Properties

Label 400.2.bm.a.123.19
Level $400$
Weight $2$
Character 400.123
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 123.19
Character \(\chi\) \(=\) 400.123
Dual form 400.2.bm.a.387.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.731336 + 1.21043i) q^{2} +(2.47039 + 0.802680i) q^{3} +(-0.930297 - 1.77047i) q^{4} +(2.21235 + 0.324824i) q^{5} +(-2.77828 + 2.40322i) q^{6} +(-0.345636 + 0.345636i) q^{7} +(2.82339 + 0.168743i) q^{8} +(3.03150 + 2.20252i) q^{9} +O(q^{10})\) \(q+(-0.731336 + 1.21043i) q^{2} +(2.47039 + 0.802680i) q^{3} +(-0.930297 - 1.77047i) q^{4} +(2.21235 + 0.324824i) q^{5} +(-2.77828 + 2.40322i) q^{6} +(-0.345636 + 0.345636i) q^{7} +(2.82339 + 0.168743i) q^{8} +(3.03150 + 2.20252i) q^{9} +(-2.01115 + 2.44035i) q^{10} +(0.0590135 - 0.372596i) q^{11} +(-0.877083 - 5.12048i) q^{12} +(-1.02336 - 0.743514i) q^{13} +(-0.165593 - 0.671144i) q^{14} +(5.20465 + 2.57825i) q^{15} +(-2.26910 + 3.29412i) q^{16} +(-3.12352 - 1.59151i) q^{17} +(-4.88305 + 2.05865i) q^{18} +(5.22229 + 2.66089i) q^{19} +(-1.48305 - 4.21907i) q^{20} +(-1.13129 + 0.576422i) q^{21} +(0.407844 + 0.343925i) q^{22} +(-1.29389 - 0.204932i) q^{23} +(6.83944 + 2.68314i) q^{24} +(4.78898 + 1.43725i) q^{25} +(1.64839 - 0.694950i) q^{26} +(1.14073 + 1.57008i) q^{27} +(0.933480 + 0.290392i) q^{28} +(3.65318 - 1.86139i) q^{29} +(-6.92715 + 4.41431i) q^{30} +(-5.97506 + 1.94142i) q^{31} +(-2.32784 - 5.15569i) q^{32} +(0.444862 - 0.873091i) q^{33} +(4.21076 - 2.61688i) q^{34} +(-0.876938 + 0.652396i) q^{35} +(1.07928 - 7.41617i) q^{36} +(-5.49014 - 3.98882i) q^{37} +(-7.04007 + 4.37523i) q^{38} +(-1.93130 - 2.65820i) q^{39} +(6.19151 + 1.29042i) q^{40} +(-0.583190 + 0.802693i) q^{41} +(0.129634 - 1.79091i) q^{42} +2.14145 q^{43} +(-0.714569 + 0.242144i) q^{44} +(5.99132 + 5.85744i) q^{45} +(1.19432 - 1.41629i) q^{46} +(-6.02758 + 3.07121i) q^{47} +(-8.24968 + 6.31641i) q^{48} +6.76107i q^{49} +(-5.24204 + 4.74563i) q^{50} +(-6.43886 - 6.43886i) q^{51} +(-0.364338 + 2.50351i) q^{52} +(-11.7526 - 3.81866i) q^{53} +(-2.73474 + 0.232523i) q^{54} +(0.251587 - 0.805145i) q^{55} +(-1.03419 + 0.917540i) q^{56} +(10.7653 + 10.7653i) q^{57} +(-0.418614 + 5.78323i) q^{58} +(-1.23986 - 7.82817i) q^{59} +(-0.277157 - 11.6132i) q^{60} +(1.56187 - 9.86129i) q^{61} +(2.01982 - 8.65224i) q^{62} +(-1.80906 + 0.286528i) q^{63} +(7.94305 + 0.952852i) q^{64} +(-2.02252 - 1.97732i) q^{65} +(0.731475 + 1.17700i) q^{66} +(4.23760 + 13.0420i) q^{67} +(0.0880814 + 7.01067i) q^{68} +(-3.03192 - 1.54484i) q^{69} +(-0.148346 - 1.53859i) q^{70} +(-4.08609 + 12.5757i) q^{71} +(8.18746 + 6.73011i) q^{72} +(0.767515 - 4.84590i) q^{73} +(8.84334 - 3.72828i) q^{74} +(10.6770 + 7.39459i) q^{75} +(-0.147265 - 11.7213i) q^{76} +(0.108385 + 0.149180i) q^{77} +(4.63000 - 0.393668i) q^{78} +(3.47709 - 10.7014i) q^{79} +(-6.09004 + 6.55068i) q^{80} +(-1.91601 - 5.89687i) q^{81} +(-0.545098 - 1.29295i) q^{82} +(7.86851 - 2.55663i) q^{83} +(2.07297 + 1.46667i) q^{84} +(-6.39336 - 4.53558i) q^{85} +(-1.56612 + 2.59208i) q^{86} +(10.5189 - 1.66603i) q^{87} +(0.229491 - 1.04203i) q^{88} +(-2.35276 + 1.70938i) q^{89} +(-11.4717 + 2.96833i) q^{90} +(0.610694 - 0.0967245i) q^{91} +(0.840874 + 2.48143i) q^{92} -16.3191 q^{93} +(0.690695 - 9.54207i) q^{94} +(10.6892 + 7.58314i) q^{95} +(-1.61230 - 14.6051i) q^{96} +(-7.35410 - 14.4332i) q^{97} +(-8.18383 - 4.94461i) q^{98} +(0.999550 - 0.999550i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{11}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.731336 + 1.21043i −0.517132 + 0.855905i
\(3\) 2.47039 + 0.802680i 1.42628 + 0.463427i 0.917593 0.397522i \(-0.130130\pi\)
0.508690 + 0.860949i \(0.330130\pi\)
\(4\) −0.930297 1.77047i −0.465148 0.885233i
\(5\) 2.21235 + 0.324824i 0.989393 + 0.145266i
\(6\) −2.77828 + 2.40322i −1.13423 + 0.981110i
\(7\) −0.345636 + 0.345636i −0.130638 + 0.130638i −0.769402 0.638764i \(-0.779446\pi\)
0.638764 + 0.769402i \(0.279446\pi\)
\(8\) 2.82339 + 0.168743i 0.998219 + 0.0596595i
\(9\) 3.03150 + 2.20252i 1.01050 + 0.734172i
\(10\) −2.01115 + 2.44035i −0.635981 + 0.771705i
\(11\) 0.0590135 0.372596i 0.0177932 0.112342i −0.977193 0.212352i \(-0.931888\pi\)
0.994986 + 0.100010i \(0.0318876\pi\)
\(12\) −0.877083 5.12048i −0.253192 1.47816i
\(13\) −1.02336 0.743514i −0.283829 0.206214i 0.436757 0.899580i \(-0.356127\pi\)
−0.720586 + 0.693366i \(0.756127\pi\)
\(14\) −0.165593 0.671144i −0.0442566 0.179371i
\(15\) 5.20465 + 2.57825i 1.34383 + 0.665702i
\(16\) −2.26910 + 3.29412i −0.567274 + 0.823529i
\(17\) −3.12352 1.59151i −0.757565 0.385999i 0.0321414 0.999483i \(-0.489767\pi\)
−0.789707 + 0.613485i \(0.789767\pi\)
\(18\) −4.88305 + 2.05865i −1.15095 + 0.485230i
\(19\) 5.22229 + 2.66089i 1.19807 + 0.610450i 0.935111 0.354356i \(-0.115300\pi\)
0.262964 + 0.964806i \(0.415300\pi\)
\(20\) −1.48305 4.21907i −0.331620 0.943413i
\(21\) −1.13129 + 0.576422i −0.246868 + 0.125786i
\(22\) 0.407844 + 0.343925i 0.0869527 + 0.0733250i
\(23\) −1.29389 0.204932i −0.269794 0.0427312i 0.0200715 0.999799i \(-0.493611\pi\)
−0.289866 + 0.957067i \(0.593611\pi\)
\(24\) 6.83944 + 2.68314i 1.39609 + 0.547693i
\(25\) 4.78898 + 1.43725i 0.957796 + 0.287450i
\(26\) 1.64839 0.694950i 0.323276 0.136291i
\(27\) 1.14073 + 1.57008i 0.219534 + 0.302163i
\(28\) 0.933480 + 0.290392i 0.176411 + 0.0548790i
\(29\) 3.65318 1.86139i 0.678378 0.345651i −0.0806190 0.996745i \(-0.525690\pi\)
0.758997 + 0.651094i \(0.225690\pi\)
\(30\) −6.92715 + 4.41431i −1.26472 + 0.805939i
\(31\) −5.97506 + 1.94142i −1.07315 + 0.348688i −0.791715 0.610891i \(-0.790811\pi\)
−0.281438 + 0.959579i \(0.590811\pi\)
\(32\) −2.32784 5.15569i −0.411507 0.911406i
\(33\) 0.444862 0.873091i 0.0774406 0.151986i
\(34\) 4.21076 2.61688i 0.722140 0.448792i
\(35\) −0.876938 + 0.652396i −0.148230 + 0.110275i
\(36\) 1.07928 7.41617i 0.179880 1.23603i
\(37\) −5.49014 3.98882i −0.902574 0.655758i 0.0365518 0.999332i \(-0.488363\pi\)
−0.939126 + 0.343573i \(0.888363\pi\)
\(38\) −7.04007 + 4.37523i −1.14205 + 0.709756i
\(39\) −1.93130 2.65820i −0.309255 0.425653i
\(40\) 6.19151 + 1.29042i 0.978964 + 0.204034i
\(41\) −0.583190 + 0.802693i −0.0910790 + 0.125360i −0.852125 0.523339i \(-0.824686\pi\)
0.761046 + 0.648698i \(0.224686\pi\)
