Properties

Label 483.2.r.a.181.17
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.17
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0271614 + 0.188911i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(1.88404 - 0.553203i) q^{4} +(1.98963 - 2.29616i) q^{5} +(0.0537698 - 0.183123i) q^{6} +(-2.47239 - 0.941954i) q^{7} +(0.314247 + 0.688104i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.0271614 + 0.188911i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(1.88404 - 0.553203i) q^{4} +(1.98963 - 2.29616i) q^{5} +(0.0537698 - 0.183123i) q^{6} +(-2.47239 - 0.941954i) q^{7} +(0.314247 + 0.688104i) q^{8} +(0.654861 + 0.755750i) q^{9} +(0.487811 + 0.313497i) q^{10} +(3.07921 + 0.442724i) q^{11} +(-1.94359 - 0.279446i) q^{12} +(1.29479 - 2.01474i) q^{13} +(0.110792 - 0.492648i) q^{14} +(-2.76369 + 1.26213i) q^{15} +(3.18227 - 2.04512i) q^{16} +(-6.24490 - 1.83367i) q^{17} +(-0.124983 + 0.144238i) q^{18} +(-1.82387 + 0.535536i) q^{19} +(2.47830 - 5.42671i) q^{20} +(1.85767 + 1.88390i) q^{21} +0.593724i q^{22} +(-0.644774 + 4.75229i) q^{23} -0.756464i q^{24} +(-0.602129 - 4.18790i) q^{25} +(0.415776 + 0.189878i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-5.17917 - 0.406941i) q^{28} +(-5.49276 - 1.61282i) q^{29} +(-0.313497 - 0.487811i) q^{30} +(7.97823 - 3.64354i) q^{31} +(1.46354 + 1.68901i) q^{32} +(-2.61704 - 1.68187i) q^{33} +(0.176781 - 1.22954i) q^{34} +(-7.08202 + 3.80286i) q^{35} +(1.65186 + 1.06159i) q^{36} +(6.32267 - 5.47863i) q^{37} +(-0.150708 - 0.330003i) q^{38} +(-2.01474 + 1.29479i) q^{39} +(2.20523 + 0.647514i) q^{40} +(4.97801 + 4.31347i) q^{41} +(-0.305434 + 0.402103i) q^{42} +(-2.26776 - 1.03565i) q^{43} +(6.04627 - 0.869322i) q^{44} +3.03825 q^{45} +(-0.915275 + 0.00727351i) q^{46} +4.70188i q^{47} +(-3.74427 + 0.538345i) q^{48} +(5.22544 + 4.65776i) q^{49} +(0.774787 - 0.227498i) q^{50} +(4.91883 + 4.26219i) q^{51} +(1.32488 - 4.51212i) q^{52} +(-4.94290 - 7.69131i) q^{53} +(0.173607 - 0.0792836i) q^{54} +(7.14306 - 6.18950i) q^{55} +(-0.128778 - 1.99727i) q^{56} +(1.88152 + 0.270521i) q^{57} +(0.155489 - 1.08145i) q^{58} +(-1.62895 + 2.53469i) q^{59} +(-4.50867 + 3.90679i) q^{60} +(0.0813133 + 0.178051i) q^{61} +(0.905006 + 1.40822i) q^{62} +(-0.907191 - 2.48536i) q^{63} +(4.67506 - 5.39531i) q^{64} +(-2.04999 - 6.98164i) q^{65} +(0.246642 - 0.540070i) q^{66} +(12.0444 - 1.73172i) q^{67} -12.7800 q^{68} +(2.56068 - 4.05499i) q^{69} +(-0.910761 - 1.23458i) q^{70} +(1.06927 + 7.43690i) q^{71} +(-0.314247 + 0.688104i) q^{72} +(0.328156 + 1.11760i) q^{73} +(1.20671 + 1.04562i) q^{74} +(-1.19200 + 4.05958i) q^{75} +(-3.13997 + 2.01794i) q^{76} +(-7.19600 - 3.99506i) q^{77} +(-0.299324 - 0.345439i) q^{78} +(-8.23775 + 12.8182i) q^{79} +(1.63563 - 11.3760i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-0.679654 + 1.05756i) q^{82} +(7.53178 + 8.69214i) q^{83} +(4.54209 + 2.52167i) q^{84} +(-16.6354 + 10.6909i) q^{85} +(0.134051 - 0.456536i) q^{86} +(4.32640 + 3.74885i) q^{87} +(0.662992 + 2.25794i) q^{88} +(-2.14463 + 4.69608i) q^{89} +(0.0825230 + 0.573960i) q^{90} +(-5.09903 + 3.76159i) q^{91} +(1.41420 + 9.31018i) q^{92} -8.77084 q^{93} +(-0.888240 + 0.127710i) q^{94} +(-2.39915 + 5.25340i) q^{95} +(-0.629640 - 2.14436i) q^{96} +(-8.54184 + 9.85781i) q^{97} +(-0.737974 + 1.11366i) q^{98} +(1.68187 + 2.61704i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0271614 + 0.188911i 0.0192060 + 0.133581i 0.997168 0.0752002i \(-0.0239596\pi\)
−0.977962 + 0.208781i \(0.933050\pi\)
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) 1.88404 0.553203i 0.942018 0.276601i
\(5\) 1.98963 2.29616i 0.889790 1.02687i −0.109669 0.993968i \(-0.534979\pi\)
0.999459 0.0329041i \(-0.0104756\pi\)
\(6\) 0.0537698 0.183123i 0.0219514 0.0747597i
\(7\) −2.47239 0.941954i −0.934476 0.356025i
\(8\) 0.314247 + 0.688104i 0.111103 + 0.243282i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 0.487811 + 0.313497i 0.154259 + 0.0991365i
\(11\) 3.07921 + 0.442724i 0.928418 + 0.133486i 0.589902 0.807475i \(-0.299166\pi\)
0.338515 + 0.940961i \(0.390075\pi\)
\(12\) −1.94359 0.279446i −0.561066 0.0806691i
\(13\) 1.29479 2.01474i 0.359111 0.558788i −0.613947 0.789347i \(-0.710419\pi\)
0.973058 + 0.230559i \(0.0740555\pi\)
\(14\) 0.110792 0.492648i 0.0296105 0.131666i
\(15\) −2.76369 + 1.26213i −0.713582 + 0.325882i
\(16\) 3.18227 2.04512i 0.795568 0.511281i
\(17\) −6.24490 1.83367i −1.51461 0.444730i −0.584311 0.811530i \(-0.698635\pi\)
−0.930300 + 0.366800i \(0.880453\pi\)
\(18\) −0.124983 + 0.144238i −0.0294587 + 0.0339972i
\(19\) −1.82387 + 0.535536i −0.418424 + 0.122860i −0.484166 0.874976i \(-0.660877\pi\)
0.0657418 + 0.997837i \(0.479059\pi\)
\(20\) 2.47830 5.42671i 0.554164 1.21345i
\(21\) 1.85767 + 1.88390i 0.405376 + 0.411101i
\(22\) 0.593724i 0.126582i
\(23\) −0.644774 + 4.75229i −0.134445 + 0.990921i
\(24\) 0.756464i 0.154413i
\(25\) −0.602129 4.18790i −0.120426 0.837580i
\(26\) 0.415776 + 0.189878i 0.0815403 + 0.0372382i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −5.17917 0.406941i −0.978771 0.0769047i
\(29\) −5.49276 1.61282i −1.01998 0.299493i −0.271350 0.962481i \(-0.587470\pi\)
−0.748631 + 0.662987i \(0.769288\pi\)
\(30\) −0.313497 0.487811i −0.0572365 0.0890617i
\(31\) 7.97823 3.64354i 1.43293 0.654399i 0.460517 0.887651i \(-0.347664\pi\)
0.972416 + 0.233252i \(0.0749368\pi\)
\(32\) 1.46354 + 1.68901i 0.258720 + 0.298578i
\(33\) −2.61704 1.68187i −0.455568 0.292776i
\(34\) 0.176781 1.22954i 0.0303177 0.210864i
\(35\) −7.08202 + 3.80286i −1.19708 + 0.642800i
\(36\) 1.65186 + 1.06159i 0.275311 + 0.176931i
\(37\) 6.32267 5.47863i 1.03944 0.900681i 0.0442878 0.999019i \(-0.485898\pi\)
0.995153 + 0.0983382i \(0.0313527\pi\)
\(38\) −0.150708 0.330003i −0.0244480 0.0535336i
\(39\) −2.01474 + 1.29479i −0.322616 + 0.207333i
\(40\) 2.20523 + 0.647514i 0.348677 + 0.102381i
\(41\) 4.97801 + 4.31347i 0.777434 + 0.673650i 0.950314 0.311292i \(-0.100762\pi\)
−0.172880 + 0.984943i \(0.555307\pi\)
\(42\) −0.305434 + 0.402103i −0.0471294 + 0.0620459i
\(43\) −2.26776 1.03565i −0.345831 0.157936i 0.234925 0.972014i \(-0.424516\pi\)
−0.580756 + 0.814078i \(0.697243\pi\)
\(44\) 6.04627 0.869322i 0.911509 0.131055i
