Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,4,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (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: | \(13.5704393013\) |
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 | 41.1 | ||
Character | \(\chi\) | \(=\) | 230.41 |
Dual form | 230.4.g.b.101.1 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.91899 | + | 0.563465i | 0.678464 | + | 0.199215i | ||||
\(3\) | −4.61458 | + | 5.32551i | −0.888077 | + | 1.02489i | 0.111439 | + | 0.993771i | \(0.464454\pi\) |
−0.999516 | + | 0.0311237i | \(0.990091\pi\) | |||||||
\(4\) | 3.36501 | + | 2.16256i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.711574 | + | 4.94911i | −0.0636451 | + | 0.442662i | ||||
\(6\) | −11.8561 | + | 7.61942i | −0.806702 | + | 0.518436i | ||||
\(7\) | 10.2472 | + | 22.4383i | 0.553298 | + | 1.21155i | 0.955225 | + | 0.295881i | \(0.0956133\pi\) |
−0.401927 | + | 0.915672i | \(0.631659\pi\) | |||||||
\(8\) | 5.23889 | + | 6.04600i | 0.231528 | + | 0.267198i | ||||
\(9\) | −3.22420 | − | 22.4248i | −0.119415 | − | 0.830549i | ||||
\(10\) | −4.15415 | + | 9.09632i | −0.131366 | + | 0.287651i | ||||
\(11\) | −2.47957 | + | 0.728066i | −0.0679652 | + | 0.0199564i | −0.315538 | − | 0.948913i | \(-0.602185\pi\) |
0.247573 | + | 0.968869i | \(0.420367\pi\) | |||||||
\(12\) | −27.0449 | + | 7.94109i | −0.650599 | + | 0.191033i | ||||
\(13\) | −2.22139 | + | 4.86418i | −0.0473926 | + | 0.103775i | −0.931847 | − | 0.362851i | \(-0.881803\pi\) |
0.884455 | + | 0.466626i | \(0.154531\pi\) | |||||||
\(14\) | 7.02108 | + | 48.8327i | 0.134033 | + | 0.932220i | ||||
\(15\) | −23.0729 | − | 26.6276i | −0.397160 | − | 0.458347i | ||||
\(16\) | 6.64664 | + | 14.5541i | 0.103854 | + | 0.227408i | ||||
\(17\) | −16.7875 | + | 10.7886i | −0.239503 | + | 0.153919i | −0.654887 | − | 0.755727i | \(-0.727284\pi\) |
0.415384 | + | 0.909646i | \(0.363647\pi\) | |||||||
\(18\) | 6.44841 | − | 44.8496i | 0.0844391 | − | 0.587287i | ||||
\(19\) | −22.8522 | − | 14.6862i | −0.275930 | − | 0.177329i | 0.395356 | − | 0.918528i | \(-0.370621\pi\) |
−0.671286 | + | 0.741199i | \(0.734258\pi\) | |||||||
\(20\) | −13.0972 | + | 15.1150i | −0.146431 | + | 0.168991i | ||||
\(21\) | −166.782 | − | 48.9716i | −1.73309 | − | 0.508880i | ||||
\(22\) | −5.16849 | −0.0500875 | ||||||||
\(23\) | 63.7291 | − | 90.0311i | 0.577758 | − | 0.816208i | ||||
\(24\) | −56.3733 | −0.479465 | ||||||||
\(25\) | −23.9873 | − | 7.04331i | −0.191899 | − | 0.0563465i | ||||
\(26\) | −7.00362 | + | 8.08261i | −0.0528278 | + | 0.0609665i | ||||
\(27\) | −25.7548 | − | 16.5516i | −0.183574 | − | 0.117976i | ||||
\(28\) | −14.0422 | + | 97.6654i | −0.0947757 | + | 0.659179i | ||||
\(29\) | −187.429 | + | 120.453i | −1.20016 | + | 0.771296i | −0.978984 | − | 0.203938i | \(-0.934626\pi\) |
−0.221176 | + | 0.975234i | \(0.570990\pi\) | |||||||
\(30\) | −29.2729 | − | 64.0987i | −0.178149 | − | 0.390092i | ||||
\(31\) | −94.2181 | − | 108.734i | −0.545873 | − | 0.629971i | 0.414043 | − | 0.910257i | \(-0.364116\pi\) |
−0.959917 | + | 0.280286i | \(0.909571\pi\) | |||||||
\(32\) | 4.55407 | + | 31.6743i | 0.0251579 | + | 0.174977i | ||||
\(33\) | 7.56483 | − | 16.5647i | 0.0399051 | − | 0.0873800i | ||||
\(34\) | −38.2939 | + | 11.2441i | −0.193157 | + | 0.0567162i | ||||
\(35\) | −118.341 | + | 34.7481i | −0.571523 | + | 0.167814i | ||||
\(36\) | 37.6456 | − | 82.4324i | 0.174285 | − | 0.381631i | ||||
\(37\) | 54.9345 | + | 382.078i | 0.244086 | + | 1.69765i | 0.631198 | + | 0.775622i | \(0.282564\pi\) |
−0.387112 | + | 0.922033i | \(0.626527\pi\) | |||||||
\(38\) | −35.5779 | − | 41.0591i | −0.151882 | − | 0.175281i | ||||
\(39\) | −15.6534 | − | 34.2762i | −0.0642706 | − | 0.140733i | ||||
\(40\) | −33.6501 | + | 21.6256i | −0.133014 | + | 0.0854828i | ||||
\(41\) | 18.6734 | − | 129.877i | 0.0711292 | − | 0.494715i | −0.922851 | − | 0.385157i | \(-0.874147\pi\) |
0.993980 | − | 0.109558i | \(-0.0349435\pi\) | |||||||
\(42\) | −292.458 | − | 187.952i | −1.07446 | − | 0.690513i | ||||
\(43\) | 214.474 | − | 247.516i | 0.760626 | − | 0.877809i | −0.234927 | − | 0.972013i | \(-0.575485\pi\) |
0.995553 | + | 0.0942039i | \(0.0300306\pi\) | |||||||
\(44\) | −9.91826 | − | 2.91226i | −0.0339826 | − | 0.00997819i | ||||
\(45\) | 113.277 | 0.375252 | ||||||||
\(46\) | 173.025 | − | 136.859i | 0.554589 | − | 0.438670i | ||||
\(47\) | 45.1359 | 0.140080 | 0.0700399 | − | 0.997544i | \(-0.477687\pi\) | ||||
0.0700399 | + | 0.997544i | \(0.477687\pi\) | |||||||
\(48\) | −108.180 | − | 31.7644i | −0.325299 | − | 0.0955165i | ||||
\(49\) | −173.854 | + | 200.638i | −0.506862 | + | 0.584949i | ||||
\(50\) | −42.0627 | − | 27.0320i | −0.118971 | − | 0.0764582i | ||||
\(51\) | 20.0121 | − | 139.187i | 0.0549460 | − | 0.382158i | ||||
\(52\) | −17.9941 | + | 11.5641i | −0.0479872 | + | 0.0308395i | ||||
\(53\) | −80.2516 | − | 175.727i | −0.207989 | − | 0.455432i | 0.776673 | − | 0.629904i | \(-0.216906\pi\) |
−0.984662 | + | 0.174471i | \(0.944178\pi\) | |||||||
\(54\) | −40.0968 | − | 46.2742i | −0.101046 | − | 0.116613i | ||||
\(55\) | −1.83888 | − | 12.7897i | −0.00450827 | − | 0.0313557i | ||||
\(56\) | −81.9777 | + | 179.506i | −0.195620 | + | 0.428349i | ||||
\(57\) | 183.665 | − | 53.9290i | 0.426790 | − | 0.125317i | ||||
\(58\) | −427.544 | + | 125.538i | −0.967919 | + | 0.284207i | ||||
\(59\) | −168.667 | + | 369.330i | −0.372180 | + | 0.814960i | 0.627169 | + | 0.778883i | \(0.284213\pi\) |
−0.999349 | + | 0.0360767i | \(0.988514\pi\) | |||||||
\(60\) | −20.0569 | − | 139.499i | −0.0431555 | − | 0.300153i | ||||
\(61\) | 267.238 | + | 308.409i | 0.560923 | + | 0.647339i | 0.963393 | − | 0.268094i | \(-0.0863938\pi\) |
−0.402470 | + | 0.915433i | \(0.631848\pi\) | |||||||
\(62\) | −119.536 | − | 261.747i | −0.244856 | − | 0.536159i | ||||
\(63\) | 470.135 | − | 302.138i | 0.940182 | − | 0.604218i | ||||
\(64\) | −9.10815 | + | 63.3486i | −0.0177894 | + | 0.123728i | ||||
\(65\) | −22.4926 | − | 14.4551i | −0.0429211 | − | 0.0275837i | ||||
\(66\) | 23.8504 | − | 27.5249i | 0.0444816 | − | 0.0513345i | ||||
\(67\) | 596.175 | + | 175.053i | 1.08708 | + | 0.319195i | 0.775707 | − | 0.631093i | \(-0.217393\pi\) |
0.311372 | + | 0.950288i | \(0.399211\pi\) | |||||||
\(68\) | −79.8212 | −0.142349 | ||||||||
\(69\) | 185.379 | + | 754.846i | 0.323434 | + | 1.31700i | ||||
\(70\) | −246.674 | −0.421189 | ||||||||
\(71\) | 678.499 | + | 199.225i | 1.13413 | + | 0.333010i | 0.794329 | − | 0.607488i | \(-0.207823\pi\) |
0.339799 | + | 0.940498i | \(0.389641\pi\) | |||||||
\(72\) | 118.689 | − | 136.975i | 0.194273 | − | 0.224203i | ||||
\(73\) | 500.556 | + | 321.688i | 0.802544 | + | 0.515764i | 0.876445 | − | 0.481502i | \(-0.159909\pi\) |
−0.0739012 | + | 0.997266i | \(0.523545\pi\) | |||||||
\(74\) | −109.869 | + | 764.156i | −0.172595 | + | 1.20042i | ||||
\(75\) | 148.201 | − | 95.2428i | 0.228170 | − | 0.146636i | ||||
\(76\) | −45.1382 | − | 98.8388i | −0.0681277 | − | 0.149179i | ||||
\(77\) | −41.7452 | − | 48.1765i | −0.0617832 | − | 0.0713016i | ||||
\(78\) | −10.7252 | − | 74.5957i | −0.0155692 | − | 0.108286i | ||||
\(79\) | −324.665 | + | 710.918i | −0.462376 | + | 1.01246i | 0.524563 | + | 0.851371i | \(0.324229\pi\) |
−0.986940 | + | 0.161091i | \(0.948499\pi\) | |||||||
\(80\) | −76.7594 | + | 22.5386i | −0.107275 | + | 0.0314987i | ||||
\(81\) | 793.912 | − | 233.113i | 1.08904 | − | 0.319772i | ||||
\(82\) | 109.015 | − | 238.709i | 0.146813 | − | 0.321476i | ||||
\(83\) | 51.4097 | + | 357.562i | 0.0679873 | + | 0.472862i | 0.995163 | + | 0.0982357i | \(0.0313199\pi\) |
−0.927176 | + | 0.374626i | \(0.877771\pi\) | |||||||
\(84\) | −455.319 | − | 525.466i | −0.591422 | − | 0.682537i | ||||
\(85\) | −41.4486 | − | 90.7599i | −0.0528910 | − | 0.115815i | ||||
\(86\) | 551.038 | − | 354.131i | 0.690930 | − | 0.444034i | ||||
\(87\) | 223.431 | − | 1553.99i | 0.275337 | − | 1.91501i | ||||
\(88\) | −17.3920 | − | 11.1772i | −0.0210682 | − | 0.0135397i | ||||
\(89\) | −301.146 | + | 347.541i | −0.358668 | + | 0.413925i | −0.906193 | − | 0.422865i | \(-0.861025\pi\) |
0.547525 | + | 0.836789i | \(0.315570\pi\) | |||||||
\(90\) | 217.377 | + | 63.8277i | 0.254595 | + | 0.0747559i | ||||
\(91\) | −131.907 | −0.151952 | ||||||||
\(92\) | 409.147 | − | 165.138i | 0.463658 | − | 0.187139i | ||||
\(93\) | 1013.84 | 1.13043 | ||||||||
\(94\) | 86.6152 | + | 25.4325i | 0.0950392 | + | 0.0279060i | ||||
\(95\) | 88.9448 | − | 102.648i | 0.0960584 | − | 0.110857i | ||||
\(96\) | −189.697 | − | 121.911i | −0.201676 | − | 0.129609i | ||||
\(97\) | −69.3341 | + | 482.229i | −0.0725753 | + | 0.504772i | 0.920816 | + | 0.389997i | \(0.127524\pi\) |
−0.993391 | + | 0.114775i | \(0.963385\pi\) | |||||||
\(98\) | −446.675 | + | 287.060i | −0.460418 | + | 0.295893i | ||||
\(99\) | 24.3214 | + | 53.2564i | 0.0246908 | + | 0.0540653i | ||||
\(100\) | −65.4861 | − | 75.5750i | −0.0654861 | − | 0.0755750i | ||||
\(101\) | 73.4359 | + | 510.758i | 0.0723480 | + | 0.503191i | 0.993486 | + | 0.113955i | \(0.0363519\pi\) |
−0.921138 | + | 0.389236i | \(0.872739\pi\) | |||||||
\(102\) | 116.830 | − | 255.822i | 0.113411 | − | 0.248334i | ||||
\(103\) | −752.865 | + | 221.061i | −0.720214 | + | 0.211474i | −0.621245 | − | 0.783617i | \(-0.713373\pi\) |
−0.0989690 | + | 0.995091i | \(0.531554\pi\) | |||||||
\(104\) | −41.0464 | + | 12.0523i | −0.0387013 | + | 0.0113637i | ||||
\(105\) | 361.043 | − | 790.575i | 0.335564 | − | 0.734783i | ||||
\(106\) | −54.9860 | − | 382.436i | −0.0503841 | − | 0.350429i | ||||
\(107\) | −844.122 | − | 974.169i | −0.762658 | − | 0.880154i | 0.233073 | − | 0.972459i | \(-0.425122\pi\) |
−0.995731 | + | 0.0923055i | \(0.970576\pi\) | |||||||
\(108\) | −50.8713 | − | 111.393i | −0.0453250 | − | 0.0992478i | ||||
\(109\) | 111.888 | − | 71.9057i | 0.0983200 | − | 0.0631864i | −0.490557 | − | 0.871409i | \(-0.663207\pi\) |
0.588877 | + | 0.808223i | \(0.299570\pi\) | |||||||
\(110\) | 3.67776 | − | 25.5794i | 0.00318783 | − | 0.0221718i | ||||
\(111\) | −2288.26 | − | 1470.58i | −1.95668 | − | 1.25748i | ||||
\(112\) | −258.460 | + | 298.278i | −0.218055 | + | 0.251649i | ||||
\(113\) | 1522.20 | + | 446.959i | 1.26723 | + | 0.372092i | 0.845180 | − | 0.534482i | \(-0.179493\pi\) |
0.422048 | + | 0.906574i | \(0.361311\pi\) | |||||||
