Properties

Label 76.5.l.a.23.19
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.19
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.548361 - 3.96223i) q^{2} +(1.05794 - 0.186543i) q^{3} +(-15.3986 + 4.34547i) q^{4} +(1.47493 - 1.23761i) q^{5} +(-1.31926 - 4.08950i) q^{6} +(-26.6122 - 15.3646i) q^{7} +(25.6618 + 58.6300i) q^{8} +(-75.0307 + 27.3089i) q^{9} +O(q^{10})\) \(q+(-0.548361 - 3.96223i) q^{2} +(1.05794 - 0.186543i) q^{3} +(-15.3986 + 4.34547i) q^{4} +(1.47493 - 1.23761i) q^{5} +(-1.31926 - 4.08950i) q^{6} +(-26.6122 - 15.3646i) q^{7} +(25.6618 + 58.6300i) q^{8} +(-75.0307 + 27.3089i) q^{9} +(-5.71249 - 5.16535i) q^{10} +(-29.9069 + 17.2667i) q^{11} +(-15.4801 + 7.46972i) q^{12} +(-42.0617 + 238.544i) q^{13} +(-46.2849 + 113.869i) q^{14} +(1.32951 - 1.58445i) q^{15} +(218.234 - 133.828i) q^{16} +(-280.382 - 102.051i) q^{17} +(149.348 + 282.314i) q^{18} +(242.275 + 267.627i) q^{19} +(-17.3338 + 25.4667i) q^{20} +(-31.0201 - 11.2904i) q^{21} +(84.8147 + 109.030i) q^{22} +(421.407 - 502.214i) q^{23} +(38.0855 + 57.2397i) q^{24} +(-107.886 + 611.854i) q^{25} +(968.231 + 35.8503i) q^{26} +(-149.640 + 86.3949i) q^{27} +(476.557 + 120.950i) q^{28} +(-1218.39 + 443.456i) q^{29} +(-7.00701 - 4.39898i) q^{30} +(-961.830 - 555.313i) q^{31} +(-649.930 - 791.307i) q^{32} +(-28.4186 + 23.8460i) q^{33} +(-250.599 + 1166.90i) q^{34} +(-58.2664 + 10.2739i) q^{35} +(1036.70 - 746.563i) q^{36} +198.579 q^{37} +(927.546 - 1106.70i) q^{38} +260.210i q^{39} +(110.410 + 54.7156i) q^{40} +(-143.868 - 815.918i) q^{41} +(-27.7250 + 129.100i) q^{42} +(-2296.43 - 2736.77i) q^{43} +(385.492 - 395.843i) q^{44} +(-76.8669 + 133.137i) q^{45} +(-2220.97 - 1394.32i) q^{46} +(173.023 + 475.377i) q^{47} +(205.913 - 182.292i) q^{48} +(-728.361 - 1261.56i) q^{49} +(2483.47 + 91.9543i) q^{50} +(-315.663 - 55.6600i) q^{51} +(-388.893 - 3856.02i) q^{52} +(1203.51 + 1009.87i) q^{53} +(424.374 + 545.535i) q^{54} +(-22.7409 + 62.4802i) q^{55} +(217.908 - 1954.55i) q^{56} +(306.235 + 237.937i) q^{57} +(2425.19 + 4584.35i) q^{58} +(438.959 - 1206.03i) q^{59} +(-13.5874 + 30.1756i) q^{60} +(-674.737 - 566.171i) q^{61} +(-1672.85 + 4115.51i) q^{62} +(2416.32 + 426.063i) q^{63} +(-2778.95 + 3009.10i) q^{64} +(233.186 + 403.890i) q^{65} +(110.067 + 99.5249i) q^{66} +(1261.58 + 3466.17i) q^{67} +(4760.95 + 353.047i) q^{68} +(352.138 - 609.921i) q^{69} +(72.6587 + 225.231i) q^{70} +(2360.72 + 2813.40i) q^{71} +(-3526.54 - 3698.25i) q^{72} +(313.651 + 1778.80i) q^{73} +(-108.893 - 786.816i) q^{74} +667.428i q^{75} +(-4893.65 - 3068.28i) q^{76} +1061.18 q^{77} +(1031.01 - 142.689i) q^{78} +(-4380.83 + 772.458i) q^{79} +(156.252 - 467.475i) q^{80} +(4812.22 - 4037.93i) q^{81} +(-3153.97 + 1017.46i) q^{82} +(6444.01 + 3720.45i) q^{83} +(526.729 + 39.0594i) q^{84} +(-539.842 + 196.487i) q^{85} +(-9584.47 + 10599.7i) q^{86} +(-1206.25 + 696.429i) q^{87} +(-1779.81 - 1310.34i) q^{88} +(-61.4577 + 348.544i) q^{89} +(569.672 + 231.557i) q^{90} +(4784.47 - 5701.92i) q^{91} +(-4306.73 + 9564.60i) q^{92} +(-1121.14 - 408.063i) q^{93} +(1788.68 - 946.237i) q^{94} +(688.554 + 94.8883i) q^{95} +(-835.197 - 715.913i) q^{96} +(1927.50 + 701.553i) q^{97} +(-4599.18 + 3577.72i) q^{98} +(1772.40 - 2112.26i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.548361 3.96223i −0.137090 0.990559i
\(3\) 1.05794 0.186543i 0.117548 0.0207270i −0.114564 0.993416i \(-0.536547\pi\)
0.232113 + 0.972689i \(0.425436\pi\)
\(4\) −15.3986 + 4.34547i −0.962413 + 0.271592i
\(5\) 1.47493 1.23761i 0.0589970 0.0495044i −0.612812 0.790228i \(-0.709962\pi\)
0.671809 + 0.740724i \(0.265517\pi\)
\(6\) −1.31926 4.08950i −0.0366460 0.113597i
\(7\) −26.6122 15.3646i −0.543106 0.313562i 0.203231 0.979131i \(-0.434856\pi\)
−0.746337 + 0.665568i \(0.768189\pi\)
\(8\) 25.6618 + 58.6300i 0.400965 + 0.916093i
\(9\) −75.0307 + 27.3089i −0.926305 + 0.337147i
\(10\) −5.71249 5.16535i −0.0571249 0.0516535i
\(11\) −29.9069 + 17.2667i −0.247164 + 0.142700i −0.618465 0.785812i \(-0.712245\pi\)
0.371301 + 0.928513i \(0.378912\pi\)
\(12\) −15.4801 + 7.46972i −0.107501 + 0.0518731i
\(13\) −42.0617 + 238.544i −0.248886 + 1.41150i 0.562406 + 0.826861i \(0.309876\pi\)
−0.811292 + 0.584641i \(0.801235\pi\)
\(14\) −46.2849 + 113.869i −0.236147 + 0.580965i
\(15\) 1.32951 1.58445i 0.00590893 0.00704199i
\(16\) 218.234 133.828i 0.852476 0.522767i
\(17\) −280.382 102.051i −0.970181 0.353117i −0.192166 0.981362i \(-0.561551\pi\)
−0.778015 + 0.628245i \(0.783773\pi\)
\(18\) 149.348 + 282.314i 0.460951 + 0.871339i
\(19\) 242.275 + 267.627i 0.671121 + 0.741348i
\(20\) −17.3338 + 25.4667i −0.0433345 + 0.0636668i
\(21\) −31.0201 11.2904i −0.0703405 0.0256018i
\(22\) 84.8147 + 109.030i 0.175237 + 0.225268i
\(23\) 421.407 502.214i 0.796611 0.949365i −0.202944 0.979190i \(-0.565051\pi\)
0.999555 + 0.0298259i \(0.00949528\pi\)
\(24\) 38.0855 + 57.2397i 0.0661206 + 0.0993746i
\(25\) −107.886 + 611.854i −0.172618 + 0.978967i
\(26\) 968.231 + 35.8503i 1.43229 + 0.0530329i
\(27\) −149.640 + 86.3949i −0.205268 + 0.118512i
\(28\) 476.557 + 120.950i 0.607853 + 0.154273i
\(29\) −1218.39 + 443.456i −1.44873 + 0.527296i −0.942237 0.334946i \(-0.891282\pi\)
−0.506497 + 0.862242i \(0.669060\pi\)
\(30\) −7.00701 4.39898i −0.00778556 0.00488776i
\(31\) −961.830 555.313i −1.00086 0.577849i −0.0923598 0.995726i \(-0.529441\pi\)
−0.908504 + 0.417877i \(0.862774\pi\)
\(32\) −649.930 791.307i −0.634697 0.772761i
\(33\) −28.4186 + 23.8460i −0.0260960 + 0.0218972i
\(34\) −250.599 + 1166.90i −0.216781 + 1.00943i
\(35\) −58.2664 + 10.2739i −0.0475644 + 0.00838688i
\(36\) 1036.70 746.563i 0.799921 0.576052i
\(37\) 198.579 0.145054 0.0725270 0.997366i \(-0.476894\pi\)
0.0725270 + 0.997366i \(0.476894\pi\)
\(38\) 927.546 1106.70i 0.642345 0.766416i
\(39\) 260.210i 0.171078i
\(40\) 110.410 + 54.7156i 0.0690064 + 0.0341973i
\(41\) −143.868 815.918i −0.0855850 0.485377i −0.997229 0.0743955i \(-0.976297\pi\)
0.911644 0.410981i \(-0.134814\pi\)
\(42\) −27.7250 + 129.100i −0.0157171 + 0.0731861i
\(43\) −2296.43 2736.77i −1.24198 1.48014i −0.818786 0.574099i \(-0.805352\pi\)
−0.423197 0.906038i \(-0.639092\pi\)
\(44\) 385.492 395.843i 0.199118 0.204464i
