Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [46,4,Mod(3,46)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(46, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("46.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 46 = 2 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 46.c (of order \(11\), degree \(10\), 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: | \(2.71408786026\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 27.1 | ||
Character | \(\chi\) | \(=\) | 46.27 |
Dual form | 46.4.c.b.29.1 |
$q$-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 \(\left(\mathbb{Z}/46\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.830830 | − | 1.81926i | −0.293743 | − | 0.643207i | ||||
\(3\) | −4.95549 | + | 1.45506i | −0.953684 | + | 0.280027i | −0.721320 | − | 0.692602i | \(-0.756464\pi\) |
−0.232364 | + | 0.972629i | \(0.574646\pi\) | |||||||
\(4\) | −2.61944 | + | 3.02300i | −0.327430 | + | 0.377875i | ||||
\(5\) | 5.53427 | + | 3.55666i | 0.495001 | + | 0.318118i | 0.764214 | − | 0.644963i | \(-0.223127\pi\) |
−0.269213 | + | 0.963081i | \(0.586764\pi\) | |||||||
\(6\) | 6.76431 | + | 7.80643i | 0.460253 | + | 0.531160i | ||||
\(7\) | 4.17332 | + | 29.0261i | 0.225338 | + | 1.56726i | 0.717374 | + | 0.696688i | \(0.245344\pi\) |
−0.492036 | + | 0.870575i | \(0.663747\pi\) | |||||||
\(8\) | 7.67594 | + | 2.25386i | 0.339232 | + | 0.0996075i | ||||
\(9\) | −0.274197 | + | 0.176216i | −0.0101554 | + | 0.00652651i | ||||
\(10\) | 1.87247 | − | 13.0233i | 0.0592126 | − | 0.411833i | ||||
\(11\) | −6.42266 | + | 14.0637i | −0.176046 | + | 0.385487i | −0.977000 | − | 0.213239i | \(-0.931599\pi\) |
0.800954 | + | 0.598726i | \(0.204326\pi\) | |||||||
\(12\) | 8.58197 | − | 18.7919i | 0.206450 | − | 0.452062i | ||||
\(13\) | 0.215635 | − | 1.49978i | 0.00460050 | − | 0.0319972i | −0.987392 | − | 0.158295i | \(-0.949400\pi\) |
0.991992 | + | 0.126298i | \(0.0403094\pi\) | |||||||
\(14\) | 49.3388 | − | 31.7081i | 0.941883 | − | 0.605311i | ||||
\(15\) | −32.6002 | − | 9.57228i | −0.561156 | − | 0.164770i | ||||
\(16\) | −2.27704 | − | 15.8371i | −0.0355787 | − | 0.247455i | ||||
\(17\) | −32.0913 | − | 37.0353i | −0.457840 | − | 0.528376i | 0.479149 | − | 0.877734i | \(-0.340945\pi\) |
−0.936989 | + | 0.349358i | \(0.886400\pi\) | |||||||
\(18\) | 0.548394 | + | 0.352431i | 0.00718098 | + | 0.00461494i | ||||
\(19\) | −76.4802 | + | 88.2629i | −0.923461 | + | 1.06573i | 0.0741906 | + | 0.997244i | \(0.476363\pi\) |
−0.997652 | + | 0.0684872i | \(0.978183\pi\) | |||||||
\(20\) | −25.2485 | + | 7.41363i | −0.282287 | + | 0.0828869i | ||||
\(21\) | −62.9157 | − | 137.766i | −0.653777 | − | 1.43157i | ||||
\(22\) | 30.9217 | 0.299660 | ||||||||
\(23\) | 100.621 | + | 45.1927i | 0.912216 | + | 0.409710i | ||||
\(24\) | −41.3175 | −0.351413 | ||||||||
\(25\) | −33.9485 | − | 74.3369i | −0.271588 | − | 0.594695i | ||||
\(26\) | −2.90764 | + | 0.853761i | −0.0219322 | + | 0.00643986i | ||||
\(27\) | 92.4206 | − | 106.659i | 0.658754 | − | 0.760242i | ||||
\(28\) | −98.6777 | − | 63.4163i | −0.666012 | − | 0.428020i | ||||
\(29\) | 82.5343 | + | 95.2496i | 0.528491 | + | 0.609911i | 0.955736 | − | 0.294225i | \(-0.0950615\pi\) |
−0.427246 | + | 0.904136i | \(0.640516\pi\) | |||||||
\(30\) | 9.67071 | + | 67.2613i | 0.0588541 | + | 0.409339i | ||||
\(31\) | 64.6899 | + | 18.9947i | 0.374795 | + | 0.110050i | 0.463704 | − | 0.885990i | \(-0.346520\pi\) |
−0.0889094 | + | 0.996040i | \(0.528338\pi\) | |||||||
\(32\) | −26.9201 | + | 17.3005i | −0.148714 | + | 0.0955727i | ||||
\(33\) | 11.3639 | − | 79.0377i | 0.0599455 | − | 0.416930i | ||||
\(34\) | −40.7146 | + | 89.1526i | −0.205368 | + | 0.449693i | ||||
\(35\) | −80.1397 | + | 175.482i | −0.387031 | + | 0.847480i | ||||
\(36\) | 0.185544 | − | 1.29048i | 0.000858998 | − | 0.00597446i | ||||
\(37\) | 172.446 | − | 110.824i | 0.766216 | − | 0.492417i | −0.0982174 | − | 0.995165i | \(-0.531314\pi\) |
0.864433 | + | 0.502748i | \(0.167678\pi\) | |||||||
\(38\) | 224.116 | + | 65.8063i | 0.956746 | + | 0.280926i | ||||
\(39\) | 1.11369 | + | 7.74588i | 0.00457264 | + | 0.0318034i | ||||
\(40\) | 34.4646 | + | 39.7742i | 0.136233 | + | 0.157221i | ||||
\(41\) | 281.587 | + | 180.965i | 1.07260 | + | 0.689316i | 0.952836 | − | 0.303487i | \(-0.0981509\pi\) |
0.119761 | + | 0.992803i | \(0.461787\pi\) | |||||||
\(42\) | −198.361 | + | 228.920i | −0.728755 | + | 0.841028i | ||||
\(43\) | −452.263 | + | 132.797i | −1.60394 | + | 0.470960i | −0.956640 | − | 0.291273i | \(-0.905921\pi\) |
−0.647302 | + | 0.762233i | \(0.724103\pi\) | |||||||
\(44\) | −25.6907 | − | 56.2547i | −0.0880230 | − | 0.192743i | ||||
\(45\) | −2.14422 | −0.00710314 | ||||||||
\(46\) | −1.38154 | − | 220.604i | −0.00442820 | − | 0.707093i | ||||
\(47\) | 388.803 | 1.20666 | 0.603328 | − | 0.797493i | \(-0.293841\pi\) | ||||
0.603328 | + | 0.797493i | \(0.293841\pi\) | |||||||
\(48\) | 34.3279 | + | 75.1675i | 0.103225 | + | 0.226031i | ||||
\(49\) | −495.992 | + | 145.637i | −1.44604 | + | 0.424596i | ||||
\(50\) | −107.033 | + | 123.523i | −0.302735 | + | 0.349375i | ||||
\(51\) | 212.917 | + | 136.833i | 0.584594 | + | 0.375696i | ||||
\(52\) | 3.96898 | + | 4.58044i | 0.0105846 | + | 0.0122153i | ||||
\(53\) | −43.2009 | − | 300.469i | −0.111964 | − | 0.778728i | −0.966005 | − | 0.258522i | \(-0.916764\pi\) |
0.854041 | − | 0.520206i | \(-0.174145\pi\) | |||||||
\(54\) | −270.827 | − | 79.5219i | −0.682497 | − | 0.200399i | ||||
\(55\) | −85.5645 | + | 54.9890i | −0.209773 | + | 0.134813i | ||||
\(56\) | −33.3866 | + | 232.209i | −0.0796691 | + | 0.554111i | ||||
\(57\) | 250.569 | − | 548.669i | 0.582257 | − | 1.27496i | ||||
\(58\) | 104.712 | − | 229.288i | 0.237059 | − | 0.519086i | ||||
\(59\) | 49.9824 | − | 347.636i | 0.110291 | − | 0.767090i | −0.857346 | − | 0.514741i | \(-0.827888\pi\) |
0.967636 | − | 0.252348i | \(-0.0812029\pi\) | |||||||
\(60\) | 114.331 | − | 73.4763i | 0.246002 | − | 0.158096i | ||||
\(61\) | 63.5897 | + | 18.6716i | 0.133472 | + | 0.0391911i | 0.347786 | − | 0.937574i | \(-0.386933\pi\) |
−0.214314 | + | 0.976765i | \(0.568752\pi\) | |||||||
\(62\) | −19.1900 | − | 133.469i | −0.0393086 | − | 0.273397i | ||||
\(63\) | −6.25917 | − | 7.22347i | −0.0125172 | − | 0.0144456i | ||||
\(64\) | 53.8402 | + | 34.6010i | 0.105157 | + | 0.0675801i | ||||
\(65\) | 6.52758 | − | 7.53323i | 0.0124561 | − | 0.0143751i | ||||
\(66\) | −153.232 | + | 44.9930i | −0.285781 | + | 0.0839129i | ||||
\(67\) | −329.339 | − | 721.151i | −0.600524 | − | 1.31496i | −0.928870 | − | 0.370407i | \(-0.879218\pi\) |
0.328346 | − | 0.944558i | \(-0.393509\pi\) | |||||||
\(68\) | 196.019 | 0.349571 | ||||||||
\(69\) | −564.385 | − | 77.5420i | −0.984695 | − | 0.135289i | ||||
\(70\) | 385.830 | 0.658793 | ||||||||
\(71\) | 410.457 | + | 898.776i | 0.686089 | + | 1.50233i | 0.856060 | + | 0.516876i | \(0.172905\pi\) |
−0.169971 | + | 0.985449i | \(0.554368\pi\) | |||||||
\(72\) | −2.50189 | + | 0.734620i | −0.00409514 | + | 0.00120244i | ||||
\(73\) | 396.087 | − | 457.109i | 0.635047 | − | 0.732884i | −0.343444 | − | 0.939173i | \(-0.611593\pi\) |
0.978491 | + | 0.206290i | \(0.0661389\pi\) | |||||||
\(74\) | −344.892 | − | 221.649i | −0.541796 | − | 0.348191i | ||||
\(75\) | 276.396 | + | 318.978i | 0.425540 | + | 0.491099i | ||||
\(76\) | −66.4830 | − | 462.399i | −0.100344 | − | 0.697906i | ||||
\(77\) | −435.017 | − | 127.733i | −0.643829 | − | 0.189045i | ||||
\(78\) | 13.1665 | − | 8.46161i | 0.0191130 | − | 0.0122832i | ||||
\(79\) | −171.344 | + | 1191.72i | −0.244022 | + | 1.69721i | 0.387515 | + | 0.921863i | \(0.373333\pi\) |
−0.631537 | + | 0.775346i | \(0.717576\pi\) | |||||||
\(80\) | 43.7256 | − | 95.7457i | 0.0611084 | − | 0.133809i | ||||
\(81\) | −299.138 | + | 655.020i | −0.410340 | + | 0.898519i | ||||
\(82\) | 95.2720 | − | 662.631i | 0.128305 | − | 0.892383i | ||||
\(83\) | 186.041 | − | 119.561i | 0.246032 | − | 0.158115i | −0.411813 | − | 0.911268i | \(-0.635104\pi\) |
0.657845 | + | 0.753153i | \(0.271468\pi\) | |||||||
\(84\) | 581.271 | + | 170.676i | 0.755022 | + | 0.221694i | ||||
\(85\) | −45.8799 | − | 319.102i | −0.0585456 | − | 0.407193i | ||||
\(86\) | 617.346 | + | 712.455i | 0.774071 | + | 0.893326i | ||||
\(87\) | −547.592 | − | 351.916i | −0.674805 | − | 0.433671i | ||||
\(88\) | −80.9975 | + | 93.4762i | −0.0981178 | + | 0.113234i | ||||
\(89\) | −962.991 | + | 282.760i | −1.14693 | + | 0.336769i | −0.799341 | − | 0.600877i | \(-0.794818\pi\) |
−0.347590 | + | 0.937647i | \(0.613000\pi\) | |||||||
\(90\) | 1.78148 | + | 3.90090i | 0.00208650 | + | 0.00456879i | ||||
\(91\) | 44.4326 | 0.0511846 | ||||||||
\(92\) | −400.189 | + | 185.798i | −0.453506 | + | 0.210552i | ||||
\(93\) | −348.208 | −0.388253 | ||||||||
\(94\) | −323.030 | − | 707.336i | −0.354446 | − | 0.776129i | ||||
\(95\) | −737.184 | + | 216.457i | −0.796142 | + | 0.233768i | ||||
\(96\) | 108.229 | − | 124.903i | 0.115063 | − | 0.132790i | ||||
\(97\) | 1289.55 | + | 828.743i | 1.34983 | + | 0.867485i | 0.997655 | − | 0.0684477i | \(-0.0218046\pi\) |
0.352178 | + | 0.935933i | \(0.385441\pi\) | |||||||
\(98\) | 677.037 | + | 781.342i | 0.697868 | + | 0.805382i | ||||
\(99\) | −0.717164 | − | 4.98799i | −0.000728058 | − | 0.00506375i | ||||
\(100\) | 313.647 | + | 92.0950i | 0.313647 | + | 0.0920950i | ||||
\(101\) | 844.643 | − | 542.819i | 0.832130 | − | 0.534778i | −0.0538239 | − | 0.998550i | \(-0.517141\pi\) |
0.885954 | + | 0.463773i | \(0.153505\pi\) | |||||||
\(102\) | 72.0383 | − | 501.037i | 0.0699299 | − | 0.486373i | ||||
\(103\) | −104.579 | + | 228.996i | −0.100043 | + | 0.219064i | −0.953035 | − | 0.302860i | \(-0.902058\pi\) |
0.852992 | + | 0.521924i | \(0.174786\pi\) | |||||||
\(104\) | 5.03549 | − | 11.0262i | 0.00474779 | − | 0.0103962i | ||||
\(105\) | 141.795 | − | 986.205i | 0.131788 | − | 0.916607i | ||||
\(106\) | −510.740 | + | 328.232i | −0.467995 | + | 0.300762i | ||||
\(107\) | 706.740 | + | 207.518i | 0.638534 | + | 0.187490i | 0.584945 | − | 0.811073i | \(-0.301116\pi\) |
0.0535884 | + | 0.998563i | \(0.482934\pi\) | |||||||
\(108\) | 80.3396 | + | 558.774i | 0.0715804 | + | 0.497853i | ||||
\(109\) | 557.618 | + | 643.525i | 0.490001 | + | 0.565491i | 0.945866 | − | 0.324558i | \(-0.105216\pi\) |
−0.455865 | + | 0.890049i | \(0.650670\pi\) | |||||||
\(110\) | 171.129 | + | 109.978i | 0.148332 | + | 0.0953271i | ||||