\(114\) | 382.838 | 0.314527 | ||||||||
\(115\) | 400.226 | + | 379.466i | 0.324532 | + | 0.307699i | ||||
\(116\) | −891.188 | −0.713316 | ||||||||
\(117\) | 116.241 | + | 34.1313i | 0.0918499 | + | 0.0269696i | ||||
\(118\) | −531.774 | + | 613.700i | −0.414863 | + | 0.478777i | ||||
\(119\) | −414.103 | − | 266.128i | −0.318998 | − | 0.205008i | ||||
\(120\) | 40.1138 | − | 278.997i | 0.0305156 | − | 0.212241i | ||||
\(121\) | −1114.09 | + | 715.982i | −0.837033 | + | 0.537928i | ||||
\(122\) | 339.048 | + | 742.411i | 0.251606 | + | 0.550940i | ||||
\(123\) | 605.489 | + | 698.771i | 0.443862 | + | 0.512245i | ||||
\(124\) | −81.9022 | − | 569.642i | −0.0593148 | − | 0.412544i | ||||
\(125\) | 51.9269 | − | 113.704i | 0.0371558 | − | 0.0813600i | ||||
\(126\) | 1072.43 | − | 314.893i | 0.758249 | − | 0.222642i | ||||
\(127\) | −292.001 | + | 85.7394i | −0.204023 | + | 0.0599066i | −0.382147 | − | 0.924101i | \(-0.624815\pi\) |
0.178124 | + | 0.984008i | \(0.442997\pi\) | |||||||
\(128\) | −53.1731 | + | 116.433i | −0.0367178 | + | 0.0804009i | ||||
\(129\) | 328.442 | + | 2284.36i | 0.224168 | + | 1.55912i | ||||
\(130\) | −35.0181 | − | 40.4130i | −0.0236253 | − | 0.0272651i | ||||
\(131\) | −930.577 | − | 2037.68i | −0.620648 | − | 1.35903i | −0.915047 | − | 0.403347i | \(-0.867847\pi\) |
0.294399 | − | 0.955683i | \(-0.404881\pi\) | |||||||
\(132\) | 61.2779 | − | 39.3809i | 0.0404057 | − | 0.0259672i | ||||
\(133\) | 95.3621 | − | 663.258i | 0.0621725 | − | 0.432419i | ||||
\(134\) | 1045.41 | + | 671.847i | 0.673956 | + | 0.433125i | ||||
\(135\) | 100.242 | − | 115.685i | 0.0639071 | − | 0.0737527i | ||||
\(136\) | −153.176 | − | 44.9764i | −0.0965787 | − | 0.0283581i | ||||
\(137\) | 1948.60 | 1.21518 | 0.607592 | − | 0.794249i | \(-0.292136\pi\) | ||||
0.607592 | + | 0.794249i | \(0.292136\pi\) | |||||||
\(138\) | −69.5904 | + | 1552.99i | −0.0429270 | + | 0.957968i | ||||
\(139\) | 944.655 | 0.576436 | 0.288218 | − | 0.957565i | \(-0.406937\pi\) | ||||
0.288218 | + | 0.957565i | \(0.406937\pi\) | |||||||
\(140\) | −473.364 | − | 138.992i | −0.285761 | − | 0.0839071i | ||||
\(141\) | −208.283 | + | 240.372i | −0.124402 | + | 0.143567i | ||||
\(142\) | 1189.77 | + | 764.622i | 0.703124 | + | 0.451871i | ||||
\(143\) | 1.96665 | − | 13.6784i | 0.00115007 | − | 0.00799890i | ||||
\(144\) | 304.943 | − | 195.975i | 0.176472 | − | 0.113412i | ||||
\(145\) | −462.766 | − | 1013.32i | −0.265039 | − | 0.580354i | ||||
\(146\) | 779.301 | + | 899.361i | 0.441749 | + | 0.509806i | ||||
\(147\) | −266.237 | − | 1851.72i | −0.149380 | − | 1.03896i | ||||
\(148\) | −641.412 | + | 1404.50i | −0.356242 | + | 0.780060i | ||||
\(149\) | 748.792 | − | 219.865i | 0.411701 | − | 0.120886i | −0.0693220 | − | 0.997594i | \(-0.522084\pi\) |
0.481023 | + | 0.876708i | \(0.340265\pi\) | |||||||
\(150\) | 338.061 | − | 99.2637i | 0.184017 | − | 0.0540323i | ||||
\(151\) | 458.903 | − | 1004.86i | 0.247318 | − | 0.541551i | −0.744737 | − | 0.667358i | \(-0.767425\pi\) |
0.992055 | + | 0.125808i | \(0.0401522\pi\) | |||||||
\(152\) | −30.9273 | − | 215.104i | −0.0165035 | − | 0.114784i | ||||
\(153\) | 296.060 | + | 341.671i | 0.156438 | + | 0.180539i | ||||
\(154\) | −52.9627 | − | 115.972i | −0.0277133 | − | 0.0606837i | ||||
\(155\) | 605.177 | − | 388.924i | 0.313606 | − | 0.201543i | ||||
\(156\) | 21.4505 | − | 149.191i | 0.0110091 | − | 0.0765697i | ||||
\(157\) | −2576.57 | − | 1655.86i | −1.30976 | − | 0.841734i | −0.315524 | − | 0.948918i | \(-0.602180\pi\) |
−0.994239 | + | 0.107184i | \(0.965817\pi\) | |||||||
\(158\) | −1023.61 | + | 1181.30i | −0.515403 | + | 0.594807i | ||||
\(159\) | 1306.16 | + | 383.524i | 0.651480 | + | 0.191292i | ||||
\(160\) | −160.000 | −0.0790569 | ||||||||
\(161\) | 2673.19 | + | 507.403i | 1.30855 | + | 0.248378i | ||||
\(162\) | 1654.86 | 0.802579 | ||||||||
\(163\) | 1572.74 | + | 461.797i | 0.755744 | + | 0.221907i | 0.636837 | − | 0.770999i | \(-0.280243\pi\) |
0.118908 | + | 0.992905i | \(0.462061\pi\) | |||||||
\(164\) | 343.703 | − | 396.654i | 0.163650 | − | 0.188863i | ||||
\(165\) | 76.5974 | + | 49.2262i | 0.0361400 | + | 0.0232258i | ||||
\(166\) | −102.819 | + | 715.124i | −0.0480743 | + | 0.334364i | ||||
\(167\) | 213.224 | − | 137.031i | 0.0988010 | − | 0.0634955i | −0.490307 | − | 0.871550i | \(-0.663115\pi\) |
0.589108 | + | 0.808054i | \(0.299479\pi\) | |||||||
\(168\) | −577.669 | − | 1264.92i | −0.265287 | − | 0.580897i | ||||
\(169\) | 1420.00 | + | 1638.77i | 0.646337 | + | 0.745913i | ||||
\(170\) | −28.3993 | − | 197.522i | −0.0128125 | − | 0.0891131i | ||||
\(171\) | −255.656 | + | 559.809i | −0.114330 | + | 0.250349i | ||||
\(172\) | 1256.98 | − | 369.081i | 0.557229 | − | 0.163617i | ||||
\(173\) | −1389.27 | + | 407.926i | −0.610544 | + | 0.179272i | −0.572365 | − | 0.819999i | \(-0.693974\pi\) |
−0.0381791 | + | 0.999271i | \(0.512156\pi\) | |||||||
\(174\) | 1304.38 | − | 2856.20i | 0.568304 | − | 1.24441i | ||||
\(175\) | −87.7635 | − | 610.409i | −0.0379103 | − | 0.263672i | ||||
\(176\) | −27.0771 | − | 31.2487i | −0.0115967 | − | 0.0133833i | ||||
\(177\) | −1188.54 | − | 2602.54i | −0.504724 | − | 1.10519i | ||||
\(178\) | −773.723 | + | 497.241i | −0.325803 | + | 0.209381i | ||||
\(179\) | −523.361 | + | 3640.06i | −0.218535 | + | 1.51995i | 0.524914 | + | 0.851155i | \(0.324097\pi\) |
−0.743450 | + | 0.668792i | \(0.766812\pi\) | |||||||
\(180\) | 381.179 | + | 244.969i | 0.157841 | + | 0.101438i | ||||
\(181\) | −2877.65 | + | 3320.98i | −1.18173 | + | 1.36379i | −0.265022 | + | 0.964242i | \(0.585379\pi\) |
−0.916711 | + | 0.399550i | \(0.869166\pi\) | |||||||
\(182\) | −253.127 | − | 74.3249i | −0.103094 | − | 0.0302710i | ||||
\(183\) | −2875.62 | −1.16160 | ||||||||
\(184\) | 878.197 | − | 86.3569i | 0.351856 | − | 0.0345995i | ||||
\(185\) | −1930.03 | −0.767021 | ||||||||
\(186\) | 1945.54 | + | 571.263i | 0.766957 | + | 0.225199i | ||||
\(187\) | 33.7708 | − | 38.9735i | 0.0132062 | − | 0.0152408i | ||||
\(188\) | 151.883 | + | 97.6093i | 0.0589213 | + | 0.0378665i | ||||
\(189\) | 107.474 | − | 747.500i | 0.0413630 | − | 0.287686i | ||||
\(190\) | 228.522 | − | 146.862i | 0.0872566 | − | 0.0560764i | ||||
\(191\) | −938.249 | − | 2054.48i | −0.355441 | − | 0.778308i | −0.999907 | − | 0.0136743i | \(-0.995647\pi\) |
0.644465 | − | 0.764634i | \(-0.277080\pi\) | |||||||
\(192\) | −295.333 | − | 340.833i | −0.111010 | − | 0.128112i | ||||
\(193\) | 120.409 | + | 837.465i | 0.0449080 | + | 0.312342i | 0.999878 | + | 0.0156388i | \(0.00497819\pi\) |
−0.954970 | + | 0.296703i | \(0.904113\pi\) | |||||||
\(194\) | −404.770 | + | 886.323i | −0.149798 | + | 0.328012i | ||||
\(195\) | 180.775 | − | 53.0804i | 0.0663876 | − | 0.0194931i | ||||
\(196\) | −1018.91 | + | 299.179i | −0.371323 | + | 0.109030i | ||||
\(197\) | −1623.46 | + | 3554.88i | −0.587141 | + | 1.28566i | 0.350014 | + | 0.936744i | \(0.386177\pi\) |
−0.937155 | + | 0.348914i | \(0.886550\pi\) | |||||||
\(198\) | 16.6643 | + | 115.903i | 0.00598120 | + | 0.0416002i | ||||
\(199\) | −1653.22 | − | 1907.92i | −0.588913 | − | 0.679642i | 0.380584 | − | 0.924746i | \(-0.375723\pi\) |
−0.969497 | + | 0.245105i | \(0.921178\pi\) | |||||||
\(200\) | −83.0830 | − | 181.926i | −0.0293743 | − | 0.0643207i | ||||
\(201\) | −3683.34 | + | 2367.14i | −1.29255 | + | 0.830672i | ||||
\(202\) | −146.872 | + | 1021.52i | −0.0511577 | + | 0.355810i | ||||
\(203\) | −4623.38 | − | 2971.27i | −1.59851 | − | 1.02730i | ||||
\(204\) | 368.341 | − | 425.089i | 0.126417 | − | 0.145893i | ||||
\(205\) | 629.485 | + | 184.834i | 0.214464 | + | 0.0629724i | ||||
\(206\) | −1569.30 | −0.530768 | ||||||||
\(207\) | −2224.41 | − | 1138.84i | −0.746894 | − | 0.382389i | ||||
\(208\) | −85.5586 | −0.0285212 | ||||||||
\(209\) | 67.3562 | + | 19.7776i | 0.0222925 | + | 0.00654566i | ||||
\(210\) | 1138.30 | − | 1313.67i | 0.374048 | − | 0.431674i | ||||
\(211\) | 2524.98 | + | 1622.71i | 0.823823 | + | 0.529439i | 0.883310 | − | 0.468790i | \(-0.155310\pi\) |
−0.0594864 | + | 0.998229i | \(0.518946\pi\) | |||||||
\(212\) | 109.972 | − | 764.872i | 0.0356269 | − | 0.247791i | ||||
\(213\) | −4191.97 | + | 2694.01i | −1.34849 | + | 0.866624i | ||||
\(214\) | −1070.95 | − | 2345.05i | −0.342096 | − | 0.749085i | ||||
\(215\) | 1072.37 | + | 1237.58i | 0.340162 | + | 0.392568i | ||||
\(216\) | −34.8555 | − | 242.425i | −0.0109797 | − | 0.0763655i | ||||
\(217\) | 1474.32 | − | 3228.31i | 0.461213 | − | 1.00992i | ||||
\(218\) | 255.227 | − | 74.9414i | 0.0792943 | − | 0.0232829i | ||||
\(219\) | −4023.01 | + | 1181.26i | −1.24132 | + | 0.364486i | ||||
\(220\) | 21.4707 | − | 47.0143i | 0.00657979 | − | 0.0144077i | ||||
\(221\) | −15.1863 | − | 105.623i | −0.00462236 | − | 0.0321492i | ||||
\(222\) | −3562.52 | − | 4111.37i | −1.07703 | − | 1.24296i | ||||
\(223\) | −387.674 | − | 848.888i | −0.116415 | − | 0.254914i | 0.842451 | − | 0.538774i | \(-0.181112\pi\) |
−0.958866 | + | 0.283860i | \(0.908385\pi\) | |||||||
\(224\) | −664.050 | + | 426.759i | −0.198075 | + | 0.127295i | ||||
\(225\) | −80.6051 | + | 560.621i | −0.0238830 | + | 0.166110i | ||||
\(226\) | 2669.24 | + | 1715.42i | 0.785642 | + | 0.504901i | ||||
\(227\) | 1421.21 | − | 1640.16i | 0.415546 | − | 0.479566i | −0.508929 | − | 0.860809i | \(-0.669958\pi\) |
0.924475 | + | 0.381243i | \(0.124504\pi\) | |||||||
\(228\) | 734.661 | + | 215.716i | 0.213395 | + | 0.0626585i | ||||
\(229\) | 1326.31 | 0.382730 | 0.191365 | − | 0.981519i | \(-0.438709\pi\) | ||||
0.191365 | + | 0.981519i | \(0.438709\pi\) | |||||||
\(230\) | 554.212 | + | 953.703i | 0.158885 | + | 0.273414i | ||||
\(231\) | 449.201 | 0.127945 | ||||||||
\(232\) | −1710.18 | − | 502.153i | −0.483960 | − | 0.142103i | ||||
\(233\) | 3556.45 | − | 4104.36i | 0.999961 | − | 1.15402i | 0.0119036 | − | 0.999929i | \(-0.496211\pi\) |
0.988057 | − | 0.154087i | \(-0.0492437\pi\) | |||||||
\(234\) | 203.832 | + | 130.995i | 0.0569441 | + | 0.0365958i | ||||
\(235\) | −32.1176 | + | 223.383i | −0.00891540 | + | 0.0620080i | ||||
\(236\) | −1366.27 | + | 878.046i | −0.376849 | + | 0.242186i | ||||
\(237\) | −2287.81 | − | 5009.60i | −0.627042 | − | 1.37303i | ||||
\(238\) | −644.705 | − | 744.029i | −0.175588 | − | 0.202640i | ||||
