Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,4,Mod(5,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.k (of order \(32\), 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: | \(7.55224448073\) |
Analytic rank: | \(0\) |
Dimension: | \(752\) |
Relative dimension: | \(47\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 5.9 | ||
Character | \(\chi\) | \(=\) | 128.5 |
Dual form | 128.4.k.a.77.9 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.42367 | − | 1.45802i | −0.856896 | − | 0.515489i | ||||
\(3\) | −4.84264 | − | 1.46900i | −0.931967 | − | 0.282709i | −0.212440 | − | 0.977174i | \(-0.568141\pi\) |
−0.719527 | + | 0.694465i | \(0.755641\pi\) | |||||||
\(4\) | 3.74833 | + | 7.06753i | 0.468542 | + | 0.883441i | ||||
\(5\) | −16.3353 | − | 1.60888i | −1.46107 | − | 0.143903i | −0.663975 | − | 0.747755i | \(-0.731132\pi\) |
−0.797096 | + | 0.603852i | \(0.793632\pi\) | |||||||
\(6\) | 9.59512 | + | 10.6211i | 0.652865 | + | 0.722671i | ||||
\(7\) | −11.5654 | − | 17.3089i | −0.624474 | − | 0.934591i | −0.999970 | − | 0.00776726i | \(-0.997528\pi\) |
0.375496 | − | 0.926824i | \(-0.377472\pi\) | |||||||
\(8\) | 1.21991 | − | 22.5945i | 0.0539128 | − | 0.998546i | ||||
\(9\) | −1.15646 | − | 0.772719i | −0.0428317 | − | 0.0286192i | ||||
\(10\) | 37.2455 | + | 27.7166i | 1.17781 | + | 0.876476i | ||||
\(11\) | −19.5121 | + | 36.5045i | −0.534828 | + | 1.00059i | 0.458870 | + | 0.888503i | \(0.348254\pi\) |
−0.993698 | + | 0.112090i | \(0.964246\pi\) | |||||||
\(12\) | −7.76964 | − | 39.7318i | −0.186909 | − | 0.955799i | ||||
\(13\) | 3.26062 | + | 33.1056i | 0.0695641 | + | 0.706296i | 0.965201 | + | 0.261510i | \(0.0842204\pi\) |
−0.895637 | + | 0.444786i | \(0.853280\pi\) | |||||||
\(14\) | 2.79399 | + | 58.8136i | 0.0533376 | + | 1.12276i | ||||
\(15\) | 76.7424 | + | 31.7878i | 1.32099 | + | 0.547171i | ||||
\(16\) | −35.9000 | + | 52.9829i | −0.560937 | + | 0.827858i | ||||
\(17\) | 46.5328 | − | 19.2745i | 0.663874 | − | 0.274986i | −0.0251935 | − | 0.999683i | \(-0.508020\pi\) |
0.689068 | + | 0.724697i | \(0.258020\pi\) | |||||||
\(18\) | 1.67622 | + | 3.55895i | 0.0219494 | + | 0.0466030i | ||||
\(19\) | 80.5519 | − | 98.1527i | 0.972625 | − | 1.18515i | −0.0100767 | − | 0.999949i | \(-0.503208\pi\) |
0.982701 | − | 0.185197i | \(-0.0592924\pi\) | |||||||
\(20\) | −49.8592 | − | 121.481i | −0.557443 | − | 1.35820i | ||||
\(21\) | 30.5805 | + | 100.810i | 0.317772 | + | 1.04755i | ||||
\(22\) | 100.515 | − | 60.0258i | 0.974087 | − | 0.581706i | ||||
\(23\) | −17.9173 | − | 90.0761i | −0.162435 | − | 0.816616i | −0.972971 | − | 0.230927i | \(-0.925824\pi\) |
0.810536 | − | 0.585689i | \(-0.199176\pi\) | |||||||
\(24\) | −39.0989 | + | 107.625i | −0.332543 | + | 0.915370i | ||||
\(25\) | 141.655 | + | 28.1768i | 1.13324 | + | 0.225415i | ||||
\(26\) | 40.3661 | − | 84.9911i | 0.304479 | − | 0.641082i | ||||
\(27\) | 91.1454 | + | 111.061i | 0.649664 | + | 0.791618i | ||||
\(28\) | 78.9799 | − | 146.618i | 0.533064 | − | 0.989581i | ||||
\(29\) | −76.1648 | + | 40.7110i | −0.487705 | + | 0.260684i | −0.696871 | − | 0.717196i | \(-0.745425\pi\) |
0.209166 | + | 0.977880i | \(0.432925\pi\) | |||||||
\(30\) | −139.651 | − | 188.935i | −0.849888 | − | 1.14982i | ||||
\(31\) | 155.388 | + | 155.388i | 0.900274 | + | 0.900274i | 0.995460 | − | 0.0951856i | \(-0.0303445\pi\) |
−0.0951856 | + | 0.995460i | \(0.530344\pi\) | |||||||
\(32\) | 164.260 | − | 76.0700i | 0.907417 | − | 0.420232i | ||||
\(33\) | 148.115 | − | 148.115i | 0.781319 | − | 0.781319i | ||||
\(34\) | −140.883 | − | 21.1309i | −0.710624 | − | 0.106586i | ||||
\(35\) | 161.076 | + | 301.353i | 0.777911 | + | 1.45537i | ||||
\(36\) | 1.12643 | − | 11.0697i | 0.00521496 | − | 0.0512486i | ||||
\(37\) | −211.911 | + | 173.910i | −0.941564 | + | 0.772722i | −0.973952 | − | 0.226754i | \(-0.927189\pi\) |
0.0323879 | + | 0.999475i | \(0.489689\pi\) | |||||||
\(38\) | −338.340 | + | 120.443i | −1.44437 | + | 0.514170i | ||||
\(39\) | 32.8421 | − | 165.109i | 0.134845 | − | 0.677911i | ||||
\(40\) | −56.2795 | + | 367.125i | −0.222464 | + | 1.45119i | ||||
\(41\) | −470.768 | + | 93.6416i | −1.79321 | + | 0.356692i | −0.975681 | − | 0.219195i | \(-0.929657\pi\) |
−0.817530 | + | 0.575887i | \(0.804657\pi\) | |||||||
\(42\) | 72.8669 | − | 288.918i | 0.267705 | − | 1.06145i | ||||
\(43\) | 480.874 | − | 145.872i | 1.70541 | − | 0.517330i | 0.720957 | − | 0.692980i | \(-0.243703\pi\) |
0.984453 | + | 0.175649i | \(0.0562025\pi\) | |||||||
\(44\) | −331.135 | − | 1.07103i | −1.13455 | − | 0.00366962i | ||||
\(45\) | 17.6478 | + | 14.4832i | 0.0584618 | + | 0.0479783i | ||||
\(46\) | −87.9076 | + | 244.438i | −0.281767 | + | 0.783489i | ||||
\(47\) | −111.707 | − | 269.684i | −0.346683 | − | 0.836967i | −0.997007 | − | 0.0773101i | \(-0.975367\pi\) |
0.650324 | − | 0.759657i | \(-0.274633\pi\) | |||||||
\(48\) | 251.683 | − | 203.840i | 0.756818 | − | 0.612955i | ||||
\(49\) | −34.5778 | + | 83.4781i | −0.100810 | + | 0.243376i | ||||
\(50\) | −302.241 | − | 274.827i | −0.854867 | − | 0.777328i | ||||
\(51\) | −253.656 | + | 24.9829i | −0.696450 | + | 0.0685943i | ||||
\(52\) | −221.753 | + | 147.135i | −0.591378 | + | 0.392385i | ||||
\(53\) | −27.3748 | − | 14.6321i | −0.0709476 | − | 0.0379223i | 0.435541 | − | 0.900169i | \(-0.356557\pi\) |
−0.506489 | + | 0.862246i | \(0.669057\pi\) | |||||||
\(54\) | −58.9766 | − | 402.067i | −0.148624 | − | 1.01323i | ||||
\(55\) | 377.467 | − | 564.919i | 0.925410 | − | 1.38497i | ||||
\(56\) | −405.194 | + | 240.200i | −0.966899 | + | 0.573179i | ||||
\(57\) | −534.270 | + | 356.988i | −1.24151 | + | 0.829548i | ||||
\(58\) | 243.956 | + | 12.3803i | 0.552293 | + | 0.0280278i | ||||
\(59\) | −68.2668 | + | 693.124i | −0.150637 | + | 1.52944i | 0.561544 | + | 0.827447i | \(0.310207\pi\) |
−0.712181 | + | 0.701995i | \(0.752293\pi\) | |||||||
\(60\) | 62.9954 | + | 661.531i | 0.135544 | + | 1.42339i | ||||
\(61\) | −94.1740 | + | 310.450i | −0.197668 | + | 0.651624i | 0.800933 | + | 0.598753i | \(0.204337\pi\) |
−0.998601 | + | 0.0528706i | \(0.983163\pi\) | |||||||
\(62\) | −150.049 | − | 603.168i | −0.307360 | − | 1.23552i | ||||
\(63\) | 28.9538i | 0.0579021i | ||||||||
\(64\) | −509.024 | − | 55.1265i | −0.994187 | − | 0.107669i | ||||
\(65\) | − | 546.035i | − | 1.04196i | ||||||
\(66\) | −574.937 | + | 143.027i | −1.07227 | + | 0.266748i | ||||
\(67\) | −85.5872 | + | 282.143i | −0.156062 | + | 0.514467i | −0.999750 | − | 0.0223670i | \(-0.992880\pi\) |
0.843688 | + | 0.536834i | \(0.180380\pi\) | |||||||
\(68\) | 310.644 | + | 256.625i | 0.553987 | + | 0.457652i | ||||
\(69\) | −45.5549 | + | 462.527i | −0.0794807 | + | 0.806981i | ||||
\(70\) | 48.9837 | − | 965.232i | 0.0836381 | − | 1.64810i | ||||
\(71\) | 136.766 | − | 91.3844i | 0.228608 | − | 0.152751i | −0.435991 | − | 0.899951i | \(-0.643602\pi\) |
0.664600 | + | 0.747200i | \(0.268602\pi\) | |||||||
\(72\) | −18.8700 | + | 25.1869i | −0.0308868 | + | 0.0412264i | ||||
\(73\) | 254.844 | − | 381.401i | 0.408592 | − | 0.611501i | −0.568917 | − | 0.822395i | \(-0.692637\pi\) |
0.977509 | + | 0.210894i | \(0.0676374\pi\) | |||||||
\(74\) | 767.166 | − | 112.531i | 1.20515 | − | 0.176776i | ||||
\(75\) | −644.590 | − | 344.541i | −0.992412 | − | 0.530455i | ||||
\(76\) | 995.633 | + | 201.394i | 1.50272 | + | 0.303966i | ||||
\(77\) | 857.517 | − | 84.4581i | 1.26913 | − | 0.124999i | ||||
\(78\) | −320.331 | + | 352.284i | −0.465004 | + | 0.511388i | ||||
\(79\) | 122.328 | − | 295.325i | 0.174214 | − | 0.420590i | −0.812520 | − | 0.582933i | \(-0.801905\pi\) |
0.986734 | + | 0.162343i | \(0.0519050\pi\) | |||||||
\(80\) | 671.679 | − | 807.732i | 0.938701 | − | 1.12884i | ||||
\(81\) | −263.865 | − | 637.026i | −0.361955 | − | 0.873836i | ||||
\(82\) | 1277.52 | + | 459.435i | 1.72047 | + | 0.618733i | ||||
\(83\) | −103.048 | − | 84.5690i | −0.136277 | − | 0.111839i | 0.563786 | − | 0.825921i | \(-0.309344\pi\) |
−0.700062 | + | 0.714082i | \(0.746844\pi\) | |||||||
\(84\) | −597.854 | + | 593.999i | −0.776562 | + | 0.771555i | ||||
\(85\) | −791.137 | + | 239.989i | −1.00954 | + | 0.306240i | ||||
\(86\) | −1378.16 | − | 347.582i | −1.72804 | − | 0.435822i | ||||
\(87\) | 428.643 | − | 85.2625i | 0.528223 | − | 0.105070i | ||||
\(88\) | 800.999 | + | 485.398i | 0.970304 | + | 0.587995i | ||||
\(89\) | −161.679 | + | 812.817i | −0.192561 | + | 0.968072i | 0.756743 | + | 0.653713i | \(0.226790\pi\) |
−0.949304 | + | 0.314359i | \(0.898210\pi\) | |||||||
\(90\) | −21.6556 | − | 60.8333i | −0.0253633 | − | 0.0712488i | ||||
\(91\) | 535.311 | − | 439.318i | 0.616657 | − | 0.506078i | ||||
\(92\) | 569.456 | − | 464.266i | 0.645325 | − | 0.526121i | ||||
\(93\) | −524.223 | − | 980.753i | −0.584510 | − | 1.09354i | ||||
\(94\) | −122.466 | + | 816.496i | −0.134376 | + | 0.895905i | ||||
\(95\) | −1473.75 | + | 1473.75i | −1.59162 | + | 1.59162i | ||||
\(96\) | −907.199 | + | 127.082i | −0.964486 | + | 0.135107i | ||||
\(97\) | 516.852 | + | 516.852i | 0.541015 | + | 0.541015i | 0.923826 | − | 0.382812i | \(-0.125044\pi\) |
−0.382812 | + | 0.923826i | \(0.625044\pi\) | |||||||
\(98\) | 205.518 | − | 151.908i | 0.211841 | − | 0.156582i | ||||
\(99\) | 50.7726 | − | 27.1385i | 0.0515438 | − | 0.0275507i | ||||
\(100\) | 331.828 | + | 1106.76i | 0.331828 | + | 1.10676i | ||||
\(101\) | −452.955 | − | 551.928i | −0.446245 | − | 0.543751i | 0.500500 | − | 0.865737i | \(-0.333150\pi\) |
−0.946745 | + | 0.321986i | \(0.895650\pi\) | |||||||
\(102\) | 651.204 | + | 309.286i | 0.632145 | + | 0.300234i | ||||
\(103\) | 105.712 | + | 21.0275i | 0.101128 | + | 0.0201155i | 0.245395 | − | 0.969423i | \(-0.421082\pi\) |
−0.144267 | + | 0.989539i | \(0.546082\pi\) | |||||||
\(104\) | 751.983 | − | 33.2863i | 0.709019 | − | 0.0313845i | ||||
\(105\) | −337.348 | − | 1695.96i | −0.313541 | − | 1.57628i | ||||
\(106\) | 45.0135 | + | 75.3766i | 0.0412462 | + | 0.0690681i | ||||
\(107\) | −362.549 | − | 1195.16i | −0.327560 | − | 1.07982i | −0.953863 | − | 0.300241i | \(-0.902933\pi\) |
0.626304 | − | 0.779579i | \(-0.284567\pi\) | |||||||
\(108\) | −443.283 | + | 1060.47i | −0.394953 | + | 0.944846i | ||||
\(109\) | 100.507 | − | 122.469i | 0.0883198 | − | 0.107618i | −0.726975 | − | 0.686663i | \(-0.759075\pi\) |
0.815295 | + | 0.579045i | \(0.196575\pi\) | |||||||
\(110\) | −1738.52 | + | 818.820i | −1.50692 | + | 0.709740i | ||||
\(111\) | 1281.68 | − | 530.890i | 1.09596 | − | 0.453962i | ||||
