Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,4,Mod(2,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.43727313082\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.6 | ||
Character | \(\chi\) | \(=\) | 143.2 |
Dual form | 143.4.w.a.72.6 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.73512 | − | 2.42562i | −1.32057 | − | 0.857585i | −0.324472 | − | 0.945895i | \(-0.605187\pi\) |
−0.996093 | + | 0.0883101i | \(0.971853\pi\) | |||||||
\(3\) | 2.56251 | + | 1.14090i | 0.493154 | + | 0.219566i | 0.638218 | − | 0.769856i | \(-0.279672\pi\) |
−0.145063 | + | 0.989422i | \(0.546339\pi\) | |||||||
\(4\) | 4.81363 | + | 10.8116i | 0.601704 | + | 1.35145i | ||||
\(5\) | −2.56515 | − | 1.30701i | −0.229434 | − | 0.116902i | 0.335495 | − | 0.942042i | \(-0.391096\pi\) |
−0.564929 | + | 0.825140i | \(0.691096\pi\) | |||||||
\(6\) | −6.80388 | − | 10.4771i | −0.462946 | − | 0.712874i | ||||
\(7\) | −4.48558 | + | 11.6853i | −0.242198 | + | 0.630948i | −0.999762 | − | 0.0218128i | \(-0.993056\pi\) |
0.757564 | + | 0.652761i | \(0.226390\pi\) | |||||||
\(8\) | 2.67168 | − | 16.8683i | 0.118073 | − | 0.745481i | ||||
\(9\) | −12.8017 | − | 14.2178i | −0.474139 | − | 0.526585i | ||||
\(10\) | 6.41083 | + | 11.1039i | 0.202728 | + | 0.351136i | ||||
\(11\) | 36.3059 | + | 3.58954i | 0.995148 | + | 0.0983897i | ||||
\(12\) | 33.1966i | 0.798587i | ||||||||
\(13\) | −15.2749 | − | 44.3134i | −0.325883 | − | 0.945410i | ||||
\(14\) | 45.0983 | − | 32.7658i | 0.860931 | − | 0.625503i | ||||
\(15\) | −5.08203 | − | 6.27579i | −0.0874783 | − | 0.108027i | ||||
\(16\) | 12.4569 | − | 13.8348i | 0.194639 | − | 0.216168i | ||||
\(17\) | 57.5434 | + | 12.2312i | 0.820961 | + | 0.174501i | 0.599199 | − | 0.800600i | \(-0.295486\pi\) |
0.221762 | + | 0.975101i | \(0.428819\pi\) | |||||||
\(18\) | 13.3292 | + | 84.1573i | 0.174540 | + | 1.10200i | ||||
\(19\) | 18.1157 | − | 22.3710i | 0.218738 | − | 0.270119i | −0.655951 | − | 0.754804i | \(-0.727732\pi\) |
0.874689 | + | 0.484684i | \(0.161066\pi\) | |||||||
\(20\) | 1.78316 | − | 34.0247i | 0.0199364 | − | 0.380408i | ||||
\(21\) | −24.8261 | + | 24.8261i | −0.257976 | + | 0.257976i | ||||
\(22\) | −126.900 | − | 101.471i | −1.22978 | − | 0.983354i | ||||
\(23\) | 149.054 | − | 86.0563i | 1.35130 | − | 0.780173i | 0.362867 | − | 0.931841i | \(-0.381798\pi\) |
0.988431 | + | 0.151668i | \(0.0484645\pi\) | |||||||
\(24\) | 26.0913 | − | 40.1770i | 0.221911 | − | 0.341712i | ||||
\(25\) | −68.6015 | − | 94.4218i | −0.548812 | − | 0.755374i | ||||
\(26\) | −50.4339 | + | 202.567i | −0.380419 | + | 1.52795i | ||||
\(27\) | −39.9870 | − | 123.067i | −0.285018 | − | 0.877196i | ||||
\(28\) | −147.929 | + | 7.75263i | −0.998426 | + | 0.0523253i | ||||
\(29\) | −272.919 | − | 28.6850i | −1.74758 | − | 0.183678i | −0.823873 | − | 0.566774i | \(-0.808191\pi\) |
−0.923709 | + | 0.383096i | \(0.874858\pi\) | |||||||
\(30\) | 3.75936 | + | 35.7679i | 0.0228787 | + | 0.217677i | ||||
\(31\) | −103.856 | − | 203.828i | −0.601710 | − | 1.18092i | −0.968124 | − | 0.250471i | \(-0.919415\pi\) |
0.366414 | − | 0.930452i | \(-0.380585\pi\) | |||||||
\(32\) | −212.059 | + | 56.8210i | −1.17147 | + | 0.313895i | ||||
\(33\) | 88.9386 | + | 50.6196i | 0.469158 | + | 0.267022i | ||||
\(34\) | −185.264 | − | 185.264i | −0.934483 | − | 0.934483i | ||||
\(35\) | 26.7790 | − | 24.1119i | 0.129328 | − | 0.116447i | ||||
\(36\) | 92.0940 | − | 206.846i | 0.426361 | − | 0.957622i | ||||
\(37\) | 28.0337 | − | 22.7013i | 0.124560 | − | 0.100867i | −0.565016 | − | 0.825080i | \(-0.691130\pi\) |
0.689576 | + | 0.724213i | \(0.257797\pi\) | |||||||
\(38\) | −121.928 | + | 39.6168i | −0.520508 | + | 0.169123i | ||||
\(39\) | 11.4153 | − | 130.980i | 0.0468695 | − | 0.537786i | ||||
\(40\) | −28.9002 | + | 39.7778i | −0.114238 | + | 0.157235i | ||||
\(41\) | 101.230 | + | 263.713i | 0.385597 | + | 1.00451i | 0.979761 | + | 0.200171i | \(0.0641497\pi\) |
−0.594164 | + | 0.804344i | \(0.702517\pi\) | |||||||
\(42\) | 152.947 | − | 32.5099i | 0.561911 | − | 0.119438i | ||||
\(43\) | 166.333 | − | 288.098i | 0.589898 | − | 1.02173i | −0.404347 | − | 0.914605i | \(-0.632501\pi\) |
0.994245 | − | 0.107128i | \(-0.0341653\pi\) | |||||||
\(44\) | 135.954 | + | 409.803i | 0.465816 | + | 1.40409i | ||||
\(45\) | 14.2556 | + | 53.2026i | 0.0472244 | + | 0.176244i | ||||
\(46\) | −765.474 | − | 40.1168i | −2.45354 | − | 0.128585i | ||||
\(47\) | 73.9985 | + | 11.7202i | 0.229655 | + | 0.0363738i | 0.270201 | − | 0.962804i | \(-0.412910\pi\) |
−0.0405461 | + | 0.999178i | \(0.512910\pi\) | |||||||
\(48\) | 47.7050 | − | 21.2396i | 0.143450 | − | 0.0638682i | ||||
\(49\) | 138.472 | + | 124.681i | 0.403709 | + | 0.363501i | ||||
\(50\) | 27.2037 | + | 519.078i | 0.0769437 | + | 1.46817i | ||||
\(51\) | 133.501 | + | 96.9940i | 0.366546 | + | 0.266311i | ||||
\(52\) | 405.571 | − | 378.454i | 1.08159 | − | 1.00927i | ||||
\(53\) | 219.567 | − | 675.758i | 0.569054 | − | 1.75137i | −0.0865332 | − | 0.996249i | \(-0.527579\pi\) |
0.655587 | − | 0.755119i | \(-0.272421\pi\) | |||||||
\(54\) | −149.158 | + | 556.664i | −0.375885 | + | 1.40282i | ||||
\(55\) | −88.4382 | − | 56.6597i | −0.216818 | − | 0.138909i | ||||
\(56\) | 185.128 | + | 106.884i | 0.441763 | + | 0.255052i | ||||
\(57\) | 71.9447 | − | 36.6576i | 0.167181 | − | 0.0851829i | ||||
\(58\) | 949.809 | + | 769.140i | 2.15028 | + | 1.74126i | ||||
\(59\) | 683.030 | + | 262.191i | 1.50717 | + | 0.578547i | 0.965122 | − | 0.261801i | \(-0.0843166\pi\) |
0.542046 | + | 0.840349i | \(0.317650\pi\) | |||||||
\(60\) | 43.3882 | − | 85.1542i | 0.0933566 | − | 0.183223i | ||||
\(61\) | 61.5190 | − | 289.424i | 0.129126 | − | 0.607491i | −0.865228 | − | 0.501379i | \(-0.832826\pi\) |
0.994354 | − | 0.106113i | \(-0.0338404\pi\) | |||||||
\(62\) | −106.495 | + | 1013.24i | −0.218144 | + | 2.07550i | ||||
\(63\) | 223.563 | − | 85.8177i | 0.447083 | − | 0.171619i | ||||
\(64\) | 788.250 | + | 256.118i | 1.53955 | + | 0.500230i | ||||
\(65\) | −18.7357 | + | 133.635i | −0.0357519 | + | 0.255005i | ||||
\(66\) | −209.413 | − | 404.801i | −0.390560 | − | 0.754964i | ||||
\(67\) | −702.903 | − | 188.342i | −1.28169 | − | 0.343428i | −0.447192 | − | 0.894438i | \(-0.647576\pi\) |
−0.834498 | + | 0.551010i | \(0.814242\pi\) | |||||||
\(68\) | 144.754 | + | 681.013i | 0.258147 | + | 1.21448i | ||||
\(69\) | 480.133 | − | 50.4640i | 0.837699 | − | 0.0880457i | ||||
\(70\) | −158.509 | + | 25.1053i | −0.270649 | + | 0.0428666i | ||||
\(71\) | 33.6555 | − | 21.8562i | 0.0562560 | − | 0.0365331i | −0.516205 | − | 0.856465i | \(-0.672656\pi\) |
0.572461 | + | 0.819932i | \(0.305989\pi\) | |||||||
\(72\) | −274.032 | + | 177.959i | −0.448542 | + | 0.291286i | ||||
\(73\) | −1024.44 | + | 162.255i | −1.64248 | + | 0.260144i | −0.908150 | − | 0.418646i | \(-0.862505\pi\) |
−0.734333 | + | 0.678789i | \(0.762505\pi\) | |||||||
\(74\) | −159.774 | + | 16.7929i | −0.250991 | + | 0.0263803i | ||||
\(75\) | −68.0657 | − | 320.224i | −0.104794 | − | 0.493017i | ||||
\(76\) | 329.069 | + | 88.1736i | 0.496668 | + | 0.133082i | ||||
\(77\) | −204.798 | + | 408.145i | −0.303102 | + | 0.604057i | ||||
\(78\) | −360.346 | + | 461.539i | −0.523092 | + | 0.669987i | ||||
\(79\) | 689.827 | + | 224.138i | 0.982425 | + | 0.319209i | 0.755821 | − | 0.654778i | \(-0.227238\pi\) |
0.226604 | + | 0.973987i | \(0.427238\pi\) | |||||||
\(80\) | −50.0359 | + | 19.2070i | −0.0699273 | + | 0.0268426i | ||||
\(81\) | −16.0547 | + | 152.750i | −0.0220229 | + | 0.209534i | ||||
\(82\) | 261.561 | − | 1230.55i | 0.352251 | − | 1.65721i | ||||
\(83\) | −255.324 | + | 501.103i | −0.337657 | + | 0.662689i | −0.995934 | − | 0.0900871i | \(-0.971285\pi\) |
0.658277 | + | 0.752776i | \(0.271285\pi\) | |||||||
\(84\) | −387.914 | − | 148.906i | −0.503867 | − | 0.193416i | ||||
\(85\) | −131.621 | − | 106.585i | −0.167956 | − | 0.136008i | ||||
\(86\) | −1320.09 | + | 672.620i | −1.65522 | + | 0.843378i | ||||
\(87\) | −666.631 | − | 384.880i | −0.821498 | − | 0.474292i | ||||
\(88\) | 157.547 | − | 602.828i | 0.190847 | − | 0.730247i | ||||
\(89\) | 62.5620 | − | 233.485i | 0.0745119 | − | 0.278082i | −0.918610 | − | 0.395165i | \(-0.870687\pi\) |
0.993122 | + | 0.117082i | \(0.0373542\pi\) | |||||||
\(90\) | 75.8028 | − | 233.297i | 0.0887813 | − | 0.273241i | ||||
\(91\) | 586.333 | + | 20.2795i | 0.675433 | + | 0.0233612i | ||||
\(92\) | 1647.90 | + | 1197.27i | 1.86745 | + | 1.35678i | ||||
\(93\) | −33.5829 | − | 640.799i | −0.0374450 | − | 0.714492i | ||||
\(94\) | −247.965 | − | 223.268i | −0.272081 | − | 0.244983i | ||||
\(95\) | −75.7084 | + | 33.7076i | −0.0817634 | + | 0.0364034i | ||||
\(96\) | −608.229 | − | 96.3341i | −0.646637 | − | 0.102417i | ||||
\(97\) | 683.942 | + | 35.8439i | 0.715915 | + | 0.0375195i | 0.406816 | − | 0.913510i | \(-0.366639\pi\) |
0.309099 | + | 0.951030i | \(0.399972\pi\) | |||||||
\(98\) | −214.782 | − | 801.579i | −0.221391 | − | 0.826242i | ||||
\(99\) | −413.743 | − | 562.141i | −0.420028 | − | 0.570680i | ||||
\(100\) | 690.628 | − | 1196.20i | 0.690628 | − | 1.19620i | ||||
\(101\) | 390.120 | − | 82.9225i | 0.384340 | − | 0.0816940i | −0.0116897 | − | 0.999932i | \(-0.503721\pi\) |
0.396030 | + | 0.918238i | \(0.370388\pi\) | |||||||
\(102\) | −263.371 | − | 686.106i | −0.255663 | − | 0.666026i | ||||
\(103\) | 356.890 | − | 491.217i | 0.341412 | − | 0.469913i | −0.603441 | − | 0.797407i | \(-0.706204\pi\) |
0.944853 | + | 0.327494i | \(0.106204\pi\) | |||||||
\(104\) | −788.302 | + | 139.270i | −0.743263 | + | 0.131313i | ||||
\(105\) | 96.1305 | − | 31.2347i | 0.0893464 | − | 0.0290304i | ||||
\(106\) | −2459.24 | + | 1991.45i | −2.25342 | + | 1.82478i | ||||
\(107\) | −66.6724 | + | 149.749i | −0.0602380 | + | 0.135297i | −0.941156 | − | 0.337972i | \(-0.890259\pi\) |
0.880918 | + | 0.473268i | \(0.156926\pi\) | |||||||
\(108\) | 1138.07 | − | 1024.72i | 1.01399 | − | 0.913000i | ||||
\(109\) | 398.885 | + | 398.885i | 0.350516 | + | 0.350516i | 0.860302 | − | 0.509786i | \(-0.170275\pi\) |
−0.509786 | + | 0.860302i | \(0.670275\pi\) | |||||||
\(110\) | 192.893 | + | 426.148i | 0.167197 | + | 0.369378i | ||||
\(111\) | 97.7365 | − | 26.1884i | 0.0835742 | − | 0.0223936i | ||||
\(112\) | 105.788 | + | 207.620i | 0.0892499 | + | 0.175163i | ||||
\(113\) | −152.245 | − | 1448.52i | −0.126744 | − | 1.20588i | −0.854279 | − | 0.519814i | \(-0.826001\pi\) |
0.727536 | − | 0.686070i | \(-0.240666\pi\) | |||||||
\(114\) | −357.640 | − | 37.5894i | −0.293825 | − | 0.0308822i | ||||
