Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,6,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), 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: | \(6.09458515289\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Character | \(\chi\) | \(=\) | 38.5 |
Dual form | 38.6.e.b.23.4 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.75877 | + | 1.36808i | −0.664463 | + | 0.241845i | ||||
\(3\) | 3.93255 | − | 22.3026i | 0.252273 | − | 1.43071i | −0.550703 | − | 0.834701i | \(-0.685640\pi\) |
0.802976 | − | 0.596011i | \(-0.203248\pi\) | |||||||
\(4\) | 12.2567 | − | 10.2846i | 0.383022 | − | 0.321394i | ||||
\(5\) | 61.0402 | + | 51.2189i | 1.09192 | + | 0.916231i | 0.996856 | − | 0.0792404i | \(-0.0252495\pi\) |
0.0950656 | + | 0.995471i | \(0.469694\pi\) | |||||||
\(6\) | 15.7302 | + | 89.2104i | 0.178384 | + | 1.01167i | ||||
\(7\) | −95.8893 | − | 166.085i | −0.739648 | − | 1.28111i | −0.952654 | − | 0.304057i | \(-0.901659\pi\) |
0.213006 | − | 0.977051i | \(-0.431675\pi\) | |||||||
\(8\) | −32.0000 | + | 55.4256i | −0.176777 | + | 0.306186i | ||||
\(9\) | −253.595 | − | 92.3012i | −1.04360 | − | 0.379840i | ||||
\(10\) | −299.508 | − | 109.012i | −0.947127 | − | 0.344726i | ||||
\(11\) | 179.141 | − | 310.281i | 0.446388 | − | 0.773167i | −0.551759 | − | 0.834003i | \(-0.686043\pi\) |
0.998148 | + | 0.0608359i | \(0.0193766\pi\) | |||||||
\(12\) | −181.173 | − | 313.801i | −0.363196 | − | 0.629073i | ||||
\(13\) | −77.0619 | − | 437.039i | −0.126468 | − | 0.717236i | −0.980425 | − | 0.196893i | \(-0.936915\pi\) |
0.853957 | − | 0.520344i | \(-0.174196\pi\) | |||||||
\(14\) | 587.644 | + | 493.091i | 0.801298 | + | 0.672369i | ||||
\(15\) | 1382.36 | − | 1159.94i | 1.58632 | − | 1.33108i | ||||
\(16\) | 44.4539 | − | 252.111i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −931.877 | + | 339.176i | −0.782053 | + | 0.284644i | −0.702029 | − | 0.712149i | \(-0.747722\pi\) |
−0.0800247 | + | 0.996793i | \(0.525500\pi\) | |||||||
\(18\) | 1079.48 | 0.785298 | ||||||||
\(19\) | −1314.04 | − | 865.679i | −0.835073 | − | 0.550140i | ||||
\(20\) | 1274.92 | 0.712701 | ||||||||
\(21\) | −4081.22 | + | 1485.44i | −2.01949 | + | 0.735034i | ||||
\(22\) | −248.860 | + | 1411.35i | −0.109622 | + | 0.621698i | ||||
\(23\) | 1025.79 | − | 860.740i | 0.404333 | − | 0.339276i | −0.417833 | − | 0.908524i | \(-0.637210\pi\) |
0.822166 | + | 0.569248i | \(0.192766\pi\) | |||||||
\(24\) | 1110.29 | + | 931.647i | 0.393468 | + | 0.330159i | ||||
\(25\) | 559.891 | + | 3175.30i | 0.179165 | + | 1.01610i | ||||
\(26\) | 887.563 | + | 1537.30i | 0.257493 | + | 0.445991i | ||||
\(27\) | −304.264 | + | 527.001i | −0.0803232 | + | 0.139124i | ||||
\(28\) | −2883.41 | − | 1049.47i | −0.695042 | − | 0.252974i | ||||
\(29\) | 4769.55 | + | 1735.97i | 1.05313 | + | 0.383308i | 0.809844 | − | 0.586646i | \(-0.199552\pi\) |
0.243288 | + | 0.969954i | \(0.421774\pi\) | |||||||
\(30\) | −3609.08 | + | 6251.11i | −0.732138 | + | 1.26810i | ||||
\(31\) | 3275.66 | + | 5673.61i | 0.612202 | + | 1.06037i | 0.990868 | + | 0.134832i | \(0.0430495\pi\) |
−0.378666 | + | 0.925533i | \(0.623617\pi\) | |||||||
\(32\) | 177.816 | + | 1008.44i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −6215.59 | − | 5215.50i | −0.993568 | − | 0.833703i | ||||
\(34\) | 3038.69 | − | 2549.77i | 0.450806 | − | 0.378271i | ||||
\(35\) | 2653.58 | − | 15049.2i | 0.366153 | − | 2.07656i | ||||
\(36\) | −4057.53 | + | 1476.82i | −0.521801 | + | 0.189920i | ||||
\(37\) | 13217.2 | 1.58721 | 0.793607 | − | 0.608430i | \(-0.208201\pi\) | ||||
0.793607 | + | 0.608430i | \(0.208201\pi\) | |||||||
\(38\) | 6123.49 | + | 1456.18i | 0.687923 | + | 0.163590i | ||||
\(39\) | −10050.2 | −1.05806 | ||||||||
\(40\) | −4792.12 | + | 1744.19i | −0.473563 | + | 0.172363i | ||||
\(41\) | −1716.25 | + | 9733.34i | −0.159449 | + | 0.904278i | 0.795156 | + | 0.606404i | \(0.207389\pi\) |
−0.954605 | + | 0.297874i | \(0.903722\pi\) | |||||||
\(42\) | 13308.2 | − | 11166.9i | 1.16411 | − | 0.976806i | ||||
\(43\) | 8638.67 | + | 7248.71i | 0.712485 | + | 0.597846i | 0.925295 | − | 0.379247i | \(-0.123817\pi\) |
−0.212810 | + | 0.977094i | \(0.568262\pi\) | |||||||
\(44\) | −995.440 | − | 5645.42i | −0.0775145 | − | 0.439607i | ||||
\(45\) | −10752.0 | − | 18622.9i | −0.791510 | − | 1.37094i | ||||
\(46\) | −2678.15 | + | 4638.69i | −0.186612 | + | 0.323222i | ||||
\(47\) | −26465.9 | − | 9632.81i | −1.74760 | − | 0.636075i | −0.747983 | − | 0.663718i | \(-0.768978\pi\) |
−0.999618 | + | 0.0276428i | \(0.991200\pi\) | |||||||
\(48\) | −5447.91 | − | 1982.88i | −0.341292 | − | 0.124220i | ||||
\(49\) | −9986.01 | + | 17296.3i | −0.594157 | + | 1.02911i | ||||
\(50\) | −6448.57 | − | 11169.2i | −0.364786 | − | 0.631828i | ||||
\(51\) | 3899.84 | + | 22117.1i | 0.209953 | + | 1.19070i | ||||
\(52\) | −5439.30 | − | 4564.12i | −0.278955 | − | 0.234071i | ||||
\(53\) | 23464.4 | − | 19689.0i | 1.14741 | − | 0.962795i | 0.147759 | − | 0.989023i | \(-0.452794\pi\) |
0.999656 | + | 0.0262282i | \(0.00834966\pi\) | |||||||
\(54\) | 422.679 | − | 2397.13i | 0.0197254 | − | 0.111868i | ||||
\(55\) | 26827.0 | − | 9764.25i | 1.19582 | − | 0.435243i | ||||
\(56\) | 12273.8 | 0.523010 | ||||||||
\(57\) | −24474.4 | + | 25902.2i | −0.997758 | + | 1.05596i | ||||
\(58\) | −20302.6 | −0.792468 | ||||||||
\(59\) | 38660.6 | − | 14071.3i | 1.44590 | − | 0.526264i | 0.504457 | − | 0.863437i | \(-0.331693\pi\) |
0.941443 | + | 0.337173i | \(0.109471\pi\) | |||||||
\(60\) | 5013.68 | − | 28434.0i | 0.179795 | − | 1.01967i | ||||
\(61\) | −12291.7 | + | 10313.9i | −0.422948 | + | 0.354895i | −0.829283 | − | 0.558829i | \(-0.811251\pi\) |
0.406335 | + | 0.913724i | \(0.366806\pi\) | |||||||
\(62\) | −20074.4 | − | 16844.4i | −0.663230 | − | 0.556516i | ||||
\(63\) | 8987.23 | + | 50969.1i | 0.285282 | + | 1.61791i | ||||
\(64\) | −2048.00 | − | 3547.24i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 17680.8 | − | 30624.0i | 0.519061 | − | 0.899040i | ||||
\(66\) | 30498.2 | + | 11100.4i | 0.861816 | + | 0.313675i | ||||
\(67\) | −20837.7 | − | 7584.32i | −0.567105 | − | 0.206409i | 0.0425249 | − | 0.999095i | \(-0.486460\pi\) |
−0.609630 | + | 0.792686i | \(0.708682\pi\) | |||||||
\(68\) | −7933.46 | + | 13741.2i | −0.208061 | + | 0.360372i | ||||
\(69\) | −15162.8 | − | 26262.7i | −0.383403 | − | 0.664074i | ||||
\(70\) | 10614.3 | + | 60196.9i | 0.258909 | + | 1.46835i | ||||
\(71\) | 12700.2 | + | 10656.8i | 0.298996 | + | 0.250888i | 0.779926 | − | 0.625871i | \(-0.215256\pi\) |
−0.480930 | + | 0.876759i | \(0.659701\pi\) | |||||||
\(72\) | 13230.9 | − | 11102.0i | 0.300786 | − | 0.252390i | ||||
\(73\) | 1056.38 | − | 5991.02i | 0.0232013 | − | 0.131581i | −0.971007 | − | 0.239051i | \(-0.923164\pi\) |
0.994208 | + | 0.107470i | \(0.0342748\pi\) | |||||||
\(74\) | −49680.5 | + | 18082.2i | −1.05465 | + | 0.383860i | ||||
\(75\) | 73019.2 | 1.49894 | ||||||||
\(76\) | −25009.0 | + | 2903.99i | −0.496663 | + | 0.0576715i | ||||
\(77\) | −68710.7 | −1.32068 | ||||||||
\(78\) | 37776.3 | − | 13749.4i | 0.703044 | − | 0.255887i | ||||
\(79\) | −15722.6 | + | 89167.3i | −0.283437 | + | 1.60745i | 0.427378 | + | 0.904073i | \(0.359437\pi\) |
−0.710815 | + | 0.703379i | \(0.751674\pi\) | |||||||
\(80\) | 15626.3 | − | 13112.0i | 0.272980 | − | 0.229058i | ||||
\(81\) | −39679.1 | − | 33294.7i | −0.671970 | − | 0.563849i | ||||
\(82\) | −6865.00 | − | 38933.4i | −0.112747 | − | 0.639421i | ||||
\(83\) | 50497.0 | + | 87463.3i | 0.804582 | + | 1.39358i | 0.916573 | + | 0.399867i | \(0.130944\pi\) |
−0.111991 | + | 0.993709i | \(0.535723\pi\) | |||||||
\(84\) | −34745.1 | + | 60180.3i | −0.537274 | + | 0.930586i | ||||
\(85\) | −74254.2 | − | 27026.3i | −1.11474 | − | 0.405732i | ||||
\(86\) | −42387.6 | − | 15427.8i | −0.618006 | − | 0.224936i | ||||
\(87\) | 57473.2 | − | 99546.5i | 0.814081 | − | 1.41003i | ||||
\(88\) | 11465.0 | + | 19858.0i | 0.157822 | + | 0.273356i | ||||
\(89\) | 19091.4 | + | 108273.i | 0.255484 | + | 1.44892i | 0.794828 | + | 0.606834i | \(0.207561\pi\) |
−0.539345 | + | 0.842085i | \(0.681328\pi\) | |||||||
\(90\) | 65891.9 | + | 55289.8i | 0.857483 | + | 0.719514i | ||||
\(91\) | −65196.3 | + | 54706.2i | −0.825315 | + | 0.692521i | ||||
\(92\) | 3720.45 | − | 21099.7i | 0.0458274 | − | 0.259900i | ||||
\(93\) | 139418. | − | 50744.0i | 1.67152 | − | 0.608383i | ||||
\(94\) | 112658. | 1.31505 | ||||||||
\(95\) | −35870.2 | − | 120145.i | −0.407779 | − | 1.36583i | ||||
\(96\) | 23190.2 | 0.256818 | ||||||||
\(97\) | 76849.7 | − | 27971.0i | 0.829302 | − | 0.301841i | 0.107730 | − | 0.994180i | \(-0.465642\pi\) |
0.721572 | + | 0.692339i | \(0.243420\pi\) | |||||||
\(98\) | 13872.4 | − | 78674.4i | 0.145911 | − | 0.827500i | ||||
\(99\) | −74068.6 | + | 62150.9i | −0.759532 | + | 0.637323i | ||||
\(100\) | 39519.1 | + | 33160.5i | 0.395191 | + | 0.331605i | ||||
\(101\) | −20954.3 | − | 118838.i | −0.204395 | − | 1.15918i | −0.898389 | − | 0.439200i | \(-0.855262\pi\) |
0.693995 | − | 0.719980i | \(-0.255849\pi\) | |||||||
\(102\) | −44916.6 | − | 77797.8i | −0.427471 | − | 0.740401i | ||||
\(103\) | −31036.1 | + | 53756.1i | −0.288253 | + | 0.499269i | −0.973393 | − | 0.229143i | \(-0.926408\pi\) |
0.685140 | + | 0.728412i | \(0.259741\pi\) | |||||||
\(104\) | 26689.2 | + | 9714.06i | 0.241964 | + | 0.0880679i | ||||
\(105\) | −325201. | − | 118364.i | −2.87858 | − | 1.04772i | ||||
\(106\) | −61261.3 | + | 106108.i | −0.529568 | + | 0.917238i | ||||
\(107\) | −8711.25 | − | 15088.3i | −0.0735565 | − | 0.127404i | 0.826901 | − | 0.562347i | \(-0.190102\pi\) |
−0.900458 | + | 0.434944i | \(0.856768\pi\) | |||||||
\(108\) | 1690.72 | + | 9588.53i | 0.0139480 | + | 0.0791029i | ||||
\(109\) | −66671.1 | − | 55943.7i | −0.537492 | − | 0.451009i | 0.333187 | − | 0.942861i | \(-0.391876\pi\) |
−0.870679 | + | 0.491852i | \(0.836320\pi\) | |||||||
\(110\) | −87478.4 | + | 73403.1i | −0.689317 | + | 0.578406i | ||||
\(111\) | 51977.3 | − | 294778.i | 0.400412 | − | 2.27085i | ||||
\(112\) | −46134.5 | + | 16791.6i | −0.347521 | + | 0.126487i | ||||
\(113\) | 3534.27 | 0.0260378 | 0.0130189 | − | 0.999915i | \(-0.495856\pi\) | ||||
0.0130189 | + | 0.999915i | \(0.495856\pi\) | |||||||
\(114\) | 56557.5 | − | 130843.i | 0.407594 | − | 0.942951i | ||||
\(115\) | 106701. | 0.752354 | ||||||||
\(116\) | 76312.8 | − | 27775.6i | 0.526566 | − | 0.191654i | ||||
\(117\) | −20796.7 | + | 117944.i | −0.140453 | + | 0.796547i | ||||
