Properties

Label 43.4.g.a.13.2
Level 43
Weight 4
Character 43.13
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 13.2
Character \(\chi\) \(=\) 43.13
Dual form 43.4.g.a.10.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08942 + 4.77305i) q^{2} +(-6.48010 + 6.01265i) q^{3} +(-14.3874 - 6.92863i) q^{4} +(20.4076 + 3.07594i) q^{5} +(-21.6392 - 37.4801i) q^{6} +(-5.26876 + 9.12575i) q^{7} +(24.3248 - 30.5023i) q^{8} +(3.82197 - 51.0006i) q^{9} +O(q^{10})\) \(q+(-1.08942 + 4.77305i) q^{2} +(-6.48010 + 6.01265i) q^{3} +(-14.3874 - 6.92863i) q^{4} +(20.4076 + 3.07594i) q^{5} +(-21.6392 - 37.4801i) q^{6} +(-5.26876 + 9.12575i) q^{7} +(24.3248 - 30.5023i) q^{8} +(3.82197 - 51.0006i) q^{9} +(-36.9140 + 94.0553i) q^{10} +(-7.67147 + 3.69438i) q^{11} +(134.891 - 41.6085i) q^{12} +(4.91165 + 12.5147i) q^{13} +(-37.8178 - 35.0898i) q^{14} +(-150.738 + 102.771i) q^{15} +(39.4380 + 49.4537i) q^{16} +(-46.0361 + 6.93883i) q^{17} +(239.265 + 73.8035i) q^{18} +(1.12481 + 15.0095i) q^{19} +(-272.301 - 185.651i) q^{20} +(-20.7279 - 90.8150i) q^{21} +(-9.27605 - 40.6411i) q^{22} +(125.014 + 85.2334i) q^{23} +(25.7728 + 343.915i) q^{24} +(287.560 + 88.7006i) q^{25} +(-65.0840 + 9.80984i) q^{26} +(133.070 + 166.864i) q^{27} +(139.033 - 94.7910i) q^{28} +(-36.7826 - 34.1293i) q^{29} +(-326.316 - 831.439i) q^{30} +(-114.166 + 35.2154i) q^{31} +(2.19338 - 1.05628i) q^{32} +(27.4988 - 70.0658i) q^{33} +(17.0332 - 227.292i) q^{34} +(-135.593 + 170.028i) q^{35} +(-408.353 + 707.288i) q^{36} +(-77.8678 - 134.871i) q^{37} +(-72.8665 - 10.9829i) q^{38} +(-107.074 - 51.5643i) q^{39} +(590.233 - 547.656i) q^{40} +(-56.9464 + 249.498i) q^{41} +456.046 q^{42} +(184.251 + 213.445i) q^{43} +135.970 q^{44} +(234.872 - 1029.04i) q^{45} +(-543.016 + 503.845i) q^{46} +(-42.2355 - 20.3395i) q^{47} +(-552.910 - 83.3377i) q^{48} +(115.980 + 200.884i) q^{49} +(-736.646 + 1275.91i) q^{50} +(256.598 - 321.763i) q^{51} +(16.0435 - 214.085i) q^{52} +(27.1857 - 69.2679i) q^{53} +(-941.419 + 453.364i) q^{54} +(-167.920 + 51.7963i) q^{55} +(150.195 + 382.692i) q^{56} +(-97.5357 - 90.4999i) q^{57} +(202.973 - 138.384i) q^{58} +(-531.366 - 666.312i) q^{59} +(2880.79 - 434.209i) q^{60} +(878.679 + 271.036i) q^{61} +(-43.7110 - 583.283i) q^{62} +(445.282 + 303.588i) q^{63} +(115.254 + 504.962i) q^{64} +(61.7403 + 270.502i) q^{65} +(304.470 + 207.584i) q^{66} +(2.74287 + 36.6010i) q^{67} +(710.419 + 219.135i) q^{68} +(-1322.58 + 199.347i) q^{69} +(-663.835 - 832.423i) q^{70} +(670.963 - 457.455i) q^{71} +(-1462.67 - 1357.16i) q^{72} +(235.322 + 599.591i) q^{73} +(728.577 - 224.736i) q^{74} +(-2396.74 + 1154.21i) q^{75} +(87.8121 - 223.742i) q^{76} +(6.70506 - 89.4727i) q^{77} +(362.768 - 454.896i) q^{78} +(254.137 - 440.178i) q^{79} +(652.716 + 1130.54i) q^{80} +(-500.144 - 75.3847i) q^{81} +(-1128.83 - 543.616i) q^{82} +(-37.4012 + 34.7032i) q^{83} +(-331.001 + 1450.21i) q^{84} -960.828 q^{85} +(-1219.51 + 646.907i) q^{86} +443.563 q^{87} +(-73.9196 + 323.863i) q^{88} +(652.879 - 605.783i) q^{89} +(4655.80 + 2242.11i) q^{90} +(-140.084 - 21.1143i) q^{91} +(-1208.09 - 2092.47i) q^{92} +(528.066 - 914.638i) q^{93} +(143.094 - 179.434i) q^{94} +(-23.2138 + 309.767i) q^{95} +(-7.86229 + 20.0328i) q^{96} +(-709.445 + 341.651i) q^{97} +(-1085.18 + 334.734i) q^{98} +(159.096 + 405.370i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08942 + 4.77305i −0.385167 + 1.68753i 0.295828 + 0.955241i \(0.404404\pi\)
−0.680995 + 0.732288i \(0.738453\pi\)
\(3\) −6.48010 + 6.01265i −1.24710 + 1.15714i −0.265924 + 0.963994i \(0.585677\pi\)
−0.981171 + 0.193141i \(0.938132\pi\)
\(4\) −14.3874 6.92863i −1.79843 0.866079i
\(5\) 20.4076 + 3.07594i 1.82531 + 0.275121i 0.970019 0.243031i \(-0.0781416\pi\)
0.855289 + 0.518152i \(0.173380\pi\)
\(6\) −21.6392 37.4801i −1.47236 2.55020i
\(7\) −5.26876 + 9.12575i −0.284486 + 0.492744i −0.972484 0.232968i \(-0.925156\pi\)
0.687998 + 0.725712i \(0.258490\pi\)
\(8\) 24.3248 30.5023i 1.07501 1.34803i
\(9\) 3.82197 51.0006i 0.141554 1.88891i
\(10\) −36.9140 + 94.0553i −1.16732 + 2.97429i
\(11\) −7.67147 + 3.69438i −0.210276 + 0.101264i −0.536057 0.844182i \(-0.680087\pi\)
0.325781 + 0.945445i \(0.394373\pi\)
\(12\) 134.891 41.6085i 3.24498 1.00095i
\(13\) 4.91165 + 12.5147i 0.104788 + 0.266996i 0.973646 0.228067i \(-0.0732404\pi\)
−0.868857 + 0.495062i \(0.835145\pi\)
\(14\) −37.8178 35.0898i −0.721946 0.669868i
\(15\) −150.738 + 102.771i −2.59468 + 1.76903i
\(16\) 39.4380 + 49.4537i 0.616219 + 0.772714i
\(17\) −46.0361 + 6.93883i −0.656788 + 0.0989949i −0.468977 0.883210i \(-0.655377\pi\)
−0.187811 + 0.982205i \(0.560139\pi\)
\(18\) 239.265 + 73.8035i 3.13307 + 0.966425i
\(19\) 1.12481 + 15.0095i 0.0135815 + 0.181232i 0.999869 + 0.0161953i \(0.00515534\pi\)
−0.986287 + 0.165037i \(0.947226\pi\)
\(20\) −272.301 185.651i −3.04441 2.07565i
\(21\) −20.7279 90.8150i −0.215391 0.943688i
\(22\) −9.27605 40.6411i −0.0898937 0.393850i
\(23\) 125.014 + 85.2334i 1.13336 + 0.772712i 0.976630 0.214929i \(-0.0689519\pi\)
0.156731 + 0.987641i \(0.449904\pi\)
\(24\) 25.7728 + 343.915i 0.219202 + 2.92505i
\(25\) 287.560 + 88.7006i 2.30048 + 0.709605i
\(26\) −65.0840 + 9.80984i −0.490924 + 0.0739949i
\(27\) 133.070 + 166.864i 0.948491 + 1.18937i
\(28\) 139.033 94.7910i 0.938384 0.639779i
\(29\) −36.7826 34.1293i −0.235530 0.218540i 0.553573 0.832800i \(-0.313264\pi\)
−0.789103 + 0.614261i \(0.789454\pi\)
\(30\) −326.316 831.439i −1.98589 5.05998i
\(31\) −114.166 + 35.2154i −0.661444 + 0.204028i −0.607261 0.794503i \(-0.707732\pi\)
−0.0541830 + 0.998531i \(0.517255\pi\)
\(32\) 2.19338 1.05628i 0.0121168 0.00583515i
\(33\) 27.4988 70.0658i 0.145058 0.369603i
\(34\) 17.0332 227.292i 0.0859167 1.14648i
\(35\) −135.593 + 170.028i −0.654839 + 0.821142i
\(36\) −408.353 + 707.288i −1.89052 + 3.27448i
\(37\) −77.8678 134.871i −0.345983 0.599261i 0.639549 0.768751i \(-0.279121\pi\)
−0.985532 + 0.169490i \(0.945788\pi\)
\(38\) −72.8665 10.9829i −0.311066 0.0468857i
\(39\) −107.074 51.5643i −0.439631 0.211715i