\(115\) | −494.821 | + | 25.9325i | −0.401237 | + | 0.0210280i | ||||
\(116\) | −1003.60 | − | 3088.77i | −0.803295 | − | 2.47229i | ||||
\(117\) | −434.493 | + | 784.464i | −0.343324 | + | 0.619861i | ||||
\(118\) | −1915.23 | − | 2636.08i | −1.49416 | − | 2.05653i | ||||
\(119\) | −401.042 | + | 617.550i | −0.308936 | + | 0.475720i | ||||
\(120\) | −119.439 | + | 68.9584i | −0.0908607 | + | 0.0524584i | ||||
\(121\) | 1305.23 | + | 260.643i | 0.980639 | + | 0.195825i | ||||
\(122\) | −931.813 | + | 931.813i | −0.691495 | + | 0.691495i | ||||
\(123\) | −41.4682 | + | 791.260i | −0.0303989 | + | 0.580045i | ||||
\(124\) | 1703.78 | − | 2104.00i | 1.23391 | − | 1.52375i | ||||
\(125\) | 108.858 | + | 687.304i | 0.0778926 | + | 0.491795i | ||||
\(126\) | −1043.19 | − | 221.738i | −0.737581 | − | 0.156778i | ||||
\(127\) | −1116.48 | + | 1239.98i | −0.780093 | + | 0.866381i | −0.993876 | − | 0.110501i | \(-0.964755\pi\) |
0.213784 | + | 0.976881i | \(0.431421\pi\) | |||||||
\(128\) | −1217.68 | − | 1503.71i | −0.840849 | − | 1.03836i | ||||
\(129\) | 754.921 | − | 548.482i | 0.515249 | − | 0.374350i | ||||
\(130\) | 394.127 | − | 453.696i | 0.265901 | − | 0.306091i | ||||
\(131\) | 2247.14i | 1.49873i | 0.662157 | + | 0.749365i | \(0.269641\pi\) | ||||
−0.662157 | + | 0.749365i | \(0.730359\pi\) | |||||||
\(132\) | −119.161 | + | 1205.23i | −0.0785727 | + | 0.794712i | ||||
\(133\) | 180.153 | + | 312.035i | 0.117453 | + | 0.203435i | ||||
\(134\) | 2168.58 | + | 2408.45i | 1.39804 | + | 1.55268i | ||||
\(135\) | −58.2773 | + | 367.948i | −0.0371534 | + | 0.234578i | ||||
\(136\) | 360.058 | − | 937.983i | 0.227020 | − | 0.591407i | ||||
\(137\) | 142.862 | + | 219.988i | 0.0890914 | + | 0.137189i | 0.880406 | − | 0.474220i | \(-0.157270\pi\) |
−0.791315 | + | 0.611409i | \(0.790603\pi\) | |||||||
\(138\) | −1915.76 | − | 976.129i | −1.18174 | − | 0.602128i | ||||
\(139\) | −532.791 | − | 1196.67i | −0.325113 | − | 0.730216i | 0.674857 | − | 0.737949i | \(-0.264205\pi\) |
−0.999970 | + | 0.00773232i | \(0.997539\pi\) | |||||||
\(140\) | 389.592 | + | 173.457i | 0.235189 | + | 0.104713i | ||||
\(141\) | 176.250 | + | 114.458i | 0.105269 | + | 0.0683624i | ||||
\(142\) | −178.722 | −0.105620 | ||||||||
\(143\) | −395.502 | − | 1663.67i | −0.231284 | − | 0.972886i | ||||
\(144\) | −356.170 | −0.206117 | ||||||||
\(145\) | 662.587 | + | 430.289i | 0.379482 | + | 0.246438i | ||||
\(146\) | 4219.96 | + | 1878.85i | 2.39210 | + | 1.06503i | ||||
\(147\) | 212.587 | + | 477.478i | 0.119278 | + | 0.267903i | ||||
\(148\) | 380.381 | + | 193.814i | 0.211264 | + | 0.107645i | ||||
\(149\) | 1132.52 | + | 1743.93i | 0.622683 | + | 0.958848i | 0.999470 | + | 0.0325477i | \(0.0103621\pi\) |
−0.376787 | + | 0.926300i | \(0.622971\pi\) | |||||||
\(150\) | −522.507 | + | 1361.18i | −0.284417 | + | 0.740931i | ||||
\(151\) | 388.315 | − | 2451.73i | 0.209276 | − | 1.32132i | −0.629569 | − | 0.776945i | \(-0.716768\pi\) |
0.838845 | − | 0.544371i | \(-0.183232\pi\) | |||||||
\(152\) | −328.962 | − | 365.349i | −0.175542 | − | 0.194959i | ||||
\(153\) | −562.756 | − | 974.721i | −0.297360 | − | 0.515043i | ||||
\(154\) | 1754.95 | − | 1027.71i | 0.918297 | − | 0.537761i | ||||
\(155\) | 658.588i | 0.341284i | ||||||||
\(156\) | 1471.06 | − | 507.074i | 0.754992 | − | 0.260246i | ||||
\(157\) | −1361.00 | + | 988.828i | −0.691847 | + | 0.502656i | −0.877267 | − | 0.480003i | \(-0.840636\pi\) |
0.185420 | + | 0.982659i | \(0.440636\pi\) | |||||||
\(158\) | −2032.91 | − | 2510.44i | −1.02361 | − | 1.26405i | ||||
\(159\) | 1333.61 | − | 1481.13i | 0.665173 | − | 0.738750i | ||||
\(160\) | 618.228 | + | 131.408i | 0.305470 | + | 0.0649296i | ||||
\(161\) | 337.003 | + | 2127.76i | 0.164966 | + | 1.04156i | ||||
\(162\) | 430.480 | − | 531.599i | 0.208776 | − | 0.257817i | ||||
\(163\) | −37.9442 | + | 724.019i | −0.0182333 | + | 0.347911i | 0.974245 | + | 0.225491i | \(0.0723988\pi\) |
−0.992478 | + | 0.122420i | \(0.960935\pi\) | |||||||
\(164\) | −2363.88 | + | 2363.88i | −1.12554 | + | 1.12554i | ||||
\(165\) | −161.980 | − | 246.090i | −0.0764252 | − | 0.116110i | ||||
\(166\) | 2169.15 | − | 1252.36i | 1.01421 | − | 0.585554i | ||||
\(167\) | 514.129 | − | 791.689i | 0.238230 | − | 0.366843i | −0.699252 | − | 0.714875i | \(-0.746483\pi\) |
0.937482 | + | 0.348033i | \(0.113150\pi\) | |||||||
\(168\) | 352.447 | + | 485.102i | 0.161857 | + | 0.222776i | ||||
\(169\) | −1730.36 | + | 1353.76i | −0.787600 | + | 0.616187i | ||||
\(170\) | 233.087 | + | 717.369i | 0.105159 | + | 0.323645i | ||||
\(171\) | −549.979 | + | 28.8232i | −0.245953 | + | 0.0128898i | ||||
\(172\) | 3915.46 | + | 411.532i | 1.73576 | + | 0.182436i | ||||
\(173\) | −433.610 | − | 4125.52i | −0.190559 | − | 1.81305i | −0.504287 | − | 0.863536i | \(-0.668245\pi\) |
0.313728 | − | 0.949513i | \(-0.398422\pi\) | |||||||
\(174\) | 1556.38 | + | 3054.56i | 0.678096 | + | 1.33084i | ||||
\(175\) | 1411.07 | − | 378.094i | 0.609524 | − | 0.163321i | ||||
\(176\) | 501.919 | − | 457.569i | 0.214963 | − | 0.195969i | ||||
\(177\) | 1451.13 | + | 1451.13i | 0.616237 | + | 0.616237i | ||||
\(178\) | −800.021 | + | 720.342i | −0.336877 | + | 0.303326i | ||||
\(179\) | −1641.45 | + | 3686.75i | −0.685405 | + | 1.53944i | 0.149328 | + | 0.988788i | \(0.452289\pi\) |
−0.834732 | + | 0.550656i | \(0.814378\pi\) | |||||||
\(180\) | −506.584 | + | 410.224i | −0.209770 | + | 0.169868i | ||||
\(181\) | −2816.49 | + | 915.132i | −1.15662 | + | 0.375808i | −0.823632 | − | 0.567124i | \(-0.808056\pi\) |
−0.332985 | + | 0.942932i | \(0.608056\pi\) | |||||||
\(182\) | −2140.84 | − | 1497.97i | −0.871920 | − | 0.610092i | ||||
\(183\) | 487.847 | − | 671.464i | 0.197064 | − | 0.271235i | ||||
\(184\) | −1053.40 | − | 2744.20i | −0.422053 | − | 1.09948i | ||||
\(185\) | −101.581 | + | 21.5918i | −0.0403698 | + | 0.00858086i | ||||
\(186\) | −1428.90 | + | 2474.92i | −0.563290 | + | 0.975646i | ||||
\(187\) | 2045.26 | + | 650.620i | 0.799809 | + | 0.254428i | ||||
\(188\) | 229.487 | + | 856.458i | 0.0890270 | + | 0.332253i | ||||
\(189\) | 1617.45 | + | 84.7667i | 0.622497 | + | 0.0326237i | ||||
\(190\) | 364.542 | + | 57.7378i | 0.139193 | + | 0.0220460i | ||||
\(191\) | −459.236 | + | 204.465i | −0.173974 | + | 0.0774584i | −0.491876 | − | 0.870665i | \(-0.663689\pi\) |
0.317901 | + | 0.948124i | \(0.397022\pi\) | |||||||
\(192\) | 1727.69 | + | 1555.62i | 0.649402 | + | 0.584724i | ||||
\(193\) | −226.412 | − | 4320.19i | −0.0844429 | − | 1.61127i | −0.632320 | − | 0.774707i | \(-0.717897\pi\) |
0.547877 | − | 0.836559i | \(-0.315436\pi\) | |||||||
\(194\) | −2467.66 | − | 1792.86i | −0.913236 | − | 0.663505i | ||||
\(195\) | −200.474 | + | 321.064i | −0.0736218 | + | 0.117907i | ||||
\(196\) | −681.445 | + | 2097.27i | −0.248340 | + | 0.764312i | ||||
\(197\) | −163.727 | + | 611.036i | −0.0592134 | + | 0.220987i | −0.989192 | − | 0.146626i | \(-0.953158\pi\) |
0.929979 | + | 0.367614i | \(0.119825\pi\) | |||||||
\(198\) | 181.842 | + | 3103.25i | 0.0652676 | + | 1.11383i | ||||
\(199\) | −214.840 | − | 124.038i | −0.0765308 | − | 0.0441851i | 0.461246 | − | 0.887272i | \(-0.347402\pi\) |
−0.537777 | + | 0.843087i | \(0.680736\pi\) | |||||||
\(200\) | −1776.02 | + | 904.926i | −0.627917 | + | 0.319940i | ||||
\(201\) | −1586.31 | − | 1284.57i | −0.556666 | − | 0.450779i | ||||
\(202\) | −1658.28 | − | 636.555i | −0.577606 | − | 0.221722i | ||||
\(203\) | 1559.40 | − | 3060.49i | 0.539153 | − | 1.05815i | ||||
\(204\) | −406.036 | + | 1910.25i | −0.139354 | + | 0.655609i | ||||
\(205\) | 85.0053 | − | 808.771i | 0.0289611 | − | 0.275547i | ||||
\(206\) | −2524.53 | + | 969.077i | −0.853847 | + | 0.327761i | ||||
\(207\) | −3131.68 | − | 1017.54i | −1.05153 | − | 0.341663i | ||||
\(208\) | −803.344 | − | 340.683i | −0.267797 | − | 0.113568i | ||||
\(209\) | 738.007 | − | 747.172i | 0.244254 | − | 0.247287i | ||||
\(210\) | −434.823 | − | 116.510i | −0.142884 | − | 0.0382856i | ||||
\(211\) | 22.8406 | + | 107.457i | 0.00745219 | + | 0.0350598i | 0.981717 | − | 0.190348i | \(-0.0609618\pi\) |
−0.974264 | + | 0.225408i | \(0.927628\pi\) | |||||||
\(212\) | 8362.94 | − | 878.980i | 2.70929 | − | 0.284758i | ||||
\(213\) | 111.178 | − | 17.6089i | 0.0357644 | − | 0.00566452i | ||||
\(214\) | 612.263 | − | 397.608i | 0.195577 | − | 0.127009i | ||||
\(215\) | −803.215 | + | 521.614i | −0.254785 | + | 0.165459i | ||||
\(216\) | −2182.77 | + | 345.717i | −0.687586 | + | 0.108903i | ||||
\(217\) | 2847.65 | − | 299.300i | 0.890834 | − | 0.0936305i | ||||
\(218\) | −522.342 | − | 2457.43i | −0.162282 | − | 0.763477i | ||||
\(219\) | −2810.24 | − | 753.002i | −0.867116 | − | 0.232343i | ||||
\(220\) | 186.872 | − | 1228.90i | 0.0572679 | − | 0.376601i | ||||
\(221\) | −336.960 | − | 2736.78i | −0.102563 | − | 0.833012i | ||||
\(222\) | −428.581 | − | 139.254i | −0.129570 | − | 0.0420997i | ||||
\(223\) | 2382.24 | − | 914.457i | 0.715367 | − | 0.274604i | 0.0266610 | − | 0.999645i | \(-0.491513\pi\) |
0.688706 | + | 0.725041i | \(0.258179\pi\) | |||||||
\(224\) | 287.235 | − | 2732.85i | 0.0856771 | − | 0.815163i | ||||
\(225\) | −464.250 | + | 2184.12i | −0.137556 | + | 0.647148i | ||||
\(226\) | −2944.89 | + | 5779.67i | −0.866775 | + | 1.70114i | ||||
\(227\) | −1011.11 | − | 388.129i | −0.295638 | − | 0.113485i | 0.206029 | − | 0.978546i | \(-0.433946\pi\) |
−0.501666 | + | 0.865061i | \(0.667279\pi\) | |||||||
\(228\) | 742.642 | + | 601.380i | 0.215714 | + | 0.174681i | ||||
\(229\) | −4036.97 | + | 2056.94i | −1.16494 | + | 0.593565i | −0.926020 | − | 0.377475i | \(-0.876792\pi\) |
−0.238917 | + | 0.971040i | \(0.576792\pi\) | |||||||
\(230\) | 1911.12 | + | 1103.38i | 0.547893 | + | 0.316326i | ||||
\(231\) | −990.448 | + | 812.219i | −0.282107 | + | 0.231342i | ||||
\(232\) | −1213.02 | + | 4527.05i | −0.343270 | + | 1.28110i | ||||
\(233\) | −898.241 | + | 2764.50i | −0.252557 | + | 0.777290i | 0.741744 | + | 0.670683i | \(0.233999\pi\) |
−0.994301 | + | 0.106607i | \(0.966001\pi\) | |||||||
\(234\) | 3525.70 | − | 1876.15i | 0.984965 | − | 0.524137i | ||||
\(235\) | −174.498 | − | 126.781i | −0.0484384 | − | 0.0351926i | ||||
\(236\) | 453.156 | + | 8646.73i | 0.124991 | + | 2.38497i | ||||
\(237\) | 1511.97 | + | 1361.38i | 0.414400 | + | 0.373127i | ||||
\(238\) | 2995.88 | − | 1333.85i | 0.815941 | − | 0.363280i | ||||
\(239\) | −4097.70 | − | 649.011i | −1.10903 | − | 0.175653i | −0.425061 | − | 0.905165i | \(-0.639747\pi\) |
