Properties

Label 637.2.bl.a.53.5
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.5
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.79391 - 1.22307i) q^{2} +(1.34252 + 1.24567i) q^{3} +(0.991536 + 2.52639i) q^{4} +(1.96924 - 0.607429i) q^{5} +(-0.884812 - 3.87661i) q^{6} +(1.60270 + 2.10508i) q^{7} +(0.344956 - 1.51135i) q^{8} +(0.0264586 + 0.353066i) q^{9} +O(q^{10})\) \(q+(-1.79391 - 1.22307i) q^{2} +(1.34252 + 1.24567i) q^{3} +(0.991536 + 2.52639i) q^{4} +(1.96924 - 0.607429i) q^{5} +(-0.884812 - 3.87661i) q^{6} +(1.60270 + 2.10508i) q^{7} +(0.344956 - 1.51135i) q^{8} +(0.0264586 + 0.353066i) q^{9} +(-4.27556 - 1.31883i) q^{10} +(0.146375 - 1.95324i) q^{11} +(-1.81591 + 4.62685i) q^{12} +(0.900969 - 0.433884i) q^{13} +(-0.300439 - 5.73653i) q^{14} +(3.40039 + 1.63754i) q^{15} +(1.51170 - 1.40265i) q^{16} +(4.13378 - 0.623068i) q^{17} +(0.384358 - 0.665728i) q^{18} +(-2.88397 - 4.99518i) q^{19} +(3.48717 + 4.37277i) q^{20} +(-0.470596 + 4.82254i) q^{21} +(-2.65153 + 3.32492i) q^{22} +(1.19838 + 0.180626i) q^{23} +(2.34576 - 1.59931i) q^{24} +(-0.622274 + 0.424259i) q^{25} +(-2.14692 - 0.323597i) q^{26} +(3.02131 - 3.78860i) q^{27} +(-3.72913 + 6.13630i) q^{28} +(4.84425 + 6.07450i) q^{29} +(-4.09717 - 7.09650i) q^{30} +(-5.35291 + 9.27151i) q^{31} +(-7.49320 + 1.12942i) q^{32} +(2.62962 - 2.43993i) q^{33} +(-8.17768 - 3.93817i) q^{34} +(4.43477 + 3.17188i) q^{35} +(-0.865747 + 0.416922i) q^{36} +(0.147931 - 0.376923i) q^{37} +(-0.935859 + 12.4882i) q^{38} +(1.75004 + 0.539817i) q^{39} +(-0.238739 - 3.18575i) q^{40} +(2.35981 - 10.3390i) q^{41} +(6.74250 - 8.07563i) q^{42} +(0.267062 + 1.17008i) q^{43} +(5.07980 - 1.56691i) q^{44} +(0.266565 + 0.679198i) q^{45} +(-1.92886 - 1.78972i) q^{46} +(10.7816 + 7.35075i) q^{47} +3.77674 q^{48} +(-1.86273 + 6.74761i) q^{49} +1.63520 q^{50} +(6.32581 + 4.31287i) q^{51} +(1.98950 + 1.84599i) q^{52} +(1.56040 + 3.97584i) q^{53} +(-10.0537 + 3.10115i) q^{54} +(-0.898209 - 3.93531i) q^{55} +(3.73438 - 1.69608i) q^{56} +(2.35059 - 10.2986i) q^{57} +(-1.26063 - 16.8219i) q^{58} +(-8.61113 - 2.65618i) q^{59} +(-0.765463 + 10.2144i) q^{60} +(-2.15148 + 5.48189i) q^{61} +(20.9423 - 10.0853i) q^{62} +(-0.700826 + 0.621554i) q^{63} +(11.1075 + 5.34910i) q^{64} +(1.51067 - 1.40169i) q^{65} +(-7.70149 + 1.16081i) q^{66} +(3.49131 - 6.04712i) q^{67} +(5.67291 + 9.82576i) q^{68} +(1.38384 + 1.73528i) q^{69} +(-4.07617 - 11.1141i) q^{70} +(2.28057 - 2.85974i) q^{71} +(0.542733 + 0.0818039i) q^{72} +(0.0413083 - 0.0281635i) q^{73} +(-0.726377 + 0.495236i) q^{74} +(-1.36390 - 0.205575i) q^{75} +(9.76022 - 12.2389i) q^{76} +(4.34633 - 2.82233i) q^{77} +(-2.47919 - 3.10880i) q^{78} +(-6.04972 - 10.4784i) q^{79} +(2.12488 - 3.68041i) q^{80} +(9.82583 - 1.48100i) q^{81} +(-16.8786 + 15.6611i) q^{82} +(-8.62083 - 4.15157i) q^{83} +(-12.6502 + 3.59281i) q^{84} +(7.76193 - 3.73795i) q^{85} +(0.951995 - 2.42564i) q^{86} +(-1.06335 + 14.1895i) q^{87} +(-2.90155 - 0.895009i) q^{88} +(-0.575740 - 7.68272i) q^{89} +(0.352510 - 1.54445i) q^{90} +(2.35734 + 1.20123i) q^{91} +(0.731902 + 3.20667i) q^{92} +(-18.7357 + 5.77918i) q^{93} +(-10.3507 - 26.3731i) q^{94} +(-8.71342 - 8.08488i) q^{95} +(-11.4666 - 7.81782i) q^{96} +0.774155 q^{97} +(11.5943 - 9.82636i) q^{98} +0.693496 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.79391 1.22307i −1.26849 0.864839i −0.273212 0.961954i \(-0.588086\pi\)
−0.995273 + 0.0971153i \(0.969038\pi\)
\(3\) 1.34252 + 1.24567i 0.775103 + 0.719190i 0.964896 0.262634i \(-0.0845912\pi\)
−0.189793 + 0.981824i \(0.560782\pi\)
\(4\) 0.991536 + 2.52639i 0.495768 + 1.26320i
\(5\) 1.96924 0.607429i 0.880669 0.271650i 0.178739 0.983896i \(-0.442798\pi\)
0.701930 + 0.712246i \(0.252322\pi\)
\(6\) −0.884812 3.87661i −0.361223 1.58262i
\(7\) 1.60270 + 2.10508i 0.605762 + 0.795646i
\(8\) 0.344956 1.51135i 0.121960 0.534344i
\(9\) 0.0264586 + 0.353066i 0.00881954 + 0.117689i
\(10\) −4.27556 1.31883i −1.35205 0.417052i
\(11\) 0.146375 1.95324i 0.0441339 0.588925i −0.930670 0.365860i \(-0.880775\pi\)
0.974804 0.223065i \(-0.0716062\pi\)
\(12\) −1.81591 + 4.62685i −0.524207 + 1.33566i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) −0.300439 5.73653i −0.0802956 1.53315i
\(15\) 3.40039 + 1.63754i 0.877977 + 0.422812i
\(16\) 1.51170 1.40265i 0.377925 0.350664i
\(17\) 4.13378 0.623068i 1.00259 0.151116i 0.372825 0.927902i \(-0.378389\pi\)
0.629765 + 0.776786i \(0.283151\pi\)
\(18\) 0.384358 0.665728i 0.0905941 0.156914i
\(19\) −2.88397 4.99518i −0.661627 1.14597i −0.980188 0.198070i \(-0.936533\pi\)
0.318561 0.947902i \(-0.396801\pi\)
\(20\) 3.48717 + 4.37277i 0.779755 + 0.977782i
\(21\) −0.470596 + 4.82254i −0.102692 + 1.05237i
\(22\) −2.65153 + 3.32492i −0.565309 + 0.708874i
\(23\) 1.19838 + 0.180626i 0.249879 + 0.0376632i 0.272787 0.962074i \(-0.412054\pi\)
−0.0229082 + 0.999738i \(0.507293\pi\)
\(24\) 2.34576 1.59931i 0.478827 0.326458i
\(25\) −0.622274 + 0.424259i −0.124455 + 0.0848519i
\(26\) −2.14692 0.323597i −0.421047 0.0634626i
\(27\) 3.02131 3.78860i 0.581451 0.729117i
\(28\) −3.72913 + 6.13630i −0.704739 + 1.15965i
\(29\) 4.84425 + 6.07450i 0.899555 + 1.12801i 0.991221 + 0.132216i \(0.0422093\pi\)
−0.0916661 + 0.995790i \(0.529219\pi\)
\(30\) −4.09717 7.09650i −0.748037 1.29564i
\(31\) −5.35291 + 9.27151i −0.961411 + 1.66521i −0.242447 + 0.970165i \(0.577950\pi\)
−0.718963 + 0.695048i \(0.755383\pi\)
\(32\) −7.49320 + 1.12942i −1.32462 + 0.199655i
\(33\) 2.62962 2.43993i 0.457758 0.424737i
\(34\) −8.17768 3.93817i −1.40246 0.675390i
\(35\) 4.43477 + 3.17188i 0.749614 + 0.536145i
\(36\) −0.865747 + 0.416922i −0.144291 + 0.0694870i
\(37\) 0.147931 0.376923i 0.0243198 0.0619658i −0.918198 0.396121i \(-0.870356\pi\)
0.942518 + 0.334156i \(0.108451\pi\)
\(38\) −0.935859 + 12.4882i −0.151816 + 2.02585i
\(39\) 1.75004 + 0.539817i 0.280231 + 0.0864399i
\(40\) −0.238739 3.18575i −0.0377479 0.503711i
\(41\) 2.35981 10.3390i 0.368541 1.61468i −0.362249 0.932081i \(-0.617991\pi\)
0.730790 0.682602i \(-0.239152\pi\)
\(42\) 6.74250 8.07563i 1.04039 1.24610i
\(43\) 0.267062 + 1.17008i 0.0407266 + 0.178435i 0.991200 0.132370i \(-0.0422586\pi\)
−0.950474 + 0.310805i \(0.899401\pi\)
