Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,6,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (of order \(7\), 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: | \(4.65113077458\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 29.16 |
Dual form | 29.6.d.a.20.3 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.13336 | − | 2.95367i | −1.08423 | − | 0.522140i | −0.195567 | − | 0.980690i | \(-0.562655\pi\) |
−0.888668 | + | 0.458550i | \(0.848369\pi\) | |||||||
\(3\) | 1.76173 | − | 2.20914i | 0.113015 | − | 0.141716i | −0.722106 | − | 0.691782i | \(-0.756826\pi\) |
0.835121 | + | 0.550066i | \(0.185397\pi\) | |||||||
\(4\) | 8.94225 | + | 11.2132i | 0.279445 | + | 0.350413i | ||||
\(5\) | −38.8583 | − | 18.7131i | −0.695118 | − | 0.334751i | 0.0527418 | − | 0.998608i | \(-0.483204\pi\) |
−0.747859 | + | 0.663857i | \(0.768918\pi\) | |||||||
\(6\) | −17.3304 | + | 8.34587i | −0.196530 | + | 0.0946440i | ||||
\(7\) | 0.981087 | − | 1.23024i | 0.00756767 | − | 0.00948956i | −0.778033 | − | 0.628223i | \(-0.783783\pi\) |
0.785601 | + | 0.618734i | \(0.212354\pi\) | |||||||
\(8\) | 26.7482 | + | 117.192i | 0.147764 | + | 0.647398i | ||||
\(9\) | 52.2960 | + | 229.124i | 0.215210 | + | 0.942896i | ||||
\(10\) | 183.059 | + | 229.549i | 0.578884 | + | 0.725897i | ||||
\(11\) | −96.3835 | + | 422.284i | −0.240171 | + | 1.05226i | 0.700690 | + | 0.713466i | \(0.252876\pi\) |
−0.940861 | + | 0.338793i | \(0.889981\pi\) | |||||||
\(12\) | 40.5254 | 0.0812407 | ||||||||
\(13\) | −44.0450 | + | 192.974i | −0.0722833 | + | 0.316694i | −0.998124 | − | 0.0612194i | \(-0.980501\pi\) |
0.925841 | + | 0.377913i | \(0.123358\pi\) | |||||||
\(14\) | −9.65109 | + | 4.64772i | −0.0131600 | + | 0.00633753i | ||||
\(15\) | −109.798 | + | 52.8757i | −0.125998 | + | 0.0606776i | ||||
\(16\) | 284.215 | − | 1245.23i | 0.277554 | − | 1.21604i | ||||
\(17\) | −978.583 | −0.821250 | −0.410625 | − | 0.911804i | \(-0.634689\pi\) | ||||
−0.410625 | + | 0.911804i | \(0.634689\pi\) | |||||||
\(18\) | 356.006 | − | 1559.76i | 0.258986 | − | 1.13469i | ||||
\(19\) | −85.9478 | − | 107.775i | −0.0546199 | − | 0.0684912i | 0.753771 | − | 0.657137i | \(-0.228233\pi\) |
−0.808391 | + | 0.588646i | \(0.799661\pi\) | |||||||
\(20\) | −137.645 | − | 603.064i | −0.0769462 | − | 0.337123i | ||||
\(21\) | −0.989369 | − | 4.33471i | −0.000489565 | − | 0.00214492i | ||||
\(22\) | 1838.44 | − | 2305.33i | 0.809828 | − | 1.01549i | ||||
\(23\) | −1793.27 | + | 863.593i | −0.706848 | + | 0.340400i | −0.752532 | − | 0.658556i | \(-0.771168\pi\) |
0.0456838 | + | 0.998956i | \(0.485453\pi\) | |||||||
\(24\) | 306.015 | + | 147.369i | 0.108446 | + | 0.0522250i | ||||
\(25\) | −788.624 | − | 988.903i | −0.252360 | − | 0.316449i | ||||
\(26\) | 840.124 | − | 1053.48i | 0.243731 | − | 0.305629i | ||||
\(27\) | 1216.92 | + | 586.037i | 0.321257 | + | 0.154709i | ||||
\(28\) | 22.5681 | 0.00544002 | ||||||||
\(29\) | −2270.74 | + | 3918.53i | −0.501387 | + | 0.865223i | ||||
\(30\) | 829.605 | 0.168294 | ||||||||
\(31\) | 2200.70 | + | 1059.80i | 0.411298 | + | 0.198071i | 0.628079 | − | 0.778149i | \(-0.283841\pi\) |
−0.216781 | + | 0.976220i | \(0.569556\pi\) | |||||||
\(32\) | −3022.89 | + | 3790.59i | −0.521852 | + | 0.654382i | ||||
\(33\) | 763.081 | + | 956.873i | 0.121979 | + | 0.152957i | ||||
\(34\) | 6002.00 | + | 2890.41i | 0.890428 | + | 0.428808i | ||||
\(35\) | −61.1451 | + | 29.4459i | −0.00843706 | + | 0.00406308i | ||||
\(36\) | −2101.57 | + | 2635.29i | −0.270264 | + | 0.338900i | ||||
\(37\) | −390.052 | − | 1708.93i | −0.0468401 | − | 0.205220i | 0.946093 | − | 0.323895i | \(-0.104992\pi\) |
−0.992933 | + | 0.118675i | \(0.962135\pi\) | |||||||
\(38\) | 208.817 | + | 914.885i | 0.0234588 | + | 0.102780i | ||||
\(39\) | 348.710 | + | 437.268i | 0.0367116 | + | 0.0460348i | ||||
\(40\) | 1153.63 | − | 5054.40i | 0.114003 | − | 0.499482i | ||||
\(41\) | −12150.5 | −1.12884 | −0.564422 | − | 0.825486i | \(-0.690901\pi\) | ||||
−0.564422 | + | 0.825486i | \(0.690901\pi\) | |||||||
\(42\) | −6.73515 | + | 29.5086i | −0.000589147 | + | 0.00258122i | ||||
\(43\) | −5640.93 | + | 2716.53i | −0.465243 | + | 0.224049i | −0.651794 | − | 0.758396i | \(-0.725983\pi\) |
0.186551 | + | 0.982445i | \(0.440269\pi\) | |||||||
\(44\) | −5597.05 | + | 2695.40i | −0.435840 | + | 0.209890i | ||||
\(45\) | 2255.49 | − | 9881.97i | 0.166039 | − | 0.727465i | ||||
\(46\) | 13549.5 | 0.944126 | ||||||||
\(47\) | 1219.69 | − | 5343.80i | 0.0805385 | − | 0.352862i | −0.918562 | − | 0.395278i | \(-0.870648\pi\) |
0.999100 | + | 0.0424157i | \(0.0135054\pi\) | |||||||
\(48\) | −2250.17 | − | 2821.62i | −0.140965 | − | 0.176765i | ||||
\(49\) | 3739.36 | + | 16383.2i | 0.222488 | + | 0.974784i | ||||
\(50\) | 1916.02 | + | 8394.63i | 0.108386 | + | 0.474872i | ||||
\(51\) | −1724.00 | + | 2161.82i | −0.0928135 | + | 0.116384i | ||||
\(52\) | −2557.72 | + | 1231.73i | −0.131173 | + | 0.0631696i | ||||
\(53\) | 12899.9 | + | 6212.28i | 0.630809 | + | 0.303782i | 0.721833 | − | 0.692067i | \(-0.243300\pi\) |
−0.0910243 | + | 0.995849i | \(0.529014\pi\) | |||||||
\(54\) | −5732.84 | − | 7188.75i | −0.267538 | − | 0.335482i | ||||
\(55\) | 11647.5 | − | 14605.6i | 0.519192 | − | 0.651046i | ||||
\(56\) | 170.417 | + | 82.0683i | 0.00726176 | + | 0.00349708i | ||||
\(57\) | −389.507 | −0.0158792 | ||||||||
\(58\) | 25501.3 | − | 17326.7i | 0.995389 | − | 0.676311i | ||||
\(59\) | −42744.9 | −1.59865 | −0.799326 | − | 0.600897i | \(-0.794810\pi\) | ||||
−0.799326 | + | 0.600897i | \(0.794810\pi\) | |||||||
\(60\) | −1574.75 | − | 758.357i | −0.0564719 | − | 0.0271954i | ||||
\(61\) | 16034.9 | − | 20107.2i | 0.551751 | − | 0.691874i | −0.425258 | − | 0.905072i | \(-0.639817\pi\) |
0.977009 | + | 0.213198i | \(0.0683881\pi\) | |||||||
\(62\) | −10367.4 | − | 13000.3i | −0.342523 | − | 0.429511i | ||||
\(63\) | 333.185 | + | 160.453i | 0.0105763 | + | 0.00509328i | ||||
\(64\) | −7087.84 | + | 3413.32i | −0.216304 | + | 0.104166i | ||||
\(65\) | 5322.66 | − | 6674.40i | 0.156259 | − | 0.195943i | ||||
\(66\) | −1853.96 | − | 8122.73i | −0.0523891 | − | 0.229532i | ||||
\(67\) | −3311.77 | − | 14509.8i | −0.0901308 | − | 0.394889i | 0.909660 | − | 0.415354i | \(-0.136342\pi\) |
−0.999791 | + | 0.0204653i | \(0.993485\pi\) | |||||||
\(68\) | −8750.74 | − | 10973.1i | −0.229495 | − | 0.287777i | ||||
\(69\) | −1251.46 | + | 5482.99i | −0.0316442 | + | 0.138642i | ||||
\(70\) | 461.998 | 0.0112693 | ||||||||
\(71\) | −8454.80 | + | 37042.9i | −0.199048 | + | 0.872086i | 0.772457 | + | 0.635067i | \(0.219027\pi\) |
−0.971505 | + | 0.237019i | \(0.923830\pi\) | |||||||
\(72\) | −25452.5 | + | 12257.3i | −0.578628 | + | 0.278653i | ||||
\(73\) | 46322.6 | − | 22307.8i | 1.01739 | − | 0.489947i | 0.150583 | − | 0.988597i | \(-0.451885\pi\) |
0.866803 | + | 0.498650i | \(0.166171\pi\) | |||||||
\(74\) | −2655.28 | + | 11633.6i | −0.0563679 | + | 0.246964i | ||||
\(75\) | −3573.96 | −0.0733663 | ||||||||
\(76\) | 439.941 | − | 1927.51i | 0.00873695 | − | 0.0382791i | ||||
\(77\) | 424.951 | + | 532.872i | 0.00816794 | + | 0.0102423i | ||||
\(78\) | −847.216 | − | 3711.90i | −0.0157673 | − | 0.0690811i | ||||
\(79\) | 12849.7 | + | 56298.3i | 0.231646 | + | 1.01491i | 0.948274 | + | 0.317453i | \(0.102828\pi\) |
−0.716628 | + | 0.697456i | \(0.754315\pi\) | |||||||
\(80\) | −34346.3 | + | 43068.8i | −0.600004 | + | 0.752382i | ||||
\(81\) | −48014.8 | + | 23122.7i | −0.813135 | + | 0.391585i | ||||
\(82\) | 74523.3 | + | 35888.6i | 1.22393 | + | 0.589415i | ||||
\(83\) | −23555.0 | − | 29537.1i | −0.375308 | − | 0.470622i | 0.557926 | − | 0.829891i | \(-0.311597\pi\) |
−0.933234 | + | 0.359269i | \(0.883026\pi\) | |||||||
\(84\) | 39.7589 | − | 49.8561i | 0.000614803 | − | 0.000770939i | ||||
\(85\) | 38026.0 | + | 18312.4i | 0.570865 | + | 0.274914i | ||||
\(86\) | 42621.6 | 0.621418 | ||||||||
\(87\) | 4656.14 | + | 11919.8i | 0.0659519 | + | 0.168838i | ||||
\(88\) | −52066.1 | −0.716719 | ||||||||
\(89\) | 87897.4 | + | 42329.2i | 1.17625 | + | 0.566454i | 0.916818 | − | 0.399306i | \(-0.130749\pi\) |
0.259436 | + | 0.965760i | \(0.416463\pi\) | |||||||
\(90\) | −43021.8 | + | 53947.7i | −0.559864 | + | 0.702047i | ||||
\(91\) | 194.193 | + | 243.510i | 0.00245827 | + | 0.00308257i | ||||
\(92\) | −25719.5 | − | 12385.9i | −0.316806 | − | 0.152566i | ||||
\(93\) | 6218.28 | − | 2994.57i | 0.0745527 | − | 0.0359027i | ||||
\(94\) | −23264.6 | + | 29172.9i | −0.271566 | + | 0.340533i | ||||
\(95\) | 1322.97 | + | 5796.31i | 0.0150398 | + | 0.0658935i | ||||
\(96\) | 3048.41 | + | 13356.0i | 0.0337594 | + | 0.147910i | ||||
\(97\) | −17278.0 | − | 21666.0i | −0.186451 | − | 0.233802i | 0.679817 | − | 0.733382i | \(-0.262059\pi\) |
−0.866268 | + | 0.499580i | \(0.833488\pi\) | |||||||
\(98\) | 25455.7 | − | 111529.i | 0.267744 | − | 1.17307i | ||||
\(99\) | −101796. | −1.04386 | ||||||||
\(100\) | 4036.72 | − | 17686.0i | 0.0403672 | − | 0.176860i | ||||
\(101\) | 111369. | − | 53632.4i | 1.08633 | − | 0.523147i | 0.196993 | − | 0.980405i | \(-0.436883\pi\) |
0.889334 | + | 0.457258i | \(0.151168\pi\) | |||||||
\(102\) | 16959.2 | − | 8167.12i | 0.161401 | − | 0.0777264i | ||||
\(103\) | 39909.7 | − | 174856.i | 0.370668 | − | 1.62400i | −0.354239 | − | 0.935155i | \(-0.615260\pi\) |
0.724907 | − | 0.688847i | \(-0.241883\pi\) | |||||||
\(104\) | −23793.0 | −0.215708 | ||||||||
\(105\) | −42.6709 | + | 186.954i | −0.000377710 | + | 0.00165486i | ||||
\(106\) | −60770.9 | − | 76204.3i | −0.525328 | − | 0.658741i | ||||
\(107\) | −42775.8 | − | 187413.i | −0.361193 | − | 1.58249i | −0.750172 | − | 0.661242i | \(-0.770030\pi\) |
0.388980 | − | 0.921246i | \(-0.372828\pi\) | |||||||
\(108\) | 4310.63 | + | 18886.1i | 0.0355616 | + | 0.155805i | ||||
\(109\) | −83821.6 | + | 105109.i | −0.675756 | + | 0.847371i | −0.994956 | − | 0.100317i | \(-0.968014\pi\) |
0.319200 | + | 0.947687i | \(0.396586\pi\) | |||||||
\(110\) | −114579. | + | 55178.2i | −0.902863 | + | 0.434796i | ||||
\(111\) | −4462.42 | − | 2148.99i | −0.0343766 | − | 0.0165549i | ||||
\(112\) | −1253.10 | − | 1571.33i | −0.00943928 | − | 0.0118365i | ||||
\(113\) | 150488. | − | 188706.i | 1.10868 | − | 1.39024i | 0.196477 | − | 0.980508i | \(-0.437050\pi\) |
0.912205 | − | 0.409734i | \(-0.134379\pi\) | |||||||
\(114\) | 2388.98 | + | 1150.47i | 0.0172168 | + | 0.00829115i | ||||
