | \(-0.277212\pi\) |
−0.984497 | + | 0.175400i | \(0.943878\pi\) | |||||||
\(354\) | −94992.6 | + | 85911.7i | −0.758024 | + | 0.685561i | ||||
\(355\) | 192309. | + | 33909.3i | 1.52596 | + | 0.269068i | ||||
\(356\) | 123189. | − | 9160.35i | 0.972014 | − | 0.0722790i | ||||
\(357\) | 61490.6 | + | 51596.7i | 0.482472 | + | 0.404842i | ||||
\(358\) | −121145. | − | 16753.5i | −0.945235 | − | 0.130719i | ||||
\(359\) | −18207.8 | + | 50025.6i | −0.141276 | + | 0.388153i | −0.990071 | − | 0.140570i | \(-0.955107\pi\) |
0.848795 | + | 0.528723i | \(0.177329\pi\) | |||||||
\(360\) | 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 | ||||
\(364\) | 8407.41 | + | 4054.77i | 0.0634541 | + | 0.0306029i | ||||
\(365\) | 200445. | + | 168194.i | 1.50456 | + | 1.26248i | ||||
\(366\) | 36950.7 | + | 90878.7i | 0.275842 | + | 0.678422i | ||||
\(367\) | −38165.9 | − | 6729.68i | −0.283363 | − | 0.0499646i | 0.0301601 | − | 0.999545i | \(-0.490398\pi\) |
−0.313523 | + | 0.949580i | \(0.601509\pi\) | |||||||
\(368\) | −31000.3 | + | 152445.i | −0.228913 | + | 1.12568i | ||||
\(369\) | 182.710 | + | 316.464i | 0.00134187 | + | 0.00232419i | ||||
\(370\) | 277671. | − | 10309.6i | 2.02828 | − | 0.0753074i | ||||
\(371\) | −13519.3 | − | 37143.9i | −0.0982212 | − | 0.269860i | ||||
\(372\) | −7640.92 | + | 75917.8i | −0.0552153 | + | 0.548602i | ||||
\(373\) | 109489. | − | 189640.i | 0.786958 | − | 1.36305i | −0.140864 | − | 0.990029i | \(-0.544988\pi\) |
0.927822 | − | 0.373022i | \(-0.121679\pi\) | |||||||
\(374\) | 25578.0 | + | 13527.8i | 0.182862 | + | 0.0967127i | ||||
\(375\) | 28329.3 | + | 33761.6i | 0.201453 | + | 0.240082i | ||||
\(376\) | −184916. | − | 11701.9i | −1.30797 | − | 0.0827712i | ||||
\(377\) | −102.929 | − | 583.740i | −0.000724195 | − | 0.00410711i | ||||
\(378\) | −48857.3 | − | 37998.3i | −0.341937 | − | 0.265938i | ||||
\(379\) | − | 168171.i | − | 1.17077i | −0.810754 | − | 0.585387i | \(-0.800942\pi\) | ||
0.810754 | − | 0.585387i | \(-0.199058\pi\) | |||||||
\(380\) | −191729. | − | 5983.57i | −1.32777 | − | 0.0414375i | ||||
\(381\) | −28935.3 | −0.199333 | ||||||||
\(382\) | 97080.8 | − | 124824.i | 0.665284 | − | 0.855405i | ||||
\(383\) | −179019. | + | 31565.9i | −1.22040 | + | 0.215190i | −0.746498 | − | 0.665388i | \(-0.768266\pi\) |
−0.473903 | + | 0.880577i | \(0.657155\pi\) | |||||||
\(384\) | −37974.0 | − | 142873.i | −0.257528 | − | 0.968920i | ||||
\(385\) | −9368.26 | + | 7860.90i | −0.0632030 | + | 0.0530336i | ||||
\(386\) | −96782.5 | + | 182994.i | −0.649564 | + | 1.22818i | ||||
\(387\) | 856.883 | + | 494.721i | 0.00572136 | + | 0.00330323i | ||||
\(388\) | −6410.90 | + | 63696.7i | −0.0425849 | + | 0.423110i | ||||
\(389\) | 38572.8 | − | 14039.4i | 0.254907 | − | 0.0927787i | −0.211406 | − | 0.977398i | \(-0.567804\pi\) |
0.466313 | + | 0.884620i | \(0.345582\pi\) | |||||||
\(390\) | 1219.17 | + | 32836.3i | 0.00801560 | + | 0.215886i | ||||
\(391\) | −219998. | + | 127016.i | −1.43901 | + | 0.830815i | ||||
\(392\) | −123909. | + | 13852.7i | −0.806360 | + | 0.0901491i | ||||
\(393\) | −48927.3 | + | 277481.i | −0.316786 | + | 1.79658i | ||||
\(394\) | −10737.4 | + | 4365.76i | −0.0691683 | + | 0.0281234i | ||||
\(395\) | 12044.1 | − | 14353.6i | 0.0771932 | − | 0.0919952i | ||||
\(396\) | 103.560 | + | 49.9455i | 0.000660393 | + | 0.000318498i | ||||
\(397\) | −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 | \(0.660099\pi\) | |||||||
\(402\) | 11605.6 | − | 83920.2i | 0.0718149 | − | 0.519296i | ||||
\(403\) | −9313.10 | + | 11098.9i | −0.0573435 | + | 0.0683393i | ||||
\(404\) | −109108. | + | 8113.28i | −0.668489 | + | 0.0497088i | ||||
\(405\) | 38029.7 | − | 215677.i | 0.231853 | − | 1.31490i | ||||
\(406\) | −1234.58 | − | 1365.07i | −0.00748972 | − | 0.00828138i | ||||
\(407\) | 31345.4 | − | 18097.3i | 0.189228 | − | 0.109251i | ||||
\(408\) | 133666. | − | 201024.i | 0.802972 | − | 1.20761i | ||||
\(409\) | 29371.1 | − | 10690.2i | 0.175579 | − | 0.0639056i | −0.252735 | − | 0.967536i | \(-0.581330\pi\) |
0.428314 | + | 0.903630i | \(0.359108\pi\) | |||||||
\(410\) | 24555.5 | + | 114285.i | 0.146077 | + | 0.679862i | ||||
\(411\) | −116569. | − | 67301.1i | −0.690080 | − | 0.398418i | ||||
\(412\) | 90274.9 | + | 92661.1i | 0.531830 | + | 0.545887i | ||||
\(413\) | −57850.4 | + | 48542.3i | −0.339162 | + | 0.284590i | ||||
\(414\) | −854.849 | + | 536.793i | −0.00498756 | + | 0.00313189i | ||||
\(415\) | 274106. | − | 48332.4i | 1.59156 | − | 0.280635i | ||||
\(416\) | 9309.64 | − | 26483.0i | 0.0537956 | − | 0.153031i | ||||
\(417\) | 204603. | 1.17663 | ||||||||
\(418\) | −22441.7 | + | 10987.3i | −0.128441 | + | 0.0628839i | ||||
\(419\) | 19115.8i | 0.108884i | 0.998517 | + | 0.0544421i | \(0.0173380\pi\) | ||||
−0.998517 | + | 0.0544421i | \(0.982662\pi\) | |||||||
\(420\) | 57427.4 | + | 84334.9i | 0.325552 | + | 0.478089i | ||||
\(421\) | 17326.5 | + | 98263.5i | 0.0977568 | + | 0.554406i | 0.993868 | + | 0.110576i | \(0.0352696\pi\) |
−0.896111 | + | 0.443830i | \(0.853619\pi\) | |||||||
\(422\) | −158479. | + | 99515.3i | −0.889912 | + | 0.558811i | ||||
\(423\) | −772.800 | − | 920.987i | −0.00431903 | − | 0.00514722i | ||||
\(424\) | −106498. | + | 52817.7i | −0.592395 | + | 0.293797i | ||||
\(425\) | −99895.3 | + | 173024.i | −0.553053 | + | 0.957917i | ||||
\(426\) | −44580.9 | − | 207486.i | −0.245657 | − | 1.14332i | ||||
\(427\) | 19783.7 | + | 54355.4i | 0.108506 | + | 0.298117i | ||||
\(428\) | −57350.0 | + | 203384.i | −0.313073 | + | 1.11027i | ||||
\(429\) | 2140.12 | + | 3706.79i | 0.0116285 | + | 0.0201411i | ||||
\(430\) | 212304. | + | 234745.i | 1.14821 | + | 1.26958i | ||||
\(431\) | 200895. | + | 35423.3i | 1.08147 | + | 0.190693i | 0.685866 | − | 0.727728i | \(-0.259423\pi\) |
0.395606 | + | 0.918420i | \(0.370535\pi\) | |||||||
\(432\) | −97244.3 | + | 158722.i | −0.521071 | + | 0.850489i | ||||
\(433\) | −204129. | − | 171285.i | −1.08875 | − | 0.913572i | −0.0921344 | − | 0.995747i | \(-0.529369\pi\) |
−0.996618 | + | 0.0821749i | \(0.973813\pi\) | |||||||
