Properties

Label 462.2.bc.b.107.3
Level $462$
Weight $2$
Character 462.107
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 107.3
Character \(\chi\) \(=\) 462.107
Dual form 462.2.bc.b.95.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 - 0.994522i) q^{2} +(-1.60606 - 0.648515i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-0.565716 - 1.27062i) q^{5} +(-0.477084 + 1.66505i) q^{6} +(0.339893 + 2.62383i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.15886 + 2.08311i) q^{9} +O(q^{10})\) \(q+(-0.104528 - 0.994522i) q^{2} +(-1.60606 - 0.648515i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-0.565716 - 1.27062i) q^{5} +(-0.477084 + 1.66505i) q^{6} +(0.339893 + 2.62383i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.15886 + 2.08311i) q^{9} +(-1.20453 + 0.695433i) q^{10} +(-2.19545 + 2.48596i) q^{11} +(1.70580 + 0.300425i) q^{12} +(0.0211702 + 0.0291382i) q^{13} +(2.57393 - 0.612296i) q^{14} +(0.0845576 + 2.40757i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-0.0282439 + 0.268723i) q^{17} +(1.84604 - 2.36477i) q^{18} +(-0.429111 + 2.01881i) q^{19} +(0.817530 + 1.12523i) q^{20} +(1.15570 - 4.43445i) q^{21} +(2.70183 + 1.92357i) q^{22} +(6.12090 + 3.53390i) q^{23} +(0.120475 - 1.72786i) q^{24} +(2.05121 - 2.27810i) q^{25} +(0.0267657 - 0.0241000i) q^{26} +(-2.11632 - 4.74565i) q^{27} +(-0.877990 - 2.49582i) q^{28} +(-0.0314788 + 0.0968816i) q^{29} +(2.38554 - 0.335754i) q^{30} +(5.54534 + 2.46894i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(5.13820 - 2.56882i) q^{33} +0.270203 q^{34} +(3.14160 - 1.91622i) q^{35} +(-2.54478 - 1.58874i) q^{36} +(1.90948 + 2.12070i) q^{37} +(2.05260 + 0.215737i) q^{38} +(-0.0151039 - 0.0605269i) q^{39} +(1.03361 - 0.930671i) q^{40} +(-0.326334 - 1.00435i) q^{41} +(-4.53096 - 0.685847i) q^{42} +6.49525i q^{43} +(1.63061 - 2.88810i) q^{44} +(1.42554 - 3.92153i) q^{45} +(2.87474 - 6.45677i) q^{46} +(-0.867439 + 4.08098i) q^{47} +(-1.73098 + 0.0607950i) q^{48} +(-6.76895 + 1.78364i) q^{49} +(-2.48004 - 1.80185i) q^{50} +(0.219632 - 0.413268i) q^{51} +(-0.0267657 - 0.0241000i) q^{52} +(-5.38668 + 12.0987i) q^{53} +(-4.49844 + 2.60078i) q^{54} +(4.40071 + 1.38323i) q^{55} +(-2.39038 + 1.13407i) q^{56} +(1.99841 - 2.96404i) q^{57} +(0.0996413 + 0.0211794i) q^{58} +(-0.697676 - 3.28231i) q^{59} +(-0.583271 - 2.33737i) q^{60} +(-2.99407 - 6.72479i) q^{61} +(1.87577 - 5.77303i) q^{62} +(-4.73194 + 6.37250i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(0.0250473 - 0.0433832i) q^{65} +(-3.09184 - 4.84154i) q^{66} +(4.57840 + 7.93002i) q^{67} +(-0.0282439 - 0.268723i) q^{68} +(-7.53874 - 9.64516i) q^{69} +(-2.23411 - 2.92409i) q^{70} +(-2.58012 + 3.55124i) q^{71} +(-1.31403 + 2.69691i) q^{72} +(1.67822 + 7.89542i) q^{73} +(1.90948 - 2.12070i) q^{74} +(-4.77176 + 2.32853i) q^{75} -2.06391i q^{76} +(-7.26896 - 4.91551i) q^{77} +(-0.0586165 + 0.0213480i) q^{78} +(1.73217 - 0.182059i) q^{79} +(-1.03361 - 0.930671i) q^{80} +(0.321313 + 8.99426i) q^{81} +(-0.964741 + 0.429530i) q^{82} +(-13.4850 - 9.79746i) q^{83} +(-0.208475 + 4.57783i) q^{84} +(0.357422 - 0.116133i) q^{85} +(6.45967 - 0.678939i) q^{86} +(0.113386 - 0.135183i) q^{87} +(-3.04272 - 1.31979i) q^{88} +(4.76764 + 2.75260i) q^{89} +(-4.04906 - 1.00782i) q^{90} +(-0.0692581 + 0.0654507i) q^{91} +(-6.72189 - 2.18407i) q^{92} +(-7.30499 - 7.56151i) q^{93} +(4.14929 + 0.436108i) q^{94} +(2.80789 - 0.596836i) q^{95} +(0.241399 + 1.71515i) q^{96} +(14.5867 - 10.5979i) q^{97} +(2.48142 + 6.54542i) q^{98} +(-9.91818 + 0.793481i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} + O(q^{10}) \) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} - 6q^{11} - 12q^{15} + 16q^{16} - 2q^{17} - 4q^{18} + 2q^{22} - 12q^{25} - 18q^{27} - 5q^{28} + 38q^{29} + 6q^{30} - 3q^{31} - 64q^{32} + 28q^{33} - 16q^{34} - 31q^{35} + 8q^{36} + 2q^{37} - 2q^{39} + 5q^{40} + 16q^{41} - 13q^{42} - q^{44} + 28q^{45} + 38q^{49} + 34q^{50} + 4q^{51} + 25q^{53} - 6q^{54} - 42q^{55} - 100q^{57} - 19q^{58} + 40q^{59} - 4q^{60} + 40q^{61} - 4q^{62} - 106q^{63} - 32q^{64} + 20q^{65} - 7q^{66} + 16q^{67} - 2q^{68} - 68q^{69} - 21q^{70} + 80q^{71} - 4q^{72} + 10q^{73} + 2q^{74} - 14q^{75} + q^{77} - 16q^{78} - 5q^{80} + 32q^{81} - 8q^{82} - 92q^{83} + 8q^{84} - 100q^{85} - 40q^{86} - 38q^{87} - q^{88} + 4q^{90} + 12q^{91} - 20q^{92} - 33q^{93} + 40q^{94} + 38q^{95} - 16q^{97} + 18q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 0.994522i −0.0739128 0.703233i
\(3\) −1.60606 0.648515i −0.927259 0.374421i
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) −0.565716 1.27062i −0.252996 0.568238i 0.741743 0.670685i \(-0.234000\pi\)
−0.994739 + 0.102447i \(0.967333\pi\)
\(6\) −0.477084 + 1.66505i −0.194769 + 0.679754i
\(7\) 0.339893 + 2.62383i 0.128468 + 0.991714i
\(8\) 0.309017 + 0.951057i 0.109254 + 0.336249i
\(9\) 2.15886 + 2.08311i 0.719618 + 0.694370i
\(10\) −1.20453 + 0.695433i −0.380904 + 0.219915i
\(11\) −2.19545 + 2.48596i −0.661952 + 0.749546i
\(12\) 1.70580 + 0.300425i 0.492421 + 0.0867253i
\(13\) 0.0211702 + 0.0291382i 0.00587154 + 0.00808149i 0.811943 0.583737i \(-0.198410\pi\)
−0.806071 + 0.591819i \(0.798410\pi\)
\(14\) 2.57393 0.612296i 0.687911 0.163643i
\(15\) 0.0845576 + 2.40757i 0.0218327 + 0.621631i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) −0.0282439 + 0.268723i −0.00685015 + 0.0651748i −0.997413 0.0718849i \(-0.977099\pi\)
0.990563 + 0.137060i \(0.0437652\pi\)
\(18\) 1.84604 2.36477i 0.435115 0.557382i
\(19\) −0.429111 + 2.01881i −0.0984449 + 0.463147i 0.901118 + 0.433574i \(0.142748\pi\)
−0.999563 + 0.0295723i \(0.990585\pi\)
\(20\) 0.817530 + 1.12523i 0.182805 + 0.251610i
\(21\) 1.15570 4.43445i 0.252195 0.967676i
\(22\) 2.70183 + 1.92357i 0.576032 + 0.410106i
\(23\) 6.12090 + 3.53390i 1.27630 + 0.736870i 0.976165 0.217028i \(-0.0696363\pi\)
0.300131 + 0.953898i \(0.402970\pi\)
\(24\) 0.120475 1.72786i 0.0245919 0.352697i
\(25\) 2.05121 2.27810i 0.410243 0.455621i
\(26\) 0.0267657 0.0241000i 0.00524919 0.00472639i
\(27\) −2.11632 4.74565i −0.407286 0.913300i
\(28\) −0.877990 2.49582i −0.165925 0.471666i
\(29\) −0.0314788 + 0.0968816i −0.00584546 + 0.0179905i −0.953937 0.300008i \(-0.903011\pi\)
0.948091 + 0.317998i \(0.103011\pi\)
\(30\) 2.38554 0.335754i 0.435538 0.0612999i
\(31\) 5.54534 + 2.46894i 0.995972 + 0.443435i 0.838979 0.544164i \(-0.183153\pi\)
0.156993 + 0.987600i \(0.449820\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 5.13820 2.56882i 0.894447 0.447175i