\(115\) | 85843.9 | 0.605292 | ||||||||
\(116\) | −64244.9 | + | 9578.12i | −0.443296 | + | 0.0660899i | ||||
\(117\) | −46518.2 | −0.314165 | ||||||||
\(118\) | 262170. | + | 126254.i | 1.73332 | + | 0.834721i | ||||
\(119\) | −960.075 | + | 1203.90i | −0.00621495 | + | 0.00779330i | ||||
\(120\) | −9133.47 | − | 11453.0i | −0.0579006 | − | 0.0726050i | ||||
\(121\) | −23931.7 | − | 11524.9i | −0.148597 | − | 0.0715605i | ||||
\(122\) | −157738. | + | 75962.7i | −0.959482 | + | 0.462062i | ||||
\(123\) | −21405.9 | + | 26842.1i | −0.127576 | + | 0.159976i | ||||
\(124\) | 7795.42 | + | 34154.0i | 0.0455287 | + | 0.199474i | ||||
\(125\) | 42130.3 | + | 184585.i | 0.241168 | + | 1.05663i | ||||
\(126\) | −1569.62 | − | 1968.24i | −0.00880780 | − | 0.0110446i | ||||
\(127\) | −22061.2 | + | 96656.4i | −0.121372 | + | 0.531767i | 0.877285 | + | 0.479969i | \(0.159352\pi\) |
−0.998658 | + | 0.0517975i | \(0.983505\pi\) | |||||||
\(128\) | 208701. | 1.12590 | ||||||||
\(129\) | −3936.60 | + | 17247.4i | −0.0208280 | + | 0.0912533i | ||||
\(130\) | −52359.7 | + | 25215.1i | −0.271731 | + | 0.130859i | ||||
\(131\) | 30044.1 | − | 14468.5i | 0.152961 | − | 0.0736623i | −0.355837 | − | 0.934548i | \(-0.615804\pi\) |
0.508798 | + | 0.860886i | \(0.330090\pi\) | |||||||
\(132\) | −3905.98 | + | 17113.2i | −0.0195117 | + | 0.0854863i | ||||
\(133\) | −216.912 | −0.00106330 | ||||||||
\(134\) | −22544.9 | + | 98775.8i | −0.108464 | + | 0.475213i | ||||
\(135\) | −36320.7 | − | 45544.8i | −0.171522 | − | 0.215082i | ||||
\(136\) | −26175.3 | − | 114682.i | −0.121351 | − | 0.531676i | ||||
\(137\) | 93441.6 | + | 409394.i | 0.425343 | + | 1.86355i | 0.499519 | + | 0.866303i | \(0.333510\pi\) |
−0.0741767 | + | 0.997245i | \(0.523633\pi\) | |||||||
\(138\) | 23870.6 | − | 29932.8i | 0.106700 | − | 0.133798i | ||||
\(139\) | −378167. | + | 182116.i | −1.66015 | + | 0.799485i | −0.661370 | + | 0.750060i | \(0.730025\pi\) |
−0.998778 | + | 0.0494250i | \(0.984261\pi\) | |||||||
\(140\) | −876.958 | − | 422.321i | −0.00378145 | − | 0.00182105i | ||||
\(141\) | −9656.42 | − | 12108.8i | −0.0409043 | − | 0.0512923i | ||||
\(142\) | 161269. | − | 202225.i | 0.671166 | − | 0.841615i | ||||
\(143\) | −77244.4 | − | 37198.9i | −0.315883 | − | 0.152121i | ||||
\(144\) | 300175. | 1.20633 | ||||||||
\(145\) | 161565. | − | 109774.i | 0.638157 | − | 0.433592i | ||||
\(146\) | −350003. | −1.35891 | ||||||||
\(147\) | 42780.5 | + | 20602.0i | 0.163287 | + | 0.0786350i | ||||
\(148\) | 15674.7 | − | 19655.4i | 0.0588226 | − | 0.0737612i | ||||
\(149\) | −14008.6 | − | 17566.2i | −0.0516926 | − | 0.0648205i | 0.755313 | − | 0.655364i | \(-0.227485\pi\) |
−0.807006 | + | 0.590544i | \(0.798913\pi\) | |||||||
\(150\) | 21920.4 | + | 10556.3i | 0.0795463 | + | 0.0383075i | ||||
\(151\) | −310419. | + | 149490.i | −1.10791 | + | 0.533544i | −0.896139 | − | 0.443774i | \(-0.853639\pi\) |
−0.211776 | + | 0.977318i | \(0.567925\pi\) | |||||||
\(152\) | 10331.4 | − | 12955.2i | 0.0362702 | − | 0.0454814i | ||||
\(153\) | −51176.0 | − | 224217.i | −0.176741 | − | 0.774353i | ||||
\(154\) | −1032.45 | − | 4523.46i | −0.00350806 | − | 0.0153698i | ||||
\(155\) | −65683.2 | − | 82364.1i | −0.219596 | − | 0.275365i | ||||
\(156\) | −1784.94 | + | 7820.33i | −0.00587235 | + | 0.0257284i | ||||
\(157\) | −42755.8 | −0.138435 | −0.0692175 | − | 0.997602i | \(-0.522050\pi\) | ||||
−0.0692175 | + | 0.997602i | \(0.522050\pi\) | |||||||
\(158\) | 87474.6 | − | 383251.i | 0.278766 | − | 1.22135i | ||||
\(159\) | 36449.9 | − | 17553.4i | 0.114342 | − | 0.0550640i | ||||
\(160\) | 188398. | − | 90727.7i | 0.581804 | − | 0.280182i | ||||
\(161\) | −696.923 | + | 3053.42i | −0.00211895 | + | 0.00928372i | ||||
\(162\) | 362789. | 1.08609 | ||||||||
\(163\) | 8440.44 | − | 36980.0i | 0.0248826 | − | 0.109018i | −0.960962 | − | 0.276682i | \(-0.910765\pi\) |
0.985844 | + | 0.167664i | \(0.0536224\pi\) | |||||||
\(164\) | −108653. | − | 136246.i | −0.315451 | − | 0.395562i | ||||
\(165\) | −11745.9 | − | 51462.1i | −0.0335873 | − | 0.147156i | ||||
\(166\) | 57228.7 | + | 250735.i | 0.161192 | + | 0.706228i | ||||
\(167\) | −419453. | + | 525978.i | −1.16384 | + | 1.45941i | −0.301217 | + | 0.953556i | \(0.597393\pi\) |
−0.862621 | + | 0.505851i | \(0.831179\pi\) | |||||||
\(168\) | 481.528 | − | 231.891i | 0.00131628 | − | 0.000633887i | ||||
\(169\) | 299225. | + | 144099.i | 0.805899 | + | 0.388100i | ||||
\(170\) | −179139. | − | 224633.i | −0.475408 | − | 0.596143i | ||||
\(171\) | 20199.1 | − | 25328.9i | 0.0528253 | − | 0.0662409i | ||||
\(172\) | −80903.7 | − | 38961.2i | −0.208520 | − | 0.100418i | ||||
\(173\) | 459315. | 1.16680 | 0.583399 | − | 0.812186i | \(-0.301723\pi\) | ||||
0.583399 | + | 0.812186i | \(0.301723\pi\) | |||||||
\(174\) | 6649.29 | − | 86860.9i | 0.0166495 | − | 0.217496i | ||||
\(175\) | −1990.30 | −0.00491274 | ||||||||
\(176\) | 498446. | + | 240039.i | 1.21293 | + | 0.584117i | ||||
\(177\) | −75304.9 | + | 94429.3i | −0.180672 | + | 0.226555i | ||||
\(178\) | −414080. | − | 519240.i | −0.979567 | − | 1.22834i | ||||
\(179\) | −275307. | − | 132581.i | −0.642221 | − | 0.309277i | 0.0842808 | − | 0.996442i | \(-0.473141\pi\) |
−0.726502 | + | 0.687165i | \(0.758855\pi\) | |||||||
\(180\) | 130978. | − | 63075.7i | 0.301312 | − | 0.145104i | ||||
\(181\) | −163670. | + | 205235.i | −0.371340 | + | 0.465645i | −0.932030 | − | 0.362380i | \(-0.881964\pi\) |
0.560691 | + | 0.828025i | \(0.310536\pi\) | |||||||
\(182\) | −471.806 | − | 2067.12i | −0.00105581 | − | 0.00462579i | ||||
\(183\) | −16170.3 | − | 70846.8i | −0.0356936 | − | 0.156384i | ||||
\(184\) | −149173. | − | 187057.i | −0.324821 | − | 0.407313i | ||||
\(185\) | −16822.7 | + | 73705.1i | −0.0361382 | + | 0.158332i | ||||
\(186\) | −46983.9 | −0.0995788 | ||||||||
\(187\) | 94319.2 | − | 413240.i | 0.197241 | − | 0.864167i | ||||
\(188\) | 70828.0 | − | 34109.0i | 0.146154 | − | 0.0703840i | ||||
\(189\) | 1914.87 | − | 922.154i | 0.00389929 | − | 0.00187780i | ||||
\(190\) | 9006.14 | − | 39458.5i | 0.0180990 | − | 0.0792969i | ||||
\(191\) | 206802. | 0.410178 | 0.205089 | − | 0.978743i | \(-0.434252\pi\) | ||||
0.205089 | + | 0.978743i | \(0.434252\pi\) | |||||||
\(192\) | −4946.35 | + | 21671.4i | −0.00968348 | + | 0.0424261i | ||||
\(193\) | −118803. | − | 148974.i | −0.229579 | − | 0.287883i | 0.653677 | − | 0.756774i | \(-0.273225\pi\) |
−0.883256 | + | 0.468890i | \(0.844654\pi\) | |||||||
\(194\) | 41978.3 | + | 183919.i | 0.0800793 | + | 0.350850i | ||||
\(195\) | −5367.59 | − | 23516.9i | −0.0101086 | − | 0.0442888i | ||||
\(196\) | −150270. | + | 188433.i | −0.279404 | + | 0.350362i | ||||
\(197\) | 117978. | − | 56815.1i | 0.216588 | − | 0.104303i | −0.322444 | − | 0.946589i | \(-0.604504\pi\) |
0.539032 | + | 0.842285i | \(0.318790\pi\) | |||||||
\(198\) | 624349. | + | 300671.i | 1.13179 | + | 0.545040i | ||||
\(199\) | −175570. | − | 220158.i | −0.314281 | − | 0.394096i | 0.599452 | − | 0.800410i | \(-0.295385\pi\) |
−0.913733 | + | 0.406315i | \(0.866814\pi\) | |||||||
\(200\) | 94796.8 | − | 118871.i | 0.167579 | − | 0.210137i | ||||
\(201\) | −37888.6 | − | 18246.2i | −0.0661483 | − | 0.0318553i | ||||
\(202\) | −841478. | −1.45099 | ||||||||
\(203\) | 2592.95 | + | 6637.99i | 0.00441626 | + | 0.0113057i | ||||
\(204\) | −39657.4 | −0.0667190 | ||||||||
\(205\) | 472147. | + | 227374.i | 0.784680 | + | 0.377882i | ||||
\(206\) | −761246. | + | 954572.i | −1.24985 | + | 1.56726i | ||||
\(207\) | −291651. | − | 365718.i | −0.473082 | − | 0.593227i | ||||
\(208\) | 227778. | + | 109692.i | 0.365051 | + | 0.175799i | ||||
\(209\) | 53795.6 | − | 25906.6i | 0.0851886 | − | 0.0410247i | ||||
\(210\) | 813.915 | − | 1020.62i | 0.00127359 | − | 0.00159704i | ||||
\(211\) | −77266.7 | − | 338528.i | −0.119478 | − | 0.523465i | −0.998877 | − | 0.0473805i | \(-0.984913\pi\) |
0.879399 | − | 0.476085i | \(-0.157944\pi\) | |||||||
\(212\) | 45694.7 | + | 200202.i | 0.0698275 | + | 0.305934i | ||||
\(213\) | 66937.8 | + | 83937.3i | 0.101093 | + | 0.126767i | ||||
\(214\) | −291197. | + | 1.27582e6i | −0.434663 | + | 1.90438i | ||||
\(215\) | 270032. | 0.398399 | ||||||||
\(216\) | −36128.2 | + | 158288.i | −0.0526881 | + | 0.230841i | ||||
\(217\) | 3462.89 | − | 1667.64i | 0.00499218 | − | 0.00240411i | ||||
\(218\) | 824565. | − | 397090.i | 1.17512 | − | 0.565910i | ||||
\(219\) | 32326.9 | − | 141633.i | 0.0455463 | − | 0.199551i | ||||
\(220\) | 267931. | 0.373221 | ||||||||
\(221\) | 43101.7 | − | 188841.i | 0.0593627 | − | 0.260085i | ||||
\(222\) | 21022.2 | + | 26361.0i | 0.0286283 | + | 0.0358988i | ||||
\(223\) | 196928. | + | 862797.i | 0.265183 | + | 1.16184i | 0.915545 | + | 0.402217i | \(0.131760\pi\) |
−0.650362 | + | 0.759624i | \(0.725383\pi\) | |||||||
\(224\) | 1697.63 | + | 7437.79i | 0.00226059 | + | 0.00990430i | ||||
\(225\) | 185339. | − | 232408.i | 0.244068 | − | 0.306052i | ||||
\(226\) | −1.48038e6 | + | 712911.i | −1.92797 | + | 0.928463i | ||||
\(227\) | 664601. | + | 320055.i | 0.856045 | + | 0.412249i | 0.809818 | − | 0.586682i | \(-0.199566\pi\) |
0.0462269 | + | 0.998931i | \(0.485280\pi\) | |||||||
\(228\) | −3483.07 | − | 4367.63i | −0.00443736 | − | 0.00556428i | ||||
\(229\) | 246382. | − | 308954.i | 0.310471 | − | 0.389318i | −0.601975 | − | 0.798515i | \(-0.705619\pi\) |
0.912446 | + | 0.409196i | \(0.134191\pi\) | |||||||
\(230\) | −526511. | − | 253555.i | −0.656279 | − | 0.316047i | ||||
\(231\) | 1925.84 | 0.00237459 | ||||||||
\(232\) | −519957. | − | 161298.i | −0.634231 | − | 0.196748i | ||||
\(233\) | 460128. | 0.555250 | 0.277625 | − | 0.960689i | \(-0.410453\pi\) | ||||
0.277625 | + | 0.960689i | \(0.410453\pi\) | |||||||
\(234\) | 285313. | + | 137399.i | 0.340629 | + | 0.164038i | ||||
\(235\) | −147394. | + | 184826.i | −0.174105 | + | 0.218321i | ||||
\(236\) | −382236. | − | 479308.i | −0.446736 | − | 0.560189i | ||||
\(237\) | 147008. | + | 70795.4i | 0.170009 | + | 0.0818718i | ||||
\(238\) | 9444.40 | − | 4548.18i | 0.0108077 | − | 0.00520470i | ||||
\(239\) | 806504. | − | 1.01132e6i | 0.913297 | − | 1.14524i | −0.0756750 | − | 0.997133i | \(-0.524111\pi\) |
0.988972 | − | 0.148105i | \(-0.0473174\pi\) | |||||||
\(240\) | 34636.2 | + | 151751.i | 0.0388152 | + | 0.170061i | ||||
\(241\) | 79179.5 | + | 346908.i | 0.0878153 | + | 0.384744i | 0.999668 | − | 0.0257740i | \(-0.00820502\pi\) |
