Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.14 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50056 | − | 3.70787i | −0.375141 | − | 0.926968i | ||||
\(3\) | −3.32006 | + | 0.585416i | −0.368896 | + | 0.0650463i | −0.355023 | − | 0.934857i | \(-0.615527\pi\) |
−0.0138726 | + | 0.999904i | \(0.504416\pi\) | |||||||
\(4\) | −11.4966 | + | 11.1278i | −0.718539 | + | 0.695487i | ||||
\(5\) | 31.7438 | − | 26.6362i | 1.26975 | − | 1.06545i | 0.275181 | − | 0.961392i | \(-0.411262\pi\) |
0.994571 | − | 0.104056i | \(-0.0331822\pi\) | |||||||
\(6\) | 7.15261 | + | 11.4319i | 0.198684 | + | 0.317553i | ||||
\(7\) | 51.6354 | + | 29.8117i | 1.05378 | + | 0.608402i | 0.923706 | − | 0.383101i | \(-0.125144\pi\) |
0.130078 | + | 0.991504i | \(0.458477\pi\) | |||||||
\(8\) | 58.5118 | + | 25.9300i | 0.914247 | + | 0.405157i | ||||
\(9\) | −65.4350 | + | 23.8164i | −0.807840 | + | 0.294030i | ||||
\(10\) | −146.397 | − | 77.7326i | −1.46397 | − | 0.777326i | ||||
\(11\) | 66.2459 | − | 38.2471i | 0.547487 | − | 0.316092i | −0.200621 | − | 0.979669i | \(-0.564296\pi\) |
0.748108 | + | 0.663577i | \(0.230963\pi\) | |||||||
\(12\) | 31.6551 | − | 43.6753i | 0.219827 | − | 0.303300i | ||||
\(13\) | 47.6602 | − | 270.294i | 0.282013 | − | 1.59937i | −0.433752 | − | 0.901032i | \(-0.642811\pi\) |
0.715765 | − | 0.698341i | \(-0.246078\pi\) | |||||||
\(14\) | 33.0558 | − | 236.192i | 0.168652 | − | 1.20506i | ||||
\(15\) | −89.7981 | + | 107.017i | −0.399103 | + | 0.475632i | ||||
\(16\) | 8.34452 | − | 255.864i | 0.0325958 | − | 0.999469i | ||||
\(17\) | −219.584 | − | 79.9221i | −0.759807 | − | 0.276547i | −0.0670806 | − | 0.997748i | \(-0.521368\pi\) |
−0.692727 | + | 0.721200i | \(0.743591\pi\) | |||||||
\(18\) | 186.497 | + | 206.887i | 0.575610 | + | 0.638539i | ||||
\(19\) | 65.3930 | − | 355.028i | 0.181144 | − | 0.983457i | ||||
\(20\) | −68.5442 | + | 659.465i | −0.171361 | + | 1.64866i | ||||
\(21\) | −188.885 | − | 68.7485i | −0.428311 | − | 0.155892i | ||||
\(22\) | −241.221 | − | 188.239i | −0.498391 | − | 0.388924i | ||||
\(23\) | −424.356 | + | 505.727i | −0.802184 | + | 0.956006i | −0.999705 | − | 0.0242926i | \(-0.992267\pi\) |
0.197521 | + | 0.980299i | \(0.436711\pi\) | |||||||
\(24\) | −209.443 | − | 51.8355i | −0.363616 | − | 0.0899922i | ||||
\(25\) | 189.651 | − | 1075.56i | 0.303442 | − | 1.72090i | ||||
\(26\) | −1073.73 | + | 228.876i | −1.58836 | + | 0.338574i | ||||
\(27\) | 439.794 | − | 253.915i | 0.603285 | − | 0.348306i | ||||
\(28\) | −925.371 | + | 231.854i | −1.18032 | + | 0.295732i | ||||
\(29\) | 770.112 | − | 280.298i | 0.915709 | − | 0.333291i | 0.159179 | − | 0.987250i | \(-0.449115\pi\) |
0.756530 | + | 0.653959i | \(0.226893\pi\) | |||||||
\(30\) | 531.554 | + | 172.374i | 0.590615 | + | 0.191526i | ||||
\(31\) | 956.138 | + | 552.027i | 0.994941 | + | 0.574430i | 0.906748 | − | 0.421674i | \(-0.138557\pi\) |
0.0881936 | + | 0.996103i | \(0.471891\pi\) | |||||||
\(32\) | −961.232 | + | 353.000i | −0.938703 | + | 0.344726i | ||||
\(33\) | −197.550 | + | 165.764i | −0.181405 | + | 0.152217i | ||||
\(34\) | 33.1591 | + | 934.118i | 0.0286843 | + | 0.808061i | ||||
\(35\) | 2433.18 | − | 429.035i | 1.98627 | − | 0.350232i | ||||
\(36\) | 487.257 | − | 1001.96i | 0.375970 | − | 0.773113i | ||||
\(37\) | 1009.86 | 0.737662 | 0.368831 | − | 0.929497i | \(-0.379758\pi\) | ||||
0.368831 | + | 0.929497i | \(0.379758\pi\) | |||||||
\(38\) | −1414.52 | + | 290.273i | −0.979587 | + | 0.201020i | ||||
\(39\) | 925.294i | 0.608346i | ||||||||
\(40\) | 2548.07 | − | 735.416i | 1.59254 | − | 0.459635i | ||||
\(41\) | −198.738 | − | 1127.10i | −0.118226 | − | 0.670494i | −0.985102 | − | 0.171970i | \(-0.944987\pi\) |
0.866876 | − | 0.498524i | \(-0.166124\pi\) | |||||||
\(42\) | 28.5233 | + | 803.523i | 0.0161696 | + | 0.455512i | ||||
\(43\) | −1941.94 | − | 2314.31i | −1.05026 | − | 1.25166i | −0.966905 | − | 0.255135i | \(-0.917880\pi\) |
−0.0833580 | − | 0.996520i | \(-0.526564\pi\) | |||||||
\(44\) | −335.998 | + | 1176.88i | −0.173553 | + | 0.607894i | ||||
\(45\) | −1442.78 | + | 2498.96i | −0.712483 | + | 1.23406i | ||||
\(46\) | 2511.94 | + | 814.580i | 1.18712 | + | 0.384962i | ||||
\(47\) | 580.185 | + | 1594.05i | 0.262646 | + | 0.721615i | 0.998987 | + | 0.0450035i | \(0.0143299\pi\) |
−0.736341 | + | 0.676611i | \(0.763448\pi\) | |||||||
\(48\) | 122.083 | + | 854.369i | 0.0529873 | + | 0.370820i | ||||
\(49\) | 576.977 | + | 999.354i | 0.240307 | + | 0.416224i | ||||
\(50\) | −4272.64 | + | 910.751i | −1.70906 | + | 0.364301i | ||||
\(51\) | 775.821 | + | 136.798i | 0.298278 | + | 0.0525945i | ||||
\(52\) | 2459.85 | + | 3637.82i | 0.909706 | + | 1.34535i | ||||
\(53\) | 990.107 | + | 830.798i | 0.352477 | + | 0.295763i | 0.801784 | − | 0.597614i | \(-0.203885\pi\) |
−0.449307 | + | 0.893377i | \(0.648329\pi\) | |||||||
\(54\) | −1601.43 | − | 1249.68i | −0.549186 | − | 0.428561i | ||||
\(55\) | 1084.14 | − | 2978.65i | 0.358393 | − | 0.984677i | ||||
\(56\) | 2248.26 | + | 3083.25i | 0.716921 | + | 0.983178i | ||||
\(57\) | −9.26962 | + | 1217.00i | −0.00285307 | + | 0.374576i | ||||
\(58\) | −2194.91 | − | 2434.87i | −0.652470 | − | 0.723802i | ||||
\(59\) | −1220.87 | + | 3354.30i | −0.350723 | + | 0.963603i | 0.631416 | + | 0.775444i | \(0.282474\pi\) |
−0.982139 | + | 0.188158i | \(0.939748\pi\) | |||||||
\(60\) | −158.491 | − | 2229.59i | −0.0440252 | − | 0.619331i | ||||
\(61\) | −20.3696 | − | 17.0922i | −0.00547424 | − | 0.00459343i | 0.640046 | − | 0.768336i | \(-0.278915\pi\) |
−0.645521 | + | 0.763743i | \(0.723360\pi\) | |||||||
\(62\) | 612.098 | − | 4373.59i | 0.159235 | − | 1.13777i | ||||
\(63\) | −4088.77 | − | 720.961i | −1.03018 | − | 0.181648i | ||||
\(64\) | 2751.27 | + | 3034.43i | 0.671696 | + | 0.740827i | ||||
\(65\) | −5686.70 | − | 9849.65i | −1.34596 | − | 2.33128i | ||||
\(66\) | 911.068 | + | 483.750i | 0.209152 | + | 0.111054i | ||||
\(67\) | −746.531 | − | 2051.08i | −0.166302 | − | 0.456912i | 0.828348 | − | 0.560214i | \(-0.189281\pi\) |
−0.994650 | + | 0.103302i | \(0.967059\pi\) | |||||||
\(68\) | 3413.83 | − | 1524.65i | 0.738286 | − | 0.329726i | ||||
\(69\) | 1112.83 | − | 1927.47i | 0.233738 | − | 0.404846i | ||||
\(70\) | −5241.94 | − | 8378.11i | −1.06978 | − | 1.70982i | ||||
\(71\) | 3890.82 | + | 4636.90i | 0.771835 | + | 0.919837i | 0.998534 | − | 0.0541279i | \(-0.0172379\pi\) |
−0.226699 | + | 0.973965i | \(0.572793\pi\) | |||||||
\(72\) | −4446.28 | − | 303.191i | −0.857693 | − | 0.0584859i | ||||
\(73\) | 1670.93 | + | 9476.31i | 0.313554 | + | 1.77825i | 0.580215 | + | 0.814463i | \(0.302968\pi\) |
−0.266661 | + | 0.963790i | \(0.585920\pi\) | |||||||
\(74\) | −1515.36 | − | 3744.43i | −0.276727 | − | 0.683789i | ||||
\(75\) | 3681.97i | 0.654572i | ||||||||
\(76\) | 3198.88 | + | 4809.30i | 0.553822 | + | 0.832635i | ||||
\(77\) | 4560.84 | 0.769243 | ||||||||
\(78\) | 3430.87 | − | 1388.46i | 0.563917 | − | 0.228215i | ||||
\(79\) | −5574.82 | + | 982.992i | −0.893258 | + | 0.157506i | −0.601392 | − | 0.798954i | \(-0.705387\pi\) |
−0.291866 | + | 0.956459i | \(0.594276\pi\) | |||||||
\(80\) | −6550.36 | − | 8344.36i | −1.02349 | − | 1.30381i | ||||
\(81\) | 3009.29 | − | 2525.10i | 0.458664 | − | 0.384865i | ||||
\(82\) | −3880.93 | + | 2428.18i | −0.577175 | + | 0.361122i | ||||
\(83\) | −3635.44 | − | 2098.92i | −0.527716 | − | 0.304677i | 0.212370 | − | 0.977189i | \(-0.431882\pi\) |
−0.740086 | + | 0.672512i | \(0.765215\pi\) | |||||||
\(84\) | 2936.56 | − | 1311.50i | 0.416179 | − | 0.185870i | ||||
\(85\) | −9099.26 | + | 3311.86i | −1.25941 | + | 0.458389i | ||||
\(86\) | −5667.17 | + | 10673.2i | −0.766247 | + | 1.44311i | ||||
\(87\) | −2392.73 | + | 1381.44i | −0.316122 | + | 0.182513i | ||||
\(88\) | 4867.92 | − | 520.149i | 0.628605 | − | 0.0671680i | ||||
\(89\) | −47.9543 | + | 271.962i | −0.00605407 | + | 0.0343343i | −0.987685 | − | 0.156455i | \(-0.949994\pi\) |
0.981631 | + | 0.190789i | \(0.0611046\pi\) | |||||||
\(90\) | 11430.8 | + | 1599.78i | 1.41121 | + | 0.197504i | ||||
\(91\) | 10518.9 | − | 12535.9i | 1.27024 | − | 1.51382i | ||||
\(92\) | −748.973 | − | 10536.3i | −0.0884893 | − | 1.24484i | ||||
\(93\) | −3497.60 | − | 1273.02i | −0.404394 | − | 0.147187i | ||||
\(94\) | 5039.91 | − | 4543.22i | 0.570384 | − | 0.514172i | ||||
\(95\) | −7380.78 | − | 13011.8i | −0.817814 | − | 1.44175i | ||||
\(96\) | 2984.70 | − | 1734.70i | 0.323860 | − | 0.188227i | ||||
\(97\) | 12941.3 | + | 4710.26i | 1.37542 | + | 0.500612i | 0.920787 | − | 0.390067i | \(-0.127548\pi\) |
0.454633 | + | 0.890679i | \(0.349770\pi\) | |||||||
\(98\) | 2839.68 | − | 3638.95i | 0.295677 | − | 0.378899i | ||||
\(99\) | −3423.89 | + | 4080.44i | −0.349341 | + | 0.416329i | ||||
\(100\) | 9788.32 | + | 14475.8i | 0.978832 | + | 1.44758i | ||||
\(101\) | −604.527 | + | 3428.44i | −0.0592616 | + | 0.336089i | −0.999995 | − | 0.00305697i | \(-0.999027\pi\) |
0.940734 | + | 0.339146i | \(0.110138\pi\) | |||||||
\(102\) | −656.939 | − | 3081.92i | −0.0631429 | − | 0.296224i | ||||
\(103\) | −2251.42 | + | 1299.86i | −0.212218 | + | 0.122524i | −0.602342 | − | 0.798238i | \(-0.705766\pi\) |
0.390124 | + | 0.920762i | \(0.372432\pi\) | |||||||
\(104\) | 9797.42 | − | 14579.6i | 0.905826 | − | 1.34796i | ||||
\(105\) | −7827.13 | + | 2848.84i | −0.709944 | + | 0.258398i | ||||
\(106\) | 1594.77 | − | 4917.85i | 0.141934 | − | 0.437687i | ||||
\(107\) | −3448.72 | − | 1991.12i | −0.301224 | − | 0.173912i | 0.341768 | − | 0.939784i | \(-0.388974\pi\) |
−0.642993 | + | 0.765872i | \(0.722307\pi\) | |||||||
\(108\) | −2230.63 | + | 7813.11i | −0.191241 | + | 0.669848i | ||||
\(109\) | −1891.56 | + | 1587.20i | −0.159209 | + | 0.133592i | −0.718912 | − | 0.695101i | \(-0.755360\pi\) |
0.559703 | + | 0.828693i | \(0.310915\pi\) | |||||||
\(110\) | −12671.3 | + | 449.801i | −1.04721 | + | 0.0371737i | ||||
\(111\) | −3352.79 | + | 591.188i | −0.272120 | + | 0.0479821i | ||||
\(112\) | 8058.62 | − | 12962.9i | 0.642428 | − | 1.03339i | ||||
\(113\) | −5364.85 | −0.420146 | −0.210073 | − | 0.977686i | \(-0.567370\pi\) | ||||
−0.210073 | + | 0.977686i | \(0.567370\pi\) | |||||||
\(114\) | 4526.38 | − | 1791.81i | 0.348290 | − | 0.137874i | ||||
\(115\) | 27356.9i | 2.06858i | ||||||||
\(116\) | −5734.59 | + | 11792.1i | −0.426173 | + | 0.876346i | ||||
\(117\) | 3318.79 | + | 18821.8i | 0.242442 | + | 1.37496i | ||||
