Properties

Label 36.5.f.a.7.14
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 7.14
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.29332 - 3.78514i) q^{2} +(8.65442 - 2.47004i) q^{3} +(-12.6546 - 9.79083i) q^{4} +(-10.5756 - 18.3175i) q^{5} +(1.84350 - 35.9528i) q^{6} +(38.6407 + 22.3092i) q^{7} +(-53.4262 + 35.2369i) q^{8} +(68.7978 - 42.7535i) q^{9} +O(q^{10})\) \(q+(1.29332 - 3.78514i) q^{2} +(8.65442 - 2.47004i) q^{3} +(-12.6546 - 9.79083i) q^{4} +(-10.5756 - 18.3175i) q^{5} +(1.84350 - 35.9528i) q^{6} +(38.6407 + 22.3092i) q^{7} +(-53.4262 + 35.2369i) q^{8} +(68.7978 - 42.7535i) q^{9} +(-83.0119 + 16.3397i) q^{10} +(-58.6904 - 33.8849i) q^{11} +(-133.702 - 53.4765i) q^{12} +(14.5519 + 25.2046i) q^{13} +(134.419 - 117.408i) q^{14} +(-136.770 - 132.405i) q^{15} +(64.2793 + 247.799i) q^{16} +402.841 q^{17} +(-72.8504 - 315.704i) q^{18} +644.741i q^{19} +(-45.5130 + 335.344i) q^{20} +(389.517 + 97.6292i) q^{21} +(-204.165 + 178.327i) q^{22} +(335.527 - 193.717i) q^{23} +(-375.336 + 436.920i) q^{24} +(88.8138 - 153.830i) q^{25} +(114.223 - 22.4833i) q^{26} +(489.802 - 539.940i) q^{27} +(-270.558 - 660.639i) q^{28} +(-362.210 + 627.366i) q^{29} +(-678.059 + 346.453i) q^{30} +(-1090.90 + 629.833i) q^{31} +(1021.09 + 77.1774i) q^{32} +(-591.628 - 148.287i) q^{33} +(521.004 - 1524.81i) q^{34} -943.733i q^{35} +(-1289.20 - 132.558i) q^{36} -1402.04 q^{37} +(2440.44 + 833.859i) q^{38} +(188.194 + 182.187i) q^{39} +(1210.46 + 605.982i) q^{40} +(-774.166 - 1340.89i) q^{41} +(873.312 - 1348.11i) q^{42} +(1620.98 + 935.875i) q^{43} +(410.944 + 1003.43i) q^{44} +(-1510.71 - 808.057i) q^{45} +(-299.300 - 1520.56i) q^{46} +(-3610.63 - 2084.60i) q^{47} +(1168.37 + 1985.78i) q^{48} +(-205.097 - 355.239i) q^{49} +(-467.404 - 535.125i) q^{50} +(3486.36 - 995.034i) q^{51} +(62.6253 - 461.430i) q^{52} +906.566 q^{53} +(-1410.28 - 2552.29i) q^{54} +1433.41i q^{55} +(-2850.53 + 169.681i) q^{56} +(1592.54 + 5579.86i) q^{57} +(1906.22 + 2182.40i) q^{58} +(-3916.45 + 2261.16i) q^{59} +(434.426 + 3014.63i) q^{60} +(-1314.22 + 2276.30i) q^{61} +(973.119 + 4943.80i) q^{62} +(3612.19 - 117.200i) q^{63} +(1612.72 - 3765.15i) q^{64} +(307.789 - 533.107i) q^{65} +(-1326.45 + 2047.62i) q^{66} +(-58.7165 + 33.9000i) q^{67} +(-5097.81 - 3944.15i) q^{68} +(2425.30 - 2505.27i) q^{69} +(-3572.16 - 1220.55i) q^{70} +1315.04i q^{71} +(-2169.11 + 4708.38i) q^{72} +9470.72 q^{73} +(-1813.29 + 5306.91i) q^{74} +(388.665 - 1550.68i) q^{75} +(6312.55 - 8158.96i) q^{76} +(-1511.89 - 2618.67i) q^{77} +(933.001 - 476.716i) q^{78} +(-3783.95 - 2184.67i) q^{79} +(3859.25 - 3798.05i) q^{80} +(2905.28 - 5882.69i) q^{81} +(-6076.73 + 1196.12i) q^{82} +(-659.925 - 381.008i) q^{83} +(-3973.33 - 5049.16i) q^{84} +(-4260.28 - 7379.03i) q^{85} +(5638.88 - 4925.26i) q^{86} +(-1585.10 + 6324.16i) q^{87} +(4329.61 - 257.724i) q^{88} +8083.40 q^{89} +(-5012.45 + 4673.19i) q^{90} +1298.56i q^{91} +(-6142.62 - 833.676i) q^{92} +(-7885.41 + 8145.41i) q^{93} +(-12560.2 + 10970.7i) q^{94} +(11810.0 - 6818.52i) q^{95} +(9027.55 - 1854.20i) q^{96} +(-3332.71 + 5772.42i) q^{97} +(-1609.89 + 316.884i) q^{98} +(-5486.47 + 178.012i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.29332 3.78514i 0.323331 0.946286i
\(3\) 8.65442 2.47004i 0.961602 0.274449i
\(4\) −12.6546 9.79083i −0.790914 0.611927i
\(5\) −10.5756 18.3175i −0.423024 0.732698i 0.573210 0.819409i \(-0.305698\pi\)
−0.996234 + 0.0867102i \(0.972365\pi\)
\(6\) 1.84350 35.9528i 0.0512083 0.998688i
\(7\) 38.6407 + 22.3092i 0.788586 + 0.455290i 0.839464 0.543415i \(-0.182869\pi\)
−0.0508787 + 0.998705i \(0.516202\pi\)
\(8\) −53.4262 + 35.2369i −0.834785 + 0.550576i
\(9\) 68.7978 42.7535i 0.849356 0.527821i
\(10\) −83.0119 + 16.3397i −0.830119 + 0.163397i
\(11\) −58.6904 33.8849i −0.485045 0.280041i 0.237472 0.971394i \(-0.423681\pi\)
−0.722516 + 0.691354i \(0.757015\pi\)
\(12\) −133.702 53.4765i −0.928487 0.371364i
\(13\) 14.5519 + 25.2046i 0.0861058 + 0.149140i 0.905862 0.423573i \(-0.139224\pi\)
−0.819756 + 0.572713i \(0.805891\pi\)
\(14\) 134.419 117.408i 0.685809 0.599018i
\(15\) −136.770 132.405i −0.607868 0.588466i
\(16\) 64.2793 + 247.799i 0.251091 + 0.967963i
\(17\) 402.841 1.39391 0.696957 0.717113i \(-0.254537\pi\)
0.696957 + 0.717113i \(0.254537\pi\)
\(18\) −72.8504 315.704i −0.224847 0.974394i
\(19\) 644.741i 1.78599i 0.450070 + 0.892993i \(0.351399\pi\)
−0.450070 + 0.892993i \(0.648601\pi\)
\(20\) −45.5130 + 335.344i −0.113782 + 0.838361i
\(21\) 389.517 + 97.6292i 0.883259 + 0.221381i
\(22\) −204.165 + 178.327i −0.421828 + 0.368445i
\(23\) 335.527 193.717i 0.634267 0.366194i −0.148136 0.988967i \(-0.547327\pi\)
0.782403 + 0.622773i \(0.213994\pi\)
\(24\) −375.336 + 436.920i −0.651625 + 0.758541i
\(25\) 88.8138 153.830i 0.142102 0.246128i
\(26\) 114.223 22.4833i 0.168969 0.0332593i
\(27\) 489.802 539.940i 0.671882 0.740658i
\(28\) −270.558 660.639i −0.345099 0.842652i
\(29\) −362.210 + 627.366i −0.430690 + 0.745977i −0.996933 0.0782617i \(-0.975063\pi\)
0.566243 + 0.824238i \(0.308396\pi\)
\(30\) −678.059 + 346.453i −0.753399 + 0.384948i
\(31\) −1090.90 + 629.833i −1.13517 + 0.655393i −0.945231 0.326402i \(-0.894164\pi\)
−0.189944 + 0.981795i \(0.560831\pi\)
\(32\) 1021.09 + 77.1774i 0.997156 + 0.0753685i
\(33\) −591.628 148.287i −0.543277 0.136168i
\(34\) 521.004 1524.81i 0.450695 1.31904i
\(35\) 943.733i 0.770394i
\(36\) −1289.20 132.558i −0.994755 0.102282i
\(37\) −1402.04 −1.02413 −0.512066 0.858946i \(-0.671120\pi\)
−0.512066 + 0.858946i \(0.671120\pi\)
\(38\) 2440.44 + 833.859i 1.69005 + 0.577464i
\(39\) 188.194 + 182.187i 0.123731 + 0.119781i
\(40\) 1210.46 + 605.982i 0.756540 + 0.378739i
\(41\) −774.166 1340.89i −0.460539 0.797677i 0.538449 0.842658i \(-0.319010\pi\)
−0.998988 + 0.0449815i \(0.985677\pi\)
\(42\) 873.312 1348.11i 0.495075 0.764236i
\(43\) 1620.98 + 935.875i 0.876681 + 0.506152i 0.869563 0.493823i \(-0.164401\pi\)
0.00711825 + 0.999975i \(0.497734\pi\)
