Properties

Label 230.4.g.b.41.1
Level $230$
Weight $4$
Character 230.41
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 41.1
Character \(\chi\) \(=\) 230.41
Dual form 230.4.g.b.101.1

$q$-expansion

\(f(q)\) \(=\) \(q+(1.91899 + 0.563465i) q^{2} +(-4.61458 + 5.32551i) q^{3} +(3.36501 + 2.16256i) q^{4} +(-0.711574 + 4.94911i) q^{5} +(-11.8561 + 7.61942i) q^{6} +(10.2472 + 22.4383i) q^{7} +(5.23889 + 6.04600i) q^{8} +(-3.22420 - 22.4248i) q^{9} +O(q^{10})\) \(q+(1.91899 + 0.563465i) q^{2} +(-4.61458 + 5.32551i) q^{3} +(3.36501 + 2.16256i) q^{4} +(-0.711574 + 4.94911i) q^{5} +(-11.8561 + 7.61942i) q^{6} +(10.2472 + 22.4383i) q^{7} +(5.23889 + 6.04600i) q^{8} +(-3.22420 - 22.4248i) q^{9} +(-4.15415 + 9.09632i) q^{10} +(-2.47957 + 0.728066i) q^{11} +(-27.0449 + 7.94109i) q^{12} +(-2.22139 + 4.86418i) q^{13} +(7.02108 + 48.8327i) q^{14} +(-23.0729 - 26.6276i) q^{15} +(6.64664 + 14.5541i) q^{16} +(-16.7875 + 10.7886i) q^{17} +(6.44841 - 44.8496i) q^{18} +(-22.8522 - 14.6862i) q^{19} +(-13.0972 + 15.1150i) q^{20} +(-166.782 - 48.9716i) q^{21} -5.16849 q^{22} +(63.7291 - 90.0311i) q^{23} -56.3733 q^{24} +(-23.9873 - 7.04331i) q^{25} +(-7.00362 + 8.08261i) q^{26} +(-25.7548 - 16.5516i) q^{27} +(-14.0422 + 97.6654i) q^{28} +(-187.429 + 120.453i) q^{29} +(-29.2729 - 64.0987i) q^{30} +(-94.2181 - 108.734i) q^{31} +(4.55407 + 31.6743i) q^{32} +(7.56483 - 16.5647i) q^{33} +(-38.2939 + 11.2441i) q^{34} +(-118.341 + 34.7481i) q^{35} +(37.6456 - 82.4324i) q^{36} +(54.9345 + 382.078i) q^{37} +(-35.5779 - 41.0591i) q^{38} +(-15.6534 - 34.2762i) q^{39} +(-33.6501 + 21.6256i) q^{40} +(18.6734 - 129.877i) q^{41} +(-292.458 - 187.952i) q^{42} +(214.474 - 247.516i) q^{43} +(-9.91826 - 2.91226i) q^{44} +113.277 q^{45} +(173.025 - 136.859i) q^{46} +45.1359 q^{47} +(-108.180 - 31.7644i) q^{48} +(-173.854 + 200.638i) q^{49} +(-42.0627 - 27.0320i) q^{50} +(20.0121 - 139.187i) q^{51} +(-17.9941 + 11.5641i) q^{52} +(-80.2516 - 175.727i) q^{53} +(-40.0968 - 46.2742i) q^{54} +(-1.83888 - 12.7897i) q^{55} +(-81.9777 + 179.506i) q^{56} +(183.665 - 53.9290i) q^{57} +(-427.544 + 125.538i) q^{58} +(-168.667 + 369.330i) q^{59} +(-20.0569 - 139.499i) q^{60} +(267.238 + 308.409i) q^{61} +(-119.536 - 261.747i) q^{62} +(470.135 - 302.138i) q^{63} +(-9.10815 + 63.3486i) q^{64} +(-22.4926 - 14.4551i) q^{65} +(23.8504 - 27.5249i) q^{66} +(596.175 + 175.053i) q^{67} -79.8212 q^{68} +(185.379 + 754.846i) q^{69} -246.674 q^{70} +(678.499 + 199.225i) q^{71} +(118.689 - 136.975i) q^{72} +(500.556 + 321.688i) q^{73} +(-109.869 + 764.156i) q^{74} +(148.201 - 95.2428i) q^{75} +(-45.1382 - 98.8388i) q^{76} +(-41.7452 - 48.1765i) q^{77} +(-10.7252 - 74.5957i) q^{78} +(-324.665 + 710.918i) q^{79} +(-76.7594 + 22.5386i) q^{80} +(793.912 - 233.113i) q^{81} +(109.015 - 238.709i) q^{82} +(51.4097 + 357.562i) q^{83} +(-455.319 - 525.466i) q^{84} +(-41.4486 - 90.7599i) q^{85} +(551.038 - 354.131i) q^{86} +(223.431 - 1553.99i) q^{87} +(-17.3920 - 11.1772i) q^{88} +(-301.146 + 347.541i) q^{89} +(217.377 + 63.8277i) q^{90} -131.907 q^{91} +(409.147 - 165.138i) q^{92} +1013.84 q^{93} +(86.6152 + 25.4325i) q^{94} +(88.9448 - 102.648i) q^{95} +(-189.697 - 121.911i) q^{96} +(-69.3341 + 482.229i) q^{97} +(-446.675 + 287.060i) q^{98} +(24.3214 + 53.2564i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.91899 + 0.563465i 0.678464 + 0.199215i
\(3\) −4.61458 + 5.32551i −0.888077 + 1.02489i 0.111439 + 0.993771i \(0.464454\pi\)
−0.999516 + 0.0311237i \(0.990091\pi\)
\(4\) 3.36501 + 2.16256i 0.420627 + 0.270320i
\(5\) −0.711574 + 4.94911i −0.0636451 + 0.442662i
\(6\) −11.8561 + 7.61942i −0.806702 + 0.518436i
\(7\) 10.2472 + 22.4383i 0.553298 + 1.21155i 0.955225 + 0.295881i \(0.0956133\pi\)
−0.401927 + 0.915672i \(0.631659\pi\)
\(8\) 5.23889 + 6.04600i 0.231528 + 0.267198i
\(9\) −3.22420 22.4248i −0.119415 0.830549i
\(10\) −4.15415 + 9.09632i −0.131366 + 0.287651i
\(11\) −2.47957 + 0.728066i −0.0679652 + 0.0199564i −0.315538 0.948913i \(-0.602185\pi\)
0.247573 + 0.968869i \(0.420367\pi\)
\(12\) −27.0449 + 7.94109i −0.650599 + 0.191033i
\(13\) −2.22139 + 4.86418i −0.0473926 + 0.103775i −0.931847 0.362851i \(-0.881803\pi\)
0.884455 + 0.466626i \(0.154531\pi\)
\(14\) 7.02108 + 48.8327i 0.134033 + 0.932220i
\(15\) −23.0729 26.6276i −0.397160 0.458347i
\(16\) 6.64664 + 14.5541i 0.103854 + 0.227408i
\(17\) −16.7875 + 10.7886i −0.239503 + 0.153919i −0.654887 0.755727i \(-0.727284\pi\)
0.415384 + 0.909646i \(0.363647\pi\)
\(18\) 6.44841 44.8496i 0.0844391 0.587287i
\(19\) −22.8522 14.6862i −0.275930 0.177329i 0.395356 0.918528i \(-0.370621\pi\)
−0.671286 + 0.741199i \(0.734258\pi\)
\(20\) −13.0972 + 15.1150i −0.146431 + 0.168991i
\(21\) −166.782 48.9716i −1.73309 0.508880i
\(22\) −5.16849 −0.0500875
\(23\) 63.7291 90.0311i 0.577758 0.816208i
\(24\) −56.3733 −0.479465
\(25\) −23.9873 7.04331i −0.191899 0.0563465i
\(26\) −7.00362 + 8.08261i −0.0528278 + 0.0609665i
\(27\) −25.7548 16.5516i −0.183574 0.117976i
\(28\) −14.0422 + 97.6654i −0.0947757 + 0.659179i
\(29\) −187.429 + 120.453i −1.20016 + 0.771296i −0.978984 0.203938i \(-0.934626\pi\)
−0.221176 + 0.975234i \(0.570990\pi\)
\(30\) −29.2729 64.0987i −0.178149 0.390092i
\(31\) −94.2181 108.734i −0.545873 0.629971i 0.414043 0.910257i \(-0.364116\pi\)
−0.959917 + 0.280286i \(0.909571\pi\)
\(32\) 4.55407 + 31.6743i 0.0251579 + 0.174977i
\(33\) 7.56483 16.5647i 0.0399051 0.0873800i
\(34\) −38.2939 + 11.2441i −0.193157 + 0.0567162i
\(35\) −118.341 + 34.7481i −0.571523 + 0.167814i
\(36\) 37.6456 82.4324i 0.174285 0.381631i
\(37\) 54.9345 + 382.078i 0.244086 + 1.69765i 0.631198 + 0.775622i \(0.282564\pi\)
−0.387112 + 0.922033i \(0.626527\pi\)
\(38\) −35.5779 41.0591i −0.151882 0.175281i
\(39\) −15.6534 34.2762i −0.0642706 0.140733i
\(40\) −33.6501 + 21.6256i −0.133014 + 0.0854828i
\(41\) 18.6734 129.877i 0.0711292 0.494715i −0.922851 0.385157i \(-0.874147\pi\)
0.993980 0.109558i \(-0.0349435\pi\)
\(42\) −292.458 187.952i −1.07446 0.690513i
\(43\) 214.474 247.516i 0.760626 0.877809i −0.234927 0.972013i \(-0.575485\pi\)
0.995553 + 0.0942039i \(0.0300306\pi\)
