Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,4,Mod(4,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.e (of order \(10\), degree \(4\), 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: | \(1.47504775014\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.1 | ||
Character | \(\chi\) | \(=\) | 25.14 |
Dual form | 25.4.e.a.9.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.42187 | − | 3.33341i | −0.856259 | − | 1.17854i | −0.982449 | − | 0.186534i | \(-0.940275\pi\) |
0.126189 | − | 0.992006i | \(-0.459725\pi\) | |||||||
\(3\) | −3.56321 | − | 1.15776i | −0.685741 | − | 0.222811i | −0.0546337 | − | 0.998506i | \(-0.517399\pi\) |
−0.631107 | + | 0.775696i | \(0.717399\pi\) | |||||||
\(4\) | −2.77407 | + | 8.53772i | −0.346759 | + | 1.06721i | ||||
\(5\) | −8.01402 | + | 7.79587i | −0.716795 | + | 0.697284i | ||||
\(6\) | 4.77034 | + | 14.6816i | 0.324581 | + | 0.998956i | ||||
\(7\) | − | 26.4674i | − | 1.42910i | −0.699583 | − | 0.714551i | \(-0.746631\pi\) | ||
0.699583 | − | 0.714551i | \(-0.253369\pi\) | |||||||
\(8\) | 3.82887 | − | 1.24408i | 0.169214 | − | 0.0549809i | ||||
\(9\) | −10.4874 | − | 7.61952i | −0.388421 | − | 0.282205i | ||||
\(10\) | 45.3957 | + | 7.83348i | 1.43554 | + | 0.247716i | ||||
\(11\) | 15.6737 | − | 11.3876i | 0.429618 | − | 0.312136i | −0.351878 | − | 0.936046i | \(-0.614457\pi\) |
0.781496 | + | 0.623910i | \(0.214457\pi\) | |||||||
\(12\) | 19.7692 | − | 27.2100i | 0.475574 | − | 0.654571i | ||||
\(13\) | 26.2024 | − | 36.0645i | 0.559018 | − | 0.769422i | −0.432184 | − | 0.901786i | \(-0.642257\pi\) |
0.991201 | + | 0.132364i | \(0.0422568\pi\) | |||||||
\(14\) | −88.2266 | + | 64.1004i | −1.68425 | + | 1.22368i | ||||
\(15\) | 37.5814 | − | 18.5000i | 0.646898 | − | 0.318446i | ||||
\(16\) | 44.6809 | + | 32.4626i | 0.698139 | + | 0.507228i | ||||
\(17\) | −70.5478 | + | 22.9224i | −1.00649 | + | 0.327029i | −0.765457 | − | 0.643488i | \(-0.777487\pi\) |
−0.241035 | + | 0.970516i | \(0.577487\pi\) | |||||||
\(18\) | 53.4122i | 0.699410i | ||||||||
\(19\) | −6.14742 | − | 18.9198i | −0.0742271 | − | 0.228447i | 0.907059 | − | 0.421004i | \(-0.138322\pi\) |
−0.981286 | + | 0.192556i | \(0.938322\pi\) | |||||||
\(20\) | −44.3274 | − | 90.0477i | −0.495596 | − | 1.00676i | ||||
\(21\) | −30.6428 | + | 94.3088i | −0.318419 | + | 0.979994i | ||||
\(22\) | −75.9192 | − | 24.6676i | −0.735729 | − | 0.239053i | ||||
\(23\) | 36.2441 | + | 49.8857i | 0.328583 | + | 0.452256i | 0.941063 | − | 0.338230i | \(-0.109828\pi\) |
−0.612480 | + | 0.790486i | \(0.709828\pi\) | |||||||
\(24\) | −15.0834 | −0.128287 | ||||||||
\(25\) | 3.44892 | − | 124.952i | 0.0275913 | − | 0.999619i | ||||
\(26\) | −183.676 | −1.38546 | ||||||||
\(27\) | 88.0062 | + | 121.130i | 0.627289 | + | 0.863389i | ||||
\(28\) | 225.971 | + | 73.4224i | 1.52516 | + | 0.495554i | ||||
\(29\) | 88.7735 | − | 273.217i | 0.568442 | − | 1.74949i | −0.0890523 | − | 0.996027i | \(-0.528384\pi\) |
0.657495 | − | 0.753459i | \(-0.271616\pi\) | |||||||
\(30\) | −152.685 | − | 80.4696i | −0.929214 | − | 0.489723i | ||||
\(31\) | 25.1347 | + | 77.3567i | 0.145624 | + | 0.448183i | 0.997091 | − | 0.0762249i | \(-0.0242867\pi\) |
−0.851467 | + | 0.524408i | \(0.824287\pi\) | |||||||
\(32\) | − | 259.767i | − | 1.43502i | ||||||
\(33\) | −69.0328 | + | 22.4301i | −0.364154 | + | 0.118321i | ||||
\(34\) | 247.267 | + | 179.650i | 1.24723 | + | 0.906169i | ||||
\(35\) | 206.336 | + | 212.110i | 0.996490 | + | 1.02437i | ||||
\(36\) | 94.1461 | − | 68.4011i | 0.435861 | − | 0.316672i | ||||
\(37\) | −230.938 | + | 317.858i | −1.02611 | + | 1.41231i | −0.118273 | + | 0.992981i | \(0.537736\pi\) |
−0.907833 | + | 0.419332i | \(0.862264\pi\) | |||||||
\(38\) | −48.1793 | + | 66.3131i | −0.205677 | + | 0.283090i | ||||
\(39\) | −135.119 | + | 98.1694i | −0.554776 | + | 0.403069i | ||||
\(40\) | −20.9860 | + | 39.8194i | −0.0829544 | + | 0.157400i | ||||
\(41\) | −176.752 | − | 128.418i | −0.673268 | − | 0.489158i | 0.197850 | − | 0.980232i | \(-0.436604\pi\) |
−0.871118 | + | 0.491075i | \(0.836604\pi\) | |||||||
\(42\) | 388.583 | − | 126.258i | 1.42761 | − | 0.463859i | ||||
\(43\) | − | 430.797i | − | 1.52781i | −0.645327 | − | 0.763906i | \(-0.723279\pi\) | ||
0.645327 | − | 0.763906i | \(-0.276721\pi\) | |||||||
\(44\) | 53.7442 | + | 165.408i | 0.184142 | + | 0.566730i | ||||
\(45\) | 143.447 | − | 20.6952i | 0.475195 | − | 0.0685568i | ||||
\(46\) | 78.5113 | − | 241.633i | 0.251649 | − | 0.774496i | ||||
\(47\) | −174.686 | − | 56.7589i | −0.542139 | − | 0.176152i | 0.0251299 | − | 0.999684i | \(-0.492000\pi\) |
−0.567269 | + | 0.823532i | \(0.692000\pi\) | |||||||
\(48\) | −121.624 | − | 167.401i | −0.365727 | − | 0.503379i | ||||
\(49\) | −357.521 | −1.04234 | ||||||||
\(50\) | −424.871 | + | 291.121i | −1.20172 | + | 0.823416i | ||||
\(51\) | 277.915 | 0.763058 | ||||||||
\(52\) | 235.221 | + | 323.754i | 0.627294 | + | 0.863396i | ||||
\(53\) | −59.1999 | − | 19.2352i | −0.153429 | − | 0.0498520i | 0.231296 | − | 0.972884i | \(-0.425704\pi\) |
−0.384724 | + | 0.923031i | \(0.625704\pi\) | |||||||
\(54\) | 190.638 | − | 586.722i | 0.480417 | − | 1.47857i | ||||
\(55\) | −36.8330 | + | 213.451i | −0.0903011 | + | 0.523303i | ||||
\(56\) | −32.9274 | − | 101.340i | −0.0785734 | − | 0.241824i | ||||
\(57\) | 74.5325i | 0.173194i | ||||||||
\(58\) | −1125.74 | + | 365.776i | −2.54857 | + | 0.828082i | ||||
\(59\) | 299.411 | + | 217.535i | 0.660678 | + | 0.480010i | 0.866892 | − | 0.498497i | \(-0.166114\pi\) |
−0.206214 | + | 0.978507i | \(0.566114\pi\) | |||||||
\(60\) | 53.6947 | + | 372.180i | 0.115533 | + | 0.800803i | ||||
\(61\) | 180.255 | − | 130.963i | 0.378348 | − | 0.274886i | −0.382316 | − | 0.924032i | \(-0.624873\pi\) |
0.760664 | + | 0.649146i | \(0.224873\pi\) | |||||||
\(62\) | 196.989 | − | 271.132i | 0.403510 | − | 0.555384i | ||||
\(63\) | −201.669 | + | 277.573i | −0.403299 | + | 0.555094i | ||||
\(64\) | −508.464 | + | 369.421i | −0.993095 | + | 0.721526i | ||||
\(65\) | 71.1676 | + | 493.291i | 0.135804 | + | 0.941312i | ||||
\(66\) | 241.957 | + | 175.792i | 0.451256 | + | 0.327856i | ||||
\(67\) | 423.363 | − | 137.559i | 0.771970 | − | 0.250828i | 0.103562 | − | 0.994623i | \(-0.466976\pi\) |
0.668408 | + | 0.743795i | \(0.266976\pi\) | |||||||
\(68\) | − | 665.905i | − | 1.18754i | ||||||
\(69\) | −71.3898 | − | 219.715i | −0.124555 | − | 0.383342i | ||||
\(70\) | 207.332 | − | 1201.50i | 0.354012 | − | 2.05153i | ||||
\(71\) | 126.710 | − | 389.973i | 0.211798 | − | 0.651848i | −0.787567 | − | 0.616229i | \(-0.788660\pi\) |
0.999365 | − | 0.0356193i | \(-0.0113404\pi\) | |||||||
\(72\) | −49.6341 | − | 16.1271i | −0.0812421 | − | 0.0263972i | ||||
\(73\) | 196.202 | + | 270.049i | 0.314571 | + | 0.432970i | 0.936800 | − | 0.349865i | \(-0.113773\pi\) |
−0.622229 | + | 0.782835i | \(0.713773\pi\) | |||||||
\(74\) | 1618.85 | 2.54308 | ||||||||
\(75\) | −156.954 | + | 441.239i | −0.241646 | + | 0.679332i | ||||
\(76\) | 178.585 | 0.269541 | ||||||||
\(77\) | −301.400 | − | 414.841i | −0.446074 | − | 0.613968i | ||||
\(78\) | 654.478 | + | 212.653i | 0.950065 | + | 0.308695i | ||||
\(79\) | 77.3261 | − | 237.985i | 0.110125 | − | 0.338930i | −0.880774 | − | 0.473537i | \(-0.842977\pi\) |
0.990899 | + | 0.134607i | \(0.0429772\pi\) | |||||||
\(80\) | −611.147 | + | 88.1707i | −0.854104 | + | 0.123222i | ||||
\(81\) | −65.1884 | − | 200.629i | −0.0894216 | − | 0.275212i | ||||
\(82\) | 900.197i | 1.21232i | ||||||||
\(83\) | 1008.98 | − | 327.838i | 1.33434 | − | 0.433553i | 0.446944 | − | 0.894562i | \(-0.352512\pi\) |
0.887396 | + | 0.461009i | \(0.152512\pi\) | |||||||
\(84\) | −720.177 | − | 523.239i | −0.935449 | − | 0.679644i | ||||
\(85\) | 386.671 | − | 733.681i | 0.493417 | − | 0.936223i | ||||
\(86\) | −1436.03 | + | 1043.33i | −1.80059 | + | 1.30820i | ||||
\(87\) | −632.638 | + | 870.752i | −0.779608 | + | 1.07304i | ||||
\(88\) | 45.8455 | − | 63.1010i | 0.0555358 | − | 0.0764385i | ||||
\(89\) | −425.441 | + | 309.101i | −0.506704 | + | 0.368142i | −0.811572 | − | 0.584252i | \(-0.801388\pi\) |
0.304868 | + | 0.952395i | \(0.401388\pi\) | |||||||
\(90\) | −416.395 | − | 428.046i | −0.487687 | − | 0.501334i | ||||
\(91\) | −954.531 | − | 693.507i | −1.09958 | − | 0.798894i | ||||
\(92\) | −526.453 | + | 171.055i | −0.596593 | + | 0.193845i | ||||
\(93\) | − | 304.738i | − | 0.339784i | ||||||
\(94\) | 233.865 | + | 719.763i | 0.256610 | + | 0.789764i | ||||
\(95\) | 196.762 | + | 103.699i | 0.212498 | + | 0.111993i | ||||
\(96\) | −300.748 | + | 925.606i | −0.319739 | + | 0.984055i | ||||
\(97\) | 469.781 | + | 152.641i | 0.491743 | + | 0.159777i | 0.544383 | − | 0.838837i | \(-0.316764\pi\) |
−0.0526405 | + | 0.998614i | \(0.516764\pi\) | |||||||
\(98\) | 865.868 | + | 1191.77i | 0.892509 | + | 1.22843i | ||||
\(99\) | −251.144 | −0.254959 | ||||||||
\(100\) | 1057.24 | + | 376.073i | 1.05724 | + | 0.376073i | ||||
\(101\) | −212.047 | −0.208906 | −0.104453 | − | 0.994530i | \(-0.533309\pi\) | ||||
−0.104453 | + | 0.994530i | \(0.533309\pi\) | |||||||
\(102\) | −673.074 | − | 926.407i | −0.653375 | − | 0.899294i | ||||
\(103\) | 550.741 | + | 178.947i | 0.526856 | + | 0.171186i | 0.560354 | − | 0.828253i | \(-0.310665\pi\) |
−0.0334986 | + | 0.999439i | \(0.510665\pi\) | |||||||
\(104\) | 55.4586 | − | 170.684i | 0.0522900 | − | 0.160932i | ||||
\(105\) | −489.647 | − | 994.680i | −0.455092 | − | 0.924484i | ||||
\(106\) | 79.2553 | + | 243.923i | 0.0726222 | + | 0.223508i | ||||
\(107\) | − | 1045.08i | − | 0.944225i | −0.881538 | − | 0.472112i | \(-0.843492\pi\) | ||
0.881538 | − | 0.472112i | \(-0.156508\pi\) | |||||||
\(108\) | −1278.31 | + | 415.348i | −1.13894 | + | 0.370064i | ||||
\(109\) | −1457.66 | − | 1059.05i | −1.28091 | − | 0.930633i | −0.281326 | − | 0.959612i | \(-0.590774\pi\) |
−0.999580 | + | 0.0289797i | \(0.990774\pi\) | |||||||
\(110\) | 800.724 | − | 394.169i | 0.694055 | − | 0.341660i | ||||
\(111\) | 1190.88 | − | 865.227i | 1.01832 | − | 0.739853i | ||||
\(112\) | 859.198 | − | 1182.58i | 0.724880 | − | 0.997712i | ||||
\(113\) | −27.4350 | + | 37.7611i | −0.0228396 | + | 0.0314360i | −0.820284 | − | 0.571956i | \(-0.806185\pi\) |