\(42\) 0.129634 1.79091i 0.0200029 0.276343i
\(43\) 2.14145 0.326568 0.163284 0.986579i \(-0.447791\pi\)
0.163284 + 0.986579i \(0.447791\pi\)
\(44\) −0.714569 + 0.242144i −0.107725 + 0.0365046i
\(45\) 5.99132 + 5.85744i 0.893133 + 0.873176i
\(46\) 1.19432 1.41629i 0.176093 0.208821i
\(47\) −6.02758 + 3.07121i −0.879213 + 0.447981i −0.834493 0.551018i \(-0.814240\pi\)
−0.0447199 + 0.999000i \(0.514240\pi\)
\(48\) −8.24968 + 6.31641i −1.19074 + 0.911695i
\(49\) 6.76107i 0.965867i
\(50\) −5.24204 + 4.74563i −0.741337 + 0.671133i
\(51\) −6.43886 6.43886i −0.901620 0.901620i
\(52\) −0.364338 + 2.50351i −0.0505246 + 0.347175i
\(53\) −11.7526 3.81866i −1.61435 0.524533i −0.643747 0.765238i \(-0.722621\pi\)
−0.970598 + 0.240705i \(0.922621\pi\)
\(54\) −2.73474 + 0.232523i −0.372151 + 0.0316423i
\(55\) 0.251587 0.805145i 0.0339240 0.108566i
\(56\) −1.03419 + 0.917540i −0.138199 + 0.122611i
\(57\) 10.7653 + 10.7653i 1.42589 + 1.42589i
\(58\) −0.418614 + 5.78323i −0.0549667 + 0.759375i
\(59\) −1.23986 7.82817i −0.161416 1.01914i −0.926797 0.375563i \(-0.877449\pi\)
0.765381 0.643577i \(-0.222551\pi\)
\(60\) −0.277157 11.6132i −0.0357809 1.49926i
\(61\) 1.56187 9.86129i 0.199978 1.26261i −0.659605 0.751612i \(-0.729277\pi\)
0.859583 0.510996i \(-0.170723\pi\)
\(62\) 2.01982 8.65224i 0.256518 1.09884i
\(63\) −1.80906 + 0.286528i −0.227921 + 0.0360991i
\(64\) 7.94305 + 0.952852i 0.992881 + 0.119106i
\(65\) −2.02252 1.97732i −0.250862 0.245257i
\(66\) 0.731475 + 1.17700i 0.0900384 + 0.144879i
\(67\) 4.23760 + 13.0420i 0.517705 + 1.59333i 0.778306 + 0.627885i \(0.216079\pi\)
−0.260601 + 0.965447i \(0.583921\pi\)
\(68\) 0.0880814 + 7.01067i 0.0106814 + 0.850168i
\(69\) −3.03192 1.54484i −0.365000 0.185977i
\(70\) −0.148346 1.53859i −0.0177307 0.183897i
\(71\) −4.08609 + 12.5757i −0.484929 + 1.49246i 0.347154 + 0.937808i \(0.387148\pi\)
−0.832083 + 0.554651i \(0.812852\pi\)
\(72\) 8.18746 + 6.73011i 0.964901 + 0.793151i
\(73\) 0.767515 4.84590i 0.0898308 0.567169i −0.901186 0.433432i \(-0.857302\pi\)
0.991017 0.133737i \(-0.0426977\pi\)
\(74\) 8.84334 3.72828i 1.02802 0.433404i
\(75\) 10.6770 + 7.39459i 1.23288 + 0.853854i
\(76\) −0.147265 11.7213i −0.0168925 1.34452i
\(77\) 0.108385 + 0.149180i 0.0123517 + 0.0170006i
\(78\) 4.63000 0.393668i 0.524245 0.0445741i
\(79\) 3.47709 10.7014i 0.391203 1.20400i −0.540676 0.841231i \(-0.681832\pi\)
0.931879 0.362769i \(-0.118168\pi\)
\(80\) −6.09004 + 6.55068i −0.680887 + 0.732388i
\(81\) −1.91601 5.89687i −0.212890 0.655208i
\(82\) −0.545098 1.29295i −0.0601960 0.142783i
\(83\) 7.86851 2.55663i 0.863682 0.280627i 0.156516 0.987675i \(-0.449974\pi\)
0.707165 + 0.707048i \(0.249974\pi\)
\(84\) 2.07297 + 1.46667i 0.226180 + 0.160027i
\(85\) −6.39336 4.53558i −0.693457 0.491953i
\(86\) −1.56612 + 2.59208i −0.168879 + 0.279511i
\(87\) 10.5189 1.66603i 1.12774 0.178617i
\(88\) 0.229491 1.04203i 0.0244638 0.111080i
\(89\) −2.35276 + 1.70938i −0.249392 + 0.181194i −0.705457 0.708753i \(-0.749258\pi\)
0.456065 + 0.889946i \(0.349258\pi\)
\(90\) −11.4717 + 2.96833i −1.20922 + 0.312890i
\(91\) 0.610694 0.0967245i 0.0640182 0.0101395i
\(92\) 0.840874 + 2.48143i 0.0876672 + 0.258707i
\(93\) −16.3191 −1.69221
\(94\) 0.690695 9.54207i 0.0712398 0.984189i
\(95\) 10.6892 + 7.58314i 1.09669 + 0.778014i
\(96\) −1.61230 14.6051i −0.164555 1.49063i
\(97\) −7.35410 14.4332i −0.746696 1.46547i −0.880290 0.474436i \(-0.842652\pi\)
0.133594 0.991036i \(-0.457348\pi\)
\(98\) −8.18383 4.94461i −0.826691 0.499481i
\(99\) 0.999550 0.999550i 0.100459 0.100459i
\(100\) −1.91057 9.81579i −0.191057 0.981579i
\(101\) −1.18021 1.18021i −0.117436 0.117436i 0.645947 0.763382i \(-0.276463\pi\)
−0.763382 + 0.645947i \(0.776463\pi\)
\(102\) 12.5028 3.08484i 1.23796 0.305445i
\(103\) 15.6672 7.98286i 1.54374 0.786575i 0.545083 0.838382i \(-0.316498\pi\)
0.998657 + 0.0518075i \(0.0164982\pi\)
\(104\) −2.76388 2.27191i −0.271021 0.222779i
\(105\) −2.69005 + 0.907775i −0.262522 + 0.0885898i
\(106\) 13.2173 11.4330i 1.28378 1.11047i
\(107\) 15.6929i 1.51709i 0.651618 + 0.758547i \(0.274091\pi\)
−0.651618 + 0.758547i \(0.725909\pi\)
\(108\) 1.71856 3.48027i 0.165369 0.334889i
\(109\) −1.60502 10.1337i −0.153733 0.970634i −0.937097 0.349070i \(-0.886497\pi\)
0.783363 0.621564i \(-0.213503\pi\)
\(110\) 0.790579 + 0.893360i 0.0753788 + 0.0851785i
\(111\) −10.3611 14.2608i −0.983430 1.35357i
\(112\) −0.354283 1.92284i −0.0334766 0.181692i
\(113\) −1.93671 12.2279i −0.182190 1.15030i −0.894045 0.447978i \(-0.852144\pi\)
0.711854 0.702327i \(-0.247856\pi\)
\(114\) −20.9037 + 5.15761i −1.95781 + 0.483055i
\(115\) −2.79596 0.873666i −0.260725 0.0814698i
\(116\) −6.69406 4.73618i −0.621528 0.439744i
\(117\) −1.46472 4.50793i −0.135413 0.416759i
\(118\) 10.3822 + 4.22425i 0.955761 + 0.388874i
\(119\) 1.62968 0.529517i 0.149393 0.0485407i
\(120\) 14.2597 + 8.15766i 1.30172 + 0.744689i
\(121\) 10.3263 + 3.35521i 0.938752 + 0.305019i
\(122\) 10.7942 + 9.10246i 0.977259 + 0.824098i
\(123\) −2.08502 + 1.51485i −0.188000 + 0.136590i
\(124\) 8.99579 + 8.77255i 0.807846 + 0.787798i
\(125\) 10.1280 + 4.73527i 0.905879 + 0.423536i
\(126\) 0.976211 2.39930i 0.0869677 0.213747i
\(127\) −1.27124 0.201345i −0.112805 0.0178665i 0.0997768 0.995010i \(-0.468187\pi\)
−0.212582 + 0.977143i \(0.568187\pi\)
\(128\) −6.96240 + 8.91768i −0.615395 + 0.788219i
\(129\) 5.29022 + 1.71890i 0.465778 + 0.151341i
\(130\) 3.87256 1.00203i 0.339646 0.0878841i
\(131\) 3.75372 7.36709i 0.327964 0.643666i −0.666871 0.745173i \(-0.732367\pi\)
0.994835 + 0.101508i \(0.0323667\pi\)
\(132\) −1.95963 + 0.0246206i −0.170564 + 0.00214295i
\(133\) −2.72471 + 0.885311i −0.236262 + 0.0767662i
\(134\) −18.8856 4.40874i −1.63146 0.380857i
\(135\) 2.01370 + 3.84411i 0.173312 + 0.330849i
\(136\) −8.55036 5.02053i −0.733187 0.430507i
\(137\) −0.179346 1.13235i −0.0153226 0.0967429i 0.978842 0.204618i \(-0.0655953\pi\)
−0.994164 + 0.107875i \(0.965595\pi\)
\(138\) 4.08727 2.54014i 0.347932 0.216231i
\(139\) 9.27033 + 1.46828i 0.786300 + 0.124538i 0.536657 0.843800i \(-0.319687\pi\)
0.249642 + 0.968338i \(0.419687\pi\)
\(140\) 1.97086 + 0.945666i 0.166568 + 0.0799234i
\(141\) −17.3557 + 2.74887i −1.46161 + 0.231497i