\(118\) | −126066. | + | 105782.i | −0.833472 | + | 0.699366i | ||||
\(119\) | 145689. | + | 122248.i | 0.943104 | + | 0.791358i | ||||
\(120\) | 20054.7 | + | 113736.i | 0.127134 | + | 0.721015i | ||||
\(121\) | 16342.6 | + | 28306.2i | 0.101475 | + | 0.175759i | ||||
\(122\) | 32091.3 | − | 55583.8i | 0.195204 | − | 0.338102i | ||||
\(123\) | 210329. | + | 76553.7i | 1.25354 | + | 0.456250i | ||||
\(124\) | 98499.7 | + | 35851.0i | 0.575282 | + | 0.209386i | ||||
\(125\) | −3955.54 | + | 6851.20i | −0.0226428 | + | 0.0392185i | ||||
\(126\) | −103511. | − | 179286.i | −0.580844 | − | 1.00605i | ||||
\(127\) | −39742.5 | − | 225391.i | −0.218648 | − | 1.24001i | −0.874463 | − | 0.485093i | \(-0.838786\pi\) |
0.655815 | − | 0.754922i | \(-0.272325\pi\) | |||||||
\(128\) | 12550.9 | + | 10531.4i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 195637. | − | 164159.i | 1.03509 | − | 0.868541i | ||||
\(130\) | −24561.9 | + | 139297.i | −0.127469 | + | 0.722911i | ||||
\(131\) | −20565.9 | + | 7485.36i | −0.104705 | + | 0.0381096i | −0.393842 | − | 0.919178i | \(-0.628854\pi\) |
0.289136 | + | 0.957288i | \(0.406632\pi\) | |||||||
\(132\) | −129822. | −0.648506 | ||||||||
\(133\) | −17774.2 | + | 301252.i | −0.0871284 | + | 1.47673i | ||||
\(134\) | 88700.2 | 0.426739 | ||||||||
\(135\) | −45564.7 | + | 16584.2i | −0.215176 | + | 0.0783178i | ||||
\(136\) | 11021.1 | − | 62503.5i | 0.0510947 | − | 0.289772i | ||||
\(137\) | −26070.3 | + | 21875.6i | −0.118671 | + | 0.0995770i | −0.700192 | − | 0.713955i | \(-0.746902\pi\) |
0.581521 | + | 0.813531i | \(0.302458\pi\) | |||||||
\(138\) | 92922.9 | + | 77971.5i | 0.415360 | + | 0.348529i | ||||
\(139\) | 9758.28 | + | 55342.0i | 0.0428387 | + | 0.242950i | 0.998706 | − | 0.0508469i | \(-0.0161920\pi\) |
−0.955868 | + | 0.293797i | \(0.905081\pi\) | |||||||
\(140\) | −122251. | − | 211745.i | −0.527148 | − | 0.913046i | ||||
\(141\) | −318915. | + | 552377.i | −1.35091 | + | 2.33985i | ||||
\(142\) | −62316.6 | − | 22681.4i | −0.259348 | − | 0.0943949i | ||||
\(143\) | −149410. | − | 54380.8i | −0.610998 | − | 0.222385i | ||||
\(144\) | −34543.4 | + | 59831.0i | −0.138822 | + | 0.240447i | ||||
\(145\) | 202220. | + | 350255.i | 0.798737 | + | 1.38345i | ||||
\(146\) | 4225.52 | + | 23964.1i | 0.0164058 | + | 0.0930420i | ||||
\(147\) | 346481. | + | 290732.i | 1.32247 | + | 1.10969i | ||||
\(148\) | 162000. | − | 135934.i | 0.607938 | − | 0.510121i | ||||
\(149\) | 6710.59 | − | 38057.6i | 0.0247625 | − | 0.140435i | −0.969920 | − | 0.243424i | \(-0.921729\pi\) |
0.994683 | + | 0.102989i | \(0.0328405\pi\) | |||||||
\(150\) | −274462. | + | 99896.1i | −0.995989 | + | 0.362510i | ||||
\(151\) | −177062. | −0.631949 | −0.315974 | − | 0.948768i | \(-0.602331\pi\) | ||||
−0.315974 | + | 0.948768i | \(0.602331\pi\) | |||||||
\(152\) | 90030.1 | − | 45129.7i | 0.316067 | − | 0.158436i | ||||
\(153\) | 267626. | 0.924272 | ||||||||
\(154\) | 258268. | − | 94001.8i | 0.877544 | − | 0.319400i | ||||
\(155\) | −90648.7 | + | 514095.i | −0.303063 | + | 1.71875i | ||||
\(156\) | −123182. | + | 103362.i | −0.405262 | + | 0.340055i | ||||
\(157\) | 26180.5 | + | 21968.1i | 0.0847674 | + | 0.0711283i | 0.684187 | − | 0.729307i | \(-0.260157\pi\) |
−0.599419 | + | 0.800435i | \(0.704602\pi\) | |||||||
\(158\) | −62890.4 | − | 356669.i | −0.200420 | − | 1.13664i | ||||
\(159\) | −346841. | − | 600746.i | −1.08802 | − | 1.88451i | ||||
\(160\) | −40797.4 | + | 70663.1i | −0.125989 | + | 0.218219i | ||||
\(161\) | −241318. | − | 87832.7i | −0.733712 | − | 0.267049i | ||||
\(162\) | 194695. | + | 70863.1i | 0.582863 | + | 0.212145i | ||||
\(163\) | 75628.1 | − | 130992.i | 0.222953 | − | 0.386167i | −0.732750 | − | 0.680498i | \(-0.761764\pi\) |
0.955703 | + | 0.294331i | \(0.0950969\pi\) | |||||||
\(164\) | 79067.9 | + | 136950.i | 0.229557 | + | 0.397605i | ||||
\(165\) | −112269. | − | 636711.i | −0.321034 | − | 1.82068i | ||||
\(166\) | −309463. | − | 259671.i | −0.871644 | − | 0.731396i | ||||
\(167\) | −189614. | + | 159105.i | −0.526113 | + | 0.441461i | −0.866757 | − | 0.498731i | \(-0.833799\pi\) |
0.340644 | + | 0.940192i | \(0.389355\pi\) | |||||||
\(168\) | 48267.4 | − | 273738.i | 0.131941 | − | 0.748277i | ||||
\(169\) | 163836. | − | 59631.5i | 0.441259 | − | 0.160605i | ||||
\(170\) | 316079. | 0.838828 | ||||||||
\(171\) | 253331. | + | 340820.i | 0.662519 | + | 0.891321i | ||||
\(172\) | 180432. | 0.465042 | ||||||||
\(173\) | 103832. | − | 37791.8i | 0.263764 | − | 0.0960024i | −0.206753 | − | 0.978393i | \(-0.566290\pi\) |
0.470517 | + | 0.882391i | \(0.344067\pi\) | |||||||
\(174\) | −79841.0 | + | 452801.i | −0.199918 | + | 1.13379i | ||||
\(175\) | 473682. | − | 397467.i | 1.16921 | − | 0.981082i | ||||
\(176\) | −70261.7 | − | 58956.6i | −0.170977 | − | 0.143466i | ||||
\(177\) | −161792. | − | 917567.i | −0.388171 | − | 2.20143i | ||||
\(178\) | −219886. | − | 380854.i | −0.520173 | − | 0.900966i | ||||
\(179\) | 109065. | − | 188906.i | 0.254421 | − | 0.440670i | −0.710317 | − | 0.703882i | \(-0.751448\pi\) |
0.964738 | + | 0.263212i | \(0.0847818\pi\) | |||||||
\(180\) | −323313. | − | 117676.i | −0.743776 | − | 0.270712i | ||||
\(181\) | −278971. | − | 101537.i | −0.632940 | − | 0.230371i | 0.00557048 | − | 0.999984i | \(-0.498227\pi\) |
−0.638510 | + | 0.769613i | \(0.720449\pi\) | |||||||
\(182\) | 170216. | − | 294822.i | 0.380909 | − | 0.659753i | ||||
\(183\) | 181690. | + | 314696.i | 0.401055 | + | 0.694647i | ||||
\(184\) | 14881.8 | + | 84398.8i | 0.0324049 | + | 0.183777i | ||||
\(185\) | 806782. | + | 676971.i | 1.73311 | + | 1.45425i | ||||
\(186\) | −454618. | + | 381470.i | −0.963529 | + | 0.808497i | ||||
\(187\) | −61697.5 | + | 349904.i | −0.129022 | + | 0.731720i | ||||
\(188\) | −423455. | + | 154125.i | −0.873801 | + | 0.318037i | ||||
\(189\) | 116703. | 0.237644 | ||||||||
\(190\) | 299196. | + | 402524.i | 0.601272 | + | 0.808923i | ||||
\(191\) | 108735. | 0.215668 | 0.107834 | − | 0.994169i | \(-0.465609\pi\) | ||||
0.107834 | + | 0.994169i | \(0.465609\pi\) | |||||||
\(192\) | −87166.5 | + | 31726.0i | −0.170646 | + | 0.0621101i | ||||
\(193\) | 75288.6 | − | 426983.i | 0.145491 | − | 0.825120i | −0.821481 | − | 0.570236i | \(-0.806852\pi\) |
0.966972 | − | 0.254884i | \(-0.0820373\pi\) | |||||||
\(194\) | −250594. | + | 210273.i | −0.478042 | + | 0.401125i | ||||
\(195\) | −613464. | − | 514758.i | −1.15532 | − | 0.969430i | ||||
\(196\) | 55489.7 | + | 314697.i | 0.103174 | + | 0.585131i | ||||
\(197\) | 114130. | + | 197679.i | 0.209524 | + | 0.362907i | 0.951565 | − | 0.307448i | \(-0.0994751\pi\) |
−0.742040 | + | 0.670355i | \(0.766142\pi\) | |||||||
\(198\) | 193379. | − | 334943.i | 0.350548 | − | 0.607167i | ||||
\(199\) | −859649. | − | 312887.i | −1.53882 | − | 0.560086i | −0.573060 | − | 0.819513i | \(-0.694244\pi\) |
−0.965763 | + | 0.259427i | \(0.916466\pi\) | |||||||
\(200\) | −193909. | − | 70577.3i | −0.342787 | − | 0.124764i | ||||
\(201\) | −251095. | + | 434910.i | −0.438378 | + | 0.759293i | ||||
\(202\) | 241342. | + | 418016.i | 0.416154 | + | 0.720800i | ||||
\(203\) | −169029. | − | 958613.i | −0.287887 | − | 1.63269i | ||||
\(204\) | 275265. | + | 230975.i | 0.463101 | + | 0.388588i | ||||
\(205\) | −603291. | + | 506221.i | −1.00263 | + | 0.841309i | ||||
\(206\) | 43114.9 | − | 244517.i | 0.0707879 | − | 0.401458i | ||||
\(207\) | −339583. | + | 123598.i | −0.550833 | + | 0.200487i | ||||
\(208\) | −113608. | −0.182075 | ||||||||
\(209\) | −504002. | + | 252643.i | −0.798117 | + | 0.400075i | ||||
\(210\) | 1.38429e6 | 2.16610 | ||||||||
\(211\) | −375763. | + | 136766.i | −0.581042 | + | 0.211482i | −0.615785 | − | 0.787914i | \(-0.711161\pi\) |
0.0347429 | + | 0.999396i | \(0.488939\pi\) | |||||||
\(212\) | 85103.3 | − | 482645.i | 0.130049 | − | 0.737544i | ||||
\(213\) | 287618. | − | 241340.i | 0.434377 | − | 0.364485i | ||||
\(214\) | 53385.6 | + | 44795.8i | 0.0796874 | + | 0.0668657i | ||||
\(215\) | 156036. | + | 884926.i | 0.230213 | + | 1.30560i | ||||
\(216\) | −19472.9 | − | 33728.0i | −0.0283986 | − | 0.0491877i | ||||
\(217\) | 628202. | − | 1.08808e6i | 0.905628 | − | 1.56859i | ||||
\(218\) | 327137. | + | 119068.i | 0.466217 | + | 0.169689i | ||||
\(219\) | −129461. | − | 47120.0i | −0.182402 | − | 0.0663888i | ||||
\(220\) | 228390. | − | 395583.i | 0.318141 | − | 0.551037i | ||||
\(221\) | 220045. | + | 381130.i | 0.303062 | + | 0.524919i | ||||
\(222\) | 207909. | + | 1.17911e6i | 0.283134 | + | 1.60573i | ||||
\(223\) | 920960. | + | 772777.i | 1.24016 | + | 1.04062i | 0.997511 | + | 0.0705065i | \(0.0224615\pi\) |
0.242651 | + | 0.970114i | \(0.421983\pi\) | |||||||
\(224\) | 150437. | − | 126231.i | 0.200324 | − | 0.168092i | ||||
\(225\) | 151098. | − | 856920.i | 0.198977 | − | 1.12845i | ||||
\(226\) | −13284.5 | + | 4835.17i | −0.0173011 | + | 0.00629710i | ||||
\(227\) | 172708. | 0.222458 | 0.111229 | − | 0.993795i | \(-0.464521\pi\) | ||||
0.111229 | + | 0.993795i | \(0.464521\pi\) | |||||||
\(228\) | −33582.5 | + | 569185.i | −0.0427834 | + | 0.725130i | ||||
\(229\) | 106292. | 0.133941 | 0.0669704 | − | 0.997755i | \(-0.478667\pi\) | ||||
0.0669704 | + | 0.997755i | \(0.478667\pi\) | |||||||
\(230\) | −401063. | + | 145975.i | −0.499912 | + | 0.181953i | ||||
\(231\) | −270208. | + | 1.53243e6i | −0.333172 | + | 1.88951i | ||||
\(232\) | −248843. | + | 208804.i | −0.303533 | + | 0.254694i | ||||
\(233\) | 387780. | + | 325386.i | 0.467946 | + | 0.392653i | 0.846045 | − | 0.533112i | \(-0.178978\pi\) |
−0.378099 | + | 0.925765i | \(0.623422\pi\) | |||||||
\(234\) | −83186.9 | − | 471776.i | −0.0993151 | − | 0.563244i | ||||
\(235\) | −1.12210e6 | − | 1.94354e6i | −1.32545 | − | 2.29575i | ||||
\(236\) | 329134. | − | 570076.i | 0.384674 | − | 0.666274i | ||||
\(237\) | 1.92683e6 | + | 701310.i | 2.22830 | + | 0.811034i | ||||
\(238\) | −714856. | − | 260186.i | −0.818043 | − | 0.297743i | ||||
\(239\) | 381429. | − | 660654.i | 0.431935 | − | 0.748134i | −0.565105 | − | 0.825019i | \(-0.691164\pi\) |
0.997040 | + | 0.0768854i | \(0.0244976\pi\) | |||||||
\(240\) | −230981. | − | 400071.i | −0.258850 | − | 0.448341i | ||||
\(241\) | 39291.1 | + | 222831.i | 0.0435764 | + | 0.247134i | 0.998813 | − | 0.0487087i | \(-0.0155106\pi\) |
−0.955237 | + | 0.295843i | \(0.904399\pi\) | |||||||
\(242\) | −100153. | − | 84038.6i | −0.109933 | − | 0.0922445i | ||||
\(243\) | −1.01188e6 | + | 849065.i | −1.09929 | + | 0.922412i | ||||