−0.911852 | + | 0.410518i | \(0.865348\pi\) | |||||||
\(242\) | 112741. | + | 141373.i | 0.123749 | + | 0.155177i | ||||
\(243\) | −106542. | + | 466793.i | −0.115746 | + | 0.507118i | ||||
\(244\) | 368855. | 0.396626 | ||||||||
\(245\) | 161276. | − | 706598.i | 0.171655 | − | 0.752068i | ||||
\(246\) | 210573. | − | 101406.i | 0.221852 | − | 0.106838i | ||||
\(247\) | 24583.3 | − | 11838.7i | 0.0256388 | − | 0.0123470i | ||||
\(248\) | −65335.0 | + | 286251.i | −0.0674554 | + | 0.295541i | ||||
\(249\) | −106749. | −0.109110 | ||||||||
\(250\) | 286803. | − | 1.25656e6i | 0.290224 | − | 1.27155i | ||||
\(251\) | −552957. | − | 693386.i | −0.553997 | − | 0.694690i | 0.423439 | − | 0.905925i | \(-0.360823\pi\) |
−0.977435 | + | 0.211235i | \(0.932252\pi\) | |||||||
\(252\) | 1180.22 | + | 5170.89i | 0.00117075 | + | 0.00512937i | ||||
\(253\) | −191840. | − | 840505.i | −0.188424 | − | 0.825541i | ||||
\(254\) | 420800. | − | 527667.i | 0.409253 | − | 0.513187i | ||||
\(255\) | 107446. | − | 51743.3i | 0.103476 | − | 0.0498315i | ||||
\(256\) | −1.05323e6 | − | 507208.i | −1.00444 | − | 0.483711i | ||||
\(257\) | −1.08359e6 | − | 1.35878e6i | −1.02337 | − | 1.28327i | −0.958415 | − | 0.285380i | \(-0.907880\pi\) |
−0.0649572 | − | 0.997888i | \(-0.520691\pi\) | |||||||
\(258\) | 75087.6 | − | 94156.9i | 0.0702294 | − | 0.0880649i | ||||
\(259\) | −2485.07 | − | 1196.75i | −0.00230192 | − | 0.00110855i | ||||
\(260\) | 122438. | 0.112327 | ||||||||
\(261\) | −1.01658e6 | − | 315358.i | −0.923719 | − | 0.286551i | ||||
\(262\) | −227007. | −0.204308 | ||||||||
\(263\) | −500169. | − | 240869.i | −0.445890 | − | 0.214729i | 0.197445 | − | 0.980314i | \(-0.436735\pi\) |
−0.643335 | + | 0.765585i | \(0.722450\pi\) | |||||||
\(264\) | −91726.4 | + | 115021.i | −0.0809999 | + | 0.101571i | ||||
\(265\) | −385018. | − | 482797.i | −0.336795 | − | 0.422328i | ||||
\(266\) | 1330.40 | + | 640.687i | 0.00115286 | + | 0.000555190i | ||||
\(267\) | 248362. | − | 119605.i | 0.213210 | − | 0.102676i | ||||
\(268\) | 133087. | − | 166886.i | 0.113188 | − | 0.141933i | ||||
\(269\) | 128387. | + | 562502.i | 0.108179 | + | 0.473962i | 0.999777 | + | 0.0211339i | \(0.00672764\pi\) |
−0.891598 | + | 0.452828i | \(0.850415\pi\) | |||||||
\(270\) | 88243.9 | + | 386622.i | 0.0736674 | + | 0.322758i | ||||
\(271\) | 1.38581e6 | + | 1.73776e6i | 1.14626 | + | 1.43736i | 0.880958 | + | 0.473194i | \(0.156899\pi\) |
0.265299 | + | 0.964166i | \(0.414529\pi\) | |||||||
\(272\) | −278128. | + | 1.21856e6i | −0.227941 | + | 0.998676i | ||||
\(273\) | 880.062 | 0.000714672 | ||||||||
\(274\) | 636105. | − | 2.78696e6i | 0.511862 | − | 2.24261i | ||||
\(275\) | 493608. | − | 237709.i | 0.393596 | − | 0.189546i | ||||
\(276\) | −72672.9 | + | 34997.4i | −0.0574249 | + | 0.0276544i | ||||
\(277\) | −411741. | + | 1.80396e6i | −0.322422 | + | 1.41262i | 0.510807 | + | 0.859695i | \(0.329347\pi\) |
−0.833229 | + | 0.552928i | \(0.813510\pi\) | |||||||
\(278\) | 2.85734e6 | 2.21743 | ||||||||
\(279\) | −127738. | + | 559656.i | −0.0982447 | + | 0.430438i | ||||
\(280\) | −5086.33 | − | 6378.06i | −0.00387712 | − | 0.00486176i | ||||
\(281\) | 539242. | + | 2.36257e6i | 0.407397 | + | 1.78492i | 0.596124 | + | 0.802893i | \(0.296707\pi\) |
−0.188727 | + | 0.982030i | \(0.560436\pi\) | |||||||
\(282\) | 23461.0 | + | 102789.i | 0.0175681 | + | 0.0769707i | ||||
\(283\) | −826007. | + | 1.03578e6i | −0.613080 | + | 0.768778i | −0.987352 | − | 0.158540i | \(-0.949321\pi\) |
0.374272 | + | 0.927319i | \(0.377893\pi\) | |||||||
\(284\) | −490976. | + | 236441.i | −0.361214 | + | 0.173951i | ||||
\(285\) | 15135.6 | + | 7288.90i | 0.0110379 | + | 0.00531557i | ||||
\(286\) | 363894. | + | 456309.i | 0.263063 | + | 0.329871i | ||||
\(287\) | −11920.7 | + | 14948.1i | −0.00854273 | + | 0.0107122i | ||||
\(288\) | −1.02660e6 | − | 494383.i | −0.729322 | − | 0.351223i | ||||
\(289\) | −462232. | −0.325548 | ||||||||
\(290\) | −1.31517e6 | + | 196076.i | −0.918308 | + | 0.136908i | ||||
\(291\) | −78302.3 | −0.0542053 | ||||||||
\(292\) | 664371. | + | 319944.i | 0.455988 | + | 0.219592i | ||||
\(293\) | −734782. | + | 921387.i | −0.500022 | + | 0.627008i | −0.966234 | − | 0.257665i | \(-0.917047\pi\) |
0.466212 | + | 0.884673i | \(0.345618\pi\) | |||||||
\(294\) | −201536. | − | 252719.i | −0.135983 | − | 0.170518i | ||||
\(295\) | 1.66099e6 | + | 799891.i | 1.11125 | + | 0.535151i | ||||
\(296\) | 189839. | − | 91421.5i | 0.125938 | − | 0.0606484i | ||||
\(297\) | −364765. | + | 457401.i | −0.239951 | + | 0.300889i | ||||
\(298\) | 34034.9 | + | 149117.i | 0.0222016 | + | 0.0972714i | ||||
\(299\) | −87666.2 | − | 384091.i | −0.0567093 | − | 0.248460i | ||||
\(300\) | −31959.3 | − | 40075.7i | −0.0205019 | − | 0.0257085i | ||||
\(301\) | −2192.25 | + | 9604.88i | −0.00139468 | + | 0.00611048i | ||||
\(302\) | 2.34546e6 | 1.47982 | ||||||||
\(303\) | 77720.3 | − | 340515.i | 0.0486326 | − | 0.213074i | ||||
\(304\) | −158632. | + | 76393.3i | −0.0984482 | + | 0.0474102i | ||||
\(305\) | −999359. | + | 481266.i | −0.615137 | + | 0.296234i | ||||
\(306\) | −348381. | + | 1.52636e6i | −0.212692 | + | 0.931864i | ||||
\(307\) | 80143.7 | 0.0485315 | 0.0242657 | − | 0.999706i | \(-0.492275\pi\) | ||||
0.0242657 | + | 0.999706i | \(0.492275\pi\) | |||||||
\(308\) | −2175.20 | + | 9530.15i | −0.00130654 | + | 0.00572431i | ||||
\(309\) | −315970. | − | 396214.i | −0.188256 | − | 0.236066i | ||||
\(310\) | 159582. | + | 699175.i | 0.0943149 | + | 0.413220i | ||||
\(311\) | −457078. | − | 2.00259e6i | −0.267972 | − | 1.17406i | −0.912369 | − | 0.409370i | \(-0.865749\pi\) |
0.644397 | − | 0.764691i | \(-0.277108\pi\) | |||||||
\(312\) | −41916.8 | + | 52562.0i | −0.0243782 | + | 0.0305693i | ||||
\(313\) | 1.28107e6 | − | 616932.i | 0.739117 | − | 0.355940i | −0.0261459 | − | 0.999658i | \(-0.508323\pi\) |
0.765262 | + | 0.643718i | \(0.222609\pi\) | |||||||
\(314\) | 262237. | + | 126287.i | 0.150096 | + | 0.0722825i | ||||
\(315\) | −9944.40 | − | 12469.9i | −0.00564680 | − | 0.00708086i | ||||
\(316\) | −516380. | + | 647520.i | −0.290905 | + | 0.364784i | ||||
\(317\) | −2.56352e6 | − | 1.23452e6i | −1.43281 | − | 0.690004i | −0.453290 | − | 0.891363i | \(-0.649750\pi\) |
−0.979517 | + | 0.201359i | \(0.935464\pi\) | |||||||
\(318\) | −275407. | −0.152724 | ||||||||
\(319\) | −1.43587e6 | − | 1.33658e6i | −0.790020 | − | 0.735390i | ||||
\(320\) | 339295. | 0.185226 | ||||||||
\(321\) | −489381. | − | 235673.i | −0.265084 | − | 0.127658i | ||||
\(322\) | 13293.3 | − | 16669.2i | 0.00714484 | − | 0.00895934i | ||||
\(323\) | 84107.1 | + | 105467.i | 0.0448566 | + | 0.0562484i | ||||
\(324\) | −688641. | − | 331632.i | −0.364444 | − | 0.175507i | ||||
\(325\) | 225567. | − | 108627.i | 0.118459 | − | 0.0570468i | ||||
\(326\) | −160995. | + | 201881.i | −0.0839012 | + | 0.105209i | ||||
\(327\) | 84529.2 | + | 370347.i | 0.0437157 | + | 0.191531i | ||||
\(328\) | −325004. | − | 1.42394e6i | −0.166803 | − | 0.730812i | ||||
\(329\) | −5377.56 | − | 6743.24i | −0.00273902 | − | 0.00343462i | ||||
\(330\) | −79960.2 | + | 350329.i | −0.0404193 | + | 0.177089i | ||||
\(331\) | 2.95624e6 | 1.48310 | 0.741548 | − | 0.670900i | \(-0.234092\pi\) | ||||
0.741548 | + | 0.670900i | \(0.234092\pi\) | |||||||
\(332\) | 120571. | − | 528256.i | 0.0600340 | − | 0.263026i | ||||
\(333\) | 371158. | − | 178740.i | 0.183421 | − | 0.0883307i | ||||
\(334\) | 4.12622e6 | − | 1.98708e6i | 2.02389 | − | 0.974653i | ||||
\(335\) | −142835. | + | 625800.i | −0.0695379 | + | 0.304666i | ||||
\(336\) | −5678.90 | −0.00274420 | ||||||||
\(337\) | 6700.03 | − | 29354.7i | 0.00321367 | − | 0.0140800i | −0.973296 | − | 0.229555i | \(-0.926273\pi\) |
0.976509 | + | 0.215475i | \(0.0691300\pi\) | |||||||
\(338\) | −1.40963e6 | − | 1.76762e6i | −0.671141 | − | 0.841584i | ||||
\(339\) | −151759. | − | 664899.i | −0.0717224 | − | 0.314236i | ||||
\(340\) | 134698. | + | 590148.i | 0.0631920 | + | 0.276862i | ||||
\(341\) | −659648. | + | 827173.i | −0.307204 | + | 0.385221i | ||||
\(342\) | −198702. | + | 95689.7i | −0.0918621 | + | 0.0442384i | ||||
\(343\) | 47651.5 | + | 22947.7i | 0.0218696 | + | 0.0105318i | ||||
\(344\) | −469239. | − | 588407.i | −0.213795 | − | 0.268091i | ||||
\(345\) | 151234. | − | 189641.i | 0.0684070 | − | 0.0857796i | ||||
\(346\) | −2.81714e6 | − | 1.35666e6i | −1.26508 | − | 0.609231i | ||||
\(347\) | −1.61638e6 | −0.720643 | −0.360321 | − | 0.932828i | \(-0.617333\pi\) | ||||
−0.360321 | + | 0.932828i | \(0.617333\pi\) | |||||||
\(348\) | −92022.7 | + | 158800.i | −0.0407330 | + | 0.0702914i | ||||
\(349\) | 2.62219e6 | 1.15239 | 0.576197 | − | 0.817311i | \(-0.304536\pi\) | ||||
0.576197 | + | 0.817311i | \(0.304536\pi\) | |||||||
\(350\) | 12207.2 | + | 5878.69i | 0.00532656 | + | 0.00256514i | ||||
\(351\) | −166689. | + | 209021.i | −0.0722169 | + | 0.0905571i | ||||
\(352\) | −1.30935e6 | − | 1.64187e6i | −0.563245 | − | 0.706287i | ||||
\(353\) | −895634. | − | 431314.i | −0.382555 | − | 0.184229i | 0.232716 | − | 0.972545i | \(-0.425239\pi\) |
−0.615270 | + | 0.788316i | \(0.710953\pi\) | |||||||
\(354\) | 740785. | − | 356743.i | 0.314184 | − | 0.151303i | ||||
\(355\) | 1.02173e6 | − | 1.28121e6i | 0.430293 | − | 0.539571i | ||||
\(356\) | 311354. | + | 1.36413e6i | 0.130206 | + | 0.570468i | ||||
\(357\) | 968.180 | + | 4241.87i | 0.000402055 | + | 0.00176152i | ||||
\(358\) | 1.29696e6 | + | 1.62633e6i | 0.534832 | + | 0.670658i | ||||
\(359\) | −933115. | + | 4.08824e6i | −0.382119 | + | 1.67417i | 0.308710 | + | 0.951156i | \(0.400103\pi\) |
−0.690829 | + | 0.723018i | \(0.742754\pi\) | |||||||
\(360\) | 1.21841e6 | 0.495494 | ||||||||
\(361\) | 546755. | − | 2.39549e6i | 0.220813 | − | 0.967446i | ||||
\(362\) | 1.61004e6 | − | 775355.i | 0.645752 | − | 0.310978i | ||||
\(363\) | −67621.2 | + | 32564.7i | −0.0269350 | + | 0.0129712i | ||||
\(364\) | −994.013 | + | 4355.06i | −0.000393223 | + | 0.00172282i | ||||
\(365\) | −2.21746e6 | −0.871213 | ||||||||
\(366\) | −110080. | + | 482291.i | −0.0429541 | + | 0.188194i | ||||
\(367\) | 3.05240e6 | + | 3.82759e6i | 1.18298 | + | 1.48341i | 0.838745 | + | 0.544524i | \(0.183290\pi\) |
0.344233 | + | 0.938884i | \(0.388139\pi\) | |||||||
\(368\) | 565696. | + | 2.47848e6i | 0.217753 | + | 0.954037i | ||||
\(369\) | −635422. | − | 2.78397e6i | −0.242939 | − | 1.06438i | ||||