\(40\) 590.233 547.656i 2.33310 2.16480i
\(41\) −56.9464 + 249.498i −0.216915 + 0.950368i 0.742826 + 0.669484i \(0.233485\pi\)
−0.959742 + 0.280884i \(0.909372\pi\)
\(42\) 456.046 1.67546
\(43\) 184.251 + 213.445i 0.653441 + 0.756978i
\(44\) 135.970 0.465869
\(45\) 234.872 1029.04i 0.778059 3.40890i
\(46\) −543.016 + 503.845i −1.74051 + 1.61496i
\(47\) −42.2355 20.3395i −0.131078 0.0631239i 0.367195 0.930144i \(-0.380318\pi\)
−0.498273 + 0.867020i \(0.666032\pi\)
\(48\) −552.910 83.3377i −1.66262 0.250599i
\(49\) 115.980 + 200.884i 0.338135 + 0.585668i
\(50\) −736.646 + 1275.91i −2.08355 + 3.60881i
\(51\) 256.598 321.763i 0.704527 0.883449i
\(52\) 16.0435 214.085i 0.0427852 0.570928i
\(53\) 27.1857 69.2679i 0.0704573 0.179522i −0.891307 0.453400i \(-0.850211\pi\)
0.961765 + 0.273877i \(0.0883063\pi\)
\(54\) −941.419 + 453.364i −2.37242 + 1.14250i
\(55\) −167.920 + 51.7963i −0.411678 + 0.126986i
\(56\) 150.195 + 382.692i 0.358405 + 0.913202i
\(57\) −97.5357 90.4999i −0.226648 0.210298i
\(58\) 202.973 138.384i 0.459510 0.313289i
\(59\) −531.366 666.312i −1.17251 1.47028i −0.852395 0.522899i \(-0.824851\pi\)
−0.320113 0.947379i \(-0.603721\pi\)
\(60\) 2880.79 434.209i 6.19848 0.934270i
\(61\) 878.679 + 271.036i 1.84432 + 0.568896i 0.999423 + 0.0339600i \(0.0108119\pi\)
0.844893 + 0.534936i \(0.179664\pi\)
\(62\) −43.7110 583.283i −0.0895372 1.19479i
\(63\) 445.282 + 303.588i 0.890481 + 0.607119i
\(64\) 115.254 + 504.962i 0.225106 + 0.986253i
\(65\) 61.7403 + 270.502i 0.117814 + 0.516179i
\(66\) 304.470 + 207.584i 0.567844 + 0.387149i
\(67\) 2.74287 + 36.6010i 0.00500141 + 0.0667392i 0.999146 0.0413187i \(-0.0131559\pi\)
−0.994145 + 0.108058i \(0.965537\pi\)
\(68\) 710.419 + 219.135i 1.26693 + 0.390795i
\(69\) −1322.58 + 199.347i −2.30754 + 0.347806i
\(70\) −663.835 832.423i −1.13348 1.42134i
\(71\) 670.963 457.455i 1.12153 0.764647i 0.147052 0.989129i \(-0.453021\pi\)
0.974478 + 0.224482i \(0.0720690\pi\)
\(72\) −1462.67 1357.16i −2.39413 2.22143i
\(73\) 235.322 + 599.591i 0.377293 + 0.961326i 0.985822 + 0.167795i \(0.0536645\pi\)
−0.608529 + 0.793531i \(0.708240\pi\)
\(74\) 728.577 224.736i 1.14453 0.353041i
\(75\) −2396.74 + 1154.21i −3.69003 + 1.77702i
\(76\) 87.8121 223.742i 0.132536 0.337696i
\(77\) 6.70506 89.4727i 0.00992353 0.132420i
\(78\) 362.768 454.896i 0.526607 0.660344i
\(79\) 254.137 440.178i 0.361932 0.626885i −0.626347 0.779545i \(-0.715451\pi\)
0.988279 + 0.152660i \(0.0487839\pi\)
\(80\) 652.716 + 1130.54i 0.912199 + 1.57997i
\(81\) −500.144 75.3847i −0.686069 0.103408i
\(82\) −1128.83 543.616i −1.52023 0.732102i
\(83\) −37.4012 + 34.7032i −0.0494616 + 0.0458937i −0.704516 0.709688i \(-0.748836\pi\)
0.655055 + 0.755581i \(0.272646\pi\)
\(84\) −331.001 + 1450.21i −0.429943 + 1.88370i
\(85\) −960.828 −1.22608
\(86\) −1219.51 + 646.907i −1.52911 + 0.811137i
\(87\) 443.563 0.546608
\(88\) −73.9196 + 323.863i −0.0895438 + 0.392317i
\(89\) 652.879 605.783i 0.777585 0.721493i −0.187833 0.982201i \(-0.560146\pi\)
0.965418 + 0.260708i \(0.0839559\pi\)
\(90\) 4655.80 + 2242.11i 5.45294 + 2.62600i
\(91\) −140.084 21.1143i −0.161371 0.0243228i
\(92\) −1208.09 2092.47i −1.36904 2.37125i
\(93\) 528.066 914.638i 0.588795 1.01982i
\(94\) 143.094 179.434i 0.157011 0.196885i
\(95\) −23.2138 + 309.767i −0.0250704 + 0.334541i
\(96\) −7.86229 + 20.0328i −0.00835877 + 0.0212978i
\(97\) −709.445 + 341.651i −0.742611 + 0.357623i −0.766630 0.642089i \(-0.778068\pi\)
0.0240193 + 0.999711i \(0.492354\pi\)
\(98\) −1085.18 + 334.734i −1.11857 + 0.345033i
\(99\) 159.096 + 405.370i 0.161512 + 0.411527i
\(100\) −3522.68 3268.57i −3.52268 3.26857i
\(101\) 576.595 393.116i 0.568053 0.387292i −0.244964 0.969532i \(-0.578776\pi\)
0.813017 + 0.582240i \(0.197824\pi\)
\(102\) 1256.25 + 1575.29i 1.21948 + 1.52919i
\(103\) 732.976 110.478i 0.701188 0.105687i 0.211234 0.977436i \(-0.432252\pi\)
0.489954 + 0.871749i \(0.337014\pi\)
\(104\) 501.202 + 154.600i 0.472566 + 0.145767i
\(105\) −143.664 1917.07i −0.133526 1.78178i
\(106\) 301.003 + 205.220i 0.275811 + 0.188045i
\(107\) 100.597 + 440.742i 0.0908881 + 0.398207i 0.999825 0.0187276i \(-0.00596154\pi\)
−0.908936 + 0.416935i \(0.863104\pi\)
\(108\) −758.393 3322.74i −0.675708 2.96047i
\(109\) −986.452 672.552i −0.866835 0.590998i 0.0461761 0.998933i \(-0.485296\pi\)
−0.913011 + 0.407935i \(0.866249\pi\)
\(110\) −64.2920 857.917i −0.0557273 0.743629i
\(111\) 1315.52 + 405.785i 1.12490 + 0.346986i
\(112\) −659.091 + 99.3420i −0.556056 + 0.0838120i
\(113\) −765.973 960.499i −0.637670 0.799612i 0.353040 0.935608i \(-0.385148\pi\)
−0.990709 + 0.135996i \(0.956577\pi\)
\(114\) 538.218 366.951i 0.442182 0.301475i
\(115\) 2289.07 + 2123.94i 1.85614 + 1.72225i
\(116\) 292.739 + 745.887i 0.234311 + 0.597016i
\(117\) 657.028 202.666i 0.519165 0.160141i
\(118\) 3759.22 1810.35i 2.93275 1.41234i
\(119\) 179.231 456.673i 0.138068 0.351791i
\(120\) −531.902 + 7097.73i −0.404631 + 5.39943i
\(121\) −784.662 + 983.935i −0.589528 + 0.739245i
\(122\) −2250.92 + 3898.71i −1.67040 + 2.89322i
\(123\) −1131.13 1959.17i −0.829191 1.43620i
\(124\) 1886.55 + 284.351i 1.36627 + 0.205931i
\(125\) 3271.28 + 1575.37i 2.34074 + 1.12724i
\(126\) −1934.14 + 1794.62i −1.36752 + 1.26887i
\(127\) 348.627 1527.43i 0.243588 1.06723i −0.694136 0.719844i \(-0.744213\pi\)
0.937723 0.347383i \(-0.112930\pi\)
\(128\) −2516.29 −1.73759
\(129\) −2477.33 275.309i −1.69083 0.187904i
\(130\) −1358.38 −0.916445
\(131\) −135.060 + 591.735i −0.0900780 + 0.394657i −0.999788 0.0205866i \(-0.993447\pi\)
0.909710 + 0.415244i \(0.136304\pi\)
\(132\) −881.098 + 817.539i −0.580983 + 0.539073i
\(133\) −142.899 68.8167i −0.0931650 0.0448659i
\(134\) −177.687 26.7820i −0.114551 0.0172657i
\(135\) 2202.36 + 3814.60i 1.40407 + 2.43192i
\(136\) −908.169 + 1572.99i −0.572609 + 0.991788i
\(137\) 1246.94 1563.61i 0.777614 0.975097i −0.222386 0.974959i \(-0.571385\pi\)
1.00000 0.000138194i \(-4.39885e-5\pi\)
\(138\) 489.351 6529.94i 0.301857 4.02801i
