Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(8,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([12]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.8");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.e (of order \(7\), degree \(6\), 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: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(78\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 8.6 | ||
Character | \(\chi\) | \(=\) | 49.8 |
Dual form | 49.4.e.a.43.6 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.802750 | − | 1.00662i | −0.283815 | − | 0.355893i | 0.619404 | − | 0.785072i | \(-0.287374\pi\) |
−0.903219 | + | 0.429179i | \(0.858803\pi\) | |||||||
\(3\) | −1.70862 | + | 0.822828i | −0.328824 | + | 0.158353i | −0.591010 | − | 0.806664i | \(-0.701271\pi\) |
0.262186 | + | 0.965017i | \(0.415557\pi\) | |||||||
\(4\) | 1.41130 | − | 6.18330i | 0.176412 | − | 0.772912i | ||||
\(5\) | −15.9369 | + | 7.67483i | −1.42544 | + | 0.686457i | −0.978144 | − | 0.207927i | \(-0.933328\pi\) |
−0.447299 | + | 0.894384i | \(0.647614\pi\) | |||||||
\(6\) | 2.19987 | + | 1.05940i | 0.149682 | + | 0.0720831i | ||||
\(7\) | 0.116992 | − | 18.5199i | 0.00631699 | − | 0.999980i | ||||
\(8\) | −16.6372 | + | 8.01205i | −0.735267 | + | 0.354086i | ||||
\(9\) | −14.5919 | + | 18.2976i | −0.540440 | + | 0.677691i | ||||
\(10\) | 20.5190 | + | 9.88143i | 0.648867 | + | 0.312478i | ||||
\(11\) | −33.8968 | − | 42.5053i | −0.929116 | − | 1.16507i | −0.986009 | − | 0.166694i | \(-0.946691\pi\) |
0.0568927 | − | 0.998380i | \(-0.481881\pi\) | |||||||
\(12\) | 2.67642 | + | 11.7262i | 0.0643847 | + | 0.282088i | ||||
\(13\) | 13.9324 | + | 17.4706i | 0.297242 | + | 0.372729i | 0.907916 | − | 0.419153i | \(-0.137673\pi\) |
−0.610674 | + | 0.791882i | \(0.709101\pi\) | |||||||
\(14\) | −18.7363 | + | 14.7491i | −0.357679 | + | 0.281561i | ||||
\(15\) | 20.9151 | − | 26.2267i | 0.360017 | − | 0.451448i | ||||
\(16\) | −24.2933 | − | 11.6990i | −0.379582 | − | 0.182797i | ||||
\(17\) | −4.20092 | − | 18.4054i | −0.0599337 | − | 0.262587i | 0.936080 | − | 0.351787i | \(-0.114426\pi\) |
−0.996014 | + | 0.0892006i | \(0.971569\pi\) | |||||||
\(18\) | 30.1324 | 0.394570 | ||||||||
\(19\) | 142.319 | 1.71843 | 0.859214 | − | 0.511616i | \(-0.170953\pi\) | ||||
0.859214 | + | 0.511616i | \(0.170953\pi\) | |||||||
\(20\) | 24.9640 | + | 109.374i | 0.279106 | + | 1.22284i | ||||
\(21\) | 15.0388 | + | 31.7397i | 0.156273 | + | 0.329818i | ||||
\(22\) | −15.5758 | + | 68.2422i | −0.150945 | + | 0.661331i | ||||
\(23\) | 15.3213 | − | 67.1272i | 0.138901 | − | 0.608564i | −0.856777 | − | 0.515688i | \(-0.827537\pi\) |
0.995678 | − | 0.0928769i | \(-0.0296063\pi\) | |||||||
\(24\) | 21.8341 | − | 27.3791i | 0.185703 | − | 0.232864i | ||||
\(25\) | 117.147 | − | 146.898i | 0.937175 | − | 1.17518i | ||||
\(26\) | 6.40202 | − | 28.0491i | 0.0482900 | − | 0.211572i | ||||
\(27\) | 21.2700 | − | 93.1901i | 0.151608 | − | 0.664238i | ||||
\(28\) | −114.349 | − | 26.8605i | −0.771783 | − | 0.181291i | ||||
\(29\) | 4.70393 | + | 20.6093i | 0.0301206 | + | 0.131967i | 0.987753 | − | 0.156027i | \(-0.0498687\pi\) |
−0.957632 | + | 0.287994i | \(0.907012\pi\) | |||||||
\(30\) | −43.1899 | −0.262845 | ||||||||
\(31\) | −288.230 | −1.66993 | −0.834963 | − | 0.550307i | \(-0.814511\pi\) | ||||
−0.834963 | + | 0.550307i | \(0.814511\pi\) | |||||||
\(32\) | 40.5974 | + | 177.869i | 0.224271 | + | 0.982595i | ||||
\(33\) | 92.8913 | + | 44.7341i | 0.490009 | + | 0.235976i | ||||
\(34\) | −15.1549 | + | 19.0037i | −0.0764426 | + | 0.0958560i | ||||
\(35\) | 140.272 | + | 296.048i | 0.677439 | + | 1.42975i | ||||
\(36\) | 92.5463 | + | 116.049i | 0.428455 | + | 0.537266i | ||||
\(37\) | −5.03063 | − | 22.0406i | −0.0223522 | − | 0.0979312i | 0.962521 | − | 0.271206i | \(-0.0874224\pi\) |
−0.984874 | + | 0.173275i | \(0.944565\pi\) | |||||||
\(38\) | −114.246 | − | 143.260i | −0.487716 | − | 0.611576i | ||||
\(39\) | −38.1804 | − | 18.3867i | −0.156763 | − | 0.0754931i | ||||
\(40\) | 203.655 | − | 255.375i | 0.805017 | − | 1.00946i | ||||
\(41\) | −270.774 | + | 130.398i | −1.03141 | + | 0.496701i | −0.871482 | − | 0.490428i | \(-0.836841\pi\) |
−0.159928 | + | 0.987129i | \(0.551126\pi\) | |||||||
\(42\) | 19.8773 | − | 40.6174i | 0.0730272 | − | 0.149224i | ||||
\(43\) | −354.025 | − | 170.489i | −1.25554 | − | 0.604637i | −0.316549 | − | 0.948576i | \(-0.602524\pi\) |
−0.938992 | + | 0.343939i | \(0.888239\pi\) | |||||||
\(44\) | −310.661 | + | 149.607i | −1.06441 | + | 0.512592i | ||||
\(45\) | 92.1188 | − | 403.599i | 0.305161 | − | 1.33700i | ||||
\(46\) | −79.8705 | + | 38.4636i | −0.256006 | + | 0.123286i | ||||
\(47\) | 69.1032 | + | 86.6527i | 0.214463 | + | 0.268928i | 0.877413 | − | 0.479736i | \(-0.159267\pi\) |
−0.662950 | + | 0.748663i | \(0.730696\pi\) | |||||||
\(48\) | 51.1342 | 0.153762 | ||||||||
\(49\) | −342.973 | − | 4.33337i | −0.999920 | − | 0.0126337i | ||||
\(50\) | −241.909 | −0.684223 | ||||||||
\(51\) | 22.3223 | + | 27.9913i | 0.0612891 | + | 0.0768541i | ||||
\(52\) | 127.689 | − | 61.4917i | 0.340524 | − | 0.163988i | ||||
\(53\) | 144.850 | − | 634.628i | 0.375408 | − | 1.64477i | −0.335906 | − | 0.941896i | \(-0.609042\pi\) |
0.711314 | − | 0.702875i | \(-0.248101\pi\) | |||||||
\(54\) | −110.881 | + | 53.3976i | −0.279426 | + | 0.134565i | ||||
\(55\) | 866.432 | + | 417.252i | 2.12418 | + | 1.02295i | ||||
\(56\) | 146.436 | + | 309.056i | 0.349434 | + | 0.737489i | ||||
\(57\) | −243.168 | + | 117.104i | −0.565061 | + | 0.272119i | ||||
\(58\) | 16.9696 | − | 21.2792i | 0.0384175 | − | 0.0481740i | ||||
\(59\) | 142.775 | + | 68.7566i | 0.315045 | + | 0.151718i | 0.584723 | − | 0.811233i | \(-0.301203\pi\) |
−0.269678 | + | 0.962950i | \(0.586917\pi\) | |||||||
\(60\) | −132.650 | − | 166.338i | −0.285418 | − | 0.357903i | ||||
\(61\) | 14.7619 | + | 64.6763i | 0.0309848 | + | 0.135753i | 0.988055 | − | 0.154104i | \(-0.0492492\pi\) |
−0.957070 | + | 0.289858i | \(0.906392\pi\) | |||||||
\(62\) | 231.377 | + | 290.137i | 0.473950 | + | 0.594314i | ||||
\(63\) | 337.163 | + | 272.381i | 0.674263 | + | 0.544710i | ||||
\(64\) | 11.9645 | − | 15.0030i | 0.0233681 | − | 0.0293026i | ||||
\(65\) | −356.123 | − | 171.500i | −0.679564 | − | 0.327261i | ||||
\(66\) | −29.5384 | − | 129.416i | −0.0550898 | − | 0.241364i | ||||
\(67\) | 755.351 | 1.37733 | 0.688663 | − | 0.725082i | \(-0.258198\pi\) | ||||
0.688663 | + | 0.725082i | \(0.258198\pi\) | |||||||
\(68\) | −119.735 | −0.213530 | ||||||||
\(69\) | 29.0558 | + | 127.302i | 0.0506943 | + | 0.222106i | ||||
\(70\) | 185.403 | − | 378.853i | 0.316571 | − | 0.646881i | ||||
\(71\) | −93.2217 | + | 408.431i | −0.155822 | + | 0.682702i | 0.835305 | + | 0.549787i | \(0.185291\pi\) |
−0.991127 | + | 0.132915i | \(0.957566\pi\) | |||||||
\(72\) | 96.1664 | − | 421.332i | 0.157407 | − | 0.689646i | ||||
\(73\) | −57.6319 | + | 72.2682i | −0.0924015 | + | 0.115868i | −0.825883 | − | 0.563842i | \(-0.809323\pi\) |
0.733481 | + | 0.679710i | \(0.237894\pi\) | |||||||
\(74\) | −18.1481 | + | 22.7570i | −0.0285091 | + | 0.0357493i | ||||
\(75\) | −79.2881 | + | 347.384i | −0.122072 | + | 0.534833i | ||||
\(76\) | 200.854 | − | 879.999i | 0.303152 | − | 1.32819i | ||||
\(77\) | −791.158 | + | 622.793i | −1.17092 | + | 0.921738i | ||||
\(78\) | 12.1410 | + | 53.1930i | 0.0176243 | + | 0.0772169i | ||||
\(79\) | −647.958 | −0.922798 | −0.461399 | − | 0.887193i | \(-0.652652\pi\) | ||||
−0.461399 | + | 0.887193i | \(0.652652\pi\) | |||||||
\(80\) | 476.948 | 0.666555 | ||||||||
\(81\) | −100.273 | − | 439.325i | −0.137549 | − | 0.602641i | ||||
\(82\) | 348.625 | + | 167.889i | 0.469502 | + | 0.226100i | ||||
\(83\) | 285.937 | − | 358.554i | 0.378141 | − | 0.474174i | −0.555947 | − | 0.831218i | \(-0.687644\pi\) |
0.934087 | + | 0.357044i | \(0.116216\pi\) | |||||||
\(84\) | 217.480 | − | 48.1952i | 0.282489 | − | 0.0626015i | ||||
\(85\) | 208.208 | + | 261.085i | 0.265687 | + | 0.333160i | ||||
\(86\) | 112.576 | + | 493.228i | 0.141156 | + | 0.618443i | ||||
\(87\) | −24.9951 | − | 31.3429i | −0.0308018 | − | 0.0386243i | ||||
\(88\) | 904.502 | + | 435.585i | 1.09568 | + | 0.527654i | ||||
\(89\) | 329.450 | − | 413.117i | 0.392378 | − | 0.492026i | −0.545928 | − | 0.837832i | \(-0.683823\pi\) |
0.938306 | + | 0.345806i | \(0.112394\pi\) | |||||||
\(90\) | −480.218 | + | 231.261i | −0.562438 | + | 0.270856i | ||||
\(91\) | 325.184 | − | 255.982i | 0.374599 | − | 0.294881i | ||||
\(92\) | −393.444 | − | 189.473i | −0.445863 | − | 0.214716i | ||||
\(93\) | 492.476 | − | 237.164i | 0.549112 | − | 0.264438i | ||||
\(94\) | 31.7534 | − | 139.121i | 0.0348417 | − | 0.152651i | ||||
\(95\) | −2268.12 | + | 1092.27i | −2.44952 | + | 1.17963i | ||||
\(96\) | −215.721 | − | 270.505i | −0.229343 | − | 0.287587i | ||||
\(97\) | −1090.75 | −1.14174 | −0.570871 | − | 0.821040i | \(-0.693394\pi\) | ||||
−0.570871 | + | 0.821040i | \(0.693394\pi\) | |||||||
\(98\) | 270.959 | + | 348.721i | 0.279296 | + | 0.359450i | ||||
\(99\) | 1272.36 | 1.29169 | ||||||||
\(100\) | −742.983 | − | 931.671i | −0.742983 | − | 0.931671i | ||||
\(101\) | −844.170 | + | 406.531i | −0.831664 | + | 0.400508i | −0.800739 | − | 0.599013i | \(-0.795560\pi\) |
−0.0309250 | + | 0.999522i | \(0.509845\pi\) | |||||||
\(102\) | 10.2573 | − | 44.9400i | 0.00995706 | − | 0.0436247i | ||||
\(103\) | 377.546 | − | 181.816i | 0.361172 | − | 0.173931i | −0.244493 | − | 0.969651i | \(-0.578622\pi\) |
0.605665 | + | 0.795720i | \(0.292907\pi\) | |||||||
\(104\) | −371.771 | − | 179.035i | −0.350530 | − | 0.168806i | ||||
\(105\) | −483.269 | − | 390.414i | −0.449164 | − | 0.362862i | ||||
\(106\) | −755.105 | + | 363.639i | −0.691908 | + | 0.333206i | ||||
\(107\) | 746.978 | − | 936.680i | 0.674888 | − | 0.846283i | −0.319984 | − | 0.947423i | \(-0.603678\pi\) |
0.994872 | + | 0.101140i | \(0.0322489\pi\) | |||||||
\(108\) | −546.204 | − | 263.038i | −0.486653 | − | 0.234360i | ||||
\(109\) | 273.236 | + | 342.627i | 0.240103 | + | 0.301080i | 0.887253 | − | 0.461283i | \(-0.152611\pi\) |
−0.647150 | + | 0.762363i | \(0.724039\pi\) | |||||||
\(110\) | −275.516 | − | 1207.11i | −0.238813 | − | 1.04631i | ||||