\(45\) 3.03825 0.452916
\(46\) −0.915275 + 0.00727351i −0.134950 + 0.00107242i
\(47\) 4.70188i 0.685840i 0.939365 + 0.342920i \(0.111416\pi\)
−0.939365 + 0.342920i \(0.888584\pi\)
\(48\) −3.74427 + 0.538345i −0.540439 + 0.0777034i
\(49\) 5.22544 + 4.65776i 0.746492 + 0.665394i
\(50\) 0.774787 0.227498i 0.109571 0.0321731i
\(51\) 4.91883 + 4.26219i 0.688773 + 0.596826i
\(52\) 1.32488 4.51212i 0.183728 0.625719i
\(53\) −4.94290 7.69131i −0.678960 1.05648i −0.994208 0.107473i \(-0.965724\pi\)
0.315248 0.949009i \(-0.397912\pi\)
\(54\) 0.173607 0.0792836i 0.0236249 0.0107891i
\(55\) 7.14306 6.18950i 0.963170 0.834592i
\(56\) −0.128778 1.99727i −0.0172087 0.266896i
\(57\) 1.88152 + 0.270521i 0.249213 + 0.0358314i
\(58\) 0.155489 1.08145i 0.0204168 0.142002i
\(59\) −1.62895 + 2.53469i −0.212071 + 0.329989i −0.930950 0.365146i \(-0.881019\pi\)
0.718879 + 0.695135i \(0.244655\pi\)
\(60\) −4.50867 + 3.90679i −0.582067 + 0.504364i
\(61\) 0.0813133 + 0.178051i 0.0104111 + 0.0227971i 0.914766 0.403984i \(-0.132375\pi\)
−0.904355 + 0.426781i \(0.859648\pi\)
\(62\) 0.905006 + 1.40822i 0.114936 + 0.178844i
\(63\) −0.907191 2.48536i −0.114295 0.313126i
\(64\) 4.67506 5.39531i 0.584382 0.674413i
\(65\) −2.04999 6.98164i −0.254270 0.865965i
\(66\) 0.246642 0.540070i 0.0303595 0.0664780i
\(67\) 12.0444 1.73172i 1.47146 0.211563i 0.640524 0.767938i \(-0.278717\pi\)
0.830932 + 0.556374i \(0.187808\pi\)
\(68\) −12.7800 −1.54980
\(69\) 2.56068 4.05499i 0.308270 0.488163i
\(70\) −0.910761 1.23458i −0.108857 0.147561i
\(71\) 1.06927 + 7.43690i 0.126898 + 0.882598i 0.949452 + 0.313911i \(0.101639\pi\)
−0.822554 + 0.568687i \(0.807452\pi\)
\(72\) −0.314247 + 0.688104i −0.0370343 + 0.0810938i
\(73\) 0.328156 + 1.11760i 0.0384077 + 0.130805i 0.976465 0.215675i \(-0.0691952\pi\)
−0.938057 + 0.346480i \(0.887377\pi\)
\(74\) 1.20671 + 1.04562i 0.140277 + 0.121551i
\(75\) −1.19200 + 4.05958i −0.137640 + 0.468760i
\(76\) −3.13997 + 2.01794i −0.360179 + 0.231473i
\(77\) −7.19600 3.99506i −0.820060 0.455280i
\(78\) −0.299324 0.345439i −0.0338918 0.0391132i
\(79\) −8.23775 + 12.8182i −0.926819 + 1.44216i −0.0301065 + 0.999547i \(0.509585\pi\)
−0.896713 + 0.442613i \(0.854052\pi\)
\(80\) 1.63563 11.3760i 0.182869 1.27188i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −0.679654 + 1.05756i −0.0750552 + 0.116788i
\(83\) 7.53178 + 8.69214i 0.826721 + 0.954087i 0.999523 0.0308699i \(-0.00982776\pi\)
−0.172803 + 0.984956i \(0.555282\pi\)
\(84\) 4.54209 + 2.52167i 0.495582 + 0.275137i
\(85\) −16.6354 + 10.6909i −1.80437 + 1.15960i
\(86\) 0.134051 0.456536i 0.0144551 0.0492296i
\(87\) 4.32640 + 3.74885i 0.463839 + 0.401919i
\(88\) 0.662992 + 2.25794i 0.0706752 + 0.240698i
\(89\) −2.14463 + 4.69608i −0.227330 + 0.497784i −0.988584 0.150670i \(-0.951857\pi\)
0.761254 + 0.648454i \(0.224584\pi\)
\(90\) 0.0825230 + 0.573960i 0.00869869 + 0.0605007i
\(91\) −5.09903 + 3.76159i −0.534524 + 0.394322i
\(92\) 1.41420 + 9.31018i 0.147441 + 0.970653i
\(93\) −8.77084 −0.909494
\(94\) −0.888240 + 0.127710i −0.0916149 + 0.0131722i
\(95\) −2.39915 + 5.25340i −0.246147 + 0.538988i
\(96\) −0.629640 2.14436i −0.0642624 0.218858i
\(97\) −8.54184 + 9.85781i −0.867293 + 1.00091i 0.132660 + 0.991162i \(0.457648\pi\)
−0.999952 + 0.00974770i \(0.996897\pi\)
\(98\) −0.737974 + 1.11366i −0.0745466 + 0.112496i
\(99\) 1.68187 + 2.61704i 0.169034 + 0.263022i
\(100\) −3.45119 7.55705i −0.345119 0.755705i
\(101\) 6.94547 6.01829i 0.691101 0.598842i −0.236850 0.971546i \(-0.576115\pi\)
0.927950 + 0.372704i \(0.121569\pi\)
\(102\) −0.671574 + 1.04499i −0.0664957 + 0.103469i
\(103\) −2.44672 + 17.0173i −0.241082 + 1.67676i 0.405636 + 0.914035i \(0.367050\pi\)
−0.646718 + 0.762729i \(0.723859\pi\)
\(104\) 1.79323 + 0.257828i 0.175841 + 0.0252821i
\(105\) 8.02180 0.517223i 0.782847 0.0504758i
\(106\) 1.31872 1.14268i 0.128085 0.110987i
\(107\) −17.1449 + 7.82982i −1.65746 + 0.756937i −0.657468 + 0.753483i \(0.728372\pi\)
−0.999994 + 0.00345449i \(0.998900\pi\)
\(108\) −1.06159 1.65186i −0.102151 0.158951i
\(109\) 3.78640 12.8953i 0.362671 1.23514i −0.552989 0.833189i \(-0.686513\pi\)
0.915659 0.401955i \(-0.131669\pi\)
\(110\) 1.36328 + 1.18129i 0.129984 + 0.112632i
\(111\) −8.02721 + 2.35700i −0.761909 + 0.223717i
\(112\) −9.79424 + 2.05879i −0.925469 + 0.194537i
\(113\) 1.56418 0.224895i 0.147146 0.0211564i −0.0683483 0.997662i \(-0.521773\pi\)
0.215494 + 0.976505i \(0.430864\pi\)
\(114\) 0.362788i 0.0339782i
\(115\) 9.62914 + 10.9358i 0.897922 + 1.01977i
\(116\) −11.2408 −1.04368
\(117\) 2.37055 0.340833i 0.219157 0.0315100i
\(118\) −0.523077 0.238881i −0.0481531 0.0219908i
\(119\) 13.7126 + 10.4160i 1.25703 + 0.954829i
\(120\) −1.73696 1.50508i −0.158562 0.137395i
\(121\) −1.26887 0.372575i −0.115352 0.0338704i
\(122\) −0.0314274 + 0.0201971i −0.00284530 + 0.00182856i
\(123\) −2.73627 5.99161i −0.246722 0.540245i
\(124\) 13.0157 11.2781i 1.16884 1.01281i
\(125\) 1.96561 + 1.26322i 0.175809 + 0.112986i
\(126\) 0.444872 0.238884i 0.0396323 0.0212815i
\(127\) −0.0684842 + 0.476318i −0.00607699 + 0.0422664i −0.992634 0.121149i \(-0.961342\pi\)
0.986557 + 0.163416i \(0.0522511\pi\)
\(128\) 4.90643 + 3.15317i 0.433671 + 0.278703i
\(129\) 1.63260 + 1.88413i 0.143743 + 0.165888i
\(130\) 1.26323 0.576898i 0.110793 0.0505973i
\(131\) 4.45815 + 6.93701i 0.389510 + 0.606089i 0.979530 0.201299i \(-0.0645164\pi\)
−0.590020 + 0.807389i \(0.700880\pi\)
\(132\) −5.86101 1.72095i −0.510135 0.149789i
\(133\) 5.01376 + 0.393945i 0.434749 + 0.0341594i
\(134\) 0.654284 + 2.22829i 0.0565215 + 0.192495i
\(135\) −2.76369 1.26213i −0.237861 0.108627i
\(136\) −0.700684 4.87336i −0.0600832 0.417888i
\(137\) 6.38459i 0.545473i 0.962089 + 0.272736i \(0.0879287\pi\)
−0.962089 + 0.272736i \(0.912071\pi\)
\(138\) 0.835585 + 0.373603i 0.0711297 + 0.0318032i
\(139\) 8.48730i 0.719883i −0.932975 0.359942i \(-0.882797\pi\)
0.932975 0.359942i \(-0.117203\pi\)
\(140\) −11.2390 + 11.0825i −0.949872 + 0.936644i
\(141\) 1.95323 4.27698i 0.164492 0.360187i
\(142\) −1.37587 + 0.403993i −0.115461 + 0.0339023i
\(143\) 4.87892 5.63057i 0.407996 0.470852i
\(144\) 3.62955 + 1.06573i 0.302462 + 0.0888109i
