Properties

Label 105.4.s.a.101.2
Level $105$
Weight $4$
Character 105.101
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.2
Character \(\chi\) \(=\) 105.101
Dual form 105.4.s.a.26.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.56345 + 2.63471i) q^{2} +(-4.97118 + 1.51242i) q^{3} +(9.88336 - 17.1185i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(18.7009 - 19.9994i) q^{6} +(12.9395 + 13.2503i) q^{7} +62.0037i q^{8} +(22.4252 - 15.0370i) q^{9} +O(q^{10})\) \(q+(-4.56345 + 2.63471i) q^{2} +(-4.97118 + 1.51242i) q^{3} +(9.88336 - 17.1185i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(18.7009 - 19.9994i) q^{6} +(12.9395 + 13.2503i) q^{7} +62.0037i q^{8} +(22.4252 - 15.0370i) q^{9} +(22.8172 + 13.1735i) q^{10} +(4.67930 + 2.70159i) q^{11} +(-23.2416 + 100.047i) q^{12} +11.1476i q^{13} +(-93.9592 - 26.3752i) q^{14} +(18.9769 + 17.7448i) q^{15} +(-84.2948 - 146.003i) q^{16} +(49.0554 - 84.9664i) q^{17} +(-62.7181 + 127.704i) q^{18} +(-38.3523 + 22.1427i) q^{19} -98.8336 q^{20} +(-84.3644 - 46.2996i) q^{21} -28.4716 q^{22} +(-161.199 + 93.0682i) q^{23} +(-93.7755 - 308.232i) q^{24} +(-12.5000 + 21.6506i) q^{25} +(-29.3705 - 50.8713i) q^{26} +(-88.7374 + 108.668i) q^{27} +(354.710 - 90.5469i) q^{28} +210.853i q^{29} +(-133.352 - 30.9788i) q^{30} +(143.496 + 82.8476i) q^{31} +(339.775 + 196.169i) q^{32} +(-27.3476 - 6.35305i) q^{33} +516.986i q^{34} +(25.0267 - 89.1553i) q^{35} +(-35.7741 - 532.501i) q^{36} +(37.5633 + 65.0615i) q^{37} +(116.679 - 202.094i) q^{38} +(-16.8598 - 55.4165i) q^{39} +(268.484 - 155.009i) q^{40} -149.096 q^{41} +(506.978 - 10.9897i) q^{42} -415.711 q^{43} +(92.4944 - 53.4017i) q^{44} +(-121.175 - 59.5115i) q^{45} +(490.415 - 849.424i) q^{46} +(276.394 + 478.728i) q^{47} +(639.861 + 598.317i) q^{48} +(-8.13985 + 342.903i) q^{49} -131.735i q^{50} +(-115.358 + 496.575i) q^{51} +(190.829 + 110.175i) q^{52} +(116.966 + 67.5305i) q^{53} +(118.641 - 729.696i) q^{54} -27.0159i q^{55} +(-821.567 + 802.296i) q^{56} +(157.167 - 168.080i) q^{57} +(-555.537 - 962.218i) q^{58} +(284.964 - 493.573i) q^{59} +(491.319 - 149.478i) q^{60} +(-403.866 + 233.172i) q^{61} -873.116 q^{62} +(489.414 + 102.569i) q^{63} -718.677 q^{64} +(48.2703 - 27.8689i) q^{65} +(141.538 - 43.0610i) q^{66} +(-379.212 + 656.814i) q^{67} +(-969.664 - 1679.51i) q^{68} +(660.590 - 706.458i) q^{69} +(120.690 + 472.793i) q^{70} +113.113i q^{71} +(932.349 + 1390.45i) q^{72} +(-590.839 - 341.121i) q^{73} +(-342.836 - 197.936i) q^{74} +(29.3949 - 126.534i) q^{75} +875.377i q^{76} +(24.7508 + 96.9592i) q^{77} +(222.945 + 208.470i) q^{78} +(649.347 + 1124.70i) q^{79} +(-421.474 + 730.014i) q^{80} +(276.778 - 674.414i) q^{81} +(680.391 - 392.824i) q^{82} -143.614 q^{83} +(-1626.38 + 986.595i) q^{84} -490.554 q^{85} +(1897.07 - 1095.28i) q^{86} +(-318.898 - 1048.19i) q^{87} +(-167.509 + 290.134i) q^{88} +(103.214 + 178.771i) q^{89} +(709.771 - 47.6834i) q^{90} +(-147.708 + 144.244i) q^{91} +3679.31i q^{92} +(-838.645 - 194.824i) q^{93} +(-2522.61 - 1456.43i) q^{94} +(191.761 + 110.714i) q^{95} +(-1985.77 - 461.310i) q^{96} -1044.15i q^{97} +(-866.304 - 1586.27i) q^{98} +(145.558 - 9.77878i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.56345 + 2.63471i −1.61342 + 0.931510i −0.624853 + 0.780743i \(0.714841\pi\)
−0.988569 + 0.150767i \(0.951826\pi\)
\(3\) −4.97118 + 1.51242i −0.956703 + 0.291065i
\(4\) 9.88336 17.1185i 1.23542 2.13981i
\(5\) −2.50000 4.33013i −0.223607 0.387298i
\(6\) 18.7009 19.9994i 1.27244 1.36079i
\(7\) 12.9395 + 13.2503i 0.698666 + 0.715448i
\(8\) 62.0037i 2.74020i
\(9\) 22.4252 15.0370i 0.830563 0.556925i
\(10\) 22.8172 + 13.1735i 0.721544 + 0.416584i
\(11\) 4.67930 + 2.70159i 0.128260 + 0.0740510i 0.562757 0.826622i \(-0.309741\pi\)
−0.434497 + 0.900673i \(0.643074\pi\)
\(12\) −23.2416 + 100.047i −0.559107 + 2.40675i
\(13\) 11.1476i 0.237829i 0.992905 + 0.118914i \(0.0379414\pi\)
−0.992905 + 0.118914i \(0.962059\pi\)
\(14\) −93.9592 26.3752i −1.79369 0.503505i
\(15\) 18.9769 + 17.7448i 0.326654 + 0.305446i
\(16\) −84.2948 146.003i −1.31711 2.28129i
\(17\) 49.0554 84.9664i 0.699864 1.21220i −0.268650 0.963238i \(-0.586577\pi\)
0.968513 0.248961i \(-0.0800892\pi\)
\(18\) −62.7181 + 127.704i −0.821267 + 1.67223i
\(19\) −38.3523 + 22.1427i −0.463085 + 0.267362i −0.713341 0.700818i \(-0.752819\pi\)
0.250255 + 0.968180i \(0.419485\pi\)
\(20\) −98.8336 −1.10499
\(21\) −84.3644 46.2996i −0.876658 0.481114i
\(22\) −28.4716 −0.275917
\(23\) −161.199 + 93.0682i −1.46140 + 0.843742i −0.999076 0.0429674i \(-0.986319\pi\)
−0.462327 + 0.886709i \(0.652986\pi\)
\(24\) −93.7755 308.232i −0.797577 2.62156i
\(25\) −12.5000 + 21.6506i −0.100000 + 0.173205i
\(26\) −29.3705 50.8713i −0.221540 0.383718i
\(27\) −88.7374 + 108.668i −0.632501 + 0.774560i
\(28\) 354.710 90.5469i 2.39407 0.611134i
\(29\) 210.853i 1.35015i 0.737747 + 0.675077i \(0.235890\pi\)
−0.737747 + 0.675077i \(0.764110\pi\)
\(30\) −133.352 30.9788i −0.811557 0.188531i
\(31\) 143.496 + 82.8476i 0.831377 + 0.479996i 0.854324 0.519741i \(-0.173972\pi\)
−0.0229470 + 0.999737i \(0.507305\pi\)
\(32\) 339.775 + 196.169i 1.87701 + 1.08369i
\(33\) −27.3476 6.35305i −0.144261 0.0335128i
\(34\) 516.986i 2.60772i
\(35\) 25.0267 89.1553i 0.120865 0.430571i
\(36\) −35.7741 532.501i −0.165621 2.46528i
\(37\) 37.5633 + 65.0615i 0.166902 + 0.289082i 0.937329 0.348446i \(-0.113290\pi\)
−0.770427 + 0.637528i \(0.779957\pi\)
\(38\) 116.679 202.094i 0.498101 0.862736i
\(39\) −16.8598 55.4165i −0.0692236 0.227532i
\(40\) 268.484 155.009i 1.06128 0.612728i
\(41\) −149.096 −0.567924 −0.283962 0.958836i \(-0.591649\pi\)
−0.283962 + 0.958836i \(0.591649\pi\)
\(42\) 506.978 10.9897i 1.86258 0.0403750i
\(43\) −415.711 −1.47431 −0.737155 0.675724i \(-0.763831\pi\)
−0.737155 + 0.675724i \(0.763831\pi\)