\(434\) | −6162.97 | + | 44564.7i | −0.0327198 | + | 0.236598i | ||||
\(435\) | 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 | −0.803496 | − | 0.595311i | \(-0.797029\pi\) |
0.998172 | + | 0.0604425i | \(0.0192512\pi\) | |||||||
\(440\) | 26625.0 | + | 25373.2i | 0.137526 | + | 0.131060i | ||||
\(441\) | −619.740 | − | 520.024i | −0.00318664 | − | 0.00267391i | ||||
\(442\) | 42464.1 | − | 17265.6i | 0.217359 | − | 0.0883767i | ||||
\(443\) | 29637.0 | + | 5225.80i | 0.151017 | + | 0.0266284i | 0.248646 | − | 0.968595i | \(-0.420015\pi\) |
−0.0976284 | + | 0.995223i | \(0.531126\pi\) | |||||||
\(444\) | −124039. | − | 275323.i | −0.629207 | − | 1.39661i | ||||
\(445\) | 128201. | + | 222051.i | 0.647400 | + | 1.12133i | ||||
\(446\) | 940.120 | + | 25320.5i | 0.00472622 | + | 0.127293i | ||||
\(447\) | 112787. | + | 309880.i | 0.564474 | + | 1.55088i | ||||
\(448\) | −19249.2 | − | 85013.6i | −0.0959085 | − | 0.423577i | ||||
\(449\) | 6013.06 | − | 10414.9i | 0.0298266 | − | 0.0516611i | −0.850727 | − | 0.525608i | \(-0.823838\pi\) |
0.880553 | + | 0.473947i | \(0.157171\pi\) | |||||||
\(450\) | −371.158 | + | 701.776i | −0.00183288 | + | 0.00346556i | ||||
\(451\) | 9787.48 | + | 11664.3i | 0.0481191 | + | 0.0573461i | ||||
\(452\) | −24335.4 | − | 95801.9i | −0.119114 | − | 0.468919i | ||||
\(453\) | 6730.73 | + | 38171.9i | 0.0327994 | + | 0.186015i | ||||
\(454\) | 207871. | − | 267276.i | 1.00851 | − | 1.29672i | ||||
\(455\) | 19374.3i | 0.0935843i | ||||||||
\(456\) | 72457.5 | + | 195471.i | 0.348461 | + | 0.940054i | ||||
\(457\) | 107165. | 0.513120 | 0.256560 | − | 0.966528i | \(-0.417411\pi\) | ||||
0.256560 | + | 0.966528i | \(0.417411\pi\) | |||||||
\(458\) | 251715. | + | 195769.i | 1.19999 | + | 0.933281i | ||||
\(459\) | −299346. | + | 52782.8i | −1.42085 | + | 0.250534i | ||||
\(460\) | −312958. | + | 79496.9i | −1.47901 | + | 0.375694i | ||||
\(461\) | 158725. | − | 133186.i | 0.746866 | − | 0.626695i | −0.187806 | − | 0.982206i | \(-0.560138\pi\) |
0.934672 | + | 0.355511i | \(0.115693\pi\) | |||||||
\(462\) | 11748.6 | + | 6213.67i | 0.0550432 | + | 0.0291115i | ||||
\(463\) | −128149. | − | 73986.8i | −0.597796 | − | 0.345138i | 0.170378 | − | 0.985379i | \(-0.445501\pi\) |
−0.768174 | + | 0.640241i | \(0.778834\pi\) | |||||||
\(464\) | −3667.40 | + | 4146.03i | −0.0170342 | + | 0.0192573i | ||||
\(465\) | −148823. | + | 54167.2i | −0.688279 | + | 0.250513i | ||||
\(466\) | 60267.1 | − | 2237.64i | 0.277529 | − | 0.0103043i | ||||
\(467\) | 9485.12 | − | 5476.23i | 0.0434920 | − | 0.0251101i | −0.478096 | − | 0.878307i | \(-0.658673\pi\) |
0.521588 | + | 0.853197i | \(0.325340\pi\) | |||||||
\(468\) | 166.072 | − | 74.8195i | 0.000758238 | − | 0.000341604i | ||||
\(469\) | 8674.07 | − | 49193.1i | 0.0394346 | − | 0.223645i | ||||
\(470\) | −144855. | − | 356265.i | −0.655749 | − | 1.61279i | ||||
\(471\) | −89508.4 | + | 106672.i | −0.403480 | + | 0.480849i | ||||
\(472\) | 164414. | + | 156684.i | 0.737995 | + | 0.703299i | ||||
\(473\) | 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 | ||||
\(478\) | 186882. | + | 25844.5i | 0.817923 | + | 0.113113i | ||||
\(479\) | −88357.8 | + | 105301.i | −0.385100 | + | 0.458945i | −0.923417 | − | 0.383798i | \(-0.874616\pi\) |
0.538317 | + | 0.842743i | \(0.319060\pi\) | |||||||
\(480\) | 232872. | − | 199819.i | 1.01073 | − | 0.867269i | ||||
\(481\) | 9957.15 | − | 56469.8i | 0.0430373 | − | 0.244077i | ||||
\(482\) | 219518. | − | 198533.i | 0.944877 | − | 0.854551i | ||||
\(483\) | −101051. | + | 58341.8i | −0.433158 | + | 0.250084i | ||||
\(484\) | −220853. | − | 62275.7i | −0.942784 | − | 0.265845i | ||||
\(485\) | −124866. | + | 45447.5i | −0.530836 | + | 0.193209i | ||||
\(486\) | −2367.83 | + | 508.757i | −0.0100248 | + | 0.00215396i | ||||
\(487\) | −146368. | − | 84505.5i | −0.617145 | − | 0.356309i | 0.158611 | − | 0.987341i | \(-0.449298\pi\) |
−0.775757 | + | 0.631032i | \(0.782632\pi\) | |||||||
\(488\) | 155847. | − | 77292.1i | 0.654423 | − | 0.324560i | ||||
\(489\) | −242243. | + | 203266.i | −1.01306 | + | 0.850055i | ||||
\(490\) | −137623. | − | 219165.i | −0.573189 | − | 0.912809i | ||||
\(491\) | −9997.42 | + | 1762.81i | −0.0414691 | + | 0.00731213i | −0.194344 | − | 0.980933i | \(-0.562258\pi\) |
0.152875 | + | 0.988246i | \(0.451147\pi\) | |||||||
\(492\) | 105004. | − | 71501.8i | 0.433786 | − | 0.295384i | ||||
\(493\) | −9038.92 | −0.0371897 | ||||||||
\(494\) | −9518.83 | + | 38423.9i | −0.0390058 | + | 0.157452i | ||||
\(495\) | 238.647i | 0.000973972i | ||||||||
\(496\) | 135254. | + | 3529.05i | 0.549779 | + | 0.0143448i | ||||
\(497\) | −21728.6 | − | 123229.i | −0.0879668 | − | 0.498884i | ||||
\(498\) | −160859. | − | 256170.i | −0.648616 | − | 1.03293i | ||||
\(499\) | 225936. | + | 269260.i | 0.907370 | + | 1.08136i | 0.996353 | + | 0.0853283i | \(0.0271939\pi\) |
−0.0889829 | + | 0.996033i | \(0.528362\pi\) | |||||||
\(500\) | 55977.3 | − | 54535.8i | 0.223909 | − | 0.218143i | ||||
\(501\) | −235716. | + | 408273.i | −0.939105 | + | 1.62658i | ||||
\(502\) | 92971.3 | − | 19976.0i | 0.368928 | − | 0.0792687i | ||||
\(503\) | −25097.5 | − | 68954.8i | −0.0991961 | − | 0.272539i | 0.880162 | − | 0.474674i | \(-0.157434\pi\) |
−0.979358 | + | 0.202135i | \(0.935212\pi\) | |||||||
\(504\) | 313.166 | − | 470.978i | 0.00123286 | − | 0.00185413i | ||||
\(505\) | −113547. | − | 196670.i | −0.445240 | − | 0.771178i | ||||
\(506\) | −31195.2 | + | 28213.1i | −0.121839 | + | 0.110192i | ||||
\(507\) | −247114. | − | 43572.9i | −0.961350 | − | 0.169512i | ||||
\(508\) | 3804.85 | + | 51168.0i | 0.0147438 | + | 0.198276i | ||||
\(509\) | 358198. | + | 300563.i | 1.38257 | + | 1.16011i | 0.968251 | + | 0.249982i | \(0.0804247\pi\) |
0.414319 | + | 0.910132i | \(0.364020\pi\) | |||||||
\(510\) | 496350. | + | 68641.7i | 1.90831 | + | 0.263905i | ||||
\(511\) | 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 | ||||
\(516\) | 149424. | − | 309824.i | 0.561203 | − | 1.16363i | ||||