\(239\) | −352.212 | − | 2449.69i | −0.0953250 | − | 0.663000i | −0.980322 | − | 0.197404i | \(-0.936749\pi\) |
0.884997 | − | 0.465596i | \(-0.154160\pi\) | |||||||
\(240\) | 234.183 | − | 512.789i | 0.0629852 | − | 0.137918i | ||||
\(241\) | −701.244 | + | 205.904i | −0.187432 | + | 0.0550350i | −0.374101 | − | 0.927388i | \(-0.622049\pi\) |
0.186669 | + | 0.982423i | \(0.440231\pi\) | |||||||
\(242\) | −2541.35 | + | 746.209i | −0.675060 | + | 0.198215i | ||||
\(243\) | −2078.74 | + | 4551.81i | −0.548770 | + | 1.20164i | ||||
\(244\) | 232.305 | + | 1615.72i | 0.0609501 | + | 0.423917i | ||||
\(245\) | −869.268 | − | 1003.19i | −0.226675 | − | 0.261597i | ||||
\(246\) | 768.191 | + | 1682.10i | 0.199098 | + | 0.435964i | ||||
\(247\) | 122.200 | − | 78.5333i | 0.0314794 | − | 0.0202306i | ||||
\(248\) | 163.804 | − | 1139.28i | 0.0419419 | − | 0.291712i | ||||
\(249\) | −2141.44 | − | 1376.22i | −0.545012 | − | 0.350258i | ||||
\(250\) | 163.715 | − | 188.937i | 0.0414170 | − | 0.0477978i | ||||
\(251\) | −1612.40 | − | 473.443i | −0.405473 | − | 0.119058i | 0.0726351 | − | 0.997359i | \(-0.476859\pi\) |
−0.478108 | + | 0.878301i | \(0.658677\pi\) | |||||||
\(252\) | 2235.40 | 0.558798 | ||||||||
\(253\) | −92.4719 | + | 269.637i | −0.0229789 | + | 0.0670037i | ||||
\(254\) | −608.658 | −0.150357 | ||||||||
\(255\) | 674.611 | + | 198.084i | 0.165670 | + | 0.0486450i | ||||
\(256\) | −167.644 | + | 193.472i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −57.4556 | − | 36.9245i | −0.0139455 | − | 0.00896220i | 0.533650 | − | 0.845706i | \(-0.320820\pi\) |
−0.547595 | + | 0.836744i | \(0.684457\pi\) | |||||||
\(258\) | −656.884 | + | 4568.73i | −0.158511 | + | 1.10247i | ||||
\(259\) | −8010.24 | + | 5147.87i | −1.92175 | + | 1.23503i | ||||
\(260\) | −44.4279 | − | 97.2835i | −0.0105973 | − | 0.0232049i | ||||
\(261\) | 3305.45 | + | 3814.69i | 0.783916 | + | 0.904687i | ||||
\(262\) | −637.603 | − | 4434.63i | −0.150348 | − | 1.04570i | ||||
\(263\) | 2741.53 | − | 6003.11i | 0.642776 | − | 1.40748i | −0.254962 | − | 0.966951i | \(-0.582063\pi\) |
0.897737 | − | 0.440531i | \(-0.145210\pi\) | |||||||
\(264\) | 139.781 | − | 41.0435i | 0.0325869 | − | 0.00956838i | ||||
\(265\) | 926.795 | − | 272.131i | 0.214840 | − | 0.0630827i | ||||
\(266\) | 556.721 | − | 1219.05i | 0.128326 | − | 0.280995i | ||||
\(267\) | −461.171 | − | 3207.51i | −0.105705 | − | 0.735194i | ||||
\(268\) | 1627.57 | + | 1878.32i | 0.370970 | + | 0.428122i | ||||
\(269\) | 3326.68 | + | 7284.40i | 0.754019 | + | 1.65107i | 0.759007 | + | 0.651083i | \(0.225685\pi\) |
−0.00498831 | + | 0.999988i | \(0.501588\pi\) | |||||||
\(270\) | 257.548 | − | 165.516i | 0.0580513 | − | 0.0373073i | ||||
\(271\) | −362.837 | + | 2523.59i | −0.0813313 | + | 0.565671i | 0.907886 | + | 0.419217i | \(0.137695\pi\) |
−0.989217 | + | 0.146455i | \(0.953214\pi\) | |||||||
\(272\) | −268.599 | − | 172.618i | −0.0598758 | − | 0.0384799i | ||||
\(273\) | 608.695 | − | 702.471i | 0.134945 | − | 0.155734i | ||||
\(274\) | 3739.34 | + | 1097.97i | 0.824459 | + | 0.242083i | ||||
\(275\) | 64.6061 | 0.0141669 | ||||||||
\(276\) | −1008.60 | + | 2940.96i | −0.219966 | + | 0.641395i | ||||
\(277\) | 3986.50 | 0.864712 | 0.432356 | − | 0.901703i | \(-0.357682\pi\) | ||||
0.432356 | + | 0.901703i | \(0.357682\pi\) | |||||||
\(278\) | 1812.78 | + | 532.280i | 0.391091 | + | 0.114835i | ||||
\(279\) | −2134.55 | + | 2463.40i | −0.458037 | + | 0.528603i | ||||
\(280\) | −830.062 | − | 533.449i | −0.177163 | − | 0.113856i | ||||
\(281\) | 425.994 | − | 2962.85i | 0.0904365 | − | 0.629000i | −0.893311 | − | 0.449440i | \(-0.851624\pi\) |
0.983747 | − | 0.179560i | \(-0.0574673\pi\) | |||||||
\(282\) | −535.134 | + | 343.910i | −0.113003 | + | 0.0726225i | ||||
\(283\) | 3167.26 | + | 6935.33i | 0.665279 | + | 1.45676i | 0.877520 | + | 0.479540i | \(0.159197\pi\) |
−0.212241 | + | 0.977217i | \(0.568076\pi\) | |||||||
\(284\) | 1852.32 | + | 2137.69i | 0.387025 | + | 0.446651i | ||||
\(285\) | 136.209 | + | 947.353i | 0.0283099 | + | 0.196900i | ||||
\(286\) | 11.4813 | − | 25.1404i | 0.00237378 | − | 0.00519785i | ||||
\(287\) | 3105.56 | − | 911.873i | 0.638729 | − | 0.187548i | ||||
\(288\) | 695.607 | − | 204.249i | 0.142323 | − | 0.0417898i | ||||
\(289\) | −1875.51 | + | 4106.79i | −0.381744 | + | 0.835904i | ||||
\(290\) | −317.073 | − | 2205.29i | −0.0642041 | − | 0.446549i | ||||
\(291\) | −2248.17 | − | 2594.52i | −0.452886 | − | 0.522659i | ||||
\(292\) | 988.709 | + | 2164.97i | 0.198150 | + | 0.433888i | ||||
\(293\) | 2840.17 | − | 1825.26i | 0.566294 | − | 0.363935i | −0.225950 | − | 0.974139i | \(-0.572549\pi\) |
0.792245 | + | 0.610204i | \(0.208912\pi\) | |||||||
\(294\) | 532.474 | − | 3703.44i | 0.105628 | − | 0.734656i | ||||
\(295\) | −1707.83 | − | 1097.56i | −0.337064 | − | 0.216618i | ||||
\(296\) | −2022.25 | + | 2333.80i | −0.397097 | + | 0.458274i | ||||
\(297\) | 75.9113 | + | 22.2896i | 0.0148310 | + | 0.00435479i | ||||
\(298\) | 1560.81 | 0.303407 | ||||||||
\(299\) | 296.360 | + | 509.984i | 0.0573208 | + | 0.0986393i | ||||
\(300\) | 704.666 | 0.135613 | ||||||||
\(301\) | 7751.58 | + | 2276.07i | 1.48436 | + | 0.435849i | ||||
\(302\) | 1446.83 | − | 1669.73i | 0.275681 | − | 0.318153i | ||||
\(303\) | −3058.92 | − | 1965.85i | −0.579969 | − | 0.372723i | ||||
\(304\) | 61.8546 | − | 430.208i | 0.0116697 | − | 0.0811649i | ||||
\(305\) | −1716.51 | + | 1103.13i | −0.322252 | + | 0.207099i | ||||
\(306\) | 375.615 | + | 822.481i | 0.0701714 | + | 0.153654i | ||||
\(307\) | 4564.41 | + | 5267.60i | 0.848548 | + | 0.979277i | 0.999958 | − | 0.00919406i | \(-0.00292660\pi\) |
−0.151409 | + | 0.988471i | \(0.548381\pi\) | |||||||
\(308\) | −36.2884 | − | 252.391i | −0.00671339 | − | 0.0466926i | ||||
\(309\) | 2296.89 | − | 5029.50i | 0.422866 | − | 0.925948i | ||||
\(310\) | 1380.47 | − | 405.343i | 0.252921 | − | 0.0742643i | ||||
\(311\) | 6583.88 | − | 1933.20i | 1.20044 | − | 0.352481i | 0.380420 | − | 0.924814i | \(-0.375779\pi\) |
0.820022 | + | 0.572332i | \(0.193961\pi\) | |||||||
\(312\) | 125.227 | − | 274.210i | 0.0227231 | − | 0.0497566i | ||||
\(313\) | −1134.06 | − | 7887.59i | −0.204796 | − | 1.42439i | −0.789804 | − | 0.613359i | \(-0.789818\pi\) |
0.585009 | − | 0.811027i | \(-0.301091\pi\) | |||||||
\(314\) | −4011.39 | − | 4629.39i | −0.720941 | − | 0.832011i | ||||
\(315\) | 1160.78 | + | 2541.74i | 0.207626 | + | 0.454638i | ||||
\(316\) | −2629.91 | + | 1690.14i | −0.468177 | + | 0.300879i | ||||
\(317\) | 770.879 | − | 5361.58i | 0.136583 | − | 0.949957i | −0.800122 | − | 0.599837i | \(-0.795232\pi\) |
0.936705 | − | 0.350119i | \(-0.113859\pi\) | |||||||
\(318\) | 2290.40 | + | 1471.95i | 0.403898 | + | 0.259569i | ||||
\(319\) | 377.044 | − | 435.132i | 0.0661768 | − | 0.0763721i | ||||
\(320\) | −307.038 | − | 90.1544i | −0.0536373 | − | 0.0157493i | ||||
\(321\) | 9083.22 | 1.57936 | ||||||||
\(322\) | 4843.91 | + | 2479.95i | 0.838324 | + | 0.429199i | ||||
\(323\) | 542.076 | 0.0933805 | ||||||||
\(324\) | 3175.65 | + | 932.454i | 0.544521 | + | 0.159886i | ||||
\(325\) | 87.5452 | − | 101.033i | 0.0149420 | − | 0.0172439i | ||||
\(326\) | 2757.85 | + | 1772.37i | 0.468538 | + | 0.301111i | ||||
\(327\) | −133.379 | + | 927.673i | −0.0225562 | + | 0.156882i | ||||
\(328\) | 883.061 | − | 567.509i | 0.148655 | − | 0.0955349i | ||||
\(329\) | 462.518 | + | 1012.77i | 0.0775059 | + | 0.169714i | ||||
\(330\) | 119.252 | + | 137.624i | 0.0198928 | + | 0.0229575i | ||||
\(331\) | −859.408 | − | 5977.32i | −0.142711 | − | 0.992577i | −0.927769 | − | 0.373155i | \(-0.878276\pi\) |
0.785058 | − | 0.619422i | \(-0.212633\pi\) | |||||||
\(332\) | −600.257 | + | 1314.38i | −0.0992270 | + | 0.217277i | ||||
\(333\) | 8390.91 | − | 2463.79i | 1.38084 | − | 0.405451i | ||||
\(334\) | 486.386 | − | 142.816i | 0.0796822 | − | 0.0233968i | ||||
\(335\) | −1290.58 | + | 2825.97i | −0.210483 | + | 0.460893i | ||||
\(336\) | −395.801 | − | 2752.86i | −0.0642641 | − | 0.446967i | ||||
\(337\) | 4443.74 | + | 5128.35i | 0.718296 | + | 0.828958i | 0.991101 | − | 0.133112i | \(-0.0424969\pi\) |
−0.272805 | + | 0.962069i | \(0.587951\pi\) | |||||||
\(338\) | 1801.58 | + | 3944.90i | 0.289920 | + | 0.634835i | ||||
\(339\) | −9404.61 | + | 6043.98i | −1.50675 | + | 0.968329i | ||||
\(340\) | 56.7987 | − | 395.044i | 0.00905983 | − | 0.0630125i | ||||
\(341\) | 312.785 | + | 201.015i | 0.0496723 | + | 0.0319225i | ||||
\(342\) | −806.033 | + | 930.212i | −0.127442 | + | 0.147076i | ||||
\(343\) | 1834.72 | + | 538.722i | 0.288821 | + | 0.0848055i | ||||
\(344\) | 2620.08 | 0.410655 | ||||||||
\(345\) | −3867.72 | + | 380.330i | −0.603569 | + | 0.0593515i | ||||
\(346\) | −2895.84 | −0.449946 | ||||||||
\(347\) | 2645.16 | + | 776.690i | 0.409221 | + | 0.120158i | 0.479863 | − | 0.877344i | \(-0.340686\pi\) |
−0.0706415 | + | 0.997502i | \(0.522505\pi\) | |||||||
\(348\) | 4112.46 | − | 4746.03i | 0.633480 | − | 0.731074i | ||||
\(349\) | 3743.56 | + | 2405.84i | 0.574178 | + | 0.369002i | 0.795274 | − | 0.606250i | \(-0.207327\pi\) |
−0.221096 | + | 0.975252i | \(0.570963\pi\) | |||||||
\(350\) | 175.527 | − | 1220.82i | 0.0268066 | − | 0.186444i | ||||
\(351\) | 137.721 | − | 88.5081i | 0.0209431 | − | 0.0134593i | ||||
\(352\) | −34.3531 | − | 75.2228i | −0.00520178 | − | 0.0113903i | ||||
\(353\) | −5268.17 | − | 6079.79i | −0.794324 | − | 0.916699i | 0.203732 | − | 0.979027i | \(-0.434693\pi\) |
−0.998056 | + | 0.0623279i | \(0.980148\pi\) | |||||||
\(354\) | −814.351 | − | 5663.94i | −0.122266 | − | 0.850381i | ||||
\(355\) | −1468.79 | + | 3216.20i | −0.219592 | + | 0.480840i | ||||
\(356\) | −1764.94 | + | 518.233i | −0.262758 | + | 0.0771526i | ||||
\(357\) | 3328.18 | − | 977.242i | 0.493406 | − | 0.144877i | ||||
\(358\) | −3055.37 | + | 6690.32i | −0.451065 | + | 0.987694i | ||||
\(359\) | −1303.62 | − | 9066.90i | −0.191651 | − | 1.33296i | −0.827639 | − | 0.561261i | \(-0.810316\pi\) |
0.635988 | − | 0.771699i | \(-0.280593\pi\) | |||||||
\(360\) | 593.446 | + | 684.873i | 0.0868815 | + | 0.100267i | ||||
\(361\) | −2542.79 | − | 5567.94i | −0.370724 | − | 0.811771i | ||||
\(362\) | −7393.42 | + | 4751.46i | −1.07345 | + | 0.689865i | ||||
\(363\) | 1328.09 | − | 9237.06i | 0.192029 | − | 1.33559i | ||||
\(364\) | −443.868 | − | 285.257i | −0.0639149 | − | 0.0410756i | ||||