\(139\) 49.5968 126.370i 0.0302643 0.0771123i −0.914943 0.403584i \(-0.867764\pi\)
0.945207 + 0.326471i \(0.105860\pi\)
\(140\) 3128.89 1506.80i 1.88886 0.909625i
\(141\) 395.984 122.145i 0.236510 0.0729537i
\(142\) 1452.50 + 3700.90i 0.858386 + 2.18713i
\(143\) −83.9136 77.8604i −0.0490714 0.0455316i
\(144\) 2672.90 1822.35i 1.54682 1.05460i
\(145\) −645.664 809.637i −0.369789 0.463701i
\(146\) −3118.24 + 469.999i −1.76759 + 0.266421i
\(147\) −1959.41 604.398i −1.09938 0.339115i
\(148\) 185.848 + 2479.97i 0.103220 + 1.37738i
\(149\) 395.558 + 269.687i 0.217486 + 0.148279i 0.667163 0.744912i \(-0.267509\pi\)
−0.449677 + 0.893191i \(0.648461\pi\)
\(150\) −2898.05 12697.2i −1.57750 6.91148i
\(151\) −259.080 1135.10i −0.139626 0.611743i −0.995517 0.0945860i \(-0.969847\pi\)
0.855890 0.517158i \(-0.173010\pi\)
\(152\) 485.185 + 330.794i 0.258906 + 0.176519i
\(153\) 177.936 + 2374.39i 0.0940214 + 1.25463i
\(154\) 419.753 + 129.477i 0.219641 + 0.0677502i
\(155\) −2438.16 + 367.494i −1.26347 + 0.190438i
\(156\) 1183.26 + 1483.76i 0.607284 + 0.761510i
\(157\) −2219.11 + 1512.96i −1.12805 + 0.769094i −0.975674 0.219229i \(-0.929646\pi\)
−0.152379 + 0.988322i \(0.548694\pi\)
\(158\) 1824.13 + 1692.55i 0.918482 + 0.852227i
\(159\) 240.318 + 612.321i 0.119865 + 0.305410i
\(160\) 48.0105 14.8093i 0.0237223 0.00731736i
\(161\) −1436.49 + 691.777i −0.703175 + 0.338631i
\(162\) 904.681 2305.09i 0.438756 1.11793i
\(163\) −230.932 + 3081.58i −0.110969 + 1.48078i 0.612524 + 0.790452i \(0.290154\pi\)
−0.723493 + 0.690331i \(0.757465\pi\)
\(164\) 2547.99 3195.08i 1.21320 1.52131i
\(165\) 776.702 1345.29i 0.366462 0.634730i
\(166\) −124.895 216.324i −0.0583959 0.101145i
\(167\) 597.446 + 90.0505i 0.276837 + 0.0417264i 0.285993 0.958232i \(-0.407677\pi\)
−0.00915639 + 0.999958i \(0.502915\pi\)
\(168\) −3274.27 1576.81i −1.50366 0.724126i
\(169\) 1478.02 1371.40i 0.672746 0.624217i
\(170\) 1046.74 4586.08i 0.472244 2.06904i
\(171\) 769.793 0.344255
\(172\) −1172.02 4347.53i −0.519566 1.92730i
\(173\) 1610.71 0.707860 0.353930 0.935272i \(-0.384845\pi\)
0.353930 + 0.935272i \(0.384845\pi\)
\(174\) −483.225 + 2117.15i −0.210536 + 0.922417i
\(175\) −2324.54 + 2156.86i −1.00411 + 0.931677i
\(176\) −485.248 233.683i −0.207824 0.100083i
\(177\) 7449.60 + 1122.85i 3.16354 + 0.476827i
\(178\) 2180.18 + 3776.18i 0.918040 + 1.59009i
\(179\) 40.8869 70.8183i 0.0170728 0.0295710i −0.857363 0.514713i \(-0.827899\pi\)
0.874436 + 0.485142i \(0.161232\pi\)
\(180\) −10509.1 + 13177.9i −4.35166 + 5.45681i
\(181\) 101.614 1355.95i 0.0417289 0.556834i −0.936684 0.350175i \(-0.886122\pi\)
0.978413 0.206658i \(-0.0662589\pi\)
\(182\) 253.390 645.626i 0.103201 0.262951i
\(183\) −7323.57 + 3526.85i −2.95833 + 1.42466i
\(184\) 5640.77 1739.95i 2.26002 0.697123i
\(185\) −1174.24 2991.90i −0.466657 1.18902i
\(186\) 3790.33 + 3516.91i 1.49420 + 1.38641i
\(187\) 327.530 223.306i 0.128082 0.0873249i
\(188\) 466.735 + 585.268i 0.181065 + 0.227048i
\(189\) −2223.87 + 335.195i −0.855888 + 0.129004i
\(190\) −1453.24 448.267i −0.554892 0.171161i
\(191\) −300.399 4008.54i −0.113802 1.51858i −0.703351 0.710843i \(-0.748314\pi\)
0.589549 0.807732i \(-0.299305\pi\)
\(192\) −3783.02 2579.22i −1.42196 0.969474i
\(193\) 890.597 + 3901.96i 0.332158 + 1.45528i 0.814942 + 0.579542i \(0.196768\pi\)
−0.482784 + 0.875739i \(0.660374\pi\)
\(194\) −857.835 3758.42i −0.317469 1.39092i
\(195\) −2026.52 1381.66i −0.744215 0.507397i
\(196\) −276.811 3693.79i −0.100879 1.34613i
\(197\) −1570.89 484.555i −0.568128 0.175244i −0.00263378 0.999997i \(-0.500838\pi\)
−0.565494 + 0.824752i \(0.691315\pi\)
\(198\) −2108.17 + 317.756i −0.756673 + 0.114050i
\(199\) 1851.39 + 2321.57i 0.659506 + 0.826994i 0.993289 0.115656i \(-0.0368970\pi\)
−0.333784 + 0.942650i \(0.608326\pi\)
\(200\) 9700.42 6613.64i 3.42962 2.33827i
\(201\) −237.843 220.686i −0.0834635 0.0774428i
\(202\) 1248.21 + 3180.38i 0.434771 + 1.10778i
\(203\) 505.254 155.850i 0.174689 0.0538845i
\(204\) −5921.17 + 2851.48i −2.03218 + 0.978646i
\(205\) −1929.58 + 4916.49i −0.657403 + 1.67504i
\(206\) −271.198 + 3618.89i −0.0917247 + 1.22398i
\(207\) 4824.76 6050.05i 1.62002 2.03144i
\(208\) −425.191 + 736.453i −0.141739 + 0.245499i
\(209\) −64.0798 110.989i −0.0212081 0.0367335i
\(210\) 9306.78 + 1402.77i 3.05823 + 0.460955i
\(211\) −2597.07 1250.68i −0.847345 0.408060i −0.0407536 0.999169i \(-0.512976\pi\)
−0.806591 + 0.591109i \(0.798690\pi\)
\(212\) −871.064 + 808.229i −0.282193 + 0.261837i
\(213\) −1597.39 + 6998.62i −0.513856 + 2.25135i
\(214\) −2213.28 −0.706993
\(215\) 3103.56 + 4922.63i 0.984470 + 1.56149i
\(216\) 8326.64 2.62294
\(217\) 280.144 1227.39i 0.0876377 0.383966i
\(218\) 4284.78 3975.70i 1.33120 1.23518i
\(219\) −5130.04 2470.50i −1.58290 0.762286i
\(220\) 2774.81 + 418.236i 0.850354 + 0.128170i
\(221\) −312.950 542.046i −0.0952548 0.164986i
\(222\) −3369.99 + 5836.99i −1.01882 + 1.76465i
\(223\) 2942.70 3690.03i 0.883668 1.10808i −0.109798 0.993954i \(-0.535020\pi\)
0.993466 0.114130i \(-0.0364081\pi\)
\(224\) −1.91707 + 25.5815i −0.000571828 + 0.00763051i
\(225\) 5622.83 14326.7i 1.66602 4.24496i
\(226\) 5418.98 2609.64i 1.59498 0.768101i
\(227\) 4435.27 1368.10i 1.29682 0.400017i 0.431901 0.901921i \(-0.357843\pi\)
0.864924 + 0.501904i \(0.167367\pi\)
\(228\) 776.250 + 1977.85i 0.225475 + 0.574502i
\(229\) −3302.95 3064.69i −0.953122 0.884368i 0.0402642 0.999189i \(-0.487180\pi\)
−0.993386 + 0.114821i \(0.963371\pi\)
\(230\) −12631.4 + 8611.97i −3.62127 + 2.46894i
\(231\) 494.519 + 620.107i 0.140853 + 0.176624i
\(232\) −1935.75 + 291.768i −0.547795 + 0.0825668i
\(233\) −4790.70 1477.74i −1.34699 0.415492i −0.464398 0.885627i \(-0.653729\pi\)
−0.882595 + 0.470135i \(0.844205\pi\)
\(234\) 251.559 + 3356.82i 0.0702774 + 0.937787i
\(235\) −799.359 544.994i −0.221891 0.151283i
\(236\) 3028.37 + 13268.2i 0.835297 + 3.65968i
\(237\) 999.805 + 4380.43i 0.274027 + 1.20059i
\(238\) 1984.47 + 1352.99i 0.540479 + 0.368492i
\(239\) −324.140 4325.35i −0.0877275 1.17064i −0.851214 0.524818i \(-0.824133\pi\)