0.797445 | + | 0.603392i | \(0.206185\pi\) | |||||||
\(114\) | 248.448 | − | 180.508i | 0.204116 | − | 0.148299i | ||||
\(115\) | −679.363 | − | 117.231i | −0.550877 | − | 0.0950593i | ||||
\(116\) | 2086.38 | + | 1515.85i | 1.66996 | + | 1.21330i | ||||
\(117\) | −549.588 | + | 178.572i | −0.434269 | + | 0.141102i | ||||
\(118\) | − | 1524.90i | − | 1.18965i | ||||||
\(119\) | 606.694 | + | 1867.21i | 0.467358 | + | 1.43838i | ||||
\(120\) | 120.879 | − | 117.588i | 0.0919557 | − | 0.0894525i | ||||
\(121\) | −295.314 | + | 908.884i | −0.221874 | + | 0.682858i | ||||
\(122\) | −873.105 | − | 283.689i | −0.647928 | − | 0.210525i | ||||
\(123\) | 481.128 | + | 662.215i | 0.352698 | + | 0.485447i | ||||
\(124\) | −730.175 | −0.528804 | ||||||||
\(125\) | 946.473 | + | 1028.26i | 0.677241 | + | 0.735762i | ||||
\(126\) | 1413.68 | 0.999529 | ||||||||
\(127\) | 699.634 | + | 962.963i | 0.488838 | + | 0.672828i | 0.980173 | − | 0.198143i | \(-0.0634909\pi\) |
−0.491335 | + | 0.870971i | \(0.663491\pi\) | |||||||
\(128\) | 486.440 | + | 158.054i | 0.335904 | + | 0.109142i | ||||
\(129\) | −498.759 | + | 1535.02i | −0.340413 | + | 1.04768i | ||||
\(130\) | 1471.99 | − | 1431.92i | 0.993090 | − | 0.966057i | ||||
\(131\) | −63.5100 | − | 195.464i | −0.0423580 | − | 0.130365i | 0.927641 | − | 0.373473i | \(-0.121833\pi\) |
−0.969999 | + | 0.243108i | \(0.921833\pi\) | |||||||
\(132\) | − | 651.606i | − | 0.429659i | ||||||
\(133\) | −500.757 | + | 162.706i | −0.326475 | + | 0.106078i | ||||
\(134\) | −1483.87 | − | 1078.09i | −0.956618 | − | 0.695023i | ||||
\(135\) | −1649.60 | − | 284.654i | −1.05167 | − | 0.181475i | ||||
\(136\) | −241.601 | + | 175.534i | −0.152332 | + | 0.110676i | ||||
\(137\) | 1310.51 | − | 1803.76i | 0.817256 | − | 1.12486i | −0.172907 | − | 0.984938i | \(-0.555316\pi\) |
0.990163 | − | 0.139919i | \(-0.0446841\pi\) | |||||||
\(138\) | −559.505 | + | 770.093i | −0.345132 | + | 0.475034i | ||||
\(139\) | 557.340 | − | 404.931i | 0.340093 | − | 0.247092i | −0.404608 | − | 0.914490i | \(-0.632592\pi\) |
0.744701 | + | 0.667398i | \(0.232592\pi\) | |||||||
\(140\) | −2383.32 | + | 1173.23i | −1.43877 | + | 0.708257i | ||||
\(141\) | 556.730 | + | 404.488i | 0.332519 | + | 0.241589i | ||||
\(142\) | −1606.81 | + | 522.086i | −0.949583 | + | 0.308538i | ||||
\(143\) | − | 863.646i | − | 0.505047i | ||||||
\(144\) | −221.236 | − | 680.894i | −0.128030 | − | 0.394036i | ||||
\(145\) | 1418.53 | + | 2881.63i | 0.812431 | + | 1.65039i | ||||
\(146\) | 425.010 | − | 1308.04i | 0.240918 | − | 0.741470i | ||||
\(147\) | 1273.92 | + | 413.923i | 0.714772 | + | 0.232243i | ||||
\(148\) | −2073.15 | − | 2853.44i | −1.15143 | − | 1.58481i | ||||
\(149\) | 332.872 | 0.183020 | 0.0915098 | − | 0.995804i | \(-0.470831\pi\) | ||||
0.0915098 | + | 0.995804i | \(0.470831\pi\) | |||||||
\(150\) | 1850.95 | − | 545.430i | 1.00753 | − | 0.296895i | ||||
\(151\) | −3165.59 | −1.70604 | −0.853020 | − | 0.521878i | \(-0.825231\pi\) | ||||
−0.853020 | + | 0.521878i | \(0.825231\pi\) | |||||||
\(152\) | −47.0754 | − | 64.7937i | −0.0251205 | − | 0.0345754i | ||||
\(153\) | 914.518 | + | 297.145i | 0.483232 | + | 0.157011i | ||||
\(154\) | −652.887 | + | 2009.38i | −0.341631 | + | 1.05143i | ||||
\(155\) | −804.493 | − | 423.991i | −0.416893 | − | 0.219715i | ||||
\(156\) | −463.314 | − | 1425.93i | −0.237787 | − | 0.731833i | ||||
\(157\) | 790.622i | 0.401901i | 0.979601 | + | 0.200951i | \(0.0644031\pi\) | ||||
−0.979601 | + | 0.200951i | \(0.935597\pi\) | |||||||
\(158\) | −980.577 | + | 318.609i | −0.493737 | + | 0.160425i | ||||
\(159\) | 188.672 | + | 137.078i | 0.0941048 | + | 0.0683711i | ||||
\(160\) | 2025.11 | + | 2081.78i | 1.00062 | + | 1.02862i | ||||
\(161\) | 1320.34 | − | 959.285i | 0.646320 | − | 0.469579i | ||||
\(162\) | −510.903 | + | 703.197i | −0.247780 | + | 0.341039i | ||||
\(163\) | −89.2654 | + | 122.863i | −0.0428945 | + | 0.0590393i | −0.829926 | − | 0.557874i | \(-0.811617\pi\) |
0.787031 | + | 0.616913i | \(0.211617\pi\) | |||||||
\(164\) | 1586.72 | − | 1152.82i | 0.755498 | − | 0.548902i | ||||
\(165\) | 378.368 | − | 717.926i | 0.178521 | − | 0.338730i | ||||
\(166\) | −3536.44 | − | 2569.38i | −1.65350 | − | 1.20134i | ||||
\(167\) | −1707.52 | + | 554.806i | −0.791207 | + | 0.257079i | −0.676618 | − | 0.736334i | \(-0.736555\pi\) |
−0.114589 | + | 0.993413i | \(0.536555\pi\) | |||||||
\(168\) | 399.218i | 0.183336i | ||||||||
\(169\) | 64.8290 | + | 199.523i | 0.0295080 | + | 0.0908162i | ||||
\(170\) | −3382.13 | + | 487.943i | −1.52587 | + | 0.220138i | ||||
\(171\) | −79.6896 | + | 245.259i | −0.0356375 | + | 0.109681i | ||||
\(172\) | 3678.02 | + | 1195.06i | 1.63050 | + | 0.529783i | ||||
\(173\) | 901.648 | + | 1241.01i | 0.396249 | + | 0.545389i | 0.959798 | − | 0.280693i | \(-0.0905644\pi\) |
−0.563549 | + | 0.826083i | \(0.690564\pi\) | |||||||
\(174\) | 4434.74 | 1.93217 | ||||||||
\(175\) | −3307.16 | − | 91.2837i | −1.42856 | − | 0.0394308i | ||||
\(176\) | 1069.99 | 0.458257 | ||||||||
\(177\) | −815.012 | − | 1121.77i | −0.346102 | − | 0.476369i | ||||
\(178\) | 2060.72 | + | 669.570i | 0.867741 | + | 0.281946i | ||||
\(179\) | 939.001 | − | 2889.95i | 0.392091 | − | 1.20673i | −0.539113 | − | 0.842233i | \(-0.681241\pi\) |
0.931204 | − | 0.364498i | \(-0.118759\pi\) | |||||||
\(180\) | −221.242 | + | 1282.12i | −0.0916134 | + | 0.530908i | ||||
\(181\) | 1076.93 | + | 3314.44i | 0.442250 | + | 1.36111i | 0.885471 | + | 0.464694i | \(0.153836\pi\) |
−0.443221 | + | 0.896413i | \(0.646164\pi\) | |||||||
\(182\) | 4861.43i | 1.97996i | ||||||||
\(183\) | −793.908 | + | 257.956i | −0.320696 | + | 0.104200i | ||||
\(184\) | 200.835 | + | 145.916i | 0.0804662 | + | 0.0584621i | ||||
\(185\) | −627.244 | − | 4347.68i | −0.249275 | − | 1.72783i | ||||
\(186\) | −1015.82 | + | 738.036i | −0.400449 | + | 0.290943i | ||||
\(187\) | −844.714 | + | 1162.65i | −0.330329 | + | 0.454659i | ||||
\(188\) | 969.182 | − | 1333.96i | 0.375983 | − | 0.517497i | ||||
\(189\) | 3206.00 | − | 2329.29i | 1.23387 | − | 0.896461i | ||||
\(190\) | −130.859 | − | 907.034i | −0.0499657 | − | 0.346333i | ||||
\(191\) | 385.738 | + | 280.255i | 0.146131 | + | 0.106170i | 0.658449 | − | 0.752626i | \(-0.271213\pi\) |
−0.512318 | + | 0.858796i | \(0.671213\pi\) | |||||||
\(192\) | 2239.47 | − | 727.647i | 0.841769 | − | 0.273507i | ||||
\(193\) | 1098.86i | 0.409831i | 0.978780 | + | 0.204916i | \(0.0656920\pi\) | ||||
−0.978780 | + | 0.204916i | \(0.934308\pi\) | |||||||
\(194\) | −628.931 | − | 1935.65i | −0.232756 | − | 0.716349i | ||||
\(195\) | 317.527 | − | 1840.10i | 0.116608 | − | 0.675754i | ||||
\(196\) | 991.789 | − | 3052.41i | 0.361439 | − | 1.11240i | ||||
\(197\) | −87.3420 | − | 28.3791i | −0.0315881 | − | 0.0102636i | 0.293180 | − | 0.956057i | \(-0.405286\pi\) |
−0.324768 | + | 0.945794i | \(0.605286\pi\) | |||||||
\(198\) | 608.237 | + | 837.167i | 0.218311 | + | 0.300479i | ||||
\(199\) | 1614.65 | 0.575174 | 0.287587 | − | 0.957754i | \(-0.407147\pi\) | ||||
0.287587 | + | 0.957754i | \(0.407147\pi\) | |||||||
\(200\) | −142.245 | − | 482.718i | −0.0502911 | − | 0.170666i | ||||
\(201\) | −1667.79 | −0.585259 | ||||||||
\(202\) | 513.549 | + | 706.840i | 0.178877 | + | 0.246203i | ||||
\(203\) | −7231.33 | − | 2349.60i | −2.50020 | − | 0.812363i | ||||
\(204\) | −770.957 | + | 2372.76i | −0.264597 | + | 0.814346i | ||||
\(205\) | 2417.62 | − | 348.792i | 0.823677 | − | 0.118833i | ||||
\(206\) | −737.319 | − | 2269.23i | −0.249376 | − | 0.767500i | ||||
\(207\) | − | 799.332i | − | 0.268393i | ||||||
\(208\) | 2341.49 | − | 760.796i | 0.780544 | − | 0.253614i | ||||
\(209\) | −311.804 | − | 226.539i | −0.103196 | − | 0.0749762i | ||||
\(210\) | −2129.82 | + | 4041.18i | −0.699864 | + | 1.32794i | ||||
\(211\) | 2980.05 | − | 2165.14i | 0.972300 | − | 0.706418i | 0.0163258 | − | 0.999867i | \(-0.494803\pi\) |
0.955975 | + | 0.293449i | \(0.0948031\pi\) | |||||||
\(212\) | 328.449 | − | 452.072i | 0.106406 | − | 0.146455i | ||||
\(213\) | −902.988 | + | 1242.86i | −0.290477 | + | 0.399808i | ||||
\(214\) | −3483.70 | + | 2531.05i | −1.11281 | + | 0.808501i | ||||
\(215\) | 3358.44 | + | 3452.42i | 1.06532 | + | 1.09513i | ||||
\(216\) | 487.660 | + | 354.306i | 0.153616 | + | 0.111609i | ||||
\(217\) | 2047.43 | − | 665.250i | 0.640500 | − | 0.208111i | ||||
\(218\) | 7423.88i | 2.30646i | ||||||||
\(219\) | −386.458 | − | 1189.40i | −0.119244 | − | 0.366995i | ||||
\(220\) | −1720.20 | − | 906.597i | −0.527164 | − | 0.277831i | ||||
\(221\) | −1021.84 | + | 3144.89i | −0.311023 | + | 0.957231i | ||||
\(222\) | −5768.32 | − | 1874.24i | −1.74389 | − | 0.566625i | ||||
\(223\) | −2910.64 | − | 4006.15i | −0.874039 | − | 1.20301i | −0.978036 | − | 0.208434i | \(-0.933163\pi\) |
0.103997 | − | 0.994578i | \(-0.466837\pi\) | |||||||
\(224\) | −6875.35 | −2.05080 | ||||||||
\(225\) | −988.248 | + | 1284.14i | −0.292814 | + | 0.380487i | ||||
\(226\) | 192.317 | 0.0566051 | ||||||||
\(227\) | 216.700 | + | 298.261i | 0.0633606 | + | 0.0872084i | 0.839521 | − | 0.543327i | \(-0.182835\pi\) |
−0.776161 | + | 0.630535i | \(0.782835\pi\) | |||||||
\(228\) | −636.338 | − | 206.759i | −0.184836 | − | 0.0600567i | ||||
\(229\) | −319.117 | + | 982.142i | −0.0920868 | + | 0.283414i | −0.986484 | − | 0.163861i | \(-0.947605\pi\) |
0.894397 | + | 0.447274i | \(0.147605\pi\) | |||||||
\(230\) | 1254.55 | + | 2548.51i | 0.359663 | + | 0.730626i | ||||
\(231\) | 593.666 | + | 1827.12i | 0.169092 | + | 0.520413i | ||||
\(232\) | − | 1156.55i | − | 0.327291i | ||||||
\(233\) | 1338.84 | − | 435.017i | 0.376440 | − | 0.122313i | −0.114685 | − | 0.993402i | \(-0.536586\pi\) |
0.491125 | + | 0.871089i | \(0.336586\pi\) | |||||||
\(234\) | 1926.28 | + | 1399.53i | 0.538141 | + | 0.390982i | ||||
\(235\) | 1842.42 | − | 906.961i | 0.511431 | − | 0.251760i | ||||
\(236\) | −2687.84 | + | 1952.83i | −0.741370 | + | 0.538637i | ||||
\(237\) | −551.059 | + | 758.467i | −0.151034 | + | 0.207881i | ||||
\(238\) | 4754.86 | − | 6544.51i | 1.29501 | − | 1.78243i | ||||
\(239\) | −3547.06 | + | 2577.09i | −0.960002 | + | 0.697482i | −0.953151 | − | 0.302495i | \(-0.902181\pi\) |