\(244\) | −44580.8 | + | 252830.i | −0.0479372 | + | 0.271866i | ||||
\(245\) | −1.49544e6 | + | 544297.i | −1.59168 | + | 0.579323i | ||||
\(246\) | −895312. | −0.943271 | ||||||||
\(247\) | −277074. | + | 640998.i | −0.288970 | + | 0.668520i | ||||
\(248\) | −419285. | −0.432892 | ||||||||
\(249\) | 2.14924e6 | − | 782260.i | 2.19678 | − | 0.799563i | ||||
\(250\) | 5494.98 | − | 31163.6i | 0.00556053 | − | 0.0315353i | ||||
\(251\) | −825060. | + | 692308.i | −0.826611 | + | 0.693609i | −0.954510 | − | 0.298178i | \(-0.903621\pi\) |
0.127899 | + | 0.991787i | \(0.459177\pi\) | |||||||
\(252\) | 634351. | + | 532284.i | 0.629257 | + | 0.528009i | ||||
\(253\) | −83310.5 | − | 472477.i | −0.0818273 | − | 0.464066i | ||||
\(254\) | 457736. | + | 792821.i | 0.445175 | + | 0.771065i | ||||
\(255\) | −894765. | + | 1.54978e6i | −0.861705 | + | 1.49252i | ||||
\(256\) | −61583.7 | − | 22414.6i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −436783. | − | 158976.i | −0.412509 | − | 0.150141i | 0.127425 | − | 0.991848i | \(-0.459329\pi\) |
−0.539934 | + | 0.841707i | \(0.681551\pi\) | |||||||
\(258\) | −510772. | + | 884683.i | −0.477725 | + | 0.827444i | ||||
\(259\) | −1.26739e6 | − | 2.19518e6i | −1.17398 | − | 2.03339i | ||||
\(260\) | −98247.6 | − | 557190.i | −0.0901339 | − | 0.511175i | ||||
\(261\) | −1.04930e6 | − | 880470.i | −0.953454 | − | 0.800043i | ||||
\(262\) | 67061.8 | − | 56271.5i | 0.0603562 | − | 0.0506449i | ||||
\(263\) | 256528. | − | 1.45484e6i | 0.228689 | − | 1.29696i | −0.626816 | − | 0.779167i | \(-0.715642\pi\) |
0.855505 | − | 0.517794i | \(-0.173247\pi\) | |||||||
\(264\) | 487971. | − | 177607.i | 0.430908 | − | 0.156838i | ||||
\(265\) | 2.44072e6 | 2.13503 | ||||||||
\(266\) | −345328. | − | 1.15665e6i | −0.299245 | − | 1.00230i | ||||
\(267\) | 2.48984e6 | 2.13744 | ||||||||
\(268\) | −333404. | + | 121349.i | −0.283553 | + | 0.103205i | ||||
\(269\) | −107735. | + | 610993.i | −0.0907767 | + | 0.514821i | 0.905183 | + | 0.425022i | \(0.139734\pi\) |
−0.995960 | + | 0.0897988i | \(0.971378\pi\) | |||||||
\(270\) | 148579. | − | 124672.i | 0.124036 | − | 0.104079i | ||||
\(271\) | −1.15897e6 | − | 972490.i | −0.958624 | − | 0.804381i | 0.0221047 | − | 0.999756i | \(-0.492963\pi\) |
−0.980729 | + | 0.195375i | \(0.937408\pi\) | |||||||
\(272\) | 44084.2 | + | 250014.i | 0.0361294 | + | 0.204900i | ||||
\(273\) | 963703. | + | 1.66918e6i | 0.782594 | + | 1.35549i | ||||
\(274\) | 68064.8 | − | 117892.i | 0.0547705 | − | 0.0948652i | ||||
\(275\) | 1.08553e6 | + | 395102.i | 0.865589 | + | 0.315049i | ||||
\(276\) | −455947. | − | 165951.i | −0.360281 | − | 0.131132i | ||||
\(277\) | −1.11990e6 | + | 1.93973e6i | −0.876961 | + | 1.51894i | −0.0223014 | + | 0.999751i | \(0.507099\pi\) |
−0.854659 | + | 0.519189i | \(0.826234\pi\) | |||||||
\(278\) | −112391. | − | 194668.i | −0.0872210 | − | 0.151071i | ||||
\(279\) | −307012. | − | 1.74115e6i | −0.236126 | − | 1.33914i | ||||
\(280\) | 749197. | + | 628651.i | 0.571086 | + | 0.479198i | ||||
\(281\) | −321570. | + | 269830.i | −0.242946 | + | 0.203856i | −0.756128 | − | 0.654424i | \(-0.772911\pi\) |
0.513182 | + | 0.858280i | \(0.328467\pi\) | |||||||
\(282\) | 443032. | − | 2.51256e6i | 0.331751 | − | 1.88145i | ||||
\(283\) | 1.14526e6 | − | 416839.i | 0.850034 | − | 0.309387i | 0.119980 | − | 0.992776i | \(-0.461717\pi\) |
0.730054 | + | 0.683389i | \(0.239495\pi\) | |||||||
\(284\) | 265264. | 0.195156 | ||||||||
\(285\) | −2.82060e6 | + | 327523.i | −2.05698 | + | 0.238852i | ||||
\(286\) | 635995. | 0.459768 | ||||||||
\(287\) | 1.78113e6 | − | 648279.i | 1.27641 | − | 0.464577i | ||||
\(288\) | 47987.2 | − | 272149.i | 0.0340914 | − | 0.193342i | ||||
\(289\) | −334318. | + | 280527.i | −0.235459 | + | 0.197574i | ||||
\(290\) | −1.23928e6 | − | 1.03988e6i | −0.865312 | − | 0.726083i | ||||
\(291\) | −321611. | − | 1.82394e6i | −0.222637 | − | 1.26264i | ||||
\(292\) | −48667.6 | − | 84294.7i | −0.0334028 | − | 0.0578553i | ||||
\(293\) | −357057. | + | 618440.i | −0.242979 | + | 0.420851i | −0.961561 | − | 0.274590i | \(-0.911458\pi\) |
0.718583 | + | 0.695442i | \(0.244791\pi\) | |||||||
\(294\) | −1.70009e6 | − | 618782.i | −1.14710 | − | 0.417512i | ||||
\(295\) | 3.08057e6 | + | 1.12123e6i | 2.06099 | + | 0.750138i | ||||
\(296\) | −422951. | + | 732572.i | −0.280583 | + | 0.485983i | ||||
\(297\) | 109012. | + | 188815.i | 0.0717107 | + | 0.124207i | ||||
\(298\) | 26842.4 | + | 152231.i | 0.0175098 | + | 0.0993027i | ||||
\(299\) | −455227. | − | 381981.i | −0.294476 | − | 0.247095i | ||||
\(300\) | 894975. | − | 750973.i | 0.574127 | − | 0.481750i | ||||
\(301\) | 375546. | − | 2.12983e6i | 0.238917 | − | 1.35497i | ||||
\(302\) | 665534. | − | 242235.i | 0.419907 | − | 0.152834i | ||||
\(303\) | −2.73279e6 | −1.71002 | ||||||||
\(304\) | −276661. | + | 292801.i | −0.171698 | + | 0.181714i | ||||
\(305\) | −1.27856e6 | −0.786991 | ||||||||
\(306\) | −1.00594e6 | + | 366134.i | −0.614145 | + | 0.223530i | ||||
\(307\) | 44201.7 | − | 250680.i | 0.0267666 | − | 0.151801i | −0.968495 | − | 0.249032i | \(-0.919888\pi\) |
0.995262 | + | 0.0972313i | \(0.0309987\pi\) | |||||||
\(308\) | −842168. | + | 706663.i | −0.505850 | + | 0.424459i | ||||
\(309\) | 1.07685e6 | + | 903583.i | 0.641591 | + | 0.538359i | ||||
\(310\) | −362595. | − | 2.05638e6i | −0.214298 | − | 1.21534i | ||||
\(311\) | 1.19733e6 | + | 2.07384e6i | 0.701962 | + | 1.21583i | 0.967777 | + | 0.251810i | \(0.0810259\pi\) |
−0.265814 | + | 0.964024i | \(0.585641\pi\) | |||||||
\(312\) | 321605. | − | 557037.i | 0.187041 | − | 0.323964i | ||||
\(313\) | −533112. | − | 194037.i | −0.307580 | − | 0.111950i | 0.183619 | − | 0.982998i | \(-0.441219\pi\) |
−0.491199 | + | 0.871048i | \(0.663441\pi\) | |||||||
\(314\) | −128461. | − | 46755.8i | −0.0735268 | − | 0.0267616i | ||||
\(315\) | −2.06200e6 | + | 3.57148e6i | −1.17088 | + | 2.02802i | ||||
\(316\) | 724343. | + | 1.25460e6i | 0.408062 | + | 0.706785i | ||||
\(317\) | 204710. | + | 1.16097e6i | 0.114417 | + | 0.648890i | 0.987037 | + | 0.160491i | \(0.0513078\pi\) |
−0.872620 | + | 0.488399i | \(0.837581\pi\) | |||||||
\(318\) | 2.12556e6 | + | 1.78356e6i | 1.17871 | + | 0.989053i | ||||
\(319\) | 1.39306e6 | − | 1.16892e6i | 0.766467 | − | 0.643142i | ||||
\(320\) | 56675.1 | − | 321421.i | 0.0309398 | − | 0.175468i | ||||
\(321\) | −370766. | + | 134948.i | −0.200834 | + | 0.0730976i | ||||
\(322\) | 1.02722e6 | 0.552109 | ||||||||
\(323\) | 1.51814e6 | + | 361017.i | 0.809665 | + | 0.192540i | ||||
\(324\) | −828759. | −0.438597 | ||||||||
\(325\) | 1.34458e6 | − | 489389.i | 0.706122 | − | 0.257007i | ||||
\(326\) | −105061. | + | 595833.i | −0.0547519 | + | 0.310514i | ||||
\(327\) | −1.50988e6 | + | 1.26694e6i | −0.780859 | + | 0.655218i | ||||
\(328\) | −484556. | − | 406591.i | −0.248691 | − | 0.208676i | ||||
\(329\) | 937932. | + | 5.31928e6i | 0.477729 | + | 2.70934i | ||||
\(330\) | 1.29307e6 | + | 2.23966e6i | 0.653636 | + | 1.13213i | ||||
\(331\) | 334035. | − | 578565.i | 0.167580 | − | 0.290257i | −0.769989 | − | 0.638058i | \(-0.779738\pi\) |
0.937568 | + | 0.347801i | \(0.113071\pi\) | |||||||
\(332\) | 1.51845e6 | + | 552671.i | 0.756060 | + | 0.275183i | ||||
\(333\) | −3.35182e6 | − | 1.21996e6i | −1.65642 | − | 0.602888i | ||||
\(334\) | 495046. | − | 857446.i | 0.242817 | − | 0.420572i | ||||
\(335\) | −883481. | − | 1.53023e6i | −0.430116 | − | 0.744982i | ||||
\(336\) | 193070. | + | 1.09495e6i | 0.0932966 | + | 0.529111i | ||||
\(337\) | −2.14247e6 | − | 1.79774e6i | −1.02764 | − | 0.862289i | −0.0370687 | − | 0.999313i | \(-0.511802\pi\) |
−0.990568 | + | 0.137023i | \(0.956246\pi\) | |||||||
\(338\) | −534242. | + | 448283.i | −0.254359 | + | 0.213432i | ||||
\(339\) | 13898.7 | − | 78823.4i | 0.00656863 | − | 0.0372525i | ||||
\(340\) | −1.18807e6 | + | 432421.i | −0.557370 | + | 0.202866i | ||||
\(341\) | 2.34722e6 | 1.09312 | ||||||||
\(342\) | −1.41848e6 | − | 934485.i | −0.655781 | − | 0.432023i | ||||
\(343\) | 606981. | 0.278574 | ||||||||
\(344\) | −678202. | + | 246845.i | −0.309003 | + | 0.112468i | ||||
\(345\) | 419605. | − | 2.37970e6i | 0.189799 | − | 1.07640i | ||||
\(346\) | −338579. | + | 284101.i | −0.152044 | + | 0.127580i | ||||
\(347\) | 1.12598e6 | + | 944812.i | 0.502005 | + | 0.421233i | 0.858306 | − | 0.513139i | \(-0.171517\pi\) |
−0.356300 | + | 0.934372i | \(0.615962\pi\) | |||||||
\(348\) | −319364. | − | 1.81120e6i | −0.141364 | − | 0.801713i | ||||
\(349\) | −1.46969e6 | − | 2.54558e6i | −0.645897 | − | 1.11873i | −0.984094 | − | 0.177651i | \(-0.943150\pi\) |
0.338196 | − | 0.941076i | \(-0.390183\pi\) | |||||||
\(350\) | −1.23670e6 | + | 2.14202e6i | −0.539626 | + | 0.934660i | ||||
\(351\) | 253767. | + | 92363.7i | 0.109943 | + | 0.0400160i | ||||
\(352\) | 344755. | + | 125481.i | 0.148304 | + | 0.0539784i | ||||
\(353\) | 1.22038e6 | − | 2.11375e6i | 0.521263 | − | 0.902854i | −0.478431 | − | 0.878125i | \(-0.658794\pi\) |
0.999694 | − | 0.0247289i | \(-0.00787226\pi\) | |||||||
\(354\) | 1.86344e6 | + | 3.22758e6i | 0.790329 | + | 1.36889i | ||||
\(355\) | 229398. | + | 1.30098e6i | 0.0966094 | + | 0.547899i | ||||
\(356\) | 1.34754e6 | + | 1.13072e6i | 0.563530 | + | 0.472857i | ||||
\(357\) | 3.29937e6 | − | 2.76850e6i | 1.37013 | − | 1.14967i | ||||
\(358\) | −151512. | + | 859265.i | −0.0624796 | + | 0.354339i | ||||
\(359\) | −514956. | + | 187429.i | −0.210880 | + | 0.0767539i | −0.445300 | − | 0.895381i | \(-0.646903\pi\) |
0.234420 | + | 0.972135i | \(0.424681\pi\) | |||||||
\(360\) | 1.37625e6 | 0.559682 | ||||||||
\(361\) | 977298. | + | 2.27507e6i | 0.394693 | + | 0.918813i | ||||
\(362\) | 1.18750e6 | 0.476279 | ||||||||
\(363\) | 695570. | − | 253167.i | 0.277060 | − | 0.100842i | ||||
\(364\) | −236461. | + | 1.34104e6i | −0.0935419 | + | 0.530502i | ||||
\(365\) | 371335. | − | 311587.i | 0.145893 | − | 0.122419i | ||||
\(366\) | −1.11346e6 | − | 934305.i | −0.434483 | − | 0.364574i | ||||
\(367\) | 627077. | + | 3.55633e6i | 0.243028 | + | 1.37828i | 0.825029 | + | 0.565091i | \(0.191159\pi\) |
−0.582001 | + | 0.813188i | \(0.697730\pi\) | |||||||
\(368\) | −171402. | − | 296876.i | −0.0659774 | − | 0.114276i | ||||
\(369\) | 1.33363e6 | − | 2.30992e6i | 0.509882 | − | 0.883142i | ||||
\(370\) | −3.95866e6 | − | 1.44083e6i | −1.50329 | − | 0.547154i | ||||
\(371\) | −5.52004e6 | − | 2.00913e6i | −2.08213 | − | 0.757832i | ||||
\(372\) | 1.18692e6 | − | 2.05581e6i | 0.444699 | − | 0.770241i | ||||
