Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), 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: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.7 | ||
Character | \(\chi\) | \(=\) | 108.59 |
Dual form | 108.4.l.a.11.7 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.63308 | + | 1.03289i | −0.930936 | + | 0.365183i | ||||
\(3\) | 5.16641 | − | 0.555160i | 0.994276 | − | 0.106841i | ||||
\(4\) | 5.86626 | − | 5.43939i | 0.733283 | − | 0.679923i | ||||
\(5\) | 6.86537 | + | 18.8624i | 0.614057 | + | 1.68711i | 0.721081 | + | 0.692851i | \(0.243646\pi\) |
−0.107024 | + | 0.994256i | \(0.534132\pi\) | |||||||
\(6\) | −13.0302 | + | 6.79813i | −0.886591 | + | 0.462554i | ||||
\(7\) | −18.0159 | + | 3.17669i | −0.972766 | + | 0.171525i | −0.637375 | − | 0.770554i | \(-0.719980\pi\) |
−0.335391 | + | 0.942079i | \(0.608869\pi\) | |||||||
\(8\) | −9.82807 | + | 20.3816i | −0.434343 | + | 0.900747i | ||||
\(9\) | 26.3836 | − | 5.73637i | 0.977170 | − | 0.212458i | ||||
\(10\) | −37.5600 | − | 42.5752i | −1.18775 | − | 1.34635i | ||||
\(11\) | −8.64935 | − | 3.14811i | −0.237080 | − | 0.0862900i | 0.220748 | − | 0.975331i | \(-0.429150\pi\) |
−0.457828 | + | 0.889041i | \(0.651372\pi\) | |||||||
\(12\) | 27.2878 | − | 31.3588i | 0.656443 | − | 0.754376i | ||||
\(13\) | 23.2073 | + | 19.4732i | 0.495118 | + | 0.415454i | 0.855856 | − | 0.517214i | \(-0.173031\pi\) |
−0.360738 | + | 0.932667i | \(0.617475\pi\) | |||||||
\(14\) | 44.1562 | − | 26.9730i | 0.842945 | − | 0.514916i | ||||
\(15\) | 45.9410 | + | 93.6397i | 0.790794 | + | 1.61184i | ||||
\(16\) | 4.82613 | − | 63.8178i | 0.0754083 | − | 0.997153i | ||||
\(17\) | 26.8437 | + | 15.4982i | 0.382974 | + | 0.221110i | 0.679111 | − | 0.734035i | \(-0.262365\pi\) |
−0.296137 | + | 0.955145i | \(0.595699\pi\) | |||||||
\(18\) | −63.5452 | + | 42.3558i | −0.832097 | + | 0.554631i | ||||
\(19\) | −113.107 | + | 65.3021i | −1.36571 | + | 0.788491i | −0.990376 | − | 0.138400i | \(-0.955804\pi\) |
−0.375330 | + | 0.926891i | \(0.622471\pi\) | |||||||
\(20\) | 142.874 | + | 73.3087i | 1.59738 | + | 0.819616i | ||||
\(21\) | −91.3139 | + | 26.4138i | −0.948872 | + | 0.274474i | ||||
\(22\) | 26.0261 | − | 0.644623i | 0.252218 | − | 0.00624701i | ||||
\(23\) | 9.01251 | − | 51.1125i | 0.0817060 | − | 0.463378i | −0.916313 | − | 0.400463i | \(-0.868849\pi\) |
0.998019 | − | 0.0629148i | \(-0.0200396\pi\) | |||||||
\(24\) | −39.4608 | + | 110.756i | −0.335621 | + | 0.941997i | ||||
\(25\) | −212.903 | + | 178.647i | −1.70322 | + | 1.42917i | ||||
\(26\) | −81.2204 | − | 27.3040i | −0.612640 | − | 0.205952i | ||||
\(27\) | 133.124 | − | 44.2835i | 0.948878 | − | 0.315643i | ||||
\(28\) | −88.4067 | + | 116.631i | −0.596689 | + | 0.787183i | ||||
\(29\) | 166.309 | + | 198.199i | 1.06492 | + | 1.26912i | 0.961594 | + | 0.274477i | \(0.0885048\pi\) |
0.103328 | + | 0.994647i | \(0.467051\pi\) | |||||||
\(30\) | −217.686 | − | 199.109i | −1.32480 | − | 1.21174i | ||||
\(31\) | 176.062 | + | 31.0446i | 1.02006 | + | 0.179863i | 0.658574 | − | 0.752516i | \(-0.271160\pi\) |
0.361482 | + | 0.932379i | \(0.382271\pi\) | |||||||
\(32\) | 53.2093 | + | 173.022i | 0.293943 | + | 0.955823i | ||||
\(33\) | −46.4338 | − | 11.4626i | −0.244942 | − | 0.0604663i | ||||
\(34\) | −86.6897 | − | 13.0815i | −0.437270 | − | 0.0659838i | ||||
\(35\) | −183.606 | − | 318.014i | −0.886715 | − | 1.53583i | ||||
\(36\) | 123.571 | − | 177.162i | 0.572087 | − | 0.820193i | ||||
\(37\) | 134.346 | − | 232.694i | 0.596927 | − | 1.03391i | −0.396345 | − | 0.918102i | \(-0.629721\pi\) |
0.993272 | − | 0.115806i | \(-0.0369452\pi\) | |||||||
\(38\) | 230.369 | − | 288.773i | 0.983442 | − | 1.23277i | ||||
\(39\) | 130.709 | + | 87.7228i | 0.536672 | + | 0.360177i | ||||
\(40\) | −451.920 | − | 45.4542i | −1.78637 | − | 0.179674i | ||||
\(41\) | −36.5595 | + | 43.5699i | −0.139259 | + | 0.165963i | −0.831166 | − | 0.556024i | \(-0.812326\pi\) |
0.691907 | + | 0.721987i | \(0.256771\pi\) | |||||||
\(42\) | 213.155 | − | 163.867i | 0.783106 | − | 0.602030i | ||||
\(43\) | 120.491 | − | 331.047i | 0.427320 | − | 1.17405i | −0.520113 | − | 0.854097i | \(-0.674110\pi\) |
0.947433 | − | 0.319954i | \(-0.103668\pi\) | |||||||
\(44\) | −67.8632 | + | 28.5795i | −0.232517 | + | 0.0979211i | ||||
\(45\) | 289.335 | + | 458.277i | 0.958478 | + | 1.51813i | ||||
\(46\) | 29.0630 | + | 143.892i | 0.0931545 | + | 0.461213i | ||||
\(47\) | 41.3538 | + | 234.529i | 0.128342 | + | 0.727863i | 0.979267 | + | 0.202575i | \(0.0649311\pi\) |
−0.850925 | + | 0.525288i | \(0.823958\pi\) | |||||||
\(48\) | −10.4953 | − | 332.388i | −0.0315597 | − | 0.999502i | ||||
\(49\) | −7.83396 | + | 2.85133i | −0.0228395 | + | 0.00831291i | ||||
\(50\) | 376.068 | − | 690.297i | 1.06368 | − | 1.95245i | ||||
\(51\) | 147.290 | + | 65.1676i | 0.404405 | + | 0.178927i | ||||
\(52\) | 242.062 | − | 11.9983i | 0.645538 | − | 0.0319974i | ||||
\(53\) | − | 424.312i | − | 1.09969i | −0.835265 | − | 0.549847i | \(-0.814686\pi\) | ||
0.835265 | − | 0.549847i | \(-0.185314\pi\) | |||||||
\(54\) | −304.786 | + | 254.105i | −0.768077 | + | 0.640358i | ||||
\(55\) | − | 184.761i | − | 0.452966i | ||||||
\(56\) | 112.315 | − | 398.413i | 0.268014 | − | 0.950717i | ||||
\(57\) | −548.102 | + | 400.170i | −1.27365 | + | 0.929890i | ||||
\(58\) | −642.623 | − | 350.095i | −1.45484 | − | 0.792582i | ||||
\(59\) | −79.6208 | + | 28.9796i | −0.175691 | + | 0.0639462i | −0.428368 | − | 0.903605i | \(-0.640911\pi\) |
0.252677 | + | 0.967551i | \(0.418689\pi\) | |||||||
\(60\) | 778.845 | + | 299.425i | 1.67581 | + | 0.644259i | ||||
\(61\) | −143.475 | − | 813.684i | −0.301148 | − | 1.70790i | −0.641104 | − | 0.767454i | \(-0.721523\pi\) |
0.339956 | − | 0.940441i | \(-0.389588\pi\) | |||||||
\(62\) | −495.653 | + | 100.111i | −1.01529 | + | 0.205066i | ||||
\(63\) | −457.101 | + | 187.158i | −0.914116 | + | 0.374281i | ||||
\(64\) | −318.818 | − | 400.623i | −0.622692 | − | 0.782467i | ||||
\(65\) | −207.986 | + | 571.436i | −0.396884 | + | 1.09043i | ||||
\(66\) | 134.104 | − | 17.7790i | 0.250107 | − | 0.0331583i | ||||
\(67\) | 328.061 | − | 390.968i | 0.598195 | − | 0.712901i | −0.378964 | − | 0.925411i | \(-0.623720\pi\) |
0.977159 | + | 0.212511i | \(0.0681640\pi\) | |||||||
\(68\) | 241.773 | − | 55.0967i | 0.431166 | − | 0.0982566i | ||||
\(69\) | 18.1867 | − | 269.072i | 0.0317308 | − | 0.469455i | ||||
\(70\) | 811.924 | + | 647.713i | 1.38633 | + | 1.10595i | ||||
\(71\) | 37.9101 | − | 65.6623i | 0.0633677 | − | 0.109756i | −0.832601 | − | 0.553873i | \(-0.813149\pi\) |
0.895969 | + | 0.444117i | \(0.146483\pi\) | |||||||
\(72\) | −142.383 | + | 594.117i | −0.233056 | + | 0.972463i | ||||
\(73\) | −340.341 | − | 589.488i | −0.545670 | − | 0.945127i | −0.998564 | − | 0.0535635i | \(-0.982942\pi\) |
0.452895 | − | 0.891564i | \(-0.350391\pi\) | |||||||
\(74\) | −113.396 | + | 751.467i | −0.178136 | + | 1.18049i | ||||
\(75\) | −1000.77 | + | 1041.16i | −1.54078 | + | 1.60297i | ||||
\(76\) | −308.310 | + | 998.310i | −0.465336 | + | 1.50676i | ||||
\(77\) | 165.826 | + | 29.2396i | 0.245424 | + | 0.0432749i | ||||
\(78\) | −434.776 | − | 95.9733i | −0.631137 | − | 0.139318i | ||||
\(79\) | 756.546 | + | 901.616i | 1.07744 | + | 1.28405i | 0.956609 | + | 0.291374i | \(0.0941125\pi\) |
0.120834 | + | 0.992673i | \(0.461443\pi\) | |||||||
\(80\) | 1236.89 | − | 347.100i | 1.72861 | − | 0.485087i | ||||
\(81\) | 663.188 | − | 302.692i | 0.909723 | − | 0.415215i | ||||
\(82\) | 51.2612 | − | 152.485i | 0.0690348 | − | 0.205356i | ||||
\(83\) | 163.130 | − | 136.882i | 0.215733 | − | 0.181022i | −0.528517 | − | 0.848923i | \(-0.677252\pi\) |
0.744250 | + | 0.667901i | \(0.232807\pi\) | |||||||
\(84\) | −391.997 | + | 651.642i | −0.509171 | + | 0.846428i | ||||
\(85\) | −108.042 | + | 612.739i | −0.137869 | + | 0.781892i | ||||
\(86\) | 24.6725 | + | 996.130i | 0.0309360 | + | 1.24902i | ||||
\(87\) | 969.251 | + | 931.649i | 1.19442 | + | 1.14808i | ||||
\(88\) | 149.170 | − | 145.348i | 0.180699 | − | 0.176070i | ||||
\(89\) | 719.406 | − | 415.349i | 0.856819 | − | 0.494685i | −0.00612665 | − | 0.999981i | \(-0.501950\pi\) |
0.862946 | + | 0.505296i | \(0.168617\pi\) | |||||||
\(90\) | −1235.19 | − | 907.829i | −1.44668 | − | 1.06326i | ||||
\(91\) | −479.960 | − | 277.105i | −0.552895 | − | 0.319214i | ||||
\(92\) | −225.151 | − | 348.862i | −0.255148 | − | 0.395341i | ||||
\(93\) | 926.846 | + | 62.6461i | 1.03343 | + | 0.0698506i | ||||
\(94\) | −351.131 | − | 574.820i | −0.385281 | − | 0.630725i | ||||
\(95\) | −2008.27 | − | 1685.14i | −2.16889 | − | 1.81991i | ||||
\(96\) | 370.956 | + | 864.365i | 0.394381 | + | 0.918947i | ||||
\(97\) | 571.376 | + | 207.964i | 0.598087 | + | 0.217686i | 0.623283 | − | 0.781997i | \(-0.285799\pi\) |
−0.0251955 | + | 0.999683i | \(0.508021\pi\) | |||||||
\(98\) | 17.6824 | − | 15.5994i | 0.0182264 | − | 0.0160794i | ||||
\(99\) | −246.260 | − | 33.4425i | −0.250000 | − | 0.0339505i | ||||
\(100\) | −277.216 | + | 2206.05i | −0.277216 | + | 2.20605i | ||||
\(101\) | −575.055 | + | 101.398i | −0.566536 | + | 0.0998955i | −0.449577 | − | 0.893241i | \(-0.648425\pi\) |
−0.116958 | + | 0.993137i | \(0.537314\pi\) | |||||||
\(102\) | −455.137 | − | 19.4575i | −0.441817 | − | 0.0188880i | ||||
\(103\) | −193.649 | − | 532.048i | −0.185251 | − | 0.508973i | 0.811951 | − | 0.583725i | \(-0.198406\pi\) |
−0.997202 | + | 0.0747525i | \(0.976183\pi\) | |||||||
\(104\) | −624.977 | + | 281.617i | −0.589270 | + | 0.265527i | ||||
\(105\) | −1125.13 | − | 1541.06i | −1.04573 | − | 1.43231i | ||||
\(106\) | 438.269 | + | 1117.25i | 0.401589 | + | 1.02374i | ||||
\(107\) | −865.733 | −0.782183 | −0.391091 | − | 0.920352i | \(-0.627902\pi\) | ||||
−0.391091 | + | 0.920352i | \(0.627902\pi\) | |||||||
\(108\) | 540.065 | − | 983.891i | 0.481183 | − | 0.876620i | ||||
\(109\) | 500.907 | 0.440167 | 0.220084 | − | 0.975481i | \(-0.429367\pi\) | ||||
0.220084 | + | 0.975481i | \(0.429367\pi\) | |||||||
\(110\) | 190.838 | + | 486.491i | 0.165415 | + | 0.421682i | ||||
\(111\) | 564.903 | − | 1276.77i | 0.483047 | − | 1.09177i | ||||
\(112\) | 115.782 | + | 1165.06i | 0.0976819 | + | 0.982931i | ||||
\(113\) | 140.916 | + | 387.162i | 0.117312 | + | 0.322311i | 0.984426 | − | 0.175797i | \(-0.0562503\pi\) |
−0.867115 | + | 0.498109i | \(0.834028\pi\) | |||||||
\(114\) | 1029.87 | − | 1619.81i | 0.846103 | − | 1.33078i | ||||
