Properties

Label 65.2.o.a.63.5
Level $65$
Weight $2$
Character 65.63
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.o (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: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 63.5
Root \(2.25081i\) of defining polynomial
Character \(\chi\) \(=\) 65.63
Dual form 65.2.o.a.32.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.12540 + 1.94926i) q^{2} +(0.514229 - 1.91913i) q^{3} +(-1.53307 + 2.65535i) q^{4} +(-2.22228 + 0.247944i) q^{5} +(4.31958 - 1.15743i) q^{6} +(-1.10607 - 0.638592i) q^{7} -2.39966 q^{8} +(-0.820542 - 0.473740i) q^{9} +O(q^{10})\) \(q+(1.12540 + 1.94926i) q^{2} +(0.514229 - 1.91913i) q^{3} +(-1.53307 + 2.65535i) q^{4} +(-2.22228 + 0.247944i) q^{5} +(4.31958 - 1.15743i) q^{6} +(-1.10607 - 0.638592i) q^{7} -2.39966 q^{8} +(-0.820542 - 0.473740i) q^{9} +(-2.98427 - 4.05275i) q^{10} +(-5.27612 - 1.41373i) q^{11} +(4.30760 + 4.30760i) q^{12} +(3.50617 + 0.840691i) q^{13} -2.87469i q^{14} +(-0.666923 + 4.39234i) q^{15} +(0.365551 + 0.633152i) q^{16} +(3.11179 - 0.833802i) q^{17} -2.13259i q^{18} +(0.315395 + 1.17707i) q^{19} +(2.74852 - 6.28104i) q^{20} +(-1.79431 + 1.79431i) q^{21} +(-3.18204 - 11.8755i) q^{22} +(0.160006 + 0.0428736i) 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} +(3.39137 - 1.95801i) q^{28} +(-8.41068 + 4.85591i) q^{29} +(-9.31234 + 3.64315i) q^{30} +(0.233305 + 0.233305i) q^{31} +(-3.22244 + 5.58143i) q^{32} +(-5.42627 + 9.39857i) q^{33} +(5.12732 + 5.12732i) q^{34} +(2.61634 + 1.14488i) q^{35} +(2.51589 - 1.45255i) q^{36} +(-1.14457 + 0.660816i) 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} +(-5.51690 - 1.47825i) q^{42} +(-1.72444 - 6.43569i) q^{43} +(11.8426 - 11.8426i) q^{44} +(1.94093 + 0.849334i) q^{45} +(0.0965002 + 0.360144i) q^{46} -3.20027i q^{47} +(1.40308 - 0.375953i) q^{48} +(-2.68440 - 4.64952i) q^{49} +(7.63673 + 8.26642i) q^{50} -6.40069i q^{51} +(-7.60752 + 8.02127i) q^{52} +(4.49845 + 4.49845i) q^{53} +(8.86603 + 2.37565i) q^{54} +(12.0755 + 1.83353i) q^{55} +(2.65420 + 1.53240i) q^{56} +2.42113 q^{57} +(-18.9308 - 10.9297i) q^{58} +(-0.00222123 + 0.000595178i) q^{59} +(-10.6407 - 8.50465i) q^{60} +(-0.695993 + 1.20550i) q^{61} +(-0.192209 + 0.717332i) q^{62} +(0.605053 + 1.04798i) q^{63} -13.0440 q^{64} +(-8.00014 - 0.998915i) q^{65} -24.4270 q^{66} +(-3.03718 - 5.26055i) q^{67} +(-2.55655 + 9.54117i) q^{68} +(0.164560 - 0.285026i) q^{69} +(0.712764 + 6.38837i) q^{70} +(11.7428 - 3.14648i) q^{71} +(1.96902 + 1.13681i) q^{72} +7.34614 q^{73} +(-2.57620 - 1.48737i) q^{74} +(0.393034 - 9.92635i) q^{75} +(-3.60906 - 0.967044i) q^{76} +(4.93298 + 4.93298i) q^{77} +(16.1182 - 0.426708i) q^{78} +11.1774i q^{79} +(-0.969342 - 1.31640i) q^{80} +(-5.47236 - 9.47841i) q^{81} +(1.08848 - 0.291657i) q^{82} +2.65539i q^{83} +(-2.01373 - 7.51533i) q^{84} +(-6.70854 + 2.62449i) q^{85} +(10.6041 - 10.6041i) q^{86} +(4.99409 + 18.6382i) q^{87} +(12.6609 + 3.39247i) 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} +(0.567713 - 0.327769i) q^{93} +(6.23815 - 3.60160i) q^{94} +(-0.992745 - 2.53758i) q^{95} +(9.05440 + 9.05440i) q^{96} +(-2.09035 + 3.62059i) q^{97} +(6.04207 - 10.4652i) q^{98} +(3.65954 + 3.65954i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} + O(q^{10}) \) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} - 10q^{10} - 16q^{11} + 24q^{12} + 2q^{13} + 12q^{15} - 2q^{16} - 10q^{17} + 20q^{19} + 14q^{20} + 4q^{21} + 16q^{22} - 2q^{23} - 32q^{24} - 18q^{25} - 24q^{26} + 4q^{27} + 6q^{28} + 14q^{30} - 6q^{32} - 18q^{33} - 2q^{34} - 20q^{35} + 36q^{36} + 42q^{37} + 8q^{38} - 4q^{39} - 16q^{40} + 10q^{41} - 56q^{42} - 22q^{43} + 36q^{44} + 52q^{45} + 4q^{46} + 28q^{48} - 18q^{49} + 44q^{50} + 46q^{52} - 10q^{53} + 48q^{54} + 26q^{55} - 12q^{57} - 90q^{58} + 16q^{59} - 92q^{60} - 16q^{61} - 40q^{62} - 32q^{63} - 20q^{64} + 8q^{65} - 32q^{66} - 58q^{67} + 28q^{68} + 16q^{69} + 32q^{70} - 16q^{71} - 66q^{72} + 72q^{73} - 18q^{74} - 34q^{75} - 64q^{76} + 28q^{77} + 32q^{78} - 34q^{80} - 14q^{81} + 22q^{82} + 40q^{84} - 6q^{85} + 60q^{86} + 62q^{87} + 50q^{88} + 6q^{89} - 46q^{90} + 8q^{91} - 8q^{92} + 48q^{93} + 48q^{94} + 14q^{95} + 56q^{96} - 22q^{97} + 4q^{98} - 60q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.12540 + 1.94926i 0.795780 + 1.37833i 0.922342 + 0.386373i \(0.126272\pi\)
−0.126562 + 0.991959i \(0.540394\pi\)
\(3\) 0.514229 1.91913i 0.296890 1.10801i −0.642815 0.766022i \(-0.722233\pi\)
0.939705 0.341987i \(-0.111100\pi\)
\(4\) −1.53307 + 2.65535i −0.766533 + 1.32767i
\(5\) −2.22228 + 0.247944i −0.993833 + 0.110884i
\(6\) 4.31958 1.15743i 1.76346 0.472518i
\(7\) −1.10607 0.638592i −0.418057 0.241365i 0.276189 0.961103i \(-0.410928\pi\)
−0.694245 + 0.719738i \(0.744262\pi\)
\(8\) −2.39966 −0.848406
\(9\) −0.820542 0.473740i −0.273514 0.157913i
\(10\) −2.98427 4.05275i −0.943708 1.28159i
\(11\) −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
\(13\) 3.50617 + 0.840691i 0.972437 + 0.233166i
\(14\) 2.87469i 0.768294i
\(15\) −0.666923 + 4.39234i −0.172199 + 1.13410i
\(16\) 0.365551 + 0.633152i 0.0913876 + 0.158288i
\(17\) 3.11179 0.833802i 0.754721 0.202227i 0.139110 0.990277i \(-0.455576\pi\)
0.615611 + 0.788050i \(0.288909\pi\)
\(18\) 2.13259i 0.502657i
\(19\) 0.315395 + 1.17707i 0.0723567 + 0.270039i 0.992621 0.121259i \(-0.0386931\pi\)
−0.920264 + 0.391297i \(0.872026\pi\)
\(20\) 2.74852 6.28104i 0.614588 1.40448i
\(21\) −1.79431 + 1.79431i −0.391551 + 0.391551i
\(22\) −3.18204 11.8755i −0.678413 2.53187i
\(23\) 0.160006 + 0.0428736i 0.0333637 + 0.00893976i 0.275462 0.961312i \(-0.411169\pi\)
−0.242099 + 0.970252i \(0.577836\pi\)
\(24\) −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