0.763487 0.645823i \(-0.223486\pi\)
\(240\) −11027.2 3401.44i −2.96584 0.914841i
\(241\) 5540.62 835.115i 1.48093 0.223214i 0.641682 0.766970i \(-0.278237\pi\)
0.839243 + 0.543757i \(0.182999\pi\)
\(242\) −3841.55 4817.15i −1.02043 1.27958i
\(243\) −1066.98 + 727.455i −0.281674 + 0.192042i
\(244\) −10764.0 9987.56i −2.82417 2.62044i
\(245\) 1748.97 + 4456.30i 0.456072 + 1.16205i
\(246\) 10583.5 3264.58i 2.74301 0.846105i
\(247\) −182.314 + 87.7979i −0.0469651 + 0.0226172i
\(248\) −1702.90 + 4338.93i −0.436026 + 1.11098i
\(249\) 33.7049 449.761i 0.00857816 0.114468i
\(250\) −11083.1 + 13897.8i −2.80383 + 3.51589i
\(251\) −425.787 + 737.484i −0.107073 + 0.185457i −0.914583 0.404397i \(-0.867481\pi\)
0.807510 + 0.589854i \(0.200815\pi\)
\(252\) −4303.02 7453.05i −1.07565 1.86309i
\(253\) −1273.93 192.014i −0.316566 0.0477147i
\(254\) 6910.72 + 3328.03i 1.70715 + 0.822122i
\(255\) 6226.26 5777.12i 1.52903 1.41874i
\(256\) 1819.26 7970.70i 0.444156 1.94597i
\(257\) 2239.01 0.543446 0.271723 0.962376i \(-0.412407\pi\)
0.271723 + 0.962376i \(0.412407\pi\)
\(258\) 4012.91 11524.5i 0.968345 2.78095i
\(259\) 1641.07 0.393710
\(260\) 985.922 4319.61i 0.235170 1.03035i
\(261\) −1881.20 + 1745.50i −0.446143 + 0.413960i
\(262\) −2677.25 1289.29i −0.631301 0.304018i
\(263\) −2410.57 363.335i −0.565179 0.0851870i −0.139763 0.990185i \(-0.544634\pi\)
−0.425416 + 0.904998i \(0.639872\pi\)
\(264\) −1468.27 2543.12i −0.342294 0.592871i
\(265\) 767.857 1329.97i 0.177997 0.308299i
\(266\) 484.143 607.096i 0.111597 0.139938i
\(267\) −588.356 + 7851.07i −0.134857 + 1.79954i
\(268\) 214.132 545.599i 0.0488067 0.124357i
\(269\) −1265.86 + 609.604i −0.286917 + 0.138172i −0.571807 0.820388i \(-0.693757\pi\)
0.284890 + 0.958560i \(0.408043\pi\)
\(270\) −20606.6 + 6356.29i −4.64473 + 1.43271i
\(271\) 797.185 + 2031.19i 0.178692 + 0.455300i 0.991954 0.126598i \(-0.0404057\pi\)
−0.813262 + 0.581898i \(0.802310\pi\)
\(272\) −2158.72 2003.00i −0.481220 0.446507i
\(273\) 1034.71 705.454i 0.229390 0.156396i
\(274\) 6104.76 + 7655.13i 1.34599 + 1.68782i
\(275\) −2533.70 + 381.894i −0.555593 + 0.0837422i
\(276\) 20409.8 + 6295.59i 4.45118 + 1.37301i
\(277\) −250.261 3339.51i −0.0542843 0.724374i −0.956247 0.292560i \(-0.905493\pi\)
0.901963 0.431814i \(-0.142126\pi\)
\(278\) 549.141 + 374.398i 0.118472 + 0.0807731i
\(279\) 1359.67 + 5957.11i 0.291761 + 1.27829i
\(280\) 1887.98 + 8271.79i 0.402959 + 1.76548i
\(281\) 901.864 + 614.880i 0.191461 + 0.130536i 0.655257 0.755406i \(-0.272560\pi\)
−0.463795 + 0.885942i \(0.653513\pi\)
\(282\) 151.612 + 2023.12i 0.0320155 + 0.427217i
\(283\) −3302.36 1018.64i −0.693656 0.213965i −0.0721729 0.997392i \(-0.522993\pi\)
−0.621483 + 0.783428i \(0.713470\pi\)
\(284\) −12823.0 + 1932.75i −2.67924 + 0.403830i
\(285\) −1712.09 2146.90i −0.355844 0.446215i
\(286\) 463.049 315.701i 0.0957365 0.0652721i
\(287\) −1976.82 1834.22i −0.406579 0.377250i
\(288\) −45.4877 115.901i −0.00930690 0.0237136i
\(289\) −2623.55 + 809.259i −0.534002 + 0.164718i
\(290\) 4567.84 2199.75i 0.924940 0.445428i
\(291\) 2543.05 6479.58i 0.512289 1.30529i
\(292\) 768.659 10257.0i 0.154049 2.05564i
\(293\) −4560.52 + 5718.71i −0.909311 + 1.14024i 0.0803428 + 0.996767i \(0.474398\pi\)
−0.989654 + 0.143473i \(0.954173\pi\)
\(294\) 5019.44 8693.92i 0.995713 1.72463i
\(295\) −8794.34 15232.2i −1.73568 3.00629i
\(296\) −6008.00 905.560i −1.17976 0.177820i
\(297\) −1637.30 788.482i −0.319885 0.154048i
\(298\) −1718.16 + 1594.22i −0.333994 + 0.309901i
\(299\) −452.641 + 1983.15i −0.0875482 + 0.383574i
\(300\) 42480.1 8.17531
\(301\) −2918.62 + 556.836i −0.558891 + 0.106630i
\(302\) 5700.15 1.08611
\(303\) −1372.72 + 6014.29i −0.260267 + 1.14030i
\(304\) −697.915 + 647.570i −0.131672 + 0.122173i
\(305\) 17098.0 + 8233.96i 3.20993 + 1.54582i
\(306\) −11526.9 1737.41i −2.15344 0.324578i
\(307\) −417.288 722.764i −0.0775762 0.134366i 0.824627 0.565676i \(-0.191385\pi\)
−0.902204 + 0.431310i \(0.858051\pi\)
\(308\) −716.392 + 1240.83i −0.132533 + 0.229554i
\(309\) −4085.49 + 5123.04i −0.752153 + 0.943171i
\(310\) 902.111 12037.8i 0.165279 2.20549i
\(311\) −1571.37 + 4003.79i −0.286509 + 0.730013i 0.713073 + 0.701090i \(0.247303\pi\)
−0.999582 + 0.0289227i \(0.990792\pi\)
\(312\) −4177.39 + 2011.73i −0.758007 + 0.365037i
\(313\) 968.884 298.861i 0.174967 0.0539701i −0.206034 0.978545i \(-0.566056\pi\)
0.381001 + 0.924575i \(0.375580\pi\)
\(314\) −4803.92 12240.2i −0.863378 2.19985i
\(315\) 8153.30 + 7565.16i 1.45837 + 1.35317i
\(316\) −6706.21 + 4572.22i −1.19384 + 0.813947i
\(317\) −1856.70 2328.23i −0.328967 0.412512i 0.589651 0.807658i \(-0.299265\pi\)
−0.918618 + 0.395146i \(0.870694\pi\)
\(318\) −3184.45 + 479.978i −0.561556 + 0.0846410i
\(319\) 408.264 + 125.933i 0.0716563 + 0.0221031i
\(320\) 798.823 + 10659.5i 0.139549 + 1.86215i
\(321\) −3301.90 2251.20i −0.574126 0.391432i
\(322\) −1736.95 7610.07i −0.300610 1.31706i
\(323\) −155.930 683.174i −0.0268612 0.117687i
\(324\) 6673.49 + 4549.91i 1.14429 + 0.780163i
\(325\) 302.336 + 4034.39i 0.0516017 + 0.688577i
\(326\) −14456.9 4459.38i −2.45612 0.757613i
\(327\) 10436.1 1572.99i 1.76489 0.266014i
\(328\) 6225.07 + 7806.00i 1.04793 + 1.31407i
\(329\) 408.142 278.266i 0.0683939 0.0466302i
\(330\) 5574.98 + 5172.82i 0.929977 + 0.862892i
\(331\) −2873.53 7321.63i −0.477170 1.21581i −0.943552 0.331226i \(-0.892538\pi\)
0.466381 0.884584i \(-0.345557\pi\)
\(332\) 778.554 240.152i 0.128701 0.0396990i
\(333\) −7176.11 + 3455.83i −1.18093 + 0.568704i
\(334\) −1080.68 + 2753.54i −0.177043 + 0.451098i
\(335\) −56.6075 + 755.374i −0.00923223 + 0.123195i
\(336\) 3673.67 4606.63i 0.596473 0.747954i
\(337\) −3836.42 + 6644.87i −0.620128 + 1.07409i 0.369334 + 0.929297i \(0.379586\pi\)
−0.989462 + 0.144796i \(0.953748\pi\)
\(338\) 4935.60 + 8548.71i 0.794264 + 1.37571i
\(339\) 10738.7 + 1618.60i 1.72049 + 0.259323i
\(340\) 13823.9 + 6657.22i 2.20501 + 1.06188i
\(341\) 745.719 691.926i 0.118425 0.109882i
\(342\) −838.626 + 3674.26i −0.132596 + 0.580939i
