Properties

Label 36.5.f.a.7.1
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 7.1
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.96529 + 0.525827i) q^{2} +(-4.76702 + 7.63384i) q^{3} +(15.4470 - 4.17011i) q^{4} +(11.0746 + 19.1817i) q^{5} +(14.8885 - 32.7770i) q^{6} +(-82.7885 - 47.7980i) q^{7} +(-59.0591 + 24.6582i) q^{8} +(-35.5511 - 72.7813i) q^{9} +O(q^{10})\) \(q+(-3.96529 + 0.525827i) q^{2} +(-4.76702 + 7.63384i) q^{3} +(15.4470 - 4.17011i) q^{4} +(11.0746 + 19.1817i) q^{5} +(14.8885 - 32.7770i) q^{6} +(-82.7885 - 47.7980i) q^{7} +(-59.0591 + 24.6582i) q^{8} +(-35.5511 - 72.7813i) q^{9} +(-54.0000 - 70.2376i) q^{10} +(18.9394 + 10.9346i) q^{11} +(-41.8022 + 137.799i) q^{12} +(-63.1124 - 109.314i) q^{13} +(353.414 + 146.000i) q^{14} +(-199.223 - 6.89808i) q^{15} +(221.220 - 128.832i) q^{16} -283.865 q^{17} +(179.241 + 269.905i) q^{18} +323.729i q^{19} +(251.059 + 250.118i) q^{20} +(759.536 - 404.141i) q^{21} +(-80.8497 - 33.4002i) q^{22} +(-198.433 + 114.565i) q^{23} +(93.2993 - 568.394i) q^{24} +(67.2085 - 116.409i) q^{25} +(307.739 + 400.274i) q^{26} +(725.074 + 75.5587i) q^{27} +(-1478.16 - 393.098i) q^{28} +(-604.822 + 1047.58i) q^{29} +(793.602 - 77.4038i) q^{30} +(-718.565 + 414.863i) q^{31} +(-809.459 + 627.178i) q^{32} +(-173.758 + 92.4544i) q^{33} +(1125.61 - 149.264i) q^{34} -2117.36i q^{35} +(-852.664 - 976.002i) q^{36} -318.650 q^{37} +(-170.226 - 1283.68i) q^{38} +(1135.34 + 39.3112i) q^{39} +(-1127.04 - 859.775i) q^{40} +(-164.418 - 284.781i) q^{41} +(-2799.27 + 2001.92i) q^{42} +(179.336 + 103.539i) q^{43} +(338.155 + 89.9283i) q^{44} +(1002.36 - 1487.95i) q^{45} +(726.602 - 558.626i) q^{46} +(1062.42 + 613.390i) q^{47} +(-71.0817 + 2302.90i) q^{48} +(3368.79 + 5834.92i) q^{49} +(-205.290 + 496.933i) q^{50} +(1353.19 - 2166.98i) q^{51} +(-1430.75 - 1425.39i) q^{52} -2834.27 q^{53} +(-2914.86 + 81.6516i) q^{54} +484.385i q^{55} +(6068.02 + 781.492i) q^{56} +(-2471.30 - 1543.22i) q^{57} +(1847.44 - 4471.99i) q^{58} +(-1278.13 + 737.929i) q^{59} +(-3106.16 + 724.226i) q^{60} +(936.180 - 1621.51i) q^{61} +(2631.17 - 2022.89i) q^{62} +(-535.579 + 7724.73i) q^{63} +(2879.95 - 2912.58i) q^{64} +(1397.88 - 2421.20i) q^{65} +(640.384 - 457.975i) q^{66} +(-214.663 + 123.936i) q^{67} +(-4384.87 + 1183.75i) q^{68} +(71.3600 - 2060.94i) q^{69} +(1113.37 + 8395.96i) q^{70} -4308.28i q^{71} +(3894.27 + 3421.77i) q^{72} +3010.75 q^{73} +(1263.54 - 167.555i) q^{74} +(568.260 + 1067.98i) q^{75} +(1349.99 + 5000.65i) q^{76} +(-1045.31 - 1810.52i) q^{77} +(-4522.63 + 441.113i) q^{78} +(-6228.39 - 3595.96i) q^{79} +(4921.12 + 2816.63i) q^{80} +(-4033.24 + 5174.91i) q^{81} +(801.712 + 1042.78i) q^{82} +(-2877.35 - 1661.24i) q^{83} +(10047.3 - 9410.12i) q^{84} +(-3143.68 - 5445.01i) q^{85} +(-765.561 - 316.264i) q^{86} +(-5113.88 - 9610.95i) q^{87} +(-1388.17 - 178.780i) q^{88} -1549.85 q^{89} +(-3192.23 + 6427.22i) q^{90} +12066.6i q^{91} +(-2587.44 + 2597.18i) q^{92} +(258.409 - 7463.07i) q^{93} +(-4535.35 - 1873.62i) q^{94} +(-6209.67 + 3585.16i) q^{95} +(-929.070 - 9169.05i) q^{96} +(-2918.68 + 5055.31i) q^{97} +(-16426.4 - 21365.7i) q^{98} +(122.523 - 1767.17i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.96529 + 0.525827i −0.991322 + 0.131457i
\(3\) −4.76702 + 7.63384i −0.529669 + 0.848205i
\(4\) 15.4470 4.17011i 0.965438 0.260632i
\(5\) 11.0746 + 19.1817i 0.442982 + 0.767268i 0.997909 0.0646314i \(-0.0205872\pi\)
−0.554927 + 0.831899i \(0.687254\pi\)
\(6\) 14.8885 32.7770i 0.413570 0.910472i
\(7\) −82.7885 47.7980i −1.68956 0.975469i −0.954850 0.297089i \(-0.903984\pi\)
−0.734711 0.678380i \(1.23732\pi\)
\(8\) −59.0591 + 24.6582i −0.922798 + 0.385284i
\(9\) −35.5511 72.7813i −0.438902 0.898535i
\(10\) −54.0000 70.2376i −0.540000 0.702376i
\(11\) 18.9394 + 10.9346i 0.156524 + 0.0903689i 0.576216 0.817297i \(-0.304529\pi\)
−0.419692 + 0.907666i \(0.637862\pi\)
\(12\) −41.8022 + 137.799i −0.290293 + 0.956938i
\(13\) −63.1124 109.314i −0.373446 0.646827i 0.616647 0.787240i \(-0.288491\pi\)
−0.990093 + 0.140412i \(0.955157\pi\)
\(14\) 353.414 + 146.000i 1.80313 + 0.744899i
\(15\) −199.223 6.89808i −0.885434 0.0306581i
\(16\) 221.220 128.832i 0.864142 0.503248i
\(17\) −283.865 −0.982232 −0.491116 0.871094i \(-0.663411\pi\)
−0.491116 + 0.871094i \(0.663411\pi\)
\(18\) 179.241 + 269.905i 0.553212 + 0.833041i
\(19\) 323.729i 0.896756i 0.893844 + 0.448378i \(0.147998\pi\)
−0.893844 + 0.448378i \(0.852002\pi\)
\(20\) 251.059 + 250.118i 0.627646 + 0.625294i
\(21\) 759.536 404.141i 1.72230 0.916418i
\(22\) −80.8497 33.4002i −0.167045 0.0690086i
\(23\) −198.433 + 114.565i −0.375109 + 0.216570i −0.675688 0.737187i \(-0.736153\pi\)
0.300579 + 0.953757i \(0.402820\pi\)
\(24\) 93.2993 568.394i 0.161978 0.986794i
\(25\) 67.2085 116.409i 0.107534 0.186254i
\(26\) 307.739 + 400.274i 0.455235 + 0.592122i
\(27\) 725.074 + 75.5587i 0.994614 + 0.103647i
\(28\) −1478.16 393.098i −1.88541 0.501401i
\(29\) −604.822 + 1047.58i −0.719170 + 1.24564i 0.242160 + 0.970236i \(0.422144\pi\)
−0.961329 + 0.275402i \(0.911189\pi\)
\(30\) 793.602 77.4038i 0.881780 0.0860042i
\(31\) −718.565 + 414.863i −0.747726 + 0.431700i −0.824872 0.565320i \(-0.808753\pi\)
0.0771458 + 0.997020i \(0.475419\pi\)
\(32\) −809.459 + 627.178i −0.790487 + 0.612478i
\(33\) −173.758 + 92.4544i −0.159557 + 0.0848984i
\(34\) 1125.61 149.264i 0.973708 0.129121i
\(35\) 2117.36i 1.72846i
\(36\) −852.664 976.002i −0.657920 0.753088i
\(37\) −318.650 −0.232761 −0.116380 0.993205i \(-0.537129\pi\)
−0.116380 + 0.993205i \(0.537129\pi\)
\(38\) −170.226 1283.68i −0.117885 0.888974i
\(39\) 1135.34 + 39.3112i 0.746444 + 0.0258456i
\(40\) −1127.04 859.775i −0.704399 0.537359i
\(41\) −164.418 284.781i −0.0978099 0.169412i 0.812968 0.582308i \(-0.197850\pi\)
−0.910778 + 0.412897i \(0.864517\pi\)
\(42\) −2799.27 + 2001.92i −1.58689 + 1.13487i
\(43\) 179.336 + 103.539i 0.0969906 + 0.0559976i 0.547711 0.836668i \(-0.315499\pi\)
