Properties

Label 36.5.f.a.7.6
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.6
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.73046 - 2.92312i) q^{2} +(8.98168 - 0.573987i) q^{3} +(-1.08921 + 15.9629i) q^{4} +(19.5394 + 33.8433i) q^{5} +(-26.2019 - 24.6872i) q^{6} +(-10.5700 - 6.10260i) q^{7} +(49.6354 - 40.4021i) q^{8} +(80.3411 - 10.3107i) q^{9} +O(q^{10})\) \(q+(-2.73046 - 2.92312i) q^{2} +(8.98168 - 0.573987i) q^{3} +(-1.08921 + 15.9629i) q^{4} +(19.5394 + 33.8433i) q^{5} +(-26.2019 - 24.6872i) q^{6} +(-10.5700 - 6.10260i) q^{7} +(49.6354 - 40.4021i) q^{8} +(80.3411 - 10.3107i) q^{9} +(45.5763 - 149.524i) q^{10} +(96.1446 + 55.5091i) q^{11} +(-0.620447 + 143.999i) q^{12} +(-104.491 - 180.984i) q^{13} +(11.0224 + 47.5603i) q^{14} +(194.923 + 292.754i) q^{15} +(-253.627 - 34.7739i) q^{16} +93.3790 q^{17} +(-249.507 - 206.693i) q^{18} +26.8894i q^{19} +(-561.519 + 275.043i) q^{20} +(-98.4393 - 48.7446i) q^{21} +(-100.259 - 432.607i) q^{22} +(-757.577 + 437.387i) q^{23} +(422.619 - 391.368i) q^{24} +(-451.080 + 781.293i) q^{25} +(-243.728 + 799.608i) q^{26} +(715.679 - 138.723i) q^{27} +(108.928 - 162.081i) q^{28} +(650.809 - 1127.23i) q^{29} +(323.527 - 1369.13i) q^{30} +(593.492 - 342.653i) q^{31} +(590.870 + 836.330i) q^{32} +(895.401 + 443.379i) q^{33} +(-254.967 - 272.958i) q^{34} -476.966i q^{35} +(77.0808 + 1293.71i) q^{36} -1760.25 q^{37} +(78.6008 - 73.4203i) q^{38} +(-1042.39 - 1565.56i) q^{39} +(2337.19 + 890.392i) q^{40} +(-39.0421 - 67.6229i) q^{41} +(126.298 + 420.844i) q^{42} +(-1405.46 - 811.442i) q^{43} +(-990.807 + 1474.28i) q^{44} +(1918.77 + 2517.54i) q^{45} +(3347.06 + 1020.22i) q^{46} +(-1999.54 - 1154.43i) q^{47} +(-2297.96 - 166.749i) q^{48} +(-1126.02 - 1950.32i) q^{49} +(3515.46 - 814.729i) q^{50} +(838.700 - 53.5984i) q^{51} +(3002.84 - 1470.85i) q^{52} -1313.48 q^{53} +(-2359.63 - 1713.24i) q^{54} +4338.47i q^{55} +(-771.205 + 124.146i) q^{56} +(15.4342 + 241.512i) q^{57} +(-5072.04 + 1175.47i) q^{58} +(4818.38 - 2781.89i) q^{59} +(-4885.52 + 2792.66i) q^{60} +(-1090.13 + 1888.16i) q^{61} +(-2622.12 - 799.247i) q^{62} +(-912.129 - 381.305i) q^{63} +(831.345 - 4010.75i) q^{64} +(4083.39 - 7072.65i) q^{65} +(-1148.81 - 3827.99i) q^{66} +(-213.077 + 123.020i) q^{67} +(-101.709 + 1490.60i) q^{68} +(-6553.25 + 4363.31i) q^{69} +(-1394.23 + 1302.33i) q^{70} +4608.15i q^{71} +(3571.19 - 3757.72i) q^{72} +2564.79 q^{73} +(4806.29 + 5145.42i) q^{74} +(-3603.00 + 7276.24i) q^{75} +(-429.232 - 29.2882i) q^{76} +(-677.500 - 1173.46i) q^{77} +(-1730.12 + 7321.72i) q^{78} +(4486.29 + 2590.16i) q^{79} +(-3778.87 - 9263.05i) q^{80} +(6348.38 - 1656.75i) q^{81} +(-91.0669 + 298.766i) q^{82} +(-1622.37 - 936.677i) q^{83} +(885.325 - 1518.28i) q^{84} +(1824.57 + 3160.25i) q^{85} +(1465.61 + 6323.93i) q^{86} +(5198.34 - 10498.0i) q^{87} +(7014.86 - 1129.22i) q^{88} -1167.17 q^{89} +(2119.95 - 12482.8i) q^{90} +2550.67i q^{91} +(-6156.80 - 12569.5i) q^{92} +(5133.87 - 3418.25i) q^{93} +(2085.11 + 8997.00i) q^{94} +(-910.026 + 525.404i) q^{95} +(5787.05 + 7172.50i) q^{96} +(2869.58 - 4970.26i) q^{97} +(-2626.47 + 8616.73i) q^{98} +(8296.70 + 3468.34i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.73046 2.92312i −0.682614 0.730779i
\(3\) 8.98168 0.573987i 0.997964 0.0637764i
\(4\) −1.08921 + 15.9629i −0.0680757 + 0.997680i
\(5\) 19.5394 + 33.8433i 0.781578 + 1.35373i 0.931022 + 0.364962i \(0.118918\pi\)
−0.149444 + 0.988770i \(0.547749\pi\)
\(6\) −26.2019 24.6872i −0.727831 0.685757i
\(7\) −10.5700 6.10260i −0.215715 0.124543i 0.388250 0.921554i \(-0.373080\pi\)
−0.603964 + 0.797011i \(0.706413\pi\)
\(8\) 49.6354 40.4021i 0.775553 0.631282i
\(9\) 80.3411 10.3107i 0.991865 0.127293i
\(10\) 45.5763 149.524i 0.455763 1.49524i
\(11\) 96.1446 + 55.5091i 0.794583 + 0.458753i 0.841574 0.540142i \(-0.181630\pi\)
−0.0469902 + 0.998895i \(0.514963\pi\)
\(12\) −0.620447 + 143.999i −0.00430866 + 0.999991i
\(13\) −104.491 180.984i −0.618290 1.07091i −0.989798 0.142480i \(-0.954492\pi\)
0.371507 0.928430i \(-0.378841\pi\)
\(14\) 11.0224 + 47.5603i 0.0562366 + 0.242654i
\(15\) 194.923 + 292.754i 0.866323 + 1.30113i
\(16\) −253.627 34.7739i −0.990731 0.135835i
\(17\) 93.3790 0.323111 0.161555 0.986864i \(-0.448349\pi\)
0.161555 + 0.986864i \(0.448349\pi\)
\(18\) −249.507 206.693i −0.770084 0.637942i
\(19\) 26.8894i 0.0744859i 0.999306 + 0.0372429i \(0.0118575\pi\)
−0.999306 + 0.0372429i \(0.988142\pi\)
\(20\) −561.519 + 275.043i −1.40380 + 0.687608i
\(21\) −98.4393 48.7446i −0.223218 0.110532i
\(22\) −100.259 432.607i −0.207147 0.893816i
\(23\) −757.577 + 437.387i −1.43209 + 0.826819i −0.997280 0.0737029i \(-0.976518\pi\)
−0.434812 + 0.900521i \(0.643185\pi\)
\(24\) 422.619 391.368i 0.733713 0.679459i
\(25\) −451.080 + 781.293i −0.721728 + 1.25007i
\(26\) −243.728 + 799.608i −0.360545 + 1.18285i
\(27\) 715.679 138.723i 0.981728 0.190292i
\(28\) 108.928 162.081i 0.138939 0.206736i
\(29\) 650.809 1127.23i 0.773851 1.34035i −0.161587 0.986858i \(-0.551661\pi\)
0.935438 0.353491i \(-0.115005\pi\)
\(30\) 323.527 1369.13i 0.359474 1.52126i
\(31\) 593.492 342.653i 0.617577 0.356558i −0.158348 0.987383i \(-0.550617\pi\)
0.775925 + 0.630825i \(0.217283\pi\)
\(32\) 590.870 + 836.330i 0.577022 + 0.816729i
\(33\) 895.401 + 443.379i 0.822223 + 0.407143i
\(34\) −254.967 272.958i −0.220560 0.236122i
\(35\) 476.966i 0.389360i
\(36\) 77.0808 + 1293.71i 0.0594759 + 0.998230i
\(37\) −1760.25 −1.28579 −0.642897 0.765953i \(-0.722268\pi\)
−0.642897 + 0.765953i \(0.722268\pi\)
\(38\) 78.6008 73.4203i 0.0544327 0.0508451i
\(39\) −1042.39 1565.56i −0.685330 1.02930i
\(40\) 2337.19 + 890.392i 1.46074 + 0.556495i
\(41\) −39.0421 67.6229i −0.0232255 0.0402278i 0.854179 0.519979i \(-0.174060\pi\)
−0.877405 + 0.479751i \(0.840727\pi\)
\(42\) 126.298 + 420.844i 0.0715977 + 0.238574i
\(43\) −1405.46 811.442i −0.760118 0.438855i 0.0692198 0.997601i \(-0.477949\pi\)
−0.829338 + 0.558747i \(0.811282\pi\)
