Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,4,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.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: | \(8.14226358079\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Character | \(\chi\) | \(=\) | 138.49 |
Dual form | 138.4.e.c.31.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.284630 | + | 1.97964i | 0.100632 | + | 0.699909i | ||||
\(3\) | 1.24625 | − | 2.72890i | 0.239840 | − | 0.525176i | ||||
\(4\) | −3.83797 | + | 1.12693i | −0.479746 | + | 0.140866i | ||||
\(5\) | −7.03109 | + | 8.11432i | −0.628880 | + | 0.725766i | −0.977368 | − | 0.211547i | \(-0.932150\pi\) |
0.348488 | + | 0.937313i | \(0.386695\pi\) | |||||||
\(6\) | 5.75696 | + | 1.69040i | 0.391711 | + | 0.115017i | ||||
\(7\) | −5.50559 | + | 3.53823i | −0.297274 | + | 0.191046i | −0.680772 | − | 0.732495i | \(-0.738356\pi\) |
0.383498 | + | 0.923542i | \(0.374719\pi\) | |||||||
\(8\) | −3.32332 | − | 7.27706i | −0.146871 | − | 0.321603i | ||||
\(9\) | −5.89375 | − | 6.80175i | −0.218287 | − | 0.251917i | ||||
\(10\) | −18.0647 | − | 11.6095i | −0.571256 | − | 0.367124i | ||||
\(11\) | −0.141989 | + | 0.987554i | −0.00389193 | + | 0.0270690i | −0.991675 | − | 0.128767i | \(-0.958898\pi\) |
0.987783 | + | 0.155836i | \(0.0498071\pi\) | |||||||
\(12\) | −1.70778 | + | 11.8779i | −0.0410828 | + | 0.285737i | ||||
\(13\) | −47.0714 | − | 30.2509i | −1.00425 | − | 0.645392i | −0.0683514 | − | 0.997661i | \(-0.521774\pi\) |
−0.935899 | + | 0.352269i | \(0.885410\pi\) | |||||||
\(14\) | −8.57148 | − | 9.89202i | −0.163630 | − | 0.188840i | ||||
\(15\) | 13.3807 | + | 29.2996i | 0.230325 | + | 0.504341i | ||||
\(16\) | 13.4601 | − | 8.65025i | 0.210313 | − | 0.135160i | ||||
\(17\) | −63.0414 | − | 18.5106i | −0.899399 | − | 0.264087i | −0.200827 | − | 0.979627i | \(-0.564363\pi\) |
−0.698572 | + | 0.715539i | \(0.746181\pi\) | |||||||
\(18\) | 11.7875 | − | 13.6035i | 0.154352 | − | 0.178132i | ||||
\(19\) | −132.331 | + | 38.8558i | −1.59783 | + | 0.469165i | −0.954941 | − | 0.296796i | \(-0.904082\pi\) |
−0.642887 | + | 0.765961i | \(0.722264\pi\) | |||||||
\(20\) | 17.8409 | − | 39.0661i | 0.199467 | − | 0.436772i | ||||
\(21\) | 2.79414 | + | 19.4337i | 0.0290349 | + | 0.201942i | ||||
\(22\) | −1.99542 | −0.0193375 | ||||||||
\(23\) | −34.5210 | + | 104.763i | −0.312962 | + | 0.949766i | ||||
\(24\) | −24.0000 | −0.204124 | ||||||||
\(25\) | 1.38353 | + | 9.62264i | 0.0110682 | + | 0.0769811i | ||||
\(26\) | 46.4881 | − | 101.795i | 0.350657 | − | 0.767831i | ||||
\(27\) | −25.9063 | + | 7.60678i | −0.184655 | + | 0.0542195i | ||||
\(28\) | 17.1430 | − | 19.7840i | 0.115704 | − | 0.133530i | ||||
\(29\) | 164.965 | + | 48.4380i | 1.05632 | + | 0.310162i | 0.763366 | − | 0.645966i | \(-0.223545\pi\) |
0.292949 | + | 0.956128i | \(0.405363\pi\) | |||||||
\(30\) | −54.1941 | + | 34.8284i | −0.329815 | + | 0.211959i | ||||
\(31\) | −101.009 | − | 221.179i | −0.585218 | − | 1.28145i | −0.938289 | − | 0.345852i | \(-0.887590\pi\) |
0.353071 | − | 0.935596i | \(-0.385137\pi\) | |||||||
\(32\) | 20.9555 | + | 24.1840i | 0.115764 | + | 0.133599i | ||||
\(33\) | 2.51798 | + | 1.61821i | 0.0132825 | + | 0.00853618i | ||||
\(34\) | 18.7010 | − | 130.068i | 0.0943291 | − | 0.656074i | ||||
\(35\) | 10.0000 | − | 69.5517i | 0.0482947 | − | 0.335897i | ||||
\(36\) | 30.2851 | + | 19.4631i | 0.140209 | + | 0.0901068i | ||||
\(37\) | 84.3861 | + | 97.3868i | 0.374946 | + | 0.432710i | 0.911592 | − | 0.411097i | \(-0.134854\pi\) |
−0.536646 | + | 0.843808i | \(0.680309\pi\) | |||||||
\(38\) | −114.586 | − | 250.908i | −0.489165 | − | 1.07112i | ||||
\(39\) | −141.214 | + | 90.7528i | −0.579804 | + | 0.372617i | ||||
\(40\) | 82.4149 | + | 24.1992i | 0.325774 | + | 0.0956557i | ||||
\(41\) | 162.344 | − | 187.355i | 0.618386 | − | 0.713656i | −0.357013 | − | 0.934099i | \(-0.616205\pi\) |
0.975400 | + | 0.220443i | \(0.0707504\pi\) | |||||||
\(42\) | −37.6765 | + | 11.0628i | −0.138419 | + | 0.0406435i | ||||
\(43\) | −16.3365 | + | 35.7720i | −0.0579371 | + | 0.126865i | −0.936386 | − | 0.350971i | \(-0.885851\pi\) |
0.878449 | + | 0.477836i | \(0.158579\pi\) | |||||||
\(44\) | −0.567956 | − | 3.95022i | −0.00194597 | − | 0.0135345i | ||||
\(45\) | 96.6310 | 0.320109 | ||||||||
\(46\) | −217.219 | − | 38.5205i | −0.696244 | − | 0.123468i | ||||
\(47\) | 269.657 | 0.836883 | 0.418441 | − | 0.908244i | \(-0.362577\pi\) | ||||
0.418441 | + | 0.908244i | \(0.362577\pi\) | |||||||
\(48\) | −6.83111 | − | 47.5114i | −0.0205414 | − | 0.142868i | ||||
\(49\) | −124.695 | + | 273.044i | −0.363542 | + | 0.796046i | ||||
\(50\) | −18.6556 | + | 5.47778i | −0.0527660 | + | 0.0154935i | ||||
\(51\) | −129.079 | + | 148.965i | −0.354404 | + | 0.409004i | ||||
\(52\) | 214.749 | + | 63.0561i | 0.572700 | + | 0.168160i | ||||
\(53\) | 19.3901 | − | 12.4612i | 0.0502534 | − | 0.0322959i | −0.515273 | − | 0.857026i | \(-0.672309\pi\) |
0.565526 | + | 0.824730i | \(0.308673\pi\) | |||||||
\(54\) | −22.4324 | − | 49.1201i | −0.0565308 | − | 0.123785i | ||||
\(55\) | −7.01499 | − | 8.09573i | −0.0171982 | − | 0.0198478i | ||||
\(56\) | 44.0447 | + | 28.3058i | 0.105102 | + | 0.0675451i | ||||
\(57\) | −58.8830 | + | 409.540i | −0.136829 | + | 0.951666i | ||||
\(58\) | −48.9361 | + | 340.358i | −0.110787 | + | 0.770537i | ||||
\(59\) | 297.308 | + | 191.068i | 0.656037 | + | 0.421609i | 0.825868 | − | 0.563864i | \(-0.190686\pi\) |
−0.169831 | + | 0.985473i | \(0.554322\pi\) | |||||||
\(60\) | −84.3731 | − | 97.3718i | −0.181542 | − | 0.209511i | ||||
\(61\) | 103.394 | + | 226.401i | 0.217020 | + | 0.475207i | 0.986562 | − | 0.163389i | \(-0.0522426\pi\) |
−0.769542 | + | 0.638597i | \(0.779515\pi\) | |||||||
\(62\) | 409.105 | − | 262.916i | 0.838006 | − | 0.538554i | ||||
\(63\) | 56.5147 | + | 16.5942i | 0.113019 | + | 0.0331853i | ||||
\(64\) | −41.9111 | + | 48.3680i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 576.429 | − | 169.255i | 1.09996 | − | 0.322977i | ||||
\(66\) | −2.48678 | + | 5.44529i | −0.00463790 | + | 0.0101556i | ||||
\(67\) | 89.7344 | + | 624.116i | 0.163624 | + | 1.13803i | 0.891731 | + | 0.452566i | \(0.149491\pi\) |
−0.728107 | + | 0.685463i | \(0.759600\pi\) | |||||||
\(68\) | 262.811 | 0.468685 | ||||||||
\(69\) | 242.866 | + | 224.765i | 0.423734 | + | 0.392152i | ||||
\(70\) | 140.534 | 0.239957 | ||||||||
\(71\) | 45.5906 | + | 317.090i | 0.0762058 | + | 0.530023i | 0.991788 | + | 0.127892i | \(0.0408212\pi\) |
−0.915582 | + | 0.402131i | \(0.868270\pi\) | |||||||
\(72\) | −29.9099 | + | 65.4935i | −0.0489571 | + | 0.107201i | ||||
\(73\) | −526.642 | + | 154.636i | −0.844367 | + | 0.247929i | −0.675178 | − | 0.737655i | \(-0.735933\pi\) |
−0.169190 | + | 0.985584i | \(0.554115\pi\) | |||||||
\(74\) | −168.772 | + | 194.774i | −0.265127 | + | 0.305973i | ||||
\(75\) | 27.9834 | + | 8.21666i | 0.0430832 | + | 0.0126504i | ||||
\(76\) | 464.094 | − | 298.255i | 0.700463 | − | 0.450160i | ||||
\(77\) | −2.71246 | − | 5.93946i | −0.00401446 | − | 0.00879045i | ||||
\(78\) | −219.852 | − | 253.723i | −0.319145 | − | 0.368313i | ||||
\(79\) | −932.762 | − | 599.450i | −1.32840 | − | 0.853714i | −0.332411 | − | 0.943135i | \(-0.607862\pi\) |
−0.995994 | + | 0.0894210i | \(0.971498\pi\) | |||||||
\(80\) | −24.4480 | + | 170.040i | −0.0341672 | + | 0.237638i | ||||
\(81\) | −11.5275 | + | 80.1755i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 417.103 | + | 268.056i | 0.561724 | + | 0.360998i | ||||
\(83\) | −228.972 | − | 264.247i | −0.302806 | − | 0.349457i | 0.583871 | − | 0.811847i | \(-0.301538\pi\) |
−0.886677 | + | 0.462390i | \(0.846992\pi\) | |||||||
\(84\) | −32.6242 | − | 71.4371i | −0.0423762 | − | 0.0927908i | ||||
\(85\) | 593.451 | − | 381.388i | 0.757280 | − | 0.486674i | ||||
\(86\) | −75.4656 | − | 22.1587i | −0.0946240 | − | 0.0277841i | ||||
\(87\) | 337.768 | − | 389.806i | 0.416237 | − | 0.480363i | ||||
\(88\) | 7.65836 | − | 2.24870i | 0.00927709 | − | 0.00272400i | ||||
\(89\) | 226.210 | − | 495.331i | 0.269418 | − | 0.589944i | −0.725768 | − | 0.687939i | \(-0.758516\pi\) |
0.995187 | + | 0.0979950i | \(0.0312429\pi\) | |||||||
\(90\) | 27.5041 | + | 191.295i | 0.0322131 | + | 0.224047i | ||||
\(91\) | 366.191 | 0.421837 | ||||||||
\(92\) | 14.4299 | − | 440.980i | 0.0163524 | − | 0.499733i | ||||
\(93\) | −729.456 | −0.813345 | ||||||||
\(94\) | 76.7523 | + | 533.824i | 0.0842170 | + | 0.585742i | ||||
\(95\) | 615.141 | − | 1346.97i | 0.664338 | − | 1.45470i | ||||
\(96\) | 92.1113 | − | 27.0463i | 0.0979278 | − | 0.0287542i | ||||
\(97\) | −791.851 | + | 913.845i | −0.828869 | + | 0.956566i | −0.999587 | − | 0.0287541i | \(-0.990846\pi\) |
0.170717 | + | 0.985320i | \(0.445391\pi\) | |||||||
\(98\) | −576.021 | − | 169.135i | −0.593744 | − | 0.174339i | ||||
\(99\) | 7.55394 | − | 4.85462i | 0.00766868 | − | 0.00492836i | ||||
\(100\) | −16.1540 | − | 35.3723i | −0.0161540 | − | 0.0353723i | ||||
\(101\) | −596.077 | − | 687.909i | −0.587246 | − | 0.677718i | 0.381900 | − | 0.924203i | \(-0.375270\pi\) |
−0.969146 | + | 0.246485i | \(0.920724\pi\) | |||||||
\(102\) | −331.636 | − | 213.130i | −0.321930 | − | 0.206892i | ||||
\(103\) | 101.873 | − | 708.545i | 0.0974551 | − | 0.677815i | −0.881266 | − | 0.472621i | \(-0.843308\pi\) |
0.978721 | − | 0.205195i | \(-0.0657828\pi\) | |||||||
\(104\) | −63.7045 | + | 443.075i | −0.0600648 | + | 0.417760i | ||||
\(105\) | −177.337 | − | 113.968i | −0.164822 | − | 0.105925i | ||||
\(106\) | 30.1878 | + | 34.8386i | 0.0276613 | + | 0.0319229i | ||||
\(107\) | −352.773 | − | 772.466i | −0.318728 | − | 0.697917i | 0.680671 | − | 0.732589i | \(-0.261688\pi\) |
−0.999399 | + | 0.0346727i | \(0.988961\pi\) | |||||||
\(108\) | 90.8554 | − | 58.3892i | 0.0809497 | − | 0.0520232i | ||||
\(109\) | −77.2196 | − | 22.6737i | −0.0678559 | − | 0.0199243i | 0.247628 | − | 0.968855i | \(-0.420349\pi\) |
−0.315484 | + | 0.948931i | \(0.602167\pi\) | |||||||
\(110\) | 14.0300 | − | 16.1915i | 0.0121610 | − | 0.0140345i | ||||
\(111\) | 370.924 | − | 108.913i | 0.317176 | − | 0.0931314i | ||||
\(112\) | −43.4990 | + | 95.2495i | −0.0366988 | + | 0.0803592i | ||||
\(113\) | 302.258 | + | 2102.25i | 0.251629 | + | 1.75012i | 0.588435 | + | 0.808544i | \(0.299744\pi\) |
−0.336806 | + | 0.941574i | \(0.609347\pi\) | |||||||
