Properties

Label 147.4.o.a.101.2
Level $147$
Weight $4$
Character 147.101
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.2
Character \(\chi\) \(=\) 147.101
Dual form 147.4.o.a.131.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.97448 - 1.95234i) q^{2} +(3.58231 + 3.76391i) q^{3} +(15.0694 + 13.9824i) q^{4} +(2.11564 + 1.44242i) q^{5} +(-10.4717 - 25.7174i) q^{6} +(-9.97572 - 15.6040i) q^{7} +(-29.1151 - 60.4581i) q^{8} +(-1.33405 + 26.9670i) q^{9} +O(q^{10})\) \(q+(-4.97448 - 1.95234i) q^{2} +(3.58231 + 3.76391i) q^{3} +(15.0694 + 13.9824i) q^{4} +(2.11564 + 1.44242i) q^{5} +(-10.4717 - 25.7174i) q^{6} +(-9.97572 - 15.6040i) q^{7} +(-29.1151 - 60.4581i) q^{8} +(-1.33405 + 26.9670i) q^{9} +(-7.70811 - 11.3057i) q^{10} +(-8.12131 - 53.8814i) q^{11} +(1.35497 + 106.809i) q^{12} +(15.0967 - 12.0392i) q^{13} +(19.1597 + 97.0978i) q^{14} +(2.14975 + 13.1303i) q^{15} +(14.5078 + 193.593i) q^{16} +(110.570 + 34.1063i) q^{17} +(59.2850 - 131.542i) q^{18} +(-11.5307 + 6.65727i) q^{19} +(11.7130 + 51.3180i) q^{20} +(22.9959 - 93.4462i) q^{21} +(-64.7954 + 283.887i) q^{22} +(-20.5613 - 66.6580i) q^{23} +(123.260 - 326.167i) q^{24} +(-43.2723 - 110.256i) q^{25} +(-98.6026 + 30.4149i) q^{26} +(-106.280 + 91.5831i) q^{27} +(67.8527 - 374.627i) q^{28} +(215.079 - 49.0903i) q^{29} +(14.9409 - 69.5133i) q^{30} +(96.7364 + 55.8508i) q^{31} +(147.558 - 478.373i) q^{32} +(173.712 - 223.588i) q^{33} +(-483.441 - 385.532i) q^{34} +(1.40249 - 47.4016i) q^{35} +(-397.166 + 387.723i) q^{36} +(192.863 - 178.951i) q^{37} +(70.3566 - 10.6046i) q^{38} +(99.3955 + 13.6943i) q^{39} +(25.6089 - 169.904i) q^{40} +(-54.3502 + 26.1737i) q^{41} +(-296.831 + 419.950i) q^{42} +(136.054 + 65.5200i) q^{43} +(631.005 - 925.515i) q^{44} +(-41.7201 + 55.1282i) q^{45} +(-27.8574 + 371.731i) q^{46} +(-14.6391 + 37.2998i) q^{47} +(-676.697 + 748.119i) q^{48} +(-143.970 + 311.322i) q^{49} +632.948i q^{50} +(267.723 + 538.356i) q^{51} +(395.834 + 29.6637i) q^{52} +(426.072 - 459.196i) q^{53} +(707.491 - 248.083i) q^{54} +(60.5378 - 125.708i) q^{55} +(-652.945 + 1057.43i) q^{56} +(-66.3641 - 19.5522i) q^{57} +(-1165.74 - 175.708i) q^{58} +(-297.868 + 203.083i) q^{59} +(-151.197 + 227.924i) q^{60} +(50.1623 + 54.0622i) q^{61} +(-372.173 - 466.691i) q^{62} +(434.102 - 248.199i) q^{63} +(-699.636 + 877.316i) q^{64} +(49.3047 - 3.69487i) q^{65} +(-1300.64 + 773.089i) q^{66} +(301.517 - 522.243i) q^{67} +(1189.34 + 2059.99i) q^{68} +(177.238 - 316.181i) q^{69} +(-99.5207 + 233.060i) q^{70} +(-510.193 - 116.448i) q^{71} +(1669.22 - 704.493i) q^{72} +(907.399 - 356.128i) q^{73} +(-1308.77 + 513.652i) q^{74} +(259.979 - 557.844i) q^{75} +(-266.845 - 60.9057i) q^{76} +(-759.750 + 664.230i) q^{77} +(-467.705 - 262.176i) q^{78} +(-359.127 - 622.026i) q^{79} +(-248.549 + 430.500i) q^{80} +(-725.441 - 71.9507i) q^{81} +(321.464 - 24.0904i) q^{82} +(407.372 - 510.829i) q^{83} +(1653.13 - 1086.64i) q^{84} +(184.731 + 231.645i) q^{85} +(-548.879 - 591.551i) q^{86} +(955.251 + 633.680i) q^{87} +(-3021.11 + 2059.76i) q^{88} +(-351.808 - 53.0265i) q^{89} +(315.165 - 192.782i) q^{90} +(-338.460 - 115.469i) q^{91} +(622.190 - 1291.99i) q^{92} +(136.323 + 564.182i) q^{93} +(145.644 - 156.966i) q^{94} +(-33.9974 - 2.54776i) q^{95} +(2329.15 - 1158.28i) q^{96} +1133.81i q^{97} +(1323.98 - 1267.59i) q^{98} +(1463.85 - 147.127i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} + O(q^{10}) \) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} - 58q^{10} - 207q^{12} - 28q^{13} - 148q^{15} + 726q^{16} - 81q^{18} - 342q^{19} - 371q^{21} - 156q^{22} - 428q^{24} + 1250q^{25} - 56q^{27} + 700q^{28} + 389q^{30} + 888q^{31} + 841q^{33} - 532q^{34} - 38q^{36} + 1178q^{37} - 180q^{39} + 194q^{40} + 56q^{42} + 1296q^{43} - 617q^{45} - 6756q^{46} - 2380q^{49} + 787q^{51} - 5204q^{52} + 4144q^{54} - 5698q^{55} + 863q^{57} - 3066q^{58} + 2820q^{60} + 1492q^{61} - 1085q^{63} + 7648q^{64} + 2568q^{66} + 142q^{67} - 5474q^{69} + 5180q^{70} + 1278q^{72} + 2876q^{73} - 1754q^{75} + 7644q^{76} + 936q^{78} - 992q^{79} + 911q^{81} + 1022q^{82} + 7868q^{84} + 2672q^{85} - 196q^{87} + 370q^{88} - 18767q^{90} - 2254q^{91} - 11096q^{93} - 3628q^{94} - 24248q^{96} + 10982q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.97448 1.95234i −1.75874 0.690256i −0.999208 0.0397903i \(-0.987331\pi\)
−0.759536 0.650466i \(-0.774574\pi\)
\(3\) 3.58231 + 3.76391i 0.689417 + 0.724365i
\(4\) 15.0694 + 13.9824i 1.88367 + 1.74779i
\(5\) 2.11564 + 1.44242i 0.189229 + 0.129014i 0.654229 0.756297i \(-0.272993\pi\)
−0.465000 + 0.885311i \(0.653946\pi\)
\(6\) −10.4717 25.7174i −0.712510 1.74985i
\(7\) −9.97572 15.6040i −0.538638 0.842537i
\(8\) −29.1151 60.4581i −1.28672 2.67190i
\(9\) −1.33405 + 26.9670i −0.0494092 + 0.998779i
\(10\) −7.70811 11.3057i −0.243752 0.357518i
\(11\) −8.12131 53.8814i −0.222606 1.47690i −0.768936 0.639325i \(-0.779214\pi\)
0.546330 0.837570i \(-0.316024\pi\)
\(12\) 1.35497 + 106.809i 0.0325955 + 2.56943i
\(13\) 15.0967 12.0392i 0.322082 0.256852i −0.449079 0.893492i \(-0.648248\pi\)
0.771161 + 0.636640i \(0.219676\pi\)
\(14\) 19.1597 + 97.0978i 0.365760 + 1.85361i
\(15\) 2.14975 + 13.1303i 0.0370042 + 0.226015i
\(16\) 14.5078 + 193.593i 0.226685 + 3.02490i
\(17\) 110.570 + 34.1063i 1.57748 + 0.486588i 0.955139 0.296157i \(-0.0957052\pi\)
0.622342 + 0.782746i \(0.286181\pi\)
\(18\) 59.2850 131.542i 0.776311 1.72249i
\(19\) −11.5307 + 6.65727i −0.139228 + 0.0803833i −0.567996 0.823031i \(-0.692281\pi\)
0.428768 + 0.903415i \(0.358948\pi\)
\(20\) 11.7130 + 51.3180i 0.130955 + 0.573753i
\(21\) 22.9959 93.4462i 0.238958 0.971030i
\(22\) −64.7954 + 283.887i −0.627929 + 2.75114i
\(23\) −20.5613 66.6580i −0.186405 0.604311i −0.999746 0.0225238i \(-0.992830\pi\)
0.813341 0.581787i \(-0.197646\pi\)
\(24\) 123.260 326.167i 1.04834 2.77410i
\(25\) −43.2723 110.256i −0.346178 0.882048i
\(26\) −98.6026 + 30.4149i −0.743753 + 0.229417i
\(27\) −106.280 + 91.5831i −0.757544 + 0.652784i
\(28\) 67.8527 374.627i 0.457963 2.52849i
\(29\) 215.079 49.0903i 1.37721 0.314339i 0.531083 0.847320i \(-0.321785\pi\)
0.846127 + 0.532981i \(0.178928\pi\)
\(30\) 14.9409 69.5133i 0.0909272 0.423045i
\(31\) 96.7364 + 55.8508i 0.560464 + 0.323584i 0.753332 0.657641i \(-0.228446\pi\)