\(44\) −990.807 + 1474.28i −0.511780 + 0.761510i
\(45\) 1918.77 + 2517.54i 0.947541 + 1.24323i
\(46\) 3347.06 + 1020.22i 1.58179 + 0.482144i
\(47\) −1999.54 1154.43i −0.905177 0.522604i −0.0263007 0.999654i \(-0.508373\pi\)
−0.878876 + 0.477050i \(0.841706\pi\)
\(48\) −2297.96 166.749i −0.997378 0.0723737i
\(49\) −1126.02 1950.32i −0.468978 0.812294i
\(50\) 3515.46 814.729i 1.40619 0.325892i
\(51\) 838.700 53.5984i 0.322453 0.0206068i
\(52\) 3002.84 1470.85i 1.11052 0.543953i
\(53\) −1313.48 −0.467598 −0.233799 0.972285i \(-0.575116\pi\)
−0.233799 + 0.972285i \(0.575116\pi\)
\(54\) −2359.63 1713.24i −0.809202 0.587530i
\(55\) 4338.47i 1.43420i
\(56\) −771.205 + 124.146i −0.245920 + 0.0395872i
\(57\) 15.4342 + 241.512i 0.00475044 + 0.0743342i
\(58\) −5072.04 + 1175.47i −1.50774 + 0.349427i
\(59\) 4818.38 2781.89i 1.38419 0.799164i 0.391540 0.920161i \(-0.371942\pi\)
0.992653 + 0.120997i \(0.0386091\pi\)
\(60\) −4885.52 + 2792.66i −1.35709 + 0.775738i
\(61\) −1090.13 + 1888.16i −0.292967 + 0.507433i −0.974510 0.224345i \(-0.927976\pi\)
0.681543 + 0.731778i \(0.261309\pi\)
\(62\) −2622.12 799.247i −0.682132 0.207921i
\(63\) −912.129 381.305i −0.229813 0.0960708i
\(64\) 831.345 4010.75i 0.202965 0.979186i
\(65\) 4083.39 7072.65i 0.966484 1.67400i
\(66\) −1148.81 3827.99i −0.263730 0.878785i
\(67\) −213.077 + 123.020i −0.0474665 + 0.0274048i −0.523545 0.851998i \(-0.675391\pi\)
0.476079 + 0.879403i \(0.342058\pi\)
\(68\) −101.709 + 1490.60i −0.0219960 + 0.322361i
\(69\) −6553.25 + 4363.31i −1.37644 + 0.916469i
\(70\) −1394.23 + 1302.33i −0.284536 + 0.265783i
\(71\) 4608.15i 0.914134i 0.889432 + 0.457067i \(0.151100\pi\)
−0.889432 + 0.457067i \(0.848900\pi\)
\(72\) 3571.19 3757.72i 0.688886 0.724870i
\(73\) 2564.79 0.481290 0.240645 0.970613i \(-0.422641\pi\)
0.240645 + 0.970613i \(0.422641\pi\)
\(74\) 4806.29 + 5145.42i 0.877701 + 0.939631i
\(75\) −3603.00 + 7276.24i −0.640534 + 1.29355i
\(76\) −429.232 29.2882i −0.0743131 0.00507067i
\(77\) −677.500 1173.46i −0.114269 0.197919i
\(78\) −1730.12 + 7321.72i −0.284373 + 1.20344i
\(79\) 4486.29 + 2590.16i 0.718842 + 0.415023i 0.814326 0.580408i \(-0.197107\pi\)
−0.0954846 + 0.995431i \(0.530440\pi\)
\(80\) −3778.87 9263.05i −0.590449 1.44735i
\(81\) 6348.38 1656.75i 0.967593 0.252515i
\(82\) −91.0669 + 298.766i −0.0135436 + 0.0444328i
\(83\) −1622.37 936.677i −0.235502 0.135967i 0.377606 0.925966i \(-0.376747\pi\)
−0.613108 + 0.789999i \(0.710081\pi\)
\(84\) 885.325 1518.28i 0.125471 0.215176i
\(85\) 1824.57 + 3160.25i 0.252536 + 0.437405i
\(86\) 1465.61 + 6323.93i 0.198162 + 0.855047i
\(87\) 5198.34 10498.0i 0.686793 1.38697i
\(88\) 7014.86 1129.22i 0.905844 0.145819i
\(89\) −1167.17 −0.147352 −0.0736759 0.997282i \(-0.523473\pi\)
−0.0736759 + 0.997282i \(0.523473\pi\)
\(90\) 2119.95 12482.8i 0.261722 1.54109i
\(91\) 2550.67i 0.308015i
\(92\) −6156.80 12569.5i −0.727410 1.48506i
\(93\) 5133.87 3418.25i 0.593580 0.395219i
\(94\) 2085.11 + 8997.00i 0.235979 + 1.01822i
\(95\) −910.026 + 525.404i −0.100834 + 0.0582165i
\(96\) 5787.05 + 7172.50i 0.627935 + 0.778266i
\(97\) 2869.58 4970.26i 0.304983 0.528245i −0.672275 0.740302i \(-0.734683\pi\)
0.977257 + 0.212056i \(0.0680160\pi\)
\(98\) −2626.47 + 8616.73i −0.273476 + 0.897203i
\(99\) 8296.70 + 3468.34i 0.846516 + 0.353876i
\(100\) −11980.4 8051.53i −1.19804 0.805153i
\(101\) −7793.37 + 13498.5i −0.763981 + 1.32325i 0.176802 + 0.984246i \(0.443425\pi\)
−0.940783 + 0.339008i \(0.889909\pi\)
\(102\) −2446.71 2305.27i −0.235170 0.221575i
\(103\) 9636.52 5563.65i 0.908334 0.524427i 0.0284395 0.999596i \(-0.490946\pi\)
0.879895 + 0.475168i \(0.157613\pi\)
\(104\) −12498.6 4761.55i −1.15556 0.440232i
\(105\) −273.772 4283.95i −0.0248320 0.388567i
\(106\) 3586.41 + 3839.46i 0.319189 + 0.341711i
\(107\) 4464.91i 0.389983i 0.980805 + 0.194991i \(0.0624679\pi\)
−0.980805 + 0.194991i \(0.937532\pi\)
\(108\) 1434.89 + 11575.4i 0.123018 + 0.992404i
\(109\) −4736.05 −0.398624 −0.199312 0.979936i \(-0.563871\pi\)
−0.199312 + 0.979936i \(0.563871\pi\)
\(110\) 12681.8 11846.0i 1.04809 0.979008i
\(111\) −15810.0 + 1010.36i −1.28318 + 0.0820033i
\(112\) 2468.63 + 1915.35i 0.196798 + 0.152690i
\(113\) 9173.06 + 15888.2i 0.718385 + 1.24428i 0.961639 + 0.274317i \(0.0884519\pi\)
−0.243254 + 0.969963i \(0.578215\pi\)
\(114\) 663.825 704.554i 0.0510792 0.0542131i
\(115\) −29605.3 17092.6i −2.23858 1.29245i
\(116\) 17285.0 + 11616.6i 1.28456 + 0.863301i
\(117\) −10261.0 13463.1i −0.749580 0.983494i
\(118\) −21288.2 6488.84i −1.52888 0.466018i
\(119\) −987.017 569.855i −0.0696997 0.0402411i
\(120\) 21502.9 + 6655.70i 1.49326 + 0.462201i
\(121\) −1157.98 2005.68i −0.0790915 0.136990i
\(122\) 8495.85 1968.96i 0.570804 0.132287i
\(123\) −389.479 584.958i −0.0257438 0.0386647i
\(124\) 4823.29 + 9847.06i 0.313689 + 0.640417i
\(125\) −10831.1 −0.693190
\(126\) 1375.93 + 3707.40i 0.0866673 + 0.233522i
\(127\) 8169.42i 0.506505i −0.967400 0.253252i \(-0.918500\pi\)
0.967400 0.253252i \(-0.0815003\pi\)
\(128\) −13993.8 + 8521.05i −0.854115 + 0.520084i
\(129\) −13089.1 6481.40i −0.786560 0.389484i
\(130\) −31823.7 + 7375.32i −1.88306 + 0.436410i
\(131\) −9131.01 + 5271.79i −0.532079 + 0.307196i −0.741863 0.670552i \(-0.766057\pi\)
0.209784 + 0.977748i \(0.432724\pi\)
\(132\) −8052.89 + 13810.3i −0.462172 + 0.792599i
\(133\) 164.095 284.221i 0.00927669 0.0160677i
\(134\) 941.399 + 286.948i 0.0524281 + 0.0159806i
\(135\) 18678.8 + 21510.4i 1.02490 + 1.18027i
\(136\) 4634.90 3772.70i 0.250589 0.203974i
\(137\) −1612.85 + 2793.54i −0.0859318 + 0.148838i −0.905788 0.423731i \(-0.860720\pi\)
0.819856 + 0.572570i \(0.194053\pi\)
\(138\) 30647.8 + 7242.09i 1.60932 + 0.380282i
\(139\) 16276.4 9397.17i 0.842419 0.486371i −0.0156666 0.999877i \(-0.504987\pi\)
0.858086 + 0.513506i \(0.171654\pi\)
\(140\) 7613.75 + 519.516i 0.388457 + 0.0265059i
\(141\) −18621.8 9221.03i −0.936664 0.463811i
