Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,6,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.13228223402\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 5.10 | ||
Character | \(\chi\) | \(=\) | 32.5 |
Dual form | 32.6.g.a.13.10 |
$q$-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 \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0731871 | + | 5.65638i | 0.0129378 | + | 0.999916i | ||||
\(3\) | 9.04699 | + | 21.8414i | 0.580365 | + | 1.40113i | 0.892483 | + | 0.451082i | \(0.148962\pi\) |
−0.312118 | + | 0.950043i | \(0.601038\pi\) | |||||||
\(4\) | −31.9893 | + | 0.827948i | −0.999665 | + | 0.0258734i | ||||
\(5\) | 83.7809 | + | 34.7032i | 1.49872 | + | 0.620790i | 0.973193 | − | 0.229988i | \(-0.0738687\pi\) |
0.525525 | + | 0.850778i | \(0.323869\pi\) | |||||||
\(6\) | −122.881 | + | 52.7718i | −1.39350 | + | 0.598444i | ||||
\(7\) | −34.8236 | − | 34.8236i | −0.268614 | − | 0.268614i | 0.559928 | − | 0.828541i | \(-0.310829\pi\) |
−0.828541 | + | 0.559928i | \(0.810829\pi\) | |||||||
\(8\) | −7.02439 | − | 180.883i | −0.0388046 | − | 0.999247i | ||||
\(9\) | −223.371 | + | 223.371i | −0.919221 | + | 0.919221i | ||||
\(10\) | −190.163 | + | 476.437i | −0.601348 | + | 1.50663i | ||||
\(11\) | 241.591 | − | 583.253i | 0.602005 | − | 1.45337i | −0.269509 | − | 0.962998i | \(-0.586862\pi\) |
0.871514 | − | 0.490370i | \(-0.163138\pi\) | |||||||
\(12\) | −307.490 | − | 691.200i | −0.616423 | − | 1.38564i | ||||
\(13\) | −569.664 | + | 235.962i | −0.934889 | + | 0.387244i | −0.797531 | − | 0.603278i | \(-0.793861\pi\) |
−0.137358 | + | 0.990521i | \(0.543861\pi\) | |||||||
\(14\) | 194.427 | − | 199.524i | 0.265116 | − | 0.272067i | ||||
\(15\) | 2143.85i | 2.46018i | ||||||||
\(16\) | 1022.63 | − | 52.9709i | 0.998661 | − | 0.0517294i | ||||
\(17\) | 887.185i | 0.744546i | 0.928123 | + | 0.372273i | \(0.121422\pi\) | ||||
−0.928123 | + | 0.372273i | \(0.878578\pi\) | |||||||
\(18\) | −1279.82 | − | 1247.12i | −0.931037 | − | 0.907251i | ||||
\(19\) | 1128.92 | − | 467.613i | 0.717428 | − | 0.297168i | 0.00605343 | − | 0.999982i | \(-0.498073\pi\) |
0.711374 | + | 0.702813i | \(0.248073\pi\) | |||||||
\(20\) | −2708.82 | − | 1040.76i | −1.51428 | − | 0.581805i | ||||
\(21\) | 445.546 | − | 1075.64i | 0.220467 | − | 0.532256i | ||||
\(22\) | 3316.79 | + | 1323.85i | 1.46104 | + | 0.583151i | ||||
\(23\) | 2106.39 | − | 2106.39i | 0.830271 | − | 0.830271i | −0.157283 | − | 0.987554i | \(-0.550273\pi\) |
0.987554 | + | 0.157283i | \(0.0502734\pi\) | |||||||
\(24\) | 3887.18 | − | 1789.87i | 1.37755 | − | 0.634298i | ||||
\(25\) | 3605.22 | + | 3605.22i | 1.15367 | + | 1.15367i | ||||
\(26\) | −1376.39 | − | 3204.96i | −0.399307 | − | 0.929801i | ||||
\(27\) | −1592.10 | − | 659.471i | −0.420302 | − | 0.174095i | ||||
\(28\) | 1142.81 | + | 1085.15i | 0.275474 | + | 0.261574i | ||||
\(29\) | 934.441 | + | 2255.94i | 0.206327 | + | 0.498118i | 0.992839 | − | 0.119457i | \(-0.0381153\pi\) |
−0.786512 | + | 0.617575i | \(0.788115\pi\) | |||||||
\(30\) | −12126.4 | + | 156.902i | −2.45997 | + | 0.0318292i | ||||
\(31\) | −8560.47 | −1.59990 | −0.799951 | − | 0.600065i | \(-0.795141\pi\) | ||||
−0.799951 | + | 0.600065i | \(0.795141\pi\) | |||||||
\(32\) | 374.467 | + | 5780.50i | 0.0646455 | + | 0.997908i | ||||
\(33\) | 14924.7 | 2.38573 | ||||||||
\(34\) | −5018.25 | + | 64.9304i | −0.744484 | + | 0.00963277i | ||||
\(35\) | −1709.06 | − | 4126.04i | −0.235824 | − | 0.569329i | ||||
\(36\) | 6960.53 | − | 7330.41i | 0.895130 | − | 0.942697i | ||||
\(37\) | −732.927 | − | 303.588i | −0.0880149 | − | 0.0364570i | 0.338242 | − | 0.941059i | \(-0.390168\pi\) |
−0.426257 | + | 0.904602i | \(0.640168\pi\) | |||||||
\(38\) | 2727.62 | + | 6351.36i | 0.306425 | + | 0.713523i | ||||
\(39\) | −10307.5 | − | 10307.5i | −1.08515 | − | 1.08515i | ||||
\(40\) | 5688.71 | − | 15398.3i | 0.562165 | − | 1.52168i | ||||
\(41\) | −7247.87 | + | 7247.87i | −0.673366 | + | 0.673366i | −0.958490 | − | 0.285125i | \(-0.907965\pi\) |
0.285125 | + | 0.958490i | \(0.407965\pi\) | |||||||
\(42\) | 6116.86 | + | 2441.46i | 0.535063 | + | 0.213563i | ||||
\(43\) | −1698.50 | + | 4100.55i | −0.140086 | + | 0.338198i | −0.978316 | − | 0.207120i | \(-0.933591\pi\) |
0.838229 | + | 0.545318i | \(0.183591\pi\) | |||||||
\(44\) | −7245.44 | + | 18857.9i | −0.564200 | + | 1.46846i | ||||
\(45\) | −26465.9 | + | 10962.5i | −1.94830 | + | 0.807011i | ||||
\(46\) | 12068.7 | + | 11760.4i | 0.840943 | + | 0.819460i | ||||
\(47\) | − | 6121.67i | − | 0.404227i | −0.979362 | − | 0.202113i | \(-0.935219\pi\) | ||
0.979362 | − | 0.202113i | \(-0.0647810\pi\) | |||||||
\(48\) | 10408.7 | + | 21856.4i | 0.652067 | + | 1.36923i | ||||
\(49\) | − | 14381.6i | − | 0.855693i | ||||||
\(50\) | −20128.7 | + | 20656.4i | −1.13865 | + | 1.16850i | ||||
\(51\) | −19377.3 | + | 8026.36i | −1.04320 | + | 0.432109i | ||||
\(52\) | 18027.8 | − | 8019.92i | 0.924557 | − | 0.411303i | ||||
\(53\) | 6020.60 | − | 14535.0i | 0.294409 | − | 0.710765i | −0.705589 | − | 0.708621i | \(-0.749318\pi\) |
0.999998 | − | 0.00214398i | \(-0.000682451\pi\) | |||||||
\(54\) | 3613.70 | − | 9053.80i | 0.168643 | − | 0.422519i | ||||
\(55\) | 40481.5 | − | 40481.5i | 1.80447 | − | 1.80447i | ||||
\(56\) | −6054.38 | + | 6543.61i | −0.257988 | + | 0.278835i | ||||
\(57\) | 20426.6 | + | 20426.6i | 0.832740 | + | 0.832740i | ||||
\(58\) | −12692.1 | + | 5450.66i | −0.495407 | + | 0.212755i | ||||
\(59\) | 23617.0 | + | 9782.48i | 0.883272 | + | 0.365863i | 0.777765 | − | 0.628555i | \(-0.216353\pi\) |
0.105507 | + | 0.994419i | \(0.466353\pi\) | |||||||
\(60\) | −1775.00 | − | 68580.3i | −0.0636531 | − | 2.45935i | ||||
\(61\) | −5033.79 | − | 12152.6i | −0.173209 | − | 0.418164i | 0.813306 | − | 0.581837i | \(-0.197666\pi\) |
−0.986515 | + | 0.163673i | \(0.947666\pi\) | |||||||
\(62\) | −626.516 | − | 48421.3i | −0.0206992 | − | 1.59977i | ||||
\(63\) | 15557.1 | 0.493831 | ||||||||
\(64\) | −32669.3 | + | 2541.19i | −0.996988 | + | 0.0775508i | ||||
\(65\) | −55915.6 | −1.64153 | ||||||||
\(66\) | 1092.30 | + | 84420.0i | 0.0308661 | + | 2.38553i | ||||
\(67\) | −9197.86 | − | 22205.6i | −0.250322 | − | 0.604332i | 0.747908 | − | 0.663803i | \(-0.231059\pi\) |
−0.998230 | + | 0.0594712i | \(0.981059\pi\) | |||||||
\(68\) | −734.543 | − | 28380.4i | −0.0192639 | − | 0.744297i | ||||
\(69\) | 65063.1 | + | 26950.0i | 1.64517 | + | 0.681453i | ||||
\(70\) | 23213.4 | − | 9969.08i | 0.566231 | − | 0.243170i | ||||
\(71\) | −16869.4 | − | 16869.4i | −0.397150 | − | 0.397150i | 0.480076 | − | 0.877227i | \(-0.340609\pi\) |
−0.877227 | + | 0.480076i | \(0.840609\pi\) | |||||||
\(72\) | 41973.0 | + | 38834.9i | 0.954199 | + | 0.882859i | ||||
\(73\) | 49780.4 | − | 49780.4i | 1.09333 | − | 1.09333i | 0.0981602 | − | 0.995171i | \(-0.468704\pi\) |
0.995171 | − | 0.0981602i | \(-0.0312958\pi\) | |||||||
\(74\) | 1663.57 | − | 4167.93i | 0.0353152 | − | 0.0884792i | ||||
\(75\) | −46126.6 | + | 111360.i | −0.946888 | + | 2.28599i | ||||
\(76\) | −35726.1 | + | 15893.3i | −0.709499 | + | 0.315631i | ||||
\(77\) | −28724.1 | + | 11897.9i | −0.552102 | + | 0.228688i | ||||
\(78\) | 57548.7 | − | 59057.4i | 1.07102 | − | 1.09910i | ||||
\(79\) | 6272.51i | 0.113077i | 0.998400 | + | 0.0565384i | \(0.0180063\pi\) | ||||
−0.998400 | + | 0.0565384i | \(0.981994\pi\) | |||||||
\(80\) | 87515.1 | + | 31050.5i | 1.52883 | + | 0.542431i | ||||
\(81\) | 36022.3i | 0.610040i | ||||||||
\(82\) | −41527.2 | − | 40466.3i | −0.682021 | − | 0.664597i | ||||
\(83\) | −13878.0 | + | 5748.46i | −0.221122 | + | 0.0915918i | −0.490494 | − | 0.871444i | \(-0.663184\pi\) |
0.269372 | + | 0.963036i | \(0.413184\pi\) | |||||||
\(84\) | −13362.1 | + | 34778.0i | −0.206622 | + | 0.537782i | ||||
\(85\) | −30788.1 | + | 74329.2i | −0.462207 | + | 1.11587i | ||||
\(86\) | −23318.6 | − | 9307.27i | −0.339982 | − | 0.135699i | ||||
\(87\) | −40818.9 | + | 40818.9i | −0.578181 | + | 0.578181i | ||||
\(88\) | −107198. | − | 39602.8i | −1.47563 | − | 0.545154i | ||||
\(89\) | 6856.68 | + | 6856.68i | 0.0917570 | + | 0.0917570i | 0.751495 | − | 0.659738i | \(-0.229333\pi\) |
−0.659738 | + | 0.751495i | \(0.729333\pi\) | |||||||
\(90\) | −63945.2 | − | 148899.i | −0.832150 | − | 1.93769i | ||||
\(91\) | 28054.8 | + | 11620.7i | 0.355143 | + | 0.147105i | ||||
\(92\) | −65638.0 | + | 69126.0i | −0.808511 | + | 0.851475i | ||||
\(93\) | −77446.5 | − | 186972.i | −0.928527 | − | 2.24166i | ||||
\(94\) | 34626.5 | − | 448.027i | 0.404193 | − | 0.00522979i | ||||
\(95\) | 110809. | 1.25970 | ||||||||
\(96\) | −122866. | + | 60475.0i | −1.36068 | + | 0.669727i | ||||
\(97\) | 178016. | 1.92101 | 0.960505 | − | 0.278261i | \(-0.0897581\pi\) | ||||
0.960505 | + | 0.278261i | \(0.0897581\pi\) | |||||||
\(98\) | 81348.0 | − | 1052.55i | 0.855622 | − | 0.0110708i | ||||
\(99\) | 76317.3 | + | 184246.i | 0.782591 | + | 1.88934i | ||||
\(100\) | −118313. | − | 112344.i | −1.18313 | − | 1.12344i | ||||
\(101\) | −175482. | − | 72687.1i | −1.71171 | − | 0.709012i | −0.999978 | − | 0.00655769i | \(-0.997913\pi\) |
−0.711729 | − | 0.702455i | \(-0.752087\pi\) | |||||||
\(102\) | −46818.3 | − | 109018.i | −0.445569 | − | 1.03752i | ||||
\(103\) | −36102.4 | − | 36102.4i | −0.335307 | − | 0.335307i | 0.519291 | − | 0.854598i | \(-0.326196\pi\) |
−0.854598 | + | 0.519291i | \(0.826196\pi\) | |||||||
\(104\) | 46683.1 | + | 101385.i | 0.423230 | + | 0.919158i | ||||
\(105\) | 74656.6 | − | 74656.6i | 0.660838 | − | 0.660838i | ||||
\(106\) | 82656.3 | + | 32991.1i | 0.714515 | + | 0.285188i | ||||
\(107\) | −2385.83 | + | 5759.91i | −0.0201456 | + | 0.0486359i | −0.933632 | − | 0.358233i | \(-0.883379\pi\) |
0.913487 | + | 0.406869i | \(0.133379\pi\) | |||||||
\(108\) | 51476.2 | + | 19777.8i | 0.424666 | + | 0.163162i | ||||
\(109\) | −138890. | + | 57530.1i | −1.11971 | + | 0.463798i | −0.864270 | − | 0.503027i | \(-0.832219\pi\) |
−0.255437 | + | 0.966826i | \(0.582219\pi\) | |||||||
\(110\) | 231942. | + | 226016.i | 1.82767 | + | 1.78097i | ||||
\(111\) | − | 18754.7i | − | 0.144478i | ||||||
\(112\) | −37456.2 | − | 33767.0i | −0.282149 | − | 0.254359i | ||||
\(113\) | 206544.i | 1.52165i | 0.648955 | + | 0.760827i | \(0.275207\pi\) | ||||
−0.648955 | + | 0.760827i | \(0.724793\pi\) | |||||||
\(114\) | −114046. | + | 117036.i | −0.821896 | + | 0.843444i | ||||
\(115\) | 249574. | − | 103377.i | 1.75977 | − | 0.728919i | ||||
\(116\) | −31759.9 | − | 71392.2i | −0.219146 | − | 0.492613i | ||||
