Properties

Label 91.2.w.a.19.5
Level $91$
Weight $2$
Character 91.19
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.5
Character \(\chi\) \(=\) 91.19
Dual form 91.2.w.a.24.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.369709 + 0.0990633i) q^{2} -0.914861i q^{3} +(-1.60518 - 0.926751i) q^{4} +(3.58134 - 0.959617i) q^{5} +(0.0906291 - 0.338232i) q^{6} +(-2.28025 + 1.34181i) q^{7} +(-1.04293 - 1.04293i) q^{8} +2.16303 q^{9} +O(q^{10})\) \(q+(0.369709 + 0.0990633i) q^{2} -0.914861i q^{3} +(-1.60518 - 0.926751i) q^{4} +(3.58134 - 0.959617i) q^{5} +(0.0906291 - 0.338232i) q^{6} +(-2.28025 + 1.34181i) q^{7} +(-1.04293 - 1.04293i) q^{8} +2.16303 q^{9} +1.41912 q^{10} +(0.0619435 + 0.0619435i) q^{11} +(-0.847848 + 1.46852i) q^{12} +(-1.63590 + 3.21307i) q^{13} +(-0.975954 + 0.270190i) q^{14} +(-0.877916 - 3.27643i) q^{15} +(1.57124 + 2.72146i) q^{16} +(-2.94521 + 5.10126i) q^{17} +(0.799692 + 0.214277i) q^{18} +(-2.62545 - 2.62545i) q^{19} +(-6.63802 - 1.77865i) q^{20} +(1.22757 + 2.08611i) q^{21} +(0.0167648 + 0.0290374i) q^{22} +(-0.386571 + 0.223187i) q^{23} +(-0.954139 + 0.954139i) q^{24} +(7.57501 - 4.37343i) q^{25} +(-0.923104 + 1.02585i) q^{26} -4.72345i q^{27} +(4.90374 - 0.0406215i) q^{28} +(0.706429 - 1.22357i) q^{29} -1.29829i q^{30} +(-0.520311 + 1.94183i) q^{31} +(1.07478 + 4.01115i) q^{32} +(0.0566697 - 0.0566697i) q^{33} +(-1.59422 + 1.59422i) q^{34} +(-6.87873 + 6.99365i) q^{35} +(-3.47205 - 2.00459i) q^{36} +(0.686183 - 2.56087i) q^{37} +(-0.710566 - 1.23074i) q^{38} +(2.93951 + 1.49662i) q^{39} +(-4.73592 - 2.73428i) q^{40} +(-3.00264 + 0.804556i) q^{41} +(0.247186 + 0.892862i) q^{42} +(8.64788 - 4.99286i) q^{43} +(-0.0420243 - 0.156837i) q^{44} +(7.74655 - 2.07568i) q^{45} +(-0.165028 + 0.0442192i) q^{46} +(2.36877 + 8.84037i) q^{47} +(2.48976 - 1.43746i) q^{48} +(3.39909 - 6.11933i) q^{49} +(3.23380 - 0.866493i) q^{50} +(4.66694 + 2.69446i) q^{51} +(5.60363 - 3.64149i) q^{52} +(-6.28118 - 10.8793i) q^{53} +(0.467921 - 1.74630i) q^{54} +(0.281283 + 0.162399i) q^{55} +(3.77757 + 0.978732i) q^{56} +(-2.40192 + 2.40192i) q^{57} +(0.382384 - 0.382384i) q^{58} +(-1.85141 - 6.90954i) q^{59} +(-1.62722 + 6.07286i) q^{60} +0.127695i q^{61} +(-0.384727 + 0.666367i) q^{62} +(-4.93225 + 2.90238i) q^{63} -4.69551i q^{64} +(-2.77539 + 13.0769i) q^{65} +(0.0265652 - 0.0153374i) q^{66} +(-7.04056 + 7.04056i) q^{67} +(9.45519 - 5.45896i) q^{68} +(0.204185 + 0.353658i) q^{69} +(-3.23594 + 1.90419i) q^{70} +(-9.83277 - 2.63468i) q^{71} +(-2.25590 - 2.25590i) q^{72} +(-8.84847 - 2.37094i) q^{73} +(0.507376 - 0.878801i) q^{74} +(-4.00108 - 6.93007i) q^{75} +(1.78118 + 6.64744i) q^{76} +(-0.224363 - 0.0581303i) q^{77} +(0.938505 + 0.844511i) q^{78} +(1.75744 - 3.04398i) q^{79} +(8.23869 + 8.23869i) q^{80} +2.16779 q^{81} -1.18981 q^{82} +(2.17980 + 2.17980i) q^{83} +(-0.0371630 - 4.48623i) q^{84} +(-5.65256 + 21.0956i) q^{85} +(3.69181 - 0.989217i) q^{86} +(-1.11940 - 0.646284i) q^{87} -0.129206i q^{88} +(1.63171 + 0.437215i) q^{89} +3.06959 q^{90} +(-0.581076 - 9.52168i) q^{91} +0.827354 q^{92} +(1.77650 + 0.476012i) q^{93} +3.50302i q^{94} +(-11.9220 - 6.88319i) q^{95} +(3.66964 - 0.983278i) q^{96} +(0.452103 - 1.68727i) q^{97} +(1.86288 - 1.92565i) q^{98} +(0.133986 + 0.133986i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} - 12q^{10} + 2q^{11} + 8q^{12} - 20q^{14} + 10q^{15} - 2q^{16} - 6q^{17} - 4q^{18} - 8q^{19} - 36q^{20} - 2q^{21} - 8q^{22} - 6q^{23} + 12q^{24} + 24q^{26} - 18q^{28} - 8q^{29} - 38q^{31} - 20q^{32} + 18q^{33} + 12q^{34} - 2q^{35} + 54q^{36} - 16q^{37} + 28q^{39} + 48q^{40} + 18q^{41} - 4q^{42} + 48q^{43} - 6q^{44} + 12q^{45} + 18q^{46} - 42q^{47} + 12q^{48} + 8q^{49} + 10q^{50} + 12q^{51} - 28q^{52} + 12q^{53} - 30q^{54} - 6q^{55} - 24q^{56} + 12q^{57} + 62q^{58} - 6q^{59} + 16q^{60} - 36q^{62} - 38q^{63} - 2q^{65} + 66q^{66} - 4q^{67} + 30q^{68} + 42q^{69} + 68q^{70} - 42q^{71} - 38q^{72} + 14q^{73} - 6q^{74} - 20q^{75} + 52q^{76} - 62q^{78} + 4q^{79} + 12q^{80} + 12q^{81} - 108q^{82} - 66q^{83} - 56q^{84} - 54q^{85} - 30q^{86} + 42q^{87} - 30q^{89} - 72q^{90} - 42q^{91} - 156q^{92} + 14q^{93} - 6q^{95} + 18q^{96} + 62q^{97} + 112q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.369709 + 0.0990633i 0.261424 + 0.0700483i 0.387150 0.922017i \(-0.373459\pi\)
−0.125726 + 0.992065i \(0.540126\pi\)
\(3\) 0.914861i 0.528195i −0.964496 0.264097i \(-0.914926\pi\)
0.964496 0.264097i \(-0.0850741\pi\)
\(4\) −1.60518 0.926751i −0.802590 0.463375i
\(5\) 3.58134 0.959617i 1.60162 0.429154i 0.656091 0.754681i \(-0.272209\pi\)
0.945533 + 0.325528i \(0.105542\pi\)
\(6\) 0.0906291 0.338232i 0.0369992 0.138083i
\(7\) −2.28025 + 1.34181i −0.861854 + 0.507157i
\(8\) −1.04293 1.04293i −0.368733 0.368733i
\(9\) 2.16303 0.721010
\(10\) 1.41912 0.448764
\(11\) 0.0619435 + 0.0619435i 0.0186767 + 0.0186767i 0.716383 0.697707i \(-0.245796\pi\)
−0.697707 + 0.716383i \(0.745796\pi\)
\(12\) −0.847848 + 1.46852i −0.244753 + 0.423924i
\(13\) −1.63590 + 3.21307i −0.453716 + 0.891146i
\(14\) −0.975954 + 0.270190i −0.260835 + 0.0722114i
\(15\) −0.877916 3.27643i −0.226677 0.845970i
\(16\) 1.57124 + 2.72146i 0.392809 + 0.680365i
\(17\) −2.94521 + 5.10126i −0.714319 + 1.23724i 0.248902 + 0.968529i \(0.419930\pi\)
−0.963221 + 0.268709i \(0.913403\pi\)
\(18\) 0.799692 + 0.214277i 0.188489 + 0.0505055i
\(19\) −2.62545 2.62545i −0.602318 0.602318i 0.338609 0.940927i \(-0.390044\pi\)
−0.940927 + 0.338609i \(0.890044\pi\)
\(20\) −6.63802 1.77865i −1.48431 0.397719i
\(21\) 1.22757 + 2.08611i 0.267878 + 0.455227i
\(22\) 0.0167648 + 0.0290374i 0.00357426 + 0.00619080i
\(23\) −0.386571 + 0.223187i −0.0806056 + 0.0465377i −0.539761 0.841818i \(-0.681485\pi\)
0.459155 + 0.888356i \(0.348152\pi\)
\(24\) −0.954139 + 0.954139i −0.194763 + 0.194763i
\(25\) 7.57501 4.37343i 1.51500 0.874686i
\(26\) −0.923104 + 1.02585i −0.181036 + 0.201185i
\(27\) 4.72345i 0.909029i
\(28\) 4.90374 0.0406215i 0.926719 0.00767675i
\(29\) 0.706429 1.22357i 0.131181 0.227212i −0.792951 0.609285i \(-0.791457\pi\)
0.924132 + 0.382073i \(0.124790\pi\)
\(30\) 1.29829i 0.237035i
\(31\) −0.520311 + 1.94183i −0.0934505 + 0.348762i −0.996780 0.0801853i \(-0.974449\pi\)