\(44\) 5.07980 1.56691i 0.765808 0.236221i
\(45\) 0.266565 + 0.679198i 0.0397372 + 0.101249i
\(46\) −1.92886 1.78972i −0.284395 0.263880i
\(47\) 10.7816 + 7.35075i 1.57265 + 1.07222i 0.959293 + 0.282414i \(0.0911351\pi\)
0.613360 + 0.789803i \(0.289817\pi\)
\(48\) 3.77674 0.545125
\(49\) −1.86273 + 6.74761i −0.266104 + 0.963944i
\(50\) 1.63520 0.231252
\(51\) 6.32581 + 4.31287i 0.885791 + 0.603922i
\(52\) 1.98950 + 1.84599i 0.275894 + 0.255993i
\(53\) 1.56040 + 3.97584i 0.214338 + 0.546124i 0.997092 0.0762072i \(-0.0242811\pi\)
−0.782754 + 0.622331i \(0.786186\pi\)
\(54\) −10.0537 + 3.10115i −1.36813 + 0.422012i
\(55\) −0.898209 3.93531i −0.121115 0.530637i
\(56\) 3.73438 1.69608i 0.499027 0.226648i
\(57\) 2.35059 10.2986i 0.311343 1.36408i
\(58\) −1.26063 16.8219i −0.165529 2.20883i
\(59\) −8.61113 2.65618i −1.12107 0.345806i −0.321821 0.946800i \(-0.604295\pi\)
−0.799253 + 0.600995i \(0.794771\pi\)
\(60\) −0.765463 + 10.2144i −0.0988209 + 1.31867i
\(61\) −2.15148 + 5.48189i −0.275469 + 0.701884i 0.724452 + 0.689325i \(0.242093\pi\)
−0.999921 + 0.0125587i \(0.996002\pi\)
\(62\) 20.9423 10.0853i 2.65968 1.28083i
\(63\) −0.700826 + 0.621554i −0.0882958 + 0.0783085i
\(64\) 11.1075 + 5.34910i 1.38844 + 0.668637i
\(65\) 1.51067 1.40169i 0.187375 0.173859i
\(66\) −7.70149 + 1.16081i −0.947988 + 0.142886i
\(67\) 3.49131 6.04712i 0.426531 0.738774i −0.570031 0.821623i \(-0.693069\pi\)
0.996562 + 0.0828495i \(0.0264021\pi\)
\(68\) 5.67291 + 9.82576i 0.687941 + 1.19155i
\(69\) 1.38384 + 1.73528i 0.166595 + 0.208903i
\(70\) −4.07617 11.1141i −0.487195 1.32839i
\(71\) 2.28057 2.85974i 0.270653 0.339388i −0.627867 0.778321i \(-0.716072\pi\)
0.898520 + 0.438932i \(0.144643\pi\)
\(72\) 0.542733 + 0.0818039i 0.0639618 + 0.00964068i
\(73\) 0.0413083 0.0281635i 0.00483477 0.00329629i −0.560900 0.827883i \(-0.689545\pi\)
0.565735 + 0.824587i \(0.308593\pi\)
\(74\) −0.726377 + 0.495236i −0.0844396 + 0.0575700i
\(75\) −1.36390 0.205575i −0.157490 0.0237378i
\(76\) 9.76022 12.2389i 1.11957 1.40390i
\(77\) 4.34633 2.82233i 0.495311 0.321634i
\(78\) −2.47919 3.10880i −0.280713 0.352003i
\(79\) −6.04972 10.4784i −0.680646 1.17891i −0.974784 0.223151i \(-0.928366\pi\)
0.294138 0.955763i \(-0.404968\pi\)
\(80\) 2.12488 3.68041i 0.237569 0.411482i
\(81\) 9.82583 1.48100i 1.09176 0.164556i
\(82\) −16.8786 + 15.6611i −1.86393 + 1.72947i
\(83\) −8.62083 4.15157i −0.946259 0.455694i −0.103886 0.994589i \(-0.533128\pi\)
−0.842373 + 0.538895i \(0.818842\pi\)
\(84\) −12.6502 + 3.59281i −1.38026 + 0.392008i
\(85\) 7.76193 3.73795i 0.841899 0.405437i
\(86\) 0.951995 2.42564i 0.102656 0.261564i
\(87\) −1.06335 + 14.1895i −0.114004 + 1.52127i
\(88\) −2.90155 0.895009i −0.309306 0.0954083i
\(89\) −0.575740 7.68272i −0.0610283 0.814367i −0.940798 0.338967i \(-0.889923\pi\)
0.879770 0.475400i \(-0.157697\pi\)
\(90\) 0.352510 1.54445i 0.0371578 0.162799i
\(91\) 2.35734 + 1.20123i 0.247116 + 0.125923i
\(92\) 0.731902 + 3.20667i 0.0763060 + 0.334318i
\(93\) −18.7357 + 5.77918i −1.94280 + 0.599273i
\(94\) −10.3507 26.3731i −1.06759 2.72018i
\(95\) −8.71342 8.08488i −0.893978 0.829491i
\(96\) −11.4666 7.81782i −1.17031 0.797903i
\(97\) 0.774155 0.0786035 0.0393017 0.999227i \(-0.487487\pi\)
0.0393017 + 0.999227i \(0.487487\pi\)
\(98\) 11.5943 9.82636i 1.17120 0.992612i
\(99\) 0.693496 0.0696990
\(100\) −1.68885 1.15144i −0.168885 0.115144i
\(101\) 11.9297 + 11.0691i 1.18705 + 1.10142i 0.992716 + 0.120481i \(0.0384437\pi\)
0.194330 + 0.980936i \(0.437747\pi\)
\(102\) −6.07301 15.4738i −0.601318 1.53213i
\(103\) −13.4332 + 4.14359i −1.32361 + 0.408280i −0.874426 0.485160i \(-0.838762\pi\)
−0.449184 + 0.893439i \(0.648285\pi\)
\(104\) −0.344956 1.51135i −0.0338257 0.148200i
\(105\) 2.00264 + 9.78258i 0.195437 + 0.954682i
\(106\) 2.06350 9.04077i 0.200425 0.878117i
\(107\) −0.492456 6.57137i −0.0476076 0.635279i −0.969066 0.246802i \(-0.920620\pi\)
0.921458 0.388477i \(-0.126999\pi\)
\(108\) 12.5672 + 3.87648i 1.20928 + 0.373014i
\(109\) −0.0625692 + 0.834928i −0.00599304 + 0.0799716i −0.999398 0.0346842i \(-0.988957\pi\)
0.993405 + 0.114656i \(0.0365765\pi\)
\(110\) −3.20184 + 8.15816i −0.305284 + 0.777850i
\(111\) 0.668123 0.321751i 0.0634155 0.0305393i
\(112\) 5.37550 + 0.934224i 0.507937 + 0.0882759i
\(113\) 11.0322 + 5.31284i 1.03783 + 0.499790i 0.873606 0.486634i \(-0.161775\pi\)
0.164219 + 0.986424i \(0.447490\pi\)
\(114\) −16.8126 + 15.5998i −1.57464 + 1.46106i
\(115\) 2.46961 0.372233i 0.230292 0.0347109i
\(116\) −10.5433 + 18.2616i −0.978922 + 1.69554i
\(117\) 0.177028 + 0.306621i 0.0163662 + 0.0283471i
\(118\) 12.1989 + 15.2969i 1.12300 + 1.40820i
\(119\) 7.93681 + 7.70336i 0.727566 + 0.706166i
\(120\) 3.64789 4.57431i 0.333005 0.417575i
\(121\) 7.08340 + 1.06765i 0.643945 + 0.0970592i
\(122\) 10.5643 7.20260i 0.956445 0.652093i
\(123\) 16.0471 10.9408i 1.44692 0.986495i
\(124\) −28.7311 4.33051i −2.58013 0.388891i
\(125\) −7.39211 + 9.26941i −0.661170 + 0.829081i
\(126\) 2.01742 0.257855i 0.179726 0.0229716i
\(127\) −8.63340 10.8259i −0.766091 0.960647i 0.233842 0.972275i \(-0.424870\pi\)
−0.999932 + 0.0116275i \(0.996299\pi\)
\(128\) −5.80573 10.0558i −0.513159 0.888817i
\(129\) −1.09900 + 1.90352i −0.0967613 + 0.167596i
\(130\) −4.42436 + 0.666865i −0.388042 + 0.0584880i
\(131\) −4.82406 + 4.47608i −0.421480 + 0.391077i −0.862200 0.506568i \(-0.830914\pi\)
0.440719 + 0.897645i \(0.354723\pi\)
\(132\) 8.77157 + 4.22417i 0.763467 + 0.367667i
\(133\) 5.89313 14.0767i 0.510999 1.22061i
\(134\) −13.6591 + 6.57789i −1.17997 + 0.568243i
\(135\) 3.64836 9.29588i 0.314001 0.800062i
\(136\) 0.484300 6.46254i 0.0415284 0.554158i
\(137\) −10.1703 3.13711i −0.868905 0.268022i −0.171923 0.985110i \(-0.554998\pi\)
−0.696982 + 0.717089i \(0.745474\pi\)
\(138\) −0.360120 4.80547i −0.0306555 0.409069i
\(139\) −1.99178 + 8.72655i −0.168940 + 0.740177i 0.817483 + 0.575953i \(0.195369\pi\)
−0.986423 + 0.164223i \(0.947488\pi\)
\(140\) −3.61616 + 14.3490i −0.305622 + 1.21271i
\(141\) 5.31780 + 23.2988i 0.447840 + 1.96211i
\(142\) −7.58878 + 2.34083i −0.636836 + 0.196438i
\(143\) −0.715601 1.82332i −0.0598416 0.152474i
\(144\) 0.535226 + 0.496618i 0.0446022 + 0.0413848i
\(145\) 13.2293 + 9.01958i 1.09863 + 0.749036i