\(114\) | −827.504 | −0.679849 | ||||||||
\(115\) | −607.360 | − | 1016.71i | −0.492493 | − | 0.824426i | ||||
\(116\) | −687.716 | −0.550455 | ||||||||
\(117\) | 71.6676 | + | 498.459i | 0.0566297 | + | 0.393868i | ||||
\(118\) | −293.624 | + | 642.947i | −0.229070 | + | 0.501594i | ||||
\(119\) | 412.575 | − | 121.143i | 0.317821 | − | 0.0933206i | ||||
\(120\) | 168.746 | − | 194.744i | 0.128370 | − | 0.148146i | ||||
\(121\) | 1276.13 | + | 374.706i | 0.958775 | + | 0.281522i | ||||
\(122\) | −418.764 | + | 269.123i | −0.310763 | + | 0.199715i | ||||
\(123\) | −308.951 | − | 676.509i | −0.226481 | − | 0.495925i | ||||
\(124\) | 636.923 | + | 735.048i | 0.461269 | + | 0.532333i | ||||
\(125\) | −1216.85 | − | 782.024i | −0.870709 | − | 0.559571i | ||||
\(126\) | −16.7649 | + | 116.602i | −0.0118534 | + | 0.0824424i | ||||
\(127\) | 306.731 | − | 2133.36i | 0.214315 | − | 1.49059i | −0.544210 | − | 0.838949i | \(-0.683170\pi\) |
0.758525 | − | 0.651644i | \(-0.225921\pi\) | |||||||
\(128\) | −107.680 | − | 69.2020i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | 77.2587 | + | 89.1613i | 0.0527306 | + | 0.0608544i | ||||
\(130\) | 499.133 | + | 1092.95i | 0.336745 | + | 0.737369i | ||||
\(131\) | −679.991 | + | 437.004i | −0.453520 | + | 0.291460i | −0.747390 | − | 0.664386i | \(-0.768693\pi\) |
0.293870 | + | 0.955845i | \(0.405057\pi\) | |||||||
\(132\) | −11.4875 | − | 3.37305i | −0.00757472 | − | 0.00222414i | ||||
\(133\) | 591.078 | − | 682.140i | 0.385361 | − | 0.444730i | ||||
\(134\) | −1209.99 | + | 355.284i | −0.780051 | + | 0.229044i | ||||
\(135\) | 120.426 | − | 263.696i | 0.0767749 | − | 0.168114i | ||||
\(136\) | 74.8039 | + | 520.273i | 0.0471646 | + | 0.328037i | ||||
\(137\) | −1029.17 | −0.641807 | −0.320904 | − | 0.947112i | \(-0.603987\pi\) | ||||
−0.320904 | + | 0.947112i | \(0.603987\pi\) | |||||||
\(138\) | −375.827 | + | 544.762i | −0.231830 | + | 0.336038i | ||||
\(139\) | −1676.99 | −1.02331 | −0.511655 | − | 0.859191i | \(-0.670968\pi\) | ||||
−0.511655 | + | 0.859191i | \(0.670968\pi\) | |||||||
\(140\) | 40.0001 | + | 278.207i | 0.0241473 | + | 0.167948i | ||||
\(141\) | 336.058 | − | 735.865i | 0.200718 | − | 0.439511i | ||||
\(142\) | −614.748 | + | 180.506i | −0.363299 | + | 0.106674i | ||||
\(143\) | 36.5581 | − | 42.1903i | 0.0213786 | − | 0.0246722i | ||||
\(144\) | −138.167 | − | 40.5695i | −0.0799577 | − | 0.0234777i | ||||
\(145\) | −1552.92 | + | 998.003i | −0.889401 | + | 0.571584i | ||||
\(146\) | −456.022 | − | 998.550i | −0.258498 | − | 0.566031i | ||||
\(147\) | 589.707 | + | 680.559i | 0.330872 | + | 0.381847i | ||||
\(148\) | −433.620 | − | 278.670i | −0.240833 | − | 0.154774i | ||||
\(149\) | −420.111 | + | 2921.93i | −0.230985 | + | 1.60654i | 0.462871 | + | 0.886425i | \(0.346819\pi\) |
−0.693857 | + | 0.720113i | \(0.744090\pi\) | |||||||
\(150\) | −8.30116 | + | 57.7358i | −0.00451858 | + | 0.0314274i | ||||
\(151\) | −1214.95 | − | 780.804i | −0.654779 | − | 0.420801i | 0.170631 | − | 0.985335i | \(-0.445419\pi\) |
−0.825410 | + | 0.564534i | \(0.809056\pi\) | |||||||
\(152\) | 722.533 | + | 833.847i | 0.385560 | + | 0.444960i | ||||
\(153\) | 245.645 | + | 537.889i | 0.129799 | + | 0.284220i | ||||
\(154\) | 10.9860 | − | 7.06025i | 0.00574853 | − | 0.00369436i | ||||
\(155\) | 2504.92 | + | 735.510i | 1.29806 | + | 0.381146i | ||||
\(156\) | 439.704 | − | 507.445i | 0.225670 | − | 0.260437i | ||||
\(157\) | 434.396 | − | 127.550i | 0.220819 | − | 0.0648383i | −0.169452 | − | 0.985539i | \(-0.554200\pi\) |
0.390271 | + | 0.920700i | \(0.372381\pi\) | |||||||
\(158\) | 921.205 | − | 2017.16i | 0.463843 | − | 1.01567i | ||||
\(159\) | −9.84066 | − | 68.4433i | −0.00490827 | − | 0.0341378i | ||||
\(160\) | −343.577 | −0.169763 | ||||||||
\(161\) | −180.617 | − | 698.926i | −0.0884139 | − | 0.342131i | ||||
\(162\) | −162.000 | −0.0785674 | ||||||||
\(163\) | −350.158 | − | 2435.41i | −0.168261 | − | 1.17028i | −0.882477 | − | 0.470355i | \(-0.844126\pi\) |
0.714216 | − | 0.699925i | \(-0.246783\pi\) | |||||||
\(164\) | −411.935 | + | 902.012i | −0.196139 | + | 0.429484i | ||||
\(165\) | −30.8348 | + | 9.05392i | −0.0145484 | + | 0.00427180i | ||||
\(166\) | 457.943 | − | 528.495i | 0.214116 | − | 0.247103i | ||||
\(167\) | 1535.56 | + | 450.883i | 0.711530 | + | 0.208924i | 0.617416 | − | 0.786637i | \(-0.288180\pi\) |
0.0941148 | + | 0.995561i | \(0.469998\pi\) | |||||||
\(168\) | 132.134 | − | 84.9175i | 0.0606808 | − | 0.0389972i | ||||
\(169\) | 387.929 | + | 849.446i | 0.176572 | + | 0.386639i | ||||
\(170\) | 923.926 | + | 1066.27i | 0.416834 | + | 0.481053i | ||||
\(171\) | 1044.21 | + | 671.073i | 0.466975 | + | 0.300107i | ||||
\(172\) | 22.3866 | − | 155.702i | 0.00992418 | − | 0.0690242i | ||||
\(173\) | −104.496 | + | 726.786i | −0.0459230 | + | 0.319402i | 0.953892 | + | 0.300151i | \(0.0970371\pi\) |
−0.999815 | + | 0.0192505i | \(0.993872\pi\) | |||||||
\(174\) | 867.815 | + | 557.711i | 0.378097 | + | 0.242988i | ||||
\(175\) | −41.6642 | − | 48.0831i | −0.0179973 | − | 0.0207699i | ||||
\(176\) | 6.63142 | + | 14.5208i | 0.00284012 | + | 0.00621900i | ||||
\(177\) | 891.923 | − | 573.204i | 0.378763 | − | 0.243416i | ||||
\(178\) | 1044.97 | + | 306.830i | 0.440019 | + | 0.129201i | ||||
\(179\) | −1560.18 | + | 1800.55i | −0.651472 | + | 0.751839i | −0.981359 | − | 0.192181i | \(-0.938444\pi\) |
0.329887 | + | 0.944020i | \(0.392989\pi\) | |||||||
\(180\) | −370.867 | + | 108.896i | −0.153571 | + | 0.0450925i | ||||
\(181\) | 712.590 | − | 1560.35i | 0.292632 | − | 0.640774i | −0.705026 | − | 0.709182i | \(-0.749065\pi\) |
0.997657 | + | 0.0684075i | \(0.0217918\pi\) | |||||||
\(182\) | 104.229 | + | 724.927i | 0.0424503 | + | 0.295248i | ||||
\(183\) | 746.678 | 0.301618 | ||||||||
\(184\) | 877.091 | − | 96.9501i | 0.351413 | − | 0.0388438i | ||||
\(185\) | −1383.55 | −0.549843 | ||||||||
\(186\) | −207.625 | − | 1444.06i | −0.0818483 | − | 0.569268i | ||||
\(187\) | 27.2314 | − | 59.6285i | 0.0106490 | − | 0.0233180i | ||||
\(188\) | −1034.94 | + | 303.884i | −0.401492 | + | 0.117889i | ||||
\(189\) | 115.715 | − | 133.542i | 0.0445346 | − | 0.0513956i | ||||
\(190\) | 2841.61 | + | 834.372i | 1.08501 | + | 0.318588i | ||||
\(191\) | 407.430 | − | 261.840i | 0.154349 | − | 0.0991940i | −0.461187 | − | 0.887303i | \(-0.652576\pi\) |
0.615535 | + | 0.788109i | \(0.288940\pi\) | |||||||
\(192\) | 79.7597 | + | 174.649i | 0.0299800 | + | 0.0656470i | ||||
\(193\) | −1548.49 | − | 1787.05i | −0.577528 | − | 0.666502i | 0.389544 | − | 0.921008i | \(-0.372633\pi\) |
−0.967071 | + | 0.254506i | \(0.918087\pi\) | |||||||
\(194\) | −2034.47 | − | 1307.48i | −0.752920 | − | 0.483872i | ||||
\(195\) | 256.493 | − | 1783.95i | 0.0941941 | − | 0.655134i | ||||
\(196\) | 170.874 | − | 1188.46i | 0.0622720 | − | 0.433111i | ||||
\(197\) | 2942.42 | + | 1890.98i | 1.06416 | + | 0.683891i | 0.950845 | − | 0.309668i | \(-0.100218\pi\) |
0.113311 | + | 0.993560i | \(0.463854\pi\) | |||||||
\(198\) | 11.7605 | + | 13.5723i | 0.00422112 | + | 0.00487143i | ||||
\(199\) | −837.640 | − | 1834.18i | −0.298385 | − | 0.653373i | 0.699752 | − | 0.714386i | \(-0.253294\pi\) |
−0.998137 | + | 0.0610134i | \(0.980567\pi\) | |||||||
\(200\) | 65.4266 | − | 42.0471i | 0.0231318 | − | 0.0148659i | ||||
\(201\) | 1814.98 | + | 532.926i | 0.636909 | + | 0.187013i | ||||
\(202\) | 1192.15 | − | 1375.82i | 0.415246 | − | 0.479219i | ||||
\(203\) | −1079.61 | + | 317.003i | −0.373271 | + | 0.109602i | ||||
\(204\) | 327.527 | − | 717.185i | 0.112409 | − | 0.246142i | ||||
\(205\) | 378.801 | + | 2634.62i | 0.129057 | + | 0.897608i | ||||
\(206\) | 1431.66 | 0.484216 | ||||||||
\(207\) | 916.030 | − | 382.644i | 0.307577 | − | 0.128481i | ||||
\(208\) | −895.262 | −0.298439 | ||||||||
\(209\) | −19.5827 | − | 136.201i | −0.00648117 | − | 0.0450775i | ||||
\(210\) | 175.140 | − | 383.502i | 0.0575514 | − | 0.126020i | ||||
\(211\) | 3452.90 | − | 1013.86i | 1.12658 | − | 0.330793i | 0.335216 | − | 0.942141i | \(-0.391191\pi\) |
0.791361 | + | 0.611349i | \(0.209373\pi\) | |||||||
\(212\) | −60.3756 | + | 69.6772i | −0.0195595 | + | 0.0225729i | ||||
\(213\) | 922.122 | + | 270.759i | 0.296633 | + | 0.0870992i | ||||
\(214\) | 1428.80 | − | 918.232i | 0.456404 | − | 0.293313i | ||||
\(215\) | −175.402 | − | 384.076i | −0.0556385 | − | 0.121831i | ||||
\(216\) | 141.450 | + | 163.242i | 0.0445576 | + | 0.0514222i | ||||
\(217\) | 1338.70 | + | 860.327i | 0.418786 | + | 0.269137i | ||||
\(218\) | 22.9069 | − | 159.321i | 0.00711674 | − | 0.0494980i | ||||
\(219\) | −234.339 | + | 1629.87i | −0.0723068 | + | 0.502905i | ||||
\(220\) | 36.0467 | + | 23.1658i | 0.0110467 | + | 0.00709926i | ||||
\(221\) | 2407.48 | + | 2778.38i | 0.732782 | + | 0.845675i | ||||
\(222\) | 321.185 | + | 703.298i | 0.0971015 | + | 0.212623i | ||||
\(223\) | −1483.96 | + | 953.682i | −0.445620 | + | 0.286382i | −0.744143 | − | 0.668020i | \(-0.767142\pi\) |
0.298524 | + | 0.954402i | \(0.403506\pi\) | |||||||
\(224\) | −200.941 | − | 59.0016i | −0.0599373 | − | 0.0175992i | ||||
\(225\) | 57.2966 | − | 66.1238i | 0.0169768 | − | 0.0195922i | ||||
\(226\) | −4075.68 | + | 1196.73i | −1.19960 | + | 0.352235i | ||||
\(227\) | −697.486 | + | 1527.28i | −0.203937 | + | 0.446560i | −0.983772 | − | 0.179426i | \(-0.942576\pi\) |
0.779834 | + | 0.625986i | \(0.215303\pi\) | |||||||
\(228\) | −235.532 | − | 1638.16i | −0.0684144 | − | 0.475833i | ||||
\(229\) | 5520.77 | 1.59311 | 0.796556 | − | 0.604564i | \(-0.206653\pi\) | ||||
0.796556 | + | 0.604564i | \(0.206653\pi\) | |||||||
\(230\) | 1839.86 | − | 1491.74i | 0.527463 | − | 0.427664i | ||||
\(231\) | −19.5886 | −0.00557936 | ||||||||
\(232\) | −195.744 | − | 1361.43i | −0.0553933 | − | 0.385269i | ||||
\(233\) | −1839.10 | + | 4027.07i | −0.517096 | + | 1.13228i | 0.453431 | + | 0.891292i | \(0.350200\pi\) |
−0.970527 | + | 0.240992i | \(0.922527\pi\) | |||||||
\(234\) | −966.372 | + | 283.752i | −0.269973 | + | 0.0792713i | ||||
\(235\) | −1895.98 | + | 2188.08i | −0.526299 | + | 0.607381i | ||||
\(236\) | −1356.38 | − | 398.269i | −0.374122 | − | 0.109852i | ||||
\(237\) | −2798.29 | + | 1798.35i | −0.766955 | + | 0.492892i | ||||
\(238\) | 357.251 | + | 782.270i | 0.0972989 | + | 0.213055i | ||||
\(239\) | −3521.78 | − | 4064.35i | −0.953158 | − | 1.10000i | −0.994899 | − | 0.100874i | \(-0.967836\pi\) |
