Properties

Label 63.4.h.a.25.20
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.20
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.20

$q$-expansion

\(f(q)\) \(=\) \(q+4.21476 q^{2} +(2.84415 + 4.34866i) q^{3} +9.76423 q^{4} +(3.91201 - 6.77580i) q^{5} +(11.9874 + 18.3286i) q^{6} +(-15.9002 - 9.49654i) q^{7} +7.43579 q^{8} +(-10.8216 + 24.7365i) q^{9} +O(q^{10})\) \(q+4.21476 q^{2} +(2.84415 + 4.34866i) q^{3} +9.76423 q^{4} +(3.91201 - 6.77580i) q^{5} +(11.9874 + 18.3286i) q^{6} +(-15.9002 - 9.49654i) q^{7} +7.43579 q^{8} +(-10.8216 + 24.7365i) q^{9} +(16.4882 - 28.5584i) q^{10} +(6.42137 + 11.1221i) q^{11} +(27.7709 + 42.4613i) q^{12} +(6.74197 + 11.6774i) q^{13} +(-67.0155 - 40.0256i) q^{14} +(40.5920 - 2.25939i) q^{15} -46.7737 q^{16} +(35.5009 - 61.4893i) q^{17} +(-45.6107 + 104.258i) q^{18} +(-46.2187 - 80.0532i) q^{19} +(38.1977 - 66.1604i) q^{20} +(-3.92530 - 96.1540i) q^{21} +(27.0646 + 46.8772i) q^{22} +(-1.97063 + 3.41322i) q^{23} +(21.1485 + 32.3357i) q^{24} +(31.8924 + 55.2392i) q^{25} +(28.4158 + 49.2176i) q^{26} +(-138.349 + 23.2945i) q^{27} +(-155.253 - 92.7263i) q^{28} +(-90.3269 + 156.451i) q^{29} +(171.086 - 9.52278i) q^{30} +270.523 q^{31} -256.626 q^{32} +(-30.1031 + 59.5574i) q^{33} +(149.628 - 259.163i) q^{34} +(-126.548 + 70.5859i) q^{35} +(-105.665 + 241.532i) q^{36} +(110.157 + 190.798i) q^{37} +(-194.801 - 337.405i) q^{38} +(-31.6060 + 62.5308i) q^{39} +(29.0889 - 50.3834i) q^{40} +(-33.6506 - 58.2845i) q^{41} +(-16.5442 - 405.266i) q^{42} +(237.806 - 411.893i) q^{43} +(62.6997 + 108.599i) q^{44} +(125.275 + 170.095i) q^{45} +(-8.30572 + 14.3859i) q^{46} -512.858 q^{47} +(-133.031 - 203.403i) q^{48} +(162.632 + 301.993i) q^{49} +(134.419 + 232.820i) q^{50} +(368.366 - 20.5036i) q^{51} +(65.8301 + 114.021i) q^{52} +(-238.528 + 413.142i) q^{53} +(-583.107 + 98.1808i) q^{54} +100.482 q^{55} +(-118.230 - 70.6143i) q^{56} +(216.671 - 428.673i) q^{57} +(-380.707 + 659.403i) q^{58} +717.669 q^{59} +(396.349 - 22.0612i) q^{60} +376.691 q^{61} +1140.19 q^{62} +(406.977 - 290.546i) q^{63} -707.430 q^{64} +105.499 q^{65} +(-126.877 + 251.020i) q^{66} +694.361 q^{67} +(346.639 - 600.396i) q^{68} +(-20.4477 + 1.13814i) q^{69} +(-533.371 + 297.503i) q^{70} -230.757 q^{71} +(-80.4675 + 183.935i) q^{72} +(-258.027 + 446.916i) q^{73} +(464.287 + 804.168i) q^{74} +(-149.510 + 295.797i) q^{75} +(-451.290 - 781.658i) q^{76} +(3.52083 - 237.825i) q^{77} +(-133.212 + 263.553i) q^{78} -943.662 q^{79} +(-182.979 + 316.929i) q^{80} +(-494.784 - 535.378i) q^{81} +(-141.829 - 245.655i) q^{82} +(-84.4915 + 146.344i) q^{83} +(-38.3275 - 938.869i) q^{84} +(-277.760 - 481.094i) q^{85} +(1002.30 - 1736.03i) q^{86} +(-937.254 + 52.1684i) q^{87} +(47.7480 + 82.7020i) q^{88} +(-149.467 - 258.885i) q^{89} +(528.004 + 716.908i) q^{90} +(3.69661 - 249.699i) q^{91} +(-19.2416 + 33.3275i) q^{92} +(769.407 + 1176.41i) q^{93} -2161.57 q^{94} -723.233 q^{95} +(-729.883 - 1115.98i) q^{96} +(389.330 - 674.339i) q^{97} +(685.454 + 1272.83i) q^{98} +(-344.612 + 38.4821i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.21476 1.49014 0.745072 0.666984i \(-0.232415\pi\)
0.745072 + 0.666984i \(0.232415\pi\)
\(3\) 2.84415 + 4.34866i 0.547357 + 0.836900i
\(4\) 9.76423 1.22053
\(5\) 3.91201 6.77580i 0.349901 0.606046i −0.636331 0.771416i \(-0.719549\pi\)
0.986232 + 0.165370i \(0.0528820\pi\)
\(6\) 11.9874 + 18.3286i 0.815640 + 1.24710i
\(7\) −15.9002 9.49654i −0.858529 0.512765i
\(8\) 7.43579 0.328619
\(9\) −10.8216 + 24.7365i −0.400802 + 0.916165i
\(10\) 16.4882 28.5584i 0.521402 0.903095i
\(11\) 6.42137 + 11.1221i 0.176011 + 0.304859i 0.940511 0.339764i \(-0.110347\pi\)
−0.764500 + 0.644624i \(0.777014\pi\)
\(12\) 27.7709 + 42.4613i 0.668064 + 1.02146i
\(13\) 6.74197 + 11.6774i 0.143837 + 0.249134i 0.928939 0.370234i \(-0.120722\pi\)
−0.785101 + 0.619367i \(0.787389\pi\)
\(14\) −67.0155 40.0256i −1.27933 0.764093i
\(15\) 40.5920 2.25939i 0.698720 0.0388914i
\(16\) −46.7737 −0.730839
\(17\) 35.5009 61.4893i 0.506484 0.877256i −0.493488 0.869753i \(-0.664278\pi\)
0.999972 0.00750336i \(-0.00238842\pi\)
\(18\) −45.6107 + 104.258i −0.597252 + 1.36522i
\(19\) −46.2187 80.0532i −0.558069 0.966604i −0.997658 0.0684045i \(-0.978209\pi\)
0.439589 0.898199i \(-0.355124\pi\)
\(20\) 38.1977 66.1604i 0.427064 0.739696i
\(21\) −3.92530 96.1540i −0.0407890 0.999168i
\(22\) 27.0646 + 46.8772i 0.262281 + 0.454284i
\(23\) −1.97063 + 3.41322i −0.0178654 + 0.0309438i −0.874820 0.484448i \(-0.839020\pi\)
0.856954 + 0.515392i \(0.172354\pi\)
\(24\) 21.1485 + 32.3357i 0.179872 + 0.275021i
\(25\) 31.8924 + 55.2392i 0.255139 + 0.441914i
\(26\) 28.4158 + 49.2176i 0.214338 + 0.371245i
\(27\) −138.349 + 23.2945i −0.986119 + 0.166038i
\(28\) −155.253 92.7263i −1.04786 0.625844i
\(29\) −90.3269 + 156.451i −0.578389 + 1.00180i 0.417275 + 0.908780i \(0.362985\pi\)
−0.995664 + 0.0930193i \(0.970348\pi\)
\(30\) 171.086 9.52278i 1.04119 0.0579538i
\(31\) 270.523 1.56733 0.783667 0.621181i \(-0.213347\pi\)
0.783667 + 0.621181i \(0.213347\pi\)
\(32\) −256.626 −1.41767
\(33\) −30.1031 + 59.5574i −0.158796 + 0.314170i
\(34\) 149.628 259.163i 0.754734 1.30724i
\(35\) −126.548 + 70.5859i −0.611159 + 0.340891i
\(36\) −105.665 + 241.532i −0.489190 + 1.11821i
\(37\) 110.157 + 190.798i 0.489452 + 0.847756i 0.999926 0.0121369i \(-0.00386339\pi\)
−0.510474 + 0.859893i \(0.670530\pi\)
\(38\) −194.801 337.405i −0.831603 1.44038i
\(39\) −31.6060 + 62.5308i −0.129769 + 0.256742i
\(40\) 29.0889 50.3834i 0.114984 0.199158i
\(41\) −33.6506 58.2845i −0.128179 0.222012i 0.794792 0.606882i \(-0.207580\pi\)
−0.922971 + 0.384869i \(0.874247\pi\)
\(42\) −16.5442 405.266i −0.0607815 1.48890i
\(43\) 237.806 411.893i 0.843375 1.46077i −0.0436494 0.999047i \(-0.513898\pi\)
0.887025 0.461722i \(-0.152768\pi\)
\(44\) 62.6997 + 108.599i 0.214826 + 0.372089i