−0.192868 + 0.981225i \(0.561779\pi\)
\(32\) 147.558 478.373i 0.815153 2.64266i
\(33\) 173.712 223.588i 0.916343 1.17944i
\(34\) −483.441 385.532i −2.43851 1.94465i
\(35\) 1.40249 47.4016i 0.00677326 0.228924i
\(36\) −397.166 + 387.723i −1.83873 + 1.79502i
\(37\) 192.863 178.951i 0.856932 0.795117i −0.123424 0.992354i \(-0.539387\pi\)
0.980356 + 0.197237i \(0.0631970\pi\)
\(38\) 70.3566 10.6046i 0.300351 0.0452707i
\(39\) 99.3955 + 13.6943i 0.408103 + 0.0562269i
\(40\) 25.6089 169.904i 0.101228 0.671603i
\(41\) −54.3502 + 26.1737i −0.207026 + 0.0996986i −0.534524 0.845153i \(-0.679509\pi\)
0.327497 + 0.944852i \(0.393795\pi\)
\(42\) −296.831 + 419.950i −1.09053 + 1.54285i
\(43\) 136.054 + 65.5200i 0.482512 + 0.232365i 0.659295 0.751884i \(-0.270855\pi\)
−0.176783 + 0.984250i \(0.556569\pi\)
\(44\) 631.005 925.515i 2.16199 3.17106i
\(45\) −41.7201 + 55.1282i −0.138206 + 0.182623i
\(46\) −27.8574 + 371.731i −0.0892902 + 1.19150i
\(47\) −14.6391 + 37.2998i −0.0454325 + 0.115760i −0.951789 0.306754i \(-0.900757\pi\)
0.906356 + 0.422514i \(0.138852\pi\)
\(48\) −676.697 + 748.119i −2.03485 + 2.24962i
\(49\) −143.970 + 311.322i −0.419738 + 0.907645i
\(50\) 632.948i 1.79025i
\(51\) 267.723 + 538.356i 0.735074 + 1.47813i
\(52\) 395.834 + 29.6637i 1.05562 + 0.0791079i
\(53\) 426.072 459.196i 1.10425 1.19010i 0.124016 0.992280i \(-0.460423\pi\)
0.980238 0.197822i \(-0.0633869\pi\)
\(54\) 707.491 248.083i 1.78291 0.625181i
\(55\) 60.5378 125.708i 0.148417 0.308190i
\(56\) −652.945 + 1057.43i −1.55810 + 2.52329i
\(57\) −66.3641 19.5522i −0.154213 0.0454343i
\(58\) −1165.74 175.708i −2.63913 0.397786i
\(59\) −297.868 + 203.083i −0.657274 + 0.448122i −0.845479 0.534008i \(-0.820685\pi\)
0.188206 + 0.982130i \(0.439733\pi\)
\(60\) −151.197 + 227.924i −0.325324 + 0.490414i
\(61\) 50.1623 + 54.0622i 0.105289 + 0.113475i 0.783497 0.621395i \(-0.213434\pi\)
−0.678208 + 0.734870i \(0.737243\pi\)
\(62\) −372.173 466.691i −0.762356 0.955964i
\(63\) 434.102 248.199i 0.868122 0.496351i
\(64\) −699.636 + 877.316i −1.36648 + 1.71351i
\(65\) 49.3047 3.69487i 0.0940845 0.00705066i
\(66\) −1300.64 + 773.089i −2.42573 + 1.44183i
\(67\) 301.517 522.243i 0.549794 0.952270i −0.448495 0.893786i \(-0.648040\pi\)
0.998288 0.0584850i \(-0.0186270\pi\)
\(68\) 1189.34 + 2059.99i 2.12100 + 3.67369i
\(69\) 177.238 316.181i 0.309231 0.551647i
\(70\) −99.5207 + 233.060i −0.169929 + 0.397943i
\(71\) −510.193 116.448i −0.852800 0.194646i −0.226291 0.974060i \(-0.572660\pi\)
−0.626510 + 0.779414i \(0.715517\pi\)
\(72\) 1669.22 704.493i 2.73221 1.15313i
\(73\) 907.399 356.128i 1.45484 0.570981i 0.499451 0.866342i \(-0.333535\pi\)
0.955386 + 0.295361i \(0.0954399\pi\)
\(74\) −1308.77 + 513.652i −2.05596 + 0.806904i
\(75\) 259.979 557.844i 0.400263 0.858858i
\(76\) −266.845 60.9057i −0.402753 0.0919259i
\(77\) −759.750 + 664.230i −1.12444 + 0.983066i
\(78\) −467.705 262.176i −0.678937 0.380584i
\(79\) −359.127 622.026i −0.511455 0.885866i −0.999912 0.0132781i \(-0.995773\pi\)
0.488457 0.872588i \(-0.337560\pi\)
\(80\) −248.549 + 430.500i −0.347358 + 0.601643i
\(81\) −725.441 71.9507i −0.995117 0.0986978i
\(82\) 321.464 24.0904i 0.432924 0.0324431i
\(83\) 407.372 510.829i 0.538734 0.675551i −0.435734 0.900075i \(-0.643511\pi\)
0.974469 + 0.224524i \(0.0720827\pi\)
\(84\) 1653.13 1086.64i 2.14728 1.41145i
\(85\) 184.731 + 231.645i 0.235728 + 0.295593i
\(86\) −548.879 591.551i −0.688223 0.741728i
\(87\) 955.251 + 633.680i 1.17717 + 0.780892i
\(88\) −3021.11 + 2059.76i −3.65968 + 2.49513i
\(89\) −351.808 53.0265i −0.419006 0.0631550i −0.0638443 0.997960i \(-0.520336\pi\)
−0.355162 + 0.934805i \(0.615574\pi\)
\(90\) 315.165 192.782i 0.369125 0.225790i
\(91\) −338.460 115.469i −0.389893 0.133016i
\(92\) 622.190 1291.99i 0.705084 1.46412i
\(93\) 136.323 + 564.182i 0.152000 + 0.629064i
\(94\) 145.644 156.966i 0.159808 0.172232i
\(95\) −33.9974 2.54776i −0.0367165 0.00275152i
\(96\) 2329.15 1158.28i 2.47623 1.23143i
\(97\) 1133.81i 1.18682i 0.804901 + 0.593409i \(0.202218\pi\)
−0.804901 + 0.593409i \(0.797782\pi\)
\(98\) 1323.98 1267.59i 1.36472 1.30659i
\(99\) 1463.85 147.127i 1.48609 0.149362i
\(100\) 889.551 2266.54i 0.889551 2.26654i
\(101\) −104.968 + 1400.70i −0.103413 + 1.37995i 0.668259 + 0.743929i \(0.267040\pi\)
−0.771672 + 0.636021i \(0.780579\pi\)
\(102\) −280.732 3200.72i −0.272516 3.10705i
\(103\) −1123.10 + 1647.29i −1.07439 + 1.57584i −0.288499 + 0.957480i \(0.593156\pi\)
−0.785893 + 0.618363i \(0.787796\pi\)
\(104\) −1167.41 562.194i −1.10071 0.530074i
\(105\) 183.440 164.529i 0.170494 0.152918i
\(106\) −3015.99 + 1452.42i −2.76357 + 1.33087i
\(107\) −28.1764 + 186.938i −0.0254571 + 0.168897i −0.997947 0.0640493i \(-0.979599\pi\)
0.972490 + 0.232946i \(0.0748366\pi\)
\(108\) −2882.13 105.949i −2.56790 0.0943977i
\(109\) 550.280 82.9414i 0.483553 0.0728839i 0.0972582 0.995259i \(-0.468993\pi\)
0.386295 + 0.922375i \(0.373755\pi\)
\(110\) −546.568 + 507.141i −0.473757 + 0.439582i
\(111\) 1364.45 + 84.8614i 1.16674 + 0.0725648i
\(112\) 2876.11 2157.61i 2.42649 1.82032i
\(113\) −1475.34 1176.55i −1.22822 0.979472i −0.999983 0.00586571i \(-0.998133\pi\)
−0.228236 0.973606i \(-0.573296\pi\)
\(114\) 291.954 + 226.827i 0.239860 + 0.186354i
\(115\) 52.6485 170.682i 0.0426913 0.138402i
\(116\) 3927.50 + 2267.54i 3.14362 + 1.81497i
\(117\) 304.521 + 423.173i 0.240624 + 0.334379i
\(118\) 1878.23 428.693i 1.46529 0.334444i
\(119\) −570.820 2065.57i −0.439723 1.59118i
\(120\) 731.242 512.259i 0.556274 0.389689i
\(121\) −1565.38 + 482.856i −1.17609 + 0.362777i
\(122\) −143.984 366.865i −0.106850 0.272249i
\(123\) −293.215 110.807i −0.214945 0.0812287i
\(124\) 676.833 + 2194.24i 0.490173 + 1.58910i
\(125\) 138.709 607.725i 0.0992522 0.434852i
\(126\) −2644.00 + 387.146i −1.86941 + 0.273728i
\(127\) 63.1006 + 276.462i 0.0440887 + 0.193165i 0.992176 0.124844i \(-0.0398429\pi\)
−0.948088 + 0.318009i \(0.896986\pi\)
\(128\) 1724.79 995.808i 1.19103 0.687639i
\(129\) 240.776 + 746.807i 0.164334 + 0.509711i
\(130\) −252.479 77.8794i −0.170337 0.0525421i
\(131\) −17.7165 236.410i −0.0118160 0.157673i −0.999991 0.00434052i \(-0.998618\pi\)
0.988175 0.153333i \(-0.0490007\pi\)
\(132\) 5744.01 940.437i 3.78752 0.620110i
\(133\) 218.907 + 113.515i 0.142719 + 0.0740072i
