Properties

Label 63.4.s.a.47.20
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.20
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.20

$q$-expansion

\(f(q)\) \(=\) \(q+(3.68213 - 2.12588i) q^{2} +(3.24389 - 4.05921i) q^{3} +(5.03872 - 8.72732i) q^{4} -2.97507 q^{5} +(3.31505 - 21.8426i) q^{6} +(-4.05014 + 18.0720i) q^{7} -8.83278i q^{8} +(-5.95432 - 26.3353i) q^{9} +O(q^{10})\) \(q+(3.68213 - 2.12588i) q^{2} +(3.24389 - 4.05921i) q^{3} +(5.03872 - 8.72732i) q^{4} -2.97507 q^{5} +(3.31505 - 21.8426i) q^{6} +(-4.05014 + 18.0720i) q^{7} -8.83278i q^{8} +(-5.95432 - 26.3353i) q^{9} +(-10.9546 + 6.32464i) q^{10} +33.6576i q^{11} +(-19.0809 - 48.7637i) q^{12} +(22.0839 - 12.7502i) q^{13} +(23.5057 + 75.1535i) q^{14} +(-9.65082 + 12.0764i) q^{15} +(21.5324 + 37.2951i) q^{16} +(-55.6342 - 96.3612i) q^{17} +(-77.9102 - 84.3117i) q^{18} +(66.6439 + 38.4768i) q^{19} +(-14.9906 + 25.9644i) q^{20} +(60.2197 + 75.0639i) q^{21} +(71.5519 + 123.932i) q^{22} -27.8198i q^{23} +(-35.8541 - 28.6526i) q^{24} -116.149 q^{25} +(54.2106 - 93.8955i) q^{26} +(-126.215 - 61.2589i) q^{27} +(137.312 + 126.407i) q^{28} +(87.6545 + 50.6073i) q^{29} +(-9.86252 + 64.9835i) q^{30} +(-57.9504 - 33.4577i) q^{31} +(219.765 + 126.881i) q^{32} +(136.623 + 109.182i) q^{33} +(-409.704 - 236.543i) q^{34} +(12.0495 - 53.7654i) q^{35} +(-259.838 - 80.7307i) q^{36} +(-146.685 + 254.067i) q^{37} +327.188 q^{38} +(19.8823 - 131.003i) q^{39} +26.2782i q^{40} +(-62.2674 - 107.850i) q^{41} +(381.313 + 148.375i) q^{42} +(-151.499 + 262.404i) q^{43} +(293.741 + 169.591i) q^{44} +(17.7145 + 78.3493i) q^{45} +(-59.1416 - 102.436i) q^{46} +(-183.568 - 317.949i) q^{47} +(221.237 + 33.5771i) q^{48} +(-310.193 - 146.388i) q^{49} +(-427.676 + 246.919i) q^{50} +(-571.621 - 86.7548i) q^{51} -256.978i q^{52} +(281.281 - 162.397i) q^{53} +(-594.971 + 42.7554i) q^{54} -100.134i q^{55} +(159.626 + 35.7740i) q^{56} +(372.371 - 145.706i) q^{57} +430.340 q^{58} +(388.659 - 673.177i) q^{59} +(56.7672 + 145.076i) q^{60} +(162.171 - 93.6293i) q^{61} -284.508 q^{62} +(500.046 - 0.944816i) q^{63} +734.421 q^{64} +(-65.7013 + 37.9326i) q^{65} +(735.171 + 111.577i) q^{66} +(358.878 - 621.595i) q^{67} -1121.30 q^{68} +(-112.926 - 90.2445i) q^{69} +(-69.9311 - 223.587i) q^{70} -762.408i q^{71} +(-232.614 + 52.5932i) q^{72} +(-409.650 + 236.512i) q^{73} +1247.34i q^{74} +(-376.775 + 471.473i) q^{75} +(671.600 - 387.748i) q^{76} +(-608.259 - 136.318i) q^{77} +(-205.288 - 524.639i) q^{78} +(353.515 + 612.306i) q^{79} +(-64.0603 - 110.956i) q^{80} +(-658.092 + 313.617i) q^{81} +(-458.553 - 264.746i) q^{82} +(-406.242 + 703.632i) q^{83} +(958.537 - 147.330i) q^{84} +(165.516 + 286.681i) q^{85} +1288.27i q^{86} +(489.767 - 191.643i) q^{87} +297.290 q^{88} +(-393.311 + 681.235i) q^{89} +(231.788 + 250.833i) q^{90} +(140.978 + 450.740i) q^{91} +(-242.792 - 140.176i) q^{92} +(-323.796 + 126.700i) q^{93} +(-1351.84 - 780.486i) q^{94} +(-198.270 - 114.471i) q^{95} +(1227.93 - 480.482i) q^{96} +(1510.29 + 871.967i) q^{97} +(-1453.37 + 120.412i) q^{98} +(886.381 - 200.408i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.68213 2.12588i 1.30183 0.751612i 0.321112 0.947041i \(-0.395943\pi\)
0.980718 + 0.195430i \(0.0626101\pi\)
\(3\) 3.24389 4.05921i 0.624287 0.781195i
\(4\) 5.03872 8.72732i 0.629840 1.09092i
\(5\) −2.97507 −0.266099 −0.133049 0.991109i \(-0.542477\pi\)
−0.133049 + 0.991109i \(0.542477\pi\)
\(6\) 3.31505 21.8426i 0.225561 1.48620i
\(7\) −4.05014 + 18.0720i −0.218687 + 0.975795i
\(8\) 8.83278i 0.390357i
\(9\) −5.95432 26.3353i −0.220530 0.975380i
\(10\) −10.9546 + 6.32464i −0.346415 + 0.200003i
\(11\) 33.6576i 0.922558i 0.887255 + 0.461279i \(0.152609\pi\)
−0.887255 + 0.461279i \(0.847391\pi\)
\(12\) −19.0809 48.7637i −0.459016 1.17307i
\(13\) 22.0839 12.7502i 0.471152 0.272020i −0.245570 0.969379i \(-0.578975\pi\)
0.716722 + 0.697359i \(0.245642\pi\)
\(14\) 23.5057 + 75.1535i 0.448725 + 1.43469i
\(15\) −9.65082 + 12.0764i −0.166122 + 0.207875i
\(16\) 21.5324 + 37.2951i 0.336443 + 0.582736i
\(17\) −55.6342 96.3612i −0.793721 1.37477i −0.923648 0.383242i \(-0.874807\pi\)
0.129926 0.991524i \(-0.458526\pi\)
\(18\) −77.9102 84.3117i −1.02020 1.10403i
\(19\) 66.6439 + 38.4768i 0.804692 + 0.464589i 0.845109 0.534594i \(-0.179535\pi\)
−0.0404171 + 0.999183i \(0.512869\pi\)
\(20\) −14.9906 + 25.9644i −0.167600 + 0.290291i
\(21\) 60.2197 + 75.0639i 0.625762 + 0.780014i
\(22\) 71.5519 + 123.932i 0.693406 + 1.20101i
\(23\) 27.8198i 0.252210i −0.992017 0.126105i \(-0.959752\pi\)
0.992017 0.126105i \(-0.0402476\pi\)
\(24\) −35.8541 28.6526i −0.304945 0.243695i
\(25\) −116.149 −0.929192
\(26\) 54.2106 93.8955i 0.408906 0.708247i
\(27\) −126.215 61.2589i −0.899636 0.436640i
\(28\) 137.312 + 126.407i 0.926772 + 0.853164i
\(29\) 87.6545 + 50.6073i 0.561277 + 0.324053i 0.753658 0.657267i \(-0.228288\pi\)
−0.192381 + 0.981320i \(0.561621\pi\)
\(30\) −9.86252 + 64.9835i −0.0600214 + 0.395477i
\(31\) −57.9504 33.4577i −0.335748 0.193844i 0.322642 0.946521i \(-0.395429\pi\)
−0.658390 + 0.752677i \(0.728762\pi\)
\(32\) 219.765 + 126.881i 1.21404 + 0.700928i
\(33\) 136.623 + 109.182i 0.720698 + 0.575942i
\(34\) −409.704 236.543i −2.06658 1.19314i
\(35\) 12.0495 53.7654i 0.0581923 0.259658i
\(36\) −259.838 80.7307i −1.20296 0.373753i
\(37\) −146.685 + 254.067i −0.651755 + 1.12887i 0.330942 + 0.943651i \(0.392634\pi\)
−0.982697 + 0.185222i \(0.940700\pi\)
\(38\) 327.188 1.39676
\(39\) 19.8823 131.003i 0.0816339 0.537880i
\(40\) 26.2782i 0.103874i
\(41\) −62.2674 107.850i −0.237184 0.410814i 0.722721 0.691140i \(-0.242891\pi\)
−0.959905 + 0.280325i \(0.909558\pi\)
\(42\) 381.313 + 148.375i 1.40090 + 0.545115i
\(43\) −151.499 + 262.404i −0.537288 + 0.930610i 0.461761 + 0.887005i \(0.347218\pi\)
−0.999049 + 0.0436058i \(0.986115\pi\)
