Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,4,Mod(5,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.k (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.55224448073\) |
Analytic rank: | \(0\) |
Dimension: | \(752\) |
Relative dimension: | \(47\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 128.5 |
Dual form | 128.4.k.a.77.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.82184 | + | 0.192933i | −0.997671 | + | 0.0682121i | ||||
\(3\) | −9.75553 | − | 2.95931i | −1.87745 | − | 0.569519i | −0.995093 | − | 0.0989452i | \(-0.968453\pi\) |
−0.882361 | − | 0.470574i | \(-0.844047\pi\) | |||||||
\(4\) | 7.92555 | − | 1.08885i | 0.990694 | − | 0.136107i | ||||
\(5\) | −0.385980 | − | 0.0380157i | −0.0345231 | − | 0.00340023i | 0.0807408 | − | 0.996735i | \(-0.474271\pi\) |
−0.115264 | + | 0.993335i | \(0.536771\pi\) | |||||||
\(6\) | 28.0995 | + | 6.46853i | 1.91193 | + | 0.440128i | ||||
\(7\) | 8.69824 | + | 13.0178i | 0.469661 | + | 0.702897i | 0.988372 | − | 0.152052i | \(-0.0485882\pi\) |
−0.518712 | + | 0.854949i | \(0.673588\pi\) | |||||||
\(8\) | −22.1546 | + | 4.60167i | −0.979103 | + | 0.203367i | ||||
\(9\) | 63.9633 | + | 42.7389i | 2.36901 | + | 1.58292i | ||||
\(10\) | 1.09651 | + | 0.0328059i | 0.0346746 | + | 0.00103741i | ||||
\(11\) | −26.1023 | + | 48.8339i | −0.715466 | + | 1.33854i | 0.216602 | + | 0.976260i | \(0.430503\pi\) |
−0.932068 | + | 0.362283i | \(0.881997\pi\) | |||||||
\(12\) | −80.5403 | − | 12.8318i | −1.93750 | − | 0.308686i | ||||
\(13\) | −7.85581 | − | 79.7614i | −0.167601 | − | 1.70168i | −0.600002 | − | 0.799998i | \(-0.704834\pi\) |
0.432401 | − | 0.901681i | \(-0.357666\pi\) | |||||||
\(14\) | −27.0566 | − | 35.0561i | −0.516513 | − | 0.669223i | ||||
\(15\) | 3.65294 | + | 1.51310i | 0.0628790 | + | 0.0260453i | ||||
\(16\) | 61.6288 | − | 17.2595i | 0.962950 | − | 0.269680i | ||||
\(17\) | 47.9433 | − | 19.8588i | 0.683997 | − | 0.283321i | −0.0134996 | − | 0.999909i | \(-0.504297\pi\) |
0.697497 | + | 0.716588i | \(0.254297\pi\) | |||||||
\(18\) | −188.740 | − | 108.262i | −2.47147 | − | 1.41764i | ||||
\(19\) | 7.88262 | − | 9.60500i | 0.0951788 | − | 0.115976i | −0.723243 | − | 0.690594i | \(-0.757349\pi\) |
0.818422 | + | 0.574618i | \(0.194849\pi\) | |||||||
\(20\) | −3.10050 | + | 0.118980i | −0.0346646 | + | 0.00133023i | ||||
\(21\) | −46.3322 | − | 152.737i | −0.481453 | − | 1.58714i | ||||
\(22\) | 64.2347 | − | 142.837i | 0.622495 | − | 1.38423i | ||||
\(23\) | 8.98677 | + | 45.1795i | 0.0814727 | + | 0.409591i | 0.999902 | + | 0.0140054i | \(0.00445822\pi\) |
−0.918429 | + | 0.395585i | \(0.870542\pi\) | |||||||
\(24\) | 229.747 | + | 20.6705i | 1.95404 | + | 0.175806i | ||||
\(25\) | −122.451 | − | 24.3569i | −0.979605 | − | 0.194856i | ||||
\(26\) | 37.5565 | + | 223.558i | 0.283286 | + | 1.68628i | ||||
\(27\) | −322.900 | − | 393.455i | −2.30156 | − | 2.80446i | ||||
\(28\) | 83.1129 | + | 93.7024i | 0.560959 | + | 0.632432i | ||||
\(29\) | −43.9891 | + | 23.5126i | −0.281675 | + | 0.150558i | −0.606184 | − | 0.795324i | \(-0.707301\pi\) |
0.324510 | + | 0.945882i | \(0.394801\pi\) | |||||||
\(30\) | −10.5999 | − | 3.56494i | −0.0645092 | − | 0.0216956i | ||||
\(31\) | −112.432 | − | 112.432i | −0.651402 | − | 0.651402i | 0.301928 | − | 0.953331i | \(-0.402370\pi\) |
−0.953331 | + | 0.301928i | \(0.902370\pi\) | |||||||
\(32\) | −170.577 | + | 60.5938i | −0.942312 | + | 0.334737i | ||||
\(33\) | 399.156 | − | 399.156i | 2.10558 | − | 2.10558i | ||||
\(34\) | −131.457 | + | 65.2880i | −0.663078 | + | 0.329318i | ||||
\(35\) | −2.86246 | − | 5.35529i | −0.0138241 | − | 0.0258631i | ||||
\(36\) | 553.481 | + | 269.083i | 2.56241 | + | 1.24575i | ||||
\(37\) | 20.0740 | − | 16.4743i | 0.0891931 | − | 0.0731989i | −0.588740 | − | 0.808322i | \(-0.700376\pi\) |
0.677933 | + | 0.735124i | \(0.262876\pi\) | |||||||
\(38\) | −20.3904 | + | 28.6246i | −0.0870461 | + | 0.122198i | ||||
\(39\) | −159.401 | + | 801.363i | −0.654477 | + | 3.29028i | ||||
\(40\) | 8.72615 | − | 0.933930i | 0.0344931 | − | 0.00369168i | ||||
\(41\) | 173.362 | − | 34.4839i | 0.660358 | − | 0.131353i | 0.146476 | − | 0.989214i | \(-0.453207\pi\) |
0.513882 | + | 0.857861i | \(0.328207\pi\) | |||||||
\(42\) | 160.210 | + | 422.059i | 0.588593 | + | 1.55060i | ||||
\(43\) | 207.035 | − | 62.8034i | 0.734245 | − | 0.222731i | 0.0990501 | − | 0.995082i | \(-0.468420\pi\) |
0.635195 | + | 0.772352i | \(0.280920\pi\) | |||||||
\(44\) | −153.702 | + | 415.457i | −0.526624 | + | 1.42347i | ||||
\(45\) | −23.0638 | − | 18.9280i | −0.0764032 | − | 0.0627025i | ||||
\(46\) | −34.0758 | − | 125.756i | −0.109222 | − | 0.403079i | ||||
\(47\) | −208.593 | − | 503.588i | −0.647370 | − | 1.56289i | −0.816531 | − | 0.577302i | \(-0.804106\pi\) |
0.169160 | − | 0.985589i | \(-0.445894\pi\) | |||||||
\(48\) | −652.298 | − | 14.0029i | −1.96148 | − | 0.0421072i | ||||
\(49\) | 37.4558 | − | 90.4262i | 0.109200 | − | 0.263633i | ||||
\(50\) | 350.235 | + | 45.1066i | 0.990615 | + | 0.127581i | ||||
\(51\) | −526.480 | + | 51.8538i | −1.44553 | + | 0.142372i | ||||
\(52\) | −149.110 | − | 623.599i | −0.397651 | − | 1.66303i | ||||
\(53\) | 107.147 | + | 57.2712i | 0.277694 | + | 0.148430i | 0.604365 | − | 0.796708i | \(-0.293427\pi\) |
−0.326671 | + | 0.945138i | \(0.605927\pi\) | |||||||
\(54\) | 987.083 | + | 1047.97i | 2.48750 | + | 2.64094i | ||||
\(55\) | 11.9314 | − | 17.8566i | 0.0292515 | − | 0.0437779i | ||||
\(56\) | −252.609 | − | 248.378i | −0.602792 | − | 0.592695i | ||||
\(57\) | −105.323 | + | 70.3748i | −0.244744 | + | 0.163533i | ||||
\(58\) | 119.594 | − | 74.8358i | 0.270749 | − | 0.169421i | ||||
\(59\) | −7.03240 | + | 71.4012i | −0.0155176 | + | 0.157553i | −0.999821 | − | 0.0189329i | \(-0.993973\pi\) |
0.984303 | + | 0.176486i | \(0.0564731\pi\) | |||||||
\(60\) | 30.5991 | + | 8.01462i | 0.0658388 | + | 0.0172447i | ||||
\(61\) | −2.61145 | + | 8.60878i | −0.00548133 | + | 0.0180695i | −0.959638 | − | 0.281237i | \(-0.909255\pi\) |
0.954157 | + | 0.299307i | \(0.0967553\pi\) | |||||||
\(62\) | 338.958 | + | 295.574i | 0.694319 | + | 0.605451i | ||||
\(63\) | 1204.42i | 2.40861i | ||||||||
\(64\) | 469.649 | − | 203.896i | 0.917284 | − | 0.398234i | ||||
\(65\) | 31.0849i | 0.0593171i | ||||||||
\(66\) | −1049.34 | + | 1203.36i | −1.95705 | + | 2.24430i | ||||
\(67\) | 250.224 | − | 824.876i | 0.456264 | − | 1.50410i | −0.363608 | − | 0.931552i | \(-0.618455\pi\) |
0.819871 | − | 0.572548i | \(-0.194045\pi\) | |||||||
\(68\) | 358.354 | − | 209.595i | 0.639070 | − | 0.373781i | ||||
\(69\) | 46.0295 | − | 467.345i | 0.0803087 | − | 0.815388i | ||||
\(70\) | 9.11062 | + | 14.5595i | 0.0155561 | + | 0.0248599i | ||||
\(71\) | 167.314 | − | 111.795i | 0.279669 | − | 0.186869i | −0.407823 | − | 0.913061i | \(-0.633712\pi\) |
0.687491 | + | 0.726192i | \(0.258712\pi\) | |||||||
\(72\) | −1613.75 | − | 652.524i | −2.64142 | − | 1.06806i | ||||
\(73\) | −136.148 | + | 203.760i | −0.218286 | + | 0.326689i | −0.924410 | − | 0.381400i | \(-0.875442\pi\) |
0.706124 | + | 0.708088i | \(0.250442\pi\) | |||||||
\(74\) | −53.4672 | + | 50.3608i | −0.0839923 | + | 0.0791125i | ||||
\(75\) | 1122.49 | + | 599.984i | 1.72819 | + | 0.923736i | ||||
\(76\) | 52.0157 | − | 84.7079i | 0.0785080 | − | 0.127851i | ||||
\(77\) | −862.755 | + | 84.9740i | −1.27688 | + | 0.125762i | ||||
\(78\) | 295.195 | − | 2292.07i | 0.428515 | − | 3.32726i | ||||
\(79\) | 283.524 | − | 684.487i | 0.403784 | − | 0.974820i | −0.582955 | − | 0.812504i | \(-0.698104\pi\) |
0.986739 | − | 0.162316i | \(-0.0518963\pi\) | |||||||
\(80\) | −24.4436 | + | 4.31896i | −0.0341610 | + | 0.00603593i | ||||
\(81\) | 1190.86 | + | 2874.98i | 1.63355 | + | 3.94373i | ||||
\(82\) | −482.548 | + | 130.755i | −0.649860 | + | 0.176092i | ||||
\(83\) | −777.382 | − | 637.981i | −1.02806 | − | 0.843705i | −0.0402189 | − | 0.999191i | \(-0.512806\pi\) |
−0.987838 | + | 0.155486i | \(0.950306\pi\) | |||||||
\(84\) | −533.516 | − | 1160.07i | −0.692992 | − | 1.50684i | ||||
\(85\) | −19.2601 | + | 5.84248i | −0.0245770 | + | 0.00745537i | ||||
\(86\) | −572.103 | + | 217.165i | −0.717342 | + | 0.272297i | ||||
\(87\) | 498.718 | − | 99.2012i | 0.614577 | − | 0.122247i | ||||
\(88\) | 353.567 | − | 1202.01i | 0.428300 | − | 1.45607i | ||||
\(89\) | 56.7068 | − | 285.084i | 0.0675383 | − | 0.339538i | −0.932211 | − | 0.361914i | \(-0.882123\pi\) |
0.999750 | + | 0.0223765i | \(0.00712327\pi\) | |||||||
\(90\) | 68.7341 | + | 48.9619i | 0.0805024 | + | 0.0573448i | ||||
\(91\) | 969.989 | − | 796.049i | 1.11739 | − | 0.917018i | ||||
\(92\) | 120.419 | + | 348.288i | 0.136462 | + | 0.394690i | ||||
\(93\) | 764.116 | + | 1429.56i | 0.851991 | + | 1.59396i | ||||
\(94\) | 685.775 | + | 1380.80i | 0.752471 | + | 1.51509i | ||||
\(95\) | −3.40767 | + | 3.40767i | −0.00368021 | + | 0.00368021i | ||||
\(96\) | 1843.38 | − | 86.3359i | 1.95979 | − | 0.0917877i | ||||
\(97\) | −184.702 | − | 184.702i | −0.193336 | − | 0.193336i | 0.603800 | − | 0.797136i | \(-0.293653\pi\) |
−0.797136 | + | 0.603800i | \(0.793653\pi\) | |||||||
\(98\) | −88.2480 | + | 262.395i | −0.0909632 | + | 0.270468i | ||||
\(99\) | −3756.69 | + | 2007.99i | −3.81376 | + | 2.03849i | ||||
\(100\) | −997.010 | − | 59.7116i | −0.997010 | − | 0.0597116i | ||||
\(101\) | −841.984 | − | 1025.96i | −0.829510 | − | 1.01076i | −0.999679 | − | 0.0253464i | \(-0.991931\pi\) |
0.170168 | − | 0.985415i | \(-0.445569\pi\) | |||||||
\(102\) | 1475.64 | − | 247.899i | 1.43245 | − | 0.240643i | ||||
\(103\) | 1332.82 | + | 265.115i | 1.27502 | + | 0.253617i | 0.785765 | − | 0.618525i | \(-0.212270\pi\) |
0.489253 | + | 0.872142i | \(0.337270\pi\) | |||||||
\(104\) | 541.078 | + | 1730.93i | 0.510164 | + | 1.63203i | ||||
\(105\) | 12.0769 | + | 60.7146i | 0.0112246 | + | 0.0564299i | ||||
\(106\) | −313.401 | − | 140.938i | −0.287172 | − | 0.129143i | ||||
\(107\) | 17.7636 | + | 58.5586i | 0.0160492 | + | 0.0529073i | 0.964599 | − | 0.263720i | \(-0.0849495\pi\) |
−0.948550 | + | 0.316627i | \(0.897450\pi\) | |||||||
\(108\) | −2987.58 | − | 2766.76i | −2.66185 | − | 2.46511i | ||||
\(109\) | 848.614 | − | 1034.04i | 0.745711 | − | 0.908651i | −0.252551 | − | 0.967584i | \(-0.581270\pi\) |
0.998262 | + | 0.0589323i | \(0.0187696\pi\) | |||||||
\(110\) | −30.2234 | + | 52.6904i | −0.0261971 | + | 0.0456712i | ||||
\(111\) | −244.585 | + | 101.310i | −0.209144 | + | 0.0866303i | ||||
\(112\) | 760.743 | + | 652.146i | 0.641817 | + | 0.550197i | ||||
