Properties

Label 177.2.e.a.19.4
Level $177$
Weight $2$
Character 177.19
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 19.4
Character \(\chi\) \(=\) 177.19
Dual form 177.2.e.a.28.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.655840 - 1.23705i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(0.0222185 + 0.0327698i) q^{4} +(2.32817 - 0.512469i) q^{5} +(0.374579 + 1.34911i) q^{6} +(-1.36308 + 1.03619i) q^{7} +(2.83899 - 0.308758i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\) \(q+(0.655840 - 1.23705i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(0.0222185 + 0.0327698i) q^{4} +(2.32817 - 0.512469i) q^{5} +(0.374579 + 1.34911i) q^{6} +(-1.36308 + 1.03619i) q^{7} +(2.83899 - 0.308758i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(0.892959 - 3.21615i) q^{10} +(0.846770 + 2.12523i) q^{11} +(-0.0386663 - 0.00851110i) q^{12} +(-0.224453 - 4.13980i) q^{13} +(0.387849 + 2.36577i) q^{14} +(-1.33782 + 1.97313i) q^{15} +(1.45066 - 3.64089i) q^{16} +(-2.30690 - 1.75366i) q^{17} +(-1.19972 - 0.721851i) q^{18} +(-1.04728 + 0.352870i) q^{19} +(0.0685219 + 0.0649074i) q^{20} +(0.277006 - 1.68966i) q^{21} +(3.18436 + 0.346320i) q^{22} +(-4.30312 + 2.58910i) q^{23} +(-1.84876 + 2.17653i) q^{24} +(0.619866 - 0.286781i) q^{25} +(-5.26832 - 2.43739i) q^{26} +(0.647386 + 0.762162i) q^{27} +(-0.0642415 - 0.0216455i) q^{28} +(2.49387 + 4.70395i) q^{29} +(1.56346 + 2.94900i) q^{30} +(-2.74214 - 0.923934i) q^{31} +(0.144971 + 0.170673i) q^{32} +(-2.07627 - 0.960586i) q^{33} +(-3.68231 + 1.70362i) q^{34} +(-2.64248 + 3.11096i) q^{35} +(0.0339247 - 0.0204118i) q^{36} +(-9.84258 - 1.07044i) q^{37} +(-0.250332 + 1.52696i) q^{38} +(3.00989 + 2.85112i) q^{39} +(6.45141 - 2.17373i) q^{40} +(-3.19256 - 1.92090i) q^{41} +(-1.90852 - 1.45082i) q^{42} +(0.835041 - 2.09579i) q^{43} +(-0.0508296 + 0.0749680i) q^{44} +(-0.385673 - 2.35250i) q^{45} +(0.380678 + 7.02120i) q^{46} +(7.54956 + 1.66178i) q^{47} +(1.45066 + 3.64089i) q^{48} +(-1.08839 + 3.92002i) q^{49} +(0.0517724 - 0.954885i) q^{50} +(2.88079 - 0.313305i) q^{51} +(0.130673 - 0.0993354i) q^{52} +(-1.24085 - 4.46915i) q^{53} +(1.36741 - 0.300990i) q^{54} +(3.06054 + 4.51396i) q^{55} +(-3.54985 + 3.36259i) q^{56} +(0.517652 - 0.976395i) q^{57} +7.45458 q^{58} +(5.56257 + 5.29696i) q^{59} -0.0943834 q^{60} +(5.85104 - 11.0362i) q^{61} +(-2.94135 + 2.78620i) q^{62} +(0.960875 + 1.41718i) q^{63} +(7.96145 - 1.75245i) q^{64} +(-2.64408 - 9.52312i) q^{65} +(-2.54999 + 1.93845i) q^{66} +(-8.79018 + 0.955990i) q^{67} +(0.00621128 - 0.114560i) q^{68} +(1.34352 - 4.83893i) q^{69} +(2.11536 + 5.30916i) q^{70} +(-8.56393 - 1.88506i) q^{71} +(-0.154606 - 2.85154i) q^{72} +(0.561736 + 3.42644i) q^{73} +(-7.77934 + 11.4737i) q^{74} +(-0.252801 + 0.634483i) q^{75} +(-0.0348325 - 0.0264790i) q^{76} +(-3.35637 - 2.01946i) q^{77} +(5.50097 - 1.85349i) q^{78} +(-9.43853 - 8.94065i) q^{79} +(1.51155 - 9.22003i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(-4.47005 + 2.68954i) q^{82} +(11.2514 - 13.2461i) q^{83} +(0.0615246 - 0.0284643i) q^{84} +(-6.26954 - 2.90060i) q^{85} +(-2.04494 - 2.40749i) q^{86} +(-5.04544 - 1.70001i) q^{87} +(3.06015 + 5.77206i) q^{88} +(0.366787 + 0.691834i) q^{89} +(-3.16309 - 1.06577i) q^{90} +(4.59557 + 5.41032i) q^{91} +(-0.180453 - 0.0834867i) q^{92} +(2.62617 - 1.21499i) q^{93} +(7.00700 - 8.24928i) q^{94} +(-2.25741 + 1.35824i) q^{95} +(-0.222620 - 0.0242114i) q^{96} +(-0.438334 + 2.67372i) q^{97} +(4.13543 + 3.91729i) q^{98} +(2.16796 - 0.730471i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{19}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.655840 1.23705i 0.463749 0.874723i −0.535790 0.844351i \(-0.679986\pi\)
0.999539 0.0303719i \(-0.00966915\pi\)
\(3\) −0.725995 + 0.687699i −0.419154 + 0.397043i
\(4\) 0.0222185 + 0.0327698i 0.0111092 + 0.0163849i
\(5\) 2.32817 0.512469i 1.04119 0.229183i 0.338712 0.940890i \(-0.390009\pi\)
0.702476 + 0.711707i \(0.252078\pi\)
\(6\) 0.374579 + 1.34911i 0.152921 + 0.550772i
\(7\) −1.36308 + 1.03619i −0.515198 + 0.391643i −0.830215 0.557443i \(-0.811783\pi\)
0.315018 + 0.949086i \(0.397990\pi\)
\(8\) 2.83899 0.308758i 1.00373 0.109163i
\(9\) 0.0541389 0.998533i 0.0180463 0.332844i
\(10\) 0.892959 3.21615i 0.282378 1.01704i
\(11\) 0.846770 + 2.12523i 0.255311 + 0.640782i 0.999634 0.0270373i \(-0.00860728\pi\)
−0.744324 + 0.667819i \(0.767228\pi\)
\(12\) −0.0386663 0.00851110i −0.0111620 0.00245694i
\(13\) −0.224453 4.13980i −0.0622521 1.14817i −0.848129 0.529790i \(-0.822271\pi\)
0.785877 0.618383i \(-0.212212\pi\)
\(14\) 0.387849 + 2.36577i 0.103657 + 0.632280i
\(15\) −1.33782 + 1.97313i −0.345422 + 0.509460i
\(16\) 1.45066 3.64089i 0.362666 0.910223i
\(17\) −2.30690 1.75366i −0.559505 0.425325i 0.286825 0.957983i \(-0.407400\pi\)
−0.846330 + 0.532658i \(0.821193\pi\)
\(18\) −1.19972 0.721851i −0.282778 0.170142i
\(19\) −1.04728 + 0.352870i −0.240262 + 0.0809538i −0.436857 0.899531i \(-0.643908\pi\)
0.196594 + 0.980485i \(0.437012\pi\)
\(20\) 0.0685219 + 0.0649074i 0.0153220 + 0.0145137i
\(21\) 0.277006 1.68966i 0.0604477 0.368715i
\(22\) 3.18436 + 0.346320i 0.678907 + 0.0738356i
\(23\) −4.30312 + 2.58910i −0.897264 + 0.539866i −0.887872 0.460090i \(-0.847817\pi\)
−0.00939142 + 0.999956i \(0.502989\pi\)
\(24\) −1.84876 + 2.17653i −0.377376 + 0.444282i
\(25\) 0.619866 0.286781i 0.123973 0.0573561i
\(26\) −5.26832 2.43739i −1.03320 0.478011i
\(27\) 0.647386 + 0.762162i 0.124590 + 0.146678i
\(28\) −0.0642415 0.0216455i −0.0121405 0.00409061i
\(29\) 2.49387 + 4.70395i 0.463101 + 0.873501i 0.999563 + 0.0295763i \(0.00941581\pi\)
−0.536462 + 0.843925i \(0.680239\pi\)
\(30\) 1.56346 + 2.94900i 0.285447 + 0.538411i
\(31\) −2.74214 0.923934i −0.492502 0.165943i 0.0620817 0.998071i \(-0.480226\pi\)
−0.554584 + 0.832128i \(0.687123\pi\)
\(32\) 0.144971 + 0.170673i 0.0256275 + 0.0301710i
\(33\) −2.07627 0.960586i −0.361433 0.167217i
\(34\) −3.68231 + 1.70362i −0.631511 + 0.292168i
\(35\) −2.64248 + 3.11096i −0.446660 + 0.525849i
\(36\) 0.0339247 0.0204118i 0.00565411 0.00340197i
\(37\) −9.84258 1.07044i −1.61811 0.175980i −0.746226 0.665693i \(-0.768136\pi\)
−0.871884 + 0.489713i \(0.837102\pi\)
\(38\) −0.250332 + 1.52696i −0.0406092 + 0.247705i
\(39\) 3.00989 + 2.85112i 0.481968 + 0.456544i
\(40\) 6.45141 2.17373i 1.02006 0.343697i