\(365\) | −1948.25 | + | 2248.40i | −0.279387 | + | 0.322429i | ||||
\(366\) | −5518.28 | − | 1620.31i | −0.788102 | − | 0.231408i | ||||
\(367\) | 10023.9 | 1.42573 | 0.712864 | − | 0.701302i | \(-0.247398\pi\) | ||||
0.712864 | + | 0.701302i | \(0.247398\pi\) | |||||||
\(368\) | 1733.91 | + | 329.116i | 0.245615 | + | 0.0466205i | ||||
\(369\) | −2972.66 | −0.419379 | ||||||||
\(370\) | −3703.71 | − | 1087.51i | −0.520396 | − | 0.152802i | ||||
\(371\) | 3120.65 | − | 3601.42i | 0.436700 | − | 0.503979i | ||||
\(372\) | 3411.58 | + | 2192.49i | 0.475490 | + | 0.305579i | ||||
\(373\) | −542.227 | + | 3771.27i | −0.0752693 | + | 0.523509i | 0.916950 | + | 0.399003i | \(0.130644\pi\) |
−0.992219 | + | 0.124506i | \(0.960265\pi\) | |||||||
\(374\) | 86.7659 | − | 55.7610i | 0.0119961 | − | 0.00770945i | ||||
\(375\) | 365.911 | + | 801.233i | 0.0503882 | + | 0.110335i | ||||
\(376\) | 236.462 | + | 272.892i | 0.0324324 | + | 0.0374290i | ||||
\(377\) | −169.552 | − | 1179.26i | −0.0231628 | − | 0.161101i | ||||
\(378\) | 627.432 | − | 1373.88i | 0.0853747 | − | 0.186944i | ||||
\(379\) | −1442.07 | + | 423.429i | −0.195446 | + | 0.0573880i | −0.377990 | − | 0.925810i | \(-0.623385\pi\) |
0.182545 | + | 0.983198i | \(0.441567\pi\) | |||||||
\(380\) | 521.283 | − | 153.062i | 0.0703717 | − | 0.0206630i | ||||
\(381\) | 890.858 | − | 1950.71i | 0.119790 | − | 0.262304i | ||||
\(382\) | −642.859 | − | 4471.19i | −0.0861035 | − | 0.598863i | ||||
\(383\) | −2207.13 | − | 2547.17i | −0.294463 | − | 0.339828i | 0.589170 | − | 0.808009i | \(-0.299455\pi\) |
−0.883633 | + | 0.468181i | \(0.844910\pi\) | |||||||
\(384\) | −374.693 | − | 820.463i | −0.0497942 | − | 0.109034i | ||||
\(385\) | 268.136 | − | 172.320i | 0.0354947 | − | 0.0228111i | ||||
\(386\) | −240.819 | + | 1674.93i | −0.0317548 | + | 0.220859i | ||||
\(387\) | −6242.00 | − | 4011.49i | −0.819894 | − | 0.526914i | ||||
\(388\) | −1276.16 | + | 1472.77i | −0.166977 | + | 0.192702i | ||||
\(389\) | 10189.9 | + | 2992.04i | 1.32815 | + | 0.389980i | 0.867427 | − | 0.497564i | \(-0.165772\pi\) |
0.460723 | + | 0.887544i | \(0.347590\pi\) | |||||||
\(390\) | 376.814 | 0.0489249 | ||||||||
\(391\) | −98.5358 | + | 2198.94i | −0.0127447 | + | 0.284413i | ||||
\(392\) | −2123.85 | −0.273650 | ||||||||
\(393\) | 15145.9 | + | 4447.24i | 1.94405 | + | 0.570823i | ||||
\(394\) | −5118.45 | + | 5907.00i | −0.654476 | + | 0.755306i | ||||
\(395\) | −3287.39 | − | 2112.68i | −0.418750 | − | 0.269115i | ||||
\(396\) | −33.3285 | + | 231.805i | −0.00422935 | + | 0.0294158i | ||||
\(397\) | −6009.95 | + | 3862.36i | −0.759775 | + | 0.488278i | −0.862266 | − | 0.506456i | \(-0.830955\pi\) |
0.102491 | + | 0.994734i | \(0.467319\pi\) | |||||||
\(398\) | −2097.46 | − | 4592.80i | −0.264161 | − | 0.578433i | ||||
\(399\) | 3092.13 | + | 3568.51i | 0.387970 | + | 0.447742i | ||||
\(400\) | −56.9259 | − | 395.929i | −0.00711574 | − | 0.0494911i | ||||
\(401\) | 4637.29 | − | 10154.3i | 0.577494 | − | 1.26454i | −0.365215 | − | 0.930923i | \(-0.619005\pi\) |
0.942710 | − | 0.333613i | \(-0.108268\pi\) | |||||||
\(402\) | −8402.08 | + | 2467.07i | −1.04243 | + | 0.306086i | ||||
\(403\) | 738.194 | − | 216.753i | 0.0912459 | − | 0.0267922i | ||||
\(404\) | −857.433 | + | 1877.52i | −0.105591 | + | 0.231213i | ||||
\(405\) | 588.777 | + | 4095.03i | 0.0722384 | + | 0.502429i | ||||
\(406\) | −7198.00 | − | 8306.94i | −0.879879 | − | 1.01543i | ||||
\(407\) | −414.392 | − | 907.391i | −0.0504684 | − | 0.110510i | ||||
\(408\) | 946.364 | − | 608.191i | 0.114833 | − | 0.0737989i | ||||
\(409\) | −716.878 | + | 4986.00i | −0.0866683 | + | 0.602791i | 0.899485 | + | 0.436953i | \(0.143942\pi\) |
−0.986153 | + | 0.165839i | \(0.946967\pi\) | |||||||
\(410\) | 1103.83 | + | 709.386i | 0.132961 | + | 0.0854490i | ||||
\(411\) | −8991.98 | + | 10377.3i | −1.07918 | + | 1.24544i | ||||
\(412\) | −3011.46 | − | 884.244i | −0.360107 | − | 0.105737i | ||||
\(413\) | −10015.5 | −1.19329 | ||||||||
\(414\) | −3626.91 | − | 3438.78i | −0.430563 | − | 0.408230i | ||||
\(415\) | −1806.20 | −0.213645 | ||||||||
\(416\) | −164.186 | − | 48.2093i | −0.0193506 | − | 0.00568186i | ||||
\(417\) | −4359.19 | + | 5030.77i | −0.511919 | + | 0.590786i | ||||
\(418\) | 118.112 | + | 75.9057i | 0.0138206 | + | 0.00888198i | ||||
\(419\) | 2102.45 | − | 14622.9i | 0.245135 | − | 1.70495i | −0.380458 | − | 0.924798i | \(-0.624233\pi\) |
0.625592 | − | 0.780150i | \(-0.284857\pi\) | |||||||
\(420\) | 2924.58 | − | 1879.52i | 0.339774 | − | 0.218359i | ||||
\(421\) | 634.466 | + | 1389.29i | 0.0734488 | + | 0.160831i | 0.942795 | − | 0.333373i | \(-0.108187\pi\) |
−0.869346 | + | 0.494204i | \(0.835460\pi\) | |||||||
\(422\) | 3931.06 | + | 4536.69i | 0.453462 | + | 0.523323i | ||||
\(423\) | −145.527 | − | 1012.17i | −0.0167276 | − | 0.116343i | ||||
\(424\) | 642.013 | − | 1405.81i | 0.0735352 | − | 0.161020i | ||||
\(425\) | 478.674 | − | 140.551i | 0.0546332 | − | 0.0160418i | ||||
\(426\) | −9562.31 | + | 2807.75i | −1.08755 | + | 0.319333i | ||||
\(427\) | −4181.72 | + | 9156.68i | −0.473929 | + | 1.03776i | ||||
\(428\) | −733.781 | − | 5103.56i | −0.0828707 | − | 0.576378i | ||||
\(429\) | 63.7690 | + | 73.5933i | 0.00717668 | + | 0.00828233i | ||||
\(430\) | 1360.53 | + | 2979.14i | 0.152582 | + | 0.334109i | ||||
\(431\) | 3809.88 | − | 2448.46i | 0.425790 | − | 0.273639i | −0.310147 | − | 0.950689i | \(-0.600378\pi\) |
0.735937 | + | 0.677050i | \(0.236742\pi\) | |||||||
\(432\) | 69.7110 | − | 484.850i | 0.00776382 | − | 0.0539985i | ||||
\(433\) | 6009.54 | + | 3862.10i | 0.666975 | + | 0.428639i | 0.829834 | − | 0.558011i | \(-0.188435\pi\) |
−0.162859 | + | 0.986649i | \(0.552072\pi\) | |||||||
\(434\) | 4648.24 | − | 5364.35i | 0.514107 | − | 0.593311i | ||||
\(435\) | 7531.90 | + | 2211.56i | 0.830177 | + | 0.243762i | ||||
\(436\) | 532.004 | 0.0584366 | ||||||||
\(437\) | −2778.57 | + | 1121.47i | −0.304158 | + | 0.122763i | ||||
\(438\) | −8385.70 | −0.914805 | ||||||||
\(439\) | −567.627 | − | 166.670i | −0.0617115 | − | 0.0181201i | 0.250731 | − | 0.968057i | \(-0.419329\pi\) |
−0.312443 | + | 0.949937i | \(0.601147\pi\) | |||||||
\(440\) | 67.6928 | − | 78.1217i | 0.00733439 | − | 0.00846433i | ||||
\(441\) | 5059.80 | + | 3251.74i | 0.546356 | + | 0.351122i | ||||
\(442\) | 30.3726 | − | 211.246i | 0.00326850 | − | 0.0227329i | ||||
\(443\) | −11423.5 | + | 7341.41i | −1.22516 | + | 0.787361i | −0.983130 | − | 0.182908i | \(-0.941449\pi\) |
−0.242028 | + | 0.970269i | \(0.577813\pi\) | |||||||
\(444\) | −4519.81 | − | 9897.01i | −0.483110 | − | 1.05786i | ||||
\(445\) | −1505.73 | − | 1737.71i | −0.160401 | − | 0.185113i | ||||
\(446\) | −265.623 | − | 1847.45i | −0.0282009 | − | 0.196141i | ||||
\(447\) | −2284.47 | + | 5002.29i | −0.241726 | + | 0.529306i | ||||
\(448\) | −1514.77 | + | 444.775i | −0.159745 | + | 0.0469055i | ||||
\(449\) | 9978.62 | − | 2929.99i | 1.04882 | − | 0.307961i | 0.288479 | − | 0.957486i | \(-0.406850\pi\) |
0.760340 | + | 0.649525i | \(0.225032\pi\) | |||||||
\(450\) | −470.570 | + | 1030.40i | −0.0492953 | + | 0.107942i | ||||
\(451\) | 48.2567 | + | 335.633i | 0.00503840 | + | 0.0350429i | ||||
\(452\) | 4155.65 | + | 4795.88i | 0.432446 | + | 0.499069i | ||||
\(453\) | 3233.73 | + | 7080.89i | 0.335395 | + | 0.734413i | ||||
\(454\) | 3651.46 | − | 2346.65i | 0.377470 | − | 0.242585i | ||||
\(455\) | 93.8615 | − | 652.821i | 0.00967098 | − | 0.0672631i | ||||
\(456\) | 1288.26 | + | 827.911i | 0.132298 | + | 0.0850230i | ||||
\(457\) | −10245.4 | + | 11823.8i | −1.04871 | + | 1.21027i | −0.0716181 | + | 0.997432i | \(0.522816\pi\) |
−0.977087 | + | 0.212839i | \(0.931729\pi\) | |||||||
\(458\) | 2545.17 | + | 747.331i | 0.259669 | + | 0.0762456i | ||||
\(459\) | 610.927 | 0.0621255 | ||||||||
\(460\) | 526.146 | + | 2142.42i | 0.0533297 | + | 0.217154i | ||||
\(461\) | −6928.11 | −0.699944 | −0.349972 | − | 0.936760i | \(-0.613809\pi\) | ||||
−0.349972 | + | 0.936760i | \(0.613809\pi\) | |||||||
\(462\) | 862.011 | + | 253.109i | 0.0868060 | + | 0.0254885i | ||||
\(463\) | 9076.20 | − | 10474.5i | 0.911030 | − | 1.05138i | −0.0874450 | − | 0.996169i | \(-0.527870\pi\) |
0.998475 | − | 0.0552148i | \(-0.0175843\pi\) | |||||||
\(464\) | −2998.86 | − | 1927.25i | −0.300040 | − | 0.192824i | ||||
\(465\) | −721.421 | + | 5017.60i | −0.0719465 | + | 0.500399i | ||||
\(466\) | 9137.45 | − | 5872.28i | 0.908335 | − | 0.583751i | ||||
\(467\) | 362.892 | + | 794.622i | 0.0359585 | + | 0.0787382i | 0.926759 | − | 0.375657i | \(-0.122583\pi\) |
−0.890800 | + | 0.454395i | \(0.849856\pi\) | |||||||
\(468\) | 317.340 | + | 366.230i | 0.0313441 | + | 0.0361730i | ||||
\(469\) | 2181.25 | + | 15170.9i | 0.214756 | + | 1.49366i | ||||
\(470\) | −187.501 | + | 410.571i | −0.0184017 | + | 0.0402941i | ||||
\(471\) | 20708.1 | − | 6080.45i | 2.02586 | − | 0.594846i | ||||
\(472\) | −3116.59 | + | 915.114i | −0.303925 | + | 0.0892406i | ||||
\(473\) | −351.593 | + | 769.882i | −0.0341782 | + | 0.0748398i | ||||
\(474\) | −1567.54 | − | 10902.5i | −0.151897 | − | 1.05647i | ||||
\(475\) | 444.724 | + | 513.239i | 0.0429586 | + | 0.0495769i | ||||
\(476\) | −817.945 | − | 1791.05i | −0.0787614 | − | 0.172463i | ||||
\(477\) | −3681.89 | + | 2366.21i | −0.353422 | + | 0.227130i | ||||
\(478\) | 704.423 | − | 4899.37i | 0.0674050 | − | 0.468812i | ||||
\(479\) | −9423.70 | − | 6056.24i | −0.898914 | − | 0.577697i | 0.00755392 | − | 0.999971i | \(-0.497595\pi\) |
−0.906468 | + | 0.422274i | \(0.861232\pi\) | |||||||
\(480\) | 738.333 | − | 852.082i | 0.0702086 | − | 0.0810251i | ||||
\(481\) | −1980.53 | − | 581.535i | −0.187743 | − | 0.0551262i | ||||
\(482\) | −1461.70 | −0.138130 | ||||||||
\(483\) | −15037.8 | + | 11894.6i | −1.41666 | + | 1.12055i | ||||
\(484\) | −5297.29 | −0.497491 | ||||||||
\(485\) | −2337.27 | − | 686.283i | −0.218824 | − | 0.0642526i | ||||
\(486\) | −6553.86 | + | 7563.55i | −0.611706 | + | 0.705946i | ||||
\(487\) | 11966.7 | + | 7690.52i | 1.11347 | + | 0.715587i | 0.962048 | − | 0.272882i | \(-0.0879767\pi\) |
0.151427 | + | 0.988468i | \(0.451613\pi\) | |||||||
\(488\) | −464.610 | + | 3231.44i | −0.0430982 | + | 0.299755i | ||||
\(489\) | −9716.83 | + | 6244.63i | −0.898590 | + | 0.577488i | ||||