\(373\) | 251070. | + | 434865.i | 0.0934377 | + | 0.161839i | 0.908956 | − | 0.416893i | \(-0.136881\pi\) |
−0.815518 | + | 0.578732i | \(0.803548\pi\) | |||||||
\(374\) | −246790. | − | 1.39962e6i | −0.0912323 | − | 0.517404i | ||||
\(375\) | 137244. | + | 115161.i | 0.0503983 | + | 0.0422892i | ||||
\(376\) | 1.38081e6 | − | 1.15864e6i | 0.503692 | − | 0.422648i | ||||
\(377\) | 391139. | − | 2.21826e6i | 0.141735 | − | 0.803820i | ||||
\(378\) | −438658. | + | 159659.i | −0.157905 | + | 0.0574729i | ||||
\(379\) | 240568. | 0.0860278 | 0.0430139 | − | 0.999074i | \(-0.486304\pi\) | ||||
0.0430139 | + | 0.999074i | \(0.486304\pi\) | |||||||
\(380\) | −1.67529e6 | − | 1.10367e6i | −0.595157 | − | 0.392085i | ||||
\(381\) | −5.18309e6 | −1.82926 | ||||||||
\(382\) | −408709. | + | 148758.i | −0.143303 | + | 0.0521581i | ||||
\(383\) | 447924. | − | 2.54031e6i | 0.156030 | − | 0.884889i | −0.801808 | − | 0.597581i | \(-0.796129\pi\) |
0.957838 | − | 0.287308i | \(-0.0927603\pi\) | |||||||
\(384\) | 284235. | − | 238502.i | 0.0983671 | − | 0.0825398i | ||||
\(385\) | −4.19412e6 | − | 3.51929e6i | −1.44208 | − | 1.21005i | ||||
\(386\) | 301154. | + | 1.70793e6i | 0.102878 | + | 0.583448i | ||||
\(387\) | −1.52166e6 | − | 2.63560e6i | −0.516465 | − | 0.894544i | ||||
\(388\) | 654254. | − | 1.13320e6i | 0.220631 | − | 0.382144i | ||||
\(389\) | −247418. | − | 90052.8i | −0.0829005 | − | 0.0301733i | 0.300237 | − | 0.953865i | \(-0.402934\pi\) |
−0.383138 | + | 0.923691i | \(0.625156\pi\) | |||||||
\(390\) | 3.01010e6 | + | 1.09559e6i | 1.00212 | + | 0.364742i | ||||
\(391\) | −663969. | + | 1.15003e6i | −0.219637 | + | 0.380423i | ||||
\(392\) | −639104. | − | 1.10696e6i | −0.210066 | − | 0.363846i | ||||
\(393\) | 86066.7 | + | 488109.i | 0.0281096 | + | 0.159417i | ||||
\(394\) | −699430. | − | 586892.i | −0.226988 | − | 0.190466i | ||||
\(395\) | −5.52676e6 | + | 4.63750e6i | −1.78229 | + | 1.49552i | ||||
\(396\) | −268640. | + | 1.52353e6i | −0.0860860 | + | 0.488218i | ||||
\(397\) | −2.90073e6 | + | 1.05578e6i | −0.923700 | + | 0.336199i | −0.759710 | − | 0.650262i | \(-0.774659\pi\) |
−0.163991 | + | 0.986462i | \(0.552437\pi\) | |||||||
\(398\) | 3.65928e6 | 1.15794 | ||||||||
\(399\) | 6.64879e6 | + | 1.58110e6i | 2.09079 | + | 0.497194i | ||||
\(400\) | 825416. | 0.257943 | ||||||||
\(401\) | 1.56984e6 | − | 571374.i | 0.487521 | − | 0.177443i | −0.0865516 | − | 0.996247i | \(-0.527585\pi\) |
0.574073 | + | 0.818804i | \(0.305363\pi\) | |||||||
\(402\) | 348818. | − | 1.97825e6i | 0.107655 | − | 0.610541i | ||||
\(403\) | 2.22717e6 | − | 1.86881e6i | 0.683109 | − | 0.573196i | ||||
\(404\) | −1.47903e6 | − | 1.24105e6i | −0.450841 | − | 0.378300i | ||||
\(405\) | −716706. | − | 4.06464e6i | −0.217122 | − | 1.23136i | ||||
\(406\) | 1.94680e6 | + | 3.37196e6i | 0.586147 | + | 1.01524i | ||||
\(407\) | 2.36774e6 | − | 4.10105e6i | 0.708514 | − | 1.22718i | ||||
\(408\) | −1.35065e6 | − | 491596.i | −0.401691 | − | 0.146204i | ||||
\(409\) | 5.74377e6 | + | 2.09056e6i | 1.69781 | + | 0.617952i | 0.995573 | − | 0.0939913i | \(-0.0299626\pi\) |
0.702237 | + | 0.711944i | \(0.252185\pi\) | |||||||
\(410\) | 1.57508e6 | − | 2.72812e6i | 0.462746 | − | 0.801500i | ||||
\(411\) | 385360. | + | 667463.i | 0.112528 | + | 0.194905i | ||||
\(412\) | 172459. | + | 978066.i | 0.0500546 | + | 0.283874i | ||||
\(413\) | −6.04417e6 | − | 5.07166e6i | −1.74366 | − | 1.46310i | ||||
\(414\) | 1.10732e6 | − | 929154.i | 0.317522 | − | 0.266432i | ||||
\(415\) | −1.39742e6 | + | 7.92518e6i | −0.398298 | + | 2.25886i | ||||
\(416\) | 427027. | − | 155425.i | 0.120982 | − | 0.0440339i | ||||
\(417\) | 1.27264e6 | 0.358399 | ||||||||
\(418\) | 1.54879e6 | − | 1.63914e6i | 0.433563 | − | 0.458855i | ||||
\(419\) | 1.09637e6 | 0.305087 | 0.152543 | − | 0.988297i | \(-0.451254\pi\) | ||||
0.152543 | + | 0.988297i | \(0.451254\pi\) | |||||||
\(420\) | −5.20322e6 | + | 1.89382e6i | −1.43929 | + | 0.523859i | ||||
\(421\) | −941745. | + | 5.34090e6i | −0.258957 | + | 1.46862i | 0.526749 | + | 0.850021i | \(0.323411\pi\) |
−0.785706 | + | 0.618600i | \(0.787700\pi\) | |||||||
\(422\) | 1.22530e6 | − | 1.02815e6i | 0.334935 | − | 0.281044i | ||||
\(423\) | 5.82252e6 | + | 4.88567e6i | 1.58219 | + | 1.32762i | ||||
\(424\) | 340413. | + | 1.93058e6i | 0.0919585 | + | 0.521522i | ||||
\(425\) | −1.59873e6 | − | 2.76909e6i | −0.429342 | − | 0.743643i | ||||
\(426\) | −750916. | + | 1.30063e6i | −0.200478 | + | 0.347239i | ||||
\(427\) | 2.89163e6 | + | 1.05247e6i | 0.767491 | + | 0.279344i | ||||
\(428\) | −261949. | − | 95341.5i | −0.0691205 | − | 0.0251578i | ||||
\(429\) | −1.80039e6 | + | 3.11838e6i | −0.472307 | + | 0.818060i | ||||
\(430\) | −1.79715e6 | − | 3.11276e6i | −0.468721 | − | 0.811848i | ||||
\(431\) | −948331. | − | 5.37825e6i | −0.245905 | − | 1.39459i | −0.818382 | − | 0.574674i | \(-0.805129\pi\) |
0.572478 | − | 0.819920i | \(-0.305982\pi\) | |||||||
\(432\) | 119337. | + | 100136.i | 0.0307656 | + | 0.0258154i | ||||
\(433\) | −3.97309e6 | + | 3.33382e6i | −1.01838 | + | 0.854520i | −0.989423 | − | 0.145061i | \(-0.953662\pi\) |
−0.0289545 | + | 0.999581i | \(0.509218\pi\) | |||||||
\(434\) | −872689. | + | 4.94926e6i | −0.222400 | + | 1.26129i | ||||
\(435\) | 8.60684e6 | − | 3.13263e6i | 2.18082 | − | 0.793755i | ||||
\(436\) | −1.39253e6 | −0.350823 | ||||||||
\(437\) | −2.09305e6 | + | 243041.i | −0.524296 | + | 0.0608802i | ||||
\(438\) | 551079. | 0.137255 | ||||||||
\(439\) | 403165. | − | 146740.i | 0.0998440 | − | 0.0363402i | −0.291615 | − | 0.956536i | \(-0.594193\pi\) |
0.391459 | + | 0.920195i | \(0.371970\pi\) | |||||||
\(440\) | −317276. | + | 1.79936e6i | −0.0781278 | + | 0.443085i | ||||
\(441\) | 4.12887e6 | − | 3.46453e6i | 1.01096 | − | 0.848298i | ||||
\(442\) | −1.34852e6 | − | 1.13154e6i | −0.328322 | − | 0.275495i | ||||
\(443\) | 607314. | + | 3.44425e6i | 0.147029 | + | 0.833845i | 0.965715 | + | 0.259603i | \(0.0835918\pi\) |
−0.818686 | + | 0.574241i | \(0.805297\pi\) | |||||||
\(444\) | −2.39460e6 | − | 4.14758e6i | −0.576470 | − | 0.998475i | ||||
\(445\) | −4.38026e6 | + | 7.58684e6i | −1.04858 | + | 1.81619i | ||||
\(446\) | −4.51890e6 | − | 1.64474e6i | −1.07571 | − | 0.391527i | ||||
\(447\) | −822394. | − | 299327.i | −0.194676 | − | 0.0708561i | ||||
\(448\) | −392762. | + | 680285.i | −0.0924560 | + | 0.160138i | ||||
\(449\) | 1.43337e6 | + | 2.48267e6i | 0.335538 | + | 0.581169i | 0.983588 | − | 0.180429i | \(-0.0577486\pi\) |
−0.648050 | + | 0.761598i | \(0.724415\pi\) | |||||||
\(450\) | 604392. | + | 3.42768e6i | 0.140698 | + | 0.797937i | ||||
\(451\) | 2.71262e6 | + | 2.27616e6i | 0.627983 | + | 0.526940i | ||||
\(452\) | 43318.5 | − | 36348.6i | 0.00997304 | − | 0.00836838i | ||||
\(453\) | −696303. | + | 3.94893e6i | −0.159424 | + | 0.904137i | ||||
\(454\) | −649169. | + | 236278.i | −0.147815 | + | 0.0538002i | ||||
\(455\) | −6.78159e6 | −1.53569 | ||||||||
\(456\) | −652462. | − | 2.18538e6i | −0.146941 | − | 0.492169i | ||||
\(457\) | −6.29130e6 | −1.40913 | −0.704563 | − | 0.709642i | \(-0.748857\pi\) | ||||
−0.704563 | + | 0.709642i | \(0.748857\pi\) | |||||||
\(458\) | −399528. | + | 145416.i | −0.0889988 | + | 0.0323929i | ||||
\(459\) | 104791. | − | 594299.i | 0.0232162 | − | 0.131666i | ||||
\(460\) | 1.30780e6 | − | 1.09737e6i | 0.288168 | − | 0.241802i | ||||
\(461\) | 3.44020e6 | + | 2.88667e6i | 0.753932 | + | 0.632624i | 0.936539 | − | 0.350562i | \(-0.114009\pi\) |
−0.182608 | + | 0.983186i | \(0.558454\pi\) | |||||||
\(462\) | −1.08083e6 | − | 6.12971e6i | −0.235588 | − | 1.33609i | ||||
\(463\) | −3.03377e6 | − | 5.25464e6i | −0.657703 | − | 1.13917i | −0.981209 | − | 0.192949i | \(-0.938195\pi\) |
0.323506 | − | 0.946226i | \(-0.395138\pi\) | |||||||
\(464\) | 649683. | − | 1.12528e6i | 0.140090 | − | 0.242643i | ||||
\(465\) | 1.11092e7 | + | 4.04340e6i | 2.38259 | + | 0.867191i | ||||
\(466\) | −1.90273e6 | − | 692537.i | −0.405894 | − | 0.147733i | ||||
\(467\) | 3.44274e6 | − | 5.96301e6i | 0.730487 | − | 1.26524i | −0.226189 | − | 0.974084i | \(-0.572627\pi\) |
0.956675 | − | 0.291157i | \(-0.0940401\pi\) | |||||||
\(468\) | 958109. | + | 1.65949e6i | 0.202209 | + | 0.350236i | ||||
\(469\) | 738474. | + | 4.18809e6i | 0.155025 | + | 0.879193i | ||||
\(470\) | 6.87666e6 | + | 5.77020e6i | 1.43593 | + | 1.20489i | ||||
\(471\) | 592901. | − | 497503.i | 0.123149 | − | 0.103334i | ||||
\(472\) | −457228. | + | 2.59307e6i | −0.0944664 | + | 0.535746i | ||||
\(473\) | 3.79668e6 | − | 1.38188e6i | 0.780280 | − | 0.283999i | ||||
\(474\) | −8.20197e6 | −1.67677 | ||||||||
\(475\) | 2.01307e6 | − | 4.65715e6i | 0.409379 | − | 0.947079i | ||||
\(476\) | 3.04294e6 | 0.615567 | ||||||||
\(477\) | −7.76779e6 | + | 2.82724e6i | −1.56315 | + | 0.568941i | ||||
\(478\) | −529875. | + | 3.00507e6i | −0.106073 | + | 0.601569i | ||||
\(479\) | 4.68409e6 | − | 3.93041e6i | 0.932795 | − | 0.782708i | −0.0435223 | − | 0.999052i | \(-0.513858\pi\) |
0.976317 | + | 0.216345i | \(0.0694135\pi\) | |||||||
\(480\) | 1.41553e6 | + | 1.18777e6i | 0.280425 | + | 0.235305i | ||||
\(481\) | −1.01854e6 | − | 5.77644e6i | −0.200732 | − | 1.13841i | ||||
\(482\) | −452537. | − | 783817.i | −0.0887230 | − | 0.153673i | ||||
\(483\) | −2.90789e6 | + | 5.03662e6i | −0.567167 | + | 0.982362i | ||||
\(484\) | 491425. | + | 178864.i | 0.0953550 | + | 0.0347064i | ||||
\(485\) | 6.12356e6 | + | 2.22880e6i | 1.18209 | + | 0.430245i | ||||
\(486\) | 2.64182e6 | − | 4.57577e6i | 0.507356 | − | 0.878766i | ||||
\(487\) | 960698. | + | 1.66398e6i | 0.183554 | + | 0.317925i | 0.943088 | − | 0.332542i | \(-0.107906\pi\) |
−0.759534 | + | 0.650467i | \(0.774573\pi\) | |||||||
\(488\) | −178323. | − | 1.01132e6i | −0.0338967 | − | 0.192238i | ||||
\(489\) | −2.62404e6 | − | 2.20183e6i | −0.496248 | − | 0.416402i | ||||
\(490\) | 4.87639e6 | − | 4.09177e6i | 0.917504 | − | 0.769877i | ||||
\(491\) | −743618. | + | 4.21727e6i | −0.139202 | + | 0.789455i | 0.832639 | + | 0.553817i | \(0.186829\pi\) |
−0.971841 | + | 0.235638i | \(0.924282\pi\) | |||||||
\(492\) | 3.36527e6 | − | 1.22486e6i | 0.626769 | − | 0.228125i | ||||
\(493\) | −5.03344e6 | −0.932711 | ||||||||
\(494\) | 164520. | − | 2.78842e6i | 0.0303320 | − | 0.514092i | ||||
\(495\) | −7.70447e6 | −1.41328 | ||||||||
\(496\) | 1.57600e6 | − | 573615.i | 0.287641 | − | 0.104693i | ||||
\(497\) | 552113. | − | 3.13119e6i | 0.100262 | − | 0.568615i | ||||
\(498\) | −7.00831e6 | + | 5.88067e6i | −1.26631 | + | 1.06256i | ||||
