Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,4,Mod(4,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.u (of order \(30\), degree \(8\), 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: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(704\) |
Relative dimension: | \(88\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 169.12 | ||
Character | \(\chi\) | \(=\) | 225.169 |
Dual form | 225.4.u.a.4.12 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.922831 | + | 4.34158i | −0.326270 | + | 1.53498i | 0.443274 | + | 0.896386i | \(0.353817\pi\) |
−0.769544 | + | 0.638594i | \(0.779517\pi\) | |||||||
\(3\) | 4.70291 | + | 2.20967i | 0.905075 | + | 0.425252i | ||||
\(4\) | −10.6893 | − | 4.75919i | −1.33616 | − | 0.594899i | ||||
\(5\) | 1.62060 | − | 11.0623i | 0.144951 | − | 0.989439i | ||||
\(6\) | −13.9335 | + | 18.3789i | −0.948052 | + | 1.25052i | ||||
\(7\) | 8.42574 | + | 4.86461i | 0.454947 | + | 0.262664i | 0.709917 | − | 0.704285i | \(-0.248732\pi\) |
−0.254970 | + | 0.966949i | \(0.582066\pi\) | |||||||
\(8\) | 9.65541 | − | 13.2895i | 0.426713 | − | 0.587320i | ||||
\(9\) | 17.2347 | + | 20.7838i | 0.638322 | + | 0.769770i | ||||
\(10\) | 46.5321 | + | 17.2446i | 1.47148 | + | 0.545321i | ||||
\(11\) | 36.6712 | + | 7.79470i | 1.00516 | + | 0.213654i | 0.680949 | − | 0.732331i | \(-0.261567\pi\) |
0.324212 | + | 0.945984i | \(0.394901\pi\) | |||||||
\(12\) | −39.7546 | − | 46.0019i | −0.956347 | − | 1.10663i | ||||
\(13\) | 4.83473 | + | 22.7456i | 0.103147 | + | 0.485269i | 0.999150 | + | 0.0412211i | \(0.0131248\pi\) |
−0.896003 | + | 0.444048i | \(0.853542\pi\) | |||||||
\(14\) | −28.8956 | + | 32.0918i | −0.551620 | + | 0.612636i | ||||
\(15\) | 32.0655 | − | 48.4438i | 0.551952 | − | 0.833876i | ||||
\(16\) | −13.8483 | − | 15.3801i | −0.216379 | − | 0.240314i | ||||
\(17\) | −74.2628 | + | 102.214i | −1.05949 | + | 1.45827i | −0.179215 | + | 0.983810i | \(0.557356\pi\) |
−0.880278 | + | 0.474457i | \(0.842644\pi\) | |||||||
\(18\) | −106.139 | + | 55.6458i | −1.38985 | + | 0.728658i | ||||
\(19\) | 6.89709 | + | 5.01103i | 0.0832790 | + | 0.0605058i | 0.628646 | − | 0.777692i | \(-0.283610\pi\) |
−0.545367 | + | 0.838198i | \(0.683610\pi\) | |||||||
\(20\) | −69.9705 | + | 110.535i | −0.782294 | + | 1.23582i | ||||
\(21\) | 28.8763 | + | 41.4959i | 0.300063 | + | 0.431198i | ||||
\(22\) | −67.6826 | + | 152.018i | −0.655908 | + | 1.47319i | ||||
\(23\) | 129.216 | + | 116.346i | 1.17145 | + | 1.05478i | 0.997546 | + | 0.0700132i | \(0.0223041\pi\) |
0.173902 | + | 0.984763i | \(0.444363\pi\) | |||||||
\(24\) | 74.7741 | − | 41.1642i | 0.635966 | − | 0.350108i | ||||
\(25\) | −119.747 | − | 35.8550i | −0.957978 | − | 0.286840i | ||||
\(26\) | −103.214 | −0.778532 | ||||||||
\(27\) | 35.1278 | + | 135.827i | 0.250383 | + | 0.968147i | ||||
\(28\) | −66.9139 | − | 92.0990i | −0.451626 | − | 0.621610i | ||||
\(29\) | −20.1627 | − | 191.835i | −0.129107 | − | 1.22838i | −0.846760 | − | 0.531974i | \(-0.821450\pi\) |
0.717653 | − | 0.696401i | \(-0.245216\pi\) | |||||||
\(30\) | 180.731 | + | 183.920i | 1.09990 | + | 1.11930i | ||||
\(31\) | −23.2683 | + | 221.383i | −0.134810 | + | 1.28263i | 0.692719 | + | 0.721207i | \(0.256412\pi\) |
−0.827529 | + | 0.561423i | \(0.810254\pi\) | |||||||
\(32\) | 193.361 | − | 111.637i | 1.06818 | − | 0.616714i | ||||
\(33\) | 155.237 | + | 117.689i | 0.818890 | + | 0.620820i | ||||
\(34\) | −375.238 | − | 416.744i | −1.89273 | − | 2.10209i | ||||
\(35\) | 67.4683 | − | 85.3242i | 0.325835 | − | 0.412069i | ||||
\(36\) | −85.3130 | − | 304.188i | −0.394968 | − | 1.40828i | ||||
\(37\) | −165.146 | − | 53.6593i | −0.733781 | − | 0.238420i | −0.0817932 | − | 0.996649i | \(-0.526065\pi\) |
−0.651988 | + | 0.758229i | \(0.726065\pi\) | |||||||
\(38\) | −28.1206 | + | 25.3199i | −0.120047 | + | 0.108090i | ||||
\(39\) | −27.5231 | + | 117.654i | −0.113006 | + | 0.483069i | ||||
\(40\) | −131.365 | − | 128.348i | −0.519265 | − | 0.507339i | ||||
\(41\) | 315.398 | − | 67.0400i | 1.20139 | − | 0.255363i | 0.436607 | − | 0.899652i | \(-0.356180\pi\) |
0.764782 | + | 0.644289i | \(0.222847\pi\) | |||||||
\(42\) | −206.806 | + | 87.0750i | −0.759782 | + | 0.319904i | ||||
\(43\) | 260.770 | + | 150.555i | 0.924814 | + | 0.533942i | 0.885168 | − | 0.465272i | \(-0.154044\pi\) |
0.0396463 | + | 0.999214i | \(0.487377\pi\) | |||||||
\(44\) | −354.893 | − | 257.845i | −1.21596 | − | 0.883446i | ||||
\(45\) | 257.846 | − | 156.972i | 0.854165 | − | 0.520001i | ||||
\(46\) | −624.370 | + | 453.631i | −2.00127 | + | 1.45401i | ||||
\(47\) | 169.359 | − | 17.8003i | 0.525606 | − | 0.0552434i | 0.161990 | − | 0.986792i | \(-0.448209\pi\) |
0.363616 | + | 0.931549i | \(0.381542\pi\) | |||||||
\(48\) | −31.1422 | − | 102.931i | −0.0936457 | − | 0.309517i | ||||
\(49\) | −124.171 | − | 215.071i | −0.362015 | − | 0.627029i | ||||
\(50\) | 266.174 | − | 486.804i | 0.752854 | − | 1.37689i | ||||
\(51\) | −575.111 | + | 316.607i | −1.57905 | + | 0.869290i | ||||
\(52\) | 56.5708 | − | 266.145i | 0.150865 | − | 0.709762i | ||||
\(53\) | −134.382 | − | 184.961i | −0.348279 | − | 0.479365i | 0.598557 | − | 0.801080i | \(-0.295741\pi\) |
−0.946837 | + | 0.321715i | \(0.895741\pi\) | |||||||
\(54\) | −622.122 | + | 27.1643i | −1.56778 | + | 0.0684555i | ||||
\(55\) | 145.656 | − | 393.034i | 0.357097 | − | 0.963577i | ||||
\(56\) | 146.002 | − | 65.0045i | 0.348400 | − | 0.155118i | ||||
\(57\) | 21.3636 | + | 38.8067i | 0.0496436 | + | 0.0901768i | ||||
\(58\) | 851.474 | + | 89.4935i | 1.92765 | + | 0.202605i | ||||
\(59\) | 135.143 | − | 28.7255i | 0.298205 | − | 0.0633854i | −0.0563796 | − | 0.998409i | \(-0.517956\pi\) |
0.354584 | + | 0.935024i | \(0.384622\pi\) | |||||||
\(60\) | −573.312 | + | 365.225i | −1.23357 | + | 0.785839i | ||||
\(61\) | −791.237 | − | 168.183i | −1.66078 | − | 0.353010i | −0.720511 | − | 0.693443i | \(-0.756093\pi\) |
−0.940269 | + | 0.340434i | \(0.889426\pi\) | |||||||
\(62\) | −939.678 | − | 305.320i | −1.92483 | − | 0.625414i | ||||
\(63\) | 44.1101 | + | 258.959i | 0.0882120 | + | 0.517869i | ||||
\(64\) | 255.079 | + | 785.052i | 0.498201 | + | 1.53330i | ||||
\(65\) | 259.453 | − | 16.6215i | 0.495096 | − | 0.0317175i | ||||
\(66\) | −654.214 | + | 565.368i | −1.22012 | + | 1.05442i | ||||
\(67\) | −397.576 | − | 41.7869i | −0.724949 | − | 0.0761952i | −0.265136 | − | 0.964211i | \(-0.585417\pi\) |
−0.459813 | + | 0.888016i | \(0.652084\pi\) | |||||||
\(68\) | 1280.28 | − | 739.167i | 2.28318 | − | 1.31819i | ||||
\(69\) | 350.602 | + | 832.689i | 0.611702 | + | 1.45281i | ||||
\(70\) | 308.180 | + | 371.659i | 0.526208 | + | 0.634596i | ||||
\(71\) | 719.309 | − | 522.609i | 1.20234 | − | 0.873553i | 0.207829 | − | 0.978165i | \(-0.433360\pi\) |
0.994513 | + | 0.104612i | \(0.0333602\pi\) | |||||||
\(72\) | 442.615 | − | 28.3650i | 0.724481 | − | 0.0464284i | ||||
\(73\) | 229.443 | − | 74.5504i | 0.367866 | − | 0.119527i | −0.119250 | − | 0.992864i | \(-0.538049\pi\) |
0.487116 | + | 0.873337i | \(0.338049\pi\) | |||||||
\(74\) | 385.368 | − | 667.477i | 0.605380 | − | 1.04855i | ||||
\(75\) | −483.933 | − | 433.225i | −0.745063 | − | 0.666994i | ||||
\(76\) | −49.8768 | − | 86.3891i | −0.0752797 | − | 0.130388i | ||||
\(77\) | 271.064 | + | 244.067i | 0.401177 | + | 0.361221i | ||||
\(78\) | −485.404 | − | 228.068i | −0.704630 | − | 0.331072i | ||||
\(79\) | 13.4488 | + | 127.956i | 0.0191532 | + | 0.182231i | 0.999916 | − | 0.0129736i | \(-0.00412973\pi\) |
−0.980763 | + | 0.195204i | \(0.937463\pi\) | |||||||
\(80\) | −192.581 | + | 128.268i | −0.269140 | + | 0.179260i | ||||
\(81\) | −134.931 | + | 716.404i | −0.185091 | + | 0.982721i | ||||
\(82\) | 1431.19i | 1.92742i | ||||||||
\(83\) | 289.835 | + | 650.980i | 0.383296 | + | 0.860896i | 0.997427 | + | 0.0716922i | \(0.0228399\pi\) |
−0.614131 | + | 0.789204i | \(0.710493\pi\) | |||||||
\(84\) | −111.181 | − | 580.991i | −0.144415 | − | 0.754659i | ||||
\(85\) | 1010.37 | + | 987.163i | 1.28929 | + | 1.25968i | ||||
\(86\) | −894.294 | + | 993.215i | −1.12133 | + | 1.24536i | ||||
\(87\) | 329.070 | − | 946.736i | 0.405517 | − | 1.16667i | ||||
\(88\) | 457.663 | − | 412.082i | 0.554399 | − | 0.499183i | ||||
\(89\) | −98.0578 | − | 301.791i | −0.116788 | − | 0.359436i | 0.875528 | − | 0.483167i | \(-0.160514\pi\) |
−0.992316 | + | 0.123732i | \(0.960514\pi\) | |||||||
\(90\) | 443.559 | + | 1264.32i | 0.519503 | + | 1.48079i | ||||
\(91\) | −69.9123 | + | 215.168i | −0.0805363 | + | 0.247865i | ||||
\(92\) | −827.512 | − | 1858.62i | −0.937762 | − | 2.10625i | ||||
\(93\) | −598.612 | + | 989.728i | −0.667454 | + | 1.10355i | ||||
\(94\) | −79.0079 | + | 751.710i | −0.0866920 | + | 0.824819i | ||||
\(95\) | 66.6108 | − | 68.1766i | 0.0719381 | − | 0.0736291i | ||||
\(96\) | 1156.04 | − | 97.7541i | 1.22904 | − | 0.103927i | ||||
\(97\) | −733.099 | + | 77.0518i | −0.767370 | + | 0.0806539i | −0.480121 | − | 0.877202i | \(-0.659407\pi\) |
−0.287249 | + | 0.957856i | \(0.592741\pi\) | |||||||
\(98\) | 1048.34 | − | 340.625i | 1.08059 | − | 0.351105i | ||||
\(99\) | 470.013 | + | 896.505i | 0.477152 | + | 0.910123i | ||||
\(100\) | 1109.38 | + | 953.166i | 1.10938 | + | 0.953166i | ||||
\(101\) | 751.878 | − | 1302.29i | 0.740739 | − | 1.28300i | −0.211420 | − | 0.977395i | \(-0.567809\pi\) |
0.952159 | − | 0.305602i | \(-0.0988577\pi\) | |||||||
\(102\) | −843.842 | − | 2789.06i | −0.819145 | − | 2.70744i | ||||
\(103\) | 824.494 | − | 1851.84i | 0.788736 | − | 1.77153i | 0.170794 | − | 0.985307i | \(-0.445367\pi\) |
0.617942 | − | 0.786224i | \(-0.287967\pi\) | |||||||
\(104\) | 348.960 | + | 155.367i | 0.329023 | + | 0.146490i | ||||
\(105\) | 505.836 | − | 252.189i | 0.470138 | − | 0.234392i | ||||
\(106\) | 927.035 | − | 412.742i | 0.849449 | − | 0.378199i | ||||
\(107\) | − | 424.405i | − | 0.383447i | −0.981449 | − | 0.191723i | \(-0.938592\pi\) | ||
0.981449 | − | 0.191723i | \(-0.0614077\pi\) | |||||||
\(108\) | 270.936 | − | 1619.08i | 0.241397 | − | 1.44256i | ||||
\(109\) | −236.051 | + | 726.491i | −0.207428 | + | 0.638396i | 0.792177 | + | 0.610291i | \(0.208947\pi\) |
−0.999605 | + | 0.0281054i | \(0.991053\pi\) | |||||||
\(110\) | 1571.97 | + | 995.083i | 1.36256 | + | 0.862522i | ||||
\(111\) | −658.099 | − | 617.274i | −0.562738 | − | 0.527830i | ||||
\(112\) | −41.8641 | − | 196.955i | −0.0353195 | − | 0.166165i | ||||
\(113\) | 174.632 | + | 821.580i | 0.145381 | + | 0.683962i | 0.989108 | + | 0.147190i | \(0.0470230\pi\) |