\(44\) 293.741 + 169.591i 1.00643 + 0.581064i
\(45\) 17.7145 + 78.3493i 0.0586828 + 0.259547i
\(46\) −59.1416 102.436i −0.189564 0.328335i
\(47\) −183.568 317.949i −0.569705 0.986758i −0.996595 0.0824542i \(-0.973724\pi\)
0.426890 0.904304i \(-0.359609\pi\)
\(48\) 221.237 + 33.5771i 0.665268 + 0.100967i
\(49\) −310.193 146.388i −0.904352 0.426788i
\(50\) −427.676 + 246.919i −1.20965 + 0.698391i
\(51\) −571.621 86.7548i −1.56947 0.238198i
\(52\) 256.978i 0.685316i
\(53\) 281.281 162.397i 0.728997 0.420887i −0.0890579 0.996026i \(-0.528386\pi\)
0.818055 + 0.575140i \(0.195052\pi\)
\(54\) −594.971 + 42.7554i −1.49936 + 0.107746i
\(55\) 100.134i 0.245491i
\(56\) 159.626 + 35.7740i 0.380909 + 0.0853661i
\(57\) 372.371 145.706i 0.865294 0.338584i
\(58\) 430.340 0.974249
\(59\) 388.659 673.177i 0.857612 1.48543i −0.0165884 0.999862i \(-0.505280\pi\)
0.874200 0.485565i \(-0.161386\pi\)
\(60\) 56.7672 + 145.076i 0.122143 + 0.312153i
\(61\) 162.171 93.6293i 0.340391 0.196525i −0.320054 0.947399i \(-0.603701\pi\)
0.660445 + 0.750875i \(0.270368\pi\)
\(62\) −284.508 −0.582783
\(63\) 500.046 0.944816i 0.999998 0.00188945i
\(64\) 734.421 1.43442
\(65\) −65.7013 + 37.9326i −0.125373 + 0.0723841i
\(66\) 735.171 + 111.577i 1.37111 + 0.208093i
\(67\) 358.878 621.595i 0.654387 1.13343i −0.327660 0.944796i \(-0.606260\pi\)
0.982047 0.188635i \(-0.0604065\pi\)
\(68\) −1121.30 −1.99967
\(69\) −112.926 90.2445i −0.197025 0.157452i
\(70\) −69.9311 223.587i −0.119405 0.381768i
\(71\) 762.408i 1.27438i −0.770705 0.637192i \(-0.780096\pi\)
0.770705 0.637192i \(-0.219904\pi\)
\(72\) −232.614 + 52.5932i −0.380747 + 0.0860857i
\(73\) −409.650 + 236.512i −0.656793 + 0.379200i −0.791054 0.611746i \(-0.790467\pi\)
0.134261 + 0.990946i \(0.457134\pi\)
\(74\) 1247.34i 1.95947i
\(75\) −376.775 + 471.473i −0.580083 + 0.725880i
\(76\) 671.600 387.748i 1.01365 0.585234i
\(77\) −608.259 136.318i −0.900228 0.201752i
\(78\) −205.288 524.639i −0.298004 0.761585i
\(79\) 353.515 + 612.306i 0.503462 + 0.872022i 0.999992 + 0.00400262i \(0.00127408\pi\)
−0.496530 + 0.868020i \(0.665393\pi\)
\(80\) −64.0603 110.956i −0.0895270 0.155065i
\(81\) −658.092 + 313.617i −0.902733 + 0.430202i
\(82\) −458.553 264.746i −0.617546 0.356540i
\(83\) −406.242 + 703.632i −0.537240 + 0.930526i 0.461812 + 0.886978i \(0.347200\pi\)
−0.999051 + 0.0435485i \(0.986134\pi\)
\(84\) 958.537 147.330i 1.24506 0.191370i
\(85\) 165.516 + 286.681i 0.211208 + 0.365823i
\(86\) 1288.27i 1.61533i
\(87\) 489.767 191.643i 0.603547 0.236164i
\(88\) 297.290 0.360127
\(89\) −393.311 + 681.235i −0.468437 + 0.811356i −0.999349 0.0360703i \(-0.988516\pi\)
0.530912 + 0.847427i \(0.321849\pi\)
\(90\) 231.788 + 250.833i 0.271474 + 0.293780i
\(91\) 140.978 + 450.740i 0.162401 + 0.519235i
\(92\) −242.792 140.176i −0.275140 0.158852i
\(93\) −323.796 + 126.700i −0.361034 + 0.141270i
\(94\) −1351.84 780.486i −1.48332 0.856394i
\(95\) −198.270 114.471i −0.214127 0.123627i
\(96\) 1227.93 480.482i 1.30547 0.510823i
\(97\) 1510.29 + 871.967i 1.58090 + 0.912731i 0.994729 + 0.102540i \(0.0326970\pi\)
0.586167 + 0.810190i \(0.300636\pi\)
\(98\) −1453.37 + 120.412i −1.49809 + 0.124117i
\(99\) 886.381 200.408i 0.899845 0.203452i
\(100\) −585.242 + 1013.67i −0.585242 + 1.01367i
\(101\) 1046.74 1.03123 0.515614 0.856821i \(-0.327564\pi\)
0.515614 + 0.856821i \(0.327564\pi\)
\(102\) −2289.21 + 895.755i −2.22221 + 0.869539i
\(103\) 849.490i 0.812648i 0.913729 + 0.406324i \(0.133190\pi\)
−0.913729 + 0.406324i \(0.866810\pi\)
\(104\) −112.619 195.062i −0.106185 0.183918i
\(105\) −179.158 223.321i −0.166514 0.207561i
\(106\) 690.474 1195.94i 0.632687 1.09585i
\(107\) 235.192 + 135.788i 0.212494 + 0.122684i 0.602470 0.798141i \(-0.294183\pi\)
−0.389976 + 0.920825i \(0.627517\pi\)
\(108\) −1170.59 + 792.856i −1.04296 + 0.706413i
\(109\) −812.303 1406.95i −0.713803 1.23634i −0.963419 0.267998i \(-0.913638\pi\)
0.249616 0.968345i \(-0.419695\pi\)
\(110\) −212.872 368.705i −0.184514 0.319588i
\(111\) 555.477 + 1419.59i 0.474987 + 1.21389i
\(112\) −761.206 + 238.082i −0.642207 + 0.200862i
\(113\) −1403.77 + 810.466i −1.16863 + 0.674710i −0.953357 0.301843i \(-0.902398\pi\)
−0.215275 + 0.976554i \(0.569065\pi\)
\(114\) 1061.36 1328.13i 0.871981 1.09114i
\(115\) 82.7660i 0.0671128i
\(116\) 883.333 509.993i 0.707029 0.408204i
\(117\) −467.274 505.667i −0.369226 0.399564i
\(118\) 3304.97i 2.57836i
\(119\) 1966.76 615.143i 1.51507 0.473866i
\(120\) 106.668 + 85.2435i 0.0811455 + 0.0648469i
\(121\) 198.167 0.148886
\(122\) 398.089 689.511i 0.295421 0.511683i
\(123\) −639.775 97.0985i −0.468997 0.0711795i
\(124\) −583.992 + 337.168i −0.422935 + 0.244182i
\(125\) 717.436 0.513355
\(126\) 1839.23 1066.52i 1.30041 0.754070i
\(127\) 2812.64 1.96521 0.982605 0.185710i \(-0.0594585\pi\)
0.982605 + 0.185710i \(0.0594585\pi\)
\(128\) 946.111 546.238i 0.653322 0.377196i
\(129\) 573.706 + 1466.18i 0.391566 + 1.00069i
\(130\) −161.280 + 279.346i −0.108809 + 0.188463i
\(131\) 1011.28 0.674473 0.337236 0.941420i \(-0.390508\pi\)
0.337236 + 0.941420i \(0.390508\pi\)
\(132\) 1641.27 642.218i 1.08223 0.423469i
\(133\) −965.270 + 1048.55i −0.629320 + 0.683615i
\(134\) 3051.72i 1.96738i
\(135\) 375.500 + 182.250i 0.239392 + 0.116189i
\(136\) −851.137 + 491.404i −0.536650 + 0.309835i
\(137\) 2509.41i 1.56492i −0.622703 0.782459i \(-0.713965\pi\)
0.622703 0.782459i \(-0.286035\pi\)
\(138\) −607.659 92.2241i −0.374836 0.0568887i
\(139\) −1711.04 + 987.869i −1.04409 + 0.602805i −0.920989 0.389589i \(-0.872617\pi\)
−0.123101 + 0.992394i \(0.539284\pi\)
\(140\) −408.514 376.069i −0.246613 0.227026i
\(141\) −1886.10 286.252i −1.12651 0.170970i
\(142\) −1620.79 2807.29i −0.957842 1.65903i
\(143\) 429.139 + 743.291i 0.250954 + 0.434665i
\(144\) 853.966 789.127i 0.494193 0.456671i
\(145\) −260.778 150.561i −0.149355 0.0862301i