\(34\) 0.270203 0.0463394
\(35\) 3.14160 1.91622i 0.531028 0.323900i
\(36\) −2.54478 1.58874i −0.424130 0.264789i
\(37\) 1.90948 + 2.12070i 0.313917 + 0.348640i 0.879369 0.476141i \(-0.157965\pi\)
−0.565452 + 0.824781i \(0.691298\pi\)
\(38\) 2.05260 + 0.215737i 0.332976 + 0.0349972i
\(39\) −0.0151039 0.0605269i −0.00241857 0.00969206i
\(40\) 1.03361 0.930671i 0.163429 0.147152i
\(41\) −0.326334 1.00435i −0.0509649 0.156854i 0.922335 0.386391i \(-0.126279\pi\)
−0.973300 + 0.229538i \(0.926279\pi\)
\(42\) −4.53096 0.685847i −0.699143 0.105828i
\(43\) 6.49525i 0.990516i 0.868746 + 0.495258i \(0.164927\pi\)
−0.868746 + 0.495258i \(0.835073\pi\)
\(44\) 1.63061 2.88810i 0.245824 0.435397i
\(45\) 1.42554 3.92153i 0.212507 0.584587i
\(46\) 2.87474 6.45677i 0.423857 0.951998i
\(47\) −0.867439 + 4.08098i −0.126529 + 0.595272i 0.868500 + 0.495689i \(0.165084\pi\)
−0.995029 + 0.0995832i \(0.968249\pi\)
\(48\) −1.73098 + 0.0607950i −0.249846 + 0.00877500i
\(49\) −6.76895 + 1.78364i −0.966992 + 0.254806i
\(50\) −2.48004 1.80185i −0.350730 0.254820i
\(51\) 0.219632 0.413268i 0.0307546 0.0578691i
\(52\) −0.0267657 0.0241000i −0.00371174 0.00334206i
\(53\) −5.38668 + 12.0987i −0.739917 + 1.66188i 0.00965146 + 0.999953i \(0.496928\pi\)
−0.749568 + 0.661927i \(0.769739\pi\)
\(54\) −4.49844 + 2.60078i −0.612160 + 0.353922i
\(55\) 4.40071 + 1.38323i 0.593392 + 0.186514i
\(56\) −2.39038 + 1.13407i −0.319427 + 0.151546i
\(57\) 1.99841 2.96404i 0.264696 0.392597i
\(58\) 0.0996413 + 0.0211794i 0.0130835 + 0.00278099i
\(59\) −0.697676 3.28231i −0.0908297 0.427320i −0.999942 0.0107691i \(-0.996572\pi\)
0.909112 0.416551i \(-0.136761\pi\)
\(60\) −0.583271 2.33737i −0.0753000 0.301754i
\(61\) −2.99407 6.72479i −0.383351 0.861021i −0.997421 0.0717692i \(-0.977136\pi\)
0.614070 0.789251i \(-0.289531\pi\)
\(62\) 1.87577 5.77303i 0.238223 0.733176i
\(63\) −4.73194 + 6.37250i −0.596168 + 0.802859i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) 0.0250473 0.0433832i 0.00310673 0.00538102i
\(66\) −3.09184 4.84154i −0.380579 0.595953i
\(67\) 4.57840 + 7.93002i 0.559340 + 0.968806i 0.997552 + 0.0699340i \(0.0222789\pi\)
−0.438211 + 0.898872i \(0.644388\pi\)
\(68\) −0.0282439 0.268723i −0.00342507 0.0325874i
\(69\) −7.53874 9.64516i −0.907558 1.16114i
\(70\) −2.23411 2.92409i −0.267027 0.349496i
\(71\) −2.58012 + 3.55124i −0.306204 + 0.421454i −0.934193 0.356768i \(-0.883879\pi\)
0.627988 + 0.778223i \(0.283879\pi\)
\(72\) −1.31403 + 2.69691i −0.154860 + 0.317834i
\(73\) 1.67822 + 7.89542i 0.196421 + 0.924089i 0.960352 + 0.278791i \(0.0899336\pi\)
−0.763931 + 0.645298i \(0.776733\pi\)
\(74\) 1.90948 2.12070i 0.221973 0.246526i
\(75\) −4.77176 + 2.32853i −0.550995 + 0.268875i
\(76\) 2.06391i 0.236747i
\(77\) −7.26896 4.91551i −0.828375 0.560175i
\(78\) −0.0586165 + 0.0213480i −0.00663701 + 0.00241718i
\(79\) 1.73217 0.182059i 0.194885 0.0204832i −0.00658316 0.999978i \(-0.502096\pi\)
0.201468 + 0.979495i \(0.435429\pi\)
\(80\) −1.03361 0.930671i −0.115562 0.104052i
\(81\) 0.321313 + 8.99426i 0.0357015 + 0.999362i
\(82\) −0.964741 + 0.429530i −0.106538 + 0.0474337i
\(83\) −13.4850 9.79746i −1.48018 1.07541i −0.977500 0.210936i \(-0.932349\pi\)
−0.502676 0.864475i \(-0.667651\pi\)
\(84\) −0.208475 + 4.57783i −0.0227465 + 0.499482i
\(85\) 0.357422 0.116133i 0.0387679 0.0125964i
\(86\) 6.45967 0.678939i 0.696564 0.0732118i
\(87\) 0.113386 0.135183i 0.0121563 0.0144932i
\(88\) −3.04272 1.31979i −0.324355 0.140690i
\(89\) 4.76764 + 2.75260i 0.505369 + 0.291775i 0.730928 0.682455i \(-0.239088\pi\)
−0.225559 + 0.974229i \(0.572421\pi\)
\(90\) −4.04906 1.00782i −0.426808 0.106233i
\(91\) −0.0692581 + 0.0654507i −0.00726022 + 0.00686110i
\(92\) −6.72189 2.18407i −0.700805 0.227705i
\(93\) −7.30499 7.56151i −0.757493 0.784092i
\(94\) 4.14929 + 0.436108i 0.427967 + 0.0449812i
\(95\) 2.80789 0.596836i 0.288084 0.0612341i
\(96\) 0.241399 + 1.71515i 0.0246377 + 0.175051i
\(97\) 14.5867 10.5979i 1.48106 1.07605i 0.503843 0.863796i \(-0.331919\pi\)
0.977214 0.212255i \(-0.0680808\pi\)
\(98\) 2.48142 + 6.54542i 0.250661 + 0.661188i
\(99\) −9.91818 + 0.793481i −0.996815 + 0.0797478i
\(100\) −1.53275 + 2.65479i −0.153275 + 0.265479i
\(101\) −1.71739 0.764632i −0.170887 0.0760838i 0.319510 0.947583i \(-0.396482\pi\)
−0.490397 + 0.871499i \(0.663148\pi\)
\(102\) −0.433962 0.175231i −0.0429686 0.0173504i
\(103\) 4.62294 + 5.13429i 0.455512 + 0.505897i 0.926527 0.376228i \(-0.122779\pi\)
−0.471015 + 0.882125i \(0.656112\pi\)
\(104\) −0.0211702 + 0.0291382i −0.00207590 + 0.00285724i
\(105\) −6.28830 + 1.04018i −0.613675 + 0.101511i
\(106\) 12.5955 + 4.09251i 1.22338 + 0.397500i
\(107\) 6.10284 + 1.29720i 0.589984 + 0.125405i 0.493223 0.869903i \(-0.335819\pi\)
0.0967604 + 0.995308i \(0.469152\pi\)
\(108\) 3.05675 + 4.20194i 0.294136 + 0.404332i
\(109\) −10.4429 + 6.02923i −1.00025 + 0.577496i −0.908323 0.418270i \(-0.862637\pi\)
−0.0919290 + 0.995766i \(0.529303\pi\)
\(110\) 0.915650 4.52119i 0.0873038 0.431079i
\(111\) −1.69144 4.64430i −0.160544 0.440817i
\(112\) 1.37771 + 2.25874i 0.130182 + 0.213431i
\(113\) −9.12194 + 2.96390i −0.858120 + 0.278820i −0.704843 0.709363i \(-0.748983\pi\)
−0.153277 + 0.988183i \(0.548983\pi\)
\(114\) −3.15670 1.67763i −0.295652 0.157125i
\(115\) 1.02755 9.77652i 0.0958199 0.911666i
\(116\) 0.0106480 0.101309i 0.000988646 0.00940634i
\(117\) −0.0149948 + 0.107005i −0.00138627 + 0.00989261i
\(118\) −3.19140 + 1.03695i −0.293792 + 0.0954589i
\(119\) −0.714682 + 0.0172299i −0.0655147 + 0.00157946i
\(120\) −2.26360 + 0.824398i −0.206638 + 0.0752569i
\(121\) −1.36003 10.9156i −0.123639 0.992327i
\(122\) −6.37498 + 3.68060i −0.577164 + 0.333226i
\(123\) −0.127227 + 1.82468i −0.0114716 + 0.164526i
\(124\) −5.93748 1.26205i −0.533201 0.113335i
\(125\) −10.6690 3.46656i −0.954262 0.310058i
\(126\) 6.83221 + 4.03991i 0.608662 + 0.359904i
\(127\) −7.09279 + 9.76238i −0.629383 + 0.866271i −0.997994 0.0633125i \(-0.979834\pi\)
0.368611 + 0.929584i \(0.379834\pi\)
\(128\) 0.669131 + 0.743145i 0.0591433 + 0.0656853i
\(129\) 4.21227 10.4318i 0.370870 0.918465i
\(130\) −0.0457637 0.0203753i −0.00401374 0.00178703i
\(131\) −10.4035 + 18.0194i −0.908959 + 1.57436i −0.0934464 + 0.995624i \(0.529788\pi\)
−0.815513 + 0.578739i \(0.803545\pi\)
\(132\) −4.49183 + 3.58098i −0.390964 + 0.311684i
\(133\) −5.44286 0.439734i −0.471956 0.0381298i