\(28\) 3.39137 1.95801i 0.640908 0.370029i
\(29\) −8.41068 + 4.85591i −1.56182 + 0.901719i −0.564751 + 0.825262i \(0.691028\pi\)
−0.997073 + 0.0764575i \(0.975639\pi\)
\(30\) −9.31234 + 3.64315i −1.70019 + 0.665145i
\(31\) 0.233305 + 0.233305i 0.0419027 + 0.0419027i 0.727748 0.685845i \(-0.240567\pi\)
−0.685845 + 0.727748i \(0.740567\pi\)
\(32\) −3.22244 + 5.58143i −0.569652 + 0.986667i
\(33\) −5.42627 + 9.39857i −0.944592 + 1.63608i
\(34\) 5.12732 + 5.12732i 0.879328 + 0.879328i
\(35\) 2.61634 + 1.14488i 0.442242 + 0.193521i
\(36\) 2.51589 1.45255i 0.419315 0.242091i
\(37\) −1.14457 + 0.660816i −0.188166 + 0.108638i −0.591124 0.806581i \(-0.701315\pi\)
0.402958 + 0.915219i \(0.367982\pi\)
\(38\) −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 \(0.0708860\pi\)
\(42\) −5.51690 1.47825i −0.851277 0.228099i
\(43\) −1.72444 6.43569i −0.262974 0.981434i −0.963479 0.267786i \(-0.913708\pi\)
0.700504 0.713648i \(-0.252959\pi\)
\(44\) 11.8426 11.8426i 1.78534 1.78534i
\(45\) 1.94093 + 0.849334i 0.289337 + 0.126611i
\(46\) 0.0965002 + 0.360144i 0.0142282 + 0.0531003i
\(47\) 3.20027i 0.466808i −0.972380 0.233404i \(-0.925014\pi\)
0.972380 0.233404i \(-0.0749864\pi\)
\(48\) 1.40308 0.375953i 0.202517 0.0542642i
\(49\) −2.68440 4.64952i −0.383486 0.664217i
\(50\) 7.63673 + 8.26642i 1.08000 + 1.16905i
\(51\) 6.40069i 0.896276i
\(52\) −7.60752 + 8.02127i −1.05497 + 1.11235i
\(53\) 4.49845 + 4.49845i 0.617909 + 0.617909i 0.944995 0.327086i \(-0.106067\pi\)
−0.327086 + 0.944995i \(0.606067\pi\)
\(54\) 8.86603 + 2.37565i 1.20651 + 0.323285i
\(55\) 12.0755 + 1.83353i 1.62827 + 0.247232i
\(56\) 2.65420 + 1.53240i 0.354682 + 0.204776i
\(57\) 2.42113 0.320687
\(58\) −18.9308 10.9297i −2.48574 1.43514i
\(59\) −0.00222123 0.000595178i −0.000289180 7.74855e-5i −0.258964 0.965887i \(-0.583381\pi\)
0.258674 + 0.965965i \(0.416714\pi\)
\(60\) −10.6407 8.50465i −1.37371 1.09795i
\(61\) −0.695993 + 1.20550i −0.0891128 + 0.154348i −0.907136 0.420837i \(-0.861736\pi\)
0.818024 + 0.575185i \(0.195070\pi\)
\(62\) −0.192209 + 0.717332i −0.0244105 + 0.0911013i
\(63\) 0.605053 + 1.04798i 0.0762295 + 0.132033i
\(64\) −13.0440 −1.63050
\(65\) −8.00014 0.998915i −0.992295 0.123900i
\(66\) −24.4270 −3.00675
\(67\) −3.03718 5.26055i −0.371050 0.642678i 0.618677 0.785645i \(-0.287669\pi\)
−0.989727 + 0.142967i \(0.954336\pi\)
\(68\) −2.55655 + 9.54117i −0.310027 + 1.15704i
\(69\) 0.164560 0.285026i 0.0198107 0.0343131i
\(70\) 0.712764 + 6.38837i 0.0851916 + 0.763557i
\(71\) 11.7428 3.14648i 1.39361 0.373418i 0.517567 0.855643i \(-0.326838\pi\)
0.876048 + 0.482225i \(0.160171\pi\)
\(72\) 1.96902 + 1.13681i 0.232051 + 0.133975i
\(73\) 7.34614 0.859801 0.429901 0.902876i \(-0.358549\pi\)
0.429901 + 0.902876i \(0.358549\pi\)
\(74\) −2.57620 1.48737i −0.299477 0.172903i
\(75\) 0.393034 9.92635i 0.0453837 1.14620i
\(76\) −3.60906 0.967044i −0.413987 0.110928i
\(77\) 4.93298 + 4.93298i 0.562166 + 0.562166i
\(78\) 16.1182 0.426708i 1.82503 0.0483152i
\(79\) 11.1774i 1.25756i 0.777584 + 0.628779i \(0.216445\pi\)
−0.777584 + 0.628779i \(0.783555\pi\)
\(80\) −0.969342 1.31640i −0.108376 0.147178i
\(81\) −5.47236 9.47841i −0.608040 1.05316i
\(82\) 1.08848 0.291657i 0.120202 0.0322081i
\(83\) 2.65539i 0.291467i 0.989324 + 0.145733i \(0.0465542\pi\)
−0.989324 + 0.145733i \(0.953446\pi\)
\(84\) −2.01373 7.51533i −0.219716 0.819990i
\(85\) −6.70854 + 2.62449i −0.727643 + 0.284666i
\(86\) 10.6041 10.6041i 1.14347 1.14347i
\(87\) 4.99409 + 18.6382i 0.535423 + 1.99823i
\(88\) 12.6609 + 3.39247i 1.34965 + 0.361639i
\(89\) 1.86638 6.96542i 0.197836 0.738333i −0.793679 0.608337i \(-0.791837\pi\)
0.991515 0.129996i \(-0.0414964\pi\)
\(90\) 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
\(93\) 0.567713 0.327769i 0.0588691 0.0339881i
\(94\) 6.23815 3.60160i 0.643416 0.371477i
\(95\) −0.992745 2.53758i −0.101853 0.260350i
\(96\) 9.05440 + 9.05440i 0.924111 + 0.924111i
\(97\) −2.09035 + 3.62059i −0.212243 + 0.367616i −0.952416 0.304801i \(-0.901410\pi\)
0.740173 + 0.672416i \(0.234743\pi\)
\(98\) 6.04207 10.4652i 0.610341 1.05714i
\(99\) 3.65954 + 3.65954i 0.367797 + 0.367797i
\(100\) −4.55063 + 14.6397i −0.455063 + 1.46397i
\(101\) −7.47319 + 4.31465i −0.743610 + 0.429323i −0.823380 0.567490i \(-0.807915\pi\)
0.0797704 + 0.996813i \(0.474581\pi\)
\(102\) 12.4766 7.20336i 1.23537 0.713239i
\(103\) −1.07603 + 1.07603i −0.106025 + 0.106025i −0.758129 0.652104i \(-0.773886\pi\)
0.652104 + 0.758129i \(0.273886\pi\)
\(104\) −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
\(107\) −14.0309 3.75956i −1.35642 0.363451i −0.493917 0.869509i \(-0.664435\pi\)
−0.862499 + 0.506058i \(0.831102\pi\)
\(108\) 3.23619 + 12.0776i 0.311403 + 1.16217i
\(109\) 4.72405 4.72405i 0.452481 0.452481i −0.443696 0.896177i \(-0.646333\pi\)
0.896177 + 0.443696i \(0.146333\pi\)
\(110\) 10.0159 + 25.6018i 0.954974 + 2.44103i
\(111\) 0.679621 + 2.53638i 0.0645068 + 0.240743i
\(112\) 0.933751i 0.0882311i
\(113\) −11.0065 + 2.94919i −1.03541 + 0.277437i −0.736209 0.676754i \(-0.763386\pi\)
−0.299199 + 0.954191i \(0.596719\pi\)
\(114\) 2.72475 + 4.71941i 0.255197 + 0.442013i
\(115\) −0.366209 0.0556044i −0.0341492 0.00518514i
\(116\) 29.7777i 2.76479i
\(117\) −2.47869 2.35084i −0.229155 0.217335i
\(118\) −0.00365994 0.00365994i −0.000336925 0.000336925i
\(119\) −3.97433 1.06492i −0.364326 0.0976210i
\(120\) 1.60039 10.5401i 0.146094 0.962175i
\(121\) 16.3126 + 9.41807i 1.48296 + 0.856188i
\(122\) −3.13309 −0.283657
\(123\) −0.861447 0.497357i −0.0776741 0.0448452i
\(124\) −0.977176 + 0.261833i −0.0877530 + 0.0235133i
\(125\) −10.5649 + 3.65819i −0.944956 + 0.327199i
\(126\) −1.36186 + 2.35881i −0.121324 + 0.210139i