\(145\) −14.6319 + 9.40333i −1.21511 + 0.780904i
\(146\) −0.202213 + 0.0923478i −0.0167353 + 0.00764276i
\(147\) −2.81833 6.40758i −0.232452 0.528488i
\(148\) 8.88135 13.8197i 0.730042 1.13597i
\(149\) −4.72606 0.679504i −0.387174 0.0556672i −0.0540203 0.998540i \(-0.517204\pi\)
−0.333153 + 0.942873i \(0.608113\pi\)
\(150\) −0.799278 0.114919i −0.0652607 0.00938308i
\(151\) −0.921173 0.592002i −0.0749640 0.0481764i 0.502622 0.864506i \(-0.332369\pi\)
−0.577586 + 0.816330i \(0.696005\pi\)
\(152\) −0.941648 1.08672i −0.0763778 0.0881447i
\(153\) −2.70375 5.92038i −0.218585 0.478634i
\(154\) 0.559260 1.46792i 0.0450665 0.118288i
\(155\) 7.50761 25.5686i 0.603026 2.05372i
\(156\) −3.07956 + 3.55400i −0.246562 + 0.284548i
\(157\) 15.2897 4.48946i 1.22025 0.358298i 0.392688 0.919672i \(-0.371545\pi\)
0.827562 + 0.561374i \(0.189727\pi\)
\(158\) −2.64525 1.20805i −0.210445 0.0961070i
\(159\) 1.30114 + 9.04962i 0.103187 + 0.717681i
\(160\) 6.79014 0.536808
\(161\) 6.07057 11.1422i 0.478428 0.878127i
\(162\) −0.190854 −0.0149949
\(163\) −2.47568 17.2187i −0.193910 1.34867i −0.821535 0.570158i \(-0.806882\pi\)
0.627625 0.778516i \(-0.284027\pi\)
\(164\) 11.7650 + 5.37288i 0.918690 + 0.419551i
\(165\) −9.06877 + 2.66283i −0.706003 + 0.207301i
\(166\) −1.43747 + 1.65893i −0.111569 + 0.128758i
\(167\) 3.48135 11.8564i 0.269395 0.917474i −0.708029 0.706184i \(-0.750415\pi\)
0.977423 0.211290i \(-0.0677666\pi\)
\(168\) −0.712555 + 1.87028i −0.0549748 + 0.144295i
\(169\) 3.01771 + 6.60787i 0.232132 + 0.508298i
\(170\) −2.47148 2.85224i −0.189554 0.218757i
\(171\) −1.59911 1.02769i −0.122287 0.0785891i
\(172\) −4.84548 0.696674i −0.369464 0.0531209i
\(173\) −5.45178 0.783848i −0.414492 0.0595949i −0.0680853 0.997680i \(-0.521689\pi\)
−0.346406 + 0.938085i \(0.612598\pi\)
\(174\) −0.590690 + 0.919131i −0.0447801 + 0.0696791i
\(175\) −2.45611 + 10.9213i −0.185664 + 0.825573i
\(176\) 10.7043 4.88850i 0.806869 0.368485i
\(177\) 2.53469 1.62895i 0.190519 0.122439i
\(178\) −0.945395 0.277593i −0.0708603 0.0208065i
\(179\) −6.29324 + 7.26278i −0.470379 + 0.542846i −0.940517 0.339747i \(-0.889659\pi\)
0.470138 + 0.882593i \(0.344204\pi\)
\(180\) 5.72417 1.68077i 0.426655 0.125277i
\(181\) 0.371494 0.813459i 0.0276129 0.0604639i −0.895323 0.445417i \(-0.853055\pi\)
0.922936 + 0.384954i \(0.125783\pi\)
\(182\) −0.849103 0.861095i −0.0629397 0.0638286i
\(183\) 0.195740i 0.0144695i
\(184\) −3.47269 + 1.04972i −0.256010 + 0.0773864i
\(185\) 25.4183i 1.86879i
\(186\) −0.238228 1.65691i −0.0174677 0.121491i
\(187\) −18.4176 8.41102i −1.34683 0.615075i
\(188\) 2.60110 + 8.85852i 0.189704 + 0.646074i
\(189\) −0.207245 + 2.63762i −0.0150749 + 0.191859i
\(190\) −1.05759 0.310537i −0.0767258 0.0225287i
\(191\) 11.9034 + 18.5221i 0.861301 + 1.34021i 0.939243 + 0.343252i \(0.111529\pi\)
−0.0779426 + 0.996958i \(0.524835\pi\)
\(192\) −6.49387 + 2.96565i −0.468655 + 0.214028i
\(193\) 15.7408 + 18.1658i 1.13305 + 1.30761i 0.945600 + 0.325332i \(0.105476\pi\)
0.187448 + 0.982275i \(0.439979\pi\)
\(194\) −2.09426 1.34590i −0.150359 0.0966300i
\(195\) −1.03554 + 7.20232i −0.0741563 + 0.515769i
\(196\) 12.4216 + 5.88466i 0.887258 + 0.420333i
\(197\) 3.33106 + 2.14074i 0.237328 + 0.152521i 0.653899 0.756582i \(-0.273132\pi\)
−0.416571 + 0.909103i \(0.636768\pi\)
\(198\) −0.448706 + 0.388806i −0.0318882 + 0.0276313i
\(199\) −6.27353 13.7371i −0.444719 0.973798i −0.990708 0.136006i \(-0.956573\pi\)
0.545989 0.837792i \(-0.316154\pi\)
\(200\) 2.69249 1.73036i 0.190388 0.122355i
\(201\) −11.6753 3.42819i −0.823515 0.241806i
\(202\) 1.32557 + 1.14861i 0.0932669 + 0.0808162i
\(203\) 12.0611 + 9.16146i 0.846521 + 0.643008i
\(204\) 11.6251 + 5.30901i 0.813920 + 0.371705i
\(205\) 19.8088 2.84807i 1.38351 0.198918i
\(206\) −3.28122 −0.228613
\(207\) −4.01378 + 2.62480i −0.278977 + 0.182436i
\(208\) 9.05946i 0.628161i
\(209\) −5.85317 + 0.841559i −0.404872 + 0.0582118i
\(210\) 0.315592 + 1.50136i 0.0217779 + 0.103604i
\(211\) −12.2871 + 3.60782i −0.845880 + 0.248373i −0.675825 0.737062i \(-0.736213\pi\)
−0.170055 + 0.985435i \(0.554394\pi\)
\(212\) −13.5675 11.7563i −0.931817 0.807424i
\(213\) 2.11676 7.20903i 0.145038 0.493955i
\(214\) −1.94482 3.02620i −0.132945 0.206867i
\(215\) −6.89003 + 3.14657i −0.469896 + 0.214595i
\(216\) 0.571698 0.495379i 0.0388991 0.0337063i
\(217\) −23.1574 + 1.49312i −1.57202 + 0.101360i
\(218\) 2.53891 + 0.365040i 0.171957 + 0.0247236i
\(219\) 0.165765 1.15292i 0.0112014 0.0779072i
\(220\) 10.0337 15.6128i 0.676474 1.05261i
\(221\) −11.7802 + 10.2076i −0.792423 + 0.686639i
\(222\) −0.663294 1.45241i −0.0445174 0.0974795i
\(223\) 3.16358 + 4.92263i 0.211849 + 0.329644i 0.930874 0.365341i \(-0.119048\pi\)
−0.719025 + 0.694985i \(0.755411\pi\)
\(224\) −2.02747 5.55449i −0.135466 0.371125i
\(225\) 2.77069 3.19755i 0.184713 0.213170i
\(226\) 0.0849705 + 0.289383i 0.00565215 + 0.0192495i
\(227\) 1.49180 3.26658i 0.0990140 0.216810i −0.853642 0.520860i \(-0.825611\pi\)
0.952656 + 0.304049i \(0.0983388\pi\)
\(228\) 3.69450 0.531189i 0.244674 0.0351788i
\(229\) −15.5322 −1.02640 −0.513198 0.858270i \(-0.671539\pi\)
−0.513198 + 0.858270i \(0.671539\pi\)
\(230\) −1.80436 + 2.11609i −0.118976 + 0.139531i
\(231\) 4.88610 + 6.62336i 0.321482 + 0.435785i
\(232\) −0.616294 4.28642i −0.0404617 0.281417i
\(233\) 1.71859 3.76318i 0.112588 0.246534i −0.844947 0.534850i \(-0.820368\pi\)
0.957535 + 0.288316i \(0.0930953\pi\)
\(234\) 0.128775 + 0.438566i 0.00841826 + 0.0286700i
\(235\) 10.7963 + 9.35501i 0.704271 + 0.610254i
\(236\) −1.66680 + 5.67659i −0.108499 + 0.369514i
\(237\) 12.8182 8.23775i 0.832631 0.535099i
\(238\) −1.59524 + 2.87338i −0.103404 + 0.186254i
\(239\) 1.25929 + 1.45329i 0.0814565 + 0.0940058i 0.795015 0.606590i \(-0.207463\pi\)
−0.713558 + 0.700596i \(0.752918\pi\)
\(240\) −6.21359 + 9.66854i −0.401086 + 0.624102i
\(241\) 1.05454 7.33446i 0.0679287 0.472454i −0.927255 0.374430i \(-0.877839\pi\)
0.995184 0.0980246i \(-0.0312524\pi\)
\(242\) 0.0359193 0.249824i 0.00230898 0.0160593i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) 0.251696 + 0.290472i 0.0161132 + 0.0185956i
\(245\) 21.0917 2.73122i 1.34750 0.174491i
\(246\) 1.05756 0.679654i 0.0674277 0.0433331i