\(44\) 410.944 + 1003.43i 0.212264 + 0.518300i
\(45\) −1510.71 808.057i −0.746031 0.399041i
\(46\) −299.300 1520.56i −0.141446 0.718599i
\(47\) −3610.63 2084.60i −1.63451 0.943683i −0.982679 0.185316i \(-0.940669\pi\)
−0.651828 0.758367i \(1.27400\pi\)
\(48\) 1168.37 + 1985.78i 0.507106 + 0.861884i
\(49\) −205.097 355.239i −0.0854217 0.147955i
\(50\) −467.404 535.125i −0.186962 0.214050i
\(51\) 3486.36 995.034i 1.34039 0.382558i
\(52\) 62.6253 461.430i 0.0231602 0.170647i
\(53\) 906.566 0.322736 0.161368 0.986894i \(-0.448409\pi\)
0.161368 + 0.986894i \(0.448409\pi\)
\(54\) −1410.28 2552.29i −0.483634 0.875270i
\(55\) 1433.41i 0.473855i
\(56\) −2850.53 + 169.681i −0.908971 + 0.0541073i
\(57\) 1592.54 + 5579.86i 0.490162 + 1.71741i
\(58\) 1906.22 + 2182.40i 0.566652 + 0.648753i
\(59\) −3916.45 + 2261.16i −1.12509 + 0.649573i −0.942696 0.333652i \(-0.891719\pi\)
−0.182397 + 0.983225i \(0.558386\pi\)
\(60\) 434.426 + 3014.63i 0.120674 + 0.837397i
\(61\) −1314.22 + 2276.30i −0.353190 + 0.611743i −0.986806 0.161904i \(-0.948236\pi\)
0.633617 + 0.773647i \(0.281570\pi\)
\(62\) 973.119 + 4943.80i 0.253153 + 1.28611i
\(63\) 3612.19 117.200i 0.910101 0.0295289i
\(64\) 1612.72 3765.15i 0.393731 0.919226i
\(65\) 307.789 533.107i 0.0728496 0.126179i
\(66\) −1326.45 + 2047.62i −0.304512 + 0.470068i
\(67\) −58.7165 + 33.9000i −0.0130801 + 0.00755179i −0.506526 0.862225i \(-0.669070\pi\)
0.493446 + 0.869777i \(0.335737\pi\)
\(68\) −5097.81 3944.15i −1.10247 0.852974i
\(69\) 2425.30 2505.27i 0.509410 0.526206i
\(70\) −3572.16 1220.55i −0.729013 0.249092i
\(71\) 1315.04i 0.260869i 0.991457 + 0.130434i \(0.0416372\pi\)
−0.991457 + 0.130434i \(0.958363\pi\)
\(72\) −2169.11 + 4708.38i −0.418423 + 0.908252i
\(73\) 9470.72 1.77720 0.888602 0.458680i \(-0.151678\pi\)
0.888602 + 0.458680i \(0.151678\pi\)
\(74\) −1813.29 + 5306.91i −0.331133 + 0.969121i
\(75\) 388.665 1550.68i 0.0690960 0.275677i
\(76\) 6312.55 8158.96i 1.09289 1.41256i
\(77\) −1511.89 2618.67i −0.255000 0.441672i
\(78\) 933.001 476.716i 0.153353 0.0783556i
\(79\) −3783.95 2184.67i −0.606305 0.350050i 0.165213 0.986258i \(-0.447169\pi\)
−0.771518 + 0.636207i \(0.780502\pi\)
\(80\) 3859.25 3798.05i 0.603008 0.593445i
\(81\) 2905.28 5882.69i 0.442810 0.896616i
\(82\) −6076.73 + 1196.12i −0.903737 + 0.177888i
\(83\) −659.925 381.008i −0.0957940 0.0553067i 0.451338 0.892353i \(-0.350947\pi\)
−0.547132 + 0.837047i \(0.684280\pi\)
\(84\) −3973.33 5049.16i −0.563113 0.715584i
\(85\) −4260.28 7379.03i −0.589659 1.02132i
\(86\) 5638.88 4925.26i 0.762422 0.665936i
\(87\) −1585.10 + 6324.16i −0.209420 + 0.835535i
\(88\) 4329.61 257.724i 0.559092 0.0332804i
\(89\) 8083.40 1.02050 0.510251 0.860025i \(-0.329552\pi\)
0.510251 + 0.860025i \(0.329552\pi\)
\(90\) −5012.45 + 4673.19i −0.618821 + 0.576937i
\(91\) 1298.56i 0.156813i
\(92\) −6142.62 833.676i −0.725734 0.0984967i
\(93\) −7885.41 + 8145.41i −0.911714 + 0.941775i
\(94\) −12560.2 + 10970.7i −1.42148 + 1.24159i
\(95\) 11810.0 6818.52i 1.30859 0.755514i
\(96\) 9027.55 1854.20i 0.979551 0.201194i
\(97\) −3332.71 + 5772.42i −0.354204 + 0.613500i −0.986981 0.160834i \(-0.948582\pi\)
0.632777 + 0.774334i \(0.281915\pi\)
\(98\) −1609.89 + 316.884i −0.167627 + 0.0329950i
\(99\) −5486.47 + 178.012i −0.559787 + 0.0181627i
\(100\) −2630.03 + 1077.10i −0.263003 + 0.107710i
\(101\) −4643.04 + 8041.97i −0.455155 + 0.788352i −0.998697 0.0510303i \(-0.983749\pi\)
0.543542 + 0.839382i \(0.317083\pi\)
\(102\) 742.638 14483.3i 0.0713800 1.39209i
\(103\) 9792.48 5653.69i 0.923035 0.532915i 0.0384332 0.999261i \(-0.487763\pi\)
0.884602 + 0.466346i \(0.154430\pi\)
\(104\) −1665.58 833.824i −0.153993 0.0770917i
\(105\) −2331.06 8167.45i −0.211434 0.740812i
\(106\) 1172.48 3431.48i 0.104351 0.305401i
\(107\) 6261.61i 0.546913i 0.961884 + 0.273456i \(0.0881669\pi\)
−0.961884 + 0.273456i \(0.911833\pi\)
\(108\) −11484.7 + 2037.17i −0.984630 + 0.174655i
\(109\) 3452.85 0.290620 0.145310 0.989386i \(-0.453582\pi\)
0.145310 + 0.989386i \(0.453582\pi\)
\(110\) 5425.67 + 1853.87i 0.448403 + 0.153212i
\(111\) −12133.8 + 3463.08i −0.984806 + 0.281072i
\(112\) −3044.40 + 11009.1i −0.242697 + 0.877641i
\(113\) 1272.55 + 2204.13i 0.0996597 + 0.172616i 0.911544 0.411203i \(-0.134891\pi\)
−0.811884 + 0.583819i \(0.801558\pi\)
\(114\) 23180.2 + 1188.58i 1.78364 + 0.0914573i
\(115\) −7096.79 4097.33i −0.536619 0.309817i
\(116\) 10726.1 4392.75i 0.797122 0.326453i
\(117\) 2078.72 + 1111.88i 0.151853 + 0.0812241i
\(118\) 3493.59 + 17748.7i 0.250904 + 1.27469i
\(119\) 15566.1 + 8987.07i 1.09922 + 0.634636i
\(120\) 11972.7 + 2254.52i 0.831435 + 0.156564i
\(121\) −5024.12 8702.04i −0.343154 0.594361i
\(122\) 6916.39 + 7918.50i 0.464687 + 0.532014i
\(123\) −10012.0 9692.44i −0.661776 0.640653i
\(124\) 19971.6 + 2710.54i 1.29888 + 0.176284i
\(125\) −16976.5 −1.08650
\(126\) 4228.11 13824.2i 0.266321 0.870764i
\(127\) 530.060i 0.0328638i −0.999865 0.0164319i \(-0.994769\pi\)
0.999865 0.0164319i \(-0.00523067\pi\)
\(128\) −12165.9 10973.9i −0.742545 0.669796i
\(129\) 16340.3 + 4095.56i 0.981931 + 0.246112i
\(130\) −1619.82 1854.51i −0.0958471 0.109734i
\(131\) 802.198 463.149i 0.0467454 0.0269885i −0.476445 0.879204i \(-0.658075\pi\)
0.523191 + 0.852216i \(0.324742\pi\)
\(132\) 6034.99 + 7669.04i 0.346361 + 0.440143i
\(133\) −14383.7 + 24913.2i −0.813142 + 1.40840i
\(134\) 52.3769 + 266.094i 0.00291696 + 0.0148192i
\(135\) −15070.3 3261.74i −0.826901 0.178971i
\(136\) −21522.3 + 14194.9i −1.16362 + 0.767456i
\(137\) −834.113 + 1444.73i −0.0444410 + 0.0769741i −0.887390 0.461019i \(-0.847484\pi\)
0.842949 + 0.537993i \(0.180817\pi\)
\(138\) −6346.10 12420.2i −0.333234 0.652187i
\(139\) −717.766 + 414.402i −0.0371495 + 0.0214483i −0.518460 0.855102i \(-0.673494\pi\)
0.481310 + 0.876550i \(0.340161\pi\)
\(140\) −9239.93 + 11942.6i −0.471425 + 0.609316i
\(141\) −36396.9 9122.57i −1.83074 0.458859i
\(142\) 4977.62 + 1700.77i 0.246857 + 0.0843470i