\(142\) −12.2337 14.1430i −1.02663 1.18685i
\(143\) −0.337423 + 0.337423i −0.0282167 + 0.0282167i
\(144\) −14.1341 + 4.98841i −1.17784 + 0.415700i
\(145\) 8.68673 2.93140i 0.721393 0.243439i
\(146\) 5.30432 + 4.47300i 0.438989 + 0.370188i
\(147\) −5.42698 + 16.7025i −0.447610 + 1.37760i
\(148\) −1.95461 + 13.4309i −0.160668 + 1.10401i
\(149\) −4.72846 + 4.72846i −0.387371 + 0.387371i −0.873749 0.486378i \(-0.838318\pi\)
0.486378 + 0.873749i \(0.338318\pi\)
\(150\) −16.7591 + 7.51589i −1.36838 + 0.613670i
\(151\) 9.91431 0.806815 0.403408 0.915020i \(-0.367826\pi\)
0.403408 + 0.915020i \(0.367826\pi\)
\(152\) 14.2955 + 8.39394i 1.15952 + 0.680839i
\(153\) −5.96363 11.7043i −0.482131 0.946236i
\(154\) −0.259838 + 0.0220929i −0.0209384 + 0.00178029i
\(155\) −13.8495 + 2.35424i −1.11242 + 0.189097i
\(156\) −2.90958 + 5.89221i −0.232953 + 0.471755i
\(157\) 14.5916i 1.16453i 0.812998 + 0.582267i \(0.197834\pi\)
−0.812998 + 0.582267i \(0.802166\pi\)
\(158\) 10.4104 + 12.0351i 0.828206 + 0.957460i
\(159\) −25.9684 18.8672i −2.05943 1.49626i
\(160\) −3.47529 12.1623i −0.274746 0.961517i
\(161\) 0.518045 0.376382i 0.0408277 0.0296630i
\(162\) 8.53901 + 1.99339i 0.670888 + 0.156615i
\(163\) −8.98986 + 12.3735i −0.704140 + 0.969166i 0.295763 + 0.955261i \(0.404426\pi\)
−0.999903 + 0.0139046i \(0.995574\pi\)
\(164\) 1.96368 + 0.285776i 0.153338 + 0.0223154i
\(165\) 1.26779 1.78708i 0.0986975 0.139124i
\(166\) −2.65989 + 11.3941i −0.206447 + 0.884351i
\(167\) −11.0158 5.61282i −0.852426 0.434333i −0.0275326 0.999621i \(-0.508765\pi\)
−0.824894 + 0.565288i \(0.808765\pi\)
\(168\) −3.29134 + 1.43657i −0.253933 + 0.110833i
\(169\) −3.52277 10.8420i −0.270982 0.833998i
\(170\) 10.1657 4.42170i 0.779674 0.339129i
\(171\) 9.97074 + 19.5687i 0.762481 + 1.49645i
\(172\) −1.99218 3.79136i −0.151902 0.289089i
\(173\) −14.7521 + 10.7180i −1.12158 + 0.814878i −0.984448 0.175674i \(-0.943789\pi\)
−0.137135 + 0.990552i \(0.543789\pi\)
\(174\) −5.67622 + 13.9508i −0.430313 + 1.05761i
\(175\) −2.15201 + 1.15848i −0.162676 + 0.0875726i
\(176\) 1.09347 + 1.03985i 0.0824233 + 0.0783820i
\(177\) 3.22057 20.3339i 0.242073 1.52839i
\(178\) −0.348433 4.09798i −0.0261162 0.307157i
\(179\) 4.11604 + 8.07819i 0.307647 + 0.603792i 0.992126 0.125240i \(-0.0399702\pi\)
−0.684479 + 0.729033i \(0.739970\pi\)
\(180\) 4.79670 16.0566i 0.357525 1.19679i
\(181\) −3.47425 + 6.81860i −0.258239 + 0.506823i −0.983330 0.181831i \(-0.941798\pi\)
0.725091 + 0.688653i \(0.241798\pi\)
\(182\) −0.329544 + 0.809943i −0.0244274 + 0.0600370i
\(183\) 11.7739 23.1076i 0.870352 1.70816i
\(184\) −3.61857 0.796935i −0.266764 0.0587508i
\(185\) −10.8504 10.6080i −0.797741 0.779916i
\(186\) 11.9347 19.7532i 0.875097 1.44837i
\(187\) −0.777322 + 1.06989i −0.0568434 + 0.0782383i
\(188\) 11.0449 + 7.81449i 0.805532 + 0.569930i
\(189\) −0.936955 0.148399i −0.0681535 0.0107944i
\(190\) −16.9963 + 7.39274i −1.23304 + 0.536326i
\(191\) −2.52380 + 3.47371i −0.182616 + 0.251349i −0.890504 0.454976i \(-0.849648\pi\)
0.707888 + 0.706324i \(0.249648\pi\)
\(192\) 18.8576 + 8.72965i 1.36093 + 0.630008i
\(193\) 16.7835 + 16.7835i 1.20810 + 1.20810i 0.971640 + 0.236464i \(0.0759887\pi\)
0.236464 + 0.971640i \(0.424011\pi\)
\(194\) 22.8488 + 1.65389i 1.64045 + 0.118742i
\(195\) −3.40926 6.50821i −0.244142 0.466062i
\(196\) 11.9702 6.28980i 0.855017 0.449272i
\(197\) 5.38537 16.5745i 0.383692 1.18088i −0.553733 0.832694i \(-0.686797\pi\)
0.937425 0.348188i \(-0.113203\pi\)
\(198\) 0.478882 + 1.94089i 0.0340327 + 0.137933i
\(199\) 8.88829i 0.630074i 0.949079 + 0.315037i \(0.102017\pi\)
−0.949079 + 0.315037i \(0.897983\pi\)
\(200\) 13.2786 + 4.86602i 0.938941 + 0.344080i
\(201\) 35.6203i 2.51246i
\(202\) 2.29170 0.565437i 0.161243 0.0397840i
\(203\) −0.619307 + 1.90603i −0.0434668 + 0.133777i
\(204\) −5.40973 + 17.3898i −0.378757 + 1.21753i
\(205\) −1.55096 + 1.58640i −0.108323 + 0.110799i
\(206\) −1.79530 + 24.8023i −0.125084 + 1.72806i
\(207\) −3.47106 3.47106i −0.241255 0.241255i
\(208\) 4.77132 1.68396i 0.330832 0.116762i
\(209\) 1.29962 1.78878i 0.0898968 0.123732i
\(210\) 0.868526 3.92001i 0.0599340 0.270506i
\(211\) −0.208281 0.0329884i −0.0143386 0.00227102i 0.149261 0.988798i \(-0.452311\pi\)
−0.163600 + 0.986527i \(0.552311\pi\)
\(212\) 4.17262 + 24.3601i 0.286577 + 1.67306i
\(213\) −20.1885 + 27.7871i −1.38329 + 1.90394i
\(214\) −18.9953 11.4768i −1.29849 0.784539i
\(215\) 4.73763 + 0.695595i 0.323104 + 0.0474392i
\(216\) 2.95579 + 4.62545i 0.201116 + 0.314722i
\(217\) 1.39417 2.73622i 0.0946426 0.185746i
\(218\) 13.4400 + 5.46838i 0.910272 + 0.370365i
\(219\) 5.78577 11.3552i 0.390966 0.767314i
\(220\) −1.65953 + 0.303597i −0.111886 + 0.0204685i
\(221\) 2.01317 + 3.95107i 0.135421 + 0.265778i
\(222\) 24.8392 2.11196i 1.66710 0.141746i
\(223\) −3.17535 + 20.0484i −0.212637 + 1.34254i 0.618199 + 0.786021i \(0.287862\pi\)
−0.830836 + 0.556517i \(0.812138\pi\)
\(224\) 2.58657 + 0.977408i 0.172823 + 0.0653058i
\(225\) 11.3522 + 14.9048i 0.756816 + 0.993656i
\(226\) 16.2175 + 6.59845i 1.07877 + 0.438922i
\(227\) −8.65355 + 6.28717i −0.574356 + 0.417294i −0.836685 0.547684i \(-0.815509\pi\)
0.262329 + 0.964979i \(0.415509\pi\)
\(228\) 9.04464 29.0744i 0.598996 1.92550i
\(229\) 5.77824 + 11.3404i 0.381837 + 0.749397i 0.999308 0.0371968i \(-0.0118428\pi\)
−0.617471 + 0.786593i \(0.711843\pi\)
\(230\) 3.10230 2.74538i 0.204560 0.181025i
\(231\) 0.148011 + 0.455532i 0.00973843 + 0.0299718i
\(232\) 10.6284 4.63897i 0.697791 0.304563i
\(233\) −14.1982 7.23433i −0.930153 0.473937i −0.0778382 0.996966i \(-0.524802\pi\)
−0.852315 + 0.523029i \(0.824802\pi\)
\(234\) 6.52775 + 1.52387i 0.426732 + 0.0996185i
\(235\) −14.3327 + 4.83668i −0.934963 + 0.315510i
\(236\) −12.7061 + 9.47764i −0.827094 + 0.616942i
\(237\) 17.1796 23.6456i 1.11593 1.53595i
\(238\) −0.550902 + 2.35988i −0.0357097 + 0.152968i
\(239\) 6.53019 4.74446i 0.422403 0.306894i −0.356201 0.934409i \(-0.615928\pi\)
0.778604 + 0.627516i \(0.215928\pi\)
\(240\) −20.3029 + 11.2944i −1.31055 + 0.729051i
\(241\) 7.63824 + 5.54951i 0.492022 + 0.357475i 0.805962 0.591968i \(-0.201649\pi\)
−0.313939 + 0.949443i \(0.601649\pi\)
\(242\) −11.6132 + 10.0455i −0.746527 + 0.645748i
\(243\) 21.9277i 1.40666i