\(499\) | 5.64702e6 | + | 4.73842e6i | 1.01524 | + | 0.851887i | 0.989022 | − | 0.147770i | \(-0.0472094\pi\) |
0.0262172 | + | 0.999656i | \(0.491654\pi\) | |||||||
\(500\) | 21979.9 | + | 124654.i | 0.00393189 | + | 0.0222988i | ||||
\(501\) | 2.80279e6 | + | 4.85457e6i | 0.498879 | + | 0.864084i | ||||
\(502\) | 2.15408e6 | − | 3.73098e6i | 0.381507 | − | 0.660789i | ||||
\(503\) | −6.64082e6 | − | 2.41706e6i | −1.17031 | − | 0.425959i | −0.317541 | − | 0.948244i | \(-0.602857\pi\) |
−0.852771 | + | 0.522286i | \(0.825079\pi\) | |||||||
\(504\) | −3.11259e6 | − | 1.13289e6i | −0.545814 | − | 0.198660i | ||||
\(505\) | 4.80768e6 | − | 8.32714e6i | 0.838893 | − | 1.45301i | ||||
\(506\) | 959532. | + | 1.66196e6i | 0.166603 | + | 0.288565i | ||||
\(507\) | −685644. | − | 3.88848e6i | −0.118462 | − | 0.671831i | ||||
\(508\) | −2.80517e6 | − | 2.35381e6i | −0.482280 | − | 0.404681i | ||||
\(509\) | 6.80116e6 | − | 5.70685e6i | 1.16356 | − | 0.976342i | 0.163611 | − | 0.986525i | \(-0.447686\pi\) |
0.999948 | + | 0.0101833i | \(0.00324151\pi\) | |||||||
\(510\) | 1.24299e6 | − | 7.04937e6i | 0.211614 | − | 1.20012i | ||||
\(511\) | −1.09632e6 | + | 399026.i | −0.185731 | + | 0.0676004i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | 856028. | − | 429105.i | 0.143613 | − | 0.0719896i | ||||
\(514\) | 1.85926e6 | 0.310408 | ||||||||
\(515\) | −4.64777e6 | + | 1.69165e6i | −0.772195 | + | 0.281056i | ||||
\(516\) | 709557. | − | 4.02410e6i | 0.117318 | − | 0.665341i | ||||
\(517\) | −7.73000e6 | + | 6.48624e6i | −1.27190 | + | 1.06725i | ||||
\(518\) | 7.76701e6 | + | 6.51730e6i | 1.27183 | + | 1.06719i | ||||
\(519\) | −434530. | − | 2.46434e6i | −0.0708111 | − | 0.401590i | ||||
\(520\) | 1.13157e6 | + | 1.95994e6i | 0.183516 | + | 0.317858i | ||||
\(521\) | −2.36611e6 | + | 4.09823e6i | −0.381893 | + | 0.661458i | −0.991333 | − | 0.131374i | \(-0.958061\pi\) |
0.609440 | + | 0.792832i | \(0.291394\pi\) | |||||||
\(522\) | 5.14864e6 | + | 1.87395e6i | 0.827021 | + | 0.301011i | ||||
\(523\) | 1.69909e6 | + | 618419.i | 0.271621 | + | 0.0988618i | 0.474240 | − | 0.880396i | \(-0.342723\pi\) |
−0.202619 | + | 0.979258i | \(0.564945\pi\) | |||||||
\(524\) | −175086. | + | 303258.i | −0.0278563 | + | 0.0482485i | ||||
\(525\) | −7.00176e6 | − | 1.21274e7i | −1.10869 | − | 1.92030i | ||||
\(526\) | 1.02611e6 | + | 5.81937e6i | 0.161708 | + | 0.917090i | ||||
\(527\) | −4.97687e6 | − | 4.17609e6i | −0.780602 | − | 0.655003i | ||||
\(528\) | −1.59119e6 | + | 1.33517e6i | −0.248392 | + | 0.208426i | ||||
\(529\) | −806287. | + | 4.57268e6i | −0.125271 | + | 0.710447i | ||||
\(530\) | −9.17412e6 | + | 3.33911e6i | −1.41865 | + | 0.516346i | ||||
\(531\) | −1.11029e7 | −1.70884 | ||||||||
\(532\) | 2.88040e6 | + | 3.87515e6i | 0.441239 | + | 0.593622i | ||||
\(533\) | 4.38611e6 | 0.668747 | ||||||||
\(534\) | −9.35874e6 | + | 3.40630e6i | −1.42025 | + | 0.516928i | ||||
\(535\) | 241070. | − | 1.36717e6i | 0.0364132 | − | 0.206509i | ||||
\(536\) | 1.08717e6 | − | 912247.i | 0.163451 | − | 0.137151i | ||||
\(537\) | −3.78420e6 | − | 3.17532e6i | −0.566289 | − | 0.475173i | ||||
\(538\) | −430939. | − | 2.44397e6i | −0.0641889 | − | 0.364033i | ||||
\(539\) | 3.57780e6 | + | 6.19694e6i | 0.530450 | + | 0.918767i | ||||
\(540\) | −387912. | + | 671883.i | −0.0572464 | + | 0.0991538i | ||||
\(541\) | −1.09494e6 | − | 398525.i | −0.160841 | − | 0.0585413i | 0.260345 | − | 0.965516i | \(-0.416164\pi\) |
−0.421186 | + | 0.906974i | \(0.638386\pi\) | |||||||
\(542\) | 5.68674e6 | + | 2.06980e6i | 0.831506 | + | 0.302643i | ||||
\(543\) | −3.36161e6 | + | 5.82247e6i | −0.489269 | + | 0.847438i | ||||
\(544\) | −507742. | − | 879434.i | −0.0735607 | − | 0.127411i | ||||
\(545\) | −1.20425e6 | − | 6.82964e6i | −0.173670 | − | 0.984933i | ||||
\(546\) | −5.90591e6 | − | 4.95565e6i | −0.847824 | − | 0.711408i | ||||
\(547\) | −3.15253e6 | + | 2.64529e6i | −0.450496 | + | 0.378011i | −0.839620 | − | 0.543174i | \(-0.817222\pi\) |
0.389124 | + | 0.921185i | \(0.372778\pi\) | |||||||
\(548\) | −94554.7 | + | 536246.i | −0.0134503 | + | 0.0762804i | ||||
\(549\) | 4.06910e6 | − | 1.48103e6i | 0.576193 | − | 0.209717i | ||||
\(550\) | −4.62081e6 | −0.651345 | ||||||||
\(551\) | −4.76458e6 | − | 6.41004e6i | −0.668568 | − | 0.899460i | ||||
\(552\) | 1.94083e6 | 0.271107 | ||||||||
\(553\) | 1.63170e7 | − | 5.93890e6i | 2.26896 | − | 0.825835i | ||||
\(554\) | 1.55575e6 | − | 8.82310e6i | 0.215360 | − | 1.22137i | ||||
\(555\) | 1.82709e7 | − | 1.53311e7i | 2.51784 | − | 2.11272i | ||||
\(556\) | 688775. | + | 577951.i | 0.0944909 | + | 0.0792873i | ||||
\(557\) | 1.54674e6 | + | 8.77202e6i | 0.211242 | + | 1.19801i | 0.887310 | + | 0.461174i | \(0.152571\pi\) |
−0.676068 | + | 0.736839i | \(0.736317\pi\) | |||||||
\(558\) | 3.53602e6 | + | 6.12457e6i | 0.480761 | + | 0.832702i | ||||
\(559\) | 2.50226e6 | − | 4.33404e6i | 0.338690 | − | 0.586629i | ||||
\(560\) | −3.67611e6 | − | 1.33799e6i | −0.495357 | − | 0.180295i | ||||
\(561\) | 7.56114e6 | + | 2.75203e6i | 1.01433 | + | 0.369187i | ||||
\(562\) | 839561. | − | 1.45416e6i | 0.112127 | − | 0.194210i | ||||
\(563\) | −2.27735e6 | − | 3.94448e6i | −0.302801 | − | 0.524467i | 0.673968 | − | 0.738761i | \(-0.264589\pi\) |
−0.976769 | + | 0.214293i | \(0.931255\pi\) | |||||||
\(564\) | 1.77213e6 | + | 1.00502e7i | 0.234584 | + | 1.33039i | ||||
\(565\) | 215733. | + | 181021.i | 0.0284312 | + | 0.0238566i | ||||
\(566\) | −3.73448e6 | + | 3.13360e6i | −0.489993 | + | 0.411153i | ||||
\(567\) | −1.72496e6 | + | 9.78272e6i | −0.225331 | + | 1.27792i | ||||
\(568\) | −997065. | + | 362902.i | −0.129674 | + | 0.0471974i | ||||
\(569\) | 6.90310e6 | 0.893848 | 0.446924 | − | 0.894572i | \(-0.352519\pi\) | ||||
0.446924 | + | 0.894572i | \(0.352519\pi\) | |||||||
\(570\) | 1.01539e7 | − | 5.08989e6i | 1.30902 | − | 0.656178i | ||||
\(571\) | −3.20907e6 | −0.411897 | −0.205949 | − | 0.978563i | \(-0.566028\pi\) | ||||
−0.205949 | + | 0.978563i | \(0.566028\pi\) | |||||||
\(572\) | −2.39056e6 | + | 870093.i | −0.305499 | + | 0.111192i | ||||
\(573\) | 427605. | − | 2.42507e6i | 0.0544071 | − | 0.308558i | ||||
\(574\) | −5.80797e6 | + | 4.87347e6i | −0.735774 | + | 0.617388i | ||||
\(575\) | 3.30744e6 | + | 2.77527e6i | 0.417179 | + | 0.350055i | ||||
\(576\) | 191949. | + | 1.08860e6i | 0.0241062 | + | 0.136713i | ||||
\(577\) | 3.09882e6 | + | 5.36731e6i | 0.387487 | + | 0.671147i | 0.992111 | − | 0.125364i | \(-0.0400100\pi\) |
−0.604624 | + | 0.796511i | \(0.706677\pi\) | |||||||
\(578\) | 872844. | − | 1.51181e6i | 0.108672 | − | 0.188225i | ||||
\(579\) | −9.22675e6 | − | 3.35826e6i | −1.14381 | − | 0.416311i | ||||
\(580\) | 6.08079e6 | + | 2.21323e6i | 0.750568 | + | 0.273184i | ||||
\(581\) | 9.68424e6 | − | 1.67736e7i | 1.19021 | − | 2.06151i | ||||
\(582\) | 3.70416e6 | + | 6.41580e6i | 0.453297 | + | 0.785133i | ||||
\(583\) | −1.90568e6 | − | 1.08077e7i | −0.232209 | − | 1.31692i | ||||
\(584\) | 298252. | + | 250263.i | 0.0361869 | + | 0.0303644i | ||||
\(585\) | −7.31040e6 | + | 6.13415e6i | −0.883184 | + | 0.741080i | ||||
\(586\) | 496018. | − | 2.81306e6i | 0.0596696 | − | 0.338403i | ||||
\(587\) | −9.93922e6 | + | 3.61758e6i | −1.19058 | + | 0.433334i | −0.859926 | − | 0.510419i | \(-0.829490\pi\) |
−0.330650 | + | 0.943753i | \(0.607268\pi\) | |||||||
\(588\) | 7.23678e6 | 0.863182 | ||||||||
\(589\) | 607181. | − | 1.02910e7i | 0.0721157 | − | 1.22228i | ||||
\(590\) | −1.31131e7 | −1.55087 | ||||||||
\(591\) | 4.85758e6 | − | 1.76801e6i | 0.572073 | − | 0.208218i | ||||
\(592\) | 587557. | − | 3.33220e6i | 0.0689042 | − | 0.390775i | ||||
\(593\) | −7.46430e6 | + | 6.26329e6i | −0.871670 | + | 0.731418i | −0.964449 | − | 0.264269i | \(-0.914869\pi\) |
0.0927789 | + | 0.995687i | \(0.470425\pi\) | |||||||
\(594\) | −668066. | − | 560574.i | −0.0776879 | − | 0.0651879i | ||||
\(595\) | 2.63151e6 | + | 1.49240e7i | 0.304728 | + | 1.72820i | ||||
\(596\) | −309158. | − | 535477.i | −0.0356504 | − | 0.0617484i | ||||
\(597\) | −1.03588e7 | + | 1.79420e7i | −1.18953 | + | 2.06032i | ||||
\(598\) | 2.23367e6 | + | 812991.i | 0.255427 | + | 0.0929678i | ||||
\(599\) | −9.15263e6 | − | 3.33128e6i | −1.04227 | − | 0.379354i | −0.236528 | − | 0.971625i | \(-0.576009\pi\) |
−0.805739 | + | 0.592271i | \(0.798232\pi\) | |||||||
\(600\) | −2.33661e6 | + | 4.04713e6i | −0.264977 | + | 0.458954i | ||||
\(601\) | 1.80256e6 | + | 3.12213e6i | 0.203565 | + | 0.352586i | 0.949675 | − | 0.313238i | \(-0.101414\pi\) |
−0.746109 | + | 0.665823i | \(0.768080\pi\) | |||||||
\(602\) | 1.50218e6 | + | 8.51931e6i | 0.168940 | + | 0.958106i | ||||
\(603\) | 4.58431e6 | + | 3.84670e6i | 0.513430 | + | 0.430819i | ||||
\(604\) | −2.17019e6 | + | 1.82101e6i | −0.242051 | + | 0.203104i | ||||
\(605\) | −452255. | + | 2.56487e6i | −0.0502337 | + | 0.284890i | ||||
\(606\) | 1.02719e7 | − | 3.73868e6i | 1.13624 | − | 0.413558i | ||||
\(607\) | −1.80180e6 | −0.198488 | −0.0992441 | − | 0.995063i | \(-0.531642\pi\) | ||||
−0.0992441 | + | 0.995063i | \(0.531642\pi\) | |||||||
\(608\) | 639331. | − | 1.47907e6i | 0.0701402 | − | 0.162266i | ||||
\(609\) | −2.20443e7 | −2.40853 | ||||||||
\(610\) | 4.80580e6 | − | 1.74917e6i | 0.522927 | − | 0.190330i | ||||
\(611\) | −2.17040e6 | + | 1.23090e7i | −0.235200 | + | 1.33389i | ||||
\(612\) | 3.28022e6 | − | 2.75243e6i | 0.354017 | − | 0.297055i | ||||
\(613\) | −5.59640e6 | − | 4.69593e6i | −0.601530 | − | 0.504744i | 0.290407 | − | 0.956903i | \(-0.406209\pi\) |
−0.891937 | + | 0.452160i | \(0.850654\pi\) | |||||||
\(614\) | 176807. | + | 1.00272e6i | 0.0189268 | + | 0.107339i | ||||
\(615\) | 8.91757e6 | + | 1.54457e7i | 0.950734 | + | 1.64672i | ||||
\(616\) | 2.19874e6 | − | 3.80834e6i | 0.233466 | − | 0.404374i | ||||
\(617\) | 1.26014e7 | + | 4.58654e6i | 1.33262 | + | 0.485034i | 0.907481 | − | 0.420094i | \(-0.138003\pi\) |
0.425140 | + | 0.905128i | \(0.360225\pi\) | |||||||
\(618\) | −5.28380e6 | − | 1.92315e6i | −0.556513 | − | 0.202554i | ||||
\(619\) | −8.87993e6 | + | 1.53805e7i | −0.931500 | + | 1.61341i | −0.150741 | + | 0.988573i | \(0.548166\pi\) |
−0.780759 | + | 0.624832i | \(0.785167\pi\) | |||||||
\(620\) | 4.17620e6 | + | 7.23339e6i | 0.436317 | + | 0.755724i | ||||
\(621\) | 141500. | + | 802485.i | 0.0147240 | + | 0.0835041i | ||||
\(622\) | −7.33768e6 | − | 6.15705e6i | −0.760471 | − | 0.638111i | ||||
\(623\) | 1.61518e7 | − | 1.35530e7i | 1.66725 | − | 1.39899i | ||||