\(44\) −9.91826 2.91226i −0.0339826 0.00997819i
\(45\) 113.277 0.375252
\(46\) 173.025 136.859i 0.554589 0.438670i
\(47\) 45.1359 0.140080 0.0700399 0.997544i \(-0.477687\pi\)
0.0700399 + 0.997544i \(0.477687\pi\)
\(48\) −108.180 31.7644i −0.325299 0.0955165i
\(49\) −173.854 + 200.638i −0.506862 + 0.584949i
\(50\) −42.0627 27.0320i −0.118971 0.0764582i
\(51\) 20.0121 139.187i 0.0549460 0.382158i
\(52\) −17.9941 + 11.5641i −0.0479872 + 0.0308395i
\(53\) −80.2516 175.727i −0.207989 0.455432i 0.776673 0.629904i \(-0.216906\pi\)
−0.984662 + 0.174471i \(0.944178\pi\)
\(54\) −40.0968 46.2742i −0.101046 0.116613i
\(55\) −1.83888 12.7897i −0.00450827 0.0313557i
\(56\) −81.9777 + 179.506i −0.195620 + 0.428349i
\(57\) 183.665 53.9290i 0.426790 0.125317i
\(58\) −427.544 + 125.538i −0.967919 + 0.284207i
\(59\) −168.667 + 369.330i −0.372180 + 0.814960i 0.627169 + 0.778883i \(0.284213\pi\)
−0.999349 + 0.0360767i \(0.988514\pi\)
\(60\) −20.0569 139.499i −0.0431555 0.300153i
\(61\) 267.238 + 308.409i 0.560923 + 0.647339i 0.963393 0.268094i \(-0.0863938\pi\)
−0.402470 + 0.915433i \(0.631848\pi\)
\(62\) −119.536 261.747i −0.244856 0.536159i
\(63\) 470.135 302.138i 0.940182 0.604218i
\(64\) −9.10815 + 63.3486i −0.0177894 + 0.123728i
\(65\) −22.4926 14.4551i −0.0429211 0.0275837i
\(66\) 23.8504 27.5249i 0.0444816 0.0513345i
\(67\) 596.175 + 175.053i 1.08708 + 0.319195i 0.775707 0.631093i \(-0.217393\pi\)
0.311372 + 0.950288i \(0.399211\pi\)
\(68\) −79.8212 −0.142349
\(69\) 185.379 + 754.846i 0.323434 + 1.31700i
\(70\) −246.674 −0.421189
\(71\) 678.499 + 199.225i 1.13413 + 0.333010i 0.794329 0.607488i \(-0.207823\pi\)
0.339799 + 0.940498i \(0.389641\pi\)
\(72\) 118.689 136.975i 0.194273 0.224203i
\(73\) 500.556 + 321.688i 0.802544 + 0.515764i 0.876445 0.481502i \(-0.159909\pi\)
−0.0739012 + 0.997266i \(0.523545\pi\)
\(74\) −109.869 + 764.156i −0.172595 + 1.20042i
\(75\) 148.201 95.2428i 0.228170 0.146636i
\(76\) −45.1382 98.8388i −0.0681277 0.149179i
\(77\) −41.7452 48.1765i −0.0617832 0.0713016i
\(78\) −10.7252 74.5957i −0.0155692 0.108286i
\(79\) −324.665 + 710.918i −0.462376 + 1.01246i 0.524563 + 0.851371i \(0.324229\pi\)
−0.986940 + 0.161091i \(0.948499\pi\)
\(80\) −76.7594 + 22.5386i −0.107275 + 0.0314987i
\(81\) 793.912 233.113i 1.08904 0.319772i
\(82\) 109.015 238.709i 0.146813 0.321476i
\(83\) 51.4097 + 357.562i 0.0679873 + 0.472862i 0.995163 + 0.0982357i \(0.0313199\pi\)
−0.927176 + 0.374626i \(0.877771\pi\)
\(84\) −455.319 525.466i −0.591422 0.682537i
\(85\) −41.4486 90.7599i −0.0528910 0.115815i
\(86\) 551.038 354.131i 0.690930 0.444034i
\(87\) 223.431 1553.99i 0.275337 1.91501i
\(88\) −17.3920 11.1772i −0.0210682 0.0135397i
\(89\) −301.146 + 347.541i −0.358668 + 0.413925i −0.906193 0.422865i \(-0.861025\pi\)
0.547525 + 0.836789i \(0.315570\pi\)
\(90\) 217.377 + 63.8277i 0.254595 + 0.0747559i
\(91\) −131.907 −0.151952
\(92\) 409.147 165.138i 0.463658 0.187139i
\(93\) 1013.84 1.13043
\(94\) 86.6152 + 25.4325i 0.0950392 + 0.0279060i
\(95\) 88.9448 102.648i 0.0960584 0.110857i
\(96\) −189.697 121.911i −0.201676 0.129609i
\(97\) −69.3341 + 482.229i −0.0725753 + 0.504772i 0.920816 + 0.389997i \(0.127524\pi\)
−0.993391 + 0.114775i \(0.963385\pi\)
\(98\) −446.675 + 287.060i −0.460418 + 0.295893i
\(99\) 24.3214 + 53.2564i 0.0246908 + 0.0540653i
\(100\) −65.4861 75.5750i −0.0654861 0.0755750i
\(101\) 73.4359 + 510.758i 0.0723480 + 0.503191i 0.993486 + 0.113955i \(0.0363519\pi\)
−0.921138 + 0.389236i \(0.872739\pi\)
\(102\) 116.830 255.822i 0.113411 0.248334i
\(103\) −752.865 + 221.061i −0.720214 + 0.211474i −0.621245 0.783617i \(-0.713373\pi\)
−0.0989690 + 0.995091i \(0.531554\pi\)
\(104\) −41.0464 + 12.0523i −0.0387013 + 0.0113637i
\(105\) 361.043 790.575i 0.335564 0.734783i
\(106\) −54.9860 382.436i −0.0503841 0.350429i
\(107\) −844.122 974.169i −0.762658 0.880154i 0.233073 0.972459i \(-0.425122\pi\)
−0.995731 + 0.0923055i \(0.970576\pi\)
\(108\) −50.8713 111.393i −0.0453250 0.0992478i
\(109\) 111.888 71.9057i 0.0983200 0.0631864i −0.490557 0.871409i \(-0.663207\pi\)
0.588877 + 0.808223i \(0.299570\pi\)
\(110\) 3.67776 25.5794i 0.00318783 0.0221718i
\(111\) −2288.26 1470.58i −1.95668 1.25748i
\(112\) −258.460 + 298.278i −0.218055 + 0.251649i
\(113\) 1522.20 + 446.959i 1.26723 + 0.372092i 0.845180 0.534482i \(-0.179493\pi\)
0.422048 + 0.906574i \(0.361311\pi\)
\(114\) 382.838 0.314527
\(115\) 400.226 + 379.466i 0.324532 + 0.307699i
\(116\) −891.188 −0.713316
\(117\) 116.241 + 34.1313i 0.0918499 + 0.0269696i
\(118\) −531.774 + 613.700i −0.414863 + 0.478777i
\(119\) −414.103 266.128i −0.318998 0.205008i
\(120\) 40.1138 278.997i 0.0305156 0.212241i
\(121\) −1114.09 + 715.982i −0.837033 + 0.537928i
\(122\) 339.048 + 742.411i 0.251606 + 0.550940i
\(123\) 605.489 + 698.771i 0.443862 + 0.512245i
\(124\) −81.9022 569.642i −0.0593148 0.412544i
\(125\) 51.9269 113.704i 0.0371558 0.0813600i
\(126\) 1072.43 314.893i 0.758249 0.222642i
\(127\) −292.001 + 85.7394i −0.204023 + 0.0599066i −0.382147 0.924101i \(-0.624815\pi\)
0.178124 + 0.984008i \(0.442997\pi\)
\(128\) −53.1731 + 116.433i −0.0367178 + 0.0804009i
\(129\) 328.442 + 2284.36i 0.224168 + 1.55912i
\(130\) −35.0181 40.4130i −0.0236253 0.0272651i
\(131\) −930.577 2037.68i −0.620648 1.35903i −0.915047 0.403347i \(-0.867847\pi\)
0.294399 0.955683i \(-0.404881\pi\)
\(132\) 61.2779 39.3809i 0.0404057 0.0259672i
\(133\) 95.3621 663.258i 0.0621725 0.432419i
\(134\) 1045.41 + 671.847i 0.673956 + 0.433125i
\(135\) 100.242 115.685i 0.0639071 0.0737527i
\(136\) −153.176 44.9764i −0.0965787 0.0283581i
\(137\) 1948.60 1.21518 0.607592 0.794249i \(-0.292136\pi\)
0.607592 + 0.794249i \(0.292136\pi\)
\(138\) −69.5904 + 1552.99i −0.0429270 + 0.957968i
\(139\) 944.655 0.576436 0.288218 0.957565i \(-0.406937\pi\)
0.288218 + 0.957565i \(0.406937\pi\)
\(140\) −473.364 138.992i −0.285761 0.0839071i
\(141\) −208.283 + 240.372i −0.124402 + 0.143567i
\(142\) 1189.77 + 764.622i 0.703124 + 0.451871i
\(143\) 1.96665 13.6784i 0.00115007 0.00799890i
\(144\) 304.943 195.975i 0.176472 0.113412i