−0.450720 + 0.892665i \(0.648833\pi\)
\(44\) 338.155 + 89.9283i 0.174667 + 0.0464506i
\(45\) 1002.36 1487.95i 0.494991 0.734790i
\(46\) 726.602 558.626i 0.343385 0.264001i
\(47\) 1062.42 + 613.390i 0.480952 + 0.277678i 0.720813 0.693129i \(-0.243769\pi\)
−0.239861 + 0.970807i \(0.577102\pi\)
\(48\) −71.0817 + 2302.90i −0.0308514 + 0.999524i
\(49\) 3368.79 + 5834.92i 1.40308 + 2.43020i
\(50\) −205.290 + 496.933i −0.0821161 + 0.198773i
\(51\) 1353.19 2166.98i 0.520258 0.833134i
\(52\) −1430.75 1425.39i −0.529123 0.527140i
\(53\) −2834.27 −1.00900 −0.504499 0.863412i \(-0.668323\pi\)
−0.504499 + 0.863412i \(0.668323\pi\)
\(54\) −2914.86 + 81.6516i −0.999608 + 0.0280012i
\(55\) 484.385i 0.160127i
\(56\) 6068.02 + 781.492i 1.93496 + 0.249200i
\(57\) −2471.30 1543.22i −0.760633 0.474984i
\(58\) 1847.44 4471.99i 0.549181 1.32937i
\(59\) −1278.13 + 737.929i −0.367173 + 0.211988i −0.672223 0.740349i \(-0.734660\pi\)
0.305049 + 0.952337i \(0.401327\pi\)
\(60\) −3106.16 + 724.226i −0.862822 + 0.201174i
\(61\) 936.180 1621.51i 0.251594 0.435773i −0.712371 0.701803i \(-0.752379\pi\)
0.963965 + 0.266030i \(0.0857120\pi\)
\(62\) 2631.17 2022.89i 0.684487 0.526247i
\(63\) −535.579 + 7724.73i −0.134941 + 1.94627i
\(64\) 2879.95 2912.58i 0.703113 0.711078i
\(65\) 1397.88 2421.20i 0.330860 0.573066i
\(66\) 640.384 457.975i 0.147012 0.105137i
\(67\) −214.663 + 123.936i −0.0478197 + 0.0276087i −0.523719 0.851891i \(-0.675456\pi\)
0.475900 + 0.879500i \(0.342123\pi\)
\(68\) −4384.87 + 1183.75i −0.948284 + 0.256001i
\(69\) 71.3600 2060.94i 0.0149885 0.432880i
\(70\) 1113.37 + 8395.96i 0.227218 + 1.71346i
\(71\) 4308.28i 0.854648i −0.904099 0.427324i \(-0.859456\pi\)
0.904099 0.427324i \(-0.140544\pi\)
\(72\) 3894.27 + 3421.77i 0.751209 + 0.660065i
\(73\) 3010.75 0.564974 0.282487 0.959271i \(-0.408841\pi\)
0.282487 + 0.959271i \(0.408841\pi\)
\(74\) 1263.54 167.555i 0.230741 0.0305980i
\(75\) 568.260 + 1067.98i 0.101024 + 0.189863i
\(76\) 1349.99 + 5000.65i 0.233723 + 0.865763i
\(77\) −1045.31 1810.52i −0.176304 0.305368i
\(78\) −4522.63 + 441.113i −0.743364 + 0.0725039i
\(79\) −6228.39 3595.96i −0.997980 0.576184i −0.0903300 0.995912i \(-0.528792\pi\)
−0.907650 + 0.419728i \(0.862126\pi\)
\(80\) 4921.12 + 2816.63i 0.768926 + 0.440098i
\(81\) −4033.24 + 5174.91i −0.614730 + 0.788738i
\(82\) 801.712 + 1042.78i 0.119231 + 0.155084i
\(83\) −2877.35 1661.24i −0.417673 0.241144i 0.276408 0.961040i \(-0.410856\pi\)
−0.694081 + 0.719897i \(0.744189\pi\)
\(84\) 10047.3 9410.12i 1.42393 1.33363i
\(85\) −3143.68 5445.01i −0.435111 0.753635i
\(86\) −765.561 316.264i −0.103510 0.0427615i
\(87\) −5113.88 9610.95i −0.675634 1.26978i
\(88\) −1388.17 178.780i −0.179257 0.0230863i
\(89\) −1549.85 −0.195664 −0.0978318 0.995203i \(-0.531191\pi\)
−0.0978318 + 0.995203i \(0.531191\pi\)
\(90\) −3192.23 + 6427.22i −0.394102 + 0.793484i
\(91\) 12066.6i 1.45714i
\(92\) −2587.44 + 2597.18i −0.305700 + 0.306850i
\(93\) 258.409 7463.07i 0.0298773 0.862882i
\(94\) −4535.35 1873.62i −0.513281 0.212044i
\(95\) −6209.67 + 3585.16i −0.688052 + 0.397247i
\(96\) −929.070 9169.05i −0.100811 0.994906i
\(97\) −2918.68 + 5055.31i −0.310201 + 0.537285i −0.978406 0.206693i \(-0.933730\pi\)
0.668204 + 0.743978i \(0.267063\pi\)
\(98\) −16426.4 21365.7i −1.71037 2.22467i
\(99\) 122.523 1767.17i 0.0125011 0.180305i
\(100\) 552.734 2078.43i 0.0552734 0.207843i
\(101\) 2749.50 4762.27i 0.269532 0.466844i −0.699209 0.714918i \(-0.746464\pi\)
0.968741 + 0.248074i \(0.0797976\pi\)
\(102\) −4226.33 + 9304.25i −0.406222 + 0.894295i
\(103\) 15530.7 8966.63i 1.46391 0.845191i 0.464725 0.885455i \(-0.346153\pi\)
0.999189 + 0.0402641i \(0.0128199\pi\)
\(104\) 6422.83 + 4899.74i 0.593827 + 0.453008i
\(105\) 16163.6 + 10093.5i 1.46609 + 0.915512i
\(106\) 11238.7 1490.34i 1.00024 0.132640i
\(107\) 8715.17i 0.761217i 0.924736 + 0.380608i \(0.124285\pi\)
−0.924736 + 0.380608i \(0.875715\pi\)
\(108\) 11515.3 1856.48i 0.987252 0.159164i
\(109\) −12162.1 −1.02366 −0.511830 0.859087i \(-0.671032\pi\)
−0.511830 + 0.859087i \(0.671032\pi\)
\(110\) −254.703 1920.73i −0.0210498 0.158738i
\(111\) 1519.01 2432.52i 0.123286 0.197429i
\(112\) −24472.4 + 91.8909i −1.95092 + 0.00732549i
\(113\) 10236.7 + 17730.5i 0.801684 + 1.38856i 0.918507 + 0.395404i \(0.129396\pi\)
−0.116823 + 0.993153i \(0.537271\pi\)
\(114\) 10610.9 + 4819.85i 0.816472 + 0.370871i
\(115\) −4395.11 2537.52i −0.332334 0.191873i
\(116\) −4974.15 + 18704.2i −0.369661 + 1.39003i
\(117\) −5712.29 + 8479.62i −0.417291 + 0.619448i
\(118\) 4680.13 3598.18i 0.336120 0.258415i
\(119\) 23500.8 + 13568.2i 1.65954 + 0.958136i
\(120\) 11936.0 4505.07i 0.828889 0.312852i
\(121\) −7081.37 12265.3i −0.483667 0.837736i
\(122\) −2859.59 + 6922.03i −0.192125 + 0.465065i
\(123\) 2957.76 + 102.412i 0.195503 + 0.00676928i
\(124\) −9369.65 + 9404.89i −0.609368 + 0.611661i
\(125\) 16820.4 1.07651
\(126\) −1938.15 30912.4i −0.122080 1.94711i
\(127\) 8130.42i 0.504087i −0.967716 0.252044i \(-0.918897\pi\)
0.967716 0.252044i \(-0.0811026\pi\)
\(128\) −9888.32 + 13063.6i −0.603535 + 0.797336i
\(129\) −1645.30 + 875.445i −0.0988703 + 0.0526077i
\(130\) −4269.87 + 10335.8i −0.252655 + 0.611586i
\(131\) 14095.1 8137.79i 0.821343 0.474203i −0.0295362 0.999564i \(-0.509403\pi\)
0.850879 + 0.525361i \(0.176070\pi\)
\(132\) −2298.49 + 2152.73i −0.131915 + 0.123550i
\(133\) 15473.6 26801.0i 0.874758 1.51512i
\(134\) 786.030 604.315i 0.0437754 0.0336554i
\(135\) 6580.52 + 14744.9i 0.361071 + 0.809049i
\(136\) 16764.8 6999.59i 0.906402 0.378438i
\(137\) −12331.4 + 21358.7i −0.657011 + 1.13798i 0.324375 + 0.945929i \(0.394846\pi\)
−0.981386 + 0.192047i \(0.938487\pi\)
\(138\) 800.735 + 8209.74i 0.0420466 + 0.431093i
\(139\) 17078.1 9860.04i 0.883913 0.510328i 0.0119667 0.999928i \(-0.496191\pi\)
0.871947 + 0.489601i \(0.162857\pi\)
\(140\) −8829.65 32707.0i −0.450492 1.66872i
\(141\) −9747.12 + 5186.33i −0.490273 + 0.260869i
