Properties

Label 483.2.r.a.181.18
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 181.18
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0271614 + 0.188911i) q^{2} +(0.909632 + 0.415415i) q^{3} +(1.88404 - 0.553203i) q^{4} +(-1.98963 + 2.29616i) q^{5} +(-0.0537698 + 0.183123i) q^{6} +(0.170237 - 2.64027i) q^{7} +(0.314247 + 0.688104i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(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} +(0.170237 - 2.64027i) 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} +(0.503401 - 0.0395536i) 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} +(1.25166 - 2.33095i) 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} +(-1.13987 - 5.06854i) 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} +(5.72376 + 5.64405i) 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} +(0.474341 + 0.173141i) 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} +(-6.94204 - 0.898944i) 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} +(1.87028 - 0.712555i) 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} +(2.10686 - 1.60035i) 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} +(1.69311 - 8.05458i) 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} +(1.06868 - 5.08402i) 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} +(-0.0187345 - 1.33585i) 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 \(0.465021\pi\)
−0.999459 + 0.0329041i \(0.989524\pi\)
\(6\) −0.0537698 + 0.183123i −0.0219514 + 0.0747597i
\(7\) 0.170237 2.64027i 0.0643436 0.997928i
\(8\) 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 −0.973058 0.230559i \(-0.925944\pi\)
0.613947 + 0.789347i \(0.289581\pi\)
\(14\) 0.503401 0.0395536i 0.134540 0.0105711i
\(15\) −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 0.930300 0.366800i \(-0.119547\pi\)
0.584311 + 0.811530i \(0.301365\pi\)
\(18\) −0.124983 + 0.144238i −0.0294587 + 0.0339972i
\(19\) 1.82387 0.535536i 0.418424 0.122860i −0.0657418 0.997837i \(-0.520941\pi\)
0.484166 + 0.874976i \(0.339123\pi\)
\(20\) −2.47830 + 5.42671i −0.554164 + 1.21345i
\(21\) 1.25166 2.33095i 0.273135 0.508656i
\(22\) 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
\(28\) −1.13987 5.06854i −0.215415 0.957864i
\(29\) −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 −0.972416 0.233252i \(-0.925063\pi\)
−0.460517 + 0.887651i \(0.652336\pi\)
\(32\) 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
\(35\) 5.72376 + 5.64405i 0.967492 + 0.954019i
\(36\) 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 0.172880 0.984943i \(-0.444693\pi\)
−0.950314 + 0.311292i \(0.899238\pi\)
\(42\) 0.474341 + 0.173141i 0.0731924 + 0.0267162i
\(43\) −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 \(-0.888584\pi\)
0.939365 0.342920i \(-0.111416\pi\)
\(48\) 3.74427 0.538345i 0.540439 0.0777034i
\(49\) −6.94204 0.898944i −0.991720 0.128421i
\(50\) 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
\(56\) 1.87028 0.712555i 0.249926 0.0952191i
\(57\) 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 −0.718879 0.695135i \(-0.755345\pi\)
0.930950 + 0.365146i \(0.118981\pi\)
\(60\) −4.50867 + 3.90679i −0.582067 + 0.504364i
\(61\) −0.0813133 0.178051i −0.0104111 0.0227971i 0.904355 0.426781i \(-0.140352\pi\)
−0.914766 + 0.403984i \(0.867625\pi\)
\(62\) −0.905006 1.40822i −0.114936 0.178844i
\(63\) 2.10686 1.60035i 0.265440 0.201625i
\(64\) 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 0.938057 0.346480i \(-0.112623\pi\)
−0.976465 + 0.215675i \(0.930805\pi\)
\(74\) 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
\(77\) 1.69311 8.05458i 0.192947 0.917905i
\(78\) −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 0.172803 0.984956i \(-0.444718\pi\)
−0.999523 + 0.0308699i \(0.990172\pi\)
\(84\) 1.06868 5.08402i 0.116603 0.554712i
\(85\) −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 −0.761254 0.648454i \(-0.775416\pi\)
0.988584 + 0.150670i \(0.0481432\pi\)
\(90\) −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 \(-0.542352\pi\)
0.999952 0.00974770i \(-0.00310284\pi\)