\(343\) −6058.66 −0.953751
\(344\) 10992.4 428.069i 1.72288 0.0670928i
\(345\) −27603.9 −4.30766
\(346\) −1754.73 + 7687.98i −0.272644 + 1.19453i
\(347\) 9009.11 8359.23i 1.39376 1.29322i 0.485857 0.874039i \(-0.338508\pi\)
0.907903 0.419181i \(-0.137683\pi\)
\(348\) −6381.73 3073.28i −0.983037 0.473406i
\(349\) −3575.77 538.961i −0.548443 0.0826645i −0.131025 0.991379i \(-0.541827\pi\)
−0.417418 + 0.908715i \(0.637065\pi\)
\(350\) −7762.42 13444.9i −1.18548 2.05331i
\(351\) −1434.66 + 2484.90i −0.218166 + 0.377875i
\(352\) −12.9241 + 16.2064i −0.00195699 + 0.00245398i
\(353\) 171.444 2287.76i 0.0258499 0.344943i −0.969251 0.246076i \(-0.920859\pi\)
0.995101 0.0988678i \(-0.0315221\pi\)
\(354\) −13475.1 + 34334.1i −2.02315 + 5.15491i
\(355\) 15099.8 7271.69i 2.25751 1.08716i
\(356\) −13590.5 + 4192.12i −2.02330 + 0.624106i
\(357\) 1584.38 + 4036.94i 0.234886 + 0.598481i
\(358\) 293.476 + 272.306i 0.0433260 + 0.0402006i
\(359\) 4218.08 2875.84i 0.620117 0.422788i −0.212093 0.977249i \(-0.568028\pi\)
0.832210 + 0.554461i \(0.187076\pi\)
\(360\) −25675.0 32195.4i −3.75886 4.71346i
\(361\) 6558.37 988.515i 0.956170 0.144119i
\(362\) 6361.32 + 1962.21i 0.923600 + 0.284893i
\(363\) −831.372 11093.9i −0.120209 1.60407i
\(364\) 1869.16 + 1274.37i 0.269150 + 0.183503i
\(365\) 2958.04 + 12960.0i 0.424194 + 1.85852i
\(366\) −8855.39 38798.0i −1.26470 5.54099i
\(367\) 2423.76 + 1652.49i 0.344740 + 0.235039i 0.723295 0.690539i \(-0.242627\pi\)
−0.378555 + 0.925579i \(0.623579\pi\)
\(368\) 715.213 + 9543.86i 0.101313 + 1.35192i
\(369\) 12506.9 + 3857.88i 1.76446 + 0.544263i
\(370\) 15559.7 2345.25i 2.18625 0.329524i
\(371\) 488.887 + 613.045i 0.0684145 + 0.0857890i
\(372\) −13934.7 + 9500.53i −1.94215 + 1.32414i
\(373\) 1580.55 + 1466.53i 0.219404 + 0.203577i 0.782215 0.623009i \(-0.214090\pi\)
−0.562811 + 0.826585i \(0.690280\pi\)
\(374\) 709.035 + 1806.59i 0.0980303 + 0.249777i
\(375\) −30670.4 + 9460.55i −4.22350 + 1.30278i
\(376\) −1647.77 + 793.525i −0.226004 + 0.108838i
\(377\) 246.454 627.954i 0.0336685 0.0857858i
\(378\) 822.824 10979.8i 0.111962 1.49402i
\(379\) −566.381 + 710.220i −0.0767627 + 0.0962574i −0.818730 0.574179i \(-0.805321\pi\)
0.741967 + 0.670436i \(0.233893\pi\)
\(380\) 2480.25 4295.92i 0.334826 0.579936i
\(381\) 6924.79 + 11994.1i 0.931149 + 1.61280i
\(382\) 19460.2 + 2933.16i 2.60647 + 0.392863i
\(383\) −5314.45 2559.30i −0.709023 0.341447i 0.0443728 0.999015i \(-0.485871\pi\)
−0.753395 + 0.657568i \(0.771585\pi\)
\(384\) 16305.8 15129.6i 2.16693 2.01062i
\(385\) 412.047 1805.30i 0.0545451 0.238978i
\(386\) −19594.5 −2.58377
\(387\) 11590.0 8581.12i 1.52236 1.12714i
\(388\) 12574.3 1.64526
\(389\) 1561.96 6843.38i 0.203585 0.891962i −0.765148 0.643855i \(-0.777334\pi\)
0.968732 0.248108i \(-0.0798087\pi\)
\(390\) 8802.44 8167.47i 1.14289 1.06045i
\(391\) −6346.60 3056.36i −0.820873 0.395311i
\(392\) 8948.63 + 1348.79i 1.15300 + 0.173786i
\(393\) −2682.70 4646.57i −0.344336 0.596408i
\(394\) 4024.16 6970.05i 0.514554 0.891234i
\(395\) 6540.28 8201.25i 0.833106 1.04468i
\(396\) 519.673 6934.55i 0.0659458 0.879985i
\(397\) 1243.92 3169.47i 0.157256 0.400683i −0.830431 0.557121i \(-0.811906\pi\)
0.987688 + 0.156438i \(0.0500012\pi\)
\(398\) −13097.9 + 6307.62i −1.64960 + 0.794404i
\(399\) 1339.77 413.265i 0.168101 0.0518524i
\(400\) 6954.23 + 17719.1i 0.869279 + 2.21489i
\(401\) 2486.66 + 2307.28i 0.309671 + 0.287332i 0.819662 0.572847i \(-0.194161\pi\)
−0.509992 + 0.860179i \(0.670352\pi\)
\(402\) 1312.46 894.818i 0.162834 0.111019i
\(403\) −1001.45 1255.78i −0.123786 0.155223i
\(404\) −11019.5 + 1660.92i −1.35703 + 0.204539i
\(405\) −9974.85 3076.83i −1.22384 0.377504i
\(406\) 193.449 + 2581.39i 0.0236470 + 0.315548i
\(407\) 1095.63 + 746.985i 0.133435 + 0.0909746i
\(408\) −3572.85 15653.7i −0.433535 1.89944i
\(409\) 1305.03 + 5717.73i 0.157775 + 0.691255i 0.990493 + 0.137560i \(0.0439258\pi\)
−0.832719 + 0.553696i \(0.813217\pi\)
\(410\) −21364.5 14566.1i −2.57346 1.75456i
\(411\) 1321.17 + 17629.8i 0.158561 + 2.11584i
\(412\) −11311.1 3489.02i −1.35257 0.417213i
\(413\) 8880.23 1338.48i 1.05803 0.159473i
\(414\) 23621.0 + 29619.9i 2.80413 + 3.51627i
\(415\) −870.012 + 593.164i −0.102909 + 0.0701622i
\(416\) 23.9920 + 22.2614i 0.00282766 + 0.00262368i
\(417\) 438.430 + 1117.10i 0.0514868 + 0.131186i
\(418\) 599.568 184.942i 0.0701575 0.0216407i
\(419\) −2571.27 + 1238.26i −0.299797 + 0.144374i −0.577735 0.816225i \(-0.696063\pi\)
0.277938 + 0.960599i \(0.410349\pi\)
\(420\) −11215.7 + 28577.1i −1.30302 + 3.32005i
\(421\) −552.306 + 7370.01i −0.0639376 + 0.853188i 0.869382 + 0.494141i \(0.164517\pi\)
−0.933319 + 0.359047i \(0.883102\pi\)
\(422\) 8798.88 11033.4i 1.01498 1.27275i
\(423\) −1198.75 + 2076.30i −0.137790 + 0.238660i
\(424\) −1451.55 2514.15i −0.166258 0.287967i
\(425\) −13853.6 2088.10i −1.58118 0.238324i
\(426\) −31664.6 15248.8i −3.60130 1.73429i
\(427\) −7102.95 + 6590.58i −0.805003 + 0.746933i
\(428\) 1606.41 7038.15i 0.181423 0.794864i
\(429\) 1011.92 0.113883
\(430\) −26877.1 + 9450.65i −3.01425 + 1.05989i
\(431\) 1875.72 0.209629 0.104814 0.994492i \(-0.466575\pi\)
0.104814 + 0.994492i \(0.466575\pi\)
\(432\) −3004.04 + 13161.6i −0.334565 + 1.46582i
\(433\) 4085.91 3791.17i 0.453479 0.420767i −0.420079 0.907488i \(-0.637998\pi\)
0.873558 + 0.486721i \(0.161807\pi\)
\(434\) 5553.20 + 2674.28i 0.614198 + 0.295782i
\(435\) 9052.03 + 1364.37i 0.997728 + 0.150383i
\(436\) 9532.67 + 16511.1i 1.04709 + 1.81362i
\(437\) −1138.69 + 1972.27i −0.124648 + 0.215896i
\(438\) 17380.6 21794.5i 1.89606 2.37759i
\(439\) −976.194 + 13026.4i −0.106130 + 1.41621i 0.649077 + 0.760723i \(0.275155\pi\)
−0.755207 + 0.655487i \(0.772464\pi\)
\(440\) −2504.70 + 6381.88i −0.271380 + 0.691464i
\(441\) 10688.5 5147.30i 1.15414 0.555804i
\(442\) 2928.15 903.214i 0.315108 0.0971980i
\(443\) 3514.81 + 8955.60i 0.376961 + 0.960481i 0.985911 + 0.167272i \(0.0534960\pi\)
−0.608949 + 0.793209i \(0.708409\pi\)
\(444\) −16115.5 14953.0i −1.72254 1.59828i
