Properties

Label 65.2.t.a.37.1
Level $65$
Weight $2$
Character 65.37
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.t (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 37.1
Root \(2.25081i\) of defining polynomial
Character \(\chi\) \(=\) 65.37
Dual form 65.2.t.a.58.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.94926 + 1.12540i) q^{2} +(-1.91913 - 0.514229i) q^{3} +(1.53307 - 2.65535i) q^{4} +(0.247944 - 2.22228i) q^{5} +(4.31958 - 1.15743i) q^{6} +(0.638592 - 1.10607i) q^{7} +2.39966i q^{8} +(0.820542 + 0.473740i) q^{9} +O(q^{10})\) \(q+(-1.94926 + 1.12540i) q^{2} +(-1.91913 - 0.514229i) q^{3} +(1.53307 - 2.65535i) q^{4} +(0.247944 - 2.22228i) q^{5} +(4.31958 - 1.15743i) q^{6} +(0.638592 - 1.10607i) q^{7} +2.39966i q^{8} +(0.820542 + 0.473740i) q^{9} +(2.01765 + 4.61083i) q^{10} +(-5.27612 - 1.41373i) q^{11} +(-4.30760 + 4.30760i) q^{12} +(0.840691 - 3.50617i) q^{13} +2.87469i q^{14} +(-1.61860 + 4.13734i) q^{15} +(0.365551 + 0.633152i) q^{16} +(0.833802 + 3.11179i) q^{17} -2.13259 q^{18} +(-0.315395 - 1.17707i) q^{19} +(-5.52081 - 4.06528i) q^{20} +(-1.79431 + 1.79431i) q^{21} +(11.8755 - 3.18204i) q^{22} +(0.0428736 - 0.160006i) q^{23} +(1.23397 - 4.60524i) q^{24} +(-4.87705 - 1.10200i) q^{25} +(2.30714 + 7.78054i) q^{26} +(2.88358 + 2.88358i) q^{27} +(-1.95801 - 3.39137i) q^{28} +(8.41068 - 4.85591i) q^{29} +(-1.50111 - 9.88630i) q^{30} +(0.233305 + 0.233305i) q^{31} +(-5.58143 - 3.22244i) q^{32} +(9.39857 + 5.42627i) q^{33} +(-5.12732 - 5.12732i) q^{34} +(-2.29967 - 1.69337i) q^{35} +(2.51589 - 1.45255i) q^{36} +(-0.660816 - 1.14457i) q^{37} +(1.93947 + 1.93947i) q^{38} +(-3.41637 + 6.29648i) q^{39} +(5.33270 + 0.594981i) q^{40} +(0.129579 - 0.483595i) q^{41} +(1.47825 - 5.51690i) q^{42} +(-6.43569 + 1.72444i) q^{43} +(-11.8426 + 11.8426i) q^{44} +(1.25623 - 1.70601i) q^{45} +(0.0965002 + 0.360144i) q^{46} +3.20027 q^{47} +(-0.375953 - 1.40308i) q^{48} +(2.68440 + 4.64952i) q^{49} +(10.7468 - 3.34056i) q^{50} -6.40069i q^{51} +(-8.02127 - 7.60752i) q^{52} +(4.49845 - 4.49845i) q^{53} +(-8.86603 - 2.37565i) q^{54} +(-4.44989 + 11.3745i) q^{55} +(2.65420 + 1.53240i) q^{56} +2.42113i q^{57} +(-10.9297 + 18.9308i) q^{58} +(0.00222123 - 0.000595178i) q^{59} +(8.50465 + 10.6407i) q^{60} +(-0.695993 + 1.20550i) q^{61} +(-0.717332 - 0.192209i) q^{62} +(1.04798 - 0.605053i) q^{63} +13.0440 q^{64} +(-7.58325 - 2.73759i) q^{65} -24.4270 q^{66} +(5.26055 - 3.03718i) q^{67} +(9.54117 + 2.55655i) q^{68} +(-0.164560 + 0.285026i) q^{69} +(6.38837 + 0.712764i) q^{70} +(11.7428 - 3.14648i) q^{71} +(-1.13681 + 1.96902i) q^{72} -7.34614i q^{73} +(2.57620 + 1.48737i) q^{74} +(8.79299 + 4.62280i) q^{75} +(-3.60906 - 0.967044i) q^{76} +(-4.93298 + 4.93298i) q^{77} +(-0.426708 - 16.1182i) q^{78} -11.1774i q^{79} +(1.49768 - 0.655369i) q^{80} +(-5.47236 - 9.47841i) q^{81} +(0.291657 + 1.08848i) q^{82} +2.65539 q^{83} +(2.01373 + 7.51533i) q^{84} +(7.12201 - 1.08139i) q^{85} +(10.6041 - 10.6041i) q^{86} +(-18.6382 + 4.99409i) q^{87} +(3.39247 - 12.6609i) q^{88} +(-1.86638 + 6.96542i) q^{89} +(-0.528764 + 4.73922i) q^{90} +(-3.34123 - 3.16888i) q^{91} +(-0.359145 - 0.359145i) q^{92} +(-0.327769 - 0.567713i) q^{93} +(-6.23815 + 3.60160i) q^{94} +(-2.69398 + 0.409048i) q^{95} +(9.05440 + 9.05440i) q^{96} +(-3.62059 - 2.09035i) q^{97} +(-10.4652 - 6.04207i) q^{98} +(-3.65954 - 3.65954i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 6q^{2} - 2q^{3} + 6q^{4} - 8q^{6} - 2q^{7} + 12q^{9} + O(q^{10}) \) \( 20q - 6q^{2} - 2q^{3} + 6q^{4} - 8q^{6} - 2q^{7} + 12q^{9} - 2q^{10} - 16q^{11} - 24q^{12} - 4q^{13} - 20q^{15} - 2q^{16} + 4q^{17} - 20q^{19} + 4q^{21} + 16q^{22} - 10q^{23} + 32q^{24} + 18q^{25} - 24q^{26} + 4q^{27} + 18q^{28} - 26q^{30} + 48q^{32} + 18q^{33} + 2q^{34} + 40q^{35} + 36q^{36} - 4q^{37} - 8q^{38} + 4q^{39} - 16q^{40} + 10q^{41} + 40q^{42} + 10q^{43} - 36q^{44} + 4q^{46} - 40q^{47} - 56q^{48} + 18q^{49} + 36q^{50} - 30q^{52} - 10q^{53} - 48q^{54} - 10q^{55} - 16q^{59} + 28q^{60} - 16q^{61} - 44q^{62} - 36q^{63} + 20q^{64} - 14q^{65} - 32q^{66} + 18q^{67} + 22q^{68} - 16q^{69} - 12q^{70} - 16q^{71} + 4q^{72} + 18q^{74} - 38q^{75} - 64q^{76} - 28q^{77} + 68q^{78} - 2q^{80} - 14q^{81} + 56q^{82} + 48q^{83} - 40q^{84} - 26q^{85} + 60q^{86} - 34q^{87} + 82q^{88} - 6q^{89} + 46q^{90} + 8q^{91} - 8q^{92} + 32q^{93} - 48q^{94} - 26q^{95} + 56q^{96} + 66q^{97} - 30q^{98} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.94926 + 1.12540i −1.37833 + 0.795780i −0.991959 0.126562i \(-0.959606\pi\)
−0.386373 + 0.922342i \(0.626272\pi\)
\(3\) −1.91913 0.514229i −1.10801 0.296890i −0.341987 0.939705i \(-0.611100\pi\)
−0.766022 + 0.642815i \(0.777767\pi\)
\(4\) 1.53307 2.65535i 0.766533 1.32767i
\(5\) 0.247944 2.22228i 0.110884 0.993833i
\(6\) 4.31958 1.15743i 1.76346 0.472518i
\(7\) 0.638592 1.10607i 0.241365 0.418057i −0.719738 0.694245i \(-0.755738\pi\)
0.961103 + 0.276189i \(0.0890715\pi\)
\(8\) 2.39966i 0.848406i
\(9\) 0.820542 + 0.473740i 0.273514 + 0.157913i
\(10\) 2.01765 + 4.61083i 0.638038 + 1.45807i
\(11\) −5.27612 1.41373i −1.59081 0.426257i −0.648560 0.761163i \(-0.724629\pi\)
−0.942251 + 0.334907i \(0.891295\pi\)
\(12\) −4.30760 + 4.30760i −1.24350 + 1.24350i
\(13\) 0.840691 3.50617i 0.233166 0.972437i
\(14\) 2.87469i 0.768294i
\(15\) −1.61860 + 4.13734i −0.417920 + 1.06826i
\(16\) 0.365551 + 0.633152i 0.0913876 + 0.158288i
\(17\) 0.833802 + 3.11179i 0.202227 + 0.754721i 0.990277 + 0.139110i \(0.0444241\pi\)
−0.788050 + 0.615611i \(0.788909\pi\)
\(18\) −2.13259 −0.502657
\(19\) −0.315395 1.17707i −0.0723567 0.270039i 0.920264 0.391297i \(-0.127974\pi\)
−0.992621 + 0.121259i \(0.961307\pi\)
\(20\) −5.52081 4.06528i −1.23449 0.909024i
\(21\) −1.79431 + 1.79431i −0.391551 + 0.391551i
\(22\) 11.8755 3.18204i 2.53187 0.678413i
\(23\) 0.0428736 0.160006i 0.00893976 0.0333637i −0.961312 0.275462i \(-0.911169\pi\)
0.970252 + 0.242099i \(0.0778358\pi\)
\(24\) 1.23397 4.60524i 0.251883 0.940042i
\(25\) −4.87705 1.10200i −0.975409 0.220401i
\(26\) 2.30714 + 7.78054i 0.452466 + 1.52589i
\(27\) 2.88358 + 2.88358i 0.554946 + 0.554946i
\(28\) −1.95801 3.39137i −0.370029 0.640908i