\(134\) −2519.49 + 2009.22i −1.62426 + 1.29530i
\(135\) −356.952 + 40.4559i −0.227567 + 0.0257918i
\(136\) −1157.25 7677.87i −0.729658 4.84097i
\(137\) −529.172 776.153i −0.330002 0.484024i 0.625000 0.780625i \(-0.285099\pi\)
−0.955001 + 0.296601i \(0.904147\pi\)
\(138\) −1498.96 + 1226.81i −0.924636 + 0.756758i
\(139\) −926.152 1923.17i −0.565145 1.17354i −0.966274 0.257514i \(-0.917097\pi\)
0.401129 0.916021i \(-0.368618\pi\)
\(140\) 683.921 694.704i 0.412870 0.419380i
\(141\) −192.835 + 78.5193i −0.115175 + 0.0468973i
\(142\) 2310.60 + 1575.34i 1.36550 + 0.930983i
\(143\) −771.293 715.655i −0.451040 0.418504i
\(144\) −5239.99 + 132.970i −3.03240 + 0.0769500i
\(145\) 525.838 + 206.376i 0.301162 + 0.118197i
\(146\) −5209.12 −2.95281
\(147\) −1687.54 + 573.364i −0.946841 + 0.321702i
\(148\) 5408.48 3.00388
\(149\) −284.360 111.603i −0.156347 0.0613616i 0.285877 0.958266i \(-0.407715\pi\)
−0.442224 + 0.896905i \(0.645810\pi\)
\(150\) −2382.36 + 2267.42i −1.29679 + 1.23423i
\(151\) 577.036 + 535.411i 0.310984 + 0.288551i 0.820187 0.572096i \(-0.193869\pi\)
−0.509203 + 0.860646i \(0.670060\pi\)
\(152\) 738.204 + 503.299i 0.393923 + 0.268572i
\(153\) −1067.25 + 2936.25i −0.563936 + 1.55151i
\(154\) 5076.16 1820.91i 2.65616 0.952813i
\(155\) 124.099 + 257.695i 0.0643089 + 0.133539i
\(156\) 1306.35 + 1596.15i 0.670460 + 0.819193i
\(157\) 1852.28 + 2716.79i 0.941580 + 1.38104i 0.924497 + 0.381189i \(0.124485\pi\)
0.0170825 + 0.999854i \(0.494562\pi\)
\(158\) 572.064 + 3795.39i 0.288044 + 1.91105i
\(159\) 3254.70 41.2888i 1.62336 0.0205938i
\(160\) 1002.19 799.223i 0.495190 0.394901i
\(161\) −835.018 + 985.799i −0.408749 + 0.482558i
\(162\) 3468.22 + 1774.22i 1.68203 + 0.860470i
\(163\) 1.64822 + 21.9939i 0.000792014 + 0.0105687i 0.997586 0.0694447i \(-0.0221227\pi\)
−0.996794 + 0.0800134i \(0.974504\pi\)
\(164\) −1184.99 365.522i −0.564223 0.174040i
\(165\) 690.019 222.467i 0.325563 0.104964i
\(166\) −3023.78 + 1745.78i −1.41380 + 0.816257i
\(167\) 231.943 + 1016.21i 0.107475 + 0.470878i 0.999810 + 0.0195040i \(0.00620872\pi\)
−0.892335 + 0.451374i \(0.850934\pi\)
\(168\) −6319.11 + 1330.40i −2.90196 + 0.610969i
\(169\) −405.911 + 1778.41i −0.184757 + 0.809473i
\(170\) −466.690 1512.97i −0.210550 0.682586i
\(171\) −164.144 319.831i −0.0734060 0.143030i
\(172\) 1134.12 + 2889.70i 0.502768 + 1.28103i
\(173\) 740.583 228.440i 0.325465 0.100393i −0.127717 0.991811i \(-0.540765\pi\)
0.453182 + 0.891418i \(0.350289\pi\)
\(174\) −3514.72 5017.20i −1.53132 2.18594i
\(175\) −1288.76 + 1775.10i −0.556693 + 0.766772i
\(176\) 10313.3 2353.93i 4.41700 1.00815i
\(177\) −1831.44 393.642i −0.777739 0.167163i
\(178\) 1646.53 + 950.627i 0.693331 + 0.400295i
\(179\) −1067.67 + 3461.29i −0.445817 + 1.44530i 0.402307 + 0.915505i \(0.368208\pi\)
−0.848124 + 0.529798i \(0.822268\pi\)
\(180\) −1399.52 + 247.404i −0.579522 + 0.102447i
\(181\) −3591.30 2863.97i −1.47480 1.17612i −0.944591 0.328251i \(-0.893541\pi\)
−0.530212 0.847865i \(-0.677888\pi\)
\(182\) 1458.23 + 1235.19i 0.593906 + 0.503066i
\(183\) −23.7878 + 382.474i −0.00960900 + 0.154499i
\(184\) −3431.37 + 3183.85i −1.37481 + 1.27563i
\(185\) 666.150 100.406i 0.264737 0.0399027i
\(186\) 423.340 3072.66i 0.166886 1.21128i
\(187\) 939.723 6234.66i 0.367483 2.43809i
\(188\) −742.141 + 357.396i −0.287905 + 0.138648i
\(189\) 2489.29 + 744.794i 0.958037 + 0.286644i
\(190\) 164.145 + 79.0483i 0.0626756 + 0.0301830i
\(191\) 101.106 148.295i 0.0383024 0.0561793i −0.806610 0.591084i \(-0.798700\pi\)
0.844912 + 0.534905i \(0.179653\pi\)
\(192\) −5808.46 + 509.453i −2.18328 + 0.191493i
\(193\) 125.095 1669.28i 0.0466557 0.622577i −0.924045 0.382284i \(-0.875138\pi\)
0.970700 0.240293i \(-0.0772434\pi\)
\(194\) 2213.59 5640.13i 0.819208 2.08731i
\(195\) 190.532 + 172.342i 0.0699707 + 0.0632907i
\(196\) −6522.56 + 2678.40i −2.37703 + 0.976092i
\(197\) 2687.59i 0.971996i −0.873960 0.485998i \(-0.838456\pi\)
0.873960 0.485998i \(-0.161544\pi\)
\(198\) −7569.16 2126.06i −2.71675 0.763093i
\(199\) −2157.73 161.699i −0.768630 0.0576008i −0.315357 0.948973i \(-0.602124\pi\)
−0.453272 + 0.891372i \(0.649743\pi\)
\(200\) −5405.99 + 5826.27i −1.91131 + 2.05990i
\(201\) 3045.80 735.955i 1.06883 0.258260i
\(202\) 3256.80 6762.82i 1.13440 2.35560i
\(203\) −2911.57 2866.38i −1.00666 0.991036i
\(204\) −3493.05 + 11856.1i −1.19883 + 4.06908i
\(205\) −152.739 23.0217i −0.0520378 0.00784343i
\(206\) 8802.90 6001.71i 2.97731 2.02990i
\(207\) 1825.00 465.551i 0.612783 0.156319i
\(208\) 2549.73 + 2747.95i 0.849961 + 0.916040i
\(209\) 452.348 + 567.226i 0.149711 + 0.187731i
\(210\) −1233.73 + 460.308i −0.405408 + 0.151258i
\(211\) −135.124 + 169.440i −0.0440868 + 0.0552831i −0.803386 0.595458i \(-0.796970\pi\)
0.759299 + 0.650742i \(0.225542\pi\)
\(212\) 12841.3 962.321i 4.16011 0.311757i
\(213\) −1389.37 2337.48i −0.446940 0.751931i
\(214\) 505.129 874.909i 0.161355 0.279474i
\(215\) 193.333 + 334.863i 0.0613266 + 0.106221i
\(216\) 8631.31 + 3759.06i 2.71892 + 1.18413i
\(217\) −93.5189 2066.63i −0.0292556 0.646506i
\(218\) −2899.29 661.744i −0.900755 0.205591i
\(219\) 4591.02 + 2139.61i 1.41659 + 0.660189i
\(220\) 2669.96 1047.88i 0.818221 0.321128i
\(221\) 2079.85 816.282i 0.633059 0.248457i
\(222\) −6621.75 3086.01i −2.00190 0.932971i
\(223\) 2172.57 + 495.875i 0.652404 + 0.148907i 0.535898 0.844283i \(-0.319973\pi\)
0.116507 + 0.993190i \(0.462830\pi\)
\(224\) −8936.53 + 2469.61i −2.66561 + 0.736641i
\(225\) 3031.00 1019.84i 0.898075 0.302174i
\(226\) 5042.05 + 8733.08i 1.48404 + 2.57042i
\(227\) −1131.14 + 1959.20i −0.330734 + 0.572848i −0.982656 0.185438i \(-0.940630\pi\)
0.651922 + 0.758286i \(0.273963\pi\)
\(228\) −726.680 1222.57i −0.211077 0.355116i
\(229\) −980.054 + 73.4449i −0.282811 + 0.0211938i −0.215381 0.976530i \(-0.569099\pi\)
−0.0674308 + 0.997724i \(0.521480\pi\)
\(230\) −595.128 + 746.267i −0.170616 + 0.213945i
\(231\) −5221.77 480.148i −1.48730 0.136759i
\(232\) −9229.94 11574.0i −2.61196 3.27530i
\(233\) 421.884 + 454.683i 0.118620 + 0.127842i 0.789570 0.613661i \(-0.210304\pi\)
−0.670949 + 0.741503i \(0.734113\pi\)
\(234\) −688.658 2699.59i −0.192389 0.754180i
\(235\) −84.7729 + 57.7972i −0.0235318 + 0.0160437i
\(236\) −7328.27 1104.56i −2.02131 0.304664i
\(237\) 1054.75 3580.02i 0.289085 0.981211i