\(624\) | −446769. | + | 2.53375e6i | −0.0459327 | + | 0.260497i | ||||
\(625\) | 8.87588e6 | − | 3.23055e6i | 0.908890 | − | 0.330809i | ||||
\(626\) | 2.26931e6 | 0.231450 | ||||||||
\(627\) | 3.65258e6 | + | 1.22341e7i | 0.371049 | + | 1.24280i | ||||
\(628\) | 546820. | 0.0553280 | ||||||||
\(629\) | −1.23168e7 | + | 4.48296e6i | −1.24129 | + | 0.451791i | ||||
\(630\) | 2.86450e6 | − | 1.62454e7i | 0.287539 | − | 1.63071i | ||||
\(631\) | −2.33386e6 | + | 1.95834e6i | −0.233347 | + | 0.195801i | −0.751962 | − | 0.659207i | \(-0.770892\pi\) |
0.518615 | + | 0.855008i | \(0.326448\pi\) | |||||||
\(632\) | −4.43903e6 | − | 3.72479e6i | −0.442075 | − | 0.370945i | ||||
\(633\) | 1.57254e6 | + | 8.91832e6i | 0.155989 | + | 0.884655i | ||||
\(634\) | −2.35775e6 | − | 4.08374e6i | −0.232956 | − | 0.403492i | ||||
\(635\) | 9.11837e6 | − | 1.57935e7i | 0.897393 | − | 1.55433i | ||||
\(636\) | −1.04296e7 | − | 3.79605e6i | −1.02241 | − | 0.372125i | ||||
\(637\) | 8.32869e6 | + | 3.03140e6i | 0.813258 | + | 0.296002i | ||||
\(638\) | −3.63702e6 | + | 6.29951e6i | −0.353748 | + | 0.612710i | ||||
\(639\) | −2.23709e6 | − | 3.87475e6i | −0.216736 | − | 0.375398i | ||||
\(640\) | 226701. | + | 1.28568e6i | 0.0218777 | + | 0.124075i | ||||
\(641\) | 4.91187e6 | + | 4.12155e6i | 0.472174 | + | 0.396201i | 0.847587 | − | 0.530657i | \(-0.178055\pi\) |
−0.375413 | + | 0.926858i | \(0.622499\pi\) | |||||||
\(642\) | 1.20901e6 | − | 1.01448e6i | 0.115769 | − | 0.0971413i | ||||
\(643\) | 1.26742e6 | − | 7.18787e6i | 0.120890 | − | 0.685603i | −0.862774 | − | 0.505590i | \(-0.831275\pi\) |
0.983664 | − | 0.180013i | \(-0.0576141\pi\) | |||||||
\(644\) | −3.86110e6 | + | 1.40532e6i | −0.366856 | + | 0.133525i | ||||
\(645\) | 2.03498e7 | 1.92602 | ||||||||
\(646\) | −6.20024e6 | + | 719959.i | −0.584558 | + | 0.0678776i | ||||
\(647\) | −9.74699e6 | −0.915397 | −0.457699 | − | 0.889107i | \(-0.651326\pi\) | ||||
−0.457699 | + | 0.889107i | \(0.651326\pi\) | |||||||
\(648\) | 3.11511e6 | − | 1.13381e6i | 0.291431 | − | 0.106072i | ||||
\(649\) | 2.55963e6 | − | 1.45164e7i | 0.238542 | − | 1.35284i | ||||
\(650\) | −4.38446e6 | + | 3.67900e6i | −0.407036 | + | 0.341544i | ||||
\(651\) | −2.17965e7 | − | 1.82894e7i | −2.01574 | − | 1.69141i | ||||
\(652\) | −420246. | − | 2.38333e6i | −0.0387155 | − | 0.219566i | ||||
\(653\) | −6.21388e6 | − | 1.07628e7i | −0.570269 | − | 0.987736i | −0.996538 | − | 0.0831390i | \(-0.973505\pi\) |
0.426269 | − | 0.904597i | \(-0.359828\pi\) | |||||||
\(654\) | 3.94201e6 | − | 6.82776e6i | 0.360391 | − | 0.624215i | ||||
\(655\) | −1.63874e6 | − | 596452.i | −0.149247 | − | 0.0543215i | ||||
\(656\) | 2.37759e6 | + | 865370.i | 0.215713 | + | 0.0785132i | ||||
\(657\) | −820871. | + | 1.42179e6i | −0.0741928 | + | 0.128506i | ||||
\(658\) | −1.08027e7 | − | 1.87108e7i | −0.972672 | − | 1.68472i | ||||
\(659\) | 1.32420e6 | + | 7.50988e6i | 0.118779 | + | 0.673627i | 0.984810 | + | 0.173637i | \(0.0555520\pi\) |
−0.866031 | + | 0.499990i | \(0.833337\pi\) | |||||||
\(660\) | −7.92437e6 | − | 6.64934e6i | −0.708117 | − | 0.594181i | ||||
\(661\) | 8.50773e6 | − | 7.13883e6i | 0.757373 | − | 0.635512i | −0.180068 | − | 0.983654i | \(-0.557632\pi\) |
0.937442 | + | 0.348142i | \(0.113187\pi\) | |||||||
\(662\) | −464036. | + | 2.63168e6i | −0.0411535 | + | 0.233393i | ||||
\(663\) | 9.36552e6 | − | 3.40877e6i | 0.827462 | − | 0.301171i | ||||
\(664\) | −6.46361e6 | −0.568925 | ||||||||
\(665\) | −1.65147e7 | + | 1.74781e7i | −1.44816 | + | 1.53264i | ||||
\(666\) | 1.42677e7 | 1.24644 | ||||||||
\(667\) | 6.38678e6 | − | 2.32460e6i | 0.555863 | − | 0.202317i | ||||
\(668\) | −687711. | + | 3.90020e6i | −0.0596300 | + | 0.338179i | ||||
\(669\) | 2.08567e7 | − | 1.75008e7i | 1.80169 | − | 1.51180i | ||||
\(670\) | 5.41429e6 | + | 4.54312e6i | 0.465966 | + | 0.390992i | ||||
\(671\) | 998279. | + | 5.66152e6i | 0.0855945 | + | 0.485431i | ||||
\(672\) | −2.22369e6 | − | 3.85154e6i | −0.189955 | − | 0.329012i | ||||
\(673\) | 2.26053e6 | − | 3.91535e6i | 0.192386 | − | 0.333222i | −0.753655 | − | 0.657271i | \(-0.771711\pi\) |
0.946040 | + | 0.324049i | \(0.105044\pi\) | |||||||
\(674\) | 1.05125e7 | + | 3.82624e6i | 0.891367 | + | 0.324431i | ||||
\(675\) | −1.84374e6 | − | 671066.i | −0.155754 | − | 0.0566899i | ||||
\(676\) | 1.39481e6 | − | 2.41588e6i | 0.117394 | − | 0.203333i | ||||
\(677\) | 6.60207e6 | + | 1.14351e7i | 0.553616 | + | 0.958891i | 0.998010 | + | 0.0630593i | \(0.0200857\pi\) |
−0.444394 | + | 0.895831i | \(0.646581\pi\) | |||||||
\(678\) | 55594.8 | + | 315294.i | 0.00464472 | + | 0.0263415i | ||||
\(679\) | −1.20146e7 | − | 1.00815e7i | −1.00008 | − | 0.839169i | ||||
\(680\) | 3.87409e6 | − | 3.25074e6i | 0.321290 | − | 0.269594i | ||||
\(681\) | 679182. | − | 3.85183e6i | 0.0561201 | − | 0.318273i | ||||
\(682\) | −8.82266e6 | + | 3.21119e6i | −0.726338 | + | 0.264365i | ||||
\(683\) | 889471. | 0.0729592 | 0.0364796 | − | 0.999334i | \(-0.488386\pi\) | ||||
0.0364796 | + | 0.999334i | \(0.488386\pi\) | |||||||
\(684\) | 6.61020e6 | + | 1.57192e6i | 0.540224 | + | 0.128466i | ||||
\(685\) | −2.71178e6 | −0.220815 | ||||||||
\(686\) | −2.28150e6 | + | 830399.i | −0.185102 | + | 0.0673715i | ||||
\(687\) | 418000. | − | 2.37059e6i | 0.0337897 | − | 0.191631i | ||||
\(688\) | 2.21150e6 | − | 1.85567e6i | 0.178121 | − | 0.149462i | ||||
\(689\) | −1.04131e7 | − | 8.73761e6i | −0.835663 | − | 0.701205i | ||||
\(690\) | 1.67842e6 | + | 9.51880e6i | 0.134208 | + | 0.761131i | ||||
\(691\) | 7.96522e6 | + | 1.37962e7i | 0.634604 | + | 1.09917i | 0.986599 | + | 0.163164i | \(0.0521700\pi\) |
−0.351995 | + | 0.936002i | \(0.614497\pi\) | |||||||
\(692\) | 883966. | − | 1.53107e6i | 0.0701731 | − | 0.121543i | ||||
\(693\) | 1.74247e7 | + | 6.34208e6i | 1.37827 | + | 0.501648i | ||||
\(694\) | −5.52489e6 | − | 2.01090e6i | −0.435437 | − | 0.158486i | ||||
\(695\) | −2.23890e6 | + | 3.87790e6i | −0.175822 | + | 0.304533i | ||||
\(696\) | 3.67829e6 | + | 6.37098e6i | 0.287821 | + | 0.498520i | ||||
\(697\) | −1.70198e6 | − | 9.65239e6i | −0.132700 | − | 0.752580i | ||||
\(698\) | 9.00681e6 | + | 7.55761e6i | 0.699733 | + | 0.587146i | ||||
\(699\) | 8.78191e6 | − | 7.36890e6i | 0.679823 | − | 0.570440i | ||||
\(700\) | 1.71800e6 | − | 9.74327e6i | 0.132519 | − | 0.751553i | ||||
\(701\) | 1.55619e7 | − | 5.66407e6i | 1.19610 | − | 0.435345i | 0.334239 | − | 0.942488i | \(-0.391521\pi\) |
0.861862 | + | 0.507143i | \(0.169298\pi\) | |||||||
\(702\) | −1.08021e6 | −0.0827308 | ||||||||
\(703\) | −1.73679e7 | − | 1.14419e7i | −1.32544 | − | 0.873190i | ||||
\(704\) | −1.46752e6 | −0.111597 | ||||||||
\(705\) | −4.77588e7 | + | 1.73828e7i | −3.61893 | + | 1.31718i | ||||
\(706\) | −1.69533e6 | + | 9.61469e6i | −0.128009 | + | 0.725978i | ||||
\(707\) | −1.77279e7 | + | 1.48755e7i | −1.33385 | + | 1.11924i | ||||
\(708\) | −1.14198e7 | − | 9.58239e6i | −0.856204 | − | 0.718440i | ||||
\(709\) | −2.15488e6 | − | 1.22209e7i | −0.160993 | − | 0.913039i | −0.953100 | − | 0.302656i | \(-0.902127\pi\) |
0.792106 | − | 0.610383i | \(-0.208984\pi\) | |||||||
\(710\) | −2.64210e6 | − | 4.57626e6i | −0.196700 | − | 0.340694i | ||||
\(711\) | 1.22174e7 | − | 2.11612e7i | 0.906370 | − | 1.56988i | ||||
\(712\) | −6.61201e6 | − | 2.40658e6i | −0.488803 | − | 0.177910i | ||||
\(713\) | 8.24365e6 | + | 3.00044e6i | 0.607290 | + | 0.221035i | ||||
\(714\) | −8.61404e6 | + | 1.49200e7i | −0.632355 | + | 1.09527i | ||||
\(715\) | −6.33470e6 | − | 1.09720e7i | −0.463405 | − | 0.802642i | ||||
\(716\) | −606046. | − | 3.43706e6i | −0.0441798 | − | 0.250556i | ||||
\(717\) | −1.32343e7 | − | 1.11049e7i | −0.961398 | − | 0.806709i | ||||
\(718\) | 1.67919e6 | − | 1.40900e6i | 0.121559 | − | 0.102000i | ||||
\(719\) | −3.65442e6 | + | 2.07253e7i | −0.263631 | + | 1.49513i | 0.509273 | + | 0.860605i | \(0.329914\pi\) |
−0.772905 | + | 0.634522i | \(0.781197\pi\) | |||||||
\(720\) | −5.17301e6 | + | 1.88282e6i | −0.371888 | + | 0.135356i | ||||
\(721\) | 1.19041e7 | 0.852823 | ||||||||
\(722\) | −6.78592e6 | − | 7.21445e6i | −0.484469 | − | 0.515063i | ||||
\(723\) | 5.12422e6 | 0.364571 | ||||||||
\(724\) | −4.46353e6 | + | 1.62459e6i | −0.316470 | + | 0.115186i | ||||
\(725\) | −2.84181e6 | + | 1.61167e7i | −0.200794 | + | 1.13876i | ||||
\(726\) | −2.26814e6 | + | 1.90319e6i | −0.159708 | + | 0.134011i | ||||
\(727\) | 1.08347e7 | + | 9.09143e6i | 0.760296 | + | 0.637964i | 0.938204 | − | 0.346083i | \(-0.112488\pi\) |
−0.177908 | + | 0.984047i | \(0.556933\pi\) | |||||||
\(728\) | −945844. | − | 5.36415e6i | −0.0661441 | − | 0.375122i | ||||
\(729\) | 8.66371e6 | + | 1.50060e7i | 0.603789 | + | 1.04579i | ||||
\(730\) | −969487. | + | 1.67920e6i | −0.0673341 | + | 0.116626i | ||||
\(731\) | −1.05088e7 | − | 3.82488e6i | −0.727375 | − | 0.264743i | ||||
\(732\) | 5.46345e6 | + | 1.98853e6i | 0.376868 | + | 0.137169i | ||||
\(733\) | −7.31253e6 | + | 1.26657e7i | −0.502699 | + | 0.870700i | 0.497296 | + | 0.867581i | \(0.334326\pi\) |
−0.999995 | + | 0.00311931i | \(0.999007\pi\) | |||||||
\(734\) | −7.22239e6 | − | 1.25095e7i | −0.494813 | − | 0.857041i | ||||
\(735\) | 6.25833e6 | + | 3.54927e7i | 0.427307 | + | 2.42338i | ||||
\(736\) | 1.05041e6 | + | 881398.i | 0.0714766 | + | 0.0599760i | ||||
\(737\) | −6.08616e6 | + | 5.10690e6i | −0.412738 | + | 0.346329i | ||||
\(738\) | −1.85266e6 | + | 1.05070e7i | −0.125215 | + | 0.710128i | ||||
\(739\) | 2.73895e7 | − | 9.96895e6i | 1.84490 | − | 0.671488i | 0.857228 | − | 0.514937i | \(-0.172185\pi\) |
0.987670 | − | 0.156551i | \(-0.0500376\pi\) | |||||||
\(740\) | 1.68509e7 | 1.13121 | ||||||||
\(741\) | 1.32063e7 | + | 8.70022e6i | 0.883560 | + | 0.582082i | ||||
\(742\) | 2.34972e7 | 1.56677 | ||||||||
\(743\) | 1.62030e7 | − | 5.89742e6i | 1.07677 | − | 0.391913i | 0.258067 | − | 0.966127i | \(-0.416914\pi\) |
0.818706 | + | 0.574214i | \(0.194692\pi\) | |||||||
\(744\) | −1.64886e6 | + | 9.35114e6i | −0.109207 | + | 0.619344i | ||||
\(745\) | 2.35888e6 | − | 1.97934e6i | 0.155710 | − | 0.130656i | ||||
\(746\) | −1.53864e6 | − | 1.29108e6i | −0.101226 | − | 0.0849385i | ||||
\(747\) | −4.73283e6 | − | 2.68412e7i | −0.310327 | − | 1.75995i | ||||
\(748\) | 2.84242e6 | + | 4.92321e6i | 0.185752 | + | 0.321732i | ||||
\(749\) | −1.67063e6 | + | 2.89362e6i | −0.108812 | + | 0.188467i | ||||
\(750\) | −673419. | − | 245105.i | −0.0437152 | − | 0.0159110i | ||||
\(751\) | −3.37866e6 | − | 1.22973e6i | −0.218597 | − | 0.0795629i | 0.230400 | − | 0.973096i | \(-0.425997\pi\) |