\(41\) −3.19256 1.92090i −0.498594 0.299994i 0.243954 0.969787i \(-0.421555\pi\)
−0.742548 + 0.669793i \(0.766383\pi\)
\(42\) −1.90852 1.45082i −0.294491 0.223866i
\(43\) 0.835041 2.09579i 0.127343 0.319606i −0.851458 0.524423i \(-0.824281\pi\)
0.978800 + 0.204818i \(0.0656602\pi\)
\(44\) −0.0508296 + 0.0749680i −0.00766285 + 0.0113019i
\(45\) −0.385673 2.35250i −0.0574927 0.350690i
\(46\) 0.380678 + 7.02120i 0.0561280 + 1.03522i
\(47\) 7.54956 + 1.66178i 1.10122 + 0.242396i 0.728156 0.685411i \(-0.240378\pi\)
0.373060 + 0.927807i \(0.378309\pi\)
\(48\) 1.45066 + 3.64089i 0.209385 + 0.525517i
\(49\) −1.08839 + 3.92002i −0.155484 + 0.560003i
\(50\) 0.0517724 0.954885i 0.00732172 0.135041i
\(51\) 2.88079 0.313305i 0.403391 0.0438714i
\(52\) 0.130673 0.0993354i 0.0181211 0.0137753i
\(53\) −1.24085 4.46915i −0.170444 0.613885i −0.998576 0.0533509i \(-0.983010\pi\)
0.828132 0.560534i \(-0.189404\pi\)
\(54\) 1.36741 0.300990i 0.186081 0.0409595i
\(55\) 3.06054 + 4.51396i 0.412683 + 0.608662i
\(56\) −3.54985 + 3.36259i −0.474368 + 0.449345i
\(57\) 0.517652 0.976395i 0.0685647 0.129327i
\(58\) 7.45458 0.978834
\(59\) 5.56257 + 5.29696i 0.724185 + 0.689606i
\(60\) −0.0943834 −0.0121848
\(61\) 5.85104 11.0362i 0.749148 1.41304i −0.155917 0.987770i \(-0.549833\pi\)
0.905065 0.425273i \(-0.139822\pi\)
\(62\) −2.94135 + 2.78620i −0.373552 + 0.353847i
\(63\) 0.960875 + 1.41718i 0.121059 + 0.178548i
\(64\) 7.96145 1.75245i 0.995181 0.219056i
\(65\) −2.64408 9.52312i −0.327958 1.18120i
\(66\) −2.54999 + 1.93845i −0.313882 + 0.238607i
\(67\) −8.79018 + 0.955990i −1.07389 + 0.116793i −0.627938 0.778263i \(-0.716101\pi\)
−0.445953 + 0.895056i \(0.647135\pi\)
\(68\) 0.00621128 0.114560i 0.000753229 0.0138925i
\(69\) 1.34352 4.83893i 0.161741 0.582539i
\(70\) 2.11536 + 5.30916i 0.252834 + 0.634566i
\(71\) −8.56393 1.88506i −1.01635 0.223716i −0.324600 0.945852i \(-0.605230\pi\)
−0.691751 + 0.722136i \(0.743161\pi\)
\(72\) −0.154606 2.85154i −0.0182205 0.336057i
\(73\) 0.561736 + 3.42644i 0.0657463 + 0.401034i 0.999113 + 0.0421103i \(0.0134081\pi\)
−0.933367 + 0.358924i \(0.883144\pi\)
\(74\) −7.77934 + 11.4737i −0.904330 + 1.33379i
\(75\) −0.252801 + 0.634483i −0.0291910 + 0.0732638i
\(76\) −0.0348325 0.0264790i −0.00399556 0.00303734i
\(77\) −3.35637 2.01946i −0.382493 0.230139i
\(78\) 5.50097 1.85349i 0.622862 0.209867i
\(79\) −9.43853 8.94065i −1.06192 1.00590i −0.999969 0.00782238i \(-0.997510\pi\)
−0.0619482 0.998079i \(-0.519731\pi\)
\(80\) 1.51155 9.22003i 0.168996 1.03083i
\(81\) −0.994138 0.108119i −0.110460 0.0120132i
\(82\) −4.47005 + 2.68954i −0.493634 + 0.297010i
\(83\) 11.2514 13.2461i 1.23500 1.45395i 0.388598 0.921407i \(-0.372959\pi\)
0.846401 0.532546i \(-0.178765\pi\)
\(84\) 0.0615246 0.0284643i 0.00671289 0.00310571i
\(85\) −6.26954 2.90060i −0.680027 0.314614i
\(86\) −2.04494 2.40749i −0.220512 0.259606i
\(87\) −5.04544 1.70001i −0.540928 0.182260i
\(88\) 3.06015 + 5.77206i 0.326213 + 0.615304i
\(89\) 0.366787 + 0.691834i 0.0388793 + 0.0733342i 0.902191 0.431338i \(-0.141958\pi\)
−0.863311 + 0.504672i \(0.831613\pi\)
\(90\) −3.16309 1.06577i −0.333419 0.112342i
\(91\) 4.59557 + 5.41032i 0.481746 + 0.567156i
\(92\) −0.180453 0.0834867i −0.0188136 0.00870409i
\(93\) 2.62617 1.21499i 0.272321 0.125989i
\(94\) 7.00700 8.24928i 0.722717 0.850849i
\(95\) −2.25741 + 1.35824i −0.231605 + 0.139352i
\(96\) −0.222620 0.0242114i −0.0227211 0.00247107i
\(97\) −0.438334 + 2.67372i −0.0445061 + 0.271475i −0.999700 0.0245068i \(-0.992198\pi\)
0.955194 + 0.295982i \(0.0956468\pi\)
\(98\) 4.13543 + 3.91729i 0.417742 + 0.395706i
\(99\) 2.16796 0.730471i 0.217888 0.0734151i
\(100\) 0.0231703 + 0.0139411i 0.00231703 + 0.00139411i
\(101\) 12.2591 + 9.31916i 1.21983 + 0.927291i 0.998848 0.0479867i \(-0.0152805\pi\)
0.220983 + 0.975278i \(0.429074\pi\)
\(102\) 1.50176 3.76914i 0.148697 0.373201i
\(103\) 4.09784 6.04386i 0.403772 0.595519i −0.570389 0.821375i \(-0.693208\pi\)
0.974161 + 0.225856i \(0.0725179\pi\)
\(104\) −1.91542 11.6835i −0.187822 1.14566i
\(105\) −0.220982 4.07577i −0.0215656 0.397755i
\(106\) −6.34234 1.39605i −0.616023 0.135597i
\(107\) 0.117180 + 0.294099i 0.0113282 + 0.0284316i 0.934532 0.355879i \(-0.115818\pi\)
−0.923204 + 0.384311i \(0.874439\pi\)
\(108\) −0.0105920 + 0.0381488i −0.00101921 + 0.00367087i
\(109\) −0.766186 + 14.1315i −0.0733873 + 1.35355i 0.697503 + 0.716582i \(0.254294\pi\)
−0.770890 + 0.636968i \(0.780188\pi\)
\(110\) 7.59119 0.825592i 0.723792 0.0787171i
\(111\) 7.88181 5.99160i 0.748108 0.568697i
\(112\) 1.79528 + 6.46601i 0.169638 + 0.610980i
\(113\) 18.4186 4.05424i 1.73268 0.381391i 0.767104 0.641522i \(-0.221697\pi\)
0.965573 + 0.260131i \(0.0837658\pi\)
\(114\) −0.868349 1.28072i −0.0813283 0.119950i
\(115\) −8.69156 + 8.23309i −0.810492 + 0.767739i
\(116\) −0.0987374 + 0.186239i −0.00916754 + 0.0172918i
\(117\) −4.14588 −0.383286
\(118\) 10.2007 3.40719i 0.939054 0.313658i
\(119\) 4.96162 0.454831
\(120\) −3.18882 + 6.01475i −0.291098 + 0.549069i
\(121\) 4.18635 3.96553i 0.380578 0.360502i
\(122\) −9.81497 14.4760i −0.888606 1.31060i
\(123\) 3.63878 0.800957i 0.328098 0.0722199i
\(124\) −0.0306490 0.110388i −0.00275236 0.00991312i
\(125\) −8.19285 + 6.22805i −0.732791 + 0.557053i
\(126\) 2.38330 0.259200i 0.212321 0.0230913i
\(127\) −1.00323 + 18.5035i −0.0890225 + 1.64192i 0.523899 + 0.851780i \(0.324477\pi\)
−0.612922 + 0.790144i \(0.710006\pi\)
\(128\) 2.93376 10.5665i 0.259310 0.933952i
\(129\) 0.835041 + 2.09579i 0.0735212 + 0.184524i
\(130\) −13.5146 2.97479i −1.18531 0.260907i
\(131\) 0.619653 + 11.4288i 0.0541393 + 0.998541i 0.891823 + 0.452385i \(0.149427\pi\)
−0.837684 + 0.546156i \(0.816091\pi\)
\(132\) −0.0146534 0.0893819i −0.00127542 0.00777970i
\(133\) 1.06189 1.56617i 0.0920776 0.135804i
\(134\) −4.58235 + 11.5008i −0.395855 + 0.993520i
\(135\) 1.89781 + 1.44268i 0.163337 + 0.124166i
\(136\) −7.09071 4.26634i −0.608023 0.365835i
\(137\) 8.91212 3.00284i 0.761414 0.256550i 0.0883047 0.996094i \(-0.471855\pi\)
0.673109 + 0.739543i \(0.264959\pi\)
\(138\) −5.10485 4.83557i −0.434553 0.411631i
\(139\) −1.77805 + 10.8457i −0.150813 + 0.919916i 0.797672 + 0.603092i \(0.206065\pi\)
−0.948484 + 0.316824i \(0.897383\pi\)
\(140\) −0.160658 0.0174726i −0.0135780 0.00147670i
\(141\) −6.62375 + 3.98538i −0.557821 + 0.335630i