\(45\) −76.8669 + 133.137i −0.0379590 + 0.0657468i
\(46\) −2220.97 1394.32i −1.04961 0.658942i
\(47\) 173.023 + 475.377i 0.0783265 + 0.215200i 0.972675 0.232170i \(-0.0745827\pi\)
−0.894349 + 0.447371i \(0.852360\pi\)
\(48\) 205.913 182.292i 0.0893718 0.0791196i
\(49\) −728.361 1261.56i −0.303357 0.525430i
\(50\) 2483.47 + 91.9543i 0.993388 + 0.0367817i
\(51\) −315.663 55.6600i −0.121362 0.0213995i
\(52\) −388.893 3856.02i −0.143821 1.42604i
\(53\) 1203.51 + 1009.87i 0.428449 + 0.359511i 0.831366 0.555725i \(-0.187559\pi\)
−0.402917 + 0.915236i \(0.632004\pi\)
\(54\) 424.374 + 545.535i 0.145533 + 0.187083i
\(55\) −22.7409 + 62.4802i −0.00751767 + 0.0206546i
\(56\) 217.908 1954.55i 0.0694860 0.623263i
\(57\) 306.235 + 237.937i 0.0942551 + 0.0732340i
\(58\) 2425.19 + 4584.35i 0.720925 + 1.36277i
\(59\) 438.959 1206.03i 0.126101 0.346461i −0.860537 0.509389i \(-0.829872\pi\)
0.986638 + 0.162928i \(0.0520938\pi\)
\(60\) −13.5874 + 30.1756i −0.00377428 + 0.00838212i
\(61\) −674.737 566.171i −0.181332 0.152156i 0.547604 0.836738i \(-0.315540\pi\)
−0.728936 + 0.684582i \(0.759985\pi\)
\(62\) −1672.85 + 4115.51i −0.435185 + 1.07063i
\(63\) 2416.32 + 426.063i 0.608798 + 0.107348i
\(64\) −2778.95 + 3009.10i −0.678454 + 0.734643i
\(65\) 233.186 + 403.890i 0.0551920 + 0.0955954i
\(66\) 110.067 + 99.5249i 0.0252679 + 0.0228478i
\(67\) 1261.58 + 3466.17i 0.281039 + 0.772148i 0.997239 + 0.0742537i \(0.0236574\pi\)
−0.716200 + 0.697895i \(0.754120\pi\)
\(68\) 4760.95 + 353.047i 1.02962 + 0.0763511i
\(69\) 352.138 609.921i 0.0739630 0.128108i
\(70\) 72.6587 + 225.231i 0.0148283 + 0.0459655i
\(71\) 2360.72 + 2813.40i 0.468304 + 0.558103i 0.947562 0.319571i \(-0.103539\pi\)
−0.479258 + 0.877674i \(0.659094\pi\)
\(72\) −3526.54 3698.25i −0.680274 0.713397i
\(73\) 313.651 + 1778.80i 0.0588573 + 0.333796i 0.999991 0.00423816i \(-0.00134905\pi\)
−0.941134 + 0.338035i \(0.890238\pi\)
\(74\) −108.893 786.816i −0.0198855 0.143685i
\(75\) 667.428i 0.118654i
\(76\) −4893.65 3068.28i −0.847239 0.531212i
\(77\) 1061.18 0.178982
\(78\) 1031.01 142.689i 0.169463 0.0234532i
\(79\) −4380.83 + 772.458i −0.701943 + 0.123772i −0.513218 0.858258i \(-0.671547\pi\)
−0.188725 + 0.982030i \(0.560436\pi\)
\(80\) 156.252 467.475i 0.0244143 0.0730430i
\(81\) 4812.22 4037.93i 0.733458 0.615444i
\(82\) −3153.97 + 1017.46i −0.469061 + 0.151317i
\(83\) 6444.01 + 3720.45i 0.935405 + 0.540057i 0.888517 0.458844i \(-0.151736\pi\)
0.0468884 + 0.998900i \(0.485069\pi\)
\(84\) 526.729 + 39.0594i 0.0746498 + 0.00553564i
\(85\) −539.842 + 196.487i −0.0747187 + 0.0271954i
\(86\) −9584.47 + 10599.7i −1.29590 + 1.43317i
\(87\) −1206.25 + 696.429i −0.159367 + 0.0920107i
\(88\) −1779.81 1310.34i −0.229831 0.169208i
\(89\) −61.4577 + 348.544i −0.00775884 + 0.0440025i −0.988441 0.151604i \(-0.951556\pi\)
0.980683 + 0.195606i \(0.0626674\pi\)
\(90\) 569.672 + 231.557i 0.0703299 + 0.0285873i
\(91\) 4784.47 5701.92i 0.577765 0.688554i
\(92\) −4306.73 + 9564.60i −0.508829 + 1.13003i
\(93\) −1121.14 408.063i −0.129627 0.0471804i
\(94\) 1788.68 946.237i 0.202431 0.107089i
\(95\) 688.554 + 94.8883i 0.0762941 + 0.0105139i
\(96\) −835.197 715.913i −0.0906246 0.0776815i
\(97\) 1927.50 + 701.553i 0.204857 + 0.0745619i 0.442411 0.896813i \(-0.354123\pi\)
−0.237554 + 0.971374i \(0.576346\pi\)
\(98\) −4599.18 + 3577.72i −0.478882 + 0.372524i
\(99\) 1772.40 2112.26i 0.180838 0.215515i
\(100\) −997.493 9890.51i −0.0997493 0.989051i
\(101\) −1583.91 + 8982.83i −0.155271 + 0.880583i 0.803268 + 0.595618i \(0.203093\pi\)
−0.958538 + 0.284965i \(0.908018\pi\)
\(102\) −47.4404 + 1281.25i −0.00455982 + 0.123150i
\(103\) −15678.8 + 9052.18i −1.47788 + 0.853255i −0.999687 0.0249993i \(-0.992042\pi\)
−0.478194 + 0.878254i \(0.658708\pi\)
\(104\) −15065.2 + 3655.38i −1.39286 + 0.337960i
\(105\) −59.7255 + 21.7383i −0.00541728 + 0.00197173i
\(106\) 3341.37 5322.37i 0.297381 0.473689i
\(107\) 3008.15 + 1736.76i 0.262744 + 0.151695i 0.625585 0.780156i \(-0.284860\pi\)
−0.362842 + 0.931851i \(0.618193\pi\)
\(108\) 1928.83 1980.62i 0.165366 0.169806i
\(109\) 15491.5 12998.9i 1.30389 1.09409i 0.314427 0.949282i \(-0.398188\pi\)
0.989460 0.144809i \(-0.0462567\pi\)
\(110\) 260.032 + 55.8432i 0.0214902 + 0.00461514i
\(111\) 210.084 37.0434i 0.0170509 0.00300653i
\(112\) −7863.89 + 208.398i −0.626905 + 0.0166134i
\(113\) 12687.8 0.993640 0.496820 0.867854i \(-0.334501\pi\)
0.496820 + 0.867854i \(0.334501\pi\)
\(114\) 774.837 1343.85i 0.0596212 0.103405i
\(115\) 1262.27i 0.0954455i
\(116\) 16834.4 12123.1i 1.25107 0.900941i
\(117\) −3358.46 19046.8i −0.245340 1.39139i
\(118\) −5019.28 1077.92i −0.360477 0.0774144i
\(119\) 5893.63 + 7023.75i 0.416187 + 0.495992i
\(120\) 127.014 + 37.2894i 0.00882040 + 0.00258954i
\(121\) −6724.22 + 11646.7i −0.459273 + 0.795485i
\(122\) −1873.30 + 2983.93i −0.125860 + 0.200479i
\(123\) −304.407 836.352i −0.0201208 0.0552814i
\(124\) 17223.9 + 4371.44i 1.12018 + 0.284303i
\(125\) 1199.79 + 2078.10i 0.0767868 + 0.132999i
\(126\) 363.144 9807.67i 0.0228738 0.617767i
\(127\) 6827.43 + 1203.86i 0.423301 + 0.0746395i 0.381241 0.924476i \(-0.375497\pi\)
0.0420603 + 0.999115i \(0.486608\pi\)
\(128\) 13446.6 + 9360.78i 0.820716 + 0.571336i
\(129\) −2940.00 2466.95i −0.176672 0.148245i
\(130\) 1472.44 1145.42i 0.0871265 0.0677761i
\(131\) 6537.46 17961.5i 0.380949 1.04665i −0.590009 0.807397i \(-0.700876\pi\)
0.970958 0.239251i \(-0.0769020\pi\)
\(132\) 333.984 490.687i 0.0191681 0.0281616i
\(133\) −2335.49 10844.6i −0.132031 0.613069i
\(134\) 13042.0 6899.41i 0.726330 0.384240i
\(135\) −113.785 + 312.622i −0.00624336 + 0.0171535i
\(136\) −1211.87 19057.6i −0.0655204 1.03036i
\(137\) −15911.1 13351.0i −0.847731 0.711330i 0.111558 0.993758i \(-0.464416\pi\)
−0.959289 + 0.282427i \(0.908860\pi\)
\(138\) −2609.75 1060.80i −0.137038 0.0557024i
\(139\) −24163.0 4260.60i −1.25061 0.220516i −0.491153 0.871073i \(-0.663424\pi\)
−0.759457 + 0.650557i \(0.774535\pi\)
\(140\) 852.575 411.399i 0.0434987 0.0209897i
\(141\) 271.726 + 470.643i 0.0136676 + 0.0236730i
\(142\) 9852.82 10896.5i 0.488634 0.540393i
\(143\) −2860.94 7860.37i −0.139906 0.384389i
\(144\) −12719.5 + 16001.0i −0.613403 + 0.771651i