\(370\) | 320880. | − | 402371.i | 0.121854 | − | 0.152800i | ||||
\(371\) | 20298.6 | − | 9775.28i | 0.00765651 | − | 0.00368718i | ||||
\(372\) | 89184.2 | + | 42948.9i | 0.0334142 | + | 0.0160914i | ||||
\(373\) | −212550. | − | 266530.i | −0.0791024 | − | 0.0991913i | 0.740706 | − | 0.671830i | \(-0.234491\pi\) |
−0.819808 | + | 0.572638i | \(0.805920\pi\) | |||||||
\(374\) | −1.79907e6 | + | 2.25596e6i | −0.665072 | + | 0.833973i | ||||
\(375\) | 481995. | + | 232117.i | 0.176996 | + | 0.0852370i | ||||
\(376\) | 658872. | 0.240343 | ||||||||
\(377\) | −656158. | − | 610785.i | −0.237769 | − | 0.221327i | ||||
\(378\) | −14468.3 | −0.00520822 | ||||||||
\(379\) | 375172. | + | 180673.i | 0.134163 | + | 0.0646094i | 0.499761 | − | 0.866163i | \(-0.333421\pi\) |
−0.365598 | + | 0.930773i | \(0.619136\pi\) | |||||||
\(380\) | −53165.0 | + | 66666.8i | −0.0188872 | + | 0.0236838i | ||||
\(381\) | 174661. | + | 219018.i | 0.0616431 | + | 0.0772980i | ||||
\(382\) | −1.26839e6 | − | 610826.i | −0.444729 | − | 0.214170i | ||||
\(383\) | −270089. | + | 130068.i | −0.0940826 | + | 0.0453078i | −0.480333 | − | 0.877086i | \(-0.659484\pi\) |
0.386251 | + | 0.922394i | \(0.373770\pi\) | |||||||
\(384\) | 367674. | − | 461049.i | 0.127243 | − | 0.159558i | ||||
\(385\) | −6541.15 | − | 28658.7i | −0.00224907 | − | 0.00985381i | ||||
\(386\) | 288640. | + | 1.26461e6i | 0.0986025 | + | 0.432006i | ||||
\(387\) | −917419. | − | 1.15041e6i | −0.311380 | − | 0.390458i | ||||
\(388\) | 88440.9 | − | 387485.i | 0.0298246 | − | 0.130670i | ||||
\(389\) | −3.18574e6 | −1.06742 | −0.533712 | − | 0.845667i | \(-0.679203\pi\) | ||||
−0.533712 | + | 0.845667i | \(0.679203\pi\) | |||||||
\(390\) | −36539.9 | + | 160092.i | −0.0121648 | + | 0.0532976i | ||||
\(391\) | 1.75486e6 | − | 845098.i | 0.580499 | − | 0.279554i | ||||
\(392\) | −1.81995e6 | + | 876442.i | −0.598197 | + | 0.288077i | ||||
\(393\) | 20966.7 | − | 91861.1i | 0.00684776 | − | 0.0300020i | ||||
\(394\) | −891413. | −0.289293 | ||||||||
\(395\) | 554200. | − | 2.42811e6i | 0.178720 | − | 0.783025i | ||||
\(396\) | −910282. | − | 1.14146e6i | −0.291701 | − | 0.365782i | ||||
\(397\) | −48952.7 | − | 214476.i | −0.0155883 | − | 0.0682970i | 0.966535 | − | 0.256533i | \(-0.0825802\pi\) |
−0.982124 | + | 0.188236i | \(0.939723\pi\) | |||||||
\(398\) | 426561. | + | 1.86888e6i | 0.134981 | + | 0.591391i | ||||
\(399\) | −382.140 | + | 479.188i | −0.000120168 | + | 0.000150686i | ||||
\(400\) | −1.45555e6 | + | 700955.i | −0.454859 | + | 0.219049i | ||||
\(401\) | 806388. | + | 388336.i | 0.250428 | + | 0.120600i | 0.554887 | − | 0.831926i | \(-0.312761\pi\) |
−0.304459 | + | 0.952525i | \(0.598476\pi\) | |||||||
\(402\) | 178491. | + | 223821.i | 0.0550873 | + | 0.0690773i | ||||
\(403\) | −301444. | + | 377998.i | −0.0924578 | + | 0.115938i | ||||
\(404\) | 1.59728e6 | + | 769210.i | 0.486887 | + | 0.234472i | ||||
\(405\) | 2.29847e6 | 0.696308 | ||||||||
\(406\) | 3702.92 | − | 48371.9i | 0.00111488 | − | 0.0145639i | ||||
\(407\) | 759247. | 0.227194 | ||||||||
\(408\) | −299461. | − | 144213.i | −0.0890616 | − | 0.0428898i | ||||
\(409\) | −2.85721e6 | + | 3.58283e6i | −0.844568 | + | 1.05905i | 0.152922 | + | 0.988238i | \(0.451132\pi\) |
−0.997489 | + | 0.0708163i | \(0.977440\pi\) | |||||||
\(410\) | −2.22426e6 | − | 2.78913e6i | −0.653470 | − | 0.819426i | ||||
\(411\) | 1.06903e6 | + | 514816.i | 0.312165 | + | 0.150331i | ||||
\(412\) | 2.31758e6 | − | 1.11609e6i | 0.672653 | − | 0.323933i | ||||
\(413\) | −41936.5 | + | 52586.7i | −0.0120981 | + | 0.0151705i | ||||
\(414\) | 708586. | + | 3.10452e6i | 0.203185 | + | 0.890212i | ||||
\(415\) | 362576. | + | 1.58855e6i | 0.103342 | + | 0.452772i | ||||
\(416\) | −598340. | − | 750294.i | −0.169518 | − | 0.212568i | ||||
\(417\) | −263909. | + | 1.15626e6i | −0.0743214 | + | 0.325623i | ||||
\(418\) | −406468. | −0.113785 | ||||||||
\(419\) | 189754. | − | 831367.i | 0.0528027 | − | 0.231344i | −0.941640 | − | 0.336621i | \(-0.890716\pi\) |
0.994443 | + | 0.105277i | \(0.0335730\pi\) | |||||||
\(420\) | −2477.93 | + | 1193.31i | −0.000685433 | + | 0.000330087i | ||||
\(421\) | 316446. | − | 152392.i | 0.0870151 | − | 0.0419043i | −0.389870 | − | 0.920870i | \(-0.627480\pi\) |
0.476885 | + | 0.878966i | \(0.341766\pi\) | |||||||
\(422\) | −525994. | + | 2.30453e6i | −0.143780 | + | 0.629943i | ||||
\(423\) | 1.28818e6 | 0.350045 | ||||||||
\(424\) | −382977. | + | 1.67793e6i | −0.103456 | + | 0.453272i | ||||
\(425\) | 771734. | + | 967724.i | 0.207250 | + | 0.259884i | ||||
\(426\) | −162630. | − | 712530.i | −0.0434188 | − | 0.190230i | ||||
\(427\) | −9005.07 | − | 39453.8i | −0.00239011 | − | 0.0104717i | ||||
\(428\) | 1.71899e6 | − | 2.15555e6i | 0.453592 | − | 0.568786i | ||||
\(429\) | −218261. | + | 105109.i | −0.0572576 | + | 0.0275738i | ||||
\(430\) | −1.65620e6 | − | 797584.i | −0.431958 | − | 0.208020i | ||||
\(431\) | 1.77364e6 | + | 2.22408e6i | 0.459911 | + | 0.576710i | 0.956668 | − | 0.291180i | \(-0.0940477\pi\) |
−0.496758 | + | 0.867889i | \(0.665476\pi\) | |||||||
\(432\) | 1.07562e6 | − | 1.34878e6i | 0.277299 | − | 0.347722i | ||||
\(433\) | 2.12875e6 | + | 1.02515e6i | 0.545638 | + | 0.262766i | 0.686333 | − | 0.727287i | \(-0.259219\pi\) |
−0.140695 | + | 0.990053i | \(0.544934\pi\) | |||||||
\(434\) | −26164.8 | −0.00666797 | ||||||||
\(435\) | 42127.0 | − | 550312.i | 0.0106742 | − | 0.139440i | ||||
\(436\) | −1.92816e6 | −0.485767 | ||||||||
\(437\) | 247202. | + | 119046.i | 0.0619224 | + | 0.0298202i | ||||
\(438\) | −616610. | + | 773205.i | −0.153577 | + | 0.192579i | ||||
\(439\) | 3.62508e6 | + | 4.54571e6i | 0.897752 | + | 1.12575i | 0.991494 | + | 0.130149i | \(0.0415457\pi\) |
−0.0937421 | + | 0.995597i | \(0.529883\pi\) | |||||||
\(440\) | 2.02320e6 | + | 974322.i | 0.498204 | + | 0.239922i | ||||
\(441\) | −3.55823e6 | + | 1.71355e6i | −0.871238 | + | 0.419566i | ||||
\(442\) | −822131. | + | 1.03092e6i | −0.200164 | + | 0.250997i | ||||
\(443\) | −1.66277e6 | − | 7.28508e6i | −0.402553 | − | 1.76370i | −0.616999 | − | 0.786964i | \(-0.711652\pi\) |
0.214446 | − | 0.976736i | \(-0.431205\pi\) | |||||||
\(444\) | −15807.0 | − | 69254.9i | −0.00380532 | − | 0.0166722i | ||||
\(445\) | −2.62343e6 | − | 3.28967e6i | −0.628014 | − | 0.787504i | ||||
\(446\) | 1.34059e6 | − | 5.87351e6i | 0.319123 | − | 1.39817i | ||||
\(447\) | −63485.5 | −0.0150282 | ||||||||
\(448\) | −2754.57 | + | 12068.5i | −0.000648423 | + | 0.00284093i | ||||
\(449\) | 284957. | − | 137228.i | 0.0667057 | − | 0.0321238i | −0.400233 | − | 0.916413i | \(-0.631071\pi\) |
0.466939 | + | 0.884289i | \(0.345357\pi\) | |||||||
\(450\) | −1.82321e6 | + | 878011.i | −0.424429 | + | 0.204394i | ||||
\(451\) | 1.17111e6 | − | 5.13095e6i | 0.271116 | − | 1.18784i | ||||
\(452\) | 3.46171e6 | 0.796976 | ||||||||
\(453\) | −216630. | + | 949120.i | −0.0495991 | + | 0.217308i | ||||
\(454\) | −3.13090e6 | − | 3.92602e6i | −0.712902 | − | 0.893950i | ||||
\(455\) | −2989.15 | − | 13096.3i | −0.000676892 | − | 0.00296566i | ||||
\(456\) | −10418.6 | − | 45646.9i | −0.00234638 | − | 0.0102801i | ||||
\(457\) | −579581. | + | 726771.i | −0.129815 | + | 0.162782i | −0.842491 | − | 0.538711i | \(-0.818912\pi\) |
0.712676 | + | 0.701493i | \(0.247483\pi\) | |||||||
\(458\) | −2.42370e6 | + | 1.16719e6i | −0.539902 | + | 0.260003i | ||||
\(459\) | −1.19086e6 | − | 573486.i | −0.263832 | − | 0.127055i | ||||
\(460\) | 767638. | + | 962587.i | 0.169146 | + | 0.212102i | ||||
\(461\) | 4.30565e6 | − | 5.39911e6i | 0.943597 | − | 1.18323i | −0.0393285 | − | 0.999226i | \(-0.512522\pi\) |
0.982925 | − | 0.184006i | \(-0.0589067\pi\) | |||||||
\(462\) | −11811.8 | − | 5688.28i | −0.00257462 | − | 0.00123987i | ||||
\(463\) | −2.18677e6 | −0.474080 | −0.237040 | − | 0.971500i | \(-0.576177\pi\) | ||||
−0.237040 | + | 0.971500i | \(0.576177\pi\) | |||||||
\(464\) | 4.23408e6 | + | 3.94130e6i | 0.912987 | + | 0.849854i | ||||
\(465\) | −297669. | −0.0638413 | ||||||||
\(466\) | −2.82213e6 | − | 1.35907e6i | −0.602022 | − | 0.289918i | ||||
\(467\) | 3.46593e6 | − | 4.34614e6i | 0.735407 | − | 0.922171i | −0.263693 | − | 0.964607i | \(-0.584940\pi\) |
0.999099 | + | 0.0424360i | \(0.0135119\pi\) | |||||||
\(468\) | −415978. | − | 521619.i | −0.0877921 | − | 0.110088i | ||||
\(469\) | −21099.8 | − | 10161.1i | −0.00442940 | − | 0.00213309i | ||||
\(470\) | 1.44994e6 | − | 698253.i | 0.302764 | − | 0.145804i | ||||
\(471\) | −75324.1 | + | 94453.4i | −0.0156452 | + | 0.0196185i | ||||
\(472\) | −1.14335e6 | − | 5.00934e6i | −0.236224 | − | 1.03496i | ||||
\(473\) | −603453. | − | 2.64390e6i | −0.124020 | − | 0.543366i | ||||
\(474\) | −692548. | − | 868428.i | −0.141581 | − | 0.177537i | ||||
\(475\) | −38798.7 | + | 169988.i | −0.00789011 | + | 0.0345688i | ||||
\(476\) | −22084.8 | −0.00446762 | ||||||||
\(477\) | −748766. | + | 3.28056e6i | −0.150678 | + | 0.660164i | ||||
\(478\) | −7.93370e6 | + | 3.82067e6i | −1.58820 | + | 0.764838i | ||||
\(479\) | −3.94168e6 | + | 1.89821e6i | −0.784952 | + | 0.378013i | −0.783029 | − | 0.621985i | \(-0.786326\pi\) |
−0.00192271 | + | 0.999998i | \(0.500612\pi\) | |||||||
\(480\) | 131476. | − | 576035.i | 0.0260462 | − | 0.114116i | ||||
\(481\) | 346958. | 0.0683776 | ||||||||
\(482\) | 539016. | − | 2.36158e6i | 0.105678 | − | 0.463005i | ||||
\(483\) | 5517.63 | + | 6918.89i | 0.00107618 | + | 0.00134949i | ||||
\(484\) | −84771.9 | − | 371410.i | −0.0164490 | − | 0.0720677i | ||||
\(485\) | 265956. | + | 1.16523e6i | 0.0513399 | + | 0.224935i | ||||
\(486\) | 2.03222e6 | − | 2.54832e6i | 0.390283 | − | 0.489399i | ||||
\(487\) | 2.63194e6 | − | 1.26748e6i | 0.502868 | − | 0.242168i | −0.165212 | − | 0.986258i | \(-0.552831\pi\) |
0.668080 | + | 0.744090i | \(0.267117\pi\) | |||||||
\(488\) | 2.78530e6 | + | 1.34133e6i | 0.529447 | + | 0.254968i | ||||
\(489\) | −66824.0 | − | 83794.7i | −0.0126375 | − | 0.0158469i | ||||
\(490\) | −3.07622e6 | + | 3.85746e6i | −0.578799 | + | 0.725790i | ||||
\(491\) | 3.71946e6 | + | 1.79120e6i | 0.696267 | + | 0.335304i | 0.748318 | − | 0.663340i | \(-0.230862\pi\) |
−0.0520513 | + | 0.998644i | \(0.516576\pi\) | |||||||
\(492\) | −492403. | −0.0917082 | ||||||||
\(493\) | 2.22211e6 | − | 3.83461e6i | 0.411764 | − | 0.710565i | ||||
\(494\) | −185746. | −0.0342454 | ||||||||
\(495\) | 3.95560e6 | + | 1.90492e6i | 0.725604 | + | 0.349432i | ||||