\(127\) −0.135757 + 0.506651i −0.0120465 + 0.0449580i −0.971687 0.236270i \(-0.924075\pi\)
0.959641 + 0.281228i \(0.0907417\pi\)
\(128\) −8.23486 14.2632i −0.727865 1.26070i
\(129\) −13.2377 −1.16551
\(130\) −7.05624 16.7185i −0.618873 1.46631i
\(131\) 5.09883 0.445486 0.222743 0.974877i \(-0.428499\pi\)
0.222743 + 0.974877i \(0.428499\pi\)
\(132\) −16.6377 28.8173i −1.44812 2.50822i
\(133\) 0.402818 1.50334i 0.0349287 0.130356i
\(134\) 6.83610 11.8405i 0.590549 1.02286i
\(135\) −5.69316 + 7.12309i −0.489989 + 0.613058i
\(136\) −7.46723 + 2.00084i −0.640310 + 0.171571i
\(137\) 3.29390 + 1.90173i 0.281417 + 0.162476i 0.634065 0.773280i \(-0.281385\pi\)
−0.352648 + 0.935756i \(0.614719\pi\)
\(138\) 0.740785 0.0630598
\(139\) 1.28017 + 0.739106i 0.108583 + 0.0626902i 0.553308 0.832977i \(-0.313365\pi\)
−0.444725 + 0.895667i \(0.646699\pi\)
\(140\) −7.05109 + 5.19211i −0.595926 + 0.438813i
\(141\) −6.14173 1.64567i −0.517227 0.138591i
\(142\) 19.3487 + 19.3487i 1.62371 + 1.62371i
\(143\) −17.3105 9.39238i −1.44758 0.785431i
\(144\) 0.692704i 0.0577253i
\(145\) 17.4869 12.8766i 1.45221 1.06934i
\(146\) 8.26737 + 14.3195i 0.684213 + 1.18509i
\(147\) −10.3034 + 2.76079i −0.849811 + 0.227706i
\(148\) 4.05230i 0.333097i
\(149\) 4.45586 + 16.6295i 0.365038 + 1.36234i 0.867369 + 0.497665i \(0.165809\pi\)
−0.502331 + 0.864675i \(0.667524\pi\)
\(150\) 19.7913 10.4050i 1.61596 0.849567i
\(151\) −10.0539 + 10.0539i −0.818178 + 0.818178i −0.985844 0.167666i \(-0.946377\pi\)
0.167666 + 0.985844i \(0.446377\pi\)
\(152\) −0.756840 2.82457i −0.0613879 0.229103i
\(153\) −2.94836 0.790011i −0.238361 0.0638686i
\(154\) −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 −0.573799 0.818996i \(-0.694531\pi\)
0.818996 + 0.573799i \(0.194531\pi\)
\(158\) −21.7876 + 12.5791i −1.73333 + 1.00074i
\(159\) 10.9463 6.31986i 0.868100 0.501198i
\(160\) 5.77728 13.2025i 0.456734 1.04375i
\(161\) −0.149600 0.149600i −0.0117902 0.0117902i
\(162\) 12.3172 21.3341i 0.967733 1.67616i
\(163\) −4.60251 + 7.97177i −0.360496 + 0.624398i −0.988043 0.154182i \(-0.950726\pi\)
0.627546 + 0.778579i \(0.284059\pi\)
\(164\) 1.08546 + 1.08546i 0.0847602 + 0.0847602i
\(165\) 9.72836 22.2317i 0.757352 1.73073i
\(166\) −5.17603 + 2.98838i −0.401738 + 0.231944i
\(167\) 10.9455 6.31936i 0.846985 0.489007i −0.0126474 0.999920i \(-0.504026\pi\)
0.859632 + 0.510913i \(0.170693\pi\)
\(168\) 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
\(172\) 19.7327 + 5.28736i 1.50460 + 0.403157i
\(173\) −3.54983 13.2481i −0.269888 1.00724i −0.959190 0.282762i \(-0.908749\pi\)
0.689302 0.724474i \(-0.257917\pi\)
\(174\) −30.7103 + 30.7103i −2.32814 + 2.32814i
\(175\) −6.09810 1.89555i −0.460973 0.143290i
\(176\) −1.03358 3.85738i −0.0779092 0.290761i
\(177\) 0.00456889i 0.000343419i
\(178\) 15.6778 4.20086i 1.17510 0.314867i
\(179\) 6.32126 + 10.9487i 0.472473 + 0.818347i 0.999504 0.0314989i \(-0.0100281\pi\)
−0.527031 + 0.849846i \(0.676695\pi\)
\(180\) −5.23085 + 3.85177i −0.389885 + 0.287094i
\(181\) 8.16619i 0.606988i −0.952833 0.303494i \(-0.901847\pi\)
0.952833 0.303494i \(-0.0981533\pi\)
\(182\) 2.41673 10.0792i 0.179140 0.747118i
\(183\) 1.95560 + 1.95560i 0.144562 + 0.144562i
\(184\) −0.383960 0.102882i −0.0283059 0.00758455i
\(185\) 2.37970 1.75231i 0.174959 0.128832i
\(186\) 1.27781 + 0.737745i 0.0936937 + 0.0540941i
\(187\) −17.5970 −1.28682
\(188\) 8.49784 + 4.90623i 0.619769 + 0.357824i
\(189\) −5.03089 + 1.34802i −0.365943 + 0.0980542i
\(190\) 3.82916 4.79091i 0.277796 0.347569i
\(191\) 7.37692 12.7772i 0.533775 0.924526i −0.465446 0.885076i \(-0.654106\pi\)
0.999222 0.0394498i \(-0.0125605\pi\)
\(192\) −6.70758 + 25.0330i −0.484078 + 1.80660i
\(193\) 7.54845 + 13.0743i 0.543349 + 0.941109i 0.998709 + 0.0508011i \(0.0161775\pi\)
−0.455359 + 0.890308i \(0.650489\pi\)
\(194\) −9.40995 −0.675595
\(195\) −6.03094 + 14.8396i −0.431885 + 1.06269i
\(196\) 16.4614 1.17582
\(197\) 7.68576 + 13.3121i 0.547588 + 0.948450i 0.998439 + 0.0558510i \(0.0177872\pi\)
−0.450851 + 0.892599i \(0.648879\pi\)
\(198\) −3.01492 + 11.2518i −0.214261 + 0.799633i
\(199\) −5.72810 + 9.92136i −0.406054 + 0.703307i −0.994444 0.105271i \(-0.966429\pi\)
0.588389 + 0.808578i \(0.299762\pi\)
\(200\) −11.7032 + 2.64443i −0.827544 + 0.186989i
\(201\) −11.6575 + 3.12361i −0.822254 + 0.220322i
\(202\) −16.8207 9.71144i −1.18350 0.683294i
\(203\) 12.4038 0.870574
\(204\) 16.9961 + 9.81268i 1.18996 + 0.687025i
\(205\) −0.168056 + 1.10681i −0.0117375 + 0.0773031i
\(206\) −3.30843 0.886492i −0.230509 0.0617648i
\(207\) −0.110981 0.110981i −0.00771372 0.00771372i
\(208\) 0.749397 + 2.52726i 0.0519614 + 0.175234i
\(209\) 6.65626i 0.460423i
\(210\) 12.6266 + 1.91720i 0.871320 + 0.132299i
\(211\) −1.59195 2.75735i −0.109595 0.189823i 0.806011 0.591900i \(-0.201622\pi\)
−0.915606 + 0.402076i \(0.868289\pi\)
\(212\) −18.8414 + 5.04852i −1.29403 + 0.346734i
\(213\) 24.1539i 1.65500i
\(214\) −8.46205 31.5808i −0.578454 2.15882i
\(215\) 5.42788 + 13.8743i 0.370178 + 0.946222i
\(216\) −6.91961 + 6.91961i −0.470820 + 0.470820i
\(217\) −0.109066 0.407038i −0.00740386 0.0276316i
\(218\) 14.5248 + 3.89192i 0.983746 + 0.263594i
\(219\) 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
\(223\) −10.2862 + 5.93874i −0.688815 + 0.397688i −0.803168 0.595753i \(-0.796854\pi\)
0.114353 + 0.993440i \(0.463521\pi\)
\(224\) 7.12851 4.11565i 0.476294 0.274988i
\(225\) −4.52388 1.40621i −0.301592 0.0937475i
\(226\) −18.1355 18.1355i −1.20636 1.20636i
\(227\) 13.8333 23.9600i 0.918149 1.59028i 0.115924 0.993258i \(-0.463017\pi\)
0.802225 0.597022i \(-0.203650\pi\)
\(228\) −3.71176 + 6.42896i −0.245817 + 0.425768i
\(229\) −12.9000 12.9000i −0.852455 0.852455i 0.137980 0.990435i \(-0.455939\pi\)
−0.990435 + 0.137980i \(0.955939\pi\)