\(29\) 8.41068 4.85591i 1.56182 0.901719i 0.564751 0.825262i \(-0.308972\pi\)
0.997073 0.0764575i \(-0.0243610\pi\)
\(30\) −1.50111 9.88630i −0.274065 1.80498i
\(31\) 0.233305 + 0.233305i 0.0419027 + 0.0419027i 0.727748 0.685845i \(-0.240567\pi\)
−0.685845 + 0.727748i \(0.740567\pi\)
\(32\) −5.58143 3.22244i −0.986667 0.569652i
\(33\) 9.39857 + 5.42627i 1.63608 + 0.944592i
\(34\) −5.12732 5.12732i −0.879328 0.879328i
\(35\) −2.29967 1.69337i −0.388715 0.286232i
\(36\) 2.51589 1.45255i 0.419315 0.242091i
\(37\) −0.660816 1.14457i −0.108638 0.188166i 0.806581 0.591124i \(-0.201315\pi\)
−0.915219 + 0.402958i \(0.867982\pi\)
\(38\) 1.93947 + 1.93947i 0.314623 + 0.314623i
\(39\) −3.41637 + 6.29648i −0.547057 + 1.00824i
\(40\) 5.33270 + 0.594981i 0.843175 + 0.0940747i
\(41\) 0.129579 0.483595i 0.0202368 0.0755249i −0.955069 0.296384i \(-0.904219\pi\)
0.975306 + 0.220859i \(0.0708860\pi\)
\(42\) 1.47825 5.51690i 0.228099 0.851277i
\(43\) −6.43569 + 1.72444i −0.981434 + 0.262974i −0.713648 0.700504i \(-0.752959\pi\)
−0.267786 + 0.963479i \(0.586292\pi\)
\(44\) −11.8426 + 11.8426i −1.78534 + 1.78534i
\(45\) 1.25623 1.70601i 0.187268 0.254317i
\(46\) 0.0965002 + 0.360144i 0.0142282 + 0.0531003i
\(47\) 3.20027 0.466808 0.233404 0.972380i \(-0.425014\pi\)
0.233404 + 0.972380i \(0.425014\pi\)
\(48\) −0.375953 1.40308i −0.0542642 0.202517i
\(49\) 2.68440 + 4.64952i 0.383486 + 0.664217i
\(50\) 10.7468 3.34056i 1.51983 0.472427i
\(51\) 6.40069i 0.896276i
\(52\) −8.02127 7.60752i −1.11235 1.05497i
\(53\) 4.49845 4.49845i 0.617909 0.617909i −0.327086 0.944995i \(-0.606067\pi\)
0.944995 + 0.327086i \(0.106067\pi\)
\(54\) −8.86603 2.37565i −1.20651 0.323285i
\(55\) −4.44989 + 11.3745i −0.600024 + 1.53374i
\(56\) 2.65420 + 1.53240i 0.354682 + 0.204776i
\(57\) 2.42113i 0.320687i
\(58\) −10.9297 + 18.9308i −1.43514 + 2.48574i
\(59\) 0.00222123 0.000595178i 0.000289180 7.74855e-5i −0.258674 0.965965i \(-0.583286\pi\)
0.258964 + 0.965887i \(0.416619\pi\)
\(60\) 8.50465 + 10.6407i 1.09795 + 1.37371i
\(61\) −0.695993 + 1.20550i −0.0891128 + 0.154348i −0.907136 0.420837i \(-0.861736\pi\)
0.818024 + 0.575185i \(0.195070\pi\)
\(62\) −0.717332 0.192209i −0.0911013 0.0244105i
\(63\) 1.04798 0.605053i 0.132033 0.0762295i
\(64\) 13.0440 1.63050
\(65\) −7.58325 2.73759i −0.940586 0.339556i
\(66\) −24.4270 −3.00675
\(67\) 5.26055 3.03718i 0.642678 0.371050i −0.142967 0.989727i \(-0.545664\pi\)
0.785645 + 0.618677i \(0.212331\pi\)
\(68\) 9.54117 + 2.55655i 1.15704 + 0.310027i
\(69\) −0.164560 + 0.285026i −0.0198107 + 0.0343131i
\(70\) 6.38837 + 0.712764i 0.763557 + 0.0851916i
\(71\) 11.7428 3.14648i 1.39361 0.373418i 0.517567 0.855643i \(-0.326838\pi\)
0.876048 + 0.482225i \(0.160171\pi\)
\(72\) −1.13681 + 1.96902i −0.133975 + 0.232051i
\(73\) 7.34614i 0.859801i −0.902876 0.429901i \(-0.858549\pi\)
0.902876 0.429901i \(-0.141451\pi\)
\(74\) 2.57620 + 1.48737i 0.299477 + 0.172903i
\(75\) 8.79299 + 4.62280i 1.01533 + 0.533795i
\(76\) −3.60906 0.967044i −0.413987 0.110928i
\(77\) −4.93298 + 4.93298i −0.562166 + 0.562166i
\(78\) −0.426708 16.1182i −0.0483152 1.82503i
\(79\) 11.1774i 1.25756i −0.777584 0.628779i \(-0.783555\pi\)
0.777584 0.628779i \(-0.216445\pi\)
\(80\) 1.49768 0.655369i 0.167445 0.0732725i
\(81\) −5.47236 9.47841i −0.608040 1.05316i
\(82\) 0.291657 + 1.08848i 0.0322081 + 0.120202i
\(83\) 2.65539 0.291467 0.145733 0.989324i \(-0.453446\pi\)
0.145733 + 0.989324i \(0.453446\pi\)
\(84\) 2.01373 + 7.51533i 0.219716 + 0.819990i
\(85\) 7.12201 1.08139i 0.772490 0.117293i
\(86\) 10.6041 10.6041i 1.14347 1.14347i
\(87\) −18.6382 + 4.99409i −1.99823 + 0.535423i
\(88\) 3.39247 12.6609i 0.361639 1.34965i
\(89\) −1.86638 + 6.96542i −0.197836 + 0.738333i 0.793679 + 0.608337i \(0.208163\pi\)
−0.991515 + 0.129996i \(0.958504\pi\)
\(90\) −0.528764 + 4.73922i −0.0557367 + 0.499558i
\(91\) −3.34123 3.16888i −0.350256 0.332189i
\(92\) −0.359145 0.359145i −0.0374434 0.0374434i
\(93\) −0.327769 0.567713i −0.0339881 0.0588691i
\(94\) −6.23815 + 3.60160i −0.643416 + 0.371477i
\(95\) −2.69398 + 0.409048i −0.276397 + 0.0419675i
\(96\) 9.05440 + 9.05440i 0.924111 + 0.924111i
\(97\) −3.62059 2.09035i −0.367616 0.212243i 0.304801 0.952416i \(-0.401410\pi\)
−0.672416 + 0.740173i \(0.734743\pi\)
\(98\) −10.4652 6.04207i −1.05714 0.610341i
\(99\) −3.65954 3.65954i −0.367797 0.367797i
\(100\) −10.4030 + 11.2608i −1.04030 + 1.12608i
\(101\) −7.47319 + 4.31465i −0.743610 + 0.429323i −0.823380 0.567490i \(-0.807915\pi\)
0.0797704 + 0.996813i \(0.474581\pi\)
\(102\) 7.20336 + 12.4766i 0.713239 + 1.23537i
\(103\) 1.07603 + 1.07603i 0.106025 + 0.106025i 0.758129 0.652104i \(-0.226114\pi\)
−0.652104 + 0.758129i \(0.726114\pi\)
\(104\) 8.41360 + 2.01737i 0.825022 + 0.197819i
\(105\) 3.54258 + 4.43236i 0.345720 + 0.432554i
\(106\) −3.70606 + 13.8312i −0.359964 + 1.34340i
\(107\) 3.75956 14.0309i 0.363451 1.35642i −0.506058 0.862499i \(-0.668898\pi\)
0.869509 0.493917i \(-0.164435\pi\)
\(108\) 12.0776 3.23619i 1.16217 0.311403i
\(109\) −4.72405 + 4.72405i −0.452481 + 0.452481i −0.896177 0.443696i \(-0.853667\pi\)
0.443696 + 0.896177i \(0.353667\pi\)
\(110\) −4.12691 27.1797i −0.393486 2.59149i
\(111\) 0.679621 + 2.53638i 0.0645068 + 0.240743i
\(112\) 0.933751 0.0882311
\(113\) 2.94919 + 11.0065i 0.277437 + 1.03541i 0.954191 + 0.299199i \(0.0967193\pi\)
−0.676754 + 0.736209i \(0.736614\pi\)
\(114\) −2.72475 4.71941i −0.255197 0.442013i
\(115\) −0.344949 0.134950i −0.0321666 0.0125841i
\(116\) 29.7777i 2.76479i
\(117\) 2.35084 2.47869i 0.217335 0.229155i
\(118\) −0.00365994 + 0.00365994i −0.000336925 + 0.000336925i
\(119\) 3.97433 + 1.06492i 0.364326 + 0.0976210i
\(120\) −9.92818 3.88407i −0.906315 0.354566i
\(121\) 16.3126 + 9.41807i 1.48296 + 0.856188i
\(122\) 3.13309i 0.283657i
\(123\) −0.497357 + 0.861447i −0.0448452 + 0.0776741i
\(124\) 0.977176 0.261833i 0.0877530 0.0235133i
\(125\) −3.65819 + 10.5649i −0.327199 + 0.944956i
\(126\) −1.36186 + 2.35881i −0.121324 + 0.210139i
\(127\) −0.506651 0.135757i −0.0449580 0.0120465i 0.236270 0.971687i \(-0.424075\pi\)
−0.281228 + 0.959641i \(0.590742\pi\)
\(128\) −14.2632 + 8.23486i −1.26070 + 0.727865i
\(129\) 13.2377 1.16551