\(111\) | −693.298 | + | 800.109i | −0.592838 | + | 0.684171i | ||||
\(112\) | 450.188 | − | 132.187i | 0.379810 | − | 0.111522i | ||||
\(113\) | 409.665 | + | 897.042i | 0.341045 | + | 0.746784i | 0.999985 | − | 0.00541077i | \(-0.00172231\pi\) |
−0.658940 | + | 0.752195i | \(0.728995\pi\) | |||||||
\(114\) | −1206.35 | −0.991100 | ||||||||
\(115\) | 396.130 | + | 607.984i | 0.321211 | + | 0.492999i | ||||
\(116\) | −504.133 | −0.403514 | ||||||||
\(117\) | 0.205157 | + | 0.449232i | 0.000162110 | + | 0.000354970i | ||||
\(118\) | −673.968 | + | 197.895i | −0.525795 | + | 0.154387i | ||||
\(119\) | 941.065 | − | 1086.05i | 0.724935 | − | 0.836619i | ||||
\(120\) | −228.663 | − | 146.953i | −0.173950 | − | 0.111791i | ||||
\(121\) | 715.083 | + | 825.250i | 0.537253 | + | 0.620023i | ||||
\(122\) | −18.8636 | − | 131.199i | −0.0139986 | − | 0.0973625i | ||||
\(123\) | −1658.71 | − | 487.042i | −1.21594 | − | 0.357034i | ||||
\(124\) | −226.872 | + | 145.802i | −0.164304 | + | 0.105592i | ||||
\(125\) | 193.540 | − | 1346.10i | 0.138486 | − | 0.963191i | ||||
\(126\) | −7.94109 | + | 17.3886i | −0.00561467 | + | 0.0122944i | ||||
\(127\) | 421.727 | − | 923.453i | 0.294663 | − | 0.645222i | −0.703170 | − | 0.711022i | \(-0.748233\pi\) |
0.997833 | + | 0.0658000i | \(0.0209599\pi\) | |||||||
\(128\) | 18.2163 | − | 126.697i | 0.0125790 | − | 0.0874887i | ||||
\(129\) | 2047.96 | − | 1316.14i | 1.39777 | − | 0.898294i | ||||
\(130\) | −19.1282 | − | 5.61656i | −0.0129051 | − | 0.00378927i | ||||
\(131\) | −388.865 | − | 2704.62i | −0.259354 | − | 1.80384i | −0.537455 | − | 0.843292i | \(-0.680614\pi\) |
0.278101 | − | 0.960552i | \(-0.410295\pi\) | |||||||
\(132\) | 209.164 | + | 241.388i | 0.137919 | + | 0.159168i | ||||
\(133\) | −2881.11 | − | 1851.57i | −1.87837 | − | 1.20716i | ||||
\(134\) | −1038.34 | + | 1198.31i | −0.669395 | + | 0.772522i | ||||
\(135\) | 890.831 | − | 261.572i | 0.567930 | − | 0.166759i | ||||
\(136\) | −162.859 | − | 356.611i | −0.102684 | − | 0.224846i | ||||
\(137\) | 295.623 | 0.184356 | 0.0921780 | − | 0.995743i | \(-0.470617\pi\) | ||||
0.0921780 | + | 0.995743i | \(0.470617\pi\) | |||||||
\(138\) | 327.839 | + | 1091.19i | 0.202228 | + | 0.673103i | ||||
\(139\) | −1349.36 | −0.823390 | −0.411695 | − | 0.911322i | \(-0.635063\pi\) | ||||
−0.411695 | + | 0.911322i | \(0.635063\pi\) | |||||||
\(140\) | −320.559 | − | 701.926i | −0.193516 | − | 0.423740i | ||||
\(141\) | −1926.71 | + | 565.733i | −1.15077 | + | 0.337896i | ||||
\(142\) | 1294.09 | − | 1493.46i | 0.764772 | − | 0.882594i | ||||
\(143\) | 19.7074 | + | 12.6652i | 0.0115246 | + | 0.00740640i | ||||
\(144\) | 3.41511 | + | 3.94125i | 0.00197634 | + | 0.00228081i | ||||
\(145\) | 117.997 | + | 820.684i | 0.0675799 | + | 0.470028i | ||||
\(146\) | −1160.68 | − | 340.807i | −0.657937 | − | 0.193188i | ||||
\(147\) | 2245.97 | − | 1443.40i | 1.26017 | − | 0.809861i | ||||
\(148\) | −116.691 | + | 811.603i | −0.0648103 | + | 0.450766i | ||||
\(149\) | −878.431 | + | 1923.49i | −0.482979 | + | 1.05758i | 0.498655 | + | 0.866801i | \(0.333827\pi\) |
−0.981634 | + | 0.190775i | \(0.938900\pi\) | |||||||
\(150\) | 350.668 | − | 767.855i | 0.190879 | − | 0.417967i | ||||
\(151\) | 147.272 | − | 1024.30i | 0.0793697 | − | 0.552028i | −0.910874 | − | 0.412684i | \(-0.864591\pi\) |
0.990244 | − | 0.139344i | \(-0.0444995\pi\) | |||||||
\(152\) | −785.990 | + | 505.125i | −0.419422 | + | 0.269546i | ||||
\(153\) | 15.3255 | + | 4.49999i | 0.00809802 | + | 0.00237779i | ||||
\(154\) | 129.046 | + | 897.536i | 0.0675249 | + | 0.469646i | ||||
\(155\) | 290.454 | + | 335.202i | 0.150515 | + | 0.173703i | ||||
\(156\) | −26.3330 | − | 16.9232i | −0.0135149 | − | 0.00868552i | ||||
\(157\) | −622.252 | + | 718.117i | −0.316313 | + | 0.365044i | −0.891534 | − | 0.452953i | \(-0.850370\pi\) |
0.575222 | + | 0.817998i | \(0.304916\pi\) | |||||||
\(158\) | 2310.42 | − | 678.400i | 1.16334 | − | 0.341586i | ||||
\(159\) | 651.283 | + | 1426.11i | 0.324843 | + | 0.711307i | ||||
\(160\) | −210.515 | −0.104017 | ||||||||
\(161\) | −891.845 | + | 3109.24i | −0.436567 | + | 1.52201i | ||||
\(162\) | 1440.19 | 0.698468 | ||||||||
\(163\) | 1430.78 | + | 3132.98i | 0.687531 | + | 1.50548i | 0.854461 | + | 0.519515i | \(0.173887\pi\) |
−0.166930 | + | 0.985969i | \(0.553385\pi\) | |||||||
\(164\) | −1284.66 | + | 377.209i | −0.611676 | + | 0.179604i | ||||
\(165\) | 344.001 | − | 396.999i | 0.162306 | − | 0.187311i | ||||
\(166\) | −372.082 | − | 239.123i | −0.173971 | − | 0.111804i | ||||
\(167\) | −1134.45 | − | 1309.22i | −0.525665 | − | 0.606650i | 0.429375 | − | 0.903126i | \(-0.358734\pi\) |
−0.955040 | + | 0.296476i | \(0.904188\pi\) | |||||||
\(168\) | −172.432 | − | 1199.29i | −0.0791868 | − | 0.550756i | ||||
\(169\) | 2105.80 | + | 618.320i | 0.958490 | + | 0.281438i | ||||
\(170\) | −542.412 | + | 348.587i | −0.244712 | + | 0.157267i | ||||
\(171\) | 5.41734 | − | 37.6784i | 0.00242266 | − | 0.0168499i | ||||
\(172\) | 783.234 | − | 1715.04i | 0.347216 | − | 0.760296i | ||||
\(173\) | 98.8754 | − | 216.507i | 0.0434529 | − | 0.0951486i | −0.886661 | − | 0.462421i | \(-0.846981\pi\) |
0.930114 | + | 0.367272i | \(0.119708\pi\) | |||||||
\(174\) | −185.272 | + | 1288.60i | −0.0807210 | + | 0.561427i | ||||
\(175\) | 2016.03 | − | 1295.63i | 0.870845 | − | 0.559658i | ||||
\(176\) | 237.353 | + | 69.6931i | 0.101654 | + | 0.0298484i | ||||
\(177\) | 258.144 | + | 1795.43i | 0.109623 | + | 0.762446i | ||||
\(178\) | 1314.50 | + | 1517.01i | 0.553515 | + | 0.638791i | ||||
\(179\) | −2269.29 | − | 1458.39i | −0.947569 | − | 0.608966i | −0.0270380 | − | 0.999634i | \(-0.508608\pi\) |
−0.920531 | + | 0.390668i | \(0.872244\pi\) | |||||||
\(180\) | 5.61666 | − | 6.48197i | 0.00232579 | − | 0.00268410i | ||||
\(181\) | −2520.27 | + | 740.017i | −1.03497 | + | 0.303895i | −0.754731 | − | 0.656034i | \(-0.772233\pi\) |
−0.280241 | + | 0.959930i | \(0.590415\pi\) | |||||||
\(182\) | −36.9159 | − | 80.8346i | −0.0150351 | − | 0.0329223i | ||||
\(183\) | −342.286 | −0.138265 | ||||||||
\(184\) | 670.504 | + | 573.683i | 0.268643 | + | 0.229850i | ||||
\(185\) | 1348.53 | 0.535924 | ||||||||
\(186\) | 289.302 | + | 633.483i | 0.114046 | + | 0.249727i | ||||
\(187\) | 726.965 | − | 213.456i | 0.284283 | − | 0.0834730i | ||||
\(188\) | −1018.45 | + | 1175.35i | −0.395096 | + | 0.455965i | ||||
\(189\) | 3481.60 | + | 2237.49i | 1.33994 | + | 0.861128i | ||||
\(190\) | 1006.27 | + | 1161.29i | 0.384222 | + | 0.443416i | ||||
\(191\) | −718.076 | − | 4994.33i | −0.272032 | − | 1.89203i | −0.427230 | − | 0.904143i | \(-0.640510\pi\) |
0.155198 | − | 0.987883i | \(-0.450399\pi\) | |||||||
\(192\) | −317.151 | − | 93.1240i | −0.119210 | − | 0.0350034i | ||||
\(193\) | −3879.07 | + | 2492.93i | −1.44675 | + | 0.929767i | −0.447373 | + | 0.894348i | \(0.647640\pi\) |
−0.999373 | + | 0.0354193i | \(0.988723\pi\) | |||||||
\(194\) | 436.306 | − | 3034.57i | 0.161469 | − | 1.12304i | ||||
\(195\) | −21.3860 | + | 46.8289i | −0.00785377 | + | 0.0171974i | ||||
\(196\) | 858.965 | − | 1880.87i | 0.313034 | − | 0.685449i | ||||
\(197\) | 320.421 | − | 2228.58i | 0.115884 | − | 0.805988i | −0.846128 | − | 0.532980i | \(-0.821072\pi\) |
0.962012 | − | 0.273008i | \(-0.0880187\pi\) | |||||||
\(198\) | −8.47863 | + | 5.44888i | −0.00304318 | + | 0.00195573i | ||||
\(199\) | −1183.41 | − | 347.479i | −0.421555 | − | 0.123780i | 0.0640733 | − | 0.997945i | \(-0.479591\pi\) |
−0.485628 | + | 0.874166i | \(0.661409\pi\) | |||||||
\(200\) | −93.0420 | − | 647.121i | −0.0328953 | − | 0.228792i | ||||
\(201\) | 2681.35 | + | 3094.45i | 0.940935 | + | 1.08590i | ||||
\(202\) | −1689.29 | − | 1085.64i | −0.588405 | − | 0.378145i | ||||
\(203\) | −2420.28 | + | 2793.16i | −0.836801 | + | 0.965720i | ||||
\(204\) | −971.370 | + | 285.220i | −0.333380 | + | 0.0978892i | ||||
\(205\) | 914.747 | + | 2003.02i | 0.311652 | + | 0.682423i | ||||
\(206\) | 503.491 | 0.170291 | ||||||||
\(207\) | −35.5537 | + | 5.33931i | −0.0119379 | + | 0.00179279i | ||||
\(208\) | −24.2432 | −0.00808155 | ||||||||
\(209\) | −750.093 | − | 1642.48i | −0.248254 | − | 0.543600i | ||||
\(210\) | −1911.97 | + | 561.406i | −0.628280 | + | 0.184480i | ||||
\(211\) | −1544.13 | + | 1782.02i | −0.503803 | + | 0.581420i | −0.949501 | − | 0.313764i | \(-0.898410\pi\) |
0.445698 | + | 0.895183i | \(0.352955\pi\) | |||||||
\(212\) | 1021.48 | + | 656.465i | 0.330922 | + | 0.212671i | ||||
\(213\) | −3341.79 | − | 3856.63i | −1.07500 | − | 1.24062i | ||||
\(214\) | −209.651 | − | 1458.16i | −0.0669695 | − | 0.465783i | ||||
\(215\) | −2975.26 | − | 873.616i | −0.943773 | − | 0.277117i | ||||
\(216\) | 949.810 | − | 610.406i | 0.299196 | − | 0.192282i | ||||
\(217\) | −281.369 | + | 1956.97i | −0.0880211 | + | 0.612200i | ||||
\(218\) | 707.457 | − | 1549.11i | 0.219794 | − | 0.481281i | ||||
\(219\) | −1297.68 | + | 2841.53i | −0.400407 | + | 0.876770i | ||||
\(220\) | 57.8998 | − | 402.702i | 0.0177436 | − | 0.123410i | ||||
\(221\) | −62.4647 | + | 40.1436i | −0.0190128 | + | 0.0122188i | ||||
\(222\) | 2031.62 | + | 596.538i | 0.614205 | + | 0.180347i | ||||
\(223\) | −837.220 | − | 5823.00i | −0.251410 | − | 1.74859i | −0.589764 | − | 0.807576i | \(-0.700779\pi\) |
0.338354 | − | 0.941019i | \(-0.390130\pi\) | |||||||
\(224\) | −614.513 | − | 709.186i | −0.183298 | − | 0.211538i | ||||
\(225\) | 22.4079 | + | 14.4007i | 0.00663938 | + | 0.00426687i | ||||
\(226\) | 1291.59 | − | 1490.58i | 0.380157 | − | 0.438725i | ||||
\(227\) | 3755.80 | − | 1102.80i | 1.09815 | − | 0.322447i | 0.318035 | − | 0.948079i | \(-0.396977\pi\) |
0.780118 | + | 0.625632i | \(0.215159\pi\) | |||||||
\(228\) | 1002.28 | + | 2194.68i | 0.291128 | + | 0.637482i | ||||
\(229\) | 421.159 | 0.121533 | 0.0607663 | − | 0.998152i | \(-0.480646\pi\) | ||||
0.0607663 | + | 0.998152i | \(0.480646\pi\) | |||||||
\(230\) | 776.968 | − | 1225.80i | 0.222747 | − | 0.351420i | ||||
\(231\) | 2341.58 | 0.666947 | ||||||||
\(232\) | 418.849 | + | 917.152i | 0.118529 | + | 0.259543i | ||||
\(233\) | 3501.21 | − | 1028.05i | 0.984429 | − | 0.289055i | 0.250378 | − | 0.968148i | \(-0.419445\pi\) |
0.734052 | + | 0.679094i | \(0.237627\pi\) | |||||||
\(234\) | 0.646821 | − | 0.746471i | 0.000180701 | − | 0.000208540i | ||||
\(235\) | 2151.74 | + | 1382.84i | 0.597295 | + | 0.383858i | ||||