0.0417414 | − | 0.999128i | \(-0.486709\pi\) | |||||||
\(240\) | 433.553 | + | 278.628i | 0.116607 | + | 0.0749389i | ||||
\(241\) | −361.323 | + | 2513.06i | −0.0965762 | + | 0.671702i | 0.882814 | + | 0.469723i | \(0.155646\pi\) |
−0.979390 | + | 0.201979i | \(0.935263\pi\) | |||||||
\(242\) | −378.559 | + | 2632.93i | −0.100557 | + | 0.699386i | ||||
\(243\) | 204.425 | + | 131.376i | 0.0539664 | + | 0.0346821i | ||||
\(244\) | −651.960 | − | 752.402i | −0.171055 | − | 0.197408i | ||||
\(245\) | −1338.82 | − | 2931.61i | −0.349119 | − | 0.764464i | ||||
\(246\) | 1251.31 | − | 804.168i | 0.324311 | − | 0.208422i | ||||
\(247\) | 7404.41 | + | 2174.13i | 1.90741 | + | 0.560067i | ||||
\(248\) | −1273.85 | + | 1470.10i | −0.326166 | + | 0.376416i | ||||
\(249\) | −1006.46 | + | 295.523i | −0.256152 | + | 0.0752129i | ||||
\(250\) | 1201.78 | − | 2631.52i | 0.304028 | − | 0.665728i | ||||
\(251\) | 407.889 | + | 2836.93i | 0.102573 | + | 0.713409i | 0.974600 | + | 0.223952i | \(0.0718959\pi\) |
−0.872027 | + | 0.489457i | \(0.837195\pi\) | |||||||
\(252\) | −235.602 | −0.0588950 | ||||||||
\(253\) | −98.5576 | − | 48.9665i | −0.0244912 | − | 0.0121680i | ||||
\(254\) | 4310.60 | 1.06485 | ||||||||
\(255\) | −301.182 | − | 2094.77i | −0.0739638 | − | 0.514430i | ||||
\(256\) | 106.346 | − | 232.866i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −4169.86 | + | 1224.38i | −1.01210 | + | 0.297178i | −0.745411 | − | 0.666605i | \(-0.767747\pi\) |
−0.266686 | + | 0.963784i | \(0.585929\pi\) | |||||||
\(258\) | −154.517 | + | 178.323i | −0.0372862 | + | 0.0430305i | ||||
\(259\) | −809.172 | − | 237.594i | −0.194129 | − | 0.0570015i | ||||
\(260\) | −2021.58 | + | 1299.19i | −0.482204 | + | 0.309894i | ||||
\(261\) | −642.797 | − | 1407.53i | −0.152445 | − | 0.333808i | ||||
\(262\) | −1058.66 | − | 1221.76i | −0.249634 | − | 0.288093i | ||||
\(263\) | −5725.95 | − | 3679.84i | −1.34250 | − | 0.862772i | −0.345368 | − | 0.938467i | \(-0.612246\pi\) |
−0.997131 | + | 0.0756959i | \(0.975882\pi\) | |||||||
\(264\) | 3.40773 | − | 23.7013i | 0.000794437 | − | 0.00552543i | ||||
\(265\) | −35.2190 | + | 244.953i | −0.00816409 | + | 0.0567825i | ||||
\(266\) | 1518.63 | + | 975.966i | 0.350050 | + | 0.224964i | ||||
\(267\) | −1069.79 | − | 1234.61i | −0.245207 | − | 0.282984i | ||||
\(268\) | −1047.73 | − | 2294.22i | −0.238808 | − | 0.522916i | ||||
\(269\) | −2259.57 | + | 1452.14i | −0.512149 | + | 0.329138i | −0.771060 | − | 0.636763i | \(-0.780273\pi\) |
0.258910 | + | 0.965901i | \(0.416637\pi\) | |||||||
\(270\) | 556.301 | + | 163.345i | 0.125390 | + | 0.0368179i | ||||
\(271\) | −1913.02 | + | 2207.74i | −0.428810 | + | 0.494873i | −0.928501 | − | 0.371331i | \(-0.878902\pi\) |
0.499691 | + | 0.866204i | \(0.333447\pi\) | |||||||
\(272\) | −1008.66 | + | 296.170i | −0.224850 | + | 0.0660219i | ||||
\(273\) | 456.363 | − | 999.296i | 0.101173 | − | 0.221539i | ||||
\(274\) | −292.931 | − | 2037.38i | −0.0645862 | − | 0.449207i | ||||
\(275\) | −9.69932 | −0.00212688 | ||||||||
\(276\) | −1185.41 | − | 588.947i | −0.258526 | − | 0.128444i | ||||
\(277\) | −7673.58 | −1.66448 | −0.832240 | − | 0.554416i | \(-0.812942\pi\) | ||||
−0.832240 | + | 0.554416i | \(0.812942\pi\) | |||||||
\(278\) | −477.320 | − | 3319.84i | −0.102978 | − | 0.716225i | ||||
\(279\) | −909.081 | + | 1990.61i | −0.195073 | + | 0.427149i | ||||
\(280\) | −539.365 | + | 158.372i | −0.115119 | + | 0.0338019i | ||||
\(281\) | 4586.00 | − | 5292.53i | 0.973586 | − | 1.12358i | −0.0187266 | − | 0.999825i | \(-0.505961\pi\) |
0.992313 | − | 0.123754i | \(-0.0394933\pi\) | |||||||
\(282\) | 1552.40 | + | 455.827i | 0.327816 | + | 0.0962556i | ||||
\(283\) | −1896.69 | + | 1218.93i | −0.398397 | + | 0.256035i | −0.724464 | − | 0.689312i | \(-0.757913\pi\) |
0.326067 | + | 0.945347i | \(0.394276\pi\) | |||||||
\(284\) | −532.314 | − | 1165.60i | −0.111222 | − | 0.243542i | ||||
\(285\) | −2909.13 | − | 3357.31i | −0.604638 | − | 0.697790i | ||||
\(286\) | 93.9271 | + | 60.3633i | 0.0194197 | + | 0.0124803i | ||||
\(287\) | −230.895 | + | 1605.91i | −0.0474888 | + | 0.330292i | ||||
\(288\) | 40.9867 | − | 285.069i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | −501.504 | − | 322.297i | −0.102077 | − | 0.0656009i | ||||
\(290\) | −2417.70 | − | 2790.17i | −0.489559 | − | 0.564981i | ||||
\(291\) | 1506.95 | + | 3299.75i | 0.303570 | + | 0.664725i | ||||
\(292\) | 1846.97 | − | 1186.98i | 0.370158 | − | 0.237886i | ||||
\(293\) | 5210.45 | + | 1529.93i | 1.03890 | + | 0.305048i | 0.756324 | − | 0.654197i | \(-0.226993\pi\) |
0.282575 | + | 0.959245i | \(0.408811\pi\) | |||||||
\(294\) | −1179.41 | + | 1361.12i | −0.233962 | + | 0.270007i | ||||
\(295\) | −3640.79 | + | 1069.03i | −0.718558 | + | 0.210988i | ||||
\(296\) | 428.247 | − | 937.730i | 0.0840924 | − | 0.184137i | ||||
\(297\) | −3.83370 | − | 26.6640i | −0.000749003 | − | 0.00520943i | ||||
\(298\) | −5903.96 | −1.14768 | ||||||||
\(299\) | 4794.13 | − | 3887.05i | 0.927264 | − | 0.751819i | ||||
\(300\) | −116.659 | −0.0224510 | ||||||||
\(301\) | −36.6273 | − | 254.748i | −0.00701382 | − | 0.0487822i | ||||
\(302\) | 1199.90 | − | 2627.42i | 0.228631 | − | 0.500632i | ||||
\(303\) | −2620.09 | + | 769.328i | −0.496767 | + | 0.145864i | ||||
\(304\) | −1445.07 | + | 1667.69i | −0.272632 | + | 0.314634i | ||||
\(305\) | −2564.06 | − | 752.876i | −0.481369 | − | 0.141343i | ||||
\(306\) | −994.909 | + | 639.389i | −0.185867 | + | 0.119449i | ||||
\(307\) | 1454.55 | + | 3185.02i | 0.270409 | + | 0.592113i | 0.995310 | − | 0.0967404i | \(-0.0308417\pi\) |
−0.724901 | + | 0.688853i | \(0.758114\pi\) | |||||||
\(308\) | 17.1037 | + | 19.7387i | 0.00316420 | + | 0.00365168i | ||||
\(309\) | −1806.59 | − | 1161.02i | −0.332599 | − | 0.213748i | ||||
\(310\) | −743.074 | + | 5168.19i | −0.136141 | + | 0.946883i | ||||
\(311\) | 1142.43 | − | 7945.76i | 0.208300 | − | 1.44876i | −0.570405 | − | 0.821364i | \(-0.693214\pi\) |
0.778704 | − | 0.627391i | \(-0.215877\pi\) | |||||||
\(312\) | 1129.71 | + | 726.023i | 0.204992 | + | 0.131740i | ||||
\(313\) | 2428.70 | + | 2802.87i | 0.438588 | + | 0.506158i | 0.931410 | − | 0.363973i | \(-0.118580\pi\) |
−0.492821 | + | 0.870131i | \(0.664034\pi\) | |||||||
\(314\) | 376.146 | + | 823.644i | 0.0676023 | + | 0.148028i | ||||
\(315\) | −532.011 | + | 341.903i | −0.0951601 | + | 0.0611557i | ||||
\(316\) | 4255.45 | + | 1249.51i | 0.757557 | + | 0.222439i | ||||
\(317\) | −1289.73 | + | 1488.43i | −0.228513 | + | 0.263718i | −0.858414 | − | 0.512958i | \(-0.828550\pi\) |
0.629901 | + | 0.776675i | \(0.283095\pi\) | |||||||
\(318\) | 132.692 | − | 38.9620i | 0.0233994 | − | 0.00687069i | ||||
\(319\) | −71.2583 | + | 156.034i | −0.0125069 | + | 0.0273863i | ||||
\(320\) | −97.7922 | − | 680.160i | −0.0170836 | − | 0.118819i | ||||
\(321\) | −2547.62 | −0.442973 | ||||||||
\(322\) | 1332.21 | − | 556.493i | 0.230563 | − | 0.0963110i | ||||
\(323\) | 9061.55 | 1.56099 | ||||||||
\(324\) | −46.1100 | − | 320.702i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | 225.969 | − | 494.804i | 0.0385678 | − | 0.0844516i | ||||
\(326\) | 4721.57 | − | 1386.38i | 0.802158 | − | 0.235535i | ||||
\(327\) | −158.109 | + | 182.467i | −0.0267383 | + | 0.0308577i | ||||
\(328\) | −1902.91 | − | 558.745i | −0.320338 | − | 0.0940596i | ||||
\(329\) | −1484.62 | + | 954.107i | −0.248783 | + | 0.159883i | ||||
\(330\) | −26.7000 | − | 58.4649i | −0.00445390 | − | 0.00975269i | ||||
\(331\) | −5766.86 | − | 6655.31i | −0.957629 | − | 1.10516i | −0.994383 | − | 0.105839i | \(-0.966247\pi\) |
0.0367541 | − | 0.999324i | \(-0.488298\pi\) | |||||||
\(332\) | 1176.58 | + | 756.139i | 0.194497 | + | 0.124996i | ||||
\(333\) | 165.050 | − | 1147.95i | 0.0271612 | − | 0.188910i | ||||
\(334\) | −455.519 | + | 3168.20i | −0.0746254 | + | 0.519031i | ||||
\(335\) | −5695.21 | − | 3660.09i | −0.928843 | − | 0.596931i | ||||
\(336\) | 205.716 | + | 237.408i | 0.0334009 | + | 0.0385467i | ||||
\(337\) | 4726.84 | + | 10350.3i | 0.764057 | + | 1.67305i | 0.739317 | + | 0.673357i | \(0.235148\pi\) |
0.0247394 | + | 0.999694i | \(0.492124\pi\) | |||||||
\(338\) | −1571.18 | + | 1009.74i | −0.252844 | + | 0.162493i | ||||
\(339\) | 6113.52 | + | 1795.09i | 0.979471 | + | 0.287599i | ||||
\(340\) | −1847.85 | + | 2132.53i | −0.294746 | + | 0.340156i | ||||
\(341\) | 232.768 | − | 68.3469i | 0.0369651 | − | 0.0108539i | ||||
\(342\) | −1031.27 | + | 2258.17i | −0.163055 | + | 0.357041i | ||||
\(343\) | −599.036 | − | 4166.38i | −0.0943000 | − | 0.655871i | ||||
\(344\) | 314.606 | 0.0493094 | ||||||||
\(345\) | −3531.42 | + | 390.349i | −0.551088 | + | 0.0609151i | ||||
\(346\) | −1468.52 | −0.228174 | ||||||||
\(347\) | −186.049 | − | 1294.00i | −0.0287828 | − | 0.200189i | 0.970356 | − | 0.241680i | \(-0.0776984\pi\) |
−0.999139 | + | 0.0414908i | \(0.986789\pi\) | |||||||
\(348\) | −857.062 | + | 1876.70i | −0.132021 | + | 0.289086i | ||||
\(349\) | 7746.65 | − | 2274.62i | 1.18816 | − | 0.348876i | 0.372847 | − | 0.927893i | \(-0.378382\pi\) |
0.815315 | + | 0.579017i | \(0.196564\pi\) | |||||||
\(350\) | 83.3284 | − | 96.1662i | 0.0127260 | − | 0.0146866i | ||||
\(351\) | 1449.56 | + | 425.629i | 0.220432 | + | 0.0647247i | ||||
\(352\) | −26.8585 | + | 17.2609i | −0.00406693 | + | 0.00261366i | ||||
\(353\) | −1948.91 | − | 4267.53i | −0.293853 | − | 0.643449i | 0.703910 | − | 0.710289i | \(-0.251436\pi\) |
−0.997764 | + | 0.0668397i | \(0.978708\pi\) | |||||||
\(354\) | 1388.61 | + | 1602.54i | 0.208485 | + | 0.240604i | ||||
\(355\) | −2893.52 | − | 1859.55i | −0.432597 | − | 0.278013i | ||||
\(356\) | −309.985 | + | 2155.99i | −0.0461493 | + | 0.320976i | ||||
\(357\) | 183.583 | − | 1276.85i | 0.0272164 | − | 0.189294i | ||||
\(358\) | −4008.51 | − | 2576.12i | −0.591778 | − | 0.380313i | ||||
\(359\) | 5759.45 | + | 6646.76i | 0.846720 | + | 0.977167i | 0.999939 | − | 0.0110256i | \(-0.00350962\pi\) |
−0.153220 | + | 0.988192i | \(0.548964\pi\) | |||||||
\(360\) | −321.136 | − | 703.189i | −0.0470148 | − | 0.102948i | ||||
\(361\) | 10231.5 | − | 6575.37i | 1.49169 | − | 0.958648i | ||||
\(362\) | 3291.77 | + | 966.550i | 0.477932 | + | 0.140334i | ||||
\(363\) | 2612.90 | − | 3015.45i | 0.377801 | − | 0.436006i | ||||
