Properties

Label 230.4.g.b.101.1
Level $230$
Weight $4$
Character 230.101
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 101.1
Character \(\chi\) \(=\) 230.101
Dual form 230.4.g.b.41.1

$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{11}\right)\)

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 −0.999516 0.0311237i \(-0.990091\pi\)
0.111439 0.993771i \(-0.464454\pi\)
\(4\) 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 −0.401927 0.915672i \(-0.631659\pi\)
0.955225 0.295881i \(-0.0956133\pi\)
\(8\) 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 0.247573 0.968869i \(-0.420367\pi\)
−0.315538 + 0.948913i \(0.602185\pi\)
\(12\) −27.0449 7.94109i −0.650599 0.191033i
\(13\) −2.22139 4.86418i −0.0473926 0.103775i 0.884455 0.466626i \(-0.154531\pi\)
−0.931847 + 0.362851i \(0.881803\pi\)
\(14\) 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 0.415384 0.909646i \(-0.363647\pi\)
−0.654887 + 0.755727i \(0.727284\pi\)
\(18\) 6.44841 + 44.8496i 0.0844391 + 0.587287i
\(19\) −22.8522 + 14.6862i −0.275930 + 0.177329i −0.671286 0.741199i \(-0.734258\pi\)
0.395356 + 0.918528i \(0.370621\pi\)
\(20\) −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 −0.221176 0.975234i \(-0.570990\pi\)
−0.978984 + 0.203938i \(0.934626\pi\)
\(30\) −29.2729 + 64.0987i −0.178149 + 0.390092i
\(31\) −94.2181 + 108.734i −0.545873 + 0.629971i −0.959917 0.280286i \(-0.909571\pi\)
0.414043 + 0.910257i \(0.364116\pi\)
\(32\) 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 −0.387112 0.922033i \(-0.626527\pi\)
0.631198 0.775622i \(-0.282564\pi\)
\(38\) −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 0.993980 + 0.109558i \(0.0349435\pi\)
−0.922851 + 0.385157i \(0.874147\pi\)
\(42\) −292.458 + 187.952i −1.07446 + 0.690513i
\(43\) 214.474 + 247.516i 0.760626 + 0.877809i 0.995553 0.0942039i \(-0.0300306\pi\)
−0.234927 + 0.972013i \(0.575485\pi\)
\(44\) −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 −0.984662 0.174471i \(-0.944178\pi\)
0.776673 + 0.629904i \(0.216906\pi\)
\(54\) −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 −0.999349 0.0360767i \(-0.988514\pi\)
0.627169 0.778883i \(-0.284213\pi\)
\(60\) −20.0569 + 139.499i −0.0431555 + 0.300153i
\(61\) 267.238 308.409i 0.560923 0.647339i −0.402470 0.915433i \(-0.631848\pi\)
0.963393 + 0.268094i \(0.0863938\pi\)
\(62\) −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 0.311372 0.950288i \(-0.399211\pi\)
0.775707 + 0.631093i \(0.217393\pi\)
\(68\) −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 0.339799 0.940498i \(-0.389641\pi\)
0.794329 + 0.607488i \(0.207823\pi\)
\(72\) 118.689 + 136.975i 0.194273 + 0.224203i
\(73\) 500.556 321.688i 0.802544 0.515764i −0.0739012 0.997266i \(-0.523545\pi\)
0.876445 + 0.481502i \(0.159909\pi\)
\(74\) −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 −0.986940 0.161091i \(-0.948499\pi\)
0.524563 0.851371i \(-0.324229\pi\)
\(80\) −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 −0.927176 0.374626i \(-0.877771\pi\)
0.995163 0.0982357i \(-0.0313199\pi\)
\(84\) −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 0.547525 0.836789i \(-0.315570\pi\)
−0.906193 + 0.422865i \(0.861025\pi\)
\(90\) 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 −0.993391 0.114775i \(-0.963385\pi\)
0.920816 0.389997i \(-0.127524\pi\)
\(98\) −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 −0.921138 0.389236i \(-0.872739\pi\)
0.993486 0.113955i \(-0.0363519\pi\)
\(102\) 116.830 + 255.822i 0.113411 + 0.248334i
\(103\) −752.865 221.061i −0.720214 0.211474i −0.0989690 0.995091i \(-0.531554\pi\)