\(118\) | 14269.3 | − | 506.528i | 1.02480 | − | 0.0363781i | ||||
\(119\) | −8955.71 | − | 10673.0i | −0.632421 | − | 0.753689i | ||||
\(120\) | −8029.21 | + | 3933.31i | −0.557584 | + | 0.273146i | ||||
\(121\) | −4394.82 | + | 7612.05i | −0.300172 | + | 0.519914i | ||||
\(122\) | −32.8096 | + | 101.176i | −0.00220435 | + | 0.00679763i | ||||
\(123\) | 1319.65 | + | 3625.70i | 0.0872263 | + | 0.239652i | ||||
\(124\) | −17135.2 | + | 4293.27i | −1.11441 | + | 0.279219i | ||||
\(125\) | −9679.17 | − | 16764.8i | −0.619467 | − | 1.07295i | ||||
\(126\) | 3462.23 | + | 16242.5i | 0.218080 | + | 1.02308i | ||||
\(127\) | 25972.7 | + | 4579.69i | 1.61031 | + | 0.283941i | 0.905146 | − | 0.425101i | \(-0.139762\pi\) |
0.705166 | + | 0.709043i | \(0.250873\pi\) | |||||||
\(128\) | 7122.81 | − | 14754.7i | 0.434742 | − | 0.900555i | ||||
\(129\) | 7802.19 | + | 6546.81i | 0.468853 | + | 0.393415i | ||||
\(130\) | −27988.0 | + | 35865.6i | −1.65609 | + | 2.12222i | ||||
\(131\) | −9908.05 | + | 27222.2i | −0.577359 | + | 1.58628i | 0.215256 | + | 0.976558i | \(0.430941\pi\) |
−0.792615 | + | 0.609723i | \(0.791281\pi\) | |||||||
\(132\) | 426.568 | − | 4104.02i | 0.0244817 | − | 0.235538i | ||||
\(133\) | 13960.6 | − | 16382.5i | 0.789224 | − | 0.926142i | ||||
\(134\) | −6484.92 | + | 5845.82i | −0.361156 | + | 0.325563i | ||||
\(135\) | 7197.40 | − | 19774.7i | 0.394919 | − | 1.08503i | ||||
\(136\) | −10775.9 | − | 10370.2i | −0.582607 | − | 0.560673i | ||||
\(137\) | 5161.54 | + | 4331.04i | 0.275003 | + | 0.230755i | 0.769850 | − | 0.638225i | \(-0.220331\pi\) |
−0.494846 | + | 0.868981i | \(0.664776\pi\) | |||||||
\(138\) | −8816.68 | − | 1233.92i | −0.462964 | − | 0.0647932i | ||||
\(139\) | 3248.30 | + | 572.763i | 0.168123 | + | 0.0296446i | 0.257076 | − | 0.966391i | \(-0.417241\pi\) |
−0.0889531 | + | 0.996036i | \(0.528352\pi\) | |||||||
\(140\) | −23199.1 | + | 32008.3i | −1.18363 | + | 1.63308i | ||||
\(141\) | −2859.43 | − | 4952.68i | −0.143827 | − | 0.249116i | ||||
\(142\) | 11354.6 | − | 21384.6i | 0.563112 | − | 1.06053i | ||||
\(143\) | −7180.67 | − | 19728.7i | −0.351150 | − | 0.964778i | ||||
\(144\) | 5547.73 | + | 16941.2i | 0.267541 | + | 0.816994i | ||||
\(145\) | 16980.2 | − | 29410.6i | 0.807620 | − | 1.39884i | ||||
\(146\) | 32629.6 | − | 20415.4i | 1.53076 | − | 0.957750i | ||||
\(147\) | −2500.64 | − | 2980.14i | −0.115722 | − | 0.137912i | ||||
\(148\) | −11610.0 | + | 11237.5i | −0.530038 | + | 0.513034i | ||||
\(149\) | 2113.97 | + | 11988.9i | 0.0952195 | + | 0.540016i | 0.994680 | + | 0.103014i | \(0.0328487\pi\) |
−0.899460 | + | 0.437002i | \(0.856040\pi\) | |||||||
\(150\) | 13652.3 | − | 5525.02i | 0.606767 | − | 0.245557i | ||||
\(151\) | 1447.84i | 0.0634990i | 0.999496 | + | 0.0317495i | \(0.0101079\pi\) | ||||
−0.999496 | + | 0.0317495i | \(0.989892\pi\) | |||||||
\(152\) | 13032.1 | − | 19077.7i | 0.564064 | − | 0.825731i | ||||
\(153\) | 16272.0 | 0.695115 | ||||||||
\(154\) | −6843.84 | − | 16911.0i | −0.288575 | − | 0.713064i | ||||
\(155\) | 45055.4 | − | 7944.48i | 1.87535 | − | 0.330676i | ||||
\(156\) | −10296.5 | − | 10637.8i | −0.423097 | − | 0.437120i | ||||
\(157\) | 2870.46 | − | 2408.60i | 0.116453 | − | 0.0977160i | −0.582701 | − | 0.812686i | \(-0.698004\pi\) |
0.699155 | + | 0.714970i | \(0.253560\pi\) | |||||||
\(158\) | 12010.2 | + | 19195.7i | 0.481100 | + | 0.768935i | ||||
\(159\) | −3773.58 | − | 2178.68i | −0.149265 | − | 0.0861784i | ||||
\(160\) | −21110.6 | + | 36809.1i | −0.824632 | + | 1.43786i | ||||
\(161\) | −36988.4 | + | 13462.7i | −1.42697 | + | 0.519373i | ||||
\(162\) | −13878.4 | − | 7369.00i | −0.528821 | − | 0.280788i | ||||
\(163\) | −3335.65 | + | 1925.84i | −0.125547 | + | 0.0724845i | −0.561458 | − | 0.827505i | \(-0.689759\pi\) |
0.435911 | + | 0.899990i | \(0.356426\pi\) | |||||||
\(164\) | 14827.0 | + | 10746.3i | 0.551270 | + | 0.399551i | ||||
\(165\) | −1855.66 | + | 10524.0i | −0.0681601 | + | 0.386555i | ||||
\(166\) | −2327.32 | + | 16629.3i | −0.0844579 | + | 0.603472i | ||||
\(167\) | 5140.77 | − | 6126.53i | 0.184330 | − | 0.219676i | −0.665964 | − | 0.745984i | \(-0.731980\pi\) |
0.850294 | + | 0.526308i | \(0.176424\pi\) | |||||||
\(168\) | −9269.36 | − | 8920.40i | −0.328421 | − | 0.316057i | ||||
\(169\) | −43948.9 | − | 15996.1i | −1.53877 | − | 0.560067i | ||||
\(170\) | 25934.0 | + | 28769.2i | 0.897369 | + | 0.995476i | ||||
\(171\) | 4176.49 | + | 24788.7i | 0.142830 | + | 0.847737i | ||||
\(172\) | 48078.9 | + | 4997.28i | 1.62516 | + | 0.168918i | ||||
\(173\) | −2378.42 | − | 865.676i | −0.0794689 | − | 0.0289243i | 0.301980 | − | 0.953314i | \(-0.402352\pi\) |
−0.381449 | + | 0.924390i | \(0.624575\pi\) | |||||||
\(174\) | 8712.65 | + | 6798.98i | 0.287774 | + | 0.224567i | ||||
\(175\) | 41857.2 | − | 49883.4i | 1.36676 | − | 1.62885i | ||||
\(176\) | −9233.26 | − | 17269.1i | −0.298078 | − | 0.557499i | ||||
\(177\) | 2089.69 | − | 11851.2i | 0.0667014 | − | 0.378282i | ||||
\(178\) | 1080.36 | − | 230.288i | 0.0340980 | − | 0.00726828i | ||||
\(179\) | −37271.5 | + | 21518.7i | −1.16324 | + | 0.671599i | −0.952079 | − | 0.305851i | \(-0.901059\pi\) |
−0.211164 | + | 0.977451i | \(0.567726\pi\) | |||||||
\(180\) | −11220.9 | − | 44784.6i | −0.346324 | − | 1.38224i | ||||
\(181\) | 18336.5 | − | 6673.93i | 0.559705 | − | 0.203716i | −0.0466484 | − | 0.998911i | \(-0.514854\pi\) |
0.606353 | + | 0.795196i | \(0.292632\pi\) | |||||||
\(182\) | −62265.8 | − | 20191.7i | −1.87978 | − | 0.609580i | ||||
\(183\) | 77.6345 | + | 44.8223i | 0.00231821 | + | 0.00133842i | ||||
\(184\) | −37943.3 | + | 18587.5i | −1.12073 | + | 0.549016i | ||||
\(185\) | 32056.8 | − | 26898.8i | 0.936648 | − | 0.785941i | ||||
\(186\) | 528.168 | + | 14878.9i | 0.0152667 | + | 0.430076i | ||||
\(187\) | −17603.3 | + | 3103.94i | −0.503399 | + | 0.0887627i | ||||
\(188\) | −24408.4 | − | 11870.0i | −0.690595 | − | 0.335841i | ||||
\(189\) | 30278.6 | 0.847642 | ||||||||
\(190\) | −37170.6 | + | 46891.9i | −1.02966 | + | 1.29895i | ||||
\(191\) | 46644.6i | 1.27860i | 0.768958 | + | 0.639299i | \(0.220776\pi\) | ||||
−0.768958 | + | 0.639299i | \(0.779224\pi\) | |||||||
\(192\) | −10910.8 | − | 8463.85i | −0.295974 | − | 0.229597i | ||||
\(193\) | −12701.6 | − | 72034.6i | −0.340993 | − | 1.93387i | −0.357275 | − | 0.933999i | \(-0.616294\pi\) |
0.0162820 | − | 0.999867i | \(-0.494817\pi\) | |||||||
\(194\) | −1954.25 | − | 55052.8i | −0.0519250 | − | 1.46277i | ||||
\(195\) | 24646.3 | + | 29372.4i | 0.648161 | + | 0.772449i | ||||
\(196\) | −17753.9 | − | 5068.71i | −0.462148 | − | 0.131943i | ||||
\(197\) | 15759.2 | − | 27295.6i | 0.406069 | − | 0.703333i | −0.588376 | − | 0.808588i | \(-0.700232\pi\) |
0.994445 | + | 0.105255i | \(0.0335658\pi\) | |||||||
\(198\) | 20267.5 | + | 6572.40i | 0.516975 | + | 0.167646i | ||||
\(199\) | −4842.02 | − | 13303.3i | −0.122270 | − | 0.335935i | 0.863424 | − | 0.504479i | \(-0.168315\pi\) |
−0.985694 | + | 0.168545i | \(0.946093\pi\) | |||||||
\(200\) | 38986.3 | − | 58015.6i | 0.974657 | − | 1.45039i | ||||
\(201\) | 3679.27 | + | 6372.67i | 0.0910687 | + | 0.157736i | ||||
\(202\) | 13619.4 | − | 2903.09i | 0.333775 | − | 0.0711471i | ||||
\(203\) | 48121.2 | + | 8485.06i | 1.16773 | + | 0.205903i | ||||
\(204\) | −10441.6 | + | 7060.46i | −0.250903 | + | 0.169657i | ||||
\(205\) | −36330.4 | − | 30484.8i | −0.864495 | − | 0.725398i | ||||
\(206\) | 8198.10 | + | 6397.45i | 0.193187 | + | 0.150755i | ||||
\(207\) | 15723.1 | − | 43198.9i | 0.366942 | − | 1.00817i | ||||
\(208\) | −68760.8 | − | 14450.0i | −1.58933 | − | 0.333996i | ||||
\(209\) | −9246.76 | − | 26020.2i | −0.211688 | − | 0.595687i | ||||
\(210\) | 22308.2 | + | 24747.1i | 0.505856 | + | 0.561159i | ||||
\(211\) | −6928.60 | + | 19036.2i | −0.155625 | + | 0.427577i | −0.992863 | − | 0.119262i | \(-0.961947\pi\) |
0.837237 | + | 0.546840i | \(0.184169\pi\) | |||||||
\(212\) | −20627.8 | + | 1466.33i | −0.458967 | + | 0.0326257i | ||||
\(213\) | −15632.3 | − | 13117.0i | −0.344559 | − | 0.289119i | ||||
\(214\) | −2207.79 | + | 15775.2i | −0.0482092 | + | 0.344467i | ||||
\(215\) | −123289. | − | 21739.2i | −2.66715 | − | 0.470290i | ||||
\(216\) | 32317.2 | − | 3453.17i | 0.692670 | − | 0.0740135i | ||||
\(217\) | 32913.7 | + | 57008.3i | 0.698969 | + | 1.21065i | ||||
\(218\) | 8723.55 | + | 4631.95i | 0.183561 | + | 0.0974655i | ||||
\(219\) | −11095.2 | − | 30483.8i | −0.231338 | − | 0.635595i | ||||
\(220\) | 20681.8 | + | 46308.5i | 0.427311 | + | 0.956786i | ||||
\(221\) | −32067.9 | + | 55543.2i | −0.656578 | + | 1.13723i | ||||
\(222\) | 7223.13 | + | 11544.6i | 0.146561 | + | 0.234247i | ||||
\(223\) | 12218.2 | + | 14561.1i | 0.245697 | + | 0.292810i | 0.874772 | − | 0.484534i | \(-0.161011\pi\) |
−0.629076 | + | 0.777344i | \(0.716566\pi\) | |||||||
\(224\) | −60157.1 | − | 10428.7i | −1.19892 | − | 0.207842i | ||||
\(225\) | 13206.3 | + | 74896.4i | 0.260864 | + | 1.47944i | ||||
\(226\) | 8050.29 | + | 19892.2i | 0.157614 | + | 0.389462i | ||||
\(227\) | − | 3600.63i | − | 0.0698758i | −0.999389 | − | 0.0349379i | \(-0.988877\pi\) | ||
0.999389 | − | 0.0349379i | \(-0.0111233\pi\) | |||||||
\(228\) | −13435.9 | − | 14094.5i | −0.258462 | − | 0.271131i | ||||
\(229\) | −1792.58 | −0.0341828 | −0.0170914 | − | 0.999854i | \(-0.505441\pi\) | ||||
−0.0170914 | + | 0.999854i | \(0.505441\pi\) | |||||||
\(230\) | 101436. | − | 41050.8i | 1.91750 | − | 0.776008i | ||||
\(231\) | −15142.3 | + | 2669.99i | −0.283771 | + | 0.0500364i | ||||
\(232\) | 52328.8 | + | 3568.29i | 0.972220 | + | 0.0662955i | ||||
\(233\) | −69462.4 | + | 58285.9i | −1.27949 | + | 1.07362i | −0.286179 | + | 0.958176i | \(0.592385\pi\) |
−0.993314 | + | 0.115446i | \(0.963170\pi\) | |||||||
\(234\) | 64808.7 | − | 40548.9i | 1.18359 | − | 0.740539i | ||||
\(235\) | 60876.7 | + | 35147.2i | 1.10234 | + | 0.636436i | ||||
\(236\) | −23290.1 | − | 52148.7i | −0.418165 | − | 0.936309i | ||||
\(237\) | 17933.3 | − | 6527.19i | 0.319274 | − | 0.116206i | ||||
\(238\) | −26135.5 | + | 49222.1i | −0.461399 | + | 0.868973i | ||||
\(239\) | 1201.15 | − | 693.481i | 0.0210281 | − | 0.0121406i | −0.489449 | − | 0.872032i | \(-0.662802\pi\) |
0.510477 | + | 0.859891i | \(0.329469\pi\) | |||||||
\(240\) | 26632.5 | + | 23869.1i | 0.462370 | + | 0.414394i | ||||
\(241\) | −9395.14 | + | 53282.5i | −0.161759 | + | 0.917382i | 0.790584 | + | 0.612354i | \(0.209777\pi\) |