\(115\) | 1025.98 | − | 180.908i | 0.831940 | − | 0.146694i | ||||
\(116\) | 2053.69 | + | 258.070i | 1.64380 | + | 0.206562i | ||||
\(117\) | 723.997 | + | 380.648i | 0.572081 | + | 0.300777i | ||||
\(118\) | 179.716 | − | 158.546i | 0.140205 | − | 0.123689i | ||||
\(119\) | −532.846 | − | 193.940i | −0.410470 | − | 0.149399i | ||||
\(120\) | −2360.04 | + | 16.0525i | −1.79534 | + | 0.0122116i | ||||
\(121\) | −954.704 | − | 801.092i | −0.717284 | − | 0.601872i | ||||
\(122\) | 1218.23 | + | 1994.31i | 0.904043 | + | 1.47997i | ||||
\(123\) | −164.693 | + | 245.396i | −0.120731 | + | 0.179891i | ||||
\(124\) | 1201.69 | − | 775.556i | 0.870284 | − | 0.561669i | ||||
\(125\) | −2658.40 | − | 1534.83i | −1.90220 | − | 1.09823i | ||||
\(126\) | 1010.27 | − | 964.939i | 0.714303 | − | 0.682251i | ||||
\(127\) | 97.1908 | − | 56.1131i | 0.0679078 | − | 0.0392066i | −0.465662 | − | 0.884963i | \(-0.654184\pi\) |
0.533569 | + | 0.845756i | \(0.320850\pi\) | |||||||
\(128\) | 1253.28 | + | 725.569i | 0.865430 | + | 0.501030i | ||||
\(129\) | 438.724 | − | 1777.22i | 0.299438 | − | 1.21299i | ||||
\(130\) | −42.5883 | − | 1719.47i | −0.0287326 | − | 1.16006i | ||||
\(131\) | −187.758 | + | 1064.83i | −0.125225 | + | 0.710186i | 0.855949 | + | 0.517060i | \(0.172974\pi\) |
−0.981174 | + | 0.193126i | \(0.938137\pi\) | |||||||
\(132\) | −334.743 | + | 185.329i | −0.220724 | + | 0.122203i | ||||
\(133\) | 1830.27 | − | 1535.78i | 1.19327 | − | 1.00127i | ||||
\(134\) | −459.985 | + | 1368.30i | −0.296542 | + | 0.882115i | ||||
\(135\) | 1749.24 | + | 2207.02i | 1.11519 | + | 1.40704i | ||||
\(136\) | −579.700 | + | 394.800i | −0.365506 | + | 0.248925i | ||||
\(137\) | 353.605 | + | 421.410i | 0.220515 | + | 0.262799i | 0.864948 | − | 0.501861i | \(-0.167351\pi\) |
−0.644433 | + | 0.764661i | \(0.722907\pi\) | |||||||
\(138\) | 230.035 | + | 727.273i | 0.141898 | + | 0.448620i | ||||
\(139\) | −254.865 | − | 44.9396i | −0.155521 | − | 0.0274225i | 0.0953456 | − | 0.995444i | \(-0.469604\pi\) |
−0.250866 | + | 0.968022i | \(0.580715\pi\) | |||||||
\(140\) | −2806.88 | − | 866.854i | −1.69446 | − | 0.523304i | ||||
\(141\) | 343.852 | + | 1188.71i | 0.205373 | + | 0.709985i | ||||
\(142\) | −31.9985 | + | 212.051i | −0.0189102 | + | 0.125317i | ||||
\(143\) | −139.424 | − | 241.490i | −0.0815330 | − | 0.141219i | ||||
\(144\) | −238.752 | − | 1711.43i | −0.138166 | − | 0.990409i | ||||
\(145\) | −2596.74 | + | 4497.69i | −1.48723 | + | 2.57595i | ||||
\(146\) | 1505.02 | + | 1200.63i | 0.853128 | + | 0.680584i | ||||
\(147\) | −38.8905 | + | 19.0802i | −0.0218206 | + | 0.0107055i | ||||
\(148\) | −477.603 | − | 2095.80i | −0.265262 | − | 1.16401i | ||||
\(149\) | −958.006 | + | 1141.71i | −0.526731 | + | 0.627734i | −0.962159 | − | 0.272490i | \(-0.912153\pi\) |
0.435428 | + | 0.900224i | \(0.356597\pi\) | |||||||
\(150\) | 1559.70 | − | 3775.14i | 0.848991 | − | 2.05492i | ||||
\(151\) | 362.094 | − | 994.845i | 0.195144 | − | 0.536154i | −0.803070 | − | 0.595884i | \(-0.796802\pi\) |
0.998215 | + | 0.0597298i | \(0.0190239\pi\) | |||||||
\(152\) | −219.342 | − | 2947.08i | −0.117046 | − | 1.57263i | ||||
\(153\) | 797.137 | + | 254.913i | 0.421207 | + | 0.134696i | ||||
\(154\) | −466.836 | + | 94.2903i | −0.244277 | + | 0.0493385i | ||||
\(155\) | 623.157 | + | 3534.10i | 0.322924 | + | 1.83139i | ||||
\(156\) | 1243.93 | − | 196.371i | 0.638425 | − | 0.100784i | ||||
\(157\) | 876.906 | − | 319.168i | 0.445762 | − | 0.162244i | −0.109379 | − | 0.994000i | \(-0.534886\pi\) |
0.555142 | + | 0.831756i | \(0.312664\pi\) | |||||||
\(158\) | −2923.32 | − | 1592.60i | −1.47194 | − | 0.801902i | ||||
\(159\) | −235.561 | − | 2192.17i | −0.117492 | − | 1.09340i | ||||
\(160\) | −2898.32 | + | 2191.52i | −1.43208 | + | 1.08284i | ||||
\(161\) | 949.466i | 0.464773i | ||||||||
\(162\) | −1433.58 | + | 1482.02i | −0.695264 | + | 0.718754i | ||||
\(163\) | 253.931i | 0.122021i | 0.998137 | + | 0.0610104i | \(0.0194323\pi\) | ||||
−0.998137 | + | 0.0610104i | \(0.980568\pi\) | |||||||
\(164\) | 22.5259 | + | 454.454i | 0.0107255 | + | 0.216383i | ||||
\(165\) | −102.572 | − | 954.550i | −0.0483951 | − | 0.450373i | ||||
\(166\) | −288.150 | + | 528.919i | −0.134728 | + | 0.247302i | ||||
\(167\) | 2815.29 | − | 1024.68i | 1.30451 | − | 0.474804i | 0.406050 | − | 0.913851i | \(-0.366906\pi\) |
0.898464 | + | 0.439046i | \(0.144684\pi\) | |||||||
\(168\) | 359.084 | − | 2120.72i | 0.164905 | − | 0.973910i | ||||
\(169\) | −222.134 | − | 1259.78i | −0.101108 | − | 0.573410i | ||||
\(170\) | −348.409 | − | 1724.99i | −0.157187 | − | 0.778239i | ||||
\(171\) | −2609.56 | + | 2371.72i | −1.16701 | + | 1.06065i | ||||
\(172\) | −1093.86 | − | 2597.41i | −0.484919 | − | 1.15146i | ||||
\(173\) | 366.028 | − | 1005.65i | 0.160859 | − | 0.441956i | −0.832911 | − | 0.553407i | \(-0.813327\pi\) |
0.993770 | + | 0.111451i | \(0.0355497\pi\) | |||||||
\(174\) | −3514.41 | − | 1451.98i | −1.53119 | − | 0.632610i | ||||
\(175\) | 3268.13 | − | 3894.80i | 1.41170 | − | 1.68240i | ||||
\(176\) | −242.648 | + | 536.789i | −0.103922 | + | 0.229898i | ||||
\(177\) | −395.266 | + | 193.923i | −0.167853 | + | 0.0823510i | ||||
\(178\) | −1465.25 | + | 1836.72i | −0.616993 | + | 0.773415i | ||||
\(179\) | −493.979 | + | 855.597i | −0.206267 | + | 0.357264i | −0.950536 | − | 0.310616i | \(-0.899465\pi\) |
0.744269 | + | 0.667880i | \(0.232798\pi\) | |||||||
\(180\) | 4190.06 | + | 1114.57i | 1.73505 | + | 0.461528i | ||||
\(181\) | 1062.59 | + | 1840.46i | 0.436363 | + | 0.755802i | 0.997406 | − | 0.0719843i | \(-0.0229331\pi\) |
−0.561043 | + | 0.827787i | \(0.689600\pi\) | |||||||
\(182\) | 1549.99 | + | 233.893i | 0.631281 | + | 0.0952601i | ||||
\(183\) | −1192.97 | − | 4124.18i | −0.481897 | − | 1.66594i | ||||
\(184\) | 953.178 | + | 686.026i | 0.381898 | + | 0.274862i | ||||
\(185\) | 5311.50 | + | 936.561i | 2.11086 | + | 0.372202i | ||||
\(186\) | −2505.17 | + | 792.380i | −0.987570 | + | 0.312366i | ||||
\(187\) | −183.391 | − | 218.556i | −0.0717158 | − | 0.0854675i | ||||
\(188\) | 1518.29 | + | 1150.87i | 0.589002 | + | 0.446467i | ||||
\(189\) | −2257.67 | + | 1220.70i | −0.868896 | + | 0.469803i | ||||
\(190\) | 7028.53 | + | 2362.79i | 2.68370 | + | 0.902183i | ||||
\(191\) | −647.747 | + | 543.525i | −0.245389 | + | 0.205906i | −0.757184 | − | 0.653202i | \(-0.773425\pi\) |
0.511795 | + | 0.859108i | \(0.328981\pi\) | |||||||
\(192\) | −1869.56 | − | 1892.79i | −0.702727 | − | 0.711460i | ||||
\(193\) | −419.015 | + | 2376.35i | −0.156277 | + | 0.886289i | 0.801333 | + | 0.598219i | \(0.204125\pi\) |
−0.957609 | + | 0.288070i | \(0.906986\pi\) | |||||||
\(194\) | −1719.29 | + | 42.5838i | −0.636276 | + | 0.0157595i | ||||
\(195\) | −757.301 | + | 3067.74i | −0.278110 | + | 1.12659i | ||||
\(196\) | −30.4466 | + | 59.3386i | −0.0110957 | + | 0.0216248i | ||||
\(197\) | −3434.50 | + | 1982.91i | −1.24212 | + | 0.717139i | −0.969526 | − | 0.244990i | \(-0.921215\pi\) |
−0.272595 | + | 0.962129i | \(0.587882\pi\) | |||||||
\(198\) | 682.965 | − | 166.303i | 0.245132 | − | 0.0596901i | ||||
\(199\) | 3791.18 | + | 2188.84i | 1.35050 | + | 0.779712i | 0.988319 | − | 0.152396i | \(-0.0486991\pi\) |
0.362181 | + | 0.932108i | \(0.382032\pi\) | |||||||
\(200\) | −1548.68 | − | 6095.04i | −0.547541 | − | 2.15492i | ||||
\(201\) | 1477.85 | − | 2202.03i | 0.518604 | − | 0.772732i | ||||
\(202\) | 1409.43 | − | 860.959i | 0.490928 | − | 0.299885i | ||||
\(203\) | −3625.81 | − | 3042.42i | −1.25361 | − | 1.05190i | ||||
\(204\) | 1218.51 | − | 418.875i | 0.418200 | − | 0.143760i | ||||
\(205\) | −1072.83 | − | 390.478i | −0.365510 | − | 0.133035i | ||||
\(206\) | 1059.44 | + | 1200.91i | 0.358325 | + | 0.406171i | ||||
\(207\) | −55.4176 | − | 1400.23i | −0.0186077 | − | 0.470158i | ||||
\(208\) | 1354.74 | − | 1387.06i | 0.451607 | − | 0.462380i | ||||
\(209\) | 1183.88 | − | 208.749i | 0.391820 | − | 0.0690885i | ||||
\(210\) | 4554.32 | + | 2895.61i | 1.49656 | + | 0.951504i | ||||
\(211\) | 379.245 | + | 1041.97i | 0.123736 | + | 0.339962i | 0.986059 | − | 0.166397i | \(-0.0532133\pi\) |
−0.862323 | + | 0.506359i | \(0.830991\pi\) | |||||||
\(212\) | −2308.00 | − | 2489.13i | −0.747708 | − | 0.806387i | ||||
\(213\) | 159.406 | − | 360.284i | 0.0512786 | − | 0.115898i | ||||
\(214\) | 2279.55 | − | 894.209i | 0.728162 | − | 0.285640i | ||||
\(215\) | 7071.57 | 2.24315 | ||||||||
\(216\) | −405.781 | + | 3148.50i | −0.127824 | + | 0.991797i | ||||
\(217\) | −3270.54 | −1.02313 | ||||||||
\(218\) | −1318.93 | + | 517.384i | −0.409768 | + | 0.160742i | ||||
\(219\) | −2085.60 | − | 2856.59i | −0.643524 | − | 0.881418i | ||||
\(220\) | −1004.99 | − | 1083.86i | −0.307982 | − | 0.332152i | ||||
\(221\) | 321.169 | + | 882.405i | 0.0977564 | + | 0.268583i | ||||
\(222\) | −168.666 | + | 3945.34i | −0.0509917 | + | 1.19277i | ||||
\(223\) | −4847.74 | + | 854.787i | −1.45573 | + | 0.256685i | −0.844836 | − | 0.535025i | \(-0.820302\pi\) |
−0.610897 | + | 0.791710i | \(0.709191\pi\) | |||||||
\(224\) | −1508.25 | − | 2948.12i | −0.449885 | − | 0.879374i | ||||
\(225\) | −4592.36 | + | 5934.63i | −1.36070 | + | 1.75841i | ||||
\(226\) | −770.940 | − | 873.881i | −0.226912 | − | 0.257211i | ||||
\(227\) | 1462.84 | + | 532.430i | 0.427718 | + | 0.155677i | 0.546904 | − | 0.837195i | \(-0.315806\pi\) |
−0.119186 | + | 0.992872i | \(0.538028\pi\) | |||||||
\(228\) | −1038.63 | + | 5328.84i | −0.301689 | + | 1.54785i | ||||
\(229\) | 1329.59 | + | 1115.66i | 0.383676 | + | 0.321942i | 0.814143 | − | 0.580664i | \(-0.197207\pi\) |
−0.430468 | + | 0.902606i | \(0.641651\pi\) | |||||||
\(230\) | −2514.63 | + | 1536.07i | −0.720913 | + | 0.440373i | ||||
\(231\) | 872.959 | + | 59.0039i | 0.248643 | + | 0.0168059i | ||||
\(232\) | −5674.10 | + | 1441.72i | −1.60570 | + | 0.407990i | ||||
\(233\) | −3856.85 | − | 2226.75i | −1.08442 | − | 0.626092i | −0.152337 | − | 0.988329i | \(-0.548680\pi\) |
−0.932086 | + | 0.362237i | \(0.882013\pi\) | |||||||
\(234\) | −2299.51 | − | 254.467i | −0.642410 | − | 0.0710898i | ||||
\(235\) | −4139.88 | + | 2390.16i | −1.14917 | + | 0.663476i | ||||
\(236\) | −309.446 | + | 603.091i | −0.0853525 | + | 0.166347i | ||||
\(237\) | 4409.17 | + | 4238.11i | 1.20846 | + | 1.16158i | ||||
\(238\) | 1603.35 | − | 39.7122i | 0.436679 | − | 0.0108158i | ||||
\(239\) | −1100.08 | + | 6238.86i | −0.297733 | + | 1.68853i | 0.358148 | + | 0.933665i | \(0.383408\pi\) |