\(142\) 13470.2 12582.4i 0.668030 0.624001i
\(143\) 23200.8i 1.13457i
\(144\) −20735.2 178.687i −0.999963 0.00861724i
\(145\) 50865.8 2.41930
\(146\) −7003.05 7497.18i −0.328535 0.351716i
\(147\) −11233.0 16870.8i −0.519829 0.780731i
\(148\) 1917.28 28098.7i 0.0875313 1.28281i
\(149\) 3825.13 + 6625.31i 0.172295 + 0.298424i 0.939222 0.343311i \(-0.111548\pi\)
−0.766927 + 0.641735i \(0.778215\pi\)
\(150\) 31107.1 9335.47i 1.38254 0.414910i
\(151\) −974.974 562.901i −0.0427601 0.0246876i 0.478468 0.878105i \(-0.341192\pi\)
−0.521228 + 0.853418i \(0.674526\pi\)
\(152\) 1086.39 + 1334.67i 0.0470216 + 0.0577677i
\(153\) 7502.17 962.806i 0.320482 0.0411297i
\(154\) −1580.29 + 5184.51i −0.0666338 + 0.218608i
\(155\) 23193.0 + 13390.5i 0.965369 + 0.557356i
\(156\) 26126.3 14934.3i 1.07356 0.613670i
\(157\) 1755.81 + 3041.15i 0.0712326 + 0.123378i 0.899442 0.437041i \(-0.143973\pi\)
−0.828209 + 0.560419i \(0.810640\pi\)
\(158\) −4678.28 20186.3i −0.187401 0.808615i
\(159\) −11797.3 + 753.923i −0.466646 + 0.0298217i
\(160\) −16758.9 + 36338.4i −0.654645 + 1.41947i
\(161\) 10676.8 0.411898
\(162\) −22176.8 14033.4i −0.845025 0.534726i
\(163\) 41947.9i 1.57883i 0.613861 + 0.789414i \(0.289615\pi\)
−0.613861 + 0.789414i \(0.710385\pi\)
\(164\) 1121.98 549.569i 0.0417156 0.0204331i
\(165\) 2490.23 + 38966.7i 0.0914684 + 1.43128i
\(166\) 1691.80 + 7299.94i 0.0613951 + 0.264913i
\(167\) 5900.58 3406.70i 0.211574 0.122152i −0.390469 0.920616i \(-0.627687\pi\)
0.602043 + 0.798464i \(0.294354\pi\)
\(168\) −6855.46 + 1557.70i −0.242895 + 0.0551905i
\(169\) −7556.26 + 13087.8i −0.264566 + 0.458241i
\(170\) 4255.87 13962.4i 0.147262 0.483127i
\(171\) 277.250 + 2160.32i 0.00948153 + 0.0738799i
\(172\) 14483.8 21551.3i 0.489582 0.728480i
\(173\) −7874.16 + 13638.4i −0.263095 + 0.455693i −0.967063 0.254539i \(-0.918076\pi\)
0.703968 + 0.710232i \(0.251410\pi\)
\(174\) −44880.7 + 13469.0i −1.48239 + 0.444874i
\(175\) 9535.85 5505.52i 0.311375 0.179772i
\(176\) −22454.6 17421.9i −0.724904 0.562434i
\(177\) 41680.3 27751.7i 1.33041 0.885816i
\(178\) 3186.92 + 3411.79i 0.100584 + 0.107682i
\(179\) 22497.6i 0.702151i 0.936347 + 0.351075i \(0.114184\pi\)
−0.936347 + 0.351075i \(0.885816\pi\)
\(180\) −42277.2 + 27887.0i −1.30485 + 0.860709i
\(181\) −21847.2 −0.666867 −0.333434 0.942774i \(-0.608207\pi\)
−0.333434 + 0.942774i \(0.608207\pi\)
\(182\) 7455.90 6964.49i 0.225091 0.210255i
\(183\) −8707.40 + 17584.5i −0.260008 + 0.525084i
\(184\) −19931.3 + 52317.5i −0.588707 + 1.54530i
\(185\) −34394.3 59572.7i −1.00495 1.74062i
\(186\) −24009.8 5673.51i −0.694004 0.163993i
\(187\) 8977.88 + 5183.38i 0.256738 + 0.148228i
\(188\) 20606.0 30660.9i 0.583012 0.867500i
\(189\) −8411.31 2901.21i −0.235473 0.0812186i
\(190\) 4020.60 + 1225.52i 0.111374 + 0.0339479i
\(191\) 16182.1 + 9342.76i 0.443577 + 0.256099i 0.705114 0.709094i \(-0.250896\pi\)
−0.261537 + 0.965194i \(0.584229\pi\)
\(192\) 5164.76 36500.4i 0.140103 0.990137i
\(193\) −23049.7 39923.2i −0.618800 1.07179i −0.989705 0.143123i \(-0.954286\pi\)
0.370905 0.928671i \(-0.379048\pi\)
\(194\) −22363.9 + 5182.96i −0.594216 + 0.137713i
\(195\) 32616.1 65868.1i 0.857755 1.73223i
\(196\) 32359.2 15850.2i 0.842336 0.412593i
\(197\) 15934.7 0.410592 0.205296 0.978700i \(-0.434184\pi\)
0.205296 + 0.978700i \(0.434184\pi\)
\(198\) −12515.4 33722.4i −0.319238 0.860177i
\(199\) 73733.8i 1.86192i 0.365124 + 0.930959i \(0.381026\pi\)
−0.365124 + 0.930959i \(0.618974\pi\)
\(200\) 9176.34 + 57004.4i 0.229408 + 1.42511i
\(201\) −1843.18 + 1227.23i −0.0456221 + 0.0303762i
\(202\) 60737.2 14076.2i 1.48851 0.344971i
\(203\) −13758.1 + 7943.25i −0.333862 + 0.192755i
\(204\) −57.9367 + 13446.4i −0.00139217 + 0.323108i
\(205\) 1525.72 2642.63i 0.0363051 0.0628823i
\(206\) −42575.3 12977.4i −1.00328 0.305810i
\(207\) −56354.7 + 42951.3i −1.31519 + 1.00239i
\(208\) 20208.3 + 49536.0i 0.467092 + 1.14497i
\(209\) −1492.61 + 2585.27i −0.0341706 + 0.0591852i
\(210\) −11775.0 + 12497.4i −0.267006 + 0.283388i
\(211\) 15431.2 8909.20i 0.346605 0.200112i −0.316584 0.948564i \(-0.602536\pi\)
0.663189 + 0.748452i \(0.269203\pi\)
\(212\) 1430.66 20967.0i 0.0318321 0.466513i
\(213\) 2645.02 + 41388.9i 0.0583001 + 0.912273i
\(214\) 13051.4 12191.2i 0.284991 0.266208i
\(215\) 63420.5i 1.37200i
\(216\) 29918.4 35800.5i 0.641254 0.767329i
\(217\) −8364.29 −0.177627
\(218\) 12931.6 + 13844.0i 0.272106 + 0.291306i
\(219\) 23036.1 1472.16i 0.480310 0.0306949i
\(220\) −69254.5 4725.51i −1.43088 0.0976344i
\(221\) −9757.27 16900.1i −0.199776 0.346022i
\(222\) 46122.0 + 43455.7i 0.935840 + 0.881741i
\(223\) −58353.8 33690.6i −1.17344 0.677483i −0.218949 0.975736i \(-0.570263\pi\)
−0.954487 + 0.298253i \(0.903596\pi\)
\(224\) −1141.72 12445.9i −0.0227542 0.248044i
\(225\) −28184.5 + 67420.9i −0.556732 + 1.33177i
\(226\) 21396.4 70196.0i 0.418914 1.37434i
\(227\) −54381.5 31397.2i −1.05536 0.609310i −0.131212 0.991354i \(-0.541887\pi\)
−0.924144 + 0.382044i \(0.875220\pi\)
\(228\) −3872.04 16.6834i −0.0744852 0.000320934i
\(229\) 20463.2 + 35443.2i 0.390213 + 0.675868i 0.992477 0.122428i \(-0.0390681\pi\)
−0.602265 + 0.798297i \(0.705735\pi\)
\(230\) 30872.2 + 133210.i 0.583596 + 2.51815i
\(231\) −6758.64 10150.8i −0.126659 0.190229i
\(232\) −13239.4 82244.7i −0.245976 1.52803i
\(233\) 79254.5 1.45986 0.729932 0.683520i \(-0.239552\pi\)
0.729932 + 0.683520i \(0.239552\pi\)
\(234\) −11336.8 + 66754.4i −0.207043 + 1.21912i
\(235\) 90227.9i 1.63382i
\(236\) 39158.8 + 79945.2i 0.703080 + 1.43539i
\(237\) 41781.1 + 20688.9i 0.743847 + 0.368333i
\(238\) 1029.26 + 4441.13i 0.0181706 + 0.0784042i
\(239\) 39084.7 22565.5i 0.684243 0.395048i −0.117209 0.993107i \(-0.537395\pi\)
0.801452 + 0.598059i \(0.204061\pi\)
\(240\) −39257.5 81028.7i −0.681554 1.40675i
\(241\) −37826.8 + 65517.9i −0.651276 + 1.12804i 0.331537 + 0.943442i \(0.392433\pi\)
−0.982814 + 0.184601i \(0.940901\pi\)
\(242\) −2701.02 + 8861.32i −0.0461208 + 0.151310i
