Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 69.4 |
Dual form | 69.4.e.b.52.6 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{2}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.23641 | + | 4.89704i | 0.790689 | + | 1.73137i | 0.674670 | + | 0.738120i | \(0.264286\pi\) |
0.116019 | + | 0.993247i | \(0.462987\pi\) | |||||||
\(3\) | 2.87848 | − | 0.845198i | 0.553964 | − | 0.162658i | ||||
\(4\) | −13.7407 | + | 15.8576i | −1.71758 | + | 1.98219i | ||||
\(5\) | 9.26837 | + | 5.95642i | 0.828988 | + | 0.532758i | 0.884956 | − | 0.465674i | \(-0.154188\pi\) |
−0.0559681 | + | 0.998433i | \(0.517825\pi\) | |||||||
\(6\) | 10.5764 | + | 12.2058i | 0.719634 | + | 0.830502i | ||||
\(7\) | −1.89824 | − | 13.2025i | −0.102495 | − | 0.712870i | −0.974666 | − | 0.223667i | \(-0.928197\pi\) |
0.872170 | − | 0.489202i | \(-0.162712\pi\) | |||||||
\(8\) | −67.0611 | − | 19.6909i | −2.96371 | − | 0.870223i | ||||
\(9\) | 7.57128 | − | 4.86577i | 0.280418 | − | 0.180214i | ||||
\(10\) | −8.44102 | + | 58.7086i | −0.266929 | + | 1.85653i | ||||
\(11\) | 17.2646 | − | 37.8043i | 0.473226 | − | 1.03622i | −0.511045 | − | 0.859554i | \(-0.670741\pi\) |
0.984271 | − | 0.176667i | \(-0.0565314\pi\) | |||||||
\(12\) | −26.1494 | + | 57.2592i | −0.629057 | + | 1.37744i | ||||
\(13\) | −9.90258 | + | 68.8739i | −0.211268 | + | 1.46940i | 0.557663 | + | 0.830067i | \(0.311698\pi\) |
−0.768931 | + | 0.639332i | \(0.779211\pi\) | |||||||
\(14\) | 60.4082 | − | 38.8220i | 1.15320 | − | 0.741115i | ||||
\(15\) | 31.7132 | + | 9.31182i | 0.545887 | + | 0.160287i | ||||
\(16\) | −29.6594 | − | 206.286i | −0.463429 | − | 3.22322i | ||||
\(17\) | −38.6890 | − | 44.6495i | −0.551968 | − | 0.637005i | 0.409373 | − | 0.912367i | \(-0.365748\pi\) |
−0.961341 | + | 0.275362i | \(0.911202\pi\) | |||||||
\(18\) | 40.7603 | + | 26.1951i | 0.533739 | + | 0.343013i | ||||
\(19\) | 70.8862 | − | 81.8071i | 0.855917 | − | 0.987781i | −0.144082 | − | 0.989566i | \(-0.546023\pi\) |
0.999998 | + | 0.00178512i | \(0.000568223\pi\) | |||||||
\(20\) | −221.808 | + | 65.1286i | −2.47989 | + | 0.728160i | ||||
\(21\) | −16.6228 | − | 36.3988i | −0.172733 | − | 0.378232i | ||||
\(22\) | 223.740 | 2.16825 | ||||||||
\(23\) | 59.2111 | + | 93.0648i | 0.536798 | + | 0.843711i | ||||
\(24\) | −209.677 | −1.78334 | ||||||||
\(25\) | −1.50314 | − | 3.29142i | −0.0120251 | − | 0.0263313i | ||||
\(26\) | −359.425 | + | 105.537i | −2.71112 | + | 0.796055i | ||||
\(27\) | 17.6812 | − | 20.4052i | 0.126028 | − | 0.145444i | ||||
\(28\) | 235.443 | + | 151.310i | 1.58909 | + | 1.02125i | ||||
\(29\) | 86.8617 | + | 100.244i | 0.556200 | + | 0.641889i | 0.962316 | − | 0.271932i | \(-0.0876626\pi\) |
−0.406116 | + | 0.913821i | \(0.633117\pi\) | |||||||
\(30\) | 25.3231 | + | 176.126i | 0.154111 | + | 1.07187i | ||||
\(31\) | 128.303 | + | 37.6731i | 0.743350 | + | 0.218267i | 0.631412 | − | 0.775448i | \(-0.282476\pi\) |
0.111939 | + | 0.993715i | \(0.464294\pi\) | |||||||
\(32\) | 473.485 | − | 304.290i | 2.61566 | − | 1.68098i | ||||
\(33\) | 17.7438 | − | 123.411i | 0.0936001 | − | 0.651003i | ||||
\(34\) | 132.126 | − | 289.316i | 0.666455 | − | 1.45933i | ||||
\(35\) | 61.0463 | − | 133.673i | 0.294820 | − | 0.645566i | ||||
\(36\) | −26.8752 | + | 186.921i | −0.124422 | + | 0.865374i | ||||
\(37\) | −129.270 | + | 83.0768i | −0.574375 | + | 0.369128i | −0.795349 | − | 0.606151i | \(-0.792713\pi\) |
0.220975 | + | 0.975280i | \(0.429076\pi\) | |||||||
\(38\) | 559.143 | + | 164.179i | 2.38697 | + | 0.700879i | ||||
\(39\) | 29.7077 | + | 206.622i | 0.121975 | + | 0.848358i | ||||
\(40\) | −504.259 | − | 581.946i | −1.99326 | − | 2.30035i | ||||
\(41\) | −316.096 | − | 203.143i | −1.20405 | − | 0.773794i | −0.224395 | − | 0.974498i | \(-0.572041\pi\) |
−0.979652 | + | 0.200705i | \(0.935677\pi\) | |||||||
\(42\) | 141.071 | − | 162.805i | 0.518281 | − | 0.598128i | ||||
\(43\) | −97.6527 | + | 28.6734i | −0.346323 | + | 0.101690i | −0.450268 | − | 0.892893i | \(-0.648672\pi\) |
0.103945 | + | 0.994583i | \(0.466853\pi\) | |||||||
\(44\) | 362.256 | + | 793.231i | 1.24119 | + | 2.71782i | ||||
\(45\) | 99.1560 | 0.328473 | ||||||||
\(46\) | −323.322 | + | 498.090i | −1.03633 | + | 1.59651i | ||||
\(47\) | −539.392 | −1.67401 | −0.837005 | − | 0.547195i | \(-0.815696\pi\) | ||||
−0.837005 | + | 0.547195i | \(0.815696\pi\) | |||||||
\(48\) | −259.727 | − | 568.722i | −0.781006 | − | 1.71017i | ||||
\(49\) | 158.402 | − | 46.5112i | 0.461815 | − | 0.135601i | ||||
\(50\) | 12.7566 | − | 14.7219i | 0.0360811 | − | 0.0416398i | ||||
\(51\) | −149.103 | − | 95.8227i | −0.409384 | − | 0.263095i | ||||
\(52\) | −956.104 | − | 1103.40i | −2.54977 | − | 2.94259i | ||||
\(53\) | −72.8750 | − | 506.856i | −0.188871 | − | 1.31362i | −0.834938 | − | 0.550344i | \(-0.814497\pi\) |
0.646067 | − | 0.763280i | \(-0.276413\pi\) | |||||||
\(54\) | 139.468 | + | 40.9514i | 0.351466 | + | 0.103200i | ||||
\(55\) | 385.193 | − | 247.549i | 0.944354 | − | 0.606899i | ||||
\(56\) | −132.672 | + | 922.754i | −0.316590 | + | 2.20193i | ||||
\(57\) | 134.901 | − | 295.393i | 0.313476 | − | 0.686417i | ||||
\(58\) | −296.640 | + | 649.551i | −0.671565 | + | 1.47052i | ||||
\(59\) | 21.4261 | − | 149.022i | 0.0472787 | − | 0.328831i | −0.952431 | − | 0.304753i | \(-0.901426\pi\) |
0.999710 | − | 0.0240776i | \(-0.00766487\pi\) | |||||||
\(60\) | −583.422 | + | 374.943i | −1.25532 | + | 0.806748i | ||||
\(61\) | 121.174 | + | 35.5800i | 0.254341 | + | 0.0746812i | 0.406418 | − | 0.913687i | \(-0.366778\pi\) |
−0.152077 | + | 0.988369i | \(0.548596\pi\) | |||||||
\(62\) | 102.450 | + | 712.557i | 0.209858 | + | 1.45959i | ||||
\(63\) | −78.6126 | − | 90.7237i | −0.157210 | − | 0.181430i | ||||
\(64\) | 1146.44 | + | 736.772i | 2.23914 | + | 1.43901i | ||||
\(65\) | −502.023 | + | 579.365i | −0.957973 | + | 1.10556i | ||||
\(66\) | 644.031 | − | 189.105i | 1.20113 | − | 0.352684i | ||||
\(67\) | −197.636 | − | 432.763i | −0.360375 | − | 0.789110i | −0.999795 | − | 0.0202529i | \(-0.993553\pi\) |
0.639420 | − | 0.768857i | \(-0.279174\pi\) | |||||||
\(68\) | 1239.64 | 2.21072 | ||||||||
\(69\) | 249.096 | + | 217.840i | 0.434603 | + | 0.380070i | ||||
\(70\) | 791.125 | 1.35082 | ||||||||
\(71\) | −271.279 | − | 594.017i | −0.453449 | − | 0.992914i | −0.988932 | − | 0.148368i | \(-0.952598\pi\) |
0.535484 | − | 0.844546i | \(-0.320129\pi\) | |||||||
\(72\) | −603.550 | + | 177.218i | −0.987903 | + | 0.290074i | ||||
\(73\) | −141.209 | + | 162.964i | −0.226401 | + | 0.261281i | −0.857573 | − | 0.514362i | \(-0.828029\pi\) |
0.631172 | + | 0.775643i | \(0.282574\pi\) | |||||||
\(74\) | −695.931 | − | 447.248i | −1.09325 | − | 0.702588i | ||||
\(75\) | −7.10865 | − | 8.20382i | −0.0109445 | − | 0.0126306i | ||||
\(76\) | 323.237 | + | 2248.17i | 0.487867 | + | 3.39319i | ||||
\(77\) | −531.885 | − | 156.176i | −0.787194 | − | 0.231141i | ||||
\(78\) | −945.398 | + | 607.570i | −1.37237 | + | 0.881971i | ||||
\(79\) | −196.021 | + | 1363.35i | −0.279165 | + | 1.94164i | 0.0534427 | + | 0.998571i | \(0.482981\pi\) |
−0.332608 | + | 0.943065i | \(0.607929\pi\) | |||||||
\(80\) | 953.831 | − | 2088.60i | 1.33302 | − | 2.91891i | ||||
\(81\) | 33.6486 | − | 73.6802i | 0.0461572 | − | 0.101070i | ||||
\(82\) | 287.879 | − | 2002.25i | 0.387695 | − | 2.69648i | ||||
\(83\) | −186.957 | + | 120.150i | −0.247243 | + | 0.158894i | −0.658393 | − | 0.752674i | \(-0.728764\pi\) |
0.411150 | + | 0.911568i | \(0.365127\pi\) | |||||||
\(84\) | 805.605 | + | 236.547i | 1.04641 | + | 0.307255i | ||||
\(85\) | −92.6328 | − | 644.276i | −0.118205 | − | 0.822135i | ||||
\(86\) | −358.806 | − | 414.084i | −0.449896 | − | 0.519207i | ||||
\(87\) | 334.755 | + | 215.134i | 0.412523 | + | 0.265113i | ||||
\(88\) | −1902.19 | + | 2195.24i | −2.30425 | + | 2.65924i | ||||
\(89\) | −724.001 | + | 212.586i | −0.862292 | + | 0.253192i | −0.682834 | − | 0.730574i | \(-0.739253\pi\) |
−0.179458 | + | 0.983766i | \(0.557434\pi\) | |||||||
\(90\) | 221.753 | + | 485.571i | 0.259720 | + | 0.568708i | ||||
\(91\) | 928.108 | 1.06914 | ||||||||
\(92\) | −2289.38 | − | 339.828i | −2.59439 | − | 0.385103i | ||||
\(93\) | 401.158 | 0.447292 | ||||||||
\(94\) | −1206.30 | − | 2641.43i | −1.32362 | − | 2.89833i | ||||
\(95\) | 1144.28 | − | 335.990i | 1.23579 | − | 0.362862i | ||||
\(96\) | 1105.73 | − | 1276.08i | 1.17555 | − | 1.35666i | ||||
\(97\) | 679.941 | + | 436.972i | 0.711728 | + | 0.457400i | 0.845750 | − | 0.533579i | \(-0.179153\pi\) |
−0.134023 | + | 0.990978i | \(0.542790\pi\) | |||||||
\(98\) | 582.019 | + | 671.686i | 0.599927 | + | 0.692353i | ||||
\(99\) | −53.2314 | − | 370.233i | −0.0540400 | − | 0.375857i | ||||
\(100\) | 72.8480 | + | 21.3901i | 0.0728480 | + | 0.0213901i | ||||
\(101\) | 230.359 | − | 148.043i | 0.226947 | − | 0.145850i | −0.422227 | − | 0.906490i | \(-0.638751\pi\) |
0.649173 | + | 0.760641i | \(0.275115\pi\) | |||||||
\(102\) | 135.793 | − | 944.463i | 0.131819 | − | 0.916821i | ||||
\(103\) | −451.929 | + | 989.586i | −0.432329 | + | 0.946668i | 0.560615 | + | 0.828077i | \(0.310565\pi\) |
−0.992943 | + | 0.118591i | \(0.962162\pi\) | |||||||
\(104\) | 2020.27 | − | 4423.77i | 1.90484 | − | 4.17102i | ||||
\(105\) | 62.7405 | − | 436.370i | 0.0583129 | − | 0.405575i | ||||
\(106\) | 2319.12 | − | 1490.41i | 2.12503 | − | 1.36567i | ||||
\(107\) | 482.219 | + | 141.592i | 0.435681 | + | 0.127927i | 0.492216 | − | 0.870473i | \(-0.336187\pi\) |
−0.0565351 | + | 0.998401i | \(0.518005\pi\) | |||||||
\(108\) | 80.6255 | + | 560.763i | 0.0718351 | + | 0.499624i | ||||
\(109\) | 540.443 | + | 623.704i | 0.474909 | + | 0.548074i | 0.941770 | − | 0.336256i | \(-0.109161\pi\) |
−0.466862 | + | 0.884330i | \(0.654615\pi\) | |||||||
\(110\) | 2073.71 | + | 1332.69i | 1.79746 | + | 1.15515i | ||||
\(111\) | −301.885 | + | 348.394i | −0.258141 | + | 0.297910i | ||||
\(112\) | −2667.20 | + | 783.160i | −2.25024 | + | 0.660729i | ||||
\(113\) | 100.861 | + | 220.854i | 0.0839663 | + | 0.183860i | 0.946958 | − | 0.321358i | \(-0.104139\pi\) |
−0.862992 | + | 0.505218i | \(0.831412\pi\) | |||||||
\(114\) | 1748.25 | 1.43630 | ||||||||
\(115\) | −5.54281 | + | 1215.24i | −0.00449452 | + | 0.985410i | ||||
\(116\) | −2783.16 | −2.22767 | ||||||||