−0.952343 | + | 0.305029i | \(0.901334\pi\) | |||||||
\(242\) | 34819.2 | + | 4873.06i | 0.594550 | + | 0.0832092i | ||||
\(243\) | −34953.4 | + | 41655.9i | −0.591939 | + | 0.705446i | ||||
\(244\) | 424.380 | − | 30.1671i | 0.00712812 | − | 0.000506703i | ||||
\(245\) | 44934.4 | + | 16354.8i | 0.748596 | + | 0.272467i | ||||
\(246\) | 11463.4 | − | 10333.7i | 0.189428 | − | 0.170759i | ||||
\(247\) | −92845.3 | − | 34596.0i | −1.52183 | − | 0.567064i | ||||
\(248\) | 41631.3 | + | 57092.8i | 0.676888 | + | 0.928278i | ||||
\(249\) | 13298.6 | + | 4840.30i | 0.214490 | + | 0.0780681i | ||||
\(250\) | −47637.6 | + | 61045.8i | −0.762201 | + | 0.976733i | ||||
\(251\) | 28694.3 | − | 34196.6i | 0.455458 | − | 0.542794i | −0.488628 | − | 0.872492i | \(-0.662502\pi\) |
0.944086 | + | 0.329698i | \(0.106947\pi\) | |||||||
\(252\) | 55029.7 | − | 37210.4i | 0.866556 | − | 0.585953i | ||||
\(253\) | −8769.22 | + | 49732.7i | −0.137000 | + | 0.776964i | ||||
\(254\) | −21992.8 | − | 103176.i | −0.340889 | − | 1.59922i | ||||
\(255\) | 28271.3 | − | 16322.4i | 0.434776 | − | 0.251018i | ||||
\(256\) | −65396.7 | − | 4270.12i | −0.997875 | − | 0.0651569i | ||||
\(257\) | 30735.8 | − | 11186.9i | 0.465348 | − | 0.169373i | −0.0986958 | − | 0.995118i | \(-0.531467\pi\) |
0.564044 | + | 0.825745i | \(0.309245\pi\) | |||||||
\(258\) | 12567.1 | − | 38753.4i | 0.188797 | − | 0.582198i | ||||
\(259\) | 52144.5 | + | 30105.6i | 0.777336 | + | 0.448795i | ||||
\(260\) | 174983. | + | 49957.3i | 2.58850 | + | 0.739013i | ||||
\(261\) | −43716.6 | + | 36682.6i | −0.641749 | + | 0.538491i | ||||
\(262\) | 115804. | − | 4110.78i | 1.68702 | − | 0.0598855i | ||||
\(263\) | −50641.3 | + | 8929.42i | −0.732138 | + | 0.129096i | −0.527275 | − | 0.849695i | \(-0.676786\pi\) |
−0.204863 | + | 0.978791i | \(0.565675\pi\) | |||||||
\(264\) | −15857.3 | + | 4576.68i | −0.227521 | + | 0.0656664i | ||||
\(265\) | 53559.1 | 0.762678 | ||||||||
\(266\) | −81693.1 | − | 27181.0i | −1.15457 | − | 0.384151i | ||||
\(267\) | − | 931.005i | − | 0.0130596i | ||||||
\(268\) | 31406.6 | + | 15273.2i | 0.437271 | + | 0.212648i | ||||
\(269\) | 2439.14 | + | 13833.1i | 0.0337080 | + | 0.191167i | 0.997012 | − | 0.0772446i | \(-0.0246123\pi\) |
−0.963304 | + | 0.268412i | \(0.913501\pi\) | |||||||
\(270\) | −84122.2 | + | 2986.15i | −1.15394 | + | 0.0409623i | ||||
\(271\) | −14125.1 | − | 16833.6i | −0.192333 | − | 0.229213i | 0.661257 | − | 0.750160i | \(-0.270023\pi\) |
−0.853589 | + | 0.520947i | \(0.825579\pi\) | |||||||
\(272\) | −22281.5 | + | 55516.8i | −0.301167 | + | 0.750389i | ||||
\(273\) | −27584.6 | + | 47778.0i | −0.370119 | + | 0.641065i | ||||
\(274\) | 8313.74 | − | 25637.3i | 0.110738 | − | 0.341485i | ||||
\(275\) | −28573.6 | − | 78505.4i | −0.377833 | − | 1.03809i | ||||
\(276\) | 8654.76 | + | 34542.7i | 0.113615 | + | 0.453459i | ||||
\(277\) | 1905.29 | + | 3300.06i | 0.0248314 | + | 0.0430093i | 0.878174 | − | 0.478341i | \(-0.158762\pi\) |
−0.853343 | + | 0.521350i | \(0.825428\pi\) | |||||||
\(278\) | −2750.55 | − | 12903.7i | −0.0355901 | − | 0.166965i | ||||
\(279\) | −75712.2 | − | 13350.1i | −0.972652 | − | 0.171505i | ||||
\(280\) | 153494. | + | 37988.7i | 1.95784 | + | 0.484550i | ||||
\(281\) | 22067.4 | + | 18516.7i | 0.279472 | + | 0.234504i | 0.771739 | − | 0.635940i | \(-0.219387\pi\) |
−0.492267 | + | 0.870444i | \(0.663832\pi\) | |||||||
\(282\) | −14073.2 | + | 18034.2i | −0.176967 | + | 0.226777i | ||||
\(283\) | 34620.1 | − | 95118.0i | 0.432271 | − | 1.18765i | −0.512145 | − | 0.858899i | \(-0.671149\pi\) |
0.944415 | − | 0.328755i | \(-0.106629\pi\) | |||||||
\(284\) | −96329.7 | − | 10012.4i | −1.19433 | − | 0.124137i | ||||
\(285\) | 32121.9 | + | 38879.0i | 0.395468 | + | 0.478658i | ||||
\(286\) | −62376.6 | + | 56229.2i | −0.762587 | + | 0.687433i | ||||
\(287\) | 23338.9 | − | 64123.0i | 0.283345 | − | 0.778485i | ||||
\(288\) | 54491.0 | − | 45991.6i | 0.656962 | − | 0.554490i | ||||
\(289\) | −22151.1 | − | 18587.0i | −0.265216 | − | 0.222543i | ||||
\(290\) | −134530. | − | 18828.0i | −1.59965 | − | 0.223876i | ||||
\(291\) | −45723.5 | − | 8062.28i | −0.539950 | − | 0.0952077i | ||||
\(292\) | −124660. | − | 90351.8i | −1.46205 | − | 1.05967i | ||||
\(293\) | 7825.00 | + | 13553.3i | 0.0911484 | + | 0.157874i | 0.907995 | − | 0.418982i | \(-0.137613\pi\) |
−0.816846 | + | 0.576856i | \(0.804280\pi\) | |||||||
\(294\) | −7297.63 | + | 13743.9i | −0.0844281 | + | 0.159007i | ||||
\(295\) | 50591.0 | + | 138998.i | 0.581338 | + | 1.59721i | ||||
\(296\) | 59088.7 | + | 26185.7i | 0.674405 | + | 0.298869i | ||||
\(297\) | 19423.0 | − | 33641.7i | 0.220193 | − | 0.381386i | ||||
\(298\) | 41281.2 | − | 25828.4i | 0.464857 | − | 0.290848i | ||||
\(299\) | 116470. | + | 138804.i | 1.30278 | + | 1.55260i | ||||
\(300\) | −40972.2 | − | 42330.2i | −0.455246 | − | 0.470335i | ||||
\(301\) | −31279.1 | − | 177393.i | −0.345241 | − | 1.95796i | ||||
\(302\) | 5368.41 | − | 2172.58i | 0.0588615 | − | 0.0238211i | ||||
\(303\) | − | 11736.5i | − | 0.127837i | ||||||
\(304\) | −90293.2 | − | 19694.2i | −0.977029 | − | 0.213104i | ||||
\(305\) | −1101.88 | −0.0118450 | ||||||||
\(306\) | −24417.1 | − | 60334.3i | −0.260766 | − | 0.644350i | ||||
\(307\) | −154702. | + | 27278.1i | −1.64142 | + | 0.289426i | −0.916686 | − | 0.399607i | \(-0.869146\pi\) |
−0.724730 | + | 0.689033i | \(0.758035\pi\) | |||||||
\(308\) | −52434.3 | + | 50752.1i | −0.552731 | + | 0.534999i | ||||
\(309\) | 6713.89 | − | 5633.62i | 0.0703165 | − | 0.0590025i | ||||
\(310\) | −97065.6 | − | 155138.i | −1.01005 | − | 1.61434i | ||||
\(311\) | 96272.3 | + | 55582.8i | 0.995361 | + | 0.574672i | 0.906872 | − | 0.421405i | \(-0.138463\pi\) |
0.0884884 | + | 0.996077i | \(0.471796\pi\) | |||||||
\(312\) | −23992.9 | + | 54140.7i | −0.246475 | + | 0.556179i | ||||
\(313\) | 66493.3 | − | 24201.6i | 0.678718 | − | 0.247033i | 0.0204210 | − | 0.999791i | \(-0.493499\pi\) |
0.658297 | + | 0.752758i | \(0.271277\pi\) | |||||||
\(314\) | −13238.1 | − | 7029.03i | −0.134266 | − | 0.0712913i | ||||
\(315\) | −148997. | + | 86023.4i | −1.50161 | + | 0.866952i | ||||
\(316\) | 53153.1 | − | 73336.6i | 0.532298 | − | 0.734423i | ||||
\(317\) | 25845.3 | − | 146576.i | 0.257195 | − | 1.45863i | −0.533180 | − | 0.846002i | \(-0.679003\pi\) |
0.790375 | − | 0.612624i | \(-0.209886\pi\) | |||||||
\(318\) | −2415.76 | + | 17261.2i | −0.0238891 | + | 0.170693i | ||||
\(319\) | 40296.2 | − | 48023.1i | 0.395988 | − | 0.471920i | ||||
\(320\) | 168161. | + | 23040.9i | 1.64220 | + | 0.225009i | ||||
\(321\) | 12615.6 | + | 4591.70i | 0.122433 | + | 0.0445618i | ||||
\(322\) | 105421. | + | 116947.i | 1.01675 | + | 1.12791i | ||||
\(323\) | −42733.9 | + | 72732.2i | −0.409607 | + | 0.697142i | ||||
\(324\) | −6497.95 | + | 62516.9i | −0.0618994 | + | 0.595535i | ||||
\(325\) | −281680. | − | 102523.i | −2.66679 | − | 0.970634i | ||||
\(326\) | 12146.1 | + | 9478.32i | 0.114288 | + | 0.0891859i | ||||
\(327\) | 5350.91 | − | 6376.97i | 0.0500417 | − | 0.0596374i | ||||
\(328\) | 17597.2 | − | 71102.0i | 0.163567 | − | 0.660898i | ||||
\(329\) | −17563.1 | + | 99605.6i | −0.162260 | + | 0.920220i | ||||
\(330\) | 41806.1 | − | 8911.33i | 0.383894 | − | 0.0818304i | ||||
\(331\) | 105892. | − | 61136.8i | 0.966512 | − | 0.558016i | 0.0683409 | − | 0.997662i | \(-0.478229\pi\) |
0.898171 | + | 0.439646i | \(0.144896\pi\) | |||||||
\(332\) | 65151.6 | − | 16323.9i | 0.591083 | − | 0.148097i | ||||
\(333\) | −66080.1 | + | 24051.2i | −0.595912 | + | 0.216894i | ||||
\(334\) | −30430.4 | − | 9868.07i | −0.272782 | − | 0.0884584i | ||||
\(335\) | −78330.7 | − | 45224.3i | −0.697979 | − | 0.402978i | ||||
\(336\) | −19166.4 | + | 47755.2i | −0.169771 | + | 0.423002i | ||||
\(337\) | 10521.3 | − | 8828.43i | 0.0926425 | − | 0.0777363i | −0.595290 | − | 0.803511i | \(-0.702963\pi\) |
0.687933 | + | 0.725775i | \(0.258518\pi\) | |||||||
\(338\) | 6636.66 | + | 186960.i | 0.0580919 | + | 1.63650i | ||||
\(339\) | 17811.6 | − | 3140.67i | 0.154990 | − | 0.0273289i | ||||
\(340\) | 67757.1 | − | 139330.i | 0.586134 | − | 1.20528i | ||||
\(341\) | 84453.7 | 0.726289 | ||||||||
\(342\) | 85646.1 | − | 52682.9i | 0.732243 | − | 0.450420i | ||||
\(343\) | − | 74353.2i | − | 0.631991i | ||||||
\(344\) | −53616.1 | − | 185769.i | −0.453084 | − | 1.56984i | ||||
\(345\) | −16015.2 | − | 90826.7i | −0.134553 | − | 0.763089i | ||||
\(346\) | 359.162 | + | 10117.9i | 0.00300012 | + | 0.0845158i | ||||
\(347\) | 2917.94 | + | 3477.46i | 0.0242336 | + | 0.0288804i | 0.778025 | − | 0.628233i | \(-0.216222\pi\) |
−0.753792 | + | 0.657114i | \(0.771777\pi\) | |||||||
\(348\) | 12135.9 | − | 42507.7i | 0.100210 | − | 0.351001i | ||||
\(349\) | −18323.1 | + | 31736.6i | −0.150435 | + | 0.260561i | −0.931387 | − | 0.364029i | \(-0.881401\pi\) |
0.780952 | + | 0.624591i | \(0.214734\pi\) | |||||||
\(350\) | −247771. | − | 80347.7i | −2.02262 | − | 0.655900i | ||||
\(351\) | −47671.2 | − | 130976.i | −0.386938 | − | 1.06310i | ||||
\(352\) | −50176.5 | + | 60149.1i | −0.404962 | + | 0.485449i | ||||
\(353\) | −42192.4 | − | 73079.3i | −0.338598 | − | 0.586469i | 0.645571 | − | 0.763700i | \(-0.276619\pi\) |
−0.984169 | + | 0.177231i | \(0.943286\pi\) | |||||||
\(354\) | −47078.4 | + | 10035.2i | −0.375678 | + | 0.0800791i | ||||
\(355\) | 247019. | + | 43556.1i | 1.96008 | + | 0.345615i | ||||
\(356\) | −2475.03 | − | 3660.27i | −0.0195290 | − | 0.0288811i | ||||
\(357\) | 35981.7 | + | 30192.2i | 0.282322 | + | 0.236896i | ||||
\(358\) | 135717. | + | 105908.i | 1.05893 | + | 0.826345i | ||||
\(359\) | 48202.5 | − | 132435.i | 0.374008 | − | 1.02758i | −0.599789 | − | 0.800158i | \(-0.704749\pi\) |
0.973797 | − | 0.227420i | \(-0.0730289\pi\) | |||||||
\(360\) | −149218. | + | 108808.i | −1.15137 | + | 0.839565i | ||||
\(361\) | −121769. | − | 46432.7i | −0.934374 | − | 0.356295i | ||||
\(362\) | −52261.1 | − | 57974.7i | −0.398806 | − | 0.442406i | ||||
\(363\) | 10134.9 | − | 27845.3i | 0.0769138 | − | 0.211319i | ||||
\(364\) | 18565.5 | + | 261173.i | 0.140121 | + | 1.97117i | ||||
\(365\) | 305455. | + | 256307.i | 2.29277 | + | 1.92387i | ||||
\(366\) | 49.6998 | − | 355.117i | 0.000371016 | − | 0.00265100i | ||||
\(367\) | 76097.3 | + | 13418.0i | 0.564986 | + | 0.0996222i | 0.448843 | − | 0.893610i | \(-0.351836\pi\) |
0.116142 | + | 0.993233i | \(0.462947\pi\) | |||||||