\(143\) 1972.36i 0.0964525i
\(144\) 15016.5 + 14299.8i 0.724177 + 0.689614i
\(145\) 15322.3 0.728768
\(146\) 12248.7 35848.0i 0.574625 1.68174i
\(147\) −2652.45 2567.79i −0.122748 0.118830i
\(148\) 17742.2 + 13727.1i 0.810000 + 0.626693i
\(149\) −1561.38 2704.39i −0.0703292 0.121814i 0.828716 0.559669i \(-0.189072\pi\)
−0.899046 + 0.437855i \(0.855738\pi\)
\(150\) −5366.89 3476.69i −0.238528 0.154519i
\(151\) 7932.37 + 4579.76i 0.347896 + 0.200858i 0.663758 0.747947i \(-0.268960\pi\)
−0.315862 + 0.948805i \(0.602294\pi\)
\(152\) −22718.7 34446.1i −0.983322 1.49091i
\(153\) 27714.6 17222.9i 1.18393 0.735737i
\(154\) −11867.4 + 2335.94i −0.500397 + 0.0984963i
\(155\) 23073.9 + 13321.7i 0.960411 + 0.554494i
\(156\) −597.765 4148.09i −0.0245630 0.170451i
\(157\) −10551.8 18276.3i −0.428084 0.741463i 0.568619 0.822601i \(-0.307478\pi\)
−0.996703 + 0.0811381i \(0.974145\pi\)
\(158\) −13163.1 + 11497.3i −0.527285 + 0.460556i
\(159\) 7845.80 2239.25i 0.310344 0.0885746i
\(160\) −9384.91 19519.9i −0.366598 0.762497i
\(161\) 17286.7 0.666898
\(162\) −18509.4 18605.1i −0.705281 0.708928i
\(163\) 42771.0i 1.60981i −0.593405 0.804904i \(-0.702217\pi\)
0.593405 0.804904i \(-0.297783\pi\)
\(164\) −3331.69 + 24548.2i −0.123873 + 0.912710i
\(165\) 3540.59 + 12405.3i 0.130049 + 0.455660i
\(166\) −2295.66 + 2005.14i −0.0833091 + 0.0727661i
\(167\) −9568.12 + 5524.16i −0.343079 + 0.198077i −0.661633 0.749828i \(-0.730136\pi\)
0.318554 + 0.947905i \(0.396803\pi\)
\(168\) −24250.6 + 8509.42i −0.859219 + 0.301496i
\(169\) 13857.0 24001.0i 0.485172 0.840342i
\(170\) −33440.6 + 6582.32i −1.15711 + 0.227762i
\(171\) 27564.9 + 44356.8i 0.942681 + 1.51694i
\(172\) −11349.9 27713.9i −0.383651 0.936787i
\(173\) 10967.8 18996.8i 0.366461 0.634729i −0.622549 0.782581i \(-0.713903\pi\)
0.989009 + 0.147852i \(0.0472360\pi\)
\(174\) 21887.8 + 14179.0i 0.722943 + 0.468325i
\(175\) 6863.66 3962.73i 0.224119 0.129395i
\(176\) 4624.06 16721.5i 0.149279 0.539821i
\(177\) −28309.4 + 29242.8i −0.903617 + 0.933411i
\(178\) 10454.4 30596.8i 0.329960 0.965687i
\(179\) 11479.2i 0.358265i 0.983825 + 0.179133i \(0.0573291\pi\)
−0.983825 + 0.179133i \(0.942671\pi\)
\(180\) 11206.0 + 25016.8i 0.345863 + 0.772123i
\(181\) 45472.2 1.38800 0.693999 0.719976i \(-0.255847\pi\)
0.693999 + 0.719976i \(0.255847\pi\)
\(182\) 4915.25 + 1679.46i 0.148389 + 0.0507023i
\(183\) −5751.26 + 22946.2i −0.171736 + 0.685186i
\(184\) −11100.0 + 22172.5i −0.327858 + 0.654905i
\(185\) 14827.4 + 25681.7i 0.433232 + 0.750379i
\(186\) 20633.2 + 40382.1i 0.596403 + 1.16725i
\(187\) −23642.9 13650.2i −0.676111 0.390353i
\(188\) 25281.2 + 61730.8i 0.715290 + 1.74657i
\(189\) 30971.9 9936.56i 0.867051 0.278171i
\(190\) −10534.9 53521.2i −0.291825 1.48258i
\(191\) −60657.0 35020.3i −1.66270 0.959961i −0.971418 0.237376i \(-0.923713\pi\)
−0.691283 0.722584i \(1.25705\pi\)
\(192\) 4657.12 36568.6i 0.126332 0.991988i
\(193\) 17426.4 + 30183.5i 0.467836 + 0.810316i 0.999325 0.0367497i \(-0.0117004\pi\)
−0.531488 + 0.847066i \(0.678367\pi\)
\(194\) 17539.2 + 20080.4i 0.466021 + 0.533542i
\(195\) 1346.94 5373.98i 0.0354225 0.141328i
\(196\) −882.655 + 6503.50i −0.0229762 + 0.169291i
\(197\) −30858.0 −0.795124 −0.397562 0.917575i \(-0.630144\pi\)
−0.397562 + 0.917575i \(0.630144\pi\)
\(198\) −6421.98 + 20997.3i −0.163809 + 0.535591i
\(199\) 34262.5i 0.865192i 0.901588 + 0.432596i \(0.142402\pi\)
−0.901588 + 0.432596i \(0.857598\pi\)
\(200\) 675.504 + 11348.1i 0.0168876 + 0.283702i
\(201\) −424.422 + 438.416i −0.0105052 + 0.0108516i
\(202\) 24435.1 + 27975.4i 0.598840 + 0.685605i
\(203\) −27992.1 + 16161.2i −0.679272 + 0.392178i
\(204\) −53860.7 21542.5i −1.29423 0.517650i
\(205\) −16374.5 + 28361.5i −0.389638 + 0.674872i
\(206\) −8735.19 44378.0i −0.205844 1.04576i
\(207\) 14801.5 27672.2i 0.345433 0.645808i
\(208\) −5310.28 + 5226.07i −0.122741 + 0.120795i
\(209\) 21847.0 37840.1i 0.500149 0.866283i
\(210\) −33929.8 1739.77i −0.769383 0.0394506i
\(211\) −14989.6 + 8654.27i −0.336687 + 0.194386i −0.658806 0.752313i \(-0.728938\pi\)
0.322119 + 0.946699i \(0.395605\pi\)
\(212\) −11472.3 8876.03i −0.255257 0.197491i
\(213\) 3248.20 + 11380.9i 0.0715952 + 0.250852i
\(214\) 23701.1 + 8098.28i 0.517536 + 0.176834i
\(215\) 39589.7i 0.856457i
\(216\) −7142.47 + 46106.0i −0.153088 + 0.988213i
\(217\) −56204.3 −1.19358
\(218\) 4465.65 13069.5i 0.0939663 0.275009i
\(219\) 81963.5 23393.0i 1.70896 0.487751i
\(220\) 14034.3 18139.3i 0.289965 0.374779i
\(221\) 5862.10 + 10153.5i 0.120024 + 0.207888i
\(222\) −2584.65 + 50407.1i −0.0524440 + 1.02279i
\(223\) 55484.8 + 32034.1i 1.11574 + 0.644174i 0.940311 0.340317i \(-0.110534\pi\)
0.175432 + 0.984492i \(0.443868\pi\)
\(224\) 37733.8 + 25761.9i 0.752028 + 0.513430i
\(225\) −466.578 14380.3i −0.00921636 0.284055i
\(226\) 9988.77 1966.15i 0.195567 0.0384946i
\(227\) 11857.8 + 6846.11i 0.230119 + 0.132859i 0.610627 0.791918i \(-0.290917\pi\)
−0.380508 + 0.924778i \(0.624251\pi\)
\(228\) 34478.5 86203.3i 0.663252 1.65827i
\(229\) −32996.2 57151.0i −0.629205 1.08982i −0.987711 0.156288i \(-0.950047\pi\)
0.358506 0.933527i \(-0.383286\pi\)
\(230\) −24687.4 + 21563.2i −0.466681 + 0.407622i
\(231\) −19552.8 18928.7i −0.366424 0.354728i
\(232\) −2754.91 46281.0i −0.0511838 0.859857i
\(233\) −63342.4 −1.16676 −0.583381 0.812198i \(-0.698271\pi\)
−0.583381 + 0.812198i \(0.698271\pi\)
\(234\) 6897.07 6430.25i 0.125960 0.117435i
\(235\) 88183.3i 1.59680i
\(236\) 71699.9 + 9731.11i 1.28734 + 0.174718i
\(237\) −38144.1 9560.49i −0.679095 0.170209i
\(238\) 54149.3 47296.6i 0.955959 0.834980i
\(239\) 275.008 158.776i 0.00481448 0.00277964i −0.497591 0.867412i \(-0.665782\pi\)
0.502405 + 0.864632i \(0.332449\pi\)
\(240\) 24018.2 42402.4i 0.416983 0.736153i
\(241\) −12752.6 + 22088.2i −0.219566 + 0.380300i −0.954675 0.297649i \(-0.903798\pi\)
0.735109 + 0.677949i \(0.237131\pi\)
\(242\) −39436.3 + 7762.48i −0.673388 + 0.132547i
\(243\) 10613.0 58087.4i 0.179732 0.983716i