\(490\) | −1102.85 | − | 2414.91i | −0.101677 | − | 0.222642i | ||||
\(491\) | −13141.6 | − | 15166.2i | −1.20789 | − | 1.39398i | −0.896117 | − | 0.443819i | \(-0.853623\pi\) |
−0.311771 | − | 0.950157i | \(-0.600922\pi\) | |||||||
\(492\) | 526.341 | + | 3660.78i | 0.0482303 | + | 0.335449i | ||||
\(493\) | 1846.93 | − | 4044.20i | 0.168725 | − | 0.369456i | ||||
\(494\) | 278.751 | − | 81.8488i | 0.0253879 | − | 0.00745456i | ||||
\(495\) | −280.878 | + | 82.4732i | −0.0255041 | + | 0.00748868i | ||||
\(496\) | 956.286 | − | 2093.97i | 0.0865695 | − | 0.189561i | ||||
\(497\) | 2482.46 | + | 17265.9i | 0.224051 | + | 1.55831i | ||||
\(498\) | −3333.93 | − | 3847.57i | −0.299994 | − | 0.346212i | ||||
\(499\) | 1146.08 | + | 2509.57i | 0.102817 | + | 0.225138i | 0.954048 | − | 0.299653i | \(-0.0968709\pi\) |
−0.851231 | + | 0.524791i | \(0.824144\pi\) | |||||||
\(500\) | 420.627 | − | 270.320i | 0.0376220 | − | 0.0241782i | ||||
\(501\) | −254.181 | + | 1767.87i | −0.0226666 | + | 0.157650i | ||||
\(502\) | −2827.40 | − | 1817.06i | −0.251381 | − | 0.161553i | ||||
\(503\) | 494.131 | − | 570.257i | 0.0438016 | − | 0.0505497i | −0.733426 | − | 0.679769i | \(-0.762080\pi\) |
0.777228 | + | 0.629220i | \(0.216625\pi\) | |||||||
\(504\) | 4289.71 | + | 1259.57i | 0.379125 | + | 0.111321i | ||||
\(505\) | −2580.05 | −0.227348 | ||||||||
\(506\) | −329.383 | + | 465.325i | −0.0289385 | + | 0.0408819i | ||||
\(507\) | −15280.0 | −1.33848 | ||||||||
\(508\) | −1168.01 | − | 342.957i | −0.102012 | − | 0.0299533i | ||||
\(509\) | −1790.45 | + | 2066.29i | −0.155914 | + | 0.179935i | −0.828333 | − | 0.560237i | \(-0.810710\pi\) |
0.672418 | + | 0.740171i | \(0.265256\pi\) | |||||||
\(510\) | 1182.96 | + | 760.239i | 0.102710 | + | 0.0660078i | ||||
\(511\) | −2088.82 | + | 14528.0i | −0.180829 | + | 1.25770i | ||||
\(512\) | −430.722 | + | 276.808i | −0.0371785 | + | 0.0238932i | ||||
\(513\) | 345.474 | + | 756.482i | 0.0297330 | + | 0.0651062i | ||||
\(514\) | −89.4509 | − | 103.232i | −0.00767609 | − | 0.00885867i | ||||
\(515\) | −558.336 | − | 3883.31i | −0.0477732 | − | 0.332270i | ||||
\(516\) | −3834.87 | + | 8397.19i | −0.327172 | + | 0.716406i | ||||
\(517\) | −111.918 | + | 32.8620i | −0.00952056 | + | 0.00279549i | ||||
\(518\) | −18272.2 | + | 5365.20i | −1.54987 | + | 0.455084i | ||||
\(519\) | 4238.48 | − | 9280.97i | 0.358475 | − | 0.784951i | ||||
\(520\) | −30.4406 | − | 211.719i | −0.00256713 | − | 0.0178548i | ||||
\(521\) | −14830.5 | − | 17115.3i | −1.24709 | − | 1.43922i | −0.854451 | − | 0.519532i | \(-0.826106\pi\) |
−0.392642 | − | 0.919691i | \(-0.628439\pi\) | |||||||
\(522\) | 4193.66 | + | 9182.84i | 0.351632 | + | 0.769966i | ||||
\(523\) | 7549.75 | − | 4851.93i | 0.631219 | − | 0.405660i | −0.185542 | − | 0.982636i | \(-0.559404\pi\) |
0.816761 | + | 0.576976i | \(0.195768\pi\) | |||||||
\(524\) | 1275.21 | − | 8869.25i | 0.106312 | − | 0.739418i | ||||
\(525\) | 3655.73 | + | 2349.39i | 0.303903 | + | 0.195307i | ||||
\(526\) | 8643.50 | − | 9975.13i | 0.716492 | − | 0.826875i | ||||
\(527\) | 2754.77 | + | 808.874i | 0.227703 | + | 0.0668597i | ||||
\(528\) | 291.365 | 0.0240152 | ||||||||
\(529\) | −4044.20 | − | 11475.2i | −0.332391 | − | 0.943142i | ||||
\(530\) | 1931.84 | 0.158328 | ||||||||
\(531\) | 8825.97 | + | 2591.54i | 0.721308 | + | 0.211795i | ||||
\(532\) | 1755.23 | − | 2025.65i | 0.143043 | − | 0.165081i | ||||
\(533\) | 590.261 | + | 379.338i | 0.0479682 | + | 0.0308273i | ||||
\(534\) | 922.342 | − | 6415.03i | 0.0747446 | − | 0.519860i | ||||
\(535\) | 5421.92 | − | 3484.46i | 0.438150 | − | 0.281582i | ||||
\(536\) | 2064.92 | + | 4521.55i | 0.166401 | + | 0.364368i | ||||
\(537\) | −16970.1 | − | 19584.5i | −1.36371 | − | 1.57381i | ||||
\(538\) | 2279.34 | + | 15853.1i | 0.182656 | + | 1.27040i | ||||
\(539\) | 285.004 | − | 624.071i | 0.0227755 | − | 0.0498713i | ||||
\(540\) | 587.493 | − | 172.503i | 0.0468179 | − | 0.0137470i | ||||
\(541\) | −21111.2 | + | 6198.81i | −1.67771 | + | 0.492620i | −0.975620 | − | 0.219468i | \(-0.929568\pi\) |
−0.702090 | + | 0.712088i | \(0.747750\pi\) | |||||||
\(542\) | −2118.23 | + | 4638.28i | −0.167871 | + | 0.367585i | ||||
\(543\) | −4406.78 | − | 30649.9i | −0.348275 | − | 2.42230i | ||||
\(544\) | −418.174 | − | 482.599i | −0.0329578 | − | 0.0380354i | ||||
\(545\) | 276.253 | + | 604.910i | 0.0217126 | + | 0.0475440i | ||||
\(546\) | 1563.89 | − | 1005.05i | 0.122580 | − | 0.0787772i | ||||
\(547\) | 307.514 | − | 2138.81i | 0.0240372 | − | 0.167183i | −0.974267 | − | 0.225398i | \(-0.927632\pi\) |
0.998304 | + | 0.0582152i | \(0.0185409\pi\) | |||||||
\(548\) | 6557.07 | + | 4213.97i | 0.511139 | + | 0.328489i | ||||
\(549\) | 6054.38 | − | 6987.13i | 0.470664 | − | 0.543176i | ||||
\(550\) | 123.978 | + | 36.4033i | 0.00961173 | + | 0.00282226i | ||||
\(551\) | 6052.17 | 0.467933 | ||||||||
\(552\) | −3592.62 | + | 5075.35i | −0.277014 | + | 0.391343i | ||||
\(553\) | −19278.7 | −1.48248 | ||||||||
\(554\) | 7650.03 | + | 2246.25i | 0.586676 | + | 0.172264i | ||||
\(555\) | 8906.30 | − | 10278.4i | 0.681174 | − | 0.786116i | ||||
\(556\) | 3178.78 | + | 2042.88i | 0.242464 | + | 0.155822i | ||||
\(557\) | 1152.90 | − | 8018.62i | 0.0877022 | − | 0.609982i | −0.897811 | − | 0.440381i | \(-0.854843\pi\) |
0.985513 | − | 0.169600i | \(-0.0542477\pi\) | |||||||
\(558\) | −5484.22 | + | 3524.49i | −0.416067 | + | 0.267390i | ||||
\(559\) | 727.529 | + | 1593.07i | 0.0550469 | + | 0.120536i | ||||
\(560\) | −1292.30 | − | 1491.39i | −0.0975171 | − | 0.112541i | ||||
\(561\) | 51.7161 | + | 359.693i | 0.00389207 | + | 0.0270700i | ||||
\(562\) | 2486.94 | − | 5445.64i | 0.186664 | − | 0.408737i | ||||
\(563\) | −10396.6 | + | 3052.72i | −0.778268 | + | 0.228520i | −0.646657 | − | 0.762781i | \(-0.723833\pi\) |
−0.131611 | + | 0.991301i | \(0.542015\pi\) | |||||||
\(564\) | −1220.70 | + | 358.429i | −0.0911358 | + | 0.0267599i | ||||
\(565\) | −3295.21 | + | 7215.50i | −0.245364 | + | 0.537271i | ||||
\(566\) | 2170.11 | + | 15093.4i | 0.161160 | + | 1.12089i | ||||
\(567\) | 13366.0 | + | 15425.2i | 0.989985 | + | 1.14250i | ||||
\(568\) | 2350.07 | + | 5145.92i | 0.173603 | + | 0.380138i | ||||
\(569\) | 10713.4 | − | 6885.08i | 0.789330 | − | 0.507272i | −0.0827877 | − | 0.996567i | \(-0.526382\pi\) |
0.872118 | + | 0.489295i | \(0.162746\pi\) | |||||||
\(570\) | −272.418 | + | 1894.71i | −0.0200181 | + | 0.139229i | ||||
\(571\) | −5183.35 | − | 3331.14i | −0.379889 | − | 0.244140i | 0.336735 | − | 0.941599i | \(-0.390677\pi\) |
−0.716624 | + | 0.697460i | \(0.754314\pi\) | |||||||
\(572\) | 36.1981 | − | 41.7749i | 0.00264601 | − | 0.00305366i | ||||
\(573\) | 15270.8 | + | 4483.90i | 1.11334 | + | 0.326907i | ||||
\(574\) | 6473.33 | 0.470717 | ||||||||
\(575\) | −2162.81 | + | 1710.74i | −0.156861 | + | 0.124075i | ||||
\(576\) | 1449.95 | 0.104886 | ||||||||
\(577\) | −5004.94 | − | 1469.58i | −0.361107 | − | 0.106030i | 0.0961463 | − | 0.995367i | \(-0.469348\pi\) |
−0.457253 | + | 0.889337i | \(0.651167\pi\) | |||||||
\(578\) | −5913.11 | + | 6824.10i | −0.425524 | + | 0.491081i | ||||
\(579\) | −5015.57 | − | 3223.31i | −0.360000 | − | 0.231358i | ||||
\(580\) | 634.146 | − | 4410.58i | 0.0453991 | − | 0.315758i | ||||
\(581\) | −7496.27 | + | 4817.56i | −0.535280 | + | 0.344004i | ||||
\(582\) | −2852.28 | − | 6245.62i | −0.203146 | − | 0.444827i | ||||
\(583\) | 326.930 | + | 377.297i | 0.0232248 | + | 0.0268028i | ||||
\(584\) | 677.433 | + | 4711.65i | 0.0480006 | + | 0.333852i | ||||
\(585\) | −251.633 | + | 551.000i | −0.0177842 | + | 0.0389419i | ||||
\(586\) | 6478.71 | − | 1902.32i | 0.456712 | − | 0.134103i | ||||
\(587\) | 25035.8 | − | 7351.16i | 1.76037 | − | 0.516891i | 0.768027 | − | 0.640417i | \(-0.221238\pi\) |
0.992341 | + | 0.123526i | \(0.0394203\pi\) | |||||||
\(588\) | 3108.57 | − | 6806.81i | 0.218019 | − | 0.477395i | ||||
\(589\) | 556.208 | + | 3868.51i | 0.0389103 | + | 0.270627i | ||||
\(590\) | −2658.87 | − | 3068.50i | −0.185532 | − | 0.214116i | ||||
\(591\) | −11440.0 | − | 25050.0i | −0.796239 | − | 1.74352i | ||||
\(592\) | −5195.67 | + | 3339.06i | −0.360711 | + | 0.231815i | ||||
\(593\) | 352.155 | − | 2449.29i | 0.0243866 | − | 0.169613i | −0.973988 | − | 0.226598i | \(-0.927240\pi\) |
0.998375 | + | 0.0569853i | \(0.0181488\pi\) | |||||||
\(594\) | 133.113 | + | 85.5467i | 0.00919479 | + | 0.00590913i | ||||
\(595\) | 1611.76 | − | 1860.07i | 0.111052 | − | 0.128161i | ||||
\(596\) | 2995.17 | + | 879.461i | 0.205850 | + | 0.0604431i | ||||
\(597\) | 17789.6 | 1.21956 | ||||||||
\(598\) | 281.352 | + | 1145.64i | 0.0192397 | + | 0.0783424i | ||||
\(599\) | 1433.99 | 0.0978151 | 0.0489075 | − | 0.998803i | \(-0.484426\pi\) | ||||
0.0489075 | + | 0.998803i | \(0.484426\pi\) | |||||||
\(600\) | 1352.24 | + | 397.055i | 0.0920086 | + | 0.0270162i | ||||
\(601\) | 1716.67 | − | 1981.14i | 0.116513 | − | 0.134463i | −0.694497 | − | 0.719496i | \(-0.744373\pi\) |
0.811010 | + | 0.585033i | \(0.198918\pi\) | |||||||
\(602\) | 13592.7 | + | 8735.49i | 0.920260 | + | 0.591415i | ||||
\(603\) | 2003.34 | − | 13933.5i | 0.135294 | − | 0.940989i | ||||
\(604\) | 3717.28 | − | 2388.95i | 0.250421 | − | 0.160936i | ||||
\(605\) | −2750.72 | − | 6023.23i | −0.184847 | − | 0.404759i | ||||
\(606\) | −4762.34 | − | 5496.03i | −0.319236 | − | 0.368418i | ||||
\(607\) | 3638.50 | + | 25306.3i | 0.243299 | + | 1.69218i | 0.635341 | + | 0.772232i | \(0.280859\pi\) |
−0.392043 | + | 0.919947i | \(0.628231\pi\) | |||||||
\(608\) | 361.105 | − | 790.710i | 0.0240868 | − | 0.0527427i | ||||
\(609\) | 37158.5 | − | 10910.7i | 2.47248 | − | 0.725985i | ||||
\(610\) | −3915.53 | + | 1149.70i | −0.259894 | + | 0.0763117i | ||||
\(611\) | −100.265 | + | 219.549i | −0.00663875 | + | 0.0145368i | ||||
\(612\) | 257.360 | + | 1789.98i | 0.0169986 | + | 0.118228i | ||||
\(613\) | 5301.16 | + | 6117.86i | 0.349285 | + | 0.403096i | 0.903021 | − | 0.429596i | \(-0.141344\pi\) |
−0.553736 | + | 0.832692i | \(0.686798\pi\) | |||||||
\(614\) | 5790.92 | + | 12680.3i | 0.380623 | + | 0.833448i | ||||
\(615\) | −3889.14 | + | 2499.40i | −0.255001 | + | 0.163879i | ||||
\(616\) | 72.5768 | − | 504.783i | 0.00474708 | − | 0.0330167i | ||||
\(617\) | −6044.30 | − | 3884.44i | −0.394383 | − | 0.253455i | 0.328387 | − | 0.944543i | \(-0.393495\pi\) |