\(142\) 2265.41 + 17083.6i 0.112349 + 0.847231i
\(143\) 2760.44i 0.134992i
\(144\) −17241.2 11520.6i −0.831460 0.555585i
\(145\) −26792.5 −1.27432
\(146\) −11938.5 + 1583.13i −0.560072 + 0.0742697i
\(147\) −60601.9 2098.34i −2.80448 0.0971050i
\(148\) −4922.18 + 1328.80i −0.224716 + 0.0606649i
\(149\) −14942.7 25881.6i −0.673066 1.16578i −0.977030 0.213101i \(-0.931644\pi\)
0.303965 0.952683i \(-0.401690\pi\)
\(150\) −2814.89 3936.04i −0.125106 0.174935i
\(151\) −5164.11 2981.50i −0.226486 0.130762i 0.382464 0.923970i \(-0.375076\pi\)
−0.608950 + 0.793209i \(0.708409\pi\)
\(152\) −7982.56 19119.1i −0.345506 0.827525i
\(153\) 10091.7 + 20660.1i 0.431104 + 0.882570i
\(154\) 5096.97 + 6629.60i 0.214917 + 0.279541i
\(155\) −15915.6 9188.85i −0.662458 0.382471i
\(156\) 17701.6 4127.26i 0.727382 0.169595i
\(157\) 17493.5 + 30299.6i 0.709704 + 1.22924i 0.964967 + 0.262372i \(0.0845048\pi\)
−0.255262 + 0.966872i \(0.582162\pi\)
\(158\) 26588.2 + 10984.0i 1.06506 + 0.439993i
\(159\) 13511.0 21636.4i 0.534435 0.855837i
\(160\) −20994.7 8581.08i −0.820107 0.335198i
\(161\) 21903.9 0.845027
\(162\) 13271.9 22640.8i 0.505710 0.862703i
\(163\) 14509.8i 0.546118i 0.961997 + 0.273059i \(0.0880354\pi\)
−0.961997 + 0.273059i \(0.911965\pi\)
\(164\) −3727.34 3713.37i −0.138584 0.138064i
\(165\) −3697.72 2309.07i −0.135821 0.0848144i
\(166\) 12283.0 + 5074.30i 0.445749 + 0.184145i
\(167\) −38640.1 + 22308.9i −1.38550 + 0.799917i −0.992804 0.119753i \(-0.961790\pi\)
−0.392693 + 0.919670i \(0.628457\pi\)
\(168\) −34892.2 + 42596.9i −1.23626 + 1.50925i
\(169\) 6314.16 10936.5i 0.221076 0.382916i
\(170\) 15328.7 + 19938.0i 0.530406 + 0.689896i
\(171\) 23561.4 11508.9i 0.805767 0.393588i
\(172\) 3201.97 + 851.526i 0.108233 + 0.0287833i
\(173\) 26443.3 45801.1i 0.883534 1.53033i 0.0361488 0.999346i \(-0.488491\pi\)
0.847385 0.530979i \(-0.178176\pi\)
\(174\) 25331.7 + 35421.2i 0.836692 + 1.16994i
\(175\) −11128.2 + 6424.86i −0.363369 + 0.209791i
\(176\) 5598.50 21.0217i 0.180737 0.000678644i
\(177\) 459.639 13274.8i 0.0146714 0.423721i
\(178\) 6145.61 814.954i 0.193966 0.0257213i
\(179\) 32840.8i 1.02496i 0.858698 + 0.512482i \(0.171274\pi\)
−0.858698 + 0.512482i \(0.828726\pi\)
\(180\) 9278.49 27164.3i 0.286373 0.838405i
\(181\) −22758.6 −0.694685 −0.347343 0.937738i \(-0.612916\pi\)
−0.347343 + 0.937738i \(0.612916\pi\)
\(182\) −6344.93 47847.4i −0.191551 1.44449i
\(183\) 7915.57 + 14876.4i 0.236363 + 0.444218i
\(184\) 8894.30 11659.1i 0.262710 0.344373i
\(185\) −3528.90 6112.24i −0.103109 0.178590i
\(186\) 2899.62 + 29729.1i 0.0838137 + 0.859322i
\(187\) −5376.22 3103.96i −0.153742 0.0887632i
\(188\) 18969.2 + 5044.62i 0.536701 + 0.142729i
\(189\) −56416.2 40912.4i −1.57936 1.14533i
\(190\) 22738.0 17481.4i 0.629860 0.484249i
\(191\) −49799.3 28751.7i −1.36508 0.788127i −0.374782 0.927113i \(-0.622282\pi\)
−0.990294 + 0.138986i \(0.955616\pi\)
\(192\) 8505.37 + 35869.4i 0.230723 + 0.973020i
\(193\) 22470.8 + 38920.5i 0.603259 + 1.04488i 0.992324 + 0.123665i \(0.0394648\pi\)
−0.389065 + 0.921210i \(0.627202\pi\)
\(194\) 8915.21 21580.5i 0.236880 0.573400i
\(195\) 11819.4 + 22213.1i 0.310831 + 0.584172i
\(196\) 76370.0 + 76083.8i 1.98797 + 1.98052i
\(197\) −44514.7 −1.14702 −0.573510 0.819198i \(-0.694419\pi\)
−0.573510 + 0.819198i \(0.694419\pi\)
\(198\) 443.385 + 7071.76i 0.0113097 + 0.180384i
\(199\) 19066.9i 0.481474i 0.970590 + 0.240737i \(0.0773892\pi\)
−0.970590 + 0.240737i \(0.922611\pi\)
\(200\) −1098.85 + 8532.22i −0.0274713 + 0.213305i
\(201\) 77.1966 2229.50i 0.00191076 0.0551844i
\(202\) −8398.42 + 20329.5i −0.205824 + 0.498224i
\(203\) 100145. 57818.5i 2.43016 1.40305i
\(204\) 11866.2 39116.3i 0.285135 0.939935i
\(205\) 3641.72 6307.65i 0.0866561 0.150093i
\(206\) −56868.6 + 43721.7i −1.34010 + 1.03030i
\(207\) 15392.7 + 10369.3i 0.359232 + 0.241996i
\(208\) −28044.8 16051.6i −0.648225 0.371014i
\(209\) −3539.86 + 6131.22i −0.0810389 + 0.140364i
\(210\) −69400.9 31524.4i −1.57372 0.714839i
\(211\) 825.251 476.459i 0.0185362 0.0107019i −0.490703 0.871327i \(-0.663260\pi\)
0.509239 + 0.860625i \(0.329927\pi\)
\(212\) −43781.1 + 11819.2i −0.974125 + 0.262977i
\(213\) 32888.7 + 20537.6i 0.724916 + 0.452680i
\(214\) −4582.67 34558.1i −0.100067 0.754611i
\(215\) 4586.61i 0.0992237i
\(216\) −44685.3 + 13416.6i −0.957762 + 0.287563i
\(217\) 79318.5 1.68444
\(218\) 48226.2 6395.17i 1.01478 0.134567i
\(219\) −14352.3 + 22983.6i −0.299249 + 0.479214i
\(220\) 2019.94 + 7482.30i 0.0417343 + 0.154593i
\(221\) 17915.4 + 31030.4i 0.366810 + 0.635334i
\(222\) −4744.22 + 10444.4i −0.0962629 + 0.211922i
\(223\) −37535.4 21671.1i −0.754800 0.435784i 0.0726258 0.997359i \(-0.476862\pi\)
−0.827426 + 0.561575i \(0.810195\pi\)
\(224\) 96991.7 13232.6i 1.93303 0.263724i
\(225\) −10861.7 753.076i −0.214552 0.0148756i
\(226\) −49914.6 64923.7i −0.977262 1.27112i
\(227\) −5202.66 3003.76i −0.100966 0.0582925i 0.448667 0.893699i \(-0.351899\pi\)
−0.549633 + 0.835406i \(0.685232\pi\)
\(228\) −44609.6 13532.6i −0.858140 0.260322i
\(229\) 2038.17 + 3530.22i 0.0388660 + 0.0673180i 0.884804 0.465963i \(-0.154292\pi\)
−0.845938 + 0.533281i \(0.820959\pi\)
\(230\) 18762.2 + 7750.92i 0.354673 + 0.146520i
\(231\) 18804.3 + 651.097i 0.352397 + 0.0122017i
\(232\) 9888.77 76783.0i 0.183724 1.42656i
\(233\) −37427.6 −0.689414 −0.344707 0.938710i \(-0.612022\pi\)
−0.344707 + 0.938710i \(0.612022\pi\)
\(234\) 18192.1 36627.8i 0.332239 0.668928i
\(235\) 27172.1i 0.492025i
\(236\) −16666.1 + 16728.7i −0.299232 + 0.300358i
\(237\) 57141.9 30404.5i 1.01732 0.541305i
\(238\) −100322. 41444.4i −1.77109 0.731664i
\(239\) −22212.3 + 12824.3i −0.388865 + 0.224511i −0.681668 0.731662i \(-0.738745\pi\)
0.292804 + 0.956173i \(0.405412\pi\)
\(240\) −44960.8 + 24140.2i −0.780569 + 0.419100i
\(241\) −38300.8 + 66339.0i −0.659438 + 1.14218i 0.321323 + 0.946970i \(0.395872\pi\)
−0.980761 + 0.195211i \(0.937461\pi\)