\(146\) −0.108549 −0.00898359
\(147\) −10.9061 + 6.73843i −0.899517 + 0.555777i
\(148\) 1.09893 0.0903318
\(149\) 2.93125 + 1.99849i 0.240137 + 0.163723i 0.677409 0.735607i \(-0.263103\pi\)
−0.437272 + 0.899330i \(0.644055\pi\)
\(150\) 2.19529 + 2.03693i 0.179244 + 0.166314i
\(151\) −2.60416 6.63528i −0.211923 0.539972i 0.784900 0.619623i \(-0.212715\pi\)
−0.996823 + 0.0796514i \(0.974619\pi\)
\(152\) −8.54431 + 2.63557i −0.693035 + 0.213773i
\(153\) 0.329358 + 1.44301i 0.0266270 + 0.116661i
\(154\) −11.2488 0.252856i −0.906455 0.0203757i
\(155\) −4.90936 + 21.5093i −0.394329 + 1.72767i
\(156\) 0.371442 + 4.95654i 0.0297391 + 0.396841i
\(157\) −15.3195 4.72543i −1.22263 0.377130i −0.384766 0.923014i \(-0.625718\pi\)
−0.837861 + 0.545884i \(0.816194\pi\)
\(158\) −1.96316 + 26.1965i −0.156181 + 2.08408i
\(159\) −2.85773 + 7.28139i −0.226633 + 0.577452i
\(160\) −14.0698 + 6.77568i −1.11232 + 0.535664i
\(161\) 1.54040 + 2.81217i 0.121401 + 0.221630i
\(162\) −19.4380 9.36085i −1.52719 0.735458i
\(163\) −17.3804 + 16.1266i −1.36133 + 1.26313i −0.428163 + 0.903701i \(0.640839\pi\)
−0.933171 + 0.359432i \(0.882970\pi\)
\(164\) 28.4603 4.28969i 2.22237 0.334969i
\(165\) 3.69625 6.40210i 0.287753 0.498403i
\(166\) 10.3873 + 17.9914i 0.806213 + 1.39640i
\(167\) 3.31198 + 4.15310i 0.256289 + 0.321376i 0.893285 0.449491i \(-0.148395\pi\)
−0.636996 + 0.770867i \(0.719823\pi\)
\(168\) 7.12623 + 2.37480i 0.549800 + 0.183220i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −18.4959 2.78782i −1.41857 0.213816i
\(171\) 1.68732 1.15039i 0.129033 0.0879729i
\(172\) −2.69127 + 1.83488i −0.205207 + 0.139908i
\(173\) −0.640727 0.0965741i −0.0487136 0.00734239i 0.124640 0.992202i \(-0.460222\pi\)
−0.173354 + 0.984860i \(0.555460\pi\)
\(174\) 19.2622 24.1541i 1.46027 1.83112i
\(175\) −1.89042 0.629978i −0.142902 0.0476219i
\(176\) −2.51845 3.15804i −0.189835 0.238046i
\(177\) −8.25186 14.2926i −0.620248 1.07430i
\(178\) −8.36365 + 14.4863i −0.626882 + 1.08579i
\(179\) −25.2028 + 3.79872i −1.88375 + 0.283929i −0.987257 0.159133i \(-0.949130\pi\)
−0.896491 + 0.443062i \(0.853892\pi\)
\(180\) −1.45161 + 1.34690i −0.108197 + 0.100392i
\(181\) 10.5256 + 5.06888i 0.782365 + 0.376767i 0.782036 0.623233i \(-0.214181\pi\)
0.000328569 1.00000i \(0.499895\pi\)
\(182\) −2.75967 5.03808i −0.204560 0.373447i
\(183\) −9.71705 + 4.67948i −0.718305 + 0.345917i
\(184\) 0.686378 1.74886i 0.0506005 0.128928i
\(185\) 0.0623579 0.832108i 0.00458464 0.0611778i
\(186\) 40.6784 + 12.5476i 2.98268 + 0.920036i
\(187\) −0.611919 8.16549i −0.0447480 0.597120i
\(188\) −7.88056 + 34.5270i −0.574749 + 2.51814i
\(189\) 12.8176 + 0.288119i 0.932340 + 0.0209576i
\(190\) 5.74275 + 25.1606i 0.416623 + 1.82534i
\(191\) −2.22001 + 0.684782i −0.160634 + 0.0495491i −0.374029 0.927417i \(-0.622024\pi\)
0.213395 + 0.976966i \(0.431548\pi\)
\(192\) 8.24880 + 21.0176i 0.595306 + 1.51681i
\(193\) −1.91425 1.77616i −0.137791 0.127851i 0.608267 0.793733i \(-0.291865\pi\)
−0.746057 + 0.665882i \(0.768056\pi\)
\(194\) −1.38876 0.946842i −0.0997074 0.0679793i
\(195\) 3.77415 0.270272
\(196\) −18.8941 + 1.98452i −1.34958 + 0.141751i
\(197\) −18.8436 −1.34255 −0.671274 0.741209i \(-0.734253\pi\)
−0.671274 + 0.741209i \(0.734253\pi\)
\(198\) −1.24407 0.848192i −0.0884121 0.0602784i
\(199\) 7.61269 + 7.06355i 0.539649 + 0.500721i 0.902244 0.431225i \(-0.141919\pi\)
−0.362595 + 0.931947i \(0.618109\pi\)
\(200\) 0.426548 + 1.08683i 0.0301615 + 0.0768503i
\(201\) 12.2199 3.76934i 0.861924 0.265868i
\(202\) −7.86247 34.4477i −0.553201 2.42373i
\(203\) −5.02344 + 19.9331i −0.352577 + 1.39903i
\(204\) −4.62372 + 20.2578i −0.323725 + 1.41833i
\(205\) −1.63319 21.7934i −0.114067 1.52212i
\(206\) 29.1658 + 8.99645i 2.03208 + 0.626812i
\(207\) −0.0320656 + 0.427885i −0.00222871 + 0.0297401i
\(208\) 0.753407 1.91965i 0.0522394 0.133104i
\(209\) −10.1789 + 4.90192i −0.704092 + 0.339073i
\(210\) 8.37219 19.9984i 0.577736 1.38002i
\(211\) −4.35614 2.09781i −0.299889 0.144419i 0.277888 0.960613i \(-0.410366\pi\)
−0.577777 + 0.816194i \(0.696080\pi\)
\(212\) −8.49734 + 7.88438i −0.583599 + 0.541501i
\(213\) 6.62400 0.998407i 0.453869 0.0684097i
\(214\) −7.15380 + 12.3908i −0.489024 + 0.847014i
\(215\) 1.23665 + 2.14193i 0.0843386 + 0.146079i
\(216\) −4.68369 5.87317i −0.318685 0.399618i
\(217\) −28.0964 + 3.59111i −1.90731 + 0.243781i
\(218\) 1.13342 1.42126i 0.0767646 0.0962598i
\(219\) 0.0905396 + 0.0136466i 0.00611810 + 0.000922155i
\(220\) 9.05153 6.17123i 0.610254 0.416064i
\(221\) 3.45407 2.35495i 0.232346 0.158411i
\(222\) −1.59208 0.239967i −0.106853 0.0161055i
\(223\) 8.34680 10.4666i 0.558943 0.700892i −0.419419 0.907793i \(-0.637766\pi\)
0.978362 + 0.206900i \(0.0663376\pi\)
\(224\) −14.3869 13.9637i −0.961262 0.932988i
\(225\) −0.166256 0.208478i −0.0110837 0.0138986i
\(226\) −13.2929 23.0239i −0.884228 1.53153i
\(227\) 14.1883 24.5748i 0.941709 1.63109i 0.179498 0.983758i \(-0.442553\pi\)
0.762211 0.647329i \(-0.224114\pi\)
\(228\) 28.3490 4.27292i 1.87746 0.282981i
\(229\) −7.57760 + 7.03098i −0.500742 + 0.464621i −0.889642 0.456660i \(-0.849046\pi\)
0.388900 + 0.921280i \(0.372855\pi\)
\(230\) −4.88552 2.35274i −0.322141 0.155135i
\(231\) 9.35072 + 1.62509i 0.615232 + 0.106923i
\(232\) 10.8518 5.22593i 0.712453 0.343099i
\(233\) −0.144745 + 0.368805i −0.00948257 + 0.0241612i −0.935537 0.353230i \(-0.885083\pi\)
0.926054 + 0.377391i \(0.123179\pi\)
\(234\) 0.0574463 0.766567i 0.00375538 0.0501121i
\(235\) 25.6965 + 7.92632i 1.67625 + 0.517056i
\(236\) −1.82769 24.3888i −0.118972 1.58758i
\(237\) 4.93084 21.6034i 0.320293 1.40329i
\(238\) −4.81619 23.5264i −0.312187 1.52499i
\(239\) 0.604746 + 2.64956i 0.0391177 + 0.171386i 0.990713 0.135967i \(-0.0434140\pi\)
−0.951596 + 0.307353i \(0.900557\pi\)
\(240\) 7.43728 2.29410i 0.480074 0.148083i
\(241\) −7.81494 19.9122i −0.503405 1.28265i −0.926406 0.376526i \(-0.877119\pi\)
0.423001 0.906129i \(-0.360977\pi\)
\(242\) −11.4012 10.5787i −0.732895 0.680027i
\(243\) 3.02481 + 2.06228i 0.194042 + 0.132296i
\(244\) −15.9827 −1.02319
\(245\) 0.430544 + 14.4191i 0.0275065 + 0.921203i
\(246\) −42.1684 −2.68856
\(247\) −4.76569 3.24919i −0.303234 0.206741i