−0.00685049 | + | 0.999977i | \(0.502181\pi\) | |||||||
\(240\) | 2279.73 | + | 393.390i | 0.613149 | + | 0.105805i | ||||
\(241\) | 224.103 | + | 162.820i | 0.0598993 | + | 0.0435194i | 0.617332 | − | 0.786703i | \(-0.288214\pi\) |
−0.557433 | + | 0.830222i | \(0.688214\pi\) | |||||||
\(242\) | 3744.90 | − | 1216.79i | 0.994757 | − | 0.323216i | ||||
\(243\) | − | 3252.22i | − | 0.858560i | ||||||
\(244\) | 618.082 | + | 1902.26i | 0.162167 | + | 0.499098i | ||||
\(245\) | 2865.18 | − | 2787.19i | 0.747141 | − | 0.726803i | ||||
\(246\) | 1042.21 | − | 3207.60i | 0.270118 | − | 0.831337i | ||||
\(247\) | −843.410 | − | 274.040i | −0.217267 | − | 0.0705942i | ||||
\(248\) | 192.475 | + | 264.919i | 0.0492830 | + | 0.0678323i | ||||
\(249\) | −3974.78 | −1.01161 | ||||||||
\(250\) | 1135.38 | − | 5645.29i | 0.287231 | − | 1.42816i | ||||
\(251\) | 6881.24 | 1.73044 | 0.865219 | − | 0.501393i | \(-0.167179\pi\) | ||||
0.865219 | + | 0.501393i | \(0.167179\pi\) | |||||||
\(252\) | −1810.40 | − | 2491.80i | −0.452557 | − | 0.622891i | ||||
\(253\) | 1136.16 | + | 369.160i | 0.282330 | + | 0.0917347i | ||||
\(254\) | 1515.54 | − | 4664.34i | 0.374382 | − | 1.15223i | ||||
\(255\) | −2227.22 | + | 2166.59i | −0.546956 | + | 0.532068i | ||||
\(256\) | 902.495 | + | 2777.59i | 0.220336 | + | 0.678124i | ||||
\(257\) | − | 7406.10i | − | 1.79759i | −0.438372 | − | 0.898794i | \(-0.644445\pi\) | ||
0.438372 | − | 0.898794i | \(-0.355555\pi\) | |||||||
\(258\) | 6324.79 | − | 2055.05i | 1.52622 | − | 0.495898i | ||||
\(259\) | 8412.87 | + | 6112.31i | 2.01834 | + | 1.46641i | ||||
\(260\) | −4409.01 | − | 760.817i | −1.05167 | − | 0.181476i | ||||
\(261\) | −3012.78 | + | 2188.92i | −0.714508 | + | 0.519120i | ||||
\(262\) | −497.749 | + | 685.093i | −0.117370 | + | 0.161546i | ||||
\(263\) | −2819.25 | + | 3880.36i | −0.660997 | + | 0.909784i | −0.999514 | − | 0.0311762i | \(-0.990075\pi\) |
0.338517 | + | 0.940960i | \(0.390075\pi\) | |||||||
\(264\) | −236.413 | + | 171.764i | −0.0551145 | + | 0.0400430i | ||||
\(265\) | 624.384 | − | 307.363i | 0.144738 | − | 0.0712497i | ||||
\(266\) | 1755.13 | + | 1275.18i | 0.404564 | + | 0.293933i | ||||
\(267\) | 1873.80 | − | 608.836i | 0.429494 | − | 0.139551i | ||||
\(268\) | 3996.15i | 0.910835i | ||||||||
\(269\) | −520.192 | − | 1600.99i | −0.117906 | − | 0.362877i | 0.874636 | − | 0.484780i | \(-0.161100\pi\) |
−0.992542 | + | 0.121903i | \(0.961100\pi\) | |||||||
\(270\) | 3046.24 | + | 6188.19i | 0.686622 | + | 1.39482i | ||||
\(271\) | −1243.61 | + | 3827.43i | −0.278759 | + | 0.857933i | 0.709441 | + | 0.704765i | \(0.248948\pi\) |
−0.988200 | + | 0.153168i | \(0.951052\pi\) | |||||||
\(272\) | −3896.26 | − | 1265.97i | −0.868549 | − | 0.282209i | ||||
\(273\) | 2598.28 | + | 3576.23i | 0.576027 | + | 0.792833i | ||||
\(274\) | −9186.54 | −2.02547 | ||||||||
\(275\) | −1368.85 | − | 1997.74i | −0.300163 | − | 0.438067i | ||||
\(276\) | 2073.91 | 0.452299 | ||||||||
\(277\) | −1126.62 | − | 1550.66i | −0.244376 | − | 0.336354i | 0.669156 | − | 0.743122i | \(-0.266656\pi\) |
−0.913532 | + | 0.406768i | \(0.866656\pi\) | |||||||
\(278\) | −2699.60 | − | 877.155i | −0.582416 | − | 0.189238i | ||||
\(279\) | 325.824 | − | 1002.78i | 0.0699160 | − | 0.215179i | ||||
\(280\) | 1053.91 | + | 555.444i | 0.224941 | + | 0.118550i | ||||
\(281\) | −164.991 | − | 507.791i | −0.0350269 | − | 0.107802i | 0.932014 | − | 0.362421i | \(-0.118050\pi\) |
−0.967041 | + | 0.254619i | \(0.918050\pi\) | |||||||
\(282\) | − | 2835.43i | − | 0.598749i | ||||||
\(283\) | 1372.10 | − | 445.823i | 0.288209 | − | 0.0936446i | −0.161345 | − | 0.986898i | \(-0.551583\pi\) |
0.449553 | + | 0.893253i | \(0.351583\pi\) | |||||||
\(284\) | 2977.97 | + | 2163.62i | 0.622219 | + | 0.452069i | ||||
\(285\) | −581.046 | − | 597.305i | −0.120766 | − | 0.124145i | ||||
\(286\) | −2878.89 | + | 2091.63i | −0.595218 | + | 0.432451i | ||||
\(287\) | −3398.88 | + | 4678.15i | −0.699057 | + | 0.962169i | ||||
\(288\) | −1979.30 | + | 2724.28i | −0.404970 | + | 0.557394i | ||||
\(289\) | 476.855 | − | 346.456i | 0.0970599 | − | 0.0705181i | ||||
\(290\) | 6170.18 | − | 11707.5i | 1.24940 | − | 2.37064i | ||||
\(291\) | −1497.21 | − | 1087.79i | −0.301608 | − | 0.219131i | ||||
\(292\) | −2849.88 | + | 925.982i | −0.571153 | + | 0.185579i | ||||
\(293\) | 3570.98i | 0.712009i | 0.934484 | + | 0.356005i | \(0.115861\pi\) | ||||
−0.934484 | + | 0.356005i | \(0.884139\pi\) | |||||||
\(294\) | −1705.50 | − | 5248.98i | −0.338322 | − | 1.04125i | ||||
\(295\) | −4095.36 | + | 590.840i | −0.808274 | + | 0.116610i | ||||
\(296\) | −488.791 | + | 1504.34i | −0.0959810 | + | 0.295399i | ||||
\(297\) | 2758.77 | + | 896.377i | 0.538989 | + | 0.175128i | ||||
\(298\) | −806.171 | − | 1109.60i | −0.156712 | − | 0.215696i | ||||
\(299\) | 2748.78 | 0.531659 | ||||||||
\(300\) | −3331.77 | − | 2564.06i | −0.641200 | − | 0.493453i | ||||
\(301\) | −11402.1 | −2.18340 | ||||||||
\(302\) | 7666.64 | + | 10552.2i | 1.46081 | + | 2.01064i | ||||
\(303\) | 755.569 | + | 245.499i | 0.143255 | + | 0.0465464i | ||||
\(304\) | 339.513 | − | 1044.91i | 0.0640540 | − | 0.197138i | ||||
\(305\) | −423.596 | + | 2454.78i | −0.0795247 | + | 0.460853i | ||||
\(306\) | −1224.33 | − | 3768.11i | −0.228727 | − | 0.703950i | ||||
\(307\) | − | 254.168i | − | 0.0472512i | −0.999721 | − | 0.0236256i | \(-0.992479\pi\) | ||
0.999721 | − | 0.0236256i | \(-0.00752097\pi\) | |||||||
\(308\) | 4377.90 | − | 1422.47i | 0.809916 | − | 0.263158i | ||||
\(309\) | −1755.23 | − | 1275.25i | −0.323145 | − | 0.234778i | ||||
\(310\) | 535.037 | + | 3708.56i | 0.0980259 | + | 0.679458i | ||||
\(311\) | 6533.93 | − | 4747.18i | 1.19134 | − | 0.865556i | 0.197930 | − | 0.980216i | \(-0.436578\pi\) |
0.993405 | + | 0.114660i | \(0.0365780\pi\) | |||||||
\(312\) | −395.221 | + | 543.976i | −0.0717148 | + | 0.0987069i | ||||
\(313\) | 402.923 | − | 554.576i | 0.0727621 | − | 0.100148i | −0.771085 | − | 0.636732i | \(-0.780286\pi\) |
0.843847 | + | 0.536584i | \(0.180286\pi\) | |||||||
\(314\) | 2635.47 | − | 1914.78i | 0.473656 | − | 0.344132i | ||||
\(315\) | −547.747 | − | 3796.66i | −0.0979747 | − | 0.679103i | ||||
\(316\) | 1817.34 | + | 1320.38i | 0.323524 | + | 0.235054i | ||||
\(317\) | −4354.28 | + | 1414.79i | −0.771485 | + | 0.250671i | −0.668201 | − | 0.743981i | \(-0.732935\pi\) |
−0.103285 | + | 0.994652i | \(0.532935\pi\) | |||||||
\(318\) | − | 960.907i | − | 0.169450i | ||||||
\(319\) | −1719.88 | − | 5293.24i | −0.301864 | − | 0.929042i | ||||
\(320\) | 1194.89 | − | 6924.47i | 0.208738 | − | 1.20965i | ||||
\(321\) | −1209.95 | + | 3723.86i | −0.210383 | + | 0.647493i | ||||
\(322\) | −6395.38 | − | 2077.99i | −1.10683 | − | 0.359632i | ||||
\(323\) | 867.374 | + | 1193.84i | 0.149418 | + | 0.205656i | ||||
\(324\) | 1893.75 | 0.324718 | ||||||||
\(325\) | −4415.97 | − | 3398.43i | −0.753705 | − | 0.580034i | ||||
\(326\) | 625.743 | 0.106309 | ||||||||
\(327\) | 3967.83 | + | 5461.26i | 0.671014 | + | 0.923572i | ||||
\(328\) | −836.521 | − | 271.802i | −0.140821 | − | 0.0457554i | ||||
\(329\) | −1502.26 | + | 4623.47i | −0.251739 | + | 0.774773i | ||||
\(330\) | −3309.50 | + | 477.465i | −0.552067 | + | 0.0796472i | ||||
\(331\) | −2287.10 | − | 7038.96i | −0.379789 | − | 1.16887i | −0.940190 | − | 0.340650i | \(-0.889353\pi\) |
0.560401 | − | 0.828221i | \(-0.310647\pi\) | |||||||
\(332\) | 9523.85i | 1.57437i | ||||||||
\(333\) | 4843.86 | − | 1573.86i | 0.797122 | − | 0.259001i | ||||
\(334\) | 5984.78 | + | 4348.19i | 0.980456 | + | 0.712343i | ||||
\(335\) | −2320.45 | + | 4402.88i | −0.378446 | + | 0.718075i | ||||
\(336\) | −4430.65 | + | 3219.06i | −0.719381 | + | 0.522661i | ||||
\(337\) | 802.653 | − | 1104.76i | 0.129743 | − | 0.178576i | −0.739203 | − | 0.673482i | \(-0.764798\pi\) |
0.868946 | + | 0.494907i | \(0.164798\pi\) | |||||||
\(338\) | 508.086 | − | 699.320i | 0.0817640 | − | 0.112539i | ||||
\(339\) | 141.475 | − | 102.788i | 0.0226663 | − | 0.0164680i | ||||
\(340\) | 5191.31 | + | 5336.58i | 0.828054 | + | 0.851225i | ||||
\(341\) | 1274.86 | + | 926.241i | 0.202456 | + | 0.147093i | ||||
\(342\) | 1010.55 | − | 328.347i | 0.159778 | − | 0.0519152i | ||||
\(343\) | 384.331i | 0.0605012i | ||||||||
\(344\) | −535.944 | − | 1649.47i | −0.0840005 | − | 0.258527i | ||||
\(345\) | 2284.99 | + | 1204.26i | 0.356579 | + | 0.187927i | ||||
\(346\) | 1953.13 | − | 6011.13i | 0.303472 | − | 0.933990i | ||||
\(347\) | 10055.8 | + | 3267.32i | 1.55568 | + | 0.505472i | 0.955651 | − | 0.294503i | \(-0.0951539\pi\) |
0.600033 | + | 0.799975i | \(0.295154\pi\) | |||||||
\(348\) | −5679.25 | − | 7816.81i | −0.874826 | − | 1.20410i | ||||
\(349\) | 1310.55 | 0.201008 | 0.100504 | − | 0.994937i | \(-0.467954\pi\) | ||||
0.100504 | + | 0.994937i | \(0.467954\pi\) | |||||||
\(350\) | 7705.21 | + | 11245.2i | 1.17675 | + | 1.71738i | ||||
\(351\) | 6674.47 | 1.01498 | ||||||||
\(352\) | −2958.13 | − | 4071.51i | −0.447922 | − | 0.616512i | ||||
\(353\) | −4073.40 | − | 1323.53i | −0.614179 | − | 0.199559i | −0.0146250 | − | 0.999893i | \(-0.504655\pi\) |
−0.599554 | + | 0.800334i | \(0.704655\pi\) | |||||||
\(354\) | −1765.47 | + | 5433.55i | −0.265066 | + | 0.815790i | ||||
\(355\) | 2024.72 | + | 4113.06i | 0.302707 | + | 0.614925i | ||||
\(356\) | −1458.81 | − | 4489.77i | −0.217183 | − | 0.668419i | ||||
\(357\) | − | 7355.69i | − | 1.09049i | ||||||
\(358\) | −11907.5 | + | 3868.99i | −1.75791 | + | 0.571180i | ||||
\(359\) | −309.644 | − | 224.970i | −0.0455220 | − | 0.0330737i | 0.564792 | − | 0.825234i | \(-0.308957\pi\) |
−0.610314 | + | 0.792160i | \(0.708957\pi\) | |||||||
\(360\) | 523.493 | − | 257.698i | 0.0766403 | − | 0.0377274i | ||||
\(361\) | 5228.88 | − | 3799.00i | 0.762338 | − | 0.553871i | ||||
\(362\) | 8440.23 | − | 11617.0i | 1.22544 | − | 1.68667i | ||||
\(363\) | 2104.54 | − | 2896.65i | 0.304296 | − | 0.418828i | ||||
\(364\) | 8568.91 | − | 6225.67i | 1.23388 | − | 0.896467i | ||||
\(365\) | −3677.63 | − | 634.611i | −0.527386 | − | 0.0910057i | ||||
\(366\) | 2782.62 | + | 2021.69i | 0.397403 | + | 0.288731i | ||||