0.903329 + 0.428947i \(0.141115\pi\)
\(32\) 1.07478 + 4.01115i 0.189997 + 0.709078i
\(33\) 0.0566697 0.0566697i 0.00986492 0.00986492i
\(34\) −1.59422 + 1.59422i −0.273406 + 0.273406i
\(35\) −6.87873 + 6.99365i −1.16272 + 1.18214i
\(36\) −3.47205 2.00459i −0.578675 0.334098i
\(37\) 0.686183 2.56087i 0.112808 0.421004i −0.886306 0.463100i \(-0.846737\pi\)
0.999114 + 0.0420961i \(0.0134036\pi\)
\(38\) −0.710566 1.23074i −0.115269 0.199652i
\(39\) 2.93951 + 1.49662i 0.470699 + 0.239651i
\(40\) −4.73592 2.73428i −0.748815 0.432328i
\(41\) −3.00264 + 0.804556i −0.468934 + 0.125651i −0.485545 0.874211i \(-0.661379\pi\)
0.0166112 + 0.999862i \(0.494712\pi\)
\(42\) 0.247186 + 0.892862i 0.0381417 + 0.137772i
\(43\) 8.64788 4.99286i 1.31879 0.761404i 0.335256 0.942127i \(-0.391177\pi\)
0.983534 + 0.180724i \(0.0578439\pi\)
\(44\) −0.0420243 0.156837i −0.00633539 0.0236440i
\(45\) 7.74655 2.07568i 1.15479 0.309424i
\(46\) −0.165028 + 0.0442192i −0.0243321 + 0.00651977i
\(47\) 2.36877 + 8.84037i 0.345521 + 1.28950i 0.892003 + 0.452030i \(0.149300\pi\)
−0.546482 + 0.837471i \(0.684033\pi\)
\(48\) 2.48976 1.43746i 0.359365 0.207480i
\(49\) 3.39909 6.11933i 0.485584 0.874190i
\(50\) 3.23380 0.866493i 0.457328 0.122541i
\(51\) 4.66694 + 2.69446i 0.653503 + 0.377300i
\(52\) 5.60363 3.64149i 0.777083 0.504984i
\(53\) −6.28118 10.8793i −0.862786 1.49439i −0.869229 0.494410i \(-0.835384\pi\)
0.00644326 0.999979i \(-0.497949\pi\)
\(54\) 0.467921 1.74630i 0.0636759 0.237642i
\(55\) 0.281283 + 0.162399i 0.0379282 + 0.0218978i
\(56\) 3.77757 + 0.978732i 0.504799 + 0.130789i
\(57\) −2.40192 + 2.40192i −0.318142 + 0.318142i
\(58\) 0.382384 0.382384i 0.0502095 0.0502095i
\(59\) −1.85141 6.90954i −0.241032 0.899545i −0.975336 0.220724i \(-0.929158\pi\)
0.734304 0.678821i \(-0.237509\pi\)
\(60\) −1.62722 + 6.07286i −0.210073 + 0.784003i
\(61\) 0.127695i 0.0163496i 0.999967 + 0.00817481i \(0.00260215\pi\)
−0.999967 + 0.00817481i \(0.997398\pi\)
\(62\) −0.384727 + 0.666367i −0.0488604 + 0.0846287i
\(63\) −4.93225 + 2.90238i −0.621405 + 0.365665i
\(64\) 4.69551i 0.586939i
\(65\) −2.77539 + 13.0769i −0.344244 + 1.62200i
\(66\) 0.0265652 0.0153374i 0.00326995 0.00188791i
\(67\) −7.04056 + 7.04056i −0.860142 + 0.860142i −0.991354 0.131212i \(-0.958113\pi\)
0.131212 + 0.991354i \(0.458113\pi\)
\(68\) 9.45519 5.45896i 1.14661 0.661996i
\(69\) 0.204185 + 0.353658i 0.0245810 + 0.0425755i
\(70\) −3.23594 + 1.90419i −0.386769 + 0.227594i
\(71\) −9.83277 2.63468i −1.16694 0.312679i −0.377203 0.926131i \(-0.623114\pi\)
−0.789732 + 0.613451i \(0.789781\pi\)
\(72\) −2.25590 2.25590i −0.265860 0.265860i
\(73\) −8.84847 2.37094i −1.03563 0.277498i −0.299332 0.954149i \(-0.596764\pi\)
−0.736303 + 0.676652i \(0.763430\pi\)
\(74\) 0.507376 0.878801i 0.0589813 0.102159i
\(75\) −4.00108 6.93007i −0.462005 0.800216i
\(76\) 1.78118 + 6.64744i 0.204315 + 0.762514i
\(77\) −0.224363 0.0581303i −0.0255686 0.00662457i
\(78\) 0.938505 + 0.844511i 0.106265 + 0.0956221i
\(79\) 1.75744 3.04398i 0.197728 0.342474i −0.750064 0.661366i \(-0.769977\pi\)
0.947791 + 0.318891i \(0.103311\pi\)
\(80\) 8.23869 + 8.23869i 0.921114 + 0.921114i
\(81\) 2.16779 0.240866
\(82\) −1.18981 −0.131392
\(83\) 2.17980 + 2.17980i 0.239264 + 0.239264i 0.816545 0.577281i \(-0.195886\pi\)
−0.577281 + 0.816545i \(0.695886\pi\)
\(84\) −0.0371630 4.48623i −0.00405482 0.489488i
\(85\) −5.65256 + 21.0956i −0.613106 + 2.28814i
\(86\) 3.69181 0.989217i 0.398098 0.106670i
\(87\) −1.11940 0.646284i −0.120012 0.0692890i
\(88\) 0.129206i 0.0137734i
\(89\) 1.63171 + 0.437215i 0.172961 + 0.0463447i 0.344260 0.938874i \(-0.388130\pi\)
−0.171299 + 0.985219i \(0.554797\pi\)
\(90\) 3.06959 0.323564
\(91\) −0.581076 9.52168i −0.0609133 0.998143i
\(92\) 0.827354 0.0862576
\(93\) 1.77650 + 0.476012i 0.184214 + 0.0493601i
\(94\) 3.50302i 0.361309i
\(95\) −11.9220 6.88319i −1.22318 0.706200i
\(96\) 3.66964 0.983278i 0.374531 0.100355i
\(97\) 0.452103 1.68727i 0.0459041 0.171317i −0.939168 0.343458i \(-0.888402\pi\)
0.985072 + 0.172141i \(0.0550685\pi\)
\(98\) 1.86288 1.92565i 0.188179 0.194520i
\(99\) 0.133986 + 0.133986i 0.0134661 + 0.0134661i
\(100\) −16.2123 −1.62123
\(101\) −6.82241 −0.678855 −0.339427 0.940632i \(-0.610233\pi\)
−0.339427 + 0.940632i \(0.610233\pi\)
\(102\) 1.45849 + 1.45849i 0.144412 + 0.144412i
\(103\) −5.00029 + 8.66076i −0.492693 + 0.853370i −0.999965 0.00841640i \(-0.997321\pi\)
0.507271 + 0.861787i \(0.330654\pi\)
\(104\) 5.05716 1.64489i 0.495895 0.161295i
\(105\) 6.39821 + 6.29308i 0.624402 + 0.614142i
\(106\) −1.24447 4.64442i −0.120873 0.451106i
\(107\) 0.0299435 + 0.0518637i 0.00289475 + 0.00501386i 0.867469 0.497491i \(-0.165745\pi\)
−0.864574 + 0.502505i \(0.832412\pi\)
\(108\) −4.37746 + 7.58199i −0.421222 + 0.729577i
\(109\) 15.8862 + 4.25671i 1.52163 + 0.407719i 0.920277 0.391267i \(-0.127963\pi\)
0.601350 + 0.798986i \(0.294630\pi\)
\(110\) 0.0879051 + 0.0879051i 0.00838142 + 0.00838142i
\(111\) −2.34284 0.627762i −0.222372 0.0595845i
\(112\) −7.23450 4.09731i −0.683596 0.387160i
\(113\) 2.74673 + 4.75748i 0.258391 + 0.447546i 0.965811 0.259247i \(-0.0834744\pi\)
−0.707420 + 0.706793i \(0.750141\pi\)
\(114\) −1.12595 + 0.650069i −0.105455 + 0.0608845i
\(115\) −1.17027 + 1.17027i −0.109128 + 0.109128i
\(116\) −2.26789 + 1.30937i −0.210569 + 0.121572i
\(117\) −3.53850 + 6.94997i −0.327134 + 0.642525i
\(118\) 2.73793i 0.252047i
\(119\) −0.129095 15.5841i −0.0118341 1.42859i
\(120\) −2.50149 + 4.33271i −0.228354 + 0.395520i
\(121\) 10.9923i 0.999302i
\(122\) −0.0126498 + 0.0472098i −0.00114526 + 0.00427418i
\(123\) 0.736057 + 2.74700i 0.0663680 + 0.247689i
\(124\) 2.63478 2.63478i 0.236610 0.236610i
\(125\) 9.82324 9.82324i 0.878617 0.878617i
\(126\) −2.11102 + 0.584430i −0.188064 + 0.0520652i
\(127\) 14.7405 + 8.51045i 1.30801 + 0.755180i 0.981764 0.190104i \(-0.0608826\pi\)
0.326247 + 0.945285i \(0.394216\pi\)
\(128\) 2.61472 9.75827i 0.231111 0.862518i
\(129\) −4.56777 7.91161i −0.402170 0.696578i
\(130\) −2.32153 + 4.55973i −0.203612 + 0.399914i
\(131\) 2.35567 + 1.36005i 0.205816 + 0.118828i 0.599365 0.800475i \(-0.295420\pi\)
−0.393549 + 0.919303i \(0.628753\pi\)
\(132\) −0.143484 + 0.0384463i −0.0124886 + 0.00334632i
