Properties

Label 483.2.bf.a.10.19
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.19
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0597980 - 0.172775i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(1.54583 + 1.21565i) q^{4} +(0.371368 - 0.0354614i) q^{5} +(-0.180970 + 0.0260195i) q^{6} +(1.77822 + 1.95906i) q^{7} +(0.610086 - 0.392079i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(0.0597980 - 0.172775i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(1.54583 + 1.21565i) q^{4} +(0.371368 - 0.0354614i) q^{5} +(-0.180970 + 0.0260195i) q^{6} +(1.77822 + 1.95906i) q^{7} +(0.610086 - 0.392079i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.0160803 - 0.0662837i) q^{10} +(-1.61290 + 0.558230i) q^{11} +(0.372176 - 1.93103i) q^{12} +(0.569775 + 1.94048i) q^{13} +(0.444811 - 0.190084i) q^{14} +(-0.201690 - 0.313836i) q^{15} +(0.896015 + 3.69342i) q^{16} +(2.98733 + 1.19595i) q^{17} +(0.106052 + 0.148929i) q^{18} +(2.99121 - 1.19750i) q^{19} +(0.617181 + 0.396638i) q^{20} +(0.926455 - 2.47824i) q^{21} +0.312050i q^{22} +(-4.78734 + 0.285253i) q^{23} +(-0.628051 - 0.362606i) q^{24} +(-4.77299 + 0.919918i) q^{25} +(0.369338 + 0.0175937i) q^{26} +(0.989821 + 0.142315i) q^{27} +(0.367287 + 5.19008i) q^{28} +(-0.973820 - 6.77307i) q^{29} +(-0.0662837 + 0.0160803i) q^{30} +(5.44621 - 0.259435i) q^{31} +(2.13557 + 0.203922i) q^{32} +(1.23525 + 1.17781i) q^{33} +(0.385266 - 0.444621i) q^{34} +(0.729846 + 0.664475i) q^{35} +(-1.88691 + 0.554048i) q^{36} +(0.565141 + 0.402435i) q^{37} +(-0.0280297 - 0.588415i) q^{38} +(1.46368 - 1.39561i) q^{39} +(0.212663 - 0.167240i) q^{40} +(8.65337 + 3.95186i) q^{41} +(-0.372778 - 0.308262i) q^{42} +(4.14455 - 6.44904i) q^{43} +(-3.17189 - 1.09780i) q^{44} +(-0.186529 + 0.323077i) q^{45} +(-0.236989 + 0.844191i) q^{46} +(7.90512 - 4.56403i) q^{47} +(2.87227 - 2.48883i) q^{48} +(-0.675851 + 6.96730i) q^{49} +(-0.126476 + 0.879663i) q^{50} +(-0.305874 - 3.20326i) q^{51} +(-1.47817 + 3.69230i) q^{52} +(-0.377392 - 0.395797i) q^{53} +(0.0837779 - 0.162506i) q^{54} +(-0.579184 + 0.264505i) q^{55} +(1.85298 + 0.497994i) q^{56} +(-2.43503 - 2.10997i) q^{57} +(-1.22845 - 0.236764i) q^{58} +(-12.6913 - 3.07887i) q^{59} +(0.0697374 - 0.730323i) q^{60} +(-8.23463 - 4.24525i) q^{61} +(0.280849 - 0.956483i) q^{62} +(-2.62728 + 0.312129i) q^{63} +(-2.99468 + 6.55743i) q^{64} +(0.280408 + 0.700426i) q^{65} +(0.277361 - 0.142990i) q^{66} +(-0.485259 - 2.51776i) q^{67} +(3.16405 + 5.48029i) q^{68} +(2.44723 + 4.12445i) q^{69} +(0.158448 - 0.0863650i) q^{70} +(-4.91100 - 5.66759i) q^{71} +(-0.0345069 + 0.724390i) q^{72} +(2.21802 - 2.82044i) q^{73} +(0.103325 - 0.0735775i) q^{74} +(3.00476 + 3.82087i) q^{75} +(6.07966 + 1.78515i) q^{76} +(-3.96170 - 2.16711i) q^{77} +(-0.153602 - 0.336342i) q^{78} +(-7.02535 + 7.36797i) q^{79} +(0.463725 + 1.33985i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(1.20024 - 1.25877i) q^{82} +(-3.25835 - 7.13480i) q^{83} +(4.44483 - 2.70469i) q^{84} +(1.15181 + 0.338202i) q^{85} +(-0.866398 - 1.10171i) q^{86} +(-5.57391 + 3.96917i) q^{87} +(-0.765138 + 0.972952i) q^{88} +(-0.188278 + 3.95244i) q^{89} +(0.0446657 + 0.0515469i) q^{90} +(-2.78833 + 4.56682i) q^{91} +(-7.74719 - 5.37880i) q^{92} +(-2.72619 - 4.72190i) q^{93} +(-0.315839 - 1.63873i) q^{94} +(1.06838 - 0.550786i) q^{95} +(-0.797320 - 1.99161i) q^{96} +(5.41369 - 11.8543i) q^{97} +(1.16336 + 0.533401i) q^{98} +(0.480853 - 1.63763i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0597980 0.172775i 0.0422836 0.122170i −0.921883 0.387469i \(-0.873349\pi\)
0.964166 + 0.265299i \(0.0854706\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) 1.54583 + 1.21565i 0.772915 + 0.607827i
\(5\) 0.371368 0.0354614i 0.166081 0.0158588i −0.0116843 0.999932i \(-0.503719\pi\)
0.177765 + 0.984073i \(0.443113\pi\)
\(6\) −0.180970 + 0.0260195i −0.0738806 + 0.0106224i
\(7\) 1.77822 + 1.95906i 0.672105 + 0.740456i
\(8\) 0.610086 0.392079i 0.215698 0.138621i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 0.0160803 0.0662837i 0.00508502 0.0209608i
\(11\) −1.61290 + 0.558230i −0.486308 + 0.168313i −0.559209 0.829026i \(-0.688895\pi\)
0.0729018 + 0.997339i \(0.476774\pi\)
\(12\) 0.372176 1.93103i 0.107438 0.557442i
\(13\) 0.569775 + 1.94048i 0.158027 + 0.538191i 0.999999 0.00133003i \(-0.000423360\pi\)
−0.841972 + 0.539521i \(0.818605\pi\)
\(14\) 0.444811 0.190084i 0.118881 0.0508022i
\(15\) −0.201690 0.313836i −0.0520762 0.0810321i
\(16\) 0.896015 + 3.69342i 0.224004 + 0.923356i
\(17\) 2.98733 + 1.19595i 0.724533 + 0.290059i 0.704465 0.709739i \(-0.251187\pi\)
0.0200689 + 0.999799i \(0.493611\pi\)
\(18\) 0.106052 + 0.148929i 0.0249967 + 0.0351030i
\(19\) 2.99121 1.19750i 0.686231 0.274726i −0.00223115 0.999998i \(-0.500710\pi\)
0.688463 + 0.725272i \(0.258286\pi\)
\(20\) 0.617181 + 0.396638i 0.138006 + 0.0886910i
\(21\) 0.926455 2.47824i 0.202169 0.540797i
\(22\) 0.312050i 0.0665293i
\(23\) −4.78734 + 0.285253i −0.998230 + 0.0594793i
\(24\) −0.628051 0.362606i −0.128200 0.0740166i
\(25\) −4.77299 + 0.919918i −0.954597 + 0.183984i
\(26\) 0.369338 + 0.0175937i 0.0724331 + 0.00345041i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 0.367287 + 5.19008i 0.0694108 + 0.980834i
\(29\) −0.973820 6.77307i −0.180834 1.25773i −0.854797 0.518962i \(-0.826319\pi\)
0.673963 0.738765i \(-0.264591\pi\)
