Properties

Label 43.4.g.a.24.7
Level 43
Weight 4
Character 43.24
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 24.7
Character \(\chi\) \(=\) 43.24
Dual form 43.4.g.a.9.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.789787 - 0.990362i) q^{2} +(-6.14934 + 0.926863i) q^{3} +(1.42311 + 6.23507i) q^{4} +(-11.5199 + 7.85413i) q^{5} +(-3.93874 + 6.82209i) q^{6} +(-0.966032 - 1.67322i) q^{7} +(16.4291 + 7.91186i) q^{8} +(11.1548 - 3.44080i) q^{9} +O(q^{10})\) \(q+(0.789787 - 0.990362i) q^{2} +(-6.14934 + 0.926863i) q^{3} +(1.42311 + 6.23507i) q^{4} +(-11.5199 + 7.85413i) q^{5} +(-3.93874 + 6.82209i) q^{6} +(-0.966032 - 1.67322i) q^{7} +(16.4291 + 7.91186i) q^{8} +(11.1548 - 3.44080i) q^{9} +(-1.31983 + 17.6120i) q^{10} +(-7.67566 + 33.6293i) q^{11} +(-14.5303 - 37.0225i) q^{12} +(-3.66052 - 48.8462i) q^{13} +(-2.42005 - 0.364764i) q^{14} +(63.5600 - 58.9751i) q^{15} +(-25.2855 + 12.1768i) q^{16} +(40.7603 + 27.7899i) q^{17} +(5.40228 - 13.7648i) q^{18} +(-58.3151 - 17.9878i) q^{19} +(-65.3652 - 60.6501i) q^{20} +(7.49130 + 9.39379i) q^{21} +(27.2430 + 34.1617i) q^{22} +(138.188 + 128.220i) q^{23} +(-108.362 - 33.4251i) q^{24} +(25.3530 - 64.5985i) q^{25} +(-51.2665 - 34.9529i) q^{26} +(85.8740 - 41.3547i) q^{27} +(9.05785 - 8.40446i) q^{28} +(10.8304 + 1.63242i) q^{29} +(-8.20778 - 109.525i) q^{30} +(26.3549 + 67.1512i) q^{31} +(-40.3720 + 176.881i) q^{32} +(16.0305 - 213.912i) q^{33} +(59.7140 - 18.4193i) q^{34} +(24.2702 + 11.6879i) q^{35} +(37.3282 + 64.6543i) q^{36} +(-144.912 + 250.995i) q^{37} +(-63.8710 + 43.5465i) q^{38} +(67.7835 + 296.979i) q^{39} +(-251.403 + 37.8929i) q^{40} +(32.8220 - 41.1575i) q^{41} +15.2198 q^{42} +(-263.036 + 101.584i) q^{43} -220.604 q^{44} +(-101.478 + 127.249i) q^{45} +(236.123 - 35.5898i) q^{46} +(110.186 + 482.758i) q^{47} +(144.203 - 98.3156i) q^{48} +(169.634 - 293.814i) q^{49} +(-43.9524 - 76.1277i) q^{50} +(-276.406 - 133.110i) q^{51} +(299.350 - 92.3374i) q^{52} +(47.9675 - 640.082i) q^{53} +(26.8660 - 117.708i) q^{54} +(-175.706 - 447.692i) q^{55} +(-2.63282 - 35.1326i) q^{56} +(375.272 + 56.5631i) q^{57} +(10.1704 - 9.43672i) q^{58} +(-446.880 + 215.206i) q^{59} +(458.167 + 312.373i) q^{60} +(248.259 - 632.554i) q^{61} +(87.3188 + 26.9343i) q^{62} +(-16.5331 - 15.3405i) q^{63} +(3.30643 + 4.14614i) q^{64} +(425.814 + 533.953i) q^{65} +(-199.190 - 184.821i) q^{66} +(698.419 + 215.434i) q^{67} +(-115.265 + 293.691i) q^{68} +(-968.606 - 660.385i) q^{69} +(30.7436 - 14.8053i) q^{70} +(-536.847 + 498.122i) q^{71} +(210.487 + 31.7258i) q^{72} +(-61.4810 - 820.407i) q^{73} +(134.126 + 341.748i) q^{74} +(-96.0303 + 420.736i) q^{75} +(29.1663 - 389.198i) q^{76} +(63.6840 - 19.6439i) q^{77} +(347.651 + 167.420i) q^{78} +(-40.2263 - 69.6740i) q^{79} +(195.647 - 338.871i) q^{80} +(-750.153 + 511.446i) q^{81} +(-14.8384 - 65.0114i) q^{82} +(222.741 - 33.5728i) q^{83} +(-47.9100 + 60.0772i) q^{84} -687.820 q^{85} +(-107.138 + 340.730i) q^{86} -68.1126 q^{87} +(-392.175 + 491.771i) q^{88} +(738.971 - 111.382i) q^{89} +(45.8767 + 200.999i) q^{90} +(-78.1941 + 53.3118i) q^{91} +(-602.802 + 1044.08i) q^{92} +(-224.305 - 388.508i) q^{93} +(565.129 + 272.152i) q^{94} +(813.063 - 250.797i) q^{95} +(84.3162 - 1125.12i) q^{96} +(-239.594 + 1049.73i) q^{97} +(-157.008 - 400.049i) q^{98} +(30.0911 + 401.538i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.789787 0.990362i 0.279232 0.350146i −0.622362 0.782730i \(-0.713827\pi\)
0.901594 + 0.432584i \(0.142398\pi\)
\(3\) −6.14934 + 0.926863i −1.18344 + 0.178375i −0.711132 0.703059i \(-0.751817\pi\)
−0.472308 + 0.881433i \(0.656579\pi\)
\(4\) 1.42311 + 6.23507i 0.177889 + 0.779384i
\(5\) −11.5199 + 7.85413i −1.03037 + 0.702495i −0.955588 0.294705i \(-0.904779\pi\)
−0.0747828 + 0.997200i \(0.523826\pi\)
\(6\) −3.93874 + 6.82209i −0.267997 + 0.464185i
\(7\) −0.966032 1.67322i −0.0521608 0.0903452i 0.838766 0.544492i \(-0.183278\pi\)
−0.890927 + 0.454147i \(0.849944\pi\)
\(8\) 16.4291 + 7.91186i 0.726072 + 0.349658i
\(9\) 11.1548 3.44080i 0.413141 0.127437i
\(10\) −1.31983 + 17.6120i −0.0417368 + 0.556939i
\(11\) −7.67566 + 33.6293i −0.210391 + 0.921783i 0.753911 + 0.656977i \(0.228165\pi\)
−0.964302 + 0.264806i \(0.914692\pi\)
\(12\) −14.5303 37.0225i −0.349544 0.890624i
\(13\) −3.66052 48.8462i −0.0780958 1.04212i −0.889291 0.457341i \(-0.848802\pi\)
0.811196 0.584775i \(-0.198817\pi\)
\(14\) −2.42005 0.364764i −0.0461989 0.00696337i
\(15\) 63.5600 58.9751i 1.09408 1.01515i
\(16\) −25.2855 + 12.1768i −0.395085 + 0.190263i
\(17\) 40.7603 + 27.7899i 0.581519 + 0.396473i 0.818047 0.575152i \(-0.195057\pi\)
−0.236528 + 0.971625i \(0.576009\pi\)
\(18\) 5.40228 13.7648i 0.0707405 0.180244i
\(19\) −58.3151 17.9878i −0.704127 0.217194i −0.0780429 0.996950i \(-0.524867\pi\)
−0.626084 + 0.779756i \(0.715343\pi\)
\(20\) −65.3652 60.6501i −0.730806 0.678088i
\(21\) 7.49130 + 9.39379i 0.0778445 + 0.0976139i
\(22\) 27.2430 + 34.1617i 0.264010 + 0.331059i
\(23\) 138.188 + 128.220i 1.25279 + 1.16242i 0.979708 + 0.200429i \(0.0642336\pi\)
0.273082 + 0.961991i \(0.411957\pi\)
\(24\) −108.362 33.4251i −0.921634 0.284286i
\(25\) 25.3530 64.5985i 0.202824 0.516788i
\(26\) −51.2665 34.9529i −0.386699 0.263647i
\(27\) 85.8740 41.3547i 0.612091 0.294767i
\(28\) 9.05785 8.40446i 0.0611347 0.0567247i
\(29\) 10.8304 + 1.63242i 0.0693500 + 0.0104528i 0.183626 0.982996i \(-0.441217\pi\)
−0.114276 + 0.993449i \(0.536455\pi\)
\(30\) −8.20778 109.525i −0.0499510 0.666549i
\(31\) 26.3549 + 67.1512i 0.152693 + 0.389055i 0.986668 0.162747i \(-0.0520355\pi\)
−0.833975 + 0.551802i \(0.813940\pi\)
\(32\) −40.3720 + 176.881i −0.223026 + 0.977139i
\(33\) 16.0305 213.912i 0.0845621 1.12840i
\(34\) 59.7140 18.4193i 0.301202 0.0929085i
\(35\) 24.2702 + 11.6879i 0.117212 + 0.0564463i
\(36\) 37.3282 + 64.6543i 0.172816 + 0.299325i
\(37\) −144.912 + 250.995i −0.643876 + 1.11523i 0.340684 + 0.940178i \(0.389341\pi\)
−0.984560 + 0.175048i \(0.943992\pi\)
\(38\) −63.8710 + 43.5465i −0.272664 + 0.185899i
\(39\) 67.7835 + 296.979i 0.278309 + 1.21935i
\(40\) −251.403 + 37.8929i −0.993757 + 0.149785i