\(44\) 92.4944 53.4017i 0.316910 0.182968i
\(45\) −121.175 59.5115i −0.401416 0.197143i
\(46\) 490.415 849.424i 1.57191 2.72262i
\(47\) 276.394 + 478.728i 0.857790 + 1.48574i 0.874032 + 0.485868i \(0.161496\pi\)
−0.0162420 + 0.999868i \(0.505170\pi\)
\(48\) 639.861 + 598.317i 1.92408 + 1.79916i
\(49\) −8.13985 + 342.903i −0.0237313 + 0.999718i
\(50\) 131.735i 0.372604i
\(51\) −115.358 + 496.575i −0.316733 + 1.36342i
\(52\) 190.829 + 110.175i 0.508909 + 0.293819i
\(53\) 116.966 + 67.5305i 0.303142 + 0.175019i 0.643854 0.765149i \(-0.277335\pi\)
−0.340711 + 0.940168i \(0.610668\pi\)
\(54\) 118.641 729.696i 0.298980 1.83887i
\(55\) 27.0159i 0.0662332i
\(56\) −821.567 + 802.296i −1.96047 + 1.91449i
\(57\) 157.167 168.080i 0.365215 0.390574i
\(58\) −555.537 962.218i −1.25768 2.17837i
\(59\) 284.964 493.573i 0.628800 1.08911i −0.358993 0.933340i \(-0.616880\pi\)
0.987793 0.155773i \(-0.0497868\pi\)
\(60\) 491.319 149.478i 1.05715 0.321625i
\(61\) −403.866 + 233.172i −0.847700 + 0.489420i −0.859874 0.510506i \(-0.829458\pi\)
0.0121743 + 0.999926i \(0.496125\pi\)
\(62\) −873.116 −1.78848
\(63\) 489.414 + 102.569i 0.978737 + 0.205119i
\(64\) −718.677 −1.40367
\(65\) 48.2703 27.8689i 0.0921107 0.0531802i
\(66\) 141.538 43.0610i 0.263971 0.0803097i
\(67\) −379.212 + 656.814i −0.691464 + 1.19765i 0.279894 + 0.960031i \(0.409701\pi\)
−0.971358 + 0.237620i \(0.923633\pi\)
\(68\) −969.664 1679.51i −1.72925 2.99515i
\(69\) 660.590 706.458i 1.15255 1.23257i
\(70\) 120.690 + 472.793i 0.206075 + 0.807280i
\(71\) 113.113i 0.189072i 0.995521 + 0.0945359i \(0.0301367\pi\)
−0.995521 + 0.0945359i \(0.969863\pi\)
\(72\) 932.349 + 1390.45i 1.52609 + 2.27591i
\(73\) −590.839 341.121i −0.947295 0.546921i −0.0550552 0.998483i \(-0.517533\pi\)
−0.892240 + 0.451562i \(0.850867\pi\)
\(74\) −342.836 197.936i −0.538566 0.310941i
\(75\) 29.3949 126.534i 0.0452564 0.194812i
\(76\) 875.377i 1.32122i
\(77\) 24.7508 + 96.9592i 0.0366314 + 0.143500i
\(78\) 222.945 + 208.470i 0.323635 + 0.302622i
\(79\) 649.347 + 1124.70i 0.924776 + 1.60176i 0.791921 + 0.610623i \(0.209081\pi\)
0.132855 + 0.991135i \(0.457586\pi\)
\(80\) −421.474 + 730.014i −0.589028 + 1.02023i
\(81\) 276.778 674.414i 0.379668 0.925123i
\(82\) 680.391 392.824i 0.916300 0.529026i
\(83\) −143.614 −0.189924 −0.0949620 0.995481i \(-0.530273\pi\)
−0.0949620 + 0.995481i \(0.530273\pi\)
\(84\) −1626.38 + 986.595i −2.11253 + 1.28150i
\(85\) −490.554 −0.625977
\(86\) 1897.07 1095.28i 2.37868 1.37333i
\(87\) −318.898 1048.19i −0.392982 1.29170i
\(88\) −167.509 + 290.134i −0.202915 + 0.351459i
\(89\) 103.214 + 178.771i 0.122928 + 0.212918i 0.920921 0.389749i \(-0.127438\pi\)
−0.797993 + 0.602667i \(0.794105\pi\)
\(90\) 709.771 47.6834i 0.831294 0.0558474i
\(91\) −147.708 + 144.244i −0.170154 + 0.166163i
\(92\) 3679.31i 4.16950i
\(93\) −838.645 194.824i −0.935091 0.217229i
\(94\) −2522.61 1456.43i −2.76795 1.59808i
\(95\) 191.761 + 110.714i 0.207098 + 0.119568i
\(96\) −1985.77 461.310i −2.11117 0.490440i
\(97\) 1044.15i 1.09296i −0.837472 0.546480i \(-0.815967\pi\)
0.837472 0.546480i \(-0.184033\pi\)
\(98\) −866.304 1586.27i −0.892959 1.63507i
\(99\) 145.558 9.77878i 0.147769 0.00992732i
\(100\) 247.084 + 427.962i 0.247084 + 0.427962i
\(101\) −305.238 + 528.688i −0.300716 + 0.520856i −0.976298 0.216429i \(-0.930559\pi\)
0.675582 + 0.737285i \(0.263892\pi\)
\(102\) −781.899 2570.03i −0.759015 2.49481i
\(103\) 984.662 568.495i 0.941957 0.543839i 0.0513839 0.998679i \(-0.483637\pi\)
0.890573 + 0.454840i \(0.150303\pi\)
\(104\) −691.190 −0.651700
\(105\) 10.4278 + 481.057i 0.00969192 + 0.447109i
\(106\) −711.692 −0.652129
\(107\) 311.996 180.131i 0.281886 0.162747i −0.352391 0.935853i \(-0.614631\pi\)
0.634277 + 0.773106i \(0.281298\pi\)
\(108\) 983.204 + 2593.05i 0.876007 + 2.31034i
\(109\) −134.943 + 233.729i −0.118580 + 0.205387i −0.919205 0.393779i \(-0.871168\pi\)
0.800625 + 0.599166i \(0.204501\pi\)
\(110\) 71.1791 + 123.286i 0.0616969 + 0.106862i
\(111\) −285.134 266.621i −0.243817 0.227987i
\(112\) 843.848 3006.13i 0.711930 2.53618i
\(113\) 1022.67i 0.851371i 0.904871 + 0.425686i \(0.139967\pi\)
−0.904871 + 0.425686i \(0.860033\pi\)
\(114\) −274.382 + 1181.11i −0.225423 + 0.970363i
\(115\) 805.994 + 465.341i 0.653560 + 0.377333i
\(116\) 3609.49 + 2083.94i 2.88907 + 1.66801i
\(117\) 167.626 + 249.986i 0.132453 + 0.197532i
\(118\) 3003.19i 2.34293i
\(119\) 1760.58 449.424i 1.35624 0.346207i
\(120\) −1100.24 + 1176.64i −0.836983 + 0.895099i
\(121\) −650.903 1127.40i −0.489033 0.847030i
\(122\) 1228.68 2128.13i 0.911798 1.57928i
\(123\) 741.182 225.495i 0.543334 0.165303i
\(124\) 2836.45 1637.63i 2.05420 1.18599i
\(125\) 125.000 0.0894427
\(126\) −2503.66 + 821.394i −1.77019 + 0.580759i
\(127\) 75.8307 0.0529834 0.0264917 0.999649i \(-0.491566\pi\)
0.0264917 + 0.999649i \(0.491566\pi\)
\(128\) 561.442 324.149i 0.387695 0.223836i
\(129\) 2066.57 628.728i 1.41048 0.429120i
\(130\) −146.853 + 254.356i −0.0990757 + 0.171604i
\(131\) 581.287 + 1006.82i 0.387689 + 0.671498i 0.992138 0.125146i \(-0.0399400\pi\)
−0.604449 + 0.796644i \(0.706607\pi\)
\(132\) −379.040 + 405.359i −0.249934 + 0.267288i
\(133\) −789.655 221.664i −0.514826 0.144516i
\(134\) 3996.45i 2.57642i
\(135\) 692.389 + 112.575i 0.441417 + 0.0717696i
\(136\) 5268.24 + 3041.62i 3.32167 + 1.91777i
\(137\) −468.389 270.425i −0.292096 0.168642i 0.346791 0.937943i \(-0.387271\pi\)
−0.638887 + 0.769301i \(0.720605\pi\)
\(138\) −1153.26 + 4964.35i −0.711389 + 3.06227i
\(139\) 964.096i 0.588299i 0.955759 + 0.294149i \(0.0950364\pi\)
−0.955759 + 0.294149i \(0.904964\pi\)
\(140\) −1278.86 1309.57i −0.772021 0.790565i
\(141\) −2098.04 1961.82i −1.25310 1.17174i
\(142\) −298.021 516.187i −0.176122 0.305053i
\(143\) −30.1162 + 52.1627i −0.0176115 + 0.0305040i
\(144\) −4085.77 2006.60i −2.36445 1.16123i
