Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,4,Mod(2,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.w (of order \(60\), degree \(16\), 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: | \(8.43727313082\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.9 | ||
Character | \(\chi\) | \(=\) | 143.2 |
Dual form | 143.4.w.a.72.9 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.96020 | − | 1.92238i | −1.04659 | − | 0.679663i | −0.0976821 | − | 0.995218i | \(-0.531143\pi\) |
−0.948907 | + | 0.315554i | \(0.897809\pi\) | |||||||
\(3\) | −4.52412 | − | 2.01427i | −0.870667 | − | 0.387646i | −0.0777482 | − | 0.996973i | \(-0.524773\pi\) |
−0.792919 | + | 0.609327i | \(0.791440\pi\) | |||||||
\(4\) | 1.81337 | + | 4.07289i | 0.226671 | + | 0.509111i | ||||
\(5\) | −3.12928 | − | 1.59445i | −0.279892 | − | 0.142612i | 0.308410 | − | 0.951254i | \(-0.400203\pi\) |
−0.588302 | + | 0.808642i | \(0.700203\pi\) | |||||||
\(6\) | 9.52013 | + | 14.6597i | 0.647762 | + | 0.997467i | ||||
\(7\) | −1.90673 | + | 4.96720i | −0.102954 | + | 0.268204i | −0.975376 | − | 0.220550i | \(-0.929215\pi\) |
0.872422 | + | 0.488753i | \(0.162548\pi\) | |||||||
\(8\) | −1.95556 | + | 12.3469i | −0.0864242 | + | 0.545661i | ||||
\(9\) | −1.65614 | − | 1.83933i | −0.0613386 | − | 0.0681234i | ||||
\(10\) | 6.19818 | + | 10.7356i | 0.196004 | + | 0.339488i | ||||
\(11\) | −22.2175 | + | 28.9376i | −0.608983 | + | 0.793183i | ||||
\(12\) | − | 22.0788i | − | 0.531135i | ||||||
\(13\) | 30.4715 | + | 35.6158i | 0.650098 | + | 0.759850i | ||||
\(14\) | 15.1931 | − | 11.0385i | 0.290038 | − | 0.210725i | ||||
\(15\) | 10.9456 | + | 13.5167i | 0.188410 | + | 0.232666i | ||||
\(16\) | 53.3899 | − | 59.2955i | 0.834217 | − | 0.926492i | ||||
\(17\) | −63.1146 | − | 13.4154i | −0.900444 | − | 0.191395i | −0.265643 | − | 0.964071i | \(-0.585584\pi\) |
−0.634800 | + | 0.772676i | \(0.718918\pi\) | |||||||
\(18\) | 1.36662 | + | 8.62853i | 0.0178954 | + | 0.112987i | ||||
\(19\) | 19.9480 | − | 24.6338i | 0.240863 | − | 0.297441i | −0.642352 | − | 0.766410i | \(-0.722041\pi\) |
0.883215 | + | 0.468969i | \(0.155374\pi\) | |||||||
\(20\) | 0.819477 | − | 15.6366i | 0.00916203 | − | 0.174822i | ||||
\(21\) | 18.6315 | − | 18.6315i | 0.193606 | − | 0.193606i | ||||
\(22\) | 121.397 | − | 42.9508i | 1.17645 | − | 0.416234i | ||||
\(23\) | 163.833 | − | 94.5890i | 1.48528 | − | 0.857529i | 0.485425 | − | 0.874278i | \(-0.338665\pi\) |
0.999860 | + | 0.0167492i | \(0.00533167\pi\) | |||||||
\(24\) | 33.7171 | − | 51.9198i | 0.286770 | − | 0.441587i | ||||
\(25\) | −66.2230 | − | 91.1482i | −0.529784 | − | 0.729185i | ||||
\(26\) | −21.7347 | − | 164.008i | −0.163943 | − | 1.23710i | ||||
\(27\) | 45.1067 | + | 138.824i | 0.321511 | + | 0.989508i | ||||
\(28\) | −23.6885 | + | 1.24146i | −0.159882 | + | 0.00837906i | ||||
\(29\) | 4.82825 | + | 0.507470i | 0.0309167 | + | 0.00324948i | 0.119974 | − | 0.992777i | \(-0.461719\pi\) |
−0.0890575 | + | 0.996026i | \(0.528385\pi\) | |||||||
\(30\) | −6.41701 | − | 61.0538i | −0.0390527 | − | 0.371561i | ||||
\(31\) | −30.6827 | − | 60.2182i | −0.177767 | − | 0.348887i | 0.784880 | − | 0.619648i | \(-0.212725\pi\) |
−0.962647 | + | 0.270761i | \(0.912725\pi\) | |||||||
\(32\) | −175.434 | + | 47.0075i | −0.969147 | + | 0.259682i | ||||
\(33\) | 158.803 | − | 86.1653i | 0.837696 | − | 0.454529i | ||||
\(34\) | 161.043 | + | 161.043i | 0.812311 | + | 0.812311i | ||||
\(35\) | 13.8866 | − | 12.5036i | 0.0670649 | − | 0.0603855i | ||||
\(36\) | 4.48820 | − | 10.0807i | 0.0207787 | − | 0.0466698i | ||||
\(37\) | 148.297 | − | 120.089i | 0.658916 | − | 0.533580i | −0.240513 | − | 0.970646i | \(-0.577316\pi\) |
0.899429 | + | 0.437066i | \(0.143982\pi\) | |||||||
\(38\) | −106.406 | + | 34.5733i | −0.454244 | + | 0.147593i | ||||
\(39\) | −66.1169 | − | 222.508i | −0.271466 | − | 0.913585i | ||||
\(40\) | 25.8060 | − | 35.5189i | 0.102007 | − | 0.140401i | ||||
\(41\) | 170.367 | + | 443.821i | 0.648948 | + | 1.69057i | 0.720792 | + | 0.693151i | \(0.243778\pi\) |
−0.0718440 | + | 0.997416i | \(0.522888\pi\) | |||||||
\(42\) | −90.9700 | + | 19.3363i | −0.334214 | + | 0.0710393i | ||||
\(43\) | 181.633 | − | 314.597i | 0.644156 | − | 1.11571i | −0.340339 | − | 0.940303i | \(-0.610542\pi\) |
0.984496 | − | 0.175409i | \(-0.0561247\pi\) | |||||||
\(44\) | −158.148 | − | 38.0148i | −0.541857 | − | 0.130249i | ||||
\(45\) | 2.24982 | + | 8.39643i | 0.00745295 | + | 0.0278148i | ||||
\(46\) | −666.815 | − | 34.9463i | −2.13731 | − | 0.112012i | ||||
\(47\) | −110.067 | − | 17.4329i | −0.341595 | − | 0.0541033i | −0.0167198 | − | 0.999860i | \(-0.505322\pi\) |
−0.324875 | + | 0.945757i | \(0.605322\pi\) | |||||||
\(48\) | −360.979 | + | 160.718i | −1.08548 | + | 0.483285i | ||||
\(49\) | 233.861 | + | 210.570i | 0.681811 | + | 0.613905i | ||||
\(50\) | 20.8123 | + | 397.123i | 0.0588661 | + | 1.12323i | ||||
\(51\) | 258.516 | + | 187.823i | 0.709793 | + | 0.515695i | ||||
\(52\) | −89.8033 | + | 188.692i | −0.239490 | + | 0.503208i | ||||
\(53\) | −105.090 | + | 323.434i | −0.272363 | + | 0.838247i | 0.717542 | + | 0.696515i | \(0.245267\pi\) |
−0.989905 | + | 0.141732i | \(0.954733\pi\) | |||||||
\(54\) | 133.348 | − | 497.660i | 0.336043 | − | 1.25413i | ||||
\(55\) | 115.664 | − | 55.1294i | 0.283567 | − | 0.135157i | ||||
\(56\) | −57.6008 | − | 33.2558i | −0.137450 | − | 0.0793571i | ||||
\(57\) | −139.866 | + | 71.2655i | −0.325013 | + | 0.165602i | ||||
\(58\) | −13.3171 | − | 10.7839i | −0.0301485 | − | 0.0244138i | ||||
\(59\) | −193.228 | − | 74.1735i | −0.426376 | − | 0.163671i | 0.135711 | − | 0.990748i | \(-0.456668\pi\) |
−0.562087 | + | 0.827078i | \(0.690001\pi\) | |||||||
\(60\) | −35.2036 | + | 69.0910i | −0.0757461 | + | 0.148660i | ||||
\(61\) | −169.770 | + | 798.707i | −0.356342 | + | 1.67646i | 0.325957 | + | 0.945385i | \(0.394314\pi\) |
−0.682299 | + | 0.731073i | \(0.739020\pi\) | |||||||
\(62\) | −24.9351 | + | 237.242i | −0.0510768 | + | 0.485963i | ||||
\(63\) | 12.2941 | − | 4.71928i | 0.0245860 | − | 0.00943767i | ||||
\(64\) | 2.60966 | + | 0.847930i | 0.00509699 | + | 0.00165611i | ||||
\(65\) | −38.5663 | − | 160.037i | −0.0735933 | − | 0.305388i | ||||
\(66\) | −635.730 | − | 50.2118i | −1.18565 | − | 0.0936462i | ||||
\(67\) | 997.411 | + | 267.255i | 1.81870 | + | 0.487320i | 0.996628 | − | 0.0820578i | \(-0.0261492\pi\) |
0.822076 | + | 0.569378i | \(0.192816\pi\) | |||||||
\(68\) | −59.8104 | − | 281.386i | −0.106663 | − | 0.501810i | ||||
\(69\) | −931.728 | + | 97.9285i | −1.62561 | + | 0.170858i | ||||
\(70\) | −65.1439 | + | 10.3178i | −0.111231 | + | 0.0176173i | ||||
\(71\) | −694.438 | + | 450.973i | −1.16077 | + | 0.753813i | −0.973543 | − | 0.228504i | \(-0.926617\pi\) |
−0.187227 | + | 0.982317i | \(0.559950\pi\) | |||||||
\(72\) | 25.9487 | − | 16.8513i | 0.0424734 | − | 0.0275826i | ||||
\(73\) | 1099.21 | − | 174.099i | 1.76237 | − | 0.279133i | 0.810527 | − | 0.585702i | \(-0.199181\pi\) |
0.951848 | + | 0.306569i | \(0.0991811\pi\) | |||||||
\(74\) | −669.845 | + | 70.4036i | −1.05227 | + | 0.110598i | ||||
\(75\) | 116.004 | + | 545.756i | 0.178600 | + | 0.840246i | ||||
\(76\) | 136.504 | + | 36.5761i | 0.206027 | + | 0.0552048i | ||||
\(77\) | −101.376 | − | 165.535i | −0.150037 | − | 0.244993i | ||||
\(78\) | −232.025 | + | 785.770i | −0.336816 | + | 1.14065i | ||||
\(79\) | 77.2067 | + | 25.0860i | 0.109955 | + | 0.0357265i | 0.363478 | − | 0.931603i | \(-0.381589\pi\) |
−0.253523 | + | 0.967329i | \(0.581589\pi\) | |||||||
\(80\) | −261.616 | + | 100.425i | −0.365619 | + | 0.140348i | ||||
\(81\) | 68.5756 | − | 652.453i | 0.0940681 | − | 0.894998i | ||||
\(82\) | 348.871 | − | 1641.31i | 0.469834 | − | 2.21040i | ||||
\(83\) | 409.389 | − | 803.471i | 0.541401 | − | 1.06256i | −0.444586 | − | 0.895736i | \(-0.646649\pi\) |
0.985987 | − | 0.166823i | \(-0.0533509\pi\) | |||||||
\(84\) | 109.670 | + | 42.0984i | 0.142452 | + | 0.0546823i | ||||
\(85\) | 176.113 | + | 142.614i | 0.224731 | + | 0.181984i | ||||
\(86\) | −1142.44 | + | 582.104i | −1.43248 | + | 0.729883i | ||||
\(87\) | −20.8214 | − | 12.0213i | −0.0256585 | − | 0.0148139i | ||||
\(88\) | −313.842 | − | 330.906i | −0.380178 | − | 0.400848i | ||||
\(89\) | 94.2889 | − | 351.891i | 0.112299 | − | 0.419105i | −0.886772 | − | 0.462208i | \(-0.847058\pi\) |
0.999071 | + | 0.0431024i | \(0.0137242\pi\) | |||||||
\(90\) | 9.48120 | − | 29.1801i | 0.0111045 | − | 0.0341762i | ||||
\(91\) | −235.012 | + | 83.4483i | −0.270725 | + | 0.0961292i | ||||
\(92\) | 682.340 | + | 495.749i | 0.773249 | + | 0.561798i | ||||
\(93\) | 17.5166 | + | 334.237i | 0.0195311 | + | 0.372675i | ||||
\(94\) | 292.309 | + | 263.196i | 0.320738 | + | 0.288794i | ||||
\(95\) | −101.700 | + | 45.2799i | −0.109834 | + | 0.0489013i | ||||
\(96\) | 888.372 | + | 140.704i | 0.944470 | + | 0.149589i | ||||
\(97\) | 114.477 | + | 5.99946i | 0.119828 | + | 0.00627993i | 0.112156 | − | 0.993691i | \(-0.464224\pi\) |
0.00767241 | + | 0.999971i | \(0.497558\pi\) | |||||||
\(98\) | −287.482 | − | 1072.90i | −0.296327 | − | 1.10591i | ||||
\(99\) | 90.0211 | − | 7.05950i | 0.0913885 | − | 0.00716673i | ||||
\(100\) | 251.150 | − | 435.004i | 0.251150 | − | 0.435004i | ||||
\(101\) | 1040.80 | − | 221.229i | 1.02538 | − | 0.217952i | 0.335627 | − | 0.941995i | \(-0.391052\pi\) |
0.689755 | + | 0.724043i | \(0.257718\pi\) | |||||||
\(102\) | −404.193 | − | 1052.96i | −0.392363 | − | 1.02214i | ||||
\(103\) | 90.0114 | − | 123.890i | 0.0861076 | − | 0.118517i | −0.763790 | − | 0.645465i | \(-0.776664\pi\) |
0.849898 | + | 0.526948i | \(0.176664\pi\) | |||||||
\(104\) | −499.334 | + | 306.580i | −0.470805 | + | 0.289063i | ||||
\(105\) | −88.0105 | + | 28.5963i | −0.0817994 | + | 0.0265782i | ||||
\(106\) | 932.850 | − | 755.407i | 0.854777 | − | 0.692185i | ||||
\(107\) | −336.311 | + | 755.367i | −0.303854 | + | 0.682468i | −0.999350 | − | 0.0360627i | \(-0.988518\pi\) |
0.695495 | + | 0.718531i | \(0.255185\pi\) | |||||||
\(108\) | −483.620 | + | 435.454i | −0.430893 | + | 0.387977i | ||||
\(109\) | 1285.18 | + | 1285.18i | 1.12933 | + | 1.12933i | 0.990286 | + | 0.139049i | \(0.0444045\pi\) |
0.139049 | + | 0.990286i | \(0.455595\pi\) | |||||||
\(110\) | −448.369 | − | 59.1564i | −0.388639 | − | 0.0512759i | ||||
\(111\) | −912.804 | + | 244.585i | −0.780537 | + | 0.209144i | ||||
\(112\) | 192.732 | + | 378.259i | 0.162603 | + | 0.319126i | ||||
\(113\) | 30.0753 | + | 286.147i | 0.0250376 | + | 0.238216i | 0.999882 | + | 0.0153321i | \(0.00488055\pi\) |
