Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,4,Mod(59,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.59");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.m (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.08022920069\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.17 | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.4.m.b.59.20 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.65669 | − | 2.29246i | −0.585729 | − | 0.810507i | ||||
\(3\) | −4.82386 | − | 1.93142i | −0.928352 | − | 0.371702i | ||||
\(4\) | −2.51074 | + | 7.59580i | −0.313843 | + | 0.949475i | ||||
\(5\) | 7.20740 | − | 8.54713i | 0.644649 | − | 0.764478i | ||||
\(6\) | 3.56395 | + | 14.2583i | 0.242496 | + | 0.970152i | ||||
\(7\) | 30.0545 | 1.62279 | 0.811396 | − | 0.584497i | \(-0.198708\pi\) | ||||
0.811396 | + | 0.584497i | \(0.198708\pi\) | |||||||
\(8\) | 21.5726 | − | 6.82812i | 0.953383 | − | 0.301763i | ||||
\(9\) | 19.5392 | + | 18.6338i | 0.723676 | + | 0.690140i | ||||
\(10\) | −31.5344 | − | 2.36271i | −0.997205 | − | 0.0747155i | ||||
\(11\) | − | 35.6161i | − | 0.976241i | −0.872776 | − | 0.488121i | \(-0.837683\pi\) | ||
0.872776 | − | 0.488121i | \(-0.162317\pi\) | |||||||
\(12\) | 26.7822 | − | 31.7918i | 0.644278 | − | 0.764791i | ||||
\(13\) | −58.6475 | −1.25122 | −0.625611 | − | 0.780135i | \(-0.715150\pi\) | ||||
−0.625611 | + | 0.780135i | \(0.715150\pi\) | |||||||
\(14\) | −49.7911 | − | 68.8988i | −0.950517 | − | 1.31528i | ||||
\(15\) | −51.2756 | + | 27.3096i | −0.882620 | + | 0.470088i | ||||
\(16\) | −51.3923 | − | 38.1422i | −0.803005 | − | 0.595972i | ||||
\(17\) | −14.3949 | −0.205370 | −0.102685 | − | 0.994714i | \(-0.532743\pi\) | ||||
−0.102685 | + | 0.994714i | \(0.532743\pi\) | |||||||
\(18\) | 10.3467 | − | 75.6634i | 0.135486 | − | 0.990779i | ||||
\(19\) | 106.012 | 1.28004 | 0.640021 | − | 0.768357i | \(-0.278925\pi\) | ||||
0.640021 | + | 0.768357i | \(0.278925\pi\) | |||||||
\(20\) | 46.8263 | + | 76.2056i | 0.523534 | + | 0.852005i | ||||
\(21\) | −144.979 | − | 58.0479i | −1.50652 | − | 0.603195i | ||||
\(22\) | −81.6485 | + | 59.0049i | −0.791250 | + | 0.571813i | ||||
\(23\) | − | 47.7072i | − | 0.432506i | −0.976337 | − | 0.216253i | \(-0.930616\pi\) | ||
0.976337 | − | 0.216253i | \(-0.0693836\pi\) | |||||||
\(24\) | −117.251 | − | 8.72786i | −0.997241 | − | 0.0742319i | ||||
\(25\) | −21.1068 | − | 123.205i | −0.168855 | − | 0.985641i | ||||
\(26\) | 97.1608 | + | 134.447i | 0.732877 | + | 1.01412i | ||||
\(27\) | −58.2649 | − | 127.625i | −0.415299 | − | 0.909685i | ||||
\(28\) | −75.4593 | + | 228.288i | −0.509302 | + | 1.54080i | ||||
\(29\) | −49.5925 | −0.317555 | −0.158778 | − | 0.987314i | \(-0.550755\pi\) | ||||
−0.158778 | + | 0.987314i | \(0.550755\pi\) | |||||||
\(30\) | 147.554 | + | 72.3035i | 0.897985 | + | 0.440025i | ||||
\(31\) | − | 181.017i | − | 1.04876i | −0.851483 | − | 0.524382i | \(-0.824296\pi\) | ||
0.851483 | − | 0.524382i | \(-0.175704\pi\) | |||||||
\(32\) | −2.29829 | + | 181.005i | −0.0126964 | + | 0.999919i | ||||
\(33\) | −68.7896 | + | 171.807i | −0.362871 | + | 0.906296i | ||||
\(34\) | 23.8480 | + | 32.9998i | 0.120291 | + | 0.166454i | ||||
\(35\) | 216.615 | − | 256.880i | 1.04613 | − | 1.24059i | ||||
\(36\) | −190.597 | + | 101.631i | −0.882392 | + | 0.470516i | ||||
\(37\) | −113.746 | −0.505397 | −0.252699 | − | 0.967545i | \(-0.581318\pi\) | ||||
−0.252699 | + | 0.967545i | \(0.581318\pi\) | |||||||
\(38\) | −175.629 | − | 243.028i | −0.749758 | − | 1.03748i | ||||
\(39\) | 282.907 | + | 113.273i | 1.16158 | + | 0.465082i | ||||
\(40\) | 97.1215 | − | 233.597i | 0.383906 | − | 0.923372i | ||||
\(41\) | 53.6178i | 0.204236i | 0.994772 | + | 0.102118i | \(0.0325620\pi\) | ||||
−0.994772 | + | 0.102118i | \(0.967438\pi\) | |||||||
\(42\) | 107.113 | + | 428.526i | 0.393520 | + | 1.57436i | ||||
\(43\) | − | 490.109i | − | 1.73816i | −0.494669 | − | 0.869081i | \(-0.664711\pi\) | ||
0.494669 | − | 0.869081i | \(-0.335289\pi\) | |||||||
\(44\) | 270.533 | + | 89.4229i | 0.926917 | + | 0.306387i | ||||
\(45\) | 300.092 | − | 32.7033i | 0.994114 | − | 0.108336i | ||||
\(46\) | −109.367 | + | 79.0361i | −0.350549 | + | 0.253331i | ||||
\(47\) | 441.575i | 1.37043i | 0.728339 | + | 0.685217i | \(0.240293\pi\) | ||||
−0.728339 | + | 0.685217i | \(0.759707\pi\) | |||||||
\(48\) | 174.241 | + | 283.253i | 0.523947 | + | 0.851751i | ||||
\(49\) | 560.275 | 1.63346 | ||||||||
\(50\) | −247.475 | + | 252.499i | −0.699966 | + | 0.714176i | ||||
\(51\) | 69.4392 | + | 27.8027i | 0.190655 | + | 0.0763363i | ||||
\(52\) | 147.249 | − | 445.475i | 0.392688 | − | 1.18800i | ||||
\(53\) | 65.6784i | 0.170219i | 0.996372 | + | 0.0851097i | \(0.0271241\pi\) | ||||
−0.996372 | + | 0.0851097i | \(0.972876\pi\) | |||||||
\(54\) | −196.049 | + | 345.006i | −0.494053 | + | 0.869432i | ||||
\(55\) | −304.415 | − | 256.699i | −0.746316 | − | 0.629333i | ||||
\(56\) | 648.354 | − | 205.216i | 1.54714 | − | 0.489699i | ||||
\(57\) | −511.387 | − | 204.754i | −1.18833 | − | 0.475794i | ||||
\(58\) | 82.1595 | + | 113.689i | 0.186001 | + | 0.257381i | ||||
\(59\) | − | 406.047i | − | 0.895979i | −0.894039 | − | 0.447989i | \(-0.852140\pi\) | ||
0.894039 | − | 0.447989i | \(-0.147860\pi\) | |||||||
\(60\) | −78.6987 | − | 458.046i | −0.169333 | − | 0.985559i | ||||
\(61\) | − | 213.568i | − | 0.448271i | −0.974558 | − | 0.224135i | \(-0.928044\pi\) | ||
0.974558 | − | 0.224135i | \(-0.0719558\pi\) | |||||||
\(62\) | −414.975 | + | 299.890i | −0.850031 | + | 0.614292i | ||||
\(63\) | 587.243 | + | 560.030i | 1.17438 | + | 1.11995i | ||||
\(64\) | 418.754 | − | 294.600i | 0.817878 | − | 0.575391i | ||||
\(65\) | −422.696 | + | 501.268i | −0.806600 | + | 0.956533i | ||||
\(66\) | 507.824 | − | 126.934i | 0.947103 | − | 0.236735i | ||||
\(67\) | 825.615i | 1.50545i | 0.658337 | + | 0.752723i | \(0.271260\pi\) | ||||
−0.658337 | + | 0.752723i | \(0.728740\pi\) | |||||||
\(68\) | 36.1420 | − | 109.341i | 0.0644539 | − | 0.194993i | ||||
\(69\) | −92.1426 | + | 230.133i | −0.160763 | + | 0.401518i | ||||
\(70\) | −947.751 | − | 71.0102i | −1.61826 | − | 0.121248i | ||||
\(71\) | −157.626 | −0.263476 | −0.131738 | − | 0.991285i | \(-0.542056\pi\) | ||||
−0.131738 | + | 0.991285i | \(0.542056\pi\) | |||||||
\(72\) | 548.746 | + | 268.563i | 0.898199 | + | 0.439590i | ||||
\(73\) | 242.743i | 0.389190i | 0.980884 | + | 0.194595i | \(0.0623393\pi\) | ||||
−0.980884 | + | 0.194595i | \(0.937661\pi\) | |||||||
\(74\) | 188.442 | + | 260.758i | 0.296026 | + | 0.409628i | ||||
\(75\) | −136.144 | + | 635.090i | −0.209608 | + | 0.977786i | ||||
\(76\) | −266.169 | + | 805.246i | −0.401733 | + | 1.21537i | ||||
\(77\) | − | 1070.43i | − | 1.58424i | ||||||
\(78\) | −209.017 | − | 836.212i | −0.303416 | − | 1.21388i | ||||
\(79\) | − | 107.503i | − | 0.153101i | −0.997066 | − | 0.0765506i | \(-0.975609\pi\) | ||
0.997066 | − | 0.0765506i | \(-0.0243907\pi\) | |||||||
\(80\) | −696.411 | + | 164.351i | −0.973265 | + | 0.229687i | ||||
\(81\) | 34.5637 | + | 728.180i | 0.0474125 | + | 0.998875i | ||||
\(82\) | 122.917 | − | 88.8281i | 0.165535 | − | 0.119627i | ||||
\(83\) | 1158.62 | 1.53223 | 0.766113 | − | 0.642706i | \(-0.222188\pi\) | ||||
0.766113 | + | 0.642706i | \(0.222188\pi\) | |||||||
\(84\) | 804.925 | − | 955.487i | 1.04553 | − | 1.24110i | ||||
\(85\) | −103.750 | + | 123.035i | −0.132391 | + | 0.157001i | ||||
\(86\) | −1123.56 | + | 811.960i | −1.40879 | + | 1.01809i | ||||
\(87\) | 239.227 | + | 95.7839i | 0.294803 | + | 0.118036i | ||||