\(146\) −1005.59 + 1741.73i −0.570022 + 0.987307i
\(147\) −1600.45 + 784.269i −0.897980 + 0.440037i
\(148\) 1478.21 + 2560.34i 0.821003 + 1.42202i
\(149\) 541.339i 0.297639i 0.988864 + 0.148819i \(0.0475473\pi\)
−0.988864 + 0.148819i \(0.952453\pi\)
\(150\) −385.040 + 2537.00i −0.209589 + 1.38097i
\(151\) 2064.71 1.11274 0.556371 0.830934i \(-0.312193\pi\)
0.556371 + 0.830934i \(0.312193\pi\)
\(152\) 339.857 588.650i 0.181356 0.314117i
\(153\) −2206.43 + 2038.91i −1.16588 + 1.07736i
\(154\) −2529.48 + 791.144i −1.32358 + 0.413975i
\(155\) 172.407 + 99.5390i 0.0893421 + 0.0515817i
\(156\) −1043.13 833.609i −0.535365 0.427834i
\(157\) −1623.15 937.128i −0.825107 0.476375i 0.0270677 0.999634i \(-0.491383\pi\)
−0.852174 + 0.523258i \(0.824716\pi\)
\(158\) 2603.38 + 1503.06i 1.31084 + 0.756816i
\(159\) 253.239 1668.58i 0.126309 0.832243i
\(160\) −653.817 377.482i −0.323055 0.186516i
\(161\) 502.759 + 112.674i 0.246105 + 0.0551551i
\(162\) −1756.47 + 2553.80i −0.851859 + 1.23855i
\(163\) 375.825 650.948i 0.180594 0.312799i −0.761489 0.648178i \(-0.775531\pi\)
0.942083 + 0.335380i \(0.108865\pi\)
\(164\) −1254.99 −0.597551
\(165\) −406.464 324.823i −0.191777 0.153257i
\(166\) 3454.49i 1.61518i
\(167\) −768.357 1330.83i −0.356032 0.616665i 0.631262 0.775569i \(-0.282537\pi\)
−0.987294 + 0.158905i \(0.949204\pi\)
\(168\) 663.023 531.907i 0.304484 0.244271i
\(169\) −773.367 + 1339.51i −0.352010 + 0.609700i
\(170\) 1218.90 + 703.732i 0.549914 + 0.317493i
\(171\) 616.479 1984.19i 0.275692 0.887337i
\(172\) 1526.72 + 2644.36i 0.676811 + 1.17227i
\(173\) 1004.57 + 1739.97i 0.441480 + 0.764667i 0.997800 0.0663021i \(-0.0211201\pi\)
−0.556319 + 0.830969i \(0.687787\pi\)
\(174\) 1395.98 1746.84i 0.608211 0.761078i
\(175\) 470.420 2099.04i 0.203202 0.906700i
\(176\) −1255.26 + 724.727i −0.537608 + 0.310388i
\(177\) −1471.80 3761.36i −0.625012 1.59730i
\(178\) 3344.53i 1.40833i
\(179\) 635.487 366.899i 0.265355 0.153203i −0.361420 0.932403i \(-0.617708\pi\)
0.626775 + 0.779200i \(0.284375\pi\)
\(180\) 773.038 + 240.180i 0.320105 + 0.0994553i
\(181\) 14.0932i 0.00578751i 0.999996 + 0.00289375i \(0.000921111\pi\)
−0.999996 + 0.00289375i \(0.999079\pi\)
\(182\) 1477.32 + 1359.98i 0.601681 + 0.553893i
\(183\) 146.004 962.008i 0.0589776 0.388599i
\(184\) −245.726 −0.0984521
\(185\) 436.400 755.867i 0.173431 0.300392i
\(186\) −922.913 + 1154.88i −0.363824 + 0.455267i
\(187\) 3243.28 1872.51i 1.26830 0.732254i
\(188\) −3699.79 −1.43529
\(189\) 1618.26 2032.86i 0.622810 0.782373i
\(190\) −973.409 −0.371677
\(191\) −2374.42 + 1370.87i −0.899512 + 0.519333i −0.877042 0.480414i \(-0.840486\pi\)
−0.0224699 + 0.999748i \(0.507153\pi\)
\(192\) 2382.38 2981.17i 0.895487 1.12056i
\(193\) −1138.20 + 1971.42i −0.424506 + 0.735266i −0.996374 0.0850798i \(-0.972885\pi\)
0.571868 + 0.820345i \(0.306219\pi\)
\(194\) 7414.79 2.74408
\(195\) −59.1514 + 389.744i −0.0217227 + 0.143129i
\(196\) −2840.55 + 1969.54i −1.03519 + 0.717763i
\(197\) 674.789i 0.244044i 0.992527 + 0.122022i \(0.0389379\pi\)
−0.992527 + 0.122022i \(0.961062\pi\)
\(198\) 2837.73 2622.27i 1.01853 0.941194i
\(199\) 2293.61 1324.22i 0.817033 0.471714i −0.0323593 0.999476i \(-0.510302\pi\)
0.849392 + 0.527762i \(0.176969\pi\)
\(200\) 1025.92i 0.362717i
\(201\) −1359.02 3473.15i −0.476905 1.21879i
\(202\) 3854.22 2225.23i 1.34248 0.775083i
\(203\) −1269.59 + 1379.12i −0.438954 + 0.476825i
\(204\) −3637.38 + 4551.59i −1.24837 + 1.56213i
\(205\) 185.250 + 320.862i 0.0631143 + 0.109317i
\(206\) 1805.91 + 3127.93i 0.610795 + 1.05793i
\(207\) −732.642 + 165.648i −0.246001 + 0.0556200i
\(208\) 951.037 + 549.082i 0.317032 + 0.183038i
\(209\) −1295.04 + 2243.07i −0.428611 + 0.742376i
\(210\) −1134.44 441.428i −0.372778 0.145054i
\(211\) 531.302 + 920.242i 0.173348 + 0.300247i 0.939588 0.342307i \(-0.111208\pi\)
−0.766241 + 0.642554i \(0.777875\pi\)
\(212\) 3273.10i 1.06037i
\(213\) −3094.77 2473.17i −0.995542 0.795582i
\(214\) 1154.68 0.368842
\(215\) 450.721 780.671i 0.142972 0.247634i
\(216\) −541.087 + 1114.83i −0.170446 + 0.351180i
\(217\) 839.354 911.770i 0.262576 0.285230i
\(218\) −5982.01 3453.72i −1.85850 1.07301i
\(219\) −368.811 + 2430.07i −0.113799 + 0.749813i
\(220\) −873.899 504.546i −0.267810 0.154620i
\(221\) −2457.24 1418.69i −0.747927 0.431816i
\(222\) 5063.22 + 4046.24i 1.53073 + 1.22327i
\(223\) −2567.87 1482.56i −0.771108 0.445199i 0.0621620 0.998066i \(-0.480200\pi\)
−0.833270 + 0.552867i \(0.813534\pi\)
\(224\) −3183.08 + 3457.70i −0.949457 + 1.03137i
\(225\) 691.588 + 3058.81i 0.204915 + 0.906315i
\(226\) −3445.91 + 5968.48i −1.01424 + 1.75671i
\(227\) −4381.95 −1.28123 −0.640617 0.767860i \(-0.721321\pi\)
−0.640617 + 0.767860i \(0.721321\pi\)
\(228\) 604.647 3983.98i 0.175630 1.15722i
\(229\) 3369.93i 0.972452i −0.873833 0.486226i \(-0.838373\pi\)
0.873833 0.486226i \(-0.161627\pi\)
\(230\) 175.950 + 304.755i 0.0504427 + 0.0873694i
\(231\) −2526.47 + 2026.85i −0.719608 + 0.577302i
\(232\) 447.003 774.233i 0.126497 0.219099i
\(233\) 1010.94 + 583.664i 0.284243 + 0.164108i 0.635343 0.772230i \(-0.280859\pi\)
−0.351100 + 0.936338i \(0.614192\pi\)
\(234\) −2795.55 868.566i −0.780986 0.242649i
\(235\) 546.128 + 945.921i 0.151598 + 0.262575i
\(236\) −3916.69 6783.91i −1.08032 1.87116i
\(237\) 3632.24 + 551.264i 0.995525 + 0.151090i
\(238\) 5934.16 6446.14i 1.61620 1.75563i
\(239\) 4756.63 2746.24i 1.28737 0.743262i 0.309184 0.951002i \(-0.399944\pi\)
0.978184 + 0.207740i \(0.0666109\pi\)
\(240\) −658.197 99.8943i −0.177027 0.0268673i
\(241\) 2341.14i 0.625752i 0.949794 + 0.312876i \(0.101292\pi\)
−0.949794 + 0.312876i \(0.898708\pi\)
\(242\) 729.677 421.279i 0.193824 0.111904i
\(243\) −861.742 + 3688.67i −0.227493 + 0.973780i
\(244\) 1887.09i 0.495117i
\(245\) 922.846 + 435.515i 0.240647 + 0.113568i
\(246\) −2562.16 + 1002.56i −0.664053 + 0.259840i