\(117\) | 260.149 | + | 569.648i | 0.205562 | + | 0.450119i | ||||
\(118\) | 777.685 | − | 228.349i | 0.606709 | − | 0.178146i | ||||
\(119\) | −516.045 | + | 595.548i | −0.397528 | + | 0.458771i | ||||
\(120\) | −1943.36 | − | 1248.92i | −1.47836 | − | 0.950087i | ||||
\(121\) | −259.478 | − | 299.453i | −0.194950 | − | 0.224984i | ||||
\(122\) | 96.7582 | + | 672.968i | 0.0718039 | + | 0.499407i | ||||
\(123\) | −1081.57 | − | 317.578i | −0.792862 | − | 0.232805i | ||||
\(124\) | −2360.37 | + | 1516.92i | −1.70941 | + | 1.09857i | ||||
\(125\) | 201.665 | − | 1402.61i | 0.144299 | − | 1.00362i | ||||
\(126\) | 268.469 | − | 587.864i | 0.189818 | − | 0.415644i | ||||
\(127\) | 71.2278 | − | 155.967i | 0.0497673 | − | 0.108975i | −0.883115 | − | 0.469157i | \(-0.844558\pi\) |
0.932882 | + | 0.360181i | \(0.117285\pi\) | |||||||
\(128\) | −403.307 | + | 2805.06i | −0.278497 | + | 1.93699i | ||||
\(129\) | −256.856 | + | 165.072i | −0.175310 | + | 0.112665i | ||||
\(130\) | −3959.90 | − | 1162.73i | −2.67159 | − | 0.784449i | ||||
\(131\) | 266.482 | + | 1853.43i | 0.177730 | + | 1.23614i | 0.861998 | + | 0.506911i | \(0.169213\pi\) |
−0.684268 | + | 0.729230i | \(0.739878\pi\) | |||||||
\(132\) | 1713.18 | + | 1977.12i | 1.12965 | + | 1.30368i | ||||
\(133\) | −1214.62 | − | 780.589i | −0.791886 | − | 0.508915i | ||||
\(134\) | 1677.26 | − | 1935.67i | 1.08130 | − | 1.24788i | ||||
\(135\) | 285.418 | − | 83.8064i | 0.181962 | − | 0.0534289i | ||||
\(136\) | 1715.34 | + | 3756.06i | 1.08154 | + | 2.36823i | ||||
\(137\) | −343.908 | −0.214468 | −0.107234 | − | 0.994234i | \(-0.534199\pi\) | ||||
−0.107234 | + | 0.994234i | \(0.534199\pi\) | |||||||
\(138\) | −509.692 | + | 1707.01i | −0.314405 | + | 1.05297i | ||||
\(139\) | 2686.10 | 1.63908 | 0.819539 | − | 0.573024i | \(-0.194230\pi\) | ||||
0.819539 | + | 0.573024i | \(0.194230\pi\) | |||||||
\(140\) | 1280.91 | + | 2804.79i | 0.773260 | + | 1.69320i | ||||
\(141\) | −1552.63 | + | 455.893i | −0.927340 | + | 0.272292i | ||||
\(142\) | 2302.24 | − | 2656.93i | 1.36056 | − | 1.57017i | ||||
\(143\) | 2432.77 | + | 1563.44i | 1.42264 | + | 0.914278i | ||||
\(144\) | −1228.30 | − | 1417.53i | −0.710822 | − | 0.820332i | ||||
\(145\) | 207.972 | + | 1446.48i | 0.119112 | + | 0.828439i | ||||
\(146\) | −1113.84 | − | 327.054i | −0.631386 | − | 0.185392i | ||||
\(147\) | 416.647 | − | 267.763i | 0.233772 | − | 0.150236i | ||||
\(148\) | 458.859 | − | 3191.44i | 0.254851 | − | 1.77253i | ||||
\(149\) | −52.9157 | + | 115.869i | −0.0290941 | + | 0.0637072i | −0.923621 | − | 0.383307i | \(-0.874785\pi\) |
0.894527 | + | 0.447014i | \(0.147513\pi\) | |||||||
\(150\) | 24.2767 | − | 53.1585i | 0.0132145 | − | 0.0289358i | ||||
\(151\) | −90.5654 | + | 629.896i | −0.0488086 | + | 0.339472i | 0.950755 | + | 0.309943i | \(0.100310\pi\) |
−0.999564 | + | 0.0295290i | \(0.990599\pi\) | |||||||
\(152\) | −6364.56 | + | 4090.26i | −3.39628 | + | 2.18266i | ||||
\(153\) | −510.179 | − | 149.802i | −0.269579 | − | 0.0791554i | ||||
\(154\) | −424.712 | − | 2953.94i | −0.222236 | − | 1.54568i | ||||
\(155\) | 964.761 | + | 1113.39i | 0.499945 | + | 0.576967i | ||||
\(156\) | −3684.72 | − | 2368.03i | −1.89111 | − | 1.21535i | ||||
\(157\) | 825.025 | − | 952.129i | 0.419390 | − | 0.484001i | −0.506261 | − | 0.862380i | \(-0.668973\pi\) |
0.925651 | + | 0.378379i | \(0.123518\pi\) | |||||||
\(158\) | −7114.79 | + | 2089.09i | −3.58242 | + | 1.05189i | ||||
\(159\) | −638.163 | − | 1397.38i | −0.318299 | − | 0.696979i | ||||
\(160\) | 6200.91 | 3.06391 | ||||||||
\(161\) | 1116.29 | − | 958.395i | 0.546437 | − | 0.469144i | ||||
\(162\) | 436.067 | 0.211486 | ||||||||
\(163\) | 757.800 | + | 1659.35i | 0.364144 | + | 0.797364i | 0.999680 | + | 0.0252931i | \(0.00805189\pi\) |
−0.635536 | + | 0.772071i | \(0.719221\pi\) | |||||||
\(164\) | 7564.71 | − | 2221.20i | 3.60186 | − | 1.05760i | ||||
\(165\) | 899.544 | − | 1038.13i | 0.424420 | − | 0.489807i | ||||
\(166\) | −1006.49 | − | 646.833i | −0.470596 | − | 0.302433i | ||||
\(167\) | −66.6531 | − | 76.9218i | −0.0308849 | − | 0.0356431i | 0.740097 | − | 0.672500i | \(-0.234780\pi\) |
−0.770982 | + | 0.636857i | \(0.780234\pi\) | |||||||
\(168\) | 398.016 | + | 2768.26i | 0.182783 | + | 1.27129i | ||||
\(169\) | −2537.55 | − | 745.092i | −1.15501 | − | 0.339141i | ||||
\(170\) | 2947.88 | − | 1894.49i | 1.32995 | − | 0.854710i | ||||
\(171\) | 138.645 | − | 964.300i | 0.0620028 | − | 0.431239i | ||||
\(172\) | 887.121 | − | 1942.52i | 0.393269 | − | 0.861140i | ||||
\(173\) | 590.837 | − | 1293.75i | 0.259656 | − | 0.568568i | −0.734240 | − | 0.678890i | \(-0.762461\pi\) |
0.993896 | + | 0.110323i | \(0.0351884\pi\) | |||||||
\(174\) | −304.873 | + | 2120.44i | −0.132830 | + | 0.923851i | ||||
\(175\) | −40.6017 | + | 26.0931i | −0.0175383 | + | 0.0112712i | ||||
\(176\) | −8310.56 | − | 2440.20i | −3.55927 | − | 1.04510i | ||||
\(177\) | −64.2784 | − | 447.066i | −0.0272964 | − | 0.189850i | ||||
\(178\) | −2660.20 | − | 3070.04i | −1.12017 | − | 1.29275i | ||||
\(179\) | 905.633 | + | 582.015i | 0.378157 | + | 0.243027i | 0.715887 | − | 0.698216i | \(-0.246023\pi\) |
−0.337730 | + | 0.941243i | \(0.609659\pi\) | |||||||
\(180\) | −1362.47 | + | 1572.37i | −0.564180 | + | 0.651098i | ||||
\(181\) | −3876.57 | + | 1138.26i | −1.59195 | + | 0.467439i | −0.953292 | − | 0.302051i | \(-0.902329\pi\) |
−0.638659 | + | 0.769490i | \(0.720511\pi\) | |||||||
\(182\) | 2075.63 | + | 4544.99i | 0.845360 | + | 1.85108i | ||||
\(183\) | 378.870 | 0.153043 | ||||||||
\(184\) | −2138.23 | − | 7406.94i | −0.856697 | − | 2.96765i | ||||
\(185\) | −1692.96 | −0.672806 | ||||||||
\(186\) | 897.152 | + | 1964.49i | 0.353669 | + | 0.774426i | ||||
\(187\) | −2355.89 | + | 691.753i | −0.921283 | + | 0.270513i | ||||
\(188\) | 7411.60 | − | 8553.45i | 2.87525 | − | 3.31821i | ||||
\(189\) | −302.964 | − | 194.703i | −0.116600 | − | 0.0749342i | ||||
\(190\) | 4204.43 | + | 4852.17i | 1.60537 | + | 1.85270i | ||||
\(191\) | −550.792 | − | 3830.84i | −0.208659 | − | 1.45126i | −0.777538 | − | 0.628835i | \(-0.783532\pi\) |
0.568879 | − | 0.822421i | \(-0.307377\pi\) | |||||||
\(192\) | 3922.72 | + | 1151.82i | 1.47447 | + | 0.432943i | ||||
\(193\) | −3161.63 | + | 2031.85i | −1.17916 | + | 0.757803i | −0.975233 | − | 0.221182i | \(-0.929009\pi\) |
−0.203932 | + | 0.978985i | \(0.565372\pi\) | |||||||
\(194\) | −619.246 | + | 4306.95i | −0.229171 | + | 1.59392i | ||||
\(195\) | −955.384 | + | 2092.00i | −0.350854 | + | 0.768262i | ||||
\(196\) | −1439.00 | + | 3150.97i | −0.524417 | + | 1.14831i | ||||
\(197\) | −440.304 | + | 3062.38i | −0.159240 | + | 1.10754i | 0.740797 | + | 0.671729i | \(0.234448\pi\) |
−0.900038 | + | 0.435812i | \(0.856461\pi\) | |||||||
\(198\) | 1694.00 | − | 1088.67i | 0.608017 | − | 0.390749i | ||||
\(199\) | 2567.89 | + | 754.000i | 0.914738 | + | 0.268591i | 0.705034 | − | 0.709174i | \(-0.250932\pi\) |
0.209704 | + | 0.977765i | \(0.432750\pi\) | |||||||
\(200\) | 35.9912 | + | 250.324i | 0.0127248 | + | 0.0885029i | ||||
\(201\) | −934.661 | − | 1078.66i | −0.327990 | − | 0.378520i | ||||
\(202\) | 1240.15 | + | 796.996i | 0.431963 | + | 0.277606i | ||||
\(203\) | 1158.59 | − | 1337.08i | 0.400576 | − | 0.462289i | ||||
\(204\) | 3568.29 | − | 1047.74i | 1.22466 | − | 0.359592i | ||||
\(205\) | −1719.69 | − | 3765.60i | −0.585895 | − | 1.28293i | ||||
\(206\) | −5856.74 | −1.98087 | ||||||||
\(207\) | 901.135 | + | 416.512i | 0.302576 | + | 0.139853i | ||||
\(208\) | 14501.4 | 4.83410 | ||||||||
\(209\) | −1868.83 | − | 4092.18i | −0.618517 | − | 1.35436i | ||||
\(210\) | 2277.24 | − | 668.657i | 0.748306 | − | 0.219723i | ||||
\(211\) | 1587.71 | − | 1832.32i | 0.518023 | − | 0.597830i | −0.435112 | − | 0.900376i | \(-0.643291\pi\) |
0.953135 | + | 0.302546i | \(0.0978367\pi\) | |||||||
\(212\) | 9038.86 | + | 5808.92i | 2.92826 | + | 1.88188i | ||||
\(213\) | −1282.93 | − | 1480.58i | −0.412700 | − | 0.476281i | ||||
\(214\) | 385.053 | + | 2678.10i | 0.122999 | + | 0.855474i | ||||
\(215\) | −1075.87 | − | 315.904i | −0.341274 | − | 0.100207i | ||||
\(216\) | −1587.52 | + | 1020.24i | −0.500079 | + | 0.321381i | ||||
\(217\) | 253.831 | − | 1765.43i | 0.0794064 | − | 0.552283i | ||||
\(218\) | −1845.66 | + | 4041.43i | −0.573412 | + | 1.25560i | ||||
\(219\) | −268.731 | + | 588.439i | −0.0829185 | + | 0.181566i | ||||
\(220\) | −1367.29 | + | 9509.71i | −0.419012 | + | 2.91429i | ||||
\(221\) | 3458.30 | − | 2222.52i | 1.05263 | − | 0.676483i | ||||
\(222\) | −2381.24 | − | 699.194i | −0.719901 | − | 0.211382i | ||||
\(223\) | −2.95021 | − | 20.5192i | −0.000885924 | − | 0.00616173i | 0.989374 | − | 0.145395i | \(-0.0464453\pi\) |
−0.990260 | + | 0.139233i | \(0.955536\pi\) | |||||||
\(224\) | −4916.19 | − | 5673.58i | −1.46641 | − | 1.69233i | ||||
\(225\) | −27.3960 | − | 17.6063i | −0.00811732 | − | 0.00521669i | ||||
\(226\) | −855.968 | + | 987.840i | −0.251939 | + | 0.290753i | ||||
\(227\) | 3751.94 | − | 1101.67i | 1.09703 | − | 0.322116i | 0.317356 | − | 0.948307i | \(-0.397205\pi\) |
0.779670 | + | 0.626191i | \(0.215387\pi\) | |||||||
\(228\) | 2830.58 | + | 6198.10i | 0.822191 | + | 1.80035i | ||||
\(229\) | −479.652 | −0.138412 | −0.0692059 | − | 0.997602i | \(-0.522047\pi\) | ||||
−0.0692059 | + | 0.997602i | \(0.522047\pi\) | |||||||
\(230\) | −5963.50 | + | 2690.64i | −1.70966 | + | 0.771371i | ||||
\(231\) | −1663.02 | −0.473674 | ||||||||
\(232\) | −3851.15 | − | 8432.83i | −1.08983 | − | 2.38639i | ||||
\(233\) | −3341.72 | + | 981.219i | −0.939586 | + | 0.275887i | −0.715445 | − | 0.698669i | \(-0.753776\pi\) |
−0.224141 | + | 0.974557i | \(0.571958\pi\) | |||||||
\(234\) | −2207.79 | + | 2547.93i | −0.616785 | + | 0.711808i | ||||
\(235\) | −4999.29 | − | 3212.85i | −1.38773 | − | 0.891843i | ||||
\(236\) | 2068.72 | + | 2387.43i | 0.570601 | + | 0.658509i | ||||
\(237\) | 588.062 | + | 4090.06i | 0.161176 | + | 1.12100i | ||||
\(238\) | −4070.51 | − | 1195.21i | −1.10862 | − | 0.325521i | ||||
\(239\) | −2870.81 | + | 1844.96i | −0.776977 | + | 0.499333i | −0.868029 | − | 0.496513i | \(-0.834613\pi\) |
0.0910520 | + | 0.995846i | \(0.470977\pi\) | |||||||
\(240\) | 980.304 | − | 6818.16i | 0.263660 | − | 1.83379i | ||||
