Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.101 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.101 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.82389 | − | 0.820620i | 0.911946 | − | 0.410310i | ||||
\(3\) | 1.40589 | + | 2.65018i | 0.468631 | + | 0.883394i | ||||
\(4\) | 2.65317 | − | 2.99344i | 0.663292 | − | 0.748361i | ||||
\(5\) | −3.62538 | + | 3.44334i | −0.725077 | + | 0.688668i | ||||
\(6\) | 4.73899 | + | 3.67994i | 0.789832 | + | 0.613323i | ||||
\(7\) | 8.40935 | − | 8.40935i | 1.20134 | − | 1.20134i | 0.227574 | − | 0.973761i | \(-0.426921\pi\) |
0.973761 | − | 0.227574i | \(-0.0730795\pi\) | |||||||
\(8\) | 2.38261 | − | 7.63696i | 0.297826 | − | 0.954620i | ||||
\(9\) | −5.04692 | + | 7.45175i | −0.560769 | + | 0.827972i | ||||
\(10\) | −3.78664 | + | 9.25534i | −0.378664 | + | 0.925534i | ||||
\(11\) | 15.5772 | + | 11.3175i | 1.41611 | + | 1.02886i | 0.992398 | + | 0.123067i | \(0.0392730\pi\) |
0.423712 | + | 0.905797i | \(0.360727\pi\) | |||||||
\(12\) | 11.6632 | + | 2.82291i | 0.971937 | + | 0.235242i | ||||
\(13\) | −1.80401 | + | 11.3900i | −0.138770 | + | 0.876157i | 0.815836 | + | 0.578284i | \(0.196277\pi\) |
−0.954605 | + | 0.297874i | \(0.903723\pi\) | |||||||
\(14\) | 8.43687 | − | 22.2386i | 0.602633 | − | 1.58847i | ||||
\(15\) | −14.2224 | − | 4.76695i | −0.948159 | − | 0.317797i | ||||
\(16\) | −1.92141 | − | 15.8842i | −0.120088 | − | 0.992763i | ||||
\(17\) | −5.37373 | − | 10.5465i | −0.316102 | − | 0.620385i | 0.677217 | − | 0.735783i | \(-0.263186\pi\) |
−0.993319 | + | 0.115398i | \(0.963186\pi\) | |||||||
\(18\) | −3.08999 | + | 17.7328i | −0.171666 | + | 0.985155i | ||||
\(19\) | 1.22960 | − | 3.78431i | 0.0647156 | − | 0.199174i | −0.913470 | − | 0.406905i | \(-0.866608\pi\) |
0.978186 | + | 0.207731i | \(0.0666079\pi\) | |||||||
\(20\) | 0.688703 | + | 19.9881i | 0.0344352 | + | 0.999407i | ||||
\(21\) | 34.1089 | + | 10.4636i | 1.62424 | + | 0.498268i | ||||
\(22\) | 37.6985 | + | 7.85895i | 1.71357 | + | 0.357225i | ||||
\(23\) | 2.57890 | − | 0.408458i | 0.112126 | − | 0.0177590i | −0.100119 | − | 0.994975i | \(-0.531922\pi\) |
0.212245 | + | 0.977216i | \(0.431922\pi\) | |||||||
\(24\) | 23.5890 | − | 4.42241i | 0.982876 | − | 0.184267i | ||||
\(25\) | 1.28681 | − | 24.9669i | 0.0514723 | − | 0.998674i | ||||
\(26\) | 6.05658 | + | 22.2546i | 0.232946 | + | 0.855947i | ||||
\(27\) | −26.8439 | − | 2.89888i | −0.994220 | − | 0.107366i | ||||
\(28\) | −2.86151 | − | 47.4843i | −0.102197 | − | 1.69587i | ||||
\(29\) | 15.6972 | + | 48.3109i | 0.541282 | + | 1.66589i | 0.729670 | + | 0.683800i | \(0.239674\pi\) |
−0.188388 | + | 0.982095i | \(0.560326\pi\) | |||||||
\(30\) | −29.8519 | + | 2.97677i | −0.995065 | + | 0.0992256i | ||||
\(31\) | −8.55402 | − | 2.77937i | −0.275936 | − | 0.0896571i | 0.167780 | − | 0.985824i | \(-0.446340\pi\) |
−0.443716 | + | 0.896167i | \(0.646340\pi\) | |||||||
\(32\) | −16.5394 | − | 27.3943i | −0.516855 | − | 0.856073i | ||||
\(33\) | −8.09353 | + | 57.1936i | −0.245258 | + | 1.73314i | ||||
\(34\) | −18.4558 | − | 14.8260i | −0.542818 | − | 0.436058i | ||||
\(35\) | −1.53086 | + | 59.4433i | −0.0437388 | + | 1.69838i | ||||
\(36\) | 8.91607 | + | 34.8784i | 0.247669 | + | 0.968845i | ||||
\(37\) | 3.43491 | + | 0.544037i | 0.0928355 | + | 0.0147037i | 0.202679 | − | 0.979245i | \(-0.435035\pi\) |
−0.109844 | + | 0.993949i | \(0.535035\pi\) | |||||||
\(38\) | −0.862827 | − | 7.91120i | −0.0227060 | − | 0.208190i | ||||
\(39\) | −32.7219 | + | 11.2323i | −0.839024 | + | 0.288007i | ||||
\(40\) | 17.6588 | + | 35.8910i | 0.441470 | + | 0.897276i | ||||
\(41\) | −31.5374 | − | 43.4075i | −0.769205 | − | 1.05872i | −0.996392 | − | 0.0848690i | \(-0.972953\pi\) |
0.227187 | − | 0.973851i | \(-0.427047\pi\) | |||||||
\(42\) | 70.7977 | − | 8.90592i | 1.68566 | − | 0.212046i | ||||
\(43\) | −27.2360 | − | 27.2360i | −0.633396 | − | 0.633396i | 0.315522 | − | 0.948918i | \(-0.397820\pi\) |
−0.948918 | + | 0.315522i | \(0.897820\pi\) | |||||||
\(44\) | 75.2072 | − | 16.6023i | 1.70926 | − | 0.377325i | ||||
\(45\) | −7.36189 | − | 44.3937i | −0.163598 | − | 0.986527i | ||||
\(46\) | 4.36845 | − | 2.86128i | 0.0949664 | − | 0.0622018i | ||||
\(47\) | 9.52895 | − | 18.7016i | 0.202744 | − | 0.397907i | −0.767139 | − | 0.641481i | \(-0.778320\pi\) |
0.969882 | + | 0.243575i | \(0.0783201\pi\) | |||||||
\(48\) | 39.3947 | − | 27.4236i | 0.820724 | − | 0.571325i | ||||
\(49\) | − | 92.4342i | − | 1.88641i | ||||||
\(50\) | −18.1413 | − | 46.5928i | −0.362826 | − | 0.931857i | ||||
\(51\) | 20.3954 | − | 29.0687i | 0.399909 | − | 0.569974i | ||||
\(52\) | 29.3091 | + | 35.6199i | 0.563637 | + | 0.684998i | ||||
\(53\) | −19.1476 | + | 37.5792i | −0.361275 | + | 0.709041i | −0.998077 | − | 0.0619856i | \(-0.980257\pi\) |
0.636802 | + | 0.771027i | \(0.280257\pi\) | |||||||
\(54\) | −51.3393 | + | 16.7414i | −0.950728 | + | 0.310026i | ||||
\(55\) | −95.4434 | + | 12.6073i | −1.73533 | + | 0.229225i | ||||
\(56\) | −44.1856 | − | 84.2580i | −0.789029 | − | 1.50461i | ||||
\(57\) | 11.7578 | − | 2.06169i | 0.206277 | − | 0.0361699i | ||||
\(58\) | 68.2749 | + | 75.2325i | 1.17715 | + | 1.29711i | ||||
\(59\) | −20.4381 | − | 28.1306i | −0.346408 | − | 0.476790i | 0.599891 | − | 0.800082i | \(-0.295211\pi\) |
−0.946299 | + | 0.323291i | \(0.895211\pi\) | |||||||
\(60\) | −52.0039 | + | 29.9264i | −0.866732 | + | 0.498773i | ||||
\(61\) | −75.2205 | − | 54.6509i | −1.23312 | − | 0.895916i | −0.236002 | − | 0.971753i | \(-0.575837\pi\) |
−0.997120 | + | 0.0758369i | \(0.975837\pi\) | |||||||
\(62\) | −17.8824 | + | 1.95033i | −0.288426 | + | 0.0314569i | ||||
\(63\) | 20.2230 | + | 105.106i | 0.321001 | + | 1.66834i | ||||
\(64\) | −52.6463 | − | 36.3918i | −0.822599 | − | 0.568622i | ||||
\(65\) | −32.6796 | − | 47.5051i | −0.502763 | − | 0.730847i | ||||
\(66\) | 32.1725 | + | 110.957i | 0.487462 | + | 1.68116i | ||||
\(67\) | −8.79124 | − | 17.2538i | −0.131213 | − | 0.257519i | 0.816048 | − | 0.577985i | \(-0.196161\pi\) |
−0.947260 | + | 0.320466i | \(0.896161\pi\) | |||||||
\(68\) | −45.8279 | − | 11.8958i | −0.673940 | − | 0.174938i | ||||
\(69\) | 4.70815 | + | 6.26031i | 0.0682341 | + | 0.0907292i | ||||
\(70\) | 45.9883 | + | 109.675i | 0.656975 | + | 1.56678i | ||||
\(71\) | 24.2323 | + | 74.5793i | 0.341300 | + | 1.05041i | 0.963535 | + | 0.267583i | \(0.0862249\pi\) |
−0.622235 | + | 0.782831i | \(0.713775\pi\) | |||||||
\(72\) | 44.8839 | + | 56.2978i | 0.623387 | + | 0.781913i | ||||
\(73\) | −43.8609 | + | 6.94688i | −0.600834 | + | 0.0951628i | −0.449440 | − | 0.893311i | \(-0.648376\pi\) |
−0.151394 | + | 0.988473i | \(0.548376\pi\) | |||||||
\(74\) | 6.71136 | − | 1.82649i | 0.0906941 | − | 0.0246823i | ||||
\(75\) | 67.9758 | − | 31.6905i | 0.906344 | − | 0.422540i | ||||
\(76\) | −8.06579 | − | 13.7211i | −0.106129 | − | 0.180541i | ||||
\(77\) | 226.167 | − | 35.8213i | 2.93723 | − | 0.465212i | ||||
\(78\) | −50.4639 | + | 47.3387i | −0.646973 | + | 0.606906i | ||||
\(79\) | −8.03440 | − | 24.7273i | −0.101701 | − | 0.313004i | 0.887241 | − | 0.461307i | \(-0.152619\pi\) |
−0.988942 | + | 0.148302i | \(0.952619\pi\) | |||||||
\(80\) | 61.6606 | + | 50.9703i | 0.770758 | + | 0.637128i | ||||
\(81\) | −30.0572 | − | 75.2168i | −0.371076 | − | 0.928602i | ||||
\(82\) | −93.1419 | − | 53.2904i | −1.13588 | − | 0.649883i | ||||
\(83\) | −29.6454 | − | 58.1824i | −0.357174 | − | 0.700993i | 0.640586 | − | 0.767886i | \(-0.278691\pi\) |
−0.997760 | + | 0.0668931i | \(0.978691\pi\) | |||||||
\(84\) | 121.819 | − | 74.3414i | 1.45023 | − | 0.885017i | ||||
\(85\) | 55.7972 | + | 19.7317i | 0.656438 | + | 0.232137i | ||||
\(86\) | −72.0260 | − | 27.3252i | −0.837512 | − | 0.317734i | ||||
\(87\) | −105.964 | + | 109.520i | −1.21798 | + | 1.25886i | ||||
\(88\) | 123.546 | − | 91.9973i | 1.40393 | − | 1.04542i | ||||
\(89\) | −70.0553 | − | 50.8982i | −0.787139 | − | 0.571890i | 0.119974 | − | 0.992777i | \(-0.461719\pi\) |
−0.907113 | + | 0.420887i | \(0.861719\pi\) | |||||||
\(90\) | −49.8577 | − | 74.9281i | −0.553974 | − | 0.832534i | ||||
\(91\) | 80.6123 | + | 110.953i | 0.885850 | + | 1.21927i | ||||
\(92\) | 5.61956 | − | 8.80351i | 0.0610822 | − | 0.0956903i | ||||
\(93\) | −4.66022 | − | 26.5772i | −0.0501099 | − | 0.285776i | ||||
\(94\) | 2.03286 | − | 41.9294i | 0.0216262 | − | 0.446057i | ||||
\(95\) | 8.57291 | + | 17.9535i | 0.0902411 | + | 0.188984i | ||||
\(96\) | 49.3474 | − | 82.3458i | 0.514035 | − | 0.857769i | ||||
\(97\) | −21.1593 | + | 41.5274i | −0.218137 | + | 0.428117i | −0.973980 | − | 0.226636i | \(-0.927227\pi\) |
0.755843 | + | 0.654753i | \(0.227227\pi\) | |||||||
\(98\) | −75.8533 | − | 168.590i | −0.774013 | − | 1.72031i | ||||
\(99\) | −162.952 | + | 58.9589i | −1.64598 | + | 0.595545i | ||||
\(100\) | −71.3228 | − | 70.0932i | −0.713228 | − | 0.700932i | ||||
\(101\) | 112.475i | 1.11361i | 0.830642 | + | 0.556807i | \(0.187974\pi\) | ||||
−0.830642 | + | 0.556807i | \(0.812026\pi\) | |||||||
\(102\) | 13.3446 | − | 69.7550i | 0.130829 | − | 0.683873i | ||||
\(103\) | 62.5558 | − | 122.773i | 0.607338 | − | 1.19197i | −0.358672 | − | 0.933464i | \(-0.616770\pi\) |
0.966010 | − | 0.258505i | \(-0.0832297\pi\) | |||||||
\(104\) | 82.6871 | + | 40.9152i | 0.795068 | + | 0.393415i | ||||
\(105\) | −159.688 | + | 79.5140i | −1.52084 | + | 0.757276i | ||||
\(106\) | −4.08485 | + | 84.2533i | −0.0385363 | + | 0.794842i | ||||
\(107\) | −54.1629 | − | 54.1629i | −0.506195 | − | 0.506195i | 0.407161 | − | 0.913356i | \(-0.366519\pi\) |
−0.913356 | + | 0.407161i | \(0.866519\pi\) | |||||||
\(108\) | −79.8991 | + | 72.6646i | −0.739806 | + | 0.672820i | ||||
\(109\) | −1.58593 | − | 2.18285i | −0.0145498 | − | 0.0200261i | 0.801680 | − | 0.597753i | \(-0.203940\pi\) |
−0.816230 | + | 0.577727i | \(0.803940\pi\) | |||||||
\(110\) | −163.733 | + | 101.317i | −1.48848 | + | 0.921065i | ||||
\(111\) | 3.38733 | + | 9.86800i | 0.0305165 | + | 0.0889009i | ||||
\(112\) | −149.734 | − | 117.418i | −1.33691 | − | 1.04837i | ||||
\(113\) | 168.469 | + | 26.6829i | 1.49088 | + | 0.236132i | 0.848066 | − | 0.529890i | \(-0.177767\pi\) |
0.642814 | + | 0.766022i | \(0.277767\pi\) | |||||||
\(114\) | 19.7531 | − | 13.4090i | 0.173273 | − | 0.117623i | ||||
\(115\) | −7.94305 | + | 10.3609i | −0.0690700 | + | 0.0900944i | ||||
\(116\) | 186.263 | + | 81.1884i | 1.60572 | + | 0.699900i | ||||
\(117\) | −75.7711 | − | 70.9277i | −0.647616 | − | 0.606219i | ||||
\(118\) | −60.3614 | − | 34.5353i | −0.511538 | − | 0.292672i | ||||