\(230\) −0.303746 0.776413i −0.0200284 0.0511952i
\(231\) 12.0037 6.93034i 0.789786 0.455983i
\(232\) 20.1827 11.6525i 1.32506 0.765024i
\(233\) 16.3545 16.3545i 1.07142 1.07142i 0.0741712 0.997246i \(-0.476369\pi\)
0.997246 0.0741712i \(-0.0236311\pi\)
\(234\) 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
\(237\) 21.4509 + 5.74774i 1.39338 + 0.373356i
\(238\) −2.39693 8.94546i −0.155370 0.579848i
\(239\) 2.61794 2.61794i 0.169341 0.169341i −0.617349 0.786690i \(-0.711793\pi\)
0.786690 + 0.617349i \(0.211793\pi\)
\(240\) −3.02481 + 1.18336i −0.195251 + 0.0763854i
\(241\) 5.38613 + 20.1013i 0.346951 + 1.29484i 0.890316 + 0.455343i \(0.150483\pi\)
−0.543365 + 0.839496i \(0.682850\pi\)
\(242\) 42.3965i 2.72535i
\(243\) −9.18717 + 2.46169i −0.589357 + 0.157918i
\(244\) −2.13401 3.69621i −0.136616 0.236625i
\(245\) 7.11831 + 9.66694i 0.454772 + 0.617598i
\(246\) 2.23891i 0.142748i
\(247\) 0.116277 + 4.39216i 0.00739850 + 0.279467i
\(248\) −0.559851 0.559851i −0.0355505 0.0355505i
\(249\) 5.09603 + 1.36548i 0.322948 + 0.0865336i
\(250\) −19.0206 16.4768i −1.20297 1.04208i
\(251\) −2.05050 1.18386i −0.129427 0.0747245i 0.433889 0.900966i \(-0.357141\pi\)
−0.563315 + 0.826242i \(0.690474\pi\)
\(252\) −3.71034 −0.233730
\(253\) −0.783602 0.452413i −0.0492647 0.0284430i
\(254\) −1.14037 + 0.305562i −0.0715533 + 0.0191727i
\(255\) 1.58701 + 14.2241i 0.0993827 + 0.890749i
\(256\) 5.49109 9.51085i 0.343193 0.594428i
\(257\) 0.225182 0.840391i 0.0140465 0.0524221i −0.958547 0.284935i \(-0.908028\pi\)
0.972593 + 0.232513i \(0.0746947\pi\)
\(258\) −14.8977 25.8036i −0.927492 1.60646i
\(259\) 1.68797 0.104885
\(260\) 14.9172 19.7117i 0.925126 1.22247i
\(261\) 9.20175 0.569574
\(262\) 5.73824 + 9.93892i 0.354509 + 0.614028i
\(263\) −3.93099 + 14.6707i −0.242395 + 0.904632i 0.732279 + 0.681004i \(0.238457\pi\)
−0.974675 + 0.223627i \(0.928210\pi\)
\(264\) 13.0212 22.5533i 0.801398 1.38806i
\(265\) −11.1122 8.88144i −0.682615 0.545582i
\(266\) 3.38372 0.906665i 0.207469 0.0555912i
\(267\) −12.4078 7.16363i −0.759343 0.438407i
\(268\) 18.6248 1.13769
\(269\) −21.1150 12.1908i −1.28741 0.743285i −0.309216 0.950992i \(-0.600067\pi\)
−0.978191 + 0.207707i \(0.933400\pi\)
\(270\) −20.2918 3.08107i −1.23492 0.187508i
\(271\) −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
\(273\) −7.79964 + 4.78271i −0.472055 + 0.289463i
\(274\) 8.56086i 0.517181i
\(275\) −27.2898 1.08054i −1.64564 0.0651591i
\(276\) 0.504562 + 0.873927i 0.0303711 + 0.0526042i
\(277\) 11.8109 3.16472i 0.709647 0.190149i 0.114099 0.993469i \(-0.463602\pi\)
0.595548 + 0.803320i \(0.296935\pi\)
\(278\) 3.32717i 0.199550i
\(279\) −0.0809104 0.301962i −0.00484398 0.0180780i
\(280\) −6.27831 2.74733i −0.375201 0.164184i
\(281\) −6.43529 + 6.43529i −0.383897 + 0.383897i −0.872504 0.488607i \(-0.837505\pi\)
0.488607 + 0.872504i \(0.337505\pi\)
\(282\) −3.70409 13.8239i −0.220575 0.823198i
\(283\) 26.4212 + 7.07953i 1.57057 + 0.420834i 0.935992 0.352021i \(-0.114505\pi\)
0.634583 + 0.772855i \(0.281172\pi\)
\(284\) −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
\(288\) 5.28829 3.05320i 0.311616 0.179911i
\(289\) −5.73440 + 3.31076i −0.337318 + 0.194750i
\(290\) 44.7795 + 19.5951i 2.62954 + 1.15066i
\(291\) 5.87346 + 5.87346i 0.344308 + 0.344308i
\(292\) −11.2621 + 19.5066i −0.659066 + 1.14154i
\(293\) 13.0620 22.6241i 0.763092 1.32171i −0.178157 0.984002i \(-0.557013\pi\)
0.941249 0.337713i \(-0.109653\pi\)
\(294\) −16.9770 16.9770i −0.990118 0.990118i
\(295\) 0.00478863 0.00187339i 0.000278805 0.000109073i
\(296\) 2.74657 1.58573i 0.159641 0.0921688i
\(297\) −19.2908 + 11.1375i −1.11936 + 0.646265i
\(298\) −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
\(302\) −30.9124 8.28296i −1.77881 0.476631i
\(303\) 4.43743 + 16.5607i 0.254924 + 0.951388i
\(304\) −0.629972 + 0.629972i −0.0361314 + 0.0361314i
\(305\) 1.24780 2.85151i 0.0714485 0.163277i
\(306\) −1.77816 6.63619i −0.101651 0.379366i
\(307\) 14.7038i 0.839189i −0.907712 0.419595i \(-0.862172\pi\)
0.907712 0.419595i \(-0.137828\pi\)
\(308\) −20.6614 + 5.53620i −1.17729 + 0.315454i
\(309\) 1.51172 + 2.61837i 0.0859985 + 0.148954i
\(310\) 0.249283 1.64177i 0.0141583 0.0932462i
\(311\) 31.8525i 1.80619i 0.429440 + 0.903095i \(0.358711\pi\)
−0.429440 + 0.903095i \(0.641289\pi\)
\(312\) −8.19810 + 15.1094i −0.464126 + 0.855401i
\(313\) −11.9865 11.9865i −0.677519 0.677519i 0.281919 0.959438i \(-0.409029\pi\)
−0.959438 + 0.281919i \(0.909029\pi\)
\(314\) 9.44628 + 2.53112i 0.533084 + 0.142840i
\(315\) −1.60444 2.17889i −0.0903998 0.122767i
\(316\) −29.6799 17.1357i −1.66963 0.963959i
\(317\) 15.5627 0.874088 0.437044 0.899440i \(-0.356025\pi\)
0.437044 + 0.899440i \(0.356025\pi\)
\(318\) 24.6380 + 14.2248i 1.38163 + 0.797686i
\(319\) 51.2407 13.7299i 2.86893 0.768728i
\(320\) 28.9874 3.23418i 1.62044 0.180796i
\(321\) −14.4302 + 24.9938i −0.805413 + 1.39502i
\(322\) 0.123249 0.459970i 0.00686837 0.0256331i
\(323\) 1.96289 + 3.39983i 0.109218 + 0.189171i
\(324\) 33.5580 1.86433
\(325\) 18.0262 + 0.236281i 0.999914 + 0.0131065i
\(326\) −20.7187 −1.14750
\(327\) −6.63680 11.4953i −0.367016 0.635691i
\(328\) −0.310945 + 1.16046i −0.0171691 + 0.0640758i
\(329\) −2.04367 + 3.53974i −0.112671 + 0.195152i
\(330\) 54.2835 6.05653i 2.98821 0.333401i
\(331\) −16.4820 + 4.41633i −0.905930 + 0.242743i −0.681561 0.731761i \(-0.738699\pi\)
−0.224369 + 0.974504i \(0.572032\pi\)
\(332\) −7.05098 4.07089i −0.386973 0.223419i
\(333\) 1.25222 0.0686212
\(334\) 24.6361 + 14.2237i 1.34803 + 0.778284i
\(335\) 8.05378 + 10.9374i 0.440025 + 0.597571i
\(336\) −1.79199 0.480161i −0.0977609 0.0261949i
\(337\) −25.0560 25.0560i −1.36489 1.36489i −0.867568 0.497319i \(-0.834318\pi\)