−0.843728 | + | 0.536772i | \(0.819644\pi\) | |||||||
\(114\) | −188.198 | + | 56.9399i | −0.154617 | + | 0.0467799i | ||||
\(115\) | 1496.46 | − | 1240.87i | 1.21344 | − | 1.00618i | ||||
\(116\) | −697.454 | + | 2146.54i | −0.558250 | + | 1.71812i | ||||
\(117\) | −389.415 | + | 492.498i | −0.307705 | + | 0.389158i | ||||
\(118\) | 613.241i | 0.478419i | ||||||||
\(119\) | −1122.95 | + | 499.970i | −0.865048 | + | 0.385144i | ||||
\(120\) | −334.190 | − | 893.881i | −0.254227 | − | 0.679998i | ||||
\(121\) | 68.0895 | + | 30.3154i | 0.0511566 | + | 0.0227764i | ||||
\(122\) | 1460.36 | − | 3280.01i | 1.08373 | − | 2.43409i | ||||
\(123\) | 1631.43 | + | 381.644i | 1.19594 | + | 0.279770i | ||||
\(124\) | 1302.33 | − | 2255.69i | 0.943163 | − | 1.63361i | ||||
\(125\) | −590.701 | + | 1266.57i | −0.422671 | + | 0.906283i | ||||
\(126\) | −1165.00 | − | 47.4676i | −0.823699 | − | 0.0335615i | ||||
\(127\) | 1325.14 | − | 430.564i | 0.925883 | − | 0.300838i | 0.193005 | − | 0.981198i | \(-0.438177\pi\) |
0.732878 | + | 0.680360i | \(0.238177\pi\) | |||||||
\(128\) | −1867.35 | + | 196.266i | −1.28947 | + | 0.135528i | ||||
\(129\) | 893.697 | + | 1284.26i | 0.609966 | + | 0.876536i | ||||
\(130\) | −167.268 | + | 1141.78i | −0.112849 | + | 0.770310i | ||||
\(131\) | −95.2331 | + | 906.082i | −0.0635157 | + | 0.604311i | 0.915752 | + | 0.401743i | \(0.131595\pi\) |
−0.979268 | + | 0.202568i | \(0.935071\pi\) | |||||||
\(132\) | −1099.28 | − | 1996.82i | −0.724847 | − | 1.31667i | ||||
\(133\) | 33.7365 | + | 75.7733i | 0.0219949 | + | 0.0494013i | ||||
\(134\) | 548.316 | − | 1687.54i | 0.353487 | − | 1.08792i | ||||
\(135\) | 1559.48 | − | 168.471i | 0.994215 | − | 0.107405i | ||||
\(136\) | 641.339 | + | 1973.84i | 0.404370 | + | 1.24452i | ||||
\(137\) | −274.548 | + | 247.204i | −0.171213 | + | 0.154161i | −0.750283 | − | 0.661117i | \(-0.770083\pi\) |
0.579069 | + | 0.815278i | \(0.303416\pi\) | |||||||
\(138\) | −3938.73 | + | 753.733i | −2.42962 | + | 0.464942i | ||||
\(139\) | −91.9700 | + | 102.143i | −0.0561208 | + | 0.0623285i | −0.770552 | − | 0.637378i | \(-0.780019\pi\) |
0.714431 | + | 0.699706i | \(0.246686\pi\) | |||||||
\(140\) | −1127.26 | + | 590.963i | −0.680509 | + | 0.356753i | ||||
\(141\) | 835.811 | + | 290.514i | 0.499205 | + | 0.173516i | ||||
\(142\) | 1605.15 | + | 3605.22i | 0.948597 | + | 2.13058i | ||||
\(143\) | 871.794i | 0.509812i | ||||||||
\(144\) | 80.9853 | − | 552.890i | 0.0468665 | − | 0.319960i | ||||
\(145\) | −2154.81 | − | 87.8434i | −1.23412 | − | 0.0503103i | ||||
\(146\) | 111.930 | + | 1064.94i | 0.0634477 | + | 0.603665i | ||||
\(147\) | −108.729 | − | 1285.84i | −0.0610058 | − | 0.721456i | ||||
\(148\) | 1509.93 | + | 1359.54i | 0.838617 | + | 0.755094i | ||||
\(149\) | 102.446 | + | 177.441i | 0.0563266 | + | 0.0975606i | 0.892814 | − | 0.450426i | \(-0.148728\pi\) |
−0.836487 | + | 0.547986i | \(0.815395\pi\) | |||||||
\(150\) | 2327.47 | − | 1701.24i | 1.26691 | − | 0.926036i | ||||
\(151\) | 218.597 | − | 378.620i | 0.117809 | − | 0.204051i | −0.801090 | − | 0.598544i | \(-0.795746\pi\) |
0.918899 | + | 0.394493i | \(0.129080\pi\) | |||||||
\(152\) | 133.189 | − | 43.2756i | 0.0710725 | − | 0.0230929i | ||||
\(153\) | −3404.29 | + | 218.164i | −1.79883 | + | 0.115278i | ||||
\(154\) | −1309.78 | + | 951.612i | −0.685359 | + | 0.497942i | ||||
\(155\) | 2411.29 | + | 616.173i | 1.24954 | + | 0.319305i | ||||
\(156\) | 854.140 | − | 1126.65i | 0.438371 | − | 0.578232i | ||||
\(157\) | −321.242 | + | 185.469i | −0.163299 | + | 0.0942806i | −0.579422 | − | 0.815028i | \(-0.696722\pi\) |
0.416123 | + | 0.909308i | \(0.363388\pi\) | |||||||
\(158\) | −567.943 | − | 59.6932i | −0.285969 | − | 0.0300566i | ||||
\(159\) | −223.283 | − | 1166.80i | −0.111368 | − | 0.581968i | ||||
\(160\) | −921.599 | − | 2319.93i | −0.455367 | − | 1.14629i | ||||
\(161\) | 522.759 | + | 1608.89i | 0.255895 | + | 0.787565i | ||||
\(162\) | −2985.80 | − | 1246.93i | −1.44807 | − | 0.604743i | ||||
\(163\) | −1624.35 | − | 527.784i | −0.780546 | − | 0.253615i | −0.108473 | − | 0.994099i | \(-0.534596\pi\) |
−0.672073 | + | 0.740484i | \(0.734596\pi\) | |||||||
\(164\) | −3690.45 | − | 784.429i | −1.75717 | − | 0.373498i | ||||
\(165\) | 1553.49 | − | 1526.55i | 0.732962 | − | 0.720253i | ||||
\(166\) | −3093.75 | + | 657.597i | −1.44652 | + | 0.307466i | ||||
\(167\) | −38.5514 | − | 4.05192i | −0.0178635 | − | 0.00187753i | 0.0955925 | − | 0.995421i | \(-0.469525\pi\) |
−0.113456 | + | 0.993543i | \(0.536192\pi\) | |||||||
\(168\) | 830.275 | + | 16.9077i | 0.381292 | + | 0.00776462i | ||||
\(169\) | 1513.07 | − | 673.662i | 0.688698 | − | 0.306628i | ||||
\(170\) | −5218.25 | + | 3475.61i | −2.35424 | + | 1.56804i | ||||
\(171\) | 14.7210 | + | 229.711i | 0.00658331 | + | 0.102728i | ||||
\(172\) | −2070.93 | − | 2850.39i | −0.918062 | − | 1.26360i | ||||
\(173\) | 655.951 | − | 3086.01i | 0.288272 | − | 1.35621i | −0.560807 | − | 0.827946i | \(-0.689509\pi\) |
0.849079 | − | 0.528266i | \(-0.177158\pi\) | |||||||
\(174\) | 3806.65 | + | 2302.36i | 1.65851 | + | 1.00311i | ||||
\(175\) | −834.540 | − | 884.629i | −0.360487 | − | 0.382124i | ||||
\(176\) | −387.950 | − | 671.948i | −0.166152 | − | 0.287784i | ||||
\(177\) | 699.038 | + | 163.528i | 0.296853 | + | 0.0694436i | ||||
\(178\) | 1400.74 | − | 147.224i | 0.589831 | − | 0.0619937i | ||||
\(179\) | −2107.76 | + | 1531.38i | −0.880120 | + | 0.639445i | −0.933283 | − | 0.359141i | \(-0.883070\pi\) |
0.0531629 | + | 0.998586i | \(0.483070\pi\) | |||||||
\(180\) | −3503.26 | + | 450.788i | −1.45065 | + | 0.186665i | ||||
\(181\) | −3066.33 | − | 2227.82i | −1.25922 | − | 0.914875i | −0.260499 | − | 0.965474i | \(-0.583887\pi\) |
−0.998719 | + | 0.0505988i | \(0.983887\pi\) | |||||||
\(182\) | −869.651 | − | 502.093i | −0.354191 | − | 0.204492i | ||||
\(183\) | −3349.49 | − | 2539.32i | −1.35301 | − | 1.02575i | ||||
\(184\) | 2793.82 | − | 593.844i | 1.11936 | − | 0.237928i | ||||
\(185\) | −861.230 | + | 1739.93i | −0.342264 | + | 0.691472i | ||||
\(186\) | −3744.56 | − | 3512.27i | −1.47615 | − | 1.38458i | ||||
\(187\) | −3520.03 | + | 3169.45i | −1.37653 | + | 1.23943i | ||||
\(188\) | −1895.04 | − | 615.737i | −0.735161 | − | 0.238868i | ||||
\(189\) | −364.769 | + | 1315.33i | −0.140386 | + | 0.506223i | ||||
\(190\) | 234.523 | + | 352.111i | 0.0895480 | + | 0.134447i | ||||
\(191\) | 918.570 | + | 1020.18i | 0.347987 | + | 0.386478i | 0.891575 | − | 0.452874i | \(-0.149601\pi\) |
−0.543588 | + | 0.839352i | \(0.682935\pi\) | |||||||
\(192\) | −535.096 | + | 4255.67i | −0.201131 | + | 1.59962i | ||||
\(193\) | 3906.61 | − | 2255.48i | 1.45702 | − | 0.841209i | 0.458153 | − | 0.888874i | \(-0.348511\pi\) |
0.998863 | + | 0.0476651i | \(0.0151780\pi\) | |||||||
\(194\) | 342.000 | − | 3253.91i | 0.126568 | − | 1.20421i | ||||
\(195\) | 1256.91 | + | 495.138i | 0.461587 | + | 0.181834i | ||||
\(196\) | 303.742 | + | 2889.91i | 0.110693 | + | 1.05318i | ||||
\(197\) | −1192.81 | − | 1641.77i | −0.431393 | − | 0.593762i | 0.536879 | − | 0.843659i | \(-0.319603\pi\) |
−0.968272 | + | 0.249897i | \(0.919603\pi\) | |||||||
\(198\) | −4325.99 | + | 1213.28i | −1.55270 | + | 0.435473i | ||||
\(199\) | −373.239 | −0.132956 | −0.0664779 | − | 0.997788i | \(-0.521176\pi\) | ||||
−0.0664779 | + | 0.997788i | \(0.521176\pi\) | |||||||
\(200\) | −1632.71 | + | 1245.19i | −0.577249 | + | 0.440241i | ||||
\(201\) | −1777.43 | − | 1075.03i | −0.623731 | − | 0.377248i | ||||
\(202\) | 4960.14 | + | 4466.13i | 1.72769 | + | 1.55562i | ||||
\(203\) | 763.316 | − | 1714.44i | 0.263913 | − | 0.592758i | ||||
\(204\) | 7654.33 | − | 647.245i | 2.62701 | − | 0.222138i | ||||
\(205\) | −230.479 | − | 3597.66i | −0.0785236 | − | 1.22572i | ||||
\(206\) | 7279.06 | + | 5288.54i | 2.46192 | + | 1.78869i | ||||
\(207\) | −191.125 | + | 4690.78i | −0.0641744 | + | 1.57503i | ||||
\(208\) | 282.877 | − | 389.346i | 0.0942979 | − | 0.129790i | ||||
\(209\) | 213.865 | + | 237.521i | 0.0707816 | + | 0.0786109i | ||||
\(210\) | 628.097 | + | 2428.85i | 0.206394 | + | 0.798128i | ||||
\(211\) | 497.853 | − | 552.922i | 0.162434 | − | 0.180402i | −0.656433 | − | 0.754384i | \(-0.727936\pi\) |
0.818868 | + | 0.573983i | \(0.194602\pi\) | |||||||
\(212\) | 556.188 | + | 2616.66i | 0.180185 | + | 0.847702i | ||||
\(213\) | 4537.64 | − | 868.342i | 1.45969 | − | 0.279332i | ||||
\(214\) | 1842.59 | + | 391.654i | 0.588583 | + | 0.125107i | ||||
\(215\) | 2088.09 | − | 2640.71i | 0.662355 | − | 0.837651i | ||||
\(216\) | 2144.25 | + | 844.637i | 0.675454 | + | 0.266066i | ||||
\(217\) | −1272.99 | + | 1752.12i | −0.398232 | + | 0.548120i | ||||
\(218\) | −2936.28 | − | 1695.26i | −0.912248 | − | 0.526687i | ||||
\(219\) | 1243.78 | + | 156.389i | 0.383775 | + | 0.0482549i | ||||
\(220\) | −3427.49 | + | 3508.06i | −1.05037 | + | 1.07506i | ||||
\(221\) | −2683.96 | − | 1194.98i | −0.816936 | − | 0.363723i | ||||
\(222\) | 3287.26 | − | 2287.55i | 0.993812 | − | 0.691577i | ||||
\(223\) | 309.708 | − | 1457.06i | 0.0930027 | − | 0.437544i | −0.906867 | − | 0.421417i | \(-0.861533\pi\) |
0.999870 | − | 0.0161270i | \(-0.00513361\pi\) | |||||||
\(224\) | 2172.28 | 0.647955 | ||||||||
\(225\) | −1318.60 | − | 3106.75i | −0.390697 | − | 0.920519i | ||||
\(226\) | −3728.11 | −1.09730 | ||||||||
\(227\) | 921.633 | − | 4335.94i | 0.269476 | − | 1.26778i | −0.610215 | − | 0.792236i | \(-0.708917\pi\) |
0.879690 | − | 0.475547i | \(-0.157750\pi\) | |||||||
\(228\) | −43.6741 | − | 516.491i | −0.0126859 | − | 0.150024i | ||||
\(229\) | 4172.83 | + | 1857.86i | 1.20414 | + | 0.536118i | 0.907977 | − | 0.419020i | \(-0.137626\pi\) |
0.296163 | + | 0.955137i | \(0.404293\pi\) | |||||||
\(230\) | 4006.33 | + | 7642.10i | 1.14856 | + | 2.19089i | ||||
\(231\) | 735.480 | + | 1746.79i | 0.209485 | + | 0.497533i | ||||
\(232\) | −2744.08 | − | 1584.29i | −0.776541 | − | 0.448336i | ||||
\(233\) | 3868.03 | − | 5323.89i | 1.08757 | − | 1.49691i | 0.236662 | − | 0.971592i | \(-0.423947\pi\) |
0.850907 | − | 0.525317i | \(-0.176053\pi\) | |||||||
\(234\) | −1778.85 | − | 2145.17i | −0.496954 | − | 0.599291i | ||||
\(235\) | 77.5512 | − | 1902.34i | 0.0215272 | − | 0.528063i | ||||
\(236\) | −1581.29 | − | 336.114i | −0.436159 | − | 0.0927084i | ||||
\(237\) | −219.494 | + | 631.484i | −0.0601588 | + | 0.173077i | ||||
\(238\) | −1134.36 | − | 5336.77i | −0.308949 | − | 1.45349i | ||||