\(119\) | −133.879 | − | 43.5000i | −1.12503 | − | 0.365546i | ||||
\(120\) | −70.2914 | + | 97.2580i | −0.585762 | + | 0.810483i | ||||
\(121\) | 77.1725 | + | 237.512i | 0.637789 | + | 1.96291i | ||||
\(122\) | −182.042 | − | 37.9499i | −1.49214 | − | 0.311065i | ||||
\(123\) | 70.6995 | − | 144.606i | 0.574793 | − | 1.17566i | ||||
\(124\) | −31.0151 | + | 18.2319i | −0.250122 | + | 0.147031i | ||||
\(125\) | 81.3042 | + | 94.9454i | 0.650434 | + | 0.759563i | ||||
\(126\) | 123.136 | + | 175.106i | 0.977273 | + | 1.38973i | ||||
\(127\) | −30.4038 | + | 4.81549i | −0.239400 | + | 0.0379172i | −0.274981 | − | 0.961450i | \(-0.588672\pi\) |
0.0355815 | + | 0.999367i | \(0.488672\pi\) | |||||||
\(128\) | −125.885 | − | 23.1721i | −0.983477 | − | 0.181032i | ||||
\(129\) | 33.8894 | − | 110.471i | 0.262709 | − | 0.856368i | ||||
\(130\) | −98.5877 | − | 59.8266i | −0.758367 | − | 0.460205i | ||||
\(131\) | −3.37966 | + | 10.4015i | −0.0257989 | + | 0.0794009i | −0.963127 | − | 0.269047i | \(-0.913291\pi\) |
0.937328 | + | 0.348448i | \(0.113291\pi\) | |||||||
\(132\) | 149.733 | + | 175.972i | 1.13434 | + | 1.33312i | ||||
\(133\) | −21.4835 | − | 42.1637i | −0.161530 | − | 0.317020i | ||||
\(134\) | −30.1931 | − | 24.2548i | −0.225321 | − | 0.181006i | ||||
\(135\) | 107.301 | − | 81.9232i | 0.794825 | − | 0.606839i | ||||
\(136\) | −93.3471 | + | 15.9107i | −0.686375 | + | 0.116990i | ||||
\(137\) | −33.3730 | + | 210.709i | −0.243598 | + | 1.53802i | 0.498001 | + | 0.867176i | \(0.334068\pi\) |
−0.741599 | + | 0.670843i | \(0.765932\pi\) | |||||||
\(138\) | 13.7245 | + | 7.55453i | 0.0994529 | + | 0.0547430i | ||||
\(139\) | 88.1060 | + | 64.0127i | 0.633856 | + | 0.460523i | 0.857734 | − | 0.514094i | \(-0.171872\pi\) |
−0.223878 | + | 0.974617i | \(0.571872\pi\) | |||||||
\(140\) | 173.879 | + | 162.296i | 1.24199 | + | 1.15925i | ||||
\(141\) | 62.9594 | − | 1.03905i | 0.446520 | − | 0.00736918i | ||||
\(142\) | 105.398 | + | 116.139i | 0.742242 | + | 0.817882i | ||||
\(143\) | −157.008 | + | 157.008i | −1.09796 | + | 1.09796i | ||||
\(144\) | 128.062 | + | 65.8485i | 0.889322 | + | 0.457281i | ||||
\(145\) | −223.259 | − | 121.095i | −1.53972 | − | 0.835138i | ||||
\(146\) | −74.2968 | + | 48.6635i | −0.508882 | + | 0.333312i | ||||
\(147\) | 244.967 | − | 129.953i | 1.66644 | − | 0.884032i | ||||
\(148\) | 10.7419 | − | 8.83880i | 0.0725807 | − | 0.0597216i | ||||
\(149\) | −50.0941 | −0.336202 | −0.168101 | − | 0.985770i | \(-0.553763\pi\) | ||||
−0.168101 | + | 0.985770i | \(0.553763\pi\) | |||||||
\(150\) | 97.9747 | − | 113.582i | 0.653165 | − | 0.757216i | ||||
\(151\) | 204.982i | 1.35750i | 0.734370 | + | 0.678749i | \(0.237478\pi\) | ||||
−0.734370 | + | 0.678749i | \(0.762522\pi\) | |||||||
\(152\) | −25.9710 | − | 18.4069i | −0.170862 | − | 0.121098i | ||||
\(153\) | 105.711 | + | 13.1839i | 0.690922 | + | 0.0861691i | ||||
\(154\) | 383.108 | − | 250.931i | 2.48772 | − | 1.62942i | ||||
\(155\) | 40.5819 | − | 19.3781i | 0.261819 | − | 0.125020i | ||||
\(156\) | −53.1936 | + | 127.752i | −0.340984 | + | 0.818925i | ||||
\(157\) | 14.5950 | + | 14.5950i | 0.0929621 | + | 0.0929621i | 0.752058 | − | 0.659096i | \(-0.229061\pi\) |
−0.659096 | + | 0.752058i | \(0.729061\pi\) | |||||||
\(158\) | −34.9456 | − | 38.5068i | −0.221175 | − | 0.243714i | ||||
\(159\) | −126.511 | + | 2.08789i | −0.795667 | + | 0.0131314i | ||||
\(160\) | 154.290 | + | 42.3644i | 0.964310 | + | 0.264777i | ||||
\(161\) | 18.2520 | − | 25.1218i | 0.113367 | − | 0.156036i | ||||
\(162\) | −116.545 | − | 112.522i | −0.719416 | − | 0.694579i | ||||
\(163\) | 172.204 | + | 27.2745i | 1.05647 | + | 0.167328i | 0.660416 | − | 0.750900i | \(-0.270380\pi\) |
0.396052 | + | 0.918228i | \(0.370380\pi\) | |||||||
\(164\) | −213.612 | − | 20.7619i | −1.30251 | − | 0.126597i | ||||
\(165\) | −167.595 | − | 235.218i | −1.01573 | − | 1.42556i | ||||
\(166\) | −101.816 | − | 81.7909i | −0.613348 | − | 0.492716i | ||||
\(167\) | 111.899 | − | 57.0152i | 0.670051 | − | 0.341408i | −0.0856493 | − | 0.996325i | \(-0.527296\pi\) |
0.755701 | + | 0.654917i | \(0.227296\pi\) | |||||||
\(168\) | 161.179 | − | 235.558i | 0.959397 | − | 1.40213i | ||||
\(169\) | 34.2499 | + | 11.1285i | 0.202662 | + | 0.0658488i | ||||
\(170\) | 117.960 | − | 9.79983i | 0.693884 | − | 0.0576461i | ||||
\(171\) | 21.9941 | + | 28.2618i | 0.128620 | + | 0.165273i | ||||
\(172\) | −153.791 | + | 9.26781i | −0.894135 | + | 0.0538826i | ||||
\(173\) | 0.448375 | + | 2.83093i | 0.00259176 | + | 0.0163637i | 0.988950 | − | 0.148247i | \(-0.0473631\pi\) |
−0.986359 | + | 0.164611i | \(0.947363\pi\) | |||||||
\(174\) | −103.393 | + | 286.710i | −0.594210 | + | 1.64776i | ||||
\(175\) | −199.134 | − | 220.776i | −1.13791 | − | 1.26158i | ||||
\(176\) | 149.839 | − | 269.177i | 0.851360 | − | 1.52942i | ||||
\(177\) | 45.8175 | − | 93.7134i | 0.258856 | − | 0.529454i | ||||
\(178\) | −169.541 | − | 35.3440i | −0.952480 | − | 0.198562i | ||||
\(179\) | −178.312 | + | 57.9369i | −0.996154 | + | 0.323670i | −0.761328 | − | 0.648367i | \(-0.775452\pi\) |
−0.234826 | + | 0.972037i | \(0.575452\pi\) | |||||||
\(180\) | −152.422 | − | 95.7465i | −0.846791 | − | 0.531925i | ||||
\(181\) | −45.6665 | + | 140.547i | −0.252301 | + | 0.776502i | 0.742049 | + | 0.670346i | \(0.233854\pi\) |
−0.994349 | + | 0.106156i | \(0.966146\pi\) | |||||||
\(182\) | 238.079 | + | 136.215i | 1.30812 | + | 0.748433i | ||||
\(183\) | 39.0827 | − | 276.181i | 0.213566 | − | 1.50919i | ||||
\(184\) | 3.02514 | − | 20.6682i | 0.0164410 | − | 0.112327i | ||||
\(185\) | −14.3262 | + | 9.85524i | −0.0774388 | + | 0.0532716i | ||||
\(186\) | −30.3095 | − | 44.6497i | −0.162954 | − | 0.240052i | ||||
\(187\) | 35.6528 | − | 225.103i | 0.190657 | − | 1.20376i | ||||
\(188\) | −30.7004 | − | 78.1429i | −0.163300 | − | 0.415654i | ||||
\(189\) | −250.118 | + | 201.362i | −1.32337 | + | 1.06541i | ||||
\(190\) | 30.3691 | + | 25.7101i | 0.159837 | + | 0.135317i | ||||
\(191\) | 76.8777 | − | 55.8549i | 0.402501 | − | 0.292434i | −0.368058 | − | 0.929803i | \(-0.619977\pi\) |
0.770559 | + | 0.637369i | \(0.219977\pi\) | |||||||
\(192\) | 22.4297 | − | 190.685i | 0.116821 | − | 0.993153i | ||||
\(193\) | 259.508 | − | 259.508i | 1.34460 | − | 1.34460i | 0.453180 | − | 0.891419i | \(-0.350290\pi\) |
0.891419 | − | 0.453180i | \(-0.149710\pi\) | |||||||
\(194\) | −4.51402 | + | 93.1052i | −0.0232681 | + | 0.479923i | ||||
\(195\) | 79.9530 | − | 153.394i | 0.410016 | − | 0.786636i | ||||
\(196\) | −276.697 | − | 245.243i | −1.41172 | − | 1.25124i | ||||
\(197\) | 59.2369 | + | 30.1827i | 0.300695 | + | 0.153212i | 0.597828 | − | 0.801624i | \(-0.296031\pi\) |
−0.297133 | + | 0.954836i | \(0.596031\pi\) | |||||||
\(198\) | −248.824 | + | 241.256i | −1.25669 | + | 1.21847i | ||||
\(199\) | 218.947 | 1.10024 | 0.550118 | − | 0.835087i | \(-0.314583\pi\) | ||||
0.550118 | + | 0.835087i | \(0.314583\pi\) | |||||||
\(200\) | −187.605 | − | 69.3136i | −0.938025 | − | 0.346568i | ||||
\(201\) | 33.3661 | − | 47.5554i | 0.166000 | − | 0.236594i | ||||
\(202\) | 92.2992 | + | 205.142i | 0.456927 | + | 1.01556i | ||||
\(203\) | 538.266 | + | 274.260i | 2.65156 | + | 1.35104i | ||||
\(204\) | −32.9032 | − | 138.176i | −0.161290 | − | 0.677335i | ||||
\(205\) | 263.802 | + | 48.7749i | 1.28684 | + | 0.237926i | ||||
\(206\) | 13.3454 | − | 275.259i | 0.0647834 | − | 1.33621i | ||||
\(207\) | −9.97179 | + | 21.2788i | −0.0481729 | + | 0.102796i | ||||
\(208\) | 184.388 | + | 6.77021i | 0.886481 | + | 0.0325491i | ||||
\(209\) | 61.9826 | − | 45.0330i | 0.296568 | − | 0.215469i | ||||
\(210\) | −226.003 | + | 276.068i | −1.07620 | + | 1.31461i | ||||
\(211\) | −13.8938 | + | 19.1232i | −0.0658475 | + | 0.0906313i | −0.840671 | − | 0.541547i | \(-0.817839\pi\) |
0.774823 | + | 0.632178i | \(0.217839\pi\) | |||||||
\(212\) | 61.6896 | + | 157.021i | 0.290989 | + | 0.740665i | ||||
\(213\) | −163.581 | + | 169.071i | −0.767985 | + | 0.793759i | ||||
\(214\) | −143.234 | − | 54.3401i | −0.669320 | − | 0.253926i | ||||
\(215\) | 192.524 | + | 4.95811i | 0.895461 | + | 0.0230610i | ||||
\(216\) | −86.0973 | + | 198.099i | −0.398599 | + | 0.917126i | ||||
\(217\) | −95.3064 | + | 48.5610i | −0.439200 | + | 0.223784i | ||||
\(218\) | −4.68385 | − | 2.67983i | −0.0214856 | − | 0.0122928i | ||||
\(219\) | −80.0743 | − | 106.473i | −0.365636 | − | 0.486177i | ||||
\(220\) | −215.488 | + | 319.154i | −0.979490 | + | 1.45070i | ||||
\(221\) | 129.820 | − | 42.1810i | 0.587420 | − | 0.190864i | ||||
\(222\) | 14.2760 | + | 15.2185i | 0.0643063 | + | 0.0685517i | ||||
\(223\) | 4.02702 | + | 25.4256i | 0.0180584 | + | 0.114016i | 0.995071 | − | 0.0991656i | \(-0.0316173\pi\) |
−0.977013 | + | 0.213182i | \(0.931617\pi\) | |||||||
\(224\) | −369.454 | − | 91.2833i | −1.64935 | − | 0.407515i | ||||
\(225\) | 179.552 | + | 135.595i | 0.798011 | + | 0.602643i | ||||
\(226\) | 329.167 | − | 89.5826i | 1.45649 | − | 0.396383i | ||||
\(227\) | −28.6126 | − | 180.653i | −0.126047 | − | 0.795827i | −0.967011 | − | 0.254736i | \(-0.918011\pi\) |
0.840964 | − | 0.541091i | \(-0.181989\pi\) | |||||||
\(228\) | 25.0238 | − | 40.6663i | 0.109754 | − | 0.178361i | ||||
\(229\) | −135.020 | + | 43.8706i | −0.589607 | + | 0.191575i | −0.588600 | − | 0.808425i | \(-0.700321\pi\) |
−0.00100703 | + | 0.999999i | \(0.500321\pi\) | |||||||
\(230\) | −5.98494 | + | 25.4153i | −0.0260215 | + | 0.110501i | ||||
\(231\) | 412.900 | + | 549.022i | 1.78745 | + | 2.37672i | ||||
\(232\) | 406.349 | − | 4.77255i | 1.75150 | − | 0.0205713i | ||||
\(233\) | 139.070 | − | 70.8599i | 0.596868 | − | 0.304120i | −0.129333 | − | 0.991601i | \(-0.541284\pi\) |
0.726202 | + | 0.687481i | \(0.241284\pi\) | |||||||
\(234\) | −196.403 | − | 67.1852i | −0.839329 | − | 0.287116i | ||||
\(235\) | 29.8499 | + | 100.612i | 0.127021 | + | 0.428136i | ||||
\(236\) | −138.433 | − | 13.4549i | −0.586581 | − | 0.0570125i | ||||
\(237\) | 54.2364 | − | 56.0566i | 0.228846 | − | 0.236526i | ||||
\(238\) | −279.878 | + | 30.5246i | −1.17596 | + | 0.128255i | ||||
\(239\) | −125.626 | + | 172.910i | −0.525632 | + | 0.723471i | −0.986457 | − | 0.164020i | \(-0.947554\pi\) |
0.460825 | + | 0.887491i | \(0.347554\pi\) | |||||||
\(240\) | −48.3921 | + | 235.071i | −0.201634 | + | 0.979461i | ||||
\(241\) | 78.6801 | − | 57.1644i | 0.326473 | − | 0.237197i | −0.412459 | − | 0.910976i | \(-0.635330\pi\) |
0.738933 | + | 0.673779i | \(0.235330\pi\) | |||||||