\(241\) | 1115.87 | − | 2443.42i | 0.298256 | − | 0.653089i | −0.699871 | − | 0.714269i | \(-0.746759\pi\) |
0.998127 | + | 0.0611804i | \(0.0194865\pi\) | |||||||
\(242\) | 886.139 | − | 1940.37i | 0.235385 | − | 0.515421i | ||||
\(243\) | 34.5825 | − | 240.527i | 0.00912950 | − | 0.0634971i | ||||
\(244\) | −2229.23 | + | 1432.64i | −0.584884 | + | 0.375882i | ||||
\(245\) | 1745.17 | + | 512.429i | 0.455082 | + | 0.133624i | ||||
\(246\) | −863.638 | − | 6006.74i | −0.223836 | − | 1.55681i | ||||
\(247\) | 4932.42 | + | 5692.31i | 1.27062 | + | 1.46637i | ||||
\(248\) | −7862.30 | − | 5052.80i | −2.01313 | − | 1.29376i | ||||
\(249\) | −436.601 | + | 503.865i | −0.111118 | + | 0.128237i | ||||
\(250\) | 7319.64 | − | 2149.24i | 1.85174 | − | 0.543720i | ||||
\(251\) | −452.845 | − | 991.592i | −0.113878 | − | 0.249357i | 0.844108 | − | 0.536173i | \(-0.180131\pi\) |
−0.957986 | + | 0.286816i | \(0.907403\pi\) | |||||||
\(252\) | 2518.84 | 0.629652 | ||||||||
\(253\) | 4540.51 | − | 631.703i | 1.12830 | − | 0.156975i | ||||
\(254\) | 923.072 | 0.228026 | ||||||||
\(255\) | −811.182 | − | 1776.24i | −0.199209 | − | 0.436206i | ||||
\(256\) | −4177.87 | + | 1226.73i | −1.01999 | + | 0.299496i | ||||
\(257\) | 3.24694 | − | 3.74717i | 0.000788089 | − | 0.000909503i | −0.755355 | − | 0.655315i | \(-0.772536\pi\) |
0.756143 | + | 0.654406i | \(0.227081\pi\) | |||||||
\(258\) | −1382.80 | − | 888.670i | −0.333679 | − | 0.214443i | ||||
\(259\) | 1342.21 | + | 1548.99i | 0.322011 | + | 0.371621i | ||||
\(260\) | −2289.20 | − | 15921.7i | −0.546038 | − | 3.79778i | ||||
\(261\) | 1145.42 | + | 336.325i | 0.271646 | + | 0.0797624i | ||||
\(262\) | −8480.34 | + | 5449.99i | −1.99968 | + | 1.28512i | ||||
\(263\) | 145.339 | − | 1010.85i | 0.0340759 | − | 0.237003i | −0.965664 | − | 0.259793i | \(-0.916346\pi\) |
0.999740 | + | 0.0227896i | \(0.00725479\pi\) | |||||||
\(264\) | −3619.99 | + | 7926.68i | −0.843921 | + | 1.84793i | ||||
\(265\) | 2343.62 | − | 5131.81i | 0.543273 | − | 1.18960i | ||||
\(266\) | 1106.20 | − | 7693.76i | 0.254982 | − | 1.77344i | ||||
\(267\) | −1904.34 | + | 1223.85i | −0.436494 | + | 0.280518i | ||||
\(268\) | 9578.21 | + | 2812.42i | 2.18314 | + | 0.641029i | ||||
\(269\) | −265.181 | − | 1844.37i | −0.0601054 | − | 0.418042i | −0.997553 | − | 0.0699155i | \(-0.977727\pi\) |
0.937448 | − | 0.348127i | \(-0.113182\pi\) | |||||||
\(270\) | 1048.72 | + | 1210.28i | 0.236381 | + | 0.272798i | ||||
\(271\) | 5620.18 | + | 3611.87i | 1.25979 | + | 0.809615i | 0.988255 | − | 0.152815i | \(-0.0488339\pi\) |
0.271530 | + | 0.962430i | \(0.412470\pi\) | |||||||
\(272\) | −8063.07 | + | 9305.27i | −1.79741 | + | 2.07432i | ||||
\(273\) | 2671.54 | − | 784.435i | 0.592267 | − | 0.173905i | ||||
\(274\) | −769.119 | − | 1684.13i | −0.169577 | − | 0.371322i | ||||
\(275\) | −150.381 | −0.0329757 | ||||||||
\(276\) | −6877.15 | + | 956.790i | −1.49984 | + | 0.208667i | ||||
\(277\) | −7611.58 | −1.65103 | −0.825516 | − | 0.564379i | \(-0.809116\pi\) | ||||
−0.825516 | + | 0.564379i | \(0.809116\pi\) | |||||||
\(278\) | 6007.20 | + | 13153.9i | 1.29600 | + | 2.83784i | ||||
\(279\) | 1154.72 | − | 339.058i | 0.247783 | − | 0.0727558i | ||||
\(280\) | −6725.96 | + | 7762.17i | −1.43555 | + | 1.65671i | ||||
\(281\) | 5988.99 | + | 3848.89i | 1.27144 | + | 0.817102i | 0.989806 | − | 0.142421i | \(-0.0454887\pi\) |
0.281630 | + | 0.959523i | \(0.409125\pi\) | |||||||
\(282\) | −5704.84 | − | 6583.74i | −1.20467 | − | 1.39027i | ||||
\(283\) | −340.890 | − | 2370.94i | −0.0716036 | − | 0.498014i | −0.993790 | − | 0.111269i | \(-0.964509\pi\) |
0.922187 | − | 0.386745i | \(-0.126401\pi\) | |||||||
\(284\) | 13147.2 | + | 3860.37i | 2.74698 | + | 0.806587i | ||||
\(285\) | 3009.80 | − | 1934.28i | 0.625562 | − | 0.402024i | ||||
\(286\) | −2215.60 | + | 15409.9i | −0.458082 | + | 3.18603i | ||||
\(287\) | −2081.97 | + | 4558.88i | −0.428205 | + | 0.937639i | ||||
\(288\) | 2104.28 | − | 4607.73i | 0.430542 | − | 0.942755i | ||||
\(289\) | 202.455 | − | 1408.11i | 0.0412081 | − | 0.286609i | ||||
\(290\) | −6618.37 | + | 4253.37i | −1.34015 | + | 0.861263i | ||||
\(291\) | 2326.52 | + | 683.129i | 0.468671 | + | 0.137614i | ||||
\(292\) | −643.906 | − | 4478.47i | −0.129047 | − | 0.897543i | ||||
\(293\) | 2783.39 | + | 3212.20i | 0.554974 | + | 0.640474i | 0.962035 | − | 0.272927i | \(-0.0879917\pi\) |
−0.407061 | + | 0.913401i | \(0.633446\pi\) | |||||||
\(294\) | 2243.04 | + | 1441.51i | 0.444955 | + | 0.285955i | ||||
\(295\) | 1086.22 | − | 1253.57i | 0.214381 | − | 0.247409i | ||||
\(296\) | 10304.8 | − | 3025.78i | 2.02350 | − | 0.594154i | ||||
\(297\) | −466.146 | − | 1020.72i | −0.0910724 | − | 0.199421i | ||||
\(298\) | −685.757 | −0.133305 | ||||||||
\(299\) | −6996.08 | + | 3156.52i | −1.35316 | + | 0.610522i | ||||
\(300\) | 227.770 | 0.0438344 | ||||||||
\(301\) | 563.930 | + | 1234.83i | 0.107988 | + | 0.236461i | ||||
\(302\) | −3287.17 | + | 965.200i | −0.626342 | + | 0.183911i | ||||
\(303\) | 537.959 | − | 620.838i | 0.101996 | − | 0.117710i | ||||
\(304\) | −18978.1 | − | 12196.5i | −3.58049 | − | 2.30104i | ||||
\(305\) | 911.160 | + | 1051.53i | 0.171059 | + | 0.197412i | ||||
\(306\) | −407.380 | − | 2833.39i | −0.0761057 | − | 0.529327i | ||||
\(307\) | −2168.81 | − | 636.821i | −0.403194 | − | 0.118389i | 0.0738465 | − | 0.997270i | \(-0.476472\pi\) |
−0.477041 | + | 0.878881i | \(0.658291\pi\) | |||||||
\(308\) | 9785.01 | − | 6288.45i | 1.81024 | − | 1.16337i | ||||
\(309\) | −464.472 | + | 3230.47i | −0.0855109 | + | 0.594741i | ||||
\(310\) | −3294.74 | + | 7214.47i | −0.603641 | + | 1.32179i | ||||
\(311\) | 1612.48 | − | 3530.85i | 0.294005 | − | 0.643781i | −0.703772 | − | 0.710426i | \(-0.748502\pi\) |
0.997777 | + | 0.0666450i | \(0.0212295\pi\) | |||||||
\(312\) | 2076.34 | − | 14441.2i | 0.376761 | − | 2.62043i | ||||
\(313\) | −829.316 | + | 532.969i | −0.149763 | + | 0.0962466i | −0.613376 | − | 0.789791i | \(-0.710189\pi\) |
0.463613 | + | 0.886038i | \(0.346553\pi\) | |||||||
\(314\) | 6507.71 | + | 1910.84i | 1.16959 | + | 0.343423i | ||||
\(315\) | −188.222 | − | 1309.11i | −0.0336669 | − | 0.234159i | ||||
\(316\) | −18926.0 | − | 21841.8i | −3.36921 | − | 3.88828i | ||||
\(317\) | 3291.47 | + | 2115.30i | 0.583177 | + | 0.374785i | 0.798714 | − | 0.601710i | \(-0.205514\pi\) |
−0.215537 | + | 0.976496i | \(0.569150\pi\) | |||||||
\(318\) | 5415.85 | − | 6250.23i | 0.955050 | − | 1.10219i | ||||
\(319\) | 5289.28 | − | 1553.07i | 0.928347 | − | 0.272587i | ||||
\(320\) | 6237.11 | + | 13657.4i | 1.08958 | + | 2.38584i | ||||
\(321\) | 1507.73 | 0.262160 | ||||||||
\(322\) | 7189.79 | + | 3323.18i | 1.24432 | + | 0.575136i | ||||
\(323\) | −6395.16 | −1.10166 | ||||||||
\(324\) | 706.034 | + | 1546.00i | 0.121062 | + | 0.265089i | ||||
\(325\) | 241.578 | − | 70.9336i | 0.0412318 | − | 0.0121067i | ||||
\(326\) | −6431.17 | + | 7421.96i | −1.09261 | + | 1.26093i | ||||
\(327\) | 2082.81 | + | 1338.54i | 0.352231 | + | 0.226365i | ||||
\(328\) | 17197.7 | + | 19847.2i | 2.89507 | + | 3.34109i | ||||
\(329\) | 1023.90 | + | 7121.35i | 0.171578 | + | 1.19335i | ||||
\(330\) | 7095.51 | + | 2083.43i | 1.18362 | + | 0.347542i | ||||
\(331\) | −1867.05 | + | 1199.88i | −0.310037 | + | 0.199249i | −0.686401 | − | 0.727223i | \(-0.740811\pi\) |
0.376364 | + | 0.926472i | \(0.377174\pi\) | |||||||
\(332\) | 663.626 | − | 4615.62i | 0.109702 | − | 0.762997i | ||||
\(333\) | −574.508 | + | 1258.00i | −0.0945430 | + | 0.207020i | ||||
\(334\) | 227.626 | − | 498.432i | 0.0372909 | − | 0.0816556i | ||||
\(335\) | 745.952 | − | 5188.21i | 0.121659 | − | 0.846156i | ||||
\(336\) | −7015.55 | + | 4508.62i | −1.13908 | + | 0.732039i | ||||
\(337\) | −4723.28 | − | 1386.88i | −0.763482 | − | 0.224179i | −0.123266 | − | 0.992374i | \(-0.539337\pi\) |
−0.640216 | + | 0.768195i | \(0.721155\pi\) | |||||||
\(338\) | −2026.24 | − | 14092.8i | −0.326074 | − | 2.26790i | ||||
\(339\) | 476.991 | + | 550.477i | 0.0764207 | + | 0.0881942i | ||||
\(340\) | 11489.5 | + | 7383.84i | 1.83266 | + | 1.17778i | ||||
\(341\) | 3639.31 | − | 4199.98i | 0.577946 | − | 0.666985i | ||||
\(342\) | 5032.29 | − | 1477.61i | 0.795658 | − | 0.233626i | ||||
\(343\) | −2815.29 | − | 6164.62i | −0.443182 | − | 0.970433i | ||||
\(344\) | 7113.30 | 1.11489 | ||||||||
\(345\) | 1011.17 | + | 3502.74i | 0.157795 | + | 0.546612i | ||||
\(346\) | 7656.92 | 1.18971 | ||||||||
\(347\) | −2934.09 | − | 6424.76i | −0.453920 | − | 0.993946i | −0.988831 | − | 0.149038i | \(-0.952382\pi\) |
0.534911 | − | 0.844908i | \(-0.320345\pi\) | |||||||
\(348\) | −8011.26 | + | 2352.32i | −1.23405 | + | 0.362349i | ||||
\(349\) | −6411.24 | + | 7398.96i | −0.983340 | + | 1.13483i | 0.00752446 | + | 0.999972i | \(0.497605\pi\) |
−0.990864 | + | 0.134863i | \(0.956941\pi\) | |||||||
\(350\) | −218.581 | − | 140.474i | −0.0333819 | − | 0.0214532i | ||||
\(351\) | 1230.30 | + | 1419.84i | 0.187090 | + | 0.215913i | ||||
\(352\) | −3328.93 | − | 23153.2i | −0.504070 | − | 3.50588i | ||||
\(353\) | 209.722 | + | 61.5799i | 0.0316214 | + | 0.00928489i | 0.297505 | − | 0.954720i | \(-0.403846\pi\) |
−0.265884 | + | 0.964005i | \(0.585664\pi\) | |||||||
\(354\) | 2045.55 | − | 1314.59i | 0.307118 | − | 0.197373i | ||||
\(355\) | 1023.91 | − | 7121.42i | 0.153080 | − | 1.06469i | ||||
\(356\) | 6577.15 | − | 14402.0i | 0.979181 | − | 2.14411i | ||||
\(357\) | −982.070 | + | 2150.43i | −0.145593 | + | 0.318804i | ||||
\(358\) | −824.791 | + | 5736.54i | −0.121764 | + | 0.846888i | ||||
\(359\) | 1319.03 | − | 847.688i | 0.193916 | − | 0.124622i | −0.440080 | − | 0.897958i | \(-0.645050\pi\) |
0.633996 | + | 0.773336i | \(0.281414\pi\) | |||||||
\(360\) | −6649.51 | − | 1952.47i | −0.973499 | − | 0.285845i | ||||
\(361\) | −691.402 | − | 4808.81i | −0.100802 | − | 0.701095i | ||||
\(362\) | −14243.7 | − | 16438.1i | −2.06805 | − | 2.38665i | ||||
\(363\) | −999.999 | − | 642.660i | −0.144590 | − | 0.0929227i | ||||
\(364\) | −12752.8 | + | 14717.5i | −1.83634 | + | 2.11925i | ||||
\(365\) | −2279.46 | + | 669.310i | −0.326884 | + | 0.0959817i | ||||
\(366\) | 847.307 | + | 1855.34i | 0.121009 | + | 0.264974i | ||||
\(367\) | 8499.87 | 1.20896 | 0.604482 | − | 0.796619i | \(-0.293380\pi\) | ||||