\(244\) −18.9121 + 6.40868i −1.21072 + 0.410274i
\(245\) −2.19616 + 14.9579i −0.140308 + 0.955622i
\(246\) −0.308782 3.63164i −0.0196872 0.231545i
\(247\) −3.36587 6.60589i −0.214165 0.420323i
\(248\) −17.1975 + 4.47312i −1.09204 + 0.284044i
\(249\) 21.4905 1.36190
\(250\) −13.1387 + 8.79624i −0.830966 + 0.556323i
\(251\) −18.7722 + 18.7722i −1.18489 + 1.18489i −0.206431 + 0.978461i \(0.566185\pi\)
−0.978461 + 0.206431i \(0.933815\pi\)
\(252\) 2.19025 + 2.93633i 0.137973 + 0.184971i
\(253\) −0.152714 + 0.470004i −0.00960102 + 0.0295489i
\(254\) 1.17342 1.39151i 0.0736270 0.0873108i
\(255\) −12.1535 16.3365i −0.761082 1.02303i
\(256\) −5.70240 14.9493i −0.356400 0.934333i
\(257\) −8.78764 + 8.78764i −0.548158 + 0.548158i −0.925908 0.377750i \(-0.876698\pi\)
0.377750 + 0.925908i \(0.376698\pi\)
\(258\) −5.94954 + 5.14637i −0.370402 + 0.320399i
\(259\) 3.27627 0.518910i 0.203577 0.0322435i
\(260\) −1.61924 + 5.42029i −0.100421 + 0.336152i
\(261\) 15.1744 + 2.40338i 0.939269 + 0.148766i
\(262\) 6.17214 + 9.93144i 0.381316 + 0.613567i
\(263\) −0.535760 3.38265i −0.0330364 0.208583i 0.965649 0.259852i \(-0.0836736\pi\)
−0.998685 + 0.0512683i \(0.983674\pi\)
\(264\) 1.40335 2.39001i 0.0863700 0.147095i
\(265\) −24.7605 12.2657i −1.52102 0.753478i
\(266\) 0.921065 3.94553i 0.0564741 0.241916i
\(267\) −7.18432 + 2.33433i −0.439673 + 0.142859i
\(268\) 19.1482 19.6354i 1.16966 1.19942i
\(269\) 2.35151 4.61510i 0.143374 0.281387i −0.808141 0.588989i \(-0.799526\pi\)
0.951515 + 0.307601i \(0.0995263\pi\)
\(270\) −6.12573 0.373889i −0.372800 0.0227542i
\(271\) 22.1803 + 7.20683i 1.34736 + 0.437784i 0.891803 0.452423i \(-0.149440\pi\)
0.455556 + 0.890207i \(0.349440\pi\)
\(272\) 12.3302 6.67795i 0.747628 0.404910i
\(273\) 1.58630 + 0.251244i 0.0960069 + 0.0152060i
\(274\) 1.50179 + 0.611039i 0.0907266 + 0.0369142i
\(275\) 0.818128 1.69954i 0.0493350 0.102486i
\(276\) 0.0854982 + 6.80506i 0.00514639 + 0.409617i
\(277\) −14.6689 + 10.6576i −0.881368 + 0.640351i −0.933613 0.358283i \(-0.883362\pi\)
0.0522452 + 0.998634i \(0.483362\pi\)
\(278\) −8.55698 + 10.1473i −0.513213 + 0.608596i
\(279\) −22.3894 7.27477i −1.34042 0.435529i
\(280\) −2.58602 + 1.69399i −0.154544 + 0.101235i
\(281\) 8.11157 2.63561i 0.483896 0.157227i −0.0569021 0.998380i \(-0.518122\pi\)
0.540798 + 0.841152i \(0.318122\pi\)
\(282\) 9.36552 23.0183i 0.557708 1.37072i
\(283\) −3.03408 9.33794i −0.180357 0.555083i 0.819480 0.573108i \(-0.194262\pi\)
−0.999838 + 0.0180245i \(0.994262\pi\)
\(284\) 26.0661 4.46484i 1.54674 0.264939i
\(285\) 20.3197 + 27.3134i 1.20364 + 1.61790i
\(286\) −0.161658 0.655197i −0.00955906 0.0387426i
\(287\) −0.0758678 0.479011i −0.00447834 0.0282751i
\(288\) 4.29866 20.7566i 0.253301 1.22309i
\(289\) −2.76888 3.81103i −0.162875 0.224178i
\(290\) −2.80465 + 12.6585i −0.164695 + 0.743335i
\(291\) −6.58226 41.5588i −0.385859 2.43622i
\(292\) −9.29351 + 3.14926i −0.543862 + 0.184297i
\(293\) 10.5899i 0.618668i −0.950953 0.309334i \(-0.899894\pi\)
0.950953 0.309334i \(-0.100106\pi\)
\(294\) −16.2483 18.7841i −0.947622 1.09551i
\(295\) −0.200224 17.7214i −0.0116575 1.03178i
\(296\) −14.8277 12.1884i −0.861844 0.708438i
\(297\) 0.652327 0.332377i 0.0378518 0.0192865i
\(298\) −2.26540 9.18158i −0.131231 0.531875i
\(299\) 1.17174 + 1.17174i 0.0677636 + 0.0677636i
\(300\) 3.15908 25.7825i 0.182389 1.48855i
\(301\) −0.740161 + 0.740161i −0.0426622 + 0.0426622i
\(302\) −7.25069 + 12.0006i −0.417230 + 0.690557i
\(303\) −1.96826 3.86292i −0.113073 0.221919i
\(304\) −20.6151 + 11.1650i −1.18236 + 0.640357i
\(305\) 6.65860 21.3093i 0.381270 1.22017i
\(306\) 18.5287 + 1.34118i 1.05921 + 0.0766704i
\(307\) −29.2728 −1.67069 −0.835344 0.549728i \(-0.814732\pi\)
−0.835344 + 0.549728i \(0.814732\pi\)
\(308\) 0.163287 0.330674i 0.00930414 0.0188419i
\(309\) 45.1120 7.14503i 2.56633 0.406467i
\(310\) 7.27901 18.4857i 0.413420 1.04992i
\(311\) 5.31717 3.86315i 0.301509 0.219059i −0.426736 0.904376i \(-0.640337\pi\)
0.728245 + 0.685317i \(0.240337\pi\)
\(312\) −5.00425 7.83103i −0.283310 0.443345i
\(313\) 13.5769 2.15038i 0.767414 0.121547i 0.239560 0.970882i \(-0.422997\pi\)
0.527854 + 0.849335i \(0.322997\pi\)
\(314\) −17.6621 10.6713i −0.996731 0.602218i
\(315\) −4.09535 + 0.0462711i −0.230747 + 0.00260708i
\(316\) −22.1812 + 3.79939i −1.24779 + 0.213732i
\(317\) 16.6118 5.39751i 0.933014 0.303155i 0.197219 0.980359i \(-0.436809\pi\)
0.735795 + 0.677205i \(0.236809\pi\)
\(318\) 41.8291 17.6348i 2.34566 0.988912i
\(319\) −0.477959 1.47101i −0.0267606 0.0823606i
\(320\) 17.2633 + 4.68814i 0.965048 + 0.262075i
\(321\) −12.5964 + 38.7678i −0.703063 + 2.16381i
\(322\) 0.0767202 + 0.902320i 0.00427545 + 0.0502843i
\(323\) −12.0771 16.6227i −0.671987 0.924911i
\(324\) −8.65775 + 8.87807i −0.480986 + 0.493226i
\(325\) −3.83223 5.03150i −0.212574 0.279097i
\(326\) −8.40267 19.9308i −0.465381 1.10386i
\(327\) 4.16909 26.3226i 0.230551 1.45564i
\(328\) −1.78202 + 2.16790i −0.0983957 + 0.119703i
\(329\) 1.02183 3.14487i 0.0563352 0.173382i
\(330\) 1.23596 + 2.84153i 0.0680374 + 0.156421i
\(331\) −6.79093 3.46015i −0.373263 0.190187i 0.257288 0.966335i \(-0.417171\pi\)
−0.630551 + 0.776148i \(0.717171\pi\)
\(332\) −11.8465 11.5525i −0.650160 0.634026i
\(333\) −7.85795 24.1843i −0.430613 1.32529i
\(334\) 14.8502 9.22901i 0.812565 0.504989i
\(335\) 5.13869 + 30.2299i 0.280757 + 1.65164i
\(336\) 0.668209 5.03456i 0.0364538 0.274658i
\(337\) −19.4511 + 3.08075i −1.05957 + 0.167819i −0.661810 0.749672i \(-0.730211\pi\)
−0.397758 + 0.917491i \(0.630211\pi\)
\(338\) 15.6998 + 3.66504i 0.853957 + 0.199352i
\(339\) 5.03066 31.7623i 0.273228 1.72509i
\(340\) −2.08237 + 15.5387i −0.112932 + 0.842702i
\(341\) 0.370755 + 2.34086i 0.0200775 + 0.126764i
\(342\) −30.9785 2.24236i −1.67513 0.121253i
\(343\) −4.75632 4.75632i −0.256817 0.256817i
\(344\) 6.04614 + 0.361353i 0.325986 + 0.0194829i
\(345\) −6.20586 4.40256i −0.334112 0.237026i
\(346\) −2.18472 25.6949i −0.117452 1.38137i
\(347\) −17.6274 5.72750i −0.946291 0.307468i −0.205083 0.978745i \(-0.565747\pi\)
−0.741207 + 0.671276i \(0.765747\pi\)
\(348\) −12.7353 17.0734i −0.682685 0.915232i
\(349\) 25.5662 + 25.5662i 1.36853 + 1.36853i 0.862542 + 0.505985i \(0.168871\pi\)