\(242\) | 335.662 | + | 369.868i | 1.38703 | + | 1.52838i | ||||
\(243\) | 157.081 | − | 185.404i | 0.646424 | − | 0.762979i | ||||
\(244\) | −363.167 | + | 80.1704i | −1.48839 | + | 0.328567i | ||||
\(245\) | 318.282 | + | 335.109i | 1.29911 | + | 1.36779i | ||||
\(246\) | 10.2816 | − | 321.764i | 0.0417951 | − | 1.30798i | ||||
\(247\) | 40.8853 | + | 20.8321i | 0.165527 | + | 0.0843404i | ||||
\(248\) | −41.6068 | + | 58.7046i | −0.167770 | + | 0.236712i | ||||
\(249\) | 112.516 | − | 160.364i | 0.451870 | − | 0.644033i | ||||
\(250\) | 226.204 | + | 106.450i | 0.904817 | + | 0.425801i | ||||
\(251\) | −124.881 | −0.497535 | −0.248767 | − | 0.968563i | \(-0.580025\pi\) | ||||
−0.248767 | + | 0.968563i | \(0.580025\pi\) | |||||||
\(252\) | 368.283 | + | 218.326i | 1.46144 | + | 0.866374i | ||||
\(253\) | 44.7948 | + | 22.8241i | 0.177055 | + | 0.0902139i | ||||
\(254\) | −51.5015 | + | 33.7329i | −0.202762 | + | 0.132807i | ||||
\(255\) | 26.1524 | + | 175.613i | 0.102559 | + | 0.688680i | ||||
\(256\) | −248.616 | + | 61.0403i | −0.971158 | + | 0.238439i | ||||
\(257\) | −36.9115 | + | 36.9115i | −0.143624 | + | 0.143624i | −0.775263 | − | 0.631639i | \(-0.782383\pi\) |
0.631639 | + | 0.775263i | \(0.282383\pi\) | |||||||
\(258\) | −28.8443 | − | 229.298i | −0.111800 | − | 0.888753i | ||||
\(259\) | 33.4604 | − | 24.3104i | 0.129191 | − | 0.0938625i | ||||
\(260\) | −228.908 | − | 28.2144i | −0.880416 | − | 0.108517i | ||||
\(261\) | −439.224 | − | 126.850i | −1.68285 | − | 0.486016i | ||||
\(262\) | 2.37156 | + | 21.7447i | 0.00905175 | + | 0.0829949i | ||||
\(263\) | 41.1035 | − | 259.517i | 0.156287 | − | 0.986758i | −0.777488 | − | 0.628898i | \(-0.783506\pi\) |
0.933775 | − | 0.357860i | \(-0.116494\pi\) | |||||||
\(264\) | 417.502 | + | 198.080i | 1.58145 | + | 0.750304i | ||||
\(265\) | −59.9807 | − | 202.171i | −0.226342 | − | 0.762908i | ||||
\(266\) | −73.7839 | − | 59.2722i | −0.277383 | − | 0.222828i | ||||
\(267\) | 36.3990 | − | 257.217i | 0.136326 | − | 0.963359i | ||||
\(268\) | −74.9729 | − | 19.4611i | −0.279749 | − | 0.0726159i | ||||
\(269\) | −67.2949 | + | 207.112i | −0.250167 | + | 0.769934i | 0.744577 | + | 0.667537i | \(0.232651\pi\) |
−0.994744 | + | 0.102398i | \(0.967349\pi\) | |||||||
\(270\) | 128.478 | − | 237.473i | 0.475846 | − | 0.879529i | ||||
\(271\) | 184.294 | − | 59.8807i | 0.680051 | − | 0.220962i | 0.0514334 | − | 0.998676i | \(-0.483621\pi\) |
0.628618 | + | 0.777714i | \(0.283621\pi\) | |||||||
\(272\) | −157.198 | + | 105.622i | −0.577935 | + | 0.388315i | ||||
\(273\) | −180.714 | + | 369.626i | −0.661956 | + | 1.35394i | ||||
\(274\) | 112.043 | + | 411.696i | 0.408916 | + | 1.50254i | ||||
\(275\) | 302.607 | − | 374.351i | 1.10039 | − | 1.36127i | ||||
\(276\) | 31.2314 | + | 2.51605i | 0.113157 | + | 0.00911614i | ||||
\(277\) | 58.9928 | + | 372.466i | 0.212970 | + | 1.34464i | 0.830027 | + | 0.557723i | \(0.188325\pi\) |
−0.617057 | + | 0.786919i | \(0.711675\pi\) | |||||||
\(278\) | 213.226 | + | 44.4508i | 0.767000 | + | 0.159895i | ||||
\(279\) | 63.8826 | − | 49.7152i | 0.228970 | − | 0.178191i | ||||
\(280\) | 450.319 | + | 153.321i | 1.60828 | + | 0.547577i | ||||
\(281\) | −319.524 | − | 103.820i | −1.13710 | − | 0.369465i | −0.320828 | − | 0.947138i | \(-0.603961\pi\) |
−0.816269 | + | 0.577673i | \(0.803961\pi\) | |||||||
\(282\) | 113.978 | − | 53.5608i | 0.404179 | − | 0.189932i | ||||
\(283\) | 225.423 | − | 114.859i | 0.796546 | − | 0.405861i | −0.00783863 | − | 0.999969i | \(-0.502495\pi\) |
0.804385 | + | 0.594109i | \(0.202495\pi\) | |||||||
\(284\) | 287.541 | + | 125.333i | 1.01247 | + | 0.441315i | ||||
\(285\) | −35.5274 | + | 47.9605i | −0.124658 | + | 0.168282i | ||||
\(286\) | −157.522 | + | 415.210i | −0.550777 | + | 1.45178i | ||||
\(287\) | −630.238 | − | 99.8199i | −2.19595 | − | 0.347804i | ||||
\(288\) | 287.609 | + | 15.0100i | 0.998641 | + | 0.0521180i | ||||
\(289\) | 87.5173 | − | 120.457i | 0.302828 | − | 0.416807i | ||||
\(290\) | −506.574 | − | 37.6531i | −1.74681 | − | 0.129838i | ||||
\(291\) | −139.803 | + | 2.30725i | −0.480422 | + | 0.00792868i | ||||
\(292\) | −95.5752 | + | 149.726i | −0.327312 | + | 0.512762i | ||||
\(293\) | −292.172 | − | 292.172i | −0.997173 | − | 0.997173i | 0.00282349 | − | 0.999996i | \(-0.499101\pi\) |
−0.999996 | + | 0.00282349i | \(0.999101\pi\) | |||||||
\(294\) | 340.152 | − | 438.045i | 1.15698 | − | 1.48995i | ||||
\(295\) | 170.959 | + | 31.6090i | 0.579523 | + | 0.107149i | ||||
\(296\) | 12.3389 | − | 24.9361i | 0.0416853 | − | 0.0842435i | ||||
\(297\) | −385.345 | − | 348.963i | −1.29746 | − | 1.17496i | ||||
\(298\) | −91.3663 | + | 41.1082i | −0.306598 | + | 0.137947i | ||||
\(299\) | 30.1107i | 0.100705i | ||||||||
\(300\) | 85.4874 | − | 287.562i | 0.284958 | − | 0.958540i | ||||
\(301\) | −458.074 | −1.52184 | ||||||||
\(302\) | 168.212 | + | 373.865i | 0.556995 | + | 1.23797i | ||||
\(303\) | −298.079 | + | 158.128i | −0.983760 | + | 0.521875i | ||||
\(304\) | −62.4733 | − | 12.2599i | −0.205504 | − | 0.0403288i | ||||
\(305\) | 460.884 | − | 60.8794i | 1.51110 | − | 0.199604i | ||||
\(306\) | 203.624 | − | 62.7026i | 0.665439 | − | 0.204910i | ||||
\(307\) | −349.121 | + | 349.121i | −1.13720 | + | 1.13720i | −0.148252 | + | 0.988950i | \(0.547365\pi\) |
−0.988950 | + | 0.148252i | \(0.952635\pi\) | |||||||
\(308\) | 492.829 | − | 772.058i | 1.60010 | − | 2.50668i | ||||
\(309\) | 413.317 | − | 6.82121i | 1.33760 | − | 0.0220751i | ||||
\(310\) | 58.1150 | − | 68.6460i | 0.187468 | − | 0.221439i | ||||
\(311\) | −285.733 | − | 207.597i | −0.918755 | − | 0.667515i | 0.0244585 | − | 0.999701i | \(-0.492214\pi\) |
−0.943214 | + | 0.332186i | \(0.892214\pi\) | |||||||
\(312\) | 7.81670 | + | 276.658i | 0.0250535 | + | 0.886725i | ||||
\(313\) | −42.8290 | + | 270.412i | −0.136834 | + | 0.863936i | 0.819801 | + | 0.572648i | \(0.194084\pi\) |
−0.956635 | + | 0.291288i | \(0.905916\pi\) | |||||||
\(314\) | 38.5968 | + | 14.6428i | 0.122920 | + | 0.0466331i | ||||
\(315\) | −435.231 | − | 311.413i | −1.38169 | − | 0.988614i | ||||
\(316\) | −95.3365 | − | 41.5552i | −0.301698 | − | 0.131504i | ||||
\(317\) | 12.6930 | + | 24.9115i | 0.0400411 | + | 0.0785851i | 0.910160 | − | 0.414256i | \(-0.135958\pi\) |
−0.870119 | + | 0.492841i | \(0.835958\pi\) | |||||||
\(318\) | −229.029 | + | 107.626i | −0.720218 | + | 0.338445i | ||||
\(319\) | −302.241 | + | 930.203i | −0.947464 | + | 2.91600i | ||||
\(320\) | 316.173 | − | 49.3450i | 0.988039 | − | 0.154203i | ||||
\(321\) | 67.3942 | − | 219.689i | 0.209951 | − | 0.684389i | ||||
\(322\) | 12.6743 | − | 60.7973i | 0.0393612 | − | 0.188812i | ||||
\(323\) | −46.5189 | + | 7.36787i | −0.144021 | + | 0.0228107i | ||||
\(324\) | −304.904 | − | 109.588i | −0.941062 | − | 0.338235i | ||||
\(325\) | 282.052 | + | 59.6972i | 0.867853 | + | 0.183684i | ||||
\(326\) | 336.464 | − | 91.5685i | 1.03210 | − | 0.280885i | ||||
\(327\) | 3.55529 | − | 7.27185i | 0.0108724 | − | 0.0222381i | ||||
\(328\) | −406.643 | + | 137.427i | −1.23977 | + | 0.418984i | ||||
\(329\) | −77.1361 | − | 237.401i | −0.234456 | − | 0.721582i | ||||
\(330\) | −498.700 | − | 291.480i | −1.51121 | − | 0.883272i | ||||
\(331\) | −308.657 | − | 100.289i | −0.932499 | − | 0.302987i | −0.196915 | − | 0.980421i | \(-0.563092\pi\) |
−0.735584 | + | 0.677433i | \(0.763092\pi\) | |||||||
\(332\) | −252.820 | − | 65.6257i | −0.761506 | − | 0.197668i | ||||
\(333\) | −21.3898 | + | 22.8504i | −0.0642335 | + | 0.0686199i | ||||
\(334\) | 157.303 | − | 195.816i | 0.470968 | − | 0.586275i | ||||
\(335\) | 91.2823 | + | 32.2803i | 0.272484 | + | 0.0963592i | ||||
\(336\) | 100.669 | − | 561.899i | 0.299611 | − | 1.67232i | ||||
\(337\) | 237.916 | + | 37.6821i | 0.705981 | + | 0.111816i | 0.499093 | − | 0.866548i | \(-0.333666\pi\) |
0.206888 | + | 0.978365i | \(0.433666\pi\) | |||||||
\(338\) | 71.6003 | − | 7.80901i | 0.211835 | − | 0.0231036i | ||||
\(339\) | 166.136 | + | 483.988i | 0.490076 | + | 1.42769i | ||||
\(340\) | 207.105 | − | 114.674i | 0.609132 | − | 0.337278i | ||||
\(341\) | −101.792 | − | 140.105i | −0.298511 | − | 0.410865i | ||||
\(342\) | 63.3069 | + | 33.4977i | 0.185108 | + | 0.0979464i | ||||
\(343\) | −365.253 | − | 365.253i | −1.06488 | − | 1.06488i | ||||
\(344\) | −272.893 | + | 143.108i | −0.793295 | + | 0.416011i | ||||
\(345\) | −38.6252 | − | 6.48425i | −0.111957 | − | 0.0187949i | ||||
\(346\) | 3.14090 | + | 4.79536i | 0.00907776 | + | 0.0138594i | ||||
\(347\) | 59.6991 | − | 117.166i | 0.172043 | − | 0.337654i | −0.788844 | − | 0.614593i | \(-0.789320\pi\) |
0.960887 | + | 0.276939i | \(0.0893201\pi\) | |||||||
\(348\) | 46.7027 | + | 607.774i | 0.134203 | + | 1.74648i | ||||
\(349\) | − | 381.550i | − | 1.09327i | −0.837372 | − | 0.546633i | \(-0.815909\pi\) | ||
0.837372 | − | 0.546633i | \(-0.184091\pi\) | |||||||
\(350\) | −544.372 | − | 239.259i | −1.55535 | − | 0.683597i | ||||
\(351\) | 81.4450 | − | 300.524i | 0.232037 | − | 0.856194i | ||||
\(352\) | 52.3986 | − | 613.912i | 0.148860 | − | 1.74407i | ||||
\(353\) | −22.0371 | + | 43.2502i | −0.0624279 | + | 0.122522i | −0.920112 | − | 0.391655i | \(-0.871903\pi\) |
0.857684 | + | 0.514177i | \(0.171903\pi\) | |||||||
\(354\) | 6.66308 | − | 208.522i | 0.0188223 | − | 0.589045i | ||||
\(355\) | −344.653 | − | 186.939i | −0.970855 | − | 0.526588i | ||||
\(356\) | −338.229 | + | 74.6654i | −0.950082 | + | 0.209734i | ||||
\(357\) | −72.9371 | − | 415.960i | −0.204306 | − | 1.16515i | ||||
\(358\) | −277.677 | + | 251.997i | −0.775634 | + | 0.703901i | ||||
\(359\) | −210.482 | − | 289.704i | −0.586301 | − | 0.806975i | 0.408067 | − | 0.912952i | \(-0.366203\pi\) |
−0.994369 | + | 0.105977i | \(0.966203\pi\) | |||||||
\(360\) | −356.574 | − | 49.5505i | −0.990482 | − | 0.137640i | ||||
\(361\) | 279.246 | + | 202.884i | 0.773535 | + | 0.562006i | ||||
\(362\) | 32.0449 | + | 293.817i | 0.0885217 | + | 0.811650i | ||||
\(363\) | −520.955 | + | 538.438i | −1.43514 | + | 1.48330i | ||||
\(364\) | 546.010 | + | 53.0692i | 1.50003 | + | 0.145795i | ||||
\(365\) | 135.092 | − | 176.213i | 0.370115 | − | 0.482776i | ||||
\(366\) | −155.357 | − | 535.797i | −0.424473 | − | 1.46393i | ||||
\(367\) | 144.088 | + | 282.788i | 0.392610 | + | 0.770540i | 0.999710 | − | 0.0240856i | \(-0.00766741\pi\) |
−0.607100 | + | 0.794625i | \(0.707667\pi\) | |||||||
\(368\) | −11.4432 | − | 40.1790i | −0.0310956 | − | 0.109182i | ||||
\(369\) | 482.629 | − | 15.9345i | 1.30794 | − | 0.0431831i | ||||