\(243\) 56068.1 18524.3i 0.949519 0.313711i
\(244\) −28953.1 19458.2i −0.486312 0.326831i
\(245\) 44003.5 76216.3i 0.733086 1.26974i
\(246\) −646.445 + 2735.69i −0.0106822 + 0.0452061i
\(247\) 4866.55 2809.70i 0.0797677 0.0460539i
\(248\) 15614.3 40986.0i 0.253875 0.666395i
\(249\) −15109.3 7481.71i −0.243694 0.120671i
\(250\) 29573.8 + 31660.6i 0.473182 + 0.506569i
\(251\) 78270.9i 1.24238i 0.783662 + 0.621188i \(0.213350\pi\)
−0.783662 + 0.621188i \(0.786650\pi\)
\(252\) 7080.23 14144.9i 0.111493 0.222740i
\(253\) −97115.9 −1.51722
\(254\) −23880.2 + 22306.2i −0.370143 + 0.345747i
\(255\) 18201.7 + 27337.1i 0.279918 + 0.420409i
\(256\) 63117.6 + 17639.2i 0.963097 + 0.269153i
\(257\) 11506.3 + 19929.5i 0.174209 + 0.301739i 0.939887 0.341485i \(-0.110930\pi\)
−0.765678 + 0.643224i \(0.777597\pi\)
\(258\) 16793.5 + 55958.2i 0.252290 + 0.840668i
\(259\) 18605.9 + 10742.1i 0.277365 + 0.160136i
\(260\) 108452. + 72886.4i 1.60432 + 1.07820i
\(261\) 40664.1 97273.5i 0.596939 1.42795i
\(262\) 40341.9 + 12296.6i 0.587697 + 0.179136i
\(263\) −75237.8 43438.5i −1.08774 0.628006i −0.154765 0.987951i \(-0.549462\pi\)
−0.932973 + 0.359945i \(0.882795\pi\)
\(264\) 62357.0 14168.8i 0.894700 0.203294i
\(265\) −25664.7 44452.6i −0.365464 0.633003i
\(266\) −1278.87 + 296.385i −0.0180743 + 0.00418883i
\(267\) −10483.2 + 669.943i −0.147052 + 0.00939757i
\(268\) −1731.67 3535.32i −0.0241099 0.0492220i
\(269\) −54083.3 −0.747409 −0.373705 0.927548i \(-0.621913\pi\)
−0.373705 + 0.927548i \(0.621913\pi\)
\(270\) 11875.7 113334.i 0.162904 1.55464i
\(271\) 47957.3i 0.653004i −0.945197 0.326502i \(-0.894130\pi\)
0.945197 0.326502i \(-0.105870\pi\)
\(272\) −23683.5 3247.15i −0.320116 0.0438899i
\(273\) 1464.05 + 22909.3i 0.0196441 + 0.307388i
\(274\) 12569.7 2913.09i 0.167426 0.0388019i
\(275\) −86737.8 + 50078.1i −1.14695 + 0.662190i
\(276\) −62513.1 109361.i −0.820641 1.43564i
\(277\) 36861.8 63846.5i 0.480415 0.832103i −0.519332 0.854572i \(-0.673819\pi\)
0.999748 + 0.0224689i \(0.00715269\pi\)
\(278\) −71911.0 21919.2i −0.930477 0.283618i
\(279\) 44148.8 33648.4i 0.567166 0.432271i
\(280\) −19270.4 23674.4i −0.245796 0.301969i
\(281\) −28062.0 + 48604.7i −0.355390 + 0.615554i −0.987185 0.159582i \(-0.948985\pi\)
0.631795 + 0.775136i \(0.282319\pi\)
\(282\) 23891.9 + 79611.4i 0.300437 + 1.00110i
\(283\) −132300. + 76383.2i −1.65191 + 0.953730i −0.675621 + 0.737249i \(0.736124\pi\)
−0.976287 + 0.216481i \(0.930542\pi\)
\(284\) −73559.3 5019.25i −0.912013 0.0622303i
\(285\) −7871.99 + 5241.35i −0.0969158 + 0.0645288i
\(286\) −67818.7 + 63348.8i −0.829120 + 0.774474i
\(287\) 953.034i 0.0115703i
\(288\) 56094.3 + 61099.4i 0.676292 + 0.736634i
\(289\) −74801.4 −0.895600
\(290\) −138887. 148687.i −1.65145 1.76797i
\(291\) 22920.8 46288.4i 0.270672 0.546620i
\(292\) −2793.60 + 40941.5i −0.0327641 + 0.480173i
\(293\) 19420.1 + 33636.7i 0.226213 + 0.391812i 0.956683 0.291133i \(-0.0940322\pi\)
−0.730470 + 0.682945i \(0.760699\pi\)
\(294\) −18644.2 + 78900.3i −0.215699 + 0.912818i
\(295\) 188297. + 108713.i 2.16371 + 1.24922i
\(296\) −87370.8 + 71117.8i −0.997201 + 0.811699i
\(297\) 76509.1 + 26389.3i 0.867361 + 0.299168i
\(298\) 8922.21 29271.4i 0.100471 0.329618i
\(299\) 158320. + 91406.1i 1.77090 + 1.02243i
\(300\) −112225. 65439.7i −1.24695 0.727107i
\(301\) 9903.82 + 17153.9i 0.109312 + 0.189335i
\(302\) 1016.70 + 4386.94i 0.0111475 + 0.0481003i
\(303\) −62249.6 + 125713.i −0.678034 + 1.36928i
\(304\) 935.049 6819.88i 0.0101178 0.0737955i
\(305\) −85202.0 −0.915905
\(306\) −23298.7 19300.8i −0.248822 0.206126i
\(307\) 457.528i 0.00485446i −0.999997 0.00242723i \(-0.999227\pi\)
0.999997 0.00242723i \(-0.000772612\pi\)
\(308\) 19469.8 9536.70i 0.205239 0.100530i
\(309\) 83358.6 55502.1i 0.873039 0.581290i
\(310\) −24185.5 104358.i −0.251671 1.08593i
\(311\) −9285.82 + 5361.17i −0.0960062 + 0.0554292i −0.547234 0.836979i \(-0.684319\pi\)
0.451228 + 0.892409i \(0.350986\pi\)
\(312\) −114991. 35592.7i −1.18129 0.365638i
\(313\) −8976.10 + 15547.1i −0.0916218 + 0.158694i −0.908194 0.418550i \(-0.862538\pi\)
0.816572 + 0.577244i \(0.195872\pi\)
\(314\) 4095.48 13436.2i 0.0415380 0.136275i
\(315\) −4917.87 38320.0i −0.0495628 0.386193i
\(316\) −46232.9 + 68792.9i −0.462996 + 0.688921i
\(317\) 30685.9 53149.6i 0.305366 0.528909i −0.671977 0.740572i \(-0.734555\pi\)
0.977343 + 0.211663i \(0.0678879\pi\)
\(318\) 34415.8 + 32426.3i 0.340332 + 0.320659i
\(319\) 125143. 72251.6i 1.22978 0.710013i
\(320\) 151981. 50232.3i 1.48419 0.490550i
\(321\) 2562.80 + 40102.4i 0.0248717 + 0.389189i
\(322\) −29152.5 31209.5i −0.281167 0.301006i
\(323\) 2510.90i 0.0240672i
\(324\) 19531.8 + 103143.i 0.186060 + 0.982538i
\(325\) 188535. 1.78495
\(326\) 122619. 114537.i 1.15377 1.07773i
\(327\) −42537.7 + 2718.43i −0.397812 + 0.0254228i
\(328\) −4669.98 1779.11i −0.0434077 0.0165369i
\(329\) 14090.1 + 24404.7i 0.130173 + 0.225467i
\(330\) 107105. 113676.i 0.983515 1.04386i
\(331\) −160993. 92949.3i −1.46944 0.848379i −0.470023 0.882654i \(-0.655755\pi\)
−0.999412 + 0.0342747i \(0.989088\pi\)
\(332\) 16719.2 24877.5i 0.151684 0.225700i
\(333\) −141420. + 18149.5i −1.27533 + 0.163673i
\(334\) −26069.4 7946.22i −0.233689 0.0712308i
\(335\) −8326.81 4807.49i −0.0741975 0.0428379i
\(336\) 23271.9 + 15786.1i 0.206135 + 0.139828i
\(337\) 73998.8 + 128170.i 0.651576 + 1.12856i 0.982741 + 0.184989i \(0.0592251\pi\)
−0.331165 + 0.943573i \(0.607442\pi\)
\(338\) 58889.3 13647.9i 0.515469 0.119463i
\(339\) 91509.1 + 137438.i 0.796279 + 1.19593i
\(340\) −52434.1 + 25683.3i −0.453582 + 0.222174i
\(341\) 76081.3 0.654289
\(342\) 5557.86 6709.10i 0.0475177 0.0573604i
\(343\) 56791.2i 0.482717i
\(344\) −102544. + 16507.2i −0.866553 + 0.139494i
\(345\) −275716. 136527.i −2.31645 1.14705i
\(346\) 61366.8 14222.1i 0.512603 0.118799i
\(347\) 125556. 72490.0i 1.04275 0.602031i 0.122138 0.992513i \(-0.461025\pi\)
0.920611 + 0.390482i \(0.127692\pi\)