\(367\) | −850.776 | + | 276.434i | −0.121009 | + | 0.0393181i | −0.368895 | − | 0.929471i | \(-0.620264\pi\) |
0.247887 | + | 0.968789i | \(0.420264\pi\) | |||||||
\(368\) | 3405.51i | 0.482404i | ||||||||
\(369\) | 875.180 | + | 2693.53i | 0.123469 | + | 0.379999i | ||||
\(370\) | −12973.5 | + | 12620.4i | −1.82287 | + | 1.77325i | ||||
\(371\) | −509.105 | + | 1566.86i | −0.0712437 | + | 0.219266i | ||||
\(372\) | 2601.77 | + | 845.366i | 0.362622 | + | 0.117823i | ||||
\(373\) | 1239.91 | + | 1706.59i | 0.172118 | + | 0.236900i | 0.886358 | − | 0.463001i | \(-0.153227\pi\) |
−0.714240 | + | 0.699901i | \(0.753227\pi\) | |||||||
\(374\) | 5921.37 | 0.818682 | ||||||||
\(375\) | −2182.01 | − | 4759.69i | −0.300476 | − | 0.655438i | ||||
\(376\) | −739.462 | −0.101422 | ||||||||
\(377\) | −7527.34 | − | 10360.5i | −1.02832 | − | 1.41537i | ||||
\(378\) | −15529.0 | − | 5045.67i | −2.11303 | − | 0.686565i | ||||
\(379\) | 667.344 | − | 2053.88i | 0.0904464 | − | 0.278365i | −0.895594 | − | 0.444873i | \(-0.853249\pi\) |
0.986040 | + | 0.166507i | \(0.0532489\pi\) | |||||||
\(380\) | −1431.19 | + | 1392.23i | −0.193206 | + | 0.187947i | ||||
\(381\) | −1378.07 | − | 4241.25i | −0.185303 | − | 0.570304i | ||||
\(382\) | − | 1964.57i | − | 0.263131i | ||||||
\(383\) | 1520.78 | − | 494.130i | 0.202893 | − | 0.0659239i | −0.205808 | − | 0.978592i | \(-0.565982\pi\) |
0.408700 | + | 0.912669i | \(0.365982\pi\) | |||||||
\(384\) | −1550.30 | − | 1126.36i | −0.206025 | − | 0.149686i | ||||
\(385\) | 5649.47 | + | 974.872i | 0.747854 | + | 0.129050i | ||||
\(386\) | 3662.95 | − | 2661.29i | 0.483003 | − | 0.350922i | ||||
\(387\) | −3282.47 | + | 4517.93i | −0.431156 | + | 0.593435i | ||||
\(388\) | −2606.41 | + | 3587.42i | −0.341032 | + | 0.469391i | ||||
\(389\) | −8141.92 | + | 5915.45i | −1.06121 | + | 0.771016i | −0.974312 | − | 0.225201i | \(-0.927696\pi\) |
−0.0868999 | + | 0.996217i | \(0.527696\pi\) | |||||||
\(390\) | −6902.81 | + | 3398.02i | −0.896250 | + | 0.441194i | ||||
\(391\) | −3700.44 | − | 2688.52i | −0.478617 | − | 0.347735i | ||||
\(392\) | −1368.90 | + | 444.783i | −0.176378 | + | 0.0573085i | ||||
\(393\) | 770.008i | 0.0988341i | ||||||||
\(394\) | 116.931 | + | 359.877i | 0.0149516 | + | 0.0460162i | ||||
\(395\) | 1235.61 | + | 2510.04i | 0.157393 | + | 0.319731i | ||||
\(396\) | 696.692 | − | 2144.20i | 0.0884093 | − | 0.272096i | ||||
\(397\) | 12486.1 | + | 4056.99i | 1.57849 | + | 0.512882i | 0.961667 | − | 0.274220i | \(-0.0884195\pi\) |
0.616823 | + | 0.787102i | \(0.288419\pi\) | |||||||
\(398\) | −3910.47 | − | 5382.30i | −0.492498 | − | 0.677866i | ||||
\(399\) | 1972.68 | 0.247513 | ||||||||
\(400\) | 4210.38 | − | 5471.02i | 0.526297 | − | 0.683878i | ||||
\(401\) | −3357.62 | −0.418133 | −0.209067 | − | 0.977901i | \(-0.567043\pi\) | ||||
−0.209067 | + | 0.977901i | \(0.567043\pi\) | |||||||
\(402\) | 4039.17 | + | 5559.44i | 0.501133 | + | 0.689751i | ||||
\(403\) | 3448.42 | + | 1120.46i | 0.426248 | + | 0.138496i | ||||
\(404\) | 588.234 | − | 1810.40i | 0.0724399 | − | 0.222947i | ||||
\(405\) | 2086.50 | + | 1099.65i | 0.255997 | + | 0.134918i | ||||
\(406\) | 9681.12 | + | 29795.4i | 1.18341 | + | 3.64217i | ||||
\(407\) | 7611.84i | 0.927039i | ||||||||
\(408\) | 1064.10 | − | 345.748i | 0.129120 | − | 0.0419536i | ||||
\(409\) | −12519.4 | − | 9095.91i | −1.51356 | − | 1.09967i | −0.964566 | − | 0.263842i | \(-0.915010\pi\) |
−0.548996 | − | 0.835825i | \(-0.684990\pi\) | |||||||
\(410\) | −7017.82 | − | 7214.20i | −0.845330 | − | 0.868985i | ||||
\(411\) | −6757.93 | + | 4909.92i | −0.811056 | + | 0.589267i | ||||
\(412\) | −3055.59 | + | 4205.66i | −0.365384 | + | 0.502908i | ||||
\(413\) | 5757.57 | − | 7924.61i | 0.685984 | − | 0.944176i | ||||
\(414\) | −2664.50 | + | 1935.88i | −0.316312 | + | 0.229814i | ||||
\(415\) | −5530.22 | + | 10493.2i | −0.654139 | + | 1.24118i | ||||
\(416\) | −9368.36 | − | 6806.51i | −1.10414 | − | 0.802204i | ||||
\(417\) | −2454.73 | + | 797.591i | −0.288270 | + | 0.0936647i | ||||
\(418\) | 1588.02i | 0.185820i | ||||||||
\(419\) | 3839.41 | + | 11816.5i | 0.447655 | + | 1.37774i | 0.879546 | + | 0.475814i | \(0.157847\pi\) |
−0.431891 | + | 0.901926i | \(0.642153\pi\) | |||||||
\(420\) | 9850.61 | − | 1421.16i | 1.14443 | − | 0.165108i | ||||
\(421\) | 5200.54 | − | 16005.6i | 0.602040 | − | 1.85289i | 0.0860563 | − | 0.996290i | \(-0.472573\pi\) |
0.515984 | − | 0.856598i | \(-0.327427\pi\) | |||||||
\(422\) | −14434.6 | − | 4690.08i | −1.66508 | − | 0.541018i | ||||
\(423\) | 1399.52 | + | 1926.27i | 0.160868 | + | 0.221415i | ||||
\(424\) | −250.599 | −0.0287032 | ||||||||
\(425\) | 2620.89 | + | 8894.17i | 0.299134 | + | 1.01513i | ||||
\(426\) | 6329.87 | 0.719914 | ||||||||
\(427\) | −3466.23 | − | 4770.86i | −0.392840 | − | 0.540698i | ||||
\(428\) | 8922.63 | + | 2899.14i | 1.00769 | + | 0.327418i | ||||
\(429\) | −999.893 | + | 3077.35i | −0.112530 | + | 0.346331i | ||||
\(430\) | 3374.64 | − | 19556.3i | 0.378464 | − | 2.19323i | ||||
\(431\) | −3856.90 | − | 11870.3i | −0.431044 | − | 1.32662i | −0.897086 | − | 0.441855i | \(-0.854320\pi\) |
0.466042 | − | 0.884763i | \(-0.345680\pi\) | |||||||
\(432\) | 8269.11i | 0.920944i | ||||||||
\(433\) | −3965.44 | + | 1288.45i | −0.440109 | + | 0.143000i | −0.520686 | − | 0.853748i | \(-0.674324\pi\) |
0.0805771 | + | 0.996748i | \(0.474324\pi\) | |||||||
\(434\) | −7176.15 | − | 5213.78i | −0.793701 | − | 0.576657i | ||||
\(435\) | −1718.29 | − | 11910.2i | −0.189393 | − | 1.31276i | ||||
\(436\) | 13085.6 | − | 9507.22i | 1.43735 | − | 1.04430i | ||||
\(437\) | 721.020 | − | 992.399i | 0.0789269 | − | 0.108634i | ||||
\(438\) | −3028.80 | + | 4168.78i | −0.330415 | + | 0.454777i | ||||
\(439\) | 11333.0 | − | 8233.91i | 1.23211 | − | 0.895178i | 0.235060 | − | 0.971981i | \(-0.424471\pi\) |
0.997046 | + | 0.0768033i | \(0.0244713\pi\) | |||||||
\(440\) | 124.520 | + | 863.098i | 0.0134915 | + | 0.0935150i | ||||
\(441\) | 3749.46 | + | 2724.14i | 0.404865 | + | 0.294152i | ||||
\(442\) | 12958.0 | − | 4210.30i | 1.39445 | − | 0.453085i | ||||
\(443\) | − | 7372.11i | − | 0.790653i | −0.918541 | − | 0.395327i | \(-0.870631\pi\) | ||
0.918541 | − | 0.395327i | \(-0.129369\pi\) | |||||||
\(444\) | 4083.47 | + | 12567.6i | 0.436470 | + | 1.34332i | ||||
\(445\) | 999.782 | − | 5793.83i | 0.106504 | − | 0.617199i | ||||
\(446\) | −6304.98 | + | 19404.7i | −0.669393 | + | 2.06018i | ||||
\(447\) | −1186.09 | − | 385.385i | −0.125504 | − | 0.0407787i | ||||
\(448\) | 9777.60 | + | 13457.7i | 1.03113 | + | 1.41923i | ||||
\(449\) | −4449.29 | −0.467650 | −0.233825 | − | 0.972279i | \(-0.575124\pi\) | ||||
−0.233825 | + | 0.972279i | \(0.575124\pi\) | |||||||
\(450\) | 6673.99 | + | 184.214i | 0.699144 | + | 0.0192977i | ||||
\(451\) | −4232.72 | −0.441932 | ||||||||
\(452\) | −246.287 | − | 338.984i | −0.0256291 | − | 0.0352754i | ||||
\(453\) | 11279.7 | + | 3664.99i | 1.16990 | + | 0.380124i | ||||
\(454\) | 469.411 | − | 1444.70i | 0.0485255 | − | 0.149346i | ||||
\(455\) | 13056.1 | − | 1883.62i | 1.34523 | − | 0.194078i | ||||
\(456\) | 92.7241 | + | 285.376i | 0.00952238 | + | 0.0293069i | ||||
\(457\) | 6349.09i | 0.649886i | 0.945734 | + | 0.324943i | \(0.105345\pi\) | ||||
−0.945734 | + | 0.324943i | \(0.894655\pi\) | |||||||
\(458\) | 4046.75 | − | 1314.87i | 0.412865 | − | 0.134148i | ||||
\(459\) | −8985.24 | − | 6528.16i | −0.913714 | − | 0.663852i | ||||
\(460\) | 2885.48 | − | 5475.00i | 0.292470 | − | 0.554942i | ||||
\(461\) | −12414.6 | + | 9019.70i | −1.25424 | + | 0.911257i | −0.998460 | − | 0.0554788i | \(-0.982331\pi\) |
−0.255778 | + | 0.966736i | \(0.582331\pi\) | |||||||
\(462\) | 4652.75 | − | 6403.97i | 0.468541 | − | 0.644891i | ||||
\(463\) | −672.343 | + | 925.400i | −0.0674868 | + | 0.0928877i | −0.841426 | − | 0.540372i | \(-0.818284\pi\) |
0.773939 | + | 0.633260i | \(0.218284\pi\) | |||||||
\(464\) | 12835.8 | − | 9325.75i | 1.28424 | − | 0.933054i | ||||
\(465\) | 2375.70 | + | 2442.18i | 0.236926 | + | 0.243556i | ||||
\(466\) | −4692.59 | − | 3409.37i | −0.466481 | − | 0.338918i | ||||
\(467\) | −10104.8 | + | 3283.25i | −1.00127 | + | 0.325334i | −0.763375 | − | 0.645956i | \(-0.776459\pi\) |
−0.237899 | + | 0.971290i | \(0.576459\pi\) | |||||||
\(468\) | − | 5187.60i | − | 0.512386i | ||||||
\(469\) | −3640.82 | − | 11205.3i | −0.358459 | − | 1.10322i | ||||
\(470\) | −7485.37 | − | 3945.01i | −0.734626 | − | 0.387169i | ||||
\(471\) | 915.349 | − | 2817.15i | 0.0895478 | − | 0.275600i | ||||
\(472\) | 1417.04 | + | 460.423i | 0.138187 | + | 0.0448997i | ||||
\(473\) | −4905.75 | − | 6752.18i | −0.476885 | − | 0.656376i | ||||
\(474\) | 3862.88 | 0.374320 | ||||||||
\(475\) | −2385.28 | + | 702.882i | −0.230409 | + | 0.0678957i | ||||
\(476\) | −17624.8 | −1.69712 | ||||||||
\(477\) | 474.288 | + | 652.801i | 0.0455265 | + | 0.0626619i | ||||
\(478\) | 17181.0 | + | 5582.45i | 1.64402 | + | 0.534175i | ||||
\(479\) | −4475.35 | + | 13773.7i | −0.426897 | + | 1.31385i | 0.474268 | + | 0.880380i | \(0.342713\pi\) |
−0.901166 | + | 0.433475i | \(0.857287\pi\) | |||||||
\(480\) | −4805.70 | − | 9762.41i | −0.456978 | − | 0.928315i | ||||
\(481\) | 5412.28 | + | 16657.3i | 0.513053 | + | 1.57902i | ||||
\(482\) | − | 1141.36i | − | 0.107858i | ||||||
\(483\) | −5815.28 | + | 1889.50i | −0.547835 | + | 0.178002i | ||||
\(484\) | −6940.57 | − | 5042.62i | −0.651819 | − | 0.473575i | ||||
\(485\) | −4954.80 | + | 2439.08i | −0.463889 | + | 0.228357i | ||||
\(486\) | −10841.0 | + | 7876.45i | −1.01185 | + | 0.735150i | ||||
\(487\) | −3465.52 | + | 4769.88i | −0.322460 | + | 0.443828i | −0.939216 | − | 0.343326i | \(-0.888446\pi\) |
0.616756 | + | 0.787154i | \(0.288446\pi\) | |||||||
\(488\) | 527.244 | − | 725.689i | 0.0489082 | − | 0.0673164i | ||||
\(489\) | 460.318 | − | 334.441i | 0.0425691 | − | 0.0309283i | ||||
\(490\) | −16229.9 | − | 2800.63i | −1.49631 | − | 0.258203i | ||||
\(491\) | 13594.4 | + | 9876.90i | 1.24950 | + | 0.907817i | 0.998193 | − | 0.0600899i | \(-0.0191387\pi\) |
0.251310 | + | 0.967907i | \(0.419139\pi\) | |||||||
\(492\) | −6988.49 | + | 2270.70i | −0.640377 | + | 0.208071i | ||||
\(493\) | 21309.7i | 1.94674i | ||||||||