0.604482 | + | 0.796619i | \(0.293380\pi\) | |||||||
\(368\) | 17441.8 | − | 14974.7i | 2.47070 | − | 2.12122i | ||||
\(369\) | −3381.70 | −0.477084 | ||||||||
\(370\) | −3786.15 | − | 8290.52i | −0.531980 | − | 1.16487i | ||||
\(371\) | −6553.46 | + | 1924.27i | −0.917085 | + | 0.269280i | ||||
\(372\) | −5512.17 | + | 6361.39i | −0.768260 | + | 0.886620i | ||||
\(373\) | 9329.44 | + | 5995.67i | 1.29507 | + | 0.832289i | 0.992666 | − | 0.120892i | \(-0.0385753\pi\) |
0.302401 | + | 0.953181i | \(0.402212\pi\) | |||||||
\(374\) | −8656.28 | − | 9989.88i | −1.19681 | − | 1.38119i | ||||
\(375\) | −604.994 | − | 4207.82i | −0.0833113 | − | 0.579443i | ||||
\(376\) | 36172.2 | + | 10621.1i | 4.96128 | + | 1.45676i | ||||
\(377\) | −7764.33 | + | 4989.83i | −1.06070 | + | 0.681670i | ||||
\(378\) | 275.920 | − | 1919.06i | 0.0375444 | − | 0.261127i | ||||
\(379\) | −962.592 | + | 2107.78i | −0.130462 | + | 0.285671i | −0.963578 | − | 0.267426i | \(-0.913827\pi\) |
0.833117 | + | 0.553097i | \(0.186554\pi\) | |||||||
\(380\) | −10395.1 | + | 22762.2i | −1.40331 | + | 3.07283i | ||||
\(381\) | 73.2047 | − | 509.150i | 0.00984354 | − | 0.0684633i | ||||
\(382\) | 17528.0 | − | 11264.6i | 2.34767 | − | 1.50876i | ||||
\(383\) | −853.724 | − | 250.676i | −0.113899 | − | 0.0334437i | 0.224286 | − | 0.974523i | \(-0.427995\pi\) |
−0.338185 | + | 0.941080i | \(0.609813\pi\) | |||||||
\(384\) | 1209.92 | + | 8415.18i | 0.160790 | + | 1.11832i | ||||
\(385\) | −3999.46 | − | 4615.62i | −0.529432 | − | 0.610997i | ||||
\(386\) | −17020.8 | − | 10938.6i | −2.24439 | − | 1.44238i | ||||
\(387\) | −599.838 | + | 692.250i | −0.0787893 | + | 0.0909277i | ||||
\(388\) | −16272.1 | + | 4777.93i | −2.12911 | + | 0.625162i | ||||
\(389\) | −674.349 | − | 1476.62i | −0.0878943 | − | 0.192462i | 0.860580 | − | 0.509315i | \(-0.170101\pi\) |
−0.948475 | + | 0.316853i | \(0.897374\pi\) | |||||||
\(390\) | −12381.2 | −1.60756 | ||||||||
\(391\) | 1864.48 | − | 6244.32i | 0.241152 | − | 0.807644i | ||||
\(392\) | −11538.5 | −1.48669 | ||||||||
\(393\) | 2333.57 | + | 5109.82i | 0.299525 | + | 0.655868i | ||||
\(394\) | −15981.3 | + | 4692.54i | −2.04347 | + | 0.600017i | ||||
\(395\) | −9937.50 | + | 11468.5i | −1.26585 | + | 1.46087i | ||||
\(396\) | 6602.42 | + | 4243.12i | 0.837839 | + | 0.538446i | ||||
\(397\) | 4258.88 | + | 4915.01i | 0.538406 | + | 0.621353i | 0.958142 | − | 0.286293i | \(-0.0924230\pi\) |
−0.419737 | + | 0.907646i | \(0.637878\pi\) | |||||||
\(398\) | 2050.47 | + | 14261.3i | 0.258243 | + | 1.79612i | ||||
\(399\) | −4156.01 | − | 1220.31i | −0.521455 | − | 0.153113i | ||||
\(400\) | −634.391 | + | 407.698i | −0.0792989 | + | 0.0509623i | ||||
\(401\) | −46.0346 | + | 320.177i | −0.00573281 | + | 0.0398726i | −0.992487 | − | 0.122350i | \(-0.960957\pi\) |
0.986754 | + | 0.162222i | \(0.0518662\pi\) | |||||||
\(402\) | 3191.95 | − | 6989.39i | 0.396020 | − | 0.867162i | ||||
\(403\) | −3865.22 | + | 8463.65i | −0.477768 | + | 1.04617i | ||||
\(404\) | −817.688 | + | 5687.14i | −0.100697 | + | 0.700361i | ||||
\(405\) | 750.738 | − | 482.470i | 0.0921098 | − | 0.0591954i | ||||
\(406\) | 9138.81 | + | 2683.40i | 1.11712 | + | 0.328017i | ||||
\(407\) | 908.860 | + | 6321.26i | 0.110689 | + | 0.769860i | ||||
\(408\) | 8112.17 | + | 9361.95i | 0.984344 | + | 1.13599i | ||||
\(409\) | 5868.23 | + | 3771.28i | 0.709450 | + | 0.455936i | 0.844953 | − | 0.534841i | \(-0.179629\pi\) |
−0.135503 | + | 0.990777i | \(0.543265\pi\) | |||||||
\(410\) | 14594.4 | − | 16842.8i | 1.75796 | − | 2.02880i | ||||
\(411\) | −989.933 | + | 290.671i | −0.118807 | + | 0.0348850i | ||||
\(412\) | −9482.62 | − | 20764.0i | −1.13392 | − | 2.48294i | ||||
\(413\) | −2008.14 | −0.239259 | ||||||||
\(414\) | −24.3761 | + | 5344.39i | −0.00289377 | + | 0.634450i | ||||
\(415\) | −2448.45 | −0.289614 | ||||||||
\(416\) | 16268.9 | + | 35624.0i | 1.91743 | + | 4.19858i | ||||
\(417\) | 7731.87 | − | 2270.28i | 0.907989 | − | 0.266610i | ||||
\(418\) | 15860.1 | − | 18303.5i | 1.85584 | − | 2.14176i | ||||
\(419\) | −784.638 | − | 504.256i | −0.0914846 | − | 0.0587936i | 0.494099 | − | 0.869406i | \(-0.335498\pi\) |
−0.585583 | + | 0.810612i | \(0.699135\pi\) | |||||||
\(420\) | 6057.67 | + | 6990.92i | 0.703771 | + | 0.812195i | ||||
\(421\) | −1163.93 | − | 8095.33i | −0.134743 | − | 0.937155i | −0.939255 | − | 0.343220i | \(-0.888482\pi\) |
0.804513 | − | 0.593936i | \(-0.202427\pi\) | |||||||
\(422\) | 12523.7 | + | 3677.30i | 1.44466 | + | 0.424190i | ||||
\(423\) | −4083.89 | + | 2624.56i | −0.469422 | + | 0.301679i | ||||
\(424\) | −5093.39 | + | 35425.3i | −0.583389 | + | 4.05756i | ||||
\(425\) | −88.8050 | + | 194.456i | −0.0101357 | + | 0.0221941i | ||||
\(426\) | 4381.32 | − | 9593.76i | 0.498300 | − | 1.09112i | ||||
\(427\) | 239.729 | − | 1667.35i | 0.0271693 | − | 0.188966i | ||||
\(428\) | −8871.31 | + | 5701.24i | −1.00189 | + | 0.643878i | ||||
\(429\) | 8324.09 | + | 2444.17i | 0.936808 | + | 0.275072i | ||||
\(430\) | −859.087 | − | 5975.08i | −0.0963462 | − | 0.670102i | ||||
\(431\) | −8710.61 | − | 10052.6i | −0.973493 | − | 1.12347i | −0.992326 | − | 0.123648i | \(-0.960541\pi\) |
0.0188333 | − | 0.999823i | \(-0.494005\pi\) | |||||||
\(432\) | −4733.73 | − | 3042.18i | −0.527203 | − | 0.338813i | ||||
\(433\) | 2447.94 | − | 2825.07i | 0.271687 | − | 0.313544i | −0.603467 | − | 0.797388i | \(-0.706214\pi\) |
0.875154 | + | 0.483844i | \(0.160760\pi\) | |||||||
\(434\) | 9213.08 | − | 2705.20i | 1.01899 | − | 0.299203i | ||||
\(435\) | 1821.21 | + | 3987.88i | 0.200736 | + | 0.439550i | ||||
\(436\) | −17316.5 | −1.90208 | ||||||||
\(437\) | 11810.6 | + | 1753.13i | 1.29286 | + | 0.191907i | ||||
\(438\) | −3482.60 | −0.379920 | ||||||||
\(439\) | 1284.46 | + | 2812.58i | 0.139645 | + | 0.305779i | 0.966514 | − | 0.256616i | \(-0.0826075\pi\) |
−0.826869 | + | 0.562395i | \(0.809880\pi\) | |||||||
\(440\) | −30705.9 | + | 9016.08i | −3.32693 | + | 0.976874i | ||||
\(441\) | 972.997 | − | 1122.90i | 0.105064 | − | 0.121250i | ||||
\(442\) | 18617.9 | + | 11965.0i | 2.00354 | + | 1.28760i | ||||
\(443\) | −2069.02 | − | 2387.78i | −0.221901 | − | 0.256087i | 0.633873 | − | 0.773437i | \(-0.281464\pi\) |
−0.855774 | + | 0.517350i | \(0.826919\pi\) | |||||||
\(444\) | −1376.58 | − | 9574.31i | −0.147139 | − | 1.02337i | ||||
\(445\) | −7976.56 | − | 2342.13i | −0.849720 | − | 0.249500i | ||||
\(446\) | 93.8855 | − | 60.3366i | 0.00996773 | − | 0.00640587i | ||||
\(447\) | −54.3843 | + | 378.251i | −0.00575456 | + | 0.0400239i | ||||
\(448\) | 7551.05 | − | 16534.5i | 0.796324 | − | 1.74371i | ||||
\(449\) | 5321.17 | − | 11651.7i | 0.559291 | − | 1.22468i | −0.393015 | − | 0.919532i | \(-0.628568\pi\) |
0.952306 | − | 0.305145i | \(-0.0987048\pi\) | |||||||
\(450\) | 24.9504 | − | 173.534i | 0.00261372 | − | 0.0181788i | ||||
\(451\) | −13137.0 | + | 8442.61i | −1.37161 | + | 0.881479i | ||||
\(452\) | −4888.10 | − | 1435.28i | −0.508666 | − | 0.149358i | ||||
\(453\) | 271.696 | + | 1889.69i | 0.0281797 | + | 0.195994i | ||||
\(454\) | 13785.8 | + | 15909.6i | 1.42511 | + | 1.64466i | ||||
\(455\) | 8602.05 | + | 5528.20i | 0.886308 | + | 0.569596i | ||||
\(456\) | −14863.2 | + | 17153.0i | −1.52639 | + | 1.76154i | ||||
\(457\) | −14794.5 | + | 4344.06i | −1.51435 | + | 0.444653i | −0.930218 | − | 0.367006i | \(-0.880383\pi\) |
−0.584131 | + | 0.811660i | \(0.698565\pi\) | |||||||
\(458\) | −1072.70 | − | 2348.88i | −0.109441 | − | 0.239642i | ||||
\(459\) | −1595.15 | −0.162212 | ||||||||
\(460\) | −19194.6 | − | 16786.1i | −1.94555 | − | 1.70143i | ||||
\(461\) | −12018.9 | −1.21427 | −0.607134 | − | 0.794599i | \(-0.707681\pi\) | ||||
−0.607134 | + | 0.794599i | \(0.707681\pi\) | |||||||
\(462\) | −3719.19 | − | 8143.88i | −0.374528 | − | 0.820103i | ||||
\(463\) | 18135.7 | − | 5325.12i | 1.82038 | − | 0.534513i | 0.821044 | − | 0.570865i | \(-0.193392\pi\) |
0.999339 | + | 0.0363524i | \(0.0115739\pi\) | |||||||
\(464\) | 18102.6 | − | 20891.5i | 1.81119 | − | 2.09023i | ||||
\(465\) | 3718.08 | + | 2389.47i | 0.370800 | + | 0.238298i | ||||
\(466\) | −12278.5 | − | 14170.2i | −1.22058 | − | 1.40863i | ||||
\(467\) | 1542.78 | + | 10730.3i | 0.152873 | + | 1.06325i | 0.911374 | + | 0.411580i | \(0.135023\pi\) |
−0.758501 | + | 0.651672i | \(0.774068\pi\) | |||||||
\(468\) | −12607.8 | − | 3702.00i | −1.24529 | − | 0.365651i | ||||
\(469\) | −5338.40 | + | 3430.78i | −0.525596 | + | 0.337780i | ||||
\(470\) | 4553.02 | − | 31667.0i | 0.446841 | − | 3.10785i | ||||
\(471\) | 1570.08 | − | 3437.99i | 0.153600 | − | 0.336336i | ||||
\(472\) | −4371.24 | + | 9571.67i | −0.426276 | + | 0.933415i | ||||
\(473\) | −601.961 | + | 4186.73i | −0.0585162 | + | 0.406989i | ||||
\(474\) | −18714.1 | + | 12026.8i | −1.81343 | + | 1.16542i | ||||
\(475\) | −375.813 | − | 110.349i | −0.0363021 | − | 0.0106593i | ||||
\(476\) | −2353.14 | − | 16366.4i | −0.226588 | − | 1.57595i | ||||
\(477\) | −3018.00 | − | 3482.96i | −0.289696 | − | 0.334327i | ||||
\(478\) | −15455.2 | − | 9932.43i | −1.47888 | − | 0.950416i | ||||
\(479\) | 4905.46 | − | 5661.21i | 0.467926 | − | 0.540015i | −0.471908 | − | 0.881648i | \(-0.656434\pi\) |
0.939833 | + | 0.341633i | \(0.110980\pi\) | |||||||
\(480\) | 17849.2 | − | 5241.00i | 1.69729 | − | 0.498370i | ||||
\(481\) | −4441.72 | − | 9726.01i | −0.421050 | − | 0.921971i | ||||
\(482\) | 14461.1 | 1.36656 | ||||||||
\(483\) | 2403.20 | − | 3702.21i | 0.226396 | − | 0.348771i | ||||
\(484\) | 8314.00 | 0.780804 | ||||||||
\(485\) | 3699.16 | + | 8100.03i | 0.346330 | + | 0.758358i | ||||
\(486\) | 1255.21 | − | 368.563i | 0.117155 | − | 0.0343999i | ||||
\(487\) | 695.902 | − | 803.113i | 0.0647522 | − | 0.0747280i | −0.722449 | − | 0.691424i | \(-0.756984\pi\) |
0.787201 | + | 0.616696i | \(0.211529\pi\) | |||||||
\(488\) | −7425.48 | − | 4772.07i | −0.688803 | − | 0.442667i | ||||
\(489\) | 3583.79 | + | 4135.92i | 0.331421 | + | 0.382480i | ||||
\(490\) | 1393.53 | + | 9692.19i | 0.128476 | + | 0.893568i | ||||
\(491\) | −11663.4 | − | 3424.67i | −1.07202 | − | 0.314772i | −0.302335 | − | 0.953202i | \(-0.597766\pi\) |
−0.769680 | + | 0.638429i | \(0.779584\pi\) | |||||||
\(492\) | 19897.5 | − | 12787.4i | 1.82327 | − | 1.17174i | ||||