\(348\) 161916. + 94415.0i 1.33700 + 0.779619i
\(349\) 89475.8 154977.i 0.734606 1.27238i −0.220290 0.975435i \(-0.570700\pi\)
0.954896 0.296941i \(-0.0959664\pi\)
\(350\) −42130.5 12841.8i −0.343922 0.104831i
\(351\) −99888.6 115031.i −0.810778 0.933687i
\(352\) 10385.0 + 113207.i 0.0838150 + 0.913670i
\(353\) −13197.7 + 22859.1i −0.105913 + 0.183446i −0.914111 0.405465i \(-0.867110\pi\)
0.808198 + 0.588911i \(0.200443\pi\)
\(354\) −194928. 46061.5i −1.55549 0.367563i
\(355\) −155955. + 90040.7i −1.23749 + 0.714467i
\(356\) 1271.30 18631.5i 0.0100311 0.147010i
\(357\) −9192.16 4551.72i −0.0721242 0.0357140i
\(358\) 65763.1 61428.8i 0.513117 0.479298i
\(359\) 181364.i 1.40722i −0.710587 0.703609i \(-0.751571\pi\)
0.710587 0.703609i \(-0.248429\pi\)
\(360\) 196953. + 47436.9i 1.51970 + 0.366026i
\(361\) 129598. 0.994452
\(362\) 59652.9 + 63862.0i 0.455213 + 0.487333i
\(363\) −11551.8 17349.7i −0.0876672 0.131667i
\(364\) −40716.0 2778.22i −0.307300 0.0209683i
\(365\) 50114.6 + 86801.1i 0.376165 + 0.651537i
\(366\) 75176.8 22561.1i 0.561206 0.168422i
\(367\) 181000. + 104500.i 1.34383 + 0.775863i 0.987368 0.158445i \(-0.0506481\pi\)
0.356467 + 0.934308i \(0.383981\pi\)
\(368\) 207352. 84589.4i 1.53113 0.624626i
\(369\) −3833.93 5030.35i −0.0281573 0.0369441i
\(370\) −80225.8 + 263199.i −0.586017 + 1.92257i
\(371\) 13883.5 + 8015.67i 0.100868 + 0.0582360i
\(372\) 48973.3 + 85674.6i 0.353894 + 0.619108i
\(373\) 38298.0 + 66334.0i 0.275269 + 0.476781i 0.970203 0.242293i \(-0.0778996\pi\)
−0.694934 + 0.719074i \(0.744566\pi\)
\(374\) −9362.09 40396.4i −0.0669314 0.288801i
\(375\) −97281.4 + 6216.91i −0.691779 + 0.0442092i
\(376\) −145889. + 23484.7i −1.03192 + 0.166115i
\(377\) −272015. −1.91386
\(378\) 14486.2 + 32508.9i 0.101384 + 0.227519i
\(379\) 232118.i 1.61596i −0.589211 0.807979i \(-0.700561\pi\)
0.589211 0.807979i \(-0.299439\pi\)
\(380\) −7395.75 15098.9i −0.0512171 0.104563i
\(381\) −4689.14 73375.1i −0.0323030 0.505474i
\(382\) −16874.7 72812.3i −0.115640 0.498974i
\(383\) 74119.1 42792.7i 0.505280 0.291724i −0.225611 0.974217i \(-0.572438\pi\)
0.730891 + 0.682494i \(0.239105\pi\)
\(384\) −120797. + 84565.6i −0.819207 + 0.573497i
\(385\) 26476.0 45857.7i 0.178620 0.309379i
\(386\) −53764.1 + 176386.i −0.360842 + 1.18383i
\(387\) −121283. 50700.8i −0.809798 0.338527i
\(388\) 76214.1 + 51220.4i 0.506258 + 0.340236i
\(389\) −60869.2 + 105429.i −0.402252 + 0.696721i −0.993997 0.109404i \(-0.965106\pi\)
0.591745 + 0.806125i \(0.298439\pi\)
\(390\) −281597. + 84509.2i −1.85139 + 0.555616i
\(391\) −70741.7 + 40842.8i −0.462724 + 0.267154i
\(392\) −134687. 51311.4i −0.876504 0.333919i
\(393\) −78985.8 + 52590.6i −0.511404 + 0.340505i
\(394\) −43508.9 46578.9i −0.280276 0.300052i
\(395\) 202441.i 1.29749i
\(396\) −64401.5 + 128661.i −0.410682 + 0.820462i
\(397\) −71690.8 −0.454865 −0.227432 0.973794i \(-0.573033\pi\)
−0.227432 + 0.973794i \(0.573033\pi\)
\(398\) 215532. 201327.i 1.36065 1.27097i
\(399\) 1310.71 2646.97i 0.00823306 0.0166266i
\(400\) 141575. 182471.i 0.884842 1.14045i
\(401\) 43140.3 + 74721.1i 0.268283 + 0.464681i 0.968419 0.249330i \(-0.0802103\pi\)
−0.700135 + 0.714010i \(0.746877\pi\)
\(402\) 8620.05 + 2036.92i 0.0533406 + 0.0126044i
\(403\) −124029. 71608.3i −0.763684 0.440913i
\(404\) −206987. 139107.i −1.26818 0.852291i
\(405\) 180114. + 182478.i 1.09809 + 1.11250i
\(406\) 60785.0 + 18527.9i 0.368761 + 0.112402i
\(407\) −169239. 97710.0i −1.02167 0.589862i
\(408\) 39463.7 36545.6i 0.237071 0.219540i
\(409\) −115231. 199585.i −0.688844 1.19311i −0.972212 0.234102i \(-0.924785\pi\)
0.283368 0.959011i \(-0.408548\pi\)
\(410\) −11890.6 + 2755.72i −0.0707355 + 0.0163933i
\(411\) −12882.7 + 26016.5i −0.0762645 + 0.154016i
\(412\) 78315.6 + 159887.i 0.461375 + 0.941928i
\(413\) −67907.1 −0.398121
\(414\) 279426. + 47454.7i 1.63029 + 0.276872i
\(415\) 73208.6i 0.425075i
\(416\) 89621.6 194327.i 0.517876 1.12291i
\(417\) 140795. 93744.8i 0.809685 0.539107i
\(418\) 11632.5 2695.91i 0.0665767 0.0154295i
\(419\) 48172.3 27812.3i 0.274391 0.158420i −0.356491 0.934299i \(-0.616027\pi\)
0.630881 + 0.775879i \(0.282693\pi\)
\(420\) 68682.5 + 295.932i 0.389356 + 0.00167762i
\(421\) −70485.7 + 122085.i −0.397683 + 0.688807i −0.993440 0.114358i \(-0.963519\pi\)
0.595757 + 0.803165i \(0.296852\pi\)
\(422\) −68176.8 20781.0i −0.382835 0.116692i
\(423\) −172548. 72131.7i −0.964337 0.403130i
\(424\) −65195.3 + 53067.4i −0.362647 + 0.295186i
\(425\) −42121.4 + 72956.4i −0.233198 + 0.403911i
\(426\) 113762. 120742.i 0.626873 0.665335i
\(427\) 23045.4 13305.2i 0.126394 0.0729738i
\(428\) −71272.8 4863.23i −0.389078 0.0265483i
\(429\) −13317.0 208382.i −0.0723588 1.13226i
\(430\) −185386. + 173167.i −1.00263 + 0.936544i
\(431\) 191015.i 1.02828i 0.857705 + 0.514142i \(0.171889\pi\)
−0.857705 + 0.514142i \(0.828111\pi\)
\(432\) −186340. + 10296.9i −0.998477 + 0.0551743i
\(433\) 48243.4 0.257313 0.128657 0.991689i \(-0.458933\pi\)
0.128657 + 0.991689i \(0.458933\pi\)
\(434\) 22838.3 + 24449.8i 0.121251 + 0.129806i
\(435\) 456860. 29196.3i 2.41437 0.154294i
\(436\) 5158.56 75601.0i 0.0271366 0.397699i
\(437\) −11761.1 20370.8i −0.0615863 0.106671i
\(438\) −67202.5 63317.6i −0.350297 0.330047i
\(439\) 227081. + 131105.i 1.17829 + 0.680285i 0.955618 0.294609i \(-0.0951893\pi\)
0.222670 + 0.974894i \(0.428523\pi\)
\(440\) 175283. + 215342.i 0.905388 + 1.11230i
\(441\) −110575. 145081.i −0.568562 0.745988i
\(442\) −22759.1 + 74666.6i −0.116496 + 0.382192i
\(443\) −78793.6 45491.5i −0.401498 0.231805i 0.285632 0.958339i \(-0.407796\pi\)
−0.687130 + 0.726534i \(0.741130\pi\)
\(444\) 1092.14 253474.i 0.00554005 1.28578i
\(445\) −22805.9 39501.0i −0.115167 0.199475i
\(446\) 60851.0 + 262566.i 0.305913 + 1.31998i
\(447\) 38158.9 + 57310.8i 0.190977 + 0.286828i
\(448\) −33263.3 + 37320.3i −0.165733 + 0.185947i
\(449\) 283350. 1.40550 0.702748 0.711438i \(-0.251956\pi\)