\(45\) 125.275 + 170.095i 0.414997 + 0.563471i
\(46\) −8.30572 + 14.3859i −0.0266220 + 0.0461107i
\(47\) −512.858 −1.59166 −0.795829 0.605521i \(-0.792965\pi\)
−0.795829 + 0.605521i \(0.792965\pi\)
\(48\) −133.031 203.403i −0.400030 0.611639i
\(49\) 162.632 + 301.993i 0.474145 + 0.880447i
\(50\) 134.419 + 232.820i 0.380194 + 0.658515i
\(51\) 368.366 20.5036i 1.01140 0.0562956i
\(52\) 65.8301 + 114.021i 0.175557 + 0.304074i
\(53\) −238.528 + 413.142i −0.618195 + 1.07074i 0.371621 + 0.928385i \(0.378802\pi\)
−0.989815 + 0.142360i \(0.954531\pi\)
\(54\) −583.107 + 98.1808i −1.46946 + 0.247421i
\(55\) 100.482 0.246345
\(56\) −118.230 70.6143i −0.282129 0.168504i
\(57\) 216.671 428.673i 0.503487 0.996124i
\(58\) −380.707 + 659.403i −0.861883 + 1.49283i
\(59\) 717.669 1.58360 0.791802 0.610778i \(-0.209143\pi\)
0.791802 + 0.610778i \(0.209143\pi\)
\(60\) 396.349 22.0612i 0.852807 0.0474681i
\(61\) 376.691 0.790662 0.395331 0.918539i \(-0.370630\pi\)
0.395331 + 0.918539i \(0.370630\pi\)
\(62\) 1140.19 2.33555
\(63\) 406.977 290.546i 0.813877 0.581037i
\(64\) −707.430 −1.38170
\(65\) 105.499 0.201315
\(66\) −126.877 + 251.020i −0.236629 + 0.468158i
\(67\) 694.361 1.26612 0.633058 0.774104i \(-0.281800\pi\)
0.633058 + 0.774104i \(0.281800\pi\)
\(68\) 346.639 600.396i 0.618178 1.07072i
\(69\) −20.4477 + 1.13814i −0.0356756 + 0.00198573i
\(70\) −533.371 + 297.503i −0.910715 + 0.507977i
\(71\) −230.757 −0.385715 −0.192858 0.981227i \(-0.561776\pi\)
−0.192858 + 0.981227i \(0.561776\pi\)
\(72\) −80.4675 + 183.935i −0.131711 + 0.301069i
\(73\) −258.027 + 446.916i −0.413696 + 0.716542i −0.995291 0.0969364i \(-0.969096\pi\)
0.581595 + 0.813479i \(0.302429\pi\)
\(74\) 464.287 + 804.168i 0.729354 + 1.26328i
\(75\) −149.510 + 295.797i −0.230185 + 0.455410i
\(76\) −451.290 781.658i −0.681139 1.17977i
\(77\) 3.52083 237.825i 0.00521085 0.351983i
\(78\) −133.212 + 263.553i −0.193375 + 0.382583i
\(79\) −943.662 −1.34393 −0.671964 0.740584i \(-0.734549\pi\)
−0.671964 + 0.740584i \(0.734549\pi\)
\(80\) −182.979 + 316.929i −0.255721 + 0.442922i
\(81\) −494.784 535.378i −0.678716 0.734401i
\(82\) −141.829 245.655i −0.191005 0.330830i
\(83\) −84.4915 + 146.344i −0.111737 + 0.193534i −0.916471 0.400102i \(-0.868975\pi\)
0.804734 + 0.593636i \(0.202308\pi\)
\(84\) −38.3275 938.869i −0.0497842 1.21951i
\(85\) −277.760 481.094i −0.354438 0.613905i
\(86\) 1002.30 1736.03i 1.25675 2.17676i
\(87\) −937.254 + 52.1684i −1.15499 + 0.0642879i
\(88\) 47.7480 + 82.7020i 0.0578404 + 0.100183i
\(89\) −149.467 258.885i −0.178017 0.308334i 0.763184 0.646181i \(-0.223635\pi\)
−0.941201 + 0.337847i \(0.890302\pi\)
\(90\) 528.004 + 716.908i 0.618405 + 0.839653i
\(91\) 3.69661 249.699i 0.00425835 0.287643i
\(92\) −19.2416 + 33.3275i −0.0218052 + 0.0377677i
\(93\) 769.407 + 1176.41i 0.857891 + 1.31170i
\(94\) −2161.57 −2.37180
\(95\) −723.233 −0.781075
\(96\) −729.883 1115.98i −0.775973 1.18645i
\(97\) 389.330 674.339i 0.407531 0.705864i −0.587082 0.809528i \(-0.699723\pi\)
0.994612 + 0.103664i \(0.0330566\pi\)
\(98\) 685.454 + 1272.83i 0.706544 + 1.31199i
\(99\) −344.612 + 38.4821i −0.349847 + 0.0390666i
\(100\) 311.404 + 539.368i 0.311404 + 0.539368i
\(101\) −120.307 208.379i −0.118525 0.205292i 0.800658 0.599121i \(-0.204483\pi\)
−0.919183 + 0.393830i \(0.871150\pi\)
\(102\) 1552.57 86.4177i 1.50714 0.0838885i
\(103\) −83.1478 + 144.016i −0.0795417 + 0.137770i −0.903052 0.429531i \(-0.858679\pi\)
0.823511 + 0.567301i \(0.192012\pi\)
\(104\) 50.1319 + 86.8309i 0.0472676 + 0.0818699i
\(105\) −666.876 349.558i −0.619814 0.324890i
\(106\) −1005.34 + 1741.30i −0.921199 + 1.59556i
\(107\) −1077.58 1866.42i −0.973583 1.68629i −0.684535 0.728980i \(-0.739995\pi\)
−0.289047 0.957315i \(-0.593338\pi\)
\(108\) −1350.87 + 227.453i −1.20359 + 0.202654i
\(109\) −141.982 + 245.920i −0.124765 + 0.216100i −0.921641 0.388043i \(-0.873151\pi\)
0.796876 + 0.604143i \(0.206484\pi\)
\(110\) 423.507 0.367090
\(111\) −516.411 + 1021.69i −0.441582 + 0.873647i
\(112\) 743.710 + 444.188i 0.627447 + 0.374748i
\(113\) 235.029 + 407.082i 0.195661 + 0.338894i 0.947117 0.320889i \(-0.103982\pi\)
−0.751456 + 0.659783i \(0.770648\pi\)
\(114\) 913.217 1806.75i 0.750269 1.48437i
\(115\) 15.4182 + 26.7051i 0.0125022 + 0.0216545i
\(116\) −881.972 + 1527.62i −0.705940 + 1.22272i
\(117\) −361.817 + 40.4033i −0.285898 + 0.0319256i
\(118\) 3024.81 2.35980
\(119\) −1148.41 + 640.556i −0.884657 + 0.493443i
\(120\) 301.833 16.8003i 0.229612 0.0127804i
\(121\) 583.032 1009.84i 0.438040 0.758708i
\(122\) 1587.66 1.17820
\(123\) 157.752 312.104i 0.115642 0.228793i
\(124\) 2641.45 1.91298
\(125\) 1477.06 1.05689
\(126\) 1715.31 1224.58i 1.21279 0.865829i
\(127\) −231.037 −0.161427 −0.0807135 0.996737i \(-0.525720\pi\)
−0.0807135 + 0.996737i \(0.525720\pi\)
\(128\) −928.638 −0.641256
\(129\) 2467.54 137.345i 1.68414 0.0937410i
\(130\) 444.651 0.299988
\(131\) −850.137 + 1472.48i −0.566999 + 0.982071i 0.429862 + 0.902895i \(0.358562\pi\)
−0.996861 + 0.0791760i \(0.974771\pi\)
\(132\) −293.933 + 581.532i −0.193815 + 0.383453i
\(133\) −25.3417 + 1711.78i −0.0165218 + 1.11602i
\(134\) 2926.57 1.88669
\(135\) −383.383 + 1028.55i −0.244417 + 0.655730i
\(136\) 263.977 457.222i 0.166440 0.288283i
\(137\) −654.323 1133.32i −0.408048 0.706759i 0.586623 0.809860i \(-0.300457\pi\)
−0.994671 + 0.103101i \(0.967124\pi\)
\(138\) −86.1822 + 4.79698i −0.0531617 + 0.00295903i
\(139\) −1550.58 2685.68i −0.946176 1.63883i −0.753379 0.657587i \(-0.771577\pi\)
−0.192798 0.981239i \(-0.561756\pi\)
\(140\) −1235.65 + 689.217i −0.745937 + 0.416067i
\(141\) −1458.64 2230.24i −0.871205 1.33206i
\(142\) −972.585 −0.574771
\(143\) −86.5854 + 149.970i −0.0506338 + 0.0877003i
\(144\) 506.168 1157.02i 0.292922 0.669569i
\(145\) 706.720 + 1224.07i 0.404758 + 0.701061i