\(111\) | 26.7311 | + | 33.5197i | 0.0228577 | + | 0.0286626i | ||||
\(112\) | −219.507 | + | 448.540i | −0.185191 | + | 0.378420i | ||||
\(113\) | 619.307 | − | 776.586i | 0.515571 | − | 0.646505i | −0.454091 | − | 0.890955i | \(-0.650036\pi\) |
0.969662 | + | 0.244450i | \(0.0786074\pi\) | |||||||
\(114\) | 313.082 | + | 150.772i | 0.257218 | + | 0.123870i | ||||
\(115\) | 271.014 | + | 1187.39i | 0.219758 | + | 0.962824i | ||||
\(116\) | 134.072 | 0.107313 | ||||||||
\(117\) | −522.971 | −0.413236 | ||||||||
\(118\) | −45.4007 | − | 198.914i | −0.0354193 | − | 0.155182i | ||||
\(119\) | −341.358 | + | 75.6473i | −0.262960 | + | 0.0582737i | ||||
\(120\) | −137.839 | + | 603.912i | −0.104858 | + | 0.459412i | ||||
\(121\) | −361.528 | + | 1583.96i | −0.271621 | + | 1.19005i | ||||
\(122\) | 53.2541 | − | 66.7785i | 0.0395197 | − | 0.0495561i | ||||
\(123\) | 355.355 | − | 445.601i | 0.260498 | − | 0.326655i | ||||
\(124\) | −406.779 | + | 1782.21i | −0.294595 | + | 1.29071i | ||||
\(125\) | −247.538 | + | 1084.53i | −0.177123 | + | 0.776029i | ||||
\(126\) | 3.52525 | − | 558.048i | 0.00249250 | − | 0.394562i | ||||
\(127\) | −148.275 | − | 649.636i | −0.103601 | − | 0.453904i | −0.999944 | − | 0.0105445i | \(-0.996644\pi\) |
0.896344 | − | 0.443360i | \(-0.146214\pi\) | |||||||
\(128\) | 1434.84 | 0.990803 | ||||||||
\(129\) | 745.177 | 0.508599 | ||||||||
\(130\) | 113.243 | + | 496.151i | 0.0764007 | + | 0.334733i | ||||
\(131\) | 151.392 | + | 72.9068i | 0.100971 | + | 0.0486251i | 0.483688 | − | 0.875241i | \(-0.339297\pi\) |
−0.382716 | + | 0.923866i | \(0.625011\pi\) | |||||||
\(132\) | 407.702 | − | 511.242i | 0.268832 | − | 0.337105i | ||||
\(133\) | 16.6502 | − | 2635.73i | 0.0108553 | − | 1.71839i | ||||
\(134\) | −606.358 | − | 760.349i | −0.390906 | − | 0.490180i | ||||
\(135\) | 376.238 | + | 1648.41i | 0.239863 | + | 1.05091i | ||||
\(136\) | 217.357 | + | 272.557i | 0.137046 | + | 0.171850i | ||||
\(137\) | −875.406 | − | 421.573i | −0.545919 | − | 0.262901i | 0.140533 | − | 0.990076i | \(-0.455119\pi\) |
−0.686452 | + | 0.727175i | \(0.740833\pi\) | |||||||
\(138\) | 104.819 | − | 131.439i | 0.0646582 | − | 0.0810788i | ||||
\(139\) | −304.505 | + | 146.642i | −0.185811 | + | 0.0894821i | −0.524476 | − | 0.851425i | \(-0.675739\pi\) |
0.338665 | + | 0.940907i | \(0.390025\pi\) | |||||||
\(140\) | 2028.52 | − | 449.534i | 1.22458 | − | 0.271376i | ||||
\(141\) | −189.371 | − | 91.1965i | −0.113106 | − | 0.0544690i | ||||
\(142\) | 485.967 | − | 234.030i | 0.287193 | − | 0.138305i | ||||
\(143\) | 270.331 | − | 1184.40i | 0.158085 | − | 0.692617i | ||||
\(144\) | 568.549 | − | 273.799i | 0.329021 | − | 0.158448i | ||||
\(145\) | −233.139 | − | 292.347i | −0.133525 | − | 0.167435i | ||||
\(146\) | 119.010 | 0.0674614 | ||||||||
\(147\) | 589.576 | − | 274.803i | 0.330799 | − | 0.154186i | ||||
\(148\) | −143.383 | −0.0796354 | ||||||||
\(149\) | 1745.19 | + | 2188.40i | 0.959541 | + | 1.20323i | 0.979092 | + | 0.203417i | \(0.0652049\pi\) |
−0.0195511 | + | 0.999809i | \(0.506224\pi\) | |||||||
\(150\) | 413.331 | − | 199.050i | 0.224989 | − | 0.108349i | ||||
\(151\) | −128.057 | + | 561.053i | −0.0690140 | + | 0.302370i | −0.997641 | − | 0.0686442i | \(-0.978133\pi\) |
0.928627 | + | 0.371014i | \(0.120990\pi\) | |||||||
\(152\) | −2367.78 | + | 1140.26i | −1.26350 | + | 0.608471i | ||||
\(153\) | 398.075 | + | 191.703i | 0.210343 | + | 0.101296i | ||||
\(154\) | 1262.02 | + | 296.447i | 0.660365 | + | 0.155119i | ||||
\(155\) | 4593.51 | − | 2212.12i | 2.38038 | − | 1.14633i | ||||
\(156\) | −167.575 | + | 210.132i | −0.0860045 | + | 0.107846i | ||||
\(157\) | 1465.90 | + | 705.942i | 0.745171 | + | 0.358855i | 0.767631 | − | 0.640892i | \(-0.221436\pi\) |
−0.0224600 | + | 0.999748i | \(0.507150\pi\) | |||||||
\(158\) | 520.149 | + | 652.246i | 0.261904 | + | 0.328417i | ||||
\(159\) | 274.697 | + | 1203.52i | 0.137012 | + | 0.600287i | ||||
\(160\) | −2012.11 | − | 2523.11i | −0.994195 | − | 1.24668i | ||||
\(161\) | −1241.40 | − | 291.603i | −0.607675 | − | 0.142742i | ||||
\(162\) | −361.738 | + | 453.605i | −0.175437 | + | 0.219991i | ||||
\(163\) | −829.778 | − | 399.600i | −0.398731 | − | 0.192019i | 0.223762 | − | 0.974644i | \(-0.428166\pi\) |
−0.622494 | + | 0.782625i | \(0.713880\pi\) | |||||||
\(164\) | 424.147 | + | 1858.31i | 0.201953 | + | 0.884814i | ||||
\(165\) | −1823.73 | −0.860468 | ||||||||
\(166\) | −590.463 | −0.276077 | ||||||||
\(167\) | −29.1075 | − | 127.528i | −0.0134875 | − | 0.0590925i | 0.967736 | − | 0.251965i | \(-0.0810768\pi\) |
−0.981224 | + | 0.192872i | \(0.938220\pi\) | |||||||
\(168\) | −504.504 | − | 407.568i | −0.231686 | − | 0.187170i | ||||
\(169\) | 377.766 | − | 1655.10i | 0.171946 | − | 0.753347i | ||||
\(170\) | 95.6733 | − | 419.172i | 0.0431636 | − | 0.189112i | ||||
\(171\) | −2076.70 | + | 2604.10i | −0.928708 | + | 1.16456i | ||||
\(172\) | −1553.82 | + | 1948.43i | −0.688824 | + | 0.863758i | ||||
\(173\) | 438.310 | − | 1920.36i | 0.192625 | − | 0.843944i | −0.782564 | − | 0.622570i | \(-0.786089\pi\) |
0.975189 | − | 0.221374i | \(-0.0710543\pi\) | |||||||
\(174\) | −11.4854 | + | 50.3210i | −0.00500408 | + | 0.0219243i | ||||
\(175\) | −2706.82 | − | 2186.73i | −1.16924 | − | 0.944580i | ||||
\(176\) | 326.194 | + | 1429.15i | 0.139704 | + | 0.612081i | ||||
\(177\) | −300.522 | −0.127619 | ||||||||
\(178\) | −680.317 | −0.286471 | ||||||||
\(179\) | −358.542 | − | 1570.88i | −0.149713 | − | 0.655938i | −0.992964 | − | 0.118417i | \(-0.962218\pi\) |
0.843251 | − | 0.537521i | \(-0.180639\pi\) | |||||||
\(180\) | −2365.56 | − | 1139.20i | −0.979549 | − | 0.471726i | ||||
\(181\) | −158.754 | + | 199.071i | −0.0651938 | + | 0.0817504i | −0.813359 | − | 0.581762i | \(-0.802364\pi\) |
0.748165 | + | 0.663512i | \(0.230935\pi\) | |||||||
\(182\) | −518.717 | − | 121.846i | −0.211263 | − | 0.0496255i | ||||
\(183\) | −78.4400 | − | 98.3607i | −0.0316855 | − | 0.0397324i | ||||
\(184\) | 282.922 | + | 1239.56i | 0.113355 | + | 0.496640i | ||||
\(185\) | 249.331 | + | 312.651i | 0.0990873 | + | 0.124252i | ||||
\(186\) | −634.068 | − | 305.351i | −0.249958 | − | 0.120373i | ||||
\(187\) | −639.930 | + | 802.447i | −0.250248 | + | 0.313801i | ||||
\(188\) | 633.325 | − | 304.993i | 0.245691 | − | 0.118319i | ||||
\(189\) | −1723.38 | − | 404.821i | −0.663267 | − | 0.155801i | ||||
\(190\) | 2920.23 | + | 1406.31i | 1.11503 | + | 0.536971i | ||||
\(191\) | 1479.53 | − | 712.503i | 0.560497 | − | 0.269921i | −0.132112 | − | 0.991235i | \(-0.542176\pi\) |
0.692608 | + | 0.721314i | \(0.256461\pi\) | |||||||
\(192\) | −8.09786 | + | 35.4790i | −0.00304382 | + | 0.0133358i | ||||
\(193\) | 4150.33 | − | 1998.69i | 1.54791 | − | 0.745436i | 0.551839 | − | 0.833951i | \(-0.313926\pi\) |
0.996075 | + | 0.0885150i | \(0.0282121\pi\) | |||||||
\(194\) | 875.601 | + | 1097.97i | 0.324044 | + | 0.406338i | ||||
\(195\) | 749.594 | 0.275280 | ||||||||
\(196\) | −510.831 | + | 2114.59i | −0.186163 | + | 0.770622i | ||||
\(197\) | −3277.42 | −1.18531 | −0.592655 | − | 0.805456i | \(-0.701920\pi\) | ||||
−0.592655 | + | 0.805456i | \(0.701920\pi\) | |||||||
\(198\) | −1021.39 | − | 1280.78i | −0.366602 | − | 0.459704i | ||||
\(199\) | −3524.97 | + | 1697.54i | −1.25567 | + | 0.604699i | −0.939026 | − | 0.343846i | \(-0.888270\pi\) |
−0.316644 | + | 0.948544i | \(0.602556\pi\) | |||||||
\(200\) | −772.045 | + | 3382.55i | −0.272959 | + | 1.19591i | ||||
\(201\) | −1290.61 | + | 621.524i | −0.452898 | + | 0.218104i | ||||
\(202\) | 1086.88 | + | 523.413i | 0.378577 | + | 0.182313i | ||||
\(203\) | 382.232 | − | 84.7052i | 0.132155 | − | 0.0292864i | ||||
\(204\) | 204.582 | − | 98.5214i | 0.0702137 | − | 0.0338131i | ||||
\(205\) | 3314.53 | − | 4156.29i | 1.12925 | − | 1.41604i | ||||
\(206\) | −486.094 | − | 234.091i | −0.164407 | − | 0.0791741i | ||||
\(207\) | 1004.70 | + | 1259.86i | 0.337351 | + | 0.423025i | ||||
\(208\) | −134.073 | − | 587.413i | −0.0446938 | − | 0.195816i | ||||
\(209\) | −4824.15 | − | 6049.29i | −1.59662 | − | 2.00210i | ||||
\(210\) | −5.05288 | + | 799.872i | −0.00166039 | + | 0.262840i | ||||
\(211\) | 1249.34 | − | 1566.63i | 0.407622 | − | 0.511142i | −0.535069 | − | 0.844808i | \(-0.679714\pi\) |
0.942691 | + | 0.333666i | \(0.108286\pi\) | |||||||
\(212\) | −3719.67 | − | 1791.30i | −1.20504 | − | 0.580315i | ||||
\(213\) | −176.788 | − | 774.559i | −0.0568700 | − | 0.249164i | ||||
\(214\) | −1542.51 | −0.492730 | ||||||||
\(215\) | 6950.55 | 2.20476 | ||||||||
\(216\) | 392.770 | + | 1720.84i | 0.123725 | + | 0.542075i | ||||
\(217\) | −33.7207 | + | 5337.99i | −0.0105489 | + | 1.66989i | ||||
\(218\) | 125.554 | − | 550.088i | 0.0390073 | − | 0.170902i | ||||
\(219\) | 39.0068 | − | 170.900i | 0.0120358 | − | 0.0527322i | ||||
\(220\) | 3802.79 | − | 4768.54i | 1.16538 | − | 1.46134i | ||||
\(221\) | 263.026 | − | 329.824i | 0.0800589 | − | 0.100391i | ||||
\(222\) | 12.2831 | − | 53.8159i | 0.00371347 | − | 0.0162698i | ||||
\(223\) | −917.735 | + | 4020.86i | −0.275588 | + | 1.20743i | 0.627721 | + | 0.778438i | \(0.283988\pi\) |
−0.903309 | + | 0.428991i | \(0.858869\pi\) | |||||||
\(224\) | 3298.86 | − | 731.049i | 0.983992 | − | 0.218059i | ||||
\(225\) | 978.486 | + | 4287.03i | 0.289922 | + | 1.27023i | ||||
\(226\) | −1278.87 | −0.376413 | ||||||||
\(227\) | 823.029 | 0.240645 | 0.120322 | − | 0.992735i | \(-0.461607\pi\) | ||||
0.120322 | + | 0.992735i | \(0.461607\pi\) | |||||||
\(228\) | 380.905 | + | 1668.85i | 0.110640 | + | 0.484747i | ||||
\(229\) | −3843.90 | − | 1851.12i | −1.10922 | − | 0.534174i | −0.212676 | − | 0.977123i | \(-0.568218\pi\) |
−0.896547 | + | 0.442949i | \(0.853932\pi\) | |||||||
\(230\) | 977.690 | − | 1225.99i | 0.280291 | − | 0.351474i | ||||
\(231\) | 839.338 | − | 1715.10i | 0.239067 | − | 0.488509i | ||||
\(232\) | −243.383 | − | 305.192i | −0.0688744 | − | 0.0863658i | ||||
\(233\) | 1073.60 | + | 4703.77i | 0.301864 | + | 1.32255i | 0.867311 | + | 0.497766i | \(0.165846\pi\) |
−0.565448 | + | 0.824784i | \(0.691297\pi\) | |||||||
\(234\) | 419.815 | + | 526.431i | 0.117283 | + | 0.147068i | ||||
\(235\) | −1766.34 | − | 850.624i | −0.490312 | − | 0.236122i | ||||