\(239\) | 3389.43 | − | 3764.35i | 0.917340 | − | 1.01881i | −0.0824137 | − | 0.996598i | \(-0.526263\pi\) |
0.999753 | − | 0.0222107i | \(-0.00707046\pi\) | |||||||
\(240\) | −1189.12 | + | 177.693i | −0.319823 | + | 0.0477918i | ||||
\(241\) | −1019.65 | − | 1132.44i | −0.272537 | − | 0.302683i | 0.591303 | − | 0.806450i | \(-0.298614\pi\) |
−0.863840 | + | 0.503766i | \(0.831947\pi\) | |||||||
\(242\) | −194.452 | + | 267.640i | −0.0516522 | + | 0.0710931i | ||||
\(243\) | −2217.59 | + | 3071.03i | −0.585425 | + | 0.810726i | ||||
\(244\) | 7657.37 | + | 5563.41i | 2.00907 | + | 1.45967i | ||||
\(245\) | −2580.40 | + | 1025.07i | −0.672881 | + | 0.267303i | ||||
\(246\) | −3162.47 | + | 6730.77i | −0.819641 | + | 1.74446i | ||||
\(247\) | −80.6335 | + | 181.106i | −0.0207716 | + | 0.0466538i | ||||
\(248\) | 2717.41 | + | 2446.77i | 0.695789 | + | 0.626491i | ||||
\(249\) | −75.3863 | + | 3701.94i | −0.0191864 | + | 0.942173i | ||||
\(250\) | −4953.79 | − | 3733.40i | −1.25322 | − | 0.944484i | ||||
\(251\) | −1238.98 | −0.311570 | −0.155785 | − | 0.987791i | \(-0.549791\pi\) | ||||
−0.155785 | + | 0.987791i | \(0.549791\pi\) | |||||||
\(252\) | 760.927 | − | 2978.02i | 0.190214 | − | 0.744435i | ||||
\(253\) | 3831.60 | + | 5273.75i | 0.952137 | + | 1.31050i | ||||
\(254\) | 646.448 | + | 6150.54i | 0.159692 | + | 1.51937i | ||||
\(255\) | 2570.36 | + | 6875.12i | 0.631224 | + | 1.68838i | ||||
\(256\) | 180.875 | − | 1720.91i | 0.0441589 | − | 0.420144i | ||||
\(257\) | 1068.59 | − | 616.950i | 0.259365 | − | 0.149744i | −0.364680 | − | 0.931133i | \(-0.618822\pi\) |
0.624045 | + | 0.781389i | \(0.285488\pi\) | |||||||
\(258\) | −6400.46 | + | 2694.90i | −1.54448 | + | 0.650298i | ||||
\(259\) | −1130.45 | − | 1255.49i | −0.271207 | − | 0.301206i | ||||
\(260\) | −2852.48 | − | 1057.12i | −0.680398 | − | 0.252152i | ||||
\(261\) | 3639.56 | − | 3725.27i | 0.863154 | − | 0.883481i | ||||
\(262\) | −3845.94 | − | 1249.62i | −0.906882 | − | 0.294664i | ||||
\(263\) | 1035.00 | − | 931.917i | 0.242665 | − | 0.218496i | −0.538820 | − | 0.842421i | \(-0.681130\pi\) |
0.781484 | + | 0.623925i | \(0.214463\pi\) | |||||||
\(264\) | 3062.92 | − | 926.697i | 0.714051 | − | 0.216039i | ||||
\(265\) | −2263.87 | + | 1186.82i | −0.524786 | + | 0.275116i | ||||
\(266\) | −360.109 | + | 76.5435i | −0.0830063 | + | 0.0176435i | ||||
\(267\) | 205.703 | − | 1635.97i | 0.0471490 | − | 0.374980i | ||||
\(268\) | 4050.94 | + | 2338.81i | 0.923323 | + | 0.533081i | ||||
\(269\) | −1091.98 | − | 793.370i | −0.247506 | − | 0.179824i | 0.457115 | − | 0.889408i | \(-0.348883\pi\) |
−0.704621 | + | 0.709584i | \(0.748883\pi\) | |||||||
\(270\) | −707.713 | + | 6926.09i | −0.159519 | + | 1.56114i | ||||
\(271\) | 3284.05 | − | 2386.00i | 0.736131 | − | 0.534831i | −0.155366 | − | 0.987857i | \(-0.549656\pi\) |
0.891497 | + | 0.453026i | \(0.149656\pi\) | |||||||
\(272\) | 2600.47 | − | 273.321i | 0.579694 | − | 0.0609283i | ||||
\(273\) | −804.242 | + | 857.432i | −0.178296 | + | 0.190088i | ||||
\(274\) | −819.895 | − | 1420.10i | −0.180772 | − | 0.313107i | ||||
\(275\) | −4111.80 | − | 2248.24i | −0.901639 | − | 0.492997i | ||||
\(276\) | 215.236 | − | 10569.5i | 0.0469409 | − | 2.30510i | ||||
\(277\) | −1320.04 | + | 6210.28i | −0.286329 | + | 1.34707i | 0.566145 | + | 0.824305i | \(0.308434\pi\) |
−0.852475 | + | 0.522768i | \(0.824899\pi\) | |||||||
\(278\) | −358.589 | − | 493.556i | −0.0773624 | − | 0.106480i | ||||
\(279\) | −5002.19 | + | 3331.86i | −1.07338 | + | 0.714958i | ||||
\(280\) | −482.485 | − | 1720.46i | −0.102978 | − | 0.367205i | ||||
\(281\) | −4479.11 | + | 1994.23i | −0.950894 | + | 0.423365i | −0.822758 | − | 0.568392i | \(-0.807566\pi\) |
−0.128135 | + | 0.991757i | \(0.540899\pi\) | |||||||
\(282\) | −2032.60 | + | 3360.64i | −0.429219 | + | 0.709657i | ||||
\(283\) | −5720.09 | − | 601.206i | −1.20150 | − | 0.126283i | −0.517446 | − | 0.855716i | \(-0.673117\pi\) |
−0.684052 | + | 0.729433i | \(0.739784\pi\) | |||||||
\(284\) | −10176.1 | + | 2163.00i | −2.12620 | + | 0.451938i | ||||
\(285\) | 463.912 | − | 173.440i | 0.0964203 | − | 0.0360481i | ||||
\(286\) | −3784.96 | − | 804.519i | −0.782551 | − | 0.166336i | ||||
\(287\) | 2983.59 | + | 969.427i | 0.613643 | + | 0.199385i | ||||
\(288\) | 5652.77 | + | 2094.75i | 1.15657 | + | 0.428591i | ||||
\(289\) | −3414.54 | − | 10508.9i | −0.695001 | − | 2.13899i | ||||
\(290\) | 2369.90 | − | 9274.19i | 0.479880 | − | 1.87793i | ||||
\(291\) | −3617.96 | − | 1257.54i | −0.728826 | − | 0.253328i | ||||
\(292\) | −2807.38 | − | 295.068i | −0.562636 | − | 0.0591354i | ||||
\(293\) | 4452.92 | − | 2570.89i | 0.887858 | − | 0.512605i | 0.0146166 | − | 0.999893i | \(-0.495347\pi\) |
0.873241 | + | 0.487288i | \(0.162014\pi\) | |||||||
\(294\) | 5682.90 | + | 714.552i | 1.12732 | + | 0.141747i | ||||
\(295\) | −98.7562 | − | 1541.54i | −0.0194909 | − | 0.304243i | ||||
\(296\) | −2307.66 | + | 1676.62i | −0.453143 | + | 0.329227i | ||||
\(297\) | 229.444 | + | 5254.76i | 0.0448272 | + | 1.02664i | ||||
\(298\) | −864.914 | + | 281.027i | −0.168131 | + | 0.0546291i | ||||
\(299\) | −2021.64 | + | 3501.59i | −0.391019 | + | 0.677265i | ||||
\(300\) | 3111.11 | + | 6934.01i | 0.598733 | + | 1.33445i | ||||
\(301\) | 1464.79 | + | 2537.08i | 0.280494 | + | 0.485831i | ||||
\(302\) | 1442.08 | + | 1298.46i | 0.274776 | + | 0.247410i | ||||
\(303\) | 6413.65 | − | 4463.15i | 1.21602 | − | 0.846208i | ||||
\(304\) | −18.4428 | − | 175.472i | −0.00347950 | − | 0.0331053i | ||||
\(305\) | −3142.76 | + | 8480.32i | −0.590013 | + | 1.59207i | ||||
\(306\) | 2194.41 | − | 14981.3i | 0.409954 | − | 2.79878i | ||||
\(307\) | − | 2531.44i | − | 0.470608i | −0.971922 | − | 0.235304i | \(-0.924391\pi\) | ||
0.971922 | − | 0.235304i | \(-0.0756086\pi\) | |||||||
\(308\) | −1735.93 | − | 3898.95i | −0.321148 | − | 0.721310i | ||||
\(309\) | 7969.49 | − | 6887.19i | 1.46721 | − | 1.26796i | ||||
\(310\) | −4900.37 | + | 9900.16i | −0.897815 | + | 1.81384i | ||||
\(311\) | 2488.22 | − | 2763.44i | 0.453678 | − | 0.503860i | −0.472300 | − | 0.881438i | \(-0.656576\pi\) |
0.925978 | + | 0.377578i | \(0.123243\pi\) | |||||||
\(312\) | 1297.82 | + | 1501.77i | 0.235495 | + | 0.272502i | ||||
\(313\) | 24.6629 | − | 22.2065i | 0.00445376 | − | 0.00401018i | −0.666901 | − | 0.745147i | \(-0.732379\pi\) |
0.671354 | + | 0.741136i | \(0.265713\pi\) | |||||||
\(314\) | −508.777 | − | 1565.85i | −0.0914393 | − | 0.281421i | ||||
\(315\) | 2936.16 | − | 68.2888i | 0.525186 | − | 0.0122147i | ||||
\(316\) | 465.211 | − | 1431.77i | 0.0828169 | − | 0.254884i | ||||
\(317\) | 4363.87 | + | 9801.42i | 0.773184 | + | 1.73660i | 0.670528 | + | 0.741884i | \(0.266067\pi\) |
0.102656 | + | 0.994717i | \(0.467266\pi\) | |||||||
\(318\) | 5271.78 | + | 107.354i | 0.929645 | + | 0.0189313i | ||||
\(319\) | 755.908 | − | 7191.98i | 0.132673 | − | 1.26230i | ||||
\(320\) | 9097.83 | − | 1549.49i | 1.58933 | − | 0.270685i | ||||
\(321\) | 937.797 | − | 1995.94i | 0.163062 | − | 0.347048i | ||||
\(322\) | −7467.52 | + | 784.868i | −1.29239 | + | 0.135835i | ||||
\(323\) | −1024.40 | + | 332.846i | −0.176467 | + | 0.0573377i | ||||
\(324\) | 4851.83 | − | 7015.70i | 0.831932 | − | 1.20297i | ||||
\(325\) | 236.599 | − | 2897.08i | 0.0403821 | − | 0.494464i | ||||
\(326\) | 3790.42 | − | 6565.20i | 0.643963 | − | 1.11538i | ||||
\(327\) | −2715.43 | + | 2895.02i | −0.459217 | + | 0.489588i | ||||
\(328\) | 2154.37 | − | 4838.80i | 0.362668 | − | 0.814566i | ||||
\(329\) | 1513.56 | + | 673.882i | 0.253634 | + | 0.112925i | ||||
\(330\) | 5194.03 | + | 8153.33i | 0.866430 | + | 1.36008i | ||||
\(331\) | 1374.04 | − | 611.764i | 0.228170 | − | 0.101588i | −0.289468 | − | 0.957188i | \(-0.593478\pi\) |
0.517638 | + | 0.855600i | \(0.326812\pi\) | |||||||
\(332\) | − | 8337.92i | − | 1.37832i | ||||||
\(333\) | −1731.00 | − | 4357.17i | −0.284860 | − | 0.717031i | ||||
\(334\) | 53.1682 | − | 163.635i | 0.00871028 | − | 0.0268075i | ||||
\(335\) | −1106.57 | + | 4330.37i | −0.180473 | + | 0.706248i | ||||
\(336\) | 238.323 | − | 1018.77i | 0.0386952 | − | 0.165412i | ||||
\(337\) | −1423.04 | − | 6694.89i | −0.230024 | − | 1.08218i | −0.929871 | − | 0.367885i | \(-0.880082\pi\) |
0.699847 | − | 0.714293i | \(-0.253251\pi\) | |||||||
\(338\) | 1528.45 | + | 7190.79i | 0.245967 | + | 1.15718i | ||||
\(339\) | −994.144 | + | 4249.69i | −0.159276 | + | 0.680860i | ||||
\(340\) | −6102.05 | − | 15360.6i | −0.973323 | − | 2.45014i | ||||
\(341\) | −2578.89 | + | 7937.00i | −0.409544 | + | 1.26045i | ||||
\(342\) | −1010.89 | − | 148.072i | −0.159833 | − | 0.0234118i | ||||
\(343\) | − | 5753.30i | − | 0.905682i | ||||||
\(344\) | 4518.65 | − | 2011.83i | 0.708225 | − | 0.315322i | ||||
\(345\) | 9779.61 | − | 2528.99i | 1.52614 | − | 0.394656i | ||||
\(346\) | 12792.8 | + | 5695.72i | 1.98770 | + | 0.884983i | ||||
\(347\) | −3312.68 | + | 7440.40i | −0.512490 | + | 1.15107i | 0.453209 | + | 0.891405i | \(0.350279\pi\) |
−0.965698 | + | 0.259666i | \(0.916387\pi\) | |||||||
\(348\) | −8023.23 | + | 8553.85i | −1.23589 | + | 1.31763i | ||||
\(349\) | −3636.78 | + | 6299.09i | −0.557801 | + | 0.966139i | 0.439879 | + | 0.898057i | \(0.355021\pi\) |
−0.997680 | + | 0.0680822i | \(0.978312\pi\) | |||||||
\(350\) | 4610.82 | − | 2806.86i | 0.704168 | − | 0.428665i | ||||
\(351\) | −2919.64 | + | 1455.69i | −0.443986 | + | 0.221365i | ||||
\(352\) | 7960.97 | − | 2586.68i | 1.20546 | − | 0.391677i | ||||
\(353\) | −10435.9 | + | 1096.85i | −1.57350 | + | 0.165381i | −0.850690 | − | 0.525668i | \(-0.823815\pi\) |
−0.722808 | + | 0.691049i | \(0.757149\pi\) | |||||||
\(354\) | −1355.06 | + | 2884.02i | −0.203449 | + | 0.433005i | ||||
\(355\) | −4615.52 | − | 8804.13i | −0.690046 | − | 1.31627i | ||||
\(356\) | −388.109 | + | 3692.61i | −0.0577802 | + | 0.549742i | ||||
\(357\) | −6385.90 | − | 130.042i | −0.946717 | − | 0.0192789i | ||||
\(358\) | −4703.49 | − | 10564.2i | −0.694378 | − | 1.55960i | ||||
\(359\) | −2601.83 | + | 8007.62i | −0.382505 | + | 1.17723i | 0.555768 | + | 0.831337i | \(0.312424\pi\) |
−0.938274 | + | 0.345893i | \(0.887576\pi\) | |||||||
\(360\) | 403.522 | − | 4942.29i | 0.0590763 | − | 0.723560i | ||||
\(361\) | −2097.09 | − | 6454.17i | −0.305743 | − | 0.940979i | ||||
\(362\) | 12502.0 | − | 11256.8i | 1.81516 | − | 1.63438i | ||||
\(363\) | 253.231 | + | 293.026i | 0.0366149 | + | 0.0423688i | ||||
\(364\) | 1771.34 | − | 1967.27i | 0.255064 | − | 0.283278i | ||||