−0.722770 | + | 0.691089i | \(0.757131\pi\) | |||||||
\(618\) | 7241.65 | − | 8357.31i | 0.471362 | − | 0.543981i | ||||
\(619\) | −7590.48 | − | 2228.77i | −0.492871 | − | 0.144720i | 0.0258462 | − | 0.999666i | \(-0.491772\pi\) |
−0.518717 | + | 0.854946i | \(0.673590\pi\) | |||||||
\(620\) | 2877.50 | 0.186392 | ||||||||
\(621\) | −3131.49 | + | 1263.91i | −0.202355 | + | 0.0816733i | ||||
\(622\) | 13723.7 | 0.884676 | ||||||||
\(623\) | −10884.1 | − | 3195.87i | −0.699942 | − | 0.205521i | ||||
\(624\) | 394.817 | − | 455.643i | 0.0253291 | − | 0.0292313i | ||||
\(625\) | 525.783 | + | 337.901i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | 2268.13 | − | 15775.2i | 0.144812 | − | 1.00719i | ||||
\(627\) | −416.146 | + | 267.441i | −0.0265060 | + | 0.0170344i | ||||
\(628\) | −5089.30 | − | 11144.0i | −0.323384 | − | 0.708112i | ||||
\(629\) | −5044.31 | − | 5821.45i | −0.319762 | − | 0.369024i | ||||
\(630\) | 795.328 | + | 5531.63i | 0.0502962 | + | 0.349818i | ||||
\(631\) | 6324.11 | − | 13847.9i | 0.398984 | − | 0.873653i | −0.598388 | − | 0.801206i | \(-0.704192\pi\) |
0.997372 | − | 0.0724469i | \(-0.0230808\pi\) | |||||||
\(632\) | −5999.09 | + | 1761.49i | −0.377581 | + | 0.110868i | ||||
\(633\) | −20293.5 | + | 5958.70i | −1.27424 | + | 0.374150i | ||||
\(634\) | 4500.37 | − | 9854.43i | 0.281912 | − | 0.617302i | ||||
\(635\) | −216.553 | − | 1506.16i | −0.0135333 | − | 0.0941260i | ||||
\(636\) | 3565.86 | + | 4115.22i | 0.222320 | + | 0.256571i | ||||
\(637\) | −589.740 | − | 1291.35i | −0.0366818 | − | 0.0803220i | ||||
\(638\) | 968.724 | − | 622.561i | 0.0601131 | − | 0.0386323i | ||||
\(639\) | 2279.97 | − | 15857.6i | 0.141149 | − | 0.981715i | ||||
\(640\) | −538.402 | − | 346.010i | −0.0332535 | − | 0.0213707i | ||||
\(641\) | −11676.5 | + | 13475.5i | −0.719494 | + | 0.830341i | −0.991246 | − | 0.132027i | \(-0.957852\pi\) |
0.271752 | + | 0.962367i | \(0.412397\pi\) | |||||||
\(642\) | 17430.6 | + | 5118.08i | 1.07154 | + | 0.314633i | ||||
\(643\) | 21460.6 | 1.31621 | 0.658107 | − | 0.752925i | \(-0.271358\pi\) | ||||
0.658107 | + | 0.752925i | \(0.271358\pi\) | |||||||
\(644\) | 7898.03 | + | 7488.36i | 0.483270 | + | 0.458203i | ||||
\(645\) | −11539.3 | −0.704431 | ||||||||
\(646\) | 1040.24 | + | 305.441i | 0.0633553 | + | 0.0186028i | ||||
\(647\) | −19799.0 | + | 22849.3i | −1.20306 | + | 1.38841i | −0.302800 | + | 0.953054i | \(0.597921\pi\) |
−0.900261 | + | 0.435351i | \(0.856624\pi\) | |||||||
\(648\) | 5568.62 | + | 3578.73i | 0.337586 | + | 0.216953i | ||||
\(649\) | 149.325 | − | 1038.58i | 0.00903161 | − | 0.0628162i | ||||
\(650\) | 224.926 | − | 144.551i | 0.0135728 | − | 0.00872273i | ||||
\(651\) | 10389.0 | + | 22748.8i | 0.625465 | + | 1.36958i | ||||
\(652\) | 4293.62 | + | 4955.10i | 0.257900 | + | 0.297633i | ||||
\(653\) | 1438.39 | + | 10004.2i | 0.0862000 | + | 0.599534i | 0.986438 | + | 0.164136i | \(0.0524834\pi\) |
−0.900238 | + | 0.435399i | \(0.856607\pi\) | |||||||
\(654\) | −778.664 | + | 1705.04i | −0.0465569 | + | 0.101945i | ||||
\(655\) | 10746.9 | − | 3155.57i | 0.641092 | − | 0.188241i | ||||
\(656\) | 2014.35 | − | 591.467i | 0.119889 | − | 0.0352026i | ||||
\(657\) | 5599.90 | − | 12262.1i | 0.332531 | − | 0.728142i | ||||
\(658\) | 316.903 | + | 2204.11i | 0.0187753 | + | 0.130585i | ||||
\(659\) | −14099.6 | − | 16271.8i | −0.833448 | − | 0.961850i | 0.166258 | − | 0.986082i | \(-0.446831\pi\) |
−0.999706 | + | 0.0242318i | \(0.992286\pi\) | |||||||
\(660\) | 151.297 | + | 331.293i | 0.00892305 | + | 0.0195388i | ||||
\(661\) | −16142.7 | + | 10374.3i | −0.949890 | + | 0.610457i | −0.921183 | − | 0.389131i | \(-0.872776\pi\) |
−0.0287075 | + | 0.999588i | \(0.509139\pi\) | |||||||
\(662\) | 1718.82 | − | 11954.6i | 0.100912 | − | 0.701858i | ||||
\(663\) | 632.575 | + | 406.531i | 0.0370546 | + | 0.0238135i | ||||
\(664\) | −1892.49 | + | 2184.05i | −0.110607 | + | 0.127647i | ||||
\(665\) | 3214.68 | + | 943.914i | 0.187458 | + | 0.0550427i | ||||
\(666\) | 17490.3 | 1.01762 | ||||||||
\(667\) | −1100.13 | + | 24550.8i | −0.0638641 | + | 1.42520i | ||||
\(668\) | 1013.84 | 0.0587225 | ||||||||
\(669\) | 6309.72 | + | 1852.70i | 0.364645 | + | 0.107070i | ||||
\(670\) | −4068.93 | + | 4695.80i | −0.234622 | + | 0.270768i | ||||
\(671\) | −887.175 | − | 570.153i | −0.0510418 | − | 0.0328025i | ||||
\(672\) | 791.603 | − | 5505.72i | 0.0454416 | − | 0.316053i | ||||
\(673\) | 22879.2 | − | 14703.6i | 1.31044 | − | 0.842171i | 0.316135 | − | 0.948714i | \(-0.397615\pi\) |
0.994308 | + | 0.106543i | \(0.0339782\pi\) | |||||||
\(674\) | 5637.82 | + | 12345.1i | 0.322197 | + | 0.705513i | ||||
\(675\) | 501.210 | + | 578.427i | 0.0285801 | + | 0.0329832i | ||||
\(676\) | 1234.38 | + | 8585.34i | 0.0702313 | + | 0.488469i | ||||
\(677\) | −6972.32 | + | 15267.3i | −0.395817 | + | 0.866719i | 0.601860 | + | 0.798601i | \(0.294426\pi\) |
−0.997677 | + | 0.0681171i | \(0.978301\pi\) | |||||||
\(678\) | −21452.9 | + | 6299.13i | −1.21518 | + | 0.356809i | ||||
\(679\) | −11530.9 | + | 3385.77i | −0.651714 | + | 0.191361i | ||||
\(680\) | 331.589 | − | 726.079i | 0.0186998 | − | 0.0409468i | ||||
\(681\) | 2176.42 | + | 15137.3i | 0.122468 | + | 0.851782i | ||||
\(682\) | 486.966 | + | 561.988i | 0.0273415 | + | 0.0315537i | ||||
\(683\) | 154.321 | + | 337.916i | 0.00864559 | + | 0.0189312i | 0.913906 | − | 0.405927i | \(-0.133051\pi\) |
−0.905260 | + | 0.424858i | \(0.860324\pi\) | |||||||
\(684\) | −2070.91 | + | 1330.89i | −0.115765 | + | 0.0743975i | ||||
\(685\) | −1386.57 | + | 9643.84i | −0.0773406 | + | 0.537915i | ||||
\(686\) | 3217.25 | + | 2067.60i | 0.179060 | + | 0.115075i | ||||
\(687\) | −6120.38 | + | 7063.29i | −0.339894 | + | 0.392258i | ||||
\(688\) | 5027.90 | + | 1476.32i | 0.278615 | + | 0.0818086i | ||||
\(689\) | 1033.04 | 0.0571198 | ||||||||
\(690\) | −7636.41 | − | 1449.48i | −0.421323 | − | 0.0799721i | ||||
\(691\) | 9642.97 | 0.530877 | 0.265438 | − | 0.964128i | \(-0.414483\pi\) | ||||
0.265438 | + | 0.964128i | \(0.414483\pi\) | |||||||
\(692\) | −5557.07 | − | 1631.70i | −0.305272 | − | 0.0896360i | ||||
\(693\) | −945.755 | + | 1091.46i | −0.0518417 | + | 0.0598285i | ||||
\(694\) | 4638.39 | + | 2980.91i | 0.253705 | + | 0.163046i | ||||
\(695\) | −672.192 | + | 4675.20i | −0.0366873 | + | 0.255166i | ||||
\(696\) | 10566.0 | − | 6790.34i | 0.575434 | − | 0.369809i | ||||
\(697\) | 1087.71 | + | 2381.76i | 0.0591105 | + | 0.129434i | ||||
\(698\) | 5828.23 | + | 6726.14i | 0.316049 | + | 0.364740i | ||||
\(699\) | 5446.30 | + | 37879.8i | 0.294704 | + | 2.04971i | ||||
\(700\) | 1024.72 | − | 2243.83i | 0.0553298 | − | 0.121155i | ||||
\(701\) | 18803.8 | − | 5521.30i | 1.01314 | − | 0.297484i | 0.267301 | − | 0.963613i | \(-0.413868\pi\) |
0.745837 | + | 0.666129i | \(0.232050\pi\) | |||||||
\(702\) | 314.157 | − | 92.2447i | 0.0168904 | − | 0.00495948i | ||||
\(703\) | 4355.91 | − | 9538.11i | 0.233693 | − | 0.511717i | ||||
\(704\) | −23.5377 | − | 163.708i | −0.00126010 | − | 0.00876419i | ||||
\(705\) | −1041.42 | − | 1201.86i | −0.0556341 | − | 0.0642052i | ||||
\(706\) | −6683.79 | − | 14635.5i | −0.356300 | − | 0.780188i | ||||
\(707\) | −10708.0 | + | 6881.62i | −0.569613 | + | 0.366068i | ||||
\(708\) | 1628.70 | − | 11327.9i | 0.0864554 | − | 0.601310i | ||||
\(709\) | −21199.9 | − | 13624.4i | −1.12296 | − | 0.721684i | −0.158883 | − | 0.987297i | \(-0.550789\pi\) |
−0.964080 | + | 0.265613i | \(0.914426\pi\) | |||||||
\(710\) | −4630.81 | + | 5344.24i | −0.244776 | + | 0.282487i | ||||
\(711\) | 16989.0 | + | 4988.42i | 0.896114 | + | 0.263123i | ||||
\(712\) | −3678.90 | −0.193642 | ||||||||
\(713\) | −15793.8 | + | 1553.07i | −0.829570 | + | 0.0815752i | ||||
\(714\) | 6937.38 | 0.363620 | ||||||||
\(715\) | 66.2963 | + | 19.4663i | 0.00346761 | + | 0.00101818i | ||||
\(716\) | −9632.97 | + | 11117.0i | −0.502795 | + | 0.580256i | ||||
\(717\) | 14671.1 | + | 9428.57i | 0.764161 | + | 0.491097i | ||||
\(718\) | 2607.25 | − | 18133.8i | 0.135518 | − | 0.942545i | ||||
\(719\) | 1647.74 | − | 1058.94i | 0.0854665 | − | 0.0549260i | −0.497210 | − | 0.867630i | \(-0.665642\pi\) |
0.582676 | + | 0.812704i | \(0.302006\pi\) | |||||||
\(720\) | 752.912 | + | 1648.65i | 0.0389714 | + | 0.0853354i | ||||
\(721\) | −12675.0 | − | 14627.7i | −0.654704 | − | 0.755569i | ||||
\(722\) | −1742.24 | − | 12117.6i | −0.0898055 | − | 0.624611i | ||||
\(723\) | 2139.41 | − | 4684.64i | 0.110049 | − | 0.240973i | ||||
\(724\) | −16865.1 | + | 4952.05i | −0.865730 | + | 0.254201i | ||||
\(725\) | 5344.30 | − | 1569.23i | 0.273769 | − | 0.0803858i | ||||
\(726\) | 7753.34 | − | 16977.5i | 0.396355 | − | 0.867896i | ||||
\(727\) | 57.8244 | + | 402.178i | 0.00294992 | + | 0.0205171i | 0.991243 | − | 0.132049i | \(-0.0421555\pi\) |
−0.988293 | + | 0.152566i | \(0.951246\pi\) | |||||||
\(728\) | −691.045 | − | 797.508i | −0.0351811 | − | 0.0406011i | ||||
\(729\) | −5367.57 | − | 11753.3i | −0.272701 | − | 0.597131i | ||||
\(730\) | −5005.56 | + | 3216.88i | −0.253787 | + | 0.163099i | ||||
\(731\) | −930.108 | + | 6469.04i | −0.0470606 | + | 0.327313i | ||||
\(732\) | −9676.51 | − | 6218.72i | −0.488599 | − | 0.314003i | ||||
\(733\) | 17158.2 | − | 19801.7i | 0.864603 | − | 0.997805i | −0.135373 | − | 0.990795i | \(-0.543223\pi\) |
0.999975 | − | 0.00701017i | \(-0.00223143\pi\) | |||||||
\(734\) | 19235.7 | + | 5648.10i | 0.967305 | + | 0.284026i | ||||
\(735\) | 9353.80 | 0.469415 | ||||||||
\(736\) | 3141.90 | + | 1608.57i | 0.157353 | + | 0.0805605i | ||||
\(737\) | −1605.70 | −0.0802535 | ||||||||
\(738\) | −5704.50 | − | 1674.99i | −0.284533 | − | 0.0835465i | ||||
\(739\) | −25170.7 | + | 29048.6i | −1.25294 | + | 1.44597i | −0.406350 | + | 0.913717i | \(0.633199\pi\) |
−0.846587 | + | 0.532250i | \(0.821347\pi\) | |||||||
\(740\) | −6494.59 | − | 4173.82i | −0.322630 | − | 0.207342i | ||||
\(741\) | −145.673 | + | 1013.18i | −0.00722190 | + | 0.0502294i | ||||
\(742\) | 8017.75 | − | 5152.69i | 0.396686 | − | 0.254934i | ||||
\(743\) | 15603.1 | + | 34166.0i | 0.770421 | + | 1.68699i | 0.725725 | + | 0.687985i | \(0.241505\pi\) |
0.0446962 | + | 0.999001i | \(0.485768\pi\) | |||||||
\(744\) | 5311.38 | + | 6129.66i | 0.261727 | + | 0.302049i | ||||