−0.974845 | + | 0.222884i | \(0.928453\pi\) | |||||||
\(114\) | 551.032 | + | 57.9158i | 0.452709 | + | 0.0475817i | ||||
\(115\) | −663.497 | + | 34.7724i | −0.538013 | + | 0.0281960i | ||||
\(116\) | 6.68853 | + | 20.5852i | 0.00535357 | + | 0.0164766i | ||||
\(117\) | 15.0442 | − | 115.032i | 0.0118875 | − | 0.0908951i | ||||
\(118\) | 429.406 | + | 591.027i | 0.335000 | + | 0.461088i | ||||
\(119\) | 186.980 | − | 287.923i | 0.144037 | − | 0.221797i | ||||
\(120\) | −188.294 | + | 108.712i | −0.143240 | + | 0.0826997i | ||||
\(121\) | −343.769 | − | 1285.84i | −0.258279 | − | 0.966070i | ||||
\(122\) | 2037.97 | − | 2037.97i | 1.51237 | − | 1.51237i | ||||
\(123\) | 123.214 | − | 2351.07i | 0.0903240 | − | 1.72348i | ||||
\(124\) | 189.623 | − | 234.165i | 0.137328 | − | 0.169586i | ||||
\(125\) | 130.576 | + | 824.422i | 0.0934324 | + | 0.589909i | ||||
\(126\) | −45.4654 | − | 9.66397i | −0.0321459 | − | 0.00683282i | ||||
\(127\) | 1042.51 | − | 1157.83i | 0.728410 | − | 0.808981i | −0.259214 | − | 0.965820i | \(-0.583464\pi\) |
0.987624 | + | 0.156839i | \(0.0501302\pi\) | |||||||
\(128\) | 908.298 | + | 1121.65i | 0.627210 | + | 0.774540i | ||||
\(129\) | −1455.41 | + | 1057.42i | −0.993347 | + | 0.721709i | ||||
\(130\) | −193.488 | + | 547.882i | −0.130539 | + | 0.369634i | ||||
\(131\) | − | 1498.22i | − | 0.999239i | −0.866245 | − | 0.499620i | \(-0.833473\pi\) | ||
0.866245 | − | 0.499620i | \(-0.166527\pi\) | |||||||
\(132\) | 638.909 | + | 490.536i | 0.421287 | + | 0.323452i | ||||
\(133\) | 84.3254 | + | 146.056i | 0.0549770 | + | 0.0952229i | ||||
\(134\) | −2438.77 | − | 2708.53i | −1.57222 | − | 1.74613i | ||||
\(135\) | 80.1965 | − | 506.341i | 0.0511275 | − | 0.322806i | ||||
\(136\) | 289.063 | − | 753.035i | 0.182257 | − | 0.474796i | ||||
\(137\) | 943.873 | + | 1453.44i | 0.588617 | + | 0.906390i | 0.999987 | − | 0.00507805i | \(-0.00161640\pi\) |
−0.411370 | + | 0.911468i | \(0.634950\pi\) | |||||||
\(138\) | 2946.36 | + | 1501.24i | 1.81747 | + | 0.926046i | ||||
\(139\) | 428.209 | + | 961.773i | 0.261296 | + | 0.586881i | 0.995783 | − | 0.0917421i | \(-0.0292435\pi\) |
−0.734486 | + | 0.678623i | \(0.762577\pi\) | |||||||
\(140\) | 76.1074 | + | 33.8852i | 0.0459446 | + | 0.0204559i | ||||
\(141\) | 462.843 | + | 300.574i | 0.276443 | + | 0.179524i | ||||
\(142\) | 2922.62 | 1.72719 | ||||||||
\(143\) | −1707.64 | + | 90.4789i | −0.998599 | + | 0.0529107i | ||||
\(144\) | −197.485 | −0.114285 | ||||||||
\(145\) | −14.2998 | − | 9.28643i | −0.00818991 | − | 0.00531859i | ||||
\(146\) | −3588.58 | − | 1597.74i | −2.03420 | − | 0.905684i | ||||
\(147\) | −633.873 | − | 1423.70i | −0.355653 | − | 0.798809i | ||||
\(148\) | 758.025 | + | 386.233i | 0.421008 | + | 0.214515i | ||||
\(149\) | 10.6446 | + | 16.3912i | 0.00585261 | + | 0.00901223i | 0.841585 | − | 0.540125i | \(-0.181623\pi\) |
−0.835732 | + | 0.549137i | \(0.814956\pi\) | |||||||
\(150\) | 705.754 | − | 1838.55i | 0.384164 | − | 1.00078i | ||||
\(151\) | −255.525 | + | 1613.32i | −0.137711 | + | 0.869472i | 0.818011 | + | 0.575202i | \(0.195077\pi\) |
−0.955722 | + | 0.294270i | \(0.904923\pi\) | |||||||
\(152\) | 265.141 | + | 294.469i | 0.141485 | + | 0.157135i | ||||
\(153\) | 79.8514 | + | 138.307i | 0.0421935 | + | 0.0730812i | ||||
\(154\) | −18.1263 | + | 684.900i | −0.00948480 | + | 0.358382i | ||||
\(155\) | 237.362i | 0.123002i | ||||||||
\(156\) | 786.357 | − | 672.776i | 0.403583 | − | 0.345290i | ||||
\(157\) | −1700.06 | + | 1235.17i | −0.864202 | + | 0.627879i | −0.929025 | − | 0.370017i | \(-0.879352\pi\) |
0.0648229 | + | 0.997897i | \(0.479352\pi\) | |||||||
\(158\) | −180.323 | − | 222.680i | −0.0907956 | − | 0.112123i | ||||
\(159\) | 1126.92 | − | 1251.57i | 0.562080 | − | 0.624253i | ||||
\(160\) | 623.935 | + | 132.622i | 0.308290 | + | 0.0655291i | ||||
\(161\) | 157.457 | + | 994.147i | 0.0770769 | + | 0.486644i | ||||
\(162\) | −1457.26 | + | 1799.57i | −0.706748 | + | 0.872761i | ||||
\(163\) | 116.448 | − | 2221.97i | 0.0559567 | − | 1.06772i | −0.815974 | − | 0.578089i | \(-0.803799\pi\) |
0.871931 | − | 0.489629i | \(-0.162868\pi\) | |||||||
\(164\) | −1498.70 | + | 1498.70i | −0.713589 | + | 0.713589i | ||||
\(165\) | −634.324 | + | 16.4329i | −0.299285 | + | 0.00775334i | ||||
\(166\) | −2756.45 | + | 1591.44i | −1.28881 | + | 0.744093i | ||||
\(167\) | −1060.67 | + | 1633.29i | −0.491479 | + | 0.756811i | −0.994190 | − | 0.107644i | \(-0.965669\pi\) |
0.502711 | + | 0.864455i | \(0.332336\pi\) | |||||||
\(168\) | 193.607 | + | 266.477i | 0.0889112 | + | 0.122376i | ||||
\(169\) | −339.975 | + | 2170.54i | −0.154745 | + | 0.987954i | ||||
\(170\) | −247.174 | − | 760.722i | −0.111514 | − | 0.343204i | ||||
\(171\) | −78.3465 | + | 4.10597i | −0.0350369 | + | 0.00183620i | ||||
\(172\) | 1610.69 | + | 169.290i | 0.714033 | + | 0.0750479i | ||||
\(173\) | −5.94639 | − | 56.5762i | −0.00261327 | − | 0.0248636i | 0.993138 | − | 0.116952i | \(-0.0373124\pi\) |
−0.995751 | + | 0.0920885i | \(0.970646\pi\) | |||||||
\(174\) | 38.5262 | + | 75.6120i | 0.0167854 | + | 0.0329433i | ||||
\(175\) | 579.020 | − | 155.148i | 0.250113 | − | 0.0670177i | ||||
\(176\) | 529.681 | + | 2862.37i | 0.226854 | + | 1.22590i | ||||
\(177\) | 724.783 | + | 724.783i | 0.307786 | + | 0.307786i | ||||
\(178\) | −955.581 | + | 860.409i | −0.402381 | + | 0.362306i | ||||
\(179\) | −726.335 | + | 1631.38i | −0.303290 | + | 0.681200i | −0.999322 | − | 0.0368103i | \(-0.988280\pi\) |
0.696033 | + | 0.718010i | \(0.254947\pi\) | |||||||
\(180\) | −30.1180 | + | 24.3891i | −0.0124715 | + | 0.0100992i | ||||
\(181\) | −2938.15 | + | 954.664i | −1.20658 | + | 0.392042i | −0.842178 | − | 0.539199i | \(-0.818727\pi\) |
−0.364403 | + | 0.931241i | \(0.618727\pi\) | |||||||
\(182\) | 856.102 | + | 204.758i | 0.348673 | + | 0.0833937i | ||||
\(183\) | 2376.87 | − | 3271.48i | 0.960128 | − | 1.32150i | ||||
\(184\) | 847.496 | + | 2207.80i | 0.339556 | + | 0.884572i | ||||
\(185\) | −655.539 | + | 139.339i | −0.260520 | + | 0.0553752i | ||||
\(186\) | 590.678 | − | 1023.08i | 0.232853 | − | 0.403313i | ||||
\(187\) | 1790.46 | − | 1528.33i | 0.700167 | − | 0.597660i | ||||
\(188\) | −128.590 | − | 479.904i | −0.0498850 | − | 0.186174i | ||||
\(189\) | −775.574 | − | 40.6461i | −0.298490 | − | 0.0156432i | ||||
\(190\) | 388.099 | + | 61.4688i | 0.148188 | + | 0.0234706i | ||||
\(191\) | −1662.72 | + | 740.291i | −0.629897 | + | 0.280448i | −0.696749 | − | 0.717315i | \(-0.745371\pi\) |
0.0668525 | + | 0.997763i | \(0.478704\pi\) | |||||||
\(192\) | −10.0985 | − | 9.09269i | −0.00379580 | − | 0.00341775i | ||||
\(193\) | 166.441 | + | 3175.88i | 0.0620761 | + | 1.18448i | 0.835097 | + | 0.550102i | \(0.185411\pi\) |
−0.773021 | + | 0.634380i | \(0.781255\pi\) | |||||||
\(194\) | −327.341 | − | 237.827i | −0.121143 | − | 0.0880153i | ||||
\(195\) | −147.879 | + | 801.711i | −0.0543070 | + | 0.294419i | ||||
\(196\) | −433.550 | + | 1334.33i | −0.157999 | + | 0.486272i | ||||
\(197\) | 227.667 | − | 849.664i | 0.0823381 | − | 0.307290i | −0.912459 | − | 0.409169i | \(-0.865819\pi\) |
0.994797 | + | 0.101879i | \(0.0324854\pi\) | |||||||
\(198\) | −280.052 | − | 152.157i | −0.100517 | − | 0.0546128i | ||||
\(199\) | −2516.46 | − | 1452.88i | −0.896419 | − | 0.517548i | −0.0203826 | − | 0.999792i | \(-0.506488\pi\) |
−0.876037 | + | 0.482244i | \(0.839822\pi\) | |||||||
\(200\) | 1254.90 | − | 639.403i | 0.443674 | − | 0.226063i | ||||
\(201\) | −3974.08 | − | 3218.15i | −1.39458 | − | 1.12931i | ||||
\(202\) | −3506.27 | − | 1345.93i | −1.22129 | − | 0.468808i | ||||
\(203\) | −11.7269 | + | 23.0153i | −0.00405451 | + | 0.00795742i | ||||
\(204\) | −296.197 | + | 1393.50i | −0.101657 | + | 0.478257i | ||||
\(205\) | 174.524 | − | 1660.49i | 0.0594599 | − | 0.565723i | ||||
\(206\) | −504.615 | + | 193.704i | −0.170671 | + | 0.0655145i | ||||
\(207\) | −445.311 | − | 144.690i | −0.149523 | − | 0.0485830i | ||||
\(208\) | 3738.73 | + | 94.7031i | 1.24632 | + | 0.0315696i | ||||
\(209\) | 269.648 | + | 1124.55i | 0.0892436 | + | 0.372185i | ||||
\(210\) | 315.502 | + | 84.5384i | 0.103675 | + | 0.0277795i | ||||
\(211\) | −957.208 | − | 4503.31i | −0.312308 | − | 1.46929i | −0.801962 | − | 0.597375i | \(-0.796210\pi\) |
0.489654 | − | 0.871917i | \(-0.337123\pi\) | |||||||
\(212\) | −1507.88 | + | 158.484i | −0.488497 | + | 0.0513432i | ||||
\(213\) | 4050.10 | − | 641.473i | 1.30286 | − | 0.206352i | ||||
\(214\) | 2447.65 | − | 1589.52i | 0.781859 | − | 0.507745i | ||||
\(215\) | −1069.99 | + | 694.859i | −0.339408 | + | 0.220414i | ||||
\(216\) | −1802.26 | + | 285.449i | −0.567722 | + | 0.0899183i | ||||
\(217\) | 357.619 | − | 37.5873i | 0.111875 | − | 0.0117585i | ||||
\(218\) | −1333.79 | − | 6274.97i | −0.414383 | − | 1.94952i | ||||
\(219\) | −5323.66 | − | 1426.47i | −1.64265 | − | 0.440146i | ||||
\(220\) | 434.278 | + | 371.118i | 0.133086 | + | 0.113731i | ||||
\(221\) | −1445.40 | − | 2656.67i | −0.439945 | − | 0.808628i | ||||
\(222\) | 3172.27 | + | 1030.73i | 0.959049 | + | 0.311614i | ||||
\(223\) | 247.483 | − | 94.9998i | 0.0743169 | − | 0.0285276i | −0.320926 | − | 0.947104i | \(-0.603994\pi\) |
0.395242 | + | 0.918577i | \(0.370661\pi\) | |||||||
\(224\) | 101.010 | − | 961.048i | 0.0301296 | − | 0.286664i | ||||
\(225\) | −57.9770 | + | 272.760i | −0.0171784 | + | 0.0808179i | ||||
\(226\) | 461.054 | − | 904.869i | 0.135703 | − | 0.266332i | ||||
\(227\) | 2815.99 | + | 1080.96i | 0.823364 | + | 0.316060i | 0.733325 | − | 0.679878i | \(-0.237967\pi\) |
0.0900392 | + | 0.995938i | \(0.471301\pi\) | |||||||
\(228\) | −543.885 | − | 440.430i | −0.157981 | − | 0.127931i | ||||
\(229\) | 5549.58 | − | 2827.65i | 1.60143 | − | 0.815967i | 0.601572 | − | 0.798819i | \(-0.294541\pi\) |
0.999853 | − | 0.0171483i | \(-0.00545874\pi\) | |||||||
\(230\) | 2030.93 | + | 1172.56i | 0.582242 | + | 0.336158i | ||||
\(231\) | 125.207 | + | 953.098i | 0.0356623 | + | 0.271468i | ||||
\(232\) | −15.7076 | + | 58.6215i | −0.00444506 | + | 0.0165892i | ||||
\(233\) | −797.364 | + | 2454.03i | −0.224193 | + | 0.689996i | 0.774179 | + | 0.632966i | \(0.218163\pi\) |
−0.998372 | + | 0.0570295i | \(0.981837\pi\) | |||||||
\(234\) | −265.669 | + | 311.598i | −0.0742194 | + | 0.0870503i | ||||
\(235\) | 316.636 | + | 230.049i | 0.0878938 | + | 0.0638586i | ||||
\(236\) | −48.2939 | − | 921.502i | −0.0133206 | − | 0.254172i | ||||
\(237\) | −298.763 | − | 269.007i | −0.0818849 | − | 0.0737295i | ||||
\(238\) | −1106.99 | + | 492.866i | −0.301495 | + | 0.134234i | ||||