\(113\) | −173.778 | − | 71.9814i | −0.144670 | − | 0.0599242i | 0.309174 | − | 0.951006i | \(-0.399948\pi\) |
−0.453844 | + | 0.891081i | \(0.649948\pi\) | |||||||
\(114\) | 283.628 | − | 218.907i | 0.233019 | − | 0.179846i | ||||
\(115\) | −1.75118 | − | 17.7800i | −0.00141999 | − | 0.0144174i | ||||
\(116\) | −323.036 | + | 234.248i | −0.258561 | + | 0.187495i | ||||
\(117\) | 2906.43 | − | 5437.55i | 2.29658 | − | 4.29659i | ||||
\(118\) | 6.06866 | − | 202.839i | 0.00473445 | − | 0.158245i | ||||
\(119\) | 675.540 | + | 451.381i | 0.520392 | + | 0.347715i | ||||
\(120\) | −87.8921 | − | 16.7124i | −0.0668617 | − | 0.0127135i | ||||
\(121\) | −963.958 | − | 1442.66i | −0.724236 | − | 1.08390i | ||||
\(122\) | 5.70816 | − | 24.7964i | 0.00423600 | − | 0.0184013i | ||||
\(123\) | −1793.29 | − | 176.624i | −1.31460 | − | 0.129477i | ||||
\(124\) | −1013.51 | − | 768.667i | −0.734001 | − | 0.556680i | ||||
\(125\) | 92.7309 | + | 28.1296i | 0.0663528 | + | 0.0201279i | ||||
\(126\) | −232.372 | − | 3398.67i | −0.164296 | − | 2.40300i | ||||
\(127\) | −2764.94 | −1.93188 | −0.965939 | − | 0.258771i | \(-0.916683\pi\) | ||||
−0.965939 | + | 0.258771i | \(0.916683\pi\) | |||||||
\(128\) | −1285.94 | + | 665.972i | −0.887983 | + | 0.459876i | ||||
\(129\) | −2205.59 | −1.50536 | ||||||||
\(130\) | −5.99731 | − | 87.7167i | −0.00404615 | − | 0.0591790i | ||||
\(131\) | −415.091 | − | 125.916i | −0.276845 | − | 0.0839799i | 0.148809 | − | 0.988866i | \(-0.452456\pi\) |
−0.425654 | + | 0.904886i | \(0.639956\pi\) | |||||||
\(132\) | 2728.91 | − | 3598.16i | 1.79940 | − | 2.37257i | ||||
\(133\) | 193.601 | + | 19.0681i | 0.126221 | + | 0.0124317i | ||||
\(134\) | −546.945 | + | 2375.95i | −0.352603 | + | 1.53172i | ||||
\(135\) | 109.676 | + | 164.141i | 0.0699213 | + | 0.104645i | ||||
\(136\) | −970.779 | + | 660.581i | −0.612085 | + | 0.416503i | ||||
\(137\) | −151.968 | − | 101.541i | −0.0947698 | − | 0.0633232i | 0.507282 | − | 0.861780i | \(-0.330650\pi\) |
−0.602052 | + | 0.798457i | \(0.705650\pi\) | |||||||
\(138\) | −39.7215 | + | 1327.65i | −0.0245023 | + | 0.818967i | ||||
\(139\) | −435.105 | + | 814.024i | −0.265504 | + | 0.496724i | −0.978980 | − | 0.203956i | \(-0.934620\pi\) |
0.713476 | + | 0.700680i | \(0.247120\pi\) | |||||||
\(140\) | −28.5177 | − | 39.3269i | −0.0172156 | − | 0.0237409i | ||||
\(141\) | 544.663 | + | 5530.06i | 0.325312 | + | 3.30294i | ||||
\(142\) | −450.563 | + | 347.749i | −0.266271 | + | 0.205510i | ||||
\(143\) | 4100.12 | + | 1698.32i | 2.39768 | + | 0.993153i | ||||
\(144\) | 4679.63 | + | 1529.97i | 2.70812 | + | 0.885400i | ||||
\(145\) | 17.8727 | − | 7.40313i | 0.0102362 | − | 0.00423998i | ||||
\(146\) | 344.875 | − | 601.245i | 0.195494 | − | 0.340817i | ||||
\(147\) | −633.000 | + | 771.313i | −0.355163 | + | 0.432767i | ||||
\(148\) | 141.159 | − | 152.426i | 0.0784002 | − | 0.0846575i | ||||
\(149\) | 516.585 | + | 1702.95i | 0.284029 | + | 0.936317i | 0.976618 | + | 0.214984i | \(0.0689700\pi\) |
−0.692589 | + | 0.721332i | \(0.743530\pi\) | |||||||
\(150\) | −3283.25 | − | 1476.49i | −1.78717 | − | 0.803701i | ||||
\(151\) | −304.034 | − | 1528.48i | −0.163854 | − | 0.823749i | −0.972039 | − | 0.234820i | \(-0.924550\pi\) |
0.808185 | − | 0.588929i | \(-0.200450\pi\) | |||||||
\(152\) | −130.437 | + | 249.068i | −0.0696042 | + | 0.132908i | ||||
\(153\) | 3915.35 | + | 778.811i | 2.06887 | + | 0.411524i | ||||
\(154\) | 2418.16 | − | 406.237i | 1.26533 | − | 0.212568i | ||||
\(155\) | 39.1225 | + | 47.6709i | 0.0202735 | + | 0.0247033i | ||||
\(156\) | −390.775 | + | 6524.81i | −0.200558 | + | 3.34874i | ||||
\(157\) | 333.186 | − | 178.092i | 0.169371 | − | 0.0905304i | −0.384533 | − | 0.923111i | \(-0.625638\pi\) |
0.553904 | + | 0.832581i | \(0.313138\pi\) | |||||||
\(158\) | −667.998 | + | 1986.21i | −0.336349 | + | 1.00009i | ||||
\(159\) | −875.792 | − | 875.792i | −0.436823 | − | 0.436823i | ||||
\(160\) | 68.1427 | − | 16.9034i | 0.0336697 | − | 0.00835207i | ||||
\(161\) | −509.971 | + | 509.971i | −0.249636 | + | 0.249636i | ||||
\(162\) | −3915.08 | − | 7882.97i | −1.89875 | − | 3.82312i | ||||
\(163\) | 1097.56 | + | 2053.39i | 0.527407 | + | 0.986709i | 0.994721 | + | 0.102618i | \(0.0327218\pi\) |
−0.467314 | + | 0.884091i | \(0.654778\pi\) | |||||||
\(164\) | 1336.45 | − | 462.070i | 0.636335 | − | 0.220010i | ||||
\(165\) | −169.240 | + | 138.892i | −0.0798506 | + | 0.0655317i | ||||
\(166\) | 2316.73 | + | 1650.30i | 1.08321 | + | 0.771613i | ||||
\(167\) | −126.626 | + | 636.593i | −0.0586744 | + | 0.294976i | −0.998970 | − | 0.0453838i | \(-0.985549\pi\) |
0.940295 | + | 0.340360i | \(0.110549\pi\) | |||||||
\(168\) | 1729.31 | + | 3170.61i | 0.794163 | + | 1.45606i | ||||
\(169\) | −4145.38 | + | 824.568i | −1.88684 | + | 0.375315i | ||||
\(170\) | 53.2216 | − | 20.2024i | 0.0240113 | − | 0.00911445i | ||||
\(171\) | 914.705 | − | 277.473i | 0.409060 | − | 0.124087i | ||||
\(172\) | 1572.48 | − | 723.182i | 0.697098 | − | 0.320594i | ||||
\(173\) | 270.756 | + | 222.204i | 0.118990 | + | 0.0976524i | 0.692006 | − | 0.721891i | \(-0.256727\pi\) |
−0.573017 | + | 0.819544i | \(0.694227\pi\) | |||||||
\(174\) | −1388.16 | + | 376.149i | −0.604807 | + | 0.163884i | ||||
\(175\) | −748.030 | − | 1805.90i | −0.323119 | − | 0.780077i | ||||
\(176\) | −765.802 | + | 3460.09i | −0.327980 | + | 1.48190i | ||||
\(177\) | 279.903 | − | 675.746i | 0.118863 | − | 0.286961i | ||||
\(178\) | −105.015 | + | 815.403i | −0.0442204 | + | 0.343354i | ||||
\(179\) | 2337.44 | − | 230.217i | 0.976023 | − | 0.0961299i | 0.402588 | − | 0.915381i | \(-0.368111\pi\) |
0.573435 | + | 0.819251i | \(0.305611\pi\) | |||||||
\(180\) | −203.403 | − | 124.901i | −0.0842265 | − | 0.0517200i | ||||
\(181\) | 2118.85 | + | 1132.55i | 0.870126 | + | 0.465092i | 0.845108 | − | 0.534595i | \(-0.179536\pi\) |
0.0250177 | + | 0.999687i | \(0.492036\pi\) | |||||||
\(182\) | −2583.57 | + | 2433.47i | −1.05224 | + | 0.991102i | ||||
\(183\) | 50.9521 | − | 76.2552i | 0.0205819 | − | 0.0308030i | ||||
\(184\) | −406.999 | − | 959.579i | −0.163067 | − | 0.384462i | ||||
\(185\) | −8.37444 | + | 5.59562i | −0.00332811 | + | 0.00222378i | ||||
\(186\) | −2432.02 | − | 3886.57i | −0.958734 | − | 1.53213i | ||||
\(187\) | −281.648 | + | 2859.62i | −0.110140 | + | 1.11827i | ||||
\(188\) | −2201.55 | − | 3764.09i | −0.854066 | − | 1.46024i | ||||
\(189\) | 2313.27 | − | 7625.83i | 0.890295 | − | 2.93491i | ||||
\(190\) | 8.95845 | − | 10.2734i | 0.00342060 | − | 0.00392267i | ||||
\(191\) | − | 2507.13i | − | 0.949790i | −0.880043 | − | 0.474895i | \(-0.842486\pi\) | ||
0.880043 | − | 0.474895i | \(-0.157514\pi\) | |||||||
\(192\) | −5185.07 | + | 599.275i | −1.94896 | + | 0.225255i | ||||
\(193\) | 2859.30i | 1.06641i | 0.845987 | + | 0.533204i | \(0.179012\pi\) | ||||
−0.845987 | + | 0.533204i | \(0.820988\pi\) | |||||||
\(194\) | 556.834 | + | 485.564i | 0.206074 | + | 0.179698i | ||||
\(195\) | 91.9899 | − | 303.250i | 0.0337822 | − | 0.111365i | ||||
\(196\) | 198.397 | − | 757.462i | 0.0723021 | − | 0.276043i | ||||
\(197\) | 193.329 | − | 1962.90i | 0.0699193 | − | 0.709903i | −0.894773 | − | 0.446522i | \(-0.852662\pi\) |
0.964692 | − | 0.263381i | \(-0.0848375\pi\) | |||||||
\(198\) | 10213.4 | − | 6391.03i | 3.66582 | − | 2.29389i | ||||
\(199\) | 3439.28 | − | 2298.06i | 1.22515 | − | 0.818618i | 0.236908 | − | 0.971532i | \(-0.423866\pi\) |
0.988239 | + | 0.152914i | \(0.0488659\pi\) | |||||||
\(200\) | 2824.92 | − | 23.8596i | 0.998761 | − | 0.00843563i | ||||
\(201\) | −4882.13 | + | 7306.62i | −1.71323 | + | 2.56403i | ||||
\(202\) | 2573.89 | + | 2732.65i | 0.896525 | + | 0.951825i | ||||
\(203\) | −688.711 | − | 368.124i | −0.238118 | − | 0.127277i | ||||
\(204\) | −4116.19 | + | 984.229i | −1.41270 | + | 0.337793i | ||||
\(205\) | −68.2254 | + | 6.71961i | −0.0232442 | + | 0.00228936i | ||||
\(206\) | −3812.16 | − | 490.966i | −1.28935 | − | 0.166054i | ||||
\(207\) | −1356.10 | + | 3273.92i | −0.455340 | + | 1.09929i | ||||
\(208\) | −1860.79 | − | 4780.01i | −0.620300 | − | 1.59343i | ||||
\(209\) | 263.295 | + | 635.651i | 0.0871413 | + | 0.210378i | ||||
\(210\) | −45.7929 | − | 168.997i | −0.0150477 | − | 0.0555328i | ||||
\(211\) | −797.468 | − | 654.465i | −0.260189 | − | 0.213532i | 0.495250 | − | 0.868751i | \(-0.335076\pi\) |
−0.755439 | + | 0.655219i | \(0.772576\pi\) | |||||||
\(212\) | 911.559 | + | 337.239i | 0.295312 | + | 0.109253i | ||||
\(213\) | −1963.07 | + | 595.491i | −0.631490 | + | 0.191560i | ||||
\(214\) | −61.4238 | − | 161.816i | −0.0196208 | − | 0.0516893i | ||||
\(215\) | −82.2989 | + | 16.3703i | −0.0261058 | + | 0.00519276i | ||||
\(216\) | 8964.27 | + | 7230.95i | 2.82380 | + | 2.27780i | ||||
\(217\) | 485.663 | − | 2441.59i | 0.151931 | − | 0.763807i | ||||
\(218\) | −2195.15 | + | 3081.62i | −0.681993 | + | 0.957401i | ||||
\(219\) | 1931.18 | − | 1584.88i | 0.595878 | − | 0.489024i | ||||
\(220\) | 75.1198 | − | 154.515i | 0.0230208 | − | 0.0473518i | ||||
\(221\) | −1960.60 | − | 3668.02i | −0.596760 | − | 1.11646i | ||||
\(222\) | 670.634 | − | 333.070i | 0.202748 | − | 0.100695i | ||||
\(223\) | −1046.97 | + | 1046.97i | −0.314395 | + | 0.314395i | −0.846610 | − | 0.532214i | \(-0.821360\pi\) |
0.532214 | + | 0.846610i | \(0.321360\pi\) | |||||||
\(224\) | −2272.52 | − | 1693.48i | −0.677852 | − | 0.505135i | ||||
\(225\) | −6791.35 | − | 6791.35i | −2.01225 | − | 2.01225i | ||||
\(226\) | 504.262 | + | 169.592i | 0.148421 | + | 0.0499164i | ||||
\(227\) | −3222.25 | + | 1722.33i | −0.942152 | + | 0.503591i | −0.869591 | − | 0.493773i | \(-0.835617\pi\) |
−0.0725614 | + | 0.997364i | \(0.523117\pi\) | |||||||
\(228\) | −758.118 | + | 672.441i | −0.220209 | + | 0.195322i | ||||
\(229\) | −2372.67 | − | 2891.11i | −0.684674 | − | 0.834278i | 0.308463 | − | 0.951236i | \(-0.400186\pi\) |
−0.993137 | + | 0.116959i | \(0.962686\pi\) | |||||||
\(230\) | 8.37191 | + | 49.8345i | 0.00240012 | + | 0.0142869i | ||||
\(231\) | 8668.10 | + | 1724.19i | 2.46891 | + | 0.491098i | ||||
\(232\) | 866.361 | − | 723.335i | 0.245170 | − | 0.204695i | ||||
\(233\) | −785.823 | − | 3950.60i | −0.220948 | − | 1.11078i | −0.918855 | − | 0.394594i | \(-0.870885\pi\) |
0.697907 | − | 0.716188i | \(-0.254115\pi\) | |||||||
\(234\) | −7152.40 | + | 15904.6i | −1.99815 | + | 4.44324i | ||||
\(235\) | 61.3684 | + | 202.305i | 0.0170350 | + | 0.0561570i | ||||
\(236\) | 22.0097 | + | 573.551i | 0.00607079 | + | 0.158199i | ||||