\(238\) −1193.16 + 11389.6i −0.324964 + 3.10200i
\(239\) 330.138 685.539i 0.0893509 0.185539i −0.851505 0.524347i \(-0.824309\pi\)
0.940856 + 0.338808i \(0.110024\pi\)
\(240\) −2510.75 + 606.669i −0.675283 + 0.163168i
\(241\) 457.630 493.207i 0.122317 0.131827i −0.668924 0.743331i \(-0.733245\pi\)
0.791241 + 0.611504i \(0.209435\pi\)
\(242\) 8729.65 + 654.197i 2.31886 + 0.173774i
\(243\) −2327.94 2988.24i −0.614557 0.788872i
\(244\) 1516.07i 0.397773i
\(245\) −753.646 + 450.981i −0.196525 + 0.117600i
\(246\) 1242.26 + 1123.66i 0.321965 + 0.291228i
\(247\) −93.9275 + 239.323i −0.0241962 + 0.0616509i
\(248\) 560.144 7474.60i 0.143424 1.91386i
\(249\) 3382.05 296.636i 0.860758 0.0754962i
\(250\) −1876.49 + 2752.31i −0.474719 + 0.696284i
\(251\) 82.3249 + 39.6456i 0.0207024 + 0.00996975i 0.444206 0.895925i \(-0.353486\pi\)
−0.423504 + 0.905894i \(0.639200\pi\)
\(252\) 10012.1 + 2329.56i 2.50278 + 0.582335i
\(253\) −3424.64 + 1649.22i −0.851009 + 0.409824i
\(254\) 225.854 1498.45i 0.0557928 0.370161i
\(255\) −210.128 + 1525.14i −0.0516028 + 0.374540i
\(256\) −1647.32 + 248.293i −0.402177 + 0.0606184i
\(257\) 383.701 356.022i 0.0931307 0.0864127i −0.632234 0.774778i \(-0.717862\pi\)
0.725364 + 0.688365i \(0.241671\pi\)
\(258\) 260.288 4185.05i 0.0628093 1.00988i
\(259\) −4716.29 1224.27i −1.13149 0.293717i
\(260\) 794.655 + 633.716i 0.189548 + 0.151159i
\(261\) 1036.89 + 5865.52i 0.245908 + 1.39106i
\(262\) −373.422 + 1210.60i −0.0880537 + 0.285463i
\(263\) 3423.42 + 1976.51i 0.802651 + 0.463411i 0.844397 0.535717i \(-0.179959\pi\)
−0.0417460 + 0.999128i \(0.513292\pi\)
\(264\) −18575.3 3992.49i −4.33043 0.930761i
\(265\) 1563.77 356.920i 0.362496 0.0827374i
\(266\) −867.331 992.057i −0.199923 0.228673i
\(267\) −1060.70 1514.13i −0.243122 0.347053i
\(268\) 11845.9 3653.96i 2.70000 0.832841i
\(269\) 1978.99 + 5042.39i 0.448555 + 1.14290i 0.959105 + 0.283051i \(0.0913467\pi\)
−0.510550 + 0.859848i \(0.670558\pi\)
\(270\) 1854.64 + 495.645i 0.418035 + 0.111718i
\(271\) −2247.75 7287.03i −0.503842 1.63342i −0.748014 0.663683i \(-0.768992\pi\)
0.244172 0.969732i \(-0.421484\pi\)
\(272\) −4998.63 + 21900.4i −1.11429 + 4.88202i
\(273\) −777.854 1687.58i −0.172446 0.374128i
\(274\) 1117.04 + 4894.08i 0.246288 + 1.07906i
\(275\) −5589.32 + 3226.99i −1.22563 + 0.707618i
\(276\) 7091.81 2286.45i 1.54666 0.498652i
\(277\) 519.684 + 160.301i 0.112725 + 0.0347710i 0.350604 0.936524i \(-0.385976\pi\)
−0.237880 + 0.971295i \(0.576452\pi\)
\(278\) 852.434 + 11374.9i 0.183905 + 2.45404i
\(279\) −1635.18 + 2534.19i −0.350881 + 0.543791i
\(280\) −2906.65 + 1295.31i −0.620376 + 0.276463i
\(281\) −1241.85 + 990.343i −0.263639 + 0.210245i −0.746383 0.665516i \(-0.768211\pi\)
0.482744 + 0.875761i \(0.339640\pi\)
\(282\) 1112.55 14.1137i 0.234934 0.00298035i
\(283\) −852.646 5656.93i −0.179097 1.18823i −0.879999 0.474975i \(-0.842457\pi\)
0.700902 0.713258i \(-0.252781\pi\)
\(284\) −6060.08 8888.51i −1.26620 1.85717i
\(285\) −112.200 137.090i −0.0233198 0.0284931i
\(286\) 2439.58 + 5065.84i 0.504389 + 1.04738i
\(287\) 950.597 + 586.980i 0.195512 + 0.120726i
\(288\) 12703.4 + 4617.39i 2.59916 + 0.944729i
\(289\) 7003.18 + 4774.69i 1.42544 + 0.971848i
\(290\) −2212.85 2053.23i −0.448080 0.415757i
\(291\) −4267.57 + 4061.68i −0.859689 + 0.818212i
\(292\) 18653.5 + 7320.95i 3.73840 + 1.46721i
\(293\) 7556.37 1.50665 0.753324 0.657650i \(-0.228449\pi\)
0.753324 + 0.657650i \(0.228449\pi\)
\(294\) 9514.01 + 442.456i 1.88731 + 0.0877706i
\(295\) −923.113 −0.182189
\(296\) −16434.2 6449.97i −3.22710 1.26654i
\(297\) 5797.76 + 4982.76i 1.13273 + 0.973499i
\(298\) 1196.66 + 1110.33i 0.232619 + 0.215839i
\(299\) −1112.92 758.773i −0.215256 0.146759i
\(300\) 11717.7 4771.26i 2.25507 0.918230i
\(301\) −334.859 2776.59i −0.0641227 0.531695i
\(302\) −1825.15 3789.96i −0.347767 0.722145i
\(303\) −5648.14 + 4622.66i −1.07088 + 0.876452i
\(304\) −1456.09 2135.69i −0.274712 0.402929i
\(305\) 28.1452 + 186.731i 0.00528390 + 0.0350564i
\(306\) 11041.6 12522.7i 2.06276 2.33945i
\(307\) −7521.63 + 5998.30i −1.39831 + 1.11512i −0.420110 + 0.907473i \(0.638008\pi\)
−0.978204 + 0.207645i \(0.933420\pi\)
\(308\) −20736.5 613.538i −3.83627 0.113505i
\(309\) −10223.5 + 1673.84i −1.88219 + 0.308161i
\(310\) −114.221 1524.18i −0.0209269 0.279250i
\(311\) 8492.56 + 2619.61i 1.54845 + 0.477634i 0.946989 0.321266i \(-0.104108\pi\)
0.601464 + 0.798900i \(0.294584\pi\)
\(312\) −2065.97 6407.97i −0.374881 1.16276i
\(313\) 335.205 193.531i 0.0605332 0.0349489i −0.469428 0.882971i \(-0.655540\pi\)
0.529961 + 0.848022i \(0.322206\pi\)
\(314\) −3910.02 17130.9i −0.702723 3.07883i
\(315\) 1276.41 + 101.057i 0.228310 + 0.0180759i
\(316\) 3285.56 14395.0i 0.584897 2.56260i
\(317\) 293.192 + 950.504i 0.0519473 + 0.168409i 0.977829 0.209404i \(-0.0671524\pi\)
−0.925882 + 0.377813i \(0.876676\pi\)
\(318\) −16271.0 6148.88i −2.86929 1.08431i
\(319\) −4391.77 11190.1i −0.770822 1.96402i
\(320\) −2745.64 + 846.916i −0.479643 + 0.147950i
\(321\) −804.554 + 563.617i −0.139894 + 0.0980001i
\(322\) 6078.40 3273.60i 1.05197 0.566554i
\(323\) −1502.01 + 342.824i −0.258743 + 0.0590564i
\(324\) −9925.91 11227.6i −1.70197 1.92517i
\(325\) −1980.66 1143.53i −0.338053 0.195175i
\(326\) 34.7406 112.626i 0.00590216 0.0191343i
\(327\) 2283.46 + 1774.08i 0.386164 + 0.300022i
\(328\) 3164.82 + 2523.86i 0.532768 + 0.424869i
\(329\) 728.061 143.664i 0.122004 0.0240743i
\(330\) −3866.81 240.495i −0.645034 0.0401176i
\(331\) −1655.53 + 1536.10i −0.274912 + 0.255081i −0.805564 0.592509i \(-0.798138\pi\)
0.530652 + 0.847590i \(0.321947\pi\)
\(332\) 13281.4 2001.86i 2.19552 0.330922i
\(333\) 4568.48 + 5439.67i 0.751805 + 0.895171i
\(334\) 830.188 5507.94i 0.136006 0.902338i
\(335\) 1391.19 669.964i 0.226893 0.109266i
\(336\) 18424.2 + 3096.16i 2.99143 + 0.502707i
\(337\) 3026.88 + 1457.67i 0.489272 + 0.235621i 0.662219 0.749310i \(-0.269615\pi\)
−0.172947 + 0.984931i \(0.555329\pi\)
\(338\) 5491.26 8054.20i 0.883684 1.29613i
\(339\) −856.726 9767.83i −0.137259 1.56494i
\(340\) −455.163 + 6073.72i −0.0726019 + 0.968805i
\(341\) 2223.69 5665.87i 0.353137 0.899778i
\(342\) 192.114 + 1911.46i 0.0303753 + 0.302221i
\(343\) 6294.08 859.153i 0.990812 0.135247i
\(344\) 10133.2i 1.58821i