\(445\) 15187.0 10354.3i 1.61783 1.10302i
\(446\) 14406.9 + 18065.7i 1.52956 + 1.91801i
\(447\) −4184.79 + 630.755i −0.442805 + 0.0667421i
\(448\) −5215.40 1608.74i −0.550010 0.169656i
\(449\) 91.1749 + 1216.64i 0.00958309 + 0.127877i 0.999943 0.0106376i \(-0.00338611\pi\)
−0.990360 + 0.138515i \(0.955767\pi\)
\(450\) 62256.7 + 42445.9i 6.52180 + 4.44649i
\(451\) −484.881 2124.40i −0.0506256 0.221805i
\(452\) 4365.45 + 19126.3i 0.454277 + 1.99032i
\(453\) 8503.83 + 5797.81i 0.881997 + 0.601336i
\(454\) 1698.15 + 22660.2i 0.175546 + 2.34250i
\(455\) −2793.83 861.782i −0.287861 0.0887933i
\(456\) −5133.00 + 773.675i −0.527137 + 0.0794532i
\(457\) 1736.37 + 2177.34i 0.177733 + 0.222870i 0.862716 0.505689i \(-0.168762\pi\)
−0.684983 + 0.728559i \(0.740190\pi\)
\(458\) 18226.2 12426.4i 1.85951 1.26779i
\(459\) −7283.85 6758.43i −0.740699 0.687269i
\(460\) −18217.8 46418.2i −1.84654 4.70491i
\(461\) −5643.66 + 1740.84i −0.570176 + 0.175876i −0.566420 0.824117i \(-0.691672\pi\)
−0.00375652 + 0.999993i \(0.501196\pi\)
\(462\) −3498.54 + 1684.81i −0.352309 + 0.169663i
\(463\) 1794.03 4571.12i 0.180077 0.458830i −0.812123 0.583487i \(-0.801688\pi\)
0.992200 + 0.124657i \(0.0397832\pi\)
\(464\) 237.186 3165.03i 0.0237308 0.316665i
\(465\) 13589.9 17041.2i 1.35531 1.69950i
\(466\) 12272.4 21256.4i 1.21997 2.11305i
\(467\) −2988.14 5175.61i −0.296091 0.512845i 0.679147 0.734002i \(-0.262350\pi\)
−0.975238 + 0.221157i \(0.929017\pi\)
\(468\) −10857.2 1636.45i −1.07238 0.161635i
\(469\) −348.463 167.811i −0.0343082 0.0165220i
\(470\) 3472.12 3221.66i 0.340760 0.316179i
\(471\) 5283.13 23146.9i 0.516844 2.26444i
\(472\) −33249.4 −3.24243
\(473\) −2202.02 956.743i −0.214057 0.0930044i
\(474\) −21997.2 −2.13158
\(475\) −1007.90 + 4415.91i −0.0973594 + 0.426559i
\(476\) −5742.80 + 5328.54i −0.552985 + 0.513095i
\(477\) −3428.80 1651.23i −0.329128 0.158500i
\(478\) 20998.2 + 3164.97i 2.00928 + 0.302850i
\(479\) −6353.78 11005.1i −0.606079 1.04976i −0.991880 0.127177i \(-0.959408\pi\)
0.385801 0.922582i \(-0.373925\pi\)
\(480\) −222.070 + 384.636i −0.0211168 + 0.0365753i
\(481\) 1305.41 1636.93i 0.123745 0.155172i
\(482\) −2050.01 + 27355.5i −0.193725 + 2.58508i
\(483\) 5149.18 13119.9i 0.485084 1.23597i
\(484\) 18106.6 8719.68i 1.70047 0.818903i
\(485\) −15528.9 + 4790.04i −1.45388 + 0.448463i
\(486\) −2309.79 5885.26i −0.215585 0.549302i
\(487\) −7507.87 6966.29i −0.698592 0.648198i 0.248696 0.968581i \(-0.419998\pi\)
−0.947288 + 0.320383i \(0.896188\pi\)
\(488\) 29640.9 20208.8i 2.74955 1.87461i
\(489\) −17032.0 21357.4i −1.57508 1.97508i
\(490\) −23175.5 + 3493.15i −2.13666 + 0.322050i
\(491\) −1548.69 477.706i −0.142345 0.0439075i 0.222764 0.974872i \(-0.428492\pi\)
−0.365109 + 0.930965i \(0.618968\pi\)
\(492\) 2699.68 + 36024.7i 0.247380 + 3.30105i
\(493\) 1930.15 + 1315.95i 0.176327 + 0.120218i
\(494\) −220.448 965.844i −0.0200778 0.0879664i
\(495\) 1999.86 + 8761.97i 0.181590 + 0.795599i
\(496\) −6244.00 4257.08i −0.565249 0.385381i
\(497\) 639.480 + 8533.26i 0.0577155 + 0.770159i
\(498\) 2110.01 + 650.853i 0.189863 + 0.0585651i
\(499\) −15000.0 + 2260.89i −1.34568 + 0.202828i −0.782057 0.623207i \(-0.785829\pi\)
−0.563619 + 0.826035i \(0.690591\pi\)
\(500\) −36150.3 45331.0i −3.23338 4.05453i
\(501\) −4412.95 + 3008.70i −0.393525 + 0.268301i
\(502\) −3056.19 2835.73i −0.271722 0.252121i
\(503\) 5893.52 + 15016.5i 0.522424 + 1.33111i 0.912026 + 0.410131i \(0.134517\pi\)
−0.389602 + 0.920983i \(0.627388\pi\)
\(504\) 20091.6 6197.42i 1.77569 0.547728i
\(505\) 12976.1 6248.96i 1.14342 0.550643i
\(506\) 2304.33 5871.35i 0.202451 0.515836i
\(507\) −1331.95 + 17773.7i −0.116675 + 1.55692i
\(508\) −15598.9 + 19560.4i −1.36238 + 1.70837i
\(509\) 8856.39 15339.7i 0.771223 1.33580i −0.165670 0.986181i \(-0.552979\pi\)
0.936893 0.349616i \(-0.113688\pi\)
\(510\) 20791.5 + 36012.0i 1.80522 + 3.12674i
\(511\) −6711.57 1011.61i −0.581022 0.0875750i
\(512\) 17925.8 + 8632.63i 1.54730 + 0.745141i
\(513\) −2354.87 + 2185.00i −0.202670 + 0.188051i
\(514\) −2439.22 + 10686.9i −0.209318 + 0.917081i
\(515\) 15298.1 1.30896
\(516\) 33735.0 + 21125.5i 2.87810 + 1.80232i
\(517\) 399.150 0.0339547
\(518\) −1787.81 + 7832.89i −0.151644 + 0.664397i
\(519\) −10437.5 + 9684.61i −0.882768 + 0.819089i
\(520\) 9752.76 + 4696.68i 0.822474 + 0.396083i
\(521\) −9996.56 1506.74i −0.840609 0.126701i −0.285396 0.958410i \(-0.592125\pi\)
−0.555213 + 0.831708i \(0.687363\pi\)
\(522\) −6281.94 10880.6i −0.526730 0.912322i
\(523\) −4935.58 + 8548.68i −0.412654 + 0.714737i −0.995179 0.0980755i \(-0.968731\pi\)
0.582525 + 0.812813i \(0.302065\pi\)
\(524\) 6043.07 7577.78i 0.503803 0.631749i
\(525\) 2094.81 27953.4i 0.174143 2.32378i
\(526\) 4360.33 11109.9i 0.361444 0.920944i
\(527\) 5011.39 2413.36i 0.414231 0.199483i
\(528\) 4549.51 1403.34i 0.374985 0.115668i
\(529\) 3918.77 + 9984.86i 0.322082 + 0.820651i
\(530\) 5511.49 + 5113.91i 0.451705 + 0.419121i
\(531\) −36013.2 + 24553.4i −2.94320 + 2.00664i
\(532\) 1579.15 + 1980.19i 0.128693 + 0.161376i
\(533\) −3402.09 + 512.783i −0.276475 + 0.0416718i
\(534\) −36832.6 11361.4i −2.98484 0.920700i
\(535\) 697.231 + 9303.90i 0.0563438 + 0.751855i
\(536\) 1183.14 + 806.648i 0.0953427 + 0.0650036i
\(537\) 160.854 + 704.748i 0.0129262 + 0.0566334i
\(538\) −1530.63 6706.11i −0.122658 0.537400i
\(539\) −1631.88 1112.60i −0.130408 0.0889110i
\(540\) −5256.40 70141.7i −0.418888 5.58967i
\(541\) 10995.6 + 3391.69i 0.873821 + 0.269538i 0.699052 0.715071i \(-0.253606\pi\)
0.174770 + 0.984609i \(0.444082\pi\)
\(542\) −10563.5 + 1592.19i −0.837158 + 0.126181i
\(543\) 7494.38 + 9397.65i 0.592292 + 0.742711i
\(544\) −93.6453 + 63.8463i −0.00738053 + 0.00503196i
\(545\) −18062.3 16759.4i −1.41964 1.31724i
\(546\) 2239.94 + 5707.27i 0.175569 + 0.447341i
\(547\) −20241.4 + 6243.64i −1.58219 + 0.488041i −0.956427 0.291971i \(-0.905689\pi\)
−0.625764 + 0.780012i \(0.715213\pi\)
\(548\) −28773.9 + 13856.8i −2.24300 + 1.08017i
\(549\) 17181.3 43777.3i 1.33567 3.40322i