\(133\) 9.50952 + 2.46383i 0.824580 + 0.213641i
\(134\) −3.30042 + 1.90550i −0.285113 + 0.164610i
\(135\) −4.53271 16.9163i −0.390113 1.45592i
\(136\) 8.39194 2.24861i 0.719603 0.192817i
\(137\) 4.16096 1.11493i 0.355495 0.0952545i −0.0766518 0.997058i \(-0.524423\pi\)
0.432147 + 0.901803i \(0.357756\pi\)
\(138\) 0.0404544 + 0.150978i 0.00344371 + 0.0128521i
\(139\) 12.1251 7.00040i 1.02843 0.593766i 0.111898 0.993720i \(-0.464307\pi\)
0.916535 + 0.399953i \(0.130974\pi\)
\(140\) 17.5230 4.85119i 1.48096 0.410000i
\(141\) 8.08771 2.16709i 0.681108 0.182502i
\(142\) −3.37426 1.94813i −0.283162 0.163484i
\(143\) −0.300362 + 0.0976958i −0.0251176 + 0.00816973i
\(144\) 3.39863 + 5.88660i 0.283219 + 0.490550i
\(145\) 1.35580 5.05993i 0.112593 0.420204i
\(146\) −3.03649 1.75312i −0.251301 0.145089i
\(147\) −5.59833 3.10969i −0.461743 0.256483i
\(148\) −3.47473 + 3.47473i −0.285621 + 0.285621i
\(149\) −6.48441 + 6.48441i −0.531223 + 0.531223i −0.920936 0.389713i \(-0.872574\pi\)
0.389713 + 0.920936i \(0.372574\pi\)
\(150\) −0.792720 2.95847i −0.0647253 0.241558i
\(151\) 1.96450 7.33161i 0.159869 0.596638i −0.838770 0.544485i \(-0.816725\pi\)
0.998639 0.0521530i \(-0.0166083\pi\)
\(152\) 5.47633i 0.444189i
\(153\) −6.37059 + 11.0342i −0.515031 + 0.892061i
\(154\) −0.0771905 0.0437175i −0.00622019 0.00352285i
\(155\) 7.45364i 0.598691i
\(156\) −3.33145 5.12654i −0.266730 0.410452i
\(157\) −0.438021 + 0.252891i −0.0349578 + 0.0201829i −0.517377 0.855758i \(-0.673092\pi\)
0.482419 + 0.875940i \(0.339758\pi\)
\(158\) 0.951289 0.951289i 0.0756805 0.0756805i
\(159\) −9.95306 + 5.74640i −0.789329 + 0.455719i
\(160\) 7.69834 + 13.3339i 0.608607 + 1.05414i
\(161\) 0.582004 1.02763i 0.0458684 0.0809883i
\(162\) 0.801452 + 0.214748i 0.0629680 + 0.0168722i
\(163\) 3.14032 + 3.14032i 0.245969 + 0.245969i 0.819314 0.573345i \(-0.194355\pi\)
−0.573345 + 0.819314i \(0.694355\pi\)
\(164\) 5.56541 + 1.49125i 0.434585 + 0.116447i
\(165\) 0.148572 0.257335i 0.0115663 0.0200335i
\(166\) 0.589953 + 1.02183i 0.0457892 + 0.0793093i
\(167\) 2.07730 + 7.75258i 0.160746 + 0.599913i 0.998545 + 0.0539330i \(0.0171757\pi\)
−0.837798 + 0.545980i \(0.816158\pi\)
\(168\) 0.895404 3.45595i 0.0690819 0.266632i
\(169\) −7.64768 10.5125i −0.588283 0.808655i
\(170\) −4.17960 + 7.23929i −0.320561 + 0.555228i
\(171\) −5.67892 5.67892i −0.434278 0.434278i
\(172\) −18.5085 −1.41126
\(173\) 1.26309 0.0960313 0.0480157 0.998847i \(-0.484710\pi\)
0.0480157 + 0.998847i \(0.484710\pi\)
\(174\) −0.349828 0.349828i −0.0265204 0.0265204i
\(175\) −11.4046 + 20.1367i −0.862107 + 1.52219i
\(176\) −0.0712489 + 0.265905i −0.00537059 + 0.0200433i
\(177\) −6.32126 + 1.69378i −0.475135 + 0.127312i
\(178\) 0.559946 + 0.323285i 0.0419697 + 0.0242312i
\(179\) 1.69022i 0.126333i 0.998003 + 0.0631665i \(0.0201199\pi\)
−0.998003 + 0.0631665i \(0.979880\pi\)
\(180\) −14.3582 3.84728i −1.07020 0.286759i
\(181\) 8.30825 0.617547 0.308774 0.951136i \(-0.400081\pi\)
0.308774 + 0.951136i \(0.400081\pi\)
\(182\) 0.728419 3.57781i 0.0539940 0.265205i
\(183\) 0.116823 0.00863578
\(184\) 0.635937 + 0.170399i 0.0468819 + 0.0125620i
\(185\) 9.82982i 0.722703i
\(186\) 0.609633 + 0.351972i 0.0447005 + 0.0258078i
\(187\) −0.498427 + 0.133553i −0.0364486 + 0.00976637i
\(188\) 4.39052 16.3856i 0.320211 1.19505i
\(189\) 6.33798 + 10.7707i 0.461020 + 0.783450i
\(190\) −3.72581 3.72581i −0.270299 0.270299i
\(191\) 20.6280 1.49259 0.746296 0.665614i \(-0.231830\pi\)
0.746296 + 0.665614i \(0.231830\pi\)
\(192\) −4.29574 −0.310018
\(193\) −9.48031 9.48031i −0.682408 0.682408i 0.278134 0.960542i \(-0.410284\pi\)
−0.960542 + 0.278134i \(0.910284\pi\)
\(194\) 0.334293 0.579013i 0.0240009 0.0415707i
\(195\) 11.9636 + 2.53909i 0.856730 + 0.181828i
\(196\) −11.1272 + 6.67251i −0.794803 + 0.476608i
\(197\) 4.28034 + 15.9744i 0.304961 + 1.13813i 0.932979 + 0.359932i \(0.117200\pi\)
−0.628017 + 0.778199i \(0.716133\pi\)
\(198\) 0.0362627 + 0.0628088i 0.00257708 + 0.00446363i
\(199\) 6.48108 11.2256i 0.459432 0.795759i −0.539499 0.841986i \(-0.681386\pi\)
0.998931 + 0.0462272i \(0.0147198\pi\)
\(200\) −12.4614 3.33903i −0.881157 0.236105i
\(201\) 6.44113 + 6.44113i 0.454323 + 0.454323i
\(202\) −2.52231 0.675850i −0.177469 0.0475526i
\(203\) 0.0309644 + 3.73795i 0.00217327 + 0.262352i
\(204\) −4.99419 8.65018i −0.349663 0.605634i
\(205\) −9.98142 + 5.76278i −0.697133 + 0.402490i
\(206\) −2.70662 + 2.70662i −0.188579 + 0.188579i
\(207\) −0.836164 + 0.482760i −0.0581174 + 0.0335541i
\(208\) −11.3146 + 0.596465i −0.784529 + 0.0413574i
\(209\) 0.325259i 0.0224986i
\(210\) 1.74206 + 2.96044i 0.120214 + 0.204290i
\(211\) −3.19052 + 5.52614i −0.219644 + 0.380435i −0.954699 0.297572i \(-0.903823\pi\)
0.735055 + 0.678008i \(0.237156\pi\)
\(212\) 23.2843i 1.59917i
\(213\) −2.41037 + 8.99561i −0.165156 + 0.616369i
\(214\) 0.00593261 + 0.0221408i 0.000405545 + 0.00151351i
\(215\) 26.1798 26.1798i 1.78545 1.78545i
\(216\) −4.92625 + 4.92625i −0.335189 + 0.335189i
\(217\) −1.41912 5.12601i −0.0963363 0.347976i
\(218\) 5.45161 + 3.14749i 0.369229 + 0.213175i
\(219\) −2.16908 + 8.09512i −0.146573 + 0.547017i
\(220\) −0.301006 0.521358i −0.0202938 0.0351500i
\(221\) −11.5727 17.8083i −0.778461 1.19792i
\(222\) −0.803981 0.464178i −0.0539596 0.0311536i
\(223\) −12.3622 + 3.31244i −0.827834 + 0.221817i −0.647769 0.761837i \(-0.724298\pi\)
−0.180065 + 0.983655i \(0.557631\pi\)
\(224\) −7.83298 7.70427i −0.523363 0.514763i
\(225\) 16.3850 9.45986i 1.09233 0.630658i
\(226\) 0.544201 + 2.03098i 0.0361997 + 0.135099i
\(227\) −11.4537 + 3.06900i −0.760207 + 0.203697i −0.618041 0.786146i \(-0.712073\pi\)
−0.142166 + 0.989843i \(0.545407\pi\)
\(228\) 6.08148 1.62953i 0.402756 0.107918i
\(229\) 4.08875 + 15.2594i 0.270192 + 1.00837i 0.958995 + 0.283423i \(0.0914700\pi\)
−0.688803 + 0.724949i \(0.741863\pi\)
\(230\) −0.548589 + 0.316728i −0.0361729 + 0.0208844i
\(231\) −0.0531811 + 0.205261i −0.00349906 + 0.0135052i
\(232\) −2.01286 + 0.539345i −0.132151 + 0.0354098i
\(233\) −11.6063 6.70088i −0.760352 0.438989i 0.0690703 0.997612i \(-0.477997\pi\)
−0.829422 + 0.558623i \(0.811330\pi\)
\(234\) −1.99670 + 2.21893i −0.130528 + 0.145056i