\(244\) 38917.8 15938.4i 0.653685 0.267710i
\(245\) −4338.05 + 7513.73i −0.0722708 + 0.125177i
\(246\) −49636.0 + 25361.5i −0.820214 + 0.419087i
\(247\) −16250.4 + 9382.19i −0.266361 + 0.153784i
\(248\) 36089.5 72089.6i 0.586783 1.17211i
\(249\) −6652.37 1667.36i −0.107295 0.0268924i
\(250\) −21956.1 + 64258.6i −0.351298 + 1.02814i
\(251\) 40987.7i 0.650588i −0.945613 0.325294i \(-0.894537\pi\)
0.945613 0.325294i \(-0.105463\pi\)
\(252\) −46858.4 33883.2i −0.737882 0.533561i
\(253\) −26256.3 −0.410197
\(254\) −2006.35 685.539i −0.0310986 0.0106259i
\(255\) −55096.8 53338.1i −0.847317 0.820271i
\(256\) −57272.3 + 31856.6i −0.873907 + 0.486094i
\(257\) −15479.1 26810.5i −0.234357 0.405919i 0.724728 0.689035i \(-0.241965\pi\)
−0.959086 + 0.283116i \(0.908632\pi\)
\(258\) 36635.6 56553.5i 0.550381 0.849611i
\(259\) −54175.6 31278.3i −0.807615 0.466277i
\(260\) −9114.52 + 3732.76i −0.134830 + 0.0552183i
\(261\) 1902.85 + 58647.2i 0.0279334 + 0.860926i
\(262\) −715.585 3635.44i −0.0104246 0.0529607i
\(263\) −13311.8 7685.54i −0.192453 0.111113i 0.400678 0.916219i \(-0.368775\pi\)
−0.593130 + 0.805107i \(0.702108\pi\)
\(264\) 36833.6 12924.7i 0.528490 0.185445i
\(265\) −9587.47 16606.0i −0.136525 0.236468i
\(266\) 75697.5 + 86665.1i 1.06984 + 1.22485i
\(267\) 69957.1 19966.3i 0.981317 0.280076i
\(268\) 1074.94 + 145.891i 0.0149664 + 0.00203124i
\(269\) 76105.5 1.05175 0.525873 0.850563i \(-0.323739\pi\)
0.525873 + 0.850563i \(0.323739\pi\)
\(270\) −31836.9 + 52824.7i −0.436720 + 0.724618i
\(271\) 78076.4i 1.06312i 0.847021 + 0.531559i \(0.178394\pi\)
−0.847021 + 0.531559i \(0.821606\pi\)
\(272\) 25894.4 + 99823.5i 0.349999 + 1.34926i
\(273\) 3207.51 + 11238.3i 0.0430370 + 0.150791i
\(274\) 4389.72 + 5025.74i 0.0584704 + 0.0669420i
\(275\) −10425.0 + 6018.90i −0.137852 + 0.0795887i
\(276\) −55220.0 + 7957.53i −0.724900 + 0.104462i
\(277\) −2369.97 + 4104.90i −0.0308875 + 0.0534987i −0.881056 0.473012i \(-0.843167\pi\)
0.850168 + 0.526511i \(0.176500\pi\)
\(278\) 640.269 + 3252.80i 0.00828463 + 0.0420890i
\(279\) −48124.2 + 89971.1i −0.618237 + 1.15583i
\(280\) 33254.2 + 50420.1i 0.424161 + 0.643113i
\(281\) −21604.6 + 37420.3i −0.273612 + 0.473909i −0.969784 0.243966i \(-0.921552\pi\)
0.696172 + 0.717875i \(0.254885\pi\)
\(282\) −81603.2 + 125969.i −1.02615 + 1.58404i
\(283\) −31277.1 + 18057.8i −0.390529 + 0.225472i −0.682389 0.730989i \(-0.739059\pi\)
0.291860 + 0.956461i \(0.405726\pi\)
\(284\) 12875.3 16641.3i 0.159633 0.206325i
\(285\) 85366.8 88181.5i 1.05099 1.08564i
\(286\) −7465.66 2550.90i −0.0912717 0.0311861i
\(287\) 69084.1i 0.838715i
\(288\) 73548.2 38345.4i 0.886721 0.462305i
\(289\) 78760.1 0.942997
\(290\) 19816.7 57997.3i 0.235633 0.689623i
\(291\) −14584.5 + 58188.8i −0.172229 + 0.687153i
\(292\) −119848. 92726.2i −1.40562 1.08752i
\(293\) 48046.7 + 83219.2i 0.559665 + 0.969368i 0.997524 + 0.0703243i \(0.0224034\pi\)
−0.437859 + 0.899043i \(0.644263\pi\)
\(294\) −13149.9 + 6718.94i −0.152135 + 0.0777331i
\(295\) 82837.5 + 47826.3i 0.951882 + 0.549569i
\(296\) 74905.5 49403.4i 0.854929 0.563862i
\(297\) −47042.5 + 15092.4i −0.533307 + 0.171098i
\(298\) −12255.9 + 2412.40i −0.138010 + 0.0271654i
\(299\) 9765.10 + 5637.88i 0.109228 + 0.0630628i
\(300\) −20100.9 + 15818.0i −0.223343 + 0.175755i
\(301\) 41757.3 + 72325.7i 0.460892 + 0.798288i
\(302\) 27594.2 24102.1i 0.302554 0.264265i
\(303\) −20318.8 + 81067.1i −0.221316 + 0.882997i
\(304\) −159766. + 41443.5i −1.72877 + 0.448445i
\(305\) 55594.6 0.597631
\(306\) −29347.1 127178.i −0.313417 1.35822i
\(307\) 140641.i 1.49223i −0.665817 0.746115i \(-0.731917\pi\)
0.665817 0.746115i \(-0.268083\pi\)
\(308\) −6506.56 + 47941.0i −0.0685883 + 0.505366i
\(309\) 70783.4 73117.2i 0.741334 0.765778i
\(310\) 80266.6 70108.7i 0.835240 0.729539i
\(311\) 141564. 81731.8i 1.46363 0.845027i 0.464453 0.885598i \(-0.346251\pi\)
0.999177 + 0.0405712i \(0.0129178\pi\)
\(312\) −16474.2 3102.20i −0.169237 0.0318684i
\(313\) 25645.1 44418.7i 0.261768 0.453395i −0.704944 0.709263i \(-0.749028\pi\)
0.966712 + 0.255868i \(0.0823611\pi\)
\(314\) −82825.4 + 16303.0i −0.840049 + 0.165352i
\(315\) −40347.9 64926.7i −0.406630 0.654338i
\(316\) 26494.8 + 64694.1i 0.265330 + 0.647874i
\(317\) 14025.0 24292.0i 0.139568 0.241738i −0.787765 0.615975i \(-0.788762\pi\)
0.927333 + 0.374237i \(0.122095\pi\)
\(318\) 1671.25 32593.6i 0.0165268 0.322313i
\(319\) 42516.5 24546.9i 0.417808 0.241221i
\(320\) −86023.4 + 10277.7i −0.840073 + 0.100368i
\(321\) 15466.4 + 54190.5i 0.150100 + 0.525912i
\(322\) 22357.2 65432.5i 0.215629 0.631076i
\(323\) 259728.i 2.48951i
\(324\) −94361.6 + 45998.3i −0.898888 + 0.438179i
\(325\) 5169.63 0.0489433
\(326\) −161894. 55316.7i −1.52334 0.520500i
\(327\) 29882.4 8528.68i 0.279460 0.0797602i
\(328\) 88609.7 + 44359.7i 0.823633 + 0.412327i
\(329\) −93011.4 161101.i −0.859299 1.48835i
\(330\) 51535.1 + 2642.49i 0.473234 + 0.0242653i
\(331\) −97678.0 56394.4i −0.891540 0.514731i −0.0170938 0.999854i \(-0.505441\pi\)
−0.874446 + 0.485123i \(0.838775\pi\)
\(332\) 4620.72 + 11282.7i 0.0419212 + 0.102362i
\(333\) −96457.0 + 59941.9i −0.869852 + 0.540558i
\(334\) 8535.06 + 43361.2i 0.0765092 + 0.388695i
\(335\) 1241.92 + 717.024i 0.0110664 + 0.00638917i
\(336\) 845.525 + 102797.i 0.00748942 + 0.910550i
\(337\) 10409.8 + 18030.3i 0.0916606 + 0.158761i 0.908210 0.418515i \(-0.137449\pi\)
−0.816549 + 0.577276i \(0.804116\pi\)
\(338\) −72925.7 83491.7i −0.638333 0.730819i
\(339\) 16457.5 + 15932.2i 0.143207 + 0.138636i
\(340\) −18334.5 + 135091.i −0.158603 + 1.16860i
\(341\) 85367.4 0.734147
\(342\) 203547. 46969.6i 1.74025 0.401573i
\(343\) 125431.i 1.06615i
\(344\) −119580. + 7118.12i −1.01052 + 0.0601518i
\(345\) −71539.2 17930.7i −0.601043 0.150646i
\(346\) −57720.7 66083.7i −0.482147 0.552004i
\(347\) −139615. + 80606.6i −1.15950 + 0.669440i −0.951185 0.308621i \(-0.900132\pi\)
−0.208318 + 0.978061i \(0.566799\pi\)