−0.683968 | + | 0.729512i | \(0.739747\pi\) | |||||||
\(240\) | −150.131 | − | 7.86801i | −0.0403787 | − | 0.00211616i | ||||
\(241\) | 220.679 | + | 823.585i | 0.0589841 | + | 0.220132i | 0.989126 | − | 0.147067i | \(-0.0469834\pi\) |
−0.930142 | + | 0.367199i | \(0.880317\pi\) | |||||||
\(242\) | −4242.98 | − | 4139.52i | −1.12706 | − | 1.09958i | ||||
\(243\) | −1962.32 | + | 3398.84i | −0.518037 | + | 0.897266i | ||||
\(244\) | 3425.27 | − | 728.063i | 0.898689 | − | 0.191022i | ||||
\(245\) | −192.242 | − | 500.809i | −0.0501303 | − | 0.130594i | ||||
\(246\) | 2074.18 | − | 2854.87i | 0.537582 | − | 0.739918i | ||||
\(247\) | −1268.05 | − | 461.054i | −0.326656 | − | 0.118770i | ||||
\(248\) | −3715.70 | + | 1207.31i | −0.951401 | + | 0.309129i | ||||
\(249\) | −1225.98 | + | 992.778i | −0.312021 | + | 0.252670i | ||||
\(250\) | 1260.54 | − | 2831.21i | 0.318893 | − | 0.716246i | ||||
\(251\) | −426.978 | + | 384.453i | −0.107373 | + | 0.0966791i | −0.721069 | − | 0.692864i | \(-0.756349\pi\) |
0.613696 | + | 0.789543i | \(0.289682\pi\) | |||||||
\(252\) | 2003.97 | + | 2003.97i | 0.500946 | + | 0.500946i | ||||
\(253\) | 5720.43 | − | 2589.31i | 1.42150 | − | 0.643433i | ||||
\(254\) | 7177.91 | − | 1923.32i | 1.77316 | − | 0.475116i | ||||
\(255\) | −215.677 | − | 423.290i | −0.0529656 | − | 0.103951i | ||||
\(256\) | 207.682 | + | 1975.96i | 0.0507036 | + | 0.482413i | ||||
\(257\) | 608.054 | + | 63.9091i | 0.147585 | + | 0.0155118i | 0.178033 | − | 0.984025i | \(-0.443027\pi\) |
−0.0304478 | + | 0.999536i | \(0.509693\pi\) | |||||||
\(258\) | −4150.13 | + | 217.499i | −1.00146 | + | 0.0524841i | ||||
\(259\) | 139.524 | + | 429.412i | 0.0334734 | + | 0.103021i | ||||
\(260\) | −1534.99 | + | 440.705i | −0.366139 | + | 0.105121i | ||||
\(261\) | 3086.01 | + | 4247.53i | 0.731874 | + | 1.00734i | ||||
\(262\) | 5450.71 | − | 8393.35i | 1.28529 | − | 1.97917i | ||||
\(263\) | 1471.30 | − | 849.457i | 0.344960 | − | 0.199163i | −0.317503 | − | 0.948257i | \(-0.602844\pi\) |
0.662463 | + | 0.749095i | \(0.269511\pi\) | |||||||
\(264\) | 1091.48 | − | 1365.01i | 0.254455 | − | 0.318221i | ||||
\(265\) | −1446.44 | + | 1446.44i | −0.335299 | + | 0.335299i | ||||
\(266\) | 83.9820 | − | 1602.47i | 0.0193581 | − | 0.369375i | ||||
\(267\) | 426.698 | − | 526.929i | 0.0978034 | − | 0.120777i | ||||
\(268\) | −1347.24 | − | 8506.11i | −0.307073 | − | 1.93878i | ||||
\(269\) | 7520.56 | + | 1598.55i | 1.70460 | + | 0.362323i | 0.954317 | − | 0.298796i | \(-0.0965849\pi\) |
0.750281 | + | 0.661119i | \(0.229918\pi\) | |||||||
\(270\) | 1110.18 | − | 1232.97i | 0.250234 | − | 0.277913i | ||||
\(271\) | 1643.77 | + | 2029.89i | 0.368457 | + | 0.455007i | 0.927329 | − | 0.374247i | \(-0.122099\pi\) |
−0.558872 | + | 0.829254i | \(0.688766\pi\) | |||||||
\(272\) | 886.029 | − | 643.738i | 0.197513 | − | 0.143501i | ||||
\(273\) | 1479.35 | + | 720.914i | 0.327964 | + | 0.159823i | ||||
\(274\) | − | 1168.21i | − | 0.257570i | ||||||
\(275\) | −2151.70 | − | 3674.31i | −0.471828 | − | 0.805707i | ||||
\(276\) | 2856.78 | + | 4948.09i | 0.623036 | + | 1.07913i | ||||
\(277\) | 3251.15 | + | 3610.76i | 0.705208 | + | 0.783212i | 0.984196 | − | 0.177082i | \(-0.0566658\pi\) |
−0.278989 | + | 0.960294i | \(0.589999\pi\) | |||||||
\(278\) | −912.619 | + | 5762.05i | −0.196889 | + | 1.24311i | ||||
\(279\) | −1568.45 | + | 4085.95i | −0.336561 | + | 0.876772i | ||||
\(280\) | −335.182 | − | 516.135i | −0.0715391 | − | 0.110161i | ||||
\(281\) | 5763.68 | + | 2936.74i | 1.22360 | + | 0.623457i | 0.941851 | − | 0.336030i | \(-0.109084\pi\) |
0.281752 | + | 0.959487i | \(0.409084\pi\) | |||||||
\(282\) | −380.684 | − | 855.030i | −0.0803879 | − | 0.180554i | ||||
\(283\) | −4317.69 | − | 1922.36i | −0.906927 | − | 0.403790i | −0.100372 | − | 0.994950i | \(-0.532003\pi\) |
−0.806554 | + | 0.591160i | \(0.798670\pi\) | |||||||
\(284\) | 398.305 | + | 258.662i | 0.0832221 | + | 0.0540451i | ||||
\(285\) | −232.460 | −0.0483149 | ||||||||
\(286\) | −2558.17 | + | 7173.33i | −0.528908 | + | 1.48311i | ||||
\(287\) | −3535.65 | −0.727188 | ||||||||
\(288\) | 3522.60 | + | 2287.60i | 0.720732 | + | 0.468049i | ||||
\(289\) | −1326.60 | − | 590.642i | −0.270019 | − | 0.120220i | ||||
\(290\) | −1431.13 | − | 3214.36i | −0.289788 | − | 0.650875i | ||||
\(291\) | 1711.71 | + | 872.160i | 0.344819 | + | 0.175694i | ||||
\(292\) | −6685.49 | − | 10294.8i | −1.33986 | − | 2.06320i | ||||
\(293\) | 2947.41 | − | 7678.27i | 0.587678 | − | 1.53095i | −0.240593 | − | 0.970626i | \(-0.577342\pi\) |
0.828271 | − | 0.560327i | \(-0.189325\pi\) | |||||||
\(294\) | 364.141 | − | 2299.10i | 0.0722351 | − | 0.456075i | ||||
\(295\) | −1409.39 | − | 1565.28i | −0.278161 | − | 0.308929i | ||||
\(296\) | −308.035 | − | 533.532i | −0.0604871 | − | 0.104767i | ||||
\(297\) | −1010.01 | − | 4611.60i | −0.197328 | − | 0.900983i | ||||
\(298\) | − | 9260.85i | − | 1.80022i | ||||||
\(299\) | −6090.22 | − | 5290.59i | −1.17795 | − | 1.02329i | ||||
\(300\) | 3134.49 | − | 2277.34i | 0.603232 | − | 0.438274i | ||||
\(301\) | 2620.42 | + | 3235.95i | 0.501789 | + | 0.619657i | ||||
\(302\) | −7397.35 | + | 8215.59i | −1.40950 | + | 1.56541i | ||||
\(303\) | 1094.29 | + | 232.598i | 0.207476 | + | 0.0441004i | ||||
\(304\) | −83.8329 | − | 529.300i | −0.0158163 | − | 0.0998600i | ||||
\(305\) | −536.085 | + | 662.009i | −0.100643 | + | 0.124284i | ||||
\(306\) | −262.339 | + | 5005.73i | −0.0490096 | + | 0.935159i | ||||
\(307\) | −4105.06 | + | 4105.06i | −0.763153 | + | 0.763153i | −0.976891 | − | 0.213738i | \(-0.931436\pi\) |
0.213738 | + | 0.976891i | \(0.431436\pi\) | |||||||
\(308\) | −5398.51 | − | 249.531i | −0.998730 | − | 0.0461634i | ||||
\(309\) | 1474.96 | − | 851.570i | 0.271546 | − | 0.156777i | ||||
\(310\) | 1597.48 | − | 2459.91i | 0.292681 | − | 0.450688i | ||||
\(311\) | −2201.77 | − | 3030.47i | −0.401449 | − | 0.552547i | 0.559658 | − | 0.828724i | \(-0.310933\pi\) |
−0.961107 | + | 0.276177i | \(0.910933\pi\) | |||||||
\(312\) | −2178.92 | − | 542.494i | −0.395375 | − | 0.0984381i | ||||
\(313\) | 14.3446 | + | 44.1480i | 0.00259042 | + | 0.00797250i | 0.952343 | − | 0.305028i | \(-0.0986658\pi\) |
−0.949753 | + | 0.313001i | \(0.898666\pi\) | |||||||
\(314\) | 7482.04 | − | 392.117i | 1.34470 | − | 0.0704727i | ||||
\(315\) | −685.635 | − | 72.0631i | −0.122639 | − | 0.0128898i | ||||
\(316\) | 897.280 | + | 8537.05i | 0.159734 | + | 1.51977i | ||||
\(317\) | −1727.29 | − | 3389.99i | −0.306038 | − | 0.600634i | 0.685851 | − | 0.727742i | \(-0.259430\pi\) |
−0.991889 | + | 0.127109i | \(0.959430\pi\) | |||||||
\(318\) | −8573.87 | + | 2297.36i | −1.51195 | + | 0.405125i | ||||
\(319\) | −9805.61 | − | 2021.09i | −1.72103 | − | 0.354731i | ||||
\(320\) | −1687.23 | − | 1687.23i | −0.294746 | − | 0.294746i | ||||
\(321\) | −341.697 | + | 307.665i | −0.0594133 | + | 0.0534960i | ||||
\(322\) | 3902.37 | − | 8764.87i | 0.675375 | − | 1.51692i | ||||
\(323\) | 1316.06 | − | 1065.73i | 0.226711 | − | 0.183587i | ||||
\(324\) | −1728.76 | + | 561.707i | −0.296426 | + | 0.0963146i | ||||
\(325\) | −3136.27 | + | 4482.24i | −0.535290 | + | 0.765016i | ||||
\(326\) | 1897.92 | − | 2612.26i | 0.322442 | − | 0.443803i | ||||
\(327\) | 567.056 | + | 1477.23i | 0.0958969 | + | 0.249820i | ||||
\(328\) | 4718.85 | − | 1003.02i | 0.794375 | − | 0.168850i | ||||
\(329\) | −468.880 | + | 812.125i | −0.0785721 | + | 0.136091i | ||||
\(330\) | 8.09645 | + | 1312.08i | 0.00135059 | + | 0.218871i | ||||
\(331\) | −835.279 | − | 3117.31i | −0.138704 | − | 0.517651i | −0.999955 | − | 0.00947134i | \(-0.996985\pi\) |
0.861251 | − | 0.508180i | \(-0.169682\pi\) | |||||||
\(332\) | −6646.75 | − | 348.342i | −1.09876 | − | 0.0575835i | ||||
\(333\) | −681.643 | − | 107.962i | −0.112174 | − | 0.0177665i | ||||
\(334\) | −3840.67 | + | 1709.98i | −0.629198 | + | 0.280137i | ||||
\(335\) | 1556.88 | + | 1401.82i | 0.253915 | + | 0.228626i | ||||
\(336\) | 34.2076 | + | 652.720i | 0.00555410 | + | 0.105979i | ||||
\(337\) | 2904.09 | + | 2109.95i | 0.469424 | + | 0.341057i | 0.797217 | − | 0.603693i | \(-0.206305\pi\) |
−0.327793 | + | 0.944750i | \(0.606305\pi\) | |||||||
\(338\) | 9746.81 | − | 859.286i | 1.56851 | − | 0.138281i | ||||
\(339\) | 1262.48 | − | 3885.53i | 0.202268 | − | 0.622516i | ||||
\(340\) | 518.774 | − | 1936.09i | 0.0827484 | − | 0.308821i | ||||
\(341\) | −3038.92 | − | 7772.95i | −0.482600 | − | 1.23439i | ||||
\(342\) | 2124.15 | + | 1226.38i | 0.335851 | + | 0.193904i | ||||
\(343\) | −5903.35 | + | 3007.91i | −0.929304 | + | 0.473504i | ||||
\(344\) | −4415.34 | − | 3575.47i | −0.692032 | − | 0.560396i | ||||
\(345\) | −1297.57 | − | 498.089i | −0.202489 | − | 0.0777282i | ||||
\(346\) | −8387.35 | + | 16461.1i | −1.30320 | + | 2.55767i | ||||
\(347\) | 497.795 | − | 2341.94i | 0.0770117 | − | 0.362312i | −0.922720 | − | 0.385471i | \(-0.874039\pi\) |
0.999732 | + | 0.0231591i | \(0.00737244\pi\) | |||||||
\(348\) | 952.245 | − | 9060.01i | 0.146683 | − | 1.39560i | ||||
\(349\) | −4691.86 | + | 1801.04i | −0.719626 | + | 0.276238i | −0.690495 | − | 0.723337i | \(-0.742607\pi\) |
−0.0291308 | + | 0.999576i | \(0.509274\pi\) | |||||||
\(350\) | −6187.62 | − | 2010.48i | −0.944978 | − | 0.307042i | ||||
\(351\) | −4842.73 | + | 3651.79i | −0.736427 | + | 0.555323i | ||||
\(352\) | −7902.95 | + | 1301.74i | −1.19667 | + | 0.197111i | ||||
\(353\) | 745.234 | + | 199.685i | 0.112365 | + | 0.0301081i | 0.314563 | − | 0.949236i | \(-0.398142\pi\) |
−0.202198 | + | 0.979345i | \(0.564809\pi\) | |||||||
\(354\) | −1900.27 | − | 8940.06i | −0.285305 | − | 1.34226i | ||||
\(355\) | −114.898 | + | 12.0762i | −0.0171778 | + | 0.00180546i | ||||
\(356\) | 2825.49 | − | 447.514i | 0.420648 | − | 0.0666241i | ||||
\(357\) | −1732.23 | + | 1124.93i | −0.256806 | + | 0.166771i | ||||
\(358\) | 15073.6 | − | 9788.94i | 2.22533 | − | 1.44514i | ||||
\(359\) | 9026.46 | − | 1429.65i | 1.32701 | − | 0.210178i | 0.547628 | − | 0.836722i | \(-0.315531\pi\) |
0.779386 | + | 0.626544i | \(0.215531\pi\) | |||||||
\(360\) | 935.525 | − | 98.3276i | 0.136963 | − | 0.0143953i | ||||
\(361\) | 1253.78 | + | 5898.58i | 0.182794 | + | 0.859977i | ||||
\(362\) | 12739.7 | + | 3413.59i | 1.84968 | + | 0.495619i | ||||
\(363\) | 3047.29 | + | 2157.04i | 0.440610 | + | 0.311887i | ||||
\(364\) | 2603.14 | + | 6436.81i | 0.374839 | + | 0.926870i | ||||
\(365\) | 2839.90 | + | 922.738i | 0.407252 | + | 0.132324i | ||||
\(366\) | −3450.88 | + | 1324.67i | −0.492843 | + | 0.189185i | ||||