\(235\) 16.9667 + 29.3873i 1.10679 + 1.91701i
\(236\) −3.43158 + 12.8068i −0.223377 + 0.833654i
\(237\) −2.78482 1.60781i −0.180893 0.104439i
\(238\) 1.49608 5.77436i 0.0969766 0.374296i
\(239\) −14.4526 + 14.4526i −0.934861 + 0.934861i −0.998004 0.0631438i \(-0.979887\pi\)
0.0631438 + 0.998004i \(0.479887\pi\)
\(240\) 7.53725 7.53725i 0.486528 0.486528i
\(241\) −0.264201 0.986010i −0.0170187 0.0635145i 0.956894 0.290436i \(-0.0938005\pi\)
−0.973913 + 0.226922i \(0.927134\pi\)
\(242\) 1.08894 4.06396i 0.0699994 0.261241i
\(243\) 16.1536i 1.03625i
\(244\) 0.118341 0.204973i 0.00757601 0.0131220i
\(245\) 6.30109 25.1772i 0.402562 1.60851i
\(246\) 1.08851i 0.0694007i
\(247\) 12.7307 4.14079i 0.810036 0.263472i
\(248\) 2.56785 1.48255i 0.163058 0.0941418i
\(249\) 1.99421 1.99421i 0.126378 0.126378i
\(250\) 4.60486 2.65862i 0.291237 0.168146i
\(251\) 5.59470 + 9.69030i 0.353134 + 0.611646i 0.986797 0.161963i \(-0.0517826\pi\)
−0.633663 + 0.773609i \(0.718449\pi\)
\(252\) 10.6069 0.0878656i 0.668174 0.00553501i
\(253\) −0.0377705 0.0101206i −0.00237461 0.000636275i
\(254\) 4.60664 + 4.60664i 0.289046 + 0.289046i
\(255\) 19.2996 + 5.17130i 1.20859 + 0.323839i
\(256\) −2.76214 + 4.78417i −0.172634 + 0.299010i
\(257\) −4.71336 8.16379i −0.294012 0.509243i 0.680743 0.732522i \(-0.261657\pi\)
−0.974754 + 0.223279i \(0.928324\pi\)
\(258\) −0.904996 3.37749i −0.0563426 0.210273i
\(259\) 1.87153 + 6.76015i 0.116291 + 0.420055i
\(260\) 16.5741 18.4187i 1.02788 1.14228i
\(261\) 1.52803 2.64662i 0.0945826 0.163822i
\(262\) 0.736183 + 0.736183i 0.0454815 + 0.0454815i
\(263\) 13.7472 0.847689 0.423844 0.905735i \(-0.360680\pi\)
0.423844 + 0.905735i \(0.360680\pi\)
\(264\) −0.118205 −0.00727505
\(265\) −32.9350 32.9350i −2.02318 2.02318i
\(266\) 3.27168 + 1.85294i 0.200600 + 0.113611i
\(267\) 0.399991 1.49279i 0.0244790 0.0913570i
\(268\) 17.8262 4.77652i 1.08891 0.291772i
\(269\) 20.4250 + 11.7924i 1.24534 + 0.718995i 0.970176 0.242403i \(-0.0779355\pi\)
0.275161 + 0.961398i \(0.411269\pi\)
\(270\) 6.70313i 0.407940i
\(271\) −8.78083 2.35282i −0.533397 0.142923i −0.0179406 0.999839i \(-0.505711\pi\)
−0.515457 + 0.856916i \(0.672378\pi\)
\(272\) −18.5105 −1.12236
\(273\) −8.71101 + 0.531604i −0.527214 + 0.0321741i
\(274\) 1.64879 0.0996072
\(275\) 0.740128 + 0.198317i 0.0446314 + 0.0119589i
\(276\) 0.756913i 0.0455608i
\(277\) 10.9662 + 6.33135i 0.658897 + 0.380414i 0.791856 0.610707i \(-0.209115\pi\)
−0.132960 + 0.991121i \(0.542448\pi\)
\(278\) 5.17622 1.38697i 0.310449 0.0831846i
\(279\) −1.12545 + 4.20023i −0.0673788 + 0.251461i
\(280\) 14.4680 0.119850i 0.864627 0.00716239i
\(281\) −23.5896 23.5896i −1.40724 1.40724i −0.773769 0.633468i \(-0.781631\pi\)
−0.633468 0.773769i \(-0.718369\pi\)
\(282\) 3.20478 0.190842
\(283\) −22.8388 −1.35763 −0.678813 0.734312i \(-0.737505\pi\)
−0.678813 + 0.734312i \(0.737505\pi\)
\(284\) 13.3417 + 13.3417i 0.791682 + 0.791682i
\(285\) −6.29716 + 10.9070i −0.373012 + 0.646075i
\(286\) −0.120725 + 0.00636415i −0.00713860 + 0.000376320i
\(287\) 5.76722 5.86357i 0.340428 0.346115i
\(288\) 2.32479 + 8.67624i 0.136990 + 0.511252i
\(289\) −8.84857 15.3262i −0.520504 0.901540i
\(290\) 1.00251 1.73639i 0.0588692 0.101964i
\(291\) −1.54362 0.413611i −0.0904885 0.0242463i
\(292\) 12.0061 + 12.0061i 0.702604 + 0.702604i
\(293\) −11.5762 3.10184i −0.676290 0.181211i −0.0957036 0.995410i \(-0.530510\pi\)
−0.580587 + 0.814198i \(0.697177\pi\)
\(294\) −1.76170 1.70427i −0.102744 0.0993951i
\(295\) −13.2610 22.9688i −0.772087 1.33729i
\(296\) −3.38646 + 1.95517i −0.196834 + 0.113642i
\(297\) 0.292587 0.292587i 0.0169776 0.0169776i
\(298\) −3.03971 + 1.75498i −0.176086 + 0.101663i
\(299\) −0.0847250 1.60719i −0.00489977 0.0929462i
\(300\) 14.8320i 0.856327i
\(301\) −13.0199 + 22.9888i −0.750453 + 1.32505i
\(302\) 1.45259 2.51596i 0.0835870 0.144777i
\(303\) 6.24155i 0.358568i
\(304\) 3.01985 11.2702i 0.173200 0.646393i
\(305\) 0.122538 + 0.457318i 0.00701650 + 0.0261859i
\(306\) −3.44835 + 3.44835i −0.197129 + 0.197129i
\(307\) 18.9842 18.9842i 1.08348 1.08348i 0.0873012 0.996182i \(-0.472176\pi\)
0.996182 0.0873012i \(-0.0278243\pi\)
\(308\) 0.306271 + 0.301238i 0.0174514 + 0.0171646i
\(309\) 7.92339 + 4.57457i 0.450746 + 0.260238i
\(310\) −0.738382 + 2.75568i −0.0419373 + 0.156512i
\(311\) 14.8991 + 25.8060i 0.844851 + 1.46333i 0.885750 + 0.464162i \(0.153644\pi\)
−0.0408993 + 0.999163i \(0.513022\pi\)
\(312\) −1.50485 4.62659i −0.0851951 0.261929i
\(313\) 14.1617 + 8.17629i 0.800469 + 0.462151i 0.843635 0.536917i \(-0.180411\pi\)
−0.0431661 + 0.999068i \(0.513744\pi\)
\(314\) −0.186992 + 0.0501045i −0.0105526 + 0.00282756i
\(315\) −14.8789 + 15.1275i −0.838331 + 0.852336i
\(316\) −5.64202 + 3.25742i −0.317388 + 0.183244i
\(317\) 4.42013 + 16.4961i 0.248259 + 0.926516i 0.971717 + 0.236147i \(0.0758848\pi\)
−0.723458 + 0.690368i \(0.757449\pi\)
\(318\) −4.24899 + 1.13851i −0.238272 + 0.0638447i
\(319\) 0.119551 0.0320336i 0.00669357 0.00179354i
\(320\) −4.50589 16.8162i −0.251887 0.940056i
\(321\) 0.0474481 0.0273942i 0.00264829 0.00152899i
\(322\) 0.316972 0.322268i 0.0176642 0.0179593i
\(323\) 21.1256 5.66058i 1.17546 0.314963i
\(324\) −3.47969 2.00900i −0.193316 0.111611i
\(325\) 1.66022 + 31.4935i 0.0920924 + 1.74695i
\(326\) 0.849915 + 1.47210i 0.0470724 + 0.0815318i
\(327\) 3.89429 14.5337i 0.215355 0.803716i
\(328\) 3.97066 + 2.29246i 0.219243 + 0.126580i
\(329\) −17.2635 16.9798i −0.951767 0.936128i
\(330\) 0.0804209 0.0804209i 0.00442702 0.00442702i
\(331\) 15.3983 15.3983i 0.846367 0.846367i −0.143311 0.989678i \(-0.545775\pi\)
0.989678 + 0.143311i \(0.0457750\pi\)
\(332\) −1.47884 5.51909i −0.0811617 0.302900i
\(333\) 1.48423 5.53924i 0.0813355 0.303548i
\(334\) 3.07198i 0.168091i
\(335\) −18.4584 + 31.9709i −1.00849 + 1.74676i
\(336\) −3.74847 + 6.61855i −0.204496 + 0.361072i
\(337\) 22.6556i 1.23413i −0.786912 0.617066i \(-0.788321\pi\)
0.786912 0.617066i \(-0.211679\pi\)
\(338\) −1.78601 4.64418i −0.0971462 0.252610i
\(339\) 4.35243 2.51288i 0.236392 0.136481i
\(340\) 28.6238 28.6238i 1.55234 1.55234i
\(341\) −0.152513 + 0.0880536i −0.00825906 + 0.00476837i
\(342\) −1.53698 2.66212i −0.0831101 0.143951i
\(343\) 0.460196 + 18.5145i 0.0248483 + 0.999691i