\(247\) 1962.34 0.505510
\(248\) −295.524 + 511.863i −0.0756686 + 0.131062i
\(249\) 1538.38 + 3931.53i 0.391530 + 1.00060i
\(250\) 2641.69 1525.18i 0.668301 0.385844i
\(251\) −1600.54 −0.402492 −0.201246 0.979541i \(-0.564499\pi\)
−0.201246 + 0.979541i \(0.564499\pi\)
\(252\) 2511.35 4368.82i 0.627778 1.09210i
\(253\) 936.348 0.232679
\(254\) 10356.5 5979.33i 2.55837 1.47707i
\(255\) 1700.61 + 258.102i 0.417634 + 0.0633841i
\(256\) −615.212 + 1065.58i −0.150198 + 0.260151i
\(257\) −3263.97 −0.792221 −0.396111 0.918203i \(-0.629640\pi\)
−0.396111 + 0.918203i \(0.629640\pi\)
\(258\) 5229.37 + 4179.02i 1.26189 + 1.00843i
\(259\) −3997.39 3679.90i −0.959018 0.882849i
\(260\) 764.528i 0.182362i
\(261\) 810.835 2609.74i 0.192297 0.618922i
\(262\) 3723.66 2149.86i 0.878049 0.506942i
\(263\) 131.475i 0.0308254i 0.999881 + 0.0154127i \(0.00490621\pi\)
−0.999881 + 0.0154127i \(0.995094\pi\)
\(264\) 964.377 1206.76i 0.224823 0.281330i
\(265\) −836.830 + 483.144i −0.193985 + 0.111997i
\(266\) −1325.16 + 5912.94i −0.305454 + 1.36295i
\(267\) 1489.41 + 3806.38i 0.341388 + 0.872460i
\(268\) −3616.57 6264.08i −0.824318 1.42776i
\(269\) 1332.45 + 2307.88i 0.302011 + 0.523099i 0.976591 0.215103i \(-0.0690086\pi\)
−0.674580 + 0.738202i \(0.735675\pi\)
\(270\) 1770.08 127.201i 0.398977 0.0286710i
\(271\) −2504.76 1446.13i −0.561453 0.324155i 0.192276 0.981341i \(-0.438413\pi\)
−0.753728 + 0.657186i \(0.771747\pi\)
\(272\) 2395.87 4149.77i 0.534084 0.925061i
\(273\) 2286.96 + 889.895i 0.507008 + 0.197285i
\(274\) −5334.71 9239.99i −1.17621 2.03726i
\(275\) 3909.29i 0.857234i
\(276\) −1356.60 + 530.828i −0.295861 + 0.115768i
\(277\) −6346.89 −1.37671 −0.688353 0.725376i \(-0.741666\pi\)
−0.688353 + 0.725376i \(0.741666\pi\)
\(278\) −4200.18 + 7274.92i −0.906151 + 1.56950i
\(279\) −536.061 + 1725.36i −0.115029 + 0.370231i
\(280\) −474.898 106.430i −0.101359 0.0227158i
\(281\) 4680.87 + 2702.50i 0.993726 + 0.573728i 0.906386 0.422451i \(-0.138830\pi\)
0.0873400 + 0.996179i \(0.472163\pi\)
\(282\) −7553.38 + 2955.59i −1.59503 + 0.624124i
\(283\) 838.390 + 484.045i 0.176103 + 0.101673i 0.585460 0.810701i \(-0.300914\pi\)
−0.409357 + 0.912374i \(0.634247\pi\)
\(284\) −6653.78 3841.56i −1.39024 0.802658i
\(285\) −1107.83 + 433.487i −0.230253 + 0.0900967i
\(286\) 3160.29 + 1824.60i 0.653399 + 0.377240i
\(287\) 2201.26 688.486i 0.452740 0.141603i
\(288\) 2032.90 6543.07i 0.415937 1.33873i
\(289\) −3733.82 + 6467.16i −0.759987 + 1.31634i
\(290\) −1280.29 −0.259246
\(291\) 8438.72 3302.02i 1.69995 0.665181i
\(292\) 4766.86i 0.955341i
\(293\) 1057.46 + 1831.57i 0.210844 + 0.365192i 0.951979 0.306164i \(-0.0990456\pi\)
−0.741135 + 0.671356i \(0.765712\pi\)
\(294\) −4225.81 + 6290.15i −0.838280 + 1.24778i
\(295\) −1156.29 + 2002.75i −0.228209 + 0.395270i
\(296\) 2244.11 + 1295.64i 0.440664 + 0.254417i
\(297\) 2061.83 4248.11i 0.402826 0.829967i
\(298\) 1150.82 + 1993.28i 0.223709 + 0.387475i
\(299\) −354.707 614.371i −0.0686061 0.118829i
\(300\) 2216.23 + 5663.85i 0.426514 + 1.09001i
\(301\) −4128.57 3800.66i −0.790587 0.727796i
\(302\) 7602.54 4389.33i 1.44860 0.836350i
\(303\) 3395.50 4248.92i 0.643783 0.805590i
\(304\) 3313.99i 0.625231i
\(305\) −482.470 + 278.554i −0.0905775 + 0.0522950i
\(306\) −3789.91 + 12198.1i −0.708022 + 2.27882i
\(307\) 2503.96i 0.465500i −0.972537 0.232750i \(-0.925228\pi\)
0.972537 0.232750i \(-0.0747724\pi\)
\(308\) −4254.54 + 4621.60i −0.787094 + 0.855001i
\(309\) 3448.25 + 2755.65i 0.634836 + 0.507326i
\(310\) 846.431 0.155078
\(311\) −4633.86 + 8026.08i −0.844894 + 1.46340i 0.0408192 + 0.999167i \(0.487003\pi\)
−0.885713 + 0.464233i \(0.846330\pi\)
\(312\) −1157.12 175.616i −0.209965 0.0318664i
\(313\) 5500.16 3175.52i 0.993250 0.573453i 0.0870057 0.996208i \(-0.472270\pi\)
0.906244 + 0.422755i \(0.138937\pi\)
\(314\) −7968.88 −1.43220
\(315\) −1487.67 + 2.81090i −0.266098 + 0.000502781i
\(316\) 7125.05 1.26840
\(317\) −1749.23 + 1009.92i −0.309926 + 0.178936i −0.646893 0.762581i \(-0.723932\pi\)
0.336968 + 0.941516i \(0.390599\pi\)
\(318\) −2614.73 6682.27i −0.461091 1.17837i
\(319\) −1703.32 + 2950.24i −0.298958 + 0.517811i
\(320\) −2184.95 −0.381696
\(321\) 1314.13 514.211i 0.228497 0.0894096i
\(322\) 2090.76 653.924i 0.361842 0.113173i
\(323\) 8562.51i 1.47502i
\(324\) −578.903 + 7323.61i −0.0992632 + 1.25576i
\(325\) −2565.02 + 1480.92i −0.437791 + 0.252758i
\(326\) 3195.83i 0.542947i
\(327\) −8346.13 1266.69i −1.41144 0.214214i
\(328\) −952.618 + 549.994i −0.160364 + 0.0925864i
\(329\) 6489.44 2029.70i 1.08746 0.340124i
\(330\) −2187.19 331.949i −0.364850 0.0553732i
\(331\) 2944.01 + 5099.17i 0.488874 + 0.846754i 0.999918 0.0128004i \(-0.00407460\pi\)
−0.511044 + 0.859554i \(0.670741\pi\)
\(332\) 4093.88 + 7090.82i 0.676750 + 1.17217i
\(333\) 7564.33 + 2350.20i 1.24481 + 0.386758i
\(334\) −5658.38 3266.87i −0.926985 0.535195i
\(335\) −1067.69 + 1849.29i −0.174131 + 0.301604i
\(336\) −1502.85 + 3862.20i −0.244009 + 0.627085i
\(337\) 621.055 + 1075.70i 0.100389 + 0.173878i 0.911845 0.410535i \(-0.134658\pi\)
−0.811456 + 0.584413i \(0.801325\pi\)
\(338\) 6576.34i 1.05830i
\(339\) −1263.82 + 8327.25i −0.202482 + 1.33414i
\(340\) 3335.95 0.532109
\(341\) 1126.10 1950.47i 0.178833 0.309747i
\(342\) −1948.19 8616.59i −0.308029 1.36237i
\(343\) 3901.85 5012.90i 0.614227 0.789129i
\(344\) 2317.76 + 1338.16i 0.363271 + 0.209734i
\(345\) 335.964 + 268.484i 0.0524281 + 0.0418976i
\(346\) 7397.92 + 4271.19i 1.14946 + 0.663644i
\(347\) −4680.20 2702.11i −0.724052 0.418032i 0.0921900 0.995741i \(-0.470613\pi\)
−0.816242 + 0.577710i \(0.803947\pi\)
\(348\) 795.272 5239.99i 0.122503 0.807164i
\(349\) −653.852 377.501i −0.100286 0.0579002i 0.449018 0.893523i \(-0.351774\pi\)
−0.549304 + 0.835622i \(0.685107\pi\)
\(350\) −2730.16 8729.00i −0.416952 1.33310i