\(248\) 12.1660 + 11.2884i 0.772542 + 0.716814i
\(249\) −6.40210 16.3123i −0.405717 1.03375i
\(250\) 24.5979 7.58744i 1.55571 0.479872i
\(251\) 4.70262 + 20.6035i 0.296827 + 1.30048i 0.874822 + 0.484444i \(0.160978\pi\)
−0.577995 + 0.816040i \(0.696165\pi\)
\(252\) −2.26518 1.15427i −0.142693 0.0727121i
\(253\) 0.528221 2.31429i 0.0332090 0.145498i
\(254\) 2.24669 + 29.9800i 0.140970 + 1.88111i
\(255\) 15.0768 + 4.65057i 0.944145 + 0.291230i
\(256\) −0.0413766 + 0.552132i −0.00258604 + 0.0345082i
\(257\) 10.7232 27.3223i 0.668896 1.70432i −0.0401846 0.999192i \(-0.512795\pi\)
0.709081 0.705127i \(-0.249110\pi\)
\(258\) 4.29963 2.07059i 0.267683 0.128910i
\(259\) 1.03054 0.292686i 0.0640348 0.0181866i
\(260\) 5.03911 + 2.42671i 0.312512 + 0.150498i
\(261\) −2.01652 + 1.87106i −0.124820 + 0.115816i
\(262\) 14.1285 2.12952i 0.872860 0.131562i
\(263\) 12.8964 22.3372i 0.795226 1.37737i −0.127470 0.991842i \(-0.540686\pi\)
0.922696 0.385529i \(-0.125981\pi\)
\(264\) −2.78049 4.81595i −0.171127 0.296401i
\(265\) 5.48784 + 6.88153i 0.337115 + 0.422729i
\(266\) −27.7885 + 18.0447i −1.70382 + 1.10639i
\(267\) 8.79722 11.0314i 0.538381 0.675109i
\(268\) 18.7392 + 2.82447i 1.14468 + 0.172532i
\(269\) 8.67642 5.91548i 0.529011 0.360673i −0.269169 0.963093i \(-0.586749\pi\)
0.798180 + 0.602420i \(0.205797\pi\)
\(270\) −17.9143 + 12.2138i −1.09023 + 0.743306i
\(271\) −25.8236 3.89228i −1.56867 0.236439i −0.693574 0.720386i \(-0.743965\pi\)
−0.875098 + 0.483946i \(0.839203\pi\)
\(272\) 5.37510 6.74016i 0.325913 0.408682i
\(273\) 1.66843 + 4.54915i 0.100978 + 0.275327i
\(274\) 14.4076 + 18.0666i 0.870397 + 1.09144i
\(275\) 0.737597 + 1.27756i 0.0444788 + 0.0770395i
\(276\) −3.01187 + 5.21672i −0.181294 + 0.314010i
\(277\) 1.42708 0.215098i 0.0857451 0.0129240i −0.106030 0.994363i \(-0.533814\pi\)
0.191775 + 0.981439i \(0.438576\pi\)
\(278\) 14.2462 13.2186i 0.854432 0.792797i
\(279\) −3.41508 1.64462i −0.204456 0.0984606i
\(280\) 6.32362 5.60835i 0.377909 0.335163i
\(281\) 2.80745 1.35199i 0.167478 0.0806532i −0.348267 0.937396i \(-0.613230\pi\)
0.515745 + 0.856742i \(0.327515\pi\)
\(282\) 18.9563 48.3000i 1.12883 2.87622i
\(283\) 0.164940 2.20097i 0.00980468 0.130834i −0.990153 0.139986i \(-0.955294\pi\)
0.999958 + 0.00915195i \(0.00291320\pi\)
\(284\) 9.48608 + 2.92607i 0.562895 + 0.173630i
\(285\) −1.62680 21.7082i −0.0963635 1.28588i
\(286\) −0.946321 + 4.14610i −0.0559571 + 0.245164i
\(287\) 25.5465 11.6027i 1.50796 0.684887i
\(288\) −0.597019 2.61571i −0.0351797 0.154132i
\(289\) 0.455219 0.140416i 0.0267776 0.00825979i
\(290\) −12.7006 32.3606i −0.745805 1.90028i
\(291\) 1.03932 + 0.964344i 0.0609258 + 0.0565309i
\(292\) 0.112111 + 0.0764357i 0.00656078 + 0.00447306i
\(293\) −25.4482 −1.48670 −0.743350 0.668903i \(-0.766764\pi\)
−0.743350 + 0.668903i \(0.766764\pi\)
\(294\) 27.8060 + 1.25071i 1.62168 + 0.0729427i
\(295\) −18.5708 −1.08123
\(296\) −0.518634 0.353598i −0.0301450 0.0205525i
\(297\) −6.95782 6.45591i −0.403734 0.374610i
\(298\) −2.81411 7.17023i −0.163017 0.415360i
\(299\) 1.15807 0.357218i 0.0669730 0.0206584i
\(300\) −0.832995 3.64959i −0.0480930 0.210709i
\(301\) −2.03508 + 2.43746i −0.117300 + 0.140493i
\(302\) −3.44377 + 15.0881i −0.198167 + 0.868225i
\(303\) 2.22728 + 29.7209i 0.127954 + 1.70742i
\(304\) −11.3662 3.50601i −0.651896 0.201083i
\(305\) −0.906920 + 12.1020i −0.0519301 + 0.692959i
\(306\) 1.17406 2.99146i 0.0671166 0.171010i
\(307\) −15.2969 + 7.36660i −0.873040 + 0.420434i −0.816077 0.577943i \(-0.803856\pi\)
−0.0569623 + 0.998376i \(0.518141\pi\)
\(308\) 11.4398 + 8.18210i 0.651846 + 0.466218i
\(309\) −23.1958 11.1705i −1.31956 0.635469i
\(310\) 35.1142 32.5813i 1.99435 1.85049i
\(311\) −28.6360 + 4.31619i −1.62380 + 0.244748i −0.896977 0.442077i \(-0.854242\pi\)
−0.726823 + 0.686825i \(0.759004\pi\)
\(312\) 1.41954 2.45872i 0.0803658 0.139198i
\(313\) 6.69180 + 11.5905i 0.378243 + 0.655136i 0.990807 0.135285i \(-0.0431952\pi\)
−0.612564 + 0.790421i \(0.709862\pi\)
\(314\) 21.7022 + 27.2137i 1.22473 + 1.53576i
\(315\) −1.00254 + 1.64969i −0.0564868 + 0.0929495i
\(316\) 20.4741 25.6737i 1.15176 1.44426i
\(317\) −2.56308 0.386322i −0.143957 0.0216980i 0.0766684 0.997057i \(-0.475572\pi\)
−0.220625 + 0.975359i \(0.570810\pi\)
\(318\) 14.0321 9.56695i 0.786883 0.536488i
\(319\) 12.5741 8.57285i 0.704012 0.479987i
\(320\) 25.1225 + 3.78661i 1.40439 + 0.211678i
\(321\) 7.52466 9.43562i 0.419985 0.526645i
\(322\) 0.676129 6.92880i 0.0376792 0.386127i
\(323\) −15.0340 18.8521i −0.836516 1.04896i
\(324\) 13.4843 + 23.3554i 0.749125 + 1.29752i
\(325\) −0.376571 + 0.652239i −0.0208884 + 0.0361797i
\(326\) 50.9027 7.67235i 2.81924 0.424932i
\(327\) −1.12405 + 1.04296i −0.0621600 + 0.0576761i
\(328\) −14.8119 7.13302i −0.817849 0.393855i
\(329\) 1.80567 + 34.4771i 0.0995496 + 1.90078i
\(330\) −14.4609 + 6.96402i −0.796048 + 0.383357i
\(331\) −10.7922 + 27.4981i −0.593194 + 1.51143i 0.246927 + 0.969034i \(0.420579\pi\)
−0.840121 + 0.542399i \(0.817516\pi\)
\(332\) 1.94064 25.8960i 0.106506 1.42123i
\(333\) 0.136993 + 0.0422566i 0.00750715 + 0.00231565i
\(334\) −0.861885 11.5011i −0.0471602 0.629309i
\(335\) 3.20201 14.0289i 0.174945 0.766483i
\(336\) 6.05296 + 7.95033i 0.330216 + 0.433726i
\(337\) 2.79968 + 12.2662i 0.152508 + 0.668182i 0.992151 + 0.125043i \(0.0399070\pi\)
−0.839643 + 0.543139i \(0.817236\pi\)
\(338\) −2.07472 + 0.639965i −0.112850 + 0.0348095i
\(339\) 8.19289 + 20.8752i 0.444977 + 1.13378i
\(340\) 17.1397 + 15.9034i 0.929533 + 0.862481i
\(341\) 17.3260 + 11.8127i 0.938255 + 0.639692i
\(342\) −4.43391 −0.239758
\(343\) −17.1896 + 6.89318i −0.928154 + 0.372197i
\(344\) 1.86052 0.100313
\(345\) 3.77917 + 2.57659i 0.203464 + 0.138719i
\(346\) 1.03129 + 0.956897i 0.0554425 + 0.0514431i
\(347\) −1.07017 2.72675i −0.0574499 0.146380i 0.899267 0.437400i \(-0.144101\pi\)
−0.956717 + 0.291020i \(0.906005\pi\)
\(348\) −36.9025 + 11.3829i −1.97818 + 0.610189i
\(349\) −3.30762 14.4916i −0.177053 0.775720i −0.982981 0.183706i \(-0.941190\pi\)
0.805928 0.592013i \(-0.201667\pi\)
\(350\) 2.62073 + 3.44223i 0.140084 + 0.183995i
\(351\) 1.07829 4.72431i 0.0575550 0.252165i
\(352\) 1.10921 + 14.8014i 0.0591211 + 0.788916i