\(30\) −0.0662837 + 0.0160803i −0.0121017 + 0.00293584i
\(31\) 5.44621 0.259435i 0.978168 0.0465959i 0.447596 0.894236i \(-0.352280\pi\)
0.530572 + 0.847640i \(0.321977\pi\)
\(32\) 2.13557 + 0.203922i 0.377518 + 0.0360486i
\(33\) 1.23525 + 1.17781i 0.215029 + 0.205030i
\(34\) 0.385266 0.444621i 0.0660726 0.0762518i
\(35\) 0.729846 + 0.664475i 0.123367 + 0.112317i
\(36\) −1.88691 + 0.554048i −0.314485 + 0.0923413i
\(37\) 0.565141 + 0.402435i 0.0929086 + 0.0661599i 0.625567 0.780170i \(-0.284868\pi\)
−0.532659 + 0.846330i \(0.678807\pi\)
\(38\) −0.0280297 0.588415i −0.00454701 0.0954536i
\(39\) 1.46368 1.39561i 0.234376 0.223477i
\(40\) 0.212663 0.167240i 0.0336250 0.0264430i
\(41\) 8.65337 + 3.95186i 1.35143 + 0.617177i 0.953820 0.300377i \(-0.0971126\pi\)
0.397609 + 0.917555i \(0.369840\pi\)
\(42\) −0.372778 0.308262i −0.0575209 0.0475659i
\(43\) 4.14455 6.44904i 0.632037 0.983469i −0.366553 0.930397i \(-0.619462\pi\)
0.998591 0.0530723i \(-0.0169014\pi\)
\(44\) −3.17189 1.09780i −0.478180 0.165500i
\(45\) −0.186529 + 0.323077i −0.0278061 + 0.0481615i
\(46\) −0.236989 + 0.844191i −0.0349421 + 0.124469i
\(47\) 7.90512 4.56403i 1.15308 0.665732i 0.203445 0.979086i \(-0.434786\pi\)
0.949636 + 0.313355i \(0.101453\pi\)
\(48\) 2.87227 2.48883i 0.414576 0.359232i
\(49\) −0.675851 + 6.96730i −0.0965501 + 0.995328i
\(50\) −0.126476 + 0.879663i −0.0178865 + 0.124403i
\(51\) −0.305874 3.20326i −0.0428309 0.448546i
\(52\) −1.47817 + 3.69230i −0.204986 + 0.512030i
\(53\) −0.377392 0.395797i −0.0518388 0.0543669i 0.697304 0.716776i \(-0.254383\pi\)
−0.749143 + 0.662409i \(0.769534\pi\)
\(54\) 0.0837779 0.162506i 0.0114007 0.0221143i
\(55\) −0.579184 + 0.264505i −0.0780972 + 0.0356658i
\(56\) 1.85298 + 0.497994i 0.247614 + 0.0665473i
\(57\) −2.43503 2.10997i −0.322528 0.279472i
\(58\) −1.22845 0.236764i −0.161303 0.0310887i
\(59\) −12.6913 3.07887i −1.65226 0.400834i −0.701972 0.712204i \(-0.747697\pi\)
−0.950289 + 0.311370i \(0.899212\pi\)
\(60\) 0.0697374 0.730323i 0.00900306 0.0942843i
\(61\) −8.23463 4.24525i −1.05434 0.543548i −0.158237 0.987401i \(-0.550581\pi\)
−0.896100 + 0.443853i \(0.853611\pi\)
\(62\) 0.280849 0.956483i 0.0356678 0.121473i
\(63\) −2.62728 + 0.312129i −0.331006 + 0.0393246i
\(64\) −2.99468 + 6.55743i −0.374335 + 0.819679i
\(65\) 0.280408 + 0.700426i 0.0347804 + 0.0868772i
\(66\) 0.277361 0.142990i 0.0341408 0.0176008i
\(67\) −0.485259 2.51776i −0.0592838 0.307593i 0.940168 0.340712i \(-0.110668\pi\)
−0.999451 + 0.0331187i \(0.989456\pi\)
\(68\) 3.16405 + 5.48029i 0.383697 + 0.664583i
\(69\) 2.44723 + 4.12445i 0.294612 + 0.496525i
\(70\) 0.158448 0.0863650i 0.0189382 0.0103226i
\(71\) −4.91100 5.66759i −0.582828 0.672620i 0.385382 0.922757i \(-0.374070\pi\)
−0.968210 + 0.250137i \(0.919524\pi\)
\(72\) −0.0345069 + 0.724390i −0.00406668 + 0.0853701i
\(73\) 2.21802 2.82044i 0.259599 0.330107i −0.638729 0.769431i \(-0.720540\pi\)
0.898329 + 0.439324i \(0.144782\pi\)
\(74\) 0.103325 0.0735775i 0.0120113 0.00855321i
\(75\) 3.00476 + 3.82087i 0.346960 + 0.441196i
\(76\) 6.07966 + 1.78515i 0.697385 + 0.204771i
\(77\) −3.96170 2.16711i −0.451478 0.246966i
\(78\) −0.153602 0.336342i −0.0173920 0.0380833i
\(79\) −7.02535 + 7.36797i −0.790413 + 0.828962i −0.988500 0.151223i \(-0.951679\pi\)
0.198086 + 0.980185i \(0.436527\pi\)
\(80\) 0.463725 + 1.33985i 0.0518461 + 0.149799i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 1.20024 1.25877i 0.132544 0.139008i
\(83\) −3.25835 7.13480i −0.357651 0.783146i −0.999862 0.0166179i \(-0.994710\pi\)
0.642211 0.766528i \(-0.278017\pi\)
\(84\) 4.44483 2.70469i 0.484971 0.295106i
\(85\) 1.15181 + 0.338202i 0.124931 + 0.0366831i
\(86\) −0.866398 1.10171i −0.0934261 0.118801i
\(87\) −5.57391 + 3.96917i −0.597586 + 0.425539i
\(88\) −0.765138 + 0.972952i −0.0815640 + 0.103717i
\(89\) −0.188278 + 3.95244i −0.0199574 + 0.418957i 0.966676 + 0.256002i \(0.0824055\pi\)
−0.986634 + 0.162955i \(0.947898\pi\)
\(90\) 0.0446657 + 0.0515469i 0.00470817 + 0.00543352i
\(91\) −2.78833 + 4.56682i −0.292296 + 0.478733i
\(92\) −7.74719 5.37880i −0.807700 0.560779i
\(93\) −2.72619 4.72190i −0.282693 0.489638i
\(94\) −0.315839 1.63873i −0.0325763 0.169022i
\(95\) 1.06838 0.550786i 0.109613 0.0565095i
\(96\) −0.797320 1.99161i −0.0813761 0.203268i
\(97\) 5.41369 11.8543i 0.549677 1.20363i −0.407255 0.913314i \(-0.633514\pi\)
0.956932 0.290311i \(-0.0937587\pi\)
\(98\) 1.16336 + 0.533401i 0.117517 + 0.0538816i
\(99\) 0.480853 1.63763i 0.0483275 0.164588i
\(100\) −8.49653 4.38027i −0.849653 0.438027i
\(101\) 0.0371664 0.389224i 0.00369820 0.0387293i −0.993434 0.114403i \(-0.963505\pi\)
0.997133 + 0.0756734i \(0.0241106\pi\)
\(102\) −0.571734 0.138701i −0.0566101 0.0137335i
\(103\) −13.7027 2.64099i −1.35017 0.260224i −0.537656 0.843164i \(-0.680690\pi\)
−0.812515 + 0.582940i \(0.801902\pi\)
\(104\) 1.10843 + 0.960462i 0.108691 + 0.0941810i
\(105\) 0.256174 0.953194i 0.0250001 0.0930222i
\(106\) −0.0909512 + 0.0415360i −0.00883396 + 0.00403434i
\(107\) −1.22096 + 2.36833i −0.118035 + 0.228956i −0.940450 0.339932i \(-0.889596\pi\)
0.822415 + 0.568888i \(0.192626\pi\)
\(108\) 1.35709 + 1.42328i 0.130586 + 0.136955i
\(109\) −6.80503 + 16.9981i −0.651804 + 1.62813i 0.120380 + 0.992728i \(0.461589\pi\)
−0.772184 + 0.635399i \(0.780835\pi\)
\(110\) 0.0110657 + 0.115885i 0.00105508 + 0.0110492i
\(111\) 0.0987360 0.686724i 0.00937160 0.0651809i