\(134\) 7.40800 5.38223i 0.639954 0.464954i
\(135\) −4.83267 + 5.37373i −0.415930 + 0.462497i
\(136\) −0.264298 + 0.0561783i −0.0226634 + 0.00481725i
\(137\) 0.763672 + 0.0802651i 0.0652449 + 0.00685751i 0.137095 0.990558i \(-0.456224\pi\)
−0.0718498 + 0.997415i \(0.522890\pi\)
\(138\) −8.80431 + 8.50564i −0.749473 + 0.724048i
\(139\) 17.7480 + 5.76666i 1.50536 + 0.489122i 0.941577 0.336799i \(-0.109344\pi\)
0.563786 + 0.825921i \(0.309344\pi\)
\(140\) −2.67455 + 2.52752i −0.226041 + 0.213614i
\(141\) 4.03974 5.99175i 0.340207 0.504596i
\(142\) 3.80148 + 2.19478i 0.319013 + 0.184182i
\(143\) −0.118914 0.0113432i −0.00994413 0.000948564i
\(144\) 2.81949 + 1.02493i 0.234957 + 0.0854108i
\(145\) 0.140908 0.0148100i 0.0117017 0.00122990i
\(146\) 7.67675 2.49433i 0.635332 0.206432i
\(147\) 12.0280 + 1.52513i 0.992057 + 0.125791i
\(148\) −2.30867 1.67735i −0.189772 0.137877i
\(149\) 13.7881 6.13887i 1.12957 0.502916i 0.245091 0.969500i \(-0.421182\pi\)
0.884477 + 0.466584i \(0.154516\pi\)
\(150\) 2.81456 + 4.50222i 0.229808 + 0.367605i
\(151\) −6.25365 5.63081i −0.508915 0.458229i 0.374225 0.927338i \(-0.377909\pi\)
−0.883141 + 0.469109i \(0.844575\pi\)
\(152\) −2.05260 + 0.215737i −0.166488 + 0.0174986i
\(153\) −0.620753 + 0.521298i −0.0501849 + 0.0421444i
\(154\) −4.12877 + 7.74295i −0.332706 + 0.623945i
\(155\) 8.44273i 0.678137i
\(156\) 0.0273581 + 0.0560639i 0.00219040 + 0.00448871i
\(157\) 7.16210 7.95432i 0.571598 0.634824i −0.386149 0.922436i \(-0.626195\pi\)
0.957747 + 0.287613i \(0.0928616\pi\)
\(158\) −0.362123 1.70365i −0.0288089 0.135535i
\(159\) 16.4975 15.9378i 1.30834 1.26395i
\(160\) −0.817530 + 1.12523i −0.0646315 + 0.0889576i
\(161\) −7.19191 + 17.2613i −0.566802 + 1.36038i
\(162\) 8.91140 1.25971i 0.700146 0.0989721i
\(163\) 0.666346 + 6.33986i 0.0521922 + 0.496576i 0.989126 + 0.147069i \(0.0469841\pi\)
−0.936934 + 0.349506i \(0.886349\pi\)
\(164\) 0.528020 + 0.914558i 0.0412314 + 0.0714149i
\(165\) −6.17076 5.07548i −0.480393 0.395125i
\(166\) −8.33422 + 14.4353i −0.646861 + 1.12040i
\(167\) −1.44791 + 1.05197i −0.112043 + 0.0814037i −0.642396 0.766373i \(-0.722059\pi\)
0.530353 + 0.847777i \(0.322059\pi\)
\(168\) 4.57454 0.271180i 0.352934 0.0209220i
\(169\) 4.01682 12.3625i 0.308986 0.950962i
\(170\) −0.152858 0.343325i −0.0117237 0.0263318i
\(171\) −5.13179 + 3.46443i −0.392438 + 0.264932i
\(172\) −1.35044 6.35331i −0.102970 0.484436i
\(173\) 6.67440 + 1.41869i 0.507446 + 0.107861i 0.454518 0.890737i \(-0.349811\pi\)
0.0529274 + 0.998598i \(0.483145\pi\)
\(174\) −0.146295 0.0986344i −0.0110906 0.00747745i
\(175\) 6.67455 + 4.60772i 0.504548 + 0.348311i
\(176\) −0.994508 + 3.16401i −0.0749639 + 0.238496i
\(177\) −1.00812 + 5.72404i −0.0757748 + 0.430245i
\(178\) 2.23916 5.02925i 0.167832 0.376958i
\(179\) 6.77138 + 6.09698i 0.506117 + 0.455710i 0.882199 0.470877i \(-0.156062\pi\)
−0.376082 + 0.926586i \(0.622729\pi\)
\(180\) −0.579055 + 4.13222i −0.0431602 + 0.307998i
\(181\) −14.4911 10.5284i −1.07711 0.782567i −0.0999346 0.994994i \(-0.531863\pi\)
−0.977177 + 0.212427i \(0.931863\pi\)
\(182\) 0.0723316 + 0.0620372i 0.00536158 + 0.00459850i
\(183\) 0.447524 + 12.7421i 0.0330819 + 0.941924i
\(184\) −1.46948 + 6.91336i −0.108332 + 0.509660i
\(185\) 1.61437 3.62594i 0.118691 0.266584i
\(186\) −6.75650 + 8.05537i −0.495411 + 0.590648i
\(187\) −0.606026 0.660179i −0.0443170 0.0482771i
\(188\) 4.17215i 0.304285i
\(189\) 11.7324 7.16588i 0.853410 0.521241i
\(190\) −0.887071 2.73013i −0.0643549 0.198064i
\(191\) 18.9382 17.0520i 1.37032 1.23384i 0.426035 0.904707i \(-0.359910\pi\)
0.944284 0.329133i \(-0.106756\pi\)
\(192\) 1.68052 0.419358i 0.121281 0.0302646i
\(193\) −13.1750 1.38474i −0.948354 0.0996761i −0.382295 0.924040i \(-0.624866\pi\)
−0.566060 + 0.824364i \(0.691533\pi\)
\(194\) −12.0645 13.3990i −0.866184 0.961994i
\(195\) −0.0683621 + 0.0534324i −0.00489551 + 0.00382637i
\(196\) 6.25019 3.15201i 0.446442 0.225143i
\(197\) 17.8744 1.27350 0.636749 0.771071i \(-0.280279\pi\)
0.636749 + 0.771071i \(0.280279\pi\)
\(198\) 1.82587 + 9.78091i 0.129759 + 0.695099i
\(199\) −7.57275 13.1164i −0.536818 0.929796i −0.999073 0.0430486i \(-0.986293\pi\)
0.462255 0.886747i \(-0.347040\pi\)
\(200\) 2.80047 + 1.24685i 0.198023 + 0.0881655i
\(201\) −2.21044 15.7052i −0.155913 1.10776i
\(202\) −0.580927 + 1.78791i −0.0408739 + 0.125797i
\(203\) −0.264900 0.0496654i −0.0185923 0.00348583i
\(204\) −0.128909 + 0.449901i −0.00902546 + 0.0314994i
\(205\) −1.09154 + 0.982826i −0.0762364 + 0.0686435i
\(206\) 4.62294 5.13429i 0.322095 0.357723i
\(207\) 5.85263 + 20.3797i 0.406786 + 1.41649i
\(208\) 0.0311915 + 0.0180084i 0.00216274 + 0.00124866i
\(209\) −4.07660 5.49894i −0.281984 0.380370i
\(210\) 1.69179 + 6.14512i 0.116744 + 0.424054i
\(211\) −14.8535 20.4441i −1.02256 1.40743i −0.910396 0.413738i \(-0.864223\pi\)
−0.112160 0.993690i \(-0.535777\pi\)
\(212\) 2.75351 12.9542i 0.189112 0.889701i
\(213\) 6.44687 4.03025i 0.441732 0.276148i
\(214\) 0.652172 6.20500i 0.0445815 0.424165i
\(215\) 8.25299 3.67447i 0.562849 0.250597i
\(216\) 3.85940 3.47923i 0.262599 0.236731i
\(217\) −4.59326 + 15.3892i −0.311811 + 1.04469i
\(218\) 7.08779 + 9.75550i 0.480045 + 0.660726i
\(219\) 2.42498 13.7689i 0.163865 0.930414i
\(220\) −4.59214 0.438041i −0.309602 0.0295327i
\(221\) −0.00842802 + 0.00486592i −0.000566930 + 0.000327317i
\(222\) −4.44205 + 2.16764i −0.298131 + 0.145482i
\(223\) 4.23205 + 13.0249i 0.283399 + 0.872213i 0.986874 + 0.161492i \(0.0516307\pi\)
−0.703475 + 0.710720i \(0.748369\pi\)
\(224\) 2.10235 1.60627i 0.140470 0.107323i
\(225\) 9.17382 0.645195i 0.611588 0.0430130i
\(226\) 3.90116 + 8.76216i 0.259501 + 0.582850i
\(227\) −10.8818 + 2.31299i −0.722249 + 0.153519i −0.554348 0.832285i \(-0.687032\pi\)
−0.167901 + 0.985804i \(0.553699\pi\)
\(228\) −1.33848 + 3.31476i −0.0886429 + 0.219526i
\(229\) −2.74827 26.1480i −0.181611 1.72791i −0.583406 0.812181i \(-0.698280\pi\)
0.401795 0.915730i \(-0.368386\pi\)
\(230\) −9.83038 −0.648196
\(231\) 8.48659 + 12.6086i 0.558377 + 0.829587i
\(232\) −0.101867 −0.00668792
\(233\) −0.416357 3.96137i −0.0272764 0.259518i −0.999659 0.0261240i \(-0.991684\pi\)
0.972382 0.233394i \(-0.0749831\pi\)
\(234\) 0.107986 + 0.00372758i 0.00705927 + 0.000243679i
\(235\) 5.67609 1.20649i 0.370268 0.0787028i
\(236\) 1.36486 + 3.06553i 0.0888449 + 0.199549i
\(237\) −2.90004 0.830944i −0.188378 0.0539756i
