Properties

Label 43.4.g.a.10.1
Level 43
Weight 4
Character 43.10
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 10.1
Character \(\chi\) \(=\) 43.10
Dual form 43.4.g.a.13.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17910 - 5.16599i) q^{2} +(2.10604 + 1.95412i) q^{3} +(-18.0894 + 8.71140i) q^{4} +(-16.7285 + 2.52142i) q^{5} +(7.61172 - 13.1839i) q^{6} +(-11.8225 - 20.4772i) q^{7} +(39.9021 + 50.0356i) q^{8} +(-1.40089 - 18.6936i) q^{9} +O(q^{10})\) \(q+(-1.17910 - 5.16599i) q^{2} +(2.10604 + 1.95412i) q^{3} +(-18.0894 + 8.71140i) q^{4} +(-16.7285 + 2.52142i) q^{5} +(7.61172 - 13.1839i) q^{6} +(-11.8225 - 20.4772i) q^{7} +(39.9021 + 50.0356i) q^{8} +(-1.40089 - 18.6936i) q^{9} +(32.7503 + 83.4464i) q^{10} +(20.8327 + 10.0325i) q^{11} +(-55.1201 - 17.0023i) q^{12} +(25.5455 - 65.0888i) q^{13} +(-91.8452 + 85.2199i) q^{14} +(-40.1581 - 27.3793i) q^{15} +(111.289 - 139.552i) q^{16} +(-25.0773 - 3.77980i) q^{17} +(-94.9191 + 29.2787i) q^{18} +(-3.27311 + 43.6766i) q^{19} +(280.644 - 191.340i) q^{20} +(15.1162 - 66.2285i) q^{21} +(27.2639 - 119.451i) q^{22} +(-65.3088 + 44.5268i) q^{23} +(-13.7402 + 183.350i) q^{24} +(154.040 - 47.5150i) q^{25} +(-366.369 - 55.2212i) q^{26} +(81.9435 - 102.754i) q^{27} +(392.248 + 267.430i) q^{28} +(-151.515 + 140.586i) q^{29} +(-94.0908 + 239.739i) q^{30} +(-107.818 - 33.2574i) q^{31} +(-390.862 - 188.229i) q^{32} +(24.2698 + 61.8386i) q^{33} +(10.0424 + 134.006i) q^{34} +(249.405 + 312.745i) q^{35} +(188.189 + 325.952i) q^{36} +(98.4071 - 170.446i) q^{37} +(229.492 - 34.5904i) q^{38} +(180.991 - 87.1607i) q^{39} +(-793.664 - 736.413i) q^{40} +(-26.6511 - 116.766i) q^{41} -359.959 q^{42} +(150.786 - 238.266i) q^{43} -464.249 q^{44} +(70.5693 + 309.184i) q^{45} +(307.030 + 284.883i) q^{46} +(141.399 - 68.0941i) q^{47} +(507.079 - 76.4299i) q^{48} +(-108.045 + 187.139i) q^{49} +(-427.090 - 739.742i) q^{50} +(-45.4277 - 56.9645i) q^{51} +(104.912 + 1399.95i) q^{52} +(-72.9957 - 185.990i) q^{53} +(-627.445 - 302.162i) q^{54} +(-373.797 - 115.301i) q^{55} +(552.847 - 1408.63i) q^{56} +(-92.2426 + 85.5886i) q^{57} +(904.917 + 616.962i) q^{58} +(348.596 - 437.126i) q^{59} +(964.949 + 145.443i) q^{60} +(-189.271 + 58.3825i) q^{61} +(-44.6790 + 596.200i) q^{62} +(-366.231 + 249.692i) q^{63} +(-193.775 + 848.985i) q^{64} +(-263.222 + 1153.25i) q^{65} +(290.841 - 198.292i) q^{66} +(15.6391 - 208.690i) q^{67} +(486.562 - 150.084i) q^{68} +(-224.553 - 33.8460i) q^{69} +(1321.56 - 1657.18i) q^{70} +(-22.8025 - 15.5465i) q^{71} +(879.447 - 816.008i) q^{72} +(-270.255 + 688.598i) q^{73} +(-996.555 - 307.396i) q^{74} +(417.264 + 200.944i) q^{75} +(-321.276 - 818.597i) q^{76} +(-40.8576 - 545.207i) q^{77} +(-663.678 - 832.226i) q^{78} +(-688.774 - 1192.99i) q^{79} +(-1509.83 + 2615.10i) q^{80} +(-127.119 + 19.1602i) q^{81} +(-571.787 + 275.358i) q^{82} +(-106.243 - 98.5794i) q^{83} +(303.499 + 1329.72i) q^{84} +429.038 q^{85} +(-1408.67 - 498.017i) q^{86} -593.819 q^{87} +(329.286 + 1442.70i) q^{88} +(1215.04 + 1127.39i) q^{89} +(1514.03 - 729.120i) q^{90} +(-1634.85 + 246.414i) q^{91} +(793.506 - 1374.39i) q^{92} +(-162.080 - 280.730i) q^{93} +(-518.498 - 650.175i) q^{94} +(-55.3728 - 738.899i) q^{95} +(-455.348 - 1160.21i) q^{96} +(1135.47 + 546.812i) q^{97} +(1094.15 + 337.502i) q^{98} +(158.359 - 403.493i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17910 5.16599i −0.416876 1.82645i −0.549762 0.835322i \(-0.685281\pi\)
0.132886 0.991131i \(-0.457576\pi\)
\(3\) 2.10604 + 1.95412i 0.405308 + 0.376070i 0.856319 0.516448i \(-0.172746\pi\)
−0.451011 + 0.892518i \(0.648936\pi\)
\(4\) −18.0894 + 8.71140i −2.26118 + 1.08892i
\(5\) −16.7285 + 2.52142i −1.49625 + 0.225523i −0.845583 0.533844i \(-0.820747\pi\)
−0.650663 + 0.759367i \(0.725509\pi\)
\(6\) 7.61172 13.1839i 0.517912 0.897050i
\(7\) −11.8225 20.4772i −0.638357 1.10567i −0.985793 0.167963i \(-0.946281\pi\)
0.347436 0.937704i \(-0.387052\pi\)
\(8\) 39.9021 + 50.0356i 1.76344 + 2.21128i
\(9\) −1.40089 18.6936i −0.0518849 0.692355i
\(10\) 32.7503 + 83.4464i 1.03566 + 2.63881i
\(11\) 20.8327 + 10.0325i 0.571028 + 0.274993i 0.697035 0.717037i \(-0.254502\pi\)
−0.126007 + 0.992029i \(0.540216\pi\)
\(12\) −55.1201 17.0023i −1.32598 0.409012i
\(13\) 25.5455 65.0888i 0.545003 1.38864i −0.347533 0.937668i \(-0.612980\pi\)
0.892536 0.450977i \(-0.148924\pi\)
\(14\) −91.8452 + 85.2199i −1.75333 + 1.62685i
\(15\) −40.1581 27.3793i −0.691252 0.471288i
\(16\) 111.289 139.552i 1.73889 2.18049i
\(17\) −25.0773 3.77980i −0.357773 0.0539257i −0.0323037 0.999478i \(-0.510284\pi\)
−0.325470 + 0.945552i \(0.605522\pi\)
\(18\) −94.9191 + 29.2787i −1.24292 + 0.383392i
\(19\) −3.27311 + 43.6766i −0.0395212 + 0.527374i 0.941949 + 0.335757i \(0.108992\pi\)
−0.981470 + 0.191617i \(0.938627\pi\)
\(20\) 280.644 191.340i 3.13770 2.13925i
\(21\) 15.1162 66.2285i 0.157078 0.688202i
\(22\) 27.2639 119.451i 0.264213 1.15759i
\(23\) −65.3088 + 44.5268i −0.592079 + 0.403673i −0.821959 0.569546i \(-0.807119\pi\)
0.229880 + 0.973219i \(0.426167\pi\)
\(24\) −13.7402 + 183.350i −0.116863 + 1.55943i
\(25\) 154.040 47.5150i 1.23232 0.380120i
\(26\) −366.369 55.2212i −2.76349 0.416529i
\(27\) 81.9435 102.754i 0.584075 0.732407i
\(28\) 392.248 + 267.430i 2.64742 + 1.80498i
\(29\) −151.515 + 140.586i −0.970197 + 0.900211i −0.995040 0.0994803i \(-0.968282\pi\)
0.0248427 + 0.999691i \(0.492092\pi\)
\(30\) −94.0908 + 239.739i −0.572618 + 1.45901i
\(31\) −107.818 33.2574i −0.624666 0.192684i −0.0337674 0.999430i \(-0.510751\pi\)
−0.590899 + 0.806746i \(0.701227\pi\)
\(32\) −390.862 188.229i −2.15923 1.03983i
\(33\) 24.2698 + 61.8386i 0.128025 + 0.326203i
\(34\) 10.0424 + 134.006i 0.0506545 + 0.675937i
\(35\) 249.405 + 312.745i 1.20449 + 1.51038i
\(36\) 188.189 + 325.952i 0.871244 + 1.50904i
\(37\) 98.4071 170.446i 0.437244 0.757329i −0.560232 0.828336i \(-0.689288\pi\)
0.997476 + 0.0710072i \(0.0226213\pi\)
\(38\) 229.492 34.5904i 0.979699 0.147666i
\(39\) 180.991 87.1607i 0.743122 0.357869i