0.702748 + 0.711438i \(0.251956\pi\)
\(450\) 274036. 101703.i 1.35326 0.502238i
\(451\) 8668.77i 0.0426191i
\(452\) −263613. + 129123.i −1.29030 + 0.632014i
\(453\) −9080.00 4496.18i −0.0442476 0.0219102i
\(454\) 56708.7 + 244692.i 0.275130 + 1.18716i
\(455\) −86323.1 + 49838.7i −0.416970 + 0.240737i
\(456\) 10523.7 + 11364.0i 0.0506101 + 0.0546513i
\(457\) −99226.7 + 171866.i −0.475112 + 0.822918i −0.999594 0.0285035i \(-0.990926\pi\)
0.524482 + 0.851422i \(0.324259\pi\)
\(458\) 47730.9 156592.i 0.227546 0.746517i
\(459\) 66829.4 12953.8i 0.317207 0.0614852i
\(460\) 305094. 453968.i 1.44184 2.14541i
\(461\) 104347. 180735.i 0.490998 0.850433i −0.508949 0.860797i \(-0.669966\pi\)
0.999946 + 0.0103639i \(0.00329898\pi\)
\(462\) −11217.8 + 47472.6i −0.0525562 + 0.222413i
\(463\) −22687.9 + 13098.9i −0.105836 + 0.0611044i −0.551984 0.833855i \(-0.686129\pi\)
0.446148 + 0.894959i \(0.352796\pi\)
\(464\) −204261. + 263266.i −0.948746 + 1.22281i
\(465\) 215998. + 106957.i 0.998950 + 0.494654i
\(466\) −216401. 231670.i −0.996524 1.06684i
\(467\) 96607.8i 0.442974i 0.975163 + 0.221487i \(0.0710911\pi\)
−0.975163 + 0.221487i \(0.928909\pi\)
\(468\) 226086. 149131.i 1.03224 0.680889i
\(469\) 3002.97 0.0136523
\(470\) −263747. + 246363.i −1.19396 + 1.11527i
\(471\) 17515.7 + 26306.9i 0.0789562 + 0.118584i
\(472\) 126768. 332753.i 0.569017 1.49361i
\(473\) −90084.9 156032.i −0.402652 0.697413i
\(474\) −53605.5 178621.i −0.238590 0.795017i
\(475\) −21008.5 12129.3i −0.0931125 0.0537585i
\(476\) 10171.6 15135.0i 0.0448926 0.0667986i
\(477\) −105527. + 13543.0i −0.463794 + 0.0595220i
\(478\) −172681. 52634.7i −0.755767 0.230365i
\(479\) −29664.3 17126.7i −0.129289 0.0746453i 0.433960 0.900932i \(-0.357116\pi\)
−0.563250 + 0.826287i \(0.690449\pi\)
\(480\) −129665. + 336000.i −0.562784 + 1.45833i
\(481\) 183931. + 318577.i 0.794994 + 1.37697i
\(482\) 294801. 68321.7i 1.26892 0.294080i
\(483\) 95895.6 6128.35i 0.411059 0.0262693i
\(484\) 33277.7 16300.1i 0.142057 0.0695823i
\(485\) 224280. 0.953470
\(486\) −207240. 113314.i −0.877408 0.479745i
\(487\) 69521.4i 0.293130i −0.989201 0.146565i \(-0.953178\pi\)
0.989201 0.146565i \(-0.0468218\pi\)
\(488\) 22176.5 + 137763.i 0.0931224 + 0.578486i
\(489\) 24077.6 + 376762.i 0.100692 + 1.57561i
\(490\) −342939. + 79477.9i −1.42832 + 0.331020i
\(491\) −174305. + 100635.i −0.723016 + 0.417433i −0.815862 0.578247i \(-0.803737\pi\)
0.0928458 + 0.995681i \(0.470404\pi\)
\(492\) 9761.84 5580.06i 0.0403275 0.0230520i
\(493\) 60771.9 105260.i 0.250040 0.433081i
\(494\) −21501.0 6553.71i −0.0881057 0.0268555i
\(495\) 44732.8 + 348557.i 0.182564 + 1.42254i
\(496\) −162441. + 66268.0i −0.660286 + 0.269365i
\(497\) 28121.7 48708.2i 0.113849 0.197192i
\(498\) 19385.3 + 64594.6i 0.0781653 + 0.260458i
\(499\) 46850.8 27049.3i 0.188155 0.108631i −0.402964 0.915216i \(-0.632020\pi\)
0.591119 + 0.806585i \(0.298687\pi\)
\(500\) 11797.3 172896.i 0.0471894 0.691582i
\(501\) 51041.7 33984.7i 0.203352 0.135397i
\(502\) 228795. 213715.i 0.907902 0.848064i
\(503\) 239548.i 0.946795i −0.880849 0.473397i \(-0.843027\pi\)
0.880849 0.473397i \(-0.156973\pi\)
\(504\) −60679.4 + 17925.7i −0.238880 + 0.0705691i
\(505\) −609113. −2.38844
\(506\) 265171. + 283881.i 1.03568 + 1.10875i
\(507\) −60355.7 + 121888.i −0.234802 + 0.474181i
\(508\) 130407. + 8898.22i 0.505330 + 0.0344807i
\(509\) −57738.0 100005.i −0.222857 0.386000i 0.732817 0.680425i \(-0.238205\pi\)
−0.955674 + 0.294426i \(0.904872\pi\)
\(510\) 30210.6 127848.i 0.116150 0.491535i
\(511\) −27109.9 15651.9i −0.103821 0.0599412i
\(512\) −120778. 232663.i −0.460733 0.887539i
\(513\) 3730.16 + 19244.2i 0.0141740 + 0.0731248i
\(514\) 26838.8 88051.1i 0.101587 0.333279i
\(515\) 376584. + 217421.i 1.41987 + 0.819761i
\(516\) 117719. 201881.i 0.442126 0.758221i
\(517\) −128163. 221985.i −0.479492 0.830505i
\(518\) −19402.1 83718.1i −0.0723086 0.312004i
\(519\) −62894.8 + 127016.i −0.233496 + 0.471545i
\(520\) −83068.7 516031.i −0.307207 1.90840i
\(521\) 217267. 0.800420 0.400210 0.916424i \(-0.368937\pi\)
0.400210 + 0.916424i \(0.368937\pi\)
\(522\) −395373. + 146735.i −1.45100 + 0.538510i
\(523\) 39683.4i 0.145079i 0.997366 + 0.0725397i \(0.0231104\pi\)
−0.997366 + 0.0725397i \(0.976890\pi\)
\(524\) −74207.4 151499.i −0.270262 0.551757i
\(525\) 82487.8 54922.3i 0.299275 0.199265i
\(526\) 78457.6 + 338536.i 0.283572 + 1.22358i
\(527\) 55419.6 31996.5i 0.199546 0.115208i
\(528\) −211680. 143590.i −0.759298 0.515057i
\(529\) 242694. 420359.i 0.867258 1.50213i
\(530\) −59863.7 + 196397.i −0.213114 + 0.699170i
\(531\) 358430. 273181.i 1.27120 0.968861i
\(532\) 4358.26 + 2929.01i 0.0153989 + 0.0103490i
\(533\) −8159.11 + 14132.0i −0.0287202 + 0.0497449i
\(534\) 30582.2 + 28814.3i 0.107247 + 0.101048i
\(535\) −151107. + 87241.9i −0.527932 + 0.304802i
\(536\) −5605.90 + 14714.9i −0.0195126 + 0.0512186i
\(537\) 12913.3 + 202066.i 0.0447806 + 0.700721i
\(538\) 147672. + 158092.i 0.510192 + 0.546191i
\(539\) 250017.i 0.860580i
\(540\) −363713. + 274738.i −1.24730 + 0.942175i
\(541\) −194992. −0.666228 −0.333114 0.942887i \(-0.608099\pi\)
−0.333114 + 0.942887i \(0.608099\pi\)
\(542\) −140185. + 130945.i −0.477201 + 0.445750i
\(543\) −196225. + 12540.0i −0.665510 + 0.0425304i
\(544\) 55174.8 + 78095.7i 0.186442 + 0.263894i
\(545\) −92539.8 160284.i −0.311556 0.539630i
\(546\) 62969.0 66832.4i 0.211223 0.224183i
\(547\) 81637.9 + 47133.6i 0.272846 + 0.157527i 0.630180 0.776449i \(-0.282981\pi\)
−0.357335 + 0.933976i \(0.616314\pi\)
\(548\) −42836.3 28788.5i −0.142643 0.0958647i
\(549\) −68113.8 + 162937.i −0.225991 + 0.540598i
\(550\) 383218. + 116809.i 1.26684 + 0.386144i
\(551\) 30310.6 + 17499.9i 0.0998371 + 0.0576410i
\(552\) −148987. + 481340.i −0.488955 + 1.57970i
\(553\) −31613.4 54756.1i −0.103376 0.179053i
\(554\) −287280. + 66578.8i −0.936022 + 0.216928i
\(555\) −343113. 515321.i −1.11391 1.67299i
\(556\) 132278. + 270053.i 0.427894 + 0.873575i