\(236\) | 626.640 | − | 785.782i | 0.172842 | − | 0.216737i | ||||
\(237\) | 1107.12 | − | 533.158i | 0.303438 | − | 0.146128i | ||||
\(238\) | 350.173 | + | 282.891i | 0.0953712 | + | 0.0770466i | ||||
\(239\) | −3773.09 | − | 1817.02i | −1.02117 | − | 0.491772i | −0.153102 | − | 0.988210i | \(-0.548926\pi\) |
−0.868072 | + | 0.496439i | \(0.834641\pi\) | |||||||
\(240\) | −814.923 | + | 392.446i | −0.219179 | + | 0.105551i | ||||
\(241\) | −34.0952 | + | 149.381i | −0.00911314 | + | 0.0399273i | −0.979280 | − | 0.202511i | \(-0.935090\pi\) |
0.970167 | + | 0.242438i | \(0.0779471\pi\) | |||||||
\(242\) | 1884.65 | − | 907.602i | 0.500621 | − | 0.241086i | ||||
\(243\) | 2141.94 | + | 2685.91i | 0.565456 | + | 0.709059i | ||||
\(244\) | 420.746 | 0.110392 | ||||||||
\(245\) | 5499.19 | − | 2563.19i | 1.43400 | − | 0.668394i | ||||
\(246\) | −733.811 | −0.190187 | ||||||||
\(247\) | 1982.83 | + | 2486.39i | 0.510788 | + | 0.640508i | ||||
\(248\) | 4795.34 | − | 2309.31i | 1.22784 | − | 0.591297i | ||||
\(249\) | −193.530 | + | 847.910i | −0.0492549 | + | 0.215800i | ||||
\(250\) | 1290.42 | − | 621.433i | 0.326453 | − | 0.157212i | ||||
\(251\) | 2131.85 | + | 1026.65i | 0.536101 | + | 0.258173i | 0.682287 | − | 0.731084i | \(-0.260985\pi\) |
−0.146186 | + | 0.989257i | \(0.546700\pi\) | |||||||
\(252\) | 2160.05 | − | 1700.37i | 0.539962 | − | 0.425053i | ||||
\(253\) | −3372.60 | + | 1624.16i | −0.838078 | + | 0.403597i | ||||
\(254\) | −534.906 | + | 670.751i | −0.132138 | + | 0.165696i | ||||
\(255\) | −570.577 | − | 274.775i | −0.140121 | − | 0.0674788i | ||||
\(256\) | −1247.53 | − | 1564.35i | −0.304573 | − | 0.381922i | ||||
\(257\) | −1102.50 | − | 4830.36i | −0.267595 | − | 1.17241i | −0.912802 | − | 0.408402i | \(-0.866086\pi\) |
0.645207 | − | 0.764008i | \(-0.276771\pi\) | |||||||
\(258\) | −598.191 | − | 750.108i | −0.144348 | − | 0.181007i | ||||
\(259\) | −408.778 | + | 90.5881i | −0.0980704 | + | 0.0217331i | ||||
\(260\) | −1563.03 | + | 1959.98i | −0.372827 | + | 0.467510i | ||||
\(261\) | −445.740 | − | 214.657i | −0.105711 | − | 0.0509079i | ||||
\(262\) | −48.1411 | − | 210.920i | −0.0113518 | − | 0.0497354i | ||||
\(263\) | −1260.39 | −0.295508 | −0.147754 | − | 0.989024i | \(-0.547204\pi\) | ||||
−0.147754 | + | 0.989024i | \(0.547204\pi\) | |||||||
\(264\) | −1903.86 | −0.443843 | ||||||||
\(265\) | 2562.20 | + | 11225.7i | 0.593942 | + | 2.60223i | ||||
\(266\) | −2666.53 | + | 2099.07i | −0.614645 | + | 0.483843i | ||||
\(267\) | −222.980 | + | 976.941i | −0.0511093 | + | 0.223924i | ||||
\(268\) | 1066.03 | − | 4670.56i | 0.242977 | − | 1.06455i | ||||
\(269\) | −656.587 | + | 823.334i | −0.148821 | + | 0.186615i | −0.850654 | − | 0.525726i | \(-0.823794\pi\) |
0.701833 | + | 0.712341i | \(0.252365\pi\) | |||||||
\(270\) | 1357.29 | − | 1701.99i | 0.305933 | − | 0.383628i | ||||
\(271\) | −1396.86 | + | 6120.05i | −0.313112 | + | 1.37183i | 0.536267 | + | 0.844048i | \(0.319834\pi\) |
−0.849379 | + | 0.527784i | \(0.823023\pi\) | |||||||
\(272\) | −113.271 | + | 496.274i | −0.0252503 | + | 0.110629i | ||||
\(273\) | −344.987 | + | 704.946i | −0.0764819 | + | 0.156283i | ||||
\(274\) | 278.369 | + | 1219.62i | 0.0613756 | + | 0.268904i | ||||
\(275\) | −10214.8 | −2.23992 | ||||||||
\(276\) | 828.151 | 0.180612 | ||||||||
\(277\) | −889.263 | − | 3896.12i | −0.192890 | − | 0.845108i | −0.975042 | − | 0.222020i | \(-0.928735\pi\) |
0.782152 | − | 0.623088i | \(-0.214122\pi\) | |||||||
\(278\) | 392.054 | + | 188.803i | 0.0845821 | + | 0.0407326i | ||||
\(279\) | 4205.82 | − | 5273.94i | 0.902495 | − | 1.13169i | ||||
\(280\) | −4705.69 | − | 3801.54i | −1.00435 | − | 0.811377i | ||||
\(281\) | −1470.16 | − | 1843.52i | −0.312108 | − | 0.391371i | 0.600892 | − | 0.799330i | \(-0.294812\pi\) |
−0.913000 | + | 0.407959i | \(0.866241\pi\) | |||||||
\(282\) | 60.2180 | + | 263.833i | 0.0127161 | + | 0.0557128i | ||||
\(283\) | −1111.28 | − | 1393.51i | −0.233424 | − | 0.292704i | 0.651299 | − | 0.758821i | \(-0.274224\pi\) |
−0.884723 | + | 0.466117i | \(0.845653\pi\) | |||||||
\(284\) | 2393.89 | + | 1152.84i | 0.500180 | + | 0.240874i | ||||
\(285\) | 2976.61 | − | 3732.55i | 0.618664 | − | 0.775780i | ||||
\(286\) | −1409.24 | + | 678.655i | −0.291364 | + | 0.140314i | ||||
\(287\) | 2383.28 | + | 5029.96i | 0.490176 | + | 1.03453i | ||||
\(288\) | −3846.97 | − | 1852.60i | −0.787100 | − | 0.379048i | ||||
\(289\) | 4105.35 | − | 1977.03i | 0.835609 | − | 0.402408i | ||||
\(290\) | −107.129 | + | 469.363i | −0.0216925 | + | 0.0950412i | ||||
\(291\) | 1863.68 | − | 897.501i | 0.375433 | − | 0.180799i | ||||
\(292\) | 365.520 | + | 458.347i | 0.0732549 | + | 0.0918587i | ||||
\(293\) | 1402.33 | 0.279607 | 0.139804 | − | 0.990179i | \(-0.455353\pi\) | ||||
0.139804 | + | 0.990179i | \(0.455353\pi\) | |||||||
\(294\) | −749.904 | − | 372.878i | −0.148759 | − | 0.0739684i | ||||
\(295\) | −2803.08 | −0.553227 | ||||||||
\(296\) | 260.286 | + | 326.388i | 0.0511109 | + | 0.0640910i | ||||
\(297\) | −4682.05 | + | 2254.76i | −0.914749 | + | 0.440520i | ||||
\(298\) | 801.928 | − | 3513.48i | 0.155887 | − | 0.682987i | ||||
\(299\) | 1386.22 | − | 667.566i | 0.268117 | − | 0.129118i | ||||
\(300\) | 2036.08 | + | 980.524i | 0.391844 | + | 0.188702i | ||||
\(301\) | −3198.86 | + | 6536.55i | −0.612556 | + | 1.25170i | ||||
\(302\) | 667.563 | − | 321.481i | 0.127198 | − | 0.0612555i | ||||
\(303\) | 1107.86 | − | 1389.21i | 0.210049 | − | 0.263394i | ||||
\(304\) | −3457.38 | − | 1664.99i | −0.652284 | − | 0.314124i | ||||
\(305\) | −731.640 | − | 917.447i | −0.137356 | − | 0.172239i | ||||
\(306\) | −126.584 | − | 554.599i | −0.0236481 | − | 0.103609i | ||||
\(307\) | −1126.97 | − | 1413.17i | −0.209509 | − | 0.262716i | 0.665963 | − | 0.745985i | \(-0.268021\pi\) |
−0.875472 | + | 0.483268i | \(0.839449\pi\) | |||||||
\(308\) | 2734.35 | + | 5770.92i | 0.505858 | + | 1.06762i | ||||
\(309\) | −495.478 | + | 621.310i | −0.0912194 | + | 0.114385i | ||||
\(310\) | −5914.19 | − | 2848.13i | −1.08356 | − | 0.521815i | ||||
\(311\) | −2144.67 | − | 9396.43i | −0.391040 | − | 1.71326i | −0.661000 | − | 0.750386i | \(-0.729868\pi\) |
0.269961 | − | 0.962871i | \(-0.412989\pi\) | |||||||
\(312\) | 782.530 | 0.141994 | ||||||||
\(313\) | 5013.10 | 0.905294 | 0.452647 | − | 0.891690i | \(-0.350480\pi\) | ||||
0.452647 | + | 0.891690i | \(0.350480\pi\) | |||||||
\(314\) | −466.141 | − | 2042.30i | −0.0837766 | − | 0.367049i | ||||
\(315\) | −7463.83 | − | 1753.25i | −1.33504 | − | 0.313601i | ||||
\(316\) | −914.462 | + | 4006.52i | −0.162793 | + | 0.713242i | ||||
\(317\) | −1768.05 | + | 7746.32i | −0.313260 | + | 1.37248i | 0.535871 | + | 0.844300i | \(0.319983\pi\) |
−0.849131 | + | 0.528182i | \(0.822874\pi\) | |||||||
\(318\) | 990.975 | − | 1242.64i | 0.174752 | − | 0.219132i | ||||
\(319\) | 716.554 | − | 898.531i | 0.125766 | − | 0.157706i | ||||
\(320\) | −75.5318 | + | 330.926i | −0.0131949 | + | 0.0578105i | ||||
\(321\) | −505.574 | + | 2215.07i | −0.0879078 | + | 0.385149i | ||||
\(322\) | 702.998 | + | 1483.69i | 0.121666 | + | 0.256780i | ||||
\(323\) | −597.869 | − | 2619.44i | −0.102992 | − | 0.451236i | ||||
\(324\) | −2858.00 | −0.490054 | ||||||||
\(325\) | 4198.52 | 0.716591 | ||||||||
\(326\) | 263.860 | + | 1156.05i | 0.0448278 | + | 0.196403i | ||||
\(327\) | −748.780 | − | 360.593i | −0.126629 | − | 0.0609812i | ||||
\(328\) | 3460.17 | − | 4338.91i | 0.582487 | − | 0.730416i | ||||
\(329\) | 1612.88 | − | 1269.65i | 0.270277 | − | 0.212759i | ||||
\(330\) | 1464.00 | + | 1835.80i | 0.244214 | + | 0.306234i | ||||
\(331\) | −1087.30 | − | 4763.77i | −0.180554 | − | 0.791058i | −0.981367 | − | 0.192144i | \(-0.938456\pi\) |
0.800813 | − | 0.598914i | \(-0.204401\pi\) | |||||||
\(332\) | −1813.50 | − | 2274.06i | −0.299786 | − | 0.375920i | ||||
\(333\) | 476.698 | + | 229.565i | 0.0784471 | + | 0.0377781i | ||||
\(334\) | −105.006 | + | 131.674i | −0.0172026 | + | 0.0215714i | ||||
\(335\) | −12038.0 | + | 5797.19i | −1.96330 | + | 0.945475i | ||||
\(336\) | 5.98231 | − | 947.000i | 0.000971314 | − | 0.153759i | ||||
\(337\) | 6955.44 | + | 3349.56i | 1.12429 | + | 0.541431i | 0.901216 | − | 0.433370i | \(-0.142676\pi\) |
0.223077 | + | 0.974801i | \(0.428390\pi\) | |||||||
\(338\) | −1969.31 | + | 948.368i | −0.316912 | + | 0.152617i | ||||
\(339\) | −419.163 | + | 1836.47i | −0.0671558 | + | 0.294229i | ||||
\(340\) | 1908.21 | − | 918.946i | 0.304374 | − | 0.146579i | ||||
\(341\) | 9770.09 | + | 12251.3i | 1.55155 | + | 1.94559i | ||||
\(342\) | 4288.40 | 0.678041 | ||||||||
\(343\) | −120.379 | + | 6351.31i | −0.0189500 | + | 0.999820i | ||||
\(344\) | 7255.95 | 1.13725 | ||||||||
\(345\) | −1440.08 | − | 1805.80i | −0.224728 | − | 0.281800i | ||||
\(346\) | −2284.92 | + | 1100.36i | −0.355024 | + | 0.170970i | ||||
\(347\) | 219.466 | − | 961.544i | 0.0339526 | − | 0.148756i | −0.955110 | − | 0.296250i | \(-0.904264\pi\) |
0.989063 | + | 0.147494i | \(0.0471208\pi\) | |||||||
\(348\) | −229.078 | + | 110.318i | −0.0352870 | + | 0.0169933i | ||||
\(349\) | 9848.71 | + | 4742.89i | 1.51057 | + | 0.727453i | 0.991841 | − | 0.127484i | \(-0.0406902\pi\) |
0.518731 | + | 0.854937i | \(0.326404\pi\) | |||||||
\(350\) | −28.3015 | + | 4480.13i | −0.00432223 | + | 0.684209i | ||||
\(351\) | 1924.43 | − | 926.756i | 0.292645 | − | 0.140930i | ||||
\(352\) | 6184.23 | − | 7754.78i | 0.936423 | − | 1.17424i | ||||
\(353\) | −7809.00 | − | 3760.62i | −1.17743 | − | 0.567018i | −0.260265 | − | 0.965537i | \(-0.583810\pi\) |
−0.917160 | + | 0.398519i | \(0.869524\pi\) | |||||||
\(354\) | 241.244 | + | 302.511i | 0.0362203 | + | 0.0454188i | ||||
\(355\) | −1648.97 | − | 7224.60i | −0.246530 | − | 1.08012i | ||||
\(356\) | −2089.48 | − | 2620.12i | −0.311073 | − | 0.390073i | ||||
\(357\) | 521.007 | − | 410.132i | 0.0772398 | − | 0.0608024i | ||||
\(358\) | −1293.45 | + | 1621.94i | −0.190953 | + | 0.239447i | ||||
\(359\) | −2074.44 | − | 998.999i | −0.304972 | − | 0.146867i | 0.275138 | − | 0.961405i | \(-0.411276\pi\) |
−0.580110 | + | 0.814538i | \(0.696991\pi\) | |||||||
\(360\) | 1701.06 | + | 7452.81i | 0.249037 | + | 1.09110i | ||||
\(361\) | 13395.6 | 1.95299 | ||||||||
\(362\) | 327.828 | 0.0475973 | ||||||||