\(130\) 17.8626 3.19796i 1.56665 0.280479i
\(131\) 5.09883 0.445486 0.222743 0.974877i \(-0.428499\pi\)
0.222743 + 0.974877i \(0.428499\pi\)
\(132\) 28.8173 16.6377i 2.50822 1.44812i
\(133\) −1.50334 0.402818i −0.130356 0.0349287i
\(134\) −6.83610 + 11.8405i −0.590549 + 1.02286i
\(135\) 7.12309 5.69316i 0.613058 0.489989i
\(136\) −7.46723 + 2.00084i −0.640310 + 0.171571i
\(137\) −1.90173 + 3.29390i −0.162476 + 0.281417i −0.935756 0.352648i \(-0.885281\pi\)
0.773280 + 0.634065i \(0.218615\pi\)
\(138\) 0.740785i 0.0630598i
\(139\) −1.28017 0.739106i −0.108583 0.0626902i 0.444725 0.895667i \(-0.353301\pi\)
−0.553308 + 0.832977i \(0.686635\pi\)
\(140\) −8.02204 + 3.51037i −0.677986 + 0.296680i
\(141\) −6.14173 1.64567i −0.517227 0.138591i
\(142\) −19.3487 + 19.3487i −1.62371 + 1.62371i
\(143\) −9.39238 + 17.3105i −0.785431 + 1.44758i
\(144\) 0.692704i 0.0577253i
\(145\) −8.70580 19.8949i −0.722977 1.65218i
\(146\) 8.26737 + 14.3195i 0.684213 + 1.18509i
\(147\) −2.76079 10.3034i −0.227706 0.849811i
\(148\) −4.05230 −0.333097
\(149\) −4.45586 16.6295i −0.365038 1.36234i −0.867369 0.497665i \(-0.834191\pi\)
0.502331 0.864675i \(-0.332476\pi\)
\(150\) −22.3423 + 0.884644i −1.82424 + 0.0722308i
\(151\) −10.0539 + 10.0539i −0.818178 + 0.818178i −0.985844 0.167666i \(-0.946377\pi\)
0.167666 + 0.985844i \(0.446377\pi\)
\(152\) 2.82457 0.756840i 0.229103 0.0613879i
\(153\) −0.790011 + 2.94836i −0.0638686 + 0.238361i
\(154\) 4.06405 15.1672i 0.327491 1.22221i
\(155\) 0.576314 0.460621i 0.0462907 0.0369980i
\(156\) 11.4818 + 18.7246i 0.919282 + 1.49916i
\(157\) 3.07230 + 3.07230i 0.245196 + 0.245196i 0.818996 0.573799i \(-0.194531\pi\)
−0.573799 + 0.818996i \(0.694531\pi\)
\(158\) 12.5791 + 21.7876i 1.00074 + 1.73333i
\(159\) −10.9463 + 6.31986i −0.868100 + 0.501198i
\(160\) −8.54504 + 11.6045i −0.675545 + 0.917417i
\(161\) −0.149600 0.149600i −0.0117902 0.0117902i
\(162\) 21.3341 + 12.3172i 1.67616 + 0.967733i
\(163\) 7.97177 + 4.60251i 0.624398 + 0.360496i 0.778579 0.627546i \(-0.215941\pi\)
−0.154182 + 0.988043i \(0.549274\pi\)
\(164\) −1.08546 1.08546i −0.0847602 0.0847602i
\(165\) 14.3890 19.5408i 1.12018 1.52125i
\(166\) −5.17603 + 2.98838i −0.401738 + 0.231944i
\(167\) 6.31936 + 10.9455i 0.489007 + 0.846985i 0.999920 0.0126474i \(-0.00402590\pi\)
−0.510913 + 0.859632i \(0.670693\pi\)
\(168\) −4.30574 4.30574i −0.332195 0.332195i
\(169\) −11.5865 5.89521i −0.891267 0.453478i
\(170\) −12.6656 + 10.1230i −0.971409 + 0.776402i
\(171\) 0.298831 1.11525i 0.0228522 0.0852854i
\(172\) −5.28736 + 19.7327i −0.403157 + 1.50460i
\(173\) −13.2481 + 3.54983i −1.00724 + 0.269888i −0.724474 0.689302i \(-0.757917\pi\)
−0.282762 + 0.959190i \(0.591251\pi\)
\(174\) 30.7103 30.7103i 2.32814 2.32814i
\(175\) −4.33334 + 4.69064i −0.327570 + 0.354579i
\(176\) −1.03358 3.85738i −0.0779092 0.290761i
\(177\) −0.00456889 −0.000343419
\(178\) −4.20086 15.6778i −0.314867 1.17510i
\(179\) −6.32126 10.9487i −0.472473 0.818347i 0.527031 0.849846i \(-0.323305\pi\)
−0.999504 + 0.0314989i \(0.989972\pi\)
\(180\) −2.60417 5.95116i −0.194103 0.443573i
\(181\) 8.16619i 0.606988i −0.952833 0.303494i \(-0.901847\pi\)
0.952833 0.303494i \(-0.0981533\pi\)
\(182\) 10.0792 + 2.41673i 0.747118 + 0.179140i
\(183\) 1.95560 1.95560i 0.144562 0.144562i
\(184\) 0.383960 + 0.102882i 0.0283059 + 0.00758455i
\(185\) −2.70739 + 1.18473i −0.199052 + 0.0871030i
\(186\) 1.27781 + 0.737745i 0.0936937 + 0.0540941i
\(187\) 17.5970i 1.28682i
\(188\) 4.90623 8.49784i 0.357824 0.619769i
\(189\) 5.03089 1.34802i 0.365943 0.0980542i
\(190\) 4.79091 3.82916i 0.347569 0.277796i
\(191\) 7.37692 12.7772i 0.533775 0.924526i −0.465446 0.885076i \(-0.654106\pi\)
0.999222 0.0394498i \(-0.0125605\pi\)
\(192\) −25.0330 6.70758i −1.80660 0.484078i
\(193\) 13.0743 7.54845i 0.941109 0.543349i 0.0508011 0.998709i \(-0.483823\pi\)
0.890308 + 0.455359i \(0.150489\pi\)
\(194\) 9.40995 0.675595
\(195\) 13.1455 + 9.15330i 0.941367 + 0.655481i
\(196\) 16.4614 1.17582
\(197\) −13.3121 + 7.68576i −0.948450 + 0.547588i −0.892599 0.450851i \(-0.851121\pi\)
−0.0558510 + 0.998439i \(0.517787\pi\)
\(198\) 11.2518 + 3.01492i 0.799633 + 0.214261i
\(199\) 5.72810 9.92136i 0.406054 0.703307i −0.588389 0.808578i \(-0.700238\pi\)
0.994444 + 0.105271i \(0.0335710\pi\)
\(200\) 2.64443 11.7032i 0.186989 0.827544i
\(201\) −11.6575 + 3.12361i −0.822254 + 0.220322i
\(202\) 9.71144 16.8207i 0.683294 1.18350i
\(203\) 12.4038i 0.870574i
\(204\) −16.9961 9.81268i −1.18996 0.687025i
\(205\) −1.04255 0.407865i −0.0728152 0.0284865i
\(206\) −3.30843 0.886492i −0.230509 0.0617648i
\(207\) 0.110981 0.110981i 0.00771372 0.00771372i
\(208\) 2.52726 0.749397i 0.175234 0.0519614i
\(209\) 6.65626i 0.460423i
\(210\) −11.8936 4.65297i −0.820735 0.321085i
\(211\) −1.59195 2.75735i −0.109595 0.189823i 0.806011 0.591900i \(-0.201622\pi\)
−0.915606 + 0.402076i \(0.868289\pi\)
\(212\) −5.04852 18.8414i −0.346734 1.29403i
\(213\) −24.1539 −1.65500
\(214\) 8.46205 + 31.5808i 0.578454 + 2.15882i
\(215\) 2.23649 + 14.7295i 0.152527 + 1.00454i
\(216\) −6.91961 + 6.91961i −0.470820 + 0.470820i
\(217\) 0.407038 0.109066i 0.0276316 0.00740386i
\(218\) 3.89192 14.5248i 0.263594 0.983746i
\(219\) −3.77760 + 14.0982i −0.255266 + 0.952667i
\(220\) 23.3813 + 29.2539i 1.57636 + 1.97230i
\(221\) 11.6115 0.307397i 0.781071 0.0206778i
\(222\) −4.17921 4.17921i −0.280490 0.280490i
\(223\) 5.93874 + 10.2862i 0.397688 + 0.688815i 0.993440 0.114353i \(-0.0364795\pi\)
−0.595753 + 0.803168i \(0.703146\pi\)
\(224\) −7.12851 + 4.11565i −0.476294 + 0.274988i
\(225\) −3.47976 3.21469i −0.231984 0.214313i
\(226\) −18.1355 18.1355i −1.20636 1.20636i
\(227\) 23.9600 + 13.8333i 1.59028 + 0.918149i 0.993258 + 0.115924i \(0.0369830\pi\)
0.597022 + 0.802225i \(0.296350\pi\)
\(228\) 6.42896 + 3.71176i 0.425768 + 0.245817i
\(229\) 12.9000 + 12.9000i 0.852455 + 0.852455i 0.990435 0.137980i \(-0.0440610\pi\)
−0.137980 + 0.990435i \(0.544061\pi\)
\(230\) 0.824266 0.125155i 0.0543505 0.00825246i
\(231\) 12.0037 6.93034i 0.789786 0.455983i
\(232\) 11.6525 + 20.1827i 0.765024 + 1.32506i
\(233\) −16.3545 16.3545i −1.07142 1.07142i −0.997246 0.0741712i \(-0.976369\pi\)