\(41\) 32.8220 41.1575i 0.125023 0.156774i −0.715381 0.698735i \(-0.753747\pi\)
0.840403 + 0.541961i \(0.182318\pi\)
\(42\) 15.2198 0.0559158
\(43\) −263.036 + 101.584i −0.932850 + 0.360264i
\(44\) −220.604 −0.755849
\(45\) −101.478 + 127.249i −0.336164 + 0.421537i
\(46\) 236.123 35.5898i 0.756836 0.114075i
\(47\) 110.186 + 482.758i 0.341965 + 1.49825i 0.794921 + 0.606713i \(0.207512\pi\)
−0.452956 + 0.891533i \(0.649631\pi\)
\(48\) 144.203 98.3156i 0.433622 0.295638i
\(49\) 169.634 293.814i 0.494559 0.856600i
\(50\) −43.9524 76.1277i −0.124316 0.215322i
\(51\) −276.406 133.110i −0.758913 0.365473i
\(52\) 299.350 92.3374i 0.798316 0.246248i
\(53\) 47.9675 640.082i 0.124318 1.65891i −0.491395 0.870937i \(-0.663513\pi\)
0.615713 0.787970i \(-0.288868\pi\)
\(54\) 26.8660 117.708i 0.0677038 0.296630i
\(55\) −175.706 447.692i −0.430767 1.09758i
\(56\) −2.63282 35.1326i −0.00628261 0.0838356i
\(57\) 375.272 + 56.5631i 0.872034 + 0.131438i
\(58\) 10.1704 9.43672i 0.0230247 0.0213638i
\(59\) −446.880 + 215.206i −0.986082 + 0.474872i −0.856193 0.516656i \(-0.827177\pi\)
−0.129889 + 0.991528i \(0.541462\pi\)
\(60\) 458.167 + 312.373i 0.985819 + 0.672120i
\(61\) 248.259 632.554i 0.521087 1.32771i −0.392008 0.919962i \(-0.628219\pi\)
0.913095 0.407747i \(-0.133685\pi\)
\(62\) 87.3188 + 26.9343i 0.178863 + 0.0551719i
\(63\) −16.5331 15.3405i −0.0330631 0.0306780i
\(64\) 3.30643 + 4.14614i 0.00645788 + 0.00809792i
\(65\) 425.814 + 533.953i 0.812549 + 1.01890i
\(66\) −199.190 184.821i −0.371493 0.344695i
\(67\) 698.419 + 215.434i 1.27351 + 0.392827i 0.856535 0.516089i \(-0.172612\pi\)
0.416979 + 0.908916i \(0.363089\pi\)
\(68\) −115.265 + 293.691i −0.205559 + 0.523755i
\(69\) −968.606 660.385i −1.68995 1.15219i
\(70\) 30.7436 14.8053i 0.0524938 0.0252797i
\(71\) −536.847 + 498.122i −0.897353 + 0.832622i −0.986561 0.163391i \(-0.947757\pi\)
0.0892084 + 0.996013i \(0.471566\pi\)
\(72\) 210.487 + 31.7258i 0.344529 + 0.0519294i
\(73\) −61.4810 820.407i −0.0985727 1.31536i −0.798867 0.601507i \(-0.794567\pi\)
0.700295 0.713854i \(-0.253052\pi\)
\(74\) 134.126 + 341.748i 0.210701 + 0.536857i
\(75\) −96.0303 + 420.736i −0.147848 + 0.647766i
\(76\) 29.1663 389.198i 0.0440212 0.587422i
\(77\) 63.6840 19.6439i 0.0942528 0.0290731i
\(78\) 347.651 + 167.420i 0.504664 + 0.243033i
\(79\) −40.2263 69.6740i −0.0572888 0.0992271i 0.835959 0.548792i \(-0.184912\pi\)
−0.893247 + 0.449565i \(0.851579\pi\)
\(80\) 195.647 338.871i 0.273426 0.473587i
\(81\) −750.153 + 511.446i −1.02902 + 0.701572i
\(82\) −14.8384 65.0114i −0.0199833 0.0875525i
\(83\) 222.741 33.5728i 0.294566 0.0443987i −9.66539e−5 1.00000i \(-0.500031\pi\)
0.294663 + 0.955601i \(0.404793\pi\)
\(84\) −47.9100 + 60.0772i −0.0622310 + 0.0780352i
\(85\) −687.820 −0.877700
\(86\) −107.138 + 340.730i −0.134337 + 0.427231i
\(87\) −68.1126 −0.0839361
\(88\) −392.175 + 491.771i −0.475068 + 0.595716i
\(89\) 738.971 111.382i 0.880121 0.132657i 0.306591 0.951841i \(-0.400812\pi\)
0.573530 + 0.819185i \(0.305574\pi\)
\(90\) 45.8767 + 200.999i 0.0537315 + 0.235413i
\(91\) −78.1941 + 53.3118i −0.0900766 + 0.0614132i
\(92\) −602.802 + 1044.08i −0.683113 + 1.18319i
\(93\) −224.305 388.508i −0.250101 0.433187i
\(94\) 565.129 + 272.152i 0.620092 + 0.298621i
\(95\) 813.063 250.797i 0.878090 0.270855i
\(96\) 84.3162 1125.12i 0.0896404 1.19617i
\(97\) −239.594 + 1049.73i −0.250794 + 1.09880i 0.679987 + 0.733224i \(0.261986\pi\)
−0.930781 + 0.365577i \(0.880872\pi\)
\(98\) −157.008 400.049i −0.161839 0.412358i
\(99\) 30.0911 + 401.538i 0.0305482 + 0.407637i
\(100\) 438.856 + 66.1470i 0.438856 + 0.0661470i
\(101\) −1058.56 + 982.196i −1.04287 + 0.967645i −0.999506 0.0314143i \(-0.989999\pi\)
−0.0433667 + 0.999059i \(0.513808\pi\)
\(102\) −350.129 + 168.613i −0.339882 + 0.163678i
\(103\) 335.143 + 228.497i 0.320608 + 0.218587i 0.712920 0.701245i \(-0.247372\pi\)
−0.392312 + 0.919832i \(0.628325\pi\)
\(104\) 326.325 831.463i 0.307681 0.783958i
\(105\) −160.079 49.3778i −0.148782 0.0458932i
\(106\) −596.029 553.034i −0.546146 0.506749i
\(107\) 230.052 + 288.477i 0.207851 + 0.260636i 0.874819 0.484449i \(-0.160980\pi\)
−0.666969 + 0.745086i \(0.732409\pi\)
\(108\) 380.058 + 476.578i 0.338621 + 0.424618i
\(109\) 1170.41 + 1085.98i 1.02849 + 0.954297i 0.998975 0.0452669i \(-0.0144138\pi\)
0.0295132 + 0.999564i \(0.490604\pi\)
\(110\) −582.147 179.569i −0.504596 0.155647i
\(111\) 658.475 1677.77i 0.563061 1.43466i
\(112\) 44.8010 + 30.5448i 0.0377973 + 0.0257698i
\(113\) 679.821 327.384i 0.565948 0.272546i −0.128954 0.991651i \(-0.541162\pi\)
0.694902 + 0.719104i \(0.255448\pi\)
\(114\) 352.403 326.982i 0.289522 0.268637i
\(115\) −2598.97 391.731i −2.10743 0.317644i
\(116\) 5.23463 + 69.8512i 0.00418985 + 0.0559097i
\(117\) −208.902 532.274i −0.165069 0.420588i
\(118\) −139.808 + 612.540i −0.109071 + 0.477872i
\(119\) 7.12276 95.0466i 0.00548691 0.0732177i
\(120\) 1510.84 466.032i 1.14933 0.354523i
\(121\) 127.177 + 61.2452i 0.0955499 + 0.0460144i
\(122\) −430.386 745.450i −0.319388 0.553195i
\(123\) −163.686 + 283.513i −0.119993 + 0.207833i
\(124\) −381.187 + 259.889i −0.276061 + 0.188215i
\(125\) −172.514 755.832i −0.123441 0.540830i
\(126\) −28.2502 + 4.25804i −0.0199740 + 0.00301060i
\(127\) 1475.23 1849.88i 1.03075 1.29252i 0.0753664 0.997156i \(-0.475987\pi\)
0.955385 0.295365i \(-0.0954412\pi\)
\(128\) −1444.72 −0.997630
\(129\) 1523.34 868.470i 1.03971 0.592748i
\(130\) 865.109 0.583655
\(131\) 50.7815 63.6780i 0.0338687 0.0424700i −0.764609 0.644495i \(-0.777068\pi\)
0.798477 + 0.602025i \(0.205639\pi\)
\(132\) 1356.57 204.470i 0.894502 0.134825i
\(133\) 26.2367 + 114.951i 0.0171054 + 0.0749435i
\(134\) 764.960 521.541i 0.493153 0.336226i
\(135\) −664.454 + 1150.87i −0.423608 + 0.733711i
\(136\) 449.787 + 779.053i 0.283595 + 0.491201i
\(137\) −293.492 141.338i −0.183027 0.0881413i 0.340126 0.940380i \(-0.389530\pi\)
−0.523153 + 0.852239i \(0.675245\pi\)
\(138\) −1419.01 + 437.707i −0.875322 + 0.270001i
\(139\) −58.4941 + 780.550i −0.0356936 + 0.476298i 0.950503 + 0.310717i \(0.100569\pi\)