\(353\) 1.33347 + 0.411320i 0.0709732 + 0.0218923i 0.330038 0.943967i \(-0.392938\pi\)
−0.259065 + 0.965860i \(0.583414\pi\)
\(354\) −2.67776 + 35.7323i −0.142321 + 1.89915i
\(355\) 2.75388 7.01678i 0.146161 0.372412i
\(356\) 18.8387 9.07223i 0.998449 0.480827i
\(357\) 1.05943 + 20.2286i 0.0560709 + 1.07061i
\(358\) 49.8577 + 24.0102i 2.63506 + 1.26898i
\(359\) 1.11016 1.03008i 0.0585922 0.0543656i −0.650333 0.759649i \(-0.725371\pi\)
0.708925 + 0.705283i \(0.249180\pi\)
\(360\) 1.11846 0.168581i 0.0589480 0.00888499i
\(361\) −7.13453 + 12.3574i −0.375501 + 0.650388i
\(362\) −12.6825 21.9667i −0.666576 1.15454i
\(363\) 8.17964 + 10.2569i 0.429320 + 0.538350i
\(364\) −0.697386 + 7.14662i −0.0365529 + 0.374585i
\(365\) 0.0642384 0.0805524i 0.00336239 0.00421631i
\(366\) 23.1548 + 3.49003i 1.21032 + 0.182427i
\(367\) −0.734050 + 0.500467i −0.0383171 + 0.0261242i −0.582327 0.812955i \(-0.697858\pi\)
0.544010 + 0.839079i \(0.316905\pi\)
\(368\) 2.06495 1.40786i 0.107643 0.0733896i
\(369\) 3.71279 + 0.559613i 0.193280 + 0.0291323i
\(370\) −1.12959 + 1.41646i −0.0587245 + 0.0736381i
\(371\) −5.86861 + 9.65684i −0.304683 + 0.501358i
\(372\) −33.1775 41.6033i −1.72018 2.15703i
\(373\) −5.09265 8.82073i −0.263687 0.456720i 0.703531 0.710664i \(-0.251605\pi\)
−0.967219 + 0.253944i \(0.918272\pi\)
\(374\) −8.88921 + 15.3966i −0.459650 + 0.796138i
\(375\) −21.4707 + 3.23619i −1.10874 + 0.167116i
\(376\) 14.8287 13.7591i 0.764734 0.709569i
\(377\) 7.00015 + 3.37109i 0.360526 + 0.173620i
\(378\) −22.6411 16.1936i −1.16453 0.832908i
\(379\) 18.5792 8.94728i 0.954350 0.459591i 0.109141 0.994026i \(-0.465190\pi\)
0.845209 + 0.534435i \(0.179476\pi\)
\(380\) 11.7859 30.0300i 0.604604 1.54050i
\(381\) 1.89510 25.2884i 0.0970892 1.29556i
\(382\) 4.82003 + 1.48678i 0.246614 + 0.0760704i
\(383\) 0.151124 + 2.01660i 0.00772205 + 0.103044i 0.999733 0.0231085i \(-0.00735631\pi\)
−0.992011 + 0.126152i \(0.959737\pi\)
\(384\) 4.73198 20.7322i 0.241478 1.05798i
\(385\) 6.84459 8.19791i 0.348833 0.417804i
\(386\) 1.26162 + 5.52753i 0.0642149 + 0.281344i
\(387\) −0.406047 + 0.125249i −0.0206406 + 0.00636677i
\(388\) 0.767602 + 1.95582i 0.0389691 + 0.0992916i
\(389\) −8.75448 8.12297i −0.443870 0.411851i 0.426316 0.904574i \(-0.359811\pi\)
−0.870186 + 0.492723i \(0.836002\pi\)
\(390\) −6.77048 4.61603i −0.342837 0.233742i
\(391\) 5.06638 0.256218
\(392\) 9.55546 + 5.14287i 0.482623 + 0.259754i
\(393\) −12.0521 −0.607949
\(394\) 33.8036 + 23.0469i 1.70300 + 1.16109i
\(395\) −18.2782 16.9597i −0.919677 0.853335i
\(396\) 0.687626 + 1.75204i 0.0345545 + 0.0880435i
\(397\) 6.56279 2.02435i 0.329377 0.101599i −0.125656 0.992074i \(-0.540104\pi\)
0.455033 + 0.890474i \(0.349627\pi\)
\(398\) −5.01729 21.9822i −0.251494 1.10187i
\(399\) 25.4466 11.5573i 1.27393 0.578591i
\(400\) −0.345604 + 1.51419i −0.0172802 + 0.0757095i
\(401\) 0.00120659 + 0.0161008i 6.02542e−5 + 0.000804037i 0.997234 0.0743281i \(-0.0236812\pi\)
−0.997174 + 0.0751321i \(0.976062\pi\)
\(402\) −26.5315 8.18389i −1.32327 0.408175i
\(403\) −0.800047 + 10.6759i −0.0398532 + 0.531804i
\(404\) −16.1362 + 41.1144i −0.802807 + 2.04552i
\(405\) 18.4498 8.88494i 0.916776 0.441496i
\(406\) 33.3911 29.6142i 1.65717 1.46973i
\(407\) −0.714569 0.344118i −0.0354199 0.0170573i
\(408\) 8.70039 8.07278i 0.430734 0.399662i
\(409\) 25.5647 3.85326i 1.26409 0.190532i 0.517426 0.855728i \(-0.326890\pi\)
0.746669 + 0.665196i \(0.231652\pi\)
\(410\) −23.7250 + 41.0929i −1.17169 + 2.02943i
\(411\) −9.74594 16.8805i −0.480732 0.832652i
\(412\) −23.7878 29.8289i −1.17194 1.46957i
\(413\) −8.20956 22.3842i −0.403966 1.10145i
\(414\) 0.580855 0.728369i 0.0285474 0.0357974i
\(415\) −19.4982 2.93888i −0.957130 0.144264i
\(416\) −6.26111 + 4.26875i −0.306976 + 0.209293i
\(417\) −13.5444 + 9.23444i −0.663274 + 0.452213i
\(418\) 24.2555 + 3.65592i 1.18637 + 0.178817i
\(419\) −2.92130 + 3.66319i −0.142715 + 0.178959i −0.848052 0.529914i \(-0.822224\pi\)
0.705337 + 0.708872i \(0.250796\pi\)
\(420\) −22.7289 + 14.7592i −1.10906 + 0.720176i
\(421\) 1.98378 + 2.48758i 0.0966834 + 0.121237i 0.827820 0.560994i \(-0.189581\pi\)
−0.731136 + 0.682231i \(0.761010\pi\)
\(422\) 5.24876 + 9.09112i 0.255506 + 0.442549i
\(423\) −2.31003 + 4.00109i −0.112318 + 0.194540i
\(424\) 6.54717 0.986827i 0.317959 0.0479245i
\(425\) −2.30801 + 2.14152i −0.111955 + 0.103879i
\(426\) −13.1040 6.31054i −0.634889 0.305747i
\(427\) −14.9880 + 4.25676i −0.725320 + 0.205999i
\(428\) 16.1136 7.75989i 0.778879 0.375088i
\(429\) 1.31056 3.33925i 0.0632743 0.161220i
\(430\) 0.401297 5.35494i 0.0193523 0.258238i
\(431\) −11.5289 3.55618i −0.555325 0.171295i 0.00437467 0.999990i \(-0.498607\pi\)
−0.559700 + 0.828695i \(0.689084\pi\)
\(432\) −0.746780 9.96509i −0.0359295 0.479446i
\(433\) 1.22630 5.37278i 0.0589323 0.258199i −0.936876 0.349661i \(-0.886297\pi\)
0.995809 + 0.0914616i \(0.0291539\pi\)
\(434\) 54.7945 + 27.9216i 2.63022 + 1.34028i
\(435\) 6.52510 + 28.5883i 0.312855 + 1.37071i
\(436\) −2.17139 + 0.669787i −0.103991 + 0.0320770i
\(437\) −2.55382 6.50703i −0.122166 0.311274i
\(438\) −0.145729 0.135217i −0.00696320 0.00646091i
\(439\) 24.3276 + 16.5863i 1.16109 + 0.791619i 0.981376 0.192099i \(-0.0615294\pi\)
0.179717 + 0.983718i \(0.442482\pi\)
\(440\) −6.25749 −0.298314
\(441\) −2.43163 0.479132i −0.115792 0.0228158i
\(442\) −9.07655 −0.431727
\(443\) −25.9600 17.6992i −1.23340 0.840915i −0.241804 0.970325i \(-0.577739\pi\)
−0.991591 + 0.129411i \(0.958691\pi\)
\(444\) 1.47534 + 1.36891i 0.0700164 + 0.0649658i
\(445\) −5.80047 14.7794i −0.274969 0.700609i
\(446\) −27.7747 + 8.56736i −1.31517 + 0.405676i
\(447\) 1.44578 + 6.33439i 0.0683832 + 0.299607i
\(448\) 6.54170 + 31.9552i 0.309066 + 1.50974i
\(449\) −1.88058 + 8.23937i −0.0887502 + 0.388840i −0.999721 0.0236315i \(-0.992477\pi\)
0.910971 + 0.412471i \(0.135334\pi\)
\(450\) 0.0432651 + 0.577333i 0.00203954 + 0.0272157i
\(451\) −19.8492 6.12267i −0.934663 0.288305i
\(452\) −2.48347 + 33.1396i −0.116813 + 1.55876i
\(453\) 4.76927 12.1519i 0.224080 0.570947i
\(454\) −55.5091 + 26.7318i −2.60517 + 1.25458i
\(455\) 5.37182 + 0.933585i 0.251835 + 0.0437671i
\(456\) −14.7540 7.10513i −0.690917 0.332728i