−0.448997 | + | 0.893533i | \(0.648219\pi\) | |||||||
\(752\) | −3.60505e6 | + | 6.24413e6i | −0.232470 | + | 0.402649i | ||||
\(753\) | 1.21957e7 | + | 2.11235e7i | 0.783823 | + | 1.35762i | ||||
\(754\) | 1.56456e6 | + | 8.87304e6i | 0.100222 | + | 0.568387i | ||||
\(755\) | −1.08079e7 | − | 9.06889e6i | −0.690038 | − | 0.579011i | ||||
\(756\) | 1.43039e6 | − | 1.20024e6i | 0.0910228 | − | 0.0763772i | ||||
\(757\) | 2.48695e6 | − | 1.41042e7i | 0.157735 | − | 0.894558i | −0.798508 | − | 0.601984i | \(-0.794377\pi\) |
0.956243 | − | 0.292574i | \(-0.0945119\pi\) | |||||||
\(758\) | −904238. | + | 329116.i | −0.0571623 | + | 0.0208054i | ||||
\(759\) | −1.08651e7 | −0.684587 | ||||||||
\(760\) | 7.80695e6 | + | 1.85651e6i | 0.490284 | + | 0.116590i | ||||
\(761\) | 2.54776e7 | 1.59477 | 0.797384 | − | 0.603473i | \(-0.206217\pi\) | ||||
0.797384 | + | 0.603473i | \(0.206217\pi\) | |||||||
\(762\) | 1.94820e7 | − | 7.09088e6i | 1.21548 | − | 0.442398i | ||||
\(763\) | −2.89837e6 | + | 1.64375e7i | −0.180237 | + | 1.02217i | ||||
\(764\) | 1.33273e6 | − | 1.11829e6i | 0.0826055 | − | 0.0693142i | ||||
\(765\) | 1.63360e7 | + | 1.37075e7i | 1.00923 | + | 0.846846i | ||||
\(766\) | 1.79170e6 | + | 1.01612e7i | 0.110330 | + | 0.625711i | ||||
\(767\) | −9.12896e6 | − | 1.58118e7i | −0.560316 | − | 0.970496i | ||||
\(768\) | −742085. | + | 1.28533e6i | −0.0453995 | + | 0.0786342i | ||||
\(769\) | −1.73487e7 | − | 6.31441e6i | −1.05792 | − | 0.385050i | −0.246271 | − | 0.969201i | \(-0.579205\pi\) |
−0.811645 | + | 0.584151i | \(0.801427\pi\) | |||||||
\(770\) | 2.05794e7 | + | 7.49029e6i | 1.25085 | + | 0.455273i | ||||
\(771\) | −5.26325e6 | + | 9.11622e6i | −0.318873 | + | 0.552305i | ||||
\(772\) | −3.46856e6 | − | 6.00772e6i | −0.209462 | − | 0.362799i | ||||
\(773\) | −2.35253e6 | − | 1.33418e7i | −0.141607 | − | 0.803095i | −0.970029 | − | 0.242990i | \(-0.921872\pi\) |
0.828421 | − | 0.560105i | \(-0.189239\pi\) | |||||||
\(774\) | 9.32530e6 | + | 7.82485e6i | 0.559513 | + | 0.469487i | ||||
\(775\) | −1.61814e7 | + | 1.35778e7i | −0.967747 | + | 0.812037i | ||||
\(776\) | −908880. | + | 5.15451e6i | −0.0541816 | + | 0.307279i | ||||
\(777\) | −5.39423e7 | + | 1.96334e7i | −3.20536 | + | 1.16666i | ||||
\(778\) | 1.05319e6 | 0.0623816 | ||||||||
\(779\) | 1.06812e7 | − | 1.13043e7i | 0.630631 | − | 0.667419i | ||||
\(780\) | −1.28131e7 | −0.754083 | ||||||||
\(781\) | 5.58172e6 | − | 2.03158e6i | 0.327447 | − | 0.119181i | ||||
\(782\) | 922376. | − | 5.23105e6i | 0.0539375 | − | 0.305895i | ||||
\(783\) | −2.36606e6 | + | 1.98536e6i | −0.137918 | + | 0.115727i | ||||
\(784\) | 3.91666e6 | + | 3.28647e6i | 0.227576 | + | 0.190959i | ||||
\(785\) | 472886. | + | 2.68187e6i | 0.0273894 | + | 0.155333i | ||||
\(786\) | −991277. | − | 1.71694e6i | −0.0572320 | − | 0.0991287i | ||||
\(787\) | −7.90871e6 | + | 1.36983e7i | −0.455165 | + | 0.788369i | −0.998698 | − | 0.0510189i | \(-0.983753\pi\) |
0.543532 | + | 0.839388i | \(0.317086\pi\) | |||||||
\(788\) | 3.43191e6 | + | 1.24911e6i | 0.196889 | + | 0.0716616i | ||||
\(789\) | −3.14380e7 | − | 1.14425e7i | −1.79789 | − | 0.654377i | ||||
\(790\) | 1.44293e7 | − | 2.49924e7i | 0.822581 | − | 1.42475i | ||||
\(791\) | −338899. | − | 586990.i | −0.0192588 | − | 0.0333572i | ||||
\(792\) | −1.07456e6 | − | 6.09413e6i | −0.0608720 | − | 0.345222i | ||||
\(793\) | 5.45482e6 | + | 4.57714e6i | 0.308033 | + | 0.258471i | ||||
\(794\) | 9.45879e6 | − | 7.93687e6i | 0.532457 | − | 0.446784i | ||||
\(795\) | 9.59826e6 | − | 5.44344e7i | 0.538610 | − | 3.05461i | ||||
\(796\) | −1.37544e7 | + | 5.00619e6i | −0.769412 | + | 0.280043i | ||||
\(797\) | −1.51049e7 | −0.842312 | −0.421156 | − | 0.906988i | \(-0.638375\pi\) | ||||
−0.421156 | + | 0.906988i | \(0.638375\pi\) | |||||||
\(798\) | −2.71544e7 | + | 3.15311e6i | −1.50950 | + | 0.175280i | ||||
\(799\) | 2.79302e7 | 1.54777 | ||||||||
\(800\) | −3.10255e6 | + | 1.12924e6i | −0.171393 | + | 0.0623821i | ||||
\(801\) | 5.15221e6 | − | 2.92196e7i | 0.283735 | − | 1.60914i | ||||
\(802\) | −5.11897e6 | + | 4.29533e6i | −0.281026 | + | 0.235809i | ||||
\(803\) | −1.66966e6 | − | 1.40101e6i | −0.0913775 | − | 0.0766749i | ||||
\(804\) | 1.39527e6 | + | 7.91298e6i | 0.0761235 | + | 0.431718i | ||||
\(805\) | −1.02314e7 | − | 1.77214e7i | −0.556477 | − | 0.963847i | ||||
\(806\) | −5.81471e6 | + | 1.00714e7i | −0.315276 | + | 0.546074i | ||||
\(807\) | 1.32031e7 | + | 4.80552e6i | 0.713659 | + | 0.259751i | ||||
\(808\) | 7.25719e6 | + | 2.64140e6i | 0.391057 | + | 0.142333i | ||||
\(809\) | −5.08404e6 | + | 8.80581e6i | −0.273110 | + | 0.473040i | −0.969656 | − | 0.244471i | \(-0.921386\pi\) |
0.696547 | + | 0.717511i | \(0.254719\pi\) | |||||||
\(810\) | 8.25469e6 | + | 1.42975e7i | 0.442067 | + | 0.765682i | ||||
\(811\) | −3.75968e6 | − | 2.13222e7i | −0.200724 | − | 1.13836i | −0.904029 | − | 0.427472i | \(-0.859404\pi\) |
0.703305 | − | 0.710888i | \(-0.251707\pi\) | |||||||
\(812\) | −1.19307e7 | − | 1.00110e7i | −0.635003 | − | 0.532830i | ||||
\(813\) | −2.62467e7 | + | 2.20236e7i | −1.39267 | + | 1.16859i | ||||
\(814\) | −3.28923e6 | + | 1.86542e7i | −0.173994 | + | 0.986768i | ||||
\(815\) | 1.13256e7 | − | 4.12218e6i | 0.597265 | − | 0.217387i | ||||
\(816\) | 5.74932e6 | 0.302267 | ||||||||
\(817\) | −5.07650e6 | − | 1.70034e7i | −0.266078 | − | 0.891211i | ||||
\(818\) | −2.44496e7 | −1.27758 | ||||||||
\(819\) | 2.15829e7 | − | 7.85555e6i | 1.12435 | − | 0.409229i | ||||
\(820\) | −2.18808e6 | + | 1.24092e7i | −0.113639 | + | 0.644480i | ||||
\(821\) | −1.05032e6 | + | 881322.i | −0.0543830 | + | 0.0456328i | −0.669574 | − | 0.742745i | \(-0.733523\pi\) |
0.615191 | + | 0.788378i | \(0.289079\pi\) | |||||||
\(822\) | −2.36162e6 | − | 1.98164e6i | −0.121908 | − | 0.102293i | ||||
\(823\) | 4.72847e6 | + | 2.68165e7i | 0.243344 | + | 1.38007i | 0.824306 | + | 0.566144i | \(0.191565\pi\) |
−0.580962 | + | 0.813931i | \(0.697323\pi\) | |||||||
\(824\) | −1.98631e6 | − | 3.44039e6i | −0.101913 | − | 0.176518i | ||||
\(825\) | 1.30807e7 | − | 2.26565e7i | 0.669109 | − | 1.15893i | ||||
\(826\) | 2.96571e7 | + | 1.07943e7i | 1.51244 | + | 0.550483i | ||||
\(827\) | 1.53791e7 | + | 5.59755e6i | 0.781931 | + | 0.284600i | 0.701978 | − | 0.712199i | \(-0.252301\pi\) |
0.0799533 | + | 0.996799i | \(0.474523\pi\) | |||||||
\(828\) | −2.89101e6 | + | 5.00738e6i | −0.146546 | + | 0.253825i | ||||
\(829\) | −2.41153e6 | − | 4.17688e6i | −0.121872 | − | 0.211089i | 0.798634 | − | 0.601818i | \(-0.205557\pi\) |
−0.920506 | + | 0.390728i | \(0.872223\pi\) | |||||||
\(830\) | −5.58969e6 | − | 3.17007e7i | −0.281639 | − | 1.59725i | ||||
\(831\) | 3.88568e7 | + | 3.26048e7i | 1.95193 | + | 1.63787i | ||||
\(832\) | −1.39246e6 | + | 1.16841e6i | −0.0697389 | + | 0.0585178i | ||||
\(833\) | 3.43926e6 | − | 1.95050e7i | 0.171732 | − | 0.973943i | ||||
\(834\) | −4.78358e6 | + | 1.74108e6i | −0.238143 | + | 0.0866770i | ||||
\(835\) | −1.97232e7 | −0.978953 | ||||||||
\(836\) | −3.57907e6 | + | 8.28003e6i | −0.177115 | + | 0.409747i | ||||
\(837\) | −3.98667e6 | −0.196696 | ||||||||
\(838\) | −4.12101e6 | + | 1.49993e6i | −0.202719 | + | 0.0737836i | ||||
\(839\) | 1.72850e6 | − | 9.80281e6i | 0.0847743 | − | 0.480779i | −0.912631 | − | 0.408785i | \(-0.865953\pi\) |
0.997405 | − | 0.0719941i | \(-0.0229363\pi\) | |||||||
\(840\) | 1.69668e7 | − | 1.42368e7i | 0.829663 | − | 0.696170i | ||||
\(841\) | 4.02255e6 | + | 3.37532e6i | 0.196115 | + | 0.164560i | ||||
\(842\) | −3.76698e6 | − | 2.13636e7i | −0.183111 | − | 1.03847i | ||||
\(843\) | 4.75331e6 | + | 8.23297e6i | 0.230371 | + | 0.399014i | ||||
\(844\) | −3.19903e6 | + | 5.54088e6i | −0.154583 | + | 0.267746i | ||||
\(845\) | 1.30549e7 | + | 4.75158e6i | 0.628971 | + | 0.228927i | ||||
\(846\) | −2.85695e7 | − | 1.03984e7i | −1.37239 | − | 0.499508i | ||||
\(847\) | 3.13416e6 | − | 5.42853e6i | 0.150111 | − | 0.260000i | ||||
\(848\) | −3.92072e6 | − | 6.79089e6i | −0.187230 | − | 0.324293i | ||||
\(849\) | −4.79282e6 | − | 2.71814e7i | −0.228203 | − | 1.29420i | ||||
\(850\) | 9.79761e6 | + | 8.22117e6i | 0.465128 | + | 0.390289i | ||||
\(851\) | 1.35581e7 | − | 1.13766e7i | 0.641763 | − | 0.538503i | ||||
\(852\) | 1.04316e6 | − | 5.91606e6i | 0.0492326 | − | 0.279212i | ||||
\(853\) | −1.62368e7 | + | 5.90970e6i | −0.764059 | + | 0.278095i | −0.694509 | − | 0.719484i | \(-0.744378\pi\) |
−0.0695497 | + | 0.997578i | \(0.522156\pi\) | |||||||
\(854\) | −1.23088e7 | −0.577527 | ||||||||
\(855\) | −1.99300e6 | + | 3.37790e7i | −0.0932377 | + | 1.58027i | ||||
\(856\) | 1.11504e6 | 0.0520123 | ||||||||
\(857\) | −6.61420e6 | + | 2.40737e6i | −0.307627 | + | 0.111967i | −0.491221 | − | 0.871035i | \(-0.663449\pi\) |
0.183593 | + | 0.983002i | \(0.441227\pi\) | |||||||
\(858\) | 2.50108e6 | − | 1.41843e7i | 0.115987 | − | 0.657796i | ||||
\(859\) | −1.71244e7 | + | 1.43691e7i | −0.791832 | + | 0.664426i | −0.946198 | − | 0.323588i | \(-0.895111\pi\) |
0.154366 | + | 0.988014i | \(0.450667\pi\) | |||||||
\(860\) | 1.10136e7 | + | 9.24151e6i | 0.507789 | + | 0.426086i | ||||
\(861\) | −7.45392e6 | − | 4.22733e7i | −0.342670 | − | 1.94338i | ||||
\(862\) | 1.09224e7 | + | 1.89182e7i | 0.500670 | + | 0.867186i | ||||
\(863\) | 2.63636e6 | − | 4.56632e6i | 0.120498 | − | 0.208708i | −0.799466 | − | 0.600711i | \(-0.794884\pi\) |
0.919964 | + | 0.392003i | \(0.128218\pi\) | |||||||
\(864\) | −585553. | − | 213124.i | −0.0266859 | − | 0.00971288i | ||||
\(865\) | 8.27359e6 | + | 3.01134e6i | 0.375970 | + | 0.136842i | ||||
\(866\) | 1.03730e7 | − | 1.79666e7i | 0.470013 | − | 0.814086i | ||||
\(867\) | 4.94174e6 | + | 8.55935e6i | 0.223271 | + | 0.386717i | ||||
\(868\) | −3.49076e6 | − | 1.97971e7i | −0.157261 | − | 0.891870i | ||||
\(869\) | 2.48504e7 | + | 2.08519e7i | 1.11631 | + | 0.936692i | ||||
\(870\) | −2.80654e7 | + | 2.35497e7i | −1.25711 | + | 1.05484i | ||||
\(871\) | −1.70885e6 | + | 9.69138e6i | −0.0763236 | + | 0.432853i | ||||
\(872\) | 5.23419e6 | − | 1.90509e6i | 0.233109 | − | 0.0848446i | ||||
\(873\) | −2.20705e7 | −0.980113 | ||||||||
\(874\) | 7.53481e6 | − | 3.77700e6i | 0.333652 | − | 0.167251i | ||||
\(875\) | 1.51718e6 | 0.0669909 | ||||||||
\(876\) | −2.07138e6 | + | 753920.i | −0.0912009 | + | 0.0331944i | ||||
\(877\) | 984163. | − | 5.58147e6i | 0.0432084 | − | 0.245047i | −0.955552 | − | 0.294823i | \(-0.904739\pi\) |
0.998760 | + | 0.0497755i | \(0.0158506\pi\) | |||||||