\(238\) 0.0918401 + 0.708965i 0.00595311 + 0.0459554i
\(239\) −5.36063 16.4983i −0.346750 1.06719i −0.960640 0.277796i \(-0.910396\pi\)
0.613890 0.789391i \(-0.289604\pi\)
\(240\) 1.05649 + 2.16503i 0.0681963 + 0.139752i
\(241\) −6.07195 + 3.50564i −0.391129 + 0.225818i −0.682649 0.730746i \(-0.739172\pi\)
0.291520 + 0.956565i \(0.405839\pi\)
\(242\) −10.7136 + 2.49357i −0.688699 + 0.160293i
\(243\) 5.31687 14.6537i 0.341077 0.940035i
\(244\) 4.32680 + 5.95533i 0.276995 + 0.381251i
\(245\) 6.09563 + 7.59172i 0.389436 + 0.485017i
\(246\) 1.82799 0.0642019i 0.116548 0.00409337i
\(247\) −0.0679089 + 0.0302350i −0.00432094 + 0.00192381i
\(248\) −0.634501 + 6.03687i −0.0402909 + 0.383342i
\(249\) 15.3040 + 24.4806i 0.969851 + 1.55139i
\(250\) −2.33236 + 10.9729i −0.147511 + 0.693986i
\(251\) 1.01915 + 1.40273i 0.0643279 + 0.0885397i 0.839969 0.542635i \(-0.182573\pi\)
−0.775641 + 0.631174i \(0.782573\pi\)
\(252\) 3.30362 7.21707i 0.208108 0.454633i
\(253\) −22.2233 + 7.45784i −1.39717 + 0.468870i
\(254\) 10.4503 + 6.03348i 0.655710 + 0.378574i
\(255\) −0.649355 0.0452764i −0.0406642 0.00283532i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) 10.3606 9.32872i 0.646276 0.581910i −0.279424 0.960168i \(-0.590143\pi\)
0.925700 + 0.378258i \(0.123477\pi\)
\(258\) −10.8149 3.09878i −0.673307 0.192922i
\(259\) −4.91532 + 5.73097i −0.305423 + 0.356105i
\(260\) −0.0154801 + 0.0476428i −0.000960033 + 0.00295468i
\(261\) −0.269773 + 0.143580i −0.0166985 + 0.00888736i
\(262\) 19.0082 + 8.46298i 1.17433 + 0.522845i
\(263\) 1.31498 + 2.27762i 0.0810853 + 0.140444i 0.903716 0.428132i \(-0.140828\pi\)
−0.822631 + 0.568576i \(0.807495\pi\)
\(264\) 4.03089 + 4.09291i 0.248084 + 0.251901i
\(265\) 18.4201 1.13154
\(266\) 0.131608 + 5.45901i 0.00806943 + 0.334713i
\(267\) −5.87201 7.51272i −0.359361 0.459771i
\(268\) −6.12709 6.80483i −0.374272 0.415671i
\(269\) 29.8550 + 3.13789i 1.82029 + 0.191320i 0.952280 0.305226i \(-0.0987319\pi\)
0.868011 + 0.496546i \(0.165399\pi\)
\(270\) 5.84944 + 4.24449i 0.355986 + 0.258312i
\(271\) −13.9317 + 12.5442i −0.846293 + 0.762005i −0.973212 0.229908i \(-0.926158\pi\)
0.126920 + 0.991913i \(0.459491\pi\)
\(272\) 0.0834972 + 0.256978i 0.00506276 + 0.0155816i
\(273\) 0.153678 0.0602028i 0.00930104 0.00364364i
\(274\) 0.767878i 0.0463892i
\(275\) 1.15995 + 10.1007i 0.0699478 + 0.609095i
\(276\) 9.37935 + 7.86700i 0.564570 + 0.473538i
\(277\) 8.61777 19.3558i 0.517792 1.16298i −0.445686 0.895189i \(-0.647040\pi\)
0.963477 0.267789i \(-0.0862931\pi\)
\(278\) 3.87990 18.2535i 0.232701 1.09477i
\(279\) 6.82850 + 16.8816i 0.408812 + 1.01068i
\(280\) 2.79324 + 2.39570i 0.166928 + 0.143170i
\(281\) 21.0039 + 15.2602i 1.25299 + 0.910349i 0.998391 0.0566990i \(-0.0180575\pi\)
0.254596 + 0.967048i \(0.418058\pi\)
\(282\) −6.38119 3.39130i −0.379994 0.201949i
\(283\) −14.9353 13.4478i −0.887811 0.799389i 0.0927322 0.995691i \(-0.470440\pi\)
−0.980543 + 0.196302i \(0.937107\pi\)
\(284\) 1.78540 4.01007i 0.105944 0.237954i
\(285\) −4.89670 0.862408i −0.290056 0.0510846i
\(286\) 0.00114891 + 0.119449i 6.79366e−5 + 0.00706315i
\(287\) 2.52433 1.19762i 0.149007 0.0706932i
\(288\) 0.724598 2.91118i 0.0426973 0.171543i
\(289\) 16.5571 + 3.51932i 0.973947 + 0.207019i
\(290\) −0.0294577 0.138588i −0.00172982 0.00813815i
\(291\) −30.3000 + 7.56110i −1.77622 + 0.443240i
\(292\) −3.28310 7.37397i −0.192129 0.431529i
\(293\) −7.53430 + 23.1882i −0.440159 + 1.35467i 0.447548 + 0.894260i \(0.352297\pi\)
−0.887707 + 0.460409i \(0.847703\pi\)
\(294\) 0.259501 12.1216i 0.0151344 0.706945i
\(295\) −3.77588 + 2.74334i −0.219840 + 0.159723i
\(296\) −1.42684 + 2.47136i −0.0829334 + 0.143645i
\(297\) 16.4438 + 5.15772i 0.954165 + 0.299281i
\(298\) −7.54649 13.0709i −0.437157 0.757178i
\(299\) 0.0266088 + 0.253165i 0.00153882 + 0.0146409i
\(300\) 4.18336 3.26975i 0.241526 0.188779i
\(301\) −17.0424 + 2.20769i −0.982309 + 0.127249i
\(302\) −4.94628 + 6.80798i −0.284627 + 0.391755i
\(303\) 2.26236 + 2.34180i 0.129969 + 0.134533i
\(304\) 0.429111 + 2.01881i 0.0246112 + 0.115787i
\(305\) −6.85085 + 7.60864i −0.392278 + 0.435669i
\(306\) 0.583329 + 0.562862i 0.0333467 + 0.0321767i
\(307\) 28.0207i 1.59923i 0.600515 + 0.799613i \(0.294962\pi\)
−0.600515 + 0.799613i \(0.705038\pi\)
\(308\) 8.13211 + 3.29680i 0.463370 + 0.187852i
\(309\) −4.09505 11.2440i −0.232959 0.639650i
\(310\) −8.39648 + 0.882506i −0.476888 + 0.0501230i
\(311\) −7.41490 6.67640i −0.420460 0.378584i 0.431568 0.902081i \(-0.357961\pi\)
−0.852028 + 0.523497i \(0.824627\pi\)
\(312\) 0.0528971 0.0330685i 0.00299471 0.00187214i
\(313\) 2.39053 1.06433i 0.135121 0.0601597i −0.338062 0.941124i \(-0.609771\pi\)
0.473183 + 0.880964i \(0.343105\pi\)
\(314\) −8.65939 6.29141i −0.488678 0.355045i
\(315\) 10.7740 + 2.40747i 0.607044 + 0.135645i
\(316\) −1.65647 + 0.538219i −0.0931837 + 0.0302772i
\(317\) 1.14629 0.120480i 0.0643821 0.00676683i −0.0722826 0.997384i \(-0.523028\pi\)
0.136665 + 0.990617i \(0.456362\pi\)
\(318\) −17.5750 14.7412i −0.985557 0.826643i
\(319\) −0.171734 0.290953i −0.00961527 0.0162903i
\(320\) 1.20453 + 0.695433i 0.0673350 + 0.0388759i
\(321\) −8.96027 6.04116i −0.500113 0.337185i
\(322\) 17.9185 + 5.34821i 0.998561 + 0.298044i
\(323\) −0.530380 0.172331i −0.0295111 0.00958875i
\(324\) −2.18430 8.73091i −0.121350 0.485051i
\(325\) 0.109804 + 0.0115409i 0.00609085 + 0.000640175i
\(326\) 6.23547 1.32539i 0.345351 0.0734066i
\(327\) 20.6820 2.91090i 1.14372 0.160973i
\(328\) 0.854354 0.620725i 0.0471738 0.0342738i
\(329\) −11.0026 0.888913i −0.606594 0.0490074i
\(330\) −4.40265 + 6.66749i −0.242358 + 0.367033i
\(331\) 14.9715 25.9314i 0.822909 1.42532i −0.0805973 0.996747i \(-0.525683\pi\)
0.903507 0.428574i \(-0.140984\pi\)
\(332\) 15.2274 + 6.77966i 0.835711 + 0.372082i
\(333\) −0.295343 + 8.55594i −0.0161847 + 0.468863i
\(334\) 1.19755 + 1.33002i 0.0655272 + 0.0727753i
\(335\) 7.48596 10.3035i 0.409002 0.562943i
\(336\) −0.747865 4.52114i −0.0407994 0.246648i
\(337\) −10.6256 3.45246i −0.578813 0.188068i 0.00495597 0.999988i \(-0.498422\pi\)
−0.583769 + 0.811920i \(0.698422\pi\)
\(338\) −12.7146 2.70258i −0.691586 0.147001i
\(339\) 16.5725 + 1.15552i 0.900095 + 0.0627593i
\(340\) −0.325466 + 0.187908i −0.0176509 + 0.0101907i
\(341\) −18.3122 + 8.36507i −0.991661 + 0.452994i
\(342\) 3.98187 + 4.74155i 0.215315 + 0.256393i
\(343\) −6.98069 17.1543i −0.376922 0.926245i
\(344\) −6.17735 + 2.00714i −0.333060 + 0.108218i