0.505985 + 0.862542i \(0.331129\pi\)
\(350\) 0.171580 3.45209i 0.00917133 0.184522i
\(351\) 2.45491i 0.131034i
\(352\) −2.05837 + 0.563088i −0.109711 + 0.0300127i
\(353\) −8.85352 + 4.51110i −0.471226 + 0.240101i −0.673443 0.739239i \(-0.735185\pi\)
0.202217 + 0.979341i \(0.435185\pi\)
\(354\) 22.2575 + 18.7692i 1.18297 + 0.997570i
\(355\) −13.1247 + 26.4945i −0.696589 + 1.40618i
\(356\) 5.21516 + 2.57525i 0.276403 + 0.136488i
\(357\) 4.45100 0.235572
\(358\) −12.7883 0.925672i −0.675884 0.0489233i
\(359\) −12.1837 + 16.7694i −0.643030 + 0.885055i −0.998773 0.0495290i \(-0.984228\pi\)
0.355743 + 0.934584i \(0.384228\pi\)
\(360\) 15.9274 + 17.5488i 0.839449 + 0.924905i
\(361\) 9.02404 + 12.4205i 0.474949 + 0.653712i
\(362\) −5.71262 9.19203i −0.300249 0.483123i
\(363\) 22.8168 + 16.5774i 1.19757 + 0.870087i
\(364\) −0.739374 0.991231i −0.0387537 0.0519546i
\(365\) 3.27208 10.4715i 0.171268 0.548104i
\(366\) 19.3595 + 31.1509i 1.01194 + 1.62829i
\(367\) 4.44514 8.72408i 0.232035 0.455393i −0.745404 0.666613i \(-0.767743\pi\)
0.977439 + 0.211219i \(0.0677435\pi\)
\(368\) 3.61102 3.79720i 0.188238 0.197943i
\(369\) −3.53589 + 1.14888i −0.184071 + 0.0598083i
\(370\) 20.7756 5.37573i 1.08007 0.279471i
\(371\) 5.38199 2.74226i 0.279419 0.142371i
\(372\) 15.1816 + 28.8924i 0.787129 + 1.49800i
\(373\) 18.5155 + 25.4843i 0.958694 + 1.31953i 0.947556 + 0.319591i \(0.103545\pi\)
0.0111382 + 0.999938i \(0.496455\pi\)
\(374\) −0.726550 1.72335i −0.0375690 0.0891122i
\(375\) 21.2193 + 19.8276i 1.09576 + 1.02389i
\(376\) −17.5365 + 7.65410i −0.904373 + 0.394730i
\(377\) −5.12248 0.811321i −0.263821 0.0417852i
\(378\) 0.864856 1.02559i 0.0444834 0.0527508i
\(379\) 2.53253 1.29039i 0.130087 0.0662828i −0.387736 0.921771i \(-0.626743\pi\)
0.517823 + 0.855488i \(0.326743\pi\)
\(380\) 3.48156 25.9794i 0.178600 1.33272i
\(381\) −2.97886 1.51780i −0.152612 0.0777595i
\(382\) −2.35895 5.59533i −0.120694 0.286282i
\(383\) 14.2185 + 7.24468i 0.726530 + 0.370186i 0.777811 0.628499i \(-0.216330\pi\)
−0.0512804 + 0.998684i \(0.516330\pi\)
\(384\) −24.3579 + 16.4416i −1.24301 + 0.839032i
\(385\) 0.191329 + 0.365244i 0.00975104 + 0.0186146i
\(386\) −32.5897 + 8.04095i −1.65877 + 0.409273i
\(387\) 6.49181 + 4.71658i 0.329997 + 0.239757i
\(388\) −18.7120 + 26.4474i −0.949960 + 1.34266i
\(389\) −2.71215 + 17.1239i −0.137512 + 0.868214i 0.818419 + 0.574622i \(0.194851\pi\)
−0.955931 + 0.293592i \(0.905149\pi\)
\(390\) 10.3711 + 0.633006i 0.525159 + 0.0320535i
\(391\) 3.71533 + 2.69935i 0.187892 + 0.136512i
\(392\) −1.14088 + 19.0891i −0.0576232 + 0.964147i
\(393\) 15.1866 15.1866i 0.766062 0.766062i
\(394\) 16.1238 + 18.6401i 0.812304 + 0.939076i
\(395\) 11.1686 22.5457i 0.561953 1.13440i
\(396\) −2.69955 0.839791i −0.135657 0.0422011i
\(397\) −5.66448 1.84050i −0.284292 0.0923722i 0.163400 0.986560i \(-0.447754\pi\)
−0.447692 + 0.894188i \(0.647754\pi\)
\(398\) −10.7587 6.50032i −0.539284 0.325832i
\(399\) −7.44172 −0.372552
\(400\) −15.6011 + 12.5142i −0.780056 + 0.625710i
\(401\) 37.8338 1.88933 0.944665 0.328038i \(-0.106387\pi\)
0.944665 + 0.328038i \(0.106387\pi\)
\(402\) −43.1160 26.0504i −2.15043 1.29927i
\(403\) 7.55810 + 2.45578i 0.376496 + 0.122331i
\(404\) −0.991578 + 3.18747i −0.0493328 + 0.158583i
\(405\) −2.32343 13.6683i −0.115452 0.679183i
\(406\) −1.85420 2.14358i −0.0920224 0.106384i
\(407\) −1.81021 + 1.81021i −0.0897290 + 0.0897290i
\(408\) −17.0929 19.2659i −0.846224 0.953804i
\(409\) 25.5024 + 18.5286i 1.26101 + 0.916180i 0.998807 0.0488322i \(-0.0155500\pi\)
0.262206 + 0.965012i \(0.415550\pi\)
\(410\) −0.785965 3.03752i −0.0388161 0.150012i
\(411\) 0.465856 2.94130i 0.0229790 0.145084i
\(412\) −28.7086 20.3119i −1.41437 1.00070i
\(413\) 3.13423 + 2.27715i 0.154226 + 0.112051i
\(414\) 6.73999 1.66298i 0.331253 0.0817308i
\(415\) 18.2384 3.10028i 0.895286 0.152187i
\(416\) −1.45112 + 7.00691i −0.0711469 + 0.343542i
\(417\) 21.7228 + 11.0683i 1.06377 + 0.542019i
\(418\) 1.21474 + 2.88130i 0.0594146 + 0.140929i
\(419\) 16.5406 + 8.42786i 0.808062 + 0.411728i 0.808663 0.588272i \(-0.200191\pi\)
−0.000601590 1.00000i \(0.500191\pi\)
\(420\) 4.10973 + 3.91814i 0.200534 + 0.191185i
\(421\) 0.872730 0.444678i 0.0425343 0.0216723i −0.432594 0.901589i \(-0.642402\pi\)
0.475128 + 0.879917i \(0.342402\pi\)
\(422\) 0.192253 0.227984i 0.00935875 0.0110981i
\(423\) −25.0370 3.96548i −1.21734 0.192808i
\(424\) −32.5378 12.7647i −1.58018 0.619909i
\(425\) −12.6711 12.1110i −0.614637 0.587470i
\(426\) −18.8698 44.7585i −0.914247 2.16856i
\(427\) 2.86857 + 3.94825i 0.138820 + 0.191069i
\(428\) 27.7838 14.5991i 1.34298 0.705674i
\(429\) −1.10441 + 0.562725i −0.0533214 + 0.0271686i
\(430\) −4.30677 + 5.22587i −0.207691 + 0.252014i
\(431\) 0.685603 0.222766i 0.0330243 0.0107303i −0.292458 0.956278i \(-0.594473\pi\)
0.325483 + 0.945548i \(0.394473\pi\)
\(432\) −7.76048 + 0.195035i −0.373376 + 0.00938361i
\(433\) 8.32242 16.3337i 0.399950 0.784946i −0.599936 0.800048i \(-0.704807\pi\)
0.999886 + 0.0151018i \(0.00480722\pi\)
\(434\) 2.29240 + 3.68864i 0.110039 + 0.177061i
\(435\) 23.8126 0.269046i 1.14173 0.0128997i
\(436\) −16.4483 + 12.2690i −0.787729 + 0.587579i
\(437\) −6.21175 4.51310i −0.297148 0.215891i
\(438\) 9.51339 + 15.3078i 0.454567 + 0.731433i
\(439\) −5.13354 7.06571i −0.245011 0.337228i 0.668745 0.743491i \(-0.266832\pi\)
−0.913756 + 0.406263i \(0.866832\pi\)
\(440\) 0.846190 2.23078i 0.0403405 0.106348i
\(441\) −14.8914 + 20.4962i −0.709113 + 0.976011i
\(442\) −6.25481 0.452750i −0.297511 0.0215351i
\(443\) 16.3129 0.775048 0.387524 0.921860i \(-0.373330\pi\)
0.387524 + 0.921860i \(0.373330\pi\)
\(444\) −15.6094 + 31.6107i −0.740788 + 1.50018i
\(445\) −5.76037 + 3.01751i −0.273068 + 0.143044i
\(446\) −21.9450 18.5056i −1.03912 0.876267i
\(447\) −15.4766 + 7.88573i −0.732019 + 0.372982i
\(448\) −3.07474 + 2.41606i −0.145268 + 0.114148i
\(449\) 20.2996i 0.958000i −0.877815 0.479000i \(-0.840999\pi\)
0.877815 0.479000i \(-0.159001\pi\)
\(450\) −26.3436 + 2.84070i −1.24185 + 0.133912i
\(451\) 0.264664 + 0.264664i 0.0124626 + 0.0124626i
\(452\) −19.8474 + 14.8045i −0.933542 + 0.696343i
\(453\) 24.4923 + 7.95802i 1.15075 + 0.373900i
\(454\) −1.28155 15.0726i −0.0601462 0.707391i