\(247\) −1.28257 + 4.36802i −0.0816078 + 0.277931i
\(248\) 5.01427 + 4.34489i 0.318406 + 0.275901i
\(249\) −3.24031 11.0355i −0.205346 0.699344i
\(250\) −0.185248 + 0.405636i −0.0117161 + 0.0256547i
\(251\) −2.58208 17.9588i −0.162980 1.13355i −0.892978 0.450100i \(-0.851388\pi\)
0.729999 0.683449i \(-0.239521\pi\)
\(252\) −3.08409 4.18064i −0.194279 0.263356i
\(253\) −4.08935 + 14.3479i −0.257095 + 0.902042i
\(254\) −0.0918421 −0.00576269
\(255\) 19.5733 2.81422i 1.22573 0.176233i
\(256\) 5.46890 11.9752i 0.341806 0.748452i
\(257\) 4.86780 + 16.5782i 0.303645 + 1.03412i 0.960077 + 0.279735i \(0.0902465\pi\)
−0.656432 + 0.754385i \(0.727935\pi\)
\(258\) −0.311589 + 0.359593i −0.0193987 + 0.0223873i
\(259\) −20.7927 + 7.58964i −1.29200 + 0.471598i
\(260\) −7.72452 12.0196i −0.479055 0.745423i
\(261\) −2.37811 5.20733i −0.147201 0.322325i
\(262\) −1.18939 + 1.03061i −0.0734808 + 0.0636715i
\(263\) 9.92661 15.4461i 0.612101 0.952448i −0.387432 0.921898i \(-0.626638\pi\)
0.999533 0.0305496i \(-0.00972576\pi\)
\(264\) 0.334905 2.32931i 0.0206120 0.143359i
\(265\) −27.4950 3.95319i −1.68900 0.242842i
\(266\) 0.0617600 + 0.957858i 0.00378675 + 0.0587300i
\(267\) 3.90165 3.38080i 0.238777 0.206901i
\(268\) 21.7341 9.92562i 1.32762 0.606304i
\(269\) 4.17392 + 6.49475i 0.254489 + 0.395992i 0.944866 0.327457i \(-0.106192\pi\)
−0.690377 + 0.723450i \(0.742555\pi\)
\(270\) 0.163366 0.556374i 0.00994214 0.0338598i
\(271\) 21.5391 + 18.6637i 1.30841 + 1.13374i 0.982076 + 0.188486i \(0.0603581\pi\)
0.326332 + 0.945255i \(0.394187\pi\)
\(272\) −23.6230 + 6.93635i −1.43236 + 0.420578i
\(273\) 6.20086 1.30345i 0.375293 0.0788882i
\(274\) −1.20612 + 0.173414i −0.0728645 + 0.0104763i
\(275\) 13.1620i 0.793699i
\(276\) 2.58118 9.05632i 0.155369 0.545126i
\(277\) 13.8216 0.830458 0.415229 0.909717i \(-0.363701\pi\)
0.415229 + 0.909717i \(0.363701\pi\)
\(278\) 1.60335 0.230527i 0.0961624 0.0138261i
\(279\) 7.97823 + 3.64354i 0.477644 + 0.218133i
\(280\) −4.84226 3.67813i −0.289381 0.219810i
\(281\) −18.8951 16.3727i −1.12719 0.976715i −0.127304 0.991864i \(-0.540632\pi\)
−0.999885 + 0.0151490i \(0.995178\pi\)
\(282\) 0.861024 + 0.252819i 0.0512732 + 0.0150552i
\(283\) 1.62288 1.04296i 0.0964704 0.0619978i −0.491516 0.870868i \(-0.663557\pi\)
0.587987 + 0.808871i \(0.299921\pi\)
\(284\) 6.12865 + 13.4199i 0.363669 + 0.796323i
\(285\) 4.36468 3.78202i 0.258542 0.224028i
\(286\) 1.19620 + 0.768750i 0.0707327 + 0.0454571i
\(287\) −8.24450 15.3536i −0.486657 0.906296i
\(288\) −0.318058 + 2.21214i −0.0187417 + 0.130352i
\(289\) 21.3351 + 13.7112i 1.25501 + 0.806544i
\(290\) −2.17382 2.50872i −0.127651 0.147317i
\(291\) 11.8650 5.41857i 0.695540 0.317642i
\(292\) 1.23651 + 1.92405i 0.0723615 + 0.112597i
\(293\) −10.9898 3.22690i −0.642032 0.188518i −0.0555192 0.998458i \(-0.517681\pi\)
−0.586513 + 0.809940i \(0.699500\pi\)
\(294\) 1.13391 0.706453i 0.0661312 0.0412012i
\(295\) 2.57904 + 8.78342i 0.150158 + 0.511390i
\(296\) 5.75674 + 2.62902i 0.334604 + 0.152808i
\(297\) −0.442724 3.07921i −0.0256895 0.178674i
\(298\) 0.911262i 0.0527880i
\(299\) 8.73977 + 7.45229i 0.505434 + 0.430977i
\(300\) 8.30782i 0.479652i
\(301\) 4.63126 + 4.69667i 0.266942 + 0.270712i
\(302\) 0.0868156 0.190100i 0.00499568 0.0109390i
\(303\) −8.81791 + 2.58917i −0.506576 + 0.148744i
\(304\) −4.70881 + 5.43425i −0.270069 + 0.311676i
\(305\) 0.570617 + 0.167548i 0.0326734 + 0.00959379i
\(306\) 1.04499 0.671574i 0.0597381 0.0383913i
\(307\) −5.11167 + 2.33442i −0.291738 + 0.133232i −0.555908 0.831244i \(-0.687629\pi\)
0.264170 + 0.964476i \(0.414902\pi\)
\(308\) −15.7676 3.54600i −0.898442 0.202052i
\(309\) 9.29485 14.4631i 0.528766 0.822775i
\(310\) 5.03411 + 0.723796i 0.285918 + 0.0411089i
\(311\) −8.82360 1.26864i −0.500340 0.0719381i −0.112476 0.993654i \(-0.535878\pi\)
−0.387865 + 0.921716i \(0.626787\pi\)
\(312\) −1.52408 0.979465i −0.0862839 0.0554513i
\(313\) −20.8631 24.0773i −1.17925 1.36093i −0.918450 0.395536i \(-0.870559\pi\)
−0.260801 0.965393i \(-0.583987\pi\)
\(314\) 1.26340 + 2.76646i 0.0712977 + 0.156120i
\(315\) −7.51175 2.86189i −0.423239 0.161249i
\(316\) −8.42916 + 28.7071i −0.474177 + 1.61490i
\(317\) 6.18282 7.13536i 0.347262 0.400762i −0.555070 0.831804i \(-0.687308\pi\)
0.902332 + 0.431042i \(0.141854\pi\)
\(318\) −1.67424 + 0.491600i −0.0938865 + 0.0275676i
\(319\) −16.1994 7.39800i −0.906990 0.414208i
\(320\) −3.08682 21.4693i −0.172559 1.20017i
\(321\) 18.8482 1.05200
\(322\) 2.26977 + 0.844164i 0.126489 + 0.0470434i
\(323\) 12.3719 0.688389
\(324\) 0.279446 + 1.94359i 0.0155248 + 0.107977i
\(325\) −9.21716 4.20933i −0.511276 0.233492i
\(326\) 3.18557 0.935368i 0.176432 0.0518052i
\(327\) −8.80112 + 10.1570i −0.486703 + 0.561685i
\(328\) −1.40379 + 4.78088i −0.0775115 + 0.263980i
\(329\) 4.42896 11.6249i 0.244176 0.640902i
\(330\) −0.749359 1.64087i −0.0412509 0.0903268i
\(331\) 2.75065 + 3.17442i 0.151189 + 0.174482i 0.826292 0.563242i \(-0.190446\pi\)
−0.675103 + 0.737724i \(0.735901\pi\)
\(332\) 18.9987 + 12.2097i 1.04269 + 0.670095i
\(333\) 8.28094 + 1.19062i 0.453793 + 0.0652455i
\(334\) 2.33436 + 0.335631i 0.127731 + 0.0183649i
\(335\) 19.9876 31.1013i 1.09204 1.69924i
\(336\) 9.76440 + 2.19593i 0.532692 + 0.119798i
\(337\) 0.340674 0.155581i 0.0185577 0.00847502i −0.406115 0.913822i \(-0.633117\pi\)
0.424672 + 0.905347i \(0.360389\pi\)
\(338\) −1.16634 + 0.749560i −0.0634404 + 0.0407707i
\(339\) −1.51625 0.445212i −0.0823515 0.0241806i
\(340\) −25.4275 + 29.3449i −1.37900 + 1.59145i
\(341\) 26.1798 7.68707i 1.41771 0.416278i
\(342\) 0.150708 0.330003i 0.00814933 0.0178445i
\(343\) −8.53195 16.4379i −0.460682 0.887565i
\(344\) 1.88591i 0.101681i
\(345\) −4.21608 13.9476i −0.226986 0.750916i
\(346\) 1.05119i 0.0565126i
\(347\) −3.39164 23.5894i −0.182073 1.26634i −0.851852 0.523783i \(-0.824520\pi\)
0.669779 0.742561i \(-0.266389\pi\)
\(348\) 10.2250 + 4.66959i 0.548116 + 0.250316i
\(349\) −3.20852 10.9272i −0.171748 0.584921i −0.999709 0.0241345i \(-0.992317\pi\)
0.827960 0.560787i \(-0.189501\pi\)
\(350\) −2.12987 0.167350i −0.113846 0.00894522i
\(351\) −2.29791 0.674728i −0.122654 0.0360143i
\(352\) 3.75878 + 5.84878i 0.200344 + 0.311741i