\(98\) −0.0187345 1.33585i −0.00189247 0.134941i
\(99\) 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 −0.927950 0.372704i \(-0.878431\pi\)
0.236850 + 0.971546i \(0.423885\pi\)
\(102\) −0.671574 + 1.04499i −0.0664957 + 0.103469i
\(103\) 2.44672 17.0173i 0.241082 1.67676i −0.405636 0.914035i \(-0.632950\pi\)
0.646718 0.762729i \(-0.276141\pi\)
\(104\) −1.79323 0.257828i −0.175841 0.0252821i
\(105\) 2.86189 + 7.51175i 0.279292 + 0.733071i
\(106\) 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
\(112\) −4.85793 8.75021i −0.459031 0.826817i
\(113\) 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
\(119\) 5.90449 16.1761i 0.541264 1.48286i
\(120\) −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
\(126\) 0.359550 + 0.354543i 0.0320313 + 0.0315852i
\(127\) −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 0.590020 0.807389i \(-0.299120\pi\)
−0.979530 + 0.201299i \(0.935484\pi\)
\(132\) 5.86101 + 1.72095i 0.510135 + 0.149789i
\(133\) −1.10347 4.90667i −0.0956828 0.425462i
\(134\) 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 \(0.117203\pi\)
−0.932975 + 0.359942i \(0.882797\pi\)
\(140\) 13.9061 + 7.46720i 1.17528 + 0.631093i
\(141\) 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
\(147\) −5.94127 3.70153i −0.490027 0.305297i
\(148\) 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
\(154\) 1.56759 + 0.101074i 0.126320 + 0.00814476i
\(155\) 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 −0.827562 0.561374i \(-0.810273\pi\)
−0.392688 + 0.919672i \(0.628455\pi\)
\(158\) −2.64525 1.20805i −0.210445 0.0961070i
\(159\) −1.30114 9.04962i −0.103187 0.717681i
\(160\) −6.79014 −0.536808
\(161\) 12.4376 + 2.51139i 0.980217 + 0.197926i
\(162\) −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 \(0.249585\pi\)
−0.977423 + 0.211290i \(0.932233\pi\)
\(168\) 1.99727 + 0.128778i 0.154093 + 0.00993546i
\(169\) 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 0.346406 0.938085i \(-0.387402\pi\)
0.0680853 + 0.997680i \(0.478311\pi\)
\(174\) 0.590690 0.919131i 0.0447801 0.0696791i
\(175\) −11.1597 + 0.876847i −0.843593 + 0.0662834i
\(176\) 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 −0.922936 0.384954i \(-0.874217\pi\)
0.895323 + 0.445417i \(0.146945\pi\)
\(182\) −0.572110 + 1.06543i −0.0424076 + 0.0789753i
\(183\) 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
\(189\) 2.58128 0.580508i 0.187761 0.0422258i
\(190\) −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
\(196\) −13.5764 + 2.14671i −0.969739 + 0.153337i
\(197\) 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 \(0.0434267\pi\)
−0.545989 + 0.837792i \(0.683846\pi\)
\(200\) 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
\(203\) −5.19335 + 14.2278i −0.364502 + 0.998597i
\(204\) 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
\(210\) −1.34132 + 0.744673i −0.0925600 + 0.0513874i
\(211\) −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
\(217\) 8.26173 + 21.6849i 0.560843 + 1.47207i
\(218\) 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 0.719025 0.694985i \(-0.244589\pi\)
−0.930874 + 0.365341i \(0.880952\pi\)
\(224\) 4.70860 3.57660i 0.314607 0.238972i
\(225\) 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 −0.952656 0.304049i \(-0.901661\pi\)
0.853642 + 0.520860i \(0.174389\pi\)
\(228\) 3.69450 0.531189i 0.244674 0.0351788i
\(229\) 15.5322 1.02640 0.513198 0.858270i \(-0.328461\pi\)
0.513198 + 0.858270i \(0.328461\pi\)
\(230\) 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
\(238\) 3.21622 + 0.676062i 0.208476 + 0.0438226i
\(239\) 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 \(0.122161\pi\)
−0.995184 + 0.0980246i \(0.968748\pi\)
\(242\) 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
\(245\) 15.8762 14.1514i 1.01429 0.904102i
\(246\) 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 \(0.148612\pi\)
−0.729999 + 0.683449i \(0.760479\pi\)
\(252\) 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 \(-0.909754\pi\)
0.656432 0.754385i \(-0.272065\pi\)
\(258\) 0.311589 0.359593i 0.0193987 0.0223873i