−0.497319 0.867568i \(-0.665682\pi\)
\(338\) 1.54818 + 29.2195i 0.0842098 + 1.58933i
\(339\) 22.6395i 1.22961i
\(340\) 3.31569 21.8370i 0.179818 1.18428i
\(341\) −0.901114 1.56077i −0.0487980 0.0845207i
\(342\) 2.51022 0.672610i 0.135737 0.0363706i
\(343\) 15.7972i 0.852971i
\(344\) 4.13806 + 15.4435i 0.223109 + 0.832655i
\(345\) −0.295027 + 0.674209i −0.0158837 + 0.0362982i
\(346\) 21.8290 21.8290i 1.17354 1.17354i
\(347\) 3.33874 + 12.4604i 0.179233 + 0.668907i 0.995792 + 0.0916446i \(0.0292124\pi\)
−0.816559 + 0.577262i \(0.804121\pi\)
\(348\) −57.1472 15.3125i −3.06341 0.820838i
\(349\) 6.94957 25.9362i 0.372002 1.38833i −0.485674 0.874140i \(-0.661426\pi\)
0.857676 0.514191i \(-0.171908\pi\)
\(350\) −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
\(353\) 20.1885 11.6558i 1.07453 0.620378i 0.145111 0.989415i \(-0.453646\pi\)
0.929414 + 0.369038i \(0.120313\pi\)
\(354\) −0.00890593 + 0.00514184i −0.000473345 + 0.000273286i
\(355\) −25.3156 + 9.90391i −1.34361 + 0.525645i
\(356\) 15.6343 + 15.6343i 0.828617 + 0.828617i
\(357\) −4.08743 + 7.07964i −0.216330 + 0.374694i
\(358\) −14.2279 + 24.6435i −0.751970 + 1.30245i
\(359\) −9.17222 9.17222i −0.484091 0.484091i 0.422344 0.906435i \(-0.361207\pi\)
−0.906435 + 0.422344i \(0.861207\pi\)
\(360\) −4.65757 2.03811i −0.245476 0.107418i
\(361\) 15.1685 8.75751i 0.798340 0.460922i
\(362\) 15.9180 9.19026i 0.836631 0.483029i
\(363\) 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
\(367\) −14.3602 3.84780i −0.749595 0.200853i −0.136256 0.990674i \(-0.543507\pi\)
−0.613338 + 0.789820i \(0.710174\pi\)
\(368\) 0.0313449 + 0.116981i 0.00163397 + 0.00609805i
\(369\) −0.335423 + 0.335423i −0.0174614 + 0.0174614i
\(370\) 6.09382 + 2.66660i 0.316803 + 0.138630i
\(371\) −2.10294 7.84829i −0.109179 0.407463i
\(372\) 2.00997i 0.104212i
\(373\) −5.97055 + 1.59980i −0.309144 + 0.0828348i −0.410055 0.912061i \(-0.634491\pi\)
0.100912 + 0.994895i \(0.467824\pi\)
\(374\) −19.8037 34.3010i −1.02403 1.77366i
\(375\) 1.58775 + 22.1566i 0.0819911 + 1.14416i
\(376\) 7.67955i 0.396043i
\(377\) −33.5716 + 9.95486i −1.72902 + 0.512701i
\(378\) −8.28942 8.28942i −0.426362 0.426362i
\(379\) −17.6464 4.72834i −0.906435 0.242878i −0.224657 0.974438i \(-0.572126\pi\)
−0.681778 + 0.731559i \(0.738793\pi\)
\(380\) 8.26010 + 1.25420i 0.423734 + 0.0643389i
\(381\) 0.902517 + 0.521068i 0.0462373 + 0.0266951i
\(382\) 33.2081 1.69907
\(383\) −8.87106 5.12171i −0.453290 0.261707i 0.255929 0.966696i \(-0.417619\pi\)
−0.709219 + 0.704989i \(0.750952\pi\)
\(384\) −31.6075 + 8.46920i −1.61296 + 0.432192i
\(385\) −12.1856 9.73936i −0.621034 0.496364i
\(386\) −16.9901 + 29.4277i −0.864774 + 1.49783i
\(387\) −1.63387 + 6.09769i −0.0830543 + 0.309963i
\(388\) −6.40929 11.1012i −0.325382 0.563579i
\(389\) 3.41200 0.172995 0.0864977 0.996252i \(-0.472432\pi\)
0.0864977 + 0.996252i \(0.472432\pi\)
\(390\) −35.7134 + 4.94469i −1.80842 + 0.250384i
\(391\) 0.533655 0.0269881
\(392\) 6.44164 + 11.1572i 0.325352 + 0.563526i
\(393\) 2.62196 9.78529i 0.132260 0.493603i
\(394\) −17.2992 + 29.9630i −0.871519 + 1.50952i
\(395\) −2.77138 24.8393i −0.139443 1.24980i
\(396\) −15.3277 + 4.10703i −0.770244 + 0.206386i
\(397\) −10.3335 5.96603i −0.518622 0.299426i 0.217749 0.976005i \(-0.430129\pi\)
−0.736371 + 0.676578i \(0.763462\pi\)
\(398\) −25.7857 −1.29252
\(399\) −2.67795 1.54612i −0.134065 0.0774027i
\(400\) 2.48054 + 2.68508i 0.124027 + 0.134254i
\(401\) 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
\(403\) 0.621869 + 1.01414i 0.0309775 + 0.0505181i
\(404\) 26.4586i 1.31636i
\(405\) 14.5112 + 19.7068i 0.721069 + 0.979240i
\(406\) 13.9592 + 24.1781i 0.692786 + 1.19994i
\(407\) 6.97310 1.86844i 0.345644 0.0926149i
\(408\) 15.3595i 0.760406i
\(409\) 1.79597 + 6.70266i 0.0888051 + 0.331425i 0.996008 0.0892692i \(-0.0284531\pi\)
−0.907202 + 0.420694i \(0.861786\pi\)
\(410\) −2.34659 + 0.918026i −0.115890 + 0.0453381i
\(411\) 5.34348 5.34348i 0.263574 0.263574i
\(412\) −1.20761 4.50687i −0.0594948 0.222037i
\(413\) 0.00283692 0.000760151i 0.000139596 3.74046e-5i
\(414\) 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
\(418\) 12.9748 7.49098i 0.634616 0.366396i
\(419\) 18.3846 10.6144i 0.898147 0.518546i 0.0215487 0.999768i \(-0.493140\pi\)
0.876599 + 0.481222i \(0.159807\pi\)
\(420\) 6.33844 + 16.2019i 0.309284 + 0.790570i
\(421\) −3.15727 3.15727i −0.153876 0.153876i 0.625971 0.779847i \(-0.284703\pi\)
−0.779847 + 0.625971i \(0.784703\pi\)
\(422\) 3.58318 6.20625i 0.174427 0.302116i
\(423\) −1.51610 + 2.62596i −0.0737152 + 0.127678i
\(424\) −10.7947 10.7947i −0.524238 0.524238i
\(425\) 14.2575 7.49570i 0.691591 0.363595i
\(426\) 47.0822 27.1829i 2.28114 1.31702i
\(427\) 1.53964 0.888911i 0.0745084 0.0430174i
\(428\) 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 \(-0.248256\pi\)
\(432\) 2.87984 + 0.771651i 0.138556 + 0.0371261i
\(433\) 2.09465 + 7.81733i 0.100662 + 0.375677i 0.997817 0.0660397i \(-0.0210364\pi\)
−0.897155 + 0.441716i \(0.854370\pi\)
\(434\) 0.670679 0.670679i 0.0321936 0.0321936i
\(435\) −15.7195 40.1810i −0.753692 1.92653i
\(436\) 5.30171 + 19.7863i 0.253906 + 0.947590i
\(437\) 0.201861i 0.00965633i
\(438\) 31.7323 8.50264i 1.51623 0.406272i
\(439\) −14.3336 24.8265i −0.684104 1.18490i −0.973717 0.227759i \(-0.926860\pi\)
0.289613 0.957144i \(-0.406473\pi\)
\(440\) −28.9772 4.39983i −1.38143 0.209754i
\(441\) 5.08683i 0.242230i
\(442\) 13.6668 + 22.2877i 0.650062 + 1.06012i
\(443\) −17.1586 17.1586i −0.815229 0.815229i 0.170184 0.985412i \(-0.445564\pi\)
−0.985412 + 0.170184i \(0.945564\pi\)
\(444\) −7.77688 2.08381i −0.369074 0.0988931i
\(445\) −2.42058 + 15.9419i −0.114746 + 0.755716i