\(457\) 6.35986 5.90109i 0.297502 0.276041i −0.517271 0.855822i \(-0.673052\pi\)
0.814773 + 0.579780i \(0.196862\pi\)
\(458\) 22.1929 3.34504i 1.03701 0.156303i
\(459\) 10.1289 17.5437i 0.472776 0.818872i
\(460\) 3.38911 + 5.87011i 0.158018 + 0.273695i
\(461\) −13.4558 16.8730i −0.626698 0.785855i 0.362571 0.931956i \(-0.381899\pi\)
−0.989270 + 0.146101i \(0.953327\pi\)
\(462\) −14.7868 14.3518i −0.687942 0.667707i
\(463\) −16.1913 + 20.3033i −0.752475 + 0.943574i −0.999678 0.0253896i \(-0.991917\pi\)
0.247202 + 0.968964i \(0.420489\pi\)
\(464\) 15.8435 + 2.38802i 0.735515 + 0.110861i
\(465\) −33.3845 + 22.7611i −1.54817 + 1.05552i
\(466\) 0.710732 0.484569i 0.0329240 0.0224472i
\(467\) 17.2259 + 2.59638i 0.797118 + 0.120146i 0.534959 0.844878i \(-0.320327\pi\)
0.262160 + 0.965025i \(0.415565\pi\)
\(468\) −0.599116 + 0.751267i −0.0276941 + 0.0347273i
\(469\) 18.3252 2.34222i 0.846179 0.108154i
\(470\) −36.4028 45.6476i −1.67913 2.10557i
\(471\) −14.6803 25.4270i −0.676432 1.17162i
\(472\) −6.98489 + 12.0982i −0.321506 + 0.556864i
\(473\) 2.32454 0.350367i 0.106882 0.0161099i
\(474\) −35.2679 + 32.7238i −1.61991 + 1.50306i
\(475\) 3.91387 + 1.88482i 0.179581 + 0.0864815i
\(476\) −11.5921 + 27.6896i −0.531322 + 1.26915i
\(477\) −1.36245 + 0.656120i −0.0623821 + 0.0300416i
\(478\) 2.15573 5.49272i 0.0986010 0.251231i
\(479\) 1.29967 17.3430i 0.0593836 0.792420i −0.885422 0.464788i \(-0.846130\pi\)
0.944806 0.327632i \(-0.106250\pi\)
\(480\) −27.3293 8.42997i −1.24741 0.384774i
\(481\) −0.0302592 0.403781i −0.00137970 0.0184108i
\(482\) −10.3346 + 45.2788i −0.470728 + 2.06239i
\(483\) −1.43503 + 5.69423i −0.0652962 + 0.259096i
\(484\) 4.32614 + 18.9541i 0.196643 + 0.861548i
\(485\) 1.52449 0.470244i 0.0692237 0.0213527i
\(486\) −2.90393 7.39910i −0.131725 0.335630i
\(487\) 24.5591 + 22.7875i 1.11288 + 1.03260i 0.999236 + 0.0390779i \(0.0124421\pi\)
0.113642 + 0.993522i \(0.463748\pi\)
\(488\) 7.54290 + 5.14266i 0.341451 + 0.232797i
\(489\) −43.4219 −1.96361
\(490\) 16.8632 26.3932i 0.761800 1.19232i
\(491\) 23.2421 1.04890 0.524451 0.851441i \(-0.324271\pi\)
0.524451 + 0.851441i \(0.324271\pi\)
\(492\) 43.5519 + 29.6932i 1.96347 + 1.33867i
\(493\) 23.8099 + 22.0924i 1.07234 + 0.994990i
\(494\) 4.57524 + 11.6575i 0.205850 + 0.524496i
\(495\) 1.36566 0.421250i 0.0613817 0.0189338i
\(496\) 4.91272 + 21.5240i 0.220588 + 0.966458i
\(497\) 9.67503 + 0.217480i 0.433985 + 0.00975532i
\(498\) −8.46623 + 37.0930i −0.379381 + 1.66218i
\(499\) 3.15983 + 42.1650i 0.141453 + 1.88757i 0.392736 + 0.919651i \(0.371529\pi\)
−0.251282 + 0.967914i \(0.580852\pi\)
\(500\) −30.7477 9.48441i −1.37508 0.424156i
\(501\) −0.727008 + 9.70125i −0.0324803 + 0.433420i
\(502\) 16.7634 42.7125i 0.748188 1.90635i
\(503\) −13.1356 + 6.32579i −0.585690 + 0.282053i −0.703170 0.711022i \(-0.748233\pi\)
0.117480 + 0.993075i \(0.462518\pi\)
\(504\) 0.697633 + 1.27360i 0.0310751 + 0.0567309i
\(505\) 30.2160 + 14.5513i 1.34459 + 0.647523i
\(506\) −3.77811 + 3.50557i −0.167957 + 0.155842i
\(507\) 1.81095 0.272957i 0.0804272 0.0121225i
\(508\) 18.7902 32.5457i 0.833682 1.44398i
\(509\) 6.46543 + 11.1985i 0.286575 + 0.496363i 0.972990 0.230848i \(-0.0741499\pi\)
−0.686415 + 0.727210i \(0.740817\pi\)
\(510\) −21.3584 26.7826i −0.945766 1.18595i
\(511\) 0.125491 + 0.0418197i 0.00555140 + 0.00184999i
\(512\) −13.7297 + 17.2165i −0.606774 + 0.760871i
\(513\) −27.6381 4.16577i −1.22025 0.183923i
\(514\) −52.6535 + 35.8985i −2.32245 + 1.58342i
\(515\) −23.9362 + 16.3194i −1.05475 + 0.719118i
\(516\) −5.89873 0.889091i −0.259677 0.0391400i
\(517\) 15.9360 19.9831i 0.700863 0.878854i
\(518\) −2.20667 0.735370i −0.0969556 0.0323103i
\(519\) −0.739888 0.927790i −0.0324775 0.0407254i
\(520\) −1.59734 2.76667i −0.0700480 0.121327i
\(521\) 10.6379 18.4254i 0.466055 0.807231i −0.533193 0.845993i \(-0.679008\pi\)
0.999248 + 0.0387625i \(0.0123416\pi\)
\(522\) 5.90589 0.890170i 0.258494 0.0389617i
\(523\) 6.48945 6.02133i 0.283764 0.263294i −0.525429 0.850837i \(-0.676095\pi\)
0.809193 + 0.587543i \(0.199905\pi\)
\(524\) −16.0916 7.74928i −0.702963 0.338529i
\(525\) −1.75317 3.20060i −0.0765146 0.139686i
\(526\) −50.4549 + 24.2978i −2.19994 + 1.05943i
\(527\) −16.3510 + 41.6616i −0.712260 + 1.81481i
\(528\) 0.552821 7.37689i 0.0240585 0.321038i
\(529\) −20.5747 6.34645i −0.894552 0.275933i
\(530\) −1.42811 19.0568i −0.0620332 0.827776i
\(531\) 0.709968 3.11057i 0.0308100 0.134987i
\(532\) 41.4066 + 0.930758i 1.79520 + 0.0403535i
\(533\) −2.35981 10.3390i −0.102215 0.447833i
\(534\) −29.2735 + 9.02968i −1.26679 + 0.390752i
\(535\) −4.96140 12.6415i −0.214500 0.546538i
\(536\) −7.93499 7.36259i −0.342739 0.318015i
\(537\) −38.5672 26.2947i −1.66430 1.13470i
\(538\) −22.7997 −0.982966
\(539\) 12.9071 + 4.62605i 0.555947 + 0.199258i
\(540\) 27.1025 1.16631
\(541\) 5.62518 + 3.83518i 0.241845 + 0.164887i 0.678177 0.734899i \(-0.262770\pi\)
−0.436332 + 0.899786i \(0.643723\pi\)
\(542\) 41.5647 + 38.5664i 1.78535 + 1.65657i
\(543\) 7.81668 + 19.9166i 0.335446 + 0.854702i
\(544\) −30.2716 + 9.33755i −1.29788 + 0.400344i
\(545\) 0.383946 + 1.68218i 0.0164464 + 0.0720565i
\(546\) 2.57089 10.2014i 0.110024 0.436578i
\(547\) 7.63449 33.4489i 0.326427 1.43017i −0.499461 0.866337i \(-0.666469\pi\)
0.825888 0.563834i \(-0.190674\pi\)
\(548\) −2.15861 28.8046i −0.0922112 1.23047i
\(549\) −1.99239 0.614571i −0.0850332 0.0262293i
\(550\) 0.239353 3.19395i 0.0102061 0.136190i
\(551\) 16.3725 41.7165i 0.697493 1.77718i
\(552\) 3.09999 1.49288i 0.131944 0.0635410i
\(553\) 12.3620 29.5289i 0.525688 1.25570i
\(554\) −2.82314 1.35955i −0.119944 0.0577618i
\(555\) 1.12025 1.03944i 0.0475520 0.0441218i
\(556\) −24.0216 + 3.62068i −1.01874 + 0.153551i
\(557\) 5.99680 10.3868i 0.254092 0.440101i −0.710556 0.703640i \(-0.751557\pi\)
0.964649 + 0.263539i \(0.0848899\pi\)
\(558\) 4.11487 + 7.12716i 0.174196 + 0.301717i
\(559\) 0.748292 + 0.938328i 0.0316494 + 0.0396871i
\(560\) 11.1531 1.42552i 0.471304 0.0602394i
\(561\) 9.35003 11.7246i 0.394759 0.495012i
\(562\) −6.68988 1.00834i −0.282196 0.0425341i
\(563\) 15.5954 10.6328i 0.657269 0.448118i −0.188209 0.982129i \(-0.560268\pi\)
0.845478 + 0.534011i \(0.179316\pi\)