−0.986196 + 0.165581i \(0.947050\pi\)
\(140\) −38.3358 + 167.960i −0.0231426 + 0.101394i
\(141\) −1125.02 2866.52i −0.671944 1.71209i
\(142\) 69.3254 + 925.083i 0.0409694 + 0.546699i
\(143\) 1670.76 + 251.827i 0.977035 + 0.147264i
\(144\) −240.156 + 222.832i −0.138979 + 0.128954i
\(145\) −137.586 + 66.2579i −0.0787992 + 0.0379477i
\(146\) −861.057 587.059i −0.488093 0.332776i
\(147\) −770.808 + 1963.99i −0.432484 + 1.10195i
\(148\) −1771.20 546.343i −0.983728 0.303440i
\(149\) 390.166 + 362.021i 0.214521 + 0.199046i 0.780113 0.625639i \(-0.215162\pi\)
−0.565592 + 0.824685i \(0.691352\pi\)
\(150\) 340.838 + 427.397i 0.185529 + 0.232645i
\(151\) 925.782 + 1160.89i 0.498934 + 0.625644i 0.965989 0.258585i \(-0.0832562\pi\)
−0.467054 + 0.884229i \(0.654685\pi\)
\(152\) −815.750 756.906i −0.435303 0.403902i
\(153\) 550.292 + 169.743i 0.290774 + 0.0896920i
\(154\) 30.8422 78.5847i 0.0161386 0.0411204i
\(155\) −831.020 566.580i −0.430640 0.293605i
\(156\) −1755.22 + 845.270i −0.900835 + 0.433819i
\(157\) −1681.24 + 1559.96i −0.854633 + 0.792983i −0.979973 0.199130i \(-0.936188\pi\)
0.125340 + 0.992114i \(0.459998\pi\)
\(158\) −100.773 15.1890i −0.0507408 0.00764794i
\(159\) 298.300 + 3980.54i 0.148785 + 1.98539i
\(160\) −924.167 2354.74i −0.456636 1.16349i
\(161\) 81.0453 355.083i 0.0396724 0.173816i
\(162\) −85.9450 + 1146.86i −0.0416820 + 0.556207i
\(163\) 2667.20 822.721i 1.28166 0.395340i 0.422182 0.906511i \(-0.361264\pi\)
0.859479 + 0.511171i \(0.170788\pi\)
\(164\) 303.330 + 146.076i 0.144427 + 0.0695525i
\(165\) 1495.42 + 2590.15i 0.705567 + 1.22208i
\(166\) 142.669 247.109i 0.0667063 0.115539i
\(167\) 2617.42 1784.53i 1.21283 0.826892i 0.223802 0.974635i \(-0.428153\pi\)
0.989026 + 0.147742i \(0.0472006\pi\)
\(168\) 48.7532 + 213.602i 0.0223893 + 0.0980937i
\(169\) −200.093 + 30.1591i −0.0910754 + 0.0137274i
\(170\) −543.231 + 681.190i −0.245082 + 0.307323i
\(171\) −712.386 −0.318582
\(172\) −1007.71 1495.48i −0.446728 0.662962i
\(173\) 1815.92 0.798045 0.399022 0.916941i \(-0.369350\pi\)
0.399022 + 0.916941i \(0.369350\pi\)
\(174\) −53.7945 + 67.4561i −0.0234376 + 0.0293899i
\(175\) −132.579 + 19.9831i −0.0572687 + 0.00863187i
\(176\) −215.416 943.797i −0.0922588 0.404212i
\(177\) 2548.55 1737.57i 1.08226 0.737875i
\(178\) 473.321 819.817i 0.199309 0.345213i
\(179\) −436.485 756.015i −0.182259 0.315683i 0.760390 0.649467i \(-0.225008\pi\)
−0.942650 + 0.333784i \(0.891674\pi\)
\(180\) −937.820 451.631i −0.388339 0.187014i
\(181\) −1718.24 + 530.006i −0.705611 + 0.217652i −0.626735 0.779232i \(-0.715609\pi\)
−0.0788758 + 0.996884i \(0.525133\pi\)
\(182\) −8.95869 + 119.545i −0.00364870 + 0.0486885i
\(183\) −940.338 + 4119.89i −0.379846 + 1.66421i
\(184\) 1255.85 + 3199.86i 0.503167 + 1.28205i
\(185\) −301.977 4029.60i −0.120010 1.60142i
\(186\) −561.917 84.6953i −0.221515 0.0333880i
\(187\) −1247.42 + 1157.43i −0.487808 + 0.452620i
\(188\) −2853.23 + 1374.04i −1.10688 + 0.533044i
\(189\) −152.152 103.736i −0.0585580 0.0399241i
\(190\) 393.767 1003.30i 0.150352 0.383091i
\(191\) −1513.74 466.928i −0.573458 0.176889i −0.00555627 0.999985i \(-0.501769\pi\)
−0.567902 + 0.823096i \(0.692245\pi\)
\(192\) −24.1753 22.4314i −0.00908698 0.00843148i
\(193\) 864.079 + 1083.52i 0.322268 + 0.404111i 0.916405 0.400253i \(-0.131078\pi\)
−0.594137 + 0.804364i \(0.702506\pi\)
\(194\) 850.383 + 1066.35i 0.314711 + 0.394635i
\(195\) −3113.37 2888.79i −1.14335 1.06087i
\(196\) 2073.36 + 639.547i 0.755597 + 0.233071i
\(197\) 473.868 1207.40i 0.171379 0.436667i −0.819217 0.573483i \(-0.805592\pi\)
0.990596 + 0.136816i \(0.0436869\pi\)
\(198\) 421.434 + 287.329i 0.151263 + 0.103129i
\(199\) −1399.39 + 673.910i −0.498493 + 0.240062i −0.666197 0.745776i \(-0.732079\pi\)
0.167704 + 0.985837i \(0.446365\pi\)
\(200\) 927.622 860.708i 0.327964 0.304306i
\(201\) −4494.49 677.436i −1.57720 0.237725i
\(202\) 136.696 + 1824.08i 0.0476133 + 0.635355i
\(203\) −7.73109 19.6985i −0.00267299 0.00681066i
\(204\) 436.594 1912.84i 0.149842 0.656499i
\(205\) −54.8498 + 731.919i −0.0186872 + 0.249363i
\(206\) 490.987 151.449i 0.166061 0.0512232i
\(207\) 1982.64 + 954.787i 0.665714 + 0.320591i
\(208\) 687.350 + 1190.53i 0.229131 + 0.396866i
\(209\) 1052.53 1823.03i 0.348348 0.603356i
\(210\) −175.330 + 119.538i −0.0576140 + 0.0392806i
\(211\) −669.508 2933.31i −0.218440 0.957048i −0.958631 0.284652i \(-0.908122\pi\)
0.740191 0.672397i \(-0.234735\pi\)
\(212\) 4059.22 611.829i 1.31504 0.198210i
\(213\) 2839.56 3560.70i 0.913445 1.14542i
\(214\) 467.389 0.149299
\(215\) 2232.29 3236.15i 0.708098 1.02653i
\(216\) 1738.03 0.547490
\(217\) 86.8988 108.968i 0.0271847 0.0340885i
\(218\) 1999.89 301.436i 0.621330 0.0936504i
\(219\) 1138.47 + 4987.97i 0.351282 + 1.53907i
\(220\) 2541.34 1732.66i 0.778805 0.530980i
\(221\) 1208.23 2092.71i 0.367756 0.636973i
\(222\) −1141.54 1977.21i −0.345114 0.597755i
\(223\) −2762.24 1330.22i −0.829476 0.399454i −0.0295571 0.999563i \(-0.509410\pi\)
−0.799918 + 0.600109i \(0.795124\pi\)
\(224\) 334.961 103.322i 0.0999130 0.0308191i
\(225\) 60.5375 807.817i 0.0179370 0.239353i
\(226\) 212.685 931.833i 0.0625999 0.274268i
\(227\) 2051.37 + 5226.81i 0.599798 + 1.52826i 0.831529 + 0.555481i \(0.187466\pi\)
−0.231730 + 0.972780i \(0.574439\pi\)
\(228\) 181.380 + 2420.34i 0.0526849 + 0.703031i
\(229\) −4638.89 699.200i −1.33863 0.201766i −0.559605 0.828759i \(-0.689047\pi\)
−0.779025 + 0.626993i \(0.784285\pi\)
\(230\) −2440.59 + 2264.53i −0.699685 + 0.649212i
\(231\) −373.407 + 179.823i −0.106357 + 0.0512186i
\(232\) 165.018 + 112.508i 0.0466982 + 0.0318383i
\(233\) 492.437 1254.71i 0.138457 0.352784i −0.844780 0.535114i \(-0.820269\pi\)
0.983237 + 0.182330i \(0.0583639\pi\)
\(234\) −692.133 213.495i −0.193360 0.0596435i
\(235\) −5060.99 4695.91i −1.40486 1.30352i
\(236\) −1977.79 2480.07i −0.545521 0.684062i
\(237\) 311.943 + 391.165i 0.0854975 + 0.107210i
\(238\) −88.5051 82.1207i −0.0241048 0.0223660i
\(239\) −4792.44 1478.27i −1.29706 0.400090i −0.432052 0.901849i \(-0.642210\pi\)
−0.865007 + 0.501759i \(0.832686\pi\)