\(345\) 831.036 413.273i 0.129685 0.0644924i
\(346\) −4130.01 309.501i −0.641707 0.0480893i
\(347\) −7444.56 + 8023.32i −1.15171 + 1.24125i −0.185744 + 0.982598i \(0.559470\pi\)
−0.965970 + 0.258654i \(0.916721\pi\)
\(348\) 5534.71 + 22905.8i 0.852562 + 3.52839i
\(349\) −3739.74 + 7765.64i −0.573592 + 1.19108i 0.389281 + 0.921119i \(0.372723\pi\)
−0.962873 + 0.269956i \(0.912991\pi\)
\(350\) 9876.52 6314.11i 1.50835 0.964295i
\(351\) −501.894 + 2662.13i −0.0763223 + 0.404826i
\(352\) −26973.8 4065.64i −4.08439 0.615623i
\(353\) −1646.64 + 1122.66i −0.248277 + 0.169272i −0.681064 0.732224i \(-0.738483\pi\)
0.432787 + 0.901496i \(0.357530\pi\)
\(354\) 8341.96 + 5533.76i 1.25246 + 0.830837i
\(355\) −911.418 982.275i −0.136262 0.146856i
\(356\) −4560.09 5718.17i −0.678889 0.851300i
\(357\) 5729.77 9548.04i 0.849444 1.41551i
\(358\) 12068.7 15133.7i 1.78171 2.23419i
\(359\) −2778.84 + 208.245i −0.408527 + 0.0306149i −0.277409 0.960752i \(-0.589476\pi\)
−0.131118 + 0.991367i \(0.541857\pi\)
\(360\) 4547.63 + 917.255i 0.665782 + 0.134288i
\(361\) −3340.86 + 5786.54i −0.487077 + 0.843642i
\(362\) 12273.4 + 21258.2i 1.78198 + 3.08648i
\(363\) −7425.11 4162.21i −1.07360 0.601817i
\(364\) −3485.86 6472.51i −0.501946 0.932010i
\(365\) 2433.42 + 555.411i 0.348961 + 0.0796481i
\(366\) 865.051 1856.17i 0.123544 0.265091i
\(367\) 3317.56 1302.05i 0.471868 0.185194i −0.117478 0.993075i \(-0.537481\pi\)
0.589345 + 0.807881i \(0.299386\pi\)
\(368\) 12606.2 4947.59i 1.78572 0.700845i
\(369\) −633.320 1500.58i −0.0893478 0.211699i
\(370\) −3509.78 801.084i −0.493148 0.112558i
\(371\) −11415.7 2067.62i −1.59750 0.289340i
\(372\) −5834.29 + 10408.0i −0.813156 + 1.45062i
\(373\) −702.368 1216.54i −0.0974994 0.168874i 0.813150 0.582055i \(-0.197751\pi\)
−0.910649 + 0.413181i \(0.864418\pi\)
\(374\) −16846.8 + 29179.5i −2.32922 + 4.03432i
\(375\) 2784.32 1654.97i 0.383418 0.227900i
\(376\) 2681.29 200.935i 0.367758 0.0275597i
\(377\) 2655.96 3330.47i 0.362836 0.454982i
\(378\) −10928.8 8564.89i −1.48708 1.16542i
\(379\) −2640.97 3311.67i −0.357936 0.448837i 0.569963 0.821671i \(-0.306958\pi\)
−0.927898 + 0.372834i \(0.878386\pi\)
\(380\) −476.697 513.757i −0.0643528 0.0693558i
\(381\) −814.531 + 1227.88i −0.109527 + 0.165108i
\(382\) −792.470 + 540.297i −0.106142 + 0.0723665i
\(383\) 7560.14 + 1139.51i 1.00863 + 0.152027i 0.632516 0.774547i \(-0.282022\pi\)
0.376114 + 0.926574i \(0.377260\pi\)
\(384\) 9926.87 + 2924.66i 1.31922 + 0.388668i
\(385\) −2565.46 + 309.395i −0.339604 + 0.0409565i
\(386\) −3881.28 + 8059.57i −0.511793 + 1.06275i
\(387\) −1948.38 + 3581.56i −0.255922 + 0.470441i
\(388\) −15853.4 + 17085.9i −2.07431 + 2.23558i
\(389\) 4924.95 + 369.074i 0.641914 + 0.0481048i 0.391711 0.920088i \(-0.371883\pi\)
0.250204 + 0.968193i \(0.419502\pi\)
\(390\) −611.327 1229.30i −0.0793737 0.159610i
\(391\) 8071.65i 1.04399i
\(392\) 23013.7 360.017i 2.96522 0.0463867i
\(393\) 826.359 913.577i 0.106067 0.117262i
\(394\) −5247.09 + 13369.4i −0.670926 + 1.70949i
\(395\) 137.439 1834.00i 0.0175071 0.233616i
\(396\) 24116.6 + 18251.0i 3.06036 + 2.31603i
\(397\) −456.908 + 670.161i −0.0577621 + 0.0847215i −0.854033 0.520218i \(-0.825851\pi\)
0.796271 + 0.604940i \(0.206803\pi\)
\(398\) 10417.9 + 5016.99i 1.31206 + 0.631856i
\(399\) 356.936 + 1230.59i 0.0447849 + 0.154403i
\(400\) 20717.0 9976.80i 2.58963 1.24710i
\(401\) 657.125 4359.74i 0.0818336 0.542931i −0.909921 0.414781i \(-0.863858\pi\)
0.991755 0.128149i \(-0.0409037\pi\)
\(402\) −16588.1 2285.45i −2.05806 0.283552i
\(403\) 2132.80 321.467i 0.263628 0.0397355i
\(404\) −21166.9 + 19640.0i −2.60666 + 2.41863i
\(405\) −1430.99 1198.61i −0.175571 0.147060i
\(406\) 8887.40 + 19943.1i 1.08639 + 2.43783i
\(407\) −11208.4 8938.41i −1.36506 1.08860i
\(408\) 24753.2 31860.3i 3.00359 3.86598i
\(409\) −2968.32 + 9623.06i −0.358861 + 1.16340i 0.578689 + 0.815548i \(0.303564\pi\)
−0.937550 + 0.347850i \(0.886912\pi\)
\(410\) 714.850 + 412.719i 0.0861071 + 0.0497140i
\(411\) 1025.71 4772.18i 0.123101 0.572736i
\(412\) −39957.4 + 9120.01i −4.77805 + 1.09056i
\(413\) 6140.36 + 2622.04i 0.731592 + 0.312402i
\(414\) −9987.32 1247.14i −1.18563 0.148052i
\(415\) 1598.68 493.128i 0.189099 0.0583294i
\(416\) −3531.58 8998.32i −0.416226 1.06053i
\(417\) 3920.89 10375.4i 0.460448 1.21843i
\(418\) −1142.78 3704.79i −0.133720 0.433510i
\(419\) 1667.85 7307.33i 0.194463 0.851997i −0.779701 0.626152i \(-0.784629\pi\)
0.974163 0.225844i \(-0.0725141\pi\)
\(420\) 5064.82 + 85.5708i 0.588424 + 0.00994149i
\(421\) 2544.14 + 11146.6i 0.294522 + 1.29038i 0.878159 + 0.478369i \(0.158772\pi\)
−0.583637 + 0.812014i \(0.698371\pi\)
\(422\) 1002.98 579.068i 0.115697 0.0667976i
\(423\) −986.334 444.532i −0.113374 0.0510967i
\(424\) −40167.2 12390.0i −4.60069 1.41913i
\(425\) −1024.19 13666.9i −0.116895 1.55986i
\(426\) 2347.85 + 14340.3i 0.267028 + 1.63096i
\(427\) 343.181 1322.04i 0.0388939 0.149832i
\(428\) −3038.43 + 2423.07i −0.343150 + 0.273653i
\(429\) −69.3511 5466.78i −0.00780490 0.615242i
\(430\) −307.966 2043.22i −0.0345382 0.229146i
\(431\) 7458.77 + 10940.0i 0.833588 + 1.22265i 0.972629 + 0.232362i \(0.0746455\pi\)
−0.139041 + 0.990287i \(0.544402\pi\)
\(432\) −19271.8 19246.5i −2.14633 2.14352i
\(433\) 3985.76 + 8276.52i 0.442364 + 0.918578i 0.996294 + 0.0860149i \(0.0274133\pi\)
−0.553930 + 0.832563i \(0.686872\pi\)
\(434\) −3569.55 + 10463.0i −0.394801 + 1.15723i
\(435\) 1106.93 + 2718.51i 0.122008 + 0.299638i
\(436\) 9452.11 + 6444.34i 1.03824 + 0.707862i
\(437\) 680.847 + 631.733i 0.0745293 + 0.0691531i
\(438\) −18660.7 19606.7i −2.03571 2.13891i
\(439\) 9121.44 + 3579.90i 0.991669 + 0.389201i 0.805034 0.593228i \(-0.202147\pi\)
0.186634 + 0.982429i \(0.440242\pi\)
\(440\) −9362.63 −1.01442
\(441\) −8203.37 4297.77i −0.885798 0.464071i
\(442\) −11939.8 −1.28489
\(443\) −6882.35 2701.12i −0.738127 0.289694i −0.0336632 0.999433i \(-0.510717\pi\)
−0.704464 + 0.709740i \(0.748813\pi\)
\(444\) 19374.9 + 20357.0i 2.07093 + 2.17591i
\(445\) −667.812 619.639i −0.0711400 0.0660083i
\(446\) −9839.30 6708.32i −1.04463 0.712215i
\(447\) −598.603 1470.10i −0.0633399 0.155556i
\(448\) 20669.0 + 2165.27i 2.17973 + 0.228347i
\(449\) 6052.70 + 12568.6i 0.636180 + 1.32104i 0.930836 + 0.365437i \(0.119080\pi\)