\(236\) | 919.975 | + | 1061.71i | 0.253751 | + | 0.292845i | ||||
\(237\) | −884.940 | − | 6154.89i | −0.242544 | − | 1.68693i | ||||
\(238\) | −2757.67 | − | 809.725i | −0.751064 | − | 0.220532i | ||||
\(239\) | −1195.84 | + | 768.517i | −0.323649 | + | 0.207997i | −0.692369 | − | 0.721544i | \(-0.743433\pi\) |
0.368719 | + | 0.929541i | \(0.379796\pi\) | |||||||
\(240\) | −77.3657 | + | 538.090i | −0.0208081 | + | 0.144723i | ||||
\(241\) | 1565.48 | − | 3427.91i | 0.418428 | − | 0.916230i | −0.576637 | − | 0.817001i | \(-0.695635\pi\) |
0.995065 | − | 0.0992288i | \(-0.0316376\pi\) | |||||||
\(242\) | 907.235 | − | 1986.57i | 0.240989 | − | 0.527692i | ||||
\(243\) | −13.0148 | + | 90.5200i | −0.00343580 | + | 0.0238965i | ||||
\(244\) | −223.014 | + | 143.322i | −0.0585123 | + | 0.0376035i | ||||
\(245\) | −3262.94 | − | 958.085i | −0.850863 | − | 0.249836i | ||||
\(246\) | 492.051 | + | 3422.29i | 0.127528 | + | 0.886980i | ||||
\(247\) | 115.883 | + | 133.736i | 0.0298520 | + | 0.0344510i | ||||
\(248\) | 453.744 | + | 291.604i | 0.116181 | + | 0.0746648i | ||||
\(249\) | −747.955 | + | 863.186i | −0.190360 | + | 0.219687i | ||||
\(250\) | −2609.71 | + | 766.280i | −0.660210 | + | 0.193855i | ||||
\(251\) | −1525.99 | − | 3341.46i | −0.383745 | − | 0.840284i | −0.998663 | − | 0.0516930i | \(-0.983538\pi\) |
0.614918 | − | 0.788591i | \(-0.289189\pi\) | |||||||
\(252\) | 38.2321 | 0.00955712 | ||||||||
\(253\) | −1281.83 | + | 1124.84i | −0.318530 | + | 0.279519i | ||||
\(254\) | −2030.39 | −0.501566 | ||||||||
\(255\) | 691.670 | + | 1514.55i | 0.169859 | + | 0.371940i | ||||
\(256\) | −245.630 | + | 72.1235i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | 1031.83 | − | 1190.80i | 0.250443 | − | 0.289027i | −0.616582 | − | 0.787290i | \(-0.711483\pi\) |
0.867026 | + | 0.498263i | \(0.166029\pi\) | |||||||
\(258\) | −4095.92 | − | 2632.29i | −0.988374 | − | 0.635190i | ||||
\(259\) | 3936.48 | + | 4542.94i | 0.944404 | + | 1.08990i | ||||
\(260\) | 5.67431 | + | 39.4657i | 0.00135348 | + | 0.00941369i | ||||
\(261\) | −39.4151 | − | 11.5733i | −0.00934764 | − | 0.00274472i | ||||
\(262\) | −4597.33 | + | 2954.53i | −1.08406 | + | 0.696684i | ||||
\(263\) | −833.926 | + | 5800.08i | −0.195521 | + | 1.35988i | 0.621564 | + | 0.783363i | \(0.286497\pi\) |
−0.817085 | + | 0.576517i | \(0.804412\pi\) | |||||||
\(264\) | 265.369 | − | 581.076i | 0.0618648 | − | 0.135465i | ||||
\(265\) | 829.581 | − | 1816.53i | 0.192305 | − | 0.421089i | ||||
\(266\) | −974.793 | + | 6779.83i | −0.224693 | + | 1.56278i | ||||
\(267\) | 4360.66 | − | 2802.43i | 0.999506 | − | 0.642343i | ||||
\(268\) | 3042.72 | + | 893.424i | 0.693522 | + | 0.203636i | ||||
\(269\) | 420.118 | + | 2921.98i | 0.0952232 | + | 0.662292i | 0.980397 | + | 0.197032i | \(0.0631301\pi\) |
−0.885174 | + | 0.465260i | \(0.845961\pi\) | |||||||
\(270\) | −1216.00 | − | 1403.33i | −0.274086 | − | 0.316312i | ||||
\(271\) | 4417.90 | + | 2839.21i | 0.990290 | + | 0.636421i | 0.932220 | − | 0.361892i | \(-0.117869\pi\) |
0.0580697 | + | 0.998313i | \(0.481505\pi\) | |||||||
\(272\) | −513.461 | + | 592.566i | −0.114460 | + | 0.132094i | ||||
\(273\) | −220.185 | + | 64.6522i | −0.0488139 | + | 0.0143331i | ||||
\(274\) | −245.613 | − | 537.816i | −0.0541533 | − | 0.118579i | ||||
\(275\) | 1263.49 | 0.277059 | ||||||||
\(276\) | 1712.78 | − | 1503.02i | 0.373542 | − | 0.327794i | ||||
\(277\) | −193.221 | −0.0419117 | −0.0209559 | − | 0.999780i | \(-0.506671\pi\) | ||||
−0.0209559 | + | 0.999780i | \(0.506671\pi\) | |||||||
\(278\) | 1121.09 | + | 2454.84i | 0.241865 | + | 0.529610i | ||||
\(279\) | −21.0849 | + | 6.19109i | −0.00452445 | + | 0.00132850i | ||||
\(280\) | −1010.66 | + | 1166.36i | −0.215709 | + | 0.248941i | ||||
\(281\) | 1929.25 | + | 1239.85i | 0.409570 | + | 0.263215i | 0.729163 | − | 0.684340i | \(-0.239910\pi\) |
−0.319593 | + | 0.947555i | \(0.603546\pi\) | |||||||
\(282\) | 2629.99 | + | 3035.17i | 0.555367 | + | 0.640928i | ||||
\(283\) | 169.106 | + | 1176.16i | 0.0355205 | + | 0.247051i | 0.999844 | − | 0.0176770i | \(-0.00562704\pi\) |
−0.964323 | + | 0.264728i | \(0.914718\pi\) | |||||||
\(284\) | −3792.17 | − | 1113.48i | −0.792337 | − | 0.232651i | ||||
\(285\) | 3338.15 | − | 2145.30i | 0.693806 | − | 0.445882i | ||||
\(286\) | 6.66780 | − | 46.3756i | 0.00137858 | − | 0.00958827i | ||||
\(287\) | −4077.55 | + | 8928.59i | −0.838642 | + | 1.83637i | ||||
\(288\) | 4.33279 | − | 9.48749i | 0.000886501 | − | 0.00194117i | ||||
\(289\) | 357.428 | − | 2485.97i | 0.0727515 | − | 0.505998i | ||||
\(290\) | 1395.01 | − | 896.516i | 0.282474 | − | 0.181535i | ||||
\(291\) | −7596.21 | − | 2230.45i | −1.53023 | − | 0.449317i | ||||
\(292\) | 344.312 | + | 2394.74i | 0.0690045 | + | 0.479937i | ||||
\(293\) | −1465.22 | − | 1690.95i | −0.292146 | − | 0.337155i | 0.590635 | − | 0.806939i | \(-0.298877\pi\) |
−0.882781 | + | 0.469784i | \(0.844332\pi\) | |||||||
\(294\) | −4491.95 | − | 2886.80i | −0.891074 | − | 0.572658i | ||||
\(295\) | 1513.04 | − | 1746.14i | 0.298619 | − | 0.344624i | ||||
\(296\) | 1573.47 | − | 462.012i | 0.308973 | − | 0.0907227i | ||||
\(297\) | 906.431 | + | 1984.81i | 0.177092 | + | 0.387778i | ||||
\(298\) | 4229.17 | 0.822112 | ||||||||
\(299\) | 89.4764 | − | 141.164i | 0.0173062 | − | 0.0273034i | ||||
\(300\) | −1688.28 | −0.324909 | ||||||||
\(301\) | −5742.01 | − | 12573.2i | −1.09955 | − | 2.40767i | ||||
\(302\) | −1985.83 | + | 583.092i | −0.378383 | + | 0.111103i | ||||
\(303\) | −3395.78 | + | 3918.94i | −0.643837 | + | 0.743028i | ||||
\(304\) | 1571.98 | + | 1010.25i | 0.296576 | + | 0.190598i | ||||
\(305\) | 285.514 | + | 329.501i | 0.0536016 | + | 0.0618595i | ||||
\(306\) | −4.54626 | − | 31.6199i | −0.000849322 | − | 0.00590716i | ||||
\(307\) | 4765.75 | + | 1399.35i | 0.885979 | + | 0.260147i | 0.692898 | − | 0.721036i | \(-0.256334\pi\) |
0.193081 | + | 0.981183i | \(0.438152\pi\) | |||||||
\(308\) | 1525.64 | − | 980.469i | 0.282245 | − | 0.181388i | ||||
\(309\) | 185.036 | − | 1286.95i | 0.0340658 | − | 0.236933i | ||||
\(310\) | 368.502 | − | 806.908i | 0.0675146 | − | 0.147836i | ||||
\(311\) | −1141.94 | + | 2500.50i | −0.208211 | + | 0.455918i | −0.984710 | − | 0.174200i | \(-0.944266\pi\) |
0.776500 | + | 0.630118i | \(0.216993\pi\) | |||||||
\(312\) | −8.90952 | + | 61.9671i | −0.00161667 | + | 0.0112442i | ||||
\(313\) | 5427.01 | − | 3487.73i | 0.980041 | − | 0.629834i | 0.0505668 | − | 0.998721i | \(-0.483897\pi\) |
0.929474 | + | 0.368886i | \(0.120261\pi\) | |||||||
\(314\) | 1823.43 | + | 535.407i | 0.327714 | + | 0.0962254i | ||||
\(315\) | −8.94853 | − | 62.2384i | −0.00160061 | − | 0.0111325i | ||||
\(316\) | −3153.76 | − | 3639.63i | −0.561432 | − | 0.647927i | ||||
\(317\) | 5073.66 | + | 3260.64i | 0.898944 | + | 0.577716i | 0.906477 | − | 0.422255i | \(-0.138761\pi\) |
−0.00753298 | + | 0.999972i | \(0.502398\pi\) | |||||||
\(318\) | 2053.37 | − | 2369.71i | 0.362098 | − | 0.417883i | ||||
\(319\) | −1869.65 | + | 548.979i | −0.328151 | + | 0.0963539i | ||||
\(320\) | 174.902 | + | 382.983i | 0.0305542 | + | 0.0669044i | ||||
\(321\) | −3804.19 | −0.661462 | ||||||||
\(322\) | 6397.51 | − | 960.753i | 1.10720 | − | 0.166275i | ||||
\(323\) | 5723.20 | 0.985905 | ||||||||
\(324\) | −1196.55 | − | 2620.08i | −0.205170 | − | 0.449259i | ||||
\(325\) | −118.809 | + | 34.8855i | −0.0202780 | + | 0.00595416i | ||||
\(326\) | 4510.98 | − | 5205.95i | 0.766380 | − | 0.884450i | ||||
\(327\) | −3699.64 | − | 2377.61i | −0.625659 | − | 0.402086i | ||||
\(328\) | 1753.57 | + | 2023.73i | 0.295198 | + | 0.340677i | ||||
\(329\) | 1622.60 | + | 11285.5i | 0.271906 | + | 1.89115i | ||||
\(330\) | −1008.05 | − | 295.991i | −0.168156 | − | 0.0493750i | ||||
\(331\) | −2420.04 | + | 1555.26i | −0.401865 | + | 0.258263i | −0.725925 | − | 0.687773i | \(-0.758588\pi\) |
0.324060 | + | 0.946036i | \(0.394952\pi\) | |||||||
\(332\) | −125.890 | + | 875.586i | −0.0208106 | + | 0.144741i | ||||
\(333\) | −27.7552 | + | 60.7754i | −0.00456750 | + | 0.0100014i | ||||
\(334\) | −1439.29 | + | 3151.60i | −0.235791 | + | 0.516310i | ||||
\(335\) | 742.240 | − | 5162.39i | 0.121053 | − | 0.841945i | ||||
\(336\) | −2038.56 | + | 1310.10i | −0.330990 | + | 0.212714i | ||||
\(337\) | −5429.72 | − | 1594.31i | −0.877672 | − | 0.257708i | −0.188297 | − | 0.982112i | \(-0.560297\pi\) |
−0.689375 | + | 0.724404i | \(0.742115\pi\) | |||||||
\(338\) | −624.678 | − | 4344.73i | −0.100527 | − | 0.699178i | ||||
\(339\) | −3335.34 | − | 3849.19i | −0.534369 | − | 0.616695i | ||||
\(340\) | 1084.82 | + | 697.174i | 0.173038 | + | 0.111205i | ||||
\(341\) | −682.616 | + | 787.781i | −0.108404 | + | 0.125105i | ||||
\(342\) | −73.0479 | + | 21.4488i | −0.0115496 | + | 0.00339128i | ||||
\(343\) | −2118.82 | − | 4639.56i | −0.333543 | − | 0.730357i | ||||
\(344\) | −3770.85 | −0.591020 | ||||||||
\(345\) | −2847.67 | − | 2436.47i | −0.444387 | − | 0.380217i | ||||
\(346\) | −476.032 | −0.0739642 | ||||||||
\(347\) | −1329.26 | − | 2910.67i | −0.205643 | − | 0.450296i | 0.778506 | − | 0.627637i | \(-0.215978\pi\) |
−0.984149 | + | 0.177341i | \(0.943250\pi\) | |||||||
\(348\) | 2498.23 | − | 733.545i | 0.384825 | − | 0.112995i | ||||
\(349\) | 1139.78 | − | 1315.38i | 0.174817 | − | 0.201750i | −0.661578 | − | 0.749876i | \(-0.730113\pi\) |
0.836396 | + | 0.548126i | \(0.184659\pi\) | |||||||
\(350\) | −4032.07 | − | 2591.25i | −0.615780 | − | 0.395738i | ||||
\(351\) | −140.035 | − | 161.610i | −0.0212950 | − | 0.0245757i | ||||
\(352\) | −70.4098 | − | 489.711i | −0.0106615 | − | 0.0741525i | ||||
\(353\) | −1736.61 | − | 509.915i | −0.261843 | − | 0.0768840i | 0.148176 | − | 0.988961i | \(-0.452660\pi\) |
−0.410019 | + | 0.912077i | \(0.634478\pi\) | |||||||
\(354\) | 3051.89 | − | 1961.33i | 0.458209 | − | 0.294473i | ||||
\(355\) | −925.060 | + | 6433.93i | −0.138302 | + | 0.961909i | ||||
\(356\) | 1667.72 | − | 3651.79i | 0.248283 | − | 0.543665i | ||||
\(357\) | −3083.17 | + | 6751.20i | −0.457083 | + | 1.00087i | ||||
\(358\) | −767.793 | + | 5340.11i | −0.113349 | + | 0.788363i | ||||
\(359\) | −1471.08 | + | 945.403i | −0.216268 | + | 0.138987i | −0.644290 | − | 0.764781i | \(-0.722847\pi\) |
0.428022 | + | 0.903768i | \(0.359211\pi\) | |||||||
\(360\) | −16.4589 | − | 4.83277i | −0.00240961 | − | 0.000707527i | ||||
\(361\) | −964.974 | − | 6711.54i | −0.140687 | − | 0.978502i | ||||