\(240\) −889.015 + 2265.17i −0.239107 + 0.609234i
\(241\) 3741.11 + 2550.65i 0.999942 + 0.681749i 0.948451 0.316924i \(-0.102650\pi\)
0.0514916 + 0.998673i \(0.483602\pi\)
\(242\) 161.098 77.5805i 0.0427923 0.0206077i
\(243\) 2252.43 2089.95i 0.594624 0.551731i
\(244\) 4297.32 + 647.717i 1.12749 + 0.169942i
\(245\) 353.493 + 4717.03i 0.0921789 + 1.23004i
\(246\) 151.503 + 386.024i 0.0392662 + 0.100049i
\(247\) −665.174 + 2914.32i −0.171352 + 0.750744i
\(248\) −98.3023 + 1311.75i −0.0251702 + 0.335873i
\(249\) −1338.59 + 412.901i −0.340682 + 0.105086i
\(250\) −884.797 426.096i −0.223838 0.107795i
\(251\) 1758.09 + 3045.11i 0.442111 + 0.765759i 0.997846 0.0656008i \(-0.0208964\pi\)
−0.555735 + 0.831360i \(0.687563\pi\)
\(252\) 72.1204 124.916i 0.0180284 0.0312261i
\(253\) −5372.62 + 3662.99i −1.33507 + 0.910238i
\(254\) −666.932 2922.02i −0.164752 0.721826i
\(255\) 4229.63 637.515i 1.03871 0.156560i
\(256\) −1167.47 + 1463.97i −0.285028 + 0.357414i
\(257\) −4909.99 −1.19174 −0.595870 0.803081i \(-0.703193\pi\)
−0.595870 + 0.803081i \(0.703193\pi\)
\(258\) 343.016 2194.57i 0.0827722 0.529565i
\(259\) 559.959 0.134340
\(260\) −2723.26 + 3414.86i −0.649574 + 0.814540i
\(261\) 126.427 19.0559i 0.0299834 0.00451926i
\(262\) −22.9577 100.584i −0.00541347 0.0237180i
\(263\) −1553.99 + 1059.49i −0.364347 + 0.248408i −0.731631 0.681701i \(-0.761240\pi\)
0.367283 + 0.930109i \(0.380288\pi\)
\(264\) 1955.81 3387.56i 0.455953 0.789735i
\(265\) 4474.71 + 7750.43i 1.03728 + 1.79662i
\(266\) 134.564 + 64.8027i 0.0310175 + 0.0149372i
\(267\) −4440.95 + 1369.85i −1.01791 + 0.313983i
\(268\) −349.315 + 4661.28i −0.0796186 + 1.06244i
\(269\) −1381.98 + 6054.85i −0.313237 + 1.37238i 0.535932 + 0.844261i \(0.319960\pi\)
−0.849169 + 0.528121i \(0.822897\pi\)
\(270\) 614.999 + 1566.99i 0.138621 + 0.353200i
\(271\) −646.283 8624.05i −0.144867 1.93311i −0.317759 0.948172i \(-0.602930\pi\)
0.172892 0.984941i \(-0.444689\pi\)
\(272\) −1369.03 206.349i −0.305184 0.0459990i
\(273\) 431.429 400.308i 0.0956457 0.0887462i
\(274\) −371.773 + 179.036i −0.0819694 + 0.0394744i
\(275\) 1977.80 + 1348.44i 0.433694 + 0.295687i
\(276\) 2739.11 6979.13i 0.597373 1.52208i
\(277\) 4617.45 + 1424.29i 1.00157 + 0.308944i 0.751822 0.659366i \(-0.229175\pi\)
0.249750 + 0.968310i \(0.419652\pi\)
\(278\) 726.829 + 674.399i 0.156807 + 0.145496i
\(279\) 525.037 + 658.376i 0.112664 + 0.141276i
\(280\) 306.266 + 384.046i 0.0653675 + 0.0819682i
\(281\) −28.6152 26.5510i −0.00607487 0.00563665i 0.677129 0.735864i \(-0.263224\pi\)
−0.683204 + 0.730227i \(0.739414\pi\)
\(282\) −3727.42 1149.76i −0.787108 0.242791i
\(283\) 505.626 1288.31i 0.106206 0.270609i −0.867885 0.496766i \(-0.834521\pi\)
0.974091 + 0.226157i \(0.0726161\pi\)
\(284\) −3869.82 2638.40i −0.808562 0.551268i
\(285\) −4767.35 + 2295.83i −0.990853 + 0.477170i
\(286\) 1568.94 1455.77i 0.324383 0.300984i
\(287\) −100.573 15.1589i −0.0206851 0.00311777i
\(288\) 158.271 + 2111.98i 0.0323827 + 0.432118i
\(289\) −905.798 2307.94i −0.184368 0.469761i
\(290\) −43.0443 + 188.590i −0.00871603 + 0.0381874i
\(291\) 500.387 6677.20i 0.100801 1.34510i
\(292\) 5027.80 1550.87i 1.00764 0.310815i
\(293\) −3338.98 1607.97i −0.665752 0.320609i 0.0703080 0.997525i \(-0.477602\pi\)
−0.736060 + 0.676916i \(0.763316\pi\)
\(294\) 1336.28 + 2314.51i 0.265081 + 0.459133i
\(295\) 3457.76 5989.01i 0.682435 1.18201i
\(296\) −4366.62 + 2977.11i −0.857448 + 0.584598i
\(297\) 731.590 + 3205.30i 0.142933 + 0.626231i
\(298\) 666.679 100.486i 0.129596 0.0195335i
\(299\) 5757.21 7219.31i 1.11354 1.39633i
\(300\) −2759.98 −0.531159
\(301\) 424.072 + 341.983i 0.0812063 + 0.0654869i
\(302\) 1880.88 0.358385
\(303\) 5599.05 7020.99i 1.06157 1.33117i
\(304\) 1693.56 255.263i 0.319514 0.0481590i
\(305\) 2108.24 + 9236.82i 0.395796 + 1.73409i
\(306\) 602.720 410.928i 0.112599 0.0767685i
\(307\) 3415.82 5916.37i 0.635019 1.09989i −0.351492 0.936191i \(-0.614325\pi\)
0.986511 0.163695i \(-0.0523412\pi\)
\(308\) 213.111 + 369.119i 0.0394257 + 0.0682873i
\(309\) −2272.70 1094.47i −0.418411 0.201496i
\(310\) −1217.45 + 375.533i −0.223053 + 0.0688027i
\(311\) −542.599 + 7240.48i −0.0989324 + 1.32016i 0.698002 + 0.716096i \(0.254073\pi\)
−0.796935 + 0.604066i \(0.793546\pi\)
\(312\) −1236.03 + 5415.40i −0.224284 + 0.982650i
\(313\) −2408.75 6137.39i −0.434986 1.10833i −0.965443 0.260614i \(-0.916075\pi\)
0.530457 0.847712i \(-0.322020\pi\)
\(314\) 217.105 + 2897.07i 0.0390190 + 0.520672i
\(315\) 310.945 + 46.8675i 0.0556184 + 0.00838312i
\(316\) 377.176 349.968i 0.0671449 0.0623014i
\(317\) 5054.36 2434.05i 0.895523 0.431261i 0.0712534 0.997458i \(-0.477300\pi\)
0.824270 + 0.566197i \(0.191586\pi\)
\(318\) 4177.77 + 2848.36i 0.736722 + 0.502289i
\(319\) −138.027 + 351.688i −0.0242258 + 0.0617264i
\(320\) −70.6541 21.7939i −0.0123428 0.00380724i
\(321\) −1682.05 1560.71i −0.292470 0.271372i
\(322\) −287.652 360.704i −0.0497832 0.0624262i
\(323\) −1877.06 2353.76i −0.323351 0.405470i
\(324\) −4256.46 3949.41i −0.729845 0.677197i
\(325\) −3248.20 1001.94i −0.554392 0.171007i
\(326\) 1291.73 3291.26i 0.219454 0.559160i
\(327\) −8203.82 5593.27i −1.38738 0.945898i
\(328\) 864.871 416.500i 0.145593 0.0701139i
\(329\) 701.315 650.726i 0.117522 0.109045i
\(330\) 3746.25 + 564.657i 0.624923 + 0.0941919i
\(331\) 663.273 + 8850.76i 0.110141 + 1.46973i 0.729152 + 0.684351i \(0.239915\pi\)
−0.619011 + 0.785382i \(0.712466\pi\)
\(332\) 526.315 + 1341.03i 0.0870038 + 0.221682i
\(333\) −752.842 + 3298.41i −0.123890 + 0.542799i
\(334\) 299.878 4001.60i 0.0491275 0.655562i
\(335\) −9737.76 + 3003.70i −1.58815 + 0.489880i
\(336\) −303.807 146.306i −0.0493275 0.0237549i
\(337\) 4451.66 + 7710.50i 0.719577 + 1.24634i 0.961168 + 0.275965i \(0.0889975\pi\)
−0.241591 + 0.970378i \(0.577669\pi\)
\(338\) −128.162 + 221.983i −0.0206246 + 0.0357228i
\(339\) −3877.01 + 2643.30i −0.621151 + 0.423493i
\(340\) −978.846 4288.61i −0.156133 0.684066i
\(341\) −2460.54 + 370.866i −0.390750 + 0.0588960i
\(342\) −562.633 + 705.520i −0.0889583 + 0.111550i
\(343\) −1318.18 −0.207508