−0.0741712 0.997246i \(-0.523631\pi\)
\(234\) −1.79285 + 7.47724i −0.117202 + 0.488803i
\(235\) 0.793489 7.11190i 0.0517615 0.463929i
\(236\) 0.00182489 0.00681059i 0.000118790 0.000443332i
\(237\) −5.74774 + 21.4509i −0.373356 + 1.39338i
\(238\) −8.94546 + 2.39693i −0.579848 + 0.155370i
\(239\) −2.61794 + 2.61794i −0.169341 + 0.169341i −0.786690 0.617349i \(-0.788207\pi\)
0.617349 + 0.786690i \(0.288207\pi\)
\(240\) −3.21124 + 0.487588i −0.207285 + 0.0314737i
\(241\) 5.38613 + 20.1013i 0.346951 + 1.29484i 0.890316 + 0.455343i \(0.150483\pi\)
−0.543365 + 0.839496i \(0.682850\pi\)
\(242\) −42.3965 −2.72535
\(243\) 2.46169 + 9.18717i 0.157918 + 0.589357i
\(244\) 2.13401 + 3.69621i 0.136616 + 0.236625i
\(245\) 10.9981 4.81267i 0.702643 0.307470i
\(246\) 2.23891i 0.142748i
\(247\) −4.39216 + 0.116277i −0.279467 + 0.00739850i
\(248\) −0.559851 + 0.559851i −0.0355505 + 0.0355505i
\(249\) −5.09603 1.36548i −0.322948 0.0865336i
\(250\) −4.75905 24.7107i −0.300989 1.56284i
\(251\) −2.05050 1.18386i −0.129427 0.0747245i 0.433889 0.900966i \(-0.357141\pi\)
−0.563315 + 0.826242i \(0.690474\pi\)
\(252\) 3.71034i 0.233730i
\(253\) −0.452413 + 0.783602i −0.0284430 + 0.0492647i
\(254\) 1.14037 0.305562i 0.0715533 0.0191727i
\(255\) −14.2241 1.58701i −0.890749 0.0993827i
\(256\) 5.49109 9.51085i 0.343193 0.594428i
\(257\) 0.840391 + 0.225182i 0.0524221 + 0.0140465i 0.284935 0.958547i \(-0.408028\pi\)
−0.232513 + 0.972593i \(0.574695\pi\)
\(258\) −25.8036 + 14.8977i −1.60646 + 0.927492i
\(259\) −1.68797 −0.104885
\(260\) −18.8949 + 15.9393i −1.17181 + 0.988511i
\(261\) 9.20175 0.569574
\(262\) −9.93892 + 5.73824i −0.614028 + 0.354509i
\(263\) 14.6707 + 3.93099i 0.904632 + 0.242395i 0.681004 0.732279i \(-0.261543\pi\)
0.223627 + 0.974675i \(0.428210\pi\)
\(264\) −13.0212 + 22.5533i −0.801398 + 1.38806i
\(265\) −8.88144 11.1122i −0.545582 0.682615i
\(266\) 3.38372 0.906665i 0.207469 0.0555912i
\(267\) 7.16363 12.4078i 0.438407 0.759343i
\(268\) 18.6248i 1.13769i
\(269\) 21.1150 + 12.1908i 1.28741 + 0.743285i 0.978191 0.207707i \(-0.0666000\pi\)
0.309216 + 0.950992i \(0.399933\pi\)
\(270\) −7.47763 + 19.1138i −0.455074 + 1.16323i
\(271\) −12.6697 3.39484i −0.769630 0.206222i −0.147422 0.989074i \(-0.547097\pi\)
−0.622208 + 0.782852i \(0.713764\pi\)
\(272\) −1.66544 + 1.66544i −0.100982 + 0.100982i
\(273\) 4.78271 + 7.79964i 0.289463 + 0.472055i
\(274\) 8.56086i 0.517181i
\(275\) 24.1740 + 12.7091i 1.45775 + 0.766390i
\(276\) 0.504562 + 0.873927i 0.0303711 + 0.0526042i
\(277\) 3.16472 + 11.8109i 0.190149 + 0.709647i 0.993469 + 0.114099i \(0.0363982\pi\)
−0.803320 + 0.595548i \(0.796935\pi\)
\(278\) 3.32717 0.199550
\(279\) 0.0809104 + 0.301962i 0.00484398 + 0.0180780i
\(280\) 4.06352 5.51841i 0.242841 0.329788i
\(281\) −6.43529 + 6.43529i −0.383897 + 0.383897i −0.872504 0.488607i \(-0.837505\pi\)
0.488607 + 0.872504i \(0.337505\pi\)
\(282\) 13.8239 3.70409i 0.823198 0.220575i
\(283\) 7.07953 26.4212i 0.420834 1.57057i −0.352021 0.935992i \(-0.614505\pi\)
0.772855 0.634583i \(-0.218828\pi\)
\(284\) 9.64751 36.0050i 0.572474 2.13650i
\(285\) 5.38044 + 0.600307i 0.318710 + 0.0355591i
\(286\) −1.17312 44.3128i −0.0693681 2.62027i
\(287\) −0.452144 0.452144i −0.0266892 0.0266892i
\(288\) −3.05320 5.28829i −0.179911 0.311616i
\(289\) 5.73440 3.31076i 0.337318 0.194750i
\(290\) 39.3596 + 28.9826i 2.31127 + 1.70192i
\(291\) 5.87346 + 5.87346i 0.344308 + 0.344308i
\(292\) −19.5066 11.2621i −1.14154 0.659066i
\(293\) −22.6241 13.0620i −1.32171 0.763092i −0.337713 0.941249i \(-0.609653\pi\)
−0.984002 + 0.178157i \(0.942987\pi\)
\(294\) 16.9770 + 16.9770i 0.990118 + 0.990118i
\(295\) −0.000771909 0.00508377i −4.49423e−5 0.000295989i
\(296\) 2.74657 1.58573i 0.159641 0.0921688i
\(297\) −11.1375 19.2908i −0.646265 1.11936i
\(298\) 27.4005 + 27.4005i 1.58727 + 1.58727i
\(299\) −0.524967 0.284838i −0.0303596 0.0164726i
\(300\) 25.7554 16.2614i 1.48699 0.938852i
\(301\) −2.20243 + 8.21957i −0.126946 + 0.473768i
\(302\) 8.28296 30.9124i 0.476631 1.77881i
\(303\) 16.5607 4.43743i 0.951388 0.254924i
\(304\) 0.629972 0.629972i 0.0361314 0.0361314i
\(305\) 2.50638 + 1.84559i 0.143515 + 0.105678i
\(306\) −1.77816 6.63619i −0.101651 0.379366i
\(307\) 14.7038 0.839189 0.419595 0.907712i \(-0.362172\pi\)
0.419595 + 0.907712i \(0.362172\pi\)
\(308\) 5.53620 + 20.6614i 0.315454 + 1.17729i
\(309\) −1.51172 2.61837i −0.0859985 0.148954i
\(310\) −0.604999 + 1.54645i −0.0343617 + 0.0878327i
\(311\) 31.8525i 1.80619i 0.429440 + 0.903095i \(0.358711\pi\)
−0.429440 + 0.903095i \(0.641289\pi\)
\(312\) −15.1094 8.19810i −0.855401 0.464126i
\(313\) −11.9865 + 11.9865i −0.677519 + 0.677519i −0.959438 0.281919i \(-0.909029\pi\)
0.281919 + 0.959438i \(0.409029\pi\)
\(314\) −9.44628 2.53112i −0.533084 0.142840i
\(315\) −1.08476 2.47893i −0.0611190 0.139672i
\(316\) −29.6799 17.1357i −1.66963 0.963959i
\(317\) 15.5627i 0.874088i 0.899440 + 0.437044i \(0.143975\pi\)
−0.899440 + 0.437044i \(0.856025\pi\)
\(318\) 14.2248 24.6380i 0.797686 1.38163i
\(319\) −51.2407 + 13.7299i −2.86893 + 0.768728i
\(320\) 3.23418 28.9874i 0.180796 1.62044i
\(321\) −14.4302 + 24.9938i −0.805413 + 1.39502i
\(322\) 0.459970 + 0.123249i 0.0256331 + 0.00686837i
\(323\) 3.39983 1.96289i 0.189171 0.109218i
\(324\) −33.5580 −1.86433
\(325\) −7.96390 + 16.1733i −0.441758 + 0.897134i
\(326\) −20.7187 −1.14750
\(327\) 11.4953 6.63680i 0.635691 0.367016i
\(328\) 1.16046 + 0.310945i 0.0640758 + 0.0171691i
\(329\) 2.04367 3.53974i 0.112671 0.195152i
\(330\) −6.05653 + 54.2835i −0.333401 + 2.98821i
\(331\) −16.4820 + 4.41633i −0.905930 + 0.242743i −0.681561 0.731761i \(-0.738699\pi\)
−0.224369 + 0.974504i \(0.572032\pi\)
\(332\) 4.07089 7.05098i 0.223419 0.386973i
\(333\) 1.25222i 0.0686212i
\(334\) −24.6361 14.2237i −1.34803 0.778284i
\(335\) −5.44513 12.4435i −0.297499 0.679858i
\(336\) −1.79199 0.480161i −0.0977609 0.0261949i
\(337\) 25.0560 25.0560i 1.36489 1.36489i 0.497319 0.867568i \(-0.334318\pi\)
0.867568 0.497319i \(-0.165682\pi\)
\(338\) 29.2195 1.54818i 1.58933 0.0842098i
\(339\) 22.6395i 1.22961i
\(340\) 8.04704 20.5693i 0.436412 1.11552i
\(341\) −0.901114 1.56077i −0.0487980 0.0845207i