\(368\) | 125856. | + | 112797.i | 0.929350 | + | 0.832920i | ||||
\(369\) | 39847.9 | + | 69018.6i | 0.292653 | + | 0.506890i | ||||
\(370\) | −147841. | − | 78499.0i | −1.07992 | − | 0.573404i | ||||
\(371\) | 26357.0 | + | 72415.4i | 0.191491 | + | 0.526118i | ||||
\(372\) | 54376.6 | − | 24285.1i | 0.392940 | − | 0.175491i | ||||
\(373\) | 88081.7 | − | 152562.i | 0.633094 | − | 1.09655i | −0.353822 | − | 0.935313i | \(-0.615118\pi\) |
0.986916 | − | 0.161238i | \(-0.0515486\pi\) | |||||||
\(374\) | 37924.0 | + | 60613.3i | 0.271126 | + | 0.433336i | ||||
\(375\) | 41949.8 | + | 49993.9i | 0.298310 | + | 0.355512i | ||||
\(376\) | −7385.96 | + | 108315.i | −0.0522434 | + | 0.766147i | ||||
\(377\) | −39059.2 | − | 221516.i | −0.274815 | − | 1.55855i | ||||
\(378\) | −45435.0 | − | 112269.i | −0.317985 | − | 0.785737i | ||||
\(379\) | 53659.2i | 0.373564i | 0.982401 | + | 0.186782i | \(0.0598059\pi\) | ||||
−0.982401 | + | 0.186782i | \(0.940194\pi\) | |||||||
\(380\) | 229646. | + | 67459.5i | 1.59035 | + | 0.467171i | ||||
\(381\) | −88912.0 | −0.612506 | ||||||||
\(382\) | 172952. | − | 69993.1i | 1.18522 | − | 0.479655i | ||||
\(383\) | −139515. | + | 24600.2i | −0.951093 | + | 0.167703i | −0.627607 | − | 0.778530i | \(-0.715966\pi\) |
−0.323485 | + | 0.946233i | \(0.604855\pi\) | |||||||
\(384\) | −15010.5 | + | 53156.3i | −0.101797 | + | 0.360489i | ||||
\(385\) | 144779. | − | 121484.i | 0.976749 | − | 0.819589i | ||||
\(386\) | −248035. | + | 155189.i | −1.66471 | + | 1.04156i | ||||
\(387\) | 182189. | + | 105187.i | 1.21647 | + | 0.702328i | ||||
\(388\) | −201196. | + | 89856.3i | −1.33646 | + | 0.596878i | ||||
\(389\) | −113800. | + | 41420.0i | −0.752047 | + | 0.273723i | −0.689467 | − | 0.724317i | \(-0.742155\pi\) |
−0.0625800 | + | 0.998040i | \(0.519933\pi\) | |||||||
\(390\) | 71925.6 | − | 135461.i | 0.472883 | − | 0.890602i | ||||
\(391\) | 133601. | − | 77134.3i | 0.873886 | − | 0.504538i | ||||
\(392\) | 7846.71 | + | 73435.0i | 0.0510641 | + | 0.477894i | ||||
\(393\) | 16959.1 | − | 96179.6i | 0.109804 | − | 0.622727i | ||||
\(394\) | −124856. | − | 17474.1i | −0.804300 | − | 0.112564i | ||||
\(395\) | −150783. | + | 179696.i | −0.966402 | + | 1.15171i | ||||
\(396\) | −6043.05 | − | 85011.6i | −0.0385359 | − | 0.542110i | ||||
\(397\) | 201707. | + | 73415.2i | 1.27979 | + | 0.465806i | 0.890363 | − | 0.455251i | \(-0.150450\pi\) |
0.389428 | + | 0.921057i | \(0.372673\pi\) | |||||||
\(398\) | −42061.3 | + | 37916.1i | −0.265532 | + | 0.239363i | ||||
\(399\) | −36759.4 | + | 62563.8i | −0.230899 | + | 0.392986i | ||||
\(400\) | −273616. | − | 57500.0i | −1.71010 | − | 0.359375i | ||||
\(401\) | 127737. | + | 46492.6i | 0.794381 | + | 0.289131i | 0.707156 | − | 0.707058i | \(-0.249978\pi\) |
0.0872250 | + | 0.996189i | \(0.472200\pi\) | |||||||
\(402\) | 18108.1 | − | 23204.8i | 0.112052 | − | 0.143591i | ||||
\(403\) | 194779. | − | 232129.i | 1.19931 | − | 1.42929i | ||||
\(404\) | −31201.0 | − | 46142.6i | −0.191164 | − | 0.282709i | ||||
\(405\) | 28267.4 | − | 160312.i | 0.172336 | − | 0.977365i | ||||
\(406\) | −40747.4 | − | 191160.i | −0.247199 | − | 1.15970i | ||||
\(407\) | 66899.0 | − | 38624.1i | 0.403860 | − | 0.233169i | ||||
\(408\) | 41847.5 | + | 28121.4i | 0.251391 | + | 0.168934i | ||||
\(409\) | −201715. | + | 73418.4i | −1.20585 | + | 0.438893i | −0.865261 | − | 0.501321i | \(-0.832848\pi\) |
−0.340586 | + | 0.940213i | \(0.610625\pi\) | |||||||
\(410\) | −58517.8 | + | 180453.i | −0.348113 | + | 1.07349i | ||||
\(411\) | −19672.1 | − | 11357.7i | −0.116457 | − | 0.0672367i | ||||
\(412\) | 11419.2 | − | 39997.3i | 0.0672728 | − | 0.235633i | ||||
\(413\) | −163037. | + | 136805.i | −0.955844 | + | 0.802049i | ||||
\(414\) | −183769. | + | 6523.40i | −1.07219 | + | 0.0380604i | ||||
\(415\) | −171310. | + | 30206.5i | −0.994686 | + | 0.175390i | ||||
\(416\) | 49601.3 | + | 276639.i | 0.286620 | + | 1.59855i | ||||
\(417\) | −11119.9 | −0.0639480 | ||||||||
\(418\) | −82604.3 | + | 73330.8i | −0.472770 | + | 0.419695i | ||||
\(419\) | 269807.i | 1.53683i | 0.639953 | + | 0.768414i | \(0.278954\pi\) | ||||
−0.639953 | + | 0.768414i | \(0.721046\pi\) | |||||||
\(420\) | 58284.2 | − | 119851.i | 0.330409 | − | 0.679426i | ||||
\(421\) | −4461.90 | − | 25304.7i | −0.0251742 | − | 0.142770i | 0.969630 | − | 0.244576i | \(-0.0786489\pi\) |
−0.994804 | + | 0.101806i | \(0.967538\pi\) | |||||||
\(422\) | 80980.4 | − | 2874.62i | 0.454732 | − | 0.0161419i | ||||
\(423\) | −75928.9 | − | 90488.5i | −0.424352 | − | 0.505723i | ||||
\(424\) | 36390.3 | + | 74285.0i | 0.202420 | + | 0.413209i | ||||
\(425\) | −127606. | + | 221020.i | −0.706468 | + | 1.22364i | ||||
\(426\) | −25179.1 | + | 77645.4i | −0.138746 | + | 0.427855i | ||||
\(427\) | −542.248 | − | 1489.81i | −0.00297401 | − | 0.00817102i | ||||
\(428\) | 61805.3 | − | 15485.5i | 0.337395 | − | 0.0845351i | ||||
\(429\) | 35389.8 | + | 61296.9i | 0.192293 | + | 0.333061i | ||||
\(430\) | 104397. | + | 489761.i | 0.564612 | + | 2.64879i | ||||
\(431\) | −40041.1 | − | 7060.32i | −0.215551 | − | 0.0380075i | 0.0648294 | − | 0.997896i | \(-0.479350\pi\) |
−0.280381 | + | 0.959889i | \(0.590461\pi\) | |||||||
\(432\) | −61297.9 | − | 114646.i | −0.328457 | − | 0.614317i | ||||
\(433\) | 42542.0 | + | 35697.0i | 0.226904 | + | 0.190395i | 0.749151 | − | 0.662399i | \(-0.230462\pi\) |
−0.522247 | + | 0.852794i | \(0.674906\pi\) | |||||||
\(434\) | 161990. | − | 207584.i | 0.860021 | − | 1.10209i | ||||
\(435\) | −39157.9 | + | 107585.i | −0.206938 | + | 0.568558i | ||||
\(436\) | 4084.43 | − | 39296.3i | 0.0214861 | − | 0.206718i | ||||
\(437\) | 151797. | + | 183729.i | 0.794880 | + | 0.962088i | ||||
\(438\) | −96380.8 | + | 86882.3i | −0.502392 | + | 0.452880i | ||||
\(439\) | −5879.45 | + | 16153.7i | −0.0305076 | + | 0.0838189i | −0.954011 | − | 0.299770i | \(-0.903090\pi\) |
0.923504 | + | 0.383589i | \(0.125312\pi\) | |||||||
\(440\) | 140671. | − | 146174.i | 0.726608 | − | 0.755033i | ||||
\(441\) | −61555.5 | − | 51651.2i | −0.316512 | − | 0.265585i | ||||
\(442\) | 254067. | + | 35557.5i | 1.30048 | + | 0.182006i | ||||
\(443\) | 35237.7 | + | 6213.36i | 0.179556 | + | 0.0316606i | 0.262703 | − | 0.964877i | \(-0.415386\pi\) |
−0.0831470 | + | 0.996537i | \(0.526497\pi\) | |||||||
\(444\) | 31967.2 | − | 44105.9i | 0.162158 | − | 0.223733i | ||||
\(445\) | 5721.79 | + | 9910.44i | 0.0288943 | + | 0.0500464i | ||||
\(446\) | 35656.6 | − | 67153.6i | 0.179254 | − | 0.337598i | ||||
\(447\) | −14037.0 | − | 38566.4i | −0.0702521 | − | 0.193016i | ||||
\(448\) | 51601.3 | + | 238704.i | 0.257102 | + | 1.18933i | ||||
\(449\) | 1615.37 | − | 2797.90i | 0.00801269 | − | 0.0138784i | −0.861991 | − | 0.506923i | \(-0.830783\pi\) |
0.870004 | + | 0.493045i | \(0.164116\pi\) | |||||||
\(450\) | 257889. | − | 161354.i | 1.27353 | − | 0.796809i | ||||
\(451\) | −56273.9 | − | 67064.6i | −0.276665 | − | 0.329716i | ||||
\(452\) | 61677.6 | − | 59698.9i | 0.301891 | − | 0.292206i | ||||
\(453\) | −847.590 | − | 4806.92i | −0.00413037 | − | 0.0234245i | ||||
\(454\) | −13350.7 | + | 5402.97i | −0.0647726 | + | 0.0262133i | ||||
\(455\) | − | 678121.i | − | 3.27555i | ||||||
\(456\) | −32099.1 | + | 70968.3i | −0.154370 | + | 0.341299i | ||||
\(457\) | 184239. | 0.882162 | 0.441081 | − | 0.897467i | \(-0.354595\pi\) | ||||
0.441081 | + | 0.897467i | \(0.354595\pi\) | |||||||
\(458\) | 2689.88 | + | 6646.66i | 0.0128234 | + | 0.0316864i | ||||
\(459\) | −116865. | + | 20606.5i | −0.554703 | + | 0.0978091i | ||||
\(460\) | −304422. | − | 314512.i | −1.43867 | − | 1.48635i | ||||
\(461\) | −281594. | + | 236286.i | −1.32502 | + | 1.11182i | −0.339805 | + | 0.940496i | \(0.610361\pi\) |
−0.985214 | + | 0.171327i | \(0.945194\pi\) | |||||||
\(462\) | 32622.0 | + | 52139.2i | 0.152836 | + | 0.244276i | ||||
\(463\) | 166665. | + | 96223.8i | 0.777466 | + | 0.448870i | 0.835531 | − | 0.549443i | \(-0.185160\pi\) |
−0.0580658 | + | 0.998313i | \(0.518493\pi\) | |||||||
\(464\) | −65291.9 | − | 199383.i | −0.303266 | − | 0.926087i | ||||
\(465\) | −144936. | + | 52752.3i | −0.670301 | + | 0.243970i | ||||
\(466\) | 320349. | + | 170096.i | 1.47520 | + | 0.783289i | ||||
\(467\) | −360785. | + | 208299.i | −1.65430 | + | 0.955112i | −0.679029 | + | 0.734112i | \(0.737599\pi\) |
−0.975274 | + | 0.221000i | \(0.929068\pi\) | |||||||
\(468\) | −247600. | − | 179456.i | −1.13047 | − | 0.819345i | ||||
\(469\) | 22598.7 | − | 128164.i | 0.102740 | − | 0.582665i | ||||
\(470\) | 38971.9 | − | 278463.i | 0.176423 | − | 1.26059i | ||||
\(471\) | −8120.07 | + | 9677.12i | −0.0366031 | + | 0.0436219i | ||||
\(472\) | −158412. | + | 164609.i | −0.711057 | + | 0.738874i | ||||
\(473\) | −217161. | − | 79040.1i | −0.970643 | − | 0.353285i | ||||
\(474\) | −51112.0 | − | 56699.9i | −0.227492 | − | 0.252363i | ||||
\(475\) | −369454. | − | 137666.i | −1.63747 | − | 0.610153i | ||||
\(476\) | 221727. | + | 23046.1i | 0.978600 | + | 0.101715i | ||||
\(477\) | −84574.3 | − | 30782.5i | −0.371708 | − | 0.135290i | ||||
\(478\) | −4373.73 | − | 3413.08i | −0.0191424 | − | 0.0149379i | ||||
\(479\) | 153131. | − | 182494.i | 0.667408 | − | 0.795386i | −0.321021 | − | 0.947072i | \(-0.604026\pi\) |
0.988429 | + | 0.151686i | \(0.0484704\pi\) | |||||||
\(480\) | 48539.8 | − | 134567.i | 0.210676 | − | 0.584059i | ||||
\(481\) | 48130.0 | − | 272959.i | 0.208030 | − | 1.17980i | ||||
\(482\) | 211663. | − | 45117.8i | 0.911066 | − | 0.194202i | ||||
\(483\) | 114922. | − | 66350.5i | 0.492618 | − | 0.284413i | ||||
\(484\) | −34179.8 | − | 136418.i | −0.145908 | − | 0.582344i | ||||
\(485\) | 536270. | − | 195186.i | 2.27982 | − | 0.829786i | ||||
\(486\) | 206904. | + | 67095.5i | 0.875986 | + | 0.284067i | ||||
\(487\) | 192225. | + | 110981.i | 0.810499 | + | 0.467942i | 0.847129 | − | 0.531387i | \(-0.178329\pi\) |
−0.0366299 | + | 0.999329i | \(0.511662\pi\) | |||||||
\(488\) | −748.665 | − | 1528.28i | −0.00314375 | − | 0.00641746i | ||||
\(489\) | 9947.15 | − | 8346.65i | 0.0415988 | − | 0.0349056i | ||||
\(490\) | −6785.49 | − | 191153.i | −0.0282611 | − | 0.796137i | ||||
\(491\) | −99879.3 | + | 17611.4i | −0.414298 | + | 0.0730518i | −0.376912 | − | 0.926249i | \(-0.623014\pi\) |
−0.0373855 | + | 0.999301i | \(0.511903\pi\) | |||||||
\(492\) | −55517.5 | − | 26998.5i | −0.229351 | − | 0.111535i | ||||