\(345\) −7.99054 + 15.0353i −0.430196 + 0.809473i
\(346\) 0.713251 6.78613i 0.0383446 0.364825i
\(347\) 1.59268 15.1534i 0.0854996 0.813474i −0.864796 0.502124i \(-0.832552\pi\)
0.950295 0.311350i \(-0.100781\pi\)
\(348\) −0.0828021 + 0.155803i −0.00443866 + 0.00835194i
\(349\) 10.1717 3.30500i 0.544480 0.176912i −0.0238460 0.999716i \(-0.507591\pi\)
0.568326 + 0.822803i \(0.307591\pi\)
\(350\) 3.88480 7.11962i 0.207651 0.380560i
\(351\) 0.0934769 0.162132i 0.00498943 0.00865396i
\(352\) 3.25063 + 0.658331i 0.173259 + 0.0350892i
\(353\) −29.8269 + 17.2206i −1.58753 + 0.916559i −0.593813 + 0.804603i \(0.702378\pi\)
−0.993713 + 0.111956i \(0.964288\pi\)
\(354\) 5.79806 + 0.404271i 0.308163 + 0.0214867i
\(355\) 5.97189 + 1.26936i 0.316955 + 0.0673708i
\(356\) −5.23575 1.70120i −0.277494 0.0901634i
\(357\) 1.15900 + 0.435810i 0.0613405 + 0.0230655i
\(358\) 5.35578 7.37159i 0.283062 0.389601i
\(359\) −8.02146 8.90873i −0.423356 0.470185i 0.493301 0.869859i \(-0.335790\pi\)
−0.916657 + 0.399674i \(0.869123\pi\)
\(360\) 4.17011 + 0.143948i 0.219784 + 0.00758674i
\(361\) 13.4659 + 5.99541i 0.708732 + 0.315548i
\(362\) −8.95596 + 15.5122i −0.470715 + 0.815302i
\(363\) −4.89465 + 18.4131i −0.256902 + 0.966437i
\(364\) 0.0541366 0.0784200i 0.00283753 0.00411033i
\(365\) 9.08268 6.59895i 0.475409 0.345405i
\(366\) 12.6255 1.77698i 0.659947 0.0928845i
\(367\) 3.76050 0.799320i 0.196297 0.0417241i −0.108714 0.994073i \(-0.534673\pi\)
0.305011 + 0.952349i \(0.401340\pi\)
\(368\) 7.02909 + 0.738787i 0.366417 + 0.0385119i
\(369\) 1.38767 2.84804i 0.0722392 0.148263i
\(370\) −3.77482 1.22651i −0.196244 0.0637635i
\(371\) −33.5757 10.0215i −1.74316 0.520288i
\(372\) 8.71749 + 5.87748i 0.451981 + 0.304733i
\(373\) 12.6504 + 7.30370i 0.655012 + 0.378171i 0.790374 0.612625i \(-0.209886\pi\)
−0.135362 + 0.990796i \(0.543220\pi\)
\(374\) −0.593216 + 0.671714i −0.0306745 + 0.0347335i
\(375\) 14.8869 + 12.4865i 0.768755 + 0.644800i
\(376\) −4.14929 + 0.436108i −0.213984 + 0.0224906i
\(377\) −0.00348937 + 0.00113376i −0.000179712 + 5.83918e-5i
\(378\) −8.35300 10.9191i −0.429632 0.561620i
\(379\) −7.47992 5.43448i −0.384218 0.279151i 0.378864 0.925452i \(-0.376315\pi\)
−0.763082 + 0.646302i \(0.776315\pi\)
\(380\) −2.62245 + 1.16759i −0.134529 + 0.0598960i
\(381\) 17.7225 11.0792i 0.907951 0.567604i
\(382\) −18.9382 17.0520i −0.968961 0.872457i
\(383\) −21.4485 + 2.25433i −1.09597 + 0.115191i −0.635214 0.772336i \(-0.719088\pi\)
−0.460755 + 0.887527i \(0.652421\pi\)
\(384\) −0.592723 1.62748i −0.0302473 0.0830518i
\(385\) −2.13358 + 12.0169i −0.108737 + 0.612436i
\(386\) 13.2475i 0.674282i
\(387\) −13.5303 + 14.0223i −0.687785 + 0.712794i
\(388\) −12.0645 + 13.3990i −0.612484 + 0.680233i
\(389\) 1.17278 + 5.51749i 0.0594622 + 0.279748i 0.997826 0.0659011i \(-0.0209922\pi\)
−0.938364 + 0.345649i \(0.887659\pi\)
\(390\) 0.0602855 + 0.0624024i 0.00305267 + 0.00315987i
\(391\) −1.12252 + 1.54501i −0.0567682 + 0.0781347i
\(392\) −3.78806 5.88647i −0.191326 0.297312i
\(393\) 28.3945 22.1934i 1.43231 1.11951i
\(394\) −1.86838 17.7765i −0.0941277 0.895566i
\(395\) −1.21125 2.09794i −0.0609444 0.105559i
\(396\) 9.53647 2.83825i 0.479226 0.142627i
\(397\) −9.16739 + 15.8784i −0.460098 + 0.796913i −0.998965 0.0454775i \(-0.985519\pi\)
0.538867 + 0.842391i \(0.318852\pi\)
\(398\) −12.2530 + 8.90230i −0.614185 + 0.446232i
\(399\) 8.45639 + 4.23602i 0.423349 + 0.212066i
\(400\) 0.947289 2.91546i 0.0473645 0.145773i
\(401\) 6.91205 + 15.5247i 0.345171 + 0.775267i 0.999813 + 0.0193282i \(0.00615275\pi\)
−0.654642 + 0.755939i \(0.727181\pi\)
\(402\) −15.3882 + 3.83998i −0.767492 + 0.191521i
\(403\) 0.0454550 + 0.213849i 0.00226428 + 0.0106526i
\(404\) 1.83884 + 0.390857i 0.0914857 + 0.0194459i
\(405\) 11.2465 5.49647i 0.558844 0.273122i
\(406\) −0.0217037 + 0.268640i −0.00107714 + 0.0133324i
\(407\) −9.46414 + 0.0910305i −0.469120 + 0.00451221i
\(408\) 0.460911 + 0.0811757i 0.0228185 + 0.00401880i
\(409\) −10.7955 + 24.2471i −0.533803 + 1.19894i 0.422446 + 0.906388i \(0.361172\pi\)
−0.956249 + 0.292553i \(0.905495\pi\)
\(410\) 1.09154 + 0.982826i 0.0539072 + 0.0485383i
\(411\) −1.17445 0.624163i −0.0579313 0.0307877i
\(412\) −5.58940 4.06093i −0.275370 0.200068i
\(413\) 8.37508 2.94622i 0.412111 0.144974i
\(414\) 19.6563 7.95083i 0.966054 0.390762i
\(415\) −4.82013 + 22.6769i −0.236611 + 1.11317i
\(416\) 0.0146494 0.0329030i 0.000718244 0.00161320i
\(417\) −24.7645 20.7714i −1.21272 1.01718i
\(418\) −5.04270 + 4.62906i −0.246647 + 0.226415i
\(419\) 30.2025i 1.47549i −0.675079 0.737745i \(-0.735890\pi\)
0.675079 0.737745i \(-0.264110\pi\)
\(420\) 5.93462 2.32486i 0.289580 0.113442i
\(421\) −11.3748 35.0079i −0.554372 1.70618i −0.697596 0.716492i \(-0.745747\pi\)
0.143223 0.989690i \(-0.454253\pi\)
\(422\) −18.7795 + 16.9091i −0.914170 + 0.823122i
\(423\) −10.3738 + 7.00327i −0.504391 + 0.340511i
\(424\) −13.1711 1.38434i −0.639645 0.0672294i
\(425\) 0.554244 + 0.615550i 0.0268848 + 0.0298586i
\(426\) −4.68205 5.99027i −0.226846 0.290230i
\(427\) 16.6270 10.1416i 0.804638 0.490788i
\(428\) −6.23918 −0.301582
\(429\) 0.183628 + 0.0953357i 0.00886562 + 0.00460285i
\(430\) −4.51701 7.82369i −0.217830 0.377292i
\(431\) −9.32111 4.15003i −0.448982 0.199900i 0.169774 0.985483i \(-0.445696\pi\)
−0.618756 + 0.785583i \(0.712363\pi\)
\(432\) −3.86359 3.47458i −0.185887 0.167171i
\(433\) −2.20124 + 6.77473i −0.105785 + 0.325573i −0.989914 0.141670i \(-0.954753\pi\)
0.884129 + 0.467243i \(0.154753\pi\)
\(434\) 15.7850 + 2.95949i 0.757705 + 0.142060i
\(435\) −0.235911 0.0675951i −0.0113111 0.00324094i
\(436\) 8.96118 8.06869i 0.429163 0.386420i
\(437\) −9.76083 + 10.8405i −0.466924 + 0.518571i
\(438\) −13.9469 0.972452i −0.666410 0.0464656i
\(439\) −19.2925 11.1385i −0.920779 0.531612i −0.0368957 0.999319i \(-0.511747\pi\)
−0.883884 + 0.467707i \(0.845080\pi\)
\(440\) 0.0443677 + 4.61277i 0.00211515 + 0.219905i
\(441\) −18.3287 10.2498i −0.872795 0.488087i
\(442\) 0.00572023 + 0.00787322i 0.000272084 + 0.000374491i
\(443\) −5.91762 + 27.8402i −0.281155 + 1.32273i 0.580096 + 0.814548i \(0.303015\pi\)
−0.861250 + 0.508181i \(0.830318\pi\)
\(444\) 2.62008 + 4.19114i 0.124344 + 0.198903i
\(445\) 0.800373 7.61504i 0.0379413 0.360988i
\(446\) 12.5112 5.57034i 0.592422 0.263763i
\(447\) −26.1257 + 0.917578i −1.23570 + 0.0433999i
\(448\) −1.81723 1.92294i −0.0858559 0.0908502i