\(446\) −23.1523 13.3670i −1.09629 0.632944i
\(447\) 34.2054 1.61786
\(448\) 14.4276 + 8.32978i 0.681640 + 0.393545i
\(449\) −8.85389 + 2.37239i −0.417841 + 0.111960i −0.461613 0.887081i \(-0.652729\pi\)
0.0437720 + 0.999042i \(0.486062\pi\)
\(450\) −2.35012 10.4008i −0.110786 0.490297i
\(451\) −1.36735 + 2.36832i −0.0643860 + 0.111520i
\(452\) 9.04261 33.7475i 0.425329 1.58735i
\(453\) 14.1248 + 24.4648i 0.663639 + 1.14946i
\(454\) 62.2722 2.92258
\(455\) 8.21084 + 6.21370i 0.384930 + 0.291303i
\(456\) −5.80989 −0.272073
\(457\) 10.7399 + 18.6021i 0.502391 + 0.870167i 0.999996 + 0.00276341i \(0.000879623\pi\)
−0.497605 + 0.867404i \(0.665787\pi\)
\(458\) 10.6277 39.6631i 0.496599 1.85333i
\(459\) 6.56877 11.3775i 0.306604 0.531054i
\(460\) 0.709072 0.887168i 0.0330607 0.0413644i
\(461\) −4.90591 + 1.31453i −0.228491 + 0.0612240i −0.371248 0.928534i \(-0.621070\pi\)
0.142757 + 0.989758i \(0.454403\pi\)
\(462\) 27.0180 + 15.5989i 1.25699 + 0.725725i
\(463\) −20.0793 −0.933163 −0.466581 0.884478i \(-0.654515\pi\)
−0.466581 + 0.884478i \(0.654515\pi\)
\(464\) −6.14905 3.55016i −0.285463 0.164812i
\(465\) −1.18035 + 0.869156i −0.0547373 + 0.0403061i
\(466\) 50.2844 + 13.4737i 2.32938 + 0.624156i
\(467\) 21.4507 + 21.4507i 0.992618 + 0.992618i 0.999973 0.00735447i \(-0.00234102\pi\)
−0.00735447 + 0.999973i \(0.502341\pi\)
\(468\) 10.0423 2.97780i 0.464205 0.137649i
\(469\) 7.75807i 0.358234i
\(470\) −12.9699 + 9.55047i −0.598258 + 0.440530i
\(471\) −4.31627 7.47600i −0.198883 0.344476i
\(472\) 0.00533020 0.00142822i 0.000245342 6.57392e-5i
\(473\) 36.3934i 1.67337i
\(474\) 12.9371 + 48.2818i 0.594219 + 2.21766i
\(475\) 2.83533 + 5.39307i 0.130094 + 0.247451i
\(476\) 8.92064 8.92064i 0.408877 0.408877i
\(477\) −1.56007 5.82226i −0.0714306 0.266583i
\(478\) 8.04928 + 2.15680i 0.368166 + 0.0986497i
\(479\) −8.05179 + 30.0497i −0.367896 + 1.37300i 0.495557 + 0.868575i \(0.334964\pi\)
−0.863453 + 0.504430i \(0.831703\pi\)
\(480\) −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
\(483\) −0.364031 + 0.210173i −0.0165640 + 0.00956321i
\(484\) −50.0165 + 28.8770i −2.27348 + 1.31259i
\(485\) 3.74764 8.56426i 0.170171 0.388883i
\(486\) −15.1377 15.1377i −0.686662 0.686662i
\(487\) −9.71579 + 16.8282i −0.440264 + 0.762560i −0.997709 0.0676540i \(-0.978449\pi\)
0.557445 + 0.830214i \(0.311782\pi\)
\(488\) 1.67014 2.89277i 0.0756039 0.130950i
\(489\) 12.9321 + 12.9321i 0.584810 + 0.584810i
\(490\) −10.8324 + 24.7546i −0.489357 + 1.11830i
\(491\) −30.5824 + 17.6568i −1.38017 + 0.796839i −0.992179 0.124825i \(-0.960163\pi\)
−0.387987 + 0.921665i \(0.626830\pi\)
\(492\) 2.64131 1.52496i 0.119079 0.0687506i
\(493\) −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
\(497\) −14.9977 4.01863i −0.672740 0.180260i
\(498\) 3.07343 + 11.4702i 0.137723 + 0.513991i
\(499\) 9.44430 9.44430i 0.422785 0.422785i −0.463377 0.886161i \(-0.653362\pi\)
0.886161 + 0.463377i \(0.153362\pi\)
\(500\) 6.48295 33.6618i 0.289926 1.50540i
\(501\) −6.49919 24.2553i −0.290363 1.08365i
\(502\) 5.32928i 0.237857i
\(503\) 23.3052 6.24460i 1.03913 0.278433i 0.301375 0.953506i \(-0.402554\pi\)
0.737751 + 0.675073i \(0.235888\pi\)
\(504\) −1.45192 2.51480i −0.0646736 0.112018i
\(505\) 15.5377 11.4413i 0.691419 0.509130i
\(506\) 2.03659i 0.0905374i
\(507\) 17.2718 19.2044i 0.767066 0.852899i
\(508\) −1.13721 1.13721i −0.0504555 0.0504555i
\(509\) −3.59537 0.963376i −0.159362 0.0427009i 0.178256 0.983984i \(-0.442954\pi\)
−0.337618 + 0.941283i \(0.609621\pi\)
\(510\) −25.9404 + 19.1014i −1.14866 + 0.845823i
\(511\) −8.12538 4.69119i −0.359446 0.207526i
\(512\) −8.22064 −0.363304
\(513\) 4.30365 + 2.48471i 0.190011 + 0.109703i
\(514\) 1.89156 0.506841i 0.0834330 0.0223558i
\(515\) 2.12445 2.65804i 0.0936144 0.117127i
\(516\) 20.2942 35.1506i 0.893403 1.54742i
\(517\) −4.52433 + 16.8850i −0.198980 + 0.742603i
\(518\) 1.89964 + 3.29028i 0.0834656 + 0.144567i
\(519\) −27.2503 −1.19615
\(520\) 19.1976 + 2.39705i 0.841869 + 0.105118i
\(521\) 45.2323 1.98166 0.990832 0.135103i \(-0.0431364\pi\)
0.990832 + 0.135103i \(0.0431364\pi\)
\(522\) 10.3557 + 17.9366i 0.453256 + 0.785062i
\(523\) 0.295439 1.10259i 0.0129187 0.0482131i −0.959166 0.282845i \(-0.908722\pi\)
0.972084 + 0.234632i \(0.0753885\pi\)
\(524\) −7.81683 + 13.5392i −0.341480 + 0.591461i
\(525\) −6.77362 + 10.7283i −0.295625 + 0.468221i
\(526\) −33.0208 + 8.84790i −1.43978 + 0.385787i
\(527\) 0.920525 + 0.531466i 0.0400987 + 0.0231510i
\(528\) −7.93430 −0.345296
\(529\) −19.8948 11.4863i −0.864992 0.499403i
\(530\) 4.80653 31.6557i 0.208782 1.37503i
\(531\) 0.00210457 0.000563919i 9.13307e−5 2.44720e-5i
\(532\) 3.37434 + 3.37434i 0.146296 + 0.146296i
\(533\) 0.860880 1.58663i 0.0372889 0.0687246i
\(534\) 32.2479i 1.39550i
\(535\) 32.1127 + 4.87592i 1.38835 + 0.210804i
\(536\) 7.28818 + 12.6235i 0.314801 + 0.545252i
\(537\) 24.2626 6.50114i 1.04701 0.280545i
\(538\) 54.8782i 2.36597i
\(539\) 7.59005 + 28.3265i 0.326927 + 1.22011i
\(540\) −10.1863 26.0375i −0.438349 1.12047i
\(541\) 22.3573 22.3573i 0.961218 0.961218i −0.0380580 0.999276i \(-0.512117\pi\)
0.999276 + 0.0380580i \(0.0121172\pi\)
\(542\) −7.64112 28.5171i −0.328214 1.22491i
\(543\) −15.6720 4.19929i −0.672548 0.180209i
\(544\) −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 −0.809550 0.587050i \(-0.800289\pi\)
0.587050 + 0.809550i \(0.300289\pi\)
\(548\) −10.0995 + 5.83096i −0.431430 + 0.249086i
\(549\) 1.14218 0.659440i 0.0487472 0.0281442i
\(550\) −28.6058 54.4109i −1.21976 2.32009i
\(551\) −8.36844 8.36844i −0.356507 0.356507i
\(552\) −0.394887 + 0.683964i −0.0168075 + 0.0291114i
\(553\) 7.13781 12.3630i 0.303530 0.525730i
\(554\) 19.4608 + 19.4608i 0.826812 + 0.826812i
\(555\) −2.13919 5.46804i −0.0908035 0.232105i