\(353\) −10.3813 + 4.74097i −0.552539 + 0.252336i −0.672062 0.740495i \(-0.734591\pi\)
0.119522 + 0.992832i \(0.461864\pi\)
\(354\) 0.376572 + 0.434588i 0.0200146 + 0.0230981i
\(355\) 19.2037 + 12.3415i 1.01923 + 0.655018i
\(356\) −1.44267 + 10.0340i −0.0764615 + 0.531801i
\(357\) −8.14648 15.1711i −0.431158 0.802940i
\(358\) −1.54296 0.991597i −0.0815477 0.0524075i
\(359\) 10.7048 9.27573i 0.564976 0.489554i −0.324906 0.945746i \(-0.605333\pi\)
0.889881 + 0.456192i \(0.150787\pi\)
\(360\) 0.954760 + 2.09063i 0.0503203 + 0.110186i
\(361\) −12.9441 + 8.31868i −0.681270 + 0.437825i
\(362\) 0.163762 + 0.0480848i 0.00860714 + 0.00252728i
\(363\) 0.999435 + 0.866015i 0.0524567 + 0.0454540i
\(364\) −7.52584 + 9.90777i −0.394461 + 0.519308i
\(365\) 3.21908 + 1.47011i 0.168494 + 0.0769488i
\(366\) 0.0369775 0.00531656i 0.00193285 0.000277901i
\(367\) −28.0585 −1.46464 −0.732321 0.680960i \(-0.761563\pi\)
−0.732321 + 0.680960i \(0.761563\pi\)
\(368\) 7.66717 + 16.4417i 0.399679 + 0.857084i
\(369\) 6.58685i 0.342898i
\(370\) 4.80180 0.690395i 0.249634 0.0358919i
\(371\) 4.97594 + 23.6719i 0.258338 + 1.22899i
\(372\) −16.5246 + 4.85205i −0.856759 + 0.251567i
\(373\) 7.22522 + 6.26069i 0.374108 + 0.324166i 0.821539 0.570152i \(-0.193116\pi\)
−0.447432 + 0.894318i \(0.647661\pi\)
\(374\) 1.08869 3.70774i 0.0562949 0.191723i
\(375\) −1.26322 1.96561i −0.0652324 0.101504i
\(376\) −3.23539 + 1.47755i −0.166852 + 0.0761989i
\(377\) −10.3614 + 8.97821i −0.533640 + 0.462402i
\(378\) −0.503906 + 0.0324904i −0.0259181 + 0.00167113i
\(379\) −32.3352 4.64909i −1.66095 0.238808i −0.753037 0.657978i \(-0.771412\pi\)
−0.907908 + 0.419170i \(0.862321\pi\)
\(380\) −1.61389 + 11.2248i −0.0827906 + 0.575821i
\(381\) 0.260165 0.404825i 0.0133287 0.0207398i
\(382\) −3.17572 + 2.75178i −0.162484 + 0.140793i
\(383\) −11.9571 26.1823i −0.610978 1.33785i −0.921903 0.387420i \(-0.873366\pi\)
0.310926 0.950434i \(-0.399361\pi\)
\(384\) −3.15317 4.90643i −0.160910 0.250380i
\(385\) −23.4907 + 8.57443i −1.19720 + 0.436993i
\(386\) −3.00420 + 3.46703i −0.152910 + 0.176467i
\(387\) −0.702375 2.39207i −0.0357037 0.121596i
\(388\) −10.6398 + 23.2979i −0.540153 + 1.18277i
\(389\) 3.29758 0.474121i 0.167194 0.0240389i −0.0582094 0.998304i \(-0.518539\pi\)
0.225403 + 0.974266i \(0.427630\pi\)
\(390\) −1.38873 −0.0703209
\(391\) 12.7407 28.4953i 0.644323 1.44107i
\(392\) −1.56295 + 5.05934i −0.0789407 + 0.255535i
\(393\) −1.17353 8.16211i −0.0591970 0.411724i
\(394\) −0.313934 + 0.687420i −0.0158158 + 0.0346317i
\(395\) 13.0425 + 44.4186i 0.656239 + 2.23494i
\(396\) 4.61645 + 4.00018i 0.231985 + 0.201016i
\(397\) −4.61746 + 15.7256i −0.231744 + 0.789247i 0.758713 + 0.651425i \(0.225828\pi\)
−0.990457 + 0.137822i \(0.955990\pi\)
\(398\) 2.42470 1.55826i 0.121539 0.0781085i
\(399\) −4.39703 2.44114i −0.220127 0.122210i
\(400\) −10.4809 12.0956i −0.524045 0.604781i
\(401\) −11.2094 + 17.4421i −0.559769 + 0.871017i −0.999634 0.0270467i \(-0.991390\pi\)
0.439866 + 0.898064i \(0.355026\pi\)
\(402\) 0.330506 2.29872i 0.0164841 0.114650i
\(403\) 2.98939 20.7917i 0.148912 1.03571i
\(404\) 9.75619 15.1809i 0.485389 0.755279i
\(405\) 1.98963 + 2.29616i 0.0988655 + 0.114097i
\(406\) −1.40311 + 2.52731i −0.0696351 + 0.125428i
\(407\) 21.8944 14.0707i 1.08526 0.697457i
\(408\) −1.38710 + 4.72404i −0.0686719 + 0.233875i
\(409\) −16.6488 14.4262i −0.823229 0.713332i 0.137596 0.990488i \(-0.456063\pi\)
−0.960825 + 0.277156i \(0.910608\pi\)
\(410\) 1.07607 + 3.66475i 0.0531432 + 0.180989i
\(411\) 2.65226 5.80763i 0.130826 0.286469i
\(412\) 4.80431 + 33.4147i 0.236692 + 1.64623i
\(413\) 6.41496 4.73236i 0.315660 0.232864i
\(414\) −0.604875 0.686956i −0.0297280 0.0337620i
\(415\) 34.9440 1.71533
\(416\) 5.29791 0.761724i 0.259751 0.0373466i
\(417\) −3.52575 + 7.72032i −0.172657 + 0.378066i
\(418\) −0.317960 1.08287i −0.0155519 0.0529650i
\(419\) 2.62911 3.03415i 0.128440 0.148228i −0.687887 0.725818i \(-0.741461\pi\)
0.816327 + 0.577590i \(0.196007\pi\)
\(420\) 14.8272 5.41215i 0.723495 0.264086i
\(421\) 3.57138 + 5.55717i 0.174058 + 0.270840i 0.917312 0.398170i \(-0.130355\pi\)
−0.743253 + 0.669010i \(0.766718\pi\)
\(422\) −1.01529 2.22318i −0.0494237 0.108223i
\(423\) −3.55345 + 3.07908i −0.172775 + 0.149710i
\(424\) 3.73913 5.81820i 0.181588 0.282557i
\(425\) −3.91898 + 27.2571i −0.190099 + 1.32216i
\(426\) 1.41936 + 0.204074i 0.0687684 + 0.00988740i
\(427\) −0.0333222 0.516806i −0.00161257 0.0250100i
\(428\) −27.9702 + 24.2363i −1.35199 + 1.17150i
\(429\) −6.77705 + 3.09497i −0.327199 + 0.149427i
\(430\) −0.781566 1.21614i −0.0376905 0.0586475i
\(431\) 7.67874 26.1514i 0.369872 1.25967i −0.538898 0.842371i \(-0.681159\pi\)
0.908770 0.417297i \(-0.137023\pi\)
\(432\) −2.85883 2.47719i −0.137546 0.119184i
\(433\) 24.3585 7.15232i 1.17060 0.343718i 0.362055 0.932157i \(-0.382075\pi\)
0.808542 + 0.588438i \(0.200257\pi\)
\(434\) −0.911054 4.33414i −0.0437320 0.208045i
\(435\) 17.2159 2.47527i 0.825439 0.118680i
\(436\) 26.3898i 1.26384i
\(437\) −1.36904 9.01285i −0.0654900 0.431143i
\(438\) 0.222302 0.0106220
\(439\) −14.4724 + 2.08082i −0.690730 + 0.0993119i −0.478736 0.877959i \(-0.658905\pi\)
−0.211994 + 0.977271i \(0.567996\pi\)
\(440\) 6.50370 + 2.97014i 0.310052 + 0.141596i
\(441\) −0.0981615 + 6.99931i −0.00467436 + 0.333301i
\(442\) −2.24830 1.94817i −0.106941 0.0926648i
\(443\) −28.4358 8.34950i −1.35102 0.396697i −0.475434 0.879751i \(-0.657709\pi\)
−0.875590 + 0.483055i \(0.839527\pi\)
\(444\) −13.8197 + 8.88135i −0.655852 + 0.421490i
\(445\) 6.51592 + 14.2679i 0.308884 + 0.676362i
\(446\) −0.844014 + 0.731343i −0.0399652 + 0.0346301i
\(447\) 4.01670 + 2.58137i 0.189983 + 0.122095i
\(448\) −16.6407 + 8.93562i −0.786200 + 0.422168i
\(449\) 3.06454 21.3143i 0.144624 1.00588i −0.780211 0.625517i \(-0.784888\pi\)
0.924835 0.380368i \(-0.124203\pi\)
\(450\) 0.679309 + 0.436566i 0.0320230 + 0.0205799i
\(451\) 13.4187 + 15.4860i 0.631860 + 0.729206i
\(452\) 2.82256 1.28902i 0.132762 0.0606304i
\(453\) 0.592002 + 0.921173i 0.0278147 + 0.0432805i
\(454\) 0.657613 + 0.193093i 0.0308633 + 0.00906229i
\(455\) −1.50799 + 19.1923i −0.0706958 + 0.899751i