\(494\) | 1129.14 | + | 3475.12i | 0.102838 | + | 0.316504i | ||||
\(495\) | 2012.67 | − | 1957.89i | 0.182753 | − | 0.177779i | ||||
\(496\) | −1388.16 | + | 4272.30i | −0.125665 | + | 0.386758i | ||||
\(497\) | −10321.5 | − | 3353.67i | −0.931558 | − | 0.302682i | ||||
\(498\) | 9626.38 | + | 13249.6i | 0.866202 | + | 1.19222i | ||||
\(499\) | 6860.80 | 0.615494 | 0.307747 | − | 0.951468i | \(-0.400425\pi\) | ||||
0.307747 | + | 0.951468i | \(0.400425\pi\) | |||||||
\(500\) | −11404.6 | + | 5228.25i | −1.02005 | + | 0.467629i | ||||
\(501\) | 6726.58 | 0.599843 | ||||||||
\(502\) | −16665.5 | − | 22938.0i | −1.48170 | − | 2.03939i | ||||
\(503\) | 11835.9 | + | 3845.71i | 1.04918 | + | 0.340898i | 0.782345 | − | 0.622846i | \(-0.214024\pi\) |
0.266831 | + | 0.963743i | \(0.414024\pi\) | |||||||
\(504\) | −426.841 | + | 1313.68i | −0.0377243 | + | 0.116103i | ||||
\(505\) | 1699.35 | − | 1653.09i | 0.149743 | − | 0.145666i | ||||
\(506\) | −1521.06 | − | 4681.34i | −0.133635 | − | 0.411286i | ||||
\(507\) | − | 786.000i | − | 0.0688510i | ||||||
\(508\) | −10162.3 | + | 3301.95i | −0.887561 | + | 0.288386i | ||||
\(509\) | 12853.9 | + | 9338.90i | 1.11933 | + | 0.813241i | 0.984107 | − | 0.177574i | \(-0.0568250\pi\) |
0.135223 | + | 0.990815i | \(0.456825\pi\) | |||||||
\(510\) | 12616.2 | + | 2177.04i | 1.09540 | + | 0.189022i | ||||
\(511\) | 7147.48 | − | 5192.95i | 0.618759 | − | 0.449555i | ||||
\(512\) | 9478.24 | − | 13045.7i | 0.818131 | − | 1.12606i | ||||
\(513\) | 1750.75 | − | 2409.70i | 0.150677 | − | 0.207389i | ||||
\(514\) | −24687.6 | + | 17936.6i | −2.11853 | + | 1.53920i | ||||
\(515\) | −5808.69 | + | 2859.42i | −0.497013 | + | 0.244663i | ||||
\(516\) | −11722.0 | − | 8516.52i | −1.00006 | − | 0.726587i | ||||
\(517\) | −3384.32 | + | 1099.63i | −0.287896 | + | 0.0935431i | ||||
\(518\) | − | 42846.8i | − | 3.63432i | ||||||
\(519\) | −1775.97 | − | 5465.88i | −0.150205 | − | 0.462284i | ||||
\(520\) | 886.183 | + | 1800.21i | 0.0747341 | + | 0.151816i | ||||
\(521\) | −602.662 | + | 1854.80i | −0.0506777 | + | 0.155970i | −0.973193 | − | 0.229991i | \(-0.926130\pi\) |
0.922515 | + | 0.385961i | \(0.126130\pi\) | |||||||
\(522\) | 14593.1 | + | 4741.59i | 1.22361 | + | 0.397574i | ||||
\(523\) | −12465.9 | − | 17157.8i | −1.04225 | − | 1.43453i | −0.895342 | − | 0.445380i | \(-0.853069\pi\) |
−0.146905 | − | 0.989151i | \(-0.546931\pi\) | |||||||
\(524\) | 1845.00 | 0.153815 | ||||||||
\(525\) | 11678.4 | + | 4154.15i | 0.970835 | + | 0.345337i | ||||
\(526\) | 19762.7 | 1.63820 | ||||||||
\(527\) | −3546.40 | − | 4881.20i | −0.293138 | − | 0.403469i | ||||
\(528\) | −3812.59 | − | 1238.78i | −0.314245 | − | 0.102105i | ||||
\(529\) | 2584.86 | − | 7955.39i | 0.212449 | − | 0.653849i | ||||
\(530\) | −2536.74 | − | 1336.94i | −0.207904 | − | 0.109571i | ||||
\(531\) | −1482.52 | − | 4562.74i | −0.121160 | − | 0.372892i | ||||
\(532\) | − | 4726.68i | − | 0.385202i | ||||||
\(533\) | −9262.63 | + | 3009.61i | −0.752737 | + | 0.244579i | ||||
\(534\) | −6567.60 | − | 4771.64i | −0.532225 | − | 0.386684i | ||||
\(535\) | 8147.33 | + | 8375.32i | 0.658392 | + | 0.676816i | ||||
\(536\) | 1449.87 | − | 1053.39i | 0.116837 | − | 0.0848872i | ||||
\(537\) | −6691.72 | + | 9210.37i | −0.537745 | + | 0.740143i | ||||
\(538\) | −4076.91 | + | 5611.39i | −0.326707 | + | 0.449673i | ||||
\(539\) | −5603.68 | + | 4071.31i | −0.447806 | + | 0.325350i | ||||
\(540\) | 7006.40 | − | 13294.2i | 0.558347 | − | 1.05942i | ||||
\(541\) | 13101.0 | + | 9518.41i | 1.04114 | + | 0.756430i | 0.970507 | − | 0.241073i | \(-0.0774993\pi\) |
0.0706293 | + | 0.997503i | \(0.477499\pi\) | |||||||
\(542\) | 15770.3 | − | 5124.07i | 1.24980 | − | 0.406084i | ||||
\(543\) | − | 13056.9i | − | 1.03190i | ||||||
\(544\) | 5954.48 | + | 18326.0i | 0.469294 | + | 1.44434i | ||||
\(545\) | 19938.0 | − | 2876.47i | 1.56706 | − | 0.226081i | ||||
\(546\) | 5628.36 | − | 17322.3i | 0.441157 | − | 1.35774i | ||||
\(547\) | 11147.3 | + | 3621.97i | 0.871340 | + | 0.283116i | 0.710357 | − | 0.703841i | \(-0.248533\pi\) |
0.160983 | + | 0.986957i | \(0.448533\pi\) | |||||||
\(548\) | 11764.5 | + | 16192.5i | 0.917073 | + | 1.26224i | ||||
\(549\) | −2888.27 | −0.224532 | ||||||||
\(550\) | −3344.12 | + | 9401.21i | −0.259261 | + | 0.728853i | ||||
\(551\) | −5714.94 | −0.441859 | ||||||||
\(552\) | −546.685 | − | 752.447i | −0.0421530 | − | 0.0580186i | ||||
\(553\) | −6298.84 | − | 2046.62i | −0.484365 | − | 0.157380i | ||||
\(554\) | −2440.47 | + | 7510.98i | −0.187158 | + | 0.576013i | ||||
\(555\) | −2798.56 | + | 16217.9i | −0.214040 | + | 1.24038i | ||||
\(556\) | 1911.08 | + | 5881.71i | 0.145770 | + | 0.448634i | ||||
\(557\) | − | 5469.05i | − | 0.416034i | −0.978125 | − | 0.208017i | \(-0.933299\pi\) | ||
0.978125 | − | 0.208017i | \(-0.0667009\pi\) | |||||||
\(558\) | −4131.79 | + | 1342.50i | −0.313464 | + | 0.101851i | ||||
\(559\) | −15536.5 | − | 11287.9i | −1.17553 | − | 0.854074i | ||||
\(560\) | 2333.65 | + | 16175.4i | 0.176097 | + | 1.22060i | ||||
\(561\) | 4355.96 | − | 3164.79i | 0.327823 | − | 0.238178i | ||||
\(562\) | −1293.09 | + | 1779.79i | −0.0970565 | + | 0.133587i | ||||
\(563\) | −7900.29 | + | 10873.8i | −0.591399 | + | 0.813991i | −0.994887 | − | 0.100994i | \(-0.967798\pi\) |
0.403488 | + | 0.914985i | \(0.367798\pi\) | |||||||
\(564\) | −4997.81 | + | 3631.12i | −0.373131 | + | 0.271095i | ||||
\(565\) | −74.5156 | − | 516.498i | −0.00554848 | − | 0.0384588i | ||||
\(566\) | −4809.16 | − | 3494.06i | −0.357145 | − | 0.259481i | ||||
\(567\) | −5310.12 | + | 1725.36i | −0.393306 | + | 0.127793i | ||||
\(568\) | − | 1650.79i | − | 0.121947i | ||||||
\(569\) | −4456.10 | − | 13714.5i | −0.328312 | − | 1.01044i | −0.969924 | − | 0.243410i | \(-0.921734\pi\) |
0.641612 | − | 0.767029i | \(-0.278266\pi\) | |||||||
\(570\) | −583.849 | + | 3383.46i | −0.0429031 | + | 0.248627i | ||||
\(571\) | −3187.96 | + | 9811.54i | −0.233646 | + | 0.719089i | 0.763652 | + | 0.645628i | \(0.223404\pi\) |
−0.997298 | + | 0.0734610i | \(0.976596\pi\) | |||||||
\(572\) | 7373.56 | + | 2395.82i | 0.538993 | + | 0.175130i | ||||
\(573\) | −1050.00 | − | 1445.20i | −0.0765522 | − | 0.105365i | ||||
\(574\) | 23825.8 | 1.73253 | ||||||||
\(575\) | 6358.34 | − | 4356.73i | 0.461150 | − | 0.315980i | ||||
\(576\) | 8147.27 | 0.589357 | ||||||||
\(577\) | 14966.0 | + | 20599.0i | 1.07980 | + | 1.48622i | 0.859742 | + | 0.510728i | \(0.170624\pi\) |
0.220057 | + | 0.975487i | \(0.429376\pi\) | |||||||
\(578\) | −2309.76 | − | 750.487i | −0.166217 | − | 0.0540071i | ||||
\(579\) | 1272.21 | − | 3915.46i | 0.0913148 | − | 0.281038i | ||||
\(580\) | −28537.7 | + | 4117.15i | −2.04304 | + | 0.294751i | ||||
\(581\) | −8677.01 | − | 26705.1i | −0.619592 | − | 1.90691i | ||||
\(582\) | 7625.29i | 0.543090i | ||||||||
\(583\) | −1146.92 | + | 372.658i | −0.0814764 | + | 0.0264733i | ||||
\(584\) | 1087.19 | + | 789.892i | 0.0770349 | + | 0.0559691i | ||||
\(585\) | 3012.28 | − | 5715.59i | 0.212893 | − | 0.403950i | ||||
\(586\) | 11903.5 | − | 8648.43i | 0.839131 | − | 0.609665i | ||||
\(587\) | 11481.1 | − | 15802.4i | 0.807286 | − | 1.11113i | −0.184450 | − | 0.982842i | \(-0.559050\pi\) |
0.991736 | − | 0.128293i | \(-0.0409497\pi\) | |||||||
\(588\) | −7067.91 | + | 9728.15i | −0.495707 | + | 0.682282i | ||||
\(589\) | 1309.06 | − | 951.088i | 0.0915771 | − | 0.0665346i | ||||
\(590\) | 11887.9 | + | 12220.6i | 0.829522 | + | 0.852734i | ||||
\(591\) | 278.362 | + | 202.242i | 0.0193744 | + | 0.0140763i | ||||
\(592\) | −20637.0 | + | 6705.37i | −1.43273 | + | 0.465522i | ||||
\(593\) | − | 12614.9i | − | 0.873582i | −0.899563 | − | 0.436791i | \(-0.856115\pi\) | ||
0.899563 | − | 0.436791i | \(-0.143885\pi\) | |||||||
\(594\) | −3693.37 | − | 11367.0i | −0.255119 | − | 0.785176i | ||||
\(595\) | −19418.6 | − | 10234.2i | −1.33796 | − | 0.705143i | ||||
\(596\) | −923.411 | + | 2841.97i | −0.0634637 | + | 0.195321i | ||||
\(597\) | −5753.35 | − | 1869.38i | −0.394420 | − | 0.128155i | ||||
\(598\) | −6657.18 | − | 9162.82i | −0.455238 | − | 0.626581i | ||||
\(599\) | −662.584 | −0.0451961 | −0.0225981 | − | 0.999745i | \(-0.507194\pi\) | ||||
−0.0225981 | + | 0.999745i | \(0.507194\pi\) | |||||||
\(600\) | −52.0215 | + | 1884.71i | −0.00353961 | + | 0.128238i | ||||
\(601\) | −9643.41 | −0.654514 | −0.327257 | − | 0.944935i | \(-0.606124\pi\) | ||||
−0.327257 | + | 0.944935i | \(0.606124\pi\) | |||||||
\(602\) | 27614.3 | + | 38007.8i | 1.86956 | + | 2.57323i | ||||
\(603\) | −5488.10 | − | 1783.19i | −0.370634 | − | 0.120426i | ||||
\(604\) | 8781.57 | − | 27026.9i | 0.591585 | − | 1.82071i | ||||
\(605\) | −4718.89 | − | 9586.05i | −0.317107 | − | 0.644179i | ||||
\(606\) | −1011.54 | − | 3113.19i | −0.0678067 | − | 0.208688i | ||||
\(607\) | − | 18733.3i | − | 1.25265i | −0.779560 | − | 0.626327i | \(-0.784557\pi\) | ||
0.779560 | − | 0.626327i | \(-0.215443\pi\) | |||||||
\(608\) | −4914.75 | + | 1596.90i | −0.327828 | + | 0.106518i | ||||
\(609\) | 23046.5 | + | 16744.3i | 1.53348 | + | 1.11414i | ||||
\(610\) | 9208.68 | − | 4533.12i | 0.611227 | − | 0.300886i | ||||
\(611\) | −6624.16 | + | 4812.73i | −0.438600 | + | 0.318662i | ||||
\(612\) | −5073.88 | + | 6983.60i | −0.335130 | + | 0.461267i | ||||
\(613\) | 12241.1 | − | 16848.4i | 0.806547 | − | 1.11012i | −0.185299 | − | 0.982682i | \(-0.559326\pi\) |
0.991847 | − | 0.127435i | \(-0.0406745\pi\) | |||||||
\(614\) | −847.247 | + | 615.561i | −0.0556875 | + | 0.0404593i | ||||
\(615\) | −9018.31 | − | 1556.20i | −0.591306 | − | 0.102036i | ||||
\(616\) | −1670.12 | − | 1213.41i | −0.109238 | − | 0.0793664i | ||||
\(617\) | 7351.50 | − | 2388.65i | 0.479676 | − | 0.155856i | −0.0591916 | − | 0.998247i | \(-0.518852\pi\) |
0.538868 | + | 0.842390i | \(0.318852\pi\) | |||||||
\(618\) | 8939.40i | 0.581870i | ||||||||
\(619\) | 6894.63 | + | 21219.5i | 0.447688 | + | 1.37784i | 0.879509 | + | 0.475882i | \(0.157871\pi\) |
−0.431822 | + | 0.901959i | \(0.642129\pi\) | |||||||
\(620\) | 5851.64 | − | 5692.35i | 0.379044 | − | 0.368726i | ||||
\(621\) | −2852.96 | + | 8780.50i | −0.184356 | + | 0.567390i | ||||