\(556\) −3.92517 + 2.26620i −0.166464 + 0.0961081i
\(557\) −5.70401 + 3.29321i −0.241687 + 0.139538i −0.615952 0.787784i \(-0.711228\pi\)
0.374265 + 0.927322i \(0.377895\pi\)
\(558\) 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
\(562\) −19.7863 5.30173i −0.834636 0.223640i
\(563\) 7.59751 + 28.3543i 0.320197 + 1.19499i 0.919053 + 0.394134i \(0.128955\pi\)
−0.598856 + 0.800856i \(0.704378\pi\)
\(564\) 13.7855 13.7855i 0.580475 0.580475i
\(565\) 23.7284 9.28293i 0.998259 0.390536i
\(566\) 15.9347 + 59.4689i 0.669783 + 2.49967i
\(567\) 13.9784i 0.587039i
\(568\) −28.1787 + 7.55046i −1.18235 + 0.316810i
\(569\) 16.9543 + 29.3658i 0.710763 + 1.23108i 0.964571 + 0.263823i \(0.0849835\pi\)
−0.253808 + 0.967255i \(0.581683\pi\)
\(570\) −7.22531 9.81226i −0.302635 0.410990i
\(571\) 33.5525i 1.40413i 0.712113 + 0.702065i \(0.247738\pi\)
−0.712113 + 0.702065i \(0.752262\pi\)
\(572\) 51.4782 31.5662i 2.15241 1.31985i
\(573\) −20.7277 20.7277i −0.865910 0.865910i
\(574\) −1.39019 0.372500i −0.0580253 0.0155478i
\(575\) 0.827606 + 0.0327691i 0.0345136 + 0.00136656i
\(576\) 10.7031 + 6.17945i 0.445964 + 0.257477i
\(577\) 11.0413 0.459654 0.229827 0.973232i \(-0.426184\pi\)
0.229827 + 0.973232i \(0.426184\pi\)
\(578\) −12.9070 7.45188i −0.536862 0.309957i
\(579\) 28.9729 7.76326i 1.20407 0.322630i
\(580\) 7.38321 + 66.1743i 0.306571 + 2.74774i
\(581\) 1.69571 2.93706i 0.0703499 0.121850i
\(582\) −4.83886 + 18.0589i −0.200577 + 0.748565i
\(583\) −17.3748 30.0940i −0.719589 1.24636i
\(584\) −17.6282 −0.729461
\(585\) 6.09122 + 4.60964i 0.251841 + 0.190585i
\(586\) 58.8002 2.42902
\(587\) −11.7529 20.3567i −0.485095 0.840209i 0.514758 0.857335i \(-0.327882\pi\)
−0.999853 + 0.0171260i \(0.994548\pi\)
\(588\) 8.46495 31.5916i 0.349089 1.30282i
\(589\) −0.201033 + 0.348199i −0.00828342 + 0.0143473i
\(590\) 0.00904086 + 0.00722594i 0.000372206 + 0.000297487i
\(591\) 29.4999 7.90448i 1.21346 0.325147i
\(592\) −0.836794 0.483123i −0.0343920 0.0198563i
\(593\) −30.6582 −1.25898 −0.629491 0.777007i \(-0.716737\pi\)
−0.629491 + 0.777007i \(0.716737\pi\)
\(594\) −43.4198 25.0684i −1.78153 1.02857i
\(595\) 9.09612 + 1.38113i 0.372904 + 0.0566210i
\(596\) −50.9882 13.6622i −2.08856 0.559627i
\(597\) 16.0948 + 16.0948i 0.658717 + 0.658717i
\(598\) 0.0355767 + 1.34385i 0.00145484 + 0.0549542i
\(599\) 7.49378i 0.306188i −0.988212 0.153094i \(-0.951076\pi\)
0.988212 0.153094i \(-0.0489237\pi\)
\(600\) −0.943146 + 23.8198i −0.0385038 + 0.972441i
\(601\) 7.04653 + 12.2049i 0.287434 + 0.497850i 0.973196 0.229975i \(-0.0738645\pi\)
−0.685763 + 0.727825i \(0.740531\pi\)
\(602\) −18.5007 + 4.95724i −0.754030 + 0.202042i
\(603\) 5.75533i 0.234375i
\(604\) −11.2834 42.1101i −0.459113 1.71343i
\(605\) −38.5862 16.8850i −1.56875 0.686471i
\(606\) −27.2872 + 27.2872i −1.10847 + 1.10847i
\(607\) 3.90296 + 14.5660i 0.158416 + 0.591218i 0.998789 + 0.0492080i \(0.0156697\pi\)
−0.840372 + 0.542010i \(0.817664\pi\)
\(608\) −7.58608 2.03268i −0.307656 0.0824363i
\(609\) 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
\(613\) 10.3197 5.95807i 0.416808 0.240644i −0.276903 0.960898i \(-0.589308\pi\)
0.693711 + 0.720254i \(0.255975\pi\)
\(614\) 28.6614 16.5477i 1.15668 0.667810i
\(615\) 2.03769 + 0.891675i 0.0821677 + 0.0359558i
\(616\) −11.8375 11.8375i −0.476945 0.476945i
\(617\) 19.4158 33.6292i 0.781652 1.35386i −0.149326 0.988788i \(-0.547710\pi\)
0.930979 0.365074i \(-0.118956\pi\)
\(618\) −3.40258 + 5.89344i −0.136872 + 0.237069i
\(619\) 14.9567 + 14.9567i 0.601159 + 0.601159i 0.940620 0.339461i \(-0.110245\pi\)
−0.339461 + 0.940620i \(0.610245\pi\)
\(620\) 2.10664 0.824152i 0.0846046 0.0330987i
\(621\) 0.585021 0.337762i 0.0234761 0.0135539i
\(622\) −62.0887 + 35.8469i −2.48953 + 1.43733i
\(623\) −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
\(627\) −12.7742 3.42284i −0.510153 0.136695i
\(628\) 3.44799 + 12.8681i 0.137590 + 0.513492i
\(629\) −3.01067 + 3.01067i −0.120043 + 0.120043i
\(630\) 2.44157 5.57959i 0.0972747 0.222296i
\(631\) −10.1085 37.7256i −0.402415 1.50183i −0.808775 0.588119i \(-0.799869\pi\)
0.406360 0.913713i \(-0.366798\pi\)
\(632\) 26.8219i 1.06692i
\(633\) −6.11032 + 1.63726i −0.242864 + 0.0650751i
\(634\) 17.5143 + 30.3357i 0.695582 + 1.20478i
\(635\) 0.176068 1.15958i 0.00698704 0.0460165i
\(636\) 38.7550i 1.53674i
\(637\) −5.50316 18.5588i −0.218043 0.735325i
\(638\) 84.4296 + 84.4296i 3.34260 + 3.34260i
\(639\) −11.1261 2.98122i −0.440141 0.117935i
\(640\) 21.8366 + 29.6550i 0.863168 + 1.17222i
\(641\) −7.55607 4.36250i −0.298447 0.172308i 0.343298 0.939226i \(-0.388456\pi\)
−0.641745 + 0.766918i \(0.721789\pi\)
\(642\) −64.9590 −2.56373
\(643\) −12.8146 7.39852i −0.505359 0.291769i 0.225565 0.974228i \(-0.427577\pi\)
−0.730924 + 0.682459i \(0.760911\pi\)
\(644\) 0.626588 0.167894i 0.0246910 0.00661594i
\(645\) 29.4178 3.28220i 1.15832 0.129237i
\(646\) −4.41809 + 7.65235i −0.173827 + 0.301078i
\(647\) 8.76765 32.7213i 0.344692 1.28641i −0.548280 0.836295i \(-0.684717\pi\)
0.892972 0.450113i \(-0.148616\pi\)
\(648\) 13.1318 + 22.7449i 0.515865 + 0.893505i
\(649\) 0.0125609 0.000493060
\(650\) 19.8262 + 35.4036i 0.777647 + 1.38864i
\(651\) −0.837243 −0.0328141
\(652\) −14.1119 24.4425i −0.552664 0.957242i
\(653\) −5.24059 + 19.5581i −0.205080 + 0.765369i 0.784345 + 0.620325i \(0.212999\pi\)
−0.989425 + 0.145044i \(0.953667\pi\)
\(654\) 14.9382 25.8737i 0.584128 1.01174i
\(655\) −11.3310 + 1.26422i −0.442739 + 0.0493973i
\(656\) 0.353557 0.0947353i 0.0138041 0.00369879i
\(657\) −6.02782 3.48016i −0.235168 0.135774i
\(658\) −9.19981 −0.358646
\(659\) 26.2317 + 15.1449i 1.02184 + 0.589961i 0.914637 0.404276i \(-0.132477\pi\)
0.107205 + 0.994237i \(0.465810\pi\)