\(259\) −13.3887 17.6262i −0.831933 1.09524i
\(260\) −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
\(266\) 0.896954 0.341730i 0.0549958 0.0209528i
\(267\) 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 0.690377 0.723450i \(-0.257445\pi\)
−0.944866 + 0.327457i \(0.893808\pi\)
\(270\) 0.163366 0.556374i 0.00994214 0.0338598i
\(271\) −21.5391 18.6637i −1.30841 1.13374i −0.982076 0.188486i \(-0.939642\pi\)
−0.326332 0.945255i \(-0.605813\pi\)
\(272\) 23.6230 6.93635i 1.43236 0.420578i
\(273\) 3.07562 + 5.53987i 0.186145 + 0.335288i
\(274\) −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
\(280\) −2.08502 + 5.71217i −0.124604 + 0.341367i
\(281\) −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 −0.587987 0.808871i \(-0.700079\pi\)
0.491516 + 0.870868i \(0.336443\pi\)
\(284\) 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
\(287\) −12.2362 + 12.4090i −0.722277 + 0.732478i
\(288\) −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 0.586513 0.809940i \(-0.300500\pi\)
0.0555192 + 0.998458i \(0.482319\pi\)
\(294\) 0.537889 1.22291i 0.0313703 0.0713217i
\(295\) 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
\(301\) −3.12046 + 5.81120i −0.179860 + 0.334952i
\(302\) 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 −0.264170 0.964476i \(-0.585098\pi\)
0.555908 + 0.831244i \(0.312371\pi\)
\(308\) −1.26594 16.1118i −0.0721339 0.918052i
\(309\) 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 0.387865 0.921716i \(-0.373213\pi\)
0.112476 + 0.993654i \(0.464122\pi\)
\(312\) −1.52408 0.979465i −0.0862839 0.0554513i
\(313\) 20.8631 + 24.0773i 1.17925 + 1.36093i 0.918450 + 0.395536i \(0.129441\pi\)
0.260801 + 0.965393i \(0.416013\pi\)
\(314\) −1.26340 2.76646i −0.0712977 0.156120i
\(315\) −0.517223 + 8.02180i −0.0291422 + 0.451977i
\(316\) −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
\(322\) −0.136610 + 2.41781i −0.00761296 + 0.134739i
\(323\) 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
\(329\) −12.4142 0.800435i −0.684419 0.0441294i
\(330\) −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
\(336\) −0.783961 9.97753i −0.0427686 0.544319i
\(337\) 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
\(343\) −3.55525 + 18.1758i −0.191965 + 0.981402i
\(344\) 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 \(0.00768300\pi\)
−0.827960 + 0.560787i \(0.810499\pi\)
\(350\) −0.468759 2.08438i −0.0250562 0.111415i
\(351\) −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 −0.119522 0.992832i \(-0.538136\pi\)
0.672062 + 0.740495i \(0.265409\pi\)
\(354\) 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
\(357\) 12.0907 12.2614i 0.639907 0.648944i
\(358\) −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
\(364\) 11.6877 + 4.26617i 0.612601 + 0.223608i
\(365\) 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 \(-0.238437\pi\)
0.732321 + 0.680960i \(0.238437\pi\)
\(368\) 7.66717 + 16.4417i 0.399679 + 0.857084i
\(369\) 6.58685i 0.342898i
\(370\) −4.80180 + 0.690395i −0.249634 + 0.0358919i
\(371\) −21.1486 + 11.7413i −1.09798 + 0.609575i
\(372\) −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
\(378\) 0.179776 + 0.471866i 0.00924667 + 0.0242702i
\(379\) −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 \(0.126634\pi\)
−0.310926 + 0.950434i \(0.600639\pi\)
\(384\) 3.15317 + 4.90643i 0.160910 + 0.250380i
\(385\) 15.1259 + 19.9133i 0.770888 + 1.01487i
\(386\) −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 \(-0.774172\pi\)
0.990457 0.137822i \(-0.0440103\pi\)
\(398\) −2.42470 + 1.55826i −0.121539 + 0.0781085i
\(399\) 1.03455 4.92166i 0.0517924 0.246391i
\(400\) −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
\(406\) −2.82885 0.594637i −0.140394 0.0295113i
\(407\) 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 0.960825 0.277156i \(-0.0893920\pi\)
−0.137596 + 0.990488i \(0.543937\pi\)
\(410\) 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 −0.816327 0.577590i \(-0.803993\pi\)
0.687887 + 0.725818i \(0.258539\pi\)
\(420\) 9.54743 + 12.5692i 0.465867 + 0.613314i