\(344\) −14.2264 3.81195i −0.767036 0.205527i
\(345\) 1.07063 + 1.07063i 0.0576409 + 0.0576409i
\(346\) 0.466978 + 0.125126i 0.0251049 + 0.00672683i
\(347\) −5.93541 + 10.2804i −0.318630 + 0.551883i −0.980202 0.197998i \(-0.936556\pi\)
0.661573 + 0.749881i \(0.269889\pi\)
\(348\) 1.19789 + 2.07481i 0.0642136 + 0.111221i
\(349\) 5.38273 + 20.0886i 0.288131 + 1.07532i 0.946521 + 0.322642i \(0.104571\pi\)
−0.658390 + 0.752677i \(0.728762\pi\)
\(350\) −6.21120 + 6.31496i −0.332002 + 0.337549i
\(351\) 15.1768 + 7.72709i 0.810078 + 0.412441i
\(352\) −0.181889 + 0.315041i −0.00969470 + 0.0167917i
\(353\) −19.7661 19.7661i −1.05204 1.05204i −0.998569 0.0534720i \(-0.982971\pi\)
−0.0534720 0.998569i \(-0.517029\pi\)
\(354\) −2.50482 −0.133130
\(355\) −37.7428 −2.00318
\(356\) −2.21400 2.21400i −0.117342 0.117342i
\(357\) −14.2573 + 0.118104i −0.754574 + 0.00625073i
\(358\) −0.167439 + 0.624890i −0.00884941 + 0.0330265i
\(359\) −15.1561 + 4.06106i −0.799907 + 0.214334i −0.635543 0.772065i \(-0.719224\pi\)
−0.164364 + 0.986400i \(0.552557\pi\)
\(360\) −10.2439 5.91434i −0.539903 0.311713i
\(361\) 5.21407i 0.274425i
\(362\) 3.07164 + 0.823042i 0.161442 + 0.0432581i
\(363\) −10.0564 −0.527826
\(364\) −7.89149 + 15.8225i −0.413627 + 0.829325i
\(365\) −33.9646 −1.77779
\(366\) 0.0431904 + 0.0115728i 0.00225760 + 0.000604922i
\(367\) 4.79215i 0.250148i −0.992147 0.125074i \(-0.960083\pi\)
0.992147 0.125074i \(-0.0399169\pi\)
\(368\) −1.21479 0.701358i −0.0633252 0.0365608i
\(369\) −6.49481 + 1.74028i −0.338106 + 0.0905953i
\(370\) 0.973774 3.63417i 0.0506241 0.188932i
\(371\) 28.9206 + 16.3794i 1.50148 + 0.850377i
\(372\) −2.41046 2.41046i −0.124976 0.124976i
\(373\) 1.88377 0.0975381 0.0487690 0.998810i \(-0.484470\pi\)
0.0487690 + 0.998810i \(0.484470\pi\)
\(374\) −0.197503 −0.0102126
\(375\) −8.98689 8.98689i −0.464081 0.464081i
\(376\) 6.74945 11.6904i 0.348076 0.602886i
\(377\) 2.77578 + 4.27145i 0.142960 + 0.219991i
\(378\) 1.27623 + 4.60987i 0.0656423 + 0.237106i
\(379\) −0.368612 1.37568i −0.0189343 0.0706638i 0.955812 0.293978i \(-0.0949792\pi\)
−0.974747 + 0.223314i \(0.928312\pi\)
\(380\) 12.7580 + 22.0975i 0.654472 + 1.13358i
\(381\) 7.78588 13.4855i 0.398882 0.690885i
\(382\) 7.62638 + 2.04348i 0.390199 + 0.104554i
\(383\) 7.73807 + 7.73807i 0.395397 + 0.395397i 0.876606 0.481209i \(-0.159802\pi\)
−0.481209 + 0.876606i \(0.659802\pi\)
\(384\) −8.92746 2.39211i −0.455578 0.122072i
\(385\) −0.859304 + 0.00711829i −0.0437942 + 0.000362782i
\(386\) −2.56581 4.44411i −0.130596 0.226199i
\(387\) 18.7056 10.7997i 0.950861 0.548980i
\(388\) −2.28939 + 2.28939i −0.116226 + 0.116226i
\(389\) −23.9984 + 13.8555i −1.21677 + 0.702502i −0.964225 0.265084i \(-0.914600\pi\)
−0.252544 + 0.967586i \(0.581267\pi\)
\(390\) 4.17151 + 2.12388i 0.211233 + 0.107547i
\(391\) 2.62933i 0.132971i
\(392\) −9.92709 + 2.83703i −0.501394 + 0.143292i
\(393\) 1.24425 2.15511i 0.0627643 0.108711i
\(394\) 6.32992i 0.318897i
\(395\) 3.37294 12.5880i 0.169711 0.633371i
\(396\) −0.0908997 0.339242i −0.00456788 0.0170476i
\(397\) 8.88831 8.88831i 0.446092 0.446092i −0.447961 0.894053i \(-0.647850\pi\)
0.894053 + 0.447961i \(0.147850\pi\)
\(398\) 3.50816 3.50816i 0.175848 0.175848i
\(399\) 2.25406 8.69989i 0.112844 0.435539i
\(400\) 23.8042 + 13.7434i 1.19021 + 0.687169i
\(401\) −6.40227 + 23.8936i −0.319714 + 1.19319i 0.599806 + 0.800146i \(0.295245\pi\)
−0.919520 + 0.393044i \(0.871422\pi\)
\(402\) 1.74327 + 3.01943i 0.0869462 + 0.150595i
\(403\) −5.38805 4.84842i −0.268398 0.241517i
\(404\) 10.9512 + 6.32267i 0.544842 + 0.314565i
\(405\) 7.76359 2.08025i 0.385776 0.103368i
\(406\) −0.358845 + 1.38502i −0.0178092 + 0.0687374i
\(407\) 0.201134 0.116125i 0.00996983 0.00575609i
\(408\) −2.05717 7.67746i −0.101845 0.380091i
\(409\) 11.0005 2.94757i 0.543939 0.145748i 0.0236214 0.999721i \(-0.492480\pi\)
0.520317 + 0.853973i \(0.325814\pi\)
\(410\) −4.26110 + 1.14176i −0.210441 + 0.0563875i
\(411\) −1.02000 3.80670i −0.0503130 0.187771i
\(412\) 16.0527 9.26805i 0.790861 0.456604i
\(413\) 13.4930 + 13.2712i 0.663945 + 0.653036i
\(414\) −0.356961 + 0.0956475i −0.0175437 + 0.00470082i
\(415\) 9.89837 + 5.71482i 0.485892 + 0.280530i
\(416\) −14.6464 3.10847i −0.718097 0.152405i
\(417\) −6.40439 11.0927i −0.313624 0.543213i
\(418\) 0.0322212 0.120251i 0.00157599 0.00588167i
\(419\) −25.2233 14.5627i −1.23224 0.711435i −0.264744 0.964319i \(-0.585288\pi\)
−0.967497 + 0.252884i \(0.918621\pi\)
\(420\) −4.43816 16.0311i −0.216560 0.782236i
\(421\) 24.9431 24.9431i 1.21565 1.21565i 0.246512 0.969140i \(-0.420715\pi\)
0.969140 0.246512i \(-0.0792845\pi\)
\(422\) −1.72700 + 1.72700i −0.0840691 + 0.0840691i
\(423\) 5.12372 + 19.1220i 0.249124 + 0.929743i
\(424\) −4.79556 + 17.8973i −0.232893 + 0.869168i
\(425\) 51.5228i 2.49922i
\(426\) −1.78227 + 3.08698i −0.0863513 + 0.149565i
\(427\) −0.171342 0.291176i −0.00829181 0.0140910i
\(428\) 0.111001i 0.00536543i
\(429\) 0.0893780 + 0.274790i 0.00431521 + 0.0132670i
\(430\) 12.2724 7.08545i 0.591826 0.341691i
\(431\) −2.31082 + 2.31082i −0.111308 + 0.111308i −0.760567 0.649259i \(-0.775079\pi\)
0.649259 + 0.760567i \(0.275079\pi\)
\(432\) 12.8547 7.42166i 0.618471 0.357075i
\(433\) 9.82888 + 17.0241i 0.472346 + 0.818127i 0.999499 0.0316430i \(-0.0100740\pi\)
−0.527153 + 0.849770i \(0.676741\pi\)
\(434\) −0.0168634 2.03572i −0.000809471 0.0977174i
\(435\) −4.62913 1.24037i −0.221950 0.0594713i
\(436\) −21.5554 21.5554i −1.03232 1.03232i
\(437\) 1.60089 + 0.428956i 0.0765807 + 0.0205197i
\(438\) −1.60386 + 2.77796i −0.0766353 + 0.132736i
\(439\) −18.9037 32.7422i −0.902226 1.56270i −0.824598 0.565719i \(-0.808599\pi\)
−0.0776279 0.996982i \(-0.524735\pi\)
\(440\) −0.123988 0.462731i −0.00591091 0.0220598i
\(441\) 7.35234 13.2363i 0.350111 0.630300i
\(442\) −2.51436 7.73033i −0.119596 0.367694i
\(443\) 2.31623 4.01183i 0.110047 0.190608i −0.805742 0.592267i \(-0.798233\pi\)
0.915789 + 0.401659i \(0.131566\pi\)
\(444\) 3.17890 + 3.17890i 0.150864 + 0.150864i
\(445\) 6.26326 0.296907
\(446\) −4.89856 −0.231954
\(447\) 5.93233 + 5.93233i 0.280589 + 0.280589i
\(448\) 6.30049 + 10.7069i 0.297670 + 0.505856i