\(493\) | 1115.24 | − | 7756.65i | 0.101882 | − | 0.708605i | ||||
\(494\) | −16844.6 | + | 36884.6i | −1.53416 | + | 3.35935i | ||||
\(495\) | 1711.89 | − | 3748.52i | 0.155442 | − | 0.340371i | ||||
\(496\) | 3966.04 | − | 27584.4i | 0.359033 | − | 2.49713i | ||||
\(497\) | −7327.58 | + | 4709.15i | −0.661342 | + | 0.425019i | ||||
\(498\) | −3443.87 | − | 1011.21i | −0.309886 | − | 0.0909908i | ||||
\(499\) | −1034.98 | − | 7198.43i | −0.0928496 | − | 0.645783i | −0.982100 | − | 0.188362i | \(-0.939682\pi\) |
0.889250 | − | 0.457421i | \(-0.151227\pi\) | |||||||
\(500\) | 19470.9 | + | 22470.7i | 1.74153 | + | 2.00984i | ||||
\(501\) | −256.874 | − | 165.083i | −0.0229067 | − | 0.0147213i | ||||
\(502\) | 3843.12 | − | 4435.20i | 0.341687 | − | 0.394328i | ||||
\(503\) | 17969.7 | − | 5276.38i | 1.59290 | − | 0.467718i | 0.639342 | − | 0.768923i | \(-0.279207\pi\) |
0.953559 | + | 0.301205i | \(0.0973888\pi\) | |||||||
\(504\) | 3485.41 | + | 7631.98i | 0.308041 | + | 0.674515i | ||||
\(505\) | 3016.86 | 0.265839 | ||||||||
\(506\) | 13247.9 | + | 20822.3i | 1.16391 | + | 1.82938i | ||||
\(507\) | −7934.04 | −0.694996 | ||||||||
\(508\) | 1494.54 | + | 3272.59i | 0.130531 | + | 0.285822i | ||||
\(509\) | 11027.0 | − | 3237.81i | 0.960239 | − | 0.281952i | 0.236195 | − | 0.971706i | \(-0.424099\pi\) |
0.724044 | + | 0.689754i | \(0.242281\pi\) | |||||||
\(510\) | 6884.20 | − | 7944.79i | 0.597720 | − | 0.689806i | ||||
\(511\) | 2419.59 | + | 1554.98i | 0.209464 | + | 0.134615i | ||||
\(512\) | −504.285 | − | 581.976i | −0.0435283 | − | 0.0502343i | ||||
\(513\) | −415.936 | − | 2892.90i | −0.0357974 | − | 0.248976i | ||||
\(514\) | 25.6116 | + | 7.52023i | 0.00219782 | + | 0.000645337i | ||||
\(515\) | −10083.0 | + | 6479.97i | −0.862740 | + | 0.554450i | ||||
\(516\) | 911.742 | − | 6341.31i | 0.0777853 | − | 0.541009i | ||||
\(517\) | −9312.42 | + | 20391.4i | −0.792185 | + | 1.73464i | ||||
\(518\) | −4583.76 | + | 10037.0i | −0.388801 | + | 0.851356i | ||||
\(519\) | 607.235 | − | 4223.42i | 0.0513578 | − | 0.357201i | ||||
\(520\) | 45074.4 | − | 28967.6i | 3.80124 | − | 2.44291i | ||||
\(521\) | 16400.4 | + | 4815.59i | 1.37911 | + | 0.404942i | 0.885458 | − | 0.464719i | \(-0.153845\pi\) |
0.493649 | + | 0.869661i | \(0.335663\pi\) | |||||||
\(522\) | 914.619 | + | 6361.32i | 0.0766893 | + | 0.533385i | ||||
\(523\) | 3084.08 | + | 3559.21i | 0.257853 | + | 0.297579i | 0.869885 | − | 0.493255i | \(-0.164193\pi\) |
−0.612032 | + | 0.790833i | \(0.709647\pi\) | |||||||
\(524\) | −33052.4 | − | 21241.5i | −2.75554 | − | 1.77088i | ||||
\(525\) | −94.8173 | + | 109.425i | −0.00788222 | + | 0.00909657i | ||||
\(526\) | 5275.23 | − | 1548.95i | 0.437283 | − | 0.128398i | ||||
\(527\) | −3281.82 | − | 7186.18i | −0.271268 | − | 0.593994i | ||||
\(528\) | −25984.2 | −2.14170 | ||||||||
\(529\) | −5155.10 | + | 11020.9i | −0.423695 | + | 0.905805i | ||||
\(530\) | 30372.0 | 2.48920 | ||||||||
\(531\) | −562.883 | − | 1232.54i | −0.0460020 | − | 0.100730i | ||||
\(532\) | 29067.9 | − | 8535.11i | 2.36890 | − | 0.695571i | ||||
\(533\) | 17121.4 | − | 19759.1i | 1.39139 | − | 1.60575i | ||||
\(534\) | −10252.1 | − | 6588.64i | −0.830811 | − | 0.533930i | ||||
\(535\) | 3626.00 | + | 4184.62i | 0.293020 | + | 0.338163i | ||||
\(536\) | 4732.20 | + | 32913.2i | 0.381343 | + | 2.65230i | ||||
\(537\) | 3098.76 | + | 909.879i | 0.249016 | + | 0.0731176i | ||||
\(538\) | 8438.92 | − | 5423.36i | 0.676259 | − | 0.434606i | ||||
\(539\) | 976.441 | − | 6791.29i | 0.0780302 | − | 0.542712i | ||||
\(540\) | −2592.87 | + | 5677.59i | −0.206628 | + | 0.452453i | ||||
\(541\) | 2943.26 | − | 6444.83i | 0.233901 | − | 0.512172i | −0.755890 | − | 0.654699i | \(-0.772795\pi\) |
0.989791 | + | 0.142527i | \(0.0455227\pi\) | |||||||
\(542\) | −5118.49 | + | 35599.9i | −0.405642 | + | 2.82130i | ||||
\(543\) | −10196.6 | + | 6552.93i | −0.805850 | + | 0.517888i | ||||
\(544\) | −31905.0 | − | 9368.17i | −2.51455 | − | 0.738340i | ||||
\(545\) | 1293.98 | + | 8999.83i | 0.101703 | + | 0.707358i | ||||
\(546\) | 9816.06 | + | 11328.3i | 0.769393 | + | 0.887926i | ||||
\(547\) | 11816.0 | + | 7593.67i | 0.923610 | + | 0.593568i | 0.913703 | − | 0.406383i | \(-0.133210\pi\) |
0.00990742 | + | 0.999951i | \(0.496846\pi\) | |||||||
\(548\) | 4725.53 | − | 5453.55i | 0.368366 | − | 0.425117i | ||||
\(549\) | 1090.57 | − | 320.220i | 0.0847803 | − | 0.0248937i | ||||
\(550\) | −336.313 | − | 736.422i | −0.0260735 | − | 0.0570930i | ||||
\(551\) | 14357.9 | 1.11011 | ||||||||
\(552\) | −12415.2 | − | 19513.5i | −0.957291 | − | 1.50462i | ||||
\(553\) | 18371.8 | 1.41275 | ||||||||
\(554\) | −17022.6 | − | 37274.3i | −1.30545 | − | 2.85854i | ||||
\(555\) | −4873.16 | + | 1430.89i | −0.372710 | + | 0.109438i | ||||
\(556\) | −36908.7 | + | 42594.9i | −2.81525 | + | 3.24897i | ||||
\(557\) | −17401.1 | − | 11183.0i | −1.32371 | − | 0.850700i | −0.328136 | − | 0.944631i | \(-0.606420\pi\) |
−0.995579 | + | 0.0939311i | \(0.970057\pi\) | |||||||
\(558\) | 4242.81 | + | 4896.47i | 0.321886 | + | 0.371477i | ||||
\(559\) | −1007.84 | − | 7009.66i | −0.0762558 | − | 0.530371i | ||||
\(560\) | −29385.4 | − | 8628.33i | −2.21743 | − | 0.651096i | ||||
\(561\) | −6196.72 | + | 3982.39i | −0.466356 | + | 0.299709i | ||||
\(562\) | −5454.38 | + | 37936.1i | −0.409394 | + | 2.84740i | ||||
\(563\) | −1159.26 | + | 2538.42i | −0.0867795 | + | 0.190021i | −0.948046 | − | 0.318132i | \(-0.896944\pi\) |
0.861267 | + | 0.508153i | \(0.169672\pi\) | |||||||
\(564\) | 14104.8 | − | 30885.2i | 1.05305 | − | 2.30585i | ||||
\(565\) | −380.686 | + | 2647.73i | −0.0283462 | + | 0.197152i | ||||
\(566\) | 10848.2 | − | 6971.74i | 0.805628 | − | 0.517746i | ||||
\(567\) | −1036.64 | − | 304.384i | −0.0767808 | − | 0.0225449i | ||||
\(568\) | 6495.50 | + | 45177.2i | 0.479833 | + | 3.33731i | ||||
\(569\) | 10940.4 | + | 12625.9i | 0.806055 | + | 0.930237i | 0.998697 | − | 0.0510322i | \(-0.0162511\pi\) |
−0.192642 | + | 0.981269i | \(0.561706\pi\) | |||||||
\(570\) | 16203.4 | + | 10413.3i | 1.19068 | + | 0.765201i | ||||
\(571\) | 16485.1 | − | 19024.8i | 1.20820 | − | 1.39433i | 0.312354 | − | 0.949966i | \(-0.398883\pi\) |
0.895844 | − | 0.444369i | \(-0.146572\pi\) | |||||||
\(572\) | −58220.2 | + | 17095.0i | −4.25579 | + | 1.24961i | ||||
\(573\) | −4823.26 | − | 10561.5i | −0.351649 | − | 0.770003i | ||||
\(574\) | −26981.2 | −1.96197 | ||||||||
\(575\) | 217.312 | − | 334.778i | 0.0157610 | − | 0.0242803i | ||||
\(576\) | 12265.0 | 0.887224 | ||||||||
\(577\) | −3755.28 | − | 8222.92i | −0.270944 | − | 0.593284i | 0.724432 | − | 0.689347i | \(-0.242102\pi\) |
−0.995375 | + | 0.0960630i | \(0.969375\pi\) | |||||||
\(578\) | 7348.34 | − | 2157.67i | 0.528807 | − | 0.155272i | ||||
\(579\) | −7383.35 | + | 8520.84i | −0.529951 | + | 0.611596i | ||||
\(580\) | −25795.3 | − | 16577.6i | −1.84671 | − | 1.18681i | ||||
\(581\) | 1941.17 | + | 2240.23i | 0.138612 | + | 0.159966i | ||||
\(582\) | 1857.74 | + | 12920.8i | 0.132312 | + | 0.920252i | ||||
\(583\) | −20419.5 | − | 5995.71i | −1.45058 | − | 0.425930i | ||||
\(584\) | 12678.6 | − | 8148.01i | 0.898360 | − | 0.577341i | ||||
\(585\) | −981.900 | + | 6829.26i | −0.0693958 | + | 0.482658i | ||||
\(586\) | −9505.52 | + | 20814.2i | −0.670084 | + | 1.46728i | ||||
\(587\) | 24.4452 | − | 53.5276i | 0.00171885 | − | 0.00376375i | −0.908771 | − | 0.417296i | \(-0.862978\pi\) |
0.910489 | + | 0.413532i | \(0.135705\pi\) | |||||||
\(588\) | −1478.94 | + | 10286.2i | −0.103725 | + | 0.721424i | ||||
\(589\) | 12176.8 | − | 7825.57i | 0.851846 | − | 0.547448i | ||||
\(590\) | 8568.01 | + | 2515.80i | 0.597864 | + | 0.175549i | ||||
\(591\) | 1320.91 | + | 9187.14i | 0.0919374 | + | 0.639439i | ||||
\(592\) | 20971.7 | + | 24202.6i | 1.45596 | + | 1.68027i | ||||
\(593\) | 10431.2 | + | 6703.76i | 0.722361 | + | 0.464233i | 0.849457 | − | 0.527657i | \(-0.176929\pi\) |
−0.127097 | + | 0.991890i | \(0.540566\pi\) | |||||||
\(594\) | 3956.00 | − | 4565.47i | 0.273261 | − | 0.315360i | ||||
\(595\) | −8330.23 | + | 2445.98i | −0.573960 | + | 0.168530i | ||||
\(596\) | −1110.31 | − | 2431.23i | −0.0763086 | − | 0.167092i | ||||
\(597\) | 8028.89 | 0.550420 | ||||||||
\(598\) | −31103.7 | − | 27200.9i | −2.12696 | − | 1.86008i | ||||
\(599\) | 7211.63 | 0.491918 | 0.245959 | − | 0.969280i | \(-0.420897\pi\) | ||||
0.245959 | + | 0.969280i | \(0.420897\pi\) | |||||||
\(600\) | 315.173 | + | 690.133i | 0.0214448 | + | 0.0469576i | ||||
\(601\) | 12753.1 | − | 3744.64i | 0.865573 | − | 0.254155i | 0.181342 | − | 0.983420i | \(-0.441956\pi\) |
0.684231 | + | 0.729265i | \(0.260138\pi\) | |||||||
\(602\) | −4785.86 | + | 5523.18i | −0.324015 | + | 0.373933i | ||||
\(603\) | −3602.08 | − | 2314.92i | −0.243264 | − | 0.156336i | ||||
\(604\) | −8744.18 | − | 10091.3i | −0.589066 | − | 0.679818i | ||||
\(605\) | −621.267 | − | 4321.00i | −0.0417489 | − | 0.290370i | ||||
\(606\) | 4243.36 | + | 1245.96i | 0.284447 | + | 0.0835212i | ||||
\(607\) | −3466.41 | + | 2227.72i | −0.231791 | + | 0.148963i | −0.651381 | − | 0.758751i | \(-0.725810\pi\) |
0.419590 | + | 0.907714i | \(0.362174\pi\) | |||||||
\(608\) | 8670.46 | − | 60304.4i | 0.578345 | − | 4.02248i | ||||
\(609\) | 2204.87 | − | 4827.99i | 0.146709 | − | 0.321248i | ||||
\(610\) | −3111.69 | + | 6813.65i | −0.206539 | + | 0.452257i | ||||
\(611\) | 5341.37 | − | 37150.1i | 0.353664 | − | 2.45979i | ||||
\(612\) | 9385.69 | − | 6031.82i | 0.619925 | − | 0.398402i | ||||
\(613\) | −26474.2 | − | 7773.54i | −1.74435 | − | 0.512186i | −0.754745 | − | 0.656019i | \(-0.772239\pi\) |
−0.989602 | + | 0.143832i | \(0.954057\pi\) | |||||||
\(614\) | −1731.80 | − | 12045.0i | −0.113827 | − | 0.791686i | ||||
\(615\) | −8132.78 | − | 9385.72i | −0.533244 | − | 0.615397i | ||||
\(616\) | 32593.5 | + | 20946.6i | 2.13187 | + | 1.37007i | ||||
\(617\) | −16194.0 | + | 18688.8i | −1.05664 | + | 1.21942i | −0.0817652 | + | 0.996652i | \(0.526056\pi\) |
−0.974871 | + | 0.222771i | \(0.928490\pi\) | |||||||
\(618\) | −16858.5 | + | 4950.10i | −1.09733 | + | 0.322204i | ||||
\(619\) | 1297.85 | + | 2841.89i | 0.0842728 | + | 0.184532i | 0.947077 | − | 0.321007i | \(-0.104021\pi\) |