\(348\) 81977.6 64510.5i 0.676919 0.532687i
\(349\) 110742. 191811.i 0.909205 1.57479i 0.0940341 0.995569i \(-0.470024\pi\)
0.815171 0.579220i \(-0.196643\pi\)
\(350\) −6122.59 31105.0i −0.0499803 0.253919i
\(351\) 20736.5 + 4488.12i 0.168314 + 0.0364292i
\(352\) −57312.9 39129.0i −0.462559 0.315801i
\(353\) −109395. + 189477.i −0.877904 + 1.52057i −0.0242676 + 0.999705i \(0.507725\pi\)
−0.853637 + 0.520869i \(0.825608\pi\)
\(354\) 74075.1 + 144976.i 0.591107 + 1.15688i
\(355\) 24088.2 13907.3i 0.191138 0.110354i
\(356\) −102292. 79143.2i −0.807130 0.624473i
\(357\) 156914. + 39329.1i 1.23119 + 0.308587i
\(358\) 43450.3 + 14846.3i 0.339021 + 0.115838i
\(359\) 924.606i 0.00717411i 0.999994 + 0.00358705i \(0.00114180\pi\)
−0.999994 + 0.00358705i \(0.998858\pi\)
\(360\) 109185. 10061.4i 0.842478 0.0776339i
\(361\) −285370. −2.18975
\(362\) 58810.2 172119.i 0.448782 1.31344i
\(363\) −64975.2 62901.3i −0.493100 0.477360i
\(364\) 12714.0 16432.9i 0.0959578 0.124025i
\(365\) −100158. 173479.i −0.751799 1.30215i
\(366\) 79416.4 + 51446.2i 0.592854 + 0.384053i
\(367\) 35332.0 + 20398.9i 0.262323 + 0.151452i 0.625394 0.780309i \(-0.284938\pi\)
−0.363071 + 0.931762i \(0.618272\pi\)
\(368\) 69570.1 + 70691.2i 0.513721 + 0.521999i
\(369\) −110589. 59152.3i −0.812192 0.434429i
\(370\) 116386. 22908.9i 0.850150 0.167340i
\(371\) 35030.3 + 20224.8i 0.254505 + 0.146939i
\(372\) 179537. 25872.4i 1.29739 0.186961i
\(373\) 117265. + 203109.i 0.842851 + 1.45986i 0.887474 + 0.460858i \(0.152458\pi\)
−0.0446228 + 0.999004i \(0.514209\pi\)
\(374\) −82246.1 + 71837.7i −0.587993 + 0.513581i
\(375\) −146922. + 41932.7i −1.04478 + 0.298188i
\(376\) 266357. 15855.1i 1.88403 0.112149i
\(377\) −21083.4 −0.148340
\(378\) 2445.40 130084.i 0.0171146 0.910420i
\(379\) 185553.i 1.29178i −0.763428 0.645892i \(-0.776485\pi\)
0.763428 0.645892i \(-0.223515\pi\)
\(380\) −216210. 29344.1i −1.49730 0.203214i
\(381\) −1309.27 4587.36i −0.00901944 0.0316019i
\(382\) −211006. + 184303.i −1.44600 + 1.26301i
\(383\) 52190.3 30132.1i 0.355789 0.205415i −0.311443 0.950265i \(-0.600812\pi\)
0.667232 + 0.744850i \(0.267479\pi\)
\(384\) −132394. 64922.9i −0.897857 0.440287i
\(385\) −31978.3 + 55388.1i −0.215742 + 0.373675i
\(386\) 136787. 26924.6i 0.918056 0.180707i
\(387\) 151532. 4916.56i 1.01177 0.0328276i
\(388\) 98691.0 40417.8i 0.655562 0.268479i
\(389\) 6004.66 10400.4i 0.0396816 0.0687306i −0.845502 0.533971i \(-0.820699\pi\)
0.885184 + 0.465241i \(0.154032\pi\)
\(390\) −18599.3 12048.7i −0.122283 0.0792154i
\(391\) 135164. 78037.0i 0.884113 0.510443i
\(392\) 23475.1 + 11752.1i 0.152769 + 0.0764792i
\(393\) 5798.56 5989.75i 0.0375435 0.0387814i
\(394\) −39909.3 + 116802.i −0.257088 + 0.752415i
\(395\) 92416.5i 0.592318i
\(396\) 71172.1 + 51464.4i 0.453858 + 0.328183i
\(397\) 32276.3 0.204787 0.102394 0.994744i \(-0.467350\pi\)
0.102394 + 0.994744i \(0.467350\pi\)
\(398\) 129688. + 44312.4i 0.818719 + 0.279743i
\(399\) −62945.5 + 251138.i −0.395384 + 1.57749i
\(400\) 43827.8 + 12119.9i 0.273924 + 0.0757491i
\(401\) 93863.1 + 162576.i 0.583722 + 1.01104i 0.995033 + 0.0995418i \(0.0317377\pi\)
−0.411311 + 0.911495i \(0.634929\pi\)
\(402\) 1110.55 + 2173.51i 0.00687207 + 0.0134496i
\(403\) −31749.4 18330.5i −0.195490 0.112866i
\(404\) 137494. 56309.0i 0.842402 0.344997i
\(405\) −138481. + 8995.70i −0.844268 + 0.0548435i
\(406\) 24969.8 + 126856.i 0.151483 + 0.769588i
\(407\) 82286.0 + 47507.9i 0.496749 + 0.286798i
\(408\) −151201. + 176009.i −0.908310 + 1.05734i
\(409\) 67272.0 + 116518.i 0.402149 + 0.696543i 0.993985 0.109515i \(-0.0349299\pi\)
−0.591836 + 0.806059i \(0.701597\pi\)
\(410\) 86174.8 + 98660.5i 0.512640 + 0.586916i
\(411\) −3650.23 + 14563.6i −0.0216091 + 0.0862152i
\(412\) −179275. 24331.1i −1.05615 0.143340i
\(413\) −201779. −1.18298
\(414\) −85600.3 91814.8i −0.499430 0.535688i
\(415\) 16117.5i 0.0935841i
\(416\) 12913.5 + 26859.2i 0.0746205 + 0.155205i
\(417\) −5188.25 + 5359.32i −0.0298366 + 0.0308204i
\(418\) −114975. 131634.i −0.658038 0.753380i
\(419\) 73320.7 42331.7i 0.417637 0.241123i −0.276429 0.961034i \(-0.589151\pi\)
0.694066 + 0.719912i \(0.255818\pi\)
\(420\) −50467.5 + 126179.i −0.286097 + 0.715301i
\(421\) 57849.8 100199.i 0.326391 0.565325i −0.655402 0.755280i \(-0.727501\pi\)
0.981793 + 0.189955i \(0.0608341\pi\)
\(422\) 13371.2 + 67930.7i 0.0750837 + 0.381453i
\(423\) −337527. + 10951.3i −1.88637 + 0.0612047i
\(424\) −48434.4 + 31944.6i −0.269415 + 0.177691i
\(425\) 35777.9 61969.1i 0.198078 0.343081i
\(426\) 47279.3 + 2424.28i 0.260527 + 0.0133587i
\(427\) −101565. + 58638.4i −0.557041 + 0.321608i
\(428\) 61306.3 79238.3i 0.334671 0.432561i
\(429\) −4871.80 17069.6i −0.0264713 0.0927489i
\(430\) −149853. 51202.3i −0.810453 0.276919i
\(431\) 294896.i 1.58750i −0.608241 0.793752i \(-0.708125\pi\)
0.608241 0.793752i \(-0.291875\pi\)
\(432\) 165281. + 86665.3i 0.885634 + 0.464384i
\(433\) −151284. −0.806895 −0.403447 0.915003i \(-0.632188\pi\)
−0.403447 + 0.915003i \(0.632188\pi\)
\(434\) −72690.4 + 212742.i −0.385920 + 1.12947i
\(435\) 132606. 37846.8i 0.700784 0.200010i
\(436\) −43694.6 33806.3i −0.229855 0.177838i
\(437\) 124897. + 216328.i 0.654017 + 1.13279i
\(438\) 17459.3 340498.i 0.0910076 1.77487i
\(439\) −17332.7 10007.1i −0.0899369 0.0519251i 0.454357 0.890820i \(-0.349869\pi\)
−0.544294 + 0.838895i \(0.683202\pi\)
\(440\) −50509.0 76581.8i −0.260893 0.395567i
\(441\) −29298.0 15671.0i −0.150647 0.0805788i
\(442\) 46013.9 9057.19i 0.235529 0.0463606i
\(443\) 33466.7 + 19322.0i 0.170532 + 0.0984567i 0.582837 0.812589i \(-0.301943\pi\)
−0.412305 + 0.911046i \(0.635276\pi\)
\(444\) 187455. + 74975.9i 0.950893 + 0.380326i
\(445\) −85486.7 148067.i −0.431696 0.747720i
\(446\) 193014. 168587.i 0.970327 0.847530i
\(447\) −20192.8 19548.2i −0.101060 0.0978345i
\(448\) 146314. 109509.i 0.729005 0.545626i
\(449\) 79457.9 0.394135 0.197067 0.980390i \(-0.436858\pi\)
0.197067 + 0.980390i \(0.436858\pi\)