\(145\) 913.022 527.133i 0.522913 0.301904i
\(146\) 3595.02 2.03785
\(147\) −478.148 1716.94i −0.268279 0.963341i
\(148\) 1485.01 0.824775
\(149\) −1773.64 + 1024.01i −0.975184 + 0.563023i −0.900813 0.434208i \(-0.857028\pi\)
−0.0743716 + 0.997231i \(0.523695\pi\)
\(150\) 199.239 + 654.880i 0.108452 + 0.356471i
\(151\) −714.656 + 1237.82i −0.385151 + 0.667102i −0.991790 0.127876i \(-0.959184\pi\)
0.606639 + 0.794978i \(0.292517\pi\)
\(152\) −1372.93 2377.98i −0.732627 1.26895i
\(153\) −177.563 2643.03i −0.0938240 1.39658i
\(154\) −368.408 377.257i −0.192774 0.197404i
\(155\) 828.476i 0.429321i
\(156\) −1115.28 259.088i −0.572395 0.132972i
\(157\) −512.548 295.920i −0.260546 0.150427i 0.364037 0.931384i \(-0.381398\pi\)
−0.624584 + 0.780958i \(0.714731\pi\)
\(158\) −5926.52 3421.68i −2.98411 1.72288i
\(159\) −683.594 158.804i −0.340959 0.0792075i
\(160\) 1961.69i 0.969283i
\(161\) −3319.01 931.676i −1.62469 0.456064i
\(162\) 513.822 + 3806.88i 0.249196 + 1.84628i
\(163\) 855.184 + 1481.22i 0.410940 + 0.711769i 0.994993 0.0999469i \(-0.0318673\pi\)
−0.584053 + 0.811716i \(0.698534\pi\)
\(164\) −1473.57 + 2552.30i −0.701624 + 1.21525i
\(165\) 40.8594 + 134.301i 0.0192782 + 0.0633656i
\(166\) 655.375 378.381i 0.306428 0.176916i
\(167\) 1174.71 0.544321 0.272161 0.962252i \(-0.412262\pi\)
0.272161 + 0.962252i \(0.412262\pi\)
\(168\) 2870.75 5230.91i 1.31835 2.40222i
\(169\) 2072.73 0.943437
\(170\) 2238.62 1292.47i 1.00997 0.583104i
\(171\) −527.098 + 1073.26i −0.235720 + 0.479965i
\(172\) −4108.62 + 7116.34i −1.82139 + 3.15474i
\(173\) 48.7109 + 84.3698i 0.0214071 + 0.0370781i 0.876530 0.481346i \(-0.159852\pi\)
−0.855123 + 0.518424i \(0.826519\pi\)
\(174\) 4216.95 + 3943.15i 1.83727 + 1.71799i
\(175\) −448.620 + 114.519i −0.193786 + 0.0494677i
\(176\) 910.921i 0.390132i
\(177\) −670.120 + 2884.62i −0.284572 + 1.22498i
\(178\) −942.019 543.875i −0.396670 0.229018i
\(179\) 414.659 + 239.403i 0.173146 + 0.0999656i 0.584068 0.811705i \(-0.301460\pi\)
−0.410923 + 0.911670i \(0.634793\pi\)
\(180\) −2216.36 + 1486.16i −0.917766 + 0.615399i
\(181\) 1065.15i 0.437415i 0.975790 + 0.218707i \(0.0701840\pi\)
−0.975790 + 0.218707i \(0.929816\pi\)
\(182\) 294.019 1047.42i 0.119748 0.426591i
\(183\) 1655.03 1769.95i 0.668544 0.714965i
\(184\) −5770.58 9994.93i −2.31203 4.00454i
\(185\) 187.816 325.308i 0.0746407 0.129282i
\(186\) 4340.42 1320.52i 1.71105 0.520564i
\(187\) 459.090 265.056i 0.179529 0.103651i
\(188\) 10926.8 4.23893
\(189\) −2588.09 + 230.309i −0.996064 + 0.0886375i
\(190\) −1166.79 −0.445515
\(191\) −3166.69 + 1828.29i −1.19965 + 0.692619i −0.960477 0.278358i \(-0.910210\pi\)
−0.239174 + 0.970977i \(0.576876\pi\)
\(192\) 3572.67 1086.94i 1.34289 0.408558i
\(193\) 363.262 629.189i 0.135483 0.234663i −0.790299 0.612721i \(-0.790075\pi\)
0.925782 + 0.378058i \(0.123408\pi\)
\(194\) 2751.02 + 4764.91i 1.01810 + 1.76341i
\(195\) −197.811 + 211.546i −0.0726438 + 0.0776878i
\(196\) 5789.54 + 3528.38i 2.10989 + 1.28585i
\(197\) 728.422i 0.263441i 0.991287 + 0.131721i \(0.0420501\pi\)
−0.991287 + 0.131721i \(0.957950\pi\)
\(198\) −638.482 + 428.128i −0.229166 + 0.153665i
\(199\) 239.450 + 138.247i 0.0852974 + 0.0492465i 0.542042 0.840351i \(-0.317651\pi\)
−0.456745 + 0.889598i \(0.650985\pi\)
\(200\) −1342.42 775.047i −0.474617 0.274020i
\(201\) 891.752 3838.66i 0.312932 1.34706i
\(202\) 3216.85i 1.12048i
\(203\) −2793.87 + 2728.33i −0.965965 + 0.943307i
\(204\) 7360.49 + 6882.59i 2.52616 + 2.36215i
\(205\) 372.740 + 645.604i 0.126992 + 0.219956i
\(206\) −2995.63 + 5188.59i −1.01318 + 1.75488i
\(207\) −2215.45 + 4511.02i −0.743886 + 1.51467i
\(208\) 1627.57 939.681i 0.542558 0.313246i
\(209\) −239.282 −0.0791938
\(210\) −1315.03 2167.81i −0.432123 0.712347i
\(211\) −2684.64 −0.875917 −0.437959 0.898995i \(-0.644298\pi\)
−0.437959 + 0.898995i \(0.644298\pi\)
\(212\) 2312.04 1334.86i 0.749016 0.432445i
\(213\) −171.075 562.307i −0.0550321 0.180886i
\(214\) −949.184 + 1644.03i −0.303200 + 0.525158i
\(215\) 1039.28 + 1800.08i 0.329666 + 0.570998i
\(216\) −6737.81 5502.05i −2.12245 1.73318i
\(217\) 759.012 + 2973.37i 0.237443 + 0.930164i
\(218\) 1422.14i 0.441834i
\(219\) 3453.08 + 802.178i 1.06547 + 0.247517i
\(220\) −462.472 267.008i −0.141727 0.0818259i
\(221\) 947.168 + 546.848i 0.288296 + 0.166448i
\(222\) 2003.66 + 465.466i 0.605752 + 0.140721i
\(223\) 4590.36i 1.37845i −0.724550 0.689223i \(-0.757952\pi\)
0.724550 0.689223i \(-0.242048\pi\)
\(224\) 1797.21 + 7040.44i 0.536078 + 2.10004i
\(225\) 45.2454 + 673.482i 0.0134060 + 0.199550i
\(226\) −2694.44 4666.91i −0.793060 1.37362i
\(227\) 1269.31 2198.52i 0.371134 0.642822i −0.618607 0.785701i \(-0.712302\pi\)
0.989740 + 0.142878i \(0.0456358\pi\)
\(228\) −1323.94 4351.65i −0.384560 1.26401i
\(229\) 1878.77 1084.71i 0.542151 0.313011i −0.203799 0.979013i \(-0.565329\pi\)
0.745950 + 0.666002i \(0.231996\pi\)
\(230\) −4904.15 −1.40596
\(231\) −269.683 444.568i −0.0768133 0.126625i
\(232\) −13073.7 −3.69970
\(233\) −41.1861 + 23.7788i −0.0115802 + 0.00668584i −0.505779 0.862663i \(-0.668795\pi\)
0.494199 + 0.869349i \(0.335462\pi\)
\(234\) −1423.59 699.153i −0.397705 0.195321i
\(235\) 1381.97 2393.64i 0.383615 0.664441i
\(236\) −5632.81 9756.31i −1.55366 2.69103i
\(237\) −4929.04 4609.01i −1.35095 1.26324i
\(238\) −6850.21 + 6689.53i −1.86569 + 1.82192i
\(239\) 5902.02i 1.59736i −0.601754 0.798682i \(-0.705531\pi\)
0.601754 0.798682i \(-0.294469\pi\)
\(240\) 991.135 4266.47i 0.266573 1.14750i
\(241\) 110.889 + 64.0217i 0.0296389 + 0.0171120i 0.514746 0.857343i \(-0.327886\pi\)
−0.485107 + 0.874455i \(0.661219\pi\)
\(242\) 5940.72 + 3429.88i 1.57803 + 0.911078i
\(243\) −355.917 + 3771.24i −0.0939592 + 0.995576i
\(244\) 9218.09i 2.41856i
\(245\) 1505.16 822.012i 0.392496 0.214353i
\(246\) −2788.23 + 2981.83i −0.722647 + 0.772824i