\(342\) 0.672610 + 2.51022i 0.0363706 + 0.135737i
\(343\) 15.7972 0.852971
\(344\) −4.13806 15.4435i −0.223109 0.832655i
\(345\) 0.592605 + 0.436368i 0.0319048 + 0.0234933i
\(346\) 21.8290 21.8290i 1.17354 1.17354i
\(347\) −12.4604 + 3.33874i −0.668907 + 0.179233i −0.577262 0.816559i \(-0.695879\pi\)
−0.0916446 + 0.995792i \(0.529212\pi\)
\(348\) −15.3125 + 57.1472i −0.820838 + 3.06341i
\(349\) −6.94957 + 25.9362i −0.372002 + 1.38833i 0.485674 + 0.874140i \(0.338574\pi\)
−0.857676 + 0.514191i \(0.828092\pi\)
\(350\) 3.16792 14.0200i 0.169332 0.749402i
\(351\) 12.5345 7.68613i 0.669044 0.410255i
\(352\) 24.8926 + 24.8926i 1.32678 + 1.32678i
\(353\) −11.6558 20.1885i −0.620378 1.07453i −0.989415 0.145111i \(-0.953646\pi\)
0.369038 0.929414i \(-0.379687\pi\)
\(354\) 0.00890593 0.00514184i 0.000473345 0.000273286i
\(355\) −4.08078 26.8759i −0.216586 1.42643i
\(356\) 15.6343 + 15.6343i 0.828617 + 0.828617i
\(357\) −7.07964 4.08743i −0.374694 0.216330i
\(358\) 24.6435 + 14.2279i 1.30245 + 0.751970i
\(359\) 9.17222 + 9.17222i 0.484091 + 0.484091i 0.906435 0.422344i \(-0.138793\pi\)
−0.422344 + 0.906435i \(0.638793\pi\)
\(360\) 4.09384 + 3.01452i 0.215764 + 0.158879i
\(361\) 15.1685 8.75751i 0.798340 0.460922i
\(362\) 9.19026 + 15.9180i 0.483029 + 0.836631i
\(363\) −26.4629 26.4629i −1.38894 1.38894i
\(364\) −13.5368 + 4.01402i −0.709521 + 0.210392i
\(365\) −16.3252 1.82143i −0.854499 0.0953382i
\(366\) −1.61113 + 6.01280i −0.0842149 + 0.314294i
\(367\) 3.84780 14.3602i 0.200853 0.749595i −0.789820 0.613338i \(-0.789826\pi\)
0.990674 0.136256i \(-0.0435071\pi\)
\(368\) 0.116981 0.0313449i 0.00609805 0.00163397i
\(369\) 0.335423 0.335423i 0.0174614 0.0174614i
\(370\) 3.94410 5.35625i 0.205044 0.278458i
\(371\) −2.10294 7.84829i −0.109179 0.407463i
\(372\) −2.00997 −0.104212
\(373\) 1.59980 + 5.97055i 0.0828348 + 0.309144i 0.994895 0.100912i \(-0.0321760\pi\)
−0.912061 + 0.410055i \(0.865509\pi\)
\(374\) 19.8037 + 34.3010i 1.02403 + 1.77366i
\(375\) 12.4533 18.3943i 0.643087 0.949877i
\(376\) 7.67955i 0.396043i
\(377\) −9.95486 33.5716i −0.512701 1.72902i
\(378\) −8.28942 + 8.28942i −0.426362 + 0.426362i
\(379\) 17.6464 + 4.72834i 0.906435 + 0.242878i 0.681778 0.731559i \(-0.261207\pi\)
0.224657 + 0.974438i \(0.427874\pi\)
\(380\) −3.04389 + 7.78056i −0.156148 + 0.399134i
\(381\) 0.902517 + 0.521068i 0.0462373 + 0.0266951i
\(382\) 33.2081i 1.69907i
\(383\) −5.12171 + 8.87106i −0.261707 + 0.453290i −0.966696 0.255929i \(-0.917619\pi\)
0.704989 + 0.709219i \(0.250952\pi\)
\(384\) 31.6075 8.46920i 1.61296 0.432192i
\(385\) 9.73936 + 12.1856i 0.496364 + 0.621034i
\(386\) −16.9901 + 29.4277i −0.864774 + 1.49783i
\(387\) −6.09769 1.63387i −0.309963 0.0830543i
\(388\) −11.1012 + 6.40929i −0.563579 + 0.325382i
\(389\) −3.41200 −0.172995 −0.0864977 0.996252i \(-0.527568\pi\)
−0.0864977 + 0.996252i \(0.527568\pi\)
\(390\) −35.9250 3.04816i −1.81913 0.154350i
\(391\) 0.533655 0.0269881
\(392\) −11.1572 + 6.44164i −0.563526 + 0.325352i
\(393\) −9.78529 2.62196i −0.493603 0.132260i
\(394\) 17.2992 29.9630i 0.871519 1.50952i
\(395\) −24.8393 2.77138i −1.24980 0.139443i
\(396\) −15.3277 + 4.10703i −0.770244 + 0.206386i
\(397\) 5.96603 10.3335i 0.299426 0.518622i −0.676578 0.736371i \(-0.736538\pi\)
0.976005 + 0.217749i \(0.0698714\pi\)
\(398\) 25.7857i 1.29252i
\(399\) 2.67795 + 1.54612i 0.134065 + 0.0774027i
\(400\) −1.08507 3.49075i −0.0542536 0.174538i
\(401\) 3.93721 + 1.05497i 0.196615 + 0.0526828i 0.355783 0.934569i \(-0.384214\pi\)
−0.159168 + 0.987252i \(0.550881\pi\)
\(402\) 19.2081 19.2081i 0.958011 0.958011i
\(403\) 1.01414 0.621869i 0.0505181 0.0309775i
\(404\) 26.4586i 1.31636i
\(405\) −22.4205 + 9.81100i −1.11408 + 0.487512i
\(406\) 13.9592 + 24.1781i 0.692786 + 1.19994i
\(407\) 1.86844 + 6.97310i 0.0926149 + 0.345644i
\(408\) 15.3595 0.760406
\(409\) −1.79597 6.70266i −0.0888051 0.331425i 0.907202 0.420694i \(-0.138214\pi\)
−0.996008 + 0.0892692i \(0.971547\pi\)
\(410\) 2.49122 0.378261i 0.123033 0.0186810i
\(411\) 5.34348 5.34348i 0.263574 0.263574i
\(412\) 4.50687 1.20761i 0.222037 0.0594948i
\(413\) 0.000760151 0.00283692i 3.74046e−5 0.000139596i
\(414\) −0.0914320 + 0.341229i −0.00449364 + 0.0167705i
\(415\) 0.658389 5.90102i 0.0323190 0.289670i
\(416\) −15.9907 + 16.8604i −0.784008 + 0.826648i
\(417\) 2.07674 + 2.07674i 0.101698 + 0.101698i
\(418\) −7.49098 12.9748i −0.366396 0.634616i
\(419\) −18.3846 + 10.6144i −0.898147 + 0.518546i −0.876599 0.481222i \(-0.840193\pi\)
−0.0215487 + 0.999768i \(0.506860\pi\)
\(420\) 17.2004 2.61168i 0.839296 0.127437i
\(421\) −3.15727 3.15727i −0.153876 0.153876i 0.625971 0.779847i \(-0.284703\pi\)
−0.779847 + 0.625971i \(0.784703\pi\)
\(422\) 6.20625 + 3.58318i 0.302116 + 0.174427i
\(423\) 2.62596 + 1.51610i 0.127678 + 0.0737152i
\(424\) 10.7947 + 10.7947i 0.524238 + 0.524238i
\(425\) −0.637290 16.0952i −0.0309131 0.780733i
\(426\) 47.0822 27.1829i 2.28114 1.31702i
\(427\) 0.888911 + 1.53964i 0.0430174 + 0.0745084i
\(428\) −31.4932 31.4932i −1.52228 1.52228i
\(429\) 26.9267 28.3912i 1.30003 1.37074i
\(430\) −20.9361 26.1946i −1.00963 1.26321i
\(431\) 9.27711 34.6226i 0.446863 1.66771i −0.264109 0.964493i \(-0.585078\pi\)
0.710971 0.703221i \(-0.248256\pi\)
\(432\) −0.771651 + 2.87984i −0.0371261 + 0.138556i
\(433\) 7.81733 2.09465i 0.375677 0.100662i −0.0660397 0.997817i \(-0.521036\pi\)
0.441716 + 0.897155i \(0.354370\pi\)
\(434\) −0.670679 + 0.670679i −0.0321936 + 0.0321936i
\(435\) 6.47703 + 42.6575i 0.310550 + 2.04527i
\(436\) 5.30171 + 19.7863i 0.253906 + 0.947590i
\(437\) −0.201861 −0.00965633
\(438\) −8.50264 31.7323i −0.406272 1.51623i
\(439\) 14.3336 + 24.8265i 0.684104 + 1.18490i 0.973717 + 0.227759i \(0.0731399\pi\)
−0.289613 + 0.957144i \(0.593527\pi\)
\(440\) −27.2949 10.6782i −1.30123 0.509064i
\(441\) 5.08683i 0.242230i
\(442\) −22.2877 + 13.6668i −1.06012 + 0.650062i
\(443\) −17.1586 + 17.1586i −0.815229 + 0.815229i −0.985412 0.170184i \(-0.945564\pi\)
0.170184 + 0.985412i \(0.445564\pi\)
\(444\) 7.77688 + 2.08381i 0.369074 + 0.0988931i
\(445\) 15.0163 + 5.87465i 0.711843 + 0.278485i
\(446\) −23.1523 13.3670i −1.09629 0.632944i