−0.294657 + 0.955603i \(0.595205\pi\)
\(450\) −17068.7 844.384i −1.78806 0.0884547i
\(451\) 1851.67 + 2715.90i 0.193330 + 0.283563i
\(452\) −5781.63 38358.6i −0.601649 3.99168i
\(453\) 51.8844 + 4089.92i 0.00538133 + 0.424197i
\(454\) 9451.86 7537.61i 0.977088 0.779201i
\(455\) −549.504 732.492i −0.0566179 0.0754719i
\(456\) 750.106 + 4581.51i 0.0770328 + 0.470502i
\(457\) −1104.38 14736.9i −0.113043 1.50845i −0.708868 0.705341i \(-0.750794\pi\)
0.595825 0.803114i \(-0.296825\pi\)
\(458\) 5018.65 + 1548.05i 0.512022 + 0.157938i
\(459\) −14875.0 + 6501.51i −1.51265 + 0.661143i
\(460\) 3179.92 1835.93i 0.322314 0.186088i
\(461\) 1378.88 + 6041.28i 0.139308 + 0.610348i 0.995588 + 0.0938359i \(0.0299129\pi\)
−0.856280 + 0.516513i \(0.827230\pi\)
\(462\) 25038.2 + 12583.1i 2.52139 + 1.26714i
\(463\) −3246.76 + 14225.0i −0.325896 + 1.42784i 0.500981 + 0.865458i \(0.332973\pi\)
−0.826876 + 0.562384i \(0.809884\pi\)
\(464\) 12623.9 + 40925.6i 1.26304 + 4.09466i
\(465\) −525.377 + 1390.24i −0.0523952 + 0.138647i
\(466\) −1210.96 3085.47i −0.120379 0.306720i
\(467\) 2177.35 671.622i 0.215751 0.0665502i −0.184996 0.982739i \(-0.559227\pi\)
0.400746 + 0.916189i \(0.368751\pi\)
\(468\) −1328.00 + 10634.9i −0.131169 + 1.05042i
\(469\) −11156.9 + 504.873i −1.09846 + 0.0497076i
\(470\) 534.541 122.005i 0.0524607 0.0119738i
\(471\) −3590.33 + 16704.2i −0.351239 + 1.63416i
\(472\) 20950.5 + 12095.8i 2.04306 + 1.17956i
\(473\) 2425.37 7862.87i 0.235769 0.764345i
\(474\) −12236.2 + 15749.5i −1.18571 + 1.52616i
\(475\) 1232.96 + 983.256i 0.119100 + 0.0949787i
\(476\) 20279.6 39108.3i 1.95276 3.76581i
\(477\) 11814.7 + 12102.5i 1.13409 + 1.16171i
\(478\) −2980.67 + 2765.66i −0.285215 + 0.264641i
\(479\) 543.613 81.9365i 0.0518545 0.00781581i −0.123064 0.992399i \(-0.539272\pi\)
0.174918 + 0.984583i \(0.444034\pi\)
\(480\) 6598.38 + 909.101i 0.627445 + 0.0864471i
\(481\) 757.167 5023.47i 0.0717751 0.476197i
\(482\) −3239.38 + 1560.00i −0.306119 + 0.147419i
\(483\) −6701.76 + 388.508i −0.631347 + 0.0365999i
\(484\) −30340.8 14611.4i −2.84944 1.37222i
\(485\) −1635.43 + 2398.74i −0.153116 + 0.224580i
\(486\) 5746.22 + 19409.9i 0.536325 + 1.81163i
\(487\) −271.595 + 3624.19i −0.0252714 + 0.337223i 0.970210 + 0.242266i \(0.0778905\pi\)
−0.995481 + 0.0949574i \(0.969729\pi\)
\(488\) 1808.01 4606.75i 0.167715 0.427331i
\(489\) −76.8788 + 84.9929i −0.00710957 + 0.00785994i
\(490\) 4629.46 772.021i 0.426812 0.0711763i
\(491\) 10539.5i 0.968723i −0.874868 0.484361i \(-0.839052\pi\)
0.874868 0.484361i \(-0.160948\pi\)
\(492\) −2869.23 5769.63i −0.262916 0.528689i
\(493\) 25455.5 + 1907.63i 2.32548 + 0.174270i
\(494\) 934.480 1007.13i 0.0851098 0.0917266i
\(495\) 3309.21 + 1800.22i 0.300481 + 0.163463i
\(496\) −9408.91 + 19537.8i −0.851759 + 1.76870i
\(497\) 3272.48 + 9122.72i 0.295354 + 0.823360i
\(498\) −17403.1 5127.30i −1.56596 0.461365i
\(499\) 4866.87 + 733.562i 0.436615 + 0.0658091i 0.363672 0.931527i \(-0.381523\pi\)
0.0729429 + 0.997336i \(0.476761\pi\)
\(500\) 10587.7 7218.56i 0.946991 0.645648i
\(501\) −2994.03 + 4513.39i −0.266992 + 0.402482i
\(502\) −332.122 357.942i −0.0295285 0.0318242i
\(503\) −6235.63 7819.23i −0.552749 0.693125i 0.424450 0.905451i \(-0.360468\pi\)
−0.977199 + 0.212326i \(0.931896\pi\)
\(504\) −27644.5 19018.6i −2.44323 1.68087i
\(505\) −2242.47 + 2811.97i −0.197601 + 0.247784i
\(506\) 20255.6 1517.95i 1.77959 0.133362i
\(507\) −8147.89 + 4843.02i −0.713729 + 0.424233i
\(508\) −2914.70 + 5048.40i −0.254565 + 0.440919i
\(509\) 1989.37 + 3445.69i 0.173236 + 0.300054i 0.939549 0.342413i \(-0.111244\pi\)
−0.766313 + 0.642467i \(0.777911\pi\)
\(510\) 4022.86 7176.51i 0.349285 0.623101i
\(511\) −14609.0 10606.4i −1.26470 0.918202i
\(512\) −6854.16 1564.42i −0.591629 0.135035i
\(513\) 615.798 1763.56i 0.0529983 0.151780i
\(514\) −2603.79 + 1021.91i −0.223440 + 0.0876937i
\(515\) −4752.15 + 1865.08i −0.406611 + 0.159583i
\(516\) −6813.78 + 14620.5i −0.581318 + 1.24735i
\(517\) 2128.65 + 485.851i 0.181079 + 0.0413302i
\(518\) 21070.9 + 15297.9i 1.78726 + 1.29759i
\(519\) 3512.83 + 1969.15i 0.297102 + 0.166543i
\(520\) −1658.90 2873.29i −0.139899 0.242312i
\(521\) 8073.64 13983.9i 0.678911 1.17591i −0.296399 0.955064i \(-0.595786\pi\)
0.975309 0.220843i \(-0.0708810\pi\)
\(522\) 6293.48 31202.3i 0.527697 2.61626i
\(523\) 7774.60 582.626i 0.650018 0.0487121i 0.254359 0.967110i \(-0.418135\pi\)
0.395659 + 0.918398i \(0.370516\pi\)
\(524\) 3038.59 3810.27i 0.253323 0.317657i
\(525\) −11298.1 + 1508.19i −0.939217 + 0.125377i
\(526\) −13170.9 16515.8i −1.09179 1.36906i
\(527\) 8791.28 + 9474.75i 0.726669 + 0.783162i
\(528\) 45805.3 + 30385.7i 3.77542 + 2.50448i
\(529\) 6032.33 4112.77i 0.495794 0.338027i
\(530\) −8475.75 1277.51i −0.694648 0.104701i
\(531\) −5079.18 8303.54i −0.415099 0.678612i
\(532\) 1711.60 + 4771.44i 0.139487 + 0.388850i
\(533\) −505.397 + 1049.47i −0.0410716 + 0.0852861i
\(534\) 2320.33 + 9602.85i 0.188034 + 0.778195i
\(535\) −329.254 + 354.851i −0.0266073 + 0.0286758i
\(536\) −40352.5 3024.00i −3.25180 0.243688i
\(537\) −16852.7 + 8380.83i −1.35428 + 0.673482i
\(538\) 28946.9i 2.31969i
\(539\) 17943.7 + 5228.96i 1.43393 + 0.417862i
\(540\) −5944.72 4381.39i −0.473741 0.349157i
\(541\) −4595.83 + 11710.0i −0.365231 + 0.930594i 0.623626 + 0.781723i \(0.285659\pi\)
−0.988857 + 0.148870i \(0.952436\pi\)
\(542\) −3045.36 + 40637.5i −0.241346 + 3.22054i
\(543\) −2085.45 23777.0i −0.164816 1.87913i
\(544\) 32631.1 47861.0i 2.57178 3.77210i
\(545\) 1283.83 + 618.261i 0.100905 + 0.0485934i
\(546\) 574.694 + 9913.46i 0.0450451 + 0.777027i
\(547\) 18186.2 8758.00i 1.42154 0.684580i 0.444140 0.895957i \(-0.353509\pi\)
0.977405 + 0.211377i \(0.0677949\pi\)
\(548\) 2878.14 19095.2i 0.224358 1.48852i
\(549\) −1524.81 + 1280.61i −0.118538 + 0.0995537i
\(550\) 34104.1 5140.37i 2.64401 0.398520i
\(551\) −2153.21 + 1997.88i −0.166479 + 0.154469i
\(552\) −24276.0 1509.83i −1.87184 0.116418i
\(553\) −6123.55 + 11809.0i −0.470886 + 0.908081i
\(554\) −2272.19 1812.01i −0.174253 0.138962i
\(555\) 2764.28 + 2147.64i 0.211418 + 0.164257i
\(556\) 12934.0 41930.8i 0.986550 3.19832i
\(557\) 15037.5 + 8681.92i 1.14391 + 0.660440i 0.947397 0.320061i \(-0.103703\pi\)
0.196518 + 0.980500i \(0.437037\pi\)
\(558\) 13081.8 9413.82i 0.992464 0.714191i