\(237\) | −4791.53 | + | 5838.50i | −1.31326 | + | 1.60022i | ||||
\(238\) | −1993.35 | − | 1143.39i | −0.542898 | − | 0.311408i | ||||
\(239\) | 3876.09 | − | 1605.53i | 1.04905 | − | 0.434532i | 0.209499 | − | 0.977809i | \(-0.432817\pi\) |
0.839553 | + | 0.543277i | \(0.182817\pi\) | |||||||
\(240\) | 251.242 | + | 30.2024i | 0.0675732 | + | 0.00812315i | ||||
\(241\) | 4773.42 | + | 1977.22i | 1.27586 | + | 0.528480i | 0.914742 | − | 0.404039i | \(-0.132394\pi\) |
0.361122 | + | 0.932519i | \(0.382394\pi\) | |||||||
\(242\) | 2998.47 | + | 3884.99i | 0.796484 | + | 1.03197i | ||||
\(243\) | −1762.45 | − | 17894.5i | −0.465273 | − | 4.72400i | ||||
\(244\) | −11.3235 | + | 71.0728i | −0.00297094 | + | 0.0186474i | ||||
\(245\) | −17.8948 | + | 33.4788i | −0.00466635 | + | 0.00873013i | ||||
\(246\) | 5094.46 | + | 152.419i | 1.32037 | + | 0.0395035i | ||||
\(247\) | −828.033 | − | 553.274i | −0.213305 | − | 0.142526i | ||||
\(248\) | 3008.27 | + | 1973.52i | 0.770263 | + | 0.505316i | ||||
\(249\) | 5695.79 | + | 8524.35i | 1.44962 | + | 2.16951i | ||||
\(250\) | −267.099 | − | 61.4864i | −0.0675712 | − | 0.0155550i | ||||
\(251\) | 1062.82 | + | 104.678i | 0.267268 | + | 0.0263236i | 0.230763 | − | 0.973010i | \(-0.425878\pi\) |
0.0365046 | + | 0.999333i | \(0.488378\pi\) | |||||||
\(252\) | 1311.43 | + | 9545.66i | 0.327827 | + | 2.38619i | ||||
\(253\) | −2440.87 | − | 740.429i | −0.606546 | − | 0.183994i | ||||
\(254\) | 7802.21 | − | 533.448i | 1.92738 | − | 0.131777i | ||||
\(255\) | 205.182 | 0.0503882 | ||||||||
\(256\) | 3500.22 | − | 2127.37i | 0.854546 | − | 0.519376i | ||||
\(257\) | −3806.73 | −0.923958 | −0.461979 | − | 0.886891i | \(-0.652860\pi\) | ||||
−0.461979 | + | 0.886891i | \(0.652860\pi\) | |||||||
\(258\) | 6223.83 | − | 425.532i | 1.50185 | − | 0.102684i | ||||
\(259\) | 389.068 | + | 118.023i | 0.0933418 | + | 0.0283149i | ||||
\(260\) | 33.8469 | + | 246.365i | 0.00807345 | + | 0.0587651i | ||||
\(261\) | −3818.59 | − | 376.098i | −0.905612 | − | 0.0891950i | ||||
\(262\) | 1195.61 | + | 275.231i | 0.281928 | + | 0.0649002i | ||||
\(263\) | −2904.58 | − | 4347.01i | −0.681003 | − | 1.01919i | −0.997505 | − | 0.0706016i | \(-0.977508\pi\) |
0.316501 | − | 0.948592i | \(-0.397492\pi\) | |||||||
\(264\) | −7006.35 | + | 10679.9i | −1.63337 | + | 2.48978i | ||||
\(265\) | −39.1794 | − | 26.1788i | −0.00908215 | − | 0.00606850i | ||||
\(266\) | −549.990 | − | 16.4549i | −0.126775 | − | 0.00379291i | ||||
\(267\) | −1396.86 | + | 2613.34i | −0.320173 | + | 0.599002i | ||||
\(268\) | 1084.99 | − | 6810.06i | 0.247300 | − | 1.55220i | ||||
\(269\) | −128.210 | − | 1301.74i | −0.0290600 | − | 0.295051i | −0.998719 | − | 0.0505911i | \(-0.983889\pi\) |
0.969659 | − | 0.244460i | \(-0.0786105\pi\) | |||||||
\(270\) | −341.155 | − | 442.020i | −0.0768964 | − | 0.0996313i | ||||
\(271\) | 5303.97 | + | 2196.98i | 1.18890 | + | 0.492460i | 0.887398 | − | 0.461004i | \(-0.152511\pi\) |
0.301506 | + | 0.953464i | \(0.402511\pi\) | |||||||
\(272\) | 2611.93 | − | 2051.35i | 0.582249 | − | 0.457284i | ||||
\(273\) | −11818.5 | + | 4895.39i | −2.62011 | + | 1.08528i | ||||
\(274\) | 448.419 | + | 257.214i | 0.0988685 | + | 0.0567112i | ||||
\(275\) | 4385.68 | − | 5343.97i | 0.961697 | − | 1.17183i | ||||
\(276\) | −144.061 | − | 3754.09i | −0.0314182 | − | 0.818730i | ||||
\(277\) | 705.037 | + | 2324.20i | 0.152930 | + | 0.504142i | 0.999609 | − | 0.0279616i | \(-0.00890162\pi\) |
−0.846679 | + | 0.532104i | \(0.821402\pi\) | |||||||
\(278\) | 1070.74 | − | 2380.99i | 0.231003 | − | 0.513678i | ||||
\(279\) | −2386.31 | − | 11996.8i | −0.512059 | − | 2.57430i | ||||
\(280\) | 88.0599 | + | 105.472i | 0.0187949 | + | 0.0225113i | ||||
\(281\) | −4405.88 | − | 876.385i | −0.935349 | − | 0.186052i | −0.296192 | − | 0.955129i | \(-0.595717\pi\) |
−0.639157 | + | 0.769076i | \(0.720717\pi\) | |||||||
\(282\) | −2603.88 | − | 15499.9i | −0.549855 | − | 3.27306i | ||||
\(283\) | −827.644 | − | 1008.49i | −0.173846 | − | 0.211832i | 0.678797 | − | 0.734326i | \(-0.262502\pi\) |
−0.852643 | + | 0.522494i | \(0.825002\pi\) | |||||||
\(284\) | 1204.32 | − | 1068.22i | 0.251632 | − | 0.223194i | ||||
\(285\) | 43.3280 | − | 23.1593i | 0.00900537 | − | 0.00481347i | ||||
\(286\) | −11897.5 | − | 4001.35i | −2.45984 | − | 0.827289i | ||||
\(287\) | 1956.85 | + | 1956.85i | 0.402472 | + | 0.402472i | ||||
\(288\) | −13500.3 | − | 3414.48i | −2.76221 | − | 0.698611i | ||||
\(289\) | −1569.83 | + | 1569.83i | −0.319526 | + | 0.319526i | ||||
\(290\) | −49.0057 | + | 24.3387i | −0.00992315 | + | 0.00492834i | ||||
\(291\) | 1255.28 | + | 2348.45i | 0.252871 | + | 0.473089i | ||||
\(292\) | −857.183 | + | 1763.15i | −0.171791 | + | 0.353359i | ||||
\(293\) | −4442.21 | + | 3645.63i | −0.885723 | + | 0.726894i | −0.962824 | − | 0.270129i | \(-0.912934\pi\) |
0.0771010 | + | 0.997023i | \(0.475434\pi\) | |||||||
\(294\) | 1637.41 | − | 2298.65i | 0.324816 | − | 0.455986i | ||||
\(295\) | 5.42873 | − | 27.2921i | 0.00107143 | − | 0.00538646i | ||||
\(296\) | −368.921 | + | 457.355i | −0.0724430 | + | 0.0898081i | ||||
\(297\) | 27642.4 | − | 5498.41i | 5.40059 | − | 1.07424i | ||||
\(298\) | −1786.27 | − | 4705.79i | −0.347235 | − | 0.914762i | ||||
\(299\) | 3532.99 | − | 1071.72i | 0.683337 | − | 0.207288i | ||||
\(300\) | 9549.66 | + | 3532.98i | 1.83783 | + | 0.679922i | ||||
\(301\) | 2618.40 | + | 2148.87i | 0.501403 | + | 0.411491i | ||||
\(302\) | 1152.83 | + | 4254.47i | 0.219662 | + | 0.810653i | ||||
\(303\) | 5177.87 | + | 12500.5i | 0.981719 | + | 2.37008i | ||||
\(304\) | 320.019 | − | 727.995i | 0.0603761 | − | 0.137347i | ||||
\(305\) | 1.33523 | − | 3.22354i | 0.000250673 | − | 0.000605178i | ||||
\(306\) | −11198.7 | − | 1442.28i | −2.09212 | − | 0.269443i | ||||
\(307\) | −5483.52 | + | 540.080i | −1.01942 | + | 0.100404i | −0.593894 | − | 0.804544i | \(-0.702410\pi\) |
−0.425523 | + | 0.904947i | \(0.639910\pi\) | |||||||
\(308\) | −6745.29 | + | 1612.88i | −1.24788 | + | 0.298384i | ||||
\(309\) | −12217.8 | − | 6530.57i | −2.24935 | − | 1.20230i | ||||
\(310\) | −119.595 | − | 126.972i | −0.0219114 | − | 0.0232629i | ||||
\(311\) | −1049.37 | + | 1570.49i | −0.191332 | + | 0.286348i | −0.914716 | − | 0.404098i | \(-0.867586\pi\) |
0.723384 | + | 0.690446i | \(0.242586\pi\) | |||||||
\(312\) | −156.146 | − | 18487.4i | −0.0283334 | − | 3.35462i | ||||
\(313\) | 6909.23 | − | 4616.60i | 1.24771 | − | 0.833692i | 0.256570 | − | 0.966526i | \(-0.417408\pi\) |
0.991138 | + | 0.132834i | \(0.0424077\pi\) | |||||||
\(314\) | −905.839 | + | 566.829i | −0.162801 | + | 0.101873i | ||||
\(315\) | 45.7867 | − | 464.880i | 0.00818981 | − | 0.0831525i | ||||
\(316\) | 1501.78 | − | 5733.65i | 0.267347 | − | 1.02071i | ||||
\(317\) | −1770.60 | + | 5836.87i | −0.313712 | + | 1.03417i | 0.648351 | + | 0.761341i | \(0.275459\pi\) |
−0.962063 | + | 0.272827i | \(0.912041\pi\) | |||||||
\(318\) | 2640.31 | + | 2302.38i | 0.465602 | + | 0.406009i | ||||
\(319\) | − | 2761.89i | − | 0.484753i | ||||||
\(320\) | −189.026 | + | 60.8456i | −0.0330216 | + | 0.0106293i | ||||
\(321\) | − | 623.839i | − | 0.108471i | ||||||
\(322\) | 1340.67 | − | 1537.45i | 0.232026 | − | 0.266082i | ||||
\(323\) | 187.175 | − | 617.034i | 0.0322437 | − | 0.106293i | ||||
\(324\) | 12568.6 | + | 21489.1i | 2.15511 | + | 3.68469i | ||||
\(325\) | −980.795 | + | 9958.18i | −0.167399 | + | 1.69963i | ||||
\(326\) | −3493.30 | − | 5582.57i | −0.593484 | − | 0.948435i | ||||
\(327\) | −11338.7 | + | 7576.29i | −1.91753 | + | 1.28125i | ||||
\(328\) | −3682.09 | + | 1561.73i | −0.619845 | + | 0.262903i | ||||
\(329\) | 4741.23 | − | 7095.76i | 0.794506 | − | 1.18906i | ||||
\(330\) | 450.772 | − | 424.583i | 0.0751946 | − | 0.0708258i | ||||
\(331\) | 3092.92 | + | 1653.20i | 0.513602 | + | 0.274526i | 0.707771 | − | 0.706442i | \(-0.249701\pi\) |
−0.194169 | + | 0.980968i | \(0.562201\pi\) | |||||||
\(332\) | −6855.85 | − | 4209.90i | −1.13332 | − | 0.695928i | ||||
\(333\) | 1988.09 | − | 195.810i | 0.327167 | − | 0.0322232i | ||||
\(334\) | 234.499 | − | 1820.79i | 0.0384168 | − | 0.298292i | ||||
\(335\) | −127.940 | + | 308.873i | −0.0208659 | + | 0.0503748i | ||||
\(336\) | −5491.56 | − | 8613.31i | −0.891634 | − | 1.39850i | ||||
\(337\) | −2668.33 | − | 6441.92i | −0.431315 | − | 1.04129i | −0.978864 | − | 0.204513i | \(-0.934439\pi\) |
0.547549 | − | 0.836774i | \(-0.315561\pi\) | |||||||
\(338\) | 11538.5 | − | 3126.58i | 1.85684 | − | 0.503146i | ||||
\(339\) | 1482.29 | + | 1216.48i | 0.237483 | + | 0.194897i | ||||
\(340\) | −146.285 | + | 67.2763i | −0.0233336 | + | 0.0107311i | ||||
\(341\) | 8425.26 | − | 2555.77i | 1.33799 | − | 0.405874i | ||||
\(342\) | −2527.62 | + | 959.460i | −0.399643 | + | 0.151701i | ||||
\(343\) | 6769.92 | − | 1346.62i | 1.06572 | − | 0.211984i | ||||
\(344\) | −4297.77 | + | 2344.09i | −0.673606 | + | 0.367398i | ||||
\(345\) | −35.5329 | + | 178.636i | −0.00554501 | + | 0.0278766i | ||||
\(346\) | −806.901 | − | 574.786i | −0.125374 | − | 0.0893084i | ||||
\(347\) | 5775.23 | − | 4739.61i | 0.893460 | − | 0.733244i | −0.0709991 | − | 0.997476i | \(-0.522619\pi\) |
0.964459 | + | 0.264233i | \(0.0851187\pi\) | |||||||
\(348\) | 3844.60 | − | 1329.25i | 0.592219 | − | 0.204757i | ||||
\(349\) | 2308.49 | + | 4318.88i | 0.354070 | + | 0.662419i | 0.994400 | − | 0.105681i | \(-0.0337024\pi\) |
−0.640330 | + | 0.768100i | \(0.721202\pi\) | |||||||
\(350\) | 2459.24 | + | 4951.65i | 0.375577 | + | 0.756220i | ||||
\(351\) | −28845.9 | + | 28845.9i | −4.38655 | + | 4.38655i | ||||
\(352\) | 1493.40 | − | 9911.56i | 0.226133 | − | 1.50082i | ||||
\(353\) | −5583.58 | − | 5583.58i | −0.841880 | − | 0.841880i | 0.147223 | − | 0.989103i | \(-0.452966\pi\) |
−0.989103 | + | 0.147223i | \(0.952966\pi\) | |||||||
\(354\) | −659.468 | + | 1960.85i | −0.0990122 | + | 0.294401i | ||||
\(355\) | −68.8297 | + | 36.7902i | −0.0102904 | + | 0.00550034i | ||||
\(356\) | 139.018 | − | 2321.20i | 0.0206965 | − | 0.345571i | ||||
\(357\) | −5254.48 | − | 6402.60i | −0.778981 | − | 0.949192i | ||||
\(358\) | −6551.45 | + | 1100.60i | −0.967192 | + | 0.162483i | ||||
\(359\) | −1040.16 | − | 206.901i | −0.152918 | − | 0.0304174i | 0.118037 | − | 0.993009i | \(-0.462340\pi\) |
−0.270956 | + | 0.962592i | \(0.587340\pi\) | |||||||
\(360\) | 598.068 | + | 313.209i | 0.0875582 | + | 0.0458543i | ||||
\(361\) | 1308.00 | + | 6575.78i | 0.190699 | + | 0.958708i | ||||
\(362\) | −6197.56 | − | 2787.07i | −0.899824 | − | 0.404656i | ||||