\(450\) −55034.8 16832.3i −0.271777 0.0831223i
\(451\) 104930.i 0.515878i
\(452\) 5476.55 40351.8i 0.0268059 0.197509i
\(453\) 79962.2 + 20041.8i 0.389662 + 0.0976655i
\(454\) 41249.5 36029.3i 0.200128 0.174801i
\(455\) 23786.4 13733.1i 0.114896 0.0663354i
\(456\) −281700. 241995.i −1.35474 1.16379i
\(457\) 131776. 228243.i 0.630963 1.09286i −0.356392 0.934337i \(-0.615993\pi\)
0.987355 0.158524i \(-0.0506735\pi\)
\(458\) −259000. + 50980.5i −1.23472 + 0.243037i
\(459\) 197312. 217510.i 0.936546 1.03241i
\(460\) 49691.0 + 121334.i 0.234834 + 0.573411i
\(461\) 100305. 173733.i 0.471976 0.817487i −0.527510 0.849549i \(-0.676874\pi\)
0.999486 + 0.0320624i \(0.0102075\pi\)
\(462\) −96935.8 + 49529.2i −0.454151 + 0.232048i
\(463\) −205297. + 118528.i −0.957679 + 0.552916i −0.895458 0.445146i \(-0.853152\pi\)
−0.0622210 + 0.998062i \(0.519818\pi\)
\(464\) −178743. 49428.5i −0.830220 0.229584i
\(465\) 232596. + 58298.2i 1.07571 + 0.269618i
\(466\) −81922.2 + 239760.i −0.377250 + 1.10409i
\(467\) 230464.i 1.05674i 0.849014 + 0.528371i \(0.177197\pi\)
−0.849014 + 0.528371i \(0.822803\pi\)
\(468\) −15419.3 34422.8i −0.0703999 0.157165i
\(469\) −3025.13 −0.0137530
\(470\) 333787. + 114050.i 1.51103 + 0.516295i
\(471\) −136463. 132107.i −0.615140 0.595505i
\(472\) 129565. 258809.i 0.581571 1.16170i
\(473\) −63424.1 109854.i −0.283486 0.491013i
\(474\) −85520.5 + 132016.i −0.380639 + 0.587584i
\(475\) 99180.5 + 57261.9i 0.439581 + 0.253792i
\(476\) −108992. 266133.i −0.481039 1.17459i
\(477\) 62369.7 38758.9i 0.274118 0.170347i
\(478\) −245.315 1246.29i −0.00107366 0.00545461i
\(479\) 2079.74 + 1200.74i 0.00906438 + 0.00523332i 0.504525 0.863397i \(-0.331668\pi\)
−0.495461 + 0.868630i \(0.665001\pi\)
\(480\) −129436. 145752.i −0.561788 0.632606i
\(481\) −20402.3 35337.7i −0.0881836 0.152739i
\(482\) 67113.8 + 76837.7i 0.288880 + 0.330735i
\(483\) 149606. 42698.8i 0.641290 0.183029i
\(484\) −21621.7 + 159311.i −0.0922997 + 0.680074i
\(485\) 140981. 0.599347
\(486\) −206143. 115297.i −0.872764 0.488143i
\(487\) 405227.i 1.70860i 0.519781 + 0.854300i \(0.326014\pi\)
−0.519781 + 0.854300i \(0.673986\pi\)
\(488\) −9995.75 167923.i −0.0419736 0.705132i
\(489\) −105646. 370158.i −0.441810 1.54799i
\(490\) 22830.0 + 26137.8i 0.0950855 + 0.108862i
\(491\) 111325. 64273.4i 0.461773 0.266605i −0.251016 0.967983i \(-0.580765\pi\)
0.712790 + 0.701378i \(0.247431\pi\)
\(492\) 31801.3 + 220680.i 0.131376 + 0.911660i
\(493\) −145913. + 252729.i −0.600345 + 1.03983i
\(494\) 14495.9 + 73644.5i 0.0594006 + 0.301777i
\(495\) 61283.4 + 98615.6i 0.250111 + 0.402472i
\(496\) −226194. 229839.i −0.919429 0.934244i
\(497\) −29337.5 + 50814.1i −0.118771 + 0.205717i
\(498\) −14914.9 + 23023.7i −0.0601396 + 0.0928361i
\(499\) −111377. + 64303.6i −0.447296 + 0.258246i −0.706687 0.707526i \(-0.749811\pi\)
0.259392 + 0.965772i \(0.416478\pi\)
\(500\) 214832. + 166214.i 0.859326 + 0.664857i
\(501\) −69161.6 + 71442.0i −0.275543 + 0.284628i
\(502\) −155144. 53010.3i −0.615642 0.210355i
\(503\) 368128.i 1.45500i −0.686109 0.727499i \(-0.740683\pi\)
0.686109 0.727499i \(-0.259317\pi\)
\(504\) −188856. + 133544.i −0.743481 + 0.525731i
\(505\) 196411. 0.770165
\(506\) −33957.9 + 99383.8i −0.132629 + 0.388163i
\(507\) 60640.7 241942.i 0.235911 0.941229i
\(508\) −5189.73 + 6707.72i −0.0201102 + 0.0259925i
\(509\) 40698.4 + 70491.6i 0.157087 + 0.272083i 0.933817 0.357751i \(-0.116456\pi\)
−0.776730 + 0.629834i \(0.783123\pi\)
\(510\) −273150. + 139566.i −1.05017 + 0.536585i
\(511\) 365955. + 211284.i 1.40148 + 0.809143i
\(512\) 46510.3 + 257985.i 0.177423 + 0.984135i
\(513\) 348121. + 315795.i 1.32281 + 1.19997i
\(514\) −121501. + 23915.8i −0.459890 + 0.0905230i
\(515\) −207123. 119582.i −0.780931 0.450871i
\(516\) −166682. 211813.i −0.626020 0.795524i
\(517\) 141273. + 244692.i 0.528539 + 0.915457i
\(518\) −188460. + 164610.i −0.702358 + 0.613473i
\(519\) 47997.1 191497.i 0.178189 0.710931i
\(520\) 2341.00 + 39327.4i 0.00865754 + 0.145442i
\(521\) −17832.5 −0.0656956 −0.0328478 0.999460i \(-0.510458\pi\)
−0.0328478 + 0.999460i \(0.510458\pi\)
\(522\) 224449. + 68647.2i 0.823714 + 0.251931i
\(523\) 51996.2i 0.190094i 0.995473 + 0.0950470i \(0.0303001\pi\)
−0.995473 + 0.0950470i \(0.969700\pi\)
\(524\) −14686.1 1993.20i −0.0534866 0.00725920i
\(525\) 49612.8 51248.6i 0.180001 0.185936i
\(526\) −46307.3 + 40447.0i −0.167370 + 0.146189i
\(527\) −439461. + 253723.i −1.58234 + 0.913562i
\(528\) −1284.25 156136.i −0.00460660 0.560062i
\(529\) −64868.3 + 112355.i −0.231804 + 0.401496i
\(530\) −75255.7 + 14813.0i −0.267909 + 0.0527342i
\(531\) −172770. + 323005.i −0.612746 + 1.14557i
\(532\) 425941. 174440.i 1.50497 0.616343i
\(533\) 22531.1 39025.1i 0.0793101 0.137369i
\(534\) 14901.7 290621.i 0.0522582 1.01916i
\(535\) 114697. 66220.2i 0.400722 0.231357i
\(536\) 1942.47 3880.13i 0.00676122 0.0135057i
\(537\) 28354.0 + 99345.6i 0.0983255 + 0.344508i
\(538\) 98429.0 288070.i 0.340062 0.995253i
\(539\) 27798.8i 0.0956862i
\(540\) 158774. + 188827.i 0.544491 + 0.647554i
\(541\) −329819. −1.12689 −0.563444 0.826154i \(-0.690524\pi\)
−0.563444 + 0.826154i \(0.690524\pi\)
\(542\) 295530. + 100978.i 1.00601 + 0.343739i
\(543\) 393535. 112318.i 1.33470 0.380934i
\(544\) 411336. + 31090.2i 1.38995 + 0.105057i
\(545\) −36515.9 63247.5i −0.122939 0.212936i
\(546\) 46687.0 + 2393.90i 0.156607 + 0.00803010i
\(547\) −306032. 176688.i −1.02280 0.590517i −0.107890 0.994163i \(-0.534409\pi\)
−0.914915 + 0.403646i \(0.867743\pi\)
\(548\) 24700.5 10115.8i 0.0822516 0.0336853i
\(549\) 6904.18 + 212792.i 0.0229069 + 0.706008i
\(550\) 9299.45 + 47244.6i 0.0307420 + 0.156181i
\(551\) −404489. 233532.i −1.33230 0.769206i
\(552\) −41296.9 + 219307.i −0.135531 + 0.719738i
\(553\) −97476.3 168834.i −0.318749 0.552090i
\(554\) 12472.5 + 14279.6i 0.0406382 + 0.0465262i
\(555\) 191757. + 185636.i 0.622537 + 0.602666i
\(556\) 13140.4 + 1783.42i 0.0425069 + 0.00576903i