−0.621245 + 0.783617i \(0.713373\pi\)
\(104\) −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 −0.995731 0.0923055i \(-0.970576\pi\)
0.233073 + 0.972459i \(0.425122\pi\)
\(108\) −50.8713 + 111.393i −0.0453250 + 0.0992478i
\(109\) 111.888 + 71.9057i 0.0983200 + 0.0631864i 0.588877 0.808223i \(-0.299570\pi\)
−0.490557 + 0.871409i \(0.663207\pi\)
\(110\) 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 0.422048 0.906574i \(-0.361311\pi\)
0.845180 + 0.534482i \(0.179493\pi\)
\(114\) 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 0.178124 0.984008i \(-0.442997\pi\)
−0.382147 + 0.924101i \(0.624815\pi\)
\(128\) −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 0.294399 + 0.955683i \(0.404881\pi\)
−0.915047 + 0.403347i \(0.867847\pi\)
\(132\) 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 0.481023 0.876708i \(-0.340265\pi\)
−0.0693220 + 0.997594i \(0.522084\pi\)
\(150\) 338.061 + 99.2637i 0.184017 + 0.0540323i
\(151\) 458.903 + 1004.86i 0.247318 + 0.541551i 0.992055 0.125808i \(-0.0401522\pi\)
−0.744737 + 0.667358i \(0.767425\pi\)
\(152\) −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 −0.994239 0.107184i \(-0.965817\pi\)
−0.315524 + 0.948918i \(0.602180\pi\)
\(158\) −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 0.118908 0.992905i \(-0.462061\pi\)
0.636837 + 0.770999i \(0.280243\pi\)
\(164\) 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 0.589108 0.808054i \(-0.299479\pi\)
−0.490307 + 0.871550i \(0.663115\pi\)
\(168\) −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 −0.0381791 0.999271i \(-0.512156\pi\)
−0.572365 + 0.819999i \(0.693974\pi\)
\(174\) 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 −0.743450 0.668792i \(-0.766812\pi\)
0.524914 0.851155i \(-0.324097\pi\)
\(180\) 381.179 244.969i 0.157841 0.101438i
\(181\) −2877.65 3320.98i −1.18173 1.36379i −0.916711 0.399550i \(-0.869166\pi\)
−0.265022 0.964242i \(-0.585379\pi\)
\(182\) −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 0.644465 + 0.764634i \(0.277080\pi\)
−0.999907 + 0.0136743i \(0.995647\pi\)
\(192\) −295.333 + 340.833i −0.111010 + 0.128112i
\(193\) 120.409 837.465i 0.0449080 0.312342i −0.954970 0.296703i \(-0.904113\pi\)
0.999878 0.0156388i \(-0.00497819\pi\)
\(194\) −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 −0.937155 0.348914i \(-0.886550\pi\)
0.350014 0.936744i \(-0.386177\pi\)
\(198\) 16.6643 115.903i 0.00598120 0.0416002i
\(199\) −1653.22 + 1907.92i −0.588913 + 0.679642i −0.969497 0.245105i \(-0.921178\pi\)
0.380584 + 0.924746i \(0.375723\pi\)
\(200\) −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 −0.0594864 0.998229i \(-0.518946\pi\)
0.883310 + 0.468790i \(0.155310\pi\)
\(212\) 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 −0.958866 0.283860i \(-0.908385\pi\)
0.842451 + 0.538774i \(0.181112\pi\)
\(224\) −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 0.924475 0.381243i \(-0.124504\pi\)
−0.508929 + 0.860809i \(0.669958\pi\)
\(228\) 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 0.988057 + 0.154087i \(0.0492437\pi\)
0.0119036 + 0.999929i \(0.496211\pi\)
\(234\) 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 0.884997 + 0.465596i \(0.154160\pi\)
−0.980322 + 0.197404i \(0.936749\pi\)
\(240\) 234.183 + 512.789i 0.0629852 + 0.137918i
\(241\) −701.244 205.904i −0.187432 0.0550350i 0.186669 0.982423i \(-0.440231\pi\)
−0.374101 + 0.927388i \(0.622049\pi\)
\(242\) −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 −0.478108 0.878301i \(-0.658677\pi\)
0.0726351 + 0.997359i \(0.476859\pi\)
\(252\) 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 −0.547595 0.836744i \(-0.684457\pi\)