\(564\) −53.5892 + 36.5365i −2.25651 + 1.53846i
\(565\) 24.9522 + 3.76095i 1.04975 + 0.158224i
\(566\) −2.98783 + 3.74661i −0.125588 + 0.157482i
\(567\) 18.8655 + 18.3106i 0.792274 + 0.768971i
\(568\) −3.53538 4.43322i −0.148341 0.186014i
\(569\) −1.18125 2.04599i −0.0495206 0.0857722i 0.840203 0.542273i \(-0.182436\pi\)
−0.889723 + 0.456500i \(0.849103\pi\)
\(570\) −23.6322 + 40.9322i −0.989844 + 1.71446i
\(571\) −12.9009 + 1.94449i −0.539885 + 0.0813746i −0.413324 0.910584i \(-0.635632\pi\)
−0.126561 + 0.991959i \(0.540394\pi\)
\(572\) 3.89688 3.61578i 0.162937 0.151183i
\(573\) −3.83342 1.84608i −0.160143 0.0771209i
\(574\) −60.0190 10.4309i −2.50515 0.435377i
\(575\) −0.822352 + 0.396024i −0.0342945 + 0.0165153i
\(576\) −1.59469 + 4.06321i −0.0664455 + 0.169300i
\(577\) −1.26183 + 16.8380i −0.0525308 + 0.700975i 0.907316 + 0.420450i \(0.138128\pi\)
−0.959847 + 0.280525i \(0.909491\pi\)
\(578\) −0.988360 0.304869i −0.0411104 0.0126809i
\(579\) −0.357392 4.76906i −0.0148527 0.198195i
\(580\) −9.66968 + 42.3656i −0.401511 + 1.75914i
\(581\) −5.07718 24.8012i −0.210637 1.02893i
\(582\) −0.684981 3.00110i −0.0283934 0.124400i
\(583\) 7.99419 2.46588i 0.331086 0.102126i
\(584\) −0.0283154 0.0721465i −0.00117170 0.00298544i
\(585\) 0.534860 + 0.496277i 0.0221137 + 0.0205185i
\(586\) 45.6518 + 31.1248i 1.88586 + 1.28576i
\(587\) 21.2659 0.877739 0.438869 0.898551i \(-0.355379\pi\)
0.438869 + 0.898551i \(0.355379\pi\)
\(588\) −27.8377 20.8716i −1.14801 0.860730i
\(589\) 61.7504 2.54438
\(590\) 33.3143 + 22.7133i 1.37153 + 0.935092i
\(591\) −25.2978 23.4729i −1.04061 0.965548i
\(592\) −0.305064 0.777292i −0.0125381 0.0319465i
\(593\) 12.5824 3.88115i 0.516696 0.159380i −0.0254302 0.999677i \(-0.508096\pi\)
0.542127 + 0.840297i \(0.317619\pi\)
\(594\) 4.58569 + 20.0912i 0.188153 + 0.824352i
\(595\) 20.3087 + 10.3487i 0.832575 + 0.424255i
\(596\) −2.14254 + 9.38707i −0.0877617 + 0.384509i
\(597\) 1.42129 + 18.9659i 0.0581697 + 0.776221i
\(598\) −2.51438 0.775583i −0.102821 0.0317159i
\(599\) −0.276807 + 3.69374i −0.0113100 + 0.150922i 0.988690 + 0.149977i \(0.0479199\pi\)
−1.00000 0.000945177i \(0.999699\pi\)
\(600\) −0.781184 + 1.99042i −0.0318917 + 0.0812587i
\(601\) −20.3785 + 9.81375i −0.831255 + 0.400311i −0.800586 0.599218i \(-0.795478\pi\)
−0.0306690 + 0.999530i \(0.509764\pi\)
\(602\) 6.63194 1.88355i 0.270298 0.0767676i
\(603\) 2.22741 + 1.07266i 0.0907070 + 0.0436822i
\(604\) 14.1812 13.1582i 0.577025 0.535401i
\(605\) 14.5974 2.20021i 0.593469 0.0894511i
\(606\) 32.3551 56.0407i 1.31434 2.27650i
\(607\) 1.45824 + 2.52574i 0.0591879 + 0.102517i 0.894101 0.447865i \(-0.147816\pi\)
−0.834913 + 0.550382i \(0.814482\pi\)
\(608\) 27.2518 + 34.1727i 1.10521 + 1.38588i
\(609\) −31.5742 + 20.5030i −1.27945 + 0.830823i
\(610\) 16.4285 20.6007i 0.665170 0.834097i
\(611\) 12.9032 + 1.94485i 0.522009 + 0.0786801i
\(612\) −3.31904 + 2.26288i −0.134164 + 0.0914717i
\(613\) −9.79850 + 6.68051i −0.395758 + 0.269823i −0.744805 0.667282i \(-0.767458\pi\)
0.349047 + 0.937105i \(0.386505\pi\)
\(614\) 36.4511 + 5.49411i 1.47105 + 0.221724i
\(615\) 24.9549 31.2924i 1.00628 1.26183i
\(616\) −2.76623 7.54242i −0.111455 0.303893i
\(617\) −23.9963 30.0905i −0.966056 1.21140i −0.977387 0.211460i \(-0.932178\pi\)
0.0113306 0.999936i \(-0.496393\pi\)
\(618\) 27.9489 + 48.4089i 1.12427 + 1.94729i
\(619\) −2.28285 + 3.95402i −0.0917556 + 0.158925i −0.908250 0.418428i \(-0.862581\pi\)
0.816494 + 0.577353i \(0.195915\pi\)
\(620\) −59.2087 + 8.92428i −2.37788 + 0.358408i
\(621\) 4.30499 3.99445i 0.172753 0.160292i
\(622\) 56.6494 + 27.2809i 2.27143 + 1.09386i
\(623\) 15.2500 13.5250i 0.610978 0.541870i
\(624\) 3.40272 1.63866i 0.136218 0.0655991i
\(625\) −7.55053 + 19.2384i −0.302021 + 0.769537i
\(626\) 2.17152 28.9769i 0.0867912 1.15815i
\(627\) −19.7716 6.09873i −0.789602 0.243560i
\(628\) −3.25151 43.3884i −0.129749 1.73139i
\(629\) 0.376668 1.65029i 0.0150187 0.0658013i
\(630\) 3.81615 1.73322i 0.152039 0.0690530i
\(631\) 3.41378 + 14.9567i 0.135900 + 0.595419i 0.996311 + 0.0858171i \(0.0273501\pi\)
−0.860410 + 0.509602i \(0.829793\pi\)
\(632\) −17.9235 + 5.52866i −0.712957 + 0.219918i
\(633\) −3.23501 8.24267i −0.128580 0.327617i
\(634\) 4.12544 + 3.82785i 0.163842 + 0.152023i
\(635\) −23.5772 16.0747i −0.935632 0.637903i
\(636\) −21.2292 −0.841792
\(637\) 1.24942 + 6.88759i 0.0495038 + 0.272896i
\(638\) −33.0419 −1.30814
\(639\) 1.07002 + 0.729524i 0.0423292 + 0.0288595i
\(640\) −17.5410 16.2757i −0.693371 0.643354i
\(641\) −4.07464 10.3820i −0.160939 0.410065i 0.827544 0.561402i \(-0.189738\pi\)
−0.988482 + 0.151336i \(0.951642\pi\)
\(642\) −25.0389 + 7.72349i −0.988208 + 0.304822i
\(643\) 8.45017 + 37.0226i 0.333242 + 1.46003i 0.812812 + 0.582526i \(0.197936\pi\)
−0.479570 + 0.877504i \(0.659207\pi\)
\(644\) −5.57728 + 6.68003i −0.219776 + 0.263230i
\(645\) −1.00793 + 4.41604i −0.0396873 + 0.173881i
\(646\) 3.91234 + 52.2065i 0.153929 + 2.05404i
\(647\) 31.6552 + 9.76432i 1.24449 + 0.383875i 0.845944 0.533272i \(-0.179038\pi\)
0.398549 + 0.917147i \(0.369514\pi\)
\(648\) 1.15116 15.3612i 0.0452218 0.603444i
\(649\) −6.44863 + 16.4308i −0.253131 + 0.644967i
\(650\) 1.47327 0.709487i 0.0577862 0.0278284i
\(651\) −42.1932 30.1778i −1.65368 1.18276i
\(652\) −57.9754 27.9195i −2.27049 1.09341i
\(653\) −18.3249 + 17.0030i −0.717110 + 0.665381i −0.951810 0.306687i \(-0.900780\pi\)
0.234701 + 0.972068i \(0.424589\pi\)
\(654\) 3.29205 0.496197i 0.128730 0.0194029i
\(655\) −6.78082 + 11.7447i −0.264949 + 0.458904i
\(656\) −10.9347 18.9395i −0.426930 0.739464i
\(657\) 0.0110365 + 0.0138394i 0.000430576 + 0.000539925i
\(658\) 38.9286 64.0572i 1.51759 2.49721i
\(659\) 12.2377 15.3455i 0.476711 0.597777i −0.484089 0.875019i \(-0.660849\pi\)
0.960800 + 0.277242i \(0.0894203\pi\)
\(660\) 19.8392 + 2.99027i 0.772239 + 0.116396i
\(661\) 6.41406 4.37303i 0.249478 0.170091i −0.432124 0.901814i \(-0.642236\pi\)
0.681602 + 0.731723i \(0.261283\pi\)
\(662\) 52.9923 36.1295i 2.05960 1.40421i
\(663\) 7.57065 + 1.14109i 0.294020 + 0.0443163i
\(664\) −9.24829 + 11.5970i −0.358903 + 0.450051i
\(665\) 3.05434 31.3001i 0.118442 1.21376i
\(666\) −0.194070 0.243356i −0.00752004 0.00942983i