\(878\) | −1.31465e6 | + | 1.10313e6i | −0.0575539 | + | 0.0482935i | ||||
\(879\) | 1.23887e7 | + | 1.03953e7i | 0.540820 | + | 0.453802i | ||||
\(880\) | −1.26910e6 | − | 7.19745e6i | −0.0552447 | − | 0.313308i | ||||
\(881\) | −6.10318e6 | − | 1.05710e7i | −0.264921 | − | 0.458856i | 0.702622 | − | 0.711563i | \(-0.252013\pi\) |
−0.967543 | + | 0.252707i | \(0.918679\pi\) | |||||||
\(882\) | −1.07797e7 | + | 1.86710e7i | −0.466590 | + | 0.808158i | ||||
\(883\) | −3.24836e7 | − | 1.18231e7i | −1.40205 | − | 0.510303i | −0.473262 | − | 0.880922i | \(-0.656923\pi\) |
−0.928785 | + | 0.370619i | \(0.879146\pi\) | |||||||
\(884\) | 6.61680e6 | + | 2.40832e6i | 0.284785 | + | 0.103653i | ||||
\(885\) | 3.71209e7 | − | 6.42953e7i | 1.59316 | − | 2.75944i | ||||
\(886\) | −6.99476e6 | − | 1.21153e7i | −0.299356 | − | 0.518501i | ||||
\(887\) | 4.05273e6 | + | 2.29842e7i | 0.172957 | + | 0.980889i | 0.940475 | + | 0.339862i | \(0.110380\pi\) |
−0.767518 | + | 0.641027i | \(0.778509\pi\) | |||||||
\(888\) | 1.46750e7 | + | 1.23138e7i | 0.624519 | + | 0.524033i | ||||
\(889\) | −3.36232e7 | + | 2.82132e7i | −1.42687 | + | 1.19729i | ||||
\(890\) | 6.08500e6 | − | 3.45097e7i | 0.257505 | − | 1.46038i | ||||
\(891\) | −1.74389e7 | + | 6.34723e6i | −0.735909 | + | 0.267849i | ||||
\(892\) | 1.92356e7 | 0.809459 | ||||||||
\(893\) | 2.64383e7 | + | 3.55689e7i | 1.10944 | + | 1.49259i | ||||
\(894\) | 3.50070e6 | 0.146491 | ||||||||
\(895\) | 1.63329e7 | − | 5.94470e6i | 0.681563 | − | 0.248069i | ||||
\(896\) | 545620. | − | 3.09436e6i | 0.0227049 | − | 0.128766i | ||||
\(897\) | −1.03094e7 | + | 8.65058e6i | −0.427810 | + | 0.358975i | ||||
\(898\) | −8.78419e6 | − | 7.37081e6i | −0.363505 | − | 0.305017i | ||||
\(899\) | 5.77419e6 | + | 3.27471e7i | 0.238282 | + | 1.35137i | ||||
\(900\) | −6.96111e6 | − | 1.20570e7i | −0.286466 | − | 0.496173i | ||||
\(901\) | −1.51879e7 | + | 2.63063e7i | −0.623285 | + | 1.07956i | ||||
\(902\) | −1.33101e7 | − | 4.84448e6i | −0.544709 | − | 0.198258i | ||||
\(903\) | −4.60238e7 | − | 1.67513e7i | −1.87829 | − | 0.683643i | ||||
\(904\) | −113097. | + | 195889.i | −0.00460287 | + | 0.00797240i | ||||
\(905\) | −1.18278e7 | − | 2.04864e7i | −0.480047 | − | 0.831466i | ||||
\(906\) | −2.78521e6 | − | 1.57957e7i | −0.112730 | − | 0.639321i | ||||
\(907\) | −2.29209e6 | − | 1.92329e6i | −0.0925153 | − | 0.0776296i | 0.595357 | − | 0.803461i | \(-0.297011\pi\) |
−0.687872 | + | 0.725832i | \(0.741455\pi\) | |||||||
\(908\) | 2.11683e6 | − | 1.77623e6i | 0.0852062 | − | 0.0714965i | ||||
\(909\) | −5.65495e6 | + | 3.20708e7i | −0.226996 | + | 1.28736i | ||||
\(910\) | 2.54904e7 | − | 9.27776e6i | 1.02041 | − | 0.371398i | ||||
\(911\) | −9.95825e6 | −0.397546 | −0.198773 | − | 0.980046i | \(-0.563696\pi\) | ||||
−0.198773 | + | 0.980046i | \(0.563696\pi\) | |||||||
\(912\) | 5.44223e6 | + | 7.32172e6i | 0.216665 | + | 0.291491i | ||||
\(913\) | 3.61843e7 | 1.43662 | ||||||||
\(914\) | 2.36475e7 | − | 8.60700e6i | 0.936312 | − | 0.340790i | ||||
\(915\) | −5.02798e6 | + | 2.85151e7i | −0.198537 | + | 1.12596i | ||||
\(916\) | 1.30279e6 | − | 1.09317e6i | 0.0513023 | − | 0.0430478i | ||||
\(917\) | 3.21525e6 | + | 2.69792e6i | 0.126268 | + | 0.105951i | ||||
\(918\) | 419164. | + | 2.37720e6i | 0.0164164 | + | 0.0931018i | ||||
\(919\) | 2.79539e6 | + | 4.84176e6i | 0.109183 | + | 0.189110i | 0.915439 | − | 0.402456i | \(-0.131843\pi\) |
−0.806257 | + | 0.591566i | \(0.798510\pi\) | |||||||
\(920\) | −3.41442e6 | + | 5.91395e6i | −0.132999 | + | 0.230361i | ||||
\(921\) | −5.41699e6 | − | 1.97162e6i | −0.210431 | − | 0.0765905i | ||||
\(922\) | −1.68801e7 | − | 6.14387e6i | −0.653956 | − | 0.238021i | ||||
\(923\) | 3.67872e6 | − | 6.37173e6i | 0.142132 | − | 0.246180i | ||||
\(924\) | 1.24485e7 | + | 2.15615e7i | 0.479666 | + | 0.830805i | ||||
\(925\) | 7.40020e6 | + | 4.19686e7i | 0.284373 | + | 1.61276i | ||||
\(926\) | 1.85920e7 | + | 1.56005e7i | 0.712523 | + | 0.597878i | ||||
\(927\) | 1.28324e7 | − | 1.07676e7i | 0.490464 | − | 0.411548i | ||||
\(928\) | −902530. | + | 5.11850e6i | −0.0344026 | + | 0.195107i | ||||
\(929\) | −2.31640e7 | + | 8.43102e6i | −0.880592 | + | 0.320509i | −0.742449 | − | 0.669903i | \(-0.766336\pi\) |
−0.138144 | + | 0.990412i | \(0.544114\pi\) | |||||||
\(930\) | −4.72885e7 | −1.79287 | ||||||||
\(931\) | 2.80950e7 | − | 1.40833e7i | 1.06232 | − | 0.532513i | ||||
\(932\) | 8.09937e6 | 0.305430 | ||||||||
\(933\) | 5.09606e7 | − | 1.85481e7i | 1.91660 | − | 0.697584i | ||||
\(934\) | −4.78261e6 | + | 2.71235e7i | −0.179390 | + | 1.01737i | ||||
\(935\) | −2.16877e7 | + | 1.81982e7i | −0.811306 | + | 0.680767i | ||||
\(936\) | −5.87163e6 | − | 4.92688e6i | −0.219063 | − | 0.183816i | ||||
\(937\) | −5.46677e6 | − | 3.10036e7i | −0.203415 | − | 1.15362i | −0.899915 | − | 0.436065i | \(-0.856372\pi\) |
0.696501 | − | 0.717556i | \(-0.254739\pi\) | |||||||
\(938\) | −8.50540e6 | − | 1.47318e7i | −0.315637 | − | 0.546699i | ||||
\(939\) | −6.42402e6 | + | 1.11267e7i | −0.237762 | + | 0.411816i | ||||
\(940\) | −3.37419e7 | − | 1.22810e7i | −1.24552 | − | 0.453331i | ||||
\(941\) | 9.60376e6 | + | 3.49548e6i | 0.353563 | + | 0.128687i | 0.512695 | − | 0.858571i | \(-0.328647\pi\) |
−0.159132 | + | 0.987257i | \(0.550869\pi\) | |||||||
\(942\) | −1.54795e6 | + | 2.68113e6i | −0.0568369 | + | 0.0984445i | ||||
\(943\) | 6.61737e6 | + | 1.14616e7i | 0.242329 | + | 0.419727i | ||||
\(944\) | −1.82891e6 | − | 1.03723e7i | −0.0667979 | − | 0.378829i | ||||
\(945\) | 7.12356e6 | + | 5.97737e6i | 0.259488 | + | 0.217736i | ||||
\(946\) | −1.23803e7 | + | 1.03883e7i | −0.449784 | + | 0.377413i | ||||
\(947\) | 2.69198e6 | − | 1.52670e7i | 0.0975430 | − | 0.553194i | −0.896395 | − | 0.443255i | \(-0.853823\pi\) |
0.993938 | − | 0.109939i | \(-0.0350654\pi\) | |||||||
\(948\) | 3.08293e7 | − | 1.12210e7i | 1.11415 | − | 0.405517i | ||||
\(949\) | −2.69972e6 | −0.0973091 | ||||||||
\(950\) | −1.19531e6 | + | 2.02592e7i | −0.0429708 | + | 0.728305i | ||||
\(951\) | 2.66976e7 | 0.957239 | ||||||||
\(952\) | −1.14377e7 | + | 4.16298e6i | −0.409022 | + | 0.148872i | ||||
\(953\) | −6.21067e6 | + | 3.52225e7i | −0.221517 | + | 1.25628i | 0.647717 | + | 0.761881i | \(0.275724\pi\) |
−0.869233 | + | 0.494402i | \(0.835387\pi\) | |||||||
\(954\) | 2.53294e7 | − | 2.12539e7i | 0.901062 | − | 0.756081i | ||||
\(955\) | 6.63719e6 | + | 5.56927e6i | 0.235492 | + | 0.197601i | ||||
\(956\) | −2.11950e6 | − | 1.20203e7i | −0.0750048 | − | 0.425373i | ||||
\(957\) | −2.05916e7 | − | 3.56657e7i | −0.726792 | − | 1.25884i | ||||
\(958\) | −1.22293e7 | + | 2.11817e7i | −0.430514 | + | 0.745672i | ||||
\(959\) | 6.13308e6 | + | 2.23226e6i | 0.215344 | + | 0.0783787i | ||||
\(960\) | −6.94564e6 | − | 2.52800e6i | −0.243239 | − | 0.0885319i | ||||
\(961\) | −7.14536e6 | + | 1.23761e7i | −0.249583 | + | 0.432291i | ||||
\(962\) | 1.17311e7 | + | 2.03189e7i | 0.408697 | + | 0.707884i | ||||
\(963\) | 816462. | + | 4.63039e6i | 0.0283707 | + | 0.160898i | ||||
\(964\) | 2.77331e6 | + | 2.32708e6i | 0.0961182 | + | 0.0806527i | ||||
\(965\) | 2.64652e7 | − | 2.22070e7i | 0.914865 | − | 0.767663i | ||||
\(966\) | 4.03960e6 | − | 2.29097e7i | 0.139282 | − | 0.789909i | ||||
\(967\) | −1.17887e7 | + | 4.29074e6i | −0.405416 | + | 0.147559i | −0.536675 | − | 0.843789i | \(-0.680320\pi\) |
0.131260 | + | 0.991348i | \(0.458098\pi\) | |||||||
\(968\) | −2.09185e6 | −0.0717534 | ||||||||
\(969\) | 1.40218e7 | − | 3.24387e7i | 0.479726 | − | 1.10983i | ||||
\(970\) | −2.60662e7 | −0.889507 | ||||||||
\(971\) | −2.31568e7 | + | 8.42837e6i | −0.788188 | + | 0.286877i | −0.704583 | − | 0.709622i | \(-0.748866\pi\) |
−0.0836055 | + | 0.996499i | \(0.526644\pi\) | |||||||
\(972\) | −3.66998e6 | + | 2.08135e7i | −0.124594 | + | 0.706609i | ||||
\(973\) | 8.25576e6 | − | 6.92741e6i | 0.279560 | − | 0.234579i | ||||
\(974\) | −5.88750e6 | − | 4.94020e6i | −0.198854 | − | 0.166858i | ||||
\(975\) | −5.62699e6 | − | 3.19123e7i | −0.189568 | − | 1.07509i | ||||
\(976\) | 2.05384e6 | + | 3.55736e6i | 0.0690149 | + | 0.119537i | ||||
\(977\) | −1.85512e7 | + | 3.21316e7i | −0.621778 | + | 1.07695i | 0.367377 | + | 0.930072i | \(0.380256\pi\) |
−0.989155 | + | 0.146878i | \(0.953077\pi\) | |||||||
\(978\) | 1.28755e7 | + | 4.68629e6i | 0.430443 | + | 0.156669i | ||||
\(979\) | 3.70150e7 | + | 1.34724e7i | 1.23430 | + | 0.449249i | ||||
\(980\) | −1.27313e7 | + | 2.20513e7i | −0.423457 | + | 0.733448i | ||||
\(981\) | 1.17438e7 | + | 2.03409e7i | 0.389616 | + | 0.674835i | ||||
\(982\) | −2.97447e6 | − | 1.68691e7i | −0.0984308 | − | 0.558229i | ||||
\(983\) | −1.29751e7 | − | 1.08874e7i | −0.428279 | − | 0.359369i | 0.403023 | − | 0.915190i | \(-0.367960\pi\) |
−0.831302 | + | 0.555821i | \(0.812404\pi\) | |||||||
\(984\) | −1.09736e7 | + | 9.20792e6i | −0.361294 | + | 0.303161i | ||||
\(985\) | −3.15837e6 | + | 1.79120e7i | −0.103722 | + | 0.588239i | ||||
\(986\) | 1.89195e7 | − | 6.88615e6i | 0.619752 | − | 0.225571i | ||||
\(987\) | 1.22322e8 | 3.99680 | ||||||||
\(988\) | 3.19639e6 | + | 1.07061e7i | 0.104176 | + | 0.348931i | ||||
\(989\) | 1.51007e7 | 0.490916 | ||||||||
\(990\) | 2.89593e7 | − | 1.05403e7i | 0.939075 | − | 0.341795i | ||||
\(991\) | 635481. | − | 3.60399e6i | 0.0205550 | − | 0.116573i | −0.972804 | − | 0.231630i | \(-0.925594\pi\) |
0.993359 | + | 0.115057i | \(0.0367051\pi\) | |||||||
\(992\) | −5.13905e6 | + | 4.31218e6i | −0.165807 | + | 0.139129i | ||||
\(993\) | −1.15899e7 | − | 9.72508e6i | −0.372998 | − | 0.312982i | ||||
\(994\) | 2.20845e6 | + | 1.25248e7i | 0.0708960 | + | 0.402071i | ||||
\(995\) | −3.64475e7 | − | 6.31289e7i | −1.16711 | − | 2.02149i | ||||
\(996\) | 1.82974e7 | − | 3.16920e7i | 0.584441 | − | 1.01228i | ||||
\(997\) | −2.43780e7 | − | 8.87286e6i | −0.776712 | − | 0.282700i | −0.0769110 | − | 0.997038i | \(-0.524506\pi\) |
−0.699801 | + | 0.714338i | \(0.746728\pi\) | |||||||
\(998\) | −2.77084e7 | − | 1.00850e7i | −0.880613 | − | 0.320517i | ||||
\(999\) | −4.02152e6 | + | 6.96548e6i | −0.127490 | + | 0.220820i |
(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 | 38.6.e.b.5.4 | ✓ | 30 | |
19.2 | odd | 18 | 722.6.a.q.1.4 | 15 | |||
19.4 | even | 9 | inner | 38.6.e.b.23.4 | yes | 30 | |
19.17 | even | 9 | 722.6.a.r.1.12 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.6.e.b.5.4 | ✓ | 30 | 1.1 | even | 1 | trivial | |
38.6.e.b.23.4 | yes | 30 | 19.4 | even | 9 | inner | |
722.6.a.q.1.4 | 15 | 19.2 | odd | 18 | |||
722.6.a.r.1.12 | 15 | 19.17 | even | 9 |