\(449\) −3.43957 + 12.8367i −0.162324 + 0.605800i 0.836043 + 0.548664i \(0.184863\pi\)
−0.998366 + 0.0571356i \(0.981803\pi\)
\(450\) 6.99480 1.87425i 0.329738 0.0883530i
\(451\) −0.235831 0.136157i −0.0111049 0.00641140i
\(452\) 10.1821i 0.478928i
\(453\) −6.70741 1.79724i −0.315141 0.0844419i
\(454\) −4.53855 −0.213005
\(455\) −11.2182 33.5428i −0.525917 1.57251i
\(456\) 5.01008 0.234619
\(457\) 0.347873 + 0.0932123i 0.0162728 + 0.00436029i 0.266946 0.963711i \(-0.413985\pi\)
−0.250673 + 0.968072i \(0.580652\pi\)
\(458\) 6.04660i 0.282539i
\(459\) 24.0956 + 13.9116i 1.12468 + 0.649337i
\(460\) 2.96304 0.793943i 0.138152 0.0370178i
\(461\) 6.55396 24.4597i 0.305249 1.13920i −0.627483 0.778631i \(-0.715915\pi\)
0.932731 0.360573i \(-0.117419\pi\)
\(462\) −0.0399954 + 0.0706186i −0.00186075 + 0.00328547i
\(463\) 18.4801 + 18.4801i 0.858844 + 0.858844i 0.991202 0.132358i \(-0.0422548\pi\)
−0.132358 + 0.991202i \(0.542255\pi\)
\(464\) 4.43987 0.206116
\(465\) 6.81904 0.316225
\(466\) −3.62713 3.62713i −0.168024 0.168024i
\(467\) 15.6223 27.0587i 0.722916 1.25213i −0.236911 0.971531i \(-0.576135\pi\)
0.959826 0.280595i \(-0.0905318\pi\)
\(468\) 12.1208 7.87665i 0.560285 0.364098i
\(469\) 6.60715 25.5014i 0.305090 1.17754i
\(470\) 3.36156 + 12.5455i 0.155057 + 0.578682i
\(471\) 0.231360 + 0.400728i 0.0106605 + 0.0184646i
\(472\) −5.27530 + 9.13709i −0.242815 + 0.420569i
\(473\) 0.844955 + 0.226405i 0.0388511 + 0.0104101i
\(474\) −0.870296 0.870296i −0.0399740 0.0399740i
\(475\) −31.3700 8.40556i −1.43935 0.385673i
\(476\) −14.2353 + 25.1349i −0.652475 + 1.15206i
\(477\) −13.5864 23.5323i −0.622077 1.07747i
\(478\) −6.77498 + 3.91154i −0.309880 + 0.178909i
\(479\) 21.0688 21.0688i 0.962658 0.962658i −0.0366691 0.999327i \(-0.511675\pi\)
0.999327 + 0.0366691i \(0.0116748\pi\)
\(480\) 12.1987 7.04290i 0.556791 0.321463i
\(481\) 7.10574 + 6.39408i 0.323994 + 0.291545i
\(482\) 0.390709i 0.0177963i
\(483\) −0.940135 0.532453i −0.0427776 0.0242274i
\(484\) −10.1871 + 17.6447i −0.463052 + 0.802030i
\(485\) 6.47654i 0.294085i
\(486\) 1.60023 5.97213i 0.0725878 0.270901i
\(487\) −3.71106 13.8499i −0.168164 0.627597i −0.997615 0.0690178i \(-0.978013\pi\)
0.829451 0.558579i \(-0.188653\pi\)
\(488\) 0.133177 0.133177i 0.00602864 0.00602864i
\(489\) 2.87295 2.87295i 0.129920 0.129920i
\(490\) 4.82371 8.68404i 0.217913 0.392305i
\(491\) 16.5417 + 9.55034i 0.746515 + 0.431001i 0.824433 0.565959i \(-0.191494\pi\)
−0.0779183 + 0.996960i \(0.524827\pi\)
\(492\) 1.36428 5.09157i 0.0615066 0.229546i
\(493\) 4.16117 + 7.20736i 0.187410 + 0.324603i
\(494\) 5.11686 0.269741i 0.230218 0.0121362i
\(495\) 0.608423 + 0.351273i 0.0273466 + 0.0157886i
\(496\) −6.10213 + 1.63506i −0.273994 + 0.0734164i
\(497\) 25.9564 7.18597i 1.16431 0.322335i
\(498\) 0.934831 0.539725i 0.0418908 0.0241856i
\(499\) 5.97607 + 22.3030i 0.267526 + 0.998420i 0.960686 + 0.277636i \(0.0895511\pi\)
−0.693160 + 0.720783i \(0.743782\pi\)
\(500\) −24.8718 + 6.66437i −1.11230 + 0.298039i
\(501\) 7.09253 1.90044i 0.316871 0.0849053i
\(502\) 1.10846 + 4.13682i 0.0494729 + 0.184635i
\(503\) −10.9978 + 6.34957i −0.490367 + 0.283113i −0.724727 0.689036i \(-0.758034\pi\)
0.234360 + 0.972150i \(0.424701\pi\)
\(504\) 8.17100 + 2.11703i 0.363965 + 0.0942999i
\(505\) −24.4334 + 6.54690i −1.08727 + 0.291333i
\(506\) −0.0129615 0.00748334i −0.000576210 0.000332675i
\(507\) −9.61749 + 6.99656i −0.427128 + 0.310728i
\(508\) −15.7741 27.3216i −0.699864 1.21220i
\(509\) −2.81254 + 10.4965i −0.124663 + 0.465250i −0.999827 0.0185761i \(-0.994087\pi\)
0.875164 + 0.483826i \(0.160753\pi\)
\(510\) 6.62294 + 3.82375i 0.293269 + 0.169319i
\(511\) 23.3581 6.46663i 1.03330 0.286067i
\(512\) −15.7822 + 15.7822i −0.697483 + 0.697483i
\(513\) −12.4012 + 12.4012i −0.547525 + 0.547525i
\(514\) −0.933842 3.48515i −0.0411900 0.153723i
\(515\) −9.59673 + 35.8155i −0.422883 + 1.57822i
\(516\) 16.9327i 0.745422i
\(517\) −0.400874 + 0.694333i −0.0176304 + 0.0305367i
\(518\) 0.0222394 + 2.68469i 0.000977144 + 0.117959i
\(519\) 1.15556i 0.0507233i
\(520\) 16.5329 10.7438i 0.725017 0.471149i
\(521\) −28.6041 + 16.5146i −1.25317 + 0.723518i −0.971738 0.236064i \(-0.924143\pi\)
−0.281432 + 0.959581i \(0.590809\pi\)
\(522\) 0.827109 0.827109i 0.0362016 0.0362016i
\(523\) −13.5411 + 7.81797i −0.592112 + 0.341856i −0.765932 0.642922i \(-0.777722\pi\)
0.173820 + 0.984777i \(0.444389\pi\)
\(524\) −2.52085 4.36624i −0.110124 0.190740i
\(525\) 18.4223 + 10.4336i 0.804016 + 0.455360i
\(526\) 5.08247 + 1.36184i 0.221606 + 0.0593792i
\(527\) −8.37333 8.37333i −0.364748 0.364748i
\(528\) 0.243266 + 0.0651828i 0.0105868 + 0.00283672i
\(529\) −11.4004 + 19.7460i −0.495668 + 0.858523i
\(530\) −8.91372 15.4390i −0.387187 0.670628i
\(531\) −4.00465 14.9455i −0.173787 0.648581i
\(532\) −12.9811 12.7678i −0.562804 0.553556i
\(533\) 2.32692 10.9639i 0.100790 0.474899i
\(534\) 0.295760 0.512272i 0.0127988 0.0221682i
\(535\) 0.157007 + 0.157007i 0.00678802 + 0.00678802i
\(536\) 14.6857 0.634325
\(537\) 1.54632 0.0667285
\(538\) 6.38313 + 6.38313i 0.275196 + 0.275196i
\(539\) 0.589604 0.168501i 0.0253961 0.00725785i
\(540\) −8.40138 + 31.3544i −0.361538 + 1.34928i
\(541\) −11.8945 + 3.18712i −0.511384 + 0.137025i −0.505278 0.862956i \(-0.668610\pi\)
−0.00610564 + 0.999981i \(0.501943\pi\)
\(542\) −3.01327 1.73971i −0.129431 0.0747271i
\(543\) 7.60089i 0.326185i
\(544\) −23.6274 6.33094i −1.01302 0.271437i
\(545\) 60.9789 2.61205
\(546\) −3.27320 0.666402i −0.140080 0.0285194i
\(547\) 3.99754 0.170922 0.0854611 0.996342i \(-0.472764\pi\)
0.0854611 + 0.996342i \(0.472764\pi\)
\(548\) −7.71234 2.06652i −0.329455 0.0882772i
\(549\) 0.276207i 0.0117882i
\(550\) 0.253986 + 0.146639i 0.0108300 + 0.00625271i
\(551\) −5.06711 + 1.35773i −0.215866 + 0.0578412i
\(552\) 0.155891 0.581794i 0.00663517 0.0247628i
\(553\) 0.0770325 + 9.29919i 0.00327576 + 0.395442i
\(554\) 3.42711 + 3.42711i 0.145604 + 0.145604i
\(555\) −8.99291 −0.381728
\(556\) −25.9505 −1.10055
\(557\) −9.05467 9.05467i −0.383659 0.383659i 0.488760 0.872418i \(-0.337449\pi\)
−0.872418 + 0.488760i \(0.837449\pi\)
\(558\) −0.832177 + 1.44137i −0.0352288 + 0.0610181i
\(559\) 1.89536 + 35.9541i 0.0801653 + 1.52070i