\(239\) | 135.900 | + | 21.5244i | 0.0367808 | + | 0.00582551i | 0.174798 | − | 0.984604i | \(-0.444073\pi\) |
−0.138017 | + | 0.990430i | \(0.544073\pi\) | |||||||
\(240\) | 1385.86 | + | 72.6300i | 0.372738 | + | 0.0195344i | ||||
\(241\) | 860.707 | + | 3212.20i | 0.230054 | + | 0.858573i | 0.980316 | + | 0.197433i | \(0.0632605\pi\) |
−0.750262 | + | 0.661140i | \(0.770073\pi\) | |||||||
\(242\) | −1454.24 | + | 4467.20i | −0.386290 | + | 1.18662i | ||||
\(243\) | 346.113 | − | 599.485i | 0.0913709 | − | 0.158259i | ||||
\(244\) | −3560.90 | + | 756.893i | −0.934276 | + | 0.198586i | ||||
\(245\) | −396.076 | − | 1031.81i | −0.103283 | − | 0.269061i | ||||
\(246\) | −4884.38 | + | 6722.77i | −1.26592 | + | 1.74239i | ||||
\(247\) | 1485.20 | − | 40.1621i | 0.382595 | − | 0.0103460i | ||||
\(248\) | 803.509 | − | 261.076i | 0.205737 | − | 0.0668481i | ||||
\(249\) | −3470.53 | + | 2810.38i | −0.883277 | + | 0.715264i | ||||
\(250\) | 1198.32 | − | 2691.47i | 0.303154 | − | 0.680895i | ||||
\(251\) | 1923.82 | − | 1732.22i | 0.483788 | − | 0.435604i | −0.390797 | − | 0.920477i | \(-0.627801\pi\) |
0.874585 | + | 0.484872i | \(0.161134\pi\) | |||||||
\(252\) | 41.5149 | + | 41.5149i | 0.0103778 | + | 0.0103778i | ||||
\(253\) | −902.773 | + | 6842.46i | −0.224335 | + | 1.70032i | ||||
\(254\) | −5311.83 | + | 1423.30i | −1.31218 | + | 0.351598i | ||||
\(255\) | −509.495 | − | 999.941i | −0.125121 | − | 0.245564i | ||||
\(256\) | −534.796 | − | 5088.25i | −0.130565 | − | 1.24225i | ||||
\(257\) | −561.188 | − | 58.9832i | −0.136210 | − | 0.0143162i | 0.0361781 | − | 0.999345i | \(-0.488482\pi\) |
−0.172388 | + | 0.985029i | \(0.555148\pi\) | |||||||
\(258\) | 6341.07 | − | 332.321i | 1.53015 | − | 0.0801915i | ||||
\(259\) | 313.742 | + | 965.598i | 0.0752701 | + | 0.231658i | ||||
\(260\) | 581.880 | − | 447.283i | 0.138795 | − | 0.106690i | ||||
\(261\) | −7.06287 | − | 9.72121i | −0.00167502 | − | 0.00230547i | ||||
\(262\) | −2880.15 | + | 4435.04i | −0.679146 | + | 1.04579i | ||||
\(263\) | 6392.90 | − | 3690.94i | 1.49887 | − | 0.865374i | 0.498872 | − | 0.866675i | \(-0.333748\pi\) |
0.999999 | + | 0.00130145i | \(0.000414265\pi\) | |||||||
\(264\) | 753.326 | + | 2129.22i | 0.175621 | + | 0.496380i | ||||
\(265\) | 844.556 | − | 844.556i | 0.195776 | − | 0.195776i | ||||
\(266\) | 31.1543 | − | 594.460i | 0.00718118 | − | 0.137025i | ||||
\(267\) | −1135.38 | + | 1402.07i | −0.260239 | + | 0.321369i | ||||
\(268\) | 720.170 | + | 4546.98i | 0.164147 | + | 1.03638i | ||||
\(269\) | 2947.87 | + | 626.589i | 0.668159 | + | 0.142022i | 0.529489 | − | 0.848317i | \(-0.322384\pi\) |
0.138670 | + | 0.990339i | \(0.455717\pi\) | |||||||
\(270\) | −1210.78 | + | 1344.70i | −0.272909 | + | 0.303096i | ||||
\(271\) | 2216.79 | + | 2737.51i | 0.496901 | + | 0.613622i | 0.962470 | − | 0.271390i | \(-0.0874833\pi\) |
−0.465568 | + | 0.885012i | \(0.654150\pi\) | |||||||
\(272\) | −4165.16 | + | 3026.16i | −0.928491 | + | 0.674589i | ||||
\(273\) | 1231.31 | + | 95.8468i | 0.272975 | + | 0.0212488i | ||||
\(274\) | − | 6116.95i | − | 1.34868i | ||||||
\(275\) | 4108.92 | + | 108.745i | 0.901007 | + | 0.0238457i | ||||
\(276\) | −2088.42 | − | 3617.24i | −0.455463 | − | 0.788886i | ||||
\(277\) | 456.295 | + | 506.766i | 0.0989750 | + | 0.109923i | 0.790597 | − | 0.612337i | \(-0.209770\pi\) |
−0.691622 | + | 0.722260i | \(0.743104\pi\) | |||||||
\(278\) | 581.306 | − | 3670.22i | 0.125412 | − | 0.791817i | ||||
\(279\) | −59.9463 | + | 156.166i | −0.0128634 | + | 0.0335104i | ||||
\(280\) | 127.224 | + | 195.908i | 0.0271540 | + | 0.0418135i | ||||
\(281\) | −5234.03 | − | 2666.87i | −1.11116 | − | 0.566164i | −0.200655 | − | 0.979662i | \(-0.564307\pi\) |
−0.910505 | + | 0.413498i | \(0.864307\pi\) | |||||||
\(282\) | −792.293 | − | 1779.52i | −0.167306 | − | 0.375776i | ||||
\(283\) | −1825.15 | − | 812.611i | −0.383372 | − | 0.170688i | 0.205996 | − | 0.978553i | \(-0.433956\pi\) |
−0.589368 | + | 0.807865i | \(0.700623\pi\) | |||||||
\(284\) | −3096.04 | − | 2010.59i | −0.646887 | − | 0.420094i | ||||
\(285\) | 551.311 | 0.114585 | ||||||||
\(286\) | 5228.88 | + | 3014.89i | 1.08108 | + | 0.623335i | ||||
\(287\) | −2529.39 | −0.520228 | ||||||||
\(288\) | 377.007 | + | 244.831i | 0.0771366 | + | 0.0500931i | ||||
\(289\) | −684.768 | − | 304.878i | −0.139379 | − | 0.0620554i | ||||
\(290\) | 24.4784 | + | 54.9794i | 0.00495663 | + | 0.0111328i | ||||
\(291\) | −505.821 | − | 257.729i | −0.101896 | − | 0.0519186i | ||||
\(292\) | 2702.36 | + | 4161.28i | 0.541589 | + | 0.833974i | ||||
\(293\) | 1564.97 | − | 4076.90i | 0.312037 | − | 0.812883i | −0.684444 | − | 0.729065i | \(-0.739955\pi\) |
0.996481 | − | 0.0838183i | \(-0.0267115\pi\) | |||||||
\(294\) | −860.500 | + | 5432.99i | −0.170699 | + | 1.07775i | ||||
\(295\) | 486.401 | + | 540.203i | 0.0959978 | + | 0.106616i | ||||
\(296\) | 1192.72 | + | 2065.85i | 0.234207 | + | 0.405659i | ||||
\(297\) | −5019.39 | − | 1779.04i | −0.980656 | − | 0.347577i | ||||
\(298\) | − | 68.9843i | − | 0.0134099i | ||||||
\(299\) | 8361.10 | + | 2952.78i | 1.61717 | + | 0.571116i | ||||
\(300\) | −2012.45 | + | 1462.13i | −0.387295 | + | 0.281387i | ||||
\(301\) | 1216.34 | + | 1502.06i | 0.232920 | + | 0.287632i | ||||
\(302\) | 3857.82 | − | 4284.54i | 0.735075 | − | 0.816383i | ||||
\(303\) | −5154.32 | − | 1095.58i | −0.977254 | − | 0.207722i | ||||
\(304\) | −395.648 | − | 2498.02i | −0.0746446 | − | 0.471288i | ||||
\(305\) | 1804.76 | − | 2228.69i | 0.338820 | − | 0.418408i | ||||
\(306\) | 29.5014 | − | 562.920i | 0.00551138 | − | 0.105163i | ||||
\(307\) | 2575.61 | − | 2575.61i | 0.478820 | − | 0.478820i | −0.425934 | − | 0.904754i | \(-0.640054\pi\) |
0.904754 | + | 0.425934i | \(0.140054\pi\) | |||||||
\(308\) | 490.372 | − | 713.069i | 0.0907194 | − | 0.131918i | ||||
\(309\) | −656.770 | + | 379.186i | −0.120914 | + | 0.0698096i | ||||
\(310\) | 456.299 | − | 702.639i | 0.0836002 | − | 0.128733i | ||||
\(311\) | 499.845 | + | 687.978i | 0.0911370 | + | 0.125439i | 0.852151 | − | 0.523297i | \(-0.175298\pi\) |
−0.761014 | + | 0.648736i | \(0.775298\pi\) | |||||||
\(312\) | 2876.58 | − | 381.211i | 0.521968 | − | 0.0691726i | ||||
\(313\) | 60.0057 | + | 184.679i | 0.0108362 | + | 0.0333503i | 0.956328 | − | 0.292294i | \(-0.0944187\pi\) |
−0.945492 | + | 0.325645i | \(0.894419\pi\) | |||||||
\(314\) | 7406.98 | − | 388.184i | 1.33121 | − | 0.0697658i | ||||
\(315\) | −45.9965 | − | 4.83443i | −0.00822734 | − | 0.000864728i | ||||
\(316\) | 37.8317 | + | 359.945i | 0.00673481 | + | 0.0640774i | ||||
\(317\) | 2097.34 | + | 4116.26i | 0.371603 | + | 0.729312i | 0.998771 | − | 0.0495721i | \(-0.0157858\pi\) |
−0.627167 | + | 0.778885i | \(0.715786\pi\) | |||||||
\(318\) | −5741.92 | + | 1538.54i | −1.01255 | + | 0.271312i | ||||
\(319\) | −121.956 | + | 128.443i | −0.0214052 | + | 0.0225437i | ||||
\(320\) | −6.81439 | − | 6.81439i | −0.00119042 | − | 0.00119042i | ||||
\(321\) | 3043.02 | − | 2739.95i | 0.529112 | − | 0.476415i | ||||
\(322\) | 1445.02 | − | 3245.57i | 0.250086 | − | 0.561703i | ||||
\(323\) | −1589.49 | + | 1287.14i | −0.273812 | + | 0.221729i | ||||
\(324\) | 2781.72 | − | 903.837i | 0.476976 | − | 0.154979i | ||||
\(325\) | 1228.40 | − | 5136.01i | 0.209660 | − | 0.876598i | ||||
\(326\) | −4616.18 | + | 6353.62i | −0.784252 | + | 1.07943i | ||||
\(327\) | −3225.60 | − | 8402.97i | −0.545493 | − | 1.42106i | ||||
\(328\) | −5812.98 | + | 1235.59i | −0.978561 | + | 0.208000i | ||||
\(329\) | 296.462 | − | 513.486i | 0.0496792 | − | 0.0860469i | ||||
\(330\) | 1909.32 | + | 1170.77i | 0.318499 | + | 0.195299i | ||||
\(331\) | −781.017 | − | 2914.80i | −0.129694 | − | 0.484023i | 0.870270 | − | 0.492575i | \(-0.163944\pi\) |
−0.999963 | + | 0.00855215i | \(0.997278\pi\) | |||||||
\(332\) | 4014.82 | + | 210.408i | 0.663681 | + | 0.0347820i | ||||
\(333\) | −466.484 | − | 73.8838i | −0.0767663 | − | 0.0121586i | ||||
\(334\) | 6279.58 | − | 2795.85i | 1.02875 | − | 0.458030i | ||||
\(335\) | −2695.06 | − | 2426.64i | −0.439542 | − | 0.395766i | ||||
\(336\) | −110.030 | − | 2099.50i | −0.0178650 | − | 0.340885i | ||||
\(337\) | −6306.98 | − | 4582.29i | −1.01948 | − | 0.740692i | −0.0532998 | − | 0.998579i | \(-0.516974\pi\) |
−0.966175 | + | 0.257887i | \(0.916974\pi\) | |||||||
\(338\) | 5178.98 | − | 5771.66i | 0.833431 | − | 0.928808i | ||||
\(339\) | 440.313 | − | 1355.14i | 0.0705443 | − | 0.217113i | ||||
\(340\) | −261.492 | + | 975.901i | −0.0417100 | + | 0.155664i | ||||
\(341\) | 2424.26 | + | 450.011i | 0.384989 | + | 0.0714647i | ||||
\(342\) | 239.815 | + | 138.457i | 0.0379172 | + | 0.0218915i | ||||
\(343\) | −3117.91 | + | 1588.65i | −0.490819 | + | 0.250085i | ||||
\(344\) | 3529.10 | + | 2857.81i | 0.553129 | + | 0.447915i | ||||
\(345\) | 3071.78 | + | 1179.15i | 0.479360 | + | 0.184009i | ||||
\(346\) | −91.1582 | + | 178.908i | −0.0141639 | + | 0.0277981i | ||||
\(347\) | 1359.52 | − | 6396.04i | 0.210325 | − | 0.989502i | −0.738635 | − | 0.674106i | \(-0.764529\pi\) |
0.948960 | − | 0.315396i | \(-0.102137\pi\) | |||||||
\(348\) | 11.2044 | − | 106.602i | 0.00172591 | − | 0.0164209i | ||||
\(349\) | −657.216 | + | 252.282i | −0.100802 | + | 0.0386943i | −0.408246 | − | 0.912872i | \(-0.633860\pi\) |
0.307444 | + | 0.951566i | \(0.400526\pi\) | |||||||
\(350\) | −2012.27 | − | 653.826i | −0.307315 | − | 0.0998528i | ||||
\(351\) | −3569.87 | + | 5836.69i | −0.542865 | + | 0.887577i | ||||
\(352\) | 2537.42 | − | 6121.04i | 0.384219 | − | 0.926853i | ||||
\(353\) | 2934.20 | + | 786.215i | 0.442412 | + | 0.118544i | 0.473147 | − | 0.880984i | \(-0.343118\pi\) |
−0.0307346 | + | 0.999528i | \(0.509785\pi\) | |||||||
\(354\) | −752.198 | − | 3538.81i | −0.112935 | − | 0.531316i | ||||
\(355\) | 2892.15 | − | 303.977i | 0.432392 | − | 0.0454463i | ||||
\(356\) | 1604.19 | − | 254.079i | 0.238826 | − | 0.0378263i | ||||
\(357\) | −1425.87 | + | 925.973i | −0.211387 | + | 0.137276i | ||||
\(358\) | 5286.22 | − | 3432.91i | 0.780406 | − | 0.506802i | ||||
\(359\) | 1876.44 | − | 297.198i | 0.275862 | − | 0.0436923i | −0.0169704 | − | 0.999856i | \(-0.505402\pi\) |
0.292833 | + | 0.956164i | \(0.405402\pi\) | |||||||
\(360\) | −108.069 | + | 11.3586i | −0.0158216 | + | 0.00166291i | ||||
\(361\) | 1217.17 | + | 5726.32i | 0.177456 | + | 0.834863i | ||||
\(362\) | 10532.8 | + | 2822.24i | 1.52925 | + | 0.409762i | ||||
\(363\) | −1034.77 | + | 6509.74i | −0.149618 | + | 0.941247i | ||||
\(364\) | −766.039 | − | 805.855i | −0.110306 | − | 0.116039i | ||||
\(365\) | −3717.35 | − | 1207.84i | −0.533082 | − | 0.173209i | ||||