\(449\) −5.84081 8.03918i −0.275645 0.379392i 0.648641 0.761095i \(-0.275338\pi\)
−0.924285 + 0.381703i \(0.875338\pi\)
\(450\) −1.60059 9.05612i −0.0754523 0.426910i
\(451\) 3.21324 + 1.39375i 0.151305 + 0.0656291i
\(452\) 8.30637 4.79569i 0.390699 0.225570i
\(453\) 6.39207 + 13.0990i 0.300326 + 0.615445i
\(454\) 3.43778 + 10.5804i 0.161343 + 0.496563i
\(455\) 0.122343 + 0.0509741i 0.00573554 + 0.00238970i
\(456\) 3.43652 + 0.984659i 0.160930 + 0.0461109i
\(457\) 6.00967 + 13.4979i 0.281120 + 0.631407i 0.997821 0.0659739i \(-0.0210154\pi\)
−0.716701 + 0.697381i \(0.754349\pi\)
\(458\) −25.7175 + 5.46643i −1.20170 + 0.255429i
\(459\) 1.33504 0.434668i 0.0623141 0.0202886i
\(460\) 1.02755 + 9.77652i 0.0479100 + 0.455833i
\(461\) 19.9169 0.927621 0.463810 0.885935i \(-0.346482\pi\)
0.463810 + 0.885935i \(0.346482\pi\)
\(462\) 11.6525 9.75806i 0.542122 0.453986i
\(463\) 11.6985 0.543673 0.271837 0.962343i \(-0.412369\pi\)
0.271837 + 0.962343i \(0.412369\pi\)
\(464\) 0.0106480 + 0.101309i 0.000494323 + 0.00470317i
\(465\) −5.47524 + 13.5595i −0.253908 + 0.628808i
\(466\) −3.89615 + 0.828152i −0.180486 + 0.0383634i
\(467\) 5.13763 + 11.5393i 0.237741 + 0.533975i 0.992531 0.121991i \(-0.0389280\pi\)
−0.754790 + 0.655966i \(0.772261\pi\)
\(468\) −0.00758047 0.107784i −0.000350407 0.00498233i
\(469\) −19.2508 + 14.7083i −0.888921 + 0.679166i
\(470\) −1.79320 5.51889i −0.0827139 0.254567i
\(471\) −16.6613 + 8.13038i −0.767710 + 0.374628i
\(472\) 2.90607 1.67782i 0.133763 0.0772279i
\(473\) −16.1470 14.2600i −0.742438 0.655674i
\(474\) −0.523255 + 2.97101i −0.0240339 + 0.136463i
\(475\) 3.71886 + 5.11857i 0.170633 + 0.234856i
\(476\) 0.695482 0.165444i 0.0318774 0.00758311i
\(477\) −36.8319 + 14.8983i −1.68642 + 0.682144i
\(478\) −15.8476 + 7.05580i −0.724852 + 0.322725i
\(479\) 2.21572 21.0811i 0.101239 0.963221i −0.819510 0.573065i \(-0.805754\pi\)
0.920749 0.390156i \(-0.127579\pi\)
\(480\) 2.04273 1.27701i 0.0932376 0.0582874i
\(481\) −0.0213693 + 0.100534i −0.000974354 + 0.00458398i
\(482\) 4.12113 + 5.67225i 0.187712 + 0.258364i
\(483\) 22.7449 23.0587i 1.03493 1.04921i
\(484\) 3.59979 + 10.3943i 0.163627 + 0.472468i
\(485\) −21.7178 12.5388i −0.986154 0.569357i
\(486\) −15.1292 3.75602i −0.686274 0.170376i
\(487\) 12.7327 14.1411i 0.576976 0.640796i −0.382041 0.924145i \(-0.624779\pi\)
0.959017 + 0.283349i \(0.0914455\pi\)
\(488\) 5.47043 4.92560i 0.247635 0.222971i
\(489\) 3.04130 10.6143i 0.137532 0.479996i
\(490\) 6.91296 6.85579i 0.312296 0.309713i
\(491\) −4.48973 + 13.8180i −0.202619 + 0.623597i 0.797184 + 0.603736i \(0.206322\pi\)
−0.999803 + 0.0198601i \(0.993678\pi\)
\(492\) −0.254927 1.81126i −0.0114930 0.0816580i
\(493\) −0.0251452 0.0111954i −0.00113248 0.000504214i
\(494\) 0.0371678 + 0.0643764i 0.00167226 + 0.00289643i
\(495\) 6.61909 + 12.1534i 0.297506 + 0.546253i
\(496\) 6.07013 0.272557
\(497\) −10.1948 5.56276i −0.457299 0.249524i
\(498\) 22.7468 17.7791i 1.01931 0.796699i
\(499\) −15.3267 17.0220i −0.686115 0.762008i 0.294986 0.955502i \(-0.404685\pi\)
−0.981102 + 0.193493i \(0.938018\pi\)
\(500\) 11.1566 + 1.17260i 0.498937 + 0.0524404i
\(501\) 3.00765 0.750531i 0.134372 0.0335313i
\(502\) 1.28852 1.16019i 0.0575094 0.0517817i
\(503\) 3.42978 + 10.5558i 0.152926 + 0.470659i 0.997945 0.0640781i \(-0.0204107\pi\)
−0.845019 + 0.534737i \(0.820411\pi\)
\(504\) −7.52286 2.53113i −0.335095 0.112746i
\(505\) 2.61472i 0.116353i
\(506\) 9.73995 + 21.3220i 0.432994 + 0.947877i
\(507\) −14.4685 + 17.2499i −0.642570 + 0.766097i
\(508\) 4.90808 11.0237i 0.217761 0.489099i
\(509\) −1.01337 + 4.76752i −0.0449167 + 0.211316i −0.994883 0.101037i \(-0.967784\pi\)
0.949966 + 0.312353i \(0.101117\pi\)
\(510\) 0.0228477 + 0.650531i 0.00101171 + 0.0288060i
\(511\) −20.1458 + 7.08697i −0.891198 + 0.313509i
\(512\) −0.809017 0.587785i −0.0357538 0.0259767i
\(513\) 10.4887 2.23604i 0.463087 0.0987236i
\(514\) −10.3606 9.32872i −0.456986 0.411472i
\(515\) 3.90846 8.77855i 0.172227 0.386829i
\(516\) −1.95134 + 11.0796i −0.0859028 + 0.487751i
\(517\) −8.24075 11.1160i −0.362428 0.488881i
\(518\) 6.21336 + 4.28935i 0.273000 + 0.188463i
\(519\) −9.79945 6.60695i −0.430148 0.290013i
\(520\) 0.0489999 + 0.0104152i 0.00214879 + 0.000456739i
\(521\) 1.03203 + 4.85534i 0.0452143 + 0.212716i 0.994955 0.100321i \(-0.0319869\pi\)
−0.949741 + 0.313037i \(0.898654\pi\)
\(522\) 0.170992 + 0.253287i 0.00748412 + 0.0110861i
\(523\) 4.45842 + 10.0138i 0.194953 + 0.437871i 0.984399 0.175948i \(-0.0562990\pi\)
−0.789447 + 0.613819i \(0.789632\pi\)
\(524\) 6.42972 19.7887i 0.280884 0.864472i
\(525\) −7.73154 11.7288i −0.337432 0.511888i
\(526\) 2.12769 1.54586i 0.0927716 0.0674025i
\(527\) −0.820082 + 1.42042i −0.0357234 + 0.0618747i
\(528\) 3.64915 4.43663i 0.158809 0.193080i
\(529\) 13.4770 + 23.3428i 0.585955 + 1.01490i
\(530\) −1.92543 18.3192i −0.0836353 0.795736i
\(531\) 5.33122 8.53936i 0.231355 0.370577i
\(532\) 5.41535 0.701509i 0.234785 0.0304143i
\(533\) 0.0223565 0.0307711i 0.000968369 0.00133285i
\(534\) −6.85778 + 6.62514i −0.296765 + 0.286698i
\(535\) −1.80423 8.48823i −0.0780036 0.366978i
\(536\) −6.12709 + 6.80483i −0.264650 + 0.293924i
\(537\) −6.92126 14.1835i −0.298674 0.612061i
\(538\) 30.0194i 1.29423i
\(539\) 10.4268 20.7432i 0.449114 0.893475i
\(540\) 3.60981 6.26107i 0.155341 0.269434i
\(541\) 31.6270 3.32413i 1.35975 0.142916i 0.603586 0.797298i \(-0.293738\pi\)
0.756164 + 0.654382i \(0.227071\pi\)
\(542\) 13.9317 + 12.5442i 0.598419 + 0.538819i
\(543\) 16.4457 + 26.3069i 0.705752 + 1.12894i
\(544\) 0.246842 0.109901i 0.0105833 0.00471198i
\(545\) 13.5686 + 9.85816i 0.581215 + 0.422277i
\(546\) −0.0759368 0.146544i −0.00324979 0.00627149i
\(547\) 31.6493 10.2835i 1.35322 0.439689i 0.459449 0.888204i \(-0.348047\pi\)
0.893775 + 0.448515i \(0.148047\pi\)
\(548\) −0.763672 + 0.0802651i −0.0326224 + 0.00342876i
\(549\) 7.54470 20.7548i 0.322000 0.885794i
\(550\) 9.92412 2.20941i 0.423166 0.0942095i
\(551\) −0.182078 0.105123i −0.00775677 0.00447837i
\(552\) 6.84349 10.1503i 0.291278 0.432025i
\(553\) 1.06644 + 4.48304i 0.0453498 + 0.190638i
\(554\) −20.1506 6.54732i −0.856117 0.278169i
\(555\) −4.94426 + 4.77653i −0.209872 + 0.202752i
\(556\) −18.5591 1.95064i −0.787080 0.0827255i
\(557\) 15.2163 3.23433i 0.644737 0.137043i 0.126073 0.992021i \(-0.459763\pi\)
0.518664 + 0.854978i \(0.326429\pi\)
\(558\) 16.0754 8.55571i 0.680525 0.362192i