\(496\) | 1.94517e6 | − | 2.43916e6i | 0.355020 | − | 0.445181i | ||||
\(497\) | 37276.9 | + | 46743.8i | 0.00676938 | + | 0.00848854i | ||||
\(498\) | 654730. | + | 315301.i | 0.118301 | + | 0.0569708i | ||||
\(499\) | −6.97428e6 | + | 3.35863e6i | −1.25386 | + | 0.603825i | −0.938543 | − | 0.345162i | \(-0.887824\pi\) |
−0.315313 | + | 0.948988i | \(0.602110\pi\) | |||||||
\(500\) | −1.69305e6 | + | 2.12302e6i | −0.302862 | + | 0.379778i | ||||
\(501\) | 422994. | + | 1.85326e6i | 0.0752905 | + | 0.329869i | ||||
\(502\) | 1.34345e6 | + | 5.88604e6i | 0.237937 | + | 1.04247i | ||||
\(503\) | 3.64779e6 | + | 4.57419e6i | 0.642851 | + | 0.806109i | 0.991356 | − | 0.131197i | \(-0.0418822\pi\) |
−0.348506 | + | 0.937307i | \(0.613311\pi\) | |||||||
\(504\) | −9891.69 | + | 43338.3i | −0.00173458 | + | 0.00759968i | ||||
\(505\) | −5.33123e6 | −0.930249 | ||||||||
\(506\) | −1.30595e6 | + | 5.72175e6i | −0.226752 | + | 0.993465i | ||||
\(507\) | 845487. | − | 407165.i | 0.146079 | − | 0.0703478i | ||||
\(508\) | −1.28111e6 | + | 616948.i | −0.220255 | + | 0.106069i | ||||
\(509\) | 1.32011e6 | − | 5.78380e6i | 0.225848 | − | 0.989507i | −0.727137 | − | 0.686492i | \(-0.759150\pi\) |
0.952986 | − | 0.303015i | \(-0.0979931\pi\) | |||||||
\(510\) | −811838. | −0.138211 | ||||||||
\(511\) | 18002.5 | − | 78874.0i | 0.00304986 | − | 0.0133623i | ||||
\(512\) | 797763. | + | 1.00036e6i | 0.134493 | + | 0.168649i | ||||
\(513\) | −41431.3 | − | 181522.i | −0.00695080 | − | 0.0304535i | ||||
\(514\) | 2.63267e6 | + | 1.15345e7i | 0.439530 | + | 1.92571i | ||||
\(515\) | −4.82292e6 | + | 6.04775e6i | −0.801294 | + | 1.00479i | ||||
\(516\) | −228601. | + | 110088.i | −0.0377967 | + | 0.0182019i | ||||
\(517\) | 2.13904e6 | + | 1.03011e6i | 0.351959 | + | 0.169495i | ||||
\(518\) | 11707.0 | + | 14680.2i | 0.00191700 | + | 0.00240385i | ||||
\(519\) | 809188. | − | 1.01469e6i | 0.131865 | − | 0.165354i | ||||
\(520\) | 924554. | + | 445242.i | 0.149942 | + | 0.0722084i | ||||
\(521\) | 9.29242e6 | 1.49980 | 0.749902 | − | 0.661549i | \(-0.230101\pi\) | ||||
0.749902 | + | 0.661549i | \(0.230101\pi\) | |||||||
\(522\) | 5.30358e6 | + | 4.93684e6i | 0.851908 | + | 0.792999i | ||||
\(523\) | −8.66695e6 | −1.38552 | −0.692759 | − | 0.721170i | \(-0.743605\pi\) | ||||
−0.692759 | + | 0.721170i | \(0.743605\pi\) | |||||||
\(524\) | 430901. | + | 207511.i | 0.0685566 | + | 0.0330151i | ||||
\(525\) | −3506.37 | + | 4396.85i | −0.000555212 | + | 0.000696214i | ||||
\(526\) | 2.35627e6 | + | 2.95467e6i | 0.371330 | + | 0.465634i | ||||
\(527\) | −2.15357e6 | − | 1.03710e6i | −0.337779 | − | 0.162666i | ||||
\(528\) | 1.40840e6 | − | 678252.i | 0.219858 | − | 0.105878i | ||||
\(529\) | −1.54297e6 | + | 1.93482e6i | −0.239728 | + | 0.300609i | ||||
\(530\) | 935429. | + | 4.09838e6i | 0.144651 | + | 0.633757i | ||||
\(531\) | −2.23539e6 | − | 9.79387e6i | −0.344046 | − | 1.50736i | ||||
\(532\) | −1939.68 | − | 2432.29i | −0.000297133 | − | 0.000372594i | ||||
\(533\) | 535168. | − | 2.34473e6i | 0.0815966 | − | 0.357498i | ||||
\(534\) | −1.87657e6 | −0.284781 | ||||||||
\(535\) | −1.84490e6 | + | 8.08302e6i | −0.278668 | + | 1.22093i | ||||
\(536\) | 1.61184e6 | − | 776223.i | 0.242332 | − | 0.116701i | ||||
\(537\) | −777905. | + | 374619.i | −0.116410 | + | 0.0560601i | ||||
\(538\) | 873999. | − | 3.82924e6i | 0.130183 | − | 0.570370i | ||||
\(539\) | −7.27877e6 | −1.07916 | ||||||||
\(540\) | 185915. | − | 814546.i | 0.0274365 | − | 0.120207i | ||||
\(541\) | 5.53202e6 | + | 6.93693e6i | 0.812625 | + | 1.01900i | 0.999331 | + | 0.0365840i | \(0.0116477\pi\) |
−0.186705 | + | 0.982416i | \(0.559781\pi\) | |||||||
\(542\) | −3.36694e6 | − | 1.47515e7i | −0.492308 | − | 2.15694i | ||||
\(543\) | 165051. | + | 723137.i | 0.0240226 | + | 0.105250i | ||||
\(544\) | 2.95815e6 | − | 3.70940e6i | 0.428571 | − | 0.537411i | ||||
\(545\) | 5.22408e6 | − | 2.51578e6i | 0.753388 | − | 0.362812i | ||||
\(546\) | −5397.73 | − | 2599.41i | −0.000774872 | − | 0.000373159i | ||||
\(547\) | −3.69781e6 | − | 4.63691e6i | −0.528417 | − | 0.662614i | 0.443955 | − | 0.896049i | \(-0.353575\pi\) |
−0.972372 | + | 0.233435i | \(0.925003\pi\) | |||||||
\(548\) | −3.75506e6 | + | 4.70869e6i | −0.534152 | + | 0.669806i | ||||
\(549\) | 5.44560e6 | + | 2.62246e6i | 0.771107 | + | 0.371346i | ||||
\(550\) | −3.72959e6 | −0.525719 | ||||||||
\(551\) | 617486. | − | 92059.4i | 0.0866459 | − | 0.0129178i | ||||
\(552\) | −676035. | −0.0944325 | ||||||||
\(553\) | 81867.3 | + | 39425.2i | 0.0113841 | + | 0.00548228i | ||||
\(554\) | 7.85365e6 | − | 9.84816e6i | 1.08717 | − | 1.36327i | ||||
\(555\) | 133188. | + | 167012.i | 0.0183540 | + | 0.0230152i | ||||
\(556\) | −5.42377e6 | − | 2.61195e6i | −0.744071 | − | 0.358326i | ||||
\(557\) | −1.82592e6 | + | 879318.i | −0.249370 | + | 0.120090i | −0.554394 | − | 0.832254i | \(-0.687050\pi\) |
0.305024 | + | 0.952345i | \(0.401336\pi\) | |||||||
\(558\) | 2.43650e6 | − | 3.05528e6i | 0.331269 | − | 0.415399i | ||||
\(559\) | −275764. | − | 1.20820e6i | −0.0373257 | − | 0.163535i | ||||
\(560\) | 19288.5 | + | 84508.6i | 0.00259914 | + | 0.0113876i | ||||
\(561\) | −746738. | − | 936380.i | −0.100175 | − | 0.125616i | ||||
\(562\) | 3.67090e6 | − | 1.60832e7i | 0.490265 | − | 2.14799i | ||||
\(563\) | −9.60091e6 | −1.27656 | −0.638280 | − | 0.769804i | \(-0.720354\pi\) | ||||
−0.638280 | + | 0.769804i | \(0.720354\pi\) | |||||||
\(564\) | 49428.3 | − | 216559.i | 0.00654301 | − | 0.0286668i | ||||
\(565\) | −9.37901e6 | + | 4.51669e6i | −1.23605 | + | 0.595250i | ||||
\(566\) | 8.12555e6 | − | 3.91306e6i | 1.06613 | − | 0.513423i | ||||
\(567\) | −18660.1 | + | 81755.4i | −0.00243757 | + | 0.0106797i | ||||
\(568\) | −4.56727e6 | −0.593999 | ||||||||
\(569\) | −2.02171e6 | + | 8.85771e6i | −0.261782 | + | 1.14694i | 0.657536 | + | 0.753423i | \(0.271599\pi\) |
−0.919317 | + | 0.393517i | \(0.871258\pi\) | |||||||
\(570\) | −71302.8 | − | 89410.9i | −0.00919220 | − | 0.0115267i | ||||
\(571\) | −2.56954e6 | − | 1.12579e7i | −0.329811 | − | 1.44500i | −0.819489 | − | 0.573094i | \(-0.805743\pi\) |
0.489678 | − | 0.871903i | \(-0.337114\pi\) | |||||||
\(572\) | −273619. | − | 1.19880e6i | −0.0349668 | − | 0.153199i | ||||
\(573\) | 364330. | − | 456855.i | 0.0463562 | − | 0.0581289i | ||||
\(574\) | 117266. | − | 56472.1i | 0.0148556 | − | 0.00715409i | ||||
\(575\) | 2.26823e6 | + | 1.09232e6i | 0.286099 | + | 0.137778i | ||||
\(576\) | −1.15274e6 | − | 1.44549e6i | −0.144769 | − | 0.181534i | ||||
\(577\) | 6.67024e6 | − | 8.36422e6i | 0.834069 | − | 1.04589i | −0.164161 | − | 0.986433i | \(-0.552492\pi\) |
0.998231 | − | 0.0594565i | \(-0.0189368\pi\) | |||||||
\(578\) | 2.83503e6 | + | 1.36528e6i | 0.352971 | + | 0.169982i | ||||
\(579\) | −538401. | −0.0667436 | ||||||||
\(580\) | 2.67568e6 | + | 830036.i | 0.330267 | + | 0.102454i | ||||
\(581\) | −59447.3 | −0.00730621 | ||||||||
\(582\) | 480256. | + | 231279.i | 0.0587713 | + | 0.0283028i | ||||
\(583\) | −3.86668e6 | + | 4.84867e6i | −0.471159 | + | 0.590814i | ||||
\(584\) | 3.85333e6 | + | 4.83192e6i | 0.467524 | + | 0.586257i | ||||
\(585\) | 1.80762e6 | + | 870502.i | 0.218382 | + | 0.105167i | ||||
\(586\) | 7.22815e6 | − | 3.48089e6i | 0.869527 | − | 0.418742i | ||||
\(587\) | −4.13171e6 | + | 5.18101e6i | −0.494920 | + | 0.620610i | −0.965075 | − | 0.261974i | \(-0.915627\pi\) |
0.470155 | + | 0.882584i | \(0.344198\pi\) | |||||||
\(588\) | 151539. | + | 663935.i | 0.0180751 | + | 0.0791922i | ||||
\(589\) | −74925.2 | − | 328269.i | −0.00889897 | − | 0.0389889i | ||||
\(590\) | −7.82484e6 | − | 9.81204e6i | −0.925434 | − | 1.16046i | ||||
\(591\) | 82332.3 | − | 360722.i | 0.00969620 | − | 0.0424818i | ||||
\(592\) | −2.23886e6 | −0.262557 | ||||||||
\(593\) | −2.18987e6 | + | 9.59446e6i | −0.255730 | + | 1.12043i | 0.670035 | + | 0.742329i | \(0.266279\pi\) |
−0.925765 | + | 0.378098i | \(0.876578\pi\) | |||||||
\(594\) | 3.58824e6 | − | 1.72801e6i | 0.417269 | − | 0.200946i | ||||
\(595\) | 59835.5 | − | 28815.3i | 0.00692894 | − | 0.00333680i | ||||
\(596\) | 71705.6 | − | 314163.i | 0.00826871 | − | 0.0362276i | ||||
\(597\) | −795666. | −0.0913682 | ||||||||
\(598\) | −596789. | + | 2.61470e6i | −0.0682445 | + | 0.298999i | ||||
\(599\) | −3.56959e6 | − | 4.47613e6i | −0.406492 | − | 0.509724i | 0.535879 | − | 0.844295i | \(-0.319980\pi\) |
−0.942371 | + | 0.334570i | \(0.891409\pi\) | |||||||
\(600\) | −95597.1 | − | 418838.i | −0.0108409 | − | 0.0474972i | ||||
\(601\) | 543538. | + | 2.38139e6i | 0.0613824 | + | 0.268934i | 0.996301 | − | 0.0859274i | \(-0.0273853\pi\) |
−0.934919 | + | 0.354861i | \(0.884528\pi\) | |||||||
\(602\) | 41815.5 | − | 52435.0i | 0.00470269 | − | 0.00589698i | ||||
\(603\) | 3.15135e6 | − | 1.51761e6i | 0.352942 | − | 0.169968i | ||||
\(604\) | −4.45211e6 | − | 2.14403e6i | −0.496563 | − | 0.239132i | ||||
\(605\) | 714277. | + | 895675.i | 0.0793374 | + | 0.0994860i | ||||
\(606\) | −1.48246e6 | + | 1.85894e6i | −0.163983 | + | 0.205629i | ||||
\(607\) | 9.26733e6 | + | 4.46291e6i | 1.02090 | + | 0.491639i | 0.867980 | − | 0.496600i | \(-0.165418\pi\) |
0.152919 | + | 0.988239i | \(0.451133\pi\) | |||||||
\(608\) | 668342. | 0.0733229 | ||||||||
\(609\) | 19232.3 | + | 5966.14i | 0.00210130 | + | 0.000651854i | ||||
\(610\) | 7.55093e6 | 0.821629 | ||||||||
\(611\) | 977491. | + | 470735.i | 0.105928 | + | 0.0510121i | ||||
\(612\) | 2.05656e6 | − | 2.57885e6i | 0.221954 | − | 0.278322i | ||||
\(613\) | 6.29212e6 | + | 7.89007e6i | 0.676310 | + | 0.848066i | 0.995009 | − | 0.0997902i | \(-0.0318171\pi\) |
−0.318698 | + | 0.947856i | \(0.603246\pi\) | |||||||
\(614\) | −491550. | − | 236718.i | −0.0526195 | − | 0.0253402i | ||||
\(615\) | 1.33409e6 | − | 642466.i | 0.142233 | − | 0.0684956i | ||||
\(616\) | −51081.4 | + | 64054.1i | −0.00542389 | + | 0.00680135i | ||||
\(617\) | 1.38140e6 | + | 6.05229e6i | 0.146085 | + | 0.640040i | 0.993951 | + | 0.109828i | \(0.0350302\pi\) |
−0.847866 | + | 0.530211i | \(0.822113\pi\) | |||||||
\(618\) | 767673. | + | 3.36339e6i | 0.0808546 | + | 0.354247i | ||||
\(619\) | −805090. | − | 1.00955e6i | −0.0844536 | − | 0.105901i | 0.737810 | − | 0.675009i | \(-0.235860\pi\) |
−0.822263 | + | 0.569108i | \(0.807289\pi\) | |||||||
\(620\) | 336212. | − | 1.47304e6i | 0.0351264 | − | 0.153899i | ||||
\(621\) | −2.68836e6 | −0.279743 | ||||||||
\(622\) | −3.11156e6 | + | 1.36326e7i | −0.322480 | + | 1.41288i | ||||