\(363\) | −685.611 | − | 3003.86i | −0.0991329 | − | 0.434330i | ||||
\(364\) | −1123.88 | − | 2371.98i | −0.161833 | − | 0.341553i | ||||
\(365\) | 363.831 | − | 1594.05i | 0.0521748 | − | 0.228593i | ||||
\(366\) | −36.0438 | + | 157.918i | −0.00514765 | + | 0.0225533i | ||||
\(367\) | 339.727 | − | 426.004i | 0.0483205 | − | 0.0605919i | −0.757084 | − | 0.653317i | \(-0.773377\pi\) |
0.805405 | + | 0.592726i | \(0.201948\pi\) | |||||||
\(368\) | −1157.53 | + | 1451.49i | −0.163968 | + | 0.205609i | ||||
\(369\) | 1565.13 | − | 6857.28i | 0.220806 | − | 0.967414i | ||||
\(370\) | 114.569 | − | 501.961i | 0.0160978 | − | 0.0705289i | ||||
\(371\) | −11736.3 | − | 2756.85i | −1.64237 | − | 0.385791i | ||||
\(372\) | −771.426 | − | 3379.84i | −0.107518 | − | 0.471065i | ||||
\(373\) | −386.955 | −0.0537152 | −0.0268576 | − | 0.999639i | \(-0.508550\pi\) | ||||
−0.0268576 | + | 0.999639i | \(0.508550\pi\) | |||||||
\(374\) | 1321.46 | 0.182703 | ||||||||
\(375\) | −469.437 | − | 2056.74i | −0.0646443 | − | 0.283225i | ||||
\(376\) | −1843.95 | − | 887.999i | −0.252911 | − | 0.121795i | ||||
\(377\) | −294.520 | + | 369.316i | −0.0402349 | + | 0.0504529i | ||||
\(378\) | 975.945 | + | 2059.75i | 0.132797 | + | 0.280271i | ||||
\(379\) | 2634.95 | + | 3304.12i | 0.357120 | + | 0.447814i | 0.927643 | − | 0.373467i | \(-0.121831\pi\) |
−0.570524 | + | 0.821281i | \(0.693260\pi\) | |||||||
\(380\) | 3552.84 | + | 15566.0i | 0.479623 | + | 2.10137i | ||||
\(381\) | 787.884 | + | 987.976i | 0.105944 | + | 0.132849i | ||||
\(382\) | −1904.91 | − | 917.355i | −0.255140 | − | 0.122869i | ||||
\(383\) | 2851.26 | − | 3575.37i | 0.380398 | − | 0.477005i | −0.554366 | − | 0.832273i | \(-0.687039\pi\) |
0.934764 | + | 0.355269i | \(0.115611\pi\) | |||||||
\(384\) | −2451.59 | + | 1180.62i | −0.325800 | + | 0.156897i | ||||
\(385\) | 7828.82 | − | 15997.4i | 1.03635 | − | 2.11767i | ||||
\(386\) | −5343.60 | − | 2573.34i | −0.704616 | − | 0.339325i | ||||
\(387\) | 8285.44 | − | 3990.06i | 1.08830 | − | 0.524099i | ||||
\(388\) | −1539.38 | + | 6744.44i | −0.201417 | + | 0.882467i | ||||
\(389\) | −11465.0 | + | 5521.23i | −1.49434 | + | 0.719634i | −0.989628 | − | 0.143656i | \(-0.954114\pi\) |
−0.504708 | + | 0.863290i | \(0.668400\pi\) | |||||||
\(390\) | −601.737 | − | 754.554i | −0.0781285 | − | 0.0979701i | ||||
\(391\) | −1299.87 | −0.168126 | ||||||||
\(392\) | 5740.82 | − | 2675.82i | 0.739682 | − | 0.344769i | ||||
\(393\) | −318.662 | −0.0409017 | ||||||||
\(394\) | 2630.95 | + | 3299.10i | 0.336409 | + | 0.421843i | ||||
\(395\) | 10326.5 | − | 4972.97i | 1.31540 | − | 0.633461i | ||||
\(396\) | 1795.69 | − | 7867.41i | 0.227870 | − | 0.998365i | ||||
\(397\) | −9865.12 | + | 4750.79i | −1.24714 | + | 0.600593i | −0.936745 | − | 0.350014i | \(-0.886177\pi\) |
−0.310399 | + | 0.950606i | \(0.600463\pi\) | |||||||
\(398\) | 4538.44 | + | 2185.60i | 0.571586 | + | 0.275261i | ||||
\(399\) | 2140.30 | + | 4517.15i | 0.268544 | + | 0.566768i | ||||
\(400\) | −4564.44 | + | 2198.12i | −0.570554 | + | 0.274765i | ||||
\(401\) | −589.343 | + | 739.013i | −0.0733925 | + | 0.0920312i | −0.817172 | − | 0.576393i | \(-0.804460\pi\) |
0.743780 | + | 0.668425i | \(0.233031\pi\) | |||||||
\(402\) | 1661.67 | + | 800.219i | 0.206161 | + | 0.0992819i | ||||
\(403\) | −4015.73 | − | 5035.56i | −0.496371 | − | 0.622430i | ||||
\(404\) | 1322.33 | + | 5793.49i | 0.162842 | + | 0.713458i | ||||
\(405\) | 4969.79 | + | 6231.92i | 0.609756 | + | 0.764609i | ||||
\(406\) | −392.102 | − | 316.764i | −0.0479303 | − | 0.0387210i | ||||
\(407\) | −766.320 | + | 960.935i | −0.0933294 | + | 0.117031i | ||||
\(408\) | −595.648 | − | 286.849i | −0.0722768 | − | 0.0348067i | ||||
\(409\) | 23.8869 | + | 104.655i | 0.00288785 | + | 0.0126525i | 0.976351 | − | 0.216190i | \(-0.0693631\pi\) |
−0.973463 | + | 0.228842i | \(0.926506\pi\) | |||||||
\(410\) | −6844.53 | −0.824457 | ||||||||
\(411\) | 1842.62 | 0.221143 | ||||||||
\(412\) | −591.396 | − | 2591.07i | −0.0707184 | − | 0.309838i | ||||
\(413\) | 1290.07 | − | 2636.12i | 0.153705 | − | 0.314080i | ||||
\(414\) | 461.668 | − | 2022.70i | 0.0548062 | − | 0.240121i | ||||
\(415\) | −1805.13 | + | 7908.77i | −0.213518 | + | 0.935485i | ||||
\(416\) | −2541.86 | + | 3187.39i | −0.299579 | + | 0.375660i | ||||
\(417\) | 399.623 | − | 501.111i | 0.0469295 | − | 0.0588477i | ||||
\(418\) | −2216.73 | + | 9712.14i | −0.259387 | + | 1.13645i | ||||
\(419\) | 762.957 | − | 3342.73i | 0.0889568 | − | 0.389745i | −0.910775 | − | 0.412903i | \(-0.864515\pi\) |
0.999732 | + | 0.0231578i | \(0.00737200\pi\) | |||||||
\(420\) | −3096.08 | + | 2437.21i | −0.359699 | + | 0.283151i | ||||
\(421\) | −2555.77 | − | 11197.5i | −0.295868 | − | 1.29628i | −0.876218 | − | 0.481915i | \(-0.839941\pi\) |
0.580350 | − | 0.814367i | \(-0.302916\pi\) | |||||||
\(422\) | −2579.90 | −0.297601 | ||||||||
\(423\) | −2593.89 | −0.298154 | ||||||||
\(424\) | 2674.78 | + | 11719.0i | 0.306365 | + | 1.34227i | ||||
\(425\) | −3195.84 | − | 1539.03i | −0.364755 | − | 0.175657i | ||||
\(426\) | −637.768 | + | 799.735i | −0.0725351 | + | 0.0909561i | ||||
\(427\) | 1199.52 | − | 265.823i | 0.135946 | − | 0.0301266i | ||||
\(428\) | −4737.57 | − | 5940.72i | −0.535044 | − | 0.670924i | ||||
\(429\) | 512.662 | + | 2246.12i | 0.0576960 | + | 0.252783i | ||||
\(430\) | −5579.55 | − | 6996.54i | −0.625744 | − | 0.784658i | ||||
\(431\) | −2652.68 | − | 1277.46i | −0.296462 | − | 0.142768i | 0.279740 | − | 0.960076i | \(-0.409752\pi\) |
−0.576202 | + | 0.817307i | \(0.695466\pi\) | |||||||
\(432\) | −1606.95 | + | 2015.05i | −0.178969 | + | 0.224419i | ||||
\(433\) | −10721.1 | + | 5162.99i | −1.18989 | + | 0.573020i | −0.920777 | − | 0.390089i | \(-0.872444\pi\) |
−0.269111 | + | 0.963109i | \(0.586730\pi\) | |||||||
\(434\) | 5400.38 | − | 4251.13i | 0.597296 | − | 0.470186i | ||||
\(435\) | 638.897 | + | 307.677i | 0.0704202 | + | 0.0339126i | ||||
\(436\) | 2504.18 | − | 1205.95i | 0.275066 | − | 0.132465i | ||||
\(437\) | 2180.51 | − | 9553.45i | 0.238691 | − | 1.04577i | ||||
\(438\) | −203.344 | + | 97.9251i | −0.0221829 | + | 0.0106827i | ||||
\(439\) | −10711.6 | − | 13431.9i | −1.16454 | − | 1.46029i | −0.861820 | − | 0.507214i | \(-0.830675\pi\) |
−0.302724 | − | 0.953078i | \(-0.597896\pi\) | |||||||
\(440\) | −17758.0 | −1.92405 | ||||||||
\(441\) | 5083.91 | − | 6212.36i | 0.548959 | − | 0.670809i | ||||
\(442\) | −543.150 | −0.0584502 | ||||||||
\(443\) | 3057.32 | + | 3833.76i | 0.327895 | + | 0.411168i | 0.918266 | − | 0.395965i | \(-0.129590\pi\) |
−0.590371 | + | 0.807132i | \(0.701018\pi\) | |||||||
\(444\) | 244.988 | − | 117.980i | 0.0261861 | − | 0.0126105i | ||||
\(445\) | −2079.82 | + | 9112.30i | −0.221557 | + | 0.970706i | ||||
\(446\) | 4784.18 | − | 2303.94i | 0.507931 | − | 0.244607i | ||||
\(447\) | −4782.55 | − | 2303.15i | −0.506055 | − | 0.243703i | ||||
\(448\) | −276.453 | − | 223.336i | −0.0291544 | − | 0.0235527i | ||||
\(449\) | −6770.39 | + | 3260.45i | −0.711613 | + | 0.342695i | −0.754423 | − | 0.656388i | \(-0.772083\pi\) |
0.0428100 | + | 0.999083i | \(0.486369\pi\) | |||||||
\(450\) | 3529.91 | − | 4426.37i | 0.369782 | − | 0.463691i | ||||
\(451\) | 14721.0 | + | 7089.25i | 1.53699 | + | 0.740177i | ||||
\(452\) | −3927.84 | − | 4925.36i | −0.408739 | − | 0.512543i | ||||
\(453\) | −242.850 | − | 1064.00i | −0.0251878 | − | 0.110355i | ||||
\(454\) | −660.687 | − | 828.475i | −0.0682986 | − | 0.0856437i | ||||
\(455\) | −3217.82 | + | 6575.30i | −0.331547 | + | 0.677483i | ||||
\(456\) | 3107.40 | − | 3896.56i | 0.319117 | − | 0.400160i | ||||
\(457\) | −12789.8 | − | 6159.24i | −1.30915 | − | 0.630453i | −0.356435 | − | 0.934320i | \(-0.616008\pi\) |
−0.952714 | + | 0.303867i | \(0.901722\pi\) | |||||||
\(458\) | 1222.32 | + | 5355.32i | 0.124706 | + | 0.546371i | ||||
\(459\) | −1804.56 | −0.183507 | ||||||||
\(460\) | 7724.47 | 0.782946 | ||||||||
\(461\) | −676.764 | − | 2965.10i | −0.0683732 | − | 0.299563i | 0.929167 | − | 0.369660i | \(-0.120526\pi\) |
−0.997540 | + | 0.0700978i | \(0.977669\pi\) | |||||||
\(462\) | −2400.23 | + | 531.908i | −0.241707 | + | 0.0535640i | ||||
\(463\) | −1445.55 | + | 6333.37i | −0.145098 | + | 0.635716i | 0.849108 | + | 0.528220i | \(0.177140\pi\) |
−0.994206 | + | 0.107496i | \(0.965717\pi\) | |||||||
\(464\) | 126.834 | − | 555.698i | 0.0126900 | − | 0.0555983i | ||||
\(465\) | −6028.37 | + | 7559.34i | −0.601202 | + | 0.753883i | ||||
\(466\) | 3873.06 | − | 4856.66i | 0.385013 | − | 0.482791i | ||||
\(467\) | −1128.71 | + | 4945.18i | −0.111842 | + | 0.490012i | 0.887719 | + | 0.460386i | \(0.152289\pi\) |
−0.999561 | + | 0.0296266i | \(0.990568\pi\) | |||||||
\(468\) | −738.067 | + | 3233.68i | −0.0728999 | + | 0.319395i | ||||
\(469\) | 88.3702 | − | 13989.0i | 0.00870055 | − | 1.37730i | ||||
\(470\) | 561.676 | + | 2460.86i | 0.0551238 | + | 0.241513i | ||||
\(471\) | −3085.54 | −0.301856 | ||||||||
\(472\) | −2926.25 | −0.285363 | ||||||||
\(473\) | 4753.62 | + | 20827.0i | 0.462096 | + | 2.02458i | ||||
\(474\) | −1425.42 | − | 686.448i | −0.138126 | − | 0.0665181i | ||||
\(475\) | 16672.2 | − | 20906.3i | 1.61047 | − | 2.01946i | ||||
\(476\) | −14.0081 | + | 2217.48i | −0.00134886 | + | 0.213525i | ||||
\(477\) | 9498.57 | + | 11910.8i | 0.911760 | + | 1.14331i | ||||
\(478\) | 1199.80 | + | 5256.67i | 0.114807 | + | 0.503001i | ||||
\(479\) | 10388.3 | + | 13026.5i | 0.990926 | + | 1.24258i | 0.970077 | + | 0.242799i | \(0.0780656\pi\) |
0.0208492 | + | 0.999783i | \(0.493363\pi\) | |||||||
\(480\) | 5514.01 | + | 2655.41i | 0.524331 | + | 0.252505i | ||||
\(481\) | 314.975 | − | 394.966i | 0.0298578 | − | 0.0374405i | ||||
\(482\) | 177.739 | − | 85.5947i | 0.0167963 | − | 0.00808866i | ||||
\(483\) | 2361.01 | − | 523.216i | 0.222422 | − | 0.0492902i | ||||
\(484\) | 9283.86 | + | 4470.87i | 0.871888 | + | 0.419879i | ||||
\(485\) | 17383.2 | − | 8371.33i | 1.62749 | − | 0.783758i | ||||
\(486\) | 984.240 | − | 4312.24i | 0.0918642 | − | 0.402483i | ||||
\(487\) | −5709.55 | + | 2749.57i | −0.531262 | + | 0.255842i | −0.680229 | − | 0.733000i | \(-0.738119\pi\) |
0.148967 | + | 0.988842i | \(0.452405\pi\) | |||||||
\(488\) | −763.787 | − | 957.759i | −0.0708504 | − | 0.0888436i | ||||