\(112\) −5.64233 + 8.32308i −0.533150 + 0.786457i
\(113\) −3.82461 + 3.31404i −0.359789 + 0.311759i −0.815932 0.578147i \(-0.803776\pi\)
0.456143 + 0.889906i \(0.349230\pi\)
\(114\) −0.510161 + 0.294541i −0.0477809 + 0.0275863i
\(115\) −1.76775 + 0.275700i −0.164844 + 0.0257091i
\(116\) 6.72835 11.6538i 0.624712 1.08203i
\(117\) −1.91117 0.661462i −0.176688 0.0611521i
\(118\) −1.29086 + 2.00862i −0.118834 + 0.184909i
\(119\) 2.96920 + 7.97902i 0.272186 + 0.731436i
\(120\) −0.246097 0.112389i −0.0224655 0.0102596i
\(121\) −6.35676 + 4.99901i −0.577887 + 0.454456i
\(122\) −1.22589 + 1.16888i −0.110987 + 0.105826i
\(123\) −0.452649 9.50227i −0.0408140 0.856791i
\(124\) 8.73430 + 6.21966i 0.784363 + 0.558542i
\(125\) −3.52964 + 1.03640i −0.315701 + 0.0926982i
\(126\) −0.103178 + 0.472593i −0.00919180 + 0.0421019i
\(127\) 11.8783 13.7083i 1.05403 1.21642i 0.0784175 0.996921i \(-0.475013\pi\)
0.975613 0.219496i \(-0.0704413\pi\)
\(128\) 4.05911 + 3.87035i 0.358778 + 0.342094i
\(129\) −7.63128 0.728699i −0.671896 0.0641583i
\(130\) 0.137784 0.00656347i 0.0120845 0.000575654i
\(131\) −11.3533 + 2.75429i −0.991945 + 0.240643i −0.698716 0.715399i \(-0.746245\pi\)
−0.293229 + 0.956042i \(0.594730\pi\)
\(132\) 0.477678 + 3.32233i 0.0415766 + 0.289171i
\(133\) 7.66502 + 3.73055i 0.664642 + 0.323480i
\(134\) −0.464024 0.0667166i −0.0400856 0.00576343i
\(135\) 0.372635 + 0.0177508i 0.0320713 + 0.00152774i
\(136\) 2.29143 0.441638i 0.196489 0.0378701i
\(137\) −16.5056 9.52952i −1.41017 0.814161i −0.414765 0.909928i \(-0.636136\pi\)
−0.995404 + 0.0957671i \(0.969470\pi\)
\(138\) 0.858941 0.176186i 0.0731180 0.0149980i
\(139\) 11.3183i 0.960009i −0.877266 0.480004i \(-0.840635\pi\)
0.877266 0.480004i \(-0.159365\pi\)
\(140\) 0.320446 + 1.91441i 0.0270827 + 0.161797i
\(141\) −7.67900 4.93500i −0.646689 0.415602i
\(142\) −1.27289 + 0.509587i −0.106818 + 0.0427636i
\(143\) −2.00222 2.81173i −0.167434 0.235129i
\(144\) −3.52831 1.41252i −0.294026 0.117710i
\(145\) −0.601828 2.48077i −0.0499791 0.206017i
\(146\) −0.354668 0.551874i −0.0293525 0.0456735i
\(147\) 6.50247 2.59188i 0.536315 0.213775i
\(148\) 0.384390 + 1.30911i 0.0315967 + 0.107608i
\(149\) −0.194853 + 1.01099i −0.0159630 + 0.0828238i −0.989037 0.147671i \(-0.952822\pi\)
0.973074 + 0.230495i \(0.0740345\pi\)
\(150\) 0.839830 0.290668i 0.0685718 0.0237329i
\(151\) −0.689203 + 2.84093i −0.0560865 + 0.231192i −0.992955 0.118489i \(-0.962195\pi\)
0.936869 + 0.349681i \(0.113710\pi\)
\(152\) 1.35538 1.90337i 0.109936 0.154384i
\(153\) −2.70701 + 1.73969i −0.218849 + 0.140646i
\(154\) −0.611325 + 0.554894i −0.0492620 + 0.0447147i
\(155\) 2.01335 0.289476i 0.161716 0.0232513i
\(156\) 3.95918 0.378056i 0.316988 0.0302687i
\(157\) 4.30495 + 3.38545i 0.343572 + 0.270188i 0.775003 0.631958i \(-0.217748\pi\)
−0.431430 + 0.902146i \(0.641991\pi\)
\(158\) 0.852900 + 1.65440i 0.0678531 + 0.131617i
\(159\) −0.178868 + 0.516804i −0.0141851 + 0.0409852i
\(160\) 0.800313 0.0632703
\(161\) −9.07178 8.87146i −0.714957 0.699169i
\(162\) −0.182831 −0.0143645
\(163\) 1.16509 3.36629i 0.0912565 0.263668i −0.890131 0.455704i \(-0.849388\pi\)
0.981388 + 0.192035i \(0.0615088\pi\)
\(164\) 8.57255 + 16.6284i 0.669404 + 1.29846i
\(165\) 0.500499 + 0.393596i 0.0389638 + 0.0306414i
\(166\) −1.42756 + 0.136315i −0.110800 + 0.0105801i
\(167\) 20.9089 3.00624i 1.61798 0.232630i 0.726987 0.686652i \(-0.240920\pi\)
0.890991 + 0.454022i \(0.150011\pi\)
\(168\) −0.406448 1.87518i −0.0313581 0.144674i
\(169\) 7.49549 4.81706i 0.576576 0.370543i
\(170\) 0.127309 0.178780i 0.00976413 0.0137118i
\(171\) −0.759618 + 3.13119i −0.0580895 + 0.239448i
\(172\) 14.2466 4.93079i 1.08629 0.375969i
\(173\) −0.103805 + 0.538590i −0.00789213 + 0.0409482i −0.985661 0.168736i \(-0.946031\pi\)
0.977769 + 0.209684i \(0.0672436\pi\)
\(174\) 0.352464 + 1.20038i 0.0267202 + 0.0910007i
\(175\) −10.2896 7.71476i −0.777821 0.583181i
\(176\) −3.50696 5.45694i −0.264347 0.411332i
\(177\) 3.07887 + 12.6913i 0.231422 + 0.953933i
\(178\) 0.671624 + 0.268878i 0.0503403 + 0.0201532i
\(179\) −3.33686 4.68596i −0.249408 0.350245i 0.670825 0.741616i \(-0.265940\pi\)
−0.920233 + 0.391371i \(0.872001\pi\)
\(180\) −0.681092 + 0.272668i −0.0507656 + 0.0203235i
\(181\) 7.60784 + 4.88926i 0.565486 + 0.363416i 0.791933 0.610607i \(-0.209075\pi\)
−0.226447 + 0.974023i \(0.572711\pi\)
\(182\) 0.622297 + 0.754841i 0.0461277 + 0.0559525i
\(183\) 9.26452i 0.684853i
\(184\) −2.80885 + 2.05104i −0.207071 + 0.151205i
\(185\) 0.224146 + 0.129411i 0.0164796 + 0.00951448i
\(186\) −0.978848 + 0.188657i −0.0717726 + 0.0138330i
\(187\) −5.48587 0.261324i −0.401167 0.0191099i
\(188\) 17.7683 + 2.55469i 1.29588 + 0.186320i
\(189\) 1.48132 + 2.19219i 0.107750 + 0.159458i
\(190\) −0.0312754 0.217525i −0.00226895 0.0157809i
\(191\) 0.0101216 0.00245548i 0.000732375 0.000177672i −0.235393 0.971900i \(-0.575638\pi\)
0.236125 + 0.971723i \(0.424122\pi\)
\(192\) 7.20072 0.343013i 0.519667 0.0247548i
\(193\) 10.7868 + 1.03001i 0.776449 + 0.0741419i 0.475754 0.879578i \(-0.342175\pi\)
0.300695 + 0.953720i \(0.402781\pi\)
\(194\) −1.72441 1.64422i −0.123805 0.118048i
\(195\) 0.494073 0.570191i 0.0353813 0.0408322i
\(196\) −9.51458 + 9.94866i −0.679613 + 0.710619i
\(197\) 20.7235 6.08496i 1.47649 0.433536i 0.558286 0.829649i \(-0.311459\pi\)
0.918202 + 0.396113i \(0.129641\pi\)