\(247\) −246.837 427.534i −0.0635865 0.110135i
\(248\) −5136.86 + 8897.30i −1.31529 + 2.27814i
\(249\) 713.931 217.204i 0.181701 0.0552802i
\(250\) −570.431 + 329.338i −0.144309 + 0.0833168i
\(251\) 549.963 0.138300 0.0691501 0.997606i \(-0.477971\pi\)
0.0691501 + 0.997606i \(0.477971\pi\)
\(252\) 6592.89 7364.30i 1.64807 1.84090i
\(253\) −1005.73 −0.249920
\(254\) −346.049 + 199.792i −0.0854845 + 0.0493545i
\(255\) 2438.63 741.922i 0.598874 0.182200i
\(256\) 1166.63 2020.67i 0.284822 0.493327i
\(257\) 1683.67 + 2916.19i 0.408654 + 0.707810i 0.994739 0.102440i \(-0.0326648\pi\)
−0.586085 + 0.810250i \(0.699331\pi\)
\(258\) −7774.18 + 8313.98i −1.87597 + 2.00622i
\(259\) −376.034 + 1339.59i −0.0902147 + 0.321382i
\(260\) 1101.75i 0.262799i
\(261\) 3170.60 + 4728.42i 0.751935 + 1.12139i
\(262\) −5305.35 3063.04i −1.25101 0.722273i
\(263\) 2144.95 + 1238.39i 0.502902 + 0.290350i 0.729911 0.683542i \(-0.239561\pi\)
−0.227009 + 0.973893i \(0.572895\pi\)
\(264\) 393.913 1695.65i 0.0918320 0.395303i
\(265\) 675.305i 0.156542i
\(266\) 4187.57 1068.96i 0.965249 0.246399i
\(267\) −783.469 732.601i −0.179579 0.167919i
\(268\) 7495.77 + 12983.1i 1.70850 + 2.95920i
\(269\) −582.167 + 1008.34i −0.131953 + 0.228549i −0.924429 0.381353i \(-0.875458\pi\)
0.792476 + 0.609903i \(0.208791\pi\)
\(270\) −3456.28 + 1310.51i −0.779046 + 0.295390i
\(271\) 5367.38 3098.86i 1.20312 0.694621i 0.241871 0.970308i \(-0.422239\pi\)
0.961247 + 0.275687i \(0.0889054\pi\)
\(272\) −16540.5 −3.68718
\(273\) 516.127 940.457i 0.114423 0.208495i
\(274\) 2849.96 0.628366
\(275\) −116.982 + 67.5398i −0.0256520 + 0.0148102i
\(276\) −5564.65 18290.5i −1.21360 3.98898i
\(277\) 1755.17 3040.04i 0.380714 0.659416i −0.610451 0.792054i \(-0.709012\pi\)
0.991164 + 0.132639i \(0.0423450\pi\)
\(278\) −2540.11 4399.60i −0.548006 0.949174i
\(279\) 4463.71 299.878i 0.957832 0.0643484i
\(280\) 5527.96 + 1551.75i 1.17985 + 0.331196i
\(281\) 1889.29i 0.401088i −0.979685 0.200544i \(-0.935729\pi\)
0.979685 0.200544i \(-0.0642709\pi\)
\(282\) 14743.1 + 3424.93i 3.11326 + 0.723234i
\(283\) −4555.91 2630.36i −0.956964 0.552504i −0.0617270 0.998093i \(-0.519661\pi\)
−0.895237 + 0.445589i \(0.852994\pi\)
\(284\) 1936.33 + 1117.94i 0.404578 + 0.233583i
\(285\) −1120.72 260.353i −0.232933 0.0541122i
\(286\) 317.389i 0.0656210i
\(287\) −1929.22 1975.56i −0.396789 0.406320i
\(288\) 10569.3 710.060i 2.16251 0.145280i
\(289\) −2356.36 4081.34i −0.479618 0.830723i
\(290\) −2777.68 + 4811.09i −0.562452 + 0.974196i
\(291\) 1579.19 + 5190.64i 0.318122 + 1.04564i
\(292\) −11679.0 + 6742.85i −2.34061 + 1.35135i
\(293\) 1097.04 0.218737 0.109368 0.994001i \(-0.465117\pi\)
0.109368 + 0.994001i \(0.465117\pi\)
\(294\) 6705.65 + 6575.40i 1.33021 + 1.30437i
\(295\) −2849.64 −0.562416
\(296\) −4034.06 + 2329.06i −0.792145 + 0.457345i
\(297\) −708.805 + 268.756i −0.138482 + 0.0525078i
\(298\) 5395.95 9346.06i 1.04892 1.81679i
\(299\) −1037.48 1796.97i −0.200666 0.347564i
\(300\) −1875.56 1753.78i −0.360951 0.337515i
\(301\) −5379.08 5508.29i −1.03005 1.05479i
\(302\) 7531.63i 1.43509i
\(303\) 717.796 3089.85i 0.136093 0.585832i
\(304\) 6465.79 + 3733.03i 1.21986 + 0.704289i
\(305\) 2019.33 + 1165.86i 0.379103 + 0.218875i
\(306\) 7773.92 + 11593.5i 1.45230 + 2.16587i
\(307\) 749.028i 0.139248i −0.997573 0.0696242i \(-0.977820\pi\)
0.997573 0.0696242i \(-0.0221800\pi\)
\(308\) 1904.42 + 534.587i 0.352319 + 0.0988991i
\(309\) −4035.13 + 4315.31i −0.742881 + 0.794463i
\(310\) 2182.79 + 3780.71i 0.399917 + 0.692676i
\(311\) 2264.03 3921.41i 0.412801 0.714992i −0.582394 0.812907i \(-0.697884\pi\)
0.995195 + 0.0979145i \(0.0312172\pi\)
\(312\) 3436.03 1045.37i 0.623483 0.189687i
\(313\) 8795.49 5078.08i 1.58834 0.917029i 0.594760 0.803904i \(-0.297247\pi\)
0.993581 0.113125i \(-0.0360861\pi\)
\(314\) 3118.65 0.560495
\(315\) −779.398 2375.65i −0.139410 0.424929i
\(316\) 25670.9 4.56995
\(317\) −264.996 + 152.995i −0.0469516 + 0.0271075i −0.523292 0.852153i \(-0.675296\pi\)
0.476340 + 0.879261i \(0.341963\pi\)
\(318\) 3537.95 1076.38i 0.623894 0.189812i
\(319\) −569.640 + 986.645i −0.0999803 + 0.173171i
\(320\) 1796.69 + 3111.96i 0.313869 + 0.543637i
\(321\) −1278.55 + 1367.33i −0.222311 + 0.237747i
\(322\) 17600.8 4492.96i 3.04613 0.777587i
\(323\) 4344.88i 0.748469i
\(324\) −8809.45 11403.5i −1.51054 1.95533i
\(325\) −241.352 139.344i −0.0411932 0.0237829i
\(326\) −7805.17 4506.32i −1.32604 0.765589i
\(327\) 317.332 1366.00i 0.0536651 0.231008i
\(328\) 9244.50i 1.55623i
\(329\) −2766.89 + 9856.78i −0.463658 + 1.65174i
\(330\) −540.303 505.223i −0.0901295 0.0842776i
\(331\) 2602.71 + 4508.02i 0.432198 + 0.748590i 0.997062 0.0765945i \(-0.0244047\pi\)
−0.564864 + 0.825184i \(0.691071\pi\)
\(332\) −1419.39 + 2458.46i −0.234636 + 0.406402i
\(333\) 1820.69 + 894.178i 0.299620 + 0.147149i
\(334\) −5360.72 + 3095.01i −0.878219 + 0.507040i
\(335\) 3792.12 0.618464
\(336\) 351.605 + 16220.3i 0.0570881 + 2.63359i
\(337\) 5139.75 0.830801 0.415401 0.909639i \(-0.363641\pi\)
0.415401 + 0.909639i \(0.363641\pi\)
\(338\) −9458.80 + 5461.04i −1.52216 + 0.878821i
\(339\) −1546.71 5083.89i −0.247804 0.814510i
\(340\) −4848.32 + 8397.54i −0.773345 + 1.33947i
\(341\) 447.641 + 775.337i 0.0710883 + 0.123129i
\(342\) −422.335 6286.50i −0.0667757 0.993962i
\(343\) −4648.89 + 4329.14i −0.731827 + 0.681491i
\(344\) 25775.6i 4.03991i
\(345\) −4710.53 1094.29i −0.735091 0.170767i
\(346\) −444.580 256.678i −0.0690773 0.0398818i
\(347\) 7067.55 + 4080.45i 1.09339 + 0.631268i 0.934477 0.356025i \(-0.115868\pi\)
0.158912 + 0.987293i \(0.449201\pi\)
\(348\) −21095.2 4900.58i −3.24949 0.754881i
\(349\) 3643.63i 0.558852i −0.960167 0.279426i \(-0.909856\pi\)
0.960167 0.279426i \(-0.0901441\pi\)
\(350\) 1745.53 1704.59i 0.266579 0.260326i
