Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.4.l.a.59.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.66507 | + | 0.947300i | −0.942246 | + | 0.334921i | ||||
\(3\) | 5.14914 | − | 0.697370i | 0.990953 | − | 0.134209i | ||||
\(4\) | 6.20524 | − | 5.04925i | 0.775656 | − | 0.631156i | ||||
\(5\) | −1.80167 | + | 4.95006i | −0.161147 | + | 0.442747i | −0.993818 | − | 0.111021i | \(-0.964588\pi\) |
0.832671 | + | 0.553767i | \(0.186810\pi\) | |||||||
\(6\) | −13.0622 | + | 6.73633i | −0.888772 | + | 0.458349i | ||||
\(7\) | 14.7819 | + | 2.60644i | 0.798147 | + | 0.140735i | 0.557825 | − | 0.829959i | \(-0.311636\pi\) |
0.240322 | + | 0.970693i | \(0.422747\pi\) | |||||||
\(8\) | −11.7543 | + | 19.3349i | −0.519471 | + | 0.854488i | ||||
\(9\) | 26.0273 | − | 7.18172i | 0.963976 | − | 0.265990i | ||||
\(10\) | 0.112404 | − | 14.8990i | 0.00355454 | − | 0.471148i | ||||
\(11\) | −10.3655 | + | 3.77274i | −0.284120 | + | 0.103411i | −0.480149 | − | 0.877187i | \(-0.659417\pi\) |
0.196029 | + | 0.980598i | \(0.437195\pi\) | |||||||
\(12\) | 28.4305 | − | 30.3267i | 0.683931 | − | 0.729546i | ||||
\(13\) | 13.1613 | − | 11.0436i | 0.280790 | − | 0.235611i | −0.491505 | − | 0.870875i | \(-0.663553\pi\) |
0.772295 | + | 0.635264i | \(0.219109\pi\) | |||||||
\(14\) | −41.8639 | + | 7.05651i | −0.799186 | + | 0.134709i | ||||
\(15\) | −5.82505 | + | 26.7450i | −0.100268 | + | 0.460369i | ||||
\(16\) | 13.0101 | − | 62.6637i | 0.203283 | − | 0.979120i | ||||
\(17\) | 48.2458 | − | 27.8547i | 0.688313 | − | 0.397398i | −0.114667 | − | 0.993404i | \(-0.536580\pi\) |
0.802980 | + | 0.596006i | \(0.203247\pi\) | |||||||
\(18\) | −62.5616 | + | 43.7955i | −0.819217 | + | 0.573484i | ||||
\(19\) | 43.9510 | + | 25.3751i | 0.530687 | + | 0.306392i | 0.741296 | − | 0.671178i | \(-0.234211\pi\) |
−0.210609 | + | 0.977570i | \(0.567545\pi\) | |||||||
\(20\) | 13.8143 | + | 39.8134i | 0.154448 | + | 0.445128i | ||||
\(21\) | 77.9317 | + | 3.11251i | 0.809814 | + | 0.0323431i | ||||
\(22\) | 24.0509 | − | 19.8739i | 0.233076 | − | 0.192596i | ||||
\(23\) | 33.4382 | + | 189.638i | 0.303146 | + | 1.71923i | 0.632106 | + | 0.774882i | \(0.282191\pi\) |
−0.328961 | + | 0.944344i | \(0.606698\pi\) | |||||||
\(24\) | −47.0409 | + | 107.755i | −0.400091 | + | 0.916475i | ||||
\(25\) | 74.4985 | + | 62.5117i | 0.595988 | + | 0.500093i | ||||
\(26\) | −24.6141 | + | 41.8997i | −0.185663 | + | 0.316046i | ||||
\(27\) | 129.010 | − | 55.1304i | 0.919557 | − | 0.392957i | ||||
\(28\) | 104.886 | − | 58.4638i | 0.707913 | − | 0.394594i | ||||
\(29\) | 19.0814 | − | 22.7403i | 0.122183 | − | 0.145613i | −0.701485 | − | 0.712684i | \(-0.747479\pi\) |
0.823668 | + | 0.567072i | \(0.191924\pi\) | |||||||
\(30\) | −9.81134 | − | 76.7955i | −0.0597099 | − | 0.467363i | ||||
\(31\) | 42.3110 | − | 7.46057i | 0.245138 | − | 0.0432245i | −0.0497290 | − | 0.998763i | \(-0.515836\pi\) |
0.294867 | + | 0.955538i | \(0.404725\pi\) | |||||||
\(32\) | 24.6883 | + | 179.328i | 0.136385 | + | 0.990656i | ||||
\(33\) | −50.7425 | + | 26.6549i | −0.267671 | + | 0.140607i | ||||
\(34\) | −102.192 | + | 119.938i | −0.515463 | + | 0.604977i | ||||
\(35\) | −39.5342 | + | 68.4752i | −0.190929 | + | 0.330698i | ||||
\(36\) | 125.244 | − | 175.983i | 0.579832 | − | 0.814736i | ||||
\(37\) | −161.071 | − | 278.982i | −0.715671 | − | 1.23958i | −0.962700 | − | 0.270571i | \(-0.912787\pi\) |
0.247029 | − | 0.969008i | \(-0.420546\pi\) | |||||||
\(38\) | −141.171 | − | 25.9918i | −0.602655 | − | 0.110959i | ||||
\(39\) | 60.0677 | − | 66.0434i | 0.246629 | − | 0.271164i | ||||
\(40\) | −74.5313 | − | 93.0195i | −0.294611 | − | 0.367692i | ||||
\(41\) | −255.731 | − | 304.768i | −0.974109 | − | 1.16090i | −0.986958 | − | 0.160981i | \(-0.948534\pi\) |
0.0128483 | − | 0.999917i | \(-0.495910\pi\) | |||||||
\(42\) | −210.642 | + | 65.5296i | −0.773876 | + | 0.240749i | ||||
\(43\) | −24.4480 | − | 67.1703i | −0.0867042 | − | 0.238218i | 0.888761 | − | 0.458370i | \(-0.151567\pi\) |
−0.975465 | + | 0.220153i | \(0.929344\pi\) | |||||||
\(44\) | −45.2710 | + | 75.7488i | −0.155110 | + | 0.259535i | ||||
\(45\) | −11.3429 | + | 141.776i | −0.0375754 | + | 0.469661i | ||||
\(46\) | −268.759 | − | 473.722i | −0.861443 | − | 1.51840i | ||||
\(47\) | −59.0533 | + | 334.908i | −0.183273 | + | 1.03939i | 0.744882 | + | 0.667196i | \(0.232506\pi\) |
−0.928155 | + | 0.372195i | \(0.878605\pi\) | |||||||
\(48\) | 23.2912 | − | 331.737i | 0.0700375 | − | 0.997544i | ||||
\(49\) | −110.604 | − | 40.2566i | −0.322461 | − | 0.117366i | ||||
\(50\) | −257.761 | − | 96.0258i | −0.729059 | − | 0.271602i | ||||
\(51\) | 228.999 | − | 177.073i | 0.628752 | − | 0.486180i | ||||
\(52\) | 25.9069 | − | 134.983i | 0.0690892 | − | 0.359976i | ||||
\(53\) | − | 357.610i | − | 0.926821i | −0.886144 | − | 0.463411i | \(-0.846626\pi\) | ||
0.886144 | − | 0.463411i | \(-0.153374\pi\) | |||||||
\(54\) | −291.597 | + | 269.138i | −0.734839 | + | 0.678242i | ||||
\(55\) | − | 58.1071i | − | 0.142457i | ||||||
\(56\) | −224.146 | + | 255.169i | −0.534870 | + | 0.608899i | ||||
\(57\) | 244.006 | + | 100.010i | 0.567006 | + | 0.232397i | ||||
\(58\) | −29.3114 | + | 78.6803i | −0.0663582 | + | 0.178125i | ||||
\(59\) | −136.560 | − | 49.7039i | −0.301333 | − | 0.109676i | 0.186929 | − | 0.982373i | \(-0.440147\pi\) |
−0.488262 | + | 0.872697i | \(0.662369\pi\) | |||||||
\(60\) | 98.8963 | + | 195.371i | 0.212791 | + | 0.420372i | ||||
\(61\) | −125.753 | + | 713.182i | −0.263952 | + | 1.49695i | 0.508052 | + | 0.861327i | \(0.330366\pi\) |
−0.772003 | + | 0.635618i | \(0.780745\pi\) | |||||||
\(62\) | −105.695 | + | 59.9642i | −0.216504 | + | 0.122830i | ||||
\(63\) | 403.452 | − | 38.3205i | 0.806828 | − | 0.0766338i | ||||
\(64\) | −235.674 | − | 454.535i | −0.460300 | − | 0.887763i | ||||
\(65\) | 30.9542 | + | 85.0460i | 0.0590676 | + | 0.162287i | ||||
\(66\) | 109.982 | − | 119.106i | 0.205119 | − | 0.222135i | ||||
\(67\) | −193.233 | − | 230.286i | −0.352345 | − | 0.419908i | 0.560539 | − | 0.828128i | \(-0.310594\pi\) |
−0.912884 | + | 0.408220i | \(0.866150\pi\) | |||||||
\(68\) | 158.731 | − | 416.450i | 0.283074 | − | 0.742677i | ||||
\(69\) | 304.426 | + | 953.153i | 0.531139 | + | 1.66299i | ||||
\(70\) | 40.4950 | − | 219.942i | 0.0691439 | − | 0.375545i | ||||
\(71\) | −384.018 | − | 665.139i | −0.641895 | − | 1.11180i | −0.985009 | − | 0.172501i | \(-0.944815\pi\) |
0.343114 | − | 0.939294i | \(-0.388518\pi\) | |||||||
\(72\) | −167.075 | + | 587.651i | −0.273472 | + | 0.961880i | ||||
\(73\) | 213.928 | − | 370.534i | 0.342991 | − | 0.594079i | −0.641995 | − | 0.766709i | \(-0.721893\pi\) |
0.984987 | + | 0.172630i | \(0.0552265\pi\) | |||||||
\(74\) | 693.545 | + | 590.927i | 1.08950 | + | 0.928295i | ||||
\(75\) | 427.197 | + | 269.928i | 0.657713 | + | 0.415582i | ||||
\(76\) | 400.852 | − | 64.4608i | 0.605012 | − | 0.0972916i | ||||
\(77\) | −163.055 | + | 28.7510i | −0.241323 | + | 0.0425517i | ||||
\(78\) | −97.5220 | + | 232.913i | −0.141567 | + | 0.338105i | ||||
\(79\) | −506.928 | + | 604.133i | −0.721948 | + | 0.860384i | −0.994818 | − | 0.101667i | \(-0.967582\pi\) |
0.272871 | + | 0.962051i | \(0.412027\pi\) | |||||||
\(80\) | 286.749 | + | 177.300i | 0.400744 | + | 0.247785i | ||||
\(81\) | 625.846 | − | 373.842i | 0.858499 | − | 0.512815i | ||||
\(82\) | 970.249 | + | 569.976i | 1.30666 | + | 0.767602i | ||||
\(83\) | −477.418 | − | 400.601i | −0.631366 | − | 0.529779i | 0.269987 | − | 0.962864i | \(-0.412981\pi\) |
−0.901353 | + | 0.433085i | \(0.857425\pi\) | |||||||
\(84\) | 499.301 | − | 374.183i | 0.648550 | − | 0.486032i | ||||
\(85\) | 50.9593 | + | 289.005i | 0.0650272 | + | 0.368788i | ||||
\(86\) | 128.786 | + | 155.854i | 0.161481 | + | 0.195421i | ||||
\(87\) | 82.3943 | − | 130.400i | 0.101536 | − | 0.160693i | ||||
\(88\) | 48.8938 | − | 244.761i | 0.0592283 | − | 0.296496i | ||||
\(89\) | −757.504 | − | 437.345i | −0.902194 | − | 0.520882i | −0.0242828 | − | 0.999705i | \(-0.507730\pi\) |
−0.877911 | + | 0.478823i | \(0.841064\pi\) | |||||||
\(90\) | −104.075 | − | 388.589i | −0.121894 | − | 0.455121i | ||||
\(91\) | 223.333 | − | 128.941i | 0.257271 | − | 0.148535i | ||||
\(92\) | 1165.02 | + | 1007.91i | 1.32024 | + | 1.14219i | ||||
\(93\) | 212.663 | − | 67.9220i | 0.237119 | − | 0.0757331i | ||||
\(94\) | −159.877 | − | 948.496i | −0.175426 | − | 1.04074i | ||||
\(95\) | −204.794 | + | 171.842i | −0.221173 | + | 0.185586i | ||||
\(96\) | 252.182 | + | 906.168i | 0.268106 | + | 0.963389i | ||||
\(97\) | −1229.08 | + | 447.348i | −1.28654 | + | 0.468261i | −0.892589 | − | 0.450872i | \(-0.851113\pi\) |
−0.393947 | + | 0.919133i | \(0.628891\pi\) | |||||||
\(98\) | 332.903 | + | 2.51156i | 0.343146 | + | 0.00258884i | ||||
\(99\) | −242.692 | + | 172.636i | −0.246378 | + | 0.175259i | ||||
\(100\) | 777.918 | + | 11.7386i | 0.777918 | + | 0.0117386i | ||||
\(101\) | 1344.07 | + | 236.995i | 1.32416 | + | 0.233484i | 0.790628 | − | 0.612297i | \(-0.209754\pi\) |
0.533529 | + | 0.845782i | \(0.320866\pi\) | |||||||
\(102\) | −442.559 | + | 688.844i | −0.429607 | + | 0.668684i | ||||
\(103\) | −309.639 | + | 850.725i | −0.296210 | + | 0.813829i | 0.698915 | + | 0.715205i | \(0.253667\pi\) |
−0.995125 | + | 0.0986247i | \(0.968556\pi\) | |||||||
\(104\) | 58.8254 | + | 384.281i | 0.0554645 | + | 0.362325i | ||||
\(105\) | −155.815 | + | 380.159i | −0.144819 | + | 0.353330i | ||||
\(106\) | 338.764 | + | 953.058i | 0.310412 | + | 0.873294i | ||||
\(107\) | −758.980 | −0.685732 | −0.342866 | − | 0.939384i | \(-0.611398\pi\) | ||||
−0.342866 | + | 0.939384i | \(0.611398\pi\) | |||||||
\(108\) | 522.173 | − | 993.503i | 0.465242 | − | 0.885184i | ||||
\(109\) | −1041.71 | −0.915393 | −0.457696 | − | 0.889109i | \(-0.651325\pi\) | ||||
−0.457696 | + | 0.889109i | \(0.651325\pi\) | |||||||
\(110\) | 55.0449 | + | 154.860i | 0.0477120 | + | 0.134230i | ||||
\(111\) | −1023.93 | − | 1324.19i | −0.875560 | − | 1.13232i | ||||
\(112\) | 355.644 | − | 892.377i | 0.300046 | − | 0.752872i | ||||
\(113\) | 723.369 | − | 1987.44i | 0.602202 | − | 1.65454i | −0.144601 | − | 0.989490i | \(-0.546190\pi\) |
0.746802 | − | 0.665046i | \(-0.231588\pi\) | |||||||
\(114\) | −745.033 | − | 35.3874i | −0.612094 | − | 0.0290731i | ||||
\(115\) | −998.963 | − | 176.144i | −0.810032 | − | 0.142831i | ||||
\(116\) | 3.58313 | − | 237.456i | 0.00286798 | − | 0.190062i | ||||