\(370\) | −18.0420 | + | 29.7312i | −0.0487622 | + | 0.0803547i | ||||
\(371\) | 154.998 | + | 477.035i | 0.417784 | + | 1.28581i | ||||
\(372\) | −91.9217 | − | 56.5637i | −0.247101 | − | 0.152053i | ||||
\(373\) | 186.240 | − | 29.4976i | 0.499304 | − | 0.0790820i | 0.0982974 | − | 0.995157i | \(-0.468660\pi\) |
0.401007 | + | 0.916075i | \(0.368660\pi\) | |||||||
\(374\) | −119.697 | − | 439.821i | −0.320046 | − | 1.17599i | ||||
\(375\) | −137.317 | + | 348.954i | −0.366179 | + | 0.930544i | ||||
\(376\) | −120.120 | − | 117.331i | −0.319467 | − | 0.312050i | ||||
\(377\) | −578.582 | + | 91.6383i | −1.53470 | + | 0.243072i | ||||
\(378\) | −290.946 | + | 572.514i | −0.769698 | + | 1.51459i | ||||
\(379\) | −102.810 | − | 316.417i | −0.271267 | − | 0.834875i | −0.990183 | − | 0.139777i | \(-0.955361\pi\) |
0.718916 | − | 0.695097i | \(-0.244639\pi\) | |||||||
\(380\) | 76.4881 | + | 21.9711i | 0.201285 | + | 0.0578186i | ||||
\(381\) | −55.5064 | − | 73.8055i | −0.145686 | − | 0.193715i | ||||
\(382\) | 94.3810 | − | 164.961i | 0.247071 | − | 0.431834i | ||||
\(383\) | 316.729 | + | 621.616i | 0.826969 | + | 1.62302i | 0.781378 | + | 0.624057i | \(0.214517\pi\) |
0.0455903 | + | 0.998960i | \(0.485483\pi\) | |||||||
\(384\) | −115.571 | − | 366.196i | −0.300966 | − | 0.953635i | ||||
\(385\) | −696.597 | + | 908.636i | −1.80934 | + | 2.36009i | ||||
\(386\) | 260.357 | − | 686.271i | 0.674500 | − | 1.77790i | ||||
\(387\) | 340.414 | − | 65.4980i | 0.879623 | − | 0.169245i | ||||
\(388\) | 68.1708 | + | 173.518i | 0.175698 | + | 0.447212i | ||||
\(389\) | 209.418 | + | 152.151i | 0.538350 | + | 0.391134i | 0.823472 | − | 0.567357i | \(-0.192034\pi\) |
−0.285122 | + | 0.958491i | \(0.592034\pi\) | |||||||
\(390\) | 19.9476 | − | 345.385i | 0.0511476 | − | 0.885603i | ||||
\(391\) | −18.1662 | − | 25.0036i | −0.0464608 | − | 0.0639477i | ||||
\(392\) | −705.916 | − | 220.235i | −1.80081 | − | 0.561823i | ||||
\(393\) | −32.3173 | + | 5.66673i | −0.0822324 | + | 0.0144192i | ||||
\(394\) | 132.810 | + | 6.43904i | 0.337082 | + | 0.0163427i | ||||
\(395\) | 114.272 | + | 61.9809i | 0.289297 | + | 0.156914i | ||||
\(396\) | −255.849 | + | 644.216i | −0.646083 | + | 1.62681i | ||||
\(397\) | 336.205 | − | 659.840i | 0.846865 | − | 1.66207i | 0.102065 | − | 0.994778i | \(-0.467455\pi\) |
0.744800 | − | 0.667288i | \(-0.232545\pi\) | |||||||
\(398\) | 399.336 | − | 179.672i | 1.00336 | − | 0.451438i | ||||
\(399\) | 81.5379 | − | 116.213i | 0.204356 | − | 0.291260i | ||||
\(400\) | −399.051 | + | 27.5318i | −0.997628 | + | 0.0688295i | ||||
\(401\) | − | 133.375i | − | 0.332605i | −0.986075 | − | 0.166303i | \(-0.946817\pi\) | ||
0.986075 | − | 0.166303i | \(-0.0531828\pi\) | |||||||
\(402\) | 21.8313 | − | 114.117i | 0.0543067 | − | 0.283873i | ||||
\(403\) | 47.0887 | − | 92.4167i | 0.116845 | − | 0.229322i | ||||
\(404\) | 336.688 | + | 298.415i | 0.833386 | + | 0.738651i | ||||
\(405\) | 367.966 | + | 169.193i | 0.908558 | + | 0.417760i | ||||
\(406\) | 1206.80 | + | 58.5095i | 2.97242 | + | 0.144112i | ||||
\(407\) | 47.3492 | + | 47.3492i | 0.116337 | + | 0.116337i | ||||
\(408\) | −173.402 | − | 225.018i | −0.425006 | − | 0.551514i | ||||
\(409\) | −42.7537 | − | 58.8455i | −0.104532 | − | 0.143876i | 0.753546 | − | 0.657395i | \(-0.228342\pi\) |
−0.858078 | + | 0.513519i | \(0.828342\pi\) | |||||||
\(410\) | 521.172 | − | 127.521i | 1.27115 | − | 0.311027i | ||||
\(411\) | −605.335 | + | 207.790i | −1.47283 | + | 0.505571i | ||||
\(412\) | −201.542 | − | 512.994i | −0.489180 | − | 1.24513i | ||||
\(413\) | −408.431 | − | 64.6891i | −0.988938 | − | 0.156632i | ||||
\(414\) | −0.725677 | + | 46.9933i | −0.00175284 | + | 0.113510i | ||||
\(415\) | 307.818 | + | 108.854i | 0.741730 | + | 0.262299i | ||||
\(416\) | 341.860 | − | 138.964i | 0.821778 | − | 0.334049i | ||||
\(417\) | −45.7777 | + | 323.492i | −0.109779 | + | 0.775760i | ||||
\(418\) | 76.0947 | − | 133.000i | 0.182045 | − | 0.318181i | ||||
\(419\) | 236.427 | + | 76.8199i | 0.564265 | + | 0.183341i | 0.577240 | − | 0.816575i | \(-0.304130\pi\) |
−0.0129741 | + | 0.999916i | \(0.504130\pi\) | |||||||
\(420\) | −185.658 | + | 688.981i | −0.442042 | + | 1.64043i | ||||
\(421\) | 137.074 | + | 421.872i | 0.325593 | + | 1.00207i | 0.971172 | + | 0.238378i | \(0.0766158\pi\) |
−0.645580 | + | 0.763693i | \(0.723384\pi\) | |||||||
\(422\) | −9.64796 | + | 46.2802i | −0.0228625 | + | 0.109669i | ||||
\(423\) | 91.2679 | + | 165.393i | 0.215763 | + | 0.391000i | ||||
\(424\) | 241.370 | + | 235.766i | 0.569268 | + | 0.556051i | ||||
\(425\) | −270.229 | + | 120.594i | −0.635833 | + | 0.283750i | ||||
\(426\) | −159.611 | + | 442.604i | −0.374674 | + | 1.03898i | ||||
\(427\) | −1092.13 | + | 172.977i | −2.55769 | + | 0.405098i | ||||
\(428\) | −305.837 | + | 18.4304i | −0.714572 | + | 0.0430617i | ||||
\(429\) | −636.837 | − | 195.363i | −1.48447 | − | 0.455392i | ||||
\(430\) | 355.212 | − | 148.946i | 0.826074 | − | 0.346386i | ||||
\(431\) | −255.471 | + | 786.259i | −0.592740 | + | 1.82427i | −0.0270725 | + | 0.999633i | \(0.508619\pi\) |
−0.565668 | + | 0.824633i | \(0.691381\pi\) | |||||||
\(432\) | 5.53185 | + | 431.965i | 0.0128052 | + | 0.999918i | ||||
\(433\) | −52.8767 | − | 103.776i | −0.122117 | − | 0.239668i | 0.821853 | − | 0.569700i | \(-0.192941\pi\) |
−0.943970 | + | 0.330032i | \(0.892941\pi\) | |||||||
\(434\) | −133.978 | + | 166.780i | −0.308706 | + | 0.384287i | ||||
\(435\) | 7.04453 | − | 761.924i | 0.0161943 | − | 1.75155i | ||||
\(436\) | −10.7420 | − | 1.04406i | −0.0246375 | − | 0.00239463i | ||||
\(437\) | 1.62528 | − | 10.2616i | 0.00371917 | − | 0.0234819i | ||||
\(438\) | −233.421 | − | 128.484i | −0.532924 | − | 0.293343i | ||||
\(439\) | −203.336 | − | 147.732i | −0.463180 | − | 0.336520i | 0.331598 | − | 0.943421i | \(-0.392412\pi\) |
−0.794777 | + | 0.606901i | \(0.792412\pi\) | |||||||
\(440\) | −131.123 | + | 758.936i | −0.298006 | + | 1.72485i | ||||
\(441\) | 688.796 | + | 466.508i | 1.56190 | + | 1.05784i | ||||
\(442\) | 202.163 | − | 183.466i | 0.457382 | − | 0.415082i | ||||
\(443\) | 382.032 | − | 382.032i | 0.862376 | − | 0.862376i | −0.129238 | − | 0.991614i | \(-0.541253\pi\) |
0.991614 | + | 0.129238i | \(0.0412531\pi\) | |||||||
\(444\) | 38.5265 | + | 16.0417i | 0.0867713 | + | 0.0361299i | ||||
\(445\) | 429.237 | − | 56.6990i | 0.964578 | − | 0.127413i | ||||
\(446\) | 28.2096 | + | 43.0689i | 0.0632503 | + | 0.0965671i | ||||
\(447\) | −70.4270 | − | 132.758i | −0.157555 | − | 0.296999i | ||||
\(448\) | −748.752 | + | 136.690i | −1.67132 | + | 0.305111i | ||||
\(449\) | −198.691 | −0.442519 | −0.221260 | − | 0.975215i | \(-0.571017\pi\) | ||||
−0.221260 | + | 0.975215i | \(0.571017\pi\) | |||||||
\(450\) | 438.756 | + | 99.9660i | 0.975013 | + | 0.222147i | ||||
\(451\) | − | 1033.09i | − | 2.29067i | ||||||
\(452\) | 526.852 | − | 433.510i | 1.16560 | − | 0.959092i | ||||
\(453\) | −543.240 | + | 288.183i | −1.19921 | + | 0.636166i | ||||
\(454\) | −200.434 | − | 306.011i | −0.441483 | − | 0.674033i | ||||
\(455\) | −674.301 | − | 124.673i | −1.48198 | − | 0.274006i | ||||
\(456\) | 12.2692 | − | 94.7060i | 0.0269062 | − | 0.207689i | ||||
\(457\) | −457.306 | − | 457.306i | −1.00067 | − | 1.00067i | −1.00000 | 0.000669460i | \(-0.999787\pi\) | |
−0.000669460 | − | 1.00000i | \(-0.500213\pi\) | |||||||
\(458\) | −210.261 | + | 190.815i | −0.459085 | + | 0.416627i | ||||
\(459\) | 113.679 | + | 298.688i | 0.247666 | + | 0.650737i | ||||
\(460\) | 9.94042 | + | 51.2662i | 0.0216096 | + | 0.111448i | ||||
\(461\) | −128.211 | + | 176.467i | −0.278115 | + | 0.382793i | −0.925108 | − | 0.379703i | \(-0.876026\pi\) |
0.646993 | + | 0.762496i | \(0.276026\pi\) | |||||||
\(462\) | 1203.62 | + | 662.524i | 2.60525 | + | 1.43403i | ||||
\(463\) | 704.464 | + | 111.576i | 1.52152 | + | 0.240985i | 0.860526 | − | 0.509407i | \(-0.170135\pi\) |
0.660994 | + | 0.750392i | \(0.270135\pi\) | |||||||
\(464\) | 737.220 | − | 342.163i | 1.58884 | − | 0.737420i | ||||
\(465\) | 108.409 | + | 80.3059i | 0.233139 | + | 0.172701i | ||||
\(466\) | 195.500 | − | 243.365i | 0.419529 | − | 0.522242i | ||||
\(467\) | −343.972 | + | 175.263i | −0.736557 | + | 0.375295i | −0.781674 | − | 0.623687i | \(-0.785634\pi\) |
0.0451170 | + | 0.998982i | \(0.485634\pi\) | |||||||
\(468\) | −413.351 | + | 38.6336i | −0.883229 | + | 0.0825505i | ||||
\(469\) | −219.022 | − | 71.1644i | −0.466997 | − | 0.151737i | ||||
\(470\) | 137.007 | + | 159.010i | 0.291505 | + | 0.338319i | ||||
\(471\) | −18.1604 | + | 59.1986i | −0.0385572 | + | 0.125687i | ||||
\(472\) | −263.529 | + | 89.0606i | −0.558323 | + | 0.188688i | ||||
\(473\) | −116.017 | − | 732.505i | −0.245280 | − | 1.54864i | ||||
\(474\) | 52.9202 | − | 146.749i | 0.111646 | − | 0.309596i | ||||
\(475\) | −92.9001 | − | 35.5688i | −0.195579 | − | 0.0748818i | ||||
\(476\) | −485.418 | + | 285.347i | −1.01979 | + | 0.599468i | ||||
\(477\) | −183.395 | − | 332.342i | −0.384475 | − | 0.696734i | ||||
\(478\) | −87.2356 | + | 418.460i | −0.182501 | + | 0.875439i | ||||
\(479\) | −874.536 | + | 284.154i | −1.82575 | + | 0.593224i | −0.826200 | + | 0.563377i | \(0.809502\pi\) |
−0.999554 | + | 0.0298470i | \(0.990498\pi\) | |||||||
\(480\) | 104.642 | + | 468.455i | 0.218003 | + | 0.975948i | ||||
\(481\) | −12.3932 | + | 38.1424i | −0.0257655 | + | 0.0792981i | ||||
\(482\) | 96.5938 | − | 168.828i | 0.200402 | − | 0.350266i | ||||
\(483\) | 92.2376 | + | 13.0526i | 0.190968 | + | 0.0270241i | ||||
\(484\) | 915.732 | + | 399.149i | 1.89201 | + | 0.824687i | ||||
\(485\) | −66.2825 | − | 223.411i | −0.136665 | − | 0.460642i | ||||
\(486\) | 134.353 | − | 467.060i | 0.276446 | − | 0.961029i | ||||
\(487\) | 22.2255 | − | 140.326i | 0.0456375 | − | 0.288144i | −0.954305 | − | 0.298833i | \(-0.903403\pi\) |
0.999943 | + | 0.0106893i | \(0.00340258\pi\) | |||||||
\(488\) | −596.587 | + | 444.244i | −1.22252 | + | 0.910336i | ||||
\(489\) | 169.819 | + | 494.717i | 0.347277 | + | 1.01169i | ||||
\(490\) | 855.510 | + | 350.014i | 1.74594 | + | 0.714315i | ||||
\(491\) | 334.161 | − | 242.782i | 0.680571 | − | 0.494464i | −0.192976 | − | 0.981204i | \(-0.561814\pi\) |
0.873547 | + | 0.486739i | \(0.161814\pi\) | |||||||
\(492\) | −245.293 | − | 595.300i | −0.498563 | − | 1.20996i | ||||
\(493\) | 425.161 | − | 425.161i | 0.862396 | − | 0.862396i | ||||
\(494\) | 91.6655 | + | 4.44422i | 0.185558 | + | 0.00899640i | ||||
\(495\) | 387.748 | − | 774.849i | 0.783330 | − | 1.56535i | ||||