\(365\) | −452.861 | − | 2658.97i | −0.0649420 | − | 0.381307i | ||||
\(366\) | 14115.7 | − | 12198.7i | 2.01595 | − | 1.74217i | ||||
\(367\) | 2826.57 | + | 6348.58i | 0.402032 | + | 0.902979i | 0.995196 | + | 0.0978976i | \(0.0312118\pi\) |
−0.593164 | + | 0.805081i | \(0.702122\pi\) | |||||||
\(368\) | − | 3598.54i | − | 0.509746i | ||||||
\(369\) | 6829.13 | + | 5399.76i | 0.963443 | + | 0.761789i | ||||
\(370\) | −6759.28 | − | 5344.76i | −0.949725 | − | 0.750975i | ||||
\(371\) | −232.506 | − | 2212.15i | −0.0325367 | − | 0.309566i | ||||
\(372\) | 11109.1 | − | 7730.60i | 1.54833 | − | 1.07745i | ||||
\(373\) | 349.328 | + | 314.536i | 0.0484920 | + | 0.0436624i | 0.693020 | − | 0.720918i | \(-0.256280\pi\) |
−0.644528 | + | 0.764580i | \(0.722946\pi\) | |||||||
\(374\) | −10512.0 | − | 18207.4i | −1.45338 | − | 2.51733i | ||||
\(375\) | −5576.72 | + | 4651.30i | −0.767948 | + | 0.640513i | ||||
\(376\) | 1398.67 | − | 2422.57i | 0.191837 | − | 0.332272i | ||||
\(377\) | 4265.93 | − | 1386.08i | 0.582776 | − | 0.189355i | ||||
\(378\) | −5373.98 | − | 2797.50i | −0.731237 | − | 0.380655i | ||||
\(379\) | −9124.11 | + | 6629.05i | −1.23661 | + | 0.898447i | −0.997367 | − | 0.0725132i | \(-0.976898\pi\) |
−0.239239 | + | 0.970961i | \(0.576898\pi\) | |||||||
\(380\) | −1036.49 | + | 411.747i | −0.139923 | + | 0.0555847i | ||||
\(381\) | 7183.42 | + | 903.224i | 0.965926 | + | 0.121453i | ||||
\(382\) | −5276.86 | + | 3046.60i | −0.706774 | + | 0.408056i | ||||
\(383\) | 9770.17 | + | 1026.89i | 1.30348 | + | 0.137001i | 0.730694 | − | 0.682705i | \(-0.239197\pi\) |
0.572784 | + | 0.819706i | \(0.305863\pi\) | |||||||
\(384\) | −9215.65 | − | 3203.21i | −1.22470 | − | 0.425685i | ||||
\(385\) | 3139.22 | − | 2603.04i | 0.415557 | − | 0.344580i | ||||
\(386\) | 6187.21 | + | 19042.3i | 0.815857 | + | 2.51095i | ||||
\(387\) | 1365.17 | + | 8014.56i | 0.179317 | + | 1.05272i | ||||
\(388\) | 8203.03 | + | 2665.33i | 1.07331 | + | 0.348741i | ||||
\(389\) | −6192.62 | − | 1316.28i | −0.807142 | − | 0.171563i | −0.214181 | − | 0.976794i | \(-0.568708\pi\) |
−0.592962 | + | 0.805231i | \(0.702041\pi\) | |||||||
\(390\) | −3309.60 | + | 5000.06i | −0.429713 | + | 0.649199i | ||||
\(391\) | −21488.1 | + | 4567.44i | −2.77929 | + | 0.590756i | ||||
\(392\) | −4057.12 | − | 426.420i | −0.522743 | − | 0.0549425i | ||||
\(393\) | −2450.02 | + | 4050.79i | −0.314471 | + | 0.519937i | ||||
\(394\) | 8228.63 | − | 3663.62i | 1.05216 | − | 0.468453i | ||||
\(395\) | 1437.28 | + | 58.5926i | 0.183082 | + | 0.00746358i | ||||
\(396\) | −757.478 | − | 11819.9i | −0.0961230 | − | 1.49993i | ||||
\(397\) | 5457.37 | + | 7511.43i | 0.689919 | + | 0.949592i | 0.999999 | − | 0.00111843i | \(-0.000356006\pi\) |
−0.310080 | + | 0.950710i | \(0.600356\pi\) | |||||||
\(398\) | 344.436 | − | 1620.44i | 0.0433795 | − | 0.204084i | ||||
\(399\) | −8.77487 | + | 430.901i | −0.00110098 | + | 0.0540653i | ||||
\(400\) | 1106.84 | + | 2338.25i | 0.138355 | + | 0.292281i | ||||
\(401\) | −324.616 | − | 562.251i | −0.0404253 | − | 0.0700187i | 0.845105 | − | 0.534601i | \(-0.179538\pi\) |
−0.885530 | + | 0.464582i | \(0.846205\pi\) | |||||||
\(402\) | 6307.60 | − | 6724.76i | 0.782574 | − | 0.834330i | ||||
\(403\) | −5147.99 | + | 541.075i | −0.636326 | + | 0.0668806i | ||||
\(404\) | −14234.9 | + | 10342.3i | −1.75300 | + | 1.27363i | ||||
\(405\) | 7706.38 | + | 2653.65i | 0.945514 | + | 0.325583i | ||||
\(406\) | 6738.95 | + | 4896.13i | 0.823765 | + | 0.598500i | ||||
\(407\) | −5637.86 | − | 3255.02i | −0.686629 | − | 0.396426i | ||||
\(408\) | −1345.38 | + | 10699.9i | −0.163251 | + | 1.29835i | ||||
\(409\) | 7864.66 | − | 1671.69i | 0.950813 | − | 0.202102i | 0.293703 | − | 0.955897i | \(-0.405112\pi\) |
0.657110 | + | 0.753795i | \(0.271779\pi\) | |||||||
\(410\) | 15832.2 | + | 2319.39i | 1.90707 | + | 0.279382i | ||||
\(411\) | −1837.42 | + | 555.917i | −0.220518 | + | 0.0667186i | ||||
\(412\) | −17626.6 | + | 15871.0i | −2.10776 | + | 1.89784i | ||||
\(413\) | 1278.42 | + | 415.383i | 0.152317 | + | 0.0494907i | ||||
\(414\) | −20189.0 | − | 5158.58i | −2.39670 | − | 0.612392i | ||||
\(415\) | 7671.02 | − | 2151.25i | 0.907363 | − | 0.254460i | ||||
\(416\) | 3474.11 | + | 3858.39i | 0.409453 | + | 0.454743i | ||||
\(417\) | −658.229 | + | 277.146i | −0.0772989 | + | 0.0325465i | ||||
\(418\) | −1228.58 | + | 709.320i | −0.143760 | + | 0.0829999i | ||||
\(419\) | −1665.82 | + | 15849.2i | −0.194226 | + | 1.84794i | 0.270793 | + | 0.962638i | \(0.412714\pi\) |
−0.465019 | + | 0.885301i | \(0.653952\pi\) | |||||||
\(420\) | −6607.26 | + | 288.357i | −0.767622 | + | 0.0335010i | ||||
\(421\) | 876.547 | + | 8339.78i | 0.101473 | + | 0.965454i | 0.920247 | + | 0.391338i | \(0.127988\pi\) |
−0.818774 | + | 0.574116i | \(0.805346\pi\) | |||||||
\(422\) | 1941.12 | + | 2671.72i | 0.223915 | + | 0.308193i | ||||
\(423\) | 3288.80 | + | 3213.13i | 0.378031 | + | 0.369333i | ||||
\(424\) | −3755.56 | −0.430156 | ||||||||
\(425\) | 12557.7 | − | 9577.16i | 1.43326 | − | 1.09308i | ||||
\(426\) | −417.499 | + | 20501.8i | −0.0474833 | + | 2.33173i | ||||
\(427\) | −5848.62 | − | 5266.12i | −0.662845 | − | 0.596828i | ||||
\(428\) | −2019.83 | + | 4536.60i | −0.228112 | + | 0.512348i | ||||
\(429\) | −1926.38 | + | 4099.97i | −0.216799 | + | 0.461418i | ||||
\(430\) | 9537.90 | + | 11502.5i | 1.06967 | + | 1.29000i | ||||
\(431\) | −8426.26 | − | 6122.03i | −0.941713 | − | 0.684195i | 0.00711911 | − | 0.999975i | \(-0.497734\pi\) |
−0.948832 | + | 0.315780i | \(0.897734\pi\) | |||||||
\(432\) | 1602.57 | − | 2421.24i | 0.178481 | − | 0.269657i | ||||
\(433\) | −2483.62 | + | 3418.41i | −0.275647 | + | 0.379396i | −0.924286 | − | 0.381700i | \(-0.875339\pi\) |
0.648639 | + | 0.761096i | \(0.275339\pi\) | |||||||
\(434\) | −6432.23 | − | 7143.71i | −0.711421 | − | 0.790113i | ||||
\(435\) | −9939.75 | − | 5174.54i | −1.09557 | − | 0.570345i | ||||
\(436\) | 5980.73 | − | 6642.28i | 0.656938 | − | 0.729604i | ||||
\(437\) | 308.197 | + | 1449.95i | 0.0337370 | + | 0.158720i | ||||
\(438\) | −1826.78 | + | 5255.64i | −0.199285 | + | 0.573343i | ||||
\(439\) | −211.666 | − | 44.9911i | −0.0230120 | − | 0.00489136i | 0.196391 | − | 0.980526i | \(-0.437078\pi\) |
−0.219403 | + | 0.975634i | \(0.570411\pi\) | |||||||
\(440\) | −3816.87 | − | 5730.61i | −0.413550 | − | 0.620901i | ||||
\(441\) | 2329.93 | − | 6287.43i | 0.251586 | − | 0.678914i | ||||
\(442\) | 7664.93 | − | 10549.9i | 0.824850 | − | 1.13531i | ||||
\(443\) | −14815.8 | − | 8553.89i | −1.58898 | − | 0.917399i | −0.993475 | − | 0.114048i | \(-0.963618\pi\) |
−0.595506 | − | 0.803351i | \(-0.703048\pi\) | |||||||
\(444\) | 4096.90 | + | 9730.26i | 0.437906 | + | 1.04004i | ||||
\(445\) | −3497.40 | + | 595.658i | −0.372568 | + | 0.0634537i | ||||
\(446\) | 6040.15 | + | 2689.25i | 0.641276 | + | 0.285515i | ||||
\(447\) | 89.7055 | + | 1060.86i | 0.00949201 | + | 0.112253i | ||||
\(448\) | −1669.74 | + | 7855.50i | −0.176089 | + | 0.828432i | ||||
\(449\) | −9956.78 | −1.04652 | −0.523262 | − | 0.852172i | \(-0.675285\pi\) | ||||
−0.523262 | + | 0.852172i | \(0.675285\pi\) | |||||||
\(450\) | 14705.1 | − | 2857.81i | 1.54045 | − | 0.299375i | ||||
\(451\) | 12088.6 | 1.26215 | ||||||||
\(452\) | 2043.36 | − | 9613.23i | 0.212636 | − | 1.00037i | ||||
\(453\) | 1864.67 | − | 1297.59i | 0.193399 | − | 0.134583i | ||||
\(454\) | 17974.3 | + | 8002.69i | 1.85810 | + | 0.827279i | ||||
\(455\) | 2266.94 | + | 1122.09i | 0.233574 | + | 0.115614i | ||||
\(456\) | 721.999 | + | 90.7822i | 0.0741462 | + | 0.00932295i | ||||
\(457\) | 4382.38 | + | 2530.17i | 0.448576 | + | 0.258985i | 0.707229 | − | 0.706985i | \(-0.249945\pi\) |
−0.258653 | + | 0.965970i | \(0.583279\pi\) | |||||||
\(458\) | −11916.9 | + | 16402.2i | −1.21580 | + | 1.67341i | ||||
\(459\) | −16492.1 | − | 6496.37i | −1.67710 | − | 0.660620i | ||||
\(460\) | −21901.6 | + | 6142.07i | −2.21993 | + | 0.622555i | ||||
\(461\) | −16817.8 | − | 3574.74i | −1.69910 | − | 0.361155i | −0.746501 | − | 0.665384i | \(-0.768268\pi\) |
−0.952599 | + | 0.304229i | \(0.901601\pi\) | |||||||
\(462\) | −8262.54 | + | 1581.15i | −0.832052 | + | 0.159225i | ||||
\(463\) | 39.7426 | + | 186.974i | 0.00398919 | + | 0.0187677i | 0.980097 | − | 0.198518i | \(-0.0636129\pi\) |
−0.976108 | + | 0.217286i | \(0.930280\pi\) | |||||||
\(464\) | −2671.22 | + | 2966.69i | −0.267259 | + | 0.296821i | ||||
\(465\) | 9978.52 | + | 8225.96i | 0.995145 | + | 0.820365i | ||||
\(466\) | 19544.6 | + | 21706.4i | 1.94288 | + | 2.15779i | ||||
\(467\) | 829.367 | − | 1141.53i | 0.0821810 | − | 0.113112i | −0.765947 | − | 0.642903i | \(-0.777730\pi\) |
0.848128 | + | 0.529791i | \(0.177730\pi\) | |||||||
\(468\) | 6506.47 | − | 3411.16i | 0.642653 | − | 0.336925i | ||||
\(469\) | −3146.59 | − | 2286.13i | −0.309800 | − | 0.225083i | ||||
\(470\) | 8187.57 | + | 2092.23i | 0.803542 | + | 0.205335i | ||||
\(471\) | −1920.60 | + | 162.404i | −0.187891 | + | 0.0158879i | ||||
\(472\) | 923.111 | − | 2073.34i | 0.0900204 | − | 0.202189i | ||||
\(473\) | 8389.20 | + | 7553.67i | 0.815509 | + | 0.734288i | ||||
\(474\) | −2539.08 | − | 1535.70i | −0.246042 | − | 0.148812i | ||||
\(475\) | −646.237 | − | 847.353i | −0.0624240 | − | 0.0818510i | ||||
\(476\) | 14383.0 | 1.38497 | ||||||||
\(477\) | 1528.16 | − | 5980.71i | 0.146687 | − | 0.574084i | ||||
\(478\) | 13215.3 | + | 18189.3i | 1.26455 | + | 1.74050i | ||||
\(479\) | 1322.28 | + | 12580.7i | 0.126131 | + | 1.20005i | 0.856187 | + | 0.516666i | \(0.172827\pi\) |
−0.730056 | + | 0.683387i | \(0.760506\pi\) | |||||||
\(480\) | 792.103 | − | 12946.9i | 0.0753216 | − | 1.23113i | ||||
\(481\) | 422.076 | − | 4015.79i | 0.0400104 | − | 0.380674i | ||||
\(482\) | 5857.53 | − | 3381.85i | 0.553534 | − | 0.319583i | ||||
\(483\) | −1096.63 | + | 8721.57i | −0.103309 | + | 0.821625i | ||||
\(484\) | −583.553 | − | 648.102i | −0.0548040 | − | 0.0608660i | ||||
\(485\) | −335.694 | + | 8234.60i | −0.0314290 | + | 0.770957i | ||||
\(486\) | −11286.6 | − | 12461.9i | −1.05344 | − | 1.16313i | ||||
\(487\) | 4720.45 | + | 1533.77i | 0.439228 | + | 0.142714i | 0.520279 | − | 0.853996i | \(-0.325828\pi\) |
−0.0810517 | + | 0.996710i | \(0.525828\pi\) | |||||||
\(488\) | −9874.79 | + | 8891.30i | −0.916006 | + | 0.824776i | ||||
\(489\) | −6472.95 | − | 6071.41i | −0.598603 | − | 0.561469i | ||||
\(490\) | −2069.15 | − | 12149.0i | −0.190764 | − | 1.12007i | ||||