0.533650 + 0.845706i \(0.320820\pi\)
\(258\) −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 0.897737 + 0.440531i \(0.145210\pi\)
−0.254962 + 0.966951i \(0.582063\pi\)
\(264\) 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 −0.00498831 0.999988i \(-0.501588\pi\)
0.759007 0.651083i \(-0.225685\pi\)
\(270\) 257.548 + 165.516i 0.0580513 + 0.0373073i
\(271\) −362.837 2523.59i −0.0813313 0.565671i −0.989217 0.146455i \(-0.953214\pi\)
0.907886 0.419217i \(-0.137695\pi\)
\(272\) −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 0.983747 + 0.179560i \(0.0574673\pi\)
−0.893311 + 0.449440i \(0.851624\pi\)
\(282\) −535.134 343.910i −0.113003 0.0726225i
\(283\) 3167.26 6935.33i 0.665279 1.45676i −0.212241 0.977217i \(-0.568076\pi\)
0.877520 0.479540i \(-0.159197\pi\)
\(284\) 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 0.792245 0.610204i \(-0.208912\pi\)
−0.225950 + 0.974139i \(0.572549\pi\)
\(294\) 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 −0.151409 0.988471i \(-0.548381\pi\)
0.999958 + 0.00919406i \(0.00292660\pi\)
\(308\) −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 0.820022 0.572332i \(-0.193961\pi\)
0.380420 + 0.924814i \(0.375779\pi\)
\(312\) 125.227 + 274.210i 0.0227231 + 0.0497566i
\(313\) −1134.06 + 7887.59i −0.204796 + 1.42439i 0.585009 + 0.811027i \(0.301091\pi\)
−0.789804 + 0.613359i \(0.789818\pi\)
\(314\) −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 0.936705 + 0.350119i \(0.113859\pi\)
−0.800122 + 0.599837i \(0.795232\pi\)
\(318\) 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 0.785058 + 0.619422i \(0.212633\pi\)
−0.927769 + 0.373155i \(0.878276\pi\)
\(332\) −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 −0.272805 0.962069i \(-0.587951\pi\)
0.991101 + 0.133112i \(0.0424969\pi\)
\(338\) 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 −0.0706415 0.997502i \(-0.522505\pi\)
0.479863 + 0.877344i \(0.340686\pi\)
\(348\) 4112.46 + 4746.03i 0.633480 + 0.731074i
\(349\) 3743.56 2405.84i 0.574178 0.369002i −0.221096 0.975252i \(-0.570963\pi\)
0.795274 + 0.606250i \(0.207327\pi\)
\(350\) 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 −0.998056 0.0623279i \(-0.980148\pi\)
0.203732 + 0.979027i \(0.434693\pi\)
\(354\) −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 0.635988 + 0.771699i \(0.280593\pi\)
−0.827639 + 0.561261i \(0.810316\pi\)
\(360\) 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 −0.992219 0.124506i \(-0.960265\pi\)
0.916950 0.399003i \(-0.130644\pi\)
\(374\) 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 0.182545 0.983198i \(-0.441567\pi\)
−0.377990 + 0.925810i \(0.623385\pi\)
\(380\) 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 −0.883633 0.468181i \(-0.844910\pi\)
0.589170 + 0.808009i \(0.299455\pi\)
\(384\) −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 0.460723 0.887544i \(-0.347590\pi\)
0.867427 + 0.497564i \(0.165772\pi\)
\(390\) 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 0.102491 0.994734i \(-0.467319\pi\)
−0.862266 + 0.506456i \(0.830955\pi\)
\(398\) −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 0.942710 + 0.333613i \(0.108268\pi\)
−0.365215 + 0.930923i \(0.619005\pi\)
\(402\) −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 −0.986153 0.165839i \(-0.946967\pi\)
0.899485 0.436953i \(-0.143942\pi\)
\(410\) 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 0.625592 + 0.780150i \(0.284857\pi\)
−0.380458 + 0.924798i \(0.624233\pi\)
\(420\) 2924.58 + 1879.52i 0.339774 + 0.218359i
\(421\) 634.466 1389.29i 0.0734488 0.160831i −0.869346 0.494204i \(-0.835460\pi\)