\(363\) | 5134.63 | + | 16926.6i | 0.742420 | + | 2.44743i | ||||
\(364\) | 6820.92 | − | 7365.31i | 0.982179 | − | 1.06057i | ||||
\(365\) | 60.2964 | − | 73.4714i | 0.00864673 | − | 0.0105361i | ||||
\(366\) | −129.066 | + | 225.010i | −0.0184328 | + | 0.0321352i | ||||
\(367\) | −6846.55 | + | 2835.93i | −0.973806 | + | 0.403364i | −0.812128 | − | 0.583480i | \(-0.801691\pi\) |
−0.161678 | + | 0.986844i | \(0.551691\pi\) | |||||||
\(368\) | 1333.62 | + | 2629.25i | 0.188912 | + | 0.372444i | ||||
\(369\) | 12562.6 | + | 5203.61i | 1.77232 | + | 0.734117i | ||||
\(370\) | 22.5517 | − | 17.4057i | 0.00316867 | − | 0.00244561i | ||||
\(371\) | 186.442 | + | 1892.98i | 0.0260906 | + | 0.264902i | ||||
\(372\) | 7612.63 | + | 10498.1i | 1.06101 | + | 1.46317i | ||||
\(373\) | 2536.84 | − | 4746.09i | 0.352151 | − | 0.658829i | −0.642014 | − | 0.766693i | \(-0.721901\pi\) |
0.994166 | + | 0.107864i | \(0.0344010\pi\) | |||||||
\(374\) | 243.050 | − | 8123.71i | 0.0336037 | − | 1.12317i | ||||
\(375\) | −821.395 | − | 548.839i | −0.113111 | − | 0.0755784i | ||||
\(376\) | 6938.63 | + | 10196.9i | 0.951682 | + | 1.39858i | ||||
\(377\) | 2220.97 | + | 3323.92i | 0.303411 | + | 0.454086i | ||||
\(378\) | −5056.40 | + | 21965.2i | −0.688025 | + | 2.98880i | ||||
\(379\) | −11867.1 | − | 1168.81i | −1.60837 | − | 0.158411i | −0.746446 | − | 0.665446i | \(-0.768241\pi\) |
−0.861925 | + | 0.507035i | \(0.830741\pi\) | |||||||
\(380\) | −23.2972 | + | 30.7181i | −0.00314506 | + | 0.00414686i | ||||
\(381\) | 26973.4 | + | 8182.30i | 3.62701 | + | 1.10024i | ||||
\(382\) | 483.709 | + | 7074.73i | 0.0647872 | + | 0.947577i | ||||
\(383\) | 9102.11 | 1.21435 | 0.607175 | − | 0.794568i | \(-0.292303\pi\) | ||||
0.607175 | + | 0.794568i | \(0.292303\pi\) | |||||||
\(384\) | 14515.8 | − | 2691.43i | 1.92906 | − | 0.357673i | ||||
\(385\) | 336.237 | 0.0445096 | ||||||||
\(386\) | −551.653 | − | 8068.47i | −0.0727419 | − | 1.06392i | ||||
\(387\) | 15926.8 | + | 4831.34i | 2.09200 | + | 0.634601i | ||||
\(388\) | −1664.98 | − | 1262.75i | −0.217852 | − | 0.165223i | ||||
\(389\) | 11483.2 | + | 1131.00i | 1.49672 | + | 0.147414i | 0.812970 | − | 0.582306i | \(-0.197849\pi\) |
0.683747 | + | 0.729720i | \(0.260349\pi\) | |||||||
\(390\) | −201.074 | + | 873.471i | −0.0261071 | + | 0.113410i | ||||
\(391\) | 1328.06 | + | 1987.59i | 0.171773 | + | 0.257076i | ||||
\(392\) | −413.705 | + | 2175.71i | −0.0533042 | + | 0.280332i | ||||
\(393\) | 3676.81 | + | 2456.76i | 0.471935 | + | 0.315337i | ||||
\(394\) | −166.834 | + | 5576.29i | −0.0213325 | + | 0.713018i | ||||
\(395\) | −135.456 | + | 253.420i | −0.0172545 | + | 0.0322808i | ||||
\(396\) | −27587.5 | + | 20004.9i | −3.50081 | + | 2.53860i | ||||
\(397\) | 920.830 | + | 9349.34i | 0.116411 | + | 1.18194i | 0.858922 | + | 0.512106i | \(0.171135\pi\) |
−0.742511 | + | 0.669834i | \(0.766365\pi\) | |||||||
\(398\) | −9261.74 | + | 7148.30i | −1.16645 | + | 0.900281i | ||||
\(399\) | −1832.25 | − | 758.945i | −0.229893 | − | 0.0952250i | ||||
\(400\) | −7966.87 | + | 612.349i | −0.995859 | + | 0.0765436i | ||||
\(401\) | −7823.22 | + | 3240.49i | −0.974247 | + | 0.403546i | −0.812292 | − | 0.583252i | \(-0.801780\pi\) |
−0.161956 | + | 0.986798i | \(0.551780\pi\) | |||||||
\(402\) | 12366.9 | − | 21560.0i | 1.53434 | − | 2.67492i | ||||
\(403\) | −8084.52 | + | 9851.02i | −0.999302 | + | 1.21765i | ||||
\(404\) | −7790.31 | − | 7214.51i | −0.959362 | − | 0.888454i | ||||
\(405\) | −350.352 | − | 1154.96i | −0.0429855 | − | 0.141704i | ||||
\(406\) | 2014.46 | + | 905.911i | 0.246246 | + | 0.110738i | ||||
\(407\) | 280.528 | + | 1410.31i | 0.0341652 | + | 0.171760i | ||||
\(408\) | 11425.3 | − | 3571.49i | 1.38637 | − | 0.433370i | ||||
\(409\) | −12085.0 | − | 2403.85i | −1.46103 | − | 0.290618i | −0.600342 | − | 0.799744i | \(-0.704969\pi\) |
−0.860692 | + | 0.509126i | \(0.829969\pi\) | |||||||
\(410\) | 191.225 | − | 32.1246i | 0.0230339 | − | 0.00386956i | ||||
\(411\) | 1182.03 | + | 1440.31i | 0.141862 | + | 0.172860i | ||||
\(412\) | 10852.0 | + | 649.935i | 1.29767 | + | 0.0777185i | ||||
\(413\) | −990.658 | + | 529.518i | −0.118032 | + | 0.0630893i | ||||
\(414\) | 3195.05 | − | 9500.10i | 0.379295 | − | 1.12779i | ||||
\(415\) | 275.800 | + | 275.800i | 0.0326229 | + | 0.0326229i | ||||
\(416\) | 6173.06 | + | 13129.4i | 0.727547 | + | 1.54741i | ||||
\(417\) | 6653.63 | − | 6653.63i | 0.781366 | − | 0.781366i | ||||
\(418\) | −865.615 | − | 1742.91i | −0.101289 | − | 0.203943i | ||||
\(419\) | −7268.60 | − | 13598.6i | −0.847481 | − | 1.58552i | −0.810151 | − | 0.586222i | \(-0.800615\pi\) |
−0.0373301 | − | 0.999303i | \(-0.511885\pi\) | |||||||
\(420\) | 161.825 | + | 468.047i | 0.0188006 | + | 0.0543771i | ||||
\(421\) | −6288.64 | + | 5160.96i | −0.728004 | + | 0.597458i | −0.923659 | − | 0.383215i | \(-0.874817\pi\) |
0.195655 | + | 0.980673i | \(0.437317\pi\) | |||||||
\(422\) | 2376.59 | + | 1692.94i | 0.274149 | + | 0.195286i | ||||
\(423\) | 8180.50 | − | 41126.2i | 0.940306 | − | 4.72724i | ||||
\(424\) | −2637.34 | − | 775.765i | −0.302076 | − | 0.0888549i | ||||
\(425\) | −6354.38 | + | 1263.97i | −0.725254 | + | 0.144262i | ||||
\(426\) | 5424.58 | − | 2059.12i | 0.616952 | − | 0.234190i | ||||
\(427\) | −134.783 | + | 40.8859i | −0.0152754 | + | 0.00463374i | ||||
\(428\) | 204.548 | + | 444.768i | 0.0231009 | + | 0.0502305i | ||||
\(429\) | −34973.0 | − | 28701.6i | −3.93592 | − | 3.23013i | ||||
\(430\) | 229.076 | − | 62.0724i | 0.0256907 | − | 0.00696139i | ||||
\(431\) | −5562.73 | − | 13429.6i | −0.621688 | − | 1.50089i | −0.849721 | − | 0.527233i | \(-0.823229\pi\) |
0.228033 | − | 0.973653i | \(-0.426771\pi\) | |||||||
\(432\) | −26690.8 | − | 18675.1i | −2.97260 | − | 2.07987i | ||||
\(433\) | −2139.71 | + | 5165.72i | −0.237478 | + | 0.573322i | −0.997021 | − | 0.0771349i | \(-0.975423\pi\) |
0.759543 | + | 0.650457i | \(0.225423\pi\) | |||||||
\(434\) | −899.399 | + | 6983.48i | −0.0994758 | + | 0.772391i | ||||
\(435\) | −196.266 | + | 19.3305i | −0.0216328 | + | 0.00213064i | ||||
\(436\) | 5599.82 | − | 9119.35i | 0.615098 | − | 1.00169i | ||||
\(437\) | 504.789 | + | 269.815i | 0.0552570 | + | 0.0295355i | ||||
\(438\) | −5143.71 | + | 4844.87i | −0.561133 | + | 0.528531i | ||||
\(439\) | −7135.52 | + | 10679.1i | −0.775763 | + | 1.16101i | 0.207396 | + | 0.978257i | \(0.433501\pi\) |
−0.983159 | + | 0.182754i | \(0.941499\pi\) | |||||||
\(440\) | −182.165 | + | 450.510i | −0.0197372 | + | 0.0488118i | ||||
\(441\) | 6260.51 | − | 4183.14i | 0.676008 | − | 0.451694i | ||||
\(442\) | 6240.17 | + | 9972.29i | 0.671526 | + | 1.07315i | ||||
\(443\) | −1303.01 | + | 13229.7i | −0.139747 | + | 1.41887i | 0.628047 | + | 0.778176i | \(0.283855\pi\) |
−0.767794 | + | 0.640697i | \(0.778645\pi\) | |||||||
\(444\) | −1828.16 | + | 1069.26i | −0.195407 | + | 0.114290i | ||||
\(445\) | −32.7254 | + | 107.881i | −0.00348614 | + | 0.0114923i | ||||
\(446\) | 2752.38 | − | 3156.37i | 0.292217 | − | 0.335108i | ||||
\(447\) | − | 18141.9i | − | 1.91965i | ||||||
\(448\) | 6739.40 | + | 4340.28i | 0.710730 | + | 0.457721i | ||||
\(449\) | − | 10209.4i | − | 1.07308i | −0.843875 | − | 0.536540i | \(-0.819731\pi\) | ||
0.843875 | − | 0.536540i | \(-0.180269\pi\) | |||||||
\(450\) | 20474.4 | + | 17853.8i | 2.14483 | + | 1.87031i | ||||
\(451\) | −2841.17 | + | 9366.07i | −0.296642 | + | 0.977896i | ||||
\(452\) | −1455.67 | − | 381.273i | −0.151480 | − | 0.0396761i | ||||
\(453\) | −1557.24 | + | 15810.9i | −0.161513 | + | 1.63987i | ||||
\(454\) | 8760.39 | − | 5481.82i | 0.905607 | − | 0.566684i | ||||
\(455\) | −404.659 | + | 270.384i | −0.0416938 | + | 0.0278589i | ||||
\(456\) | 2009.55 | − | 2043.79i | 0.206372 | − | 0.209888i | ||||
\(457\) | 1619.57 | − | 2423.86i | 0.165778 | − | 0.248104i | −0.739275 | − | 0.673404i | \(-0.764832\pi\) |
0.905052 | + | 0.425300i | \(0.139832\pi\) | |||||||
\(458\) | 7253.08 | + | 7700.47i | 0.739987 | + | 0.785632i | ||||
\(459\) | −23294.4 | − | 12451.1i | −2.36883 | − | 1.26616i | ||||
\(460\) | −33.2389 | − | 139.010i | −0.00336907 | − | 0.0140899i | ||||
\(461\) | 11950.2 | − | 1176.99i | 1.20732 | − | 0.118911i | 0.525737 | − | 0.850647i | \(-0.323790\pi\) |
0.681588 | + | 0.731736i | \(0.261290\pi\) | |||||||
\(462\) | −24792.6 | − | 3193.03i | −2.49666 | − | 0.321544i | ||||
\(463\) | 493.558 | − | 1191.55i | 0.0495412 | − | 0.119603i | −0.897171 | − | 0.441682i | \(-0.854382\pi\) |
0.946713 | + | 0.322079i | \(0.104382\pi\) | |||||||
\(464\) | −2305.18 | + | 2208.29i | −0.230636 | + | 0.220942i | ||||
\(465\) | −240.588 | − | 580.830i | −0.0239935 | − | 0.0579255i | ||||
\(466\) | 2979.67 | + | 10996.3i | 0.296203 | + | 1.09312i | ||||
\(467\) | 4300.71 | + | 3529.50i | 0.426153 | + | 0.349734i | 0.822893 | − | 0.568196i | \(-0.192359\pi\) |
−0.396740 | + | 0.917931i | \(0.629859\pi\) | |||||||
\(468\) | 17114.4 | − | 46260.2i | 1.69041 | − | 4.56919i | ||||
\(469\) | 12914.6 | − | 3917.60i | 1.27152 | − | 0.385710i | ||||
\(470\) | −212.203 | − | 559.031i | −0.0208260 | − | 0.0548642i | ||||
\(471\) | −3777.44 | + | 751.380i | −0.369544 | + | 0.0735069i | ||||
\(472\) | −172.765 | − | 1614.22i | −0.0168478 | − | 0.157417i | ||||
\(473\) | −2337.15 | + | 11749.6i | −0.227193 | + | 1.14218i | ||||
\(474\) | 12394.5 | − | 17399.8i | 1.20105 | − | 1.68607i | ||||
\(475\) | −1199.18 | + | 984.142i | −0.115836 | + | 0.0950642i | ||||
\(476\) | 5845.52 | + | 2841.88i | 0.562876 | + | 0.273650i | ||||
\(477\) | 4405.76 | + | 8242.60i | 0.422905 | + | 0.791200i | ||||
\(478\) | −10627.9 | + | 5278.37i | −1.01697 | + | 0.505078i | ||||
\(479\) | 5664.97 | − | 5664.97i | 0.540374 | − | 0.540374i | −0.383265 | − | 0.923639i | \(-0.625200\pi\) |
0.923639 | + | 0.383265i | \(0.125200\pi\) | |||||||
\(480\) | −714.791 | − | 36.7535i | −0.0679699 | − | 0.00349492i | ||||
\(481\) | −1471.71 | − | 1471.71i | −0.139510 | − | 0.139510i | ||||
\(482\) | −13851.3 | − | 4658.44i | −1.30894 | − | 0.440220i | ||||
\(483\) | 6484.20 | − | 3465.88i | 0.610851 | − | 0.326507i | ||||
\(484\) | −9210.75 | − | 10384.3i | −0.865021 | − | 0.975236i | ||||
\(485\) | 64.2696 | + | 78.3128i | 0.00601718 | + | 0.00733196i | ||||
\(486\) | 8425.80 | + | 50155.3i | 0.786424 | + | 4.68126i | ||||
\(487\) | −5214.12 | − | 1037.15i | −0.485163 | − | 0.0965049i | −0.0535525 | − | 0.998565i | \(-0.517054\pi\) |
−0.431610 | + | 0.902060i | \(0.642054\pi\) | |||||||
\(488\) | 18.2407 | − | 202.741i | 0.00169204 | − | 0.0188066i | ||||