\(623\) | 138310. | − | 66606.7i | 0.0142769 | − | 0.00687539i | ||||
\(624\) | 643608. | − | 309945.i | 0.0661698 | − | 0.0318657i | ||||
\(625\) | 937503. | − | 4.10747e6i | 0.0960003 | − | 0.420605i | ||||
\(626\) | −9.67949e6 | −0.987226 | ||||||||
\(627\) | 37542.0 | − | 164482.i | 0.00381372 | − | 0.0167090i | ||||
\(628\) | −382333. | − | 479431.i | −0.0386850 | − | 0.0485095i | ||||
\(629\) | 381698. | + | 1.67233e6i | 0.0384674 | + | 0.168537i | ||||
\(630\) | 24160.7 | + | 105855.i | 0.00242525 | + | 0.0106257i | ||||
\(631\) | −3.99658e6 | + | 5.01155e6i | −0.399591 | + | 0.501071i | −0.940398 | − | 0.340076i | \(-0.889547\pi\) |
0.540808 | + | 0.841146i | \(0.318119\pi\) | |||||||
\(632\) | −6.25397e6 | + | 3.01175e6i | −0.622821 | + | 0.299935i | ||||
\(633\) | −883977. | − | 425701.i | −0.0876862 | − | 0.0422275i | ||||
\(634\) | 1.20766e7 | + | 1.51436e7i | 1.19322 | + | 1.49625i | ||||
\(635\) | 2.66600e6 | − | 3.34306e6i | 0.262377 | − | 0.329011i | ||||
\(636\) | 522775. | + | 251755.i | 0.0512474 | + | 0.0246794i | ||||
\(637\) | −3.32623e6 | −0.324790 | ||||||||
\(638\) | 4.85888e6 | + | 1.24388e7i | 0.472590 | + | 1.20984i | ||||
\(639\) | −8.92956e6 | −0.865123 | ||||||||
\(640\) | −8.10976e6 | − | 3.90545e6i | −0.782633 | − | 0.376896i | ||||
\(641\) | 1.03255e7 | − | 1.29478e7i | 0.992586 | − | 1.24466i | 0.0230444 | − | 0.999734i | \(-0.492664\pi\) |
0.969541 | − | 0.244928i | \(-0.0787645\pi\) | |||||||
\(642\) | 2.30545e6 | + | 2.89094e6i | 0.220758 | + | 0.276822i | ||||
\(643\) | −4.17580e6 | − | 2.01096e6i | −0.398301 | − | 0.191812i | 0.224001 | − | 0.974589i | \(-0.428088\pi\) |
−0.622302 | + | 0.782777i | \(0.713802\pi\) | |||||||
\(644\) | −40470.8 | + | 19489.7i | −0.00384527 | + | 0.00185178i | ||||
\(645\) | 475722. | − | 596537.i | 0.0450250 | − | 0.0564596i | ||||
\(646\) | −204344. | − | 895291.i | −0.0192656 | − | 0.0844079i | ||||
\(647\) | 2.16921e6 | + | 9.50391e6i | 0.203723 | + | 0.892569i | 0.968646 | + | 0.248446i | \(0.0799200\pi\) |
−0.764923 | + | 0.644122i | \(0.777223\pi\) | |||||||
\(648\) | −3.99410e6 | − | 5.00844e6i | −0.373664 | − | 0.468560i | ||||
\(649\) | 4.11990e6 | − | 1.80505e7i | 0.383950 | − | 1.68220i | ||||
\(650\) | −1.70433e6 | −0.158224 | ||||||||
\(651\) | 2416.63 | − | 10587.9i | 0.000223490 | − | 0.000979172i | ||||
\(652\) | 490141. | − | 236040.i | 0.0451546 | − | 0.0217453i | ||||
\(653\) | −1.25790e7 | + | 6.05772e6i | −1.15442 | + | 0.555938i | −0.910358 | − | 0.413822i | \(-0.864194\pi\) |
−0.244060 | + | 0.969760i | \(0.578479\pi\) | |||||||
\(654\) | 575434. | − | 2.52114e6i | 0.0526079 | − | 0.230490i | ||||
\(655\) | −1.43821e6 | −0.130985 | ||||||||
\(656\) | −3.45336e6 | + | 1.51301e7i | −0.313315 | + | 1.37272i | ||||
\(657\) | 7.53373e6 | + | 9.44700e6i | 0.680921 | + | 0.853848i | ||||
\(658\) | 13065.2 | + | 57242.3i | 0.00117639 | + | 0.00515409i | ||||
\(659\) | −4.04940e6 | − | 1.77416e7i | −0.363226 | − | 1.59140i | −0.744950 | − | 0.667121i | \(-0.767526\pi\) |
0.381724 | − | 0.924277i | \(-0.375331\pi\) | |||||||
\(660\) | 472021. | − | 591896.i | 0.0421795 | − | 0.0528914i | ||||
\(661\) | 1.23054e7 | − | 5.92598e6i | 1.09545 | − | 0.527542i | 0.203226 | − | 0.979132i | \(-0.434857\pi\) |
0.892225 | + | 0.451590i | \(0.149143\pi\) | |||||||
\(662\) | −1.81317e7 | − | 8.73175e6i | −1.60802 | − | 0.774384i | ||||
\(663\) | −341242. | − | 427903.i | −0.0301494 | − | 0.0378061i | ||||
\(664\) | 2.83144e6 | − | 3.55051e6i | 0.249222 | − | 0.312515i | ||||
\(665\) | 8428.83 | + | 4059.11i | 0.000739117 | + | 0.000355940i | ||||
\(666\) | −2.80438e6 | −0.244992 | ||||||||
\(667\) | 688040. | − | 8.98798e6i | 0.0598823 | − | 0.782254i | ||||
\(668\) | −9.64877e6 | −0.836625 | ||||||||
\(669\) | 2.25297e6 | + | 1.08497e6i | 0.194621 | + | 0.0937247i | ||||
\(670\) | 2.72446e6 | − | 3.41637e6i | 0.234474 | − | 0.294021i | ||||
\(671\) | 6.94543e6 | + | 8.70930e6i | 0.595515 | + | 0.746753i | ||||
\(672\) | 19421.8 | + | 9353.07i | 0.00165908 | + | 0.000798971i | ||||
\(673\) | −1.03207e7 | + | 4.97021e6i | −0.878361 | + | 0.422996i | −0.818026 | − | 0.575182i | \(-0.804931\pi\) |
−0.0603354 | + | 0.998178i | \(0.519217\pi\) | |||||||
\(674\) | −127798. | + | 160253.i | −0.0108361 | + | 0.0135881i | ||||
\(675\) | −380157. | − | 1.66558e6i | −0.0321147 | − | 0.140704i | ||||
\(676\) | 1.05993e6 | + | 4.64384e6i | 0.0892091 | + | 0.390851i | ||||
\(677\) | 5.86609e6 | + | 7.35584e6i | 0.491900 | + | 0.616823i | 0.964381 | − | 0.264518i | \(-0.0852128\pi\) |
−0.472481 | + | 0.881341i | \(0.656641\pi\) | |||||||
\(678\) | −1.03310e6 | + | 4.52631e6i | −0.0863114 | + | 0.378155i | ||||
\(679\) | −43605.7 | −0.00362968 | ||||||||
\(680\) | −1.12893e6 | + | 4.94615e6i | −0.0936254 | + | 0.410200i | ||||
\(681\) | 1.87789e6 | − | 904345.i | 0.155168 | − | 0.0747251i | ||||
\(682\) | 6.48905e6 | − | 3.12496e6i | 0.534220 | − | 0.257267i | ||||
\(683\) | 423756. | − | 1.85659e6i | 0.0347587 | − | 0.152288i | −0.954571 | − | 0.297985i | \(-0.903685\pi\) |
0.989329 | + | 0.145697i | \(0.0465426\pi\) | |||||||
\(684\) | 464644. | 0.0379735 | ||||||||
\(685\) | 4.03008e6 | − | 1.76569e7i | 0.328161 | − | 1.43777i | ||||
\(686\) | −224483. | − | 281493.i | −0.0182127 | − | 0.0228380i | ||||
\(687\) | −248462. | − | 1.08859e6i | −0.0200849 | − | 0.0879975i | ||||
\(688\) | 1.77946e6 | + | 7.79633e6i | 0.143323 | + | 0.627941i | ||||
\(689\) | −1.76698e6 | + | 2.21573e6i | −0.141803 | + | 0.177815i | ||||
\(690\) | −1.48771e6 | + | 716442.i | −0.118958 | + | 0.0572873i | ||||
\(691\) | 1.23186e6 | + | 593232.i | 0.0981445 | + | 0.0472639i | 0.482312 | − | 0.876000i | \(-0.339797\pi\) |
−0.384167 | + | 0.923263i | \(0.625511\pi\) | |||||||
\(692\) | 4.10731e6 | + | 5.15040e6i | 0.326056 | + | 0.408861i | ||||
\(693\) | −99870.4 | + | 125233.i | −0.00789957 | + | 0.00990575i | ||||
\(694\) | 9.91384e6 | + | 4.77426e6i | 0.781346 | + | 0.376276i | ||||
\(695\) | 1.81029e7 | 1.42163 | ||||||||
\(696\) | −1.27235e6 | + | 864492.i | −0.0995599 | + | 0.0676453i | ||||
\(697\) | 1.18903e7 | 0.927064 | ||||||||
\(698\) | −1.60829e7 | − | 7.74510e6i | −1.24947 | − | 0.601711i | ||||
\(699\) | 810620. | − | 1.01649e6i | 0.0627515 | − | 0.0786880i | ||||
\(700\) | −17797.8 | − | 22317.7i | −0.00137284 | − | 0.00172149i | ||||
\(701\) | −1.57170e6 | − | 756892.i | −0.120802 | − | 0.0581753i | 0.372506 | − | 0.928030i | \(-0.378498\pi\) |
−0.493309 | + | 0.869854i | \(0.664213\pi\) | |||||||
\(702\) | 1.63974e6 | − | 789659.i | 0.125584 | − | 0.0604779i | ||||
\(703\) | −150656. | + | 188917.i | −0.0114974 | + | 0.0144172i | ||||
\(704\) | −758240. | − | 3.32207e6i | −0.0576601 | − | 0.252625i | ||||
\(705\) | 148639. | + | 651228.i | 0.0112631 | + | 0.0493469i | ||||
\(706\) | 4.21928e6 | + | 5.29081e6i | 0.318586 | + | 0.399494i | ||||
\(707\) | 43281.6 | − | 189629.i | 0.00325653 | − | 0.0142678i | ||||
\(708\) | −1.73225e6 | −0.129876 | ||||||||
\(709\) | 2.97870e6 | − | 1.30505e7i | 0.222542 | − | 0.975018i | −0.733015 | − | 0.680212i | \(-0.761888\pi\) |
0.955557 | − | 0.294806i | \(-0.0952551\pi\) | |||||||
\(710\) | −1.00509e7 | + | 4.84025e6i | −0.748270 | + | 0.360348i | ||||
\(711\) | −1.22273e7 | + | 5.88835e6i | −0.907101 | + | 0.436837i | ||||
\(712\) | −2.60952e6 | + | 1.14331e7i | −0.192913 | + | 0.845206i | ||||
\(713\) | −4.86169e6 | −0.358149 | ||||||||
\(714\) | 6590.90 | − | 28876.6i | 0.000483837 | − | 0.00211983i | ||||
\(715\) | 2.30547e6 | + | 2.89097e6i | 0.168653 | + | 0.211485i | ||||
\(716\) | −975204. | − | 4.27265e6i | −0.0710907 | − | 0.311469i | ||||
\(717\) | −813313. | − | 3.56336e6i | −0.0590826 | − | 0.258858i | ||||
\(718\) | 1.77984e7 | − | 2.23185e7i | 1.28846 | − | 1.61568i | ||||
\(719\) | 1.25813e7 | − | 6.05882e6i | 0.907616 | − | 0.437085i | 0.0789820 | − | 0.996876i | \(-0.474833\pi\) |
0.828634 | + | 0.559791i | \(0.189119\pi\) | |||||||
\(720\) | −1.16643e7 | − | 5.61721e6i | −0.838544 | − | 0.403822i | ||||
\(721\) | −175960. | − | 220647.i | −0.0126060 | − | 0.0158074i | ||||
\(722\) | −1.04289e7 | + | 1.30775e7i | −0.744556 | + | 0.933643i | ||||
\(723\) | 905860. | + | 436239.i | 0.0644489 | + | 0.0310370i | ||||
\(724\) | −3.76492e6 | −0.266938 | ||||||||
\(725\) | 5.66581e6 | − | 844701.i | 0.400329 | − | 0.0596840i | ||||
\(726\) | 510930. | 0.0359766 | ||||||||
\(727\) | −1.74180e7 | − | 8.38809e6i | −1.22226 | − | 0.588609i | −0.292319 | − | 0.956321i | \(-0.594427\pi\) |
−0.929940 | + | 0.367712i | \(0.880141\pi\) | |||||||
\(728\) | −23343.0 | + | 29271.2i | −0.00163241 | + | 0.00204697i | ||||
\(729\) | −7.23072e6 | − | 9.06704e6i | −0.503921 | − | 0.631897i | ||||
\(730\) | 1.36005e7 | + | 6.54966e6i | 0.944600 | + | 0.454895i | ||||
\(731\) | 5.52012e6 | − | 2.65835e6i | 0.382081 | − | 0.184000i | ||||
\(732\) | 649822. | − | 814851.i | 0.0448246 | − | 0.0562083i | ||||
\(733\) | 340705. | + | 1.49272e6i | 0.0234217 | + | 0.102617i | 0.985288 | − | 0.170904i | \(-0.0546688\pi\) |
−0.961866 | + | 0.273521i | \(0.911812\pi\) | |||||||
\(734\) | −7.41604e6 | − | 3.24918e7i | −0.508080 | − | 2.22604i | ||||
\(735\) | −1.27685e6 | − | 1.60111e6i | −0.0871807 | − | 0.109321i | ||||
\(736\) | 2.14734e6 | − | 9.40809e6i | 0.146119 | − | 0.640187i | ||||
\(737\) | 6.44646e6 | 0.437172 | ||||||||
\(738\) | −4.32565e6 | + | 1.89519e7i | −0.292355 | + | 1.28089i | ||||
\(739\) | 466055. | − | 224440.i | 0.0313925 | − | 0.0151178i | −0.418122 | − | 0.908391i | \(-0.637311\pi\) |
0.449514 | + | 0.893273i | \(0.351597\pi\) | |||||||
\(740\) | −976905. | + | 470452.i | −0.0655802 | + | 0.0315818i | ||||
\(741\) | 17155.8 | − | 75164.5i | 0.00114780 | − | 0.00502884i | ||||
\(742\) | −153371. | −0.0102267 | ||||||||
\(743\) | 1.54300e6 | − | 6.76032e6i | 0.102540 | − | 0.449257i | −0.897427 | − | 0.441163i | \(-0.854566\pi\) |
0.999967 | − | 0.00809471i | \(-0.00257666\pi\) | |||||||
\(744\) | 517266. | + | 648631.i | 0.0342595 | + | 0.0429601i | ||||
\(745\) | 215630. | + | 944737.i | 0.0142337 | + | 0.0623620i | ||||
\(746\) | 516407. | + | 2.26253e6i | 0.0339739 | + | 0.148849i | ||||
\(747\) | 5.53581e6 | − | 6.94168e6i | 0.362977 | − | 0.455159i | ||||
\(748\) | 5.47718e6 | − | 2.63767e6i | 0.357934 | − | 0.172372i | ||||
\(749\) | −272531. | − | 131244.i | −0.0177505 | − | 0.00854820i | ||||
\(750\) | −2.27065e6 | − | 2.84731e6i | −0.147400 | − | 0.184834i | ||||