\(447\) 34.2054i 1.61786i
\(448\) 8.32978 14.4276i 0.393545 0.681640i
\(449\) 8.85389 2.37239i 0.417841 0.111960i −0.0437720 0.999042i \(-0.513938\pi\)
0.461613 + 0.887081i \(0.347271\pi\)
\(450\) 10.4008 + 2.35012i 0.490297 + 0.110786i
\(451\) −1.36735 + 2.36832i −0.0643860 + 0.111520i
\(452\) 33.7475 + 9.04261i 1.58735 + 0.425329i
\(453\) 24.4648 14.1248i 1.14946 0.663639i
\(454\) −62.2722 −2.92258
\(455\) −7.87057 + 6.63943i −0.368978 + 0.311261i
\(456\) −5.80989 −0.272073
\(457\) −18.6021 + 10.7399i −0.870167 + 0.502391i −0.867404 0.497605i \(-0.834213\pi\)
−0.00276341 + 0.999996i \(0.500880\pi\)
\(458\) −39.6631 10.6277i −1.85333 0.496599i
\(459\) −6.56877 + 11.3775i −0.306604 + 0.531054i
\(460\) −0.887168 + 0.709072i −0.0413644 + 0.0330607i
\(461\) −4.90591 + 1.31453i −0.228491 + 0.0612240i −0.371248 0.928534i \(-0.621070\pi\)
0.142757 + 0.989758i \(0.454403\pi\)
\(462\) −15.5989 + 27.0180i −0.725725 + 1.25699i
\(463\) 20.0793i 0.933163i 0.884478 + 0.466581i \(0.154515\pi\)
−0.884478 + 0.466581i \(0.845485\pi\)
\(464\) 6.14905 + 3.55016i 0.285463 + 0.164812i
\(465\) −1.34289 + 0.587633i −0.0622748 + 0.0272508i
\(466\) 50.2844 + 13.4737i 2.32938 + 0.624156i
\(467\) −21.4507 + 21.4507i −0.992618 + 0.992618i −0.999973 0.00735447i \(-0.997659\pi\)
0.00735447 + 0.999973i \(0.497659\pi\)
\(468\) −2.97780 10.0423i −0.137649 0.464205i
\(469\) 7.75807i 0.358234i
\(470\) 6.45704 + 14.7559i 0.297841 + 0.680639i
\(471\) −4.31627 7.47600i −0.198883 0.344476i
\(472\) 0.00142822 + 0.00533020i 6.57392e−5 + 0.000245342i
\(473\) 36.3934 1.67337
\(474\) −12.9371 48.2818i −0.594219 2.21766i
\(475\) 0.241062 + 6.08820i 0.0110607 + 0.279346i
\(476\) 8.92064 8.92064i 0.408877 0.408877i
\(477\) 5.82226 1.56007i 0.266583 0.0714306i
\(478\) 2.15680 8.04928i 0.0986497 0.368166i
\(479\) 8.05179 30.0497i 0.367896 1.37300i −0.495557 0.868575i \(-0.665036\pi\)
0.863453 0.504430i \(-0.168297\pi\)
\(480\) 22.3664 17.8764i 1.02088 0.815943i
\(481\) −4.56859 + 1.35471i −0.208310 + 0.0617693i
\(482\) −33.1210 33.1210i −1.50862 1.50862i
\(483\) 0.210173 + 0.364031i 0.00956321 + 0.0165640i
\(484\) 50.0165 28.8770i 2.27348 1.31259i
\(485\) −5.54305 + 7.52768i −0.251697 + 0.341814i
\(486\) −15.1377 15.1377i −0.686662 0.686662i
\(487\) −16.8282 9.71579i −0.762560 0.440264i 0.0676540 0.997709i \(-0.478449\pi\)
−0.830214 + 0.557445i \(0.811782\pi\)
\(488\) −2.89277 1.67014i −0.130950 0.0756039i
\(489\) −12.9321 12.9321i −0.584810 0.584810i
\(490\) −16.0219 + 21.7584i −0.723797 + 0.982945i
\(491\) −30.5824 + 17.6568i −1.38017 + 0.796839i −0.992179 0.124825i \(-0.960163\pi\)
−0.387987 + 0.921665i \(0.626830\pi\)
\(492\) 1.52496 + 2.64131i 0.0687506 + 0.119079i
\(493\) 22.1234 + 22.1234i 0.996389 + 0.996389i
\(494\) 8.43059 5.16961i 0.379310 0.232592i
\(495\) −9.03988 + 7.22515i −0.406312 + 0.324746i
\(496\) −0.0624327 + 0.233002i −0.00280331 + 0.0104621i
\(497\) 4.01863 14.9977i 0.180260 0.672740i
\(498\) 11.4702 3.07343i 0.513991 0.137723i
\(499\) −9.44430 + 9.44430i −0.422785 + 0.422785i −0.886161 0.463377i \(-0.846638\pi\)
0.463377 + 0.886161i \(0.346638\pi\)
\(500\) 22.4453 + 25.9105i 1.00378 + 1.15875i
\(501\) −6.49919 24.2553i −0.290363 1.08365i
\(502\) 5.32928 0.237857
\(503\) −6.24460 23.3052i −0.278433 1.03913i −0.953506 0.301375i \(-0.902554\pi\)
0.675073 0.737751i \(-0.264112\pi\)
\(504\) 1.45192 + 2.51480i 0.0646736 + 0.112018i
\(505\) 7.73542 + 17.6773i 0.344221 + 0.786630i
\(506\) 2.03659i 0.0905374i
\(507\) 19.2044 + 17.2718i 0.852899 + 0.767066i
\(508\) −1.13721 + 1.13721i −0.0504555 + 0.0504555i
\(509\) 3.59537 + 0.963376i 0.159362 + 0.0427009i 0.337618 0.941283i \(-0.390379\pi\)
−0.178256 + 0.983984i \(0.557046\pi\)
\(510\) 29.5125 12.9144i 1.30683 0.571858i
\(511\) −8.12538 4.69119i −0.359446 0.207526i
\(512\) 8.22064i 0.363304i
\(513\) 2.48471 4.30365i 0.109703 0.190011i
\(514\) −1.89156 + 0.506841i −0.0834330 + 0.0223558i
\(515\) 2.65804 2.12445i 0.117127 0.0936144i
\(516\) 20.2942 35.1506i 0.893403 1.54742i
\(517\) −16.8850 4.52433i −0.742603 0.198980i
\(518\) 3.29028 1.89964i 0.144567 0.0834656i
\(519\) 27.2503 1.19615
\(520\) 6.56926 18.1972i 0.288081 0.797999i
\(521\) 45.2323 1.98166 0.990832 0.135103i \(-0.0431364\pi\)
0.990832 + 0.135103i \(0.0431364\pi\)
\(522\) −17.9366 + 10.3557i −0.785062 + 0.453256i
\(523\) −1.10259 0.295439i −0.0482131 0.0129187i 0.234632 0.972084i \(-0.424612\pi\)
−0.282845 + 0.959166i \(0.591278\pi\)
\(524\) 7.81683 13.5392i 0.341480 0.591461i
\(525\) 10.7283 6.77362i 0.468221 0.295625i
\(526\) −33.0208 + 8.84790i −1.43978 + 0.385787i
\(527\) −0.531466 + 0.920525i −0.0231510 + 0.0400987i
\(528\) 7.93430i 0.345296i
\(529\) 19.8948 + 11.4863i 0.864992 + 0.499403i
\(530\) 29.8179 + 11.6653i 1.29521 + 0.506706i
\(531\) 0.00210457 0.000563919i 9.13307e−5 2.44720e-5i
\(532\) −3.37434 + 3.37434i −0.146296 + 0.146296i
\(533\) −1.58663 0.860880i −0.0687246 0.0372889i
\(534\) 32.2479i 1.39550i
\(535\) −30.2484 11.8337i −1.30775 0.511614i
\(536\) 7.28818 + 12.6235i 0.314801 + 0.545252i
\(537\) 6.50114 + 24.2626i 0.280545 + 1.04701i
\(538\) −54.8782 −2.36597
\(539\) −7.59005 28.3265i −0.326927 1.22011i
\(540\) −4.19714 27.6423i −0.180616 1.18953i
\(541\) 22.3573 22.3573i 0.961218 0.961218i −0.0380580 0.999276i \(-0.512117\pi\)
0.999276 + 0.0380580i \(0.0121172\pi\)
\(542\) 28.5171 7.64112i 1.22491 0.328214i
\(543\) −4.19929 + 15.6720i −0.180209 + 0.672548i
\(544\) 5.37376 20.0551i 0.230398 0.859857i
\(545\) 9.32685 + 11.6694i 0.399518 + 0.499864i
\(546\) −18.1005 9.82101i −0.774628 0.420300i
\(547\) −5.20384 5.20384i −0.222500 0.222500i 0.587050 0.809550i \(-0.300289\pi\)
−0.809550 + 0.587050i \(0.800289\pi\)
\(548\) 5.83096 + 10.0995i 0.249086 + 0.431430i
\(549\) −1.14218 + 0.659440i −0.0487472 + 0.0281442i
\(550\) −61.4242 + 2.43209i −2.61914 + 0.103705i
\(551\) −8.36844 8.36844i −0.356507 0.356507i
\(552\) −0.683964 0.394887i −0.0291114 0.0168075i
\(553\) −12.3630 7.13781i −0.525730 0.303530i
\(554\) −19.4608 19.4608i −0.826812 0.826812i
\(555\) 5.80505 0.881427i 0.246411 0.0374145i
\(556\) −3.92517 + 2.26620i −0.166464 + 0.0961081i
\(557\) −3.29321 5.70401i −0.139538 0.241687i 0.787784 0.615952i \(-0.211228\pi\)