\(145\) −1248.20 + 2161.95i −0.0593676 + 0.102828i
\(146\) 6876.03 2218.18i 0.322576 0.104062i
\(147\) −1005.89 1198.78i −0.0465497 0.0554758i
\(148\) −3057.84 + 862.919i −0.139602 + 0.0393955i
\(149\) 6773.45 + 38414.2i 0.305097 + 1.73029i 0.623049 + 0.782183i \(0.285894\pi\)
−0.317952 + 0.948107i \(0.602995\pi\)
\(150\) 2644.51 365.991i 0.117534 0.0162663i
\(151\) 12457.9i 0.546376i −0.961961 0.273188i \(-0.911922\pi\)
0.961961 0.273188i \(-0.0880781\pi\)
\(152\) −9473.76 + 21072.3i −0.410048 + 0.912064i
\(153\) 23824.2 1.01774
\(154\) −581.912 4204.66i −0.0245367 0.177292i
\(155\) −2105.89 + 371.325i −0.0876540 + 0.0154558i
\(156\) −1130.74 4006.88i −0.0464635 0.164648i
\(157\) −23219.9 + 19483.8i −0.942022 + 0.790450i −0.977936 0.208904i \(-0.933010\pi\)
0.0359139 + 0.999355i \(0.488566\pi\)
\(158\) 5462.94 + 16934.3i 0.218833 + 0.678348i
\(159\) 1461.62 + 843.868i 0.0578151 + 0.0333795i
\(160\) −1937.93 362.760i −0.0757003 0.0141703i
\(161\) −18930.9 + 6890.27i −0.730330 + 0.265818i
\(162\) −18638.1 16852.9i −0.710183 0.642162i
\(163\) −804.336 + 464.383i −0.0302735 + 0.0174784i −0.515060 0.857154i \(-0.672230\pi\)
0.484787 + 0.874632i \(0.338897\pi\)
\(164\) 5760.92 + 11938.8i 0.214192 + 0.443889i
\(165\) −12.4032 + 70.3422i −0.000455582 + 0.00258374i
\(166\) 11207.7 27572.8i 0.406723 1.00061i
\(167\) −26942.4 + 32108.7i −0.966057 + 1.15130i 0.0223920 + 0.999749i \(0.492872\pi\)
−0.988449 + 0.151553i \(0.951573\pi\)
\(168\) −134.075 2108.44i −0.00475039 0.0747039i
\(169\) −28295.4 10298.7i −0.990700 0.360585i
\(170\) 1074.55 + 2031.24i 0.0371818 + 0.0702850i
\(171\) −25486.6 13464.0i −0.871606 0.460448i
\(172\) 47254.3 + 32163.4i 1.59729 + 1.08719i
\(173\) −8168.58 2973.12i −0.272932 0.0993391i 0.201928 0.979400i \(-0.435279\pi\)
−0.474860 + 0.880061i \(0.657501\pi\)
\(174\) 3420.88 + 4397.55i 0.112990 + 0.145249i
\(175\) 12272.0 14625.2i 0.400717 0.477556i
\(176\) −4215.91 + 7770.57i −0.136103 + 0.250858i
\(177\) 239.414 1357.79i 0.00764194 0.0433396i
\(178\) 1414.71 + 52.3820i 0.0446508 + 0.00165326i
\(179\) 43479.5 25102.9i 1.35699 0.783461i 0.367777 0.929914i \(-0.380119\pi\)
0.989218 + 0.146453i \(0.0467857\pi\)
\(180\) 605.098 2384.15i 0.0186759 0.0735849i
\(181\) −43830.8 + 15953.1i −1.33789 + 0.486954i −0.909149 0.416471i \(-0.863267\pi\)
−0.428746 + 0.903425i \(0.641044\pi\)
\(182\) −25215.9 15830.5i −0.761259 0.477916i
\(183\) −819.443 473.106i −0.0244690 0.0141272i
\(184\) 40258.8 + 11819.4i 1.18912 + 0.349109i
\(185\) 292.889 245.763i 0.00855776 0.00718081i
\(186\) −1002.05 + 4666.00i −0.0289643 + 0.134871i
\(187\) 10147.4 1789.27i 0.290184 0.0511673i
\(188\) −4730.05 6568.28i −0.133829 0.185839i
\(189\) 5309.68 0.148643
\(190\) −1.60675 2780.25i −4.45083e−5 0.0770151i
\(191\) 42743.4i 1.17166i 0.810433 + 0.585831i \(0.199232\pi\)
−0.810433 + 0.585831i \(0.800768\pi\)
\(192\) −2378.62 + 3701.82i −0.0645243 + 0.100418i
\(193\) 6491.41 + 36814.6i 0.174271 + 0.988339i 0.938982 + 0.343966i \(0.111770\pi\)
−0.764711 + 0.644373i \(0.777118\pi\)
\(194\) 1722.75 8021.91i 0.0457740 0.213145i
\(195\) 322.039 + 383.791i 0.00846914 + 0.0100931i
\(196\) 16697.8 + 16261.2i 0.434657 + 0.423291i
\(197\) −5405.57 + 9362.72i −0.139286 + 0.241251i −0.927227 0.374500i \(-0.877814\pi\)
0.787940 + 0.615752i \(0.211148\pi\)
\(198\) −9341.18 5864.37i −0.238271 0.149586i
\(199\) −6245.16 17158.4i −0.157702 0.433283i 0.835528 0.549448i \(-0.185162\pi\)
−0.993230 + 0.116165i \(0.962940\pi\)
\(200\) −38641.5 + 9375.87i −0.966039 + 0.234397i
\(201\) 1981.26 + 3431.65i 0.0490400 + 0.0849398i
\(202\) 36460.6 + 1350.01i 0.893555 + 0.0330852i
\(203\) 39237.4 + 6918.62i 0.952157 + 0.167891i
\(204\) 5102.64 514.620i 0.122613 0.0123659i
\(205\) −1221.98 1025.37i −0.0290775 0.0243990i
\(206\) 44464.5 + 57159.4i 1.04780 + 1.34695i
\(207\) −17903.6 + 49189.6i −0.417829 + 1.14798i
\(208\) 22744.6 + 57687.4i 0.525717 + 1.33338i
\(209\) −11866.7 3820.59i −0.271668 0.0874657i
\(210\) 118.883 + 224.726i 0.00269577 + 0.00509583i
\(211\) 17736.2 48729.8i 0.398378 1.09453i −0.564697 0.825299i \(-0.691007\pi\)
0.963074 0.269236i \(-0.0867710\pi\)
\(212\) −22920.8 10320.7i −0.509985 0.229635i
\(213\) 3022.31 + 2536.02i 0.0666162 + 0.0558976i
\(214\) 5231.89 12871.4i 0.114243 0.281059i
\(215\) −6774.12 1194.46i −0.146547 0.0258401i
\(216\) −8905.37 6556.37i −0.190873 0.140526i
\(217\) 17064.3 + 29556.2i 0.362383 + 0.627666i
\(218\) −59999.6 54252.8i −1.26251 1.14159i
\(219\) 663.644 + 1823.35i 0.0138372 + 0.0380173i
\(220\) 78.6728 1060.93i 0.00162547 0.0219200i
\(221\) 36137.0 62591.0i 0.739890 1.28153i
\(222\) −261.977 812.088i −0.00531565 0.0164777i
\(223\) 12729.6 + 15170.6i 0.255980 + 0.305066i 0.878695 0.477383i \(-0.158415\pi\)
−0.622715 + 0.782449i \(0.713970\pi\)
\(224\) 5137.97 + 31044.3i 0.102399 + 0.618708i
\(225\) −8614.29 48854.1i −0.170159 0.965019i
\(226\) −6957.49 50272.0i −0.136218 0.984259i
\(227\) 4175.20i 0.0810263i −0.999179 0.0405131i \(-0.987101\pi\)
0.999179 0.0405131i \(-0.0128993\pi\)
\(228\) −5749.54 2333.17i −0.110602 0.0448825i
\(229\) 63595.1 1.21270 0.606349 0.795199i \(-0.292633\pi\)
0.606349 + 0.795199i \(0.292633\pi\)
\(230\) −5001.39 + 692.177i −0.0945443 + 0.0130846i
\(231\) 1122.66 197.956i 0.0210390 0.00370975i
\(232\) −57265.7 60054.1i −1.06394 1.11575i
\(233\) 6618.26 5553.38i 0.121908 0.102293i −0.579796 0.814762i \(-0.696868\pi\)
0.701703 + 0.712469i \(0.252423\pi\)
\(234\) −73626.1 + 23751.5i −1.34462 + 0.433770i
\(235\) 843.528 + 487.011i 0.0152744 + 0.00881867i
\(236\) −1518.59 + 20478.7i −0.0272657 + 0.367686i
\(237\) −4490.54 + 1634.42i −0.0799469 + 0.0290983i
\(238\) 24597.9 27203.5i 0.434254 0.480253i
\(239\) −62748.1 + 36227.6i −1.09851 + 0.634226i −0.935830 0.352452i \(-0.885348\pi\)
−0.162682 + 0.986679i \(0.552015\pi\)
\(240\) 78.1001 523.706i 0.00135590 0.00909212i
\(241\) 8433.63 47829.5i 0.145205 0.823496i −0.821998 0.569490i \(-0.807141\pi\)
0.967203 0.254006i \(-0.0817483\pi\)
\(242\) 49834.2 + 20256.3i 0.850936 + 0.345884i
\(243\) 13334.2 15891.1i 0.225816 0.269117i
\(244\) 12850.3 + 5786.20i 0.215841 + 0.0971882i
\(245\) −2635.59 959.278i −0.0439083 0.0159813i
\(246\) −3146.90 + 1664.76i −0.0520011 + 0.0275093i