\(351\) −3568.39 + 256.430i −0.542640 + 0.0389949i
\(352\) −4270.52 + 7396.76i −0.646647 + 1.12002i
\(353\) −9168.28 −1.38238 −0.691188 0.722675i \(-0.742912\pi\)
−0.691188 + 0.722675i \(0.742912\pi\)
\(354\) −13415.6 10721.0i −2.01421 1.60964i
\(355\) 2268.22i 0.339112i
\(356\) 3963.57 + 6865.10i 0.590081 + 1.02205i
\(357\) 3882.98 9978.96i 0.575655 1.47939i
\(358\) 1559.96 2701.94i 0.230298 0.398888i
\(359\) −6409.04 3700.26i −0.942218 0.543990i −0.0515634 0.998670i \(-0.516420\pi\)
−0.890655 + 0.454680i \(0.849754\pi\)
\(360\) 692.042 156.469i 0.101316 0.0229073i
\(361\) −468.564 811.577i −0.0683138 0.118323i
\(362\) 29.9604 + 51.8930i 0.00434996 + 0.00753435i
\(363\) 642.833 804.401i 0.0929476 0.116309i
\(364\) 4644.10 + 1040.80i 0.668728 + 0.149870i
\(365\) 1218.74 703.639i 0.174772 0.100905i
\(366\) −1507.51 3852.63i −0.215297 0.550219i
\(367\) 2187.54i 0.311141i 0.987825 + 0.155571i \(0.0497216\pi\)
−0.987825 + 0.155571i \(0.950278\pi\)
\(368\) 1037.54 599.026i 0.146972 0.0848543i
\(369\) −2469.51 + 2282.00i −0.348394 + 0.321941i
\(370\) 3710.93i 0.521411i
\(371\) 1795.62 + 5741.03i 0.251277 + 0.803395i
\(372\) −525.772 + 3464.28i −0.0732796 + 0.482835i
\(373\) 9692.28 1.34543 0.672717 0.739899i \(-0.265127\pi\)
0.672717 + 0.739899i \(0.265127\pi\)
\(374\) 7961.46 13789.7i 1.10074 1.90654i
\(375\) 2327.28 2912.22i 0.320481 0.401030i
\(376\) −2808.37 + 1621.41i −0.385188 + 0.222388i
\(377\) 2581.01 0.352596
\(378\) 1637.04 10925.5i 0.222752 1.48663i
\(379\) −820.518 −0.111206 −0.0556031 0.998453i \(-0.517708\pi\)
−0.0556031 + 0.998453i \(0.517708\pi\)
\(380\) −1998.06 + 1153.58i −0.269732 + 0.155730i
\(381\) 9123.91 11417.1i 1.22686 1.53521i
\(382\) −5828.61 + 10095.4i −0.780674 + 1.35217i
\(383\) 4380.73 0.584451 0.292226 0.956349i \(-0.405604\pi\)
0.292226 + 0.956349i \(0.405604\pi\)
\(384\) 851.792 5612.40i 0.113197 0.745850i
\(385\) 1809.61 + 405.556i 0.239549 + 0.0536858i
\(386\) 9678.72i 1.27625i
\(387\) 7812.55 + 2427.33i 1.02619 + 0.318832i
\(388\) 15219.9 8787.20i 1.99142 1.14975i
\(389\) 4234.63i 0.551940i 0.961166 + 0.275970i \(0.0889990\pi\)
−0.961166 + 0.275970i \(0.911001\pi\)
\(390\) 610.746 + 1560.84i 0.0792983 + 0.202657i
\(391\) −2680.75 + 1547.73i −0.346730 + 0.200185i
\(392\) −1293.01 + 2739.86i −0.166600 + 0.353020i
\(393\) 3280.48 4104.99i 0.421065 0.526895i
\(394\) 1434.52 + 2484.66i 0.183426 + 0.317704i
\(395\) −1051.73 1821.65i −0.133971 0.232044i
\(396\) 2717.20 8745.53i 0.344809 1.10980i
\(397\) −12000.8 6928.65i −1.51713 0.875916i −0.999797 0.0201327i \(-0.993591\pi\)
−0.517334 0.855784i \(-0.673076\pi\)
\(398\) 5630.24 9751.86i 0.709092 1.22818i
\(399\) 1125.05 + 7319.61i 0.141160 + 0.918393i
\(400\) −2500.96 4331.79i −0.312620 0.541474i
\(401\) 3811.86i 0.474701i 0.971424 + 0.237351i \(0.0762791\pi\)
−0.971424 + 0.237351i \(0.923721\pi\)
\(402\) −12387.6 9899.46i −1.53691 1.22821i
\(403\) −1706.36 −0.210918
\(404\) 5274.21 9135.20i 0.649509 1.12498i
\(405\) 1957.87 933.034i 0.240216 0.114476i
\(406\) −1742.94 + 7777.10i −0.213056 + 0.950667i
\(407\) −8551.27 4937.08i −1.04145 0.601282i
\(408\) −766.286 + 5049.00i −0.0929823 + 0.612654i
\(409\) −10108.2 5835.97i −1.22205 0.705550i −0.256694 0.966493i \(-0.582633\pi\)
−0.965354 + 0.260943i \(0.915967\pi\)
\(410\) 1364.23 + 787.638i 0.164328 + 0.0948748i
\(411\) −10186.2 8140.27i −1.22251 0.976958i
\(412\) 7413.77 + 4280.34i 0.886530 + 0.511838i
\(413\) 10591.5 + 9750.30i 1.26192 + 1.16170i
\(414\) −2345.54 + 2167.45i −0.278446 + 0.257305i
\(415\) 1208.60 2093.36i 0.142959 0.247612i
\(416\) 6471.03 0.762665
\(417\) −1540.46 + 10150.0i −0.180904 + 1.19196i
\(418\) 11012.4i 1.28860i
\(419\) −1542.12 2671.02i −0.179803 0.311427i 0.762010 0.647565i \(-0.224213\pi\)
−0.941813 + 0.336138i \(0.890879\pi\)
\(420\) −2851.72 + 438.318i −0.331308 + 0.0509232i
\(421\) −3318.59 + 5747.97i −0.384176 + 0.665413i −0.991655 0.128923i \(-0.958848\pi\)
0.607478 + 0.794336i \(0.292181\pi\)
\(422\) 3912.65 + 2258.97i 0.451338 + 0.260580i
\(423\) −7280.25 + 6727.48i −0.836827 + 0.773289i
\(424\) −1434.42 2484.49i −0.164296 0.284569i
\(425\) 6461.85 + 11192.2i 0.737519 + 1.27742i
\(426\) −16653.0 2527.42i −1.89399 0.287451i
\(427\) 1035.25 + 3309.96i 0.117329 + 0.375129i
\(428\) 2370.14 1368.40i 0.267675 0.154542i
\(429\) 4409.26 + 669.191i 0.496226 + 0.0753120i
\(430\) 3832.71i 0.429836i
\(431\) 11162.7 6444.81i 1.24754 0.720268i 0.276923 0.960892i \(-0.410685\pi\)
0.970618 + 0.240624i \(0.0773520\pi\)
\(432\) −433.056 6026.27i −0.0482302 0.671155i
\(433\) 3882.87i 0.430945i 0.976510 + 0.215472i \(0.0691291\pi\)
−0.976510 + 0.215472i \(0.930871\pi\)
\(434\) 1152.30 5141.62i 0.127447 0.568676i
\(435\) −1457.09 + 570.152i −0.160603 + 0.0628429i
\(436\) −16371.9 −1.79833
\(437\) 1070.42 1854.02i 0.117174 0.202951i
\(438\) 3808.03 + 9731.89i 0.415422 + 1.06166i
\(439\) 3834.56 2213.88i 0.416887 0.240690i −0.276857 0.960911i \(-0.589293\pi\)
0.693745 + 0.720221i \(0.255960\pi\)
\(440\) −884.459 −0.0958294
\(441\) −2008.18 + 9040.65i −0.216843 + 0.976206i
\(442\) −12063.8 −1.29823
\(443\) −7319.03 + 4225.64i −0.784961 + 0.453197i −0.838186 0.545385i \(-0.816383\pi\)
0.0532246 + 0.998583i \(0.483050\pi\)
\(444\) 15188.1 + 2305.10i 1.62342 + 0.246385i
\(445\) 1170.13 2026.72i 0.124650 0.215901i
\(446\) −12607.0 −1.33847
\(447\) 2197.41 + 1756.04i 0.232514 + 0.185812i
\(448\) −2974.51 + 13272.4i −0.313688 + 1.39970i
\(449\) 6114.22i 0.642646i 0.946970 + 0.321323i \(0.104127\pi\)
−0.946970 + 0.321323i \(0.895873\pi\)
\(450\) 9049.18 + 9792.71i 0.947961 + 1.02585i
\(451\) 3629.98 2095.77i 0.379000 0.218816i
\(452\) 16334.8i 1.69984i
\(453\) 6697.71 8381.10i 0.694671 0.869268i
\(454\) −16134.9 + 9315.49i −1.66795 + 0.962991i
\(455\) −419.418 1340.98i −0.0432146 0.138168i
\(456\) −1286.99 3289.07i −0.132169 0.337774i