\(751\) | −1.61995e7 | + | 2.03135e7i | −1.04810 | + | 1.31427i | −0.100452 | + | 0.994942i | \(0.532029\pi\) |
−0.947644 | + | 0.319329i | \(0.896543\pi\) | |||||||
\(752\) | −6.30760e6 | − | 3.03758e6i | −0.406742 | − | 0.195877i | ||||
\(753\) | −2.50595e6 | −0.161059 | ||||||||
\(754\) | 2.22040e6 | + | 5.68424e6i | 0.142234 | + | 0.364120i | ||||
\(755\) | 1.48598e7 | 0.948735 | ||||||||
\(756\) | 27463.6 | + | 13225.8i | 0.00174764 | + | 0.000841621i | ||||
\(757\) | −7.55236e6 | + | 9.47035e6i | −0.479008 | + | 0.600657i | −0.961351 | − | 0.275325i | \(-0.911214\pi\) |
0.482343 | + | 0.875982i | \(0.339786\pi\) | |||||||
\(758\) | −1.76741e6 | − | 2.21627e6i | −0.111729 | − | 0.140104i | ||||
\(759\) | −2.19476e6 | − | 1.05694e6i | −0.138287 | − | 0.0665957i | ||||
\(760\) | −643891. | + | 310082.i | −0.0404370 | + | 0.0194734i | ||||
\(761\) | 1.48940e6 | − | 1.86765e6i | 0.0932286 | − | 0.116905i | −0.733029 | − | 0.680197i | \(-0.761894\pi\) |
0.826258 | + | 0.563292i | \(0.190466\pi\) | |||||||
\(762\) | −424353. | − | 1.85921e6i | −0.0264752 | − | 0.115995i | ||||
\(763\) | 47073.4 | + | 206242.i | 0.00292728 | + | 0.0128253i | ||||
\(764\) | 1.84928e6 | + | 2.31892e6i | 0.114622 | + | 0.143732i | ||||
\(765\) | −2.20719e6 | + | 9.67033e6i | −0.136360 | + | 0.597431i | ||||
\(766\) | 2.04073e6 | 0.125665 | ||||||||
\(767\) | 1.88270e6 | − | 8.24864e6i | 0.115556 | − | 0.506283i | ||||
\(768\) | −2.97599e6 | + | 1.43316e6i | −0.182066 | + | 0.0876783i | ||||
\(769\) | −1.11725e7 | + | 5.38041e6i | −0.681297 | + | 0.328095i | −0.742324 | − | 0.670041i | \(-0.766277\pi\) |
0.0610275 | + | 0.998136i | \(0.480562\pi\) | |||||||
\(770\) | −44529.0 | + | 195094.i | −0.00270655 | + | 0.0118582i | ||||
\(771\) | −4.91073e6 | −0.297516 | ||||||||
\(772\) | 608114. | − | 2.66432e6i | 0.0367233 | − | 0.160895i | ||||
\(773\) | 6.38430e6 | + | 8.00565e6i | 0.384295 | + | 0.481890i | 0.935925 | − | 0.352198i | \(-0.114566\pi\) |
−0.551631 | + | 0.834088i | \(0.685994\pi\) | |||||||
\(774\) | 2.22894e6 | + | 9.76562e6i | 0.133735 | + | 0.585932i | ||||
\(775\) | −687484. | − | 3.01206e6i | −0.0411158 | − | 0.180140i | ||||
\(776\) | 2.07691e6 | − | 2.60436e6i | 0.123812 | − | 0.155256i | ||||
\(777\) | −7021.80 | + | 3381.52i | −0.000417250 | + | 0.000200937i | ||||
\(778\) | 1.95393e7 | + | 9.40963e6i | 1.15734 | + | 0.557344i | ||||
\(779\) | 1.04431e6 | + | 1.30952e6i | 0.0616574 | + | 0.0773159i | ||||
\(780\) | 215703. | − | 270482.i | 0.0126946 | − | 0.0159185i | ||||
\(781\) | −1.48277e7 | − | 7.14065e6i | −0.869854 | − | 0.418900i | ||||
\(782\) | −1.32594e7 | −0.775364 | ||||||||
\(783\) | −5.05972e6 | + | 3.43779e6i | −0.294932 | + | 0.200390i | ||||
\(784\) | 2.14636e7 | 1.24713 | ||||||||
\(785\) | 1.66142e6 | + | 800096.i | 0.0962286 | + | 0.0463413i | ||||
\(786\) | −399924. | + | 501489.i | −0.0230898 | + | 0.0289537i | ||||
\(787\) | 1.18214e7 | + | 1.48236e7i | 0.680350 | + | 0.853132i | 0.995386 | − | 0.0959473i | \(-0.0305880\pi\) |
−0.315036 | + | 0.949080i | \(0.602017\pi\) | |||||||
\(788\) | 1.69207e6 | + | 814856.i | 0.0970738 | + | 0.0467483i | ||||
\(789\) | −1.41327e6 | + | 680597.i | −0.0808228 | + | 0.0389222i | ||||
\(790\) | −1.05709e7 | + | 1.32555e7i | −0.602624 | + | 0.755666i | ||||
\(791\) | −84512.8 | − | 370275.i | −0.00480266 | − | 0.0210418i | ||||
\(792\) | −2.72285e6 | − | 1.19296e7i | −0.154245 | − | 0.675791i | ||||
\(793\) | 3.17390e6 | + | 3.97994e6i | 0.179230 | + | 0.224747i | ||||
\(794\) | −333246. | + | 1.46005e6i | −0.0187592 | + | 0.0821893i | ||||
\(795\) | −1.74486e6 | −0.0979135 | ||||||||
\(796\) | 898690. | − | 3.93742e6i | 0.0502721 | − | 0.220256i | ||||
\(797\) | 1.31358e7 | − | 6.32586e6i | 0.732504 | − | 0.352755i | −0.0301646 | − | 0.999545i | \(-0.509603\pi\) |
0.762668 | + | 0.646790i | \(0.223889\pi\) | |||||||
\(798\) | 3759.17 | − | 1810.32i | 0.000208970 | − | 0.000100635i | ||||
\(799\) | −1.19357e6 | + | 5.22935e6i | −0.0661423 | + | 0.289788i | ||||
\(800\) | 6.13244e6 | 0.338773 | ||||||||
\(801\) | −5.10193e6 | + | 2.23530e7i | −0.280966 | + | 1.23099i | ||||
\(802\) | −3.79885e6 | − | 4.76361e6i | −0.208553 | − | 0.261517i | ||||
\(803\) | 4.95548e6 | + | 2.17114e7i | 0.271205 | + | 1.18822i | ||||
\(804\) | −134211. | − | 588016.i | −0.00732229 | − | 0.0320811i | ||||
\(805\) | 84220.3 | − | 105609.i | 0.00458065 | − | 0.00574395i | ||||
\(806\) | 2.96535e6 | − | 1.42803e6i | 0.160782 | − | 0.0774286i | ||||
\(807\) | 1.46883e6 | + | 707350.i | 0.0793939 | + | 0.0382341i | ||||
\(808\) | 9.26419e6 | + | 1.16169e7i | 0.499205 | + | 0.625983i | ||||
\(809\) | −1.29274e7 | + | 1.62105e7i | −0.694451 | + | 0.870814i | −0.996595 | − | 0.0824484i | \(-0.973726\pi\) |
0.302145 | + | 0.953262i | \(0.402297\pi\) | |||||||
\(810\) | −1.40973e7 | − | 6.78892e6i | −0.754962 | − | 0.363570i | ||||
\(811\) | −2.62786e7 | −1.40297 | −0.701487 | − | 0.712682i | \(-0.747480\pi\) | ||||
−0.701487 | + | 0.712682i | \(0.747480\pi\) | |||||||
\(812\) | −51246.4 | + | 88433.9i | −0.00272756 | + | 0.00470683i | ||||
\(813\) | 6.28037e6 | 0.333241 | ||||||||
\(814\) | −4.65673e6 | − | 2.24256e6i | −0.246332 | − | 0.118627i | ||||
\(815\) | −1.01999e6 | + | 1.27903e6i | −0.0537902 | + | 0.0674507i | ||||
\(816\) | 2.20198e6 | + | 2.76119e6i | 0.115768 | + | 0.145168i | ||||
\(817\) | 777600. | + | 374473.i | 0.0407569 | + | 0.0196275i | ||||
\(818\) | 2.81068e7 | − | 1.35355e7i | 1.46868 | − | 0.707281i | ||||
\(819\) | −45638.4 | + | 57228.8i | −0.00237750 | + | 0.00298129i | ||||
\(820\) | 1.67246e6 | + | 7.32753e6i | 0.0868603 | + | 0.380560i | ||||
\(821\) | 3.97835e6 | + | 1.74303e7i | 0.205990 | + | 0.902499i | 0.967204 | + | 0.253999i | \(0.0817461\pi\) |
−0.761215 | + | 0.648500i | \(0.775397\pi\) | |||||||
\(822\) | −5.03613e6 | − | 6.31511e6i | −0.259966 | − | 0.325988i | ||||
\(823\) | −3.91279e6 | + | 1.71431e7i | −0.201366 | + | 0.882244i | 0.768739 | + | 0.639562i | \(0.220884\pi\) |
−0.970106 | + | 0.242682i | \(0.921973\pi\) | |||||||
\(824\) | 2.15591e7 | 1.10615 | ||||||||
\(825\) | 344471. | − | 1.50923e6i | 0.0176205 | − | 0.0772003i | ||||
\(826\) | 412535. | − | 198666.i | 0.0210383 | − | 0.0101315i | ||||
\(827\) | −2.60589e7 | + | 1.25493e7i | −1.32493 | + | 0.638051i | −0.956535 | − | 0.291619i | \(-0.905806\pi\) |
−0.368393 | + | 0.929670i | \(0.620092\pi\) | |||||||
\(828\) | 1.49287e6 | − | 6.54069e6i | 0.0756739 | − | 0.331549i | ||||
\(829\) | 979938. | 0.0495236 | 0.0247618 | − | 0.999693i | \(-0.492117\pi\) | ||||
0.0247618 | + | 0.999693i | \(0.492117\pi\) | |||||||
\(830\) | 2.46824e6 | − | 1.08141e7i | 0.124363 | − | 0.544871i | ||||
\(831\) | 3.25981e6 | + | 4.08767e6i | 0.163753 | + | 0.205340i | ||||
\(832\) | −346498. | − | 1.51811e6i | −0.0173537 | − | 0.0760316i | ||||
\(833\) | −3.65927e6 | − | 1.60323e7i | −0.182718 | − | 0.800542i | ||||
\(834\) | 5.03386e6 | − | 6.31226e6i | 0.250603 | − | 0.314246i | ||||
\(835\) | 2.61419e7 | − | 1.25893e7i | 1.29754 | − | 0.624863i | ||||
\(836\) | 771551. | + | 371559.i | 0.0381811 | + | 0.0183871i | ||||
\(837\) | 2.05699e6 | + | 2.57939e6i | 0.101489 | + | 0.127263i | ||||
\(838\) | −3.61941e6 | + | 4.53860e6i | −0.178044 | + | 0.223261i | ||||
\(839\) | 2.21297e6 | + | 1.06571e6i | 0.108535 | + | 0.0522678i | 0.487364 | − | 0.873199i | \(-0.337959\pi\) |
−0.378828 | + | 0.925467i | \(0.623673\pi\) | |||||||
\(840\) | −23050.7 | −0.00112716 | ||||||||
\(841\) | −1.01986e7 | − | 1.77959e7i | −0.497222 | − | 0.867623i | ||||
\(842\) | −2.39099e6 | −0.116225 | ||||||||
\(843\) | 6.16924e6 | + | 2.97095e6i | 0.298994 | + | 0.143988i | ||||
\(844\) | 3.10505e6 | − | 3.89361e6i | 0.150042 | − | 0.188146i | ||||
\(845\) | −8.93080e6 | − | 1.11989e7i | −0.430277 | − | 0.539551i | ||||
\(846\) | −7.90084e6 | − | 3.80485e6i | −0.379531 | − | 0.182773i | ||||
\(847\) | −37657.5 | + | 18134.9i | −0.00180361 | + | 0.000868574i | ||||
\(848\) | 1.14021e7 | − | 1.42977e7i | 0.544495 | − | 0.682775i | ||||
\(849\) | 832980. | + | 3.64952e6i | 0.0396611 | + | 0.173767i | ||||
\(850\) | −1.87498e6 | − | 8.21484e6i | −0.0890124 | − | 0.389989i | ||||
\(851\) | 2.17529e6 | + | 2.72772e6i | 0.102966 | + | 0.129115i | ||||
\(852\) | −342634. | + | 1.50118e6i | −0.0161708 | + | 0.0708489i | ||||
\(853\) | −3.90299e7 | −1.83664 | −0.918321 | − | 0.395837i | \(-0.870455\pi\) | ||||
−0.918321 | + | 0.395837i | \(0.870455\pi\) | |||||||
\(854\) | −61302.2 | + | 268582.i | −0.00287628 | + | 0.0126018i | ||||
\(855\) | −1.25889e6 | + | 606247.i | −0.0588940 | + | 0.0283619i | ||||
\(856\) | 2.08191e7 | − | 1.00259e7i | 0.971128 | − | 0.467671i | ||||
\(857\) | 5.96287e6 | − | 2.61250e7i | 0.277334 | − | 1.21508i | −0.623816 | − | 0.781572i | \(-0.714418\pi\) |
0.901150 | − | 0.433508i | \(-0.142724\pi\) | |||||||
\(858\) | 1.64913e6 | 0.0764781 | ||||||||
\(859\) | 4.03483e6 | − | 1.76778e7i | 0.186570 | − | 0.817418i | −0.791837 | − | 0.610732i | \(-0.790875\pi\) |
0.978407 | − | 0.206686i | \(-0.0662677\pi\) | |||||||
\(860\) | 2.41469e6 | + | 3.02793e6i | 0.111331 | + | 0.139604i | ||||
\(861\) | 12021.3 | + | 52668.9i | 0.000552643 | + | 0.00242129i | ||||
\(862\) | −4.30920e6 | − | 1.88798e7i | −0.197528 | − | 0.865427i | ||||
\(863\) | 7.16981e6 | − | 8.99065e6i | 0.327703 | − | 0.410927i | −0.590499 | − | 0.807038i | \(-0.701069\pi\) |
0.918202 | + | 0.396112i | \(0.129641\pi\) | |||||||
\(864\) | −5.90004e6 | + | 2.84131e6i | −0.268887 | + | 0.129489i | ||||
\(865\) | −1.78482e7 | − | 8.59523e6i | −0.811061 | − | 0.390586i | ||||
\(866\) | −1.00284e7 | − | 1.25752e7i | −0.454400 | − | 0.569799i | ||||
\(867\) | −814327. | + | 1.02113e6i | −0.0367918 | + | 0.0461355i | ||||
\(868\) | 49665.7 | + | 23917.8i | 0.00223747 | + | 0.00107751i | ||||
\(869\) | −2.50123e7 | −1.12358 | ||||||||
\(870\) | −1.88382e6 | + | 3.25083e6i | −0.0843804 | + | 0.145612i | ||||
\(871\) | 2.94588e6 | 0.131574 | ||||||||
\(872\) | −1.45600e7 | − | 7.01171e6i | −0.648439 | − | 0.312272i | ||||
\(873\) | 4.06061e6 | − | 5.09185e6i | 0.180325 | − | 0.226121i | ||||
\(874\) | −1.16455e6 | − | 1.46030e6i | −0.0515681 | − | 0.0646643i | ||||
\(875\) | 268418. | + | 129263.i | 0.0118520 | + | 0.00570762i | ||||
\(876\) | 1.87724e6 | − | 904032.i | 0.0826532 | − | 0.0398037i | ||||
\(877\) | 2.00576e7 | − | 2.51514e7i | 0.880601 | − | 1.10424i | −0.113255 | − | 0.993566i | \(-0.536128\pi\) |