\(559\) 2842.77 648.843i 0.215092 0.0490933i
\(560\) 9196.99 416.182i 0.694007 0.0314051i
\(561\) 26833.1 18797.5i 2.01942 1.41467i
\(562\) 8111.04 2501.92i 0.608796 0.187789i
\(563\) −3800.05 9682.37i −0.284464 0.724802i −0.999665 0.0258832i \(-0.991760\pi\)
0.715201 0.698919i \(-0.246335\pi\)
\(564\) −4003.79 1513.05i −0.298918 0.112962i
\(565\) −1424.22 4617.22i −0.106049 0.343801i
\(566\) −6802.79 + 29805.0i −0.505199 + 2.21342i
\(567\) 6114.07 + 12037.5i 0.452852 + 0.891586i
\(568\) 7814.08 + 34235.7i 0.577239 + 2.52905i
\(569\) 14207.3 8202.59i 1.04675 0.604342i 0.125013 0.992155i \(-0.460103\pi\)
0.921738 + 0.387813i \(0.126770\pi\)
\(570\) 290.490 + 901.005i 0.0213461 + 0.0662087i
\(571\) 9648.13 + 2976.05i 0.707113 + 0.218115i 0.627394 0.778702i \(-0.284122\pi\)
0.0797189 + 0.996817i \(0.474598\pi\)
\(572\) −1616.37 21569.0i −0.118154 1.57665i
\(573\) 920.361 150.686i 0.0671006 0.0109860i
\(574\) −3582.74 4775.80i −0.260524 0.347279i
\(575\) −6459.71 + 5151.44i −0.468502 + 0.373617i
\(576\) −22725.3 20037.5i −1.64390 1.44947i
\(577\) −2783.83 18469.5i −0.200853 1.33258i −0.831075 0.556160i \(-0.812274\pi\)
0.630221 0.776415i \(-0.282964\pi\)
\(578\) −25515.4 37424.2i −1.83616 2.69315i
\(579\) 6731.15 5509.04i 0.483138 0.395419i
\(580\) 5038.43 + 10462.4i 0.360706 + 0.749014i
\(581\) −12034.8 1260.76i −0.859360 0.0900259i
\(582\) 29158.7 11873.0i 2.07675 0.845619i
\(583\) −28202.4 19228.1i −2.00347 1.36594i
\(584\) −47949.8 44491.0i −3.39757 3.15248i
\(585\) 33.8649 + 1334.53i 0.00239340 + 0.0943180i
\(586\) −37589.0 14752.6i −2.64981 1.03997i
\(587\) −4329.34 −0.304414 −0.152207 0.988349i \(-0.548638\pi\)
−0.152207 + 0.988349i \(0.548638\pi\)
\(588\) −33447.1 14955.5i −2.34581 1.04890i
\(589\) −1487.26 −0.104043
\(590\) 4592.00 + 1802.23i 0.320423 + 0.125757i
\(591\) 10115.9 9627.81i 0.704080 0.670110i
\(592\) 37441.7 + 34740.8i 2.59940 + 2.41189i
\(593\) −21038.5 14343.8i −1.45691 0.993302i −0.994286 0.106746i \(-0.965957\pi\)
−0.462621 0.886556i \(-0.653091\pi\)
\(594\) −19112.8 36105.8i −1.32021 2.49401i
\(595\) 1771.77 5193.37i 0.122076 0.357827i
\(596\) −2724.66 5657.81i −0.187259 0.388847i
\(597\) −7121.04 8700.76i −0.488182 0.596479i
\(598\) 4054.79 + 5947.29i 0.277279 + 0.406693i
\(599\) 2869.67 + 19039.0i 0.195746 + 1.29869i 0.843620 + 0.536940i \(0.180420\pi\)
−0.647875 + 0.761747i \(0.724342\pi\)
\(600\) −41295.5 + 523.871i −2.80980 + 0.0356449i
\(601\) 5723.99 4564.73i 0.388497 0.309816i −0.409691 0.912224i \(-0.634364\pi\)
0.798188 + 0.602408i \(0.205792\pi\)
\(602\) −3755.10 + 14465.9i −0.254230 + 0.979376i
\(603\) 13681.1 + 8827.72i 0.923943 + 0.596173i
\(604\) 1209.27 + 16136.6i 0.0814647 + 1.08707i
\(605\) −4008.26 1236.38i −0.269354 0.0830846i
\(606\) 37121.6 11968.2i 2.48838 0.802271i
\(607\) 8750.10 5051.87i 0.585100 0.337807i −0.178058 0.984020i \(-0.556981\pi\)
0.763157 + 0.646213i \(0.223648\pi\)
\(608\) 1483.20 + 6498.32i 0.0989337 + 0.433457i
\(609\) 358.635 21227.2i 0.0238631 1.41243i
\(610\) 224.555 983.839i 0.0149049 0.0653024i
\(611\) 228.058 + 739.345i 0.0151002 + 0.0489537i
\(612\) −57138.5 + 29324.7i −3.77400 + 1.93690i
\(613\) 67.0357 + 170.804i 0.00441688 + 0.0112540i 0.933065 0.359707i \(-0.117123\pi\)
−0.928648 + 0.370961i \(0.879028\pi\)
\(614\) 49126.9 15153.7i 3.22899 0.996012i
\(615\) −460.507 657.366i −0.0301942 0.0431017i
\(616\) 62278.3 + 26593.9i 4.07348 + 1.73945i
\(617\) −9394.18 + 2144.16i −0.612959 + 0.139904i −0.517719 0.855551i \(-0.673219\pi\)
−0.0952394 + 0.995454i \(0.530362\pi\)
\(618\) 54124.6 + 11633.3i 3.52300 + 0.757216i
\(619\) 17595.9 + 10159.0i 1.14255 + 0.659653i 0.947061 0.321052i \(-0.104037\pi\)
0.195491 + 0.980705i \(0.437370\pi\)
\(620\) −1733.08 + 5618.50i −0.112261 + 0.363942i
\(621\) 8290.01 + 5201.38i 0.535695 + 0.336110i
\(622\) −37131.7 29611.5i −2.39364 1.90887i
\(623\) 2682.11 + 6018.59i 0.172482 + 0.387046i
\(624\) −1209.12 + 19441.0i −0.0775701 + 1.24722i
\(625\) −9683.10 + 8984.60i −0.619718 + 0.575015i
\(626\) −2045.31 + 308.280i −0.130586 + 0.0196827i
\(627\) −514.537 + 3734.58i −0.0327729 + 0.237870i
\(628\) −10074.5 + 66839.7i −0.640151 + 4.24712i
\(629\) 27428.2 13208.7i 1.73869 0.837308i
\(630\) −6152.17 2994.69i −0.389061 0.189383i
\(631\) −11238.5 5412.16i −0.709028 0.341450i 0.0443697 0.999015i \(-0.485872\pi\)
−0.753397 + 0.657565i \(0.771586\pi\)
\(632\) −27150.5 + 39822.5i −1.70884 + 2.50641i
\(633\) −1121.81 + 98.3931i −0.0704393 + 0.00617816i
\(634\) 397.230 5300.67i 0.0248833 0.332045i
\(635\) −265.275 + 675.911i −0.0165782 + 0.0422405i
\(636\) 49623.6 + 44886.1i 3.09387 + 2.79851i
\(637\) 1574.60 + 6433.22i 0.0979402 + 0.400146i
\(638\) 64238.9i 3.98627i
\(639\) 3820.89 13603.0i 0.236545 0.842141i
\(640\) 5085.41 + 381.099i 0.314091 + 0.0235379i
\(641\) −20975.7 + 22606.5i −1.29250 + 1.39298i −0.417634 + 0.908615i \(0.637141\pi\)
−0.874865 + 0.484367i \(0.839050\pi\)
\(642\) 5102.61 1232.94i 0.313682 0.0757947i
\(643\) 1213.41 2519.67i 0.0744202 0.154535i −0.860439 0.509553i \(-0.829811\pi\)
0.934860 + 0.355018i \(0.115525\pi\)
\(644\) −26367.0 + 3179.88i −1.61336 + 0.194572i
\(645\) −567.814 + 1927.27i −0.0346631 + 0.117653i
\(646\) 8141.02 + 1227.06i 0.495827 + 0.0747338i
\(647\) 5894.81 4019.02i 0.358190 0.244210i −0.370832 0.928700i \(-0.620927\pi\)
0.729022 + 0.684490i \(0.239975\pi\)
\(648\) 16771.3 + 45953.6i 1.01672 + 2.78585i
\(649\) 13361.5 + 14400.3i 0.808142 + 0.870970i
\(650\) 7620.18 + 9555.41i 0.459828 + 0.576606i
\(651\) 7443.59 7755.30i 0.448137 0.466904i
\(652\) −282.689 + 354.481i −0.0169800 + 0.0212923i
\(653\) −10378.4 + 777.755i −0.621958 + 0.0466093i −0.381982 0.924170i \(-0.624759\pi\)
−0.239976 + 0.970779i \(0.577139\pi\)
\(654\) −7895.42 13283.2i −0.472072 0.794213i
\(655\) 303.520 525.712i 0.0181061 0.0313607i
\(656\) −5855.56 10142.1i −0.348508 0.603633i
\(657\) 8393.20 + 24945.0i 0.498401 + 1.48127i
\(658\) −3902.20 706.771i −0.231191 0.0418735i
\(659\) 4091.23 + 933.797i 0.241839 + 0.0551981i 0.341722 0.939801i \(-0.388990\pi\)
−0.0998834 + 0.994999i \(0.531847\pi\)
\(660\) 13508.8 + 6295.65i 0.796709 + 0.371300i
\(661\) −10725.7 + 4209.53i −0.631137 + 0.247703i −0.659276 0.751901i \(-0.729137\pi\)
0.0281389 + 0.999604i \(0.491042\pi\)
\(662\) 11234.4 4409.16i 0.659571 0.258863i