\(550\) 937.461 12509.5i 0.0726790 0.969834i
\(551\) 470.890 590.478i 0.0364076 0.0456537i
\(552\) −26091.0 + 45191.0i −2.01179 + 3.48452i
\(553\) 2677.97 + 4638.38i 0.205929 + 0.356680i
\(554\) 16212.3 + 2443.61i 1.24331 + 0.187399i
\(555\) 25598.4 + 12327.6i 1.95783 + 0.942839i
\(556\) −1589.15 + 1474.51i −0.121214 + 0.112470i
\(557\) −494.499 + 2166.54i −0.0376169 + 0.164810i −0.990247 0.139320i \(-0.955508\pi\)
0.952631 + 0.304130i \(0.0983656\pi\)
\(558\) −29914.9 −2.26953
\(559\) −1766.22 + 3354.20i −0.133637 + 0.253788i
\(560\) −13756.0 −1.03803
\(561\) −779.764 + 3416.37i −0.0586839 + 0.257111i
\(562\) −3917.36 + 3634.78i −0.294028 + 0.272818i
\(563\) 13516.8 + 6509.36i 1.01184 + 0.487277i 0.864941 0.501874i \(-0.167356\pi\)
0.146900 + 0.989151i \(0.453070\pi\)
\(564\) −6543.50 986.274i −0.488530 0.0736341i
\(565\) −12677.2 21957.5i −0.943953 1.63497i
\(566\) 8459.68 14652.6i 0.628245 1.08815i
\(567\) 3323.08 4167.01i 0.246131 0.308639i
\(568\) 2367.60 31593.4i 0.174898 2.33386i
\(569\) −2995.57 + 7632.58i −0.220704 + 0.562345i −0.997746 0.0671039i \(-0.978624\pi\)
0.777042 + 0.629449i \(0.216719\pi\)
\(570\) 12112.4 5833.04i 0.890060 0.428630i
\(571\) 4176.85 1288.39i 0.306122 0.0944261i −0.137888 0.990448i \(-0.544032\pi\)
0.444010 + 0.896022i \(0.353555\pi\)
\(572\) 667.836 + 1701.62i 0.0488175 + 0.124385i
\(573\) 26048.6 + 24169.5i 1.89912 + 1.76212i
\(574\) 10908.4 7437.25i 0.793222 0.540810i
\(575\) 28388.9 + 35598.6i 2.05896 + 2.58185i
\(576\) 26193.9 3948.09i 1.89481 0.285597i
\(577\) −7652.68 2360.54i −0.552141 0.170313i 0.00611572 0.999981i \(-0.498053\pi\)
−0.558256 + 0.829668i \(0.688529\pi\)
\(578\) −1004.49 13404.0i −0.0722859 0.964588i
\(579\) −29232.3 19930.2i −2.09819 1.43052i
\(580\) 3679.78 + 16122.2i 0.263439 + 1.15420i
\(581\) −119.635 524.157i −0.00854271 0.0374281i
\(582\) 28156.9 + 19197.1i 2.00540 + 1.36726i
\(583\) 47.3484 + 631.821i 0.00336359 + 0.0448840i
\(584\) 24013.1 + 7407.05i 1.70149 + 0.524839i
\(585\) 14031.7 2114.94i 0.991694 0.149474i
\(586\) −22327.4 27997.6i −1.57395 1.97367i
\(587\) −212.252 + 144.711i −0.0149243 + 0.0101752i −0.570759 0.821117i \(-0.693351\pi\)
0.555835 + 0.831293i \(0.312399\pi\)
\(588\) 24003.3 + 22271.8i 1.68347 + 1.56203i
\(589\) −656.980 1673.96i −0.0459599 0.117104i
\(590\) 82285.0 25381.6i 5.74173 1.77109i
\(591\) 13093.0 6305.24i 0.911291 0.438855i
\(592\) 3598.92 9169.89i 0.249856 0.636622i
\(593\) 633.182 8449.22i 0.0438477 0.585106i −0.931401 0.363995i \(-0.881413\pi\)
0.975249 0.221111i \(-0.0709684\pi\)
\(594\) 5547.17 6955.93i 0.383170 0.480480i
\(595\) 5062.37 8768.28i 0.348802 0.604142i
\(596\) −3822.51 6620.78i −0.262712 0.455030i
\(597\) −25956.0 3912.24i −1.77941 0.268203i
\(598\) −8972.57 4320.96i −0.613571 0.295480i
\(599\) −11281.7 + 10467.9i −0.769548 + 0.714036i −0.963715 0.266933i \(-0.913990\pi\)
0.194168 + 0.980968i \(0.437799\pi\)
\(600\) −23094.2 + 101182.i −1.57136 + 6.88458i
\(601\) 7309.50 0.496108 0.248054 0.968746i \(-0.420209\pi\)
0.248054 + 0.968746i \(0.420209\pi\)
\(602\) 521.785 14537.3i 0.0353262 0.984215i
\(603\) 1877.16 0.126772
\(604\) −4137.21 + 18126.3i −0.278709 + 1.22111i
\(605\) −19039.6 + 17666.1i −1.27945 + 1.18716i
\(606\) −27211.1 13104.2i −1.82405 0.878416i
\(607\) 20685.8 + 3117.89i 1.38322 + 0.208486i 0.798130 0.602485i \(-0.205823\pi\)
0.585086 + 0.810971i \(0.301061\pi\)
\(608\) 18.3213 + 31.7334i 0.00122208 + 0.00211671i
\(609\) −2337.02 + 4047.84i −0.155502 + 0.269338i
\(610\) −57928.0 + 72639.4i −3.84498 + 4.82145i
\(611\) 47.0968 628.464i 0.00311839 0.0416120i
\(612\) 13891.2 35394.3i 0.917516 2.33779i
\(613\) −23708.9 + 11417.6i −1.56214 + 0.752288i −0.997337 0.0729349i \(-0.976763\pi\)
−0.564806 + 0.825223i \(0.691049\pi\)
\(614\) 3904.39 1204.35i 0.256626 0.0791587i
\(615\) −17057.3 43461.2i −1.11840 2.84963i
\(616\) −2566.03 2380.93i −0.167838 0.155731i
\(617\) −735.504 + 501.458i −0.0479907 + 0.0327195i −0.587078 0.809531i \(-0.699722\pi\)
0.539087 + 0.842250i \(0.318769\pi\)
\(618\) −20001.7 25081.4i −1.30192 1.63256i
\(619\) −457.024 + 68.8853i −0.0296758 + 0.00447291i −0.163863 0.986483i \(-0.552396\pi\)
0.134188 + 0.990956i \(0.457158\pi\)
\(620\) 37625.2 + 11605.8i 2.43720 + 0.751776i
\(621\) 2413.23 + 32202.4i 0.155942 + 2.08090i
\(622\) −17398.4 11862.0i −1.12156 0.764669i
\(623\) 2088.37 + 9149.74i 0.134300 + 0.588405i
\(624\) −1672.75 7328.81i −0.107314 0.470172i
\(625\) 30833.2 + 21021.7i 1.97332 + 1.34539i
\(626\) 370.960 + 4950.12i 0.0236846 + 0.316049i
\(627\) 1082.58 + 333.933i 0.0689541 + 0.0212695i
\(628\) 42410.1 6392.29i 2.69482 0.406179i
\(629\) 4520.58 + 5668.62i 0.286562 + 0.359337i
\(630\) −44991.2 + 30674.5i −2.84523 + 1.93984i
\(631\) 17053.9 + 15823.7i 1.07592 + 0.998307i 0.999999 + 0.00119333i \(0.000379849\pi\)
0.0759200 + 0.997114i \(0.475811\pi\)
\(632\) −7244.63 18459.0i −0.455974 1.16180i
\(633\) 24349.2 7510.73i 1.52890 0.471603i
\(634\) 13135.5 6325.71i 0.822833 0.396256i
\(635\) 11812.9 30098.8i 0.738238 1.88100i
\(636\) 784.978 10474.8i 0.0489409 0.653071i
\(637\) −1944.34 + 2438.13i −0.120938 + 0.151652i
\(638\) −1045.85 + 1811.47i −0.0648992 + 0.112409i
\(639\) −20766.1 35967.9i −1.28559 2.22671i
\(640\) −51351.4 7739.98i −3.17163 0.478046i
\(641\) −23371.0 11254.9i −1.44009 0.693512i −0.459249 0.888307i \(-0.651881\pi\)
−0.980844 + 0.194795i \(0.937596\pi\)
\(642\) 14342.2 13307.7i 0.881688 0.818086i
\(643\) 6108.23 26761.9i 0.374627 1.64135i −0.338974 0.940796i \(-0.610080\pi\)
0.713601 0.700552i \(-0.247063\pi\)
\(644\) 25460.5 1.55789
\(645\) −49709.4 13238.5i −3.03459 0.808164i
\(646\) 3430.70 0.208946
\(647\) −4210.57 + 18447.7i −0.255850 + 1.12095i 0.669792 + 0.742549i \(0.266383\pi\)
−0.925642 + 0.378401i \(0.876474\pi\)
\(648\) −14465.3 + 13421.9i −0.876931 + 0.813673i
\(649\) 6537.97 + 3148.52i 0.395436 + 0.190432i
\(650\) −19585.7 2952.07i −1.18187 0.178138i
\(651\) 5564.51 + 9638.01i 0.335008 + 0.580251i
\(652\) 24673.6 42736.0i 1.48205 2.56698i