\(362\) | 3440.20 | + | 3970.20i | 0.499483 | + | 0.576435i | ||||
\(363\) | −4744.38 | − | 3049.03i | −0.685992 | − | 0.440861i | ||||
\(364\) | −116.389 | + | 134.320i | −0.0167594 | + | 0.0193414i | ||||
\(365\) | 3817.83 | − | 1121.02i | 0.547492 | − | 0.160758i | ||||
\(366\) | 284.382 | + | 622.709i | 0.0406144 | + | 0.0889331i | ||||
\(367\) | 276.292 | 0.0392979 | 0.0196490 | − | 0.999807i | \(-0.493745\pi\) | ||||
0.0196490 | + | 0.999807i | \(0.493745\pi\) | |||||||
\(368\) | 486.606 | − | 1696.46i | 0.0689296 | − | 0.240310i | ||||
\(369\) | −109.099 | −0.0153915 | ||||||||
\(370\) | −1120.40 | − | 2453.33i | −0.157424 | − | 0.344710i | ||||
\(371\) | 8541.15 | − | 2507.91i | 1.19524 | − | 0.350955i | ||||
\(372\) | 912.111 | − | 1052.63i | 0.127126 | − | 0.146711i | ||||
\(373\) | −3885.48 | − | 2497.05i | −0.539363 | − | 0.346628i | 0.242427 | − | 0.970170i | \(-0.422057\pi\) |
−0.781790 | + | 0.623542i | \(0.785693\pi\) | |||||||
\(374\) | −992.317 | − | 1145.19i | −0.137196 | − | 0.158333i | ||||
\(375\) | 999.574 | + | 6952.19i | 0.137647 | + | 0.957359i | ||||
\(376\) | 2984.43 | + | 876.309i | 0.409336 | + | 0.120192i | ||||
\(377\) | 160.650 | − | 103.244i | 0.0219467 | − | 0.0141043i | ||||
\(378\) | 1177.96 | − | 8192.92i | 0.160285 | − | 1.11481i | ||||
\(379\) | −1659.91 | + | 3634.70i | −0.224971 | + | 0.492617i | −0.988135 | − | 0.153587i | \(-0.950917\pi\) |
0.763165 | + | 0.646204i | \(0.223645\pi\) | |||||||
\(380\) | 1276.66 | − | 2795.50i | 0.172346 | − | 0.377385i | ||||
\(381\) | −746.180 | + | 5189.80i | −0.100336 | + | 0.697851i | ||||
\(382\) | −8489.41 | + | 5455.81i | −1.13706 | + | 0.730742i | ||||
\(383\) | 8960.83 | + | 2631.14i | 1.19550 | + | 0.351031i | 0.818131 | − | 0.575032i | \(-0.195010\pi\) |
0.377370 | + | 0.926063i | \(0.376829\pi\) | |||||||
\(384\) | 94.0816 | + | 654.352i | 0.0125028 | + | 0.0869590i | ||||
\(385\) | −1953.20 | − | 2254.12i | −0.258557 | − | 0.298391i | ||||
\(386\) | 7758.15 | + | 4985.86i | 1.02300 | + | 0.657444i | ||||
\(387\) | 100.608 | − | 116.108i | 0.0132150 | − | 0.0152509i | ||||
\(388\) | −5883.19 | + | 1727.46i | −0.769777 | + | 0.226027i | ||||
\(389\) | −721.548 | − | 1579.97i | −0.0940461 | − | 0.205932i | 0.856762 | − | 0.515711i | \(-0.172472\pi\) |
−0.950809 | + | 0.309779i | \(0.899745\pi\) | |||||||
\(390\) | 102.962 | 0.0133684 | ||||||||
\(391\) | −1555.34 | − | 5176.83i | −0.201168 | − | 0.669575i | ||||
\(392\) | −4135.45 | −0.532837 | ||||||||
\(393\) | 5862.41 | + | 12836.9i | 0.752466 | + | 1.64767i | ||||
\(394\) | −4320.59 | + | 1268.64i | −0.552457 | + | 0.162216i | ||||
\(395\) | −5186.83 | + | 5985.92i | −0.660703 | + | 0.762492i | ||||
\(396\) | 16.9573 | + | 10.8978i | 0.00215185 | + | 0.00138291i | ||||
\(397\) | −9925.92 | − | 11455.1i | −1.25483 | − | 1.44815i | −0.843913 | − | 0.536480i | \(-0.819754\pi\) |
−0.410918 | − | 0.911672i | \(-0.634792\pi\) | |||||||
\(398\) | 351.052 | + | 2441.62i | 0.0442127 | + | 0.307506i | ||||
\(399\) | 16971.4 | + | 4983.26i | 2.12941 | + | 0.625251i | ||||
\(400\) | −1099.98 | + | 706.916i | −0.137498 | + | 0.0883645i | ||||
\(401\) | −448.316 | + | 3118.10i | −0.0558300 | + | 0.388306i | 0.942678 | + | 0.333703i | \(0.108298\pi\) |
−0.998508 | + | 0.0546027i | \(0.982611\pi\) | |||||||
\(402\) | 3401.87 | − | 7449.05i | 0.422064 | − | 0.924191i | ||||
\(403\) | 42.4371 | − | 92.9244i | 0.00524552 | − | 0.0114861i | ||||
\(404\) | −571.553 | + | 3975.24i | −0.0703857 | + | 0.489543i | ||||
\(405\) | −3985.19 | + | 2561.13i | −0.488953 | + | 0.314231i | ||||
\(406\) | 7092.33 | + | 2082.50i | 0.866962 | + | 0.254563i | ||||
\(407\) | 451.035 | + | 3137.01i | 0.0549311 | + | 0.382054i | ||||
\(408\) | 1325.93 | + | 1530.21i | 0.160891 | + | 0.185678i | ||||
\(409\) | 4450.99 | + | 2860.47i | 0.538110 | + | 0.345822i | 0.781299 | − | 0.624156i | \(-0.214557\pi\) |
−0.243189 | + | 0.969979i | \(0.578194\pi\) | |||||||
\(410\) | 2884.02 | − | 3328.33i | 0.347394 | − | 0.400914i | ||||
\(411\) | −1464.96 | + | 430.150i | −0.175817 | + | 0.0516247i | ||||
\(412\) | −418.315 | − | 915.982i | −0.0500216 | − | 0.109532i | ||||
\(413\) | 10299.1 | 1.22708 | ||||||||
\(414\) | 39.2527 | + | 60.2455i | 0.00465982 | + | 0.00715194i | ||||
\(415\) | 1454.84 | 0.172085 | ||||||||
\(416\) | 20.1420 | + | 44.1047i | 0.00237390 | + | 0.00519811i | ||||
\(417\) | 6686.73 | − | 1963.40i | 0.785254 | − | 0.230571i | ||||
\(418\) | −2364.90 | + | 2729.24i | −0.276725 | + | 0.319357i | ||||
\(419\) | −4312.39 | − | 2771.41i | −0.502802 | − | 0.323131i | 0.264534 | − | 0.964376i | \(-0.414782\pi\) |
−0.767336 | + | 0.641245i | \(0.778418\pi\) | |||||||
\(420\) | 2609.87 | + | 3011.95i | 0.303211 | + | 0.349924i | ||||
\(421\) | 951.452 | + | 6617.49i | 0.110145 | + | 0.766073i | 0.967777 | + | 0.251810i | \(0.0810257\pi\) |
−0.857632 | + | 0.514264i | \(0.828065\pi\) | |||||||
\(422\) | 4524.88 | + | 1328.63i | 0.521962 | + | 0.153262i | ||||
\(423\) | −106.609 | + | 68.5133i | −0.0122541 | + | 0.00787524i | ||||
\(424\) | 345.607 | − | 2403.75i | 0.0395853 | − | 0.275322i | ||||
\(425\) | −1663.64 | + | 3642.86i | −0.189879 | + | 0.415776i | ||||
\(426\) | −4239.77 | + | 9283.81i | −0.482201 | + | 1.05587i | ||||
\(427\) | −276.584 | + | 1923.68i | −0.0313462 | + | 0.218018i | ||||
\(428\) | −2478.59 | + | 1592.89i | −0.279923 | + | 0.179896i | ||||
\(429\) | −116.088 | − | 34.0866i | −0.0130648 | − | 0.00383617i | ||||
\(430\) | 882.599 | + | 6138.61i | 0.0989831 | + | 0.688442i | ||||
\(431\) | −1913.92 | − | 2208.78i | −0.213898 | − | 0.246852i | 0.638654 | − | 0.769494i | \(-0.279492\pi\) |
−0.852552 | + | 0.522643i | \(0.824946\pi\) | |||||||
\(432\) | −1899.62 | − | 1220.81i | −0.211564 | − | 0.135964i | ||||
\(433\) | 8485.15 | − | 9792.38i | 0.941732 | − | 1.08682i | −0.0543618 | − | 0.998521i | \(-0.517312\pi\) |
0.996094 | − | 0.0882959i | \(-0.0281421\pi\) | |||||||
\(434\) | 3794.01 | − | 1114.02i | 0.419627 | − | 0.123214i | ||||
\(435\) | −1778.88 | − | 3895.20i | −0.196070 | − | 0.429334i | ||||
\(436\) | −3406.02 | −0.374126 | ||||||||
\(437\) | −11684.4 | + | 5424.76i | −1.27904 | + | 0.593825i | ||||
\(438\) | 6247.64 | 0.681561 | ||||||||
\(439\) | 2162.98 | + | 4736.26i | 0.235156 | + | 0.514919i | 0.990014 | − | 0.140969i | \(-0.0450217\pi\) |
−0.754858 | + | 0.655888i | \(0.772294\pi\) | |||||||
\(440\) | −780.726 | + | 229.242i | −0.0845901 | + | 0.0248379i | ||||
\(441\) | 110.336 | − | 127.335i | 0.0119141 | − | 0.0137496i | ||||
\(442\) | 124.929 | + | 80.2873i | 0.0134441 | + | 0.00863999i | ||||
\(443\) | −4936.72 | − | 5697.27i | −0.529459 | − | 0.611029i | 0.426514 | − | 0.904481i | \(-0.359741\pi\) |
−0.955974 | + | 0.293452i | \(0.905196\pi\) | |||||||
\(444\) | −602.673 | − | 4191.68i | −0.0644180 | − | 0.448037i | ||||
\(445\) | −6335.14 | − | 1860.16i | −0.674864 | − | 0.198158i | ||||
\(446\) | −9897.98 | + | 6361.04i | −1.05086 | + | 0.675346i | ||||
\(447\) | 1554.25 | − | 10810.0i | 0.164459 | − | 1.14384i | ||||
\(448\) | −779.640 | + | 1707.17i | −0.0822199 | + | 0.180037i | ||||
\(449\) | 6429.76 | − | 14079.2i | 0.675811 | − | 1.47982i | −0.191211 | − | 0.981549i | \(-0.561241\pi\) |
0.867022 | − | 0.498270i | \(-0.166031\pi\) | |||||||
\(450\) | 7.58149 | − | 52.7304i | 0.000794211 | − | 0.00552386i | ||||
\(451\) | −4353.56 | + | 2797.87i | −0.454548 | + | 0.292121i | ||||
\(452\) | −3784.85 | − | 1111.33i | −0.393860 | − | 0.115648i | ||||
\(453\) | 760.615 | + | 5290.19i | 0.0788892 | + | 0.548686i | ||||
\(454\) | −5126.71 | − | 5916.54i | −0.529975 | − | 0.611624i | ||||
\(455\) | 245.902 | + | 158.032i | 0.0253364 | + | 0.0162827i | ||||
\(456\) | 3159.98 | − | 3646.81i | 0.324516 | − | 0.374512i | ||||
\(457\) | −1857.57 | + | 545.431i | −0.190139 | + | 0.0558298i | −0.375416 | − | 0.926857i | \(-0.622500\pi\) |
0.185277 | + | 0.982686i | \(0.440682\pi\) | |||||||
\(458\) | −349.911 | − | 766.199i | −0.0356993 | − | 0.0781706i | ||||
\(459\) | −6916.05 | −0.703298 | ||||||||
\(460\) | −2875.58 | − | 395.081i | −0.291466 | − | 0.0400451i | ||||
\(461\) | 543.476 | 0.0549072 | 0.0274536 | − | 0.999623i | \(-0.491260\pi\) | ||||
0.0274536 | + | 0.999623i | \(0.491260\pi\) | |||||||
\(462\) | −1945.46 | − | 4259.96i | −0.195911 | − | 0.428985i | ||||
\(463\) | −7924.01 | + | 2326.70i | −0.795378 | + | 0.233544i | −0.654082 | − | 0.756424i | \(-0.726945\pi\) |
−0.141295 | + | 0.989967i | \(0.545127\pi\) | |||||||
\(464\) | 1320.55 | − | 1523.99i | 0.132123 | − | 0.152478i | ||||
\(465\) | −1927.08 | − | 1238.46i | −0.192185 | − | 0.123510i | ||||
\(466\) | −4779.20 | − | 5515.50i | −0.475091 | − | 0.548284i | ||||
\(467\) | 111.620 | + | 776.336i | 0.0110603 | + | 0.0769262i | 0.994604 | − | 0.103744i | \(-0.0330823\pi\) |
−0.983544 | + | 0.180670i | \(0.942173\pi\) | |||||||
\(468\) | −1.89543 | − | 0.556547i | −0.000187214 | − | 5.49710e-5i | ||||
\(469\) | 19557.8 | − | 12569.0i | 1.92557 | − | 1.23749i | ||||
\(470\) | 728.021 | − | 5063.50i | 0.0714492 | − | 0.496940i | ||||
\(471\) | 2038.66 | − | 4464.03i | 0.199440 | − | 0.436713i | ||||
\(472\) | 1167.18 | − | 2555.78i | 0.113822 | − | 0.249236i | ||||
\(473\) | 1037.13 | − | 7213.39i | 0.100819 | − | 0.701209i | ||||
\(474\) | −10462.1 | + | 6723.61i | −1.01380 | + | 0.651531i | ||||
\(475\) | 9157.58 | + | 2688.91i | 0.884587 | + | 0.259738i | ||||
\(476\) | 818.052 | + | 5689.67i | 0.0787717 | + | 0.547869i | ||||
\(477\) | 64.7929 | + | 74.7750i | 0.00621942 | + | 0.00717759i | ||||
\(478\) | 2391.67 | + | 1537.03i | 0.228855 | + | 0.147076i | ||||
\(479\) | 10087.3 | − | 11641.4i | 0.962218 | − | 1.11046i | −0.0316067 | − | 0.999500i | \(-0.510062\pi\) |
0.993825 | − | 0.110959i | \(-0.0353922\pi\) | |||||||
\(480\) | 1043.21 | − | 306.313i | 0.0991992 | − | 0.0291275i | ||||
\(481\) | −129.026 | − | 282.528i | −0.0122310 | − | 0.0267821i | ||||
\(482\) | −7536.92 | −0.712235 | ||||||||
\(483\) | −104.619 | − | 16705.5i | −0.00985576 | − | 1.57376i | ||||
\(484\) | −4367.85 | −0.410204 | ||||||||
\(485\) | 4189.16 | + | 9172.98i | 0.392206 | + | 0.858811i | ||||
\(486\) | 175.493 | − | 51.5293i | 0.0163797 | − | 0.00480950i | ||||
\(487\) | −7969.46 | + | 9197.25i | −0.741542 | + | 0.855785i | −0.993720 | − | 0.111896i | \(-0.964308\pi\) |
0.252178 | + | 0.967681i | \(0.418853\pi\) | |||||||
\(488\) | 446.027 | + | 286.644i | 0.0413744 | + | 0.0265897i | ||||