\(145\) −462.766 1013.32i −0.265039 0.580354i
\(146\) 779.301 + 899.361i 0.441749 + 0.509806i
\(147\) −266.237 1851.72i −0.149380 1.03896i
\(148\) −641.412 + 1404.50i −0.356242 + 0.780060i
\(149\) 748.792 219.865i 0.411701 0.120886i −0.0693220 0.997594i \(-0.522084\pi\)
0.481023 + 0.876708i \(0.340265\pi\)
\(150\) 338.061 99.2637i 0.184017 0.0540323i
\(151\) 458.903 1004.86i 0.247318 0.541551i −0.744737 0.667358i \(-0.767425\pi\)
0.992055 + 0.125808i \(0.0401522\pi\)
\(152\) −30.9273 215.104i −0.0165035 0.114784i
\(153\) 296.060 + 341.671i 0.156438 + 0.180539i
\(154\) −52.9627 115.972i −0.0277133 0.0606837i
\(155\) 605.177 388.924i 0.313606 0.201543i
\(156\) 21.4505 149.191i 0.0110091 0.0765697i
\(157\) −2576.57 1655.86i −1.30976 0.841734i −0.315524 0.948918i \(-0.602180\pi\)
−0.994239 + 0.107184i \(0.965817\pi\)
\(158\) −1023.61 + 1181.30i −0.515403 + 0.594807i
\(159\) 1306.16 + 383.524i 0.651480 + 0.191292i
\(160\) −160.000 −0.0790569
\(161\) 2673.19 + 507.403i 1.30855 + 0.248378i
\(162\) 1654.86 0.802579
\(163\) 1572.74 + 461.797i 0.755744 + 0.221907i 0.636837 0.770999i \(-0.280243\pi\)
0.118908 + 0.992905i \(0.462061\pi\)
\(164\) 343.703 396.654i 0.163650 0.188863i
\(165\) 76.5974 + 49.2262i 0.0361400 + 0.0232258i
\(166\) −102.819 + 715.124i −0.0480743 + 0.334364i
\(167\) 213.224 137.031i 0.0988010 0.0634955i −0.490307 0.871550i \(-0.663115\pi\)
0.589108 + 0.808054i \(0.299479\pi\)
\(168\) −577.669 1264.92i −0.265287 0.580897i
\(169\) 1420.00 + 1638.77i 0.646337 + 0.745913i
\(170\) −28.3993 197.522i −0.0128125 0.0891131i
\(171\) −255.656 + 559.809i −0.114330 + 0.250349i
\(172\) 1256.98 369.081i 0.557229 0.163617i
\(173\) −1389.27 + 407.926i −0.610544 + 0.179272i −0.572365 0.819999i \(-0.693974\pi\)
−0.0381791 + 0.999271i \(0.512156\pi\)
\(174\) 1304.38 2856.20i 0.568304 1.24441i
\(175\) −87.7635 610.409i −0.0379103 0.263672i
\(176\) −27.0771 31.2487i −0.0115967 0.0133833i
\(177\) −1188.54 2602.54i −0.504724 1.10519i
\(178\) −773.723 + 497.241i −0.325803 + 0.209381i
\(179\) −523.361 + 3640.06i −0.218535 + 1.51995i 0.524914 + 0.851155i \(0.324097\pi\)
−0.743450 + 0.668792i \(0.766812\pi\)
\(180\) 381.179 + 244.969i 0.157841 + 0.101438i
\(181\) −2877.65 + 3320.98i −1.18173 + 1.36379i −0.265022 + 0.964242i \(0.585379\pi\)
−0.916711 + 0.399550i \(0.869166\pi\)
\(182\) −253.127 74.3249i −0.103094 0.0302710i
\(183\) −2875.62 −1.16160
\(184\) 878.197 86.3569i 0.351856 0.0345995i
\(185\) −1930.03 −0.767021
\(186\) 1945.54 + 571.263i 0.766957 + 0.225199i
\(187\) 33.7708 38.9735i 0.0132062 0.0152408i
\(188\) 151.883 + 97.6093i 0.0589213 + 0.0378665i
\(189\) 107.474 747.500i 0.0413630 0.287686i
\(190\) 228.522 146.862i 0.0872566 0.0560764i
\(191\) −938.249 2054.48i −0.355441 0.778308i −0.999907 0.0136743i \(-0.995647\pi\)
0.644465 0.764634i \(-0.277080\pi\)
\(192\) −295.333 340.833i −0.111010 0.128112i
\(193\) 120.409 + 837.465i 0.0449080 + 0.312342i 0.999878 + 0.0156388i \(0.00497819\pi\)
−0.954970 + 0.296703i \(0.904113\pi\)
\(194\) −404.770 + 886.323i −0.149798 + 0.328012i
\(195\) 180.775 53.0804i 0.0663876 0.0194931i
\(196\) −1018.91 + 299.179i −0.371323 + 0.109030i
\(197\) −1623.46 + 3554.88i −0.587141 + 1.28566i 0.350014 + 0.936744i \(0.386177\pi\)
−0.937155 + 0.348914i \(0.886550\pi\)
\(198\) 16.6643 + 115.903i 0.00598120 + 0.0416002i
\(199\) −1653.22 1907.92i −0.588913 0.679642i 0.380584 0.924746i \(-0.375723\pi\)
−0.969497 + 0.245105i \(0.921178\pi\)
\(200\) −83.0830 181.926i −0.0293743 0.0643207i
\(201\) −3683.34 + 2367.14i −1.29255 + 0.830672i
\(202\) −146.872 + 1021.52i −0.0511577 + 0.355810i
\(203\) −4623.38 2971.27i −1.59851 1.02730i
\(204\) 368.341 425.089i 0.126417 0.145893i
\(205\) 629.485 + 184.834i 0.214464 + 0.0629724i
\(206\) −1569.30 −0.530768
\(207\) −2224.41 1138.84i −0.746894 0.382389i
\(208\) −85.5586 −0.0285212
\(209\) 67.3562 + 19.7776i 0.0222925 + 0.00654566i
\(210\) 1138.30 1313.67i 0.374048 0.431674i
\(211\) 2524.98 + 1622.71i 0.823823 + 0.529439i 0.883310 0.468790i \(-0.155310\pi\)
−0.0594864 + 0.998229i \(0.518946\pi\)
\(212\) 109.972 764.872i 0.0356269 0.247791i
\(213\) −4191.97 + 2694.01i −1.34849 + 0.866624i
\(214\) −1070.95 2345.05i −0.342096 0.749085i
\(215\) 1072.37 + 1237.58i 0.340162 + 0.392568i
\(216\) −34.8555 242.425i −0.0109797 0.0763655i
\(217\) 1474.32 3228.31i 0.461213 1.00992i
\(218\) 255.227 74.9414i 0.0792943 0.0232829i
\(219\) −4023.01 + 1181.26i −1.24132 + 0.364486i
\(220\) 21.4707 47.0143i 0.00657979 0.0144077i
\(221\) −15.1863 105.623i −0.00462236 0.0321492i
\(222\) −3562.52 4111.37i −1.07703 1.24296i
\(223\) −387.674 848.888i −0.116415 0.254914i 0.842451 0.538774i \(-0.181112\pi\)
−0.958866 + 0.283860i \(0.908385\pi\)
\(224\) −664.050 + 426.759i −0.198075 + 0.127295i
\(225\) −80.6051 + 560.621i −0.0238830 + 0.166110i
\(226\) 2669.24 + 1715.42i 0.785642 + 0.504901i
\(227\) 1421.21 1640.16i 0.415546 0.479566i −0.508929 0.860809i \(-0.669958\pi\)
0.924475 + 0.381243i \(0.124504\pi\)
\(228\) 734.661 + 215.716i 0.213395 + 0.0626585i
\(229\) 1326.31 0.382730 0.191365 0.981519i \(-0.438709\pi\)
0.191365 + 0.981519i \(0.438709\pi\)
\(230\) 554.212 + 953.703i 0.158885 + 0.273414i
\(231\) 449.201 0.127945
\(232\) −1710.18 502.153i −0.483960 0.142103i
\(233\) 3556.45 4104.36i 0.999961 1.15402i 0.0119036 0.999929i \(-0.496211\pi\)
0.988057 0.154087i \(-0.0492437\pi\)
\(234\) 203.832 + 130.995i 0.0569441 + 0.0365958i
\(235\) −32.1176 + 223.383i −0.00891540 + 0.0620080i
\(236\) −1366.27 + 878.046i −0.376849 + 0.242186i
\(237\) −2287.81 5009.60i −0.627042 1.37303i
\(238\) −644.705 744.029i −0.175588 0.202640i
\(239\) −352.212 2449.69i −0.0953250 0.663000i −0.980322 0.197404i \(-0.936749\pi\)
0.884997 0.465596i \(-0.154160\pi\)
\(240\) 234.183 512.789i 0.0629852 0.137918i
\(241\) −701.244 + 205.904i −0.187432 + 0.0550350i −0.374101 0.927388i \(-0.622049\pi\)
0.186669 + 0.982423i \(0.440231\pi\)
\(242\) −2541.35 + 746.209i −0.675060 + 0.198215i
\(243\) −2078.74 + 4551.81i −0.548770 + 1.20164i
\(244\) 232.305 + 1615.72i 0.0609501 + 0.423917i
\(245\) −869.268 1003.19i −0.226675 0.261597i
\(246\) 768.191 + 1682.10i 0.199098 + 0.435964i