\(88\) | −243.191 | − | 768.331i | −0.294593 | − | 0.930732i | ||||
\(89\) | − | 750.147i | − | 0.893431i | −0.894676 | − | 0.446716i | \(-0.852594\pi\) | ||
0.894676 | − | 0.446716i | \(-0.147406\pi\) | |||||||
\(90\) | −572.132 | − | 633.771i | −0.670089 | − | 0.742281i | ||||
\(91\) | −1762.62 | −2.03047 | ||||||||
\(92\) | 362.374 | + | 119.781i | 0.410654 | + | 0.135739i | ||||
\(93\) | −349.621 | + | 873.203i | −0.389828 | + | 0.973623i | ||||
\(94\) | 1012.29 | − | 731.554i | 1.11075 | − | 0.802703i | ||||
\(95\) | 764.070 | − | 906.098i | 0.825179 | − | 0.978565i | ||||
\(96\) | 360.683 | − | 868.702i | 0.383459 | − | 0.923558i | ||||
\(97\) | − | 83.2231i | − | 0.0871136i | −0.999051 | − | 0.0435568i | \(-0.986131\pi\) | ||
0.999051 | − | 0.0435568i | \(-0.0138690\pi\) | |||||||
\(98\) | −928.203 | − | 1284.41i | −0.956762 | − | 1.32393i | ||||
\(99\) | 663.663 | − | 695.911i | 0.673744 | − | 0.706482i | ||||
\(100\) | 988.835 | + | 149.013i | 0.988835 | + | 0.149013i | ||||
\(101\) | −978.565 | −0.964068 | −0.482034 | − | 0.876153i | \(-0.660102\pi\) | ||||
−0.482034 | + | 0.876153i | \(0.660102\pi\) | |||||||
\(102\) | −51.3028 | − | 205.247i | −0.0498013 | − | 0.199240i | ||||
\(103\) | −484.228 | −0.463228 | −0.231614 | − | 0.972808i | \(-0.574401\pi\) | ||||
−0.231614 | + | 0.972808i | \(0.574401\pi\) | |||||||
\(104\) | −1265.18 | + | 400.452i | −1.19289 | + | 0.377573i | ||||
\(105\) | −1541.06 | + | 820.779i | −1.43231 | + | 0.762855i | ||||
\(106\) | 150.565 | − | 108.809i | 0.137964 | − | 0.0997024i | ||||
\(107\) | 912.615 | 0.824541 | 0.412270 | − | 0.911062i | \(-0.364736\pi\) | ||||
0.412270 | + | 0.911062i | \(0.364736\pi\) | |||||||
\(108\) | 1115.70 | − | 122.134i | 0.994062 | − | 0.108818i | ||||
\(109\) | 1290.42i | 1.13395i | 0.823736 | + | 0.566973i | \(0.191886\pi\) | ||||
−0.823736 | + | 0.566973i | \(0.808114\pi\) | |||||||
\(110\) | −84.1505 | + | 1123.13i | −0.0729404 | + | 0.973513i | ||||
\(111\) | 548.694 | + | 219.691i | 0.469187 | + | 0.187857i | ||||
\(112\) | −1544.57 | − | 1146.35i | −1.30311 | − | 0.967139i | ||||
\(113\) | 24.0806 | 0.0200470 | 0.0100235 | − | 0.999950i | \(-0.496809\pi\) | ||||
0.0100235 | + | 0.999950i | \(0.496809\pi\) | |||||||
\(114\) | 377.821 | + | 1511.55i | 0.310405 | + | 1.24184i | ||||
\(115\) | −407.760 | − | 343.845i | −0.330642 | − | 0.278815i | ||||
\(116\) | 124.514 | − | 376.695i | 0.0996625 | − | 0.301511i | ||||
\(117\) | −1145.93 | − | 1092.83i | −0.905479 | − | 0.863519i | ||||
\(118\) | −930.845 | + | 672.694i | −0.726197 | + | 0.524801i | ||||
\(119\) | −432.633 | −0.333273 | ||||||||
\(120\) | −919.674 | + | 939.255i | −0.699619 | + | 0.714516i | ||||
\(121\) | 62.4941 | 0.0469527 | ||||||||
\(122\) | −489.595 | + | 353.816i | −0.363327 | + | 0.262565i | ||||
\(123\) | 103.558 | − | 258.645i | 0.0759150 | − | 0.189603i | ||||
\(124\) | 1374.97 | + | 454.489i | 0.995775 | + | 0.329147i | ||||
\(125\) | −1205.18 | − | 707.585i | −0.862353 | − | 0.506307i | ||||
\(126\) | 310.966 | − | 2274.03i | 0.219865 | − | 1.60783i | ||||
\(127\) | 1018.44 | 0.711593 | 0.355797 | − | 0.934563i | \(-0.384210\pi\) | ||||
0.355797 | + | 0.934563i | \(0.384210\pi\) | |||||||
\(128\) | −1369.11 | − | 471.914i | −0.945414 | − | 0.325873i | ||||
\(129\) | −946.607 | + | 2364.22i | −0.646078 | + | 1.61363i | ||||
\(130\) | 1849.41 | + | 138.567i | 1.24773 | + | 0.0934857i | ||||
\(131\) | − | 422.320i | − | 0.281666i | −0.990033 | − | 0.140833i | \(-0.955022\pi\) | ||
0.990033 | − | 0.140833i | \(-0.0449781\pi\) | |||||||
\(132\) | −1132.30 | − | 953.876i | −0.746621 | − | 0.628971i | ||||
\(133\) | 3186.14 | 2.07724 | ||||||||
\(134\) | 1892.69 | − | 1367.79i | 1.22017 | − | 0.881783i | ||||
\(135\) | −1510.77 | − | 421.848i | −0.963157 | − | 0.268940i | ||||
\(136\) | −310.536 | + | 98.2903i | −0.195796 | + | 0.0619730i | ||||
\(137\) | 2962.29 | 1.84734 | 0.923671 | − | 0.383186i | \(-0.125173\pi\) | ||||
0.923671 | + | 0.383186i | \(0.125173\pi\) | |||||||
\(138\) | 680.222 | − | 170.026i | 0.419597 | − | 0.104881i | ||||
\(139\) | 724.141 | 0.441877 | 0.220938 | − | 0.975288i | \(-0.429088\pi\) | ||||
0.220938 | + | 0.975288i | \(0.429088\pi\) | |||||||
\(140\) | 1407.34 | + | 2290.32i | 0.849588 | + | 1.38263i | ||||
\(141\) | 852.867 | − | 2130.10i | 0.509393 | − | 1.27225i | ||||
\(142\) | 261.138 | + | 361.352i | 0.154325 | + | 0.213549i | ||||
\(143\) | 2088.80i | 1.22150i | ||||||||
\(144\) | −293.433 | − | 1702.90i | −0.169811 | − | 0.985477i | ||||
\(145\) | −357.433 | + | 423.874i | −0.204712 | + | 0.242764i | ||||
\(146\) | 556.478 | − | 402.150i | 0.315441 | − | 0.227960i | ||||
\(147\) | −2702.69 | − | 1082.13i | −1.51642 | − | 0.607158i | ||||
\(148\) | 285.587 | − | 863.990i | 0.158615 | − | 0.479862i | ||||
\(149\) | 1917.06 | 1.05404 | 0.527019 | − | 0.849854i | \(-0.323310\pi\) | ||||
0.527019 | + | 0.849854i | \(0.323310\pi\) | |||||||
\(150\) | 1681.47 | − | 740.044i | 0.915275 | − | 0.402829i | ||||
\(151\) | 2586.17i | 1.39377i | 0.717182 | + | 0.696886i | \(0.245432\pi\) | ||||
−0.717182 | + | 0.696886i | \(0.754568\pi\) | |||||||
\(152\) | 2286.95 | − | 723.862i | 1.22037 | − | 0.386269i | ||||
\(153\) | −281.266 | − | 268.232i | −0.148621 | − | 0.141734i | ||||
\(154\) | −2453.91 | + | 1773.36i | −1.28404 | + | 0.927934i | ||||
\(155\) | −1547.18 | − | 1304.66i | −0.801758 | − | 0.676085i | ||||
\(156\) | −1570.71 | + | 1864.51i | −0.806136 | + | 0.956924i | ||||
\(157\) | −1527.70 | −0.776586 | −0.388293 | − | 0.921536i | \(-0.626935\pi\) | ||||
−0.388293 | + | 0.921536i | \(0.626935\pi\) | |||||||
\(158\) | −246.446 | + | 178.099i | −0.124090 | + | 0.0896758i | ||||
\(159\) | 126.853 | − | 316.823i | 0.0632708 | − | 0.158023i | ||||
\(160\) | 1530.51 | + | 1324.22i | 0.756232 | + | 0.654303i | ||||
\(161\) | − | 1433.82i | − | 0.701868i | ||||||
\(162\) | 1612.06 | − | 1285.61i | 0.781825 | − | 0.623498i | ||||
\(163\) | 2775.55i | 1.33373i | 0.745179 | + | 0.666865i | \(0.232364\pi\) | ||||
−0.745179 | + | 0.666865i | \(0.767636\pi\) | |||||||
\(164\) | −407.270 | − | 134.621i | −0.193917 | − | 0.0640981i | ||||
\(165\) | 972.663 | + | 1826.24i | 0.458919 | + | 0.861650i | ||||
\(166\) | −1919.47 | − | 2656.08i | −0.897470 | − | 1.24188i | ||||
\(167\) | − | 1484.84i | − | 0.688025i | −0.938965 | − | 0.344013i | \(-0.888214\pi\) | ||
0.938965 | − | 0.344013i | \(-0.111786\pi\) | |||||||
\(168\) | −3523.93 | − | 262.312i | −1.61832 | − | 0.120463i | ||||
\(169\) | 1242.53 | 0.565558 | ||||||||
\(170\) | 453.936 | + | 34.0111i | 0.204796 | + | 0.0153443i | ||||
\(171\) | 2071.39 | + | 1975.40i | 0.926336 | + | 0.883409i | ||||
\(172\) | 3722.77 | + | 1230.54i | 1.65034 | + | 0.545510i | ||||
\(173\) | 4487.55i | 1.97215i | 0.166292 | + | 0.986077i | \(0.446821\pi\) | ||||
−0.166292 | + | 0.986077i | \(0.553179\pi\) | |||||||
\(174\) | −176.745 | − | 707.103i | −0.0770058 | − | 0.308077i | ||||
\(175\) | −634.356 | − | 3702.87i | −0.274016 | − | 1.59949i | ||||
\(176\) | −1358.48 | + | 1830.39i | −0.581813 | + | 0.783927i | ||||
\(177\) | −784.246 | + | 1958.71i | −0.333037 | + | 0.831784i | ||||
\(178\) | −1719.68 | + | 1242.76i | −0.724132 | + | 0.523309i | ||||
\(179\) | 2713.96i | 1.13325i | 0.823977 | + | 0.566623i | \(0.191750\pi\) | ||||
−0.823977 | + | 0.566623i | \(0.808250\pi\) | |||||||
\(180\) | −505.048 | + | 2361.55i | −0.209134 | + | 0.977887i | ||||
\(181\) | 913.737i | 0.375235i | 0.982242 | + | 0.187618i | \(0.0600765\pi\) | ||||