\(40\) −793.664 736.413i −3.13723 2.91093i
\(41\) −26.6511 116.766i −0.101517 0.444775i −0.999984 0.00573298i \(-0.998175\pi\)
0.898467 0.439042i \(-0.144682\pi\)
\(42\) −359.959 −1.32245
\(43\) 150.786 238.266i 0.534758 0.845005i
\(44\) −464.249 −1.59064
\(45\) 70.5693 + 309.184i 0.233774 + 1.02423i
\(46\) 307.030 + 284.883i 0.984113 + 0.913123i
\(47\) 141.399 68.0941i 0.438833 0.211331i −0.201404 0.979508i \(-0.564550\pi\)
0.640237 + 0.768177i \(0.278836\pi\)
\(48\) 507.079 76.4299i 1.52480 0.229827i
\(49\) −108.045 + 187.139i −0.314999 + 0.545594i
\(50\) −427.090 739.742i −1.20799 2.09231i
\(51\) −45.4277 56.9645i −0.124728 0.156405i
\(52\) 104.912 + 1399.95i 0.279782 + 3.73344i
\(53\) −72.9957 185.990i −0.189184 0.482032i 0.804540 0.593899i \(-0.202412\pi\)
−0.993723 + 0.111867i \(0.964317\pi\)
\(54\) −627.445 302.162i −1.58119 0.761463i
\(55\) −373.797 115.301i −0.916415 0.282677i
\(56\) 552.847 1408.63i 1.31924 3.36136i
\(57\) −92.2426 + 85.5886i −0.214348 + 0.198886i
\(58\) 904.917 + 616.962i 2.04864 + 1.39674i
\(59\) 348.596 437.126i 0.769209 0.964558i −0.230755 0.973012i \(-0.574120\pi\)
0.999964 + 0.00845390i \(0.00269099\pi\)
\(60\) 964.949 + 145.443i 2.07624 + 0.312943i
\(61\) −189.271 + 58.3825i −0.397274 + 0.122543i −0.486953 0.873428i \(-0.661892\pi\)
0.0896797 + 0.995971i \(0.471416\pi\)
\(62\) −44.6790 + 596.200i −0.0915199 + 1.22125i
\(63\) −366.231 + 249.692i −0.732393 + 0.499337i
\(64\) −193.775 + 848.985i −0.378467 + 1.65817i
\(65\) −263.222 + 1153.25i −0.502287 + 2.20066i
\(66\) 290.841 198.292i 0.542424 0.369819i
\(67\) 15.6391 208.690i 0.0285168 0.380530i −0.964626 0.263622i \(-0.915083\pi\)
0.993143 0.116908i \(-0.0372982\pi\)
\(68\) 486.562 150.084i 0.867710 0.267653i
\(69\) −224.553 33.8460i −0.391783 0.0590519i
\(70\) 1321.56 1657.18i 2.25652 2.82959i
\(71\) −22.8025 15.5465i −0.0381149 0.0259863i 0.544113 0.839012i \(-0.316866\pi\)
−0.582228 + 0.813026i \(0.697819\pi\)
\(72\) 879.447 816.008i 1.43950 1.33566i
\(73\) −270.255 + 688.598i −0.433300 + 1.10403i 0.532886 + 0.846187i \(0.321107\pi\)
−0.966187 + 0.257844i \(0.916988\pi\)
\(74\) −996.555 307.396i −1.56550 0.482893i
\(75\) 417.264 + 200.944i 0.642420 + 0.309373i
\(76\) −321.276 818.597i −0.484906 1.23552i
\(77\) −40.8576 545.207i −0.0604695 0.806910i
\(78\) −663.678 832.226i −0.963420 1.20809i
\(79\) −688.774 1192.99i −0.980926 1.69901i −0.658801 0.752317i \(-0.728936\pi\)
−0.322126 0.946697i \(-0.604397\pi\)
\(80\) −1509.83 + 2615.10i −2.11005 + 3.65471i
\(81\) −127.119 + 19.1602i −0.174375 + 0.0262828i
\(82\) −571.787 + 275.358i −0.770040 + 0.370832i
\(83\) −106.243 98.5794i −0.140503 0.130367i 0.606791 0.794862i \(-0.292457\pi\)
−0.747293 + 0.664494i \(0.768647\pi\)
\(84\) 303.499 + 1329.72i 0.394220 + 1.72719i
\(85\) 429.038 0.547478
\(86\) −1408.67 498.017i −1.76629 0.624449i
\(87\) −593.819 −0.731771
\(88\) 329.286 + 1442.70i 0.398887 + 1.74764i
\(89\) 1215.04 + 1127.39i 1.44712 + 1.34273i 0.832663 + 0.553780i \(0.186815\pi\)
0.614457 + 0.788951i \(0.289375\pi\)
\(90\) 1514.03 729.120i 1.77326 0.853956i
\(91\) −1634.85 + 246.414i −1.88328 + 0.283859i
\(92\) 793.506 1374.39i 0.899226 1.55750i
\(93\) −162.080 280.730i −0.180719 0.313015i
\(94\) −518.498 650.175i −0.568925 0.713409i
\(95\) −55.3728 738.899i −0.0598014 0.797994i
\(96\) −455.348 1160.21i −0.484102 1.23347i
\(97\) 1135.47 + 546.812i 1.18855 + 0.572375i 0.920391 0.391000i \(-0.127871\pi\)
0.268158 + 0.963375i \(0.413585\pi\)
\(98\) 1094.15 + 337.502i 1.12782 + 0.347886i
\(99\) 158.359 403.493i 0.160765 0.409622i
\(100\) −2372.57 + 2201.42i −2.37257 + 2.20142i
\(101\) 40.4393 + 27.5711i 0.0398402 + 0.0271626i 0.583076 0.812417i \(-0.301849\pi\)
−0.543236 + 0.839580i \(0.682801\pi\)
\(102\) −240.714 + 301.846i −0.233669 + 0.293012i
\(103\) 1027.45 + 154.863i 0.982891 + 0.148147i 0.620777 0.783987i \(-0.286817\pi\)
0.362113 + 0.932134i \(0.382055\pi\)
\(104\) 4276.07 1318.99i 4.03177 1.24363i
\(105\) −85.8824 + 1146.02i −0.0798215 + 1.06514i
\(106\) −874.753 + 596.397i −0.801543 + 0.546483i
\(107\) −81.3301 + 356.330i −0.0734811 + 0.321942i −0.998288 0.0584960i \(-0.981370\pi\)
0.924807 + 0.380438i \(0.124227\pi\)
\(108\) −587.179 + 2572.60i −0.523160 + 2.29212i
\(109\) 847.411 577.755i 0.744654 0.507697i −0.130555 0.991441i \(-0.541676\pi\)
0.875209 + 0.483744i \(0.160724\pi\)
\(110\) −154.899 + 2066.99i −0.134264 + 1.79163i
\(111\) 540.321 166.667i 0.462027 0.142517i
\(112\) −4173.35 629.031i −3.52093 0.530695i
\(113\) −960.406 + 1204.31i −0.799534 + 1.00258i 0.200205 + 0.979754i \(0.435839\pi\)
−0.999739 + 0.0228303i \(0.992732\pi\)
\(114\) 550.914 + 375.606i 0.452612 + 0.308586i
\(115\) 980.249 909.538i 0.794858 0.737521i
\(116\) 1516.13 3863.02i 1.21352 3.09201i
\(117\) −1252.53 386.354i −0.989713 0.305286i
\(118\) −2669.22 1285.43i −2.08238 1.00282i
\(119\) 219.078 + 558.201i 0.168763 + 0.430002i
\(120\) −232.450 3101.83i −0.176831 2.35964i
\(121\) −496.513 622.608i −0.373038 0.467775i
\(122\) 524.773 + 908.934i 0.389432 + 0.674517i
\(123\) 172.046 297.993i 0.126121 0.218448i
\(124\) 2240.08 337.638i 1.62230 0.244522i
\(125\) −551.787 + 265.727i −0.394827 + 0.190139i
\(126\) 1721.73 + 1597.53i 1.21733 + 1.12952i
\(127\) −36.3910 159.439i −0.0254266 0.111401i 0.960622 0.277858i \(-0.0896245\pi\)
−0.986049 + 0.166457i \(0.946767\pi\)
\(128\) 1143.74 0.789789
\(129\) 783.161 207.144i 0.534523 0.141380i
\(130\) 6268.05 4.22880
\(131\) −209.550 918.096i −0.139759 0.612324i −0.995487 0.0948982i \(-0.969747\pi\)
0.855728 0.517426i \(-0.173110\pi\)
\(132\) −977.727 907.198i −0.644699 0.598193i
\(133\) 933.072 449.344i 0.608328 0.292955i
\(134\) −1096.53 + 165.275i −0.706908 + 0.106549i
\(135\) −1111.71 + 1925.54i −0.708746 + 1.22758i
\(136\) −811.513 1405.58i −0.511667 0.886233i
\(137\) −579.541 726.722i −0.361413 0.453197i 0.567567 0.823327i \(-0.307885\pi\)
−0.928980 + 0.370130i \(0.879313\pi\)
\(138\) 89.9237 + 1199.95i 0.0554697 + 0.740191i
\(139\) 737.265 + 1878.52i 0.449885 + 1.14629i 0.958449 + 0.285264i \(0.0920812\pi\)