\(517\) | −38376.3 | − | 32201.5i | −0.143576 | − | 0.120475i | ||||
\(518\) | −67062.6 | − | 164938.i | −0.249932 | − | 0.614696i | ||||
\(519\) | 221890. | + | 39125.2i | 0.823765 | + | 0.145252i | ||||
\(520\) | 57906.0 | − | 6473.74i | 0.214149 | − | 0.0239414i | ||||
\(521\) | 82884.1 | + | 143559.i | 0.305348 | + | 0.528879i | 0.977339 | − | 0.211681i | \(-0.0678937\pi\) |
−0.671990 | + | 0.740560i | \(0.734560\pi\) | |||||||
\(522\) | −35.8920 | + | 1.33263i | −0.000131722 | + | 4.89066e-6i | ||||
\(523\) | −98749.6 | − | 271312.i | −0.361020 | − | 0.991896i | −0.978669 | − | 0.205442i | \(-0.934137\pi\) |
0.617649 | − | 0.786454i | \(-0.288085\pi\) | |||||||
\(524\) | 497118. | + | 50033.6i | 1.81049 | + | 0.182221i | ||||
\(525\) | −45884.6 | + | 79474.4i | −0.166475 | + | 0.288343i | ||||
\(526\) | 288608. | + | 152640.i | 1.04313 | + | 0.551693i | ||||
\(527\) | 142018. | + | 169250.i | 0.511354 | + | 0.609408i | ||||
\(528\) | 14645.8 | − | 37190.6i | 0.0525344 | − | 0.133403i | ||||
\(529\) | −15529.0 | − | 88069.5i | −0.0554923 | − | 0.314713i | ||||
\(530\) | −194772. | − | 151482.i | −0.693387 | − | 0.539275i | ||||
\(531\) | 1473.68i | 0.00522655i | ||||||||
\(532\) | 38416.7 | + | 116760.i | 0.135737 | + | 0.412543i | ||||
\(533\) | 24122.6 | 0.0849121 | ||||||||
\(534\) | 171071. | − | 219959.i | 0.599920 | − | 0.771363i | ||||
\(535\) | −431952. | + | 76164.8i | −1.50913 | + | 0.266101i | ||||
\(536\) | −149927. | − | 9487.68i | −0.521855 | − | 0.0330240i | ||||
\(537\) | −211333. | + | 177329.i | −0.732855 | + | 0.614938i | ||||
\(538\) | 58396.9 | − | 110415.i | 0.201755 | − | 0.381473i | ||||
\(539\) | −29194.2 | − | 16855.3i | −0.100489 | − | 0.0580174i | ||||
\(540\) | −384423. | − | 38691.2i | −1.31832 | − | 0.132686i | ||||
\(541\) | 17855.7 | − | 6498.95i | 0.0610075 | − | 0.0222049i | −0.311336 | − | 0.950300i | \(-0.600777\pi\) |
0.372344 | + | 0.928095i | \(0.378554\pi\) | |||||||
\(542\) | 16841.4 | + | 453594.i | 0.0573296 | + | 1.54408i | ||||
\(543\) | 250070. | − | 144378.i | 0.848129 | − | 0.489667i | ||||
\(544\) | −373058. | − | 209935.i | −1.26060 | − | 0.709395i | ||||
\(545\) | 83518.7 | − | 473658.i | 0.281184 | − | 1.59467i | ||||
\(546\) | 19504.9 | − | 7930.57i | 0.0654272 | − | 0.0266023i | ||||
\(547\) | −265740. | + | 316697.i | −0.888142 | + | 1.05845i | 0.109776 | + | 0.993956i | \(0.464987\pi\) |
−0.997918 | + | 0.0644902i | \(0.979458\pi\) | |||||||
\(548\) | −103684. | + | 214985.i | −0.345264 | + | 0.715892i | ||||
\(549\) | 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 | ||||
\(554\) | −64755.4 | + | 468249.i | −0.210987 | + | 1.52566i | ||||
\(555\) | 402893. | − | 480150.i | 1.30799 | − | 1.55880i | ||||
\(556\) | −26904.3 | − | 361811.i | −0.0870306 | − | 1.17039i | ||||
\(557\) | 24189.5 | − | 137185.i | 0.0779679 | − | 0.442178i | −0.920686 | − | 0.390305i | \(-0.872370\pi\) |
0.998654 | − | 0.0518732i | \(-0.0165192\pi\) | |||||||
\(558\) | 588.882 | + | 651.127i | 0.00189130 | + | 0.00209121i | ||||
\(559\) | 56565.5 | − | 32658.1i | 0.181021 | − | 0.104512i | ||||
\(560\) | 141583. | − | 112642.i | 0.451475 | − | 0.359189i | ||||
\(561\) | 61334.1 | − | 22323.8i | 0.194884 | − | 0.0709320i | ||||
\(562\) | −90062.0 | − | 419161.i | −0.285147 | − | 1.32711i | ||||
\(563\) | −30816.9 | − | 17792.1i | −0.0972236 | − | 0.0561321i | 0.450600 | − | 0.892726i | \(-0.351210\pi\) |
−0.547823 | + | 0.836594i | \(0.684543\pi\) | |||||||
\(564\) | −299372. | + | 291663.i | −0.941138 | + | 0.916902i | ||||
\(565\) | 157166. | − | 131878.i | 0.492337 | − | 0.413119i | ||||
\(566\) | 162991. | − | 102349.i | 0.508782 | − | 0.319485i | ||||
\(567\) | −138203. | + | 24368.9i | −0.429883 | + | 0.0758000i | ||||
\(568\) | −361047. | + | 106118.i | −1.11909 | + | 0.328923i | ||||
\(569\) | 401249. | 1.23934 | 0.619668 | − | 0.784864i | \(-0.287267\pi\) | ||||
0.619668 | + | 0.784864i | \(0.287267\pi\) | |||||||
\(570\) | −300115. | + | 311714.i | −0.923714 | + | 0.959415i | ||||
\(571\) | 36662.8i | 0.112448i | 0.998418 | + | 0.0562242i | \(0.0179061\pi\) | ||||
−0.998418 | + | 0.0562242i | \(0.982094\pi\) | |||||||
\(572\) | 6273.51 | − | 4271.91i | 0.0191743 | − | 0.0130566i | ||||
\(573\) | −61941.7 | − | 351289.i | −0.188657 | − | 1.06993i | ||||
\(574\) | 63434.0 | − | 39832.7i | 0.192530 | − | 0.120897i | ||||
\(575\) | −186680. | − | 222476.i | −0.564627 | − | 0.672897i | ||||
\(576\) | −1512.30 | − | 778.618i | −0.00455820 | − | 0.00234682i | ||||
\(577\) | −278694. | + | 482712.i | −0.837097 | + | 1.44989i | 0.0552148 | + | 0.998475i | \(0.482416\pi\) |
−0.892312 | + | 0.451420i | \(0.850918\pi\) | |||||||
\(578\) | −76662.5 | − | 356798.i | −0.229471 | − | 1.06799i | ||||
\(579\) | 159712. | + | 438806.i | 0.476410 | + | 1.30893i | ||||
\(580\) | −11058.1 | − | 3118.14i | −0.0328718 | − | 0.00926913i | ||||
\(581\) | −89176.5 | − | 154458.i | −0.264179 | − | 0.457571i | ||||
\(582\) | 96865.8 | + | 107104.i | 0.285973 | + | 0.316200i | ||||
\(583\) | −31653.0 | − | 5581.27i | −0.0931273 | − | 0.0164209i | ||||
\(584\) | −490072. | − | 118751.i | −1.43692 | − | 0.348185i | ||||
\(585\) | 289.622 | + | 243.022i | 0.000846291 | + | 0.000710123i | ||||
\(586\) | −63443.6 | + | 458763.i | −0.184753 | + | 1.33596i | ||||
\(587\) | 86520.6 | − | 237713.i | 0.251098 | − | 0.689886i | −0.748543 | − | 0.663087i | \(-0.769246\pi\) |
0.999641 | − | 0.0267998i | \(-0.00853165\pi\) | |||||||
\(588\) | −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 | ||||
\(592\) | −470558. | + | 255549.i | −1.34267 | + | 0.729175i | ||||
\(593\) | 396046. | + | 332322.i | 1.12625 | + | 0.945038i | 0.998903 | − | 0.0468199i | \(-0.0149087\pi\) |
0.127349 | + | 0.991858i | \(0.459353\pi\) | |||||||
\(594\) | −46621.9 | + | 18956.2i | −0.132135 | + | 0.0537252i | ||||
\(595\) | 290955. | + | 51303.2i | 0.821849 | + | 0.144914i | ||||
\(596\) | 533147. | − | 240195.i | 1.50091 | − | 0.676195i | ||||
\(597\) | 286981. | + | 497066.i | 0.805202 | + | 1.39465i | ||||
\(598\) | 2472.35 | + | 66588.6i | 0.00691367 | + | 0.186208i | ||||