−0.927322 + 0.374265i \(0.877895\pi\)
\(558\) −0.497544 0.497544i −0.0210627 0.0210627i
\(559\) 0.635748 + 24.0144i 0.0268893 + 1.01570i
\(560\) 0.231518 2.07505i 0.00978343 0.0876871i
\(561\) −9.04887 + 33.7709i −0.382044 + 1.42581i
\(562\) 5.30173 19.7863i 0.223640 0.834636i
\(563\) 28.3543 7.59751i 1.19499 0.320197i 0.394134 0.919053i \(-0.371045\pi\)
0.800856 + 0.598856i \(0.204378\pi\)
\(564\) −13.7855 + 13.7855i −0.580475 + 0.580475i
\(565\) 25.1908 3.82492i 1.05979 0.160916i
\(566\) 15.9347 + 59.4689i 0.669783 + 2.49967i
\(567\) −13.9784 −0.587039
\(568\) 7.55046 + 28.1787i 0.316810 + 1.18235i
\(569\) −16.9543 29.3658i −0.710763 1.23108i −0.964571 0.263823i \(-0.915016\pi\)
0.253808 0.967255i \(-0.418317\pi\)
\(570\) −11.1634 + 4.88501i −0.467585 + 0.204611i
\(571\) 33.5525i 1.40413i 0.712113 + 0.702065i \(0.247738\pi\)
−0.712113 + 0.702065i \(0.752262\pi\)
\(572\) 31.5662 + 51.4782i 1.31985 + 2.15241i
\(573\) −20.7277 + 20.7277i −0.865910 + 0.865910i
\(574\) 1.39019 + 0.372500i 0.0580253 + 0.0155478i
\(575\) −0.385424 + 0.733112i −0.0160733 + 0.0305729i
\(576\) 10.7031 + 6.17945i 0.445964 + 0.257477i
\(577\) 11.0413i 0.459654i 0.973232 + 0.229827i \(0.0738160\pi\)
−0.973232 + 0.229827i \(0.926184\pi\)
\(578\) −7.45188 + 12.9070i −0.309957 + 0.536862i
\(579\) −28.9729 + 7.76326i −1.20407 + 0.322630i
\(580\) −66.1743 7.38321i −2.74774 0.306571i
\(581\) 1.69571 2.93706i 0.0703499 0.121850i
\(582\) −18.0589 4.83886i −0.748565 0.200577i
\(583\) −30.0940 + 17.3748i −1.24636 + 0.719589i
\(584\) 17.6282 0.729461
\(585\) −4.92547 5.83879i −0.203643 0.241404i
\(586\) 58.8002 2.42902
\(587\) 20.3567 11.7529i 0.840209 0.485095i −0.0171260 0.999853i \(-0.505452\pi\)
0.857335 + 0.514758i \(0.172118\pi\)
\(588\) −31.5916 8.46495i −1.30282 0.349089i
\(589\) 0.201033 0.348199i 0.00828342 0.0143473i
\(590\) 0.00722594 + 0.00904086i 0.000297487 + 0.000372206i
\(591\) 29.4999 7.90448i 1.21346 0.325147i
\(592\) 0.483123 0.836794i 0.0198563 0.0343920i
\(593\) 30.6582i 1.25898i 0.777007 + 0.629491i \(0.216737\pi\)
−0.777007 + 0.629491i \(0.783263\pi\)
\(594\) 43.4198 + 25.0684i 1.78153 + 1.02857i
\(595\) 3.35196 8.56804i 0.137417 0.351255i
\(596\) −50.9882 13.6622i −2.08856 0.559627i
\(597\) −16.0948 + 16.0948i −0.658717 + 0.658717i
\(598\) 1.34385 0.0355767i 0.0549542 0.00145484i
\(599\) 7.49378i 0.306188i 0.988212 + 0.153094i \(0.0489237\pi\)
−0.988212 + 0.153094i \(0.951076\pi\)
\(600\) −11.0931 + 21.1002i −0.452875 + 0.861410i
\(601\) 7.04653 + 12.2049i 0.287434 + 0.497850i 0.973196 0.229975i \(-0.0738645\pi\)
−0.685763 + 0.727825i \(0.740531\pi\)
\(602\) −4.95724 18.5007i −0.202042 0.754030i
\(603\) 5.75533 0.234375
\(604\) 11.2834 + 42.1101i 0.459113 + 1.71343i
\(605\) 24.9742 33.9159i 1.01534 1.37888i
\(606\) −27.2872 + 27.2872i −1.10847 + 1.10847i
\(607\) −14.5660 + 3.90296i −0.591218 + 0.158416i −0.542010 0.840372i \(-0.682336\pi\)
−0.0492080 + 0.998789i \(0.515670\pi\)
\(608\) −2.03268 + 7.58608i −0.0824363 + 0.307656i
\(609\) −6.37837 + 23.8044i −0.258465 + 0.964604i
\(610\) −6.96260 0.776832i −0.281908 0.0314530i
\(611\) 2.69044 11.2207i 0.108844 0.453941i
\(612\) 6.61779 + 6.61779i 0.267508 + 0.267508i
\(613\) −5.95807 10.3197i −0.240644 0.416808i 0.720254 0.693711i \(-0.244025\pi\)
−0.960898 + 0.276903i \(0.910692\pi\)
\(614\) −28.6614 + 16.5477i −1.15668 + 0.667810i
\(615\) 1.79106 + 1.31886i 0.0722225 + 0.0531814i
\(616\) −11.8375 11.8375i −0.476945 0.476945i
\(617\) 33.6292 + 19.4158i 1.35386 + 0.781652i 0.988788 0.149326i \(-0.0477105\pi\)
0.365074 + 0.930979i \(0.381044\pi\)
\(618\) 5.89344 + 3.40258i 0.237069 + 0.136872i
\(619\) −14.9567 14.9567i −0.601159 0.601159i 0.339461 0.940620i \(-0.389755\pi\)
−0.940620 + 0.339461i \(0.889755\pi\)
\(620\) −0.339582 2.23648i −0.0136379 0.0898191i
\(621\) 0.585021 0.337762i 0.0234761 0.0135539i
\(622\) −35.8469 62.0887i −1.43733 2.48953i
\(623\) 6.51241 + 6.51241i 0.260914 + 0.260914i
\(624\) −5.23549 + 0.138602i −0.209587 + 0.00554853i
\(625\) 22.5712 + 10.7490i 0.902847 + 0.429961i
\(626\) 9.87514 36.8545i 0.394690 1.47300i
\(627\) 3.42284 12.7742i 0.136695 0.510153i
\(628\) 12.8681 3.44799i 0.513492 0.137590i
\(629\) 3.01067 3.01067i 0.120043 0.120043i
\(630\) 4.90426 + 3.61128i 0.195390 + 0.143877i
\(631\) −10.1085 37.7256i −0.402415 1.50183i −0.808775 0.588119i \(-0.799869\pi\)
0.406360 0.913713i \(-0.366798\pi\)
\(632\) 26.8219 1.06692
\(633\) 1.63726 + 6.11032i 0.0650751 + 0.242864i
\(634\) −17.5143 30.3357i −0.695582 1.20478i
\(635\) −0.427310 + 1.09226i −0.0169573 + 0.0433450i
\(636\) 38.7550i 1.53674i
\(637\) 18.5588 5.50316i 0.735325 0.218043i
\(638\) 84.4296 84.4296i 3.34260 3.34260i
\(639\) 11.1261 + 2.98122i 0.440141 + 0.117935i
\(640\) 14.7637 + 33.7386i 0.583585 + 1.33363i
\(641\) −7.55607 4.36250i −0.298447 0.172308i 0.343298 0.939226i \(-0.388456\pi\)
−0.641745 + 0.766918i \(0.721789\pi\)
\(642\) 64.9590i 2.56373i
\(643\) −7.39852 + 12.8146i −0.291769 + 0.505359i −0.974228 0.225565i \(-0.927577\pi\)
0.682459 + 0.730924i \(0.260911\pi\)
\(644\) −0.626588 + 0.167894i −0.0246910 + 0.00661594i
\(645\) 3.28220 29.4178i 0.129237 1.15832i
\(646\) −4.41809 + 7.65235i −0.173827 + 0.301078i
\(647\) 32.7213 + 8.76765i 1.28641 + 0.344692i 0.836295 0.548280i \(-0.184717\pi\)
0.450113 + 0.892972i \(0.351384\pi\)
\(648\) 22.7449 13.1318i 0.893505 0.515865i
\(649\) −0.0125609 −0.000493060
\(650\) −2.67783 40.4885i −0.105033 1.58809i
\(651\) −0.837243 −0.0328141
\(652\) 24.4425 14.1119i 0.957242 0.552664i
\(653\) 19.5581 + 5.24059i 0.765369 + 0.205080i 0.620325 0.784345i \(-0.287001\pi\)
0.145044 + 0.989425i \(0.453667\pi\)
\(654\) −14.9382 + 25.8737i −0.584128 + 1.01174i
\(655\) 1.26422 11.3310i 0.0493973 0.442739i
\(656\) 0.353557 0.0947353i 0.0138041 0.00369879i
\(657\) 3.48016 6.02782i 0.135774 0.235168i
\(658\) 9.19981i 0.358646i
\(659\) −26.2317 15.1449i −1.02184 0.589961i −0.107205 0.994237i \(-0.534190\pi\)
−0.914637 + 0.404276i \(0.867523\pi\)
\(660\) −29.8284 68.1652i −1.16107 2.65333i
\(661\) −21.1339 5.66280i −0.822012 0.220257i −0.176786 0.984249i \(-0.556570\pi\)
−0.645226 + 0.763992i \(0.723237\pi\)