\(364\) | −1405.43 | + | 412.671i | −0.202375 | + | 0.0594227i | ||||
\(365\) | 2448.11 | − | 5360.60i | 0.351068 | − | 0.768731i | ||||
\(366\) | 212.527 | + | 1478.16i | 0.0303523 | + | 0.211105i | ||||
\(367\) | −7116.34 | −1.01218 | −0.506090 | − | 0.862481i | \(-0.668910\pi\) | ||||
−0.506090 | + | 0.862481i | \(0.668910\pi\) | |||||||
\(368\) | 441.573 | + | 1708.73i | 0.0625505 | + | 0.242048i | ||||
\(369\) | −2231.15 | −0.314767 | ||||||||
\(370\) | −393.801 | − | 2738.94i | −0.0553317 | − | 0.384840i | ||||
\(371\) | −62.6631 | + | 137.213i | −0.00876902 | + | 0.0192015i | ||||
\(372\) | 2799.63 | − | 822.046i | 0.390199 | − | 0.114573i | ||||
\(373\) | −1497.38 | + | 1728.07i | −0.207859 | + | 0.239882i | −0.850101 | − | 0.526620i | \(-0.823459\pi\) |
0.642242 | + | 0.766502i | \(0.278004\pi\) | |||||||
\(374\) | 125.794 | + | 36.9365i | 0.0173921 | + | 0.00510679i | ||||
\(375\) | −3650.56 | + | 2346.07i | −0.502704 | + | 0.323068i | ||||
\(376\) | −896.156 | − | 1962.31i | −0.122914 | − | 0.269144i | ||||
\(377\) | −6299.82 | − | 7270.38i | −0.860629 | − | 0.993219i | ||||
\(378\) | 297.302 | + | 191.064i | 0.0404539 | + | 0.0259981i | ||||
\(379\) | −1405.56 | + | 9775.86i | −0.190498 | + | 1.32494i | 0.640196 | + | 0.768211i | \(0.278853\pi\) |
−0.830694 | + | 0.556729i | \(0.812056\pi\) | |||||||
\(380\) | −842.952 | + | 5862.86i | −0.113796 | + | 0.791469i | ||||
\(381\) | −5439.46 | − | 3495.73i | −0.731423 | − | 0.470057i | ||||
\(382\) | 634.316 | + | 732.039i | 0.0849592 | + | 0.0980481i | ||||
\(383\) | 1708.70 | + | 3741.54i | 0.227965 | + | 0.499174i | 0.988703 | − | 0.149885i | \(-0.0478902\pi\) |
−0.760738 | + | 0.649059i | \(0.775163\pi\) | |||||||
\(384\) | −323.041 | + | 207.606i | −0.0429300 | + | 0.0275895i | ||||
\(385\) | 67.2662 | + | 19.7511i | 0.00890443 | + | 0.00261458i | ||||
\(386\) | 3096.98 | − | 3574.11i | 0.408374 | − | 0.471288i | ||||
\(387\) | 339.595 | − | 99.7141i | 0.0446062 | − | 0.0130976i | ||||
\(388\) | 2009.26 | − | 4399.67i | 0.262899 | − | 0.575669i | ||||
\(389\) | 12.5522 | + | 87.3022i | 0.00163604 | + | 0.0113789i | 0.990623 | − | 0.136623i | \(-0.0436249\pi\) |
−0.988987 | + | 0.148002i | \(0.952716\pi\) | |||||||
\(390\) | 3604.59 | 0.468014 | ||||||||
\(391\) | 4115.48 | − | 5965.41i | 0.532299 | − | 0.771569i | ||||
\(392\) | 2401.36 | 0.309405 | ||||||||
\(393\) | 345.102 | + | 2400.24i | 0.0442954 | + | 0.308082i | ||||
\(394\) | −2905.96 | + | 6363.17i | −0.371574 | + | 0.813634i | ||||
\(395\) | 11422.5 | − | 3353.94i | 1.45500 | − | 0.427228i | ||||
\(396\) | −23.5210 | + | 27.1447i | −0.00298478 | + | 0.00344462i | ||||
\(397\) | 11496.2 | + | 3375.60i | 1.45335 | + | 0.426742i | 0.910648 | − | 0.413183i | \(-0.135583\pi\) |
0.542702 | + | 0.839925i | \(0.317401\pi\) | |||||||
\(398\) | 3392.59 | − | 2180.29i | 0.427275 | − | 0.274593i | ||||
\(399\) | −1124.86 | − | 2463.10i | −0.141137 | − | 0.309046i | ||||
\(400\) | 101.861 | + | 117.553i | 0.0127326 | + | 0.0146942i | ||||
\(401\) | 2728.15 | + | 1753.28i | 0.339744 | + | 0.218340i | 0.699376 | − | 0.714754i | \(-0.253461\pi\) |
−0.359632 | + | 0.933094i | \(0.617098\pi\) | |||||||
\(402\) | −538.406 | + | 3744.70i | −0.0667991 | + | 0.464598i | ||||
\(403\) | −1936.24 | + | 13466.8i | −0.239332 | + | 1.66459i | ||||
\(404\) | 3062.95 | + | 1968.44i | 0.377197 | + | 0.242410i | ||||
\(405\) | −569.519 | − | 657.260i | −0.0698756 | − | 0.0806407i | ||||
\(406\) | −934.842 | − | 2047.02i | −0.114274 | − | 0.250226i | ||||
\(407\) | −108.157 | + | 69.5081i | −0.0131723 | + | 0.00846532i | ||||
\(408\) | 1512.99 | + | 444.255i | 0.183589 | + | 0.0539066i | ||||
\(409\) | 7900.89 | − | 9118.12i | 0.955193 | − | 1.10235i | −0.0394743 | − | 0.999221i | \(-0.512568\pi\) |
0.994668 | − | 0.103131i | \(-0.0328862\pi\) | |||||||
\(410\) | −5107.78 | + | 1499.78i | −0.615257 | + | 0.180656i | ||||
\(411\) | −1282.59 | + | 2808.49i | −0.153931 | + | 0.337062i | ||||
\(412\) | 407.493 | + | 2834.18i | 0.0487276 | + | 0.338908i | ||||
\(413\) | −2312.90 | −0.275570 | ||||||||
\(414\) | 1018.23 | + | 1704.50i | 0.120877 | + | 0.202347i | ||||
\(415\) | 3754.11 | 0.444053 | ||||||||
\(416\) | −254.818 | − | 1772.30i | −0.0300324 | − | 0.208880i | ||||
\(417\) | −2089.94 | + | 4576.32i | −0.245431 | + | 0.537419i | ||||
\(418\) | 264.055 | − | 77.5336i | 0.0308980 | − | 0.00907247i | ||||
\(419\) | −6129.78 | + | 7074.14i | −0.714700 | + | 0.824807i | −0.990659 | − | 0.136362i | \(-0.956459\pi\) |
0.275959 | + | 0.961169i | \(0.411004\pi\) | |||||||
\(420\) | 809.048 | + | 237.558i | 0.0939940 | + | 0.0275991i | ||||
\(421\) | 2194.76 | − | 1410.49i | 0.254077 | − | 0.163285i | −0.407403 | − | 0.913249i | \(-0.633565\pi\) |
0.661479 | + | 0.749964i | \(0.269929\pi\) | |||||||
\(422\) | 2989.89 | + | 6546.94i | 0.344895 | + | 0.755214i | ||||
\(423\) | −1589.29 | − | 1834.14i | −0.182681 | − | 0.210825i | ||||
\(424\) | −155.121 | − | 99.6900i | −0.0177673 | − | 0.0114183i | ||||
\(425\) | 90.9016 | − | 632.234i | 0.0103750 | − | 0.0721597i | ||||
\(426\) | −273.544 | + | 1902.54i | −0.0311109 | + | 0.216381i | ||||
\(427\) | −1370.30 | − | 880.640i | −0.155301 | − | 0.0998059i | ||||
\(428\) | 2224.45 | + | 2567.15i | 0.251221 | + | 0.289925i | ||||
\(429\) | −69.5725 | − | 152.343i | −0.00782982 | − | 0.0171449i | ||||
\(430\) | 710.408 | − | 456.552i | 0.0796719 | − | 0.0512020i | ||||
\(431\) | 3120.16 | + | 916.161i | 0.348707 | + | 0.102390i | 0.451396 | − | 0.892324i | \(-0.350926\pi\) |
−0.102689 | + | 0.994714i | \(0.532745\pi\) | |||||||
\(432\) | −282.900 | + | 326.484i | −0.0315070 | + | 0.0363610i | ||||
\(433\) | −4613.27 | + | 1354.58i | −0.512008 | + | 0.150339i | −0.527523 | − | 0.849540i | \(-0.676879\pi\) |
0.0155152 | + | 0.999880i | \(0.495061\pi\) | |||||||
\(434\) | −1322.11 | + | 2895.01i | −0.146229 | + | 0.320196i | ||||
\(435\) | 788.124 | + | 5481.52i | 0.0868681 | + | 0.604181i | ||||
\(436\) | 321.918 | 0.0353603 | ||||||||
\(437\) | 497.533 | − | 15204.7i | 0.0544627 | − | 1.66439i | ||||
\(438\) | −3293.25 | −0.359264 | ||||||||
\(439\) | −1759.38 | − | 12236.7i | −0.191277 | − | 1.33036i | −0.828634 | − | 0.559790i | \(-0.810882\pi\) |
0.637358 | − | 0.770568i | \(-0.280027\pi\) | |||||||
\(440\) | −35.6000 | + | 77.9532i | −0.00385719 | + | 0.00844607i | ||||
\(441\) | 2592.09 | − | 761.107i | 0.279894 | − | 0.0821842i | ||||
\(442\) | −4814.96 | + | 5556.76i | −0.518155 | + | 0.597983i | ||||
\(443\) | 11462.6 | + | 3365.71i | 1.22935 | + | 0.360970i | 0.831005 | − | 0.556265i | \(-0.187766\pi\) |
0.398346 | + | 0.917235i | \(0.369584\pi\) | |||||||
\(444\) | −1300.86 | + | 836.011i | −0.139045 | + | 0.0893589i | ||||
\(445\) | 2428.77 | + | 5318.26i | 0.258730 | + | 0.566539i | ||||
\(446\) | −2310.33 | − | 2666.26i | −0.245285 | − | 0.283074i | ||||
\(447\) | 7450.10 | + | 4787.89i | 0.788316 | + | 0.506620i | ||||
\(448\) | 59.6084 | − | 414.585i | 0.00628623 | − | 0.0437217i | ||||
\(449\) | 386.774 | − | 2690.07i | 0.0406525 | − | 0.282744i | −0.959347 | − | 0.282228i | \(-0.908927\pi\) |
1.00000 | 0.000516433i | \(-0.000164386\pi\) | ||||||||
\(450\) | 147.210 | + | 94.6060i | 0.0154212 | + | 0.00991060i | ||||
\(451\) | 161.972 | + | 186.926i | 0.0169112 | + | 0.0195166i | ||||
\(452\) | −3529.15 | − | 7727.77i | −0.367251 | − | 0.804167i | ||||
\(453\) | −3644.86 | + | 2342.41i | −0.378037 | + | 0.242949i | ||||
\(454\) | −3222.00 | − | 946.063i | −0.333074 | − | 0.0977995i | ||||
\(455\) | −2574.72 | + | 2971.39i | −0.265285 | + | 0.306155i | ||||
\(456\) | 3175.94 | − | 932.539i | 0.326155 | − | 0.0957678i | ||||
\(457\) | −1905.67 | + | 4172.84i | −0.195062 | + | 0.427127i | −0.981738 | − | 0.190240i | \(-0.939073\pi\) |
0.786675 | + | 0.617367i | \(0.211801\pi\) | |||||||
\(458\) | 1571.38 | + | 10929.2i | 0.160318 | + | 1.11503i | ||||
\(459\) | 1773.98 | 0.180397 | ||||||||
\(460\) | 3476.80 | + | 3217.66i | 0.352405 | + | 0.326140i | ||||
\(461\) | 10764.7 | 1.08756 | 0.543779 | − | 0.839229i | \(-0.316993\pi\) | ||||
0.543779 | + | 0.839229i | \(0.316993\pi\) | |||||||
\(462\) | −5.57549 | − | 38.7784i | −0.000561461 | − | 0.00390505i | ||||
\(463\) | −6452.93 | + | 14130.0i | −0.647718 | + | 1.41830i | 0.245820 | + | 0.969316i | \(0.420943\pi\) |
−0.893538 | + | 0.448988i | \(0.851784\pi\) | |||||||
\(464\) | 2639.43 | − | 775.008i | 0.264079 | − | 0.0775406i | ||||
\(465\) | 5128.87 | − | 5919.04i | 0.511496 | − | 0.590298i | ||||
\(466\) | −8495.62 | − | 2494.54i | −0.844532 | − | 0.247977i | ||||
\(467\) | −16393.0 | + | 10535.2i | −1.62437 | + | 1.04392i | −0.671285 | + | 0.741199i | \(0.734257\pi\) |
−0.953080 | + | 0.302717i | \(0.902106\pi\) | |||||||
\(468\) | −836.787 | − | 1832.31i | −0.0826506 | − | 0.180980i | ||||
\(469\) | −2702.31 | − | 3118.63i | −0.266057 | − | 0.307047i | ||||
\(470\) | −4871.27 | − | 3130.58i | −0.478074 | − | 0.307240i | ||||
\(471\) | 193.293 | − | 1344.38i | 0.0189097 | − | 0.131520i | ||||
\(472\) | 402.364 | − | 2798.51i | 0.0392380 | − | 0.272906i | ||||
\(473\) | −33.0072 | − | 21.2124i | −0.00320861 | − | 0.00206205i | ||||
\(474\) | −4356.57 | − | 5027.75i | −0.422160 | − | 0.487198i | ||||
\(475\) | −556.978 | − | 1219.61i | −0.0538019 | − | 0.117810i | ||||
\(476\) | −1446.93 | + | 929.887i | −0.139328 | + | 0.0895405i | ||||
\(477\) | −199.038 | − | 58.4430i | −0.0191055 | − | 0.00560989i | ||||
\(478\) | 7043.55 | − | 8128.69i | 0.673984 | − | 0.777819i | ||||
\(479\) | 12131.5 | − | 3562.13i | 1.15721 | − | 0.339786i | 0.353860 | − | 0.935298i | \(-0.384869\pi\) |
0.803346 | + | 0.595512i | \(0.203051\pi\) | |||||||
\(480\) | −428.181 | + | 937.586i | −0.0407160 | + | 0.0891557i | ||||
\(481\) | −1026.13 | − | 7136.89i | −0.0972713 | − | 0.676537i | ||||
\(482\) | −5077.80 | −0.479850 | ||||||||
\(483\) | −2132.39 | − | 378.147i | −0.200884 | − | 0.0356238i | ||||
\(484\) | −5320.02 | −0.499626 | ||||||||
\(485\) | −1847.65 | − | 12850.7i | −0.172984 | − | 1.20313i | ||||
\(486\) | −201.892 | + | 442.081i | −0.0188436 | + | 0.0412617i | ||||
\(487\) | −17726.3 | + | 5204.91i | −1.64939 | + | 0.484306i | −0.968694 | − | 0.248258i | \(-0.920142\pi\) |
−0.680699 | + | 0.732563i | \(0.738324\pi\) | |||||||
\(488\) | 1303.92 | − | 1504.80i | 0.120954 | − | 0.139589i | ||||
\(489\) | −7082.35 | − | 2079.57i | −0.654959 | − | 0.192313i | ||||