\(366\) | −13325.0 | + | 5115.01i | −1.90304 | + | 0.730507i | ||||
\(367\) | −909.061 | + | 8649.14i | −0.129299 | + | 1.23019i | 0.716842 | + | 0.697235i | \(0.245587\pi\) |
−0.846141 | + | 0.532959i | \(0.821080\pi\) | |||||||
\(368\) | 3138.32 | − | 14764.7i | 0.444556 | − | 2.09147i | ||||
\(369\) | 534.183 | − | 1048.39i | 0.0753617 | − | 0.147906i | ||||
\(370\) | 2208.39 | + | 847.722i | 0.310294 | + | 0.119111i | ||||
\(371\) | −1406.18 | − | 1138.70i | −0.196780 | − | 0.159349i | ||||
\(372\) | −1329.55 | + | 677.439i | −0.185306 | + | 0.0944182i | ||||
\(373\) | −617.981 | − | 356.792i | −0.0857851 | − | 0.0495281i | 0.456494 | − | 0.889727i | \(-0.349105\pi\) |
−0.542279 | + | 0.840199i | \(0.682438\pi\) | |||||||
\(374\) | −8238.14 | + | 1082.23i | −1.13899 | + | 0.149628i | ||||
\(375\) | 1069.87 | − | 3992.80i | 0.147327 | − | 0.549833i | ||||
\(376\) | 430.485 | − | 1324.90i | 0.0590441 | − | 0.181719i | ||||
\(377\) | 129.050 | + | 187.426i | 0.0176298 | + | 0.0256045i | ||||
\(378\) | 2217.72 | + | 1611.27i | 0.301765 | + | 0.219245i | ||||
\(379\) | −583.757 | − | 11138.7i | −0.0791176 | − | 1.50965i | −0.693392 | − | 0.720561i | \(-0.743884\pi\) |
0.614274 | − | 0.789093i | \(-0.289449\pi\) | |||||||
\(380\) | −368.840 | − | 332.105i | −0.0497924 | − | 0.0448333i | ||||
\(381\) | −7048.63 | + | 3138.25i | −0.947801 | + | 0.421988i | ||||
\(382\) | 6345.11 | + | 1004.97i | 0.849854 | + | 0.134604i | ||||
\(383\) | 8244.88 | + | 432.096i | 1.09998 | + | 0.0576477i | 0.593675 | − | 0.804705i | \(-0.297677\pi\) |
0.506308 | + | 0.862353i | \(0.331010\pi\) | |||||||
\(384\) | −1849.94 | − | 6904.05i | −0.245844 | − | 0.917503i | ||||
\(385\) | 53.2980 | + | 679.644i | 0.00705537 | + | 0.0899685i | ||||
\(386\) | 5612.55 | − | 9721.22i | 0.740081 | − | 1.28186i | ||||
\(387\) | −879.458 | + | 186.935i | −0.115518 | + | 0.0245541i | ||||
\(388\) | 183.153 | + | 477.130i | 0.0239644 | + | 0.0624293i | ||||
\(389\) | −465.981 | + | 641.368i | −0.0607357 | + | 0.0835955i | −0.838304 | − | 0.545203i | \(-0.816453\pi\) |
0.777569 | + | 0.628798i | \(0.216453\pi\) | |||||||
\(390\) | 1978.94 | − | 2088.95i | 0.256943 | − | 0.271225i | ||||
\(391\) | −11609.2 | + | 3772.06i | −1.50154 | + | 0.487881i | ||||
\(392\) | −3057.21 | + | 2475.68i | −0.393909 | + | 0.318981i | ||||
\(393\) | −3017.82 | + | 6778.14i | −0.387351 | + | 0.870005i | ||||
\(394\) | −2307.32 | + | 2077.52i | −0.295028 | + | 0.265644i | ||||
\(395\) | −201.603 | − | 201.603i | −0.0256804 | − | 0.0256804i | ||||
\(396\) | 191.994 | + | 353.845i | 0.0243638 | + | 0.0449024i | ||||
\(397\) | −9858.34 | + | 2641.54i | −1.24629 | + | 0.333942i | −0.820901 | − | 0.571070i | \(-0.806528\pi\) |
−0.425386 | + | 0.905012i | \(0.639862\pi\) | |||||||
\(398\) | 4656.26 | + | 9138.42i | 0.586425 | + | 1.15092i | ||||
\(399\) | −87.3025 | − | 830.628i | −0.0109539 | − | 0.104219i | ||||
\(400\) | −8940.31 | − | 939.665i | −1.11754 | − | 0.117458i | ||||
\(401\) | −13679.3 | + | 716.900i | −1.70352 | + | 0.0892774i | −0.879079 | − | 0.476677i | \(-0.841841\pi\) |
−0.824437 | + | 0.565954i | \(0.808508\pi\) | |||||||
\(402\) | 5577.59 | + | 17166.1i | 0.692002 | + | 2.12976i | ||||
\(403\) | 1209.77 | − | 2927.73i | 0.149536 | − | 0.361887i | ||||
\(404\) | 2788.40 | + | 3837.90i | 0.343386 | + | 0.472630i | ||||
\(405\) | −1254.90 | + | 1932.37i | −0.153966 | + | 0.237087i | ||||
\(406\) | 78.9580 | − | 45.5864i | 0.00965178 | − | 0.00557246i | ||||
\(407\) | 180.292 | + | 6959.43i | 0.0219576 | + | 0.847582i | ||||
\(408\) | −2824.57 | + | 2824.57i | −0.342738 | + | 0.342738i | ||||
\(409\) | −487.865 | + | 9309.03i | −0.0589814 | + | 1.12543i | 0.795501 | + | 0.605952i | \(0.207208\pi\) |
−0.854483 | + | 0.519480i | \(0.826126\pi\) | |||||||
\(410\) | −3708.71 | + | 4579.87i | −0.446732 | + | 0.551668i | ||||
\(411\) | −1342.58 | − | 8476.73i | −0.161131 | − | 1.01734i | ||||
\(412\) | 667.814 | + | 141.948i | 0.0798564 | + | 0.0169740i | ||||
\(413\) | 736.869 | − | 818.376i | 0.0877940 | − | 0.0975052i | ||||
\(414\) | 1040.06 | + | 1284.37i | 0.123469 | + | 0.152472i | ||||
\(415\) | −2562.19 | + | 1861.54i | −0.303067 | + | 0.220191i | ||||
\(416\) | −7019.96 | − | 4815.85i | −0.827360 | − | 0.567588i | ||||
\(417\) | − | 5213.70i | − | 0.612269i | ||||||
\(418\) | 1363.59 | − | 3847.25i | 0.159559 | − | 0.450180i | ||||
\(419\) | 7479.97 | + | 12955.7i | 0.872125 | + | 1.51057i | 0.859794 | + | 0.510641i | \(0.170592\pi\) |
0.0123314 | + | 0.999924i | \(0.496075\pi\) | |||||||
\(420\) | −276.065 | − | 306.601i | −0.0320728 | − | 0.0356205i | ||||
\(421\) | −42.6029 | + | 268.984i | −0.00493192 | + | 0.0311389i | −0.990032 | − | 0.140846i | \(-0.955018\pi\) |
0.985100 | + | 0.171984i | \(0.0550179\pi\) | |||||||
\(422\) | −5823.53 | + | 15170.8i | −0.671766 | + | 1.75001i | ||||
\(423\) | 150.222 | + | 231.322i | 0.0172673 | + | 0.0265892i | ||||
\(424\) | −3787.89 | − | 1930.03i | −0.433859 | − | 0.221062i | ||||
\(425\) | 2956.85 | + | 6641.19i | 0.337478 | + | 0.757988i | ||||
\(426\) | −13222.3 | − | 5886.94i | −1.50381 | − | 0.669538i | ||||
\(427\) | −3643.63 | − | 2366.20i | −0.412945 | − | 0.268170i | ||||
\(428\) | −3686.38 | −0.416327 | ||||||||
\(429\) | 7907.80 | + | 3030.30i | 0.889958 | + | 0.341035i | ||||
\(430\) | 4503.17 | 0.505028 | ||||||||
\(431\) | −11303.5 | − | 7340.57i | −1.26327 | − | 0.820378i | −0.273338 | − | 0.961918i | \(-0.588128\pi\) |
−0.989932 | + | 0.141540i | \(0.954794\pi\) | |||||||
\(432\) | 10639.9 | + | 4737.18i | 1.18498 | + | 0.527587i | ||||
\(433\) | 3166.94 | + | 7113.07i | 0.351486 | + | 0.789451i | 0.999610 | + | 0.0279164i | \(0.00888723\pi\) |
−0.648124 | + | 0.761535i | \(0.724446\pi\) | |||||||
\(434\) | −1130.88 | − | 576.213i | −0.125079 | − | 0.0637307i | ||||
\(435\) | 45.9889 | + | 70.8166i | 0.00506896 | + | 0.00780551i | ||||
\(436\) | −2903.88 | + | 7564.87i | −0.318970 | + | 0.830944i | ||||
\(437\) | 938.062 | − | 5922.69i | 0.102686 | − | 0.648331i | ||||
\(438\) | 13016.9 | + | 14456.7i | 1.42003 | + | 1.57710i | ||||
\(439\) | 5065.83 | + | 8774.28i | 0.550749 | + | 0.953926i | 0.998221 | + | 0.0596274i | \(0.0189913\pi\) |
−0.447471 | + | 0.894298i | \(0.647675\pi\) | |||||||
\(440\) | 454.488 | + | 1535.90i | 0.0492429 | + | 0.166412i | ||||
\(441\) | − | 778.882i | − | 0.0841034i | ||||||
\(442\) | −828.456 | + | 10642.9i | −0.0891530 | + | 1.14532i | ||||
\(443\) | −3066.23 | + | 2227.74i | −0.328850 | + | 0.238924i | −0.739943 | − | 0.672670i | \(-0.765147\pi\) |
0.411092 | + | 0.911594i | \(0.365147\pi\) | |||||||
\(444\) | −2651.42 | − | 3274.23i | −0.283403 | − | 0.349973i | ||||
\(445\) | −856.129 | + | 950.828i | −0.0912009 | + | 0.101289i | ||||
\(446\) | −915.225 | − | 194.537i | −0.0971685 | − | 0.0206538i | ||||
\(447\) | −15.1411 | − | 95.5970i | −0.00160212 | − | 0.0101154i | ||||
\(448\) | −9.18775 | + | 11.3459i | −0.000968930 | + | 0.00119653i | ||||
\(449\) | −134.554 | + | 2567.45i | −0.0141425 | + | 0.269856i | 0.982401 | + | 0.186784i | \(0.0598064\pi\) |
−0.996544 | + | 0.0830718i | \(0.973527\pi\) | |||||||
\(450\) | 695.972 | − | 695.972i | 0.0729077 | − | 0.0729077i | ||||
\(451\) | −16628.2 | − | 4930.57i | −1.73613 | − | 0.514792i | ||||
\(452\) | −1110.91 | + | 641.383i | −0.115603 | + | 0.0667436i | ||||
\(453\) | 4405.69 | − | 6784.17i | 0.456948 | − | 0.703638i | ||||
\(454\) | −6257.89 | − | 8613.24i | −0.646910 | − | 0.890395i | ||||
\(455\) | 868.473 | + | 113.581i | 0.0894827 | + | 0.0117028i | ||||
\(456\) | −606.390 | − | 1866.28i | −0.0622738 | − | 0.191659i | ||||
\(457\) | −11894.3 | + | 623.356i | −1.21749 | + | 0.0638061i | −0.650234 | − | 0.759734i | \(-0.725329\pi\) |
−0.567258 | + | 0.823540i | \(0.691996\pi\) | |||||||
\(458\) | −21863.7 | − | 2297.97i | −2.23062 | − | 0.234447i | ||||
\(459\) | −984.507 | − | 9366.96i | −0.100115 | − | 0.952532i | ||||
\(460\) | −1344.79 | − | 2639.30i | −0.136307 | − | 0.267517i | ||||
\(461\) | 41.5430 | − | 11.1314i | 0.00419707 | − | 0.00112460i | −0.256720 | − | 0.966486i | \(-0.582642\pi\) |
0.260917 | + | 0.965361i | \(0.415975\pi\) | |||||||
\(462\) | 1461.58 | − | 3062.06i | 0.147183 | − | 0.308354i | ||||
\(463\) | 3218.47 | + | 3218.47i | 0.323056 | + | 0.323056i | 0.849938 | − | 0.526882i | \(-0.176639\pi\) |
−0.526882 | + | 0.849938i | \(0.676639\pi\) | |||||||
\(464\) | 287.871 | − | 259.200i | 0.0288018 | − | 0.0259333i | ||||
\(465\) | 478.110 | − | 1073.85i | 0.0476814 | − | 0.107094i | ||||
\(466\) | 7077.94 | − | 5731.60i | 0.703603 | − | 0.569767i | ||||
\(467\) | 10690.5 | − | 3473.55i | 1.05931 | − | 0.344190i | 0.272993 | − | 0.962016i | \(-0.411986\pi\) |
0.786315 | + | 0.617826i | \(0.211986\pi\) | |||||||
\(468\) | 495.794 | − | 147.322i | 0.0489702 | − | 0.0145512i | ||||
\(469\) | −3229.30 | + | 4444.76i | −0.317943 | + | 0.437611i | ||||
\(470\) | −495.064 | − | 1289.69i | −0.0485864 | − | 0.126572i | ||||
\(471\) | 10179.2 | − | 2163.66i | 0.995827 | − | 0.211670i | ||||
\(472\) | 1293.68 | − | 2240.72i | 0.126158 | − | 0.218512i | ||||
\(473\) | 5068.27 | + | 12245.6i | 0.492683 | + | 1.19038i | ||||
\(474\) | 367.265 | + | 1370.65i | 0.0355886 | + | 0.132819i | ||||
\(475\) | −3566.34 | − | 186.904i | −0.344495 | − | 0.0180542i | ||||
\(476\) | 1511.74 | + | 239.437i | 0.145569 | + | 0.0230558i | ||||
\(477\) | 768.947 | − | 342.357i | 0.0738106 | − | 0.0328626i | ||||
\(478\) | −360.912 | − | 324.967i | −0.0345350 | − | 0.0310955i | ||||
\(479\) | −165.142 | − | 3151.09i | −0.0157526 | − | 0.300578i | −0.995132 | − | 0.0985492i | \(-0.968580\pi\) |
0.979380 | − | 0.202029i | \(-0.0647535\pi\) | |||||||
\(480\) | −2555.62 | − | 1856.77i | −0.243016 | − | 0.176561i | ||||
\(481\) | 8795.89 | + | 1622.44i | 0.833801 | + | 0.153798i | ||||
\(482\) | 3627.20 | − | 11163.4i | 0.342769 | − | 1.05493i | ||||
\(483\) | 1290.12 | − | 4814.80i | 0.121537 | − | 0.453584i | ||||
\(484\) | 4613.70 | − | 3731.83i | 0.433293 | − | 0.350473i | ||||
\(485\) | −348.664 | − | 201.301i | −0.0326433 | − | 0.0188466i | ||||
\(486\) | −2177.00 | + | 1109.24i | −0.203191 | + | 0.103531i | ||||
\(487\) | 5404.89 | + | 4376.79i | 0.502914 | + | 0.407252i | 0.846924 | − | 0.531714i | \(-0.178452\pi\) |
−0.344010 | + | 0.938966i | \(0.611785\pi\) | |||||||
\(488\) | −9529.55 | − | 3658.05i | −0.883981 | − | 0.339328i | ||||
\(489\) | −5002.47 | + | 9817.90i | −0.462616 | + | 0.907936i | ||||
\(490\) | −811.069 | + | 3815.78i | −0.0747762 | + | 0.351795i | ||||
\(491\) | −292.234 | + | 2780.42i | −0.0268601 | + | 0.255557i | 0.972849 | + | 0.231441i | \(0.0743439\pi\) |