\(117\) | 74539.1 | − | 179953.i | 0.503407 | − | 1.21533i | ||||
\(118\) | −53605.0 | + | 134303.i | −0.354405 | + | 0.887932i | ||||
\(119\) | 30895.0 | − | 30895.0i | 0.199995 | − | 0.199995i | ||||
\(120\) | 387786. | − | 15059.2i | 2.45832 | − | 0.0954663i | ||||
\(121\) | −167938. | − | 167938.i | −1.04276 | − | 1.04276i | ||||
\(122\) | 68371.6 | − | 29362.4i | 0.415888 | − | 0.178605i | ||||
\(123\) | −223875. | − | 92732.0i | −1.33427 | − | 0.552671i | ||||
\(124\) | 273843. | − | 7087.62i | 1.59937 | − | 0.0413949i | ||||
\(125\) | 68488.7 | + | 165346.i | 0.392052 | + | 0.946498i | ||||
\(126\) | 1138.58 | + | 87997.1i | 0.00638907 | + | 0.493790i | ||||
\(127\) | −46335.9 | −0.254922 | −0.127461 | − | 0.991844i | \(-0.540683\pi\) | ||||
−0.127461 | + | 0.991844i | \(0.540683\pi\) | |||||||
\(128\) | −16764.9 | − | 184604.i | −0.0904431 | − | 0.995902i | ||||
\(129\) | −104928. | −0.555158 | ||||||||
\(130\) | −4092.30 | − | 316280.i | −0.0212378 | − | 1.64140i | ||||
\(131\) | −71834.0 | − | 173423.i | −0.365722 | − | 0.882932i | −0.994441 | − | 0.105299i | \(-0.966420\pi\) |
0.628718 | − | 0.777633i | \(-0.283580\pi\) | |||||||
\(132\) | −477432. | + | 12356.9i | −2.38493 | + | 0.0617269i | ||||
\(133\) | −55596.9 | − | 23029.0i | −0.272535 | − | 0.112887i | ||||
\(134\) | 124930. | − | 53651.7i | 0.601042 | − | 0.258120i | ||||
\(135\) | −110502. | − | 110502.i | −0.521839 | − | 0.521839i | ||||
\(136\) | 160477. | − | 6231.93i | 0.743986 | − | 0.0288919i | ||||
\(137\) | 93728.5 | − | 93728.5i | 0.426649 | − | 0.426649i | −0.460836 | − | 0.887485i | \(-0.652451\pi\) |
0.887485 | + | 0.460836i | \(0.152451\pi\) | |||||||
\(138\) | −147678. | + | 369994.i | −0.660111 | + | 1.65385i | ||||
\(139\) | 4662.51 | − | 11256.3i | 0.0204684 | − | 0.0494150i | −0.913315 | − | 0.407254i | \(-0.866486\pi\) |
0.933783 | + | 0.357839i | \(0.116486\pi\) | |||||||
\(140\) | 58087.8 | + | 130574.i | 0.250475 | + | 0.563037i | ||||
\(141\) | 133706. | − | 55382.7i | 0.566372 | − | 0.234599i | ||||
\(142\) | 94185.3 | − | 96654.6i | 0.391979 | − | 0.402255i | ||||
\(143\) | 389265.i | 1.59186i | ||||||||
\(144\) | −216593. | + | 240258.i | −0.870440 | + | 0.965541i | ||||
\(145\) | 221433.i | 0.874625i | ||||||||
\(146\) | 285220. | + | 277934.i | 1.10738 | + | 1.07909i | ||||
\(147\) | 314115. | − | 130111.i | 1.19893 | − | 0.496614i | ||||
\(148\) | 23697.2 | + | 9104.75i | 0.0889287 | + | 0.0341675i | ||||
\(149\) | −28242.0 | + | 68182.3i | −0.104215 | + | 0.251597i | −0.967382 | − | 0.253321i | \(-0.918477\pi\) |
0.863167 | + | 0.504918i | \(0.168477\pi\) | |||||||
\(150\) | −633268. | − | 252760.i | −2.29805 | − | 0.917233i | ||||
\(151\) | −104810. | + | 104810.i | −0.374076 | + | 0.374076i | −0.868960 | − | 0.494883i | \(-0.835211\pi\) |
0.494883 | + | 0.868960i | \(0.335211\pi\) | |||||||
\(152\) | −92513.2 | − | 200917.i | −0.324784 | − | 0.705356i | ||||
\(153\) | −198171. | − | 198171.i | −0.684403 | − | 0.684403i | ||||
\(154\) | −69401.3 | − | 161603.i | −0.235812 | − | 0.549097i | ||||
\(155\) | −717204. | − | 297076.i | −2.39780 | − | 0.993203i | ||||
\(156\) | 338263. | + | 321195.i | 1.11287 | + | 1.05671i | ||||
\(157\) | 4334.90 | + | 10465.4i | 0.0140356 | + | 0.0338848i | 0.930742 | − | 0.365677i | \(-0.119162\pi\) |
−0.916706 | + | 0.399561i | \(0.869162\pi\) | |||||||
\(158\) | −35479.7 | + | 459.066i | −0.113067 | + | 0.00146296i | ||||
\(159\) | 371933. | 1.16674 | ||||||||
\(160\) | −169229. | + | 497291.i | −0.522606 | + | 1.53572i | ||||
\(161\) | −146704. | −0.446045 | ||||||||
\(162\) | −203756. | + | 2636.36i | −0.609989 | + | 0.00789256i | ||||
\(163\) | 134068. | + | 323669.i | 0.395236 | + | 0.954184i | 0.988780 | + | 0.149382i | \(0.0477285\pi\) |
−0.593543 | + | 0.804802i | \(0.702271\pi\) | |||||||
\(164\) | 225853. | − | 237855.i | 0.655718 | − | 0.690562i | ||||
\(165\) | 1.25041e6 | + | 517936.i | 3.57554 | + | 1.48104i | ||||
\(166\) | −33531.2 | − | 78078.7i | −0.0944450 | − | 0.219919i | ||||
\(167\) | −357865. | − | 357865.i | −0.992953 | − | 0.992953i | 0.00702260 | − | 0.999975i | \(-0.497765\pi\) |
−0.999975 | + | 0.00702260i | \(0.997765\pi\) | |||||||
\(168\) | −197695. | − | 73036.0i | −0.540410 | − | 0.199647i | ||||
\(169\) | 6294.54 | − | 6294.54i | 0.0169530 | − | 0.0169530i | ||||
\(170\) | −422687. | − | 168710.i | −1.12175 | − | 0.447731i | ||||
\(171\) | −147716. | + | 356618.i | −0.386311 | + | 0.932638i | ||||
\(172\) | 50938.8 | − | 132580.i | 0.131289 | − | 0.341709i | ||||
\(173\) | 116586. | − | 48291.4i | 0.296163 | − | 0.122675i | −0.229654 | − | 0.973272i | \(-0.573760\pi\) |
0.525817 | + | 0.850598i | \(0.323760\pi\) | |||||||
\(174\) | −233875. | − | 227900.i | −0.585613 | − | 0.570652i | ||||
\(175\) | − | 251094.i | − | 0.619784i | ||||||
\(176\) | 216163. | − | 609249.i | 0.526017 | − | 1.48256i | ||||
\(177\) | 604330.i | 1.44991i | ||||||||
\(178\) | −38282.2 | + | 39285.8i | −0.0905622 | + | 0.0929364i | ||||
\(179\) | −14335.6 | + | 5938.00i | −0.0334413 | + | 0.0138518i | −0.399341 | − | 0.916802i | \(-0.630761\pi\) |
0.365900 | + | 0.930654i | \(0.380761\pi\) | |||||||
\(180\) | 837548. | − | 372596.i | 1.92676 | − | 0.857150i | ||||
\(181\) | −158322. | + | 382223.i | −0.359207 | + | 0.867203i | 0.636205 | + | 0.771520i | \(0.280503\pi\) |
−0.995412 | + | 0.0956824i | \(0.969497\pi\) | |||||||
\(182\) | −63677.7 | + | 159539.i | −0.142498 | + | 0.357017i | ||||
\(183\) | 219890. | − | 219890.i | 0.485375 | − | 0.485375i | ||||
\(184\) | −395807. | − | 366215.i | −0.861864 | − | 0.797427i | ||||
\(185\) | −50869.8 | − | 50869.8i | −0.109278 | − | 0.109278i | ||||
\(186\) | 1.05192e6 | − | 451751.i | 2.22946 | − | 0.957451i | ||||
\(187\) | 517454. | + | 214336.i | 1.08210 | + | 0.448220i | ||||
\(188\) | 5068.42 | + | 195828.i | 0.0104587 | + | 0.404091i | ||||
\(189\) | 32477.6 | + | 78407.9i | 0.0661347 | + | 0.159663i | ||||
\(190\) | 8109.82 | + | 626780.i | 0.0162977 | + | 1.25960i | ||||
\(191\) | −394137. | −0.781743 | −0.390871 | − | 0.920445i | \(-0.627826\pi\) | ||||
−0.390871 | + | 0.920445i | \(0.627826\pi\) | |||||||
\(192\) | −351062. | − | 690553.i | −0.687276 | − | 1.35190i | ||||
\(193\) | −211439. | −0.408593 | −0.204297 | − | 0.978909i | \(-0.565491\pi\) | ||||
−0.204297 | + | 0.978909i | \(0.565491\pi\) | |||||||
\(194\) | 13028.5 | + | 1.00693e6i | 0.0248536 | + | 1.92085i | ||||
\(195\) | −505868. | − | 1.22127e6i | −0.952688 | − | 2.29999i | ||||
\(196\) | 11907.2 | + | 460058.i | 0.0221397 | + | 0.855407i | ||||
\(197\) | 5850.38 | + | 2423.31i | 0.0107403 | + | 0.00444880i | 0.388047 | − | 0.921640i | \(-0.373150\pi\) |
−0.377307 | + | 0.926088i | \(0.623150\pi\) | |||||||
\(198\) | −1.03658e6 | + | 445164.i | −1.87906 | + | 0.806969i | ||||
\(199\) | 313418. | + | 313418.i | 0.561037 | + | 0.561037i | 0.929602 | − | 0.368565i | \(-0.120151\pi\) |
−0.368565 | + | 0.929602i | \(0.620151\pi\) | |||||||
\(200\) | 626799. | − | 677448.i | 1.10804 | − | 1.19757i | ||||
\(201\) | 401788. | − | 401788.i | 0.701466 | − | 0.701466i | ||||
\(202\) | 398303. | − | 997913.i | 0.686807 | − | 1.72074i | ||||
\(203\) | 46019.3 | − | 111100.i | 0.0783791 | − | 0.189224i | ||||
\(204\) | 613222. | − | 272801.i | 1.03167 | − | 0.458955i | ||||
\(205\) | −858758. | + | 355709.i | −1.42720 | + | 0.591167i | ||||
\(206\) | 201567. | − | 206851.i | 0.330941 | − | 0.339617i | ||||
\(207\) | 941013.i | 1.52641i | ||||||||
\(208\) | −570055. | + | 271478.i | −0.913605 | + | 0.435087i | ||||
\(209\) | − | 771416.i | − | 1.22158i | ||||||
\(210\) | 427750. | + | 416822.i | 0.669332 | + | 0.652233i | ||||
\(211\) | 434959. | − | 180166.i | 0.672577 | − | 0.278590i | −0.0201433 | − | 0.999797i | \(-0.506412\pi\) |
0.692720 | + | 0.721207i | \(0.256412\pi\) | |||||||
\(212\) | −180561. | + | 469950.i | −0.275920 | + | 0.718145i | ||||
\(213\) | 215834. | − | 521069.i | 0.325965 | − | 0.786949i | ||||
\(214\) | −32754.9 | − | 13073.6i | −0.0488924 | − | 0.0195147i | ||||
\(215\) | −284604. | + | 284604.i | −0.419899 | + | 0.419899i | ||||
\(216\) | −108103. | + | 292617.i | −0.157654 | + | 0.426741i | ||||
\(217\) | 298106. | + | 298106.i | 0.429756 | + | 0.429756i | ||||
\(218\) | −335577. | − | 781404.i | −0.478246 | − | 1.11361i | ||||
\(219\) | 1.53764e6 | + | 636910.i | 2.16642 | + | 0.897362i | ||||
\(220\) | −1.26146e6 | + | 1.32849e6i | −1.75718 | + | 1.85056i | ||||
\(221\) | −209342. | − | 505397.i | −0.288321 | − | 0.696068i | ||||
\(222\) | 106084. | − | 1372.60i | 0.144466 | − | 0.00186923i | ||||
\(223\) | 916051. | 1.23355 | 0.616776 | − | 0.787139i | \(-0.288438\pi\) | ||||
0.616776 | + | 0.787139i | \(0.288438\pi\) | |||||||
\(224\) | 188258. | − | 214338.i | 0.250687 | − | 0.285417i | ||||
\(225\) | −1.61060e6 | −2.12096 | ||||||||
\(226\) | −1.16829e6 | + | 15116.3i | −1.52153 | + | 0.0196868i | ||||
\(227\) | −273757. | − | 660908.i | −0.352615 | − | 0.851288i | −0.996296 | − | 0.0859940i | \(-0.972593\pi\) |
0.643680 | − | 0.765294i | \(-0.277407\pi\) | |||||||
\(228\) | −670345. | − | 636521.i | −0.854007 | − | 0.810915i | ||||
\(229\) | 848763. | + | 351569.i | 1.06954 | + | 0.443018i | 0.846829 | − | 0.531866i | \(-0.178509\pi\) |
0.222713 | + | 0.974884i | \(0.428509\pi\) | |||||||
\(230\) | 603005. | + | 1.40412e6i | 0.751626 | + | 1.75019i | ||||
\(231\) | −519733. | − | 519733.i | −0.640841 | − | 0.640841i | ||||
\(232\) | 401497. | − | 184871.i | 0.489737 | − | 0.225501i | ||||
\(233\) | −954436. | + | 954436.i | −1.15175 | + | 1.15175i | −0.165544 | + | 0.986202i | \(0.552938\pi\) |
−0.986202 | + | 0.165544i | \(0.947062\pi\) | |||||||
\(234\) | 1.02334e6 | + | 408451.i | 1.22174 | + | 0.487641i | ||||
\(235\) | 212441. | − | 512879.i | 0.250940 | − | 0.605822i | ||||
\(236\) | −763590. | − | 293381.i | −0.892443 | − | 0.342888i | ||||
\(237\) | −137000. | + | 56747.3i | −0.158435 | + | 0.0656258i | ||||
\(238\) | 177015. | + | 172493.i | 0.202566 | + | 0.197391i | ||||
\(239\) | 1.25680e6i | 1.42322i | 0.702575 | + | 0.711610i | \(0.252034\pi\) | ||||
−0.702575 | + | 0.711610i | \(0.747966\pi\) | |||||||
\(240\) | 113562. | + | 2.19236e6i | 0.127264 | + | 2.45688i | ||||
\(241\) | − | 618794.i | − | 0.686283i | −0.939284 | − | 0.343142i | \(-0.888509\pi\) | ||
0.939284 | − | 0.343142i | \(-0.111491\pi\) | |||||||
\(242\) | 937630. | − | 962212.i | 1.02918 | − | 1.05617i | ||||
\(243\) | −1.17366e6 | + | 486145.i | −1.27504 | + | 0.528141i | ||||