\(745\) | 555.315 | + | 3862.30i | 0.0273090 | + | 0.189938i | ||||
\(746\) | −3165.51 | + | 6931.49i | −0.155358 | + | 0.340187i | ||||
\(747\) | 7852.51 | − | 2305.71i | 0.384616 | − | 0.112934i | ||||
\(748\) | 197.922 | − | 58.1151i | 0.00967479 | − | 0.00284077i | ||||
\(749\) | 13208.8 | − | 28923.2i | 0.644376 | − | 1.41099i | ||||
\(750\) | 250.711 | + | 1743.73i | 0.0122062 | + | 0.0848962i | ||||
\(751\) | −14403.4 | − | 16622.5i | −0.699853 | − | 0.807673i | 0.288880 | − | 0.957365i | \(-0.406717\pi\) |
−0.988733 | + | 0.149692i | \(0.952172\pi\) | |||||||
\(752\) | 300.002 | + | 656.914i | 0.0145478 | + | 0.0318553i | ||||
\(753\) | 9961.87 | − | 6402.11i | 0.482113 | − | 0.309835i | ||||
\(754\) | 339.104 | − | 2358.52i | 0.0163786 | − | 0.113915i | ||||
\(755\) | 4646.60 | + | 2986.19i | 0.223983 | + | 0.143945i | ||||
\(756\) | 1978.17 | − | 2282.93i | 0.0951658 | − | 0.109827i | ||||
\(757\) | −36002.1 | − | 10571.2i | −1.72856 | − | 0.507550i | −0.741921 | − | 0.670487i | \(-0.766085\pi\) |
−0.986637 | + | 0.162936i | \(0.947903\pi\) | |||||||
\(758\) | −3005.89 | −0.144035 | ||||||||
\(759\) | −1009.24 | − | 1736.72i | −0.0482648 | − | 0.0830554i | ||||
\(760\) | 1086.58 | 0.0518611 | ||||||||
\(761\) | −10568.3 | − | 3103.13i | −0.503416 | − | 0.147816i | 0.0201573 | − | 0.999797i | \(-0.493583\pi\) |
−0.523574 | + | 0.851980i | \(0.675401\pi\) | |||||||
\(762\) | 2808.70 | − | 3241.41i | 0.133528 | − | 0.154100i | ||||
\(763\) | 2759.98 | + | 1773.73i | 0.130954 | + | 0.0841590i | ||||
\(764\) | 1285.72 | − | 8942.37i | 0.0608844 | − | 0.423460i | ||||
\(765\) | −1901.64 | + | 1222.11i | −0.0898742 | + | 0.0577586i | ||||
\(766\) | −2800.22 | − | 6131.62i | −0.132084 | − | 0.289223i | ||||
\(767\) | −1421.81 | − | 1640.85i | −0.0669342 | − | 0.0772461i | ||||
\(768\) | −256.728 | − | 1785.58i | −0.0120623 | − | 0.0838954i | ||||
\(769\) | 7622.25 | − | 16690.4i | 0.357432 | − | 0.782667i | −0.642435 | − | 0.766341i | \(-0.722076\pi\) |
0.999867 | − | 0.0163267i | \(-0.00519719\pi\) | |||||||
\(770\) | 611.645 | − | 179.595i | 0.0286262 | − | 0.00840540i | ||||
\(771\) | 461.775 | − | 135.589i | 0.0215699 | − | 0.00633351i | ||||
\(772\) | −1405.89 | + | 3078.47i | −0.0655430 | + | 0.143519i | ||||
\(773\) | −211.712 | − | 1472.49i | −0.00985090 | − | 0.0685145i | 0.984303 | − | 0.176487i | \(-0.0564733\pi\) |
−0.994154 | + | 0.107972i | \(0.965564\pi\) | |||||||
\(774\) | −9717.98 | − | 11215.1i | −0.451299 | − | 0.520827i | ||||
\(775\) | 1494.20 | + | 3271.83i | 0.0692556 | + | 0.151649i | ||||
\(776\) | −3278.79 | + | 2107.15i | −0.151677 | + | 0.0974771i | ||||
\(777\) | 9548.88 | − | 66413.9i | 0.440880 | − | 3.06639i | ||||
\(778\) | 17868.4 | + | 11483.3i | 0.823412 | + | 0.529175i | ||||
\(779\) | −2334.13 | + | 2693.73i | −0.107354 | + | 0.123893i | ||||
\(780\) | 723.101 | + | 212.321i | 0.0331938 | + | 0.00974657i | ||||
\(781\) | −1827.43 | −0.0837269 | ||||||||
\(782\) | −1428.12 | + | 4164.22i | −0.0653061 | + | 0.190425i | ||||
\(783\) | 6820.88 | 0.311313 | ||||||||
\(784\) | −4075.65 | − | 1196.72i | −0.185662 | − | 0.0545152i | ||||
\(785\) | 10028.5 | − | 11573.5i | 0.455963 | − | 0.526210i | ||||
\(786\) | 26558.9 | + | 17068.4i | 1.20525 | + | 0.774566i | ||||
\(787\) | 4660.80 | − | 32416.6i | 0.211105 | − | 1.46827i | −0.558371 | − | 0.829591i | \(-0.688573\pi\) |
0.769476 | − | 0.638676i | \(-0.220518\pi\) | |||||||
\(788\) | −13150.6 | + | 8451.39i | −0.594507 | + | 0.382066i | ||||
\(789\) | 19318.6 | + | 42301.9i | 0.871688 | + | 1.90873i | ||||
\(790\) | −5118.03 | − | 5906.52i | −0.230495 | − | 0.266006i | ||||
\(791\) | 5569.35 | + | 38735.7i | 0.250345 | + | 1.74119i | ||||
\(792\) | −194.571 | + | 426.051i | −0.00872952 | + | 0.0191150i | ||||
\(793\) | −2093.79 | + | 614.793i | −0.0937614 | + | 0.0275308i | ||||
\(794\) | −13709.3 | + | 4025.42i | −0.612752 | + | 0.179920i | ||||
\(795\) | −2827.53 | + | 6191.43i | −0.126141 | + | 0.276210i | ||||
\(796\) | −1437.12 | − | 9995.36i | −0.0639915 | − | 0.445071i | ||||
\(797\) | 10838.6 | + | 12508.4i | 0.481709 | + | 0.555922i | 0.943631 | − | 0.330999i | \(-0.107386\pi\) |
−0.461922 | + | 0.886920i | \(0.652840\pi\) | |||||||
\(798\) | 3923.02 | + | 8590.23i | 0.174027 | + | 0.381066i | ||||
\(799\) | −757.718 | + | 486.956i | −0.0335496 | + | 0.0215610i | ||||
\(800\) | 113.852 | − | 791.857i | 0.00503159 | − | 0.0349955i | ||||
\(801\) | 8764.51 | + | 5632.61i | 0.386615 | + | 0.248462i | ||||
\(802\) | 14620.5 | − | 16872.9i | 0.643724 | − | 0.742897i | ||||
\(803\) | −1475.37 | − | 433.208i | −0.0648378 | − | 0.0190381i | ||||
\(804\) | −17513.6 | −0.768229 | ||||||||
\(805\) | −4413.36 | + | 12868.8i | −0.193231 | + | 0.563437i | ||||
\(806\) | 1538.72 | 0.0672444 | ||||||||
\(807\) | −54144.4 | − | 15898.2i | −2.36180 | − | 0.693487i | ||||
\(808\) | −2703.32 | + | 3119.80i | −0.117701 | + | 0.135834i | ||||
\(809\) | −13315.5 | − | 8557.36i | −0.578676 | − | 0.371892i | 0.218320 | − | 0.975877i | \(-0.429942\pi\) |
−0.796996 | + | 0.603985i | \(0.793579\pi\) | |||||||
\(810\) | −1177.55 | + | 8190.06i | −0.0510802 | + | 0.355271i | ||||
\(811\) | 6807.22 | − | 4374.73i | 0.294740 | − | 0.189418i | −0.384911 | − | 0.922954i | \(-0.625768\pi\) |
0.679650 | + | 0.733536i | \(0.262131\pi\) | |||||||
\(812\) | −9132.20 | − | 19996.7i | −0.394676 | − | 0.864221i | ||||
\(813\) | −11765.0 | − | 13577.6i | −0.507525 | − | 0.585716i | ||||
\(814\) | −283.929 | − | 1974.77i | −0.0122257 | − | 0.0850314i | ||||
\(815\) | −3404.60 | + | 7455.04i | −0.146329 | + | 0.320416i | ||||
\(816\) | 2158.75 | − | 633.868i | 0.0926122 | − | 0.0271934i | ||||
\(817\) | −8536.27 | + | 2506.48i | −0.365540 | + | 0.107332i | ||||
\(818\) | −4185.11 | + | 9164.12i | −0.178886 | + | 0.391707i | ||||
\(819\) | 425.294 | + | 2957.99i | 0.0181453 | + | 0.126203i | ||||
\(820\) | 1718.51 | + | 1983.27i | 0.0731867 | + | 0.0844619i | ||||
\(821\) | 865.107 | + | 1894.32i | 0.0367752 | + | 0.0805264i | 0.927128 | − | 0.374745i | \(-0.122270\pi\) |
−0.890353 | + | 0.455271i | \(0.849542\pi\) | |||||||
\(822\) | −23102.7 | + | 14847.2i | −0.980292 | + | 0.629996i | ||||
\(823\) | 356.757 | − | 2481.30i | 0.0151103 | − | 0.105094i | −0.980871 | − | 0.194661i | \(-0.937639\pi\) |
0.995981 | + | 0.0895669i | \(0.0285483\pi\) | |||||||
\(824\) | −5280.71 | − | 3393.71i | −0.223255 | − | 0.143477i | ||||
\(825\) | −298.130 | + | 344.061i | −0.0125813 | + | 0.0145196i | ||||
\(826\) | −19219.6 | − | 5643.38i | −0.809606 | − | 0.237722i | ||||
\(827\) | 35250.6 | 1.48220 | 0.741102 | − | 0.671392i | \(-0.234303\pi\) | ||||
0.741102 | + | 0.671392i | \(0.234303\pi\) | |||||||
\(828\) | −5022.36 | − | 8642.62i | −0.210796 | − | 0.362744i | ||||
\(829\) | −42855.1 | −1.79544 | −0.897719 | − | 0.440569i | \(-0.854777\pi\) | ||||
−0.897719 | + | 0.440569i | \(0.854777\pi\) | |||||||
\(830\) | −3466.06 | − | 1017.73i | −0.144950 | − | 0.0425613i | ||||
\(831\) | −18396.0 | + | 21230.1i | −0.767931 | + | 0.886239i | ||||
\(832\) | −287.906 | − | 185.026i | −0.0119968 | − | 0.00770988i | ||||
\(833\) | 753.951 | − | 5243.84i | 0.0313600 | − | 0.218113i | ||||
\(834\) | −11199.9 | + | 7197.73i | −0.465012 | + | 0.298845i | ||||
\(835\) | 526.455 | + | 1152.78i | 0.0218188 | + | 0.0477766i | ||||
\(836\) | 183.884 | + | 212.214i | 0.00760738 | + | 0.00877938i | ||||
\(837\) | 626.854 | + | 4359.87i | 0.0258868 | + | 0.180047i | ||||
\(838\) | 12274.0 | − | 26876.4i | 0.505966 | − | 1.10791i | ||||
\(839\) | 23893.7 | − | 7015.82i | 0.983196 | − | 0.288692i | 0.249653 | − | 0.968335i | \(-0.419683\pi\) |
0.733543 | + | 0.679643i | \(0.237865\pi\) | |||||||
\(840\) | 6671.28 | − | 1958.86i | 0.274025 | − | 0.0804610i | ||||
\(841\) | 10489.0 | − | 22967.7i | 0.430072 | − | 0.941725i | ||||
\(842\) | 434.716 | + | 3023.52i | 0.0177925 | + | 0.123750i | ||||
\(843\) | 13812.9 | + | 15941.0i | 0.564344 | + | 0.651288i | ||||
\(844\) | 4987.39 | + | 10920.9i | 0.203404 | + | 0.445392i | ||||
\(845\) | −9120.89 | + | 5861.64i | −0.371323 | + | 0.238635i | ||||
\(846\) | 291.055 | − | 2024.33i | 0.0118282 | − | 0.0822671i | ||||
\(847\) | −27481.7 | − | 17661.4i | −1.11486 | − | 0.716475i | ||||
\(848\) | 2024.14 | − | 2335.98i | 0.0819685 | − | 0.0945967i | ||||
\(849\) | −51549.7 | − | 15136.4i | −2.08384 | − | 0.611871i | ||||
\(850\) | 997.765 | 0.0402624 | ||||||||
\(851\) | 37899.8 | + | 19403.7i | 1.52666 | + | 0.781609i | ||||
\(852\) | −19932.0 | −0.801478 | ||||||||
\(853\) | 9589.06 | + | 2815.60i | 0.384904 | + | 0.113018i | 0.468459 | − | 0.883485i | \(-0.344809\pi\) |
−0.0835552 | + | 0.996503i | \(0.526628\pi\) | |||||||
\(854\) | −13184.1 | + | 15215.3i | −0.528281 | + | 0.609668i | ||||
\(855\) | −2588.64 | − | 1663.61i | −0.103543 | − | 0.0665432i | ||||
\(856\) | 1467.56 | − | 10207.1i | 0.0585984 | − | 0.407561i | ||||
\(857\) | 13387.0 | − | 8603.32i | 0.533596 | − | 0.342922i | −0.245933 | − | 0.969287i | \(-0.579094\pi\) |
0.779530 | + | 0.626365i | \(0.215458\pi\) | |||||||
\(858\) | 80.9045 | + | 177.156i | 0.00321916 | + | 0.00704897i | ||||
\(859\) | −11865.1 | − | 13693.0i | −0.471282 | − | 0.543888i | 0.469486 | − | 0.882940i | \(-0.344439\pi\) |
−0.940768 | + | 0.339052i | \(0.889894\pi\) | |||||||
\(860\) | 932.191 | + | 6483.53i | 0.0369622 | + | 0.257077i | ||||
\(861\) | −9474.65 | + | 20746.6i | −0.375023 | + | 0.821187i | ||||
\(862\) | 8690.74 | − | 2551.83i | 0.343396 | − | 0.100830i | ||||
\(863\) | 23792.5 | − | 6986.10i | 0.938476 | − | 0.275561i | 0.223495 | − | 0.974705i | \(-0.428253\pi\) |
0.714981 | + | 0.699144i | \(0.246435\pi\) | |||||||
\(864\) | 406.971 | − | 891.141i | 0.0160248 | − | 0.0350894i | ||||
\(865\) | −1030.30 | − | 7165.91i | −0.0404986 | − | 0.281674i | ||||
\(866\) | 9356.07 | + | 10797.5i | 0.367127 | + | 0.423687i | ||||
\(867\) | −13216.1 | − | 28939.2i | −0.517695 | − | 1.13359i | ||||
\(868\) | 11942.5 | − | 7674.99i | 0.467000 | − | 0.300122i | ||||
\(869\) | 287.434 | − | 1999.15i | 0.0112204 | − | 0.0780396i | ||||
\(870\) | 13207.5 | + | 8487.92i | 0.514684 | + | 0.330767i | ||||
\(871\) | −2175.83 | + | 2511.04i | −0.0846441 | + | 0.0976845i | ||||
\(872\) | 1020.91 | + | 299.766i | 0.0396471 | + | 0.0116414i | ||||
\(873\) | 11037.4 | 0.427905 | ||||||||
\(874\) | −5963.95 | + | 586.460i | −0.230816 | + | 0.0226972i | ||||