\(493\) | −191506. | −0.787933 | ||||||||
\(494\) | 11042.7 | + | 396172.i | 0.0452501 | + | 1.62342i | ||||
\(495\) | 220728.i | 0.900839i | ||||||||
\(496\) | 149222. | − | 240035.i | 0.606555 | − | 0.975689i | ||||
\(497\) | 62670.2 | + | 355420.i | 0.253716 | + | 1.43890i | ||||
\(498\) | −2008.20 | − | 56572.7i | −0.00809747 | − | 0.228112i | ||||
\(499\) | 155217. | + | 184980.i | 0.623358 | + | 0.742889i | 0.981644 | − | 0.190723i | \(-0.0610832\pi\) |
−0.358286 | + | 0.933612i | \(0.616639\pi\) | |||||||
\(500\) | 297833. | + | 85030.9i | 1.19133 | + | 0.340124i | ||||
\(501\) | −13481.1 | + | 23350.0i | −0.0537094 | + | 0.0930273i | ||||
\(502\) | −169854. | − | 55080.8i | −0.674014 | − | 0.218571i | ||||
\(503\) | 67597.8 | + | 185723.i | 0.267176 | + | 0.734059i | 0.998638 | + | 0.0521768i | \(0.0166159\pi\) |
−0.731462 | + | 0.681882i | \(0.761162\pi\) | |||||||
\(504\) | −220547. | − | 148207.i | −0.868240 | − | 0.583454i | ||||
\(505\) | 72130.8 | + | 124934.i | 0.282838 | + | 0.489890i | ||||
\(506\) | 197561. | − | 42111.9i | 0.771615 | − | 0.164477i | ||||
\(507\) | 155277. | + | 27379.6i | 0.604077 | + | 0.106515i | ||||
\(508\) | −349560. | + | 236368.i | −1.35455 | + | 0.915928i | ||||
\(509\) | −28947.8 | − | 24290.1i | −0.111733 | − | 0.0937549i | 0.585210 | − | 0.810882i | \(-0.301012\pi\) |
−0.696942 | + | 0.717127i | \(0.745457\pi\) | |||||||
\(510\) | −102944. | − | 80333.5i | −0.395788 | − | 0.308856i | ||||
\(511\) | −196226. | + | 539127.i | −0.751476 | + | 2.06466i | ||||
\(512\) | 82298.9 | + | 248890.i | 0.313945 | + | 0.949441i | ||||
\(513\) | −61387.6 | − | 172744.i | −0.233263 | − | 0.656398i | ||||
\(514\) | −87600.6 | − | 97177.6i | −0.331574 | − | 0.367824i | ||||
\(515\) | −36845.3 | + | 101232.i | −0.138921 | + | 0.381682i | ||||
\(516\) | −162550. | + | 11554.9i | −0.610504 | + | 0.0433977i | ||||
\(517\) | 99402.5 | + | 83408.6i | 0.371892 | + | 0.312054i | ||||
\(518\) | 33381.7 | − | 238520.i | 0.124408 | − | 0.888927i | ||||
\(519\) | 8403.30 | + | 1481.73i | 0.0311972 | + | 0.00550090i | ||||
\(520\) | −77337.4 | − | 723777.i | −0.286011 | − | 2.67669i | ||||
\(521\) | 86697.7 | + | 150165.i | 0.319398 | + | 0.553214i | 0.980363 | − | 0.197203i | \(-0.0631859\pi\) |
−0.660964 | + | 0.750417i | \(0.729853\pi\) | |||||||
\(522\) | 201614. | + | 107051.i | 0.739910 | + | 0.392870i | ||||
\(523\) | −138211. | − | 379731.i | −0.505288 | − | 1.38827i | −0.886048 | − | 0.463593i | \(-0.846560\pi\) |
0.380761 | − | 0.924674i | \(-0.375662\pi\) | |||||||
\(524\) | −189013. | − | 423218.i | −0.688383 | − | 1.54135i | ||||
\(525\) | −109766. | + | 190120.i | −0.398243 | + | 0.689777i | ||||
\(526\) | 109100. | + | 174372.i | 0.394323 | + | 0.630239i | ||||
\(527\) | −165834. | − | 197633.i | −0.597107 | − | 0.711604i | ||||
\(528\) | 40764.6 | + | 51929.1i | 0.146223 | + | 0.186270i | ||||
\(529\) | −27088.5 | − | 153627.i | −0.0967997 | − | 0.548979i | ||||
\(530\) | −80368.8 | − | 198590.i | −0.286112 | − | 0.706978i | ||||
\(531\) | − | 248565.i | − | 0.881559i | ||||||
\(532\) | 21801.9 | + | 343694.i | 0.0770319 | + | 1.21436i | ||||
\(533\) | −314121. | −1.10571 | ||||||||
\(534\) | −3452.05 | + | 1397.03i | −0.0121058 | + | 0.00489918i | ||||
\(535\) | −162511. | + | 28655.1i | −0.567774 | + | 0.100114i | ||||
\(536\) | 9503.60 | − | 139370.i | 0.0330795 | − | 0.485109i | ||||
\(537\) | 111146. | − | 93262.8i | 0.385431 | − | 0.323415i | ||||
\(538\) | 47631.1 | − | 29801.4i | 0.164561 | − | 0.102961i | ||||
\(539\) | 76444.7 | + | 44135.4i | 0.263130 | + | 0.151918i | ||||
\(540\) | 137303. | + | 307433.i | 0.470861 | + | 1.05430i | ||||
\(541\) | 1830.93 | − | 666.402i | 0.00625570 | − | 0.00227689i | −0.338890 | − | 0.940826i | \(-0.610052\pi\) |
0.345146 | + | 0.938549i | \(0.387829\pi\) | |||||||
\(542\) | −41221.4 | + | 77634.0i | −0.140321 | + | 0.264273i | ||||
\(543\) | −56971.2 | + | 32892.4i | −0.193222 | + | 0.111557i | ||||
\(544\) | 239284. | − | 689.452i | 0.808567 | − | 0.00232973i | ||||
\(545\) | −17768.1 | + | 100768.i | −0.0598202 | + | 0.339257i | ||||
\(546\) | 218547. | + | 30586.4i | 0.733094 | + | 0.102599i | ||||
\(547\) | 332768. | − | 396578.i | 1.11216 | − | 1.32542i | 0.171843 | − | 0.985124i | \(-0.445028\pi\) |
0.940318 | − | 0.340297i | \(-0.110528\pi\) | |||||||
\(548\) | −107535. | + | 7644.15i | −0.358088 | + | 0.0254547i | ||||
\(549\) | 1739.96 | + | 633.294i | 0.00577291 | + | 0.00210117i | ||||
\(550\) | −248211. | + | 223750.i | −0.820533 | + | 0.739668i | ||||
\(551\) | −49153.6 | − | 291741.i | −0.161902 | − | 0.960934i | ||||
\(552\) | 115093. | − | 83924.2i | 0.377720 | − | 0.275429i | ||||
\(553\) | −317163. | − | 115438.i | −1.03713 | − | 0.377484i | ||||
\(554\) | 9377.18 | − | 12016.5i | 0.0305529 | − | 0.0391524i | ||||
\(555\) | −90683.4 | + | 108072.i | −0.294403 | + | 0.350856i | ||||
\(556\) | −43718.0 | + | 29561.6i | −0.141420 | + | 0.0956264i | ||||
\(557\) | 58284.7 | − | 330549.i | 0.187864 | − | 1.06543i | −0.734355 | − | 0.678765i | \(-0.762515\pi\) |
0.922220 | − | 0.386667i | \(-0.126374\pi\) | |||||||
\(558\) | 64110.5 | + | 300764.i | 0.205902 | + | 0.965956i | ||||
\(559\) | −718098. | + | 414594.i | −2.29805 | + | 1.32678i | ||||
\(560\) | −89470.8 | − | 626142.i | −0.285302 | − | 1.99663i | ||||
\(561\) | 56627.1 | − | 20610.6i | 0.179928 | − | 0.0654884i | ||||
\(562\) | 35544.1 | − | 109608.i | 0.112537 | − | 0.347033i | ||||
\(563\) | −339376. | − | 195939.i | −1.07069 | − | 0.618164i | −0.142321 | − | 0.989821i | \(-0.545457\pi\) |
−0.928370 | + | 0.371657i | \(0.878790\pi\) | |||||||
\(564\) | 87986.2 | + | 25119.9i | 0.276603 | + | 0.0789697i | ||||
\(565\) | −170301. | + | 142899.i | −0.533481 | + | 0.447644i | ||||
\(566\) | −404635. | + | 14363.6i | −1.26308 | + | 0.0448365i | ||||
\(567\) | 230664. | − | 40672.2i | 0.717485 | − | 0.126512i | ||||
\(568\) | 107424. | + | 372202.i | 0.332970 | + | 1.15367i | ||||
\(569\) | 450807. | 1.39241 | 0.696203 | − | 0.717845i | \(-0.254871\pi\) | ||||
0.696203 | + | 0.717845i | \(0.254871\pi\) | |||||||
\(570\) | 95957.4 | − | 177444.i | 0.295344 | − | 0.546151i | ||||
\(571\) | − | 577692.i | − | 1.77184i | −0.463841 | − | 0.885919i | \(-0.653529\pi\) | ||
0.463841 | − | 0.885919i | \(-0.346471\pi\) | |||||||
\(572\) | 302091. | + | 146909.i | 0.923305 | + | 0.449010i | ||||
\(573\) | −27306.5 | − | 154863.i | −0.0831681 | − | 0.471670i | ||||
\(574\) | −272781. | + | 9683.13i | −0.827925 | + | 0.0293895i | ||||
\(575\) | 463463. | + | 552334.i | 1.40178 | + | 1.67057i | ||||
\(576\) | −252298. | − | 133032.i | −0.760448 | − | 0.400971i | ||||
\(577\) | −318962. | + | 552458.i | −0.958047 | + | 1.65939i | −0.230811 | + | 0.972998i | \(0.574138\pi\) |
−0.727236 | + | 0.686388i | \(0.759195\pi\) | |||||||
\(578\) | −35679.0 | + | 110024.i | −0.106796 | + | 0.329331i | ||||
\(579\) | 84340.5 | + | 231724.i | 0.251582 | + | 0.691215i | ||||
\(580\) | 132060. | + | 527074.i | 0.392568 | + | 1.56681i | ||||
\(581\) | −125145. | − | 216757.i | −0.370732 | − | 0.642127i | ||||
\(582\) | 38717.1 | + | 181635.i | 0.114303 | + | 0.536232i | ||||
\(583\) | 97366.1 | + | 17168.3i | 0.286464 | + | 0.0505114i | ||||
\(584\) | −147952. | + | 597804.i | −0.433805 | + | 1.75280i | ||||
\(585\) | 606692. | + | 509075.i | 1.77279 | + | 1.48755i | ||||
\(586\) | 38512.0 | − | 49351.7i | 0.112150 | − | 0.143717i | ||||
\(587\) | 142731. | − | 392150.i | 0.414230 | − | 1.13809i | −0.540689 | − | 0.841223i | \(-0.681836\pi\) |
0.954919 | − | 0.296866i | \(-0.0959414\pi\) | |||||||
\(588\) | 61911.3 | + | 6435.01i | 0.179067 | + | 0.0186121i | ||||
\(589\) | 258510. | − | 303357.i | 0.745154 | − | 0.874427i | ||||
\(590\) | 439470. | − | 396159.i | 1.26248 | − | 1.13806i | ||||
\(591\) | −36342.0 | + | 99848.9i | −0.104048 | + | 0.285870i | ||||
\(592\) | 8426.78 | − | 258386.i | 0.0240446 | − | 0.737270i | ||||
\(593\) | 51386.5 | + | 43118.4i | 0.146130 | + | 0.122618i | 0.712922 | − | 0.701243i | \(-0.247371\pi\) |
−0.566792 | + | 0.823861i | \(0.691816\pi\) | |||||||
\(594\) | −153885. | − | 21536.7i | −0.436136 | − | 0.0610387i | ||||
\(595\) | −568577. | − | 100255.i | −1.60603 | − | 0.283187i | ||||
\(596\) | −157714. | − | 114308.i | −0.443993 | − | 0.321799i | ||||
\(597\) | 23863.8 | + | 41333.3i | 0.0669562 | + | 0.115972i | ||||
\(598\) | 339896. | − | 640141.i | 0.950481 | − | 1.79008i | ||||
\(599\) | 71146.6 | + | 195474.i | 0.198290 | + | 0.544797i | 0.998490 | − | 0.0549365i | \(-0.0174956\pi\) |
−0.800200 | + | 0.599733i | \(0.795273\pi\) | |||||||
\(600\) | −95473.5 | + | 215439.i | −0.265204 | + | 0.598441i | ||||
\(601\) | 255493. | − | 442527.i | 0.707344 | − | 1.22516i | −0.258495 | − | 0.966013i | \(-0.583227\pi\) |
0.965839 | − | 0.259143i | \(-0.0834400\pi\) | |||||||
\(602\) | −610813. | + | 382168.i | −1.68545 | + | 1.05454i | ||||
\(603\) | 97698.6 | + | 116433.i | 0.268691 | + | 0.320214i | ||||
\(604\) | −16111.3 | − | 16645.3i | −0.0441627 | − | 0.0456265i | ||||
\(605\) | 63248.0 | + | 358697.i | 0.172797 | + | 0.979980i | ||||
\(606\) | −43517.6 | + | 17611.4i | −0.118500 | + | 0.0479567i | ||||
\(607\) | 469911.i | 1.27538i | 0.770295 | + | 0.637688i | \(0.220109\pi\) | ||||
−0.770295 | + | 0.637688i | \(0.779891\pi\) | |||||||
\(608\) | 62466.9 | + | 364348.i | 0.168983 | + | 0.985619i | ||||
\(609\) | −164733. | −0.444166 | ||||||||
\(610\) | 1653.44 | + | 4085.63i | 0.00444354 | + | 0.0109799i | ||||
\(611\) | 458513. | − | 80848.2i | 1.22820 | − | 0.216565i | ||||
\(612\) | −187072. | + | 181071.i | −0.499467 | + | 0.483444i | ||||
\(613\) | −437186. | + | 366843.i | −1.16344 | + | 0.976246i | −0.999947 | − | 0.0102977i | \(-0.996722\pi\) |
−0.163498 | + | 0.986544i | \(0.552278\pi\) | |||||||
\(614\) | 333284. | + | 532682.i | 0.884051 | + | 1.41296i | ||||
\(615\) | 138466. | + | 79943.1i | 0.366093 | + | 0.211364i | ||||
\(616\) | 266863. | + | 118263.i | 0.703279 | + | 0.311664i | ||||
\(617\) | −462494. | + | 168334.i | −1.21489 | + | 0.442182i | −0.868396 | − | 0.495871i | \(-0.834849\pi\) |
−0.346490 | + | 0.938054i | \(0.612626\pi\) | |||||||
\(618\) | −30963.4 | − | 16440.6i | −0.0810720 | − | 0.0430469i | ||||
\(619\) | 57654.1 | − | 33286.6i | 0.150470 | − | 0.0868736i | −0.422875 | − | 0.906188i | \(-0.638979\pi\) |
0.573344 | + | 0.819314i | \(0.305646\pi\) | |||||||
\(620\) | −429580. | + | 592702.i | −1.11753 | + | 1.54189i | ||||