\(247\) −74031.2 + 46536.2i −1.21345 + 0.762777i
\(248\) 7875.73 70642.4i 0.128052 1.14858i
\(249\) 7511.37 + 2733.92i 0.121149 + 0.0440947i
\(250\) 7576.01 5893.41i 0.121216 0.0942946i
\(251\) 59628.7 71062.7i 0.946472 1.12796i −0.0451750 0.998979i \(-0.514385\pi\)
0.991647 0.128982i \(-0.0411710\pi\)
\(252\) −39059.4 + 3939.28i −0.615070 + 0.0620320i
\(253\) −3931.38 + 22296.0i −0.0614192 + 0.348326i
\(254\) 1026.08 27712.0i 0.0159043 0.429537i
\(255\) −534.465 + 308.574i −0.00821938 + 0.00474546i
\(256\) 29716.0 58411.7i 0.453430 0.891292i
\(257\) 61612.7 22425.2i 0.932833 0.339524i 0.169501 0.985530i \(-0.445784\pi\)
0.763332 + 0.646006i \(0.223562\pi\)
\(258\) −8162.45 + 13001.7i −0.122626 + 0.195327i
\(259\) −5284.62 3051.08i −0.0787797 0.0454835i
\(260\) −5345.83 5206.04i −0.0790804 0.0770125i
\(261\) 79306.0 66545.6i 1.16419 0.976874i
\(262\) −74752.7 16053.6i −1.08899 0.233867i
\(263\) −82922.0 + 14621.4i −1.19883 + 0.211387i −0.737194 0.675681i \(-0.763849\pi\)
−0.461639 + 0.887068i \(0.652738\pi\)
\(264\) −2127.36 1054.25i −0.0305235 0.0151264i
\(265\) 3024.91 0.0430746
\(266\) −41688.1 + 15200.5i −0.589181 + 0.214830i
\(267\) 380.202i 0.00533325i
\(268\) −34488.8 47892.1i −0.480185 0.666797i
\(269\) −2374.72 13467.7i −0.0328176 0.186118i 0.963992 0.265930i \(-0.0856791\pi\)
−0.996810 + 0.0798121i \(0.974568\pi\)
\(270\) 1301.08 + 279.414i 0.0178474 + 0.00383284i
\(271\) 29631.4 + 35313.3i 0.403472 + 0.480839i 0.929075 0.369891i \(-0.120605\pi\)
−0.525604 + 0.850730i \(0.676160\pi\)
\(272\) −74846.2 + 15252.1i −1.01165 + 0.206155i
\(273\) 3998.02 6924.77i 0.0536438 0.0929138i
\(274\) −44174.6 + 70364.5i −0.588399 + 0.937243i
\(275\) −7338.18 20161.5i −0.0970338 0.266598i
\(276\) −2772.04 + 10922.1i −0.0363899 + 0.143380i
\(277\) −24346.2 42168.8i −0.317301 0.549581i 0.662623 0.748953i \(-0.269443\pi\)
−0.979924 + 0.199372i \(0.936110\pi\)
\(278\) −3631.41 + 98076.0i −0.0469879 + 1.26903i
\(279\) 87331.7 + 15398.9i 1.12192 + 0.197826i
\(280\) −2097.58 3152.51i −0.0267548 0.0402106i
\(281\) 48409.6 + 40620.5i 0.613083 + 0.514438i 0.895621 0.444819i \(-0.146732\pi\)
−0.282538 + 0.959256i \(0.591176\pi\)
\(282\) 1715.79 1334.72i 0.0215758 0.0167839i
\(283\) 29724.1 81666.3i 0.371138 1.01969i −0.603784 0.797148i \(-0.706341\pi\)
0.974922 0.222546i \(-0.0714368\pi\)
\(284\) −48577.3 33064.0i −0.602278 0.409938i
\(285\) 746.147 28.0591i 0.00918618 0.000345449i
\(286\) −29575.8 + 15646.0i −0.361580 + 0.191281i
\(287\) −8707.57 + 23923.9i −0.105714 + 0.290447i
\(288\) 70374.4 + 41623.4i 0.848457 + 0.501826i
\(289\) 4219.10 + 3540.25i 0.0505155 + 0.0423875i
\(290\) 9250.62 + 3760.14i 0.109995 + 0.0447104i
\(291\) 2170.04 + 382.637i 0.0256261 + 0.00451857i
\(292\) −12559.5 26028.1i −0.147301 0.305265i
\(293\) 7867.42 + 13626.8i 0.0916425 + 0.158730i 0.908202 0.418531i \(-0.137455\pi\)
−0.816560 + 0.577261i \(0.804122\pi\)
\(294\) −4198.24 + 4642.95i −0.0485705 + 0.0537154i
\(295\) −845.162 2322.06i −0.00971172 0.0266827i
\(296\) 5095.88 + 11642.7i 0.0581616 + 0.132883i
\(297\) 2983.52 5167.60i 0.0338233 0.0585836i
\(298\) 148492. 47902.8i 1.67213 0.539422i
\(299\) 102075. + 121648.i 1.14176 + 1.36070i
\(300\) −2900.29 10277.5i −0.0322254 0.114194i
\(301\) 19063.6 + 108115.i 0.210413 + 1.19331i
\(302\) −49361.2 + 6831.43i −0.541217 + 0.0749028i
\(303\) 9798.72i 0.106729i
\(304\) 88688.5 + 25982.0i 0.959666 + 0.281142i
\(305\) −1695.89 −0.0182304
\(306\) −13064.2 94397.0i −0.139522 1.00813i
\(307\) −106858. + 18841.9i −1.13378 + 0.199916i −0.708884 0.705325i \(-0.750801\pi\)
−0.424898 + 0.905241i \(0.639690\pi\)
\(308\) −16340.7 + 4611.34i −0.172254 + 0.0486100i
\(309\) −14898.6 + 12501.4i −0.156037 + 0.130931i
\(310\) 2626.06 + 8140.40i 0.0273264 + 0.0847076i
\(311\) 110041. + 63532.2i 1.13772 + 0.656861i 0.945864 0.324563i \(-0.105217\pi\)
0.191852 + 0.981424i \(0.438551\pi\)
\(312\) −15256.1 + 6677.45i −0.156724 + 0.0685965i
\(313\) −124322. + 45249.6i −1.26900 + 0.461877i −0.886778 0.462195i \(-0.847062\pi\)
−0.382218 + 0.924072i \(0.624840\pi\)
\(314\) 89932.3 + 81318.5i 0.912129 + 0.824765i
\(315\) 4091.19 2362.05i 0.0412315 0.0238050i
\(316\) 64101.9 30931.5i 0.641944 0.309761i
\(317\) 16052.8 91039.7i 0.159746 0.905967i −0.794571 0.607171i \(-0.792304\pi\)
0.954317 0.298795i \(-0.0965848\pi\)
\(318\) 2542.11 6254.04i 0.0251385 0.0618452i
\(319\) 28781.1 34299.9i 0.282830 0.337064i
\(320\) −374.657 + 7877.45i −0.00365876 + 0.0769282i
\(321\) 3506.41 + 1276.23i 0.0340293 + 0.0123856i
\(322\) 37681.8 + 71230.2i 0.363430 + 0.686993i
\(323\) −40618.0 99762.1i −0.389326 0.956226i
\(324\) −56554.7 + 83089.8i −0.538739 + 0.791512i
\(325\) −141416. 51471.3i −1.33885 0.487302i
\(326\) 2281.06 + 2932.32i 0.0214636 + 0.0275915i
\(327\) 13964.1 16641.8i 0.130593 0.155634i
\(328\) 44145.4 29372.9i 0.410334 0.273023i
\(329\) 2699.44 15309.3i 0.0249391 0.141437i
\(330\) 285.514 + 10.5716i 0.00262180 + 9.70761e-5i
\(331\) −41940.2 + 24214.2i −0.382802 + 0.221011i −0.679037 0.734104i \(-0.737602\pi\)
0.296234 + 0.955115i \(0.404269\pi\)
\(332\) −115396. 29287.5i −1.04692 0.265709i
\(333\) −14899.5 + 5422.98i −0.134364 + 0.0489046i
\(334\) 141996. + 89144.8i 1.27287 + 0.799104i
\(335\) 6150.51 + 3551.00i 0.0548052 + 0.0316418i
\(336\) −8280.62 + 1687.42i −0.0733473 + 0.0149467i
\(337\) −116649. + 97880.4i −1.02712 + 0.861859i −0.990506 0.137471i \(-0.956103\pi\)
−0.0366172 + 0.999329i \(0.511658\pi\)
\(338\) −25289.7 + 117760.i −0.221366 + 1.03078i
\(339\) 13422.9 2366.81i 0.116801 0.0205951i
\(340\) 7458.99 5371.49i 0.0645241 0.0464661i
\(341\) 38353.8 0.329837
\(342\) −39371.5 + 108367.i −0.336612 + 0.926499i
\(343\) 118544.i 1.00761i
\(344\) 101527. 204870.i 0.857952 1.73126i
\(345\) −235.466 1335.40i −0.00197829 0.0112195i
\(346\) −7300.86 + 33996.2i −0.0609849 + 0.283973i
\(347\) −60588.5 72206.5i −0.503189 0.599677i 0.453332 0.891342i \(-0.350235\pi\)
−0.956521 + 0.291665i \(0.905791\pi\)
\(348\) 15548.3 15965.8i 0.128388 0.131835i
\(349\) −68961.6 + 119445.i −0.566183 + 0.980657i 0.430756 + 0.902468i \(0.358247\pi\)
−0.996939 + 0.0781887i \(0.975086\pi\)
\(350\) −64677.8 40604.5i −0.527982 0.331466i