\(599\) | 69657.3 | + | 191382.i | 0.194139 | + | 0.533392i | 0.998122 | − | 0.0612600i | \(-0.0195119\pi\) |
−0.803983 | + | 0.594652i | \(0.797290\pi\) | |||||||
\(600\) | 252865. | + | 110584.i | 0.702404 | + | 0.307179i | ||||
\(601\) | 196328. | − | 340049.i | 0.543541 | − | 0.941440i | −0.455156 | − | 0.890412i | \(-0.650417\pi\) |
0.998697 | − | 0.0510288i | \(-0.0162500\pi\) | |||||||
\(602\) | 94820.5 | − | 179284.i | 0.261643 | − | 0.494708i | ||||
\(603\) | −626.574 | − | 746.721i | −0.00172321 | − | 0.00205364i | ||||
\(604\) | 66616.4 | − | 16921.7i | 0.182603 | − | 0.0463843i | ||||
\(605\) | −82706.5 | − | 469052.i | −0.225959 | − | 1.28148i | ||||
\(606\) | −151517. | + | 194816.i | −0.412587 | + | 0.530494i | ||||
\(607\) | − | 257203.i | − | 0.698069i | −0.937110 | − | 0.349035i | \(-0.886510\pi\) | ||
0.937110 | − | 0.349035i | \(-0.113490\pi\) | |||||||
\(608\) | 336135. | − | 153834.i | 0.909298 | − | 0.416146i | ||||
\(609\) | −4151.82 | −0.0111945 | ||||||||
\(610\) | 285025. | + | 221675.i | 0.765990 | + | 0.595741i | ||||
\(611\) | −78159.5 | + | 13781.6i | −0.209363 | + | 0.0369163i | ||||
\(612\) | −683.848 | − | 2692.13i | −0.00182581 | − | 0.00718775i | ||||
\(613\) | −345572. | + | 289969.i | −0.919638 | + | 0.771668i | −0.973928 | − | 0.226857i | \(-0.927155\pi\) |
0.0542897 | + | 0.998525i | \(0.482711\pi\) | |||||||
\(614\) | −575709. | − | 304483.i | −1.52710 | − | 0.807657i | ||||
\(615\) | 228356. | + | 131841.i | 0.603757 | + | 0.348579i | ||||
\(616\) | 9443.10 | − | 21592.9i | 0.0248859 | − | 0.0569048i | ||||
\(617\) | 47785.5 | − | 17392.5i | 0.125524 | − | 0.0456869i | −0.278495 | − | 0.960438i | \(-0.589835\pi\) |
0.404018 | + | 0.914751i | \(0.367613\pi\) | |||||||
\(618\) | 291618. | − | 10827.4i | 0.763551 | − | 0.0283497i | ||||
\(619\) | −366958. | + | 211863.i | −0.957712 | + | 0.552935i | −0.895468 | − | 0.445126i | \(-0.853159\pi\) |
−0.0622439 | + | 0.998061i | \(0.519826\pi\) | |||||||
\(620\) | 115356. | + | 256050.i | 0.300095 | + | 0.666102i | ||||
\(621\) | 76726.9 | − | 435140.i | 0.198959 | − | 1.12835i | ||||
\(622\) | −138247. | − | 340013.i | −0.357335 | − | 0.878849i | ||||
\(623\) | 105609. | − | 125860.i | 0.272099 | − | 0.324275i | ||||
\(624\) | −30220.3 | − | 55646.4i | −0.0776121 | − | 0.142912i | ||||
\(625\) | 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 | ||||
\(630\) | 1162.90 | + | 160.820i | 0.00292995 | + | 0.000405191i | ||||
\(631\) | 274688. | − | 327360.i | 0.689892 | − | 0.822181i | −0.301451 | − | 0.953482i | \(-0.597471\pi\) |
0.991343 | + | 0.131301i | \(0.0419153\pi\) | |||||||
\(632\) | −8503.54 | + | 35093.2i | −0.0212895 | + | 0.0878596i | ||||
\(633\) | −73301.8 | + | 415715.i | −0.182939 | + | 1.03750i | ||||
\(634\) | 342711. | − | 309949.i | 0.852607 | − | 0.771102i | ||||
\(635\) | −92231.4 | + | 53249.9i | −0.228734 | + | 0.132060i | ||||
\(636\) | −72776.5 | + | 258092.i | −0.179919 | + | 0.638059i | ||||
\(637\) | −50184.8 | + | 18265.8i | −0.123678 | + | 0.0450152i | ||||
\(638\) | −1463.21 | + | 314.389i | −0.00359472 | + | 0.000772371i | ||||
\(639\) | −2114.68 | − | 1220.91i | −0.00517895 | − | 0.00299007i | ||||
\(640\) | −383972. | − | 385525.i | −0.937432 | − | 0.941222i | ||||
\(641\) | −168552. | + | 141432.i | −0.410221 | + | 0.344216i | −0.824428 | − | 0.565966i | \(-0.808503\pi\) |
0.414207 | + | 0.910182i | \(0.364059\pi\) | |||||||
\(642\) | 253491. | + | 403687.i | 0.615025 | + | 0.979433i | ||||
\(643\) | −424317. | + | 74818.5i | −1.02629 | + | 0.180962i | −0.661355 | − | 0.750073i | \(-0.730018\pi\) |
−0.364930 | + | 0.931035i | \(0.618907\pi\) | |||||||
\(644\) | 116457. | + | 171022.i | 0.280797 | + | 0.412364i | ||||
\(645\) | 713969. | 1.71617 | ||||||||
\(646\) | 551828. | + | 244696.i | 1.32233 | + | 0.586358i | ||||
\(647\) | − | 234925.i | − | 0.561205i | −0.959824 | − | 0.280602i | \(-0.909466\pi\) | ||
0.959824 | − | 0.280602i | \(-0.0905342\pi\) | |||||||
\(648\) | 119013. | + | 404918.i | 0.283429 | + | 0.964311i | ||||
\(649\) | 10663.1 | + | 60473.6i | 0.0253160 | + | 0.143574i | ||||
\(650\) | 27869.2 | + | 44382.0i | 0.0659627 | + | 0.105046i | ||||
\(651\) | 65232.6 | + | 77741.2i | 0.153923 | + | 0.183438i | ||||
\(652\) | 391300. | + | 401643.i | 0.920481 | + | 0.944811i | ||||
\(653\) | −295127. | + | 511175.i | −0.692122 | + | 1.19879i | 0.279019 | + | 0.960286i | \(0.409991\pi\) |
−0.971141 | + | 0.238505i | \(0.923343\pi\) | |||||||
\(654\) | −511038. | + | 109803.i | −1.19481 | + | 0.256719i | ||||
\(655\) | 354693. | + | 974511.i | 0.826742 | + | 2.27146i | ||||
\(656\) | −140248. | − | 176282.i | −0.325904 | − | 0.409638i | ||||
\(657\) | −1635.97 | − | 2833.59i | −0.00379006 | − | 0.00656457i | ||||
\(658\) | −182775. | + | 165303.i | −0.422148 | + | 0.381793i | ||||
\(659\) | −71047.9 | − | 12527.7i | −0.163599 | − | 0.0288469i | 0.0912487 | − | 0.995828i | \(-0.470914\pi\) |
−0.254848 | + | 0.966981i | \(0.582025\pi\) | |||||||
\(660\) | 82736.1 | − | 6152.26i | 0.189936 | − | 0.0141237i | ||||
\(661\) | 116248. | + | 97543.8i | 0.266062 | + | 0.223253i | 0.766052 | − | 0.642779i | \(-0.222218\pi\) |
−0.499990 | + | 0.866031i | \(0.666663\pi\) | |||||||
\(662\) | −551310. | − | 76242.2i | −1.25800 | − | 0.173972i | ||||
\(663\) | 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 | ||||
\(668\) | 752967. | + | 363144.i | 1.68742 | + | 0.813817i | ||||
\(669\) | 43784.3 | + | 36739.4i | 0.0978287 | + | 0.0820881i | ||||
\(670\) | −117446. | − | 288854.i | −0.261631 | − | 0.643470i | ||||
\(671\) | 46320.1 | + | 8167.49i | 0.102879 | + | 0.0181403i | ||||
\(672\) | −171356. | − | 96429.0i | −0.379455 | − | 0.213535i | ||||
\(673\) | 189772. | + | 328695.i | 0.418989 | + | 0.725710i | 0.995838 | − | 0.0911410i | \(-0.0290514\pi\) |
−0.576849 | + | 0.816851i | \(0.695718\pi\) | |||||||
\(674\) | −103619. | + | 3847.24i | −0.228096 | + | 0.00846894i | ||||
\(675\) | −118855. | − | 326550.i | −0.260861 | − | 0.716708i | ||||
\(676\) | −44558.1 | + | 442715.i | −0.0975064 | + | 0.968793i | ||||