\(146\) −1087.52 + 1883.65i −0.616466 + 1.06775i
\(147\) −850.717 + 1566.14i −0.477319 + 0.878730i
\(148\) 1075.60 + 1862.99i 0.597390 + 1.03471i
\(149\) −546.596 + 946.733i −0.300530 + 0.520533i −0.976256 0.216620i \(-0.930497\pi\)
0.675726 + 0.737153i \(0.263830\pi\)
\(150\) −630.148 + 1246.72i −0.343009 + 0.678626i
\(151\) −995.396 1724.08i −0.536451 0.929161i −0.999092 0.0426149i \(-0.986431\pi\)
0.462640 0.886546i \(-0.346902\pi\)
\(152\) −343.673 595.259i −0.183392 0.317644i
\(153\) 1136.85 + 1543.58i 0.600712 + 0.815629i
\(154\) 14.8395 1002.38i 0.00776492 0.524505i
\(155\) 1058.29 1833.01i 0.548411 0.949876i
\(156\) −308.608 + 610.565i −0.158387 + 0.313361i
\(157\) 1842.99 0.936859 0.468429 0.883501i \(-0.344820\pi\)
0.468429 + 0.883501i \(0.344820\pi\)
\(158\) −3977.31 −2.00265
\(159\) −2475.02 + 137.762i −1.23448 + 0.0687122i
\(160\) −1003.92 + 1738.85i −0.496045 + 0.859176i
\(161\) 63.7471 35.5568i 0.0312048 0.0174054i
\(162\) −2085.40 2256.49i −1.01138 1.09436i
\(163\) 305.269 + 528.742i 0.146690 + 0.254075i 0.930002 0.367554i \(-0.119805\pi\)
−0.783312 + 0.621629i \(0.786471\pi\)
\(164\) −328.572 569.103i −0.156446 0.270972i
\(165\) 285.785 + 436.961i 0.134839 + 0.206166i
\(166\) −356.112 + 616.804i −0.166504 + 0.288393i
\(167\) −1136.90 1969.17i −0.526802 0.912448i −0.999512 0.0312300i \(-0.990058\pi\)
0.472710 0.881218i \(-0.343276\pi\)
\(168\) −29.1877 714.981i −0.0134040 0.328345i
\(169\) 1007.59 1745.20i 0.458622 0.794356i
\(170\) −1170.69 2027.70i −0.528164 0.914807i
\(171\) 2480.40 276.980i 1.10924 0.123867i
\(172\) 2322.00 4021.81i 1.02936 1.78291i
\(173\) 669.807 0.294361 0.147181 0.989110i \(-0.452980\pi\)
0.147181 + 0.989110i \(0.452980\pi\)
\(174\) −3950.30 + 219.878i −1.72110 + 0.0957981i
\(175\) 17.4865 1181.18i 0.00755347 0.510222i
\(176\) −300.351 520.224i −0.128635 0.222803i
\(177\) 2041.16 + 3120.90i 0.866796 + 1.32532i
\(178\) −629.969 1091.14i −0.265271 0.459463i
\(179\) −1111.53 + 1925.22i −0.464131 + 0.803898i −0.999162 0.0409341i \(-0.986967\pi\)
0.535031 + 0.844832i \(0.320300\pi\)
\(180\) 1223.21 + 1660.84i 0.506516 + 0.687732i
\(181\) −1845.22 −0.757758 −0.378879 0.925446i \(-0.623690\pi\)
−0.378879 + 0.925446i \(0.623690\pi\)
\(182\) 15.5803 1052.42i 0.00634555 0.428630i
\(183\) 1071.37 + 1638.10i 0.432774 + 0.661704i
\(184\) −14.6532 + 25.3800i −0.00587090 + 0.0101687i
\(185\) 1723.74 0.685039
\(186\) 3242.87 + 4958.30i 1.27838 + 1.95462i
\(187\) 911.858 0.356586
\(188\) −5007.66 −1.94266
\(189\) 2420.99 + 943.446i 0.931751 + 0.363099i
\(190\) −3048.25 −1.16391
\(191\) 2202.36 0.834330 0.417165 0.908831i \(-0.363024\pi\)
0.417165 + 0.908831i \(0.363024\pi\)
\(192\) −2012.04 3076.37i −0.756282 1.15634i
\(193\) 690.780 0.257634 0.128817 0.991668i \(-0.458882\pi\)
0.128817 + 0.991668i \(0.458882\pi\)
\(194\) 1640.93 2842.18i 0.607279 1.05184i
\(195\) 300.053 + 458.777i 0.110191 + 0.168481i
\(196\) 1587.97 + 2948.73i 0.578707 + 1.07461i
\(197\) 1553.21 0.561733 0.280866 0.959747i \(-0.409378\pi\)
0.280866 + 0.959747i \(0.409378\pi\)
\(198\) −1452.46 + 162.193i −0.521322 + 0.0582149i
\(199\) 308.538 534.404i 0.109908 0.190366i −0.805825 0.592154i \(-0.798278\pi\)
0.915733 + 0.401788i \(0.131611\pi\)
\(200\) 237.145 + 410.747i 0.0838434 + 0.145221i
\(201\) 1974.87 + 3019.54i 0.693017 + 1.05961i
\(202\) −507.067 878.266i −0.176619 0.305914i
\(203\) 2921.96 1629.80i 1.01025 0.563497i
\(204\) 3596.81 200.202i 1.23445 0.0687104i
\(205\) −526.565 −0.179400
\(206\) −350.448 + 606.994i −0.118529 + 0.205298i
\(207\) −63.1056 85.6830i −0.0211891 0.0287700i
\(208\) −315.347 546.197i −0.105122 0.182077i
\(209\) 593.576 1028.10i 0.196452 0.340265i
\(210\) −2810.72 1473.31i −0.923611 0.484132i
\(211\) 2025.80 + 3508.78i 0.660955 + 1.14481i 0.980365 + 0.197191i \(0.0631820\pi\)
−0.319410 + 0.947617i \(0.603485\pi\)
\(212\) −2329.04 + 4034.01i −0.754524 + 1.30687i
\(213\) −656.307 1003.48i −0.211124 0.322805i
\(214\) −4541.73 7866.51i −1.45078 2.51282i
\(215\) −1860.60 3222.66i −0.590195 1.02225i
\(216\) −1028.73 + 173.213i −0.324057 + 0.0545632i
\(217\) −4301.36 2569.03i −1.34560 0.803674i
\(218\) −598.420 + 1036.49i −0.185918 + 0.322020i
\(219\) −2677.35 + 149.024i −0.826113 + 0.0459822i
\(220\) 981.128 0.300671
\(221\) 957.383 0.291405
\(222\) −2176.55 + 4306.20i −0.658020 + 1.30186i
\(223\) −1678.34 + 2906.97i −0.503990 + 0.872937i 0.495999 + 0.868323i \(0.334802\pi\)
−0.999989 + 0.00461387i \(0.998531\pi\)
\(224\) 4080.41 + 2437.06i 1.21711 + 0.726933i
\(225\) −1711.55 + 191.125i −0.507126 + 0.0566296i
\(226\) 990.591 + 1715.75i 0.291562 + 0.505001i
\(227\) −2576.32 4462.32i −0.753289 1.30473i −0.946221 0.323522i \(-0.895133\pi\)
0.192932 0.981212i \(-0.438200\pi\)
\(228\) 2115.63 4185.66i 0.614521 1.21580i
\(229\) −584.060 + 1011.62i −0.168540 + 0.291921i −0.937907 0.346887i \(-0.887239\pi\)
0.769367 + 0.638808i \(0.220572\pi\)
\(230\) 64.9841 + 112.556i 0.0186301 + 0.0322683i
\(231\) 1044.23 661.099i 0.297426 0.188299i
\(232\) −671.652 + 1163.34i −0.190070 + 0.329210i
\(233\) 1781.39 + 3085.45i 0.500869 + 0.867530i 0.999999 + 0.00100361i \(0.000319458\pi\)
−0.499131 + 0.866527i \(0.666347\pi\)
\(234\) −1524.97 + 170.291i −0.426029 + 0.0475737i
\(235\) −2006.30 + 3475.02i −0.556923 + 0.964618i
\(236\) 7007.48 1.93283
\(237\) −2683.92 4103.66i −0.735608 1.12473i
\(238\) −4840.26 + 2699.79i −1.31827 + 0.735301i
\(239\) 3121.45 + 5406.50i 0.844810 + 1.46325i 0.885786 + 0.464094i \(0.153620\pi\)
−0.0409763 + 0.999160i \(0.513047\pi\)
\(240\) −1898.64 + 105.680i −0.510652 + 0.0284234i
\(241\) 1461.57 + 2531.52i 0.390657 + 0.676637i 0.992536 0.121950i \(-0.0389147\pi\)
−0.601880 + 0.798587i \(0.705581\pi\)
\(242\) 2457.34 4256.24i 0.652743 1.13058i
\(243\) 920.937 3674.34i 0.243120 0.969996i
\(244\) 3678.10 0.965025
\(245\) 2682.46 + 79.4413i 0.699495 + 0.0207156i