\(344\) −5125.17 412.170i −0.803286 0.0646009i
\(345\) 16345.0 2.55068
\(346\) 1434.19 1798.42i 0.222840 0.279432i
\(347\) 8266.96 1246.04i 1.27894 0.192770i 0.525791 0.850614i \(-0.323770\pi\)
0.753154 + 0.657844i \(0.228531\pi\)
\(348\) −96.9320 424.687i −0.0149313 0.0654184i
\(349\) −3852.54 + 2626.62i −0.590894 + 0.402865i −0.821522 0.570177i \(-0.806874\pi\)
0.230628 + 0.973042i \(0.425922\pi\)
\(350\) −84.9187 + 147.084i −0.0129688 + 0.0224627i
\(351\) −2334.37 4043.24i −0.354983 0.614849i
\(352\) −5638.50 2715.36i −0.853788 0.411162i
\(353\) 3490.01 1076.52i 0.526216 0.162316i −0.0202539 0.999795i \(-0.506447\pi\)
0.546470 + 0.837479i \(0.315971\pi\)
\(354\) 291.987 3896.30i 0.0438388 0.584989i
\(355\) 2272.11 9954.78i 0.339694 1.48830i
\(356\) 1746.11 + 4449.03i 0.259955 + 0.662354i
\(357\) 44.2950 + 591.076i 0.00656678 + 0.0876275i
\(358\) −1093.46 164.812i −0.161428 0.0243313i
\(359\) 4973.89 4615.09i 0.731230 0.678483i −0.223919 0.974608i \(-0.571885\pi\)
0.955149 + 0.296125i \(0.0956946\pi\)
\(360\) −2673.97 + 1287.71i −0.391473 + 0.188524i
\(361\) −2590.08 1765.89i −0.377618 0.257455i
\(362\) −832.144 + 2120.27i −0.120819 + 0.307842i
\(363\) −838.820 258.742i −0.121285 0.0374116i
\(364\) −443.682 411.677i −0.0638881 0.0592795i
\(365\) 7151.84 + 8968.13i 1.02560 + 1.28606i
\(366\) 3337.52 + 4185.11i 0.476652 + 0.597703i
\(367\) −763.691 708.602i −0.108622 0.100787i 0.623992 0.781431i \(-0.285510\pi\)
−0.732614 + 0.680644i \(0.761700\pi\)
\(368\) −5055.46 1559.40i −0.716125 0.220895i
\(369\) 224.508 572.038i 0.0316733 0.0807022i
\(370\) −4229.26 2883.46i −0.594240 0.405146i
\(371\) −1117.33 + 538.080i −0.156359 + 0.0752984i
\(372\) 2103.16 1951.45i 0.293129 0.271984i
\(373\) −9403.77 1417.39i −1.30539 0.196755i −0.540731 0.841195i \(-0.681852\pi\)
−0.764655 + 0.644440i \(0.777090\pi\)
\(374\) 161.084 + 2149.52i 0.0222713 + 0.297190i
\(375\) 1761.40 + 4487.97i 0.242555 + 0.618021i
\(376\) −2009.25 + 8803.09i −0.275582 + 1.20741i
\(377\) 40.0926 534.998i 0.00547711 0.0730870i
\(378\) −222.904 + 68.7567i −0.0303305 + 0.00935573i
\(379\) 6359.13 + 3062.40i 0.861865 + 0.415052i 0.811968 0.583702i \(-0.198396\pi\)
0.0498970 + 0.998754i \(0.484111\pi\)
\(380\) 2720.82 + 4712.60i 0.367303 + 0.636187i
\(381\) −7357.09 + 12742.9i −0.989279 + 1.71348i
\(382\) −1657.96 + 1130.38i −0.222065 + 0.151401i
\(383\) 720.785 + 3157.97i 0.0961630 + 0.421317i 0.999978 0.00660551i \(-0.00210261\pi\)
−0.903815 + 0.427923i \(0.859245\pi\)
\(384\) 8884.08 1339.06i 1.18064 0.177952i
\(385\) −579.347 + 726.478i −0.0766916 + 0.0961682i
\(386\) 1755.52 0.231485
\(387\) −2584.58 + 2038.20i −0.339487 + 0.267719i
\(388\) −6886.10 −0.901002
\(389\) −1432.47 + 1796.27i −0.186708 + 0.234124i −0.866372 0.499399i \(-0.833554\pi\)
0.679664 + 0.733523i \(0.262125\pi\)
\(390\) −5319.85 + 801.838i −0.690720 + 0.104109i
\(391\) 2069.37 + 9066.50i 0.267653 + 1.17267i
\(392\) 5111.55 3484.99i 0.658602 0.449028i
\(393\) −253.252 + 438.645i −0.0325060 + 0.0563020i
\(394\) −821.505 1422.89i −0.105043 0.181939i
\(395\) 1010.63 + 486.695i 0.128735 + 0.0619956i
\(396\) −2460.80 + 759.055i −0.312272 + 0.0963231i
\(397\) −28.8665 + 385.196i −0.00364929 + 0.0486963i −0.998731 0.0503596i \(-0.983963\pi\)
0.995082 + 0.0990560i \(0.0315823\pi\)
\(398\) −437.805 + 1918.15i −0.0551386 + 0.241578i
\(399\) −267.882 682.552i −0.0336112 0.0856400i
\(400\) 145.542 + 1942.12i 0.0181927 + 0.242765i
\(401\) 3577.30 + 539.191i 0.445490 + 0.0671469i 0.367957 0.929843i \(-0.380057\pi\)
0.0775336 + 0.996990i \(0.475295\pi\)
\(402\) −4220.60 + 3916.14i −0.523643 + 0.485869i
\(403\) 3183.61 1533.15i 0.393516 0.189507i
\(404\) −7630.51 5202.39i −0.939683 0.640665i
\(405\) 4624.73 11783.6i 0.567419 1.44576i
\(406\) −25.6146 7.90105i −0.00313111 0.000965819i
\(407\) −7328.49 6799.85i −0.892531 0.828147i
\(408\) −3487.97 4373.77i −0.423235 0.530720i
\(409\) 8.66647 + 10.8674i 0.00104775 + 0.00131384i 0.782355 0.622833i \(-0.214018\pi\)
−0.781307 + 0.624146i \(0.785447\pi\)
\(410\) 681.546 + 632.382i 0.0820955 + 0.0761734i
\(411\) 1935.78 + 597.111i 0.232324 + 0.0716625i
\(412\) −947.747 + 2414.82i −0.113330 + 0.288761i
\(413\) 791.787 + 539.831i 0.0943373 + 0.0643181i
\(414\) 2511.45 1209.45i 0.298142 0.143578i
\(415\) −2302.27 + 2136.19i −0.272323 + 0.252678i
\(416\) 8787.76 + 1324.54i 1.03571 + 0.156108i
\(417\) −363.763 4854.08i −0.0427184 0.570037i
\(418\) −974.186 2482.19i −0.113993 0.290449i
\(419\) 247.117 1082.69i 0.0288125 0.126236i −0.958476 0.285172i \(-0.907949\pi\)
0.987289 + 0.158936i \(0.0508064\pi\)
\(420\) 80.0636 1068.37i 0.00930168 0.124122i
\(421\) 13050.4 4025.53i 1.51078 0.466015i 0.574870 0.818245i \(-0.305053\pi\)
0.935914 + 0.352230i \(0.114576\pi\)
\(422\) −3433.81 1653.63i −0.396102 0.190753i
\(423\) 2890.18 + 5005.94i 0.332211 + 0.575407i
\(424\) 5852.31 10136.5i 0.670314 1.16102i
\(425\) 2828.58 1928.49i 0.322838 0.220107i
\(426\) −1283.73 5624.39i −0.146002 0.639678i
\(427\) −1298.23 + 195.676i −0.147132 + 0.0221766i
\(428\) −1471.28 + 1844.93i −0.166161 + 0.208360i
\(429\) −10507.5 −1.18253
\(430\) −1441.92 4766.65i −0.161711 0.534577i
\(431\) 2564.22 0.286576 0.143288 0.989681i \(-0.454232\pi\)
0.143288 + 0.989681i \(0.454232\pi\)
\(432\) −1667.79 + 2091.35i −0.185745 + 0.232917i
\(433\) 11251.8 1695.94i 1.24879 0.188225i 0.508827 0.860869i \(-0.330079\pi\)
0.739967 + 0.672644i \(0.234841\pi\)
\(434\) −39.2858 172.122i −0.00434512 0.0190372i
\(435\) 784.650 534.965i 0.0864853 0.0589647i
\(436\) −5105.56 + 8843.09i −0.560807 + 0.971347i
\(437\) −5752.05 9962.85i −0.629652 1.09059i
\(438\) 5839.05 + 2811.94i 0.636988 + 0.306757i
\(439\) −6219.36 + 1918.42i −0.676159 + 0.208568i −0.613771 0.789484i \(-0.710348\pi\)
−0.0623887 + 0.998052i \(0.519872\pi\)
\(440\) 655.373 8745.35i 0.0710084 0.947541i
\(441\) 881.273 3861.11i 0.0951596 0.416921i
\(442\) −1118.30 2849.38i −0.120344 0.306631i
\(443\) −69.1969 923.368i −0.00742132 0.0990306i 0.992263 0.124153i \(-0.0396214\pi\)
−0.999684 + 0.0251226i \(0.992002\pi\)
\(444\) 11398.1 + 1717.99i 1.21831 + 0.183631i