\(490\) | 5422.47 | − | 3484.81i | 0.499923 | − | 0.321281i | ||||
\(491\) | −5191.59 | − | 11368.0i | −0.477176 | − | 1.04487i | −0.983230 | − | 0.182368i | \(-0.941624\pi\) |
0.506055 | − | 0.862501i | \(-0.331103\pi\) | |||||||
\(492\) | 1948.13 | + | 2248.26i | 0.178513 | + | 0.206015i | ||||
\(493\) | −9502.98 | − | 6107.19i | −0.868139 | − | 0.557919i | ||||
\(494\) | −2196.49 | + | 15276.9i | −0.200050 | + | 1.39138i | ||||
\(495\) | −13.7205 | + | 95.4284i | −0.00124584 | + | 0.00866502i | ||||
\(496\) | −3272.84 | − | 2103.33i | −0.296280 | − | 0.190408i | ||||
\(497\) | −1372.94 | − | 1584.46i | −0.123913 | − | 0.143003i | ||||
\(498\) | −871.498 | − | 1908.31i | −0.0784192 | − | 0.171714i | ||||
\(499\) | 16564.8 | − | 10645.6i | 1.48606 | − | 0.955031i | 0.489510 | − | 0.871998i | \(-0.337176\pi\) |
0.996547 | − | 0.0830330i | \(-0.0264607\pi\) | |||||||
\(500\) | 5551.53 | + | 1630.08i | 0.496544 | + | 0.145799i | ||||
\(501\) | 3144.10 | − | 3628.49i | 0.280375 | − | 0.323571i | ||||
\(502\) | −5500.02 | + | 1614.95i | −0.489000 | + | 0.143583i | ||||
\(503\) | 1207.36 | − | 2643.75i | 0.107025 | − | 0.234352i | −0.848541 | − | 0.529130i | \(-0.822518\pi\) |
0.955566 | + | 0.294778i | \(0.0952457\pi\) | |||||||
\(504\) | −67.0594 | − | 466.408i | −0.00592671 | − | 0.0412212i | ||||
\(505\) | 9772.98 | 0.861172 | ||||||||
\(506\) | 68.8838 | − | 209.046i | 0.00605190 | − | 0.0183661i | ||||
\(507\) | 2801.50 | 0.245403 | ||||||||
\(508\) | 1226.93 | + | 8533.45i | 0.107158 | + | 0.745297i | ||||
\(509\) | −8209.02 | + | 17975.2i | −0.714850 | + | 1.56530i | 0.106135 | + | 0.994352i | \(0.466152\pi\) |
−0.820985 | + | 0.570950i | \(0.806575\pi\) | |||||||
\(510\) | 4061.17 | − | 1192.47i | 0.352611 | − | 0.103536i | ||||
\(511\) | 2352.34 | − | 2714.74i | 0.203643 | − | 0.235016i | ||||
\(512\) | 491.260 | + | 144.247i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | 3132.63 | − | 2013.22i | 0.269608 | − | 0.173267i | ||||
\(514\) | −3610.71 | − | 7906.34i | −0.309847 | − | 0.678470i | ||||
\(515\) | 5033.07 | + | 5808.48i | 0.430648 | + | 0.496994i | ||||
\(516\) | −396.995 | − | 255.133i | −0.0338697 | − | 0.0217667i | ||||
\(517\) | −38.2883 | + | 266.301i | −0.00325709 | + | 0.0226536i | ||||
\(518\) | 240.038 | − | 1669.50i | 0.0203603 | − | 0.141609i | ||||
\(519\) | 1853.09 | + | 1190.91i | 0.156728 | + | 0.100723i | ||||
\(520\) | −3147.34 | − | 3632.22i | −0.265423 | − | 0.306314i | ||||
\(521\) | −9174.10 | − | 20088.5i | −0.771449 | − | 1.68924i | −0.723438 | − | 0.690390i | \(-0.757439\pi\) |
−0.0480110 | − | 0.998847i | \(-0.515288\pi\) | |||||||
\(522\) | 2603.44 | − | 1673.13i | 0.218294 | − | 0.140289i | ||||
\(523\) | −4951.78 | − | 1453.97i | −0.414008 | − | 0.121564i | 0.0680936 | − | 0.997679i | \(-0.478308\pi\) |
−0.482102 | + | 0.876115i | \(0.660127\pi\) | |||||||
\(524\) | 2117.31 | − | 2443.51i | 0.176518 | − | 0.203712i | ||||
\(525\) | −183.138 | + | 53.7740i | −0.0152243 | + | 0.00447027i | ||||
\(526\) | 5655.00 | − | 12382.7i | 0.468764 | − | 1.02645i | ||||
\(527\) | 2273.59 | + | 15813.2i | 0.187930 | + | 1.30708i | ||||
\(528\) | 47.8901 | 0.00394725 | ||||||||
\(529\) | −9783.60 | − | 7233.05i | −0.804110 | − | 0.594481i | ||||
\(530\) | −494.945 | −0.0405642 | ||||||||
\(531\) | −452.660 | − | 3148.32i | −0.0369939 | − | 0.257298i | ||||
\(532\) | −1499.82 | + | 3284.14i | −0.122228 | + | 0.267642i | ||||
\(533\) | −13309.4 | + | 3907.99i | −1.08160 | + | 0.317587i | ||||
\(534\) | 2139.59 | − | 2469.22i | 0.173388 | − | 0.200100i | ||||
\(535\) | 8748.41 | + | 2568.77i | 0.706966 | + | 0.207584i | ||||
\(536\) | 4243.51 | − | 2727.14i | 0.341962 | − | 0.219766i | ||||
\(537\) | 2969.14 | + | 6501.50i | 0.238599 | + | 0.522459i | ||||
\(538\) | −3517.85 | − | 4059.81i | −0.281906 | − | 0.325336i | ||||
\(539\) | −251.940 | − | 161.912i | −0.0201333 | − | 0.0129389i | ||||
\(540\) | −165.024 | + | 1147.77i | −0.0131510 | + | 0.0914669i | ||||
\(541\) | −824.778 | + | 5736.46i | −0.0655452 | + | 0.455877i | 0.930446 | + | 0.366429i | \(0.119420\pi\) |
−0.995991 | + | 0.0894486i | \(0.971490\pi\) | |||||||
\(542\) | −4915.04 | − | 3158.70i | −0.389518 | − | 0.250328i | ||||
\(543\) | −3369.98 | − | 3889.17i | −0.266335 | − | 0.307367i | ||||
\(544\) | −873.406 | − | 1912.49i | −0.0688364 | − | 0.150731i | ||||
\(545\) | 726.920 | − | 467.163i | 0.0571336 | − | 0.0367175i | ||||
\(546\) | 2108.14 | + | 619.007i | 0.165238 | + | 0.0485184i | ||||
\(547\) | −12019.7 | + | 13871.5i | −0.939538 | + | 1.08428i | 0.0567661 | + | 0.998388i | \(0.481921\pi\) |
−0.996304 | + | 0.0858971i | \(0.972624\pi\) | |||||||
\(548\) | 3949.91 | − | 1159.80i | 0.307905 | − | 0.0904090i | ||||
\(549\) | 930.544 | − | 2037.61i | 0.0723400 | − | 0.158402i | ||||
\(550\) | −2.76072 | − | 19.2012i | −0.000214031 | − | 0.00148862i | ||||
\(551\) | −23712.0 | −1.83333 | ||||||||
\(552\) | 828.504 | − | 2514.31i | 0.0638831 | − | 0.193870i | ||||
\(553\) | 7256.40 | 0.557999 | ||||||||
\(554\) | −2184.13 | − | 15191.0i | −0.167500 | − | 1.16499i | ||||
\(555\) | −1724.25 | + | 3775.57i | −0.131874 | + | 0.288764i | ||||
\(556\) | 6436.23 | − | 1889.85i | 0.490930 | − | 0.144150i | ||||
\(557\) | −9814.94 | + | 11327.0i | −0.746629 | + | 0.861656i | −0.994237 | − | 0.107204i | \(-0.965810\pi\) |
0.247608 | + | 0.968860i | \(0.420356\pi\) | |||||||
\(558\) | −4199.45 | − | 1233.07i | −0.318596 | − | 0.0935483i | ||||
\(559\) | 1851.12 | − | 1189.64i | 0.140061 | − | 0.0900116i | ||||
\(560\) | −467.039 | − | 1022.67i | −0.0352429 | − | 0.0771711i | ||||
\(561\) | −128.783 | − | 148.623i | −0.00969202 | − | 0.0111852i | ||||
\(562\) | 11782.6 | + | 7572.23i | 0.884377 | + | 0.568355i | ||||
\(563\) | −1996.86 | + | 13888.5i | −0.149481 | + | 1.03966i | 0.767591 | + | 0.640940i | \(0.221455\pi\) |
−0.917072 | + | 0.398722i | \(0.869454\pi\) | |||||||
\(564\) | −460.514 | + | 3202.94i | −0.0343814 | + | 0.239128i | ||||
\(565\) | −19183.6 | − | 12328.5i | −1.42842 | − | 0.917991i | ||||
\(566\) | −2952.90 | − | 3407.82i | −0.219292 | − | 0.253077i | ||||
\(567\) | −220.214 | − | 482.201i | −0.0163106 | − | 0.0357152i | ||||
\(568\) | 2155.97 | − | 1385.56i | 0.159265 | − | 0.102353i | ||||
\(569\) | −2332.04 | − | 684.749i | −0.171818 | − | 0.0504502i | 0.194692 | − | 0.980864i | \(-0.437629\pi\) |
−0.366510 | + | 0.930414i | \(0.619447\pi\) | |||||||
\(570\) | 5818.26 | − | 6714.63i | 0.427544 | − | 0.493412i | ||||
\(571\) | 13576.4 | − | 3986.39i | 0.995016 | − | 0.292163i | 0.256607 | − | 0.966516i | \(-0.417395\pi\) |
0.738409 | + | 0.674353i | \(0.235577\pi\) | |||||||
\(572\) | −92.7633 | + | 203.123i | −0.00678082 | + | 0.0148479i | ||||
\(573\) | −206.775 | − | 1438.15i | −0.0150753 | − | 0.104851i | ||||
\(574\) | −3244.84 | −0.235953 | ||||||||
\(575\) | −1055.86 | − | 187.240i | −0.0765779 | − | 0.0135799i | ||||
\(576\) | 576.000 | 0.0416667 | ||||||||
\(577\) | 665.463 | + | 4628.40i | 0.0480132 | + | 0.333939i | 0.999644 | + | 0.0266940i | \(0.00849798\pi\) |
−0.951630 | + | 0.307245i | \(0.900593\pi\) | |||||||
\(578\) | 495.290 | − | 1084.53i | 0.0356425 | − | 0.0780461i | ||||
\(579\) | −6806.48 | + | 1998.56i | −0.488545 | + | 0.143450i | ||||
\(580\) | 4835.39 | − | 5580.34i | 0.346170 | − | 0.399502i | ||||
\(581\) | 2195.59 | + | 644.684i | 0.156779 | + | 0.0460344i | ||||
\(582\) | −6103.41 | + | 3922.43i | −0.434699 | + | 0.279364i | ||||
\(583\) | 9.55298 | + | 20.9181i | 0.000678635 | + | 0.00148600i | ||||
\(584\) | 2875.50 | + | 3318.50i | 0.203748 | + | 0.235138i | ||||
\(585\) | −4548.56 | − | 2923.18i | −0.321469 | − | 0.206596i | ||||
\(586\) | −1545.66 | + | 10750.3i | −0.108960 | + | 0.757833i | ||||
\(587\) | −2824.72 | + | 19646.4i | −0.198618 | + | 1.38142i | 0.609681 | + | 0.792647i | \(0.291298\pi\) |
−0.808299 | + | 0.588772i | \(0.799611\pi\) | |||||||
\(588\) | −3030.22 | − | 1947.41i | −0.212524 | − | 0.136581i | ||||
\(589\) | 21960.7 | + | 25344.0i | 1.53629 | + | 1.77297i | ||||
\(590\) | −3152.58 | − | 6903.18i | −0.219982 | − | 0.481694i | ||||
\(591\) | 8827.25 | − | 5672.93i | 0.614390 | − | 0.394845i | ||||
\(592\) | 1978.26 | + | 580.870i | 0.137341 | + | 0.0403271i | ||||
\(593\) | 9657.05 | − | 11144.8i | 0.668748 | − | 0.771777i | −0.315432 | − | 0.948948i | \(-0.602149\pi\) |
0.984180 | + | 0.177172i | \(0.0566948\pi\) | |||||||
\(594\) | 51.6940 | − | 15.1787i | 0.00357076 | − | 0.00104847i | ||||
\(595\) | −1917.86 | + | 4199.53i | −0.132142 | + | 0.289351i | ||||
\(596\) | −1680.44 | − | 11687.7i | −0.115493 | − | 0.803269i | ||||
\(597\) | −6049.18 | −0.414701 | ||||||||
\(598\) | 9059.52 | + | 8384.30i | 0.619518 | + | 0.573344i | ||||
\(599\) | 11819.6 | 0.806239 | 0.403119 | − | 0.915147i | \(-0.367926\pi\) | ||||
0.403119 | + | 0.915147i | \(0.367926\pi\) | |||||||
\(600\) | −33.2046 | − | 230.943i | −0.00225929 | − | 0.0157137i | ||||
\(601\) | −7333.66 | + | 16058.5i | −0.497748 | + | 1.08992i | 0.479447 | + | 0.877571i | \(0.340837\pi\) |
−0.977195 | + | 0.212344i | \(0.931890\pi\) | |||||||
\(602\) | 493.885 | − | 145.018i | 0.0334373 | − | 0.00981808i | ||||
\(603\) | 3716.21 | − | 4288.73i | 0.250971 | − | 0.289636i | ||||
\(604\) | 5542.87 | + | 1627.53i | 0.373404 | + | 0.109641i | ||||
\(605\) | −12013.1 | + | 7720.33i | −0.807274 | + | 0.518803i | ||||
\(606\) | −2268.75 | − | 4967.87i | −0.152082 | − | 0.333013i | ||||
\(607\) | −12236.2 | − | 14121.3i | −0.818207 | − | 0.944262i | 0.181023 | − | 0.983479i | \(-0.442059\pi\) |
−0.999231 | + | 0.0392172i | \(0.987514\pi\) | |||||||
\(608\) | −3712.75 | − | 2386.04i | −0.247651 | − | 0.159156i | ||||
\(609\) | −480.394 | + | 3341.21i | −0.0319648 | + | 0.222320i | ||||
\(610\) | 760.618 | − | 5290.21i | 0.0504861 | − | 0.351138i | ||||
\(611\) | −12693.1 | − | 8157.37i | −0.840440 | − | 0.540118i | ||||
\(612\) | −1548.94 | − | 1787.58i | −0.102308 | − | 0.118069i | ||||
\(613\) | −4841.32 | − | 10601.0i | −0.318987 | − | 0.698484i | 0.680423 | − | 0.732819i | \(-0.261796\pi\) |
−0.999410 | + | 0.0343353i | \(0.989069\pi\) | |||||||
\(614\) | −5891.19 | + | 3786.04i | −0.387214 | + | 0.248847i | ||||
\(615\) | 7661.68 | + | 2249.67i | 0.502355 | + | 0.147505i | ||||
\(616\) | −34.2074 | + | 39.4775i | −0.00223743 | + | 0.00258213i | ||||
\(617\) | −11456.4 | + | 3363.91i | −0.747517 | + | 0.219491i | −0.633237 | − | 0.773958i | \(-0.718274\pi\) |