\(244\) | 171089. | + | 384587.i | 0.183970 | + | 0.413542i | ||||
\(245\) | 499089. | − | 1.20491e6i | 0.531206 | − | 1.28244i | ||||
\(246\) | 508143. | − | 1.27311e6i | 0.535363 | − | 1.34131i | ||||
\(247\) | −532764. | + | 532764.i | −0.555639 | + | 0.555639i | ||||
\(248\) | 60132.1 | + | 1.54844e6i | 0.0620836 | + | 1.59870i | ||||
\(249\) | −251109. | − | 251109.i | −0.256663 | − | 0.256663i | ||||
\(250\) | −930250. | + | 399500.i | −0.941347 | + | 0.404265i | ||||
\(251\) | −1.72907e6 | − | 716203.i | −1.73232 | − | 0.717549i | −0.999303 | − | 0.0373359i | \(-0.988113\pi\) |
−0.733014 | − | 0.680213i | \(-0.761887\pi\) | |||||||
\(252\) | −497662. | + | 12880.5i | −0.493666 | + | 0.0127771i | ||||
\(253\) | −719675. | − | 1.73745e6i | −0.706862 | − | 1.70652i | ||||
\(254\) | −3391.19 | − | 262093.i | −0.00329813 | − | 0.254901i | ||||
\(255\) | −1.90199e6 | −1.83172 | ||||||||
\(256\) | 1.04296e6 | − | 108339.i | 0.994648 | − | 0.103320i | ||||
\(257\) | 1.87726e6 | 1.77293 | 0.886465 | − | 0.462796i | \(-0.153154\pi\) | ||||
0.886465 | + | 0.462796i | \(0.153154\pi\) | |||||||
\(258\) | −7679.37 | − | 593512.i | −0.00718251 | − | 0.555112i | ||||
\(259\) | 14951.1 | + | 36095.2i | 0.0138492 | + | 0.0334349i | ||||
\(260\) | 1.78870e6 | − | 46295.2i | 1.64098 | − | 0.0424720i | ||||
\(261\) | −712637. | − | 295184.i | −0.647541 | − | 0.268220i | ||||
\(262\) | 975687. | − | 419013.i | 0.878127 | − | 0.377115i | ||||
\(263\) | 329295. | + | 329295.i | 0.293559 | + | 0.293559i | 0.838484 | − | 0.544926i | \(-0.183442\pi\) |
−0.544926 | + | 0.838484i | \(0.683442\pi\) | |||||||
\(264\) | −104837. | − | 2.69963e6i | −0.0925775 | − | 2.38394i | ||||
\(265\) | 1.00882e6 | − | 1.00882e6i | 0.882471 | − | 0.882471i | ||||
\(266\) | 126192. | − | 316163.i | 0.109352 | − | 0.273972i | ||||
\(267\) | −87727.0 | + | 211792.i | −0.0753105 | + | 0.181816i | ||||
\(268\) | 312618. | + | 702726.i | 0.265875 | + | 0.597653i | ||||
\(269\) | 69674.9 | − | 28860.3i | 0.0587077 | − | 0.0243175i | −0.353136 | − | 0.935572i | \(-0.614885\pi\) |
0.411844 | + | 0.911254i | \(0.364885\pi\) | |||||||
\(270\) | 616955. | − | 633129.i | 0.515043 | − | 0.528546i | ||||
\(271\) | 938571.i | 0.776325i | 0.921591 | + | 0.388163i | \(0.126890\pi\) | ||||
−0.921591 | + | 0.388163i | \(0.873110\pi\) | |||||||
\(272\) | 46995.0 | + | 907261.i | 0.0385150 | + | 0.743550i | ||||
\(273\) | 717887.i | 0.582975i | ||||||||
\(274\) | 537024. | + | 523304.i | 0.432133 | + | 0.421093i | ||||
\(275\) | 2.97375e6 | − | 1.23177e6i | 2.37123 | − | 0.982194i | ||||
\(276\) | −2.10363e6 | − | 808243.i | −1.66225 | − | 0.638659i | ||||
\(277\) | −454532. | + | 1.09734e6i | −0.355931 | + | 0.859293i | 0.639933 | + | 0.768431i | \(0.278962\pi\) |
−0.995864 | + | 0.0908617i | \(0.971038\pi\) | |||||||
\(278\) | 64011.2 | + | 25549.1i | 0.0496757 | + | 0.0198273i | ||||
\(279\) | 1.91216e6 | − | 1.91216e6i | 1.47066 | − | 1.47066i | ||||
\(280\) | −734326. | + | 338123.i | −0.559749 | + | 0.257739i | ||||
\(281\) | 305385. | + | 305385.i | 0.230718 | + | 0.230718i | 0.812992 | − | 0.582274i | \(-0.197837\pi\) |
−0.582274 | + | 0.812992i | \(0.697837\pi\) | |||||||
\(282\) | 323051. | + | 752237.i | 0.241907 | + | 0.563290i | ||||
\(283\) | −121497. | − | 50325.6i | −0.0901775 | − | 0.0373527i | 0.337139 | − | 0.941455i | \(-0.390541\pi\) |
−0.427316 | + | 0.904102i | \(0.640541\pi\) | |||||||
\(284\) | 553608. | + | 525674.i | 0.407293 | + | 0.386742i | ||||
\(285\) | 1.00249e6 | + | 2.42023e6i | 0.731087 | + | 1.76500i | ||||
\(286\) | −2.20183e6 | + | 28489.1i | −1.59173 | + | 0.0205951i | ||||
\(287\) | 504794. | 0.361751 | ||||||||
\(288\) | −1.37484e6 | − | 1.20755e6i | −0.976722 | − | 0.857875i | ||||
\(289\) | 632760. | 0.445651 | ||||||||
\(290\) | −1.25251e6 | + | 16206.0i | −0.874552 | + | 0.0113157i | ||||
\(291\) | 1.61051e6 | + | 3.88812e6i | 1.11489 | + | 2.69158i | ||||
\(292\) | −1.55123e6 | + | 1.63366e6i | −1.06468 | + | 1.12125i | ||||
\(293\) | −1.60368e6 | − | 664265.i | −1.09131 | − | 0.452035i | −0.236846 | − | 0.971547i | \(-0.576114\pi\) |
−0.854463 | + | 0.519512i | \(0.826114\pi\) | |||||||
\(294\) | 758944. | + | 1.76723e6i | 0.512084 | + | 1.19241i | ||||
\(295\) | 1.63917e6 | + | 1.63917e6i | 1.09665 | + | 1.09665i | ||||
\(296\) | −49765.6 | + | 134707.i | −0.0330141 | + | 0.0893633i | ||||
\(297\) | −769277. | + | 769277.i | −0.506048 | + | 0.506048i | ||||
\(298\) | −387732. | − | 154758.i | −0.252925 | − | 0.100951i | ||||
\(299\) | −702906. | + | 1.69697e6i | −0.454694 | + | 1.09773i | ||||
\(300\) | 1.38336e6 | − | 3.60050e6i | 0.887424 | − | 2.30972i | ||||
\(301\) | 201944. | − | 83647.8i | 0.128474 | − | 0.0532155i | ||||
\(302\) | −600516. | − | 585174.i | −0.378885 | − | 0.369205i | ||||
\(303\) | − | 4.49037e6i | − | 2.80980i | ||||||
\(304\) | 1.12969e6 | − | 537994.i | 0.701095 | − | 0.333883i | ||||
\(305\) | − | 1.19285e6i | − | 0.734236i | ||||||
\(306\) | 1.10643e6 | − | 1.13543e6i | 0.675491 | − | 0.693200i | ||||
\(307\) | −2.38022e6 | + | 985919.i | −1.44136 | + | 0.597029i | −0.960126 | − | 0.279566i | \(-0.909809\pi\) |
−0.481229 | + | 0.876595i | \(0.659809\pi\) | |||||||
\(308\) | 909011. | − | 404387.i | 0.546000 | − | 0.242896i | ||||
\(309\) | 461908. | − | 1.11514e6i | 0.275207 | − | 0.664408i | ||||
\(310\) | 1.62788e6 | − | 4.07852e6i | 0.962097 | − | 2.41045i | ||||
\(311\) | 131992. | − | 131992.i | 0.0773829 | − | 0.0773829i | −0.667356 | − | 0.744739i | \(-0.732574\pi\) |
0.744739 | + | 0.667356i | \(0.232574\pi\) | |||||||
\(312\) | −1.79205e6 | + | 1.93685e6i | −1.04223 | + | 1.12645i | ||||
\(313\) | −1.90377e6 | − | 1.90377e6i | −1.09839 | − | 1.09839i | −0.994600 | − | 0.103786i | \(-0.966904\pi\) |
−0.103786 | − | 0.994600i | \(-0.533096\pi\) | |||||||
\(314\) | −58878.8 | + | 25285.7i | −0.0337004 | + | 0.0144728i | ||||
\(315\) | 1.30339e6 | + | 539882.i | 0.740114 | + | 0.306565i | ||||
\(316\) | −5193.31 | − | 200653.i | −0.00292568 | − | 0.113039i | ||||
\(317\) | 888588. | + | 2.14524e6i | 0.496652 | + | 1.19902i | 0.951276 | + | 0.308341i | \(0.0997738\pi\) |
−0.454624 | + | 0.890684i | \(0.650226\pi\) | |||||||
\(318\) | 27220.7 | + | 2.10380e6i | 0.0150949 | + | 1.16664i | ||||
\(319\) | 1.54154e6 | 0.848159 | ||||||||
\(320\) | −2.82525e6 | − | 920827.i | −1.54235 | − | 0.502693i | ||||
\(321\) | −147389. | −0.0798367 | ||||||||
\(322\) | −10736.9 | − | 829816.i | −0.00577082 | − | 0.446007i | ||||
\(323\) | 414859. | + | 1.00156e6i | 0.221256 | + | 0.534158i | ||||
\(324\) | −29824.6 | − | 1.15233e6i | −0.0157838 | − | 0.609836i | ||||
\(325\) | −2.90446e6 | − | 1.20307e6i | −1.52531 | − | 0.631803i | ||||
\(326\) | −1.82098e6 | + | 782029.i | −0.948991 | + | 0.407548i | ||||
\(327\) | −2.51307e6 | − | 2.51307e6i | −1.29968 | − | 1.29968i | ||||
\(328\) | 1.36193e6 | + | 1.26010e6i | 0.698988 | + | 0.646729i | ||||
\(329\) | −213178. | + | 213178.i | −0.108581 | + | 0.108581i | ||||
\(330\) | −2.83813e6 | + | 7.11069e6i | −1.43465 | + | 3.59441i | ||||
\(331\) | −45893.7 | + | 110797.i | −0.0230241 | + | 0.0555852i | −0.934973 | − | 0.354718i | \(-0.884577\pi\) |
0.911949 | + | 0.410303i | \(0.134577\pi\) | |||||||
\(332\) | 439189. | − | 195380.i | 0.218678 | − | 0.0972823i | ||||
\(333\) | 231527. | − | 95901.7i | 0.114417 | − | 0.0473932i | ||||
\(334\) | 1.99803e6 | − | 2.05041e6i | 0.980023 | − | 1.00572i | ||||
\(335\) | − | 2.17960e6i | − | 1.06112i | ||||||
\(336\) | 398651. | − | 1.12359e6i | 0.192639 | − | 0.542948i | ||||
\(337\) | 2.49201e6i | 1.19529i | 0.801760 | + | 0.597646i | \(0.203897\pi\) | ||||
−0.801760 | + | 0.597646i | \(0.796103\pi\) | |||||||
\(338\) | 36065.0 | + | 35143.6i | 0.0171709 | + | 0.0167323i | ||||
\(339\) | −4.51120e6 | + | 1.86860e6i | −2.13203 | + | 0.883115i | ||||
\(340\) | 923350. | − | 2.40323e6i | 0.433181 | − | 1.12745i | ||||
\(341\) | −2.06814e6 | + | 4.99292e6i | −0.963149 | + | 2.32525i | ||||
\(342\) | −2.02798e6 | − | 809438.i | −0.937558 | − | 0.374213i | ||||
\(343\) | −1.08610e6 | + | 1.08610e6i | −0.498465 | + | 0.498465i | ||||
\(344\) | 753650. | + | 278426.i | 0.343379 | + | 0.126857i | ||||
\(345\) | 4.51579e6 | + | 4.51579e6i | 2.04261 | + | 2.04261i | ||||
\(346\) | 281687. | + | 655919.i | 0.126496 | + | 0.294551i | ||||
\(347\) | −1.68323e6 | − | 697215.i | −0.750444 | − | 0.310844i | −0.0255215 | − | 0.999674i | \(-0.508125\pi\) |
−0.724923 | + | 0.688830i | \(0.758125\pi\) | |||||||
\(348\) | 1.27197e6 | − | 1.33956e6i | 0.563028 | − | 0.592947i | ||||
\(349\) | −537038. | − | 1.29652e6i | −0.236016 | − | 0.569793i | 0.760848 | − | 0.648931i | \(-0.224783\pi\) |
−0.996864 | + | 0.0791373i | \(0.974783\pi\) | |||||||
\(350\) | 1.42028e6 | − | 18376.8i | 0.619733 | − | 0.00801863i | ||||
\(351\) | 1.06257e6 | 0.460353 | ||||||||
\(352\) | 3.46197e6 | + | 1.17811e6i | 1.48924 | + | 0.506792i | ||||
\(353\) | 3.88056e6 | 1.65752 | 0.828759 | − | 0.559606i | \(-0.189048\pi\) | ||||
0.828759 | + | 0.559606i | \(0.189048\pi\) | |||||||
\(354\) | −3.41832e6 | + | 44229.1i | −1.44979 | + | 0.0187586i | ||||
\(355\) | −827914. | − | 1.99876e6i | −0.348670 | − | 0.841763i | ||||
\(356\) | −225017. | − | 213663.i | −0.0941003 | − | 0.0893522i | ||||
\(357\) | 954295. | + | 395282.i | 0.396289 | + | 0.164148i | ||||
\(358\) | −34636.8 | − | 80653.0i | −0.0142833 | − | 0.0332593i | ||||
\(359\) | 1.38941e6 | + | 1.38941e6i | 0.568975 | + | 0.568975i | 0.931841 | − | 0.362866i | \(-0.118202\pi\) |
−0.362866 | + | 0.931841i | \(0.618202\pi\) | |||||||
\(360\) | 2.16884e6 | + | 4.71022e6i | 0.882006 | + | 1.91551i | ||||
\(361\) | −695074. | + | 695074.i | −0.280713 | + | 0.280713i | ||||
\(362\) | −2.17359e6 | − | 867556.i | −0.871777 | − | 0.347957i | ||||
\(363\) | 2.14866e6 | − | 5.18733e6i | 0.855858 | − | 2.06622i | ||||
\(364\) | −907074. | − | 348509.i | −0.358830 | − | 0.137867i | ||||
\(365\) | 5.89819e6 | − | 2.44311e6i | 2.31732 | − | 0.959867i | ||||
\(366\) | 1.25987e6 | + | 1.22769e6i | 0.491614 | + | 0.479055i | ||||
\(367\) | − | 4.67878e6i | − | 1.81329i | −0.421895 | − | 0.906645i | \(-0.638635\pi\) | ||
0.421895 | − | 0.906645i | \(-0.361365\pi\) | |||||||
\(368\) | 2.04248e6 | − | 2.26564e6i | 0.786210 | − | 0.872109i | ||||
\(369\) | − | 3.23792e6i | − | 1.23794i | ||||||
\(370\) | 284016. | − | 291462.i | 0.107855 | − | 0.110682i | ||||
\(371\) | −715821. | + | 296503.i | −0.270004 | + | 0.111839i | ||||