\(117\) | 263.241 | − | 381.956i | 0.208005 | − | 0.301811i | ||||
\(118\) | 411.028 | + | 3.10097i | 0.320663 | + | 0.00241922i | ||||
\(119\) | 785.765 | − | 285.995i | 0.605302 | − | 0.220312i | ||||
\(120\) | −448.641 | − | 426.995i | −0.341293 | − | 0.324826i | ||||
\(121\) | −926.395 | + | 777.338i | −0.696014 | + | 0.584025i | ||||
\(122\) | −340.456 | − | 2019.81i | −0.252651 | − | 1.49889i | ||||
\(123\) | −1529.33 | − | 1390.96i | −1.12110 | − | 1.01966i | ||||
\(124\) | 224.880 | − | 259.934i | 0.162861 | − | 0.188248i | ||||
\(125\) | −1013.91 | + | 585.380i | −0.725494 | + | 0.418864i | ||||
\(126\) | −1038.93 | + | 484.317i | −0.734564 | + | 0.342432i | ||||
\(127\) | 2043.42 | + | 1179.77i | 1.42775 | + | 0.824313i | 0.996943 | − | 0.0781303i | \(-0.0248950\pi\) |
0.430809 | + | 0.902443i | \(0.358228\pi\) | |||||||
\(128\) | 1058.67 | + | 988.116i | 0.731047 | + | 0.682327i | ||||
\(129\) | −172.729 | − | 328.820i | −0.117891 | − | 0.224426i | ||||
\(130\) | −163.059 | − | 197.331i | −0.110010 | − | 0.133131i | ||||
\(131\) | 23.7548 | + | 134.720i | 0.0158432 | + | 0.0898515i | 0.991704 | − | 0.128542i | \(-0.0410296\pi\) |
−0.975861 | + | 0.218393i | \(0.929918\pi\) | |||||||
\(132\) | −180.282 | + | 421.612i | −0.118875 | + | 0.278005i | ||||
\(133\) | 583.540 | + | 489.648i | 0.380446 | + | 0.319232i | ||||
\(134\) | 733.129 | + | 430.679i | 0.472632 | + | 0.277649i | ||||
\(135\) | 40.4644 | + | 737.935i | 0.0257972 | + | 0.470455i | ||||
\(136\) | −28.5276 | + | 1260.24i | −0.0179869 | + | 0.794592i | ||||
\(137\) | 561.038 | − | 668.619i | 0.349874 | − | 0.416963i | −0.562192 | − | 0.827007i | \(-0.690042\pi\) |
0.912066 | + | 0.410043i | \(0.134486\pi\) | |||||||
\(138\) | −1714.24 | − | 2251.84i | −1.05743 | − | 1.38905i | ||||
\(139\) | 2707.38 | − | 477.385i | 1.65207 | − | 0.291304i | 0.731486 | − | 0.681856i | \(-0.238827\pi\) |
0.920581 | + | 0.390553i | \(0.127716\pi\) | |||||||
\(140\) | 100.429 | + | 624.524i | 0.0606273 | + | 0.377013i | ||||
\(141\) | −70.5191 | + | 1765.67i | −0.0421190 | + | 1.05458i | ||||
\(142\) | 1653.52 | + | 1408.86i | 0.977187 | + | 0.832600i | ||||
\(143\) | −94.7585 | + | 164.126i | −0.0554133 | + | 0.0959786i | ||||
\(144\) | −111.414 | − | 1724.40i | −0.0644756 | − | 0.997919i | ||||
\(145\) | 78.1874 | + | 135.424i | 0.0447800 | + | 0.0775613i | ||||
\(146\) | −219.127 | + | 1190.16i | −0.124213 | + | 0.674643i | ||||
\(147\) | −597.590 | − | 130.155i | −0.335295 | − | 0.0730272i | ||||
\(148\) | −2408.14 | − | 917.869i | −1.33748 | − | 0.509786i | ||||
\(149\) | 377.406 | + | 449.775i | 0.207506 | + | 0.247296i | 0.859752 | − | 0.510711i | \(-0.170618\pi\) |
−0.652247 | + | 0.758007i | \(0.726173\pi\) | |||||||
\(150\) | −1394.22 | − | 314.695i | −0.758915 | − | 0.171299i | ||||
\(151\) | 324.585 | + | 891.790i | 0.174929 | + | 0.480615i | 0.995911 | − | 0.0903400i | \(-0.0287954\pi\) |
−0.820981 | + | 0.570955i | \(0.806573\pi\) | |||||||
\(152\) | −1007.24 | + | 551.520i | −0.537485 | + | 0.294304i | ||||
\(153\) | 1055.67 | − | 1071.47i | 0.557813 | − | 0.566166i | ||||
\(154\) | 407.318 | − | 231.086i | 0.213134 | − | 0.120918i | ||||
\(155\) | −39.3004 | + | 222.884i | −0.0203657 | + | 0.115500i | ||||
\(156\) | 39.2653 | − | 713.112i | 0.0201522 | − | 0.365991i | ||||
\(157\) | −1326.90 | − | 482.952i | −0.674511 | − | 0.245502i | −0.0180220 | − | 0.999838i | \(-0.505737\pi\) |
−0.656489 | + | 0.754336i | \(0.727959\pi\) | |||||||
\(158\) | 778.706 | − | 2090.27i | 0.392092 | − | 1.05249i | ||||
\(159\) | −249.387 | − | 1841.39i | −0.124388 | − | 0.918436i | ||||
\(160\) | −932.164 | − | 200.882i | −0.460588 | − | 0.0992568i | ||||
\(161\) | 2890.36i | 1.41486i | ||||||||
\(162\) | −1313.78 | + | 1589.18i | −0.637165 | + | 0.770728i | ||||
\(163\) | − | 1659.44i | − | 0.797409i | −0.917080 | − | 0.398704i | \(-0.869460\pi\) | ||
0.917080 | − | 0.398704i | \(-0.130540\pi\) | |||||||
\(164\) | −3125.73 | − | 599.912i | −1.48828 | − | 0.285642i | ||||
\(165\) | −40.5222 | − | 299.202i | −0.0191191 | − | 0.141169i | ||||
\(166\) | 1651.84 | + | 615.374i | 0.772337 | + | 0.287725i | ||||
\(167\) | 962.850 | + | 350.449i | 0.446153 | + | 0.162386i | 0.555320 | − | 0.831637i | \(-0.312596\pi\) |
−0.109167 | + | 0.994023i | \(0.534818\pi\) | |||||||
\(168\) | −976.211 | + | 1470.21i | −0.448311 | + | 0.675175i | ||||
\(169\) | −330.248 | + | 1872.93i | −0.150318 | + | 0.852493i | ||||
\(170\) | −409.584 | − | 721.945i | −0.184786 | − | 0.325710i | ||||
\(171\) | 1326.16 | + | 344.803i | 0.593066 | + | 0.154198i | ||||
\(172\) | −490.865 | − | 293.364i | −0.217605 | − | 0.130051i | ||||
\(173\) | −944.987 | − | 2596.33i | −0.415295 | − | 1.14101i | −0.954336 | − | 0.298734i | \(-0.903436\pi\) |
0.539042 | − | 0.842279i | \(-0.318787\pi\) | |||||||
\(174\) | −96.0592 | + | 425.577i | −0.0418519 | + | 0.185419i | ||||
\(175\) | 938.295 | + | 1118.22i | 0.405305 | + | 0.483024i | ||||
\(176\) | 101.557 | + | 698.624i | 0.0434951 | + | 0.299209i | ||||
\(177\) | −737.831 | − | 160.700i | −0.313327 | − | 0.0682425i | ||||
\(178\) | 2433.10 | + | 447.974i | 1.02454 | + | 0.188635i | ||||
\(179\) | −2113.14 | − | 3660.06i | −0.882364 | − | 1.52830i | −0.848705 | − | 0.528866i | \(-0.822617\pi\) |
−0.0336586 | − | 0.999433i | \(-0.510716\pi\) | |||||||
\(180\) | 645.478 | + | 937.028i | 0.267284 | + | 0.388011i | ||||
\(181\) | 958.548 | − | 1660.25i | 0.393637 | − | 0.681800i | −0.599289 | − | 0.800533i | \(-0.704550\pi\) |
0.992926 | + | 0.118733i | \(0.0378833\pi\) | |||||||
\(182\) | −473.052 | + | 555.201i | −0.192665 | + | 0.226122i | ||||
\(183\) | −150.169 | + | 3759.98i | −0.0606604 | + | 1.51883i | ||||
\(184\) | −4059.66 | − | 1582.53i | −1.62653 | − | 0.634053i | ||||
\(185\) | 1671.18 | − | 294.674i | 0.664148 | − | 0.117107i | ||||
\(186\) | −502.419 | + | 382.472i | −0.198060 | + | 0.150775i | ||||
\(187\) | −395.003 | + | 470.747i | −0.154468 | + | 0.184088i | ||||
\(188\) | 1324.59 | + | 2376.36i | 0.513862 | + | 0.921883i | ||||
\(189\) | 2050.71 | − | 478.673i | 0.789244 | − | 0.184224i | ||||
\(190\) | 383.004 | − | 651.974i | 0.146242 | − | 0.248943i | ||||
\(191\) | 2244.88 | + | 1883.68i | 0.850441 | + | 0.713604i | 0.959887 | − | 0.280388i | \(-0.0904633\pi\) |
−0.109446 | + | 0.993993i | \(0.534908\pi\) | |||||||
\(192\) | −1530.50 | − | 2176.11i | −0.575282 | − | 0.817955i | ||||
\(193\) | −410.087 | − | 2325.72i | −0.152947 | − | 0.867404i | −0.960639 | − | 0.277799i | \(-0.910395\pi\) |
0.807692 | − | 0.589604i | \(-0.200716\pi\) | |||||||
\(194\) | 2851.81 | − | 2356.52i | 1.05540 | − | 0.872105i | ||||
\(195\) | 218.696 | + | 416.327i | 0.0803136 | + | 0.152891i | ||||
\(196\) | −889.591 | + | 308.666i | −0.324195 | + | 0.112488i | ||||
\(197\) | −371.894 | − | 214.713i | −0.134499 | − | 0.0776531i | 0.431241 | − | 0.902237i | \(-0.358076\pi\) |
−0.565740 | + | 0.824584i | \(0.691409\pi\) | |||||||
\(198\) | 483.253 | − | 689.991i | 0.173451 | − | 0.247654i | ||||
\(199\) | 690.717 | − | 398.786i | 0.246048 | − | 0.142056i | −0.371905 | − | 0.928271i | \(-0.621295\pi\) |
0.617954 | + | 0.786215i | \(0.287962\pi\) | |||||||
\(200\) | −2084.33 | + | 705.638i | −0.736922 | + | 0.249481i | ||||
\(201\) | −1155.58 | − | 1051.02i | −0.405513 | − | 0.368822i | ||||
\(202\) | −3806.55 | + | 641.625i | −1.32588 | + | 0.223488i | ||||
\(203\) | 341.330 | − | 286.410i | 0.118013 | − | 0.0990247i | ||||
\(204\) | 526.911 | − | 2255.06i | 0.180839 | − | 0.773949i | ||||
\(205\) | 1969.37 | − | 716.791i | 0.670958 | − | 0.244209i | ||||
\(206\) | 19.3180 | − | 2560.57i | 0.00653373 | − | 0.866035i | ||||
\(207\) | 2232.23 | + | 4695.62i | 0.749521 | + | 1.57666i | ||||
\(208\) | −520.803 | − | 968.411i | −0.173612 | − | 0.322823i | ||||
\(209\) | −551.308 | − | 97.2105i | −0.182463 | − | 0.0321731i | ||||
\(210\) | 55.1332 | − | 1160.75i | 0.0181169 | − | 0.381427i | ||||
\(211\) | −1564.94 | + | 4299.63i | −0.510591 | + | 1.40284i | 0.370032 | + | 0.929019i | \(0.379347\pi\) |
−0.880623 | + | 0.473818i | \(0.842875\pi\) | |||||||
\(212\) | −1805.66 | − | 2219.06i | −0.584969 | − | 0.718894i | ||||
\(213\) | −2441.21 | − | 3157.09i | −0.785301 | − | 1.01559i | ||||
\(214\) | 2022.74 | − | 718.982i | 0.646128 | − | 0.229666i | ||||
\(215\) | 376.544 | 0.119442 | ||||||||
\(216\) | −450.484 | + | 3142.41i | −0.141905 | + | 0.989880i | ||||
\(217\) | 644.882 | 0.201739 | ||||||||
\(218\) | 2776.24 | − | 986.813i | 0.862525 | − | 0.306584i | ||||
\(219\) | 843.146 | − | 2057.12i | 0.260158 | − | 0.634737i | ||||
\(220\) | −293.397 | − | 360.569i | −0.0899129 | − | 0.110498i | ||||
\(221\) | 327.359 | − | 899.410i | 0.0996404 | − | 0.273760i | ||||
\(222\) | 3983.26 | + | 2559.11i | 1.20423 | + | 0.773676i | ||||
\(223\) | −4207.82 | − | 741.952i | −1.26357 | − | 0.222802i | −0.498581 | − | 0.866843i | \(-0.666145\pi\) |
−0.764991 | + | 0.644041i | \(0.777256\pi\) | |||||||
\(224\) | −102.468 | + | 2715.15i | −0.0305644 | + | 0.809883i | ||||
\(225\) | 2387.94 | + | 1091.99i | 0.707538 | + | 0.323551i | ||||
\(226\) | −45.1301 | + | 5981.92i | −0.0132832 | + | 1.76067i | ||||
\(227\) | 3006.83 | − | 1094.40i | 0.879166 | − | 0.319990i | 0.137293 | − | 0.990531i | \(-0.456160\pi\) |
0.741873 | + | 0.670540i | \(0.233938\pi\) | |||||||
\(228\) | 2019.09 | − | 611.460i | 0.586481 | − | 0.177609i | ||||
\(229\) | 1724.52 | − | 1447.04i | 0.497638 | − | 0.417568i | −0.359116 | − | 0.933293i | \(-0.616922\pi\) |
0.856754 | + | 0.515725i | \(0.172477\pi\) | |||||||
\(230\) | 2829.17 | − | 476.880i | 0.811087 | − | 0.136715i | ||||
\(231\) | −819.544 | + | 261.753i | −0.233429 | + | 0.0745544i | ||||
\(232\) | 215.392 | + | 636.231i | 0.0609535 | + | 0.180046i | ||||
\(233\) | −1600.60 | + | 924.108i | −0.450038 | + | 0.259830i | −0.707846 | − | 0.706366i | \(-0.750333\pi\) |
0.257808 | + | 0.966196i | \(0.417000\pi\) | |||||||
\(234\) | −339.728 | + | 1267.31i | −0.0949092 | + | 0.354045i | ||||
\(235\) | −1551.42 | − | 895.713i | −0.430653 | − | 0.248638i | ||||
\(236\) | −1098.36 | + | 381.103i | −0.302954 | + | 0.105117i | ||||
\(237\) | −2188.94 | + | 3464.29i | −0.599945 | + | 0.949492i | ||||
\(238\) | −1823.20 | + | 1506.55i | −0.496557 | + | 0.410317i | ||||
\(239\) | 1134.74 | + | 6435.45i | 0.307115 | + | 1.74174i | 0.613378 | + | 0.789789i | \(0.289810\pi\) |
−0.306263 | + | 0.951947i | \(0.599079\pi\) | |||||||
\(240\) | 1600.16 | + | 712.975i | 0.430373 | + | 0.191760i | ||||