\(559\) −0.189260 + 0.137505i −0.00800484 + 0.00581586i
\(560\) 2.09060 3.02836i 0.0883440 0.127971i
\(561\) 0.545178 + 1.45330i 0.0230174 + 0.0613586i
\(562\) 12.9811 22.4840i 0.547576 0.948429i
\(563\) −1.94895 0.867728i −0.0821384 0.0365704i 0.365256 0.930907i \(-0.380981\pi\)
−0.447395 + 0.894337i \(0.647648\pi\)
\(564\) −2.70570 + 6.70072i −0.113931 + 0.282151i
\(565\) 8.92641 + 9.91378i 0.375537 + 0.417076i
\(566\) −11.8130 + 16.2592i −0.496536 + 0.683423i
\(567\) −23.4902 + 3.90016i −0.986495 + 0.163791i
\(568\) −4.17473 1.35645i −0.175168 0.0569154i
\(569\) −36.4653 7.75094i −1.52871 0.324936i −0.634617 0.772827i \(-0.718842\pi\)
−0.894089 + 0.447890i \(0.852176\pi\)
\(570\) −0.345839 + 4.96002i −0.0144856 + 0.207753i
\(571\) 11.4948 6.63655i 0.481044 0.277731i −0.239807 0.970821i \(-0.577084\pi\)
0.720852 + 0.693089i \(0.243751\pi\)
\(572\) 0.118674 0.0136284i 0.00496202 0.000569832i
\(573\) −41.4743 + 15.1048i −1.73261 + 0.631014i
\(574\) −1.45492 2.38532i −0.0607273 0.0995613i
\(575\) 20.6059 6.69526i 0.859325 0.279212i
\(576\) −2.97097 0.416327i −0.123790 0.0173470i
\(577\) 0.442689 4.21190i 0.0184294 0.175344i −0.981435 0.191793i \(-0.938570\pi\)
0.999865 + 0.0164497i \(0.00523633\pi\)
\(578\) 1.76935 16.8343i 0.0735954 0.700213i
\(579\) 20.2617 + 10.7681i 0.842049 + 0.447509i
\(580\) −0.134749 + 0.0437827i −0.00559516 + 0.00181798i
\(581\) 21.1234 38.7125i 0.876345 1.60607i
\(582\) 10.6869 + 29.3437i 0.442986 + 1.21633i
\(583\) −18.2507 39.9531i −0.755867 1.65469i
\(584\) −6.99039 + 4.03591i −0.289265 + 0.167007i
\(585\) 0.144445 0.0414818i 0.00597208 0.00171506i
\(586\) 23.8487 + 5.06920i 0.985182 + 0.209407i
\(587\) 37.5493 + 12.2005i 1.54983 + 0.503569i 0.954067 0.299594i \(-0.0968513\pi\)
0.595759 + 0.803163i \(0.296851\pi\)
\(588\) −12.0823 + 1.00897i −0.498266 + 0.0416092i
\(589\) −7.36389 + 10.1355i −0.303424 + 0.417627i
\(590\) 3.12299 + 3.46844i 0.128572 + 0.142793i
\(591\) −28.7073 11.5918i −1.18086 0.476824i
\(592\) 2.60697 + 1.16070i 0.107146 + 0.0477043i
\(593\) −0.323227 + 0.559845i −0.0132733 + 0.0229901i −0.872586 0.488461i \(-0.837558\pi\)
0.859312 + 0.511451i \(0.170892\pi\)
\(594\) 3.41062 16.8928i 0.139939 0.693121i
\(595\) 0.426199 + 0.898341i 0.0174725 + 0.0368284i
\(596\) −12.2105 + 8.87144i −0.500161 + 0.363388i
\(597\) 3.65611 + 25.9767i 0.149634 + 1.06316i
\(598\) 0.248997 0.0529260i 0.0101823 0.00216430i
\(599\) 33.8159 + 3.55420i 1.38168 + 0.145221i 0.766033 0.642801i \(-0.222228\pi\)
0.615648 + 0.788021i \(0.288894\pi\)
\(600\) −3.68912 3.81866i −0.150608 0.155896i
\(601\) 36.4603 + 11.8467i 1.48725 + 0.483236i 0.936269 0.351284i \(-0.114255\pi\)
0.550978 + 0.834520i \(0.314255\pi\)
\(602\) 3.97701 + 16.7183i 0.162091 + 0.681387i
\(603\) −6.63499 + 26.6571i −0.270198 + 1.08556i
\(604\) 7.28771 + 4.20756i 0.296533 + 0.171203i
\(605\) −13.1002 + 7.90321i −0.532598 + 0.321311i
\(606\) 2.09249 2.49475i 0.0850016 0.101342i
\(607\) −3.84714 + 0.404351i −0.156151 + 0.0164121i −0.182281 0.983246i \(-0.558348\pi\)
0.0261305 + 0.999659i \(0.491681\pi\)
\(608\) 1.96290 0.637784i 0.0796060 0.0258655i
\(609\) 0.393237 + 0.251557i 0.0159348 + 0.0101936i
\(610\) 8.28307 + 6.01800i 0.335372 + 0.243662i
\(611\) −0.137276 + 0.0611193i −0.00555360 + 0.00247262i
\(612\) 0.498804 0.638968i 0.0201630 0.0258288i
\(613\) −7.21288 6.49451i −0.291326 0.262311i 0.510488 0.859885i \(-0.329465\pi\)
−0.801814 + 0.597574i \(0.796131\pi\)
\(614\) 27.8672 2.92896i 1.12463 0.118203i
\(615\) 2.39045 0.870597i 0.0963924 0.0351059i
\(616\) 2.42870 8.43217i 0.0978551 0.339742i
\(617\) 4.77106i 0.192076i −0.995378 0.0960379i \(-0.969383\pi\)
0.995378 0.0960379i \(-0.0306170\pi\)
\(618\) −10.7544 + 5.24793i −0.432605 + 0.211103i
\(619\) −27.7417 + 30.8103i −1.11503 + 1.23837i −0.146572 + 0.989200i \(0.546824\pi\)
−0.968460 + 0.249169i \(0.919843\pi\)
\(620\) 1.75534 + 8.25824i 0.0704963 + 0.331659i
\(621\) 3.81687 36.5265i 0.153166 1.46576i
\(622\) −5.86476 + 8.07215i −0.235155 + 0.323664i
\(623\) −5.60185 + 13.4451i −0.224434 + 0.538665i
\(624\) −0.0384166 0.0491507i −0.00153790 0.00196760i
\(625\) 0.0287763 + 0.273789i 0.00115105 + 0.0109515i
\(626\) −1.30838 2.26619i −0.0522935 0.0905750i
\(627\) 2.98111 + 11.4754i 0.119054 + 0.458282i
\(628\) −5.35180 + 9.26958i −0.213560 + 0.369897i
\(629\) −0.623810 + 0.453225i −0.0248729 + 0.0180713i
\(630\) 1.26809 10.9666i 0.0505221 0.436919i
\(631\) −6.03045 + 18.5598i −0.240069 + 0.738855i 0.756340 + 0.654179i \(0.226986\pi\)
−0.996409 + 0.0846763i \(0.973014\pi\)
\(632\) 0.708419 + 1.59114i 0.0281794 + 0.0632920i
\(633\) 10.5973 + 42.4671i 0.421204 + 1.68792i
\(634\) −0.239640 1.12742i −0.00951732 0.0447755i
\(635\) 16.4168 + 3.48949i 0.651480 + 0.138476i
\(636\) −12.8233 + 19.0196i −0.508478 + 0.754176i
\(637\) −0.195272 0.159475i −0.00773695 0.00631863i
\(638\) −0.271408 + 0.201206i −0.0107452 + 0.00796584i
\(639\) −12.9677 + 2.29193i −0.512995 + 0.0906672i
\(640\) 0.565716 1.27062i 0.0223619 0.0502256i
\(641\) −24.4067 21.9759i −0.964009 0.867997i 0.0272903 0.999628i \(-0.491312\pi\)
−0.991299 + 0.131630i \(0.957979\pi\)
\(642\) −5.07147 + 9.54266i −0.200155 + 0.376619i
\(643\) 7.46873 + 5.42635i 0.294538 + 0.213994i 0.725234 0.688503i \(-0.241732\pi\)
−0.430696 + 0.902497i \(0.641732\pi\)
\(644\) 3.44591 18.3794i 0.135788 0.724251i
\(645\) −15.6377 + 0.549223i −0.615735 + 0.0216256i
\(646\) −0.115947 + 0.545488i −0.00456188 + 0.0214619i
\(647\) 13.2674 29.7991i 0.521596 1.17152i −0.440236 0.897882i \(-0.645105\pi\)
0.961832 0.273642i \(-0.0882282\pi\)
\(648\) −8.45476 + 3.08497i −0.332134 + 0.121189i
\(649\) 9.69141 + 5.47174i 0.380421 + 0.214784i
\(650\) 0.110409i 0.00433061i
\(651\) 17.3572 21.7372i 0.680281 0.851946i
\(652\) −1.96991 6.06277i −0.0771478 0.237437i
\(653\) 21.9500 19.7639i 0.858972 0.773422i −0.116582 0.993181i \(-0.537194\pi\)
0.975554 + 0.219759i \(0.0705272\pi\)
\(654\) −5.05681 20.2645i −0.197737 0.792403i
\(655\) 28.7812 + 3.02503i 1.12458 + 0.118198i
\(656\) −0.706629 0.784791i −0.0275892 0.0306409i
\(657\) −12.8240 + 20.5410i −0.500311 + 0.801381i
\(658\) 0.266043 + 11.0353i 0.0103715 + 0.430199i
\(659\) 41.6105 1.62092 0.810458 0.585797i \(-0.199218\pi\)
0.810458 + 0.585797i \(0.199218\pi\)
\(660\) 7.09117 + 3.68159i 0.276023 + 0.143306i
\(661\) 0.0683175 + 0.118329i 0.00265724 + 0.00460248i 0.867351 0.497697i \(-0.165821\pi\)
−0.864694 + 0.502299i \(0.832488\pi\)
\(662\) −27.3543 12.1789i −1.06316 0.473348i