\(456\) 0.405114 + 1.37969i 0.0189712 + 0.0646099i
\(457\) 7.35391 + 3.35842i 0.344001 + 0.157100i 0.579922 0.814672i \(-0.303083\pi\)
−0.235920 + 0.971772i \(0.575810\pi\)
\(458\) −0.421875 2.93421i −0.0197129 0.137106i
\(459\) 6.50854i 0.303793i
\(460\) 24.1914 + 15.2766i 1.12793 + 0.712274i
\(461\) 18.9743i 0.883720i 0.897084 + 0.441860i \(0.145681\pi\)
−0.897084 + 0.441860i \(0.854319\pi\)
\(462\) −1.11852 + 1.10294i −0.0520381 + 0.0513134i
\(463\) −8.91523 + 19.5216i −0.414326 + 0.907247i 0.581289 + 0.813697i \(0.302549\pi\)
−0.995615 + 0.0935497i \(0.970179\pi\)
\(464\) −20.7779 + 6.10094i −0.964589 + 0.283229i
\(465\) −17.4507 + 20.1392i −0.809258 + 0.933934i
\(466\) 0.757588 + 0.222448i 0.0350946 + 0.0103047i
\(467\) −24.1860 + 15.5434i −1.11920 + 0.719263i −0.963278 0.268507i \(-0.913470\pi\)
−0.155918 + 0.987770i \(0.549834\pi\)
\(468\) 4.27765 1.95354i 0.197734 0.0903022i
\(469\) −31.4097 7.06377i −1.45036 0.326174i
\(470\) −1.47403 + 2.29363i −0.0679918 + 0.105797i
\(471\) −15.7730 2.26781i −0.726781 0.104495i
\(472\) −2.25602 0.324367i −0.103842 0.0149302i
\(473\) −6.52442 4.19299i −0.299993 0.192794i
\(474\) 1.90437 + 2.19775i 0.0874704 + 0.100946i
\(475\) 3.34097 + 7.31571i 0.153294 + 0.335668i
\(476\) 31.5972 + 12.0382i 1.44825 + 0.551769i
\(477\) 2.57579 8.77234i 0.117937 0.401658i
\(478\) −0.240340 + 0.277367i −0.0109929 + 0.0126865i
\(479\) −13.3157 + 3.90984i −0.608409 + 0.178645i −0.571402 0.820670i \(-0.693600\pi\)
−0.0370067 + 0.999315i \(0.511782\pi\)
\(480\) −6.17653 2.82073i −0.281919 0.128748i
\(481\) −2.85144 19.8322i −0.130015 0.904272i
\(482\) 1.41421 0.0644153
\(483\) −10.1506 + 7.61347i −0.461869 + 0.346425i
\(484\) −2.59671 −0.118032
\(485\) 5.63997 + 39.2268i 0.256098 + 1.78120i
\(486\) 0.173607 + 0.0792836i 0.00787497 + 0.00359638i
\(487\) −15.6744 + 4.60243i −0.710277 + 0.208556i −0.616862 0.787071i \(-0.711596\pi\)
−0.0934148 + 0.995627i \(0.529778\pi\)
\(488\) −0.0969654 + 0.111904i −0.00438942 + 0.00506566i
\(489\) −4.90096 + 16.6911i −0.221629 + 0.754799i
\(490\) 1.08884 + 3.91027i 0.0491886 + 0.176648i
\(491\) 10.2642 + 22.4755i 0.463217 + 1.01430i 0.986742 + 0.162294i \(0.0518893\pi\)
−0.523525 + 0.852010i \(0.675383\pi\)
\(492\) −8.46982 9.77469i −0.381849 0.440677i
\(493\) 31.3444 + 20.1438i 1.41168 + 0.907231i
\(494\) −0.860006 0.123650i −0.0386935 0.00556329i
\(495\) 9.35542 + 1.34511i 0.420495 + 0.0604580i
\(496\) 17.9374 27.9112i 0.805415 1.25325i
\(497\) 4.36158 19.3941i 0.195644 0.869946i
\(498\) 1.99671 0.911869i 0.0894749 0.0408618i
\(499\) 24.6030 15.8114i 1.10138 0.707815i 0.141984 0.989869i \(-0.454652\pi\)
0.959399 + 0.282054i \(0.0910156\pi\)
\(500\) 4.40209 + 1.29257i 0.196868 + 0.0578055i
\(501\) −8.09206 + 9.33874i −0.361527 + 0.417224i
\(502\) 3.32249 0.975570i 0.148290 0.0435418i
\(503\) 10.1265 22.1740i 0.451519 0.988688i −0.537821 0.843059i \(-0.680752\pi\)
0.989339 0.145629i \(-0.0465205\pi\)
\(504\) 1.42510 1.40526i 0.0634792 0.0625951i
\(505\) 27.9221i 1.24252i
\(506\) −2.82155 0.382818i −0.125433 0.0170183i
\(507\) 7.26434i 0.322621i
\(508\) 0.134474 + 0.935287i 0.00596632 + 0.0414966i
\(509\) −5.96539 2.72430i −0.264411 0.120753i 0.278798 0.960350i \(-0.410064\pi\)
−0.543210 + 0.839597i \(0.682791\pi\)
\(510\) 1.06327 + 3.62118i 0.0470826 + 0.160349i
\(511\) 0.241394 3.07224i 0.0106787 0.135908i
\(512\) 13.6029 + 3.99416i 0.601168 + 0.176519i
\(513\) 1.02769 + 1.59911i 0.0453734 + 0.0706024i
\(514\) −2.99959 + 1.36987i −0.132306 + 0.0604223i
\(515\) 34.2063 + 39.4762i 1.50731 + 1.73953i
\(516\) 4.11819 + 2.64660i 0.181293 + 0.116510i
\(517\) −2.08164 + 14.4781i −0.0915503 + 0.636746i
\(518\) −1.99853 3.72184i −0.0878104 0.163528i
\(519\) 4.63350 + 2.97777i 0.203388 + 0.130709i
\(520\) 4.15989 3.60456i 0.182423 0.158071i
\(521\) −2.75307 6.02839i −0.120614 0.264109i 0.839688 0.543069i \(-0.182738\pi\)
−0.960303 + 0.278960i \(0.910010\pi\)
\(522\) 0.919131 0.590690i 0.0402293 0.0258538i
\(523\) 35.4685 + 10.4145i 1.55093 + 0.455394i 0.941379 0.337352i \(-0.109531\pi\)
0.609552 + 0.792746i \(0.291349\pi\)
\(524\) 12.2369 + 10.6033i 0.534571 + 0.463208i
\(525\) 6.77103 8.91407i 0.295512 0.389042i
\(526\) 3.18757 + 1.45571i 0.138985 + 0.0634721i
\(527\) −56.5043 + 8.12409i −2.46137 + 0.353891i
\(528\) −11.7677 −0.512126
\(529\) −22.1685 6.12831i −0.963849 0.266448i
\(530\) 5.30150i 0.230282i
\(531\) −2.98233 + 0.428794i −0.129422 + 0.0186081i
\(532\) 9.66405 2.03142i 0.418990 0.0880733i
\(533\) 15.1360 4.44433i 0.655613 0.192505i
\(534\) 0.744645 + 0.645239i 0.0322239 + 0.0279222i
\(535\) −16.1336 + 54.9459i −0.697515 + 2.37552i
\(536\) 4.97651 + 7.74361i 0.214953 + 0.334473i
\(537\) 8.74160 3.99215i 0.377228 0.172274i
\(538\) −1.11356 + 0.964908i −0.0480091 + 0.0416002i
\(539\) 14.0282 + 16.6557i 0.604235 + 0.717410i
\(540\) −5.90511 0.849026i −0.254115 0.0365363i
\(541\) −1.50540 + 10.4703i −0.0647221 + 0.450152i 0.931531 + 0.363663i \(0.118474\pi\)
−0.996253 + 0.0864894i \(0.972435\pi\)
\(542\) −2.94076 + 4.57592i −0.126317 + 0.196552i
\(543\) −0.675846 + 0.585624i −0.0290033 + 0.0251315i
\(544\) −6.04256 13.2314i −0.259073 0.567290i
\(545\) −22.0760 34.3510i −0.945634 1.47144i
\(546\) 0.414660 + 1.13601i 0.0177458 + 0.0486167i
\(547\) −22.1723 + 25.5882i −0.948019 + 1.09407i 0.0474391 + 0.998874i \(0.484894\pi\)
−0.995458 + 0.0951984i \(0.969651\pi\)
\(548\) 3.53198 + 12.0288i 0.150879 + 0.513845i
\(549\) −0.0813133 + 0.178051i −0.00347037 + 0.00759905i
\(550\) 2.48645 0.357498i 0.106023 0.0152438i
\(551\) 10.8818 0.463580
\(552\) 3.59494 + 0.487749i 0.153011 + 0.0207600i
\(553\) 32.4411 23.9320i 1.37954 1.01769i
\(554\) 0.375413 + 2.61105i 0.0159498 + 0.110933i
\(555\) −10.5591 + 23.1213i −0.448210 + 0.981444i
\(556\) −4.69520 15.9904i −0.199121 0.678143i
\(557\) −32.3996 28.0744i −1.37282 1.18955i −0.960423 0.278546i \(-0.910147\pi\)
−0.412394 0.911006i \(-0.635307\pi\)
\(558\) −0.471606 + 1.60614i −0.0199647 + 0.0679935i
\(559\) −5.02286 + 3.22799i −0.212444 + 0.136530i
\(560\) −14.7596 + 26.5853i −0.623708 + 1.12344i
\(561\) 13.2591 + 15.3019i 0.559801 + 0.646045i
\(562\) 2.57978 4.01421i 0.108821 0.169329i
\(563\) −3.89781 + 27.1099i −0.164273 + 1.14255i 0.726191 + 0.687493i \(0.241289\pi\)