\(621\) | −58217.3 | + | 330166.i | −0.150962 | + | 0.856150i | ||||
\(622\) | 61631.3 | − | 440371.i | 0.159302 | − | 1.13825i | ||||
\(623\) | −10583.8 | + | 12613.3i | −0.0272688 | + | 0.0324977i | ||||
\(624\) | 236749. | + | 7721.13i | 0.608023 | + | 0.0198295i | ||||
\(625\) | −112372. | − | 40900.2i | −0.287673 | − | 0.104705i | ||||
\(626\) | −189514. | − | 210233.i | −0.483607 | − | 0.536477i | ||||
\(627\) | 45932.5 | + | 80975.5i | 0.116838 | + | 0.205977i | ||||
\(628\) | −6198.16 | + | 59632.6i | −0.0157161 | + | 0.151205i | ||||
\(629\) | −221749. | − | 80710.1i | −0.560481 | − | 0.203998i | ||||
\(630\) | 542543. | + | 423378.i | 1.36695 | + | 1.06671i | ||||
\(631\) | 332245. | − | 395954.i | 0.834448 | − | 0.994457i | −0.165518 | − | 0.986207i | \(-0.552929\pi\) |
0.999966 | − | 0.00824991i | \(-0.00262606\pi\) | |||||||
\(632\) | −351682. | − | 87038.7i | −0.880473 | − | 0.217911i | ||||
\(633\) | 11859.3 | − | 67257.3i | 0.0295972 | − | 0.167854i | ||||
\(634\) | −582267. | + | 124115.i | −1.44858 | + | 0.308778i | ||||
\(635\) | 946458. | − | 546438.i | 2.34722 | − | 1.35517i | ||||
\(636\) | 67627.3 | − | 16944.2i | 0.167189 | − | 0.0418896i | ||||
\(637\) | 297618. | − | 108324.i | 0.733467 | − | 0.266960i | ||||
\(638\) | −238530. | − | 77351.3i | −0.586006 | − | 0.190032i | ||||
\(639\) | −365030. | − | 210750.i | −0.893978 | − | 0.516138i | ||||
\(640\) | −166904. | − | 658095.i | −0.407481 | − | 1.60668i | ||||
\(641\) | 395902. | − | 332201.i | 0.963544 | − | 0.808510i | −0.0179817 | − | 0.999838i | \(-0.505724\pi\) |
0.981526 | + | 0.191329i | \(0.0612796\pi\) | |||||||
\(642\) | −1905.06 | − | 53667.1i | −0.00462209 | − | 0.130208i | ||||
\(643\) | 417196. | − | 73562.9i | 1.00906 | − | 0.177925i | 0.355403 | − | 0.934713i | \(-0.384344\pi\) |
0.653660 | + | 0.756788i | \(0.273233\pi\) | |||||||
\(644\) | 275431. | − | 566374.i | 0.664113 | − | 1.36563i | ||||
\(645\) | 422053. | 1.01449 | ||||||||
\(646\) | 333806. | + | 49312.4i | 0.799889 | + | 0.118166i | ||||
\(647\) | 406880.i | 0.971981i | 0.873964 | + | 0.485991i | \(0.161541\pi\) | ||||
−0.873964 | + | 0.485991i | \(0.838459\pi\) | |||||||
\(648\) | 241555. | − | 69717.0i | 0.575263 | − | 0.166031i | ||||
\(649\) | 47414.9 | + | 268903.i | 0.112571 | + | 0.638420i | ||||
\(650\) | 42536.1 | + | 1.19828e6i | 0.100677 | + | 2.83616i | ||||
\(651\) | −142649. | − | 170003.i | −0.336595 | − | 0.401138i | ||||
\(652\) | 16918.4 | − | 59259.1i | 0.0397982 | − | 0.139399i | ||||
\(653\) | 325842. | − | 564374.i | 0.764153 | − | 1.32355i | −0.176540 | − | 0.984293i | \(-0.556491\pi\) |
0.940693 | − | 0.339258i | \(-0.110176\pi\) | |||||||
\(654\) | −31674.3 | − | 10271.4i | −0.0740546 | − | 0.0240146i | ||||
\(655\) | 410576. | + | 1.12805e6i | 0.956998 | + | 2.62933i | ||||
\(656\) | −290043. | + | 41444.9i | −0.673992 | + | 0.0963081i | ||||
\(657\) | −335029. | − | 580287.i | −0.776161 | − | 1.34435i | ||||
\(658\) | 395679. | − | 84342.6i | 0.913885 | − | 0.194803i | ||||
\(659\) | −469564. | − | 82796.7i | −1.08124 | − | 0.190652i | −0.395478 | − | 0.918475i | \(-0.629421\pi\) |
−0.685765 | + | 0.727823i | \(0.740532\pi\) | |||||||
\(660\) | −95774.7 | − | 141639.i | −0.219868 | − | 0.325159i | ||||
\(661\) | −33682.3 | − | 28262.8i | −0.0770901 | − | 0.0646863i | 0.603428 | − | 0.797417i | \(-0.293801\pi\) |
−0.680518 | + | 0.732731i | \(0.738245\pi\) | |||||||
\(662\) | −385585. | − | 300894.i | −0.879841 | − | 0.686591i | ||||
\(663\) | 73951.5 | − | 203180.i | 0.168236 | − | 0.462226i | ||||
\(664\) | −158291. | − | 217079.i | −0.359021 | − | 0.492358i | ||||
\(665\) | 6793.43 | − | 891901.i | 0.0153619 | − | 2.01685i | ||||
\(666\) | 188336. | + | 208926.i | 0.424605 | + | 0.471026i | ||||
\(667\) | −185047. | + | 508412.i | −0.415940 | + | 1.14278i | ||||
\(668\) | 9073.29 | + | 127640.i | 0.0203335 | + | 0.286044i | ||||
\(669\) | −49089.7 | − | 41191.1i | −0.109683 | − | 0.0920347i | ||||
\(670\) | −50145.5 | + | 358302.i | −0.111708 | + | 0.798178i | ||||
\(671\) | −2003.13 | − | 353.206i | −0.00444902 | − | 0.000784482i | ||||
\(672\) | 205831. | − | 593.063i | 0.455797 | − | 0.00131329i | ||||
\(673\) | 267915. | + | 464043.i | 0.591517 | + | 1.02454i | 0.994028 | + | 0.109123i | \(0.0348042\pi\) |
−0.402511 | + | 0.915415i | \(0.631862\pi\) | |||||||
\(674\) | −48522.6 | − | 25764.1i | −0.106813 | − | 0.0567145i | ||||
\(675\) | −189695. | − | 521183.i | −0.416340 | − | 1.14389i | ||||
\(676\) | 683265. | − | 305153.i | 1.49519 | − | 0.667766i | ||||
\(677\) | 307740. | − | 533021.i | 0.671438 | − | 1.16296i | −0.306058 | − | 0.952013i | \(-0.599010\pi\) |
0.977496 | − | 0.210952i | \(-0.0676564\pi\) | |||||||
\(678\) | −38372.7 | − | 61330.4i | −0.0834762 | − | 0.133419i | ||||
\(679\) | 527810. | + | 629019.i | 1.14482 | + | 1.36435i | ||||
\(680\) | −618291. | − | 42161.1i | −1.33713 | − | 0.0911789i | ||||
\(681\) | 2107.87 | + | 11954.3i | 0.00454516 | + | 0.0257769i | ||||
\(682\) | −126728. | − | 313143.i | −0.272461 | − | 0.673247i | ||||
\(683\) | − | 18652.0i | − | 0.0399838i | −0.999800 | − | 0.0199919i | \(-0.993636\pi\) | ||
0.999800 | − | 0.0199919i | \(-0.00636405\pi\) | |||||||
\(684\) | −323859. | − | 238511.i | −0.692219 | − | 0.509795i | ||||
\(685\) | 279210. | 0.595044 | ||||||||
\(686\) | −275692. | + | 111572.i | −0.585836 | + | 0.237086i | ||||
\(687\) | 5951.48 | − | 1049.41i | 0.0126099 | − | 0.00222346i | ||||
\(688\) | −608353. | + | 477560.i | −1.28522 | + | 1.00891i | ||||
\(689\) | 271749. | − | 228024.i | 0.572438 | − | 0.480333i | ||||
\(690\) | −312742. | + | 195674.i | −0.656883 | + | 0.410993i | ||||
\(691\) | −406712. | − | 234815.i | −0.851787 | − | 0.491779i | 0.00946644 | − | 0.999955i | \(-0.496987\pi\) |
−0.861253 | + | 0.508176i | \(0.830320\pi\) | |||||||
\(692\) | 36976.9 | − | 16514.3i | 0.0772180 | − | 0.0344863i | ||||
\(693\) | −298439. | + | 108623.i | −0.621425 | + | 0.226180i | ||||
\(694\) | 8515.43 | − | 16037.5i | 0.0176802 | − | 0.0332979i | ||||
\(695\) | 118370. | − | 68340.7i | 0.245059 | − | 0.141485i | ||||
\(696\) | −175824. | + | 18787.2i | −0.362960 | + | 0.0387832i | ||||
\(697\) | −46440.5 | + | 263377.i | −0.0955942 | + | 0.542141i | ||||
\(698\) | 145170. | + | 20317.1i | 0.297966 | + | 0.0417013i | ||||
\(699\) | 196498. | − | 234177.i | 0.402164 | − | 0.479281i | ||||
\(700\) | 73876.5 | + | 1.03927e6i | 0.150768 | + | 2.12096i | ||||
\(701\) | −789547. | − | 287372.i | −1.60673 | − | 0.584801i | −0.625938 | − | 0.779873i | \(-0.715284\pi\) |
−0.980789 | + | 0.195072i | \(0.937506\pi\) | |||||||
\(702\) | −414107. | + | 373296.i | −0.840307 | + | 0.757493i | ||||
\(703\) | 66037.7 | − | 358528.i | 0.133623 | − | 0.725458i | ||||
\(704\) | 298318. | + | 95790.3i | 0.601914 | + | 0.193275i | ||||
\(705\) | −222690. | − | 81052.5i | −0.448046 | − | 0.163075i | ||||
\(706\) | −207656. | + | 266104.i | −0.416616 | + | 0.533878i | ||||
\(707\) | −133423. | + | 159007.i | −0.266926 | + | 0.318110i | ||||
\(708\) | 107853. | + | 159502.i | 0.215163 | + | 0.318200i | ||||
\(709\) | −133037. | + | 754488.i | −0.264654 | + | 1.50093i | 0.505364 | + | 0.862906i | \(0.331358\pi\) |
−0.770018 | + | 0.638022i | \(0.779753\pi\) | |||||||
\(710\) | −209167. | − | 981273.i | −0.414932 | − | 1.94658i | ||||
\(711\) | 341377. | − | 197094.i | 0.675298 | − | 0.389883i | ||||
\(712\) | −9857.88 | + | 14669.6i | −0.0194457 | + | 0.0289372i | ||||
\(713\) | −684918. | + | 249290.i | −1.34728 | + | 0.490371i | ||||
\(714\) | 57956.0 | − | 178721.i | 0.113685 | − | 0.350573i | ||||
\(715\) | −753441. | − | 434999.i | −1.47379 | − | 0.850896i | ||||
\(716\) | 189040. | − | 662142.i | 0.368747 | − | 1.29159i | ||||
\(717\) | −3581.90 | + | 3005.57i | −0.00696747 | + | 0.00584640i | ||||
\(718\) | −563384. | + | 19998.9i | −1.09284 | + | 0.0387932i | ||||
\(719\) | −505235. | + | 89086.5i | −0.977317 | + | 0.172327i | −0.639422 | − | 0.768856i | \(-0.720826\pi\) |
−0.337895 | + | 0.941184i | \(0.609715\pi\) | |||||||
\(720\) | 627356. | + | 390007.i | 1.21018 | + | 0.752329i | ||||
\(721\) | −155004. | −0.298176 | ||||||||
\(722\) | 10555.0 | + | 521177.i | 0.0202482 | + | 0.999795i | ||||
\(723\) | − | 182401.i | − | 0.348940i | ||||||
\(724\) | −136541. | + | 280772.i | −0.260488 | + | 0.535645i | ||||
\(725\) | −155426. | − | 881464.i | −0.295697 | − | 1.67698i | ||||
\(726\) | −118455. | + | 4204.88i | −0.224739 | + | 0.00797774i | ||||
\(727\) | −655488. | − | 781180.i | −1.24021 | − | 1.47803i | −0.821808 | − | 0.569765i | \(-0.807034\pi\) |
−0.418404 | − | 0.908261i | \(-0.637410\pi\) | |||||||
\(728\) | 940536. | − | 460744.i | 1.77465 | − | 0.869355i | ||||
\(729\) | −67436.8 | + | 116804.i | −0.126894 | + | 0.219787i | ||||
\(730\) | 491999. | − | 1.51719e6i | 0.923249 | − | 2.84705i | ||||
\(731\) | 241454. | + | 663390.i | 0.451856 | + | 1.24146i | ||||
\(732\) | −1391.31 | + | 348.596i | −0.00259658 | + | 0.000650579i | ||||
\(733\) | −115246. | − | 199613.i | −0.214496 | − | 0.371518i | 0.738621 | − | 0.674121i | \(-0.235478\pi\) |
−0.953117 | + | 0.302603i | \(0.902144\pi\) | |||||||
\(734\) | −64436.6 | − | 302294.i | −0.119603 | − | 0.561096i | ||||
\(735\) | −158760. | − | 27993.6i | −0.293877 | − | 0.0518184i | ||||
\(736\) | 229383. | − | 635919.i | 0.423453 | − | 1.17394i | ||||
\(737\) | −127902. | − | 107323.i | −0.235474 | − | 0.197586i | ||||
\(738\) | 196118. | − | 251318.i | 0.360084 | − | 0.461435i | ||||
\(739\) | −258871. | + | 711243.i | −0.474018 | + | 1.30235i | 0.440480 | + | 0.897762i | \(0.354808\pi\) |
−0.914498 | + | 0.404591i | \(0.867414\pi\) | |||||||
\(740\) | −69220.0 | + | 665966.i | −0.126406 | + | 1.21615i | ||||
\(741\) | 328505. | + | 60507.8i | 0.598282 | + | 0.110198i | ||||
\(742\) | 228957. | − | 206392.i | 0.415858 | − | 0.374874i | ||||
\(743\) | −101615. | + | 279185.i | −0.184069 | + | 0.505726i | −0.997066 | − | 0.0765419i | \(-0.975612\pi\) |
0.812997 | + | 0.582267i | \(0.197834\pi\) | |||||||
\(744\) | −171642. | − | 165180.i | −0.310082 | − | 0.298409i | ||||
\(745\) | 386444. | + | 324265.i | 0.696265 | + | 0.584236i | ||||
\(746\) | −697852. | − | 97666.7i | −1.25397 | − | 0.175497i | ||||
\(747\) | 287873. | + | 50759.9i | 0.515894 | + | 0.0909660i | ||||
\(748\) | 167839. | − | 231571.i | 0.299978 | − | 0.413887i | ||||
\(749\) | −118717. | − | 205624.i | −0.211617 | − | 0.366531i | ||||