−0.862804 | + | 0.505538i | \(0.831294\pi\) | |||||||
\(620\) | −30912.1 | −2.00236 | ||||||||
\(621\) | 2945.93 | + | 437.285i | 0.190364 | + | 0.0282571i | ||||
\(622\) | 20896.9 | 1.34709 | ||||||||
\(623\) | 4181.00 | + | 9155.11i | 0.268873 | + | 0.588751i | ||||
\(624\) | 41742.1 | − | 12256.6i | 2.67792 | − | 0.786307i | ||||
\(625\) | 9927.43 | − | 11456.9i | 0.635356 | − | 0.733239i | ||||
\(626\) | −4464.66 | − | 2869.26i | −0.285054 | − | 0.183193i | ||||
\(627\) | −8838.10 | − | 10199.7i | −0.562934 | − | 0.649660i | ||||
\(628\) | 3762.07 | + | 26165.8i | 0.239049 | + | 1.66262i | ||||
\(629\) | 8710.66 | + | 2557.68i | 0.552173 | + | 0.162133i | ||||
\(630\) | 5989.83 | − | 3849.43i | 0.378795 | − | 0.243437i | ||||
\(631\) | 1084.64 | − | 7543.86i | 0.0684295 | − | 0.475937i | −0.926575 | − | 0.376109i | \(-0.877262\pi\) |
0.995005 | − | 0.0998280i | \(-0.0318292\pi\) | |||||||
\(632\) | 39991.0 | − | 87568.1i | 2.51702 | − | 5.51151i | ||||
\(633\) | 3021.53 | − | 6616.23i | 0.189724 | − | 0.415437i | ||||
\(634\) | −2997.65 | + | 20849.1i | −0.187779 | + | 1.30603i | ||||
\(635\) | 1589.17 | − | 1021.30i | 0.0993139 | − | 0.0638252i | ||||
\(636\) | 30927.8 | + | 9081.23i | 1.92825 | + | 0.566186i | ||||
\(637\) | 1634.81 | + | 11370.4i | 0.101686 | + | 0.707238i | ||||
\(638\) | 19434.4 | + | 22428.5i | 1.20598 | + | 1.39178i | ||||
\(639\) | −4944.28 | − | 3177.49i | −0.306092 | − | 0.196713i | ||||
\(640\) | −20446.1 | + | 23596.1i | −1.26282 | + | 1.45737i | ||||
\(641\) | −5277.05 | + | 1549.48i | −0.325165 | + | 0.0954771i | −0.440241 | − | 0.897880i | \(-0.645107\pi\) |
0.115076 | + | 0.993357i | \(0.463289\pi\) | |||||||
\(642\) | 3371.89 | + | 7383.42i | 0.207287 | + | 0.453895i | ||||
\(643\) | −5906.20 | −0.362236 | −0.181118 | − | 0.983461i | \(-0.557972\pi\) | ||||
−0.181118 | + | 0.983461i | \(0.557972\pi\) | |||||||
\(644\) | −140.803 | + | 30870.7i | −0.00861556 | + | 1.88894i | ||||
\(645\) | −3363.88 | −0.205353 | ||||||||
\(646\) | −14302.2 | − | 31317.4i | −0.871070 | − | 1.90738i | ||||
\(647\) | −13893.8 | + | 4079.59i | −0.844237 | + | 0.247890i | −0.675122 | − | 0.737706i | \(-0.735909\pi\) |
−0.169115 | + | 0.985596i | \(0.554091\pi\) | |||||||
\(648\) | −3707.34 | + | 4278.50i | −0.224750 | + | 0.259376i | ||||
\(649\) | −5263.76 | − | 3382.81i | −0.318368 | − | 0.204602i | ||||
\(650\) | 887.631 | + | 1024.38i | 0.0535627 | + | 0.0618146i | ||||
\(651\) | −761.493 | − | 5296.30i | −0.0458453 | − | 0.318861i | ||||
\(652\) | −36725.9 | − | 10783.7i | −2.20598 | − | 0.647734i | ||||
\(653\) | −15595.8 | + | 10022.8i | −0.934628 | + | 0.600649i | −0.916867 | − | 0.399194i | \(-0.869290\pi\) |
−0.0177609 | + | 0.999842i | \(0.505654\pi\) | |||||||
\(654\) | −1896.88 | + | 13193.1i | −0.113416 | + | 0.788825i | ||||
\(655\) | −8569.92 | + | 18765.5i | −0.511228 | + | 1.11943i | ||||
\(656\) | −32530.2 | + | 71231.3i | −1.93612 | + | 4.23950i | ||||
\(657\) | −276.189 | + | 1920.94i | −0.0164006 | + | 0.114068i | ||||
\(658\) | −32583.7 | + | 20940.3i | −1.93046 | + | 1.24063i | ||||
\(659\) | −18207.1 | − | 5346.10i | −1.07625 | − | 0.316016i | −0.304873 | − | 0.952393i | \(-0.598614\pi\) |
−0.771378 | + | 0.636377i | \(0.780432\pi\) | |||||||
\(660\) | 4101.87 | + | 28529.1i | 0.241917 | + | 1.68257i | ||||
\(661\) | −13346.1 | − | 15402.2i | −0.785329 | − | 0.906318i | 0.212153 | − | 0.977236i | \(-0.431952\pi\) |
−0.997482 | + | 0.0709186i | \(0.977407\pi\) | |||||||
\(662\) | −10051.3 | − | 6459.61i | −0.590116 | − | 0.379245i | ||||
\(663\) | 8076.19 | − | 9320.42i | 0.473082 | − | 0.545965i | ||||
\(664\) | 14903.4 | − | 4376.03i | 0.871030 | − | 0.255757i | ||||
\(665\) | −6608.03 | − | 14469.6i | −0.385336 | − | 0.843768i | ||||
\(666\) | −7445.30 | −0.433182 | ||||||||
\(667\) | −4185.99 | + | 14019.3i | −0.243002 | + | 0.813837i | ||||
\(668\) | 2135.65 | 0.123699 | ||||||||
\(669\) | −25.8349 | − | 56.5706i | −0.00149303 | − | 0.00326927i | ||||
\(670\) | 27075.1 | − | 7949.98i | 1.56120 | − | 0.458410i | ||||
\(671\) | 3437.11 | − | 3966.64i | 0.197747 | − | 0.228212i | ||||
\(672\) | −18946.4 | − | 12176.1i | −1.08761 | − | 0.698966i | ||||
\(673\) | 5155.51 | + | 5949.78i | 0.295290 | + | 0.340783i | 0.883936 | − | 0.467608i | \(-0.154884\pi\) |
−0.588646 | + | 0.808391i | \(0.700339\pi\) | |||||||
\(674\) | −3771.55 | − | 26231.7i | −0.215541 | − | 1.49912i | ||||
\(675\) | −93.7395 | − | 27.5244i | −0.00534524 | − | 0.00156950i | ||||
\(676\) | 46682.9 | − | 30001.3i | 2.65606 | − | 1.70695i | ||||
\(677\) | 1147.07 | − | 7978.07i | 0.0651191 | − | 0.452913i | −0.931009 | − | 0.364997i | \(-0.881070\pi\) |
0.996128 | − | 0.0879164i | \(-0.0280208\pi\) | |||||||
\(678\) | −1628.97 | + | 3566.94i | −0.0922715 | + | 0.202046i | ||||
\(679\) | 4478.44 | − | 9806.43i | 0.253118 | − | 0.554250i | ||||
\(680\) | −6474.31 | + | 45029.8i | −0.365115 | + | 2.53943i | ||||
\(681\) | 9868.74 | − | 6342.26i | 0.555317 | − | 0.356881i | ||||
\(682\) | 28706.5 | + | 8428.98i | 1.61177 | + | 0.473259i | ||||
\(683\) | −3136.87 | − | 21817.4i | −0.175738 | − | 1.22228i | −0.866491 | − | 0.499193i | \(-0.833630\pi\) |
0.690753 | − | 0.723091i | \(-0.257279\pi\) | |||||||
\(684\) | 13386.4 | + | 15448.7i | 0.748305 | + | 0.863590i | ||||
\(685\) | −3187.47 | − | 2048.46i | −0.177791 | − | 0.114259i | ||||
\(686\) | 23892.3 | − | 27573.2i | 1.32976 | − | 1.53462i | ||||
\(687\) | −1380.67 | + | 405.401i | −0.0766751 | + | 0.0225138i | ||||
\(688\) | 8811.25 | + | 19293.9i | 0.488264 | + | 1.06915i | ||||
\(689\) | 35630.8 | 1.97014 | ||||||||
\(690\) | −14891.7 | + | 12785.3i | −0.821619 | + | 0.705402i | ||||
\(691\) | −33938.6 | −1.86843 | −0.934215 | − | 0.356712i | \(-0.883898\pi\) | ||||
−0.934215 | + | 0.356712i | \(0.883898\pi\) | |||||||
\(692\) | 12397.3 | + | 27146.3i | 0.681031 | + | 1.49125i | ||||
\(693\) | −4786.97 | + | 1405.58i | −0.262398 | + | 0.0770470i | ||||
\(694\) | 24900.5 | − | 28736.8i | 1.36198 | − | 1.57180i | ||||
\(695\) | 24895.7 | + | 15999.5i | 1.35878 | + | 0.873232i | ||||
\(696\) | −18212.9 | − | 21018.8i | −0.991892 | − | 1.14470i | ||||
\(697\) | 3159.23 | + | 21972.9i | 0.171685 | + | 1.19409i | ||||
\(698\) | −50571.2 | − | 14849.0i | −2.74233 | − | 0.805221i | ||||
\(699\) | −8789.76 | + | 5648.83i | −0.475621 | + | 0.305663i | ||||
\(700\) | 144.121 | − | 1002.38i | 0.00778178 | − | 0.0541235i | ||||
\(701\) | −3362.78 | + | 7363.47i | −0.181185 | + | 0.396740i | −0.978331 | − | 0.207047i | \(-0.933615\pi\) |
0.797146 | + | 0.603786i | \(0.206342\pi\) | |||||||
\(702\) | −4201.58 | + | 9200.17i | −0.225895 | + | 0.494641i | ||||
\(703\) | −2367.20 | + | 16464.2i | −0.126999 | + | 0.883299i | ||||
\(704\) | 47646.1 | − | 30620.3i | 2.55075 | − | 1.63927i | ||||
\(705\) | −17105.8 | − | 5022.73i | −0.913820 | − | 0.268322i | ||||
\(706\) | 167.463 | + | 1164.73i | 0.00892716 | + | 0.0620897i | ||||
\(707\) | −2391.82 | − | 2760.31i | −0.127233 | − | 0.146834i | ||||
\(708\) | 7972.60 | + | 5123.68i | 0.423204 | + | 0.271977i | ||||
\(709\) | −9267.20 | + | 10694.9i | −0.490884 | + | 0.566510i | −0.946102 | − | 0.323870i | \(-0.895016\pi\) |
0.455218 | + | 0.890380i | \(0.349561\pi\) | |||||||
\(710\) | 37163.8 | − | 10912.3i | 1.96441 | − | 0.576803i | ||||
\(711\) | 5149.63 | + | 11276.1i | 0.271626 | + | 0.594779i | ||||
\(712\) | 52738.3 | 2.77591 | ||||||||
\(713\) | 4090.91 | + | 14171.1i | 0.214875 | + | 0.744338i | ||||
\(714\) | −12727.1 | −0.667085 | ||||||||
\(715\) | 13235.2 | + | 28981.2i | 0.692266 | + | 1.51585i | ||||
\(716\) | −21673.3 | + | 6363.86i | −1.13124 | + | 0.332163i | ||||
\(717\) | −6704.22 | + | 7737.09i | −0.349196 | + | 0.402994i | ||||
\(718\) | 7101.05 | + | 4563.57i | 0.369093 | + | 0.237202i | ||||
\(719\) | −21007.2 | − | 24243.6i | −1.08962 | − | 1.25749i | −0.964141 | − | 0.265389i | \(-0.914500\pi\) |
−0.125476 | − | 0.992097i | \(-0.540046\pi\) | |||||||
\(720\) | −2940.91 | − | 20454.5i | −0.152224 | − | 1.05874i | ||||
\(721\) | 13922.9 | + | 4088.13i | 0.719162 | + | 0.211165i | ||||
\(722\) | 22002.7 | − | 14140.3i | 1.13415 | − | 0.728873i | ||||
\(723\) | 1146.84 | − | 7976.46i | 0.0589924 | − | 0.410301i | ||||
\(724\) | 35216.5 | − | 77113.4i | 1.80775 | − | 3.95842i | ||||
\(725\) | 199.379 | − | 436.578i | 0.0102134 | − | 0.0223643i | ||||
\(726\) | 910.733 | − | 6334.29i | 0.0465571 | − | 0.323812i | ||||
\(727\) | 15505.8 | − | 9964.96i | 0.791029 | − | 0.508363i | −0.0816483 | − | 0.996661i | \(-0.526018\pi\) |
0.872677 | + | 0.488298i | \(0.162382\pi\) | |||||||
\(728\) | −62239.9 | − | 18275.3i | −3.16863 | − | 0.930394i | ||||
\(729\) | −103.748 | − | 721.580i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −8375.44 | − | 9665.78i | −0.424643 | − | 0.490064i | ||||
\(731\) | 5058.33 | + | 3250.79i | 0.255936 | + | 0.164480i | ||||
\(732\) | −5205.92 | + | 6007.96i | −0.262864 | + | 0.303361i | ||||
\(733\) | −10057.9 | + | 2953.27i | −0.506818 | + | 0.148815i | −0.525138 | − | 0.851017i | \(-0.675986\pi\) |
0.0183200 | + | 0.999832i | \(0.494168\pi\) | |||||||
\(734\) | 19009.2 | + | 41624.3i | 0.955914 | + | 2.09316i | ||||
\(735\) | 5456.55 | 0.273834 | ||||||||
\(736\) | 56354.2 | + | 26047.4i | 2.82234 | + | 1.30451i | ||||
\(737\) | −19772.4 | −0.988231 | ||||||||
\(738\) | −7562.85 | − | 16560.3i | −0.377225 | − | 0.826008i | ||||
\(739\) | −8364.73 | + | 2456.11i | −0.416376 | + | 0.122259i | −0.483209 | − | 0.875505i | \(-0.660529\pi\) |
0.0668329 | + | 0.997764i | \(0.478711\pi\) | |||||||
\(740\) | 23262.4 | − | 26846.3i | 1.15560 | − | 1.33363i | ||||
\(741\) | 19009.0 | + | 12216.3i | 0.942393 | + | 0.605639i | ||||
\(742\) | −24079.4 | − | 27789.1i | −1.19135 | − | 1.37489i | ||||
\(743\) | 2336.25 | + | 16248.9i | 0.115355 | + | 0.802310i | 0.962565 | + | 0.271052i | \(0.0873714\pi\) |
−0.847210 | + | 0.531258i | \(0.821720\pi\) | |||||||
\(744\) | −26902.1 | − | 7899.16i | −1.32564 | − | 0.389244i | ||||
\(745\) | −1180.61 | + | 758.730i | −0.0580592 | + | 0.0373124i | ||||
\(746\) | −8496.64 | + | 59095.4i | −0.417003 | + | 2.90032i | ||||
\(747\) | −830.882 | + | 1819.38i | −0.0406966 | + | 0.0891132i | ||||
\(748\) | 21402.0 | − | 46863.9i | 1.04617 | − | 2.29079i | ||||
\(749\) | 954.010 | − | 6635.28i | 0.0465404 | − | 0.323696i | ||||