\(445\) −7638.06 + 7087.09i −0.813660 + 0.754967i
\(446\) −3498.98 + 1685.02i −0.371483 + 0.178897i
\(447\) −2734.80 1864.56i −0.289378 0.197294i
\(448\) 3.74326 9.53768i 0.000394760 0.00100583i
\(449\) −2574.33 794.077i −0.270580 0.0834628i 0.156496 0.987679i \(-0.449980\pi\)
−0.427076 + 0.904216i \(0.640456\pi\)
\(450\) −752.220 697.958i −0.0787999 0.0731157i
\(451\) 1132.17 + 1419.69i 0.118208 + 0.148228i
\(452\) 3008.73 + 3772.83i 0.313094 + 0.392608i
\(453\) −6768.93 6280.65i −0.702058 0.651415i
\(454\) 6796.58 + 2096.47i 0.702597 + 0.216723i
\(455\) 482.070 1228.29i 0.0496698 0.126557i
\(456\) 5717.87 + 3898.38i 0.587202 + 0.400347i
\(457\) 11639.5 5605.30i 1.19141 0.573752i 0.270194 0.962806i \(-0.412912\pi\)
0.921215 + 0.389054i \(0.127198\pi\)
\(458\) −4356.19 + 4041.96i −0.444436 + 0.412376i
\(459\) 4649.49 + 700.798i 0.472809 + 0.0712646i
\(460\) −1256.15 16762.2i −0.127323 1.69901i
\(461\) 3460.97 + 8818.41i 0.349661 + 0.890921i 0.992199 + 0.124667i \(0.0397862\pi\)
−0.642538 + 0.766254i \(0.722119\pi\)
\(462\) −116.822 + 511.830i −0.0117642 + 0.0515422i
\(463\) −788.031 + 10515.5i −0.0790992 + 1.05550i 0.806555 + 0.591159i \(0.201330\pi\)
−0.885654 + 0.464346i \(0.846290\pi\)
\(464\) −293.728 + 90.6032i −0.0293879 + 0.00906498i
\(465\) 5635.37 + 2713.85i 0.562008 + 0.270649i
\(466\) −853.695 1478.64i −0.0848641 0.146989i
\(467\) −4569.87 + 7915.25i −0.452823 + 0.784313i −0.998560 0.0536437i \(-0.982916\pi\)
0.545737 + 0.837957i \(0.316250\pi\)
\(468\) 3021.48 2060.01i 0.298436 0.203470i
\(469\) −314.228 1376.72i −0.0309375 0.135546i
\(470\) −8647.75 + 1303.44i −0.848704 + 0.127922i
\(471\) 8892.62 11151.0i 0.869959 1.09089i
\(472\) −9044.54 −0.882010
\(473\) −1397.21 9625.42i −0.135822 0.935682i
\(474\) 633.763 0.0614129
\(475\) −2640.45 + 3311.02i −0.255057 + 0.319832i
\(476\) 602.759 90.8513i 0.0580408 0.00874824i
\(477\) −1667.33 7305.03i −0.160045 0.701204i
\(478\) −5249.03 + 3578.73i −0.502270 + 0.342442i
\(479\) −5792.87 + 10033.6i −0.552575 + 0.957087i 0.445513 + 0.895275i \(0.353021\pi\)
−0.998088 + 0.0618118i \(0.980312\pi\)
\(480\) 7865.54 + 13623.5i 0.747940 + 1.29547i
\(481\) 12790.6 + 6159.64i 1.21248 + 0.583899i
\(482\) 5480.74 1690.59i 0.517928 0.159759i
\(483\) −169.262 + 2258.64i −0.0159455 + 0.212778i
\(484\) −200.881 + 880.116i −0.0188656 + 0.0826556i
\(485\) −5484.61 13974.6i −0.513492 1.30836i
\(486\) −290.866 3881.34i −0.0271481 0.362266i
\(487\) −13354.4 2012.86i −1.24260 0.187292i −0.505352 0.862913i \(-0.668637\pi\)
−0.737249 + 0.675621i \(0.763875\pi\)
\(488\) 9083.36 8428.13i 0.842591 0.781810i
\(489\) −15638.9 + 7531.31i −1.44625 + 0.696478i
\(490\) 4950.75 + 3375.37i 0.456433 + 0.311191i
\(491\) −581.859 + 1482.55i −0.0534805 + 0.136266i −0.955117 0.296228i \(-0.904271\pi\)
0.901637 + 0.432494i \(0.142366\pi\)
\(492\) −2000.67 617.125i −0.183328 0.0565491i
\(493\) 396.084 + 367.512i 0.0361840 + 0.0335739i
\(494\) 2360.88 + 2960.46i 0.215023 + 0.269630i
\(495\) −3500.38 4389.34i −0.317839 0.398558i
\(496\) −1484.08 1377.03i −0.134350 0.124658i
\(497\) 1352.08 + 417.060i 0.122030 + 0.0376413i
\(498\) −648.281 + 1651.79i −0.0583337 + 0.148632i
\(499\) 10919.0 + 7444.48i 0.979566 + 0.667857i 0.943458 0.331491i \(-0.107552\pi\)
0.0361075 + 0.999348i \(0.488504\pi\)
\(500\) 4467.16 2151.27i 0.399555 0.192416i
\(501\) −14441.4 + 13399.7i −1.28781 + 1.19492i
\(502\) 4404.28 + 663.838i 0.391579 + 0.0590210i
\(503\) 199.825 + 2666.49i 0.0177133 + 0.236367i 0.999032 + 0.0439802i \(0.0140039\pi\)
−0.981319 + 0.192387i \(0.938377\pi\)
\(504\) −150.253 382.838i −0.0132794 0.0338352i
\(505\) 4480.15 19628.8i 0.394781 1.72965i
\(506\) −615.541 + 8213.82i −0.0540793 + 0.721638i
\(507\) 1202.48 370.917i 0.105334 0.0324911i
\(508\) 13633.5 + 6565.57i 1.19073 + 0.573425i
\(509\) −4267.87 7392.17i −0.371650 0.643717i 0.618169 0.786045i \(-0.287875\pi\)
−0.989820 + 0.142328i \(0.954541\pi\)
\(510\) 2709.14 4692.37i 0.235221 0.407415i
\(511\) −1313.33 + 895.410i −0.113695 + 0.0775159i
\(512\) −2044.05 8955.55i −0.176435 0.773014i
\(513\) −5751.63 + 866.919i −0.495011 + 0.0746110i
\(514\) −3877.85 + 4862.67i −0.332772 + 0.417283i
\(515\) −5655.46 −0.483902
\(516\) 7582.86 + 8262.21i 0.646932 + 0.704890i
\(517\) −17080.6 −1.45300
\(518\) 442.249 554.562i 0.0375121 0.0470387i
\(519\) −11166.7 + 1683.11i −0.944438 + 0.142351i
\(520\) 2771.19 + 12141.4i 0.233701 + 1.02391i
\(521\) 6169.60 4206.36i 0.518800 0.353712i −0.275438 0.961319i \(-0.588823\pi\)
0.794238 + 0.607607i \(0.207870\pi\)
\(522\) 80.9785 140.259i 0.00678991 0.0117605i
\(523\) −4095.29 7093.24i −0.342398 0.593051i 0.642479 0.766303i \(-0.277906\pi\)
−0.984878 + 0.173252i \(0.944573\pi\)
\(524\) 469.305 + 226.005i 0.0391253 + 0.0188418i
\(525\) 796.751 245.765i 0.0662344 0.0204306i
\(526\) −178.041 + 2375.79i −0.0147585 + 0.196938i
\(527\) −791.891 + 3469.50i −0.0654560 + 0.286781i
\(528\) 2199.43 + 5604.06i 0.181284 + 0.461905i
\(529\) 1746.38 + 23303.9i 0.143534 + 1.91533i
\(530\) 11209.8 + 1689.61i 0.918722 + 0.138475i
\(531\) −4244.38 + 3938.21i −0.346874 + 0.321852i
\(532\) −679.388 + 327.176i −0.0553669 + 0.0266633i
\(533\) −2130.54 1452.57i −0.173140 0.118045i
\(534\) −2150.75 + 5480.03i −0.174293 + 0.444090i
\(535\) −4915.92 1516.36i −0.397259 0.122538i
\(536\) 9769.95 + 9065.19i 0.787309 + 0.730516i
\(537\) 3384.82 + 4244.43i 0.272003 + 0.341081i
\(538\) 4905.02 + 6150.70i 0.393068 + 0.492892i
\(539\) 8578.70 + 7959.87i 0.685549 + 0.636096i
\(540\) −8121.34 2505.10i −0.647198 0.199634i
\(541\) 4408.28 11232.1i 0.350327 0.892618i −0.641742 0.766921i \(-0.721788\pi\)
0.992069 0.125697i \(-0.0401168\pi\)
\(542\) −9051.35 6171.11i −0.717323 0.489062i
\(543\) 10074.8 4851.76i 0.796225 0.383442i
\(544\) −6561.08 + 6087.79i −0.517103 + 0.479801i
\(545\) −22012.5 3317.85i −1.73011 0.260773i
\(546\) −55.7123 743.429i −0.00436679 0.0582707i
\(547\) −8346.50 21266.5i −0.652414 1.66232i −0.745368 0.666653i \(-0.767726\pi\)
0.0929541 0.995670i \(-0.470369\pi\)
\(548\) 463.582 2031.09i 0.0361373 0.158328i
\(549\) 592.789 7910.22i 0.0460831 0.614936i