\(489\) | 1746.58 | 0.161519 | ||||||||
\(490\) | −6994.63 | − | 3477.97i | −0.644868 | − | 0.320651i | ||||
\(491\) | 16578.4 | 1.52378 | 0.761888 | − | 0.647709i | \(-0.224273\pi\) | ||||
0.761888 | + | 0.647709i | \(0.224273\pi\) | |||||||
\(492\) | −2253.77 | − | 2826.14i | −0.206520 | − | 0.258968i | ||||
\(493\) | 359.562 | − | 173.156i | 0.0328476 | − | 0.0158186i | ||||
\(494\) | 911.127 | − | 3991.91i | 0.0829828 | − | 0.363572i | ||||
\(495\) | −20277.6 | + | 9765.18i | −1.84123 | + | 0.886691i | ||||
\(496\) | 7002.05 | + | 3372.01i | 0.633874 | + | 0.305257i | ||||
\(497\) | 7553.19 | + | 1774.24i | 0.681704 | + | 0.160132i | ||||
\(498\) | 1008.88 | − | 485.849i | 0.0907808 | − | 0.0437177i | ||||
\(499\) | 5222.45 | − | 6548.74i | 0.468515 | − | 0.587499i | −0.490292 | − | 0.871558i | \(-0.663110\pi\) |
0.958807 | + | 0.284059i | \(0.0916813\pi\) | |||||||
\(500\) | 6356.64 | + | 3061.20i | 0.568555 | + | 0.273802i | ||||
\(501\) | 154.668 | + | 193.947i | 0.0137925 | + | 0.0172953i | ||||
\(502\) | −677.906 | − | 2970.10i | −0.0602718 | − | 0.264068i | ||||
\(503\) | −10762.2 | − | 13495.4i | −0.954003 | − | 1.19628i | −0.980477 | − | 0.196632i | \(-0.937000\pi\) |
0.0264747 | − | 0.999649i | \(-0.491572\pi\) | |||||||
\(504\) | −7791.78 | − | 1830.28i | −0.688638 | − | 0.161761i | ||||
\(505\) | 10333.4 | − | 12957.7i | 0.910558 | − | 1.14180i | ||||
\(506\) | 4342.26 | + | 2091.12i | 0.381496 | + | 0.183719i | ||||
\(507\) | 716.406 | + | 3138.78i | 0.0627548 | + | 0.274947i | ||||
\(508\) | −4226.15 | −0.369105 | ||||||||
\(509\) | −11454.8 | −0.997497 | −0.498748 | − | 0.866747i | \(-0.666207\pi\) | ||||
−0.498748 | + | 0.866747i | \(0.666207\pi\) | |||||||
\(510\) | 181.437 | + | 794.928i | 0.0157533 | + | 0.0690197i | ||||
\(511\) | 1331.66 | + | 1075.79i | 0.115282 | + | 0.0931316i | ||||
\(512\) | 1981.00 | − | 8679.33i | 0.170993 | − | 0.749171i | ||||
\(513\) | 3027.12 | − | 13262.7i | 0.260528 | − | 1.14145i | ||||
\(514\) | −3977.29 | + | 4987.36i | −0.341305 | + | 0.427983i | ||||
\(515\) | −4621.51 | + | 5795.19i | −0.395433 | + | 0.495858i | ||||
\(516\) | 1051.67 | − | 4607.66i | 0.0897230 | − | 0.393102i | ||||
\(517\) | 1340.82 | − | 5874.50i | 0.114060 | − | 0.499730i | ||||
\(518\) | 419.334 | + | 338.763i | 0.0355685 | + | 0.0287344i | ||||
\(519\) | 831.222 | + | 3641.82i | 0.0703017 | + | 0.308012i | ||||
\(520\) | 7298.95 | 0.615539 | ||||||||
\(521\) | −15668.6 | −1.31757 | −0.658784 | − | 0.752332i | \(-0.728929\pi\) | ||||
−0.658784 | + | 0.752332i | \(0.728929\pi\) | |||||||
\(522\) | 141.741 | + | 621.006i | 0.0118847 | + | 0.0520703i | ||||
\(523\) | 3291.71 | + | 1585.20i | 0.275213 | + | 0.132535i | 0.566400 | − | 0.824131i | \(-0.308336\pi\) |
−0.291187 | + | 0.956666i | \(0.594050\pi\) | |||||||
\(524\) | 664.464 | − | 833.212i | 0.0553955 | − | 0.0694638i | ||||
\(525\) | 6424.24 | + | 1509.05i | 0.534051 | + | 0.125448i | ||||
\(526\) | 1011.77 | + | 1268.72i | 0.0838697 | + | 0.105169i | ||||
\(527\) | 1210.83 | + | 5305.00i | 0.100085 | + | 0.438500i | ||||
\(528\) | −1733.29 | − | 2173.47i | −0.142863 | − | 0.179145i | ||||
\(529\) | 6690.78 | + | 3222.11i | 0.549912 | + | 0.264823i | ||||
\(530\) | 9243.20 | − | 11590.6i | 0.757545 | − | 0.949931i | ||||
\(531\) | −3341.43 | + | 1609.15i | −0.273081 | + | 0.131509i | ||||
\(532\) | −16274.0 | − | 3822.75i | −1.32625 | − | 0.311536i | ||||
\(533\) | −6050.66 | − | 2913.84i | −0.491713 | − | 0.236796i | ||||
\(534\) | 1162.40 | − | 559.784i | 0.0941987 | − | 0.0453637i | ||||
\(535\) | −4715.68 | + | 20660.7i | −0.381078 | + | 1.66961i | ||||
\(536\) | −12566.9 | + | 6051.91i | −1.01270 | + | 0.487692i | ||||
\(537\) | 1905.17 | + | 2389.01i | 0.153099 | + | 0.191980i | ||||
\(538\) | 1355.86 | 0.108653 | ||||||||
\(539\) | 11441.5 | + | 14725.0i | 0.914323 | + | 1.17672i | ||||
\(540\) | 10723.6 | 0.854574 | ||||||||
\(541\) | 6273.90 | + | 7867.22i | 0.498588 | + | 0.625209i | 0.965910 | − | 0.258878i | \(-0.0833526\pi\) |
−0.467322 | + | 0.884087i | \(0.654781\pi\) | |||||||
\(542\) | 7281.88 | − | 3506.77i | 0.577091 | − | 0.277912i | ||||
\(543\) | 107.449 | − | 470.764i | 0.00849183 | − | 0.0372052i | ||||
\(544\) | 3103.20 | − | 1494.42i | 0.244575 | − | 0.117781i | ||||
\(545\) | −6984.15 | − | 3363.39i | −0.548932 | − | 0.264352i | ||||
\(546\) | 986.549 | − | 218.626i | 0.0773267 | − | 0.0171361i | ||||
\(547\) | −661.926 | + | 318.767i | −0.0517402 | + | 0.0249168i | −0.459575 | − | 0.888139i | \(-0.651998\pi\) |
0.407835 | + | 0.913056i | \(0.366284\pi\) | |||||||
\(548\) | −3842.17 | + | 4817.93i | −0.299506 | + | 0.375569i | ||||
\(549\) | −1398.83 | − | 673.640i | −0.108744 | − | 0.0523684i | ||||
\(550\) | 8199.95 | + | 10282.4i | 0.635722 | + | 0.797170i | ||||
\(551\) | 669.457 | + | 2933.08i | 0.0517601 | + | 0.226776i | ||||
\(552\) | −1503.35 | − | 1885.15i | −0.115918 | − | 0.145357i | ||||
\(553\) | −75.8061 | + | 12000.1i | −0.00582930 | + | 0.922779i | ||||
\(554\) | −3208.04 | + | 4022.76i | −0.246023 | + | 0.308503i | ||||
\(555\) | −683.269 | − | 329.045i | −0.0522580 | − | 0.0251661i | ||||
\(556\) | 476.984 | + | 2089.80i | 0.0363824 | + | 0.159402i | ||||
\(557\) | 3149.41 | 0.239578 | 0.119789 | − | 0.992799i | \(-0.461778\pi\) | ||||
0.119789 | + | 0.992799i | \(0.461778\pi\) | |||||||
\(558\) | −8685.06 | −0.658903 | ||||||||
\(559\) | −1953.84 | − | 8560.35i | −0.147833 | − | 0.647700i | ||||
\(560\) | 55.7992 | − | 8833.02i | 0.00421062 | − | 0.666542i | ||||
\(561\) | 433.122 | − | 1897.63i | 0.0325961 | − | 0.142813i | ||||
\(562\) | −675.550 | + | 2959.78i | −0.0507053 | + | 0.222154i | ||||
\(563\) | 15060.9 | − | 18885.7i | 1.12743 | − | 1.41375i | 0.229660 | − | 0.973271i | \(-0.426238\pi\) |
0.897765 | − | 0.440476i | \(-0.145190\pi\) | |||||||
\(564\) | −831.155 | + | 1042.24i | −0.0620531 | + | 0.0778121i | ||||
\(565\) | −3909.69 | + | 17129.5i | −0.291119 | + | 1.27547i | ||||
\(566\) | −510.643 | + | 2237.27i | −0.0379221 | + | 0.166148i | ||||
\(567\) | −8147.99 | + | 1805.65i | −0.603498 | + | 0.133739i | ||||
\(568\) | −1721.42 | − | 7542.04i | −0.127164 | − | 0.557143i | ||||
\(569\) | −3957.28 | −0.291560 | −0.145780 | − | 0.989317i | \(-0.546569\pi\) | ||||
−0.145780 | + | 0.989317i | \(0.546569\pi\) | |||||||
\(570\) | −6146.72 | −0.451681 | ||||||||
\(571\) | −5976.55 | − | 26185.0i | −0.438022 | − | 1.91910i | −0.391487 | − | 0.920184i | \(-0.628039\pi\) |
−0.0465353 | − | 0.998917i | \(-0.514818\pi\) | |||||||
\(572\) | −6941.96 | − | 3343.07i | −0.507444 | − | 0.244372i | ||||
\(573\) | −1941.68 | + | 2434.79i | −0.141562 | + | 0.177513i | ||||
\(574\) | 3150.07 | − | 6436.85i | 0.229062 | − | 0.468064i | ||||
\(575\) | −8065.97 | − | 10114.4i | −0.584999 | − | 0.733565i | ||||
\(576\) | 99.9348 | + | 437.843i | 0.00722908 | + | 0.0316727i | ||||
\(577\) | 7058.50 | + | 8851.08i | 0.509271 | + | 0.638605i | 0.968292 | − | 0.249820i | \(-0.0803714\pi\) |
−0.459022 | + | 0.888425i | \(0.651800\pi\) | |||||||
\(578\) | −5285.68 | − | 2545.45i | −0.380373 | − | 0.183178i | ||||
\(579\) | −5446.76 | + | 6830.02i | −0.390949 | + | 0.490235i | ||||
\(580\) | −2136.70 | + | 1028.98i | −0.152968 | + | 0.0736656i | ||||
\(581\) | −6606.93 | − | 5337.47i | −0.471775 | − | 0.381129i | ||||
\(582\) | −2399.51 | − | 1155.54i | −0.170898 | − | 0.0823003i | ||||
\(583\) | −31885.0 | + | 15355.0i | −2.26508 | + | 1.09080i | ||||
\(584\) | 379.817 | − | 1664.09i | 0.0269126 | − | 0.117912i | ||||
\(585\) | 8334.55 | − | 4013.71i | 0.589045 | − | 0.283669i | ||||
\(586\) | −1125.72 | − | 1411.61i | −0.0793567 | − | 0.0995102i | ||||
\(587\) | 13346.6 | 0.938457 | 0.469228 | − | 0.883077i | \(-0.344532\pi\) | ||||
0.469228 | + | 0.883077i | \(0.344532\pi\) | |||||||
\(588\) | −867.125 | − | 4033.35i | −0.0608157 | − | 0.282879i | ||||
\(589\) | −41020.5 | −2.86965 | ||||||||
\(590\) | 2250.18 | + | 2821.63i | 0.157014 | + | 0.196889i | ||||
\(591\) | 5599.86 | − | 2696.75i | 0.389759 | − | 0.187698i | ||||
\(592\) | −135.643 | + | 594.291i | −0.00941706 | + | 0.0412588i | ||||
\(593\) | −39.7069 | + | 19.1218i | −0.00274969 | + | 0.00132418i | −0.435258 | − | 0.900306i | \(-0.643343\pi\) |
0.432508 | + | 0.901630i | \(0.357629\pi\) | |||||||
\(594\) | 6028.20 | + | 2903.03i | 0.416397 | + | 0.200526i | ||||
\(595\) | 4859.62 | − | 3825.45i | 0.334832 | − | 0.263577i | ||||
\(596\) | 15994.5 | − | 7702.55i | 1.09926 | − | 0.529377i | ||||
\(597\) | 4626.05 | − | 5800.89i | 0.317139 | − | 0.397679i | ||||
\(598\) | −1784.77 | − | 859.499i | −0.122048 | − | 0.0587751i | ||||
\(599\) | 6146.01 | + | 7706.86i | 0.419231 | + | 0.525699i | 0.945938 | − | 0.324348i | \(-0.105145\pi\) |
−0.526707 | + | 0.850047i | \(0.676573\pi\) | |||||||
\(600\) | −1464.13 | − | 6414.75i | −0.0996212 | − | 0.436469i | ||||
\(601\) | −132.100 | − | 165.648i | −0.00896583 | − | 0.0112428i | 0.777328 | − | 0.629095i | \(-0.216574\pi\) |
−0.786294 | + | 0.617852i | \(0.788003\pi\) | |||||||
\(602\) | 9147.69 | − | 2027.19i | 0.619322 | − | 0.137246i | ||||
\(603\) | −11022.0 | + | 13821.1i | −0.744362 | + | 0.933401i | ||||
\(604\) | 3288.43 | + | 1583.63i | 0.221531 | + | 0.106683i | ||||
\(605\) | −6394.95 | − | 28018.1i | −0.429738 | − | 1.88281i | ||||
\(606\) | −2287.74 | −0.153355 | ||||||||
\(607\) | 8525.32 | 0.570069 | 0.285035 | − | 0.958517i | \(-0.407995\pi\) | ||||
0.285035 | + | 0.958517i | \(0.407995\pi\) | |||||||
\(608\) | 5777.76 | + | 25314.0i | 0.385393 | + | 1.68852i | ||||
\(609\) | −583.391 | + | 459.240i | −0.0388181 | + | 0.0305572i | ||||
\(610\) | −336.194 | + | 1472.96i | −0.0223149 | + | 0.0977680i | ||||
\(611\) | −551.106 | + | 2414.55i | −0.0364899 | + | 0.159873i | ||||
\(612\) | 1747.16 | − | 2190.87i | 0.115400 | − | 0.144707i | ||||
\(613\) | −10887.7 | + | 13652.8i | −0.717375 | + | 0.899560i | −0.998186 | − | 0.0602028i | \(-0.980825\pi\) |
0.280811 | + | 0.959763i | \(0.409397\pi\) | |||||||
\(614\) | −517.849 | + | 2268.85i | −0.0340370 | + | 0.149126i | ||||
\(615\) | −2243.36 | + | 9828.81i | −0.147091 | + | 0.644449i | ||||
\(616\) | 8172.81 | − | 16700.3i | 0.534565 | − | 1.09233i | ||||