−0.508564 + 0.861024i \(0.669824\pi\)
\(140\) −7236.04 3484.69i −4.36826 2.10364i
\(141\) 430.856 + 132.901i 0.257338 + 0.0793782i
\(142\) −53.4265 + 136.128i −0.0315736 + 0.0804482i
\(143\) 1185.19 1099.69i 0.693079 0.643083i
\(144\) −2764.63 1884.89i −1.59990 1.09079i
\(145\) 2180.16 2733.83i 1.24863 1.56574i
\(146\) 3875.95 + 584.205i 2.19709 + 0.331159i
\(147\) −593.238 + 182.990i −0.332854 + 0.102672i
\(148\) −295.302 + 3940.53i −0.164011 + 2.18858i
\(149\) −1890.48 + 1288.91i −1.03942 + 0.708667i −0.957636 0.287983i \(-0.907015\pi\)
−0.0817877 + 0.996650i \(0.526063\pi\)
\(150\) 546.075 2392.51i 0.297246 1.30232i
\(151\) −107.446 + 470.750i −0.0579059 + 0.253702i −0.995593 0.0937781i \(-0.970106\pi\)
0.937687 + 0.347481i \(0.112963\pi\)
\(152\) −2315.99 + 1579.02i −1.23587 + 0.842599i
\(153\) −35.5274 + 474.081i −0.0187727 + 0.250504i
\(154\) −2768.36 + 853.925i −1.44857 + 0.446826i
\(155\) 1887.49 + 284.493i 0.978109 + 0.147426i
\(156\) −2514.73 + 3153.37i −1.29064 + 1.61841i
\(157\) 1437.64 + 980.164i 0.730802 + 0.498252i 0.870639 0.491922i \(-0.163706\pi\)
−0.139837 + 0.990174i \(0.544658\pi\)
\(158\) −5350.85 + 4964.86i −2.69425 + 2.49989i
\(159\) 209.715 534.345i 0.104600 0.266518i
\(160\) 7013.15 + 2163.27i 3.46524 + 1.06888i
\(161\) 1683.90 + 810.923i 0.824285 + 0.396955i
\(162\) 248.868 + 634.106i 0.120697 + 0.307531i
\(163\) −191.242 2551.95i −0.0918972 1.22628i −0.832379 0.554207i \(-0.813022\pi\)
0.740482 0.672077i \(-0.234597\pi\)
\(164\) 1499.30 + 1880.06i 0.713874 + 0.895170i
\(165\) −561.920 973.274i −0.265124 0.459208i
\(166\) −383.988 + 665.087i −0.179538 + 0.310969i
\(167\) 714.212 107.650i 0.330942 0.0498815i 0.0185304 0.999828i \(-0.494101\pi\)
0.312412 + 0.949947i \(0.398863\pi\)
\(168\) 3916.95 1886.31i 1.79881 0.866260i
\(169\) −1973.46 1831.11i −0.898254 0.833458i
\(170\) −505.880 2216.40i −0.228231 0.999944i
\(171\) 821.058 0.367181
\(172\) −651.995 + 5623.64i −0.289036 + 2.49302i
\(173\) −3454.32 −1.51808 −0.759038 0.651046i \(-0.774330\pi\)
−0.759038 + 0.651046i \(0.774330\pi\)
\(174\) 700.174 + 3067.66i 0.305058 + 1.33655i
\(175\) −2794.11 2592.56i −1.20694 1.11988i
\(176\) 3718.50 1790.74i 1.59257 0.766943i
\(177\) 1588.35 239.406i 0.674508 0.101666i
\(178\) 4391.43 7606.18i 1.84917 3.20285i
\(179\) −1406.04 2435.33i −0.587108 1.01690i −0.994609 0.103696i \(-0.966933\pi\)
0.407501 0.913205i \(-0.366400\pi\)
\(180\) −3969.98 4978.20i −1.64392 2.06141i
\(181\) 33.1558 + 442.434i 0.0136158 + 0.181690i 0.999865 + 0.0164256i \(0.00522866\pi\)
−0.986249 + 0.165264i \(0.947152\pi\)
\(182\) 3200.63 + 8155.07i 1.30355 + 3.32140i
\(183\) −512.699 246.903i −0.207103 0.0997354i
\(184\) −4833.88 1491.05i −1.93673 0.597402i
\(185\) −1216.44 + 3099.44i −0.483429 + 1.23176i
\(186\) −1259.14 + 1168.31i −0.496369 + 0.460563i
\(187\) −484.509 330.333i −0.189470 0.129178i
\(188\) −1964.63 + 2463.57i −0.762155 + 0.955712i
\(189\) −3072.90 463.164i −1.18265 0.178255i
\(190\) −3751.85 + 1157.29i −1.43257 + 0.441889i
\(191\) 322.205 4299.53i 0.122063 1.62881i −0.514432 0.857531i \(-0.671997\pi\)
0.636495 0.771281i \(-0.280384\pi\)
\(192\) −2067.12 + 1409.34i −0.776986 + 0.529740i
\(193\) −198.757 + 870.812i −0.0741288 + 0.324780i −0.998373 0.0570226i \(-0.981839\pi\)
0.924244 + 0.381802i \(0.124696\pi\)
\(194\) 1485.99 6510.56i 0.549938 2.40944i
\(195\) −2807.95 + 1914.43i −1.03119 + 0.703050i
\(196\) 324.223 4326.45i 0.118157 1.57670i
\(197\) 3387.84 1045.01i 1.22525 0.377938i 0.386412 0.922326i \(-0.373714\pi\)
0.838833 + 0.544388i \(0.183238\pi\)
\(198\) −2271.16 342.323i −0.815175 0.122868i
\(199\) 1162.03 1457.13i 0.413939 0.519063i −0.530529 0.847667i \(-0.678007\pi\)
0.944468 + 0.328604i \(0.106578\pi\)
\(200\) 8523.94 + 5811.53i 3.01367 + 2.05469i
\(201\) 440.742 408.948i 0.154664 0.143507i
\(202\) 94.7497 241.418i 0.0330028 0.0840898i
\(203\) 4670.10 + 1440.54i 1.61467 + 0.498058i
\(204\) 1318.00 + 634.716i 0.452346 + 0.217838i
\(205\) 740.249 + 1886.12i 0.252201 + 0.642598i
\(206\) −411.448 5490.40i −0.139160 1.85696i
\(207\) 923.856 + 1158.48i 0.310205 + 0.388985i
\(208\) −6240.32 10808.6i −2.08023 3.60307i
\(209\) −506.374 + 877.066i −0.167592 + 0.290277i
\(210\) 6021.59 907.609i 1.97871 0.298243i
\(211\) −2547.77 + 1226.94i −0.831259 + 0.400313i −0.800587 0.599216i \(-0.795479\pi\)
−0.0306717 + 0.999530i \(0.509765\pi\)
\(212\) 2940.68 + 2728.56i 0.952674 + 0.883953i
\(213\) −17.6433 77.3004i −0.00567559 0.0248664i
\(214\) 1936.70 0.618644
\(215\) −1921.66 + 4366.03i −0.609562 + 1.38494i
\(216\) 8411.07 2.64954
\(217\) 593.661 + 2601.00i 0.185716 + 0.813674i
\(218\) −3983.86 3696.48i −1.23771 1.14843i
\(219\) −1914.77 + 922.104i −0.590813 + 0.284521i
\(220\) 7766.21 1170.57i 2.37999 0.358726i
\(221\) −886.635 + 1535.70i −0.269871 + 0.467431i
\(222\) −1498.09 2594.78i −0.452908 0.784459i
\(223\) 1768.81 + 2218.02i 0.531158 + 0.666051i 0.972936 0.231073i \(-0.0742236\pi\)
−0.441778 + 0.897124i \(0.645652\pi\)
\(224\) 766.566 + 10229.1i 0.228653 + 3.05117i
\(225\) −1104.02 2812.99i −0.327117 0.833479i
\(226\) 7353.87 + 3541.44i 2.16448 + 1.04236i
\(227\) 3161.57 + 975.217i 0.924410 + 0.285143i 0.720186 0.693781i \(-0.244057\pi\)
0.204224 + 0.978924i \(0.434533\pi\)
\(228\) 923.017 2351.81i 0.268107 0.683125i
\(229\) 485.750 450.710i 0.140172 0.130060i −0.606971 0.794724i \(-0.707616\pi\)
0.747143 + 0.664664i \(0.231425\pi\)
\(230\) −5854.48 3991.52i −1.67840 1.14432i
\(231\) 979.351 1228.07i 0.278946 0.349788i
\(232\) −13080.1 1971.50i −3.70150 0.557912i
\(233\) −297.972 + 91.9123i −0.0837803 + 0.0258428i −0.336362 0.941733i \(-0.609197\pi\)
0.252582 + 0.967576i \(0.418720\pi\)
\(234\) −519.040 + 6926.11i −0.145003 + 1.93493i
\(235\) −2193.70 + 1495.64i −0.608942 + 0.415170i
\(236\) −2497.92 + 10944.1i −0.688986 + 3.01865i
\(237\) 880.663 3858.44i 0.241372 1.05752i
\(238\) 2625.35 1789.93i 0.715025 0.487496i
\(239\) −48.3444 + 645.111i −0.0130843 + 0.174597i 0.986833 + 0.161742i \(0.0517112\pi\)