\(198\) −0.254188 0.181007i −0.0180644 0.0128636i
\(199\) −0.428007 8.98497i −0.0303406 0.636927i −0.961910 0.273365i \(-0.911863\pi\)
0.931570 0.363562i \(-0.118440\pi\)
\(200\) −2.55125 + 2.43262i −0.180401 + 0.172012i
\(201\) −2.01552 + 1.58502i −0.142164 + 0.111799i
\(202\) −0.0650258 0.0296963i −0.00457520 0.00208942i
\(203\) 11.5372 13.9518i 0.809752 0.979224i
\(204\) 3.42123 5.32353i 0.239534 0.372722i
\(205\) 3.35373 + 1.16074i 0.234234 + 0.0810693i
\(206\) −1.27569 + 2.20957i −0.0888818 + 0.153948i
\(207\) 2.54457 4.06512i 0.176860 0.282545i
\(208\) −6.65648 + 3.84312i −0.461544 + 0.266472i
\(209\) −4.15605 + 3.60123i −0.287480 + 0.249103i
\(210\) −0.149369 0.101260i −0.0103075 0.00698758i
\(211\) 2.09043 14.5393i 0.143911 1.00092i −0.782026 0.623246i \(-0.785813\pi\)
0.925937 0.377678i \(-0.123277\pi\)
\(212\) −0.102231 1.07061i −0.00702127 0.0735301i
\(213\) −2.78721 + 6.96211i −0.190976 + 0.477036i
\(214\) 0.336178 + 0.352574i 0.0229807 + 0.0241014i
\(215\) 1.31046 2.54194i 0.0893727 0.173359i
\(216\) 0.659675 0.301264i 0.0448852 0.0204984i
\(217\) 10.1928 + 10.2081i 0.691933 + 0.692973i
\(218\) 2.52993 + 2.19220i 0.171348 + 0.148474i
\(219\) −3.52326 0.679052i −0.238080 0.0458861i
\(220\) −1.21687 0.295209i −0.0820412 0.0199030i
\(221\) −0.618599 + 6.47826i −0.0416115 + 0.435775i
\(222\) −0.112745 0.0581239i −0.00756692 0.00390102i
\(223\) −2.12929 + 7.25169i −0.142588 + 0.485609i −0.999557 0.0297581i \(-0.990526\pi\)
0.856969 + 0.515367i \(0.172344\pi\)
\(224\) 3.39802 + 4.54633i 0.227039 + 0.303764i
\(225\) 2.01926 4.42156i 0.134617 0.294771i
\(226\) 0.343880 + 0.858970i 0.0228745 + 0.0571379i
\(227\) −9.15576 + 4.72012i −0.607689 + 0.313285i −0.734466 0.678646i \(-0.762567\pi\)
0.126777 + 0.991931i \(0.459537\pi\)
\(228\) −1.19916 6.22182i −0.0794161 0.412050i
\(229\) −2.69026 4.65967i −0.177777 0.307920i 0.763342 0.645995i \(-0.223557\pi\)
−0.941119 + 0.338076i \(0.890224\pi\)
\(230\) −0.0580740 + 0.321910i −0.00382929 + 0.0212261i
\(231\) −0.110851 + 4.51433i −0.00729346 + 0.297021i
\(232\) −3.24969 3.75034i −0.213353 0.246222i
\(233\) −1.13623 + 23.8524i −0.0744369 + 1.56262i 0.585107 + 0.810956i \(0.301052\pi\)
−0.659544 + 0.751666i \(0.729251\pi\)
\(234\) −0.228568 + 0.290648i −0.0149420 + 0.0190003i
\(235\) 2.77387 1.97526i 0.180947 0.128852i
\(236\) −15.8757 20.1876i −1.03342 1.31410i
\(237\) 9.76811 + 2.86818i 0.634507 + 0.186308i
\(238\) 1.55613 0.0358743i 0.100869 0.00232538i
\(239\) 2.84877 + 6.23793i 0.184272 + 0.403498i 0.979112 0.203319i \(-0.0651730\pi\)
−0.794841 + 0.606818i \(0.792446\pi\)
\(240\) 0.978412 1.02613i 0.0631562 0.0662363i
\(241\) 0.772012 + 2.23058i 0.0497297 + 0.143684i 0.967131 0.254279i \(-0.0818382\pi\)
−0.917401 + 0.397964i \(0.869717\pi\)
\(242\) 0.483583 + 1.39722i 0.0310859 + 0.0898168i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) −7.56859 16.5729i −0.484530 1.06097i
\(245\) −0.00391961 + 2.61140i −0.000250415 + 0.166836i
\(246\) −1.66882 0.490011i −0.106400 0.0312420i
\(247\) 4.02804 + 5.12207i 0.256298 + 0.325910i
\(248\) 3.22094 2.29362i 0.204530 0.145645i
\(249\) −4.84860 + 6.16549i −0.307267 + 0.390722i
\(250\) −0.0320022 + 0.671809i −0.00202400 + 0.0424889i
\(251\) 1.78603 + 2.06119i 0.112733 + 0.130101i 0.809311 0.587380i \(-0.199840\pi\)
−0.696578 + 0.717481i \(0.745295\pi\)
\(252\) −4.44076 2.71136i −0.279742 0.170800i
\(253\) 7.56226 3.13252i 0.475435 0.196940i
\(254\) −1.65816 2.87201i −0.104042 0.180206i
\(255\) −0.227184 1.17874i −0.0142268 0.0738156i
\(256\) −11.9036 + 6.13673i −0.743975 + 0.383546i
\(257\) 10.9992 + 27.4746i 0.686109 + 1.71382i 0.700231 + 0.713917i \(0.253080\pi\)
−0.0141220 + 0.999900i \(0.504495\pi\)
\(258\) −0.582236 + 1.27492i −0.0362485 + 0.0793730i
\(259\) 0.216551 + 1.82277i 0.0134558 + 0.113261i
\(260\) −0.418013 + 1.42362i −0.0259240 + 0.0882892i
\(261\) 6.08205 + 3.13551i 0.376469 + 0.194083i
\(262\) −0.203035 + 2.12627i −0.0125435 + 0.131362i
\(263\) −19.3653 4.69797i −1.19412 0.289690i −0.411041 0.911617i \(-0.634835\pi\)
−0.783075 + 0.621927i \(0.786350\pi\)
\(264\) 1.21540 + 0.234249i 0.0748028 + 0.0144171i
\(265\) −0.154187 0.133604i −0.00947163 0.00820721i
\(266\) 1.10290 1.10125i 0.0676231 0.0675217i
\(267\) 3.59934 1.64376i 0.220276 0.100597i
\(268\) 2.31060 4.48194i 0.141142 0.273778i
\(269\) 9.78686 + 10.2642i 0.596715 + 0.625817i 0.950952 0.309339i \(-0.100108\pi\)
−0.354237 + 0.935156i \(0.615259\pi\)
\(270\) 0.0253497 0.0633206i 0.00154274 0.00385357i
\(271\) −0.588399 6.16199i −0.0357427 0.374314i −0.995591 0.0937963i \(-0.970100\pi\)
0.959849 0.280518i \(-0.0905063\pi\)
\(272\) −1.74044 + 12.1051i −0.105530 + 0.733977i
\(273\) 5.33684 + 0.385724i 0.323000 + 0.0233451i
\(274\) −2.63347 + 2.28191i −0.159094 + 0.137855i
\(275\) 7.18482 4.14816i 0.433261 0.250143i
\(276\) −1.23090 + 9.35068i −0.0740916 + 0.562845i
\(277\) 1.48733 2.57614i 0.0893652 0.154785i −0.817878 0.575392i \(-0.804850\pi\)
0.907243 + 0.420607i \(0.138183\pi\)
\(278\) −1.95553 0.676814i −0.117285 0.0405926i
\(279\) −2.94778 + 4.58684i −0.176479 + 0.274607i
\(280\) 0.705796 + 0.119230i 0.0421794 + 0.00712537i
\(281\) −10.4425 4.76894i −0.622949 0.284491i 0.0788278 0.996888i \(-0.474882\pi\)
−0.701777 + 0.712397i \(0.747610\pi\)
\(282\) −1.31183 + 1.03164i −0.0781186 + 0.0614331i
\(283\) 17.1189 16.3229i 1.01761 0.970293i 0.0180509 0.999837i \(-0.494254\pi\)