\(560\) −29.8410 7.73152i −1.26101 0.326717i
\(561\) 0.122182 + 0.455991i 0.00515855 + 0.0192520i
\(562\) −6.38443 11.0581i −0.269311 0.466460i
\(563\) −5.02369 + 8.70129i −0.211723 + 0.366716i −0.952254 0.305307i \(-0.901241\pi\)
0.740531 + 0.672023i \(0.234574\pi\)
\(564\) −14.9906 4.01671i −0.631217 0.169134i
\(565\) 14.4023 + 14.4023i 0.605911 + 0.605911i
\(566\) −8.44371 2.26249i −0.354916 0.0950993i
\(567\) −4.94311 + 2.90876i −0.207591 + 0.122157i
\(568\) 7.50713 + 13.0027i 0.314992 + 0.545583i
\(569\) 5.10535 2.94758i 0.214027 0.123569i −0.389154 0.921173i \(-0.627233\pi\)
0.603182 + 0.797604i \(0.293899\pi\)
\(570\) −3.40860 + 3.40860i −0.142771 + 0.142771i
\(571\) −0.761139 + 0.439444i −0.0318527 + 0.0183901i −0.515842 0.856684i \(-0.672521\pi\)
0.483989 + 0.875074i \(0.339187\pi\)
\(572\) 0.572675 + 0.121542i 0.0239447 + 0.00508191i
\(573\) 18.8718i 0.788380i
\(574\) 2.71306 1.59649i 0.113241 0.0666364i
\(575\) −1.95218 + 3.38128i −0.0814117 + 0.141009i
\(576\) 10.1565i 0.423189i
\(577\) −0.0403629 + 0.150636i −0.00168033 + 0.00627107i −0.966761 0.255682i \(-0.917700\pi\)
0.965081 + 0.261953i \(0.0843666\pi\)
\(578\) −1.75314 6.54280i −0.0729209 0.272144i
\(579\) −8.67316 + 8.67316i −0.360444 + 0.360444i
\(580\) −6.86560 + 6.86560i −0.285079 + 0.285079i
\(581\) −7.89536 2.04561i −0.327555 0.0848662i
\(582\) −0.529716 0.305832i −0.0219574 0.0126771i
\(583\) 0.284825 1.06298i 0.0117962 0.0440242i
\(584\) 6.75564 + 11.7011i 0.279550 + 0.484195i
\(585\) −6.00324 + 28.2858i −0.248204 + 1.16947i
\(586\) −3.97256 2.29356i −0.164105 0.0947460i
\(587\) 38.7558 10.3846i 1.59962 0.428617i 0.654693 0.755895i \(-0.272798\pi\)
0.944928 + 0.327278i \(0.106131\pi\)
\(588\) 6.10442 + 10.1799i 0.251742 + 0.419811i
\(589\) 6.46420 3.73211i 0.266353 0.153779i
\(590\) −2.62736 9.80544i −0.108167 0.403684i
\(591\) 14.6144 3.91591i 0.601155 0.161079i
\(592\) 8.04746 2.15631i 0.330749 0.0886238i
\(593\) −0.627863 2.34322i −0.0257833 0.0962244i 0.951835 0.306610i \(-0.0991947\pi\)
−0.977618 + 0.210386i \(0.932528\pi\)
\(594\) 0.137157 0.0791875i 0.00562761 0.00324910i
\(595\) −15.4171 55.6880i −0.632039 2.28298i
\(596\) 16.4181 4.39921i 0.672510 0.180199i
\(597\) −10.2698 5.92928i −0.420316 0.242669i
\(598\) 0.127890 0.602586i 0.00522981 0.0246416i
\(599\) 5.34796 + 9.26293i 0.218512 + 0.378473i 0.954353 0.298681i \(-0.0965465\pi\)
−0.735842 + 0.677154i \(0.763213\pi\)
\(600\) −3.05475 + 11.4005i −0.124710 + 0.465422i
\(601\) 30.2246 + 17.4502i 1.23289 + 0.711807i 0.967630 0.252371i \(-0.0812104\pi\)
0.265255 + 0.964178i \(0.414544\pi\)
\(602\) −7.09091 + 7.20937i −0.289004 + 0.293832i
\(603\) −15.2290 + 15.2290i −0.620171 + 0.620171i
\(604\) −9.94796 + 9.94796i −0.404777 + 0.404777i
\(605\) −10.5484 39.3673i −0.428854 1.60051i
\(606\) −0.618308 + 2.30756i −0.0251171 + 0.0937381i
\(607\) 14.7671i 0.599379i −0.954037 0.299690i \(-0.903117\pi\)
0.954037 0.299690i \(-0.0968831\pi\)
\(608\) 7.70927 13.3528i 0.312652 0.541529i
\(609\) 3.41970 0.0283281i 0.138573 0.00114791i
\(610\) 0.181214i 0.00733712i
\(611\) −32.2798 6.85091i −1.30590 0.277158i
\(612\) 20.4519 11.8079i 0.826718 0.477306i
\(613\) −9.65922 + 9.65922i −0.390132 + 0.390132i −0.874734 0.484602i \(-0.838964\pi\)
0.484602 + 0.874734i \(0.338964\pi\)
\(614\) 8.89925 5.13798i 0.359145 0.207352i
\(615\) 5.27214 + 9.13161i 0.212593 + 0.368222i
\(616\) 0.173370 + 0.294622i 0.00698527 + 0.0118707i
\(617\) −14.8331 3.97453i −0.597160 0.160008i −0.0524363 0.998624i \(-0.516699\pi\)
−0.544723 + 0.838616i \(0.683365\pi\)
\(618\) 2.47618 + 2.47618i 0.0996065 + 0.0996065i
\(619\) 4.55397 + 1.22023i 0.183039 + 0.0490453i 0.349174 0.937058i \(-0.386462\pi\)
−0.166135 + 0.986103i \(0.553129\pi\)
\(620\) 6.90766 11.9644i 0.277418 0.480503i
\(621\) 1.05421 + 1.82595i 0.0423041 + 0.0732728i
\(622\) 2.95191 + 11.0167i 0.118361 + 0.441728i
\(623\) −4.30736 + 1.19248i −0.172571 + 0.0477758i
\(624\) 0.545682 + 10.3513i 0.0218448 + 0.414384i
\(625\) 3.88665 6.73187i 0.155466 0.269275i
\(626\) 4.42576 + 4.42576i 0.176889 + 0.176889i
\(627\) −0.297566 −0.0118837
\(628\) 0.937469 0.0374091
\(629\) 11.0427 + 11.0427i 0.440302 + 0.440302i
\(630\) −6.99944 + 4.11881i −0.278864 + 0.164097i
\(631\) −4.57205 + 17.0631i −0.182011 + 0.679273i 0.813240 + 0.581928i \(0.197702\pi\)
−0.995251 + 0.0973445i \(0.968965\pi\)
\(632\) −5.00757 + 1.34177i −0.199190 + 0.0533729i
\(633\) 5.05565 + 2.91888i 0.200944 + 0.116015i
\(634\) 6.53665i 0.259603i
\(635\) 60.9576 + 16.3336i 2.41903 + 0.648177i
\(636\) 21.3019 0.844676
\(637\) 14.1013 + 20.9321i 0.558713 + 0.829361i
\(638\) 0.0473725 0.00187549
\(639\) −21.2686 5.69890i −0.841372 0.225445i
\(640\) 37.4568i 1.48061i
\(641\) −32.2289 18.6074i −1.27297 0.734948i −0.297421 0.954746i \(-0.596127\pi\)
−0.975545 + 0.219799i \(0.929460\pi\)
\(642\) 0.0202557 0.00542751i 0.000799431 0.000214207i
\(643\) −2.17224 + 8.10691i −0.0856648 + 0.319705i −0.995439 0.0953976i \(-0.969588\pi\)
0.909774 + 0.415103i \(0.136254\pi\)
\(644\) −1.88657 + 1.11015i −0.0743415 + 0.0437461i
\(645\) −23.9508 23.9508i −0.943064 0.943064i
\(646\) 8.37108 0.329356
\(647\) 25.8444 1.01605 0.508024 0.861343i \(-0.330376\pi\)
0.508024 + 0.861343i \(0.330376\pi\)
\(648\) −2.26086 2.26086i −0.0888151 0.0888151i
\(649\) 0.313319 0.542684i 0.0122988 0.0213022i
\(650\) −2.50605 + 11.8079i −0.0982955 + 0.463144i
\(651\) −4.68958 + 1.29830i −0.183799 + 0.0508844i
\(652\) −2.13048 7.95107i −0.0834362 0.311388i
\(653\) −16.0054 27.7222i −0.626341 1.08486i −0.988280 0.152653i \(-0.951218\pi\)
0.361938 0.932202i \(-0.382115\pi\)
\(654\) 2.87951 4.98746i 0.112598 0.195025i
\(655\) 9.74159 + 2.61025i 0.380636 + 0.101991i
\(656\) −6.90743 6.90743i −0.269690 0.269690i
\(657\) −19.1395 5.12842i −0.746703 0.200079i
\(658\) −4.70039 7.98777i −0.183240 0.311396i
\(659\) 1.93932 + 3.35900i 0.0755452 + 0.130848i 0.901323 0.433147i \(-0.142597\pi\)
−0.825778 + 0.563995i \(0.809264\pi\)
\(660\) −0.476970 + 0.275379i −0.0185660 + 0.0107191i
\(661\) −6.57103 + 6.57103i −0.255583 + 0.255583i −0.823255 0.567672i \(-0.807844\pi\)
0.567672 + 0.823255i \(0.307844\pi\)
\(662\) 7.21829 4.16748i 0.280547 0.161974i
\(663\) −16.2921 + 10.5874i −0.632734 + 0.411179i