−0.655881 | + | 0.754864i | \(0.727703\pi\) | |||||||
\(240\) | 6197.60 | − | 2479.93i | 1.66689 | − | 0.666996i | ||||
\(241\) | 4648.15 | − | 3900.26i | 1.24238 | − | 1.04248i | 0.245047 | − | 0.969511i | \(-0.421197\pi\) |
0.997334 | − | 0.0729702i | \(-0.0232478\pi\) | |||||||
\(242\) | 3341.26 | + | 1123.24i | 0.887538 | + | 0.298365i | ||||
\(243\) | 3258.26 | − | 1932.01i | 0.860154 | − | 0.510034i | ||||
\(244\) | −5267.60 | − | 3992.88i | −1.38206 | − | 1.04761i | ||||
\(245\) | −107.566 | − | 128.192i | −0.0280495 | − | 0.0334281i | ||||
\(246\) | 180.183 | − | 816.260i | 0.0466993 | − | 0.211556i | ||||
\(247\) | −3896.53 | − | 687.064i | −1.00377 | − | 0.176991i | ||||
\(248\) | −2363.09 | + | 3283.32i | −0.605066 | + | 0.840691i | ||||
\(249\) | 766.805 | − | 797.754i | 0.195158 | − | 0.203035i | ||||
\(250\) | 8585.10 | + | 1295.49i | 2.17188 | + | 0.327736i | ||||
\(251\) | −1039.87 | − | 1801.11i | −0.261499 | − | 0.452929i | 0.705142 | − | 0.709066i | \(-0.250883\pi\) |
−0.966640 | + | 0.256137i | \(0.917550\pi\) | |||||||
\(252\) | −1663.45 | + | 3584.27i | −0.415824 | + | 0.895983i | ||||
\(253\) | −238.860 | + | 413.718i | −0.0593557 | + | 0.102807i | ||||
\(254\) | −197.953 | + | 248.138i | −0.0489002 | + | 0.0612976i | ||||
\(255\) | −218.023 | + | 3225.64i | −0.0535417 | + | 0.792147i | ||||
\(256\) | −4049.42 | − | 615.986i | −0.988627 | − | 0.150387i | ||||
\(257\) | 1310.55 | − | 1561.85i | 0.318092 | − | 0.379087i | −0.583178 | − | 0.812344i | \(-0.698191\pi\) |
0.901271 | + | 0.433257i | \(0.142636\pi\) | |||||||
\(258\) | 680.479 | + | 5132.72i | 0.164205 | + | 1.23856i | ||||
\(259\) | −1681.16 | + | 4618.96i | −0.403330 | + | 1.10814i | ||||
\(260\) | 1888.16 | + | 4483.51i | 0.450380 | + | 1.06944i | ||||
\(261\) | 5524.76 | + | 4275.19i | 1.31025 | + | 1.01390i | ||||
\(262\) | −605.470 | − | 2997.71i | −0.142771 | − | 0.706868i | ||||
\(263\) | −1269.43 | − | 7199.28i | −0.297628 | − | 1.68793i | −0.656324 | − | 0.754479i | \(-0.727890\pi\) |
0.358696 | − | 0.933454i | \(-0.383221\pi\) | |||||||
\(264\) | 689.981 | − | 833.739i | 0.160854 | − | 0.194368i | ||||
\(265\) | 8003.57 | − | 2913.06i | 1.85530 | − | 0.675275i | ||||
\(266\) | −3232.96 | + | 5934.31i | −0.745208 | + | 1.36788i | ||||
\(267\) | 3486.16 | − | 2545.25i | 0.799062 | − | 0.583396i | ||||
\(268\) | −202.133 | − | 4077.97i | −0.0460718 | − | 0.929485i | ||||
\(269\) | − | 6354.97i | − | 1.44041i | −0.693763 | − | 0.720204i | \(-0.744048\pi\) | ||
0.693763 | − | 0.720204i | \(-0.255952\pi\) | |||||||
\(270\) | −6885.51 | − | 4004.49i | −1.55200 | − | 0.902612i | ||||
\(271\) | 6211.52i | 1.39234i | 0.717879 | + | 0.696168i | \(0.245113\pi\) | ||||
−0.717879 | + | 0.696168i | \(0.754887\pi\) | |||||||
\(272\) | 1118.61 | − | 1638.31i | 0.249360 | − | 0.365210i | ||||
\(273\) | −2633.51 | − | 1165.18i | −0.583835 | − | 0.258315i | ||||
\(274\) | −1366.34 | − | 744.373i | −0.301255 | − | 0.164121i | ||||
\(275\) | 2403.87 | − | 874.937i | 0.527123 | − | 0.191857i | ||||
\(276\) | −1356.90 | − | 1677.37i | −0.295926 | − | 0.365818i | ||||
\(277\) | −573.729 | − | 3253.78i | −0.124448 | − | 0.705779i | −0.981634 | − | 0.190772i | \(-0.938901\pi\) |
0.857186 | − | 0.515006i | \(-0.172210\pi\) | |||||||
\(278\) | 717.500 | − | 144.919i | 0.154794 | − | 0.0312649i | ||||
\(279\) | 4823.24 | − | 190.892i | 1.03498 | − | 0.0409620i | ||||
\(280\) | 8286.12 | − | 616.709i | 1.76854 | − | 0.131626i | ||||
\(281\) | −2473.91 | + | 6797.00i | −0.525199 | + | 1.44297i | 0.339464 | + | 0.940619i | \(0.389754\pi\) |
−0.864663 | + | 0.502353i | \(0.832468\pi\) | |||||||
\(282\) | −2133.21 | − | 2774.82i | −0.450463 | − | 0.585952i | ||||
\(283\) | −2603.10 | + | 3102.25i | −0.546778 | + | 0.651624i | −0.966693 | − | 0.255939i | \(-0.917615\pi\) |
0.419915 | + | 0.907563i | \(0.362060\pi\) | |||||||
\(284\) | −134.772 | − | 591.400i | −0.0281592 | − | 0.123567i | ||||
\(285\) | −11311.1 | − | 7591.22i | −2.35092 | − | 1.57777i | ||||
\(286\) | 616.548 | + | 491.852i | 0.127473 | + | 0.101692i | ||||
\(287\) | 520.244 | − | 901.088i | 0.107000 | − | 0.185329i | ||||
\(288\) | 2396.37 | + | 4259.73i | 0.490304 | + | 0.871551i | ||||
\(289\) | −1976.11 | − | 3422.72i | −0.402221 | − | 0.696667i | ||||
\(290\) | 2191.81 | − | 14525.0i | 0.443819 | − | 2.94116i | ||||
\(291\) | 3067.42 | + | 757.222i | 0.617922 | + | 0.152540i | ||||
\(292\) | −5202.98 | − | 1606.84i | −1.04274 | − | 0.322032i | ||||
\(293\) | 2291.92 | + | 404.127i | 0.456981 | + | 0.0805781i | 0.397400 | − | 0.917645i | \(-0.369912\pi\) |
0.0595808 | + | 0.998223i | \(0.481024\pi\) | |||||||
\(294\) | 82.6941 | − | 90.4096i | 0.0164042 | − | 0.0179347i | ||||
\(295\) | −1093.25 | − | 1302.89i | −0.215768 | − | 0.257142i | ||||
\(296\) | 3422.31 | + | 5025.11i | 0.672019 | + | 0.986752i | ||||
\(297\) | −1290.84 | − | 36.0642i | −0.252197 | − | 0.00704599i | ||||
\(298\) | 1343.25 | − | 3995.73i | 0.261115 | − | 0.776733i | ||||
\(299\) | 1204.48 | − | 1010.68i | 0.232966 | − | 0.195482i | ||||
\(300\) | −207.501 | + | 11551.2i | −0.0399335 | + | 2.22304i | ||||
\(301\) | −1119.12 | + | 6346.87i | −0.214303 | + | 1.21537i | ||||
\(302\) | 74.1443 | + | 2993.51i | 0.0141276 | + | 0.570389i | ||||
\(303\) | −2914.68 | + | 843.109i | −0.552620 | + | 0.159853i | ||||
\(304\) | 3621.57 | + | 7533.36i | 0.683260 | + | 1.42128i | ||||
\(305\) | 14363.1 | − | 8292.52i | 2.69648 | − | 1.55681i | ||||
\(306\) | −2362.23 | + | 152.149i | −0.441306 | + | 0.0284240i | ||||
\(307\) | −7211.96 | − | 4163.83i | −1.34074 | − | 0.774079i | −0.353827 | − | 0.935311i | \(-0.615120\pi\) |
−0.986916 | + | 0.161232i | \(0.948453\pi\) | |||||||
\(308\) | 1131.83 | − | 730.466i | 0.209389 | − | 0.135137i | ||||
\(309\) | −1295.84 | − | 2641.27i | −0.238570 | − | 0.486267i | ||||
\(310\) | −5291.17 | − | 8661.93i | −0.969414 | − | 1.58698i | ||||
\(311\) | 5043.85 | + | 4232.29i | 0.919647 | + | 0.771676i | 0.973930 | − | 0.226850i | \(-0.0728427\pi\) |
−0.0542826 | + | 0.998526i | \(0.517287\pi\) | |||||||
\(312\) | −3072.55 | + | 1801.91i | −0.557528 | + | 0.326965i | ||||
\(313\) | −7555.57 | − | 2750.00i | −1.36443 | − | 0.496611i | −0.447008 | − | 0.894530i | \(-0.647510\pi\) |
−0.917421 | + | 0.397919i | \(0.869733\pi\) | |||||||
\(314\) | −1979.30 | + | 1746.14i | −0.355727 | + | 0.313824i | ||||
\(315\) | −6668.42 | − | 7337.13i | −1.19277 | − | 1.31238i | ||||
\(316\) | 9342.34 | + | 1173.97i | 1.66312 | + | 0.208991i | ||||
\(317\) | −4888.92 | + | 862.048i | −0.866212 | + | 0.152736i | −0.589060 | − | 0.808090i | \(-0.700502\pi\) |
−0.277152 | + | 0.960826i | \(0.589391\pi\) | |||||||
\(318\) | 2884.53 | + | 5528.87i | 0.508668 | + | 0.974979i | ||||
\(319\) | −814.510 | − | 2237.85i | −0.142959 | − | 0.392776i | ||||
\(320\) | 5367.93 | − | 8764.11i | 0.937738 | − | 1.53103i | ||||
\(321\) | −4472.73 | + | 480.620i | −0.777706 | + | 0.0835689i | ||||
\(322\) | −980.697 | − | 2500.03i | −0.169727 | − | 0.432674i | ||||
\(323\) | −4048.27 | −0.697373 | ||||||||
\(324\) | 2243.98 | − | 5383.01i | 0.384770 | − | 0.923012i | ||||
\(325\) | −8419.71 | −1.43705 | ||||||||
\(326\) | −262.283 | − | 668.620i | −0.0445599 | − | 0.113593i | ||||
\(327\) | 2587.89 | − | 278.084i | 0.437648 | − | 0.0470277i | ||||
\(328\) | −528.715 | − | 1173.35i | −0.0890042 | − | 0.197522i | ||||
\(329\) | −1490.05 | − | 4093.88i | −0.249693 | − | 0.686027i | ||||
\(330\) | 1256.03 | + | 2407.46i | 0.209521 | + | 0.401596i | ||||
\(331\) | −4859.06 | + | 856.783i | −0.806882 | + | 0.142275i | −0.561849 | − | 0.827240i | \(-0.689910\pi\) |
−0.245033 | + | 0.969515i | \(0.578799\pi\) | |||||||
\(332\) | 212.408 | − | 1690.32i | 0.0351127 | − | 0.279422i | ||||
\(333\) | 2209.71 | − | 6909.95i | 0.363637 | − | 1.13713i | ||||
\(334\) | −6354.52 | + | 5605.97i | −1.04103 | + | 0.918399i | ||||
\(335\) | 9626.87 | + | 3503.89i | 1.57007 | + | 0.571457i | ||||
\(336\) | 1244.97 | + | 5954.92i | 0.202140 | + | 0.966868i | ||||
\(337\) | 4457.30 | + | 3740.12i | 0.720489 | + | 0.604562i | 0.927521 | − | 0.373772i | \(-0.121936\pi\) |
−0.207032 | + | 0.978334i | \(0.566380\pi\) | |||||||
\(338\) | 1886.12 | + | 3087.67i | 0.303524 | + | 0.496886i | ||||
\(339\) | 942.965 | + | 1922.01i | 0.151076 | + | 0.307933i | ||||
\(340\) | 2699.12 | + | 4182.17i | 0.430530 | + | 0.667089i | ||||
\(341\) | −1425.09 | − | 822.779i | −0.226314 | − | 0.130663i | ||||
\(342\) | 4421.45 | − | 8940.35i | 0.699079 | − | 1.41356i | ||||
\(343\) | 5566.19 | − | 3213.64i | 0.876228 | − | 0.505890i | ||||
\(344\) | 5563.07 | + | 5709.36i | 0.871921 | + | 0.894849i | ||||
\(345\) | 5200.20 | − | 1504.23i | 0.811506 | − | 0.234739i | ||||
\(346\) | 74.9499 | + | 3026.04i | 0.0116455 | + | 0.470176i | ||||
\(347\) | 2007.76 | − | 11386.6i | 0.310611 | − | 1.76156i | −0.285228 | − | 0.958460i | \(-0.592069\pi\) |
0.595839 | − | 0.803104i | \(-0.296820\pi\) | |||||||
\(348\) | 10753.5 | + | 193.170i | 1.65646 | + | 0.0297557i | ||||
\(349\) | −1327.58 | + | 1113.97i | −0.203621 | + | 0.170858i | −0.738896 | − | 0.673820i | \(-0.764652\pi\) |
0.535275 | + | 0.844678i | \(0.320208\pi\) | |||||||
\(350\) | −4582.34 | + | 13631.0i | −0.699818 | + | 2.08173i | ||||
\(351\) | 3951.78 | + | 1564.65i | 0.600942 | + | 0.237934i | ||||
\(352\) | 84.4671 | − | 1664.04i | 0.0127901 | − | 0.251971i | ||||
\(353\) | 4626.52 | + | 5513.68i | 0.697578 | + | 0.831341i | 0.992250 | − | 0.124257i | \(-0.0396548\pi\) |
−0.294672 | + | 0.955598i | \(0.595210\pi\) | |||||||
\(354\) | 840.466 | − | 918.882i | 0.126187 | − | 0.137961i | ||||
\(355\) | 1498.82 | + | 264.282i | 0.224082 | + | 0.0395116i | ||||
\(356\) | 1960.98 | − | 6349.68i | 0.291943 | − | 0.945315i | ||||
\(357\) | −2860.57 | − | 706.159i | −0.424082 | − | 0.104689i | ||||
\(358\) | 416.949 | − | 2763.09i | 0.0615543 | − | 0.407915i | ||||
\(359\) | 965.681 | + | 1672.61i | 0.141969 | + | 0.245897i | 0.928238 | − | 0.371987i | \(-0.121323\pi\) |
−0.786269 | + | 0.617884i | \(0.787990\pi\) | |||||||
\(360\) | −12184.0 | + | 1393.13i | −1.78376 | + | 0.203957i | ||||
\(361\) | 5099.23 | − | 8832.12i | 0.743436 | − | 1.28767i | ||||
\(362\) | −4698.88 | − | 3748.54i | −0.682232 | − | 0.544251i | ||||
\(363\) | −5377.13 | − | 3608.76i | −0.777482 | − | 0.521792i | ||||
\(364\) | −4322.85 | + | 985.116i | −0.622470 | + | 0.141852i | ||||
\(365\) | 8782.61 | − | 10466.7i | 1.25946 | − | 1.50097i | ||||
\(366\) | 7401.03 | + | 9627.09i | 1.05699 | + | 1.37491i | ||||