\(667\) 4.70803 + 8.15455i 0.182296 + 0.315745i
\(668\) −7.20840 + 12.4853i −0.278901 + 0.483071i
\(669\) 24.2436 3.65414i 0.937313 0.141277i
\(670\) −22.9024 + 21.2504i −0.884798 + 0.820973i
\(671\) 10.3925 + 5.00479i 0.401200 + 0.193208i
\(672\) −1.92040 36.6678i −0.0740810 1.41449i
\(673\) −28.4937 + 13.7219i −1.09835 + 0.528939i −0.893140 0.449778i \(-0.851503\pi\)
−0.205213 + 0.978717i \(0.565789\pi\)
\(674\) 9.98000 25.4286i 0.384415 0.979474i
\(675\) −0.272733 + 3.63937i −0.0104975 + 0.140079i
\(676\) 2.59342 + 0.799966i 0.0997471 + 0.0307679i
\(677\) −1.30273 17.3837i −0.0500680 0.668111i −0.964620 0.263643i \(-0.915076\pi\)
0.914552 0.404468i \(-0.132543\pi\)
\(678\) 10.8344 47.4686i 0.416092 1.82302i
\(679\) 1.24073 + 1.62966i 0.0476150 + 0.0625405i
\(680\) −2.97183 13.0204i −0.113964 0.499311i
\(681\) 49.6602 15.3181i 1.90298 0.586993i
\(682\) −16.6336 42.3817i −0.636933 1.62288i
\(683\) 26.4450 + 24.5374i 1.01189 + 0.938896i 0.998137 0.0610095i \(-0.0194320\pi\)
0.0137520 + 0.999905i \(0.495622\pi\)
\(684\) 4.57938 + 3.12217i 0.175097 + 0.119379i
\(685\) −21.9332 −0.838025
\(686\) 39.2675 + 8.65834i 1.49924 + 0.330577i
\(687\) −18.9314 −0.722277
\(688\) 2.04493 + 1.39421i 0.0779623 + 0.0531538i
\(689\) 3.13093 + 2.90508i 0.119279 + 0.110675i
\(690\) −3.62814 9.24435i −0.138121 0.351927i
\(691\) −15.5646 + 4.80105i −0.592107 + 0.182641i −0.576305 0.817234i \(-0.695506\pi\)
−0.0158012 + 0.999875i \(0.505030\pi\)
\(692\) −0.391320 1.71448i −0.0148758 0.0651749i
\(693\) 1.11146 + 1.45987i 0.0422210 + 0.0554557i
\(694\) −1.41521 + 6.20044i −0.0537206 + 0.235366i
\(695\) 1.37848 + 18.3945i 0.0522886 + 0.697743i
\(696\) 21.0785 + 6.50185i 0.798978 + 0.246452i
\(697\) 3.31305 44.2096i 0.125491 1.67456i
\(698\) −11.7907 + 30.0421i −0.446283 + 1.13711i
\(699\) −0.653733 + 0.314821i −0.0247265 + 0.0119076i
\(700\) −0.282844 5.40058i −0.0106905 0.204123i
\(701\) −40.9822 19.7360i −1.54788 0.745419i −0.551806 0.833972i \(-0.686061\pi\)
−0.996071 + 0.0885538i \(0.971775\pi\)
\(702\) −7.71250 + 7.15616i −0.291090 + 0.270092i
\(703\) −2.30943 + 0.348090i −0.0871017 + 0.0131285i
\(704\) 12.0740 20.9127i 0.455055 0.788178i
\(705\) 24.6244 + 42.6507i 0.927408 + 1.60632i
\(706\) −1.88904 2.36879i −0.0710951 0.0891504i
\(707\) −4.18173 + 42.8533i −0.157270 + 1.61166i
\(708\) 27.9268 35.0191i 1.04955 1.31610i
\(709\) −12.9752 1.95569i −0.487292 0.0734475i −0.0991989 0.995068i \(-0.531628\pi\)
−0.388093 + 0.921620i \(0.626866\pi\)
\(710\) −13.5222 + 9.21928i −0.507479 + 0.345993i
\(711\) 3.53950 2.41319i 0.132742 0.0905017i
\(712\) −11.8099 1.78006i −0.442595 0.0667104i
\(713\) −8.08949 + 10.1439i −0.302954 + 0.379892i
\(714\) 22.8404 37.5840i 0.854779 1.40654i
\(715\) −2.51673 3.15587i −0.0941202 0.118023i
\(716\) −34.5865 59.9057i −1.29256 2.23878i
\(717\) −2.48861 + 4.31040i −0.0929389 + 0.160975i
\(718\) −3.25139 + 0.490068i −0.121341 + 0.0182892i
\(719\) −0.789396 + 0.732452i −0.0294395 + 0.0273159i −0.694755 0.719246i \(-0.744487\pi\)
0.665316 + 0.746562i \(0.268297\pi\)
\(720\) 1.35565 + 0.652845i 0.0505220 + 0.0243301i
\(721\) −30.2519 21.6370i −1.12664 0.805804i
\(722\) 27.9126 13.4420i 1.03880 0.500259i
\(723\) 14.3124 36.4673i 0.532282 1.35623i
\(724\) −2.36943 + 31.6179i −0.0880592 + 1.17507i
\(725\) −5.59162 1.72479i −0.207667 0.0640569i
\(726\) −2.12861 28.4043i −0.0790000 1.05418i
\(727\) 9.78794 42.8838i 0.363015 1.59047i −0.382482 0.923963i \(-0.624931\pi\)
0.745497 0.666509i \(-0.232212\pi\)
\(728\) 2.62866 3.14840i 0.0974245 0.116687i
\(729\) −5.14151 22.5264i −0.190426 0.834313i
\(730\) −0.213759 + 0.0659358i −0.00791157 + 0.00244039i
\(731\) 1.83301 + 4.67044i 0.0677965 + 0.172743i
\(732\) −21.4570 19.9092i −0.793074 0.735865i
\(733\) 27.8975 + 19.0202i 1.03042 + 0.702527i 0.955599 0.294671i \(-0.0952099\pi\)
0.0748183 + 0.997197i \(0.476162\pi\)
\(734\) 1.92892 0.0711979
\(735\) −17.3835 + 19.8942i −0.641200 + 0.733809i
\(736\) −9.18369 −0.338515
\(737\) −11.3005 7.70453i −0.416258 0.283800i
\(738\) −5.97596 5.54488i −0.219978 0.204110i
\(739\) −5.17424 13.1837i −0.190337 0.484972i 0.803567 0.595214i \(-0.202933\pi\)
−0.993905 + 0.110242i \(0.964837\pi\)
\(740\) 2.16406 0.667524i 0.0795524 0.0245387i
\(741\) −2.35059 10.2986i −0.0863510 0.378328i
\(742\) 22.3387 10.1458i 0.820080 0.372464i
\(743\) 0.448761 1.96615i 0.0164634 0.0721311i −0.966029 0.258434i \(-0.916793\pi\)
0.982492 + 0.186303i \(0.0596506\pi\)
\(744\) 2.27140 + 30.3097i 0.0832736 + 1.11121i
\(745\) 6.98627 + 2.15498i 0.255957 + 0.0789523i
\(746\) −1.65259 + 22.0522i −0.0605055 + 0.807390i
\(747\) 1.23768 3.15356i 0.0452844 0.115383i
\(748\) 20.0225 9.64232i 0.732095 0.352558i
\(749\) 13.0440 11.5686i 0.476618 0.422707i
\(750\) 42.4745 + 20.4547i 1.55095 + 0.746899i
\(751\) −32.8740 + 30.5026i −1.19959 + 1.11305i −0.208754 + 0.977968i \(0.566941\pi\)
−0.990834 + 0.135087i \(0.956869\pi\)
\(752\) 26.6091 4.01067i 0.970333 0.146254i
\(753\) −19.3519 + 33.5185i −0.705224 + 1.22148i
\(754\) −8.43455 14.6091i −0.307168 0.532031i
\(755\) −9.15866 11.4846i −0.333318 0.417967i
\(756\) 11.9812 + 32.6678i 0.435751 + 1.18812i
\(757\) 19.5100 24.4648i 0.709103 0.889186i −0.288564 0.957461i \(-0.593178\pi\)
0.997667 + 0.0682741i \(0.0217492\pi\)
\(758\) −44.2725 6.67301i −1.60805 0.242375i
\(759\) 3.59199 2.44898i 0.130381 0.0888923i
\(760\) −15.2248 + 10.3801i −0.552263 + 0.376527i
\(761\) −15.4558 2.32959i −0.560273 0.0844475i −0.137200 0.990543i \(-0.543810\pi\)
−0.423072 + 0.906096i \(0.639048\pi\)
\(762\) −34.3291 + 43.0473i −1.24361 + 1.55944i
\(763\) −1.85787 + 1.20642i −0.0672594 + 0.0436754i
\(764\) −3.93125 4.92963i −0.142228 0.178348i
\(765\) 1.52511 + 2.64157i 0.0551405 + 0.0955061i
\(766\) 2.19534 3.80244i 0.0793208 0.137388i
\(767\) −8.91084 + 1.34309i −0.321752 + 0.0484963i
\(768\) −0.743325 + 0.689705i −0.0268224 + 0.0248876i
\(769\) 43.2001 + 20.8041i 1.55784 + 0.750214i 0.996977 0.0776974i \(-0.0247568\pi\)
0.560859 + 0.827912i \(0.310471\pi\)
\(770\) −22.3052 + 6.33492i −0.803822 + 0.228295i
\(771\) 48.4308 23.3230i 1.74419 0.839959i
\(772\) 2.58924 6.59727i 0.0931887 0.237441i
\(773\) 0.870644 11.6179i 0.0313149 0.417868i −0.959413