\(489\) | −4630.66 | − | 23279.9i | −0.428232 | − | 2.15287i | ||||
\(490\) | 44.0371 | − | 97.9243i | 0.00405998 | − | 0.00902810i | ||||
\(491\) | 2807.27 | + | 9254.34i | 0.258026 | + | 0.850596i | 0.986250 | + | 0.165258i | \(0.0528457\pi\) |
−0.728225 | + | 0.685338i | \(0.759654\pi\) | |||||||
\(492\) | −14405.1 | + | 552.788i | −1.31999 | + | 0.0506537i | ||||
\(493\) | −1642.05 | + | 2000.84i | −0.150008 | + | 0.182786i | ||||
\(494\) | 2443.32 | + | 1401.49i | 0.222531 | + | 0.127644i | ||||
\(495\) | 1526.34 | − | 632.232i | 0.138594 | − | 0.0574075i | ||||
\(496\) | −8869.61 | − | 4988.55i | −0.802938 | − | 0.451598i | ||||
\(497\) | 2910.67 | + | 1205.64i | 0.262699 | + | 0.108813i | ||||
\(498\) | −17717.2 | − | 22955.5i | −1.59423 | − | 2.06558i | ||||
\(499\) | 136.914 | + | 1390.11i | 0.0122828 | + | 0.124709i | 0.999371 | − | 0.0354699i | \(-0.0112928\pi\) |
−0.987088 | + | 0.160179i | \(0.948793\pi\) | |||||||
\(500\) | 765.573 | + | 121.972i | 0.0684749 | + | 0.0109096i | ||||
\(501\) | 3119.18 | − | 5835.58i | 0.278153 | − | 0.520388i | ||||
\(502\) | −3019.29 | − | 90.3328i | −0.268441 | − | 0.00803137i | ||||
\(503\) | 12627.0 | + | 8437.06i | 1.11930 | + | 0.747893i | 0.970530 | − | 0.240979i | \(-0.0774685\pi\) |
0.148770 | + | 0.988872i | \(0.452469\pi\) | |||||||
\(504\) | −5542.32 | − | 26683.3i | −0.489831 | − | 2.35827i | ||||
\(505\) | 285.986 | + | 428.009i | 0.0252004 | + | 0.0377151i | ||||
\(506\) | 7030.59 | + | 1618.45i | 0.617684 | + | 0.142191i | ||||
\(507\) | 42880.6 | + | 4223.37i | 3.75620 | + | 0.369953i | ||||
\(508\) | −21913.7 | + | 3010.61i | −1.91390 | + | 0.262941i | ||||
\(509\) | −3045.86 | − | 923.952i | −0.265237 | − | 0.0804586i | 0.154865 | − | 0.987936i | \(-0.450506\pi\) |
−0.420102 | + | 0.907477i | \(0.638006\pi\) | |||||||
\(510\) | −578.991 | + | 39.5864i | −0.0502709 | + | 0.00343709i | ||||
\(511\) | −3836.76 | −0.332149 | ||||||||
\(512\) | −9466.61 | + | 6678.39i | −0.817127 | + | 0.576457i | ||||
\(513\) | −6324.44 | −0.544309 | ||||||||
\(514\) | 10742.0 | − | 734.444i | 0.921806 | − | 0.0630252i | ||||
\(515\) | −504.364 | − | 152.997i | −0.0431552 | − | 0.0130910i | ||||
\(516\) | −17480.5 | + | 2401.56i | −1.49135 | + | 0.204889i | ||||
\(517\) | 30036.9 | + | 2958.38i | 2.55517 | + | 0.251662i | ||||
\(518\) | −1120.66 | − | 257.977i | −0.0950558 | − | 0.0218819i | ||||
\(519\) | −1983.80 | − | 2968.97i | −0.167783 | − | 0.251105i | ||||
\(520\) | −143.043 | − | 688.673i | −0.0120631 | − | 0.0580775i | ||||
\(521\) | −7820.83 | − | 5225.71i | −0.657653 | − | 0.439429i | 0.181452 | − | 0.983400i | \(-0.441920\pi\) |
−0.839104 | + | 0.543970i | \(0.816920\pi\) | |||||||
\(522\) | 10848.0 | + | 324.556i | 0.909586 | + | 0.0272135i | ||||
\(523\) | −272.182 | + | 509.217i | −0.0227566 | + | 0.0425746i | −0.893043 | − | 0.449972i | \(-0.851434\pi\) |
0.870286 | + | 0.492547i | \(0.163934\pi\) | |||||||
\(524\) | −3426.93 | − | 545.985i | −0.285699 | − | 0.0455181i | ||||
\(525\) | 1953.20 | + | 19831.2i | 0.162371 | + | 1.64858i | ||||
\(526\) | 9034.93 | + | 11706.2i | 0.748939 | + | 0.970367i | ||||
\(527\) | −7623.15 | − | 3157.61i | −0.630113 | − | 0.261001i | ||||
\(528\) | 17710.3 | − | 31488.8i | 1.45974 | − | 2.59540i | ||||
\(529\) | 9280.41 | − | 3844.07i | 0.762753 | − | 0.315943i | ||||
\(530\) | 115.609 | + | 66.3134i | 0.00947494 | + | 0.00543485i | ||||
\(531\) | −3501.42 | + | 4266.50i | −0.286156 | + | 0.348682i | ||||
\(532\) | 1555.16 | − | 59.6782i | 0.126738 | − | 0.00486349i | ||||
\(533\) | −4112.39 | − | 13556.7i | −0.334198 | − | 1.10170i | ||||
\(534\) | 3437.51 | − | 7643.91i | 0.278568 | − | 0.619447i | ||||
\(535\) | −4.63023 | − | 23.2778i | −0.000374173 | − | 0.00188109i | ||||
\(536\) | −1747.79 | + | 19426.2i | −0.140845 | + | 1.56546i | ||||
\(537\) | −23484.2 | − | 4671.30i | −1.88719 | − | 0.375385i | ||||
\(538\) | 612.938 | + | 3648.57i | 0.0491183 | + | 0.292381i | ||||
\(539\) | 3438.19 | + | 4189.44i | 0.274755 | + | 0.334790i | ||||
\(540\) | 1047.96 | + | 1181.49i | 0.0835134 | + | 0.0941540i | ||||
\(541\) | −9138.47 | + | 4884.61i | −0.726235 | + | 0.388181i | −0.792703 | − | 0.609608i | \(-0.791327\pi\) |
0.0664678 | + | 0.997789i | \(0.478827\pi\) | |||||||
\(542\) | −15390.8 | − | 5176.20i | −1.21973 | − | 0.410216i | ||||
\(543\) | −17318.9 | − | 17318.9i | −1.36874 | − | 1.36874i | ||||
\(544\) | −6974.68 | + | 6292.50i | −0.549701 | + | 0.495935i | ||||
\(545\) | −366.858 | + | 366.858i | −0.0288339 | + | 0.0288339i | ||||
\(546\) | 32405.5 | − | 16094.2i | 2.53997 | − | 1.26148i | ||||
\(547\) | 4161.47 | + | 7785.56i | 0.325286 | + | 0.608567i | 0.990409 | − | 0.138167i | \(-0.0441209\pi\) |
−0.665123 | + | 0.746734i | \(0.731621\pi\) | |||||||
\(548\) | −1314.99 | − | 639.302i | −0.102507 | − | 0.0498351i | ||||
\(549\) | −534.966 | + | 439.035i | −0.0415880 | + | 0.0341304i | ||||
\(550\) | −11344.7 | + | 15926.0i | −0.879524 | + | 1.23470i | ||||
\(551\) | −120.910 | + | 607.856i | −0.00934835 | + | 0.0469973i | ||||
\(552\) | 1130.80 | + | 10565.6i | 0.0871924 | + | 0.814680i | ||||
\(553\) | 11376.7 | − | 2262.96i | 0.874839 | − | 0.174016i | ||||
\(554\) | −2437.92 | − | 6422.48i | −0.186962 | − | 0.492536i | ||||
\(555\) | 98.2563 | − | 29.8057i | 0.00751486 | − | 0.00227961i | ||||
\(556\) | −2562.10 | + | 6925.36i | −0.195426 | + | 0.528238i | ||||
\(557\) | 3558.18 | + | 2920.12i | 0.270673 | + | 0.222135i | 0.759931 | − | 0.650003i | \(-0.225233\pi\) |
−0.489259 | + | 0.872139i | \(0.662733\pi\) | |||||||
\(558\) | 9048.36 | + | 33392.6i | 0.686465 | + | 2.53337i | ||||
\(559\) | −6635.72 | − | 16020.0i | −0.502077 | − | 1.21212i | ||||
\(560\) | −268.840 | − | 280.635i | −0.0202867 | − | 0.0211768i | ||||
\(561\) | 11210.1 | − | 27063.6i | 0.843656 | − | 2.03677i | ||||
\(562\) | 12601.8 | + | 1622.98i | 0.945861 | + | 0.121817i | ||||
\(563\) | −5833.39 | + | 574.538i | −0.436675 | + | 0.0430087i | −0.313967 | − | 0.949434i | \(-0.601658\pi\) |
−0.122708 | + | 0.992443i | \(0.539158\pi\) | |||||||
\(564\) | 10338.2 | + | 43235.7i | 0.771836 | + | 3.22793i | ||||
\(565\) | 64.3386 | + | 34.3897i | 0.00479070 | + | 0.00256068i | ||||
\(566\) | 2530.05 | + | 2686.11i | 0.187890 | + | 0.199480i | ||||
\(567\) | −27067.7 | + | 40509.6i | −2.00482 | + | 3.00043i | ||||
\(568\) | −3192.31 | + | 3246.70i | −0.235821 | + | 0.239839i | ||||
\(569\) | −13734.2 | + | 9176.89i | −1.01189 | + | 0.676125i | −0.946823 | − | 0.321755i | \(-0.895727\pi\) |
−0.0650701 | + | 0.997881i | \(0.520727\pi\) | |||||||
\(570\) | −117.797 | + | 73.7113i | −0.00865606 | + | 0.00541654i | ||||
\(571\) | −144.244 | + | 1464.53i | −0.0105717 | + | 0.107336i | −0.999022 | − | 0.0442065i | \(-0.985924\pi\) |
0.988451 | + | 0.151543i | \(0.0484240\pi\) | |||||||
\(572\) | 34344.9 | + | 8995.73i | 2.51055 | + | 0.657571i | ||||
\(573\) | −7419.38 | + | 24458.4i | −0.540923 | + | 1.78319i | ||||
\(574\) | −5899.47 | − | 5144.39i | −0.428988 | − | 0.374081i | ||||
\(575\) | − | 5751.15i | − | 0.417112i | ||||||
\(576\) | 38754.6 | + | 7030.44i | 2.80343 | + | 0.508568i | ||||
\(577\) | 15853.9i | 1.14386i | 0.820302 | + | 0.571930i | \(0.193805\pi\) | ||||
−0.820302 | + | 0.571930i | \(0.806195\pi\) | |||||||
\(578\) | 4126.93 | − | 4732.68i | 0.296986 | − | 0.340577i | ||||
\(579\) | 8461.54 | − | 27894.0i | 0.607339 | − | 2.00213i | ||||
\(580\) | 133.590 | − | 78.1347i | 0.00956387 | − | 0.00559374i | ||||
\(581\) | 1543.27 | − | 15669.1i | 0.110199 | − | 1.11887i | ||||
\(582\) | −3995.28 | − | 6384.78i | −0.284553 | − | 0.454738i | ||||
\(583\) | −5593.56 | + | 3737.49i | −0.397361 | + | 0.265508i | ||||
\(584\) | 2078.66 | − | 5140.71i | 0.147287 | − | 0.364254i | ||||
\(585\) | −1328.54 | + | 1988.29i | −0.0938943 | + | 0.140523i | ||||
\(586\) | 11831.8 | − | 11144.4i | 0.834077 | − | 0.785618i | ||||
\(587\) | −9459.43 | − | 5056.17i | −0.665132 | − | 0.355520i | 0.104030 | − | 0.994574i | \(-0.466826\pi\) |
−0.769162 | + | 0.639054i | \(0.779326\pi\) | |||||||
\(588\) | −4177.03 | + | 6802.33i | −0.292956 | + | 0.477080i | ||||
\(589\) | −1966.18 | + | 193.651i | −0.137546 | + | 0.0135471i | ||||
\(590\) | −10.0535 | + | 78.0613i | −0.000701516 | + | 0.00544700i | ||||
\(591\) | −7694.85 | + | 18577.0i | −0.535573 | + | 1.29299i | ||||
\(592\) | 952.798 | − | 1361.76i | 0.0661482 | − | 0.0945405i | ||||
\(593\) | 2064.50 | + | 4984.15i | 0.142966 | + | 0.345151i | 0.979101 | − | 0.203372i | \(-0.0651902\pi\) |
−0.836135 | + | 0.548523i | \(0.815190\pi\) | |||||||
\(594\) | −76941.5 | + | 20848.8i | −5.31473 | + | 1.44013i | ||||
\(595\) | −243.585 | − | 199.905i | −0.0167832 | − | 0.0137736i | ||||
\(596\) | 5948.48 | + | 12934.3i | 0.408824 | + | 0.888945i | ||||
\(597\) | −40352.7 | + | 12240.9i | −2.76638 | + | 0.839171i | ||||
\(598\) | −9762.75 | + | 3705.85i | −0.667606 | + | 0.253417i | ||||
\(599\) | 25019.5 | − | 4976.69i | 1.70663 | − | 0.339469i | 0.757135 | − | 0.653258i | \(-0.226598\pi\) |
0.949493 | + | 0.313789i | \(0.101598\pi\) | |||||||
\(600\) | −27629.2 | − | 8127.06i | −1.87993 | − | 0.552976i | ||||
\(601\) | 3547.76 | − | 17835.8i | 0.240792 | − | 1.21054i | −0.651346 | − | 0.758781i | \(-0.725795\pi\) |
0.892138 | − | 0.451763i | \(-0.149205\pi\) | |||||||
\(602\) | −7803.31 | − | 5558.59i | −0.528304 | − | 0.376331i | ||||
\(603\) | 51259.4 | − | 42067.5i | 3.46177 | − | 2.84100i | ||||
\(604\) | −4073.93 | − | 11783.0i | −0.274447 | − | 0.793781i | ||||
\(605\) | 317.224 | + | 593.485i | 0.0213174 | + | 0.0398820i | ||||
\(606\) | −17022.9 | − | 34275.4i | −1.14110 | − | 2.29759i | ||||
\(607\) | 12929.1 | − | 12929.1i | 0.864539 | − | 0.864539i | −0.127322 | − | 0.991861i | \(-0.540638\pi\) |
0.991861 | + | 0.127322i | \(0.0406383\pi\) | |||||||
\(608\) | −762.587 | + | 2116.03i | −0.0508668 | + | 0.141145i | ||||
\(609\) | 5629.35 | + | 5629.35i | 0.374570 | + | 0.374570i | ||||
\(610\) | −3.14589 | + | 9.35392i | −0.000208809 | + | 0.000620868i | ||||
\(611\) | −38528.2 | + | 20593.8i | −2.55104 | + | 1.36356i | ||||
\(612\) | 31879.3 | + | 1909.27i | 2.10563 | + | 0.126108i | ||||
\(613\) | 5081.30 | + | 6191.58i | 0.334799 | + | 0.407954i | 0.913012 | − | 0.407932i | \(-0.133750\pi\) |
−0.578213 | + | 0.815886i | \(0.696250\pi\) | |||||||
\(614\) | 15369.4 | − | 2581.97i | 1.01019 | − | 0.169707i | ||||
\(615\) | 685.460 | + | 136.347i | 0.0449438 | + | 0.00893987i | ||||
\(616\) | 18722.9 | − | 5852.67i | 1.22463 | − | 0.382810i | ||||