\(142\) −7.94847 + 9.35767i −0.667021 + 0.785278i
\(143\) 8.60797 3.98247i 0.719835 0.333031i
\(144\) −3.55701 1.64565i −0.296418 0.137137i
\(145\) 8.21679 + 9.67355i 0.682367 + 0.803344i
\(146\) 4.60707 + 1.55230i 0.381284 + 0.128470i
\(147\) −1.90563 3.59440i −0.157174 0.296461i
\(148\) −0.183609 0.346323i −0.0150926 0.0284676i
\(149\) 10.1911 + 3.43378i 0.834886 + 0.281306i 0.704097 0.710104i \(-0.251352\pi\)
0.130790 + 0.991410i \(0.458249\pi\)
\(150\) 0.619087 + 0.728846i 0.0505483 + 0.0595100i
\(151\) 11.7806 + 5.45029i 0.958692 + 0.443538i 0.835892 0.548894i \(-0.184951\pi\)
0.122799 + 0.992432i \(0.460813\pi\)
\(152\) −2.86426 + 1.32515i −0.232322 + 0.107484i
\(153\) −1.87598 + 2.20857i −0.151664 + 0.178553i
\(154\) −4.69940 + 2.82754i −0.378689 + 0.227849i
\(155\) −6.85764 0.745814i −0.550819 0.0599052i
\(156\) −0.0265555 + 0.161981i −0.00212614 + 0.0129689i
\(157\) −6.64463 6.29413i −0.530299 0.502326i 0.375044 0.927007i \(-0.377628\pi\)
−0.905343 + 0.424681i \(0.860386\pi\)
\(158\) −17.2502 + 5.81226i −1.37235 + 0.462398i
\(159\) 3.97428 + 2.39125i 0.315181 + 0.189638i
\(160\) 0.424982 + 0.323063i 0.0335977 + 0.0255403i
\(161\) 3.18272 7.98802i 0.250833 0.629545i
\(162\) −0.785744 + 1.15889i −0.0617339 + 0.0910506i
\(163\) −1.41716 8.64428i −0.111000 0.677072i −0.982441 0.186572i \(-0.940262\pi\)
0.871441 0.490500i \(-0.163186\pi\)
\(164\) −0.00798633 0.147299i −0.000623627 0.0115021i
\(165\) −5.32618 1.17238i −0.414643 0.0912698i
\(166\) −9.00698 22.6058i −0.699077 1.75455i
\(167\) 2.79465 10.0654i 0.216257 0.778887i −0.773213 0.634147i \(-0.781352\pi\)
0.989470 0.144740i \(-0.0462346\pi\)
\(168\) 0.264719 4.88245i 0.0204235 0.376690i
\(169\) −4.16375 + 0.452835i −0.320288 + 0.0348334i
\(170\) −7.69999 + 5.85338i −0.590562 + 0.448934i
\(171\) 0.295654 + 1.06485i 0.0226092 + 0.0814309i
\(172\) 0.0872322 0.0192013i 0.00665139 0.00146408i
\(173\) −5.81422 8.57533i −0.442047 0.651970i 0.539768 0.841814i \(-0.318512\pi\)
−0.981814 + 0.189844i \(0.939202\pi\)
\(174\) −5.41199 + 5.12651i −0.410282 + 0.388640i
\(175\) −0.547771 + 1.03321i −0.0414076 + 0.0781030i
\(176\) 8.96612 0.675847
\(177\) −7.68112 0.0201935i −0.577348 0.00151784i
\(178\) 1.09638 0.0821774
\(179\) −2.91165 + 5.49195i −0.217627 + 0.410488i −0.968155 0.250350i \(-0.919454\pi\)
0.750529 + 0.660838i \(0.229799\pi\)
\(180\) 0.0685219 0.0649074i 0.00510732 0.00483791i
\(181\) 9.39115 + 13.8509i 0.698038 + 1.02953i 0.997160 + 0.0753146i \(0.0239961\pi\)
−0.299121 + 0.954215i \(0.596694\pi\)
\(182\) 9.70677 2.13662i 0.719513 0.158377i
\(183\) 3.34178 + 12.0360i 0.247031 + 0.889727i
\(184\) −11.4171 + 8.67905i −0.841680 + 0.639828i
\(185\) −23.4637 + 2.55184i −1.72509 + 0.187615i
\(186\) 0.219342 4.04553i 0.0160830 0.296633i
\(187\) 1.77352 6.38764i 0.129693 0.467111i
\(188\) 0.113283 + 0.284320i 0.00826205 + 0.0207362i
\(189\) −1.67219 0.368076i −0.121634 0.0267736i
\(190\) 0.199703 + 3.68330i 0.0144880 + 0.267215i
\(191\) 2.32159 + 14.1611i 0.167985 + 1.02466i 0.927405 + 0.374060i \(0.122035\pi\)
−0.759420 + 0.650601i \(0.774517\pi\)
\(192\) −4.57482 + 6.74735i −0.330159 + 0.486948i
\(193\) −3.54190 + 8.88950i −0.254952 + 0.639881i −0.999620 0.0275539i \(-0.991228\pi\)
0.744669 + 0.667434i \(0.232608\pi\)
\(194\) 3.02003 + 2.29577i 0.216826 + 0.164827i
\(195\) 8.46863 + 5.09541i 0.606451 + 0.364890i
\(196\) −0.152641 + 0.0514307i −0.0109029 + 0.00367362i
\(197\) −13.5737 12.8577i −0.967085 0.916072i 0.0294228 0.999567i \(-0.490633\pi\)
−0.996508 + 0.0834951i \(0.973392\pi\)
\(198\) 0.518209 3.16094i 0.0368275 0.224638i
\(199\) −10.8835 1.18365i −0.771511 0.0839069i −0.286108 0.958197i \(-0.592362\pi\)
−0.485403 + 0.874291i \(0.661327\pi\)
\(200\) 1.67125 1.00556i 0.118175 0.0711035i
\(201\) 5.72420 6.73905i 0.403754 0.475336i
\(202\) 19.5683 9.05324i 1.37682 0.636984i
\(203\) −8.27355 3.82775i −0.580689 0.268655i
\(204\) 0.0742737 + 0.0874418i 0.00520020 + 0.00612215i
\(205\) −8.41721 2.83609i −0.587884 0.198081i
\(206\) −4.78900 9.03301i −0.333665 0.629360i
\(207\) 2.35234 + 4.43699i 0.163499 + 0.308392i
\(208\) −15.3982 5.18824i −1.06767 0.359740i
\(209\) −1.63674 1.92691i −0.113215 0.133287i
\(210\) −5.18685 2.39969i −0.357927 0.165594i
\(211\) −22.1300 + 10.2384i −1.52349 + 0.704842i −0.990014 0.140971i \(-0.954977\pi\)
−0.533478 + 0.845814i \(0.679115\pi\)
\(212\) 0.118883 0.139960i 0.00816494 0.00961251i
\(213\) 7.51373 4.52086i 0.514832 0.309764i
\(214\) 0.440665 + 0.0479252i 0.0301233 + 0.00327610i
\(215\) 0.870087 5.30729i 0.0593394 0.361954i
\(216\) 2.07324 + 1.96388i 0.141066 + 0.133625i
\(217\) 4.69514 1.58198i 0.318727 0.107392i
\(218\) 16.9788 + 10.2158i 1.14995 + 0.691901i
\(219\) −2.76418 2.10127i −0.186786 0.141991i
\(220\) −0.0799210 + 0.200587i −0.00538828 + 0.0135236i
\(221\) −6.74200 + 9.94371i −0.453516 + 0.668886i
\(222\) −2.24267 13.6797i −0.150518 0.918120i
\(223\) −1.06471 19.6374i −0.0712980 1.31501i −0.787149 0.616762i \(-0.788444\pi\)
0.715851 0.698253i \(-0.246039\pi\)
\(224\) −0.374458 0.0824244i −0.0250195 0.00550721i
\(225\) −0.252801 0.634483i −0.0168534 0.0422989i
\(226\) 7.06438 25.4436i 0.469916 1.69248i
\(227\) −0.676956 + 12.4857i −0.0449311 + 0.828706i 0.886039 + 0.463611i \(0.153446\pi\)
−0.930970 + 0.365095i \(0.881036\pi\)
\(228\) 0.0434978 0.00473067i 0.00288071 0.000313296i
\(229\) 22.9269 17.4286i 1.51505 1.15171i 0.571444 0.820641i \(-0.306383\pi\)
0.943606 0.331070i \(-0.107410\pi\)
\(230\) 4.48443 + 16.1514i 0.295694 + 1.06499i
\(231\) 3.82549 0.842053i 0.251699 0.0554030i
\(232\) 8.53246 + 12.5844i 0.560183 + 0.826209i
\(233\) −2.81047 + 2.66222i −0.184120 + 0.174408i −0.774208 0.632931i \(-0.781852\pi\)
0.590088 + 0.807339i \(0.299093\pi\)
\(234\) −2.71903 + 5.12864i −0.177749 + 0.335270i
\(235\) 18.4283 1.20213
\(236\) −0.0499886 + 0.299975i −0.00325398 + 0.0195267i
\(237\) 13.0008 0.844493
\(238\) 3.25403 6.13775i 0.210928 0.397852i
\(239\) 1.59222 1.50823i 0.102992 0.0975592i −0.634471 0.772946i \(-0.718782\pi\)
0.737463 + 0.675387i \(0.236023\pi\)
\(240\) 5.24323 + 7.73319i 0.338449 + 0.499175i
\(241\) 25.8579 5.69175i 1.66565 0.366638i 0.720547 0.693406i \(-0.243891\pi\)
0.945105 + 0.326768i \(0.105960\pi\)
\(242\) −2.15996 7.77946i −0.138847 0.500083i
\(243\) 0.796093 0.605174i 0.0510694 0.0388219i