\(351\) −14314.8 39329.7i −0.116191 0.319232i
\(352\) 33100.7 + 12443.4i 0.267148 + 0.100427i
\(353\) 55756.5 + 96573.0i 0.447451 + 0.775008i 0.998219 0.0596499i \(-0.0189984\pi\)
−0.550768 + 0.834658i \(0.685665\pi\)
\(354\) −5511.15 204.059i −0.0439781 0.00162836i
\(355\) 6963.78 + 1227.90i 0.0552571 + 0.00974332i
\(356\) −568.225 5634.16i −0.00448353 0.0444558i
\(357\) 7545.31 + 6331.26i 0.0592026 + 0.0496768i
\(358\) −123306. 158510.i −0.962095 1.23678i
\(359\) 25263.6 69411.2i 0.196023 0.538568i −0.802271 0.596960i \(-0.796375\pi\)
0.998294 + 0.0583920i \(0.0185973\pi\)
\(360\) −9778.38 1090.17i −0.0754505 0.00841177i
\(361\) −12927.1 + 129678.i −0.0991944 + 0.995068i
\(362\) 87245.0 + 164920.i 0.665769 + 1.25851i
\(363\) −4941.19 + 13575.8i −0.0374989 + 0.103027i
\(364\) −48896.7 + 108592.i −0.369043 + 0.819589i
\(365\) 2664.07 + 2235.42i 0.0199968 + 0.0167793i
\(366\) −1425.21 + 3506.26i −0.0106394 + 0.0261747i
\(367\) −211573. 37306.0i −1.57082 0.276979i −0.680653 0.732606i \(-0.738304\pi\)
−0.890171 + 0.455627i \(0.849415\pi\)
\(368\) 24754.9 165996.i 0.182796 1.22575i
\(369\) 33076.4 + 57290.0i 0.242921 + 0.420752i
\(370\) −1134.38 1025.73i −0.00828620 0.00749254i
\(371\) −16512.0 45366.2i −0.119964 0.329598i
\(372\) 19037.3 + 1411.70i 0.137568 + 0.0102014i
\(373\) −43607.7 + 75530.7i −0.313433 + 0.542883i −0.979103 0.203364i \(-0.934813\pi\)
0.665670 + 0.746246i \(0.268146\pi\)
\(374\) −12654.0 39225.4i −0.0904656 0.280430i
\(375\) 1656.96 + 1974.69i 0.0117828 + 0.0140422i
\(376\) −23431.3 + 22343.4i −0.165737 + 0.158042i
\(377\) −54536.3 309291.i −0.383710 2.17613i
\(378\) −2911.62 21038.2i −0.0203775 0.147240i
\(379\) 281714.i 1.96124i −0.195926 0.980619i \(-0.562771\pi\)
0.195926 0.980619i \(-0.437229\pi\)
\(380\) −11015.1 + 1530.94i −0.0762819 + 0.0106021i
\(381\) 7447.55 0.0513055
\(382\) 169360. 23438.8i 1.16060 0.160624i
\(383\) −134510. + 23717.8i −0.916977 + 0.161688i −0.612170 0.790726i \(-0.709703\pi\)
−0.304807 + 0.952414i \(0.598592\pi\)
\(384\) 15971.8 + 7394.73i 0.108316 + 0.0501488i
\(385\) 1565.17 1313.33i 0.0105594 0.00886039i
\(386\) 142309. 45908.2i 0.955117 0.308117i
\(387\) 247041. + 142629.i 1.64948 + 0.952327i
\(388\) −32729.4 2427.04i −0.217407 0.0161218i
\(389\) −15617.5 + 5684.29i −0.103208 + 0.0375645i −0.393108 0.919492i \(-0.628600\pi\)
0.289900 + 0.957057i \(0.406378\pi\)
\(390\) 1344.08 1486.45i 0.00883679 0.00977284i
\(391\) −169407. + 97806.9i −1.10809 + 0.639759i
\(392\) 55274.1 75077.5i 0.359707 0.488583i
\(393\) 3565.62 20221.7i 0.0230861 0.130928i
\(394\) 40061.5 + 16284.0i 0.258068 + 0.104898i
\(395\) −5505.40 + 6561.08i −0.0352853 + 0.0420514i
\(396\) −18113.7 + 40227.8i −0.115509 + 0.256528i
\(397\) −72026.8 26215.6i −0.456996 0.166333i 0.103256 0.994655i \(-0.467074\pi\)
−0.560253 + 0.828322i \(0.689296\pi\)
\(398\) −64561.1 + 34153.8i −0.407573 + 0.215612i
\(399\) −4493.78 11037.2i −0.0282271 0.0693287i
\(400\) 58338.9 + 147965.i 0.364618 + 0.924784i
\(401\) −253861. 92397.8i −1.57873 0.574610i −0.603801 0.797135i \(-0.706348\pi\)
−0.974927 + 0.222525i \(0.928570\pi\)
\(402\) 12510.6 9732.02i 0.0774149 0.0602214i
\(403\) 172923. 206081.i 1.06474 1.26890i
\(404\) −14644.5 145206.i −0.0897248 0.889654i
\(405\) 2100.28 11911.3i 0.0128046 0.0726188i
\(406\) 5896.91 159262.i 0.0357744 0.966183i
\(407\) −5938.88 + 3428.81i −0.0358522 + 0.0206993i
\(408\) −4837.13 19935.7i −0.0290581 0.119760i
\(409\) 165272. 60154.0i 0.987989 0.359598i 0.203047 0.979169i \(-0.434915\pi\)
0.784941 + 0.619570i \(0.212693\pi\)
\(410\) −3392.65 + 5404.06i −0.0201824 + 0.0321479i
\(411\) −19323.4 11156.4i −0.114393 0.0660449i
\(412\) 202096. 207523.i 1.19059 1.22256i
\(413\) −30211.8 + 25350.7i −0.177123 + 0.148624i
\(414\) 204718. + 43964.4i 1.19442 + 0.256508i
\(415\) 14108.9 2487.78i 0.0819213 0.0144449i
\(416\) 216099. 121753.i 1.24872 0.703547i
\(417\) −26357.7 −0.151578
\(418\) −8630.82 + 49113.8i −0.0493969 + 0.281093i
\(419\) 89944.2i 0.512324i 0.966634 + 0.256162i \(0.0824581\pi\)
−0.966634 + 0.256162i \(0.917542\pi\)
\(420\) 825.227 594.275i 0.00467816 0.00336891i
\(421\) 14276.4 + 80965.4i 0.0805478 + 0.456810i 0.998229 + 0.0594915i \(0.0189479\pi\)
−0.917681 + 0.397318i \(0.869941\pi\)
\(422\) −202805. 43553.4i −1.13881 0.244567i
\(423\) −25964.1 30942.8i −0.145108 0.172933i
\(424\) −28324.2 + 96476.9i −0.157553 + 0.536651i
\(425\) 92689.7 160543.i 0.513161 0.888820i
\(426\) 8390.99 13365.8i 0.0462375 0.0736503i
\(427\) 9257.25 + 25434.1i 0.0507722 + 0.139496i
\(428\) −53868.3 13671.8i −0.294067 0.0746342i
\(429\) −4492.99 7782.08i −0.0244130 0.0422845i
\(430\) −1018.07 + 27495.6i −0.00550605 + 0.148705i
\(431\) 44948.7 + 7925.68i 0.241971 + 0.0426660i 0.293318 0.956015i \(-0.405240\pi\)
−0.0513474 + 0.998681i \(0.516352\pi\)
\(432\) −21094.5 + 38880.4i −0.113032 + 0.208335i
\(433\) 233398. + 195844.i 1.24486 + 1.04456i 0.997128 + 0.0757357i \(0.0241305\pi\)
0.247735 + 0.968828i \(0.420314\pi\)
\(434\) 107751. 83820.1i 0.572061 0.445009i
\(435\) −917.223 + 2520.05i −0.00484726 + 0.0133177i
\(436\) −182061. + 267482.i −0.957731 + 1.40709i
\(437\) 236502. 8893.72i 1.23843 0.0465716i
\(438\) 6860.62 3629.37i 0.0357614 0.0189183i
\(439\) −39489.9 + 108498.i −0.204907 + 0.562977i −0.998995 0.0448257i \(-0.985727\pi\)
0.794088 + 0.607803i \(0.207949\pi\)
\(440\) −4246.79 + 270.051i −0.0219359 + 0.00139489i
\(441\) 89101.2 + 74764.8i 0.458148 + 0.384432i
\(442\) −267816. 108861.i −1.37086 0.557219i
\(443\) −101076. 17822.4i −0.515039 0.0908152i −0.0899132 0.995950i \(-0.528659\pi\)
−0.425126 + 0.905134i \(0.639770\pi\)
\(444\) −3074.03 + 1483.33i −0.0155934 + 0.00752440i
\(445\) 340.716 + 590.138i 0.00172057 + 0.00298012i
\(446\) 53129.0 58756.8i 0.267093 0.295385i
\(447\) 14331.8 + 39376.2i 0.0717273 + 0.197069i
\(448\) 120187. 37381.3i 0.598829 0.186251i
\(449\) 107849. 186800.i 0.534962 0.926582i −0.464203 0.885729i \(-0.653659\pi\)
0.999165 0.0408532i \(-0.0130076\pi\)
\(450\) −188848. + 60921.5i −0.932581 + 0.300847i
\(451\) 18390.9 + 21917.4i 0.0904170 + 0.107755i
\(452\) −195374. + 55134.4i −0.956292 + 0.269864i
\(453\) −2323.93 13179.7i −0.0113247 0.0642256i