−0.982242 | + | 0.187618i | \(0.939923\pi\) | |||||||
\(182\) | 2920.12 | + | 4040.74i | 1.18931 | + | 1.64571i | ||||
\(183\) | −412.489 | + | 1030.22i | −0.166623 | + | 0.416153i | ||||
\(184\) | −325.750 | − | 1029.17i | −0.130514 | − | 0.412344i | ||||
\(185\) | −819.811 | + | 972.200i | −0.325804 | + | 0.386365i | ||||
\(186\) | 2581.00 | − | 645.137i | 1.01746 | − | 0.254321i | ||||
\(187\) | 512.692i | 0.200490i | ||||||||
\(188\) | −3354.12 | − | 1108.68i | −1.30119 | − | 0.430101i | ||||
\(189\) | −1751.12 | − | 3835.72i | −0.673945 | − | 1.47623i | ||||
\(190\) | −3343.02 | − | 250.476i | −1.27646 | − | 0.0956390i | ||||
\(191\) | 3419.83 | 1.29555 | 0.647776 | − | 0.761831i | \(-0.275699\pi\) | ||||
0.647776 | + | 0.761831i | \(0.275699\pi\) | |||||||
\(192\) | −2589.01 | + | 612.322i | −0.973153 | + | 0.230159i | ||||
\(193\) | − | 3786.04i | − | 1.41205i | −0.708189 | − | 0.706023i | \(-0.750487\pi\) | ||
0.708189 | − | 0.706023i | \(-0.249513\pi\) | |||||||
\(194\) | −190.786 | + | 137.875i | −0.0706062 | + | 0.0510250i | ||||
\(195\) | 3007.18 | − | 1601.64i | 1.10435 | − | 0.588185i | ||||
\(196\) | −1406.71 | + | 4255.74i | −0.512649 | + | 1.55092i | ||||
\(197\) | 12.8824i | 0.00465904i | 0.999997 | + | 0.00232952i | \(0.000741510\pi\) | ||||
−0.999997 | + | 0.00232952i | \(0.999258\pi\) | |||||||
\(198\) | −2694.83 | − | 368.510i | −0.967240 | − | 0.132267i | ||||
\(199\) | − | 1630.96i | − | 0.580983i | −0.956878 | − | 0.290491i | \(-0.906181\pi\) | ||
0.956878 | − | 0.290491i | \(-0.0938187\pi\) | |||||||
\(200\) | −1296.59 | − | 2513.73i | −0.458413 | − | 0.888739i | ||||
\(201\) | 1594.61 | − | 3982.65i | 0.559577 | − | 1.39758i | ||||
\(202\) | 1621.18 | + | 2243.32i | 0.564683 | + | 0.781384i | ||||
\(203\) | −1490.48 | −0.515326 | ||||||||
\(204\) | −385.528 | + | 457.641i | −0.132315 | + | 0.157065i | ||||
\(205\) | 458.278 | + | 386.445i | 0.156134 | + | 0.131661i | ||||
\(206\) | 802.217 | + | 1110.07i | 0.271326 | + | 0.375449i | ||||
\(207\) | 888.966 | − | 932.163i | 0.298490 | − | 0.312994i | ||||
\(208\) | 3014.03 | + | 2236.95i | 1.00474 | + | 0.745694i | ||||
\(209\) | − | 3775.73i | − | 1.24963i | ||||||
\(210\) | 4434.67 | + | 2173.05i | 1.45724 | + | 0.714069i | ||||
\(211\) | −2482.49 | −0.809960 | −0.404980 | − | 0.914326i | \(-0.632721\pi\) | ||||
−0.404980 | + | 0.914326i | \(0.632721\pi\) | |||||||
\(212\) | −498.880 | − | 164.902i | −0.161619 | − | 0.0534222i | ||||
\(213\) | 760.367 | + | 304.442i | 0.244598 | + | 0.0979345i | ||||
\(214\) | −1511.92 | − | 2092.13i | −0.482957 | − | 0.668296i | ||||
\(215\) | −4189.03 | − | 3532.41i | −1.32879 | − | 1.12051i | ||||
\(216\) | −2128.36 | − | 2355.37i | −0.670448 | − | 0.741956i | ||||
\(217\) | − | 5440.40i | − | 1.70193i | ||||||
\(218\) | 2958.24 | − | 2137.83i | 0.919072 | − | 0.664185i | ||||
\(219\) | 468.838 | − | 1170.96i | 0.144663 | − | 0.361306i | ||||
\(220\) | 2714.15 | − | 1667.77i | 0.831762 | − | 0.511096i | ||||
\(221\) | 844.228 | 0.256963 | ||||||||
\(222\) | −405.384 | − | 1621.82i | −0.122557 | − | 0.490312i | ||||
\(223\) | 220.601 | 0.0662444 | 0.0331222 | − | 0.999451i | \(-0.489455\pi\) | ||||
0.0331222 | + | 0.999451i | \(0.489455\pi\) | |||||||
\(224\) | −69.0740 | + | 5440.01i | −0.0206036 | + | 1.62266i | ||||
\(225\) | 1883.37 | − | 2800.63i | 0.558035 | − | 0.829818i | ||||
\(226\) | −39.8941 | − | 55.2038i | −0.0117421 | − | 0.0162482i | ||||
\(227\) | −1286.28 | −0.376094 | −0.188047 | − | 0.982160i | \(-0.560216\pi\) | ||||
−0.188047 | + | 0.982160i | \(0.560216\pi\) | |||||||
\(228\) | 2839.23 | − | 3370.31i | 0.824704 | − | 0.978965i | ||||
\(229\) | 3473.66i | 1.00238i | 0.865336 | + | 0.501192i | \(0.167105\pi\) | ||||
−0.865336 | + | 0.501192i | \(0.832895\pi\) | |||||||
\(230\) | −112.718 | + | 1504.42i | −0.0323149 | + | 0.431297i | ||||
\(231\) | −2067.44 | + | 5163.58i | −0.588864 | + | 1.47073i | ||||
\(232\) | −1069.84 | + | 338.623i | −0.302752 | + | 0.0958264i | ||||
\(233\) | 1374.39 | 0.386435 | 0.193218 | − | 0.981156i | \(-0.438108\pi\) | ||||
0.193218 | + | 0.981156i | \(0.438108\pi\) | |||||||
\(234\) | −606.809 | + | 4437.47i | −0.169523 | + | 1.23969i | ||||
\(235\) | 3774.20 | + | 3182.61i | 1.04767 | + | 0.883449i | ||||
\(236\) | 3084.25 | + | 1019.48i | 0.850709 | + | 0.281197i | ||||
\(237\) | −207.633 | + | 518.578i | −0.0569080 | + | 0.142132i | ||||
\(238\) | 716.740 | + | 991.795i | 0.195207 | + | 0.270120i | ||||
\(239\) | −6110.81 | −1.65387 | −0.826936 | − | 0.562296i | \(-0.809918\pi\) | ||||
−0.826936 | + | 0.562296i | \(0.809918\pi\) | |||||||
\(240\) | 3676.82 | + | 552.258i | 0.988907 | + | 0.148534i | ||||
\(241\) | 7359.10 | 1.96698 | 0.983488 | − | 0.180975i | \(-0.0579253\pi\) | ||||
0.983488 | + | 0.180975i | \(0.0579253\pi\) | |||||||
\(242\) | −103.533 | − | 143.265i | −0.0275016 | − | 0.0380555i | ||||
\(243\) | 1239.69 | − | 3579.40i | 0.327268 | − | 0.944931i | ||||
\(244\) | 1622.22 | + | 536.214i | 0.425622 | + | 0.140687i | ||||
\(245\) | 4038.13 | − | 4788.74i | 1.05301 | − | 1.24874i | ||||
\(246\) | −764.497 | + | 191.091i | −0.198140 | + | 0.0495265i | ||||
\(247\) | −6217.34 | −1.60162 | ||||||||
\(248\) | −1236.01 | − | 3905.02i | −0.316478 | − | 0.999874i | ||||
\(249\) | −5589.01 | − | 2237.78i | −1.42245 | − | 0.569531i | ||||
\(250\) | 374.493 | + | 3935.07i | 0.0947401 | + | 0.995502i | ||||
\(251\) | 1602.46i | 0.402973i | 0.979491 | + | 0.201486i | \(0.0645772\pi\) | ||||
−0.979491 | + | 0.201486i | \(0.935423\pi\) | |||||||
\(252\) | −5728.29 | + | 3054.49i | −1.43194 | + | 0.763550i | ||||
\(253\) | −1699.14 | −0.422230 | ||||||||
\(254\) | −1687.25 | − | 2334.74i | −0.416801 | − | 0.576751i | ||||
\(255\) | 738.109 | − | 393.121i | 0.181263 | − | 0.0965419i | ||||
\(256\) | 1186.34 | + | 3920.43i | 0.289634 | + | 0.957137i | ||||
\(257\) | −1317.48 | −0.319775 | −0.159887 | − | 0.987135i | \(-0.551113\pi\) | ||||
−0.159887 | + | 0.987135i | \(0.551113\pi\) | |||||||
\(258\) | 6988.11 | − | 1746.72i | 1.68628 | − | 0.421497i | ||||
\(259\) | −3418.58 | −0.820155 | ||||||||
\(260\) | −2746.25 | − | 4469.27i | −0.655058 | − | 1.06605i | ||||
\(261\) | −969.000 | − | 924.096i | −0.229807 | − | 0.219158i | ||||
\(262\) | −968.151 | + | 699.654i | −0.228292 | + | 0.164980i | ||||
\(263\) | − | 621.813i | − | 0.145789i | −0.997340 | − | 0.0728947i | \(-0.976776\pi\) | ||
0.997340 | − | 0.0728947i | \(-0.0232237\pi\) | |||||||
\(264\) | −310.852 | + | 4176.03i | −0.0724683 | + | 0.973548i | ||||
\(265\) | 561.362 | + | 473.371i | 0.130129 | + | 0.109732i | ||||
\(266\) | −5278.45 | − | 7304.10i | −1.21670 | − | 1.68362i | ||||
\(267\) | −1448.85 | + | 3618.60i | −0.332090 | + | 0.829419i | ||||
\(268\) | −6271.20 | − | 2072.91i | −1.42938 | − | 0.472474i | ||||
\(269\) | −105.003 | −0.0237998 | −0.0118999 | − | 0.999929i | \(-0.503788\pi\) | ||||
−0.0118999 | + | 0.999929i | \(0.503788\pi\) | |||||||
\(270\) | 1535.81 | + | 4162.25i | 0.346171 | + | 0.938171i | ||||
\(271\) | 979.683i | 0.219600i | 0.993954 | + | 0.109800i | \(0.0350210\pi\) | ||||
−0.993954 | + | 0.109800i | \(0.964979\pi\) | |||||||
\(272\) | 739.789 | + | 549.055i | 0.164913 | + | 0.122395i | ||||
\(273\) | 8502.65 | + | 3404.37i | 1.88500 | + | 0.754731i | ||||
\(274\) | −4907.61 | − | 6790.94i | −1.08204 | − | 1.49728i | ||||
\(275\) | −4388.08 | + | 751.743i | −0.962224 | + | 0.164843i | ||||
\(276\) | −1516.70 | − | 1277.70i | −0.330777 | − | 0.278654i | ||||
\(277\) | 7385.36 | 1.60196 | 0.800981 | − | 0.598690i | \(-0.204312\pi\) | ||||