\(372\) | 2.63226e6 | + | 5.91699e6i | 0.986216 | + | 2.21689i | ||||
\(373\) | 925872. | − | 2.23525e6i | 0.344571 | − | 0.831868i | −0.652670 | − | 0.757642i | \(-0.726351\pi\) |
0.997241 | − | 0.0742263i | \(-0.0236487\pi\) | |||||||
\(374\) | −1.17450e6 | + | 2.94260e6i | −0.434183 | + | 1.08781i | ||||
\(375\) | −2.99178e6 | + | 2.99178e6i | −1.09863 | + | 1.09863i | ||||
\(376\) | −1.10731e6 | + | 43001.0i | −0.403922 | + | 0.0156859i | ||||
\(377\) | −1.06463e6 | − | 1.06463e6i | −0.385786 | − | 0.385786i | ||||
\(378\) | −441128. | + | 189444.i | −0.158794 | + | 0.0681948i | ||||
\(379\) | 183201. | + | 75884.4i | 0.0655134 | + | 0.0271366i | 0.415200 | − | 0.909730i | \(-0.363712\pi\) |
−0.349686 | + | 0.936867i | \(0.613712\pi\) | |||||||
\(380\) | −3.54471e6 | + | 91744.4i | −1.25928 | + | 0.0325927i | ||||
\(381\) | −419200. | − | 1.01204e6i | −0.147948 | − | 0.357178i | ||||
\(382\) | −28845.7 | − | 2.22939e6i | −0.0101140 | − | 0.781678i | ||||
\(383\) | −3.96595e6 | −1.38150 | −0.690749 | − | 0.723095i | \(-0.742719\pi\) | ||||
−0.690749 | + | 0.723095i | \(0.742719\pi\) | |||||||
\(384\) | 3.88034e6 | − | 2.03628e6i | 1.34289 | − | 0.704709i | ||||
\(385\) | −2.81942e6 | −0.969412 | ||||||||
\(386\) | −15474.6 | − | 1.19598e6i | −0.00528628 | − | 0.408559i | ||||
\(387\) | −536547. | − | 1.29534e6i | −0.182108 | − | 0.439649i | ||||
\(388\) | −5.69461e6 | + | 147388.i | −1.92037 | + | 0.0497030i | ||||
\(389\) | −2.89616e6 | − | 1.19963e6i | −0.970394 | − | 0.401950i | −0.159535 | − | 0.987192i | \(-0.550999\pi\) |
−0.810859 | + | 0.585242i | \(0.800999\pi\) | |||||||
\(390\) | 6.87097e6 | − | 2.95076e6i | 2.28747 | − | 0.982365i | ||||
\(391\) | 1.86876e6 | + | 1.86876e6i | 0.618175 | + | 0.618175i | ||||
\(392\) | −2.60139e6 | + | 101022.i | −0.855049 | + | 0.0332049i | ||||
\(393\) | 3.13791e6 | − | 3.13791e6i | 1.02485 | − | 1.02485i | ||||
\(394\) | −13279.0 | + | 33269.3i | −0.00430947 | + | 0.0107970i | ||||
\(395\) | −217676. | + | 525517.i | −0.0701969 | + | 0.169470i | ||||
\(396\) | −2.59388e6 | − | 5.83072e6i | −0.831213 | − | 1.86846i | ||||
\(397\) | 365080. | − | 151221.i | 0.116255 | − | 0.0481544i | −0.323798 | − | 0.946126i | \(-0.604960\pi\) |
0.440053 | + | 0.897972i | \(0.354960\pi\) | |||||||
\(398\) | −1.74987e6 | + | 1.79575e6i | −0.553732 | + | 0.568249i | ||||
\(399\) | − | 1.42266e6i | − | 0.447371i | ||||||
\(400\) | 3.87778e6 | + | 3.49583e6i | 1.21181 | + | 1.09245i | ||||
\(401\) | 2.23105e6i | 0.692866i | 0.938075 | + | 0.346433i | \(0.112607\pi\) | ||||
−0.938075 | + | 0.346433i | \(0.887393\pi\) | |||||||
\(402\) | 2.30207e6 | + | 2.24326e6i | 0.710482 | + | 0.692332i | ||||
\(403\) | 4.87659e6 | − | 2.01995e6i | 1.49573 | − | 0.619552i | ||||
\(404\) | 5.67373e6 | + | 2.17992e6i | 1.72948 | + | 0.664487i | ||||
\(405\) | −1.25009e6 | + | 3.01798e6i | −0.378707 | + | 0.914279i | ||||
\(406\) | 631795. | + | 252172.i | 0.190222 | + | 0.0759244i | ||||
\(407\) | −354138. | + | 354138.i | −0.105971 | + | 0.105971i | ||||
\(408\) | 1.58795e6 | + | 3.44865e6i | 0.472264 | + | 1.02565i | ||||
\(409\) | 735709. | + | 735709.i | 0.217469 | + | 0.217469i | 0.807431 | − | 0.589962i | \(-0.200857\pi\) |
−0.589962 | + | 0.807431i | \(0.700857\pi\) | |||||||
\(410\) | −2.07488e6 | − | 4.83143e6i | −0.609583 | − | 1.41944i | ||||
\(411\) | 2.89512e6 | + | 1.19920e6i | 0.845400 | + | 0.350176i | ||||
\(412\) | 1.18478e6 | + | 1.12500e6i | 0.343870 | + | 0.326519i | ||||
\(413\) | −481767. | − | 1.16309e6i | −0.138983 | − | 0.335535i | ||||
\(414\) | −5.32273e6 | + | 68870.0i | −1.52628 | + | 0.0197483i | ||||
\(415\) | −1.36220e6 | −0.388259 | ||||||||
\(416\) | −1.57730e6 | − | 3.20458e6i | −0.446870 | − | 0.907900i | ||||
\(417\) | 288035. | 0.0811157 | ||||||||
\(418\) | 4.36342e6 | − | 56457.7i | 1.22148 | − | 0.0158046i | ||||
\(419\) | −607994. | − | 1.46783e6i | −0.169186 | − | 0.408451i | 0.816432 | − | 0.577442i | \(-0.195949\pi\) |
−0.985618 | + | 0.168991i | \(0.945949\pi\) | |||||||
\(420\) | −2.32640e6 | + | 2.45002e6i | −0.643518 | + | 0.677714i | ||||
\(421\) | −2.28370e6 | − | 945941.i | −0.627963 | − | 0.260111i | 0.0459241 | − | 0.998945i | \(-0.485377\pi\) |
−0.673888 | + | 0.738834i | \(0.735377\pi\) | |||||||
\(422\) | 1.05092e6 | + | 2.44711e6i | 0.287269 | + | 0.668916i | ||||
\(423\) | 1.36740e6 | + | 1.36740e6i | 0.371574 | + | 0.371574i | ||||
\(424\) | −2.67143e6 | − | 986925.i | −0.721654 | − | 0.266606i | ||||
\(425\) | −3.19850e6 | + | 3.19850e6i | −0.858962 | + | 0.858962i | ||||
\(426\) | 2.96316e6 | + | 1.18270e6i | 0.791100 | + | 0.315756i | ||||
\(427\) | −247904. | + | 598493.i | −0.0657982 | + | 0.158851i | ||||
\(428\) | 71552.2 | − | 186231.i | 0.0188805 | − | 0.0491408i | ||||
\(429\) | −8.50208e6 | + | 3.52168e6i | −2.23040 | + | 0.923860i | ||||
\(430\) | −1.63066e6 | − | 1.58900e6i | −0.425297 | − | 0.414432i | ||||
\(431\) | 4.88324e6i | 1.26624i | 0.774055 | + | 0.633118i | \(0.218225\pi\) | ||||
−0.774055 | + | 0.633118i | \(0.781775\pi\) | |||||||
\(432\) | −1.66306e6 | − | 590059.i | −0.428745 | − | 0.152120i | ||||
\(433\) | 1.06421e6i | 0.272778i | 0.990655 | + | 0.136389i | \(0.0435496\pi\) | ||||
−0.990655 | + | 0.136389i | \(0.956450\pi\) | |||||||
\(434\) | −1.66438e6 | + | 1.70802e6i | −0.424160 | + | 0.435280i | ||||
\(435\) | −4.83640e6 | + | 2.00330e6i | −1.22546 | + | 0.507602i | ||||
\(436\) | 4.39536e6 | − | 1.95534e6i | 1.10733 | − | 0.492614i | ||||
\(437\) | 1.39297e6 | − | 3.36292e6i | 0.348929 | − | 0.842390i | ||||
\(438\) | −3.49007e6 | + | 8.74407e6i | −0.869258 | + | 2.17785i | ||||
\(439\) | 4.10482e6 | − | 4.10482e6i | 1.01656 | − | 1.01656i | 0.0166984 | − | 0.999861i | \(-0.494684\pi\) |
0.999861 | − | 0.0166984i | \(-0.00531552\pi\) | |||||||
\(440\) | −7.60678e6 | − | 7.03806e6i | −1.87313 | − | 1.73309i | ||||
\(441\) | 3.21244e6 | + | 3.21244e6i | 0.786571 | + | 0.786571i | ||||
\(442\) | 2.84340e6 | − | 1.22111e6i | 0.692280 | − | 0.297302i | ||||
\(443\) | 1.93576e6 | + | 801819.i | 0.468644 | + | 0.194119i | 0.604492 | − | 0.796611i | \(-0.293376\pi\) |
−0.135849 | + | 0.990730i | \(0.543376\pi\) | |||||||
\(444\) | 15527.9 | + | 599949.i | 0.00373814 | + | 0.144430i | ||||
\(445\) | 336511. | + | 812408.i | 0.0805561 | + | 0.194480i | ||||
\(446\) | 67043.1 | + | 5.18154e6i | 0.0159594 | + | 1.23345i | ||||
\(447\) | −1.74470e6 | −0.413002 | ||||||||
\(448\) | 1.22616e6 | + | 1.04917e6i | 0.288636 | + | 0.246974i | ||||
\(449\) | −518528. | −0.121382 | −0.0606912 | − | 0.998157i | \(-0.519331\pi\) | ||||
−0.0606912 | + | 0.998157i | \(0.519331\pi\) | |||||||
\(450\) | −117875. | − | 9.11018e6i | −0.0274405 | − | 2.12078i | ||||
\(451\) | 2.47632e6 | + | 5.97837e6i | 0.573279 | + | 1.38402i | ||||
\(452\) | −171007. | − | 6.60719e6i | −0.0393703 | − | 1.52114i | ||||
\(453\) | −3.23741e6 | − | 1.34098e6i | −0.741229 | − | 0.307027i | ||||
\(454\) | 3.71831e6 | − | 1.59685e6i | 0.846655 | − | 0.363599i | ||||
\(455\) | 1.94718e6 | + | 1.94718e6i | 0.440938 | + | 0.440938i | ||||
\(456\) | 3.55134e6 | − | 3.83831e6i | 0.799798 | − | 0.864427i | ||||
\(457\) | −3.04718e6 | + | 3.04718e6i | −0.682507 | + | 0.682507i | −0.960564 | − | 0.278057i | \(-0.910309\pi\) |
0.278057 | + | 0.960564i | \(0.410309\pi\) | |||||||
\(458\) | −1.92649e6 | + | 4.82665e6i | −0.429144 | + | 1.07518i | ||||
\(459\) | 585072. | − | 1.41249e6i | 0.129622 | − | 0.312934i | ||||
\(460\) | −7.89811e6 | + | 3.51359e6i | −1.74032 | + | 0.774206i | ||||
\(461\) | 5.82480e6 | − | 2.41271e6i | 1.27652 | − | 0.528753i | 0.361582 | − | 0.932340i | \(-0.382237\pi\) |
0.914941 | + | 0.403587i | \(0.132237\pi\) | |||||||
\(462\) | 2.90177e6 | − | 2.97784e6i | 0.632496 | − | 0.649078i | ||||
\(463\) | − | 221014.i | − | 0.0479145i | −0.999713 | − | 0.0239572i | \(-0.992373\pi\) | ||
0.999713 | − | 0.0239572i | \(-0.00762655\pi\) | |||||||
\(464\) | 1.07509e6 | + | 2.25749e6i | 0.231818 | + | 0.486778i | ||||
\(465\) | − | 1.83524e7i | − | 3.93604i | ||||||
\(466\) | −5.46850e6 | − | 5.32880e6i | −1.16655 | − | 1.13675i | ||||
\(467\) | −4.25933e6 | + | 1.76427e6i | −0.903752 | + | 0.374346i | −0.785662 | − | 0.618656i | \(-0.787677\pi\) |
−0.118091 | + | 0.993003i | \(0.537677\pi\) | |||||||
\(468\) | −2.23546e6 | + | 5.81829e6i | −0.471794 | + | 1.22795i | ||||
\(469\) | −452976. | + | 1.09358e6i | −0.0950918 | + | 0.229572i | ||||
\(470\) | 2.91659e6 | + | 1.16411e6i | 0.609018 | + | 0.243081i | ||||
\(471\) | −189360. | + | 189360.i | −0.0393311 | + | 0.0393311i | ||||
\(472\) | 1.60359e6 | − | 4.34063e6i | 0.331313 | − | 0.896804i | ||||
\(473\) | 1.98131e6 | + | 1.98131e6i | 0.407193 | + | 0.407193i | ||||
\(474\) | −331011. | − | 770772.i | −0.0676701 | − | 0.157572i | ||||
\(475\) | 5.75585e6 | + | 2.38415e6i | 1.17051 | + | 0.484841i | ||||
\(476\) | −962728. | + | 1.01389e6i | −0.194754 | + | 0.205103i | ||||
\(477\) | 1.90187e6 | + | 4.59153e6i | 0.382724 | + | 0.923977i | ||||
\(478\) | −7.10895e6 | + | 91981.6i | −1.42310 | + | 0.0184133i | ||||
\(479\) | 3.40371e6 | 0.677820 | 0.338910 | − | 0.940819i | \(-0.389942\pi\) | ||||
0.338910 | + | 0.940819i | \(0.389942\pi\) | |||||||
\(480\) | −1.23925e7 | + | 802801.i | −2.45503 | + | 0.159039i | ||||
\(481\) | 489157. | 0.0964019 | ||||||||
\(482\) | 3.50013e6 | − | 45287.7i | 0.686226 | − | 0.00887897i | ||||
\(483\) | −1.32723e6 | − | 3.20422e6i | −0.258869 | − | 0.624964i | ||||
\(484\) | 5.51126e6 | + | 5.23317e6i | 1.06939 | + | 1.01543i | ||||
\(485\) | 1.49144e7 | + | 6.17773e6i | 2.87906 | + | 1.19254i | ||||
\(486\) | −2.83572e6 | − | 6.60307e6i | −0.544593 | − | 1.26811i | ||||
\(487\) | −923648. | − | 923648.i | −0.176475 | − | 0.176475i | 0.613342 | − | 0.789817i | \(-0.289825\pi\) |
−0.789817 | + | 0.613342i | \(0.789825\pi\) | |||||||
\(488\) | −2.16285e6 | + | 995892.i | −0.411127 | + | 0.189305i | ||||
\(489\) | −5.85647e6 | + | 5.85647e6i | −1.10755 | + | 1.10755i | ||||
\(490\) | 6.85194e6 | + | 2.73485e6i | 1.28921 | + | 0.514569i | ||||
\(491\) | 1.73980e6 | − | 4.20026e6i | 0.325684 | − | 0.786271i | −0.673219 | − | 0.739443i | \(-0.735089\pi\) |
0.998903 | − | 0.0468276i | \(-0.0149112\pi\) | |||||||
\(492\) | 7.23838e6 | + | 2.78108e6i | 1.34812 | + | 0.517964i | ||||
\(493\) | −2.00143e6 | + | 829021.i | −0.370872 | + | 0.153620i | ||||
\(494\) | −3.05251e6 | − | 2.97452e6i | −0.562781 | − | 0.548403i | ||||
\(495\) | 1.80848e7i | 3.31742i | ||||||||
\(496\) | −8.75418e6 | + | 453456.i | −1.59776 | + | 0.0827620i | ||||