\(617\) | −2531.19 | − | 12725.2i | −0.165157 | − | 0.830302i | −0.971167 | − | 0.238400i | \(-0.923377\pi\) |
0.806010 | − | 0.591902i | \(-0.201623\pi\) | |||||||
\(618\) | 35736.7 | + | 16071.0i | 2.32612 | + | 1.04607i | ||||
\(619\) | −5183.81 | − | 17088.7i | −0.336599 | − | 1.10962i | −0.947993 | − | 0.318292i | \(-0.896891\pi\) |
0.611394 | − | 0.791326i | \(-0.290609\pi\) | |||||||
\(620\) | 361.974 | + | 335.219i | 0.0234471 | + | 0.0217141i | ||||
\(621\) | 14874.3 | − | 18124.4i | 0.961167 | − | 1.17119i | ||||
\(622\) | 2658.14 | − | 4634.12i | 0.171353 | − | 0.298732i | ||||
\(623\) | 4204.43 | − | 1741.53i | 0.270380 | − | 0.111995i | ||||
\(624\) | 4007.44 | + | 52138.2i | 0.257093 | + | 3.34487i | ||||
\(625\) | 14383.5 | + | 5957.85i | 0.920545 | + | 0.381302i | ||||
\(626\) | −18606.0 | + | 14360.3i | −1.18793 | + | 0.916859i | ||||
\(627\) | −687.499 | − | 6980.29i | −0.0437895 | − | 0.444603i | ||||
\(628\) | 2446.77 | − | 1774.27i | 0.155473 | − | 0.112740i | ||||
\(629\) | 635.254 | − | 1188.48i | 0.0402690 | − | 0.0753381i | ||||
\(630\) | −39.5120 | + | 1320.65i | −0.00249872 | + | 0.0835175i | ||||
\(631\) | −20601.7 | − | 13765.6i | −1.29975 | − | 0.868466i | −0.303321 | − | 0.952889i | \(-0.598095\pi\) |
−0.996430 | + | 0.0844230i | \(0.973095\pi\) | |||||||
\(632\) | −3131.56 | + | 16469.2i | −0.197100 | + | 1.03656i | ||||
\(633\) | 5842.96 | + | 8744.61i | 0.366883 | + | 0.549079i | ||||
\(634\) | 3870.21 | − | 16812.3i | 0.242438 | − | 1.05316i | ||||
\(635\) | 1067.21 | + | 105.111i | 0.0666944 | + | 0.00656882i | ||||
\(636\) | −7894.75 | − | 5987.53i | −0.492212 | − | 0.373304i | ||||
\(637\) | −7506.77 | − | 2277.15i | −0.466921 | − | 0.141639i | ||||
\(638\) | 532.860 | + | 7793.61i | 0.0330660 | + | 0.483624i | ||||
\(639\) | 15479.9 | 0.958336 | ||||||||
\(640\) | 521.663 | − | 208.166i | 0.0322196 | − | 0.0128570i | ||||
\(641\) | −3955.08 | −0.243707 | −0.121854 | − | 0.992548i | \(-0.538884\pi\) | ||||
−0.121854 | + | 0.992548i | \(0.538884\pi\) | |||||||
\(642\) | 120.359 | + | 1760.37i | 0.00739906 | + | 0.108219i | ||||
\(643\) | −12419.9 | − | 3767.55i | −0.761733 | − | 0.231069i | −0.114564 | − | 0.993416i | \(-0.536547\pi\) |
−0.647169 | + | 0.762347i | \(0.724047\pi\) | |||||||
\(644\) | −3486.52 | + | 4597.08i | −0.213335 | + | 0.281290i | ||||
\(645\) | 851.314 | + | 83.8471i | 0.0519697 | + | 0.00511857i | ||||
\(646\) | −409.132 | + | 1777.28i | −0.0249181 | + | 0.108245i | ||||
\(647\) | −4297.44 | − | 6431.58i | −0.261128 | − | 0.390806i | 0.677619 | − | 0.735413i | \(-0.263012\pi\) |
−0.938747 | + | 0.344608i | \(0.888012\pi\) | |||||||
\(648\) | −39612.6 | − | 58214.0i | −2.40143 | − | 3.52911i | ||||
\(649\) | −3303.24 | − | 2207.15i | −0.199790 | − | 0.133495i | ||||
\(650\) | 846.384 | − | 28289.6i | 0.0510737 | − | 1.70709i | ||||
\(651\) | −11963.3 | + | 22381.8i | −0.720245 | + | 1.34748i | ||||
\(652\) | 10934.6 | + | 15079.1i | 0.656797 | + | 0.905743i | ||||
\(653\) | 1194.25 | + | 12125.4i | 0.0715691 | + | 0.726653i | 0.962276 | + | 0.272075i | \(0.0877099\pi\) |
−0.890707 | + | 0.454578i | \(0.849790\pi\) | |||||||
\(654\) | 30534.3 | − | 23566.7i | 1.82567 | − | 1.40907i | ||||
\(655\) | 155.430 | + | 64.3812i | 0.00927199 | + | 0.00384058i | ||||
\(656\) | 10088.9 | − | 5117.36i | 0.600468 | − | 0.304572i | ||||
\(657\) | −17416.9 | + | 7214.33i | −1.03424 | + | 0.428398i | ||||
\(658\) | −12010.0 | + | 20937.8i | −0.711547 | + | 1.24049i | ||||
\(659\) | −2158.98 | + | 2630.73i | −0.127621 | + | 0.155506i | −0.832900 | − | 0.553423i | \(-0.813321\pi\) |
0.705280 | + | 0.708929i | \(0.250821\pi\) | |||||||
\(660\) | −1190.09 | + | 1285.07i | −0.0701882 | + | 0.0757901i | ||||
\(661\) | −936.209 | − | 3086.27i | −0.0550897 | − | 0.181606i | 0.925078 | − | 0.379778i | \(-0.124000\pi\) |
−0.980167 | + | 0.198172i | \(0.936500\pi\) | |||||||
\(662\) | −9046.68 | − | 4068.34i | −0.531132 | − | 0.238853i | ||||
\(663\) | 8271.86 | + | 41585.5i | 0.484544 | + | 2.43597i | ||||
\(664\) | 20158.3 | + | 10556.9i | 1.17815 | + | 0.617001i | ||||
\(665\) | −74.0013 | − | 14.7198i | −0.00431526 | − | 0.000858358i | ||||
\(666\) | −5572.30 | + | 936.113i | −0.324207 | + | 0.0544649i | ||||
\(667\) | −1457.61 | − | 1776.10i | −0.0846160 | − | 0.103105i | ||||
\(668\) | −310.427 | + | 5183.23i | −0.0179802 | + | 0.300217i | ||||
\(669\) | 13312.0 | − | 7115.43i | 0.769316 | − | 0.411208i | ||||
\(670\) | 301.433 | − | 896.275i | 0.0173811 | − | 0.0516808i | ||||
\(671\) | −352.236 | − | 352.236i | −0.0202651 | − | 0.0202651i | ||||
\(672\) | 17158.1 | + | 23245.9i | 0.984952 | + | 1.33442i | ||||
\(673\) | 2686.46 | − | 2686.46i | 0.153871 | − | 0.153871i | −0.625973 | − | 0.779845i | \(-0.715298\pi\) |
0.779845 | + | 0.625973i | \(0.215298\pi\) | |||||||
\(674\) | 8772.46 | + | 17663.3i | 0.501339 | + | 1.00944i | ||||
\(675\) | 29956.0 | + | 56043.7i | 1.70816 | + | 3.19574i | ||||
\(676\) | −31956.6 | + | 11048.9i | −1.81820 | + | 0.628634i | ||||
\(677\) | 23740.7 | − | 19483.5i | 1.34775 | − | 1.10607i | 0.363062 | − | 0.931765i | \(-0.381731\pi\) |
0.984691 | − | 0.174308i | \(-0.0557688\pi\) | |||||||
\(678\) | −4417.47 | − | 3146.73i | −0.250224 | − | 0.178244i | ||||
\(679\) | 797.837 | − | 4011.00i | 0.0450930 | − | 0.226698i | ||||
\(680\) | 399.814 | − | 218.066i | 0.0225473 | − | 0.0122977i | ||||
\(681\) | 36531.7 | − | 7266.61i | 2.05565 | − | 0.408895i | ||||
\(682\) | −23281.6 | + | 8837.50i | −1.30718 | + | 0.496195i | ||||
\(683\) | −12250.3 | + | 3716.10i | −0.686305 | + | 0.208188i | −0.614131 | − | 0.789204i | \(-0.710493\pi\) |
−0.0721734 | + | 0.997392i | \(0.522993\pi\) | |||||||
\(684\) | 6947.42 | − | 3195.10i | 0.388364 | − | 0.178608i | ||||
\(685\) | 54.7963 | + | 44.9701i | 0.00305643 | + | 0.00250835i | ||||
\(686\) | −18843.8 | + | 5106.09i | −1.04878 | + | 0.284186i | ||||
\(687\) | 14591.0 | + | 35225.7i | 0.810306 | + | 1.95625i | ||||
\(688\) | 11675.4 | − | 7443.82i | 0.646976 | − | 0.412490i | ||||
\(689\) | 3726.31 | − | 8996.10i | 0.206039 | − | 0.497423i | ||||
\(690\) | 65.8034 | − | 510.938i | 0.00363057 | − | 0.0281899i | ||||
\(691\) | −19246.4 | + | 1895.61i | −1.05958 | + | 0.104359i | −0.612763 | − | 0.790267i | \(-0.709942\pi\) |
−0.446816 | + | 0.894626i | \(0.647442\pi\) | |||||||
\(692\) | 2387.84 | + | 1466.28i | 0.131174 | + | 0.0805483i | ||||
\(693\) | −58816.3 | − | 31438.0i | −3.22402 | − | 1.72328i | ||||
\(694\) | −15382.3 | + | 14488.6i | −0.841363 | + | 0.792480i | ||||
\(695\) | 198.887 | − | 297.656i | 0.0108550 | − | 0.0162457i | ||||
\(696\) | −10592.4 | + | 4492.69i | −0.576873 | + | 0.244677i | ||||
\(697\) | 7626.75 | − | 5096.03i | 0.414468 | − | 0.276938i | ||||
\(698\) | −7347.43 | − | 11741.8i | −0.398430 | − | 0.636724i | ||||
\(699\) | −4024.92 | + | 40865.7i | −0.217792 | + | 2.21128i | ||||
\(700\) | −7894.92 | − | 13498.3i | −0.426285 | − | 0.728840i | ||||
\(701\) | 5376.21 | − | 17723.0i | 0.289667 | − | 0.954905i | −0.684488 | − | 0.729025i | \(-0.739974\pi\) |
0.974155 | − | 0.225881i | \(-0.0725260\pi\) | |||||||
\(702\) | 75833.2 | − | 86963.8i | 4.07712 | − | 4.67555i | ||||
\(703\) | − | 322.671i | − | 0.0173112i | ||||||
\(704\) | −2301.88 | + | 28257.0i | −0.123232 | + | 1.51275i | ||||
\(705\) | − | 2155.20i | − | 0.115134i | ||||||
\(706\) | 16833.2 | + | 14678.7i | 0.897346 | + | 0.782493i | ||||
\(707\) | 6032.01 | − | 19884.9i | 0.320873 | − | 1.05778i | ||||
\(708\) | 1482.60 | − | 5660.43i | 0.0786999 | − | 0.300469i | ||||
\(709\) | −564.286 | + | 5729.29i | −0.0298903 | + | 0.303481i | 0.968603 | + | 0.248612i | \(0.0799743\pi\) |
−0.998494 | + | 0.0548695i | \(0.982526\pi\) | |||||||
\(710\) | 187.128 | − | 117.096i | 0.00989126 | − | 0.00618946i | ||||
\(711\) | 47389.3 | − | 31664.5i | 2.49963 | − | 1.67020i | ||||
\(712\) | 55.5488 | + | 6576.86i | 0.00292385 | + | 0.346177i | ||||
\(713\) | 4069.24 | − | 6090.05i | 0.213737 | − | 0.319880i | ||||
\(714\) | 16062.6 | + | 17053.3i | 0.841913 | + | 0.893845i | ||||
\(715\) | −1518.00 | − | 811.387i | −0.0793985 | − | 0.0424394i | ||||
\(716\) | 18274.8 | − | 4369.72i | 0.953856 | − | 0.228078i | ||||
\(717\) | −42564.6 | + | 4192.25i | −2.21702 | + | 0.218357i | ||||
\(718\) | 2975.09 | + | 383.160i | 0.154637 | + | 0.0199156i | ||||
\(719\) | −7302.95 | + | 17630.9i | −0.378796 | + | 0.914494i | 0.613396 | + | 0.789775i | \(0.289803\pi\) |
−0.992192 | + | 0.124719i | \(0.960197\pi\) | |||||||
\(720\) | −1748.08 | − | 768.438i | −0.0904821 | − | 0.0397750i | ||||
\(721\) | 8141.98 | + | 19656.5i | 0.420559 | + | 1.01532i | ||||
\(722\) | −4959.66 | − | 18303.4i | −0.255650 | − | 0.943467i | ||||
\(723\) | −40716.1 | − | 33414.8i | −2.09440 | − | 1.71883i | ||||
\(724\) | 18026.2 | + | 6668.96i | 0.925331 | + | 0.342334i | ||||
\(725\) | 5959.18 | − | 1807.70i | 0.305267 | − | 0.0926017i | ||||
\(726\) | −17754.8 | − | 46773.5i | −0.907635 | − | 2.39109i | ||||
\(727\) | −31945.9 | + | 6354.43i | −1.62972 | + | 0.324172i | −0.923435 | − | 0.383754i | \(-0.874631\pi\) |
−0.706286 | + | 0.707926i | \(0.749631\pi\) | |||||||
\(728\) | −17826.5 | + | 22099.7i | −0.907548 | + | 1.12509i | ||||
\(729\) | −19370.1 | + | 97380.3i | −0.984105 | + | 4.94743i | ||||
\(730\) | −155.972 | + | 218.958i | −0.00790791 | + | 0.0111013i | ||||
\(731\) | 8678.74 | − | 7122.46i | 0.439117 | − | 0.360374i | ||||
\(732\) | 320.793 | − | 659.844i | 0.0161979 | − | 0.0333177i | ||||
\(733\) | 13789.1 | + | 25797.6i | 0.694831 | + | 1.29994i | 0.943508 | + | 0.331351i | \(0.107504\pi\) |
−0.248676 | + | 0.968587i | \(0.579996\pi\) | |||||||
\(734\) | 18772.7 | − | 9323.47i | 0.944023 | − | 0.468849i | ||||
\(735\) | 273.647 | − | 273.647i | 0.0137328 | − | 0.0137328i | ||||
\(736\) | −4270.53 | − | 7162.03i | −0.213878 | − | 0.358690i | ||||
\(737\) | 33750.5 | + | 33750.5i | 1.68686 | + | 1.68686i | ||||
\(738\) | −36453.7 | − | 12260.0i | −1.81826 | − | 0.611514i | ||||
\(739\) | 8084.62 | − | 4321.32i | 0.402433 | − | 0.215105i | −0.257747 | − | 0.966212i | \(-0.582980\pi\) |
0.660180 | + | 0.751108i | \(0.270480\pi\) | |||||||
\(740\) | −60.2793 | + | 53.4669i | −0.00299447 | + | 0.00265606i | ||||
\(741\) | 6440.59 | + | 7847.88i | 0.319300 | + | 0.389068i | ||||
\(742\) | −891.329 | − | 5305.71i | −0.0440993 | − | 0.262505i | ||||
\(743\) | 34942.2 | + | 6950.44i | 1.72531 | + | 0.343186i | 0.955479 | − | 0.295060i | \(-0.0953395\pi\) |
0.769833 | + | 0.638246i | \(0.220340\pi\) | |||||||
\(744\) | −23507.0 | − | 28155.1i | −1.15835 | − | 1.38739i | ||||