\(241\) | 5332.72 | + | 4474.68i | 1.42535 | + | 1.19601i | 0.948396 | + | 0.317089i | \(0.102705\pi\) |
0.476959 | + | 0.878926i | \(0.341739\pi\) | |||||||
\(242\) | 1732.54 | − | 2949.24i | 0.460214 | − | 0.783406i | ||||
\(243\) | 2961.86 | − | 2361.41i | 0.781908 | − | 0.623394i | ||||
\(244\) | 2820.71 | + | 5060.43i | 0.740071 | + | 1.32771i | ||||
\(245\) | 398.545 | − | 474.968i | 0.103927 | − | 0.123855i | ||||
\(246\) | 5393.44 | + | 2258.27i | 1.39786 | + | 0.585292i | ||||
\(247\) | 858.683 | − | 151.409i | 0.221201 | − | 0.0390037i | ||||
\(248\) | −353.086 | + | 905.771i | −0.0904073 | + | 0.231921i | ||||
\(249\) | −2737.66 | − | 1729.82i | −0.696756 | − | 0.440251i | ||||
\(250\) | 2147.61 | − | 2520.56i | 0.543307 | − | 0.637656i | ||||
\(251\) | −586.634 | + | 1016.08i | −0.147522 | + | 0.255516i | −0.930311 | − | 0.366772i | \(-0.880463\pi\) |
0.782789 | + | 0.622287i | \(0.213796\pi\) | |||||||
\(252\) | 2310.03 | − | 2274.92i | 0.577453 | − | 0.568676i | ||||
\(253\) | −1062.06 | − | 1839.54i | −0.263917 | − | 0.457117i | ||||
\(254\) | −6563.47 | − | 1208.44i | −1.62137 | − | 0.298521i | ||||
\(255\) | 463.940 | + | 1452.59i | 0.113934 | + | 0.356724i | ||||
\(256\) | −3757.47 | − | 1630.53i | −0.917352 | − | 0.398077i | ||||
\(257\) | 2782.20 | + | 3315.70i | 0.675288 | + | 0.804777i | 0.989493 | − | 0.144578i | \(-0.0461824\pi\) |
−0.314205 | + | 0.949355i | \(0.601738\pi\) | |||||||
\(258\) | 771.826 | + | 712.704i | 0.186247 | + | 0.171981i | ||||
\(259\) | −1653.77 | − | 4543.71i | −0.396759 | − | 1.09009i | ||||
\(260\) | 621.497 | + | 371.436i | 0.148245 | + | 0.0885979i | ||||
\(261\) | 333.323 | − | 728.906i | 0.0790505 | − | 0.172867i | ||||
\(262\) | −190.929 | − | 336.536i | −0.0450214 | − | 0.0793560i | ||||
\(263\) | 437.815 | − | 2482.97i | 0.102650 | − | 0.582155i | −0.889483 | − | 0.456967i | \(-0.848936\pi\) |
0.992133 | − | 0.125188i | \(-0.0399533\pi\) | |||||||
\(264\) | 81.0718 | − | 1294.41i | 0.0189001 | − | 0.301763i | ||||
\(265\) | 1770.19 | + | 644.297i | 0.410347 | + | 0.149354i | ||||
\(266\) | −2019.02 | − | 752.161i | −0.465391 | − | 0.173376i | ||||
\(267\) | −4205.49 | − | 1723.69i | −0.963939 | − | 0.395087i | ||||
\(268\) | −2361.82 | − | 453.299i | −0.538326 | − | 0.103320i | ||||
\(269\) | 6671.76i | 1.51221i | 0.654450 | + | 0.756105i | \(0.272900\pi\) | ||||
−0.654450 | + | 0.756105i | \(0.727100\pi\) | |||||||
\(270\) | −806.887 | − | 1928.32i | −0.181872 | − | 0.434644i | ||||
\(271\) | − | 3386.70i | − | 0.759142i | −0.925163 | − | 0.379571i | \(-0.876072\pi\) | ||
0.925163 | − | 0.379571i | \(-0.123928\pi\) | |||||||
\(272\) | −1117.80 | − | 3385.65i | −0.249178 | − | 0.754725i | ||||
\(273\) | 1060.05 | − | 819.682i | 0.235008 | − | 0.181719i | ||||
\(274\) | −861.825 | + | 2313.39i | −0.190017 | + | 0.510062i | ||||
\(275\) | −1008.05 | − | 366.902i | −0.221047 | − | 0.0804546i | ||||
\(276\) | 6701.74 | + | 4377.42i | 1.46159 | + | 0.954673i | ||||
\(277\) | 1092.44 | − | 6195.54i | 0.236962 | − | 1.34388i | −0.601480 | − | 0.798888i | \(-0.705422\pi\) |
0.838442 | − | 0.544990i | \(-0.183467\pi\) | |||||||
\(278\) | −6763.15 | + | 3836.97i | −1.45909 | + | 0.827792i | ||||
\(279\) | 1047.66 | − | 498.045i | 0.224810 | − | 0.106872i | ||||
\(280\) | −859.263 | − | 1569.27i | −0.183396 | − | 0.334934i | ||||
\(281\) | 1340.45 | + | 3682.85i | 0.284571 | + | 0.781852i | 0.996802 | + | 0.0799074i | \(0.0254625\pi\) |
−0.712231 | + | 0.701945i | \(0.752315\pi\) | |||||||
\(282\) | −1484.68 | − | 4772.45i | −0.313516 | − | 1.00778i | ||||
\(283\) | −3764.68 | − | 4486.57i | −0.790767 | − | 0.942400i | 0.208599 | − | 0.978001i | \(-0.433110\pi\) |
−0.999366 | + | 0.0356014i | \(0.988665\pi\) | |||||||
\(284\) | −5741.38 | − | 2188.35i | −1.19961 | − | 0.457234i | ||||
\(285\) | −934.675 | + | 1027.66i | −0.194264 | + | 0.213590i | ||||
\(286\) | 97.0613 | − | 527.174i | 0.0200677 | − | 0.108995i | ||||
\(287\) | −2985.82 | − | 5171.60i | −0.614103 | − | 1.06366i | ||||
\(288\) | 1930.45 | + | 4490.12i | 0.394976 | + | 0.918691i | ||||
\(289\) | −904.730 | + | 1567.04i | −0.184150 | + | 0.318957i | ||||
\(290\) | −336.663 | − | 286.849i | −0.0681707 | − | 0.0580841i | ||||
\(291\) | −6016.73 | + | 3160.58i | −1.21205 | + | 0.636689i | ||||
\(292\) | −543.444 | − | 3379.43i | −0.108913 | − | 0.677282i | ||||
\(293\) | −1401.28 | + | 247.083i | −0.279397 | + | 0.0492653i | −0.311591 | − | 0.950216i | \(-0.600862\pi\) |
0.0321935 | + | 0.999482i | \(0.489751\pi\) | |||||||
\(294\) | 1715.92 | − | 219.224i | 0.340389 | − | 0.0434878i | ||||
\(295\) | 492.075 | − | 586.432i | 0.0971177 | − | 0.115740i | ||||
\(296\) | 7287.36 | + | 164.962i | 1.43098 | + | 0.0323926i | ||||
\(297\) | −1129.26 | + | 1058.18i | −0.220628 | + | 0.206739i | ||||
\(298\) | −1431.89 | − | 841.168i | −0.278346 | − | 0.163515i | ||||
\(299\) | 2534.37 | + | 2126.59i | 0.490189 | + | 0.411317i | ||||
\(300\) | 4013.80 | − | 482.054i | 0.772456 | − | 0.0927713i | ||||
\(301\) | −186.312 | − | 1056.63i | −0.0356771 | − | 0.202335i | ||||
\(302\) | −1709.84 | − | 2069.21i | −0.325795 | − | 0.394270i | ||||
\(303\) | 7086.07 | + | 283.010i | 1.34351 | + | 0.0536585i | ||||
\(304\) | 2161.91 | − | 2424.00i | 0.407874 | − | 0.457322i | ||||
\(305\) | −3303.73 | − | 1907.41i | −0.620233 | − | 0.358092i | ||||
\(306\) | −1798.42 | + | 3855.58i | −0.335977 | + | 0.720291i | ||||
\(307\) | 7658.02 | − | 4421.36i | 1.42367 | − | 0.821956i | 0.427059 | − | 0.904224i | \(-0.359550\pi\) |
0.996610 | + | 0.0822678i | \(0.0262163\pi\) | |||||||
\(308\) | −866.626 | + | 1001.71i | −0.160327 | + | 0.185318i | ||||
\(309\) | −1001.10 | + | 4596.44i | −0.184307 | + | 0.846221i | ||||
\(310\) | −106.399 | − | 631.230i | −0.0194938 | − | 0.115650i | ||||
\(311\) | −5841.26 | + | 4901.40i | −1.06504 | + | 0.893674i | −0.994594 | − | 0.103841i | \(-0.966887\pi\) |
−0.0704458 | + | 0.997516i | \(0.522442\pi\) | |||||||
\(312\) | 570.886 | + | 1937.69i | 0.103590 | + | 0.351603i | ||||
\(313\) | −5960.49 | + | 2169.44i | −1.07638 | + | 0.391770i | −0.818559 | − | 0.574423i | \(-0.805227\pi\) |
−0.257821 | + | 0.966193i | \(0.583004\pi\) | |||||||
\(314\) | 3993.79 | + | 30.1308i | 0.717779 | + | 0.00541523i | ||||
\(315\) | −537.200 | + | 2066.15i | −0.0960883 | + | 0.369570i | ||||
\(316\) | −95.1919 | + | 6308.40i | −0.0169461 | + | 1.12302i | ||||
\(317\) | −8166.82 | − | 1440.03i | −1.44698 | − | 0.255142i | −0.605682 | − | 0.795707i | \(-0.707100\pi\) |
−0.841303 | + | 0.540564i | \(0.818211\pi\) | |||||||
\(318\) | 2408.98 | + | 4671.19i | 0.424808 | + | 0.823733i | ||||
\(319\) | −111.995 | + | 307.703i | −0.0196568 | + | 0.0540065i | ||||
\(320\) | 2674.58 | − | 347.675i | 0.467230 | − | 0.0607363i | ||||
\(321\) | −3908.09 | + | 529.290i | −0.679528 | + | 0.0920314i | ||||
\(322\) | −2738.03 | − | 7703.02i | −0.473866 | − | 1.33314i | ||||
\(323\) | 2827.27 | 0.487038 | ||||||||
\(324\) | 1995.90 | − | 5479.84i | 0.342233 | − | 0.939615i | ||||
\(325\) | 1670.85 | 0.285175 | ||||||||
\(326\) | 1571.99 | + | 4422.54i | 0.267069 | + | 0.751355i | ||||
\(327\) | −5363.92 | + | 726.458i | −0.907111 | + | 0.122854i | ||||
\(328\) | 8898.59 | − | 1362.19i | 1.49800 | − | 0.229312i | ||||
\(329\) | −1745.84 | + | 4796.65i | −0.292557 | + | 0.803793i | ||||
\(330\) | 391.429 | + | 759.008i | 0.0652952 | + | 0.126612i | ||||
\(331\) | −10362.6 | − | 1827.21i | −1.72079 | − | 0.303421i | −0.775909 | − | 0.630845i | \(-0.782708\pi\) |
−0.944878 | + | 0.327424i | \(0.893819\pi\) | |||||||
\(332\) | −4985.23 | − | 75.2256i | −0.824096 | − | 0.0124354i | ||||
\(333\) | −6195.81 | − | 6104.41i | −1.01961 | − | 1.00456i | ||||
\(334\) | −2898.05 | − | 21.8641i | −0.474773 | − | 0.00358188i | ||||
\(335\) | 1488.07 | − | 541.613i | 0.242692 | − | 0.0883328i | ||||
\(336\) | 1208.94 | − | 4842.99i | 0.196289 | − | 0.786330i | ||||
\(337\) | 6199.68 | − | 5202.15i | 1.00213 | − | 0.840887i | 0.0148521 | − | 0.999890i | \(-0.495272\pi\) |
0.987278 | + | 0.159003i | \(0.0508278\pi\) | |||||||
\(338\) | −894.090 | − | 5304.33i | −0.143882 | − | 0.853603i | ||||
\(339\) | 2338.75 | − | 10738.1i | 0.374700 | − | 1.72039i | ||||
\(340\) | 1775.47 | + | 1536.04i | 0.283201 | + | 0.245010i | ||||
\(341\) | −410.428 | + | 236.961i | −0.0651787 | + | 0.0376309i | ||||
\(342\) | −3860.96 | + | 337.349i | −0.610459 | + | 0.0533385i | ||||
\(343\) | −5988.66 | − | 3457.55i | −0.942732 | − | 0.544287i | ||||
\(344\) | 1586.10 | + | 316.840i | 0.248595 | + | 0.0496595i | ||||
\(345\) | −5266.64 | − | 210.344i | −0.821873 | − | 0.0328248i | ||||
\(346\) | 4977.96 | + | 6024.23i | 0.773459 | + | 0.936024i | ||||
\(347\) | 38.3628 | + | 217.566i | 0.00593494 | + | 0.0336587i | 0.987631 | − | 0.156793i | \(-0.0501157\pi\) |
−0.981696 | + | 0.190452i | \(0.939005\pi\) | |||||||
\(348\) | −147.144 | − | 1225.19i | −0.0226660 | − | 0.188727i | ||||
\(349\) | −495.476 | − | 415.754i | −0.0759949 | − | 0.0637673i | 0.603999 | − | 0.796985i | \(-0.293573\pi\) |
−0.679994 | + | 0.733218i | \(0.738018\pi\) | |||||||
\(350\) | −3559.91 | − | 2091.28i | −0.543672 | − | 0.319382i | ||||
\(351\) | 1089.10 | − | 2150.32i | 0.165618 | − | 0.326996i | ||||
\(352\) | −932.464 | − | 1765.68i | −0.141195 | − | 0.267361i | ||||
\(353\) | 199.653 | − | 237.938i | 0.0301033 | − | 0.0358757i | −0.750783 | − | 0.660549i | \(-0.770323\pi\) |
0.780886 | + | 0.624673i | \(0.214768\pi\) | |||||||
\(354\) | 2118.61 | − | 270.672i | 0.318087 | − | 0.0406385i | ||||
\(355\) | 3984.35 | − | 702.549i | 0.595683 | − | 0.105035i | ||||
\(356\) | −6908.77 | + | 1110.99i | −1.02855 | + | 0.165401i | ||||
\(357\) | 3846.57 | − | 2020.60i | 0.570258 | − | 0.299556i | ||||
\(358\) | 9098.84 | + | 7752.55i | 1.34326 | + | 1.14451i | ||||
\(359\) | −3865.75 | + | 6695.67i | −0.568318 | + | 0.984356i | 0.428414 | + | 0.903583i | \(0.359072\pi\) |
−0.996732 | + | 0.0807739i | \(0.974261\pi\) | |||||||
\(360\) | −2607.89 | − | 1885.79i | −0.381800 | − | 0.276083i | ||||
\(361\) | −2141.71 | − | 3709.54i | −0.312248 | − | 0.540829i | ||||
\(362\) | −981.844 | + | 5332.73i | −0.142554 | + | 0.774261i | ||||
\(363\) | −4228.05 | + | 4648.66i | −0.611336 | + | 0.672153i | ||||
\(364\) | 734.778 | − | 1927.77i | 0.105804 | − | 0.277590i | ||||
\(365\) | 1448.74 | + | 1726.54i | 0.207755 | + | 0.247592i | ||||
\(366\) | −3161.61 | − | 10162.9i | −0.451530 | − | 1.45143i | ||||