\(367\) | 319.408 | − | 3038.96i | 0.0454304 | − | 0.432241i | −0.948040 | − | 0.318151i | \(-0.896938\pi\) |
0.993470 | − | 0.114090i | \(-0.0363953\pi\) | |||||||
\(368\) | 666.178 | − | 3134.12i | 0.0943667 | − | 0.443960i | ||||
\(369\) | 2453.50 | − | 4815.26i | 0.346135 | − | 0.679329i | ||||
\(370\) | 431.792 | + | 165.749i | 0.0606697 | + | 0.0232889i | ||||
\(371\) | 6911.57 | + | 5596.88i | 0.967199 | + | 0.783222i | ||||
\(372\) | 6766.40 | − | 3447.66i | 0.943069 | − | 0.480518i | ||||
\(373\) | 8542.20 | + | 4931.84i | 1.18579 | + | 0.684614i | 0.957346 | − | 0.288944i | \(-0.0933040\pi\) |
0.228440 | + | 0.973558i | \(0.426637\pi\) | |||||||
\(374\) | −6061.14 | − | 7391.16i | −0.838006 | − | 1.02189i | ||||
\(375\) | −505.196 | + | 1885.42i | −0.0695685 | + | 0.259633i | ||||
\(376\) | 395.400 | − | 1216.92i | 0.0542319 | − | 0.166909i | ||||
\(377\) | 2897.68 | + | 12532.2i | 0.395857 | + | 1.71204i | ||||
\(378\) | −5835.75 | − | 4239.92i | −0.794070 | − | 0.576925i | ||||
\(379\) | −236.074 | − | 4504.57i | −0.0319956 | − | 0.610512i | −0.966829 | − | 0.255425i | \(-0.917785\pi\) |
0.934833 | − | 0.355087i | \(-0.115549\pi\) | |||||||
\(380\) | −728.865 | − | 656.273i | −0.0983947 | − | 0.0885950i | ||||
\(381\) | −4275.68 | + | 1903.66i | −0.574934 | + | 0.255977i | ||||
\(382\) | 2211.25 | + | 350.228i | 0.296172 | + | 0.0469090i | ||||
\(383\) | −7577.48 | − | 397.119i | −1.01094 | − | 0.0529813i | −0.460335 | − | 0.887745i | \(-0.652271\pi\) |
−0.550608 | + | 0.834764i | \(0.685604\pi\) | |||||||
\(384\) | −1404.73 | − | 5242.51i | −0.186679 | − | 0.696695i | ||||
\(385\) | 1058.78 | − | 779.279i | 0.140157 | − | 0.103158i | ||||
\(386\) | −9633.46 | + | 16685.6i | −1.27029 | + | 2.20020i | ||||
\(387\) | −6225.47 | + | 1323.26i | −0.817722 | + | 0.173812i | ||||
\(388\) | 2904.71 | + | 7567.04i | 0.380063 | + | 0.990098i | ||||
\(389\) | 4304.81 | − | 5925.07i | 0.561086 | − | 0.772269i | −0.430378 | − | 0.902649i | \(-0.641620\pi\) |
0.991464 | + | 0.130380i | \(0.0416196\pi\) | |||||||
\(390\) | 1527.57 | − | 712.940i | 0.198338 | − | 0.0925669i | ||||
\(391\) | 9629.65 | − | 3128.86i | 1.24550 | − | 0.404689i | ||||
\(392\) | 2473.11 | − | 2002.68i | 0.318650 | − | 0.258038i | ||||
\(393\) | −2563.77 | + | 5758.31i | −0.329071 | + | 0.739106i | ||||
\(394\) | 2093.68 | − | 1885.16i | 0.267710 | − | 0.241048i | ||||
\(395\) | −1476.56 | − | 1476.56i | −0.188085 | − | 0.188085i | ||||
\(396\) | 4086.03 | − | 7179.16i | 0.518512 | − | 0.911026i | ||||
\(397\) | 7297.66 | − | 1955.40i | 0.922567 | − | 0.247201i | 0.233885 | − | 0.972264i | \(-0.424856\pi\) |
0.688682 | + | 0.725063i | \(0.258190\pi\) | |||||||
\(398\) | 501.586 | + | 984.418i | 0.0631715 | + | 0.123981i | ||||
\(399\) | 105.643 | + | 1005.13i | 0.0132551 | + | 0.126114i | ||||
\(400\) | −2160.87 | − | 227.116i | −0.270108 | − | 0.0283895i | ||||
\(401\) | 3016.26 | − | 158.076i | 0.375623 | − | 0.0196856i | 0.136410 | − | 0.990653i | \(-0.456444\pi\) |
0.239214 | + | 0.970967i | \(0.423110\pi\) | |||||||
\(402\) | 2809.20 | + | 8645.81i | 0.348532 | + | 1.07267i | ||||
\(403\) | −7445.94 | + | 7715.64i | −0.920369 | + | 0.953706i | ||||
\(404\) | 2774.42 | + | 3818.65i | 0.341664 | + | 0.470260i | ||||
\(405\) | 240.828 | − | 370.843i | 0.0295478 | − | 0.0454996i | ||||
\(406\) | −13248.1 | + | 7648.79i | −1.61944 | + | 0.934983i | ||||
\(407\) | 1099.28 | − | 723.561i | 0.133880 | − | 0.0881218i | ||||
\(408\) | 1992.80 | − | 1992.80i | 0.241809 | − | 0.241809i | ||||
\(409\) | −43.8327 | + | 836.379i | −0.00529924 | + | 0.101116i | −0.999999 | − | 0.00171106i | \(-0.999455\pi\) |
0.994699 | + | 0.102827i | \(0.0327887\pi\) | |||||||
\(410\) | −2279.27 | + | 2814.67i | −0.274550 | + | 0.339041i | ||||
\(411\) | 115.100 | + | 726.712i | 0.0138138 | + | 0.0872167i | ||||
\(412\) | 7028.77 | + | 1494.01i | 0.840492 | + | 0.178652i | ||||
\(413\) | −6127.57 | + | 6805.35i | −0.730067 | + | 0.810822i | ||||
\(414\) | 9229.03 | + | 11396.9i | 1.09561 | + | 1.35296i | ||||
\(415\) | 1309.89 | − | 951.690i | 0.154940 | − | 0.112570i | ||||
\(416\) | 5757.11 | + | 8529.13i | 0.678523 | + | 1.00523i | ||||
\(417\) | − | 3674.33i | − | 0.431493i | ||||||
\(418\) | −4568.90 | + | 1000.66i | −0.534623 | + | 0.117090i | ||||
\(419\) | −761.694 | − | 1319.29i | −0.0888096 | − | 0.153823i | 0.818199 | − | 0.574936i | \(-0.194973\pi\) |
−0.907008 | + | 0.421113i | \(0.861640\pi\) | |||||||
\(420\) | 800.433 | + | 888.971i | 0.0929932 | + | 0.103279i | ||||
\(421\) | −11.0280 | + | 69.6279i | −0.00127665 | + | 0.00806047i | −0.988318 | − | 0.152403i | \(-0.951299\pi\) |
0.987042 | + | 0.160463i | \(0.0512989\pi\) | |||||||
\(422\) | 175.336 | − | 456.766i | 0.0202256 | − | 0.0526896i | ||||
\(423\) | −780.675 | − | 1202.13i | −0.0897345 | − | 0.138179i | ||||
\(424\) | −10812.3 | − | 5509.13i | −1.23842 | − | 0.631008i | ||||
\(425\) | −2792.67 | − | 6272.44i | −0.318740 | − | 0.715901i | ||||
\(426\) | −457.977 | − | 203.904i | −0.0520870 | − | 0.0231906i | ||||
\(427\) | 3106.07 | + | 2017.10i | 0.352022 | + | 0.228606i | ||||
\(428\) | −1939.96 | −0.219092 | ||||||||
\(429\) | 884.601 | − | 4714.38i | 0.0995547 | − | 0.530565i | ||||
\(430\) | 4265.34 | 0.478356 | ||||||||
\(431\) | −7308.05 | − | 4745.91i | −0.816744 | − | 0.530400i | 0.0673388 | − | 0.997730i | \(-0.478549\pi\) |
−0.884083 | + | 0.467330i | \(0.845216\pi\) | |||||||
\(432\) | −2200.72 | − | 979.824i | −0.245098 | − | 0.109125i | ||||
\(433\) | 2332.31 | + | 5238.46i | 0.258854 | + | 0.581395i | 0.995487 | − | 0.0948971i | \(-0.0302522\pi\) |
−0.736633 | + | 0.676293i | \(0.763586\pi\) | |||||||
\(434\) | −11362.3 | − | 5789.39i | −1.25670 | − | 0.640321i | ||||
\(435\) | 1206.96 | + | 1858.56i | 0.133033 | + | 0.204853i | ||||
\(436\) | −2392.50 | + | 6232.66i | −0.262798 | + | 0.684611i | ||||
\(437\) | 775.047 | − | 4893.45i | 0.0848410 | − | 0.535665i | ||||
\(438\) | 8670.10 | + | 9629.12i | 0.945830 | + | 1.05045i | ||||
\(439\) | 1490.69 | + | 2581.95i | 0.162065 | + | 0.280705i | 0.935609 | − | 0.353037i | \(-0.114851\pi\) |
−0.773544 | + | 0.633743i | \(0.781518\pi\) | |||||||
\(440\) | −1192.03 | + | 1340.43i | −0.129154 | + | 0.145233i | ||||
\(441\) | − | 3564.90i | − | 0.384937i | ||||||
\(442\) | −5379.78 | + | 11039.5i | −0.578937 | + | 1.18800i | ||||
\(443\) | 3462.72 | − | 2515.82i | 0.371375 | − | 0.269819i | −0.386406 | − | 0.922329i | \(-0.626284\pi\) |
0.757781 | + | 0.652509i | \(0.226284\pi\) | |||||||
\(444\) | 753.606 | + | 930.626i | 0.0805508 | + | 0.0994720i | ||||
\(445\) | −465.647 | + | 517.153i | −0.0496040 | + | 0.0550908i | ||||
\(446\) | −11116.1 | − | 2362.80i | −1.18018 | − | 0.250856i | ||||
\(447\) | 912.441 | + | 5760.92i | 0.0965480 | + | 0.609580i | ||||
\(448\) | −6528.58 | + | 8062.12i | −0.688496 | + | 0.850222i | ||||
\(449\) | −584.765 | + | 11158.0i | −0.0614628 | + | 1.17278i | 0.777605 | + | 0.628753i | \(0.216434\pi\) |
−0.839068 | + | 0.544027i | \(0.816899\pi\) | |||||||
\(450\) | 7031.88 | − | 7031.88i | 0.736636 | − | 0.736636i | ||||
\(451\) | 2728.64 | + | 9937.71i | 0.284892 | + | 1.03758i | ||||
\(452\) | 14927.9 | − | 8618.63i | 1.55343 | − | 0.896873i | ||||
\(453\) | 3792.24 | − | 5839.53i | 0.393322 | − | 0.605663i | ||||
\(454\) | 2835.17 | + | 3902.27i | 0.293086 | + | 0.403398i | ||||
\(455\) | −1477.52 | − | 818.361i | −0.152236 | − | 0.0843195i | ||||
\(456\) | −426.139 | − | 1311.52i | −0.0437627 | − | 0.134688i | ||||
\(457\) | 12639.4 | − | 662.401i | 1.29375 | − | 0.0678026i | 0.607004 | − | 0.794699i | \(-0.292371\pi\) |
0.686747 | + | 0.726896i | \(0.259038\pi\) | |||||||
\(458\) | 20067.9 | + | 2109.22i | 2.04741 | + | 0.215191i | ||||
\(459\) | −795.723 | − | 7570.80i | −0.0809176 | − | 0.769880i | ||||
\(460\) | −2662.26 | − | 5224.97i | −0.269844 | − | 0.529599i | ||||
\(461\) | 2327.65 | − | 623.691i | 0.235161 | − | 0.0630113i | −0.139314 | − | 0.990248i | \(-0.544490\pi\) |
0.374475 | + | 0.927237i | \(0.377823\pi\) | |||||||
\(462\) | 5669.58 | − | 631.291i | 0.570936 | − | 0.0635721i | ||||
\(463\) | 13816.1 | + | 13816.1i | 1.38680 | + | 1.38680i | 0.831944 | + | 0.554859i | \(0.187228\pi\) |
0.554859 | + | 0.831944i | \(0.312772\pi\) | |||||||
\(464\) | −3796.58 | + | 3418.46i | −0.379853 | + | 0.342021i | ||||
\(465\) | −751.384 | + | 1687.64i | −0.0749346 | + | 0.168306i | ||||
\(466\) | 10060.7 | − | 8146.97i | 1.00011 | − | 0.809873i | ||||
\(467\) | 5482.81 | − | 1781.47i | 0.543286 | − | 0.176524i | −0.0245012 | − | 0.999700i | \(-0.507800\pi\) |
0.567787 | + | 0.823176i | \(0.307800\pi\) | |||||||
\(468\) | −10572.8 | − | 921.447i | −1.04429 | − | 0.0910126i | ||||
\(469\) | 5353.77 | − | 7368.83i | 0.527109 | − | 0.725503i | ||||
\(470\) | 344.252 | + | 896.807i | 0.0337855 | + | 0.0880141i | ||||
\(471\) | −4615.74 | + | 981.105i | −0.451554 | + | 0.0959807i | ||||
\(472\) | 6247.55 | − | 10821.1i | 0.609251 | − | 1.05525i | ||||
\(473\) | 7073.02 | − | 9862.58i | 0.687564 | − | 0.958736i | ||||
\(474\) | −2345.19 | − | 8752.37i | −0.227254 | − | 0.848122i | ||||
\(475\) | −3355.07 | − | 175.832i | −0.324087 | − | 0.0169847i | ||||
\(476\) | −8607.16 | − | 1363.24i | −0.828800 | − | 0.131269i | ||||
\(477\) | −12418.6 | + | 5529.13i | −1.19205 | + | 0.530737i | ||||
\(478\) | 13731.1 | + | 12363.6i | 1.31391 | + | 1.18305i | ||||
\(479\) | 900.435 | + | 17181.3i | 0.0858912 | + | 1.63890i | 0.613700 | + | 0.789539i | \(0.289680\pi\) |
−0.527809 | + | 0.849363i | \(0.676986\pi\) | |||||||
\(480\) | 1434.29 | + | 1042.07i | 0.136387 | + | 0.0990913i | ||||
\(481\) | −1434.18 | − | 895.512i | −0.135952 | − | 0.0848895i | ||||
\(482\) | 1173.44 | − | 3611.47i | 0.110889 | − | 0.341282i | ||||
\(483\) | −1563.98 | + | 5836.87i | −0.147337 | + | 0.549869i | ||||
\(484\) | 3464.94 | + | 15366.3i | 0.325407 | + | 1.44311i | ||||
\(485\) | −1707.56 | − | 985.861i | −0.159869 | − | 0.0923003i | ||||
\(486\) | 15573.8 | − | 7935.24i | 1.45358 | − | 0.740638i | ||||
\(487\) | −10361.6 | − | 8390.69i | −0.964129 | − | 0.780736i | 0.0115518 | − | 0.999933i | \(-0.496323\pi\) |
−0.975681 | + | 0.219197i | \(0.929656\pi\) | |||||||
\(488\) | −4717.74 | − | 1810.97i | −0.437627 | − | 0.167989i | ||||
\(489\) | −923.266 | + | 1812.01i | −0.0853815 | + | 0.167571i | ||||
\(490\) | −496.721 | + | 2336.89i | −0.0457950 | + | 0.215449i | ||||
\(491\) | 1340.30 | − | 12752.1i | 0.123191 | − | 1.17209i | −0.741913 | − | 0.670496i | \(-0.766081\pi\) |