−0.999709 | + | 0.0241164i | \(0.992323\pi\) | |||||||
\(492\) | 9799.07 | − | 3761.51i | 0.897919 | − | 0.344679i | ||||
\(493\) | −297.925 | − | 96.8019i | −0.0272168 | − | 0.00884328i | ||||
\(494\) | −4473.70 | − | 2736.23i | −0.407452 | − | 0.249208i | ||||
\(495\) | −292.958 | − | 121.443i | −0.0266009 | − | 0.0110272i | ||||
\(496\) | −5208.81 | − | 1395.70i | −0.471537 | − | 0.126348i | ||||
\(497\) | −915.970 | − | 4309.30i | −0.0826697 | − | 0.388930i | ||||
\(498\) | 15676.1 | − | 1647.62i | 1.41057 | − | 0.148257i | ||||
\(499\) | 19508.7 | − | 3089.88i | 1.75016 | − | 0.277198i | 0.802540 | − | 0.596598i | \(-0.203481\pi\) |
0.947620 | + | 0.319400i | \(0.103481\pi\) | |||||||
\(500\) | −3121.00 | + | 2026.80i | −0.279151 | + | 0.181283i | ||||
\(501\) | 8088.46 | − | 5252.71i | 0.721289 | − | 0.468411i | ||||
\(502\) | −9024.89 | + | 1429.40i | −0.802391 | + | 0.127086i | ||||
\(503\) | 5954.44 | − | 625.837i | 0.527824 | − | 0.0554765i | 0.163131 | − | 0.986604i | \(-0.447841\pi\) |
0.364693 | + | 0.931128i | \(0.381174\pi\) | |||||||
\(504\) | 34.2266 | + | 161.023i | 0.00302494 | + | 0.0142312i | ||||
\(505\) | −3609.70 | − | 967.216i | −0.318078 | − | 0.0852288i | ||||
\(506\) | 15826.2 | − | 18519.6i | 1.39043 | − | 1.62707i | ||||
\(507\) | 5910.13 | − | 9134.96i | 0.517708 | − | 0.800193i | ||||
\(508\) | 6606.17 | + | 2146.47i | 0.576971 | + | 0.187469i | ||||
\(509\) | 20870.9 | − | 8011.61i | 1.81746 | − | 0.697659i | 0.826599 | − | 0.562792i | \(-0.190273\pi\) |
0.990864 | − | 0.134867i | \(-0.0430607\pi\) | |||||||
\(510\) | −414.055 | + | 3939.47i | −0.0359503 | + | 0.342045i | ||||
\(511\) | −1231.12 | + | 5791.98i | −0.106579 | + | 0.501413i | ||||
\(512\) | −2956.47 | + | 5802.40i | −0.255193 | + | 0.500845i | ||||
\(513\) | 4319.55 | + | 1658.12i | 0.371760 | + | 0.142705i | ||||
\(514\) | 1547.84 | + | 1253.42i | 0.132826 | + | 0.107560i | ||||
\(515\) | −479.208 | + | 244.169i | −0.0410028 | + | 0.0208919i | ||||
\(516\) | −6945.94 | − | 4010.24i | −0.592593 | − | 0.342134i | ||||
\(517\) | 2949.88 | − | 2797.77i | 0.250939 | − | 0.237999i | ||||
\(518\) | 927.505 | − | 3461.49i | 0.0786722 | − | 0.293609i | ||||
\(519\) | −87.0574 | + | 267.935i | −0.00736299 | + | 0.0226610i | ||||
\(520\) | 2051.38 | − | 163.212i | 0.172998 | − | 0.0137641i | ||||
\(521\) | −3366.64 | − | 2446.00i | −0.283100 | − | 0.205684i | 0.437169 | − | 0.899380i | \(-0.355981\pi\) |
−0.720268 | + | 0.693696i | \(0.755981\pi\) | |||||||
\(522\) | 2.21969 | + | 42.3542i | 0.000186117 | + | 0.00355133i | ||||
\(523\) | −6841.06 | − | 6159.72i | −0.571967 | − | 0.515001i | 0.331616 | − | 0.943414i | \(-0.392406\pi\) |
−0.903583 | + | 0.428413i | \(0.859073\pi\) | |||||||
\(524\) | 6102.10 | − | 2716.83i | 0.508724 | − | 0.226499i | ||||
\(525\) | −2932.07 | − | 464.394i | −0.243745 | − | 0.0386054i | ||||
\(526\) | −26019.7 | − | 1363.63i | −2.15687 | − | 0.113037i | ||||
\(527\) | 1128.67 | + | 4212.27i | 0.0932938 | + | 0.348177i | ||||
\(528\) | 3369.24 | − | 14016.6i | 0.277703 | − | 1.15529i | ||||
\(529\) | 11810.7 | − | 20456.7i | 0.970713 | − | 1.68132i | ||||
\(530\) | −4123.61 | + | 876.501i | −0.337959 | + | 0.0718354i | ||||
\(531\) | 183.584 | + | 478.253i | 0.0150035 | + | 0.0390855i | ||||
\(532\) | −441.956 | + | 608.301i | −0.0360174 | + | 0.0495737i | ||||
\(533\) | −10615.7 | + | 19591.7i | −0.862698 | + | 1.59214i | ||||
\(534\) | 6056.26 | − | 1967.80i | 0.490786 | − | 0.159466i | ||||
\(535\) | 2256.81 | − | 1827.53i | 0.182374 | − | 0.147684i | ||||
\(536\) | −5250.27 | + | 11792.3i | −0.423091 | + | 0.950279i | ||||
\(537\) | 6572.06 | − | 5917.51i | 0.528129 | − | 0.475529i | ||||
\(538\) | −7521.75 | − | 7521.75i | −0.602761 | − | 0.602761i | ||||
\(539\) | −11289.2 | + | 2089.06i | −0.902151 | + | 0.166943i | ||||
\(540\) | 2207.70 | − | 591.550i | 0.175933 | − | 0.0471412i | ||||
\(541\) | −8474.59 | − | 16632.3i | −0.673477 | − | 1.32177i | −0.934335 | − | 0.356396i | \(-0.884006\pi\) |
0.260858 | − | 0.965377i | \(-0.415994\pi\) | |||||||
\(542\) | −1299.62 | − | 12365.1i | −0.102995 | − | 0.979936i | ||||
\(543\) | 15215.5 | + | 1599.21i | 1.20250 | + | 0.126388i | ||||
\(544\) | 11703.1 | − | 613.334i | 0.922365 | − | 0.0483391i | ||||
\(545\) | −1972.53 | − | 6070.83i | −0.155035 | − | 0.477148i | ||||
\(546\) | −3460.67 | − | 2650.77i | −0.271251 | − | 0.207770i | ||||
\(547\) | 12231.3 | + | 16835.0i | 0.956077 | + | 1.31593i | 0.948775 | + | 0.315953i | \(0.102324\pi\) |
0.00730212 | + | 0.999973i | \(0.497676\pi\) | |||||||
\(548\) | −4208.10 | + | 6479.90i | −0.328031 | + | 0.505124i | ||||
\(549\) | 1750.25 | − | 1010.51i | 0.136064 | − | 0.0785563i | ||||
\(550\) | −11954.2 | − | 8220.80i | −0.926777 | − | 0.637338i | ||||
\(551\) | 108.815 | − | 108.815i | 0.00841321 | − | 0.00841321i | ||||
\(552\) | 612.932 | − | 11695.4i | 0.0472611 | − | 0.901796i | ||||
\(553\) | −271.819 | + | 335.669i | −0.0209022 | + | 0.0258121i | ||||
\(554\) | −376.528 | − | 2377.30i | −0.0288757 | − | 0.182314i | ||||
\(555\) | 3246.40 | + | 690.044i | 0.248292 | + | 0.0527761i | ||||
\(556\) | −3140.69 | + | 3488.09i | −0.239560 | + | 0.266058i | ||||
\(557\) | 9191.00 | + | 11349.9i | 0.699166 | + | 0.863398i | 0.995796 | − | 0.0915946i | \(-0.0291964\pi\) |
−0.296631 | + | 0.954992i | \(0.595863\pi\) | |||||||
\(558\) | 477.663 | − | 347.042i | 0.0362385 | − | 0.0263288i | ||||
\(559\) | 16739.3 | − | 3117.24i | 1.26654 | − | 0.235859i | ||||
\(560\) | − | 1490.98i | − | 0.112510i | ||||||
\(561\) | −11178.7 | + | 3307.88i | −0.841293 | + | 0.248946i | ||||
\(562\) | 10367.0 | + | 17956.3i | 0.778127 | + | 1.34776i | ||||
\(563\) | 9860.54 | + | 10951.2i | 0.738139 | + | 0.819786i | 0.988950 | − | 0.148250i | \(-0.0473639\pi\) |
−0.250811 | + | 0.968036i | \(0.580697\pi\) | |||||||
\(564\) | −384.899 | + | 2430.16i | −0.0287362 | + | 0.181433i | ||||
\(565\) | 362.133 | − | 943.389i | 0.0269647 | − | 0.0702454i | ||||
\(566\) | 3840.68 | + | 5914.13i | 0.285222 | + | 0.439204i | ||||
\(567\) | 3110.11 | + | 1584.68i | 0.230357 | + | 0.117373i | ||||
\(568\) | −4210.11 | − | 9456.06i | −0.311007 | − | 0.698534i | ||||
\(569\) | 15372.9 | + | 6844.48i | 1.13263 | + | 0.504280i | 0.885471 | − | 0.464694i | \(-0.153836\pi\) |
0.247161 | + | 0.968975i | \(0.420502\pi\) | |||||||
\(570\) | −1631.99 | − | 1059.83i | −0.119924 | − | 0.0778795i | ||||
\(571\) | 2522.38 | 0.184866 | 0.0924329 | − | 0.995719i | \(-0.470536\pi\) | ||||
0.0924329 | + | 0.995719i | \(0.470536\pi\) | |||||||
\(572\) | −3465.08 | − | 6790.94i | −0.253291 | − | 0.496405i | ||||
\(573\) | 9013.49 | 0.657145 | ||||||||
\(574\) | 7487.52 | + | 4862.45i | 0.544465 | + | 0.353580i | ||||
\(575\) | −19471.1 | − | 8669.10i | −1.41218 | − | 0.628742i | ||||
\(576\) | −2.76234 | − | 6.20432i | −0.000199822 | − | 0.000448808i | ||||
\(577\) | −12609.8 | − | 6425.02i | −0.909798 | − | 0.463565i | −0.0645348 | − | 0.997915i | \(-0.520556\pi\) |
−0.845263 | + | 0.534350i | \(0.820556\pi\) | |||||||
\(578\) | 1440.96 | + | 2218.88i | 0.103696 | + | 0.159677i | ||||
\(579\) | 5644.08 | − | 14703.3i | 0.405112 | − | 1.05535i | ||||
\(580\) | 11.8917 | − | 75.0814i | 0.000851340 | − | 0.00537515i | ||||
\(581\) | 3210.41 | + | 3565.52i | 0.229243 | + | 0.254600i | ||||
\(582\) | 1001.88 | + | 1735.31i | 0.0713562 | + | 0.123593i | ||||
\(583\) | −7024.57 | − | 10226.9i | −0.499019 | − | 0.726512i | ||||
\(584\) | 13912.3i | 0.985782i | ||||||||
\(585\) | −230.491 | + | 335.981i | −0.0162899 | + | 0.0237455i | ||||
\(586\) | −12470.0 | + | 9059.97i | −0.879061 | + | 0.638675i | ||||
\(587\) | 3466.97 | + | 4281.35i | 0.243777 | + | 0.301039i | 0.884319 | − | 0.466884i | \(-0.154623\pi\) |
−0.640542 | + | 0.767923i | \(0.721290\pi\) | |||||||
\(588\) | 4649.13 | − | 5163.39i | 0.326066 | − | 0.362133i | ||||
\(589\) | −2095.46 | − | 445.404i | −0.146591 | − | 0.0311588i | ||||
\(590\) | −401.371 | − | 2534.16i | −0.0280071 | − | 0.176830i | ||||
\(591\) | −2741.44 | + | 3385.40i | −0.190809 | + | 0.235629i | ||||
\(592\) | 796.853 | − | 15204.9i | 0.0553217 | − | 1.05560i | ||||
\(593\) | −9366.47 | + | 9366.47i | −0.648625 | + | 0.648625i | −0.952661 | − | 0.304036i | \(-0.901666\pi\) |
0.304036 | + | 0.952661i | \(0.401666\pi\) | |||||||
\(594\) | 11438.4 | + | 14915.5i | 0.790109 | + | 1.03029i | ||||
\(595\) | −1044.19 | + | 602.864i | −0.0719457 | + | 0.0415379i | ||||
\(596\) | −47.4572 | + | 73.0776i | −0.00326161 | + | 0.00502244i | ||||
\(597\) | 8458.30 | + | 11641.8i | 0.579858 | + | 0.798106i | ||||
\(598\) | −19074.2 | − | 24814.0i | −1.30435 | − | 1.69686i | ||||
\(599\) | −2003.37 | − | 6165.75i | −0.136654 | − | 0.420577i | 0.859190 | − | 0.511657i | \(-0.170968\pi\) |
−0.995844 | + | 0.0910800i | \(0.970968\pi\) | |||||||
\(600\) | −6965.24 | + | 365.033i | −0.473925 | + | 0.0248373i | ||||
\(601\) | 23239.1 | + | 2442.53i | 1.57728 | + | 0.165778i | 0.852322 | − | 0.523018i | \(-0.175194\pi\) |
0.724955 | + | 0.688796i | \(0.241860\pi\) | |||||||
\(602\) | −713.097 | − | 6784.66i | −0.0482785 | − | 0.459339i | ||||
\(603\) | −1160.28 | − | 2277.18i | −0.0783588 | − | 0.153788i | ||||
\(604\) | −7034.24 | + | 1884.82i | −0.473873 | + | 0.126974i | ||||
\(605\) | −974.455 | + | 4571.88i | −0.0654830 | + | 0.307229i | ||||
\(606\) | 13151.7 | + | 13151.7i | 0.881603 | + | 0.881603i | ||||
\(607\) | −9781.02 | + | 8806.87i | −0.654035 | + | 0.588896i | −0.927880 | − | 0.372878i | \(-0.878371\pi\) |
0.273845 | + | 0.961774i | \(0.411704\pi\) | |||||||
\(608\) | −2341.60 | + | 5259.32i | −0.156191 | + | 0.350812i | ||||
\(609\) | 99.4128 | − | 80.5029i | 0.00661479 | − | 0.00535655i | ||||
\(610\) | −9626.83 | + | 3127.95i | −0.638982 | + | 0.207618i | ||||
\(611\) | −2733.03 | − | 4451.35i | −0.180960 | − | 0.294734i | ||||
\(612\) | −418.508 | + | 576.026i | −0.0276424 | + | 0.0380466i | ||||
\(613\) | 86.1138 | + | 224.334i | 0.00567390 | + | 0.0147810i | 0.936388 | − | 0.350966i | \(-0.114147\pi\) |
−0.930714 | + | 0.365747i | \(0.880813\pi\) | |||||||
\(614\) | −12575.6 | + | 2673.03i | −0.826565 | + | 0.175692i | ||||
\(615\) | −4134.23 | + | 7160.70i | −0.271070 | + | 0.469507i | ||||
\(616\) | 2242.09 | − | 927.968i | 0.146650 | − | 0.0606963i | ||||
\(617\) | −5119.25 | − | 19105.3i | −0.334025 | − | 1.24660i | −0.904923 | − | 0.425576i | \(-0.860071\pi\) |
0.570898 | − | 0.821021i | \(-0.306595\pi\) | |||||||
\(618\) | 2673.11 | + | 140.092i | 0.173994 | + | 0.00911864i | ||||