\(491\) | −7636.66 | + | 1623.22i | −0.701910 | + | 0.149196i | −0.545023 | − | 0.838421i | \(-0.683479\pi\) |
−0.156887 | + | 0.987617i | \(0.550146\pi\) | |||||||
\(492\) | −15622.5 | − | 11843.8i | −1.43154 | − | 1.08528i | ||||
\(493\) | 21105.6 | + | 12185.3i | 1.92809 | + | 1.11318i | ||||
\(494\) | −711.873 | − | 517.206i | −0.0648354 | − | 0.0471057i | ||||
\(495\) | 10679.1 | − | 3746.53i | 0.969675 | − | 0.340190i | ||||
\(496\) | 3727.11 | − | 2707.90i | 0.337403 | − | 0.245138i | ||||
\(497\) | 8603.00 | − | 904.212i | 0.776453 | − | 0.0816085i | ||||
\(498\) | −16002.7 | − | 3743.56i | −1.43996 | − | 0.336853i | ||||
\(499\) | −6600.85 | − | 11433.0i | −0.592173 | − | 1.02567i | −0.993939 | − | 0.109932i | \(-0.964937\pi\) |
0.401766 | − | 0.915742i | \(-0.368397\pi\) | |||||||
\(500\) | 12342.0 | − | 10727.5i | 1.10390 | − | 0.959497i | ||||
\(501\) | −172.350 | − | 104.242i | −0.0153694 | − | 0.00929578i | ||||
\(502\) | 1143.37 | − | 5379.14i | 0.101656 | − | 0.478253i | ||||
\(503\) | 4312.10 | + | 5935.10i | 0.382241 | + | 0.526109i | 0.956176 | − | 0.292791i | \(-0.0945841\pi\) |
−0.573936 | + | 0.818900i | \(0.694584\pi\) | |||||||
\(504\) | 3867.34 | + | 1914.15i | 0.341796 | + | 0.169173i | ||||
\(505\) | −13187.8 | − | 10428.0i | −1.16208 | − | 0.918888i | ||||
\(506\) | −26432.3 | + | 11768.4i | −2.32225 | + | 1.03393i | ||||
\(507\) | 8604.40 | + | 175.220i | 0.753718 | + | 0.0153487i | ||||
\(508\) | −16214.0 | − | 1704.16i | −1.41610 | − | 0.148838i | ||||
\(509\) | −4135.21 | + | 878.965i | −0.360098 | + | 0.0765412i | −0.384408 | − | 0.923163i | \(-0.625594\pi\) |
0.0243102 | + | 0.999704i | \(0.492261\pi\) | |||||||
\(510\) | −32220.9 | + | 4814.84i | −2.79758 | + | 0.418048i | ||||
\(511\) | 2295.88 | + | 488.005i | 0.198755 | + | 0.0422467i | ||||
\(512\) | −6981.33 | − | 2268.37i | −0.602606 | − | 0.195799i | ||||
\(513\) | −438.355 | + | 1112.84i | −0.0377268 | + | 0.0957759i | ||||
\(514\) | 1692.41 | + | 5208.70i | 0.145231 | + | 0.446976i | ||||
\(515\) | −19149.4 | − | 12121.9i | −1.63849 | − | 1.03719i | ||||
\(516\) | −3440.96 | − | 17981.2i | −0.293565 | − | 1.53406i | ||||
\(517\) | 6349.33 | + | 667.341i | 0.540122 | + | 0.0567691i | ||||
\(518\) | 6494.03 | − | 3749.33i | 0.550833 | − | 0.318023i | ||||
\(519\) | 9903.94 | − | 13063.8i | 0.837640 | − | 1.10489i | ||||
\(520\) | 2284.24 | − | 3608.50i | 0.192635 | − | 0.304314i | ||||
\(521\) | −2153.55 | + | 1564.65i | −0.181092 | + | 0.131571i | −0.674638 | − | 0.738149i | \(-0.735700\pi\) |
0.493546 | + | 0.869720i | \(0.335700\pi\) | |||||||
\(522\) | 12814.9 | + | 19239.2i | 1.07450 | + | 1.61318i | ||||
\(523\) | 2769.21 | − | 899.770i | 0.231528 | − | 0.0752279i | −0.190955 | − | 0.981599i | \(-0.561159\pi\) |
0.422483 | + | 0.906371i | \(0.361159\pi\) | |||||||
\(524\) | 5330.19 | − | 9232.17i | 0.444371 | − | 0.769674i | ||||
\(525\) | −1970.02 | − | 6004.39i | −0.163769 | − | 0.499149i | ||||
\(526\) | 3090.86 | + | 5353.53i | 0.256213 | + | 0.443774i | ||||
\(527\) | −20900.5 | − | 18818.9i | −1.72759 | − | 1.55553i | ||||
\(528\) | −339.705 | − | 4017.35i | −0.0279995 | − | 0.331123i | ||||
\(529\) | 1888.42 | + | 17967.1i | 0.155208 | + | 1.47671i | ||||
\(530\) | −3063.51 | − | 10924.0i | −0.251076 | − | 0.895298i | ||||
\(531\) | 2926.17 | + | 2313.70i | 0.239143 | + | 0.189089i | ||||
\(532\) | − | 970.523i | − | 0.0790931i | ||||||
\(533\) | 3049.73 | + | 6849.81i | 0.247840 | + | 0.556657i | ||||
\(534\) | 6912.86 | + | 2402.80i | 0.560204 | + | 0.194718i | ||||
\(535\) | −4694.88 | − | 687.792i | −0.379397 | − | 0.0555810i | ||||
\(536\) | −4394.09 | + | 4880.13i | −0.354096 | + | 0.393264i | ||||
\(537\) | −13296.5 | + | 2544.47i | −1.06850 | + | 0.204473i | ||||
\(538\) | 4452.19 | − | 4008.77i | 0.356780 | − | 0.321246i | ||||
\(539\) | −2877.09 | − | 8854.78i | −0.229917 | − | 0.707611i | ||||
\(540\) | −17471.6 | − | 5621.05i | −1.39233 | − | 0.447947i | ||||
\(541\) | 2451.33 | − | 7544.42i | 0.194808 | − | 0.599556i | −0.805171 | − | 0.593043i | \(-0.797927\pi\) |
0.999979 | − | 0.00651378i | \(-0.00207342\pi\) | |||||||
\(542\) | 7328.38 | + | 16459.8i | 0.580777 | + | 1.30445i | ||||
\(543\) | −9497.91 | − | 17252.8i | −0.750634 | − | 1.36352i | ||||
\(544\) | −2948.67 | + | 28054.7i | −0.232396 | + | 2.21110i | ||||
\(545\) | 7654.09 | + | 3788.61i | 0.601587 | + | 0.297773i | ||||
\(546\) | −2980.43 | − | 4282.94i | −0.233609 | − | 0.335702i | ||||
\(547\) | 15742.6 | − | 1654.61i | 1.23054 | − | 0.129334i | 0.533144 | − | 0.846025i | \(-0.321010\pi\) |
0.697392 | + | 0.716690i | \(0.254344\pi\) | |||||||
\(548\) | 4111.22 | − | 1335.82i | 0.320480 | − | 0.104130i | ||||
\(549\) | −10141.3 | − | 19343.5i | −0.788376 | − | 1.50375i | ||||
\(550\) | 13555.4 | − | 15776.9i | 1.05092 | − | 1.22315i | ||||
\(551\) | 822.228 | − | 1424.14i | 0.0635718 | − | 0.110110i | ||||
\(552\) | 14451.3 | + | 3380.63i | 1.11429 | + | 0.260669i | ||||
\(553\) | −509.141 | + | 1143.55i | −0.0391517 | + | 0.0879362i | ||||
\(554\) | −25744.2 | − | 11462.1i | −1.97431 | − | 0.879019i | ||||
\(555\) | −7894.97 | + | 6279.70i | −0.603825 | + | 0.480286i | ||||
\(556\) | 1469.21 | − | 654.137i | 0.112066 | − | 0.0498949i | ||||
\(557\) | − | 17004.9i | − | 1.29357i | −0.762671 | − | 0.646787i | \(-0.776112\pi\) | ||
0.762671 | − | 0.646787i | \(-0.223888\pi\) | |||||||
\(558\) | −9849.35 | − | 24792.2i | −0.747234 | − | 1.88089i | ||||
\(559\) | −2163.73 | + | 6659.26i | −0.163714 | + | 0.503858i | ||||
\(560\) | −2246.61 | + | 143.926i | −0.169530 | + | 0.0108607i | ||||
\(561\) | −23557.9 | + | 7127.52i | −1.77293 | + | 0.536407i | ||||
\(562\) | −4524.63 | − | 21286.7i | −0.339609 | − | 1.59773i | ||||
\(563\) | 5195.10 | + | 24441.0i | 0.388894 | + | 1.82960i | 0.540731 | + | 0.841196i | \(0.318148\pi\) |
−0.151837 | + | 0.988406i | \(0.548519\pi\) | |||||||
\(564\) | −7551.63 | − | 7083.18i | −0.563796 | − | 0.528822i | ||||
\(565\) | 9371.54 | − | 600.373i | 0.697812 | − | 0.0447042i | ||||
\(566\) | 7888.86 | − | 24279.4i | 0.585854 | − | 1.80307i | ||||
\(567\) | −4621.92 | + | 5379.85i | −0.342332 | + | 0.398470i | ||||
\(568\) | − | 14605.3i | − | 1.07892i | ||||||
\(569\) | 19744.6 | − | 8790.85i | 1.45472 | − | 0.647683i | 0.481268 | − | 0.876573i | \(-0.340176\pi\) |
0.973452 | + | 0.228890i | \(0.0735097\pi\) | |||||||
\(570\) | 324.891 | + | 2174.17i | 0.0238740 | + | 0.159765i | ||||
\(571\) | 9342.89 | + | 4159.72i | 0.684742 | + | 0.304867i | 0.719464 | − | 0.694530i | \(-0.244388\pi\) |
−0.0347215 | + | 0.999397i | \(0.511054\pi\) | |||||||
\(572\) | 4149.04 | − | 9318.89i | 0.303287 | − | 0.681193i | ||||
\(573\) | 2065.70 | + | 6827.53i | 0.150603 | + | 0.497774i | ||||
\(574\) | −6962.19 | + | 12058.9i | −0.506265 | + | 0.876877i | ||||
\(575\) | −11301.6 | − | 18565.2i | −0.819669 | − | 1.34647i | ||||
\(576\) | −11920.1 | + | 18831.6i | −0.862279 | + | 1.36224i | ||||
\(577\) | −10877.6 | + | 3534.34i | −0.784816 | + | 0.255002i | −0.673895 | − | 0.738827i | \(-0.735380\pi\) |
−0.110921 | + | 0.993829i | \(0.535380\pi\) | |||||||
\(578\) | 48776.1 | − | 5126.58i | 3.51007 | − | 0.368923i | ||||
\(579\) | 23356.3 | − | 1974.99i | 1.67643 | − | 0.141758i | ||||
\(580\) | 22615.3 | + | 11194.1i | 1.61905 | + | 0.801397i | ||||
\(581\) | −724.686 | + | 6894.93i | −0.0517471 | + | 0.492341i | ||||
\(582\) | 8798.48 | − | 14547.1i | 0.626647 | − | 1.03608i | ||||
\(583\) | −3486.23 | − | 7830.21i | −0.247659 | − | 0.556251i | ||||
\(584\) | 1224.62 | − | 3769.00i | 0.0867727 | − | 0.267059i | ||||
\(585\) | 4817.05 | + | 5105.95i | 0.340445 | + | 0.360864i | ||||
\(586\) | 7052.45 | + | 21705.2i | 0.497157 | + | 1.53009i | ||||
\(587\) | −4862.27 | + | 4378.01i | −0.341887 | + | 0.307836i | −0.822131 | − | 0.569299i | \(-0.807215\pi\) |
0.480244 | + | 0.877135i | \(0.340548\pi\) | |||||||
\(588\) | −4957.30 | + | 14262.2i | −0.347679 | + | 1.00028i | ||||
\(589\) | −1269.84 | + | 1410.30i | −0.0888333 | + | 0.0986594i | ||||
\(590\) | 6783.84 | + | 993.820i | 0.473366 | + | 0.0693473i | ||||
\(591\) | −1981.92 | − | 10356.8i | −0.137945 | − | 0.720850i | ||||
\(592\) | 1461.71 | + | 3283.05i | 0.101479 | + | 0.227927i | ||||
\(593\) | 21625.8i | 1.49758i | 0.662807 | + | 0.748790i | \(0.269365\pi\) | ||||
−0.662807 | + | 0.748790i | \(0.730635\pi\) | |||||||
\(594\) | −23025.7 | − | 3853.10i | −1.59050 | − | 0.266153i | ||||
\(595\) | 3710.94 | + | 13232.6i | 0.255687 | + | 0.911739i | ||||
\(596\) | −250.598 | − | 2384.28i | −0.0172230 | − | 0.163866i | ||||
\(597\) | −1755.31 | − | 824.736i | −0.120335 | − | 0.0565397i | ||||
\(598\) | −13336.8 | − | 12008.5i | −0.912010 | − | 0.821178i | ||||
\(599\) | 1869.46 | + | 3237.99i | 0.127519 | + | 0.220870i | 0.922715 | − | 0.385483i | \(-0.125965\pi\) |
−0.795196 | + | 0.606353i | \(0.792632\pi\) | |||||||
\(600\) | −10429.9 | + | 2248.27i | −0.709667 | + | 0.152975i | ||||
\(601\) | 7758.29 | − | 13437.7i | 0.526568 | − | 0.912042i | −0.472953 | − | 0.881088i | \(-0.656812\pi\) |
0.999521 | − | 0.0309542i | \(-0.00985461\pi\) | |||||||
\(602\) | −12366.7 | + | 4018.18i | −0.837257 | + | 0.272041i | ||||
\(603\) | −5983.60 | − | 8983.31i | −0.404098 | − | 0.606681i | ||||
\(604\) | −4138.57 | + | 3006.85i | −0.278802 | + | 0.202561i | ||||
\(605\) | 445.703 | − | 704.094i | 0.0299511 | − | 0.0473149i | ||||
\(606\) | 13458.4 | + | 31964.1i | 0.902161 | + | 2.14266i | ||||
\(607\) | −21010.8 | + | 12130.6i | −1.40494 | + | 0.811144i | −0.994895 | − | 0.100920i | \(-0.967821\pi\) |
−0.410048 | + | 0.912064i | \(0.634488\pi\) | |||||||
\(608\) | 1893.05 | + | 198.967i | 0.126272 | + | 0.0132717i | ||||
\(609\) | 7378.15 | − | 6376.16i | 0.490932 | − | 0.424261i | ||||
\(610\) | −33917.7 | − | 21470.4i | −2.25129 | − | 1.42510i | ||||
\(611\) | 1223.68 | + | 3766.11i | 0.0810227 | + | 0.249362i | ||||
\(612\) | 37427.8 | + | 13869.6i | 2.47211 | + | 0.916090i | ||||
\(613\) | 8068.10 | + | 2621.48i | 0.531595 | + | 0.172726i | 0.562501 | − | 0.826797i | \(-0.309839\pi\) |
−0.0309063 | + | 0.999522i | \(0.509839\pi\) | |||||||
\(614\) | 10990.4 | + | 2336.09i | 0.722374 | + | 0.153545i | ||||
\(615\) | 6865.74 | − | 17428.8i | 0.450168 | − | 1.14276i | ||||
\(616\) | 5860.77 | − | 1245.75i | 0.383340 | − | 0.0814814i | ||||
\(617\) | 1609.94 | + | 169.212i | 0.105047 | + | 0.0110409i | 0.156906 | − | 0.987614i | \(-0.449848\pi\) |
−0.0518592 | + | 0.998654i | \(0.516515\pi\) | |||||||