\(421\) 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
\(427\) −0.483946 + 0.184378i −0.0234198 + 0.00892268i
\(428\) −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 −0.808542 0.588438i \(-0.799743\pi\)
−0.362055 + 0.932157i \(0.617925\pi\)
\(434\) −3.87214 + 2.14973i −0.185868 + 0.103190i
\(435\) 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 0.211994 0.977271i \(-0.432004\pi\)
0.478736 + 0.877959i \(0.341095\pi\)
\(440\) −6.50370 2.97014i −0.310052 0.141596i
\(441\) −3.86669 5.83513i −0.184128 0.277863i
\(442\) −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
\(448\) −13.4492 13.2619i −0.635414 0.626566i
\(449\) 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
\(455\) −18.7824 + 4.22400i −0.880532 + 0.198024i
\(456\) 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 \(-0.854319\pi\)
0.897084 0.441860i \(-0.145681\pi\)
\(462\) 1.38394 + 0.743140i 0.0643868 + 0.0345740i
\(463\) −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 0.155918 0.987770i \(-0.450166\pi\)
0.963278 + 0.268507i \(0.0865301\pi\)
\(468\) −4.27765 + 1.95354i −0.197734 + 0.0903022i
\(469\) −2.52181 32.0952i −0.116446 1.48202i
\(470\) −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
\(476\) 2.17563 33.7426i 0.0997199 1.54659i
\(477\) 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 0.0370067 0.999315i \(-0.488218\pi\)
0.571402 + 0.820670i \(0.306400\pi\)
\(480\) −6.17653 2.82073i −0.281919 0.128748i
\(481\) 2.85144 + 19.8322i 0.130015 + 0.904272i
\(482\) −1.41421 −0.0644153
\(483\) 10.2703 + 7.45119i 0.467316 + 0.339041i
\(484\) −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
\(490\) 3.10459 + 2.61482i 0.140251 + 0.118126i
\(491\) 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
\(497\) 19.8175 1.55711i 0.888934 0.0698460i
\(498\) 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 \(0.319248\pi\)
−0.989339 + 0.145629i \(0.953480\pi\)
\(504\) 1.76328 + 0.946836i 0.0785429 + 0.0421754i
\(505\) 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 0.543210 0.839597i \(-0.317209\pi\)
−0.278798 + 0.960350i \(0.589936\pi\)
\(510\) −1.06327 3.62118i −0.0470826 0.160349i
\(511\) −3.00662 + 0.676163i −0.133005 + 0.0299117i
\(512\) 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
\(518\) 2.96614 3.00803i 0.130325 0.132165i
\(519\) 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 0.960303 0.278960i \(-0.0899897\pi\)
−0.839688 + 0.543069i \(0.817262\pi\)
\(522\) 0.919131 0.590690i 0.0402293 0.0258538i
\(523\) −35.4685 10.4145i −1.55093 0.455394i −0.609552 0.792746i \(-0.708651\pi\)
−0.941379 + 0.337352i \(0.890469\pi\)
\(524\) −12.2369 10.6033i −0.534571 0.463208i
\(525\) −10.5155 3.83829i −0.458932 0.167517i
\(526\) 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
\(532\) −4.79336 8.63390i −0.207818 0.374327i
\(533\) 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
\(539\) −20.9780 5.84145i −0.903588 0.251609i
\(540\) −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
\(546\) −0.963007 + 0.731490i −0.0412129 + 0.0313049i
\(547\) −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
\(560\) 29.7573 + 6.25512i 1.25748 + 0.264327i
\(561\) 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 \(-0.758711\pi\)
0.890465 0.455053i \(-0.150380\pi\)
\(564\) 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
\(567\) 2.58917 + 0.544254i 0.108735 + 0.0228565i
\(568\) −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 0.115955 0.993255i \(-0.463007\pi\)
0.391090 + 0.920353i \(0.372098\pi\)
\(578\) −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
\(581\) −24.2318 + 18.4062i −1.00530 + 0.763618i
\(582\) 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 0.429566 0.903035i \(-0.358666\pi\)
0.157751 + 0.987479i \(0.449576\pi\)
\(588\) −13.2413 3.68710i −0.546060 0.152053i
\(589\) −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 \(0.0141404\pi\)
0.186131 + 0.982525i \(0.440405\pi\)
\(594\) −0.569674 + 0.167271i −0.0233740 + 0.00686322i
\(595\) 25.3950 + 45.7420i 1.04109 + 1.87524i
\(596\) −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 0.210322 0.977632i \(-0.432549\pi\)