\(246\) 664.888 1315.45i 0.172324 0.340934i
\(247\) 623.210 1079.43i 0.160542 0.278067i
\(248\) 2011.55 0.515055
\(249\) −876.705 + 48.7982i −0.223128 + 0.0124195i
\(250\) 6225.44 1.57493
\(251\) −6272.12 −1.57726 −0.788631 0.614867i \(-0.789210\pi\)
−0.788631 + 0.614867i \(0.789210\pi\)
\(252\) 3973.81 2836.96i 0.993360 0.709172i
\(253\) −50.6165 −0.0125780
\(254\) −973.766 −0.240549
\(255\) 1302.12 2576.18i 0.319773 0.632654i
\(256\) 1745.45 0.426136
\(257\) −1099.26 + 1903.97i −0.266809 + 0.462127i −0.968036 0.250811i \(-0.919303\pi\)
0.701227 + 0.712938i \(0.252636\pi\)
\(258\) 10400.1 578.878i 2.50962 0.139688i
\(259\) 60.3990 4079.83i 0.0144904 0.978797i
\(260\) 1030.11 0.245711
\(261\) −2892.55 3927.42i −0.685994 0.931423i
\(262\) −3583.13 + 6206.16i −0.844910 + 1.46343i
\(263\) 1989.94 + 3446.68i 0.466559 + 0.808103i 0.999270 0.0381935i \(-0.0121603\pi\)
−0.532712 + 0.846297i \(0.678827\pi\)
\(264\) −223.840 + 442.856i −0.0521834 + 0.103242i
\(265\) 1866.25 + 3232.43i 0.432613 + 0.749308i
\(266\) −106.809 + 7214.74i −0.0246199 + 1.66302i
\(267\) 700.695 1386.29i 0.160606 0.317751i
\(268\) 6779.90 1.54533
\(269\) 533.462 923.984i 0.120914 0.209429i −0.799215 0.601046i \(-0.794751\pi\)
0.920128 + 0.391617i \(0.128084\pi\)
\(270\) −1615.87 + 4335.10i −0.364217 + 0.977133i
\(271\) 1680.55 + 2910.80i 0.376702 + 0.652467i 0.990580 0.136934i \(-0.0437248\pi\)
−0.613878 + 0.789401i \(0.710391\pi\)
\(272\) −1660.51 + 2876.08i −0.370158 + 0.641133i
\(273\) 1096.37 694.104i 0.243059 0.153880i
\(274\) −2757.81 4776.67i −0.608050 1.05317i
\(275\) −409.586 + 709.423i −0.0898143 + 0.155563i
\(276\) −199.656 + 11.1130i −0.0435430 + 0.00242365i
\(277\) −1936.26 3353.70i −0.419995 0.727453i 0.575944 0.817489i \(-0.304635\pi\)
−0.995938 + 0.0900370i \(0.971301\pi\)
\(278\) −6535.33 11319.5i −1.40994 2.44209i
\(279\) −2927.50 + 6691.78i −0.628190 + 1.43594i
\(280\) −940.987 + 524.862i −0.200838 + 0.112023i
\(281\) −3158.92 + 5471.41i −0.670624 + 1.16156i 0.307103 + 0.951676i \(0.400640\pi\)
−0.977727 + 0.209879i \(0.932693\pi\)
\(282\) −6147.83 9399.94i −1.29822 1.98496i
\(283\) 3849.25 0.808531 0.404265 0.914642i \(-0.367527\pi\)
0.404265 + 0.914642i \(0.367527\pi\)
\(284\) −2253.16 −0.470777
\(285\) −2056.98 3145.09i −0.427526 0.653681i
\(286\) −364.937 + 632.089i −0.0754516 + 0.130686i
\(287\) −18.4505 + 1246.30i −0.00379478 + 0.256330i
\(288\) 2777.12 6348.03i 0.568206 1.29882i
\(289\) −64.1252 111.068i −0.0130521 0.0226070i
\(290\) 2978.66 + 5159.18i 0.603147 + 1.04468i
\(291\) 4039.78 224.858i 0.813802 0.0452970i
\(292\) −2519.44 + 4363.79i −0.504927 + 0.874560i
\(293\) −1683.32 2915.59i −0.335633 0.581333i 0.647973 0.761663i \(-0.275617\pi\)
−0.983606 + 0.180330i \(0.942284\pi\)
\(294\) −3585.57 + 6600.92i −0.711274 + 1.30943i
\(295\) 2807.53 4862.78i 0.554104 0.959736i
\(296\) 819.106 + 1418.73i 0.160843 + 0.278589i
\(297\) −1147.47 1389.15i −0.224186 0.271403i
\(298\) −2303.77 + 3990.25i −0.447832 + 0.775668i
\(299\) −53.1436 −0.0102788
\(300\) −1459.85 + 2888.23i −0.280948 + 0.555841i
\(301\) −7692.72 + 4290.83i −1.47309 + 0.821660i
\(302\) −4195.36 7266.57i −0.799390 1.38458i
\(303\) 563.995 1115.84i 0.106933 0.211561i
\(304\) 2161.82 + 3744.39i 0.407859 + 0.706432i
\(305\) 1473.62 2552.38i 0.276653 0.479177i
\(306\) 4791.55 + 6505.83i 0.895147 + 1.21540i
\(307\) 6559.35 1.21942 0.609710 0.792625i \(-0.291286\pi\)
0.609710 + 0.792625i \(0.291286\pi\)
\(308\) 34.3782 2322.18i 0.00635999 0.429605i
\(309\) −862.762 + 48.0221i −0.158838 + 0.00884105i
\(310\) 4460.43 7725.70i 0.817212 1.41545i
\(311\) −8253.01 −1.50478 −0.752388 0.658720i \(-0.771098\pi\)
−0.752388 + 0.658720i \(0.771098\pi\)
\(312\) −235.016 + 464.966i −0.0426447 + 0.0843703i
\(313\) −1001.49 −0.180855 −0.0904275 0.995903i \(-0.528823\pi\)
−0.0904275 + 0.995903i \(0.528823\pi\)
\(314\) 7767.78 1.39605
\(315\) −376.585 3894.21i −0.0673592 0.696552i
\(316\) −9214.13 −1.64030
\(317\) 6303.39 1.11683 0.558413 0.829563i \(-0.311410\pi\)
0.558413 + 0.829563i \(0.311410\pi\)
\(318\) −10431.6 + 580.634i −1.83955 + 0.102391i
\(319\) −2320.09 −0.407211
\(320\) −2767.47 + 4793.40i −0.483457 + 0.837373i
\(321\) 5051.63 9994.39i 0.878362 1.73780i
\(322\) 268.679 149.863i 0.0464997 0.0259365i
\(323\) −6563.23 −1.13061
\(324\) −4831.18 5227.55i −0.828392 0.896357i
\(325\) −430.034 + 744.842i −0.0733970 + 0.127127i
\(326\) 1286.64 + 2228.52i 0.218590 + 0.378609i
\(327\) −1473.24 + 82.0019i −0.249145 + 0.0138676i
\(328\) −250.219 433.391i −0.0421220 0.0729574i
\(329\) 8154.53 + 4870.37i 1.36649 + 0.816146i
\(330\) 1204.52 + 1841.69i 0.200929 + 0.307217i
\(331\) −4993.57 −0.829218 −0.414609 0.910000i \(-0.636082\pi\)
−0.414609 + 0.910000i \(0.636082\pi\)
\(332\) −824.994 + 1428.93i −0.136378 + 0.236213i
\(333\) −5911.75 + 660.152i −0.972858 + 0.108637i
\(334\) −4791.76 8299.58i −0.785011 1.35968i
\(335\) 2716.35 4704.85i 0.443015 0.767324i
\(336\) 183.601 + 4497.48i 0.0298102 + 0.730231i
\(337\) 981.382 + 1699.80i 0.158633 + 0.274760i 0.934376 0.356289i \(-0.115958\pi\)
−0.775743 + 0.631049i \(0.782625\pi\)
\(338\) 4246.76 7355.60i 0.683412 1.18370i
\(339\) −1101.80 + 2179.86i −0.176524 + 0.349244i
\(340\) −2712.11 4697.51i −0.432602 0.749289i
\(341\) 1737.13 + 3008.80i 0.275868 + 0.477817i
\(342\) 10454.3 1167.41i 1.65293 0.184579i
\(343\) 282.017 6346.19i 0.0443950 0.999014i
\(344\) 1768.28 3062.75i 0.277149 0.480036i
\(345\) −72.2798 + 143.002i −0.0112795 + 0.0223158i
\(346\) 2823.08 0.438640
\(347\) 586.148 0.0906804 0.0453402 0.998972i \(-0.485563\pi\)
0.0453402 + 0.998972i \(0.485563\pi\)
\(348\) −9151.56 + 509.384i −1.40970 + 0.0784651i
\(349\) −4666.91 + 8083.33i −0.715800 + 1.23980i 0.246851 + 0.969054i \(0.420604\pi\)
−0.962650 + 0.270748i \(0.912729\pi\)
\(350\) 73.7016 4978.39i 0.0112558 0.760304i