−0.999917 + 0.0128554i \(0.995908\pi\)
\(240\) −8289.98 + 2557.12i −2.22965 + 0.687756i
\(241\) −585.496 88.2494i −0.156494 0.0235877i 0.0703277 0.997524i \(-0.477595\pi\)
−0.226822 + 0.973936i \(0.572834\pi\)
\(242\) −2630.95 + 3299.10i −0.698858 + 0.876340i
\(243\) −3237.10 2207.01i −0.854567 0.582634i
\(244\) 2915.21 2704.92i 0.764866 0.709692i
\(245\) 1335.57 3402.99i 0.348272 0.887383i
\(246\) −1742.29 537.425i −0.451562 0.139288i
\(247\) 2759.24 + 1328.78i 0.710796 + 0.342301i
\(248\) −2638.10 6721.77i −0.675482 1.72110i
\(249\) −31.1168 415.224i −0.00791946 0.105678i
\(250\) 2023.36 + 2537.21i 0.511873 + 0.641868i
\(251\) 1349.89 + 2338.08i 0.339459 + 0.587960i 0.984331 0.176330i \(-0.0564227\pi\)
−0.644872 + 0.764291i \(0.723089\pi\)
\(252\) 4449.73 7707.16i 1.11233 1.92661i
\(253\) −1807.28 + 272.403i −0.449101 + 0.0676910i
\(254\) −780.753 + 375.991i −0.192869 + 0.0928810i
\(255\) 903.571 + 838.391i 0.221897 + 0.205891i
\(256\) 201.619 + 883.350i 0.0492233 + 0.215662i
\(257\) 3379.07 0.820158 0.410079 0.912050i \(-0.365501\pi\)
0.410079 + 0.912050i \(0.365501\pi\)
\(258\) −1993.53 3801.56i −0.481054 0.917343i
\(259\) −4653.68 −1.11647
\(260\) −5284.90 23154.7i −1.26060 5.52304i
\(261\) 2840.31 + 2635.42i 0.673604 + 0.625014i
\(262\) −4495.80 + 2165.06i −1.06012 + 0.510526i
\(263\) 2585.68 389.728i 0.606235 0.0913752i 0.161250 0.986914i \(-0.448447\pi\)
0.444984 + 0.895538i \(0.353209\pi\)
\(264\) −2125.71 + 3681.84i −0.495563 + 0.858340i
\(265\) 1690.07 + 2927.29i 0.391774 + 0.678573i
\(266\) −3421.50 4290.42i −0.788667 0.988957i
\(267\) 355.862 + 4748.65i 0.0815671 + 1.08844i
\(268\) 1535.08 + 3911.31i 0.349887 + 0.891498i
\(269\) −671.049 323.160i −0.152099 0.0732470i 0.356286 0.934377i \(-0.384043\pi\)
−0.508385 + 0.861130i \(0.669757\pi\)
\(270\) 11258.1 + 3472.67i 2.53758 + 0.782741i
\(271\) −1372.26 + 3496.47i −0.307598 + 0.783747i 0.690571 + 0.723265i \(0.257359\pi\)
−0.998169 + 0.0604828i \(0.980736\pi\)
\(272\) −3318.30 + 3078.94i −0.739712 + 0.686352i
\(273\) −3924.58 2675.74i −0.870061 0.593197i
\(274\) −3070.90 + 3850.78i −0.677079 + 0.849031i
\(275\) 3685.76 + 555.540i 0.808218 + 0.121819i
\(276\) 4356.88 1343.92i 0.950194 0.293096i
\(277\) 276.356 3687.71i 0.0599445 0.799903i −0.883512 0.468408i \(-0.844828\pi\)
0.943457 0.331495i \(-0.107553\pi\)
\(278\) 8835.10 6023.67i 1.90609 1.29955i
\(279\) −470.659 + 2062.09i −0.100995 + 0.442488i
\(280\) −5696.57 + 24958.3i −1.21584 + 5.32694i
\(281\) 2440.57 1663.95i 0.518121 0.353249i −0.275854 0.961200i \(-0.588961\pi\)
0.793975 + 0.607951i \(0.208008\pi\)
\(282\) 178.544 2382.50i 0.0377026 0.503106i
\(283\) 3485.38 1075.10i 0.732101 0.225823i 0.0937791 0.995593i \(-0.470105\pi\)
0.638321 + 0.769770i \(0.279629\pi\)
\(284\) 547.916 + 82.5850i 0.114482 + 0.0172553i
\(285\) 1327.28 1664.35i 0.275864 0.345922i
\(286\) −7078.46 4826.01i −1.46349 0.997790i
\(287\) −2075.96 + 1926.21i −0.426969 + 0.396169i
\(288\) −2971.12 + 7570.30i −0.607900 + 1.54890i
\(289\) −4080.14 1258.56i −0.830479 0.256169i
\(290\) −16693.6 8039.19i −3.38027 1.62785i
\(291\) 1322.80 + 3370.45i 0.266475 + 0.678966i
\(292\) −1109.90 14810.6i −0.222439 2.96824i
\(293\) 125.319 + 157.144i 0.0249870 + 0.0313327i 0.794168 0.607698i \(-0.207907\pi\)
−0.769181 + 0.639031i \(0.779336\pi\)
\(294\) 1644.81 + 2848.90i 0.326284 + 0.565140i
\(295\) −4729.32 + 8191.43i −0.933396 + 1.61669i
\(296\) 12455.0 1877.29i 2.44572 0.368633i
\(297\) 2737.99 1318.55i 0.534930 0.257609i
\(298\) 8887.55 + 8246.44i 1.72766 + 1.60303i
\(299\) 1229.85 + 5388.32i 0.237873 + 1.04219i
\(300\) −9298.55 −1.78951
\(301\) −6661.70 270.767i −1.27566 0.0518497i
\(302\) 2558.58 0.487515
\(303\) 31.2897 + 137.089i 0.00593250 + 0.0259920i
\(304\) 5730.88 + 5317.48i 1.08121 + 1.00322i
\(305\) 3019.02 1453.89i 0.566783 0.272948i
\(306\) 2490.99 375.456i 0.465360 0.0701418i
\(307\) 1343.58 2327.15i 0.249779 0.432629i −0.713686 0.700466i \(-0.752975\pi\)
0.963464 + 0.267837i \(0.0863088\pi\)
\(308\) 5488.60 + 9506.54i 1.01540 + 1.75872i
\(309\) 1861.23 + 2333.91i 0.342659 + 0.429681i
\(310\) −755.856 10086.2i −0.138483 1.84793i
\(311\) −3075.16 7835.39i −0.560696 1.42863i −0.877240 0.480053i \(-0.840618\pi\)
0.316543 0.948578i \(-0.397478\pi\)
\(312\) 11583.1 + 5578.11i 2.10180 + 1.01217i
\(313\) −9627.99 2969.84i −1.73868 0.536311i −0.746974 0.664853i \(-0.768494\pi\)
−0.991704 + 0.128542i \(0.958970\pi\)
\(314\) 3368.39 8582.53i 0.605380 1.54248i
\(315\) 5496.93 5100.40i 0.983228 0.912302i
\(316\) 22852.2 + 15580.3i 4.06815 + 2.77361i
\(317\) 361.493 453.298i 0.0640488 0.0803146i −0.748775 0.662824i \(-0.769358\pi\)
0.812824 + 0.582510i \(0.197929\pi\)
\(318\) −3007.70 453.337i −0.530387 0.0799430i
\(319\) −4566.91 + 1408.71i −0.801561 + 0.247249i
\(320\) 1100.93 14690.9i 0.192324 2.56639i
\(321\) −867.597 + 591.517i −0.150855 + 0.102851i
\(322\) 2203.73 9655.17i 0.381395 1.67100i
\(323\) 247.170 1082.92i 0.0425786 0.186549i
\(324\) 2132.60 1453.98i 0.365673 0.249311i
\(325\) 842.325 11240.0i 0.143766 1.91842i
\(326\) −12957.9 + 3996.97i −2.20144 + 0.679054i
\(327\) 2913.69 + 439.167i 0.492744 + 0.0742692i
\(328\) 4779.02 5992.70i 0.804504 1.00882i
\(329\) −3066.07 2090.41i −0.513794 0.350299i
\(330\) −4365.36 + 4050.46i −0.728198 + 0.675669i
\(331\) 1382.38 3522.25i 0.229555 0.584896i −0.768965 0.639291i \(-0.779228\pi\)
0.998519 + 0.0543954i \(0.0173232\pi\)
\(332\) 2780.64 + 857.715i 0.459662 + 0.141787i
\(333\) −3324.11 1600.81i −0.547027 0.263434i
\(334\) −1398.25 3562.68i −0.229068 0.583656i
\(335\) 264.575 + 3530.51i 0.0431501 + 0.575798i
\(336\) −7560.03 9479.98i −1.22748 1.53921i
\(337\) 4102.46 + 7105.67i 0.663131 + 1.14858i 0.979788 + 0.200037i \(0.0641062\pi\)
−0.316657 + 0.948540i \(0.602560\pi\)
\(338\) −7132.56 + 12354.0i −1.14781 + 1.98807i
\(339\) −4376.02 + 659.579i −0.701100 + 0.105674i
\(340\) −7761.04 + 3737.52i −1.23795 + 0.596163i
\(341\) −1912.49 1774.53i −0.303715 0.281807i
\(342\) −968.112 4241.58i −0.153069 0.670638i
\(343\) −3000.81 −0.472386