\(112\) | 1332.27 | + | 8.61834i | 1.12400 | + | 0.00727104i | ||||
\(113\) | 2037.18 | + | 843.827i | 1.69594 | + | 0.702483i | 0.999880 | − | 0.0154965i | \(-0.00493288\pi\) |
0.696064 | + | 0.717980i | \(0.254933\pi\) | |||||||
\(114\) | 1815.39 | − | 86.2417i | 1.49146 | − | 0.0708533i | ||||
\(115\) | 147.761 | + | 1500.24i | 0.119816 | + | 1.21651i | ||||
\(116\) | −573.217 | − | 385.699i | −0.458809 | − | 0.308718i | ||||
\(117\) | 21.8106 | − | 40.8047i | 0.0172341 | − | 0.0322427i | ||||
\(118\) | 1176.05 | − | 1580.37i | 0.917491 | − | 1.23292i | ||||
\(119\) | −871.792 | − | 582.513i | −0.671572 | − | 0.448730i | ||||
\(120\) | 811.848 | − | 1695.18i | 0.617593 | − | 1.28957i | ||||
\(121\) | −212.395 | − | 317.871i | −0.159575 | − | 0.238821i | ||||
\(122\) | 680.890 | − | 615.120i | 0.505286 | − | 0.456478i | ||||
\(123\) | 2417.32 | + | 238.085i | 1.77205 | + | 0.174532i | ||||
\(124\) | −515.763 | + | 1680.65i | −0.373523 | + | 1.21716i | ||||
\(125\) | −305.192 | − | 92.5790i | −0.218378 | − | 0.0662441i | ||||
\(126\) | 42.2153 | − | 70.1743i | 0.0298479 | − | 0.0496161i | ||||
\(127\) | 663.291 | 0.463445 | 0.231723 | − | 0.972782i | \(-0.425564\pi\) | ||||
0.231723 | + | 0.972782i | \(0.425564\pi\) | |||||||
\(128\) | 1153.33 | + | 875.777i | 0.796413 | + | 0.604754i | ||||
\(129\) | −2542.99 | −1.73564 | ||||||||
\(130\) | −796.133 | + | 1323.41i | −0.537119 | + | 0.892851i | ||||
\(131\) | 1721.46 | + | 522.198i | 1.14813 | + | 0.348280i | 0.806313 | − | 0.591489i | \(-0.201460\pi\) |
0.341812 | + | 0.939768i | \(0.388960\pi\) | |||||||
\(132\) | 1601.99 | + | 491.623i | 1.05633 | + | 0.324169i | ||||
\(133\) | −2630.53 | − | 259.085i | −1.71501 | − | 0.168913i | ||||
\(134\) | 618.806 | − | 559.033i | 0.398931 | − | 0.360396i | ||||
\(135\) | −1310.20 | − | 1960.85i | −0.835290 | − | 1.25010i | ||||
\(136\) | −378.733 | − | 1074.90i | −0.238794 | − | 0.677734i | ||||
\(137\) | 2112.05 | + | 1411.23i | 1.31711 | + | 0.880067i | 0.997716 | − | 0.0675545i | \(-0.0215196\pi\) |
0.319397 | + | 0.947621i | \(0.396520\pi\) | |||||||
\(138\) | 784.785 | − | 1054.59i | 0.484097 | − | 0.650527i | ||||
\(139\) | 247.279 | − | 462.626i | 0.150892 | − | 0.282298i | −0.795107 | − | 0.606469i | \(-0.792585\pi\) |
0.945999 | + | 0.324171i | \(0.105085\pi\) | |||||||
\(140\) | −1526.05 | + | 2267.98i | −0.921249 | + | 1.36914i | ||||
\(141\) | 144.790 | + | 1470.08i | 0.0864790 | + | 0.878036i | ||||
\(142\) | −464.717 | + | 22.0768i | −0.274635 | + | 0.0130468i | ||||
\(143\) | −1272.13 | − | 526.932i | −0.743920 | − | 0.308142i | ||||
\(144\) | 82.4576 | − | 33.5318i | 0.0477185 | − | 0.0194050i | ||||
\(145\) | 1309.67 | − | 542.484i | 0.750085 | − | 0.310696i | ||||
\(146\) | −1173.75 | + | 552.821i | −0.665343 | + | 0.313368i | ||||
\(147\) | 290.077 | − | 353.460i | 0.162756 | − | 0.198319i | ||||
\(148\) | −2023.43 | − | 845.810i | −1.12382 | − | 0.469764i | ||||
\(149\) | 293.951 | + | 969.028i | 0.161620 | + | 0.532791i | 0.999923 | − | 0.0124142i | \(-0.00395167\pi\) |
−0.838303 | + | 0.545205i | \(0.816452\pi\) | |||||||
\(150\) | 1059.92 | + | 1774.88i | 0.576950 | + | 0.966122i | ||||
\(151\) | −40.1455 | − | 201.825i | −0.0216357 | − | 0.108770i | 0.968458 | − | 0.249175i | \(-0.0801595\pi\) |
−0.990094 | + | 0.140405i | \(0.955160\pi\) | |||||||
\(152\) | −2119.45 | − | 1939.77i | −1.13099 | − | 1.03510i | ||||
\(153\) | −68.7069 | − | 13.6667i | −0.0363047 | − | 0.00722146i | ||||
\(154\) | −2201.48 | − | 1045.58i | −1.15195 | − | 0.547113i | ||||
\(155\) | −2288.30 | − | 2788.31i | −1.18581 | − | 1.44492i | ||||
\(156\) | 1290.01 | − | 386.769i | 0.662075 | − | 0.198502i | ||||
\(157\) | −3133.76 | + | 1675.03i | −1.59300 | + | 0.851477i | −0.594111 | + | 0.804383i | \(0.702496\pi\) |
−0.998890 | + | 0.0470944i | \(0.985004\pi\) | |||||||
\(158\) | −727.072 | + | 537.413i | −0.366093 | + | 0.270597i | ||||
\(159\) | 111.072 | + | 111.072i | 0.0553998 | + | 0.0553998i | ||||
\(160\) | −2805.62 | + | 978.350i | −1.38627 | + | 0.483408i | ||||
\(161\) | −1351.90 | + | 1351.90i | −0.661766 | + | 0.661766i | ||||
\(162\) | −289.278 | + | 1928.66i | −0.140295 | + | 0.935370i | ||||
\(163\) | 1514.49 | + | 2833.41i | 0.727755 | + | 1.36153i | 0.924539 | + | 0.381087i | \(0.124450\pi\) |
−0.196784 | + | 0.980447i | \(0.563050\pi\) | |||||||
\(164\) | −2426.41 | − | 2976.17i | −1.15531 | − | 1.41707i | ||||
\(165\) | −2657.80 | + | 2181.20i | −1.25400 | + | 1.02913i | ||||
\(166\) | 126.450 | + | 355.213i | 0.0591229 | + | 0.166084i | ||||
\(167\) | −308.204 | + | 1549.45i | −0.142812 | + | 0.717963i | 0.841322 | + | 0.540534i | \(0.181778\pi\) |
−0.984134 | + | 0.177429i | \(0.943222\pi\) | |||||||
\(168\) | 2315.06 | − | 567.971i | 1.06316 | − | 0.260833i | ||||
\(169\) | 1069.43 | − | 212.724i | 0.486770 | − | 0.0968246i | ||||
\(170\) | 2267.36 | + | 571.843i | 1.02293 | + | 0.257990i | ||||
\(171\) | −168.999 | + | 51.2653i | −0.0755771 | + | 0.0229261i | ||||
\(172\) | 2833.43 | + | 2851.82i | 1.25609 | + | 1.26424i | ||||
\(173\) | −681.497 | − | 559.290i | −0.299499 | − | 0.245792i | 0.472626 | − | 0.881263i | \(-0.343306\pi\) |
−0.772125 | + | 0.635471i | \(0.780806\pi\) | |||||||
\(174\) | −1163.20 | − | 418.324i | −0.506795 | − | 0.182259i | ||||
\(175\) | −1150.58 | − | 2777.76i | −0.497006 | − | 1.19988i | ||||
\(176\) | −1233.63 | − | 2344.32i | −0.528344 | − | 1.00403i | ||||
\(177\) | 1348.79 | − | 3256.27i | 0.572776 | − | 1.38280i | ||||
\(178\) | 1576.96 | − | 1734.27i | 0.664036 | − | 0.730274i | ||||
\(179\) | 1269.01 | − | 124.987i | 0.529891 | − | 0.0521897i | 0.170466 | − | 0.985364i | \(-0.445473\pi\) |
0.359425 | + | 0.933174i | \(0.382973\pi\) | |||||||
\(180\) | −36.2104 | + | 179.014i | −0.0149943 | + | 0.0741274i | ||||
\(181\) | −2494.69 | − | 1333.44i | −1.02447 | − | 0.547591i | −0.128502 | − | 0.991709i | \(-0.541017\pi\) |
−0.895968 | + | 0.444118i | \(0.853517\pi\) | |||||||
\(182\) | −1937.95 | + | 284.266i | −0.789289 | + | 0.115776i | ||||
\(183\) | 912.102 | − | 1365.06i | 0.368440 | − | 0.551410i | ||||
\(184\) | −2057.08 | + | 294.947i | −0.824186 | + | 0.118173i | ||||
\(185\) | 3741.42 | − | 2499.94i | 1.48689 | − | 0.993508i | ||||
\(186\) | −159.417 | + | 3141.35i | −0.0628444 | + | 1.23836i | ||||
\(187\) | −204.344 | + | 2074.74i | −0.0799099 | + | 0.811338i | ||||
\(188\) | 1487.29 | − | 1800.36i | 0.576976 | − | 0.698428i | ||||
\(189\) | 868.206 | − | 2862.09i | 0.334141 | − | 1.10152i | ||||
\(190\) | 5720.66 | − | 1423.12i | 2.18432 | − | 0.543390i | ||||
\(191\) | − | 1044.29i | − | 0.395615i | −0.980241 | − | 0.197808i | \(-0.936618\pi\) | ||
0.980241 | − | 0.197808i | \(-0.0633821\pi\) | |||||||
\(192\) | 2384.04 | + | 1014.71i | 0.896110 | + | 0.381409i | ||||
\(193\) | 1072.56i | 0.400024i | 0.979793 | + | 0.200012i | \(0.0640981\pi\) | ||||
−0.979793 | + | 0.200012i | \(0.935902\pi\) | |||||||
\(194\) | −499.096 | − | 2006.26i | −0.184706 | − | 0.742480i | ||||
\(195\) | −802.126 | + | 2644.25i | −0.294571 | + | 0.971072i | ||||
\(196\) | −719.593 | + | 68.5244i | −0.262242 | + | 0.0249725i | ||||
\(197\) | 155.654 | − | 1580.38i | 0.0562938 | − | 0.571560i | −0.925122 | − | 0.379669i | \(-0.876038\pi\) |
0.981416 | − | 0.191891i | \(-0.0614621\pi\) | |||||||
\(198\) | −162.624 | − | 8.25288i | −0.0583698 | − | 0.00296215i | ||||
\(199\) | −1688.65 | + | 1128.32i | −0.601534 | + | 0.401932i | −0.818716 | − | 0.574199i | \(-0.805314\pi\) |
0.217182 | + | 0.976131i | \(0.430314\pi\) | |||||||
\(200\) | 809.447 | − | 3166.24i | 0.286183 | − | 1.11944i | ||||
\(201\) | 828.936 | − | 1240.59i | 0.290889 | − | 0.435346i | ||||
\(202\) | 293.090 | + | 1998.11i | 0.102088 | + | 0.695973i | ||||
\(203\) | 1585.54 | + | 847.488i | 0.548192 | + | 0.293015i | ||||
\(204\) | −1127.36 | − | 1699.08i | −0.386915 | − | 0.583133i | ||||
\(205\) | 7840.79 | − | 772.250i | 2.67134 | − | 0.263104i | ||||
\(206\) | −225.553 | − | 205.095i | −0.0762865 | − | 0.0693671i | ||||
\(207\) | −48.8830 | + | 118.014i | −0.0164135 | + | 0.0396258i | ||||
\(208\) | −1871.09 | − | 1015.73i | −0.623734 | − | 0.338599i | ||||
\(209\) | 2011.28 | + | 4855.67i | 0.665662 | + | 1.60705i | ||||
\(210\) | −1655.14 | + | 4602.32i | −0.543882 | + | 1.51233i | ||||
\(211\) | −930.034 | − | 763.260i | −0.303442 | − | 0.249028i | 0.470333 | − | 0.882489i | \(-0.344134\pi\) |
−0.773775 | + | 0.633461i | \(0.781634\pi\) | |||||||
\(212\) | 0.803165 | − | 248.319i | 0.000260196 | − | 0.0804462i | ||||
\(213\) | −796.555 | + | 241.632i | −0.256240 | + | 0.0777294i | ||||
\(214\) | −863.878 | + | 3425.28i | −0.275951 | + | 1.09415i | ||||
\(215\) | −8089.90 | + | 1609.18i | −2.56617 | + | 0.510443i | ||||
\(216\) | 2620.56 | − | 1923.90i | 0.825492 | − | 0.606041i | ||||
\(217\) | 892.463 | − | 4486.72i | 0.279191 | − | 1.40359i | ||||
\(218\) | −422.158 | + | 150.281i | −0.131157 | + | 0.0466895i | ||||
\(219\) | −1794.40 | + | 1472.62i | −0.553671 | + | 0.454386i | ||||
\(220\) | 5407.45 | + | 550.253i | 1.65714 | + | 0.168627i | ||||
\(221\) | 789.821 | + | 1477.65i | 0.240403 | + | 0.449763i | ||||
\(222\) | −3880.42 | − | 582.021i | −1.17314 | − | 0.175958i | ||||
\(223\) | −2097.65 | + | 2097.65i | −0.629905 | + | 0.629905i | −0.948044 | − | 0.318139i | \(-0.896942\pi\) |
0.318139 | + | 0.948044i | \(0.396942\pi\) | |||||||
\(224\) | −3216.42 | − | 1963.37i | −0.959403 | − | 0.585640i | ||||
\(225\) | −142.044 | − | 142.044i | −0.0420872 | − | 0.0420872i | ||||
\(226\) | −3707.13 | − | 5015.41i | −1.09113 | − | 1.47620i | ||||
\(227\) | −4837.56 | + | 2585.73i | −1.41445 | + | 0.756039i | −0.988856 | − | 0.148875i | \(-0.952435\pi\) |
−0.425594 | + | 0.904914i | \(0.639935\pi\) | |||||||
\(228\) | −4525.65 | − | 2437.86i | −1.31455 | − | 0.708120i | ||||
\(229\) | 3847.44 | + | 4688.12i | 1.11024 | + | 1.35284i | 0.929293 | + | 0.369344i | \(0.120418\pi\) |
0.180951 | + | 0.983492i | \(0.442082\pi\) | |||||||
\(230\) | 1829.27 | − | 3851.53i | 0.524428 | − | 1.10419i | ||||
\(231\) | −4276.72 | − | 850.692i | −1.21813 | − | 0.242301i | ||||
\(232\) | 826.930 | + | 1770.57i | 0.234011 | + | 0.501050i | ||||
\(233\) | −673.696 | − | 3386.90i | −0.189422 | − | 0.952288i | −0.952165 | − | 0.305586i | \(-0.901148\pi\) |
0.762743 | − | 0.646702i | \(-0.223852\pi\) | |||||||
\(234\) | −112.356 | + | 67.0968i | −0.0313886 | + | 0.0187447i | ||||
\(235\) | 1390.87 | + | 4585.09i | 0.386087 | + | 1.27276i | ||||
\(236\) | −5154.56 | + | 2115.58i | −1.42175 | + | 0.583529i | ||||