−0.114280 | + | 0.993449i | \(0.536456\pi\) | |||||||
\(618\) | 1784.20 | − | 3906.85i | 0.116134 | − | 0.254299i | ||||
\(619\) | 688.788 | + | 4790.63i | 0.0447249 | + | 0.311069i | 0.999888 | + | 0.0149875i | \(0.00477084\pi\) |
−0.955163 | + | 0.296081i | \(0.904320\pi\) | |||||||
\(620\) | −10442.7 | −0.676432 | ||||||||
\(621\) | 97.4017 | − | 2976.62i | 0.00629404 | − | 0.192347i | ||||
\(622\) | 16054.9 | 1.03496 | ||||||||
\(623\) | 507.174 | + | 3527.48i | 0.0326156 | + | 0.226846i | ||||
\(624\) | −1115.72 | + | 2443.08i | −0.0715775 | + | 0.156733i | ||||
\(625\) | 13735.4 | − | 4033.08i | 0.879067 | − | 0.258117i | ||||
\(626\) | −4857.40 | + | 5605.73i | −0.310129 | + | 0.357908i | ||||
\(627\) | −396.083 | − | 116.300i | −0.0252281 | − | 0.00740764i | ||||
\(628\) | −1523.46 | + | 979.068i | −0.0968036 | + | 0.0622119i | ||||
\(629\) | −3517.13 | − | 7701.44i | −0.222953 | − | 0.488198i | ||||
\(630\) | −828.271 | − | 955.876i | −0.0523795 | − | 0.0604492i | ||||
\(631\) | −16169.0 | − | 10391.2i | −1.02009 | − | 0.655574i | −0.0801065 | − | 0.996786i | \(-0.525526\pi\) |
−0.939986 | + | 0.341213i | \(0.889162\pi\) | |||||||
\(632\) | −1262.36 | + | 8779.93i | −0.0794527 | + | 0.552606i | ||||
\(633\) | 1536.44 | − | 10686.1i | 0.0964736 | − | 0.670989i | ||||
\(634\) | −3313.65 | − | 2129.55i | −0.207574 | − | 0.133400i | ||||
\(635\) | 15154.1 | + | 17488.8i | 0.947044 | + | 1.09295i | ||||
\(636\) | 114.899 | + | 251.594i | 0.00716358 | + | 0.0156861i | ||||
\(637\) | 14129.4 | − | 9080.41i | 0.878849 | − | 0.564802i | ||||
\(638\) | −329.173 | − | 96.6541i | −0.0204265 | − | 0.00599776i | ||||
\(639\) | 1888.06 | − | 2178.94i | 0.116887 | − | 0.134895i | ||||
\(640\) | 1318.64 | − | 387.187i | 0.0814434 | − | 0.0239139i | ||||
\(641\) | −12038.6 | + | 26360.8i | −0.741803 | + | 1.62432i | 0.0387639 | + | 0.999248i | \(0.487658\pi\) |
−0.780566 | + | 0.625073i | \(0.785069\pi\) | |||||||
\(642\) | −725.128 | − | 5043.38i | −0.0445772 | − | 0.310041i | ||||
\(643\) | 21357.9 | 1.30991 | 0.654955 | − | 0.755668i | \(-0.272688\pi\) | ||||
0.654955 | + | 0.755668i | \(0.272688\pi\) | |||||||
\(644\) | 1480.84 | + | 2478.91i | 0.0906110 | + | 0.151682i | ||||
\(645\) | −1266.70 | −0.0773273 | ||||||||
\(646\) | 2579.19 | + | 17938.6i | 0.157085 | + | 1.09255i | ||||
\(647\) | 1235.66 | − | 2705.72i | 0.0750833 | − | 0.164409i | −0.868368 | − | 0.495920i | \(-0.834831\pi\) |
0.943452 | + | 0.331510i | \(0.107558\pi\) | |||||||
\(648\) | 621.751 | − | 182.563i | 0.0376924 | − | 0.0110675i | ||||
\(649\) | −230.904 | + | 266.478i | −0.0139658 | + | 0.0161174i | ||||
\(650\) | 1043.85 | + | 306.503i | 0.0629896 | + | 0.0184954i | ||||
\(651\) | 4016.09 | − | 2580.98i | 0.241786 | − | 0.155387i | ||||
\(652\) | 4088.43 | + | 8952.41i | 0.245576 | + | 0.537736i | ||||
\(653\) | 14341.0 | + | 16550.4i | 0.859431 | + | 0.991836i | 0.999998 | + | 0.00176480i | \(0.000561754\pi\) |
−0.140568 | + | 0.990071i | \(0.544893\pi\) | |||||||
\(654\) | −406.222 | − | 261.063i | −0.0242883 | − | 0.0156091i | ||||
\(655\) | 1235.10 | − | 8590.28i | 0.0736781 | − | 0.512443i | ||||
\(656\) | 564.491 | − | 3926.12i | 0.0335971 | − | 0.233673i | ||||
\(657\) | 4155.69 | + | 2670.70i | 0.246772 | + | 0.158591i | ||||
\(658\) | −2311.36 | − | 2667.45i | −0.136939 | − | 0.158037i | ||||
\(659\) | 11969.2 | + | 26209.0i | 0.707519 | + | 1.54925i | 0.830610 | + | 0.556855i | \(0.187992\pi\) |
−0.123091 | + | 0.992395i | \(0.539281\pi\) | |||||||
\(660\) | 108.140 | − | 69.4973i | 0.00637779 | − | 0.00409876i | ||||
\(661\) | 20070.7 | + | 5893.28i | 1.18103 | + | 0.346781i | 0.812570 | − | 0.582864i | \(-0.198068\pi\) |
0.368457 | + | 0.929645i | \(0.379886\pi\) | |||||||
\(662\) | 11533.7 | − | 13310.6i | 0.677146 | − | 0.781468i | ||||
\(663\) | 10582.2 | − | 3107.22i | 0.619879 | − | 0.182013i | ||||
\(664\) | −1162.00 | + | 2544.42i | −0.0679130 | + | 0.148709i | ||||
\(665\) | 1379.18 | + | 9592.38i | 0.0804243 | + | 0.559363i | ||||
\(666\) | 2319.50 | 0.134953 | ||||||||
\(667\) | −10769.2 | + | 15610.1i | −0.625168 | + | 0.906183i | ||||
\(668\) | −6401.57 | −0.370785 | ||||||||
\(669\) | 753.123 | + | 5238.09i | 0.0435238 | + | 0.302715i | ||||
\(670\) | 5624.64 | − | 12316.2i | 0.324327 | − | 0.710176i | ||||
\(671\) | −238.264 | + | 69.9606i | −0.0137080 | + | 0.00402504i | ||||
\(672\) | −411.431 | + | 474.817i | −0.0236180 | + | 0.0272566i | ||||
\(673\) | 17202.9 | + | 5051.24i | 0.985326 | + | 0.289318i | 0.734421 | − | 0.678694i | \(-0.237454\pi\) |
0.250905 | + | 0.968012i | \(0.419272\pi\) | |||||||
\(674\) | −19144.6 | + | 12303.5i | −1.09410 | + | 0.703133i | ||||
\(675\) | −109.039 | − | 238.763i | −0.00621767 | − | 0.0136148i | ||||
\(676\) | −2446.13 | − | 2822.98i | −0.139174 | − | 0.160616i | ||||
\(677\) | −9656.68 | − | 6205.97i | −0.548207 | − | 0.352312i | 0.237034 | − | 0.971501i | \(-0.423825\pi\) |
−0.785241 | + | 0.619190i | \(0.787461\pi\) | |||||||
\(678\) | −1813.55 | + | 12613.5i | −0.102727 | + | 0.714483i | ||||
\(679\) | 1126.22 | − | 7833.01i | 0.0636528 | − | 0.442715i | ||||
\(680\) | −4747.61 | − | 3051.10i | −0.267739 | − | 0.172065i | ||||
\(681\) | 3298.55 | + | 3806.73i | 0.185611 | + | 0.214206i | ||||
\(682\) | 201.555 | + | 441.345i | 0.0113166 | + | 0.0247800i | ||||
\(683\) | 15025.1 | − | 9656.06i | 0.841758 | − | 0.540965i | −0.0472363 | − | 0.998884i | \(-0.515041\pi\) |
0.888994 | + | 0.457919i | \(0.151405\pi\) | |||||||
\(684\) | −4763.90 | − | 1398.81i | −0.266305 | − | 0.0781941i | ||||
\(685\) | 7236.16 | − | 8350.98i | 0.403620 | − | 0.465802i | ||||
\(686\) | 8077.45 | − | 2371.75i | 0.449560 | − | 0.132003i | ||||
\(687\) | 6880.23 | − | 15065.6i | 0.382092 | − | 0.836665i | ||||
\(688\) | 89.5462 | + | 622.808i | 0.00496209 | + | 0.0345121i | ||||
\(689\) | −1289.68 | −0.0713106 | ||||||||
\(690\) | −1777.90 | − | 6879.85i | −0.0980921 | − | 0.379582i | ||||
\(691\) | 2824.27 | 0.155485 | 0.0777425 | − | 0.996973i | \(-0.475229\pi\) | ||||
0.0777425 | + | 0.996973i | \(0.475229\pi\) | |||||||
\(692\) | −417.984 | − | 2907.14i | −0.0229615 | − | 0.159701i | ||||
\(693\) | −24.4121 | + | 53.4551i | −0.00133815 | + | 0.00293015i | ||||
\(694\) | 2508.70 | − | 736.622i | 0.137218 | − | 0.0402908i | ||||
\(695\) | 11791.1 | − | 13607.6i | 0.643540 | − | 0.742685i | ||||
\(696\) | −3959.15 | − | 1162.51i | −0.215620 | − | 0.0633116i | ||||
\(697\) | −13702.4 | + | 8806.02i | −0.744644 | + | 0.478553i | ||||
\(698\) | 6707.86 | + | 14688.2i | 0.363748 | + | 0.796498i | ||||
\(699\) | 8697.48 | + | 10037.4i | 0.470628 | + | 0.543134i | ||||
\(700\) | 214.092 | + | 137.589i | 0.0115599 | + | 0.00742910i | ||||
\(701\) | 5189.99 | − | 36097.2i | 0.279634 | − | 1.94490i | −0.0448192 | − | 0.998995i | \(-0.514271\pi\) |
0.324453 | − | 0.945902i | \(-0.394820\pi\) | |||||||
\(702\) | −430.005 | + | 2990.75i | −0.0231190 | + | 0.160796i | ||||
\(703\) | −14950.9 | − | 9608.37i | −0.802111 | − | 0.515486i | ||||
\(704\) | −41.8151 | − | 48.2572i | −0.00223859 | − | 0.00258347i | ||||
\(705\) | 3608.18 | + | 7900.82i | 0.192755 | + | 0.422074i | ||||
\(706\) | 7893.46 | − | 5072.82i | 0.420785 | − | 0.270422i | ||||
\(707\) | 5715.73 | + | 1678.29i | 0.304049 | + | 0.0892767i | ||||
\(708\) | −2777.21 | + | 3205.08i | −0.147421 | + | 0.170133i | ||||
\(709\) | 4249.18 | − | 1247.67i | 0.225080 | − | 0.0660894i | −0.167248 | − | 0.985915i | \(-0.553488\pi\) |
0.392328 | + | 0.919825i | \(0.371670\pi\) | |||||||
\(710\) | 2857.67 | − | 6257.42i | 0.151051 | − | 0.330756i | ||||
\(711\) | 1420.16 | + | 9877.42i | 0.0749087 | + | 0.521002i | ||||
\(712\) | −4356.32 | −0.229298 | ||||||||
\(713\) | 26658.3 | − | 2946.70i | 1.40023 | − | 0.154775i | ||||
\(714\) | 2579.96 | 0.135228 | ||||||||
\(715\) | 85.3018 | + | 593.287i | 0.00446169 | + | 0.0310317i | ||||
\(716\) | 3958.85 | − | 8668.67i | 0.206633 | − | 0.452463i | ||||
\(717\) | −15480.2 | + | 4545.39i | −0.806301 | + | 0.236751i | ||||
\(718\) | −11518.9 | + | 13293.5i | −0.598721 | + | 0.690961i | ||||
\(719\) | −14454.2 | − | 4244.13i | −0.749722 | − | 0.220138i | −0.115519 | − | 0.993305i | \(-0.536853\pi\) |
−0.634202 | + | 0.773167i | \(0.718671\pi\) | |||||||
\(720\) | 1300.66 | − | 835.883i | 0.0673232 | − | 0.0432660i | ||||
\(721\) | 1946.12 | + | 4261.41i | 0.100523 | + | 0.220115i | ||||
\(722\) | 15929.1 | + | 18383.1i | 0.821078 | + | 0.947574i | ||||
\(723\) | 6407.58 | + | 4117.90i | 0.329599 | + | 0.211821i | ||||
\(724\) | −976.489 | + | 6791.63i | −0.0501256 | + | 0.348631i | ||||
\(725\) | −237.868 | + | 1654.41i | −0.0121851 | + | 0.0847493i | ||||
\(726\) | 6713.23 | + | 4314.33i | 0.343183 | + | 0.220551i | ||||
\(727\) | −13258.2 | − | 15300.8i | −0.676367 | − | 0.780569i | 0.308991 | − | 0.951065i | \(-0.400009\pi\) |
−0.985358 | + | 0.170496i | \(0.945463\pi\) | |||||||
\(728\) | −1216.97 | − | 2664.79i | −0.0619558 | − | 0.135664i | ||||
\(729\) | 613.274 | − | 394.127i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 11308.9 | + | 3320.59i | 0.573371 | + | 0.168357i | ||||
\(731\) | 1692.04 | − | 1952.72i | 0.0856119 | − | 0.0988014i | ||||
\(732\) | −2865.73 | + | 841.454i | −0.144700 | + | 0.0424878i | ||||
\(733\) | −5173.13 | + | 11327.6i | −0.260674 | + | 0.570796i | −0.994037 | − | 0.109041i | \(-0.965222\pi\) |
0.733363 | + | 0.679837i | \(0.237949\pi\) | |||||||
\(734\) | −2025.52 | − | 14087.8i | −0.101857 | − | 0.708434i | ||||
\(735\) | −9668.56 | −0.485211 | ||||||||
\(736\) | −3256.99 | + | 1360.51i | −0.163117 | + | 0.0681374i | ||||
\(737\) | −629.090 | −0.0314421 | ||||||||
\(738\) | −635.052 | − | 4416.89i | −0.0316756 | − | 0.220309i | ||||
\(739\) | −6927.08 | + | 15168.2i | −0.344813 | + | 0.755035i | −1.00000 | 0.000431643i | \(-0.999863\pi\) | |
0.655187 | + | 0.755467i | \(0.272590\pi\) | |||||||
\(740\) | 5310.04 | − | 1559.17i | 0.263785 | − | 0.0774543i | ||||
\(741\) | 15160.7 | − | 17496.4i | 0.751608 | − | 0.867402i | ||||
\(742\) | −289.469 | − | 84.9957i | −0.0143217 | − | 0.00420524i | ||||
\(743\) | 14749.4 | − | 9478.87i | 0.728268 | − | 0.468030i | −0.123236 | − | 0.992377i | \(-0.539327\pi\) |
0.851504 | + | 0.524348i | \(0.175691\pi\) | |||||||
\(744\) | 2424.22 | + | 5308.29i | 0.119457 | + | 0.261574i | ||||