\(617\) | 1121.17 | + | 4912.17i | 0.0731551 | + | 0.320513i | 0.998244 | − | 0.0592375i | \(-0.0188669\pi\) |
−0.925089 | + | 0.379751i | \(0.876010\pi\) | |||||||
\(618\) | 1023.17 | 0.0665984 | ||||||||
\(619\) | 2817.27 | 0.182933 | 0.0914665 | − | 0.995808i | \(-0.470845\pi\) | ||||
0.0914665 | + | 0.995808i | \(0.470845\pi\) | |||||||
\(620\) | −7195.37 | − | 31525.0i | −0.466086 | − | 2.04206i | ||||
\(621\) | −5929.70 | − | 2855.59i | −0.383173 | − | 0.184527i | ||||
\(622\) | −7736.97 | + | 9701.85i | −0.498753 | + | 0.625416i | ||||
\(623\) | −7612.34 | − | 6149.71i | −0.489538 | − | 0.395478i | ||||
\(624\) | 712.420 | + | 893.347i | 0.0457045 | + | 0.0573117i | ||||
\(625\) | 847.546 | + | 3713.34i | 0.0542429 | + | 0.237654i | ||||
\(626\) | −4024.26 | − | 5046.27i | −0.256936 | − | 0.322187i | ||||
\(627\) | 13220.2 | + | 6366.50i | 0.842046 | + | 0.405508i | ||||
\(628\) | 6433.87 | − | 8067.82i | 0.408821 | − | 0.512645i | ||||
\(629\) | −384.534 | + | 185.182i | −0.0243758 | + | 0.0117388i | ||||
\(630\) | 4226.74 | + | 8920.63i | 0.267297 | + | 0.564137i | ||||
\(631\) | 22980.0 | + | 11066.6i | 1.44979 | + | 0.698184i | 0.982559 | − | 0.185949i | \(-0.0595358\pi\) |
0.467235 | + | 0.884133i | \(0.345250\pi\) | |||||||
\(632\) | 10780.2 | − | 5191.48i | 0.678503 | − | 0.326750i | ||||
\(633\) | −845.588 | + | 3704.76i | −0.0530950 | + | 0.232624i | ||||
\(634\) | 9216.88 | − | 4438.61i | 0.577364 | − | 0.278044i | ||||
\(635\) | 7348.89 | + | 9215.22i | 0.459263 | + | 0.575897i | ||||
\(636\) | 7829.43 | 0.488140 | ||||||||
\(637\) | −4702.71 | − | 6052.32i | −0.292509 | − | 0.376455i | ||||
\(638\) | −1479.69 | −0.0918205 | ||||||||
\(639\) | −6113.05 | − | 7665.52i | −0.378448 | − | 0.474559i | ||||
\(640\) | −22866.9 | + | 11012.1i | −1.41233 | + | 0.680144i | ||||
\(641\) | 1902.48 | − | 8335.32i | 0.117229 | − | 0.513612i | −0.881883 | − | 0.471468i | \(-0.843724\pi\) |
0.999112 | − | 0.0421437i | \(-0.0134187\pi\) | |||||||
\(642\) | 2635.57 | − | 1269.22i | 0.162021 | − | 0.0780254i | ||||
\(643\) | −5286.30 | − | 2545.75i | −0.324216 | − | 0.156134i | 0.264695 | − | 0.964332i | \(-0.414729\pi\) |
−0.588911 | + | 0.808198i | \(0.700443\pi\) | |||||||
\(644\) | −3555.05 | + | 7264.38i | −0.217529 | + | 0.444498i | ||||
\(645\) | −11875.8 | + | 5719.11i | −0.724978 | + | 0.349131i | ||||
\(646\) | −2156.83 | + | 2704.58i | −0.131361 | + | 0.164722i | ||||
\(647\) | 10624.1 | + | 5116.32i | 0.645561 | + | 0.310886i | 0.727864 | − | 0.685722i | \(-0.240513\pi\) |
−0.0823029 | + | 0.996607i | \(0.526227\pi\) | |||||||
\(648\) | 5188.16 | + | 6505.75i | 0.314522 | + | 0.394398i | ||||
\(649\) | −1917.09 | − | 8399.30i | −0.115951 | − | 0.508014i | ||||
\(650\) | −3370.37 | − | 4226.30i | −0.203379 | − | 0.255030i | ||||
\(651\) | −4334.63 | − | 9148.35i | −0.260964 | − | 0.550771i | ||||
\(652\) | −3641.91 | + | 4566.81i | −0.218755 | + | 0.274310i | ||||
\(653\) | 2796.55 | + | 1346.75i | 0.167592 | + | 0.0807079i | 0.515799 | − | 0.856710i | \(-0.327495\pi\) |
−0.348207 | + | 0.937418i | \(0.613209\pi\) | |||||||
\(654\) | 238.104 | + | 1043.20i | 0.0142364 | + | 0.0623737i | ||||
\(655\) | −2972.28 | −0.177308 | ||||||||
\(656\) | 8103.51 | 0.482300 | ||||||||
\(657\) | −481.379 | − | 2109.06i | −0.0285850 | − | 0.125239i | ||||
\(658\) | −2572.79 | − | 604.346i | −0.152428 | − | 0.0358053i | ||||
\(659\) | 5359.57 | − | 23481.8i | 0.316812 | − | 1.38804i | −0.526297 | − | 0.850301i | \(-0.676420\pi\) |
0.843109 | − | 0.537743i | \(-0.180723\pi\) | |||||||
\(660\) | −2573.83 | + | 11276.7i | −0.151797 | + | 0.665066i | ||||
\(661\) | −8709.11 | + | 10920.9i | −0.512474 | + | 0.642622i | −0.968992 | − | 0.247092i | \(-0.920525\pi\) |
0.456518 | + | 0.889714i | \(0.349096\pi\) | |||||||
\(662\) | −3922.46 | + | 4918.61i | −0.230288 | + | 0.288772i | ||||
\(663\) | −178.023 | + | 779.968i | −0.0104281 | + | 0.0456885i | ||||
\(664\) | −1884.44 | + | 8256.27i | −0.110136 | + | 0.482539i | ||||
\(665\) | 19963.4 | + | 42133.2i | 1.16413 | + | 2.45692i | ||||
\(666\) | −151.585 | − | 664.136i | −0.00881950 | − | 0.0386407i | ||||
\(667\) | 1455.51 | 0.0844943 | ||||||||
\(668\) | −829.626 | −0.0480527 | ||||||||
\(669\) | −1740.42 | − | 7625.26i | −0.100581 | − | 0.440672i | ||||
\(670\) | 15499.0 | + | 7463.94i | 0.893702 | + | 0.430384i | ||||
\(671\) | 2248.70 | − | 2819.78i | 0.129374 | − | 0.162230i | ||||
\(672\) | −5034.97 | + | 3963.48i | −0.289030 | + | 0.227522i | ||||
\(673\) | 1673.30 | + | 2098.25i | 0.0958410 | + | 0.120181i | 0.827439 | − | 0.561555i | \(-0.189797\pi\) |
−0.731598 | + | 0.681736i | \(0.761225\pi\) | |||||||
\(674\) | −2211.75 | − | 9690.32i | −0.126400 | − | 0.553794i | ||||
\(675\) | −11197.7 | − | 14041.4i | −0.638517 | − | 0.800675i | ||||
\(676\) | −9700.86 | − | 4671.69i | −0.551938 | − | 0.265799i | ||||
\(677\) | 11840.8 | − | 14847.9i | 0.672200 | − | 0.842912i | −0.322410 | − | 0.946600i | \(-0.604493\pi\) |
0.994610 | + | 0.103688i | \(0.0330645\pi\) | |||||||
\(678\) | 2185.11 | − | 1052.29i | 0.123774 | − | 0.0596063i | ||||
\(679\) | −127.609 | + | 20200.6i | −0.00721237 | + | 1.14172i | ||||
\(680\) | −5555.83 | − | 2675.55i | −0.313318 | − | 0.150886i | ||||
\(681\) | −1406.24 | + | 677.212i | −0.0791298 | + | 0.0381069i | ||||
\(682\) | 4489.43 | − | 19669.5i | 0.252066 | − | 1.10437i | ||||
\(683\) | 9716.05 | − | 4679.00i | 0.544325 | − | 0.262133i | −0.141451 | − | 0.989945i | \(-0.545177\pi\) |
0.685777 | + | 0.727812i | \(0.259463\pi\) | |||||||
\(684\) | 13171.1 | + | 16516.0i | 0.736270 | + | 0.923253i | ||||
\(685\) | 17186.8 | 0.958648 | ||||||||
\(686\) | 6489.97 | − | 4977.34i | 0.361207 | − | 0.277020i | ||||
\(687\) | 8090.92 | 0.449327 | ||||||||
\(688\) | 6605.86 | + | 8283.48i | 0.366055 | + | 0.459019i | ||||
\(689\) | 13105.4 | − | 6311.25i | 0.724641 | − | 0.348969i | ||||
\(690\) | −661.727 | + | 2899.21i | −0.0365094 | + | 0.159958i | ||||
\(691\) | 21120.5 | − | 10171.1i | 1.16275 | − | 0.559951i | 0.249911 | − | 0.968269i | \(-0.419599\pi\) |
0.912840 | + | 0.408317i | \(0.133884\pi\) | |||||||
\(692\) | −11255.6 | − | 5420.40i | −0.618314 | − | 0.297764i | ||||
\(693\) | 148.857 | − | 23564.1i | 0.00815960 | − | 1.29167i | ||||
\(694\) | −1144.08 | + | 550.961i | −0.0625775 | + | 0.0301357i | ||||
\(695\) | 3727.43 | − | 4674.05i | 0.203438 | − | 0.255103i | ||||
\(696\) | 666.970 | + | 321.196i | 0.0363239 | + | 0.0174927i | ||||
\(697\) | 3537.53 | + | 4435.92i | 0.192243 | + | 0.241065i | ||||
\(698\) | −3131.78 | − | 13721.2i | −0.169828 | − | 0.744064i | ||||
\(699\) | −5704.78 | − | 7153.57i | −0.308690 | − | 0.387085i | ||||
\(700\) | −17341.4 | + | 13651.0i | −0.936345 | + | 0.737082i | ||||
\(701\) | −6212.80 | + | 7790.60i | −0.334742 | + | 0.419753i | −0.920506 | − | 0.390729i | \(-0.872223\pi\) |
0.585764 | + | 0.810482i | \(0.300795\pi\) | |||||||
\(702\) | −2477.72 | − | 1193.21i | −0.133213 | − | 0.0641521i | ||||
\(703\) | −715.952 | − | 3136.79i | −0.0384106 | − | 0.168288i | ||||
\(704\) | −1043.26 | −0.0558514 | ||||||||
\(705\) | 3717.92 | 0.198617 | ||||||||
\(706\) | 2483.18 | + | 10879.5i | 0.132373 | + | 0.579966i | ||||
\(707\) | 7430.15 | + | 15681.5i | 0.395247 | + | 0.834177i | ||||
\(708\) | −424.127 | + | 1858.22i | −0.0225136 | + | 0.0986387i | ||||
\(709\) | 4128.18 | − | 18086.7i | 0.218670 | − | 0.958055i | −0.739792 | − | 0.672835i | \(-0.765076\pi\) |
0.958462 | − | 0.285220i | \(-0.0920666\pi\) | |||||||
\(710\) | −5948.70 | + | 7459.43i | −0.314437 | + | 0.394292i | ||||
\(711\) | 9454.94 | − | 11856.1i | 0.498717 | − | 0.625371i | ||||
\(712\) | −2171.21 | + | 9512.68i | −0.114283 | + | 0.500706i | ||||
\(713\) | −4416.07 | + | 19348.1i | −0.231954 | + | 1.01626i | ||||
\(714\) | −831.083 | − | 195.221i | −0.0435609 | − | 0.0102324i | ||||
\(715\) | 4781.79 | + | 20950.4i | 0.250110 | + | 1.09581i | ||||
\(716\) | −10219.2 | −0.533394 | ||||||||
\(717\) | 7941.87 | 0.413660 | ||||||||
\(718\) | 659.650 | + | 2890.12i | 0.0342868 | + | 0.150220i | ||||
\(719\) | 25934.5 | + | 12489.4i | 1.34519 | + | 0.647811i | 0.961284 | − | 0.275559i | \(-0.0888630\pi\) |
0.383910 | + | 0.923371i | \(0.374577\pi\) | |||||||
\(720\) | −6959.57 | + | 8727.03i | −0.360233 | + | 0.451718i | ||||
\(721\) | −3323.05 | − | 7013.37i | −0.171646 | − | 0.362263i | ||||
\(722\) | −10753.3 | − | 13484.2i | −0.554289 | − | 0.695057i | ||||
\(723\) | −64.6591 | − | 283.290i | −0.00332600 | − | 0.0145721i | ||||
\(724\) | 1006.87 | + | 1262.57i | 0.0516849 | + | 0.0648108i | ||||
\(725\) | 3578.50 | + | 1723.32i | 0.183313 | + | 0.0882791i | ||||
\(726\) | −2473.36 | + | 3101.49i | −0.126439 | + | 0.158550i | ||||
\(727\) | 22660.6 | − | 10912.8i | 1.15603 | − | 0.556716i | 0.245192 | − | 0.969474i | \(-0.421149\pi\) |
0.910841 | + | 0.412758i | \(0.135435\pi\) | |||||||
\(728\) | −3359.21 | + | 6864.21i | −0.171017 | + | 0.349457i | ||||
\(729\) | 5092.12 | + | 2452.24i | 0.258707 | + | 0.124587i | ||||
\(730\) | −1896.66 | + | 913.384i | −0.0961624 | + | 0.0463094i | ||||
\(731\) | −1650.70 | + | 7232.19i | −0.0835203 | + | 0.365927i | ||||
\(732\) | −718.896 | + | 346.202i | −0.0362994 | + | 0.0174809i | ||||
\(733\) | −17132.3 | − | 21483.2i | −0.863294 | − | 1.08254i | −0.995818 | − | 0.0913561i | \(-0.970880\pi\) |
0.132525 | − | 0.991180i | \(-0.457692\pi\) | |||||||
\(734\) | −701.539 | −0.0352783 | ||||||||
\(735\) | −7286.96 | + | 8904.42i | −0.365692 | + | 0.446863i | ||||
\(736\) | 12561.8 | 0.629124 | ||||||||
\(737\) | −25604.0 | − | 32106.4i | −1.27969 | − | 1.60469i | ||||
\(738\) | −8159.07 | + | 3929.20i | −0.406964 | + | 0.195983i | ||||
\(739\) | −136.978 | + | 600.138i | −0.00681841 | + | 0.0298734i | −0.978223 | − | 0.207558i | \(-0.933448\pi\) |
0.971404 | + | 0.237432i | \(0.0763055\pi\) | |||||||
\(740\) | 2285.09 | − | 1100.44i | 0.113516 | − | 0.0546663i | ||||
\(741\) | −5433.79 | − | 2616.77i | −0.269386 | − | 0.129729i | ||||
\(742\) | 6646.22 | + | 14027.0i | 0.328828 | + | 0.693999i | ||||
\(743\) | 400.530 | − | 192.885i | 0.0197766 | − | 0.00952392i | −0.423969 | − | 0.905677i | \(-0.639364\pi\) |
0.443746 | + | 0.896153i | \(0.353649\pi\) | |||||||
\(744\) | −6293.25 | + | 7891.49i | −0.310110 | + | 0.388865i | ||||