\(457\) −8336.20 14438.7i −0.853285 1.47793i −0.878227 0.478244i \(-0.841274\pi\)
0.0249425 0.999689i \(-0.492060\pi\)
\(458\) −7164.07 12408.5i −0.730906 1.26597i
\(459\) 1118.91 + 15570.4i 0.113782 + 1.58336i
\(460\) 722.325 + 417.035i 0.0732143 + 0.0422703i
\(461\) 6164.70 10677.6i 0.622817 1.07875i −0.366142 0.930559i \(-0.619321\pi\)
0.988959 0.148192i \(-0.0473452\pi\)
\(462\) −4993.96 + 12834.1i −0.502900 + 1.29242i
\(463\) 5479.45 + 9490.69i 0.550004 + 0.952635i 0.998274 + 0.0587364i \(0.0187071\pi\)
−0.448270 + 0.893898i \(0.647960\pi\)
\(464\) 4358.78i 0.436102i
\(465\) 963.318 376.940i 0.0960705 0.0375918i
\(466\) 4963.20 0.493381
\(467\) −652.506 + 1130.17i −0.0646561 + 0.111988i −0.896541 0.442960i \(-0.853928\pi\)
0.831885 + 0.554948i \(0.187262\pi\)
\(468\) −6767.58 + 1530.13i −0.668443 + 0.151133i
\(469\) 9779.94 + 9003.18i 0.962890 + 0.886414i
\(470\) 4021.83 + 2322.00i 0.394709 + 0.227885i
\(471\) −9069.33 + 3548.77i −0.887246 + 0.347174i
\(472\) −5946.03 3432.94i −0.579848 0.334775i
\(473\) −8831.89 5099.09i −0.858542 0.495680i
\(474\) 14546.3 5691.88i 1.40956 0.551554i
\(475\) −7740.61 4469.05i −0.747713 0.431692i
\(476\) 4541.42 20264.1i 0.437302 1.95127i
\(477\) −5951.61 6440.63i −0.571291 0.618231i
\(478\) 11676.4 20224.0i 1.11729 1.93520i
\(479\) 6071.45 0.579147 0.289574 0.957156i \(-0.406487\pi\)
0.289574 + 0.957156i \(0.406487\pi\)
\(480\) −3653.19 + 1429.47i −0.347384 + 0.135929i
\(481\) 7481.05i 0.709161i
\(482\) 4976.99 + 8620.40i 0.470323 + 0.814623i
\(483\) 2088.26 1675.30i 0.196727 0.157824i
\(484\) 998.509 1729.47i 0.0937743 0.162422i
\(485\) −4493.23 2594.17i −0.420674 0.242876i
\(486\) 4668.62 + 15414.1i 0.435747 + 1.43868i
\(487\) 1357.44 + 2351.16i 0.126307 + 0.218771i 0.922243 0.386610i \(-0.126354\pi\)
−0.795936 + 0.605381i \(0.793021\pi\)
\(488\) −827.007 1432.42i −0.0767149 0.132874i
\(489\) −1423.20 3637.16i −0.131614 0.336356i
\(490\) 4323.89 358.234i 0.398640 0.0330272i
\(491\) −8766.69 + 5061.45i −0.805774 + 0.465214i −0.845486 0.533997i \(-0.820689\pi\)
0.0397122 + 0.999211i \(0.487356\pi\)
\(492\) −4071.06 + 5094.27i −0.373044 + 0.466804i
\(493\) 11262.0i 1.02883i
\(494\) 7225.60 4171.70i 0.658088 0.379947i
\(495\) −2637.05 + 596.229i −0.239448 + 0.0541384i
\(496\) 2881.69i 0.260870i
\(497\) 13778.2 + 3087.86i 1.24354 + 0.278691i
\(498\) 14022.5 + 11206.0i 1.26177 + 1.00834i
\(499\) 8993.59 0.806830 0.403415 0.915017i \(-0.367823\pi\)
0.403415 + 0.915017i \(0.367823\pi\)
\(500\) 3614.96 6261.29i 0.323332 0.560027i
\(501\) −7894.60 1198.16i −0.704001 0.106846i
\(502\) −5893.41 + 3402.56i −0.523975 + 0.302517i
\(503\) −18029.3 −1.59818 −0.799091 0.601210i \(-0.794685\pi\)
−0.799091 + 0.601210i \(0.794685\pi\)
\(504\) −8.34535 4416.80i −0.000737562 0.390357i
\(505\) −3114.11 −0.274408
\(506\) 3447.75 1990.56i 0.302908 0.174884i
\(507\) 2928.63 + 7484.49i 0.256539 + 0.655617i
\(508\) 14172.1 24546.8i 1.23777 2.14388i
\(509\) 2837.22 0.247068 0.123534 0.992340i \(-0.460577\pi\)
0.123534 + 0.992340i \(0.460577\pi\)
\(510\) 6810.58 2664.94i 0.591328 0.231383i
\(511\) −2615.09 8361.09i −0.226389 0.723822i
\(512\) 13971.3i 1.20595i
\(513\) −6054.44 8938.90i −0.521072 0.769322i
\(514\) −12018.4 + 6938.80i −1.03134 + 0.595443i
\(515\) 2527.29i 0.216244i
\(516\) 15686.5 + 2380.74i 1.33830 + 0.203113i
\(517\) 10701.4 6178.45i 0.910342 0.525586i
\(518\) −22541.9 5051.91i −1.91204 0.428510i
\(519\) 10321.6 + 1566.51i 0.872964 + 0.132490i
\(520\) 335.051 + 580.325i 0.0282557 + 0.0489402i
\(521\) 4220.64 + 7310.36i 0.354913 + 0.614727i 0.987103 0.160086i \(-0.0511773\pi\)
−0.632190 + 0.774813i \(0.717844\pi\)
\(522\) −2562.39 11333.1i −0.214852 0.950263i
\(523\) 3141.63 + 1813.82i 0.262665 + 0.151650i 0.625550 0.780184i \(-0.284875\pi\)
−0.362884 + 0.931834i \(0.618208\pi\)
\(524\) 5095.56 8825.76i 0.424810 0.735793i
\(525\) −6994.45 8718.59i −0.581453 0.724782i
\(526\) 279.499 + 484.107i 0.0231687 + 0.0401294i
\(527\) 7445.56i 0.615434i
\(528\) −1130.12 + 7446.31i −0.0931484 + 0.613748i
\(529\) 11393.1 0.936390
\(530\) −2054.21 + 3558.00i −0.168357 + 0.291603i
\(531\) −20042.5 6227.12i −1.63799 0.508916i
\(532\) 4287.30 + 13707.6i 0.349395 + 1.11710i
\(533\) −2750.22 1587.84i −0.223499 0.129037i
\(534\) 13576.1 + 10849.3i 1.10018 + 0.879203i
\(535\) −699.714 403.980i −0.0565444 0.0326460i
\(536\) −5490.41 3169.89i −0.442443 0.255445i
\(537\) 572.134 3769.75i 0.0459765 0.302936i
\(538\) 9812.53 + 5665.26i 0.786335 + 0.453991i
\(539\) 4927.07 10440.3i 0.393737 0.834317i
\(540\) 3482.59 2358.80i 0.277531 0.187976i
\(541\) −2781.66 + 4817.98i −0.221059 + 0.382886i −0.955130 0.296187i \(-0.904285\pi\)
0.734071 + 0.679073i \(0.237618\pi\)
\(542\) −12297.2 −0.974554
\(543\) 57.2072 + 45.7168i 0.00452117 + 0.00361307i
\(544\) 28235.8i 2.22537i
\(545\) 2416.66 + 4185.78i 0.189942 + 0.328989i
\(546\) 10312.7 1585.10i 0.808321 0.124241i
\(547\) 1520.34 2633.31i 0.118839 0.205836i −0.800469 0.599375i \(-0.795416\pi\)
0.919308 + 0.393539i \(0.128749\pi\)
\(548\) −21900.5 12644.2i −1.70719 0.985648i
\(549\) −3431.37 3713.31i −0.266753 0.288671i
\(550\) −8310.68 14394.5i −0.644307 1.11597i
\(551\) 3894.42 + 6745.34i 0.301103 + 0.521526i
\(552\) −797.110 + 997.454i −0.0614624 + 0.0769102i
\(553\) −12497.4 + 3908.79i −0.961016 + 0.300576i
\(554\) −23370.1 + 13492.7i −1.79224 + 1.03475i
\(555\) −1652.59 4223.39i −0.126393 0.323014i
\(556\) 19910.4i 1.51868i
\(557\) −160.380 + 92.5957i −0.0122002 + 0.00704382i −0.506088 0.862482i \(-0.668909\pi\)
0.493887 + 0.869526i \(0.335575\pi\)
\(558\) 1694.05 + 7492.59i 0.128521 + 0.568435i
\(559\) 7726.55i 0.584612i
\(560\) 2264.64 708.310i 0.170890 0.0534492i
\(561\) 2919.96 19239.4i 0.219752 1.44793i
\(562\) 22980.7 1.72488
\(563\) −4709.64 + 8157.33i −0.352553 + 0.610640i −0.986696 0.162576i \(-0.948020\pi\)