\(242\) 34529.1 + 44911.8i 0.589596 + 0.766884i
\(243\) −20277.9 55458.0i −0.343408 0.939186i
\(244\) 7699.30 28951.5i 0.129322 0.486285i
\(245\) −74615.7 + 129238.i −1.24308 + 2.15307i
\(246\) −11782.2 + 1149.18i −0.194696 + 0.0189896i
\(247\) 35388.1 20431.3i 0.580046 0.334890i
\(248\) 32208.0 42219.9i 0.523673 0.686458i
\(249\) 26398.0 14046.1i 0.425768 0.226546i
\(250\) −66697.8 + 8844.63i −1.06716 + 0.141514i
\(251\) 66642.6i 1.05780i −0.848683 0.528902i \(-0.822604\pi\)
0.848683 0.528902i \(-0.177396\pi\)
\(252\) 23939.9 + 121557.i 0.376982 + 1.91417i
\(253\) −5010.92 −0.0782846
\(254\) 4275.20 + 32239.5i 0.0662657 + 0.499713i
\(255\) 56552.3 + 1958.12i 0.869701 + 0.0301134i
\(256\) 32340.9 57000.3i 0.493482 0.869756i
\(257\) −29713.2 51464.8i −0.449866 0.779191i 0.548511 0.836143i \(-0.315195\pi\)
−0.998377 + 0.0569526i \(0.981862\pi\)
\(258\) 6063.76 4336.54i 0.0910966 0.0651484i
\(259\) 26380.5 + 15230.8i 0.393264 + 0.227051i
\(260\) 11496.4 43229.7i 0.170065 0.639492i
\(261\) 97746.4 + 6777.07i 1.43489 + 0.0994857i
\(262\) −51611.9 + 39680.3i −0.751878 + 0.578059i
\(263\) 21772.1 + 12570.2i 0.314767 + 0.181731i 0.649058 0.760739i \(-0.275163\pi\)
−0.334290 + 0.942470i \(0.608497\pi\)
\(264\) 7982.21 9744.81i 0.114529 0.139819i
\(265\) −31388.3 54366.2i −0.446968 0.774171i
\(266\) −47264.5 + 114410.i −0.667993 + 1.61697i
\(267\) 7388.17 11831.3i 0.103637 0.165963i
\(268\) −2799.07 + 2809.60i −0.0389712 + 0.0391179i
\(269\) 2553.46 0.0352877 0.0176439 0.999844i \(-0.494383\pi\)
0.0176439 + 0.999844i \(0.494383\pi\)
\(270\) −33847.0 55007.6i −0.464293 0.754563i
\(271\) 4623.11i 0.0629499i −0.999505 0.0314750i \(-0.989980\pi\)
0.999505 0.0314750i \(-0.0100204\pi\)
\(272\) −62796.7 + 36570.8i −0.848788 + 0.494307i
\(273\) −92114.3 57521.6i −1.23595 0.771801i
\(274\) 37666.7 91177.4i 0.501714 1.21447i
\(275\) 2545.77 1469.80i 0.0336631 0.0194354i
\(276\) −7492.05 32132.9i −0.0983519 0.421825i
\(277\) 4927.19 8534.14i 0.0642154 0.111224i −0.832130 0.554580i \(-0.812879\pi\)
0.896346 + 0.443356i \(0.146212\pi\)
\(278\) −62534.9 + 48078.0i −0.809157 + 0.622095i
\(279\) 55740.0 + 37549.2i 0.716076 + 0.482384i
\(280\) 52210.3 + 125050.i 0.665948 + 1.59502i
\(281\) 24208.6 41930.5i 0.306589 0.531028i −0.671025 0.741435i \(-0.734146\pi\)
0.977614 + 0.210407i \(0.0674789\pi\)
\(282\) 35923.0 25690.6i 0.451725 0.323054i
\(283\) −114515. + 66115.1i −1.42984 + 0.825520i −0.997108 0.0760012i \(-0.975785\pi\)
−0.432735 + 0.901521i \(0.642451\pi\)
\(284\) −17966.0 66550.0i −0.222749 0.825110i
\(285\) 2233.11 64494.1i 0.0274929 0.794018i
\(286\) 1451.52 + 10946.0i 0.0177456 + 0.133820i
\(287\) 31435.5i 0.381642i
\(288\) 74424.0 + 36616.7i 0.897280 + 0.441462i
\(289\) −2941.65 −0.0352205
\(290\) 106240. 14088.2i 1.26326 0.167518i
\(291\) −24678.0 46379.5i −0.291423 0.547697i
\(292\) 46507.1 12555.2i 0.545448 0.147250i
\(293\) 44759.6 + 77525.8i 0.521375 + 0.903049i 0.999691 + 0.0248607i \(0.00791423\pi\)
−0.478315 + 0.878188i \(0.658752\pi\)
\(294\) 241407. 23545.6i 2.79290 0.272405i
\(295\) −28309.5 16344.5i −0.325303 0.187814i
\(296\) 18819.1 7857.31i 0.214791 0.0896789i
\(297\) 12906.2 + 9359.45i 0.146314 + 0.106105i
\(298\) 72861.5 + 94770.6i 0.820475 + 1.06719i
\(299\) 25047.1 + 14461.0i 0.280166 + 0.161754i
\(300\) 13231.5 + 14127.4i 0.147017 + 0.156971i
\(301\) −9897.95 17143.8i −0.109248 0.189223i
\(302\) 22044.9 + 9107.08i 0.241710 + 0.0998540i
\(303\) 23247.5 + 43691.1i 0.253216 + 0.475891i
\(304\) 41706.5 + 71615.4i 0.451291 + 0.774925i
\(305\) 41471.1 0.445806
\(306\) −50880.1 76616.6i −0.543382 0.818239i
\(307\) 62726.9i 0.665545i 0.943007 + 0.332772i \(0.107984\pi\)
−0.943007 + 0.332772i \(0.892016\pi\)
\(308\) −23697.0 23608.2i −0.249799 0.248863i
\(309\) −5585.11 + 161303.i −0.0584944 + 1.68937i
\(310\) 67941.5 + 28067.6i 0.706988 + 0.292067i
\(311\) −106333. + 61391.4i −1.09938 + 0.634726i −0.936058 0.351847i \(-0.885554\pi\)
−0.163321 + 0.986573i \(0.552221\pi\)
\(312\) −68021.6 + 25673.8i −0.698775 + 0.263743i
\(313\) 24294.6 42079.4i 0.247982 0.429518i −0.714984 0.699141i \(-0.753566\pi\)
0.962966 + 0.269623i \(0.0868992\pi\)
\(314\) −85299.2 110948.i −0.865138 1.12528i
\(315\) −154105. + 75274.6i −1.55308 + 0.758625i
\(316\) −111206. 29573.8i −1.11366 0.296164i
\(317\) 55066.7 95378.4i 0.547988 0.949143i −0.450425 0.892815i \(-0.648727\pi\)
0.998412 0.0563282i \(-0.0179393\pi\)
\(318\) −42198.1 + 92899.0i −0.417291 + 0.918665i
\(319\) −22909.9 + 13227.0i −0.225134 + 0.129981i
\(320\) 87762.3 + 22986.8i 0.857054 + 0.224481i
\(321\) −66530.2 41545.4i −0.645667 0.403193i
\(322\) −86855.5 + 11517.7i −0.837694 + 0.111085i
\(323\) 91895.4i 0.880823i
\(324\) −40721.6 + 96755.9i −0.387913 + 0.921696i
\(325\) −16966.7 −0.160632
\(326\) −7629.65 57535.6i −0.0717909 0.541379i
\(327\) 57977.0 92843.6i 0.542201 0.868273i
\(328\) 16732.6 + 12764.7i 0.155530 + 0.118648i
\(329\) −58637.6 101563.i −0.541732 0.938308i
\(330\) 15876.7 + 7211.78i 0.145791 + 0.0662238i
\(331\) 159800. + 92260.3i 1.45854 + 0.842091i 0.998940 0.0460325i \(-0.0146578\pi\)
0.459605 + 0.888124i \(0.347991\pi\)
\(332\) −51374.0 13662.3i −0.466087 0.123950i
\(333\) 11328.3 + 23191.7i 0.102159 + 0.209144i
\(334\) 141489. 108779.i 1.26832 0.975108i
\(335\) −4754.59 2745.06i −0.0423665 0.0244603i
\(336\) 115959. 187256.i 1.02713 1.65866i
\(337\) −32813.1 56833.9i −0.288926 0.500435i 0.684628 0.728893i \(-0.259965\pi\)
−0.973554 + 0.228458i \(0.926632\pi\)
\(338\) −19286.8 + 46686.3i −0.168821 + 0.408655i
\(339\) −184150. 6376.20i −1.60241 0.0554834i
\(340\) −71266.7 70999.7i −0.616494 0.614184i
\(341\) −18145.5 −0.156049
\(342\) −87376.1 + 58025.4i −0.747035 + 0.496096i
\(343\) 414560.i 3.52370i
\(344\) −13144.5 1692.86i −0.111078 0.0143055i
\(345\) 40322.6 21455.2i 0.338774 0.180258i
\(346\) −80771.7 + 195519.i −0.674695 + 1.63319i
\(347\) −90819.3 + 52434.6i −0.754257 + 0.435470i −0.827230 0.561864i \(-0.810085\pi\)