\(237\) | −1026.22 | + | 1250.45i | −0.281267 | + | 0.342724i | ||||
\(238\) | 1263.62 | + | 2682.91i | 0.344152 | + | 0.730703i | ||||
\(239\) | 4899.83 | − | 2029.57i | 1.32612 | − | 0.549298i | 0.396576 | − | 0.918002i | \(-0.370198\pi\) |
0.929547 | + | 0.368704i | \(0.120198\pi\) | |||||||
\(240\) | −4439.26 | + | 2924.86i | −1.19397 | + | 0.786662i | ||||
\(241\) | 6094.68 | + | 2524.50i | 1.62902 | + | 0.674761i | 0.995121 | − | 0.0986583i | \(-0.0314551\pi\) |
0.633895 | + | 0.773419i | \(0.281455\pi\) | |||||||
\(242\) | 51.3107 | + | 1080.09i | 0.0136296 | + | 0.286904i | ||||
\(243\) | −38.2138 | − | 387.991i | −0.0100881 | − | 0.102427i | ||||
\(244\) | −2547.11 | + | 498.093i | −0.668287 | + | 0.130685i | ||||
\(245\) | 699.144 | − | 1308.01i | 0.182313 | − | 0.341083i | ||||
\(246\) | −5511.65 | − | 4101.55i | −1.42850 | − | 1.06303i | ||||
\(247\) | 3512.06 | + | 2346.68i | 0.904724 | + | 0.604517i | ||||
\(248\) | 3700.47 | − | 3321.35i | 0.947501 | − | 0.850428i | ||||
\(249\) | 374.791 | + | 560.915i | 0.0953872 | + | 0.142757i | ||||
\(250\) | 604.702 | + | 669.358i | 0.152979 | + | 0.169336i | ||||
\(251\) | −353.740 | − | 34.8403i | −0.0889556 | − | 0.00876136i | 0.0534414 | − | 0.998571i | \(-0.482981\pi\) |
−0.142397 | + | 0.989810i | \(0.545481\pi\) | |||||||
\(252\) | −204.632 | + | 108.528i | −0.0511531 | + | 0.0271295i | ||||
\(253\) | 3637.79 | + | 1103.51i | 0.903975 | + | 0.274218i | ||||
\(254\) | −1607.60 | − | 967.093i | −0.397124 | − | 0.238901i | ||||
\(255\) | 4183.74 | 1.02743 | ||||||||
\(256\) | −1518.38 | − | 3804.17i | −0.370699 | − | 0.928753i | ||||
\(257\) | 3704.51 | 0.899148 | 0.449574 | − | 0.893243i | \(-0.351576\pi\) | ||||
0.449574 | + | 0.893243i | \(0.351576\pi\) | |||||||
\(258\) | 6163.36 | + | 3707.73i | 1.48726 | + | 0.894703i | ||||
\(259\) | 5461.03 | + | 1656.59i | 1.31016 | + | 0.397433i | ||||
\(260\) | 3859.12 | − | 2046.72i | 0.920510 | − | 0.488202i | ||||
\(261\) | 119.539 | + | 11.7736i | 0.0283498 | + | 0.00279221i | ||||
\(262\) | −3410.86 | − | 3775.56i | −0.804289 | − | 0.890286i | ||||
\(263\) | −210.473 | − | 314.994i | −0.0493471 | − | 0.0738532i | 0.805976 | − | 0.591949i | \(-0.201641\pi\) |
−0.855323 | + | 0.518095i | \(0.826641\pi\) | |||||||
\(264\) | −3165.90 | − | 3527.27i | −0.738060 | − | 0.822306i | ||||
\(265\) | 423.634 | + | 283.063i | 0.0982023 | + | 0.0656167i | ||||
\(266\) | 5997.78 | + | 4463.31i | 1.38251 | + | 1.02881i | ||||
\(267\) | 1976.98 | − | 3698.67i | 0.453144 | − | 0.847772i | ||||
\(268\) | −2314.87 | + | 452.677i | −0.527623 | + | 0.103178i | ||||
\(269\) | 765.075 | + | 7767.94i | 0.173411 | + | 1.76067i | 0.550823 | + | 0.834622i | \(0.314314\pi\) |
−0.377413 | + | 0.926045i | \(0.623186\pi\) | |||||||
\(270\) | 316.520 | + | 6662.76i | 0.0713437 | + | 1.50179i | ||||
\(271\) | 590.820 | + | 244.726i | 0.132435 | + | 0.0548562i | 0.447917 | − | 0.894075i | \(-0.352166\pi\) |
−0.315482 | + | 0.948932i | \(0.602166\pi\) | |||||||
\(272\) | −649.306 | + | 3157.40i | −0.144743 | + | 0.703844i | ||||
\(273\) | −3237.68 | + | 1341.09i | −0.717777 | + | 0.297313i | ||||
\(274\) | −3061.30 | − | 6499.76i | −0.674964 | − | 1.43308i | ||||
\(275\) | −3792.55 | + | 4621.24i | −0.831635 | + | 1.01335i | ||||
\(276\) | −3439.68 | + | 1411.74i | −0.750160 | + | 0.307888i | ||||
\(277\) | −1157.93 | − | 3817.17i | −0.251166 | − | 0.827984i | −0.988338 | − | 0.152278i | \(-0.951339\pi\) |
0.737171 | − | 0.675706i | \(-0.236161\pi\) | |||||||
\(278\) | −1273.84 | + | 760.714i | −0.274820 | + | 0.164117i | ||||
\(279\) | −59.6280 | − | 299.770i | −0.0127951 | − | 0.0643254i | ||||
\(280\) | 7005.41 | − | 3271.82i | 1.49519 | − | 0.698316i | ||||
\(281\) | −5424.83 | − | 1079.07i | −1.15167 | − | 0.229081i | −0.417906 | − | 0.908490i | \(-0.637236\pi\) |
−0.733759 | + | 0.679410i | \(0.762236\pi\) | |||||||
\(282\) | 1792.49 | − | 3774.09i | 0.378515 | − | 0.796965i | ||||
\(283\) | −3755.50 | − | 4576.09i | −0.788839 | − | 0.961203i | 0.211029 | − | 0.977480i | \(-0.432319\pi\) |
−0.999868 | + | 0.0162769i | \(0.994819\pi\) | |||||||
\(284\) | 1158.51 | + | 624.062i | 0.242059 | + | 0.130392i | ||||
\(285\) | 9301.80 | − | 4971.92i | 1.93330 | − | 1.03337i | ||||
\(286\) | 2314.93 | + | 3131.90i | 0.478618 | + | 0.647528i | ||||
\(287\) | 7065.46 | + | 7065.46i | 1.45317 | + | 1.45317i | ||||
\(288\) | −248.740 | − | 38.9552i | −0.0508929 | − | 0.00797034i | ||||
\(289\) | −1680.22 | + | 1680.22i | −0.341995 | + | 0.341995i | ||||
\(290\) | −3965.17 | − | 594.732i | −0.802905 | − | 0.120427i | ||||
\(291\) | −1743.68 | − | 3262.19i | −0.351258 | − | 0.657157i | ||||
\(292\) | 3650.80 | + | 371.499i | 0.731668 | + | 0.0744532i | ||||
\(293\) | 5025.83 | − | 4124.60i | 1.00209 | − | 0.822394i | 0.0179593 | − | 0.999839i | \(-0.494283\pi\) |
0.984131 | + | 0.177445i | \(0.0567831\pi\) | |||||||
\(294\) | −1218.40 | + | 433.730i | −0.241696 | + | 0.0860397i | ||||
\(295\) | 2230.31 | − | 11212.5i | 0.440182 | − | 2.21295i | ||||
\(296\) | 3670.91 | + | 5000.17i | 0.720836 | + | 0.981855i | ||||
\(297\) | −5832.66 | + | 1160.19i | −1.13955 | + | 0.226670i | ||||
\(298\) | 700.425 | − | 2777.19i | 0.136156 | − | 0.539860i | ||||
\(299\) | 2923.61 | − | 886.866i | 0.565473 | − | 0.171534i | ||||
\(300\) | 18.9120 | − | 5847.12i | 0.00363962 | − | 1.12528i | ||||
\(301\) | −8086.38 | − | 6636.32i | −1.54848 | − | 1.27080i | ||||
\(302\) | −196.966 | + | 547.690i | −0.0375302 | + | 0.104358i | ||||
\(303\) | 1382.72 | + | 3338.18i | 0.262162 | + | 0.632915i | ||||
\(304\) | 2308.61 | + | 7791.56i | 0.435552 | + | 1.46999i | ||||
\(305\) | 2037.84 | − | 4919.77i | 0.382578 | − | 0.923624i | ||||
\(306\) | 146.596 | + | 133.300i | 0.0273868 | + | 0.0249027i | ||||
\(307\) | −7976.10 | + | 785.577i | −1.48280 | + | 0.146043i | −0.806786 | − | 0.590844i | \(-0.798795\pi\) |
−0.676016 | + | 0.736887i | \(0.736295\pi\) | |||||||
\(308\) | 3811.17 | + | 5743.95i | 0.705070 | + | 1.06264i | ||||
\(309\) | −481.037 | − | 257.120i | −0.0885607 | − | 0.0473367i | ||||
\(310\) | 1480.67 | + | 10094.3i | 0.271279 | + | 1.84942i | ||||
\(311\) | −4568.95 | + | 6837.92i | −0.833060 | + | 1.24676i | 0.133686 | + | 0.991024i | \(0.457319\pi\) |
−0.966746 | + | 0.255738i | \(0.917681\pi\) | |||||||
\(312\) | −3690.48 | − | 943.469i | −0.669655 | − | 0.171197i | ||||
\(313\) | −3682.12 | + | 2460.31i | −0.664939 | + | 0.444298i | −0.841692 | − | 0.539957i | \(-0.818440\pi\) |
0.176754 | + | 0.984255i | \(0.443440\pi\) | |||||||
\(314\) | 10037.4 | + | 509.380i | 1.80396 | + | 0.0915477i | ||||
\(315\) | 46.5832 | − | 472.968i | 0.00833228 | − | 0.0845991i | ||||
\(316\) | 2545.74 | − | 242.422i | 0.453193 | − | 0.0431561i | ||||
\(317\) | −536.028 | + | 1767.05i | −0.0949727 | + | 0.313083i | −0.991536 | − | 0.129833i | \(-0.958556\pi\) |
0.896563 | + | 0.442916i | \(0.146056\pi\) | |||||||
\(318\) | −107.256 | − | 431.147i | −0.0189139 | − | 0.0760299i | ||||
\(319\) | − | 3574.72i | − | 0.627416i | ||||||
\(320\) | 8226.35 | + | 1719.47i | 1.43708 | + | 0.300378i | ||||
\(321\) | 6320.33i | 1.09896i | ||||||||
\(322\) | 5247.64 | − | 1305.45i | 0.908198 | − | 0.225931i | ||||
\(323\) | 1856.46 | − | 6119.92i | 0.319802 | − | 1.05425i | ||||
\(324\) | 3513.15 | − | 4252.66i | 0.602392 | − | 0.729194i | ||||
\(325\) | −470.930 | + | 4781.44i | −0.0803770 | + | 0.816081i | ||||
\(326\) | 460.560 | − | 9075.42i | 0.0782456 | − | 1.54184i | ||||
\(327\) | −666.627 | + | 445.426i | −0.112736 | + | 0.0753276i | ||||
\(328\) | 1541.49 | + | 10751.0i | 0.259496 | + | 1.80983i | ||||
\(329\) | −3375.99 | + | 5052.53i | −0.565728 | + | 0.846671i | ||||
\(330\) | 9621.87 | − | 1411.37i | 1.60505 | − | 0.235434i | ||||
\(331\) | 1295.39 | + | 692.401i | 0.215109 | + | 0.114978i | 0.575433 | − | 0.817849i | \(-0.304834\pi\) |
−0.360324 | + | 0.932827i | \(0.617334\pi\) | |||||||
\(332\) | 211.437 | − | 1045.29i | 0.0349522 | − | 0.172794i | ||||
\(333\) | 379.449 | − | 37.3725i | 0.0624435 | − | 0.00615015i | ||||
\(334\) | 3006.12 | − | 3305.98i | 0.492477 | − | 0.541602i | ||||
\(335\) | 1852.03 | − | 4471.19i | 0.302051 | − | 0.729215i | ||||
\(336\) | −6439.06 | − | 1998.84i | −1.04548 | − | 0.324541i | ||||
\(337\) | −1279.69 | − | 3089.44i | −0.206851 | − | 0.499384i | 0.786073 | − | 0.618134i | \(-0.212111\pi\) |
−0.992924 | + | 0.118750i | \(0.962111\pi\) | |||||||
\(338\) | −2902.11 | − | 1043.69i | −0.467024 | − | 0.167956i | ||||
\(339\) | −8625.75 | − | 7078.97i | −1.38197 | − | 1.13415i | ||||
\(340\) | −4661.57 | − | 4691.83i | −0.743557 | − | 0.748382i | ||||
\(341\) | −8704.30 | + | 2640.42i | −1.38230 | + | 0.419316i | ||||
\(342\) | 484.344 | + | 122.155i | 0.0765799 | + | 0.0193139i | ||||
\(343\) | −5158.28 | + | 1026.05i | −0.812015 | + | 0.161520i | ||||
\(344\) | −2709.27 | − | 11043.1i | −0.424635 | − | 1.73082i | ||||
\(345\) | 1488.30 | − | 7482.21i | 0.232254 | − | 1.16762i | ||||
\(346\) | 836.265 | + | 2349.17i | 0.129936 | + | 0.365007i | ||||
\(347\) | 7523.37 | − | 6174.27i | 1.16391 | − | 0.955193i | 0.164393 | − | 0.986395i | \(-0.447433\pi\) |
0.999513 | + | 0.0312016i | \(0.00993338\pi\) | |||||||
\(348\) | 2209.29 | + | 2709.86i | 0.340318 | + | 0.417424i | ||||
\(349\) | −5417.30 | − | 10135.0i | −0.830892 | − | 1.55449i | −0.832191 | − | 0.554490i | \(-0.812913\pi\) |
0.00129891 | − | 0.999999i | \(-0.499587\pi\) | |||||||
\(350\) | −1261.40 | + | 8409.94i | −0.192642 | + | 1.28437i | ||||
\(351\) | −3379.55 | + | 3379.55i | −0.513924 | + | 0.513924i | ||||
\(352\) | −428.153 | + | 7480.52i | −0.0648314 | + | 1.13271i | ||||
\(353\) | 5471.75 | + | 5471.75i | 0.825020 | + | 0.825020i | 0.986823 | − | 0.161803i | \(-0.0517310\pi\) |
−0.161803 | + | 0.986823i | \(0.551731\pi\) | |||||||
\(354\) | −8016.74 | + | 5925.55i | −1.20363 | + | 0.889659i | ||||
\(355\) | −2381.14 | + | 1272.75i | −0.355994 | + | 0.190283i | ||||
\(356\) | −6350.64 | + | 1904.04i | −0.945458 | + | 0.283465i | ||||
\(357\) | 3366.06 | + | 4101.56i | 0.499023 | + | 0.608061i | ||||
\(358\) | −3257.90 | − | 1547.33i | −0.480965 | − | 0.228432i | ||||
\(359\) | 5614.07 | + | 1116.71i | 0.825346 | + | 0.164171i | 0.589653 | − | 0.807656i | \(-0.299264\pi\) |
0.235692 | + | 0.971828i | \(0.424264\pi\) | |||||||
\(360\) | 348.769 | − | 381.075i | 0.0510604 | − | 0.0557901i | ||||
\(361\) | −1807.23 | − | 9085.57i | −0.263483 | − | 1.32462i | ||||
\(362\) | 4102.12 | + | 6869.14i | 0.595587 | + | 0.997332i | ||||