0.865105 | − | 0.501592i | \(-0.167252\pi\) | |||||||
\(492\) | −8754.40 | + | 3360.50i | −0.802192 | + | 0.307933i | ||||
\(493\) | −15353.9 | − | 4988.78i | −1.40264 | − | 0.455747i | ||||
\(494\) | 3617.98 | + | 4797.90i | 0.329516 | + | 0.436979i | ||||
\(495\) | 326.589 | + | 1982.74i | 0.0296547 | + | 0.180035i | ||||
\(496\) | −4113.63 | − | 1102.25i | −0.372394 | − | 0.0997828i | ||||
\(497\) | 104.432 | + | 491.314i | 0.00942538 | + | 0.0443429i | ||||
\(498\) | 6987.28 | − | 734.393i | 0.628730 | − | 0.0660822i | ||||
\(499\) | 277.626 | − | 43.9716i | 0.0249063 | − | 0.00394477i | −0.143969 | − | 0.989582i | \(-0.545987\pi\) |
0.168875 | + | 0.985637i | \(0.445987\pi\) | |||||||
\(500\) | −6906.84 | + | 4485.36i | −0.617767 | + | 0.401183i | ||||
\(501\) | 2220.70 | − | 1442.14i | 0.198031 | − | 0.128603i | ||||
\(502\) | 2527.35 | − | 400.293i | 0.224704 | − | 0.0355895i | ||||
\(503\) | 2908.98 | − | 305.746i | 0.257863 | − | 0.0271025i | 0.0252850 | − | 0.999680i | \(-0.491951\pi\) |
0.232578 | + | 0.972578i | \(0.425284\pi\) | |||||||
\(504\) | −850.312 | − | 4000.40i | −0.0751506 | − | 0.353556i | ||||
\(505\) | −1109.09 | − | 297.181i | −0.0977307 | − | 0.0261869i | ||||
\(506\) | −27647.2 | − | 4204.17i | −2.42899 | − | 0.369364i | ||||
\(507\) | −5978.56 | + | 1494.86i | −0.523702 | + | 0.130945i | ||||
\(508\) | −18780.5 | − | 6102.15i | −1.64025 | − | 0.532951i | ||||
\(509\) | 6473.35 | − | 2484.89i | 0.563706 | − | 0.216386i | −0.0597929 | − | 0.998211i | \(-0.519044\pi\) |
0.623499 | + | 0.781824i | \(0.285711\pi\) | |||||||
\(510\) | −221.159 | + | 2104.19i | −0.0192022 | + | 0.182696i | ||||
\(511\) | 2699.19 | − | 12698.7i | 0.233669 | − | 1.09933i | ||||
\(512\) | −3010.24 | + | 5907.93i | −0.259834 | + | 0.509953i | ||||
\(513\) | −3477.53 | − | 1334.90i | −0.299292 | − | 0.114887i | ||||
\(514\) | −2116.14 | − | 1713.61i | −0.181593 | − | 0.147051i | ||||
\(515\) | −1557.50 | + | 793.585i | −0.133265 | + | 0.0679020i | ||||
\(516\) | 9563.88 | + | 5521.71i | 0.815943 | + | 0.471085i | ||||
\(517\) | 2644.51 | + | 691.133i | 0.224962 | + | 0.0587930i | ||||
\(518\) | 520.448 | − | 1942.34i | 0.0441451 | − | 0.164752i | ||||
\(519\) | 3595.68 | − | 11066.4i | 0.304110 | − | 0.935953i | ||||
\(520\) | 2204.14 | + | 673.068i | 0.185880 | + | 0.0567615i | ||||
\(521\) | 16629.2 | + | 12081.8i | 1.39835 | + | 1.01596i | 0.994890 | + | 0.100961i | \(0.0321918\pi\) |
0.403458 | + | 0.914998i | \(0.367808\pi\) | |||||||
\(522\) | −1223.75 | − | 23350.5i | −0.102609 | − | 1.95790i | ||||
\(523\) | −2782.63 | − | 2505.49i | −0.232650 | − | 0.209479i | 0.544557 | − | 0.838724i | \(-0.316698\pi\) |
−0.777207 | + | 0.629245i | \(0.783364\pi\) | |||||||
\(524\) | −24295.2 | + | 10816.9i | −2.02546 | + | 0.901792i | ||||
\(525\) | 4047.23 | + | 641.019i | 0.336449 | + | 0.0532883i | ||||
\(526\) | −7555.95 | − | 395.991i | −0.626341 | − | 0.0328251i | ||||
\(527\) | −3483.14 | − | 12999.3i | −0.287909 | − | 1.07449i | ||||
\(528\) | 1808.21 | − | 599.884i | 0.149038 | − | 0.0494443i | ||||
\(529\) | 8727.86 | − | 15117.1i | 0.717339 | − | 1.24247i | ||||
\(530\) | 8911.15 | − | 1894.12i | 0.730332 | − | 0.155237i | ||||
\(531\) | −5016.21 | − | 13067.7i | −0.409953 | − | 1.06796i | ||||
\(532\) | −2506.40 | + | 3449.76i | −0.204260 | + | 0.281140i | ||||
\(533\) | 10139.8 | − | 8514.03i | 0.824019 | − | 0.691902i | ||||
\(534\) | −2871.90 | + | 933.136i | −0.232733 | + | 0.0756194i | ||||
\(535\) | 366.747 | − | 296.986i | 0.0296371 | − | 0.0239997i | ||||
\(536\) | −5054.94 | + | 11353.6i | −0.407351 | + | 0.914926i | ||||
\(537\) | −8412.43 | + | 7574.58i | −0.676020 | + | 0.608692i | ||||
\(538\) | −24212.8 | − | 24212.8i | −1.94031 | − | 1.94031i | ||||
\(539\) | 4579.80 | + | 5023.70i | 0.365985 | + | 0.401458i | ||||
\(540\) | −4258.63 | + | 1141.10i | −0.339375 | + | 0.0909352i | ||||
\(541\) | 4115.65 | + | 8077.42i | 0.327071 | + | 0.641914i | 0.994727 | − | 0.102556i | \(-0.0327022\pi\) |
−0.667656 | + | 0.744470i | \(0.732702\pi\) | |||||||
\(542\) | −1215.95 | − | 11569.0i | −0.0963648 | − | 0.916850i | ||||
\(543\) | −8261.34 | − | 868.301i | −0.652906 | − | 0.0686232i | ||||
\(544\) | −12897.6 | + | 675.934i | −1.01651 | + | 0.0532729i | ||||
\(545\) | −501.852 | − | 1544.54i | −0.0394440 | − | 0.121396i | ||||
\(546\) | −3776.87 | − | 6281.03i | −0.296035 | − | 0.492314i | ||||
\(547\) | −3697.20 | − | 5088.76i | −0.288996 | − | 0.397769i | 0.639692 | − | 0.768632i | \(-0.279062\pi\) |
−0.928688 | + | 0.370863i | \(0.879062\pi\) | |||||||
\(548\) | −1690.74 | + | 2603.51i | −0.131797 | + | 0.202949i | ||||
\(549\) | −4902.52 | + | 2830.47i | −0.381119 | + | 0.220039i | ||||
\(550\) | −875.596 | + | 18943.2i | −0.0678828 | + | 1.46862i | ||||
\(551\) | −5585.84 | + | 5585.84i | −0.431878 | + | 0.431878i | ||||
\(552\) | 431.518 | − | 8233.85i | 0.0332729 | − | 0.634884i | ||||
\(553\) | −5713.40 | + | 7055.46i | −0.439346 | + | 0.542548i | ||||
\(554\) | −3385.10 | − | 21372.7i | −0.259601 | − | 1.63906i | ||||
\(555\) | −284.937 | − | 60.5652i | −0.0217926 | − | 0.00463216i | ||||
\(556\) | 10373.2 | − | 11520.6i | 0.791228 | − | 0.878748i | ||||
\(557\) | −10184.4 | − | 12576.7i | −0.774737 | − | 0.956721i | 0.225108 | − | 0.974334i | \(-0.427727\pi\) |
−0.999845 | + | 0.0176130i | \(0.994393\pi\) | |||||||
\(558\) | 15769.3 | − | 11457.1i | 1.19636 | − | 0.869205i | ||||
\(559\) | −15307.3 | − | 2970.15i | −1.15819 | − | 0.224729i | ||||
\(560\) | − | 670.840i | − | 0.0506217i | ||||||
\(561\) | 4498.70 | + | 4000.66i | 0.338565 | + | 0.301083i | ||||
\(562\) | −14404.6 | − | 24949.6i | −1.08118 | − | 1.87266i | ||||
\(563\) | 14923.8 | + | 16574.6i | 1.11716 | + | 1.24074i | 0.967737 | + | 0.251964i | \(0.0810763\pi\) |
0.149427 | + | 0.988773i | \(0.452257\pi\) | |||||||
\(564\) | −389.071 | + | 2456.50i | −0.0290476 | + | 0.183400i | ||||
\(565\) | −1502.69 | + | 3914.64i | −0.111891 | + | 0.291487i | ||||
\(566\) | 11464.2 | + | 17653.3i | 0.851372 | + | 1.31100i | ||||
\(567\) | −1712.92 | − | 872.778i | −0.126871 | − | 0.0646441i | ||||
\(568\) | −278.760 | − | 626.105i | −0.0205924 | − | 0.0462514i | ||||
\(569\) | −5556.96 | − | 2474.12i | −0.409419 | − | 0.182285i | 0.191684 | − | 0.981457i | \(-0.438605\pi\) |
−0.601103 | + | 0.799171i | \(0.705272\pi\) | |||||||
\(570\) | 868.268 | + | 563.860i | 0.0638030 | + | 0.0414342i | ||||
\(571\) | −5823.86 | −0.426832 | −0.213416 | − | 0.976961i | \(-0.568459\pi\) | ||||
−0.213416 | + | 0.976961i | \(0.568459\pi\) | |||||||
\(572\) | 16083.1 | − | 12284.3i | 1.17564 | − | 0.897957i | ||||
\(573\) | −1410.07 | −0.102804 | ||||||||
\(574\) | 13206.1 | + | 8576.14i | 0.960299 | + | 0.623626i | ||||
\(575\) | −18350.9 | − | 8170.35i | −1.33093 | − | 0.592569i | ||||
\(576\) | −6449.54 | − | 14485.9i | −0.466547 | − | 1.04788i | ||||
\(577\) | 2959.00 | + | 1507.69i | 0.213492 | + | 0.108779i | 0.557467 | − | 0.830199i | \(-0.311773\pi\) |
−0.343975 | + | 0.938979i | \(0.611773\pi\) | |||||||
\(578\) | 3522.36 | + | 5423.95i | 0.253479 | + | 0.390323i | ||||
\(579\) | 4348.73 | − | 11328.8i | 0.312137 | − | 0.813143i | ||||
\(580\) | −1462.66 | + | 9234.87i | −0.104713 | + | 0.661133i | ||||
\(581\) | −4710.27 | − | 5231.28i | −0.336342 | − | 0.373546i | ||||
\(582\) | −4277.92 | − | 7409.57i | −0.304683 | − | 0.527726i | ||||
\(583\) | 10397.2 | − | 23745.8i | 0.738610 | − | 1.68688i | ||||
\(584\) | 17714.0i | 1.25516i | ||||||||
\(585\) | 2139.84 | − | 1444.38i | 0.151233 | − | 0.102081i | ||||
\(586\) | −29633.5 | + | 21530.0i | −2.08899 | + | 1.51774i | ||||
\(587\) | 13434.6 | + | 16590.4i | 0.944645 | + | 1.16654i | 0.985891 | + | 0.167390i | \(0.0535340\pi\) |
−0.0412457 | + | 0.999149i | \(0.513133\pi\) | |||||||
\(588\) | −4138.99 | + | 4596.81i | −0.290287 | + | 0.322397i | ||||
\(589\) | −6441.26 | − | 1369.13i | −0.450607 | − | 0.0957794i | ||||
\(590\) | 1467.46 | + | 9265.15i | 0.102397 | + | 0.646509i | ||||
\(591\) | −1116.68 | + | 1378.99i | −0.0777227 | + | 0.0959796i | ||||
\(592\) | 35.1461 | − | 670.628i | 0.00244003 | − | 0.0465585i | ||||
\(593\) | 1894.71 | − | 1894.71i | 0.131208 | − | 0.131208i | −0.638453 | − | 0.769661i | \(-0.720425\pi\) |
0.769661 | + | 0.638453i | \(0.220425\pi\) | |||||||
\(594\) | −7413.47 | + | 19674.8i | −0.512085 | + | 1.35903i | ||||
\(595\) | 1835.87 | − | 1059.94i | 0.126493 | − | 0.0730308i | ||||
\(596\) | −13403.1 | + | 20639.0i | −0.921163 | + | 1.41847i | ||||
\(597\) | −409.014 | − | 562.960i | −0.0280399 | − | 0.0385937i | ||||
\(598\) | 9914.80 | + | 34533.5i | 0.678004 | + | 2.36151i | ||||
\(599\) | −319.467 | − | 983.218i | −0.0217914 | − | 0.0670671i | 0.939569 | − | 0.342358i | \(-0.111226\pi\) |
−0.961361 | + | 0.275291i | \(0.911226\pi\) | |||||||
\(600\) | −5583.48 | + | 292.618i | −0.379908 | + | 0.0199101i | ||||
\(601\) | 17339.8 | + | 1822.48i | 1.17688 | + | 0.123695i | 0.672707 | − | 0.739909i | \(-0.265132\pi\) |
0.504171 | + | 0.863604i | \(0.331798\pi\) | |||||||
\(602\) | −1938.41 | − | 18442.8i | −0.131236 | − | 1.24862i | ||||
\(603\) | 6320.58 | + | 12404.8i | 0.426855 | + | 0.837751i | ||||
\(604\) | 28376.3 | − | 7603.40i | 1.91161 | − | 0.512215i | ||||
\(605\) | −3007.44 | − | 2374.53i | −0.202099 | − | 0.159568i | ||||
\(606\) | −3523.11 | − | 3523.11i | −0.236166 | − | 0.236166i | ||||
\(607\) | 17524.0 | − | 15778.7i | 1.17179 | − | 1.05509i | 0.174272 | − | 0.984698i | \(-0.444243\pi\) |
0.997520 | − | 0.0703883i | \(-0.0224238\pi\) | |||||||
\(608\) | −2570.45 | + | 5773.33i | −0.171457 | + | 0.385098i | ||||
\(609\) | 7487.67 | − | 6063.39i | 0.498219 | − | 0.403450i | ||||
\(610\) | 3608.12 | − | 1172.35i | 0.239490 | − | 0.0778149i | ||||
\(611\) | −610.954 | − | 3458.15i | −0.0404526 | − | 0.228972i | ||||
\(612\) | 7829.39 | − | 10776.2i | 0.517131 | − | 0.711770i | ||||
\(613\) | −8748.02 | − | 22789.4i | −0.576393 | − | 1.50156i | −0.843088 | − | 0.537775i | \(-0.819265\pi\) |
0.266695 | − | 0.963781i | \(-0.414068\pi\) | |||||||
\(614\) | 25290.2 | − | 5375.60i | 1.66226 | − | 0.353325i | ||||
\(615\) | 1140.55 | − | 1975.50i | 0.0747831 | − | 0.129528i | ||||
\(616\) | 6337.56 | + | 4545.02i | 0.414525 | + | 0.297279i | ||||
\(617\) | 3378.77 | + | 12609.7i | 0.220461 | + | 0.822770i | 0.984173 | + | 0.177213i | \(0.0567082\pi\) |
−0.763712 | + | 0.645557i | \(0.776625\pi\) | |||||||
\(618\) | −7574.75 | − | 396.976i | −0.493044 | − | 0.0258393i | ||||
\(619\) | 24996.0 | + | 3958.97i | 1.62306 | + | 0.257067i | 0.900696 | − | 0.434449i | \(-0.143057\pi\) |