\(344\) 17938.4 1962.65i 2.81156 0.307613i
\(345\) 3841.79 0.599522
\(346\) 4073.00 + 17845.0i 0.632849 + 2.77269i
\(347\) −4622.19 4288.76i −0.715078 0.663495i 0.236244 0.971694i \(-0.424083\pi\)
−0.951322 + 0.308198i \(0.900274\pi\)
\(348\) 10741.8 5172.99i 1.65466 0.796844i
\(349\) −663.759 + 100.046i −0.101806 + 0.0153447i −0.199748 0.979847i \(-0.564012\pi\)
0.0979418 + 0.995192i \(0.468774\pi\)
\(350\) −10098.6 + 17491.3i −1.54226 + 2.67128i
\(351\) −4594.84 7958.50i −0.698731 1.21024i
\(352\) −6254.31 7842.66i −0.947034 1.18754i
\(353\) −226.362 3020.59i −0.0341304 0.455439i −0.987920 0.154964i \(-0.950474\pi\)
0.953790 0.300475i \(-0.0971452\pi\)
\(354\) −3109.60 7923.13i −0.466874 1.18958i
\(355\) 420.652 + 202.575i 0.0628898 + 0.0302861i
\(356\) −31800.4 9809.13i −4.73432 1.46035i
\(357\) −629.405 + 1603.70i −0.0933100 + 0.237750i
\(358\) −10923.0 + 10135.1i −1.61257 + 1.49625i
\(359\) 5397.16 + 3679.72i 0.793458 + 0.540970i 0.890862 0.454275i \(-0.150101\pi\)
−0.0974039 + 0.995245i \(0.531054\pi\)
\(360\) −12654.4 + 15868.1i −1.85262 + 2.32311i
\(361\) 4885.46 + 736.364i 0.712270 + 0.107357i
\(362\) 2246.52 692.958i 0.326172 0.100611i
\(363\) 170.974 2281.48i 0.0247212 0.329881i
\(364\) 27426.9 18699.3i 3.94934 2.69261i
\(365\) 2784.72 12200.7i 0.399340 1.74962i
\(366\) −670.972 + 2939.72i −0.0958259 + 0.419841i
\(367\) 2591.64 1766.95i 0.368618 0.251319i −0.364817 0.931079i \(-0.618868\pi\)
0.733435 + 0.679760i \(0.237916\pi\)
\(368\) −1054.35 + 14069.3i −0.149352 + 1.99297i
\(369\) −2145.44 + 661.780i −0.302675 + 0.0933629i
\(370\) 17446.0 + 2629.56i 2.45128 + 0.369471i
\(371\) −2945.57 + 3693.63i −0.412200 + 0.516883i
\(372\) 5377.48 + 3666.30i 0.749487 + 0.510992i
\(373\) 10090.7 9362.77i 1.40074 1.29969i 0.499537 0.866293i \(-0.333504\pi\)
0.901201 0.433402i \(-0.142687\pi\)
\(374\) −1135.21 + 2892.46i −0.156952 + 0.399908i
\(375\) −1681.35 518.627i −0.231532 0.0714181i
\(376\) 9049.24 + 4357.89i 1.24117 + 0.597715i
\(377\) 5280.02 + 13453.3i 0.721313 + 1.83788i
\(378\) 1230.56 + 16420.7i 0.167442 + 2.23436i
\(379\) −7741.64 9707.71i −1.04924 1.31570i −0.947102 0.320932i \(-0.896004\pi\)
−0.102136 0.994770i \(-0.532568\pi\)
\(380\) 7438.50 + 12883.9i 1.00418 + 1.73928i
\(381\) 234.923 406.898i 0.0315891 0.0547140i
\(382\) −22591.2 + 3405.08i −3.02583 + 0.456071i
\(383\) 2298.33 1106.82i 0.306630 0.147665i −0.274241 0.961661i \(-0.588426\pi\)
0.580871 + 0.813996i \(0.302712\pi\)
\(384\) 2408.75 + 2235.00i 0.320107 + 0.297016i
\(385\) 2058.18 + 9017.49i 0.272454 + 1.19370i
\(386\) 4732.96 0.624097
\(387\) −4665.28 2484.94i −0.612790 0.326400i
\(388\) −25303.4 −3.31079
\(389\) −1588.51 6959.70i −0.207045 0.907123i −0.966521 0.256588i \(-0.917402\pi\)
0.759476 0.650535i \(-0.225455\pi\)
\(390\) 13200.8 + 12248.5i 1.71397 + 1.59033i
\(391\) 1806.07 869.759i 0.233598 0.112495i
\(392\) −13674.8 + 2061.15i −1.76195 + 0.265571i
\(393\) 1352.75 2343.03i 0.173632 0.300739i
\(394\) −9393.11 16269.3i −1.20106 2.08030i
\(395\) 14530.2 + 18220.3i 1.85087 + 2.32092i
\(396\) 650.363 + 8678.49i 0.0825302 + 1.10129i
\(397\) 3692.64 + 9408.68i 0.466821 + 1.18944i 0.949534 + 0.313663i \(0.101556\pi\)
−0.482713 + 0.875779i \(0.660349\pi\)
\(398\) −8897.69 4284.90i −1.12061 0.539655i
\(399\) 2843.16 + 876.999i 0.356732 + 0.110037i
\(400\) 10512.1 26784.4i 1.31401 3.34805i
\(401\) 9846.87 9136.56i 1.22626 1.13780i 0.240319 0.970694i \(-0.422748\pi\)
0.985939 0.167107i \(-0.0534426\pi\)
\(402\) −2632.30 1794.67i −0.326585 0.222662i
\(403\) −4918.94 + 6168.16i −0.608015 + 0.762426i
\(404\) −971.706 146.461i −0.119664 0.0180364i
\(405\) 2078.21 641.043i 0.254981 0.0786511i
\(406\) 1935.26 25824.2i 0.236565 3.15674i
\(407\) 3760.09 2563.59i 0.457938 0.312217i
\(408\) 1037.60 4546.01i 0.125904 0.551620i
\(409\) −1980.70 + 8677.99i −0.239460 + 1.04914i 0.702042 + 0.712135i \(0.252272\pi\)
−0.941502 + 0.337007i \(0.890585\pi\)
\(410\) 8870.86 6048.05i 1.06854 0.728517i
\(411\) 199.564 2663.00i 0.0239508 0.319601i
\(412\) −19935.0 + 6149.15i −2.38381 + 0.735308i
\(413\) −13072.4 1970.35i −1.55751 0.234757i
\(414\) 4895.36 6138.59i 0.581145 0.728733i
\(415\) 2025.86 + 1381.21i 0.239627 + 0.163375i
\(416\) −22236.4 + 20632.3i −2.62074 + 2.43169i
\(417\) −2118.14 + 5396.94i −0.248743 + 0.633788i
\(418\) 5127.98 + 1581.77i 0.600042 + 0.185089i
\(419\) −8596.09 4139.66i −1.00226 0.482662i −0.140554 0.990073i \(-0.544888\pi\)
−0.861704 + 0.507411i \(0.830603\pi\)
\(420\) −8429.88 21479.0i −0.979372 2.49540i
\(421\) 1080.99 + 14424.8i 0.125140 + 1.66988i 0.607812 + 0.794081i \(0.292047\pi\)
−0.482672 + 0.875801i \(0.660334\pi\)
\(422\) 9342.44 + 11715.1i 1.07768 + 1.35137i
\(423\) −1471.01 2547.86i −0.169085 0.292864i
\(424\) 6393.45 11073.8i 0.732295 1.26837i
\(425\) −4042.50 + 609.309i −0.461389 + 0.0695432i
\(426\) −378.530 + 182.290i −0.0430512 + 0.0207324i
\(427\) 3433.18 + 3185.52i 0.389094 + 0.361026i
\(428\) −1632.92 7154.30i −0.184417 0.807982i
\(429\) 4644.98 0.522755
\(430\) 24820.7 + 4779.25i 2.78363 + 0.535990i
\(431\) −8584.83 −0.959436 −0.479718 0.877423i \(-0.659261\pi\)
−0.479718 + 0.877423i \(0.659261\pi\)
\(432\) −5220.09 22870.7i −0.581369 2.54715i
\(433\) 11065.0 + 10266.8i 1.22806 + 1.13948i 0.985560 + 0.169325i \(0.0541587\pi\)
0.242502 + 0.970151i \(0.422032\pi\)
\(434\) 12736.7 6133.69i 1.40872 0.678402i
\(435\) 9933.72 1497.27i 1.09491 0.165031i
\(436\) −10296.1 + 17833.4i −1.13095 + 1.95886i
\(437\) −1731.01 2998.21i −0.189487 0.328201i
\(438\) 7021.29 + 8804.42i 0.765960 + 0.960483i
\(439\) 319.526 + 4263.77i 0.0347383 + 0.463551i 0.987264 + 0.159092i \(0.0508566\pi\)
−0.952525 + 0.304459i \(0.901524\pi\)
\(440\) −9146.12 23303.9i −0.990964 2.52494i
\(441\) 3649.66 + 1757.58i 0.394089 + 0.189783i
\(442\) 8978.83 + 2769.60i 0.966243 + 0.298046i
\(443\) 2196.29 5596.05i 0.235550 0.600172i −0.763403 0.645923i \(-0.776473\pi\)
0.998953 + 0.0457509i \(0.0145680\pi\)
\(444\) −8322.19 + 7721.86i −0.889535 + 0.825368i
\(445\) −23168.4 15796.0i −2.46806 1.68270i