0.800981 | + | 0.598690i | \(0.204312\pi\) | |||||||
\(278\) | −1199.68 | − | 1660.06i | −0.258820 | − | 0.358144i | ||||
\(279\) | 3373.04 | − | 3536.94i | 0.723795 | − | 0.758965i | ||||
\(280\) | 2918.94 | − | 7020.64i | 0.623000 | − | 1.49844i | ||||
\(281\) | 2837.82i | 0.602457i | 0.953552 | + | 0.301229i | \(0.0973967\pi\) | ||||
−0.953552 | + | 0.301229i | \(0.902603\pi\) | |||||||
\(282\) | −6296.10 | + | 1573.75i | −1.32953 | + | 0.332324i | ||||
\(283\) | − | 3418.04i | − | 0.717955i | −0.933346 | − | 0.358977i | \(-0.883126\pi\) | ||
0.933346 | − | 0.358977i | \(-0.116874\pi\) | |||||||
\(284\) | 395.759 | − | 1197.30i | 0.0826901 | − | 0.250164i | ||||
\(285\) | −5435.82 | + | 2895.15i | −1.12979 | + | 0.601733i | ||||
\(286\) | 4788.48 | − | 3460.49i | 0.990030 | − | 0.715465i | ||||
\(287\) | 1611.46i | 0.331433i | ||||||||
\(288\) | −3417.71 | + | 3493.87i | −0.699273 | + | 0.714855i | ||||
\(289\) | −4705.79 | −0.957823 | ||||||||
\(290\) | 1563.87 | + | 117.173i | 0.316667 | + | 0.0237263i | ||||
\(291\) | −160.739 | + | 401.456i | −0.0323803 | + | 0.0808721i | ||||
\(292\) | −1843.82 | − | 609.465i | −0.369526 | − | 0.122145i | ||||
\(293\) | 3323.01i | 0.662569i | 0.943531 | + | 0.331284i | \(0.107482\pi\) | ||||
−0.943531 | + | 0.331284i | \(0.892518\pi\) | |||||||
\(294\) | 1996.79 | + | 7988.56i | 0.396106 | + | 1.58470i | ||||
\(295\) | −3470.53 | − | 2926.54i | −0.684957 | − | 0.577592i | ||||
\(296\) | −2453.79 | + | 776.669i | −0.481837 | + | 0.152510i | ||||
\(297\) | −4545.51 | + | 2075.17i | −0.888072 | + | 0.405432i | ||||
\(298\) | −3175.98 | − | 4394.78i | −0.617381 | − | 0.854305i | ||||
\(299\) | 2797.91i | 0.541161i | ||||||||
\(300\) | −4482.19 | − | 2628.67i | −0.862599 | − | 0.505889i | ||||
\(301\) | − | 14730.0i | − | 2.82068i | ||||||
\(302\) | 5928.69 | − | 4284.49i | 1.12966 | − | 0.816372i | ||||
\(303\) | 4720.46 | + | 1890.02i | 0.894995 | + | 0.358346i | ||||
\(304\) | −5448.20 | − | 4043.53i | −1.02788 | − | 0.762870i | ||||
\(305\) | −1825.39 | − | 1539.27i | −0.342694 | − | 0.288978i | ||||
\(306\) | −148.940 | + | 1089.17i | −0.0278247 | + | 0.203476i | ||||
\(307\) | 455.313i | 0.0846452i | 0.999104 | + | 0.0423226i | \(0.0134757\pi\) | ||||
−0.999104 | + | 0.0423226i | \(0.986524\pi\) | |||||||
\(308\) | 8130.73 | + | 2687.56i | 1.50419 | + | 0.497202i | ||||
\(309\) | 2335.85 | + | 935.248i | 0.430038 | + | 0.172183i | ||||
\(310\) | −427.692 | + | 5708.27i | −0.0783589 | + | 1.04583i | ||||
\(311\) | −1672.37 | −0.304923 | −0.152462 | − | 0.988309i | \(-0.548720\pi\) | ||||
−0.152462 | + | 0.988309i | \(0.548720\pi\) | |||||||
\(312\) | 6876.49 | + | 511.867i | 1.24777 | + | 0.0928807i | ||||
\(313\) | 3116.09i | 0.562721i | 0.959602 | + | 0.281361i | \(0.0907857\pi\) | ||||
−0.959602 | + | 0.281361i | \(0.909214\pi\) | |||||||
\(314\) | 2530.93 | + | 3502.20i | 0.454869 | + | 0.629428i | ||||
\(315\) | 9019.14 | − | 982.882i | 1.61324 | − | 0.175807i | ||||
\(316\) | 816.569 | + | 269.912i | 0.145366 | + | 0.0480498i | ||||
\(317\) | 4710.18i | 0.834543i | 0.908782 | + | 0.417272i | \(0.137014\pi\) | ||||
−0.908782 | + | 0.417272i | \(0.862986\pi\) | |||||||
\(318\) | −936.461 | + | 234.074i | −0.165139 | + | 0.0412775i | ||||
\(319\) | 1766.29i | 0.310010i | ||||||||
\(320\) | 500.137 | − | 5702.44i | 0.0873704 | − | 0.996176i | ||||
\(321\) | −4402.33 | − | 1762.64i | −0.765464 | − | 0.306483i | ||||
\(322\) | −3286.97 | + | 2375.39i | −0.568869 | + | 0.411104i | ||||
\(323\) | −1526.04 | −0.262882 | ||||||||
\(324\) | −5617.89 | − | 1565.74i | −0.963287 | − | 0.268473i | ||||
\(325\) | 1237.86 | + | 7225.67i | 0.211275 | + | 1.23326i | ||||
\(326\) | 6362.84 | − | 4598.23i | 1.08100 | − | 0.781204i | ||||
\(327\) | 2492.35 | − | 6224.82i | 0.421490 | − | 1.05270i | ||||
\(328\) | 366.108 | + | 1156.67i | 0.0616309 | + | 0.194715i | ||||
\(329\) | 13271.3i | 2.22393i | ||||||||
\(330\) | 2575.17 | − | 5255.30i | 0.429571 | − | 0.876651i | ||||
\(331\) | −7743.80 | −1.28592 | −0.642958 | − | 0.765902i | \(-0.722293\pi\) | ||||
−0.642958 | + | 0.765902i | \(0.722293\pi\) | |||||||
\(332\) | −2908.99 | + | 8800.63i | −0.480879 | + | 1.45481i | ||||
\(333\) | −2222.51 | − | 2119.52i | −0.365744 | − | 0.348795i | ||||
\(334\) | −3403.93 | + | 2459.92i | −0.557649 | + | 0.402996i | ||||
\(335\) | 7056.64 | + | 5950.53i | 1.15088 | + | 0.970485i | ||||
\(336\) | 5236.72 | + | 8513.03i | 0.850258 | + | 1.38221i | ||||
\(337\) | 8409.42i | 1.35932i | 0.733528 | + | 0.679659i | \(0.237872\pi\) | ||||
−0.733528 | + | 0.679659i | \(0.762128\pi\) | |||||||
\(338\) | −2058.49 | − | 2848.45i | −0.331264 | − | 0.458389i | ||||
\(339\) | −116.161 | − | 46.5098i | −0.0186107 | − | 0.00745151i | ||||
\(340\) | −674.062 | − | 1096.98i | −0.107518 | − | 0.174976i | ||||
\(341\) | −6447.13 | −1.02385 | ||||||||
\(342\) | 1096.88 | − | 8021.22i | 0.173428 | − | 1.26824i | ||||
\(343\) | 6530.10 | 1.02797 | ||||||||
\(344\) | −3346.52 | − | 10572.9i | −0.524513 | − | 1.65713i | ||||
\(345\) | 1302.87 | + | 2446.21i | 0.203316 | + | 0.381738i | ||||
\(346\) | 10287.5 | − | 7434.50i | 1.59844 | − | 1.15515i | ||||
\(347\) | 4830.70 | 0.747336 | 0.373668 | − | 0.927562i | \(-0.378100\pi\) | ||||
0.373668 | + | 0.927562i | \(0.378100\pi\) | |||||||
\(348\) | −1328.19 | + | 1576.63i | −0.204594 | + | 0.242863i | ||||
\(349\) | 6202.35i | 0.951301i | 0.879634 | + | 0.475650i | \(0.157787\pi\) | ||||
−0.879634 | + | 0.475650i | \(0.842213\pi\) | |||||||
\(350\) | −7437.75 | + | 7588.76i | −1.13590 | + | 1.15896i | ||||
\(351\) | 3417.09 | + | 7484.90i | 0.519632 | + | 1.13822i | ||||
\(352\) | 6446.68 | + | 81.8561i | 0.976163 | + | 0.0123947i | ||||
\(353\) | −7678.75 | −1.15779 | −0.578893 | − | 0.815404i | \(-0.696515\pi\) | ||||
−0.578893 | + | 0.815404i | \(0.696515\pi\) | |||||||
\(354\) | 5789.52 | − | 1447.13i | 0.869236 | − | 0.217271i | ||||
\(355\) | −1136.07 | + | 1347.25i | −0.169850 | + | 0.201422i | ||||
\(356\) | 5697.96 | + | 1883.43i | 0.848291 | + | 0.280397i | ||||
\(357\) | 2086.96 | + | 835.596i | 0.309394 | + | 0.123878i | ||||
\(358\) | 6221.64 | − | 4496.19i | 0.918503 | − | 0.663775i | ||||
\(359\) | 12403.8 | 1.82352 | 0.911762 | − | 0.410719i | \(-0.134722\pi\) | ||||
0.911762 | + | 0.410719i | \(0.134722\pi\) | |||||||
\(360\) | 6250.47 | − | 2754.56i | 0.915080 | − | 0.403272i | ||||
\(361\) | 4379.54 | 0.638509 | ||||||||
\(362\) | 2094.71 | − | 1513.78i | 0.304131 | − | 0.219786i | ||||
\(363\) | −301.463 | − | 120.702i | −0.0435887 | − | 0.0174524i | ||||
\(364\) | 4425.50 | − | 13388.5i | 0.637250 | − | 1.92788i | ||||
\(365\) | 2074.75 | + | 1749.54i | 0.297528 | + | 0.250891i | ||||
\(366\) | 3045.10 | − | 761.144i | 0.434891 | − | 0.108704i | ||||
\(367\) | −1231.21 | −0.175119 | −0.0875597 | − | 0.996159i | \(-0.527907\pi\) | ||||
−0.0875597 | + | 0.996159i | \(0.527907\pi\) | |||||||
\(368\) | −1819.66 | + | 2451.78i | −0.257762 | + | 0.347305i | ||||
\(369\) | −999.102 | + | 1047.65i | −0.140952 | + | 0.147801i | ||||
\(370\) | 3586.90 | + | 268.748i | 0.503985 | + | 0.0377610i | ||||
\(371\) | 1973.93i | 0.276231i | ||||||||
\(372\) | −5754.86 | − | 4848.04i | −0.802086 | − | 0.675696i | ||||
\(373\) | −5114.70 | −0.709998 | −0.354999 | − | 0.934867i | \(-0.615519\pi\) | ||||
−0.354999 | + | 0.934867i | \(0.615519\pi\) | |||||||
\(374\) | 1175.32 | − | 849.372i | 0.162499 | − | 0.117433i | ||||
\(375\) | 4446.95 | + | 5740.99i | 0.612372 | + | 0.790569i | ||||