\(247\) 122.200 78.5333i 0.0314794 0.0202306i
\(248\) 163.804 1139.28i 0.0419419 0.291712i
\(249\) −2141.44 1376.22i −0.545012 0.350258i
\(250\) 163.715 188.937i 0.0414170 0.0477978i
\(251\) −1612.40 473.443i −0.405473 0.119058i 0.0726351 0.997359i \(-0.476859\pi\)
−0.478108 + 0.878301i \(0.658677\pi\)
\(252\) 2235.40 0.558798
\(253\) −92.4719 + 269.637i −0.0229789 + 0.0670037i
\(254\) −608.658 −0.150357
\(255\) 674.611 + 198.084i 0.165670 + 0.0486450i
\(256\) −167.644 + 193.472i −0.0409288 + 0.0472343i
\(257\) −57.4556 36.9245i −0.0139455 0.00896220i 0.533650 0.845706i \(-0.320820\pi\)
−0.547595 + 0.836744i \(0.684457\pi\)
\(258\) −656.884 + 4568.73i −0.158511 + 1.10247i
\(259\) −8010.24 + 5147.87i −1.92175 + 1.23503i
\(260\) −44.4279 97.2835i −0.0105973 0.0232049i
\(261\) 3305.45 + 3814.69i 0.783916 + 0.904687i
\(262\) −637.603 4434.63i −0.150348 1.04570i
\(263\) 2741.53 6003.11i 0.642776 1.40748i −0.254962 0.966951i \(-0.582063\pi\)
0.897737 0.440531i \(-0.145210\pi\)
\(264\) 139.781 41.0435i 0.0325869 0.00956838i
\(265\) 926.795 272.131i 0.214840 0.0630827i
\(266\) 556.721 1219.05i 0.128326 0.280995i
\(267\) −461.171 3207.51i −0.105705 0.735194i
\(268\) 1627.57 + 1878.32i 0.370970 + 0.428122i
\(269\) 3326.68 + 7284.40i 0.754019 + 1.65107i 0.759007 + 0.651083i \(0.225685\pi\)
−0.00498831 + 0.999988i \(0.501588\pi\)
\(270\) 257.548 165.516i 0.0580513 0.0373073i
\(271\) −362.837 + 2523.59i −0.0813313 + 0.565671i 0.907886 + 0.419217i \(0.137695\pi\)
−0.989217 + 0.146455i \(0.953214\pi\)
\(272\) −268.599 172.618i −0.0598758 0.0384799i
\(273\) 608.695 702.471i 0.134945 0.155734i
\(274\) 3739.34 + 1097.97i 0.824459 + 0.242083i
\(275\) 64.6061 0.0141669
\(276\) −1008.60 + 2940.96i −0.219966 + 0.641395i
\(277\) 3986.50 0.864712 0.432356 0.901703i \(-0.357682\pi\)
0.432356 + 0.901703i \(0.357682\pi\)
\(278\) 1812.78 + 532.280i 0.391091 + 0.114835i
\(279\) −2134.55 + 2463.40i −0.458037 + 0.528603i
\(280\) −830.062 533.449i −0.177163 0.113856i
\(281\) 425.994 2962.85i 0.0904365 0.629000i −0.893311 0.449440i \(-0.851624\pi\)
0.983747 0.179560i \(-0.0574673\pi\)
\(282\) −535.134 + 343.910i −0.113003 + 0.0726225i
\(283\) 3167.26 + 6935.33i 0.665279 + 1.45676i 0.877520 + 0.479540i \(0.159197\pi\)
−0.212241 + 0.977217i \(0.568076\pi\)
\(284\) 1852.32 + 2137.69i 0.387025 + 0.446651i
\(285\) 136.209 + 947.353i 0.0283099 + 0.196900i
\(286\) 11.4813 25.1404i 0.00237378 0.00519785i
\(287\) 3105.56 911.873i 0.638729 0.187548i
\(288\) 695.607 204.249i 0.142323 0.0417898i
\(289\) −1875.51 + 4106.79i −0.381744 + 0.835904i
\(290\) −317.073 2205.29i −0.0642041 0.446549i
\(291\) −2248.17 2594.52i −0.452886 0.522659i
\(292\) 988.709 + 2164.97i 0.198150 + 0.433888i
\(293\) 2840.17 1825.26i 0.566294 0.363935i −0.225950 0.974139i \(-0.572549\pi\)
0.792245 + 0.610204i \(0.208912\pi\)
\(294\) 532.474 3703.44i 0.105628 0.734656i
\(295\) −1707.83 1097.56i −0.337064 0.216618i
\(296\) −2022.25 + 2333.80i −0.397097 + 0.458274i
\(297\) 75.9113 + 22.2896i 0.0148310 + 0.00435479i
\(298\) 1560.81 0.303407
\(299\) 296.360 + 509.984i 0.0573208 + 0.0986393i
\(300\) 704.666 0.135613
\(301\) 7751.58 + 2276.07i 1.48436 + 0.435849i
\(302\) 1446.83 1669.73i 0.275681 0.318153i
\(303\) −3058.92 1965.85i −0.579969 0.372723i
\(304\) 61.8546 430.208i 0.0116697 0.0811649i
\(305\) −1716.51 + 1103.13i −0.322252 + 0.207099i
\(306\) 375.615 + 822.481i 0.0701714 + 0.153654i
\(307\) 4564.41 + 5267.60i 0.848548 + 0.979277i 0.999958 0.00919406i \(-0.00292660\pi\)
−0.151409 + 0.988471i \(0.548381\pi\)
\(308\) −36.2884 252.391i −0.00671339 0.0466926i
\(309\) 2296.89 5029.50i 0.422866 0.925948i
\(310\) 1380.47 405.343i 0.252921 0.0742643i
\(311\) 6583.88 1933.20i 1.20044 0.352481i 0.380420 0.924814i \(-0.375779\pi\)
0.820022 + 0.572332i \(0.193961\pi\)
\(312\) 125.227 274.210i 0.0227231 0.0497566i
\(313\) −1134.06 7887.59i −0.204796 1.42439i −0.789804 0.613359i \(-0.789818\pi\)
0.585009 0.811027i \(-0.301091\pi\)
\(314\) −4011.39 4629.39i −0.720941 0.832011i
\(315\) 1160.78 + 2541.74i 0.207626 + 0.454638i
\(316\) −2629.91 + 1690.14i −0.468177 + 0.300879i
\(317\) 770.879 5361.58i 0.136583 0.949957i −0.800122 0.599837i \(-0.795232\pi\)
0.936705 0.350119i \(-0.113859\pi\)
\(318\) 2290.40 + 1471.95i 0.403898 + 0.259569i
\(319\) 377.044 435.132i 0.0661768 0.0763721i
\(320\) −307.038 90.1544i −0.0536373 0.0157493i
\(321\) 9083.22 1.57936
\(322\) 4843.91 + 2479.95i 0.838324 + 0.429199i
\(323\) 542.076 0.0933805
\(324\) 3175.65 + 932.454i 0.544521 + 0.159886i
\(325\) 87.5452 101.033i 0.0149420 0.0172439i
\(326\) 2757.85 + 1772.37i 0.468538 + 0.301111i
\(327\) −133.379 + 927.673i −0.0225562 + 0.156882i
\(328\) 883.061 567.509i 0.148655 0.0955349i
\(329\) 462.518 + 1012.77i 0.0775059 + 0.169714i
\(330\) 119.252 + 137.624i 0.0198928 + 0.0229575i
\(331\) −859.408 5977.32i −0.142711 0.992577i −0.927769 0.373155i \(-0.878276\pi\)
0.785058 0.619422i \(-0.212633\pi\)
\(332\) −600.257 + 1314.38i −0.0992270 + 0.217277i
\(333\) 8390.91 2463.79i 1.38084 0.405451i
\(334\) 486.386 142.816i 0.0796822 0.0233968i
\(335\) −1290.58 + 2825.97i −0.210483 + 0.460893i
\(336\) −395.801 2752.86i −0.0642641 0.446967i
\(337\) 4443.74 + 5128.35i 0.718296 + 0.828958i 0.991101 0.133112i \(-0.0424969\pi\)
−0.272805 + 0.962069i \(0.587951\pi\)
\(338\) 1801.58 + 3944.90i 0.289920 + 0.634835i
\(339\) −9404.61 + 6043.98i −1.50675 + 0.968329i
\(340\) 56.7987 395.044i 0.00905983 0.0630125i
\(341\) 312.785 + 201.015i 0.0496723 + 0.0319225i
\(342\) −806.033 + 930.212i −0.127442 + 0.147076i
\(343\) 1834.72 + 538.722i 0.288821 + 0.0848055i
\(344\) 2620.08 0.410655
\(345\) −3867.72 + 380.330i −0.603569 + 0.0593515i
\(346\) −2895.84 −0.449946
\(347\) 2645.16 + 776.690i 0.409221 + 0.120158i 0.479863 0.877344i \(-0.340686\pi\)
−0.0706415 + 0.997502i \(0.522505\pi\)
\(348\) 4112.46 4746.03i 0.633480 0.731074i
\(349\) 3743.56 + 2405.84i 0.574178 + 0.369002i 0.795274 0.606250i \(-0.207327\pi\)
−0.221096 + 0.975252i \(0.570963\pi\)
\(350\) 175.527 1220.82i 0.0268066 0.186444i
\(351\) 137.721 88.5081i 0.0209431 0.0134593i