\(455\) 1.38249 0.0156200i 0.0648120 0.000732275i
\(456\) 28.5780 + 32.2111i 1.33829 + 1.50842i
\(457\) 27.6994 + 27.6994i 1.29572 + 1.29572i 0.931191 + 0.364532i \(0.118771\pi\)
0.364532 + 0.931191i \(0.381229\pi\)
\(458\) −17.9527 1.29949i −0.838873 0.0607211i
\(459\) −1.06429 6.71969i −0.0496770 0.313648i
\(460\) 1.05428 + 5.76292i 0.0491560 + 0.268698i
\(461\) −1.01213 + 6.39032i −0.0471394 + 0.297627i −0.999983 0.00583528i \(-0.998143\pi\)
0.952844 + 0.303462i \(0.0981426\pi\)
\(462\) −0.659637 0.153989i −0.0306891 0.00716421i
\(463\) 40.9222 6.48143i 1.90181 0.301218i 0.908614 0.417637i \(-0.137142\pi\)
0.993200 + 0.116419i \(0.0371416\pi\)
\(464\) −2.15779 + 16.2577i −0.100173 + 0.754743i
\(465\) −36.1035 5.30084i −1.67426 0.245821i
\(466\) 19.1403 11.8952i 0.886657 0.551035i
\(467\) −0.908061 2.79472i −0.0420200 0.129324i 0.927846 0.372964i \(-0.121659\pi\)
−0.969866 + 0.243640i \(0.921659\pi\)
\(468\) −6.61852 + 6.78694i −0.305941 + 0.313727i
\(469\) −5.97244 3.04311i −0.275782 0.140518i
\(470\) 4.62755 20.8860i 0.213453 0.963401i
\(471\) −11.7124 + 36.0469i −0.539677 + 1.66095i
\(472\) −2.17966 22.3112i −0.100327 1.02696i
\(473\) 0.126374 0.797896i 0.00581070 0.0366873i
\(474\) 16.0574 + 38.0876i 0.737543 + 1.74942i
\(475\) 21.1851 + 20.2487i 0.972037 + 0.929073i
\(476\) −2.45358 2.39269i −0.112460 0.109669i
\(477\) −27.2174 37.4616i −1.24620 1.71525i
\(478\) 0.967092 + 11.3741i 0.0442338 + 0.520241i
\(479\) 2.21970 6.83152i 0.101421 0.312140i −0.887453 0.460898i \(-0.847527\pi\)
0.988874 + 0.148758i \(0.0475274\pi\)
\(480\) 1.17712 32.8353i 0.0537277 1.49872i
\(481\) 2.65264 + 8.16400i 0.120950 + 0.372246i
\(482\) −12.3034 + 5.18703i −0.560406 + 0.236263i
\(483\) 1.58189 0.513987i 0.0719785 0.0233872i
\(484\) −3.66622 21.4037i −0.166646 0.972893i
\(485\) −11.5816 34.3201i −0.525892 1.55840i
\(486\) 26.5421 + 16.0365i 1.20397 + 0.727432i
\(487\) 10.8369 1.71639i 0.491066 0.0777772i 0.0940092 0.995571i \(-0.470032\pi\)
0.397057 + 0.917794i \(0.370032\pi\)
\(488\) 6.07380 27.5787i 0.274948 1.24843i
\(489\) −32.1405 + 23.3514i −1.45344 + 1.05599i
\(490\) −16.4993 13.5975i −0.745365 0.614273i
\(491\) 4.81480 0.762590i 0.217289 0.0344152i −0.0468407 0.998902i \(-0.514915\pi\)
0.264130 + 0.964487i \(0.414915\pi\)
\(492\) 4.62168 + 2.28219i 0.208361 + 0.102889i
\(493\) −14.3732 −0.647336
\(494\) 10.4576 + 0.756963i 0.470508 + 0.0340574i
\(495\) 2.53603 1.88668i 0.113986 0.0847997i
\(496\) 7.16274 24.0878i 0.321617 1.08157i
\(497\) −2.93431 5.75890i −0.131622 0.258322i
\(498\) −15.7168 + 26.0128i −0.704285 + 1.16566i
\(499\) −21.3563 + 21.3563i −0.956039 + 0.956039i −0.999074 0.0430348i \(-0.986297\pi\)
0.0430348 + 0.999074i \(0.486297\pi\)
\(500\) −1.03844 22.3366i −0.0464404 0.998921i
\(501\) −22.7080 22.7080i −1.01452 1.01452i
\(502\) −8.99373 36.4513i −0.401410 1.62690i
\(503\) −29.2598 + 14.9086i −1.30463 + 0.664742i −0.961567 0.274571i \(-0.911464\pi\)
−0.343062 + 0.939313i \(0.611464\pi\)
\(504\) −5.15604 + 0.503713i −0.229668 + 0.0224372i
\(505\) −2.22768 2.99440i −0.0991305 0.133249i
\(506\) −0.457224 0.528580i −0.0203261 0.0234983i
\(507\) 29.6116i 1.31510i
\(508\) 0.826159 + 2.43801i 0.0366549 + 0.108169i
\(509\) −0.490937 3.09965i −0.0217604 0.137390i 0.974416 0.224750i \(-0.0721567\pi\)
−0.996177 + 0.0873608i \(0.972157\pi\)
\(510\) 28.6625 2.76354i 1.26920 0.122372i
\(511\) 1.40963 + 1.94020i 0.0623586 + 0.0858292i
\(512\) 22.2655 + 4.03060i 0.984007 + 0.178129i
\(513\) 1.77942 + 11.2348i 0.0785632 + 0.496028i
\(514\) −4.21014 17.0636i −0.185701 0.752641i
\(515\) 37.2545 12.5718i 1.64163 0.553979i
\(516\) −1.87823 10.9652i −0.0826844 0.482718i
\(517\) 0.788612 + 2.42710i 0.0346831 + 0.106744i
\(518\) −1.76795 + 4.34520i −0.0776791 + 0.190917i
\(519\) −45.0467 + 14.6366i −1.97733 + 0.642474i
\(520\) −5.37669 5.92404i −0.235784 0.259786i
\(521\) −22.4649 7.29928i −0.984204 0.319787i −0.227668 0.973739i \(-0.573110\pi\)
−0.756537 + 0.653951i \(0.773110\pi\)
\(522\) −14.0067 + 16.6099i −0.613056 + 0.726994i
\(523\) 29.4810 21.4192i 1.28911 0.936596i 0.289326 0.957231i \(-0.406569\pi\)
0.999787 + 0.0206350i \(0.00656879\pi\)
\(524\) −16.5353 + 0.207747i −0.722346 + 0.00907549i
\(525\) −6.24619 + 1.13452i −0.272606 + 0.0495146i
\(526\) 4.48630 + 1.82535i 0.195612 + 0.0795892i
\(527\) 21.7530 + 3.44534i 0.947577 + 0.150081i
\(528\) 1.86663 + 3.44656i 0.0812346 + 0.149992i
\(529\) −20.2422 6.57707i −0.880094 0.285960i
\(530\) 32.9551 21.0006i 1.43148 0.912206i
\(531\) 13.4830 26.4619i 0.585114 1.14835i
\(532\) 4.10220 + 4.00040i 0.177853 + 0.173439i
\(533\) 1.19363 0.387833i 0.0517017 0.0167989i
\(534\) 2.42860 10.4033i 0.105096 0.450196i
\(535\) −5.09745 + 34.7183i −0.220382 + 1.50100i
\(536\) 9.76365 + 37.5377i 0.421725 + 1.62138i
\(537\) 3.68405 + 23.2602i 0.158979 + 1.00375i
\(538\) 3.86652 + 6.22153i 0.166698 + 0.268229i
\(539\) 2.51915 + 0.398994i 0.108508 + 0.0171859i
\(540\) 4.93253 7.14135i 0.212262 0.307315i
\(541\) 11.5353 1.82701i 0.495941 0.0785493i 0.0965463 0.995328i \(-0.469220\pi\)
0.399394 + 0.916779i \(0.369220\pi\)
\(542\) −24.9447 + 21.5772i −1.07146 + 0.926820i
\(543\) −14.0559 + 14.0559i −0.603198 + 0.603198i
\(544\) −0.934310 + 19.8087i −0.0400582 + 0.849291i
\(545\) −0.259194 22.9407i −0.0111027 0.982671i
\(546\) −1.46423 + 1.73636i −0.0626632 + 0.0743093i
\(547\) −6.47182 + 19.9182i −0.276715 + 0.851642i 0.712045 + 0.702133i \(0.247769\pi\)
−0.988760 + 0.149508i \(0.952231\pi\)
\(548\) −1.83794 + 1.37094i −0.0785127 + 0.0585639i
\(549\) 26.4545 26.4545i 1.12905 1.12905i
\(550\) 1.45885 + 2.23322i 0.0622057 + 0.0952250i
\(551\) 24.0309 1.02375
\(552\) −8.29960 4.87329i −0.353254 0.207421i
\(553\) 2.49697 + 4.90058i 0.106182 + 0.208394i
\(554\) −2.17240 25.5500i −0.0922963 1.08551i
\(555\) −18.2901 34.9154i −0.776370 1.48208i
\(556\) −6.02463 17.7787i −0.255501 0.753987i
\(557\) 22.1033i 0.936548i 0.883583 + 0.468274i \(0.155124\pi\)
−0.883583 + 0.468274i \(0.844876\pi\)
\(558\) 25.1798 21.7806i 1.06595 0.922047i
\(559\) −2.19147 1.59220i −0.0926894 0.0673428i
\(560\) −0.159212 4.36908i −0.00672793 0.184627i
\(561\) −2.77907 + 2.01912i −0.117333 + 0.0852471i
\(562\) −2.74205 + 11.7460i −0.115667 + 0.495477i