\(367\) | 1026.82 | − | 2821.16i | 0.146047 | − | 0.401262i | −0.845001 | − | 0.534765i | \(-0.820400\pi\) |
0.991048 | + | 0.133503i | \(0.0426225\pi\) | |||||||
\(368\) | −3218.39 | − | 821.834i | −0.455897 | − | 0.116416i | ||||
\(369\) | −714.638 | + | 1359.25i | −0.100820 | + | 0.191761i | ||||
\(370\) | −14953.0 | + | 3020.17i | −2.10100 | + | 0.424354i | ||||
\(371\) | 1347.91 | + | 7644.36i | 0.188625 | + | 1.06975i | ||||
\(372\) | 5777.88 | − | 4673.97i | 0.805293 | − | 0.651436i | ||||
\(373\) | −3065.76 | + | 1115.84i | −0.425574 | + | 0.154896i | −0.545923 | − | 0.837836i | \(-0.683821\pi\) |
0.120349 | + | 0.992732i | \(0.461599\pi\) | |||||||
\(374\) | 708.628 | + | 386.055i | 0.0979741 | + | 0.0533754i | ||||
\(375\) | −14586.5 | − | 6453.71i | −2.00864 | − | 0.888716i | ||||
\(376\) | −5186.50 | − | 1462.11i | −0.711365 | − | 0.200539i | ||||
\(377\) | 7838.22i | 1.07079i | ||||||||
\(378\) | 4683.78 | − | 5546.14i | 0.637322 | − | 0.754662i | ||||
\(379\) | − | 3053.32i | − | 0.413821i | −0.978360 | − | 0.206911i | \(-0.933659\pi\) | ||
0.978360 | − | 0.206911i | \(-0.0663409\pi\) | |||||||
\(380\) | −20947.2 | + | 1038.29i | −2.82781 | + | 0.140166i | ||||
\(381\) | 470.976 | − | 343.860i | 0.0633302 | − | 0.0462375i | ||||
\(382\) | 1144.17 | − | 2100.20i | 0.153248 | − | 0.281297i | ||||
\(383\) | −2387.30 | + | 868.906i | −0.318499 | + | 0.115924i | −0.496323 | − | 0.868138i | \(-0.665317\pi\) |
0.177823 | + | 0.984062i | \(0.443094\pi\) | |||||||
\(384\) | 6877.75 | + | 3052.82i | 0.914006 | + | 0.405700i | ||||
\(385\) | 586.927 | + | 3328.63i | 0.0776950 | + | 0.440630i | ||||
\(386\) | −1351.22 | − | 6689.94i | −0.178174 | − | 0.882148i | ||||
\(387\) | 1279.99 | − | 9425.40i | 0.168127 | − | 1.23804i | ||||
\(388\) | 4483.04 | − | 1887.96i | 0.586577 | − | 0.247028i | ||||
\(389\) | −3323.51 | + | 9131.28i | −0.433185 | + | 1.19016i | 0.510662 | + | 0.859781i | \(0.329400\pi\) |
−0.943847 | + | 0.330383i | \(0.892822\pi\) | |||||||
\(390\) | −1174.61 | − | 8859.83i | −0.152509 | − | 1.15035i | ||||
\(391\) | 1034.08 | − | 1232.37i | 0.133749 | − | 0.159396i | ||||
\(392\) | 18.8781 | − | 187.692i | 0.00243236 | − | 0.0241833i | ||||
\(393\) | −378.884 | + | 5605.57i | −0.0486315 | + | 0.719500i | ||||
\(394\) | 6995.19 | − | 8768.63i | 0.894448 | − | 1.12121i | ||||
\(395\) | −11812.7 | + | 20460.2i | −1.50471 | + | 2.60624i | ||||
\(396\) | −1626.53 | + | 1143.32i | −0.206405 | + | 0.145086i | ||||
\(397\) | 3568.92 | + | 6181.55i | 0.451181 | + | 0.781468i | 0.998460 | − | 0.0554821i | \(-0.0176696\pi\) |
−0.547279 | + | 0.836950i | \(0.684336\pi\) | |||||||
\(398\) | −12243.3 | − | 1847.51i | −1.54197 | − | 0.232682i | ||||
\(399\) | 8603.32 | − | 8950.55i | 1.07946 | − | 1.12303i | ||||
\(400\) | 10373.3 | + | 14449.1i | 1.29667 | + | 1.80614i | ||||
\(401\) | −4980.53 | − | 878.201i | −0.620239 | − | 0.109365i | −0.145306 | − | 0.989387i | \(-0.546417\pi\) |
−0.474933 | + | 0.880022i | \(0.657528\pi\) | |||||||
\(402\) | −1616.84 | + | 7324.58i | −0.200599 | + | 0.908749i | ||||
\(403\) | 3481.39 | + | 4148.96i | 0.430324 | + | 0.512840i | ||||
\(404\) | −2821.88 | + | 3722.77i | −0.347510 | + | 0.458453i | ||||
\(405\) | 10262.5 | + | 10431.3i | 1.25913 | + | 1.27983i | ||||
\(406\) | 12689.6 | + | 4265.87i | 1.55116 | + | 0.521457i | ||||
\(407\) | −1894.55 | + | 1589.71i | −0.230735 | + | 0.193610i | ||||
\(408\) | −2775.79 | + | 2361.52i | −0.336819 | + | 0.286551i | ||||
\(409\) | 35.5436 | − | 201.578i | 0.00429711 | − | 0.0243701i | −0.982584 | − | 0.185820i | \(-0.940506\pi\) |
0.986881 | + | 0.161450i | \(0.0516170\pi\) | |||||||
\(410\) | 3228.17 | − | 79.9563i | 0.388849 | − | 0.00963113i | ||||
\(411\) | 2060.82 | + | 1980.87i | 0.247330 | + | 0.237735i | ||||
\(412\) | −4030.01 | − | 2067.80i | −0.481904 | − | 0.247265i | ||||
\(413\) | 1342.38 | − | 775.024i | 0.159938 | − | 0.0923400i | ||||
\(414\) | 1592.21 | + | 3629.68i | 0.189016 | + | 0.430892i | ||||
\(415\) | 3701.88 | + | 2137.28i | 0.437875 | + | 0.252807i | ||||
\(416\) | −2134.46 | + | 5051.53i | −0.251564 | + | 0.595365i | ||||
\(417\) | −1341.69 | − | 90.6856i | −0.157560 | − | 0.0106496i | ||||
\(418\) | −2901.63 | + | 1772.47i | −0.339530 | + | 0.207403i | ||||
\(419\) | 6918.00 | + | 5804.89i | 0.806603 | + | 0.676820i | 0.949794 | − | 0.312875i | \(-0.101292\pi\) |
−0.143192 | + | 0.989695i | \(0.545737\pi\) | |||||||
\(420\) | −14982.7 | − | 2920.25i | −1.74067 | − | 0.339271i | ||||
\(421\) | 1375.38 | + | 500.597i | 0.159221 | + | 0.0579516i | 0.420401 | − | 0.907338i | \(-0.361889\pi\) |
−0.261180 | + | 0.965290i | \(0.584112\pi\) | |||||||
\(422\) | −2074.82 | − | 2351.87i | −0.239338 | − | 0.271296i | ||||
\(423\) | 2436.41 | + | 5950.50i | 0.280052 | + | 0.683979i | ||||
\(424\) | 8648.16 | + | 4170.17i | 0.990547 | + | 0.477645i | ||||
\(425\) | −8483.80 | + | 1495.92i | −0.968294 | + | 0.170736i | ||||
\(426\) | −47.5948 | + | 1113.31i | −0.00541309 | + | 0.126620i | ||||
\(427\) | 5169.64 | + | 14203.5i | 0.585893 | + | 1.60973i | ||||
\(428\) | −5078.62 | + | 4709.06i | −0.573562 | + | 0.531824i | ||||
\(429\) | −854.387 | − | 1170.23i | −0.0961543 | − | 0.131700i | ||||
\(430\) | −18620.0 | + | 7304.18i | −2.08823 | + | 0.819160i | ||||
\(431\) | −2962.32 | −0.331067 | −0.165533 | − | 0.986204i | \(-0.552935\pi\) | ||||
−0.165533 | + | 0.986204i | \(0.552935\pi\) | |||||||
\(432\) | −2183.60 | − | 8709.39i | −0.243191 | − | 0.969978i | ||||
\(433\) | −3596.34 | −0.399144 | −0.199572 | − | 0.979883i | \(-0.563955\pi\) | ||||
−0.199572 | + | 0.979883i | \(0.563955\pi\) | |||||||
\(434\) | 8611.60 | − | 3378.12i | 0.952466 | − | 0.373629i | ||||
\(435\) | −10918.9 | + | 24678.5i | −1.20350 | + | 2.72010i | ||||
\(436\) | 2938.46 | − | 2724.63i | 0.322767 | − | 0.299280i | ||||
\(437\) | 2318.38 | + | 6369.69i | 0.253783 | + | 0.697263i | ||||
\(438\) | 8442.11 | + | 5367.44i | 0.920958 | + | 0.585540i | ||||
\(439\) | −9175.51 | + | 1617.89i | −0.997547 | + | 0.175895i | −0.648503 | − | 0.761212i | \(-0.724605\pi\) |
−0.349044 | + | 0.937106i | \(0.613494\pi\) | |||||||
\(440\) | 3765.72 | + | 1815.84i | 0.408008 | + | 0.196743i | ||||
\(441\) | −190.332 | + | 120.167i | −0.0205520 | + | 0.0129756i | ||||
\(442\) | −1757.09 | − | 1991.71i | −0.189087 | − | 0.214335i | ||||
\(443\) | 1938.49 | + | 705.554i | 0.207902 | + | 0.0756701i | 0.443872 | − | 0.896090i | \(-0.353604\pi\) |
−0.235970 | + | 0.971760i | \(0.575827\pi\) | |||||||
\(444\) | −3631.00 | − | 10562.6i | −0.388107 | − | 1.12901i | ||||
\(445\) | 12773.5 | + | 10718.2i | 1.36072 | + | 1.14178i | ||||
\(446\) | 11881.6 | − | 7257.92i | 1.26146 | − | 0.770566i | ||||
\(447\) | −4315.62 | + | 6430.38i | −0.456649 | + | 0.680417i | ||||
\(448\) | 7016.45 | + | 6204.79i | 0.739946 | + | 0.654350i | ||||
\(449\) | −13884.9 | − | 8016.43i | −1.45939 | − | 0.842580i | −0.460410 | − | 0.887706i | \(-0.652298\pi\) |
−0.998981 | + | 0.0451259i | \(0.985631\pi\) | |||||||
\(450\) | 5962.23 | − | 20369.8i | 0.624582 | − | 2.13387i | ||||
\(451\) | 453.379 | − | 261.758i | 0.0473365 | − | 0.0273297i | ||||
\(452\) | 2932.57 | + | 1504.70i | 0.305170 | + | 0.156582i | ||||
\(453\) | 1318.43 | − | 5340.80i | 0.136744 | − | 0.553935i | ||||
\(454\) | −4401.72 | + | 109.023i | −0.455029 | + | 0.0112703i | ||||
\(455\) | 1931.77 | − | 10955.6i | 0.199039 | − | 1.12881i | ||||
\(456\) | −2769.31 | − | 15104.1i | −0.284397 | − | 1.55113i | ||||
\(457\) | 1362.29 | − | 1143.10i | 0.139443 | − | 0.117007i | −0.570398 | − | 0.821368i | \(-0.693211\pi\) |
0.709841 | + | 0.704362i | \(0.248767\pi\) | |||||||
\(458\) | −4653.28 | − | 1564.30i | −0.474745 | − | 0.159596i | ||||
\(459\) | 4259.85 | + | 874.449i | 0.433187 | + | 0.0889233i | ||||
\(460\) | 5034.64 | − | 6641.96i | 0.510308 | − | 0.673224i | ||||
\(461\) | −7020.27 | − | 8366.44i | −0.709256 | − | 0.845258i | 0.284285 | − | 0.958740i | \(-0.408244\pi\) |
−0.993540 | + | 0.113482i | \(0.963800\pi\) | |||||||
\(462\) | −2359.52 | + | 746.311i | −0.237608 | + | 0.0751548i | ||||
\(463\) | 8142.23 | + | 1435.69i | 0.817282 | + | 0.144109i | 0.566634 | − | 0.823970i | \(-0.308245\pi\) |
0.250648 | + | 0.968078i | \(0.419356\pi\) | |||||||
\(464\) | 13451.2 | − | 9656.91i | 1.34581 | − | 0.966187i | ||||
\(465\) | 5181.48 | + | 17912.7i | 0.516742 | + | 1.78641i | ||||
\(466\) | 12455.4 | + | 1879.52i | 1.23817 | + | 0.186839i | ||||
\(467\) | −9006.95 | − | 15600.5i | −0.892488 | − | 1.54583i | −0.836883 | − | 0.547381i | \(-0.815625\pi\) |
−0.0556047 | − | 0.998453i | \(-0.517709\pi\) | |||||||
\(468\) | 6317.65 | − | 1705.12i | 0.624003 | − | 0.168417i | ||||
\(469\) | −4668.33 | + | 8085.78i | −0.459623 | + | 0.796091i | ||||
\(470\) | 8431.87 | − | 10569.5i | 0.827517 | − | 1.03731i | ||||
\(471\) | 4353.26 | − | 2135.77i | 0.425877 | − | 0.208941i | ||||
\(472\) | 191.868 | − | 1907.61i | 0.0187107 | − | 0.186027i | ||||
\(473\) | −2084.34 | + | 2484.02i | −0.202618 | + | 0.241470i | ||||
\(474\) | −15987.2 | − | 6605.12i | −1.54919 | − | 0.640049i | ||||
\(475\) | 12414.7 | − | 34109.1i | 1.19921 | − | 3.29480i | ||||
\(476\) | −4180.73 | + | 1760.65i | −0.402570 | + | 0.169536i | ||||
\(477\) | −2434.01 | − | 11194.9i | −0.233639 | − | 1.07459i | ||||
\(478\) | −3547.47 | − | 17563.7i | −0.339451 | − | 1.68064i | ||||
\(479\) | −1796.16 | − | 10186.5i | −0.171333 | − | 0.971677i | −0.942292 | − | 0.334793i | \(-0.891334\pi\) |
0.770959 | − | 0.636885i | \(-0.219777\pi\) | |||||||
\(480\) | −13757.3 | + | 12931.3i | −1.30819 | + | 1.22965i | ||||
\(481\) | 7649.09 | − | 2784.04i | 0.725091 | − | 0.263911i | ||||
\(482\) | −8210.42 | + | 15070.8i | −0.775881 | + | 1.42418i | ||||
\(483\) | 527.106 | + | 4905.33i | 0.0496566 | + | 0.462113i | ||||
\(484\) | −9958.00 | + | 493.588i | −0.935199 | + | 0.0463550i | ||||
\(485\) | 12205.3i | 1.14271i | ||||||||
\(486\) | −6583.72 | + | 8452.57i | −0.614493 | + | 0.788922i | ||||
\(487\) | − | 4962.94i | − | 0.461791i | −0.972979 | − | 0.230896i | \(-0.925834\pi\) | ||
0.972979 | − | 0.230896i | \(-0.0741656\pi\) | |||||||
\(488\) | 17994.3 | + | 5072.71i | 1.66918 | + | 0.470555i | ||||
\(489\) | 140.972 | + | 1311.91i | 0.0130368 | + | 0.121322i | ||||
\(490\) | 415.639 | + | 226.437i | 0.0383197 | + | 0.0208762i | ||||
\(491\) | −2818.84 | + | 1025.97i | −0.259089 | + | 0.0943005i | −0.468299 | − | 0.883570i | \(-0.655133\pi\) |