\(497\) | 1.17491e6i | 0.213360i | ||||||||
\(498\) | 1.40199e6 | − | 1.43874e6i | 0.253321 | − | 0.259962i | ||||
\(499\) | 5.85161e6 | − | 2.42382e6i | 1.05202 | − | 0.435761i | 0.211407 | − | 0.977398i | \(-0.432195\pi\) |
0.840612 | + | 0.541637i | \(0.182195\pi\) | |||||||
\(500\) | −2.32780e6 | − | 5.23261e6i | −0.416410 | − | 0.936038i | ||||
\(501\) | 4.57867e6 | − | 1.10539e7i | 0.814976 | − | 1.96753i | ||||
\(502\) | 3.92457e6 | − | 9.83267e6i | 0.695077 | − | 1.74146i | ||||
\(503\) | 1.36393e6 | − | 1.36393e6i | 0.240365 | − | 0.240365i | −0.576636 | − | 0.817001i | \(-0.695635\pi\) |
0.817001 | + | 0.576636i | \(0.195635\pi\) | |||||||
\(504\) | −109279. | − | 2.81402e6i | −0.0191629 | − | 0.493459i | ||||
\(505\) | −1.21796e7 | − | 1.21796e7i | −2.12522 | − | 2.12522i | ||||
\(506\) | 9.77500e6 | − | 4.19791e6i | 1.69723 | − | 0.728882i | ||||
\(507\) | 194428. | + | 80534.7i | 0.0335922 | + | 0.0139144i | ||||
\(508\) | 1.48225e6 | − | 38363.7i | 0.254837 | − | 0.00659570i | ||||
\(509\) | 2.61185e6 | + | 6.30556e6i | 0.446842 | + | 1.07877i | 0.973499 | + | 0.228693i | \(0.0734453\pi\) |
−0.526657 | + | 0.850078i | \(0.676555\pi\) | |||||||
\(510\) | −139201. | − | 1.07584e7i | −0.0236983 | − | 1.83156i | ||||
\(511\) | −3.46707e6 | −0.587368 | ||||||||
\(512\) | 689139. | + | 5.89147e6i | 0.116180 | + | 0.993228i | ||||
\(513\) | −2.10573e6 | −0.353272 | ||||||||
\(514\) | 137391. | + | 1.06185e7i | 0.0229378 | + | 1.77278i | ||||
\(515\) | −1.77182e6 | − | 4.27756e6i | −0.294376 | − | 0.710686i | ||||
\(516\) | 3.35657e6 | − | 86874.9i | 0.554973 | − | 0.0143638i | ||||
\(517\) | −3.57048e6 | − | 1.47894e6i | −0.587490 | − | 0.243346i | ||||
\(518\) | −203074. | + | 87210.9i | −0.0332529 | + | 0.0142806i | ||||
\(519\) | 2.10950e6 | + | 2.10950e6i | 0.343765 | + | 0.343765i | ||||
\(520\) | 392773. | + | 1.01142e7i | 0.0636991 | + | 1.64030i | ||||
\(521\) | 381145. | − | 381145.i | 0.0615171 | − | 0.0615171i | −0.675679 | − | 0.737196i | \(-0.736149\pi\) |
0.737196 | + | 0.675679i | \(0.236149\pi\) | |||||||
\(522\) | 1.61752e6 | − | 4.05255e6i | 0.259820 | − | 0.650957i | ||||
\(523\) | −2.33357e6 | + | 5.63375e6i | −0.373050 | + | 0.900623i | 0.620180 | + | 0.784460i | \(0.287060\pi\) |
−0.993230 | + | 0.116163i | \(0.962940\pi\) | |||||||
\(524\) | 2.44150e6 | + | 5.48819e6i | 0.388444 | + | 0.873174i | ||||
\(525\) | 5.48423e6 | − | 2.27164e6i | 0.868395 | − | 0.359701i | ||||
\(526\) | −1.83852e6 | + | 1.88672e6i | −0.289736 | + | 0.297332i | ||||
\(527\) | − | 7.59472e6i | − | 1.19120i | ||||||
\(528\) | 1.52625e7 | − | 790577.i | 2.38254 | − | 0.123413i | ||||
\(529\) | − | 2.43744e6i | − | 0.378700i | ||||||
\(530\) | 5.78012e6 | + | 5.63246e6i | 0.893815 | + | 0.870980i | ||||
\(531\) | −7.46046e6 | + | 3.09023e6i | −1.14823 | + | 0.475613i | ||||
\(532\) | 1.79757e6 | + | 690650.i | 0.275364 | + | 0.105798i | ||||
\(533\) | 2.41862e6 | − | 5.83907e6i | 0.368765 | − | 0.890279i | ||||
\(534\) | −1.20440e6 | − | 480717.i | −0.182775 | − | 0.0729519i | ||||
\(535\) | −399775. | + | 399775.i | −0.0603853 | + | 0.0603853i | ||||
\(536\) | −3.95200e6 | + | 1.81972e6i | −0.594163 | + | 0.273585i | ||||
\(537\) | −259388. | − | 259388.i | −0.0388163 | − | 0.0388163i | ||||
\(538\) | 168344. | + | 391995.i | 0.0250751 | + | 0.0583882i | ||||
\(539\) | −8.38814e6 | − | 3.47448e6i | −1.24364 | − | 0.515131i | ||||
\(540\) | 3.62637e6 | + | 3.44339e6i | 0.535166 | + | 0.508162i | ||||
\(541\) | 242342. | + | 585066.i | 0.0355988 | + | 0.0859432i | 0.940679 | − | 0.339298i | \(-0.110189\pi\) |
−0.905080 | + | 0.425241i | \(0.860189\pi\) | |||||||
\(542\) | −5.30891e6 | + | 68691.2i | −0.776260 | + | 0.0100439i | ||||
\(543\) | −9.78062e6 | −1.42353 | ||||||||
\(544\) | −5.12837e6 | + | 332221.i | −0.742989 | + | 0.0481316i | ||||
\(545\) | −1.36328e7 | −1.96605 | ||||||||
\(546\) | −4.06064e6 | + | 52540.1i | −0.582926 | + | 0.00754239i | ||||
\(547\) | −694653. | − | 1.67704e6i | −0.0992657 | − | 0.239649i | 0.866443 | − | 0.499276i | \(-0.166400\pi\) |
−0.965709 | + | 0.259627i | \(0.916400\pi\) | |||||||
\(548\) | −2.92071e6 | + | 3.07591e6i | −0.415467 | + | 0.437545i | ||||
\(549\) | 3.83895e6 | + | 1.59014e6i | 0.543602 | + | 0.225167i | ||||
\(550\) | 7.18499e6 | + | 1.67305e7i | 1.01279 | + | 2.35832i | ||||
\(551\) | 2.10981e6 | + | 2.10981e6i | 0.296050 | + | 0.296050i | ||||
\(552\) | 4.41777e6 | − | 1.19581e7i | 0.617100 | − | 1.67038i | ||||
\(553\) | 218431. | − | 218431.i | 0.0303740 | − | 0.0303740i | ||||
\(554\) | −6.24023e6 | − | 2.49070e6i | −0.863826 | − | 0.344784i | ||||
\(555\) | 650848. | − | 1.57129e6i | 0.0896906 | − | 0.216532i | ||||
\(556\) | −139831. | + | 363941.i | −0.0191830 | + | 0.0499280i | ||||
\(557\) | 3.42250e6 | − | 1.41765e6i | 0.467418 | − | 0.193611i | −0.136528 | − | 0.990636i | \(-0.543594\pi\) |
0.603946 | + | 0.797025i | \(0.293594\pi\) | |||||||
\(558\) | 1.09558e7 | + | 1.06759e7i | 1.48957 | + | 1.45151i | ||||
\(559\) | − | 2.73672e6i | − | 0.370425i | ||||||
\(560\) | −1.96630e6 | − | 4.12888e6i | −0.264959 | − | 0.556368i | ||||
\(561\) | 1.32410e7i | 1.77629i | ||||||||
\(562\) | −1.70502e6 | + | 1.74972e6i | −0.227714 | + | 0.233684i | ||||
\(563\) | 1.23212e7 | − | 5.10359e6i | 1.63825 | − | 0.678586i | 0.642132 | − | 0.766594i | \(-0.278050\pi\) |
0.996120 | + | 0.0880084i | \(0.0280502\pi\) | |||||||
\(564\) | −4.23129e6 | + | 1.88235e6i | −0.560113 | + | 0.249174i | ||||
\(565\) | −7.16773e6 | + | 1.73044e7i | −0.944627 | + | 2.28053i | ||||
\(566\) | 275769. | − | 690914.i | 0.0361829 | − | 0.0906532i | ||||
\(567\) | 1.25442e6 | − | 1.25442e6i | 0.163865 | − | 0.163865i | ||||
\(568\) | −2.93290e6 | + | 3.16989e6i | −0.381440 | + | 0.412262i | ||||
\(569\) | −2.91843e6 | − | 2.91843e6i | −0.377893 | − | 0.377893i | 0.492449 | − | 0.870341i | \(-0.336102\pi\) |
−0.870341 | + | 0.492449i | \(0.836102\pi\) | |||||||
\(570\) | −1.36164e7 | + | 5.84761e6i | −1.75539 | + | 0.753861i | ||||
\(571\) | −9.72356e6 | − | 4.02763e6i | −1.24806 | − | 0.516963i | −0.341834 | − | 0.939760i | \(-0.611048\pi\) |
−0.906224 | + | 0.422798i | \(0.861048\pi\) | |||||||
\(572\) | −322291. | − | 1.24523e7i | −0.0411868 | − | 1.59133i | ||||
\(573\) | −3.56576e6 | − | 8.60850e6i | −0.453696 | − | 1.09532i | ||||
\(574\) | 36944.4 | + | 2.85531e6i | 0.00468024 | + | 0.361720i | ||||
\(575\) | 1.51880e7 | 1.91572 | ||||||||
\(576\) | 6.72974e6 | − | 7.86499e6i | 0.845166 | − | 0.987739i | ||||
\(577\) | 9.63067e6 | 1.20425 | 0.602125 | − | 0.798402i | \(-0.294321\pi\) | ||||
0.602125 | + | 0.798402i | \(0.294321\pi\) | |||||||
\(578\) | 46309.9 | + | 3.57913e6i | 0.00576572 | + | 0.445613i | ||||
\(579\) | −1.91288e6 | − | 4.61811e6i | −0.237133 | − | 0.572490i | ||||
\(580\) | −183335. | − | 7.08348e6i | −0.0226295 | − | 0.874332i | ||||
\(581\) | 683465. | + | 283100.i | 0.0839993 | + | 0.0347937i | ||||
\(582\) | −2.18748e7 | + | 9.39422e6i | −2.67693 | + | 1.14962i | ||||
\(583\) | −7.02308e6 | − | 7.02308e6i | −0.855768 | − | 0.855768i | ||||
\(584\) | −9.35411e6 | − | 8.65476e6i | −1.13493 | − | 1.05008i | ||||
\(585\) | 1.24899e7 | − | 1.24899e7i | 1.50893 | − | 1.50893i | ||||
\(586\) | 3.63997e6 | − | 9.11963e6i | 0.437878 | − | 1.09707i | ||||
\(587\) | 3.61214e6 | − | 8.72047e6i | 0.432682 | − | 1.04459i | −0.545737 | − | 0.837957i | \(-0.683750\pi\) |
0.978419 | − | 0.206631i | \(-0.0662499\pi\) | |||||||
\(588\) | −9.94058e6 | + | 4.42222e6i | −1.18568 | + | 0.527469i | ||||
\(589\) | −9.66406e6 | + | 4.00299e6i | −1.14781 | + | 0.475440i | ||||
\(590\) | −9.15181e6 | + | 9.39174e6i | −1.08237 | + | 1.11075i | ||||
\(591\) | 149704.i | 0.0176305i | ||||||||
\(592\) | −765594. | − | 271634.i | −0.0897830 | − | 0.0318552i | ||||
\(593\) | 1.27267e7i | 1.48621i | 0.669175 | + | 0.743105i | \(0.266648\pi\) | ||||
−0.669175 | + | 0.743105i | \(0.733352\pi\) | |||||||
\(594\) | −4.40762e6 | − | 4.29502e6i | −0.512553 | − | 0.499458i | ||||
\(595\) | 3.66056e6 | − | 1.51625e6i | 0.423892 | − | 0.175582i | ||||
\(596\) | 846992. | − | 2.20449e6i | 0.0976705 | − | 0.254210i | ||||
\(597\) | −4.00999e6 | + | 9.68098e6i | −0.460477 | + | 1.11169i | ||||
\(598\) | −9.65012e6 | − | 3.85171e6i | −1.10352 | − | 0.440454i | ||||
\(599\) | −8.79736e6 | + | 8.79736e6i | −1.00181 | + | 1.00181i | −0.00181157 | + | 0.999998i | \(0.500577\pi\) |
−0.999998 | + | 0.00181157i | \(0.999423\pi\) | |||||||
\(600\) | 2.04671e7 | + | 7.56129e6i | 2.32101 | + | 0.857467i | ||||
\(601\) | 7.52867e6 | + | 7.52867e6i | 0.850222 | + | 0.850222i | 0.990160 | − | 0.139938i | \(-0.0446905\pi\) |
−0.139938 | + | 0.990160i | \(0.544690\pi\) | |||||||
\(602\) | 487924. | + | 1.13615e6i | 0.0548732 | + | 0.127774i | ||||
\(603\) | 7.01461e6 | + | 2.90555e6i | 0.785616 | + | 0.325413i | ||||
\(604\) | 3.26602e6 | − | 3.43957e6i | 0.364272 | − | 0.383630i | ||||
\(605\) | −8.24201e6 | − | 1.98980e7i | −0.915471 | − | 2.21014i | ||||
\(606\) | 2.53992e7 | − | 328637.i | 2.80957 | − | 0.0363526i | ||||
\(607\) | 5.23306e6 | 0.576480 | 0.288240 | − | 0.957558i | \(-0.406930\pi\) | ||||
0.288240 | + | 0.957558i | \(0.406930\pi\) | |||||||
\(608\) | 3.12578e6 | + | 6.35060e6i | 0.342925 | + | 0.696716i | ||||
\(609\) | 2.84292e6 | 0.310615 | ||||||||
\(610\) | 6.74721e6 | − | 87301.1i | 0.734175 | − | 0.00949938i | ||||
\(611\) | 1.44448e6 | + | 3.48729e6i | 0.156534 | + | 0.377907i | ||||
\(612\) | 6.50343e6 | + | 6.17528e6i | 0.701881 | + | 0.666466i | ||||
\(613\) | 6.70376e6 | + | 2.77679e6i | 0.720555 | + | 0.298464i | 0.712664 | − | 0.701505i | \(-0.247488\pi\) |
0.00789093 | + | 0.999969i | \(0.497488\pi\) | |||||||
\(614\) | −5.75093e6 | − | 1.33913e7i | −0.615627 | − | 1.43351i | ||||
\(615\) | −1.55384e7 | − | 1.55384e7i | −1.65660 | − | 1.65660i | ||||
\(616\) | 2.35390e6 | + | 5.11212e6i | 0.249940 | + | 0.542812i | ||||
\(617\) | 451452. | − | 451452.i | 0.0477417 | − | 0.0477417i | −0.682833 | − | 0.730575i | \(-0.739252\pi\) |
0.730575 | + | 0.682833i | \(0.239252\pi\) | |||||||
\(618\) | 6.34148e6 | + | 2.53111e6i | 0.667913 | + | 0.266588i | ||||
\(619\) | −3.94761e6 | + | 9.53037e6i | −0.414102 | + | 0.999730i | 0.569923 | + | 0.821698i | \(0.306973\pi\) |
−0.984025 | + | 0.178032i | \(0.943027\pi\) | |||||||
\(620\) | 2.31888e7 | + | 8.90943e6i | 2.42270 | + | 0.930831i | ||||
\(621\) | −4.74270e6 | + | 1.96449e6i | −0.493511 | + | 0.204419i | ||||
\(622\) | 756254. | + | 736934.i | 0.0783776 | + | 0.0763753i | ||||