\(618\) | 22546.8 | + | 40955.9i | 1.46758 | + | 2.66584i | ||||
\(619\) | 7639.30 | − | 3401.23i | 0.496041 | − | 0.220852i | −0.143439 | − | 0.989659i | \(-0.545816\pi\) |
0.639480 | + | 0.768807i | \(0.279150\pi\) | |||||||
\(620\) | −22842.5 | − | 18062.2i | −1.47964 | − | 1.17000i | ||||
\(621\) | −11263.9 | + | 21638.0i | −0.727868 | + | 1.39823i | ||||
\(622\) | 9701.50 | + | 13353.0i | 0.625394 | + | 0.860781i | ||||
\(623\) | 641.884 | − | 3019.83i | 0.0412785 | − | 0.194200i | ||||
\(624\) | 2190.67 | − | 1205.99i | 0.140540 | − | 0.0773693i | ||||
\(625\) | 13053.8 | + | 8587.09i | 0.835445 | + | 0.549574i | ||||
\(626\) | 73.6518 | + | 127.569i | 0.00470242 | + | 0.00814483i | ||||
\(627\) | 480.943 | + | 1589.61i | 0.0306332 | + | 0.101249i | ||||
\(628\) | 4316.54 | − | 453.687i | 0.274281 | − | 0.0288281i | ||||
\(629\) | 17749.0 | − | 12895.4i | 1.12512 | − | 0.817445i | ||||
\(630\) | −2413.09 | + | 12810.6i | −0.152603 | + | 0.810135i | ||||
\(631\) | −11199.3 | − | 8136.79i | −0.706559 | − | 0.513345i | 0.175503 | − | 0.984479i | \(-0.443845\pi\) |
−0.882062 | + | 0.471134i | \(0.843845\pi\) | |||||||
\(632\) | 1830.33 | + | 1056.74i | 0.115201 | + | 0.0665111i | ||||
\(633\) | 3563.14 | − | 1500.25i | 0.223731 | − | 0.0942015i | ||||
\(634\) | −46580.7 | + | 9901.04i | −2.91791 | + | 0.620222i | ||||
\(635\) | −2615.49 | − | 15356.8i | −0.163453 | − | 0.959712i | ||||
\(636\) | −3166.26 | + | 13534.9i | −0.197406 | + | 0.843857i | ||||
\(637\) | 4291.59 | − | 3864.16i | 0.266937 | − | 0.240351i | ||||
\(638\) | 30527.0 | + | 9918.81i | 1.89432 | + | 0.615501i | ||||
\(639\) | 23258.9 | + | 5942.97i | 1.43992 | + | 0.367919i | ||||
\(640\) | −855.079 | + | 20975.2i | −0.0528125 | + | 1.29549i | ||||
\(641\) | 3130.31 | + | 3476.56i | 0.192886 | + | 0.214221i | 0.831828 | − | 0.555033i | \(-0.187294\pi\) |
−0.638942 | + | 0.769255i | \(0.720628\pi\) | |||||||
\(642\) | 7800.10 | + | 5913.43i | 0.479510 | + | 0.363528i | ||||
\(643\) | −7313.69 | + | 4222.56i | −0.448560 | + | 0.258976i | −0.707222 | − | 0.706992i | \(-0.750052\pi\) |
0.258662 | + | 0.965968i | \(0.416718\pi\) | |||||||
\(644\) | 2069.06 | − | 19685.8i | 0.126603 | − | 1.20455i | ||||
\(645\) | 15655.2 | − | 7805.03i | 0.955694 | − | 0.476470i | ||||
\(646\) | −499.734 | − | 4754.65i | −0.0304362 | − | 0.289581i | ||||
\(647\) | −7918.42 | − | 10898.8i | −0.481152 | − | 0.662249i | 0.497574 | − | 0.867422i | \(-0.334224\pi\) |
−0.978726 | + | 0.205173i | \(0.934224\pi\) | |||||||
\(648\) | 8217.86 | + | 8710.35i | 0.498191 | + | 0.528048i | ||||
\(649\) | 5179.75 | 0.313287 | ||||||||
\(650\) | 12359.5 | + | 3700.73i | 0.745817 | + | 0.223315i | ||||
\(651\) | −9858.39 | + | 5427.18i | −0.593519 | + | 0.326740i | ||||
\(652\) | 14851.4 | + | 13372.3i | 0.892063 | + | 0.803217i | ||||
\(653\) | 9939.25 | − | 22323.9i | 0.595640 | − | 1.33783i | −0.324369 | − | 0.945931i | \(-0.605152\pi\) |
0.920008 | − | 0.391898i | \(-0.128182\pi\) | |||||||
\(654\) | −10063.1 | − | 14460.9i | −0.601678 | − | 0.864626i | ||||
\(655\) | 9868.98 | + | 2521.89i | 0.588722 | + | 0.150440i | ||||
\(656\) | −5398.80 | − | 3922.46i | −0.321323 | − | 0.233455i | ||||
\(657\) | 5503.81 | + | 3483.83i | 0.326825 | + | 0.206876i | ||||
\(658\) | −4322.47 | + | 5949.38i | −0.256091 | + | 0.352478i | ||||
\(659\) | −1082.04 | − | 1201.73i | −0.0639611 | − | 0.0710360i | 0.710315 | − | 0.703884i | \(-0.248552\pi\) |
−0.774276 | + | 0.632848i | \(0.781886\pi\) | |||||||
\(660\) | −23870.8 | + | 8924.44i | −1.40784 | + | 0.526339i | ||||
\(661\) | 6417.44 | − | 7127.29i | 0.377624 | − | 0.419394i | −0.524134 | − | 0.851636i | \(-0.675611\pi\) |
0.901758 | + | 0.432242i | \(0.142277\pi\) | |||||||
\(662\) | 1388.01 | + | 6530.07i | 0.0814902 | + | 0.383381i | ||||
\(663\) | −9981.92 | − | 11550.6i | −0.584715 | − | 0.676601i | ||||
\(664\) | 11449.7 | + | 2433.71i | 0.669179 | + | 0.142238i | ||||
\(665\) | 892.898 | − | 250.403i | 0.0520678 | − | 0.0146018i | ||||
\(666\) | 20514.4 | − | 3494.35i | 1.19357 | − | 0.203308i | ||||
\(667\) | 19713.9 | − | 27133.9i | 1.14442 | − | 1.57516i | ||||
\(668\) | 392.805 | + | 226.786i | 0.0227516 | + | 0.0131356i | ||||
\(669\) | 4676.17 | − | 6168.08i | 0.270241 | − | 0.356460i | ||||
\(670\) | −17779.4 | − | 8800.45i | −1.02519 | − | 0.507450i | ||||
\(671\) | −27704.7 | − | 12334.9i | −1.59393 | − | 0.709664i | ||||
\(672\) | 10216.1 | + | 4800.04i | 0.586448 | + | 0.275544i | ||||
\(673\) | −1307.38 | + | 6150.74i | −0.0748823 | + | 0.352294i | −0.999598 | − | 0.0283659i | \(-0.990970\pi\) |
0.924715 | + | 0.380659i | \(0.124303\pi\) | |||||||
\(674\) | 30379.6 | 1.73617 | ||||||||
\(675\) | 663.638 | − | 17524.5i | 0.0378421 | − | 0.999284i | ||||
\(676\) | −19379.8 | −1.10263 | ||||||||
\(677\) | −4116.51 | + | 19366.7i | −0.233693 | + | 1.09944i | 0.692215 | + | 0.721691i | \(0.256635\pi\) |
−0.925908 | + | 0.377749i | \(0.876698\pi\) | |||||||
\(678\) | −17533.0 | − | 8237.90i | −0.993140 | − | 0.466629i | ||||
\(679\) | −6551.73 | − | 2917.02i | −0.370298 | − | 0.164867i | ||||
\(680\) | 22874.5 | − | 3895.85i | 1.28999 | − | 0.219705i | ||||
\(681\) | 13915.4 | − | 18355.0i | 0.783023 | − | 1.03284i | ||||
\(682\) | −32079.2 | − | 18521.0i | −1.80114 | − | 1.03989i | ||||
\(683\) | −9984.25 | + | 13742.1i | −0.559351 | + | 0.769881i | −0.991244 | − | 0.132044i | \(-0.957846\pi\) |
0.431893 | + | 0.901925i | \(0.357846\pi\) | |||||||
\(684\) | 935.882 | − | 2525.52i | 0.0523163 | − | 0.141178i | ||||
\(685\) | 2289.70 | + | 3437.74i | 0.127716 | + | 0.191751i | ||||
\(686\) | 24978.4 | + | 5309.32i | 1.39020 | + | 0.295497i | ||||
\(687\) | 15519.1 | + | 17957.9i | 0.861852 | + | 0.997290i | ||||
\(688\) | −1295.66 | − | 6095.59i | −0.0717972 | − | 0.337779i | ||||
\(689\) | 3557.35 | − | 3950.84i | 0.196697 | − | 0.218454i | ||||
\(690\) | 1954.87 | + | 44792.8i | 0.107856 | + | 2.47135i | ||||
\(691\) | −8781.41 | − | 9752.75i | −0.483445 | − | 0.536920i | 0.451237 | − | 0.892404i | \(-0.350983\pi\) |
−0.934683 | + | 0.355484i | \(0.884316\pi\) | |||||||
\(692\) | −21698.6 | + | 29865.5i | −1.19199 | + | 1.64063i | ||||
\(693\) | −400.935 | + | 9840.15i | −0.0219773 | + | 0.539389i | ||||
\(694\) | −29246.0 | − | 21248.5i | −1.59966 | − | 1.16222i | ||||
\(695\) | 980.886 | + | 1182.93i | 0.0535355 | + | 0.0645627i | ||||
\(696\) | −9404.37 | − | 13514.3i | −0.512172 | − | 0.736004i | ||||
\(697\) | −16569.9 | + | 37216.7i | −0.900476 | + | 2.02250i | ||||
\(698\) | −23991.9 | − | 21602.4i | −1.30101 | − | 1.17144i | ||||
\(699\) | 29955.1 | − | 16490.7i | 1.62089 | − | 0.892325i | ||||
\(700\) | 4710.54 | + | 13427.8i | 0.254345 | + | 0.725034i | ||||
\(701\) | 37047.9 | 1.99612 | 0.998060 | − | 0.0622542i | \(-0.0198289\pi\) | ||||
0.998060 | + | 0.0622542i | \(0.0198289\pi\) | |||||||
\(702\) | −3625.66 | − | 14019.2i | −0.194931 | − | 0.753734i | ||||
\(703\) | −870.141 | − | 1197.65i | −0.0466828 | − | 0.0642534i | ||||
\(704\) | 3234.80 | + | 30777.0i | 0.173176 | + | 1.64766i | ||||
\(705\) | 4568.26 | − | 8775.15i | 0.244043 | − | 0.468782i | ||||
\(706\) | 4868.46 | − | 46320.3i | 0.259528 | − | 2.46925i | ||||
\(707\) | 12670.3 | − | 7315.18i | 0.673995 | − | 0.389131i | ||||
\(708\) | −6693.98 | − | 5074.86i | −0.355332 | − | 0.269385i | ||||
\(709\) | −12120.7 | − | 13461.4i | −0.642035 | − | 0.713052i | 0.331020 | − | 0.943624i | \(-0.392607\pi\) |
−0.973055 | + | 0.230571i | \(0.925940\pi\) | |||||||
\(710\) | 42483.2 | − | 11913.9i | 2.24558 | − | 0.629749i | ||||
\(711\) | −2427.63 | + | 2484.80i | −0.128050 | + | 0.131065i | ||||
\(712\) | −4957.45 | − | 1610.77i | −0.260939 | − | 0.0847841i | ||||
\(713\) | −28763.7 | + | 25898.9i | −1.51081 | + | 1.36034i | ||||
\(714\) | 6457.70 | − | 27604.9i | 0.338478 | − | 1.44690i | ||||
\(715\) | 9644.02 | + | 1412.83i | 0.504428 | + | 0.0738978i | ||||
\(716\) | 29818.7 | − | 6338.15i | 1.55639 | − | 0.330821i | ||||
\(717\) | 24258.2 | − | 10213.8i | 1.26351 | − | 0.531998i | ||||
\(718\) | −32364.6 | − | 18685.7i | −1.68222 | − | 0.971233i | ||||
\(719\) | 21579.2 | + | 15678.2i | 1.11929 | + | 0.813210i | 0.984101 | − | 0.177610i | \(-0.0568365\pi\) |
0.135187 | + | 0.990820i | \(0.456837\pi\) | |||||||
\(720\) | −5984.97 | − | 1791.90i | −0.309787 | − | 0.0927500i | ||||
\(721\) | 15955.5 | − | 11592.3i | 0.824151 | − | 0.598781i | ||||
\(722\) | 29956.6 | − | 3148.56i | 1.54414 | − | 0.162295i | ||||
\(723\) | −2293.01 | − | 7578.84i | −0.117950 | − | 0.389848i | ||||
\(724\) | 22174.4 | + | 38407.1i | 1.13826 | + | 1.97153i | ||||
\(725\) | −4463.83 | + | 23694.7i | −0.228665 | + | 1.21379i | ||||
\(726\) | −1505.88 | + | 829.010i | −0.0769816 | + | 0.0423794i | ||||
\(727\) | 2189.88 | − | 10302.6i | 0.111717 | − | 0.525586i | −0.886327 | − | 0.463061i | \(-0.846751\pi\) |
0.998043 | − | 0.0625254i | \(-0.0199154\pi\) | |||||||
\(728\) | 2184.45 | + | 3006.64i | 0.111210 | + | 0.153068i | ||||
\(729\) | −17215.1 | + | 9542.61i | −0.874617 | + | 0.484815i | ||||
\(730\) | 11962.0 | + | 487.648i | 0.606486 | + | 0.0247242i | ||||
\(731\) | −34754.4 | + | 15473.6i | −1.75846 | + | 0.782918i | ||||
\(732\) | 23718.6 | + | 43084.5i | 1.19763 | + | 2.17548i | ||||
\(733\) | −19310.2 | − | 2029.59i | −0.973042 | − | 0.102271i | −0.395354 | − | 0.918529i | \(-0.629378\pi\) |
−0.577688 | + | 0.816258i | \(0.696045\pi\) | |||||||
\(734\) | −30171.3 | + | 6413.11i | −1.51723 | + | 0.322496i | ||||
\(735\) | −14400.5 | − | 881.036i | −0.722679 | − | 0.0442143i | ||||
\(736\) | 37973.9 | + | 8071.59i | 1.90181 | + | 0.404243i | ||||
\(737\) | −14253.9 | − | 4631.36i | −0.712412 | − | 0.231477i | ||||
\(738\) | −29745.6 | + | 24666.2i | −1.48367 | + | 1.23032i | ||||
\(739\) | −1790.33 | − | 5510.06i | −0.0891181 | − | 0.274277i | 0.896558 | − | 0.442926i | \(-0.146060\pi\) |
−0.985676 | + | 0.168649i | \(0.946060\pi\) | |||||||
\(740\) | 17486.6 | − | 14499.9i | 0.868677 | − | 0.720308i | ||||
\(741\) | −779.396 | + | 673.550i | −0.0386395 | + | 0.0333920i | ||||
\(742\) | 9818.79 | + | 1032.00i | 0.485794 | + | 0.0510590i | ||||
\(743\) | 771.481 | − | 445.415i | 0.0380927 | − | 0.0219929i | −0.480833 | − | 0.876812i | \(-0.659666\pi\) |
0.518925 | + | 0.854820i | \(0.326332\pi\) | |||||||
\(744\) | 7373.17 | + | 17511.5i | 0.363325 | + | 0.862908i | ||||
\(745\) | 2128.92 | − | 845.719i | 0.104695 | − | 0.0415903i | ||||
\(746\) | −1687.96 | + | 1226.37i | −0.0828424 | + | 0.0601885i | ||||
\(747\) | −8534.62 | + | 17243.3i | −0.418026 | + | 0.844578i | ||||