0.209210 | + | 0.977871i | \(0.432911\pi\) | |||||||
\(492\) | 368.673 | + | 2335.39i | 0.0337826 | + | 0.213999i | ||||
\(493\) | 1392.61 | + | 7897.88i | 0.127221 | + | 0.721506i | ||||
\(494\) | 10969.6 | − | 2215.60i | 0.999077 | − | 0.201791i | ||||
\(495\) | −1059.86 | − | 4874.65i | −0.0962363 | − | 0.442625i | ||||
\(496\) | 2830.90 | − | 11086.1i | 0.256272 | − | 1.00359i | ||||
\(497\) | −474.396 | + | 1303.39i | −0.0428160 | + | 0.117636i | ||||
\(498\) | −1195.07 | + | 2892.58i | −0.107535 | + | 0.260280i | ||||
\(499\) | −9561.10 | + | 11394.5i | −0.857743 | + | 1.02222i | 0.141735 | + | 0.989905i | \(0.454732\pi\) |
−0.999478 | + | 0.0323137i | \(0.989712\pi\) | |||||||
\(500\) | −23943.4 | + | 5456.36i | −2.14156 | + | 0.488032i | ||||
\(501\) | 13976.1 | − | 6856.87i | 1.24632 | − | 0.611462i | ||||
\(502\) | 4598.43 | + | 3668.40i | 0.408840 | + | 0.326153i | ||||
\(503\) | 2377.14 | − | 4117.32i | 0.210718 | − | 0.364975i | −0.741221 | − | 0.671261i | \(-0.765753\pi\) |
0.951940 | + | 0.306286i | \(0.0990863\pi\) | |||||||
\(504\) | 677.840 | − | 11155.8i | 0.0599075 | − | 0.985954i | ||||
\(505\) | −5860.57 | − | 10150.8i | −0.516420 | − | 0.894465i | ||||
\(506\) | 201.612 | − | 1336.07i | 0.0177130 | − | 0.117383i | ||||
\(507\) | −1847.01 | − | 6385.24i | −0.161793 | − | 0.559326i | ||||
\(508\) | 264.926 | − | 857.833i | 0.0231382 | − | 0.0749216i | ||||
\(509\) | 7121.88 | + | 1255.78i | 0.620181 | + | 0.109355i | 0.474906 | − | 0.880037i | \(-0.342482\pi\) |
0.145275 | + | 0.989391i | \(0.453593\pi\) | |||||||
\(510\) | −2757.67 | − | 8718.58i | −0.239434 | − | 0.756990i | ||||
\(511\) | 8004.16 | + | 9538.98i | 0.692922 | + | 0.825792i | ||||
\(512\) | 11298.7 | − | 2560.67i | 0.975267 | − | 0.221029i | ||||
\(513\) | −12165.4 | + | 13702.0i | −1.04701 | + | 1.17926i | ||||
\(514\) | −1837.56 | + | 5466.13i | −0.157687 | + | 0.469068i | ||||
\(515\) | 8706.24 | − | 7305.40i | 0.744937 | − | 0.625077i | ||||
\(516\) | −7093.31 | − | 12812.0i | −0.605166 | − | 1.09306i | ||||
\(517\) | 380.639 | − | 2158.71i | 0.0323800 | − | 0.183636i | ||||
\(518\) | −344.244 | − | 13898.6i | −0.0291992 | − | 1.17890i | ||||
\(519\) | 1332.75 | − | 5398.82i | 0.112719 | − | 0.456613i | ||||
\(520\) | −9602.68 | − | 9855.19i | −0.809818 | − | 0.831113i | ||||
\(521\) | −5534.40 | + | 3195.29i | −0.465387 | + | 0.268691i | −0.714307 | − | 0.699833i | \(-0.753258\pi\) |
0.248920 | + | 0.968524i | \(0.419924\pi\) | |||||||
\(522\) | −18963.0 | − | 5550.45i | −1.59001 | − | 0.465396i | ||||
\(523\) | 14065.4 | + | 8120.66i | 1.17598 | + | 0.678952i | 0.955081 | − | 0.296345i | \(-0.0957679\pi\) |
0.220898 | + | 0.975297i | \(0.429101\pi\) | |||||||
\(524\) | 4690.57 | + | 7267.84i | 0.391047 | + | 0.605911i | ||||
\(525\) | 14722.2 | − | 21936.5i | 1.22387 | − | 1.82359i | ||||
\(526\) | 10778.6 | + | 17645.1i | 0.893477 | + | 1.46267i | ||||
\(527\) | 4245.03 | + | 3562.01i | 0.350885 | + | 0.294428i | ||||
\(528\) | −955.616 | + | 2907.98i | −0.0787648 | + | 0.239685i | ||||
\(529\) | 8901.98 | + | 3240.06i | 0.731649 | + | 0.266299i | ||||
\(530\) | −18065.2 | + | 15937.2i | −1.48057 | + | 1.30616i | ||||
\(531\) | −1934.45 | + | 1221.32i | −0.158094 | + | 0.0998132i | ||||
\(532\) | 2383.15 | − | 18964.8i | 0.194216 | − | 1.54554i | ||||
\(533\) | −1696.89 | + | 299.208i | −0.137900 | + | 0.0243154i | ||||
\(534\) | −6550.39 | + | 10302.7i | −0.530830 | + | 0.834908i | ||||
\(535\) | −5943.57 | − | 16329.8i | −0.480305 | − | 1.31963i | ||||
\(536\) | 4744.34 | + | 10528.9i | 0.382322 | + | 0.848466i | ||||
\(537\) | −2077.11 | + | 4694.60i | −0.166916 | + | 0.377257i | ||||
\(538\) | 6564.01 | + | 16733.2i | 0.526012 | + | 1.34093i | ||||
\(539\) | 76.7349 | 0.00613211 | ||||||||
\(540\) | 22266.3 | + | 3432.16i | 1.77443 | + | 0.273512i | ||||
\(541\) | 4765.45 | 0.378711 | 0.189356 | − | 0.981909i | \(-0.439360\pi\) | ||||
0.189356 | + | 0.981909i | \(0.439360\pi\) | |||||||
\(542\) | −6415.83 | − | 16355.5i | −0.508457 | − | 1.29618i | ||||
\(543\) | 6511.52 | + | 8918.66i | 0.514615 | + | 0.704855i | ||||
\(544\) | −1253.21 | + | 5469.21i | −0.0987697 | + | 0.431049i | ||||
\(545\) | 3438.91 | + | 9448.34i | 0.270288 | + | 0.742610i | ||||
\(546\) | 8137.75 | + | 347.895i | 0.637845 | + | 0.0272684i | ||||
\(547\) | −7239.52 | + | 1276.52i | −0.565886 | + | 0.0997809i | −0.449270 | − | 0.893396i | \(-0.648316\pi\) |
−0.116616 | + | 0.993177i | \(0.537205\pi\) | |||||||
\(548\) | 4366.56 | + | 548.709i | 0.340383 | + | 0.0427731i | ||||
\(549\) | −8452.97 | − | 20644.9i | −0.657129 | − | 1.60492i | ||||
\(550\) | −5425.87 | + | 4786.72i | −0.420654 | + | 0.371103i | ||||
\(551\) | −31753.4 | − | 11557.3i | −2.45506 | − | 0.893570i | ||||
\(552\) | 5305.36 | + | 3015.13i | 0.409078 | + | 0.232486i | ||||
\(553\) | −16494.0 | − | 13840.1i | −1.26835 | − | 1.06427i | ||||
\(554\) | 4871.48 | + | 7974.88i | 0.373591 | + | 0.611588i | ||||
\(555\) | 27961.3 | + | 1889.93i | 2.13855 | + | 0.144546i | ||||
\(556\) | −1739.55 | + | 1122.68i | −0.132686 | + | 0.0856338i | ||||
\(557\) | −11699.3 | − | 6754.59i | −0.889973 | − | 0.513826i | −0.0160394 | − | 0.999871i | \(-0.505106\pi\) |
−0.873934 | + | 0.486045i | \(0.838439\pi\) | |||||||
\(558\) | −12502.8 | + | 5484.53i | −0.948543 | + | 0.416091i | ||||
\(559\) | 9242.82 | − | 5336.35i | 0.699338 | − | 0.403763i | ||||
\(560\) | −21181.1 | + | 10182.5i | −1.59833 | + | 0.768375i | ||||
\(561\) | −1068.80 | − | 1027.34i | −0.0804367 | − | 0.0773162i | ||||
\(562\) | −506.570 | − | 20452.4i | −0.0380220 | − | 1.53511i | ||||
\(563\) | 583.223 | − | 3307.62i | 0.0436588 | − | 0.247602i | −0.955166 | − | 0.296071i | \(-0.904323\pi\) |
0.998825 | + | 0.0484698i | \(0.0154345\pi\) | |||||||
\(564\) | 8483.00 | + | 5102.97i | 0.633331 | + | 0.380982i | ||||
\(565\) | −6335.39 | + | 5316.02i | −0.471738 | + | 0.395835i | ||||
\(566\) | 3649.88 | − | 10857.2i | 0.271053 | − | 0.806294i | ||||
\(567\) | −10986.4 | + | 7560.00i | −0.813728 | + | 0.559948i | ||||
\(568\) | 965.718 | + | 1418.00i | 0.0713391 | + | 0.104750i | ||||
\(569\) | −2783.31 | − | 3317.02i | −0.205066 | − | 0.244388i | 0.653703 | − | 0.756751i | \(-0.273215\pi\) |
−0.858769 | + | 0.512363i | \(0.828770\pi\) | |||||||
\(570\) | 37624.0 | + | 8305.18i | 2.76473 | + | 0.610291i | ||||
\(571\) | 5571.75 | + | 982.450i | 0.408354 | + | 0.0720039i | 0.374052 | − | 0.927408i | \(-0.377968\pi\) |
0.0343021 | + | 0.999412i | \(0.489079\pi\) | |||||||
\(572\) | −2131.45 | − | 658.260i | −0.155805 | − | 0.0481176i | ||||
\(573\) | −3044.79 | + | 3167.67i | −0.221986 | + | 0.230945i | ||||
\(574\) | −439.118 | + | 2910.00i | −0.0319310 | + | 0.211604i | ||||
\(575\) | 7212.28 | + | 12492.0i | 0.523083 | + | 0.906007i | ||||
\(576\) | −10709.7 | − | 8741.02i | −0.774717 | − | 0.632308i | ||||
\(577\) | −102.266 | + | 177.129i | −0.00737846 | + | 0.0127799i | −0.869691 | − | 0.493596i | \(-0.835682\pi\) |
0.862313 | + | 0.506376i | \(0.169015\pi\) | |||||||
\(578\) | 8738.57 | + | 6971.21i | 0.628852 | + | 0.501668i | ||||
\(579\) | −845.549 | + | 12509.8i | −0.0606905 | + | 0.897913i | ||||
\(580\) | 9231.51 | + | 40509.4i | 0.660892 | + | 2.90010i | ||||
\(581\) | −2504.10 | + | 2984.27i | −0.178808 | + | 0.213095i | ||||
\(582\) | −8858.90 | + | 1174.48i | −0.630950 | + | 0.0836494i | ||||
\(583\) | −1335.78 | + | 3670.03i | −0.0948926 | + | 0.260715i | ||||
\(584\) | 15359.6 | − | 1143.16i | 1.08833 | − | 0.0810008i | ||||
\(585\) | −2209.44 | + | 16269.6i | −0.156153 | + | 1.14986i | ||||
\(586\) | −6452.24 | + | 1303.21i | −0.454846 | + | 0.0918686i | ||||
\(587\) | 538.233 | + | 3052.47i | 0.0378454 | + | 0.214632i | 0.997866 | − | 0.0652981i | \(-0.0207998\pi\) |
−0.960020 | + | 0.279930i | \(0.909689\pi\) | |||||||
\(588\) | −124.357 | + | 323.470i | −0.00872178 | + | 0.0226865i | ||||
\(589\) | −21941.1 | + | 7985.90i | −1.53492 | + | 0.558665i | ||||
\(590\) | 4224.37 | + | 2301.40i | 0.294770 | + | 0.160588i | ||||
\(591\) | −16643.2 | + | 12151.2i | −1.15839 | + | 0.845743i | ||||
\(592\) | −14201.6 | − | 9696.66i | −0.985951 | − | 0.673193i | ||||
\(593\) | 2605.07i | 0.180401i | 0.995924 | + | 0.0902003i | \(0.0287507\pi\) | ||||
−0.995924 | + | 0.0902003i | \(0.971249\pi\) | |||||||
\(594\) | 3436.15 | − | 1238.34i | 0.237352 | − | 0.0855385i | ||||
\(595\) | − | 11382.2i | − | 0.784246i | ||||||
\(596\) | 590.270 | + | 11908.5i | 0.0405678 | + | 0.818443i | ||||
\(597\) | 20801.9 | + | 9203.72i | 1.42607 | + | 0.630960i | ||||
\(598\) | −2127.57 | + | 3905.30i | −0.145490 | + | 0.267056i | ||||
\(599\) | −25408.2 | + | 9247.82i | −1.73314 | + | 0.630811i | −0.998846 | − | 0.0480229i | \(-0.984708\pi\) |
−0.734292 | + | 0.678834i | \(0.762486\pi\) | |||||||
\(600\) | −11384.8 | − | 30629.7i | −0.774640 | − | 2.08409i | ||||
\(601\) | −3281.27 | − | 18609.0i | −0.222705 | − | 1.26302i | −0.867024 | − | 0.498266i | \(-0.833970\pi\) |
0.644319 | − | 0.764757i | \(-0.277141\pi\) | |||||||
\(602\) | −3608.89 | − | 17867.8i | −0.244331 | − | 1.20969i | ||||
\(603\) | 6412.70 | − | 12197.0i | 0.433077 | − | 0.823717i | ||||
\(604\) | −3287.21 | − | 7805.59i | −0.221448 | − | 0.525836i | ||||
\(605\) | 8556.15 | − | 23507.8i | 0.574970 | − | 1.57972i | ||||
\(606\) | 6803.75 | − | 5230.53i | 0.456078 | − | 0.350620i | ||||
\(607\) | 9517.88 | − | 11343.0i | 0.636440 | − | 0.758479i | −0.347364 | − | 0.937731i | \(-0.612923\pi\) |
0.983803 | + | 0.179251i | \(0.0573674\pi\) | |||||||
\(608\) | −17317.0 | − | 16095.3i | −1.15510 | − | 1.07360i | ||||
\(609\) | −20421.5 | − | 13705.5i | −1.35882 | − | 0.911944i | ||||
\(610\) | −29253.9 | + | 36670.4i | −1.94173 | + | 2.43400i | ||||
\(611\) | −3607.32 | + | 6248.07i | −0.238849 | + | 0.413698i | ||||
\(612\) | 6062.79 | − | 2840.55i | 0.400447 | − | 0.187618i | ||||
\(613\) | −1629.87 | − | 2823.02i | −0.107390 | − | 0.186004i | 0.807322 | − | 0.590111i | \(-0.200916\pi\) |
−0.914712 | + | 0.404106i | \(0.867583\pi\) | |||||||
\(614\) | 23290.5 | + | 3514.53i | 1.53083 | + | 0.231001i | ||||
\(615\) | −5759.45 | − | 1421.78i | −0.377632 | − | 0.0932221i | ||||
\(616\) | −2225.70 | + | 3092.43i | −0.145578 | + | 0.202269i | ||||
\(617\) | 17797.2 | + | 3138.13i | 1.16125 | + | 0.204759i | 0.720881 | − | 0.693059i | \(-0.243737\pi\) |
0.440367 | + | 0.897818i | \(0.354848\pi\) | |||||||
\(618\) | 6140.22 | + | 5616.22i | 0.399669 | + | 0.365562i | ||||