\(352\) −34.3531 75.2228i −0.00520178 0.0113903i
\(353\) −5268.17 6079.79i −0.794324 0.916699i 0.203732 0.979027i \(-0.434693\pi\)
−0.998056 + 0.0623279i \(0.980148\pi\)
\(354\) −814.351 5663.94i −0.122266 0.850381i
\(355\) −1468.79 + 3216.20i −0.219592 + 0.480840i
\(356\) −1764.94 + 518.233i −0.262758 + 0.0771526i
\(357\) 3328.18 977.242i 0.493406 0.144877i
\(358\) −3055.37 + 6690.32i −0.451065 + 0.987694i
\(359\) −1303.62 9066.90i −0.191651 1.33296i −0.827639 0.561261i \(-0.810316\pi\)
0.635988 0.771699i \(-0.280593\pi\)
\(360\) 593.446 + 684.873i 0.0868815 + 0.100267i
\(361\) −2542.79 5567.94i −0.370724 0.811771i
\(362\) −7393.42 + 4751.46i −1.07345 + 0.689865i
\(363\) 1328.09 9237.06i 0.192029 1.33559i
\(364\) −443.868 285.257i −0.0639149 0.0410756i
\(365\) −1948.25 + 2248.40i −0.279387 + 0.322429i
\(366\) −5518.28 1620.31i −0.788102 0.231408i
\(367\) 10023.9 1.42573 0.712864 0.701302i \(-0.247398\pi\)
0.712864 + 0.701302i \(0.247398\pi\)
\(368\) 1733.91 + 329.116i 0.245615 + 0.0466205i
\(369\) −2972.66 −0.419379
\(370\) −3703.71 1087.51i −0.520396 0.152802i
\(371\) 3120.65 3601.42i 0.436700 0.503979i
\(372\) 3411.58 + 2192.49i 0.475490 + 0.305579i
\(373\) −542.227 + 3771.27i −0.0752693 + 0.523509i 0.916950 + 0.399003i \(0.130644\pi\)
−0.992219 + 0.124506i \(0.960265\pi\)
\(374\) 86.7659 55.7610i 0.0119961 0.00770945i
\(375\) 365.911 + 801.233i 0.0503882 + 0.110335i
\(376\) 236.462 + 272.892i 0.0324324 + 0.0374290i
\(377\) −169.552 1179.26i −0.0231628 0.161101i
\(378\) 627.432 1373.88i 0.0853747 0.186944i
\(379\) −1442.07 + 423.429i −0.195446 + 0.0573880i −0.377990 0.925810i \(-0.623385\pi\)
0.182545 + 0.983198i \(0.441567\pi\)
\(380\) 521.283 153.062i 0.0703717 0.0206630i
\(381\) 890.858 1950.71i 0.119790 0.262304i
\(382\) −642.859 4471.19i −0.0861035 0.598863i
\(383\) −2207.13 2547.17i −0.294463 0.339828i 0.589170 0.808009i \(-0.299455\pi\)
−0.883633 + 0.468181i \(0.844910\pi\)
\(384\) −374.693 820.463i −0.0497942 0.109034i
\(385\) 268.136 172.320i 0.0354947 0.0228111i
\(386\) −240.819 + 1674.93i −0.0317548 + 0.220859i
\(387\) −6242.00 4011.49i −0.819894 0.526914i
\(388\) −1276.16 + 1472.77i −0.166977 + 0.192702i
\(389\) 10189.9 + 2992.04i 1.32815 + 0.389980i 0.867427 0.497564i \(-0.165772\pi\)
0.460723 + 0.887544i \(0.347590\pi\)
\(390\) 376.814 0.0489249
\(391\) −98.5358 + 2198.94i −0.0127447 + 0.284413i
\(392\) −2123.85 −0.273650
\(393\) 15145.9 + 4447.24i 1.94405 + 0.570823i
\(394\) −5118.45 + 5907.00i −0.654476 + 0.755306i
\(395\) −3287.39 2112.68i −0.418750 0.269115i
\(396\) −33.3285 + 231.805i −0.00422935 + 0.0294158i
\(397\) −6009.95 + 3862.36i −0.759775 + 0.488278i −0.862266 0.506456i \(-0.830955\pi\)
0.102491 + 0.994734i \(0.467319\pi\)
\(398\) −2097.46 4592.80i −0.264161 0.578433i
\(399\) 3092.13 + 3568.51i 0.387970 + 0.447742i
\(400\) −56.9259 395.929i −0.00711574 0.0494911i
\(401\) 4637.29 10154.3i 0.577494 1.26454i −0.365215 0.930923i \(-0.619005\pi\)
0.942710 0.333613i \(-0.108268\pi\)
\(402\) −8402.08 + 2467.07i −1.04243 + 0.306086i
\(403\) 738.194 216.753i 0.0912459 0.0267922i
\(404\) −857.433 + 1877.52i −0.105591 + 0.231213i
\(405\) 588.777 + 4095.03i 0.0722384 + 0.502429i
\(406\) −7198.00 8306.94i −0.879879 1.01543i
\(407\) −414.392 907.391i −0.0504684 0.110510i
\(408\) 946.364 608.191i 0.114833 0.0737989i
\(409\) −716.878 + 4986.00i −0.0866683 + 0.602791i 0.899485 + 0.436953i \(0.143942\pi\)
−0.986153 + 0.165839i \(0.946967\pi\)
\(410\) 1103.83 + 709.386i 0.132961 + 0.0854490i
\(411\) −8991.98 + 10377.3i −1.07918 + 1.24544i
\(412\) −3011.46 884.244i −0.360107 0.105737i
\(413\) −10015.5 −1.19329
\(414\) −3626.91 3438.78i −0.430563 0.408230i
\(415\) −1806.20 −0.213645
\(416\) −164.186 48.2093i −0.0193506 0.00568186i
\(417\) −4359.19 + 5030.77i −0.511919 + 0.590786i
\(418\) 118.112 + 75.9057i 0.0138206 + 0.00888198i
\(419\) 2102.45 14622.9i 0.245135 1.70495i −0.380458 0.924798i \(-0.624233\pi\)
0.625592 0.780150i \(-0.284857\pi\)
\(420\) 2924.58 1879.52i 0.339774 0.218359i
\(421\) 634.466 + 1389.29i 0.0734488 + 0.160831i 0.942795 0.333373i \(-0.108187\pi\)
−0.869346 + 0.494204i \(0.835460\pi\)
\(422\) 3931.06 + 4536.69i 0.453462 + 0.523323i
\(423\) −145.527 1012.17i −0.0167276 0.116343i
\(424\) 642.013 1405.81i 0.0735352 0.161020i
\(425\) 478.674 140.551i 0.0546332 0.0160418i
\(426\) −9562.31 + 2807.75i −1.08755 + 0.319333i
\(427\) −4181.72 + 9156.68i −0.473929 + 1.03776i
\(428\) −733.781 5103.56i −0.0828707 0.576378i
\(429\) 63.7690 + 73.5933i 0.00717668 + 0.00828233i
\(430\) 1360.53 + 2979.14i 0.152582 + 0.334109i
\(431\) 3809.88 2448.46i 0.425790 0.273639i −0.310147 0.950689i \(-0.600378\pi\)
0.735937 + 0.677050i \(0.236742\pi\)
\(432\) 69.7110 484.850i 0.00776382 0.0539985i
\(433\) 6009.54 + 3862.10i 0.666975 + 0.428639i 0.829834 0.558011i \(-0.188435\pi\)
−0.162859 + 0.986649i \(0.552072\pi\)
\(434\) 4648.24 5364.35i 0.514107 0.593311i
\(435\) 7531.90 + 2211.56i 0.830177 + 0.243762i
\(436\) 532.004 0.0584366
\(437\) −2778.57 + 1121.47i −0.304158 + 0.122763i
\(438\) −8385.70 −0.914805
\(439\) −567.627 166.670i −0.0617115 0.0181201i 0.250731 0.968057i \(-0.419329\pi\)
−0.312443 + 0.949937i \(0.601147\pi\)
\(440\) 67.6928 78.1217i 0.00733439 0.00846433i
\(441\) 5059.80 + 3251.74i 0.546356 + 0.351122i
\(442\) 30.3726 211.246i 0.00326850 0.0227329i
\(443\) −11423.5 + 7341.41i −1.22516 + 0.787361i −0.983130 0.182908i \(-0.941449\pi\)
−0.242028 + 0.970269i \(0.577813\pi\)
\(444\) −4519.81 9897.01i −0.483110 1.05786i
\(445\) −1505.73 1737.71i −0.160401 0.185113i
\(446\) −265.623 1847.45i −0.0282009 0.196141i
\(447\) −2284.47 + 5002.29i −0.241726 + 0.529306i
\(448\) −1514.77 + 444.775i −0.159745 + 0.0469055i
\(449\) 9978.62 2929.99i 1.04882 0.307961i 0.288479 0.957486i \(-0.406850\pi\)
0.760340 + 0.649525i \(0.225032\pi\)
\(450\) −470.570 + 1030.40i −0.0492953 + 0.107942i
\(451\) 48.2567 + 335.633i 0.00503840 + 0.0350429i
\(452\) 4155.65 + 4795.88i 0.432446 + 0.499069i
\(453\) 3233.73 + 7080.89i 0.335395 + 0.734413i
\(454\) 3651.46 2346.65i 0.377470 0.242585i
\(455\) 93.8615 652.821i 0.00967098 0.0672631i