\(550\) 2897.48 893.755i 0.224635 0.0692906i
\(551\) −602.211 290.009i −0.0465609 0.0224225i
\(552\) −10688.5 18513.0i −0.824154 1.42748i
\(553\) −77.7198 + 134.615i −0.00597646 + 0.0103515i
\(554\) 5057.37 3448.05i 0.387846 0.264429i
\(555\) 5591.85 + 24499.5i 0.427677 + 1.87377i
\(556\) −4950.03 + 746.097i −0.377568 + 0.0569093i
\(557\) −9611.07 + 12051.9i −0.731121 + 0.916797i −0.998910 0.0466811i \(-0.985136\pi\)
0.267789 + 0.963478i \(0.413707\pi\)
\(558\) 1066.70 0.0809264
\(559\) 5924.82 + 12476.5i 0.448288 + 0.944003i
\(560\) −756.006 −0.0570484
\(561\) 6598.00 8273.63i 0.496556 0.622661i
\(562\) −48.8950 + 7.36974i −0.00366995 + 0.000553156i
\(563\) −3882.56 17010.6i −0.290640 1.27338i −0.883637 0.468172i \(-0.844913\pi\)
0.592998 0.805204i \(-0.297944\pi\)
\(564\) 16271.9 11094.0i 1.21484 0.828265i
\(565\) −5260.14 + 9110.84i −0.391674 + 0.678400i
\(566\) −876.560 1518.25i −0.0650964 0.112750i
\(567\) 1580.43 + 761.096i 0.117058 + 0.0563722i
\(568\) −12761.0 + 3936.25i −0.942676 + 0.290777i
\(569\) 1176.08 15693.8i 0.0866503 1.15627i −0.769187 0.639023i \(-0.779339\pi\)
0.855838 0.517245i \(-0.173042\pi\)
\(570\) −1491.48 + 6534.62i −0.109599 + 0.480184i
\(571\) 2551.68 + 6501.58i 0.187013 + 0.476502i 0.993375 0.114921i \(-0.0366616\pi\)
−0.806361 + 0.591423i \(0.798566\pi\)
\(572\) 807.526 + 10775.7i 0.0590286 + 0.787682i
\(573\) 9741.29 + 1468.26i 0.710206 + 0.107046i
\(574\) −94.4437 + 87.6310i −0.00686760 + 0.00637221i
\(575\) 11786.3 5675.97i 0.854820 0.411660i
\(576\) 51.1486 + 34.8725i 0.00369999 + 0.00252261i
\(577\) 817.490 2082.93i 0.0589819 0.150283i −0.898345 0.439291i \(-0.855230\pi\)
0.957327 + 0.289007i \(0.0933251\pi\)
\(578\) −3001.08 925.711i −0.215966 0.0666168i
\(579\) −6317.79 5862.05i −0.453468 0.420757i
\(580\) −608.923 763.566i −0.0435934 0.0546644i
\(581\) −271.349 340.261i −0.0193760 0.0242968i
\(582\) −6217.65 5769.13i −0.442835 0.410891i
\(583\) 21157.3 + 6526.17i 1.50300 + 0.463613i
\(584\) 5480.86 13965.0i 0.388356 0.989514i
\(585\) 6587.09 + 4491.00i 0.465543 + 0.317402i
\(586\) −4229.56 + 2036.85i −0.298159 + 0.143586i
\(587\) 9761.75 9057.58i 0.686390 0.636877i −0.257831 0.966190i \(-0.583008\pi\)
0.944221 + 0.329314i \(0.106817\pi\)
\(588\) −13342.6 2011.07i −0.935778 0.141046i
\(589\) −328.985 4390.00i −0.0230146 0.307108i
\(590\) −3200.40 8154.48i −0.223319 0.569008i
\(591\) −1794.88 + 7863.90i −0.124927 + 0.547339i
\(592\) 607.843 8111.10i 0.0421997 0.563115i
\(593\) 14603.3 4504.53i 1.01128 0.311937i 0.255529 0.966801i \(-0.417750\pi\)
0.755747 + 0.654864i \(0.227274\pi\)
\(594\) 3752.21 + 1806.97i 0.259184 + 0.124816i
\(595\) 664.456 + 1150.87i 0.0457815 + 0.0792960i
\(596\) −1701.98 + 2947.91i −0.116973 + 0.202602i
\(597\) 7980.69 5441.14i 0.547116 0.373017i
\(598\) −2602.76 11403.4i −0.177985 0.779801i
\(599\) −8211.05 + 1237.62i −0.560091 + 0.0844201i −0.422986 0.906136i \(-0.639018\pi\)
−0.137105 + 0.990556i \(0.543780\pi\)
\(600\) −4906.50 + 6152.56i −0.333845 + 0.418629i
\(601\) 7669.50 0.520541 0.260271 0.965536i \(-0.416188\pi\)
0.260271 + 0.965536i \(0.416188\pi\)
\(602\) 673.613 149.891i 0.0456054 0.0101480i
\(603\) 8531.99 0.576201
\(604\) −5920.76 + 7424.40i −0.398862 + 0.500157i
\(605\) −1946.09 + 293.326i −0.130777 + 0.0197114i
\(606\) −2531.26 11090.2i −0.169679 0.743412i
\(607\) −4740.95 + 3232.33i −0.317017 + 0.216139i −0.711365 0.702823i \(-0.751923\pi\)
0.394348 + 0.918961i \(0.370970\pi\)
\(608\) 5536.01 9588.64i 0.369268 0.639590i
\(609\) 65.7989 + 113.967i 0.00437817 + 0.00758322i
\(610\) 10812.9 + 5207.20i 0.717705 + 0.345628i
\(611\) 23177.6 7149.34i 1.53464 0.473374i
\(612\) −275.229 + 3672.67i −0.0181789 + 0.242580i
\(613\) 3497.90 15325.3i 0.230472 1.00976i −0.718778 0.695239i \(-0.755298\pi\)
0.949250 0.314523i \(-0.101844\pi\)
\(614\) −3161.58 8055.57i −0.207803 0.529473i
\(615\) −341.100 4551.66i −0.0223650 0.298440i
\(616\) 1201.69 + 181.126i 0.0786000 + 0.0118470i
\(617\) 17374.8 16121.4i 1.13368 1.05190i 0.135552 0.990770i \(-0.456719\pi\)
0.998130 0.0611323i \(-0.0194711\pi\)
\(618\) −2878.87 + 1386.39i −0.187387 + 0.0902408i
\(619\) −12421.0 8468.48i −0.806528 0.549882i 0.0884033 0.996085i \(-0.471824\pi\)
−0.894932 + 0.446203i \(0.852776\pi\)
\(620\) 2350.03 5987.78i 0.152225 0.387863i
\(621\) 17169.2 + 5296.01i 1.10947 + 0.342225i
\(622\) 6742.16 + 6255.81i 0.434624 + 0.403272i
\(623\) −900.235 1128.86i −0.0578927 0.0725952i
\(624\) −5330.20 6683.86i −0.341953 0.428796i
\(625\) 14282.6 + 13252.3i 0.914084 + 0.848146i
\(626\) −7980.64 2461.70i −0.509537 0.157171i
\(627\) −4782.64 + 12186.0i −0.304625 + 0.776173i
\(628\) −12119.1 8262.64i −0.770069 0.525024i
\(629\) −12881.8 + 6203.54i −0.816583 + 0.393246i
\(630\) 291.997 270.933i 0.0184657 0.0171337i
\(631\) −20379.6 3071.74i −1.28574 0.193794i −0.529623 0.848233i \(-0.677667\pi\)
−0.756115 + 0.654439i \(0.772905\pi\)
\(632\) −109.633 1462.95i −0.00690025 0.0920775i
\(633\) 6835.81 + 17417.4i 0.429224 + 1.09365i
\(634\) 1581.28 6928.02i 0.0990544 0.433986i
\(635\) −2465.29 + 32897.1i −0.154066 + 2.05587i
\(636\) −24394.4 + 7524.69i −1.52092 + 0.469140i
\(637\) −14972.6 7210.45i −0.931300 0.448490i
\(638\) 239.286 + 414.455i 0.0148486 + 0.0257186i
\(639\) −4274.49 + 7403.63i −0.264626 + 0.458346i
\(640\) 16643.1 11347.0i 1.02793 0.700830i
\(641\) 3323.26 + 14560.2i 0.204775 + 0.897180i 0.967981 + 0.251024i \(0.0807673\pi\)
−0.763205 + 0.646156i \(0.776376\pi\)
\(642\) −2874.13 + 433.206i −0.176687 + 0.0266312i
\(643\) −1054.76 + 1322.63i −0.0646900 + 0.0811187i −0.813124 0.582091i \(-0.802235\pi\)
0.748434 + 0.663210i \(0.230806\pi\)
\(644\) 2329.30 0.142527
\(645\) −10727.7 + 21969.2i −0.654885 + 1.34114i
\(646\) −3813.55 −0.232264
\(647\) 3699.65 4639.22i 0.224804 0.281896i −0.656619 0.754222i \(-0.728014\pi\)
0.881424 + 0.472326i \(0.156586\pi\)
\(648\) −16370.9 + 2467.51i −0.992451 + 0.149588i
\(649\) −3807.13 16680.1i −0.230266 1.00886i
\(650\) −3557.66 + 2425.57i −0.214682 + 0.146367i
\(651\) −433.372 + 750.622i −0.0260909 + 0.0451908i
\(652\) 8925.45 + 15459.3i 0.536116 + 0.928580i