\(367\) | 1856.53 | + | 5100.78i | 0.264061 | + | 0.725500i | 0.998883 | + | 0.0472415i | \(0.0150430\pi\) |
−0.734823 | + | 0.678259i | \(0.762735\pi\) | |||||||
\(368\) | 12318.4 | + | 371.847i | 1.74495 | + | 0.0526736i | ||||
\(369\) | −8844.76 | − | 6095.72i | −1.24780 | − | 0.859975i | ||||
\(370\) | −4174.67 | + | 2368.43i | −0.586569 | + | 0.332781i | ||||
\(371\) | 932.091 | − | 5286.15i | 0.130436 | − | 0.739739i | ||||
\(372\) | 976.668 | − | 1495.26i | 0.136123 | − | 0.208402i | ||||
\(373\) | 12314.2 | + | 4482.01i | 1.70940 | + | 0.622171i | 0.996840 | − | 0.0794402i | \(-0.0253133\pi\) |
0.712560 | + | 0.701611i | \(0.247536\pi\) | |||||||
\(374\) | 606.775 | − | 1628.76i | 0.0838920 | − | 0.225191i | ||||
\(375\) | −4812.53 | + | 3721.28i | −0.662715 | + | 0.512442i | ||||
\(376\) | −5781.27 | − | 5078.39i | −0.792942 | − | 0.696538i | ||||
\(377\) | − | 510.018i | − | 0.0696744i | ||||||
\(378\) | −5011.84 | + | 3218.34i | −0.681961 | + | 0.437919i | ||||
\(379\) | − | 2718.66i | − | 0.368465i | −0.982883 | − | 0.184233i | \(-0.941020\pi\) | ||
0.982883 | − | 0.184233i | \(-0.0589800\pi\) | |||||||
\(380\) | −403.120 | + | 2100.38i | −0.0544201 | + | 0.283545i | ||||
\(381\) | 11344.6 | + | 4649.79i | 1.52547 | + | 0.625238i | ||||
\(382\) | −7767.20 | − | 2893.57i | −1.04033 | − | 0.387560i | ||||
\(383\) | 3898.55 | + | 1418.96i | 0.520122 | + | 0.189309i | 0.588722 | − | 0.808335i | \(-0.299631\pi\) |
−0.0686003 | + | 0.997644i | \(0.521853\pi\) | |||||||
\(384\) | 6140.32 | + | 4349.66i | 0.816007 | + | 0.578041i | ||||
\(385\) | 151.453 | − | 858.932i | 0.0200487 | − | 0.113702i | ||||
\(386\) | 3296.07 | + | 5809.74i | 0.434625 | + | 0.766083i | ||||
\(387\) | −1118.71 | − | 1572.69i | −0.146944 | − | 0.206574i | ||||
\(388\) | −5367.96 | + | 8981.83i | −0.702363 | + | 1.17521i | ||||
\(389\) | −904.262 | − | 2484.44i | −0.117861 | − | 0.323820i | 0.866708 | − | 0.498815i | \(-0.166231\pi\) |
−0.984569 | + | 0.174995i | \(0.944009\pi\) | |||||||
\(390\) | −977.229 | − | 902.373i | −0.126882 | − | 0.117163i | ||||
\(391\) | 6895.56 | + | 8217.80i | 0.891875 | + | 1.06290i | ||||
\(392\) | 2078.43 | − | 1665.33i | 0.267797 | − | 0.214571i | ||||
\(393\) | 216.267 | + | 677.127i | 0.0277588 | + | 0.0869123i | ||||
\(394\) | 1194.52 | + | 219.931i | 0.152739 | + | 0.0281217i | ||||
\(395\) | −2077.18 | − | 3597.78i | −0.264593 | − | 0.458288i | ||||
\(396\) | −634.278 | + | 2296.66i | −0.0804890 | + | 0.291444i | ||||
\(397\) | −1188.26 | + | 2058.12i | −0.150219 | + | 0.260186i | −0.931308 | − | 0.364233i | \(-0.881331\pi\) |
0.781089 | + | 0.624420i | \(0.214664\pi\) | |||||||
\(398\) | −1463.04 | + | 1717.11i | −0.184261 | + | 0.216259i | ||||
\(399\) | 3346.19 | + | 2114.32i | 0.419848 | + | 0.265285i | ||||
\(400\) | 4886.45 | − | 3855.06i | 0.610806 | − | 0.481883i | ||||
\(401\) | 11235.9 | − | 1981.20i | 1.39924 | − | 0.246724i | 0.577410 | − | 0.816455i | \(-0.304064\pi\) |
0.821832 | + | 0.569731i | \(0.192952\pi\) | |||||||
\(402\) | 4075.33 | + | 1706.37i | 0.505619 | + | 0.211706i | ||||
\(403\) | 474.474 | − | 565.456i | 0.0586483 | − | 0.0698943i | ||||
\(404\) | 9536.92 | − | 5315.92i | 1.17445 | − | 0.654646i | ||||
\(405\) | 722.971 | + | 3771.52i | 0.0887030 | + | 0.462736i | ||||
\(406\) | −638.353 | + | 1086.64i | −0.0780319 | + | 0.132831i | ||||
\(407\) | 2722.10 | + | 2284.12i | 0.331523 | + | 0.278181i | ||||
\(408\) | 731.960 | + | 6509.04i | 0.0888172 | + | 0.789817i | ||||
\(409\) | 1256.21 | + | 7124.30i | 0.151871 | + | 0.861306i | 0.961591 | + | 0.274488i | \(0.0885084\pi\) |
−0.809719 | + | 0.586818i | \(0.800381\pi\) | |||||||
\(410\) | −4569.49 | + | 3775.88i | −0.550417 | + | 0.454823i | ||||
\(411\) | 2422.59 | − | 3834.07i | 0.290748 | − | 0.460147i | ||||
\(412\) | 2374.14 | + | 6842.40i | 0.283897 | + | 0.818206i | ||||
\(413\) | −1889.07 | − | 1090.66i | −0.225073 | − | 0.129946i | ||||
\(414\) | −10397.2 | − | 10399.6i | −1.23429 | − | 1.23457i | ||||
\(415\) | 2843.15 | − | 1641.49i | 0.336301 | − | 0.194163i | ||||
\(416\) | 2305.36 | + | 2087.53i | 0.271705 | + | 0.246033i | ||||
\(417\) | 13607.8 | − | 4346.17i | 1.59802 | − | 0.510391i | ||||
\(418\) | 1561.36 | − | 263.181i | 0.182701 | − | 0.0307957i | ||||
\(419\) | −1085.39 | + | 910.750i | −0.126551 | + | 0.106189i | −0.703866 | − | 0.710332i | \(-0.748545\pi\) |
0.577316 | + | 0.816521i | \(0.304100\pi\) | |||||||
\(420\) | 952.649 | + | 3145.73i | 0.110677 | + | 0.365466i | ||||
\(421\) | −3561.79 | + | 1296.39i | −0.412330 | + | 0.150076i | −0.539852 | − | 0.841760i | \(-0.681520\pi\) |
0.127522 | + | 0.991836i | \(0.459298\pi\) | |||||||
\(422\) | 97.6346 | − | 12941.3i | 0.0112625 | − | 1.49283i | ||||
\(423\) | 868.214 | + | 9140.87i | 0.0997967 | + | 1.05070i | ||||
\(424\) | 6914.34 | + | 4203.45i | 0.791958 | + | 0.481457i | ||||
\(425\) | 5335.48 | + | 940.790i | 0.608962 | + | 0.107376i | ||||
\(426\) | 9496.73 | + | 6101.33i | 1.08009 | + | 0.693921i | ||||
\(427\) | −3717.74 | + | 10214.4i | −0.421345 | + | 1.15763i | ||||
\(428\) | −4709.65 | + | 3832.28i | −0.531892 | + | 0.432804i | ||||
\(429\) | −373.468 | + | 911.192i | −0.0420308 | + | 0.102547i | ||||
\(430\) | −1003.52 | + | 356.700i | −0.112544 | + | 0.0400038i | ||||
\(431\) | 9612.99 | 1.07434 | 0.537171 | − | 0.843473i | \(-0.319493\pi\) | ||||
0.537171 | + | 0.843473i | \(0.319493\pi\) | |||||||
\(432\) | −1776.23 | − | 8801.51i | −0.197822 | − | 0.980238i | ||||
\(433\) | −6852.39 | −0.760519 | −0.380259 | − | 0.924880i | \(-0.624165\pi\) | ||||
−0.380259 | + | 0.924880i | \(0.624165\pi\) | |||||||
\(434\) | −1718.66 | + | 610.897i | −0.190088 | + | 0.0675668i | ||||
\(435\) | 497.039 | + | 642.794i | 0.0547843 | + | 0.0708497i | ||||
\(436\) | −6464.07 | + | 5259.86i | −0.710030 | + | 0.577756i | ||||
\(437\) | −3342.43 | + | 9183.26i | −0.365882 | + | 1.00525i | ||||
\(438\) | −298.337 | + | 6281.09i | −0.0325459 | + | 0.685211i | ||||
\(439\) | 5818.42 | + | 1025.94i | 0.632569 | + | 0.111539i | 0.480734 | − | 0.876867i | \(-0.340370\pi\) |
0.151836 | + | 0.988406i | \(0.451482\pi\) | |||||||
\(440\) | 1123.49 | + | 683.007i | 0.121728 | + | 0.0740025i | ||||
\(441\) | −3167.84 | − | 253.445i | −0.342063 | − | 0.0273669i | ||||
\(442\) | −20.4235 | + | 2707.10i | −0.00219785 | + | 0.291321i | ||||
\(443\) | 5353.56 | − | 1948.54i | 0.574165 | − | 0.208979i | −0.0385855 | − | 0.999255i | \(-0.512285\pi\) |
0.612751 | + | 0.790276i | \(0.290063\pi\) | |||||||
\(444\) | −13039.9 | − | 3046.88i | −1.39380 | − | 0.325672i | ||||
\(445\) | 3529.66 | − | 2961.74i | 0.376005 | − | 0.315505i | ||||
\(446\) | 11917.0 | − | 2008.71i | 1.26522 | − | 0.213263i | ||||
\(447\) | 2256.98 | + | 2052.77i | 0.238818 | + | 0.217209i | ||||
\(448\) | −2298.98 | − | 7333.15i | −0.242448 | − | 0.773346i | ||||
\(449\) | 16226.7 | − | 9368.48i | 1.70553 | − | 0.984690i | 0.765609 | − | 0.643306i | \(-0.222438\pi\) |
0.939924 | − | 0.341384i | \(-0.110896\pi\) | |||||||
\(450\) | −7398.47 | − | 648.127i | −0.775039 | − | 0.0678956i | ||||
\(451\) | 3800.59 | + | 2194.27i | 0.396813 | + | 0.229100i | ||||
\(452\) | −5546.40 | − | 15985.0i | −0.577170 | − | 1.66343i | ||||
\(453\) | 2293.24 | + | 4365.60i | 0.237850 | + | 0.452790i | ||||
\(454\) | −6976.71 | + | 5765.03i | −0.721219 | + | 0.595961i | ||||
\(455\) | 235.894 | + | 1337.82i | 0.0243052 | + | 0.137842i | ||||
\(456\) | −4801.79 | + | 3542.27i | −0.493124 | + | 0.363777i | ||||
\(457\) | −1064.57 | − | 893.282i | −0.108968 | − | 0.0914354i | 0.586675 | − | 0.809822i | \(-0.300436\pi\) |
−0.695644 | + | 0.718387i | \(0.744881\pi\) | |||||||
\(458\) | −3225.18 | + | 5490.10i | −0.329045 | + | 0.560122i | ||||
\(459\) | 4688.56 | − | 6253.35i | 0.476782 | − | 0.635907i | ||||
\(460\) | −7088.20 | + | 3951.00i | −0.718455 | + | 0.400470i | ||||
\(461\) | 615.731 | − | 733.799i | 0.0622070 | − | 0.0741354i | −0.734044 | − | 0.679102i | \(-0.762369\pi\) |
0.796251 | + | 0.604967i | \(0.206814\pi\) | |||||||
\(462\) | 1936.19 | − | 1473.94i | 0.194977 | − | 0.148429i | ||||
\(463\) | −3521.31 | + | 620.902i | −0.353454 | + | 0.0623234i | −0.347556 | − | 0.937659i | \(-0.612988\pi\) |
−0.00589757 | + | 0.999983i | \(0.501877\pi\) | |||||||
\(464\) | −1176.74 | − | 1491.56i | −0.117734 | − | 0.149233i | ||||
\(465\) | −46.9309 | + | 1175.07i | −0.00468036 | + | 0.117188i | ||||
\(466\) | 3390.32 | − | 3979.07i | 0.337024 | − | 0.395551i | ||||
\(467\) | 338.092 | − | 585.593i | 0.0335012 | − | 0.0580257i | −0.848789 | − | 0.528732i | \(-0.822668\pi\) |
0.882290 | + | 0.470706i | \(0.156001\pi\) | |||||||
\(468\) | −295.121 | − | 3699.30i | −0.0291495 | − | 0.365385i | ||||
\(469\) | −2256.11 | − | 3907.70i | −0.222127 | − | 0.384736i | ||||
\(470\) | 4983.16 | + | 917.481i | 0.489055 | + | 0.0900431i | ||||
\(471\) | −7169.20 | − | 1561.45i | −0.701357 | − | 0.152755i | ||||
\(472\) | 2566.19 | − | 2056.14i | 0.250251 | − | 0.200512i | ||||
\(473\) | 506.831 | + | 604.018i | 0.0492688 | + | 0.0587162i | ||||
\(474\) | 2551.97 | − | 11306.2i | 0.247291 | − | 1.09559i | ||||
\(475\) | 1688.04 | + | 4637.86i | 0.163058 | + | 0.447999i | ||||
\(476\) | 3431.80 | − | 5742.20i | 0.330455 | − | 0.552927i | ||||
\(477\) | −2568.26 | − | 9307.64i | −0.246525 | − | 0.893433i | ||||
\(478\) | −9120.48 | − | 16076.0i | −0.872722 | − | 1.53828i | ||||
\(479\) | 1914.93 | − | 10860.1i | 0.182663 | − | 1.03593i | −0.746259 | − | 0.665655i | \(-0.768152\pi\) |
0.928922 | − | 0.370276i | \(-0.120737\pi\) | |||||||
\(480\) | −4939.94 | − | 384.305i | −0.469742 | − | 0.0365438i | ||||
\(481\) | −5200.86 | − | 1892.96i | −0.493012 | − | 0.179442i | ||||
\(482\) | −18451.0 | − | 6873.67i | −1.74361 | − | 0.649559i | ||||
\(483\) | 2015.65 | + | 14882.9i | 0.189887 | + | 1.40206i | ||||
\(484\) | −1823.53 | + | 9501.17i | −0.171256 | + | 0.892296i | ||||
\(485\) | − | 6889.99i | − | 0.645068i | ||||||
\(486\) | −5656.62 | + | 9099.12i | −0.527962 | + | 0.849268i | ||||
\(487\) | 3844.78i | 0.357749i | 0.983872 | + | 0.178874i | \(0.0572455\pi\) | ||||
−0.983872 | + | 0.178874i | \(0.942754\pi\) | |||||||
\(488\) | −12311.1 | − | 10814.4i | −1.14201 | − | 1.00316i | ||||
\(489\) | −1157.25 | − | 8544.71i | −0.107019 | − | 0.790194i | ||||
\(490\) | −612.216 | + | 1643.37i | −0.0564430 | + | 0.151510i | ||||
\(491\) | −6612.94 | − | 2406.91i | −0.607817 | − | 0.221227i | 0.0197310 | − | 0.999805i | \(-0.493719\pi\) |
−0.627548 | + | 0.778578i | \(0.715941\pi\) | |||||||