\(363\) | 561.599 | + | 1851.34i | 0.0812020 | + | 0.267687i | ||||
\(364\) | 5111.42 | + | 2136.61i | 0.736020 | + | 0.307662i | ||||
\(365\) | −4776.57 | + | 5820.27i | −0.684979 | + | 0.834649i | ||||
\(366\) | −4200.92 | + | 1978.58i | −0.599961 | + | 0.282574i | ||||
\(367\) | −287.936 | + | 119.267i | −0.0409541 | + | 0.0169637i | −0.403066 | − | 0.915171i | \(-0.632056\pi\) |
0.362112 | + | 0.932134i | \(0.382056\pi\) | |||||||
\(368\) | 5415.73 | + | 2284.42i | 0.767158 | + | 0.323597i | ||||
\(369\) | 616.781 | + | 255.479i | 0.0870145 | + | 0.0360426i | ||||
\(370\) | −12712.9 | + | 603.938i | −1.78625 | + | 0.0848575i | ||||
\(371\) | 63.3353 | + | 643.054i | 0.00886309 | + | 0.0899884i | ||||
\(372\) | 4966.54 | − | 7381.15i | 0.692212 | − | 1.02875i | ||||
\(373\) | −820.753 | + | 1535.52i | −0.113933 | + | 0.213153i | −0.932424 | − | 0.361365i | \(-0.882311\pi\) |
0.818491 | + | 0.574519i | \(0.194811\pi\) | |||||||
\(374\) | 3520.29 | − | 4730.55i | 0.486711 | − | 0.654040i | ||||
\(375\) | 1341.94 | + | 896.654i | 0.184793 | + | 0.123475i | ||||
\(376\) | −6229.65 | + | 2194.97i | −0.854441 | + | 0.301056i | ||||
\(377\) | −1596.11 | − | 2388.74i | −0.218047 | − | 0.326330i | ||||
\(378\) | −6277.24 | + | 5670.89i | −0.854143 | + | 0.771638i | ||||
\(379\) | 1211.03 | + | 119.276i | 0.164132 | + | 0.0161656i | 0.179750 | − | 0.983712i | \(-0.442471\pi\) |
−0.0156171 | + | 0.999878i | \(0.504971\pi\) | |||||||
\(380\) | −15939.9 | − | 4891.68i | −2.15184 | − | 0.660362i | ||||
\(381\) | −3212.08 | − | 974.373i | −0.431915 | − | 0.131020i | ||||
\(382\) | −1522.61 | + | 2531.02i | −0.203935 | + | 0.339001i | ||||
\(383\) | −3468.04 | −0.462686 | −0.231343 | − | 0.972872i | \(-0.574312\pi\) | ||||
−0.231343 | + | 0.972872i | \(0.574312\pi\) | |||||||
\(384\) | −4298.64 | − | 5935.31i | −0.571261 | − | 0.788763i | ||||
\(385\) | −14143.7 | −1.87228 | ||||||||
\(386\) | 1563.82 | − | 2599.53i | 0.206208 | − | 0.342779i | ||||
\(387\) | −668.827 | − | 202.887i | −0.0878512 | − | 0.0266494i | ||||
\(388\) | −1715.53 | + | 5590.21i | −0.224467 | + | 0.731443i | ||||
\(389\) | 9534.36 | + | 939.053i | 1.24270 | + | 0.122396i | 0.697916 | − | 0.716179i | \(-0.254111\pi\) |
0.544786 | + | 0.838575i | \(0.316611\pi\) | |||||||
\(390\) | 5799.47 | − | 5239.28i | 0.752994 | − | 0.680259i | ||||
\(391\) | −2569.91 | − | 3846.15i | −0.332394 | − | 0.497463i | ||||
\(392\) | 1843.96 | + | 883.103i | 0.237587 | + | 0.113784i | ||||
\(393\) | −7569.29 | − | 5057.64i | −0.971553 | − | 0.649171i | ||||
\(394\) | −2681.48 | + | 3603.37i | −0.342871 | + | 0.460749i | ||||
\(395\) | −2473.40 | + | 4627.40i | −0.315064 | + | 0.589442i | ||||
\(396\) | 382.115 | + | 257.112i | 0.0484899 | + | 0.0326272i | ||||
\(397\) | −1033.63 | − | 10494.7i | −0.130672 | − | 1.32673i | −0.807184 | − | 0.590299i | \(-0.799010\pi\) |
0.676513 | − | 0.736431i | \(-0.263490\pi\) | |||||||
\(398\) | 5737.84 | − | 272.581i | 0.722643 | − | 0.0343298i | ||||
\(399\) | 12358.1 | + | 5118.90i | 1.55058 | + | 0.642270i | ||||
\(400\) | −6578.29 | + | 6493.72i | −0.822286 | + | 0.811715i | ||||
\(401\) | −9762.39 | + | 4043.71i | −1.21574 | + | 0.503575i | −0.896052 | − | 0.443949i | \(-0.853577\pi\) |
−0.319685 | + | 0.947524i | \(0.603577\pi\) | |||||||
\(402\) | −3817.88 | + | 1798.17i | −0.473678 | + | 0.223096i | ||||
\(403\) | −4637.55 | + | 5650.88i | −0.573233 | + | 0.698487i | ||||
\(404\) | 2202.94 | − | 5270.08i | 0.271288 | − | 0.649001i | ||||
\(405\) | 3285.40 | + | 10830.5i | 0.403094 | + | 1.32882i | ||||
\(406\) | −2607.16 | − | 4365.78i | −0.318698 | − | 0.533670i | ||||
\(407\) | −2213.70 | − | 11129.0i | −0.269605 | − | 1.35540i | ||||
\(408\) | 255.040 | + | 5761.71i | 0.0309470 | + | 0.699135i | ||||
\(409\) | 5063.21 | + | 1007.14i | 0.612127 | + | 0.121760i | 0.491411 | − | 0.870928i | \(-0.336481\pi\) |
0.120715 | + | 0.992687i | \(0.461481\pi\) | |||||||
\(410\) | −20129.4 | − | 9560.37i | −2.42469 | − | 1.15159i | ||||
\(411\) | −8154.80 | − | 9936.66i | −0.978703 | − | 1.19255i | ||||
\(412\) | 247.633 | + | 825.943i | 0.0296116 | + | 0.0987652i | ||||
\(413\) | 12786.7 | − | 6834.65i | 1.52347 | − | 0.814313i | ||||
\(414\) | 290.543 | − | 214.754i | 0.0344914 | − | 0.0254942i | ||||
\(415\) | 1547.25 | + | 1547.25i | 0.183016 | + | 0.183016i | ||||
\(416\) | 3053.94 | + | 5189.90i | 0.359932 | + | 0.611672i | ||||
\(417\) | −1877.08 | + | 1877.08i | −0.220434 | + | 0.220434i | ||||
\(418\) | 2205.00 | − | 14701.0i | 0.258014 | − | 1.72022i | ||||
\(419\) | 7218.27 | + | 13504.4i | 0.841612 | + | 1.57455i | 0.818281 | + | 0.574818i | \(0.194927\pi\) |
0.0233307 | + | 0.999728i | \(0.492573\pi\) | |||||||
\(420\) | 10721.8 | − | 8741.26i | 1.24564 | − | 1.01555i | ||||
\(421\) | −9839.35 | + | 8074.95i | −1.13905 | + | 0.934795i | −0.998471 | − | 0.0552739i | \(-0.982397\pi\) |
−0.140580 | + | 0.990069i | \(0.544897\pi\) | |||||||
\(422\) | 1141.24 | + | 3205.90i | 0.131647 | + | 0.369812i | ||||
\(423\) | −79.2060 | + | 398.195i | −0.00910432 | + | 0.0457705i | ||||
\(424\) | −364.001 | + | 600.671i | −0.0416921 | + | 0.0687999i | ||||
\(425\) | 7134.68 | − | 1419.18i | 0.814312 | − | 0.161977i | ||||
\(426\) | 2282.89 | + | 575.759i | 0.259639 | + | 0.0654827i | ||||
\(427\) | 6462.70 | − | 1960.44i | 0.732441 | − | 0.222183i | ||||
\(428\) | 7087.90 | − | 7042.19i | 0.800482 | − | 0.795321i | ||||
\(429\) | 5386.39 | + | 4420.50i | 0.606194 | + | 0.497491i | ||||
\(430\) | 21953.5 | + | 7895.15i | 2.46207 | + | 0.885437i | ||||
\(431\) | 1797.40 | + | 4339.30i | 0.200876 | + | 0.484957i | 0.991930 | − | 0.126789i | \(-0.0404672\pi\) |
−0.791054 | + | 0.611747i | \(0.790467\pi\) | |||||||
\(432\) | −9156.45 | + | 842.063i | −1.01977 | + | 0.0937819i | ||||
\(433\) | 877.429 | − | 2118.30i | 0.0973823 | − | 0.235102i | −0.867680 | − | 0.497124i | \(-0.834389\pi\) |
0.965062 | + | 0.262022i | \(0.0843894\pi\) | |||||||
\(434\) | −8704.77 | + | 9573.08i | −0.962771 | + | 1.05881i | ||||
\(435\) | −7139.18 | + | 703.148i | −0.786891 | + | 0.0775020i | ||||
\(436\) | 1242.29 | + | 251.286i | 0.136456 | + | 0.0276018i | ||||
\(437\) | −10284.5 | − | 5497.17i | −1.12580 | − | 0.601752i | ||||
\(438\) | 6496.14 | − | 952.877i | 0.708670 | − | 0.103950i | ||||
\(439\) | 435.086 | − | 651.152i | 0.0473019 | − | 0.0707923i | −0.807065 | − | 0.590463i | \(-0.798945\pi\) |
0.854367 | + | 0.519670i | \(0.173945\pi\) | |||||||
\(440\) | −12303.6 | − | 9217.82i | −1.33307 | − | 0.998733i | ||||
\(441\) | 104.493 | − | 69.8198i | 0.0112831 | − | 0.00753912i | ||||
\(442\) | 240.186 | − | 4732.91i | 0.0258473 | − | 0.509325i | ||||
\(443\) | 562.212 | − | 5708.23i | 0.0602968 | − | 0.612204i | −0.916791 | − | 0.399367i | \(-0.869230\pi\) |
0.977088 | − | 0.212837i | \(-0.0682702\pi\) | |||||||
\(444\) | 8556.25 | + | 7068.37i | 0.914553 | + | 0.755518i | ||||
\(445\) | 3948.80 | − | 13017.5i | 0.420654 | − | 1.38671i | ||||
\(446\) | 8142.42 | − | 2025.58i | 0.864473 | − | 0.215054i | ||||
\(447\) | − | 5124.47i | − | 0.542235i | ||||||
\(448\) | 4932.90 | + | 9448.19i | 0.520217 | + | 0.996395i | ||||
\(449\) | 7324.15i | 0.769818i | 0.922955 | + | 0.384909i | \(0.125767\pi\) | ||||
−0.922955 | + | 0.384909i | \(0.874233\pi\) | |||||||
\(450\) | 137.164 | + | 551.372i | 0.0143689 | + | 0.0577599i | ||||
\(451\) | 5767.32 | − | 19012.3i | 0.602156 | − | 1.98504i | ||||
\(452\) | 1672.25 | + | 17560.8i | 0.174018 | + | 1.82741i | ||||
\(453\) | −102.071 | + | 1036.34i | −0.0105865 | + | 0.107487i | ||||
\(454\) | 15494.7 | + | 786.326i | 1.60177 | + | 0.0812866i | ||||
\(455\) | −9451.26 | + | 6315.13i | −0.973806 | + | 0.650677i | ||||
\(456\) | 7414.21 | + | 12507.1i | 0.761408 | + | 1.28442i | ||||
\(457\) | −4890.43 | + | 7319.05i | −0.500580 | + | 0.749170i | −0.992602 | − | 0.121412i | \(-0.961258\pi\) |
0.492023 | + | 0.870582i | \(0.336258\pi\) | |||||||
\(458\) | −2489.53 | − | 16972.1i | −0.253991 | − | 1.73156i | ||||
\(459\) | 6381.90 | + | 3411.19i | 0.648979 | + | 0.346887i | ||||
\(460\) | −10049.2 | + | 6667.73i | −1.01858 | + | 0.675835i | ||||
\(461\) | −6794.74 | + | 669.223i | −0.686469 | + | 0.0676113i | −0.435238 | − | 0.900316i | \(-0.643336\pi\) |
−0.251232 | + | 0.967927i | \(0.580836\pi\) | |||||||
\(462\) | 9125.02 | + | 8297.35i | 0.918905 | + | 0.835558i | ||||
\(463\) | 1842.26 | − | 4447.62i | 0.184918 | − | 0.446432i | −0.804050 | − | 0.594562i | \(-0.797325\pi\) |
0.988968 | + | 0.148130i | \(0.0473254\pi\) | |||||||
\(464\) | 577.330 | − | 5496.96i | 0.0577627 | − | 0.549978i | ||||
\(465\) | 6985.41 | + | 16864.3i | 0.696647 | + | 1.68185i | ||||
\(466\) | −3305.36 | + | 9190.98i | −0.328579 | + | 0.913657i | ||||
\(467\) | 12282.4 | + | 10079.9i | 1.21705 | + | 0.998806i | 0.999742 | + | 0.0227022i | \(0.00722697\pi\) |
0.217306 | + | 0.976104i | \(0.430273\pi\) | |||||||
\(468\) | 370.142 | + | 1.19719i | 0.0365594 | + | 0.000118248i | ||||
\(469\) | 5873.43 | − | 1781.69i | 0.578273 | − | 0.175417i | ||||
\(470\) | 3314.15 | − | 13140.6i | 0.325256 | − | 1.28964i | ||||
\(471\) | 17636.3 | − | 3508.08i | 1.72535 | − | 0.343193i | ||||
\(472\) | 15577.5 | + | 2388.00i | 1.51910 | + | 0.232874i | ||||
\(473\) | −4057.88 | + | 20400.3i | −0.394464 | + | 1.98310i | ||||
\(474\) | 4310.41 | − | 1534.43i | 0.417687 | − | 0.148689i | ||||
\(475\) | 14176.2 | − | 11634.1i | 1.36936 | − | 1.12381i | ||||
\(476\) | 849.159 | − | 8344.87i | 0.0817671 | − | 0.803543i | ||||
\(477\) | 20.3512 | + | 38.0745i | 0.00195350 | + | 0.00365474i | ||||
\(478\) | −14834.7 | − | 2225.05i | −1.41951 | − | 0.212911i | ||||
\(479\) | −7800.93 | + | 7800.93i | −0.744120 | + | 0.744120i | −0.973368 | − | 0.229248i | \(-0.926373\pi\) |
0.229248 | + | 0.973368i | \(0.426373\pi\) | |||||||
\(480\) | 15023.8 | − | 616.342i | 1.42862 | − | 0.0586084i | ||||
\(481\) | −6448.38 | − | 6448.38i | −0.611270 | − | 0.611270i | ||||
\(482\) | −11090.7 | − | 15004.7i | −1.04807 | − | 1.41794i | ||||
\(483\) | 8532.68 | − | 4560.81i | 0.803831 | − | 0.429657i | ||||
\(484\) | 1450.44 | − | 2692.59i | 0.136217 | − | 0.252873i | ||||
\(485\) | −7611.37 | − | 9274.48i | −0.712607 | − | 0.868314i | ||||
\(486\) | −473.083 | + | 996.078i | −0.0441553 | + | 0.0929692i | ||||
\(487\) | 3505.25 | + | 697.237i | 0.326156 | + | 0.0648764i | 0.355452 | − | 0.934694i | \(-0.384327\pi\) |
−0.0292968 | + | 0.999571i | \(0.509327\pi\) | |||||||
\(488\) | 6899.59 | + | 2506.54i | 0.640020 | + | 0.232511i | ||||