0.722361 | + | 0.691516i | \(0.243057\pi\) | |||||||
\(620\) | −7120.39 | + | 3170.20i | −0.461229 | + | 0.205352i | ||||
\(621\) | −16550.9 | − | 14902.5i | −1.06951 | − | 0.962991i | ||||
\(622\) | 873.104 | + | 16659.8i | 0.0562834 | + | 1.07395i | ||||
\(623\) | 2447.72 | + | 1778.37i | 0.157409 | + | 0.114364i | ||||
\(624\) | −1669.89 | − | 1789.54i | −0.107130 | − | 0.114806i | ||||
\(625\) | −3889.17 | + | 11969.6i | −0.248907 | + | 0.766056i | ||||
\(626\) | 53.5075 | − | 199.693i | 0.00341628 | − | 0.0127497i | ||||
\(627\) | 2743.60 | − | 1072.64i | 0.174751 | − | 0.0683207i | ||||
\(628\) | −17242.2 | − | 9954.77i | −1.09560 | − | 0.632546i | ||||
\(629\) | 1890.82 | − | 963.422i | 0.119860 | − | 0.0610718i | ||||
\(630\) | 2386.13 | + | 1932.25i | 0.150898 | + | 0.122195i | ||||
\(631\) | −17302.8 | − | 6641.92i | −1.09162 | − | 0.419034i | −0.255070 | − | 0.966923i | \(-0.582098\pi\) |
−0.836551 | + | 0.547888i | \(0.815432\pi\) | |||||||
\(632\) | 5623.83 | − | 11037.4i | 0.353962 | − | 0.694690i | ||||
\(633\) | −64.0681 | + | 301.417i | −0.00402287 | + | 0.0189261i | ||||
\(634\) | −1771.19 | + | 16851.8i | −0.110951 | + | 1.05563i | ||||
\(635\) | 4484.60 | − | 1721.48i | 0.280261 | − | 0.107582i | ||||
\(636\) | 22432.9 | + | 7288.89i | 1.39862 | + | 0.454439i | ||||
\(637\) | 3409.89 | − | 8040.66i | 0.212096 | − | 0.500129i | ||||
\(638\) | 31722.8 | + | 31333.7i | 1.96852 | + | 1.94438i | ||||
\(639\) | −741.596 | − | 198.710i | −0.0459109 | − | 0.0123018i | ||||
\(640\) | 1158.17 | + | 5448.74i | 0.0715321 | + | 0.336532i | ||||
\(641\) | 6110.41 | − | 642.230i | 0.376516 | − | 0.0395734i | 0.0856193 | − | 0.996328i | \(-0.472713\pi\) |
0.290897 | + | 0.956755i | \(0.406046\pi\) | |||||||
\(642\) | 2022.56 | − | 320.342i | 0.124336 | − | 0.0196930i | ||||
\(643\) | 22031.9 | − | 14307.7i | 1.35125 | − | 0.877510i | 0.352938 | − | 0.935647i | \(-0.385183\pi\) |
0.998309 | + | 0.0581372i | \(0.0185161\pi\) | |||||||
\(644\) | −21382.2 | + | 13885.8i | −1.30835 | + | 0.849652i | ||||
\(645\) | −2653.35 | + | 420.250i | −0.161978 | + | 0.0256548i | ||||
\(646\) | −7500.71 | + | 788.356i | −0.456829 | + | 0.0480147i | ||||
\(647\) | 4146.71 | + | 19508.7i | 0.251969 | + | 1.18542i | 0.904102 | + | 0.427316i | \(0.140541\pi\) |
−0.652133 | + | 0.758104i | \(0.726126\pi\) | |||||||
\(648\) | 2533.75 | + | 678.915i | 0.153603 | + | 0.0411579i | ||||
\(649\) | 23856.8 | + | 11970.8i | 1.44293 | + | 0.724030i | ||||
\(650\) | 22586.6 | − | 9134.33i | 1.36295 | − | 0.551197i | ||||
\(651\) | 7638.59 | + | 2481.93i | 0.459877 | + | 0.149423i | ||||
\(652\) | −8010.45 | + | 3074.92i | −0.481155 | + | 0.184698i | ||||
\(653\) | 747.302 | − | 7110.10i | 0.0447844 | − | 0.426095i | −0.949042 | − | 0.315149i | \(-0.897945\pi\) |
0.993826 | − | 0.110946i | \(-0.0353879\pi\) | |||||||
\(654\) | 1465.18 | − | 6893.11i | 0.0876038 | − | 0.412143i | ||||
\(655\) | 2937.03 | − | 5764.25i | 0.175205 | − | 0.343859i | ||||
\(656\) | 4909.43 | + | 1884.55i | 0.292197 | + | 0.112164i | ||||
\(657\) | 15421.5 | + | 12488.1i | 0.915752 | + | 0.741562i | ||||
\(658\) | 3721.23 | − | 1896.06i | 0.220469 | − | 0.112335i | ||||
\(659\) | 2213.69 | + | 1278.07i | 0.130854 | + | 0.0755489i | 0.563998 | − | 0.825776i | \(-0.309262\pi\) |
−0.433144 | + | 0.901325i | \(0.642596\pi\) | |||||||
\(660\) | 1880.91 | − | 2935.85i | 0.110931 | − | 0.173148i | ||||
\(661\) | −2188.80 | + | 8168.70i | −0.128796 | + | 0.480674i | −0.999947 | − | 0.0103425i | \(-0.996708\pi\) |
0.871150 | + | 0.491016i | \(0.163374\pi\) | |||||||
\(662\) | −4441.52 | + | 13669.6i | −0.260762 | + | 0.802543i | ||||
\(663\) | 2258.93 | − | 7397.44i | 0.132322 | − | 0.433323i | ||||
\(664\) | 7770.61 | + | 5645.68i | 0.454154 | + | 0.329962i | ||||
\(665\) | −54.2880 | − | 1035.88i | −0.00316571 | − | 0.0604053i | ||||
\(666\) | 2284.15 | + | 2056.65i | 0.132896 | + | 0.119660i | ||||
\(667\) | −43148.2 | + | 19210.8i | −2.50481 | + | 1.11521i | ||||
\(668\) | 11034.2 | + | 1747.65i | 0.639113 | + | 0.101226i | ||||
\(669\) | 7147.81 | + | 374.601i | 0.413080 | + | 0.0216486i | ||||
\(670\) | −2414.86 | − | 9012.39i | −0.139245 | − | 0.519670i | ||||
\(671\) | 3272.40 | − | 10287.0i | 0.188271 | − | 0.591839i | ||||
\(672\) | 3853.96 | − | 6675.25i | 0.221235 | − | 0.383189i | ||||
\(673\) | −12227.5 | + | 2599.04i | −0.700350 | + | 0.148864i | −0.544307 | − | 0.838886i | \(-0.683207\pi\) |
−0.156043 | + | 0.987750i | \(0.549874\pi\) | |||||||
\(674\) | −5729.22 | − | 14925.1i | −0.327420 | − | 0.852959i | ||||
\(675\) | −8877.06 | + | 12218.2i | −0.506190 | + | 0.696711i | ||||
\(676\) | −22965.6 | − | 12191.4i | −1.30665 | − | 0.693639i | ||||
\(677\) | 11768.7 | − | 3823.88i | 0.668106 | − | 0.217081i | 0.0447256 | − | 0.998999i | \(-0.485759\pi\) |
0.623381 | + | 0.781918i | \(0.285759\pi\) | |||||||
\(678\) | −14140.3 | + | 11450.6i | −0.800968 | + | 0.648611i | ||||
\(679\) | −3486.72 | + | 7831.30i | −0.197066 | + | 0.442618i | ||||
\(680\) | −2149.55 | + | 1935.46i | −0.121223 | + | 0.109149i | ||||
\(681\) | −2148.16 | − | 2148.16i | −0.120878 | − | 0.120878i | ||||
\(682\) | −7503.46 | + | 36404.2i | −0.421294 | + | 2.04397i | ||||
\(683\) | −8430.45 | + | 2258.93i | −0.472302 | + | 0.126553i | −0.487116 | − | 0.873337i | \(-0.661951\pi\) |
0.0148139 | + | 0.999890i | \(0.495284\pi\) | |||||||
\(684\) | −2959.02 | − | 5807.40i | −0.165411 | − | 0.324637i | ||||
\(685\) | −78.9357 | − | 751.023i | −0.00440289 | − | 0.0418907i | ||||
\(686\) | 29345.8 | + | 3084.37i | 1.63328 | + | 0.171664i | ||||
\(687\) | −12691.5 | + | 665.134i | −0.704820 | + | 0.0369381i | ||||
\(688\) | −1913.77 | − | 5889.99i | −0.106049 | − | 0.326386i | ||||
\(689\) | −33299.0 | + | 592.344i | −1.84121 | + | 0.0327525i | ||||
\(690\) | 3638.40 | + | 5007.83i | 0.200741 | + | 0.276297i | ||||
\(691\) | 10784.6 | − | 16606.8i | 0.593727 | − | 0.914259i | −0.406273 | − | 0.913752i | \(-0.633172\pi\) |
1.00000 | 0.000507626i | \(-0.000161582\pi\) | ||||||||
\(692\) | 42516.2 | − | 24546.7i | 2.33558 | − | 1.34845i | ||||
\(693\) | 8424.68 | − | 2313.20i | 0.461800 | − | 0.126798i | ||||
\(694\) | −7539.98 | + | 7539.98i | −0.412412 | + | 0.412412i | ||||
\(695\) | −197.367 | + | 3765.99i | −0.0107720 | + | 0.205543i | ||||
\(696\) | −8273.29 | + | 10216.7i | −0.450572 | + | 0.556410i | ||||
\(697\) | 2599.59 | + | 16413.1i | 0.141272 | + | 0.891954i | ||||
\(698\) | 21893.3 | + | 4653.56i | 1.18721 | + | 0.252349i | ||||
\(699\) | −5455.77 | + | 6059.25i | −0.295216 | + | 0.327871i | ||||
\(700\) | 10880.2 | + | 13435.9i | 0.587473 | + | 0.725469i | ||||
\(701\) | −18441.3 | + | 13398.4i | −0.993607 | + | 0.721898i | −0.960708 | − | 0.277561i | \(-0.910474\pi\) |
−0.0328992 | + | 0.999459i | \(0.510474\pi\) | |||||||
\(702\) | 26946.1 | − | 1893.28i | 1.44874 | − | 0.101791i | ||||
\(703\) | − | 1038.39i | − | 0.0557094i | ||||||
\(704\) | 27698.7 | + | 12128.0i | 1.48286 | + | 0.649279i | ||||
\(705\) | −302.509 | − | 523.961i | −0.0161605 | − | 0.0279908i | ||||
\(706\) | −2299.18 | − | 2553.50i | −0.122565 | − | 0.136122i | ||||
\(707\) | −780.935 | + | 4930.63i | −0.0415419 | + | 0.262285i | ||||
\(708\) | −8703.84 | + | 22674.3i | −0.462020 | + | 1.20360i | ||||
\(709\) | −7726.75 | − | 11898.1i | −0.409286 | − | 0.630246i | 0.572574 | − | 0.819853i | \(-0.305945\pi\) |
−0.981860 | + | 0.189608i | \(0.939278\pi\) | |||||||
\(710\) | 458.449 | + | 233.591i | 0.0242328 | + | 0.0123472i | ||||
\(711\) | −5644.24 | − | 12677.2i | −0.297715 | − | 0.668679i | ||||
\(712\) | −3771.35 | − | 1679.11i | −0.198507 | − | 0.0883811i | ||||
\(713\) | −33020.8 | − | 21443.9i | −1.73441 | − | 1.12634i | ||||
\(714\) | 9198.75 | 0.482149 | ||||||||
\(715\) | −1159.90 | + | 4784.47i | −0.0606684 | + | 0.250250i | ||||
\(716\) | −47760.9 | −2.49289 | ||||||||
\(717\) | −9759.91 | − | 6338.16i | −0.508355 | − | 0.330130i | ||||
\(718\) | −37182.7 | − | 16554.8i | −1.93266 | − | 0.860473i | ||||
\(719\) | 12916.3 | + | 29010.4i | 0.669953 | + | 1.50474i | 0.853152 | + | 0.521663i | \(0.174688\pi\) |
−0.183199 | + | 0.983076i | \(0.558645\pi\) | |||||||
\(720\) | 913.628 | + | 465.517i | 0.0472901 | + | 0.0240955i | ||||
\(721\) | 4139.17 | + | 6373.77i | 0.213802 | + | 0.329226i | ||||
\(722\) | 9624.67 | − | 25073.1i | 0.496112 | − | 1.29242i | ||||
\(723\) | −374.138 | + | 2362.21i | −0.0192453 | + | 0.121510i | ||||
\(724\) | −23451.6 | − | 26045.6i | −1.20383 | − | 1.33698i | ||||
\(725\) | 16014.2 | + | 27737.4i | 0.820347 | + | 1.42088i | ||||
\(726\) | −6149.87 | − | 15448.4i | −0.314384 | − | 0.789728i | ||||
\(727\) | − | 9444.33i | − | 0.481803i | −0.970550 | − | 0.240902i | \(-0.922557\pi\) | ||
0.970550 | − | 0.240902i | \(-0.0774431\pi\) | |||||||
\(728\) | 1908.57 | − | 9836.27i | 0.0971655 | − | 0.500764i | ||||
\(729\) | −5551.22 | + | 4033.20i | −0.282031 | + | 0.204908i | ||||
\(730\) | −8369.15 | − | 10335.0i | −0.424324 | − | 0.523996i | ||||
\(731\) | 13095.2 | − | 14543.7i | 0.662576 | − | 0.735865i | ||||
\(732\) | 9607.91 | + | 2042.22i | 0.485135 | + | 0.103119i | ||||
\(733\) | 5647.45 | + | 35656.6i | 0.284575 | + | 1.79674i | 0.552731 | + | 0.833360i | \(0.313586\pi\) |
−0.268156 | + | 0.963375i | \(0.586414\pi\) | |||||||
\(734\) | −8564.39 | + | 10576.1i | −0.430678 | + | 0.531843i | ||||
\(735\) | 78.7508 | − | 1502.65i | 0.00395206 | − | 0.0754098i | ||||
\(736\) | −26718.4 | + | 26718.4i | −1.33812 | + | 1.33812i | ||||
\(737\) | −24843.4 | − | 9361.02i | −1.24168 | − | 0.467867i | ||||
\(738\) | −20844.1 | + | 12034.3i | −1.03968 | + | 0.600258i | ||||
\(739\) | 14661.7 | − | 22577.0i | 0.729822 | − | 1.12383i | −0.257681 | − | 0.966230i | \(-0.582958\pi\) |
0.987503 | − | 0.157598i | \(-0.0503749\pi\) | |||||||
\(740\) | −722.416 | − | 994.321i | −0.0358872 | − | 0.0493945i | ||||
\(741\) | −2723.37 | − | 2628.17i | −0.135014 | − | 0.130295i | ||||
\(742\) | −12239.7 | − | 37669.9i | −0.605570 | − | 1.86375i | ||||
\(743\) | −3174.80 | + | 166.384i | −0.156759 | + | 0.00821540i | −0.130554 | − | 0.991441i | \(-0.541676\pi\) |
−0.0262051 | + | 0.999657i | \(0.508342\pi\) | |||||||
\(744\) | −10898.9 | − | 1145.52i | −0.537062 | − | 0.0564475i | ||||
\(745\) | −625.753 | − | 5953.65i | −0.0307729 | − | 0.292785i | ||||
\(746\) | −19943.4 | − | 39141.1i | −0.978794 | − | 1.92099i | ||||
\(747\) | 10393.2 | − | 2784.84i | 0.509058 | − | 0.136402i | ||||
\(748\) | 2810.89 | + | 25244.4i | 0.137401 | + | 1.23399i | ||||