\(619\) | 18167.5 | + | 2877.45i | 1.17967 | + | 0.186841i | 0.715309 | − | 0.698808i | \(-0.246286\pi\) |
0.464356 | + | 0.885649i | \(0.346286\pi\) | |||||||
\(620\) | −966.749 | + | 430.424i | −0.0626219 | + | 0.0278811i | ||||
\(621\) | 20521.2 | + | 18477.4i | 1.32607 | + | 1.19400i | ||||
\(622\) | −157.089 | − | 2997.44i | −0.0101265 | − | 0.193226i | ||||
\(623\) | 1568.13 | + | 1139.31i | 0.100844 | + | 0.0732674i | ||||
\(624\) | −16723.7 | − | 7959.25i | −1.07289 | − | 0.510617i | ||||
\(625\) | −3446.05 | + | 10605.8i | −0.220547 | + | 0.678774i | ||||
\(626\) | 177.393 | − | 662.040i | 0.0113260 | − | 0.0422691i | ||||
\(627\) | 1045.22 | − | 5630.73i | 0.0665745 | − | 0.358644i | ||||
\(628\) | −8113.54 | − | 4684.35i | −0.515550 | − | 0.297653i | ||||
\(629\) | −10970.8 | + | 5589.88i | −0.695441 | + | 0.354345i | ||||
\(630\) | 126.865 | + | 102.734i | 0.00802292 | + | 0.00649683i | ||||
\(631\) | −19019.8 | − | 7301.00i | −1.19994 | − | 0.460615i | −0.325407 | − | 0.945574i | \(-0.605501\pi\) |
−0.874537 | + | 0.484959i | \(0.838835\pi\) | |||||||
\(632\) | −460.716 | + | 904.206i | −0.0289973 | + | 0.0569104i | ||||
\(633\) | −4740.35 | + | 22301.6i | −0.297649 | + | 1.40033i | ||||
\(634\) | 1704.46 | − | 16216.8i | 0.106771 | − | 1.01586i | ||||
\(635\) | −5108.42 | + | 1960.94i | −0.319246 | + | 0.122547i | ||||
\(636\) | 7141.05 | + | 2320.27i | 0.445222 | + | 0.144661i | ||||
\(637\) | −373.509 | + | 14745.5i | −0.0232323 | + | 0.917173i | ||||
\(638\) | 607.933 | − | 145.772i | 0.0377246 | − | 0.00904572i | ||||
\(639\) | 1979.58 | + | 530.426i | 0.122552 | + | 0.0328378i | ||||
\(640\) | −1053.90 | − | 4958.21i | −0.0650923 | − | 0.306235i | ||||
\(641\) | 14930.2 | − | 1569.22i | 0.919978 | − | 0.0966936i | 0.367313 | − | 0.930097i | \(-0.380278\pi\) |
0.552665 | + | 0.833404i | \(0.313611\pi\) | |||||||
\(642\) | −14275.2 | + | 2260.97i | −0.877565 | + | 0.138993i | ||||
\(643\) | −5488.89 | + | 3564.53i | −0.336642 | + | 0.218618i | −0.701878 | − | 0.712297i | \(-0.747655\pi\) |
0.365236 | + | 0.930915i | \(0.380988\pi\) | |||||||
\(644\) | −3763.52 | + | 2444.06i | −0.230285 | + | 0.149549i | ||||
\(645\) | 6240.39 | − | 988.381i | 0.380954 | − | 0.0603372i | ||||
\(646\) | 7179.57 | − | 754.603i | 0.437270 | − | 0.0459589i | ||||
\(647\) | −517.159 | − | 2433.04i | −0.0314244 | − | 0.147840i | 0.959638 | − | 0.281237i | \(-0.0907448\pi\) |
−0.991063 | + | 0.133397i | \(0.957411\pi\) | |||||||
\(648\) | 7921.67 | + | 2122.60i | 0.480235 | + | 0.128679i | ||||
\(649\) | 6439.45 | − | 3943.62i | 0.389477 | − | 0.238522i | ||||
\(650\) | −13509.7 | + | 12842.2i | −0.815220 | + | 0.774941i | ||||
\(651\) | −1693.62 | − | 550.292i | −0.101964 | − | 0.0331300i | ||||
\(652\) | 9261.00 | − | 3554.96i | 0.556271 | − | 0.213532i | ||||
\(653\) | 2109.81 | − | 20073.5i | 0.126437 | − | 1.20297i | −0.728799 | − | 0.684728i | \(-0.759921\pi\) |
0.855236 | − | 0.518240i | \(-0.173412\pi\) | |||||||
\(654\) | −6605.26 | + | 31075.3i | −0.394933 | + | 1.85801i | ||||
\(655\) | −2388.84 | + | 4688.37i | −0.142503 | + | 0.279679i | ||||
\(656\) | 35412.5 | + | 13593.6i | 2.10766 | + | 0.809055i | ||||
\(657\) | −2140.68 | − | 1733.49i | −0.127117 | − | 0.102937i | ||||
\(658\) | −1864.70 | + | 950.113i | −0.110477 | + | 0.0562906i | ||||
\(659\) | −15980.3 | − | 9226.26i | −0.944622 | − | 0.545378i | −0.0532160 | − | 0.998583i | \(-0.516947\pi\) |
−0.891406 | + | 0.453205i | \(0.850281\pi\) | |||||||
\(660\) | −1217.19 | − | 2553.73i | −0.0717866 | − | 0.150612i | ||||
\(661\) | −8147.77 | + | 30407.9i | −0.479442 | + | 1.78930i | 0.124437 | + | 0.992228i | \(0.460288\pi\) |
−0.603879 | + | 0.797076i | \(0.706379\pi\) | |||||||
\(662\) | −3291.37 | + | 10129.8i | −0.193237 | + | 0.594722i | ||||
\(663\) | 1187.90 | + | 14930.5i | 0.0695842 | + | 0.874589i | ||||
\(664\) | 9119.79 | + | 6625.92i | 0.533007 | + | 0.387252i | ||||
\(665\) | −30.9993 | − | 591.503i | −0.00180767 | − | 0.0344925i | ||||
\(666\) | 1238.85 | + | 1115.47i | 0.0720790 | + | 0.0649002i | ||||
\(667\) | 839.028 | − | 373.560i | 0.0487066 | − | 0.0216856i | ||||
\(668\) | −8575.57 | − | 1358.24i | −0.496705 | − | 0.0786703i | ||||
\(669\) | −1311.00 | − | 68.7064i | −0.0757639 | − | 0.00397062i | ||||
\(670\) | 3312.99 | + | 12364.3i | 0.191033 | + | 0.712945i | ||||
\(671\) | −19340.8 | − | 22658.0i | −1.11273 | − | 1.30358i | ||||
\(672\) | −2392.79 | + | 4144.44i | −0.137357 | + | 0.237909i | ||||
\(673\) | 11455.9 | − | 2435.03i | 0.656155 | − | 0.139470i | 0.132209 | − | 0.991222i | \(-0.457793\pi\) |
0.523946 | + | 0.851752i | \(0.324460\pi\) | |||||||
\(674\) | 9861.04 | + | 25688.9i | 0.563551 | + | 1.46810i | ||||
\(675\) | 9666.46 | − | 13304.7i | 0.551203 | − | 0.758667i | ||||
\(676\) | −9456.85 | + | 2551.30i | −0.538055 | + | 0.145158i | ||||
\(677\) | 26223.0 | − | 8520.36i | 1.48867 | − | 0.483699i | 0.551981 | − | 0.833857i | \(-0.313872\pi\) |
0.936691 | + | 0.350158i | \(0.113872\pi\) | |||||||
\(678\) | −3908.51 | + | 3165.05i | −0.221395 | + | 0.179282i | ||||
\(679\) | −248.076 | + | 557.189i | −0.0140211 | + | 0.0314918i | ||||
\(680\) | −2105.24 | + | 1895.56i | −0.118724 | + | 0.106899i | ||||
\(681\) | −10562.5 | − | 10562.5i | −0.594357 | − | 0.594357i | ||||
\(682\) | −6311.21 | − | 5992.47i | −0.354353 | − | 0.336457i | ||||
\(683\) | 7214.76 | − | 1933.19i | 0.404195 | − | 0.108304i | −0.0509931 | − | 0.998699i | \(-0.516239\pi\) |
0.455188 | + | 0.890395i | \(0.349572\pi\) | |||||||
\(684\) | −158.794 | − | 311.651i | −0.00887667 | − | 0.0174215i | ||||
\(685\) | −636.214 | − | 6053.17i | −0.0354869 | − | 0.337635i | ||||
\(686\) | 12283.6 | + | 1291.06i | 0.683660 | + | 0.0718556i | ||||
\(687\) | −30802.6 | + | 1614.30i | −1.71061 | + | 0.0896495i | ||||
\(688\) | −8956.83 | − | 27566.3i | −0.496331 | − | 1.52755i | ||||
\(689\) | −14721.6 | + | 6112.65i | −0.814004 | + | 0.337987i | ||||
\(690\) | −6826.33 | − | 9395.64i | −0.376629 | − | 0.518385i | ||||
\(691\) | −2588.73 | + | 3986.29i | −0.142518 | + | 0.219458i | −0.902720 | − | 0.430228i | \(-0.858433\pi\) |
0.760202 | + | 0.649686i | \(0.225100\pi\) | |||||||
\(692\) | 219.646 | − | 126.812i | 0.0120660 | − | 0.00696631i | ||||
\(693\) | −136.580 | + | 460.614i | −0.00748665 | + | 0.0252486i | ||||
\(694\) | −16320.1 | + | 16320.1i | −0.892652 | + | 0.892652i | ||||
\(695\) | 193.511 | − | 3692.42i | 0.0105616 | − | 0.201527i | ||||
\(696\) | 189.143 | − | 233.572i | 0.0103009 | − | 0.0127206i | ||||
\(697\) | −4798.60 | − | 30297.2i | −0.260775 | − | 1.64647i | ||||
\(698\) | 2430.47 | + | 516.613i | 0.131798 | + | 0.0280145i | ||||
\(699\) | 8550.45 | − | 9496.24i | 0.462672 | − | 0.513849i | ||||
\(700\) | 1681.88 | + | 2076.95i | 0.0908129 | + | 0.112145i | ||||
\(701\) | −2705.04 | + | 1965.33i | −0.145746 | + | 0.105891i | −0.658269 | − | 0.752783i | \(-0.728711\pi\) |
0.512523 | + | 0.858674i | \(0.328711\pi\) | |||||||
\(702\) | 21787.9 | − | 10415.2i | 1.17141 | − | 0.559964i | ||||
\(703\) | − | 6048.65i | − | 0.324508i | ||||||
\(704\) | −82.5171 | + | 56.6785i | −0.00441758 | + | 0.00303430i | ||||
\(705\) | −969.118 | − | 1678.56i | −0.0517717 | − | 0.0896713i | ||||
\(706\) | −7174.41 | − | 7967.99i | −0.382454 | − | 0.424758i | ||||
\(707\) | −885.637 | + | 5591.69i | −0.0471114 | + | 0.297450i | ||||
\(708\) | −1637.66 | + | 4266.26i | −0.0869311 | + | 0.226463i | ||||
\(709\) | 8426.84 | + | 12976.2i | 0.446371 | + | 0.687351i | 0.988205 | − | 0.153135i | \(-0.0489368\pi\) |
−0.541835 | + | 0.840485i | \(0.682270\pi\) | |||||||
\(710\) | −9145.70 | − | 4659.97i | −0.483426 | − | 0.246318i | ||||
\(711\) | −81.7239 | − | 183.555i | −0.00431067 | − | 0.00968192i | ||||
\(712\) | 4160.37 | + | 1852.32i | 0.218984 | + | 0.0974979i | ||||
\(713\) | −10722.8 | − | 6963.48i | −0.563216 | − | 0.365756i | ||||
\(714\) | 6000.94 | 0.314537 | ||||||||
\(715\) | 5487.94 | + | 2439.61i | 0.287045 | + | 0.127603i | ||||
\(716\) | −7961.53 | −0.415553 | ||||||||
\(717\) | −571.470 | − | 371.117i | −0.0297656 | − | 0.0193300i | ||||
\(718\) | −6125.96 | − | 2727.45i | −0.318411 | − | 0.141766i | ||||
\(719\) | −6304.36 | − | 14159.8i | −0.327000 | − | 0.734453i | 0.672987 | − | 0.739655i | \(-0.265011\pi\) |
−0.999986 | + | 0.00520114i | \(0.998344\pi\) | |||||||
\(720\) | 617.988 | + | 314.880i | 0.0319876 | + | 0.0162985i | ||||
\(721\) | 443.759 | + | 683.330i | 0.0229216 | + | 0.0352961i | ||||
\(722\) | 7405.09 | − | 19290.9i | 0.381702 | − | 0.994369i | ||||
\(723\) | 2576.29 | − | 16266.1i | 0.132522 | − | 0.836711i | ||||
\(724\) | −9216.20 | − | 10235.6i | −0.473090 | − | 0.525420i | ||||
\(725\) | −273.487 | − | 473.693i | −0.0140097 | − | 0.0242655i | ||||
\(726\) | 15577.3 | − | 17280.9i | 0.796320 | − | 0.883409i | ||||
\(727\) | − | 2118.54i | − | 0.108077i | −0.998539 | − | 0.0540386i | \(-0.982791\pi\) | ||
0.998539 | − | 0.0540386i | \(-0.0172094\pi\) | |||||||
\(728\) | −570.748 | − | 3064.85i | −0.0290568 | − | 0.156032i | ||||
\(729\) | −17103.7 | + | 12426.6i | −0.868959 | + | 0.631336i | ||||
\(730\) | 8682.18 | + | 10721.6i | 0.440194 | + | 0.543595i | ||||
\(731\) | −15684.1 | + | 17419.0i | −0.793568 | + | 0.881347i | ||||
\(732\) | 17634.5 | + | 3748.33i | 0.890425 | + | 0.189266i | ||||
\(733\) | 686.137 | + | 4332.10i | 0.0345744 | + | 0.218294i | 0.998926 | − | 0.0463292i | \(-0.0147523\pi\) |
−0.964352 | + | 0.264624i | \(0.914752\pi\) | |||||||
\(734\) | 19317.9 | − | 23855.6i | 0.971440 | − | 1.19963i | ||||
\(735\) | −286.453 | + | 5465.84i | −0.0143755 | + | 0.274300i | ||||
\(736\) | −24295.6 | + | 24295.6i | −1.21677 | + | 1.21677i | ||||
\(737\) | −29893.7 | + | 22924.9i | −1.49409 | + | 1.14580i | ||||
\(738\) | −3596.70 | + | 2076.55i | −0.179399 | + | 0.103576i | ||||
\(739\) | −5893.13 | + | 9074.62i | −0.293345 | + | 0.451712i | −0.954359 | − | 0.298662i | \(-0.903460\pi\) |
0.661014 | + | 0.750374i | \(0.270127\pi\) | |||||||
\(740\) | −1756.25 | − | 2417.27i | −0.0872444 | − | 0.120082i | ||||
\(741\) | −6800.12 | − | 2809.89i | −0.337123 | − | 0.139304i | ||||
\(742\) | 1973.57 | + | 6074.01i | 0.0976440 | + | 0.300517i | ||||
\(743\) | 17800.5 | − | 932.886i | 0.878920 | − | 0.0460623i | 0.392464 | − | 0.919767i | \(-0.371623\pi\) |
0.486456 | + | 0.873705i | \(0.338289\pi\) | |||||||
\(744\) | −4161.05 | − | 437.344i | −0.205042 | − | 0.0215508i | ||||
\(745\) | −7.17495 | − | 68.2651i | −0.000352846 | − | 0.00335710i | ||||
\(746\) | 1143.46 | + | 2244.17i | 0.0561194 | + | 0.110141i | ||||
\(747\) | −2155.86 | + | 577.660i | −0.105594 | + | 0.0282938i | ||||