\(351\) −1204.76 1458.51i −0.183206 0.221793i
\(352\) −1647.89 2854.24i −0.249526 0.432191i
\(353\) −1423.19 2465.04i −0.214586 0.371673i 0.738559 0.674189i \(-0.235507\pi\)
−0.953144 + 0.302516i \(0.902173\pi\)
\(354\) 8603.00 + 13153.8i 1.29165 + 1.97491i
\(355\) −902.723 + 1563.56i −0.134962 + 0.233761i
\(356\) −1459.43 2527.81i −0.217275 0.376331i
\(357\) −6051.80 3172.19i −0.897185 0.470280i
\(358\) −4684.82 + 8114.35i −0.691622 + 1.19792i
\(359\) 3171.73 + 5493.59i 0.466288 + 0.807635i 0.999259 0.0384991i \(-0.0122577\pi\)
−0.532971 + 0.846134i \(0.678924\pi\)
\(360\) 931.518 + 1264.79i 0.136376 + 0.185167i
\(361\) −842.846 + 1459.85i −0.122882 + 0.212837i
\(362\) −7777.17 −1.12917
\(363\) 6049.68 336.731i 0.874727 0.0486881i
\(364\) 36.0945 2438.11i 0.00519744 0.351077i
\(365\) 2018.81 + 3496.68i 0.289505 + 0.501437i
\(366\) 4515.55 + 6904.21i 0.644895 + 0.986034i
\(367\) −717.276 1242.36i −0.102020 0.176704i 0.810497 0.585743i \(-0.199197\pi\)
−0.912517 + 0.409039i \(0.865864\pi\)
\(368\) 92.1735 159.649i 0.0130567 0.0226149i
\(369\) 1805.91 201.662i 0.254774 0.0284501i
\(370\) 7265.17 1.02081
\(371\) 7716.05 4303.85i 1.07978 0.602277i
\(372\) 7512.67 + 11486.7i 1.04708 + 1.60097i
\(373\) 1366.25 2366.42i 0.189656 0.328494i −0.755479 0.655172i \(-0.772596\pi\)
0.945136 + 0.326678i \(0.105929\pi\)
\(374\) 3843.26 0.531365
\(375\) 4200.96 + 6423.21i 0.578498 + 0.884515i
\(376\) −3813.50 −0.523049
\(377\) −2435.92 −0.332776
\(378\) 10203.9 + 3976.40i 1.38844 + 0.541069i
\(379\) 12802.3 1.73512 0.867560 0.497332i \(-0.165687\pi\)
0.867560 + 0.497332i \(0.165687\pi\)
\(380\) −7061.81 −0.953324
\(381\) −657.103 1004.70i −0.0883581 0.135098i
\(382\) 9282.41 1.24327
\(383\) 4543.28 7869.19i 0.606138 1.04986i −0.385733 0.922611i \(-0.626051\pi\)
0.991871 0.127251i \(-0.0406154\pi\)
\(384\) −2641.18 4038.33i −0.350996 0.536667i
\(385\) −1597.68 954.230i −0.211494 0.126317i
\(386\) 2911.47 0.383912
\(387\) 7615.31 + 10339.8i 1.00028 + 1.35815i
\(388\) 3801.51 6584.40i 0.497403 0.861527i
\(389\) −2229.58 3861.74i −0.290602 0.503337i 0.683350 0.730091i \(-0.260522\pi\)
−0.973952 + 0.226754i \(0.927189\pi\)
\(390\) 1264.65 + 1933.64i 0.164201 + 0.251060i
\(391\) 139.918 + 242.345i 0.0180971 + 0.0313450i
\(392\) 1209.30 + 2245.56i 0.155813 + 0.289331i
\(393\) −8821.23 + 490.998i −1.13224 + 0.0630218i
\(394\) 6546.40 0.837063
\(395\) −3691.62 + 6394.07i −0.470241 + 0.814482i
\(396\) −3364.87 + 375.748i −0.426998 + 0.0476819i
\(397\) −19.8448 34.3721i −0.00250877 0.00434531i 0.864768 0.502171i \(-0.167465\pi\)
−0.867277 + 0.497826i \(0.834132\pi\)
\(398\) 1300.42 2252.39i 0.163779 0.283673i
\(399\) −7516.02 + 4758.35i −0.943036 + 0.597031i
\(400\) −1491.72 2583.74i −0.186465 0.322968i
\(401\) −4448.30 + 7704.67i −0.553958 + 0.959484i 0.444026 + 0.896014i \(0.353550\pi\)
−0.997984 + 0.0634697i \(0.979783\pi\)
\(402\) 8323.59 + 12726.6i 1.03269 + 1.57897i
\(403\) 1823.86 + 3159.01i 0.225441 + 0.390475i
\(404\) −1174.71 2034.66i −0.144663 0.250564i
\(405\) −5563.21 + 1258.15i −0.682564 + 0.154366i
\(406\) 12315.3 6869.24i 1.50542 0.839691i
\(407\) −1414.72 + 2450.37i −0.172298 + 0.298428i
\(408\) 2739.09 152.460i 0.332366 0.0184998i
\(409\) −2047.90 −0.247584 −0.123792 0.992308i \(-0.539506\pi\)
−0.123792 + 0.992308i \(0.539506\pi\)
\(410\) −2219.35 −0.267331
\(411\) 3067.43 6068.75i 0.368139 0.728344i
\(412\) −811.874 + 1406.21i −0.0970829 + 0.168153i
\(413\) −11411.1 6815.37i −1.35957 0.812016i
\(414\) −265.975 361.134i −0.0315748 0.0428714i
\(415\) 661.063 + 1145.00i 0.0781936 + 0.135435i
\(416\) −1730.17 2996.74i −0.203914 0.353190i
\(417\) 7269.04 14381.4i 0.853636 1.68888i
\(418\) 2501.78 4333.21i 0.292742 0.507044i
\(419\) −1185.50 2053.34i −0.138223 0.239409i 0.788601 0.614905i \(-0.210806\pi\)
−0.926824 + 0.375496i \(0.877472\pi\)
\(420\) −6511.53 3413.17i −0.756500 0.396537i
\(421\) −5061.24 + 8766.33i −0.585914 + 1.01483i 0.408847 + 0.912603i \(0.365931\pi\)
−0.994761 + 0.102230i \(0.967402\pi\)
\(422\) 8538.25 + 14788.7i 0.984918 + 1.70593i
\(423\) 5549.96 12686.3i 0.637939 1.45822i
\(424\) −1773.64 + 3072.04i −0.203150 + 0.351867i
\(425\) 4528.83 0.516895
\(426\) −2766.18 4229.44i −0.314605 0.481026i
\(427\) −5989.46 3577.26i −0.678806 0.405423i
\(428\) −10521.7 18224.1i −1.18829 2.05817i
\(429\) −898.431 + 50.0075i −0.101111 + 0.00562794i
\(430\) −7842.00 13582.7i −0.879476 1.52330i
\(431\) −2720.32 + 4711.74i −0.304022 + 0.526581i −0.977043 0.213042i \(-0.931663\pi\)
0.673021 + 0.739623i \(0.264996\pi\)
\(432\) 6471.08 1089.57i 0.720695 0.121347i
\(433\) 3627.07 0.402554 0.201277 0.979534i \(-0.435491\pi\)
0.201277 + 0.979534i \(0.435491\pi\)
\(434\) −18129.2 10827.9i −2.00514 1.19759i
\(435\) −3313.06 + 6554.73i −0.365171 + 0.722472i
\(436\) −1386.34 + 2401.22i −0.152279 + 0.263756i
\(437\) 364.319 0.0398805
\(438\) −11284.4 + 628.101i −1.23103 + 0.0685201i
\(439\) 9578.47 1.04136 0.520678 0.853753i \(-0.325679\pi\)
0.520678 + 0.853753i \(0.325679\pi\)
\(440\) 747.163 0.0809536
\(441\) −9230.18 + 754.866i −0.996673 + 0.0815102i
\(442\) 4035.14 0.434236
\(443\) −16845.9 −1.80671 −0.903353 0.428898i \(-0.858902\pi\)
−0.903353 + 0.428898i \(0.858902\pi\)
\(444\) −5042.36 + 9976.05i −0.538963 + 1.06631i
\(445\) −2338.87 −0.249153
\(446\) −7073.80 + 12252.2i −0.751018 + 1.30080i
\(447\) −5671.62 + 315.688i −0.600130 + 0.0334038i
\(448\) 11248.3 + 6718.13i 1.18623 + 0.708486i
\(449\) 16837.7 1.76976 0.884879 0.465820i \(-0.154241\pi\)
0.884879 + 0.465820i \(0.154241\pi\)
\(450\) −7213.77 + 805.547i −0.755690 + 0.0843863i
\(451\) 432.166 748.533i 0.0451217 0.0781531i
\(452\) 2294.87 + 3974.84i 0.238809 + 0.413630i
\(453\) 4666.36 9232.16i 0.483984 0.957538i
\(454\) −10858.6 18807.6i −1.12251 1.94424i
\(455\) −1677.45 1001.87i −0.172835 0.103227i
\(456\) 1611.12 3187.52i 0.165455 0.327345i