\(489\) | −11648.9 | − | 13443.6i | −1.07726 | − | 1.24323i | ||||
\(490\) | 967.937 | + | 6732.15i | 0.0892387 | + | 0.620669i | ||||
\(491\) | 9137.40 | + | 2682.98i | 0.839848 | + | 0.246602i | 0.673242 | − | 0.739422i | \(-0.264901\pi\) |
0.166606 | + | 0.986024i | \(0.446719\pi\) | |||||||
\(492\) | 5817.23 | − | 3738.51i | 0.533051 | − | 0.342571i | ||||
\(493\) | 878.970 | − | 6113.37i | 0.0802978 | − | 0.558484i | ||||
\(494\) | 147.022 | − | 321.933i | 0.0133903 | − | 0.0293207i | ||||
\(495\) | 13.7716 | − | 30.1556i | 0.00125048 | − | 0.00273817i | ||||
\(496\) | 153.520 | − | 1067.75i | 0.0138977 | − | 0.0966604i | ||||
\(497\) | −24375.0 | + | 15664.9i | −2.19994 | + | 1.41381i | ||||
\(498\) | 2191.79 | + | 643.567i | 0.197221 | + | 0.0579095i | ||||
\(499\) | −892.923 | − | 6210.42i | −0.0801057 | − | 0.557147i | −0.989865 | − | 0.142011i | \(-0.954643\pi\) |
0.909759 | − | 0.415136i | \(-0.136266\pi\) | |||||||
\(500\) | 3562.29 | + | 4111.10i | 0.318621 | + | 0.367708i | ||||
\(501\) | 7526.73 | + | 4837.14i | 0.671197 | + | 0.431352i | ||||
\(502\) | −4811.16 | + | 5552.38i | −0.427754 | + | 0.493655i | ||||
\(503\) | −6502.64 | + | 1909.35i | −0.576418 | + | 0.169252i | −0.556932 | − | 0.830558i | \(-0.688021\pi\) |
−0.0194868 | + | 0.999810i | \(0.506203\pi\) | |||||||
\(504\) | −31.7643 | − | 69.5542i | −0.00280733 | − | 0.00614720i | ||||
\(505\) | 6605.11 | 0.582027 | ||||||||
\(506\) | 3111.37 | + | 1397.44i | 0.273355 | + | 0.122774i | ||||
\(507\) | −11335.0 | −0.992907 | ||||||||
\(508\) | 1686.91 | + | 3693.81i | 0.147331 | + | 0.322611i | ||||
\(509\) | 21362.0 | − | 6272.45i | 1.86022 | − | 0.546211i | 0.860926 | − | 0.508730i | \(-0.169885\pi\) |
0.999297 | − | 0.0374809i | \(-0.0119333\pi\) | |||||||
\(510\) | 2180.70 | − | 2516.66i | 0.189339 | − | 0.218509i | ||||
\(511\) | 14921.1 | + | 9589.20i | 1.29172 | + | 0.830139i | ||||
\(512\) | 335.289 | + | 386.944i | 0.0289410 | + | 0.0333997i | ||||
\(513\) | 2345.69 | + | 16314.6i | 0.201880 | + | 1.40411i | ||||
\(514\) | −3023.65 | − | 887.825i | −0.259470 | − | 0.0761873i | ||||
\(515\) | −1393.23 | + | 895.373i | −0.119210 | + | 0.0766114i | ||||
\(516\) | −1385.81 | + | 9638.53i | −0.118231 | + | 0.822312i | ||||
\(517\) | −2497.15 | + | 5468.00i | −0.212427 | + | 0.465150i | ||||
\(518\) | 4994.26 | − | 10935.9i | 0.423620 | − | 0.927598i | ||||
\(519\) | −174.945 | + | 1216.77i | −0.0147962 | + | 0.102910i | ||||
\(520\) | 67.0842 | − | 43.1124i | 0.00565738 | − | 0.00363578i | ||||
\(521\) | −12332.1 | − | 3621.02i | −1.03700 | − | 0.304491i | −0.281447 | − | 0.959577i | \(-0.590814\pi\) |
−0.755554 | + | 0.655086i | \(0.772632\pi\) | |||||||
\(522\) | 11.6923 | + | 81.3220i | 0.000980382 | + | 0.00681871i | ||||
\(523\) | −11216.8 | − | 12944.9i | −0.937814 | − | 1.08230i | −0.996464 | − | 0.0840168i | \(-0.973225\pi\) |
0.0586500 | − | 0.998279i | \(-0.481320\pi\) | |||||||
\(524\) | 9194.67 | + | 5909.05i | 0.766547 | + | 0.492630i | ||||
\(525\) | −8105.21 | + | 9353.91i | −0.673791 | + | 0.777597i | ||||
\(526\) | 11244.7 | − | 3301.75i | 0.932117 | − | 0.273694i | ||||
\(527\) | −1372.51 | − | 3005.37i | −0.113449 | − | 0.248418i | ||||
\(528\) | −1277.61 | −0.105304 | ||||||||
\(529\) | 8082.23 | + | 9094.69i | 0.664275 | + | 0.747488i | ||||
\(530\) | −3993.99 | −0.327335 | ||||||||
\(531\) | 47.5538 | + | 104.128i | 0.00388636 | + | 0.00850995i | ||||
\(532\) | 13144.2 | − | 3859.48i | 1.07119 | − | 0.314530i | ||||
\(533\) | 332.127 | − | 383.294i | 0.0269906 | − | 0.0311488i | ||||
\(534\) | −8721.32 | − | 5604.85i | −0.706757 | − | 0.454205i | ||||
\(535\) | 3173.22 | + | 3662.09i | 0.256431 | + | 0.295937i | ||||
\(536\) | −902.611 | − | 6277.80i | −0.0727367 | − | 0.505895i | ||||
\(537\) | 13367.5 | + | 3925.05i | 1.07421 | + | 0.315416i | ||||
\(538\) | 4966.81 | − | 3191.98i | 0.398020 | − | 0.255792i | ||||
\(539\) | 1137.41 | − | 7910.85i | 0.0908936 | − | 0.632179i | ||||
\(540\) | −1542.75 | + | 3378.15i | −0.122943 | + | 0.269208i | ||||
\(541\) | −7428.03 | + | 16265.1i | −0.590306 | + | 1.29259i | 0.344950 | + | 0.938621i | \(0.387896\pi\) |
−0.935257 | + | 0.353970i | \(0.884832\pi\) | |||||||
\(542\) | 1494.75 | − | 10396.2i | 0.118460 | − | 0.823905i | ||||
\(543\) | 11412.4 | − | 7334.29i | 0.901938 | − | 0.579640i | ||||
\(544\) | 1504.63 | + | 441.800i | 0.118586 | + | 0.0348199i | ||||
\(545\) | 797.208 | + | 5544.70i | 0.0626580 | + | 0.435796i | ||||
\(546\) | 300.556 | + | 346.860i | 0.0235579 | + | 0.0271872i | ||||
\(547\) | 19323.9 | + | 12418.7i | 1.51047 | + | 0.970723i | 0.993390 | + | 0.114789i | \(0.0366192\pi\) |
0.517085 | + | 0.855934i | \(0.327017\pi\) | |||||||
\(548\) | −774.368 | + | 893.668i | −0.0603638 | + | 0.0696635i | ||||
\(549\) | −20.7263 | + | 6.08580i | −0.00161125 | + | 0.000473106i | ||||
\(550\) | −1049.75 | − | 2298.62i | −0.0813842 | − | 0.178206i | ||||
\(551\) | −14719.2 | −1.13804 | ||||||||
\(552\) | −4157.42 | − | 1867.25i | −0.320564 | − | 0.143978i | ||||
\(553\) | −35306.2 | −2.71496 | ||||||||
\(554\) | 160.534 | + | 351.521i | 0.0123113 | + | 0.0269579i | ||||
\(555\) | −6682.62 | + | 1962.19i | −0.511102 | + | 0.150073i | ||||
\(556\) | 3534.57 | − | 4079.11i | 0.269603 | − | 0.311138i | ||||
\(557\) | −7012.66 | − | 4506.76i | −0.533458 | − | 0.342832i | 0.246018 | − | 0.969265i | \(-0.420878\pi\) |
−0.779475 | + | 0.626433i | \(0.784514\pi\) | |||||||
\(558\) | 28.7812 | + | 33.2153i | 0.00218352 | + | 0.00251992i | ||||
\(559\) | 101.641 | + | 706.929i | 0.00769045 | + | 0.0534882i | ||||
\(560\) | 2961.61 | + | 869.607i | 0.223484 | + | 0.0656207i | ||||
\(561\) | −3291.87 | + | 2115.56i | −0.247741 | + | 0.159214i | ||||
\(562\) | 652.741 | − | 4539.91i | 0.0489933 | − | 0.340756i | ||||
\(563\) | −7123.18 | + | 15597.6i | −0.533226 | + | 1.16760i | 0.430960 | + | 0.902371i | \(0.358175\pi\) |
−0.964185 | + | 0.265230i | \(0.914552\pi\) | |||||||
\(564\) | 3336.70 | − | 7306.35i | 0.249114 | − | 0.545484i | ||||
\(565\) | −923.275 | + | 6421.52i | −0.0687477 | + | 0.478151i | ||||
\(566\) | 1999.24 | − | 1284.84i | 0.148471 | − | 0.0954164i | ||||
\(567\) | −20261.1 | − | 5949.19i | −1.50068 | − | 0.440639i | ||||
\(568\) | 1124.93 | + | 7824.07i | 0.0831005 | + | 0.577976i | ||||
\(569\) | 9391.00 | + | 10837.8i | 0.691900 | + | 0.798495i | 0.987634 | − | 0.156775i | \(-0.0501098\pi\) |
−0.295734 | + | 0.955270i | \(0.595564\pi\) | |||||||
\(570\) | −6676.29 | − | 4290.59i | −0.490595 | − | 0.315286i | ||||
\(571\) | 5831.77 | − | 6730.22i | 0.427412 | − | 0.493259i | −0.500669 | − | 0.865639i | \(-0.666913\pi\) |
0.928081 | + | 0.372379i | \(0.121458\pi\) | |||||||
\(572\) | −89.9092 | + | 26.3997i | −0.00657219 | + | 0.00192977i | ||||
\(573\) | 10825.5 | + | 23704.5i | 0.789251 | + | 1.72822i | ||||
\(574\) | 19631.2 | 1.42751 | ||||||||
\(575\) | −56.4512 | − | 9014.09i | −0.00409422 | − | 0.653763i | ||||
\(576\) | −20.8601 | −0.00150897 | ||||||||
\(577\) | −2999.18 | − | 6567.28i | −0.216391 | − | 0.473830i | 0.770043 | − | 0.637993i | \(-0.220235\pi\) |
−0.986433 | + | 0.164163i | \(0.947508\pi\) | |||||||
\(578\) | −4819.59 | + | 1415.16i | −0.346832 | + | 0.101839i | ||||
\(579\) | 15595.3 | − | 17998.0i | 1.11938 | − | 1.29183i | ||||
\(580\) | −2790.01 | − | 1793.03i | −0.199740 | − | 0.128365i | ||||
\(581\) | 4246.81 | + | 4901.08i | 0.303248 | + | 0.349967i | ||||
\(582\) | 2253.39 | + | 15672.6i | 0.160491 | + | 1.11624i | ||||
\(583\) | 4503.16 | + | 1322.25i | 0.319900 | + | 0.0939312i | ||||
\(584\) | 4070.60 | − | 2616.02i | 0.288429 | − | 0.185362i | ||||
\(585\) | −0.462369 | + | 3.21585i | −3.26780e−5 | + | 0.000227280i | ||||
\(586\) | −1858.94 | + | 4070.51i | −0.131045 | + | 0.286947i | ||||
\(587\) | −2297.39 | + | 5030.58i | −0.161539 | + | 0.353721i | −0.973042 | − | 0.230627i | \(-0.925922\pi\) |
0.811503 | + | 0.584348i | \(0.198650\pi\) | |||||||
\(588\) | −1519.81 | + | 10570.5i | −0.106591 | + | 0.741359i | ||||
\(589\) | −6624.02 | + | 4257.00i | −0.463392 | + | 0.297804i | ||||
\(590\) | −4433.77 | − | 1301.87i | −0.309382 | − | 0.0908427i | ||||
\(591\) | 1654.88 | + | 11509.9i | 0.115182 | + | 0.801108i | ||||
\(592\) | −2147.81 | − | 2478.70i | −0.149112 | − | 0.172085i | ||||
\(593\) | −21202.1 | − | 13625.7i | −1.46824 | − | 0.943579i | −0.998140 | − | 0.0609645i | \(-0.980582\pi\) |
−0.470098 | − | 0.882614i | \(-0.655781\pi\) | |||||||
\(594\) | 2857.80 | − | 3298.07i | 0.197402 | − | 0.227814i | ||||
\(595\) | 9070.81 | − | 2663.43i | 0.624986 | − | 0.183513i | ||||
\(596\) | −3513.72 | − | 7693.98i | −0.241489 | − | 0.528788i | ||||
\(597\) | 6369.96 | 0.436692 | ||||||||
\(598\) | −331.154 | − | 45.4980i | −0.0226453 | − | 0.00311129i | ||||
\(599\) | −3283.49 | −0.223973 | −0.111987 | − | 0.993710i | \(-0.535721\pi\) | ||||
−0.111987 | + | 0.993710i | \(0.535721\pi\) | |||||||
\(600\) | 1402.67 | + | 3071.42i | 0.0954396 | + | 0.208984i | ||||
\(601\) | 2322.10 | − | 681.830i | 0.157605 | − | 0.0462769i | −0.201978 | − | 0.979390i | \(-0.564737\pi\) |
0.359583 | + | 0.933113i | \(0.382919\pi\) | |||||||
\(602\) | −18103.4 | + | 20892.5i | −1.22565 | + | 1.41447i | ||||
\(603\) | 217.382 | + | 139.703i | 0.0146807 | + | 0.00943472i | ||||
\(604\) | 2710.68 | + | 3128.30i | 0.182610 | + | 0.210743i | ||||
\(605\) | 1022.33 | + | 7110.47i | 0.0687003 | + | 0.477821i | ||||
\(606\) | 9950.91 | + | 2921.85i | 0.667043 | + | 0.195862i | ||||
\(607\) | −3433.45 | + | 2206.54i | −0.229587 | + | 0.147547i | −0.650377 | − | 0.759611i | \(-0.725389\pi\) |
0.420790 | + | 0.907158i | \(0.361753\pi\) | |||||||
\(608\) | 531.864 | − | 3699.19i | 0.0354768 | − | 0.246747i | ||||
\(609\) | 7929.47 | − | 17363.1i | 0.527616 | − | 1.15532i | ||||
\(610\) | 362.235 | − | 793.184i | 0.0240434 | − | 0.0526477i | ||||
\(611\) | 83.8397 | − | 583.118i | 0.00555121 | − | 0.0386095i | ||||
\(612\) | −53.7478 | + | 34.5416i | −0.00355005 | + | 0.00228148i | ||||
\(613\) | 12006.9 | + | 3525.54i | 0.791116 | + | 0.232293i | 0.652235 | − | 0.758017i | \(-0.273831\pi\) |
0.138881 | + | 0.990309i | \(0.455650\pi\) | |||||||
\(614\) | −1413.74 | − | 9832.78i | −0.0929217 | − | 0.646284i | ||||
\(615\) | −7447.53 | − | 8594.91i | −0.488315 | − | 0.563545i | ||||
\(616\) | −3051.28 | − | 1960.94i | −0.199577 | − | 0.128260i | ||||
\(617\) | 1026.37 | − | 1184.50i | 0.0669697 | − | 0.0772871i | −0.721276 | − | 0.692648i | \(-0.756444\pi\) |