0.942795 + 0.333373i \(0.108187\pi\)
\(422\) 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 0.735937 0.677050i \(-0.236742\pi\)
−0.310147 + 0.950689i \(0.600378\pi\)
\(432\) 69.7110 + 484.850i 0.00776382 + 0.0539985i
\(433\) 6009.54 3862.10i 0.666975 0.428639i −0.162859 0.986649i \(-0.552072\pi\)
0.829834 + 0.558011i \(0.188435\pi\)
\(434\) 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 −0.312443 0.949937i \(-0.601147\pi\)
0.250731 + 0.968057i \(0.419329\pi\)
\(440\) 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 −0.242028 0.970269i \(-0.577813\pi\)
−0.983130 + 0.182908i \(0.941449\pi\)
\(444\) −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 0.760340 0.649525i \(-0.225032\pi\)
0.288479 + 0.957486i \(0.406850\pi\)
\(450\) −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 −0.977087 0.212839i \(-0.931729\pi\)
−0.0716181 0.997432i \(-0.522816\pi\)
\(458\) 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 0.998475 + 0.0552148i \(0.0175843\pi\)
−0.0874450 + 0.996169i \(0.527870\pi\)
\(464\) −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 −0.890800 0.454395i \(-0.849856\pi\)
0.926759 + 0.375657i \(0.122583\pi\)
\(468\) 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 −0.906468 0.422274i \(-0.861232\pi\)
0.00755392 + 0.999971i \(0.497595\pi\)
\(480\) 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 0.151427 0.988468i \(-0.451613\pi\)
0.962048 + 0.272882i \(0.0879767\pi\)
\(488\) −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 −0.311771 + 0.950157i \(0.600922\pi\)
−0.896117 + 0.443819i \(0.853623\pi\)
\(492\) 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 −0.851231 0.524791i \(-0.824144\pi\)
0.954048 + 0.299653i \(0.0968709\pi\)
\(500\) 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 0.777228 0.629220i \(-0.216625\pi\)
−0.733426 + 0.679769i \(0.762080\pi\)
\(504\) 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 0.672418 0.740171i \(-0.265256\pi\)
−0.828333 + 0.560237i \(0.810710\pi\)
\(510\) 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 −0.392642 + 0.919691i \(0.628439\pi\)
−0.854451 + 0.519532i \(0.826106\pi\)
\(522\) 4193.66 9182.84i 0.351632 0.769966i
\(523\) 7549.75 + 4851.93i 0.631219 + 0.405660i 0.816761 0.576976i \(-0.195768\pi\)
−0.185542 + 0.982636i \(0.559404\pi\)
\(524\) 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 −0.702090 0.712088i \(-0.747750\pi\)
−0.975620 + 0.219468i \(0.929568\pi\)
\(542\) −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 0.998304 0.0582152i \(-0.0185409\pi\)
−0.974267 + 0.225398i \(0.927632\pi\)
\(548\) 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 0.985513 + 0.169600i \(0.0542477\pi\)
−0.897811 + 0.440381i \(0.854843\pi\)
\(558\) −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 −0.131611 0.991301i \(-0.542015\pi\)
−0.646657 + 0.762781i \(0.723833\pi\)
\(564\) −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 0.872118 0.489295i \(-0.162746\pi\)
−0.0827877 + 0.996567i \(0.526382\pi\)
\(570\) −272.418 1894.71i −0.0200181 0.139229i
\(571\) −5183.35 + 3331.14i −0.379889 + 0.244140i −0.716624 0.697460i \(-0.754314\pi\)
0.336735 + 0.941599i \(0.390677\pi\)
\(572\) 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 −0.457253 0.889337i \(-0.651167\pi\)
0.0961463 + 0.995367i \(0.469348\pi\)
\(578\) −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 0.992341 0.123526i \(-0.0394203\pi\)
0.768027 + 0.640417i \(0.221238\pi\)
\(588\) 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 0.998375 0.0569853i \(-0.0181488\pi\)
−0.973988 + 0.226598i \(0.927240\pi\)