0.634143 + 0.773216i \(0.281353\pi\)
\(564\) −12001.7 + 15018.2i −0.896035 + 1.12124i
\(565\) 4176.31 2411.20i 0.310971 0.179539i
\(566\) 4116.08 0.305675
\(567\) −3002.32 13163.2i −0.222373 0.974962i
\(568\) −6734.18 −0.497465
\(569\) −5199.71 + 3002.05i −0.383099 + 0.221182i −0.679166 0.733985i \(-0.737658\pi\)
0.296067 + 0.955167i \(0.404325\pi\)
\(570\) −3157.64 + 3951.27i −0.232033 + 0.290352i
\(571\) 11218.1 19430.4i 0.822179 1.42406i −0.0818770 0.996642i \(-0.526091\pi\)
0.904056 0.427414i \(-0.140575\pi\)
\(572\) 8649.26 0.632244
\(573\) −2137.71 + 14085.2i −0.155853 + 1.02691i
\(574\) 6641.69 7214.71i 0.482959 0.524627i
\(575\) 3231.24i 0.234352i
\(576\) −4372.98 19341.2i −0.316332 1.39910i
\(577\) −13610.9 + 7858.26i −0.982027 + 0.566974i −0.902882 0.429890i \(-0.858553\pi\)
−0.0791455 + 0.996863i \(0.525219\pi\)
\(578\) 31750.6i 2.28486i
\(579\) 4310.21 + 11015.3i 0.309372 + 0.790639i
\(580\) −2627.98 + 1517.26i −0.188140 + 0.108622i
\(581\) −11070.7 10191.4i −0.790516 0.727730i
\(582\) 24052.8 30098.2i 1.71309 2.14366i
\(583\) 5465.90 + 9467.23i 0.388293 + 0.672543i
\(584\) 2089.05 + 3618.35i 0.148023 + 0.256384i
\(585\) 1390.17 + 1504.40i 0.0982505 + 0.106323i
\(586\) 7787.38 + 4496.04i 0.548965 + 0.316945i
\(587\) 7664.92 13276.0i 0.538952 0.933493i −0.460009 0.887914i \(-0.652154\pi\)
0.998961 0.0455781i \(-0.0145130\pi\)
\(588\) −1219.66 + 17919.4i −0.0855410 + 1.25677i
\(589\) −2574.69 4459.50i −0.180116 0.311970i
\(590\) 9832.52i 0.686099i
\(591\) 2739.11 + 2188.94i 0.190646 + 0.152354i
\(592\) −12633.9 −0.877114
\(593\) −7150.47 + 12385.0i −0.495168 + 0.857656i −0.999984 0.00557046i \(-0.998227\pi\)
0.504816 + 0.863227i \(0.331560\pi\)
\(594\) −1439.04 20025.3i −0.0994019 1.38324i
\(595\) −5851.26 + 1830.09i −0.403157 + 0.126095i
\(596\) 4724.44 + 2727.66i 0.324699 + 0.187465i
\(597\) 2064.95 13605.8i 0.141563 0.932747i
\(598\) −2612.15 1508.13i −0.178627 0.103130i
\(599\) −3218.52 1858.22i −0.219541 0.126752i 0.386196 0.922417i \(-0.373789\pi\)
−0.605738 + 0.795664i \(0.707122\pi\)
\(600\) 4164.41 + 3327.97i 0.283352 + 0.226439i
\(601\) 904.706 + 522.332i 0.0614039 + 0.0354515i 0.530388 0.847755i \(-0.322046\pi\)
−0.468984 + 0.883207i \(0.655380\pi\)
\(602\) −23281.7 5217.70i −1.57623 0.353252i
\(603\) −18506.7 5749.97i −1.24984 0.388320i
\(604\) 10403.5 18019.4i 0.700849 1.21391i
\(605\) −589.561 −0.0396183
\(606\) 3469.98 22863.5i 0.232605 1.53262i
\(607\) 397.834i 0.0266023i −0.999912 0.0133011i \(-0.995766\pi\)
0.999912 0.0133011i \(-0.00423401\pi\)
\(608\) 9764.00 + 16911.7i 0.651287 + 1.12806i
\(609\) 1479.74 + 9627.25i 0.0984598 + 0.640584i
\(610\) −1184.34 + 2051.34i −0.0786110 + 0.136158i
\(611\) −8107.80 4681.04i −0.536835 0.309942i
\(612\) 6676.58 + 29529.7i 0.440988 + 1.95044i
\(613\) −6825.91 11822.8i −0.449749 0.778988i 0.548620 0.836071i \(-0.315153\pi\)
−0.998369 + 0.0570835i \(0.981820\pi\)
\(614\) −5323.11 9219.90i −0.349875 0.606002i
\(615\) 1903.38 + 288.875i 0.124799 + 0.0189408i
\(616\) −1204.07 + 5372.62i −0.0787553 + 0.351411i
\(617\) 10813.0 6242.87i 0.705533 0.407340i −0.103872 0.994591i \(-0.533123\pi\)
0.809405 + 0.587251i \(0.199790\pi\)
\(618\) 18555.1 + 2816.10i 1.20776 + 0.183301i
\(619\) 7621.70i 0.494898i −0.968901 0.247449i \(-0.920408\pi\)
0.968901 0.247449i \(-0.0795923\pi\)
\(620\) 1737.42 1003.10i 0.112543 0.0649764i
\(621\) −1704.21 + 3511.29i −0.110125 + 0.226897i
\(622\) 39404.1i 2.54013i
\(623\) −10718.3 9867.00i −0.689276 0.634532i
\(624\) 5313.90 2079.30i 0.340907 0.133395i
\(625\) 12384.2 0.792588
\(626\) 13501.5 23385.3i 0.862028 1.49308i
\(627\) 4904.13 + 12533.1i 0.312364 + 0.798284i
\(628\) −16357.2 + 9443.85i −1.03937 + 0.600081i
\(629\) 32642.9 2.06925
\(630\) −5471.83 + 3172.96i −0.346036 + 0.200657i
\(631\) 24538.8 1.54813 0.774067 0.633103i \(-0.218219\pi\)
0.774067 + 0.633103i \(0.218219\pi\)
\(632\) 5408.36 3122.52i 0.340400 0.196530i
\(633\) 5458.94 + 828.501i 0.342770 + 0.0520221i
\(634\) −4293.92 + 7437.29i −0.268980 + 0.465887i
\(635\) −8367.81 −0.522939
\(636\) −13286.2 10617.6i −0.828352 0.661973i
\(637\) −8716.74 + 722.181i −0.542182 + 0.0449197i
\(638\) 14484.2i 0.898802i
\(639\) −20078.2 + 4539.63i −1.24301 + 0.281040i
\(640\) −2814.75 + 1625.10i −0.173848 + 0.100371i
\(641\) 11594.1i 0.714414i 0.934025 + 0.357207i \(0.116271\pi\)
−0.934025 + 0.357207i \(0.883729\pi\)
\(642\) 3745.65 4687.08i 0.230263 0.288137i
\(643\) 20426.2 11793.1i 1.25277 0.723286i 0.281110 0.959675i \(-0.409297\pi\)
0.971659 + 0.236389i \(0.0759639\pi\)
\(644\) 3516.61 3820.01i 0.215177 0.233741i
\(645\) −1706.82 4361.98i −0.104195 0.266284i
\(646\) −18202.9 31528.3i −1.10864 1.92022i
\(647\) −2126.86 3683.82i −0.129235 0.223842i 0.794145 0.607728i \(-0.207919\pi\)
−0.923381 + 0.383886i \(0.874586\pi\)
\(648\) 2770.11 + 5812.78i 0.167933 + 0.352388i
\(649\) 22657.5 + 13081.3i 1.37039 + 0.791197i
\(650\) −6296.50 + 10905.9i −0.379952 + 0.658097i
\(651\) −978.289 6364.79i −0.0588973 0.383189i
\(652\) −3787.35 6559.89i −0.227491 0.394026i
\(653\) 25340.6i 1.51862i −0.650732 0.759308i \(-0.725538\pi\)
0.650732 0.759308i \(-0.274462\pi\)
\(654\) −33424.3 + 13078.7i −1.99846 + 0.781986i
\(655\) −3008.63 −0.179476
\(656\) 2681.53 4644.54i 0.159598 0.276431i
\(657\) 8667.78 + 9379.98i 0.514707 + 0.556998i
\(658\) 19580.1 21269.4i 1.16005 1.26013i
\(659\) 1230.18 + 710.247i 0.0727180 + 0.0419837i 0.535918 0.844270i \(-0.319966\pi\)
−0.463200 + 0.886254i \(0.653299\pi\)
\(660\) −4882.89 + 1910.65i −0.287979 + 0.112684i
\(661\) 844.855 + 487.777i 0.0497141 + 0.0287025i 0.524651 0.851317i \(-0.324196\pi\)
−0.474937 + 0.880020i \(0.657529\pi\)
\(662\) 21680.4 + 12517.2i 1.27286 + 0.734886i
\(663\) −13729.8 + 5372.37i −0.804254 + 0.314699i
\(664\) 6215.03 + 3588.25i 0.363238 + 0.209715i
\(665\) 2871.75 3119.51i 0.167461 0.181909i