\(496\) | −27.7123 | + | 141.214i | −0.0558715 | + | 0.284706i | ||||
\(497\) | 830.941 | + | 423.386i | 1.67191 | + | 0.851883i | ||||
\(498\) | 73.6185 | − | 384.819i | 0.147828 | − | 0.772730i | ||||
\(499\) | −79.3299 | −0.158978 | −0.0794889 | − | 0.996836i | \(-0.525329\pi\) | ||||
−0.0794889 | + | 0.996836i | \(0.525329\pi\) | |||||||
\(500\) | 499.927 | + | 8.52613i | 0.999855 | + | 0.0170523i | ||||
\(501\) | 308.418 | + | 216.394i | 0.615605 | + | 0.431925i | ||||
\(502\) | −227.770 | + | 102.480i | −0.453725 | + | 0.204143i | ||||
\(503\) | 675.480 | + | 344.174i | 1.34290 | + | 0.684243i | 0.969881 | − | 0.243579i | \(-0.0783217\pi\) |
0.373022 | + | 0.927823i | \(0.378322\pi\) | |||||||
\(504\) | 850.871 | + | 95.9833i | 1.68824 | + | 0.190443i | ||||
\(505\) | −387.290 | − | 407.765i | −0.766911 | − | 0.807456i | ||||
\(506\) | 100.431 | + | 4.86919i | 0.198480 | + | 0.00962291i | ||||
\(507\) | 18.6593 | + | 106.414i | 0.0368033 | + | 0.209889i | ||||
\(508\) | −66.2514 | + | 103.788i | −0.130416 | + | 0.204308i | ||||
\(509\) | −1.62784 | + | 1.18270i | −0.00319812 | + | 0.00232357i | −0.589383 | − | 0.807854i | \(-0.700629\pi\) |
0.586185 | + | 0.810177i | \(0.300629\pi\) | |||||||
\(510\) | 191.811 | + | 298.839i | 0.376100 | + | 0.585958i | ||||
\(511\) | −310.423 | + | 427.260i | −0.607481 | + | 0.836126i | ||||
\(512\) | −403.359 | + | 315.350i | −0.787810 | + | 0.615919i | ||||
\(513\) | −43.9775 | + | 98.0213i | −0.0857261 | + | 0.191075i | ||||
\(514\) | −37.0323 | + | 97.6129i | −0.0720472 | + | 0.189908i | ||||
\(515\) | 195.960 | + | 660.499i | 0.380504 | + | 1.28252i | ||||
\(516\) | −240.776 | − | 394.545i | −0.466620 | − | 0.764622i | ||||
\(517\) | 360.090 | − | 183.475i | 0.696499 | − | 0.354884i | ||||
\(518\) | 41.0785 | − | 71.7978i | 0.0793022 | − | 0.138606i | ||||
\(519\) | −6.87211 | + | 5.16826i | −0.0132411 | + | 0.00995812i | ||||
\(520\) | −440.657 | + | 136.387i | −0.847418 | + | 0.262282i | ||||
\(521\) | −458.765 | + | 149.062i | −0.880547 | + | 0.286107i | −0.714185 | − | 0.699957i | \(-0.753202\pi\) |
−0.166363 | + | 0.986065i | \(0.553202\pi\) | |||||||
\(522\) | −905.192 | + | 129.075i | −1.73408 | + | 0.247269i | ||||
\(523\) | 92.7828 | + | 585.808i | 0.177405 | + | 1.12009i | 0.902261 | + | 0.431190i | \(0.141906\pi\) |
−0.724856 | + | 0.688900i | \(0.758094\pi\) | |||||||
\(524\) | 22.1696 | + | 37.7138i | 0.0423083 | + | 0.0719728i | ||||
\(525\) | 305.136 | − | 838.128i | 0.581211 | − | 1.59644i | ||||
\(526\) | −137.997 | − | 507.062i | −0.262351 | − | 0.963996i | ||||
\(527\) | 16.6543 | + | 105.151i | 0.0316020 | + | 0.199527i | ||||
\(528\) | 924.027 | + | 18.6666i | 1.75005 | + | 0.0353534i | ||||
\(529\) | −496.625 | + | 161.363i | −0.938800 | + | 0.305034i | ||||
\(530\) | −275.304 | − | 319.516i | −0.519441 | − | 0.602860i | ||||
\(531\) | 312.772 | − | 10.3265i | 0.589024 | − | 0.0194473i | ||||
\(532\) | −183.214 | − | 47.5577i | −0.344387 | − | 0.0893942i | ||||
\(533\) | 551.307 | − | 280.905i | 1.03435 | − | 0.527027i | ||||
\(534\) | −144.689 | − | 499.005i | −0.270954 | − | 0.934467i | ||||
\(535\) | 382.863 | + | 9.85994i | 0.715631 | + | 0.0184298i | ||||
\(536\) | −152.713 | + | 26.0293i | −0.284912 | + | 0.0485622i | ||||
\(537\) | −404.231 | − | 391.105i | −0.752757 | − | 0.728314i | ||||
\(538\) | 47.2219 | + | 432.974i | 0.0877730 | + | 0.804785i | ||||
\(539\) | 1046.12 | − | 1439.87i | 1.94086 | − | 2.67137i | ||||
\(540\) | 39.4558 | − | 538.557i | 0.0730663 | − | 0.997327i | ||||
\(541\) | −150.386 | + | 109.262i | −0.277977 | + | 0.201962i | −0.718035 | − | 0.696007i | \(-0.754958\pi\) |
0.440057 | + | 0.897970i | \(0.354958\pi\) | |||||||
\(542\) | 286.993 | − | 260.451i | 0.529507 | − | 0.480537i | ||||
\(543\) | −436.677 | + | 76.5697i | −0.804194 | + | 0.141012i | ||||
\(544\) | −200.038 | + | 321.643i | −0.367716 | + | 0.591255i | ||||
\(545\) | 13.2659 | + | 2.45275i | 0.0243411 | + | 0.00450047i | ||||
\(546\) | −26.2806 | + | 822.455i | −0.0481330 | + | 1.50633i | ||||
\(547\) | 153.218 | + | 78.0687i | 0.280107 | + | 0.142721i | 0.588400 | − | 0.808570i | \(-0.299758\pi\) |
−0.308294 | + | 0.951291i | \(0.599758\pi\) | |||||||
\(548\) | 542.201 | + | 658.945i | 0.989417 | + | 1.20245i | ||||
\(549\) | 786.876 | − | 284.705i | 1.43329 | − | 0.518589i | ||||
\(550\) | 244.724 | − | 931.101i | 0.444953 | − | 1.69291i | ||||
\(551\) | 202.125 | 0.366833 | ||||||||
\(552\) | 59.0274 | − | 21.0401i | 0.106934 | − | 0.0381161i | ||||
\(553\) | −275.505 | − | 140.377i | −0.498200 | − | 0.253846i | ||||
\(554\) | 413.249 | + | 630.927i | 0.745937 | + | 1.13886i | ||||
\(555\) | −46.2593 | − | 24.1116i | −0.0833500 | − | 0.0434443i | ||||
\(556\) | 425.378 | − | 93.9039i | 0.765069 | − | 0.168892i | ||||
\(557\) | 18.7476 | − | 18.7476i | 0.0336582 | − | 0.0336582i | −0.690077 | − | 0.723736i | \(-0.742424\pi\) |
0.723736 | + | 0.690077i | \(0.242424\pi\) | |||||||
\(558\) | 75.7178 | − | 143.098i | 0.135695 | − | 0.256449i | ||||
\(559\) | 359.354 | − | 261.086i | 0.642851 | − | 0.467058i | ||||
\(560\) | 947.152 | − | 89.8989i | 1.69134 | − | 0.160534i | ||||
\(561\) | 646.688 | − | 221.985i | 1.15274 | − | 0.395694i | ||||
\(562\) | −667.974 | + | 72.8519i | −1.18857 | + | 0.129630i | ||||
\(563\) | 25.3226 | − | 159.880i | 0.0449779 | − | 0.283979i | −0.954940 | − | 0.296799i | \(-0.904081\pi\) |
0.999918 | + | 0.0128199i | \(0.00408080\pi\) | |||||||
\(564\) | 163.931 | − | 191.222i | 0.290658 | − | 0.339046i | ||||
\(565\) | −702.645 | + | 483.362i | −1.24362 | + | 0.855508i | ||||
\(566\) | 316.891 | − | 394.476i | 0.559879 | − | 0.696954i | ||||
\(567\) | −885.285 | − | 379.763i | −1.56135 | − | 0.669776i | ||||
\(568\) | 627.296 | − | 7.36755i | 1.10439 | − | 0.0129710i | ||||
\(569\) | −170.989 | + | 526.251i | −0.300508 | + | 0.924870i | 0.680807 | + | 0.732463i | \(0.261629\pi\) |
−0.981315 | + | 0.192407i | \(0.938371\pi\) | |||||||
\(570\) | −25.4408 | + | 116.629i | −0.0446331 | + | 0.204613i | ||||
\(571\) | 1006.11 | − | 326.904i | 1.76201 | − | 0.572512i | 0.764605 | − | 0.644500i | \(-0.222934\pi\) |
0.997405 | + | 0.0719880i | \(0.0229343\pi\) | |||||||
\(572\) | 53.4264 | + | 886.565i | 0.0934028 | + | 1.54994i | ||||
\(573\) | 256.108 | + | 125.214i | 0.446959 | + | 0.218523i | ||||
\(574\) | −1231.40 | + | 335.125i | −2.14530 | + | 0.583841i | ||||
\(575\) | −6.87937 | − | 64.9127i | −0.0119641 | − | 0.112892i | ||||
\(576\) | 536.885 | − | 208.641i | 0.932091 | − | 0.362223i | ||||
\(577\) | 132.330 | + | 835.499i | 0.229342 | + | 1.44801i | 0.786495 | + | 0.617596i | \(0.211893\pi\) |
−0.557154 | + | 0.830409i | \(0.688107\pi\) | |||||||
\(578\) | 60.7726 | − | 291.520i | 0.105143 | − | 0.504359i | ||||
\(579\) | 1052.58 | + | 322.902i | 1.81793 | + | 0.557689i | ||||
\(580\) | −954.835 | + | 347.029i | −1.64627 | + | 0.598326i | ||||
\(581\) | −738.575 | − | 239.977i | −1.27121 | − | 0.413042i | ||||
\(582\) | −253.092 | + | 118.933i | −0.434866 | + | 0.204352i | ||||
\(583\) | −723.568 | + | 368.676i | −1.24111 | + | 0.632378i | ||||
\(584\) | −51.4504 | + | 351.516i | −0.0881000 | + | 0.601910i | ||||
\(585\) | 518.927 | − | 3.76573i | 0.887055 | − | 0.00643715i | ||||
\(586\) | −772.651 | − | 293.128i | −1.31852 | − | 0.500218i | ||||
\(587\) | −137.245 | − | 21.7375i | −0.233808 | − | 0.0370316i | 0.0384308 | − | 0.999261i | \(-0.487764\pi\) |
−0.272239 | + | 0.962230i | \(0.587764\pi\) | |||||||
\(588\) | 260.933 | − | 1078.08i | 0.443764 | − | 1.83347i | ||||
\(589\) | −21.0360 | + | 28.9536i | −0.0357148 | + | 0.0491571i | ||||
\(590\) | 337.750 | − | 82.6412i | 0.572458 | − | 0.140070i | ||||
\(591\) | 3.29118 | + | 199.422i | 0.00556883 | + | 0.337432i | ||||
\(592\) | 2.04170 | − | 55.6062i | 0.00344882 | − | 0.0939294i | ||||
\(593\) | 724.123 | + | 724.123i | 1.22112 | + | 1.22112i | 0.967235 | + | 0.253884i | \(0.0817082\pi\) |
0.253884 | + | 0.967235i | \(0.418292\pi\) | |||||||
\(594\) | −989.194 | − | 320.249i | −1.66531 | − | 0.539139i | ||||
\(595\) | 635.148 | − | 303.287i | 1.06748 | − | 0.509727i | ||||
\(596\) | −132.908 | + | 149.954i | −0.223000 | + | 0.251601i | ||||
\(597\) | 307.816 | + | 580.249i | 0.515605 | + | 0.971942i | ||||
\(598\) | 24.7094 | + | 54.9186i | 0.0413201 | + | 0.0918372i | ||||
\(599\) | 356.509i | 0.595174i | 0.954695 | + | 0.297587i | \(0.0961818\pi\) | ||||
−0.954695 | + | 0.297587i | \(0.903818\pi\) | |||||||
\(600\) | −80.0592 | − | 594.635i | −0.133432 | − | 0.991058i | ||||
\(601\) | 1027.39 | 1.70946 | 0.854732 | − | 0.519070i | \(-0.173722\pi\) | ||||
0.854732 | + | 0.519070i | \(0.173722\pi\) | |||||||
\(602\) | −835.478 | + | 375.905i | −1.38784 | + | 0.624427i | ||||
\(603\) | 172.940 | + | 21.5684i | 0.286799 | + | 0.0357684i | ||||
\(604\) | 613.603 | + | 543.852i | 1.01590 | + | 0.900417i | ||||
\(605\) | −1097.62 | − | 595.342i | −1.81424 | − | 0.984037i | ||||
\(606\) | −413.901 | + | 533.018i | −0.683006 | + | 0.879568i | ||||
\(607\) | −55.4423 | + | 55.4423i | −0.0913383 | + | 0.0913383i | −0.751300 | − | 0.659961i | \(-0.770573\pi\) |
0.659961 | + | 0.751300i | \(0.270573\pi\) | |||||||
\(608\) | −124.005 | + | 28.9060i | −0.203956 | + | 0.0475428i | ||||
\(609\) | 29.9059 | + | 1812.08i | 0.0491065 | + | 2.97551i | ||||
\(610\) | 790.645 | − | 489.248i | 1.29614 | − | 0.802046i | ||||
\(611\) | 195.822 | + | 142.273i | 0.320494 | + | 0.232853i | ||||
\(612\) | 319.934 | − | 281.461i | 0.522768 | − | 0.459904i | ||||
\(613\) | 106.909 | − | 674.998i | 0.174403 | − | 1.10114i | −0.732799 | − | 0.680445i | \(-0.761787\pi\) |
0.907203 | − | 0.420694i | \(-0.138213\pi\) | |||||||
\(614\) | −350.263 | + | 923.254i | −0.570462 | + | 1.50367i | ||||
\(615\) | 241.616 | + | 767.696i | 0.392871 | + | 1.24829i | ||||
\(616\) | 265.302 | − | 1812.58i | 0.430685 | − | 2.94249i | ||||
\(617\) | −233.526 | − | 458.320i | −0.378486 | − | 0.742820i | 0.620663 | − | 0.784078i | \(-0.286864\pi\) |
−0.999149 | + | 0.0412576i | \(0.986864\pi\) | |||||||
\(618\) | 748.248 | − | 351.617i | 1.21076 | − | 0.568960i | ||||
\(619\) | 239.061 | − | 735.755i | 0.386205 | − | 1.18862i | −0.549397 | − | 0.835562i | \(-0.685142\pi\) |
0.935602 | − | 0.353056i | \(-0.114858\pi\) | |||||||
\(620\) | 49.6633 | − | 172.893i | 0.0801020 | − | 0.278860i | ||||
\(621\) | −70.4120 | + | 3.48868i | −0.113385 | + | 0.00561785i | ||||
\(622\) | −691.504 | − | 144.157i | −1.11174 | − | 0.231763i | ||||
\(623\) | −1017.14 | + | 161.099i | −1.63265 | + | 0.258586i | ||||