\(456\) 1288.26 + 827.911i 0.132298 + 0.0850230i
\(457\) −10245.4 + 11823.8i −1.04871 + 1.21027i −0.0716181 + 0.997432i \(0.522816\pi\)
−0.977087 + 0.212839i \(0.931729\pi\)
\(458\) 2545.17 + 747.331i 0.259669 + 0.0762456i
\(459\) 610.927 0.0621255
\(460\) 526.146 + 2142.42i 0.0533297 + 0.217154i
\(461\) −6928.11 −0.699944 −0.349972 0.936760i \(-0.613809\pi\)
−0.349972 + 0.936760i \(0.613809\pi\)
\(462\) 862.011 + 253.109i 0.0868060 + 0.0254885i
\(463\) 9076.20 10474.5i 0.911030 1.05138i −0.0874450 0.996169i \(-0.527870\pi\)
0.998475 0.0552148i \(-0.0175843\pi\)
\(464\) −2998.86 1927.25i −0.300040 0.192824i
\(465\) −721.421 + 5017.60i −0.0719465 + 0.500399i
\(466\) 9137.45 5872.28i 0.908335 0.583751i
\(467\) 362.892 + 794.622i 0.0359585 + 0.0787382i 0.926759 0.375657i \(-0.122583\pi\)
−0.890800 + 0.454395i \(0.849856\pi\)
\(468\) 317.340 + 366.230i 0.0313441 + 0.0361730i
\(469\) 2181.25 + 15170.9i 0.214756 + 1.49366i
\(470\) −187.501 + 410.571i −0.0184017 + 0.0402941i
\(471\) 20708.1 6080.45i 2.02586 0.594846i
\(472\) −3116.59 + 915.114i −0.303925 + 0.0892406i
\(473\) −351.593 + 769.882i −0.0341782 + 0.0748398i
\(474\) −1567.54 10902.5i −0.151897 1.05647i
\(475\) 444.724 + 513.239i 0.0429586 + 0.0495769i
\(476\) −817.945 1791.05i −0.0787614 0.172463i
\(477\) −3681.89 + 2366.21i −0.353422 + 0.227130i
\(478\) 704.423 4899.37i 0.0674050 0.468812i
\(479\) −9423.70 6056.24i −0.898914 0.577697i 0.00755392 0.999971i \(-0.497595\pi\)
−0.906468 + 0.422274i \(0.861232\pi\)
\(480\) 738.333 852.082i 0.0702086 0.0810251i
\(481\) −1980.53 581.535i −0.187743 0.0551262i
\(482\) −1461.70 −0.138130
\(483\) −15037.8 + 11894.6i −1.41666 + 1.12055i
\(484\) −5297.29 −0.497491
\(485\) −2337.27 686.283i −0.218824 0.0642526i
\(486\) −6553.86 + 7563.55i −0.611706 + 0.705946i
\(487\) 11966.7 + 7690.52i 1.11347 + 0.715587i 0.962048 0.272882i \(-0.0879767\pi\)
0.151427 + 0.988468i \(0.451613\pi\)
\(488\) −464.610 + 3231.44i −0.0430982 + 0.299755i
\(489\) −9716.83 + 6244.63i −0.898590 + 0.577488i
\(490\) −1102.85 2414.91i −0.101677 0.222642i
\(491\) −13141.6 15166.2i −1.20789 1.39398i −0.896117 0.443819i \(-0.853623\pi\)
−0.311771 0.950157i \(-0.600922\pi\)
\(492\) 526.341 + 3660.78i 0.0482303 + 0.335449i
\(493\) 1846.93 4044.20i 0.168725 0.369456i
\(494\) 278.751 81.8488i 0.0253879 0.00745456i
\(495\) −280.878 + 82.4732i −0.0255041 + 0.00748868i
\(496\) 956.286 2093.97i 0.0865695 0.189561i
\(497\) 2482.46 + 17265.9i 0.224051 + 1.55831i
\(498\) −3333.93 3847.57i −0.299994 0.346212i
\(499\) 1146.08 + 2509.57i 0.102817 + 0.225138i 0.954048 0.299653i \(-0.0968709\pi\)
−0.851231 + 0.524791i \(0.824144\pi\)
\(500\) 420.627 270.320i 0.0376220 0.0241782i
\(501\) −254.181 + 1767.87i −0.0226666 + 0.157650i
\(502\) −2827.40 1817.06i −0.251381 0.161553i
\(503\) 494.131 570.257i 0.0438016 0.0505497i −0.733426 0.679769i \(-0.762080\pi\)
0.777228 + 0.629220i \(0.216625\pi\)
\(504\) 4289.71 + 1259.57i 0.379125 + 0.111321i
\(505\) −2580.05 −0.227348
\(506\) −329.383 + 465.325i −0.0289385 + 0.0408819i
\(507\) −15280.0 −1.33848
\(508\) −1168.01 342.957i −0.102012 0.0299533i
\(509\) −1790.45 + 2066.29i −0.155914 + 0.179935i −0.828333 0.560237i \(-0.810710\pi\)
0.672418 + 0.740171i \(0.265256\pi\)
\(510\) 1182.96 + 760.239i 0.102710 + 0.0660078i
\(511\) −2088.82 + 14528.0i −0.180829 + 1.25770i
\(512\) −430.722 + 276.808i −0.0371785 + 0.0238932i
\(513\) 345.474 + 756.482i 0.0297330 + 0.0651062i
\(514\) −89.4509 103.232i −0.00767609 0.00885867i
\(515\) −558.336 3883.31i −0.0477732 0.332270i
\(516\) −3834.87 + 8397.19i −0.327172 + 0.716406i
\(517\) −111.918 + 32.8620i −0.00952056 + 0.00279549i
\(518\) −18272.2 + 5365.20i −1.54987 + 0.455084i
\(519\) 4238.48 9280.97i 0.358475 0.784951i
\(520\) −30.4406 211.719i −0.00256713 0.0178548i
\(521\) −14830.5 17115.3i −1.24709 1.43922i −0.854451 0.519532i \(-0.826106\pi\)
−0.392642 0.919691i \(-0.628439\pi\)
\(522\) 4193.66 + 9182.84i 0.351632 + 0.769966i
\(523\) 7549.75 4851.93i 0.631219 0.405660i −0.185542 0.982636i \(-0.559404\pi\)
0.816761 + 0.576976i \(0.195768\pi\)
\(524\) 1275.21 8869.25i 0.106312 0.739418i
\(525\) 3655.73 + 2349.39i 0.303903 + 0.195307i
\(526\) 8643.50 9975.13i 0.716492 0.826875i
\(527\) 2754.77 + 808.874i 0.227703 + 0.0668597i
\(528\) 291.365 0.0240152
\(529\) −4044.20 11475.2i −0.332391 0.943142i
\(530\) 1931.84 0.158328
\(531\) 8825.97 + 2591.54i 0.721308 + 0.211795i
\(532\) 1755.23 2025.65i 0.143043 0.165081i
\(533\) 590.261 + 379.338i 0.0479682 + 0.0308273i
\(534\) 922.342 6415.03i 0.0747446 0.519860i
\(535\) 5421.92 3484.46i 0.438150 0.281582i
\(536\) 2064.92 + 4521.55i 0.166401 + 0.364368i
\(537\) −16970.1 19584.5i −1.36371 1.57381i
\(538\) 2279.34 + 15853.1i 0.182656 + 1.27040i
\(539\) 285.004 624.071i 0.0227755 0.0498713i
\(540\) 587.493 172.503i 0.0468179 0.0137470i
\(541\) −21111.2 + 6198.81i −1.67771 + 0.492620i −0.975620 0.219468i \(-0.929568\pi\)
−0.702090 + 0.712088i \(0.747750\pi\)
\(542\) −2118.23 + 4638.28i −0.167871 + 0.367585i
\(543\) −4406.78 30649.9i −0.348275 2.42230i
\(544\) −418.174 482.599i −0.0329578 0.0380354i
\(545\) 276.253 + 604.910i 0.0217126 + 0.0475440i
\(546\) 1563.89 1005.05i 0.122580 0.0787772i
\(547\) 307.514 2138.81i 0.0240372 0.167183i −0.974267 0.225398i \(-0.927632\pi\)
0.998304 + 0.0582152i \(0.0185409\pi\)
\(548\) 6557.07 + 4213.97i 0.511139 + 0.328489i
\(549\) 6054.38 6987.13i 0.470664 0.543176i
\(550\) 123.978 + 36.4033i 0.00961173 + 0.00282226i
\(551\) 6052.17 0.467933
\(552\) −3592.62 + 5075.35i −0.277014 + 0.391343i
\(553\) −19278.7 −1.48248
\(554\) 7650.03 + 2246.25i 0.586676 + 0.172264i
\(555\) 8906.30 10278.4i 0.681174 0.786116i
\(556\) 3178.78 + 2042.88i 0.242464 + 0.155822i
\(557\) 1152.90 8018.62i 0.0877022 0.609982i −0.897811 0.440381i \(-0.854843\pi\)
0.985513 0.169600i \(-0.0542477\pi\)
\(558\) −5484.22 + 3524.49i −0.416067 + 0.267390i
\(559\) 727.529 + 1593.07i 0.0550469 + 0.120536i
\(560\) −1292.30 1491.39i −0.0975171 0.112541i
\(561\) 51.7161 + 359.693i 0.00389207 + 0.0270700i
\(562\) 2486.94 5445.64i 0.186664 0.408737i