−0.890465 + 0.455053i \(0.849620\pi\)
\(564\) 1.31392 9.13853i 0.0553261 0.384801i
\(565\) 2.59575 4.03906i 0.109204 0.169925i
\(566\) 0.241108 + 0.278253i 0.0101345 + 0.0116958i
\(567\) 1.28422 2.31317i 0.0539324 0.0971441i
\(568\) −4.78135 + 3.07279i −0.200621 + 0.128931i
\(569\) 9.40647 32.0355i 0.394340 1.34300i −0.488188 0.872738i \(-0.662342\pi\)
0.882528 0.470260i \(-0.155840\pi\)
\(570\) 0.833018 + 0.721814i 0.0348913 + 0.0302335i
\(571\) −1.63413 5.56534i −0.0683863 0.232902i 0.918207 0.396101i \(-0.129637\pi\)
−0.986593 + 0.163199i \(0.947819\pi\)
\(572\) 6.07721 13.3072i 0.254101 0.556404i
\(573\) −3.13338 21.7931i −0.130899 0.910421i
\(574\) 2.67655 1.97451i 0.111717 0.0824142i
\(575\) 20.2904 0.161243i 0.846166 0.00672432i
\(576\) 7.13901 0.297459
\(577\) −12.1796 + 1.75117i −0.507044 + 0.0729020i −0.391090 0.920353i \(-0.627902\pi\)
−0.115955 + 0.993255i \(0.536993\pi\)
\(578\) −2.01072 + 4.40286i −0.0836349 + 0.183135i
\(579\) −6.77197 23.0632i −0.281433 0.958474i
\(580\) −22.3650 + 25.8106i −0.928656 + 1.07173i
\(581\) −10.4339 28.5850i −0.432872 1.18590i
\(582\) 1.34590 + 2.09426i 0.0557894 + 0.0868099i
\(583\) −11.8151 25.8715i −0.489333 1.07149i
\(584\) −0.665900 + 0.577006i −0.0275551 + 0.0238767i
\(585\) 3.93391 6.12128i 0.162647 0.253084i
\(586\) 0.311100 2.16375i 0.0128514 0.0893836i
\(587\) −14.2296 2.04590i −0.587317 0.0844435i −0.157751 0.987479i \(-0.550424\pi\)
−0.429566 + 0.903035i \(0.641334\pi\)
\(588\) −8.85452 10.5130i −0.365154 0.433549i
\(589\) −12.6000 + 10.9180i −0.519174 + 0.449867i
\(590\) −1.58924 + 0.725781i −0.0654279 + 0.0298799i
\(591\) −2.14074 3.33106i −0.0880583 0.137021i
\(592\) 8.91600 30.3651i 0.366446 1.24800i
\(593\) −28.8602 25.0075i −1.18514 1.02693i −0.999013 0.0444088i \(-0.985860\pi\)
−0.186131 0.982525i \(-0.559595\pi\)
\(594\) 0.569674 0.167271i 0.0233740 0.00686322i
\(595\) 51.1997 10.7624i 2.09898 0.441215i
\(596\) −9.27996 + 1.33426i −0.380122 + 0.0546533i
\(597\) 15.1018i 0.618077i
\(598\) −1.17044 + 1.85346i −0.0478628 + 0.0757935i
\(599\) −24.6481 −1.00710 −0.503548 0.863968i \(-0.667972\pi\)
−0.503548 + 0.863968i \(0.667972\pi\)
\(600\) −3.16800 + 0.455489i −0.129333 + 0.0185953i
\(601\) 9.58037 + 4.37521i 0.390791 + 0.178468i 0.601113 0.799164i \(-0.294724\pi\)
−0.210322 + 0.977632i \(0.567451\pi\)
\(602\) −0.761463 + 1.00247i −0.0310349 + 0.0408575i
\(603\) 9.19614 + 7.96850i 0.374496 + 0.324503i
\(604\) −2.06302 0.605758i −0.0839431 0.0246479i
\(605\) −3.38008 + 2.17225i −0.137420 + 0.0883144i
\(606\) −0.728631 1.59548i −0.0295986 0.0648119i
\(607\) 14.4769 12.5443i 0.587598 0.509157i −0.309552 0.950883i \(-0.600179\pi\)
0.897150 + 0.441726i \(0.145634\pi\)
\(608\) −3.57383 2.29676i −0.144938 0.0931459i
\(609\) −7.16532 13.3439i −0.290353 0.540722i
\(610\) −0.0161531 + 0.112347i −0.000654018 + 0.00454880i
\(611\) 9.47307 + 6.08797i 0.383239 + 0.246293i
\(612\) −8.36912 9.65848i −0.338302 0.390421i
\(613\) 2.25219 1.02854i 0.0909651 0.0415424i −0.369413 0.929265i \(-0.620441\pi\)
0.460378 + 0.887723i \(0.347714\pi\)
\(614\) −0.579839 0.902246i −0.0234004 0.0364117i
\(615\) −19.2018 5.63817i −0.774293 0.227353i
\(616\) 0.487703 6.20703i 0.0196501 0.250088i
\(617\) 1.99184 + 6.78360i 0.0801886 + 0.273097i 0.989821 0.142316i \(-0.0454550\pi\)
−0.909633 + 0.415414i \(0.863637\pi\)
\(618\) 2.98470 + 1.36307i 0.120062 + 0.0548306i
\(619\) −5.45228 37.9214i −0.219146 1.52419i −0.741203 0.671281i \(-0.765744\pi\)
0.522057 0.852910i \(-0.325165\pi\)
\(620\) 52.3253i 2.10144i
\(621\) 4.74144 0.720219i 0.190268 0.0289014i
\(622\) 1.70134i 0.0682174i
\(623\) 9.72586 9.59042i 0.389658 0.384232i
\(624\) −3.76344 + 8.24078i −0.150658 + 0.329895i
\(625\) 27.1093 7.96000i 1.08437 0.318400i
\(626\) 3.98181 4.59525i 0.159145 0.183663i
\(627\) 5.67383 + 1.66599i 0.226591 + 0.0665331i
\(628\) 26.3228 16.9166i 1.05039 0.675046i
\(629\) −49.5304 + 22.6198i −1.97491 + 0.901910i
\(630\) 0.336615 1.49679i 0.0134111 0.0596334i
\(631\) −15.1269 + 23.5379i −0.602192 + 0.937029i 0.397619 + 0.917551i \(0.369837\pi\)
−0.999810 + 0.0194777i \(0.993800\pi\)
\(632\) −11.4089 1.64036i −0.453823 0.0652499i
\(633\) 12.6755 + 1.82246i 0.503806 + 0.0724363i
\(634\) 1.51588 + 0.974200i 0.0602035 + 0.0386904i
\(635\) 0.957443 + 1.10495i 0.0379950 + 0.0438485i
\(636\) 7.45767 + 16.3300i 0.295716 + 0.647527i
\(637\) 16.1500 4.49707i 0.639888 0.178180i
\(638\) 0.957570 3.26118i 0.0379106 0.129111i
\(639\) −4.92022 + 5.67823i −0.194641 + 0.224627i
\(640\) 17.0022 4.99228i 0.672069 0.197337i
\(641\) 31.7269 + 14.4892i 1.25314 + 0.572288i 0.927718 0.373282i \(-0.121767\pi\)
0.325419 + 0.945570i \(0.394495\pi\)
\(642\) 0.511943 + 3.56064i 0.0202048 + 0.140527i
\(643\) 5.94685 0.234521 0.117261 0.993101i \(-0.462589\pi\)
0.117261 + 0.993101i \(0.462589\pi\)
\(644\) 5.27330 24.3505i 0.207797 0.959545i
\(645\) 7.57453 0.298247
\(646\) 0.336037 + 2.33719i 0.0132212 + 0.0919554i
\(647\) −4.29049 1.95940i −0.168677 0.0770321i 0.329287 0.944230i \(-0.393192\pi\)
−0.497964 + 0.867198i \(0.665919\pi\)
\(648\) −0.725822 + 0.213121i −0.0285130 + 0.00837217i
\(649\) −6.13805 + 7.08368i −0.240939 + 0.278059i
\(650\) 0.544841 1.85556i 0.0213704 0.0727810i
\(651\) 21.6849 + 8.26173i 0.849900 + 0.323803i
\(652\) −14.1897 31.0711i −0.555712 1.21684i
\(653\) −4.02357 4.64345i −0.157455 0.181712i 0.671541 0.740967i \(-0.265633\pi\)
−0.828996 + 0.559255i \(0.811087\pi\)
\(654\) −2.15783 1.38675i −0.0843778 0.0542263i
\(655\) 24.7985 + 3.56549i 0.968959 + 0.139315i
\(656\) 24.6629 + 3.54600i 0.962926 + 0.138448i
\(657\) −0.629726 + 0.979873i −0.0245680 + 0.0382285i
\(658\) 2.31637 + 0.520933i 0.0903016 + 0.0203081i
\(659\) −13.5388 + 6.18296i −0.527396 + 0.240854i −0.661274 0.750144i \(-0.729984\pi\)
0.133878 + 0.990998i \(0.457257\pi\)
\(660\) −15.6128 + 10.0337i −0.607727 + 0.390563i
\(661\) −34.2941 10.0697i −1.33389 0.391664i −0.464402 0.885625i \(-0.653731\pi\)
−0.869485 + 0.493960i \(0.835549\pi\)
\(662\) −0.524973 + 0.605851i −0.0204036 + 0.0235471i
\(663\) 14.9561 4.39150i 0.580845 0.170552i
\(664\) −3.61426 + 7.91413i −0.140261 + 0.307128i
\(665\) 10.8801 10.7286i 0.421912 0.416037i