\(662\) 27.1574 27.1574i 1.05550 1.05550i
\(663\) −22.4419 5.38101i −0.871572 0.208981i
\(664\) 6.37202i 0.247282i
\(665\) −1.26792 + 3.24096i −0.0491677 + 0.125679i
\(666\) 1.40925 + 2.44090i 0.0546074 + 0.0945829i
\(667\) −0.416380 1.55395i −0.0161223 0.0601693i
\(668\) 38.7520 1.49936
\(669\) −6.10774 22.7944i −0.236139 0.881282i
\(670\) 24.6179 + 18.1275i 0.951071 + 0.700326i
\(671\) 5.37640 5.37640i 0.207553 0.207553i
\(672\) 15.7969 4.23277i 0.609379 0.163283i
\(673\) 0.148622 0.554664i 0.00572895 0.0213807i −0.963002 0.269494i \(-0.913144\pi\)
0.968731 + 0.248113i \(0.0798104\pi\)
\(674\) −20.6424 + 77.0386i −0.795117 + 2.96742i
\(675\) −10.8857 17.2411i −0.418989 0.663610i
\(676\) −33.4167 + 21.7284i −1.28526 + 0.835707i
\(677\) −11.5229 11.5229i −0.442862 0.442862i 0.450111 0.892973i \(-0.351385\pi\)
−0.892973 + 0.450111i \(0.851385\pi\)
\(678\) 25.4786 + 44.1302i 0.978498 + 1.69481i
\(679\) −4.62416 + 2.66976i −0.177459 + 0.102456i
\(680\) 2.59496 + 17.0904i 0.0995124 + 0.655386i
\(681\) −38.8688 38.8688i −1.48946 1.48946i
\(682\) 3.51300 + 2.02823i 0.134520 + 0.0776650i
\(683\) 17.4121 + 10.0529i 0.666256 + 0.384663i 0.794657 0.607059i \(-0.207651\pi\)
−0.128400 + 0.991722i \(0.540984\pi\)
\(684\) −2.50325 2.50325i −0.0957143 0.0957143i
\(685\) 6.84843 + 5.04288i 0.261665 + 0.192679i
\(686\) −30.7929 + 17.7783i −1.17568 + 0.678777i
\(687\) −18.1232 31.3902i −0.691442 1.19761i
\(688\) −3.44440 3.44440i −0.131317 0.131317i
\(689\) −11.9905 19.5541i −0.456802 0.744953i
\(690\) −1.64623 0.183673i −0.0626709 0.00699232i
\(691\) −11.2156 + 41.8571i −0.426661 + 1.59232i 0.333608 + 0.942712i \(0.391734\pi\)
−0.760269 + 0.649608i \(0.774933\pi\)
\(692\) −10.8842 + 40.6205i −0.413756 + 1.54416i
\(693\) −6.38467 + 1.71077i −0.242534 + 0.0649867i
\(694\) 20.5310 20.5310i 0.779346 0.779346i
\(695\) −1.95991 + 2.66164i −0.0743436 + 0.100962i
\(696\) −11.9841 44.7253i −0.454256 1.69531i
\(697\) 1.61289 0.0610926
\(698\) −15.6421 58.3773i −0.592064 2.20961i
\(699\) 22.9764 + 39.7962i 0.869046 + 1.50523i
\(700\) 5.81200 + 18.6976i 0.219673 + 0.706702i
\(701\) 8.03468i 0.303466i 0.988422 + 0.151733i \(0.0484853\pi\)
−0.988422 + 0.151733i \(0.951515\pi\)
\(702\) −15.7830 + 29.0886i −0.595692 + 1.09788i
\(703\) −1.13882 + 1.13882i −0.0429514 + 0.0429514i
\(704\) −68.8216 18.4407i −2.59381 0.695010i
\(705\) −5.17995 + 13.2406i −0.195088 + 0.498670i
\(706\) 45.4404 + 26.2350i 1.71017 + 0.987369i
\(707\) 11.0212i 0.414495i
\(708\) −0.00700440 + 0.0121320i −0.000263242 + 0.000455948i
\(709\) 21.9526 5.88217i 0.824446 0.220910i 0.178157 0.984002i \(-0.442987\pi\)
0.646289 + 0.763092i \(0.276320\pi\)
\(710\) 38.2008 + 47.7956i 1.43365 + 1.79374i
\(711\) 5.29519 9.17153i 0.198585 0.343959i
\(712\) −16.7146 4.47866i −0.626406 0.167845i
\(713\) 0.0473328 0.0273276i 0.00177263 0.00102343i
\(714\) 18.4000 0.688604
\(715\) 36.1399 + 25.1645i 1.35156 + 0.941100i
\(716\) −38.7636 −1.44866
\(717\) 6.37039 3.67794i 0.237906 0.137355i
\(718\) −28.2014 7.55655i −1.05247 0.282008i
\(719\) 21.4786 37.2021i 0.801018 1.38740i −0.117928 0.993022i \(-0.537625\pi\)
0.918946 0.394382i \(-0.129041\pi\)
\(720\) 1.53938 + 0.171752i 0.0573693 + 0.00640081i
\(721\) 1.87732 0.503026i 0.0699149 0.0187336i
\(722\) −19.7115 + 34.1413i −0.733585 + 1.27061i
\(723\) 41.3467i 1.53770i
\(724\) −21.6841 12.5193i −0.805882 0.465276i
\(725\) −46.3705 + 14.4139i −1.72216 + 0.535319i
\(726\) 81.3643 + 21.8015i 3.01971 + 0.809129i
\(727\) −1.42786 + 1.42786i −0.0529563 + 0.0529563i −0.733089 0.680133i \(-0.761922\pi\)
0.680133 + 0.733089i \(0.261922\pi\)
\(728\) 7.60422 8.01779i 0.281831 0.297159i
\(729\) 13.9369i 0.516183i
\(730\) 33.8718 14.8220i 1.25365 0.548586i
\(731\) −10.7322 18.5887i −0.396945 0.687528i
\(732\) −2.19473 8.19086i −0.0811197 0.302743i
\(733\) 32.1064 1.18588 0.592939 0.805247i \(-0.297967\pi\)
0.592939 + 0.805247i \(0.297967\pi\)
\(734\) 8.66065 + 32.3220i 0.319670 + 1.19303i
\(735\) −23.5816 + 3.58058i −0.869820 + 0.132072i
\(736\) −0.754907 + 0.754907i −0.0278262 + 0.0278262i
\(737\) −32.0491 + 8.58752i −1.18054 + 0.316325i
\(738\) −0.276339 + 1.03131i −0.0101722 + 0.0379631i
\(739\) 5.31771 19.8460i 0.195615 0.730046i −0.796492 0.604650i \(-0.793313\pi\)
0.992107 0.125396i \(-0.0400202\pi\)
\(740\) −1.00474 + 9.00534i −0.0369351 + 0.331043i
\(741\) 8.48891 + 2.03543i 0.311848 + 0.0747733i
\(742\) 12.9317 + 12.9317i 0.474736 + 0.474736i
\(743\) −11.2520 19.4891i −0.412797 0.714985i 0.582398 0.812904i \(-0.302115\pi\)
−0.995194 + 0.0979193i \(0.968781\pi\)
\(744\) 1.36232 0.786533i 0.0499449 0.0288357i
\(745\) −38.0601 + 5.77897i −1.39442 + 0.211725i
\(746\) −9.83771 9.83771i −0.360184 0.360184i
\(747\) 2.17886 + 1.25796i 0.0797202 + 0.0460265i
\(748\) −46.7261 26.9773i −1.70848 0.986389i
\(749\) −13.1184 13.1184i −0.479334 0.479334i
\(750\) −3.57372 + 49.8702i −0.130494 + 1.82100i
\(751\) 1.44204 0.832560i 0.0526207 0.0303806i −0.473459 0.880816i \(-0.656995\pi\)
0.526080 + 0.850435i \(0.323661\pi\)
\(752\) 1.16986 + 2.02626i 0.0426605 + 0.0738901i
\(753\) 3.32640 + 3.32640i 0.121221 + 0.121221i
\(754\) 57.1861 + 54.2364i 2.08260 + 1.97517i
\(755\) 19.8498 + 24.8355i 0.722410 + 0.903855i
\(756\) 4.13321 15.4254i 0.150324 0.561015i
\(757\) −10.1014 + 37.6990i −0.367143 + 1.37019i 0.497350 + 0.867550i \(0.334306\pi\)
−0.864493 + 0.502645i \(0.832360\pi\)
\(758\) −39.7186 + 10.6426i −1.44265 + 0.386556i
\(759\) 1.27119 1.27119i 0.0461412 0.0461412i
\(760\) −0.981575 6.46463i −0.0356055 0.234497i
\(761\) −4.20973 15.7109i −0.152603 0.569521i −0.999299 0.0374441i \(-0.988078\pi\)
0.846696 0.532077i \(-0.178588\pi\)
\(762\) −2.34565 −0.0849739
\(763\) 2.20841 + 8.24188i 0.0799496 + 0.298376i
\(764\) −22.6186 39.1766i −0.818313 1.41736i
\(765\) 6.35620 + 2.48665i 0.229809 + 0.0899052i
\(766\) 23.0560i 0.833045i
\(767\) −0.000219424 0.00828839i −7.92293e−6 0.000299276i
\(768\) −15.4289 + 15.4289i −0.556741 + 0.556741i
\(769\) 38.5504 + 10.3296i 1.39016 + 0.372493i 0.874803 0.484479i \(-0.160991\pi\)
0.515362 + 0.856973i \(0.327658\pi\)
\(770\) −32.6982 12.7921i −1.17836 0.460995i
\(771\) −1.49702 0.864306i −0.0539139 0.0311272i
\(772\) </