\(376\) | 3015.13 | + | 9525.93i | 0.413546 | + | 1.30655i | ||||
\(377\) | 2908.48 | 0.397332 | ||||||||
\(378\) | −5892.16 | + | 10369.0i | −0.801746 | + | 1.41091i | ||||
\(379\) | 2973.78 | 0.403041 | 0.201521 | − | 0.979484i | \(-0.435412\pi\) | ||||
0.201521 | + | 0.979484i | \(0.435412\pi\) | |||||||
\(380\) | 4964.15 | + | 8078.71i | 0.670146 | + | 1.09060i | ||||
\(381\) | −4912.83 | − | 1967.04i | −0.660609 | − | 0.264500i | ||||
\(382\) | −5665.61 | − | 7839.83i | −0.758843 | − | 1.05005i | ||||
\(383\) | − | 4239.61i | − | 0.565623i | −0.959175 | − | 0.282812i | \(-0.908733\pi\) | ||
0.959175 | − | 0.282812i | \(-0.0912671\pi\) | |||||||
\(384\) | 5692.91 | + | 4920.76i | 0.756549 | + | 0.653937i | ||||
\(385\) | −9149.06 | − | 7714.98i | −1.21112 | − | 1.02128i | ||||
\(386\) | −8679.34 | + | 6272.30i | −1.14447 | + | 0.827076i | ||||
\(387\) | 9132.60 | − | 9576.37i | 1.19958 | − | 1.25787i | ||||
\(388\) | 632.146 | + | 208.952i | 0.0827122 | + | 0.0273400i | ||||
\(389\) | 1866.70 | 0.243304 | 0.121652 | − | 0.992573i | \(-0.461181\pi\) | ||||
0.121652 | + | 0.992573i | \(0.461181\pi\) | |||||||
\(390\) | −8653.68 | − | 4240.42i | −1.12358 | − | 0.550569i | ||||
\(391\) | 686.742i | 0.0888237i | ||||||||
\(392\) | 12086.6 | − | 3825.62i | 1.55731 | − | 0.492916i | ||||
\(393\) | −815.677 | + | 2037.21i | −0.104696 | + | 0.261485i | ||||
\(394\) | 29.5323 | − | 21.3421i | 0.00377619 | − | 0.00272894i | ||||
\(395\) | −918.839 | − | 774.815i | −0.117043 | − | 0.0986966i | ||||
\(396\) | 3619.71 | + | 6788.30i | 0.459337 | + | 0.861427i | ||||
\(397\) | −7085.75 | −0.895778 | −0.447889 | − | 0.894089i | \(-0.647824\pi\) | ||||
−0.447889 | + | 0.894089i | \(0.647824\pi\) | |||||||
\(398\) | −3738.91 | + | 2701.99i | −0.470890 | + | 0.340298i | ||||
\(399\) | −15369.5 | − | 6153.77i | −1.92841 | − | 0.772115i | ||||
\(400\) | −3614.59 | + | 7136.86i | −0.451823 | + | 0.892107i | ||||
\(401\) | − | 4052.17i | − | 0.504628i | −0.967645 | − | 0.252314i | \(-0.918808\pi\) | ||
0.967645 | − | 0.252314i | \(-0.0811915\pi\) | |||||||
\(402\) | −11771.8 | + | 2942.45i | −1.46051 | + | 0.365064i | ||||
\(403\) | 10616.2i | 1.31224i | ||||||||
\(404\) | 2456.93 | − | 7432.98i | 0.302566 | − | 0.915358i | ||||
\(405\) | 6472.96 | + | 4952.86i | 0.794183 | + | 0.607678i | ||||
\(406\) | 2469.27 | + | 3416.87i | 0.301841 | + | 0.417675i | ||||
\(407\) | 4051.18i | 0.493390i | ||||||||
\(408\) | 1687.82 | + | 125.637i | 0.204803 | + | 0.0152450i | ||||
\(409\) | 3577.29 | 0.432483 | 0.216242 | − | 0.976340i | \(-0.430620\pi\) | ||||
0.216242 | + | 0.976340i | \(0.430620\pi\) | |||||||
\(410\) | 126.683 | − | 1690.80i | 0.0152596 | − | 0.203665i | ||||
\(411\) | −14289.7 | − | 5721.43i | −1.71498 | − | 0.686660i | ||||
\(412\) | 1215.77 | − | 3678.10i | 0.145381 | − | 0.439823i | ||||
\(413\) | − | 12203.5i | − | 1.45399i | ||||||
\(414\) | −3609.69 | − | 493.613i | −0.428518 | − | 0.0585985i | ||||
\(415\) | 8350.62 | − | 9902.85i | 0.987749 | − | 1.17135i | ||||
\(416\) | 134.789 | − | 10615.5i | 0.0158860 | − | 1.25112i | ||||
\(417\) | −3493.16 | − | 1398.62i | −0.410217 | − | 0.164246i | ||||
\(418\) | −8655.71 | + | 6255.22i | −1.01283 | + | 0.731945i | ||||
\(419\) | − | 13722.4i | − | 1.59996i | −0.600028 | − | 0.799979i | \(-0.704844\pi\) | ||
0.600028 | − | 0.799979i | \(-0.295156\pi\) | |||||||
\(420\) | −2365.25 | − | 13766.4i | −0.274792 | − | 1.59936i | ||||
\(421\) | − | 3588.59i | − | 0.415433i | −0.978189 | − | 0.207717i | \(-0.933397\pi\) | ||
0.978189 | − | 0.207717i | \(-0.0666032\pi\) | |||||||
\(422\) | 4112.72 | + | 5691.00i | 0.474417 | + | 0.656478i | ||||
\(423\) | −8228.22 | + | 8628.05i | −0.945792 | + | 0.991749i | ||||
\(424\) | 448.460 | + | 1416.85i | 0.0513659 | + | 0.162284i | ||||
\(425\) | 303.832 | + | 1773.53i | 0.0346777 | + | 0.202421i | ||||
\(426\) | −561.771 | − | 2247.48i | −0.0638918 | − | 0.255612i | ||||
\(427\) | − | 6418.68i | − | 0.727451i | ||||||
\(428\) | −2291.34 | + | 6932.04i | −0.258776 | + | 0.782881i | ||||
\(429\) | 4034.34 | − | 10076.1i | 0.454032 | − | 1.13398i | ||||
\(430\) | −1157.99 | + | 15455.3i | −0.129868 | + | 1.73330i | ||||
\(431\) | 8138.32 | 0.909534 | 0.454767 | − | 0.890610i | \(-0.349723\pi\) | ||||
0.454767 | + | 0.890610i | \(0.349723\pi\) | |||||||
\(432\) | −1873.54 | + | 8781.31i | −0.208659 | + | 0.977988i | ||||
\(433\) | − | 2624.71i | − | 0.291306i | −0.989336 | − | 0.145653i | \(-0.953472\pi\) | ||
0.989336 | − | 0.145653i | \(-0.0465284\pi\) | |||||||
\(434\) | −12471.9 | + | 9013.06i | −1.37942 | + | 0.996868i | ||||
\(435\) | 2542.88 | − | 1354.35i | 0.280280 | − | 0.149279i | ||||
\(436\) | −9801.80 | − | 3239.92i | −1.07665 | − | 0.355881i | ||||
\(437\) | − | 5057.53i | − | 0.553626i | ||||||
\(438\) | −3461.09 | + | 865.122i | −0.377574 | + | 0.0943770i | ||||
\(439\) | 1733.88i | 0.188504i | 0.995548 | + | 0.0942522i | \(0.0300460\pi\) | ||||
−0.995548 | + | 0.0942522i | \(0.969954\pi\) | |||||||
\(440\) | −8319.80 | − | 3459.09i | −0.901434 | − | 0.374785i | ||||
\(441\) | 10947.4 | + | 10440.1i | 1.18209 | + | 1.12731i | ||||
\(442\) | −1398.62 | − | 1935.36i | −0.150511 | − | 0.208271i | ||||
\(443\) | 3608.99 | 0.387061 | 0.193531 | − | 0.981094i | \(-0.438006\pi\) | ||||
0.193531 | + | 0.981094i | \(0.438006\pi\) | |||||||
\(444\) | −3046.36 | + | 3616.18i | −0.325617 | + | 0.386523i | ||||
\(445\) | −6411.60 | − | 5406.61i | −0.683009 | − | 0.575950i | ||||
\(446\) | −365.467 | − | 505.718i | −0.0388013 | − | 0.0536916i | ||||
\(447\) | −9247.63 | − | 3702.65i | −0.978518 | − | 0.391788i | ||||
\(448\) | 12585.4 | − | 8854.08i | 1.32725 | − | 0.933741i | ||||
\(449\) | 1133.13i | 0.119100i | 0.998225 | + | 0.0595499i | \(0.0189665\pi\) | ||||
−0.998225 | + | 0.0595499i | \(0.981033\pi\) | |||||||
\(450\) | −9540.50 | + | 322.246i | −0.999430 | + | 0.0337574i | ||||
\(451\) | 1909.66 | 0.199384 | ||||||||
\(452\) | −60.4603 | + | 182.911i | −0.00629162 | + | 0.0190341i | ||||
\(453\) | 4994.98 | − | 12475.3i | 0.518067 | − | 1.29391i | ||||
\(454\) | 2130.97 | + | 2948.74i | 0.220289 | + | 0.304827i | ||||
\(455\) | −12703.9 | + | 15065.4i | −1.30894 | + | 1.55225i | ||||
\(456\) | −12430.0 | − | 925.257i | −1.27651 | − | 0.0950200i | ||||
\(457\) | 2261.32i | 0.231466i | 0.993280 | + | 0.115733i | \(0.0369217\pi\) | ||||
−0.993280 | + | 0.115733i | \(0.963078\pi\) | |||||||
\(458\) | 7963.22 | − | 5754.78i | 0.812439 | − | 0.587125i | ||||
\(459\) | 838.720 | + | 1837.16i | 0.0852899 | + | 0.186822i | ||||
\(460\) | 3635.56 | − | 2233.95i | 0.368497 | − | 0.226432i | ||||
\(461\) | −9091.77 | −0.918538 | −0.459269 | − | 0.888297i | \(-0.651889\pi\) | ||||
−0.459269 | + | 0.888297i | \(0.651889\pi\) | |||||||
\(462\) | 15262.4 | − | 3814.94i | 1.53695 | − | 0.384171i | ||||
\(463\) | −13361.2 | −1.34114 | −0.670568 | − | 0.741848i | \(-0.733950\pi\) | ||||
−0.670568 | + | 0.741848i | \(0.733950\pi\) | |||||||
\(464\) | 2548.67 | + | 1891.57i | 0.254998 | + | 0.189254i | ||||
\(465\) | 4943.52 | + | 9281.77i | 0.493012 | + | 0.925660i | ||||
\(466\) | −2276.94 | − | 3150.74i | −0.226346 | − | 0.313208i | ||||
\(467\) | 11343.7 | 1.12404 | 0.562019 | − | 0.827124i | \(-0.310025\pi\) | ||||
0.562019 | + | 0.827124i | \(0.310025\pi\) | |||||||
\(468\) | 11178.0 | − | 5960.43i | 1.10407 | − | 0.588720i | ||||
\(469\) | 24813.5i | 2.44303i | ||||||||
\(470\) | 1043.31 | − | 13924.8i | 0.102393 | − | 1.36660i | ||||
\(471\) | 7369.42 | + | 2950.63i | 0.720945 | + | 0.288658i | ||||