\(563\) −10396.6 + 3052.72i −0.778268 + 0.228520i −0.646657 0.762781i \(-0.723833\pi\)
−0.131611 + 0.991301i \(0.542015\pi\)
\(564\) −1220.70 + 358.429i −0.0911358 + 0.0267599i
\(565\) −3295.21 + 7215.50i −0.245364 + 0.537271i
\(566\) 2170.11 + 15093.4i 0.161160 + 1.12089i
\(567\) 13366.0 + 15425.2i 0.989985 + 1.14250i
\(568\) 2350.07 + 5145.92i 0.173603 + 0.380138i
\(569\) 10713.4 6885.08i 0.789330 0.507272i −0.0827877 0.996567i \(-0.526382\pi\)
0.872118 + 0.489295i \(0.162746\pi\)
\(570\) −272.418 + 1894.71i −0.0200181 + 0.139229i
\(571\) −5183.35 3331.14i −0.379889 0.244140i 0.336735 0.941599i \(-0.390677\pi\)
−0.716624 + 0.697460i \(0.754314\pi\)
\(572\) 36.1981 41.7749i 0.00264601 0.00305366i
\(573\) 15270.8 + 4483.90i 1.11334 + 0.326907i
\(574\) 6473.33 0.470717
\(575\) −2162.81 + 1710.74i −0.156861 + 0.124075i
\(576\) 1449.95 0.104886
\(577\) −5004.94 1469.58i −0.361107 0.106030i 0.0961463 0.995367i \(-0.469348\pi\)
−0.457253 + 0.889337i \(0.651167\pi\)
\(578\) −5913.11 + 6824.10i −0.425524 + 0.491081i
\(579\) −5015.57 3223.31i −0.360000 0.231358i
\(580\) 634.146 4410.58i 0.0453991 0.315758i
\(581\) −7496.27 + 4817.56i −0.535280 + 0.344004i
\(582\) −2852.28 6245.62i −0.203146 0.444827i
\(583\) 326.930 + 377.297i 0.0232248 + 0.0268028i
\(584\) 677.433 + 4711.65i 0.0480006 + 0.333852i
\(585\) −251.633 + 551.000i −0.0177842 + 0.0389419i
\(586\) 6478.71 1902.32i 0.456712 0.134103i
\(587\) 25035.8 7351.16i 1.76037 0.516891i 0.768027 0.640417i \(-0.221238\pi\)
0.992341 + 0.123526i \(0.0394203\pi\)
\(588\) 3108.57 6806.81i 0.218019 0.477395i
\(589\) 556.208 + 3868.51i 0.0389103 + 0.270627i
\(590\) −2658.87 3068.50i −0.185532 0.214116i
\(591\) −11440.0 25050.0i −0.796239 1.74352i
\(592\) −5195.67 + 3339.06i −0.360711 + 0.231815i
\(593\) 352.155 2449.29i 0.0243866 0.169613i −0.973988 0.226598i \(-0.927240\pi\)
0.998375 + 0.0569853i \(0.0181488\pi\)
\(594\) 133.113 + 85.5467i 0.00919479 + 0.00590913i
\(595\) 1611.76 1860.07i 0.111052 0.128161i
\(596\) 2995.17 + 879.461i 0.205850 + 0.0604431i
\(597\) 17789.6 1.21956
\(598\) 281.352 + 1145.64i 0.0192397 + 0.0783424i
\(599\) 1433.99 0.0978151 0.0489075 0.998803i \(-0.484426\pi\)
0.0489075 + 0.998803i \(0.484426\pi\)
\(600\) 1352.24 + 397.055i 0.0920086 + 0.0270162i
\(601\) 1716.67 1981.14i 0.116513 0.134463i −0.694497 0.719496i \(-0.744373\pi\)
0.811010 + 0.585033i \(0.198918\pi\)
\(602\) 13592.7 + 8735.49i 0.920260 + 0.591415i
\(603\) 2003.34 13933.5i 0.135294 0.940989i
\(604\) 3717.28 2388.95i 0.250421 0.160936i
\(605\) −2750.72 6023.23i −0.184847 0.404759i
\(606\) −4762.34 5496.03i −0.319236 0.368418i
\(607\) 3638.50 + 25306.3i 0.243299 + 1.69218i 0.635341 + 0.772232i \(0.280859\pi\)
−0.392043 + 0.919947i \(0.628231\pi\)
\(608\) 361.105 790.710i 0.0240868 0.0527427i
\(609\) 37158.5 10910.7i 2.47248 0.725985i
\(610\) −3915.53 + 1149.70i −0.259894 + 0.0763117i
\(611\) −100.265 + 219.549i −0.00663875 + 0.0145368i
\(612\) 257.360 + 1789.98i 0.0169986 + 0.118228i
\(613\) 5301.16 + 6117.86i 0.349285 + 0.403096i 0.903021 0.429596i \(-0.141344\pi\)
−0.553736 + 0.832692i \(0.686798\pi\)
\(614\) 5790.92 + 12680.3i 0.380623 + 0.833448i
\(615\) −3889.14 + 2499.40i −0.255001 + 0.163879i
\(616\) 72.5768 504.783i 0.00474708 0.0330167i
\(617\) −6044.30 3884.44i −0.394383 0.253455i 0.328387 0.944543i \(-0.393495\pi\)
−0.722770 + 0.691089i \(0.757131\pi\)
\(618\) 7241.65 8357.31i 0.471362 0.543981i
\(619\) −7590.48 2228.77i −0.492871 0.144720i 0.0258462 0.999666i \(-0.491772\pi\)
−0.518717 + 0.854946i \(0.673590\pi\)
\(620\) 2877.50 0.186392
\(621\) −3131.49 + 1263.91i −0.202355 + 0.0816733i
\(622\) 13723.7 0.884676
\(623\) −10884.1 3195.87i −0.699942 0.205521i
\(624\) 394.817 455.643i 0.0253291 0.0292313i
\(625\) 525.783 + 337.901i 0.0336501 + 0.0216256i
\(626\) 2268.13 15775.2i 0.144812 1.00719i
\(627\) −416.146 + 267.441i −0.0265060 + 0.0170344i
\(628\) −5089.30 11144.0i −0.323384 0.708112i
\(629\) −5044.31 5821.45i −0.319762 0.369024i
\(630\) 795.328 + 5531.63i 0.0502962 + 0.349818i
\(631\) 6324.11 13847.9i 0.398984 0.873653i −0.598388 0.801206i \(-0.704192\pi\)
0.997372 0.0724469i \(-0.0230808\pi\)
\(632\) −5999.09 + 1761.49i −0.377581 + 0.110868i
\(633\) −20293.5 + 5958.70i −1.27424 + 0.374150i
\(634\) 4500.37 9854.43i 0.281912 0.617302i
\(635\) −216.553 1506.16i −0.0135333 0.0941260i
\(636\) 3565.86 + 4115.22i 0.222320 + 0.256571i
\(637\) −589.740 1291.35i −0.0366818 0.0803220i
\(638\) 968.724 622.561i 0.0601131 0.0386323i
\(639\) 2279.97 15857.6i 0.141149 0.981715i
\(640\) −538.402 346.010i −0.0332535 0.0213707i
\(641\) −11676.5 + 13475.5i −0.719494 + 0.830341i −0.991246 0.132027i \(-0.957852\pi\)
0.271752 + 0.962367i \(0.412397\pi\)
\(642\) 17430.6 + 5118.08i 1.07154 + 0.314633i
\(643\) 21460.6 1.31621 0.658107 0.752925i \(-0.271358\pi\)
0.658107 + 0.752925i \(0.271358\pi\)
\(644\) 7898.03 + 7488.36i 0.483270 + 0.458203i
\(645\) −11539.3 −0.704431
\(646\) 1040.24 + 305.441i 0.0633553 + 0.0186028i
\(647\) −19799.0 + 22849.3i −1.20306 + 1.38841i −0.302800 + 0.953054i \(0.597921\pi\)
−0.900261 + 0.435351i \(0.856624\pi\)
\(648\) 5568.62 + 3578.73i 0.337586 + 0.216953i
\(649\) 149.325 1038.58i 0.00903161 0.0628162i
\(650\) 224.926 144.551i 0.0135728 0.00872273i
\(651\) 10389.0 + 22748.8i 0.625465 + 1.36958i
\(652\) 4293.62 + 4955.10i 0.257900 + 0.297633i
\(653\) 1438.39 + 10004.2i 0.0862000 + 0.599534i 0.986438 + 0.164136i \(0.0524834\pi\)
−0.900238 + 0.435399i \(0.856607\pi\)
\(654\) −778.664 + 1705.04i −0.0465569 + 0.101945i
\(655\) 10746.9 3155.57i 0.641092 0.188241i
\(656\) 2014.35 591.467i 0.119889 0.0352026i
\(657\) 5599.90 12262.1i 0.332531 0.728142i
\(658\) 316.903 + 2204.11i 0.0187753 + 0.130585i
\(659\) −14099.6 16271.8i −0.833448 0.961850i 0.166258 0.986082i \(-0.446831\pi\)
−0.999706 + 0.0242318i \(0.992286\pi\)
\(660\) 151.297 + 331.293i 0.00892305 + 0.0195388i
\(661\) −16142.7 + 10374.3i −0.949890 + 0.610457i −0.921183 0.389131i \(-0.872776\pi\)
−0.0287075 + 0.999588i \(0.509139\pi\)
\(662\) 1718.82 11954.6i 0.100912 0.701858i
\(663\) 632.575 + 406.531i 0.0370546 + 0.0238135i