\(624\) | 241.288 | + | 498.180i | 0.386679 | + | 0.798366i | ||||
\(625\) | −621.688 | − | 64.2551i | −0.994701 | − | 0.102808i | ||||
\(626\) | 143.790 | + | 528.349i | 0.229696 | + | 0.844007i | ||||
\(627\) | 206.487 | + | 100.954i | 0.329325 | + | 0.161010i | ||||
\(628\) | 82.4125 | − | 4.96637i | 0.131230 | − | 0.00790823i | ||||
\(629\) | −12.7206 | − | 39.1500i | −0.0202235 | − | 0.0622416i | ||||
\(630\) | −1049.37 | − | 210.826i | −1.66566 | − | 0.334644i | ||||
\(631\) | −391.840 | − | 127.317i | −0.620983 | − | 0.201770i | −0.0184062 | − | 0.999831i | \(-0.505859\pi\) |
−0.602577 | + | 0.798061i | \(0.705859\pi\) | |||||||
\(632\) | −207.985 | + | 2.44277i | −0.329089 | + | 0.00386514i | ||||
\(633\) | −70.2132 | − | 9.93594i | −0.110921 | − | 0.0156966i | ||||
\(634\) | 43.5936 | + | 35.0197i | 0.0687596 | + | 0.0552361i | ||||
\(635\) | 93.6440 | − | 122.149i | 0.147471 | − | 0.192360i | ||||
\(636\) | −329.405 | + | 384.243i | −0.517933 | + | 0.604156i | ||||
\(637\) | 1052.83 | + | 166.752i | 1.65279 | + | 0.261777i | ||||
\(638\) | 212.087 | + | 1944.61i | 0.332425 | + | 3.04798i | ||||
\(639\) | −678.045 | − | 195.823i | −1.06110 | − | 0.306452i | ||||
\(640\) | 536.171 | − | 349.457i | 0.837767 | − | 0.546027i | ||||
\(641\) | 204.336 | + | 281.244i | 0.318777 | + | 0.438759i | 0.938093 | − | 0.346383i | \(-0.112590\pi\) |
−0.619316 | + | 0.785142i | \(0.712590\pi\) | |||||||
\(642\) | −57.3612 | − | 455.994i | −0.0893477 | − | 0.710271i | ||||
\(643\) | 301.796 | + | 301.796i | 0.469356 | + | 0.469356i | 0.901706 | − | 0.432350i | \(-0.142316\pi\) |
−0.432350 | + | 0.901706i | \(0.642316\pi\) | |||||||
\(644\) | −26.7749 | − | 121.289i | −0.0415759 | − | 0.188336i | ||||
\(645\) | 257.529 | + | 517.194i | 0.399269 | + | 0.801851i | ||||
\(646\) | −78.7993 | + | 51.6125i | −0.121980 | + | 0.0798956i | ||||
\(647\) | 235.246 | − | 461.696i | 0.363595 | − | 0.713596i | −0.634651 | − | 0.772799i | \(-0.718856\pi\) |
0.998246 | + | 0.0592033i | \(0.0188560\pi\) | |||||||
\(648\) | −646.042 | + | 50.3330i | −0.996979 | + | 0.0776744i | ||||
\(649\) | − | 669.505i | − | 1.03159i | ||||||
\(650\) | 563.422 | − | 122.576i | 0.866802 | − | 0.188579i | ||||
\(651\) | −262.686 | − | 184.308i | −0.403512 | − | 0.283115i | ||||
\(652\) | 538.531 | − | 443.120i | 0.825968 | − | 0.679632i | ||||
\(653\) | −457.571 | + | 898.034i | −0.700721 | + | 1.37524i | 0.216269 | + | 0.976334i | \(0.430611\pi\) |
−0.916990 | + | 0.398909i | \(0.869389\pi\) | |||||||
\(654\) | 0.517033 | − | 16.1806i | 0.000790571 | − | 0.0247410i | ||||
\(655\) | −23.5634 | − | 49.3468i | −0.0359747 | − | 0.0753386i | ||||
\(656\) | −628.898 | + | 584.351i | −0.958686 | + | 0.890779i | ||||
\(657\) | 169.596 | − | 361.901i | 0.258137 | − | 0.550838i | ||||
\(658\) | −335.504 | − | 369.694i | −0.509884 | − | 0.561844i | ||||
\(659\) | −413.300 | − | 568.859i | −0.627162 | − | 0.863215i | 0.370687 | − | 0.928758i | \(-0.379122\pi\) |
−0.997850 | + | 0.0655428i | \(0.979122\pi\) | |||||||
\(660\) | −1148.77 | − | 122.385i | −1.74056 | − | 0.185432i | ||||
\(661\) | 38.1281 | + | 27.7017i | 0.0576825 | + | 0.0419088i | 0.616253 | − | 0.787548i | \(-0.288650\pi\) |
−0.558570 | + | 0.829457i | \(0.688650\pi\) | |||||||
\(662\) | −645.256 | + | 70.3742i | −0.974707 | + | 0.106305i | ||||
\(663\) | 294.300 | + | 284.744i | 0.443892 | + | 0.429478i | ||||
\(664\) | −514.970 | + | 87.7749i | −0.775558 | + | 0.132191i | ||||
\(665\) | 223.070 | + | 78.8846i | 0.335443 | + | 0.118623i | ||||
\(666\) | −20.2611 | + | 59.2296i | −0.0304221 | + | 0.0889333i | ||||
\(667\) | 60.2145 | + | 118.178i | 0.0902766 | + | 0.177178i | ||||
\(668\) | 126.214 | − | 486.233i | 0.188943 | − | 0.727894i | ||||
\(669\) | −61.7209 | + | 46.4181i | −0.0922585 | + | 0.0693843i | ||||
\(670\) | 192.979 | − | 16.0322i | 0.288028 | − | 0.0239286i | ||||
\(671\) | −553.213 | − | 1702.62i | −0.824461 | − | 2.53743i | ||||
\(672\) | −277.495 | − | 1107.45i | −0.412939 | − | 1.64800i | ||||
\(673\) | −782.546 | + | 123.943i | −1.16277 | + | 0.184165i | −0.707848 | − | 0.706365i | \(-0.750334\pi\) |
−0.454925 | + | 0.890530i | \(0.650334\pi\) | |||||||
\(674\) | 464.855 | − | 126.510i | 0.689696 | − | 0.187700i | ||||
\(675\) | −106.919 | + | 666.478i | −0.158398 | + | 0.987375i | ||||
\(676\) | 124.183 | − | 72.9994i | 0.183703 | − | 0.107987i | ||||
\(677\) | −415.447 | + | 65.8004i | −0.613660 | + | 0.0971941i | −0.455524 | − | 0.890223i | \(-0.650548\pi\) |
−0.158135 | + | 0.987417i | \(0.550548\pi\) | |||||||
\(678\) | 700.184 | + | 746.408i | 1.03272 | + | 1.10090i | ||||
\(679\) | 171.283 | + | 527.153i | 0.252257 | + | 0.776367i | ||||
\(680\) | 283.633 | − | 379.108i | 0.417107 | − | 0.557512i | ||||
\(681\) | 438.536 | − | 329.807i | 0.643959 | − | 0.484298i | ||||
\(682\) | −300.631 | − | 172.004i | −0.440808 | − | 0.252205i | ||||
\(683\) | −344.915 | − | 676.933i | −0.505000 | − | 0.991117i | −0.992982 | − | 0.118264i | \(-0.962267\pi\) |
0.487983 | − | 0.872853i | \(-0.337733\pi\) | |||||||
\(684\) | 142.954 | + | 9.14520i | 0.208997 | + | 0.0133702i | ||||
\(685\) | −604.552 | − | 878.814i | −0.882558 | − | 1.28294i | ||||
\(686\) | −965.916 | − | 366.448i | −1.40804 | − | 0.534181i | ||||
\(687\) | −306.089 | − | 296.150i | −0.445544 | − | 0.431077i | ||||
\(688\) | −380.291 | + | 484.955i | −0.552749 | + | 0.704876i | ||||
\(689\) | −393.486 | − | 285.885i | −0.571098 | − | 0.414927i | ||||
\(690\) | −75.7694 | + | 19.8701i | −0.109811 | + | 0.0287972i | ||||
\(691\) | −207.791 | − | 285.999i | −0.300710 | − | 0.413892i | 0.631746 | − | 0.775175i | \(-0.282339\pi\) |
−0.932456 | + | 0.361284i | \(0.882339\pi\) | |||||||
\(692\) | 9.66384 | + | 6.16874i | 0.0139651 | + | 0.00891436i | ||||
\(693\) | −874.515 | + | 1866.13i | −1.26193 | + | 2.69282i | ||||
\(694\) | 12.7359 | − | 262.688i | 0.0183515 | − | 0.378514i | ||||
\(695\) | −539.836 | + | 71.3082i | −0.776742 | + | 0.102602i | ||||
\(696\) | 583.932 | + | 1070.19i | 0.838983 | + | 1.53763i | ||||
\(697\) | −288.326 | + | 565.871i | −0.413667 | + | 0.811867i | ||||
\(698\) | −313.107 | − | 695.906i | −0.448578 | − | 0.997000i | ||||
\(699\) | 383.310 | + | 268.940i | 0.548369 | + | 0.384750i | ||||
\(700\) | −1189.22 | + | 10.3398i | −1.69888 | + | 0.0147712i | ||||
\(701\) | − | 1097.85i | − | 1.56612i | −0.621945 | − | 0.783061i | \(-0.713657\pi\) | ||
0.621945 | − | 0.783061i | \(-0.286343\pi\) | |||||||
\(702\) | −98.0689 | − | 614.959i | −0.139699 | − | 0.876010i | ||||
\(703\) | 6.28236 | − | 12.3298i | 0.00893651 | − | 0.0175389i | ||||
\(704\) | −408.218 | − | 1162.71i | −0.579856 | − | 1.65157i | ||||
\(705\) | −224.674 | + | 220.558i | −0.318687 | + | 0.312848i | ||||
\(706\) | −4.70129 | + | 96.9677i | −0.00665905 | + | 0.137348i | ||||
\(707\) | 945.841 | + | 945.841i | 1.33782 | + | 1.33782i | ||||
\(708\) | −158.964 | − | 385.789i | −0.224526 | − | 0.544900i | ||||
\(709\) | −339.010 | − | 466.607i | −0.478152 | − | 0.658120i | 0.499997 | − | 0.866027i | \(-0.333335\pi\) |
−0.978148 | + | 0.207908i | \(0.933335\pi\) | |||||||
\(710\) | −782.016 | − | 58.1265i | −1.10143 | − | 0.0818683i | ||||
\(711\) | 224.811 | + | 64.9266i | 0.316190 | + | 0.0913173i | ||||
\(712\) | −555.622 | + | 413.739i | −0.780368 | + | 0.581094i | ||||
\(713\) | −23.1952 | − | 3.67377i | −0.0325319 | − | 0.00515255i | ||||
\(714\) | −474.375 | − | 698.813i | −0.664390 | − | 0.978730i | ||||
\(715\) | 28.5822 | − | 1109.85i | 0.0399750 | − | 1.55224i | ||||
\(716\) | −299.659 | + | 687.482i | −0.418518 | + | 0.960170i | ||||
\(717\) | −634.859 | − | 89.8395i | −0.885437 | − | 0.125299i | ||||
\(718\) | −621.634 | − | 355.663i | −0.865785 | − | 0.495352i | ||||
\(719\) | 714.500 | + | 232.155i | 0.993742 | + | 0.322886i | 0.760362 | − | 0.649499i | \(-0.225021\pi\) |
0.233380 | + | 0.972386i | \(0.425021\pi\) | |||||||
\(720\) | −691.014 | + | 202.237i | −0.959742 | + | 0.280884i | ||||
\(721\) | −506.385 | − | 1558.49i | −0.702337 | − | 2.16157i | ||||
\(722\) | 675.805 | + | 140.884i | 0.936019 | + | 0.195130i | ||||
\(723\) | 262.112 | + | 128.149i | 0.362534 | + | 0.177247i | ||||
\(724\) | 299.559 | + | 509.594i | 0.413755 | + | 0.703860i | ||||
\(725\) | 1226.37 | − | 329.742i | 1.69155 | − | 0.454817i | ||||
\(726\) | −508.312 | + | 1409.56i | −0.700154 | + | 1.94154i | ||||
\(727\) | 457.620 | − | 72.4799i | 0.629463 | − | 0.0996972i | 0.166452 | − | 0.986050i | \(-0.446769\pi\) |
0.463011 | + | 0.886352i | \(0.346769\pi\) | |||||||
\(728\) | 1039.41 | − | 351.274i | 1.42777 | − | 0.482520i | ||||
\(729\) | 712.193 | + | 155.635i | 0.976945 | + | 0.213491i | ||||
\(730\) | 101.789 | − | 432.253i | 0.139438 | − | 0.592127i | ||||
\(731\) | −140.887 | + | 433.605i | −0.192732 | + | 0.593167i | ||||
\(732\) | −723.040 | − | 849.746i | −0.987760 | − | 1.16086i | ||||
\(733\) | 609.333 | + | 1195.88i | 0.831286 | + | 1.63149i | 0.774045 | + | 0.633130i | \(0.218230\pi\) |
0.0572407 | + | 0.998360i | \(0.481770\pi\) | |||||||
\(734\) | 494.862 | + | 397.534i | 0.674199 | + | 0.541599i | ||||
\(735\) | −440.629 | + | 1314.63i | −0.599495 | + | 1.78862i | ||||
\(736\) | −53.8428 | − | 63.8917i | −0.0731560 | − | 0.0868094i | ||||
\(737\) | 58.3268 | − | 368.261i | 0.0791408 | − | 0.499675i | ||||
\(738\) | 867.187 | − | 425.118i | 1.17505 | − | 0.576040i | ||||
\(739\) | 694.810 | + | 504.809i | 0.940203 | + | 0.683098i | 0.948470 | − | 0.316868i | \(-0.102631\pi\) |
−0.00826618 | + | 0.999966i | \(0.502631\pi\) | |||||||
\(740\) | −8.50865 | + | 69.0322i | −0.0114982 | + | 0.0932868i | ||||
\(741\) | 2.27157 | + | 137.641i | 0.00306555 | + | 0.185750i | ||||
\(742\) | 674.164 | + | 742.866i | 0.908577 | + | 1.00117i | ||||
\(743\) | 278.735 | − | 278.735i | 0.375148 | − | 0.375148i | −0.494200 | − | 0.869348i | \(-0.664539\pi\) |
0.869348 | + | 0.494200i | \(0.164539\pi\) | |||||||
\(744\) | −214.073 | − | 27.7333i | −0.287732 | − | 0.0372759i | ||||
\(745\) | 181.610 | − | 172.491i | 0.243772 | − | 0.231532i | ||||
\(746\) | 315.476 | − | 206.633i | 0.422890 | − | 0.276988i | ||||
\(747\) | 583.179 | + | 72.7318i | 0.780695 | + | 0.0973652i | ||||
\(748\) | −579.240 | − | 703.960i | −0.774385 | − | 0.941123i | ||||
\(749\) | −910.949 | −1.21622 | ||||||||
\(750\) | 35.9068 | + | 749.140i | 0.0478758 | + | 0.998853i | ||||
\(751\) | 666.113i | 0.886968i | 0.896282 | + | 0.443484i | \(0.146258\pi\) | ||||
−0.896282 | + | 0.443484i | \(0.853742\pi\) | |||||||
\(752\) | −315.369 | − | 115.426i | −0.419374 | − | 0.153492i | ||||