\(492\) | −16513.2 | − | 909.246i | −1.51315 | − | 0.0833170i | ||||
\(493\) | 287.171 | − | 1628.63i | 0.0262344 | − | 0.148782i | ||||
\(494\) | −2145.02 | + | 1216.95i | −0.195363 | + | 0.110836i | ||||
\(495\) | −417.309 | − | 1512.37i | −0.0378922 | − | 0.137326i | ||||
\(496\) | 82.9647 | − | 2748.43i | 0.00751054 | − | 0.248806i | ||||
\(497\) | −3942.86 | − | 10832.9i | −0.355858 | − | 0.977713i | ||||
\(498\) | 8934.72 | + | 2016.70i | 0.803965 | + | 0.181467i | ||||
\(499\) | 10804.6 | + | 12876.4i | 0.969299 | + | 1.15517i | 0.987861 | + | 0.155338i | \(0.0496468\pi\) |
−0.0185620 | + | 0.999828i | \(0.505909\pi\) | |||||||
\(500\) | −3335.82 | + | 8751.91i | −0.298365 | + | 0.782794i | ||||
\(501\) | 5202.24 | + | 1133.05i | 0.463910 | + | 0.101040i | ||||
\(502\) | 600.891 | − | 3263.65i | 0.0534245 | − | 0.290167i | ||||
\(503\) | −7323.41 | − | 12684.5i | −0.649175 | − | 1.12440i | −0.983320 | − | 0.181882i | \(-0.941781\pi\) |
0.334146 | − | 0.942521i | \(-0.391552\pi\) | |||||||
\(504\) | −4001.37 | + | 8251.12i | −0.353641 | + | 0.729234i | ||||
\(505\) | −3594.72 | + | 6226.23i | −0.316758 | + | 0.548641i | ||||
\(506\) | 4573.05 | + | 3896.41i | 0.401773 | + | 0.342326i | ||||
\(507\) | −394.368 | + | 9874.28i | −0.0345454 | + | 0.864955i | ||||
\(508\) | 18636.9 | − | 2996.99i | 1.62771 | − | 0.261752i | ||||
\(509\) | −14458.7 | + | 2549.46i | −1.25908 | + | 0.222010i | −0.763075 | − | 0.646310i | \(-0.776311\pi\) |
−0.496005 | + | 0.868320i | \(0.665200\pi\) | |||||||
\(510\) | −2612.47 | − | 3431.77i | −0.226828 | − | 0.297963i | ||||
\(511\) | 4128.04 | − | 4919.60i | 0.357365 | − | 0.425891i | ||||
\(512\) | 11558.5 | + | 786.016i | 0.997696 | + | 0.0678463i | ||||
\(513\) | 7069.07 | + | 850.614i | 0.608396 | + | 0.0732076i | ||||
\(514\) | −10555.7 | − | 6201.01i | −0.905825 | − | 0.532130i | ||||
\(515\) | −3653.27 | − | 3065.46i | −0.312587 | − | 0.262292i | ||||
\(516\) | −2732.12 | − | 1168.26i | −0.233091 | − | 0.0996700i | ||||
\(517\) | −651.402 | − | 3694.28i | −0.0554132 | − | 0.314264i | ||||
\(518\) | 8711.69 | + | 10542.7i | 0.738937 | + | 0.894246i | ||||
\(519\) | −6676.47 | − | 12709.9i | −0.564672 | − | 1.07495i | ||||
\(520\) | −2008.20 | − | 401.159i | −0.169356 | − | 0.0338308i | ||||
\(521\) | 4863.73 | + | 2808.07i | 0.408990 | + | 0.236130i | 0.690356 | − | 0.723470i | \(-0.257454\pi\) |
−0.281366 | + | 0.959601i | \(0.590787\pi\) | |||||||
\(522\) | −197.838 | + | 2258.35i | −0.0165883 | + | 0.189358i | ||||
\(523\) | −6896.08 | + | 3981.45i | −0.576567 | + | 0.332881i | −0.759768 | − | 0.650195i | \(-0.774687\pi\) |
0.183201 | + | 0.983075i | \(0.441354\pi\) | |||||||
\(524\) | 827.639 | + | 716.027i | 0.0689992 | + | 0.0596942i | ||||
\(525\) | 5611.22 | + | 5103.52i | 0.466465 | + | 0.424258i | ||||
\(526\) | 1185.31 | + | 7032.05i | 0.0982548 | + | 0.582913i | ||||
\(527\) | 1833.52 | − | 1538.50i | 0.151554 | − | 0.127169i | ||||
\(528\) | 1010.13 | + | 3526.49i | 0.0832582 | + | 0.290665i | ||||
\(529\) | −23411.1 | + | 8520.94i | −1.92415 | + | 0.700332i | ||||
\(530\) | −5328.03 | − | 40.1969i | −0.436670 | − | 0.00329442i | ||||
\(531\) | −3911.27 | − | 312.923i | −0.319651 | − | 0.0255738i | ||||
\(532\) | 6093.36 | + | 91.9470i | 0.496580 | + | 0.00749325i | ||||
\(533\) | −6731.48 | − | 1186.94i | −0.547041 | − | 0.0964581i | ||||
\(534\) | 12840.8 | + | 609.908i | 1.04059 | + | 0.0494257i | ||||
\(535\) | 1367.43 | − | 3756.99i | 0.110503 | − | 0.303606i | ||||
\(536\) | 6723.85 | − | 1029.28i | 0.541840 | − | 0.0829444i | ||||
\(537\) | −13433.3 | − | 17372.5i | −1.07949 | − | 1.39605i | ||||
\(538\) | −6320.16 | − | 17780.7i | −0.506471 | − | 1.42487i | ||||
\(539\) | 1298.34 | 0.103754 | ||||||||
\(540\) | 3977.11 | + | 4374.76i | 0.316940 | + | 0.348629i | ||||
\(541\) | −11590.3 | −0.921081 | −0.460541 | − | 0.887639i | \(-0.652344\pi\) | ||||
−0.460541 | + | 0.887639i | \(0.652344\pi\) | |||||||
\(542\) | 3208.22 | + | 9025.81i | 0.254253 | + | 0.715299i | ||||
\(543\) | 3777.89 | − | 9217.35i | 0.298572 | − | 0.728461i | ||||
\(544\) | 6186.24 | + | 7964.13i | 0.487560 | + | 0.627682i | ||||
\(545\) | 1876.82 | − | 5156.53i | 0.147513 | − | 0.405287i | ||||
\(546\) | −2048.63 | + | 3188.70i | −0.160574 | + | 0.249934i | ||||
\(547\) | −1509.97 | − | 266.248i | −0.118028 | − | 0.0208116i | 0.114322 | − | 0.993444i | \(-0.463530\pi\) |
−0.232350 | + | 0.972632i | \(0.574642\pi\) | |||||||
\(548\) | 105.353 | − | 6981.77i | 0.00821250 | − | 0.544245i | ||||
\(549\) | 1848.85 | + | 19465.4i | 0.143729 | + | 1.51323i | ||||
\(550\) | 3034.11 | + | 22.8906i | 0.235227 | + | 0.00177465i | ||||
\(551\) | 1415.68 | − | 515.266i | 0.109456 | − | 0.0398386i | ||||
\(552\) | −22007.4 | − | 5317.59i | −1.69691 | − | 0.410021i | ||||
\(553\) | −9067.99 | + | 7608.95i | −0.697306 | + | 0.585109i | ||||
\(554\) | 2957.60 | + | 17546.5i | 0.226817 | + | 1.34563i | ||||
\(555\) | 8399.63 | − | 2682.75i | 0.642423 | − | 0.205182i | ||||
\(556\) | 14389.5 | − | 16632.5i | 1.09758 | − | 1.26866i | ||||
\(557\) | 5853.94 | − | 3379.77i | 0.445313 | − | 0.257102i | −0.260536 | − | 0.965464i | \(-0.583899\pi\) |
0.705849 | + | 0.708363i | \(0.250566\pi\) | |||||||
\(558\) | −2320.30 | + | 2319.78i | −0.176033 | + | 0.175993i | ||||
\(559\) | −1063.57 | − | 614.051i | −0.0804725 | − | 0.0464608i | ||||
\(560\) | 3776.57 | + | 3368.23i | 0.284980 | + | 0.254167i | ||||
\(561\) | −1705.64 | + | 2699.41i | −0.128364 | + | 0.203153i | ||||
\(562\) | −7061.16 | − | 8545.26i | −0.529995 | − | 0.641388i | ||||
\(563\) | −985.836 | − | 5590.96i | −0.0737976 | − | 0.418527i | −0.999216 | − | 0.0395810i | \(-0.987398\pi\) |
0.925419 | − | 0.378946i | \(-0.123713\pi\) | |||||||
\(564\) | 8477.73 | + | 11312.5i | 0.632938 | + | 0.844578i | ||||
\(565\) | 8534.67 | + | 7161.44i | 0.635498 | + | 0.533246i | ||||
\(566\) | 14283.3 | + | 8390.77i | 1.06073 | + | 0.623128i | ||||
\(567\) | 10225.6 | − | 3894.86i | 0.757379 | − | 0.288481i | ||||
\(568\) | 17374.2 | + | 393.295i | 1.28346 | + | 0.0290533i | ||||
\(569\) | −583.005 | + | 694.798i | −0.0429540 | + | 0.0511906i | −0.787094 | − | 0.616833i | \(-0.788415\pi\) |
0.744140 | + | 0.668024i | \(0.232860\pi\) | |||||||
\(570\) | 1517.48 | − | 3624.20i | 0.111509 | − | 0.266318i | ||||
\(571\) | −7083.28 | + | 1248.97i | −0.519135 | + | 0.0915375i | −0.427076 | − | 0.904216i | \(-0.640456\pi\) |
−0.0920596 | + | 0.995753i | \(0.529345\pi\) | |||||||
\(572\) | 240.716 | + | 1496.90i | 0.0175959 | + | 0.109421i | ||||
\(573\) | 12872.9 | + | 8133.83i | 0.938519 | + | 0.593012i | ||||
\(574\) | 12856.5 | + | 10954.2i | 0.934878 | + | 0.796551i | ||||
\(575\) | −9363.47 | + | 16218.0i | −0.679102 | + | 1.17624i | ||||
\(576\) | −9398.30 | − | 10137.8i | −0.679854 | − | 0.733348i | ||||
\(577\) | 8107.52 | + | 14042.6i | 0.584958 | + | 1.01318i | 0.994881 | + | 0.101056i | \(0.0322222\pi\) |
−0.409923 | + | 0.912120i | \(0.634444\pi\) | |||||||
\(578\) | 926.717 | − | 5033.32i | 0.0666892 | − | 0.362212i | ||||
\(579\) | −3733.48 | − | 11689.5i | −0.267976 | − | 0.839029i | ||||
\(580\) | 1168.96 | + | 445.554i | 0.0836872 | + | 0.0318977i | ||||
\(581\) | −6012.99 | − | 7166.00i | −0.429365 | − | 0.511697i | ||||
\(582\) | 13041.0 | − | 14122.8i | 0.928811 | − | 1.00586i | ||||
\(583\) | 1349.17 | + | 3706.81i | 0.0958436 | + | 0.263328i | ||||
\(584\) | 4649.66 | + | 8491.63i | 0.329459 | + | 0.601689i | ||||
\(585\) | 1416.43 | + | 1991.22i | 0.100106 | + | 0.140729i | ||||
\(586\) | 3500.44 | − | 1985.92i | 0.246761 | − | 0.139996i | ||||
\(587\) | −3657.91 | + | 20745.0i | −0.257203 | + | 1.45867i | 0.533152 | + | 0.846020i | \(0.321008\pi\) |
−0.790354 | + | 0.612650i | \(0.790104\pi\) | |||||||
\(588\) | −4365.38 | + | 2209.74i | −0.306165 | + | 0.154980i | ||||
\(589\) | 2048.92 | + | 745.747i | 0.143335 | + | 0.0521697i | ||||
\(590\) | −755.889 | + | 2029.03i | −0.0527449 | + | 0.141583i | ||||
\(591\) | −2064.67 | − | 846.240i | −0.143704 | − | 0.0588996i | ||||
\(592\) | −19577.6 | + | 6463.68i | −1.35918 | + | 0.448742i | ||||
\(593\) | 2362.18i | 0.163580i | 0.996650 | + | 0.0817901i | \(0.0260637\pi\) | ||||
−0.996650 | + | 0.0817901i | \(0.973936\pi\) | |||||||
\(594\) | 2007.16 | − | 3889.87i | 0.138645 | − | 0.268692i | ||||
\(595\) | 4404.86i | 0.303498i | ||||||||
\(596\) | 4612.93 | + | 885.347i | 0.317035 | + | 0.0608477i | ||||
\(597\) | 3278.50 | − | 2535.09i | 0.224757 | − | 0.173793i | ||||
\(598\) | −8768.81 | − | 3266.71i | −0.599638 | − | 0.223388i | ||||
\(599\) | −9512.46 | − | 3462.25i | −0.648862 | − | 0.236167i | −0.00344180 | − | 0.999994i | \(-0.501096\pi\) |
−0.645420 | + | 0.763828i | \(0.723318\pi\) | |||||||
\(600\) | −10240.4 | + | 5086.98i | −0.696773 | + | 0.346125i | ||||
\(601\) | 3245.05 | − | 18403.6i | 0.220247 | − | 1.24908i | −0.651320 | − | 0.758803i | \(-0.725784\pi\) |
0.871567 | − | 0.490277i | \(-0.163104\pi\) | |||||||
\(602\) | 1497.48 | + | 2639.49i | 0.101383 | + | 0.178700i | ||||
\(603\) | −6683.18 | − | 4605.98i | −0.451343 | − | 0.311061i | ||||
\(604\) | 6517.00 | + | 3894.86i | 0.439028 | + | 0.262384i | ||||
\(605\) | −2178.81 | − | 5986.22i | −0.146415 | − | 0.402272i | ||||
\(606\) | −19153.0 | + | 5958.39i | −1.28389 | + | 0.399411i | ||||
\(607\) | −4173.34 | − | 4973.60i | −0.279062 | − | 0.332573i | 0.608247 | − | 0.793747i | \(-0.291873\pi\) |
−0.887310 | + | 0.461174i | \(0.847428\pi\) | |||||||
\(608\) | −3465.39 | + | 8508.11i | −0.231151 | + | 0.567515i | ||||
\(609\) | 1557.82 | − | 1712.80i | 0.103655 | − | 0.113967i | ||||
\(610\) | 10611.6 | + | 1953.76i | 0.704344 | + | 0.129681i | ||||
\(611\) | 2921.38 | + | 5059.97i | 0.193431 | + | 0.335032i | ||||
\(612\) | 1140.53 | − | 11979.1i | 0.0753319 | − | 0.791217i | ||||
\(613\) | 743.166 | − | 1287.20i | 0.0489661 | − | 0.0848117i | −0.840504 | − | 0.541806i | \(-0.817741\pi\) |
0.889470 | + | 0.456994i | \(0.151074\pi\) | |||||||
\(614\) | −16220.8 | + | 19037.7i | −1.06616 | + | 1.25130i | ||||
\(615\) | 9640.68 | − | 5064.23i | 0.632113 | − | 0.332048i | ||||
\(616\) | 1360.70 | − | 3490.59i | 0.0890002 | − | 0.228312i | ||||
\(617\) | 9684.81 | − | 1707.69i | 0.631922 | − | 0.111425i | 0.151493 | − | 0.988458i | \(-0.451592\pi\) |
0.480429 | + | 0.877034i | \(0.340481\pi\) | |||||||
\(618\) | −1686.19 | − | 13198.2i | −0.109755 | − | 0.859076i | ||||
\(619\) | 10619.1 | − | 12655.3i | 0.689527 | − | 0.821747i | −0.301771 | − | 0.953380i | \(-0.597578\pi\) |