\(660\) 44.1186 + 59.9148i 1.71731 + 2.33218i
\(661\) −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
\(663\) 5.38101 22.4419i 0.208981 0.871572i
\(664\) 6.37202i 0.247282i
\(665\) −0.522430 + 3.44071i −0.0202590 + 0.133425i
\(666\) 1.40925 + 2.44090i 0.0546074 + 0.0945829i
\(667\) −1.55395 + 0.416380i −0.0601693 + 0.0161223i
\(668\) 38.7520i 1.49936i
\(669\) 6.10774 + 22.7944i 0.236139 + 0.881282i
\(670\) −12.2559 + 28.0078i −0.473488 + 1.08204i
\(671\) 5.37640 5.37640i 0.207553 0.207553i
\(672\) −4.23277 15.7969i −0.163283 0.609379i
\(673\) 0.554664 + 0.148622i 0.0213807 + 0.00572895i 0.269494 0.963002i \(-0.413144\pi\)
−0.248113 + 0.968731i \(0.579810\pi\)
\(674\) 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 −0.892973 0.450111i \(-0.851385\pi\)
0.450111 + 0.892973i \(0.351385\pi\)
\(678\) −44.1302 + 25.4786i −1.69481 + 0.978498i
\(679\) 4.62416 2.66976i 0.177459 0.102456i
\(680\) 16.0982 6.29788i 0.617337 0.241513i
\(681\) −38.8688 38.8688i −1.48946 1.48946i
\(682\) 2.02823 3.51300i 0.0776650 0.134520i
\(683\) −10.0529 + 17.4121i −0.384663 + 0.666256i −0.991722 0.128400i \(-0.959016\pi\)
0.607059 + 0.794657i \(0.292349\pi\)
\(684\) 2.50325 + 2.50325i 0.0957143 + 0.0957143i
\(685\) −7.79148 3.40948i −0.297697 0.130269i
\(686\) −30.7929 + 17.7783i −1.17568 + 0.678777i
\(687\) −31.3902 + 18.1232i −1.19761 + 0.691442i
\(688\) 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 \(0.774933\pi\)
\(692\) 40.6205 + 10.8842i 1.54416 + 0.413756i
\(693\) −1.71077 6.38467i −0.0649867 0.242534i
\(694\) −20.5310 + 20.5310i −0.779346 + 0.779346i
\(695\) −3.02815 1.32509i −0.114864 0.0502635i
\(696\) −11.9841 44.7253i −0.454256 1.69531i
\(697\) 1.61289i 0.0610926i
\(698\) 58.3773 15.6421i 2.20961 0.592064i
\(699\) −22.9764 39.7962i −0.869046 1.50523i
\(700\) 14.3821 13.2866i 0.543593 0.502186i
\(701\) 8.03468i 0.303466i 0.988422 + 0.151733i \(0.0484853\pi\)
−0.988422 + 0.151733i \(0.951515\pi\)
\(702\) 29.0886 + 15.7830i 1.09788 + 0.595692i
\(703\) −1.13882 1.13882i −0.0429514 0.0429514i
\(704\) 68.8216 + 18.4407i 2.59381 + 0.695010i
\(705\) 14.0567 + 2.13434i 0.529405 + 0.0803837i
\(706\) 45.4404 + 26.2350i 1.71017 + 0.987369i
\(707\) 11.0212 0.414495
\(708\) −0.0121320 0.00700440i −0.000455948 0.000263242i
\(709\) −21.9526 + 5.88217i −0.824446 + 0.220910i −0.646289 0.763092i \(-0.723680\pi\)
−0.178157 + 0.984002i \(0.557013\pi\)
\(710\) −47.7956 38.2008i −1.79374 1.43365i
\(711\) 5.29519 9.17153i 0.198585 0.343959i
\(712\) −4.47866 + 16.7146i −0.167845 + 0.626406i
\(713\) 0.0273276 + 0.0473328i 0.00102343 + 0.00177263i
\(714\) −18.4000 −0.688604
\(715\) 40.7975 + 16.5805i 1.52574 + 0.620074i
\(716\) −38.7636 −1.44866
\(717\) −3.67794 6.37039i −0.137355 0.237906i
\(718\) 7.55655 28.2014i 0.282008 1.05247i
\(719\) −21.4786 + 37.2021i −0.801018 + 1.38740i 0.117928 + 0.993022i \(0.462375\pi\)
−0.918946 + 0.394382i \(0.870959\pi\)
\(720\) 0.171752 + 1.53938i 0.00640081 + 0.0573693i
\(721\) 1.87732 0.503026i 0.0699149 0.0187336i
\(722\) 34.1413 + 19.7115i 1.27061 + 0.733585i
\(723\) 41.3467 1.53770
\(724\) 21.6841 + 12.5193i 0.805882 + 0.465276i
\(725\) −35.6680 + 32.9511i −1.32468 + 1.22377i
\(726\) 81.3643 + 21.8015i 3.01971 + 0.809129i
\(727\) 1.42786 + 1.42786i 0.0529563 + 0.0529563i 0.733089 0.680133i \(-0.238078\pi\)
−0.680133 + 0.733089i \(0.738078\pi\)
\(728\) 8.01779 + 7.60422i 0.297159 + 0.281831i
\(729\) 13.9369i 0.516183i
\(730\) −21.9229 29.7721i −0.811401 1.10191i
\(731\) −10.7322 18.5887i −0.396945 0.687528i
\(732\) −8.19086 + 2.19473i −0.302743 + 0.0811197i
\(733\) 32.1064i 1.18588i 0.805247 + 0.592939i \(0.202033\pi\)
−0.805247 + 0.592939i \(0.797967\pi\)
\(734\) −8.66065 32.3220i −0.319670 1.19303i
\(735\) 22.2125 8.68992i 0.819322 0.320532i
\(736\) −0.754907 + 0.754907i −0.0278262 + 0.0278262i
\(737\) 8.58752 + 32.0491i 0.316325 + 1.18054i
\(738\) −1.03131 0.276339i −0.0379631 0.0101722i
\(739\) −5.31771 + 19.8460i −0.195615 + 0.730046i 0.796492 + 0.604650i \(0.206687\pi\)
−0.992107 + 0.125396i \(0.959980\pi\)
\(740\) 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
\(743\) 19.4891 11.2520i 0.714985 0.412797i −0.0979193 0.995194i \(-0.531219\pi\)
0.812904 + 0.582398i \(0.197885\pi\)
\(744\) −1.36232 + 0.786533i −0.0499449 + 0.0288357i
\(745\) −14.0253 35.8505i −0.513849 1.31346i
\(746\) −9.83771 9.83771i −0.360184 0.360184i
\(747\) 1.25796 2.17886i 0.0460265 0.0797202i
\(748\) 26.9773 46.7261i 0.986389 1.70848i
\(749\) 13.1184 + 13.1184i 0.479334 + 0.479334i
\(750\) −41.4020 + 28.0300i −1.51179 + 1.02351i
\(751\) 1.44204 0.832560i 0.0526207 0.0303806i −0.473459 0.880816i \(-0.656995\pi\)
0.526080 + 0.850435i \(0.323661\pi\)
\(752\) 2.02626 1.16986i 0.0738901 0.0426605i
\(753\) −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
\(757\) 37.6990 + 10.1014i 1.37019 + 0.367143i 0.867550 0.497350i \(-0.165694\pi\)
0.502645 + 0.864493i \(0.332360\pi\)
\(758\) −10.6426 39.7186i −0.386556 1.44265i
\(759\) −1.27119 + 1.27119i −0.0461412 + 0.0461412i
\(760\) 2.38225 + 6.08932i 0.0864131 + 0.220883i
\(761\) −4.20973 15.7109i −0.152603 0.569521i −0.999299 0.0374441i \(-0.988078\pi\)
0.846696 0.532077i \(-0.178588\pi\)
\(762\) 2.34565i 0.0849739i
\(763\) −8.24188 + 2.20841i −0.298376 + 0.0799496i
\(764\) 22.6186 + 39.1766i 0.818313 + 1.41736i
\(765\) 6.74796 + 1.02460i 0.243973 + 0.0370443i
\(766\) 23.0560i 0.833045i
\(767\) −0.00828839 0.000219424i −0.000299276 7.92293e-6i
\(768\) −15.4289 15.4289i −0.556741 0.556741i
\(769\) −38.5504 10.3296i −1.39016 0.372493i −0.515362 0.856973i \(-0.672342\pi\)
−0.874803 + 0.484479i \(0.839009\pi\)
\(770\) 5.27082 34.7135i 0.189947 1.25099i
\(771\) −1.49702 0.864306i −0.0539139 0.0311272i
\(772\)