\(472\) | −2772.53 | − | 8759.48i | −0.270373 | − | 0.854211i | ||||
\(473\) | −17455.8 | −1.69687 | ||||||||
\(474\) | 1532.80 | − | 383.134i | 0.148532 | − | 0.0371264i | ||||
\(475\) | −2237.58 | − | 13061.2i | −0.216141 | − | 1.26166i | ||||
\(476\) | 1086.23 | − | 3286.20i | 0.104595 | − | 0.316434i | ||||
\(477\) | −1223.84 | + | 1283.31i | −0.117475 | + | 0.123184i | ||||
\(478\) | 10123.7 | + | 14008.8i | 0.968721 | + | 1.34048i | ||||
\(479\) | −3825.30 | −0.364890 | −0.182445 | − | 0.983216i | \(-0.558401\pi\) | ||||
−0.182445 | + | 0.983216i | \(0.558401\pi\) | |||||||
\(480\) | −4825.33 | − | 9343.89i | −0.458844 | − | 0.888517i | ||||
\(481\) | 6670.91 | 0.632364 | ||||||||
\(482\) | −12191.8 | − | 16870.4i | −1.15211 | − | 1.59425i | ||||
\(483\) | −2769.30 | + | 6916.54i | −0.260885 | + | 0.651580i | ||||
\(484\) | −156.907 | + | 474.692i | −0.0147358 | + | 0.0445804i | ||||
\(485\) | −711.318 | − | 599.822i | −0.0665965 | − | 0.0561577i | ||||
\(486\) | −10259.4 | + | 3088.01i | −0.957564 | + | 0.288221i | ||||
\(487\) | 11327.9 | 1.05403 | 0.527017 | − | 0.849855i | \(-0.323311\pi\) | ||||
0.527017 | + | 0.849855i | \(0.323311\pi\) | |||||||
\(488\) | −1458.26 | − | 4607.21i | −0.135272 | − | 0.427374i | ||||
\(489\) | 5360.75 | − | 13388.9i | 0.495750 | − | 1.23817i | ||||
\(490\) | −17667.9 | − | 1323.77i | −1.62889 | − | 0.122044i | ||||
\(491\) | 17714.2i | 1.62817i | 0.580747 | + | 0.814084i | \(0.302761\pi\) | ||||
−0.580747 | + | 0.814084i | \(0.697239\pi\) | |||||||
\(492\) | 1704.60 | + | 1436.00i | 0.156198 | + | 0.131585i | ||||
\(493\) | 713.881 | 0.0652162 | ||||||||
\(494\) | 10300.2 | + | 14253.0i | 0.938114 | + | 1.29812i | ||||
\(495\) | −1164.76 | − | 10688.1i | −0.105762 | − | 0.970496i | ||||
\(496\) | −6904.41 | + | 9302.91i | −0.625034 | + | 0.842163i | ||||
\(497\) | −4737.38 | −0.427567 | ||||||||
\(498\) | 4129.25 | + | 16519.9i | 0.371559 | + | 1.48649i | ||||
\(499\) | 16471.4 | 1.47768 | 0.738839 | − | 0.673882i | \(-0.235374\pi\) | ||||
0.738839 | + | 0.673882i | \(0.235374\pi\) | |||||||
\(500\) | 8400.56 | − | 7377.70i | 0.751369 | − | 0.659882i | ||||
\(501\) | −2867.84 | + | 7162.65i | −0.255740 | + | 0.638730i | ||||
\(502\) | 3673.57 | − | 2654.78i | 0.326612 | − | 0.236033i | ||||
\(503\) | − | 14790.4i | − | 1.31108i | −0.755162 | − | 0.655538i | \(-0.772442\pi\) | ||
0.755162 | − | 0.655538i | \(-0.227558\pi\) | |||||||
\(504\) | 16492.3 | + | 8071.54i | 1.45759 | + | 0.713363i | ||||
\(505\) | −7052.91 | + | 8363.92i | −0.621486 | + | 0.737009i | ||||
\(506\) | 2814.96 | + | 3895.22i | 0.247313 | + | 0.342221i | ||||
\(507\) | −5993.79 | − | 2399.85i | −0.525037 | − | 0.210219i | ||||
\(508\) | −2557.05 | + | 7735.90i | −0.223329 | + | 0.675640i | ||||
\(509\) | −14027.9 | −1.22157 | −0.610783 | − | 0.791798i | \(-0.709145\pi\) | ||||
−0.610783 | + | 0.791798i | \(0.709145\pi\) | |||||||
\(510\) | −2124.03 | − | 1040.80i | −0.184419 | − | 0.0903679i | ||||
\(511\) | 7295.52i | 0.631575i | ||||||||
\(512\) | 7022.04 | − | 9214.59i | 0.606119 | − | 0.795374i | ||||
\(513\) | −6176.77 | − | 13529.8i | −0.531601 | − | 1.16444i | ||||
\(514\) | 2182.66 | + | 3020.27i | 0.187301 | + | 0.259180i | ||||
\(515\) | −3490.03 | + | 4138.76i | −0.298619 | + | 0.354128i | ||||
\(516\) | −15581.4 | − | 13126.2i | −1.32933 | − | 1.11986i | ||||
\(517\) | 15727.2 | 1.33787 | ||||||||
\(518\) | 5663.53 | + | 7836.95i | 0.480388 | + | 0.664741i | ||||
\(519\) | 8667.35 | − | 21647.3i | 0.733053 | − | 1.83085i | ||||
\(520\) | −5695.93 | + | 13699.9i | −0.480352 | + | 1.15534i | ||||
\(521\) | − | 13903.0i | − | 1.16910i | −0.811356 | − | 0.584552i | \(-0.801270\pi\) | ||
0.811356 | − | 0.584552i | \(-0.198730\pi\) | |||||||
\(522\) | −513.120 | + | 3752.34i | −0.0430242 | + | 0.314627i | ||||
\(523\) | − | 11850.7i | − | 0.990813i | −0.868661 | − | 0.495407i | \(-0.835019\pi\) | ||
0.868661 | − | 0.495407i | \(-0.164981\pi\) | |||||||
\(524\) | 3207.86 | + | 1060.34i | 0.267435 | + | 0.0883990i | ||||
\(525\) | −4091.75 | + | 19087.3i | −0.340150 | + | 1.58674i | ||||
\(526\) | −1425.48 | + | 1030.15i | −0.118163 | + | 0.0853931i | ||||
\(527\) | 2605.74i | 0.215384i | ||||||||
\(528\) | 10088.4 | − | 6205.77i | 0.831514 | − | 0.511499i | ||||
\(529\) | 9891.02 | 0.812938 | ||||||||
\(530\) | 155.179 | − | 2071.13i | 0.0127180 | − | 0.169744i | ||||
\(531\) | 7566.19 | − | 7933.84i | 0.618351 | − | 0.648398i | ||||
\(532\) | −7999.59 | + | 24201.3i | −0.651929 | + | 1.97229i | ||||
\(533\) | − | 3144.55i | − | 0.255545i | ||||||
\(534\) | 10695.8 | − | 2673.48i | 0.866765 | − | 0.216653i | ||||
\(535\) | 6577.58 | − | 7800.24i | 0.531540 | − | 0.630344i | ||||
\(536\) | 5637.39 | + | 17810.6i | 0.454288 | + | 1.43527i | ||||
\(537\) | 5241.79 | − | 13091.8i | 0.421229 | − | 1.05205i | ||||
\(538\) | 173.958 | + | 240.715i | 0.0139402 | + | 0.0192899i | ||||
\(539\) | − | 19954.8i | − | 1.59465i | ||||||
\(540\) | 6997.43 | − | 10416.3i | 0.557632 | − | 0.830088i | ||||
\(541\) | − | 19263.3i | − | 1.53086i | −0.643519 | − | 0.765430i | \(-0.722526\pi\) | ||
0.643519 | − | 0.765430i | \(-0.277474\pi\) | |||||||
\(542\) | 2245.88 | − | 1623.03i | 0.177987 | − | 0.128626i | ||||
\(543\) | 1764.81 | − | 4407.74i | 0.139476 | − | 0.348350i | ||||
\(544\) | 33.0837 | − | 2605.55i | 0.00260745 | − | 0.205353i | ||||
\(545\) | 11029.4 | + | 9300.60i | 0.866878 | + | 0.730998i | ||||
\(546\) | −6281.90 | − | 25132.0i | −0.492382 | − | 1.96987i | ||||
\(547\) | 5317.24i | 0.415629i | 0.978168 | + | 0.207814i | \(0.0666350\pi\) | ||||
−0.978168 | + | 0.207814i | \(0.933365\pi\) | |||||||
\(548\) | −7437.56 | + | 22501.0i | −0.579776 | + | 1.75400i | ||||
\(549\) | 3979.57 | − | 4172.95i | 0.309370 | − | 0.324403i | ||||
\(550\) | 8993.04 | + | 8814.10i | 0.697209 | + | 0.683336i | ||||
\(551\) | −5257.40 | −0.406484 | ||||||||
\(552\) | −416.382 | + | 5593.72i | −0.0321058 | + | 0.431313i | ||||
\(553\) | − | 3230.94i | − | 0.248452i | ||||||
\(554\) | −12235.3 | − | 16930.6i | −0.938315 | − | 1.29840i | ||||
\(555\) | 5832.38 | − | 3106.36i | 0.446073 | − | 0.237581i | ||||
\(556\) | −1818.13 | + | 5500.43i | −0.138680 | + | 0.419551i | ||||
\(557\) | 10227.8i | 0.778039i | 0.921230 | + | 0.389019i | \(0.127186\pi\) | ||||
−0.921230 | + | 0.389019i | \(0.872814\pi\) | |||||||
\(558\) | −13696.4 | − | 1872.94i | −1.03909 | − | 0.142093i | ||||
\(559\) | 28743.7i | 2.17483i | ||||||||
\(560\) | −20930.3 | + | 4939.48i | −1.57941 | + | 0.372734i | ||||
\(561\) | 990.222 | − | 2473.15i | 0.0745227 | − | 0.186126i | ||||
\(562\) | 6505.60 | − | 4701.40i | 0.488296 | − | 0.352877i | ||||
\(563\) | 6371.34 | 0.476945 | 0.238472 | − | 0.971149i | \(-0.423353\pi\) | ||||
0.238472 | + | 0.971149i | \(0.423353\pi\) | |||||||
\(564\) | 14038.5 | + | 11826.3i | 1.04810 | + | 0.882941i | ||||
\(565\) | 173.559 | − | 205.820i | 0.0129233 | − | 0.0153255i | ||||
\(566\) | −7835.71 | + | 5662.63i | −0.581907 | + | 0.420527i | ||||
\(567\) | 1038.80 | + | 21885.1i | 0.0769407 | + | 1.62097i | ||||
\(568\) | −3400.41 | + | 1076.29i | −0.251193 | + | 0.0795073i | ||||
\(569\) | − | 3929.11i | − | 0.289485i | −0.989469 | − | 0.144742i | \(-0.953765\pi\) | ||
0.989469 | − | 0.144742i | \(-0.0462353\pi\) | |||||||
\(570\) | 15642.5 | + | 7665.04i | 1.14946 | + | 0.563251i | ||||
\(571\) | −4292.81 | −0.314621 | −0.157310 | − | 0.987549i | \(-0.550282\pi\) | ||||
−0.157310 | + | 0.987549i | \(0.550282\pi\) | |||||||
\(572\) | −15866.1 | − | 5244.43i | −1.15978 | − | 0.383358i | ||||