\(454\) −16543.1 + 2289.52i −0.0802613 + 0.0111079i
\(455\) 14331.2i 0.0692246i
\(456\) −6091.74 + 24060.4i −0.0292962 + 0.115711i
\(457\) −389470. −1.86484 −0.932421 0.361375i \(-0.882307\pi\)
−0.932421 + 0.361375i \(0.882307\pi\)
\(458\) −34873.1 251979.i −0.166249 1.20125i
\(459\) 50773.2 8952.68i 0.240996 0.0424940i
\(460\) 5485.14 + 19437.1i 0.0259222 + 0.0918579i
\(461\) −54286.0 + 45551.4i −0.255438 + 0.214338i −0.761510 0.648153i \(-0.775542\pi\)
0.506072 + 0.862492i \(0.331097\pi\)
\(462\) −1399.97 4339.71i −0.00655897 0.0203318i
\(463\) 144753. + 83573.3i 0.675253 + 0.389857i 0.798064 0.602573i \(-0.205858\pi\)
−0.122811 + 0.992430i \(0.539191\pi\)
\(464\) −206546. + 259832.i −0.959358 + 1.20686i
\(465\) −2158.63 + 785.676i −0.00998324 + 0.00363360i
\(466\) −25633.0 23177.8i −0.118039 0.106734i
\(467\) 85114.8 49141.1i 0.390276 0.225326i −0.292004 0.956417i \(-0.594322\pi\)
0.682280 + 0.731091i \(0.260989\pi\)
\(468\) 134483. + 278699.i 0.614009 + 1.27246i
\(469\) 19682.7 111626.i 0.0894827 0.507482i
\(470\) 1467.09 3609.31i 0.00664144 0.0163391i
\(471\) −20930.6 + 24944.1i −0.0943496 + 0.112441i
\(472\) 81974.0 5212.69i 0.367953 0.0233979i
\(473\) 115934. + 42196.6i 0.518190 + 0.188606i
\(474\) 8938.40 + 16896.3i 0.0397835 + 0.0752030i
\(475\) −189887. + 119363.i −0.841603 + 0.529034i
\(476\) −121275. 82545.3i −0.535251 0.364316i
\(477\) −117879. 42904.4i −0.518082 0.188567i
\(478\) 177951. + 228757.i 0.778833 + 1.00119i
\(479\) 255987. 305073.i 1.11570 1.32964i 0.177269 0.984163i \(-0.443274\pi\)
0.938429 0.345473i \(-0.112282\pi\)
\(480\) −2117.87 22.2707i −0.00919216 9.66611e-5i
\(481\) −8352.57 + 47369.8i −0.0361019 + 0.204744i
\(482\) −194136. 7188.20i −0.835627 0.0309404i
\(483\) −18742.3 + 10820.9i −0.0803395 + 0.0463840i
\(484\) 52933.2 208563.i 0.225963 0.890319i
\(485\) 3711.17 1350.75i 0.0157771 0.00574239i
\(486\) −70276.2 44119.2i −0.297533 0.186791i
\(487\) −151988. 87750.4i −0.640843 0.369991i 0.144096 0.989564i \(-0.453973\pi\)
−0.784939 + 0.619573i \(0.787306\pi\)
\(488\) 15879.7 54088.7i 0.0666810 0.227126i
\(489\) −764.308 + 641.331i −0.00319632 + 0.00268203i
\(490\) −2355.63 + 10968.9i −0.00981102 + 0.0456846i
\(491\) −288778. + 50919.4i −1.19785 + 0.211213i −0.736768 0.676146i \(-0.763649\pi\)
−0.461080 + 0.887359i \(0.652538\pi\)
\(492\) 8321.78 + 11555.9i 0.0343784 + 0.0477388i
\(493\) 386869. 1.59173
\(494\) 224983. + 267810.i 0.921927 + 1.09742i
\(495\) 5308.96i 0.0216670i
\(496\) −284220. + 7532.01i −1.15529 + 0.0306159i
\(497\) −19597.4 111142.i −0.0793387 0.449952i
\(498\) 6713.47 31261.0i 0.0270700 0.126050i
\(499\) 172306. + 205346.i 0.691987 + 0.824678i 0.991595 0.129384i \(-0.0413001\pi\)
−0.299607 + 0.954063i \(0.596856\pi\)
\(500\) −27505.5 26786.2i −0.110022 0.107145i
\(501\) −22513.7 + 38994.8i −0.0896955 + 0.155357i
\(502\) −314265. 197295.i −1.24706 0.782903i
\(503\) 136035. + 373752.i 0.537668 + 1.47723i 0.849756 + 0.527177i \(0.176749\pi\)
−0.312088 + 0.950053i \(0.601028\pi\)
\(504\) 37027.0 + 152602.i 0.145766 + 0.600759i
\(505\) 8781.08 + 15209.3i 0.0344322 + 0.0596384i
\(506\) 90497.7 + 3350.82i 0.353457 + 0.0130873i
\(507\) −31855.9 5617.05i −0.123929 0.0218520i
\(508\) −110364. + 11130.6i −0.427662 + 0.0431312i
\(509\) −105103. 88191.7i −0.405676 0.340402i 0.417007 0.908903i \(-0.363079\pi\)
−0.822682 + 0.568501i \(0.807524\pi\)
\(510\) 1515.72 + 1948.47i 0.00582746 + 0.00749123i
\(511\) 18983.6 52156.9i 0.0727002 0.199742i
\(512\) −247736. 85711.0i −0.945038 0.326962i
\(513\) −59375.6 19116.5i −0.225618 0.0726395i
\(514\) −122640. 231827.i −0.464200 0.877481i
\(515\) −11922.1 + 32755.6i −0.0449507 + 0.123501i
\(516\) 55991.9 + 25211.9i 0.210293 + 0.0946905i
\(517\) −13382.8 11229.5i −0.0500687 0.0420126i
\(518\) −9191.21 + 22612.0i −0.0342541 + 0.0842713i
\(519\) −9196.44 1621.58i −0.0341417 0.00602010i
\(520\) −17696.1 + 24036.2i −0.0654442 + 0.0888914i
\(521\) 206253. + 357241.i 0.759845 + 1.31609i 0.942929 + 0.332993i \(0.108059\pi\)
−0.183084 + 0.983097i \(0.558608\pi\)
\(522\) −307158. 277738.i −1.12725 1.01928i
\(523\) 66765.9 + 183438.i 0.244091 + 0.670634i 0.999875 + 0.0158131i \(0.00503367\pi\)
−0.755784 + 0.654821i \(0.772744\pi\)
\(524\) −22616.5 + 304991.i −0.0823688 + 1.11077i
\(525\) 10254.7 17761.7i 0.0372054 0.0644416i
\(526\) 103405. + 320539.i 0.373739 + 1.15853i
\(527\) 213010. + 253855.i 0.766971 + 0.914040i
\(528\) −3010.62 + 9007.22i −0.0107991 + 0.0323089i
\(529\) −26040.6 147684.i −0.0930551 0.527742i
\(530\) −1658.74 11985.4i −0.00590511 0.0426679i
\(531\) 102477.i 0.363443i
\(532\) 83088.1 + 156843.i 0.293572 + 0.554167i
\(533\) 200684. 0.706411
\(534\) 1506.45 208.488i 0.00528289 0.000731136i
\(535\) 6586.23 1161.33i 0.0230107 0.00405740i
\(536\) −170847. + 162915.i −0.594673 + 0.567062i
\(537\) 41315.7 34668.0i 0.143274 0.120221i
\(538\) −52060.0 + 16794.3i −0.179862 + 0.0580228i
\(539\) 43566.0 + 25152.8i 0.149958 + 0.0865784i
\(540\) 393.643 5308.40i 0.00134994 0.0182044i
\(541\) −154367. + 56184.8i −0.527423 + 0.191966i −0.591987 0.805947i \(-0.701656\pi\)
0.0645645 + 0.997914i \(0.479434\pi\)
\(542\) 123671. 136771.i 0.420987 0.465581i
\(543\) −43394.2 + 25053.7i −0.147174 + 0.0849712i
\(544\) 101475. + 288194.i 0.342896 + 0.973841i
\(545\) 6761.22 38344.8i 0.0227631 0.129096i
\(546\) −29629.9 12043.8i −0.0993906 0.0403997i
\(547\) 264723. 315484.i 0.884741 1.05439i −0.113406 0.993549i \(-0.536176\pi\)
0.998147 0.0608450i \(-0.0193795\pi\)
\(548\) 303024. + 136445.i 1.00906 + 0.454357i
\(549\) 66087.5 + 24053.9i 0.219268 + 0.0798069i
\(550\) −75860.6 + 40131.4i −0.250779 + 0.132666i
\(551\) −413864. 218634.i −1.36319 0.720137i
\(552\) 44796.1 + 4994.20i 0.147015 + 0.0163903i
\(553\) 128452. + 46752.7i 0.420040 + 0.152882i
\(554\) −153732. + 119589.i −0.500894 + 0.389647i
\(555\) 264.013 314.638i 0.000857115 0.00102147i
\(556\) 390591. 39392.5i 1.26349 0.127428i
\(557\) 4951.95 28083.9i 0.0159612 0.0905205i −0.975787 0.218725i \(-0.929810\pi\)
0.991748 + 0.128204i \(0.0409214\pi\)
\(558\) 13124.9 354473.i 0.0421529 1.13845i
\(559\) 749432. 432685.i 2.39833 1.38468i
\(560\) −11340.7 + 10039.8i −0.0361631 + 0.0320147i
\(561\) 10401.6 3785.86i 0.0330501 0.0120293i