0.0729731 + 0.997334i \(0.476751\pi\)
\(348\) −119073. 127135.i −0.983228 1.04980i
\(349\) −43672.0 + 75642.1i −0.358552 + 0.621030i −0.987719 0.156240i \(-0.950063\pi\)
0.629167 + 0.777270i \(0.283396\pi\)
\(350\) 40748.1 31327.9i 0.332637 0.255738i
\(351\) −37501.5 84029.2i −0.304393 0.682050i
\(352\) −22188.6 + 3027.20i −0.179079 + 0.0244318i
\(353\) 24354.3 42182.9i 0.195446 0.338522i −0.751601 0.659618i \(-0.770718\pi\)
0.947047 + 0.321096i \(0.104051\pi\)
\(354\) 5157.64 + 52880.0i 0.0411570 + 0.421973i
\(355\) 82640.1 47712.3i 0.655744 0.378594i
\(356\) −23940.6 + 6463.06i −0.188901 + 0.0509962i
\(357\) −215606. + 114721.i −1.69170 + 0.900135i
\(358\) −17268.6 130223.i −0.134738 1.01607i
\(359\) 109409.i 0.848911i 0.905449 + 0.424456i \(0.139535\pi\)
−0.905449 + 0.424456i \(0.860465\pi\)
\(360\) −22508.2 + 112593.i −0.173674 + 0.868775i
\(361\) 25520.5 0.195828
\(362\) 90244.4 11967.1i 0.688657 0.0913211i
\(363\) 127388. + 4410.82i 0.966754 + 0.0334739i
\(364\) 50318.9 + 186392.i 0.379777 + 1.40678i
\(365\) 33342.7 + 57751.3i 0.250274 + 0.433487i
\(366\) −39210.0 54827.1i −0.292708 0.409292i
\(367\) −1112.82 642.487i −0.00826215 0.00477015i 0.495863 0.868401i \(-0.334852\pi\)
−0.504125 + 0.863630i \(0.668185\pi\)
\(368\) −29137.8 + 50908.6i −0.215160 + 0.375920i
\(369\) −14881.5 + 22090.9i −0.109293 + 0.162241i
\(370\) 17207.1 + 22381.2i 0.125691 + 0.163486i
\(371\) 234645. + 135473.i 1.70476 + 0.984246i
\(372\) −27130.2 116360.i −0.196050 0.840847i
\(373\) 36777.2 + 63699.9i 0.264339 + 0.457848i 0.967390 0.253291i \(-0.0815130\pi\)
−0.703052 + 0.711139i \(0.748180\pi\)
\(374\) 22950.4 + 9481.14i 0.164077 + 0.0677825i
\(375\) −80183.2 + 128404.i −0.570192 + 0.913098i
\(376\) −77870.8 10028.9i −0.550807 0.0709376i
\(377\) 152687. 1.07428
\(378\) 245219. + 132564.i 1.71621 + 0.927776i
\(379\) 139070.i 0.968176i 0.875019 + 0.484088i \(0.160848\pi\)
−0.875019 + 0.484088i \(0.839152\pi\)
\(380\) −80970.4 + 81275.0i −0.560737 + 0.562846i
\(381\) 62066.3 + 38757.9i 0.427569 + 0.266999i
\(382\) 212587. + 87822.8i 1.45683 + 0.601839i
\(383\) 90000.3 51961.7i 0.613545 0.354230i −0.160807 0.986986i \(-0.551410\pi\)
0.774352 + 0.632756i \(0.218076\pi\)
\(384\) −52587.3 137760.i −0.356631 0.934245i
\(385\) 23152.6 40101.5i 0.156199 0.270545i
\(386\) −109569. 142515.i −0.735380 0.956505i
\(387\) 1160.17 16733.2i 0.00774638 0.111727i
\(388\) −24003.7 + 90260.7i −0.159447 + 0.599563i
\(389\) 50040.9 86673.4i 0.330694 0.572778i −0.651954 0.758258i \(-0.726051\pi\)
0.982648 + 0.185480i \(0.0593839\pi\)
\(390\) −58547.4 81866.5i −0.384927 0.538241i
\(391\) 56328.2 32521.1i 0.368444 0.212721i
\(392\) −342836. 261537.i −2.23108 1.70200i
\(393\) −5068.84 + 146393.i −0.0328189 + 0.947838i
\(394\) 176514. 23407.1i 1.13707 0.150784i
\(395\) 159295.i 1.02096i
\(396\) −5476.68 27808.4i −0.0349242 0.177332i
\(397\) 164388. 1.04301 0.521507 0.853247i \(-0.325370\pi\)
0.521507 + 0.853247i \(0.325370\pi\)
\(398\) −10025.9 75605.6i −0.0632931 0.477296i
\(399\) 130832. + 245884.i 0.821804 + 1.54449i
\(400\) −129.207 34410.5i −0.000807546 0.215066i
\(401\) 78226.6 + 135492.i 0.486481 + 0.842609i 0.999879 0.0155412i \(-0.00494711\pi\)
−0.513399 + 0.858150i \(0.671614\pi\)
\(402\) 866.227 + 8881.21i 0.00536018 + 0.0549567i
\(403\) 90700.6 + 52366.0i 0.558470 + 0.322433i
\(404\) 22612.3 85028.6i 0.138542 0.520958i
\(405\) −143930. 20054.6i −0.877487 0.122266i
\(406\) −366699. + 281926.i −2.22463 + 1.71034i
\(407\) −6035.02 3484.32i −0.0364325 0.0210343i
\(408\) −26484.4 + 161347.i −0.159100 + 0.969261i
\(409\) −135351. 234435.i −0.809125 1.40145i −0.913471 0.406904i \(-0.866608\pi\)
0.104346 0.994541i \(-0.466725\pi\)
\(410\) −11123.7 + 26926.6i −0.0661734 + 0.160182i
\(411\) −104264. 195953.i −0.617238 1.16003i
\(412\) 202510. 203272.i 1.19303 1.19752i
\(413\) 141086. 0.827149
\(414\) −66489.0 33023.3i −0.387926 0.192673i
\(415\) 73589.9i 0.427290i
\(416\) 119646. + 48902.4i 0.691372 + 0.282581i
\(417\) −6141.59 + 177374.i −0.0353190 + 1.02004i
\(418\) 10812.6 26173.4i 0.0618839 0.149799i
\(419\) 49366.2 28501.6i 0.281191 0.162346i −0.352771 0.935710i \(-0.614761\pi\)
0.633963 + 0.773364i \(0.281427\pi\)
\(420\) 291771. + 88510.5i 1.65403 + 0.501760i
\(421\) −116812. + 202325.i −0.659059 + 1.14152i 0.321801 + 0.946807i \(0.395712\pi\)
−0.980860 + 0.194716i \(0.937621\pi\)
\(422\) −3021.82 + 2323.24i −0.0169685 + 0.0130457i
\(423\) 6873.08 99131.3i 0.0384123 0.554026i
\(424\) 167390. 69888.0i 0.931101 0.388750i
\(425\) −19078.1 + 33044.3i −0.105623 + 0.182944i
\(426\) −141213. 64143.9i −0.778133 0.353457i
\(427\) −155010. + 89495.0i −0.850166 + 0.490843i
\(428\) 36343.2 + 134623.i 0.198397 + 0.734908i
\(429\) 21072.8 + 13159.1i 0.114500 + 0.0715008i
\(430\) −2411.77 18187.2i −0.0130436 0.0983626i
\(431\) 333180.i 1.79360i 0.442439 + 0.896798i \(0.354113\pi\)
−0.442439 + 0.896798i \(0.645887\pi\)
\(432\) 170135. 76697.3i 0.911648 0.410972i
\(433\) −215343. −1.14856 −0.574282 0.818657i \(-0.694719\pi\)
−0.574282 + 0.818657i \(0.694719\pi\)
\(434\) −314521. + 41707.8i −1.66982 + 0.221431i
\(435\) 127720. 204530.i 0.674966 1.08088i
\(436\) −187868. + 50717.3i −0.988280 + 0.266799i
\(437\) −37088.1 64238.5i −0.194210 0.336382i
\(438\) 44825.6 98683.3i 0.233656 0.514394i
\(439\) 27053.2 + 15619.2i 0.140375 + 0.0810455i 0.568543 0.822654i \(-0.307507\pi\)
−0.428168 + 0.903699i \(0.640841\pi\)
\(440\) −11944.0 28607.3i −0.0616944 0.147765i
\(441\) 304909. 452623.i 1.56781 2.32734i
\(442\) −87356.3 113624.i −0.447146 0.581601i
\(443\) −184829. 106711.i −0.941809 0.543754i −0.0512822 0.998684i \(-0.516331\pi\)
−0.890527 + 0.454930i \(0.849664\pi\)
\(444\) 13320.3 43909.6i 0.0675689 0.222738i
\(445\) −17163.9 29728.8i −0.0866755 0.150126i
\(446\) 160234. + 66195.0i 0.805536 + 0.332779i
\(447\) 268808. + 9307.48i 1.34533 + 0.0465819i
\(448\) −377642. + 103472.i −1.88159 + 0.515546i