\(750\) | 19252.9 | − | 12373.1i | 0.937355 | − | 0.602402i | ||||
\(751\) | 5209.52 | + | 1529.65i | 0.253127 | + | 0.0743247i | 0.405834 | − | 0.913947i | \(-0.366981\pi\) |
−0.152708 | + | 0.988271i | \(0.548799\pi\) | |||||||
\(752\) | 15998.1 | + | 111269.i | 0.775785 | + | 5.39570i | ||||
\(753\) | −2141.60 | − | 2471.53i | −0.103644 | − | 0.119612i | ||||
\(754\) | −41799.6 | − | 26863.0i | −2.01890 | − | 1.29747i | ||||
\(755\) | −4591.32 | + | 5298.66i | −0.221318 | + | 0.255415i | ||||
\(756\) | 7250.44 | − | 2128.92i | 0.348804 | − | 0.102418i | ||||
\(757\) | 5763.56 | + | 12620.4i | 0.276724 | + | 0.605941i | 0.996056 | − | 0.0887253i | \(-0.0282793\pi\) |
−0.719332 | + | 0.694666i | \(0.755552\pi\) | |||||||
\(758\) | −12474.6 | −0.597757 | ||||||||
\(759\) | 12535.8 | − | 5655.97i | 0.599502 | − | 0.270486i | ||||
\(760\) | −83352.4 | −3.97830 | ||||||||
\(761\) | −10492.6 | − | 22975.7i | −0.499813 | − | 1.09444i | −0.976530 | − | 0.215382i | \(-0.930900\pi\) |
0.476716 | − | 0.879057i | \(-0.341827\pi\) | |||||||
\(762\) | 2657.04 | − | 780.179i | 0.126318 | − | 0.0370904i | ||||
\(763\) | 7208.59 | − | 8319.16i | 0.342029 | − | 0.394723i | ||||
\(764\) | 68316.0 | + | 43904.1i | 3.23506 | + | 2.07905i | ||||
\(765\) | −3836.24 | − | 4427.26i | −0.181307 | − | 0.209239i | ||||
\(766\) | −681.701 | − | 4741.34i | −0.0321552 | − | 0.223644i | ||||
\(767\) | 10051.6 | + | 2951.40i | 0.473195 | + | 0.138943i | ||||
\(768\) | −10989.1 | + | 7062.26i | −0.516321 | + | 0.331819i | ||||
\(769\) | 5705.95 | − | 39685.7i | 0.267571 | − | 1.86099i | −0.203738 | − | 0.979026i | \(-0.565309\pi\) |
0.471308 | − | 0.881969i | \(-0.343782\pi\) | |||||||
\(770\) | 13658.5 | − | 29907.9i | 0.639244 | − | 1.39975i | ||||
\(771\) | 6.17916 | − | 13.5305i | 0.000288634 | − | 0.000632021i | ||||
\(772\) | 11222.6 | − | 78054.6i | 0.523198 | − | 3.63892i | ||||
\(773\) | −4984.74 | + | 3203.50i | −0.231939 | + | 0.149058i | −0.651449 | − | 0.758693i | \(-0.725838\pi\) |
0.419510 | + | 0.907751i | \(0.362202\pi\) | |||||||
\(774\) | −4731.46 | − | 1389.28i | −0.219727 | − | 0.0645177i | ||||
\(775\) | −68.8591 | − | 478.926i | −0.00319160 | − | 0.0221981i | ||||
\(776\) | −36993.2 | − | 42692.5i | −1.71131 | − | 1.97496i | ||||
\(777\) | 5172.73 | + | 3324.31i | 0.238830 | + | 0.153486i | ||||
\(778\) | 5722.95 | − | 6604.64i | 0.263725 | − | 0.304354i | ||||
\(779\) | −39025.4 | + | 11458.9i | −1.79490 | + | 0.527031i | ||||
\(780\) | −20046.4 | − | 43895.5i | −0.920226 | − | 2.01501i | ||||
\(781\) | −27139.9 | −1.24346 | ||||||||
\(782\) | 34748.5 | − | 4834.41i | 1.58901 | − | 0.221072i | ||||
\(783\) | 3581.32 | 0.163456 | ||||||||
\(784\) | −14292.7 | − | 31296.7i | −0.651090 | − | 1.42569i | ||||
\(785\) | 13317.9 | − | 3910.49i | 0.605525 | − | 0.177798i | ||||
\(786\) | −19804.2 | + | 22855.2i | −0.898717 | + | 1.03717i | ||||
\(787\) | 16304.9 | + | 10478.5i | 0.738508 | + | 0.474610i | 0.855030 | − | 0.518578i | \(-0.173538\pi\) |
−0.116523 | + | 0.993188i | \(0.537175\pi\) | |||||||
\(788\) | −42511.8 | − | 49061.2i | −1.92185 | − | 2.21794i | ||||
\(789\) | −436.016 | − | 3032.56i | −0.0196737 | − | 0.136834i | ||||
\(790\) | −78385.9 | − | 23016.2i | −3.53019 | − | 1.03656i | ||||
\(791\) | 2724.38 | − | 1750.85i | 0.122462 | − | 0.0787018i | ||||
\(792\) | −3720.46 | + | 25876.4i | −0.166920 | + | 1.16096i | ||||
\(793\) | −3650.47 | + | 7993.42i | −0.163471 | + | 0.357951i | ||||
\(794\) | −14544.4 | + | 31847.9i | −0.650079 | + | 1.42347i | ||||
\(795\) | 2408.66 | − | 16752.6i | 0.107455 | − | 0.747364i | ||||
\(796\) | −47241.1 | + | 30360.0i | −2.10354 | + | 1.35186i | ||||
\(797\) | 34036.6 | + | 9994.04i | 1.51272 | + | 0.444175i | 0.929711 | − | 0.368291i | \(-0.120057\pi\) |
0.583009 | + | 0.812466i | \(0.301875\pi\) | |||||||
\(798\) | −3318.59 | − | 23081.3i | −0.147214 | − | 1.02390i | ||||
\(799\) | 20868.5 | + | 24083.6i | 0.924000 | + | 1.06635i | ||||
\(800\) | −1713.26 | − | 1101.05i | −0.0757161 | − | 0.0486598i | ||||
\(801\) | −4447.22 | + | 5132.37i | −0.196173 | + | 0.226396i | ||||
\(802\) | −1670.88 | + | 490.613i | −0.0735669 | + | 0.0216012i | ||||
\(803\) | 3722.82 | + | 8151.84i | 0.163606 | + | 0.358247i | ||||
\(804\) | 29947.7 | 1.31365 | ||||||||
\(805\) | 16054.8 | − | 2233.64i | 0.702930 | − | 0.0977958i | ||||
\(806\) | −50091.1 | −2.18906 | ||||||||
\(807\) | −2322.18 | − | 5084.85i | −0.101294 | − | 0.221803i | ||||
\(808\) | −18363.2 | + | 5391.93i | −0.799525 | + | 0.234762i | ||||
\(809\) | −20754.7 | + | 23952.2i | −0.901974 | + | 1.04093i | 0.0969831 | + | 0.995286i | \(0.469081\pi\) |
−0.998958 | + | 0.0456480i | \(0.985465\pi\) | |||||||
\(810\) | 4041.63 | + | 2597.40i | 0.175319 | + | 0.112671i | ||||
\(811\) | 27422.2 | + | 31646.9i | 1.18733 | + | 1.37025i | 0.912665 | + | 0.408708i | \(0.134021\pi\) |
0.274662 | + | 0.961541i | \(0.411434\pi\) | |||||||
\(812\) | 5283.09 | + | 36744.7i | 0.228325 | + | 1.58804i | ||||
\(813\) | 19230.3 | + | 5646.53i | 0.829566 | + | 0.243582i | ||||
\(814\) | −28922.9 | + | 18587.6i | −1.24539 | + | 0.800363i | ||||
\(815\) | −2860.22 | + | 19893.2i | −0.122931 | + | 0.855006i | ||||
\(816\) | −15344.6 | + | 33599.9i | −0.658293 | + | 1.44146i | ||||
\(817\) | −4576.54 | + | 10021.2i | −0.195977 | + | 0.429129i | ||||
\(818\) | −5344.39 | + | 37171.1i | −0.228438 | + | 1.58882i | ||||
\(819\) | 7026.97 | − | 4515.96i | 0.299807 | − | 0.192674i | ||||
\(820\) | 83342.9 | + | 24471.7i | 3.54934 | + | 1.04218i | ||||
\(821\) | −2155.30 | − | 14990.5i | −0.0916207 | − | 0.637236i | −0.982949 | − | 0.183878i | \(-0.941135\pi\) |
0.891328 | − | 0.453358i | \(-0.149774\pi\) | |||||||
\(822\) | −3637.32 | − | 4197.69i | −0.154338 | − | 0.178116i | ||||
\(823\) | 11031.5 | + | 7089.50i | 0.467234 | + | 0.300273i | 0.752993 | − | 0.658029i | \(-0.228609\pi\) |
−0.285759 | + | 0.958301i | \(0.592246\pi\) | |||||||
\(824\) | 49792.7 | − | 57463.8i | 2.10511 | − | 2.42942i | ||||
\(825\) | −432.868 | + | 127.102i | −0.0182673 | + | 0.00536377i | ||||
\(826\) | −4491.01 | − | 9833.95i | −0.189180 | − | 0.414246i | ||||
\(827\) | 16589.9 | 0.697567 | 0.348784 | − | 0.937203i | \(-0.386595\pi\) | ||||
0.348784 | + | 0.937203i | \(0.386595\pi\) | |||||||
\(828\) | −18987.1 | + | 8566.65i | −0.796915 | + | 0.359555i | ||||
\(829\) | 31203.8 | 1.30730 | 0.653650 | − | 0.756797i | \(-0.273237\pi\) | ||||
0.653650 | + | 0.756797i | \(0.273237\pi\) | |||||||
\(830\) | −5475.73 | − | 11990.2i | −0.228994 | − | 0.501428i | ||||
\(831\) | −21909.8 | + | 6433.29i | −0.914611 | + | 0.268554i | ||||
\(832\) | −62097.1 | + | 71663.9i | −2.58754 | + | 2.98618i | ||||
\(833\) | −8205.13 | − | 5273.12i | −0.341286 | − | 0.219331i | ||||
\(834\) | 28409.3 | + | 32786.1i | 1.17954 | + | 1.36126i | ||||
\(835\) | −159.587 | − | 1109.95i | −0.00661407 | − | 0.0460018i | ||||
\(836\) | 90570.9 | + | 26594.0i | 3.74696 | + | 1.10021i | ||||
\(837\) | 3037.28 | − | 1951.94i | 0.125429 | − | 0.0806081i | ||||
\(838\) | 714.596 | − | 4970.13i | 0.0294574 | − | 0.204881i | ||||
\(839\) | 12561.8 | − | 27506.5i | 0.516902 | − | 1.13186i | −0.453697 | − | 0.891156i | \(-0.649895\pi\) |
0.970599 | − | 0.240702i | \(-0.0773775\pi\) | |||||||
\(840\) | −12800.0 | + | 28028.0i | −0.525763 | + | 1.15126i | ||||
\(841\) | 967.065 | − | 6726.08i | 0.0396517 | − | 0.275784i | ||||
\(842\) | 37040.2 | − | 23804.3i | 1.51602 | − | 0.974287i | ||||
\(843\) | 20492.3 | + | 6017.07i | 0.837237 | + | 0.245835i | ||||
\(844\) | 7239.89 | + | 50354.6i | 0.295269 | + | 2.05364i | ||||
\(845\) | −19080.9 | − | 22020.5i | −0.776807 | − | 0.896483i | ||||
\(846\) | −21985.8 | − | 14129.4i | −0.893485 | − | 0.574208i | ||||
\(847\) | −3460.99 | + | 3994.20i | −0.140403 | + | 0.162033i | ||||
\(848\) | −102396. | + | 30066.2i | −4.14657 | + | 1.21754i | ||||
\(849\) | −2985.16 | − | 6536.59i | −0.120672 | − | 0.264234i | ||||
\(850\) | −1150.86 | −0.0464403 | ||||||||
\(851\) | −15385.7 | − | 7111.42i | −0.619761 | − | 0.286459i | ||||
\(852\) | 41106.7 | 1.65293 | ||||||||
\(853\) | 569.111 | + | 1246.18i | 0.0228441 | + | 0.0500216i | 0.920710 | − | 0.390247i | \(-0.127610\pi\) |
−0.897866 | + | 0.440269i | \(0.854883\pi\) | |||||||
\(854\) | 8701.21 | − | 2554.91i | 0.348653 | − | 0.102374i | ||||
\(855\) | 7028.80 | − | 8111.66i | 0.281146 | − | 0.324460i | ||||
\(856\) | −29550.0 | − | 18990.6i | −1.17991 | − | 0.758279i | ||||
\(857\) | −18504.4 | − | 21355.3i | −0.737573 | − | 0.851204i | 0.255729 | − | 0.966748i | \(-0.417684\pi\) |
−0.993302 | + | 0.115544i | \(0.963139\pi\) | |||||||
\(858\) | 6646.81 | + | 46229.6i | 0.264474 | + | 1.83945i | ||||
\(859\) | 3468.41 | + | 1018.42i | 0.137765 | + | 0.0404516i | 0.349888 | − | 0.936791i | \(-0.386220\pi\) |
−0.212123 | + | 0.977243i | \(0.568038\pi\) | |||||||
\(860\) | 19792.7 | − | 12720.0i | 0.784795 | − | 0.504357i | ||||
\(861\) | −2139.76 | + | 14882.3i | −0.0846953 | + | 0.589069i | ||||
\(862\) | 29747.5 | − | 65137.9i | 1.17541 | − | 2.57379i | ||||
\(863\) | −4625.29 | + | 10128.0i | −0.182441 | + | 0.399491i | −0.978651 | − | 0.205530i | \(-0.934108\pi\) |
0.796209 | + | 0.605021i | \(0.206835\pi\) | |||||||
\(864\) | 2162.68 | − | 15041.8i | 0.0851574 | − | 0.592283i | ||||
\(865\) | 13182.2 | − | 8471.71i | 0.518161 | − | 0.333002i | ||||
\(866\) | 19309.1 | + | 5669.67i | 0.757679 | + | 0.222475i | ||||
\(867\) | −607.366 | − | 4224.32i | −0.0237915 | − | 0.165474i | ||||
\(868\) | 24507.7 | + | 28283.4i | 0.958346 | + | 1.10599i | ||||
\(869\) | 48156.4 | + | 30948.2i | 1.87986 | + | 1.20811i | ||||
\(870\) | −15455.9 | + | 17837.1i | −0.602303 | + | 0.695095i | ||||
\(871\) | 31763.2 | − | 9326.51i | 1.23565 | − | 0.362821i | ||||
\(872\) | −23961.4 | − | 52468.1i | −0.930544 | − | 2.03761i | ||||
\(873\) | 7274.23 | 0.282011 | ||||||||
\(874\) | 17828.2 | + | 61757.8i | 0.689985 | + | 2.39015i | ||||
\(875\) | −18900.8 | −0.730244 | ||||||||
\(876\) | −5638.66 | − | 12346.9i | −0.217480 | − | 0.476215i | ||||
\(877\) | −43012.6 | + | 12629.6i | −1.65614 | + | 0.486286i | −0.970388 | − | 0.241551i | \(-0.922344\pi\) |
−0.685750 | + | 0.727837i | \(0.740526\pi\) | |||||||
\(878\) | −10900.7 | + | 12580.1i | −0.419000 | + | 0.483552i | ||||