\(351\) −1211.38 989.205i −0.184213 0.150427i
\(352\) 1059.94 + 1835.87i 0.160497 + 0.277989i
\(353\) 4242.75 7348.66i 0.639714 1.10802i −0.345782 0.938315i \(-0.612386\pi\)
0.985495 0.169702i \(-0.0542805\pi\)
\(354\) −4542.08 14929.4i −0.681945 2.24149i
\(355\) 489.796 282.784i 0.0732272 0.0422777i
\(356\) 4080.39 0.607472
\(357\) −8072.44 + 4896.90i −1.19675 + 0.725970i
\(358\) −2523.03 −0.372476
\(359\) −5221.87 + 3014.85i −0.767687 + 0.443225i −0.832049 0.554702i \(-0.812832\pi\)
0.0643616 + 0.997927i \(0.479499\pi\)
\(360\) 3689.93 7513.30i 0.540213 1.09996i
\(361\) −2448.90 + 4241.62i −0.357035 + 0.618402i
\(362\) −2806.36 4860.76i −0.407456 0.705735i
\(363\) 4940.85 + 4620.05i 0.714400 + 0.668016i
\(364\) 1009.38 + 3954.15i 0.145345 + 0.569379i
\(365\) 3411.21i 0.489181i
\(366\) −2889.35 + 12437.6i −0.412647 + 1.77630i
\(367\) 3746.73 + 2163.18i 0.532910 + 0.307676i 0.742201 0.670178i \(-0.233782\pi\)
−0.209291 + 0.977853i \(0.567116\pi\)
\(368\) 27176.5 + 15690.3i 3.84965 + 2.22260i
\(369\) −3343.50 + 2241.95i −0.471696 + 0.316291i
\(370\) 1979.36i 0.278114i
\(371\) 618.684 + 2423.64i 0.0865781 + 0.339163i
\(372\) −11623.7 + 12430.8i −1.62006 + 1.73255i
\(373\) −4580.70 7934.01i −0.635871 1.10136i −0.986330 0.164782i \(-0.947308\pi\)
0.350459 0.936578i \(-0.386025\pi\)
\(374\) −1396.69 + 2419.13i −0.193104 + 0.334466i
\(375\) −621.397 + 189.052i −0.0855701 + 0.0260336i
\(376\) −29682.9 + 17137.4i −4.07122 + 2.35052i
\(377\) −2350.50 −0.321106
\(378\) 11203.8 7869.87i 1.52450 1.07085i
\(379\) 9768.98 1.32401 0.662004 0.749501i \(-0.269706\pi\)
0.662004 + 0.749501i \(0.269706\pi\)
\(380\) 3790.49 2188.44i 0.511706 0.295434i
\(381\) −376.968 + 114.688i −0.0506894 + 0.0154216i
\(382\) 9634.00 16686.6i 1.29036 2.23497i
\(383\) 3631.52 + 6289.98i 0.484497 + 0.839173i 0.999841 0.0178102i \(-0.00566945\pi\)
−0.515345 + 0.856983i \(0.672336\pi\)
\(384\) −2300.78 + 2460.54i −0.305758 + 0.326989i
\(385\) 357.969 349.572i 0.0473864 0.0462749i
\(386\) 3828.36i 0.504815i
\(387\) −9322.40 + 6251.04i −1.22451 + 0.821081i
\(388\) −17874.2 10319.7i −2.33873 1.35027i
\(389\) −4946.69 2855.97i −0.644749 0.372246i 0.141693 0.989911i \(-0.454746\pi\)
−0.786441 + 0.617665i \(0.788079\pi\)
\(390\) 345.338 1486.55i 0.0448381 0.193012i
\(391\) 18262.0i 2.36202i
\(392\) −21261.3 504.701i −2.73943 0.0650287i
\(393\) −4412.41 4125.93i −0.566353 0.529581i
\(394\) −1919.18 3324.11i −0.245398 0.425042i
\(395\) 3246.74 5623.51i 0.413572 0.716328i
\(396\) 1271.20 2588.38i 0.161314 0.328462i
\(397\) −11800.7 + 6813.14i −1.49184 + 0.861314i −0.999956 0.00934699i \(-0.997025\pi\)
−0.491883 + 0.870661i \(0.663691\pi\)
\(398\) −1456.96 −0.183494
\(399\) 4260.76 92.3601i 0.534599 0.0115884i
\(400\) 4214.74 0.526842
\(401\) 6146.26 3548.54i 0.765410 0.441910i −0.0658246 0.997831i \(-0.520968\pi\)
0.831235 + 0.555921i \(0.187634\pi\)
\(402\) 6044.30 + 19867.0i 0.749906 + 2.46487i
\(403\) −923.548 + 1599.63i −0.114157 + 0.197725i
\(404\) 6033.56 + 10450.4i 0.743021 + 1.28695i
\(405\) −3612.25 + 487.551i −0.443195 + 0.0598188i
\(406\) 5561.30 19811.6i 0.679810 2.42176i
\(407\) 405.923i 0.0494370i
\(408\) −30789.5 7152.65i −3.73605 0.867914i
\(409\) −738.997 426.660i −0.0893424 0.0515818i 0.454663 0.890663i \(-0.349760\pi\)
−0.544006 + 0.839082i \(0.683093\pi\)
\(410\) −3401.96 1964.12i −0.409782 0.236588i
\(411\) 2737.44 + 635.928i 0.328535 + 0.0763213i
\(412\) 22474.6i 2.68748i
\(413\) 10227.3 2610.72i 1.21852 0.311053i
\(414\) −1775.12 26422.8i −0.210731 3.13674i
\(415\) 359.035 + 621.867i 0.0424683 + 0.0735573i
\(416\) −2186.81 + 3787.66i −0.257733 + 0.446407i
\(417\) −1458.12 4792.69i −0.171233 0.562828i
\(418\) 1091.95 630.439i 0.127773 0.0737698i
\(419\) −16414.9 −1.91389 −0.956947 0.290263i \(-0.906257\pi\)
−0.956947 + 0.290263i \(0.906257\pi\)
\(420\) 8338.04 + 4575.96i 0.968701 + 0.531628i
\(421\) 91.0902 0.0105450 0.00527252 0.999986i \(-0.498322\pi\)
0.00527252 + 0.999986i \(0.498322\pi\)
\(422\) 12251.2 7073.25i 1.41322 0.815925i
\(423\) 13396.8 + 6579.43i 1.53989 + 0.756272i
\(424\) −4187.14 + 7252.34i −0.479589 + 0.830672i
\(425\) 1226.38 + 2124.16i 0.139973 + 0.242440i
\(426\) 2262.20 + 2115.33i 0.257287 + 0.240582i
\(427\) −8315.40 2334.21i −0.942413 0.264544i
\(428\) 7121.19i 0.804243i
\(429\) 70.8210 304.858i 0.00797032 0.0343093i
\(430\) −9485.37 5476.38i −1.06378 0.614174i
\(431\) −9266.32 5349.91i −1.03560 0.597903i −0.117015 0.993130i \(-0.537333\pi\)
−0.918583 + 0.395227i \(0.870666\pi\)
\(432\) 23345.9 + 3795.79i 2.60007 + 0.422743i
\(433\) 6880.53i 0.763642i 0.924236 + 0.381821i \(0.124703\pi\)
−0.924236 + 0.381821i \(0.875297\pi\)
\(434\) −11297.7 11569.0i −1.24955 1.27957i
\(435\) −3741.55 + 4001.34i −0.412399 + 0.441034i
\(436\) 2667.39 + 4620.05i 0.292992 + 0.507477i
\(437\) 4121.56 7138.76i 0.451170 0.781449i
\(438\) −17871.5 + 5437.17i −1.94962 + 0.593146i
\(439\) −785.949 + 453.768i −0.0854471 + 0.0493329i −0.542115 0.840304i \(-0.682376\pi\)
0.456668 + 0.889637i \(0.349043\pi\)
\(440\) 1675.09 0.181493
\(441\) 4973.70 + 7812.07i 0.537058 + 0.843545i
\(442\) −5763.13 −0.620191
\(443\) −2511.71 + 1450.14i −0.269379 + 0.155526i −0.628605 0.777724i \(-0.716374\pi\)
0.359226 + 0.933250i \(0.383041\pi\)
\(444\) −7382.23 + 2245.95i −0.789065 + 0.240063i
\(445\) 516.068 893.855i 0.0549752 0.0952198i
\(446\) 12094.3 + 20947.9i 1.28404 + 2.22401i
\(447\) 7268.36 7773.04i 0.769086 0.822488i
\(448\) −9299.30 9522.67i −0.980693 1.00425i
\(449\) 11022.1i 1.15850i 0.815151 + 0.579249i \(0.196654\pi\)
−0.815151 + 0.579249i \(0.803346\pi\)
\(450\) −1980.90 2954.19i −0.207513 0.309471i
\(451\) −697.664 402.797i −0.0728419 0.0420553i
\(452\) 17506.6 + 10107.4i 1.82177 + 1.05180i
\(453\) 1680.58 7234.28i 0.174306 0.750323i
\(454\) 13377.1i 1.38286i
\(455\) 993.863 + 278.987i 0.102402 + 0.0287453i