−0.601113 + 0.799164i \(0.705276\pi\)
\(602\) −1.18256 0.431651i −0.0481975 0.0175928i
\(603\) 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 −0.897150 0.441726i \(-0.854366\pi\)
0.309552 + 0.950883i \(0.399821\pi\)
\(608\) 3.57383 + 2.29676i 0.144938 + 0.0931459i
\(609\) −10.6345 + 10.7847i −0.430931 + 0.437017i
\(610\) −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
\(616\) 6.07444 1.36609i 0.244746 0.0550414i
\(617\) 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 \(0.234256\pi\)
−0.522057 + 0.852910i \(0.674835\pi\)
\(620\) 52.3253i 2.10144i
\(621\) −4.74144 + 0.720219i −0.190268 + 0.0289014i
\(622\) 1.70134i 0.0682174i
\(623\) −12.0338 6.46185i −0.482125 0.258888i
\(624\) −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
\(630\) −1.52946 + 0.120174i −0.0609351 + 0.00478783i
\(631\) −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
\(637\) 10.7996 12.8224i 0.427898 0.508044i
\(638\) 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 \(-0.537411\pi\)
−0.117261 + 0.993101i \(0.537411\pi\)
\(644\) 24.8221 2.14894i 0.978129 0.0846801i
\(645\) 7.57453 0.298247
\(646\) 0.336037 + 2.33719i 0.0132212 + 0.0919554i
\(647\) 4.29049 + 1.95940i 0.168677 + 0.0770321i 0.497964 0.867198i \(-0.334081\pi\)
−0.329287 + 0.944230i \(0.606808\pi\)
\(648\) −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
\(651\) −1.49312 + 23.1574i −0.0585201 + 0.907609i
\(652\) −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
\(658\) −0.185976 2.36693i −0.00725011 0.0922726i
\(659\) −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 0.869485 0.493960i \(-0.164451\pi\)
0.464402 + 0.885625i \(0.346269\pi\)
\(662\) −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
\(665\) 13.4620 + 7.22872i 0.522033 + 0.280318i
\(666\) 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
\(672\) 5.76887 1.29737i 0.222539 0.0500471i
\(673\) 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 −0.000653966 1.00000i \(-0.500208\pi\)
−0.909903 + 0.414820i \(0.863845\pi\)
\(678\) −0.0429221 + 0.298530i −0.00164841 + 0.0114650i
\(679\) −24.5731 24.2309i −0.943031 0.929898i
\(680\) −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
\(686\) −3.53018 0.177947i −0.134783 0.00679403i
\(687\) 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 \(0.290288\pi\)
−0.612192 + 0.790709i \(0.709712\pi\)
\(692\) 10.7050 1.53914i 0.406943 0.0585095i
\(693\) 7.19600 3.99506i 0.273353 0.151760i
\(694\) 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
\(700\) −20.5402 + 7.82558i −0.776346 + 0.295779i
\(701\) 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
\(707\) 14.7075 + 19.3625i 0.553133 + 0.728200i
\(708\) 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 \(-0.745669\pi\)
0.974164 0.225841i \(-0.0725131\pi\)
\(720\) −9.66854 + 6.21359i −0.360325 + 0.231567i
\(721\) −44.5137 9.35697i −1.65778 0.348472i
\(722\) −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 0.759745 0.650221i \(-0.225324\pi\)
−0.751726 + 0.659475i \(0.770778\pi\)
\(728\) −0.986011 + 4.69073i −0.0365440 + 0.173850i
\(729\) −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 \(-0.640280\pi\)
0.962886 0.269907i \(-0.0869930\pi\)
\(734\) 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
\(742\) −2.79248 3.67630i −0.102515 0.134961i
\(743\) 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
\(749\) 17.7541 + 46.6001i 0.648722 + 1.70273i
\(750\) 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
\(756\) 4.54209 2.52167i 0.165194 0.0917123i
\(757\) 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 −0.375266 0.926917i \(-0.622449\pi\)
−0.0989220 + 0.995095i \(0.531539\pi\)
\(762\) −0.0835425 0.0381526i −0.00302643 0.00138212i
\(763\) −33.4024 12.1924i −1.20925 0.441393i
\(764\) 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 0.451833 0.892102i \(-0.350770\pi\)
−0.623787 + 0.781595i \(0.714407\pi\)
\(770\) −3.35101 + 3.39833i −0.120762 + 0.122467i
\(771\) 2.45893 17.1022i 0.0885561 0.615921i
\(772\) 39.7056 + 25.5173i 1.42904 + 0.918386i
\(773\) −7.30555