\(879\) | 10726.9 | + | 6893.75i | 0.411614 | + | 0.264528i | ||||
\(880\) | −62490.5 | − | 72117.9i | −2.39381 | − | 2.76260i | ||||
\(881\) | −6116.36 | − | 42540.2i | −0.233900 | − | 1.62681i | −0.680972 | − | 0.732309i | \(-0.738443\pi\) |
0.447073 | − | 0.894498i | \(-0.352466\pi\) | |||||||
\(882\) | 7674.90 | + | 2253.55i | 0.293002 | + | 0.0860330i | ||||
\(883\) | −18536.5 | + | 11912.7i | −0.706459 | + | 0.454013i | −0.843903 | − | 0.536496i | \(-0.819748\pi\) |
0.137444 | + | 0.990510i | \(0.456111\pi\) | |||||||
\(884\) | −12275.7 | + | 85379.1i | −0.467053 | + | 3.24843i | ||||
\(885\) | 2067.16 | − | 4526.44i | 0.0785161 | − | 0.171926i | ||||
\(886\) | 7065.89 | − | 15472.1i | 0.267927 | − | 0.586678i | ||||
\(887\) | −118.912 | + | 827.054i | −0.00450134 | + | 0.0313075i | −0.991948 | − | 0.126643i | \(-0.959580\pi\) |
0.987447 | + | 0.157951i | \(0.0504887\pi\) | |||||||
\(888\) | 27104.9 | − | 17419.3i | 1.02430 | − | 0.658280i | ||||
\(889\) | −2194.37 | − | 644.325i | −0.0827860 | − | 0.0243082i | ||||
\(890\) | −6369.31 | − | 44299.5i | −0.239887 | − | 1.66845i | ||||
\(891\) | −2204.50 | − | 2544.13i | −0.0828882 | − | 0.0956581i | ||||
\(892\) | 365.922 | + | 235.164i | 0.0137354 | + | 0.00882721i | ||||
\(893\) | −38235.5 | + | 44126.1i | −1.43281 | + | 1.65355i | ||||
\(894\) | −1973.94 | + | 579.601i | −0.0738461 | + | 0.0216832i | ||||
\(895\) | 4927.01 | + | 10788.7i | 0.184013 | + | 0.402933i | ||||
\(896\) | 37799.5 | 1.40937 | ||||||||
\(897\) | −17470.2 | + | 14999.0i | −0.650292 | + | 0.558309i | ||||
\(898\) | 68959.4 | 2.56259 | ||||||||
\(899\) | 7368.10 | + | 16133.9i | 0.273348 | + | 0.598549i | ||||
\(900\) | 655.632 | − | 192.511i | 0.0242827 | − | 0.00713003i | ||||
\(901\) | −19811.4 | + | 22863.6i | −0.732535 | + | 0.845390i | ||||
\(902\) | −70723.4 | − | 45451.2i | −2.61068 | − | 1.67778i | ||||
\(903\) | 2666.94 | + | 3077.81i | 0.0982837 | + | 0.113425i | ||||
\(904\) | −2415.01 | − | 16796.8i | −0.0888518 | − | 0.617978i | ||||
\(905\) | −42709.4 | − | 12540.6i | −1.56874 | − | 0.460624i | ||||
\(906\) | −8646.26 | + | 5556.62i | −0.317056 | + | 0.203760i | ||||
\(907\) | 5144.27 | − | 35779.2i | 0.188327 | − | 1.30984i | −0.648011 | − | 0.761631i | \(-0.724399\pi\) |
0.836338 | − | 0.548214i | \(-0.184692\pi\) | |||||||
\(908\) | −34084.3 | + | 74634.2i | −1.24573 | + | 2.72778i | ||||
\(909\) | 1023.77 | − | 2241.75i | 0.0373558 | − | 0.0817977i | ||||
\(910\) | −7834.18 | + | 54487.9i | −0.285385 | + | 1.98490i | ||||
\(911\) | −23491.6 | + | 15097.1i | −0.854348 | + | 0.549056i | −0.892928 | − | 0.450199i | \(-0.851353\pi\) |
0.0385799 | + | 0.999256i | \(0.487717\pi\) | |||||||
\(912\) | −64936.5 | − | 19067.1i | −2.35774 | − | 0.692296i | ||||
\(913\) | 1314.44 | + | 9142.13i | 0.0476469 | + | 0.331391i | ||||
\(914\) | −54359.5 | − | 62734.3i | −1.96724 | − | 2.27031i | ||||
\(915\) | 3511.51 | + | 2256.71i | 0.126871 | + | 0.0815350i | ||||
\(916\) | 6590.73 | − | 7606.11i | 0.237734 | − | 0.274359i | ||||
\(917\) | 23964.1 | − | 7036.48i | 0.862991 | − | 0.253397i | ||||
\(918\) | −3567.41 | − | 7811.53i | −0.128259 | − | 0.280849i | ||||
\(919\) | 43808.1 | 1.57246 | 0.786232 | − | 0.617931i | \(-0.212029\pi\) | ||||
0.786232 | + | 0.617931i | \(0.212029\pi\) | |||||||
\(920\) | 24301.0 | − | 81386.4i | 0.870847 | − | 2.91656i | ||||
\(921\) | −6781.12 | −0.242612 | ||||||||
\(922\) | −26879.2 | − | 58857.3i | −0.960109 | − | 2.10234i | ||||
\(923\) | 43598.7 | − | 12801.7i | 1.55479 | − | 0.456526i | ||||
\(924\) | 22851.0 | − | 26371.4i | 0.813573 | − | 0.938914i | ||||
\(925\) | 467.751 | + | 300.606i | 0.0166266 | + | 0.0106852i | ||||
\(926\) | 66636.1 | + | 76902.2i | 2.36479 | + | 2.72912i | ||||
\(927\) | 1393.41 | + | 9691.41i | 0.0493697 | + | 0.343374i | ||||
\(928\) | 71630.9 | + | 21032.7i | 2.53383 | + | 0.744001i | ||||
\(929\) | 6160.13 | − | 3958.87i | 0.217553 | − | 0.139813i | −0.427325 | − | 0.904098i | \(-0.640544\pi\) |
0.644879 | + | 0.764285i | \(0.276908\pi\) | |||||||
\(930\) | −3386.18 | + | 23551.4i | −0.119395 | + | 0.830410i | ||||
\(931\) | 7423.61 | − | 16255.4i | 0.261331 | − | 0.572235i | ||||
\(932\) | 30357.7 | − | 66474.2i | 1.06695 | − | 2.33630i | ||||
\(933\) | 1657.24 | − | 11526.3i | 0.0581517 | − | 0.404454i | ||||
\(934\) | −49096.4 | + | 31552.4i | −1.72000 | + | 1.10538i | ||||
\(935\) | −25955.7 | − | 7621.27i | −0.907851 | − | 0.266569i | ||||
\(936\) | −6229.01 | − | 43323.7i | −0.217523 | − | 1.51291i | ||||
\(937\) | 31107.5 | + | 35899.9i | 1.08456 | + | 1.25165i | 0.965954 | + | 0.258712i | \(0.0832981\pi\) |
0.118609 | + | 0.992941i | \(0.462156\pi\) | |||||||
\(938\) | −28739.5 | − | 18469.8i | −1.00040 | − | 0.642921i | ||||
\(939\) | −1936.70 | + | 2235.08i | −0.0673077 | + | 0.0776773i | ||||
\(940\) | 119641. | − | 35129.9i | 4.15135 | − | 1.21895i | ||||
\(941\) | −6225.44 | − | 13631.8i | −0.215668 | − | 0.472247i | 0.770617 | − | 0.637299i | \(-0.219948\pi\) |
−0.986285 | + | 0.165051i | \(0.947221\pi\) | |||||||
\(942\) | 20347.3 | 0.703771 | ||||||||
\(943\) | 189.037 | − | 41445.7i | 0.00652797 | − | 1.43124i | ||||
\(944\) | −31376.6 | −1.08180 | ||||||||
\(945\) | −1648.25 | − | 3609.16i | −0.0567381 | − | 0.124239i | ||||
\(946\) | −21848.8 | + | 6415.39i | −0.750916 | + | 0.220489i | ||||
\(947\) | −23563.5 | + | 27193.7i | −0.808564 | + | 0.933132i | −0.998818 | − | 0.0486027i | \(-0.984523\pi\) |
0.190255 | + | 0.981735i | \(0.439069\pi\) | |||||||
\(948\) | −72938.7 | − | 46874.9i | −2.49888 | − | 1.60593i | ||||
\(949\) | −9825.65 | − | 11339.4i | −0.336095 | − | 0.387874i | ||||
\(950\) | −300.088 | − | 2087.16i | −0.0102486 | − | 0.0712804i | ||||
\(951\) | 11262.3 | + | 3306.90i | 0.384021 | + | 0.112759i | ||||
\(952\) | 46333.4 | − | 29776.7i | 1.57739 | − | 1.01373i | ||||
\(953\) | −4059.70 | + | 28235.8i | −0.137992 | + | 0.959757i | 0.796719 | + | 0.604350i | \(0.206567\pi\) |
−0.934711 | + | 0.355408i | \(0.884342\pi\) | |||||||
\(954\) | 10306.7 | − | 22568.6i | 0.349783 | − | 0.765918i | ||||
\(955\) | 17713.2 | − | 38786.4i | 0.600193 | − | 1.31424i | ||||
\(956\) | 10190.3 | − | 70875.1i | 0.344747 | − | 2.39777i | ||||
\(957\) | 13912.4 | − | 8940.97i | 0.469932 | − | 0.302007i | ||||
\(958\) | 38693.8 | + | 11361.5i | 1.30495 | + | 0.383167i | ||||
\(959\) | 652.820 | + | 4540.46i | 0.0219819 | + | 0.152888i | ||||
\(960\) | 29496.5 | + | 34040.8i | 0.991663 | + | 1.14444i | ||||
\(961\) | −10019.4 | − | 6439.11i | −0.336325 | − | 0.216143i | ||||
\(962\) | 37695.2 | − | 43502.6i | 1.26335 | − | 1.45798i | ||||
\(963\) | 4339.97 | − | 1274.33i | 0.145227 | − | 0.0426425i | ||||
\(964\) | 23413.8 | + | 51269.2i | 0.782271 | + | 1.71293i | ||||
\(965\) | −41405.7 | −1.38124 | ||||||||
\(966\) | 23504.4 | + | 3488.92i | 0.782859 | + | 0.116205i | ||||
\(967\) | −35477.6 | −1.17982 | −0.589909 | − | 0.807470i | \(-0.700836\pi\) | ||||
−0.589909 | + | 0.807470i | \(0.700836\pi\) | |||||||
\(968\) | 11504.4 | + | 25191.0i | 0.381988 | + | 0.836436i | ||||
\(969\) | −18408.3 | + | 5405.17i | −0.610279 | + | 0.179194i | ||||
\(970\) | −31393.4 | + | 36229.9i | −1.03916 | + | 1.19925i | ||||
\(971\) | 12797.6 | + | 8224.55i | 0.422962 | + | 0.271821i | 0.734760 | − | 0.678327i | \(-0.237295\pi\) |
−0.311798 | + | 0.950148i | \(0.600931\pi\) | |||||||
\(972\) | 3338.98 | + | 3853.39i | 0.110183 | + | 0.127158i | ||||
\(973\) | −5098.85 | − | 35463.3i | −0.167998 | − | 1.16845i | ||||
\(974\) | 5489.20 | + | 1611.77i | 0.180580 | + | 0.0530232i | ||||
\(975\) | 635.423 | − | 408.362i | 0.0208716 | − | 0.0134134i | ||||
\(976\) | 3745.69 | − | 26051.9i | 0.122845 | − | 0.854406i | ||||
\(977\) | 16661.0 | − | 36482.5i | 0.545581 | − | 1.19466i | −0.413234 | − | 0.910625i | \(-0.635601\pi\) |
0.958815 | − | 0.284031i | \(-0.0916718\pi\) | |||||||
\(978\) | −12239.0 | + | 26799.6i | −0.400162 | + | 0.876233i | ||||
\(979\) | −4462.96 | + | 31040.6i | −0.145696 | + | 1.01334i | ||||
\(980\) | −32105.7 | + | 20633.1i | −1.04651 | + | 0.672550i | ||||
\(981\) | 7126.65 | + | 2092.57i | 0.231943 | + | 0.0681047i | ||||
\(982\) | −9313.23 | − | 64774.9i | −0.302645 | − | 2.10494i | ||||
\(983\) | 26745.5 | + | 30866.0i | 0.867802 | + | 1.00150i | 0.999947 | + | 0.0102668i | \(0.00326810\pi\) |
−0.132145 | + | 0.991230i | \(0.542186\pi\) | |||||||
\(984\) | 66277.9 | + | 42594.2i | 2.14722 | + | 1.37993i | ||||
\(985\) | −22321.7 | + | 25760.6i | −0.722060 | + | 0.833302i | ||||
\(986\) | 40478.8 | − | 11885.7i | 1.30741 | − | 0.383891i | ||||
\(987\) | 8966.21 | + | 19633.3i | 0.289157 | + | 0.633164i | ||||
\(988\) | −158041. | −5.08902 | ||||||||
\(989\) | −8450.60 | − | 7390.24i | −0.271702 | − | 0.237610i | ||||
\(990\) | 22185.2 | 0.712213 | ||||||||
\(991\) | 13347.2 | + | 29226.4i | 0.427839 | + | 0.936838i | 0.993672 | + | 0.112318i | \(0.0358275\pi\) |
−0.565833 | + | 0.824520i | \(0.691445\pi\) | |||||||
\(992\) | 72213.0 | − | 21203.6i | 2.31125 | − | 0.678645i | ||||
\(993\) | −4360.13 | + | 5031.86i | −0.139340 | + | 0.160807i | ||||
\(994\) | −39448.4 | − | 25351.9i | −1.25878 | − | 0.808968i | ||||
\(995\) | 19309.0 | + | 22283.8i | 0.615212 | + | 0.709993i | ||||
\(996\) | −1990.88 | − | 13846.9i | −0.0633367 | − | 0.440517i | ||||
\(997\) | −7993.99 | − | 2347.25i | −0.253934 | − | 0.0745617i | 0.152288 | − | 0.988336i | \(-0.451336\pi\) |
−0.406222 | + | 0.913774i | \(0.633154\pi\) | |||||||
\(998\) | 32936.4 | − | 21166.9i | 1.04467 | − | 0.671370i | ||||
\(999\) | −590.453 | + | 4106.69i | −0.0186998 | + | 0.130060i |
(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 | 69.4.e.b.4.6 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.b.73.1 | 60 | |||
23.6 | even | 11 | inner | 69.4.e.b.52.6 | yes | 60 | |
23.11 | odd | 22 | 1587.4.a.v.1.29 | 30 | |||
23.12 | even | 11 | 1587.4.a.w.1.29 | 30 | |||
69.29 | odd | 22 | 207.4.i.b.190.1 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.b.4.6 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.b.52.6 | yes | 60 | 23.6 | even | 11 | inner | |
207.4.i.b.73.1 | 60 | 3.2 | odd | 2 | |||
207.4.i.b.190.1 | 60 | 69.29 | odd | 22 | |||
1587.4.a.v.1.29 | 30 | 23.11 | odd | 22 | |||
1587.4.a.w.1.29 | 30 | 23.12 | even | 11 |