\(456\) 10421.6 + 9744.94i 1.07025 + 1.00076i
\(457\) 907.562 + 1571.94i 0.0928971 + 0.160902i 0.908729 0.417387i \(-0.137054\pi\)
−0.815832 + 0.578289i \(0.803721\pi\)
\(458\) −5715.77 + 9900.01i −0.583145 + 1.01004i
\(459\) 4880.06 + 12870.4i 0.496257 + 1.30880i
\(460\) 15931.9 9198.27i 1.61484 0.932329i
\(461\) −5247.54 −0.530157 −0.265078 0.964227i \(-0.585398\pi\)
−0.265078 + 0.964227i \(0.585398\pi\)
\(462\) 2401.99 + 1318.23i 0.241885 + 0.132748i
\(463\) 11225.9 1.12681 0.563404 0.826181i \(-0.309491\pi\)
0.563404 + 0.826181i \(0.309491\pi\)
\(464\) 30785.2 17773.8i 3.08010 1.77830i
\(465\) 1253.00 + 4118.50i 0.124960 + 0.410733i
\(466\) 125.300 217.027i 0.0124559 0.0215742i
\(467\) −4608.69 7982.48i −0.456669 0.790974i 0.542113 0.840305i \(-0.317624\pi\)
−0.998782 + 0.0493311i \(0.984291\pi\)
\(468\) 5936.09 398.794i 0.586316 0.0393895i
\(469\) −13609.8 + 3474.17i −1.33996 + 0.342052i
\(470\) 14564.3i 1.42937i
\(471\) 2995.52 + 695.883i 0.293050 + 0.0680777i
\(472\) 30603.3 + 17668.9i 2.98439 + 1.72304i
\(473\) −1945.24 1123.08i −0.189095 0.109174i
\(474\) 34636.8 + 8046.40i 3.35637 + 0.779712i
\(475\) 1107.14i 0.106945i
\(476\) 9707.00 34580.3i 0.934705 3.32980i
\(477\) 3638.44 244.436i 0.349251 0.0234632i
\(478\) 15550.1 + 26933.5i 1.48796 + 2.57722i
\(479\) −5002.73 + 8664.97i −0.477203 + 0.826540i −0.999659 0.0261264i \(-0.991683\pi\)
0.522455 + 0.852667i \(0.325016\pi\)
\(480\) 2966.90 + 9751.92i 0.282124 + 0.927317i
\(481\) −725.277 + 418.739i −0.0687521 + 0.0396941i
\(482\) −674.713 −0.0637601
\(483\) 17908.5 388.200i 1.68709 0.0365708i
\(484\) −25732.4 −2.41664
\(485\) −4521.29 + 2610.37i −0.423302 + 0.244393i
\(486\) −8311.90 18147.6i −0.775793 1.69381i
\(487\) −8507.45 + 14735.3i −0.791600 + 1.37109i 0.133376 + 0.991066i \(0.457418\pi\)
−0.924976 + 0.380026i \(0.875915\pi\)
\(488\) −14457.5 25041.2i −1.34111 2.32287i
\(489\) −6491.50 6070.02i −0.600318 0.561341i
\(490\) −4702.98 + 7716.88i −0.433590 + 0.711455i
\(491\) 6956.50i 0.639394i −0.947520 0.319697i \(-0.896419\pi\)
0.947520 0.319697i \(-0.103581\pi\)
\(492\) 3465.23 14916.6i 0.317530 1.36685i
\(493\) 17915.5 + 10343.5i 1.63666 + 0.944924i
\(494\) 2252.85 + 1300.69i 0.205184 + 0.118463i
\(495\) −406.238 605.838i −0.0368870 0.0550109i
\(496\) 27934.5i 2.52882i
\(497\) −1498.78 + 1463.63i −0.135271 + 0.132098i
\(498\) −2685.72 + 2872.20i −0.241666 + 0.258447i
\(499\) −6545.11 11336.5i −0.587173 1.01701i −0.994601 0.103776i \(-0.966907\pi\)
0.407428 0.913238i \(-0.366426\pi\)
\(500\) 1235.42 2139.81i 0.110499 0.191390i
\(501\) −5839.68 + 1776.65i −0.520754 + 0.158433i
\(502\) −2509.73 + 1448.99i −0.223137 + 0.128828i
\(503\) −10133.9 −0.898310 −0.449155 0.893454i \(-0.648275\pi\)
−0.449155 + 0.893454i \(0.648275\pi\)
\(504\) −6359.68 + 30345.5i −0.562069 + 2.68194i
\(505\) 3052.38 0.268969
\(506\) 4589.60 2649.80i 0.403226 0.232803i
\(507\) −10303.9 + 3134.84i −0.902590 + 0.274601i
\(508\) 749.462 1298.11i 0.0654567 0.113374i
\(509\) −7484.28 12963.2i −0.651739 1.12884i −0.982701 0.185200i \(-0.940707\pi\)
0.330962 0.943644i \(-0.392627\pi\)
\(510\) −9173.81 + 9810.80i −0.796516 + 0.851822i
\(511\) −3125.20 12242.7i −0.270549 1.05986i
\(512\) 17481.3i 1.50893i
\(513\) 997.084 6132.54i 0.0858135 0.527794i
\(514\) −15366.6 8871.93i −1.31866 0.761331i
\(515\) −4923.31 2842.47i −0.421256 0.243212i
\(516\) 9661.81 41590.5i 0.824297 3.54830i
\(517\) 2986.81i 0.254081i
\(518\) −1813.41 7103.87i −0.153816 0.602560i
\(519\) −369.753 345.746i −0.0312724 0.0292419i
\(520\) 1727.98 + 2992.94i 0.145724 + 0.252402i
\(521\) −2464.79 + 4269.14i −0.207264 + 0.358991i −0.950852 0.309647i \(-0.899789\pi\)
0.743588 + 0.668638i \(0.233122\pi\)
\(522\) −26926.9 13224.3i −2.25777 1.10884i
\(523\) −10711.8 + 6184.48i −0.895595 + 0.517072i −0.875768 0.482732i \(-0.839645\pi\)
−0.0198263 + 0.999803i \(0.506311\pi\)
\(524\) 22980.3 1.91584
\(525\) 2056.97 1247.80i 0.170997 0.103730i
\(526\) −13051.1 −1.08186
\(527\) 14078.5 8128.24i 1.16370 0.671863i
\(528\) 1377.69 + 4528.35i 0.113554 + 0.373241i
\(529\) 11239.9 19468.1i 0.923801 1.60007i
\(530\) 1779.23 + 3081.72i 0.145820 + 0.252568i
\(531\) −1031.47 15353.5i −0.0842972 1.25477i
\(532\) −11599.0 + 11326.9i −0.945263 + 0.923091i
\(533\) 1662.05i 0.135069i
\(534\) 5505.51 + 1278.97i 0.446155 + 0.103645i
\(535\) −1559.98 900.654i −0.126063 0.0727826i
\(536\) −40724.9 23512.5i −3.28181 1.89475i
\(537\) −2423.42 562.979i −0.194745 0.0452409i
\(538\) 6135.36i 0.491662i
\(539\) −964.475 + 1582.56i −0.0770739 + 0.126467i
\(540\) 8770.24 10740.0i 0.698909 0.855884i
\(541\) −5162.10 8941.03i −0.410233 0.710545i 0.584682 0.811263i \(-0.301219\pi\)
−0.994915 + 0.100718i \(0.967886\pi\)
\(542\) −16329.2 + 28283.0i −1.29409 + 2.24143i
\(543\) −1610.95 5295.05i −0.127316 0.418476i
\(544\) 33335.6 19246.3i 2.62730 1.51687i
\(545\) 1349.43 0.106061
\(546\) 122.508 + 5651.57i 0.00960233 + 0.442976i
\(547\) 17996.8 1.40674 0.703371 0.710823i \(-0.251677\pi\)
0.703371 + 0.710823i \(0.251677\pi\)
\(548\) −9258.52 + 5345.41i −0.721723 + 0.416687i
\(549\) −5550.56 + 11301.8i −0.431497 + 0.878599i
\(550\) 355.895 616.429i 0.0275917 0.0477902i
\(551\) −4668.86 8086.70i −0.360980 0.625236i
\(552\) 43803.1 + 40959.1i 3.37750 + 3.15821i
\(553\) −6500.41 + 23157.1i −0.499865 + 1.78072i
\(554\) 18497.4i 1.41855i
\(555\) −441.668 + 1901.22i −0.0337797 + 0.145409i
\(556\) 16503.9 + 9528.51i 1.25885 + 0.726796i
\(557\) 16846.3 + 9726.22i 1.28151 + 0.739880i 0.977124 0.212669i \(-0.0682157\pi\)
0.304385 + 0.952549i \(0.401549\pi\)
\(558\) −19579.8 + 13129.0i −1.48545 + 0.996051i
\(559\) 4634.16i 0.350634i
\(560\) −15126.5 + 3861.36i −1.14145 + 0.291379i
\(561\) −1881.34 + 2011.97i −0.141587 + 0.151418i
\(562\) 4977.73 + 8621.68i 0.373617 + 0.647124i