\(677\) | 50313.8 | − | 87146.0i | 0.109777 | − | 0.190139i | −0.805903 | − | 0.592047i | \(-0.798320\pi\) |
0.915680 | + | 0.401909i | \(0.131653\pi\) | |||||||
\(678\) | −197101. | − | 104243.i | −0.428774 | − | 0.226772i | ||||
\(679\) | 54731.6 | + | 65226.6i | 0.118713 | + | 0.141477i | ||||
\(680\) | 56115.3 | − | 886750.i | 0.121357 | − | 1.91771i | ||||
\(681\) | −132631. | − | 752186.i | −0.285989 | − | 1.62193i | ||||
\(682\) | 28876.5 | + | 22458.4i | 0.0620835 | + | 0.0482848i | ||||
\(683\) | − | 817576.i | − | 1.75262i | −0.481751 | − | 0.876308i | \(-0.659999\pi\) | ||
0.481751 | − | 0.876308i | \(-0.340001\pi\) | |||||||
\(684\) | 2227.29 | + | 890.292i | 0.00476064 | + | 0.00190292i | ||||
\(685\) | −495418. | −1.05582 | ||||||||
\(686\) | −227280. | + | 292231.i | −0.482962 | + | 0.620981i | ||||
\(687\) | 708393. | − | 124909.i | 1.50093 | − | 0.264655i | ||||
\(688\) | −567528. | − | 223494.i | −1.19898 | − | 0.472159i | ||||
\(689\) | −39006.6 | + | 32730.4i | −0.0821673 | + | 0.0689466i | ||||
\(690\) | −340534. | + | 643873.i | −0.715257 | + | 1.35239i | ||||
\(691\) | 63664.2 | + | 36756.5i | 0.133333 | + | 0.0769801i | 0.565183 | − | 0.824966i | \(-0.308806\pi\) |
−0.431850 | + | 0.901946i | \(0.642139\pi\) | |||||||
\(692\) | 40009.8 | − | 397525.i | 0.0835516 | − | 0.830143i | ||||
\(693\) | 143.699 | − | 52.3023i | 0.000299219 | − | 0.000108907i | ||||
\(694\) | −18978.5 | − | 511154.i | −0.0394043 | − | 1.06129i | ||||
\(695\) | 652172. | − | 376532.i | 1.35018 | − | 0.779529i | ||||
\(696\) | 1387.29 | + | 12409.0i | 0.00286384 | + | 0.0256163i | ||||
\(697\) | 63876.8 | − | 362263.i | 0.131485 | − | 0.745691i | ||||
\(698\) | 506004. | − | 205738.i | 1.03859 | − | 0.422283i | ||||
\(699\) | 87445.9 | − | 104214.i | 0.178972 | − | 0.213291i | ||||
\(700\) | 146573. | + | 70689.8i | 0.299128 | + | 0.144265i | ||||
\(701\) | −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 | ||||
\(706\) | −46478.2 | + | 336085.i | −0.0932480 | + | 0.674279i | ||||
\(707\) | −93537.8 | + | 111474.i | −0.187132 | + | 0.223015i | ||||
\(708\) | 510908. | − | 37991.2i | 1.01924 | − | 0.0757907i | ||||
\(709\) | 97688.0 | − | 554016.i | 0.194334 | − | 1.10212i | −0.719030 | − | 0.694979i | \(-0.755414\pi\) |
0.913364 | − | 0.407144i | \(-0.133475\pi\) | |||||||
\(710\) | −523939. | − | 579319.i | −1.03936 | − | 1.14921i | ||||
\(711\) | −202.909 | + | 117.149i | −0.000401385 | + | 0.000231740i | ||||
\(712\) | −411461. | − | 273591.i | −0.811649 | − | 0.539686i | ||||
\(713\) | −301798. | + | 109846.i | −0.593659 | + | 0.216074i | ||||
\(714\) | −67448.9 | − | 313917.i | −0.132306 | − | 0.615769i | ||||
\(715\) | 13643.3 | + | 7876.94i | 0.0266874 | + | 0.0154080i | ||||
\(716\) | 341370. | + | 350393.i | 0.665886 | + | 0.683486i | ||||
\(717\) | 326009. | − | 273554.i | 0.634148 | − | 0.532113i | ||||
\(718\) | 180338. | − | 113241.i | 0.349815 | − | 0.219663i | ||||
\(719\) | −28670.5 | + | 5055.38i | −0.0554597 | + | 0.00977904i | −0.201309 | − | 0.979528i | \(-0.564520\pi\) |
0.145849 | + | 0.989307i | \(0.453408\pi\) | |||||||
\(720\) | 92.0891 | − | 3529.41i | 0.000177641 | − | 0.00680827i | ||||
\(721\) | 172063. | 0.330991 | ||||||||
\(722\) | −451236. | + | 261004.i | −0.865625 | + | 0.500694i | ||||
\(723\) | − | 667656.i | − | 1.27725i | ||||||
\(724\) | −288194. | − | 423228.i | −0.549805 | − | 0.807415i | ||||
\(725\) | −1794.44 | − | 10176.8i | −0.00341392 | − | 0.0193613i | ||||
\(726\) | −438359. | + | 275263.i | −0.831681 | + | 0.522246i | ||||
\(727\) | 299573. | + | 357017.i | 0.566805 | + | 0.675491i | 0.970972 | − | 0.239194i | \(-0.0768831\pi\) |
−0.404167 | + | 0.914685i | \(0.632439\pi\) | |||||||
\(728\) | −16588.9 | − | 33448.8i | −0.0313007 | − | 0.0631128i | ||||
\(729\) | 264344. | − | 457858.i | 0.497410 | − | 0.861540i | ||||
\(730\) | −219868. | − | 1.02330e6i | −0.412588 | − | 1.92024i | ||||
\(731\) | −340660. | − | 935957.i | −0.637510 | − | 1.75154i | ||||
\(732\) | 106499. | − | 377686.i | 0.198758 | − | 0.704869i | ||||
\(733\) | 128790. | + | 223070.i | 0.239703 | + | 0.415177i | 0.960629 | − | 0.277835i | \(-0.0896167\pi\) |
−0.720926 | + | 0.693012i | \(0.756283\pi\) | |||||||
\(734\) | 103982. | + | 114972.i | 0.193003 | + | 0.213403i | ||||
\(735\) | −574905. | − | 101371.i | −1.06419 | − | 0.187646i | ||||
\(736\) | 472239. | − | 405212.i | 0.871779 | − | 0.748043i | ||||
\(737\) | −31114.9 | − | 26108.5i | −0.0572840 | − | 0.0480670i | ||||
\(738\) | 200.235 | − | 1447.90i | 0.000367643 | − | 0.00265844i | ||||
\(739\) | −78426.0 | + | 215474.i | −0.143605 | + | 0.394553i | −0.990554 | − | 0.137122i | \(-0.956215\pi\) |
0.846949 | + | 0.531675i | \(0.178437\pi\) | |||||||
\(740\) | −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 | \(0.277496\pi\) |
−0.984961 | + | 0.172776i | \(0.944726\pi\) | |||||||
\(744\) | 210556. | − | 220944.i | 0.380384 | − | 0.399150i | ||||
\(745\) | 929782. | + | 780180.i | 1.67521 | + | 1.40567i | ||||
\(746\) | −811404. | + | 329912.i | −1.45801 | + | 0.592816i | ||||
\(747\) | −3427.55 | − | 604.369i | −0.00614246 | − | 0.00108308i | ||||
\(748\) | −47541.5 | − | 105525.i | −0.0849709 | − | 0.188605i | ||||
\(749\) | 140529. | + | 243404.i | 0.250497 | + | 0.433874i | ||||
\(750\) | −6540.94 | − | 176169.i | −0.0116283 | − | 0.313189i | ||||
\(751\) | −30.2909 | − | 83.2237i | −5.37073e−5 | − | 0.000147559i | 0.939666 | − | 0.342094i | \(-0.111136\pi\) |
−0.939719 | + | 0.341946i | \(0.888914\pi\) | |||||||
\(752\) | 555130. | + | 491044.i | 0.981655 | + | 0.868331i | ||||
\(753\) | 107254. | − | 185769.i | 0.189157 | − | 0.327629i | ||||
\(754\) | −1108.49 | + | 2095.90i | −0.00194979 | + | 0.00368662i | ||||
\(755\) | 91702.1 | + | 109286.i | 0.160874 | + | 0.191722i | ||||
\(756\) | 60953.3 | + | 239957.i | 0.106648 | + | 0.419846i | ||||
\(757\) | −105376. | − | 597616.i | −0.183886 | − | 1.04287i | −0.927378 | − | 0.374125i | \(-0.877943\pi\) |
0.743492 | − | 0.668745i | \(-0.233168\pi\) | |||||||