\(489\) | −3171.85 | − | 15946.0i | −0.293326 | − | 1.47465i | ||||
\(490\) | −3601.60 | + | 2150.80i | −0.332048 | + | 0.198293i | ||||
\(491\) | −148.266 | − | 488.766i | −0.0136276 | − | 0.0449241i | 0.949863 | − | 0.312667i | \(-0.101222\pi\) |
−0.963490 | + | 0.267743i | \(0.913722\pi\) | |||||||
\(492\) | 7378.25 | + | 17976.9i | 0.676092 | + | 1.64728i | ||||
\(493\) | −2759.48 | + | 3362.44i | −0.252091 | + | 0.307173i | ||||
\(494\) | −5090.54 | − | 10808.2i | −0.463632 | − | 0.984384i | ||||
\(495\) | −873.046 | + | 361.628i | −0.0792738 | + | 0.0328363i | ||||
\(496\) | −13811.3 | + | 2654.48i | −1.25030 | + | 0.240302i | ||||
\(497\) | −3163.52 | − | 1310.37i | −0.285520 | − | 0.118266i | ||||
\(498\) | −90.5426 | − | 1905.92i | −0.00814721 | − | 0.171499i | ||||
\(499\) | 253.872 | + | 2577.61i | 0.0227753 | + | 0.231242i | 0.999833 | + | 0.0182674i | \(0.00581502\pi\) |
−0.977058 | + | 0.212974i | \(0.931685\pi\) | |||||||
\(500\) | −489.657 | − | 2503.97i | −0.0437963 | − | 0.223962i | ||||
\(501\) | 3768.66 | − | 7050.67i | 0.336071 | − | 0.628744i | ||||
\(502\) | 806.550 | + | 600.203i | 0.0717093 | + | 0.0533632i | ||||
\(503\) | 3744.59 | + | 2502.05i | 0.331934 | + | 0.221791i | 0.710357 | − | 0.703842i | \(-0.248533\pi\) |
−0.378423 | + | 0.925633i | \(0.623533\pi\) | |||||||
\(504\) | 654.196 | + | 35.3209i | 0.0578179 | + | 0.00312167i | ||||
\(505\) | 6511.16 | + | 9744.64i | 0.573748 | + | 0.858675i | ||||
\(506\) | −7207.84 | − | 7978.52i | −0.633256 | − | 0.700966i | ||||
\(507\) | −5491.38 | − | 540.854i | −0.481027 | − | 0.0473770i | ||||
\(508\) | 2486.23 | + | 4687.83i | 0.217143 | + | 0.409426i | ||||
\(509\) | 8093.58 | + | 2455.16i | 0.704797 | + | 0.213798i | 0.622283 | − | 0.782792i | \(-0.286205\pi\) |
0.0825136 | + | 0.996590i | \(0.473705\pi\) | |||||||
\(510\) | −10140.0 | − | 6099.98i | −0.880404 | − | 0.529631i | ||||
\(511\) | −9548.99 | −0.826659 | ||||||||
\(512\) | −1866.52 | + | 11433.9i | −0.161112 | + | 0.986936i | ||||
\(513\) | 18242.9 | 1.57006 | ||||||||
\(514\) | −8978.51 | − | 5401.27i | −0.770477 | − | 0.463501i | ||||
\(515\) | −1693.01 | − | 513.568i | −0.144860 | − | 0.0439428i | ||||
\(516\) | −9531.96 | − | 17972.6i | −0.813220 | − | 1.53334i | ||||
\(517\) | 12024.3 | + | 1184.29i | 1.02288 | + | 0.100745i | ||||
\(518\) | −10820.4 | − | 11977.3i | −0.917800 | − | 1.01593i | ||||
\(519\) | 2478.65 | + | 3709.56i | 0.209635 | + | 0.313741i | ||||
\(520\) | −12337.4 | − | 666.113i | −1.04044 | − | 0.0561750i | ||||
\(521\) | −938.551 | − | 627.120i | −0.0789226 | − | 0.0527344i | 0.515483 | − | 0.856900i | \(-0.327613\pi\) |
−0.594405 | + | 0.804165i | \(0.702613\pi\) | |||||||
\(522\) | −272.558 | − | 202.826i | −0.0228535 | − | 0.0170067i | ||||
\(523\) | 2074.34 | − | 3880.82i | 0.173431 | − | 0.324467i | −0.780155 | − | 0.625586i | \(-0.784860\pi\) |
0.953587 | + | 0.301119i | \(0.0973600\pi\) | |||||||
\(524\) | 2761.94 | + | 14123.8i | 0.230260 | + | 1.17748i | ||||
\(525\) | 1491.35 | + | 15141.9i | 0.123977 | + | 1.25875i | ||||
\(526\) | 50.8463 | + | 1070.32i | 0.00421484 | + | 0.0887224i | ||||
\(527\) | 10225.7 | + | 4235.61i | 0.845231 | + | 0.350106i | ||||
\(528\) | 2530.24 | + | 13164.9i | 0.208551 | + | 1.08509i | ||||
\(529\) | 3448.16 | − | 1428.28i | 0.283403 | − | 0.117389i | ||||
\(530\) | −614.035 | − | 1303.72i | −0.0503245 | − | 0.106849i | ||||
\(531\) | 614.538 | − | 748.816i | 0.0502235 | − | 0.0611975i | ||||
\(532\) | −8029.02 | − | 19562.5i | −0.654327 | − | 1.59425i | ||||
\(533\) | −4635.06 | − | 15279.7i | −0.376673 | − | 1.24172i | ||||
\(534\) | −10184.3 | + | 6081.87i | −0.825314 | + | 0.492862i | ||||
\(535\) | 3999.45 | + | 20106.6i | 0.323199 | + | 1.62483i | ||||
\(536\) | 6270.48 | + | 2277.99i | 0.505305 | + | 0.183571i | ||||
\(537\) | −6328.99 | − | 1258.91i | −0.508596 | − | 0.101166i | ||||
\(538\) | 9471.55 | − | 19942.4i | 0.759010 | − | 1.59810i | ||||
\(539\) | −2372.64 | − | 2891.07i | −0.189605 | − | 0.231034i | ||||
\(540\) | 8947.32 | − | 16609.8i | 0.713021 | − | 1.32365i | ||||
\(541\) | −8928.40 | + | 4772.33i | −0.709542 | + | 0.379258i | −0.786344 | − | 0.617788i | \(-0.788029\pi\) |
0.0768028 | + | 0.997046i | \(0.475529\pi\) | |||||||
\(542\) | −1075.14 | − | 1454.56i | −0.0852049 | − | 0.115275i | ||||
\(543\) | 10122.1 | + | 10122.1i | 0.799964 | + | 0.799964i | ||||
\(544\) | 6177.27 | − | 6705.79i | 0.486853 | − | 0.528508i | ||||
\(545\) | −1838.85 | + | 1838.85i | −0.144528 | + | 0.144528i | ||||
\(546\) | 9802.39 | + | 1470.25i | 0.768322 | + | 0.115240i | ||||
\(547\) | −747.987 | − | 1399.39i | −0.0584673 | − | 0.109385i | 0.850990 | − | 0.525182i | \(-0.176003\pi\) |
−0.909457 | + | 0.415797i | \(0.863503\pi\) | |||||||
\(548\) | −2057.22 | + | 20216.7i | −0.160365 | + | 1.57594i | ||||
\(549\) | 348.799 | − | 286.252i | 0.0271154 | − | 0.0222531i | ||||
\(550\) | 15929.8 | − | 5670.72i | 1.23500 | − | 0.439637i | ||||
\(551\) | −2139.33 | + | 10755.1i | −0.165406 | + | 0.831550i | ||||
\(552\) | 10395.0 | + | 1593.53i | 0.801522 | + | 0.122872i | ||||
\(553\) | −6526.51 | + | 1298.20i | −0.501872 | + | 0.0998286i | ||||
\(554\) | −2759.10 | + | 10939.8i | −0.211594 | + | 0.838970i | ||||
\(555\) | −21790.8 | + | 6610.15i | −1.66661 | + | 0.505559i | ||||
\(556\) | 4196.51 | + | 13.5733i | 0.320093 | + | 0.00103531i | ||||
\(557\) | 13677.6 | + | 11224.9i | 1.04047 | + | 0.853889i | 0.989460 | − | 0.144809i | \(-0.0462569\pi\) |
0.0510070 | + | 0.998698i | \(0.483757\pi\) | |||||||
\(558\) | −292.554 | + | 813.483i | −0.0221950 | + | 0.0617159i | ||||
\(559\) | 6397.12 | + | 15444.0i | 0.484024 | + | 1.16854i | ||||
\(560\) | −21749.2 | − | 2284.26i | −1.64120 | − | 0.172370i | ||||
\(561\) | 4037.36 | − | 9747.06i | 0.303846 | − | 0.733549i | ||||
\(562\) | 11574.7 | + | 10524.8i | 0.868769 | + | 0.789969i | ||||
\(563\) | −10952.8 | + | 1078.75i | −0.819901 | + | 0.0807532i | −0.499265 | − | 0.866449i | \(-0.666397\pi\) |
−0.320636 | + | 0.947202i | \(0.603897\pi\) | |||||||
\(564\) | −9847.12 | + | 6533.66i | −0.735174 | + | 0.487796i | ||||
\(565\) | −31920.3 | − | 17061.7i | −2.37681 | − | 1.27043i | ||||
\(566\) | 2430.04 | + | 16566.5i | 0.180463 | + | 1.23029i | ||||
\(567\) | −7974.50 | + | 11934.7i | −0.590648 | + | 0.883967i | ||||
\(568\) | −1897.94 | − | 3201.65i | −0.140204 | − | 0.236511i | ||||
\(569\) | 5442.50 | − | 3636.56i | 0.400987 | − | 0.267931i | −0.338683 | − | 0.940900i | \(-0.609982\pi\) |
0.739670 | + | 0.672970i | \(0.234982\pi\) | |||||||
\(570\) | −29793.7 | − | 1511.97i | −2.18933 | − | 0.111104i | ||||
\(571\) | 1141.69 | − | 11591.8i | 0.0836747 | − | 0.849563i | −0.858137 | − | 0.513421i | \(-0.828378\pi\) |
0.941811 | − | 0.336142i | \(-0.109122\pi\) | |||||||
\(572\) | −1044.25 | − | 10965.9i | −0.0763324 | − | 0.801587i | ||||
\(573\) | −1534.07 | + | 5057.14i | −0.111844 | + | 0.368700i | ||||
\(574\) | −6822.72 | − | 27425.9i | −0.496124 | − | 1.99432i | ||||
\(575\) | − | 13264.5i | − | 0.962034i | ||||||
\(576\) | 546.066 | + | 457.083i | 0.0395013 | + | 0.0330645i | ||||
\(577\) | 6315.71i | 0.455678i | 0.973699 | + | 0.227839i | \(0.0731661\pi\) | ||||
−0.973699 | + | 0.227839i | \(0.926834\pi\) | |||||||
\(578\) | 6522.10 | − | 1622.50i | 0.469349 | − | 0.116759i | ||||
\(579\) | 1575.59 | − | 5194.03i | 0.113090 | − | 0.372809i | ||||
\(580\) | 8743.11 | + | 7222.74i | 0.625928 | + | 0.517083i | ||||
\(581\) | −272.005 | + | 2761.72i | −0.0194229 | + | 0.197204i | ||||
\(582\) | −530.256 | + | 10448.8i | −0.0377660 | + | 0.744185i | ||||
\(583\) | 1068.28 | − | 713.801i | 0.0758895 | − | 0.0507077i | ||||
\(584\) | −8306.68 | − | 6223.35i | −0.588583 | − | 0.440966i | ||||
\(585\) | −421.932 | + | 631.466i | −0.0298201 | + | 0.0446289i | ||||
\(586\) | −18194.7 | + | 2668.87i | −1.28262 | + | 0.188140i | ||||
\(587\) | −14614.5 | − | 7811.59i | −1.02760 | − | 0.549266i | −0.130668 | − | 0.991426i | \(-0.541712\pi\) |
−0.896936 | + | 0.442160i | \(0.854212\pi\) | |||||||
\(588\) | 3585.39 | + | 725.242i | 0.251461 | + | 0.0508648i | ||||
\(589\) | 27768.5 | − | 2734.96i | 1.94259 | − | 0.191328i | ||||
\(590\) | −21753.7 | + | 23923.6i | −1.51794 | + | 1.66936i | ||||
\(591\) | −3075.35 | + | 7424.56i | −0.214049 | + | 0.516761i | ||||
\(592\) | −1606.70 | − | 17471.0i | −0.111546 | − | 1.21293i | ||||
\(593\) | −803.732 | − | 1940.38i | −0.0556582 | − | 0.134371i | 0.893604 | − | 0.448856i | \(-0.148168\pi\) |
−0.949263 | + | 0.314485i | \(0.898168\pi\) | |||||||
\(594\) | 15828.0 | + | 5692.25i | 1.09332 | + | 0.393191i | ||||
\(595\) | 13303.8 | + | 10918.1i | 0.916640 | + | 0.752267i | ||||
\(596\) | −5746.81 | + | 5709.75i | −0.394964 | + | 0.392417i | ||||
\(597\) | 9835.03 | − | 2983.42i | 0.674239 | − | 0.204528i | ||||
\(598\) | −8378.92 | − | 2113.22i | −0.572976 | − | 0.144508i | ||||
\(599\) | 26446.0 | − | 5260.44i | 1.80393 | − | 0.358824i | 0.825339 | − | 0.564637i | \(-0.190984\pi\) |
0.978591 | + | 0.205813i | \(0.0659840\pi\) | |||||||
\(600\) | −8571.07 | + | 14143.9i | −0.583187 | + | 0.962370i | ||||
\(601\) | −5013.70 | + | 25205.6i | −0.340288 | + | 1.71074i | 0.309730 | + | 0.950825i | \(0.399761\pi\) |
−0.650018 | + | 0.759919i | \(0.725239\pi\) | |||||||
\(602\) | 9922.79 | + | 27874.4i | 0.671799 | + | 1.88717i | ||||
\(603\) | 316.995 | − | 260.151i | 0.0214080 | − | 0.0175691i | ||||
\(604\) | 1275.93 | − | 1040.24i | 0.0859548 | − | 0.0700772i | ||||
\(605\) | 2958.11 | + | 5534.23i | 0.198784 | + | 0.371898i | ||||
\(606\) | 1515.89 | − | 10106.7i | 0.101615 | − | 0.677484i | ||||
\(607\) | 393.552 | − | 393.552i | 0.0263160 | − | 0.0263160i | −0.693826 | − | 0.720142i | \(-0.744076\pi\) |
0.720142 | + | 0.693826i | \(0.244076\pi\) | |||||||
\(608\) | 5764.97 | − | 22250.2i | 0.384540 | − | 1.48415i | ||||
\(609\) | −6433.24 | − | 6433.24i | −0.428059 | − | 0.428059i | ||||
\(610\) | −12112.2 | + | 8952.68i | −0.803948 | + | 0.594235i | ||||
\(611\) | 8563.83 | − | 4577.46i | 0.567030 | − | 0.303084i | ||||
\(612\) | −160.947 | − | 536.815i | −0.0106305 | − | 0.0354567i | ||||
\(613\) | −12414.9 | − | 15127.6i | −0.817996 | − | 0.996731i | −0.999910 | − | 0.0134165i | \(-0.995729\pi\) |
0.181914 | − | 0.983314i | \(-0.441771\pi\) | |||||||
\(614\) | 20476.8 | + | 9725.36i | 1.34589 | + | 0.639224i | ||||
\(615\) | −39104.6 | − | 7778.38i | −2.56398 | − | 0.510007i | ||||
\(616\) | −862.196 | − | 19478.2i | −0.0563943 | − | 1.27403i | ||||