\(619\) | 3921.65 | + | 4673.64i | 0.254643 | + | 0.303472i | 0.878188 | − | 0.478316i | \(-0.158752\pi\) |
−0.623545 | + | 0.781788i | \(0.714308\pi\) | |||||||
\(620\) | 22878.9 | + | 17342.4i | 1.48200 | + | 1.12337i | ||||
\(621\) | −1063.66 | − | 7203.40i | −0.0687331 | − | 0.465479i | ||||
\(622\) | −17652.4 | − | 5934.22i | −1.13794 | − | 0.382541i | ||||
\(623\) | −11641.3 | + | 9768.21i | −0.748634 | + | 0.628178i | ||||
\(624\) | 6229.10 | − | 7918.20i | 0.399621 | − | 0.507983i | ||||
\(625\) | 4667.07 | − | 26468.2i | 0.298692 | − | 1.69397i | ||||
\(626\) | 22734.9 | − | 563.105i | 1.45155 | − | 0.0359524i | ||||
\(627\) | 6000.50 | − | 1735.72i | 0.382196 | − | 0.110555i | ||||
\(628\) | 3408.08 | − | 6642.15i | 0.216556 | − | 0.422055i | ||||
\(629\) | 7212.68 | − | 4164.24i | 0.457215 | − | 0.263973i | ||||
\(630\) | 25137.0 | + | 12431.5i | 1.58965 | + | 0.786164i | ||||
\(631\) | −3219.40 | − | 1858.72i | −0.203110 | − | 0.117265i | 0.394995 | − | 0.918683i | \(-0.370746\pi\) |
−0.598105 | + | 0.801418i | \(0.704080\pi\) | |||||||
\(632\) | −25811.7 | + | 6558.46i | −1.62458 | + | 0.412787i | ||||
\(633\) | 2537.79 | + | 5172.69i | 0.159349 | + | 0.324796i | ||||
\(634\) | 11982.5 | − | 7319.58i | 0.750611 | − | 0.458513i | ||||
\(635\) | 1725.68 | + | 1448.02i | 0.107845 | + | 0.0904927i | ||||
\(636\) | −13305.9 | − | 11578.6i | −0.829583 | − | 0.721886i | ||||
\(637\) | −237.329 | − | 86.3808i | −0.0147619 | − | 0.00537289i | ||||
\(638\) | 4456.13 | + | 5051.14i | 0.276520 | + | 0.313443i | ||||
\(639\) | 623.542 | − | 1949.87i | 0.0386024 | − | 0.120713i | ||||
\(640\) | −5081.81 | + | 28621.1i | −0.313869 | + | 1.76773i | ||||
\(641\) | 9929.96 | − | 1750.92i | 0.611872 | − | 0.107890i | 0.140879 | − | 0.990027i | \(-0.455007\pi\) |
0.470992 | + | 0.882137i | \(0.343896\pi\) | |||||||
\(642\) | 11280.7 | − | 5885.37i | 0.693476 | − | 0.361802i | ||||
\(643\) | −382.671 | − | 1051.38i | −0.0234698 | − | 0.0644827i | 0.927404 | − | 0.374060i | \(-0.122035\pi\) |
−0.950874 | + | 0.309577i | \(0.899812\pi\) | |||||||
\(644\) | 5164.52 | + | 5569.82i | 0.316010 | + | 0.340810i | ||||
\(645\) | 36534.6 | − | 3925.85i | 2.23031 | − | 0.239659i | ||||
\(646\) | 10659.4 | − | 4181.42i | 0.649210 | − | 0.254669i | ||||
\(647\) | 13661.7 | 0.830136 | 0.415068 | − | 0.909790i | \(-0.363758\pi\) | ||||
0.415068 | + | 0.909790i | \(0.363758\pi\) | |||||||
\(648\) | −348.513 | + | 16491.7i | −0.0211279 | + | 0.999777i | ||||
\(649\) | 779.899 | 0.0471706 | ||||||||
\(650\) | 22169.8 | − | 8696.66i | 1.33780 | − | 0.524786i | ||||
\(651\) | −16896.9 | + | 1815.67i | −1.01727 | + | 0.109312i | ||||
\(652\) | 1381.23 | + | 1489.62i | 0.0829647 | + | 0.0894757i | ||||
\(653\) | −2337.78 | − | 6423.01i | −0.140099 | − | 0.384919i | 0.849723 | − | 0.527229i | \(-0.176769\pi\) |
−0.989822 | + | 0.142311i | \(0.954547\pi\) | |||||||
\(654\) | −6526.91 | + | 3405.23i | −0.390248 | + | 0.203601i | ||||
\(655\) | −21374.3 | + | 3768.86i | −1.27506 | + | 0.224827i | ||||
\(656\) | 2604.09 | + | 2543.42i | 0.154989 | + | 0.151378i | ||||
\(657\) | −12360.9 | − | 13600.5i | −0.734012 | − | 0.807618i | ||||
\(658\) | 8151.96 | + | 9240.46i | 0.482973 | + | 0.547463i | ||||
\(659\) | −2164.74 | − | 787.903i | −0.127961 | − | 0.0465741i | 0.277246 | − | 0.960799i | \(-0.410578\pi\) |
−0.405207 | + | 0.914225i | \(0.632801\pi\) | |||||||
\(660\) | −5793.88 | − | 5041.71i | −0.341707 | − | 0.297346i | ||||
\(661\) | 4206.18 | + | 3529.40i | 0.247506 | + | 0.207682i | 0.758097 | − | 0.652141i | \(-0.226129\pi\) |
−0.510592 | + | 0.859823i | \(0.670574\pi\) | |||||||
\(662\) | 11909.3 | − | 7274.87i | 0.699199 | − | 0.427108i | ||||
\(663\) | 2149.17 | + | 4380.56i | 0.125892 | + | 0.256602i | ||||
\(664\) | 1186.63 | + | 4670.14i | 0.0693525 | + | 0.272947i | ||||
\(665\) | 41534.0 | + | 23979.7i | 2.42198 | + | 1.39833i | ||||
\(666\) | 1318.89 | + | 20476.9i | 0.0767359 | + | 1.19139i | ||||
\(667\) | 11629.3 | − | 6714.18i | 0.675095 | − | 0.389766i | ||||
\(668\) | 10941.6 | − | 21324.5i | 0.633748 | − | 1.23514i | ||||
\(669\) | −24570.8 | + | 7107.45i | −1.41998 | + | 0.410747i | ||||
\(670\) | −28967.5 | + | 717.476i | −1.67032 | + | 0.0413709i | ||||
\(671\) | −1320.60 | + | 7489.52i | −0.0759782 | + | 0.430894i | ||||
\(672\) | −9428.92 | − | 14393.9i | −0.541263 | − | 0.826274i | ||||
\(673\) | 11627.0 | − | 9756.23i | 0.665957 | − | 0.558804i | −0.245909 | − | 0.969293i | \(-0.579086\pi\) |
0.911866 | + | 0.410489i | \(0.134642\pi\) | |||||||
\(674\) | −15599.6 | − | 5244.14i | −0.891505 | − | 0.299698i | ||||
\(675\) | −20431.3 | + | 33210.2i | −1.16504 | + | 1.89372i | ||||
\(676\) | −8155.54 | − | 6181.95i | −0.464016 | − | 0.351727i | ||||
\(677\) | 5971.41 | + | 7116.45i | 0.338995 | + | 0.403999i | 0.908430 | − | 0.418038i | \(-0.137282\pi\) |
−0.569434 | + | 0.822037i | \(0.692838\pi\) | |||||||
\(678\) | −4468.14 | − | 4086.83i | −0.253094 | − | 0.231495i | ||||
\(679\) | −10954.5 | − | 1931.57i | −0.619138 | − | 0.109171i | ||||
\(680\) | −11426.7 | − | 8224.11i | −0.644405 | − | 0.463794i | ||||
\(681\) | 7853.21 | + | 1938.64i | 0.441903 | + | 0.109088i | ||||
\(682\) | 4602.24 | + | 694.476i | 0.258400 | + | 0.0389925i | ||||
\(683\) | −12802.0 | − | 22173.6i | −0.717208 | − | 1.24224i | −0.962102 | − | 0.272691i | \(-0.912086\pi\) |
0.244893 | − | 0.969550i | \(-0.421247\pi\) | |||||||
\(684\) | −2407.64 | + | 28107.6i | −0.134589 | + | 1.57123i | ||||
\(685\) | −5521.20 | + | 9563.00i | −0.307962 | + | 0.533406i | ||||
\(686\) | −11336.9 | + | 14211.1i | −0.630969 | + | 0.790935i | ||||
\(687\) | 7488.58 | + | 5025.81i | 0.415876 | + | 0.279107i | ||||
\(688\) | −20545.2 | − | 9287.16i | −1.13849 | − | 0.514636i | ||||
\(689\) | 8262.73 | − | 9847.13i | 0.456872 | − | 0.544479i | ||||
\(690\) | −12138.9 | + | 9332.01i | −0.669737 | + | 0.514875i | ||||
\(691\) | 8812.34 | − | 24211.7i | 0.485148 | − | 1.33293i | −0.419879 | − | 0.907580i | \(-0.637928\pi\) |
0.905027 | − | 0.425353i | \(-0.139850\pi\) | |||||||
\(692\) | −3322.92 | − | 7890.40i | −0.182541 | − | 0.433451i | ||||
\(693\) | 4542.82 | − | 179.793i | 0.249015 | − | 0.00985539i | ||||
\(694\) | 6474.50 | + | 32055.6i | 0.354134 | + | 1.75333i | ||||
\(695\) | −902.072 | − | 5115.91i | −0.0492339 | − | 0.279219i | ||||
\(696\) | −28514.3 | + | 10598.6i | −1.55292 | + | 0.577209i | ||||
\(697\) | −1656.65 | + | 602.971i | −0.0900287 | + | 0.0327678i | ||||
\(698\) | 2345.01 | − | 4304.43i | 0.127163 | − | 0.233417i | ||||
\(699\) | −21162.3 | − | 9363.15i | −1.14511 | − | 0.506648i | ||||
\(700\) | −2013.64 | − | 40624.5i | −0.108726 | − | 2.19352i | ||||
\(701\) | 15204.6i | 0.819213i | 0.912262 | + | 0.409607i | \(0.134334\pi\) | ||||
−0.912262 | + | 0.409607i | \(0.865666\pi\) | |||||||
\(702\) | −12021.5 | − | 38.0837i | −0.646328 | − | 0.00204754i | ||||
\(703\) | 35092.2i | 1.88269i | ||||||||
\(704\) | 1496.37 | + | 4468.80i | 0.0801086 | + | 0.239239i | ||||
\(705\) | −20061.4 | + | 14646.8i | −1.07171 | + | 0.782457i | ||||
\(706\) | −17877.1 | − | 9739.27i | −0.952992 | − | 0.519182i | ||||
\(707\) | 10038.0 | − | 3653.54i | 0.533972 | − | 0.194350i | ||||
\(708\) | −1263.91 | + | 3287.61i | −0.0670914 | + | 0.174514i | ||||
\(709\) | 2023.37 | + | 11475.1i | 0.107178 | + | 0.607836i | 0.990328 | + | 0.138746i | \(0.0443070\pi\) |
−0.883150 | + | 0.469090i | \(0.844582\pi\) | |||||||
\(710\) | −4219.49 | + | 852.241i | −0.223035 | + | 0.0450479i | ||||
\(711\) | 25132.4 | + | 19448.0i | 1.32565 | + | 1.02582i | ||||
\(712\) | 1395.11 | + | 18744.7i | 0.0734324 | + | 0.986641i | ||||
\(713\) | 3173.53 | − | 8719.20i | 0.166690 | − | 0.457976i | ||||
\(714\) | 8261.51 | − | 1095.28i | 0.433024 | − | 0.0574089i | ||||
\(715\) | 3597.88 | − | 4287.79i | 0.188186 | − | 0.224272i | ||||
\(716\) | 1756.11 | + | 7706.11i | 0.0916606 | + | 0.402222i | ||||
\(717\) | −2219.90 | + | 32843.2i | −0.115626 | + | 1.71067i | ||||
\(718\) | −4270.35 | − | 3406.67i | −0.221961 | − | 0.177070i | ||||
\(719\) | 7426.34 | − | 12862.8i | 0.385196 | − | 0.667179i | −0.606601 | − | 0.795007i | \(-0.707467\pi\) |
0.991796 | + | 0.127828i | \(0.0408006\pi\) | |||||||
\(720\) | 30642.6 | − | 16253.0i | 1.58608 | − | 0.841269i | ||||
\(721\) | 5178.91 | + | 8970.14i | 0.267507 | + | 0.463336i | ||||
\(722\) | −4304.06 | + | 28522.7i | −0.221857 | + | 1.47023i | ||||
\(723\) | 21849.0 | − | 22730.8i | 1.12389 | − | 1.16925i | ||||
\(724\) | 16244.4 | + | 5016.78i | 0.833865 | + | 0.257524i | ||||
\(725\) | −70815.1 | − | 12486.6i | −3.62760 | − | 0.639643i | ||||
\(726\) | 17885.9 | + | 3948.16i | 0.914336 | + | 0.201832i | ||||
\(727\) | 13767.3 | + | 16407.2i | 0.702340 | + | 0.837016i | 0.992789 | − | 0.119875i | \(-0.0382493\pi\) |
−0.290449 | + | 0.956890i | \(0.593805\pi\) | |||||||
\(728\) | 10364.9 | − | 7058.93i | 0.527677 | − | 0.359370i | ||||
\(729\) | 15760.9 | − | 11790.4i | 0.800738 | − | 0.599014i | ||||
\(730\) | −12314.4 | + | 36631.2i | −0.624349 | + | 1.85724i | ||||
\(731\) | 8365.08 | − | 7019.13i | 0.423247 | − | 0.355146i | ||||
\(732\) | −29431.3 | − | 17704.5i | −1.48608 | − | 0.893956i | ||||
\(733\) | 3721.47 | − | 21105.5i | 0.187525 | − | 1.06351i | −0.735143 | − | 0.677912i | \(-0.762885\pi\) |
0.922668 | − | 0.385595i | \(-0.126004\pi\) | |||||||
\(734\) | 210.257 | + | 8488.94i | 0.0105732 | + | 0.426883i | ||||
\(735\) | −626.897 | − | 602.577i | −0.0314605 | − | 0.0302400i | ||||
\(736\) | 9323.16 | − | 1160.29i | 0.466924 | − | 0.0581101i | ||||
\(737\) | −4068.33 | + | 2348.85i | −0.203336 | + | 0.117396i | ||||
\(738\) | 477.743 | − | 4317.16i | 0.0238292 | − | 0.215335i | ||||
\(739\) | −24791.7 | − | 14313.5i | −1.23407 | − | 0.712490i | −0.266194 | − | 0.963920i | \(-0.585766\pi\) |
−0.967876 | + | 0.251429i | \(0.919099\pi\) | |||||||
\(740\) | 36253.0 | − | 23397.2i | 1.80093 | − | 1.16230i | ||||
\(741\) | −20512.5 | − | 1386.46i | −1.01693 | − | 0.0687351i | ||||
\(742\) | −11445.0 | − | 18736.0i | −0.566250 | − | 0.926982i | ||||
\(743\) | −2840.45 | − | 2383.42i | −0.140250 | − | 0.117684i | 0.569964 | − | 0.821670i | \(-0.306957\pi\) |
−0.710214 | + | 0.703986i | \(0.751402\pi\) | |||||||
\(744\) | −10385.9 | + | 18274.9i | −0.511783 | + | 0.900524i | ||||
\(745\) | −28112.4 | − | 10232.1i | −1.38250 | − | 0.503188i | ||||
\(746\) | 6919.85 | − | 6104.71i | 0.339616 | − | 0.299610i | ||||
\(747\) | 3518.75 | − | 4547.22i | 0.172349 | − | 0.222723i | ||||