\(573\) | −16496.8 | − | 6605.14i | −1.20273 | − | 0.481559i | ||||
\(574\) | 3694.20 | − | 2669.69i | 0.268629 | − | 0.194130i | ||||
\(575\) | −5877.77 | + | 1006.95i | −0.426296 | + | 0.0730307i | ||||
\(576\) | 13671.6 | + | 2046.70i | 0.988979 | + | 0.148054i | ||||
\(577\) | 1957.65i | 0.141244i | 0.997503 | + | 0.0706221i | \(0.0224985\pi\) | ||||
−0.997503 | + | 0.0706221i | \(0.977502\pi\) | |||||||
\(578\) | 7796.04 | + | 10787.8i | 0.561025 | + | 0.776322i | ||||
\(579\) | −7312.42 | + | 18263.3i | −0.524860 | + | 1.31088i | ||||
\(580\) | −2322.24 | − | 3779.23i | −0.166251 | − | 0.270558i | ||||
\(581\) | 34821.7 | 2.48649 | ||||||||
\(582\) | 1186.62 | − | 296.603i | 0.0845135 | − | 0.0211247i | ||||
\(583\) | 2339.21 | 0.166175 | ||||||||
\(584\) | 1657.48 | + | 5236.59i | 0.117443 | + | 0.371047i | ||||
\(585\) | −17599.7 | + | 1917.97i | −1.24386 | + | 0.135552i | ||||
\(586\) | 7617.88 | − | 5505.21i | 0.537016 | − | 0.388086i | ||||
\(587\) | −17909.4 | −1.25928 | −0.629642 | − | 0.776886i | \(-0.716798\pi\) | ||||
−0.629642 | + | 0.776886i | \(0.716798\pi\) | |||||||
\(588\) | 15005.4 | − | 17812.1i | 1.05240 | − | 1.24925i | ||||
\(589\) | − | 19190.0i | − | 1.34246i | ||||||
\(590\) | −959.371 | + | 12804.4i | −0.0669435 | + | 0.893475i | ||||
\(591\) | 24.8813 | − | 62.1428i | 0.00173177 | − | 0.00432523i | ||||
\(592\) | 5845.66 | + | 4338.52i | 0.405836 | + | 0.301203i | ||||
\(593\) | 20213.4 | 1.39977 | 0.699887 | − | 0.714253i | \(-0.253233\pi\) | ||||
0.699887 | + | 0.714253i | \(0.253233\pi\) | |||||||
\(594\) | 12287.8 | + | 6982.49i | 0.848775 | + | 0.482315i | ||||
\(595\) | −3118.16 | + | 3697.77i | −0.214844 | + | 0.254780i | ||||
\(596\) | −4813.25 | + | 14561.6i | −0.330803 | + | 1.00078i | ||||
\(597\) | −3150.06 | + | 7867.51i | −0.215952 | + | 0.539356i | ||||
\(598\) | 6414.09 | − | 4635.27i | 0.438615 | − | 0.316974i | ||||
\(599\) | 8469.13 | 0.577695 | 0.288848 | − | 0.957375i | \(-0.406728\pi\) | ||||
0.288848 | + | 0.957375i | \(0.406728\pi\) | |||||||
\(600\) | 1399.48 | + | 14630.2i | 0.0952228 | + | 0.995456i | ||||
\(601\) | −16288.3 | −1.10551 | −0.552756 | − | 0.833343i | \(-0.686424\pi\) | ||||
−0.552756 | + | 0.833343i | \(0.686424\pi\) | |||||||
\(602\) | −33768.0 | + | 24403.1i | −2.28618 | + | 1.65215i | ||||
\(603\) | −15384.3 | + | 16131.9i | −1.03897 | + | 1.08945i | ||||
\(604\) | −19644.0 | − | 6493.21i | −1.32335 | − | 0.437426i | ||||
\(605\) | 450.420 | − | 534.145i | 0.0302680 | − | 0.0358943i | ||||
\(606\) | −3487.55 | − | 13952.6i | −0.233782 | − | 0.935293i | ||||
\(607\) | 6769.57 | 0.452666 | 0.226333 | − | 0.974050i | \(-0.427326\pi\) | ||||
0.226333 | + | 0.974050i | \(0.427326\pi\) | |||||||
\(608\) | −243.646 | + | 19188.7i | −0.0162519 | + | 1.27994i | ||||
\(609\) | 7189.87 | + | 2878.74i | 0.478404 | + | 0.191548i | ||||
\(610\) | −504.599 | + | 6734.72i | −0.0334928 | + | 0.447018i | ||||
\(611\) | − | 25897.3i | − | 1.71472i | ||||||
\(612\) | 2743.63 | − | 1462.98i | 0.181217 | − | 0.0966298i | ||||
\(613\) | 8543.04 | 0.562887 | 0.281444 | − | 0.959578i | \(-0.409187\pi\) | ||||
0.281444 | + | 0.959578i | \(0.409187\pi\) | |||||||
\(614\) | 1043.79 | − | 754.313i | 0.0686055 | − | 0.0495791i | ||||
\(615\) | −1464.28 | − | 2749.28i | −0.0960090 | − | 0.180263i | ||||
\(616\) | −7308.99 | − | 23091.8i | −0.478064 | − | 1.51038i | ||||
\(617\) | 9253.24 | 0.603763 | 0.301881 | − | 0.953346i | \(-0.402385\pi\) | ||||
0.301881 | + | 0.953346i | \(0.402385\pi\) | |||||||
\(618\) | −1725.76 | − | 6904.26i | −0.112331 | − | 0.449401i | ||||
\(619\) | 16231.5 | 1.05396 | 0.526980 | − | 0.849878i | \(-0.323324\pi\) | ||||
0.526980 | + | 0.849878i | \(0.323324\pi\) | |||||||
\(620\) | 13794.5 | − | 8476.38i | 0.893552 | − | 0.549064i | ||||
\(621\) | −6088.64 | + | 2779.65i | −0.393444 | + | 0.179619i | ||||
\(622\) | 2770.59 | + | 3833.83i | 0.178602 | + | 0.247143i | ||||
\(623\) | − | 22545.3i | − | 1.44985i | ||||||
\(624\) | −10218.8 | − | 16612.1i | −0.655575 | − | 1.06573i | ||||
\(625\) | −14734.0 | + | 5200.94i | −0.942976 | + | 0.332860i | ||||
\(626\) | 7143.51 | − | 5162.40i | 0.456090 | − | 0.329602i | ||||
\(627\) | −7292.52 | + | 18213.6i | −0.464490 | + | 1.16010i | ||||
\(628\) | 3835.67 | − | 11604.1i | 0.243726 | − | 0.737349i | ||||
\(629\) | 1637.36 | 0.103793 | ||||||||
\(630\) | −17195.2 | − | 19047.7i | −1.08741 | − | 1.20457i | ||||
\(631\) | 12901.7i | 0.813960i | 0.913437 | + | 0.406980i | \(0.133418\pi\) | ||||
−0.913437 | + | 0.406980i | \(0.866582\pi\) | |||||||
\(632\) | −734.041 | − | 2319.11i | −0.0462003 | − | 0.145964i | ||||
\(633\) | 11975.2 | + | 4794.72i | 0.751928 | + | 0.301064i | ||||
\(634\) | 10797.9 | − | 7803.32i | 0.676403 | − | 0.488816i | ||||
\(635\) | 7340.33 | − | 8704.78i | 0.458728 | − | 0.543998i | ||||
\(636\) | 2088.03 | + | 1759.01i | 0.130182 | + | 0.109669i | ||||
\(637\) | −32858.7 | −2.04382 | ||||||||
\(638\) | 4049.15 | − | 2926.20i | 0.251266 | − | 0.181582i | ||||
\(639\) | −3079.90 | − | 2937.17i | −0.190671 | − | 0.181835i | ||||
\(640\) | −13901.2 | + | 8300.65i | −0.858583 | + | 0.512675i | ||||
\(641\) | 13164.5i | 0.811182i | 0.914055 | + | 0.405591i | \(0.132934\pi\) | ||||
−0.914055 | + | 0.405591i | \(0.867066\pi\) | |||||||
\(642\) | 3252.51 | + | 13012.3i | 0.199948 | + | 0.799930i | ||||
\(643\) | − | 22712.5i | − | 1.39299i | −0.717561 | − | 0.696496i | \(-0.754741\pi\) | ||
0.717561 | − | 0.696496i | \(-0.245259\pi\) | |||||||
\(644\) | 10891.0 | + | 3599.95i | 0.666406 | + | 0.220276i | ||||
\(645\) | 13384.7 | + | 25130.6i | 0.817089 | + | 1.53414i | ||||
\(646\) | 2528.17 | + | 3498.38i | 0.153978 | + | 0.213068i | ||||
\(647\) | 2451.48i | 0.148961i | 0.997222 | + | 0.0744803i | \(0.0237298\pi\) | ||||
−0.997222 | + | 0.0744803i | \(0.976270\pi\) | |||||||
\(648\) | 5717.73 | + | 15472.7i | 0.346626 | + | 0.938003i | ||||
\(649\) | −14461.8 | −0.874692 | ||||||||
\(650\) | 14513.8 | − | 14808.5i | 0.875813 | − | 0.893594i | ||||
\(651\) | −10507.7 | + | 26243.7i | −0.632609 | + | 1.57999i | ||||
\(652\) | −21082.5 | − | 6968.70i | −1.26634 | − | 0.418582i | ||||
\(653\) | 26329.5i | 1.57787i | 0.614474 | + | 0.788937i | \(0.289368\pi\) | ||||
−0.614474 | + | 0.788937i | \(0.710632\pi\) | |||||||
\(654\) | −18399.2 | + | 4599.00i | −1.10010 | + | 0.274977i | ||||
\(655\) | −3609.62 | − | 3043.83i | −0.215328 | − | 0.181576i | ||||
\(656\) | 2045.10 | − | 2755.54i | 0.121719 | − | 0.164003i | ||||
\(657\) | −4523.22 | + | 4743.01i | −0.268596 | + | 0.281647i | ||||
\(658\) | 30424.0 | − | 21986.5i | 1.80251 | − | 1.30262i | ||||
\(659\) | 29804.9i | 1.76181i | 0.473292 | + | 0.880906i | \(0.343066\pi\) | ||||
−0.473292 | + | 0.880906i | \(0.656934\pi\) | |||||||
\(660\) | −16313.8 | + | 2802.94i | −0.962143 | + | 0.165310i | ||||
\(661\) | 8483.43i | 0.499194i | 0.968350 | + | 0.249597i | \(0.0802981\pi\) | ||||
−0.968350 | + | 0.249597i | \(0.919702\pi\) | |||||||
\(662\) | 12829.1 | + | 17752.4i | 0.753198 | + | 1.04224i | ||||
\(663\) | −4072.43 | − | 1630.56i | −0.238552 | − | 0.0955137i | ||||
\(664\) | 24994.4 | − | 7911.17i | 1.46080 | − | 0.462369i | ||||
\(665\) | 22963.8 | − | 27232.4i | 1.33909 | − | 1.58801i | ||||
\(666\) | −1176.90 | + | 8606.39i | −0.0684742 | + | 0.500737i | ||||
\(667\) | 2365.92i | 0.137345i | ||||||||
\(668\) | 11278.5 | + | 3728.05i | 0.653262 | + | 0.215932i | ||||
\(669\) | −1064.15 | − | 426.072i | −0.0614981 | − | 0.0246232i | ||||
\(670\) | 1950.69 | − | 26035.3i | 0.112480 | − | 1.50124i | ||||