0.999563 + 0.0295437i \(0.00940541\pi\)
\(284\) −0.701735 14.7312i −0.0416403 0.874137i
\(285\) −0.979117 0.697226i −0.0579979 0.0413001i
\(286\) −0.605526 + 0.177798i −0.0358055 + 0.0105134i
\(287\) 7.64567 + 23.9798i 0.451310 + 1.41548i
\(288\) −1.40486 + 1.62129i −0.0827822 + 0.0955357i
\(289\) −4.80964 4.58598i −0.282920 0.269763i
\(290\) −0.464603 0.0443642i −0.0272825 0.00260516i
\(291\) −13.0172 + 0.620088i −0.763085 + 0.0363502i
\(292\) 6.85735 1.66358i 0.401296 0.0973534i
\(293\) 4.00285 + 27.8404i 0.233849 + 1.62645i 0.681201 + 0.732096i \(0.261458\pi\)
−0.447353 + 0.894358i \(0.647633\pi\)
\(294\) −0.0589772 1.27845i −0.00343962 0.0745610i
\(295\) −4.82231 0.693344i −0.280766 0.0403680i
\(296\) 0.502571 + 0.0239404i 0.0292114 + 0.00139151i
\(297\) −1.67593 + 0.323009i −0.0972472 + 0.0187429i
\(298\) 0.163023 + 0.0941211i 0.00944365 + 0.00545229i
\(299\) −3.28124 9.12719i −0.189759 0.527839i
\(300\) 9.55917i 0.551899i
\(301\) 20.0040 3.34840i 1.15301 0.192999i
\(302\) 0.449630 + 0.288959i 0.0258733 + 0.0166277i
\(303\) −0.362987 + 0.145318i −0.0208531 + 0.00834831i
\(304\) 7.10305 + 9.97484i 0.407388 + 0.572096i
\(305\) −3.20862 1.28454i −0.183725 0.0735525i
\(306\) 0.138701 + 0.571734i 0.00792902 + 0.0326838i
\(307\) −16.2192 25.2376i −0.925679 1.44039i −0.897616 0.440779i \(-0.854702\pi\)
−0.0280640 0.999606i \(-0.508934\pi\)
\(308\) −3.48966 8.16605i −0.198842 0.465304i
\(309\) 3.93156 + 13.3897i 0.223658 + 0.761711i
\(310\) 0.0703801 0.365167i 0.00399732 0.0207401i
\(311\) 0.697978 0.241573i 0.0395787 0.0136983i −0.307207 0.951643i \(-0.599394\pi\)
0.346786 + 0.937944i \(0.387273\pi\)
\(312\) 0.345780 1.42532i 0.0195759 0.0806930i
\(313\) 13.7292 19.2800i 0.776021 1.08977i −0.217494 0.976062i \(-0.569788\pi\)
0.993514 0.113707i \(-0.0362724\pi\)
\(314\) 0.842349 0.541345i 0.0475365 0.0305499i
\(315\) −0.964618 + 0.209082i −0.0543501 + 0.0117804i
\(316\) −19.8169 + 2.84924i −1.11479 + 0.160282i
\(317\) 5.70762 0.545012i 0.320572 0.0306109i 0.0664702 0.997788i \(-0.478826\pi\)
0.254102 + 0.967178i \(0.418220\pi\)
\(318\) 0.0785950 + 0.0618078i 0.00440739 + 0.00346601i
\(319\) 5.35160 + 10.3807i 0.299632 + 0.581206i
\(320\) −0.879593 + 2.54142i −0.0491708 + 0.142070i
\(321\) 2.66454 0.148720
\(322\) −2.07524 + 1.03688i −0.115649 + 0.0577832i
\(323\) 10.3679 0.576884
\(324\) 0.643203 1.85841i 0.0357335 0.103245i
\(325\) −4.50461 8.73772i −0.249871 0.484682i
\(326\) −0.511942 0.402596i −0.0283538 0.0222977i
\(327\) 18.2268 1.74045i 1.00794 0.0962470i
\(328\) 6.82875 0.981826i 0.377054 0.0542122i
\(329\) 22.9983 + 7.37078i 1.26794 + 0.406364i
\(330\) 0.0979325 0.0629374i 0.00539101 0.00346459i
\(331\) 15.1120 21.2219i 0.830632 1.16646i −0.153347 0.988172i \(-0.549005\pi\)
0.983979 0.178287i \(-0.0570555\pi\)
\(332\) 3.63659 14.9902i 0.199584 0.822695i
\(333\) −0.655628 + 0.226915i −0.0359282 + 0.0124349i
\(334\) 0.730906 3.79230i 0.0399934 0.207505i
\(335\) −0.269493 0.917809i −0.0147240 0.0501452i
\(336\) 9.98331 + 1.20125i 0.544634 + 0.0655336i
\(337\) 9.85636 + 15.3368i 0.536910 + 0.835449i 0.998670 0.0515562i \(-0.0164181\pi\)
−0.461760 + 0.887005i \(0.652782\pi\)
\(338\) −0.384052 1.58308i −0.0208897 0.0861085i
\(339\) 4.69817 + 1.88087i 0.255170 + 0.102155i
\(340\) 1.36936 + 1.92300i 0.0742642 + 0.104290i
\(341\) −8.63936 + 3.45868i −0.467848 + 0.187298i
\(342\) 0.495568 + 0.318482i 0.0267972 + 0.0172215i
\(343\) −14.8512 + 11.0654i −0.801888 + 0.597474i
\(344\) 5.55946i 0.299746i
\(345\) 1.05508 + 1.44491i 0.0568037 + 0.0777912i
\(346\) 0.0868476 + 0.0501415i 0.00466896 + 0.00269562i
\(347\) 33.5806 6.47214i 1.80270 0.347442i 0.826272 0.563272i \(-0.190458\pi\)
0.976431 + 0.215830i \(0.0692456\pi\)
\(348\) −13.4415 0.640296i −0.720538 0.0343235i
\(349\) −5.34858 0.769009i −0.286303 0.0411641i −0.00233277 0.999997i \(-0.500743\pi\)
−0.283970 + 0.958833i \(0.591652\pi\)
\(350\) −1.94822 + 1.31646i −0.104137 + 0.0703678i
\(351\) 0.287817 + 2.00181i 0.0153625 + 0.106849i
\(352\) −3.55829 + 0.863232i −0.189657 + 0.0460104i
\(353\) −29.3551 + 1.39835i −1.56241 + 0.0744269i −0.810858 0.585243i \(-0.800999\pi\)
−0.751555 + 0.659670i \(0.770696\pi\)
\(354\) 2.37684 + 0.226961i 0.126328 + 0.0120628i
\(355\) −2.02477 1.93061i −0.107464 0.102466i
\(356\) −5.09584 + 5.88092i −0.270079 + 0.311688i
\(357\) 5.73147 6.29533i 0.303341 0.333184i
\(358\) −1.00915 + 0.296315i −0.0533355 + 0.0156607i
\(359\) −17.3891 12.3827i −0.917763 0.653536i 0.0203769 0.999792i \(-0.493513\pi\)
−0.938140 + 0.346256i \(0.887453\pi\)
\(360\) 0.0128731 + 0.270239i 0.000678470 + 0.0142428i
\(361\) −6.23760 + 5.94754i −0.328295 + 0.313028i
\(362\) 1.29968 1.02208i 0.0683095 0.0537192i
\(363\) 7.35613 + 3.35943i 0.386097 + 0.176325i
\(364\) −9.86196 + 3.66989i −0.516907 + 0.192355i
\(365\) 0.723684 1.12607i 0.0378794 0.0589414i
\(366\) 1.60068 + 0.554000i 0.0836688 + 0.0289581i
\(367\) −1.16175 + 2.01221i −0.0606430 + 0.105037i −0.894753 0.446561i \(-0.852648\pi\)
0.834110 + 0.551598i \(0.185982\pi\)
\(368\) −5.34309 17.4261i −0.278528 0.908397i
\(369\) −8.23854 + 4.75652i −0.428881 + 0.247615i
\(370\) 0.0357625 0.0309884i 0.00185920 0.00161101i
\(371\) 0.104305 1.44315i 0.00541523 0.0749246i
\(372\) 1.52597 10.6134i 0.0791180 0.550277i
\(373\) −2.66858 27.9466i −0.138174 1.44702i −0.752825 0.658220i \(-0.771309\pi\)