\(748\) | 9471.47 | + | 4520.91i | 0.462983 | + | 0.220990i | ||||
\(749\) | −3110.80 | − | 3110.80i | −0.151757 | − | 0.151757i | ||||
\(750\) | −10842.7 | + | 9762.81i | −0.527892 | + | 0.475316i | ||||
\(751\) | 10685.2 | − | 23999.4i | 0.519186 | − | 1.16611i | −0.443693 | − | 0.896179i | \(-0.646332\pi\) |
0.962879 | − | 0.269933i | \(-0.0870015\pi\) | |||||||
\(752\) | −6910.18 | + | 5595.75i | −0.335091 | + | 0.271351i | ||||
\(753\) | −12192.8 | + | 3961.67i | −0.590078 | + | 0.191728i | ||||
\(754\) | −21.7117 | − | 802.901i | −0.00104867 | − | 0.0387797i | ||||
\(755\) | 3371.97 | − | 4641.12i | 0.162541 | − | 0.223719i | ||||
\(756\) | −1240.85 | − | 3232.53i | −0.0596949 | − | 0.155511i | ||||
\(757\) | 11059.0 | − | 2350.65i | 0.530970 | − | 0.112861i | 0.0653780 | − | 0.997861i | \(-0.479175\pi\) |
0.465592 | + | 0.884999i | \(0.345841\pi\) | |||||||
\(758\) | −19684.8 | + | 34095.1i | −0.943252 | + | 1.63376i | ||||
\(759\) | 17866.8 | − | 29137.7i | 0.854445 | − | 1.39345i | ||||
\(760\) | −360.186 | − | 1344.23i | −0.0171912 | − | 0.0641584i | ||||
\(761\) | 16859.7 | + | 883.577i | 0.803104 | + | 0.0420889i | 0.449471 | − | 0.893295i | \(-0.351613\pi\) |
0.353634 | + | 0.935384i | \(0.384946\pi\) | |||||||
\(762\) | 26898.3 | + | 4260.27i | 1.27877 | + | 0.202537i | ||||
\(763\) | −8834.20 | + | 3933.24i | −0.419161 | + | 0.186622i | ||||
\(764\) | −6030.25 | − | 5429.66i | −0.285559 | − | 0.257118i | ||||
\(765\) | −29.3546 | − | 560.120i | −0.00138734 | − | 0.0264721i | ||||
\(766\) | −23575.8 | − | 17128.9i | −1.11205 | − | 0.807951i | ||||
\(767\) | −3246.21 | − | 9142.17i | −0.152821 | − | 0.430384i | ||||
\(768\) | −7829.61 | + | 24097.1i | −0.367873 | + | 1.13220i | ||||
\(769\) | −5921.68 | + | 22100.0i | −0.277687 | + | 1.03634i | 0.676332 | + | 0.736597i | \(0.263568\pi\) |
−0.954019 | + | 0.299745i | \(0.903098\pi\) | |||||||
\(770\) | 1148.76 | − | 2114.34i | 0.0537642 | − | 0.0989554i | ||||
\(771\) | 2420.07 | + | 1397.23i | 0.113044 | + | 0.0652659i | ||||
\(772\) | −12633.2 | + | 6436.94i | −0.588963 | + | 0.300091i | ||||
\(773\) | −4666.86 | − | 3779.15i | −0.217148 | − | 0.175843i | 0.514574 | − | 0.857446i | \(-0.327950\pi\) |
−0.731722 | + | 0.681603i | \(0.761283\pi\) | |||||||
\(774\) | 2962.73 | + | 1137.29i | 0.137588 | + | 0.0528151i | ||||
\(775\) | −3456.88 | + | 6784.50i | −0.160225 | + | 0.314460i | ||||
\(776\) | −297.940 | + | 1401.70i | −0.0137828 | + | 0.0648428i | ||||
\(777\) | 525.567 | − | 5000.44i | 0.0242659 | − | 0.230875i | ||||
\(778\) | 2612.35 | − | 1002.79i | 0.120382 | − | 0.0462103i | ||||
\(779\) | 14331.5 | + | 4656.58i | 0.659151 | + | 0.214171i | ||||
\(780\) | −3533.44 | + | 851.500i | −0.162202 | + | 0.0390879i | ||||
\(781\) | 2378.56 | − | 30114.9i | 0.108978 | − | 1.37976i | ||||
\(782\) | 41616.9 | + | 11151.2i | 1.90309 | + | 0.509932i | ||||
\(783\) | 147.338 | + | 693.169i | 0.00672467 | + | 0.0316371i | ||||
\(784\) | 24971.6 | − | 2624.63i | 1.13756 | − | 0.119562i | ||||
\(785\) | 7289.39 | − | 1154.53i | 0.331426 | − | 0.0524927i | ||||
\(786\) | 21963.5 | − | 14263.3i | 0.996708 | − | 0.647270i | ||||
\(787\) | −953.306 | + | 619.084i | −0.0431788 | + | 0.0280406i | −0.566048 | − | 0.824372i | \(-0.691528\pi\) |
0.522869 | + | 0.852413i | \(0.324862\pi\) | |||||||
\(788\) | 3873.43 | − | 613.492i | 0.175108 | − | 0.0277344i | ||||
\(789\) | −36356.8 | + | 3821.25i | −1.64048 | + | 0.172421i | ||||
\(790\) | 209.229 | + | 984.345i | 0.00942283 | + | 0.0443309i | ||||
\(791\) | −1478.70 | − | 396.215i | −0.0664682 | − | 0.0178101i | ||||
\(792\) | −88.8785 | + | 1125.29i | −0.00398757 | + | 0.0504865i | ||||
\(793\) | −33619.8 | + | 18291.3i | −1.50551 | + | 0.819095i | ||||
\(794\) | 34260.7 | + | 11132.0i | 1.53132 | + | 0.497556i | ||||
\(795\) | −5522.03 | + | 2119.71i | −0.246348 | + | 0.0945640i | ||||
\(796\) | 1354.15 | − | 12883.9i | 0.0602973 | − | 0.573690i | ||||
\(797\) | 3926.58 | − | 18473.1i | 0.174513 | − | 0.821018i | −0.800581 | − | 0.599225i | \(-0.795476\pi\) |
0.975094 | − | 0.221793i | \(-0.0711910\pi\) | |||||||
\(798\) | −1338.35 | + | 2626.66i | −0.0593697 | + | 0.116520i | ||||
\(799\) | 6712.99 | + | 2576.87i | 0.297232 | + | 0.114097i | ||||
\(800\) | 15902.4 | + | 12877.5i | 0.702795 | + | 0.569112i | ||||
\(801\) | −803.400 | + | 409.353i | −0.0354391 | + | 0.0180571i | ||||
\(802\) | 41871.5 | + | 24174.5i | 1.84356 | + | 1.06438i | ||||
\(803\) | −19383.8 | + | 35676.7i | −0.851853 | + | 1.56787i | ||||
\(804\) | 5900.69 | − | 22021.7i | 0.258833 | − | 0.965976i | ||||
\(805\) | 1092.39 | − | 3362.03i | 0.0478281 | − | 0.147200i | ||||
\(806\) | −9209.37 | + | 6341.03i | −0.402464 | + | 0.277113i | ||||
\(807\) | −12074.4 | − | 8772.56i | −0.526690 | − | 0.382663i | ||||
\(808\) | 696.147 | + | 13283.3i | 0.0303099 | + | 0.578347i | ||||
\(809\) | −6649.55 | − | 5987.28i | −0.288981 | − | 0.260200i | 0.511870 | − | 0.859063i | \(-0.328953\pi\) |
−0.800852 | + | 0.598863i | \(0.795619\pi\) | |||||||
\(810\) | 7429.50 | − | 3307.82i | 0.322279 | − | 0.143488i | ||||
\(811\) | −240.215 | − | 38.0463i | −0.0104008 | − | 0.00164733i | 0.151232 | − | 0.988498i | \(-0.451676\pi\) |
−0.161633 | + | 0.986851i | \(0.551676\pi\) | |||||||
\(812\) | −115.004 | − | 6.02710i | −0.00497025 | − | 0.000260480i | ||||
\(813\) | −4514.95 | − | 16850.0i | −0.194768 | − | 0.726883i | ||||
\(814\) | 12844.9 | − | 20947.9i | 0.553090 | − | 0.901994i | ||||
\(815\) | −3907.22 | + | 6767.50i | −0.167931 | + | 0.290865i | ||||
\(816\) | 24939.2 | − | 5300.98i | 1.06991 | − | 0.227416i | ||||
\(817\) | −4126.50 | − | 10749.9i | −0.176705 | − | 0.460332i | ||||
\(818\) | 19339.6 | − | 26618.7i | 0.826644 | − | 1.13778i | ||||
\(819\) | 542.702 | + | 294.063i | 0.0231545 | + | 0.0125463i | ||||
\(820\) | 7079.45 | − | 2300.25i | 0.301494 | − | 0.0979613i | ||||
\(821\) | 28305.3 | − | 22921.1i | 1.20324 | − | 0.974365i | 0.203251 | − | 0.979127i | \(-0.434849\pi\) |
0.999989 | + | 0.00476198i | \(0.00151579\pi\) | |||||||
\(822\) | −12321.2 | + | 27673.8i | −0.522810 | + | 1.17425i | ||||
\(823\) | −27717.4 | + | 24956.9i | −1.17396 | + | 1.05704i | −0.176609 | + | 0.984281i | \(0.556513\pi\) |
−0.997350 | + | 0.0727560i | \(0.976821\pi\) | |||||||
\(824\) | 1353.63 | + | 1353.63i | 0.0572283 | + | 0.0572283i | ||||
\(825\) | −18370.2 | − | 8768.43i | −0.775234 | − | 0.370033i | ||||
\(826\) | −3754.51 | + | 1006.02i | −0.158155 | + | 0.0423775i | ||||
\(827\) | 11140.7 | + | 21864.9i | 0.468440 | + | 0.919366i | 0.997492 | + | 0.0707763i | \(0.0225476\pi\) |
−0.529052 | + | 0.848589i | \(0.677452\pi\) | |||||||
\(828\) | −218.205 | − | 2076.08i | −0.00915839 | − | 0.0871362i | ||||
\(829\) | −44343.3 | − | 4660.67i | −1.85779 | − | 0.195261i | −0.891551 | − | 0.452919i | \(-0.850382\pi\) |
−0.966236 | + | 0.257658i | \(0.917049\pi\) | |||||||
\(830\) | 11163.2 | − | 585.038i | 0.466843 | − | 0.0244662i | ||||
\(831\) | −1043.57 | − | 3211.77i | −0.0435631 | − | 0.134074i | ||||
\(832\) | 49.3205 | + | 118.783i | 0.00205515 | + | 0.00494959i | ||||
\(833\) | −11935.2 | − | 16427.4i | −0.496434 | − | 0.683283i | ||||
\(834\) | −10022.7 | + | 15433.6i | −0.416137 | + | 0.640794i | ||||
\(835\) | 5923.32 | − | 3419.83i | 0.245491 | − | 0.141734i | ||||
\(836\) | −4091.19 | + | 3137.46i | −0.169255 | + | 0.129798i | ||||
\(837\) | 6975.74 | − | 6975.74i | 0.288073 | − | 0.288073i | ||||
\(838\) | 2763.50 | − | 52730.8i | 0.113918 | − | 2.17369i | ||||
\(839\) | −27076.1 | + | 33436.2i | −1.11415 | + | 1.37586i | −0.195538 | + | 0.980696i | \(0.562645\pi\) |
−0.918611 | + | 0.395163i | \(0.870688\pi\) | |||||||
\(840\) | −180.966 | − | 1142.58i | −0.00743326 | − | 0.0469317i | ||||
\(841\) | −23833.0 | − | 5065.86i | −0.977202 | − | 0.207711i | ||||
\(842\) | 643.203 | − | 714.349i | 0.0263257 | − | 0.0292376i | ||||
\(843\) | 18307.6 | + | 22608.0i | 0.747979 | + | 0.923677i | ||||
\(844\) | 16605.7 | − | 12064.8i | 0.677242 | − | 0.492045i | ||||
\(845\) | 4524.69 | − | 6250.15i | 0.184206 | − | 0.254452i | ||||
\(846\) | − | 973.543i | − | 0.0395639i | ||||||
\(847\) | 7042.50 | + | 744.177i | 0.285694 | + | 0.0301892i | ||||
\(848\) | 13567.4 | + | 23499.5i | 0.549419 | + | 0.951621i | ||||
\(849\) | 6620.40 | + | 7352.70i | 0.267623 | + | 0.297225i | ||||
\(850\) | 4014.01 | − | 25343.4i | 0.161976 | − | 1.02267i | ||||
\(851\) | 12936.9 | − | 33701.8i | 0.521117 | − | 1.35756i | ||||
\(852\) | 9956.97 | + | 15332.4i | 0.400376 | + | 0.616525i | ||||
\(853\) | 18785.1 | + | 9571.49i | 0.754033 | + | 0.384199i | 0.788362 | − | 0.615212i | \(-0.210930\pi\) |
−0.0343293 | + | 0.999411i | \(0.510930\pi\) | |||||||
\(854\) | 6237.15 | + | 14008.9i | 0.249919 | + | 0.561327i | ||||
\(855\) | 251.715 | + | 112.071i | 0.0100684 | + | 0.00448274i | ||||
\(856\) | −8668.76 | − | 5629.56i | −0.346136 | − | 0.224783i | ||||
\(857\) | 28856.5 | 1.15020 | 0.575099 | − | 0.818084i | \(-0.304964\pi\) | ||||
0.575099 | + | 0.818084i | \(0.304964\pi\) | |||||||
\(858\) | −17583.3 | − | 24172.1i | −0.699632 | − | 0.961796i | ||||
\(859\) | −32060.3 | −1.27344 | −0.636719 | − | 0.771096i | \(-0.719709\pi\) | ||||
−0.636719 | + | 0.771096i | \(0.719709\pi\) | |||||||
\(860\) | −4770.37 | − | 3097.91i | −0.189149 | − | 0.122835i | ||||
\(861\) | 11443.3 | + | 5094.88i | 0.452945 | + | 0.201664i | ||||
\(862\) | 19349.3 | + | 43459.1i | 0.764545 | + | 1.71720i | ||||
\(863\) | −12175.2 | − | 6203.60i | −0.480244 | − | 0.244696i | 0.197072 | − | 0.980389i | \(-0.436857\pi\) |
−0.677315 | + | 0.735693i | \(0.736857\pi\) | |||||||
\(864\) | −14439.0 | − | 22234.2i | −0.568549 | − | 0.875489i | ||||
\(865\) | −71.5999 | + | 186.524i | −0.00281442 | + | 0.00733180i | ||||
\(866\) | 4299.22 | − | 27144.2i | 0.168699 | − | 1.06512i | ||||
\(867\) | 2483.86 | + | 2758.61i | 0.0972970 | + | 0.108059i | ||||
\(868\) | 801.584 | + | 1388.38i | 0.0313451 | + | 0.0542913i | ||||
\(869\) | −2441.27 | + | 1676.83i | −0.0952983 | + | 0.0654575i | ||||
\(870\) | − | 298.039i | − | 0.0116143i | ||||||
\(871\) | 20874.1 | + | 43667.3i | 0.812045 | + | 1.69875i | ||||
\(872\) | −18381.1 | + | 13354.7i | −0.713835 | + | 0.518632i | ||||
\(873\) | −178.554 | − | 220.496i | −0.00692228 | − | 0.00854831i | ||||
\(874\) | −14162.5 | + | 15729.1i | −0.548116 | + | 0.608745i | ||||
\(875\) | −4344.04 | − | 923.355i | −0.167835 | − | 0.0356744i | ||||
\(876\) | −3843.90 | − | 24269.4i | −0.148257 | − | 0.936058i | ||||
\(877\) | 21230.6 | − | 26217.6i | 0.817453 | − | 1.00947i | −0.182204 | − | 0.983261i | \(-0.558323\pi\) |