\(622\) | −31648.6 | − | 10283.3i | −2.04018 | − | 0.662896i | ||||
\(623\) | 8181.09 | + | 11260.3i | 0.526113 | + | 0.724133i | ||||
\(624\) | −9224.04 | −0.591759 | ||||||||
\(625\) | −15601.2 | − | 861.901i | −0.998477 | − | 0.0551617i | ||||
\(626\) | −2824.45 | −0.180332 | ||||||||
\(627\) | 848.747 | + | 1168.20i | 0.0540601 | + | 0.0744074i | ||||
\(628\) | −6750.10 | − | 2193.24i | −0.428915 | − | 0.139363i | ||||
\(629\) | 9006.07 | − | 27717.8i | 0.570899 | − | 1.75705i | ||||
\(630\) | −11329.3 | + | 11020.9i | −0.716458 | + | 0.696955i | ||||
\(631\) | −3369.80 | − | 10371.2i | −0.212599 | − | 0.654311i | −0.999315 | − | 0.0369969i | \(-0.988221\pi\) |
0.786717 | − | 0.617314i | \(-0.211779\pi\) | |||||||
\(632\) | − | 1007.41i | − | 0.0634063i | ||||||
\(633\) | −13125.3 | + | 4264.66i | −0.824143 | + | 0.267780i | ||||
\(634\) | 15261.6 | + | 11088.2i | 0.956017 | + | 0.694587i | ||||
\(635\) | −13114.0 | − | 2262.95i | −0.819549 | − | 0.141421i | ||||
\(636\) | −1693.73 | + | 1230.56i | −0.105598 | + | 0.0767217i | ||||
\(637\) | −9367.89 | + | 12893.8i | −0.582684 | + | 0.801995i | ||||
\(638\) | −13479.2 | + | 18552.6i | −0.836439 | + | 1.15126i | ||||
\(639\) | −4300.26 | + | 3124.32i | −0.266222 | + | 0.193421i | ||||
\(640\) | −5130.51 | + | 2525.58i | −0.316877 | + | 0.155988i | ||||
\(641\) | 14924.6 | + | 10843.4i | 0.919635 | + | 0.668154i | 0.943433 | − | 0.331563i | \(-0.107576\pi\) |
−0.0237979 | + | 0.999717i | \(0.507576\pi\) | |||||||
\(642\) | 15343.5 | − | 4985.41i | 0.943239 | − | 0.306477i | ||||
\(643\) | 13279.7i | 0.814462i | 0.913325 | + | 0.407231i | \(0.133506\pi\) | ||||
−0.913325 | + | 0.407231i | \(0.866494\pi\) | |||||||
\(644\) | 4527.38 | + | 13933.8i | 0.277024 | + | 0.852593i | ||||
\(645\) | −7969.77 | − | 16189.9i | −0.486526 | − | 0.988339i | ||||
\(646\) | 1878.89 | − | 5782.63i | 0.114433 | − | 0.352190i | ||||
\(647\) | −14829.3 | − | 4818.32i | −0.901080 | − | 0.292779i | −0.178397 | − | 0.983959i | \(-0.557091\pi\) |
−0.722683 | + | 0.691180i | \(0.757091\pi\) | |||||||
\(648\) | −499.196 | − | 687.084i | −0.0302628 | − | 0.0416531i | ||||
\(649\) | 7170.08 | 0.433667 | ||||||||
\(650\) | −633.484 | + | 22950.8i | −0.0382266 | + | 1.38493i | ||||
\(651\) | −8065.62 | −0.485586 | ||||||||
\(652\) | −801.344 | − | 1102.95i | −0.0481335 | − | 0.0662501i | ||||
\(653\) | 12519.9 | + | 4067.98i | 0.750296 | + | 0.243786i | 0.659109 | − | 0.752048i | \(-0.270934\pi\) |
0.0911876 | + | 0.995834i | \(0.470934\pi\) | |||||||
\(654\) | 8595.06 | − | 26452.9i | 0.513904 | − | 1.58163i | ||||
\(655\) | 2032.78 | + | 1071.33i | 0.121263 | + | 0.0639091i | ||||
\(656\) | −3728.66 | − | 11475.6i | −0.221920 | − | 0.683000i | ||||
\(657\) | − | 4327.07i | − | 0.256948i | ||||||
\(658\) | 19050.2 | − | 6189.79i | 1.12865 | − | 0.366722i | ||||
\(659\) | 3206.77 | + | 2329.85i | 0.189557 | + | 0.137721i | 0.678516 | − | 0.734586i | \(-0.262623\pi\) |
−0.488959 | + | 0.872307i | \(0.662623\pi\) | |||||||
\(660\) | 5079.83 | + | 5221.98i | 0.299594 | + | 0.307978i | ||||
\(661\) | −18655.1 | + | 13553.7i | −1.09773 | + | 0.797548i | −0.980688 | − | 0.195579i | \(-0.937341\pi\) |
−0.117043 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(662\) | −17924.7 | + | 24671.3i | −1.05236 | + | 1.44845i | ||||
\(663\) | 7282.04 | − | 10022.9i | 0.426563 | − | 0.587113i | ||||
\(664\) | 3455.41 | − | 2510.50i | 0.201952 | − | 0.146726i | ||||
\(665\) | 2744.64 | − | 5207.77i | 0.160049 | − | 0.303682i | ||||
\(666\) | −16977.5 | − | 12334.9i | −0.987786 | − | 0.717669i | ||||
\(667\) | 16847.1 | − | 5473.96i | 0.977996 | − | 0.317770i | ||||
\(668\) | − | 16117.4i | − | 0.933532i | ||||||
\(669\) | 5733.07 | + | 17644.6i | 0.331321 | + | 1.01970i | ||||
\(670\) | 20296.4 | − | 2928.18i | 1.17033 | − | 0.168844i | ||||
\(671\) | 1333.90 | − | 4105.34i | 0.0767434 | − | 0.236192i | ||||
\(672\) | 24498.3 | + | 7959.99i | 1.40632 | + | 0.456940i | ||||
\(673\) | 9288.82 | + | 12785.0i | 0.532032 | + | 0.732279i | 0.987438 | − | 0.158004i | \(-0.0505060\pi\) |
−0.455406 | + | 0.890284i | \(0.650506\pi\) | |||||||
\(674\) | −5626.53 | −0.321552 | ||||||||
\(675\) | 15439.0 | − | 10578.8i | 0.880369 | − | 0.603228i | ||||
\(676\) | −1883.31 | −0.107153 | ||||||||
\(677\) | 13063.6 | + | 17980.5i | 0.741616 | + | 1.02075i | 0.998524 | + | 0.0543109i | \(0.0172962\pi\) |
−0.256908 | + | 0.966436i | \(0.582704\pi\) | |||||||
\(678\) | −685.267 | − | 222.657i | −0.0388164 | − | 0.0126122i | ||||
\(679\) | 4040.01 | − | 12433.9i | 0.228338 | − | 0.702751i | ||||
\(680\) | 567.760 | − | 3290.22i | 0.0320185 | − | 0.185550i | ||||
\(681\) | −426.832 | − | 1313.65i | −0.0240180 | − | 0.0739198i | ||||
\(682\) | − | 6492.88i | − | 0.364553i | ||||||
\(683\) | 3031.22 | − | 984.903i | 0.169819 | − | 0.0551775i | −0.222873 | − | 0.974847i | \(-0.571544\pi\) |
0.392692 | + | 0.919670i | \(0.371544\pi\) | |||||||
\(684\) | −1872.89 | − | 1360.74i | −0.104696 | − | 0.0760658i | ||||
\(685\) | 3559.43 | + | 24671.9i | 0.198539 | + | 1.37615i | ||||
\(686\) | 1281.13 | − | 930.798i | 0.0713030 | − | 0.0518047i | ||||
\(687\) | 2274.17 | − | 3130.12i | 0.126295 | − | 0.173831i | ||||
\(688\) | 13984.8 | − | 19248.4i | 0.774949 | − | 1.06663i | ||||
\(689\) | −2244.88 | + | 1631.00i | −0.124127 | + | 0.0901833i | ||||
\(690\) | −1519.66 | − | 10533.4i | −0.0838440 | − | 0.581157i | ||||
\(691\) | −14136.7 | − | 10270.9i | −0.778271 | − | 0.565447i | 0.126189 | − | 0.992006i | \(-0.459725\pi\) |
−0.904459 | + | 0.426560i | \(0.859725\pi\) | |||||||
\(692\) | −13096.6 | + | 4255.36i | −0.719450 | + | 0.233764i | ||||
\(693\) | 6647.12i | 0.364362i | ||||||||
\(694\) | −13462.4 | − | 41433.1i | −0.736350 | − | 2.26625i | ||||
\(695\) | −1309.74 | + | 7590.07i | −0.0714839 | + | 0.414256i | ||||
\(696\) | −1339.01 | + | 4121.05i | −0.0729239 | + | 0.224437i | ||||
\(697\) | 15413.1 | + | 5008.01i | 0.837607 | + | 0.272155i | ||||
\(698\) | −3173.97 | − | 4368.59i | −0.172115 | − | 0.236896i | ||||
\(699\) | −5274.23 | −0.285393 | ||||||||
\(700\) | 9953.65 | − | 27982.4i | 0.537447 | − | 1.51091i | ||||
\(701\) | 16491.0 | 0.888526 | 0.444263 | − | 0.895896i | \(-0.353466\pi\) | ||||
0.444263 | + | 0.895896i | \(0.353466\pi\) | |||||||
\(702\) | −16164.7 | − | 22248.8i | −0.869083 | − | 1.19619i | ||||
\(703\) | 7433.49 | + | 2415.29i | 0.398804 | + | 0.129579i | ||||
\(704\) | −3762.70 | + | 11580.4i | −0.201437 | + | 0.619961i | ||||
\(705\) | −7614.98 | + | 1098.62i | −0.406804 | + | 0.0586899i | ||||
\(706\) | 5453.37 | + | 16783.7i | 0.290709 | + | 0.894709i | ||||
\(707\) | 5612.32i | 0.298548i | ||||||||
\(708\) | 11838.2 | − | 3846.48i | 0.628402 | − | 0.204180i | ||||
\(709\) | 14071.7 | + | 10223.7i | 0.745380 | + | 0.541550i | 0.894391 | − | 0.447285i | \(-0.147609\pi\) |
−0.149011 | + | 0.988835i | \(0.547609\pi\) | |||||||
\(710\) | 8806.92 | − | 16710.5i | 0.465518 | − | 0.883288i | ||||
\(711\) | −2624.28 | + | 1906.65i | −0.138422 | + | 0.100570i | ||||
\(712\) | −1244.42 | + | 1712.79i | −0.0655006 | + | 0.0901539i | ||||
\(713\) | −2948.01 | + | 4057.58i | −0.154844 | + | 0.213124i | ||||
\(714\) | −24519.5 | + | 17814.5i | −1.28518 | + | 0.933740i | ||||
\(715\) | 6732.87 | + | 6921.27i | 0.352161 | + | 0.362015i | ||||
\(716\) | 22068.7 | + | 16033.9i | 1.15188 | + | 0.836890i | ||||
\(717\) | 15622.6 | − | 5076.09i | 0.813719 | − | 0.264393i | ||||
\(718\) | 1577.02i | 0.0819691i | ||||||||
\(719\) | −345.403 | − | 1063.04i | −0.0179157 | − | 0.0551388i | 0.941699 | − | 0.336457i | \(-0.109229\pi\) |
−0.959615 | + | 0.281318i | \(0.909229\pi\) | |||||||
\(720\) | 7081.15 | + | 3731.97i | 0.366526 | + | 0.193170i | ||||
\(721\) | 4736.25 | − | 14576.7i | 0.244642 | − | 0.752931i | ||||
\(722\) | −25327.3 | − | 8229.34i | −1.30552 | − | 0.424189i | ||||
\(723\) | −610.019 | − | 839.620i | −0.0313788 | − | 0.0431892i | ||||
\(724\) | −31285.2 | −1.60595 | ||||||||
\(725\) | −33832.9 | − | 12034.8i | −1.73314 | − | 0.616497i | ||||
\(726\) | −14752.6 | −0.754162 | ||||||||
\(727\) | −14331.2 | − | 19725.2i | −0.731108 | − | 1.00628i | −0.999081 | − | 0.0428572i | \(-0.986354\pi\) |
0.267973 | − | 0.963426i | \(-0.413646\pi\) | |||||||
\(728\) | −4517.55 | − | 1467.84i | −0.229989 | − | 0.0747278i | ||||
\(729\) | −5525.37 | + | 17005.3i | −0.280718 | + | 0.863961i | ||||
\(730\) | 6791.31 | + | 13796.0i | 0.344326 | + | 0.699470i | ||||
\(731\) | 9874.89 | + | 30391.8i | 0.499639 | + | 1.53773i | ||||
\(732\) | − | 7493.75i | − | 0.378384i | ||||||
\(733\) | −26041.7 | + | 8461.46i | −1.31224 | + | 0.426373i | −0.879823 | − | 0.475301i | \(-0.842339\pi\) |
−0.432417 | + | 0.901674i | \(0.642339\pi\) | |||||||
\(734\) | 2981.93 | + | 2166.50i | 0.149953 | + | 0.108947i | ||||
\(735\) | −13436.1 | + | 6614.15i | −0.674285 | + | 0.331928i | ||||
\(736\) | 12958.7 | − | 9415.02i | 0.648998 | − | 0.471525i | ||||
\(737\) | 5069.19 | − | 6977.15i | 0.253360 | − | 0.348720i | ||||
\(738\) | 6859.07 | − | 9440.70i | 0.342122 | − | 0.470890i | ||||
\(739\) | −12941.1 | + | 9402.24i | −0.644175 | + | 0.468020i | −0.861282 | − | 0.508127i | \(-0.830338\pi\) |
0.217107 | + | 0.976148i | \(0.430338\pi\) | |||||||
\(740\) | 38859.3 | + | 6705.55i | 1.93040 | + | 0.333109i | ||||
\(741\) | 2687.98 | + | 1952.93i | 0.133259 | + | 0.0968187i | ||||
\(742\) | 6455.99 | − | 2097.68i | 0.319416 | − | 0.103785i | ||||
\(743\) | 13607.9i | 0.671906i | 0.941879 | + | 0.335953i | \(0.109058\pi\) | ||||
−0.941879 | + | 0.335953i | \(0.890942\pi\) | |||||||
\(744\) | −379.118 | − | 1166.80i | −0.0186816 | − | 0.0574961i | ||||
\(745\) | −2667.64 | + | 2595.02i | −0.131188 | + | 0.127617i | ||||
\(746\) | 2685.87 | − | 8266.26i | 0.131819 | − | 0.405696i | ||||
\(747\) | −13079.5 | − | 4249.80i | −0.640637 | − | 0.208155i | ||||
\(748\) | −7583.07 | − | 10437.2i | −0.370674 | − | 0.510190i | ||||
\(749\) | −27660.6 | −1.34939 | ||||||||
\(750\) | −10581.5 | + | 18800.9i | −0.515174 | + | 0.915348i | ||||
\(751\) | 29048.3 | 1.41143 | 0.705717 | − | 0.708493i | \(-0.250625\pi\) | ||||
0.705717 | + | 0.708493i | \(0.250625\pi\) | |||||||
\(752\) | −5962.58 | − | 8206.79i | −0.289139 | − | 0.397966i | ||||