\(663\) 0.0166915 0.00234926i 0.000648245 9.12376e-5i
\(664\) 5.15083 15.8526i 0.199891 0.615201i
\(665\) 2.52038 + 7.16457i 0.0977361 + 0.277830i
\(666\) 8.53994 0.600614i 0.330916 0.0232733i
\(667\) −0.535049 + 0.481760i −0.0207172 + 0.0186538i
\(668\) 1.19755 1.33002i 0.0463347 0.0514599i
\(669\) 1.64993 23.6633i 0.0637900 0.914877i
\(670\) −11.0296 6.36794i −0.426110 0.246015i
\(671\) 23.2909 + 7.32077i 0.899135 + 0.282615i
\(672\) −4.41820 + 1.21636i −0.170436 + 0.0469219i
\(673\) 26.2559 + 36.1381i 1.01209 + 1.39302i 0.917604 + 0.397495i \(0.130120\pi\)
0.0944848 + 0.995526i \(0.469880\pi\)
\(674\) −2.32287 + 10.9283i −0.0894737 + 0.420941i
\(675\) −15.1521 4.91314i −0.583205 0.189107i
\(676\) −1.35873 + 12.9275i −0.0522590 + 0.497211i
\(677\) −3.85722 + 1.71734i −0.148245 + 0.0660029i −0.479518 0.877532i \(-0.659189\pi\)
0.331273 + 0.943535i \(0.392522\pi\)
\(678\) −0.583107 16.6025i −0.0223941 0.637615i
\(679\) 32.7649 + 34.6709i 1.25740 + 1.33055i
\(680\) 0.220899 + 0.304041i 0.00847109 + 0.0116595i
\(681\) 18.9768 + 3.34220i 0.727193 + 0.128073i
\(682\) 10.2334 + 17.3375i 0.391857 + 0.663887i
\(683\) 24.2149 13.9805i 0.926559 0.534949i 0.0408374 0.999166i \(-0.486997\pi\)
0.885722 + 0.464217i \(0.153664\pi\)
\(684\) 4.29935 4.45569i 0.164390 0.170367i
\(685\) −0.330035 1.01574i −0.0126100 0.0388095i
\(686\) −16.3306 + 8.73556i −0.623507 + 0.333525i
\(687\) −12.5435 + 43.7776i −0.478565 + 1.67022i
\(688\) 2.64186 + 5.93371i 0.100720 + 0.226220i
\(689\) −0.466570 + 0.0991726i −0.0177749 + 0.00377818i
\(690\) 15.7882 + 6.37515i 0.601045 + 0.242698i
\(691\) 3.08560 + 29.3575i 0.117382 + 1.11681i 0.881647 + 0.471910i \(0.156435\pi\)
−0.764265 + 0.644902i \(0.776898\pi\)
\(692\) −6.82351 −0.259391
\(693\) −5.45308 25.7539i −0.207145 0.978310i
\(694\) −15.2368 −0.578382
\(695\) −2.71308 25.8132i −0.102913 0.979150i
\(696\) 0.163605 + 0.0660626i 0.00620143 + 0.00250410i
\(697\) 0.279109 0.0593265i 0.0105720 0.00224715i
\(698\) −4.35013 9.77054i −0.164655 0.369820i
\(699\) −1.90032 + 6.63221i −0.0718765 + 0.250853i
\(700\) −7.48669 3.11932i −0.282970 0.117899i
\(701\) 11.9775 + 36.8630i 0.452384 + 1.39229i 0.874179 + 0.485604i \(0.161400\pi\)
−0.421795 + 0.906691i \(0.638600\pi\)
\(702\) −0.171015 0.0760174i −0.00645454 0.00286909i
\(703\) −5.10066 + 2.94487i −0.192375 + 0.111068i
\(704\) 0.314941 3.30164i 0.0118698 0.124435i
\(705\) −9.89857 1.74334i −0.372802 0.0656579i
\(706\) 20.2440 + 27.8635i 0.761893 + 1.04866i
\(707\) 1.42253 4.76604i 0.0534999 0.179245i
\(708\) −0.204006 5.80855i −0.00766701 0.218299i
\(709\) 0.259766 0.115655i 0.00975571 0.00434352i −0.401853 0.915704i \(-0.631634\pi\)
0.411609 + 0.911361i \(0.364967\pi\)
\(710\) 0.638178 6.07186i 0.0239504 0.227873i
\(711\) 4.11876 + 3.21527i 0.154466 + 0.120582i
\(712\) −1.14459 + 5.38489i −0.0428955 + 0.201807i
\(713\) 25.2175 + 34.7089i 0.944401 + 1.29986i
\(714\) 0.312274 1.19820i 0.0116866 0.0448415i
\(715\) 0.0528590 + 0.157512i 0.00197681 + 0.00589062i
\(716\) −7.89104 4.55590i −0.294902 0.170262i
\(717\) −2.08992 + 29.9737i −0.0780497 + 1.11939i
\(718\) −8.02146 + 8.90873i −0.299358 + 0.332471i
\(719\) 34.0908 30.6955i 1.27137 1.14475i 0.289099 0.957299i \(-0.406644\pi\)
0.982274 0.187450i \(-0.0600223\pi\)
\(720\) −0.292736 4.16232i −0.0109096 0.155120i
\(721\) −11.9002 + 13.8749i −0.443187 + 0.516729i
\(722\) 4.55499 14.0188i 0.169519 0.521727i
\(723\) 12.0254 1.69252i 0.447229 0.0629454i
\(724\) 16.3634 + 7.28544i 0.608140 + 0.270761i
\(725\) 0.156137 + 0.270437i 0.00579878 + 0.0100438i
\(726\) 18.8239 + 2.94314i 0.698619 + 0.109230i
\(727\) 10.8539 0.402550 0.201275 0.979535i \(-0.435492\pi\)
0.201275 + 0.979535i \(0.435492\pi\)
\(728\) −0.0836492 0.0456430i −0.00310025 0.00169164i
\(729\) −18.0424 + 20.0866i −0.668236 + 0.743950i
\(730\) −7.51220 8.34314i −0.278039 0.308794i
\(731\) −1.74542 0.183451i −0.0645567 0.00678518i
\(732\) −3.08698 12.3706i −0.114098 0.457231i
\(733\) 21.1651 19.0571i 0.781751 0.703891i −0.178220 0.983991i \(-0.557034\pi\)
0.959971 + 0.280099i \(0.0903674\pi\)
\(734\) −1.18802 3.65635i −0.0438506 0.134958i
\(735\) −4.86660 16.1459i −0.179507 0.595549i
\(736\) 7.06781i 0.260523i
\(737\) −29.7654 6.02820i −1.09642 0.222052i
\(738\) −2.97749 1.08237i −0.109603 0.0398425i
\(739\) −8.67634 + 19.4874i −0.319164 + 0.716855i −0.999877 0.0156959i \(-0.995004\pi\)
0.680713 + 0.732551i \(0.261670\pi\)
\(740\) −0.825219 + 3.88235i −0.0303357 + 0.142718i
\(741\) 0.128674 0.00451922i 0.00472694 0.000166018i
\(742\) −6.45694 + 34.4393i −0.237042 + 1.26431i
\(743\) −7.61960 5.53596i −0.279536 0.203095i 0.439179 0.898400i \(-0.355269\pi\)
−0.718715 + 0.695305i \(0.755269\pi\)
\(744\) 4.93405 9.28410i 0.180891 0.340372i
\(745\) −15.6003 14.0466i −0.571552 0.514628i
\(746\) 5.94137 13.3445i 0.217529 0.488578i
\(747\) −8.70309 49.2421i −0.318429 1.80168i
\(748\) 0.730042 + 0.519753i 0.0266930 + 0.0190040i
\(749\) −1.32931 + 16.4537i −0.0485720 + 0.601205i
\(750\) 10.8620 16.1105i 0.396624 0.588273i
\(751\) −35.6351 7.57448i −1.30034 0.276397i −0.494839 0.868985i \(-0.664773\pi\)
−0.805506 + 0.592588i \(0.798106\pi\)
\(752\) 0.867439 + 4.08098i 0.0316322 + 0.148818i
\(753\) −0.727114 2.91380i −0.0264975 0.106185i
\(754\) 0.00149229 + 0.00335174i 5.43461e−5 + 0.000122063i
\(755\) −3.61683 + 11.1315i −0.131630 + 0.405115i
\(756\) −9.98619 + 9.44860i −0.363194 + 0.343642i
\(757\) −35.4720 + 25.7719i −1.28925 + 0.936695i −0.999790 0.0204944i \(-0.993476\pi\)
−0.289461 + 0.957190i \(0.593476\pi\)
\(758\) −4.62285 + 8.00700i −0.167909 + 0.290827i
\(759\) 40.5284 + 2.43440i 1.47109 + 0.0883631i
\(760\) 1.43531 + 2.48603i 0.0520642 + 0.0901779i
\(761\) 3.91031 + 37.2041i 0.141748 + 1.34865i 0.801875 + 0.597492i \(0.203836\pi\)
−0.660126 + 0.751155i \(0.729497\pi\)
\(762\) −12.8710 16.4673i −0.466267 0.596548i
\(763\) −19.3691 25.3512i −0.701210 0.917774i
\(764\) −14.9790 + 20.6168i −0.541922 + 0.745891i
\(765\) 1.01354 + 0.493834i 0.0366447 + 0.0178546i
\(766\) 4.48396 + 21.0954i 0.162012 + 0.762207i
\(767\) 0.0808707 0.0898160i 0.00292007 0.00324307i
\(768\) −1.55660 + 0.759593i −0.0561691 + 0.0274095i
\(769\) 2.47310i 0.0891823i 0.999005 + 0.0445912i \(0.0141985\pi\)
−0.999005 + 0.0445912i \(0.985801\pi\)
\(770\) 12.1741 + 0.865786i 0.438722 + 0.0312008i
\(771\) −22.6896 + 8.26348i −0.817145 + 0.297602i
\(772\) 13.1750 1.38474i 0.474177 0.0498380i