\(449\) −393053. −1.94966 −0.974828 0.222956i \(-0.928429\pi\)
−0.974828 + 0.222956i \(0.928429\pi\)
\(450\) 43465.8 2725.22i 0.214646 0.0134579i
\(451\) 7191.43i 0.0353559i
\(452\) 232065. + 231195.i 1.13588 + 1.13162i
\(453\) 47377.7 25209.1i 0.230876 0.122846i
\(454\) 22209.5 + 9175.06i 0.107752 + 0.0445141i
\(455\) −231457. + 133632.i −1.11802 + 0.645487i
\(456\) 184006. + 30203.7i 0.884914 + 0.145255i
\(457\) 36178.7 62663.4i 0.173229 0.300042i −0.766318 0.642462i \(-0.777913\pi\)
0.939547 + 0.342420i \(0.111247\pi\)
\(458\) −9938.23 12926.6i −0.0473782 0.0616246i
\(459\) −205823. 21448.5i −0.976942 0.101805i
\(460\) −78473.1 20869.0i −0.370856 0.0986246i
\(461\) −29095.9 + 50395.5i −0.136908 + 0.237132i −0.926325 0.376726i \(-0.877050\pi\)
0.789417 + 0.613858i \(0.210383\pi\)
\(462\) −74906.7 + 7306.00i −0.350943 + 0.0342291i
\(463\) −64721.6 + 37367.0i −0.301917 + 0.174312i −0.643304 0.765611i \(-0.722437\pi\)
0.341387 + 0.939923i \(0.389103\pi\)
\(464\) 1162.76 + 309666.i 0.00540075 + 1.43833i
\(465\) 146016. 77693.4i 0.675297 0.359318i
\(466\) 148411. 19680.5i 0.683431 0.0906282i
\(467\) 264366.i 1.21219i −0.795392 0.606096i \(-0.792735\pi\)
0.795392 0.606096i \(-0.207265\pi\)
\(468\) −52876.8 + 154806.i −0.241420 + 0.706798i
\(469\) 23695.5 0.107726
\(470\) −14287.8 107745.i −0.0646801 0.487756i
\(471\) −314694. 10896.3i −1.41856 0.0491176i
\(472\) 57289.3 75097.8i 0.257152 0.337088i
\(473\) 2264.33 + 3921.94i 0.0101209 + 0.0175299i
\(474\) −210596. + 150609.i −0.937334 + 0.670341i
\(475\) 37684.8 + 21757.3i 0.167024 + 0.0964314i
\(476\) 419597. + 111587.i 1.85191 + 0.492492i
\(477\) 100761. + 206282.i 0.442851 + 0.906620i
\(478\) 81334.9 62531.9i 0.355976 0.273682i
\(479\) −242211. 139840.i −1.05566 0.609483i −0.131429 0.991326i \(-0.541956\pi\)
−0.924228 + 0.381842i \(0.875290\pi\)
\(480\) 165589. 119364.i 0.718702 0.518074i
\(481\) 20110.7 + 34832.8i 0.0869236 + 0.150556i
\(482\) 116991. 283193.i 0.503568 1.21896i
\(483\) −104417. + 167211.i −0.447584 + 0.716756i
\(484\) −160534. 159932.i −0.685291 0.682723i
\(485\) −129293. −0.549655
\(486\) 109569. + 209244.i 0.463890 + 0.885893i
\(487\) 62506.3i 0.263552i 0.991280 + 0.131776i \(0.0420679\pi\)
−0.991280 + 0.131776i \(0.957932\pi\)
\(488\) −15306.5 + 118849.i −0.0642739 + 0.499065i
\(489\) −110766. 69168.5i −0.463220 0.289262i
\(490\) 227916. 551702.i 0.949254 2.29780i
\(491\) 291742. 168437.i 1.21014 0.698674i 0.247350 0.968926i \(-0.420440\pi\)
0.962790 + 0.270252i \(0.0871070\pi\)
\(492\) 46115.6 10752.2i 0.190510 0.0444189i
\(493\) 171688. 297372.i 0.706391 1.22351i
\(494\) −129580. + 99624.0i −0.530989 + 0.408235i
\(495\) 35254.2 17220.4i 0.143880 0.0702802i
\(496\) −105514. + 184350.i −0.428889 + 0.749342i
\(497\) −205927. + 356676.i −0.833682 + 1.44398i
\(498\) −97289.9 + 69577.6i −0.392292 + 0.280550i
\(499\) −276635. + 159715.i −1.11098 + 0.641424i −0.939083 0.343691i \(-0.888323\pi\)
−0.171896 + 0.985115i \(0.554989\pi\)
\(500\) 259825. 70143.0i 1.03930 0.280572i
\(501\) 13895.7 401319.i 0.0553611 1.59888i
\(502\) 35042.5 + 264257.i 0.139055 + 1.04862i
\(503\) 28287.7i 0.111805i −0.998436 0.0559025i \(-0.982196\pi\)
0.998436 0.0559025i \(-0.0178036\pi\)
\(504\) −158847. 469422.i −0.625341 1.84800i
\(505\) 121798. 0.477592
\(506\) 19869.7 2634.88i 0.0776053 0.0102910i
\(507\) 53387.4 + 100336.i 0.207693 + 0.390336i
\(508\) −33904.8 125591.i −0.131381 0.486665i
\(509\) −47278.6 81888.9i −0.182486 0.316074i 0.760241 0.649641i \(-0.225081\pi\)
−0.942726 + 0.333567i \(0.891748\pi\)
\(510\) −225276. + 21972.2i −0.866113 + 0.0844761i
\(511\) −249255. 143908.i −0.954559 0.551115i
\(512\) −98268.5 + 243028.i −0.374865 + 0.927080i
\(513\) −24460.5 + 234727.i −0.0929462 + 0.891927i
\(514\) 144883. + 188449.i 0.548392 + 0.713291i
\(515\) 343990. + 198603.i 1.29698 + 0.748809i
\(516\) −21764.3 + 20384.1i −0.0817419 + 0.0765583i
\(517\) 13414.4 + 23234.4i 0.0501869 + 0.0869263i
\(518\) −112615. 46522.9i −0.419698 0.173383i
\(519\) 223583. + 420199.i 0.830049 + 1.55998i
\(520\) −22855.2 + 177463.i −0.0845238 + 0.656299i
\(521\) 369932. 1.36285 0.681423 0.731890i \(-0.261362\pi\)
0.681423 + 0.731890i \(0.261362\pi\)
\(522\) −391156. + 24524.7i −1.43552 + 0.0900043i
\(523\) 65267.4i 0.238612i −0.992858 0.119306i \(-0.961933\pi\)
0.992858 0.119306i \(-0.0380670\pi\)
\(524\) 183791. 184483.i 0.669364 0.671882i
\(525\) 4001.90 115578.i 0.0145193 0.419331i
\(526\) −92942.5 38395.9i −0.335925 0.138776i
\(527\) 203975. 117765.i 0.734440 0.424029i
\(528\) −26527.7 + 42838.2i −0.0951549 + 0.153661i
\(529\) −113670. + 196882.i −0.406195 + 0.703551i
\(530\) 153051. + 199073.i 0.544859 + 0.708696i
\(531\) 99146.4 + 66789.9i 0.351632 + 0.236876i
\(532\) 127257. 478523.i 0.449634 1.69075i
\(533\) −20753.7 + 35946.4i −0.0730534 + 0.126532i
\(534\) −23075.0 + 50799.5i −0.0809206 + 0.178146i
\(535\) −167172. + 96516.6i −0.584057 + 0.337205i
\(536\) 9621.76 12612.7i 0.0334907 0.0439014i
\(537\) −250702. 156553.i −0.869378 0.542891i
\(538\) −10125.2 + 1342.68i −0.0349815 + 0.00463882i
\(539\) 147346.i 0.507179i
\(540\) 163137. + 200323.i 0.559456 + 0.686980i
\(541\) 176002. 0.601343 0.300671 0.953728i \(-0.402789\pi\)
0.300671 + 0.953728i \(0.402789\pi\)
\(542\) 2430.96 + 18331.9i 0.00827520 + 0.0624036i
\(543\) 108491. 173735.i 0.367953 0.589235i
\(544\) 229777. 178034.i 0.776442 0.601596i
\(545\) −134690. 233290.i −0.453463 0.785421i
\(546\) 395506. + 179653.i 1.32668 + 0.602629i
\(547\) 236509. + 136549.i 0.790448 + 0.456365i 0.840120 0.542400i \(-0.182484\pi\)
−0.0496725 + 0.998766i \(0.515818\pi\)
\(548\) −101416. + 381351.i −0.337710 + 1.26988i
\(549\) −151298. 10490.0i −0.501982 0.0348040i
\(550\) −9321.85 + 7166.82i −0.0308160 + 0.0236920i
\(551\) −339133. 195798.i −1.11703 0.644920i
\(552\) 46604.5 + 123477.i 0.152950 + 0.405235i
\(553\) 343760. + 595409.i 1.12410 + 1.94700i
\(554\) −15050.2 + 36431.2i −0.0490370 + 0.118701i