\(617\) | 1162.33 | + | 5843.44i | 0.0758408 | + | 0.381277i | 1.00000 | 0.000730729i | \(-0.000232598\pi\) | |
−0.924159 | + | 0.382008i | \(0.875233\pi\) | |||||||
\(618\) | 790.988 | + | 1324.54i | 0.0514858 | + | 0.0862147i | ||||
\(619\) | −3113.70 | − | 10264.5i | −0.202181 | − | 0.666503i | −0.998129 | − | 0.0611377i | \(-0.980527\pi\) |
0.795948 | − | 0.605365i | \(-0.206973\pi\) | |||||||
\(620\) | 11129.1 | − | 26624.1i | 0.720896 | − | 1.72460i | ||||
\(621\) | 8370.86 | − | 10199.9i | 0.540920 | − | 0.659113i | ||||
\(622\) | 21043.5 | − | 9911.21i | 1.35654 | − | 0.638912i | ||||
\(623\) | 15938.8 | − | 6602.08i | 1.02500 | − | 0.424569i | ||||
\(624\) | 7568.90 | + | 7667.47i | 0.485575 | + | 0.491898i | ||||
\(625\) | −11843.0 | − | 4905.53i | −0.757952 | − | 0.313954i | ||||
\(626\) | 12511.4 | − | 594.367i | 0.798814 | − | 0.0379484i | ||||
\(627\) | −2606.95 | − | 26468.9i | −0.166047 | − | 1.68591i | ||||
\(628\) | −23584.7 | − | 15869.4i | −1.49862 | − | 1.00837i | ||||
\(629\) | −6508.75 | + | 12177.0i | −0.412593 | + | 0.771907i | ||||
\(630\) | −802.500 | + | 1078.40i | −0.0507498 | + | 0.0681974i | ||||
\(631\) | 25652.4 | + | 17140.4i | 1.61839 | + | 1.08137i | 0.936927 | + | 0.349524i | \(0.113657\pi\) |
0.681465 | + | 0.731851i | \(0.261343\pi\) | |||||||
\(632\) | −6523.49 | − | 3124.20i | −0.410586 | − | 0.196636i | ||||
\(633\) | 3382.60 | + | 5062.41i | 0.212395 | + | 0.317872i | ||||
\(634\) | 3875.55 | − | 3501.20i | 0.242773 | − | 0.219322i | ||||
\(635\) | −10835.0 | − | 1067.16i | −0.677126 | − | 0.0666911i | ||||
\(636\) | −368.669 | + | 1201.34i | −0.0229854 | + | 0.0748996i | ||||
\(637\) | −2876.34 | − | 872.528i | −0.178909 | − | 0.0542713i | ||||
\(638\) | −5212.02 | + | 8663.92i | −0.323426 | + | 0.537630i | ||||
\(639\) | −228.779 | −0.0141633 | ||||||||
\(640\) | −17430.9 | − | 16161.6i | −1.07659 | − | 0.998194i | ||||
\(641\) | −22323.4 | −1.37554 | −0.687769 | − | 0.725929i | \(-0.741410\pi\) | ||||
−0.687769 | + | 0.725929i | \(0.741410\pi\) | |||||||
\(642\) | 9215.19 | − | 15318.4i | 0.566502 | − | 0.941695i | ||||
\(643\) | −3773.31 | − | 1144.62i | −0.231423 | − | 0.0702013i | 0.172443 | − | 0.985019i | \(-0.444834\pi\) |
−0.403866 | + | 0.914818i | \(0.632334\pi\) | |||||||
\(644\) | −14621.9 | − | 4487.21i | −0.894696 | − | 0.274566i | ||||
\(645\) | 41540.4 | + | 4091.37i | 2.53589 | + | 0.249764i | ||||
\(646\) | −13422.4 | + | 12125.9i | −0.817490 | + | 0.738525i | ||||
\(647\) | −13518.5 | − | 20231.9i | −0.821435 | − | 1.22937i | −0.970635 | − | 0.240558i | \(-0.922670\pi\) |
0.149199 | − | 0.988807i | \(-0.452330\pi\) | |||||||
\(648\) | −14715.2 | + | 5184.79i | −0.892079 | + | 0.314317i | ||||
\(649\) | −23970.1 | − | 16016.3i | −1.44978 | − | 0.968715i | ||||
\(650\) | 8112.82 | − | 10902.0i | 0.489556 | − | 0.657863i | ||||
\(651\) | −10912.9 | + | 20416.5i | −0.657003 | + | 1.22917i | ||||
\(652\) | −14348.4 | + | 21324.3i | −0.861852 | + | 1.28086i | ||||
\(653\) | 1536.25 | + | 15597.9i | 0.0920648 | + | 0.934749i | 0.924641 | + | 0.380839i | \(0.124365\pi\) |
−0.832577 | + | 0.553910i | \(0.813135\pi\) | |||||||
\(654\) | 2265.12 | − | 107.607i | 0.135433 | − | 0.00643388i | ||||
\(655\) | −27280.3 | − | 11299.9i | −1.62737 | − | 0.674080i | ||||
\(656\) | 11939.2 | − | 28304.4i | 0.710588 | − | 1.68461i | ||||
\(657\) | −589.431 | + | 244.150i | −0.0350014 | + | 0.0144980i | ||||
\(658\) | 15549.0 | − | 7323.37i | 0.921220 | − | 0.433883i | ||||
\(659\) | −8837.53 | + | 10768.6i | −0.522399 | + | 0.636545i | −0.965648 | − | 0.259853i | \(-0.916326\pi\) |
0.443249 | + | 0.896399i | \(0.353826\pi\) | |||||||
\(660\) | −25378.0 | − | 10608.2i | −1.49672 | − | 0.625643i | ||||
\(661\) | 8129.94 | + | 26800.8i | 0.478393 | + | 1.57705i | 0.781379 | + | 0.624056i | \(0.214516\pi\) |
−0.302986 | + | 0.952995i | \(0.597984\pi\) | |||||||
\(662\) | −2130.06 | − | 3566.86i | −0.125056 | − | 0.209411i | ||||
\(663\) | −1654.15 | − | 8315.98i | −0.0968958 | − | 0.487128i | ||||
\(664\) | −2036.50 | + | 2225.14i | −0.119024 | + | 0.130049i | ||||
\(665\) | 42553.6 | + | 8464.43i | 2.48144 | + | 0.493589i | ||||
\(666\) | −974.148 | − | 462.667i | −0.0566779 | − | 0.0269189i | ||||
\(667\) | 5031.75 | + | 6131.20i | 0.292099 | + | 0.355924i | ||||
\(668\) | −12106.0 | + | 3629.60i | −0.701192 | + | 0.210230i | ||||
\(669\) | 13239.6 | − | 7076.71i | 0.765131 | − | 0.408971i | ||||
\(670\) | −11007.8 | + | 8136.37i | −0.634728 | + | 0.469158i | ||||
\(671\) | −9495.30 | − | 9495.30i | −0.546292 | − | 0.546292i | ||||
\(672\) | 12691.8 | + | 14232.8i | 0.728566 | + | 0.817029i | ||||
\(673\) | −1685.44 | + | 1685.44i | −0.0965361 | + | 0.0965361i | −0.753725 | − | 0.657189i | \(-0.771745\pi\) |
0.657189 | + | 0.753725i | \(0.271745\pi\) | |||||||
\(674\) | −1402.94 | + | 9353.58i | −0.0801766 | + | 0.534550i | ||||
\(675\) | 9781.81 | + | 18300.5i | 0.557781 | + | 1.04353i | ||||
\(676\) | 5512.03 | + | 6760.90i | 0.313611 | + | 0.384667i | ||||
\(677\) | 11550.1 | − | 9478.94i | 0.655697 | − | 0.538117i | −0.246662 | − | 0.969102i | \(-0.579334\pi\) |
0.902359 | + | 0.430985i | \(0.141834\pi\) | |||||||
\(678\) | 10584.6 | + | 29733.6i | 0.599559 | + | 1.68424i | ||||
\(679\) | 2968.52 | − | 14923.7i | 0.167778 | − | 0.843477i | ||||
\(680\) | 4457.31 | + | 18168.1i | 0.251368 | + | 1.02458i | ||||
\(681\) | 27225.0 | − | 5415.39i | 1.53196 | − | 0.304726i | ||||
\(682\) | 24946.1 | + | 6291.57i | 1.40064 | + | 0.353250i | ||||
\(683\) | −19807.5 | + | 6008.53i | −1.10968 | + | 0.336618i | −0.791351 | − | 0.611362i | \(-0.790622\pi\) |
−0.318330 | + | 0.947980i | \(0.603122\pi\) | |||||||
\(684\) | −995.785 | − | 1002.25i | −0.0556649 | − | 0.0560261i | ||||
\(685\) | −32230.4 | − | 26450.8i | −1.79775 | − | 1.47538i | ||||
\(686\) | 13998.0 | + | 5034.10i | 0.779074 | + | 0.280179i | ||||
\(687\) | −11744.9 | − | 28354.8i | −0.652252 | − | 1.57467i | ||||
\(688\) | −9534.67 | + | 30714.9i | −0.528351 | + | 1.70203i | ||||
\(689\) | 395.147 | − | 953.970i | 0.0218489 | − | 0.0527480i | ||||
\(690\) | −14516.4 | + | 15964.4i | −0.800913 | + | 0.880804i | ||||
\(691\) | 25491.9 | − | 2510.73i | 1.40341 | − | 0.138224i | 0.632201 | − | 0.774805i | \(-0.282152\pi\) |
0.771210 | + | 0.636581i | \(0.219652\pi\) | |||||||
\(692\) | 1398.32 | − | 6912.91i | 0.0768154 | − | 0.379753i | ||||
\(693\) | −1056.94 | − | 564.948i | −0.0579364 | − | 0.0309677i | ||||
\(694\) | −27236.4 | + | 3995.13i | −1.48974 | + | 0.218520i | ||||
\(695\) | −4783.68 | + | 7159.29i | −0.261087 | + | 0.390744i | ||||
\(696\) | −1403.56 | − | 9789.00i | −0.0764393 | − | 0.533119i | ||||
\(697\) | −20101.3 | + | 13431.2i | −1.09238 | + | 0.729906i | ||||
\(698\) | −1647.41 | + | 32462.5i | −0.0893344 | + | 1.76035i | ||||
\(699\) | −1712.88 | + | 17391.2i | −0.0926856 | + | 0.941052i | ||||
\(700\) | 15319.1 | − | 18543.8i | 0.827154 | − | 1.00127i | ||||
\(701\) | 7367.31 | − | 24286.8i | 0.396946 | − | 1.30856i | −0.499849 | − | 0.866112i | \(-0.666611\pi\) |
0.896796 | − | 0.442445i | \(-0.145889\pi\) | |||||||
\(702\) | 13118.4 | − | 3263.45i | 0.705301 | − | 0.175457i | ||||
\(703\) | 34808.4i | 1.86746i | ||||||||
\(704\) | 11944.5 | − | 17506.0i | 0.639452 | − | 0.937192i | ||||
\(705\) | − | 24247.1i | − | 1.29532i | ||||||
\(706\) | −5283.77 | − | 21239.7i | −0.281667 | − | 1.13224i | ||||
\(707\) | −4314.63 | + | 14223.4i | −0.229517 | + | 0.756615i | ||||
\(708\) | 28069.5 | − | 2672.96i | 1.48999 | − | 0.141887i | ||||
\(709\) | −62.5059 | + | 634.633i | −0.00331094 | + | 0.0336166i | −0.996698 | − | 0.0811949i | \(-0.974126\pi\) |
0.993387 | + | 0.114811i | \(0.0366264\pi\) | |||||||
\(710\) | 7626.80 | + | 387.045i | 0.403139 | + | 0.0204585i | ||||
\(711\) | −369.669 | + | 247.005i | −0.0194988 | + | 0.0130287i | ||||
\(712\) | 18168.0 | + | 4644.63i | 0.956282 | + | 0.244473i | ||||
\(713\) | 11212.6 | − | 16780.9i | 0.588942 | − | 0.881414i | ||||
\(714\) | −2178.05 | − | 14848.6i | −0.114162 | − | 0.778286i | ||||
\(715\) | 19932.8 | + | 10654.3i | 1.04258 | + | 0.557269i | ||||
\(716\) | 5640.04 | + | 8500.30i | 0.294383 | + | 0.443675i | ||||
\(717\) | −26709.5 | + | 2630.66i | −1.39119 | + | 0.137021i | ||||
\(718\) | −11978.4 | − | 10892.0i | −0.622607 | − | 0.566135i | ||||
\(719\) | 2945.21 | − | 7110.36i | 0.152764 | − | 0.368806i | −0.828907 | − | 0.559386i | \(-0.811037\pi\) |
0.981672 | + | 0.190580i | \(0.0610369\pi\) | |||||||
\(720\) | −1400.92 | + | 415.087i | −0.0725126 | + | 0.0214852i | ||||
\(721\) | −858.645 | − | 2072.95i | −0.0443517 | − | 0.107075i | ||||
\(722\) | −8866.84 | + | 24655.4i | −0.457050 | + | 1.27088i | ||||
\(723\) | −25805.9 | − | 21178.3i | −1.32743 | − | 1.08939i | ||||
\(724\) | 73.1932 | − | 22629.5i | 0.00375719 | − | 1.16163i | ||||
\(725\) | −11936.2 | + | 3620.81i | −0.611447 | + | 0.185480i | ||||
\(726\) | 1338.17 | − | 5305.87i | 0.0684081 | − | 0.271239i | ||||
\(727\) | 34689.4 | − | 6900.15i | 1.76968 | − | 0.352012i | 0.800686 | − | 0.599085i | \(-0.204469\pi\) |
0.968997 | + | 0.247073i | \(0.0794687\pi\) | |||||||
\(728\) | −9273.15 | − | 12631.0i | −0.472096 | − | 0.643045i | ||||
\(729\) | −4016.87 | + | 20194.2i | −0.204078 | + | 1.02597i | ||||
\(730\) | 20062.9 | − | 7142.05i | 1.01721 | − | 0.362108i | ||||
\(731\) | 19564.8 | − | 16056.4i | 0.989919 | − | 0.812406i | ||||
\(732\) | 13066.4 | + | 1329.62i | 0.659768 | + | 0.0671368i | ||||
\(733\) | 15805.8 | + | 29570.5i | 0.796452 | + | 1.49006i | 0.870155 | + | 0.492778i | \(0.164018\pi\) |
−0.0737029 | + | 0.997280i | \(0.523482\pi\) | |||||||
\(734\) | 871.756 | + | 130.754i | 0.0438380 | + | 0.00657523i | ||||
\(735\) | −5307.16 | + | 5307.16i | −0.266337 | + | 0.266337i | ||||
\(736\) | −9795.18 | − | 13432.9i | −0.490564 | − | 0.672751i | ||||
\(737\) | −8629.52 | − | 8629.52i | −0.431306 | − | 0.431306i | ||||
\(738\) | −1122.38 | − | 1518.48i | −0.0559828 | − | 0.0757398i | ||||
\(739\) | −4751.30 | + | 2539.62i | −0.236508 | + | 0.126416i | −0.585394 | − | 0.810749i | \(-0.699060\pi\) |
0.348886 | + | 0.937165i | \(0.386560\pi\) | |||||||
\(740\) | 31692.5 | + | 17072.0i | 1.57438 | + | 0.848080i | ||||
\(741\) | −13560.4 | − | 16523.4i | −0.672270 | − | 0.819164i | ||||
\(742\) | 784.084 | − | 1650.89i | 0.0387933 | − | 0.0816796i | ||||
\(743\) | −14475.9 | − | 2879.43i | −0.714762 | − | 0.142175i | −0.175703 | − | 0.984443i | \(-0.556220\pi\) |
−0.539059 | + | 0.842268i | \(0.681220\pi\) | |||||||