\(753\) | −24519.3 | − | 7966.82i | −1.18663 | − | 0.385560i | ||||
\(754\) | −16305.6 | + | 50183.5i | −0.787553 | + | 2.42384i | ||||
\(755\) | 25369.1 | − | 24678.5i | 1.22288 | − | 1.18959i | ||||
\(756\) | 10993.2 | + | 33833.5i | 0.528860 | + | 1.62766i | ||||
\(757\) | − | 12825.4i | − | 0.615782i | −0.951422 | − | 0.307891i | \(-0.900377\pi\) | ||
0.951422 | − | 0.307891i | \(-0.0996232\pi\) | |||||||
\(758\) | −8462.63 | + | 2749.68i | −0.405510 | + | 0.131758i | ||||
\(759\) | −3620.97 | − | 2630.79i | −0.173166 | − | 0.125812i | ||||
\(760\) | 882.386 | + | 152.264i | 0.0421151 | + | 0.00726738i | ||||
\(761\) | 14330.7 | − | 10411.9i | 0.682638 | − | 0.495966i | −0.191594 | − | 0.981474i | \(-0.561366\pi\) |
0.874232 | + | 0.485509i | \(0.161366\pi\) | |||||||
\(762\) | −10800.4 | + | 14865.4i | −0.513459 | + | 0.706715i | ||||
\(763\) | −28030.4 | + | 38580.5i | −1.32997 | + | 1.83055i | ||||
\(764\) | −3462.81 | + | 2515.88i | −0.163979 | + | 0.119138i | ||||
\(765\) | −9645.47 | + | 4748.14i | −0.455860 | + | 0.224404i | ||||
\(766\) | −5330.25 | − | 3872.66i | −0.251423 | − | 0.182669i | ||||
\(767\) | 15690.5 | − | 5098.17i | 0.738661 | − | 0.240005i | ||||
\(768\) | − | 10942.0i | − | 0.514110i | ||||||
\(769\) | 635.990 | + | 1957.38i | 0.0298236 | + | 0.0917877i | 0.964860 | − | 0.262763i | \(-0.0846338\pi\) |
−0.935037 | + | 0.354551i | \(0.884634\pi\) | |||||||
\(770\) | −10432.6 | − | 21193.0i | −0.488267 | − | 0.991875i | ||||
\(771\) | −8574.48 | + | 26389.5i | −0.400522 | + | 1.23268i | ||||
\(772\) | −9381.73 | − | 3048.31i | −0.437378 | − | 0.142113i | ||||
\(773\) | −8418.84 | − | 11587.5i | −0.391726 | − | 0.539165i | 0.566917 | − | 0.823775i | \(-0.308136\pi\) |
−0.958643 | + | 0.284610i | \(0.908136\pi\) | |||||||
\(774\) | 23009.8 | 1.06857 | ||||||||
\(775\) | 9752.60 | − | 2873.85i | 0.452030 | − | 0.133202i | ||||
\(776\) | 1988.63 | 0.0919944 | ||||||||
\(777\) | −22900.3 | − | 31519.5i | −1.05733 | − | 1.45529i | ||||
\(778\) | 39437.3 | + | 12813.9i | 1.81735 | + | 0.590491i | ||||
\(779\) | −1343.07 | + | 4133.55i | −0.0617721 | + | 0.190115i | ||||
\(780\) | 14829.4 | + | 7815.52i | 0.680740 | + | 0.358770i | ||||
\(781\) | −2454.84 | − | 7555.23i | −0.112473 | − | 0.346156i | ||||
\(782\) | 18846.3i | 0.861820i | ||||||||
\(783\) | 40907.4 | − | 13291.6i | 1.86707 | − | 0.606646i | ||||
\(784\) | −15974.4 | − | 11606.0i | −0.727695 | − | 0.528701i | ||||
\(785\) | −6163.58 | − | 6336.05i | −0.280239 | − | 0.288081i | ||||
\(786\) | 2566.76 | − | 1864.86i | 0.116480 | − | 0.0846276i | ||||
\(787\) | 14804.9 | − | 20377.1i | 0.670567 | − | 0.922956i | −0.329206 | − | 0.944258i | \(-0.606781\pi\) |
0.999773 | + | 0.0213017i | \(0.00678105\pi\) | |||||||
\(788\) | 484.586 | − | 666.975i | 0.0219069 | − | 0.0301523i | ||||
\(789\) | 14538.1 | − | 10562.5i | 0.655982 | − | 0.476599i | ||||
\(790\) | 5374.53 | − | 10197.8i | 0.242047 | − | 0.459267i | ||||
\(791\) | 999.436 | + | 726.133i | 0.0449252 | + | 0.0326401i | ||||
\(792\) | −961.599 | + | 312.442i | −0.0431426 | + | 0.0140179i | ||||
\(793\) | − | 9932.31i | − | 0.444775i | ||||||
\(794\) | −16716.1 | − | 51446.9i | −0.747144 | − | 2.29947i | ||||
\(795\) | −2580.66 | + | 372.315i | −0.115128 | + | 0.0166096i | ||||
\(796\) | −4479.16 | + | 13785.4i | −0.199447 | + | 0.613834i | ||||
\(797\) | −10935.0 | − | 3553.00i | −0.485995 | − | 0.157909i | 0.0557627 | − | 0.998444i | \(-0.482241\pi\) |
−0.541758 | + | 0.840535i | \(0.682241\pi\) | |||||||
\(798\) | −4777.57 | − | 6575.76i | −0.211935 | − | 0.291703i | ||||
\(799\) | 13624.7 | 0.603265 | ||||||||
\(800\) | −32458.5 | − | 895.915i | −1.43448 | − | 0.0395942i | ||||
\(801\) | 6816.97 | 0.300706 | ||||||||
\(802\) | 8131.70 | + | 11192.3i | 0.358030 | + | 0.492787i | ||||
\(803\) | 6150.42 | + | 1998.39i | 0.270291 | + | 0.0878229i | ||||
\(804\) | 4626.58 | − | 14239.1i | 0.202944 | − | 0.624596i | ||||
\(805\) | −3102.79 | + | 17980.9i | −0.135850 | + | 0.787260i | ||||
\(806\) | −4616.66 | − | 14208.6i | −0.201755 | − | 0.620939i | ||||
\(807\) | 6306.91i | 0.275110i | ||||||||
\(808\) | −811.901 | + | 263.803i | −0.0353497 | + | 0.0114858i | ||||
\(809\) | 1971.05 | + | 1432.05i | 0.0856593 | + | 0.0622351i | 0.629791 | − | 0.776765i | \(-0.283141\pi\) |
−0.544131 | + | 0.839000i | \(0.683141\pi\) | |||||||
\(810\) | −1387.65 | − | 9618.36i | −0.0601939 | − | 0.417228i | ||||
\(811\) | −24879.8 | + | 18076.2i | −1.07725 | + | 0.782666i | −0.977201 | − | 0.212317i | \(-0.931899\pi\) |
−0.100047 | + | 0.994983i | \(0.531899\pi\) | |||||||
\(812\) | 40120.5 | − | 55221.1i | 1.73393 | − | 2.38655i | ||||
\(813\) | 8862.48 | − | 12198.2i | 0.382313 | − | 0.526209i | ||||
\(814\) | 25373.4 | − | 18434.9i | 1.09255 | − | 0.793786i | ||||
\(815\) | −242.452 | − | 1680.53i | −0.0104205 | − | 0.0722287i | ||||
\(816\) | 12417.5 | + | 9021.85i | 0.532720 | + | 0.387044i | ||||
\(817\) | −8150.60 | + | 2648.29i | −0.349025 | + | 0.113405i | ||||
\(818\) | 63761.6i | 2.72539i | ||||||||
\(819\) | 4726.33 | + | 14546.1i | 0.201650 | + | 0.620614i | ||||
\(820\) | −3728.76 | + | 21608.5i | −0.158798 | + | 0.920247i | ||||
\(821\) | 3820.85 | − | 11759.4i | 0.162422 | − | 0.499885i | −0.836415 | − | 0.548097i | \(-0.815352\pi\) |
0.998837 | + | 0.0482124i | \(0.0153524\pi\) | |||||||
\(822\) | 32733.6 | + | 10635.8i | 1.38895 | + | 0.451297i | ||||
\(823\) | 3253.78 | + | 4478.45i | 0.137813 | + | 0.189683i | 0.872345 | − | 0.488891i | \(-0.162598\pi\) |
−0.734532 | + | 0.678574i | \(0.762598\pi\) | |||||||
\(824\) | 2331.34 | 0.0985633 | ||||||||
\(825\) | 2564.61 | + | 8703.18i | 0.108228 | + | 0.367280i | ||||
\(826\) | −40360.1 | −1.70013 | ||||||||
\(827\) | 12038.4 | + | 16569.4i | 0.506185 | + | 0.696703i | 0.983270 | − | 0.182154i | \(-0.0583068\pi\) |
−0.477085 | + | 0.878857i | \(0.658307\pi\) | |||||||
\(828\) | 6824.47 | + | 2217.41i | 0.286433 | + | 0.0930678i | ||||
\(829\) | −9881.86 | + | 30413.2i | −0.414006 | + | 1.27418i | 0.499130 | + | 0.866527i | \(0.333653\pi\) |
−0.913137 | + | 0.407653i | \(0.866347\pi\) | |||||||
\(830\) | 48371.6 | − | 6978.61i | 2.02290 | − | 0.291845i | ||||
\(831\) | 2219.10 | + | 6829.68i | 0.0926350 | + | 0.285101i | ||||
\(832\) | 28017.2i | 1.16745i | ||||||||
\(833\) | 25222.3 | − | 8195.23i | 1.04910 | − | 0.340874i | ||||
\(834\) | 8603.73 | + | 6250.98i | 0.357222 | + | 0.259537i | ||||
\(835\) | 9358.87 | − | 17757.8i | 0.387877 | − | 0.735969i | ||||
\(836\) | 2799.09 | − | 2033.66i | 0.115800 | − | 0.0841335i | ||||
\(837\) | −7158.22 | + | 9852.45i | −0.295609 | + | 0.406870i | ||||
\(838\) | 30090.7 | − | 41416.3i | 1.24041 | − | 1.70728i | ||||
\(839\) | 11465.9 | − | 8330.46i | 0.471808 | − | 0.342788i | −0.326338 | − | 0.945253i | \(-0.605815\pi\) |
0.798145 | + | 0.602465i | \(0.205815\pi\) | |||||||
\(840\) | −3112.25 | − | 3199.34i | −0.127837 | − | 0.131414i | ||||
\(841\) | −47035.6 | − | 34173.4i | −1.92856 | − | 1.40118i | ||||
\(842\) | −65948.4 | + | 21427.9i | −2.69921 | + | 0.877025i | ||||
\(843\) | 2000.39i | 0.0817284i | ||||||||
\(844\) | 10218.4 | + | 31449.1i | 0.416745 | + | 1.28261i | ||||
\(845\) | −2075.00 | − | 1093.58i | −0.0844758 | − | 0.0445212i | ||||
\(846\) | 3031.62 | − | 9330.36i | 0.123202 | − | 0.379178i | ||||
\(847\) | 24055.8 | + | 7816.19i | 0.975875 | + | 0.317081i | ||||
\(848\) | −2020.68 | − | 2781.23i | −0.0818283 | − | 0.112627i | ||||
\(849\) | −5405.25 | −0.218501 | ||||||||
\(850\) | 23300.5 | − | 30277.0i | 0.940236 | − | 1.22176i | ||||
\(851\) | −24226.7 | −0.975888 | ||||||||
\(852\) | −8106.20 | − | 11157.2i | −0.325955 | − | 0.448639i | ||||
\(853\) | −32931.0 | − | 10699.9i | −1.32185 | − | 0.429494i | −0.438717 | − | 0.898625i | \(-0.644567\pi\) |
−0.883128 | + | 0.469131i | \(0.844567\pi\) | |||||||
\(854\) | −7508.50 | + | 23108.8i | −0.300861 | + | 0.925956i | ||||
\(855\) | −1273.38 | − | 2586.76i | −0.0509340 | − | 0.103468i | ||||
\(856\) | −1300.16 | − | 4001.49i | −0.0519143 | − | 0.159776i | ||||
\(857\) | 18153.2i | 0.723573i | 0.932261 | + | 0.361787i | \(0.117833\pi\) | ||||
−0.932261 | + | 0.361787i | \(0.882167\pi\) | |||||||
\(858\) | 12679.7 | − | 4119.88i | 0.504520 | − | 0.163928i | ||||
\(859\) | −9103.82 | − | 6614.31i | −0.361604 | − | 0.262721i | 0.392117 | − | 0.919916i | \(-0.371743\pi\) |
−0.753721 | + | 0.657195i | \(0.771743\pi\) | |||||||
\(860\) | −38792.3 | + | 19096.1i | −1.53815 | + | 0.757178i | ||||
\(861\) | 17527.1 | − | 12734.2i | 0.693753 | − | 0.504041i | ||||
\(862\) | −30227.7 | + | 41604.9i | −1.19439 | + | 1.64393i | ||||
\(863\) | −3397.50 | + | 4676.26i | −0.134012 | + | 0.184452i | −0.870749 | − | 0.491728i | \(-0.836366\pi\) |
0.736737 | + | 0.676179i | \(0.236366\pi\) | |||||||
\(864\) | 31465.6 | − | 22861.1i | 1.23899 | − | 0.900175i | ||||
\(865\) | −16900.6 | − | 2916.36i | −0.664320 | − | 0.114635i | ||||
\(866\) | 13898.7 | + | 10098.0i | 0.545378 | + | 0.396240i | ||||
\(867\) | −2100.25 | + | 682.412i | −0.0822701 | + | 0.0267312i | ||||
\(868\) | 19325.8i | 0.755715i | ||||||||
\(869\) | −1498.10 | − | 4610.67i | −0.0584804 | − | 0.179984i | ||||
\(870\) | −35540.1 | + | 34572.7i | −1.38497 | + | 1.34727i | ||||
\(871\) | 6132.12 | − | 18872.7i | 0.238552 | − | 0.734188i | ||||
\(872\) | −6898.75 | − | 2241.54i | −0.267914 | − | 0.0870505i | ||||
\(873\) | −3763.72 | − | 5180.31i | −0.145914 | − | 0.200833i | ||||
\(874\) | −5054.29 | −0.195611 | ||||||||
\(875\) | 27215.3 | − | 25050.6i | 1.05148 | − | 0.967847i | ||||
\(876\) | 11226.8 | 0.433012 | ||||||||
\(877\) | 4802.82 | + | 6610.52i | 0.184926 | + | 0.254528i | 0.891407 | − | 0.453203i | \(-0.149719\pi\) |
−0.706482 | + | 0.707731i | \(0.749719\pi\) | |||||||
\(878\) | −54894.0 | − | 17836.2i | −2.11000 | − | 0.685582i | ||||
\(879\) | 4134.33 | − | 12724.2i | 0.158643 | − | 0.488254i | ||||
\(880\) | −8574.88 | + | 8341.47i | −0.328476 | + | 0.319535i | ||||
\(881\) | 4845.20 | + | 14912.0i | 0.185288 | + | 0.570259i | 0.999953 | − | 0.00967301i | \(-0.00307906\pi\) |
−0.814665 | + | 0.579932i | \(0.803079\pi\) | |||||||
\(882\) | − | 19096.0i | − | 0.729020i | ||||||