\(562\) 134402. 214085.i 0.425533 0.677819i
\(563\) −261239. 150827.i −0.824180 0.475840i 0.0276761 0.999617i \(-0.491189\pi\)
−0.851856 + 0.523777i \(0.824523\pi\)
\(564\) −6229.36 6066.46i −0.0195833 0.0190712i
\(565\) 18713.5 15702.5i 0.0586218 0.0491895i
\(566\) −339880. 72991.2i −1.06095 0.227844i
\(567\) −190105. + 33520.6i −0.591326 + 0.104267i
\(568\) −104369. + 210606.i −0.323501 + 0.652790i
\(569\) −262214. −0.809901 −0.404950 0.914339i \(-0.632711\pi\)
−0.404950 + 0.914339i \(0.632711\pi\)
\(570\) −520.334 2941.02i −0.00160152 0.00905209i
\(571\) 275355.i 0.844541i 0.906470 + 0.422270i \(0.138767\pi\)
−0.906470 + 0.422270i \(0.861233\pi\)
\(572\) 78211.5 + 108607.i 0.239044 + 0.331943i
\(573\) 7973.47 + 45219.8i 0.0242850 + 0.137727i
\(574\) 99566.8 + 21382.5i 0.302197 + 0.0648986i
\(575\) 261817. + 312022.i 0.791886 + 0.943734i
\(576\) 126331. 301665.i 0.380773 0.909242i
\(577\) −8506.76 + 14734.1i −0.0255513 + 0.0442561i −0.878518 0.477709i \(-0.841467\pi\)
0.852967 + 0.521965i \(0.174801\pi\)
\(578\) 11713.7 18658.4i 0.0350621 0.0558494i
\(579\) 13735.0 + 37736.6i 0.0409705 + 0.112566i
\(580\) 9825.89 38715.0i 0.0292089 0.115086i
\(581\) −114326. 198019.i −0.338683 0.586616i
\(582\) 326.131 8808.03i 0.000962822 0.0260036i
\(583\) −53430.4 9421.23i −0.157200 0.0277185i
\(584\) −96242.2 + 64036.5i −0.282189 + 0.187759i
\(585\) −28525.9 23936.1i −0.0833543 0.0699426i
\(586\) 49678.3 38645.0i 0.144668 0.112538i
\(587\) −140107. + 384941.i −0.406615 + 1.11717i 0.552342 + 0.833617i \(0.313734\pi\)
−0.958958 + 0.283549i \(0.908488\pi\)
\(588\) 20698.6 + 14088.4i 0.0598668 + 0.0407481i
\(589\) −84410.3 391949.i −0.243313 1.12979i
\(590\) −8737.11 + 4622.06i −0.0250994 + 0.0132780i
\(591\) −3972.20 + 10913.5i −0.0113725 + 0.0312457i
\(592\) 43336.6 26575.5i 0.123655 0.0758294i
\(593\) 422035. + 354130.i 1.20016 + 1.00705i 0.999625 + 0.0273681i \(0.00871261\pi\)
0.200535 + 0.979686i \(0.435732\pi\)
\(594\) −22111.3 8987.68i −0.0626674 0.0254727i
\(595\) 17385.3 + 3065.50i 0.0491076 + 0.00865900i
\(596\) −271229. 562090.i −0.763561 1.58239i
\(597\) −9807.76 16987.5i −0.0275183 0.0476630i
\(598\) 426024. 471152.i 1.19133 1.31752i
\(599\) −196915. 541020.i −0.548814 1.50785i −0.835313 0.549774i \(-0.814714\pi\)
0.286499 0.958080i \(-0.407508\pi\)
\(600\) −39131.3 + 17127.4i −0.108698 + 0.0475760i
\(601\) 203661. 352750.i 0.563843 0.976604i −0.433314 0.901243i \(-0.642656\pi\)
0.997156 0.0753610i \(-0.0240109\pi\)
\(602\) 417924. 134821.i 1.15320 0.372017i
\(603\) −189315. 225617.i −0.520655 0.620493i
\(604\) 54135.5 + 191834.i 0.148391 + 0.525839i
\(605\) 4496.33 + 25500.0i 0.0122842 + 0.0696673i
\(606\) 38824.8 5373.24i 0.105722 0.0146316i
\(607\) 495565.i 1.34500i −0.740096 0.672501i \(-0.765220\pi\)
0.740096 0.672501i \(-0.234780\pi\)
\(608\) 54313.5 365652.i 0.146927 0.989147i
\(609\) 42801.3 0.115404
\(610\) 929.957 + 6719.50i 0.00249921 + 0.0180583i
\(611\) −120676. + 21278.4i −0.323250 + 0.0569977i
\(612\) −366859. + 103527.i −0.979482 + 0.276409i
\(613\) −198660. + 166695.i −0.528676 + 0.443612i −0.867644 0.497186i \(-0.834367\pi\)
0.338968 + 0.940798i \(0.389922\pi\)
\(614\) 133253. + 413064.i 0.353459 + 1.09567i
\(615\) −1484.06 856.820i −0.00392374 0.00226537i
\(616\) 27231.8 + 62217.2i 0.0717655 + 0.163964i
\(617\) −280206. + 101987.i −0.736049 + 0.267900i −0.682723 0.730677i \(-0.739204\pi\)
−0.0533259 + 0.998577i \(0.516982\pi\)
\(618\) 57703.3 + 52176.4i 0.151086 + 0.136615i
\(619\) −353496. + 204091.i −0.922578 + 0.532651i −0.884457 0.466622i \(-0.845471\pi\)
−0.0381215 + 0.999273i \(0.512137\pi\)
\(620\) 30814.2 14869.0i 0.0801617 0.0386809i
\(621\) −19670.8 + 111559.i −0.0510082 + 0.289282i
\(622\) 191387. 470847.i 0.494689 1.21702i
\(623\) 6990.75 8331.26i 0.0180114 0.0214652i
\(624\) 34823.5 + 56786.7i 0.0894341 + 0.145840i
\(625\) −360549. 131229.i −0.923005 0.335946i
\(626\) 247463. + 467781.i 0.631483 + 1.19370i
\(627\) −13266.9 1828.29i −0.0337470 0.00465061i
\(628\) 272888. 400925.i 0.691934 1.01658i
\(629\) −55678.0 20265.1i −0.140729 0.0512211i
\(630\) −11602.5 14915.0i −0.0292327 0.0375788i
\(631\) −25799.0 + 30746.0i −0.0647953 + 0.0772201i −0.797468 0.603361i \(-0.793828\pi\)
0.732673 + 0.680581i \(0.238272\pi\)
\(632\) −157709. 237025.i −0.394841 0.593418i
\(633\) 9673.57 54861.5i 0.0241423 0.136918i
\(634\) −369523. 13682.2i −0.919313 0.0340390i
\(635\) 11559.9 6674.09i 0.0286685 0.0165518i
\(636\) −26173.9 6642.95i −0.0647076 0.0164228i
\(637\) 331573. 120683.i 0.817147 0.297417i
\(638\) −151687. 95228.6i −0.372655 0.233952i
\(639\) −253957. 146622.i −0.621955 0.359086i
\(640\) 31417.7 2835.21i 0.0767035 0.00692189i
\(641\) −208497. + 174950.i −0.507440 + 0.425793i −0.860227 0.509911i \(-0.829678\pi\)
0.352787 + 0.935704i \(0.385234\pi\)
\(642\) 3133.94 14593.1i 0.00760362 0.0354059i
\(643\) −271066. + 47796.3i −0.655622 + 0.115604i −0.491557 0.870846i \(-0.663572\pi\)
−0.164066 + 0.986449i \(0.552461\pi\)
\(644\) 261567. 188364.i 0.630684 0.454178i
\(645\) −7389.40 −0.0177619
\(646\) −373008. + 215644.i −0.893825 + 0.516739i
\(647\) 589628.i 1.40854i −0.709931 0.704271i \(-0.751274\pi\)
0.709931 0.704271i \(-0.248726\pi\)
\(648\) 360234. + 178520.i 0.857895 + 0.425144i
\(649\) 7696.32 + 43648.0i 0.0182723 + 0.103627i
\(650\) −126394. + 588549.i −0.299158 + 1.39301i
\(651\) 23566.4 + 28085.3i 0.0556072 + 0.0662701i
\(652\) 10367.7 10646.1i 0.0243886 0.0250435i
\(653\) −330617. + 572646.i −0.775353 + 1.34295i 0.159244 + 0.987239i \(0.449094\pi\)
−0.934596 + 0.355711i \(0.884239\pi\)
\(654\) −73596.1 46203.5i −0.172068 0.108024i
\(655\) −12587.1 34582.7i −0.0293388 0.0806078i
\(656\) −140590. 158807.i −0.326698 0.369031i
\(657\) −72110.6 124899.i −0.167058 0.289354i
\(658\) −62139.2 2300.80i −0.143520 0.00531406i
\(659\) −8296.81 1462.95i −0.0191047 0.00336867i 0.164088 0.986446i \(-0.447532\pi\)
−0.183192 + 0.983077i \(0.558643\pi\)
\(660\) −114.678 1137.07i −0.000263263 0.00261035i
\(661\) 32728.3 + 27462.3i 0.0749066 + 0.0628541i 0.679472 0.733701i \(-0.262209\pi\)
−0.604566 + 0.796555i \(0.706653\pi\)
\(662\) 118941. + 152899.i 0.271403 + 0.348890i