\(663\) 10523.1 + 4904.20i 0.616415 + 0.287275i
\(664\) −42744.4 9756.14i −2.49820 0.570198i
\(665\) 299.394 + 555.912i 0.0174586 + 0.0324171i
\(666\) −12105.7 35978.7i −0.704335 2.09331i
\(667\) −7694.55 13327.3i −0.446678 0.773669i
\(668\) −10713.7 + 18556.8i −0.620550 + 1.07482i
\(669\) 5916.41 + 9953.75i 0.341915 + 0.575238i
\(670\) −8228.46 + 616.638i −0.474468 + 0.0355564i
\(671\) 2505.56 3141.87i 0.144152 0.180761i
\(672\) −41308.9 24789.4i −2.37132 1.42302i
\(673\) 14278.4 + 17904.5i 0.817817 + 1.02551i 0.999114 + 0.0420816i \(0.0133989\pi\)
−0.181297 + 0.983428i \(0.558030\pi\)
\(674\) −12211.3 13160.6i −0.697866 0.752120i
\(675\) 14696.6 + 7755.04i 0.838032 + 0.442210i
\(676\) −30983.2 + 21124.0i −1.76281 + 1.20187i
\(677\) −23766.2 3582.18i −1.34920 0.203360i −0.565630 0.824659i \(-0.691367\pi\)
−0.783573 + 0.621300i \(0.786605\pi\)
\(678\) −14808.3 + 50262.5i −0.838807 + 2.84708i
\(679\) 17692.0 11310.6i 0.999938 0.639265i
\(680\) 8626.37 17912.8i 0.486480 1.01019i
\(681\) −11426.3 + 2760.94i −0.642964 + 0.155359i
\(682\) −22123.4 + 23843.4i −1.24215 + 1.33872i
\(683\) −6071.57 455.001i −0.340149 0.0254907i −0.0964395 0.995339i \(-0.530745\pi\)
−0.243710 + 0.969848i \(0.578364\pi\)
\(684\) 1998.43 7114.77i 0.111713 0.397720i
\(685\) 2405.35i 0.134166i
\(686\) −32987.1 8014.34i −1.83594 0.446048i
\(687\) −3787.30 3425.73i −0.210327 0.190247i
\(688\) −10710.4 + 27289.7i −0.593503 + 1.51222i
\(689\) 903.914 12061.9i 0.0499802 0.666940i
\(690\) −4940.82 + 433.354i −0.272600 + 0.0239094i
\(691\) −18411.6 + 27004.9i −1.01362 + 1.48671i −0.146121 + 0.989267i \(0.546679\pi\)
−0.867498 + 0.497440i \(0.834273\pi\)
\(692\) 14354.3 + 6912.65i 0.788536 + 0.379739i
\(693\) −16898.8 21374.3i −0.926308 1.17163i
\(694\) 52697.0 25377.6i 2.88235 1.38807i
\(695\) 814.619 5404.64i 0.0444608 0.294978i
\(696\) 10498.9 76202.3i 0.571780 4.15006i
\(697\) −6902.19 + 1040.34i −0.375092 + 0.0565360i
\(698\) 33764.4 31328.8i 1.83095 1.69887i
\(699\) −200.064 + 3216.75i −0.0108257 + 0.174061i
\(700\) −44241.0 + 8729.79i −2.38879 + 0.471364i
\(701\) 18221.2 + 14530.9i 0.981745 + 0.782916i 0.976156 0.217069i \(-0.0696495\pi\)
0.00558897 + 0.999984i \(0.498221\pi\)
\(702\) 7694.04 12262.8i 0.413665 0.659304i
\(703\) −1032.53 + 3347.37i −0.0553948 + 0.179585i
\(704\) 52953.0 + 30572.4i 2.83486 + 1.63671i
\(705\) −521.227 112.030i −0.0278447 0.00598481i
\(706\) 10383.0 2369.85i 0.553497 0.126332i
\(707\) 22903.7 12335.1i 1.21836 0.656164i
\(708\) −22094.7 31539.8i −1.17284 1.67421i
\(709\) 3243.84 1000.59i 0.171827 0.0530015i −0.207648 0.978204i \(-0.566581\pi\)
0.379475 + 0.925202i \(0.376105\pi\)
\(710\) 2616.10 + 6665.70i 0.138282 + 0.352337i
\(711\) 17253.3 8854.77i 0.910055 0.467060i
\(712\) 7037.03 + 22813.5i 0.370399 + 1.20080i
\(713\) 1733.88 7596.62i 0.0910719 0.399012i
\(714\) −47143.6 + 36310.1i −2.47102 + 1.90318i
\(715\) −599.504 2626.60i −0.0313569 0.137383i
\(716\) −64486.1 + 37231.1i −3.36586 + 1.94328i
\(717\) 3762.97 1213.21i 0.195998 0.0631911i
\(718\) 14229.8 + 4389.32i 0.739627 + 0.228145i
\(719\) 1049.68 + 14007.1i 0.0544459 + 0.726530i 0.955907 + 0.293670i \(0.0948766\pi\)
−0.901461 + 0.432860i \(0.857504\pi\)
\(720\) −11277.7 7276.95i −0.583745 0.376661i
\(721\) 36908.0 + 1092.01i 1.90641 + 0.0564058i
\(722\) 27916.3 22262.5i 1.43897 1.14754i
\(723\) 3495.76 44.3469i 0.179818 0.00228116i
\(724\) −14073.7 93373.1i −0.722439 4.79307i
\(725\) −14719.4 21589.4i −0.754022 1.10595i
\(726\) 28810.0 + 35201.2i 1.47278 + 1.79950i
\(727\) 8706.69 + 18079.6i 0.444172 + 0.922333i 0.996082 + 0.0884295i \(0.0281848\pi\)
−0.551910 + 0.833903i \(0.686101\pi\)
\(728\) 2873.25 + 23824.5i 0.146277 + 1.21291i
\(729\) 2908.07 19467.0i 0.147745 0.989025i
\(730\) −11020.6 7513.73i −0.558756 0.380953i
\(731\) 12808.8 + 11884.8i 0.648087 + 0.601336i
\(732\) −5706.36 + 5431.04i −0.288133 + 0.274231i
\(733\) −23444.7 9201.35i −1.18138 0.463656i −0.308323 0.951282i \(-0.599768\pi\)
−0.873053 + 0.487626i \(0.837863\pi\)
\(734\) −19045.2 −0.957726
\(735\) −4397.25 1221.10i −0.220673 0.0612803i
\(736\) −34921.4 −1.74894
\(737\) −30587.9 12004.9i −1.52879 0.600006i
\(738\) 220.797 + 8701.06i 0.0110131 + 0.433998i
\(739\) −28138.0 26108.2i −1.40064 1.29960i −0.901301 0.433194i \(-0.857386\pi\)
−0.499337 0.866408i \(-0.666423\pi\)
\(740\) 11442.4 + 7801.29i 0.568420 + 0.387542i
\(741\) −1237.27 + 503.797i −0.0613390 + 0.0249763i
\(742\) 52750.3 + 32572.6i 2.60987 + 1.61156i
\(743\) −11636.0 24162.4i −0.574541 1.19305i −0.962478 0.271360i \(-0.912527\pi\)
0.387937 0.921686i \(-0.373188\pi\)
\(744\) 30140.3 24668.0i 1.48521 1.21556i
\(745\) −440.625 646.278i −0.0216688 0.0317823i
\(746\) 1118.82 + 7422.90i 0.0549102 + 0.364305i
\(747\) 13232.1 + 11667.1i 0.648108 + 0.571455i
\(748\) 101336. 80812.9i 4.95350 3.95029i
\(749\) 3198.06 1425.18i 0.156014 0.0695257i
\(750\) −17081.6 + 2796.68i −0.831643 + 0.136161i
\(751\) −745.619 9949.59i −0.0362291 0.483443i −0.985578 0.169220i \(-0.945875\pi\)
0.949349 0.314223i \(-0.101744\pi\)
\(752\) −7433.37 2292.89i −0.360462 0.111188i
\(753\) 145.691 + 451.886i 0.00705084 + 0.0218694i
\(754\) −19714.2 + 11382.0i −0.952189 + 0.549747i
\(755\) 448.513 + 1965.06i 0.0216200 + 0.0947232i
\(756\) 27098.1 + 46029.7i 1.30363 + 2.21440i
\(757\) −2728.77 + 11955.5i −0.131016 + 0.574017i 0.866217 + 0.499668i \(0.166545\pi\)
−0.997232 + 0.0743484i \(0.976312\pi\)
\(758\) 6671.94 + 21629.9i 0.319704 + 1.03646i
\(759\) −18475.7 6982.02i −0.883562 0.333901i
\(760\) 835.806 + 2129.60i 0.0398919 + 0.101643i
\(761\) −24348.4 + 7510.47i −1.15983 + 0.357759i −0.814183 0.580608i \(-0.802815\pi\)
−0.345642 + 0.938367i \(0.612339\pi\)
\(762\) 6449.10 4517.81i 0.306596 0.214781i
\(763\) −6783.66 7759.18i −0.321868 0.368154i
\(764\) 3597.11 821.017i 0.170339 0.0388788i
\(765\) −6493.22 + 4672.61i −0.306879 + 0.220835i
\(766\) −35383.1 20428.4i −1.66898 0.963589i
\(767\) −2051.86 + 6651.97i −0.0965951 + 0.313154i
\(768\) −6835.76 5310.89i −0.321177 0.249532i
\(769\) 6431.62 + 5129.05i 0.301600 + 0.240518i 0.762582 0.646892i \(-0.223931\pi\)
−0.460982 + 0.887409i \(0.652503\pi\)
\(770\) 13365.8 + 3469.56i 0.625548 + 0.162382i
\(771\) 2714.57 + 168.832i 0.126800 + 0.00788629i
\(772\) 25225.6 23405.9i