\(745\) | −20755.7 | − | 23953.3i | −1.02071 | − | 1.17796i | ||||
\(746\) | −3847.16 | − | 2472.42i | −0.188813 | − | 0.121343i | ||||
\(747\) | −447.843 | + | 3114.81i | −0.0219354 | + | 0.152564i | ||||
\(748\) | −37.3163 | + | 259.540i | −0.00182409 | + | 0.0126868i | ||||
\(749\) | 4675.39 | + | 3004.69i | 0.228084 | + | 0.146581i | ||||
\(750\) | −5683.44 | − | 6559.04i | −0.276707 | − | 0.319336i | ||||
\(751\) | −14584.1 | − | 31934.7i | −0.708631 | − | 1.55168i | −0.829183 | − | 0.558978i | \(-0.811194\pi\) |
0.120552 | − | 0.992707i | \(-0.461534\pi\) | |||||||
\(752\) | 3629.60 | − | 2332.60i | 0.176008 | − | 0.113113i | ||||
\(753\) | 8250.03 | + | 2422.43i | 0.399266 | + | 0.117235i | ||||
\(754\) | 12599.6 | − | 14540.8i | 0.608556 | − | 0.702312i | ||||
\(755\) | 14878.1 | − | 4368.62i | 0.717181 | − | 0.210583i | ||||
\(756\) | −293.618 | + | 642.934i | −0.0141254 | + | 0.0309303i | ||||
\(757\) | −2203.19 | − | 15323.5i | −0.105781 | − | 0.735723i | −0.971816 | − | 0.235740i | \(-0.924249\pi\) |
0.866035 | − | 0.499983i | \(-0.166660\pi\) | |||||||
\(758\) | −19752.8 | −0.946508 | ||||||||
\(759\) | −256.452 | + | 207.929i | −0.0122643 | + | 0.00994381i | ||||
\(760\) | −11846.3 | −0.565408 | ||||||||
\(761\) | −4740.30 | − | 32969.5i | −0.225802 | − | 1.57049i | −0.715510 | − | 0.698603i | \(-0.753805\pi\) |
0.489707 | − | 0.871887i | \(-0.337104\pi\) | |||||||
\(762\) | 5372.07 | − | 11763.2i | 0.255393 | − | 0.559233i | ||||
\(763\) | 505.364 | − | 148.388i | 0.0239783 | − | 0.00704065i | ||||
\(764\) | −1268.63 | + | 1464.08i | −0.0600752 | + | 0.0693305i | ||||
\(765\) | −6091.75 | − | 1788.70i | −0.287906 | − | 0.0845367i | ||||
\(766\) | −6920.56 | + | 4447.57i | −0.326436 | + | 0.209788i | ||||
\(767\) | −8214.70 | − | 17987.7i | −0.386722 | − | 0.846802i | ||||
\(768\) | −502.933 | − | 580.416i | −0.0236303 | − | 0.0272708i | ||||
\(769\) | −20788.0 | − | 13359.7i | −0.974819 | − | 0.626478i | −0.0467578 | − | 0.998906i | \(-0.514889\pi\) |
−0.928061 | + | 0.372428i | \(0.878525\pi\) | |||||||
\(770\) | −19.9543 | + | 138.785i | −0.000933898 | + | 0.00649540i | ||||
\(771\) | −1855.46 | + | 12905.0i | −0.0866702 | + | 0.602804i | ||||
\(772\) | 7956.95 | + | 5113.62i | 0.370955 | + | 0.238398i | ||||
\(773\) | 16775.0 | + | 19359.3i | 0.780534 | + | 0.900785i | 0.997148 | − | 0.0754728i | \(-0.0240466\pi\) |
−0.216613 | + | 0.976257i | \(0.569501\pi\) | |||||||
\(774\) | 294.057 | + | 643.896i | 0.0136559 | + | 0.0299023i | ||||
\(775\) | 1988.58 | − | 1277.98i | 0.0921700 | − | 0.0592340i | ||||
\(776\) | 9281.68 | + | 2725.35i | 0.429372 | + | 0.126075i | ||||
\(777\) | −1656.80 | + | 1912.05i | −0.0764959 | + | 0.0882809i | ||||
\(778\) | −169.255 | + | 49.6976i | −0.00779958 | + | 0.00229016i | ||||
\(779\) | −14203.2 | + | 31100.8i | −0.653253 | + | 1.43042i | ||||
\(780\) | 1025.97 | + | 7135.79i | 0.0470970 | + | 0.327567i | ||||
\(781\) | −319.617 | −0.0146438 | ||||||||
\(782\) | 12980.8 | + | 6449.25i | 0.593595 | + | 0.294917i | ||||
\(783\) | −4642.08 | −0.211870 | ||||||||
\(784\) | 683.497 | + | 4753.83i | 0.0311360 | + | 0.216555i | ||||
\(785\) | −2019.30 | + | 4421.64i | −0.0918112 | + | 0.201038i | ||||
\(786\) | −4653.39 | + | 1366.36i | −0.211172 | + | 0.0620056i | ||||
\(787\) | −8302.85 | + | 9582.00i | −0.376067 | + | 0.434004i | −0.911958 | − | 0.410282i | \(-0.865430\pi\) |
0.535892 | + | 0.844287i | \(0.319976\pi\) | |||||||
\(788\) | −13423.9 | − | 3941.62i | −0.606862 | − | 0.178191i | ||||
\(789\) | −17177.8 | + | 11039.5i | −0.775092 | + | 0.498121i | ||||
\(790\) | 9890.77 | + | 21657.8i | 0.445440 | + | 0.975378i | ||||
\(791\) | −9102.36 | − | 10504.7i | −0.409157 | − | 0.472192i | ||||
\(792\) | −60.4315 | − | 38.8370i | −0.00271129 | − | 0.00174244i | ||||
\(793\) | 1981.95 | − | 13784.8i | 0.0887529 | − | 0.617290i | ||||
\(794\) | −3410.31 | + | 23719.3i | −0.152428 | + | 1.06016i | ||||
\(795\) | 624.561 | + | 401.381i | 0.0278628 | + | 0.0179063i | ||||
\(796\) | 5281.82 | + | 6095.55i | 0.235188 | + | 0.271421i | ||||
\(797\) | −7163.36 | − | 15685.6i | −0.318368 | − | 0.697129i | 0.681014 | − | 0.732270i | \(-0.261539\pi\) |
−0.999382 | + | 0.0351414i | \(0.988812\pi\) | |||||||
\(798\) | 4555.90 | − | 2927.90i | 0.202101 | − | 0.129883i | ||||
\(799\) | −16999.5 | − | 4991.52i | −0.752692 | − | 0.221010i | ||||
\(800\) | −203.721 | + | 235.107i | −0.00900329 | + | 0.0103903i | ||||
\(801\) | −4702.34 | + | 1380.73i | −0.207427 | + | 0.0609061i | ||||
\(802\) | −2694.35 | + | 5899.80i | −0.118629 | + | 0.259762i | ||||
\(803\) | −77.9342 | − | 542.045i | −0.00342496 | − | 0.0238211i | ||||
\(804\) | −7566.41 | −0.331899 | ||||||||
\(805\) | 6941.24 | + | 3448.63i | 0.303909 | + | 0.150992i | ||||
\(806\) | −27210.6 | −1.18915 | ||||||||
\(807\) | 1146.75 | + | 7975.84i | 0.0500218 | + | 0.347909i | ||||
\(808\) | −3025.00 | + | 6623.83i | −0.131707 | + | 0.288398i | ||||
\(809\) | 2807.19 | − | 824.266i | 0.121997 | − | 0.0358216i | −0.220164 | − | 0.975463i | \(-0.570659\pi\) |
0.342161 | + | 0.939641i | \(0.388841\pi\) | |||||||
\(810\) | 1139.04 | − | 1314.52i | 0.0494095 | − | 0.0570216i | ||||
\(811\) | −7187.54 | − | 2110.45i | −0.311207 | − | 0.0913785i | 0.122400 | − | 0.992481i | \(-0.460941\pi\) |
−0.433606 | + | 0.901102i | \(0.642759\pi\) | |||||||
\(812\) | 3786.28 | − | 2433.30i | 0.163636 | − | 0.105162i | ||||
\(813\) | 3640.60 | + | 7971.81i | 0.157050 | + | 0.343891i | ||||
\(814\) | −168.386 | − | 194.327i | −0.00725051 | − | 0.00836754i | ||||
\(815\) | 22223.6 | + | 14282.3i | 0.955166 | + | 0.613848i | ||||
\(816\) | −448.823 | + | 3121.64i | −0.0192549 | + | 0.133920i | ||||
\(817\) | 771.873 | − | 5368.50i | 0.0330532 | − | 0.229890i | ||||
\(818\) | 20299.4 | + | 13045.7i | 0.867669 | + | 0.557617i | ||||
\(819\) | −2158.23 | − | 2490.74i | −0.0920816 | − | 0.106268i | ||||
\(820\) | −4422.86 | − | 9684.71i | −0.188357 | − | 0.412445i | ||||
\(821\) | −22096.8 | + | 14200.8i | −0.939322 | + | 0.603666i | −0.918203 | − | 0.396111i | \(-0.870360\pi\) |
−0.0211199 | + | 0.999777i | \(0.506723\pi\) | |||||||
\(822\) | −5924.86 | − | 1739.70i | −0.251403 | − | 0.0738186i | ||||
\(823\) | −20738.7 | + | 23933.7i | −0.878377 | + | 1.01370i | 0.121400 | + | 0.992604i | \(0.461261\pi\) |
−0.999777 | + | 0.0210974i | \(0.993284\pi\) | |||||||
\(824\) | −5494.68 | + | 1613.38i | −0.232301 | + | 0.0682098i | ||||
\(825\) | −12.0877 | + | 26.4684i | −0.000510110 | + | 0.00111699i | ||||
\(826\) | −658.319 | − | 4578.71i | −0.0277311 | − | 0.192874i | ||||
\(827\) | −8970.20 | −0.377176 | −0.188588 | − | 0.982056i | \(-0.560391\pi\) | ||||
−0.188588 | + | 0.982056i | \(0.560391\pi\) | |||||||
\(828\) | −3084.48 | + | 2500.88i | −0.129460 | + | 0.104966i | ||||
\(829\) | −3774.06 | −0.158116 | −0.0790582 | − | 0.996870i | \(-0.525191\pi\) | ||||
−0.0790582 | + | 0.996870i | \(0.525191\pi\) | |||||||
\(830\) | 1068.53 | + | 7431.80i | 0.0446858 | + | 0.310797i | ||||
\(831\) | −9563.17 | + | 20940.4i | −0.399209 | + | 0.874145i | ||||
\(832\) | 3435.99 | − | 1008.90i | 0.143175 | − | 0.0420399i | ||||
\(833\) | 12915.1 | − | 14904.9i | 0.537195 | − | 0.619956i | ||||
\(834\) | −9654.35 | − | 2834.77i | −0.400843 | − | 0.117698i | ||||
\(835\) | −14455.3 | + | 9289.86i | −0.599098 | + | 0.385017i | ||||
\(836\) | 228.647 | + | 500.666i | 0.00945923 | + | 0.0207128i | ||||
\(837\) | 4299.23 | + | 4961.57i | 0.177543 | + | 0.204895i | ||||
\(838\) | −15749.0 | − | 10121.3i | −0.649212 | − | 0.417223i | ||||
\(839\) | 5165.49 | − | 35926.7i | 0.212553 | − | 1.47834i | −0.552034 | − | 0.833822i | \(-0.686148\pi\) |
0.764587 | − | 0.644520i | \(-0.222943\pi\) | |||||||
\(840\) | −240.001 | + | 1669.24i | −0.00985811 | + | 0.0685646i | ||||
\(841\) | 4349.74 | + | 2795.41i | 0.178349 | + | 0.114618i | ||||
\(842\) | 3416.96 | + | 3943.38i | 0.139853 | + | 0.161399i | ||||
\(843\) | −8727.47 | − | 19110.5i | −0.356572 | − | 0.780784i | ||||
\(844\) | −12109.6 | + | 7782.37i | −0.493874 | + | 0.317393i | ||||
\(845\) | −9620.24 | − | 2824.76i | −0.391652 | − | 0.114999i | ||||
\(846\) | 3178.58 | − | 3668.27i | 0.129175 | − | 0.149075i | ||||
\(847\) | −8351.65 | + | 2452.26i | −0.338803 | + | 0.0994815i | ||||
\(848\) | 153.199 | − | 335.458i | 0.00620385 | − | 0.0135845i | ||||
\(849\) | 962.589 | + | 6694.95i | 0.0389116 | + | 0.270636i | ||||
\(850\) | 1277.47 | 0.0515493 | ||||||||
\(851\) | −13115.6 | + | 5478.66i | −0.528317 | + | 0.220689i | ||||
\(852\) | −3844.21 | −0.154578 | ||||||||
\(853\) | 2625.46 | + | 18260.5i | 0.105386 | + | 0.732974i | 0.972168 | + | 0.234287i | \(0.0752754\pi\) |
−0.866782 | + | 0.498688i | \(0.833816\pi\) | |||||||
\(854\) | 1353.32 | − | 2963.36i | 0.0542269 | − | 0.118740i | ||||
\(855\) | −12787.2 | + | 3754.67i | −0.511479 | + | 0.150184i | ||||
\(856\) | −4448.90 | + | 5134.30i | −0.177640 | + | 0.205008i | ||||
\(857\) | 42589.1 | + | 12505.3i | 1.69757 | + | 0.498451i | 0.980161 | − | 0.198203i | \(-0.0635107\pi\) |
0.717407 | + | 0.696654i | \(0.245329\pi\) | |||||||
\(858\) | 281.781 | − | 181.090i | 0.0112120 | − | 0.00720549i | ||||
\(859\) | 16949.6 | + | 37114.5i | 0.673240 | + | 1.47419i | 0.869651 | + | 0.493668i | \(0.164344\pi\) |
−0.196411 | + | 0.980522i | \(0.562929\pi\) | |||||||
\(860\) | 1106.01 | + | 1276.41i | 0.0438543 | + | 0.0506106i | ||||
\(861\) | 4094.61 | + | 2631.44i | 0.162072 | + | 0.104157i | ||||
\(862\) | −925.582 | + | 6437.56i | −0.0365724 | + | 0.254367i | ||||
\(863\) | 4316.28 | − | 30020.4i | 0.170252 | − | 1.18413i | −0.708098 | − | 0.706114i | \(-0.750447\pi\) |
0.878351 | − | 0.478017i | \(-0.158644\pi\) | |||||||
\(864\) | −726.843 | − | 467.114i | −0.0286200 | − | 0.0183930i | ||||
\(865\) | −5162.65 | − | 5958.01i | −0.202931 | − | 0.234195i | ||||
\(866\) | −3994.65 | − | 8747.07i | −0.156748 | − | 0.343231i | ||||
\(867\) | −1504.51 | + | 966.891i | −0.0589341 | + | 0.0378747i | ||||
\(868\) | −6107.40 | − | 1793.30i | −0.238824 | − | 0.0701249i | ||||
\(869\) | 724.431 | − | 836.038i | 0.0282792 | − | 0.0326360i | ||||
\(870\) | −10627.1 | + | 3120.41i | −0.414130 | + | 0.121600i | ||||
\(871\) | 14656.2 | − | 32092.6i | 0.570156 | − | 1.24847i | ||||
\(872\) | 91.6275 | + | 637.283i | 0.00355837 | + | 0.0247490i | ||||
\(873\) | 10882.7 | 0.421906 | ||||||||