0.614652 0.788799i \(-0.289297\pi\)
\(374\) −0.373195 + 0.932196i −0.0192974 + 0.0482027i
\(375\) 2.53856 + 2.66237i 0.131091 + 0.137484i
\(376\) 3.03335 5.88388i 0.156433 0.303438i
\(377\) 12.5881 5.74880i 0.648321 0.296078i
\(378\) 0.467336 0.124846i 0.0240372 0.00642141i
\(379\) −5.45569 4.72739i −0.280240 0.242829i 0.503387 0.864061i \(-0.332087\pi\)
−0.783627 + 0.621232i \(0.786633\pi\)
\(380\) 2.32110 + 0.447355i 0.119070 + 0.0229488i
\(381\) −17.6274 4.27636i −0.903079 0.219085i
\(382\) 0.000181008 0.00189560i 9.26115e−6 9.69872e-5i
\(383\) 30.5779 + 15.7640i 1.56246 + 0.805504i 0.999776 0.0211692i \(-0.00673886\pi\)
0.562683 + 0.826673i \(0.309769\pi\)
\(384\) 1.58012 5.38138i 0.0806349 0.274617i
\(385\) −1.54810 0.664310i −0.0788984 0.0338564i
\(386\) 0.822988 1.80209i 0.0418890 0.0917241i
\(387\) 2.84916 + 7.11686i 0.144831 + 0.361770i
\(388\) 22.7794 11.7436i 1.15645 0.596192i
\(389\) 4.48405 + 23.2655i 0.227350 + 1.17961i 0.898733 + 0.438495i \(0.144488\pi\)
−0.671383 + 0.741110i \(0.734299\pi\)
\(390\) −0.0689702 0.119460i −0.00349244 0.00604909i
\(391\) −14.6425 4.87326i −0.740503 0.246451i
\(392\) 2.31940 + 4.51564i 0.117147 + 0.228074i
\(393\) 7.65051 + 8.82916i 0.385917 + 0.445372i
\(394\) 0.187894 3.94437i 0.00946594 0.198715i
\(395\) −2.34771 + 2.98536i −0.118126 + 0.150210i
\(396\) 2.73412 1.94695i 0.137394 0.0978382i
\(397\) −4.32473 5.49934i −0.217052 0.276004i 0.665318 0.746560i \(-0.268296\pi\)
−0.882370 + 0.470556i \(0.844053\pi\)
\(398\) −1.57797 0.463334i −0.0790966 0.0232249i
\(399\) −0.196471 8.52238i −0.00983586 0.426653i
\(400\) −7.67431 16.8044i −0.383716 0.840220i
\(401\) −22.9778 + 24.0984i −1.14746 + 1.20342i −0.171561 + 0.985173i \(0.554881\pi\)
−0.975894 + 0.218243i \(0.929967\pi\)
\(402\) 0.153328 + 0.443012i 0.00764731 + 0.0220954i
\(403\) 3.60654 + 10.4204i 0.179655 + 0.519078i
\(404\) 0.530616 0.556494i 0.0263991 0.0276866i
\(405\) −0.154974 0.339345i −0.00770070 0.0168622i
\(406\) −1.72062 2.82763i −0.0853930 0.140333i
\(407\) −1.13617 0.333609i −0.0563177 0.0165364i
\(408\) −1.44254 1.83434i −0.0714163 0.0908132i
\(409\) 8.53041 6.07448i 0.421802 0.300364i −0.349377 0.936982i \(-0.613607\pi\)
0.771179 + 0.636619i \(0.219667\pi\)
\(410\) 0.401093 0.510031i 0.0198086 0.0251886i
\(411\) −0.906865 + 19.0374i −0.0447324 + 0.939048i
\(412\) −17.9716 20.7403i −0.885397 1.02180i
\(413\) −16.5362 30.3379i −0.813692 1.49283i
\(414\) −0.550190 0.682724i −0.0270404 0.0335541i
\(415\) −1.46306 2.53409i −0.0718187 0.124394i
\(416\) 0.821087 + 4.26021i 0.0402571 + 0.208874i
\(417\) −10.0601 + 5.18636i −0.492647 + 0.253977i
\(418\) 0.373680 + 0.933408i 0.0182773 + 0.0456545i
\(419\) 1.47676 3.23365i 0.0721445 0.157974i −0.870124 0.492833i \(-0.835961\pi\)
0.942268 + 0.334859i \(0.108689\pi\)
\(420\) 1.55476 1.16206i 0.0758643 0.0567025i
\(421\) −5.66833 + 19.3046i −0.276258 + 0.940847i 0.698130 + 0.715971i \(0.254016\pi\)
−0.974387 + 0.224876i \(0.927802\pi\)
\(422\) −2.38702 1.23059i −0.116198 0.0599044i
\(423\) −0.867676 + 9.08672i −0.0421879 + 0.441811i
\(424\) −0.385425 0.0935032i −0.0187179 0.00454092i
\(425\) −15.3586 2.96014i −0.745004 0.143588i
\(426\) 1.03621 + 0.897881i 0.0502045 + 0.0435025i
\(427\) −6.32630 23.6812i −0.306151 1.14601i
\(428\) −4.76648 + 2.17678i −0.230396 + 0.105218i
\(429\) −1.58169 + 3.06806i −0.0763648 + 0.148127i
\(430\) −0.360821 0.378418i −0.0174003 0.0182489i
\(431\) −7.99049 + 19.9593i −0.384889 + 0.961405i 0.601780 + 0.798662i \(0.294458\pi\)
−0.986668 + 0.162743i \(0.947966\pi\)
\(432\) 0.361266 + 3.78335i 0.0173814 + 0.182026i
\(433\) −1.44328 + 10.0382i −0.0693596 + 0.482407i 0.925303 + 0.379228i \(0.123810\pi\)
−0.994663 + 0.103179i \(0.967099\pi\)
\(434\) 2.37322 1.15064i 0.113918 0.0552324i
\(435\) −1.92922 + 1.67168i −0.0924991 + 0.0801509i
\(436\) −31.1833 + 18.0037i −1.49341 + 0.862220i
\(437\) −13.9784 + 6.58610i −0.668676 + 0.315056i
\(438\) −0.328007 + 0.568125i −0.0156728 + 0.0271461i
\(439\) 7.49101 + 2.59266i 0.357526 + 0.123741i 0.499926 0.866068i \(-0.333361\pi\)
−0.142400 + 0.989809i \(0.545482\pi\)
\(440\) −0.249646 + 0.388456i −0.0119014 + 0.0185189i
\(441\) −5.28336 4.59196i −0.251589 0.218665i
\(442\) 1.08229 + 0.494266i 0.0514793 + 0.0235098i
\(443\) 1.87868 1.47741i 0.0892587 0.0701939i −0.572532 0.819882i \(-0.694039\pi\)
0.661791 + 0.749688i \(0.269797\pi\)
\(444\) 0.987448 0.941530i 0.0468622 0.0446830i
\(445\) 0.0702384 + 1.47449i 0.00332962 + 0.0698973i
\(446\) 1.12558 + 0.801525i 0.0532980 + 0.0379533i
\(447\) 0.987893 0.290072i 0.0467257 0.0137199i
\(448\) −18.1716 + 5.79381i −0.858529 + 0.273732i
\(449\) −9.92631 + 11.4556i −0.468452 + 0.540622i −0.939980 0.341229i \(-0.889157\pi\)
0.471529 + 0.881851i \(0.343702\pi\)
\(450\) −0.643189 0.613279i −0.0303202 0.0289102i
\(451\) −16.1631 1.54339i −0.761089 0.0726752i
\(452\) −9.94093 + 0.473545i −0.467582 + 0.0222737i
\(453\) 2.84093 0.689203i 0.133479 0.0323816i
\(454\) 0.268023 + 1.86414i 0.0125789 + 0.0874885i
\(455\) −0.873551 + 1.79485i −0.0409527 + 0.0841439i
\(456\) −2.31286 0.332538i −0.108309 0.0155725i
\(457\) −24.5197 1.16802i −1.14698 0.0546376i −0.534534 0.845147i \(-0.679513\pi\)
−0.612450 + 0.790509i \(0.709816\pi\)
\(458\) −0.965947 + 0.186171i −0.0451357 + 0.00869920i
\(459\) 2.78672 + 1.60891i 0.130073 + 0.0750977i
\(460\) −3.06780 1.72279i −0.143037 0.0803255i