\(623\) | − | 477549.i | − | 0.0492944i | ||||||
\(624\) | −1.10867e7 | − | 9.99474e6i | −1.13984 | − | 1.02757i | ||||
\(625\) | 296668.i | 0.0303788i | ||||||||
\(626\) | 1.06291e7 | − | 1.09078e7i | 1.08408 | − | 1.11250i | ||||
\(627\) | 1.68488e7 | − | 6.97900e6i | 1.71159 | − | 0.708964i | ||||
\(628\) | −147335. | − | 331190.i | −0.0149076 | − | 0.0335103i | ||||
\(629\) | 269339. | − | 650242.i | 0.0271439 | − | 0.0655312i | ||||
\(630\) | −2.95839e6 | + | 7.41199e6i | −0.296964 | + | 0.744018i | ||||
\(631\) | −1.13885e7 | + | 1.13885e7i | −1.13866 | + | 1.13866i | −0.149964 | + | 0.988691i | \(0.547916\pi\) |
−0.988691 | + | 0.149964i | \(0.952084\pi\) | |||||||
\(632\) | 1.13459e6 | − | 44060.5i | 0.112992 | − | 0.00438790i | ||||
\(633\) | 7.87013e6 | + | 7.87013e6i | 0.780680 | + | 0.780680i | ||||
\(634\) | −1.20693e7 | + | 5.18320e6i | −1.19250 | + | 0.512123i | ||||
\(635\) | −3.88206e6 | − | 1.60800e6i | −0.382057 | − | 0.158253i | ||||
\(636\) | −1.18979e7 | + | 307941.i | −1.16634 | + | 0.0301874i | ||||
\(637\) | 3.39352e6 | + | 8.19269e6i | 0.331362 | + | 0.799978i | ||||
\(638\) | 112821. | + | 8.71952e6i | 0.0109733 | + | 0.848088i | ||||
\(639\) | 7.53628e6 | 0.730138 | ||||||||
\(640\) | 5.00178e6 | − | 1.60481e7i | 0.482697 | − | 1.54872i | ||||
\(641\) | −1.10774e7 | −1.06486 | −0.532431 | − | 0.846473i | \(-0.678721\pi\) | ||||
−0.532431 | + | 0.846473i | \(0.678721\pi\) | |||||||
\(642\) | −10787.0 | − | 833689.i | −0.00103291 | − | 0.0798301i | ||||
\(643\) | 2.55331e6 | + | 6.16423e6i | 0.243543 | + | 0.587965i | 0.997630 | − | 0.0688097i | \(-0.0219201\pi\) |
−0.754087 | + | 0.656775i | \(0.771920\pi\) | |||||||
\(644\) | 4.69297e6 | − | 121464.i | 0.445895 | − | 0.0115407i | ||||
\(645\) | −8.79096e6 | − | 3.64134e6i | −0.832026 | − | 0.344637i | ||||
\(646\) | −5.63483e6 | + | 2.41990e6i | −0.531251 | + | 0.228148i | ||||
\(647\) | 1.09111e7 | + | 1.09111e7i | 1.02472 | + | 1.02472i | 0.999687 | + | 0.0250372i | \(0.00797043\pi\) |
0.0250372 | + | 0.999687i | \(0.492030\pi\) | |||||||
\(648\) | 6.51582e6 | − | 253034.i | 0.609581 | − | 0.0236724i | ||||
\(649\) | 1.14113e7 | − | 1.14113e7i | 1.06347 | − | 1.06347i | ||||
\(650\) | 6.59244e6 | − | 1.65168e7i | 0.612016 | − | 1.53335i | ||||
\(651\) | −3.81409e6 | + | 9.20802e6i | −0.352726 | + | 0.851557i | ||||
\(652\) | −4.55673e6 | − | 1.02429e7i | −0.419792 | − | 0.943639i | ||||
\(653\) | 2.05290e6 | − | 850337.i | 0.188401 | − | 0.0780384i | −0.286488 | − | 0.958084i | \(-0.592488\pi\) |
0.474890 | + | 0.880045i | \(0.342488\pi\) | |||||||
\(654\) | 1.40310e7 | − | 1.43988e7i | 1.28275 | − | 1.31638i | ||||
\(655\) | − | 1.70224e7i | − | 1.55030i | ||||||
\(656\) | −7.02796e6 | + | 7.79581e6i | −0.637631 | + | 0.707297i | ||||
\(657\) | 2.22390e7i | 2.01003i | ||||||||
\(658\) | −1.22142e6 | − | 1.19022e6i | −0.109977 | − | 0.107167i | ||||
\(659\) | −2.03339e7 | + | 8.42257e6i | −1.82392 | + | 0.755494i | −0.850693 | + | 0.525664i | \(0.823817\pi\) |
−0.973231 | + | 0.229830i | \(0.926183\pi\) | |||||||
\(660\) | −4.04285e7 | − | 1.55331e7i | −3.61267 | − | 1.38803i | ||||
\(661\) | 3.77905e6 | − | 9.12344e6i | 0.336418 | − | 0.812185i | −0.661636 | − | 0.749825i | \(-0.730138\pi\) |
0.998054 | − | 0.0623593i | \(-0.0198625\pi\) | |||||||
\(662\) | −630070. | − | 251483.i | −0.0558784 | − | 0.0223030i | ||||
\(663\) | 9.14464e6 | − | 9.14464e6i | 0.807947 | − | 0.807947i | ||||
\(664\) | 1.13728e6 | + | 2.46992e6i | 0.100103 | + | 0.217401i | ||||
\(665\) | −3.85878e6 | − | 3.85878e6i | −0.338373 | − | 0.338373i | ||||
\(666\) | 559401. | + | 1.30259e6i | 0.0488695 | + | 0.113794i | ||||
\(667\) | 6.72019e6 | + | 2.78360e6i | 0.584881 | + | 0.242266i | ||||
\(668\) | 1.17442e7 | + | 1.11516e7i | 1.01831 | + | 0.966929i | ||||
\(669\) | 8.28751e6 | + | 2.00078e7i | 0.715911 | + | 1.72836i | ||||
\(670\) | 1.23286e7 | − | 159519.i | 1.06103 | − | 0.0137285i | ||||
\(671\) | −8.30419e6 | −0.712018 | ||||||||
\(672\) | 6.38460e6 | + | 2.17269e6i | 0.545395 | + | 0.185598i | ||||
\(673\) | 2.00297e7 | 1.70465 | 0.852327 | − | 0.523009i | \(-0.175191\pi\) | ||||
0.852327 | + | 0.523009i | \(0.175191\pi\) | |||||||
\(674\) | −1.40957e7 | + | 182383.i | −1.19519 | + | 0.0154644i | ||||
\(675\) | −3.36235e6 | − | 8.11743e6i | −0.284042 | − | 0.685739i | ||||
\(676\) | −196146. | + | 206569.i | −0.0165087 | + | 0.0173860i | ||||
\(677\) | −5.45001e6 | − | 2.25747e6i | −0.457010 | − | 0.189300i | 0.142289 | − | 0.989825i | \(-0.454554\pi\) |
−0.599299 | + | 0.800526i | \(0.704554\pi\) | |||||||
\(678\) | −1.08997e7 | − | 2.53803e7i | −0.910625 | − | 2.12042i | ||||
\(679\) | −6.19916e6 | − | 6.19916e6i | −0.516010 | − | 0.516010i | ||||
\(680\) | 1.36612e7 | + | 5.04694e6i | 1.13296 | + | 0.418558i | ||||
\(681\) | 1.19585e7 | − | 1.19585e7i | 0.988116 | − | 0.988116i | ||||
\(682\) | −2.83932e7 | − | 1.13328e7i | −2.33751 | − | 0.932984i | ||||
\(683\) | 2.17518e6 | − | 5.25135e6i | 0.178420 | − | 0.430744i | −0.809215 | − | 0.587512i | \(-0.800107\pi\) |
0.987635 | + | 0.156768i | \(0.0501075\pi\) | |||||||
\(684\) | 4.43007e6 | − | 1.15303e7i | 0.362051 | − | 0.942321i | ||||
\(685\) | 1.11053e7 | − | 4.59998e6i | 0.904285 | − | 0.374567i | ||||
\(686\) | −6.22288e6 | − | 6.06391e6i | −0.504872 | − | 0.491974i | ||||
\(687\) | 2.17188e7i | 1.75567i | ||||||||
\(688\) | −1.51973e6 | + | 4.28331e6i | −0.122404 | + | 0.344992i | ||||
\(689\) | 9.70071e6i | 0.778494i | ||||||||
\(690\) | −2.52125e7 | + | 2.58735e7i | −2.01602 | + | 2.06887i | ||||
\(691\) | 1.09384e7 | − | 4.53082e6i | 0.871479 | − | 0.360979i | 0.0982931 | − | 0.995158i | \(-0.468662\pi\) |
0.773186 | + | 0.634179i | \(0.218662\pi\) | |||||||
\(692\) | −3.68951e6 | + | 1.64134e6i | −0.292890 | + | 0.130296i | ||||
\(693\) | 3.75847e6 | − | 9.07375e6i | 0.297289 | − | 0.717718i | ||||
\(694\) | 3.82052e6 | − | 9.57199e6i | 0.301109 | − | 0.754403i | ||||
\(695\) | 781259. | − | 781259.i | 0.0613526 | − | 0.0613526i | ||||
\(696\) | 7.67018e6 | + | 7.09672e6i | 0.600181 | + | 0.555309i | ||||
\(697\) | −6.43020e6 | − | 6.43020e6i | −0.501352 | − | 0.501352i | ||||
\(698\) | 7.29433e6 | − | 3.13258e6i | 0.566692 | − | 0.243368i | ||||
\(699\) | −2.94810e7 | − | 1.22114e7i | −2.28217 | − | 0.945307i | ||||
\(700\) | 207892. | + | 8.03231e6i | 0.0160359 | + | 0.619577i | ||||
\(701\) | −4.52469e6 | − | 1.09236e7i | −0.347772 | − | 0.839595i | −0.996882 | − | 0.0789012i | \(-0.974859\pi\) |
0.649111 | − | 0.760694i | \(-0.275141\pi\) | |||||||
\(702\) | 77766.6 | + | 6.01032e6i | 0.00595594 | + | 0.460315i | ||||
\(703\) | −969376. | −0.0739782 | ||||||||
\(704\) | −6.41047e6 | + | 1.96684e7i | −0.487482 | + | 1.49568i | ||||
\(705\) | 1.31239e7 | 0.994469 | ||||||||
\(706\) | 284007. | + | 2.19500e7i | 0.0214446 | + | 1.65738i | ||||
\(707\) | 3.57969e6 | + | 8.64214e6i | 0.269338 | + | 0.650239i | ||||
\(708\) | −500354. | − | 1.93321e7i | −0.0375140 | − | 1.44942i | ||||
\(709\) | 1.65175e7 | + | 6.84179e6i | 1.23404 | + | 0.511157i | 0.901848 | − | 0.432054i | \(-0.142211\pi\) |
0.332194 | + | 0.943211i | \(0.392211\pi\) | |||||||
\(710\) | 1.12452e7 | − | 4.82928e6i | 0.837182 | − | 0.359531i | ||||
\(711\) | −1.40109e6 | − | 1.40109e6i | −0.103943 | − | 0.103943i | ||||
\(712\) | 1.19209e6 | − | 1.28842e6i | 0.0881273 | − | 0.0952485i | ||||
\(713\) | −1.80317e7 | + | 1.80317e7i | −1.32835 | + | 1.32835i | ||||
\(714\) | −2.16602e6 | + | 5.42678e6i | −0.159007 | + | 0.398380i | ||||
\(715\) | −1.35087e7 | + | 3.26130e7i | −0.988211 | + | 2.38575i | ||||
\(716\) | 453669. | − | 201822.i | 0.0330717 | − | 0.0147124i | ||||
\(717\) | −2.74503e7 | + | 1.13703e7i | −1.99411 | + | 0.825987i | ||||
\(718\) | −7.75733e6 | + | 7.96070e6i | −0.561566 | + | 0.576289i | ||||
\(719\) | − | 9.71798e6i | − | 0.701058i | −0.936552 | − | 0.350529i | \(-0.886002\pi\) | ||
0.936552 | − | 0.350529i | \(-0.113998\pi\) | |||||||
\(720\) | −2.64841e7 | + | 1.26125e7i | −1.90394 | + | 0.906715i | ||||
\(721\) | 2.51443e6i | 0.180136i | ||||||||
\(722\) | −3.98247e6 | − | 3.88073e6i | −0.284322 | − | 0.277058i | ||||
\(723\) | 1.35153e7 | − | 5.59822e6i | 0.961568 | − | 0.398295i | ||||
\(724\) | 4.74815e6 | − | 1.23581e7i | 0.336649 | − | 0.876206i | ||||
\(725\) | −4.76430e6 | + | 1.15020e7i | −0.336631 | + | 0.812699i | ||||
\(726\) | 2.94988e7 | + | 1.17740e7i | 2.07712 | + | 0.829054i | ||||
\(727\) | 7.36707e6 | − | 7.36707e6i | 0.516962 | − | 0.516962i | −0.399689 | − | 0.916651i | \(-0.630882\pi\) |
0.916651 | + | 0.399689i | \(0.130882\pi\) | |||||||
\(728\) | 1.90491e6 | − | 5.15626e6i | 0.133213 | − | 0.360584i | ||||
\(729\) | −1.50465e7 | − | 1.50465e7i | −1.04862 | − | 1.04862i | ||||
\(730\) | 1.42508e7 | + | 3.31836e7i | 0.989768 | + | 2.30471i | ||||
\(731\) | −3.63794e6 | − | 1.50689e6i | −0.251804 | − | 0.104301i | ||||
\(732\) | −6.85206e6 | + | 7.21618e6i | −0.472654 | + | 0.497771i | ||||
\(733\) | −3.71443e6 | − | 8.96742e6i | −0.255348 | − | 0.616464i | 0.743272 | − | 0.668989i | \(-0.233273\pi\) |
−0.998620 | + | 0.0525256i | \(0.983273\pi\) | |||||||
\(734\) | 2.64649e7 | − | 342426.i | 1.81314 | − | 0.0234599i | ||||
\(735\) | 3.08321e7 | 2.10516 | ||||||||
\(736\) | 1.29648e7 | + | 1.13872e7i | 0.882208 | + | 0.774861i | ||||
\(737\) | −1.51736e7 | −1.02901 | ||||||||
\(738\) | 1.83149e7 | − | 236974.i | 1.23784 | − | 0.0160162i | ||||
\(739\) | 5.92075e6 | + | 1.42940e7i | 0.398810 | + | 0.962812i | 0.987949 | + | 0.154780i | \(0.0494669\pi\) |
−0.589139 | + | 0.808031i | \(0.700533\pi\) | |||||||
\(740\) | 1.66941e6 | + | 1.58517e6i | 0.112068 | + | 0.106414i | ||||
\(741\) | −1.64562e7 | − | 6.81639e6i | −1.10099 | − | 0.456046i | ||||
\(742\) | −1.72952e6 | − | 4.02725e6i | −0.115323 | − | 0.268534i | ||||
\(743\) | 4.10062e6 | + | 4.10062e6i | 0.272507 | + | 0.272507i | 0.830109 | − | 0.557602i | \(-0.188278\pi\) |
−0.557602 | + | 0.830109i | \(0.688278\pi\) | |||||||
\(744\) | −3.32761e7 | + | 1.53221e7i | −2.20394 | + | 1.01481i | ||||
\(745\) | −4.73229e6 | + | 4.73229e6i | −0.312378 | + | 0.312378i | ||||
\(746\) | 1.27112e7 | + | 5.07349e6i | 0.836257 | + | 0.333780i | ||||
\(747\) | 1.81590e6 | − | 4.38398e6i | 0.119067 | − | 0.287453i | ||||
\(748\) | −1.67304e7 | − | 6.42804e6i | −1.09333 | − | 0.420073i | ||||
\(749\) | 283664. | − | 117498.i | 0.0184757 | − | 0.00765287i | ||||
\(750\) | −1.71416e7 | − | 1.67037e7i | −1.11275 | − | 1.08432i | ||||