\(446\) 9372.65 11752.9i 0.995084 1.24780i
\(447\) −6500.10 979.733i −0.687795 0.103668i
\(448\) 19675.8 6069.17i 2.07498 0.640048i
\(449\) −1089.91 + 14543.8i −0.114557 + 1.52865i 0.583206 + 0.812324i \(0.301798\pi\)
−0.697763 + 0.716329i \(0.745821\pi\)
\(450\) −13230.1 + 9020.15i −1.38594 + 0.944920i
\(451\) 616.242 2699.93i 0.0643408 0.281895i
\(452\) 6881.94 30151.7i 0.716149 3.13765i
\(453\) −1146.19 + 781.456i −0.118880 + 0.0810508i
\(454\) 1310.14 17482.5i 0.135435 1.80726i
\(455\) 26727.3 8244.29i 2.75384 0.849447i
\(456\) −7963.15 1200.25i −0.817782 0.123261i
\(457\) 3628.03 4549.40i 0.371361 0.465672i −0.560676 0.828035i \(-0.689459\pi\)
0.932037 + 0.362364i \(0.118030\pi\)
\(458\) −2901.12 1977.95i −0.295983 0.201798i
\(459\) −2443.31 + 2267.06i −0.248462 + 0.230539i
\(460\) −9808.77 + 24992.3i −0.994210 + 2.53320i
\(461\) −11856.5 3657.23i −1.19785 0.369489i −0.369253 0.929329i \(-0.620386\pi\)
−0.828601 + 0.559840i \(0.810862\pi\)
\(462\) −7498.94 3611.30i −0.755157 0.363664i
\(463\) 774.195 + 1972.62i 0.0777104 + 0.198003i 0.964449 0.264268i \(-0.0851302\pi\)
−0.886739 + 0.462270i \(0.847035\pi\)
\(464\) 2757.02 + 36789.8i 0.275843 + 3.68087i
\(465\) 3419.20 + 4287.54i 0.340992 + 0.427591i
\(466\) 826.158 + 1430.95i 0.0821267 + 0.142248i
\(467\) 4368.49 7566.45i 0.432869 0.749751i −0.564250 0.825604i \(-0.690835\pi\)
0.997119 + 0.0758530i \(0.0241680\pi\)
\(468\) 26023.2 3922.37i 2.57035 0.387418i
\(469\) −4458.28 + 2147.00i −0.438943 + 0.211384i
\(470\) 10313.1 + 9569.13i 1.01214 + 0.939130i
\(471\) 1112.36 + 4873.58i 0.108822 + 0.476778i
\(472\) 35781.6 3.48936
\(473\) 5531.69 3450.97i 0.537732 0.335467i
\(474\) −20971.0 −2.03213
\(475\) 1571.10 + 6883.45i 0.151762 + 0.664915i
\(476\) −8825.70 8189.06i −0.849843 0.788540i
\(477\) −3374.56 + 1625.10i −0.323922 + 0.155992i
\(478\) 3389.64 510.906i 0.324348 0.0488876i
\(479\) −6625.52 + 11475.7i −0.631999 + 1.09465i 0.355143 + 0.934812i \(0.384432\pi\)
−0.987143 + 0.159843i \(0.948901\pi\)
\(480\) 10542.7 + 18260.5i 1.00251 + 1.73640i
\(481\) −8580.27 10759.3i −0.813361 1.01992i
\(482\) 234.465 + 3128.72i 0.0221569 + 0.295663i
\(483\) 1961.72 + 4998.38i 0.184806 + 0.470878i
\(484\) 14405.4 + 6937.28i 1.35288 + 0.651510i
\(485\) −20373.4 6284.38i −1.90744 0.588369i
\(486\) −7584.54 + 19325.1i −0.707905 + 1.80371i
\(487\) −3234.10 + 3000.81i −0.300926 + 0.279219i −0.816154 0.577835i \(-0.803898\pi\)
0.515228 + 0.857053i \(0.327707\pi\)
\(488\) −10473.5 7140.72i −0.971545 0.662388i
\(489\) 4584.05 5748.22i 0.423922 0.531582i
\(490\) −19154.6 2887.09i −1.76595 0.266174i
\(491\) −10698.8 + 3300.14i −0.983360 + 0.303326i −0.744423 0.667708i \(-0.767275\pi\)
−0.238937 + 0.971035i \(0.576799\pi\)
\(492\) −516.280 + 6889.28i −0.0473083 + 0.631286i
\(493\) 4330.99 2952.82i 0.395655 0.269753i
\(494\) 3611.04 15821.0i 0.328883 1.44093i
\(495\) −1631.75 + 7149.14i −0.148165 + 0.649152i
\(496\) −16640.0 + 11345.0i −1.50637 + 1.02703i
\(497\) −48.7656 + 650.731i −0.00440128 + 0.0587310i
\(498\) −2108.36 + 650.341i −0.189714 + 0.0585191i
\(499\) 13699.3 + 2064.84i 1.22899 + 0.185240i 0.731264 0.682094i \(-0.238931\pi\)
0.497725 + 0.867335i \(0.334169\pi\)
\(500\) 7666.65 9613.68i 0.685726 0.859873i
\(501\) 1714.52 + 1168.94i 0.152892 + 0.104240i
\(502\) 10486.8 9730.34i 0.932369 0.865112i
\(503\) −1180.25 + 3007.24i −0.104622 + 0.266573i −0.973593 0.228290i \(-0.926687\pi\)
0.868971 + 0.494863i \(0.164782\pi\)
\(504\) −27106.9 8361.36i −2.39571 0.738978i
\(505\) −746.009 359.259i −0.0657366 0.0316571i
\(506\) 3538.20 + 9015.18i 0.310854 + 0.792042i
\(507\) −577.992 7712.77i −0.0506302 0.675614i
\(508\) 2047.23 + 2567.15i 0.178802 + 0.224210i
\(509\) 115.269 + 199.651i 0.0100377 + 0.0173858i 0.871001 0.491282i \(-0.163472\pi\)
−0.860963 + 0.508668i \(0.830138\pi\)
\(510\) 3265.72 5656.38i 0.283546 0.491116i
\(511\) 17295.7 2606.90i 1.49729 0.225680i
\(512\) 12569.4 6053.11i 1.08495 0.522485i
\(513\) 4219.73 + 3915.34i 0.363169 + 0.336972i
\(514\) −3984.27 17456.2i −0.341904 1.49798i
\(515\) −17578.2 −1.50406
\(516\) −12362.4 + 10569.5i −1.05470 + 0.901741i
\(517\) 3628.88 0.308700
\(518\) 5487.17 + 24040.9i 0.465430 + 2.03918i
\(519\) −7274.94 6750.16i −0.615288 0.570904i
\(520\) −68206.7 + 32846.6i −5.75204 + 2.77004i
\(521\) 9861.84 1486.43i 0.829280 0.124994i 0.279334 0.960194i \(-0.409886\pi\)
0.549946 + 0.835200i \(0.314648\pi\)
\(522\) 10265.5 17780.4i 0.860748 1.49086i
\(523\) 3662.23 + 6343.16i 0.306191 + 0.530339i 0.977526 0.210816i \(-0.0676120\pi\)
−0.671335 + 0.741154i \(0.734279\pi\)
\(524\) 11788.5 + 14782.3i 0.982794 + 1.23239i
\(525\) −818.346 10920.1i −0.0680296 0.907792i
\(526\) −5062.11 12898.1i −0.419617 1.06917i
\(527\) 2578.08 + 1241.54i 0.213098 + 0.102623i
\(528\) 11330.6 + 3495.04i 0.933906 + 0.288072i
\(529\) −2162.50 + 5509.97i −0.177735 + 0.452862i
\(530\) 13129.6 12182.5i 1.07606 0.998438i
\(531\) −8659.80 5904.15i −0.707727 0.482520i
\(532\) −12964.3 + 16256.7i −1.05653 + 1.32485i
\(533\) −8280.96 1248.15i −0.672961 0.101433i
\(534\) 24111.9 7437.54i 1.95398 0.602722i
\(535\) 462.074 6165.95i 0.0373406 0.498276i
\(536\) 11066.0 7544.64i 0.891747 0.607983i
\(537\) 1797.75 7876.47i 0.144467 0.632951i
\(538\) −878.206 + 3847.67i −0.0703758 + 0.308336i
\(539\) −4128.34 + 2814.66i −0.329908 + 0.224927i
\(540\) 3336.04 44516.3i 0.265852 3.54755i
\(541\) 9435.82 2910.56i 0.749866 0.231303i 0.103814 0.994597i \(-0.466895\pi\)
0.646052 + 0.763294i \(0.276419\pi\)
\(542\) 19680.8 + 2966.40i 1.55971 + 0.235088i
\(543\) −794.741 + 996.574i −0.0628096 + 0.0787608i
\(544\) 9090.31 + 6197.67i 0.716441 + 0.488461i
\(545\) −12719.2 + 11801.7i −0.999688 + 0.927575i
\(546\) −9195.33 + 23429.3i −0.720740 + 1.83641i
\(547\) −21483.3 6626.74i −1.67927 0.517987i −0.698913 0.715207i \(-0.746332\pi\)
−0.980359 + 0.197220i \(0.936809\pi\)
\(548\) 16814.3 + 8097.35i 1.31072 + 0.631207i
\(549\) 1356.53 + 3456.37i 0.105456 + 0.268697i
\(550\) −1475.99 19695.7i −0.114430 1.52696i