\(563\) −3.03000 + 4.17044i −0.127699 + 0.175763i −0.868079 0.496425i \(-0.834646\pi\)
0.740380 + 0.672189i \(0.234646\pi\)
\(564\) 21.0127 + 28.1704i 0.884796 + 1.18619i
\(565\) −0.312758 27.6815i −0.0131578 1.16457i
\(566\) 13.5219 + 3.15662i 0.568367 + 0.132683i
\(567\) 2.70041 + 1.37593i 0.113407 + 0.0577835i
\(568\) −13.6587 + 34.8166i −0.573105 + 1.46087i
\(569\) −5.87994 18.0966i −0.246500 0.758649i −0.995386 0.0959503i \(-0.969411\pi\)
0.748886 0.662699i \(-0.230589\pi\)
\(570\) −47.9215 + 4.62043i −2.00721 + 0.193528i
\(571\) −17.8623 35.0568i −0.747515 1.46708i −0.879535 0.475834i \(-0.842146\pi\)
0.132020 0.991247i \(-0.457854\pi\)
\(572\) 0.911299 + 0.283492i 0.0381033 + 0.0118534i
\(573\) −9.02305 + 6.55563i −0.376943 + 0.273865i
\(574\) 0.635295 + 0.258485i 0.0265167 + 0.0107889i
\(575\) −5.90186 2.84105i −0.246125 0.118480i
\(576\) 21.9807 + 20.3833i 0.915864 + 0.849303i
\(577\) −5.70637 + 36.0286i −0.237559 + 1.49989i 0.523957 + 0.851745i \(0.324455\pi\)
−0.761517 + 0.648146i \(0.775545\pi\)
\(578\) 6.63798 0.564397i 0.276104 0.0234758i
\(579\) 27.9901 + 54.9337i 1.16323 + 2.28297i
\(580\) −13.2712 12.6525i −0.551055 0.525366i
\(581\) −1.83597 + 3.60330i −0.0761691 + 0.149490i
\(582\) 55.1179 + 22.4260i 2.28471 + 0.929588i
\(583\) −2.11638 + 4.15363i −0.0876515 + 0.172026i
\(584\) 2.98470 13.5523i 0.123508 0.560800i
\(585\) −1.77618 10.4489i −0.0734359 0.432009i
\(586\) 12.8184 + 7.74476i 0.529521 + 0.319933i
\(587\) −11.9798 + 16.4888i −0.494460 + 0.680566i −0.981203 0.192980i \(-0.938185\pi\)
0.486743 + 0.873545i \(0.338185\pi\)
\(588\) 34.6199 5.93002i 1.42770 0.244550i
\(589\) −36.3694 5.76034i −1.49857 0.237351i
\(590\) 21.5970 + 12.7179i 0.889133 + 0.523588i
\(591\) 26.6080 36.6227i 1.09451 1.50646i
\(592\) 25.5973 9.03415i 1.05204 0.371301i
\(593\) 11.9791 + 11.9791i 0.491924 + 0.491924i 0.908912 0.416988i \(-0.136914\pi\)
−0.416988 + 0.908912i \(0.636914\pi\)
\(594\) −0.0747495 + 1.03268i −0.00306701 + 0.0423712i
\(595\) 3.77743 0.642114i 0.154860 0.0263241i
\(596\) 12.7705 + 3.97271i 0.523098 + 0.162728i
\(597\) −7.13445 + 21.9576i −0.291994 + 0.898664i
\(598\) −2.27525 + 0.561379i −0.0930419 + 0.0229565i
\(599\) 42.5049i 1.73670i 0.495948 + 0.868352i \(0.334821\pi\)
−0.495948 + 0.868352i \(0.665179\pi\)
\(600\) 28.8976 + 22.6795i 1.17974 + 0.925886i
\(601\) 14.9268i 0.608877i −0.952532 0.304438i \(-0.901531\pi\)
0.952532 0.304438i \(-0.0984687\pi\)
\(602\) −0.354609 1.43722i −0.0144528 0.0585768i
\(603\) −15.8789 + 48.8702i −0.646639 + 1.99015i
\(604\) −9.22325 17.5529i −0.375289 0.714219i
\(605\) 21.7555 + 10.7771i 0.884486 + 0.438152i
\(606\) 6.11527 + 0.442649i 0.248416 + 0.0179814i
\(607\) −14.3665 14.3665i −0.583117 0.583117i 0.352641 0.935759i \(-0.385284\pi\)
−0.935759 + 0.352641i \(0.885284\pi\)
\(608\) 1.56209 33.1186i 0.0633513 1.34314i
\(609\) −3.05986 + 4.21154i −0.123992 + 0.170660i
\(610\) 20.9238 + 23.6440i 0.847179 + 0.957319i
\(611\) 8.45187 + 1.33864i 0.341926 + 0.0541557i
\(612\) −15.1741 + 21.4469i −0.613376 + 0.866938i
\(613\) −19.2712 + 26.5245i −0.778356 + 1.07131i 0.217106 + 0.976148i \(0.430338\pi\)
−0.995461 + 0.0951667i \(0.969662\pi\)
\(614\) 21.4083 35.4328i 0.863967 1.42995i
\(615\) −5.10484 + 2.67412i −0.205847 + 0.107831i
\(616\) 0.280841 + 0.439482i 0.0113154 + 0.0177072i
\(617\) 8.89157 17.4507i 0.357961 0.702538i −0.639862 0.768490i \(-0.721008\pi\)
0.997823 + 0.0659517i \(0.0210083\pi\)
\(618\) −24.3434 + 59.8304i −0.979235 + 2.40673i
\(619\) 4.69155 9.20768i 0.188569 0.370088i −0.777295 0.629136i \(-0.783409\pi\)
0.965864 + 0.259048i \(0.0834088\pi\)
\(620\) 17.0523 + 22.3300i 0.684836 + 0.896794i
\(621\) −1.15422 2.26528i −0.0463173 0.0909027i
\(622\) 0.787449 + 9.26133i 0.0315738 + 0.371346i
\(623\) 0.222375 1.40402i 0.00890925 0.0562508i
\(624\) 13.1387 0.330200i 0.525970 0.0132186i
\(625\) 20.8686 + 13.7659i 0.834745 + 0.550637i
\(626\) −7.32642 + 18.0066i −0.292822 + 0.719690i
\(627\) 4.64640 3.37581i 0.185559 0.134817i
\(628\) 25.8339 13.5745i 1.03088 0.541681i
\(629\) 10.8003 + 21.1968i 0.430637 + 0.845172i
\(630\) 2.93907 4.99099i 0.117095 0.198846i
\(631\) −8.10090 24.9320i −0.322492 0.992528i −0.972560 0.232652i \(-0.925260\pi\)
0.650068 0.759876i \(-0.274740\pi\)
\(632\) 11.6230 29.6274i 0.462336 1.17852i
\(633\) −0.488056 0.248677i −0.0193985 0.00988403i
\(634\) −5.61550 + 24.0549i −0.223020 + 0.955343i
\(635\) −2.74703 0.858377i −0.109013 0.0340637i
\(636\) −9.24533 + 63.5283i −0.366601 + 2.51906i
\(637\) 5.02695 6.91901i 0.199175 0.274141i
\(638\) 2.13011 + 0.497262i 0.0843317 + 0.0196868i
\(639\) −40.0852 + 29.1236i −1.58574 + 1.15211i
\(640\) −18.2999 + 17.4675i −0.723369 + 0.690462i
\(641\) −33.5183 24.3525i −1.32389 0.961866i −0.999875 0.0158158i \(-0.994965\pi\)
−0.324020 0.946050i \(-0.605035\pi\)
\(642\) −37.7136 43.5994i −1.48844 1.72073i
\(643\) 12.3955i 0.488832i 0.969670 + 0.244416i \(0.0785962\pi\)
−0.969670 + 0.244416i \(0.921404\pi\)
\(644\) −1.14831 0.567034i −0.0452496 0.0223443i
\(645\) 11.1455 + 5.52120i 0.438853 + 0.217397i
\(646\) 28.9531 2.46175i 1.13914 0.0968561i
\(647\) −10.3074 20.2294i −0.405225 0.795298i 0.594738 0.803919i \(-0.297256\pi\)
−0.999963 + 0.00862139i \(0.997256\pi\)
\(648\) −4.41459 16.9725i −0.173421 0.666742i
\(649\) −2.98992 −0.117364
\(650\) 8.89293 0.958947i 0.348810 0.0376130i
\(651\) 5.64046 5.64046i 0.221067 0.221067i
\(652\) 30.2701 + 4.40523i 1.18547 + 0.172522i
\(653\) 10.4714 32.2277i 0.409778 1.26117i −0.507061 0.861910i \(-0.669268\pi\)
0.916839 0.399257i \(-0.130732\pi\)
\(654\) 28.8128 + 24.2971i 1.12667 + 0.950091i
\(655\) 10.6976 15.0793i 0.417988 0.589196i
\(656\) −1.32085 3.74248i −0.0515705 0.146119i
\(657\) 12.9999 12.9999i 0.507174 0.507174i
\(658\) 3.05935 + 3.53681i 0.119266 + 0.137879i
\(659\) −39.8634 + 6.31375i −1.55286 + 0.245949i −0.873120 0.487505i \(-0.837907\pi\)
−0.679739 + 0.733454i \(0.737907\pi\)
\(660\) −4.34339 0.582067i −0.169066 0.0226569i
\(661\) −14.7088 2.32964i −0.572105 0.0906125i −0.136322 0.990665i \(-0.543528\pi\)
−0.435782 + 0.900052i \(0.643528\pi\)
\(662\) 9.15474 5.68944i 0.355809 0.221126i
\(663\) 1.80188 + 11.3766i 0.0699793 + 0.441832i
\(664\) 22.6473 5.89062i 0.878885 0.228600i