\(745\) | −44608.6 | − | 21482.4i | −2.19373 | − | 1.05645i | ||||
\(746\) | 310.628 | + | 389.515i | 0.0152452 | + | 0.0191168i | ||||
\(747\) | 2388.33 | + | 10464.0i | 0.116980 | + | 0.512525i | ||||
\(748\) | 4058.64 | + | 5089.37i | 0.198394 | + | 0.248778i | ||||
\(749\) | −17259.8 | − | 13943.5i | −0.842003 | − | 0.680221i | ||||
\(750\) | −1693.50 | + | 2123.59i | −0.0824507 | + | 0.103390i | ||||
\(751\) | −16528.4 | − | 7959.65i | −0.803102 | − | 0.386753i | −0.0131432 | − | 0.999914i | \(-0.504184\pi\) |
−0.789959 | + | 0.613160i | \(0.789898\pi\) | |||||||
\(752\) | −664.991 | − | 2913.52i | −0.0322470 | − | 0.141283i | ||||
\(753\) | −4487.28 | −0.217166 | ||||||||
\(754\) | 608.186 | 0.0293751 | ||||||||
\(755\) | −2265.15 | − | 9924.28i | −0.109189 | − | 0.478386i | ||||
\(756\) | −4935.33 | + | 10084.9i | −0.237429 | + | 0.485162i | ||||
\(757\) | −8651.68 | + | 37905.5i | −0.415391 | + | 1.81995i | 0.142210 | + | 0.989837i | \(0.454579\pi\) |
−0.557601 | + | 0.830109i | \(0.688278\pi\) | |||||||
\(758\) | 1210.78 | − | 5304.77i | 0.0580178 | − | 0.254193i | ||||
\(759\) | 4426.09 | − | 5550.15i | 0.211669 | − | 0.265425i | ||||
\(760\) | 28983.9 | − | 36344.6i | 1.38336 | − | 1.73468i | ||||
\(761\) | 7674.20 | − | 33622.9i | 0.365558 | − | 1.60161i | −0.373273 | − | 0.927722i | \(-0.621764\pi\) |
0.738830 | − | 0.673891i | \(-0.235378\pi\) | |||||||
\(762\) | 362.039 | − | 1586.20i | 0.0172117 | − | 0.0754092i | ||||
\(763\) | 6377.38 | − | 5020.22i | 0.302591 | − | 0.238197i | ||||
\(764\) | −2317.56 | − | 10153.9i | −0.109747 | − | 0.480832i | ||||
\(765\) | −7815.39 | −0.369367 | ||||||||
\(766\) | −5887.87 | −0.277725 | ||||||||
\(767\) | 787.965 | + | 3452.30i | 0.0370949 | + | 0.162523i | ||||
\(768\) | 3418.75 | + | 1646.38i | 0.160630 | + | 0.0773552i | ||||
\(769\) | 4964.56 | − | 6225.36i | 0.232804 | − | 0.291928i | −0.651683 | − | 0.758491i | \(-0.725937\pi\) |
0.884488 | + | 0.466564i | \(0.154508\pi\) | |||||||
\(770\) | −22387.9 | + | 4961.30i | −1.04780 | + | 0.232199i | ||||
\(771\) | 5858.30 | + | 7346.08i | 0.273647 | + | 0.343142i | ||||
\(772\) | −6501.17 | − | 28483.5i | −0.303086 | − | 1.32791i | ||||
\(773\) | 9706.88 | + | 12172.0i | 0.451659 | + | 0.566362i | 0.954574 | − | 0.297974i | \(-0.0963107\pi\) |
−0.502916 | + | 0.864336i | \(0.667739\pi\) | |||||||
\(774\) | −10667.6 | − | 5137.25i | −0.495399 | − | 0.238572i | ||||
\(775\) | −33765.3 | + | 42340.3i | −1.56501 | + | 1.96246i | ||||
\(776\) | 18147.0 | − | 8739.16i | 0.839486 | − | 0.404275i | ||||
\(777\) | 623.908 | − | 491.135i | 0.0288064 | − | 0.0226761i | ||||
\(778\) | 14761.3 | + | 7108.65i | 0.680228 | + | 0.327580i | ||||
\(779\) | −38536.2 | + | 18558.1i | −1.77240 | + | 0.853545i | ||||
\(780\) | 1057.90 | − | 4634.96i | 0.0485627 | − | 0.212767i | ||||
\(781\) | 20520.4 | − | 9882.10i | 0.940176 | − | 0.452765i | ||||
\(782\) | 1043.47 | + | 1308.47i | 0.0477166 | + | 0.0598347i | ||||
\(783\) | 2020.63 | 0.0922241 | ||||||||
\(784\) | 8281.22 | + | 4117.71i | 0.377242 | + | 0.187578i | ||||
\(785\) | −28780.0 | −1.30854 | ||||||||
\(786\) | 255.806 | + | 320.770i | 0.0116085 | + | 0.0145566i | ||||
\(787\) | 23743.6 | − | 11434.3i | 1.07544 | − | 0.517904i | 0.189582 | − | 0.981865i | \(-0.439287\pi\) |
0.885855 | + | 0.463961i | \(0.153572\pi\) | |||||||
\(788\) | −4625.41 | + | 20265.2i | −0.209103 | + | 0.916141i | ||||
\(789\) | 2153.52 | − | 1037.08i | 0.0971703 | − | 0.0467947i | ||||
\(790\) | −13295.5 | − | 6402.75i | −0.598773 | − | 0.288354i | ||||
\(791\) | −14309.8 | − | 11560.4i | −0.643236 | − | 0.519645i | ||||
\(792\) | −21168.6 | + | 10194.3i | −0.949738 | + | 0.457370i | ||||
\(793\) | −924.266 | + | 1158.99i | −0.0413892 | + | 0.0519005i | ||||
\(794\) | 12701.4 | + | 6116.69i | 0.567705 | + | 0.273392i | ||||
\(795\) | −13614.7 | − | 17072.2i | −0.607374 | − | 0.761623i | ||||
\(796\) | 5521.59 | + | 24191.7i | 0.245864 | + | 1.07720i | ||||
\(797\) | 22639.3 | + | 28388.8i | 1.00618 | + | 1.26171i | 0.964915 | + | 0.262563i | \(0.0845677\pi\) |
0.0412660 | + | 0.999148i | \(0.486861\pi\) | |||||||
\(798\) | 2828.92 | − | 5780.61i | 0.125492 | − | 0.256430i | ||||
\(799\) | 1304.58 | − | 1635.90i | 0.0577633 | − | 0.0724328i | ||||
\(800\) | 30884.3 | + | 14873.1i | 1.36491 | + | 0.657305i | ||||
\(801\) | 2751.78 | + | 12056.3i | 0.121385 | + | 0.531822i | ||||
\(802\) | 1217.00 | 0.0535831 | ||||||||
\(803\) | 5025.32 | 0.220846 | ||||||||
\(804\) | 2021.64 | + | 8857.37i | 0.0886787 | + | 0.388527i | ||||
\(805\) | 22022.0 | − | 4880.24i | 0.964193 | − | 0.213672i | ||||
\(806\) | −1845.26 | + | 8084.59i | −0.0806406 | + | 0.353310i | ||||
\(807\) | 444.395 | − | 1947.02i | 0.0193847 | − | 0.0849300i | ||||
\(808\) | 10787.5 | − | 13527.1i | 0.469681 | − | 0.588961i | ||||
\(809\) | −4382.67 | + | 5495.69i | −0.190465 | + | 0.238836i | −0.867890 | − | 0.496756i | \(-0.834524\pi\) |
0.677425 | + | 0.735592i | \(0.263096\pi\) | |||||||
\(810\) | 2283.66 | − | 10005.4i | 0.0990612 | − | 0.434015i | ||||
\(811\) | −6566.54 | + | 28769.9i | −0.284319 | + | 1.24568i | 0.607877 | + | 0.794031i | \(0.292021\pi\) |
−0.892195 | + | 0.451650i | \(0.850836\pi\) | |||||||
\(812\) | 15.6854 | − | 2483.00i | 0.000677893 | − | 0.107311i | ||||
\(813\) | −2649.04 | − | 11606.2i | −0.114276 | − | 0.500674i | ||||
\(814\) | 1582.46 | 0.0681389 | ||||||||
\(815\) | 16291.0 | 0.700182 | ||||||||
\(816\) | −214.811 | − | 941.148i | −0.00921554 | − | 0.0403759i | ||||
\(817\) | −50384.3 | − | 24263.8i | −2.15756 | − | 1.03902i | ||||
\(818\) | 86.1724 | − | 108.057i | 0.00368331 | − | 0.00461873i | ||||
\(819\) | −61.1835 | + | 9685.36i | −0.00261041 | + | 0.413228i | ||||
\(820\) | −21021.8 | − | 26360.5i | −0.895260 | − | 1.12262i | ||||
\(821\) | 6279.04 | + | 27510.3i | 0.266919 | + | 1.16945i | 0.913577 | + | 0.406667i | \(0.133309\pi\) |
−0.646658 | + | 0.762780i | \(0.723834\pi\) | |||||||
\(822\) | −1479.16 | − | 1854.81i | −0.0627636 | − | 0.0787031i | ||||
\(823\) | −17722.0 | − | 8534.48i | −0.750609 | − | 0.361474i | 0.0191432 | − | 0.999817i | \(-0.493906\pi\) |
−0.769753 | + | 0.638342i | \(0.779620\pi\) | |||||||
\(824\) | −4824.58 | + | 6049.83i | −0.203971 | + | 0.255772i | ||||
\(825\) | 17453.3 | − | 8405.05i | 0.736539 | − | 0.354698i | ||||
\(826\) | −3689.17 | + | 817.545i | −0.155403 | + | 0.0344383i | ||||
\(827\) | −36489.7 | − | 17572.5i | −1.53431 | − | 0.738883i | −0.539627 | − | 0.841904i | \(-0.681435\pi\) |
−0.994679 | + | 0.103021i | \(0.967149\pi\) | |||||||
\(828\) | 9208.00 | − | 4434.34i | 0.386474 | − | 0.186116i | ||||
\(829\) | 9141.83 | − | 40053.0i | 0.383002 | − | 1.67804i | −0.305014 | − | 0.952348i | \(-0.598661\pi\) |
0.688016 | − | 0.725695i | \(-0.258482\pi\) | |||||||
\(830\) | 9410.17 | − | 4531.70i | 0.393532 | − | 0.189515i | ||||
\(831\) | 4725.25 | + | 5925.28i | 0.197253 | + | 0.247347i | ||||
\(832\) | 428.804 | 0.0178679 | ||||||||
\(833\) | 1361.04 | + | 6330.76i | 0.0566115 | + | 0.263323i | ||||
\(834\) | −825.224 | −0.0342628 | ||||||||
\(835\) | 1442.64 | + | 1809.02i | 0.0597901 | + | 0.0749744i | ||||
\(836\) | −44212.9 | + | 21291.8i | −1.82911 | + | 0.880852i | ||||
\(837\) | −6130.66 | + | 26860.2i | −0.253174 | + | 1.10923i | ||||
\(838\) | −3977.32 | + | 1915.37i | −0.163955 | + | 0.0789565i | ||||
\(839\) | 16342.6 | + | 7870.18i | 0.672478 | + | 0.323848i | 0.738776 | − | 0.673951i | \(-0.235404\pi\) |
−0.0662974 | + | 0.997800i | \(0.521119\pi\) | |||||||
\(840\) | 11168.3 | + | 2623.42i | 0.458740 | + | 0.107758i | ||||
\(841\) | 21571.1 | − | 10388.1i | 0.884461 | − | 0.425934i | ||||
\(842\) | −9220.00 | + | 11561.5i | −0.377366 | + | 0.473202i | ||||
\(843\) | 4028.85 | + | 1940.19i | 0.164604 | + | 0.0792690i | ||||
\(844\) | −7923.72 | − | 9936.03i | −0.323159 | − | 0.405228i | ||||
\(845\) | 6682.19 | + | 29276.6i | 0.272040 | + | 1.19189i | ||||
\(846\) | 2082.24 | + | 2611.05i | 0.0846206 | + | 0.106111i | ||||
\(847\) | 29292.4 | + | 6880.77i | 1.18831 | + | 0.279133i | ||||
\(848\) | −10943.4 | + | 13722.6i | −0.443157 | + | 0.555702i | ||||
\(849\) | 3045.38 | + | 1466.58i | 0.123106 | + | 0.0592848i | ||||
\(850\) | 1016.24 | + | 4452.44i | 0.0410080 | + | 0.179668i | ||||
\(851\) | −1556.60 | −0.0627022 | ||||||||
\(852\) | −5038.83 | −0.202614 | ||||||||
\(853\) | −7516.98 | − | 32934.0i | −0.301731 | − | 1.32197i | −0.867513 | − | 0.497415i | \(-0.834283\pi\) |
0.565782 | − | 0.824555i | \(-0.308574\pi\) | |||||||
\(854\) | −1230.50 | − | 994.073i | −0.0493055 | − | 0.0398319i | ||||
\(855\) | 13110.2 | − | 57439.6i | 0.524398 | − | 2.29754i | ||||
\(856\) | −4922.88 | + | 21568.6i | −0.196566 | + | 0.861213i | ||||
\(857\) | 4820.47 | − | 6044.68i | 0.192140 | − | 0.240936i | −0.676424 | − | 0.736512i | \(-0.736471\pi\) |
0.868565 | + | 0.495576i | \(0.165043\pi\) | |||||||
\(858\) | 1849.44 | − | 2319.13i | 0.0735885 | − | 0.0922771i | ||||
\(859\) | 9954.20 | − | 43612.2i | 0.395382 | − | 1.73228i | −0.249842 | − | 0.968287i | \(-0.580379\pi\) |
0.645224 | − | 0.763994i | \(-0.276764\pi\) | |||||||
\(860\) | 9809.29 | − | 42977.3i | 0.388947 | − | 1.70409i | ||||
\(861\) | −8210.91 | − | 6633.27i | −0.325003 | − | 0.262557i | ||||
\(862\) | 843.522 | + | 3695.71i | 0.0333300 | + | 0.146028i | ||||
\(863\) | 44308.7 | 1.74772 | 0.873861 | − | 0.486176i | \(-0.161608\pi\) | ||||
0.873861 | + | 0.486176i | \(0.161608\pi\) | |||||||
\(864\) | 17439.1 | 0.686679 | ||||||||
\(865\) | 7753.12 | + | 33968.6i | 0.304756 | + | 1.33522i | ||||
\(866\) | 13803.5 | + | 6647.41i | 0.541642 | + | 0.260841i | ||||
\(867\) | −5387.72 | + | 6755.99i | −0.211046 | + | 0.264643i | ||||
\(868\) | 32958.8 | + | 7742.00i | 1.28882 | + | 0.302743i | ||||
\(869\) | 21963.7 | + | 27541.6i | 0.857386 | + | 1.07513i | ||||
\(870\) | −203.162 | − | 890.112i | −0.00791706 | − | 0.0346869i | ||||
\(871\) | 10523.8 | + | 13196.4i | 0.409398 | + | 0.513369i | ||||
\(872\) | −7291.03 | − | 3511.17i | −0.283148 | − | 0.136357i | ||||
\(873\) | 15916.1 | − | 19958.2i | 0.617044 | − | 0.773748i | ||||
\(874\) | −11367.1 | + | 5474.09i | −0.439928 | + | 0.211858i | ||||
\(875\) | 20056.5 | + | 4711.25i | 0.774894 | + | 0.182022i | ||||