0.991298 | + | 0.131634i | \(0.0420223\pi\) | |||||||
\(620\) | 881.526 | + | 1581.48i | 0.0571015 | + | 0.102442i | ||||
\(621\) | 14768.7 | + | 22621.7i | 0.954342 | + | 1.46180i | ||||
\(622\) | 10924.3 | − | 18596.0i | 0.704219 | − | 1.19877i | ||||
\(623\) | −10057.4 | − | 8439.18i | −0.646777 | − | 0.542710i | ||||
\(624\) | −3357.03 | − | 4623.30i | −0.215367 | − | 0.296602i | ||||
\(625\) | 1040.00 | + | 5898.10i | 0.0665597 | + | 0.377479i | ||||
\(626\) | 13830.0 | − | 11428.1i | 0.883002 | − | 0.729646i | ||||
\(627\) | −2906.55 | − | 116.085i | −0.185130 | − | 0.00739391i | ||||
\(628\) | −10672.3 | + | 3703.02i | −0.678138 | + | 0.235297i | ||||
\(629\) | −15542.0 | − | 8973.15i | −0.985212 | − | 0.568812i | ||||
\(630\) | −525.587 | − | 6015.34i | −0.0332379 | − | 0.380408i | ||||
\(631\) | −11670.9 | + | 6738.17i | −0.736306 | + | 0.425107i | −0.820725 | − | 0.571324i | \(-0.806430\pi\) |
0.0844184 | + | 0.996430i | \(0.473097\pi\) | |||||||
\(632\) | −5722.26 | − | 16902.5i | −0.360157 | − | 1.06384i | ||||
\(633\) | −5059.65 | + | 23230.7i | −0.317698 | + | 1.45867i | ||||
\(634\) | 23129.3 | − | 3898.64i | 1.44887 | − | 0.244219i | ||||
\(635\) | −9521.52 | + | 7989.50i | −0.595039 | + | 0.499297i | ||||
\(636\) | −10845.1 | − | 10167.0i | −0.676159 | − | 0.633882i | ||||
\(637\) | −1900.27 | + | 691.640i | −0.118197 | + | 0.0430201i | ||||
\(638\) | 6.98723 | − | 926.145i | 0.000433585 | − | 0.0574709i | ||||
\(639\) | −14771.8 | − | 14553.9i | −0.914498 | − | 0.901006i | ||||
\(640\) | −6798.61 | + | 3460.21i | −0.419904 | + | 0.213714i | ||||
\(641\) | 7851.26 | + | 1384.39i | 0.483785 | + | 0.0853043i | 0.410221 | − | 0.911986i | \(-0.365452\pi\) |
0.0735638 | + | 0.997291i | \(0.476563\pi\) | |||||||
\(642\) | 9913.97 | − | 5112.74i | 0.609460 | − | 0.314305i | ||||
\(643\) | 10041.1 | − | 27587.6i | 0.615833 | − | 1.69199i | −0.101126 | − | 0.994874i | \(-0.532245\pi\) |
0.716960 | − | 0.697115i | \(-0.245533\pi\) | |||||||
\(644\) | 14594.1 | + | 17935.4i | 0.892996 | + | 1.09744i | ||||
\(645\) | 1938.88 | − | 262.591i | 0.118362 | − | 0.0160302i | ||||
\(646\) | −7534.88 | + | 2678.27i | −0.458910 | + | 0.163119i | ||||
\(647\) | 6716.28 | 0.408105 | 0.204053 | − | 0.978960i | \(-0.434589\pi\) | ||||
0.204053 | + | 0.978960i | \(0.434589\pi\) | |||||||
\(648\) | −128.182 | + | 16494.9i | −0.00777081 | + | 0.999970i | ||||
\(649\) | 1603.04 | 0.0969565 | ||||||||
\(650\) | −4452.93 | + | 1582.79i | −0.268705 | + | 0.0955112i | ||||
\(651\) | 3320.59 | − | 449.721i | 0.199914 | − | 0.0270752i | ||||
\(652\) | −8378.94 | − | 10297.2i | −0.503289 | − | 0.618514i | ||||
\(653\) | 2939.30 | − | 8075.65i | 0.176146 | − | 0.483958i | −0.819929 | − | 0.572465i | \(-0.805987\pi\) |
0.996076 | + | 0.0885069i | \(0.0282095\pi\) | |||||||
\(654\) | 13607.1 | − | 7017.31i | 0.813576 | − | 0.419569i | ||||
\(655\) | −709.671 | − | 125.134i | −0.0423345 | − | 0.00746472i | ||||
\(656\) | −22425.0 | + | 12060.0i | −1.33468 | + | 0.717779i | ||||
\(657\) | 2906.91 | − | 11180.4i | 0.172617 | − | 0.663910i | ||||
\(658\) | 108.921 | − | 14437.3i | 0.00645316 | − | 0.855355i | ||||
\(659\) | −12574.8 | + | 4576.84i | −0.743313 | + | 0.270544i | −0.685789 | − | 0.727800i | \(-0.740543\pi\) |
−0.0575237 | + | 0.998344i | \(0.518320\pi\) | |||||||
\(660\) | −1762.20 | − | 1652.01i | −0.103929 | − | 0.0974311i | ||||
\(661\) | −1881.54 | + | 1578.80i | −0.110716 | + | 0.0929018i | −0.696465 | − | 0.717591i | \(-0.745245\pi\) |
0.585749 | + | 0.810493i | \(0.300800\pi\) | |||||||
\(662\) | 29348.0 | − | 4946.85i | 1.72303 | − | 0.290430i | ||||
\(663\) | 1058.39 | − | 4859.48i | 0.0619979 | − | 0.284656i | ||||
\(664\) | 13357.3 | − | 4522.03i | 0.780667 | − | 0.264290i | ||||
\(665\) | −3475.13 | + | 2006.37i | −0.202647 | + | 0.116998i | ||||
\(666\) | 22295.0 | + | 10399.4i | 1.29717 | + | 0.605059i | ||||
\(667\) | 4950.46 | + | 2858.15i | 0.287380 | + | 0.165919i | ||||
\(668\) | 7744.22 | − | 2687.05i | 0.448552 | − | 0.155636i | ||||
\(669\) | −22184.1 | − | 886.009i | −1.28204 | − | 0.0512034i | ||||
\(670\) | −3452.75 | + | 2853.09i | −0.199091 | + | 0.164514i | ||||
\(671\) | −1387.15 | − | 7866.93i | −0.0798069 | − | 0.452607i | ||||
\(672\) | 1365.84 | + | 14052.2i | 0.0784057 | + | 0.806658i | ||||
\(673\) | 15220.5 | + | 12771.5i | 0.871777 | + | 0.731508i | 0.964472 | − | 0.264187i | \(-0.0851034\pi\) |
−0.0926942 | + | 0.995695i | \(0.529548\pi\) | |||||||
\(674\) | −11594.6 | + | 19737.1i | −0.662622 | + | 1.12796i | ||||
\(675\) | 13057.4 | + | 3957.51i | 0.744560 | + | 0.225666i | ||||
\(676\) | 7407.61 | + | 13289.5i | 0.421462 | + | 0.756115i | ||||
\(677\) | −2974.65 | + | 3545.05i | −0.168870 | + | 0.201252i | −0.843842 | − | 0.536592i | \(-0.819711\pi\) |
0.674972 | + | 0.737844i | \(0.264156\pi\) | |||||||
\(678\) | 3939.23 | + | 30833.2i | 0.223135 | + | 1.74652i | ||||
\(679\) | −19334.1 | + | 3409.12i | −1.09274 | + | 0.192680i | ||||
\(680\) | −6186.85 | − | 2411.75i | −0.348904 | − | 0.136009i | ||||
\(681\) | 14719.4 | − | 7732.09i | 0.828266 | − | 0.435087i | ||||
\(682\) | 869.349 | − | 1020.32i | 0.0488110 | − | 0.0572873i | ||||
\(683\) | −7698.62 | + | 13334.4i | −0.431302 | + | 0.747037i | −0.996986 | − | 0.0775851i | \(-0.975279\pi\) |
0.565684 | + | 0.824622i | \(0.308612\pi\) | |||||||
\(684\) | 9970.18 | − | 4556.55i | 0.557338 | − | 0.254714i | ||||
\(685\) | 2298.90 | + | 3981.81i | 0.128228 | + | 0.222098i | ||||
\(686\) | 19235.6 | + | 3541.58i | 1.07058 | + | 0.197111i | ||||
\(687\) | 7870.65 | − | 8653.64i | 0.437095 | − | 0.480578i | ||||
\(688\) | −4527.21 | + | 658.106i | −0.250869 | + | 0.0364681i | ||||
\(689\) | −3949.30 | − | 4706.60i | −0.218369 | − | 0.260243i | ||||
\(690\) | 14235.2 | − | 4428.50i | 0.785401 | − | 0.244334i | ||||
\(691\) | 3042.58 | + | 8359.43i | 0.167504 | + | 0.460214i | 0.994836 | − | 0.101500i | \(-0.0323643\pi\) |
−0.827331 | + | 0.561714i | \(0.810142\pi\) | |||||||
\(692\) | −18973.4 | − | 11339.4i | −1.04228 | − | 0.622917i | ||||
\(693\) | −4037.41 | + | 1919.33i | −0.221311 | + | 0.105208i | ||||
\(694\) | −308.341 | − | 543.490i | −0.0168652 | − | 0.0297271i | ||||
\(695\) | −2514.74 | + | 14261.8i | −0.137251 | + | 0.778390i | ||||
\(696\) | 1552.78 | + | 3125.84i | 0.0845658 | + | 0.170236i | ||||
\(697\) | −20827.2 | − | 7580.47i | −1.13183 | − | 0.411953i | ||||
\(698\) | 1714.32 | + | 638.650i | 0.0929629 | + | 0.0346322i | ||||
\(699\) | −7597.29 | + | 5874.58i | −0.411095 | + | 0.317878i | ||||
\(700\) | 11468.5 | + | 2201.12i | 0.619241 | + | 0.118849i | ||||
\(701\) | 6775.34i | 0.365051i | 0.983201 | + | 0.182526i | \(0.0584273\pi\) | ||||
−0.983201 | + | 0.182526i | \(0.941573\pi\) | |||||||
\(702\) | −865.526 | + | 6762.47i | −0.0465345 | + | 0.363580i | ||||
\(703\) | − | 16348.7i | − | 0.877105i | ||||||
\(704\) | 4157.72 | + | 3822.35i | 0.222585 | + | 0.204631i | ||||
\(705\) | −8613.13 | − | 3530.24i | −0.460127 | − | 0.188591i | ||||
\(706\) | −306.693 | + | 823.253i | −0.0163492 | + | 0.0438860i | ||||
\(707\) | 19250.1 | + | 7006.48i | 1.02401 | + | 0.372710i | ||||
\(708\) | −5389.84 | + | 2728.32i | −0.286105 | + | 0.144825i | ||||
\(709\) | 5799.24 | − | 32889.1i | 0.307186 | − | 1.74214i | −0.305845 | − | 0.952081i | \(-0.598939\pi\) |
0.613032 | − | 0.790058i | \(-0.289950\pi\) | |||||||
\(710\) | −9953.07 | + | 5646.72i | −0.526102 | + | 0.298476i | ||||
\(711\) | −8855.28 | + | 19364.6i | −0.467087 | + | 1.02142i | ||||
\(712\) | 17359.9 | − | 9505.56i | 0.913751 | − | 0.500331i | ||||
\(713\) | 2829.61 | + | 7774.29i | 0.148625 | + | 0.408344i | ||||
\(714\) | −8337.29 | + | 9028.91i | −0.436996 | + | 0.473247i | ||||
\(715\) | −641.712 | − | 764.762i | −0.0335646 | − | 0.0400007i | ||||
\(716\) | −31593.1 | − | 12041.8i | −1.64901 | − | 0.628524i | ||||
\(717\) | 10330.9 | + | 32345.7i | 0.538093 | + | 1.68476i | ||||
\(718\) | 3959.69 | − | 21506.5i | 0.205814 | − | 1.11785i | ||||
\(719\) | −1043.74 | − | 1807.81i | −0.0541376 | − | 0.0937691i | 0.837687 | − | 0.546151i | \(-0.183908\pi\) |
−0.891824 | + | 0.452382i | \(0.850574\pi\) | |||||||
\(720\) | 8736.64 | + | 2555.31i | 0.452216 | + | 0.132265i | ||||
\(721\) | −6794.41 | + | 11768.3i | −0.350953 | + | 0.607868i | ||||
\(722\) | 9221.86 | + | 7857.37i | 0.475349 | + | 0.405015i | ||||
\(723\) | 30579.4 | + | 19321.9i | 1.57298 | + | 0.993899i | ||||
\(724\) | −2435.01 | − | 15142.2i | −0.124995 | − | 0.777288i | ||||
\(725\) | 2843.07 | − | 501.309i | 0.145640 | − | 0.0256802i | ||||
\(726\) | 6864.38 | − | 16394.3i | 0.350911 | − | 0.838083i | ||||
\(727\) | 1316.03 | − | 1568.39i | 0.0671375 | − | 0.0800114i | −0.731430 | − | 0.681916i | \(-0.761147\pi\) |
0.798568 | + | 0.601905i | \(0.205591\pi\) | |||||||
\(728\) | −132.056 | + | 5833.72i | −0.00672297 | + | 0.296994i | ||||
\(729\) | 13604.3 | − | 14224.8i | 0.691169 | − | 0.722693i | ||||
\(730\) | −5496.54 | − | 3228.96i | −0.278680 | − | 0.163711i | ||||
\(731\) | −3050.52 | − | 2559.69i | −0.154347 | − | 0.129512i | ||||
\(732\) | 18053.2 | + | 24089.8i | 0.911566 | + | 1.21637i | ||||
\(733\) | −3826.83 | − | 21703.0i | −0.192834 | − | 1.09361i | −0.915470 | − | 0.402386i | \(-0.868181\pi\) |
0.722636 | − | 0.691228i | \(-0.242930\pi\) | |||||||
\(734\) | −9779.77 | − | 11835.3i | −0.491796 | − | 0.595161i | ||||
\(735\) | 1720.94 | − | 2723.61i | 0.0863643 | − | 0.136683i | ||||
\(736\) | −33181.8 | + | 10678.2i | −1.66182 | + | 0.534790i | ||||
\(737\) | 2871.76 | + | 1658.01i | 0.143531 | + | 0.0828679i | ||||
\(738\) | 29346.4 | + | 7866.92i | 1.46376 | + | 0.392392i | ||||
\(739\) | 2718.48 | − | 1569.51i | 0.135319 | − | 0.0781265i | −0.430812 | − | 0.902442i | \(-0.641773\pi\) |
0.566131 | + | 0.824315i | \(0.308440\pi\) | |||||||
\(740\) | 8882.18 | − | 10266.7i | 0.441237 | − | 0.510016i | ||||
\(741\) | 4315.89 | − | 1378.45i | 0.213965 | − | 0.0683381i | ||||
\(742\) | 2523.48 | + | 14971.0i | 0.124852 | + | 0.740702i | ||||
\(743\) | 3908.14 | − | 3279.32i | 0.192969 | − | 0.161920i | −0.541184 | − | 0.840904i | \(-0.682024\pi\) |
0.734153 | + | 0.678984i | \(0.237579\pi\) | |||||||
\(744\) | −1186.43 | + | 4910.18i | −0.0584635 | + | 0.241957i | ||||
\(745\) | −2906.38 | + | 1057.84i | −0.142928 | + | 0.0520216i | ||||
\(746\) | −37064.1 | − | 279.627i | −1.81905 | − | 0.0137237i | ||||
\(747\) | −15302.9 | − | 6997.90i | −0.749538 | − | 0.342758i | ||||