\(874\) | 30241.5 | − | 3342.77i | 1.17040 | − | 0.129372i | ||||
\(875\) | 9466.47 | 0.365743 | ||||||||
\(876\) | −937.358 | − | 6519.47i | −0.0361534 | − | 0.251452i | ||||
\(877\) | −1511.71 | + | 3310.18i | −0.0582062 | + | 0.127454i | −0.936500 | − | 0.350667i | \(-0.885955\pi\) |
0.878294 | + | 0.478121i | \(0.158682\pi\) | |||||||
\(878\) | 23723.6 | − | 6965.87i | 0.911882 | − | 0.267753i | ||||
\(879\) | 10668.5 | − | 12312.1i | 0.409374 | − | 0.472443i | ||||
\(880\) | −164.452 | − | 48.2876i | −0.00629964 | − | 0.00184974i | ||||
\(881\) | 20086.7 | − | 12908.9i | 0.768146 | − | 0.493658i | −0.0969343 | − | 0.995291i | \(-0.530904\pi\) |
0.865080 | + | 0.501633i | \(0.167267\pi\) | |||||||
\(882\) | 2244.51 | + | 4914.79i | 0.0856876 | + | 0.187630i | ||||
\(883\) | −13808.9 | − | 15936.3i | −0.526281 | − | 0.607360i | 0.428912 | − | 0.903347i | \(-0.358897\pi\) |
−0.955192 | + | 0.295986i | \(0.904352\pi\) | |||||||
\(884\) | −12370.9 | − | 7950.29i | −0.470677 | − | 0.302485i | ||||
\(885\) | −1620.04 | + | 11267.6i | −0.0615332 | + | 0.427973i | ||||
\(886\) | −3400.32 | + | 23649.8i | −0.128935 | + | 0.896760i | ||||
\(887\) | −30846.5 | − | 19823.8i | −1.16767 | − | 0.750416i | −0.194590 | − | 0.980885i | \(-0.562338\pi\) |
−0.973080 | + | 0.230469i | \(0.925974\pi\) | |||||||
\(888\) | −2025.27 | − | 2337.28i | −0.0765355 | − | 0.0883267i | ||||
\(889\) | 5859.59 | + | 12830.7i | 0.221062 | + | 0.484059i | ||||
\(890\) | −9836.96 | + | 6321.83i | −0.370490 | + | 0.238099i | ||||
\(891\) | −77.5409 | − | 22.7681i | −0.00291551 | − | 0.000856071i | ||||
\(892\) | 4620.66 | − | 5332.52i | 0.173443 | − | 0.200164i | ||||
\(893\) | −35683.9 | + | 10477.7i | −1.33719 | + | 0.392636i | ||||
\(894\) | −7357.79 | + | 16111.3i | −0.275259 | + | 0.602732i | ||||
\(895\) | −3640.41 | − | 25319.6i | −0.135962 | − | 0.945633i | ||||
\(896\) | 837.697 | 0.0312338 | ||||||||
\(897\) | −4632.69 | − | 17926.9i | −0.172443 | − | 0.667293i | ||||
\(898\) | 5435.47 | 0.201986 | ||||||||
\(899\) | −5949.45 | − | 41379.3i | −0.220718 | − | 1.53513i | ||||
\(900\) | −145.386 | + | 318.350i | −0.00538466 | + | 0.0117908i | ||||
\(901\) | −1453.04 | + | 426.652i | −0.0537268 | + | 0.0157756i | ||||
\(902\) | −323.944 | + | 373.851i | −0.0119580 | + | 0.0138003i | ||||
\(903\) | −740.828 | − | 217.527i | −0.0273014 | − | 0.00801643i | ||||
\(904\) | 14293.7 | − | 9186.01i | 0.525887 | − | 0.337967i | ||||
\(905\) | 7650.92 | + | 16753.2i | 0.281022 | + | 0.615353i | ||||
\(906\) | −5674.57 | − | 6548.81i | −0.208085 | − | 0.240143i | ||||
\(907\) | −22459.6 | − | 14433.9i | −0.822226 | − | 0.528412i | 0.0605729 | − | 0.998164i | \(-0.480707\pi\) |
−0.882799 | + | 0.469751i | \(0.844344\pi\) | |||||||
\(908\) | 955.792 | − | 6647.68i | 0.0349329 | − | 0.242964i | ||||
\(909\) | −1165.86 | + | 8108.72i | −0.0425403 | + | 0.295874i | ||||
\(910\) | −6615.12 | − | 4251.28i | −0.240977 | − | 0.154867i | ||||
\(911\) | −12511.7 | − | 14439.3i | −0.455028 | − | 0.525131i | 0.481158 | − | 0.876634i | \(-0.340216\pi\) |
−0.936187 | + | 0.351503i | \(0.885671\pi\) | |||||||
\(912\) | 2750.06 | + | 6021.79i | 0.0998504 | + | 0.218642i | ||||
\(913\) | 293.470 | − | 188.602i | 0.0106379 | − | 0.00683659i | ||||
\(914\) | −8803.14 | − | 2584.83i | −0.318580 | − | 0.0935435i | ||||
\(915\) | −5249.97 | + | 6058.78i | −0.189681 | + | 0.218904i | ||||
\(916\) | −21188.6 | + | 6221.52i | −0.764290 | + | 0.224416i | ||||
\(917\) | 2197.53 | − | 4811.93i | 0.0791374 | − | 0.173287i | ||||
\(918\) | 504.926 | + | 3511.84i | 0.0181536 | + | 0.126261i | ||||
\(919\) | 39825.1 | 1.42950 | 0.714748 | − | 0.699382i | \(-0.246541\pi\) | ||||
0.714748 | + | 0.699382i | \(0.246541\pi\) | |||||||
\(920\) | −5380.23 | + | 7798.66i | −0.192805 | + | 0.279472i | ||||
\(921\) | 10504.3 | 0.375819 | ||||||||
\(922\) | 3063.97 | + | 21310.3i | 0.109443 | + | 0.761192i | ||||
\(923\) | 7446.25 | − | 16305.0i | 0.265543 | − | 0.581458i | ||||
\(924\) | 75.1803 | − | 22.0749i | 0.00267668 | − | 0.000785944i | ||||
\(925\) | −820.367 | + | 946.754i | −0.0291605 | + | 0.0336531i | ||||
\(926\) | −29809.0 | − | 8752.70i | −1.05787 | − | 0.310617i | ||||
\(927\) | −5419.76 | + | 3483.07i | −0.192026 | + | 0.123408i | ||||
\(928\) | 2285.50 | + | 5004.55i | 0.0808461 | + | 0.177028i | ||||
\(929\) | 94.7462 | + | 109.343i | 0.00334609 | + | 0.00386160i | 0.757420 | − | 0.652928i | \(-0.226460\pi\) |
−0.754074 | + | 0.656789i | \(0.771914\pi\) | |||||||
\(930\) | 13177.4 | + | 8468.61i | 0.464628 | + | 0.298598i | ||||
\(931\) | 5891.63 | − | 40977.2i | 0.207401 | − | 1.44251i | ||||
\(932\) | 2520.19 | − | 17528.3i | 0.0885747 | − | 0.616050i | ||||
\(933\) | −20259.4 | − | 13019.9i | −0.710893 | − | 0.456863i | ||||
\(934\) | −25521.8 | − | 29453.7i | −0.894110 | − | 1.03186i | ||||
\(935\) | 292.378 | + | 640.218i | 0.0102265 | + | 0.0223929i | ||||
\(936\) | 3389.14 | − | 2178.07i | 0.118352 | − | 0.0760602i | ||||
\(937\) | −46003.2 | − | 13507.8i | −1.60391 | − | 0.470949i | −0.647276 | − | 0.762255i | \(-0.724092\pi\) |
−0.956630 | + | 0.291306i | \(0.905910\pi\) | |||||||
\(938\) | 5404.61 | − | 6237.26i | 0.188131 | − | 0.217115i | ||||
\(939\) | 10675.5 | − | 3134.61i | 0.371013 | − | 0.108939i | ||||
\(940\) | 4810.91 | − | 10534.4i | 0.166931 | − | 0.365527i | ||||
\(941\) | 6604.63 | + | 45936.2i | 0.228804 | + | 1.59137i | 0.703158 | + | 0.711034i | \(0.251773\pi\) |
−0.474354 | + | 0.880334i | \(0.657318\pi\) | |||||||
\(942\) | 2716.41 | 0.0939548 | ||||||||
\(943\) | 14023.6 | + | 23475.3i | 0.484275 | + | 0.810669i | ||||
\(944\) | 5654.57 | 0.194958 | ||||||||
\(945\) | 270.001 | + | 1877.90i | 0.00929431 | + | 0.0646434i | ||||
\(946\) | 32.5982 | − | 71.3801i | 0.00112036 | − | 0.00245324i | ||||
\(947\) | −7417.45 | + | 2177.96i | −0.254524 | + | 0.0747351i | −0.406506 | − | 0.913648i | \(-0.633253\pi\) |
0.151981 | + | 0.988383i | \(0.451435\pi\) | |||||||
\(948\) | 8713.13 | − | 10055.5i | 0.298512 | − | 0.344501i | ||||
\(949\) | 29467.7 | + | 8652.49i | 1.00797 | + | 0.295966i | ||||
\(950\) | 2255.86 | − | 1449.76i | 0.0770420 | − | 0.0495119i | ||||
\(951\) | 2454.45 | + | 5374.49i | 0.0836918 | + | 0.183259i | ||||
\(952\) | −2252.68 | − | 2599.73i | −0.0766910 | − | 0.0885062i | ||||
\(953\) | 41507.4 | + | 26675.2i | 1.41087 | + | 0.906710i | 0.999988 | − | 0.00497884i | \(-0.00158482\pi\) |
0.410881 | + | 0.911689i | \(0.365221\pi\) | |||||||
\(954\) | 59.0439 | − | 410.660i | 0.00200379 | − | 0.0139367i | ||||
\(955\) | −740.032 | + | 5147.04i | −0.0250753 | + | 0.174402i | ||||
\(956\) | 18096.7 | + | 11630.0i | 0.612227 | + | 0.393455i | ||||
\(957\) | 336.995 | + | 388.913i | 0.0113830 | + | 0.0131366i | ||||
\(958\) | 10504.7 | + | 23002.1i | 0.354272 | + | 0.775746i | ||||
\(959\) | 5666.17 | − | 3641.42i | 0.190793 | − | 0.122615i | ||||
\(960\) | −1977.96 | − | 580.781i | −0.0664982 | − | 0.0195256i | ||||
\(961\) | −19208.3 | + | 22167.6i | −0.644769 | + | 0.744103i | ||||
\(962\) | 13836.4 | − | 4062.74i | 0.463726 | − | 0.136162i | ||||
\(963\) | −3174.96 | + | 6952.19i | −0.106243 | + | 0.232639i | ||||
\(964\) | −1445.29 | − | 10052.2i | −0.0482881 | − | 0.335851i | ||||
\(965\) | 25388.3 | 0.846921 | ||||||||
\(966\) | 141.655 | − | 4329.00i | 0.00471808 | − | 0.144186i | ||||
\(967\) | 53319.4 | 1.77315 | 0.886575 | − | 0.462586i | \(-0.153078\pi\) | ||||
0.886575 | + | 0.462586i | \(0.153078\pi\) | |||||||
\(968\) | −1514.24 | − | 10531.7i | −0.0502783 | − | 0.349693i | ||||
\(969\) | 11292.9 | − | 24728.0i | 0.374387 | − | 0.819793i | ||||
\(970\) | 24913.8 | − | 7315.36i | 0.824675 | − | 0.242146i | ||||
\(971\) | 10153.0 | − | 11717.2i | 0.335558 | − | 0.387254i | −0.562746 | − | 0.826630i | \(-0.690255\pi\) |
0.898303 | + | 0.439376i | \(0.144800\pi\) | |||||||
\(972\) | −932.627 | − | 273.844i | −0.0307758 | − | 0.00903658i | ||||
\(973\) | 9232.81 | − | 5933.57i | 0.304204 | − | 0.195500i | ||||
\(974\) | −15349.3 | − | 33610.2i | −0.504951 | − | 1.10569i | ||||
\(975\) | −1068.65 | − | 1233.29i | −0.0351019 | − | 0.0405097i | ||||
\(976\) | 3350.11 | + | 2152.99i | 0.109871 | + | 0.0706100i | ||||
\(977\) | −1720.62 | + | 11967.2i | −0.0563433 | + | 0.391876i | 0.942063 | + | 0.335437i | \(0.108884\pi\) |
−0.998406 | + | 0.0564395i | \(0.982025\pi\) | |||||||
\(978\) | 2100.95 | − | 14612.4i | 0.0686922 | − | 0.477765i | ||||
\(979\) | 457.047 | + | 293.726i | 0.0149206 | + | 0.00958891i | ||||
\(980\) | 8442.08 | + | 9742.68i | 0.275176 | + | 0.317570i | ||||
\(981\) | 300.892 | + | 658.861i | 0.00979280 | + | 0.0214432i | ||||
\(982\) | 21026.9 | − | 13513.2i | 0.683295 | − | 0.439127i | ||||
\(983\) | 29067.6 | + | 8535.01i | 0.943146 | + | 0.276933i | 0.716930 | − | 0.697145i | \(-0.245547\pi\) |
0.226215 | + | 0.974077i | \(0.427365\pi\) | |||||||
\(984\) | −3896.25 | + | 4496.51i | −0.126228 | + | 0.145674i | ||||
\(985\) | −36032.4 | + | 10580.1i | −1.16557 | + | 0.342243i | ||||
\(986\) | 9385.23 | − | 20550.8i | 0.303131 | − | 0.663763i | ||||
\(987\) | 753.459 | + | 5240.43i | 0.0242988 | + | 0.169002i | ||||
\(988\) | −30868.0 | −0.993970 | ||||||||
\(989\) | −3183.63 | − | 2946.35i | −0.102359 | − | 0.0947304i | ||||
\(990\) | −192.819 | −0.00619010 | ||||||||
\(991\) | 5848.70 | + | 40678.6i | 0.187477 | + | 1.30393i | 0.838511 | + | 0.544884i | \(0.183426\pi\) |
−0.651034 | + | 0.759049i | \(0.725664\pi\) | |||||||
\(992\) | 3232.29 | − | 7077.72i | 0.103453 | − | 0.226530i | ||||
\(993\) | −25348.6 | + | 7443.01i | −0.810083 | + | 0.237862i | ||||
\(994\) | 2745.88 | − | 3168.91i | 0.0876197 | − | 0.101119i | ||||
\(995\) | 20772.6 | + | 6099.39i | 0.661845 | + | 0.194335i | ||||
\(996\) | 3529.73 | − | 2268.42i | 0.112293 | − | 0.0721662i | ||||
\(997\) | 14632.2 | + | 32040.0i | 0.464800 | + | 1.01777i | 0.986367 | + | 0.164559i | \(0.0526202\pi\) |
−0.521567 | + | 0.853210i | \(0.674652\pi\) | |||||||
\(998\) | 25789.2 | + | 29762.3i | 0.817980 | + | 0.943999i | ||||
\(999\) | −2926.93 | − | 1881.03i | −0.0926968 | − | 0.0595726i |
(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 | 138.4.e.c.49.1 | yes | 30 | |
23.8 | even | 11 | inner | 138.4.e.c.31.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.4.e.c.31.1 | ✓ | 30 | 23.8 | even | 11 | inner | |
138.4.e.c.49.1 | yes | 30 | 1.1 | even | 1 | trivial |