\(244\) 0.491656 0.0534709i 0.0314751 0.00342312i
\(245\) −0.525064 + 9.68423i −0.0335451 + 0.618703i
\(246\) 1.39564 5.02664i 0.0889828 0.320487i
\(247\) 1.69587 + 4.25632i 0.107906 + 0.270823i
\(248\) −8.07016 1.77638i −0.512456 0.112800i
\(249\) 0.940918 + 17.3542i 0.0596283 + 1.09978i
\(250\) 2.33117 + 14.2195i 0.147436 + 0.899322i
\(251\) −3.78710 + 5.58555i −0.239039 + 0.352557i −0.928219 0.372034i \(-0.878661\pi\)
0.689180 + 0.724590i \(0.257971\pi\)
\(252\) −0.0250917 + 0.0629754i −0.00158063 + 0.00396708i
\(253\) −9.14621 6.95277i −0.575017 0.437117i
\(254\) 22.2318 + 13.3764i 1.39494 + 0.839310i
\(255\) 6.54640 2.20574i 0.409952 0.138129i
\(256\) 0.689574 + 0.653199i 0.0430984 + 0.0408250i
\(257\) 0.0481822 0.293898i 0.00300552 0.0183329i −0.985281 0.170941i \(-0.945319\pi\)
0.988287 + 0.152609i \(0.0487674\pi\)
\(258\) 3.14025 + 0.341522i 0.195503 + 0.0212623i
\(259\) 14.5255 8.73967i 0.902568 0.543057i
\(260\) 0.253324 0.298236i 0.0157105 0.0184958i
\(261\) 4.83206 2.23555i 0.299097 0.138377i
\(262\) 14.5444 + 6.72894i 0.898554 + 0.415715i
\(263\) 4.79419 + 5.64415i 0.295622 + 0.348033i 0.889842 0.456270i \(-0.150815\pi\)
−0.594219 + 0.804303i \(0.702539\pi\)
\(264\) −6.19110 2.08602i −0.381036 0.128386i
\(265\) −5.17921 9.76903i −0.318156 0.600107i
\(266\) −1.24100 2.34077i −0.0760903 0.143522i
\(267\) −0.742059 0.250029i −0.0454133 0.0153015i
\(268\) −0.226632 0.266812i −0.0138438 0.0162981i
\(269\) −25.9639 12.0122i −1.58305 0.732395i −0.586081 0.810253i \(-0.699330\pi\)
−0.996964 + 0.0778578i \(0.975192\pi\)
\(270\) 3.02932 1.40151i 0.184358 0.0852932i
\(271\) 18.8640 22.2084i 1.14590 1.34906i 0.218130 0.975920i \(-0.430004\pi\)
0.927774 0.373143i \(-0.121720\pi\)
\(272\) −9.73141 + 5.85520i −0.590054 + 0.355023i
\(273\) −7.05703 0.767499i −0.427111 0.0464511i
\(274\) 2.13027 12.9941i 0.128694 0.785001i
\(275\) 1.13436 + 1.07452i 0.0684045 + 0.0647962i
\(276\) 0.188422 0.0634868i 0.0113417 0.00382146i
\(277\) 2.76509 + 1.66370i 0.166138 + 0.0999619i 0.596194 0.802840i \(-0.296679\pi\)
−0.430056 + 0.902802i \(0.641506\pi\)
\(278\) 12.2504 + 9.31255i 0.734733 + 0.558529i
\(279\) −1.07104 + 2.68810i −0.0641212 + 0.160932i
\(280\) −6.54142 + 9.64787i −0.390924 + 0.576570i
\(281\) −2.26039 13.7878i −0.134844 0.822509i −0.964470 0.264191i \(-0.914895\pi\)
0.829627 0.558318i \(-0.188553\pi\)
\(282\) 0.585974 + 10.8077i 0.0348942 + 0.643587i
\(283\) −10.9289 2.40563i −0.649655 0.143000i −0.122096 0.992518i \(-0.538962\pi\)
−0.527559 + 0.849519i \(0.676893\pi\)
\(284\) −0.128504 0.322522i −0.00762533 0.0191381i
\(285\) 0.704809 2.53849i 0.0417493 0.150367i
\(286\) 0.718954 13.2603i 0.0425126 0.784099i
\(287\) 6.34215 0.689750i 0.374365 0.0407146i
\(288\) 0.178271 0.135518i 0.0105047 0.00798550i
\(289\) −2.30152 8.28932i −0.135383 0.487607i
\(290\) 17.3555 3.82024i 1.01915 0.224332i
\(291\) −1.52049 2.24255i −0.0891325 0.131461i
\(292\) −0.0998029 + 0.0945384i −0.00584053 + 0.00553244i
\(293\) −5.38655 + 10.1601i −0.314685 + 0.593560i −0.989518 0.144412i \(-0.953871\pi\)
0.674832 + 0.737971i \(0.264216\pi\)
\(294\) −5.69623 −0.332211
\(295\) 15.6651 + 9.48158i 0.912059 + 0.552039i
\(296\) −28.2734 −1.64336
\(297\) −1.07158 + 2.02122i −0.0621796 + 0.117283i
\(298\) 10.9315 10.3548i 0.633242 0.599839i
\(299\) 11.6842 + 17.2329i 0.675716 + 0.996606i
\(300\) −0.0264088 + 0.00581301i −0.00152471 + 0.000335614i
\(301\) 1.03341 + 3.72201i 0.0595648 + 0.214533i
\(302\) 14.4684 10.9986i 0.832565 0.632900i
\(303\) −15.3089 + 1.66494i −0.879471 + 0.0956483i
\(304\) −0.234491 + 4.32493i −0.0134490 + 0.248052i
\(305\) 7.96648 28.6927i 0.456159 1.64294i
\(306\) 1.50176 + 3.76914i 0.0858502 + 0.215468i
\(307\) −21.7881 4.79592i −1.24351 0.273718i −0.455979 0.889990i \(-0.650711\pi\)
−0.787533 + 0.616273i \(0.788642\pi\)
\(308\) −0.00839610 0.154857i −0.000478412 0.00882379i
\(309\) 1.18135 + 7.20589i 0.0672044 + 0.409929i
\(310\) −5.42012 + 7.99408i −0.307842 + 0.454034i
\(311\) 0.914478 2.29517i 0.0518553 0.130147i −0.900767 0.434302i \(-0.856995\pi\)
0.952622 + 0.304155i \(0.0983742\pi\)
\(312\) 9.42534 + 7.16495i 0.533605 + 0.405636i
\(313\) 9.35011 + 5.62577i 0.528499 + 0.317988i 0.754675 0.656099i \(-0.227795\pi\)
−0.226175 + 0.974087i \(0.572622\pi\)
\(314\) −12.1439 + 4.09177i −0.685322 + 0.230912i
\(315\) 2.96334 + 2.80702i 0.166965 + 0.158158i
\(316\) 0.0832737 0.507947i 0.00468451 0.0285742i
\(317\) 1.58790 + 0.172695i 0.0891854 + 0.00969949i 0.152603 0.988288i \(-0.451234\pi\)
−0.0634175 + 0.997987i \(0.520200\pi\)
\(318\) 5.56458 3.34809i 0.312046 0.187752i
\(319\) −7.88524 + 9.28323i −0.441489 + 0.519761i
\(320\) 17.6375 8.15998i 0.985967 0.456157i
\(321\) −0.287324 0.132930i −0.0160369 0.00741944i
\(322\) −7.79420 9.17604i −0.434354 0.511361i
\(323\) 3.03478 + 1.02254i 0.168860 + 0.0568955i
\(324\) −0.0185452 0.0349800i −0.00103029 0.00194333i
\(325\) −1.32634 2.50175i −0.0735724 0.138772i
\(326\) −11.6228 3.91618i −0.643727 0.216897i
\(327\) −9.16196 10.7863i −0.506657 0.596483i
\(328\) −9.65672 4.46767i −0.533203 0.246686i
\(329\) −12.0126 + 5.55763i −0.662277 + 0.306402i
\(330\) −4.94341 + 5.81984i −0.272126 + 0.320371i
\(331\) −10.7754 + 6.48334i −0.592269 + 0.356357i −0.779920 0.625879i \(-0.784740\pi\)
0.187651 + 0.982236i \(0.439913\pi\)
\(332\) 0.684063 + 0.0743963i 0.0375428 + 0.00408303i
\(333\) −1.60174 + 9.77019i −0.0877749 + 0.535403i
\(334\) −10.6186 10.0584i −0.581021 0.550373i
\(335\) −19.9751 + 6.73040i −1.09136 + 0.367721i
\(336\) −5.75003 3.45968i −0.313690 0.188741i
\(337\) 17.7400 + 13.4856i 0.966358 + 0.734606i 0.964141 0.265391i \(-0.0855011\pi\)
0.00221723 + 0.999998i \(0.499294\pi\)
\(338\) −2.17057 + 5.44773i −0.118064 + 0.296317i
\(339\) −10.5837 + 15.6098i −0.574829 + 0.847810i
\(340\) −0.0442477 0.269899i −0.00239967 0.0146373i
\(341\) −0.358386 6.61004i −0.0194077 0.357954i
\(342\) 1.51117 + 0.332633i 0.0817145 + 0.0179867i
\(343\) −7.01462 17.6054i −0.378754 0.950601i
\(344\) 1.72357 6.20776i 0.0929289 0.334700i
\(345\) 0.648147 11.9544i 0.0348951 0.643602i
\(346\) −14.4213 + 1.56841i −0.775292 + 0.0843181i
\(347\) 18.4226 14.0045i 0.988976 0.751800i 0.0202148 0.999796i \(-0.493565\pi\)
0.968761 + 0.247996i \(0.0797719\pi\)
\(348\) −0.0563932 0.203110i −0.00302299 0.0108878i
\(349\) −6.76264 + 1.48857i −0.361996 + 0.0796813i −0.392244 0.919861i \(-0.628301\pi\)