\(748\) | −74.1745 | + | 4915.57i | −0.00362579 | + | 0.240282i | ||||
\(749\) | −11219.1 | − | 1978.24i | −0.547315 | − | 0.0965064i | ||||
\(750\) | 9300.59 | − | 14476.4i | 0.452813 | − | 0.704804i | ||||
\(751\) | 2898.81 | − | 7964.42i | 0.140851 | − | 0.386985i | −0.849130 | − | 0.528183i | \(-0.822873\pi\) |
0.989981 | + | 0.141199i | \(0.0450956\pi\) | |||||||
\(752\) | 20218.3 | + | 8057.70i | 0.980432 | + | 0.390737i | ||||
\(753\) | −2312.08 | + | 5641.05i | −0.111895 | + | 0.273003i | ||||
\(754\) | 483.140 | + | 1359.24i | 0.0233354 | + | 0.0656504i | ||||
\(755\) | −4999.21 | −0.240980 | ||||||||
\(756\) | 10308.2 | − | 13324.8i | 0.495907 | − | 0.641031i | ||||
\(757\) | 27578.5 | 1.32412 | 0.662060 | − | 0.749451i | \(-0.269683\pi\) | ||||
0.662060 | + | 0.749451i | \(0.269683\pi\) | |||||||
\(758\) | 2575.39 | + | 7245.44i | 0.123407 | + | 0.347185i | ||||
\(759\) | −6751.52 | − | 8731.39i | −0.322878 | − | 0.417562i | ||||
\(760\) | −915.344 | − | 5979.54i | −0.0436882 | − | 0.285396i | ||||
\(761\) | 3692.40 | − | 10144.8i | 0.175886 | − | 0.483244i | −0.820154 | − | 0.572142i | \(-0.806112\pi\) |
0.996041 | + | 0.0888985i | \(0.0283347\pi\) | |||||||
\(762\) | −34639.0 | − | 1645.27i | −1.64677 | − | 0.0782177i | ||||
\(763\) | −15398.5 | − | 2715.16i | −0.730618 | − | 0.128828i | ||||
\(764\) | 23441.2 | + | 353.721i | 1.11004 | + | 0.0167502i | ||||
\(765\) | 3401.89 | + | 7156.05i | 0.160778 | + | 0.338206i | ||||
\(766\) | −11734.1 | − | 88.5271i | −0.553487 | − | 0.00417574i | ||||
\(767\) | −2346.22 | + | 853.953i | −0.110452 | + | 0.0402014i | ||||
\(768\) | −20484.8 | − | 5775.46i | −0.962478 | − | 0.271359i | ||||
\(769\) | −16053.0 | + | 13470.1i | −0.752779 | + | 0.631657i | −0.936236 | − | 0.351371i | \(-0.885716\pi\) |
0.183457 | + | 0.983028i | \(0.441271\pi\) | |||||||
\(770\) | 410.033 | + | 2432.59i | 0.0191904 | + | 0.113850i | ||||
\(771\) | 16638.2 | + | 15132.8i | 0.777187 | + | 0.706867i | ||||
\(772\) | −14287.8 | − | 12361.0i | −0.666101 | − | 0.576273i | ||||
\(773\) | −19790.1 | + | 11425.8i | −0.920829 | + | 0.531641i | −0.883900 | − | 0.467677i | \(-0.845091\pi\) |
−0.0369299 | + | 0.999318i | \(0.511758\pi\) | |||||||
\(774\) | 4471.26 | + | 3131.57i | 0.207644 | + | 0.145429i | ||||
\(775\) | 3618.48 | + | 2089.13i | 0.167716 | + | 0.0968306i | ||||
\(776\) | 5797.53 | − | 29022.3i | 0.268195 | − | 1.34258i | ||||
\(777\) | −11684.2 | − | 22242.9i | −0.539469 | − | 1.02698i | ||||
\(778\) | 4763.44 | + | 5764.61i | 0.219508 | + | 0.265644i | ||||
\(779\) | −3506.10 | − | 19884.1i | −0.161257 | − | 0.914533i | ||||
\(780\) | 3459.20 | + | 1479.16i | 0.158794 | + | 0.0679006i | ||||
\(781\) | 6489.93 | + | 5445.70i | 0.297347 | + | 0.249504i | ||||
\(782\) | −26161.9 | − | 15368.9i | −1.19635 | − | 0.702801i | ||||
\(783\) | 1208.01 | − | 3985.69i | 0.0551351 | − | 0.181912i | ||||
\(784\) | −3961.60 | + | 6407.11i | −0.180466 | + | 0.291869i | ||||
\(785\) | 4781.29 | − | 5698.11i | 0.217390 | − | 0.259076i | ||||
\(786\) | −1217.81 | − | 1599.72i | −0.0552644 | − | 0.0725958i | ||||
\(787\) | −9588.54 | + | 1690.72i | −0.434301 | + | 0.0765789i | −0.386525 | − | 0.922279i | \(-0.626325\pi\) |
−0.0477762 | + | 0.998858i | \(0.515213\pi\) | |||||||
\(788\) | −3391.83 | + | 545.438i | −0.153336 | + | 0.0246579i | ||||
\(789\) | 522.821 | − | 13090.5i | 0.0235905 | − | 0.590665i | ||||
\(790\) | 8944.01 | + | 7620.63i | 0.402802 | + | 0.343202i | ||||
\(791\) | 15872.9 | − | 27492.7i | 0.713496 | − | 1.23581i | ||||
\(792\) | −485.232 | − | 6721.63i | −0.0217702 | − | 0.301569i | ||||
\(793\) | 6221.03 | + | 10775.1i | 0.278582 | + | 0.482518i | ||||
\(794\) | 1217.13 | − | 6610.67i | 0.0544010 | − | 0.295471i | ||||
\(795\) | 9564.28 | + | 2083.10i | 0.426679 | + | 0.0929307i | ||||
\(796\) | 2272.50 | − | 5962.17i | 0.101189 | − | 0.265482i | ||||
\(797\) | −4347.02 | − | 5180.58i | −0.193199 | − | 0.230245i | 0.660745 | − | 0.750610i | \(-0.270240\pi\) |
−0.853944 | + | 0.520365i | \(0.825796\pi\) | |||||||
\(798\) | −10920.8 | − | 2464.98i | −0.484449 | − | 0.109348i | ||||
\(799\) | 6479.70 | + | 17802.8i | 0.286903 | + | 0.788258i | ||||
\(800\) | −9370.84 | + | 14903.0i | −0.414136 | + | 0.658624i | ||||
\(801\) | −22856.7 | − | 5942.76i | −1.00824 | − | 0.262144i | ||||
\(802\) | −28067.8 | + | 15923.8i | −1.23580 | + | 0.701110i | ||||
\(803\) | −819.544 | + | 4647.87i | −0.0360163 | + | 0.204259i | ||||
\(804\) | −12477.5 | − | 687.034i | −0.547322 | − | 0.0301366i | ||||
\(805\) | −14307.4 | − | 5207.48i | −0.626423 | − | 0.227999i | ||||
\(806\) | −728.852 | + | 1956.45i | −0.0318520 | + | 0.0855001i | ||||
\(807\) | 4652.69 | + | 34353.9i | 0.202952 | + | 1.49853i | ||||
\(808\) | −20380.8 | + | 23201.7i | −0.887370 | + | 1.01019i | ||||
\(809\) | 11249.6i | 0.488894i | 0.969663 | + | 0.244447i | \(0.0786064\pi\) | ||||
−0.969663 | + | 0.244447i | \(0.921394\pi\) | |||||||
\(810\) | −5499.53 | − | 9366.50i | −0.238560 | − | 0.406303i | ||||
\(811\) | 44338.1i | 1.91976i | 0.280417 | + | 0.959878i | \(0.409527\pi\) | ||||
−0.280417 | + | 0.959878i | \(0.590473\pi\) | |||||||
\(812\) | 671.880 | − | 3500.70i | 0.0290374 | − | 0.151294i | ||||
\(813\) | −2361.79 | − | 17438.6i | −0.101884 | − | 0.752274i | ||||
\(814\) | −9418.36 | − | 3508.69i | −0.405545 | − | 0.151081i | ||||
\(815\) | 8214.34 | + | 2989.78i | 0.353050 | + | 0.128500i | ||||
\(816\) | −8116.74 | − | 16653.7i | −0.348214 | − | 0.714455i | ||||
\(817\) | 629.941 | − | 3572.57i | 0.0269753 | − | 0.152985i | ||||
\(818\) | −10096.7 | − | 17796.8i | −0.431570 | − | 0.760697i | ||||
\(819\) | 4886.74 | − | 4959.91i | 0.208494 | − | 0.211616i | ||||
\(820\) | 8601.14 | − | 14391.7i | 0.366299 | − | 0.612902i | ||||
\(821\) | 8414.09 | + | 23117.5i | 0.357678 | + | 0.982713i | 0.979833 | + | 0.199818i | \(0.0640352\pi\) |
−0.622155 | + | 0.782894i | \(0.713743\pi\) | |||||||
\(822\) | −2824.37 | + | 12513.0i | −0.119843 | + | 0.530950i | ||||
\(823\) | −17053.7 | − | 20323.9i | −0.722304 | − | 0.860808i | 0.272549 | − | 0.962142i | \(-0.412133\pi\) |
−0.994852 | + | 0.101334i | \(0.967689\pi\) | |||||||
\(824\) | −12809.1 | − | 15986.5i | −0.541535 | − | 0.675868i | ||||
\(825\) | −5446.48 | − | 1186.24i | −0.229845 | − | 0.0500602i | ||||
\(826\) | 6067.69 | + | 1117.16i | 0.255596 | + | 0.0470593i | ||||
\(827\) | 20634.4 | + | 35739.9i | 0.867629 | + | 1.50278i | 0.864412 | + | 0.502783i | \(0.167691\pi\) |
0.00321686 | + | 0.999995i | \(0.498976\pi\) | |||||||
\(828\) | 37560.9 | + | 17866.4i | 1.57649 | + | 0.749879i | ||||
\(829\) | 23129.2 | − | 40061.0i | 0.969013 | − | 1.67838i | 0.270590 | − | 0.962695i | \(-0.412781\pi\) |
0.698423 | − | 0.715685i | \(-0.253885\pi\) | |||||||
\(830\) | −6022.22 | + | 7068.02i | −0.251849 | + | 0.295584i | ||||
\(831\) | 1304.55 | − | 32663.6i | 0.0544577 | − | 1.36352i | ||||
\(832\) | −8121.46 | − | 3379.56i | −0.338415 | − | 0.140824i | ||||
\(833\) | −6457.52 | + | 1138.63i | −0.268595 | + | 0.0473606i | ||||
\(834\) | −32148.6 | + | 24473.5i | −1.33479 | + | 1.01613i | ||||
\(835\) | −3469.48 | + | 4134.77i | −0.143792 | + | 0.171365i | ||||
\(836\) | −3911.84 | + | 2180.48i | −0.161835 | + | 0.0902074i | ||||
\(837\) | 5047.25 | − | 3295.11i | 0.208433 | − | 0.136076i | ||||
\(838\) | 2029.89 | − | 3455.41i | 0.0836771 | − | 0.142440i | ||||
\(839\) | −15846.6 | − | 13296.9i | −0.652068 | − | 0.547150i | 0.255630 | − | 0.966775i | \(-0.417717\pi\) |
−0.907698 | + | 0.419625i | \(0.862162\pi\) | |||||||
\(840\) | −5518.83 | − | 7481.15i | −0.226688 | − | 0.307291i | ||||
\(841\) | 4082.08 | + | 23150.6i | 0.167374 | + | 0.949225i | ||||
\(842\) | 8264.37 | − | 6829.05i | 0.338253 | − | 0.279507i | ||||
\(843\) | 9470.47 | + | 18028.7i | 0.386928 | + | 0.736587i | ||||
\(844\) | 11999.1 | + | 34582.0i | 0.489367 | + | 1.41038i | ||||
\(845\) | −8676.10 | − | 5009.15i | −0.353215 | − | 0.203929i | ||||
\(846\) | −10973.0 | − | 23538.7i | −0.445934 | − | 0.956591i | ||||
\(847\) | −15719.9 | + | 9075.92i | −0.637714 | + | 0.368184i | ||||
\(848\) | −22409.2 | − | 4652.55i | −0.907469 | − | 0.188407i | ||||
\(849\) | −22513.7 | − | 20476.6i | −0.910092 | − | 0.827746i | ||||
\(850\) | −15110.7 | + | 2547.03i | −0.609755 | + | 0.102779i | ||||
\(851\) | 47519.7 | − | 39873.7i | 1.91416 | − | 1.60617i | ||||
\(852\) | −31089.3 | − | 7264.24i | −1.25012 | − | 0.292099i | ||||
\(853\) | 444.031 | − | 161.614i | 0.0178234 | − | 0.00648718i | −0.333093 | − | 0.942894i | \(-0.608092\pi\) |
0.350916 | + | 0.936407i | \(0.385870\pi\) | |||||||
\(854\) | 231.946 | − | 30744.0i | 0.00929393 | − | 1.23189i | ||||
\(855\) | −4096.11 | + | 5943.37i | −0.163841 | + | 0.237730i | ||||
\(856\) | 8921.26 | − | 14674.8i | 0.356218 | − | 0.585950i | ||||
\(857\) | 43196.9 | + | 7616.78i | 1.72179 | + | 0.303599i | 0.945222 | − | 0.326429i | \(-0.105845\pi\) |
0.776573 | + | 0.630028i | \(0.216956\pi\) | |||||||
\(858\) | 132.147 | − | 2782.18i | 0.00525808 | − | 0.110702i | ||||
\(859\) | 12800.9 | − | 35170.3i | 0.508455 | − | 1.39697i | −0.374376 | − | 0.927277i | \(-0.622143\pi\) |
0.882831 | − | 0.469691i | \(-0.155635\pi\) | |||||||
\(860\) | 2336.55 | − | 1901.27i | 0.0926461 | − | 0.0753868i | ||||
\(861\) | −18981.0 | − | 24547.1i | −0.751300 | − | 0.971617i | ||||
\(862\) | −25619.3 | + | 9106.39i | −1.01230 | + | 0.359820i | ||||
\(863\) | 40119.5 | 1.58249 | 0.791243 | − | 0.611502i | \(-0.209435\pi\) | ||||
0.791243 | + | 0.611502i | \(0.209435\pi\) | |||||||
\(864\) | 13071.5 | + | 21774.1i | 0.514699 | + | 0.857371i | ||||
\(865\) | 14554.5 | 0.572103 | ||||||||
\(866\) | 18262.1 | − | 6491.27i | 0.716596 | − | 0.254714i | ||||
\(867\) | −3565.78 | + | 8699.83i | −0.139677 | + | 0.340786i | ||||
\(868\) | 4001.65 | − | 3256.17i | 0.156480 | − | 0.127329i | ||||
\(869\) | 2975.33 | − | 8174.65i | 0.116146 | − | 0.319109i | ||||
\(870\) | −1933.56 | − | 1242.25i | −0.0753494 | − | 0.0484094i | ||||
\(871\) | −5086.37 | − | 896.863i | −0.197870 | − | 0.0348898i | ||||
\(872\) | 12244.6 | − | 20141.3i | 0.475520 | − | 0.782192i | ||||
\(873\) | −28776.9 | + | 20470.2i | −1.11564 | + | 0.793597i | ||||
\(874\) | 208.531 | − | 27640.4i | 0.00807054 | − | 1.06974i | ||||
\(875\) | −16513.2 | + | 6010.33i | −0.637999 | + | 0.232213i | ||||
\(876\) | −5154.99 | − | 17022.2i | −0.198825 | − | 0.656537i | ||||
\(877\) | −6821.82 | + | 5724.19i | −0.262664 | + | 0.220401i | −0.764603 | − | 0.644502i | \(-0.777065\pi\) |