\(557\) −381405. −1.22935 −0.614676 0.788780i \(-0.710713\pi\)
−0.614676 + 0.788780i \(0.710713\pi\)
\(558\) 278313. + 298519.i 0.893852 + 0.958744i
\(559\) 54475.0i 0.174330i
\(560\) 233856. 60662.5i 0.745713 0.193439i
\(561\) −238332. 59735.9i −0.757281 0.189806i
\(562\) 113700. + 130173.i 0.359987 + 0.412144i
\(563\) −203807. + 117668.i −0.642988 + 0.371229i −0.785765 0.618526i \(-0.787730\pi\)
0.142776 + 0.989755i \(0.454397\pi\)
\(564\) 371272. + 471799.i 1.16717 + 1.48320i
\(565\) 26916.0 46619.9i 0.0843168 0.146041i
\(566\) 27900.1 + 141743.i 0.0870909 + 0.442454i
\(567\) 243500. 162497.i 0.757414 0.505451i
\(568\) −46337.9 70257.6i −0.143628 0.217769i
\(569\) 110971. 192208.i 0.342757 0.593673i −0.642186 0.766549i \(-0.721972\pi\)
0.984944 + 0.172875i \(0.0553058\pi\)
\(570\) −223373. 437173.i −0.687512 1.34556i
\(571\) −34588.3 + 19969.5i −0.106086 + 0.0612486i −0.552104 0.833775i \(-0.686175\pi\)
0.446018 + 0.895024i \(0.352842\pi\)
\(572\) −19311.0 + 24959.5i −0.0590219 + 0.0762857i
\(573\) −611452. 153255.i −1.86232 0.466773i
\(574\) −261493. 89348.1i −0.793664 0.271182i
\(575\) 68818.8i 0.208148i
\(576\) −50021.4 327983.i −0.150769 0.988569i
\(577\) 511135. 1.53527 0.767634 0.640889i \(-0.221434\pi\)
0.767634 + 0.640889i \(0.221434\pi\)
\(578\) 101862. 298118.i 0.304900 0.892345i
\(579\) 225370. + 218176.i 0.672262 + 0.650804i
\(580\) −193899. 150018.i −0.576393 0.445953i
\(581\) −17000.0 29444.8i −0.0503612 0.0872281i
\(582\) 201391. + 130462.i 0.594557 + 0.385156i
\(583\) −53206.7 30718.9i −0.156541 0.0903793i
\(584\) −505985. + 333719.i −1.48358 + 0.978486i
\(585\) −1616.95 49835.7i −0.00472483 0.145623i
\(586\) 377137. 74234.1i 1.09826 0.216176i
\(587\) 60509.5 + 34935.2i 0.175609 + 0.101388i 0.585228 0.810869i \(-0.301005\pi\)
−0.409619 + 0.912257i \(0.634338\pi\)
\(588\) 8425.04 + 58464.1i 0.0243678 + 0.169097i
\(589\) −406079. 703350.i −1.17052 2.02741i
\(590\) 288165. 251697.i 0.827823 0.723060i
\(591\) −267058. + 76220.4i −0.764592 + 0.218221i
\(592\) −90121.9 347423.i −0.257150 0.991322i
\(593\) 206980. 0.588599 0.294299 0.955713i \(-0.404914\pi\)
0.294299 + 0.955713i \(0.404914\pi\)
\(594\) −3714.26 + 197582.i −0.0105269 + 0.559982i
\(595\) 380174.i 1.07386i
\(596\) −6719.53 + 49510.2i −0.0189167 + 0.139381i
\(597\) 84629.6 + 296522.i 0.237451 + 0.831970i
\(598\) 33969.6 29670.7i 0.0949923 0.0829708i
\(599\) 241159. 139233.i 0.672123 0.388051i −0.124757 0.992187i \(-0.539815\pi\)
0.796881 + 0.604137i \(0.206482\pi\)
\(600\) 33876.3 + 96542.5i 0.0941009 + 0.268174i
\(601\) −213736. + 370201.i −0.591737 + 1.02492i 0.402262 + 0.915525i \(0.368224\pi\)
−0.993999 + 0.109393i \(0.965109\pi\)
\(602\) 327769. 64516.8i 0.904430 0.178024i
\(603\) −2590.22 + 4842.58i −0.00712365 + 0.0133181i
\(604\) −55541.6 135620.i −0.152246 0.371748i
\(605\) −106266. + 184058.i −0.290325 + 0.502857i
\(606\) 280572. + 181755.i 0.764009 + 0.494928i
\(607\) 361479. 208700.i 0.981082 0.566428i 0.0784853 0.996915i \(-0.474992\pi\)
0.902597 + 0.430487i \(0.141658\pi\)
\(608\) −49759.4 + 658337.i −0.134607 + 1.78091i
\(609\) −202336. + 209008.i −0.545556 + 0.563544i
\(610\) 71901.8 210434.i 0.193232 0.565530i
\(611\) 121339.i 0.325026i
\(612\) −519344. 53399.8i −1.38660 0.142573i
\(613\) −23327.6 −0.0620796 −0.0310398 0.999518i \(-0.509882\pi\)
−0.0310398 + 0.999518i \(0.509882\pi\)
\(614\) −532347. 181895.i −1.41208 0.482484i
\(615\) −71657.8 + 285898.i −0.189458 + 0.755894i
\(616\) 173049. + 86631.5i 0.456044 + 0.228305i
\(617\) −39385.7 68218.0i −0.103459 0.179196i 0.809649 0.586915i \(-0.199658\pi\)
−0.913108 + 0.407719i \(0.866324\pi\)
\(618\) −185213. 362489.i −0.484948 0.949114i
\(619\) −382655. 220926.i −0.998679 0.576587i −0.0908215 0.995867i \(-0.528949\pi\)
−0.907857 + 0.419280i \(0.862283\pi\)
\(620\) −161561. 394494.i −0.420293 1.02626i
\(621\) 59746.4 276047.i 0.154928 0.715814i
\(622\) −126279. 641545.i −0.326401 1.65824i
\(623\) 312348. + 180334.i 0.804753 + 0.464625i
\(624\) −33048.8 + 58345.2i −0.0848762 + 0.149843i
\(625\) 124028. + 214823.i 0.317512 + 0.549947i
\(626\) −134964. 154518.i −0.344404 0.394304i
\(627\) 95606.4 381447.i 0.243193 0.970285i
\(628\) −45410.7 + 334591.i −0.115143 + 0.848390i
\(629\) −564798. −1.42755
\(630\) −297940. + 68751.3i −0.750667 + 0.173221i
\(631\) 211599.i 0.531440i 0.964050 + 0.265720i \(0.0856097\pi\)
−0.964050 + 0.265720i \(0.914390\pi\)
\(632\) 279143. 16616.2i 0.698864 0.0416005i
\(633\) −108350. + 111923.i −0.270410 + 0.279325i
\(634\) −73809.9 84504.1i −0.183627 0.210232i
\(635\) −9709.36 + 5605.70i −0.0240793 + 0.0139022i
\(636\) −121210. 48479.9i −0.299656 0.119853i
\(637\) 5969.11 10338.8i 0.0147106 0.0254795i
\(638\) −37926.0 192678.i −0.0931743 0.473360i
\(639\) 56222.6 + 90471.9i 0.137692 + 0.221570i
\(640\) −72353.7 + 338903.i −0.176645 + 0.827401i
\(641\) 2552.74 4421.47i 0.00621284 0.0107610i −0.862902 0.505371i \(-0.831356\pi\)
0.869115 + 0.494610i \(0.164689\pi\)
\(642\) 225122. + 11543.3i 0.546195 + 0.0280065i
\(643\) 69127.8 39911.0i 0.167198 0.0965318i −0.414066 0.910247i \(-0.635892\pi\)
0.581264 + 0.813715i \(0.302558\pi\)
\(644\) −218756. 169251.i −0.527459 0.408093i
\(645\) −97788.2 342626.i −0.235054 0.823570i
\(646\) 983109. + 335913.i 2.35579 + 0.804936i
\(647\) 531516.i 1.26972i 0.772628 + 0.634859i \(0.218942\pi\)
−0.772628 + 0.634859i \(0.781058\pi\)
\(648\) 52069.9 + 416663.i 0.124004 + 0.992282i
\(649\) 306477. 0.727627
\(650\) 6686.01 19567.8i 0.0158249 0.0463143i
\(651\) −486416. + 138827.i −1.14775 + 0.327576i
\(652\) −418763. + 541251.i −0.985085 + 1.27322i
\(653\) 235615. + 408097.i 0.552556 + 0.957055i 0.998089 + 0.0617897i \(0.0196808\pi\)
−0.445533 + 0.895265i \(0.646986\pi\)
\(654\) 6365.33 124140.i 0.0148821 0.290238i
\(655\) −16967.4 9796.15i −0.0395488 0.0228335i
\(656\) 282509. 278029.i 0.656485 0.646074i
\(657\) 651564. 404906.i 1.50948 0.938045i
\(658\) −730082. + 143707.i −1.68624 + 0.331913i