0.0302484 + 0.999542i \(0.490370\pi\)
\(350\) 0.918872 + 1.35524i 0.0491158 + 0.0724404i
\(351\) 3.00989 2.85112i 0.160656 0.152181i
\(352\) −0.239963 + 0.452618i −0.0127901 + 0.0241246i
\(353\) −16.4594 −0.876046 −0.438023 0.898964i \(-0.644321\pi\)
−0.438023 + 0.898964i \(0.644321\pi\)
\(354\) −5.06257 + 9.48865i −0.269072 + 0.504316i
\(355\) −20.9043 −1.10948
\(356\) −0.0145218 + 0.0273911i −0.000769655 + 0.00145172i
\(357\) −3.60212 + 3.41211i −0.190644 + 0.180588i
\(358\) 4.88422 + 7.20368i 0.258139 + 0.380726i
\(359\) −6.61869 + 1.45688i −0.349321 + 0.0768914i −0.386165 0.922430i \(-0.626201\pi\)
0.0368441 + 0.999321i \(0.488270\pi\)
\(360\) −1.82127 6.55963i −0.0959895 0.345723i
\(361\) −14.1535 + 10.7592i −0.744921 + 0.566274i
\(362\) 23.2933 2.53330i 1.22427 0.133147i
\(363\) −0.312185 + 5.75791i −0.0163854 + 0.302212i
\(364\) −0.0751887 + 0.270805i −0.00394096 + 0.0141940i
\(365\) 3.06376 + 7.68946i 0.160365 + 0.402485i
\(366\) 17.0808 + 3.75976i 0.892825 + 0.196526i
\(367\) −1.48058 27.3077i −0.0772857 1.42545i −0.737993 0.674808i \(-0.764226\pi\)
0.660708 0.750643i \(-0.270256\pi\)
\(368\) 3.18426 + 19.4231i 0.165991 + 1.01250i
\(369\) −2.09092 + 3.08388i −0.108849 + 0.160540i
\(370\) −12.2317 + 30.6993i −0.635897 + 1.59598i
\(371\) 6.32228 + 4.80607i 0.328236 + 0.249519i
\(372\) 0.0981647 + 0.0590637i 0.00508960 + 0.00306231i
\(373\) 18.0246 6.07320i 0.933279 0.314458i 0.188732 0.982029i \(-0.439562\pi\)
0.744547 + 0.667570i \(0.232666\pi\)
\(374\) −6.73866 6.38320i −0.348448 0.330067i
\(375\) 1.66495 10.1558i 0.0859777 0.524441i
\(376\) 21.9462 + 2.38679i 1.13179 + 0.123089i
\(377\) 18.9136 11.3800i 0.974101 0.586097i
\(378\) −1.55201 + 1.82717i −0.0798270 + 0.0939796i
\(379\) −17.5036 + 8.09804i −0.899101 + 0.415968i −0.814310 0.580431i \(-0.802884\pi\)
−0.0847908 + 0.996399i \(0.527022\pi\)
\(380\) −0.0946655 0.0437969i −0.00485624 0.00224673i
\(381\) −11.9965 14.1234i −0.614601 0.723564i
\(382\) 19.0405 + 6.41550i 0.974197 + 0.328245i
\(383\) −2.94442 5.55377i −0.150453 0.283785i 0.796817 0.604221i \(-0.206515\pi\)
−0.947270 + 0.320436i \(0.896171\pi\)
\(384\) 5.13665 + 9.68875i 0.262128 + 0.494427i
\(385\) −8.84909 2.98161i −0.450992 0.151957i
\(386\) 8.67380 + 10.2116i 0.441485 + 0.519756i
\(387\) −2.04751 0.947280i −0.104081 0.0481530i
\(388\) −0.0973564 + 0.0450419i −0.00494252 + 0.00228666i
\(389\) −0.370781 + 0.436517i −0.0187994 + 0.0221323i −0.771481 0.636252i \(-0.780484\pi\)
0.752682 + 0.658384i \(0.228760\pi\)
\(390\) 11.8573 7.13431i 0.600419 0.361260i
\(391\) 14.4673 + 1.57341i 0.731642 + 0.0795708i
\(392\) −1.87958 + 11.4649i −0.0949331 + 0.579066i
\(393\) −8.30946 7.87114i −0.419157 0.397046i
\(394\) −24.8077 + 8.35869i −1.24979 + 0.421105i
\(395\) −26.5563 15.9784i −1.33619 0.803960i
\(396\) 0.0721062 + 0.0548137i 0.00362347 + 0.00275449i
\(397\) −6.20244 + 15.5670i −0.311292 + 0.781283i 0.687205 + 0.726464i \(0.258838\pi\)
−0.998496 + 0.0548192i \(0.982542\pi\)
\(398\) −8.60207 + 12.6871i −0.431183 + 0.635947i
\(399\) 0.306128 + 1.86730i 0.0153256 + 0.0934817i
\(400\) −0.144920 2.67289i −0.00724599 0.133644i
\(401\) 17.0686 + 3.75709i 0.852367 + 0.187620i 0.619605 0.784914i \(-0.287293\pi\)
0.232762 + 0.972534i \(0.425224\pi\)
\(402\) −4.58235 11.5008i −0.228547 0.573609i
\(403\) −3.20942 + 11.5593i −0.159872 + 0.575808i
\(404\) −0.0330075 + 0.608788i −0.00164219 + 0.0302883i
\(405\) −2.36993 + 0.257745i −0.117763 + 0.0128075i
\(406\) −10.1612 + 7.72436i −0.504293 + 0.383354i
\(407\) −6.05946 21.8242i −0.300356 1.08178i
\(408\) 8.08178 1.77893i 0.400108 0.0880704i
\(409\) 11.9735 + 17.6597i 0.592054 + 0.873214i 0.999194 0.0401521i \(-0.0127842\pi\)
−0.407140 + 0.913366i \(0.633474\pi\)
\(410\) −9.02872 + 8.55246i −0.445897 + 0.422376i
\(411\) −4.40510 + 8.30891i −0.217288 + 0.409848i
\(412\) 0.289104 0.0142431
\(413\) −13.0709 1.45633i −0.643178 0.0716612i
\(414\) 7.03151 0.345580
\(415\) 19.4069 36.6052i 0.952646 1.79688i
\(416\) 0.674013 0.638459i 0.0330462 0.0313030i
\(417\) −6.16769 9.09666i −0.302033 0.445465i
\(418\) −3.45712 + 0.760969i −0.169093 + 0.0372202i
\(419\) 1.29001 + 4.64620i 0.0630212 + 0.226982i 0.988354 0.152175i \(-0.0486278\pi\)
−0.925332 + 0.379157i \(0.876214\pi\)
\(420\) 0.128653 0.0977992i 0.00627760 0.00477211i
\(421\) 12.6165 1.37213i 0.614892 0.0668735i 0.204627 0.978840i \(-0.434402\pi\)
0.410265 + 0.911966i \(0.365436\pi\)
\(422\) −1.84834 + 34.0906i −0.0899757 + 1.65950i
\(423\) 2.06807 7.44852i 0.100553 0.362159i
\(424\) −4.90265 12.3047i −0.238094 0.597570i
\(425\) −1.93288 0.425460i −0.0937587 0.0206378i
\(426\) −0.664706 12.2598i −0.0322051 0.593989i
\(427\) 3.46017 + 21.1061i 0.167449 + 1.02140i
\(428\) −0.00703402 + 0.0103744i −0.000340002 + 0.000501466i
\(429\) −3.51061 + 8.81096i −0.169494 + 0.425397i
\(430\) −5.99473 4.55707i −0.289091 0.219762i
\(431\) 24.2220 + 14.5739i 1.16673 + 0.702001i 0.960984 0.276603i \(-0.0892088\pi\)
0.205751 + 0.978604i \(0.434036\pi\)
\(432\) 3.71409 1.25142i 0.178694 0.0602091i
\(433\) −12.9823 12.2974i −0.623888 0.590978i 0.309037 0.951050i \(-0.399993\pi\)
−0.932924 + 0.360072i \(0.882752\pi\)
\(434\) 1.12228 6.84562i 0.0538713 0.328600i
\(435\) −12.6178 1.37227i −0.604979 0.0657955i
\(436\) −0.480110 + 0.288872i −0.0229931 + 0.0138345i
\(437\) 3.59296 4.22996i 0.171875 0.202346i
\(438\) −4.41223 + 2.04132i −0.210825 + 0.0975378i
\(439\) −29.3160 13.5630i −1.39918 0.647329i −0.432104 0.901824i \(-0.642229\pi\)
−0.967074 + 0.254495i \(0.918091\pi\)
\(440\) 10.0825 + 11.8701i 0.480667 + 0.565884i
\(441\) 3.85535 + 1.29902i 0.183588 + 0.0618580i
\(442\) 7.87914 + 14.8616i 0.374773 + 0.706896i
\(443\) 8.16714 + 15.4049i 0.388032 + 0.731907i 0.998175 0.0603848i \(-0.0192328\pi\)
−0.610143 + 0.792291i \(0.708888\pi\)
\(444\) 0.371466 + 0.125161i 0.0176290 + 0.00593989i
\(445\) 1.20848 + 1.42274i 0.0572877 + 0.0674443i
\(446\) −24.9906 11.5619i −1.18334 0.547471i
\(447\) −9.76009 + 4.51550i −0.461636 + 0.213576i
\(448\) −9.03626 + 10.6383i −0.426923 + 0.502613i
\(449\) −11.0018 + 6.61954i −0.519205 + 0.312395i −0.750925 0.660387i \(-0.770392\pi\)
0.231720 + 0.972782i \(0.425565\pi\)
\(450\) −0.950682 0.103393i −0.0448156 0.00487399i
\(451\) 1.37899 8.41149i 0.0649343 0.396082i
\(452\) 0.542091 + 0.513496i 0.0254978 + 0.0241528i