0.501939 | + | 0.864903i | \(0.332620\pi\) | |||||||
\(878\) | −16478.4 | + | 2777.57i | −0.633393 | + | 0.106764i | ||||
\(879\) | −7043.07 | + | 2249.47i | −0.270258 | + | 0.0863173i | ||||
\(880\) | −3641.21 | − | 755.981i | −0.139483 | − | 0.0289592i | ||||
\(881\) | 5997.67 | − | 3462.75i | 0.229360 | − | 0.132421i | −0.380917 | − | 0.924609i | \(-0.624391\pi\) |
0.610277 | + | 0.792188i | \(0.291058\pi\) | |||||||
\(882\) | 8682.62 | − | 2325.45i | 0.331473 | − | 0.0887777i | ||||
\(883\) | 11916.6 | + | 6880.06i | 0.454163 | + | 0.262211i | 0.709587 | − | 0.704618i | \(-0.248882\pi\) |
−0.255424 | + | 0.966829i | \(0.582215\pi\) | |||||||
\(884\) | −2510.01 | − | 7233.98i | −0.0954985 | − | 0.275232i | ||||
\(885\) | 2124.80 | − | 3362.78i | 0.0807057 | − | 0.127727i | ||||
\(886\) | −12421.8 | + | 10264.4i | −0.471013 | + | 0.389210i | ||||
\(887\) | 2127.73 | + | 12066.9i | 0.0805434 | + | 0.456784i | 0.998230 | + | 0.0594784i | \(0.0189437\pi\) |
−0.917686 | + | 0.397306i | \(0.869945\pi\) | |||||||
\(888\) | 37638.7 | − | 4232.57i | 1.42238 | − | 0.159950i | ||||
\(889\) | 27130.6 | + | 22765.3i | 1.02355 | + | 0.858857i | ||||
\(890\) | −6601.16 | + | 11236.9i | −0.248619 | + | 0.423215i | ||||
\(891\) | −5076.80 | + | 6236.21i | −0.190886 | + | 0.234479i | ||||
\(892\) | −29856.9 | + | 16642.3i | −1.12072 | + | 0.624694i | ||||
\(893\) | −11093.8 | + | 13221.1i | −0.415722 | + | 0.495438i | ||||
\(894\) | −7959.60 | − | 3332.74i | −0.297773 | − | 0.124679i | ||||
\(895\) | 21924.7 | − | 3865.91i | 0.818840 | − | 0.144384i | ||||
\(896\) | 13073.6 | + | 17365.6i | 0.487455 | + | 0.647481i | ||||
\(897\) | 14532.9 | + | 9182.72i | 0.540957 | + | 0.341809i | ||||
\(898\) | −34370.5 | + | 40339.2i | −1.27724 | + | 1.49904i | ||||
\(899\) | 637.696 | − | 1104.52i | 0.0236578 | − | 0.0409765i | ||||
\(900\) | 20331.5 | − | 5281.27i | 0.753017 | − | 0.195603i | ||||
\(901\) | −9961.13 | − | 17253.2i | −0.368317 | − | 0.637943i | ||||
\(902\) | −12207.5 | − | 2247.60i | −0.450627 | − | 0.0829677i | ||||
\(903\) | −1696.20 | − | 5310.79i | −0.0625096 | − | 0.195716i | ||||
\(904\) | 29924.2 | + | 37347.2i | 1.10096 | + | 1.37406i | ||||
\(905\) | 6491.37 | + | 7736.11i | 0.238431 | + | 0.284151i | ||||
\(906\) | −10247.2 | − | 9462.26i | −0.375762 | − | 0.346978i | ||||
\(907\) | 15285.1 | + | 41995.5i | 0.559574 | + | 1.53742i | 0.820259 | + | 0.571993i | \(0.193829\pi\) |
−0.260685 | + | 0.965424i | \(0.583948\pi\) | |||||||
\(908\) | 13132.3 | − | 21973.3i | 0.479966 | − | 0.803093i | ||||
\(909\) | 36684.6 | − | 3484.36i | 1.33856 | − | 0.127138i | ||||
\(910\) | −1895.99 | − | 3341.93i | −0.0690676 | − | 0.121740i | ||||
\(911\) | 490.806 | − | 2783.50i | 0.0178498 | − | 0.101231i | −0.974581 | − | 0.224034i | \(-0.928077\pi\) |
0.992431 | + | 0.122803i | \(0.0391884\pi\) | |||||||
\(912\) | 9441.54 | − | 13989.2i | 0.342808 | − | 0.507925i | ||||
\(913\) | 6460.04 | + | 2351.26i | 0.234169 | + | 0.0852305i | ||||
\(914\) | 3683.37 | + | 1372.19i | 0.133299 | + | 0.0496588i | ||||
\(915\) | −18341.5 | − | 7517.60i | −0.662681 | − | 0.271611i | ||||
\(916\) | 3394.57 | − | 17686.7i | 0.122445 | − | 0.637977i | ||||
\(917\) | 2053.33i | 0.0739444i | ||||||||
\(918\) | −6571.55 | + | 21107.1i | −0.236268 | + | 0.758866i | ||||
\(919\) | − | 14213.6i | − | 0.510189i | −0.966916 | − | 0.255095i | \(-0.917893\pi\) | ||
0.966916 | − | 0.255095i | \(-0.0821066\pi\) | |||||||
\(920\) | 15147.8 | − | 17244.4i | 0.542835 | − | 0.617967i | ||||
\(921\) | 36348.9 | − | 28106.7i | 1.30048 | − | 1.00559i | ||||
\(922\) | −945.840 | + | 2538.91i | −0.0337848 | + | 0.0906883i | ||||
\(923\) | −12399.7 | − | 4513.12i | −0.442189 | − | 0.160944i | ||||
\(924\) | −3763.81 | + | 5762.32i | −0.134005 | + | 0.205159i | ||||
\(925\) | 5440.14 | − | 30852.6i | 0.193374 | − | 1.09668i | ||||
\(926\) | 8796.37 | − | 4990.48i | 0.312167 | − | 0.177103i | ||||
\(927\) | −1949.40 | + | 24365.9i | −0.0690688 | + | 0.863301i | ||||
\(928\) | 4549.05 | + | 2860.40i | 0.160916 | + | 0.101182i | ||||
\(929\) | 9400.39 | + | 25827.3i | 0.331988 | + | 0.912129i | 0.987594 | + | 0.157026i | \(0.0501908\pi\) |
−0.655607 | + | 0.755103i | \(0.727587\pi\) | |||||||
\(930\) | −988.066 | − | 3176.10i | −0.0348387 | − | 0.111987i | ||||
\(931\) | −3839.64 | − | 4575.91i | −0.135166 | − | 0.161084i | ||||
\(932\) | −5266.08 | + | 13816.2i | −0.185082 | + | 0.485583i | ||||
\(933\) | −26659.4 | + | 29311.5i | −0.935465 | + | 1.02853i | ||||
\(934\) | −346.309 | + | 1880.92i | −0.0121323 | + | 0.0658948i | ||||
\(935\) | −1618.56 | − | 2803.42i | −0.0566123 | − | 0.0980553i | ||||
\(936\) | 4290.87 | + | 9579.34i | 0.149841 | + | 0.334520i | ||||
\(937\) | 9027.22 | − | 15635.6i | 0.314735 | − | 0.545137i | −0.664646 | − | 0.747158i | \(-0.731418\pi\) |
0.979381 | + | 0.202022i | \(0.0647511\pi\) | |||||||
\(938\) | 9714.48 | + | 8277.11i | 0.338155 | + | 0.288121i | ||||
\(939\) | −29178.5 | + | 15327.4i | −1.01406 | + | 0.532686i | ||||
\(940\) | −14149.6 | + | 2275.39i | −0.490968 | + | 0.0789523i | ||||
\(941\) | −19202.3 | + | 3385.88i | −0.665225 | + | 0.117297i | −0.496057 | − | 0.868290i | \(-0.665219\pi\) |
−0.169168 | + | 0.985587i | \(0.554108\pi\) | |||||||
\(942\) | 20585.6 | − | 2630.00i | 0.712012 | − | 0.0909662i | ||||
\(943\) | 49244.4 | − | 58687.1i | 1.70055 | − | 2.02663i | ||||
\(944\) | −4891.30 | + | 7910.73i | −0.168642 | + | 0.272746i | ||||
\(945\) | −1325.25 | + | 11013.5i | −0.0456194 | + | 0.379122i | ||||
\(946\) | −1922.93 | − | 1129.63i | −0.0660886 | − | 0.0388240i | ||||
\(947\) | 36043.5 | + | 30244.1i | 1.23681 | + | 1.03780i | 0.997767 | + | 0.0667947i | \(0.0212772\pi\) |
0.239040 | + | 0.971010i | \(0.423167\pi\) | |||||||
\(948\) | 3909.14 | + | 32549.3i | 0.133927 | + | 1.11514i | ||||
\(949\) | −1276.47 | − | 7239.23i | −0.0436628 | − | 0.247624i | ||||
\(950\) | −8892.20 | − | 10761.2i | −0.303685 | − | 0.367514i | ||||
\(951\) | −43056.3 | − | 1719.63i | −1.46814 | − | 0.0586358i | ||||
\(952\) | −3706.43 | + | 18554.3i | −0.126183 | + | 0.631669i | ||||
\(953\) | 33994.7 | + | 19626.8i | 1.15550 | + | 0.667131i | 0.950222 | − | 0.311572i | \(-0.100856\pi\) |
0.205282 | + | 0.978703i | \(0.434189\pi\) | |||||||
\(954\) | 15661.7 | + | 22372.7i | 0.531517 | + | 0.759268i | ||||
\(955\) | −13368.9 | + | 7718.53i | −0.452992 | + | 0.261535i | ||||
\(956\) | 39535.6 | + | 34204.0i | 1.33752 | + | 1.15715i | ||||
\(957\) | −362.094 | + | 1662.51i | −0.0122308 | + | 0.0561561i | ||||
\(958\) | 5184.35 | + | 30757.0i | 0.174842 | + | 1.03728i | ||||
\(959\) | 10035.9 | − | 8421.14i | 0.337932 | − | 0.283559i | ||||
\(960\) | 13529.3 | − | 3655.40i | 0.454852 | − | 0.122893i | ||||
\(961\) | −26259.8 | + | 9557.79i | −0.881468 | + | 0.320828i | ||||
\(962\) | 15653.9 | + | 118.100i | 0.524638 | + | 0.00395809i | ||||
\(963\) | −19754.2 | + | 5450.78i | −0.661029 | + | 0.182398i | ||||
\(964\) | 55684.6 | + | 840.264i | 1.86046 | + | 0.0280737i | ||||
\(965\) | 12251.3 | + | 2160.23i | 0.408687 | + | 0.0720625i | ||||
\(966\) | −19470.4 | − | 37754.5i | −0.648498 | − | 1.25749i | ||||
\(967\) | −6916.63 | + | 19003.3i | −0.230014 | + | 0.631959i | −0.999981 | − | 0.00612485i | \(-0.998050\pi\) |
0.769967 | + | 0.638084i | \(0.220273\pi\) | |||||||
\(968\) | −4140.61 | − | 27048.8i | −0.137484 | − | 0.898120i | ||||
\(969\) | 14558.0 | − | 1971.65i | 0.482632 | − | 0.0653649i | ||||
\(970\) | 6526.88 | + | 18362.3i | 0.216047 | + | 0.607813i | ||||
\(971\) | −25729.0 | −0.850342 | −0.425171 | − | 0.905113i | \(-0.639786\pi\) | ||||
−0.425171 | + | 0.905113i | \(0.639786\pi\) | |||||||
\(972\) | 6455.72 | − | 29608.3i | 0.213032 | − | 0.977045i | ||||
\(973\) | 41264.5 | 1.35959 | ||||||||
\(974\) | −3642.16 | − | 10246.6i | −0.119818 | − | 0.337087i | ||||
\(975\) | 8603.43 | − | 1165.20i | 0.282595 | − | 0.0382731i | ||||
\(976\) | 43054.6 | + | 17158.8i | 1.41203 | + | 0.562744i | ||||
\(977\) | −15010.3 | + | 41240.6i | −0.491529 | + | 1.35046i | 0.407753 | + | 0.913092i | \(0.366313\pi\) |
−0.899281 | + | 0.437371i | \(0.855910\pi\) | |||||||
\(978\) | 11178.6 | + | 21676.0i | 0.365491 | + | 0.708715i | ||||
\(979\) | 9501.90 | + | 1675.44i | 0.310196 | + | 0.0546960i | ||||
\(980\) | 74.8395 | − | 4959.64i | 0.00243945 | − | 0.161663i | ||||
\(981\) | −27113.0 | + | 7481.28i | −0.882417 | + | 0.243485i | ||||
\(982\) | 19904.1 | + | 150.165i | 0.646807 | + | 0.00487978i | ||||
\(983\) | −55840.8 | + | 20324.4i | −1.81185 | + | 0.659458i | −0.815058 | + | 0.579379i | \(0.803295\pi\) |
−0.996788 | + | 0.0800793i | \(0.974483\pi\) | |||||||
\(984\) | 44870.2 | − | 13219.7i | 1.45367 | − | 0.428282i | ||||
\(985\) | 1732.87 | − | 1454.05i | 0.0560547 | − | 0.0470355i | ||||
\(986\) | 777.467 | + | 4612.45i | 0.0251112 | + | 0.148976i | ||||
\(987\) | −5644.53 | + | 25916.1i | −0.182034 | + | 0.835785i | ||||
\(988\) | 4563.84 | − | 5275.24i | 0.146958 | − | 0.169866i | ||||
\(989\) | 11920.5 | − | 6882.31i | 0.383266 | − | 0.221279i | ||||
\(990\) | 2544.83 | + | 3635.27i | 0.0816970 | + | 0.116704i | ||||
\(991\) | −1136.64 | − | 656.237i | −0.0364344 | − | 0.0210354i | 0.481672 | − | 0.876351i | \(-0.340030\pi\) |
−0.518107 | + | 0.855316i | \(0.673363\pi\) | |||||||
\(992\) | 2382.48 | + | 7403.35i | 0.0762538 | + | 0.236952i | ||||
\(993\) | −54632.8 | − | 2181.98i | −1.74594 | − | 0.0697310i | ||||
\(994\) | 20770.1 | + | 25135.5i | 0.662763 | + | 0.802061i | ||||
\(995\) | 729.566 | + | 4137.57i | 0.0232450 | + | 0.131829i | ||||
\(996\) | −25722.1 | + | 3089.20i | −0.818310 | + | 0.0982783i | ||||
\(997\) | 29688.4 | + | 24911.6i | 0.943072 | + | 0.791331i | 0.978117 | − | 0.208055i | \(-0.0667131\pi\) |
−0.0350454 | + | 0.999386i | \(0.511158\pi\) | |||||||
\(998\) | −40992.9 | − | 24081.4i | −1.30021 | − | 0.763812i | ||||
\(999\) | −36160.2 | − | 27111.7i | −1.14520 | − | 0.858635i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 108.4.l.a.11.6 | ✓ | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.11.24 | yes | 312 | |
27.5 | odd | 18 | inner | 108.4.l.a.59.24 | yes | 312 | |
108.59 | even | 18 | inner | 108.4.l.a.59.6 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.6 | ✓ | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.11.24 | yes | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.59.6 | yes | 312 | 108.59 | even | 18 | inner | |
108.4.l.a.59.24 | yes | 312 | 27.5 | odd | 18 | inner |