\(461\) 25.5586i 1.19038i −0.803584 0.595191i \(-0.797076\pi\)
0.803584 0.595191i \(-0.202924\pi\)
\(462\) 0.773335 + 0.289100i 0.0359788 + 0.0134502i
\(463\) −6.48594 4.16826i −0.301427 0.193716i 0.381180 0.924501i \(-0.375518\pi\)
−0.682607 + 0.730785i \(0.739154\pi\)
\(464\) 24.1433 9.66550i 1.12082 0.448710i
\(465\) −1.17987 1.65689i −0.0547150 0.0768364i
\(466\) 4.05315 + 1.62264i 0.187759 + 0.0751673i
\(467\) 0.727493 + 2.99877i 0.0336644 + 0.138766i 0.986164 0.165774i \(-0.0530123\pi\)
−0.952499 + 0.304540i \(0.901497\pi\)
\(468\) −2.15023 3.34583i −0.0993946 0.154661i
\(469\) 4.06955 5.42779i 0.187915 0.250632i
\(470\) −0.175404 0.597372i −0.00809079 0.0275547i
\(471\) 1.03647 5.37769i 0.0477578 0.247791i
\(472\) −8.94992 + 3.09760i −0.411953 + 0.142578i
\(473\) −3.08469 + 12.7153i −0.141834 + 0.584649i
\(474\) 1.07966 1.51618i 0.0495906 0.0696403i
\(475\) −13.1754 + 8.46733i −0.604530 + 0.388508i
\(476\) −5.10985 + 15.9437i −0.234210 + 0.730780i
\(477\) 0.541316 0.0778294i 0.0247851 0.00356357i
\(478\) 1.24811 0.119180i 0.0570872 0.00545117i
\(479\) −7.44886 5.85785i −0.340347 0.267652i 0.433326 0.901237i \(-0.357340\pi\)
−0.773673 + 0.633586i \(0.781582\pi\)
\(480\) −0.366725 0.711346i −0.0167386 0.0324684i
\(481\) −0.458913 + 1.32594i −0.0209246 + 0.0604577i
\(482\) 0.431554 0.0196568
\(483\) −3.72833 + 12.1285i −0.169645 + 0.551864i
\(484\) −15.9035 −0.722888
\(485\) 1.59010 4.59430i 0.0722028 0.208616i
\(486\) 0.0837779 + 0.162506i 0.00380024 + 0.00737144i
\(487\) 20.3494 + 16.0029i 0.922119 + 0.725162i 0.961714 0.274054i \(-0.0883646\pi\)
−0.0395958 + 0.999216i \(0.512607\pi\)
\(488\) −6.68831 + 0.638656i −0.302766 + 0.0289106i
\(489\) −3.52595 + 0.506956i −0.159449 + 0.0229253i
\(490\) 0.450950 + 0.156834i 0.0203719 + 0.00708503i
\(491\) −21.3878 + 13.7451i −0.965217 + 0.620307i −0.925437 0.378901i \(-0.876302\pi\)
−0.0397799 + 0.999208i \(0.512666\pi\)
\(492\) 10.8518 15.2392i 0.489235 0.687035i
\(493\) 5.19110 21.3980i 0.233795 0.963718i
\(494\) 1.12584 0.389656i 0.0506538 0.0175314i
\(495\) 0.120501 0.625217i 0.00541611 0.0281014i
\(496\) 5.83808 + 19.8827i 0.262138 + 0.892759i
\(497\) 2.37032 19.6992i 0.106324 0.883630i
\(498\) 0.775307 + 1.20640i 0.0347423 + 0.0540601i
\(499\) −0.0245849 0.101340i −0.00110057 0.00453662i 0.971259 0.238027i \(-0.0765005\pi\)
−0.972359 + 0.233490i \(0.924985\pi\)
\(500\) −6.71613 2.68873i −0.300355 0.120244i
\(501\) −12.2531 17.2070i −0.547426 0.768752i
\(502\) 0.462924 0.185327i 0.0206613 0.00827154i
\(503\) −20.9086 13.4371i −0.932267 0.599132i −0.0160751 0.999871i \(-0.505117\pi\)
−0.916192 + 0.400739i \(0.868753\pi\)
\(504\) −1.48049 + 1.22052i −0.0659461 + 0.0543665i
\(505\) 0.145864i 0.00649084i
\(506\) −0.0890132 1.49389i −0.00395712 0.0664115i
\(507\) −7.71620 4.45495i −0.342689 0.197851i
\(508\) 35.0265 6.75080i 1.55405 0.299518i
\(509\) 31.4243 + 1.49693i 1.39286 + 0.0663501i 0.730539 0.682871i \(-0.239269\pi\)
0.662320 + 0.749221i \(0.269572\pi\)
\(510\) −0.217242 0.0312347i −0.00961965 0.00138310i
\(511\) 9.46953 0.670132i 0.418908 0.0296449i
\(512\) 1.94483 + 13.5266i 0.0859500 + 0.597796i
\(513\) 3.13119 0.759618i 0.138245 0.0335380i
\(514\) 5.40465 0.257455i 0.238389 0.0113559i
\(515\) −5.18242 0.494861i −0.228365 0.0218062i
\(516\) −10.9108 10.4034i −0.480322 0.457986i
\(517\) −10.2024 + 11.7742i −0.448701 + 0.517828i
\(518\) 0.327878 + 0.0715832i 0.0144061 + 0.00314519i
\(519\) 0.526284 0.154531i 0.0231013 0.00678315i
\(520\) 0.445696 + 0.317378i 0.0195451 + 0.0139180i
\(521\) −0.660151 13.8583i −0.0289217 0.607142i −0.966081 0.258240i \(-0.916858\pi\)
0.937159 0.348902i \(-0.113445\pi\)
\(522\) 0.905434 0.863329i 0.0396298 0.0377869i
\(523\) 15.7082 12.3531i 0.686871 0.540162i −0.212601 0.977139i \(-0.568193\pi\)
0.899472 + 0.436977i \(0.143951\pi\)
\(524\) −20.8986 9.54407i −0.912959 0.416935i
\(525\) −2.14218 + 12.6809i −0.0934925 + 0.553439i
\(526\) −1.96970 + 3.06491i −0.0858831 + 0.133637i
\(527\) 16.5799 + 5.73835i 0.722231 + 0.249966i
\(528\) −3.24334 + 5.61763i −0.141148 + 0.244476i
\(529\) 22.8373 2.73121i 0.992924 0.118748i
\(530\) −0.0323035 + 0.0186504i −0.00140317 + 0.000810122i
\(531\) 9.86962 8.55207i 0.428305 0.371128i
\(532\) 7.31377 + 15.0848i 0.317092 + 0.654010i
\(533\) −2.73802 + 19.0433i −0.118597 + 0.824859i
\(534\) −0.0687679 0.720170i −0.00297588 0.0311648i
\(535\) −0.369442 + 0.922821i −0.0159724 + 0.0398970i
\(536\) −1.28321 1.34579i −0.0554262 0.0581294i
\(537\) −2.63601 + 5.11315i −0.113752 + 0.220649i
\(538\) 2.35863 1.07715i 0.101688 0.0464392i
\(539\) −2.79928 11.6148i −0.120573 0.500286i
\(540\) 0.554452 + 0.480435i 0.0238598 + 0.0206746i
\(541\) 5.57122 + 1.07376i 0.239525 + 0.0461647i 0.307601 0.951515i \(-0.400474\pi\)
−0.0680757 + 0.997680i \(0.521686\pi\)
\(542\) −1.09982 0.266815i −0.0472415 0.0114607i
\(543\) 0.859635 9.00251i 0.0368905 0.386335i
\(544\) 6.13576 + 3.16320i 0.263068 + 0.135621i
\(545\) −1.92440 + 6.55389i −0.0824320 + 0.280738i
\(546\) 0.385776 0.899008i 0.0165097 0.0384740i
\(547\) −4.77856 + 10.4636i −0.204317 + 0.447391i −0.983856 0.178962i \(-0.942726\pi\)
0.779539 + 0.626353i \(0.215453\pi\)
\(548\) −13.9303 34.7961i −0.595072 1.48642i
\(549\) 8.23463 4.24525i 0.351446 0.181183i
\(550\) −0.287060 1.48941i −0.0122403 0.0635087i
\(551\) −11.0237 19.0935i −0.469624 0.813412i
\(552\) 3.11013 + 1.55676i 0.132376 + 0.0662602i