\(457\) −10396.4 −1.06416 −0.532082 0.846693i \(-0.678590\pi\)
−0.532082 + 0.846693i \(0.678590\pi\)
\(458\) −2461.67 + 4263.74i −0.251149 + 0.435003i
\(459\) −3479.14 + 9333.95i −0.353796 + 0.949175i
\(460\) 150.547 + 260.755i 0.0152593 + 0.0264299i
\(461\) 1955.80 3387.54i 0.197593 0.342241i −0.750154 0.661263i \(-0.770021\pi\)
0.947748 + 0.319021i \(0.103354\pi\)
\(462\) 4401.19 2786.37i 0.443208 0.280593i
\(463\) 1630.69 + 2824.43i 0.163681 + 0.283504i 0.936186 0.351505i \(-0.114330\pi\)
−0.772505 + 0.635009i \(0.780997\pi\)
\(464\) 4224.92 7317.78i 0.422709 0.732154i
\(465\) 10981.1 611.216i 1.09513 0.0609558i
\(466\) 7508.12 + 13004.4i 0.746367 + 1.29274i
\(467\) 1995.37 + 3456.08i 0.197719 + 0.342459i 0.947788 0.318900i \(-0.103313\pi\)
−0.750069 + 0.661359i \(0.769980\pi\)
\(468\) −3532.87 + 394.507i −0.348946 + 0.0389660i
\(469\) −11040.5 6594.03i −1.08700 0.649219i
\(470\) −8456.09 + 14646.4i −0.829895 + 1.43742i
\(471\) 5241.74 + 8014.55i 0.512796 + 0.784057i
\(472\) 5336.44 0.520402
\(473\) 6108.18 0.593772
\(474\) −11312.1 17296.0i −1.09616 1.67601i
\(475\) 2948.05 5106.17i 0.284770 0.493236i
\(476\) −11213.3 + 6254.54i −1.07975 + 0.602261i
\(477\) −7638.41 10371.2i −0.733205 0.995524i
\(478\) 13156.2 + 22787.1i 1.25889 + 2.18046i
\(479\) 319.397 + 553.212i 0.0304669 + 0.0527702i 0.880857 0.473383i \(-0.156967\pi\)
−0.850390 + 0.526153i \(0.823634\pi\)
\(480\) −10417.0 + 579.818i −0.990557 + 0.0551353i
\(481\) −1485.35 + 2572.71i −0.140803 + 0.243878i
\(482\) 6160.19 + 10669.8i 0.582134 + 1.00829i
\(483\) 335.930 + 176.086i 0.0316467 + 0.0165884i
\(484\) 5692.86 9860.31i 0.534641 0.926025i
\(485\) −3046.13 5276.04i −0.285191 0.493965i
\(486\) 3881.53 15486.5i 0.362284 1.44543i
\(487\) −2751.31 + 4765.41i −0.256003 + 0.443411i −0.965168 0.261632i \(-0.915739\pi\)
0.709164 + 0.705043i \(0.249073\pi\)
\(488\) 2801.00 0.259826
\(489\) −1431.09 + 2831.33i −0.132343 + 0.261835i
\(490\) 11305.9 + 334.826i 1.04235 + 0.0308692i
\(491\) −442.623 766.646i −0.0406829 0.0704649i 0.844967 0.534819i \(-0.179620\pi\)
−0.885650 + 0.464354i \(0.846287\pi\)
\(492\) 1540.33 3047.46i 0.141145 0.279248i
\(493\) 6413.37 + 11108.3i 0.585890 + 1.01479i
\(494\) 2626.68 4549.55i 0.239231 0.414360i
\(495\) −1087.38 + 2485.57i −0.0987355 + 0.225693i
\(496\) −12653.4 −1.14547
\(497\) 3669.08 + 2191.39i 0.331148 + 0.197781i
\(498\) −3695.10 + 205.673i −0.332493 + 0.0185069i
\(499\) 243.186 421.210i 0.0218166 0.0377875i −0.854911 0.518775i \(-0.826388\pi\)
0.876728 + 0.480987i \(0.159722\pi\)
\(500\) 14422.3 1.28997
\(501\) 5329.73 10544.6i 0.475279 0.940315i
\(502\) −26435.5 −2.35035
\(503\) 1146.99 0.101673 0.0508366 0.998707i \(-0.483811\pi\)
0.0508366 + 0.998707i \(0.483811\pi\)
\(504\) 3026.19 2160.44i 0.267455 0.190940i
\(505\) −1882.58 −0.165888
\(506\) −213.337 −0.0187430
\(507\) 10455.0 581.936i 0.915826 0.0509757i
\(508\) −2255.90 −0.197026
\(509\) −7512.28 + 13011.6i −0.654177 + 1.13307i 0.327923 + 0.944705i \(0.393651\pi\)
−0.982100 + 0.188363i \(0.939682\pi\)
\(510\) 5488.14 10858.0i 0.476507 0.942746i
\(511\) 8346.83 4655.69i 0.722588 0.403044i
\(512\) 14785.8 1.27626
\(513\) 8259.10 + 9998.62i 0.710816 + 0.860526i
\(514\) −4633.12 + 8024.79i −0.397584 + 0.688635i
\(515\) 650.550 + 1126.79i 0.0556634 + 0.0964119i
\(516\) 24093.6 1341.07i 2.05554 0.114414i
\(517\) −3293.25 5704.08i −0.280149 0.485232i
\(518\) 254.567 17195.5i 0.0215928 1.45855i
\(519\) 1905.03 + 2912.76i 0.161121 + 0.246351i
\(520\) 784.465 0.0661559
\(521\) 7697.96 13333.3i 0.647320 1.12119i −0.336440 0.941705i \(-0.609223\pi\)
0.983760 0.179486i \(-0.0574436\pi\)
\(522\) −12191.4 16553.2i −1.02223 1.38795i
\(523\) −4010.52 6946.43i −0.335311 0.580776i 0.648233 0.761442i \(-0.275508\pi\)
−0.983545 + 0.180665i \(0.942175\pi\)
\(524\) −8300.93 + 14377.6i −0.692038 + 1.19864i
\(525\) 5186.28 3283.41i 0.431139 0.272952i
\(526\) 8387.12 + 14526.9i 0.695239 + 1.20419i
\(527\) 9603.80 16634.3i 0.793830 1.37495i
\(528\) 1408.03 2785.72i 0.116054 0.229608i
\(529\) 6075.73 + 10523.5i 0.499362 + 0.864920i
\(530\) 7865.78 + 13623.9i 0.644656 + 1.11658i
\(531\) −7766.36 + 17752.6i −0.634711 + 1.45084i
\(532\) −247.442 + 16714.2i −0.0201653 + 1.36213i
\(533\) 453.742 785.904i 0.0368738 0.0638673i
\(534\) 2953.26 5842.88i 0.239326 0.473495i
\(535\) −16862.0 −1.36263
\(536\) 5163.13 0.416069
\(537\) −11533.5 + 641.964i −0.926827 + 0.0515881i
\(538\) 2248.42 3894.37i 0.180179 0.312079i
\(539\) −2314.50 + 3748.02i −0.184958 + 0.299516i
\(540\) −3743.43 + 10043.0i −0.298318 + 0.800338i
\(541\) −11807.9 20451.8i −0.938373 1.62531i −0.768506 0.639843i \(-0.778999\pi\)
−0.169868 0.985467i \(-0.554334\pi\)
\(542\) 7083.12 + 12268.3i 0.561340 + 0.972269i
\(543\) −5248.08 8024.24i −0.414764 0.634168i
\(544\) −9110.46 + 15779.8i −0.718029 + 1.24366i
\(545\) 1110.87 + 1924.08i 0.0873109 + 0.151227i
\(546\) 4620.93 2925.49i 0.362193 0.229303i
\(547\) 8677.56 15030.0i 0.678292 1.17484i −0.297203 0.954814i \(-0.596054\pi\)
0.975495 0.220022i \(-0.0706128\pi\)
\(548\) −6388.95 11066.0i −0.498034 0.862620i
\(549\) −4076.42 + 9318.00i −0.316898 + 0.724376i
\(550\) −1726.31 + 2990.05i −0.133836 + 0.231811i
\(551\) 16699.2 1.29112
\(552\) −152.045 + 8.46296i −0.0117237 + 0.000652550i
\(553\) 15004.4 + 8961.52i 1.15380 + 0.689119i
\(554\) −8160.88 14135.1i −0.625853 1.08401i
\(555\) 4902.58 + 7495.97i 0.374961 + 0.573309i
\(556\) −15140.2 26223.6i −1.15483 2.00023i
\(557\) −134.682 + 233.276i −0.0102454 + 0.0177455i −0.871103 0.491101i \(-0.836595\pi\)
0.860857 + 0.508846i \(0.169928\pi\)
\(558\) −12338.7 + 28204.3i −0.936093 + 2.13975i
\(559\) 6413.13 0.485235
\(560\) 5919.13 3301.56i 0.446659 0.249137i
\(561\) 2593.46 + 3965.36i 0.195180 + 0.298427i
\(562\) −13314.1 + 23060.7i −0.999327 + 1.73088i