\(653\) 15549.9 19499.0i 0.931877 1.16854i −0.0535716 0.998564i \(-0.517061\pi\)
0.985449 0.169973i \(-0.0543680\pi\)
\(654\) −3861.33 + 51525.8i −0.230871 + 3.08076i
\(655\) −4576.38 + 11660.4i −0.272998 + 0.695589i
\(656\) −14584.5 + 7023.51i −0.868030 + 0.418021i
\(657\) 31478.9 9709.96i 1.86927 0.576593i
\(658\) 883.543 + 2251.23i 0.0523467 + 0.133377i
\(659\) −9865.41 9153.77i −0.583159 0.541093i 0.332471 0.943113i \(-0.392118\pi\)
−0.915631 + 0.402021i \(0.868308\pi\)
\(660\) −20495.8 + 13973.8i −1.20878 + 0.824134i
\(661\) 5337.59 + 6693.12i 0.314082 + 0.393846i 0.913666 0.406465i \(-0.133239\pi\)
−0.599584 + 0.800312i \(0.704667\pi\)
\(662\) 38077.0 5739.18i 2.23550 0.336948i
\(663\) 5287.08 + 1630.85i 0.309703 + 0.0955308i
\(664\) 148.753 + 1984.97i 0.00869389 + 0.116012i
\(665\) −2704.55 1843.93i −0.157711 0.107526i
\(666\) −8677.09 38016.8i −0.504850 2.21189i
\(667\) −1689.40 7401.76i −0.0980719 0.429681i
\(668\) −7971.79 5435.08i −0.461734 0.314805i
\(669\) 3117.88 + 41605.2i 0.180186 + 2.40441i
\(670\) −3543.77 1093.11i −0.204340 0.0630305i
\(671\) −7742.07 + 1166.93i −0.445424 + 0.0671368i
\(672\) −141.390 177.297i −0.00811641 0.0101777i
\(673\) 11686.5 7967.75i 0.669366 0.456366i −0.180353 0.983602i \(-0.557724\pi\)
0.849719 + 0.527236i \(0.176772\pi\)
\(674\) −27536.9 25550.5i −1.57371 1.46019i
\(675\) 23464.6 + 59786.8i 1.33800 + 3.40918i
\(676\) −30766.9 + 9490.34i −1.75051 + 0.539960i
\(677\) −22572.6 + 10870.4i −1.28144 + 0.617109i −0.945760 0.324867i \(-0.894680\pi\)
−0.335680 + 0.941976i \(0.608966\pi\)
\(678\) −19424.6 + 49493.2i −1.10029 + 2.80350i
\(679\) 620.073 8274.30i 0.0350460 0.467656i
\(680\) −23372.0 + 29307.5i −1.31805 + 1.65278i
\(681\) −20515.1 + 35533.1i −1.15439 + 1.99946i
\(682\) 2490.20 + 4313.15i 0.139816 + 0.242169i
\(683\) −16667.0 2512.14i −0.933740 0.140739i −0.335486 0.942045i \(-0.608901\pi\)
−0.598254 + 0.801306i \(0.704139\pi\)
\(684\) −11075.4 5333.61i −0.619118 0.298152i
\(685\) 30256.5 28074.0i 1.68765 1.56591i
\(686\) 6600.41 28918.3i 0.367354 1.60948i
\(687\) 39830.3 2.21197
\(688\) −3289.16 + 17529.7i −0.182265 + 0.971386i
\(689\) 1000.39 0.0553148
\(690\) 30072.2 131755.i 1.65917 7.26930i
\(691\) 3647.94 3384.79i 0.200831 0.186344i −0.573346 0.819314i \(-0.694355\pi\)
0.774176 + 0.632970i \(0.218164\pi\)
\(692\) −23173.9 11160.0i −1.27304 0.613062i
\(693\) −4537.54 683.924i −0.248726 0.0374894i
\(694\) 30084.4 + 52107.7i 1.64551 + 2.85012i
\(695\) 1400.86 2426.36i 0.0764569 0.132427i
\(696\) 10789.6 13529.7i 0.587612 0.736842i
\(697\) 890.364 11881.1i 0.0483858 0.645664i
\(698\) 6468.00 16480.2i 0.350741 0.893674i
\(699\) 39929.3 19228.9i 2.16061 1.04049i
\(700\) 48388.4 14925.8i 2.61273 0.805919i
\(701\) −4241.04 10806.0i −0.228505 0.582221i 0.769931 0.638127i \(-0.220290\pi\)
−0.998436 + 0.0559062i \(0.982195\pi\)
\(702\) −10297.6 9554.79i −0.553645 0.513707i
\(703\) 1936.76 1320.46i 0.103906 0.0708422i
\(704\) −2749.69 3448.00i −0.147206 0.184590i
\(705\) 8456.79 1274.66i 0.451774 0.0680940i
\(706\) 10732.8 + 3310.63i 0.572145 + 0.176484i
\(707\) 549.539 + 7333.09i 0.0292327 + 0.390084i
\(708\) −99401.0 67770.4i −5.27644 3.59741i
\(709\) 1928.45 + 8449.09i 0.102150 + 0.447549i 0.999974 + 0.00719434i \(0.00229005\pi\)
−0.897824 + 0.440354i \(0.854853\pi\)
\(710\) 18258.1 + 79994.2i 0.965093 + 4.22835i
\(711\) −21478.1 14643.5i −1.13290 0.772396i
\(712\) −2596.65 34649.9i −0.136676 1.82382i
\(713\) −17273.9 5328.29i −0.907310 0.279868i
\(714\) −20994.6 + 3164.42i −1.10042 + 0.165862i
\(715\) −1472.98 1847.05i −0.0770436 0.0966097i
\(716\) −1078.93 + 735.604i −0.0563151 + 0.0383950i
\(717\) 28107.3 + 26079.7i 1.46400 + 1.35839i
\(718\) 9131.28 + 23266.1i 0.474619 + 1.20931i
\(719\) −1403.29 + 432.857i −0.0727869 + 0.0224518i −0.330935 0.943654i \(-0.607364\pi\)
0.258148 + 0.966105i \(0.416888\pi\)
\(720\) 60152.8 28968.1i 3.11356 1.49941i
\(721\) −2853.68 + 7271.05i −0.147401 + 0.375573i
\(722\) −2426.57 + 32380.4i −0.125080 + 1.66907i
\(723\) −30882.5 + 38725.5i −1.58857 + 1.99200i
\(724\) −10856.8 + 18804.6i −0.557308 + 0.965286i
\(725\) −7549.94 13076.9i −0.386755 0.669880i
\(726\) 53857.4 + 8117.70i 2.75322 + 0.414981i
\(727\) 8533.90 + 4109.71i 0.435358 + 0.209657i 0.638709 0.769449i \(-0.279469\pi\)
−0.203351 + 0.979106i \(0.565183\pi\)
\(728\) −4051.55 + 3759.29i −0.206264 + 0.191385i
\(729\) 5579.05 24443.4i 0.283445 1.24185i
\(730\) −65081.4 −3.29969
\(731\) −9963.24 8547.69i −0.504109 0.432487i
\(732\) 129804. 6.55421
\(733\) 143.580 629.065i 0.00723499 0.0316986i −0.971182 0.238341i \(-0.923396\pi\)
0.978417 + 0.206642i \(0.0662536\pi\)
\(734\) −10527.9 + 9768.49i −0.529418 + 0.491228i
\(735\) −38127.7 18361.3i −1.91342 0.921452i
\(736\) 364.234 + 54.8994i 0.0182416 + 0.00274948i
\(737\) −156.260 270.650i −0.00780992 0.0135272i
\(738\) −32039.1 + 55493.4i −1.59807 + 2.76794i
\(739\) −19343.8 + 24256.3i −0.962886 + 1.20742i 0.0153408 + 0.999882i \(0.495117\pi\)
−0.978227 + 0.207539i \(0.933455\pi\)
\(740\) −3835.54 + 51181.7i −0.190537 + 2.54254i
\(741\) 653.516 1665.13i 0.0323988 0.0825508i
\(742\) −3458.70 + 1665.62i −0.171122 + 0.0824082i
\(743\) 14782.6 4559.83i 0.729907 0.225146i 0.0925422 0.995709i \(-0.470501\pi\)
0.637365 + 0.770562i \(0.280024\pi\)
\(744\) −15053.5 38355.6i −0.741784 1.89003i
\(745\) 7242.83 + 6720.36i 0.356184 + 0.330490i
\(746\) −8721.71 + 5946.36i −0.428049 + 0.291839i
\(747\) 1626.94 + 2040.12i 0.0796876 + 0.0999252i
\(748\) −6259.52 + 943.472i −0.305977 + 0.0461186i
\(749\) −4552.12 1404.14i −0.222071 0.0684997i
\(750\) −11742.9 156698.i −0.571719 7.62906i
\(751\) 19039.8 + 12981.1i 0.925131 + 0.630744i 0.929331 0.369247i \(-0.120384\pi\)
−0.00419988 + 0.999991i \(0.501337\pi\)
\(752\) −659.818 2890.85i −0.0319961 0.140184i
\(753\) −1675.10 7339.08i −0.0810676 0.355180i
\(754\) 2728.77 + 1860.44i 0.131798 + 0.0898584i
\(755\) −1795.67 23961.6i −0.0865578 1.15503i
\(756\) 34318.3 + 10585.8i 1.65098 + 0.509261i
\(757\) −34599.2 + 5214.99i −1.66120 + 0.250386i −0.911473 0.411359i \(-0.865054\pi\)