\(551\) −5644.38 7077.83i −0.436404 0.547234i
\(552\) −7266.64 12586.2i −0.560306 0.970478i
\(553\) −16286.1 + 28208.4i −1.25236 + 2.16916i
\(554\) −19376.5 + 2920.54i −1.48597 + 0.223975i
\(555\) −8618.54 + 4150.47i −0.659166 + 0.317437i
\(556\) −29701.2 27558.7i −2.26549 2.10207i
\(557\) 655.071 + 2870.06i 0.0498317 + 0.218327i 0.993713 0.111958i \(-0.0357122\pi\)
−0.943881 + 0.330285i \(0.892855\pi\)
\(558\) 11207.7 0.850287
\(559\) −11656.5 15901.1i −0.881967 1.20312i
\(560\) 71400.0 5.38786
\(561\) −374.886 1642.48i −0.0282134 0.123611i
\(562\) −11473.6 10646.0i −0.861184 0.799062i
\(563\) 7452.64 3589.00i 0.557888 0.268665i −0.133621 0.991033i \(-0.542660\pi\)
0.691509 + 0.722368i \(0.256946\pi\)
\(564\) −8951.69 + 1349.25i −0.668323 + 0.100733i
\(565\) 13029.6 22567.9i 0.970194 1.68043i
\(566\) −9663.57 16737.8i −0.717650 1.24301i
\(567\) 1895.22 + 2376.53i 0.140374 + 0.176023i
\(568\) −131.989 1761.28i −0.00975026 0.130108i
\(569\) 8548.12 + 21780.3i 0.629799 + 1.60470i 0.786872 + 0.617116i \(0.211699\pi\)
−0.157073 + 0.987587i \(0.550206\pi\)
\(570\) −10163.0 4894.26i −0.746812 0.359646i
\(571\) 11386.0 + 3512.11i 0.834481 + 0.257403i 0.682413 0.730967i \(-0.260930\pi\)
0.152068 + 0.988370i \(0.451407\pi\)
\(572\) −11859.5 + 30217.4i −0.866904 + 2.20883i
\(573\) 9080.37 8425.35i 0.662021 0.614266i
\(574\) 12398.5 + 8453.18i 0.901577 + 0.614685i
\(575\) −7944.46 + 9962.03i −0.576186 + 0.722514i
\(576\) 16142.0 + 2433.02i 1.16768 + 0.176000i
\(577\) −25901.3 + 7989.50i −1.86878 + 0.576442i −0.872671 + 0.488308i \(0.837614\pi\)
−0.996109 + 0.0881343i \(0.971910\pi\)
\(578\) −1690.78 + 22561.9i −0.121674 + 1.62362i
\(579\) −2120.26 + 1445.57i −0.152185 + 0.103758i
\(580\) −15622.2 + 68445.5i −1.11841 + 4.90008i
\(581\) −762.568 + 3341.03i −0.0544521 + 0.238570i
\(582\) 15852.0 10807.7i 1.12901 0.769748i
\(583\) 345.248 4607.01i 0.0245261 0.327278i
\(584\) −45238.1 + 13954.1i −3.20542 + 0.988742i
\(585\) 21927.1 + 3304.99i 1.54970 + 0.233580i
\(586\) 664.043 832.684i 0.0468112 0.0586994i
\(587\) −7043.26 4802.01i −0.495241 0.337650i 0.289806 0.957085i \(-0.406409\pi\)
−0.785047 + 0.619436i \(0.787361\pi\)
\(588\) 9137.23 8478.11i 0.640839 0.594611i
\(589\) 1805.47 4600.26i 0.126304 0.321817i
\(590\) 47893.2 + 14773.1i 3.34192 + 1.03085i
\(591\) 9176.99 + 4419.41i 0.638732 + 0.307597i
\(592\) −12834.4 32701.6i −0.891033 2.27032i
\(593\) −929.830 12407.7i −0.0643905 0.859231i −0.932110 0.362176i \(-0.882034\pi\)
0.867719 0.497055i \(-0.165585\pi\)
\(594\) −10040.0 12589.7i −0.693510 0.869633i
\(595\) −5072.31 8785.50i −0.349487 0.605329i
\(596\) 22969.5 39784.3i 1.57863 2.73427i
\(597\) 5294.69 798.046i 0.362977 0.0547099i
\(598\) 26385.9 12706.8i 1.80435 0.868928i
\(599\) 15550.9 + 14429.1i 1.06076 + 0.984237i 0.999903 0.0139100i \(-0.00442783\pi\)
0.0608518 + 0.998147i \(0.480618\pi\)
\(600\) 6595.35 + 28896.1i 0.448757 + 1.96613i
\(601\) 8375.14 0.568434 0.284217 0.958760i \(-0.408266\pi\)
0.284217 + 0.958760i \(0.408266\pi\)
\(602\) 6456.05 + 34733.5i 0.437091 + 2.35155i
\(603\) −3923.07 −0.264942
\(604\) −2157.26 9451.58i −0.145327 0.636721i
\(605\) 9875.80 + 9163.40i 0.663650 + 0.615777i
\(606\) 671.307 323.284i 0.0450000 0.0216708i
\(607\) 16470.2 2482.49i 1.10133 0.165998i 0.426871 0.904313i \(-0.359616\pi\)
0.674457 + 0.738314i \(0.264378\pi\)
\(608\) 9500.54 16455.4i 0.633714 1.09762i
\(609\) 7020.45 + 12159.8i 0.467131 + 0.809095i
\(610\) −11070.5 13882.0i −0.734805 0.921417i
\(611\) −820.063 10943.0i −0.0542982 0.724559i
\(612\) −3487.24 8885.33i −0.230332 0.586876i
\(613\) 5772.02 + 2779.66i 0.380310 + 0.183147i 0.614265 0.789100i \(-0.289453\pi\)
−0.233955 + 0.972247i \(0.575167\pi\)
\(614\) −13606.2 4196.97i −0.894304 0.275856i
\(615\) −2126.72 + 5418.79i −0.139443 + 0.355295i
\(616\) 25649.5 23799.2i 1.67767 1.55665i
\(617\) 16504.3 + 11252.5i 1.07689 + 0.734208i 0.965718 0.259593i \(-0.0835885\pi\)
0.111168 + 0.993802i \(0.464541\pi\)
\(618\) 9862.37 12367.0i 0.641946 0.804975i
\(619\) 16991.9 + 2561.12i 1.10333 + 0.166300i 0.675357 0.737491i \(-0.263989\pi\)
0.427974 + 0.903791i \(0.359228\pi\)
\(620\) −36621.9 + 11296.4i −2.37221 + 0.731730i
\(621\) −776.330 + 10359.4i −0.0501660 + 0.669418i
\(622\) −36851.6 + 25125.0i −2.37559 + 1.61965i
\(623\) 8721.00 38209.2i 0.560834 2.45717i
\(624\) 7978.84 34957.6i 0.511874 2.24267i
\(625\) −8088.28 + 5514.49i −0.517650 + 0.352928i
\(626\) −3989.77 + 53239.8i −0.254734 + 3.39919i
\(627\) −2780.34 + 857.620i −0.177091 + 0.0546253i
\(628\) −34544.6 5206.76i −2.19503 0.330848i
\(629\) −3112.04 + 3902.38i −0.197274 + 0.247373i
\(630\) −32830.1 22383.2i −2.07616 1.41550i
\(631\) −1397.35 + 1296.55i −0.0881580 + 0.0817986i −0.723021 0.690826i \(-0.757247\pi\)
0.634863 + 0.772625i \(0.281057\pi\)
\(632\) 32208.6 82066.1i 2.02720 5.16521i
\(633\) −7763.29 2394.66i −0.487461 0.150362i
\(634\) −2767.97 1332.98i −0.173391 0.0835008i
\(635\) 1010.78 + 2575.43i 0.0631680 + 0.160949i
\(636\) 861.273 + 11492.9i 0.0536977 + 0.716545i
\(637\) 9420.59 + 11813.0i 0.585961 + 0.734772i
\(638\) 12662.2 + 21931.6i 0.785740 + 1.36094i
\(639\) −258.676 + 448.040i −0.0160142 + 0.0277374i
\(640\) −19133.0 + 2883.84i −1.18172 + 0.178115i
\(641\) −15668.8 + 7545.72i −0.965495 + 0.464958i −0.849092 0.528244i \(-0.822850\pi\)
−0.116402 + 0.993202i \(0.537136\pi\)
\(642\) 4078.76 + 3784.53i 0.250741 + 0.232654i
\(643\) −6198.44 27157.1i −0.380160 1.66559i −0.696971 0.717100i \(-0.745469\pi\)
0.316811 0.948489i \(-0.397388\pi\)
\(644\) −37525.0 −2.29611
\(645\) −12578.8 + 5439.90i −0.767893 + 0.332086i
\(646\) −5885.80 −0.358473
\(647\) −3524.29 15440.9i −0.214148 0.938246i −0.961713 0.274057i \(-0.911634\pi\)
0.747565 0.664189i \(-0.231223\pi\)
\(648\) −6031.02 5595.97i −0.365619 0.339244i
\(649\) 11647.7 5609.23i 0.704486 0.339263i
\(650\) −59059.2 + 8901.74i −3.56383 + 0.537161i
\(651\) −3832.39 + 6637.89i −0.230727 + 0.399630i
\(652\) 25690.5 + 44497.3i 1.54313 + 2.67277i