\(758\) | −412976. | + | 530995.i | −0.718765 | + | 0.924170i | ||||
\(759\) | 94879.3i | 0.164698i | ||||||||
\(760\) | 590685. | + | 489721.i | 1.02265 | + | 0.847854i | ||||
\(761\) | 933235. | 1.61147 | 0.805734 | − | 0.592278i | \(-0.201771\pi\) | ||||
0.805734 | + | 0.592278i | \(0.201771\pi\) | |||||||
\(762\) | 91362.4 | + | 71056.2i | 0.157347 | + | 0.122375i | ||||
\(763\) | −303513. | + | 53517.6i | −0.521349 | + | 0.0919279i | ||||
\(764\) | −613059. | + | 155728.i | −1.05031 | + | 0.266796i | ||||
\(765\) | 4416.52 | − | 3705.90i | 0.00754670 | − | 0.00633244i | ||||
\(766\) | 642764. | + | 339948.i | 1.09545 | + | 0.579368i | ||||
\(767\) | 84249.2 | + | 48641.3i | 0.143211 | + | 0.0826827i | ||||
\(768\) | −230950. | + | 544369.i | −0.391558 | + | 0.922935i | ||||
\(769\) | −734040. | + | 267169.i | −1.24127 | + | 0.451786i | −0.877444 | − | 0.479680i | \(-0.840753\pi\) |
−0.363829 | + | 0.931466i | \(0.618531\pi\) | |||||||
\(770\) | 48883.9 | − | 1815.00i | 0.0824488 | − | 0.00306122i | ||||
\(771\) | −686471. | + | 396334.i | −1.15482 | + | 0.666735i | ||||
\(772\) | 754963. | − | 340129.i | 1.26675 | − | 0.570701i | ||||
\(773\) | −131641. | + | 746572.i | −0.220309 | + | 1.24943i | 0.651145 | + | 0.758954i | \(0.274289\pi\) |
−0.871453 | + | 0.490478i | \(0.836822\pi\) | |||||||
\(774\) | −1490.70 | − | 3666.30i | −0.00248832 | − | 0.00611993i | ||||
\(775\) | −162362. | + | 193496.i | −0.270322 | + | 0.322157i | ||||
\(776\) | 176661. | − | 185377.i | 0.293372 | − | 0.307845i | ||||
\(777\) | −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 | ||||
\(782\) | 1.00655e6 | + | 139198.i | 1.64597 | + | 0.227625i | ||||
\(783\) | 10105.9 | − | 12043.7i | 0.0164835 | − | 0.0196443i | ||||
\(784\) | 425255. | + | 260542.i | 0.691858 | + | 0.423882i | ||||
\(785\) | −88999.2 | + | 504740.i | −0.144426 | + | 0.819083i | ||||
\(786\) | 835893. | − | 755986.i | 1.35302 | − | 1.22368i | ||||
\(787\) | −69540.0 | + | 40149.0i | −0.112276 | + | 0.0648224i | −0.555086 | − | 0.831793i | \(-0.687315\pi\) |
0.442811 | + | 0.896615i | \(0.353981\pi\) | |||||||
\(788\) | 44624.0 | + | 12583.0i | 0.0718647 | + | 0.0202643i | ||||
\(789\) | 692062. | − | 251890.i | 1.11171 | − | 0.404629i | ||||
\(790\) | −73276.6 | + | 15744.4i | −0.117412 | + | 0.0252273i | ||||
\(791\) | −113854. | − | 65733.6i | −0.181968 | − | 0.105059i | ||||
\(792\) | −204.337 | − | 412.013i | −0.000325760 | − | 0.000656842i | ||||
\(793\) | 57081.2 | − | 47896.8i | 0.0907709 | − | 0.0761659i | ||||
\(794\) | 110368. | + | 175763.i | 0.175067 | + | 0.278796i | ||||
\(795\) | −548142. | + | 96652.2i | −0.867279 | + | 0.152925i | ||||
\(796\) | 841253. | − | 572847.i | 1.32770 | − | 0.904091i | ||||
\(797\) | −7232.82 | −0.0113865 | −0.00569326 | − | 0.999984i | \(-0.501812\pi\) | ||||
−0.00569326 | + | 0.999984i | \(0.501812\pi\) | |||||||
\(798\) | 253470. | + | 112396.i | 0.398034 | + | 0.176500i | ||||
\(799\) | 1.21026e6i | 1.89577i | ||||||||
\(800\) | 162302. | − | 461697.i | 0.253597 | − | 0.721402i | ||||
\(801\) | −556.746 | − | 3157.46i | −0.000867745 | − | 0.00492123i | ||||
\(802\) | 104867. | + | 167001.i | 0.163038 | + | 0.259639i | ||||
\(803\) | −87636.2 | − | 104441.i | −0.135910 | − | 0.161972i | ||||
\(804\) | −242726. | + | 236476.i | −0.375495 | + | 0.365826i | ||||
\(805\) | −214733. | + | 371929.i | −0.331366 | + | 0.573943i | ||||
\(806\) | 56661.3 | − | 12174.4i | 0.0872201 | − | 0.0187403i | ||||
\(807\) | −96367.5 | − | 264768.i | −0.147973 | − | 0.406554i | ||||
\(808\) | 364429. | + | 242318.i | 0.558200 | + | 0.371162i | ||||
\(809\) | −143399. | − | 248375.i | −0.219104 | − | 0.379499i | 0.735430 | − | 0.677600i | \(-0.236980\pi\) |
−0.954534 | + | 0.298101i | \(0.903647\pi\) | |||||||
\(810\) | −649713. | + | 587604.i | −0.990265 | + | 0.895601i | ||||
\(811\) | −607705. | − | 107155.i | −0.923956 | − | 0.162918i | −0.308622 | − | 0.951185i | \(-0.599868\pi\) |
−0.615334 | + | 0.788266i | \(0.710979\pi\) | |||||||
\(812\) | 545.944 | + | 7341.89i | 0.000828010 | + | 0.0111351i | ||||
\(813\) | 784356. | + | 658153.i | 1.18668 | + | 0.995739i | ||||
\(814\) | −143414. | − | 19833.1i | −0.216442 | − | 0.0299324i | ||||
\(815\) | −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 | ||||
\(820\) | 203115. | − | 421151.i | 0.302075 | − | 0.626340i | ||||
\(821\) | −566398. | − | 475264.i | −0.840302 | − | 0.705097i | 0.117330 | − | 0.993093i | \(-0.462567\pi\) |
−0.957632 | + | 0.287996i | \(0.907011\pi\) | |||||||
\(822\) | 202792. | + | 498758.i | 0.300128 | + | 0.738153i | ||||
\(823\) | −822012. | − | 144943.i | −1.21361 | − | 0.213992i | −0.470036 | − | 0.882647i | \(-0.655759\pi\) |
−0.743572 | + | 0.668656i | \(0.766870\pi\) | |||||||
\(824\) | −57493.1 | − | 514261.i | −0.0846762 | − | 0.757407i | ||||
\(825\) | 37310.3 | + | 64623.3i | 0.0548177 | + | 0.0949470i | ||||
\(826\) | 301866. | − | 11207.9i | 0.442439 | − | 0.0164272i | ||||
\(827\) | −247029. | − | 678707.i | −0.361191 | − | 0.992365i | −0.978609 | − | 0.205729i | \(-0.934043\pi\) |
0.617418 | − | 0.786636i | \(-0.288179\pi\) | |||||||
\(828\) | 4017.35 | + | 404.336i | 0.00585975 | + | 0.000589768i | ||||
\(829\) | 303161. | − | 525091.i | 0.441128 | − | 0.764057i | −0.556645 | − | 0.830750i | \(-0.687912\pi\) |
0.997773 | + | 0.0666937i | \(0.0212450\pi\) | |||||||
\(830\) | −984171. | − | 520512.i | −1.42861 | − | 0.755570i | ||||
\(831\) | 685410. | + | 816840.i | 0.992541 | + | 1.18286i | ||||
\(832\) | −94428.8 | + | 60757.5i | −0.136414 | + | 0.0877714i | ||||
\(833\) | 141418. | + | 802022.i | 0.203805 | + | 1.15584i | ||||
\(834\) | −646027. | − | 502441.i | −0.928792 | − | 0.722359i | ||||
\(835\) | 1.73516e6i | 2.48866i | ||||||||
\(836\) | 97840.3 | + | 20417.7i | 0.139993 | + | 0.0292142i | ||||
\(837\) | −384295. | −0.548547 | ||||||||
\(838\) | 46942.5 | − | 60357.5i | 0.0668464 | − | 0.0859495i | ||||
\(839\) | 779660. | − | 137475.i | 1.10760 | − | 0.195299i | 0.410207 | − | 0.911992i | \(-0.365456\pi\) |
0.697388 | + | 0.716693i | \(0.254345\pi\) | |||||||