\(653\) −28822.1 13880.0i −1.72725 0.831801i −0.987246 0.159203i \(-0.949108\pi\)
−0.740007 0.672599i \(-0.765178\pi\)
\(654\) −12018.6 + 3707.26i −0.718602 + 0.221659i
\(655\) −84.8623 + 1132.41i −0.00506236 + 0.0675525i
\(656\) −328.752 + 1440.36i −0.0195665 + 0.0857263i
\(657\) −3508.66 8939.93i −0.208350 0.530867i
\(658\) −90.5639 1208.49i −0.00536557 0.0715986i
\(659\) −1333.50 200.993i −0.0788253 0.0118810i 0.109511 0.993986i \(-0.465071\pi\)
−0.188336 + 0.982105i \(0.560310\pi\)
\(660\) −14021.6 + 13010.2i −0.826956 + 0.767303i
\(661\) 12334.1 5939.80i 0.725781 0.349518i −0.0342421 0.999414i \(-0.510902\pi\)
0.760023 + 0.649896i \(0.225187\pi\)
\(662\) 9289.30 + 6333.34i 0.545376 + 0.371831i
\(663\) −5490.14 + 13988.6i −0.321598 + 0.819418i
\(664\) 3925.07 + 1210.72i 0.229401 + 0.0707607i
\(665\) −1205.08 1118.15i −0.0702723 0.0652032i
\(666\) 2672.04 + 3350.63i 0.155465 + 0.194946i
\(667\) 1287.32 + 1614.25i 0.0747304 + 0.0937089i
\(668\) 14851.6 + 13780.2i 0.860216 + 0.798164i
\(669\) 18218.9 + 5619.77i 1.05289 + 0.324773i
\(670\) −4716.01 + 12016.2i −0.271933 + 0.692875i
\(671\) 19366.8 + 13204.0i 1.11423 + 0.759667i
\(672\) −1964.02 + 945.823i −0.112744 + 0.0542945i
\(673\) −2313.31 + 2146.44i −0.132499 + 0.122941i −0.743639 0.668582i \(-0.766902\pi\)
0.611140 + 0.791523i \(0.290711\pi\)
\(674\) 11152.1 + 1680.90i 0.637331 + 0.0960622i
\(675\) −494.286 6595.79i −0.0281853 0.376107i
\(676\) −472.799 1204.67i −0.0269003 0.0685408i
\(677\) −1433.03 + 6278.52i −0.0813528 + 0.356430i −0.999177 0.0405566i \(-0.987087\pi\)
0.917824 + 0.396987i \(0.129944\pi\)
\(678\) −444.188 + 5927.28i −0.0251607 + 0.335746i
\(679\) 1987.88 613.179i 0.112353 0.0346563i
\(680\) −11300.3 5441.93i −0.637274 0.306895i
\(681\) −17459.1 30240.1i −0.982429 1.70162i
\(682\) −1576.01 + 2729.73i −0.0884876 + 0.153265i
\(683\) −16090.8 + 10970.5i −0.901460 + 0.614605i −0.922847 0.385166i \(-0.874144\pi\)
0.0213871 + 0.999771i \(0.493192\pi\)
\(684\) −1013.81 4441.78i −0.0566723 0.248298i
\(685\) 4491.09 676.924i 0.250505 0.0377575i
\(686\) −1041.08 + 1305.48i −0.0579428 + 0.0726580i
\(687\) 29174.1 1.62018
\(688\) 5414.01 5771.53i 0.300011 0.319822i
\(689\) −31441.2 −1.73848
\(690\) 12909.1 16187.5i 0.712232 0.893110i
\(691\) 4405.04 663.953i 0.242512 0.0365528i −0.0266616 0.999645i \(-0.508488\pi\)
0.269173 + 0.963092i \(0.413250\pi\)
\(692\) 2584.26 + 11322.4i 0.141964 + 0.621983i
\(693\) 642.791 438.247i 0.0352346 0.0240226i
\(694\) 5295.11 9171.39i 0.289625 0.501645i
\(695\) −5456.70 9451.28i −0.297819 0.515838i
\(696\) −1119.03 538.897i −0.0609436 0.0293489i
\(697\) 2481.60 765.472i 0.134860 0.0415987i
\(698\) −441.386 + 5889.88i −0.0239351 + 0.319392i
\(699\) −1865.22 + 8172.04i −0.100928 + 0.442196i
\(700\) −313.271 798.201i −0.0169150 0.0430988i
\(701\) −2347.97 31331.5i −0.126507 1.68812i −0.594267 0.804268i \(-0.702558\pi\)
0.467760 0.883856i \(-0.345061\pi\)
\(702\) −5847.92 881.432i −0.314410 0.0473896i
\(703\) 12965.4 12030.2i 0.695591 0.645414i
\(704\) −164.811 + 79.3686i −0.00882320 + 0.00424903i
\(705\) 35474.2 + 24185.9i 1.89508 + 1.29205i
\(706\) 1690.21 4306.59i 0.0901020 0.229576i
\(707\) 2666.02 + 822.359i 0.141819 + 0.0437454i
\(708\) 14460.8 + 13417.6i 0.767612 + 0.712239i
\(709\) 10814.0 + 13560.3i 0.572817 + 0.718290i 0.980869 0.194669i \(-0.0623632\pi\)
−0.408052 + 0.912959i \(0.633792\pi\)
\(710\) −8064.35 10112.4i −0.426267 0.534522i
\(711\) −688.450 638.789i −0.0363135 0.0336940i
\(712\) 13021.9 + 4016.72i 0.685416 + 0.211423i
\(713\) −4968.18 + 12658.7i −0.260953 + 0.664898i
\(714\) 620.362 + 422.956i 0.0325161 + 0.0221691i
\(715\) −21224.9 + 10221.4i −1.11016 + 0.534625i
\(716\) 4092.64 3797.41i 0.213616 0.198207i
\(717\) 30840.5 + 4648.45i 1.60636 + 0.242119i
\(718\) −642.299 8570.89i −0.0333850 0.445491i
\(719\) −2.49061 6.34598i −0.000129185 0.000329159i 0.930809 0.365506i \(-0.119104\pi\)
−0.930938 + 0.365176i \(0.881009\pi\)
\(720\) 1016.42 4453.22i 0.0526107 0.230503i
\(721\) 58.5655 781.503i 0.00302510 0.0403671i
\(722\) −3794.48 + 1170.44i −0.195590 + 0.0603315i
\(723\) −25369.4 12217.3i −1.30498 0.628445i
\(724\) −5749.88 9959.08i −0.295155 0.511224i
\(725\) 380.034 658.238i 0.0194677 0.0337191i
\(726\) −918.737 + 626.384i −0.0469663 + 0.0320211i
\(727\) −3159.87 13844.3i −0.161201 0.706267i −0.989325 0.145723i \(-0.953449\pi\)
0.828124 0.560544i \(-0.189408\pi\)
\(728\) −1706.46 + 257.207i −0.0868757 + 0.0130944i
\(729\) 3370.15 4226.03i 0.171221 0.214705i
\(730\) 14530.1 0.736690
\(731\) −13544.4 3169.16i −0.685305 0.160350i
\(732\) −27026.0 −1.36463
\(733\) −17034.3 + 21360.3i −0.858356 + 1.07634i 0.137947 + 0.990440i \(0.455950\pi\)
−0.996303 + 0.0859053i \(0.972622\pi\)
\(734\) −1304.93 + 196.686i −0.0656208 + 0.00989075i
\(735\) −6545.79 28679.0i −0.328497 1.43924i
\(736\) −28258.6 + 19266.4i −1.41525 + 0.964902i
\(737\) −12605.7 + 21833.7i −0.630037 + 1.09126i
\(738\) −389.211 674.133i −0.0194133 0.0336249i
\(739\) 3288.32 + 1583.57i 0.163684 + 0.0788262i 0.513932 0.857831i \(-0.328188\pi\)
−0.350248 + 0.936657i \(0.613903\pi\)
\(740\) 24695.1 7617.43i 1.22677 0.378409i
\(741\) 1389.21 18537.7i 0.0688714 0.919025i
\(742\) −349.563 + 1531.53i −0.0172949 + 0.0757741i
\(743\) 8277.63 + 21091.1i 0.408717 + 1.04139i 0.975981 + 0.217858i \(0.0699069\pi\)
−0.567263 + 0.823536i \(0.691998\pi\)
\(744\) −611.322 8157.52i −0.0301238 0.401975i
\(745\) −7338.03 1106.03i −0.360865 0.0543917i
\(746\) −8830.71 + 8193.70i −0.433399 + 0.402135i
\(747\) 2369.11 1140.90i 0.116039 0.0558815i
\(748\) −8991.89 6130.57i −0.439540 0.299674i
\(749\) 260.446 663.605i 0.0127056 0.0323733i
\(750\) 5835.85 + 1800.12i 0.284127 + 0.0876415i
\(751\) 7593.83 + 7046.05i 0.368979 + 0.342362i 0.842769 0.538276i \(-0.180924\pi\)
−0.473790 + 0.880638i \(0.657115\pi\)
\(752\) −8664.58 10865.0i −0.420166 0.526872i
\(753\) −13633.5 17095.9i −0.659804 0.827368i
\(754\) −498.177 462.241i −0.0240617 0.0223260i
\(755\) −19782.7 6102.16i −0.953599 0.294146i
\(756\) 430.269 1096.31i 0.0206994 0.0527412i
\(757\) −1311.90