0.993857 | − | 0.110673i | \(-0.0353007\pi\) | |||||||
\(878\) | −8.80740e6 | − | 3.85878e7i | −0.385577 | − | 1.68933i | ||||
\(879\) | 740985. | + | 3.24647e6i | 0.0323472 | + | 0.141722i | ||||
\(880\) | −1.48769e7 | − | 1.86550e7i | −0.647596 | − | 0.812060i | ||||
\(881\) | −8.14556e6 | + | 3.56880e7i | −0.353575 | + | 1.54911i | 0.415283 | + | 0.909692i | \(0.363683\pi\) |
−0.768858 | + | 0.639420i | \(0.779175\pi\) | |||||||
\(882\) | 2.68851e7 | 1.16370 | ||||||||
\(883\) | 9.39839e6 | − | 4.11770e7i | 0.405650 | − | 1.77727i | −0.198189 | − | 0.980164i | \(-0.563506\pi\) |
0.603839 | − | 0.797106i | \(-0.293637\pi\) | |||||||
\(884\) | 2.50294e6 | − | 1.20535e6i | 0.107726 | − | 0.0518780i | ||||
\(885\) | 4.69328e6 | − | 2.26017e6i | 0.201427 | − | 0.0970024i | ||||
\(886\) | −1.13193e7 | + | 4.95933e7i | −0.484436 | + | 2.12245i | ||||
\(887\) | 9.79909e6 | 0.418193 | 0.209097 | − | 0.977895i | \(-0.432948\pi\) | ||||
0.209097 | + | 0.977895i | \(0.432948\pi\) | |||||||
\(888\) | 132482. | − | 580440.i | 0.00563797 | − | 0.0247016i | ||||
\(889\) | 97267.0 | + | 121969.i | 0.00412773 | + | 0.00517601i | ||||
\(890\) | 6.37381e6 | + | 2.79255e7i | 0.269727 | + | 1.18175i | ||||
\(891\) | −5.13651e6 | − | 2.25045e7i | −0.216757 | − | 0.949676i | ||||
\(892\) | −7.91377e6 | + | 9.92355e6i | −0.333021 | + | 0.417595i | ||||
\(893\) | −680758. | + | 327836.i | −0.0285670 | + | 0.0137571i | ||||
\(894\) | 389379. | + | 187515.i | 0.0162940 | + | 0.00784680i | ||||
\(895\) | 8.21694e6 | + | 1.03037e7i | 0.342888 | + | 0.429968i | ||||
\(896\) | 204754. | − | 256753.i | 0.00852044 | − | 0.0106843i | ||||
\(897\) | −1.00295e6 | − | 482997.i | −0.0416198 | − | 0.0200430i | ||||
\(898\) | −2.15307e6 | −0.0890978 | ||||||||
\(899\) | −9.15009e6 | + | 6.21698e6i | −0.377595 | + | 0.256555i | ||||
\(900\) | 4.26339e6 | 0.175448 | ||||||||
\(901\) | −1.26237e7 | − | 6.07923e6i | −0.518052 | − | 0.249481i | ||||
\(902\) | −2.23380e7 | + | 2.80109e7i | −0.914171 | + | 1.14633i | ||||
\(903\) | 17356.3 | + | 21764.2i | 0.000708335 | + | 0.000888224i | ||||
\(904\) | 2.61401e7 | + | 1.25884e7i | 1.06386 | + | 0.512330i | ||||
\(905\) | 1.02005e7 | − | 4.91231e6i | 0.414000 | − | 0.199372i | ||||
\(906\) | 4.13206e6 | − | 5.18144e6i | 0.167242 | − | 0.209715i | ||||
\(907\) | 1.05238e7 | + | 4.61078e7i | 0.424770 | + | 1.86104i | 0.503275 | + | 0.864126i | \(0.332128\pi\) |
−0.0785048 | + | 0.996914i | \(0.525015\pi\) | |||||||
\(908\) | 2.35418e6 | + | 1.03143e7i | 0.0947600 | + | 0.415171i | ||||
\(909\) | 1.81126e7 | + | 2.27125e7i | 0.727062 | + | 0.911707i | ||||
\(910\) | −20348.7 | + | 89153.5i | −0.000814579 | + | 0.00356890i | ||||
\(911\) | 1.77742e7 | 0.709570 | 0.354785 | − | 0.934948i | \(-0.384554\pi\) | ||||
0.354785 | + | 0.934948i | \(0.384554\pi\) | |||||||
\(912\) | −110704. | + | 485025.i | −0.00440733 | + | 0.0193098i | ||||
\(913\) | 1.47433e7 | − | 7.10001e6i | 0.585354 | − | 0.281892i | ||||
\(914\) | 5.70142e6 | − | 2.74566e6i | 0.225745 | − | 0.108713i | ||||
\(915\) | −697416. | + | 3.05558e6i | −0.0275384 | + | 0.120654i | ||||
\(916\) | 5.66758e6 | 0.223182 | ||||||||
\(917\) | 11676.1 | − | 51156.5i | 0.000458538 | − | 0.00200899i | ||||
\(918\) | 5.61006e6 | + | 7.03479e6i | 0.219716 | + | 0.275515i | ||||
\(919\) | 53385.6 | + | 233898.i | 0.00208514 | + | 0.00913560i | 0.975960 | − | 0.217951i | \(-0.0699372\pi\) |
−0.973875 | + | 0.227086i | \(0.927080\pi\) | |||||||
\(920\) | 2.29617e6 | + | 1.00602e7i | 0.0894405 | + | 0.391865i | ||||
\(921\) | 141191. | − | 177048.i | 0.00548478 | − | 0.00687769i | ||||
\(922\) | −4.23553e7 | + | 2.03972e7i | −1.64089 | + | 0.790213i | ||||
\(923\) | −6.77591e6 | − | 3.26311e6i | −0.261796 | − | 0.126074i | ||||
\(924\) | 17221.3 | + | 21594.8i | 0.000663569 | + | 0.000832090i | ||||
\(925\) | −1.38236e6 | + | 1.73342e6i | −0.0531211 | + | 0.0666117i | ||||
\(926\) | 1.34123e7 | + | 6.45901e6i | 0.514014 | + | 0.247536i | ||||
\(927\) | 4.21507e7 | 1.61104 | ||||||||
\(928\) | −7.98931e6 | − | 2.04527e7i | −0.304537 | − | 0.779617i | ||||
\(929\) | −3.35794e7 | −1.27654 | −0.638270 | − | 0.769813i | \(-0.720350\pi\) | ||||
−0.638270 | + | 0.769813i | \(0.720350\pi\) | |||||||
\(930\) | 1.82571e6 | + | 879217.i | 0.0692190 | + | 0.0333341i | ||||
\(931\) | 1.44431e6 | − | 1.81111e6i | 0.0546119 | − | 0.0684811i | ||||
\(932\) | 4.11458e6 | + | 5.15952e6i | 0.155162 | + | 0.194567i | ||||
\(933\) | −5.22924e6 | − | 2.51827e6i | −0.196668 | − | 0.0947104i | ||||
\(934\) | −3.40949e7 | + | 1.64192e7i | −1.27886 | + | 0.615865i | ||||
\(935\) | −1.13981e7 | + | 1.42928e7i | −0.426386 | + | 0.534672i | ||||
\(936\) | −1.24428e6 | − | 5.45154e6i | −0.0464224 | − | 0.203390i | ||||
\(937\) | 384209. | + | 1.68333e6i | 0.0142961 | + | 0.0626355i | 0.981573 | − | 0.191088i | \(-0.0612017\pi\) |
−0.967277 | + | 0.253724i | \(0.918345\pi\) | |||||||
\(938\) | 99399.8 | + | 124643.i | 0.00368874 | + | 0.00462554i | ||||
\(939\) | 894014. | − | 3.91693e6i | 0.0330887 | − | 0.144971i | ||||
\(940\) | −3.39054e6 | −0.125155 | ||||||||
\(941\) | −1.50875e6 | + | 6.61026e6i | −0.0555447 | + | 0.243357i | −0.995077 | − | 0.0991024i | \(-0.968403\pi\) |
0.939533 | + | 0.342460i | \(0.111260\pi\) | |||||||
\(942\) | 740974. | − | 356834.i | 0.0272067 | − | 0.0131020i | ||||
\(943\) | 2.17891e7 | − | 1.04931e7i | 0.797922 | − | 0.384259i | ||||
\(944\) | −1.21488e7 | + | 5.32272e7i | −0.443712 | + | 1.94403i | ||||
\(945\) | −91665.0 | −0.00333906 | ||||||||
\(946\) | −4.10802e6 | + | 1.79984e7i | −0.149247 | + | 0.653892i | ||||
\(947\) | −1.16258e7 | − | 1.45783e7i | −0.421258 | − | 0.528240i | 0.525239 | − | 0.850955i | \(-0.323976\pi\) |
−0.946496 | + | 0.322715i | \(0.895405\pi\) | |||||||
\(948\) | 520739. | + | 2.28151e6i | 0.0188191 | + | 0.0824520i | ||||
\(949\) | 2.26454e6 | + | 9.92159e6i | 0.0816233 | + | 0.357615i | ||||
\(950\) | 740055. | − | 928000.i | 0.0266045 | − | 0.0333610i | ||||
\(951\) | −7.24345e6 | + | 3.48826e6i | −0.259713 | + | 0.125071i | ||||
\(952\) | −166767. | − | 80310.6i | −0.00596372 | − | 0.00287198i | ||||
\(953\) | −8.91064e6 | − | 1.11736e7i | −0.317817 | − | 0.398529i | 0.597104 | − | 0.802164i | \(-0.296318\pi\) |
−0.914920 | + | 0.403635i | \(0.867747\pi\) | |||||||
\(954\) | 1.42821e7 | − | 1.79092e7i | 0.508068 | − | 0.637098i | ||||
\(955\) | −8.03598e6 | − | 3.86993e6i | −0.285122 | − | 0.137307i | ||||
\(956\) | 1.85522e7 | 0.656523 | ||||||||
\(957\) | −5.48230e6 | + | 817342.i | −0.193501 | + | 0.0288485i | ||||
\(958\) | 2.97825e7 | 1.04845 | ||||||||
\(959\) | 595330. | + | 286696.i | 0.0209031 | + | 0.0100664i | ||||
\(960\) | 597746. | − | 749550.i | 0.0209333 | − | 0.0262496i | ||||
\(961\) | −1.41301e7 | − | 1.77186e7i | −0.493556 | − | 0.618899i | ||||
\(962\) | −2.12802e6 | − | 1.02480e6i | −0.0741374 | − | 0.0357027i | ||||
\(963\) | 4.07038e7 | − | 1.96019e7i | 1.41439 | − | 0.681134i | ||||
\(964\) | −3.18192e6 | + | 3.99000e6i | −0.110280 | + | 0.138287i | ||||
\(965\) | 1.82869e6 | + | 8.01203e6i | 0.0632154 | + | 0.276965i | ||||
\(966\) | −13405.5 | − | 58733.3i | −0.000462211 | − | 0.00202508i | ||||
\(967\) | 1.87933e7 | + | 2.35660e7i | 0.646304 | + | 0.810439i | 0.991775 | − | 0.127990i | \(-0.0408525\pi\) |
−0.345472 | + | 0.938429i | \(0.612281\pi\) | |||||||
\(968\) | 710491. | − | 3.11286e6i | 0.0243708 | − | 0.106775i | ||||
\(969\) | 381165. | 0.0130408 | ||||||||
\(970\) | 1.81050e6 | − | 7.93231e6i | 0.0617829 | − | 0.270689i | ||||
\(971\) | 4.77166e6 | − | 2.29791e6i | 0.162413 | − | 0.0782141i | −0.350911 | − | 0.936409i | \(-0.614128\pi\) |
0.513324 | + | 0.858195i | \(0.328414\pi\) | |||||||
\(972\) | −6.18699e6 | + | 2.97950e6i | −0.210046 | + | 0.101153i | ||||
\(973\) | −146968. | + | 643909.i | −0.00497669 | + | 0.0218043i | ||||
\(974\) | −1.98863e7 | −0.671673 | ||||||||
\(975\) | 157415. | − | 689680.i | 0.00530316 | − | 0.0232347i | ||||
\(976\) | −2.04807e7 | − | 2.56819e7i | −0.688208 | − | 0.862985i | ||||
\(977\) | 5.49747e6 | + | 2.40860e7i | 0.184258 | + | 0.807287i | 0.979573 | + | 0.201090i | \(0.0644484\pi\) |
−0.795315 | + | 0.606197i | \(0.792694\pi\) | |||||||
\(978\) | 162354. | + | 711319.i | 0.00542770 | + | 0.0237803i | ||||
\(979\) | −2.63468e7 | + | 3.30378e7i | −0.878558 | + | 1.10168i | ||||
\(980\) | 9.36542e6 | − | 4.51015e6i | 0.311503 | − | 0.150012i | ||||
\(981\) | −2.84665e7 | − | 1.37087e7i | −0.944412 | − | 0.454805i | ||||
\(982\) | −1.75222e7 | − | 2.19721e7i | −0.579841 | − | 0.727098i | ||||
\(983\) | 2.04440e7 | − | 2.56359e7i | 0.674810 | − | 0.846185i | −0.320054 | − | 0.947399i | \(-0.603701\pi\) |
0.994865 | + | 0.101214i | \(0.0322726\pi\) | |||||||
\(984\) | −3.71824e6 | − | 1.79061e6i | −0.122419 | − | 0.0589539i | ||||
\(985\) | −5.64760e6 | −0.185470 | ||||||||
\(986\) | −2.49552e7 | + | 1.69556e7i | −0.817463 | + | 0.555420i | ||||
\(987\) | −24370.5 | −0.000796292 | ||||||||
\(988\) | 352581. | + | 169794.i | 0.0114912 | + | 0.00553388i | ||||
\(989\) | 7.76974e6 | − | 9.74294e6i | 0.252590 | − | 0.316737i | ||||
\(990\) | −1.86346e7 | − | 2.33671e7i | −0.604272 | − | 0.757733i | ||||
\(991\) | −1.73604e7 | − | 8.36032e6i | −0.561533 | − | 0.270420i | 0.131512 | − | 0.991315i | \(-0.458017\pi\) |
−0.693045 | + | 0.720895i | \(0.743731\pi\) | |||||||
\(992\) | −1.06698e7 | + | 5.13828e6i | −0.344251 | + | 0.165782i | ||||
\(993\) | 5.20808e6 | − | 6.53073e6i | 0.167612 | − | 0.210179i | ||||
\(994\) | −90567.0 | − | 396800.i | −0.00290740 | − | 0.0127381i | ||||
\(995\) | 2.70250e6 | + | 1.18404e7i | 0.0865382 | + | 0.379149i | ||||
\(996\) | −954576. | − | 1.19700e6i | −0.0304903 | − | 0.0382337i | ||||
\(997\) | 4.72619e6 | − | 2.07068e7i | 0.150582 | − | 0.659744i | −0.842134 | − | 0.539268i | \(-0.818701\pi\) |
0.992716 | − | 0.120476i | \(-0.0384419\pi\) | |||||||
\(998\) | 5.26960e7 | 1.67476 | ||||||||
\(999\) | 526834. | − | 2.30821e6i | 0.0167017 | − | 0.0731749i |
(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 | 29.6.d.a.16.3 | ✓ | 66 | |
29.7 | even | 7 | 841.6.a.i.1.26 | 33 | |||
29.20 | even | 7 | inner | 29.6.d.a.20.3 | yes | 66 | |
29.22 | even | 14 | 841.6.a.h.1.8 | 33 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.6.d.a.16.3 | ✓ | 66 | 1.1 | even | 1 | trivial | |
29.6.d.a.20.3 | yes | 66 | 29.20 | even | 7 | inner | |
841.6.a.h.1.8 | 33 | 29.22 | even | 14 | |||
841.6.a.i.1.26 | 33 | 29.7 | even | 7 |