\(563\) −6029.12 −0.451327 −0.225663 0.974205i \(-0.572455\pi\)
−0.225663 + 0.974205i \(0.572455\pi\)
\(564\) −14242.5 21776.6i −1.06333 1.62581i
\(565\) 3677.74 0.273847
\(566\) 16223.7 1.20483
\(567\) 2782.92 + 13211.3i 0.206123 + 0.978526i
\(568\) −1715.86 −0.126753
\(569\) −2762.25 −0.203514 −0.101757 0.994809i \(-0.532446\pi\)
−0.101757 + 0.994809i \(0.532446\pi\)
\(570\) −8669.69 13255.8i −0.637076 0.974079i
\(571\) 1676.83 0.122895 0.0614477 0.998110i \(-0.480428\pi\)
0.0614477 + 0.998110i \(0.480428\pi\)
\(572\) −845.439 + 1464.34i −0.0618000 + 0.107041i
\(573\) 6263.83 + 9577.30i 0.456676 + 0.698250i
\(574\) −77.7647 + 5252.85i −0.00565476 + 0.381968i
\(575\) −251.392 −0.0182326
\(576\) 7655.55 17499.3i 0.553787 1.26586i
\(577\) 1863.78 3228.16i 0.134471 0.232911i −0.790924 0.611914i \(-0.790400\pi\)
0.925395 + 0.379003i \(0.123733\pi\)
\(578\) −270.272 468.126i −0.0194496 0.0336876i
\(579\) 1964.68 + 3003.96i 0.141018 + 0.215614i
\(580\) 6900.57 + 11952.1i 0.494018 + 0.855665i
\(581\) 2733.19 1524.51i 0.195167 0.108860i
\(582\) 17026.7 947.724i 1.21268 0.0674990i
\(583\) −6126.70 −0.435235
\(584\) −1918.64 + 3323.18i −0.135948 + 0.235469i
\(585\) −1141.67 + 2609.66i −0.0806874 + 0.184438i
\(586\) −7094.78 12288.5i −0.500141 0.866270i
\(587\) 3305.15 5724.68i 0.232399 0.402526i −0.726115 0.687573i \(-0.758676\pi\)
0.958513 + 0.285047i \(0.0920093\pi\)
\(588\) −8306.59 + 15292.2i −0.582582 + 1.07251i
\(589\) −12503.2 21656.2i −0.874680 1.51499i
\(590\) 11833.1 20495.5i 0.825694 1.43014i
\(591\) 4417.55 + 6754.36i 0.307468 + 0.470114i
\(592\) −5152.46 8924.32i −0.357711 0.619573i
\(593\) −2387.35 4135.01i −0.165323 0.286348i 0.771447 0.636294i \(-0.219533\pi\)
−0.936770 + 0.349946i \(0.886200\pi\)
\(594\) −4836.33 5854.95i −0.334069 0.404430i
\(595\) −152.295 + 10287.2i −0.0104933 + 0.708799i
\(596\) −5337.09 + 9244.11i −0.366805 + 0.635325i
\(597\) 3201.47 178.197i 0.219476 0.0122163i
\(598\) −223.988 −0.0153169
\(599\) 13656.0 0.931504 0.465752 0.884915i \(-0.345784\pi\)
0.465752 + 0.884915i \(0.345784\pi\)
\(600\) −1111.72 + 2199.49i −0.0756432 + 0.149656i
\(601\) −3519.77 + 6096.42i −0.238893 + 0.413774i −0.960397 0.278636i \(-0.910118\pi\)
0.721504 + 0.692410i \(0.243451\pi\)
\(602\) −32423.0 + 18084.8i −2.19512 + 1.22439i
\(603\) −7514.13 + 17176.0i −0.507461 + 1.15997i
\(604\) −9719.27 16834.3i −0.654754 1.13407i
\(605\) −4561.65 7901.01i −0.306541 0.530945i
\(606\) 2377.10 4702.98i 0.159345 0.315257i
\(607\) 8478.88 14685.8i 0.566964 0.982010i −0.429900 0.902876i \(-0.641451\pi\)
0.996864 0.0791336i \(-0.0252154\pi\)
\(608\) 11861.0 + 20543.8i 0.791160 + 1.37033i
\(609\) 15397.9 + 8071.18i 1.02456 + 0.537045i
\(610\) 6210.96 10757.7i 0.412253 0.714043i
\(611\) −3457.67 5988.86i −0.228940 0.396536i
\(612\) 11100.5 + 15071.9i 0.733185 + 0.995498i
\(613\) −9611.09 + 16646.9i −0.633260 + 1.09684i 0.353621 + 0.935389i \(0.384950\pi\)
−0.986881 + 0.161450i \(0.948383\pi\)
\(614\) 27646.1 1.81711
\(615\) −1497.63 2289.85i −0.0981955 0.150139i
\(616\) 26.1801 1768.42i 0.00171238 0.115668i
\(617\) 279.127 + 483.463i 0.0182127 + 0.0315454i 0.874988 0.484144i \(-0.160869\pi\)
−0.856775 + 0.515690i \(0.827536\pi\)
\(618\) −3636.34 + 202.402i −0.236691 + 0.0131744i
\(619\) 3947.97 + 6838.09i 0.256353 + 0.444016i 0.965262 0.261283i \(-0.0841457\pi\)
−0.708909 + 0.705300i \(0.750812\pi\)
\(620\) 10333.4 17897.9i 0.669352 1.15935i
\(621\) 193.124 518.120i 0.0124796 0.0334806i
\(622\) −34784.5 −2.24233
\(623\) −81.9527 + 5535.74i −0.00527025 + 0.355995i
\(624\) 1478.33 2924.80i 0.0948406 0.187637i
\(625\) 1791.71 3103.33i 0.114669 0.198613i
\(626\) −4221.05 −0.269500
\(627\) 6159.09 342.821i 0.392297 0.0218356i
\(628\) 17995.4 1.14346
\(629\) 15642.7 0.991599
\(630\) −1587.21 16413.2i −0.100375 1.03796i
\(631\) 709.050 0.0447335 0.0223667 0.999750i \(-0.492880\pi\)
0.0223667 + 0.999750i \(0.492880\pi\)
\(632\) −7016.88 −0.441640
\(633\) −9496.83 + 18789.0i −0.596311 + 1.17977i
\(634\) 26567.3 1.66423
\(635\) −903.819 + 1565.46i −0.0564834 + 0.0978321i
\(636\) −24166.7 + 1345.14i −1.50672 + 0.0838652i
\(637\) −2430.05 + 3935.15i −0.151149 + 0.244766i
\(638\) −9778.64 −0.606802
\(639\) 2497.17 5708.10i 0.154595 0.353379i
\(640\) −3632.84 + 6292.26i −0.224376 + 0.388630i
\(641\) −3261.23 5648.61i −0.200953 0.348060i 0.747883 0.663831i \(-0.231070\pi\)
−0.948836 + 0.315770i \(0.897737\pi\)
\(642\) 21291.4 42124.0i 1.30889 2.58956i
\(643\) 5565.74 + 9640.15i 0.341355 + 0.591245i 0.984685 0.174345i \(-0.0557807\pi\)
−0.643329 + 0.765590i \(0.722447\pi\)
\(644\) 622.441 347.184i 0.0380864 0.0212438i
\(645\) 8722.40 17256.8i 0.532472 1.05347i
\(646\) −27662.4 −1.68477
\(647\) −9778.93 + 16937.6i −0.594203 + 1.02919i 0.399456 + 0.916753i \(0.369199\pi\)
−0.993659 + 0.112438i \(0.964134\pi\)
\(648\) −3679.11 3980.96i −0.223039 0.241338i
\(649\) 4608.42 + 7982.02i 0.278731 + 0.482776i
\(650\) −1812.49 + 3139.33i −0.109372 + 0.189438i
\(651\) −1061.88 26011.9i −0.0639300 1.56603i
\(652\) 2980.72 + 5162.76i 0.179040 + 0.310106i
\(653\) −590.302 + 1022.43i −0.0353756 + 0.0612724i −0.883171 0.469051i \(-0.844596\pi\)
0.847796 + 0.530323i \(0.177929\pi\)
\(654\) −6209.36 + 345.619i −0.371262 + 0.0206648i
\(655\) 6651.49 + 11520.7i 0.396787 + 0.687255i
\(656\) 1573.96 + 2726.18i 0.0936781 + 0.162255i
\(657\) −8262.84 11219.0i −0.490661 0.666205i
\(658\) 34369.4 + 20527.5i 2.03626 + 1.21618i
\(659\) −4039.50 + 6996.61i −0.238781 + 0.413580i −0.960365 0.278747i \(-0.910081\pi\)
0.721584 + 0.692327i \(0.243414\pi\)
\(660\) 2790.47 + 4266.59i 0.164574 + 0.251631i
\(661\) −1145.24 −0.0673898 −0.0336949 0.999432i \(-0.510727\pi\)
−0.0336949 + 0.999432i \(0.510727\pi\)
\(662\) −21046.7 −1.23565
\(663\) 2722.94 + 4163.33i 0.159503 + 0.243877i
\(664\) −628.262 + 1088.18i −0.0367188 + 0.0635988i
\(665\) 11499.5 + 6868.21i 0.670576 + 0.400508i