\(750\) | 122422. | − | 230564.i | 0.217640 | − | 0.409891i | ||||
\(751\) | 117557. | + | 322984.i | 0.208433 | + | 0.572666i | 0.999223 | − | 0.0394225i | \(-0.0125518\pi\) |
−0.790789 | + | 0.612089i | \(0.790330\pi\) | |||||||
\(752\) | 412700. | − | 135147.i | 0.729792 | − | 0.238985i | ||||
\(753\) | −75247.7 | + | 130333.i | −0.132710 | + | 0.229860i | ||||
\(754\) | −762741. | + | 477225.i | −1.34163 | + | 0.839422i | ||||
\(755\) | 38565.0 | + | 45960.0i | 0.0676549 | + | 0.0806280i | ||||
\(756\) | −348102. | + | 336934.i | −0.609064 | + | 0.589524i | ||||
\(757\) | 64616.6 | + | 366459.i | 0.112759 | + | 0.639490i | 0.987835 | + | 0.155504i | \(0.0497002\pi\) |
−0.875076 | + | 0.483986i | \(0.839189\pi\) | |||||||
\(758\) | 198961. | − | 80519.0i | 0.346282 | − | 0.140139i | ||||
\(759\) | − | 170249.i | − | 0.295530i | ||||||
\(760\) | −94467.4 | − | 952725.i | −0.163552 | − | 1.64946i | ||||
\(761\) | −507063. | −0.875574 | −0.437787 | − | 0.899079i | \(-0.644238\pi\) | ||||
−0.437787 | + | 0.899079i | \(0.644238\pi\) | |||||||
\(762\) | 133418. | + | 329674.i | 0.229776 | + | 0.567774i | ||||
\(763\) | −144989. | + | 25565.4i | −0.249049 | + | 0.0439141i | ||||
\(764\) | −519051. | − | 536255.i | −0.889249 | − | 0.918723i | ||||
\(765\) | 516534. | − | 433423.i | 0.882624 | − | 0.740610i | ||||
\(766\) | 300565. | + | 480389.i | 0.512249 | + | 0.818720i | ||||
\(767\) | 848461. | + | 489859.i | 1.44225 | + | 0.832685i | ||||
\(768\) | 219621. | − | 24107.3i | 0.372350 | − | 0.0408720i | ||||
\(769\) | 987248. | − | 359329.i | 1.66945 | − | 0.607631i | 0.677646 | − | 0.735389i | \(-0.263000\pi\) |
0.991805 | + | 0.127758i | \(0.0407781\pi\) | |||||||
\(770\) | −667695. | − | 354526.i | −1.12615 | − | 0.597953i | ||||
\(771\) | −95495.7 | + | 55134.5i | −0.160648 | + | 0.0927501i | ||||
\(772\) | 947612. | + | 686813.i | 1.59000 | + | 1.15240i | ||||
\(773\) | −21922.6 | + | 124329.i | −0.0366888 | + | 0.208073i | −0.997641 | − | 0.0686402i | \(-0.978134\pi\) |
0.960953 | + | 0.276713i | \(0.0892450\pi\) | |||||||
\(774\) | 116633. | − | 833374.i | 0.194689 | − | 1.39110i | ||||
\(775\) | 775073. | − | 923697.i | 1.29044 | − | 1.53789i | ||||
\(776\) | 635083. | + | 611175.i | 1.05465 | + | 1.01494i | ||||
\(777\) | −190747. | − | 69426.3i | −0.315948 | − | 0.114996i | ||||
\(778\) | 324345. | + | 359804.i | 0.535856 | + | 0.594439i | ||||
\(779\) | −413148. | − | 3146.87i | −0.680818 | − | 0.00518565i | ||||
\(780\) | −610199. | − | 63423.6i | −1.00296 | − | 0.104246i | ||||
\(781\) | 435099. | + | 158363.i | 0.713322 | + | 0.259628i | ||||
\(782\) | −486480. | − | 379629.i | −0.795521 | − | 0.620791i | ||||
\(783\) | 267519. | − | 318817.i | 0.436346 | − | 0.520017i | ||||
\(784\) | 260513. | − | 139289.i | 0.423836 | − | 0.226612i | ||||
\(785\) | 26963.3 | − | 152916.i | 0.0437556 | − | 0.248150i | ||||
\(786\) | −382070. | + | 81441.6i | −0.618440 | + | 0.131826i | ||||
\(787\) | 243297. | − | 140468.i | 0.392814 | − | 0.226792i | −0.290564 | − | 0.956855i | \(-0.593843\pi\) |
0.683379 | + | 0.730064i | \(0.260510\pi\) | |||||||
\(788\) | 122563. | + | 489172.i | 0.197382 | + | 0.787788i | ||||
\(789\) | 162905. | − | 59292.5i | 0.261685 | − | 0.0952457i | ||||
\(790\) | 892549. | + | 289438.i | 1.43014 | + | 0.463769i | ||||
\(791\) | −277016. | − | 159935.i | −0.442743 | − | 0.255618i | ||||
\(792\) | −306144. | + | 149972.i | −0.488062 | + | 0.239089i | ||||
\(793\) | −5590.73 | + | 4691.18i | −0.00889042 | + | 0.00745995i | ||||
\(794\) | −30459.4 | − | 858067.i | −0.0483149 | − | 1.36107i | ||||
\(795\) | −177819. | + | 31354.4i | −0.281349 | + | 0.0496094i | ||||
\(796\) | 203704. | + | 99062.5i | 0.321494 | + | 0.156345i | ||||
\(797\) | 835261. | 1.31494 | 0.657469 | − | 0.753482i | \(-0.271627\pi\) | ||||
0.657469 | + | 0.753482i | \(0.271627\pi\) | |||||||
\(798\) | 287138. | + | 42418.2i | 0.450905 | + | 0.0666111i | ||||
\(799\) | − | 396397.i | − | 0.620922i | ||||||
\(800\) | 197375. | + | 1.10081e6i | 0.308399 | + | 1.72002i | ||||
\(801\) | −3339.27 | − | 18938.0i | −0.00520459 | − | 0.0295167i | ||||
\(802\) | −19289.4 | − | 543398.i | −0.0299896 | − | 0.844830i | ||||
\(803\) | 473134. | + | 563859.i | 0.733758 | + | 0.874458i | ||||
\(804\) | −113213. | − | 32322.1i | −0.175139 | − | 0.0500020i | ||||
\(805\) | −815557. | + | 1.41259e6i | −1.25853 | + | 2.17983i | ||||
\(806\) | −1.15298e6 | − | 373892.i | −1.77481 | − | 0.575541i | ||||
\(807\) | −16196.2 | − | 44498.7i | −0.0248695 | − | 0.0683283i | ||||
\(808\) | −124272. | + | 184929.i | −0.190348 | + | 0.283258i | ||||
\(809\) | 367353. | + | 636275.i | 0.561290 | + | 0.972182i | 0.997384 | + | 0.0722814i | \(0.0230280\pi\) |
−0.436095 | + | 0.899901i | \(0.643639\pi\) | |||||||
\(810\) | −636835. | + | 135747.i | −0.970637 | + | 0.206900i | ||||
\(811\) | −1.03782e6 | − | 182996.i | −1.57791 | − | 0.278228i | −0.685026 | − | 0.728519i | \(-0.740209\pi\) |
−0.892882 | + | 0.450291i | \(0.851320\pi\) | |||||||
\(812\) | −647651. | + | 437933.i | −0.982266 | + | 0.664195i | ||||
\(813\) | 56750.9 | + | 47619.7i | 0.0858602 | + | 0.0720453i | ||||
\(814\) | −243600. | − | 190095.i | −0.367644 | − | 0.286894i | ||||
\(815\) | −54589.2 | + | 149983.i | −0.0821848 | + | 0.225801i | ||||
\(816\) | 41475.6 | − | 197363.i | 0.0622891 | − | 0.296405i | ||||
\(817\) | −948634. | + | 538102.i | −1.42120 | + | 0.806159i | ||||
\(818\) | 574913. | + | 637766.i | 0.859202 | + | 0.953135i | ||||
\(819\) | −389743. | + | 1.07081e6i | −0.581046 | + | 1.59641i | ||||
\(820\) | 756906. | − | 53804.7i | 1.12568 | − | 0.0800189i | ||||
\(821\) | 500490. | + | 419961.i | 0.742522 | + | 0.623050i | 0.933514 | − | 0.358542i | \(-0.116726\pi\) |
−0.190992 | + | 0.981592i | \(0.561170\pi\) | |||||||
\(822\) | −12593.6 | + | 89984.5i | −0.0186383 | + | 0.133175i | ||||
\(823\) | −330313. | − | 58243.1i | −0.487670 | − | 0.0859894i | −0.0755937 | − | 0.997139i | \(-0.524085\pi\) |
−0.412076 | + | 0.911149i | \(0.635196\pi\) | |||||||
\(824\) | −165440. | + | 17677.7i | −0.243661 | + | 0.0260358i | ||||
\(825\) | 140824. | + | 243915.i | 0.206905 | + | 0.358369i | ||||
\(826\) | 751902. | + | 399238.i | 1.10205 | + | 0.585156i | ||||
\(827\) | −359439. | − | 987549.i | −0.525550 | − | 1.44394i | −0.864260 | − | 0.503045i | \(-0.832213\pi\) |
0.338711 | − | 0.940891i | \(-0.390009\pi\) | |||||||
\(828\) | 299946. | + | 671605.i | 0.437504 | + | 0.979609i | ||||
\(829\) | −311982. | + | 540368.i | −0.453963 | + | 0.786286i | −0.998628 | − | 0.0523672i | \(-0.983323\pi\) |
0.544665 | + | 0.838654i | \(0.316657\pi\) | |||||||
\(830\) | 369063. | + | 589868.i | 0.535728 | + | 0.856246i | ||||
\(831\) | −8257.58 | − | 9841.01i | −0.0119578 | − | 0.0142507i | ||||
\(832\) | 951314. | − | 599030.i | 1.37429 | − | 0.865370i | ||||
\(833\) | −46824.6 | − | 265556.i | −0.0674814 | − | 0.382706i | ||||
\(834\) | 16686.1 | + | 41231.0i | 0.0239895 | + | 0.0592778i | ||||
\(835\) | − | 331410.i | − | 0.475327i | ||||||
\(836\) | 395854. | + | 196249.i | 0.566399 | + | 0.280798i | ||||
\(837\) | 560673. | 0.800310 | ||||||||
\(838\) | 1.00041e6 | − | 404863.i | 1.42459 | − | 0.576527i | ||||
\(839\) | −9843.90 | + | 1735.75i | −0.0139844 | + | 0.00246582i | −0.180636 | − | 0.983550i | \(-0.557816\pi\) |
0.166652 | + | 0.986016i | \(0.446704\pi\) | |||||||
\(840\) | −531850. | − | 36266.8i | −0.753756 | − | 0.0513985i | ||||
\(841\) | −27303.7 | + | 22910.5i | −0.0386038 | + | 0.0323924i | ||||
\(842\) | −87131.2 | + | 54515.5i | −0.122899 | + | 0.0768946i | ||||
\(843\) | −84105.0 | − | 48558.0i | −0.118350 | − | 0.0683291i | ||||
\(844\) | −132175. | − | 295951.i | −0.185551 | − | 0.415466i | ||||
\(845\) | −1.82118e6 | + | 662855.i | −2.55058 | + | 0.928336i | ||||
\(846\) | −221584. | + | 417318.i | −0.309597 | + | 0.583078i | ||||
\(847\) | −453857. | + | 262034.i | −0.632633 | + | 0.365251i | ||||
\(848\) | 220833. | − | 246400.i | 0.307095 | − | 0.342649i | ||||
\(849\) | −59257.3 | + | 336065.i | −0.0822104 | + | 0.466238i | ||||
\(850\) | 1.01099e6 | + | 141492.i | 1.39930 | + | 0.195836i | ||||
\(851\) | −428539. | + | 510713.i | −0.591741 | + | 0.705209i | ||||
\(852\) | 325682. | − | 23151.1i | 0.448657 | − | 0.0318928i | ||||
\(853\) | 955679. | + | 347839.i | 1.31345 | + | 0.478057i | 0.901354 | − | 0.433082i | \(-0.142574\pi\) |
0.412098 | + | 0.911140i | \(0.364796\pi\) | |||||||
\(854\) | −4710.36 | + | 4246.15i | −0.00645860 | + | 0.00582210i | ||||
\(855\) | 792854. | + | 675641.i | 1.08458 | + | 0.924238i | ||||
\(856\) | −150161. | − | 205929.i | −0.204932 | − | 0.281041i | ||||
\(857\) | 124345. | + | 45257.9i | 0.169304 | + | 0.0616216i | 0.425281 | − | 0.905061i | \(-0.360175\pi\) |
−0.255978 | + | 0.966683i | \(0.582397\pi\) | |||||||
\(858\) | 174177. | − | 223201.i | 0.236600 | − | 0.303194i | ||||
\(859\) | 183890. | − | 219152.i | 0.249214 | − | 0.297002i | −0.626906 | − | 0.779095i | \(-0.715679\pi\) |
0.876120 | + | 0.482093i | \(0.160123\pi\) | |||||||
\(860\) | 1.65931e6 | − | 1.12201e6i | 2.24353 | − | 1.51705i | ||||
\(861\) | −39947.8 | + | 226555.i | −0.0538874 | + | 0.305610i | ||||
\(862\) | 33905.4 | + | 159062.i | 0.0456304 | + | 0.214067i | ||||
\(863\) | −106304. | + | 61374.7i | −0.142734 | + | 0.0824077i | −0.569666 | − | 0.821876i | \(-0.692928\pi\) |
0.426932 | + | 0.904284i | \(0.359594\pi\) | |||||||
\(864\) | −333112. | + | 399319.i | −0.446235 | + | 0.534924i | ||||
\(865\) | −98558.6 | + | 35872.4i | −0.131723 | + | 0.0479433i | ||||
\(866\) | 68522.9 | − | 211306.i | 0.0913692 | − | 0.281758i | ||||
\(867\) | 84424.1 | + | 48742.3i | 0.112313 | + | 0.0648437i | ||||
\(868\) | −1.01277e6 | − | 289145.i | −1.34423 | − | 0.383775i | ||||
\(869\) | −331713. | + | 278340.i | −0.439261 | + | 0.368584i | ||||
\(870\) | 457672. | − | 16246.3i | 0.604666 | − | 0.0214643i | ||||
\(871\) | −589974. | + | 104028.i | −0.777673 | + | 0.137125i | ||||
\(872\) | −151835. | + | 43822.1i | −0.199682 | + | 0.0576316i | ||||
\(873\) | −958997. | −1.25831 | ||||||||
\(874\) | 453462. | − | 838542.i | 0.593633 | − | 1.09775i | ||||
\(875\) | − | 1.15421e6i | − | 1.50754i | ||||||
\(876\) | 466774. | + | 226995.i | 0.608273 | + | 0.295807i | ||||
\(877\) | −226320. | − | 1.28352e6i | −0.294255 | − | 1.66880i | −0.670217 | − | 0.742165i | \(-0.733799\pi\) |
0.375962 | − | 0.926635i | \(-0.377312\pi\) | |||||||