\(453\) −12.3008 + 4.14463i −0.577943 + 0.194732i
\(454\) 15.0014 + 9.02605i 0.704051 + 0.423614i
\(455\) 13.4719 + 10.2410i 0.631571 + 0.480108i
\(456\) 1.16814 2.93180i 0.0547030 0.137294i
\(457\) −20.8107 + 30.6935i −0.973483 + 1.43578i −0.0747918 + 0.997199i \(0.523829\pi\)
−0.898692 + 0.438581i \(0.855481\pi\)
\(458\) −6.52356 39.7919i −0.304826 1.85935i
\(459\) −0.156882 2.89353i −0.00732264 0.135058i
\(460\) −0.462910 0.101894i −0.0215833 0.00475085i
\(461\) 8.60746 + 21.6031i 0.400889 + 1.00616i 0.981412 + 0.191912i \(0.0614689\pi\)
−0.580523 + 0.814244i \(0.697152\pi\)
\(462\) 1.46725 5.28455i 0.0682626 0.245860i
\(463\) −0.318232 + 5.86944i −0.0147895 + 0.272776i 0.981780 + 0.190020i \(0.0608551\pi\)
−0.996570 + 0.0827565i \(0.973628\pi\)
\(464\) 20.7443 2.25608i 0.963031 0.104736i
\(465\) 5.49151 4.17454i 0.254663 0.193590i
\(466\) 1.45007 + 5.22267i 0.0671731 + 0.241936i
\(467\) −16.1589 + 3.55684i −0.747744 + 0.164591i −0.572466 0.819928i \(-0.694013\pi\)
−0.175278 + 0.984519i \(0.556082\pi\)
\(468\) −0.0921152 0.135860i −0.00425803 0.00628012i
\(469\) 10.9912 10.4114i 0.507525 0.480753i
\(470\) 12.0860 22.7966i 0.557485 1.05153i
\(471\) 9.15244 0.421722
\(472\) 17.4275 + 13.3205i 0.802168 + 0.613126i
\(473\) 5.16114 0.237309
\(474\) 8.52645 16.0826i 0.391633 0.738698i
\(475\) −0.547977 + 0.519072i −0.0251429 + 0.0238166i
\(476\) 0.110240 + 0.162592i 0.00505283 + 0.00745237i
\(477\) −4.52977 + 0.997078i −0.207404 + 0.0456531i
\(478\) −0.821508 2.95880i −0.0375749 0.135332i
\(479\) 27.7991 21.1323i 1.27017 0.965561i 0.270178 0.962810i \(-0.412918\pi\)
0.999996 0.00275063i \(-0.000875554\pi\)
\(480\) −0.530705 + 0.0577176i −0.0242232 + 0.00263444i
\(481\) −2.22222 + 40.9865i −0.101325 + 1.86882i
\(482\) 9.91768 35.7202i 0.451738 1.62701i
\(483\) 3.18272 + 7.98802i 0.144819 + 0.363468i
\(484\) 0.222964 + 0.0490781i 0.0101347 + 0.00223082i
\(485\) 0.349682 + 6.44950i 0.0158782 + 0.292857i
\(486\) −0.226518 1.38170i −0.0102751 0.0626752i
\(487\) 16.1872 23.8744i 0.733513 1.08185i −0.259717 0.965685i \(-0.583629\pi\)
0.993230 0.116166i \(-0.0370604\pi\)
\(488\) 13.2035 33.1382i 0.597693 1.50010i
\(489\) 6.97352 + 5.30113i 0.315353 + 0.239725i
\(490\) 11.6355 + 7.00083i 0.525637 + 0.316265i
\(491\) −17.2765 + 5.82114i −0.779679 + 0.262704i −0.680872 0.732402i \(-0.738399\pi\)
−0.0988067 + 0.995107i \(0.531503\pi\)
\(492\) 0.107096 + 0.101446i 0.00482824 + 0.00457355i
\(493\) 2.49600 15.2249i 0.112414 0.685697i
\(494\) 6.37749 + 0.693594i 0.286937 + 0.0312062i
\(495\) 4.67303 2.81167i 0.210037 0.126375i
\(496\) −7.34186 + 8.64351i −0.329659 + 0.388105i
\(497\) 13.6266 6.30436i 0.611238 0.282789i
\(498\) 22.0850 + 10.2176i 0.989654 + 0.457863i
\(499\) −17.0104 20.0262i −0.761491 0.896497i 0.235667 0.971834i \(-0.424273\pi\)
−0.997158 + 0.0753371i \(0.975997\pi\)
\(500\) −0.386125 0.130101i −0.0172680 0.00581828i
\(501\) 4.89309 + 9.22934i 0.218607 + 0.412337i
\(502\) 4.42585 + 8.34804i 0.197535 + 0.372591i
\(503\) 20.9797 + 7.06888i 0.935438 + 0.315186i 0.745420 0.666595i \(-0.232249\pi\)
0.190018 + 0.981781i \(0.439145\pi\)
\(504\) 3.16548 + 3.72669i 0.141002 + 0.166000i
\(505\) 33.3171 + 15.4141i 1.48259 + 0.685920i
\(506\) −14.5993 + 6.75437i −0.649020 + 0.300269i
\(507\) 2.71145 3.19216i 0.120420 0.141769i
\(508\) −0.628648 + 0.378245i −0.0278918 + 0.0167819i
\(509\) −40.6966 4.42602i −1.80385 0.196180i −0.856447 0.516235i \(-0.827333\pi\)
−0.947399 + 0.320055i \(0.896299\pi\)
\(510\) 1.56479 9.54481i 0.0692902 0.422651i
\(511\) −4.31614 4.08846i −0.190935 0.180863i
\(512\) 22.0445 7.42767i 0.974240 0.328260i
\(513\) −0.946938 0.569754i −0.0418084 0.0251552i
\(514\) −0.331966 0.252354i −0.0146424 0.0111308i
\(515\) 6.44317 16.1711i 0.283920 0.712585i
\(516\) −0.0501255 + 0.0739296i −0.00220665 + 0.00325457i
\(517\) 2.86106 + 17.4517i 0.125829 + 0.767526i
\(518\) −1.28500 23.7005i −0.0564598 1.04134i
\(519\) 10.1183 + 2.22722i 0.444146 + 0.0977639i
\(520\) −10.4468 26.2196i −0.458125 1.14981i
\(521\) 10.1814 36.6701i 0.446056 1.60655i −0.309119 0.951023i \(-0.600034\pi\)
0.755174 0.655524i \(-0.227552\pi\)
\(522\) 0.403583 7.44365i 0.0176643 0.325800i
\(523\) 1.74038 0.189277i 0.0761014 0.00827652i −0.0699891 0.997548i \(-0.522296\pi\)
0.146090 + 0.989271i \(0.453331\pi\)
\(524\) −0.360753 + 0.274237i −0.0157596 + 0.0119801i
\(525\) −0.312856 1.12680i −0.0136541 0.0491778i
\(526\) 10.1263 2.22897i 0.441527 0.0971875i
\(527\) 4.70557 + 6.94020i 0.204978 + 0.302320i
\(528\) −6.50936 + 6.16600i −0.283284 + 0.268341i
\(529\) 1.04003 1.96170i 0.0452186 0.0852913i
\(530\) −15.4815 −0.672472
\(531\) 5.59034 5.26764i 0.242600 0.228596i
\(532\) 0.0749168 0.00324806
\(533\) −7.23555 + 13.6477i −0.313406 + 0.591147i
\(534\) −0.795969 + 0.753982i −0.0344450 + 0.0326280i
\(535\) 0.423531 + 0.624661i 0.0183108 + 0.0270065i
\(536\) −24.6600 + 5.42808i −1.06515 + 0.234457i
\(537\) −1.66297 5.98947i −0.0717624 0.258465i
\(538\) −31.8877 + 24.2404i −1.37478 + 1.04508i
\(539\) −9.25257 + 1.00628i −0.398536 + 0.0433434i
\(540\) −0.00510981 + 0.0942450i −0.000219891 + 0.00405566i
\(541\) 2.52361 9.08920i 0.108498 0.390775i −0.889283 0.457358i \(-0.848796\pi\)
0.997781 + 0.0665826i \(0.0212096\pi\)
\(542\) −15.1010 37.9007i −0.648645 1.62798i
\(543\) −16.3432 3.59741i −0.701353 0.154380i
\(544\) −0.0351311 0.647955i −0.00150623 0.0277809i
\(545\) 5.45813 + 33.2931i 0.233800 + 1.42612i
\(546\) −5.57772 + 8.22652i −0.238704 + 0.352062i
\(547\) −9.08155 + 22.7930i −0.388299 + 0.974557i 0.596773 + 0.802410i \(0.296449\pi\)
−0.985071 + 0.172146i \(0.944930\pi\)
\(548\) 0.296417 + 0.225330i 0.0126623 + 0.00962562i
\(549\) −10.7033 6.43994i −0.456804 0.274850i
\(550\) 2.07319 0.698540i 0.0884012 0.0297858i
\(551\) −4.27166 4.04634i −0.181979 0.172380i
\(552\) 2.32018 14.1525i 0.0987535 0.602370i
\(553\) 22.1297 + 2.40675i 0.941052 + 0.102346i
\(554\) 3.87152 2.32942i 0.164485 0.0989675i
\(555\) 15.2797 17.9886i 0.648586 0.763575i
\(556\) −0.394916 + 0.182708i −0.0167482 + 0.00774853i
\(557\) 9.39288 + 4.34561i 0.397989 + 0.184129i 0.608666 0.793426i \(-0.291705\pi\)
−0.210677 + 0.977556i \(0.567567\pi\)
\(558\) 2.62287 + 3.08788i 0.111035 + 0.130720i
\(559\) −8.86359 2.98649i −0.374890 0.126315i
\(560\) 7.49333 + 14.1339i 0.316651 + 0.597267i