\(744\) | −22799.1 | + | 10648.1i | −1.12346 | + | 0.524704i | ||||
\(745\) | −3242.72 | − | 16302.3i | −0.159469 | − | 0.801704i | ||||
\(746\) | 4228.06 | − | 2524.92i | 0.207507 | − | 0.123919i | ||||
\(747\) | 53.8219 | + | 177.427i | 0.00263620 | + | 0.00869039i | ||||
\(748\) | −15429.3 | + | 6332.62i | −0.754211 | + | 0.309550i | ||||
\(749\) | −16493.9 | + | 20097.9i | −0.804638 | + | 0.980454i | ||||
\(750\) | −1945.07 | − | 4129.77i | −0.0946985 | − | 0.201064i | ||||
\(751\) | 18850.5 | − | 7808.11i | 0.915929 | − | 0.379390i | 0.125606 | − | 0.992080i | \(-0.459913\pi\) |
0.790323 | + | 0.612690i | \(0.209913\pi\) | |||||||
\(752\) | 18298.9 | + | 3763.10i | 0.887358 | + | 0.182481i | ||||
\(753\) | 1661.86 | + | 688.363i | 0.0804268 | + | 0.0333139i | ||||
\(754\) | 385.590 | + | 8116.68i | 0.0186238 | + | 0.392032i | ||||
\(755\) | 331.074 | + | 3361.46i | 0.0159590 | + | 0.162034i | ||||
\(756\) | 23482.2 | − | 4592.00i | 1.12968 | − | 0.220912i | ||||
\(757\) | −6214.16 | + | 11625.9i | −0.298359 | + | 0.558190i | −0.985774 | − | 0.168074i | \(-0.946245\pi\) |
0.687416 | + | 0.726264i | \(0.258745\pi\) | |||||||
\(758\) | −2761.22 | − | 2054.79i | −0.132311 | − | 0.0984608i | ||||
\(759\) | −15995.4 | − | 10687.8i | −0.764951 | − | 0.511124i | ||||
\(760\) | 31500.9 | + | 35096.6i | 1.50350 | + | 1.67511i | ||||
\(761\) | −1016.01 | − | 1520.57i | −0.0483975 | − | 0.0724319i | 0.806482 | − | 0.591259i | \(-0.201369\pi\) |
−0.854879 | + | 0.518827i | \(0.826369\pi\) | |||||||
\(762\) | 6364.35 | + | 7044.84i | 0.302567 | + | 0.334918i | ||||
\(763\) | −3282.20 | − | 323.269i | −0.155732 | − | 0.0153383i | ||||
\(764\) | 7380.58 | − | 3914.36i | 0.349503 | − | 0.185362i | ||||
\(765\) | 1100.36 | + | 333.790i | 0.0520046 | + | 0.0157754i | ||||
\(766\) | 8405.38 | + | 5056.49i | 0.396474 | + | 0.238510i | ||||
\(767\) | −23168.9 | −1.09072 | ||||||||
\(768\) | 1764.66 | + | 20652.8i | 0.0829122 | + | 0.970367i | ||||
\(769\) | −9076.36 | −0.425620 | −0.212810 | − | 0.977094i | \(-0.568262\pi\) | ||||
−0.212810 | + | 0.977094i | \(0.568262\pi\) | |||||||
\(770\) | 34279.5 | + | 20621.8i | 1.60435 | + | 0.965140i | ||||
\(771\) | −17939.6 | − | 5441.93i | −0.837976 | − | 0.254197i | ||||
\(772\) | −7580.35 | + | 4020.32i | −0.353398 | + | 0.187428i | ||||
\(773\) | −12062.7 | − | 1188.07i | −0.561275 | − | 0.0552807i | −0.186598 | − | 0.982436i | \(-0.559746\pi\) |
−0.374676 | + | 0.927156i | \(0.622246\pi\) | |||||||
\(774\) | 1325.20 | + | 1466.90i | 0.0615419 | + | 0.0681221i | ||||
\(775\) | 17633.1 | + | 26389.7i | 0.817288 | + | 1.22316i | ||||
\(776\) | 12308.5 | − | 11047.5i | 0.569395 | − | 0.511060i | ||||
\(777\) | −24012.3 | − | 16044.5i | −1.10867 | − | 0.740789i | ||||
\(778\) | −21739.0 | − | 16177.3i | −1.00177 | − | 0.745480i | ||||
\(779\) | −28730.1 | + | 53750.2i | −1.32139 | + | 2.47214i | ||||
\(780\) | −21695.0 | + | 4242.50i | −0.995904 | + | 0.194751i | ||||
\(781\) | 667.347 | + | 6775.69i | 0.0305756 | + | 0.310440i | ||||
\(782\) | 620.844 | + | 13068.8i | 0.0283905 | + | 0.597620i | ||||
\(783\) | −11463.5 | − | 4748.32i | −0.523207 | − | 0.216719i | ||||
\(784\) | −3181.57 | − | 4828.89i | −0.144933 | − | 0.219975i | ||||
\(785\) | 53885.8 | − | 22320.2i | 2.45002 | − | 1.01483i | ||||
\(786\) | 10971.3 | + | 23294.2i | 0.497879 | + | 1.05710i | ||||
\(787\) | −9098.03 | + | 11086.0i | −0.412083 | + | 0.502125i | −0.937145 | − | 0.348939i | \(-0.886542\pi\) |
0.525062 | + | 0.851064i | \(0.324042\pi\) | |||||||
\(788\) | 11752.8 | − | 4823.70i | 0.531316 | − | 0.218068i | ||||
\(789\) | 556.517 | + | 1834.59i | 0.0251109 | + | 0.0827796i | ||||
\(790\) | 12741.5 | − | 7609.01i | 0.573828 | − | 0.342679i | ||||
\(791\) | −8955.13 | − | 45020.5i | −0.402538 | − | 2.02370i | ||||
\(792\) | −551.243 | − | 1180.29i | −0.0247318 | − | 0.0529542i | ||||
\(793\) | −10584.7 | − | 2105.43i | −0.473990 | − | 0.0942825i | ||||
\(794\) | −12796.3 | + | 26942.6i | −0.571943 | + | 1.20423i | ||||
\(795\) | −1635.69 | − | 1993.09i | −0.0729709 | − | 0.0889153i | ||||
\(796\) | −14304.1 | − | 7705.26i | −0.636927 | − | 0.343098i | ||||
\(797\) | 7767.63 | − | 4151.88i | 0.345224 | − | 0.184526i | −0.289668 | − | 0.957127i | \(-0.593545\pi\) |
0.634892 | + | 0.772601i | \(0.281045\pi\) | |||||||
\(798\) | −22488.5 | − | 30424.9i | −0.997599 | − | 1.34966i | ||||
\(799\) | −10396.1 | − | 10396.1i | −0.460308 | − | 0.460308i | ||||
\(800\) | 25411.6 | − | 6147.34i | 1.12304 | − | 0.271676i | ||||
\(801\) | 815.054 | − | 815.054i | 0.0359532 | − | 0.0359532i | ||||
\(802\) | 29556.6 | + | 4433.17i | 1.30135 | + | 0.195188i | ||||
\(803\) | 8950.32 | + | 16744.9i | 0.393337 | + | 0.735882i | ||||
\(804\) | 11875.0 | + | 1208.38i | 0.520896 | + | 0.0530055i | ||||
\(805\) | 24258.6 | − | 19908.5i | 1.06212 | − | 0.871657i | ||||
\(806\) | 19479.0 | − | 6934.18i | 0.851264 | − | 0.303035i | ||||
\(807\) | 7706.11 | − | 38741.2i | 0.336144 | − | 1.68991i | ||||
\(808\) | −13023.1 | + | 9561.00i | −0.567019 | + | 0.416281i | ||||
\(809\) | 31508.2 | − | 6267.36i | 1.36931 | − | 0.272372i | 0.544962 | − | 0.838461i | \(-0.316544\pi\) |
0.824344 | + | 0.566089i | \(0.191544\pi\) | |||||||
\(810\) | 7828.44 | − | 31039.8i | 0.339584 | − | 1.34645i | ||||
\(811\) | 9086.40 | − | 2756.33i | 0.393424 | − | 0.119344i | −0.0873735 | − | 0.996176i | \(-0.527847\pi\) |
0.480797 | + | 0.876832i | \(0.340347\pi\) | |||||||
\(812\) | −46.5190 | + | 14382.5i | −0.00201047 | + | 0.621585i | ||||
\(813\) | −2501.63 | − | 2053.03i | −0.107916 | − | 0.0885647i | ||||
\(814\) | −10861.1 | + | 30200.7i | −0.467669 | + | 1.30041i | ||||
\(815\) | −20181.0 | − | 48721.2i | −0.867373 | − | 2.09402i | ||||
\(816\) | 7782.58 | − | 14336.3i | 0.333878 | − | 0.615039i | ||||
\(817\) | 24417.6 | − | 58949.3i | 1.04561 | − | 2.52433i | ||||
\(818\) | −10803.1 | − | 9823.25i | −0.461763 | − | 0.419880i | ||||
\(819\) | −958.532 | + | 94.4072i | −0.0408960 | + | 0.00402791i | ||||
\(820\) | 34847.8 | + | 52520.3i | 1.48407 | + | 2.23669i | ||||
\(821\) | 23320.1 | + | 12464.8i | 0.991322 | + | 0.529873i | 0.885563 | − | 0.464519i | \(-0.153773\pi\) |
0.105759 | + | 0.994392i | \(0.466273\pi\) | |||||||
\(822\) | 5276.66 | + | 35973.1i | 0.223898 | + | 1.52640i | ||||
\(823\) | −19052.2 | + | 28513.6i | −0.806946 | + | 1.20768i | 0.168120 | + | 0.985767i | \(0.446230\pi\) |
−0.975066 | + | 0.221914i | \(0.928770\pi\) | |||||||
\(824\) | 604.065 | − | 2362.87i | 0.0255383 | − | 0.0998960i | ||||
\(825\) | 25154.6 | − | 16807.8i | 1.06154 | − | 0.709298i | ||||
\(826\) | −40955.9 | − | 2078.43i | −1.72523 | − | 0.0875520i | ||||
\(827\) | −222.475 | + | 2258.83i | −0.00935455 | + | 0.0949784i | −0.998728 | − | 0.0504163i | \(-0.983945\pi\) |
0.989374 | + | 0.145395i | \(0.0464452\pi\) | |||||||
\(828\) | −1017.30 | + | 96.8738i | −0.0426975 | + | 0.00406594i | ||||
\(829\) | −8363.09 | + | 27569.4i | −0.350377 | + | 1.15504i | 0.587837 | + | 0.808980i | \(0.299980\pi\) |
−0.938213 | + | 0.346057i | \(0.887520\pi\) | |||||||
\(830\) | −1494.09 | − | 6005.95i | −0.0624828 | − | 0.251168i | ||||
\(831\) | 20186.2i | 0.842661i | ||||||||
\(832\) | 165.263 | − | 17031.3i | 0.00688639 | − | 0.709680i | ||||
\(833\) | 4550.94i | 0.189293i | ||||||||
\(834\) | 7286.25 | − | 1812.59i | 0.302521 | − | 0.0752578i | ||||
\(835\) | 7527.48 | − | 24814.8i | 0.311975 | − | 1.02844i | ||||
\(836\) | −26778.6 | + | 32415.5i | −1.10784 | + | 1.34104i | ||||
\(837\) | −3094.64 | + | 31420.4i | −0.127797 | + | 1.29755i | ||||
\(838\) | 2195.09 | − | 43254.7i | 0.0904871 | − | 1.78306i | ||||
\(839\) | −6475.35 | + | 4326.69i | −0.266453 | + | 0.178038i | −0.681619 | − | 0.731708i | \(-0.738724\pi\) |
0.415166 | + | 0.909746i | \(0.363724\pi\) | |||||||
\(840\) | −38731.0 | + | 5553.30i | −1.59089 | + | 0.228103i | ||||
\(841\) | −9406.10 | + | 14077.2i | −0.385670 | + | 0.577196i | ||||
\(842\) | 35620.8 | − | 5224.99i | 1.45793 | − | 0.213854i | ||||
\(843\) | 24685.3 | + | 13194.6i | 1.00855 | + | 0.539082i | ||||
\(844\) | 1908.28 | − | 9434.00i | 0.0778267 | − | 0.384753i | ||||
\(845\) | −17811.7 | + | 1754.30i | −0.725139 | + | 0.0714200i | ||||
\(846\) | 772.547 | − | 849.609i | 0.0313957 | − | 0.0345274i | ||||
\(847\) | −3045.56 | + | 7352.63i | −0.123550 | + | 0.298275i | ||||
\(848\) | 1758.01 | − | 925.104i | 0.0711914 | − | 0.0374625i | ||||
\(849\) | 11464.3 | + | 27677.2i | 0.463431 | + | 1.11882i | ||||
\(850\) | −19361.3 | − | 6962.92i | −0.781278 | − | 0.280972i | ||||
\(851\) | 19462.0 | + | 15972.1i | 0.783960 | + | 0.643379i | ||||
\(852\) | −4693.50 | − | 4723.96i | −0.188728 | − | 0.189953i | ||||
\(853\) | 43933.9 | − | 13327.2i | 1.76350 | − | 0.534953i | 0.768961 | − | 0.639295i | \(-0.220774\pi\) |
0.994541 | + | 0.104343i | \(0.0332738\pi\) | |||||||
\(854\) | −18521.8 | − | 4671.32i | −0.742159 | − | 0.187177i | ||||
\(855\) | 2843.13 | − | 565.533i | 0.113723 | − | 0.0226208i | ||||
\(856\) | −27446.4 | + | 6733.62i | −1.09591 | + | 0.268867i | ||||
\(857\) | −1396.14 | + | 7018.88i | −0.0556491 | + | 0.279767i | −0.998583 | − | 0.0532124i | \(-0.983054\pi\) |
0.942934 | + | 0.332979i | \(0.108054\pi\) | |||||||
\(858\) | −6609.63 | − | 18567.3i | −0.262994 | − | 0.738785i | ||||
\(859\) | −27699.0 | + | 22732.0i | −1.10021 | + | 0.902917i | −0.995794 | − | 0.0916170i | \(-0.970796\pi\) |
−0.104413 | + | 0.994534i | \(0.533296\pi\) | |||||||
\(860\) | −41696.6 | − | 51143.9i | −1.65330 | − | 2.02790i | ||||
\(861\) | −23836.3 | − | 44594.7i | −0.943485 | − | 1.76514i | ||||
\(862\) | 1970.51 | − | 13137.7i | 0.0778605 | − | 0.519107i | ||||
\(863\) | −8261.86 | + | 8261.86i | −0.325883 | + | 0.325883i | −0.851019 | − | 0.525136i | \(-0.824015\pi\) |
0.525136 | + | 0.851019i | \(0.324015\pi\) | |||||||
\(864\) | 23419.9 | + | 11309.4i | 0.922179 | + | 0.445318i | ||||
\(865\) | 10232.6 | + | 10232.6i | 0.402219 | + | 0.402219i | ||||
\(866\) | −5215.13 | + | 3854.75i | −0.204639 | + | 0.151258i | ||||
\(867\) | 10604.9 | − | 5668.46i | 0.415413 | − | 0.222043i | ||||
\(868\) | 35055.3 | − | 10510.2i | 1.37080 | − | 0.410990i | ||||
\(869\) | 8393.82 | + | 10227.9i | 0.327665 | + | 0.399261i | ||||
\(870\) | 18328.2 | + | 8704.90i | 0.714236 | + | 0.339223i | ||||
\(871\) | −9619.60 | − | 1913.46i | −0.374222 | − | 0.0744374i | ||||
\(872\) | −2644.51 | − | 2420.31i | −0.102700 | − | 0.0939933i | ||||
\(873\) | −198.335 | − | 997.098i | −0.00768915 | − | 0.0386560i | ||||