\(664\) 4.54677i 0.176449i
\(665\) 36.4212 0.301705i 1.41235 0.0116996i
\(666\) 1.09747 1.90087i 0.0425261 0.0736574i
\(667\) 0.630663i 0.0244194i
\(668\) 3.85027 14.3694i 0.148972 0.555969i
\(669\) 3.03042 + 11.3097i 0.117163 + 0.437258i
\(670\) −9.99138 + 9.99138i −0.386001 + 0.386001i
\(671\) −0.00790985 + 0.00790985i −0.000305356 + 0.000305356i
\(672\) −7.04834 + 7.16608i −0.271895 + 0.276438i
\(673\) 24.3896 + 14.0814i 0.940151 + 0.542797i 0.890008 0.455945i \(-0.150699\pi\)
0.0501436 + 0.998742i \(0.484032\pi\)
\(674\) 2.24434 8.37600i 0.0864488 0.322631i
\(675\) −20.6577 35.7802i −0.795115 1.37718i
\(676\) 2.53341 + 23.9620i 0.0974388 + 0.921614i
\(677\) −24.5782 14.1902i −0.944617 0.545375i −0.0532122 0.998583i \(-0.516946\pi\)
−0.891405 + 0.453209i \(0.850279\pi\)
\(678\) 1.85807 0.497868i 0.0713586 0.0191205i
\(679\) 1.23309 + 4.45404i 0.0473217 + 0.170930i
\(680\) 27.8966 16.1061i 1.06979 0.617641i
\(681\) 2.80771 + 10.4785i 0.107592 + 0.401537i
\(682\) −0.0651085 + 0.0174458i −0.00249313 + 0.000668033i
\(683\) −23.6020 + 6.32413i −0.903104 + 0.241986i −0.680349 0.732888i \(-0.738172\pi\)
−0.222755 + 0.974874i \(0.571505\pi\)
\(684\) 3.85274 + 14.3786i 0.147313 + 0.549780i
\(685\) 13.8319 7.98586i 0.528490 0.305124i
\(686\) −1.66397 + 6.89058i −0.0635308 + 0.263084i
\(687\) 13.9603 3.74064i 0.532617 0.142714i
\(688\) 27.1757 + 15.6899i 1.03606 + 0.598172i
\(689\) 45.2314 2.38443i 1.72318 0.0908395i
\(690\) 0.289762 + 0.501883i 0.0110311 + 0.0191063i
\(691\) 8.39671 31.3370i 0.319426 1.19211i −0.600372 0.799721i \(-0.704981\pi\)
0.919798 0.392393i \(-0.128353\pi\)
\(692\) −2.02749 1.17057i −0.0770738 0.0444986i
\(693\) −0.485304 0.125738i −0.0184352 0.00477638i
\(694\) −3.21279 + 3.21279i −0.121956 + 0.121956i
\(695\) 36.7062 36.7062i 1.39235 1.39235i
\(696\) 0.493426 + 1.84149i 0.0187033 + 0.0698015i
\(697\) 4.73918 17.6869i 0.179509 0.669937i
\(698\) 7.96018i 0.301297i
\(699\) −6.13037 + 10.6181i −0.231872 + 0.401614i
\(700\) 36.9682 21.7539i 1.39727 0.822219i
\(701\) 49.4461i 1.86755i 0.357856 + 0.933777i \(0.383508\pi\)
−0.357856 + 0.933777i \(0.616492\pi\)
\(702\) 4.84553 + 4.36024i 0.182883 + 0.164567i
\(703\) −8.52496 + 4.92189i −0.321525 + 0.185632i
\(704\) 0.290857 0.290857i 0.0109621 0.0109621i
\(705\) 26.8852 15.5222i 1.01256 0.584600i
\(706\) −5.34960 9.26578i −0.201335 0.348722i
\(707\) 15.5568 9.15437i 0.585074 0.344286i
\(708\) 11.7165 + 3.13942i 0.440332 + 0.117987i
\(709\) −12.5987 12.5987i −0.473154 0.473154i 0.429780 0.902934i \(-0.358591\pi\)
−0.902934 + 0.429780i \(0.858591\pi\)
\(710\) −13.9539 3.73892i −0.523679 0.140319i
\(711\) 3.80140 6.58422i 0.142564 0.246927i
\(712\) −1.24578 2.15775i −0.0466875 0.0808651i
\(713\) −0.232253 0.866779i −0.00869794 0.0324611i
\(714\) −5.28274 1.36871i −0.197701 0.0512225i
\(715\) −0.981949 + 0.638115i −0.0367228 + 0.0238641i
\(716\) 1.56641 2.71311i 0.0585396 0.101394i
\(717\) 13.2221 + 13.2221i 0.493789 + 0.493789i
\(718\) −6.00564 −0.224129
\(719\) −27.8337 −1.03802 −0.519011 0.854768i \(-0.673700\pi\)
−0.519011 + 0.854768i \(0.673700\pi\)
\(720\) 17.8205 + 17.8205i 0.664132 + 0.664132i
\(721\) −0.219174 26.4582i −0.00816246 0.985353i
\(722\) 0.516523 1.92769i 0.0192230 0.0717412i
\(723\) −0.902062 + 0.241707i −0.0335480 + 0.00898917i
\(724\) −13.3362 7.69968i −0.495637 0.286156i
\(725\) 12.3581i 0.458968i
\(726\) −3.71796 0.996224i −0.137986 0.0369734i
\(727\) −47.3797 −1.75722 −0.878608 0.477544i \(-0.841527\pi\)
−0.878608 + 0.477544i \(0.841527\pi\)
\(728\) −9.32446 + 10.5365i −0.345587 + 0.390509i
\(729\) −8.27491 −0.306478
\(730\) −12.5570 3.36464i −0.464756 0.124531i
\(731\) 58.8201i 2.17554i
\(732\) −0.187521 0.108266i −0.00693099 0.00400161i
\(733\) 28.9167 7.74821i 1.06806 0.286187i 0.318366 0.947968i \(-0.396866\pi\)
0.749697 + 0.661781i \(0.230199\pi\)
\(734\) 0.474726 1.77170i 0.0175225 0.0653947i
\(735\) −23.0336 5.76462i −0.849609 0.212631i
\(736\) −1.31072 1.31072i −0.0483136 0.0483136i
\(737\) −0.872234 −0.0321292
\(738\) −2.57359 −0.0947351
\(739\) 8.96526 + 8.96526i 0.329792 + 0.329792i 0.852507 0.522715i \(-0.175081\pi\)
−0.522715 + 0.852507i \(0.675081\pi\)
\(740\) −9.10979 + 15.7786i −0.334883 + 0.580034i
\(741\) −3.78824 11.6468i −0.139165 0.427857i
\(742\) 9.06962 + 8.92060i 0.332956 + 0.327485i
\(743\) −5.17566 19.3158i −0.189877 0.708629i −0.993534 0.113537i \(-0.963782\pi\)
0.803657 0.595093i \(-0.202885\pi\)
\(744\) −1.35632 2.34922i −0.0497252 0.0861266i
\(745\) −17.0003 + 29.4454i −0.622843 + 1.07880i
\(746\) 0.696448 + 0.186613i 0.0254988 + 0.00683238i
\(747\) 4.71497 + 4.71497i 0.172512 + 0.172512i
\(748\) 0.923835 + 0.247541i 0.0337788 + 0.00905099i
\(749\) −0.137870 0.0780838i −0.00503766 0.00285312i
\(750\) −2.43227 4.21281i −0.0888138 0.153830i
\(751\) −27.6527 + 15.9653i −1.00906 + 0.582582i −0.910917 0.412590i \(-0.864624\pi\)
−0.0981449 + 0.995172i \(0.531291\pi\)
\(752\) −20.3368 + 20.3368i −0.741607 + 0.741607i
\(753\) 8.86527 5.11837i 0.323068 0.186524i
\(754\) 0.603087 + 1.85417i 0.0219631 + 0.0675249i
\(755\) 28.1422i 1.02420i
\(756\) −0.191874 23.1626i −0.00697839 0.842414i
\(757\) 0.983838 1.70406i 0.0357582 0.0619350i −0.847592 0.530648i \(-0.821949\pi\)
0.883351 + 0.468713i \(0.155282\pi\)
\(758\) 0.545116i 0.0197995i
\(759\) −0.00925892 + 0.0345548i −0.000336077 + 0.00125426i
\(760\) 5.25518 + 19.6126i 0.190626 + 0.711424i
\(761\) −4.91715 + 4.91715i −0.178246 + 0.178246i −0.790591 0.612345i \(-0.790227\pi\)
0.612345 + 0.790591i \(0.290227\pi\)
\(762\) 4.21443 4.21443i 0.152673 0.152673i
\(763\) −41.9363 + 11.6100i −1.51820 + 0.420309i
\(764\) −33.1117 19.1171i −1.19794 0.691631i
\(765\) −12.2266 + 45.6305i −0.442055 + 1.64977i
\(766\) 2.09428 + 3.62739i 0.0756693 + 0.131063i
\(767\) 25.2296 + 5.35460i 0.910987 + 0.193343i
\(768\) 4.37684 + 2.52697i 0.157936 + 0.0911843i
\(769\) −2.45316 + 0.657322i −0.0884631 + 0.0237036i −0.302779 0.953061i \(-0.597914\pi\)
0.214316 + 0.976764i \(0.431248\pi\)
\(770\) −0.318398 0.0824937i −0.0114743 0.00297287i
\(771\) −7.46873 + 4.31207i −0.268980 + 0.155295i
\(772\) 6.43171 + 24.0035i 0.231482 + 0.863904i
\(773\) −8.31412 + 2.22776i −0.299038 + 0.0801270i −0.405218 0.914220i </