\(749\) | −1450.80 | − | 1450.80i | −0.0707758 | − | 0.0707758i | ||||
\(750\) | 6460.27 | − | 5816.85i | 0.314527 | − | 0.283202i | ||||
\(751\) | −7698.23 | + | 17290.5i | −0.374051 | + | 0.840133i | 0.624214 | + | 0.781253i | \(0.285419\pi\) |
−0.998265 | + | 0.0588792i | \(0.981247\pi\) | |||||||
\(752\) | 1083.94 | − | 877.756i | 0.0525627 | − | 0.0425644i | ||||
\(753\) | −1532.76 | + | 498.023i | −0.0741789 | + | 0.0241022i | ||||
\(754\) | 19575.0 | − | 53837.8i | 0.945465 | − | 2.60034i | ||||
\(755\) | −4200.51 | + | 5781.50i | −0.202480 | + | 0.278689i | ||||
\(756\) | 6869.32 | + | 17895.2i | 0.330469 | + | 0.860902i | ||||
\(757\) | 6913.16 | − | 1469.44i | 0.331919 | − | 0.0705517i | −0.0389375 | − | 0.999242i | \(-0.512397\pi\) |
0.370857 | + | 0.928690i | \(0.379064\pi\) | |||||||
\(758\) | −10044.6 | + | 17397.7i | −0.481314 | + | 0.833660i | ||||
\(759\) | 17612.8 | − | 108.683i | 0.842297 | − | 0.00519757i | ||||
\(760\) | 366.321 | + | 1367.13i | 0.0174840 | + | 0.0652513i | ||||
\(761\) | −22504.3 | − | 1179.40i | −1.07199 | − | 0.0561804i | −0.491834 | − | 0.870689i | \(-0.663673\pi\) |
−0.580151 | + | 0.814509i | \(0.697007\pi\) | |||||||
\(762\) | 20587.7 | + | 3260.78i | 0.978760 | + | 0.155020i | ||||
\(763\) | −6450.33 | + | 2871.87i | −0.306052 | + | 0.136263i | ||||
\(764\) | −4421.18 | − | 3980.85i | −0.209362 | − | 0.188511i | ||||
\(765\) | 169.583 | + | 3235.83i | 0.00801473 | + | 0.152930i | ||||
\(766\) | 27339.6 | + | 19863.4i | 1.28958 | + | 0.936935i | ||||
\(767\) | 1185.37 | − | 34272.3i | 0.0558036 | − | 1.61343i | ||||
\(768\) | −1722.19 | + | 5300.36i | −0.0809169 | + | 0.249037i | ||||
\(769\) | −1746.16 | + | 6516.76i | −0.0818831 | + | 0.305592i | −0.994706 | − | 0.102764i | \(-0.967231\pi\) |
0.912823 | + | 0.408356i | \(0.133898\pi\) | |||||||
\(770\) | −5844.92 | + | 342.497i | −0.273554 | + | 0.0160295i | ||||
\(771\) | 1485.23 | + | 857.497i | 0.0693764 | + | 0.0400545i | ||||
\(772\) | 45618.3 | − | 23243.7i | 2.12673 | − | 1.08362i | ||||
\(773\) | 366.914 | + | 297.121i | 0.0170724 | + | 0.0138250i | 0.637819 | − | 0.770187i | \(-0.279837\pi\) |
−0.620746 | + | 0.784012i | \(0.713170\pi\) | |||||||
\(774\) | 26462.6 | + | 10158.1i | 1.22891 | + | 0.471736i | ||||
\(775\) | −12121.2 | + | 23789.1i | −0.561813 | + | 1.10262i | ||||
\(776\) | 2431.90 | − | 11441.2i | 0.112500 | − | 0.529271i | ||||
\(777\) | −132.384 | + | 1259.55i | −0.00611231 | + | 0.0581547i | ||||
\(778\) | −30450.9 | + | 11689.0i | −1.40324 | + | 0.538653i | ||||
\(779\) | 7733.39 | + | 2512.73i | 0.355683 | + | 0.115569i | ||||
\(780\) | −4436.22 | − | 621.962i | −0.203644 | − | 0.0285510i | ||||
\(781\) | 1300.35 | − | 672.699i | 0.0595776 | − | 0.0308208i | ||||
\(782\) | −43557.3 | − | 11671.2i | −1.99182 | − | 0.533708i | ||||
\(783\) | 7383.04 | + | 34734.5i | 0.336971 | + | 1.58532i | ||||
\(784\) | 3449.87 | − | 362.596i | 0.157155 | − | 0.0165177i | ||||
\(785\) | 4783.58 | − | 757.644i | 0.217495 | − | 0.0344478i | ||||
\(786\) | 23543.4 | − | 15289.3i | 1.06841 | − | 0.693831i | ||||
\(787\) | −1123.87 | + | 729.848i | −0.0509041 | + | 0.0330575i | −0.569840 | − | 0.821756i | \(-0.692995\pi\) |
0.518936 | + | 0.854813i | \(0.326328\pi\) | |||||||
\(788\) | −7394.39 | + | 1171.16i | −0.334282 | + | 0.0529451i | ||||
\(789\) | 4739.37 | − | 498.127i | 0.213848 | − | 0.0224763i | ||||
\(790\) | 1933.56 | + | 9096.68i | 0.0870796 | + | 0.409677i | ||||
\(791\) | 17609.3 | + | 4718.40i | 0.791548 | + | 0.212095i | ||||
\(792\) | −10587.8 | + | 5477.29i | −0.475025 | + | 0.245741i | ||||
\(793\) | −13765.1 | + | 1694.80i | −0.616409 | + | 0.0758941i | ||||
\(794\) | −32000.7 | − | 10397.7i | −1.43031 | − | 0.464734i | ||||
\(795\) | −5356.76 | + | 2056.27i | −0.238975 | + | 0.0917337i | ||||
\(796\) | 306.888 | − | 2919.84i | 0.0136650 | − | 0.130014i | ||||
\(797\) | 6272.91 | − | 29511.7i | 0.278793 | − | 1.31162i | −0.586336 | − | 0.810068i | \(-0.699430\pi\) |
0.865129 | − | 0.501549i | \(-0.167236\pi\) | |||||||
\(798\) | 2043.46 | − | 4010.53i | 0.0906490 | − | 0.177909i | ||||
\(799\) | 4114.78 | + | 1579.51i | 0.182191 | + | 0.0699364i | ||||
\(800\) | 19912.7 | + | 16125.0i | 0.880025 | + | 0.712631i | ||||
\(801\) | −4120.54 | + | 2099.52i | −0.181763 | + | 0.0926128i | ||||
\(802\) | −11649.5 | − | 6725.87i | −0.512917 | − | 0.296133i | ||||
\(803\) | −37775.5 | + | 2213.55i | −1.66011 | + | 0.0972781i | ||||
\(804\) | 6252.33 | − | 23334.0i | 0.274257 | − | 1.02354i | ||||
\(805\) | 1916.53 | − | 5898.47i | 0.0839115 | − | 0.258253i | ||||
\(806\) | 46526.7 | − | 10757.9i | 2.03329 | − | 0.470136i | ||||
\(807\) | 17447.7 | + | 12676.5i | 0.761076 | + | 0.552954i | ||||
\(808\) | −356.488 | − | 6802.20i | −0.0155213 | − | 0.296164i | ||||
\(809\) | 19583.2 | + | 17632.8i | 0.851061 | + | 0.766298i | 0.974103 | − | 0.226103i | \(-0.0725986\pi\) |
−0.123043 | + | 0.992401i | \(0.539265\pi\) | |||||||
\(810\) | −1799.05 | + | 800.987i | −0.0780396 | + | 0.0347455i | ||||
\(811\) | −19511.6 | − | 3090.33i | −0.844815 | − | 0.133805i | −0.281001 | − | 0.959708i | \(-0.590666\pi\) |
−0.563814 | + | 0.825902i | \(0.690666\pi\) | |||||||
\(812\) | 40595.1 | + | 2127.50i | 1.75444 | + | 0.0919465i | ||||
\(813\) | 1896.27 | + | 7076.97i | 0.0818021 | + | 0.305289i | ||||
\(814\) | −5861.01 | + | 36.1666i | −0.252369 | + | 0.00155730i | ||||
\(815\) | 1043.63 | − | 1807.62i | 0.0448549 | − | 0.0776910i | ||||
\(816\) | 3004.90 | − | 638.710i | 0.128912 | − | 0.0274011i | ||||
\(817\) | −3431.80 | − | 8940.14i | −0.146956 | − | 0.382835i | ||||
\(818\) | 2192.46 | − | 3017.66i | 0.0937132 | − | 0.128985i | ||||
\(819\) | −7217.76 | − | 8595.97i | −0.307948 | − | 0.366749i | ||||
\(820\) | 9153.29 | − | 2974.08i | 0.389813 | − | 0.126658i | ||||
\(821\) | −15940.0 | + | 12908.0i | −0.677601 | + | 0.548711i | −0.905169 | − | 0.425051i | \(-0.860256\pi\) |
0.227568 | + | 0.973762i | \(0.426923\pi\) | |||||||
\(822\) | 1332.81 | − | 2993.55i | 0.0565538 | − | 0.127022i | ||||
\(823\) | 18328.6 | − | 16503.2i | 0.776301 | − | 0.698985i | −0.182455 | − | 0.983214i | \(-0.558404\pi\) |
0.958756 | + | 0.284230i | \(0.0917378\pi\) | |||||||
\(824\) | −7332.51 | − | 7332.51i | −0.310000 | − | 0.310000i | ||||
\(825\) | −1321.73 | − | 11870.3i | −0.0557777 | − | 0.500935i | ||||
\(826\) | 39394.4 | − | 10555.7i | 1.65945 | − | 0.444648i | ||||
\(827\) | −4186.72 | − | 8216.90i | −0.176042 | − | 0.345501i | 0.786079 | − | 0.618127i | \(-0.212108\pi\) |
−0.962120 | + | 0.272625i | \(0.912108\pi\) | |||||||
\(828\) | −4073.47 | − | 38756.5i | −0.170970 | − | 1.62667i | ||||
\(829\) | −19175.0 | − | 2015.38i | −0.803348 | − | 0.0844353i | −0.306051 | − | 0.952015i | \(-0.599008\pi\) |
−0.497298 | + | 0.867580i | \(0.665674\pi\) | |||||||
\(830\) | −7201.03 | + | 377.390i | −0.301146 | + | 0.0157824i | ||||
\(831\) | 4211.56 | + | 12961.8i | 0.175809 | + | 0.541084i | ||||
\(832\) | −690.949 | − | 38842.2i | −0.0287913 | − | 1.61852i | ||||
\(833\) | 6443.16 | + | 8868.25i | 0.267998 | + | 0.368868i | ||||
\(834\) | −8912.52 | + | 13724.1i | −0.370042 | + | 0.569815i | ||||
\(835\) | −2353.56 | + | 1358.83i | −0.0975428 | + | 0.0563163i | ||||
\(836\) | 11630.6 | + | 4382.42i | 0.481164 | + | 0.181303i | ||||
\(837\) | −20931.7 | + | 20931.7i | −0.864402 | + | 0.864402i | ||||
\(838\) | −355.079 | + | 6775.30i | −0.0146372 | + | 0.279295i | ||||
\(839\) | −11035.3 | + | 13627.5i | −0.454090 | + | 0.560754i | −0.951851 | − | 0.306560i | \(-0.900822\pi\) |
0.497761 | + | 0.867314i | \(0.334155\pi\) | |||||||
\(840\) | −270.047 | − | 1705.01i | −0.0110923 | − | 0.0700338i | ||||
\(841\) | 49806.2 | + | 10586.6i | 2.04216 | + | 0.434074i | ||||
\(842\) | 210.081 | − | 233.319i | 0.00859844 | − | 0.00954953i | ||||
\(843\) | 11418.9 | + | 14101.2i | 0.466535 | + | 0.576123i | ||||
\(844\) | −1051.83 | + | 764.199i | −0.0428975 | + | 0.0311669i | ||||
\(845\) | 6207.99 | − | 1211.01i | 0.252735 | − | 0.0493017i | ||||
\(846\) | 6383.73i | 0.259429i | ||||||||
\(847\) | −8900.41 | + | 14082.9i | −0.361064 | + | 0.571304i | ||||
\(848\) | −6613.84 | − | 11455.5i | −0.267831 | − | 0.463896i | ||||
\(849\) | −8870.89 | − | 9852.12i | −0.358596 | − | 0.398261i | ||||
\(850\) | −4783.57 | + | 30202.3i | −0.193029 | + | 1.21874i | ||||
\(851\) | 2224.95 | − | 5796.19i | 0.0896243 | − | 0.233479i | ||||
\(852\) | 725.551 | + | 1117.25i | 0.0291749 | + | 0.0449253i | ||||
\(853\) | 13608.7 | + | 6933.97i | 0.546251 | + | 0.278329i | 0.705261 | − | 0.708948i | \(-0.250830\pi\) |
−0.159009 | + | 0.987277i | \(0.550830\pi\) | |||||||
\(854\) | −6708.83 | − | 15068.3i | −0.268819 | − | 0.603777i | ||||
\(855\) | 1448.45 | + | 644.890i | 0.0579367 | + | 0.0257951i | ||||
\(856\) | 2347.88 | + | 1524.73i | 0.0937487 | + | 0.0608811i | ||||
\(857\) | −17639.2 | −0.703083 | −0.351541 | − | 0.936172i | \(-0.614342\pi\) | ||||
−0.351541 | + | 0.936172i | \(0.614342\pi\) | |||||||
\(858\) | −14739.4 | + | 15463.1i | −0.586473 | + | 0.615269i | ||||
\(859\) | 21845.8 | 0.867716 | 0.433858 | − | 0.900981i | \(-0.357152\pi\) | ||||
0.433858 | + | 0.900981i | \(0.357152\pi\) | |||||||
\(860\) | −9505.86 | − | 6173.18i | −0.376915 | − | 0.244772i | ||||
\(861\) | −9060.13 | − | 4033.83i | −0.358616 | − | 0.159666i | ||||
\(862\) | 15784.7 | + | 35453.1i | 0.623701 | + | 1.40085i | ||||
\(863\) | −22631.2 | − | 11531.2i | −0.892670 | − | 0.454838i | −0.0534124 | − | 0.998573i | \(-0.517010\pi\) |
−0.839257 | + | 0.543735i | \(0.817010\pi\) | |||||||
\(864\) | 15472.4 | + | 23825.4i | 0.609238 | + | 0.938145i | ||||
\(865\) | −4279.81 | + | 11149.3i | −0.168229 | + | 0.438251i | ||||
\(866\) | 3995.02 | − | 25223.6i | 0.156763 | − | 0.989760i | ||||
\(867\) | −2725.56 | − | 3027.05i | −0.106765 | − | 0.118574i | ||||
\(868\) | 16943.4 | + | 29346.9i | 0.662555 | + | 1.14758i | ||||
\(869\) | 24240.2 | + | 10613.7i | 0.946252 | + | 0.414321i | ||||
\(870\) | − | 9869.59i | − | 0.384610i | ||||||
\(871\) | 2390.66 | + | 34024.9i | 0.0930015 | + | 1.32364i | ||||
\(872\) | 7794.21 | − | 5662.82i | 0.302689 | − | 0.219917i | ||||
\(873\) | −8246.03 | − | 10183.0i | −0.319686 | − | 0.394779i | ||||
\(874\) | −14764.5 | + | 16397.7i | −0.571417 | + | 0.634622i | ||||
\(875\) | −8519.66 | − | 1810.91i | −0.329163 | − | 0.0699657i | ||||
\(876\) | −5386.31 | − | 34007.8i | −0.207747 | − | 1.31167i | ||||
\(877\) | 1575.03 | − | 1945.00i | 0.0606443 | − | 0.0748894i | −0.745921 | − | 0.666034i | \(-0.767990\pi\) |