\(555\) 63482.2 + 2198.07i 0.206094 + 0.00713601i
\(556\) 222688. 223526.i 0.720356 0.723066i
\(557\) −454335. −1.46442 −0.732211 0.681078i \(-0.761511\pi\)
−0.732211 + 0.681078i \(0.761511\pi\)
\(558\) −240770. 119584.i −0.773274 0.384065i
\(559\) 26138.5i 0.0836482i
\(560\) −272783. 468404.i −0.869845 1.49364i
\(561\) 49323.7 26244.6i 0.156722 0.0833899i
\(562\) −73945.8 + 178996.i −0.234121 + 0.566723i
\(563\) 27753.2 16023.3i 0.0875582 0.0505518i −0.455582 0.890194i \(-0.650569\pi\)
0.543140 + 0.839642i \(0.317235\pi\)
\(564\) −128936. + 120760.i −0.405338 + 0.379633i
\(565\) −226734. + 392714.i −0.710263 + 1.23021i
\(566\) 419318. 322380.i 1.30891 1.00632i
\(567\) 581256. 235642.i 1.80801 0.732971i
\(568\) 106234. + 254443.i 0.329282 + 0.788667i
\(569\) 138564. 240000.i 0.427982 0.741287i −0.568712 0.822537i \(-0.692558\pi\)
0.996694 + 0.0812502i \(0.0258913\pi\)
\(570\) 25057.9 + 256912.i 0.0771248 + 0.790742i
\(571\) 556449. 321266.i 1.70668 0.985355i 0.768085 0.640348i \(-0.221210\pi\)
0.938600 0.345007i \(-0.112123\pi\)
\(572\) −11511.4 42640.6i −0.0351831 0.130326i
\(573\) 456880. 243101.i 1.39153 0.740418i
\(574\) −16529.6 124651.i −0.0501694 0.378330i
\(575\) 30799.0i 0.0931540i
\(576\) −314366. 106061.i −0.947526 0.319678i
\(577\) 451002. 1.35465 0.677324 0.735685i \(-0.263140\pi\)
0.677324 + 0.735685i \(0.263140\pi\)
\(578\) 11664.5 1546.80i 0.0349148 0.00462997i
\(579\) −404232. 13996.5i −1.20580 0.0417507i
\(580\) −413864. + 111728.i −1.23027 + 0.332128i
\(581\) 158808. + 275063.i 0.470456 + 0.814854i
\(582\) 122243. + 170932.i 0.360893 + 0.504635i
\(583\) −53679.3 30991.8i −0.157932 0.0911820i
\(584\) −177812. + 74239.5i −0.521357 + 0.217675i
\(585\) −225915. 15663.4i −0.660135 0.0457692i
\(586\) −218250. 283876.i −0.635563 0.826674i
\(587\) −327761. 189233.i −0.951221 0.549188i −0.0577610 0.998330i \(-0.518396\pi\)
−0.893460 + 0.449143i \(0.851729\pi\)
\(588\) −944869. + 220304.i −2.73286 + 0.637187i
\(589\) −134303. 232620.i −0.387129 0.670528i
\(590\) 120850. + 49924.6i 0.347169 + 0.143420i
\(591\) 212202. 339818.i 0.607541 0.972908i
\(592\) −70491.8 + 41052.1i −0.201138 + 0.117136i
\(593\) 137966. 0.392339 0.196170 0.980570i \(-0.437150\pi\)
0.196170 + 0.980570i \(0.437150\pi\)
\(594\) −56098.3 30326.5i −0.158993 0.0859506i
\(595\) 601046.i 1.69775i
\(596\) −338750. 337480.i −0.953644 0.950070i
\(597\) −145553. 90892.1i −0.408389 0.255022i
\(598\) −106923. 44171.4i −0.298998 0.123521i
\(599\) −180870. + 104426.i −0.504096 + 0.291040i −0.730404 0.683016i \(-0.760668\pi\)
0.226307 + 0.974056i \(0.427335\pi\)
\(600\) −59895.4 49061.7i −0.166376 0.136283i
\(601\) −180004. + 311775.i −0.498348 + 0.863163i −0.999998 0.00190701i \(-0.999393\pi\)
0.501651 + 0.865070i \(0.332726\pi\)
\(602\) 48262.9 + 62775.3i 0.133174 + 0.173219i
\(603\) 16651.7 + 11217.4i 0.0457956 + 0.0308501i
\(604\) −92203.3 24520.4i −0.252739 0.0672130i
\(605\) 156846. 271665.i 0.428512 0.742204i
\(606\) −115157. 161024.i −0.313578 0.438474i
\(607\) 279709. 161490.i 0.759152 0.438297i −0.0698392 0.997558i \(-0.522249\pi\)
0.828991 + 0.559262i \(0.188915\pi\)
\(608\) −203036. 262045.i −0.549244 0.708875i
\(609\) −36013.8 + 1.04011e6i −0.0971034 + 2.80443i
\(610\) −164445. + 21806.6i −0.441937 + 0.0586042i
\(611\) 154850.i 0.414791i
\(612\) 242042. + 277053.i 0.646230 + 0.739707i
\(613\) −392554. −1.04467 −0.522334 0.852741i \(-0.674939\pi\)
−0.522334 + 0.852741i \(0.674939\pi\)
\(614\) −32983.5 248730.i −0.0874904 0.659769i
\(615\) 30791.4 + 57869.0i 0.0814103 + 0.153002i
\(616\) 106379. + 81152.6i 0.280346 + 0.213866i
\(617\) −192102. 332730.i −0.504616 0.874020i −0.999986 0.00533786i \(-0.998301\pi\)
0.495370 0.868682i \(-0.335032\pi\)
\(618\) −62670.8 642548.i −0.164092 1.68240i
\(619\) −602573. 347896.i −1.57264 0.907962i −0.995844 0.0910712i \(-0.970971\pi\)
−0.576792 0.816891i \(1.30430\pi\)
\(620\) −284166. 75570.6i −0.739247 0.196594i
\(621\) −152535. + 68074.9i −0.395536 + 0.176524i
\(622\) 389360. 299347.i 1.00640 0.773739i
\(623\) 128310. + 74079.7i 0.330586 + 0.190864i
\(624\) 256225. 137571.i 0.658041 0.353313i
\(625\) 144273. + 249889.i 0.369339 + 0.639715i
\(626\) −74208.4 + 179632.i −0.189367 + 0.458389i
\(627\) −29930.2 56250.4i −0.0761332 0.143084i
\(628\) 396575. + 395089.i 1.00556 + 1.00179i
\(629\) 90453.5 0.228625
\(630\) 571488. 379518.i 1.43988 0.956205i
\(631\) 230753.i 0.579546i 0.957095 + 0.289773i \(0.0935798\pi\)
−0.957095 + 0.289773i \(0.906420\pi\)
\(632\) 456513. + 58793.7i 1.14293 + 0.147196i
\(633\) −296.775 + 8571.13i −0.000740662 + 0.0213910i
\(634\) −168203. + 407158.i −0.418461 + 1.01294i
\(635\) 155955. 90040.8i 0.386770 0.223302i
\(636\) 118479. 390560.i 0.292905 0.965548i
\(637\) 425225. 736511.i 1.04795 1.81510i
\(638\) 83889.0 64495.5i 0.206093 0.158449i
\(639\) −313562. + 153164.i −0.767931 + 0.375107i
\(640\) −360090. 45001.6i −0.879126 0.109867i
\(641\) −259471. + 449416.i −0.631498 + 1.09379i 0.355747 + 0.934582i \(0.384226\pi\)
−0.987246 + 0.159205i \(0.949107\pi\)
\(642\) 285657. + 129756.i 0.693067 + 0.314816i
\(643\) −195039. + 112606.i −0.471738 + 0.272358i −0.716967 0.697107i \(-0.754470\pi\)
0.245229 + 0.969465i \(0.421137\pi\)
\(644\) 338351. 91341.9i 0.815821 0.220241i
\(645\) −35013.5 21864.5i −0.0841620 0.0525557i
\(646\) 48321.1 + 364392.i 0.115790 + 0.873179i
\(647\) 153505.i 0.366703i −0.983047 0.183352i \(-0.941305\pi\)
0.983047 0.183352i \(-0.0586947\pi\)
\(648\) 110596. 405078.i 0.263384 0.964691i
\(649\) −32276.0 −0.0766284
\(650\) 67278.0 8921.58i 0.159238 0.0211162i
\(651\) −378113. + 605505.i −0.892194 + 1.42875i
\(652\) 60507.5 + 224133.i 0.142336 + 0.527243i
\(653\) −36120.4 62562.3i −0.0847082 0.146719i 0.820559 0.571562i \(-0.193662\pi\)
−0.905267 + 0.424843i \(0.860329\pi\)
\(654\) −181076. + 398637.i −0.423355 + 0.932014i
\(655\) 312193. + 180245.i 0.727681 + 0.420127i
\(656\) −73061.5 41817.1i −0.169778 0.0971731i