\(563\) 4845.31 8392.33i 0.362710 0.628232i −0.625696 0.780067i \(-0.715185\pi\)
0.988406 + 0.151835i \(0.0485183\pi\)
\(564\) −54319.0 + 16525.9i −4.05539 + 1.23380i
\(565\) 4428.30 2556.68i 0.329735 0.190372i
\(566\) 27720.9 2.05865
\(567\) 12517.5 5059.18i 0.927138 0.374719i
\(568\) −7013.46 −0.518095
\(569\) 11906.3 6874.13i 0.877223 0.506465i 0.00748111 0.999972i \(-0.497619\pi\)
0.869742 + 0.493507i \(0.164285\pi\)
\(570\) 5800.32 1764.67i 0.426226 0.129674i
\(571\) −6964.40 + 12062.7i −0.510422 + 0.884077i 0.489505 + 0.872001i \(0.337178\pi\)
−0.999927 + 0.0120766i \(0.996156\pi\)
\(572\) 595.298 + 1031.09i 0.0435151 + 0.0753704i
\(573\) 12977.0 13878.1i 0.946113 1.01181i
\(574\) 14008.9 + 3932.44i 1.01868 + 0.285952i
\(575\) 4653.41i 0.337497i
\(576\) −16116.5 + 10806.7i −1.16583 + 0.781737i
\(577\) −1032.28 595.988i −0.0744791 0.0430005i 0.462298 0.886725i \(-0.347025\pi\)
−0.536777 + 0.843724i \(0.680358\pi\)
\(578\) 21506.3 + 12416.7i 1.54765 + 0.893538i
\(579\) −854.245 + 3677.21i −0.0613147 + 0.263937i
\(580\) 20839.4i 1.49191i
\(581\) −1858.29 1902.93i −0.132694 0.135881i
\(582\) −20882.4 19526.5i −1.48729 1.39072i
\(583\) 364.880 + 631.990i 0.0259207 + 0.0448960i
\(584\) 21150.8 36634.2i 1.49867 2.59578i
\(585\) 663.407 1350.81i 0.0468863 0.0954683i
\(586\) −5006.30 + 2890.39i −0.352915 + 0.203756i
\(587\) 4276.32 0.300686 0.150343 0.988634i \(-0.451962\pi\)
0.150343 + 0.988634i \(0.451962\pi\)
\(588\) −34117.2 8784.00i −2.39281 0.616065i
\(589\) −7337.88 −0.513331
\(590\) 13004.2 7507.97i 0.907414 0.523896i
\(591\) −1101.68 3621.11i −0.0766784 0.252035i
\(592\) 6332.78 10968.7i 0.439655 0.761504i
\(593\) −1930.62 3343.93i −0.133695 0.231566i 0.791403 0.611294i \(-0.209351\pi\)
−0.925098 + 0.379728i \(0.876018\pi\)
\(594\) 2526.50 3093.95i 0.174518 0.213714i
\(595\) −6347.51 6499.98i −0.437349 0.447854i
\(596\) 40482.8i 2.78228i
\(597\) −1399.44 325.100i −0.0959382 0.0222872i
\(598\) 9469.00 + 5466.93i 0.647519 + 0.373845i
\(599\) −6544.71 3778.59i −0.446427 0.257745i 0.259893 0.965637i \(-0.416313\pi\)
−0.706320 + 0.707893i \(0.749646\pi\)
\(600\) 7845.60 + 1822.59i 0.533826 + 0.124012i
\(601\) 8854.35i 0.600959i 0.953788 + 0.300479i \(0.0971467\pi\)
−0.953788 + 0.300479i \(0.902853\pi\)
\(602\) 39059.9 + 10964.5i 2.64446 + 0.742323i
\(603\) 1372.61 + 20431.4i 0.0926980 + 1.37982i
\(604\) 14126.4 + 24467.6i 0.951648 + 1.64830i
\(605\) −3254.51 + 5636.98i −0.218702 + 0.378803i
\(606\) 4865.22 + 15991.5i 0.326132 + 1.07197i
\(607\) 11680.8 6743.90i 0.781068 0.450950i −0.0557409 0.998445i \(-0.517752\pi\)
0.836809 + 0.547496i \(0.184419\pi\)
\(608\) −17374.9 −1.15895
\(609\) 9762.42 17788.5i 0.649578 1.18362i
\(610\) −12286.8 −0.815537
\(611\) −5336.64 + 3081.11i −0.353351 + 0.204007i
\(612\) −46999.6 23082.5i −3.10433 1.52460i
\(613\) 9641.06 16698.8i 0.635234 1.10026i −0.351231 0.936289i \(-0.614237\pi\)
0.986465 0.163969i \(-0.0524298\pi\)
\(614\) 1973.47 + 3418.15i 0.129711 + 0.224666i
\(615\) −2829.38 2645.67i −0.185515 0.173470i
\(616\) −6011.83 + 1534.64i −0.393220 + 0.100377i
\(617\) 20155.9i 1.31515i −0.753390 0.657574i \(-0.771583\pi\)
0.753390 0.657574i \(-0.228417\pi\)
\(618\) 7044.51 30324.0i 0.458530 1.97381i
\(619\) 4448.02 + 2568.06i 0.288822 + 0.166752i 0.637411 0.770524i \(-0.280006\pi\)
−0.348588 + 0.937276i \(0.613339\pi\)
\(620\) −14182.3 8188.13i −0.918666 0.530392i
\(621\) 4190.85 25775.7i 0.270810 1.66561i
\(622\) 23860.2i 1.53811i
\(623\) −1033.24 + 3680.81i −0.0664459 + 0.236707i
\(624\) −6669.77 + 7132.89i −0.427892 + 0.457603i
\(625\) −312.500 541.266i −0.0200000 0.0346410i
\(626\) −26758.5 + 46347.1i −1.70844 + 2.95911i
\(627\) 1189.51 361.895i 0.0757650 0.0230505i
\(628\) −10131.4 + 5849.37i −0.643769 + 0.371680i
\(629\) 7370.73 0.467234
\(630\) 9815.88 + 8787.67i 0.620753 + 0.555729i
\(631\) 22640.5 1.42837 0.714186 0.699956i \(-0.246797\pi\)
0.714186 + 0.699956i \(0.246797\pi\)
\(632\) −69735.8 + 40262.0i −4.38915 + 2.53407i
\(633\) 13345.8 4060.30i 0.837993 0.254949i
\(634\) 806.196 1396.37i 0.0505018 0.0874717i
\(635\) −189.577 328.357i −0.0118474 0.0205204i
\(636\) −9474.69 + 10132.6i −0.590717 + 0.631734i
\(637\) −3822.53 90.7394i −0.237762 0.00564400i
\(638\) 6003.34i 0.372530i
\(639\) 1700.89 + 2536.59i 0.105299 + 0.157036i
\(640\) −2807.21 1620.74i −0.173382 0.100102i
\(641\) 20595.2 + 11890.6i 1.26905 + 0.732687i 0.974808 0.223044i \(-0.0715994\pi\)
0.294242 + 0.955731i \(0.404933\pi\)
\(642\) 2232.09 9608.35i 0.137218 0.590672i
\(643\) 3632.10i 0.222762i 0.993778 + 0.111381i \(0.0355274\pi\)
−0.993778 + 0.111381i \(0.964473\pi\)
\(644\) −48751.9 + 47608.3i −2.98306 + 2.91309i
\(645\) −7888.91 7376.70i −0.481590 0.450321i
\(646\) −11447.5 19827.6i −0.697206 1.20760i
\(647\) 10275.1 17797.0i 0.624352 1.08141i −0.364314 0.931276i \(-0.618696\pi\)
0.988666 0.150133i \(-0.0479703\pi\)
\(648\) 41816.2 + 17161.3i 2.53502 + 1.04037i
\(649\) 2666.87 1539.72i 0.161300 0.0931265i
\(650\) 1468.53 0.0886160
\(651\) −8270.16 13633.2i −0.497900 0.820779i
\(652\) 33808.4 2.03073
\(653\) 25694.2 14834.5i 1.53980 0.889005i 0.540952 0.841053i \(-0.318064\pi\)
0.998850 0.0479520i \(-0.0152694\pi\)
\(654\) 2150.87 + 7069.73i 0.128602 + 0.422704i
\(655\) 2906.44 5034.10i 0.173380 0.300303i
\(656\) 12568.0 + 21768.4i 0.748016 + 1.29560i
\(657\) −18379.1 + 1234.73i −1.09138 + 0.0733205i
\(658\) −13343.2 52270.8i −0.790534 3.09685i
\(659\) 3586.12i 0.211981i 0.994367 + 0.105990i \(0.0338013\pi\)
−0.994367 + 0.105990i \(0.966199\pi\)
\(660\) 2702.86 + 627.895i 0.159407 + 0.0370315i
\(661\) 7982.52 + 4608.71i 0.469718 + 0.271192i 0.716122 0.697975i \(-0.245915\pi\)
−0.246403 + 0.969167i \(0.579249\pi\)
\(662\) −23754.6 13714.7i −1.39464 0.805194i
\(663\) −5535.60 1285.96i −0.324261 0.0753283i
\(664\) 8904.61i 0.520431i