\(753\) | −175.570 | − | 330.958i | −0.233161 | − | 0.439519i | ||||
\(754\) | −980.070 | + | 641.934i | −1.29983 | + | 0.851371i | ||||
\(755\) | −705.824 | − | 743.139i | −0.934866 | − | 0.984290i | ||||
\(756\) | −60.8372 | + | 1282.96i | −0.0804725 | + | 1.69704i | ||||
\(757\) | 250.584 | + | 250.584i | 0.331023 | + | 0.331023i | 0.852975 | − | 0.521952i | \(-0.174796\pi\) |
−0.521952 | + | 0.852975i | \(0.674796\pi\) | |||||||
\(758\) | −447.173 | − | 492.743i | −0.589938 | − | 0.650057i | ||||
\(759\) | 2.48878 | + | 150.803i | 0.00327903 | + | 0.198686i | ||||
\(760\) | 157.536 | − | 22.6948i | 0.207284 | − | 0.0298615i | ||||
\(761\) | 855.127 | − | 1176.98i | 1.12369 | − | 1.54662i | 0.324155 | − | 0.946004i | \(-0.394920\pi\) |
0.799534 | − | 0.600621i | \(-0.205080\pi\) | |||||||
\(762\) | −161.804 | − | 89.0636i | −0.212341 | − | 0.116881i | ||||
\(763\) | −31.6929 | − | 5.01967i | −0.0415373 | − | 0.00657886i | ||||
\(764\) | 36.7708 | − | 378.321i | 0.0481293 | − | 0.495185i | ||||
\(765\) | −428.640 | + | 316.203i | −0.560313 | + | 0.413337i | ||||
\(766\) | 1087.79 | + | 873.846i | 1.42009 | + | 1.14079i | ||||
\(767\) | 357.280 | − | 182.043i | 0.465814 | − | 0.237344i | ||||
\(768\) | −511.296 | − | 573.062i | −0.665750 | − | 0.746175i | ||||
\(769\) | 313.559 | + | 101.881i | 0.407749 | + | 0.132486i | 0.505708 | − | 0.862705i | \(-0.331231\pi\) |
−0.0979591 | + | 0.995190i | \(0.531231\pi\) | |||||||
\(770\) | −524.873 | + | 2228.90i | −0.681653 | + | 2.89467i | ||||
\(771\) | −149.716 | − | 45.9285i | −0.194184 | − | 0.0595700i | ||||
\(772\) | −88.3046 | − | 1465.34i | −0.114384 | − | 1.89811i | ||||
\(773\) | −94.0122 | − | 593.570i | −0.121620 | − | 0.767878i | −0.970820 | − | 0.239807i | \(-0.922916\pi\) |
0.849201 | − | 0.528071i | \(-0.177084\pi\) | |||||||
\(774\) | 567.130 | − | 398.812i | 0.732726 | − | 0.515261i | ||||
\(775\) | −80.3995 | + | 209.991i | −0.103741 | + | 0.270956i | ||||
\(776\) | 266.729 | + | 260.536i | 0.343722 | + | 0.335742i | ||||
\(777\) | 111.469 | + | 54.4982i | 0.143460 | + | 0.0701393i | ||||
\(778\) | 506.814 | + | 105.655i | 0.651432 | + | 0.135803i | ||||
\(779\) | −203.046 | + | 65.9736i | −0.260649 | + | 0.0846901i | ||||
\(780\) | −247.048 | − | 646.315i | −0.316728 | − | 0.828609i | ||||
\(781\) | −466.581 | + | 1435.99i | −0.597414 | + | 1.83865i | ||||
\(782\) | −53.6515 | − | 30.6963i | −0.0686081 | − | 0.0392536i | ||||
\(783\) | −281.326 | − | 1342.36i | −0.359293 | − | 1.71438i | ||||
\(784\) | −1468.24 | + | 177.604i | −1.87276 | + | 0.226536i | ||||
\(785\) | −103.168 | − | 2.65692i | −0.131425 | − | 0.00338461i | ||||
\(786\) | −54.2931 | + | 36.8558i | −0.0690752 | + | 0.0468903i | ||||
\(787\) | 148.625 | − | 938.380i | 0.188850 | − | 1.19235i | −0.693042 | − | 0.720898i | \(-0.743730\pi\) |
0.881891 | − | 0.471453i | \(-0.156270\pi\) | |||||||
\(788\) | 247.516 | − | 97.2426i | 0.314106 | − | 0.123404i | ||||
\(789\) | 745.555 | − | 255.922i | 0.944937 | − | 0.324363i | ||||
\(790\) | 259.283 | + | 19.2723i | 0.328207 | + | 0.0243953i | ||||
\(791\) | 1641.10 | − | 1192.33i | 2.07472 | − | 1.50737i | ||||
\(792\) | 62.0153 | + | 1384.94i | 0.0783021 | + | 1.74866i | ||||
\(793\) | 758.174 | − | 758.174i | 0.956083 | − | 0.956083i | ||||
\(794\) | 71.7245 | − | 1479.37i | 0.0903331 | − | 1.86319i | ||||
\(795\) | 451.462 | − | 443.190i | 0.567877 | − | 0.557472i | ||||
\(796\) | 580.903 | − | 655.406i | 0.729777 | − | 0.823374i | ||||
\(797\) | 294.771 | + | 150.193i | 0.369850 | + | 0.188448i | 0.629030 | − | 0.777381i | \(-0.283452\pi\) |
−0.259180 | + | 0.965829i | \(0.583452\pi\) | |||||||
\(798\) | 53.3499 | − | 278.871i | 0.0668545 | − | 0.349463i | ||||
\(799\) | −248.443 | −0.310943 | ||||||||
\(800\) | −705.234 | + | 377.684i | −0.881542 | + | 0.472106i | ||||
\(801\) | 732.844 | − | 265.156i | 0.914912 | − | 0.331031i | ||||
\(802\) | −109.450 | − | 243.261i | −0.136471 | − | 0.303318i | ||||
\(803\) | −761.852 | − | 388.183i | −0.948757 | − | 0.483416i | ||||
\(804\) | −53.8286 | − | 226.052i | −0.0669510 | − | 0.281159i | ||||
\(805\) | 20.3322 | + | 153.924i | 0.0252574 | + | 0.191210i | ||||
\(806\) | 10.0457 | − | 207.200i | 0.0124636 | − | 0.257072i | ||||
\(807\) | −643.495 | + | 112.834i | −0.797391 | + | 0.139820i | ||||
\(808\) | 858.967 | + | 267.984i | 1.06308 | + | 0.331664i | ||||
\(809\) | −290.299 | + | 210.915i | −0.358837 | + | 0.260711i | −0.752567 | − | 0.658516i | \(-0.771185\pi\) |
0.393730 | + | 0.919226i | \(0.371185\pi\) | |||||||
\(810\) | 809.973 | + | 6.62919i | 0.999967 | + | 0.00818419i | ||||
\(811\) | −619.790 | + | 853.067i | −0.764229 | + | 1.05187i | 0.232621 | + | 0.972567i | \(0.425270\pi\) |
−0.996850 | + | 0.0793038i | \(0.974730\pi\) | |||||||
\(812\) | 2249.09 | − | 883.612i | 2.76982 | − | 1.08819i | ||||
\(813\) | 417.792 | + | 404.226i | 0.513890 | + | 0.497203i | ||||
\(814\) | 125.216 | + | 47.5042i | 0.153828 | + | 0.0583590i | ||||
\(815\) | −718.222 | + | 494.078i | −0.881254 | + | 0.606230i | ||||
\(816\) | −500.921 | − | 268.111i | −0.613874 | − | 0.328567i | ||||
\(817\) | −136.559 | + | 69.5802i | −0.167147 | + | 0.0851655i | ||||
\(818\) | −126.268 | − | 72.2432i | −0.154362 | − | 0.0883169i | ||||
\(819\) | −1233.64 | + | 40.7301i | −1.50628 | + | 0.0497314i | ||||
\(820\) | 845.916 | − | 660.269i | 1.03160 | − | 0.805206i | ||||
\(821\) | 35.7074 | − | 11.6020i | 0.0434926 | − | 0.0141316i | −0.287190 | − | 0.957874i | \(-0.592721\pi\) |
0.330683 | + | 0.943742i | \(0.392721\pi\) | |||||||
\(822\) | −933.550 | + | 875.736i | −1.13571 | + | 1.06537i | ||||
\(823\) | 16.2129 | + | 102.365i | 0.0196998 | + | 0.124380i | 0.995578 | − | 0.0939342i | \(-0.0299443\pi\) |
−0.975879 | + | 0.218314i | \(0.929944\pi\) | |||||||
\(824\) | −788.564 | − | 770.256i | −0.956996 | − | 0.934777i | ||||
\(825\) | 1417.53 | + | 275.667i | 1.71822 | + | 0.334142i | ||||
\(826\) | −798.020 | + | 217.181i | −0.966126 | + | 0.262931i | ||||
\(827\) | 102.348 | + | 646.202i | 0.123758 | + | 0.781380i | 0.969012 | + | 0.247015i | \(0.0794495\pi\) |
−0.845253 | + | 0.534366i | \(0.820550\pi\) | |||||||
\(828\) | 37.2401 | + | 86.3062i | 0.0449759 | + | 0.104235i | ||||
\(829\) | −740.929 | + | 240.742i | −0.893762 | + | 0.290401i | −0.719660 | − | 0.694327i | \(-0.755702\pi\) |
−0.174102 | + | 0.984728i | \(0.555702\pi\) | |||||||
\(830\) | 650.755 | − | 54.0630i | 0.784042 | − | 0.0651361i | ||||
\(831\) | −904.164 | + | 679.989i | −1.08804 | + | 0.818278i | ||||
\(832\) | 509.479 | − | 533.993i | 0.612354 | − | 0.641819i | ||||
\(833\) | −974.861 | + | 496.717i | −1.17030 | + | 0.596298i | ||||
\(834\) | 181.970 | + | 627.581i | 0.218190 | + | 0.752495i | ||||
\(835\) | −209.353 | + | 592.007i | −0.250722 | + | 0.708990i | ||||
\(836\) | 29.6464 | − | 305.022i | 0.0354622 | − | 0.364858i | ||||
\(837\) | 221.566 | + | 99.4063i | 0.264715 | + | 0.118765i | ||||
\(838\) | 494.258 | − | 53.9057i | 0.589806 | − | 0.0643266i | ||||
\(839\) | −285.508 | + | 392.968i | −0.340296 | + | 0.468377i | −0.944528 | − | 0.328432i | \(-0.893480\pi\) |
0.604232 | + | 0.796808i | \(0.293480\pi\) | |||||||
\(840\) | 226.771 | + | 1408.98i | 0.269966 | + | 1.67736i | ||||
\(841\) | −1407.16 | + | 1022.36i | −1.67320 | + | 1.21565i | ||||
\(842\) | 596.206 | + | 656.963i | 0.708083 | + | 0.780241i | ||||
\(843\) | −174.076 | − | 992.756i | −0.206496 | − | 1.17765i | ||||
\(844\) | 20.3816 | + | 92.3274i | 0.0241488 | + | 0.109393i | ||||
\(845\) | −162.488 | + | 77.5890i | −0.192293 | + | 0.0918213i | ||||
\(846\) | 302.188 | + | 226.763i | 0.357196 | + | 0.268041i | ||||
\(847\) | 2646.29 | + | 1348.35i | 3.12431 | + | 1.59192i | ||||
\(848\) | 633.706 | + | 231.939i | 0.747295 | + | 0.273513i | ||||
\(849\) | 621.316 | + | 435.932i | 0.731821 | + | 0.513465i | ||||
\(850\) | −393.907 | + | 441.706i | −0.463420 | + | 0.519654i | ||||
\(851\) | 9.08053 | 0.0106704 | ||||||||
\(852\) | 72.0967 | + | 938.242i | 0.0846205 | + | 1.10122i | ||||
\(853\) | 751.597 | + | 382.958i | 0.881122 | + | 0.448954i | 0.835171 | − | 0.549990i | \(-0.185368\pi\) |
0.0459503 | + | 0.998944i | \(0.485368\pi\) | |||||||
\(854\) | −1849.98 | + | 1211.72i | −2.16626 | + | 1.41887i | ||||
\(855\) | −177.052 | − | 26.7267i | −0.207078 | − | 0.0312593i | ||||
\(856\) | −542.689 | + | 284.591i | −0.633982 | + | 0.332466i | ||||
\(857\) | −42.5738 | + | 42.5738i | −0.0496777 | + | 0.0496777i | −0.731509 | − | 0.681832i | \(-0.761184\pi\) |
0.681832 | + | 0.731509i | \(0.261184\pi\) | |||||||
\(858\) | −1321.84 | + | 166.280i | −1.54061 | + | 0.193799i | ||||
\(859\) | −81.4615 | + | 59.1852i | −0.0948329 | + | 0.0689001i | −0.634191 | − | 0.773176i | \(-0.718667\pi\) |
0.539358 | + | 0.842076i | \(0.318667\pi\) | |||||||
\(860\) | 525.640 | − | 563.155i | 0.611209 | − | 0.654832i | ||||
\(861\) | −621.507 | − | 1810.58i | −0.721843 | − | 2.10288i | ||||
\(862\) | 179.268 | + | 1643.70i | 0.207967 | + | 1.90684i | ||||
\(863\) | −39.8372 | + | 251.522i | −0.0461613 | + | 0.291451i | −0.999960 | − | 0.00899691i | \(-0.997136\pi\) |
0.953798 | + | 0.300448i | \(0.0971362\pi\) | |||||||
\(864\) | 364.568 | + | 783.317i | 0.421954 | + | 0.906617i | ||||
\(865\) | −11.3734 | − | 8.71929i | −0.0131484 | − | 0.0100801i | ||||
\(866\) | −181.602 | − | 145.885i | −0.209702 | − | 0.168459i | ||||
\(867\) | 442.274 | + | 62.5866i | 0.510120 | + | 0.0721875i | ||||
\(868\) | −107.499 | + | 414.135i | −0.123847 | + | 0.477114i | ||||
\(869\) | 154.698 | − | 476.112i | 0.178019 | − | 0.547885i | ||||
\(870\) | −612.402 | − | 1395.45i | −0.703910 | − | 1.60396i | ||||
\(871\) | 212.381 | − | 69.0067i | 0.243836 | − | 0.0792270i | ||||
\(872\) | −20.4490 | + | 6.91081i | −0.0234506 | + | 0.00792525i | ||||
\(873\) | −202.663 | − | 367.259i | −0.232145 | − | 0.420686i | ||||
\(874\) | −5.45654 | − | 20.0498i | −0.00624318 | − | 0.0229403i | ||||
\(875\) | 1482.14 | + | 114.713i | 1.69388 | + | 0.131100i | ||||
\(876\) | −531.171 | − | 42.7920i | −0.606359 | − | 0.0488493i | ||||
\(877\) | −79.4876 | − | 501.865i | −0.0906359 | − | 0.572252i | −0.990654 | − | 0.136400i | \(-0.956447\pi\) |
0.900018 | − | 0.435853i | \(-0.143553\pi\) | |||||||
\(878\) | −492.095 | − | 102.586i | −0.560472 | − | 0.116841i | ||||
\(879\) | 363.545 | − | 1185.07i | 0.413590 | − | 1.34820i | ||||
\(880\) | 383.644 | + | 1491.82i | 0.435959 | + | 1.69525i | ||||
\(881\) | 1028.80 | + | 334.278i | 1.16777 | + | 0.379430i | 0.827809 | − | 0.561010i | \(-0.189587\pi\) |
0.339958 | + | 0.940441i | \(0.389587\pi\) | |||||||