\(663\) 26554.7 72958.4i 0.0604107 0.165977i
\(664\) −52765.3 + 473285.i −0.119678 + 1.07346i
\(665\) −16866.0 13104.5i −0.0381390 0.0296332i
\(666\) 29657.4 + 56061.6i 0.0668629 + 0.126391i
\(667\) −290727. + 798766.i −0.653482 + 1.79543i
\(668\) 275348. 611506.i 0.617061 1.37040i
\(669\) 16297.1 + 13674.9i 0.0364132 + 0.0305543i
\(670\) 10697.2 26317.0i 0.0238298 0.0586255i
\(671\) 29955.2 + 5281.91i 0.0665315 + 0.0117313i
\(672\) 11226.7 + 31884.4i 0.0248608 + 0.0706058i
\(673\) −80756.2 139874.i −0.178298 0.308821i 0.763000 0.646399i \(-0.223726\pi\)
−0.941298 + 0.337578i \(0.890392\pi\)
\(674\) 451791. + 408518.i 0.994530 + 0.899273i
\(675\) −36716.9 100879.i −0.0805858 0.221408i
\(676\) 480462. + 35628.5i 1.05139 + 0.0779659i
\(677\) −308124. + 533687.i −0.672277 + 1.16442i 0.304980 + 0.952359i \(0.401350\pi\)
−0.977257 + 0.212059i \(0.931983\pi\)
\(678\) −16738.4 51886.7i −0.0364129 0.112875i
\(679\) −40516.0 48285.0i −0.0878793 0.104730i
\(680\) −25373.3 26608.8i −0.0548731 0.0575449i
\(681\) −778.854 4417.10i −0.00167943 0.00952451i
\(682\) −21031.7 151967.i −0.0452174 0.326723i
\(683\) 718732.i 1.54073i −0.637605 0.770363i \(-0.720075\pi\)
0.637605 0.770363i \(-0.279925\pi\)
\(684\) 450965. + 96574.8i 0.963898 + 0.206420i
\(685\) −39990.9 −0.0852276
\(686\) 469701. 65005.1i 0.998097 0.138134i
\(687\) 67279.6 11863.2i 0.142551 0.0251356i
\(688\) −867415. 289930.i −1.83253 0.612514i
\(689\) −291519. + 244614.i −0.614086 + 0.515279i
\(690\) −5162.03 + 1665.25i −0.0108423 + 0.00349770i
\(691\) 760038. + 438808.i 1.59177 + 0.919007i 0.993004 + 0.118079i \(0.0376737\pi\)
0.598762 + 0.800927i \(0.295660\pi\)
\(692\) 138704. + 10285.6i 0.289653 + 0.0214791i
\(693\) −79621.3 + 28979.8i −0.165792 + 0.0603433i
\(694\) −252875. + 279661.i −0.525033 + 0.580648i
\(695\) −40911.7 + 23620.4i −0.0846988 + 0.0489009i
\(696\) −71786.1 52850.8i −0.148191 0.109102i
\(697\) −42927.0 + 243451.i −0.0883619 + 0.501125i
\(698\) 511085. + 207743.i 1.04902 + 0.426399i
\(699\) 5965.75 7109.71i 0.0122099 0.0145511i
\(700\) −125418. + 278534.i −0.255955 + 0.568437i
\(701\) 225769. + 82173.4i 0.459440 + 0.167223i 0.561363 0.827570i \(-0.310277\pi\)
−0.101923 + 0.994792i \(0.532499\pi\)
\(702\) −147984. + 78285.6i −0.300289 + 0.158857i
\(703\) 48110.6 + 53145.0i 0.0973487 + 0.107536i
\(704\) 31152.4 137976.i 0.0628559 0.278393i
\(705\) 983.247 + 357.873i 0.00197827 + 0.000720030i
\(706\) 352070. 273877.i 0.706350 0.549473i
\(707\) 180169. 214717.i 0.360446 0.429563i
\(708\) 2213.57 + 21948.4i 0.00441598 + 0.0437861i
\(709\) 112137. 635962.i 0.223079 1.26514i −0.643246 0.765660i \(-0.722413\pi\)
0.866324 0.499482i \(-0.166476\pi\)
\(710\) 1046.57 28265.5i 0.00207612 0.0560711i
\(711\) 307602. 177594.i 0.608484 0.351309i
\(712\) −22012.3 + 5340.99i −0.0434215 + 0.0105357i
\(713\) −684208. + 249031.i −1.34589 + 0.489863i
\(714\) 20948.4 33368.1i 0.0410917 0.0654538i
\(715\) −13947.7 8052.74i −0.0272830 0.0157518i
\(716\) −560439. + 575488.i −1.09321 + 1.12256i
\(717\) −59625.5 + 50031.7i −0.115983 + 0.0973211i
\(718\) −288877. 62037.9i −0.560356 0.120340i
\(719\) 801864. 141390.i 1.55111 0.273503i 0.668538 0.743678i \(-0.266921\pi\)
0.882573 + 0.470176i \(0.155810\pi\)
\(720\) 1042.59 + 39342.0i 0.00201117 + 0.0758913i
\(721\) 556331. 1.07020
\(722\) 520904. 19890.2i 0.999272 0.0381562i
\(723\) 52173.8i 0.0998104i
\(724\) 605609. 436121.i 1.15535 0.832012i
\(725\) −139883. 793317.i −0.266127 1.50928i
\(726\) 56500.1 + 12133.7i 0.107195 + 0.0230208i
\(727\) 4522.84 + 5390.11i 0.00855740 + 0.0101983i 0.770306 0.637674i \(-0.220103\pi\)
−0.761749 + 0.647873i \(0.775659\pi\)
\(728\) 457081. + 134193.i 0.862443 + 0.253201i
\(729\) −243275. + 421364.i −0.457764 + 0.792871i
\(730\) 7396.39 11781.5i 0.0138795 0.0221083i
\(731\) 364587. + 1.00170e6i 0.682286 + 1.87457i
\(732\) 14674.1 + 3724.30i 0.0273861 + 0.00695061i
\(733\) 76340.1 + 132225.i 0.142084 + 0.246097i 0.928281 0.371879i \(-0.121286\pi\)
−0.786197 + 0.617976i \(0.787953\pi\)
\(734\) −31796.8 + 858758.i −0.0590190 + 1.59396i
\(735\) −2967.24 523.204i −0.00549259 0.000968492i
\(736\) −671291. 7059.03i −1.23924 0.0130313i
\(737\) −97579.6 81879.0i −0.179649 0.150743i
\(738\) 208859. 162472.i 0.383477 0.298309i
\(739\) −70886.3 + 194758.i −0.129800 + 0.356621i −0.987520 0.157495i \(-0.949658\pi\)
0.857720 + 0.514117i \(0.171880\pi\)
\(740\) −3442.13 + 5057.15i −0.00628584 + 0.00923512i
\(741\) −69639.2 + 63042.3i −0.126829 + 0.114814i
\(742\) −170697. + 90301.3i −0.310040 + 0.164016i
\(743\) −363477. + 998646.i −0.658415 + 1.80898i −0.0744150 + 0.997227i \(0.523709\pi\)
−0.584000 + 0.811754i \(0.698513\pi\)
\(744\) −4845.79 76204.3i −0.00875425 0.137668i
\(745\) 57532.1 + 48275.1i 0.103657 + 0.0869783i
\(746\) 323183. + 131366.i 0.580726 + 0.236050i
\(747\) −585100. 103169.i −1.04855 0.184887i
\(748\) −148481. + 71647.7i −0.265380 + 0.128056i
\(749\) −53369.0 92437.8i −0.0951318 0.164773i
\(750\) 6915.56 7648.10i 0.0122943 0.0135966i
\(751\) −83957.5 230671.i −0.148861 0.408991i 0.842741 0.538319i \(-0.180940\pi\)
−0.991602 + 0.129328i \(0.958718\pi\)
\(752\) 101378. + 80588.0i 0.179271 + 0.142507i
\(753\) 49827.1 86303.1i 0.0878771 0.152208i
\(754\) −1.19558e6 + 385689.i −2.10298 + 0.678413i
\(755\) −15418.0 18374.5i −0.0270480 0.0322346i
\(756\) −81761.6 + 23073.0i −0.143056 + 0.0403702i
\(757\) 99403.1 + 563743.i 0.173464 + 0.983761i 0.939902 + 0.341443i \(0.110916\pi\)
−0.766439 + 0.642317i \(0.777973\pi\)
\(758\) −1.11622e6 + 154481.i −1.94272 + 0.268866i
\(759\) 24321.1i 0.0422182i
\(760\) 12106.2 + 42804.9i 0.0209595 + 0.0741083i
\(761\) 574516. 0.992048 0.496024 0.868309i \(-0.334793\pi\)
0.496024 + 0.868309i \(0.334793\pi\)
\(762\) −4083.95 29509.0i −0.00703348 0.0508211i
\(763\) −611984. + 107909.i −1.05121 + 0.185357i
\(764\) −185740. 658189.i −0.318214 1.12762i
\(765\) 35138.9 29485.0i 0.0600434 0.0503824i
\(766\) 167736. + 519956.i 0.285870 + 0.886154i
\(767\) 269228. + 155439.i 0.457645 + 0.264221i
\(768\) 20541.3 67339.1i 0.0348262 0.114168i
\(769\) 576342. 209771.i 0.974603 0.354726i 0.194863 0.980830i \(-0.437574\pi\)
0.779740 + 0.626104i \(0.215351\pi\)
\(770\) −6062.00 5481.38i