0.999656 | − | 0.0262090i | \(-0.00834355\pi\) | |||||||
\(878\) | 1871.59 | − | 35712.1i | 0.0719398 | − | 1.37269i | ||||
\(879\) | −15292.1 | + | 15292.1i | −0.586791 | + | 0.586791i | ||||
\(880\) | 2906.38 | − | 9801.72i | 0.111334 | − | 0.375473i | ||||
\(881\) | 43273.4 | − | 24983.9i | 1.65485 | − | 0.955426i | 0.679808 | − | 0.733390i | \(-0.262063\pi\) |
0.975039 | − | 0.222035i | \(-0.0712701\pi\) | |||||||
\(882\) | −1497.30 | + | 2305.65i | −0.0571620 | + | 0.0880217i | ||||
\(883\) | −11836.3 | − | 16291.3i | −0.451104 | − | 0.620891i | 0.521531 | − | 0.853233i | \(-0.325361\pi\) |
−0.972634 | + | 0.232342i | \(0.925361\pi\) | |||||||
\(884\) | 8199.28 | − | 10704.5i | 0.311959 | − | 0.407273i | ||||
\(885\) | −1112.42 | − | 3423.68i | −0.0422527 | − | 0.130041i | ||||
\(886\) | 13359.2 | − | 700.127i | 0.506559 | − | 0.0265476i | ||||
\(887\) | −16655.9 | − | 1750.61i | −0.630498 | − | 0.0662680i | −0.216111 | − | 0.976369i | \(-0.569337\pi\) |
−0.414387 | + | 0.910101i | \(0.636004\pi\) | |||||||
\(888\) | −1234.83 | − | 11748.6i | −0.0466645 | − | 0.443983i | ||||
\(889\) | 3763.37 | + | 7386.04i | 0.141979 | + | 0.278650i | ||||
\(890\) | 4362.17 | − | 1168.84i | 0.164292 | − | 0.0440220i | ||||
\(891\) | 17356.9 | + | 16480.3i | 0.652611 | + | 0.619652i | ||||
\(892\) | 835.701 | + | 835.701i | 0.0313692 | + | 0.0313692i | ||||
\(893\) | −2625.07 | + | 2363.62i | −0.0983701 | + | 0.0885728i | ||||
\(894\) | −138.953 | + | 312.093i | −0.00519830 | + | 0.0116756i | ||||
\(895\) | 4874.06 | − | 3946.93i | 0.182036 | − | 0.147409i | ||||
\(896\) | −7303.36 | + | 2373.01i | −0.272308 | + | 0.0884783i | ||||
\(897\) | −31878.9 | − | 30200.2i | −1.18663 | − | 1.12414i | ||||
\(898\) | 5333.91 | − | 7341.49i | 0.198212 | − | 0.272816i | ||||
\(899\) | −117.585 | − | 306.319i | −0.00436227 | − | 0.0113641i | ||||
\(900\) | −1216.06 | + | 258.481i | −0.0450391 | + | 0.00957337i | ||||
\(901\) | 10971.7 | − | 19003.6i | 0.405684 | − | 0.702665i | ||||
\(902\) | 39744.6 | + | 46561.3i | 1.46713 | + | 1.71876i | ||||
\(903\) | −2477.33 | − | 9245.53i | −0.0912961 | − | 0.340722i | ||||
\(904\) | −3591.84 | − | 188.240i | −0.132149 | − | 0.00692564i | ||||
\(905\) | 10716.5 | + | 1697.32i | 0.393622 | + | 0.0623436i | ||||
\(906\) | −26083.5 | + | 11613.1i | −0.956473 | + | 0.425849i | ||||
\(907\) | 20038.3 | + | 18042.5i | 0.733583 | + | 0.660521i | 0.948740 | − | 0.316058i | \(-0.102360\pi\) |
−0.215157 | + | 0.976580i | \(0.569026\pi\) | |||||||
\(908\) | 703.804 | + | 13429.4i | 0.0257231 | + | 0.490825i | ||||
\(909\) | −2130.63 | − | 1547.99i | −0.0777431 | − | 0.0564837i | ||||
\(910\) | −2352.51 | − | 2005.76i | −0.0856977 | − | 0.0730661i | ||||
\(911\) | 10400.0 | − | 32007.9i | 0.378230 | − | 1.16407i | −0.563044 | − | 0.826427i | \(-0.690370\pi\) |
0.941274 | − | 0.337645i | \(-0.109630\pi\) | |||||||
\(912\) | −3241.73 | + | 12098.3i | −0.117702 | + | 0.439270i | ||||
\(913\) | 14154.9 | + | 29697.8i | 0.513100 | + | 1.07651i | ||||
\(914\) | 36408.0 | + | 21020.2i | 1.31758 | + | 0.760706i | ||||
\(915\) | −12654.1 | + | 6447.60i | −0.457194 | + | 0.232952i | ||||
\(916\) | 21580.1 | + | 17475.2i | 0.778414 | + | 0.630348i | ||||
\(917\) | 7441.97 | + | 2856.71i | 0.268000 | + | 0.102875i | ||||
\(918\) | −15092.5 | + | 29620.7i | −0.542621 | + | 1.06495i | ||||
\(919\) | −4417.90 | + | 20784.6i | −0.158578 | + | 0.746050i | 0.824937 | + | 0.565224i | \(0.191210\pi\) |
−0.983515 | + | 0.180826i | \(0.942123\pi\) | |||||||
\(920\) | 868.175 | − | 8260.13i | 0.0311118 | − | 0.296009i | ||||
\(921\) | −16840.3 | + | 6464.40i | −0.602506 | + | 0.231280i | ||||
\(922\) | −144.374 | − | 46.9101i | −0.00515696 | − | 0.00167560i | ||||
\(923\) | −37222.4 | − | 10991.2i | −1.32740 | − | 0.391959i | ||||
\(924\) | −3654.82 | + | 2238.27i | −0.130124 | + | 0.0796901i | ||||
\(925\) | −20766.5 | − | 5564.38i | −0.738162 | − | 0.197790i | ||||
\(926\) | −3340.21 | − | 15714.5i | −0.118538 | − | 0.557677i | ||||
\(927\) | −376.947 | + | 39.6187i | −0.0133555 | + | 0.00140372i | ||||
\(928\) | −870.897 | + | 137.937i | −0.0308067 | + | 0.00487930i | ||||
\(929\) | 13648.3 | − | 8863.32i | 0.482009 | − | 0.313020i | −0.280662 | − | 0.959807i | \(-0.590554\pi\) |
0.762671 | + | 0.646786i | \(0.223887\pi\) | |||||||
\(930\) | −3479.66 | + | 2259.71i | −0.122691 | + | 0.0796763i | ||||
\(931\) | 9852.20 | − | 1560.43i | 0.346824 | − | 0.0549315i | ||||
\(932\) | −11440.9 | + | 1202.49i | −0.402103 | + | 0.0422627i | ||||
\(933\) | −875.588 | − | 4119.32i | −0.0307240 | − | 0.144545i | ||||
\(934\) | −38323.5 | − | 10268.7i | −1.34259 | − | 0.359747i | ||||
\(935\) | −8039.69 | + | 1927.78i | −0.281204 | + | 0.0674280i | ||||
\(936\) | 1390.87 | + | 410.701i | 0.0485705 | + | 0.0143421i | ||||
\(937\) | −18128.3 | − | 5890.26i | −0.632046 | − | 0.205364i | −0.0245649 | − | 0.999698i | \(-0.507820\pi\) |
−0.607481 | + | 0.794334i | \(0.707820\pi\) | |||||||
\(938\) | 18103.9 | − | 6949.43i | 0.630184 | − | 0.241905i | ||||
\(939\) | 100.519 | − | 956.376i | 0.00349342 | − | 0.0332376i | ||||
\(940\) | −362.789 | + | 1706.79i | −0.0125882 | + | 0.0592226i | ||||
\(941\) | −16762.6 | + | 32898.4i | −0.580706 | + | 1.13970i | 0.394603 | + | 0.918852i | \(0.370882\pi\) |
−0.975308 | + | 0.220847i | \(0.929118\pi\) | |||||||
\(942\) | −34292.0 | − | 13163.5i | −1.18609 | − | 0.455296i | ||||
\(943\) | 69892.4 | + | 56597.7i | 2.41358 | + | 1.95448i | ||||
\(944\) | −14714.6 | + | 7497.46i | −0.507330 | + | 0.258497i | ||||
\(945\) | 2362.18 | + | 1363.81i | 0.0813141 | + | 0.0469467i | ||||
\(946\) | 8537.50 | − | 45992.5i | 0.293423 | − | 1.58070i | ||||
\(947\) | 6204.28 | − | 23154.7i | 0.212896 | − | 0.794537i | −0.774001 | − | 0.633184i | \(-0.781748\pi\) |
0.986897 | − | 0.161353i | \(-0.0515858\pi\) | |||||||
\(948\) | 553.870 | − | 1704.64i | 0.0189756 | − | 0.0584008i | ||||
\(949\) | 39695.4 | + | 33844.4i | 1.35782 | + | 1.15768i | ||||
\(950\) | 10197.8 | + | 7409.13i | 0.348274 | + | 0.253036i | ||||
\(951\) | −1197.36 | − | 22847.0i | −0.0408277 | − | 0.779039i | ||||
\(952\) | 3189.31 | + | 2871.67i | 0.108578 | + | 0.0977639i | ||||
\(953\) | −35920.4 | + | 15992.8i | −1.22096 | + | 0.543607i | −0.913066 | − | 0.407812i | \(-0.866292\pi\) |
−0.307896 | + | 0.951420i | \(0.599625\pi\) | |||||||
\(954\) | −2934.38 | − | 464.760i | −0.0995849 | − | 0.0157727i | ||||
\(955\) | 6383.48 | + | 334.544i | 0.216298 | + | 0.0113357i | ||||
\(956\) | 158.769 | + | 592.536i | 0.00537131 | + | 0.0200460i | ||||
\(957\) | 810.465 | − | 335.440i | 0.0273758 | − | 0.0113305i | ||||
\(958\) | −5568.73 | + | 9645.32i | −0.187805 | + | 0.325288i | ||||
\(959\) | −9019.22 | + | 1917.09i | −0.303697 | + | 0.0645529i | ||||
\(960\) | 17.1031 | + | 44.5551i | 0.000575000 | + | 0.00149793i | ||||
\(961\) | 14825.9 | − | 20406.1i | 0.497664 | − | 0.684976i | ||||
\(962\) | −22918.7 | − | 21711.8i | −0.768116 | − | 0.727667i | ||||
\(963\) | 1946.35 | − | 632.407i | 0.0651301 | − | 0.0211620i | ||||
\(964\) | −11522.2 | + | 9330.47i | −0.384963 | + | 0.311737i | ||||
\(965\) | 4542.95 | − | 10203.6i | 0.151547 | − | 0.340380i | ||||
\(966\) | −13074.9 | + | 11772.7i | −0.435484 | + | 0.392112i | ||||
\(967\) | −22297.7 | − | 22297.7i | −0.741516 | − | 0.741516i | 0.231354 | − | 0.972870i | \(-0.425685\pi\) |
−0.972870 | + | 0.231354i | \(0.925685\pi\) | |||||||
\(968\) | 16548.4 | − | 1729.95i | 0.549468 | − | 0.0574409i | ||||
\(969\) | 9783.67 | − | 2621.53i | 0.324352 | − | 0.0869097i | ||||
\(970\) | 645.139 | + | 1266.16i | 0.0213548 | + | 0.0419111i | ||||
\(971\) | −1618.58 | − | 15399.8i | −0.0534940 | − | 0.508962i | −0.988159 | − | 0.153432i | \(-0.950967\pi\) |
0.934665 | − | 0.355529i | \(-0.115699\pi\) | |||||||
\(972\) | 3069.26 | + | 322.593i | 0.101283 | + | 0.0106452i | ||||
\(973\) | −5593.80 | + | 293.158i | −0.184305 | + | 0.00965902i | ||||
\(974\) | −7585.72 | − | 23346.4i | −0.249550 | − | 0.768037i | ||||
\(975\) | −15902.7 | + | 20761.6i | −0.522354 | + | 0.681952i | ||||
\(976\) | 38295.7 | + | 52709.5i | 1.25596 | + | 1.72868i | ||||
\(977\) | 9966.30 | − | 15346.8i | 0.326356 | − | 0.502545i | −0.636966 | − | 0.770892i | \(-0.719811\pi\) |
0.963322 | + | 0.268347i | \(0.0864775\pi\) | |||||||
\(978\) | 33682.0 | − | 19446.3i | 1.10126 | − | 0.635813i | ||||
\(979\) | 8088.02 | + | 10546.6i | 0.264039 | + | 0.344302i | ||||
\(980\) | 3484.23 | − | 3484.23i | 0.113571 | − | 0.113571i | ||||
\(981\) | 235.431 | − | 4492.30i | 0.00766233 | − | 0.146206i | ||||
\(982\) | 6210.09 | − | 7668.82i | 0.201804 | − | 0.249208i | ||||
\(983\) | 176.210 | + | 1112.55i | 0.00571743 | + | 0.0360984i | 0.990382 | − | 0.138359i | \(-0.0441828\pi\) |
−0.984665 | + | 0.174458i | \(0.944183\pi\) | |||||||
\(984\) | 28787.4 | + | 6118.95i | 0.932631 | + | 0.198237i | ||||
\(985\) | −2067.18 | + | 2295.84i | −0.0668689 | + | 0.0742655i | ||||
\(986\) | 695.830 | + | 859.278i | 0.0224744 | + | 0.0277535i | ||||
\(987\) | −2375.53 | + | 1725.92i | −0.0766098 | + | 0.0556603i | ||||
\(988\) | 2856.79 | + | 5976.22i | 0.0919904 | + | 0.192438i | ||||
\(989\) | − | 68721.8i | − | 2.20953i | ||||||
\(990\) | 633.755 | + | 922.671i | 0.0203455 | + | 0.0296206i | ||||
\(991\) | −7145.75 | − | 12376.8i | −0.229054 | − | 0.396732i | 0.728474 | − | 0.685073i | \(-0.240230\pi\) |
−0.957528 | + | 0.288341i | \(0.906896\pi\) | |||||||
\(992\) | 8213.51 | + | 9122.03i | 0.262882 | + | 0.291960i | ||||
\(993\) | −2337.76 | + | 14760.1i | −0.0747097 | + | 0.471698i | ||||
\(994\) | −5572.64 | + | 14517.2i | −0.177820 | + | 0.463238i | ||||
\(995\) | 5558.19 | + | 8558.86i | 0.177092 | + | 0.272697i | ||||
\(996\) | −17739.7 | − | 9038.84i | −0.564362 | − | 0.287557i | ||||
\(997\) | −2689.94 | − | 6041.71i | −0.0854476 | − | 0.191919i | 0.865768 | − | 0.500446i | \(-0.166831\pi\) |
−0.951215 | + | 0.308527i | \(0.900164\pi\) | |||||||
\(998\) | −63689.6 | − | 28356.5i | −2.02010 | − | 0.899407i | ||||
\(999\) | 23360.4 | + | 15170.4i | 0.739830 | + | 0.480451i |
(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 | 143.4.w.a.2.9 | ✓ | 640 | |
11.6 | odd | 10 | inner | 143.4.w.a.28.9 | yes | 640 | |
13.7 | odd | 12 | inner | 143.4.w.a.46.9 | yes | 640 | |
143.72 | even | 60 | inner | 143.4.w.a.72.9 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.w.a.2.9 | ✓ | 640 | 1.1 | even | 1 | trivial | |
143.4.w.a.28.9 | yes | 640 | 11.6 | odd | 10 | inner | |
143.4.w.a.46.9 | yes | 640 | 13.7 | odd | 12 | inner | |
143.4.w.a.72.9 | yes | 640 | 143.72 | even | 60 | inner |