\(671\) | −7606.44 | −0.437621 | ||||||||
\(672\) | 10840.2 | − | 26108.5i | 0.622274 | − | 1.49874i | ||||
\(673\) | 32692.9i | 1.87254i | 0.351285 | + | 0.936268i | \(0.385745\pi\) | ||||
−0.351285 | + | 0.936268i | \(0.614255\pi\) | |||||||
\(674\) | 19278.3 | − | 13931.8i | 1.10174 | − | 0.796193i | ||||
\(675\) | −14494.3 | + | 9872.30i | −0.826497 | + | 0.562941i | ||||
\(676\) | −3119.68 | + | 9438.01i | −0.177496 | + | 0.536983i | ||||
\(677\) | − | 16192.2i | − | 0.919226i | −0.888119 | − | 0.459613i | \(-0.847988\pi\) | ||
0.888119 | − | 0.459613i | \(-0.152012\pi\) | |||||||
\(678\) | 85.8220 | + | 343.348i | 0.00486132 | + | 0.0194487i | ||||
\(679\) | − | 2501.23i | − | 0.141367i | ||||||
\(680\) | −1398.06 | + | 3362.61i | −0.0788428 | + | 0.189633i | ||||
\(681\) | 6204.82 | + | 2484.34i | 0.349147 | + | 0.139795i | ||||
\(682\) | 10680.9 | + | 14779.8i | 0.599697 | + | 0.829835i | ||||
\(683\) | 14545.0 | 0.814862 | 0.407431 | − | 0.913236i | \(-0.366425\pi\) | ||||
0.407431 | + | 0.913236i | \(0.366425\pi\) | |||||||
\(684\) | −20205.5 | + | 10774.1i | −1.12950 | + | 0.602281i | ||||
\(685\) | 21350.4 | − | 25319.1i | 1.19089 | − | 1.41225i | ||||
\(686\) | −10818.4 | − | 14970.0i | −0.602110 | − | 0.833174i | ||||
\(687\) | 6709.09 | − | 16756.4i | 0.372588 | − | 0.930565i | ||||
\(688\) | −18693.9 | + | 25187.9i | −1.03590 | + | 1.39575i | ||||
\(689\) | − | 3851.88i | − | 0.212982i | ||||||
\(690\) | 3449.40 | − | 7039.39i | 0.190314 | − | 0.388384i | ||||
\(691\) | 8218.62 | 0.452462 | 0.226231 | − | 0.974074i | \(-0.427360\pi\) | ||||
0.226231 | + | 0.974074i | \(0.427360\pi\) | |||||||
\(692\) | −34086.6 | − | 11267.1i | −1.87251 | − | 0.618947i | ||||
\(693\) | 19946.1 | − | 20915.3i | 1.09335 | − | 1.14647i | ||||
\(694\) | −8002.98 | − | 11074.2i | −0.437736 | − | 0.605721i | ||||
\(695\) | 5219.17 | − | 6189.33i | 0.284856 | − | 0.337805i | ||||
\(696\) | 5814.78 | + | 432.836i | 0.316679 | + | 0.0235727i | ||||
\(697\) | − | 771.825i | − | 0.0419440i | ||||||
\(698\) | 14218.6 | − | 10275.4i | 0.771036 | − | 0.557205i | ||||
\(699\) | −6629.87 | − | 2654.53i | −0.358748 | − | 0.143639i | ||||
\(700\) | 29719.0 | + | 4478.53i | 1.60467 | + | 0.241818i | ||||
\(701\) | −22746.0 | −1.22554 | −0.612770 | − | 0.790261i | \(-0.709945\pi\) | ||||
−0.612770 | + | 0.790261i | \(0.709945\pi\) | |||||||
\(702\) | 11497.8 | − | 20233.7i | 0.618170 | − | 1.08785i | ||||
\(703\) | −12058.4 | −0.646930 | ||||||||
\(704\) | −10492.5 | − | 14914.4i | −0.561721 | − | 0.798447i | ||||
\(705\) | −12059.3 | − | 22642.0i | −0.644224 | − | 1.20957i | ||||
\(706\) | 12721.3 | + | 17603.2i | 0.678149 | + | 0.938393i | ||||
\(707\) | −29410.3 | −1.56448 | ||||||||
\(708\) | −12908.9 | − | 10874.8i | −0.685237 | − | 0.577260i | ||||
\(709\) | 16822.0i | 0.891062i | 0.895266 | + | 0.445531i | \(0.146985\pi\) | ||||
−0.895266 | + | 0.445531i | \(0.853015\pi\) | |||||||
\(710\) | 4970.65 | + | 372.425i | 0.262739 | + | 0.0196857i | ||||
\(711\) | 2003.18 | − | 2100.52i | 0.105661 | − | 0.110796i | ||||
\(712\) | −5122.09 | − | 16182.6i | −0.269604 | − | 0.851782i | ||||
\(713\) | −8635.84 | −0.453597 | ||||||||
\(714\) | −1541.88 | − | 6168.60i | −0.0808172 | − | 0.323325i | ||||
\(715\) | 17853.2 | + | 15054.8i | 0.933807 | + | 0.787436i | ||||
\(716\) | −20614.7 | − | 6814.06i | −1.07599 | − | 0.355661i | ||||
\(717\) | 29477.7 | + | 11802.5i | 1.53538 | + | 0.614747i | ||||
\(718\) | −20549.2 | − | 28435.1i | −1.06809 | − | 1.47798i | ||||
\(719\) | −24046.5 | −1.24726 | −0.623631 | − | 0.781719i | \(-0.714343\pi\) | ||||
−0.623631 | + | 0.781719i | \(0.714343\pi\) | |||||||
\(720\) | −16669.8 | − | 9765.50i | −0.862844 | − | 0.505470i | ||||
\(721\) | −14553.3 | −0.751722 | ||||||||
\(722\) | −7255.54 | − | 10039.9i | −0.373994 | − | 0.517516i | ||||
\(723\) | −35499.2 | − | 14213.5i | −1.82605 | − | 0.731128i | ||||
\(724\) | −6940.56 | − | 2294.16i | −0.356276 | − | 0.117765i | ||||
\(725\) | 1046.74 | + | 6110.05i | 0.0536207 | + | 0.312995i | ||||
\(726\) | 222.726 | + | 891.057i | 0.0113858 | + | 0.0455513i | ||||
\(727\) | 2465.88 | 0.125797 | 0.0628986 | − | 0.998020i | \(-0.479966\pi\) | ||||
0.0628986 | + | 0.998020i | \(0.479966\pi\) | |||||||
\(728\) | −38024.4 | + | 12035.4i | −1.93582 | + | 0.612722i | ||||
\(729\) | −12893.4 | + | 14872.1i | −0.655053 | + | 0.755583i | ||||
\(730\) | 573.531 | − | 7654.74i | 0.0290785 | − | 0.388102i | ||||
\(731\) | 7055.10i | 0.356966i | ||||||||
\(732\) | −6789.69 | − | 5719.80i | −0.342834 | − | 0.288811i | ||||
\(733\) | −31105.2 | −1.56739 | −0.783696 | − | 0.621145i | \(-0.786668\pi\) | ||||
−0.783696 | + | 0.621145i | \(0.786668\pi\) | |||||||
\(734\) | 2039.74 | + | 2822.51i | 0.102573 | + | 0.141936i | ||||
\(735\) | −28728.4 | + | 15300.9i | −1.44172 | + | 0.767868i | ||||
\(736\) | 8635.23 | + | 109.645i | 0.432471 | + | 0.00549126i | ||||
\(737\) | 29405.2 | 1.46968 | ||||||||
\(738\) | 4056.90 | + | 554.768i | 0.202353 | + | 0.0276711i | ||||
\(739\) | −12767.8 | −0.635548 | −0.317774 | − | 0.948167i | \(-0.602935\pi\) | ||||
−0.317774 | + | 0.948167i | \(0.602935\pi\) | |||||||
\(740\) | −5326.30 | − | 8668.07i | −0.264593 | − | 0.430601i | ||||
\(741\) | 29991.6 | + | 12008.3i | 1.48687 | + | 0.595324i | ||||
\(742\) | 4525.17 | − | 3270.20i | 0.223887 | − | 0.161796i | ||||
\(743\) | − | 26197.5i | − | 1.29353i | −0.762690 | − | 0.646764i | \(-0.776122\pi\) | ||
0.762690 | − | 0.646764i | \(-0.223878\pi\) | |||||||
\(744\) | −1579.89 | + | 21224.5i | −0.0778518 | + | 1.04587i | ||||
\(745\) | 13817.0 | − | 16385.4i | 0.679485 | − | 0.805789i | ||||
\(746\) | 8473.48 | + | 11725.2i | 0.415866 | + | 0.575458i | ||||
\(747\) | 22638.5 | + | 21589.4i | 1.10883 | + | 1.05745i | ||||
\(748\) | −3894.30 | − | 1287.24i | −0.190361 | − | 0.0629226i | ||||
\(749\) | 27428.2 | 1.33806 | ||||||||
\(750\) | 5793.76 | − | 19705.5i | 0.282078 | − | 0.959392i | ||||
\(751\) | − | 7833.34i | − | 0.380616i | −0.981724 | − | 0.190308i | \(-0.939051\pi\) | ||
0.981724 | − | 0.190308i | \(-0.0609486\pi\) | |||||||
\(752\) | 16842.7 | − | 22693.6i | 0.816740 | − | 1.10047i | ||||
\(753\) | 3095.02 | − | 7730.03i | 0.149786 | − | 0.374101i | ||||
\(754\) | −4818.45 | − | 6667.57i | −0.232729 | − | 0.322040i | ||||
\(755\) | 22104.3 | + | 18639.6i | 1.06551 | + | 0.898494i | ||||
\(756\) | 33532.0 | − | 3670.68i | 1.61316 | − | 0.176589i | ||||
\(757\) | 10981.8 | 0.527266 | 0.263633 | − | 0.964623i | \(-0.415079\pi\) | ||||
0.263633 | + | 0.964623i | \(0.415079\pi\) | |||||||
\(758\) | −4926.63 | − | 6817.26i | −0.236073 | − | 0.326668i | ||||
\(759\) | 8196.43 | + | 3281.76i | 0.391978 | + | 0.156944i | ||||
\(760\) | 10296.0 | − | 24764.0i | 0.491417 | − | 1.18196i | ||||
\(761\) | − | 24605.3i | − | 1.17206i | −0.810288 | − | 0.586032i | \(-0.800689\pi\) | ||
0.810288 | − | 0.586032i | \(-0.199311\pi\) | |||||||
\(762\) | 3629.68 | + | 14521.3i | 0.172558 | + | 0.690354i | ||||
\(763\) | 38783.1i | 1.84016i | ||||||||
\(764\) | −8586.33 | + | 25976.4i | −0.406600 | + | 1.23009i | ||||
\(765\) | −4319.81 | + | 470.762i | −0.204161 | + | 0.0222489i | ||||
\(766\) | −9719.13 | + | 7023.72i | −0.458442 | + | 0.331302i | ||||
\(767\) | 23813.6i | 1.12107i | ||||||||
\(768\) | 1849.26 | − | 21202.9i | 0.0868873 | − | 0.996218i | ||||
\(769\) | −17233.6 | −0.808140 | −0.404070 | − | 0.914728i | \(-0.632405\pi\) | ||||
−0.404070 | + | 0.914728i | \(0.632405\pi\) | |||||||
\(770\) | −2529.11 | + | 33755.2i | −0.118367 | + | 1.57981i | ||||