\(748\) | −2264.63 | − | 284.577i | −0.110699 | − | 0.0139107i | ||||
\(749\) | 15596.9 | − | 2750.16i | 0.760881 | − | 0.134164i | ||||
\(750\) | 45073.4 | + | 1926.92i | 2.19446 | + | 0.0938150i | ||||
\(751\) | −1069.03 | − | 2937.14i | −0.0519434 | − | 0.142713i | 0.911008 | − | 0.412389i | \(-0.135306\pi\) |
−0.962951 | + | 0.269676i | \(0.913083\pi\) | |||||||
\(752\) | 15166.7 | − | 1507.24i | 0.735469 | − | 0.0730896i | ||||
\(753\) | −6372.31 | − | 8727.99i | −0.308393 | − | 0.422398i | ||||
\(754\) | −8096.04 | − | 20638.7i | −0.391035 | − | 0.996839i | ||||
\(755\) | 21251.1 | 1.02438 | ||||||||
\(756\) | −6604.23 | + | 19441.3i | −0.317716 | + | 0.935281i | ||||
\(757\) | 34653.2 | 1.66379 | 0.831897 | − | 0.554929i | \(-0.187255\pi\) | ||||
0.831897 | + | 0.554929i | \(0.187255\pi\) | |||||||
\(758\) | 3153.75 | + | 8039.64i | 0.151120 | + | 0.385241i | ||||
\(759\) | −1004.37 | + | 2270.04i | −0.0480320 | + | 0.108560i | ||||
\(760\) | 54083.3 | − | 24370.1i | 2.58133 | − | 1.16315i | ||||
\(761\) | −5554.23 | − | 15260.1i | −0.264574 | − | 0.726911i | −0.998845 | − | 0.0480543i | \(-0.984698\pi\) |
0.734271 | − | 0.678857i | \(-0.237524\pi\) | |||||||
\(762\) | −884.948 | + | 1391.88i | −0.0420713 | + | 0.0661712i | ||||
\(763\) | −9024.29 | + | 1591.23i | −0.428180 | + | 0.0754997i | ||||
\(764\) | −843.417 | + | 6711.81i | −0.0399395 | + | 0.317833i | ||||
\(765\) | 664.348 | + | 16786.0i | 0.0313981 | + | 0.793333i | ||||
\(766\) | 5388.47 | − | 4753.73i | 0.254169 | − | 0.224229i | ||||
\(767\) | −2412.11 | − | 877.935i | −0.113554 | − | 0.0413304i | ||||
\(768\) | −21262.9 | − | 934.361i | −0.999036 | − | 0.0439009i | ||||
\(769\) | −13606.8 | − | 11417.5i | −0.638068 | − | 0.535403i | 0.265356 | − | 0.964150i | \(-0.414510\pi\) |
−0.903424 | + | 0.428748i | \(0.858955\pi\) | |||||||
\(770\) | −4983.54 | − | 8158.32i | −0.233239 | − | 0.381825i | ||||
\(771\) | 5903.75 | − | 8796.72i | 0.275769 | − | 0.410903i | ||||
\(772\) | 10467.9 | + | 16219.5i | 0.488014 | + | 0.756157i | ||||
\(773\) | −21080.7 | − | 12171.0i | −0.980882 | − | 0.566312i | −0.0783455 | − | 0.996926i | \(-0.524964\pi\) |
−0.902536 | + | 0.430614i | \(0.858297\pi\) | |||||||
\(774\) | 6365.11 | + | 26140.0i | 0.295593 | + | 1.21393i | ||||
\(775\) | −43030.2 | + | 24843.5i | −1.99444 | + | 1.15149i | ||||
\(776\) | −9854.16 | + | 9601.67i | −0.455855 | + | 0.444175i | ||||
\(777\) | −6121.32 | + | 24796.7i | −0.282627 | + | 1.14489i | ||||
\(778\) | −680.540 | − | 27476.3i | −0.0313606 | − | 1.26616i | ||||
\(779\) | 1289.91 | − | 7315.45i | 0.0593272 | − | 0.336461i | ||||
\(780\) | 12244.1 | + | 22115.4i | 0.562063 | + | 1.01520i | ||||
\(781\) | −534.610 | + | 448.591i | −0.0244940 | + | 0.0205529i | ||||
\(782\) | −1449.92 | + | 4313.03i | −0.0663030 | + | 0.197230i | ||||
\(783\) | 30916.6 | + | 19020.3i | 1.41107 | + | 0.868109i | ||||
\(784\) | 144.158 | + | 513.707i | 0.00656695 | + | 0.0234014i | ||||
\(785\) | 12040.6 | + | 14349.4i | 0.547447 | + | 0.652422i | ||||
\(786\) | −4792.32 | − | 15151.3i | −0.217476 | − | 0.687568i | ||||
\(787\) | 15916.5 | + | 2806.50i | 0.720916 | + | 0.127117i | 0.522056 | − | 0.852911i | \(-0.325165\pi\) |
0.198860 | + | 0.980028i | \(0.436276\pi\) | |||||||
\(788\) | −9361.87 | + | 30313.8i | −0.423227 | + | 1.37041i | ||||
\(789\) | −10555.1 | − | 36489.7i | −0.476264 | − | 1.64647i | ||||
\(790\) | 9970.65 | − | 66074.7i | 0.449038 | − | 2.97574i | ||||
\(791\) | −3768.61 | − | 6527.43i | −0.169401 | − | 0.293412i | ||||
\(792\) | 3101.87 | − | 4690.49i | 0.139167 | − | 0.210441i | ||||
\(793\) | 12515.4 | − | 21677.3i | 0.560447 | − | 0.970723i | ||||
\(794\) | −15782.1 | − | 12590.2i | −0.705399 | − | 0.562733i | ||||
\(795\) | 39732.5 | − | 19493.3i | 1.77254 | − | 0.869631i | ||||
\(796\) | 34146.0 | − | 7781.38i | 1.52044 | − | 0.346487i | ||||
\(797\) | −25573.1 | + | 30476.9i | −1.13657 | + | 1.35451i | −0.210308 | + | 0.977635i | \(0.567447\pi\) |
−0.926263 | + | 0.376878i | \(0.876998\pi\) | |||||||
\(798\) | −13408.3 | + | 32453.9i | −0.594798 | + | 1.43967i | ||||
\(799\) | −2524.69 | + | 6936.54i | −0.111786 | + | 0.307130i | ||||
\(800\) | −42238.3 | − | 27331.3i | −1.86669 | − | 1.20788i | ||||
\(801\) | 16597.9 | − | 15085.2i | 0.732158 | − | 0.665429i | ||||
\(802\) | 14021.2 | − | 2831.97i | 0.617341 | − | 0.124689i | ||||
\(803\) | 1087.96 | + | 6170.11i | 0.0478122 | + | 0.271156i | ||||
\(804\) | −3308.23 | − | 20956.3i | −0.145115 | − | 0.919242i | ||||
\(805\) | −17909.3 | + | 6518.43i | −0.784122 | + | 0.285397i | ||||
\(806\) | −13452.2 | − | 7328.66i | −0.587884 | − | 0.320274i | ||||
\(807\) | −3528.03 | − | 32832.4i | −0.153894 | − | 1.43216i | ||||
\(808\) | 3585.03 | − | 12717.1i | 0.156090 | − | 0.553694i | ||||
\(809\) | 9123.79i | 0.396509i | 0.980151 | + | 0.198254i | \(0.0635272\pi\) | ||||
−0.980151 | + | 0.198254i | \(0.936473\pi\) | |||||||
\(810\) | −37796.5 | − | 16866.3i | −1.63955 | − | 0.731630i | ||||
\(811\) | − | 33141.2i | − | 1.43495i | −0.696583 | − | 0.717476i | \(-0.745297\pi\) | ||
0.696583 | − | 0.717476i | \(-0.254703\pi\) | |||||||
\(812\) | −37818.9 | + | 1874.57i | −1.63446 | + | 0.0810153i | ||||
\(813\) | 3448.39 | + | 32091.3i | 0.148758 | + | 1.38437i | ||||
\(814\) | 3346.50 | − | 6142.72i | 0.144097 | − | 0.264499i | ||||
\(815\) | −4789.75 | + | 1743.33i | −0.205862 | + | 0.0749277i | ||||
\(816\) | 4869.69 | − | 9085.19i | 0.208913 | − | 0.389761i | ||||
\(817\) | 7989.72 | + | 45311.9i | 0.342136 | + | 1.94035i | ||||
\(818\) | 114.619 | + | 567.484i | 0.00489921 | + | 0.0242562i | ||||
\(819\) | −14252.6 | − | 4557.80i | −0.608092 | − | 0.194459i | ||||
\(820\) | −8417.46 | + | 3544.89i | −0.358476 | + | 0.150967i | ||||
\(821\) | −5815.60 | + | 15978.2i | −0.247218 | + | 0.679226i | 0.752568 | + | 0.658515i | \(0.228815\pi\) |
−0.999786 | + | 0.0207107i | \(0.993407\pi\) | |||||||
\(822\) | −7472.34 | − | 3087.20i | −0.317066 | − | 0.130996i | ||||
\(823\) | −14689.6 | + | 17506.4i | −0.622172 | + | 0.741475i | −0.981442 | − | 0.191758i | \(-0.938581\pi\) |
0.359271 | + | 0.933233i | \(0.383025\pi\) | |||||||
\(824\) | 12747.2 | + | 1282.11i | 0.538919 | + | 0.0542046i | ||||
\(825\) | 11933.6 | − | 5854.81i | 0.503607 | − | 0.247077i | ||||
\(826\) | −2734.08 | + | 3427.24i | −0.115171 | + | 0.144369i | ||||
\(827\) | 12350.7 | − | 21392.0i | 0.519318 | − | 0.899485i | −0.480430 | − | 0.877033i | \(-0.659519\pi\) |
0.999748 | − | 0.0224517i | \(-0.00714719\pi\) | |||||||
\(828\) | −7941.49 | − | 7912.68i | −0.333316 | − | 0.332107i | ||||
\(829\) | −2071.91 | − | 3588.65i | −0.0868037 | − | 0.150348i | 0.819355 | − | 0.573287i | \(-0.194332\pi\) |
−0.906158 | + | 0.422939i | \(0.860999\pi\) | |||||||
\(830\) | −11955.0 | − | 1804.00i | −0.499955 | − | 0.0754430i | ||||
\(831\) | −4770.49 | − | 16491.9i | −0.199141 | − | 0.688443i | ||||
\(832\) | 402.519 | − | 15505.8i | 0.0167726 | − | 0.646113i | ||||
\(833\) | −254.483 | − | 44.8722i | −0.0105850 | − | 0.00186642i | ||||
\(834\) | 3626.44 | − | 1147.04i | 0.150568 | − | 0.0476243i | ||||
\(835\) | 38656.0 | + | 46068.5i | 1.60209 | + | 1.90930i | ||||
\(836\) | 5809.46 | − | 7664.14i | 0.240340 | − | 0.317069i | ||||
\(837\) | 24812.9 | − | 3663.90i | 1.02468 | − | 0.151306i | ||||
\(838\) | −24211.5 | − | 8139.22i | −0.998058 | − | 0.335519i | ||||
\(839\) | 8191.26 | − | 6873.28i | 0.337060 | − | 0.282827i | −0.458509 | − | 0.888690i | \(-0.651616\pi\) |
0.795569 | + | 0.605863i | \(0.207172\pi\) | |||||||
\(840\) | 42467.1 | − | 7786.30i | 1.74435 | − | 0.319825i | ||||
\(841\) | −7389.14 | + | 41905.9i | −0.302970 | + | 1.71823i | ||||
\(842\) | −4138.55 | + | 102.505i | −0.169387 | + | 0.00419543i | ||||
\(843\) | −9007.79 | + | 36489.5i | −0.368025 | + | 1.49082i | ||||
\(844\) | 7892.41 | + | 4049.59i | 0.321882 | + | 0.165157i | ||||
\(845\) | 22237.5 | − | 12838.9i | 0.905319 | − | 0.522686i | ||||
\(846\) | −12561.5 | − | 13151.6i | −0.510488 | − | 0.534470i | ||||
\(847\) | 19744.7 | + | 11399.6i | 0.800985 | + | 0.462449i | ||||
\(848\) | −27078.7 | − | 2047.79i | −1.09656 | − | 0.0829261i | ||||
\(849\) | −11726.4 | + | 17472.6i | −0.474028 | + | 0.706312i | ||||
\(850\) | 20793.4 | − | 12701.7i | 0.839069 | − | 0.512549i | ||||
\(851\) | −10682.8 | − | 8963.90i | −0.430318 | − | 0.361079i | ||||
\(852\) | −1024.61 | − | 2980.60i | −0.0412001 | − | 0.119852i | ||||
\(853\) | −22647.2 | − | 8242.92i | −0.909058 | − | 0.330870i | −0.155181 | − | 0.987886i | \(-0.549596\pi\) |
−0.753877 | + | 0.657016i | \(0.771818\pi\) | |||||||
\(854\) | −28282.8 | − | 32059.2i | −1.13327 | − | 1.28460i | ||||
\(855\) | −62652.1 | − | 32939.9i | −2.50603 | − | 1.31757i | ||||
\(856\) | 8508.48 | − | 17645.0i | 0.339736 | − | 0.704549i | ||||
\(857\) | 36273.8 | − | 6396.04i | 1.44584 | − | 0.254941i | 0.605003 | − | 0.796223i | \(-0.293172\pi\) |
0.840841 | + | 0.541282i | \(0.182061\pi\) | |||||||
\(858\) | 3458.40 | + | 2198.83i | 0.137608 | + | 0.0874904i | ||||
\(859\) | −5970.50 | − | 16403.8i | −0.237149 | − | 0.651561i | −0.999988 | − | 0.00497236i | \(-0.998417\pi\) |
0.762839 | − | 0.646589i | \(-0.223805\pi\) | |||||||
\(860\) | 41483.7 | − | 38465.0i | 1.64486 | − | 1.52517i | ||||
\(861\) | 2187.54 | − | 4944.21i | 0.0865869 | − | 0.195701i | ||||
\(862\) | 7800.03 | − | 3059.75i | 0.308202 | − | 0.120900i | ||||
\(863\) | −8999.58 | −0.354982 | −0.177491 | − | 0.984122i | \(-0.556798\pi\) | ||||
−0.177491 | + | 0.984122i | \(0.556798\pi\) | |||||||
\(864\) | 14745.5 | + | 20677.1i | 0.580615 | + | 0.814178i | ||||
\(865\) | 21482.0 | 0.844404 | ||||||||
\(866\) | 9469.48 | − | 3714.64i | 0.371577 | − | 0.145760i | ||||
\(867\) | −12109.6 | − | 16586.1i | −0.474351 | − | 0.649706i | ||||
\(868\) | −19185.8 | + | 17789.7i | −0.750242 | + | 0.695648i | ||||
\(869\) | −3705.25 | − | 10180.1i | −0.144640 | − | 0.397394i | ||||
\(870\) | 3260.12 | − | 76258.7i | 0.127044 | − | 2.97174i | ||||
\(871\) | 15226.8 | − | 2684.90i | 0.592354 | − | 0.104448i | ||||
\(872\) | −4922.95 | + | 10209.3i | −0.191184 | + | 0.396480i | ||||
\(873\) | 16267.9 | + | 2209.21i | 0.630682 | + | 0.0856478i | ||||
\(874\) | −12683.7 | − | 14377.3i | −0.490884 | − | 0.556430i | ||||
\(875\) | 52769.1 | + | 19206.4i | 2.03877 | + | 0.742050i | ||||
\(876\) | −27772.8 | − | 5413.13i | −1.07118 | − | 0.208782i | ||||
\(877\) | 34787.6 | + | 29190.3i | 1.33945 | + | 1.12393i | 0.981768 | + | 0.190085i | \(0.0608762\pi\) |