\(882\) | 1639.12 | + | 285.621i | 1.85841 | + | 0.323833i | ||||
\(883\) | −1434.15 | + | 730.736i | −1.62418 | + | 0.827560i | −0.625292 | + | 0.780391i | \(0.715020\pi\) |
−0.998887 | + | 0.0471695i | \(0.984980\pi\) | |||||||
\(884\) | 218.167 | − | 500.522i | 0.246795 | − | 0.566201i | ||||
\(885\) | 156.581 | + | 497.512i | 0.176928 | + | 0.562160i | ||||
\(886\) | 383.283 | − | 1010.29i | 0.432599 | − | 1.14028i | ||||
\(887\) | 455.589 | + | 72.1583i | 0.513630 | + | 0.0813509i | 0.407869 | − | 0.913041i | \(-0.366272\pi\) |
0.105761 | + | 0.994392i | \(0.466272\pi\) | |||||||
\(888\) | 83.4322 | − | 2.35729i | 0.0939552 | − | 0.00265461i | ||||
\(889\) | −215.181 | + | 296.171i | −0.242048 | + | 0.333151i | ||||
\(890\) | 736.354 | − | 455.653i | 0.827364 | − | 0.511970i | ||||
\(891\) | 383.060 | − | 1511.84i | 0.429921 | − | 1.69679i | ||||
\(892\) | 86.7945 | + | 55.4037i | 0.0973033 | + | 0.0621118i | ||||
\(893\) | −59.0559 | − | 59.0559i | −0.0661321 | − | 0.0661321i | ||||
\(894\) | −237.396 | − | 184.343i | −0.265543 | − | 0.206201i | ||||
\(895\) | 446.951 | − | 824.031i | 0.499387 | − | 0.920705i | ||||
\(896\) | −1253.47 | + | 863.749i | −1.39897 | + | 0.964005i | ||||
\(897\) | −79.7988 | + | 42.3324i | −0.0889618 | + | 0.0471934i | ||||
\(898\) | −362.391 | + | 163.050i | −0.403554 | + | 0.181570i | ||||
\(899\) | − | 456.881i | − | 0.508210i | ||||||
\(900\) | 882.278 | − | 177.725i | 0.980309 | − | 0.197472i | ||||
\(901\) | 499.224 | 0.554078 | ||||||||
\(902\) | −847.777 | − | 1884.25i | −0.939885 | − | 2.08897i | ||||
\(903\) | −644.004 | − | 1213.98i | −0.713183 | − | 1.34439i | ||||
\(904\) | 605.174 | − | 1223.02i | 0.669440 | − | 1.35290i | ||||
\(905\) | −318.393 | − | 666.782i | −0.351815 | − | 0.736775i | ||||
\(906\) | −754.322 | + | 971.409i | −0.832585 | + | 1.07220i | ||||
\(907\) | −409.402 | + | 409.402i | −0.451381 | + | 0.451381i | −0.895813 | − | 0.444432i | \(-0.853406\pi\) |
0.444432 | + | 0.895813i | \(0.353406\pi\) | |||||||
\(908\) | −616.688 | − | 393.652i | −0.679172 | − | 0.433537i | ||||
\(909\) | −838.136 | − | 567.653i | −0.922042 | − | 0.624480i | ||||
\(910\) | −1332.16 | + | 325.955i | −1.46391 | + | 0.358192i | ||||
\(911\) | −928.529 | − | 674.616i | −1.01924 | − | 0.740523i | −0.0531146 | − | 0.998588i | \(-0.516915\pi\) |
−0.966127 | + | 0.258066i | \(0.916915\pi\) | |||||||
\(912\) | −55.3398 | − | 182.802i | −0.0606796 | − | 0.200441i | ||||
\(913\) | 196.687 | − | 1241.83i | 0.215429 | − | 1.36017i | ||||
\(914\) | −1209.35 | − | 458.802i | −1.32314 | − | 0.501972i | ||||
\(915\) | 809.296 | + | 1135.84i | 0.884477 | + | 1.24135i | ||||
\(916\) | −226.906 | + | 520.571i | −0.247714 | + | 0.568309i | ||||
\(917\) | 59.0492 | + | 115.891i | 0.0643939 | + | 0.126380i | ||||
\(918\) | 452.448 | + | 451.489i | 0.492862 | + | 0.491818i | ||||
\(919\) | 511.029 | − | 1572.78i | 0.556070 | − | 1.71141i | −0.137029 | − | 0.990567i | \(-0.543755\pi\) |
0.693100 | − | 0.720842i | \(-0.256245\pi\) | |||||||
\(920\) | 60.2003 | + | 85.3467i | 0.0654351 | + | 0.0927681i | ||||
\(921\) | −1416.06 | − | 434.406i | −1.53752 | − | 0.471668i | ||||
\(922\) | −89.0306 | + | 427.070i | −0.0965624 | + | 0.463200i | ||||
\(923\) | −893.177 | + | 141.465i | −0.967689 | + | 0.153267i | ||||
\(924\) | 2738.96 | + | 220.655i | 2.96424 | + | 0.238804i | ||||
\(925\) | 18.0030 | − | 85.0590i | 0.0194627 | − | 0.0919556i | ||||
\(926\) | 1376.43 | − | 374.594i | 1.48642 | − | 0.404529i | ||||
\(927\) | 599.157 | + | 1085.77i | 0.646340 | + | 1.17128i | ||||
\(928\) | 1063.83 | − | 1229.05i | 1.14636 | − | 1.32440i | ||||
\(929\) | 301.648 | + | 928.378i | 0.324702 | + | 0.999330i | 0.971575 | + | 0.236732i | \(0.0760764\pi\) |
−0.646873 | + | 0.762598i | \(0.723924\pi\) | |||||||
\(930\) | 263.628 | + | 57.5063i | 0.283471 | + | 0.0618347i | ||||
\(931\) | −349.799 | − | 113.657i | −0.375724 | − | 0.122080i | ||||
\(932\) | 156.862 | − | 604.302i | 0.168307 | − | 0.648393i | ||||
\(933\) | 148.460 | − | 1049.10i | 0.159121 | − | 1.12444i | ||||
\(934\) | −483.544 | + | 601.930i | −0.517713 | + | 0.644465i | ||||
\(935\) | 645.851 | + | 938.849i | 0.690750 | + | 1.00412i | ||||
\(936\) | −722.205 | + | 409.668i | −0.771586 | + | 0.437679i | ||||
\(937\) | 1306.47 | + | 206.925i | 1.39431 | + | 0.220837i | 0.807969 | − | 0.589225i | \(-0.200567\pi\) |
0.586343 | + | 0.810063i | \(0.300567\pi\) | |||||||
\(938\) | −457.871 | + | 49.9372i | −0.488135 | + | 0.0532379i | ||||
\(939\) | −776.854 | + | 266.666i | −0.827320 | + | 0.283989i | ||||
\(940\) | 380.373 | + | 177.586i | 0.404652 | + | 0.188921i | ||||
\(941\) | −158.885 | − | 218.687i | −0.168847 | − | 0.232398i | 0.716205 | − | 0.697890i | \(-0.245878\pi\) |
−0.885052 | + | 0.465492i | \(0.845878\pi\) | |||||||
\(942\) | 15.4569 | + | 122.875i | 0.0164086 | + | 0.130440i | ||||
\(943\) | −99.0621 | − | 99.0621i | −0.105050 | − | 0.105050i | ||||
\(944\) | −407.563 | + | 378.694i | −0.431740 | + | 0.401159i | ||||
\(945\) | 213.414 | − | 1591.25i | 0.225834 | − | 1.68387i | ||||
\(946\) | −812.712 | − | 1240.80i | −0.859103 | − | 1.31163i | ||||
\(947\) | −534.451 | + | 1048.92i | −0.564363 | + | 1.10762i | 0.415805 | + | 0.909454i | \(0.363500\pi\) |
−0.980168 | + | 0.198170i | \(0.936500\pi\) | |||||||
\(948\) | −23.9042 | − | 311.081i | −0.0252154 | − | 0.328145i | ||||
\(949\) | − | 512.110i | − | 0.539631i | ||||||
\(950\) | −198.628 | + | 11.3619i | −0.209082 | + | 0.0119599i | ||||
\(951\) | −48.1749 | + | 68.6617i | −0.0506571 | + | 0.0721995i | ||||
\(952\) | −651.189 | + | 918.786i | −0.684022 | + | 0.965111i | ||||
\(953\) | 752.919 | − | 1477.69i | 0.790051 | − | 1.55056i | −0.0441001 | − | 0.999027i | \(-0.514042\pi\) |
0.834151 | − | 0.551536i | \(-0.185958\pi\) | |||||||
\(954\) | −607.218 | − | 455.659i | −0.636497 | − | 0.477630i | ||||
\(955\) | −86.3836 | + | 467.212i | −0.0904540 | + | 0.489227i | ||||
\(956\) | 184.288 | + | 834.812i | 0.192770 | + | 0.873235i | ||||
\(957\) | −2890.12 | + | 506.773i | −3.01998 | + | 0.529543i | ||||
\(958\) | −1361.88 | + | 1235.93i | −1.42158 | + | 1.29011i | ||||
\(959\) | 1491.28 | + | 2052.57i | 1.55503 | + | 2.14032i | ||||
\(960\) | 575.278 | + | 768.541i | 0.599248 | + | 0.800563i | ||||
\(961\) | −712.019 | − | 517.312i | −0.740915 | − | 0.538306i | ||||
\(962\) | 8.69651 | + | 79.7377i | 0.00904003 | + | 0.0828874i | ||||
\(963\) | 676.964 | − | 130.252i | 0.702974 | − | 0.135257i | ||||
\(964\) | 37.6329 | − | 387.191i | 0.0390382 | − | 0.401651i | ||||
\(965\) | −47.2414 | + | 1834.39i | −0.0489548 | + | 1.90092i | ||||
\(966\) | 178.943 | − | 51.8854i | 0.185241 | − | 0.0537116i | ||||
\(967\) | −634.790 | − | 1245.85i | −0.656453 | − | 1.28836i | −0.943794 | − | 0.330533i | \(-0.892771\pi\) |
0.287341 | − | 0.957828i | \(-0.407229\pi\) | |||||||
\(968\) | 1997.75 | − | 23.4634i | 2.06379 | − | 0.0242391i | ||||
\(969\) | −84.9269 | − | 112.925i | −0.0876438 | − | 0.116538i | ||||
\(970\) | −304.228 | − | 353.085i | −0.313637 | − | 0.364005i | ||||
\(971\) | −32.9362 | − | 101.367i | −0.0339199 | − | 0.104395i | 0.932663 | − | 0.360749i | \(-0.117479\pi\) |
−0.966583 | + | 0.256354i | \(0.917479\pi\) | |||||||
\(972\) | −138.234 | − | 962.120i | −0.142216 | − | 0.989836i | ||||
\(973\) | 1279.22 | − | 202.608i | 1.31472 | − | 0.208231i | ||||
\(974\) | −74.6175 | − | 274.178i | −0.0766093 | − | 0.281497i | ||||
\(975\) | 238.327 | + | 831.418i | 0.244438 | + | 0.852736i | ||||
\(976\) | −723.556 | + | 1299.82i | −0.741348 | + | 1.33179i | ||||
\(977\) | −91.5160 | + | 14.4947i | −0.0936704 | + | 0.0148359i | −0.203094 | − | 0.979159i | \(-0.565100\pi\) |
0.109423 | + | 0.993995i | \(0.465100\pi\) | |||||||
\(978\) | 715.706 | + | 762.955i | 0.731806 | + | 0.780117i | ||||
\(979\) | −515.226 | − | 1585.70i | −0.526278 | − | 1.61972i | ||||
\(980\) | 1847.59 | − | 63.6597i | 1.88529 | − | 0.0649589i | ||||
\(981\) | 24.2701 | − | 0.801305i | 0.0247401 | − | 0.000816824i | ||||
\(982\) | 410.241 | − | 717.027i | 0.417761 | − | 0.730170i | ||||
\(983\) | −304.449 | − | 597.514i | −0.309714 | − | 0.607848i | 0.682713 | − | 0.730687i | \(-0.260800\pi\) |
−0.992427 | + | 0.122839i | \(0.960800\pi\) | |||||||
\(984\) | −935.903 | − | 884.470i | −0.951121 | − | 0.898852i | ||||
\(985\) | −318.686 | + | 94.5490i | −0.323539 | + | 0.0959888i | ||||
\(986\) | 426.552 | − | 1124.34i | 0.432609 | − | 1.14031i | ||||
\(987\) | 520.709 | − | 538.185i | 0.527568 | − | 0.545273i | ||||
\(988\) | 170.835 | − | 67.1168i | 0.172910 | − | 0.0679319i | ||||
\(989\) | −81.3639 | − | 59.1143i | −0.0822688 | − | 0.0597718i | ||||
\(990\) | 71.3554 | − | 1731.43i | 0.0720762 | − | 1.74892i | ||||
\(991\) | 686.749 | + | 945.228i | 0.692985 | + | 0.953813i | 0.999998 | + | 0.00210706i | \(0.000670700\pi\) |
−0.307012 | + | 0.951706i | \(0.599329\pi\) | |||||||
\(992\) | 65.3390 | + | 280.301i | 0.0658659 | + | 0.282561i | ||||
\(993\) | −168.156 | − | 958.993i | −0.169341 | − | 0.965753i | ||||
\(994\) | 1862.99 | + | 90.3232i | 1.87423 | + | 0.0908684i | ||||
\(995\) | −793.767 | + | 753.909i | −0.797756 | + | 0.757698i | ||||
\(996\) | −181.518 | − | 762.282i | −0.182247 | − | 0.765343i | ||||
\(997\) | −290.566 | + | 570.268i | −0.291441 | + | 0.571984i | −0.989581 | − | 0.143976i | \(-0.954011\pi\) |
0.698141 | + | 0.715961i | \(0.254011\pi\) | |||||||
\(998\) | −144.689 | + | 65.0997i | −0.144979 | + | 0.0652302i | ||||
\(999\) | −90.6295 | − | 24.5615i | −0.0907202 | − | 0.0245861i |
(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 | 300.3.u.a.287.101 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.16 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.111 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.6 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.6 | ✓ | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.111 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.16 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.101 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.6 | ✓ | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.16 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.101 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.111 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.287.6 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.16 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.101 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.111 | yes | 928 | 4.3 | odd | 2 | inner |