\(657\) −107035. 219126.i −0.247968 0.507649i
\(658\) 285920. + 371895.i 0.660378 + 0.858950i
\(659\) 203157. + 117293.i 0.467802 + 0.270086i 0.715319 0.698798i \(-0.246281\pi\)
−0.247517 + 0.968883i \(0.579615\pi\)
\(660\) −66747.8 20248.4i −0.153232 0.0464838i
\(661\) −298973. 517837.i −0.684274 1.18520i −0.973665 0.227986i \(-0.926786\pi\)
0.289391 0.957211i \(-0.406547\pi\)
\(662\) −682164. 281812.i −1.55659 0.643048i
\(663\) −322284. 11159.1i −0.733182 0.0253864i
\(664\) 210897. + 27161.1i 0.478337 + 0.0616043i
\(665\) 685452. 1.55001
\(666\) −57114.9 86005.2i −0.128766 0.193899i
\(667\) 277166.i 0.623001i
\(668\) −503844. + 505739.i −1.12913 + 1.13338i
\(669\) 344366. 183233.i 0.769428 0.409404i
\(670\) 20296.7 + 8384.87i 0.0452144 + 0.0186787i
\(671\) 35461.3 20473.6i 0.0787607 0.0454725i
\(672\) −361346. + 803500.i −0.800174 + 1.77929i
\(673\) 375852. 650996.i 0.829826 1.43730i −0.0683477 0.997662i \(-0.521773\pi\)
0.898174 0.439640i \(-0.144894\pi\)
\(674\) 159998. + 208109.i 0.352204 + 0.458111i
\(675\) 57526.8 79326.6i 0.126259 0.174105i
\(676\) 51928.7 195266.i 0.113636 0.427301i
\(677\) 42323.8 73307.0i 0.0923437 0.159944i −0.816153 0.577836i \(-0.803897\pi\)
0.908497 + 0.417892i \(0.137231\pi\)
\(678\) 733561. 71547.7i 1.59580 0.155645i
\(679\) 483267. 279014.i 1.04821 0.605183i
\(680\) 319927. + 244060.i 0.691883 + 0.527812i
\(681\) 47731.4 25397.3i 0.102922 0.0547638i
\(682\) 71952.2 9541.41i 0.154695 0.0205137i
\(683\) 635506.i 1.36232i 0.732136 + 0.681159i \(0.238524\pi\)
−0.732136 + 0.681159i \(0.761476\pi\)
\(684\) 315960. 276032.i 0.675336 0.589994i
\(685\) −546260. −1.16418
\(686\) 217987. + 1.64385e6i 0.463214 + 3.49312i
\(687\) −36665.2 1269.53i −0.0776855 0.00268986i
\(688\) 53011.8 199.053i 0.111994 0.000420525i
\(689\) 178878. + 309825.i 0.376806 + 0.652647i
\(690\) −148609. + 106279.i −0.312138 + 0.223228i
\(691\) −384843. 222189.i −0.805986 0.465336i 0.0395741 0.999217i \(-0.487400\pi\)
−0.845560 + 0.533881i \(0.820733\pi\)
\(692\) 217474. 817762.i 0.454145 1.70771i
\(693\) −94610.6 + 140445.i −0.197003 + 0.292442i
\(694\) 332553. 255673.i 0.690466 0.530844i
\(695\) 378265. + 218391.i 0.783116 + 0.452132i
\(696\) 539009. + 441515.i 1.11270 + 0.911438i
\(697\) 46672.6 + 80839.4i 0.0960720 + 0.166402i
\(698\) 133397. 322906.i 0.273802 0.662775i
\(699\) 178418. 285716.i 0.365161 0.584764i
\(700\) −145105. + 145651.i −0.296132 + 0.297246i
\(701\) −374624. −0.762359 −0.381179 0.924501i \(-0.624482\pi\)
−0.381179 + 0.924501i \(0.624482\pi\)
\(702\) 192889. + 313481.i 0.391411 + 0.636117i
\(703\) 103156.i 0.208730i
\(704\) 86392.4 23671.1i 0.174313 0.0477609i
\(705\) −207428. 129530.i −0.417338 0.260610i
\(706\) −74390.9 + 180073.i −0.149249 + 0.361277i
\(707\) −455254. + 262841.i −0.910783 + 0.525841i
\(708\) −48257.2 206972.i −0.0962711 0.412901i
\(709\) −92815.5 + 160761.i −0.184641 + 0.319808i −0.943456 0.331499i \(-0.892446\pi\)
0.758814 + 0.651307i \(0.225779\pi\)
\(710\) −302603. + 232647.i −0.600284 + 0.461510i
\(711\) −40293.0 + 581151.i −0.0797059 + 1.14961i
\(712\) 91532.8 38216.5i 0.180558 0.0753860i
\(713\) 95057.9 164645.i 0.186986 0.323869i
\(714\) 794615. 568275.i 1.55869 1.11471i
\(715\) 52950.0 30570.7i 0.103575 0.0597989i
\(716\) 136950. + 507293.i 0.267138 + 0.989539i
\(717\) 7987.96 230699.i 0.0155381 0.448753i
\(718\) −57530.0 433836.i −0.111595 0.841544i
\(719\) 651163.i 1.25960i 0.776759 + 0.629799i \(0.216863\pi\)
−0.776759 + 0.629799i \(0.783137\pi\)
\(720\) 30046.7 458300.i 0.0579604 0.884066i
\(721\) −1.71435e6 −3.29783
\(722\) −101196. + 13419.4i −0.194129 + 0.0257429i
\(723\) −323840. 608621.i −0.619519 1.16432i
\(724\) −351552. + 94905.9i −0.670676 + 0.181057i
\(725\) 81298.3 + 140813.i 0.154670 + 0.267896i
\(726\) −507450. + 49494.1i −0.962765 + 0.0939031i
\(727\) −207917. 120041.i −0.393389 0.227123i 0.290239 0.956954i \(-0.406265\pi\)
−0.683627 + 0.729831i \(0.739599\pi\)
\(728\) −297539. 712640.i −0.561412 1.34465i
\(729\) 520023. + 109571.i 0.978515 + 0.206178i
\(730\) −162581. 211468.i −0.305086 0.396825i
\(731\) −50907.1 29391.2i −0.0952673 0.0550026i
\(732\) 184308. + 196787.i 0.343972 + 0.367261i
\(733\) 27840.0 + 48220.4i 0.0518158 + 0.0897475i 0.890770 0.454455i \(-0.150166\pi\)
−0.838954 + 0.544202i \(0.816832\pi\)
\(734\) 4750.49 + 1962.49i 0.00881752 + 0.00364264i
\(735\) −630889. 1.18569e6i −1.16783 2.19480i
\(736\) 88770.5 217189.i 0.163875 0.400942i
\(737\) −5420.76 −0.00997988
\(738\) 47393.4 95421.7i 0.0870173 0.175200i
\(739\) 327859.i 0.600341i −0.953886 0.300170i \(-0.902957\pi\)
0.953886 0.300170i \(-0.0970435\pi\)
\(740\) −79999.7 79699.9i −0.146091 0.145544i
\(741\) −12726.2 + 367543.i −0.0231772 + 0.669379i
\(742\) −1.00167e6 413805.i −1.81936 0.751602i
\(743\) 11150.8 6437.91i 0.0201989 0.0116618i −0.489867 0.871797i \(-0.662955\pi\)
0.510065 + 0.860136i \(0.329621\pi\)
\(744\) 168764. + 447134.i 0.304884 + 0.807777i
\(745\) 330968. 573254.i 0.596312 1.03284i
\(746\) −179327. 233250.i −0.322232 0.419126i
\(747\) −18614.3 + 268476.i −0.0333584 + 0.481132i
\(748\) −95990.4 25527.5i −0.171563 0.0456252i
\(749\) 416567. 721516.i 0.742543 1.28612i
\(750\) 250431. 551323.i 0.445211 0.980129i
\(751\) −460430. + 265829.i −0.816363 + 0.471328i −0.849161 0.528134i \(-0.822892\pi\)
0.0327975 + 0.999462i \(0.489558\pi\)
\(752\) 314054. 1179.23i 0.555352 0.00208528i
\(753\) 508739. + 317687.i 0.897233 + 0.560285i
\(754\) −605447. + 80286.9i −1.06496 + 0.141222i
\(755\) 132075.i 0.231701i
\(756\) −1.04207e6 396713.i −1.82328 0.694117i
\(757\) 614542. 1.07241 0.536204 0.844089i \(-0.319858\pi\)
0.536204 + 0.844089i \(0.319858\pi\)
\(758\) −73126.6 551451.i −0.127273 0.959774i
\(759\) 23887.1 38252.6i 0.0414649 0.0664014i
\(760\) 278334. 364855.i 0.481880 0.631674i
\(761\) 410349. + 710745.i 0.708571 + 1.22728i 0.965387 + 0.260821i \(0.0839933\pi\)
−0.256816 + 0.966460i \(0.582673\pi\)
\(762\)