\(748\) | 52710.8 | − | 17126.8i | 2.57660 | − | 0.837188i | ||||
\(749\) | 2064.57 | − | 3575.93i | 0.100718 | − | 0.174448i | ||||
\(750\) | −15047.6 | − | 28504.1i | −0.732616 | − | 1.38776i | ||||
\(751\) | −11956.4 | − | 20709.1i | −0.580953 | − | 1.00624i | −0.995367 | − | 0.0961511i | \(-0.969347\pi\) |
0.414414 | − | 0.910088i | \(-0.363987\pi\) | |||||||
\(752\) | −2619.09 | − | 2358.24i | −0.127006 | − | 0.114357i | ||||
\(753\) | −5826.83 | − | 2737.75i | −0.281994 | − | 0.132496i | ||||
\(754\) | 2081.06 | + | 19800.0i | 0.100514 | + | 0.956330i | ||||
\(755\) | −3834.14 | − | 3031.77i | −0.184819 | − | 0.146142i | ||||
\(756\) | 10159.0 | − | 12324.0i | 0.488730 | − | 0.592881i | ||||
\(757\) | 38237.3i | 1.83588i | 0.396724 | + | 0.917938i | \(0.370147\pi\) | ||||
−0.396724 | + | 0.917938i | \(0.629853\pi\) | |||||||
\(758\) | −20360.5 | − | 45730.5i | −0.975631 | − | 2.19130i | ||||
\(759\) | 6366.41 | + | 33268.5i | 0.304461 | + | 1.59100i | ||||
\(760\) | −262.880 | − | 1543.50i | −0.0125469 | − | 0.0736692i | ||||
\(761\) | 25403.6 | − | 28213.5i | 1.21009 | − | 1.34394i | 0.287683 | − | 0.957726i | \(-0.407115\pi\) |
0.922408 | − | 0.386217i | \(-0.126218\pi\) | |||||||
\(762\) | −10550.5 | + | 30353.9i | −0.501580 | + | 1.44305i | ||||
\(763\) | −5523.00 | + | 4972.93i | −0.262052 | + | 0.235953i | ||||
\(764\) | −4963.68 | − | 15276.6i | −0.235052 | − | 0.723415i | ||||
\(765\) | −3103.61 | + | 38012.7i | −0.146682 | + | 1.79654i | ||||
\(766\) | −13474.5 | + | 41470.3i | −0.635580 | + | 1.95611i | ||||
\(767\) | 1306.76 | + | 2935.03i | 0.0615180 | + | 0.138172i | ||||
\(768\) | 4653.29 | − | 7693.61i | 0.218634 | − | 0.361483i | ||||
\(769\) | −2128.89 | + | 20255.1i | −0.0998307 | + | 0.949826i | 0.823888 | + | 0.566753i | \(0.191801\pi\) |
−0.923718 | + | 0.383073i | \(0.874866\pi\) | |||||||
\(770\) | 8404.35 | + | 16031.3i | 0.393340 | + | 0.750298i | ||||
\(771\) | 6388.73 | − | 540.226i | 0.298423 | − | 0.0252345i | ||||
\(772\) | −52493.3 | + | 5517.27i | −2.44725 | + | 0.257216i | ||||
\(773\) | 2313.96 | − | 751.852i | 0.107668 | − | 0.0349835i | −0.254687 | − | 0.967023i | \(-0.581973\pi\) |
0.362356 | + | 0.932040i | \(0.381973\pi\) | |||||||
\(774\) | −36055.6 | − | 1469.08i | −1.67441 | − | 0.0682236i | ||||
\(775\) | 10724.0 | − | 25675.7i | 0.497055 | − | 1.19006i | ||||
\(776\) | −6054.39 | + | 10486.5i | −0.280077 | + | 0.485108i | ||||
\(777\) | −2542.17 | − | 8402.39i | −0.117375 | − | 0.387946i | ||||
\(778\) | 11429.5 | − | 25671.0i | 0.526692 | − | 1.18297i | ||||
\(779\) | 2511.27 | + | 1118.09i | 0.115501 | + | 0.0514245i | ||||
\(780\) | −11079.1 | − | 11274.6i | −0.508583 | − | 0.517557i | ||||
\(781\) | 30451.5 | − | 13557.9i | 1.39519 | − | 0.621177i | ||||
\(782\) | − | 97507.3i | − | 4.45889i | ||||||
\(783\) | 25348.2 | − | 9477.38i | 1.15692 | − | 0.432559i | ||||
\(784\) | −1588.25 | + | 4888.12i | −0.0723509 | + | 0.222673i | ||||
\(785\) | 1531.10 | + | 3854.23i | 0.0696145 | + | 0.175240i | ||||
\(786\) | −15325.9 | − | 14375.1i | −0.695490 | − | 0.652346i | ||||
\(787\) | −1091.71 | − | 5136.07i | −0.0494474 | − | 0.232632i | 0.946483 | − | 0.322752i | \(-0.104608\pi\) |
−0.995931 | + | 0.0901205i | \(0.971275\pi\) | |||||||
\(788\) | 4936.88 | + | 23226.2i | 0.223184 | + | 1.05000i | ||||
\(789\) | 6926.74 | − | 2095.71i | 0.312546 | − | 0.0945619i | ||||
\(790\) | −1580.75 | + | 6186.00i | −0.0711907 | + | 0.278592i | ||||
\(791\) | −2525.26 | + | 7771.94i | −0.113512 | + | 0.349353i | ||||
\(792\) | 16452.3 | + | 2409.87i | 0.738141 | + | 0.108120i | ||||
\(793\) | − | 18810.3i | − | 0.842338i | ||||||
\(794\) | −37647.7 | + | 16761.8i | −1.68270 | + | 0.749188i | ||||
\(795\) | −13269.2 | + | 579.104i | −0.591964 | + | 0.0258348i | ||||
\(796\) | 3989.67 | + | 1776.31i | 0.177651 | + | 0.0790952i | ||||
\(797\) | −4710.89 | + | 10580.8i | −0.209371 | + | 0.470254i | −0.987454 | − | 0.157907i | \(-0.949525\pi\) |
0.778083 | + | 0.628161i | \(0.216192\pi\) | |||||||
\(798\) | −1862.69 | − | 435.746i | −0.0826299 | − | 0.0193299i | ||||
\(799\) | −10757.6 | + | 18632.7i | −0.476316 | + | 0.825004i | ||||
\(800\) | −27157.3 | + | 6435.28i | −1.20019 | + | 0.284402i | ||||
\(801\) | 4582.36 | − | 7239.28i | 0.202135 | − | 0.319335i | ||||
\(802\) | 2740.62 | − | 890.483i | 0.120667 | − | 0.0392070i | ||||
\(803\) | 8995.03 | − | 945.416i | 0.395302 | − | 0.0415479i | ||||
\(804\) | 13883.2 | + | 19950.5i | 0.608983 | + | 0.875123i | ||||
\(805\) | 18645.1 | − | 3175.53i | 0.816340 | − | 0.139034i | ||||
\(806\) | 2401.60 | − | 22849.7i | 0.104954 | − | 0.998569i | ||||
\(807\) | −3382.39 | − | 6144.07i | −0.147541 | − | 0.268007i | ||||
\(808\) | −10047.1 | − | 22566.3i | −0.437447 | − | 0.982522i | ||||
\(809\) | 12737.4 | − | 39201.6i | 0.553551 | − | 1.70365i | −0.146190 | − | 0.989257i | \(-0.546701\pi\) |
0.699740 | − | 0.714397i | \(-0.253299\pi\) | |||||||
\(810\) | −18632.7 | + | 31009.0i | −0.808255 | + | 1.34512i | ||||
\(811\) | 3315.75 | + | 10204.8i | 0.143565 | + | 0.441849i | 0.996824 | − | 0.0796396i | \(-0.0253769\pi\) |
−0.853258 | + | 0.521489i | \(0.825377\pi\) | |||||||
\(812\) | −16318.7 | + | 14693.4i | −0.705262 | + | 0.635021i | ||||
\(813\) | 20716.8 | − | 3964.46i | 0.893692 | − | 0.171021i | ||||
\(814\) | 19334.7 | − | 21473.4i | 0.832532 | − | 0.924620i | ||||
\(815\) | −8470.91 | + | 17113.7i | −0.364077 | + | 0.735541i | ||||
\(816\) | 12833.7 | + | 4460.79i | 0.550576 | + | 0.191371i | ||||
\(817\) | 1044.11 | + | 2345.12i | 0.0447111 | + | 0.100423i | ||||
\(818\) | 35687.7i | 1.52542i | ||||||||
\(819\) | −5676.92 | + | 2255.31i | −0.242207 | + | 0.0962233i | ||||
\(820\) | −14658.3 | + | 39553.5i | −0.624256 | + | 1.68447i | ||||
\(821\) | −3916.74 | − | 37265.3i | −0.166498 | − | 1.58413i | −0.684672 | − | 0.728851i | \(-0.740055\pi\) |
0.518174 | − | 0.855275i | \(-0.326612\pi\) | |||||||
\(822\) | −717.933 | − | 8490.30i | −0.0304633 | − | 0.360259i | ||||
\(823\) | 1967.01 | + | 1771.11i | 0.0833120 | + | 0.0750145i | 0.709735 | − | 0.704469i | \(-0.248815\pi\) |
−0.626423 | + | 0.779484i | \(0.715482\pi\) | |||||||
\(824\) | −16649.3 | − | 28837.5i | −0.703891 | − | 1.21918i | ||||
\(825\) | −14369.5 | − | 19659.0i | −0.606403 | − | 0.829622i | ||||
\(826\) | −2983.18 | + | 5167.02i | −0.125663 | + | 0.217656i | ||||
\(827\) | −28453.7 | + | 9245.15i | −1.19641 | + | 0.388737i | −0.838439 | − | 0.544996i | \(-0.816531\pi\) |
−0.357971 | + | 0.933733i | \(0.616531\pi\) | |||||||
\(828\) | 24367.3 | − | 49231.6i | 1.02273 | − | 2.06632i | ||||
\(829\) | −25079.5 | + | 18221.3i | −1.05072 | + | 0.763392i | −0.972349 | − | 0.233533i | \(-0.924971\pi\) |
−0.0783695 | + | 0.996924i | \(0.524971\pi\) | |||||||
\(830\) | 2260.77 | + | 35289.6i | 0.0945453 | + | 1.47581i | ||||
\(831\) | −19930.7 | + | 26289.5i | −0.831995 | + | 1.09744i | ||||
\(832\) | −16623.3 | + | 9597.44i | −0.692678 | + | 0.399918i | ||||
\(833\) | 31204.6 | + | 3279.73i | 1.29793 | + | 0.136418i | ||||
\(834\) | −595.815 | − | 3113.51i | −0.0247379 | − | 0.129271i | ||||
\(835\) | −107.300 | + | 419.900i | −0.00444703 | + | 0.0174027i | ||||
\(836\) | −1155.66 | − | 3556.76i | −0.0478103 | − | 0.147145i | ||||
\(837\) | −30887.2 | + | 4616.22i | −1.27553 | + | 0.190633i | ||||
\(838\) | −67273.4 | − | 21858.5i | −2.77318 | − | 0.901060i | ||||
\(839\) | 8899.79 | + | 1891.71i | 0.366216 | + | 0.0778415i | 0.387344 | − | 0.921935i | \(-0.373393\pi\) |
−0.0211285 | + | 0.999777i | \(0.506726\pi\) | |||||||
\(840\) | 1532.58 | − | 9157.31i | 0.0629513 | − | 0.376140i | ||||
\(841\) | −12538.1 | + | 2665.06i | −0.514089 | + | 0.109273i | ||||
\(842\) | −37016.7 | − | 3890.61i | −1.51506 | − | 0.159239i | ||||
\(843\) | −25471.4 | − | 518.699i | −1.04067 | − | 0.0211921i | ||||
\(844\) | −7953.17 | + | 3540.98i | −0.324360 | + | 0.144414i | ||||
\(845\) | −5000.14 | − | 17829.7i | −0.203562 | − | 0.725871i | ||||
\(846\) | −16985.1 | + | 11313.4i | −0.690258 | + | 0.459767i | ||||
\(847\) | 426.232 | + | 586.658i | 0.0172910 | + | 0.0237991i | ||||
\(848\) | −983.754 | + | 4628.20i | −0.0398375 | + | 0.187421i | ||||
\(849\) | −25572.6 | − | 15466.9i | −1.03374 | − | 0.625235i | ||||
\(850\) | 29991.4 | + | 63358.2i | 1.21023 | + | 2.55667i | ||||
\(851\) | −15096.4 | − | 26147.8i | −0.608106 | − | 1.05327i | ||||
\(852\) | −52636.9 | − | 12313.5i | −2.11656 | − | 0.495134i | ||||
\(853\) | −23201.6 | + | 2438.58i | −0.931309 | + | 0.0978845i | −0.558017 | − | 0.829830i | \(-0.688438\pi\) |
−0.373292 | + | 0.927714i | \(0.621771\pi\) | |||||||
\(854\) | 28260.6 | − | 20532.5i | 1.13239 | − | 0.822726i | ||||
\(855\) | 2564.98 | + | 209.423i | 0.102597 | + | 0.00837672i | ||||
\(856\) | −5640.15 | − | 4097.81i | −0.225206 | − | 0.163622i | ||||
\(857\) | −2843.10 | − | 1641.47i | −0.113324 | − | 0.0654276i | 0.442267 | − | 0.896884i | \(-0.354174\pi\) |
−0.555591 | + | 0.831456i | \(0.687508\pi\) | |||||||
\(858\) | −16022.6 | − | 12147.1i | −0.637532 | − | 0.483328i | ||||
\(859\) | 37673.2 | − | 8007.68i | 1.49638 | − | 0.318066i | 0.614267 | − | 0.789098i | \(-0.289452\pi\) |
0.882116 | + | 0.471033i | \(0.156119\pi\) | |||||||
\(860\) | −34887.9 | + | 18289.8i | −1.38333 | + | 0.725206i | ||||
\(861\) | 11889.4 | + | 11151.9i | 0.470605 | + | 0.441411i | ||||
\(862\) | 34355.3 | − | 30933.6i | 1.35748 | − | 1.22228i | ||||
\(863\) | −24586.6 | − | 7988.66i | −0.969799 | − | 0.315107i | −0.219064 | − | 0.975710i | \(-0.570300\pi\) |
−0.750735 | + | 0.660603i | \(0.770300\pi\) | |||||||
\(864\) | 21955.7 | + | 22342.2i | 0.864524 | + | 0.879741i | ||||
\(865\) | −33075.2 | − | 12257.5i | −1.30010 | − | 0.481812i | ||||
\(866\) | −12549.3 | − | 13937.5i | −0.492430 | − | 0.546898i | ||||
\(867\) | 7162.91 | − | 56967.3i | 0.280583 | − | 2.23150i | ||||
\(868\) | 21946.1 | − | 12670.6i | 0.858179 | − | 0.495470i | ||||
\(869\) | −504.200 | + | 4797.14i | −0.0196822 | + | 0.187263i | ||||
\(870\) | 31638.4 | − | 38379.0i | 1.23292 | − | 1.49560i | ||||
\(871\) | −971.703 | − | 9245.14i | −0.0378013 | − | 0.359655i | ||||
\(872\) | 7375.55 | + | 10151.6i | 0.286431 | + | 0.394238i | ||||
\(873\) | −14236.2 | − | 13908.6i | −0.551914 | − | 0.539215i | ||||
\(874\) | −6579.50 | −0.254639 | ||||||||
\(875\) | −11138.5 | + | 7798.26i | −0.430341 | + | 0.301291i | ||||
\(876\) | −12550.9 | − | 7591.08i | −0.484080 | − | 0.292784i | ||||