\(666\) 1.59670i 0.0618710i
\(667\) 11.2062 25.0633i 0.433905 0.970455i
\(668\) 24.2637i 0.938792i
\(669\) −0.832762 5.79199i −0.0321964 0.223931i
\(670\) 6.41828 + 2.93113i 0.247960 + 0.113239i
\(671\) 0.171553 + 0.584257i 0.00662275 + 0.0225550i
\(672\) −0.463169 + 5.89479i −0.0178671 + 0.227396i
\(673\) 32.8145 + 9.63521i 1.26491 + 0.371410i 0.844318 0.535842i \(-0.180006\pi\)
0.420588 + 0.907252i \(0.361824\pi\)
\(674\) 0.0386441 + 0.0601314i 0.00148852 + 0.00231618i
\(675\) −3.84862 + 1.75761i −0.148133 + 0.0676503i
\(676\) 9.34098 + 10.7801i 0.359268 + 0.414618i
\(677\) 23.6920 + 15.2259i 0.910557 + 0.585180i 0.909903 0.414820i \(-0.136155\pi\)
0.000653966 1.00000i \(0.499792\pi\)
\(678\) 0.0429221 0.298530i 0.00164841 0.0114650i
\(679\) 30.4044 16.3264i 1.16681 0.626548i
\(680\) −12.5841 8.08732i −0.482579 0.310134i
\(681\) −2.71397 + 2.35167i −0.104000 + 0.0901162i
\(682\) 2.16325 + 4.73687i 0.0828353 + 0.181384i
\(683\) −20.6531 + 13.2729i −0.790268 + 0.507875i −0.872427 0.488745i \(-0.837455\pi\)
0.0821586 + 0.996619i \(0.473819\pi\)
\(684\) −3.58130 1.05156i −0.136934 0.0402076i
\(685\) 14.6600 + 12.7030i 0.560131 + 0.485356i
\(686\) 2.87357 2.05826i 0.109714 0.0785847i
\(687\) 14.1286 + 6.45230i 0.539039 + 0.246171i
\(688\) −9.33468 + 1.34212i −0.355881 + 0.0511680i
\(689\) −21.8960 −0.834172
\(690\) 2.52036 1.17530i 0.0959483 0.0447430i
\(691\) 41.5705i 1.58142i −0.612192 0.790709i \(-0.709712\pi\)
0.612192 0.790709i \(-0.290288\pi\)
\(692\) −10.7050 + 1.53914i −0.406943 + 0.0585095i
\(693\) −1.69311 8.05458i −0.0643158 0.305968i
\(694\) 4.36418 1.28144i 0.165662 0.0486428i
\(695\) −19.4882 16.8866i −0.739228 0.640545i
\(696\) −1.22004 + 4.15508i −0.0462456 + 0.157498i
\(697\) −23.1777 36.0652i −0.877917 1.36607i
\(698\) 1.97713 0.902925i 0.0748355 0.0341762i
\(699\) −3.12657 + 2.70918i −0.118258 + 0.102471i
\(700\) 1.41430 + 21.9349i 0.0534555 + 0.829060i
\(701\) 22.3557 + 3.21426i 0.844362 + 0.121401i 0.550902 0.834570i \(-0.314284\pi\)
0.293461 + 0.955971i \(0.405193\pi\)
\(702\) 0.0650494 0.452429i 0.00245513 0.0170758i
\(703\) −8.59771 + 13.3783i −0.324269 + 0.504572i
\(704\) 16.7841 14.5435i 0.632576 0.548130i
\(705\) −5.93441 12.9946i −0.223503 0.489403i
\(706\) −1.17759 1.83237i −0.0443193 0.0689622i
\(707\) −22.8409 + 8.33725i −0.859020 + 0.313554i
\(708\) 3.87431 4.47119i 0.145606 0.168038i
\(709\) −2.23064 7.59688i −0.0837736 0.285307i 0.906942 0.421255i \(-0.138410\pi\)
−0.990716 + 0.135948i \(0.956592\pi\)
\(710\) −1.80985 + 3.96302i −0.0679224 + 0.148729i
\(711\) −15.0819 + 2.16845i −0.565616 + 0.0813233i
\(712\) −3.90534 −0.146359
\(713\) 12.1710 + 40.2641i 0.455807 + 1.50790i
\(714\) 2.64473 1.95103i 0.0989764 0.0730155i
\(715\) −3.22143 22.4055i −0.120475 0.837919i
\(716\) −7.83889 + 17.1648i −0.292953 + 0.641478i
\(717\) −0.541767 1.84509i −0.0202327 0.0689061i
\(718\) 2.04305 + 1.77031i 0.0762458 + 0.0660674i
\(719\) −7.42067 + 25.2725i −0.276744 + 0.942504i 0.697420 + 0.716663i \(0.254331\pi\)
−0.974164 + 0.225841i \(0.927487\pi\)
\(720\) 9.66854 6.21359i 0.360325 0.231567i
\(721\) 22.0788 39.7687i 0.822256 1.48106i
\(722\) −1.92307 2.21935i −0.0715694 0.0825955i
\(723\) −4.00609 + 6.23359i −0.148988 + 0.231830i
\(724\) 0.249901 1.73810i 0.00928748 0.0645959i
\(725\) −3.44698 + 23.9743i −0.128018 + 0.890382i
\(726\) −0.136454 + 0.212327i −0.00506429 + 0.00788019i
\(727\) −0.216206 0.249515i −0.00801865 0.00925401i 0.751726 0.659475i \(-0.229222\pi\)
−0.759745 + 0.650221i \(0.774676\pi\)
\(728\) −4.19072 2.32660i −0.155318 0.0862294i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −0.190285 + 0.648052i −0.00704277 + 0.0239855i
\(731\) 12.2629 + 10.6259i 0.453560 + 0.393012i
\(732\) −0.108284 0.368781i −0.00400229 0.0136305i
\(733\) −14.5201 + 31.7946i −0.536312 + 1.17436i 0.426574 + 0.904452i \(0.359720\pi\)
−0.962886 + 0.269907i \(0.913007\pi\)
\(734\) −0.762107 5.30057i −0.0281299 0.195648i
\(735\) −20.3202 6.27739i −0.749523 0.231545i
\(736\) −8.97034 + 5.86613i −0.330651 + 0.216229i
\(737\) 37.8539 1.39437
\(738\) −1.24433 + 0.178908i −0.0458044 + 0.00658568i
\(739\) −1.70501 + 3.73345i −0.0627198 + 0.137337i −0.938396 0.345561i \(-0.887689\pi\)
0.875677 + 0.482898i \(0.160416\pi\)
\(740\) −14.0615 47.8890i −0.516910 1.76043i
\(741\) 2.98121 3.44050i 0.109517 0.126390i
\(742\) −4.33674 + 1.58297i −0.159207 + 0.0581128i
\(743\) 7.79059 + 12.1224i 0.285809 + 0.444728i 0.954238 0.299048i \(-0.0966692\pi\)
−0.668429 + 0.743776i \(0.733033\pi\)
\(744\) −2.75621 6.03525i −0.101047 0.221263i
\(745\) −10.9634 + 9.49980i −0.401666 + 0.348046i
\(746\) −0.986469 + 1.53498i −0.0361172 + 0.0561994i
\(747\) −1.63681 + 11.3843i −0.0598879 + 0.416529i
\(748\) −39.3524 5.65802i −1.43886 0.206878i
\(749\) 49.7643 3.20866i 1.81835 0.117242i
\(750\) 0.337015 0.292025i 0.0123060 0.0106632i
\(751\) −12.3963 + 5.66118i −0.452346 + 0.206579i −0.628542 0.777776i \(-0.716348\pi\)
0.176196 + 0.984355i \(0.443621\pi\)
\(752\) 9.61593 + 14.9627i 0.350657 + 0.545633i
\(753\) −5.11160 + 17.4085i −0.186277 + 0.634402i
\(754\) −1.97752 1.71353i −0.0720169 0.0624030i
\(755\) −3.19212 + 0.937292i −0.116173 + 0.0341116i
\(756\) 1.06868 + 5.08402i 0.0388676 + 0.184904i
\(757\) 4.40815 0.633796i 0.160217 0.0230357i −0.0617396 0.998092i \(-0.519665\pi\)
0.221956 + 0.975057i \(0.428756\pi\)
\(758\) 6.23476i 0.226457i
\(759\) 9.68012 11.3525i 0.351366 0.412069i
\(760\) −4.36881 −0.158473
\(761\) 13.0811 1.88077i 0.474188 0.0681779i 0.0989220 0.995095i \(-0.468461\pi\)
0.375266 + 0.926917i \(0.377551\pi\)
\(762\) 0.0835425 + 0.0381526i 0.00302643 + 0.00138212i
\(763\) −21.5082 + 28.3156i −0.778650 + 1.02509i
\(764\) 32.6729 + 28.3112i 1.18206 + 1.02427i
\(765\) −18.9736 5.57114i −0.685991 0.201425i
\(766\) 4.62137 2.96997i 0.166977 0.107310i
\(767\) 2.99759 + 6.56381i 0.108237 + 0.237005i
\(768\) −9.94938 + 8.62118i −0.359017 + 0.311090i
\(769\) 4.76841 + 3.06447i 0.171953 + 0.110508i 0.623787 0.781595i \(-0.285593\pi\)
−0.451833 + 0.892102i \(0.649230\pi\)
\(770\) −2.25785 4.20476i −0.0813671 0.151529i
\(771\) 2.45893 17.1022i 0.0885561 0.615921i
\(772\) 39.7056 + 25.5173i 1.42904 + 0.918386i
\(773\) 7.30555 +