\(557\) −563587. −1.81656 −0.908282 0.418358i \(-0.862606\pi\)
−0.908282 + 0.418358i \(0.862606\pi\)
\(558\) −218904. 37176.4i −0.703050 0.119398i
\(559\) 339154.i 1.08536i
\(560\) −16586.0 + 120972.i −0.0528889 + 0.385751i
\(561\) 83611.6 + 41402.3i 0.265669 + 0.131552i
\(562\) 218699. 50684.8i 0.692428 0.160474i
\(563\) −543509. + 313795.i −1.71471 + 0.989986i −0.786771 + 0.617245i \(0.788249\pi\)
−0.927935 + 0.372741i \(0.878418\pi\)
\(564\) 167477. 287214.i 0.526499 0.902917i
\(565\) −358473. + 620894.i −1.12295 + 1.94500i
\(566\) 584516. + 178166.i 1.82458 + 0.556150i
\(567\) −77213.0 21229.7i −0.240173 0.0660356i
\(568\) 186179. + 228727.i 0.577077 + 0.708959i
\(569\) 38859.9 67307.3i 0.120026 0.207892i −0.799751 0.600331i \(-0.795035\pi\)
0.919778 + 0.392439i \(0.128369\pi\)
\(570\) 36815.2 + 8699.44i 0.113312 + 0.0267758i
\(571\) −276094. + 159403.i −0.846809 + 0.488905i −0.859573 0.511013i \(-0.829270\pi\)
0.0127640 + 0.999919i \(0.495937\pi\)
\(572\) 370352. + 25270.6i 1.13194 + 0.0772366i
\(573\) 150705. + 74625.4i 0.459007 + 0.227288i
\(574\) 2785.83 2602.22i 0.00845533 0.00789805i
\(575\) 789186.i 2.38695i
\(576\) 25437.4 330799.i 0.0766704 0.997056i
\(577\) 40053.7 0.120307 0.0601534 0.998189i \(-0.480841\pi\)
0.0601534 + 0.998189i \(0.480841\pi\)
\(578\) 204242. + 218653.i 0.611349 + 0.654485i
\(579\) −229940. 345348.i −0.685896 1.03015i
\(580\) −55403.5 + 811964.i −0.164695 + 2.41369i
\(581\) 11432.3 + 19801.4i 0.0338675 + 0.0586602i
\(582\) −197890. + 59388.3i −0.584223 + 0.175329i
\(583\) −126284. 72910.3i −0.371546 0.214512i
\(584\) 127304. 103623.i 0.373266 0.303830i
\(585\) 255140. 610327.i 0.745533 1.78341i
\(586\) 45298.0 148611.i 0.131912 0.432768i
\(587\) −11894.5 6867.28i −0.0345199 0.0199301i 0.482641 0.875818i \(-0.339678\pi\)
−0.517161 + 0.855888i \(0.673011\pi\)
\(588\) 281542. 160935.i 0.814307 0.465474i
\(589\) 9213.72 + 15958.6i 0.0265586 + 0.0460008i
\(590\) −196355. 847250.i −0.564076 2.43393i
\(591\) 143120. 9146.29i 0.409756 0.0261861i
\(592\) 446448. + 61210.8i 1.27388 + 0.174656i
\(593\) 537582. 1.52875 0.764373 0.644775i \(-0.223049\pi\)
0.764373 + 0.644775i \(0.223049\pi\)
\(594\) −131766. 295700.i −0.373447 0.838066i
\(595\) 44538.6i 0.125806i
\(596\) −109925. + 53843.7i −0.309461 + 0.151580i
\(597\) 42322.3 + 662253.i 0.118746 + 1.85813i
\(598\) −165095. 712368.i −0.461671 1.99206i
\(599\) 394401. 227708.i 1.09922 0.634635i 0.163204 0.986592i \(-0.447817\pi\)
0.936016 + 0.351958i \(0.114484\pi\)
\(600\) 115139. + 506728.i 0.319830 + 1.40758i
\(601\) 118996. 206108.i 0.329446 0.570618i −0.652956 0.757396i \(-0.726471\pi\)
0.982402 + 0.186778i \(0.0598046\pi\)
\(602\) 23100.9 75788.0i 0.0637436 0.209126i
\(603\) −15850.4 + 12080.5i −0.0435919 + 0.0332240i
\(604\) 10047.5 14950.3i 0.0275412 0.0409803i
\(605\) 45252.5 78379.7i 0.123632 0.214137i
\(606\) 537443. 161290.i 1.46348 0.439200i
\(607\) 516142. 297995.i 1.40085 0.808781i 0.406371 0.913708i \(-0.366794\pi\)
0.994480 + 0.104927i \(0.0334608\pi\)
\(608\) −22488.4 + 15888.1i −0.0608347 + 0.0429799i
\(609\) −119012. + 79240.7i −0.320889 + 0.213655i
\(610\) 232640. + 249055.i 0.625209 + 0.669324i
\(611\) 482511.i 1.29248i
\(612\) 7197.72 + 120805.i 0.0192173 + 0.322539i
\(613\) 547275. 1.45641 0.728206 0.685358i \(-0.240354\pi\)
0.728206 + 0.685358i \(0.240354\pi\)
\(614\) −1337.41 + 1249.26i −0.00354754 + 0.00331372i
\(615\) 12186.7 24611.0i 0.0322208 0.0650697i
\(616\) −81038.4 30873.0i −0.213565 0.0813611i
\(617\) −259077. 448735.i −0.680549 1.17874i −0.974814 0.223021i \(-0.928408\pi\)
0.294265 0.955724i \(-0.404925\pi\)
\(618\) −389846. 92120.8i −1.02074 0.241202i
\(619\) 176869. + 102115.i 0.461605 + 0.266508i 0.712719 0.701450i \(-0.247463\pi\)
−0.251114 + 0.967958i \(0.580797\pi\)
\(620\) −239013. + 355642.i −0.621781 + 0.925187i
\(621\) −481507. + 418122.i −1.24859 + 1.08423i
\(622\) 41025.8 + 12505.1i 0.106042 + 0.0323226i
\(623\) 12337.1 + 7122.80i 0.0317860 + 0.0183516i
\(624\) 209937. + 433317.i 0.539163 + 1.11285i
\(625\) 70291.3 + 121748.i 0.179946 + 0.311675i
\(626\) 69954.7 16212.4i 0.178512 0.0413712i
\(627\) −11922.2 + 24076.8i −0.0303264 + 0.0612440i
\(628\) −50458.0 + 24715.4i −0.127941 + 0.0626683i
\(629\) −164370. −0.415454
\(630\) −98585.6 + 119006.i −0.248389 + 0.299840i
\(631\) 177036.i 0.444633i −0.974975 0.222317i \(-0.928638\pi\)
0.974975 0.222317i \(-0.0713618\pi\)
\(632\) 327327. 52691.8i 0.819497 0.131919i
\(633\) 133484. 88876.8i 0.333137 0.221810i
\(634\) −239149. + 55424.1i −0.594963 + 0.137886i
\(635\) 276480. 159626.i 0.685672 0.395873i
\(636\) 814.947 189140.i 0.00201472 0.467594i
\(637\) −235317. + 407582.i −0.579929 + 1.00447i
\(638\) −552899. 168529.i −1.35833 0.414031i
\(639\) 47513.4 + 370224.i 0.116363 + 0.906698i
\(640\) −561812. 307101.i −1.37161 0.749758i
\(641\) −109444. + 189562.i −0.266364 + 0.461356i −0.967920 0.251258i \(-0.919156\pi\)
0.701556 + 0.712614i \(0.252489\pi\)
\(642\) 110226. 116989.i 0.267433 0.283841i
\(643\) 298938. 172592.i 0.723035 0.417445i −0.0928336 0.995682i \(-0.529592\pi\)
0.815869 + 0.578237i \(0.196259\pi\)
\(644\) −11629.3 + 170432.i −0.0280402 + 0.410942i
\(645\) −36402.6 569623.i −0.0875009 1.36920i
\(646\) 7339.66 6855.91i 0.0175878 0.0164286i
\(647\) 398251.i 0.951366i 0.879617 + 0.475683i \(0.157799\pi\)
−0.879617 + 0.475683i \(0.842201\pi\)
\(648\) 248168. 338721.i 0.591011 0.806663i
\(649\) 617681. 1.46648
\(650\) −514787. 551110.i −1.21843 1.30440i
\(651\) −75125.4 + 4801.00i −0.177266 + 0.0113284i
\(652\) −669609. 45690.1i −1.57517 0.107480i
\(653\) 171144. + 296430.i 0.401361 + 0.695178i 0.993890 0.110371i \(-0.0352040\pi\)
−0.592529 + 0.805549i \(0.701871\pi\)
\(654\) 124094. + 116920.i 0.290131 + 0.273359i
\(655\) −356830. 206016.i −0.831722 0.480195i
\(656\) 7550.63 + 18508.7i 0.0175459 + 0.0430098i
\(657\) 206058. 26444.9i 0.477374 0.0612648i
\(658\) 32865.5 107823.i 0.0759082 0.249035i