\(840\) | 25775.3 | − | 407308.i | 0.0365296 | − | 0.577251i | ||||
\(841\) | −541451. | + | 454331.i | −0.765538 | + | 0.642363i | ||||
\(842\) | 186597. | − | 352812.i | 0.263196 | − | 0.497645i | ||||
\(843\) | −837539. | − | 483553.i | −1.17855 | − | 0.680439i | ||||
\(844\) | 744771. | + | 74959.2i | 1.04553 | + | 0.105230i | ||||
\(845\) | −867864. | + | 315877.i | −1.21545 | + | 0.442389i | ||||
\(846\) | 178.431 | + | 4805.74i | 0.000249305 | + | 0.00671459i | ||||
\(847\) | −264309. | + | 152599.i | −0.368422 | + | 0.212709i | ||||
\(848\) | 465969. | + | 94756.9i | 0.647985 | + | 0.131771i | ||||
\(849\) | 75388.9 | − | 427552.i | 0.104590 | − | 0.593162i | ||||
\(850\) | 740308. | − | 301005.i | 1.02465 | − | 0.416615i | ||||
\(851\) | 817026. | − | 973694.i | 1.12818 | − | 1.34451i | ||||
\(852\) | −368758. | + | 764607.i | −0.507999 | + | 1.05332i | ||||
\(853\) | 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 | \(0.938141\pi\) | |||||||
\(858\) | 2345.38 | − | 16959.5i | 0.00318595 | − | 0.0230377i | ||||
\(859\) | −662413. | + | 789433.i | −0.897724 | + | 1.06987i | 0.0994729 | + | 0.995040i | \(0.468284\pi\) |
−0.997197 | + | 0.0748253i | \(0.976160\pi\) | |||||||
\(860\) | −93883.4 | − | 1.26255e6i | −0.126938 | − | 1.70707i | ||||
\(861\) | 29340.3 | − | 166397.i | 0.0395784 | − | 0.224460i | ||||
\(862\) | −547332. | − | 605184.i | −0.736607 | − | 0.814466i | ||||
\(863\) | 1.07133e6 | − | 618530.i | 1.43847 | − | 0.830499i | 0.440723 | − | 0.897643i | \(-0.354722\pi\) |
0.997743 | + | 0.0671439i | \(0.0213887\pi\) | |||||||
\(864\) | 696817. | − | 262357.i | 0.933450 | − | 0.351451i | ||||
\(865\) | 779277. | − | 283634.i | 1.04150 | − | 0.379076i | ||||
\(866\) | 223909. | + | 1.04210e6i | 0.298563 | + | 1.38955i | ||||
\(867\) | −712929. | − | 411610.i | −0.948436 | − | 0.547580i | ||||
\(868\) | 128896. | − | 125577.i | 0.171081 | − | 0.166675i | ||||
\(869\) | −7478.83 | + | 6275.48i | −0.00990362 | + | 0.00831013i | ||||
\(870\) | −21948.6 | + | 13782.4i | −0.0289980 | + | 0.0182090i | ||||
\(871\) | −63370.4 | + | 11173.9i | −0.0835315 | + | 0.0147289i | ||||
\(872\) | 261370. | + | 889259.i | 0.343734 | + | 1.16949i | ||||
\(873\) | 1661.58 | 0.00218019 | ||||||||
\(874\) | −608601. | + | 632124.i | −0.796728 | + | 0.827522i | ||||
\(875\) | − | 103944.i | − | 0.135764i | ||||||
\(876\) | −940196. | + | 640221.i | −1.22521 | + | 0.834299i | ||||
\(877\) | 75227.8 | + | 426638.i | 0.0978090 | + | 0.554703i | 0.993850 | + | 0.110732i | \(0.0353195\pi\) |
−0.896041 | + | 0.443971i | \(0.853569\pi\) | |||||||
\(878\) | −371596. | + | 233340.i | −0.482038 | + | 0.302691i | ||||
\(879\) | 671525. | + | 800293.i | 0.869130 | + | 1.03579i | ||||
\(880\) | −21758.8 | − | 145498.i | −0.0280976 | − | 0.187885i | ||||
\(881\) | 95188.1 | − | 164871.i | 0.122640 | − | 0.212418i | −0.798168 | − | 0.602435i | \(-0.794197\pi\) |
0.920808 | + | 0.390017i | \(0.127531\pi\) | |||||||
\(882\) | 679.792 | + | 3163.85i | 0.000873854 | + | 0.00406704i | ||||
\(883\) | 242555. | + | 666414.i | 0.311092 | + | 0.854718i | 0.992437 | + | 0.122756i | \(0.0391731\pi\) |
−0.681345 | + | 0.731962i | \(0.738605\pi\) | |||||||
\(884\) | −176478. | − | 49763.0i | −0.225832 | − | 0.0636798i | ||||
\(885\) | 531696. | + | 920924.i | 0.678854 | + | 1.17581i | ||||
\(886\) | −80744.8 | − | 89279.5i | −0.102860 | − | 0.113732i | ||||
\(887\) | −390584. | − | 68870.6i | −0.496441 | − | 0.0875360i | −0.0801788 | − | 0.996781i | \(-0.525549\pi\) |
−0.416262 | + | 0.909245i | \(0.636660\pi\) | |||||||
\(888\) | −284457. | + | 1.17392e6i | −0.360737 | + | 1.48872i | ||||
\(889\) | 52277.5 | + | 43866.1i | 0.0661472 | + | 0.0555041i | ||||
\(890\) | 140497. | − | 1.01594e6i | 0.177373 | − | 1.28259i | ||||
\(891\) | −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 | ||||
\(896\) | −147988. | + | 315698.i | −0.184337 | + | 0.393238i | ||||
\(897\) | 115145. | + | 96618.4i | 0.143107 | + | 0.120081i | ||||
\(898\) | −44561.9 | + | 18118.6i | −0.0552600 | + | 0.0224684i | ||||
\(899\) | −11254.1 | − | 1984.40i | −0.0139249 | − | 0.00245533i | ||||
\(900\) | 2895.26 | − | 1304.38i | 0.00357440 | − | 0.00161035i | ||||
\(901\) | 388242. | + | 672455.i | 0.478248 | + | 0.828349i | ||||
\(902\) | −2259.82 | − | 60864.5i | −0.00277755 | − | 0.0748085i | ||||
\(903\) | −156474. | − | 429910.i | −0.191897 | − | 0.527233i | ||||
\(904\) | −158422. | + | 362252.i | −0.193855 | + | 0.443275i | ||||
\(905\) | 531399. | − | 920410.i | 0.648819 | − | 1.12379i | ||||
\(906\) | 72486.2 | − | 137055.i | 0.0883077 | − | 0.166970i | ||||
\(907\) | −597830. | − | 712466.i | −0.726713 | − | 0.866063i | 0.268552 | − | 0.963265i | \(-0.413455\pi\) |
−0.995265 | + | 0.0972025i | \(0.969011\pi\) | |||||||
\(908\) | −1.31269e6 | + | 333447.i | −1.59218 | + | 0.404441i | ||||
\(909\) | 493.107 | + | 2796.55i | 0.000596779 | + | 0.00338450i | ||||
\(910\) | 47577.2 | − | 61173.7i | 0.0574535 | − | 0.0738723i | ||||
\(911\) | − | 1.02940e6i | − | 1.24035i | −0.784462 | − | 0.620177i | \(-0.787061\pi\) | ||
0.784462 | − | 0.620177i | \(-0.212939\pi\) | |||||||
\(912\) | 251234. | − | 795127.i | 0.302057 | − | 0.955975i | ||||
\(913\) | −145025. | −0.173980 | ||||||||
\(914\) | −338369. | − | 263163.i | −0.405040 | − | 0.315016i | ||||
\(915\) | 802137. | − | 141438.i | 0.958090 | − | 0.168937i | ||||
\(916\) | −314033. | − | 1.23627e6i | −0.374270 | − | 1.47340i | ||||
\(917\) | 509059. | − | 427151.i | 0.605381 | − | 0.507975i | ||||
\(918\) | 1.07479e6 | + | 568441.i | 1.27538 | + | 0.674528i | ||||
\(919\) | 200820. | + | 115944.i | 0.237781 | + | 0.137283i | 0.614156 | − | 0.789184i | \(-0.289496\pi\) |
−0.376376 | + | 0.926467i | \(0.622830\pi\) | |||||||
\(920\) | 1.18337e6 | + | 517519.i | 1.39813 | + | 0.611436i | ||||
\(921\) | −1.38051e6 | + | 502464.i | −1.62750 | + | 0.592360i | ||||
\(922\) | −828230. | + | 30751.2i | −0.974292 | + | 0.0361743i | ||||
\(923\) | −139596. | + | 80596.0i | −0.163859 | + | 0.0946042i | ||||