\(561\) 3.10521 + 5.85705i 0.131102 + 0.247285i
\(562\) −18.5385 6.24636i −0.782001 0.263487i
\(563\) −14.3134 16.8510i −0.603237 0.710185i 0.372770 0.927924i \(-0.378408\pi\)
−0.976007 + 0.217738i \(0.930132\pi\)
\(564\) −0.277770 0.128510i −0.0116962 0.00541125i
\(565\) 40.8040 18.8779i 1.71664 0.794200i
\(566\) −10.1435 + 11.9418i −0.426362 + 0.501952i
\(567\) 1.46713 0.882741i 0.0616135 0.0370716i
\(568\) −24.8949 2.70748i −1.04457 0.113603i
\(569\) 1.77925 10.8530i 0.0745901 0.454980i −0.922952 0.384914i \(-0.874231\pi\)
0.997542 0.0700653i \(-0.0223208\pi\)
\(570\) −2.67799 2.53673i −0.112169 0.106252i
\(571\) 4.16619 1.40375i 0.174349 0.0587452i −0.230773 0.973008i \(-0.574125\pi\)
0.405122 + 0.914262i \(0.367229\pi\)
\(572\) 0.321761 + 0.193597i 0.0134535 + 0.00809471i
\(573\) −11.4240 8.68433i −0.477246 0.362793i
\(574\) 3.30618 8.29789i 0.137997 0.346347i
\(575\) −1.92486 + 2.83895i −0.0802721 + 0.118392i
\(576\) −1.31885 8.04465i −0.0549522 0.335194i
\(577\) 0.945429 + 17.4374i 0.0393587 + 0.725929i 0.949908 + 0.312529i \(0.101176\pi\)
−0.910550 + 0.413400i \(0.864341\pi\)
\(578\) −11.7637 2.58939i −0.489305 0.107704i
\(579\) −3.54190 8.88950i −0.147196 0.369435i
\(580\) −0.134436 + 0.484194i −0.00558215 + 0.0201051i
\(581\) −1.61106 + 29.7142i −0.0668379 + 1.23275i
\(582\) −3.77133 + 0.410157i −0.156327 + 0.0170016i
\(583\) 8.44726 6.42144i 0.349850 0.265949i
\(584\) 2.65270 + 9.55417i 0.109770 + 0.395354i
\(585\) −9.65230 + 2.12463i −0.399073 + 0.0878427i
\(586\) 9.03580 + 13.3268i 0.373265 + 0.550525i
\(587\) −32.7948 + 31.0649i −1.35359 + 1.28219i −0.427935 + 0.903810i \(0.640759\pi\)
−0.925652 + 0.378376i \(0.876483\pi\)
\(588\) 0.0754477 0.142309i 0.00311141 0.00586874i
\(589\) 3.19781 0.131764
\(590\) 22.0030 13.1601i 0.905848 0.541792i
\(591\) 18.6967 0.769078
\(592\) −18.1756 + 34.2829i −0.747014 + 1.40902i
\(593\) −15.5827 + 14.7607i −0.639903 + 0.606148i −0.937266 0.348616i \(-0.886652\pi\)
0.297362 + 0.954765i \(0.403893\pi\)
\(594\) 1.79756 + 2.65120i 0.0737546 + 0.108780i
\(595\) 11.5515 2.54268i 0.473565 0.104240i
\(596\) 0.113906 + 0.410254i 0.00466578 + 0.0168046i
\(597\) 8.71537 6.62525i 0.356696 0.271153i
\(598\) 28.9809 3.15186i 1.18512 0.128889i
\(599\) 1.55026 28.5928i 0.0633418 1.16827i −0.778177 0.628044i \(-0.783856\pi\)
0.841519 0.540227i \(-0.181662\pi\)
\(600\) −0.521797 + 1.87934i −0.0213023 + 0.0767239i
\(601\) −5.83171 14.6365i −0.237880 0.597035i 0.760767 0.649025i \(-0.224823\pi\)
−0.998648 + 0.0519899i \(0.983444\pi\)
\(602\) 5.28204 + 1.16267i 0.215280 + 0.0473867i
\(603\) 0.478697 + 8.82904i 0.0194940 + 0.359546i
\(604\) 0.0831423 + 0.507145i 0.00338301 + 0.0206355i
\(605\) 7.71433 11.3778i 0.313632 0.462573i
\(606\) −7.98056 + 20.0297i −0.324188 + 0.813651i
\(607\) 9.70681 + 7.37892i 0.393987 + 0.299501i 0.783347 0.621584i \(-0.213511\pi\)
−0.389360 + 0.921086i \(0.627304\pi\)
\(608\) −0.212051 0.127587i −0.00859979 0.00517432i
\(609\) 8.63890 2.91078i 0.350066 0.117951i
\(610\) −30.2694 28.6727i −1.22557 1.16092i
\(611\) 5.18492 31.6266i 0.209760 1.27948i
\(612\) −0.114056 0.0124043i −0.00461044 0.000501416i
\(613\) 36.5023 21.9627i 1.47431 0.887066i 0.474337 0.880343i \(-0.342688\pi\)
0.999977 0.00672228i \(-0.00213978\pi\)
\(614\) −20.2223 + 23.8075i −0.816105 + 0.960793i
\(615\) 8.06124 3.72953i 0.325060 0.150389i
\(616\) −10.1522 4.69691i −0.409044 0.189244i
\(617\) 16.6373 + 19.5869i 0.669792 + 0.788540i 0.987155 0.159764i \(-0.0510734\pi\)
−0.317364 + 0.948304i \(0.602798\pi\)
\(618\) 9.68879 + 3.26453i 0.389740 + 0.131319i
\(619\) 10.0326 + 18.9235i 0.403245 + 0.760601i 0.999097 0.0424935i \(-0.0135302\pi\)
−0.595852 + 0.803095i \(0.703185\pi\)
\(620\) −0.127926 0.241295i −0.00513765 0.00969063i
\(621\) −4.75910 1.60353i −0.190976 0.0643474i
\(622\) −2.23948 2.63651i −0.0897948 0.105715i
\(623\) −1.21683 0.562967i −0.0487514 0.0225548i
\(624\) 14.7469 6.82266i 0.590350 0.273125i
\(625\) −18.0935 + 21.3013i −0.723739 + 0.852051i
\(626\) 13.0915 7.87690i 0.523242 0.314824i
\(627\) 2.51340 + 0.273349i 0.100376 + 0.0109165i
\(628\) 0.0586238 0.357589i 0.00233935 0.0142694i
\(629\) 20.8286 + 19.7299i 0.830492 + 0.786684i
\(630\) 5.41590 1.82483i 0.215774 0.0727029i
\(631\) −37.5786 22.6103i −1.49598 0.900102i −0.999486 0.0320623i \(-0.989793\pi\)
−0.496495 0.868040i \(-0.665380\pi\)
\(632\) −29.5563 22.4682i −1.17569 0.893735i
\(633\) 9.02532 22.6518i 0.358724 0.900330i
\(634\) 1.25504 1.85104i 0.0498440 0.0735144i
\(635\) 7.14679 + 43.5935i 0.283612 + 1.72995i
\(636\) 0.00994185 + 0.183367i 0.000394220 + 0.00727096i
\(637\) 16.4724 + 3.62584i 0.652659 + 0.143661i
\(638\) 6.31232 + 15.8427i 0.249907 + 0.627219i
\(639\) −2.34594 + 8.44931i −0.0928039 + 0.334250i
\(640\) 1.41531 26.1039i 0.0559452 1.03185i
\(641\) −44.3028 + 4.81822i −1.74985 + 0.190308i −0.926263 0.376877i \(-0.876998\pi\)
−0.823590 + 0.567185i \(0.808032\pi\)
\(642\) −0.352879 + 0.268252i −0.0139270 + 0.0105871i
\(643\) −0.326914 1.17744i −0.0128922 0.0464336i 0.956824 0.290667i \(-0.0938773\pi\)
−0.969716 + 0.244234i \(0.921464\pi\)
\(644\) 0.332482 0.0731847i 0.0131016 0.00288388i
\(645\) 3.01814 + 4.45143i 0.118839 + 0.175275i
\(646\) 3.25526 3.08354i 0.128076 0.121320i
\(647\) 6.25160 11.7918i 0.245776 0.463582i −0.729677 0.683792i \(-0.760329\pi\)
0.975452 + 0.220210i \(0.0706743\pi\)
\(648\) −2.85573 −0.112184
\(649\) −6.54706 + 16.3071i −0.256995 + 0.640108i
\(650\) −3.96465 −0.155506
\(651\) −2.32072 + 4.37735i −0.0909564 + 0.171562i
\(652\) 0.251784 0.238503i 0.00986064 0.00934050i
\(653\) −1.61204 2.37758i −0.0630840 0.0930420i 0.794839 0.606821i \(-0.207555\pi\)
−0.857923 + 0.513779i \(0.828245\pi\)
\(654\) −19.3519 + 4.25968i −0.756720 + 0.166567i
\(655\) 7.29957 + 26.2907i 0.285218 + 1.02726i
\(656\) −11.6251 + 8.83718i −0.453884 + 0.345034i
\(657\) 3.45183 0.375409i 0.134669 0.0146461i
\(658\) −1.00332 + 18.5051i −0.0391133 + 0.721402i
\(659\) −2.96750 + 10.6880i −0.115597 + 0.416344i −0.998593 0.0530379i \(-0.983110\pi\)
0.882995 + 0.469382i \(0.155523\pi\)
\(660\) −0.0799210 0.200587i −0.00311092 0.00780783i
\(661\) −17.0814 3.75991i −0.664391 0.146244i −0.130043 0.991508i \(-0.541512\pi\)
−0.534348 + 0.845265i \(0.679443\pi\)
\(662\) 0.953251 + 17.5817i 0.0370492 + 0.683332i
\(663\) −1.94362 11.8556i −0.0754839 0.460432i