0.788246 | + | 0.615361i | \(0.210990\pi\) | |||||||
\(618\) | −2495.04 | + | 732.610i | −0.162403 | + | 0.0476859i | ||||
\(619\) | −1305.17 | − | 2857.91i | −0.0847480 | − | 0.185572i | 0.862513 | − | 0.506034i | \(-0.168889\pi\) |
−0.947261 | + | 0.320462i | \(0.896162\pi\) | |||||||
\(620\) | −1774.14 | −0.114921 | ||||||||
\(621\) | 14119.7 | − | 6555.41i | 0.912404 | − | 0.423607i | ||||
\(622\) | 5497.83 | 0.354410 | ||||||||
\(623\) | −12226.3 | − | 26771.8i | −0.786254 | − | 1.72166i | ||||
\(624\) | 120.137 | − | 35.2753i | 0.00770724 | − | 0.00226305i | ||||
\(625\) | −830.838 | + | 958.838i | −0.0531736 | + | 0.0613656i | ||||
\(626\) | −10854.0 | − | 6975.46i | −0.692994 | − | 0.445360i | ||||
\(627\) | 6106.98 | + | 7047.83i | 0.388978 | + | 0.448905i | ||||
\(628\) | −540.913 | − | 3762.13i | −0.0343706 | − | 0.239053i | ||||
\(629\) | −9638.45 | − | 2830.10i | −0.610986 | − | 0.179402i | ||||
\(630\) | −105.793 | + | 67.9893i | −0.00669033 | + | 0.00429961i | ||||
\(631\) | 378.332 | − | 2631.36i | 0.0238687 | − | 0.166010i | −0.974401 | − | 0.224819i | \(-0.927821\pi\) |
0.998269 | + | 0.0588083i | \(0.0187301\pi\) | |||||||
\(632\) | −4001.21 | + | 8761.43i | −0.251835 | + | 0.551441i | ||||
\(633\) | 5058.97 | − | 11077.6i | 0.317656 | − | 0.695569i | ||||
\(634\) | 1716.62 | − | 11939.4i | 0.107533 | − | 0.747907i | ||||
\(635\) | 5618.36 | − | 3610.70i | 0.351115 | − | 0.225648i | ||||
\(636\) | −6017.13 | − | 1766.79i | −0.375149 | − | 0.110154i | ||||
\(637\) | 111.469 | + | 775.282i | 0.00693336 | + | 0.0482226i | ||||
\(638\) | 2552.10 | + | 2945.28i | 0.158368 | + | 0.182766i | ||||
\(639\) | −270.925 | − | 174.113i | −0.0167725 | − | 0.0107790i | ||||
\(640\) | 551.433 | − | 636.388i | 0.0340583 | − | 0.0393054i | ||||
\(641\) | 1233.65 | − | 362.233i | 0.0760161 | − | 0.0223203i | −0.243503 | − | 0.969900i | \(-0.578297\pi\) |
0.319519 | + | 0.947580i | \(0.396479\pi\) | |||||||
\(642\) | 3160.64 | + | 6920.83i | 0.194300 | + | 0.425457i | ||||
\(643\) | 6293.67 | 0.386000 | 0.193000 | − | 0.981199i | \(-0.438178\pi\) | ||||
0.193000 | + | 0.981199i | \(0.438178\pi\) | |||||||
\(644\) | −7063.10 | − | 10840.5i | −0.432182 | − | 0.663318i | ||||
\(645\) | 16015.0 | 0.977661 | ||||||||
\(646\) | −4755.00 | − | 10412.0i | −0.289602 | − | 0.634141i | ||||
\(647\) | 1292.76 | − | 379.587i | 0.0785525 | − | 0.0230651i | −0.242220 | − | 0.970221i | \(-0.577876\pi\) |
0.320773 | + | 0.947156i | \(0.396057\pi\) | |||||||
\(648\) | −3772.49 | + | 4353.68i | −0.228700 | + | 0.263933i | ||||
\(649\) | 4568.01 | + | 2935.68i | 0.276287 | + | 0.177559i | ||||
\(650\) | 162.176 | + | 187.161i | 0.00978627 | + | 0.0112940i | ||||
\(651\) | −1453.19 | − | 10107.1i | −0.0874882 | − | 0.608494i | ||||
\(652\) | −13218.8 | − | 3881.40i | −0.794003 | − | 0.233140i | ||||
\(653\) | 3216.56 | − | 2067.15i | 0.192762 | − | 0.123881i | −0.440700 | − | 0.897654i | \(-0.645270\pi\) |
0.633462 | + | 0.773774i | \(0.281633\pi\) | |||||||
\(654\) | −1251.73 | + | 8706.01i | −0.0748421 | + | 0.520538i | ||||
\(655\) | 7467.33 | − | 16351.2i | 0.445454 | − | 0.975409i | ||||
\(656\) | 2224.78 | − | 4871.59i | 0.132413 | − | 0.289945i | ||||
\(657\) | −28.0561 | + | 195.134i | −0.00166602 | + | 0.0115874i | ||||
\(658\) | 19183.1 | − | 12328.2i | 1.13653 | − | 0.730402i | ||||
\(659\) | −3227.79 | − | 947.763i | −0.190799 | − | 0.0560237i | 0.184937 | − | 0.982750i | \(-0.440792\pi\) |
−0.375736 | + | 0.926727i | \(0.622610\pi\) | |||||||
\(660\) | 299.035 | + | 2079.83i | 0.0176362 | + | 0.122663i | ||||
\(661\) | −17699.4 | − | 20426.2i | −1.04149 | − | 1.20195i | −0.978991 | − | 0.203904i | \(-0.934637\pi\) |
−0.0625035 | − | 0.998045i | \(-0.519908\pi\) | |||||||
\(662\) | 4840.08 | + | 3110.53i | 0.284162 | + | 0.182620i | ||||
\(663\) | 251.132 | − | 289.821i | 0.0147106 | − | 0.0169770i | ||||
\(664\) | 1697.52 | − | 498.435i | 0.0992114 | − | 0.0291311i | ||||
\(665\) | −9359.40 | − | 20494.2i | −0.545778 | − | 1.19509i | ||||
\(666\) | 133.626 | 0.00777465 | ||||||||
\(667\) | 4000.10 | + | 13314.1i | 0.232211 | + | 0.772898i | ||||
\(668\) | 6929.39 | 0.401356 | ||||||||
\(669\) | 12621.7 | + | 27637.6i | 0.729419 | + | 1.59721i | ||||
\(670\) | −10008.4 | + | 2938.74i | −0.577104 | + | 0.169453i | ||||
\(671\) | −671.006 | + | 774.382i | −0.0386049 | + | 0.0445525i | ||||
\(672\) | 4077.12 | + | 2620.21i | 0.234045 | + | 0.150412i | ||||
\(673\) | −3484.20 | − | 4020.98i | −0.199563 | − | 0.230308i | 0.647143 | − | 0.762368i | \(-0.275963\pi\) |
−0.846707 | + | 0.532060i | \(0.821418\pi\) | |||||||
\(674\) | 1610.70 | + | 11202.7i | 0.0920504 | + | 0.640225i | ||||
\(675\) | −11066.2 | − | 3249.34i | −0.631022 | − | 0.185285i | ||||
\(676\) | −7385.21 | + | 4746.19i | −0.420187 | + | 0.270038i | ||||
\(677\) | 815.674 | − | 5673.14i | 0.0463056 | − | 0.322063i | −0.953482 | − | 0.301450i | \(-0.902529\pi\) |
0.999788 | − | 0.0206125i | \(-0.00656162\pi\) | |||||||
\(678\) | −4231.59 | + | 9265.90i | −0.239695 | + | 0.524859i | ||||
\(679\) | −18673.5 | + | 40889.2i | −1.05541 | + | 2.31102i | ||||
\(680\) | 367.039 | − | 2552.81i | 0.0206990 | − | 0.143965i | ||||
\(681\) | −17007.2 | + | 10929.8i | −0.956998 | + | 0.615025i | ||||
\(682\) | 2000.32 | + | 587.346i | 0.112311 | + | 0.0329775i | ||||
\(683\) | −958.461 | − | 6666.24i | −0.0536962 | − | 0.373465i | −0.998896 | − | 0.0469732i | \(-0.985042\pi\) |
0.945200 | − | 0.326492i | \(-0.105867\pi\) | |||||||
\(684\) | 99.7114 | + | 115.073i | 0.00557392 | + | 0.00643265i | ||||
\(685\) | 1636.06 | + | 1051.43i | 0.0912564 | + | 0.0586469i | ||||
\(686\) | −6680.21 | + | 7709.37i | −0.371795 | + | 0.429074i | ||||
\(687\) | −2087.05 | + | 612.812i | −0.115904 | + | 0.0340324i | ||||
\(688\) | 3132.94 | + | 6860.18i | 0.173608 | + | 0.380148i | ||||
\(689\) | −459.952 | −0.0254322 | ||||||||
\(690\) | −2066.64 | + | 7204.95i | −0.114023 | + | 0.397519i | ||||
\(691\) | 28099.8 | 1.54699 | 0.773493 | − | 0.633804i | \(-0.218508\pi\) | ||||
0.773493 | + | 0.633804i | \(0.218508\pi\) | |||||||
\(692\) | 395.501 | + | 866.027i | 0.0217265 | + | 0.0475743i | ||||
\(693\) | 141.789 | − | 41.6330i | 0.00777217 | − | 0.00228212i | ||||
\(694\) | −4190.88 | + | 4836.54i | −0.229227 | + | 0.264542i | ||||
\(695\) | −7467.72 | − | 4799.22i | −0.407578 | − | 0.261935i | ||||
\(696\) | −3410.11 | − | 3935.48i | −0.185718 | − | 0.214331i | ||||
\(697\) | −2334.39 | − | 16236.1i | −0.126860 | − | 0.882331i | ||||
\(698\) | −3339.99 | − | 980.711i | −0.181118 | − | 0.0531812i | ||||
\(699\) | −15854.3 | + | 10189.0i | −0.857892 | + | 0.551333i | ||||
\(700\) | −1364.21 | + | 9488.28i | −0.0736604 | + | 0.512319i | ||||
\(701\) | 4518.18 | − | 9893.44i | 0.243437 | − | 0.533053i | −0.747991 | − | 0.663709i | \(-0.768981\pi\) |
0.991428 | + | 0.130656i | \(0.0417084\pi\) | |||||||
\(702\) | −177.665 | + | 389.032i | −0.00955203 | + | 0.0209160i | ||||
\(703\) | −3407.04 | + | 23696.5i | −0.182786 | + | 1.27131i | ||||
\(704\) | −832.415 | + | 534.961i | −0.0445637 | + | 0.0286393i | ||||
\(705\) | −12675.1 | − | 3721.74i | −0.677121 | − | 0.198821i | ||||
\(706\) | 515.159 | + | 3583.01i | 0.0274621 | + | 0.191003i | ||||
\(707\) | 19280.9 | + | 22251.4i | 1.02565 | + | 1.18366i | ||||
\(708\) | −6103.78 | − | 3922.66i | −0.324003 | − | 0.208224i | ||||
\(709\) | 6430.86 | − | 7421.60i | 0.340643 | − | 0.393123i | −0.559419 | − | 0.828885i | \(-0.688976\pi\) |
0.900062 | + | 0.435762i | \(0.143521\pi\) | |||||||
\(710\) | 12473.6 | − | 3662.58i | 0.659331 | − | 0.193597i | ||||
\(711\) | −163.019 | − | 356.961i | −0.00859869 | − | 0.0188285i | ||||
\(712\) | −8029.17 | −0.422621 | ||||||||
\(713\) | 5650.75 | + | 4834.78i | 0.296805 | + | 0.253946i | ||||
\(714\) | 14843.8 | 0.778033 | ||||||||
\(715\) | 64.0204 | + | 140.185i | 0.00334857 | + | 0.00733234i | ||||
\(716\) | 10353.0 | − | 3039.91i | 0.540376 | − | 0.158669i | ||||
\(717\) | 4807.71 | − | 5548.39i | 0.250415 | − | 0.288994i | ||||
\(718\) | 2942.15 | + | 1890.81i | 0.152925 | + | 0.0982789i | ||||
\(719\) | 8092.21 | + | 9338.90i | 0.419733 | + | 0.484398i | 0.925756 | − | 0.378122i | \(-0.123430\pi\) |
−0.506022 | + | 0.862520i | \(0.668885\pi\) | |||||||
\(720\) | 4.88247 | + | 33.9583i | 0.000252721 | + | 0.00175771i | ||||
\(721\) | −7083.29 | − | 2079.84i | −0.365875 | − | 0.107430i | ||||
\(722\) | −11408.3 | + | 7331.70i | −0.588053 | + | 0.377919i | ||||
\(723\) | −2769.87 | + | 19264.8i | −0.142479 | + | 0.990964i | ||||
\(724\) | 4364.63 | − | 9557.20i | 0.224047 | − | 0.490595i | ||||
\(725\) | 4278.65 | − | 9368.93i | 0.219179 | − | 0.479936i | ||||
\(726\) | −1605.21 | + | 11164.5i | −0.0820593 | + | 0.570735i | ||||
\(727\) | 10945.8 | − | 7034.43i | 0.558400 | − | 0.358862i | −0.230797 | − | 0.973002i | \(-0.574133\pi\) |
0.789197 | + | 0.614140i | \(0.210497\pi\) | |||||||
\(728\) | 341.062 | + | 100.145i | 0.0173635 | + | 0.00509837i | ||||
\(729\) | −2834.18 | − | 19712.1i | −0.143991 | − | 1.00148i | ||||
\(730\) | −5211.40 | − | 6014.27i | −0.264223 | − | 0.304929i | ||||
\(731\) | 19431.9 | + | 12488.1i | 0.983193 | + | 0.631860i | ||||
\(732\) | 896.599 | − | 1034.73i | 0.0452722 | − | 0.0522469i | ||||
\(733\) | 9417.23 | − | 2765.15i | 0.474534 | − | 0.139336i | −0.0357158 | − | 0.999362i | \(-0.511371\pi\) |
0.510250 | + | 0.860026i | \(0.329553\pi\) | |||||||
\(734\) | −229.552 | − | 502.649i | −0.0115435 | − | 0.0252767i | ||||
\(735\) | 17563.5 | 0.881415 | ||||||||
\(736\) | −3490.59 | + | 524.203i | −0.174816 | + | 0.0262532i | ||||
\(737\) | 12257.3 | 0.612621 | ||||||||
\(738\) | 90.6427 | + | 198.480i | 0.00452115 | + | 0.00989993i | ||||
\(739\) | −17992.8 | + | 5283.16i | −0.895637 | + | 0.262983i | −0.696984 | − | 0.717087i | \(-0.745475\pi\) |
−0.198653 | + | 0.980070i | \(0.563657\pi\) | |||||||
\(740\) | −3532.40 | + | 4076.60i | −0.175478 | + | 0.202512i | ||||
\(741\) | −768.849 | − | 494.109i | −0.0381166 | − | 0.0244960i | ||||
\(742\) | −11658.8 | − | 13455.0i | −0.576830 | − | 0.665697i | ||||
\(743\) | −3134.73 | − | 21802.5i | −0.154781 | − | 1.07652i | −0.908065 | − | 0.418828i | \(-0.862441\pi\) |
0.753285 | − | 0.657694i | \(-0.228468\pi\) | |||||||
\(744\) | −2672.83 | − | 784.813i | −0.131708 | − | 0.0386729i | ||||
\(745\) | −11702.7 | + | 7520.87i | −0.575508 | + | 0.369857i | ||||