\(751\) | 1.39527e7i | 0.902730i | 0.892339 | + | 0.451365i | \(0.149063\pi\) | ||||
−0.892339 | + | 0.451365i | \(0.850937\pi\) | |||||||
\(752\) | −324270. | − | 6.26019e6i | −0.0209104 | − | 0.403686i | ||||
\(753\) | − | 4.42447e7i | − | 2.84363i | ||||||
\(754\) | 5.94406e6 | − | 6.09989e6i | 0.380763 | − | 0.390745i | ||||
\(755\) | −1.24183e7 | + | 5.14384e6i | −0.792858 | + | 0.328413i | ||||
\(756\) | −1.10385e6 | − | 2.48132e6i | −0.0702436 | − | 0.157899i | ||||
\(757\) | 5.17326e6 | − | 1.24894e7i | 0.328114 | − | 0.792138i | −0.670618 | − | 0.741803i | \(-0.733971\pi\) |
0.998732 | − | 0.0503349i | \(-0.0160289\pi\) | |||||||
\(758\) | −415823. | + | 1.04181e6i | −0.0262867 | + | 0.0658590i | ||||
\(759\) | 3.14374e7 | − | 3.14374e7i | 1.98080 | − | 1.98080i | ||||
\(760\) | −778369. | − | 2.00435e7i | −0.0488823 | − | 1.25875i | ||||
\(761\) | −1.49120e7 | − | 1.49120e7i | −0.933414 | − | 0.933414i | 0.0645035 | − | 0.997917i | \(-0.479454\pi\) |
−0.997917 | + | 0.0645035i | \(0.979454\pi\) | |||||||
\(762\) | 5.69380e6 | − | 2.44522e6i | 0.355234 | − | 0.152557i | ||||
\(763\) | 6.84005e6 | + | 2.83324e6i | 0.425352 | + | 0.176186i | ||||
\(764\) | 1.26082e7 | − | 326325.i | 0.781481 | − | 0.0202263i | ||||
\(765\) | −9.72579e6 | − | 2.34801e7i | −0.600857 | − | 1.45060i | ||||
\(766\) | −290256. | − | 2.24329e7i | −0.0178735 | − | 1.38138i | ||||
\(767\) | −1.57620e7 | −0.967440 | ||||||||
\(768\) | 1.18020e7 | + | 2.17996e7i | 0.722024 | + | 1.33366i | ||||
\(769\) | −5.84456e6 | −0.356398 | −0.178199 | − | 0.983994i | \(-0.557027\pi\) | ||||
−0.178199 | + | 0.983994i | \(0.557027\pi\) | |||||||
\(770\) | −206345. | − | 1.59477e7i | −0.0125420 | − | 0.969331i | ||||
\(771\) | 1.69836e7 | + | 4.10019e7i | 1.02895 | + | 2.48410i | ||||
\(772\) | 6.76377e6 | − | 175060.i | 0.408456 | − | 0.0105717i | ||||
\(773\) | 1.66421e7 | + | 6.89339e6i | 1.00175 | + | 0.414939i | 0.822439 | − | 0.568853i | \(-0.192613\pi\) |
0.179312 | + | 0.983792i | \(0.442613\pi\) | |||||||
\(774\) | 7.28766e6 | − | 3.12971e6i | 0.437256 | − | 0.187781i | ||||
\(775\) | −3.08624e7 | − | 3.08624e7i | −1.84576 | − | 1.84576i | ||||
\(776\) | −1.25045e6 | − | 3.22001e7i | −0.0745441 | − | 1.91956i | ||||
\(777\) | −653106. | + | 653106.i | −0.0388089 | + | 0.0388089i | ||||
\(778\) | 6.57359e6 | − | 1.64696e7i | 0.389362 | − | 0.975513i | ||||
\(779\) | −4.79305e6 | + | 1.15714e7i | −0.282988 | + | 0.683194i | ||||
\(780\) | 1.71935e7 | + | 3.86488e7i | 1.01188 | + | 2.27457i | ||||
\(781\) | −1.39147e7 | + | 5.76365e6i | −0.816292 | + | 0.338119i | ||||
\(782\) | −1.04336e7 | + | 1.07072e7i | −0.610126 | + | 0.626121i | ||||
\(783\) | − | 4.20792e6i | − | 0.245281i | ||||||
\(784\) | −761809. | − | 1.47071e7i | −0.0442645 | − | 0.854548i | ||||
\(785\) | 1.02723e6i | 0.0594969i | ||||||||
\(786\) | 1.79788e7 | + | 1.75195e7i | 1.03802 | + | 1.01150i | ||||
\(787\) | 4.00481e6 | − | 1.65884e6i | 0.230486 | − | 0.0954704i | −0.264452 | − | 0.964399i | \(-0.585191\pi\) |
0.494938 | + | 0.868929i | \(0.335191\pi\) | |||||||
\(788\) | −189156. | − | 72676.0i | −0.0108519 | − | 0.00416942i | ||||
\(789\) | −4.21312e6 | + | 1.01714e7i | −0.240941 | + | 0.581684i | ||||
\(790\) | −2.98845e6 | − | 1.19280e6i | −0.170364 | − | 0.0679985i | ||||
\(791\) | 7.19259e6 | − | 7.19259e6i | 0.408737 | − | 0.408737i | ||||
\(792\) | 3.27909e7 | − | 1.50987e7i | 1.85755 | − | 0.855317i | ||||
\(793\) | 5.73513e6 | + | 5.73513e6i | 0.323862 | + | 0.323862i | ||||
\(794\) | 882083. | + | 2.05396e6i | 0.0496544 | + | 0.115622i | ||||
\(795\) | 3.11609e7 | + | 1.29073e7i | 1.74861 | + | 0.724297i | ||||
\(796\) | −1.02855e7 | − | 9.76653e6i | −0.575365 | − | 0.546333i | ||||
\(797\) | −658782. | − | 1.59044e6i | −0.0367363 | − | 0.0886893i | 0.904447 | − | 0.426587i | \(-0.140284\pi\) |
−0.941183 | + | 0.337898i | \(0.890284\pi\) | |||||||
\(798\) | 8.04708e6 | − | 104120.i | 0.447333 | − | 0.00578798i | ||||
\(799\) | 5.43105e6 | 0.300966 | ||||||||
\(800\) | −1.94900e7 | + | 2.21900e7i | −1.07668 | + | 1.22584i | ||||
\(801\) | −3.06316e6 | −0.168690 | ||||||||
\(802\) | −1.26197e7 | + | 163284.i | −0.692808 | + | 0.00896414i | ||||
\(803\) | −1.70081e7 | − | 4.10611e7i | −0.930822 | − | 2.24720i | ||||
\(804\) | −1.25202e7 | + | 1.31856e7i | −0.683082 | + | 0.719380i | ||||
\(805\) | −1.22910e7 | − | 5.09111e6i | −0.668495 | − | 0.276900i | ||||
\(806\) | 1.17825e7 | + | 2.74360e7i | 0.638852 | + | 1.48759i | ||||
\(807\) | 1.26070e6 | + | 1.26070e6i | 0.0681438 | + | 0.0681438i | ||||
\(808\) | −1.19152e7 | + | 3.22523e7i | −0.642056 | + | 1.73793i | ||||
\(809\) | 2.42245e7 | − | 2.42245e7i | 1.30132 | − | 1.30132i | 0.373815 | − | 0.927503i | \(-0.378049\pi\) |
0.927503 | − | 0.373815i | \(-0.121951\pi\) | |||||||
\(810\) | −1.71623e7 | − | 6.85010e6i | −0.919102 | − | 0.366846i | ||||
\(811\) | 3.85073e6 | − | 9.29648e6i | 0.205585 | − | 0.496325i | −0.787134 | − | 0.616782i | \(-0.788436\pi\) |
0.992719 | + | 0.120457i | \(0.0384360\pi\) | |||||||
\(812\) | −1.38014e6 | + | 3.59213e6i | −0.0734570 | + | 0.191188i | ||||
\(813\) | −2.04997e7 | + | 8.49124e6i | −1.08773 | + | 0.450552i | ||||
\(814\) | −2.02906e6 | − | 1.97722e6i | −0.107333 | − | 0.104591i | ||||
\(815\) | 3.17699e7i | 1.67541i | ||||||||
\(816\) | −1.93907e7 | + | 9.23442e6i | −1.01945 | + | 0.485494i | ||||
\(817\) | 5.42342e6i | 0.284262i | ||||||||
\(818\) | −4.10761e6 | + | 4.21530e6i | −0.214637 | + | 0.220265i | ||||
\(819\) | −8.86233e6 | + | 3.67090e6i | −0.461677 | + | 0.191233i | ||||
\(820\) | 2.71765e7 | − | 1.20899e7i | 1.41143 | − | 0.627896i | ||||
\(821\) | 9.01586e6 | − | 2.17662e7i | 0.466820 | − | 1.12700i | −0.498723 | − | 0.866761i | \(-0.666198\pi\) |
0.965543 | − | 0.260242i | \(-0.0838024\pi\) | |||||||
\(822\) | −6.57124e6 | + | 1.64637e7i | −0.339209 | + | 0.849860i | ||||
\(823\) | −2.42210e6 | + | 2.42210e6i | −0.124650 | + | 0.124650i | −0.766680 | − | 0.642030i | \(-0.778093\pi\) |
0.642030 | + | 0.766680i | \(0.278093\pi\) | |||||||
\(824\) | −6.27671e6 | + | 6.78390e6i | −0.322043 | + | 0.348066i | ||||
\(825\) | 5.38070e7 | + | 5.38070e7i | 2.75235 | + | 2.75235i | ||||
\(826\) | 6.54362e6 | − | 2.81018e6i | 0.333709 | − | 0.143313i | ||||
\(827\) | 8.34364e6 | + | 3.45605e6i | 0.424221 | + | 0.175718i | 0.584572 | − | 0.811342i | \(-0.301263\pi\) |
−0.160351 | + | 0.987060i | \(0.551263\pi\) | |||||||
\(828\) | −779110. | − | 3.01023e7i | −0.0394932 | − | 1.52589i | ||||
\(829\) | 6.25073e6 | + | 1.50906e7i | 0.315896 | + | 0.762641i | 0.999463 | + | 0.0327533i | \(0.0104276\pi\) |
−0.683567 | + | 0.729887i | \(0.739572\pi\) | |||||||
\(830\) | −99695.7 | − | 7.70514e6i | −0.00502321 | − | 0.388227i | ||||
\(831\) | −2.80795e7 | −1.41055 | ||||||||
\(832\) | 1.80109e7 | − | 9.15635e6i | 0.902042 | − | 0.458579i | ||||
\(833\) | 1.27592e7 | 0.637103 | ||||||||
\(834\) | 21080.4 | + | 1.62923e6i | 0.00104946 | + | 0.0811089i | ||||
\(835\) | −1.75632e7 | − | 4.24014e7i | −0.871742 | − | 2.10457i | ||||
\(836\) | 638692. | + | 2.46771e7i | 0.0316065 | + | 1.22117i | ||||
\(837\) | 1.36291e7 | + | 5.64538e6i | 0.672442 | + | 0.278535i | ||||
\(838\) | 8.25810e6 | − | 3.54647e6i | 0.406228 | − | 0.174456i | ||||
\(839\) | 2.08931e7 | + | 2.08931e7i | 1.02470 | + | 1.02470i | 0.999687 | + | 0.0250175i | \(0.00796414\pi\) |
0.0250175 | + | 0.999687i | \(0.492036\pi\) | |||||||
\(840\) | −1.40285e7 | − | 1.29797e7i | −0.685983 | − | 0.634696i | ||||
\(841\) | 1.02875e7 | − | 1.02875e7i | 0.501556 | − | 0.501556i | ||||
\(842\) | 5.18346e6 | − | 1.29867e7i | 0.251965 | − | 0.631276i | ||||
\(843\) | −3.90721e6 | + | 9.43284e6i | −0.189364 | + | 0.457165i | ||||
\(844\) | −1.37648e7 | + | 6.12350e6i | −0.665143 | + | 0.295899i | ||||
\(845\) | 745803. | − | 308922.i | 0.0359321 | − | 0.0148836i | ||||
\(846\) | −7.63447e6 | + | 7.83462e6i | −0.366735 | + | 0.376350i | ||||
\(847\) | 1.16964e7i | 0.560201i | ||||||||
\(848\) | 5.38691e6 | − | 1.51829e7i | 0.257247 | − | 0.725043i | ||||
\(849\) | − | 3.10895e6i | − | 0.148028i | ||||||
\(850\) | −1.83260e7 | − | 1.78578e7i | −0.870003 | − | 0.847777i | ||||
\(851\) | −2.18331e6 | + | 904356.i | −0.103345 | + | 0.0428071i | ||||
\(852\) | −6.47296e6 | + | 1.68473e7i | −0.305495 | + | 0.795119i | ||||
\(853\) | 1.34541e7 | − | 3.24810e7i | 0.633113 | − | 1.52847i | −0.202577 | − | 0.979266i | \(-0.564932\pi\) |
0.835689 | − | 0.549203i | \(-0.185068\pi\) | |||||||
\(854\) | −3.40345e6 | − | 1.35844e6i | −0.159689 | − | 0.0637375i | ||||
\(855\) | −2.47516e7 | + | 2.47516e7i | −1.15794 | + | 1.15794i | ||||
\(856\) | 1.05863e6 | + | 391097.i | 0.0493810 | + | 0.0182432i | ||||
\(857\) | 3.11302e6 | + | 3.11302e6i | 0.144787 | + | 0.144787i | 0.775785 | − | 0.630998i | \(-0.217354\pi\) |
−0.630998 | + | 0.775785i | \(0.717354\pi\) | |||||||
\(858\) | −2.05422e7 | − | 4.78333e7i | −0.952639 | − | 2.21826i | ||||
\(859\) | −9.02329e6 | − | 3.73757e6i | −0.417236 | − | 0.172825i | 0.164181 | − | 0.986430i | \(-0.447502\pi\) |
−0.581418 | + | 0.813605i | \(0.697502\pi\) | |||||||
\(860\) | 8.86865e6 | − | 9.33992e6i | 0.408895 | − | 0.430623i | ||||
\(861\) | 4.56687e6 | + | 1.10254e7i | 0.209947 | + | 0.506858i | ||||
\(862\) | −2.76215e7 | + | 357390.i | −1.26613 | + | 0.0163823i | ||||
\(863\) | −1.21843e7 | −0.556893 | −0.278447 | − | 0.960452i | \(-0.589820\pi\) | ||||
−0.278447 | + | 0.960452i | \(0.589820\pi\) | |||||||
\(864\) | 3.21588e6 | − | 9.45010e6i | 0.146560 | − | 0.430678i | ||||
\(865\) | 1.14435e7 | 0.520020 | ||||||||
\(866\) | −6.01959e6 | + | 77886.6i | −0.272755 | + | 0.00352913i | ||||
\(867\) | 5.72458e6 | + | 1.38204e7i | 0.258640 | + | 0.624412i | ||||
\(868\) | −9.78302e6 | − | 9.28939e6i | −0.440731 | − | 0.418493i | ||||
\(869\) | 3.65846e6 | + | 1.51538e6i | 0.164342 | + | 0.0680728i | ||||
\(870\) | −1.16854e7 | − | 2.72099e7i | −0.523414 | − | 1.21879i | ||||
\(871\) | 1.04794e7 | + | 1.04794e7i | 0.468047 | + | 0.468047i | ||||
\(872\) | 1.13818e7 | + | 2.47187e7i | 0.506899 | + | 1.10087i | ||||
\(873\) | −3.97636e7 | + | 3.97636e7i | −1.76583 | + | 1.76583i | ||||
\(874\) | 1.91239e7 | + | 7.63303e6i | 0.846833 | + | 0.338001i | ||||
\(875\) | 3.37293e6 | − | 8.14298e6i | 0.148932 | − | 0.359553i | ||||
\(876\) | −4.97152e7 | − | 1.91012e7i | −2.18892 | − | 0.841009i | ||||
\(877\) | 3.65575e6 | − | 1.51426e6i | 0.160501 | − | 0.0664817i | −0.300987 | − | 0.953628i | \(-0.597316\pi\) |