\(665\) 1014.31 + 3973.47i 0.0591476 + 0.231706i
\(666\) −10664.5 + 716.457i −0.620484 + 0.0416849i
\(667\) −19623.7 33989.3i −1.13918 1.97312i
\(668\) 11610.1 20109.2i 0.672465 1.16474i
\(669\) 6942.54 + 22819.5i 0.401217 + 1.31876i
\(670\) −17305.1 + 9991.12i −0.997844 + 0.576105i
\(671\) −2519.74 −0.144968
\(672\) −19582.4 32281.1i −1.12412 1.85308i
\(673\) −21777.5 −1.24734 −0.623670 0.781688i \(-0.714359\pi\)
−0.623670 + 0.781688i \(0.714359\pi\)
\(674\) −23455.0 + 13541.7i −1.34043 + 0.773899i
\(675\) −1243.51 3279.57i −0.0709076 0.187008i
\(676\) 20485.6 35482.0i 1.16554 2.01878i
\(677\) 13892.5 + 24062.5i 0.788674 + 1.36602i 0.926779 + 0.375606i \(0.122565\pi\)
−0.138105 + 0.990418i \(0.544101\pi\)
\(678\) 20452.9 + 19124.9i 1.15854 + 1.08332i
\(679\) 13835.3 13510.7i 0.781956 0.763614i
\(680\) 30416.2i 1.71530i
\(681\) −2984.91 + 12848.9i −0.167962 + 0.723014i
\(682\) −4085.57 2358.81i −0.229391 0.132439i
\(683\) −30200.7 17436.4i −1.69194 0.976844i −0.952948 0.303134i \(-0.901967\pi\)
−0.738996 0.673710i \(-0.764700\pi\)
\(684\) 13163.0 + 19630.5i 0.735820 + 1.09736i
\(685\) 2704.25i 0.150838i
\(686\) 9808.96 32004.2i 0.545930 1.78124i
\(687\) −7699.16 + 8233.75i −0.427571 + 0.457259i
\(688\) 35042.3 + 60695.0i 1.94182 + 3.36334i
\(689\) −752.800 + 1303.89i −0.0416247 + 0.0720960i
\(690\) 24379.4 7417.12i 1.34508 0.409225i
\(691\) −16443.9 + 9493.88i −0.905289 + 0.522669i −0.878912 0.476983i \(-0.841730\pi\)
−0.0263765 + 0.999652i \(0.508397\pi\)
\(692\) 1925.71 0.105787
\(693\) 2013.02 + 1802.15i 0.110344 + 0.0987851i
\(694\) −43003.2 −2.35213
\(695\) 4174.66 2410.24i 0.227847 0.131548i
\(696\) 64991.6 19772.9i 3.53951 1.07685i
\(697\) −7313.96 + 12668.1i −0.397469 + 0.688437i
\(698\) 9599.91 + 16627.5i 0.520576 + 0.901663i
\(699\) 168.780 180.499i 0.00913282 0.00976696i
\(700\) −2473.48 + 8811.54i −0.133555 + 0.475778i
\(701\) 12203.2i 0.657499i −0.944417 0.328749i \(-0.893373\pi\)
0.944417 0.328749i \(-0.106627\pi\)
\(702\) 8134.33 + 1322.55i 0.437337 + 0.0711062i
\(703\) −2881.27 1663.50i −0.154579 0.0892465i
\(704\) −3362.90 1941.57i −0.180034 0.103943i
\(705\) −3249.83 + 13989.3i −0.173611 + 0.747330i
\(706\) 44713.6i 2.38360i
\(707\) −10954.9 + 2796.45i −0.582745 + 0.148757i
\(708\) 42757.3 + 39981.2i 2.26966 + 2.12230i
\(709\) 5138.72 + 8900.52i 0.272198 + 0.471461i 0.969424 0.245390i \(-0.0789160\pi\)
−0.697226 + 0.716851i \(0.745583\pi\)
\(710\) −1490.10 + 2580.94i −0.0787642 + 0.136424i
\(711\) 31473.9 + 15457.4i 1.66014 + 0.815330i
\(712\) −11084.5 + 6399.63i −0.583439 + 0.336848i
\(713\) −30841.9 −1.61997
\(714\) 23936.3 43615.2i 1.25461 2.28608i
\(715\) 301.162 0.0157522
\(716\) 8196.45 4732.22i 0.427815 0.246999i
\(717\) 8926.31 + 29340.0i 0.464936 + 1.52820i
\(718\) 15886.5 27516.2i 0.825736 1.43022i
\(719\) −14256.3 24692.6i −0.739458 1.28078i −0.952740 0.303788i \(-0.901749\pi\)
0.213282 0.976991i \(-0.431585\pi\)
\(720\) 1525.58 + 22708.4i 0.0789653 + 1.17541i
\(721\) 20273.7 + 5691.02i 1.04720 + 0.293959i
\(722\) 25808.6i 1.33033i
\(723\) −648.075 150.553i −0.0333363 0.00774429i
\(724\) 18233.8 + 10527.3i 0.935985 + 0.540391i
\(725\) −4565.11 2635.67i −0.233854 0.135015i
\(726\) −34719.8 8065.67i −1.77489 0.412321i
\(727\) 18858.2i 0.962052i 0.876706 + 0.481026i \(0.159736\pi\)
−0.876706 + 0.481026i \(0.840264\pi\)
\(728\) −8943.64 9158.46i −0.455320 0.466257i
\(729\) −3934.36 19285.8i −0.199886 0.979819i
\(730\) −8987.55 15566.9i −0.455677 0.789255i
\(731\) −20392.9 + 35321.5i −1.03182 + 1.78716i
\(732\) −13941.6 45824.7i −0.703957 2.31384i
\(733\) −25590.6 + 14774.7i −1.28951 + 0.744499i −0.978567 0.205929i \(-0.933978\pi\)
−0.310943 + 0.950428i \(0.600645\pi\)
\(734\) −22797.4 −1.14641
\(735\) −6239.22 + 6362.80i −0.313111 + 0.319314i
\(736\) −73028.5 −3.65743
\(737\) −3548.89 + 2048.95i −0.177375 + 0.102407i
\(738\) 9351.01 19040.2i 0.466417 0.949700i
\(739\) −11576.9 + 20051.8i −0.576270 + 0.998129i 0.419632 + 0.907694i \(0.362159\pi\)
−0.995902 + 0.0904348i \(0.971174\pi\)
\(740\) −3712.51 6430.26i −0.184425 0.319434i
\(741\) 1873.68 + 1752.03i 0.0928898 + 0.0868588i
\(742\) −9208.92 9430.12i −0.455620 0.466564i
\(743\) 1690.45i 0.0834677i 0.999129 + 0.0417339i \(0.0132882\pi\)
−0.999129 + 0.0417339i \(0.986712\pi\)
\(744\) 12079.8 51999.1i 0.595251 2.56234i
\(745\) 8868.21 + 5120.07i 0.436116 + 0.251792i
\(746\) 41807.6 + 24137.6i 2.05185 + 1.18464i
\(747\) −3220.57 + 2159.52i −0.157744 + 0.105774i
\(748\) 10478.6i 0.512211i
\(749\) 6423.85 + 1803.23i 0.313381 + 0.0879688i
\(750\) 2337.62 2499.93i 0.113810 0.121713i
\(751\) −3030.19 5248.44i −0.147235 0.255018i 0.782970 0.622060i \(-0.213704\pi\)
−0.930204 + 0.367042i \(0.880371\pi\)
\(752\) 46597.1 80708.5i 2.25960 3.91374i
\(753\) −2733.96 + 831.774i −0.132312 + 0.0402543i
\(754\) 10726.4 6192.88i 0.518079 0.299113i
\(755\) 7146.56 0.344490
\(756\) −21636.5 + 46580.5i −1.04089 + 2.24089i
\(757\) 24942.2 1.19754 0.598770 0.800921i \(-0.295656\pi\)
0.598770 + 0.800921i \(0.295656\pi\)
\(758\) −44580.2 + 25738.4i −2.13618 + 1.23333i
\(759\) 4999.66 1521.08i 0.239099 0.0727429i
\(760\) −6864.65 + 11889.9i −0.327641 + 0.567491i
\(761\) −1876.53 3250.25i −0.0893880 0.154824i 0.817865 0.575411i \(-0.195158\pi\)
−0.907253 + 0.420586i \(0.861824\pi\)
\(762\) 1418.10 1516.57i 0.0674180 0.0720992i
\(763\) −4843.06 + 1236.29i −0.229791 + 0.0586588i
\(764\) 72278.5i 3.42270i
\(765\) −11000.8 + 7376.45i −0.519913 + 0.348622i
\(766\) −33144.5 19136.0i −1.56340 0.902627i
\(767\) 5502.13 + 3176.66i 0.259023 + 0.149547i
\(768\) −2743.44 + 11809.5i −0.128900 + 0.554869i
\(769\) 11814.2i 0.554004i 0.960869 + 0.277002i \(0.0893409\pi\)
−0.960869 + 0.277002i \(0.910659\pi\)
\(770\) −712.551 + 2538.40i −0.0333488 + 0.118802i
\(771\) −12780.3 11950.5i −0.596980 0.558219i
\(772\) −7180.51 12437.0i