0.357679 | + | 0.933845i | \(0.383568\pi\) | |||||||
\(878\) | 22488.8 | − | 13737.4i | 0.864419 | − | 0.528034i | ||||
\(879\) | 12065.4 | + | 815.506i | 0.462974 | + | 0.0312928i | ||||
\(880\) | −11791.0 | − | 891.679i | −0.451676 | − | 0.0341574i | ||||
\(881\) | 26059.7 | + | 15045.6i | 0.996564 | + | 0.575367i | 0.907230 | − | 0.420635i | \(-0.138193\pi\) |
0.0893342 | + | 0.996002i | \(0.471526\pi\) | |||||||
\(882\) | 377.040 | − | 513.001i | 0.0143941 | − | 0.0195846i | ||||
\(883\) | −6875.30 | + | 3969.46i | −0.262030 | + | 0.151283i | −0.625260 | − | 0.780416i | \(-0.715007\pi\) |
0.363230 | + | 0.931699i | \(0.381674\pi\) | |||||||
\(884\) | 6683.80 | + | 3429.46i | 0.254299 | + | 0.130481i | ||||
\(885\) | −6371.50 | − | 6124.32i | −0.242006 | − | 0.232618i | ||||
\(886\) | −5832.98 | + | 144.473i | −0.221177 | + | 0.00547818i | ||||
\(887\) | −4428.12 | + | 25113.1i | −0.167623 | + | 0.950639i | 0.778695 | + | 0.627403i | \(0.215882\pi\) |
−0.946318 | + | 0.323236i | \(0.895229\pi\) | |||||||
\(888\) | 20470.8 | + | 24061.8i | 0.773598 | + | 0.909305i | ||||
\(889\) | −1572.72 | + | 1319.67i | −0.0593335 | + | 0.0497867i | ||||
\(890\) | −44704.4 | − | 15028.4i | −1.68370 | − | 0.566013i | ||||
\(891\) | −6689.05 | + | 530.303i | −0.251506 | + | 0.0199392i | ||||
\(892\) | −23788.6 | + | 31383.1i | −0.892938 | + | 1.17801i | ||||
\(893\) | −19992.6 | − | 23826.3i | −0.749191 | − | 0.892851i | ||||
\(894\) | 4721.51 | − | 21389.3i | 0.176634 | − | 0.800185i | ||||
\(895\) | −19530.0 | − | 3443.67i | −0.729403 | − | 0.128613i | ||||
\(896\) | −24883.8 | − | 9090.51i | −0.927800 | − | 0.338943i | ||||
\(897\) | 5661.75 | − | 5890.26i | 0.210747 | − | 0.219253i | ||||
\(898\) | 44840.1 | + | 6766.36i | 1.66630 | + | 0.251443i | ||||
\(899\) | 23127.7 | + | 40058.4i | 0.858011 | + | 1.48612i | ||||
\(900\) | 5340.76 | + | 59793.7i | 0.197806 | + | 2.21458i | ||||
\(901\) | 6576.09 | − | 11390.1i | 0.243153 | − | 0.421154i | ||||
\(902\) | −923.416 | + | 1157.52i | −0.0340869 | + | 0.0427287i | ||||
\(903\) | −2258.33 | + | 33411.8i | −0.0832253 | + | 1.23131i | ||||
\(904\) | −9275.91 | − | 932.974i | −0.341275 | − | 0.0343255i | ||||
\(905\) | −27420.5 | + | 32678.4i | −1.00717 | + | 1.20030i | ||||
\(906\) | 2044.94 | + | 15424.6i | 0.0749874 | + | 0.565615i | ||||
\(907\) | −12859.5 | + | 35331.1i | −0.470774 | + | 1.29344i | 0.446358 | + | 0.894855i | \(0.352721\pi\) |
−0.917131 | + | 0.398585i | \(0.869501\pi\) | |||||||
\(908\) | 11477.5 | − | 4833.57i | 0.419487 | − | 0.176661i | ||||
\(909\) | −14590.4 | + | 5973.96i | −0.532378 | + | 0.217980i | ||||
\(910\) | 6229.47 | + | 30842.4i | 0.226929 | + | 1.12353i | ||||
\(911\) | 8143.41 | + | 46183.5i | 0.296161 | + | 1.67961i | 0.662444 | + | 0.749111i | \(0.269519\pi\) |
−0.366283 | + | 0.930504i | \(0.619370\pi\) | |||||||
\(912\) | 22892.7 | + | 36909.9i | 0.831199 | + | 1.34014i | ||||
\(913\) | −1841.89 | + | 670.393i | −0.0667663 | + | 0.0243010i | ||||
\(914\) | −2406.33 | + | 4416.98i | −0.0870837 | + | 0.159848i | ||||
\(915\) | 69601.8 | − | 50816.4i | 2.51472 | − | 1.83600i | ||||
\(916\) | 13868.2 | − | 687.407i | 0.500239 | − | 0.0247954i | ||||
\(917\) | − | 19780.2i | − | 0.712324i | ||||||
\(918\) | −12119.8 | + | 2097.48i | −0.435743 | + | 0.0754107i | ||||
\(919\) | − | 26438.5i | − | 0.948994i | −0.880257 | − | 0.474497i | \(-0.842630\pi\) | ||
0.880257 | − | 0.474497i | \(-0.157370\pi\) | |||||||
\(920\) | −6396.21 | + | 22689.1i | −0.229214 | + | 0.813084i | ||||
\(921\) | −39571.5 | − | 17508.2i | −1.41577 | − | 0.626402i | ||||
\(922\) | 27126.6 | + | 14778.3i | 0.968945 | + | 0.527873i | ||||
\(923\) | 2158.45 | − | 785.610i | 0.0769730 | − | 0.0280159i | ||||
\(924\) | 5441.95 | − | 4402.23i | 0.193752 | − | 0.156735i | ||||
\(925\) | 12967.4 | + | 73541.5i | 0.460934 | + | 2.61409i | ||||
\(926\) | −22922.1 | + | 4629.74i | −0.813463 | + | 0.164301i | ||||
\(927\) | −8161.19 | − | 12926.5i | −0.289157 | − | 0.457995i | ||||
\(928\) | −25443.7 | + | 39321.2i | −0.900032 | + | 1.39093i | ||||
\(929\) | 16463.2 | − | 45232.4i | 0.581422 | − | 1.59744i | −0.204329 | − | 0.978902i | \(-0.565501\pi\) |
0.785752 | − | 0.618542i | \(-0.212276\pi\) | |||||||
\(930\) | −32145.1 | − | 41813.6i | −1.13342 | − | 1.47433i | ||||
\(931\) | 699.874 | − | 834.078i | 0.0246374 | − | 0.0293618i | ||||
\(932\) | −34737.5 | + | 7916.17i | −1.22088 | + | 0.278222i | ||||
\(933\) | 28408.2 | + | 19065.6i | 0.996829 | + | 0.669003i | ||||
\(934\) | 39829.7 | + | 31774.2i | 1.39536 | + | 1.11315i | ||||
\(935\) | 2863.46 | − | 4959.66i | 0.100155 | − | 0.173474i | ||||
\(936\) | −14873.7 | + | 11015.2i | −0.519404 | + | 0.384660i | ||||
\(937\) | 6066.55 | + | 10507.6i | 0.211511 | + | 0.366348i | 0.952188 | − | 0.305514i | \(-0.0988283\pi\) |
−0.740677 | + | 0.671862i | \(0.765495\pi\) | |||||||
\(938\) | 3940.36 | − | 26112.4i | 0.137161 | − | 0.908956i | ||||
\(939\) | −40561.9 | − | 10013.1i | −1.40968 | − | 0.347993i | ||||
\(940\) | −11284.6 | + | 36539.7i | −0.391557 | + | 1.26787i | ||||
\(941\) | −1765.00 | − | 311.218i | −0.0611450 | − | 0.0107815i | 0.142992 | − | 0.989724i | \(-0.454328\pi\) |
−0.204137 | + | 0.978942i | \(0.565439\pi\) | |||||||
\(942\) | −9256.49 | + | 10120.1i | −0.320162 | + | 0.350033i | ||||
\(943\) | 1897.47 | + | 2261.32i | 0.0655252 | + | 0.0780899i | ||||
\(944\) | 1465.15 | + | 5221.08i | 0.0505156 | + | 0.180012i | ||||
\(945\) | −38525.1 | − | 34204.6i | −1.32616 | − | 1.17743i | ||||
\(946\) | 2922.52 | − | 8693.55i | 0.100443 | − | 0.298786i | ||||
\(947\) | −22994.3 | + | 19294.5i | −0.789034 | + | 0.662078i | −0.945506 | − | 0.325604i | \(-0.894432\pi\) |
0.156472 | + | 0.987682i | \(0.449988\pi\) | |||||||
\(948\) | 48918.1 | + | 878.739i | 1.67593 | + | 0.0301056i | ||||
\(949\) | 3580.83 | − | 20307.9i | 0.122486 | − | 0.694650i | ||||
\(950\) | 2542.10 | + | 102635.i | 0.0868175 | + | 3.50518i | ||||
\(951\) | −24779.6 | + | 7167.83i | −0.844935 | + | 0.244409i | ||||
\(952\) | 9189.65 | − | 8954.19i | 0.312855 | − | 0.304839i | ||||
\(953\) | −928.122 | + | 535.852i | −0.0315476 | + | 0.0182140i | −0.515691 | − | 0.856775i | \(-0.672465\pi\) |
0.484143 | + | 0.874989i | \(0.339131\pi\) | |||||||
\(954\) | 17972.1 | + | 26963.0i | 0.609924 | + | 0.915052i | ||||
\(955\) | −14699.2 | − | 8486.60i | −0.498069 | − | 0.287560i | ||||
\(956\) | 27482.2 | + | 42582.6i | 0.929748 | + | 1.44061i | ||||
\(957\) | −5450.46 | − | 11109.5i | −0.184105 | − | 0.375254i | ||||
\(958\) | 15251.0 | + | 24966.7i | 0.514340 | + | 0.842002i | ||||
\(959\) | −7709.20 | − | 6468.79i | −0.259586 | − | 0.217819i | ||||
\(960\) | 22867.4 | − | 48259.1i | 0.768795 | − | 1.62245i | ||||
\(961\) | 2039.84 | + | 742.443i | 0.0684718 | + | 0.0249217i | ||||
\(962\) | −17265.1 | + | 15231.3i | −0.578637 | + | 0.510475i | ||||
\(963\) | −22841.1 | + | 4966.16i | −0.764326 | + | 0.166181i | ||||
\(964\) | 6052.25 | − | 48163.1i | 0.202209 | − | 1.60916i | ||||
\(965\) | −47700.5 | + | 8410.89i | −1.59123 | + | 0.280576i | ||||
\(966\) | −6454.60 | − | 12371.7i | −0.214983 | − | 0.412063i | ||||
\(967\) | −10529.8 | − | 28930.4i | −0.350171 | − | 0.962088i | −0.982315 | − | 0.187237i | \(-0.940047\pi\) |
0.632144 | − | 0.774851i | \(-0.282175\pi\) | |||||||
\(968\) | 25710.4 | − | 11585.2i | 0.853682 | − | 0.384672i | ||||
\(969\) | −20915.0 | + | 2247.43i | −0.693381 | + | 0.0745077i | ||||
\(970\) | −12606.8 | − | 32137.6i | −0.417298 | − | 1.06379i | ||||
\(971\) | 4335.08 | 0.143274 | 0.0716371 | − | 0.997431i | \(-0.477178\pi\) | ||||
0.0716371 | + | 0.997431i | \(0.477178\pi\) | |||||||
\(972\) | 8604.88 | − | 29056.6i | 0.283952 | − | 0.958838i | ||||
\(973\) | 4734.38 | 0.155989 | ||||||||
\(974\) | 5126.18 | + | 13067.8i | 0.168638 | + | 0.429898i | ||||
\(975\) | −43499.7 | + | 4674.29i | −1.42883 | + | 0.153535i | ||||
\(976\) | −52620.0 | + | 5229.28i | −1.72574 | + | 0.171501i | ||||
\(977\) | 14851.9 | + | 40805.2i | 0.486340 | + | 1.33621i | 0.903972 | + | 0.427592i | \(0.140638\pi\) |
−0.417632 | + | 0.908616i | \(0.637140\pi\) | |||||||
\(978\) | −1726.25 | − | 3308.76i | −0.0564412 | − | 0.108182i | ||||
\(979\) | −7529.96 | + | 1327.74i | −0.245821 | + | 0.0433448i | ||||
\(980\) | −1328.30 | − | 166.916i | −0.0432968 | − | 0.00544075i | ||||
\(981\) | 13215.7 | − | 2873.39i | 0.430118 | − | 0.0935171i | ||||
\(982\) | 6362.52 | − | 5613.04i | 0.206758 | − | 0.182402i | ||||
\(983\) | 903.865 | + | 328.980i | 0.0293274 | + | 0.0106743i | 0.356642 | − | 0.934241i | \(-0.383922\pi\) |
−0.327315 | + | 0.944915i | \(0.606144\pi\) | |||||||
\(984\) | −3382.95 | − | 5768.48i | −0.109598 | − | 0.186882i | ||||
\(985\) | −60981.5 | − | 51169.6i | −1.97262 | − | 1.65523i | ||||
\(986\) | −11824.5 | − | 19357.4i | −0.381916 | − | 0.625217i | ||||
\(987\) | −9970.96 | − | 20323.4i | −0.321560 | − | 0.655422i | ||||
\(988\) | −26595.3 | + | 17164.3i | −0.856386 | + | 0.552700i | ||||
\(989\) | −15834.7 | − | 9142.18i | −0.509115 | − | 0.293938i | ||||
\(990\) | 7825.68 | + | 11740.7i | 0.251229 | + | 0.376912i | ||||
\(991\) | 8270.86 | − | 4775.18i | 0.265119 | − | 0.153066i | −0.361549 | − | 0.932353i | \(-0.617752\pi\) |
0.626667 | + | 0.779287i | \(0.284419\pi\) | |||||||
\(992\) | 3996.76 | + | 32114.6i | 0.127921 | + | 1.02786i | ||||
\(993\) | −24628.2 | + | 7124.04i | −0.787063 | + | 0.227668i | ||||
\(994\) | −97.1399 | − | 3921.94i | −0.00309969 | − | 0.125147i | ||||
\(995\) | −15259.0 | + | 86538.0i | −0.486173 | + | 2.75723i | ||||
\(996\) | 158.991 | − | 8850.79i | 0.00505805 | − | 0.281574i | ||||
\(997\) | 22959.1 | − | 19265.0i | 0.729310 | − | 0.611964i | −0.200633 | − | 0.979666i | \(-0.564300\pi\) |
0.929943 | + | 0.367703i | \(0.119856\pi\) | |||||||
\(998\) | 13405.9 | − | 39878.2i | 0.425207 | − | 1.26485i | ||||
\(999\) | 7580.13 | − | 36926.4i | 0.240065 | − | 1.16947i |
(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 | 108.4.l.a.59.7 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.59.37 | yes | 312 | |
27.11 | odd | 18 | inner | 108.4.l.a.11.37 | yes | 312 | |
108.11 | even | 18 | inner | 108.4.l.a.11.7 | ✓ | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.7 | ✓ | 312 | 108.11 | even | 18 | inner | |
108.4.l.a.11.37 | yes | 312 | 27.11 | odd | 18 | inner | |
108.4.l.a.59.7 | yes | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.59.37 | yes | 312 | 4.3 | odd | 2 | inner |