\(746\) | −1314.61 | + | 9143.33i | −0.0645193 | + | 0.448741i | ||||
\(747\) | −29.9433 | + | 65.5667i | −0.00146662 | + | 0.00321146i | ||||
\(748\) | −1258.96 | + | 2756.75i | −0.0615405 | + | 0.134755i | ||||
\(749\) | −3073.97 | + | 21379.9i | −0.149961 | + | 1.04300i | ||||
\(750\) | 11817.4 | − | 7594.58i | 0.575347 | − | 0.369753i | ||||
\(751\) | 29351.7 | + | 8618.45i | 1.42618 | + | 0.418764i | 0.901590 | − | 0.432592i | \(-0.142401\pi\) |
0.524589 | + | 0.851356i | \(0.324219\pi\) | |||||||
\(752\) | −885.320 | − | 6157.54i | −0.0429312 | − | 0.298593i | ||||
\(753\) | 12424.1 | + | 14338.2i | 0.601273 | + | 0.693906i | ||||
\(754\) | −321.301 | − | 206.487i | −0.0155187 | − | 0.00997325i | ||||
\(755\) | 4458.13 | − | 5144.96i | 0.214898 | − | 0.248005i | ||||
\(756\) | −15883.8 | + | 4663.89i | −0.764136 | + | 0.224371i | ||||
\(757\) | 8389.64 | + | 18370.8i | 0.402809 | + | 0.882030i | 0.996978 | + | 0.0776889i | \(0.0247541\pi\) |
−0.594168 | + | 0.804341i | \(0.702519\pi\) | |||||||
\(758\) | 7991.57 | 0.382938 | ||||||||
\(759\) | 4715.38 | − | 7439.30i | 0.225504 | − | 0.355770i | ||||
\(760\) | −6146.44 | −0.293362 | ||||||||
\(761\) | −12545.5 | − | 27470.9i | −0.597603 | − | 1.30857i | −0.930737 | − | 0.365688i | \(-0.880834\pi\) |
0.333134 | − | 0.942879i | \(-0.391894\pi\) | |||||||
\(762\) | 10061.6 | − | 2954.34i | 0.478336 | − | 0.140452i | ||||
\(763\) | −16351.9 | + | 18871.1i | −0.775857 | + | 0.895387i | ||||
\(764\) | 16978.8 | + | 10911.6i | 0.804021 | + | 0.516713i | ||||
\(765\) | 68.8108 | + | 79.4120i | 0.00325211 | + | 0.00375313i | ||||
\(766\) | −2658.19 | − | 18488.1i | −0.125384 | − | 0.872067i | ||||
\(767\) | −510.597 | − | 149.925i | −0.0240373 | − | 0.00705799i | ||||
\(768\) | 1112.27 | − | 714.815i | 0.0522600 | − | 0.0335855i | ||||
\(769\) | −2106.14 | + | 14648.6i | −0.0987640 | + | 0.686919i | 0.878940 | + | 0.476932i | \(0.158251\pi\) |
−0.977704 | + | 0.209987i | \(0.932658\pi\) | |||||||
\(770\) | −2478.05 | + | 5426.18i | −0.115978 | + | 0.253956i | ||||
\(771\) | −3380.55 | + | 7402.37i | −0.157909 | + | 0.345771i | ||||
\(772\) | 2624.89 | − | 18256.5i | 0.122373 | − | 0.851123i | ||||
\(773\) | 34098.4 | − | 21913.7i | 1.58659 | − | 1.01964i | 0.613362 | − | 0.789802i | \(-0.289817\pi\) |
0.973229 | − | 0.229838i | \(-0.0738196\pi\) | |||||||
\(774\) | −294.820 | − | 86.5670i | −0.0136913 | − | 0.00402014i | ||||
\(775\) | −784.122 | − | 5453.69i | −0.0363438 | − | 0.252777i | ||||
\(776\) | 8030.63 | + | 9267.84i | 0.371499 | + | 0.428732i | ||||
\(777\) | −26117.4 | − | 16784.6i | −1.20586 | − | 0.774962i | ||||
\(778\) | −2274.90 | + | 2625.37i | −0.104832 | + | 0.120982i | ||||
\(779\) | −37508.3 | + | 11013.4i | −1.72513 | + | 0.506543i | ||||
\(780\) | −85.5441 | − | 187.315i | −0.00392688 | − | 0.00859868i | ||||
\(781\) | −15276.3 | −0.699910 | ||||||||
\(782\) | −8125.81 | + | 7130.64i | −0.371583 | + | 0.326075i | ||||
\(783\) | 17787.1 | 0.811825 | ||||||||
\(784\) | 3435.86 | + | 7523.48i | 0.156517 | + | 0.342724i | ||||
\(785\) | −5997.81 | + | 1761.12i | −0.272702 | + | 0.0800725i | ||||
\(786\) | 18483.0 | − | 21330.5i | 0.838762 | − | 0.967983i | ||||
\(787\) | −10111.5 | − | 6498.26i | −0.457987 | − | 0.294330i | 0.291232 | − | 0.956652i | \(-0.405935\pi\) |
−0.749219 | + | 0.662322i | \(0.769571\pi\) | |||||||
\(788\) | 5897.66 | + | 6806.27i | 0.266619 | + | 0.307694i | ||||
\(789\) | −4306.97 | − | 29955.6i | −0.194337 | − | 1.35165i | ||||
\(790\) | 15199.3 | + | 4462.93i | 0.684517 | + | 0.200992i | ||||
\(791\) | −24328.0 | + | 15634.6i | −1.09356 | + | 0.702786i | ||||
\(792\) | 5.73732 | − | 39.9039i | 0.000257407 | − | 0.00179031i | ||||
\(793\) | 41.7154 | − | 91.3440i | 0.00186804 | − | 0.00409044i | ||||
\(794\) | −12593.1 | + | 27575.1i | −0.562864 | + | 1.23250i | ||||
\(795\) | −1467.81 | + | 10208.9i | −0.0654818 | + | 0.455436i | ||||
\(796\) | 4150.29 | − | 2667.23i | 0.184803 | − | 0.118766i | ||||
\(797\) | 22703.6 | + | 6666.37i | 1.00904 | + | 0.296280i | 0.744159 | − | 0.668003i | \(-0.232851\pi\) |
0.264877 | + | 0.964282i | \(0.414669\pi\) | |||||||
\(798\) | −5034.51 | − | 35015.8i | −0.223333 | − | 1.55331i | ||||
\(799\) | −12477.2 | − | 14399.5i | −0.552456 | − | 0.637568i | ||||
\(800\) | 2199.96 | + | 1413.83i | 0.0972256 | + | 0.0624831i | ||||
\(801\) | 214.223 | − | 247.226i | 0.00944967 | − | 0.0109055i | ||||
\(802\) | 6045.13 | − | 1775.01i | 0.266161 | − | 0.0781518i | ||||
\(803\) | 3884.69 | + | 8506.29i | 0.170720 | + | 0.373824i | ||||
\(804\) | −16378.2 | −0.718424 | ||||||||
\(805\) | −15994.2 | + | 14035.4i | −0.700277 | + | 0.614514i | ||||
\(806\) | −204.312 | −0.00892876 | ||||||||
\(807\) | −6333.56 | − | 13868.6i | −0.276272 | − | 0.604952i | ||||
\(808\) | 7706.87 | − | 2262.94i | 0.335553 | − | 0.0985273i | ||||
\(809\) | 5240.19 | − | 6047.50i | 0.227732 | − | 0.262817i | −0.630371 | − | 0.776294i | \(-0.717097\pi\) |
0.858103 | + | 0.513477i | \(0.171643\pi\) | |||||||
\(810\) | 7970.39 | + | 5122.26i | 0.345742 | + | 0.222195i | ||||
\(811\) | 14661.9 | + | 16920.7i | 0.634832 | + | 0.732635i | 0.978452 | − | 0.206474i | \(-0.0661989\pi\) |
−0.343621 | + | 0.939109i | \(0.611653\pi\) | |||||||
\(812\) | −2103.91 | − | 14633.0i | −0.0909271 | − | 0.632412i | ||||
\(813\) | −26024.1 | − | 7641.37i | −1.12264 | − | 0.329636i | ||||
\(814\) | 5332.32 | − | 3426.88i | 0.229604 | − | 0.147558i | ||||
\(815\) | −3224.60 | + | 22427.6i | −0.138592 | + | 0.963931i | ||||
\(816\) | 1682.23 | − | 3683.57i | 0.0721689 | − | 0.158028i | ||||
\(817\) | 22868.2 | − | 50074.4i | 0.979262 | − | 2.14428i | ||||
\(818\) | 1505.95 | − | 10474.1i | 0.0643694 | − | 0.447699i | ||||
\(819\) | −12.1833 | + | 7.82972i | −0.000519802 | + | 0.000334057i | ||||
\(820\) | −8451.25 | − | 2481.51i | −0.359915 | − | 0.105681i | ||||
\(821\) | 2803.05 | + | 19495.7i | 0.119156 | + | 0.828750i | 0.958489 | + | 0.285131i | \(0.0920372\pi\) |
−0.839332 | + | 0.543619i | \(0.817054\pi\) | |||||||
\(822\) | 1999.69 | + | 2307.76i | 0.0848504 | + | 0.0979226i | ||||
\(823\) | −25615.3 | − | 16462.0i | −1.08492 | − | 0.697239i | −0.129235 | − | 0.991614i | \(-0.541252\pi\) |
−0.955690 | + | 0.294375i | \(0.904888\pi\) | |||||||
\(824\) | −1318.86 | + | 1522.05i | −0.0557583 | + | 0.0643485i | ||||
\(825\) | −6261.21 | + | 1838.46i | −0.264227 | + | 0.0775840i | ||||
\(826\) | −8556.80 | − | 18736.8i | −0.360447 | − | 0.789269i | ||||
\(827\) | −23879.6 | −1.00408 | −0.502040 | − | 0.864845i | \(-0.667417\pi\) | ||||
−0.502040 | + | 0.864845i | \(0.667417\pi\) | |||||||
\(828\) | 76.9901 | − | 121.465i | 0.00323139 | − | 0.00509806i | ||||
\(829\) | −31900.3 | −1.33648 | −0.668241 | − | 0.743945i | \(-0.732952\pi\) | ||||
−0.668241 | + | 0.743945i | \(0.732952\pi\) | |||||||
\(830\) | −1208.73 | − | 2646.74i | −0.0505488 | − | 0.110686i | ||||
\(831\) | 957.506 | − | 281.149i | 0.0399705 | − | 0.0117364i | ||||
\(832\) | 63.5036 | − | 73.2871i | 0.00264614 | − | 0.00305381i | ||||
\(833\) | 21310.7 | + | 13695.6i | 0.886403 | + | 0.569657i | ||||
\(834\) | −9127.49 | − | 10533.7i | −0.378968 | − | 0.437352i | ||||
\(835\) | −1621.88 | − | 11280.4i | −0.0672185 | − | 0.467515i | ||||
\(836\) | 6930.03 | + | 2034.84i | 0.286699 | + | 0.0841823i | ||||
\(837\) | 8004.62 | − | 5144.26i | 0.330562 | − | 0.212439i | ||||
\(838\) | −1459.05 | + | 10147.9i | −0.0601458 | + | 0.418323i | ||||
\(839\) | −1322.59 | + | 2896.08i | −0.0544232 | + | 0.119170i | −0.934890 | − | 0.354938i | \(-0.884502\pi\) |
0.880467 | + | 0.474108i | \(0.157229\pi\) | |||||||
\(840\) | 3311.18 | − | 7250.47i | 0.136008 | − | 0.297815i | ||||
\(841\) | 1210.33 | − | 8418.04i | 0.0496261 | − | 0.345157i | ||||
\(842\) | 11248.5 | − | 7228.96i | 0.460390 | − | 0.295874i | ||||
\(843\) | −11364.4 | − | 3336.89i | −0.464307 | − | 0.136333i | ||||
\(844\) | −1342.29 | − | 9335.82i | −0.0547434 | − | 0.380749i | ||||
\(845\) | 9454.94 | + | 10911.6i | 0.384923 | + | 0.444225i | ||||
\(846\) | 213.217 | + | 137.027i | 0.00866497 | + | 0.00556864i | ||||
\(847\) | −20969.5 | + | 24200.1i | −0.850675 | + | 0.981731i | ||||
\(848\) | −4660.20 | + | 1368.36i | −0.188717 | + | 0.0554123i | ||||
\(849\) | −2549.39 | − | 5582.38i | −0.103056 | − | 0.225662i | ||||
\(850\) | 8009.53 | 0.323206 | ||||||||
\(851\) | 22360.2 | − | 3357.97i | 0.900702 | − | 0.135264i | ||||
\(852\) | 20412.2 | 0.820788 | ||||||||
\(853\) | 8903.16 | + | 19495.2i | 0.357372 | + | 0.782536i | 0.999868 | + | 0.0162465i | \(0.00517165\pi\) |
−0.642496 | + | 0.766289i | \(0.722101\pi\) | |||||||
\(854\) | 3729.48 | − | 1095.07i | 0.149438 | − | 0.0438790i | ||||
\(855\) | 163.990 | − | 189.255i | 0.00655948 | − | 0.00757004i | ||||
\(856\) | 4957.18 | + | 3185.79i | 0.197936 | + | 0.127206i | ||||
\(857\) | 3586.54 | + | 4139.09i | 0.142957 | + | 0.164981i | 0.822712 | − | 0.568458i | \(-0.192460\pi\) |
−0.679756 | + | 0.733438i | \(0.737914\pi\) | |||||||
\(858\) | 34.4371 | + | 239.516i | 0.00137024 | + | 0.00953022i | ||||
\(859\) | −25525.1 | − | 7494.84i | −1.01386 | − | 0.297696i | −0.267727 | − | 0.963495i | \(-0.586273\pi\) |
−0.746131 | + | 0.665799i | \(0.768091\pi\) | |||||||
\(860\) | 10434.5 | − | 6705.82i | 0.413735 | − | 0.265892i | ||||
\(861\) | 7214.59 | − | 50178.6i | 0.285566 | − | 1.98616i | ||||
\(862\) | −2428.21 | + | 5317.04i | −0.0959457 | + | 0.210092i | ||||
\(863\) | 19196.8 | − | 42035.1i | 0.757202 | − | 1.65804i | 0.00422892 | − | 0.999991i | \(-0.498654\pi\) |
0.752973 | − | 0.658051i | \(-0.228619\pi\) | |||||||
\(864\) | −642.717 | + | 4470.20i | −0.0253075 | + | 0.176018i | ||||
\(865\) | 1317.25 | − | 846.542i | 0.0517777 | − | 0.0332755i | ||||
\(866\) | −24864.6 | − | 7300.92i | −0.975676 | − | 0.286484i | ||||
\(867\) | 1846.01 | + | 12839.3i | 0.0723110 | + | 0.502934i | ||||
\(868\) | −5178.87 | − | 5976.74i | −0.202514 | − | 0.233714i | ||||
\(869\) | −15659.5 | − | 10063.8i | −0.611293 | − | 0.392854i | ||||
\(870\) | −5608.45 | + | 6472.49i | −0.218557 | + | 0.252228i | ||||
\(871\) | −1152.58 | + | 338.428i | −0.0448378 | + | 0.0131656i | ||||
\(872\) | 2829.83 | + | 6196.45i | 0.109897 | + | 0.240640i | ||||
\(873\) | −499.628 | −0.0193698 | ||||||||
\(874\) | 19576.8 | + | 16749.9i | 0.757660 | + | 0.648254i | ||||
\(875\) | 39879.7 | 1.54078 | ||||||||
\(876\) | −5190.73 | − | 11366.1i | −0.200204 | − | 0.438385i | ||||