\(664\) 27.8526 41.0796i 1.08089 1.59420i
\(665\) 1.66965 4.19050i 0.0647461 0.162501i
\(666\) 11.0357 + 8.38911i 0.427624 + 0.325071i
\(667\) −22.9105 13.7848i −0.887097 0.533748i
\(668\) 0.391936 0.132058i 0.0151644 0.00510950i
\(669\) 14.2776 + 13.5244i 0.552003 + 0.522885i
\(670\) −4.77467 + 29.1242i −0.184461 + 1.12517i
\(671\) 28.4090 + 3.08967i 1.09672 + 0.119275i
\(672\) 0.328538 0.197675i 0.0126736 0.00762546i
\(673\) −13.0111 + 15.3179i −0.501542 + 0.590461i −0.953430 0.301614i \(-0.902475\pi\)
0.451888 + 0.892074i \(0.350751\pi\)
\(674\) 28.3169 13.1008i 1.09072 0.504623i
\(675\) 0.619866 + 0.286781i 0.0238587 + 0.0110382i
\(676\) −0.107352 0.126384i −0.00412890 0.00486092i
\(677\) 12.4007 + 4.17828i 0.476597 + 0.160584i 0.547340 0.836910i \(-0.315640\pi\)
−0.0707427 + 0.997495i \(0.522537\pi\)
\(678\) 12.3688 + 23.3301i 0.475023 + 0.895988i
\(679\) −2.17299 4.09870i −0.0833919 0.157294i
\(680\) −18.6947 6.29899i −0.716910 0.241555i
\(681\) −8.09495 9.53011i −0.310199 0.365195i
\(682\) −8.41197 3.89179i −0.322111 0.149024i
\(683\) −14.3895 + 6.65729i −0.550599 + 0.254734i −0.675405 0.737447i \(-0.736031\pi\)
0.124806 + 0.992181i \(0.460169\pi\)
\(684\) −0.0283259 + 0.0333478i −0.00108307 + 0.00127509i
\(685\) 19.2100 11.5583i 0.733978 0.441620i
\(686\) −26.3791 2.86890i −1.00716 0.109535i
\(687\) −4.65920 + 28.4198i −0.177759 + 1.08428i
\(688\) −6.41919 6.08058i −0.244729 0.231820i
\(689\) −18.2229 + 6.13999i −0.694235 + 0.233915i
\(690\) −14.3630 8.64194i −0.546791 0.328993i
\(691\) 8.63356 + 6.56306i 0.328436 + 0.249671i 0.756377 0.654136i \(-0.226968\pi\)
−0.427941 + 0.903807i \(0.640761\pi\)
\(692\) 0.151829 0.381062i 0.00577167 0.0144858i
\(693\) −2.19821 + 3.24211i −0.0835030 + 0.123158i
\(694\) −5.24192 31.9743i −0.198980 1.21373i
\(695\) 1.41845 + 26.1617i 0.0538047 + 0.992370i
\(696\) −14.8488 3.26848i −0.562844 0.123891i
\(697\) 3.99631 + 10.0300i 0.151371 + 0.379912i
\(698\) −2.59378 + 9.34196i −0.0981761 + 0.353598i
\(699\) 0.209582 3.86552i 0.00792713 0.146207i
\(700\) −0.0460286 + 0.00500592i −0.00173972 + 0.000189206i
\(701\) 21.6219 16.4366i 0.816649 0.620800i −0.111183 0.993800i \(-0.535464\pi\)
0.927831 + 0.373000i \(0.121671\pi\)
\(702\) −1.55296 5.59325i −0.0586126 0.211103i
\(703\) 10.6857 2.35209i 0.403017 0.0887108i
\(704\) 10.4659 + 15.4360i 0.394447 + 0.581766i
\(705\) −13.3788 + 12.6731i −0.503876 + 0.477297i
\(706\) −10.7947 + 20.3610i −0.406265 + 0.766298i
\(707\) −26.3667 −0.991621
\(708\) −0.170001 0.252158i −0.00638904 0.00947667i
\(709\) −14.5471 −0.546329 −0.273165 0.961967i \(-0.588070\pi\)
−0.273165 + 0.961967i \(0.588070\pi\)
\(710\) −13.7099 + 25.8596i −0.514522 + 0.970492i
\(711\) −9.43853 + 8.94065i −0.353973 + 0.335301i
\(712\) 1.25491 + 1.85086i 0.0470298 + 0.0693638i
\(713\) 14.1919 3.12388i 0.531492 0.116990i
\(714\) 1.85852 + 6.69378i 0.0695533 + 0.250508i
\(715\) 17.9999 13.6832i 0.673159 0.511722i
\(716\) −0.244663 + 0.0266087i −0.00914347 + 0.000994413i
\(717\) −0.118735 + 2.18993i −0.00443423 + 0.0817846i
\(718\) −2.53857 + 9.14310i −0.0947386 + 0.341218i
\(719\) −14.3204 35.9414i −0.534059 1.34039i −0.910332 0.413878i \(-0.864174\pi\)
0.376273 0.926509i \(-0.377205\pi\)
\(720\) −9.12467 2.00849i −0.340056 0.0748521i
\(721\) 0.676886 + 12.4844i 0.0252086 + 0.464944i
\(722\) 4.02720 + 24.5648i 0.149877 + 0.914208i
\(723\) −14.8585 + 21.9146i −0.552593 + 0.815014i
\(724\) −0.245235 + 0.615493i −0.00911408 + 0.0228746i
\(725\) 2.89487 + 2.20062i 0.107513 + 0.0817291i
\(726\) 6.91805 + 4.16245i 0.256753 + 0.154483i
\(727\) 31.3393 10.5594i 1.16231 0.391628i 0.328944 0.944349i \(-0.393307\pi\)
0.833366 + 0.552721i \(0.186411\pi\)
\(728\) 14.7172 + 13.9409i 0.545457 + 0.516684i
\(729\) −0.161782 + 0.986827i −0.00599193 + 0.0365491i
\(730\) 11.5215 + 1.25304i 0.426432 + 0.0463772i
\(731\) −5.60166 + 3.37041i −0.207185 + 0.124659i
\(732\) −0.320168 + 0.376931i −0.0118338 + 0.0139318i
\(733\) −38.7096 + 17.9090i −1.42977 + 0.661483i −0.973569 0.228392i \(-0.926653\pi\)
−0.456203 + 0.889875i \(0.650791\pi\)
\(734\) −34.7519 16.0780i −1.28272 0.593448i
\(735\) −6.27865 7.39179i −0.231591 0.272650i
\(736\) −1.06572 0.359083i −0.0392829 0.0132360i
\(737\) −9.47496 17.8717i −0.349015 0.658312i
\(738\) 2.44359 + 4.60910i 0.0899498 + 0.169663i
\(739\) −6.50174 2.19069i −0.239170 0.0805859i 0.197164 0.980371i \(-0.436827\pi\)
−0.436334 + 0.899785i \(0.643723\pi\)
\(740\) −0.604952 0.712205i −0.0222385 0.0261812i
\(741\) −4.15827 1.92382i −0.152758 0.0706733i
\(742\) 10.0917 4.66893i 0.370479 0.171402i
\(743\) 26.5094 31.2093i 0.972537 1.14496i −0.0168794 0.999858i \(-0.505373\pi\)
0.989417 0.145102i \(-0.0463510\pi\)
\(744\) 7.08051 4.26020i 0.259584 0.156187i
\(745\) 25.4863 + 2.77180i 0.933744 + 0.101551i
\(746\) 4.30844 26.2803i 0.157743 0.962190i
\(747\) −12.6176 11.9520i −0.461653 0.437301i
\(748\) 0.248727 0.0838059i 0.00909436 0.00306425i
\(749\) −0.464469 0.279462i −0.0169713 0.0102113i
\(750\) −11.4712 8.72017i −0.418869 0.318416i
\(751\) 7.40022 18.5732i 0.270038 0.677744i −0.729946 0.683505i \(-0.760455\pi\)
0.999983 + 0.00576134i \(0.00183390\pi\)
\(752\) 17.0022 25.0764i 0.620008 0.914443i
\(753\) −1.09176 6.65947i −0.0397861 0.242684i
\(754\) −1.67320 30.8604i −0.0609345 1.12387i
\(755\) 30.2203 + 6.65199i 1.09983 + 0.242091i
\(756\) −0.0250917 0.0629754i −0.000912576 0.00229039i
\(757\) −10.0447 + 36.1777i −0.365081 + 1.31490i 0.521865 + 0.853028i \(0.325236\pi\)
−0.886946 + 0.461873i \(0.847177\pi\)
\(758\) −1.46193 + 26.9638i −0.0530998 + 0.979369i
\(759\) 11.4215 1.24217i 0.414575 0.0450877i
\(760\) −5.98938 + 4.55301i −0.217258 + 0.165155i
\(761\) 1.18765 + 4.27754i 0.0430524 + 0.155061i 0.981952 0.189130i \(-0.0605669\pi\)
−0.938900 + 0.344191i \(0.888153\pi\)
\(762\) −25.3391 + 5.57756i −0.917939 + 0.202054i
\(763\) −13.5985 20.0563i −0.492299 0.726087i
\(764\) −0.412474 + 0.390716i −0.0149228 + 0.0141356i
\(765\) −3.23577 + 6.10331i −0.116990 + 0.220666i
\(766\) −8.80134 −0.318005
\(767\) 20.6798 24.2168i 0.746705 0.874419i
\(768\) −0.949832 −0.0342741
\(769\) 16.2491 30.6490i 0.585957 1.10523i −0.396375 0.918089i \(-0.629732\pi\)
0.982332 0.187144i \(-0.0599231\pi\)
\(770\) −9.49197 + 8.99127i −0.342067 + 0.324023i
\(771\) 0.167134 + 0.246504i 0.00601917 + 0.00887761i
\(772\) −0.370003 + 0.0814439i