0.461487 | + | 0.887147i | \(0.347316\pi\) | |||||||
\(878\) | 2.35188e7 | + | 2.29180e7i | 1.02963 | + | 1.00332i | ||||
\(879\) | − | 4.10361e7i | − | 1.79141i | ||||||
\(880\) | 3.92532e7 | − | 4.35419e7i | 1.70871 | − | 1.89540i | ||||
\(881\) | − | 3.88731e6i | − | 0.168737i | −0.996435 | − | 0.0843683i | \(-0.973113\pi\) | ||
0.996435 | − | 0.0843683i | \(-0.0268872\pi\) | |||||||
\(882\) | −1.79357e7 | + | 1.84059e7i | −0.776329 | + | 0.796682i | ||||
\(883\) | −3.17956e7 | + | 1.31702e7i | −1.37235 | + | 0.568446i | −0.942425 | − | 0.334418i | \(-0.891460\pi\) |
−0.429926 | + | 0.902864i | \(0.641460\pi\) | |||||||
\(884\) | 7.11515e6 | + | 1.59940e7i | 0.306234 | + | 0.688375i | ||||
\(885\) | −2.09722e7 | + | 5.06313e7i | −0.900089 | + | 2.17301i | ||||
\(886\) | −4.39372e6 | + | 1.10081e7i | −0.188039 | + | 0.471116i | ||||
\(887\) | −2.22458e7 | + | 2.22458e7i | −0.949377 | + | 0.949377i | −0.998779 | − | 0.0494016i | \(-0.984269\pi\) |
0.0494016 | + | 0.998779i | \(0.484269\pi\) | |||||||
\(888\) | −3.39241e6 | + | 131740.i | −0.144369 | + | 0.00560643i | ||||
\(889\) | 1.61358e6 | + | 1.61358e6i | 0.0684757 | + | 0.0684757i | ||||
\(890\) | −4.57066e6 | + | 1.96289e6i | −0.193421 | + | 0.0830655i | ||||
\(891\) | 2.10101e7 | + | 8.70267e6i | 0.886613 | + | 0.367247i | ||||
\(892\) | −2.93038e7 | + | 758443.i | −1.23314 | + | 0.0319162i | ||||
\(893\) | −2.86257e6 | − | 6.91086e6i | −0.120123 | − | 0.290003i | ||||
\(894\) | −127690. | − | 9.86870e6i | −0.00534333 | − | 0.412968i | ||||
\(895\) | −1.40712e6 | −0.0587182 | ||||||||
\(896\) | −5.84476e6 | + | 7.01239e6i | −0.243219 | + | 0.291807i | ||||
\(897\) | −4.34232e7 | −1.80194 | ||||||||
\(898\) | −37949.5 | − | 2.93299e6i | −0.00157042 | − | 0.121372i | ||||
\(899\) | −7.99925e6 | − | 1.93119e7i | −0.330103 | − | 0.796940i | ||||
\(900\) | 5.15220e7 | − | 1.33350e6i | 2.12025 | − | 0.0548763i | ||||
\(901\) | 1.28953e7 | + | 5.34139e6i | 0.529198 | + | 0.219201i | ||||
\(902\) | −3.36347e7 | + | 1.44446e7i | −1.37648 | + | 0.591137i | ||||
\(903\) | 3.65397e6 | + | 3.65397e6i | 0.149123 | + | 0.149123i | ||||
\(904\) | 3.73603e7 | − | 1.45084e6i | 1.52051 | − | 0.0590472i | ||||
\(905\) | −2.65287e7 | + | 2.65287e7i | −1.07670 | + | 1.07670i | ||||
\(906\) | 7.34815e6 | − | 1.84102e7i | 0.297411 | − | 0.745139i | ||||
\(907\) | 1.50458e7 | − | 3.63239e7i | 0.607293 | − | 1.46613i | −0.258639 | − | 0.965974i | \(-0.583274\pi\) |
0.865932 | − | 0.500161i | \(-0.166726\pi\) | |||||||
\(908\) | 9.30450e6 | + | 2.09153e7i | 0.374523 | + | 0.841880i | ||||
\(909\) | 5.54337e7 | − | 2.29614e7i | 2.22518 | − | 0.921698i | ||||
\(910\) | −1.08715e7 | + | 1.11565e7i | −0.435197 | + | 0.446606i | ||||
\(911\) | − | 6.10105e6i | − | 0.243562i | −0.992557 | − | 0.121781i | \(-0.961140\pi\) | ||
0.992557 | − | 0.121781i | \(-0.0388605\pi\) | |||||||
\(912\) | 2.19709e7 | + | 1.98068e7i | 0.874702 | + | 0.788548i | ||||
\(913\) | 9.48318e6i | 0.376511i | ||||||||
\(914\) | −1.74590e7 | − | 1.70130e7i | −0.691280 | − | 0.673620i | ||||
\(915\) | 2.60535e7 | − | 1.07917e7i | 1.02876 | − | 0.426125i | ||||
\(916\) | −2.74424e7 | − | 1.05437e7i | −1.08065 | − | 0.415198i | ||||
\(917\) | −3.53768e6 | + | 8.54071e6i | −0.138930 | + | 0.335406i | ||||
\(918\) | 8.03240e6 | + | 3.20602e6i | 0.314585 | + | 0.125562i | ||||
\(919\) | −3.70686e6 | + | 3.70686e6i | −0.144783 | + | 0.144783i | −0.775783 | − | 0.631000i | \(-0.782645\pi\) |
0.631000 | + | 0.775783i | \(0.282645\pi\) | |||||||
\(920\) | −2.04523e7 | − | 4.44176e7i | −0.796657 | − | 1.73016i | ||||
\(921\) | −4.30677e7 | − | 4.30677e7i | −1.67302 | − | 1.67302i | ||||
\(922\) | 1.40735e7 | + | 3.27707e7i | 0.545224 | + | 1.26958i | ||||
\(923\) | 1.35905e7 | + | 5.62935e6i | 0.525085 | + | 0.217497i | ||||
\(924\) | 1.70562e7 | + | 1.61956e7i | 0.657207 | + | 0.624046i | ||||
\(925\) | −1.54786e6 | − | 3.73687e6i | −0.0594810 | − | 0.143600i | ||||
\(926\) | 1.25014e6 | − | 16175.3i | 0.0479105 | − | 0.000619906i | ||||
\(927\) | 1.61284e7 | 0.616443 | ||||||||
\(928\) | −1.26905e7 | + | 6.24631e6i | −0.483738 | + | 0.238097i | ||||
\(929\) | −1.74098e7 | −0.661842 | −0.330921 | − | 0.943659i | \(-0.607359\pi\) | ||||
−0.330921 | + | 0.943659i | \(0.607359\pi\) | |||||||
\(930\) | 1.03808e8 | − | 1.34316e6i | 3.93571 | − | 0.0509236i | ||||
\(931\) | −6.72504e6 | − | 1.62357e7i | −0.254285 | − | 0.613898i | ||||
\(932\) | 2.97415e7 | − | 3.13219e7i | 1.12156 | − | 1.18116i | ||||
\(933\) | 4.07700e6 | + | 1.68875e6i | 0.153333 | + | 0.0635128i | ||||
\(934\) | −1.02911e7 | − | 2.39633e7i | −0.386008 | − | 0.898833i | ||||
\(935\) | 3.59146e7 | + | 3.59146e7i | 1.34351 | + | 1.34351i | ||||
\(936\) | −3.30741e7 | − | 1.22188e7i | −1.23395 | − | 0.455867i | ||||
\(937\) | 2.48203e7 | − | 2.48203e7i | 0.923543 | − | 0.923543i | −0.0737345 | − | 0.997278i | \(-0.523492\pi\) |
0.997278 | + | 0.0737345i | \(0.0234917\pi\) | |||||||
\(938\) | −6.21886e6 | − | 2.48217e6i | −0.230783 | − | 0.0921137i | ||||
\(939\) | 2.43576e7 | − | 5.88045e7i | 0.901511 | − | 2.17644i | ||||
\(940\) | −6.37121e6 | + | 1.65825e7i | −0.235181 | + | 0.612112i | ||||
\(941\) | 2.42150e7 | − | 1.00302e7i | 0.891479 | − | 0.369263i | 0.110541 | − | 0.993872i | \(-0.464742\pi\) |
0.780938 | + | 0.624609i | \(0.214742\pi\) | |||||||
\(942\) | −1.08495e6 | − | 1.05723e6i | −0.0398367 | − | 0.0388190i | ||||
\(943\) | 3.05337e7i | 1.11815i | ||||||||
\(944\) | 2.46696e7 | + | 8.75283e6i | 0.901016 | + | 0.319682i | ||||
\(945\) | 7.69616e6i | 0.280346i | ||||||||
\(946\) | −1.10621e7 | + | 1.13521e7i | −0.401891 | + | 0.412427i | ||||
\(947\) | 1.46114e7 | − | 6.05223e6i | 0.529439 | − | 0.219301i | −0.101918 | − | 0.994793i | \(-0.532498\pi\) |
0.631357 | + | 0.775492i | \(0.282498\pi\) | |||||||
\(948\) | 4.33555e6 | − | 1.92874e6i | 0.156684 | − | 0.0697031i | ||||
\(949\) | −1.66118e7 | + | 4.01044e7i | −0.598758 | + | 1.44553i | ||||
\(950\) | −1.30644e7 | + | 3.27318e7i | −0.469657 | + | 1.17669i | ||||
\(951\) | −3.88160e7 | + | 3.88160e7i | −1.39174 | + | 1.39174i | ||||
\(952\) | −5.80539e6 | − | 5.37135e6i | −0.207606 | − | 0.192084i | ||||
\(953\) | 2.52885e7 | + | 2.52885e7i | 0.901967 | + | 0.901967i | 0.995606 | − | 0.0936396i | \(-0.0298502\pi\) |
−0.0936396 | + | 0.995606i | \(0.529850\pi\) | |||||||
\(954\) | −2.58322e7 | + | 1.10938e7i | −0.918948 | + | 0.394646i | ||||
\(955\) | −3.30212e7 | − | 1.36778e7i | −1.17161 | − | 0.485298i | ||||
\(956\) | −1.04057e6 | − | 4.02042e7i | −0.0368235 | − | 1.42274i | ||||
\(957\) | 1.39463e7 | + | 3.36693e7i | 0.492242 | + | 1.18838i | ||||
\(958\) | 249108. | + | 1.92527e7i | 0.00876948 | + | 0.677763i | ||||
\(959\) | −6.52793e6 | −0.229207 | ||||||||
\(960\) | −5.44792e6 | − | 7.00381e7i | −0.190789 | − | 2.45277i | ||||
\(961\) | 4.46525e7 | 1.55969 | ||||||||
\(962\) | 35800.0 | + | 2.76686e6i | 0.00124723 | + | 0.0963939i | ||||
\(963\) | −753671. | − | 1.81952e6i | −0.0261888 | − | 0.0632254i | ||||
\(964\) | 512329. | + | 1.97948e7i | 0.0177565 | + | 0.686053i | ||||
\(965\) | −1.77145e7 | − | 7.33760e6i | −0.612366 | − | 0.253650i | ||||
\(966\) | 1.80272e7 | − | 7.74184e6i | 0.621563 | − | 0.266933i | ||||
\(967\) | −1.72924e7 | − | 1.72924e7i | −0.594687 | − | 0.594687i | 0.344207 | − | 0.938894i | \(-0.388148\pi\) |
−0.938894 | + | 0.344207i | \(0.888148\pi\) | |||||||
\(968\) | −2.91974e7 | + | 3.15568e7i | −1.00151 | + | 1.08244i | ||||
\(969\) | −1.81222e7 | + | 1.81222e7i | −0.620013 | + | 0.620013i | ||||
\(970\) | −3.38520e7 | + | 8.48134e7i | −1.15520 | + | 2.89424i | ||||
\(971\) | 5.49275e6 | − | 1.32607e7i | 0.186957 | − | 0.451354i | −0.802414 | − | 0.596768i | \(-0.796451\pi\) |
0.989371 | + | 0.145414i | \(0.0464514\pi\) | |||||||
\(972\) | 3.71419e7 | − | 1.65231e7i | 1.26095 | − | 0.560954i | ||||
\(973\) | −554350. | + | 229619.i | −0.0187716 | + | 0.00777546i | ||||
\(974\) | 5.15691e6 | − | 5.29210e6i | 0.174177 | − | 0.178744i | ||||
\(975\) | − | 7.43216e7i | − | 2.50382i | ||||||
\(976\) | −5.79144e6 | − | 1.21610e7i | −0.194608 | − | 0.408644i | ||||
\(977\) | − | 5.12161e7i | − | 1.71660i | −0.513145 | − | 0.858302i | \(-0.671520\pi\) | ||
0.513145 | − | 0.858302i | \(-0.328480\pi\) | |||||||
\(978\) | −3.35550e7 | − | 3.26978e7i | −1.12179 | − | 1.09313i | ||||
\(979\) | 5.65570e6 | − | 2.34267e6i | 0.188595 | − | 0.0781185i | ||||
\(980\) | −1.49679e7 | + | 3.89573e7i | −0.497847 | + | 1.29576i | ||||
\(981\) | 1.81734e7 | − | 4.38745e7i | 0.602926 | − | 1.45559i | ||||
\(982\) | 2.38856e7 | + | 9.53359e6i | 0.790419 | + | 0.315484i | ||||
\(983\) | 3.10277e7 | − | 3.10277e7i | 1.02415 | − | 1.02415i | 0.0244526 | − | 0.999701i | \(-0.492216\pi\) |
0.999701 | − | 0.0244526i | \(-0.00778428\pi\) | |||||||
\(984\) | −1.52011e7 | + | 4.11466e7i | −0.500479 | + | 1.35471i | ||||
\(985\) | 406054. | + | 406054.i | 0.0133350 | + | 0.0133350i | ||||
\(986\) | −4.83574e6 | − | 1.12602e7i | −0.158406 | − | 0.368854i | ||||
\(987\) | −6.58473e6 | − | 2.72749e6i | −0.215152 | − | 0.0891189i | ||||
\(988\) | 1.66016e7 | − | 1.74838e7i | 0.541076 | − | 0.569829i | ||||
\(989\) | 5.05965e6 | + | 1.22151e7i | 0.164486 | + | 0.397105i | ||||
\(990\) | −1.02294e8 | + | 1.32357e6i | −3.31714 | + | 0.0429200i | ||||
\(991\) | 5.84206e7 | 1.88965 | 0.944825 | − | 0.327574i | \(-0.106231\pi\) | ||||
0.944825 | + | 0.327574i | \(0.106231\pi\) | |||||||
\(992\) | −3.20561e6 | − | 4.94838e7i | −0.103427 | − | 1.59656i | ||||
\(993\) | −2.83516e6 | −0.0912441 | ||||||||
\(994\) | −6.64573e6 | + | 85988.1i | −0.213342 | + | 0.00276040i | ||||
\(995\) | 1.53819e7 | + | 3.71351e7i | 0.492551 | + | 1.18912i | ||||
\(996\) | 8.24070e6 | + | 7.82489e6i | 0.263218 | + | 0.249936i | ||||
\(997\) | −1.53597e7 | − | 6.36220e6i | −0.489379 | − | 0.202707i | 0.124328 | − | 0.992241i | \(-0.460322\pi\) |
−0.613707 | + | 0.789534i | \(0.710322\pi\) | |||||||
\(998\) | 1.41383e7 | + | 3.29215e7i | 0.449335 | + | 1.04629i | ||||
\(999\) | 966687. | + | 966687.i | 0.0306459 | + | 0.0306459i |
(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 | 32.6.g.a.5.10 | ✓ | 76 | |
4.3 | odd | 2 | 128.6.g.a.113.3 | 76 | |||
32.13 | even | 8 | inner | 32.6.g.a.13.10 | yes | 76 | |
32.19 | odd | 8 | 128.6.g.a.17.3 | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.6.g.a.5.10 | ✓ | 76 | 1.1 | even | 1 | trivial | |
32.6.g.a.13.10 | yes | 76 | 32.13 | even | 8 | inner | |
128.6.g.a.17.3 | 76 | 32.19 | odd | 8 | |||
128.6.g.a.113.3 | 76 | 4.3 | odd | 2 |