\(659\) 309469. + 178672.i 0.712601 + 0.411420i 0.812023 0.583625i \(-0.198366\pi\)
−0.0994224 + 0.995045i \(0.531700\pi\)
\(660\) 76653.8 191650.i 0.175973 0.439969i
\(661\) 282792. + 489809.i 0.647237 + 1.12105i 0.983780 + 0.179380i \(0.0574090\pi\)
−0.336543 + 0.941668i \(0.609258\pi\)
\(662\) −339790. + 296789.i −0.775345 + 0.677223i
\(663\) 75812.5 + 73392.6i 0.172470 + 0.166965i
\(664\) 48682.8 2897.89i 0.110418 0.00657272i
\(665\) 608463. 1.37591
\(666\) 102139. + 442628.i 0.230273 + 0.997907i
\(667\) 280664.i 0.630864i
\(668\) 175167. + 23773.7i 0.392554 + 0.0532775i
\(669\) 559314. + 140187.i 1.24969 + 0.313225i
\(670\) 4320.25 3773.51i 0.00962408 0.00840613i
\(671\) 154264. 89064.5i 0.342626 0.197815i
\(672\) 390197. + 129750.i 0.864062 + 0.287322i
\(673\) 158119. 273870.i 0.349103 0.604663i −0.636988 0.770874i \(-0.719820\pi\)
0.986090 + 0.166211i \(0.0531532\pi\)
\(674\) 81710.5 16083.6i 0.179870 0.0354049i
\(675\) −39557.8 123300.i −0.0868210 0.270618i
\(676\) −410345. + 168052.i −0.897957 + 0.367749i
\(677\) 300914. 521198.i 0.656545 1.13717i −0.324959 0.945728i \(-0.605351\pi\)
0.981504 0.191441i \(-0.0613161\pi\)
\(678\) 81590.5 41688.6i 0.177493 0.0906896i
\(679\) −257556. + 148700.i −0.558641 + 0.322531i
\(680\) 487625. + 244115.i 1.05455 + 0.527929i
\(681\) 119533. + 29959.8i 0.257746 + 0.0646018i
\(682\) 110408. 323128.i 0.237372 0.694713i
\(683\) 385277.i 0.825909i −0.910752 0.412955i \(-0.864497\pi\)
0.910752 0.412955i \(-0.135503\pi\)
\(684\) 85465.5 831202.i 0.182675 1.77662i
\(685\) 35285.0 0.0751984
\(686\) −474775. 162223.i −1.00888 0.344718i
\(687\) −426728. 413107.i −0.904144 0.875284i
\(688\) −127713. + 461835.i −0.269810 + 0.975685i
\(689\) 13192.2 + 22849.6i 0.0277895 + 0.0481328i
\(690\) −160393. + 247596.i −0.336890 + 0.520050i
\(691\) 397767. + 229651.i 0.833053 + 0.480963i 0.854897 0.518798i \(-0.173620\pi\)
−0.0218438 + 0.999761i \(0.506954\pi\)
\(692\) −324788. + 133014.i −0.678247 + 0.277769i
\(693\) −215972. 115520.i −0.449709 0.240543i
\(694\) 124541. + 632712.i 0.258578 + 1.31367i
\(695\) 15181.6 + 8765.10i 0.0314303 + 0.0181463i
\(696\) −138158. 393730.i −0.285205 0.812793i
\(697\) −311866. 540168.i −0.641952 1.11189i
\(698\) −582807. 667248.i −1.19623 1.36955i
\(699\) −548191. + 156458.i −1.12196 + 0.320217i
\(700\) −125655. 17054.0i −0.256440 0.0348040i
\(701\) −127011. −0.258467 −0.129234 0.991614i \(-0.541252\pi\)
−0.129234 + 0.991614i \(0.541252\pi\)
\(702\) 43807.2 72686.1i 0.0888937 0.147495i
\(703\) 903950.i 1.82908i
\(704\) −222233. + 166331.i −0.448398 + 0.335605i
\(705\) 217816. + 763175.i 0.438240 + 1.53549i
\(706\) 575716. + 659130.i 1.15504 + 1.32240i
\(707\) −358820. + 207165.i −0.717857 + 0.414455i
\(708\) 644557. 92884.5i 1.28586 0.185301i
\(709\) −247408. + 428523.i −0.492177 + 0.852475i −0.999959 0.00901014i \(-0.997132\pi\)
0.507783 + 0.861485i \(0.330465\pi\)
\(710\) −21487.4 109164.i −0.0426253 0.216552i
\(711\) −353730. + 11477.0i −0.699733 + 0.0227033i
\(712\) −431865. + 284834.i −0.851900 + 0.561864i
\(713\) −244018. + 422652.i −0.480002 + 0.831388i
\(714\) 351806. 543076.i 0.690092 1.06528i
\(715\) −36128.6 + 20858.8i −0.0706706 + 0.0408017i
\(716\) 112391. 145265.i 0.219232 0.283357i
\(717\) 1987.85 2053.39i 0.00386674 0.00399423i
\(718\) 3499.77 + 1195.82i 0.00678876 + 0.00231961i
\(719\) 614613.i 1.18890i 0.804134 + 0.594448i \(0.202629\pi\)
−0.804134 + 0.594448i \(0.797371\pi\)
\(720\) 103128. 426294.i 0.198935 0.822326i
\(721\) 504518. 0.970523
\(722\) −369076. + 1.08017e6i −0.708013 + 2.07213i
\(723\) −55807.8 + 222660.i −0.106762 + 0.425957i
\(724\) −575434. 445210.i −1.09779 0.849353i
\(725\) 64338.5 + 111438.i 0.122404 + 0.212010i
\(726\) −322124. + 164589.i −0.611153 + 0.312268i
\(727\) 286999. + 165699.i 0.543014 + 0.313509i 0.746299 0.665610i \(-0.231829\pi\)
−0.203286 + 0.979119i \(0.565162\pi\)
\(728\) −45757.4 69377.4i −0.0863373 0.130905i
\(729\) −51629.3 528927.i −0.0971495 0.995270i
\(730\) −786182. + 154749.i −1.47529 + 0.290390i
\(731\) 652999. + 377009.i 1.22202 + 0.705532i
\(732\) 297442. 234066.i 0.555112 0.436833i
\(733\) 25808.4 + 44701.5i 0.0480345 + 0.0831982i 0.889043 0.457824i \(-0.151371\pi\)
−0.841008 + 0.541022i \(0.818038\pi\)
\(734\) 122909. 107354.i 0.228134 0.199263i
\(735\) −18984.1 + 75742.1i −0.0351411 + 0.140205i
\(736\) 357553. 171906.i 0.660062 0.317349i
\(737\) 4594.79 0.00845923
\(738\) −366927. + 342092.i −0.673701 + 0.628101i
\(739\) 228968.i 0.419263i −0.977780 0.209631i \(-0.932774\pi\)
0.977780 0.209631i \(-0.0672264\pi\)
\(740\) 63810.8 470165.i 0.116528 0.858592i
\(741\) −117464. + 121337.i −0.213928 + 0.220981i
\(742\) 121859. 106438.i 0.221335 0.193325i
\(743\) 910009. 525394.i 1.64842 0.951716i 0.670720 0.741711i \(-0.265985\pi\)
0.977700 0.210005i \(-0.0673480\pi\)
\(744\) 134269. 713036.i 0.242566 1.28815i
\(745\) −33025.0 + 57201.0i −0.0595018 + 0.103060i
\(746\) 920459. 181179.i 1.65397 0.325560i
\(747\) −61690.8 + 2001.60i −0.110555 + 0.00358704i
\(748\) 165545. + 404223.i 0.295878 + 0.722466i
\(749\) −139692. + 241953.i −0.249004 + 0.431288i
\(750\) −31296.2 + 610353.i −0.0556377 + 1.08507i
\(751\) 233295. 134693.i 0.413643 0.238817i −0.278711 0.960375i \(-0.589907\pi\)
0.692354 + 0.721558i \(0.256574\pi\)
\(752\) 284472. 1.02870e6i 0.503041 1.81909i
\(753\) −101241. 354724.i −0.178553 0.625606i
\(754\) −27267.6 + 79803.5i −0.0479627 + 0.140372i
\(755\) 193735.i 0.339870i
\(756\) −489225. 177497.i −0.855984 0.310562i
\(757\) −476176. −0.830952 −0.415476 0.909604i \(-0.636385\pi\)
−0.415476 + 0.909604i \(0.636385\pi\)
\(758\) −702346. 239980.i −1.22240 0.417674i
\(759\) −227233. + 64854.1i −0.394446 + 0.112578i
\(760\) −390701. + 780436.i −0.676422 + 1.35117i
\(761\) −242197. 419498.i −0.418215 0.724370i 0.577545 0.816359i \(-0.304011\pi\)
−0.995760 + 0.0919890i \(0.970678\pi\)
\(762\) −19057.1 977.166i −0.0328207 0.00168290i
\(763\) 133421. + 77030.4i 0.229178 + 0.132316i