0.806565 | + | 0.591145i | \(0.201324\pi\) | |||||||
\(878\) | 694.913 | − | 13259.7i | 0.0267109 | − | 0.509675i | ||||
\(879\) | 16312.9 | − | 16312.9i | 0.625962 | − | 0.625962i | ||||
\(880\) | −1885.54 | + | 517.720i | −0.0722290 | + | 0.0198322i | ||||
\(881\) | −21537.3 | + | 12434.5i | −0.823620 | + | 0.475517i | −0.851663 | − | 0.524090i | \(-0.824406\pi\) |
0.0280434 | + | 0.999607i | \(0.491072\pi\) | |||||||
\(882\) | −8647.08 | + | 13315.3i | −0.330116 | + | 0.508334i | ||||
\(883\) | 11613.2 | + | 15984.2i | 0.442598 | + | 0.609184i | 0.970787 | − | 0.239943i | \(-0.0771287\pi\) |
−0.528189 | + | 0.849127i | \(0.677129\pi\) | |||||||
\(884\) | 27966.9 | − | 16816.9i | 1.06406 | − | 0.639835i | ||||
\(885\) | −1825.73 | − | 5619.01i | −0.0693459 | − | 0.213425i | ||||
\(886\) | −19036.1 | + | 997.640i | −0.721817 | + | 0.0378288i | ||||
\(887\) | −10190.4 | − | 1071.06i | −0.385750 | − | 0.0405440i | −0.0903313 | − | 0.995912i | \(-0.528793\pi\) |
−0.295419 | + | 0.955368i | \(0.595459\pi\) | |||||||
\(888\) | −180.634 | − | 1718.62i | −0.00682621 | − | 0.0649471i | ||||
\(889\) | −9481.49 | − | 18608.5i | −0.357704 | − | 0.702034i | ||||
\(890\) | 2993.66 | − | 802.150i | 0.112750 | − | 0.0302114i | ||||
\(891\) | −1131.18 | + | 5488.10i | −0.0425321 | + | 0.206351i | ||||
\(892\) | 21354.0 | + | 21354.0i | 0.801551 | + | 0.801551i | ||||
\(893\) | 1602.73 | − | 1443.10i | 0.0600596 | − | 0.0540779i | ||||
\(894\) | 10565.7 | − | 23731.0i | 0.395269 | − | 0.887788i | ||||
\(895\) | 9029.15 | − | 7311.66i | 0.337219 | − | 0.273075i | ||||
\(896\) | 23033.3 | − | 7483.98i | 0.858805 | − | 0.279043i | ||||
\(897\) | −9570.20 | − | 20505.5i | −0.356231 | − | 0.763276i | ||||
\(898\) | 29249.2 | − | 40258.0i | 1.08692 | − | 1.49602i | ||||
\(899\) | 22497.4 | + | 58607.7i | 0.834628 | + | 2.17428i | ||||
\(900\) | −25848.6 | + | 5494.29i | −0.957355 | + | 0.203492i | ||||
\(901\) | 20900.0 | − | 36199.9i | 0.772786 | − | 1.33850i | ||||
\(902\) | 13913.3 | − | 43737.2i | 0.513594 | − | 1.61451i | ||||
\(903\) | 3022.94 | + | 11281.8i | 0.111403 | + | 0.415763i | ||||
\(904\) | −24840.8 | − | 1301.85i | −0.913929 | − | 0.0478970i | ||||
\(905\) | 8420.78 | + | 1333.72i | 0.309300 | + | 0.0489883i | ||||
\(906\) | −28328.9 | + | 12612.9i | −1.03881 | + | 0.462510i | ||||
\(907\) | 27185.4 | + | 24477.8i | 0.995232 | + | 0.896110i | 0.994589 | − | 0.103889i | \(-0.0331288\pi\) |
0.000642642 | 1.00000i | \(0.499795\pi\) | ||||||||
\(908\) | −670.820 | − | 12800.0i | −0.0245176 | − | 0.467823i | ||||
\(909\) | −6173.19 | − | 4485.08i | −0.225249 | − | 0.163653i | ||||
\(910\) | 3533.71 | + | 6640.59i | 0.128727 | + | 0.241905i | ||||
\(911\) | −2494.81 | + | 7678.23i | −0.0907318 | + | 0.279244i | −0.986118 | − | 0.166047i | \(-0.946900\pi\) |
0.895386 | + | 0.445291i | \(0.146900\pi\) | |||||||
\(912\) | 389.057 | − | 1451.98i | 0.0141260 | − | 0.0527191i | ||||
\(913\) | −11068.5 | + | 17276.5i | −0.401220 | + | 0.626251i | ||||
\(914\) | −48816.3 | − | 28184.1i | −1.76663 | − | 1.01996i | ||||
\(915\) | −2129.01 | + | 1084.78i | −0.0769211 | + | 0.0391932i | ||||
\(916\) | −41671.3 | − | 33744.7i | −1.50312 | − | 1.21720i | ||||
\(917\) | −26258.6 | − | 10079.7i | −0.945622 | − | 0.362990i | ||||
\(918\) | −15391.7 | + | 30208.0i | −0.553380 | + | 1.08607i | ||||
\(919\) | 3638.01 | − | 17115.5i | 0.130584 | − | 0.614350i | −0.863372 | − | 0.504569i | \(-0.831652\pi\) |
0.993956 | − | 0.109781i | \(-0.0350151\pi\) | |||||||
\(920\) | −884.565 | + | 8416.07i | −0.0316992 | + | 0.301598i | ||||
\(921\) | −15202.7 | + | 5835.77i | −0.543915 | + | 0.208789i | ||||
\(922\) | −10206.9 | − | 3316.42i | −0.364583 | − | 0.118460i | ||||
\(923\) | −1482.61 | − | 1157.54i | −0.0528717 | − | 0.0412795i | ||||
\(924\) | −13549.0 | − | 6798.59i | −0.482392 | − | 0.242053i | ||||
\(925\) | −4066.65 | − | 1089.66i | −0.144552 | − | 0.0387326i | ||||
\(926\) | −18092.3 | − | 85117.6i | −0.642062 | − | 3.02067i | ||||
\(927\) | −11552.8 | + | 1214.25i | −0.409326 | + | 0.0430219i | ||||
\(928\) | 59505.0 | − | 9424.66i | 2.10490 | − | 0.333383i | ||||
\(929\) | −22306.0 | + | 14485.7i | −0.787766 | + | 0.511581i | −0.874719 | − | 0.484631i | \(-0.838954\pi\) |
0.0869525 | + | 0.996212i | \(0.472287\pi\) | |||||||
\(930\) | 6900.07 | − | 4480.96i | 0.243293 | − | 0.157996i | ||||
\(931\) | 5297.76 | − | 839.082i | 0.186495 | − | 0.0295379i | ||||
\(932\) | −34212.5 | + | 3595.88i | −1.20243 | + | 0.126381i | ||||
\(933\) | −2184.57 | − | 10277.6i | −0.0766555 | − | 0.360636i | ||||
\(934\) | −24800.2 | − | 6645.18i | −0.868829 | − | 0.232802i | ||||
\(935\) | −4396.02 | − | 4342.10i | −0.153760 | − | 0.151874i | ||||
\(936\) | 12071.8 | + | 9425.01i | 0.421557 | + | 0.329130i | ||||
\(937\) | −37957.8 | − | 12333.2i | −1.32340 | − | 0.429999i | −0.439739 | − | 0.898125i | \(-0.644929\pi\) |
−0.883662 | + | 0.468126i | \(0.844929\pi\) | |||||||
\(938\) | −37870.9 | + | 14537.3i | −1.31826 | + | 0.506033i | ||||
\(939\) | −13.6105 | + | 129.495i | −0.000473016 | + | 0.00450044i | ||||
\(940\) | 530.728 | − | 2496.88i | 0.0184154 | − | 0.0866375i | ||||
\(941\) | 561.711 | − | 1102.42i | 0.0194594 | − | 0.0381912i | −0.881072 | − | 0.472982i | \(-0.843178\pi\) |
0.900532 | + | 0.434791i | \(0.143178\pi\) | |||||||
\(942\) | 19620.1 | + | 7531.46i | 0.678618 | + | 0.260497i | ||||
\(943\) | 37782.9 | + | 30596.0i | 1.30475 | + | 1.05657i | ||||
\(944\) | 12135.8 | − | 6183.49i | 0.418417 | − | 0.213194i | ||||
\(945\) | −4038.19 | − | 2331.45i | −0.139008 | − | 0.0802562i | ||||
\(946\) | −50341.4 | + | 19681.5i | −1.73017 | + | 0.676429i | ||||
\(947\) | −7004.20 | + | 26140.0i | −0.240344 | + | 0.896976i | 0.735323 | + | 0.677717i | \(0.237031\pi\) |
−0.975667 | + | 0.219259i | \(0.929636\pi\) | |||||||
\(948\) | −7440.64 | + | 22899.9i | −0.254916 | + | 0.784552i | ||||
\(949\) | 22838.2 | + | 42917.9i | 0.781200 | + | 1.46804i | ||||
\(950\) | 12105.1 | + | 8794.88i | 0.413412 | + | 0.300362i | ||||
\(951\) | −558.538 | − | 10657.5i | −0.0190450 | − | 0.363401i | ||||
\(952\) | 9345.57 | + | 8414.79i | 0.318164 | + | 0.286476i | ||||
\(953\) | 7313.65 | − | 3256.24i | 0.248596 | − | 0.110682i | −0.278656 | − | 0.960391i | \(-0.589889\pi\) |
0.527252 | + | 0.849709i | \(0.323222\pi\) | |||||||
\(954\) | 59796.6 | + | 9470.86i | 2.02934 | + | 0.321415i | ||||
\(955\) | 1445.24 | + | 75.7420i | 0.0489706 | + | 0.00256644i | ||||
\(956\) | −12707.9 | − | 47426.7i | −0.429921 | − | 1.60449i | ||||
\(957\) | −22821.1 | − | 16366.3i | −0.770847 | − | 0.552818i | ||||
\(958\) | 38312.1 | − | 66358.4i | 1.29207 | − | 2.23794i | ||||
\(959\) | −3211.45 | + | 682.615i | −0.108137 | + | 0.0229852i | ||||
\(960\) | −2398.57 | − | 6248.49i | −0.0806390 | − | 0.210072i | ||||
\(961\) | −13249.2 | + | 18235.9i | −0.444738 | + | 0.612129i | ||||
\(962\) | 3184.68 | + | 6823.62i | 0.106734 | + | 0.228693i | ||||
\(963\) | 2982.62 | − | 969.112i | 0.0998064 | − | 0.0324291i | ||||
\(964\) | −7841.99 | + | 6350.32i | −0.262006 | + | 0.212168i | ||||
\(965\) | −5065.74 | + | 11377.8i | −0.168987 | + | 0.379550i | ||||
\(966\) | 19999.7 | − | 18007.8i | 0.666128 | − | 0.599784i | ||||
\(967\) | −12326.6 | − | 12326.6i | −0.409923 | − | 0.409923i | 0.471789 | − | 0.881712i | \(-0.343609\pi\) |
−0.881712 | + | 0.471789i | \(0.843609\pi\) | |||||||
\(968\) | 7883.75 | − | 21320.7i | 0.261770 | − | 0.707926i | ||||
\(969\) | 4588.31 | − | 1229.43i | 0.152113 | − | 0.0407586i | ||||
\(970\) | 3986.63 | + | 7824.20i | 0.131962 | + | 0.258990i | ||||
\(971\) | −6224.50 | − | 59222.1i | −0.205719 | − | 1.95729i | −0.279856 | − | 0.960042i | \(-0.590287\pi\) |
0.0741367 | − | 0.997248i | \(-0.476380\pi\) | |||||||
\(972\) | −46192.7 | − | 4855.05i | −1.52431 | − | 0.160212i | ||||
\(973\) | 16373.3 | − | 858.090i | 0.539471 | − | 0.0282725i | ||||
\(974\) | 18349.4 | + | 56473.6i | 0.603647 | + | 1.85784i | ||||
\(975\) | −13150.5 | + | 7907.60i | −0.431952 | + | 0.259739i | ||||
\(976\) | −3237.79 | − | 4456.43i | −0.106187 | − | 0.146155i | ||||
\(977\) | −26472.1 | + | 40763.5i | −0.866857 | + | 1.33484i | 0.0744273 | + | 0.997226i | \(0.476287\pi\) |
−0.941284 | + | 0.337616i | \(0.890380\pi\) | |||||||
\(978\) | 7843.76 | − | 4528.60i | 0.256458 | − | 0.148066i | ||||
\(979\) | 3109.47 | − | 8252.29i | 0.101511 | − | 0.269402i | ||||
\(980\) | 4489.15 | − | 4489.15i | 0.146327 | − | 0.146327i | ||||
\(981\) | 564.834 | − | 10777.7i | 0.0183831 | − | 0.350770i | ||||
\(982\) | −35937.9 | + | 44379.7i | −1.16785 | + | 1.44217i | ||||
\(983\) | −4848.57 | − | 30612.7i | −0.157320 | − | 0.993279i | −0.932403 | − | 0.361420i | \(-0.882292\pi\) |
0.775083 | − | 0.631859i | \(-0.217708\pi\) | |||||||
\(984\) | 13236.4 | + | 2813.49i | 0.428823 | + | 0.0911492i | ||||
\(985\) | 1218.61 | − | 1353.40i | 0.0394194 | − | 0.0437797i | ||||
\(986\) | 45247.7 | + | 55876.3i | 1.46144 | + | 1.80473i | ||||
\(987\) | −2128.06 | + | 1546.13i | −0.0686291 | + | 0.0498620i | ||||
\(988\) | −1119.20 | − | 15929.0i | −0.0360390 | − | 0.512924i | ||||
\(989\) | − | 57256.1i | − | 1.84089i | ||||||
\(990\) | 3589.51 | − | 8197.95i | 0.115235 | − | 0.263180i | ||||
\(991\) | 26109.2 | + | 45222.5i | 0.836919 | + | 1.44959i | 0.892458 | + | 0.451130i | \(0.148979\pi\) |
−0.0555396 | + | 0.998456i | \(0.517688\pi\) | |||||||
\(992\) | 33605.2 | + | 37322.4i | 1.07557 | + | 1.19454i | ||||
\(993\) | 1416.13 | − | 8941.08i | 0.0452563 | − | 0.285737i | ||||
\(994\) | 801.673 | − | 2088.43i | 0.0255810 | − | 0.0666408i | ||||
\(995\) | 388.978 | + | 598.974i | 0.0123934 | + | 0.0190842i | ||||
\(996\) | −16634.9 | − | 8475.91i | −0.529214 | − | 0.269648i | ||||
\(997\) | −12367.4 | − | 27777.7i | −0.392859 | − | 0.882376i | −0.996379 | − | 0.0850279i | \(-0.972902\pi\) |
0.603519 | − | 0.797348i | \(-0.293765\pi\) | |||||||
\(998\) | −1143.63 | − | 509.175i | −0.0362734 | − | 0.0161499i | ||||
\(999\) | −3914.77 | − | 2542.28i | −0.123982 | − | 0.0805147i |
(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 | 143.4.w.a.2.6 | ✓ | 640 | |
11.6 | odd | 10 | inner | 143.4.w.a.28.6 | yes | 640 | |
13.7 | odd | 12 | inner | 143.4.w.a.46.6 | yes | 640 | |
143.72 | even | 60 | inner | 143.4.w.a.72.6 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.w.a.2.6 | ✓ | 640 | 1.1 | even | 1 | trivial | |
143.4.w.a.28.6 | yes | 640 | 11.6 | odd | 10 | inner | |
143.4.w.a.46.6 | yes | 640 | 13.7 | odd | 12 | inner | |
143.4.w.a.72.6 | yes | 640 | 143.72 | even | 60 | inner |