\(666\) 32849.1 7427.08i 1.91123 0.432122i
\(667\) 1407.89 2438.53i 0.0817295 0.141560i
\(668\) −15486.1 −0.896972
\(669\) −14347.9 + 5614.24i −0.829180 + 0.324453i
\(670\) 9079.10i 0.523517i
\(671\) 3151.34 + 5458.28i 0.181306 + 0.314030i
\(672\) 3709.96 + 24137.2i 0.212969 + 1.38558i
\(673\) −8197.75 + 14198.9i −0.469539 + 0.813266i −0.999394 0.0348227i \(-0.988913\pi\)
0.529854 + 0.848089i \(0.322247\pi\)
\(674\) 4573.61 + 2640.57i 0.261378 + 0.150907i
\(675\) 14659.8 + 7115.16i 0.835934 + 0.405722i
\(676\) 7793.56 + 13498.8i 0.443421 + 0.768027i
\(677\) −7847.68 13592.6i −0.445511 0.771648i 0.552577 0.833462i \(-0.313645\pi\)
−0.998088 + 0.0618144i \(0.980311\pi\)
\(678\) 13049.2 + 33348.8i 0.739159 + 1.88901i
\(679\) −21875.1 + 23762.4i −1.23636 + 1.34303i
\(680\) 2532.19 1461.96i 0.142802 0.0824466i
\(681\) −14214.6 + 17787.2i −0.799858 + 1.00089i
\(682\) 9575.84i 0.537651i
\(683\) −4500.99 + 2598.65i −0.252160 + 0.145585i −0.620753 0.784006i \(-0.713173\pi\)
0.368593 + 0.929591i \(0.379840\pi\)
\(684\) −14210.4 15378.0i −0.794367 0.859637i
\(685\) 7465.69i 0.416422i
\(686\) 3710.29 26753.0i 0.206501 1.48897i
\(687\) −13679.3 10931.7i −0.759674 0.607089i
\(688\) −13048.5 −0.723067
\(689\) 4141.19 7172.74i 0.228979 0.396603i
\(690\) 1807.83 + 274.373i 0.0997432 + 0.0151380i
\(691\) 4854.95 2803.01i 0.267281 0.154315i −0.360370 0.932809i \(-0.617350\pi\)
0.627651 + 0.778495i \(0.284016\pi\)
\(692\) 20247.0 1.11225
\(693\) 31.8002 + 16830.3i 0.00174313 + 0.922557i
\(694\) −22977.5 −1.25679
\(695\) 5090.47 2938.98i 0.277831 0.160406i
\(696\) −1692.74 4326.01i −0.0921884 0.235599i
\(697\) −6928.39 + 12000.3i −0.376516 + 0.652144i
\(698\) −3210.09 −0.174074
\(699\) 5648.58 2210.26i 0.305650 0.119599i
\(700\) −15948.7 14682.0i −0.861148 0.792753i
\(701\) 8629.57i 0.464956i −0.972602 0.232478i \(-0.925317\pi\)
0.972602 0.232478i \(-0.0746834\pi\)
\(702\) −12594.1 + 8530.18i −0.677116 + 0.458619i
\(703\) −19551.4 + 11288.0i −1.04892 + 0.605597i
\(704\) 24718.8i 1.32333i
\(705\) 5611.27 + 851.621i 0.299763 + 0.0454949i
\(706\) −33758.8 + 19490.7i −1.79962 + 1.03901i
\(707\) −4239.43 + 18916.6i −0.225516 + 1.00627i
\(708\) −40242.6 6107.61i −2.13617 0.324206i
\(709\) 17662.3 + 30592.0i 0.935574 + 1.62046i 0.773608 + 0.633665i \(0.218450\pi\)
0.161966 + 0.986796i \(0.448216\pi\)
\(710\) 4821.96 + 8351.88i 0.254880 + 0.441466i
\(711\) 14020.3 12955.8i 0.739524 0.683375i
\(712\) 6017.19 + 3474.03i 0.316719 + 0.182858i
\(713\) −930.786 + 1612.17i −0.0488895 + 0.0846791i
\(714\) −6916.42 44998.6i −0.362522 2.35858i
\(715\) −1276.72 2211.35i −0.0667785 0.115664i
\(716\) 7394.80i 0.385973i
\(717\) 4282.43 28216.7i 0.223055 1.46969i
\(718\) −31465.2 −1.63548
\(719\) −1378.95 + 2388.42i −0.0715248 + 0.123885i −0.899570 0.436777i \(-0.856120\pi\)
0.828045 + 0.560662i \(0.189453\pi\)
\(720\) −2540.61 + 2347.71i −0.131504 + 0.121519i
\(721\) −15352.0 3440.55i −0.792977 0.177716i
\(722\) −3450.63 1992.22i −0.177866 0.102691i
\(723\) 9503.19 + 7594.42i 0.488834 + 0.390649i
\(724\) 122.996 + 71.0116i 0.00631368 + 0.00364520i
\(725\) −10181.0 5877.99i −0.521534 0.301108i
\(726\) 656.934 4328.49i 0.0335828 0.221275i
\(727\) −12443.7 7184.36i −0.634814 0.366510i 0.147800 0.989017i \(-0.452781\pi\)
−0.782614 + 0.622507i \(0.786114\pi\)
\(728\) 3981.29 1245.22i 0.202687 0.0633943i
\(729\) 12177.7 + 15463.6i 0.618691 + 0.785635i
\(730\) 2991.70 5181.78i 0.151682 0.262721i
\(731\) 33714.1 1.70583
\(732\) −7660.08 6121.51i −0.386783 0.309095i
\(733\) 2888.16i 0.145534i −0.997349 0.0727672i \(-0.976817\pi\)
0.997349 0.0727672i \(-0.0231830\pi\)
\(734\) 4650.45 + 8054.82i 0.233857 + 0.405053i
\(735\) 4761.46 2333.26i 0.238951 0.117093i
\(736\) 3529.82 6113.83i 0.176781 0.306194i
\(737\) 20921.4 + 12079.0i 1.04566 + 0.603710i
\(738\) −4241.78 + 13652.5i −0.211574 + 0.680970i
\(739\) −12636.6 21887.2i −0.629017 1.08949i −0.987749 0.156048i \(-0.950124\pi\)
0.358733 0.933440i \(-0.383209\pi\)
\(740\) −4397.79 7617.20i −0.218468 0.378397i
\(741\) 6365.63 7965.56i 0.315583 0.394902i
\(742\) 18816.4 + 17322.0i 0.930960 + 0.857020i
\(743\) 21111.2 12188.6i 1.04239 0.601824i 0.121880 0.992545i \(-0.461108\pi\)
0.920509 + 0.390721i \(0.127774\pi\)
\(744\) 1119.11 + 2860.02i 0.0551459 + 0.140932i
\(745\) 1610.52i 0.0792013i
\(746\) 35688.2 20604.6i 1.75153 1.01124i
\(747\) 20949.2 + 6508.84i 1.02609 + 0.318803i
\(748\) 37740.2i 1.84481i
\(749\) −3406.53 + 3700.43i −0.166184 + 0.180522i
\(750\) 2378.34 15670.7i 0.115793 0.762950i
\(751\) 1695.52 0.0823839 0.0411919 0.999151i \(-0.486884\pi\)
0.0411919 + 0.999151i \(0.486884\pi\)
\(752\) 7905.30 13692.4i 0.383346 0.663976i
\(753\) −5191.99 + 6496.94i −0.251270 + 0.314424i
\(754\) 9503.60 5486.91i 0.459020 0.265015i
\(755\) −6142.67 −0.296099
\(756\) −9587.42 24366.1i −0.461232 1.17220i
\(757\) −23361.6 −1.12165 −0.560827 0.827933i \(-0.689517\pi\)
−0.560827 + 0.827933i \(0.689517\pi\)
\(758\) −3021.25 + 1744.32i −0.144772 + 0.0835839i
\(759\) 3037.41 3800.83i 0.145258 0.181767i
\(760\) −1011.10 + 1751.28i −0.0482585 + 0.0835862i
\(761\) 31128.0 1.48277 0.741386 0.671079i \(-0.234169\pi\)
0.741386 + 0.671079i \(0.234169\pi\)
\(762\) 9324.05 61435.5i 0.443274 2.92070i
\(763\) 28716.3 8981.57i 1.36252 0.426153i
\(764\) 27629.7i 1.30839i
\(765\) 6564.30 6065.89i 0.310239 0.286683i
\(766\) 16130.4 9312.90i 0.760856 0.439281i
\(767\) 19821.9i 0.933150i
\(768\) 2329.72 + 5953.90i 0.109462 + 0.279743i
\(769\) −312.046 + 180.160i −0.0146329 + 0.00844829i −0.507299 0.861770i \(-0.669356\pi\)
0.492666 + 0.870219i \(0.336023\pi\)
\(770\) 7525.40 2353.71i 0.352203 0.110158i
\(771\) −10588.0 + 13249.1i −0.494574 + 0.618879i
\(772\) 11470.2 + 19866.9i 0.534742 + 0.926200i
\(773\) 10038.7 + 17387.6i 0.467099 + 0.809039i 0.999294 0.0375828i \(-0.0119658\pi\)