\(664\) −1892.49 + 2184.05i −0.110607 + 0.127647i
\(665\) 3214.68 + 943.914i 0.187458 + 0.0550427i
\(666\) 17490.3 1.01762
\(667\) −1100.13 + 24550.8i −0.0638641 + 1.42520i
\(668\) 1013.84 0.0587225
\(669\) 6309.72 + 1852.70i 0.364645 + 0.107070i
\(670\) −4068.93 + 4695.80i −0.234622 + 0.270768i
\(671\) −887.175 570.153i −0.0510418 0.0328025i
\(672\) 791.603 5505.72i 0.0454416 0.316053i
\(673\) 22879.2 14703.6i 1.31044 0.842171i 0.316135 0.948714i \(-0.397615\pi\)
0.994308 + 0.106543i \(0.0339782\pi\)
\(674\) 5637.82 + 12345.1i 0.322197 + 0.705513i
\(675\) 501.210 + 578.427i 0.0285801 + 0.0329832i
\(676\) 1234.38 + 8585.34i 0.0702313 + 0.488469i
\(677\) −6972.32 + 15267.3i −0.395817 + 0.866719i 0.601860 + 0.798601i \(0.294426\pi\)
−0.997677 + 0.0681171i \(0.978301\pi\)
\(678\) −21452.9 + 6299.13i −1.21518 + 0.356809i
\(679\) −11530.9 + 3385.77i −0.651714 + 0.191361i
\(680\) 331.589 726.079i 0.0186998 0.0409468i
\(681\) 2176.42 + 15137.3i 0.122468 + 0.851782i
\(682\) 486.966 + 561.988i 0.0273415 + 0.0315537i
\(683\) 154.321 + 337.916i 0.00864559 + 0.0189312i 0.913906 0.405927i \(-0.133051\pi\)
−0.905260 + 0.424858i \(0.860324\pi\)
\(684\) −2070.91 + 1330.89i −0.115765 + 0.0743975i
\(685\) −1386.57 + 9643.84i −0.0773406 + 0.537915i
\(686\) 3217.25 + 2067.60i 0.179060 + 0.115075i
\(687\) −6120.38 + 7063.29i −0.339894 + 0.392258i
\(688\) 5027.90 + 1476.32i 0.278615 + 0.0818086i
\(689\) 1033.04 0.0571198
\(690\) −7636.41 1449.48i −0.421323 0.0799721i
\(691\) 9642.97 0.530877 0.265438 0.964128i \(-0.414483\pi\)
0.265438 + 0.964128i \(0.414483\pi\)
\(692\) −5557.07 1631.70i −0.305272 0.0896360i
\(693\) −945.755 + 1091.46i −0.0518417 + 0.0598285i
\(694\) 4638.39 + 2980.91i 0.253705 + 0.163046i
\(695\) −672.192 + 4675.20i −0.0366873 + 0.255166i
\(696\) 10566.0 6790.34i 0.575434 0.369809i
\(697\) 1087.71 + 2381.76i 0.0591105 + 0.129434i
\(698\) 5828.23 + 6726.14i 0.316049 + 0.364740i
\(699\) 5446.30 + 37879.8i 0.294704 + 2.04971i
\(700\) 1024.72 2243.83i 0.0553298 0.121155i
\(701\) 18803.8 5521.30i 1.01314 0.297484i 0.267301 0.963613i \(-0.413868\pi\)
0.745837 + 0.666129i \(0.232050\pi\)
\(702\) 314.157 92.2447i 0.0168904 0.00495948i
\(703\) 4355.91 9538.11i 0.233693 0.511717i
\(704\) −23.5377 163.708i −0.00126010 0.00876419i
\(705\) −1041.42 1201.86i −0.0556341 0.0642052i
\(706\) −6683.79 14635.5i −0.356300 0.780188i
\(707\) −10708.0 + 6881.62i −0.569613 + 0.366068i
\(708\) 1628.70 11327.9i 0.0864554 0.601310i
\(709\) −21199.9 13624.4i −1.12296 0.721684i −0.158883 0.987297i \(-0.550789\pi\)
−0.964080 + 0.265613i \(0.914426\pi\)
\(710\) −4630.81 + 5344.24i −0.244776 + 0.282487i
\(711\) 16989.0 + 4988.42i 0.896114 + 0.263123i
\(712\) −3678.90 −0.193642
\(713\) −15793.8 + 1553.07i −0.829570 + 0.0815752i
\(714\) 6937.38 0.363620
\(715\) 66.2963 + 19.4663i 0.00346761 + 0.00101818i
\(716\) −9632.97 + 11117.0i −0.502795 + 0.580256i
\(717\) 14671.1 + 9428.57i 0.764161 + 0.491097i
\(718\) 2607.25 18133.8i 0.135518 0.942545i
\(719\) 1647.74 1058.94i 0.0854665 0.0549260i −0.497210 0.867630i \(-0.665642\pi\)
0.582676 + 0.812704i \(0.302006\pi\)
\(720\) 752.912 + 1648.65i 0.0389714 + 0.0853354i
\(721\) −12675.0 14627.7i −0.654704 0.755569i
\(722\) −1742.24 12117.6i −0.0898055 0.624611i
\(723\) 2139.41 4684.64i 0.110049 0.240973i
\(724\) −16865.1 + 4952.05i −0.865730 + 0.254201i
\(725\) 5344.30 1569.23i 0.273769 0.0803858i
\(726\) 7753.34 16977.5i 0.396355 0.867896i
\(727\) 57.8244 + 402.178i 0.00294992 + 0.0205171i 0.991243 0.132049i \(-0.0421555\pi\)
−0.988293 + 0.152566i \(0.951246\pi\)
\(728\) −691.045 797.508i −0.0351811 0.0406011i
\(729\) −5367.57 11753.3i −0.272701 0.597131i
\(730\) −5005.56 + 3216.88i −0.253787 + 0.163099i
\(731\) −930.108 + 6469.04i −0.0470606 + 0.327313i
\(732\) −9676.51 6218.72i −0.488599 0.314003i
\(733\) 17158.2 19801.7i 0.864603 0.997805i −0.135373 0.990795i \(-0.543223\pi\)
0.999975 0.00701017i \(-0.00223143\pi\)
\(734\) 19235.7 + 5648.10i 0.967305 + 0.284026i
\(735\) 9353.80 0.469415
\(736\) 3141.90 + 1608.57i 0.157353 + 0.0805605i
\(737\) −1605.70 −0.0802535
\(738\) −5704.50 1674.99i −0.284533 0.0835465i
\(739\) −25170.7 + 29048.6i −1.25294 + 1.44597i −0.406350 + 0.913717i \(0.633199\pi\)
−0.846587 + 0.532250i \(0.821347\pi\)
\(740\) −6494.59 4173.82i −0.322630 0.207342i
\(741\) −145.673 + 1013.18i −0.00722190 + 0.0502294i
\(742\) 8017.75 5152.69i 0.396686 0.254934i
\(743\) 15603.1 + 34166.0i 0.770421 + 1.68699i 0.725725 + 0.687985i \(0.241505\pi\)
0.0446962 + 0.999001i \(0.485768\pi\)
\(744\) 5311.38 + 6129.66i 0.261727 + 0.302049i
\(745\) 555.315 + 3862.30i 0.0273090 + 0.189938i
\(746\) −3165.51 + 6931.49i −0.155358 + 0.340187i
\(747\) 7852.51 2305.71i 0.384616 0.112934i
\(748\) 197.922 58.1151i 0.00967479 0.00284077i
\(749\) 13208.8 28923.2i 0.644376 1.41099i
\(750\) 250.711 + 1743.73i 0.0122062 + 0.0848962i
\(751\) −14403.4 16622.5i −0.699853 0.807673i 0.288880 0.957365i \(-0.406717\pi\)
−0.988733 + 0.149692i \(0.952172\pi\)
\(752\) 300.002 + 656.914i 0.0145478 + 0.0318553i
\(753\) 9961.87 6402.11i 0.482113 0.309835i
\(754\) 339.104 2358.52i 0.0163786 0.113915i
\(755\) 4646.60 + 2986.19i 0.223983 + 0.143945i
\(756\) 1978.17 2282.93i 0.0951658 0.109827i
\(757\) −36002.1 10571.2i −1.72856 0.507550i −0.741921 0.670487i \(-0.766085\pi\)
−0.986637 + 0.162936i \(0.947903\pi\)
\(758\) −3005.89 −0.144035
\(759\) −1009.24 1736.72i −0.0482648 0.0830554i
\(760\) 1086.58 0.0518611
\(761\) −10568.3 3103.13i −0.503416 0.147816i 0.0201573 0.999797i \(-0.493583\pi\)
−0.523574 + 0.851980i \(0.675401\pi\)
\(762\) 2808.70 3241.41i 0.133528 0.154100i
\(763\) 2759.98 + 1773.73i 0.130954 + 0.0841590i
\(764\) 1285.72 8942.37i 0.0608844 0.423460i
\(765\) −1901.64 + 1222.11i −0.0898742 + 0.0577586i
\(766\) −2800.22 6131.62i −0.132084 0.289223i
\(767\) −1421.81 1640.85i −0.0669342 0.0772461i
\(768\) −256.728 1785.58i −0.0120623 0.0838954i
\(769\) 7622.25 16690.4i 0.357432 0.782667i −0.642435 0.766341i \(-0.722076\pi\)
0.999867 0.0163267i \(-0.00519719\pi\)
\(770\) 611.645 179.595i 0.0286262 0.00840540i
\(771\) 461.775 135.589i 0.0215699