\(877\) | −33032.8 | + | 9699.31i | −1.27188 | + | 0.373458i | −0.846903 | − | 0.531747i | \(-0.821536\pi\) |
−0.424976 | + | 0.905204i | \(0.639718\pi\) | |||||||
\(878\) | 6819.45 | − | 7870.06i | 0.262124 | − | 0.302508i | ||||
\(879\) | 9721.31 | + | 6247.50i | 0.373028 | + | 0.239730i | ||||
\(880\) | 1065.70 | + | 1229.89i | 0.0408236 | + | 0.0471130i | ||||
\(881\) | 4850.59 | + | 33736.6i | 0.185494 | + | 1.29014i | 0.843500 | + | 0.537128i | \(0.180491\pi\) |
−0.658006 | + | 0.753012i | \(0.728600\pi\) | |||||||
\(882\) | −323.326 | − | 94.9371i | −0.0123435 | − | 0.00362437i | ||||
\(883\) | 22691.2 | − | 14582.8i | 0.864803 | − | 0.555775i | −0.0313560 | − | 0.999508i | \(-0.509983\pi\) |
0.896159 | + | 0.443733i | \(0.146346\pi\) | |||||||
\(884\) | 42.2686 | − | 293.985i | 0.00160820 | − | 0.0111853i | ||||
\(885\) | −4957.10 | + | 10854.5i | −0.188284 | + | 0.412284i | ||||
\(886\) | −6263.27 | + | 13714.7i | −0.237493 | + | 0.520037i | ||||
\(887\) | 1745.16 | − | 12137.8i | 0.0660617 | − | 0.459469i | −0.929761 | − | 0.368163i | \(-0.879987\pi\) |
0.995823 | − | 0.0913059i | \(-0.0291041\pi\) | |||||||
\(888\) | −7125.05 | + | 4578.99i | −0.269258 | + | 0.173042i | ||||
\(889\) | 28564.2 | + | 8387.22i | 1.07763 | + | 0.316421i | ||||
\(890\) | 1879.29 | + | 13070.8i | 0.0707798 | + | 0.492285i | ||||
\(891\) | −7290.73 | − | 8413.95i | −0.274128 | − | 0.316361i | ||||
\(892\) | 19796.0 | + | 12722.1i | 0.743069 | + | 0.477541i | ||||
\(893\) | −29735.8 | + | 34316.9i | −1.11430 | + | 1.28597i | ||||
\(894\) | −20957.6 | + | 6153.71i | −0.784035 | + | 0.230213i | ||||
\(895\) | −7371.90 | − | 16142.2i | −0.275325 | − | 0.602877i | ||||
\(896\) | 3753.55 | 0.139952 | ||||||||
\(897\) | −237.997 | + | 829.730i | −0.00885896 | + | 0.0308850i | ||||
\(898\) | −30955.8 | −1.15034 | ||||||||
\(899\) | 3529.90 | + | 7729.40i | 0.130955 | + | 0.286752i | ||||
\(900\) | −102.230 | + | 30.0173i | −0.00378628 | + | 0.00111175i | ||||
\(901\) | −9741.60 | + | 11242.4i | −0.360199 | + | 0.415692i | ||||
\(902\) | 8707.13 | + | 5595.73i | 0.321414 | + | 0.206560i | ||||
\(903\) | 46749.3 | + | 53951.6i | 1.72283 | + | 1.98826i | ||||
\(904\) | 1122.76 | + | 7808.98i | 0.0413081 | + | 0.287304i | ||||
\(905\) | −16579.8 | − | 4868.28i | −0.608986 | − | 0.178815i | ||||
\(906\) | 8992.31 | − | 5779.01i | 0.329746 | − | 0.211915i | ||||
\(907\) | −6236.19 | + | 43373.7i | −0.228301 | + | 1.58787i | 0.476960 | + | 0.878925i | \(0.341739\pi\) |
−0.705262 | + | 0.708947i | \(0.749171\pi\) | |||||||
\(908\) | −6504.33 | + | 14242.5i | −0.237724 | + | 0.520544i | ||||
\(909\) | −135.945 | + | 297.679i | −0.00496042 | + | 0.0108618i | ||||
\(910\) | 83.1985 | − | 578.658i | 0.00303077 | − | 0.0210795i | ||||
\(911\) | 14065.3 | − | 9039.23i | 0.511531 | − | 0.328741i | −0.259283 | − | 0.965801i | \(-0.583486\pi\) |
0.770814 | + | 0.637060i | \(0.219850\pi\) | |||||||
\(912\) | −9259.91 | − | 2718.95i | −0.336213 | − | 0.0987210i | ||||
\(913\) | 486.592 | + | 3384.32i | 0.0176384 | + | 0.122678i | ||||
\(914\) | 2535.61 | + | 2926.25i | 0.0917619 | + | 0.105899i | ||||
\(915\) | −1894.30 | − | 1217.40i | −0.0684413 | − | 0.0439846i | ||||
\(916\) | −1103.20 | + | 1273.16i | −0.0397934 | + | 0.0459241i | ||||
\(917\) | 76881.7 | − | 22574.5i | 2.76866 | − | 0.812951i | ||||
\(918\) | 5746.06 | + | 12582.1i | 0.206589 | + | 0.452366i | ||||
\(919\) | 12870.1 | 0.461963 | 0.230982 | − | 0.972958i | \(-0.425806\pi\) | ||||
0.230982 | + | 0.972958i | \(0.425806\pi\) | |||||||
\(920\) | 1670.36 | + | 5559.68i | 0.0598588 | + | 0.199236i | ||||
\(921\) | −25652.7 | −0.917792 | ||||||||
\(922\) | −451.537 | − | 988.727i | −0.0161286 | − | 0.0353167i | ||||
\(923\) | 1436.47 | − | 421.786i | 0.0512265 | − | 0.0150414i | ||||
\(924\) | −6133.64 | + | 7078.60i | −0.218379 | + | 0.252023i | ||||
\(925\) | −14092.6 | − | 9056.79i | −0.500933 | − | 0.321930i | ||||
\(926\) | 10816.4 | + | 12482.8i | 0.383854 | + | 0.442991i | ||||
\(927\) | −11.6774 | − | 81.2183i | −0.000413740 | − | 0.00287763i | ||||
\(928\) | −3869.70 | − | 1136.25i | −0.136885 | − | 0.0401930i | ||||
\(929\) | −2364.14 | + | 1519.34i | −0.0834928 | + | 0.0536575i | −0.581721 | − | 0.813388i | \(-0.697620\pi\) |
0.498228 | + | 0.867046i | \(0.333984\pi\) | |||||||
\(930\) | −652.008 | + | 4534.82i | −0.0229894 | + | 0.159895i | ||||
\(931\) | 25079.3 | − | 54916.0i | 0.882858 | − | 1.93319i | ||||
\(932\) | −6063.44 | + | 13277.1i | −0.213106 | + | 0.466636i | ||||
\(933\) | 2020.49 | − | 14052.8i | 0.0708979 | − | 0.493106i | ||||
\(934\) | 1319.62 | − | 848.070i | 0.0462306 | − | 0.0297106i | ||||
\(935\) | 4782.41 | + | 1404.24i | 0.167274 | + | 0.0491162i | ||||
\(936\) | 0.562271 | + | 3.91068i | 1.96350e−5 | + | 0.000136565i | ||||
\(937\) | 25460.2 | + | 29382.6i | 0.887671 | + | 1.02443i | 0.999529 | + | 0.0307032i | \(0.00977467\pi\) |
−0.111857 | + | 0.993724i | \(0.535680\pi\) | |||||||
\(938\) | −39115.5 | − | 25138.0i | −1.36159 | − | 0.875038i | ||||
\(939\) | −21818.6 | + | 25180.0i | −0.758279 | + | 0.875101i | ||||
\(940\) | −9816.70 | + | 2882.44i | −0.340623 | + | 0.100016i | ||||
\(941\) | 21050.0 | + | 46093.2i | 0.729237 | + | 1.59681i | 0.800489 | + | 0.599347i | \(0.204573\pi\) |
−0.0712528 | + | 0.997458i | \(0.522700\pi\) | |||||||
\(942\) | −9815.03 | −0.339481 | ||||||||
\(943\) | 20155.3 | + | 30934.6i | 0.696019 | + | 1.06826i | ||||
\(944\) | −5619.37 | −0.193744 | ||||||||
\(945\) | 11310.1 | + | 24765.7i | 0.389332 | + | 0.852518i | ||||
\(946\) | −13984.7 | + | 4106.29i | −0.480637 | + | 0.141128i | ||||
\(947\) | 33644.6 | − | 38828.0i | 1.15449 | − | 1.33235i | 0.220362 | − | 0.975418i | \(-0.429276\pi\) |
0.934129 | − | 0.356935i | \(-0.116178\pi\) | |||||||
\(948\) | 20924.3 | + | 13447.2i | 0.716866 | + | 0.460702i | ||||
\(949\) | −600.150 | − | 692.610i | −0.0205287 | − | 0.0236913i | ||||
\(950\) | −2716.56 | − | 18894.1i | −0.0927756 | − | 0.645268i | ||||
\(951\) | −29886.9 | − | 8775.59i | −1.01908 | − | 0.299230i | ||||
\(952\) | 9671.36 | − | 6215.40i | 0.329255 | − | 0.211599i | ||||
\(953\) | 4873.51 | − | 33896.0i | 0.165654 | − | 1.15215i | −0.722085 | − | 0.691804i | \(-0.756816\pi\) |
0.887740 | − | 0.460346i | \(-0.152275\pi\) | |||||||
\(954\) | 82.2035 | − | 180.001i | 0.00278977 | − | 0.00610874i | ||||
\(955\) | 13789.1 | − | 30193.9i | 0.467231 | − | 1.02309i | ||||
\(956\) | 809.198 | − | 5628.10i | 0.0273759 | − | 0.190403i | ||||
\(957\) | 8466.23 | − | 5440.91i | 0.285971 | − | 0.183782i | ||||
\(958\) | −29559.7 | − | 8679.51i | −0.996900 | − | 0.292716i | ||||
\(959\) | 1233.73 | + | 8580.79i | 0.0415425 | + | 0.288934i | ||||
\(960\) | −1423.99 | − | 1643.37i | −0.0478741 | − | 0.0552496i | ||||
\(961\) | −21237.8 | − | 13648.7i | −0.712893 | − | 0.458149i | ||||
\(962\) | −406.795 | + | 469.466i | −0.0136337 | + | 0.0157341i | ||||
\(963\) | −230.354 | + | 67.6380i | −0.00770825 | + | 0.00226335i | ||||
\(964\) | 6261.90 | + | 13711.7i | 0.209214 | + | 0.458115i | ||||
\(965\) | −30334.4 | −1.01191 | ||||||||
\(966\) | −30304.8 | + | 14069.8i | −1.00936 | + | 0.468621i | ||||
\(967\) | −33721.9 | −1.12143 | −0.560715 | − | 0.828009i | \(-0.689474\pi\) | ||||
−0.560715 | + | 0.828009i | \(0.689474\pi\) | |||||||
\(968\) | 3628.94 | + | 7946.27i | 0.120494 | + | 0.263846i | ||||
\(969\) | −28361.2 | + | 8327.61i | −0.940241 | + | 0.276080i | ||||
\(970\) | 13207.6 | − | 15242.4i | 0.437186 | − | 0.504539i | ||||
\(971\) | −38881.6 | − | 24987.7i | −1.28504 | − | 0.825843i | −0.293536 | − | 0.955948i | \(-0.594832\pi\) |
−0.991500 | + | 0.130105i | \(0.958469\pi\) | |||||||
\(972\) | −239.550 | − | 276.456i | −0.00790491 | − | 0.00912275i | ||||
\(973\) | −5631.31 | − | 39166.7i | −0.185541 | − | 1.29047i | ||||
\(974\) | 23353.5 | + | 6857.21i | 0.768269 | + | 0.225584i | ||||
\(975\) | 537.997 | − | 345.750i | 0.0176715 | − | 0.0113568i | ||||
\(976\) | 150.909 | − | 1049.59i | 0.00494926 | − | 0.0344228i | ||||
\(977\) | −16516.5 | + | 36166.1i | −0.540849 | + | 1.18429i | 0.420077 | + | 0.907488i | \(0.362003\pi\) |
−0.960926 | + | 0.276805i | \(0.910724\pi\) | |||||||
\(978\) | −14779.1 | + | 32361.8i | −0.483215 | + | 1.05809i | ||||
\(979\) | 2208.33 | − | 15359.3i | 0.0720924 | − | 0.501414i | ||||
\(980\) | 11443.4 | − | 7354.21i | 0.373005 | − | 0.239716i | ||||
\(981\) | −266.296 | − | 78.1916i | −0.00866685 | − | 0.00254482i | ||||
\(982\) | −2710.57 | − | 18852.5i | −0.0880834 | − | 0.612633i | ||||
\(983\) | 20793.8 | + | 23997.3i | 0.674689 | + | 0.778633i | 0.985102 | − | 0.171969i | \(-0.0550129\pi\) |
−0.310413 | + | 0.950602i | \(0.600467\pi\) | |||||||
\(984\) | −11634.5 | − | 7477.02i | −0.376924 | − | 0.242234i | ||||
\(985\) | 9699.60 | − | 11193.9i | 0.313761 | − | 0.362100i | ||||
\(986\) | −11852.1 | + | 3480.09i | −0.382807 | + | 0.112402i | ||||
\(987\) | −24461.8 | − | 53563.9i | −0.788884 | − | 1.72741i | ||||
\(988\) | −707.831 | −0.0227926 | ||||||||
\(989\) | −51508.7 | − | 7076.88i | −1.65610 | − | 0.227535i | ||||
\(990\) | −66.3029 | −0.00212853 | ||||||||
\(991\) | −10728.1 | − | 23491.4i | −0.343886 | − | 0.753004i | 0.656113 | − | 0.754663i | \(-0.272199\pi\) |
−0.999999 | + | 0.00165824i | \(0.999472\pi\) | |||||||
\(992\) | −2070.08 | + | 607.829i | −0.0662550 | + | 0.0194542i | ||||
\(993\) | 9729.46 | − | 11228.4i | 0.310932 | − | 0.358834i | ||||
\(994\) | 48750.0 | + | 31329.7i | 1.55559 | + | 0.999717i | ||||
\(995\) | −5313.43 | − | 6132.02i | −0.169293 | − | 0.195375i | ||||
\(996\) | −650.185 | − | 4522.13i | −0.0206846 | − | 0.143865i | ||||
\(997\) | 58853.8 | + | 17281.0i | 1.86953 | + | 0.548943i | 0.998314 | + | 0.0580359i | \(0.0184838\pi\) |
0.871212 | + | 0.490907i | \(0.163334\pi\) | |||||||
\(998\) | −10556.5 | + | 6784.26i | −0.334830 | + | 0.215182i | ||||
\(999\) | 4117.15 | − | 28635.4i | 0.130391 | − | 0.906891i |
(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 | 46.4.c.b.27.1 | ✓ | 30 | |
23.6 | even | 11 | inner | 46.4.c.b.29.1 | yes | 30 | |
23.11 | odd | 22 | 1058.4.a.t.1.11 | 15 | |||
23.12 | even | 11 | 1058.4.a.u.1.11 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
46.4.c.b.27.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
46.4.c.b.29.1 | yes | 30 | 23.6 | even | 11 | inner | |
1058.4.a.t.1.11 | 15 | 23.11 | odd | 22 | |||
1058.4.a.u.1.11 | 15 | 23.12 | even | 11 |