\(874\) | 16911.2 | + | 28318.3i | 0.654495 | + | 1.09598i | ||||
\(875\) | 1927.24 | + | 6353.25i | 0.0744600 | + | 0.245462i | ||||
\(876\) | −17133.8 | − | 7162.06i | −0.660842 | − | 0.276237i | ||||
\(877\) | −769.763 | + | 937.959i | −0.0296386 | + | 0.0361147i | −0.787619 | − | 0.616163i | \(-0.788686\pi\) |
0.757980 | + | 0.652278i | \(0.226186\pi\) | |||||||
\(878\) | −2003.90 | + | 943.811i | −0.0770254 | + | 0.0362780i | ||||
\(879\) | −30397.3 | + | 12591.0i | −1.16641 | + | 0.483144i | ||||
\(880\) | 16380.0 | + | 40279.9i | 0.627466 | + | 1.54299i | ||||
\(881\) | 7522.07 | + | 3115.74i | 0.287656 | + | 0.119151i | 0.521846 | − | 0.853040i | \(-0.325244\pi\) |
−0.234190 | + | 0.972191i | \(0.575244\pi\) | |||||||
\(882\) | −355.055 | + | 16.8672i | −0.0135548 | + | 0.000643931i | ||||
\(883\) | −4665.61 | − | 47370.8i | −0.177815 | − | 1.80538i | −0.507883 | − | 0.861426i | \(-0.669572\pi\) |
0.330068 | − | 0.943957i | \(-0.392928\pi\) | |||||||
\(884\) | −7482.83 | + | 11120.8i | −0.284700 | + | 0.423115i | ||||
\(885\) | −27271.8 | + | 51022.0i | −1.03586 | + | 1.93795i | ||||
\(886\) | −9685.35 | + | 13015.1i | −0.367253 | + | 0.493513i | ||||
\(887\) | 26853.5 | + | 17942.9i | 1.01652 | + | 0.679217i | 0.947947 | − | 0.318429i | \(-0.103155\pi\) |
0.0685731 | + | 0.997646i | \(0.478155\pi\) | |||||||
\(888\) | −10431.7 | − | 29606.6i | −0.394216 | − | 1.11884i | ||||
\(889\) | −7671.23 | − | 11480.8i | −0.289409 | − | 0.433132i | ||||
\(890\) | −28550.4 | + | 25792.6i | −1.07529 | + | 0.971425i | ||||
\(891\) | 28402.9 | + | 2797.44i | 1.06794 | + | 0.105183i | ||||
\(892\) | −22687.9 | − | 6962.50i | −0.851621 | − | 0.261347i | ||||
\(893\) | −35468.4 | − | 10759.2i | −1.32912 | − | 0.403185i | ||||
\(894\) | −7471.60 | + | 12420.0i | −0.279516 | + | 0.464639i | ||||
\(895\) | −20930.8 | −0.781719 | ||||||||
\(896\) | 1819.98 | − | 30091.5i | 0.0678585 | − | 1.12197i | ||||
\(897\) | −15460.8 | −0.575497 | ||||||||
\(898\) | 10678.8 | − | 17751.3i | 0.396833 | − | 0.659654i | ||||
\(899\) | −18161.1 | − | 5509.10i | −0.673755 | − | 0.204381i | ||||
\(900\) | 471.473 | − | 1536.33i | 0.0174620 | − | 0.0569012i | ||||
\(901\) | −1555.85 | − | 153.238i | −0.0575283 | − | 0.00566605i | ||||
\(902\) | −41698.5 | + | 37670.6i | −1.53925 | + | 1.39057i | ||||
\(903\) | 29410.7 | + | 44016.2i | 1.08386 | + | 1.62211i | ||||
\(904\) | 21551.0 | − | 44999.7i | 0.792895 | − | 1.65560i | ||||
\(905\) | 38606.2 | + | 25795.8i | 1.41802 | + | 0.947493i | ||||
\(906\) | 1758.39 | − | 2362.92i | 0.0644798 | − | 0.0866477i | ||||
\(907\) | 13209.7 | − | 24713.5i | 0.483594 | − | 0.904741i | −0.515267 | − | 0.857030i | \(-0.672307\pi\) |
0.998861 | − | 0.0477111i | \(-0.0151927\pi\) | |||||||
\(908\) | −36407.5 | − | 24497.4i | −1.33064 | − | 0.895347i | ||||
\(909\) | 97.3377 | + | 988.287i | 0.00355169 | + | 0.0360609i | ||||
\(910\) | 32114.3 | − | 1525.62i | 1.16987 | − | 0.0555756i | ||||
\(911\) | −6378.07 | − | 2641.88i | −0.231959 | − | 0.0960807i | 0.263676 | − | 0.964611i | \(-0.415065\pi\) |
−0.495636 | + | 0.868530i | \(0.665065\pi\) | |||||||
\(912\) | 266.021 | − | 41123.1i | 0.00965881 | − | 1.49311i | ||||
\(913\) | 5097.82 | − | 2111.59i | 0.184790 | − | 0.0765426i | ||||
\(914\) | 22524.1 | − | 10608.6i | 0.815134 | − | 0.383918i | ||||
\(915\) | −17095.7 | + | 20831.1i | −0.617667 | + | 0.752629i | ||||
\(916\) | −18711.9 | + | 44764.5i | −0.674956 | + | 1.61470i | ||||
\(917\) | −10870.7 | − | 35835.9i | −0.391475 | − | 1.29052i | ||||
\(918\) | −10494.0 | − | 17572.6i | −0.377291 | − | 0.631788i | ||||
\(919\) | 7142.26 | + | 35906.6i | 0.256367 | + | 1.28884i | 0.867548 | + | 0.497354i | \(0.165695\pi\) |
−0.611181 | + | 0.791491i | \(0.709305\pi\) | |||||||
\(920\) | 34077.5 | − | 1508.43i | 1.22120 | − | 0.0540560i | ||||
\(921\) | 39779.4 | + | 7912.62i | 1.42321 | + | 0.283094i | ||||
\(922\) | 17443.9 | + | 8284.91i | 0.623086 | + | 0.295932i | ||||
\(923\) | 3471.28 | + | 4229.77i | 0.123791 | + | 0.150839i | ||||
\(924\) | −10018.3 | − | 33414.5i | −0.356685 | − | 1.18967i | ||||
\(925\) | −34918.3 | + | 18664.2i | −1.24120 | + | 0.663434i | ||||
\(926\) | −10949.8 | + | 8093.48i | −0.388587 | + | 0.287223i | ||||
\(927\) | −106.003 | − | 106.003i | −0.00375577 | − | 0.00375577i | ||||
\(928\) | −9413.95 | + | 12481.0i | −0.333004 | + | 0.441498i | ||||
\(929\) | 36687.8 | − | 36687.8i | 1.29568 | − | 1.29568i | 0.364461 | − | 0.931219i | \(-0.381253\pi\) |
0.931219 | − | 0.364461i | \(-0.118747\pi\) | |||||||
\(930\) | 7658.19 | − | 51058.3i | 0.270024 | − | 1.80029i | ||||
\(931\) | 5408.30 | + | 10118.2i | 0.190387 | + | 0.356188i | ||||
\(932\) | 21411.8 | − | 17456.6i | 0.752539 | − | 0.613530i | ||||
\(933\) | 32170.7 | − | 26401.8i | 1.12885 | − | 0.926427i | ||||
\(934\) | −15071.7 | − | 42338.4i | −0.528010 | − | 1.48325i | ||||
\(935\) | 6676.04 | − | 33562.7i | 0.233508 | − | 1.17392i | ||||
\(936\) | −895.356 | − | 542.577i | −0.0312667 | − | 0.0189473i | ||||
\(937\) | −4023.47 | + | 800.318i | −0.140279 | + | 0.0279032i | −0.264730 | − | 0.964323i | \(-0.585283\pi\) |
0.124452 | + | 0.992226i | \(0.460283\pi\) | |||||||
\(938\) | −16833.0 | − | 4245.39i | −0.585945 | − | 0.147779i | ||||
\(939\) | 21445.4 | − | 6505.39i | 0.745308 | − | 0.226087i | ||||
\(940\) | −27191.8 | + | 27016.5i | −0.943509 | + | 0.937425i | ||||
\(941\) | −18393.7 | − | 15095.3i | −0.637214 | − | 0.522948i | 0.259395 | − | 0.965771i | \(-0.416477\pi\) |
−0.896609 | + | 0.442823i | \(0.853977\pi\) | |||||||
\(942\) | −47859.4 | − | 17211.7i | −1.65535 | − | 0.595317i | ||||
\(943\) | 16869.7 | + | 40727.2i | 0.582560 | + | 1.40643i | ||||
\(944\) | −34273.0 | − | 28500.1i | −1.18166 | − | 0.982627i | ||||
\(945\) | −18787.1 | + | 45356.2i | −0.646715 | + | 1.56131i | ||||
\(946\) | 39579.1 | − | 43527.2i | 1.36028 | − | 1.49597i | ||||
\(947\) | 7163.70 | − | 705.563i | 0.245817 | − | 0.0242109i | 0.0256419 | − | 0.999671i | \(-0.491837\pi\) |
0.220175 | + | 0.975460i | \(0.429337\pi\) | |||||||
\(948\) | −12684.2 | − | 2565.73i | −0.434562 | − | 0.0879018i | ||||
\(949\) | 13457.5 | + | 7193.16i | 0.460324 | + | 0.246048i | ||||
\(950\) | −51321.1 | + | 7527.96i | −1.75271 | + | 0.257094i | ||||
\(951\) | 5191.59 | − | 7769.76i | 0.177023 | − | 0.264933i | ||||
\(952\) | −14225.1 | + | 18987.1i | −0.484284 | + | 0.646403i | ||||
\(953\) | 9123.36 | − | 6096.03i | 0.310110 | − | 0.207209i | −0.390770 | − | 0.920488i | \(-0.627791\pi\) |
0.700879 | + | 0.713280i | \(0.252791\pi\) | |||||||
\(954\) | 6.18885 | − | 121.952i | 0.000210033 | − | 0.00413874i | ||||
\(955\) | −1680.15 | + | 17058.8i | −0.0569302 | + | 0.578022i | ||||
\(956\) | 32710.3 | + | 27022.1i | 1.10662 | + | 0.914183i | ||||
\(957\) | −5251.25 | + | 17311.1i | −0.177376 | + | 0.584731i | ||||
\(958\) | 30280.8 | − | 7532.92i | 1.02122 | − | 0.254048i | ||||
\(959\) | − | 52878.6i | − | 1.78054i | ||||||
\(960\) | −37311.4 | − | 20411.3i | −1.25440 | − | 0.686219i | ||||
\(961\) | 18499.8i | 0.620986i | ||||||||
\(962\) | 6226.84 | + | 25030.6i | 0.208692 | + | 0.838897i | ||||
\(963\) | −504.253 | + | 1662.30i | −0.0168737 | + | 0.0556250i | ||||
\(964\) | 5002.92 | + | 52537.0i | 0.167151 | + | 1.75529i | ||||
\(965\) | 1725.63 | − | 17520.6i | 0.0575646 | − | 0.584463i | ||||
\(966\) | −27330.2 | − | 1386.95i | −0.910283 | − | 0.0461951i | ||||
\(967\) | 25807.8 | − | 17244.3i | 0.858247 | − | 0.573462i | −0.0467376 | − | 0.998907i | \(-0.514882\pi\) |
0.904984 | + | 0.425445i | \(0.139882\pi\) | |||||||
\(968\) | −7441.25 | + | 4411.18i | −0.247077 | + | 0.146468i | ||||
\(969\) | −17980.3 | + | 26909.5i | −0.596090 | + | 0.892112i | ||||
\(970\) | 4925.02 | + | 33575.8i | 0.163024 | + | 1.11140i | ||||
\(971\) | 15591.5 | + | 8333.81i | 0.515297 | + | 0.275432i | 0.708480 | − | 0.705731i | \(-0.249381\pi\) |
−0.193183 | + | 0.981163i | \(0.561881\pi\) | |||||||
\(972\) | 2598.90 | − | 1724.40i | 0.0857611 | − | 0.0569034i | ||||
\(973\) | −10867.4 | + | 1070.35i | −0.358061 | + | 0.0352660i | ||||
\(974\) | −7478.96 | − | 6800.60i | −0.246038 | − | 0.223722i | ||||
\(975\) | 9304.47 | − | 22463.0i | 0.305622 | − | 0.737837i | ||||
\(976\) | −13067.7 | − | 16134.8i | −0.428573 | − | 0.529161i | ||||
\(977\) | −7091.14 | − | 17119.5i | −0.232207 | − | 0.560596i | 0.764230 | − | 0.644944i | \(-0.223119\pi\) |
−0.996436 | + | 0.0843478i | \(0.973119\pi\) | |||||||
\(978\) | −15562.1 | + | 43272.4i | −0.508815 | + | 1.41483i | ||||
\(979\) | −26516.8 | − | 21761.8i | −0.865659 | − | 0.710428i | ||||
\(980\) | 11865.0 | + | 38.3763i | 0.386748 | + | 0.00125090i | ||||
\(981\) | −210.866 | + | 63.9655i | −0.00686283 | + | 0.00208182i | ||||
\(982\) | −353.286 | + | 1400.78i | −0.0114805 | + | 0.0455201i | ||||
\(983\) | −9231.40 | + | 1836.24i | −0.299528 | + | 0.0595798i | −0.342566 | − | 0.939494i | \(-0.611296\pi\) |
0.0430385 | + | 0.999073i | \(0.486296\pi\) | |||||||
\(984\) | 8328.33 | − | 54327.7i | 0.269815 | − | 1.76007i | ||||
\(985\) | −5085.30 | + | 25565.5i | −0.164498 | + | 0.826990i | ||||
\(986\) | 11590.6 | − | 4126.04i | 0.374360 | − | 0.133266i | ||||
\(987\) | 23770.9 | − | 19508.3i | 0.766601 | − | 0.629133i | ||||
\(988\) | −3420.88 | + | 33617.7i | −0.110155 | + | 1.08251i | ||||
\(989\) | −21755.5 | − | 40701.7i | −0.699479 | − | 1.30863i | ||||
\(990\) | 2643.24 | + | 396.457i | 0.0848561 | + | 0.0127275i | ||||
\(991\) | −10743.7 | + | 10743.7i | −0.344385 | + | 0.344385i | −0.858013 | − | 0.513628i | \(-0.828301\pi\) |
0.513628 | + | 0.858013i | \(0.328301\pi\) | |||||||
\(992\) | 37344.4 | + | 13703.7i | 1.19525 | + | 0.438600i | ||||
\(993\) | −5255.98 | − | 5255.98i | −0.167969 | − | 0.167969i | ||||
\(994\) | 5756.77 | + | 7788.40i | 0.183696 | + | 0.248524i | ||||
\(995\) | 29399.9 | − | 15714.6i | 0.936723 | − | 0.500689i | ||||
\(996\) | −2559.44 | + | 4751.34i | −0.0814246 | + | 0.151157i | ||||
\(997\) | 17684.8 | + | 21549.0i | 0.561770 | + | 0.684519i | 0.973997 | − | 0.226563i | \(-0.0727488\pi\) |
−0.412227 | + | 0.911081i | \(0.635249\pi\) | |||||||
\(998\) | 3142.91 | − | 6617.42i | 0.0996865 | − | 0.209890i | ||||
\(999\) | −38629.3 | − | 7683.85i | −1.22340 | − | 0.243350i |
(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 | 128.4.k.a.5.9 | ✓ | 752 | |
128.77 | even | 32 | inner | 128.4.k.a.77.9 | yes | 752 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.4.k.a.5.9 | ✓ | 752 | 1.1 | even | 1 | trivial | |
128.4.k.a.77.9 | yes | 752 | 128.77 | even | 32 | inner |