\(665\) −6.31557 + 1.07357i −0.244907 + 0.0416311i
\(666\) 35.0202 + 8.17530i 1.35701 + 0.316786i
\(667\) −5.10825 + 1.65977i −0.197792 + 0.0642667i
\(668\) 0.310638 + 24.7246i 0.0120190 + 0.956625i
\(669\) −23.9368 + 46.9786i −0.925450 + 1.81630i
\(670\) −40.3494 15.8882i −1.55883 0.613813i
\(671\) −3.58211 1.16390i −0.138286 0.0449318i
\(672\) 5.60531 + 4.49078i 0.216230 + 0.173235i
\(673\) 28.1834 + 4.46381i 1.08639 + 0.172067i 0.673847 0.738871i \(-0.264641\pi\)
0.412543 + 0.910938i \(0.364641\pi\)
\(674\) 10.4962 25.7973i 0.404299 0.993674i
\(675\) 3.20634 + 9.15862i 0.123412 + 0.352515i
\(676\) −15.9181 + 16.3232i −0.612235 + 0.627815i
\(677\) −0.748101 + 0.543527i −0.0287519 + 0.0208894i −0.602068 0.798445i \(-0.705657\pi\)
0.573317 + 0.819334i \(0.305657\pi\)
\(678\) 34.7671 + 29.3182i 1.33522 + 1.12596i
\(679\) 7.53048 + 2.44680i 0.288993 + 0.0938996i
\(680\) −17.2856 13.8845i −0.662872 0.532448i
\(681\) −26.4243 + 8.58576i −1.01258 + 0.329007i
\(682\) −3.10460 1.26318i −0.118881 0.0483696i
\(683\) −12.1189 37.2982i −0.463718 1.42718i −0.860588 0.509302i \(-0.829904\pi\)
0.396870 0.917875i \(-0.370096\pi\)
\(684\) 25.3699 35.8575i 0.970043 1.37105i
\(685\) −0.0289625 2.56340i −0.00110660 0.0979426i
\(686\) 9.23567 2.27874i 0.352619 0.0870027i
\(687\) 5.17179 + 32.6534i 0.197316 + 1.24581i
\(688\) −4.85915 + 7.05418i −0.185253 + 0.268938i
\(689\) 9.18792 + 12.6461i 0.350032 + 0.481778i
\(690\) 9.86757 4.29202i 0.375652 0.163395i
\(691\) −0.993390 6.27202i −0.0377903 0.238599i 0.961562 0.274588i \(-0.0885416\pi\)
−0.999352 + 0.0359898i \(0.988542\pi\)
\(692\) 32.6998 + 16.1472i 1.24306 + 0.613823i
\(693\) 0.690960i 0.0262474i
\(694\) 19.8243 17.1481i 0.752521 0.650933i
\(695\) 20.0323 + 6.25957i 0.759868 + 0.237439i
\(696\) 29.9800 2.92886i 1.13639 0.111018i
\(697\) 3.09910 1.57907i 0.117387 0.0598116i
\(698\) −49.6436 + 12.2487i −1.87904 + 0.463620i
\(699\) −29.2682 29.2682i −1.10703 1.10703i
\(700\) 4.05305 + 2.73233i 0.153191 + 0.103272i
\(701\) 35.0917 35.0917i 1.32539 1.32539i 0.416053 0.909340i \(-0.363413\pi\)
0.909340 0.416053i \(-0.136587\pi\)
\(702\) 2.97151 + 1.79536i 0.112152 + 0.0677617i
\(703\) −18.0573 35.4394i −0.681044 1.33662i
\(704\) 0.823776 2.90332i 0.0310472 0.109423i
\(705\) −39.2898 + 0.443913i −1.47974 + 0.0167187i
\(706\) 1.01452 14.0157i 0.0381819 0.527489i
\(707\) 0.815847 0.0306831
\(708\) −38.9965 + 13.2146i −1.46558 + 0.496636i
\(709\) 22.5859 3.57725i 0.848230 0.134346i 0.282837 0.959168i \(-0.408725\pi\)
0.565393 + 0.824822i \(0.308725\pi\)
\(710\) −22.4713 35.2630i −0.843332 1.32340i
\(711\) 34.1108 24.7829i 1.27925 0.929433i
\(712\) −6.93119 + 4.42923i −0.259757 + 0.165992i
\(713\) 8.12891 1.28749i 0.304430 0.0482170i
\(714\) −3.25517 + 5.38763i −0.121822 + 0.201627i
\(715\) −0.856100 + 0.636894i −0.0320163 + 0.0238185i
\(716\) 10.4730 14.8024i 0.391395 0.553193i
\(717\) 19.9404 6.47904i 0.744689 0.241964i
\(718\) −11.3879 27.0116i −0.424992 1.00806i
\(719\) 12.1864 + 37.5058i 0.454475 + 1.39873i 0.871751 + 0.489950i \(0.162985\pi\)
−0.417276 + 0.908780i \(0.637015\pi\)
\(720\) −32.8900 + 6.44499i −1.22574 + 0.240191i
\(721\) −2.65600 + 8.17432i −0.0989145 + 0.304428i
\(722\) −21.6338 + 1.83942i −0.805127 + 0.0684563i
\(723\) 14.4150 + 19.8405i 0.536099 + 0.737878i
\(724\) 15.3042 0.192280i 0.568775 0.00714605i
\(725\) 20.1703 3.66361i 0.749105 0.136063i
\(726\) −36.7526 + 15.4946i −1.36402 + 0.575059i
\(727\) −1.77491 + 11.2063i −0.0658276 + 0.415619i 0.932665 + 0.360742i \(0.117477\pi\)
−0.998493 + 0.0548769i \(0.982523\pi\)
\(728\) 1.74055 0.170041i 0.0645091 0.00630213i
\(729\) 11.8529 36.4795i 0.438997 1.35109i
\(730\) 10.2821 + 11.6188i 0.380557 + 0.430032i
\(731\) −6.68886 3.40814i −0.247396 0.126055i
\(732\) −51.8644 + 0.651620i −1.91696 + 0.0240846i
\(733\) 2.32724 + 7.16252i 0.0859587 + 0.264554i 0.984792 0.173737i \(-0.0555842\pi\)
−0.898833 + 0.438290i \(0.855584\pi\)
\(734\) 7.30903 + 11.7608i 0.269781 + 0.434098i
\(735\) −17.4318 + 35.1890i −0.642980 + 1.29797i
\(736\) 1.95539 + 7.14793i 0.0720767 + 0.263476i
\(737\) 5.10947 0.809261i 0.188210 0.0298095i
\(738\) 1.19528 5.12017i 0.0439988 0.188476i
\(739\) 5.17192 32.6542i 0.190252 1.20121i −0.688969 0.724791i \(-0.741936\pi\)
0.879221 0.476414i \(-0.158064\pi\)
\(740\) −8.68697 + 29.0789i −0.319339 + 1.06896i
\(741\) −3.01261 19.0209i −0.110671 0.698749i
\(742\) −0.616717 + 8.52004i −0.0226404 + 0.312781i
\(743\) −24.1922 24.1922i −0.887525 0.887525i 0.106760 0.994285i \(-0.465952\pi\)
−0.994285 + 0.106760i \(0.965952\pi\)
\(744\) −46.0752 2.75373i −1.68920 0.100956i
\(745\) −11.9969 + 8.92509i −0.439534 + 0.326990i
\(746\) −44.3881 + 3.77412i −1.62516 + 0.138180i
\(747\) 29.4845 + 9.58008i 1.07878 + 0.350517i
\(748\) 2.61735 + 0.380905i 0.0956997 + 0.0139273i
\(749\) −5.42404 5.42404i −0.198190 0.198190i
\(750\) −39.5184 + 11.1840i −1.44301 + 0.408382i
\(751\) 8.48300i 0.309549i −0.987950 0.154775i \(-0.950535\pi\)
0.987950 0.154775i \(-0.0494651\pi\)
\(752\) 3.56025 26.8244i 0.129829 0.978186i
\(753\) −61.4429 + 31.3067i −2.23910 + 1.14088i
\(754\) 4.72830 5.60707i 0.172195 0.204198i
\(755\) 21.9339 + 3.22041i 0.798257 + 0.117203i
\(756\) 0.608911 + 1.79690i 0.0221459 + 0.0653527i
\(757\) 14.6889 0.533876 0.266938 0.963714i \(-0.413988\pi\)
0.266938 + 0.963714i \(0.413988\pi\)
\(758\) −0.290200 + 4.00916i −0.0105405 + 0.145619i
\(759\) −0.754526 + 1.03852i −0.0273875 + 0.0376957i
\(760\) 28.9002 + 23.2139i 1.04832 + 0.842056i
\(761\) 12.0621 + 16.6021i 0.437252 + 0.601825i 0.969599 0.244701i \(-0.0786898\pi\)
−0.532347 + 0.846526i \(0.678690\pi\)
\(762\) 4.01575 2.49569i 0.145475 0.0904092i
\(763\) 4.05733 + 2.94782i 0.146885 + 0.106718i
\(764\) 8.49796 + 1.23672i 0.307445 + 0.0447428i
\(765\) −9.39180 27.8311i −0.339561 1.00624i
\(766\) −19.1677 + 11.9122i −0.692556 + 0.430406i
\(767\) −4.55153 + 8.93288i −0.164346 + 0.322548i
\(768\) −2.08766 41.5080i −0.0753319 1.49779i
\(769\) 17.9194 5.82237i 0.646190 0.209960i 0.0324567 0.999473i \(-0.489667\pi\)
0.613734 + 0.789513i \(0.289667\pi\)
\(770\) −0.582029 0.0355247i −0.0209749 0.00128022i
\(771\) −28.7626 + 14.6553i −1.03586 + 0.527797i
\(772\) 14.1010 45.3283i 0.507506 1.63140i
\(773\) −24.7961 34.1290i −0.891855