\(877\) | 14516.6 | + | 13070.8i | 0.558941 | + | 0.503273i | 0.899482 | − | 0.436957i | \(-0.143944\pi\) |
−0.340542 | + | 0.940229i | \(0.610610\pi\) | |||||||
\(878\) | 390.665 | − | 877.447i | 0.0150163 | − | 0.0337271i | ||||
\(879\) | 26622.5 | − | 2251.18i | 1.02156 | − | 0.0863827i | ||||
\(880\) | −8061.98 | + | 3202.64i | −0.308829 | + | 0.122683i | ||||
\(881\) | 3228.65 | + | 2345.75i | 0.123469 | + | 0.0897052i | 0.647806 | − | 0.761806i | \(-0.275687\pi\) |
−0.524337 | + | 0.851511i | \(0.675687\pi\) | |||||||
\(882\) | 25147.2 | + | 15917.8i | 0.960035 | + | 0.607688i | ||||
\(883\) | −6702.63 | + | 9225.37i | −0.255449 | + | 0.351595i | −0.917410 | − | 0.397943i | \(-0.869724\pi\) |
0.661961 | + | 0.749538i | \(0.269724\pi\) | |||||||
\(884\) | 23002.6 | + | 25547.0i | 0.875183 | + | 0.971989i | ||||
\(885\) | 2941.85 | − | 7467.93i | 0.111739 | − | 0.283651i | ||||
\(886\) | 50809.8 | − | 56430.0i | 1.92663 | − | 2.13973i | ||||
\(887\) | −324.328 | − | 1525.84i | −0.0122772 | − | 0.0577597i | 0.971583 | − | 0.236701i | \(-0.0760661\pi\) |
−0.983860 | + | 0.178941i | \(0.942733\pi\) | |||||||
\(888\) | −14557.5 | + | 2785.79i | −0.550133 | + | 0.105276i | ||||
\(889\) | 13259.8 | + | 2818.46i | 0.500248 | + | 0.106331i | ||||
\(890\) | 641.414 | − | 15733.9i | 0.0241576 | − | 0.592587i | ||||
\(891\) | −10532.2 | + | 25219.6i | −0.396008 | + | 0.948249i | ||||
\(892\) | −10245.0 | + | 14101.1i | −0.384561 | + | 0.529303i | ||||
\(893\) | 1257.28 | + | 725.891i | 0.0471145 | + | 0.0272016i | ||||
\(894\) | −4688.59 | − | 589.531i | −0.175403 | − | 0.0220546i | ||||
\(895\) | 13524.7 | + | 25798.4i | 0.505117 | + | 0.963513i | ||||
\(896\) | −16688.5 | − | 7430.22i | −0.622238 | − | 0.277038i | ||||
\(897\) | −17245.0 | + | 12000.5i | −0.641910 | + | 0.446694i | ||||
\(898\) | 9188.42 | − | 43228.1i | 0.341450 | − | 1.60639i | ||||
\(899\) | 42938.1 | 1.59296 | ||||||||
\(900\) | −690.656 | + | 39484.5i | −0.0255799 | + | 1.46239i | ||||
\(901\) | 28885.2 | 1.06804 | ||||||||
\(902\) | −11155.7 | + | 52483.5i | −0.411801 | + | 1.93737i | ||||
\(903\) | 1282.63 | + | 15168.4i | 0.0472681 | + | 0.558994i | ||||
\(904\) | 12604.6 | + | 5611.91i | 0.463741 | + | 0.206471i | ||||
\(905\) | −29614.0 | + | 30310.1i | −1.08774 | + | 1.11331i | ||||
\(906\) | 3912.81 | + | 9293.05i | 0.143482 | + | 0.340774i | ||||
\(907\) | −6514.68 | − | 3761.25i | −0.238497 | − | 0.137696i | 0.375989 | − | 0.926624i | \(-0.377303\pi\) |
−0.614486 | + | 0.788928i | \(0.710636\pi\) | |||||||
\(908\) | −30487.2 | + | 41962.1i | −1.11427 | + | 1.53366i | ||||
\(909\) | 40024.9 | − | 6817.70i | 1.46044 | − | 0.248767i | ||||
\(910\) | −6963.65 | + | 8806.61i | −0.253673 | + | 0.320809i | ||||
\(911\) | 23713.3 | + | 5040.41i | 0.862410 | + | 0.183311i | 0.617824 | − | 0.786317i | \(-0.288014\pi\) |
0.244586 | + | 0.969627i | \(0.421348\pi\) | |||||||
\(912\) | 301.001 | − | 865.981i | 0.0109289 | − | 0.0314424i | ||||
\(913\) | 5554.40 | + | 26131.4i | 0.201340 | + | 0.947232i | ||||
\(914\) | −15029.1 | + | 16691.5i | −0.543894 | + | 0.604056i | ||||
\(915\) | −33518.9 | + | 32937.7i | −1.21104 | + | 1.19004i | ||||
\(916\) | −35762.7 | − | 39718.5i | −1.28999 | − | 1.43268i | ||||
\(917\) | −5210.14 | + | 7171.15i | −0.187627 | + | 0.258247i | ||||
\(918\) | 43423.9 | − | 65606.9i | 1.56122 | − | 2.35877i | ||||
\(919\) | −17290.4 | − | 12562.2i | −0.620627 | − | 0.450912i | 0.232513 | − | 0.972593i | \(-0.425305\pi\) |
−0.853141 | + | 0.521681i | \(0.825305\pi\) | |||||||
\(920\) | −2041.59 | − | 31868.3i | −0.0731623 | − | 1.14203i | ||||
\(921\) | 5593.65 | − | 11905.1i | 0.200127 | − | 0.425936i | ||||
\(922\) | 31040.1 | − | 69717.1i | 1.10873 | − | 2.49025i | ||||
\(923\) | 15364.7 | + | 13834.5i | 0.547927 | + | 0.493355i | ||||
\(924\) | 451.515 | − | 22172.3i | 0.0160755 | − | 0.789409i | ||||
\(925\) | 17851.9 | + | 12346.9i | 0.634558 | + | 0.438879i | ||||
\(926\) | −848.439 | −0.0301095 | ||||||||
\(927\) | 52698.2 | − | 14779.8i | 1.86714 | − | 0.523661i | ||||
\(928\) | −25314.6 | − | 34842.6i | −0.895467 | − | 1.23250i | ||||
\(929\) | −1169.82 | − | 11130.1i | −0.0413140 | − | 0.393076i | −0.995565 | − | 0.0940711i | \(-0.970012\pi\) |
0.954251 | − | 0.299005i | \(-0.0966548\pi\) | |||||||
\(930\) | −44922.1 | + | 35731.3i | −1.58393 | + | 1.25987i | ||||
\(931\) | 221.306 | − | 2105.59i | 0.00779057 | − | 0.0741224i | ||||
\(932\) | −66684.1 | + | 38500.1i | −2.34368 | + | 1.35312i | ||||
\(933\) | 17808.2 | − | 7498.08i | 0.624880 | − | 0.263104i | ||||
\(934\) | 4190.66 | + | 4654.19i | 0.146812 | + | 0.163051i | ||||
\(935\) | 29356.7 | + | 44076.0i | 1.02681 | + | 1.54165i | ||||
\(936\) | 2785.10 | + | 9930.42i | 0.0972585 | + | 0.346780i | ||||
\(937\) | −7616.62 | − | 2474.79i | −0.265554 | − | 0.0862838i | 0.173214 | − | 0.984884i | \(-0.444585\pi\) |
−0.438768 | + | 0.898601i | \(0.644585\pi\) | |||||||
\(938\) | 12829.2 | − | 11551.5i | 0.446576 | − | 0.402099i | ||||
\(939\) | 165.056 | − | 49.9384i | 0.00573633 | − | 0.00173555i | ||||
\(940\) | −9882.55 | + | 19965.6i | −0.342908 | + | 0.692772i | ||||
\(941\) | 5860.08 | − | 1245.60i | 0.203011 | − | 0.0431512i | −0.105284 | − | 0.994442i | \(-0.533575\pi\) |
0.308294 | + | 0.951291i | \(0.400242\pi\) | |||||||
\(942\) | 1067.30 | − | 8488.30i | 0.0369155 | − | 0.293592i | ||||
\(943\) | 48554.2 | + | 28032.8i | 1.67671 | + | 0.968052i | ||||
\(944\) | −2313.29 | − | 1680.71i | −0.0797577 | − | 0.0579474i | ||||
\(945\) | 13959.4 | + | 6166.79i | 0.480527 | + | 0.212281i | ||||
\(946\) | −40536.6 | + | 29451.6i | −1.39319 | + | 1.01221i | ||||
\(947\) | −13827.6 | + | 1453.34i | −0.474485 | + | 0.0498704i | −0.338753 | − | 0.940875i | \(-0.610005\pi\) |
−0.135732 | + | 0.990746i | \(0.543339\pi\) | |||||||
\(948\) | 5351.59 | − | 5705.52i | 0.183346 | − | 0.195471i | ||||
\(949\) | 2804.99 | + | 4858.38i | 0.0959471 | + | 0.166185i | ||||
\(950\) | 4275.22 | − | 2023.73i | 0.146007 | − | 0.0691141i | ||||
\(951\) | −1135.05 | + | 55737.9i | −0.0387028 | + | 1.90055i | ||||
\(952\) | −4198.19 | + | 19750.9i | −0.142924 | + | 0.672406i | ||||
\(953\) | 22717.3 | + | 31267.7i | 0.772179 | + | 1.06281i | 0.996102 | + | 0.0882062i | \(0.0281135\pi\) |
−0.223923 | + | 0.974607i | \(0.571887\pi\) | |||||||
\(954\) | 24555.5 | + | 12153.8i | 0.833348 | + | 0.412467i | ||||
\(955\) | 12774.1 | − | 8508.17i | 0.432838 | − | 0.288291i | ||||
\(956\) | −54146.0 | + | 24107.3i | −1.83180 | + | 0.815572i | ||||
\(957\) | 19446.9 | − | 32152.9i | 0.656874 | − | 1.08606i | ||||
\(958\) | −55840.2 | − | 5869.04i | −1.88321 | − | 0.197933i | ||||
\(959\) | −3515.82 | + | 747.311i | −0.118386 | + | 0.0251637i | ||||
\(960\) | 46210.1 | + | 12816.1i | 1.55357 | + | 0.430873i | ||||
\(961\) | −19329.0 | − | 4108.50i | −0.648819 | − | 0.137911i | ||||
\(962\) | 17045.3 | + | 5538.37i | 0.571272 | + | 0.185618i | ||||
\(963\) | 8820.75 | − | 7314.49i | 0.295166 | − | 0.244762i | ||||
\(964\) | 5509.89 | + | 16957.7i | 0.184089 | + | 0.566567i | ||||
\(965\) | −18619.7 | − | 46871.2i | −0.621128 | − | 1.56356i | ||||
\(966\) | −36853.4 | − | 12809.6i | −1.22747 | − | 0.426649i | ||||
\(967\) | 637.317 | + | 66.9847i | 0.0211941 | + | 0.00222759i | 0.115120 | − | 0.993352i | \(-0.463275\pi\) |
−0.0939255 | + | 0.995579i | \(0.529942\pi\) | |||||||
\(968\) | 1060.31 | − | 612.170i | 0.0352062 | − | 0.0203263i | ||||
\(969\) | −5553.12 | − | 698.234i | −0.184099 | − | 0.0231481i | ||||
\(970\) | −35441.4 | − | 9056.59i | −1.17315 | − | 0.299783i | ||||
\(971\) | −46459.5 | + | 33754.8i | −1.53549 | + | 1.11560i | −0.582396 | + | 0.812905i | \(0.697885\pi\) |
−0.953089 | + | 0.302691i | \(0.902115\pi\) | |||||||
\(972\) | 38320.1 | − | 22273.3i | 1.26452 | − | 0.734995i | ||||
\(973\) | −1271.80 | + | 413.233i | −0.0419035 | + | 0.0136153i | ||||
\(974\) | −11015.1 | + | 19078.8i | −0.362369 | + | 0.627642i | ||||
\(975\) | 7514.30 | − | 13101.9i | 0.246821 | − | 0.430355i | ||||
\(976\) | 8370.61 | + | 14498.3i | 0.274525 | + | 0.475492i | ||||
\(977\) | 15205.5 | + | 13691.1i | 0.497921 | + | 0.448330i | 0.879425 | − | 0.476037i | \(-0.157927\pi\) |
−0.381505 | + | 0.924367i | \(0.624594\pi\) | |||||||
\(978\) | 32332.9 | − | 22499.9i | 1.05715 | − | 0.735653i | ||||
\(979\) | −1243.53 | − | 11831.4i | −0.0405958 | − | 0.386243i | ||||
\(980\) | 32461.2 | + | 1323.32i | 1.05810 | + | 0.0431347i | ||||
\(981\) | −19167.5 | + | 7614.80i | −0.623824 | + | 0.247831i | ||||
\(982\) | − | 34653.1i | − | 1.12609i | ||||||
\(983\) | 7678.61 | + | 17246.4i | 0.249145 | + | 0.559589i | 0.994216 | − | 0.107396i | \(-0.0342512\pi\) |
−0.745071 | + | 0.666985i | \(0.767585\pi\) | |||||||
\(984\) | 20824.0 | − | 17996.0i | 0.674638 | − | 0.583018i | ||||
\(985\) | −20094.7 | + | 10534.6i | −0.650022 | + | 0.340771i | ||||
\(986\) | −72380.3 | + | 80386.5i | −2.33779 | + | 2.59638i | ||||
\(987\) | 5629.09 | + | 6513.69i | 0.181536 | + | 0.210064i | ||||
\(988\) | 1723.83 | − | 1552.15i | 0.0555085 | − | 0.0499801i | ||||
\(989\) | 16178.9 | + | 49793.6i | 0.520182 | + | 1.60096i | ||||
\(990\) | 6410.86 | + | 49821.5i | 0.205809 | + | 1.59942i | ||||
\(991\) | −18567.5 | + | 57144.9i | −0.595173 | + | 1.83175i | −0.0413104 | + | 0.999146i | \(0.513153\pi\) |
−0.553863 | + | 0.832608i | \(0.686847\pi\) | |||||||
\(992\) | 20215.4 | + | 45404.5i | 0.647015 | + | 1.45322i | ||||
\(993\) | 7813.80 | + | 159.120i | 0.249711 | + | 0.00508512i | ||||
\(994\) | −4013.41 | + | 38185.0i | −0.128066 | + | 1.21847i | ||||
\(995\) | −604.871 | + | 4128.86i | −0.0192721 | + | 0.131552i | ||||
\(996\) | 18424.1 | − | 39212.5i | 0.586134 | − | 1.24748i | ||||
\(997\) | −31444.5 | + | 3304.95i | −0.998854 | + | 0.104984i | −0.589820 | − | 0.807535i | \(-0.700801\pi\) |
−0.409035 | + | 0.912519i | \(0.634134\pi\) | |||||||
\(998\) | 55728.7 | − | 18107.4i | 1.76760 | − | 0.574327i | ||||
\(999\) | 1487.17 | − | 24316.3i | 0.0470992 | − | 0.770104i |
(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 | 225.4.u.a.169.12 | yes | 704 | |
9.4 | even | 3 | inner | 225.4.u.a.94.12 | yes | 704 | |
25.4 | even | 10 | inner | 225.4.u.a.79.12 | yes | 704 | |
225.4 | even | 30 | inner | 225.4.u.a.4.12 | ✓ | 704 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.4.u.a.4.12 | ✓ | 704 | 225.4 | even | 30 | inner | |
225.4.u.a.79.12 | yes | 704 | 25.4 | even | 10 | inner | |
225.4.u.a.94.12 | yes | 704 | 9.4 | even | 3 | inner | |
225.4.u.a.169.12 | yes | 704 | 1.1 | even | 1 | trivial |