\(666\) −24916.6 + 2782.38i −1.44970 + 0.161885i
\(667\) −356.001 616.612i −0.0206663 0.0357951i
\(668\) −11100.9 19227.4i −0.642977 1.11367i
\(669\) −17414.8 + 969.327i −1.00642 + 0.0560184i
\(670\) 11448.8 19829.8i 0.660156 1.14342i
\(671\) 2418.87 + 4189.61i 0.139165 + 0.241041i
\(672\) 1007.33 + 24675.7i 0.0578256 + 1.41649i
\(673\) 10900.3 18879.9i 0.624333 1.08138i −0.364337 0.931267i \(-0.618704\pi\)
0.988669 0.150109i \(-0.0479625\pi\)
\(674\) 4136.29 + 7164.27i 0.236386 + 0.409432i
\(675\) −5699.04 6899.35i −0.324972 0.393417i
\(676\) 9838.35 17040.5i 0.559761 0.969534i
\(677\) −19232.8 −1.09184 −0.545922 0.837836i \(-0.683821\pi\)
−0.545922 + 0.837836i \(0.683821\pi\)
\(678\) −4643.84 + 9187.59i −0.263046 + 0.520424i
\(679\) −12594.3 + 7024.83i −0.711819 + 0.397037i
\(680\) −2065.36 3577.31i −0.116475 0.201741i
\(681\) 12077.7 23895.1i 0.679614 1.34458i
\(682\) 7321.59 + 12681.4i 0.411082 + 0.712015i
\(683\) 5221.24 9043.46i 0.292512 0.506645i −0.681891 0.731453i \(-0.738842\pi\)
0.974403 + 0.224809i \(0.0721757\pi\)
\(684\) 24219.1 2704.50i 1.35386 0.151183i
\(685\) −10238.9 −0.571105
\(686\) 1188.63 26747.7i 0.0661549 1.48867i
\(687\) −6060.35 + 337.324i −0.336560 + 0.0187332i
\(688\) −11123.1 + 19265.8i −0.616372 + 1.06759i
\(689\) −6432.58 −0.355678
\(690\) −304.642 + 602.719i −0.0168080 + 0.0332538i
\(691\) −3888.90 −0.214096 −0.107048 0.994254i \(-0.534140\pi\)
−0.107048 + 0.994254i \(0.534140\pi\)
\(692\) 6540.15 0.359276
\(693\) 5844.84 + 2660.75i 0.320386 + 0.145849i
\(694\) 2470.48 0.135127
\(695\) −24263.5 −1.32427
\(696\) −6969.23 + 387.914i −0.379552 + 0.0211262i
\(697\) −4778.50 −0.259682
\(698\) −19669.9 + 34069.3i −1.06664 + 1.84748i
\(699\) −8351.04 + 16522.1i −0.451882 + 0.894025i
\(700\) 170.742 11533.3i 0.00921922 0.622740i
\(701\) −32491.0 −1.75060 −0.875298 0.483584i \(-0.839335\pi\)
−0.875298 + 0.483584i \(0.839335\pi\)
\(702\) −5077.79 6147.26i −0.273004 0.330503i
\(703\) 10182.7 17636.9i 0.546296 0.946213i
\(704\) −4542.67 7868.14i −0.243194 0.421224i
\(705\) −20817.9 + 1158.74i −1.11212 + 0.0619018i
\(706\) −5998.41 10389.5i −0.319763 0.553846i
\(707\) −65.9643 + 4455.76i −0.00350897 + 0.237024i
\(708\) 19930.3 + 30473.2i 1.05795 + 1.61759i
\(709\) 6744.02 0.357231 0.178616 0.983919i \(-0.442838\pi\)
0.178616 + 0.983919i \(0.442838\pi\)
\(710\) −3804.76 + 6590.04i −0.201113 + 0.348338i
\(711\) 10212.0 23342.9i 0.538648 1.23126i
\(712\) −1111.41 1925.02i −0.0584997 0.101324i
\(713\) −533.100 + 923.356i −0.0280010 + 0.0484992i
\(714\) −25506.9 13370.0i −1.33693 0.700785i
\(715\) 677.446 + 1173.37i 0.0354336 + 0.0613728i
\(716\) −10853.2 + 18798.3i −0.566485 + 0.981181i
\(717\) −14633.2 + 28951.0i −0.762184 + 1.50794i
\(718\) 13368.1 + 23154.2i 0.694836 + 1.20349i
\(719\) −10740.5 18603.0i −0.557095 0.964918i −0.997737 0.0672346i \(-0.978582\pi\)
0.440642 0.897683i \(-0.354751\pi\)
\(720\) −5859.57 7955.95i −0.303296 0.411807i
\(721\) 2689.72 1500.27i 0.138933 0.0774936i
\(722\) −3552.39 + 6152.93i −0.183111 + 0.317158i
\(723\) −6851.78 + 13555.9i −0.352449 + 0.697302i
\(724\) −18017.2 −0.924865
\(725\) −11523.0 −0.590278
\(726\) 25498.0 1419.24i 1.30347 0.0725523i
\(727\) 13189.8 22845.5i 0.672880 1.16546i −0.304203 0.952607i \(-0.598390\pi\)
0.977084 0.212856i \(-0.0682765\pi\)
\(728\) 27.4872 1856.71i 0.00139937 0.0945249i
\(729\) 18597.7 6445.53i 0.944863 0.327467i
\(730\) 8508.80 + 14737.7i 0.431404 + 0.747214i
\(731\) −16884.7 29245.1i −0.854312 1.47971i
\(732\) 10461.1 + 15994.8i 0.528213 + 0.807629i
\(733\) 971.629 1682.91i 0.0489604 0.0848018i −0.840507 0.541801i \(-0.817743\pi\)
0.889467 + 0.456999i \(0.151076\pi\)
\(734\) −3023.15 5236.24i −0.152025 0.263315i
\(735\) 7283.86 + 11891.1i 0.365536 + 0.596746i
\(736\) 505.715 875.924i 0.0253273 0.0438682i
\(737\) 4458.75 + 7722.79i 0.222850 + 0.385987i
\(738\) 7611.46 849.956i 0.379650 0.0423947i
\(739\) 19615.3 33974.7i 0.976400 1.69118i 0.301166 0.953572i \(-0.402624\pi\)
0.675234 0.737603i \(-0.264043\pi\)
\(740\) 16831.0 0.836109
\(741\) 6466.58 359.936i 0.320588 0.0178442i
\(742\) 32521.3 18139.7i 1.60902 0.897479i
\(743\) −9461.21 16387.3i −0.467158 0.809141i 0.532138 0.846658i \(-0.321389\pi\)
−0.999296 + 0.0375164i \(0.988055\pi\)
\(744\) 5721.15 + 8747.55i 0.281919 + 0.431050i
\(745\) 4276.58 + 7407.26i 0.210311 + 0.364270i
\(746\) 5758.42 9973.88i 0.282615 0.489504i
\(747\) −2705.68 3673.70i −0.132525 0.179938i
\(748\) 8903.59 0.435224
\(749\) −590.834 + 39909.7i −0.0288232 + 1.94695i
\(750\) 17706.1 + 27072.3i 0.862046 + 1.31805i
\(751\) 13190.2 22846.2i 0.640903 1.11008i −0.344328 0.938849i \(-0.611893\pi\)
0.985231 0.171228i \(-0.0547734\pi\)
\(752\) 23988.2 1.16325
\(753\) −17838.8 27275.3i −0.863325 1.32001i
\(754\) −10266.8 −0.495884
\(755\) −15576.0 −0.750819
\(756\) 23639.1 + 9212.02i 1.13723 + 0.443172i
\(757\) 21186.2 1.01721 0.508603 0.861001i \(-0.330162\pi\)
0.508603 + 0.861001i \(0.330162\pi\)
\(758\) 53958.7 2.58558
\(759\) −143.961 220.114i −0.00688465 0.0105265i
\(760\) −5377.81 −0.256676
\(761\) −14261.4 + 24701.4i −0.679335 + 1.17664i 0.295847 + 0.955235i \(0.404398\pi\)
−0.975182 + 0.221407i \(0.928935\pi\)
\(762\) −2769.54 4234.58i −0.131666 0.201316i
\(763\) 4592.93 2561.84i 0.217923 0.121553i
\(764\) 21504.3 1.01832
\(765\) 14906.4 1664.56i 0.704498 0.0786697i
\(766\) 19148.9 33166.8i 0.903233 1.56444i
\(767\) 4838.50 + 8380.53i 0.227781 + 0.394529i
\(768\) 4964.32 + 7590.37i 0.233248 + 0.356633i
\(769\) 20000.8 + 34642.4i 0.937903 + 1.62450i 0.769373 + 0.638799i \(0.220569\pi\)
0.168530 + 0.985697i \(0.446098\pi\)
\(770\) −6733.85 4021.85i −0.315157 0.188231i
\(771\) −11406.2 + 634.879i −0.532793 + 0.0296558i
\(772\) 6744.93 0.314450
\(773\) −513.456 + 889.332i −0.0238910 + 0.0413804i −0.877724 0.479167i \(-0.840939\pi\)
0.853833