\(659\) −452868. 261464.i −1.04280 0.602061i −0.122175 0.992509i \(-0.538987\pi\)
−0.920625 + 0.390447i \(0.872320\pi\)
\(660\) −624734. 2691.79i −1.43419 0.00617950i
\(661\) −154294. 267245.i −0.353140 0.611656i 0.633658 0.773613i \(-0.281553\pi\)
−0.986798 + 0.161957i \(0.948219\pi\)
\(662\) 167883. + 724395.i 0.383080 + 1.65295i
\(663\) −97337.1 146191.i −0.221438 0.332577i
\(664\) −118371. + 19054.9i −0.268478 + 0.0432185i
\(665\) 12825.3 0.0290018
\(666\) 439196. + 363832.i 0.990170 + 0.820262i
\(667\) 1.13862e6i 2.55934i
\(668\) 47953.8 + 97900.8i 0.107466 + 0.219398i
\(669\) −543453. 269104.i −1.21425 0.601267i
\(670\) 8683.16 + 37466.9i 0.0193432 + 0.0834637i
\(671\) −209620. + 121024.i −0.465573 + 0.268798i
\(672\) −17398.3 111129.i −0.0385273 0.246088i
\(673\) 124260. 215225.i 0.274348 0.475184i −0.695623 0.718407i \(-0.744871\pi\)
0.969970 + 0.243223i \(0.0782047\pi\)
\(674\) 172604. 566269.i 0.379955 1.24653i
\(675\) −214446. + 621730.i −0.470663 + 1.36457i
\(676\) −200689. 134875.i −0.439168 0.295147i
\(677\) −134761. + 233413.i −0.294027 + 0.509270i −0.974758 0.223264i \(-0.928329\pi\)
0.680731 + 0.732533i \(0.261662\pi\)
\(678\) 151884. 642759.i 0.330410 1.39826i
\(679\) −60663.0 + 35023.8i −0.131578 + 0.0759668i
\(680\) 218244. + 83143.9i 0.471981 + 0.179809i
\(681\) −506458. 250785.i −1.09207 0.540763i
\(682\) −207737. 222395.i −0.446627 0.478140i
\(683\) 124482.i 0.266848i 0.991059 + 0.133424i \(0.0425972\pi\)
−0.991059 + 0.133424i \(0.957403\pi\)
\(684\) −34787.0 + 2072.65i −0.0743540 + 0.00443011i
\(685\) −126057. −0.268649
\(686\) 166007. 155066.i 0.352760 0.329510i
\(687\) 204137. + 306594.i 0.432523 + 0.649606i
\(688\) 328246. + 254677.i 0.693461 + 0.538038i
\(689\) 137247. + 237719.i 0.289111 + 0.500756i
\(690\) 353745. + 1.17873e6i 0.743006 + 2.47580i
\(691\) −771402. 445369.i −1.61557 0.932747i −0.988048 0.154145i \(-0.950738\pi\)
−0.627518 0.778602i \(1.28407\pi\)
\(692\) −209132. 140549.i −0.436726 0.293506i
\(693\) −66530.4 87291.9i −0.138533 0.181764i
\(694\) −554723. 169085.i −1.15175 0.351064i
\(695\) 636063. + 367231.i 1.31683 + 0.760274i
\(696\) −166120. 731096.i −0.342928 1.50923i
\(697\) −3645.71 6314.56i −0.00750442 0.0129980i
\(698\) −697324. + 161609.i −1.43128 + 0.331707i
\(699\) 711839. 45491.1i 1.45689 0.0931048i
\(700\) 77497.5 + 158216.i 0.158158 + 0.322890i
\(701\) −170934. −0.347851 −0.173925 0.984759i \(-0.555645\pi\)
−0.173925 + 0.984759i \(0.555645\pi\)
\(702\) −63507.7 + 606074.i −0.128870 + 1.22985i
\(703\) 47332.1i 0.0957734i
\(704\) 302562. 339464.i 0.610477 0.684934i
\(705\) −51789.7 810398.i −0.104199 1.63050i
\(706\) 102855. 23837.3i 0.206356 0.0478242i
\(707\) 164752. 95119.7i 0.329604 0.190297i
\(708\) 397599. + 695566.i 0.793193 + 1.38762i
\(709\) 350963. 607886.i 0.698183 1.20929i −0.270913 0.962604i \(-0.587326\pi\)
0.969096 0.246684i \(-0.0793410\pi\)
\(710\) 689028. + 210022.i 1.36685 + 0.416628i
\(711\) 387140. + 161839.i 0.765823 + 0.320144i
\(712\) −57933.2 + 47156.3i −0.114279 + 0.0930206i
\(713\) −299744. + 519171.i −0.589618 + 1.02125i
\(714\) 11793.6 + 39298.0i 0.0231340 + 0.0770858i
\(715\) 785193. 453331.i 1.53590 0.886755i
\(716\) −359127. 24504.6i −0.700522 0.0477994i
\(717\) 338093. 225110.i 0.657655 0.437882i
\(718\) −530147. + 495206.i −1.02837 + 0.960587i
\(719\) 768366.i 1.48631i 0.669117 + 0.743157i \(0.266672\pi\)
−0.669117 + 0.743157i \(0.733328\pi\)
\(720\) −399108. 705240.i −0.769883 1.36042i
\(721\) −135811. −0.261255
\(722\) −353862. 378830.i −0.678827 0.726724i
\(723\) −302141. + 610173.i −0.578008 + 1.16728i
\(724\) 23796.2 348745.i 0.0453974 0.665320i
\(725\) 587133. + 1.01695e6i 1.11702 + 1.93473i
\(726\) −19173.4 + 81139.9i −0.0363769 + 0.153943i
\(727\) −221493. 127879.i −0.419074 0.241952i 0.275607 0.961270i \(-0.411121\pi\)
−0.694681 + 0.719318i \(0.744454\pi\)
\(728\) 103052. + 126604.i 0.194444 + 0.238882i
\(729\) 492953. 198562.i 0.927578 0.373629i
\(730\) 116894. 383497.i 0.219354 0.719642i
\(731\) −131240. 75771.6i −0.245602 0.141799i
\(732\) −271216. 158149.i −0.506166 0.295150i
\(733\) −184829. 320133.i −0.344003 0.595831i 0.641169 0.767400i \(-0.278450\pi\)
−0.985172 + 0.171569i \(0.945116\pi\)
\(734\) −188746. 814416.i −0.350336 1.51166i
\(735\) 351478. 709807.i 0.650614 1.31391i
\(736\) −813429. 375145.i −1.50163 0.692539i
\(737\) −27314.9 −0.0502881
\(738\) −4235.91 + 24942.2i −0.00777739 + 0.0457954i
\(739\) 1.03557e6i 1.89623i −0.317932 0.948114i \(-0.602988\pi\)
0.317932 0.948114i \(-0.397012\pi\)
\(740\) 988415. 484146.i 1.80500 0.884123i
\(741\) 42097.0 28029.2i 0.0766681 0.0510474i
\(742\) −14477.7 62469.6i −0.0262961 0.113465i
\(743\) 486002. 280593.i 0.880360 0.508276i 0.00958322 0.999954i \(-0.496950\pi\)
0.870777 + 0.491678i \(0.163616\pi\)
\(744\) 116717. 377085.i 0.210858 0.681230i
\(745\) −149482. + 258910.i −0.269324 + 0.466483i
\(746\) 89331.1 293072.i 0.160518 0.526618i
\(747\) −140001. 58525.8i −0.250894 0.104883i
\(748\) −92520.5 + 137667.i −0.165362 + 0.246052i
\(749\) 27247.6 47194.2i 0.0485696 0.0841250i
\(750\) 283796. + 267390.i 0.504525 + 0.475360i
\(751\) −164898. + 95204.1i −0.292372 + 0.168801i −0.639011 0.769197i \(-0.720656\pi\)
0.346639 + 0.937999i \(0.387323\pi\)
\(752\) 466993. + 362327.i 0.825799 + 0.640715i
\(753\) 44926.5 + 703004.i 0.0792342 + 1.23985i
\(754\) 742725. + 795131.i 1.30643 + 1.39861i
\(755\) 43995.1i 0.0771810i
\(756\) 55473.3 131109.i 0.0970601 0.229397i
\(757\) 523077. 0.912797 0.456398 0.889776i \(-0.349139\pi\)
0.456398 + 0.889776i \(0.349139\pi\)
\(758\) −678508. + 633788.i −1.18091 + 1.10308i
\(759\) −872263. + 55743.3i −1.51413 + 0.0967629i
\(760\) −23942.1 + 62845.6i −0.0414510 + 0.108805i
\(761\) 80448.7 + 139341.i 0.138915 + 0.240608i 0.927086 0.374848i \(-0.122305\pi\)
−0.788171 + 0.615456i \(0.788972\pi\)
\(762\) −201680. + 214054.i −0.347339 + 0.368650i
\(763\) 50060.1 + 28902.2i 0.0859890 +