\(924\) | −21837.1 | − | 48470.5i | −0.0255771 | − | 0.0567719i | ||||
\(925\) | 173590. | − | 984480.i | 0.202881 | − | 1.15060i | ||||
\(926\) | 222937. | + | 548305.i | 0.259992 | + | 0.639440i | ||||
\(927\) | 2158.27 | − | 2572.13i | 0.00251157 | − | 0.00299318i | ||||
\(928\) | 21761.1 | − | 4084.94i | 0.0252688 | − | 0.00474340i | ||||
\(929\) | 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 | ||||
\(934\) | −43396.9 | − | 6001.47i | −0.0497467 | − | 0.00687962i | ||||
\(935\) | 154420. | − | 184031.i | 0.176636 | − | 0.210507i | ||||
\(936\) | −708.101 | − | 171.582i | −0.000808246 | − | 0.000195848i | ||||
\(937\) | −95286.6 | + | 540397.i | −0.108531 | + | 0.615508i | 0.881220 | + | 0.472706i | \(0.156723\pi\) |
−0.989751 | + | 0.142803i | \(0.954389\pi\) | |||||||
\(938\) | −148191. | + | 134025.i | −0.168429 | + | 0.152328i | ||||
\(939\) | 1.12420e6 | − | 649055.i | 1.27500 | − | 0.736123i | ||||
\(940\) | −417501. | + | 1.48061e6i | −0.472500 | + | 1.67566i | ||||
\(941\) | 332455. | − | 121004.i | 0.375452 | − | 0.136653i | −0.147400 | − | 0.989077i | \(-0.547090\pi\) |
0.522852 | + | 0.852424i | \(0.324868\pi\) | |||||||
\(942\) | 544573. | − | 117008.i | 0.613697 | − | 0.131860i | ||||
\(943\) | 463083. | + | 267361.i | 0.520757 | + | 0.300659i | ||||
\(944\) | −134364. | − | 898472.i | −0.150778 | − | 1.00823i | ||||
\(945\) | −393657. | + | 330317.i | −0.440813 | + | 0.369886i | ||||
\(946\) | −87699.9 | − | 139663.i | −0.0979979 | − | 0.156063i | ||||
\(947\) | 930820. | − | 164129.i | 1.03792 | − | 0.183014i | 0.371381 | − | 0.928480i | \(-0.378884\pi\) |
0.666543 | + | 0.745466i | \(0.267773\pi\) | |||||||
\(948\) | 45845.2 | + | 67325.9i | 0.0510125 | + | 0.0749144i | ||||
\(949\) | −215992. | −0.239831 | ||||||||
\(950\) | −165949. | + | 669872.i | −0.183877 | + | 0.742241i | ||||
\(951\) | − | 1.04234e6i | − | 1.15252i | ||||||
\(952\) | −546247. | + | 160552.i | −0.602720 | + | 0.177150i | ||||
\(953\) | −159160. | − | 902641.i | −0.175246 | − | 0.993869i | −0.937860 | − | 0.347015i | \(-0.887195\pi\) |
0.762614 | − | 0.646854i | \(-0.223916\pi\) | |||||||
\(954\) | 1640.78 | + | 2612.97i | 0.00180283 | + | 0.00287102i | ||||
\(955\) | −843918. | − | 1.00574e6i | −0.925323 | − | 1.10276i | ||||
\(956\) | −526609. | − | 540528.i | −0.576199 | − | 0.591429i | ||||
\(957\) | −1687.99 | + | 2923.68i | −0.00184309 | + | 0.00319232i | ||||
\(958\) | 537573. | − | 115504.i | 0.585742 | − | 0.125854i | ||||
\(959\) | 108577. | + | 298312.i | 0.118059 | + | 0.324364i | ||||
\(960\) | −1.22598e6 | + | 59061.0i | −1.33027 | + | 0.0640853i | ||||
\(961\) | −322095. | − | 557885.i | −0.348769 | − | 0.604085i | ||||
\(962\) | −170112. | + | 153850.i | −0.183816 | + | 0.166244i | ||||
\(963\) | 5401.32 | + | 952.398i | 0.00582435 | + | 0.00102699i | ||||
\(964\) | −1.18065e6 | + | 87793.5i | −1.27048 | + | 0.0944731i | ||||
\(965\) | 1.31662e6 | + | 1.10477e6i | 1.41386 | + | 1.18637i | ||||
\(966\) | 462334. | + | 63937.5i | 0.495452 | + | 0.0685175i | ||||
\(967\) | 136790. | − | 375827.i | 0.146285 | − | 0.401916i | −0.844811 | − | 0.535066i | \(-0.820287\pi\) |
0.991096 | + | 0.133150i | \(0.0425091\pi\) | |||||||
\(968\) | 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 | \(0.354645\pi\) |
−0.914705 | + | 0.404122i | \(0.867577\pi\) | |||||||
\(972\) | 8725.68 | + | 4208.27i | 0.00923564 | + | 0.00445421i | ||||
\(973\) | −369657. | − | 310179.i | −0.390457 | − | 0.327632i | ||||
\(974\) | 254632. | + | 626257.i | 0.268408 | + | 0.660138i | ||||
\(975\) | 116421. | + | 20528.1i | 0.122468 | + | 0.0215944i | ||||
\(976\) | −681887. | − | 138665.i | −0.715835 | − | 0.145568i | ||||
\(977\) | −310557. | − | 537901.i | −0.325352 | − | 0.563525i | 0.656232 | − | 0.754559i | \(-0.272149\pi\) |
−0.981583 | + | 0.191034i | \(0.938816\pi\) | |||||||
\(978\) | 1.26403e6 | − | 46931.9i | 1.32154 | − | 0.0490671i | ||||
\(979\) | −45692.9 | − | 125540.i | −0.0476742 | − | 0.130984i | ||||
\(980\) | −103663. | + | 1.02997e6i | −0.107938 | + | 1.07243i | ||||
\(981\) | −3007.10 | + | 5208.45i | −0.00312471 | + | 0.00541216i | ||||
\(982\) | 35895.4 | + | 18984.5i | 0.0372234 | + | 0.0196869i | ||||
\(983\) | −1.11373e6 | − | 1.32729e6i | −1.15259 | − | 1.37360i | −0.915601 | − | 0.402087i | \(-0.868285\pi\) |
−0.236986 | − | 0.971513i | \(-0.576160\pi\) | |||||||
\(984\) | −507132. | − | 32092.4i | −0.523759 | − | 0.0331445i | ||||
\(985\) | 16711.1 | + | 94773.3i | 0.0172239 | + | 0.0976818i | ||||
\(986\) | 28540.1 | + | 22196.8i | 0.0293563 | + | 0.0228316i | ||||
\(987\) | 555905.i | 0.570646i | ||||||||
\(988\) | 124413. | − | 97946.8i | 0.127453 | − | 0.100341i | ||||
\(989\) | 1.44785e6 | 1.48024 | ||||||||
\(990\) | 586.044 | − | 753.521i | 0.000597943 | − | 0.000768821i | ||||
\(991\) | −245854. | + | 43350.7i | −0.250340 | + | 0.0441417i | −0.297410 | − | 0.954750i | \(-0.596123\pi\) |
0.0470698 | + | 0.998892i | \(0.485012\pi\) | |||||||
\(992\) | −418395. | − | 343286.i | −0.425170 | − | 0.348845i | ||||
\(993\) | −961737. | + | 806993.i | −0.975344 | + | 0.818411i | ||||
\(994\) | −234005. | + | 442450.i | −0.236838 | + | 0.447807i | ||||
\(995\) | 1.82951e6 | + | 1.05627e6i | 1.84794 | + | 1.06691i | ||||
\(996\) | −121166. | + | 1.20387e6i | −0.122141 | + | 1.21356i | ||||
\(997\) | −1.23391e6 | + | 449107.i | −1.24135 | + | 0.451814i | −0.877469 | − | 0.479633i | \(-0.840770\pi\) |
−0.363878 | + | 0.931446i | \(0.618548\pi\) | |||||||
\(998\) | −52166.2 | − | 1.40501e6i | −0.0523755 | − | 1.41065i | ||||
\(999\) | 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.23.8 | yes | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.2 | ✓ | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.2 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.8 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.2 | ✓ | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.23.8 | yes | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.43.2 | yes | 228 | 19.5 | even | 9 | inner | |
76.5.l.a.43.8 | yes | 228 | 76.43 | odd | 18 | inner |