\(876\) | −1001.68 | − | 482.382i | −0.0386341 | − | 0.0186052i | ||||
\(877\) | 23331.1 | − | 11235.7i | 0.898330 | − | 0.432613i | 0.0730447 | − | 0.997329i | \(-0.476728\pi\) |
0.825286 | + | 0.564716i | \(0.191014\pi\) | |||||||
\(878\) | −4922.04 | + | 21564.9i | −0.189192 | + | 0.828906i | ||||
\(879\) | −2396.05 | + | 1153.88i | −0.0919416 | + | 0.0442767i | ||||
\(880\) | −16167.0 | − | 20272.8i | −0.619307 | − | 0.776586i | ||||
\(881\) | −37589.2 | −1.43747 | −0.718735 | − | 0.695284i | \(-0.755279\pi\) | ||||
−0.718735 | + | 0.695284i | \(0.755279\pi\) | |||||||
\(882\) | −10334.6 | − | 130.575i | −0.394539 | − | 0.00498489i | ||||
\(883\) | 17136.2 | 0.653091 | 0.326546 | − | 0.945181i | \(-0.394115\pi\) | ||||
0.326546 | + | 0.945181i | \(0.394115\pi\) | |||||||
\(884\) | −1668.19 | − | 2091.85i | −0.0634698 | − | 0.0795887i | ||||
\(885\) | 4789.41 | − | 2306.46i | 0.181914 | − | 0.0876053i | ||||
\(886\) | 1404.86 | − | 6155.10i | 0.0532700 | − | 0.233391i | ||||
\(887\) | −9675.64 | + | 4659.54i | −0.366264 | + | 0.176383i | −0.607958 | − | 0.793969i | \(-0.708011\pi\) |
0.241694 | + | 0.970352i | \(0.422297\pi\) | |||||||
\(888\) | −713.291 | − | 343.503i | −0.0269555 | − | 0.0129811i | ||||
\(889\) | −12048.5 | + | 2670.04i | −0.454550 | + | 0.100731i | ||||
\(890\) | 10842.2 | − | 5221.31i | 0.408349 | − | 0.196650i | ||||
\(891\) | −15274.7 | + | 19153.9i | −0.574323 | + | 0.720178i | ||||
\(892\) | 23567.0 | + | 11349.3i | 0.884620 | + | 0.426011i | ||||
\(893\) | 9834.68 | + | 12332.3i | 0.368538 | + | 0.462133i | ||||
\(894\) | 1520.80 | + | 6663.05i | 0.0568938 | + | 0.249268i | ||||
\(895\) | 17770.3 | + | 22283.2i | 0.663681 | + | 0.832230i | ||||
\(896\) | 167.865 | − | 26573.0i | 0.00625889 | − | 0.990784i | ||||
\(897\) | −1819.22 | + | 2281.23i | −0.0677170 | + | 0.0849144i | ||||
\(898\) | 8716.95 | + | 4197.86i | 0.323929 | + | 0.155996i | ||||
\(899\) | −1355.82 | − | 5940.22i | −0.0502992 | − | 0.220375i | ||||
\(900\) | 27888.9 | 1.03292 | ||||||||
\(901\) | −12289.1 | −0.454394 | ||||||||
\(902\) | −4681.11 | − | 20509.3i | −0.172798 | − | 0.757078i | ||||
\(903\) | 87.1800 | − | 13800.6i | 0.00321281 | − | 0.508588i | ||||
\(904\) | −4081.48 | + | 17882.1i | −0.150164 | + | 0.657910i | ||||
\(905\) | 1002.21 | − | 4390.99i | 0.0368119 | − | 0.161283i | ||||
\(906\) | −876.088 | + | 1098.58i | −0.0321259 | + | 0.0402846i | ||||
\(907\) | −23241.8 | + | 29144.2i | −0.850860 | + | 1.06694i | 0.146119 | + | 0.989267i | \(0.453322\pi\) |
−0.996979 | + | 0.0776776i | \(0.975250\pi\) | |||||||
\(908\) | 1161.54 | − | 5089.04i | 0.0424527 | − | 0.185997i | ||||
\(909\) | 4879.48 | − | 21378.4i | 0.178044 | − | 0.780062i | ||||
\(910\) | 9201.91 | − | 2039.21i | 0.335209 | − | 0.0742846i | ||||
\(911\) | 1954.66 | + | 8563.91i | 0.0710875 | + | 0.311455i | 0.997954 | − | 0.0639366i | \(-0.0203655\pi\) |
−0.926867 | + | 0.375391i | \(0.877508\pi\) | |||||||
\(912\) | 7277.35 | 0.264229 | ||||||||
\(913\) | −24932.8 | −0.903784 | ||||||||
\(914\) | 4067.01 | + | 17818.7i | 0.147183 | + | 0.644849i | ||||
\(915\) | 2005.00 | + | 965.555i | 0.0724406 | + | 0.0348855i | ||||
\(916\) | −16870.9 | + | 21155.5i | −0.608550 | + | 0.763097i | ||||
\(917\) | 1367.94 | − | 2795.24i | 0.0492620 | − | 0.100662i | ||||
\(918\) | 1448.61 | + | 1816.50i | 0.0520819 | + | 0.0653087i | ||||
\(919\) | −10210.0 | − | 44733.0i | −0.366482 | − | 1.60566i | −0.736365 | − | 0.676585i | \(-0.763459\pi\) |
0.369883 | − | 0.929079i | \(-0.379398\pi\) | |||||||
\(920\) | −14022.3 | − | 17583.5i | −0.502503 | − | 0.630119i | ||||
\(921\) | 3088.36 | + | 1487.27i | 0.110494 | + | 0.0532110i | ||||
\(922\) | −2441.44 | + | 3061.47i | −0.0872068 | + | 0.109354i | ||||
\(923\) | −8434.34 | + | 4061.76i | −0.300780 | + | 0.144848i | ||||
\(924\) | −9420.44 | − | 7610.40i | −0.335400 | − | 0.270957i | ||||
\(925\) | −3827.03 | − | 1843.00i | −0.136035 | − | 0.0655109i | ||||
\(926\) | 7535.69 | − | 3629.00i | 0.267428 | − | 0.128786i | ||||
\(927\) | −2182.29 | + | 9561.24i | −0.0773202 | + | 0.338762i | ||||
\(928\) | −3474.78 | + | 1673.36i | −0.122915 | + | 0.0591928i | ||||
\(929\) | 4636.50 | + | 5813.98i | 0.163744 | + | 0.205329i | 0.856934 | − | 0.515427i | \(-0.172366\pi\) |
−0.693189 | + | 0.720755i | \(0.743795\pi\) | |||||||
\(930\) | 12448.6 | 0.438932 | ||||||||
\(931\) | −48811.4 | − | 616.719i | −1.71829 | − | 0.0217101i | ||||
\(932\) | 30600.0 | 1.07547 | ||||||||
\(933\) | 11396.1 | + | 14290.2i | 0.399883 | + | 0.501438i | ||||
\(934\) | 5883.97 | − | 2833.57i | 0.206134 | − | 0.0992691i | ||||
\(935\) | 4039.89 | − | 17699.9i | 0.141303 | − | 0.619089i | ||||
\(936\) | 8700.76 | − | 4190.07i | 0.303839 | − | 0.146321i | ||||
\(937\) | −21898.7 | − | 10545.9i | −0.763501 | − | 0.367683i | 0.0112602 | − | 0.999937i | \(-0.496416\pi\) |
−0.774761 | + | 0.632254i | \(0.782130\pi\) | |||||||
\(938\) | −14152.5 | + | 11140.7i | −0.492640 | + | 0.387801i | ||||
\(939\) | −8565.48 | + | 4124.92i | −0.297682 | + | 0.143356i | ||||
\(940\) | −7752.49 | + | 9721.32i | −0.268998 | + | 0.337313i | ||||
\(941\) | −17709.2 | − | 8528.32i | −0.613501 | − | 0.295447i | 0.101211 | − | 0.994865i | \(-0.467728\pi\) |
−0.714712 | + | 0.699418i | \(0.753442\pi\) | |||||||
\(942\) | 2476.92 | + | 3105.96i | 0.0856713 | + | 0.107428i | ||||
\(943\) | 4604.62 | + | 20174.2i | 0.159011 | + | 0.696672i | ||||
\(944\) | −2664.07 | − | 3340.64i | −0.0918519 | − | 0.115179i | ||||
\(945\) | 30572.4 | − | 6775.04i | 1.05240 | − | 0.233219i | ||||
\(946\) | 17148.8 | − | 21503.9i | 0.589382 | − | 0.739062i | ||||
\(947\) | −23519.5 | − | 11326.4i | −0.807055 | − | 0.388657i | −0.0155949 | − | 0.999878i | \(-0.504964\pi\) |
−0.791460 | + | 0.611221i | \(0.790678\pi\) | |||||||
\(948\) | −1734.21 | − | 7598.07i | −0.0594140 | − | 0.260310i | ||||
\(949\) | −2065.52 | −0.0706528 | ||||||||
\(950\) | −34428.2 | −1.17579 | ||||||||
\(951\) | −3352.97 | − | 14690.3i | −0.114330 | − | 0.500911i | ||||
\(952\) | 5073.15 | − | 3993.54i | 0.172712 | − | 0.135957i | ||||
\(953\) | −7797.52 | + | 34163.2i | −0.265044 | + | 1.16123i | 0.650658 | + | 0.759371i | \(0.274493\pi\) |
−0.915701 | + | 0.401860i | \(0.868364\pi\) | |||||||
\(954\) | 4364.66 | − | 19122.8i | 0.148125 | − | 0.648978i | ||||
\(955\) | −18110.8 | + | 22710.2i | −0.613667 | + | 0.769514i | ||||
\(956\) | −16560.1 | + | 20765.8i | −0.560244 | + | 0.702524i | ||||
\(957\) | −484.983 | + | 2124.85i | −0.0163817 | + | 0.0717728i | ||||
\(958\) | 4773.50 | − | 20914.1i | 0.160986 | − | 0.705327i | ||||
\(959\) | −7909.91 | + | 16163.1i | −0.266344 | + | 0.544248i | ||||
\(960\) | −143.240 | − | 627.577i | −0.00481569 | − | 0.0210989i | ||||
\(961\) | 53285.7 | 1.78865 | ||||||||
\(962\) | −650.425 | −0.0217989 | ||||||||
\(963\) | 6239.23 | + | 27335.9i | 0.208781 | + | 0.914731i | ||||
\(964\) | 875.549 | + | 421.642i | 0.0292526 | + | 0.0140873i | ||||
\(965\) | −50803.9 | + | 63706.1i | −1.69475 | + | 2.12515i | ||||
\(966\) | −2421.98 | − | 1956.62i | −0.0806687 | − | 0.0651690i | ||||
\(967\) | 4772.64 | + | 5984.71i | 0.158715 | + | 0.199023i | 0.854830 | − | 0.518907i | \(-0.173661\pi\) |
−0.696115 | + | 0.717930i | \(0.745090\pi\) | |||||||
\(968\) | −6675.94 | − | 29249.2i | −0.221666 | − | 0.971182i | ||||
\(969\) | 3176.88 | + | 3983.68i | 0.105321 | + | 0.132068i | ||||
\(970\) | −22381.1 | − | 10778.2i | −0.740840 | − | 0.356770i | ||||
\(971\) | −34773.4 | + | 43604.5i | −1.14926 | + | 1.44113i | −0.271234 | + | 0.962513i | \(0.587432\pi\) |
−0.878026 | + | 0.478613i | \(0.841140\pi\) | |||||||
\(972\) | 19630.7 | − | 9453.66i | 0.647794 | − | 0.311961i | ||||
\(973\) | 2680.17 | + | 5656.56i | 0.0883065 | + | 0.186373i | ||||
\(974\) | 7351.11 | + | 3540.11i | 0.241832 | + | 0.116460i | ||||
\(975\) | −7173.68 | + | 3454.66i | −0.235633 | + | 0.113475i | ||||
\(976\) | 398.033 | − | 1743.90i | 0.0130540 | − | 0.0571935i | ||||
\(977\) | −12651.5 | + | 6092.65i | −0.414286 | + | 0.199510i | −0.629404 | − | 0.777078i | \(-0.716701\pi\) |
0.215118 | + | 0.976588i | \(0.430987\pi\) | |||||||
\(978\) | −1402.07 | − | 1758.13i | −0.0458416 | − | 0.0574836i | ||||
\(979\) | −28727.0 | −0.937812 | ||||||||
\(980\) | −8088.00 | − | 37620.6i | −0.263634 | − | 1.22627i | ||||
\(981\) | −10256.3 | −0.333801 | ||||||||
\(982\) | −13308.3 | − | 16688.1i | −0.432470 | − | 0.542301i | ||||
\(983\) | −9440.16 | + | 4546.14i | −0.306302 | + | 0.147507i | −0.580720 | − | 0.814103i | \(-0.697229\pi\) |
0.274419 | + | 0.961610i | \(0.411515\pi\) | |||||||
\(984\) | −2341.93 | + | 10260.7i | −0.0758720 | + | 0.332417i | ||||
\(985\) | 52232.0 | − | 25153.6i | 1.68959 | − | 0.813665i | ||||
\(986\) | −462.940 | − | 222.940i | −0.0149523 | − | 0.00720067i | ||||
\(987\) | −1711.10 | + | 3496.47i | −0.0551824 | + | 0.112760i | ||||
\(988\) | 18172.5 | − | 8751.41i | 0.585166 | − | 0.281801i | ||||
\(989\) | −16868.6 | + | 21152.6i | −0.542356 | + | 0.680093i | ||||
\(990\) | 26107.6 | + | 12572.8i | 0.838137 | + | 0.403625i | ||||
\(991\) | −25106.0 | − | 31481.9i | −0.804761 | − | 1.00914i | −0.999599 | − | 0.0283028i | \(-0.990990\pi\) |
0.194839 | − | 0.980835i | \(-0.437582\pi\) | |||||||
\(992\) | −11701.4 | − | 51267.1i | −0.374516 | − | 1.64086i | ||||
\(993\) | 5777.54 | + | 7244.81i | 0.184637 | + | 0.231528i | ||||
\(994\) | −4277.35 | − | 9027.44i | −0.136488 | − | 0.288061i | ||||
\(995\) | 43148.9 | − | 54107.0i | 1.37479 | − | 1.72393i | ||||
\(996\) | 4969.75 | + | 2393.31i | 0.158105 | + | 0.0761394i | ||||
\(997\) | 10715.0 | + | 46945.5i | 0.340369 | + | 1.49125i | 0.798297 | + | 0.602264i | \(0.205734\pi\) |
−0.457929 | + | 0.888989i | \(0.651408\pi\) | |||||||
\(998\) | −10784.4 | −0.342058 | ||||||||
\(999\) | −2160.97 | −0.0684384 |
(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 | 49.4.e.a.8.6 | ✓ | 78 | |
49.22 | even | 7 | 2401.4.a.d.1.17 | 39 | |||
49.27 | odd | 14 | 2401.4.a.c.1.17 | 39 | |||
49.43 | even | 7 | inner | 49.4.e.a.43.6 | yes | 78 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.4.e.a.8.6 | ✓ | 78 | 1.1 | even | 1 | trivial | |
49.4.e.a.43.6 | yes | 78 | 49.43 | even | 7 | inner | |
2401.4.a.c.1.17 | 39 | 49.27 | odd | 14 | |||
2401.4.a.d.1.17 | 39 | 49.22 | even | 7 |