\(875\) | 3083.43 | 0.119130 | ||||||||
\(876\) | −16092.0 | − | 4725.05i | −0.620662 | − | 0.182243i | ||||
\(877\) | 21734.0 | − | 25082.4i | 0.836837 | − | 0.965761i | −0.162945 | − | 0.986635i | \(-0.552099\pi\) |
0.999782 | + | 0.0208738i | \(0.00664482\pi\) | |||||||
\(878\) | −995.355 | − | 639.676i | −0.0382592 | − | 0.0245877i | ||||
\(879\) | −3385.71 | + | 23548.2i | −0.129917 | + | 0.903595i | ||||
\(880\) | 173.920 | − | 111.772i | 0.00666234 | − | 0.00428162i | ||||
\(881\) | −2771.94 | − | 6069.71i | −0.106004 | − | 0.232115i | 0.849196 | − | 0.528078i | \(-0.177087\pi\) |
−0.955200 | + | 0.295962i | \(0.904360\pi\) | |||||||
\(882\) | 7877.45 | + | 9091.06i | 0.300734 | + | 0.347066i | ||||
\(883\) | 3118.87 | + | 21692.2i | 0.118866 | + | 0.826729i | 0.958808 | + | 0.284054i | \(0.0916794\pi\) |
−0.839943 | + | 0.542675i | \(0.817411\pi\) | |||||||
\(884\) | 177.314 | − | 388.264i | 0.00674630 | − | 0.0147723i | ||||
\(885\) | 13726.0 | − | 4030.31i | 0.521349 | − | 0.153082i | ||||
\(886\) | −26058.1 | + | 7651.35i | −0.988080 | + | 0.290126i | ||||
\(887\) | −9225.59 | + | 20201.2i | −0.349228 | + | 0.764702i | 0.650758 | + | 0.759286i | \(0.274451\pi\) |
−0.999985 | + | 0.00541664i | \(0.998276\pi\) | |||||||
\(888\) | −3096.84 | − | 21539.0i | −0.117031 | − | 0.813965i | ||||
\(889\) | −4916.05 | − | 5673.42i | −0.185466 | − | 0.214039i | ||||
\(890\) | −1910.34 | − | 4183.06i | −0.0719491 | − | 0.157547i | ||||
\(891\) | −1798.83 | + | 1156.04i | −0.0676355 | + | 0.0434667i | ||||
\(892\) | 531.245 | − | 3694.89i | 0.0199410 | − | 0.138693i | ||||
\(893\) | −1031.46 | − | 662.877i | −0.0386522 | − | 0.0248402i | ||||
\(894\) | −7202.47 | + | 8312.10i | −0.269448 | + | 0.310960i | ||||
\(895\) | −17642.6 | − | 5180.34i | −0.658913 | − | 0.193474i | ||||
\(896\) | −3157.43 | −0.117726 | ||||||||
\(897\) | −4083.50 | − | 775.097i | −0.152000 | − | 0.0288514i | ||||
\(898\) | 20799.8 | 0.772937 | ||||||||
\(899\) | 30756.5 | + | 9030.92i | 1.14103 | + | 0.335037i | ||||
\(900\) | −1483.61 | + | 1712.18i | −0.0549487 | + | 0.0634142i | ||||
\(901\) | 3243.07 | + | 2084.20i | 0.119914 | + | 0.0770640i | ||||
\(902\) | −96.5134 | + | 671.266i | −0.00356269 | + | 0.0247790i | ||||
\(903\) | −47891.5 | + | 30778.0i | −1.76493 | + | 1.13425i | ||||
\(904\) | 5272.33 | + | 11544.8i | 0.193977 | + | 0.424750i | ||||
\(905\) | −14388.2 | − | 16604.9i | −0.528487 | − | 0.609907i | ||||
\(906\) | 2215.66 | + | 15410.2i | 0.0812475 | + | 0.565089i | ||||
\(907\) | 6040.42 | − | 13226.7i | 0.221135 | − | 0.484217i | −0.766253 | − | 0.642539i | \(-0.777881\pi\) |
0.987388 | + | 0.158322i | \(0.0506084\pi\) | |||||||
\(908\) | 8329.35 | − | 2445.72i | 0.304426 | − | 0.0893876i | ||||
\(909\) | 11216.9 | − | 3293.57i | 0.409285 | − | 0.120177i | ||||
\(910\) | 547.961 | − | 1199.87i | 0.0199612 | − | 0.0437090i | ||||
\(911\) | −1028.76 | − | 7155.16i | −0.0374141 | − | 0.260221i | 0.962526 | − | 0.271190i | \(-0.0874173\pi\) |
−0.999940 | + | 0.0109696i | \(0.996508\pi\) | |||||||
\(912\) | 2005.64 | + | 2314.64i | 0.0728219 | + | 0.0840409i | ||||
\(913\) | −387.803 | − | 849.169i | −0.0140574 | − | 0.0307814i | ||||
\(914\) | −26323.0 | + | 16916.8i | −0.952613 | + | 0.612207i | ||||
\(915\) | 2046.22 | − | 14231.8i | 0.0739300 | − | 0.514194i | ||||
\(916\) | 4463.06 | + | 2868.23i | 0.160986 | + | 0.103460i | ||||
\(917\) | 36186.2 | − | 41761.1i | 1.30313 | − | 1.50390i | ||||
\(918\) | 1172.36 | + | 344.236i | 0.0421499 | + | 0.0123763i | ||||
\(919\) | −30858.0 | −1.10763 | −0.553814 | − | 0.832640i | \(-0.686828\pi\) | ||||
−0.553814 | + | 0.832640i | \(0.686828\pi\) | |||||||
\(920\) | −197.513 | + | 4407.74i | −0.00707806 | + | 0.157955i | ||||
\(921\) | −49115.5 | −1.75723 | ||||||||
\(922\) | −13294.9 | − | 3903.75i | −0.474887 | − | 0.139439i | ||||
\(923\) | −2476.28 | + | 2857.78i | −0.0883075 | + | 0.101912i | ||||
\(924\) | 1511.57 | + | 971.426i | 0.0538170 | + | 0.0345861i | ||||
\(925\) | 1373.36 | − | 9551.95i | 0.0488172 | − | 0.339531i | ||||
\(926\) | 23319.1 | − | 14986.3i | 0.827552 | − | 0.531836i | ||||
\(927\) | 7384.65 | + | 16170.1i | 0.261644 | + | 0.572920i | ||||
\(928\) | −4668.83 | − | 5388.12i | −0.165153 | − | 0.190597i | ||||
\(929\) | 4222.30 | + | 29366.8i | 0.149117 | + | 1.03713i | 0.917670 | + | 0.397343i | \(0.130068\pi\) |
−0.768554 | + | 0.639785i | \(0.779023\pi\) | |||||||
\(930\) | −4211.64 | + | 9222.20i | −0.148500 | + | 0.325170i | ||||
\(931\) | 6919.55 | − | 2031.76i | 0.243587 | − | 0.0715235i | ||||
\(932\) | 20843.5 | − | 6120.19i | 0.732564 | − | 0.215100i | ||||
\(933\) | −20086.5 | + | 43983.4i | −0.704828 | + | 1.54336i | ||||
\(934\) | 248.642 | + | 1729.35i | 0.00871074 | + | 0.0605845i | ||||
\(935\) | 168.854 | + | 194.868i | 0.00590600 | + | 0.00681589i | ||||
\(936\) | 402.613 | + | 881.600i | 0.0140596 | + | 0.0307863i | ||||
\(937\) | −22056.2 | + | 14174.7i | −0.768991 | + | 0.494201i | −0.865363 | − | 0.501145i | \(-0.832912\pi\) |
0.0963724 | + | 0.995345i | \(0.469276\pi\) | |||||||
\(938\) | −4362.50 | + | 30341.9i | −0.151856 | + | 1.05618i | ||||
\(939\) | 47238.7 | + | 30358.4i | 1.64172 | + | 1.05507i | ||||
\(940\) | −591.155 | + | 682.229i | −0.0205121 | + | 0.0236722i | ||||
\(941\) | 14963.4 | + | 4393.65i | 0.518377 | + | 0.152209i | 0.530447 | − | 0.847718i | \(-0.322024\pi\) |
−0.0120704 | + | 0.999927i | \(0.503842\pi\) | |||||||
\(942\) | 43164.7 | 1.49297 | ||||||||
\(943\) | −10502.9 | − | 9958.10i | −0.362695 | − | 0.343882i | ||||
\(944\) | −6496.33 | −0.223981 | ||||||||
\(945\) | 3622.98 | + | 1063.80i | 0.124715 | + | 0.0366196i | ||||
\(946\) | −1108.50 | + | 1279.28i | −0.0380979 | + | 0.0439673i | ||||
\(947\) | 2788.98 | + | 1792.37i | 0.0957019 | + | 0.0615039i | 0.587616 | − | 0.809140i | \(-0.300066\pi\) |
−0.491915 | + | 0.870643i | \(0.663703\pi\) | |||||||
\(948\) | 3135.07 | − | 21804.9i | 0.107408 | − | 0.747036i | ||||
\(949\) | −2676.68 | + | 1720.20i | −0.0915582 | + | 0.0588409i | ||||
\(950\) | 564.227 | + | 1235.48i | 0.0192694 | + | 0.0421941i | ||||
\(951\) | 24995.9 | + | 28846.8i | 0.852309 | + | 0.983617i | ||||
\(952\) | −560.431 | − | 3897.88i | −0.0190795 | − | 0.132701i | ||||
\(953\) | −4487.65 | + | 9826.57i | −0.152538 | + | 0.334013i | −0.970439 | − | 0.241347i | \(-0.922411\pi\) |
0.817900 | + | 0.575360i | \(0.195138\pi\) | |||||||
\(954\) | −8398.77 | + | 2466.10i | −0.285032 | + | 0.0836929i | ||||
\(955\) | 10835.5 | − | 3181.58i | 0.367149 | − | 0.107805i | ||||
\(956\) | 4112.40 | − | 9004.91i | 0.139126 | − | 0.304644i | ||||
\(957\) | 577.400 | + | 4015.90i | 0.0195033 | + | 0.135649i | ||||
\(958\) | −14671.5 | − | 16931.8i | −0.494795 | − | 0.571024i | ||||
\(959\) | 19967.7 | + | 43723.3i | 0.672359 | + | 1.47226i | ||||
\(960\) | 1896.97 | − | 1219.11i | 0.0637754 | − | 0.0409860i | ||||
\(961\) | 1293.78 | − | 8998.44i | 0.0434286 | − | 0.302052i | ||||
\(962\) | −3472.93 | − | 2231.91i | −0.116395 | − | 0.0748023i | ||||
\(963\) | −19123.9 | + | 22070.2i | −0.639938 | + | 0.738528i | ||||
\(964\) | −2804.98 | − | 823.616i | −0.0937160 | − | 0.0275175i | ||||
\(965\) | −4230.38 | −0.141120 | ||||||||
\(966\) | −35559.6 | + | 14352.4i | −1.18438 | + | 0.478033i | ||||
\(967\) | 35377.3 | 1.17648 | 0.588241 | − | 0.808685i | \(-0.299820\pi\) | ||||
0.588241 | + | 0.808685i | \(0.299820\pi\) | |||||||
\(968\) | −10165.4 | − | 2984.84i | −0.337530 | − | 0.0991077i | ||||
\(969\) | −2501.45 | + | 2886.83i | −0.0829290 | + | 0.0957052i | ||||
\(970\) | −4098.48 | − | 2633.94i | −0.135664 | − | 0.0871862i | ||||
\(971\) | 5101.97 | − | 35485.0i | 0.168620 | − | 1.17278i | −0.713120 | − | 0.701042i | \(-0.752718\pi\) |
0.881740 | − | 0.471736i | \(-0.156373\pi\) | |||||||
\(972\) | −16838.6 | + | 10821.5i | −0.555655 | + | 0.357098i | ||||
\(973\) | 9680.08 | + | 21196.4i | 0.318941 | + | 0.698382i | ||||
\(974\) | 18630.6 | + | 21500.8i | 0.612897 | + | 0.707321i | ||||
\(975\) | 134.066 | + | 932.446i | 0.00440362 | + | 0.0306279i | ||||
\(976\) | −2712.38 | + | 5939.29i | −0.0889562 | + | 0.194787i | ||||
\(977\) | 40762.0 | − | 11968.8i | 1.33479 | − | 0.391931i | 0.464984 | − | 0.885319i | \(-0.346060\pi\) |
0.869809 | + | 0.493388i | \(0.164242\pi\) | |||||||
\(978\) | −22165.1 | + | 6508.26i | −0.724705 | + | 0.212793i | ||||
\(979\) | 493.679 | − | 1081.01i | 0.0161165 | − | 0.0352902i | ||||
\(980\) | −755.640 | − | 5255.59i | −0.0246306 | − | 0.171310i | ||||
\(981\) | −1973.22 | − | 2277.22i | −0.0642203 | − | 0.0741142i | ||||
\(982\) | −16672.9 | − | 36508.6i | −0.541807 | − | 1.18639i | ||||
\(983\) | −45476.2 | + | 29225.8i | −1.47555 | + | 0.948279i | −0.477998 | + | 0.878361i | \(0.658637\pi\) |
−0.997553 | + | 0.0699177i | \(0.977726\pi\) | |||||||
\(984\) | −1052.68 | + | 7321.57i | −0.0341039 | + | 0.237198i | ||||
\(985\) | −16438.3 | − | 10564.2i | −0.531743 | − | 0.341731i | ||||
\(986\) | 5822.99 | − | 6720.09i | 0.188075 | − | 0.217050i | ||||
\(987\) | −7527.86 | − | 2210.38i | −0.242770 | − | 0.0712838i | ||||
\(988\) | 581.039 | 0.0187098 | ||||||||
\(989\) | −8615.91 | − | 35083.2i | −0.277017 | − | 1.12799i | ||||
\(990\) | −585.472 | −0.0187955 | ||||||||
\(991\) | 25695.6 | + | 7544.90i | 0.823660 | + | 0.241848i | 0.666291 | − | 0.745692i | \(-0.267881\pi\) |
0.157368 | + | 0.987540i | \(0.449699\pi\) | |||||||
\(992\) | 3014.98 | − | 3479.47i | 0.0964977 | − | 0.111364i | ||||
\(993\) | 35798.1 | + | 23006.0i | 1.14403 | + | 0.735220i | ||||
\(994\) | −4964.91 | + | 34531.7i | −0.158428 | + | 1.10189i | ||||
\(995\) | 10618.9 | − | 6824.34i | 0.338333 | − | 0.217433i | ||||
\(996\) | −4229.80 | − | 9261.98i | −0.134565 | − | 0.294656i | ||||
\(997\) | −27558.0 | − | 31803.7i | −0.875398 | − | 1.01026i | −0.999837 | − | 0.0180359i | \(-0.994259\pi\) |
0.124439 | − | 0.992227i | \(-0.460287\pi\) | |||||||
\(998\) | 785.260 | + | 5461.61i | 0.0249068 | + | 0.173231i | ||||
\(999\) | 4909.17 | − | 10749.6i | 0.155475 | − | 0.340442i |
(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 | 230.4.g.b.41.1 | ✓ | 60 | |
23.9 | even | 11 | inner | 230.4.g.b.101.1 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.4.g.b.41.1 | ✓ | 60 | 1.1 | even | 1 | trivial | |
230.4.g.b.101.1 | yes | 60 | 23.9 | even | 11 | inner |