\(745\) | −134.652 | − | 676.943i | −0.00662185 | − | 0.0332903i | ||||
\(746\) | −6242.87 | + | 13882.1i | −0.306391 | + | 0.681315i | ||||
\(747\) | −22457.3 | − | 74031.7i | −1.09996 | − | 3.62608i | ||||
\(748\) | 881.486 | + | 22970.7i | 0.0430886 | + | 1.12285i | ||||
\(749\) | −607.795 | + | 740.600i | −0.0296507 | + | 0.0361294i | ||||
\(750\) | 2423.73 | + | 1390.26i | 0.118003 | + | 0.0676868i | ||||
\(751\) | 1771.93 | − | 733.956i | 0.0860965 | − | 0.0356624i | −0.339220 | − | 0.940707i | \(-0.610163\pi\) |
0.425316 | + | 0.905045i | \(0.360163\pi\) | |||||||
\(752\) | −21547.0 | − | 27435.3i | −1.04487 | − | 1.33040i | ||||
\(753\) | −10058.6 | − | 4166.39i | −0.486792 | − | 0.201636i | ||||
\(754\) | −6908.52 | − | 8951.06i | −0.333678 | − | 0.432332i | ||||
\(755\) | 59.2447 | + | 601.521i | 0.00285581 | + | 0.0289955i | ||||
\(756\) | 10030.5 | − | 62957.7i | 0.482550 | − | 3.02877i | ||||
\(757\) | 8428.07 | − | 15767.8i | 0.404654 | − | 0.757055i | −0.594229 | − | 0.804296i | \(-0.702543\pi\) |
0.998884 | + | 0.0472408i | \(0.0150428\pi\) | |||||||
\(758\) | 33712.6 | + | 1008.63i | 1.61543 | + | 0.0483313i | ||||
\(759\) | 21620.8 | + | 14446.6i | 1.03397 | + | 0.690879i | ||||
\(760\) | 59.8145 | − | 91.1765i | 0.00285487 | − | 0.00435174i | ||||
\(761\) | −20736.2 | − | 31034.0i | −0.987764 | − | 1.47829i | −0.874676 | − | 0.484708i | \(-0.838926\pi\) |
−0.113088 | − | 0.993585i | \(-0.536074\pi\) | |||||||
\(762\) | −77693.3 | − | 17885.1i | −3.69361 | − | 0.850273i | ||||
\(763\) | 20842.4 | + | 2052.80i | 0.988919 | + | 0.0974000i | ||||
\(764\) | −2729.90 | − | 19870.4i | −0.129273 | − | 0.940951i | ||||
\(765\) | −1481.64 | − | 449.450i | −0.0700245 | − | 0.0212417i | ||||
\(766\) | −25684.7 | + | 1756.10i | −1.21152 | + | 0.0828335i | ||||
\(767\) | 5750.30 | 0.270706 | ||||||||
\(768\) | −40442.0 | + | 10395.4i | −1.90016 | + | 0.488425i | ||||
\(769\) | 5098.88 | 0.239103 | 0.119551 | − | 0.992828i | \(-0.461854\pi\) | ||||
0.119551 | + | 0.992828i | \(0.461854\pi\) | |||||||
\(770\) | −948.806 | + | 64.8711i | −0.0444059 | + | 0.00303610i | ||||
\(771\) | 37136.7 | + | 11265.3i | 1.73469 | + | 0.526212i | ||||
\(772\) | 3113.35 | + | 22661.5i | 0.145145 | + | 1.05648i | ||||
\(773\) | −35544.2 | − | 3500.80i | −1.65386 | − | 0.162891i | −0.772398 | − | 0.635139i | \(-0.780943\pi\) |
−0.881466 | + | 0.472248i | \(0.843443\pi\) | |||||||
\(774\) | −45875.0 | − | 10560.5i | −2.13041 | − | 0.490423i | ||||
\(775\) | 11028.9 | + | 16505.9i | 0.511188 | + | 0.765046i | ||||
\(776\) | 4941.92 | + | 3242.05i | 0.228614 | + | 0.149978i | ||||
\(777\) | −3446.30 | − | 2302.75i | −0.159119 | − | 0.106320i | ||||
\(778\) | −32622.0 | − | 976.004i | −1.50329 | − | 0.0449761i | ||||
\(779\) | 1035.33 | − | 1936.97i | 0.0476183 | − | 0.0890875i | ||||
\(780\) | 398.877 | − | 2503.59i | 0.0183104 | − | 0.114927i | ||||
\(781\) | 1092.14 | + | 11088.7i | 0.0500382 | + | 0.508047i | ||||
\(782\) | −4131.06 | − | 5352.43i | −0.188908 | − | 0.244760i | ||||
\(783\) | 23455.3 | + | 9715.48i | 1.07053 | + | 0.443427i | ||||
\(784\) | 747.642 | − | 6219.33i | 0.0340580 | − | 0.283315i | ||||
\(785\) | −135.374 | + | 56.0736i | −0.00615502 | + | 0.00254949i | ||||
\(786\) | −10849.4 | − | 6223.22i | −0.492345 | − | 0.282411i | ||||
\(787\) | −5448.24 | + | 6638.70i | −0.246771 | + | 0.300691i | −0.881634 | − | 0.471933i | \(-0.843556\pi\) |
0.634863 | + | 0.772624i | \(0.281056\pi\) | |||||||
\(788\) | −605.070 | − | 15767.6i | −0.0273537 | − | 0.712813i | ||||
\(789\) | 15471.6 | + | 51002.9i | 0.698102 | + | 2.30133i | ||||
\(790\) | 333.341 | − | 741.244i | 0.0150123 | − | 0.0333826i | ||||
\(791\) | −574.525 | − | 2888.33i | −0.0258252 | − | 0.129832i | ||||
\(792\) | 73987.8 | − | 61773.3i | 3.31950 | − | 2.77149i | ||||
\(793\) | 707.164 | + | 140.664i | 0.0316672 | + | 0.00629900i | ||||
\(794\) | −4402.23 | − | 26204.7i | −0.196762 | − | 1.17125i | ||||
\(795\) | 304.744 | + | 371.332i | 0.0135952 | + | 0.0165658i | ||||
\(796\) | 24756.0 | − | 21958.2i | 1.10233 | − | 0.977750i | ||||
\(797\) | −4023.33 | + | 2150.52i | −0.178813 | + | 0.0955774i | −0.558374 | − | 0.829589i | \(-0.688575\pi\) |
0.379562 | + | 0.925166i | \(0.376075\pi\) | |||||||
\(798\) | 5316.75 | + | 1788.12i | 0.235853 | + | 0.0793216i | ||||
\(799\) | −20001.3 | − | 20001.3i | −0.885599 | − | 0.885599i | ||||
\(800\) | 22363.1 | − | 3265.02i | 0.988319 | − | 0.144295i | ||||
\(801\) | 15811.3 | − | 15811.3i | 0.697461 | − | 0.697461i | ||||
\(802\) | 21450.7 | − | 10653.5i | 0.944451 | − | 0.469062i | ||||
\(803\) | −6396.61 | − | 11967.2i | −0.281110 | − | 0.525920i | ||||
\(804\) | −30737.7 | + | 63224.9i | −1.34830 | + | 2.77335i | ||||
\(805\) | 216.225 | − | 177.452i | 0.00946701 | − | 0.00776937i | ||||
\(806\) | 20912.6 | − | 29357.8i | 0.913916 | − | 1.28298i | ||||
\(807\) | −2601.50 | + | 13078.6i | −0.113478 | + | 0.570494i | ||||
\(808\) | 23374.9 | + | 18855.2i | 1.01773 | + | 0.820944i | ||||
\(809\) | −27339.6 | + | 5438.19i | −1.18815 | + | 0.236337i | −0.749303 | − | 0.662227i | \(-0.769611\pi\) |
−0.438842 | + | 0.898564i | \(0.644611\pi\) | |||||||
\(810\) | 1211.47 | + | 3191.50i | 0.0525513 | + | 0.138442i | ||||
\(811\) | −11247.2 | + | 3411.81i | −0.486983 | + | 0.147725i | −0.524222 | − | 0.851582i | \(-0.675644\pi\) |
0.0372389 | + | 0.999306i | \(0.488144\pi\) | |||||||
\(812\) | −5859.25 | − | 2167.68i | −0.253226 | − | 0.0936831i | ||||
\(813\) | −45241.5 | − | 37128.8i | −1.95165 | − | 1.60168i | ||||
\(814\) | −1063.70 | − | 3925.54i | −0.0458018 | − | 0.169030i | ||||
\(815\) | −345.574 | − | 834.290i | −0.0148527 | − | 0.0358575i | ||||
\(816\) | −31551.4 | + | 12282.5i | −1.35358 | + | 0.526927i | ||||
\(817\) | 1028.75 | − | 2483.63i | 0.0440532 | − | 0.106354i | ||||
\(818\) | 34565.6 | + | 4451.68i | 1.47745 | + | 0.190281i | ||||
\(819\) | 96065.9 | − | 9461.67i | 4.09867 | − | 0.403684i | ||||
\(820\) | −533.407 | + | 127.544i | −0.0227163 | + | 0.00543174i | ||||
\(821\) | 16018.3 | + | 8561.96i | 0.680929 | + | 0.363964i | 0.775318 | − | 0.631571i | \(-0.217590\pi\) |
−0.0943890 | + | 0.995535i | \(0.530090\pi\) | |||||||
\(822\) | −3613.39 | − | 3836.27i | −0.153323 | − | 0.162780i | ||||
\(823\) | 41.7282 | − | 62.4506i | 0.00176738 | − | 0.00264507i | −0.830585 | − | 0.556892i | \(-0.811994\pi\) |
0.832352 | + | 0.554247i | \(0.186994\pi\) | |||||||
\(824\) | −30748.0 | + | 259.701i | −1.29995 | + | 0.0109795i | ||||
\(825\) | −58599.1 | + | 39154.7i | −2.47292 | + | 1.65235i | ||||
\(826\) | 2693.32 | − | 1685.35i | 0.113453 | − | 0.0709935i | ||||
\(827\) | 3493.66 | − | 35471.7i | 0.146900 | − | 1.49150i | −0.585525 | − | 0.810655i | \(-0.699111\pi\) |
0.732425 | − | 0.680848i | \(-0.238389\pi\) | |||||||
\(828\) | −7183.03 | + | 27424.2i | −0.301483 | + | 1.15103i | ||||
\(829\) | 12089.3 | − | 39853.0i | 0.506487 | − | 1.66967i | −0.214505 | − | 0.976723i | \(-0.568814\pi\) |
0.720993 | − | 0.692942i | \(-0.243686\pi\) | |||||||
\(830\) | −831.475 | − | 725.053i | −0.0347722 | − | 0.0303217i | ||||
\(831\) | − | 24760.2i | − | 1.03360i | ||||||
\(832\) | −19952.5 | − | 35858.1i | −0.831404 | − | 1.49418i | ||||
\(833\) | − | 5079.15i | − | 0.211263i | ||||||
\(834\) | −17491.8 | + | 20059.2i | −0.726247 | + | 0.832845i | ||||
\(835\) | 73.0757 | − | 240.898i | 0.00302861 | − | 0.00998399i | ||||
\(836\) | 2778.89 | + | 4751.20i | 0.114964 | + | 0.196559i | ||||
\(837\) | −7932.66 | + | 80541.6i | −0.327590 | + | 3.32608i | ||||
\(838\) | 23134.4 | + | 36970.7i | 0.953659 | + | 1.52402i | ||||
\(839\) | −29446.8 | + | 19675.7i | −1.21170 | + | 0.809632i | −0.986353 | − | 0.164647i | \(-0.947352\pi\) |
−0.225347 | + | 0.974279i | \(0.572352\pi\) | |||||||
\(840\) | −546.947 | − | 1289.53i | −0.0224660 | − | 0.0529680i | ||||
\(841\) | −12167.6 | + | 18210.1i | −0.498897 | + | 0.746653i | ||||
\(842\) | 16749.8 | − | 15776.7i | 0.685555 | − | 0.645725i | ||||
\(843\) | 40388.3 | + | 21588.0i | 1.65011 | + | 0.882004i | ||||
\(844\) | −7032.99 | − | 4318.67i | −0.286831 | − | 0.176131i | ||||
\(845\) | 1631.38 | − | 160.677i | 0.0664156 | − | 0.00654137i | ||||
\(846\) | −15149.5 | + | 117630.i | −0.615661 | + | 4.78037i | ||||
\(847\) | 10395.6 | − | 25097.3i | 0.421722 | − | 1.01813i | ||||
\(848\) | 7591.81 | + | 1680.25i | 0.307434 | + | 0.0680426i | ||||
\(849\) | 5089.68 | + | 12287.6i | 0.205745 | + | 0.496712i | ||||
\(850\) | 17687.2 | − | 4792.68i | 0.713724 | − | 0.193397i | ||||
\(851\) | 924.702 | + | 758.883i | 0.0372484 | + | 0.0305690i | ||||
\(852\) | −14910.0 | + | 6857.09i | −0.599541 | + | 0.275728i | ||||
\(853\) | −1419.24 | + | 430.523i | −0.0569684 | + | 0.0172812i | −0.318640 | − | 0.947876i | \(-0.603226\pi\) |
0.261672 | + | 0.965157i | \(0.415726\pi\) | |||||||
\(854\) | 372.447 | − | 141.377i | 0.0149237 | − | 0.00566491i | ||||
\(855\) | −363.606 | + | 72.3257i | −0.0145439 | + | 0.00289297i | ||||
\(856\) | −663.012 | − | 1215.60i | −0.0264734 | − | 0.0485378i | ||||
\(857\) | 2459.07 | − | 12362.6i | 0.0980167 | − | 0.492763i | −0.900326 | − | 0.435216i | \(-0.856672\pi\) |
0.998343 | − | 0.0575472i | \(-0.0183280\pi\) | |||||||
\(858\) | 104226. | + | 74243.7i | 4.14709 | + | 2.95413i | ||||
\(859\) | 12210.6 | − | 10021.0i | 0.485007 | − | 0.398035i | −0.359864 | − | 0.933005i | \(-0.617177\pi\) |
0.844871 | + | 0.534970i | \(0.179677\pi\) | |||||||
\(860\) | −634.440 | + | 219.355i | −0.0251561 | + | 0.00869760i | ||||
\(861\) | −13299.2 | − | 24881.1i | −0.526407 | − | 0.984838i | ||||
\(862\) | 18288.2 | + | 36823.0i | 0.722618 | + | 1.45498i | ||||
\(863\) | −11047.6 | + | 11047.6i | −0.435763 | + | 0.435763i | −0.890583 | − | 0.454820i | \(-0.849703\pi\) |
0.454820 | + | 0.890583i | \(0.349703\pi\) | |||||||
\(864\) | 78920.2 | + | 47548.5i | 3.10755 | + | 1.87226i | ||||
\(865\) | −96.0593 | − | 96.0593i | −0.00377585 | − | 0.00377585i | ||||
\(866\) | 5041.28 | − | 14989.7i | 0.197817 | − | 0.588186i | ||||
\(867\) | 19960.1 | − | 10668.9i | 0.781870 | − | 0.417918i | ||||
\(868\) | 1190.61 | − | 19879.8i | 0.0465577 | − | 0.777378i | ||||
\(869\) | 26025.5 | + | 31712.2i | 1.01594 | + | 1.23793i | ||||
\(870\) | 550.102 | − | 92.4139i | 0.0214370 | − | 0.00360129i | ||||
\(871\) | −67759.0 | − | 13478.1i | −2.63597 | − | 0.524326i | ||||
\(872\) | −14042.4 | + | 26813.7i | −0.545338 | + | 1.04132i | ||||
\(873\) | −3920.18 | − | 19708.1i | −0.151979 | − | 0.764052i | ||||
\(874\) | −1476.49 | − | 663.985i | −0.0571430 | − | 0.0256975i | ||||