\(878\) | 68718.2 | − | 2439.34i | 0.0891420 | − | 0.00316434i | ||||
\(879\) | −33913.8 | − | 40416.9i | −0.0438934 | − | 0.0523101i | ||||
\(880\) | −753082. | − | 302247.i | −0.972472 | − | 0.390299i | ||||
\(881\) | −205177. | + | 355376.i | −0.264348 | + | 0.457864i | −0.967393 | − | 0.253281i | \(-0.918490\pi\) |
0.703045 | + | 0.711146i | \(0.251823\pi\) | |||||||
\(882\) | −99148.1 | + | 305746.i | −0.127452 | + | 0.393028i | ||||
\(883\) | −115459. | − | 317220.i | −0.148083 | − | 0.406855i | 0.843368 | − | 0.537337i | \(-0.180570\pi\) |
−0.991451 | + | 0.130482i | \(0.958347\pi\) | |||||||
\(884\) | −249401. | − | 995404.i | −0.319149 | − | 1.27378i | ||||
\(885\) | −249337. | − | 431864.i | −0.318346 | − | 0.551392i | ||||
\(886\) | −29838.1 | − | 139981.i | −0.0380105 | − | 0.178320i | ||||
\(887\) | −781269. | − | 137759.i | −0.993009 | − | 0.175094i | −0.346541 | − | 0.938035i | \(-0.612644\pi\) |
−0.646469 | + | 0.762941i | \(0.723755\pi\) | |||||||
\(888\) | −211508. | − | 52346.6i | −0.268225 | − | 0.0663838i | ||||
\(889\) | 1.20458e6 | + | 1.01077e6i | 1.52417 | + | 1.27893i | ||||
\(890\) | 28160.7 | − | 36086.9i | 0.0355520 | − | 0.0455585i | ||||
\(891\) | 102776. | − | 282374.i | 0.129460 | − | 0.355688i | ||||
\(892\) | −302502. | − | 31441.8i | −0.380188 | − | 0.0395164i | ||||
\(893\) | 603871. | − | 101743.i | 0.757253 | − | 0.127585i | ||||
\(894\) | −121936. | + | 109919.i | −0.152565 | + | 0.137530i | ||||
\(895\) | −609962. | + | 1.67586e6i | −0.761477 | + | 2.09214i | ||||
\(896\) | 807652. | − | 549521.i | 1.00602 | − | 0.684492i | ||||
\(897\) | −467947. | − | 392654.i | −0.581583 | − | 0.488006i | ||||
\(898\) | −12798.2 | − | 1791.15i | −0.0158707 | − | 0.00222116i | ||||
\(899\) | 891065. | + | 157119.i | 1.10253 | + | 0.194406i | ||||
\(900\) | −985259. | − | 714099.i | −1.21637 | − | 0.881604i | ||||
\(901\) | −151013. | − | 261562.i | −0.186022 | − | 0.322199i | ||||
\(902\) | −164224. | + | 309291.i | −0.201848 | + | 0.380149i | ||||
\(903\) | 207697. | + | 570644.i | 0.254716 | + | 0.699825i | ||||
\(904\) | −313907. | − | 139111.i | −0.384117 | − | 0.170225i | ||||
\(905\) | 404301. | − | 700271.i | 0.493638 | − | 0.855005i | ||||
\(906\) | −16551.6 | + | 10355.8i | −0.0201643 | + | 0.0126162i | ||||
\(907\) | −818198. | − | 975090.i | −0.994589 | − | 1.18531i | −0.982668 | − | 0.185376i | \(-0.940650\pi\) |
−0.0119214 | − | 0.999929i | \(-0.503795\pi\) | |||||||
\(908\) | 40067.1 | + | 41395.1i | 0.0485977 | + | 0.0502085i | ||||
\(909\) | −42095.9 | − | 238738.i | −0.0509463 | − | 0.288931i | ||||
\(910\) | −2.51439e6 | + | 1.01756e6i | −3.03633 | + | 1.22879i | ||||
\(911\) | − | 939285.i | − | 1.13178i | −0.824482 | − | 0.565888i | \(-0.808533\pi\) | ||
0.824482 | − | 0.565888i | \(-0.191467\pi\) | |||||||
\(912\) | 311308. | + | 12527.0i | 0.374284 | + | 0.0150611i | ||||
\(913\) | −321110. | −0.385223 | ||||||||
\(914\) | −276462. | − | 683134.i | −0.330935 | − | 0.817736i | ||||
\(915\) | 3658.31 | − | 645.059i | 0.00436957 | − | 0.000770473i | ||||
\(916\) | 20608.6 | − | 19947.5i | 0.0245617 | − | 0.0237737i | ||||
\(917\) | −1.32315e6 | + | 1.11025e6i | −1.57351 | + | 1.32033i | ||||
\(918\) | 251770. | + | 402400.i | 0.298758 | + | 0.477500i | ||||
\(919\) | 486006. | + | 280596.i | 0.575454 | + | 0.332239i | 0.759325 | − | 0.650712i | \(-0.225529\pi\) |
−0.183871 | + | 0.982950i | \(0.558863\pi\) | |||||||
\(920\) | −709366. | + | 1.60070e6i | −0.838098 | + | 1.89119i | ||||
\(921\) | 497651. | − | 181130.i | 0.586685 | − | 0.213536i | ||||
\(922\) | 1.29867e6 | + | 689554.i | 1.52769 | + | 0.811160i | ||||
\(923\) | 1.43876e6 | − | 830670.i | 1.68883 | − | 0.975047i | ||||
\(924\) | 144374. | − | 199196.i | 0.169101 | − | 0.233312i | ||||
\(925\) | 191521. | − | 1.08617e6i | 0.223837 | − | 1.26944i | ||||
\(926\) | 106695. | − | 762360.i | 0.124429 | − | 0.889075i | ||||
\(927\) | 116364. | − | 138677.i | 0.135412 | − | 0.161378i | ||||
\(928\) | −641311. | + | 541280.i | −0.744685 | + | 0.628530i | ||||
\(929\) | 1.19192e6 | + | 433824.i | 1.38107 | + | 0.502669i | 0.922503 | − | 0.385990i | \(-0.126140\pi\) |
0.458569 | + | 0.888659i | \(0.348362\pi\) | |||||||
\(930\) | 413084. | + | 458245.i | 0.477609 | + | 0.529824i | ||||
\(931\) | 392529. | − | 139492.i | 0.452868 | − | 0.160935i | ||||
\(932\) | 149990. | − | 1.44305e6i | 0.172675 | − | 1.66131i | ||||
\(933\) | −352169. | − | 128179.i | −0.404565 | − | 0.147249i | ||||
\(934\) | 1.31373e6 | + | 1.02518e6i | 1.50595 | + | 1.17518i | ||||
\(935\) | −476120. | + | 567417.i | −0.544619 | + | 0.649052i | ||||
\(936\) | −293861. | + | 1.18735e6i | −0.335421 | + | 1.35528i | ||||
\(937\) | 140484. | − | 796724.i | 0.160010 | − | 0.907463i | −0.794051 | − | 0.607851i | \(-0.792032\pi\) |
0.954061 | − | 0.299612i | \(-0.0968571\pi\) | |||||||
\(938\) | −509125. | + | 108525.i | −0.578654 | + | 0.123345i | ||||
\(939\) | −206594. | + | 119277.i | −0.234308 | + | 0.135278i | ||||
\(940\) | −1.09099e6 | + | 273349.i | −1.23471 | + | 0.309359i | ||||
\(941\) | −1.06239e6 | + | 386677.i | −1.19978 | + | 0.436685i | −0.863149 | − | 0.504950i | \(-0.831511\pi\) |
−0.336634 | + | 0.941635i | \(0.609289\pi\) | |||||||
\(942\) | 48066.2 | + | 15587.0i | 0.0541674 | + | 0.0175655i | ||||
\(943\) | 654341. | + | 377784.i | 0.735836 | + | 0.424835i | ||||
\(944\) | 848057. | + | 340366.i | 0.951659 | + | 0.381946i | ||||
\(945\) | 961159. | − | 806508.i | 1.07630 | − | 0.903119i | ||||
\(946\) | 32793.2 | + | 923809.i | 0.0366438 | + | 1.03229i | ||||
\(947\) | −1.12230e6 | + | 197892.i | −1.25144 | + | 0.220662i | −0.759810 | − | 0.650145i | \(-0.774708\pi\) |
−0.491626 | + | 0.870807i | \(0.663597\pi\) | |||||||
\(948\) | −133539. | + | 274599.i | −0.148591 | + | 0.305550i | ||||
\(949\) | 2.64103e6 | 2.93252 | ||||||||
\(950\) | 43941.4 | + | 1.57646e6i | 0.0486885 | + | 1.74677i | ||||
\(951\) | 501771.i | 0.554810i | ||||||||
\(952\) | −247264. | − | 856718.i | −0.272826 | − | 0.945288i | ||||
\(953\) | −98829.4 | − | 560489.i | −0.108818 | − | 0.617137i | −0.989626 | − | 0.143664i | \(-0.954111\pi\) |
0.880809 | − | 0.473472i | \(-0.157000\pi\) | |||||||
\(954\) | 12771.4 | + | 359782.i | 0.0140328 | + | 0.395314i | ||||
\(955\) | 1.24243e6 | + | 1.48068e6i | 1.36228 | + | 1.62350i | ||||
\(956\) | −6092.19 | + | 21338.8i | −0.00666588 | + | 0.0233482i | ||||
\(957\) | −105672. | + | 183030.i | −0.115382 | + | 0.199847i | ||||
\(958\) | −906447. | − | 293945.i | −0.987669 | − | 0.320284i | ||||
\(959\) | 137402. | + | 377510.i | 0.149402 | + | 0.410479i | ||||
\(960\) | −571795. | + | 21947.2i | −0.620437 | + | 0.0238142i | ||||
\(961\) | 147707. | + | 255835.i | 0.159939 | + | 0.277022i | ||||
\(962\) | −1.08432e6 | + | 231132.i | −1.17167 | + | 0.249753i | ||||
\(963\) | 273088. | + | 48152.8i | 0.294476 | + | 0.0519241i | ||||
\(964\) | −484904. | − | 717115.i | −0.521797 | − | 0.771676i | ||||
\(965\) | −2.32193e6 | − | 1.94833e6i | −2.49341 | − | 2.09222i | ||||
\(966\) | −418467. | − | 326554.i | −0.448443 | − | 0.349946i | ||||
\(967\) | 106407. | − | 292351.i | 0.113793 | − | 0.312645i | −0.869702 | − | 0.493577i | \(-0.835689\pi\) |
0.983496 | + | 0.180932i | \(0.0579114\pi\) | |||||||
\(968\) | −454530. | + | 331437.i | −0.485078 | + | 0.353713i | ||||
\(969\) | 99300.4 | − | 266492.i | 0.105756 | − | 0.283816i | ||||
\(970\) | −1.52843e6 | − | 1.69553e6i | −1.62444 | − | 1.80203i | ||||
\(971\) | 102816. | − | 282485.i | 0.109049 | − | 0.299610i | −0.873150 | − | 0.487451i | \(-0.837927\pi\) |
0.982199 | + | 0.187841i | \(0.0601490\pi\) | |||||||
\(972\) | −61691.6 | − | 867856.i | −0.0652970 | − | 0.918576i | ||||
\(973\) | 150652. | + | 126412.i | 0.159129 | + | 0.133525i | ||||
\(974\) | 123058. | − | 879281.i | 0.129716 | − | 0.926851i | ||||
\(975\) | 995214. | + | 175483.i | 1.04691 | + | 0.184598i | ||||
\(976\) | −4543.24 | + | 5069.23i | −0.00476943 | + | 0.00532160i | ||||
\(977\) | 336990. | + | 583684.i | 0.353044 | + | 0.611489i | 0.986781 | − | 0.162059i | \(-0.0518134\pi\) |
−0.633738 | + | 0.773548i | \(0.718480\pi\) | |||||||
\(978\) | −45874.6 | − | 24358.1i | −0.0479617 | − | 0.0254663i | ||||
\(979\) | 7224.99 | + | 19850.5i | 0.00753827 | + | 0.0207112i | ||||
\(980\) | −698587. | + | 311996.i | −0.727392 | + | 0.324861i | ||||
\(981\) | 85972.5 | − | 148909.i | 0.0893350 | − | 0.154733i | ||||
\(982\) | 215176. | + | 343912.i | 0.223137 | + | 0.356636i | ||||
\(983\) | −878154. | − | 1.04654e6i | −0.908791 | − | 1.08305i | −0.996218 | − | 0.0868836i | \(-0.972309\pi\) |
0.0874278 | − | 0.996171i | \(-0.472135\pi\) | |||||||
\(984\) | −16799.6 | + | 246365.i | −0.0173503 | + | 0.254442i | ||||
\(985\) | −226797. | − | 1.28623e6i | −0.233758 | − | 1.32570i | ||||
\(986\) | 287367. | + | 710081.i | 0.295586 | + | 0.730389i | ||||
\(987\) | − | 340978.i | − | 0.350020i | ||||||
\(988\) | 1.45238e6 | − | 635426.i | 1.48788 | − | 0.650955i | ||||
\(989\) | 1.99448e6 | 2.03909 | ||||||||
\(990\) | 818431. | − | 331216.i | 0.835049 | − | 0.337942i | ||||
\(991\) | −187692. | + | 33095.2i | −0.191117 | + | 0.0336991i | −0.268387 | − | 0.963311i | \(-0.586491\pi\) |
0.0772703 | + | 0.997010i | \(0.475380\pi\) | |||||||
\(992\) | −1.11394e6 | − | 193109.i | −1.13198 | − | 0.196237i | ||||
\(993\) | −315778. | + | 264969.i | −0.320245 | + | 0.268718i | ||||
\(994\) | 1.22381e6 | − | 765703.i | 1.23863 | − | 0.774975i | ||||
\(995\) | −508055. | − | 293326.i | −0.513174 | − | 0.296281i | ||||
\(996\) | −206751. | + | 92337.1i | −0.208415 | + | 0.0930803i | ||||
\(997\) | 365729. | − | 133115.i | 0.367934 | − | 0.133917i | −0.151435 | − | 0.988467i | \(-0.548389\pi\) |
0.519369 | + | 0.854550i | \(0.326167\pi\) | |||||||
\(998\) | 452970. | − | 853098.i | 0.454787 | − | 0.856521i | ||||
\(999\) | 444130. | − | 256419.i | 0.445020 | − | 0.256932i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 76.5.l.a.23.14 | yes | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.7 | ✓ | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.7 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.14 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.7 | ✓ | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.23.14 | yes | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.43.7 | yes | 228 | 19.5 | even | 9 | inner | |
76.5.l.a.43.14 | yes | 228 | 76.43 | odd | 18 | inner |