\(594\) 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 0.811010 0.585033i \(-0.198918\pi\)
−0.694497 + 0.719496i \(0.744373\pi\)
\(602\) 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 −0.392043 0.919947i \(-0.628231\pi\)
0.635341 0.772232i \(-0.280859\pi\)
\(608\) 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 −0.553736 0.832692i \(-0.686798\pi\)
0.903021 + 0.429596i \(0.141344\pi\)
\(614\) 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 −0.722770 0.691089i \(-0.757131\pi\)
0.328387 + 0.944543i \(0.393495\pi\)
\(618\) 7241.65 + 8357.31i 0.471362 + 0.543981i
\(619\) −7590.48 + 2228.77i −0.492871 + 0.144720i −0.518717 0.854946i \(-0.673590\pi\)
0.0258462 + 0.999666i \(0.491772\pi\)
\(620\) 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 0.997372 + 0.0724469i \(0.0230808\pi\)
−0.598388 + 0.801206i \(0.704192\pi\)
\(632\) −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 0.271752 0.962367i \(-0.412397\pi\)
−0.991246 + 0.132027i \(0.957852\pi\)
\(642\) 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 −0.900261 0.435351i \(-0.856624\pi\)
−0.302800 0.953054i \(-0.597921\pi\)
\(648\) 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 −0.900238 0.435399i \(-0.856607\pi\)
0.986438 0.164136i \(-0.0524834\pi\)
\(654\) −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 −0.999706 0.0242318i \(-0.992286\pi\)
0.166258 + 0.986082i \(0.446831\pi\)
\(660\) 151.297 331.293i 0.00892305 0.0195388i
\(661\) −16142.7 10374.3i −0.949890 0.610457i −0.0287075 0.999588i \(-0.509139\pi\)
−0.921183 + 0.389131i \(0.872776\pi\)
\(662\) 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 0.994308 0.106543i \(-0.0339782\pi\)
0.316135 + 0.948714i \(0.397615\pi\)
\(674\) 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 −0.997677 0.0681171i \(-0.978301\pi\)
0.601860 0.798601i \(-0.294426\pi\)
\(678\) −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 −0.905260 0.424858i \(-0.860324\pi\)
0.913906 + 0.405927i \(0.133051\pi\)
\(684\) −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 0.745837 0.666129i \(-0.232050\pi\)
0.267301 + 0.963613i \(0.413868\pi\)
\(702\) 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 −0.964080 0.265613i \(-0.914426\pi\)
−0.158883 + 0.987297i \(0.550789\pi\)
\(710\) −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 0.582676 0.812704i \(-0.302006\pi\)
−0.497210 + 0.867630i \(0.665642\pi\)
\(720\) 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 −0.988293 0.152566i \(-0.951246\pi\)
0.991243 + 0.132049i \(0.0421555\pi\)
\(728\) −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 0.999975 + 0.00701017i \(0.00223143\pi\)
−0.135373 + 0.990795i \(0.543223\pi\)
\(734\) 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 −0.846587 0.532250i \(-0.821347\pi\)
−0.406350 0.913717i \(-0.633199\pi\)
\(740\) −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 0.0446962 0.999001i \(-0.485768\pi\)
0.725725 0.687985i \(-0.241505\pi\)
\(744\) 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 −0.988733 0.149692i \(-0.952172\pi\)
0.288880 + 0.957365i \(0.406717\pi\)
\(752\) 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 −0.986637 0.162936i \(-0.947903\pi\)
−0.741921 + 0.670487i \(0.766085\pi\)
\(758\) −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 −0.523574 0.851980i \(-0.675401\pi\)
0.0201573 + 0.999797i \(0.493583\pi\)
\(762\) 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 0.999867 + 0.0163267i \(0.00519719\pi\)
−0.642435 + 0.766341i \(0.722076\pi\)
\(770\) 611.645 + 179.595i 0.0286262 + 0.00840540i
\(771\) 461.775 + 135.589i