\(653\) −5308.40 6656.52i −0.318122 0.398913i 0.596900 0.802315i \(-0.296399\pi\)
−0.915023 + 0.403403i \(0.867827\pi\)
\(654\) −1166.80 15569.9i −0.0697639 0.930934i
\(655\) 5820.36 + 14830.0i 0.347207 + 0.884668i
\(656\) −19260.8 9275.53i −1.14636 0.552056i
\(657\) 13251.0 + 4087.38i 0.786864 + 0.242715i
\(658\) −7183.84 + 18304.1i −0.425616 + 1.08445i
\(659\) 5262.85 4883.22i 0.311095 0.288654i −0.509136 0.860686i \(-0.670035\pi\)
0.820231 + 0.572032i \(0.193845\pi\)
\(660\) 18643.4 + 12710.8i 1.09953 + 0.749650i
\(661\) 15190.1 19047.8i 0.893838 1.12084i −0.0982331 0.995163i \(-0.531319\pi\)
0.992072 0.125675i \(-0.0401095\pi\)
\(662\) −19825.9 2988.27i −1.16398 0.175442i
\(663\) −4868.22 + 1501.65i −0.285168 + 0.0879626i
\(664\) 693.152 9249.48i 0.0405113 0.540586i
\(665\) −14476.0 + 9869.54i −0.844140 + 0.575525i
\(666\) −4350.28 + 19059.8i −0.253108 + 1.10894i
\(667\) 3635.46 15928.0i 0.211043 0.924638i
\(668\) −11981.9 + 8169.11i −0.694001 + 0.473162i
\(669\) −609.087 + 8127.70i −0.0351998 + 0.469709i
\(670\) 17926.6 5529.63i 1.03368 0.318848i
\(671\) −4528.76 682.601i −0.260553 0.0392720i
\(672\) −18374.5 + 23040.9i −1.05478 + 1.32265i
\(673\) −7925.39 5403.44i −0.453940 0.309491i 0.314679 0.949198i \(-0.398103\pi\)
−0.768619 + 0.639707i \(0.779056\pi\)
\(674\) 31870.6 29571.6i 1.82138 1.68999i
\(675\) 7740.21 19721.7i 0.441364 1.12458i
\(676\) 51650.3 + 15932.0i 2.93868 + 0.906464i
\(677\) −240.315 115.730i −0.0136426 0.00656994i 0.427050 0.904228i \(-0.359553\pi\)
−0.440693 + 0.897658i \(0.645267\pi\)
\(678\) 8567.16 + 21828.8i 0.485280 + 1.23647i
\(679\) −2226.90 29715.9i −0.125862 1.67952i
\(680\) 17119.5 + 21467.2i 0.965445 + 1.21063i
\(681\) 4752.71 + 8231.94i 0.267437 + 0.463214i
\(682\) −6912.17 + 11972.2i −0.388095 + 0.672200i
\(683\) 24631.1 3712.54i 1.37992 0.207989i 0.583194 0.812333i \(-0.301803\pi\)
0.796724 + 0.604344i \(0.206565\pi\)
\(684\) −14852.5 + 7152.56i −0.830260 + 0.399832i
\(685\) 11527.2 + 10695.7i 0.642969 + 0.596588i
\(686\) 3538.27 + 15502.2i 0.196927 + 0.862791i
\(687\) 1903.75 0.105724
\(688\) −16469.7 47558.7i −0.912645 2.63541i
\(689\) −13970.6 −0.772477
\(690\) −4529.87 19846.6i −0.249926 1.09500i
\(691\) 15298.7 + 14195.1i 0.842240 + 0.781485i 0.977856 0.209277i \(-0.0671109\pi\)
−0.135616 + 0.990761i \(0.543301\pi\)
\(692\) 62486.6 30092.0i 3.43264 1.65307i
\(693\) −10134.6 + 1527.55i −0.555531 + 0.0837328i
\(694\) −16705.7 + 28935.1i −0.913744 + 1.58265i
\(695\) −17069.9 29565.9i −0.931652 1.61367i
\(696\) −23694.6 29712.1i −1.29043 1.61815i
\(697\) 226.986 + 3028.91i 0.0123353 + 0.164603i
\(698\) 1299.47 + 3311.01i 0.0704668 + 0.179546i
\(699\) −807.149 388.703i −0.0436755 0.0210330i
\(700\) 73128.7 + 22557.2i 3.94858 + 1.21798i
\(701\) −5157.16 + 13140.2i −0.277865 + 0.707989i 0.722005 + 0.691888i \(0.243221\pi\)
−0.999870 + 0.0161011i \(0.994875\pi\)
\(702\) −35695.7 + 33120.8i −1.91916 + 1.78072i
\(703\) 7122.41 + 4855.98i 0.382115 + 0.260521i
\(704\) −12554.3 + 15742.6i −0.672101 + 0.842788i
\(705\) −7542.69 1136.88i −0.402942 0.0607337i
\(706\) −15337.4 + 4730.97i −0.817609 + 0.252199i
\(707\) 86.4838 1154.05i 0.00460051 0.0613895i
\(708\) −26646.8 + 18167.5i −1.41448 + 0.964373i
\(709\) −1057.24 + 4632.05i −0.0560019 + 0.245360i −0.995179 0.0980720i \(-0.968732\pi\)
0.939177 + 0.343432i \(0.111590\pi\)
\(710\) 550.510 2411.94i 0.0290990 0.127491i
\(711\) −21336.4 + 14546.9i −1.12543 + 0.767303i
\(712\) −7927.14 + 105780.i −0.417250 + 5.56781i
\(713\) 8522.29 2628.78i 0.447633 0.138076i
\(714\) 9026.83 + 1360.58i 0.473138 + 0.0713141i
\(715\) −17053.6 + 21384.6i −0.891986 + 1.11852i
\(716\) 46649.5 + 31805.1i 2.43488 + 1.66007i
\(717\) −1362.44 + 1264.16i −0.0709640 + 0.0658450i
\(718\) 12645.6 32220.5i 0.657283 1.67473i
\(719\) 19265.3 + 5942.56i 0.999269 + 0.308234i 0.750889 0.660429i \(-0.229626\pi\)
0.248380 + 0.968663i \(0.420102\pi\)
\(720\) 51000.7 + 24560.7i 2.63984 + 1.27128i
\(721\) −8975.90 22870.2i −0.463634 1.18132i
\(722\) −1956.41 26106.5i −0.100845 1.34568i
\(723\) −1060.63 1329.99i −0.0545577 0.0684132i
\(724\) −4453.99 7714.53i −0.228634 0.396006i
\(725\) −16659.5 + 28855.0i −0.853403 + 1.47814i
\(726\) −11987.7 + 1806.86i −0.612818 + 0.0923674i
\(727\) −12914.5 + 6219.30i −0.658834 + 0.317278i −0.733260 0.679949i \(-0.762002\pi\)
0.0744256 + 0.997227i \(0.476288\pi\)
\(728\) −77563.4 71968.3i −3.94875 3.66391i
\(729\) −1732.31 7589.77i −0.0880107 0.385600i
\(730\) −66311.9 −3.36208
\(731\) −4681.90 + 5405.14i −0.236890 + 0.273483i
\(732\) 11425.3 0.576900
\(733\) −5409.05 23698.6i −0.272562 1.19417i −0.906977 0.421180i \(-0.861616\pi\)
0.634415 0.772993i \(-0.281241\pi\)
\(734\) −12183.9 11305.0i −0.612690 0.568494i
\(735\) 9462.61 4556.95i 0.474876 0.228688i
\(736\) 33907.9 5110.80i 1.69818 0.255960i
\(737\) 2419.49 4190.68i 0.120927 0.209451i
\(738\) 5948.44 + 10303.0i 0.296701 + 0.513901i
\(739\) 17884.1 + 22426.0i 0.890227 + 1.11631i 0.992584 + 0.121561i \(0.0387901\pi\)
−0.102357 + 0.994748i \(0.532638\pi\)
\(740\) −4995.77 66663.9i −0.248173 3.31164i
\(741\) 3214.48 + 8190.36i 0.159361 + 0.406046i
\(742\) 22554.4 + 10861.6i 1.11590 + 0.537388i
\(743\) −24465.1 7546.48i −1.20799 0.372616i −0.375587 0.926787i \(-0.622559\pi\)
−0.832403 + 0.554171i \(0.813035\pi\)
\(744\) 7579.20 19311.5i 0.373477 0.951604i
\(745\) 28375.1 26328.2i 1.39541 1.29475i
\(746\) −60265.9 41088.6i −2.95776 2.01657i
\(747\) −1693.97 + 2124.17i −0.0829706 + 0.104042i
\(748\) 11642.1 + 1754.77i 0.569089 + 0.0857764i
\(749\) 8258.19 2547.31i 0.402867 0.124268i
\(750\) −696.739 + 9297.34i −0.0339218 + 0.452654i
\(751\) −5414.37 + 3691.46i −0.263080 + 0.179365i −0.687675 0.726018i \(-0.741369\pi\)
0.424595 + 0.905383i \(0.360416\pi\)
\(752\) 6233.46 27310.6i 0.302275 1.32435i
\(753\) −1725.96 + 7561.92i −0.0835292 + 0.365965i
\(754\) 63273.8 43139.4i 3.05610 2.08361i
\(755\) 610.449 8145.87i 0.0294258 0.392660i
\(756\) 59621.7 18390.8i 2.86828 0.884747i
\(757\) 6264.97 + 944.292i 0.300798 + 0.0453380i 0.297707 0.954657i \(-0.403778\pi\)