\(883\) | −5689.20 | + | 1848.53i | −0.216825 | + | 0.0704508i | −0.415415 | − | 0.909632i | \(-0.636364\pi\) |
0.198590 | + | 0.980083i | \(0.436364\pi\) | |||||||
\(884\) | −24015.5 | − | 17448.3i | −0.913721 | − | 0.663857i | ||||
\(885\) | 15276.7 | + | 2636.14i | 0.580248 | + | 0.100128i | ||||
\(886\) | −24574.3 | + | 17854.3i | −0.931816 | + | 0.677004i | ||||
\(887\) | −14454.3 | + | 19894.7i | −0.547158 | + | 0.753099i | −0.989623 | − | 0.143687i | \(-0.954104\pi\) |
0.442465 | + | 0.896786i | \(0.354104\pi\) | |||||||
\(888\) | 3483.33 | − | 4794.39i | 0.131636 | − | 0.181182i | ||||
\(889\) | 25487.1 | − | 18517.5i | 0.961541 | − | 0.698600i | ||||
\(890\) | −21734.6 | + | 10699.2i | −0.818589 | + | 0.402964i | ||||
\(891\) | −3306.43 | − | 2402.26i | −0.124320 | − | 0.0903241i | ||||
\(892\) | 42277.7 | − | 13736.9i | 1.58695 | − | 0.515632i | ||||
\(893\) | 3653.94i | 0.136926i | ||||||||
\(894\) | 1587.91 | + | 4887.09i | 0.0594046 | + | 0.182829i | ||||
\(895\) | 15004.5 | + | 30480.4i | 0.560385 | + | 1.13838i | ||||
\(896\) | 4183.27 | − | 12874.8i | 0.155975 | − | 0.480041i | ||||
\(897\) | −9794.49 | − | 3182.42i | −0.364580 | − | 0.118459i | ||||
\(898\) | 10775.6 | + | 14831.3i | 0.400430 | + | 0.551145i | ||||
\(899\) | 23366.5 | 0.866869 | ||||||||
\(900\) | −8222.18 | − | 11999.7i | −0.304525 | − | 0.444433i | ||||
\(901\) | 4617.34 | 0.170728 | ||||||||
\(902\) | 10251.1 | + | 14109.4i | 0.378408 | + | 0.520834i | ||||
\(903\) | 40628.0 | + | 13200.8i | 1.49725 | + | 0.486485i | ||||
\(904\) | −58.0676 | + | 178.714i | −0.00213639 | + | 0.00657514i | ||||
\(905\) | −34469.4 | − | 18166.4i | −1.26608 | − | 0.667261i | ||||
\(906\) | −15100.9 | − | 46475.9i | −0.553747 | − | 1.70426i | ||||
\(907\) | 2239.16i | 0.0819737i | 0.999160 | + | 0.0409868i | \(0.0130502\pi\) | ||||
−0.999160 | + | 0.0409868i | \(0.986950\pi\) | |||||||
\(908\) | −3147.61 | + | 1022.72i | −0.115041 | + | 0.0373791i | ||||
\(909\) | 2223.82 | + | 1615.70i | 0.0811433 | + | 0.0589541i | ||||
\(910\) | −37899.0 | − | 38959.6i | −1.38059 | − | 1.41923i | ||||
\(911\) | 8447.01 | − | 6137.11i | 0.307203 | − | 0.223196i | −0.423492 | − | 0.905900i | \(-0.639196\pi\) |
0.730695 | + | 0.682704i | \(0.239196\pi\) | |||||||
\(912\) | −2419.52 | + | 3330.18i | −0.0878489 | + | 0.120914i | ||||
\(913\) | 12081.2 | − | 16628.3i | 0.437929 | − | 0.602757i | ||||
\(914\) | 21164.1 | − | 15376.6i | 0.765916 | − | 0.556471i | ||||
\(915\) | 4351.40 | − | 8256.47i | 0.157216 | − | 0.298307i | ||||
\(916\) | −7500.00 | − | 5449.07i | −0.270532 | − | 0.196553i | ||||
\(917\) | −5173.41 | + | 1680.94i | −0.186304 | + | 0.0605339i | ||||
\(918\) | 45761.8i | 1.64528i | ||||||||
\(919\) | −11493.8 | − | 35374.2i | −0.412562 | − | 1.26973i | −0.914414 | − | 0.404781i | \(-0.867348\pi\) |
0.501852 | − | 0.864953i | \(-0.332652\pi\) | |||||||
\(920\) | −2747.04 | + | 396.317i | −0.0984425 | + | 0.0142024i | ||||
\(921\) | −294.265 | + | 905.654i | −0.0105281 | + | 0.0324021i | ||||
\(922\) | 60132.8 | + | 19538.3i | 2.14790 | + | 0.697897i | ||||
\(923\) | −10744.1 | − | 14787.9i | −0.383147 | − | 0.527357i | ||||
\(924\) | −17246.3 | −0.614027 | ||||||||
\(925\) | 38920.7 | + | 29952.5i | 1.38346 | + | 1.06468i | ||||
\(926\) | 4713.07 | 0.167258 | ||||||||
\(927\) | −4412.34 | − | 6073.07i | −0.156333 | − | 0.215173i | ||||
\(928\) | −70972.8 | − | 23060.5i | −2.51056 | − | 0.815729i | ||||
\(929\) | −1682.80 | + | 5179.13i | −0.0594305 | + | 0.182908i | −0.976364 | − | 0.216131i | \(-0.930656\pi\) |
0.916934 | + | 0.399039i | \(0.130656\pi\) | |||||||
\(930\) | 2387.16 | − | 13833.8i | 0.0841700 | − | 0.487773i | ||||
\(931\) | 2197.83 | + | 6764.23i | 0.0773695 | + | 0.238119i | ||||
\(932\) | 12637.4i | 0.444155i | ||||||||
\(933\) | −28777.9 | + | 9350.50i | −1.00980 | + | 0.328105i | ||||
\(934\) | 35416.9 | + | 25731.9i | 1.24077 | + | 0.901471i | ||||
\(935\) | −2294.31 | − | 15902.8i | −0.0802479 | − | 0.556231i | ||||
\(936\) | −1882.14 | + | 1367.46i | −0.0657263 | + | 0.0477530i | ||||
\(937\) | 16010.7 | − | 22036.8i | 0.558214 | − | 0.768315i | −0.432884 | − | 0.901449i | \(-0.642504\pi\) |
0.991098 | + | 0.133134i | \(0.0425041\pi\) | |||||||
\(938\) | −28534.3 | + | 39274.1i | −0.993260 | + | 1.36711i | ||||
\(939\) | −2077.76 | + | 1509.58i | −0.0722101 | + | 0.0524637i | ||||
\(940\) | 2632.37 | + | 18246.0i | 0.0913388 | + | 0.633106i | ||||
\(941\) | 16926.4 | + | 12297.7i | 0.586381 | + | 0.426031i | 0.841019 | − | 0.541006i | \(-0.181956\pi\) |
−0.254638 | + | 0.967037i | \(0.581956\pi\) | |||||||
\(942\) | −11607.6 | + | 3771.53i | −0.401482 | + | 0.130449i | ||||
\(943\) | − | 13471.8i | − | 0.465218i | ||||||
\(944\) | 6316.21 | + | 19439.3i | 0.217770 | + | 0.670228i | ||||
\(945\) | −7534.05 | + | 43660.5i | −0.259347 | + | 1.50294i | ||||
\(946\) | −10626.8 | + | 32705.8i | −0.365228 | + | 1.12406i | ||||
\(947\) | −2549.10 | − | 828.252i | −0.0874705 | − | 0.0284209i | 0.264955 | − | 0.964261i | \(-0.414643\pi\) |
−0.352425 | + | 0.935840i | \(0.614643\pi\) | |||||||
\(948\) | −4946.90 | − | 6808.83i | −0.169481 | − | 0.233271i | ||||
\(949\) | 14880.1 | 0.508988 | ||||||||
\(950\) | 8119.82 | + | 6248.83i | 0.277307 | + | 0.213409i | ||||
\(951\) | 17153.2 | 0.584891 | ||||||||
\(952\) | 4645.91 | + | 6394.55i | 0.158167 | + | 0.217698i | ||||
\(953\) | −34211.1 | − | 11115.9i | −1.16286 | − | 0.377837i | −0.336888 | − | 0.941545i | \(-0.609374\pi\) |
−0.825974 | + | 0.563708i | \(0.809374\pi\) | |||||||
\(954\) | 1027.39 | − | 3162.00i | 0.0348670 | − | 0.107310i | ||||
\(955\) | −5276.15 | + | 761.194i | −0.178777 | + | 0.0257923i | ||||
\(956\) | −12162.7 | − | 37432.9i | −0.411474 | − | 1.26639i | ||||
\(957\) | 20852.1i | 0.704340i | ||||||||
\(958\) | 56752.1 | − | 18439.9i | 1.91396 | − | 0.621885i | ||||
\(959\) | −47740.7 | − | 34685.6i | −1.60754 | − | 1.16794i | ||||
\(960\) | −12274.5 | + | 23290.0i | −0.412664 | + | 0.783001i | ||||
\(961\) | 18749.1 | − | 13622.0i | 0.629355 | − | 0.457253i | ||||
\(962\) | 42417.8 | − | 58383.1i | 1.42163 | − | 1.95670i | ||||
\(963\) | −7963.04 | + | 10960.2i | −0.266465 | + | 0.366757i | ||||
\(964\) | −2011.79 | + | 1461.65i | −0.0672151 | + | 0.0488346i | ||||
\(965\) | −8566.55 | − | 8806.26i | −0.285769 | − | 0.293765i | ||||
\(966\) | 20382.3 | + | 14808.6i | 0.678872 | + | 0.493229i | ||||
\(967\) | −55891.5 | + | 18160.2i | −1.85868 | + | 0.603923i | −0.863687 | + | 0.504029i | \(0.831851\pi\) |
−0.994998 | + | 0.0998944i | \(0.968149\pi\) | |||||||
\(968\) | 3847.40i | 0.127748i | ||||||||
\(969\) | −1708.46 | − | 5258.11i | −0.0566395 | − | 0.174319i | ||||
\(970\) | 20130.3 | + | 10609.3i | 0.666337 | + | 0.351179i | ||||
\(971\) | −9169.69 | + | 28221.4i | −0.303058 | + | 0.932717i | 0.677337 | + | 0.735673i | \(0.263134\pi\) |
−0.980395 | + | 0.197044i | \(0.936866\pi\) | |||||||
\(972\) | 27766.5 | + | 9021.90i | 0.916268 | + | 0.297714i | ||||
\(973\) | −10717.5 | − | 14751.3i | −0.353120 | − | 0.486028i | ||||
\(974\) | 24293.0 | 0.799178 | ||||||||
\(975\) | 11800.5 | + | 17222.0i | 0.387608 | + | 0.565686i | ||||
\(976\) | 12305.3 | 0.403569 | ||||||||
\(977\) | 22514.1 | + | 30988.0i | 0.737247 | + | 1.01473i | 0.998772 | + | 0.0495366i | \(0.0157744\pi\) |
−0.261526 | + | 0.965197i | \(0.584226\pi\) | |||||||
\(978\) | −2229.66 | − | 724.460i | −0.0729004 | − | 0.0236868i | ||||
\(979\) | −3148.32 | + | 9689.52i | −0.102779 | + | 0.316321i | ||||
\(980\) | 15848.0 | + | 32193.9i | 0.516577 | + | 1.04939i | ||||
\(981\) | 7217.57 | + | 22213.4i | 0.234902 | + | 0.722955i | ||||
\(982\) | − | 69236.2i | − | 2.24992i | ||||||
\(983\) | 10808.9 | − | 3512.01i | 0.350711 | − | 0.113953i | −0.128363 | − | 0.991727i | \(-0.540972\pi\) |
0.479075 | + | 0.877774i | \(0.340972\pi\) | |||||||
\(984\) | 2666.02 | + | 1936.98i | 0.0863716 | + | 0.0627527i | ||||
\(985\) | 921.200 | − | 453.476i | 0.0297989 | − | 0.0146690i | ||||
\(986\) | 71034.2 | − | 51609.4i | 2.29431 | − | 1.66691i | ||||
\(987\) | 10705.7 | − | 14735.2i | 0.345255 | − | 0.475203i | ||||
\(988\) | 4679.36 | − | 6440.58i | 0.150678 | − | 0.207391i | ||||
\(989\) | 21490.6 | − | 15613.8i | 0.690962 | − | 0.502013i | ||||
\(990\) | −11400.9 | − | 1967.33i | −0.366003 | − | 0.0631575i | ||||
\(991\) | 22004.4 | + | 15987.1i | 0.705340 | + | 0.512459i | 0.881667 | − | 0.471872i | \(-0.156422\pi\) |
−0.176327 | + | 0.984332i | \(0.556422\pi\) | |||||||
\(992\) | 20094.7 | − | 6529.18i | 0.643154 | − | 0.208973i | ||||
\(993\) | 27729.2i | 0.886164i | ||||||||
\(994\) | 13818.2 | + | 42528.1i | 0.440933 | + | 1.35705i | ||||
\(995\) | −12939.9 | + | 12587.6i | −0.412282 | + | 0.401060i | ||||
\(996\) | 11026.3 | − | 33935.5i | 0.350785 | − | 1.07961i | ||||
\(997\) | −33121.2 | − | 10761.7i | −1.05211 | − | 0.341853i | −0.268617 | − | 0.963247i | \(-0.586567\pi\) |
−0.783498 | + | 0.621394i | \(0.786567\pi\) | |||||||
\(998\) | −16615.9 | − | 22869.9i | −0.527023 | − | 0.725385i | ||||
\(999\) | −58826.2 | −1.86304 |
(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 | 25.4.e.a.14.1 | yes | 24 | |
3.2 | odd | 2 | 225.4.m.a.64.6 | 24 | |||
5.2 | odd | 4 | 125.4.d.b.51.11 | 48 | |||
5.3 | odd | 4 | 125.4.d.b.51.2 | 48 | |||
5.4 | even | 2 | 125.4.e.a.74.6 | 24 | |||
25.3 | odd | 20 | 625.4.a.g.1.22 | 24 | |||
25.9 | even | 10 | inner | 25.4.e.a.9.1 | ✓ | 24 | |
25.12 | odd | 20 | 125.4.d.b.76.11 | 48 | |||
25.13 | odd | 20 | 125.4.d.b.76.2 | 48 | |||
25.16 | even | 5 | 125.4.e.a.49.6 | 24 | |||
25.22 | odd | 20 | 625.4.a.g.1.3 | 24 | |||
75.59 | odd | 10 | 225.4.m.a.109.6 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.4.e.a.9.1 | ✓ | 24 | 25.9 | even | 10 | inner | |
25.4.e.a.14.1 | yes | 24 | 1.1 | even | 1 | trivial | |
125.4.d.b.51.2 | 48 | 5.3 | odd | 4 | |||
125.4.d.b.51.11 | 48 | 5.2 | odd | 4 | |||
125.4.d.b.76.2 | 48 | 25.13 | odd | 20 | |||
125.4.d.b.76.11 | 48 | 25.12 | odd | 20 | |||
125.4.e.a.49.6 | 24 | 25.16 | even | 5 | |||
125.4.e.a.74.6 | 24 | 5.4 | even | 2 | |||
225.4.m.a.64.6 | 24 | 3.2 | odd | 2 | |||
225.4.m.a.109.6 | 24 | 75.59 | odd | 10 | |||
625.4.a.g.1.3 | 24 | 25.22 | odd | 20 | |||
625.4.a.g.1.22 | 24 | 25.3 | odd | 20 |