\(875\) | 440.409 | + | 1451.83i | 0.0170155 | + | 0.0560925i | ||||
\(876\) | 13580.0 | − | 14663.8i | 0.523773 | − | 0.565576i | ||||
\(877\) | 21323.2 | − | 25982.4i | 0.821019 | − | 1.00041i | −0.178844 | − | 0.983877i | \(-0.557236\pi\) |
0.999863 | − | 0.0165374i | \(-0.00526427\pi\) | |||||||
\(878\) | 18075.0 | − | 31511.3i | 0.694761 | − | 1.21122i | ||||
\(879\) | 54124.7 | − | 22419.2i | 2.07688 | − | 0.860274i | ||||
\(880\) | 427.122 | − | 1306.41i | 0.0163617 | − | 0.0500445i | ||||
\(881\) | −31161.2 | − | 12907.4i | −1.19166 | − | 0.493600i | −0.303362 | − | 0.952875i | \(-0.598109\pi\) |
−0.888294 | + | 0.459275i | \(0.848109\pi\) | |||||||
\(882\) | −16859.1 | + | 13012.0i | −0.643622 | + | 0.496754i | ||||
\(883\) | −775.920 | − | 7878.05i | −0.0295717 | − | 0.300246i | −0.998582 | − | 0.0532276i | \(-0.983049\pi\) |
0.969011 | − | 0.247019i | \(-0.0794509\pi\) | |||||||
\(884\) | −19532.7 | − | 26936.3i | −0.743164 | − | 1.02485i | ||||
\(885\) | −133.726 | + | 250.184i | −0.00507926 | + | 0.00950263i | ||||
\(886\) | 1124.44 | − | 37583.4i | 0.0426369 | − | 1.42510i | ||||
\(887\) | 27065.3 | + | 18084.5i | 1.02454 | + | 0.684574i | 0.949873 | − | 0.312635i | \(-0.101212\pi\) |
0.0746636 | + | 0.997209i | \(0.476212\pi\) | |||||||
\(888\) | 4952.48 | − | 3369.99i | 0.187156 | − | 0.127353i | ||||
\(889\) | −24050.1 | − | 35993.5i | −0.907327 | − | 1.35791i | ||||
\(890\) | 71.5319 | − | 310.737i | 0.00269411 | − | 0.0117033i | ||||
\(891\) | −171480. | − | 16889.4i | −6.44760 | − | 0.635033i | ||||
\(892\) | −7157.80 | + | 9437.79i | −0.268678 | + | 0.354261i | ||||
\(893\) | −6481.22 | − | 1966.06i | −0.242873 | − | 0.0736748i | ||||
\(894\) | 3500.18 | + | 51193.6i | 0.130943 | + | 1.91518i | ||||
\(895\) | −910.955 | −0.0340222 | ||||||||
\(896\) | −19854.9 | − | 10947.3i | −0.740296 | − | 0.408175i | ||||
\(897\) | −37637.7 | −1.40099 | ||||||||
\(898\) | 1969.74 | + | 28809.4i | 0.0731970 | + | 1.07058i | ||||
\(899\) | 7589.38 | + | 2302.21i | 0.281557 | + | 0.0854095i | ||||
\(900\) | −61220.0 | − | 46430.4i | −2.26741 | − | 1.71965i | ||||
\(901\) | 6274.31 | + | 617.966i | 0.231995 | + | 0.0228495i | ||||
\(902\) | 6210.29 | − | 26977.7i | 0.229246 | − | 0.995853i | ||||
\(903\) | −19184.8 | − | 28712.0i | −0.707009 | − | 1.05811i | ||||
\(904\) | 4181.22 | + | 795.046i | 0.153833 | + | 0.0292509i | ||||
\(905\) | −774.779 | − | 517.691i | −0.0284580 | − | 0.0190150i | ||||
\(906\) | 1343.83 | − | 44916.2i | 0.0492778 | − | 1.64707i | ||||
\(907\) | −11785.7 | + | 22049.4i | −0.431462 | + | 0.807209i | −0.999879 | − | 0.0155312i | \(-0.995056\pi\) |
0.568417 | + | 0.822741i | \(0.307556\pi\) | |||||||
\(908\) | −23662.8 | + | 17159.0i | −0.864843 | + | 0.627138i | ||||
\(909\) | −10007.6 | − | 101609.i | −0.365162 | − | 3.70755i | ||||
\(910\) | 1089.72 | − | 841.053i | 0.0396964 | − | 0.0306381i | ||||
\(911\) | −6120.90 | − | 2535.36i | −0.222606 | − | 0.0922066i | 0.268593 | − | 0.963254i | \(-0.413441\pi\) |
−0.491199 | + | 0.871047i | \(0.663441\pi\) | |||||||
\(912\) | −5276.32 | + | 6154.94i | −0.191575 | + | 0.223476i | ||||
\(913\) | 51446.5 | − | 21309.8i | 1.86488 | − | 0.772457i | ||||
\(914\) | −4102.53 | + | 7152.21i | −0.148468 | + | 0.258834i | ||||
\(915\) | −22.5654 | + | 27.4960i | −0.000815288 | + | 0.000993431i | ||||
\(916\) | −21952.7 | − | 20330.1i | −0.791853 | − | 0.733326i | ||||
\(917\) | −1971.40 | − | 6498.84i | −0.0709939 | − | 0.234035i | ||||
\(918\) | 68135.4 | + | 30640.8i | 2.44968 | + | 1.10163i | ||||
\(919\) | 1985.40 | + | 9981.29i | 0.0712648 | + | 0.358272i | 0.999920 | − | 0.0126725i | \(-0.00403390\pi\) |
−0.928655 | + | 0.370945i | \(0.879034\pi\) | |||||||
\(920\) | 120.614 | + | 385.851i | 0.00432233 | + | 0.0138273i | ||||
\(921\) | 55092.9 | + | 10958.7i | 1.97109 | + | 0.392074i | ||||
\(922\) | −33494.5 | + | 5626.87i | −1.19640 | + | 0.200988i | ||||
\(923\) | −10231.3 | − | 12466.9i | −0.364863 | − | 0.444587i | ||||
\(924\) | 70576.9 | + | 4226.90i | 2.51278 | + | 0.150492i | ||||
\(925\) | −2859.34 | + | 1528.35i | −0.101637 | + | 0.0543262i | ||||
\(926\) | −1162.85 | + | 3457.60i | −0.0412674 | + | 0.122704i | ||||
\(927\) | 73920.9 | + | 73920.9i | 2.61907 | + | 2.61907i | ||||
\(928\) | 6078.79 | − | 6676.17i | 0.215028 | − | 0.236160i | ||||
\(929\) | −23243.0 | + | 23243.0i | −0.820860 | + | 0.820860i | −0.986231 | − | 0.165372i | \(-0.947118\pi\) |
0.165372 | + | 0.986231i | \(0.447118\pi\) | |||||||
\(930\) | 790.961 | + | 1592.59i | 0.0278889 | + | 0.0561539i | ||||
\(931\) | −573.294 | − | 1072.56i | −0.0201815 | − | 0.0377569i | ||||
\(932\) | −10529.7 | − | 30455.0i | −0.370077 | − | 1.07037i | ||||
\(933\) | 14884.7 | − | 12215.5i | 0.522297 | − | 0.428638i | ||||
\(934\) | −12816.9 | − | 9129.94i | −0.449016 | − | 0.319851i | ||||
\(935\) | 217.421 | − | 1093.05i | 0.00760472 | − | 0.0382315i | ||||
\(936\) | −39368.9 | + | 133841.i | −1.37480 | + | 4.67385i | ||||
\(937\) | 44598.1 | − | 8871.11i | 1.55492 | − | 0.309292i | 0.658526 | − | 0.752558i | \(-0.271180\pi\) |
0.896390 | + | 0.443266i | \(0.146180\pi\) | |||||||
\(938\) | −35687.1 | + | 13546.5i | −1.24224 | + | 0.471545i | ||||
\(939\) | −81065.1 | + | 24590.8i | −2.81732 | + | 0.854624i | ||||
\(940\) | 706.659 | + | 1536.55i | 0.0245199 | + | 0.0533158i | ||||
\(941\) | 21095.8 | + | 17312.9i | 0.730822 | + | 0.599770i | 0.924449 | − | 0.381305i | \(-0.124525\pi\) |
−0.193627 | + | 0.981075i | \(0.562025\pi\) | |||||||
\(942\) | 10514.4 | − | 2849.07i | 0.363669 | − | 0.0985431i | ||||
\(943\) | 3115.94 | + | 7522.54i | 0.107602 | + | 0.259775i | ||||
\(944\) | 798.951 | + | 4521.75i | 0.0275462 | + | 0.155901i | ||||
\(945\) | −1182.78 | + | 2855.48i | −0.0407151 | + | 0.0982949i | ||||
\(946\) | 4328.17 | − | 33606.5i | 0.148753 | − | 1.15501i | ||||
\(947\) | −7856.75 | + | 773.823i | −0.269599 | + | 0.0265532i | −0.231913 | − | 0.972736i | \(-0.574499\pi\) |
−0.0376857 | + | 0.999290i | \(0.511999\pi\) | |||||||
\(948\) | −31618.3 | + | 51490.6i | −1.08324 | + | 1.76407i | ||||
\(949\) | 17321.7 | + | 9258.65i | 0.592504 | + | 0.316700i | ||||
\(950\) | 3194.02 | − | 3008.45i | 0.109082 | − | 0.102744i | ||||
\(951\) | 34546.2 | − | 51702.1i | 1.17796 | − | 1.76294i | ||||
\(952\) | −17043.4 | − | 6891.55i | −0.580231 | − | 0.234618i | ||||
\(953\) | −23242.7 | + | 15530.3i | −0.790035 | + | 0.527885i | −0.883886 | − | 0.467701i | \(-0.845082\pi\) |
0.0938511 | + | 0.995586i | \(0.470082\pi\) | |||||||
\(954\) | −14022.6 | − | 22409.3i | −0.475890 | − | 0.760510i | ||||
\(955\) | −95.3104 | + | 967.703i | −0.00322950 | + | 0.0327897i | ||||
\(956\) | 28972.0 | − | 16945.2i | 0.980147 | − | 0.573271i | ||||
\(957\) | −8173.29 | + | 26943.7i | −0.276076 | + | 0.910101i | ||||
\(958\) | −14892.7 | + | 17078.6i | −0.502255 | + | 0.575976i | ||||
\(959\) | − | 2861.52i | − | 0.0963538i | ||||||
\(960\) | 2024.11 | − | 34.1942i | 0.0680500 | − | 0.00114960i | ||||
\(961\) | − | 4508.87i | − | 0.151350i | ||||||
\(962\) | 4436.87 | + | 3868.99i | 0.148701 | + | 0.129669i | ||||
\(963\) | −1366.52 | + | 4504.80i | −0.0457272 | + | 0.150743i | ||||
\(964\) | 39984.9 | + | 10473.0i | 1.33592 | + | 0.349909i | ||||
\(965\) | 108.698 | − | 1103.63i | 0.00362603 | − | 0.0368157i | ||||
\(966\) | −17628.7 | + | 11031.2i | −0.587157 | + | 0.367414i | ||||
\(967\) | −11967.2 | + | 7996.20i | −0.397971 | + | 0.265916i | −0.738412 | − | 0.674350i | \(-0.764424\pi\) |
0.340441 | + | 0.940266i | \(0.389424\pi\) | |||||||
\(968\) | 27994.7 | + | 27525.8i | 0.929530 | + | 0.913959i | ||||
\(969\) | −3651.99 | + | 5465.59i | −0.121072 | + | 0.181197i | ||||
\(970\) | −196.468 | − | 208.586i | −0.00650330 | − | 0.00690443i | ||||
\(971\) | 8993.85 | + | 4807.31i | 0.297247 | + | 0.158882i | 0.613278 | − | 0.789867i | \(-0.289851\pi\) |
−0.316031 | + | 0.948749i | \(0.602351\pi\) | |||||||
\(972\) | −33452.9 | − | 139905.i | −1.10391 | − | 4.61671i | ||||
\(973\) | −14381.5 | + | 1416.45i | −0.473843 | + | 0.0466694i | ||||
\(974\) | 14913.5 | + | 1920.70i | 0.490616 | + | 0.0631861i | ||||
\(975\) | 39037.5 | − | 94244.9i | 1.28226 | − | 3.09564i | ||||
\(976\) | −12.3569 | + | 575.621i | −0.000405260 | + | 0.0188783i | ||||
\(977\) | 19221.0 | + | 46403.6i | 0.629411 | + | 1.51953i | 0.840357 | + | 0.542034i | \(0.182346\pi\) |
−0.210946 | + | 0.977498i | \(0.567654\pi\) | |||||||
\(978\) | 17558.4 | + | 64798.7i | 0.574087 | + | 2.11864i | ||||
\(979\) | 12441.6 | + | 10210.6i | 0.406165 | + | 0.333331i | ||||
\(980\) | −105.373 | + | 284.823i | −0.00343470 | + | 0.00928401i | ||||
\(981\) | 98473.8 | − | 29871.7i | 3.20492 | − | 0.972202i | ||||
\(982\) | −9707.15 | − | 25572.7i | −0.315446 | − | 0.831015i | ||||
\(983\) | −8243.26 | + | 1639.69i | −0.267466 | + | 0.0532023i | −0.327001 | − | 0.945024i | \(-0.606038\pi\) |
0.0595351 | + | 0.998226i | \(0.481038\pi\) | |||||||
\(984\) | 40542.4 | − | 4339.11i | 1.31346 | − | 0.140575i | ||||
\(985\) | −149.242 | + | 750.290i | −0.00482766 | + | 0.0242703i | ||||
\(986\) | 4247.57 | − | 5962.86i | 0.137191 | − | 0.192592i | ||||
\(987\) | −67251.8 | + | 55192.1i | −2.16884 | + | 1.77992i | ||||
\(988\) | −7165.05 | − | 3483.40i | −0.230719 | − | 0.112168i | ||||
\(989\) | 4698.01 | + | 8789.35i | 0.151049 | + | 0.282594i | ||||
\(990\) | −4185.12 | + | 2078.54i | −0.134355 | + | 0.0667276i | ||||
\(991\) | 24250.7 | − | 24250.7i | 0.777346 | − | 0.777346i | −0.202033 | − | 0.979379i | \(-0.564755\pi\) |
0.979379 | + | 0.202033i | \(0.0647548\pi\) | |||||||
\(992\) | 25991.1 | + | 12365.6i | 0.831872 | + | 0.395776i | ||||
\(993\) | −25280.8 | − | 25280.8i | −0.807916 | − | 0.807916i | ||||
\(994\) | −8446.04 | − | 2840.55i | −0.269509 | − | 0.0906407i | ||||
\(995\) | −1414.86 | + | 756.257i | −0.0450794 | + | 0.0240954i | ||||
\(996\) | 54424.1 | + | 61358.4i | 1.73142 | + | 1.95202i | ||||
\(997\) | −27518.0 | − | 33530.8i | −0.874126 | − | 1.06513i | −0.997350 | − | 0.0727470i | \(-0.976823\pi\) |
0.123224 | − | 0.992379i | \(-0.460677\pi\) | |||||||
\(998\) | −654.548 | − | 3896.26i | −0.0207609 | − | 0.123581i | ||||
\(999\) | −12963.8 | − | 2578.66i | −0.410567 | − | 0.0816669i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 128.4.k.a.5.2 | ✓ | 752 | |
128.77 | even | 32 | inner | 128.4.k.a.77.2 | yes | 752 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.4.k.a.5.2 | ✓ | 752 | 1.1 | even | 1 | trivial | |
128.4.k.a.77.2 | yes | 752 | 128.77 | even | 32 | inner |