\(553\) −26.9269 0.661201i −1.14505 0.0281171i
\(554\) −0.356153 0.411022i −0.0151315 0.0174627i
\(555\) 0.0123152 0.258529i 0.000522753 0.0109739i
\(556\) 13.7592 17.4962i 0.583520 0.742005i
\(557\) −21.9339 + 15.6190i −0.929368 + 0.661800i −0.941099 0.338131i \(-0.890205\pi\)
0.0117308 + 0.999931i \(0.496266\pi\)
\(558\) 0.616220 + 0.783587i 0.0260867 + 0.0331719i
\(559\) 14.8757 + 4.36789i 0.629174 + 0.184742i
\(560\) −1.80024 + 3.29101i −0.0760738 + 0.139071i
\(561\) 2.28150 + 4.99578i 0.0963249 + 0.210922i
\(562\) −1.44840 + 1.51904i −0.0610969 + 0.0640766i
\(563\) 1.21062 + 3.49786i 0.0510216 + 0.147417i 0.967633 0.252363i \(-0.0812077\pi\)
−0.916611 + 0.399780i \(0.869086\pi\)
\(564\) −5.87119 16.9637i −0.247222 0.714300i
\(565\) −1.30282 + 1.36636i −0.0548099 + 0.0574830i
\(566\) −1.79651 3.93380i −0.0755128 0.165350i
\(567\) 1.26972 2.32117i 0.0533231 0.0974799i
\(568\) −5.21828 1.53222i −0.218954 0.0642907i
\(569\) 9.25957 + 11.7745i 0.388181 + 0.493613i 0.940392 0.340092i \(-0.110458\pi\)
−0.552211 + 0.833704i \(0.686216\pi\)
\(570\) −0.179013 + 0.127474i −0.00749801 + 0.00533931i
\(571\) −25.6630 + 32.6332i −1.07396 + 1.36565i −0.147589 + 0.989049i \(0.547151\pi\)
−0.926373 + 0.376606i \(0.877091\pi\)
\(572\) 0.322994 6.78047i 0.0135050 0.283506i
\(573\) −0.00682051 0.00787129i −0.000284931 0.000328828i
\(574\) 4.60031 + 0.112962i 0.192013 + 0.00471495i
\(575\) 22.5875 5.76547i 0.941964 0.240437i
\(576\) −3.60444 6.24308i −0.150185 0.260128i
\(577\) 2.06002 + 10.6884i 0.0857597 + 0.444964i 0.999272 + 0.0381524i \(0.0121472\pi\)
−0.913512 + 0.406811i \(0.866641\pi\)
\(578\) −1.07995 + 0.556753i −0.0449200 + 0.0231579i
\(579\) −4.02727 10.0596i −0.167368 0.418065i
\(580\) 2.08543 4.56647i 0.0865930 0.189612i
\(581\) 8.18344 19.0706i 0.339506 0.791180i
\(582\) −0.671270 + 2.28614i −0.0278251 + 0.0947634i
\(583\) 0.829641 + 0.427710i 0.0343602 + 0.0177139i
\(584\) 0.247348 2.59035i 0.0102353 0.107189i
\(585\) −0.733203 0.177873i −0.0303142 0.00735415i
\(586\) 5.04949 + 0.973210i 0.208593 + 0.0402029i
\(587\) 9.97292 + 8.64158i 0.411626 + 0.356676i 0.835923 0.548847i \(-0.184933\pi\)
−0.424296 + 0.905523i \(0.639479\pi\)
\(588\) 13.2026 + 3.89815i 0.544464 + 0.160757i
\(589\) 15.9801 7.29786i 0.658448 0.300703i
\(590\) −0.408157 + 0.791715i −0.0168036 + 0.0325944i
\(591\) −14.9046 15.6315i −0.613093 0.642993i
\(592\) −0.979989 + 2.44789i −0.0402773 + 0.100608i
\(593\) 1.57417 + 16.4855i 0.0646434 + 0.676977i 0.968479 + 0.249096i \(0.0801335\pi\)
−0.903835 + 0.427880i \(0.859260\pi\)
\(594\) −0.0444093 + 0.308874i −0.00182214 + 0.0126732i
\(595\) 1.38561 + 2.85786i 0.0568046 + 0.117161i
\(596\) −1.53023 + 1.32595i −0.0626806 + 0.0543130i
\(597\) −7.79003 + 4.49758i −0.318825 + 0.184074i
\(598\) −1.77316 + 0.0211275i −0.0725100 + 0.000863968i
\(599\) 19.0810 33.0492i 0.779627 1.35035i −0.152529 0.988299i \(-0.548742\pi\)
0.932157 0.362055i \(-0.117925\pi\)
\(600\) 3.33125 + 1.15296i 0.135998 + 0.0470692i
\(601\) −13.2204 + 20.5713i −0.539270 + 0.839120i −0.998797 0.0490440i \(-0.984383\pi\)
0.459527 + 0.888164i \(0.348019\pi\)
\(602\) 0.617679 3.65642i 0.0251747 0.149025i
\(603\) 2.33239 + 1.06516i 0.0949821 + 0.0433769i
\(604\) −4.51899 + 3.55377i −0.183875 + 0.144601i
\(605\) −2.18343 + 2.08189i −0.0887689 + 0.0846410i
\(606\) 0.00340143 + 0.0714049i 0.000138174 + 0.00290063i
\(607\) 31.2882 + 22.2803i 1.26995 + 0.904328i 0.998312 0.0580718i \(-0.0184952\pi\)
0.271638 + 0.962399i \(0.412435\pi\)
\(608\) 6.63213 1.94737i 0.268968 0.0789763i
\(609\) −17.6875 3.86158i −0.716734 0.156479i
\(610\) −0.413806 + 0.477557i −0.0167545 + 0.0193357i
\(611\) 13.3605 + 12.7392i 0.540509 + 0.515374i
\(612\) −6.29944 0.601523i −0.254640 0.0243151i
\(613\) −12.2678 + 0.584388i −0.495493 + 0.0236032i −0.293841 0.955854i \(-0.594934\pi\)
−0.201651 + 0.979457i \(0.564631\pi\)
\(614\) −5.33031 + 1.29312i −0.215114 + 0.0521860i
\(615\) −0.505063 3.51279i −0.0203661 0.141649i
\(616\) −3.26666 + 0.231172i −0.131617 + 0.00931419i
\(617\) 34.1655 + 4.91225i 1.37545 + 0.197760i 0.790079 0.613006i \(-0.210040\pi\)
0.585371 + 0.810765i \(0.300949\pi\)
\(618\) 2.54850 + 0.121400i 0.102516 + 0.00488342i
\(619\) 36.0860 6.95501i 1.45042 0.279545i 0.597618 0.801781i \(-0.296114\pi\)
0.852801 + 0.522236i \(0.174902\pi\)
\(620\) 3.46420 + 2.00006i 0.139126 + 0.0803242i
\(621\) −4.77921 0.398960i −0.191783 0.0160097i
\(622\) 0.135039i 0.00541457i
\(623\) −8.07787 + 6.65946i −0.323633 + 0.266806i
\(624\) 6.46607 + 4.15549i 0.258850 + 0.166353i
\(625\) 21.2891 8.52289i 0.851566 0.340915i
\(626\) −2.51012 3.52497i −0.100325 0.140886i
\(627\) 5.10532 + 2.04386i 0.203887 + 0.0816239i
\(628\) 2.53919 + 10.4667i 0.101325 + 0.417665i
\(629\) 1.20697 + 1.87808i 0.0481251 + 0.0748841i
\(630\) −0.0215582 + 0.179165i −0.000858897 + 0.00713809i
\(631\) 5.14290 + 17.5151i 0.204736 + 0.697266i 0.996282 + 0.0861561i \(0.0274584\pi\)
−0.791546 + 0.611110i \(0.790723\pi\)
\(632\) −1.39724 + 7.24959i −0.0555794 + 0.288373i
\(633\) −13.8809 + 4.80423i −0.551716 + 0.190951i
\(634\) 0.247140 1.01873i 0.00981519 0.0404588i
\(635\) 3.92512 5.51206i 0.155764 0.218739i
\(636\) −0.904754 + 0.581450i −0.0358758 + 0.0230560i
\(637\) −13.9050 + 2.65832i −0.550935 + 0.105327i
\(638\) 2.11354 0.303881i 0.0836757 0.0120307i
\(639\) 7.46535 0.712854i 0.295324 0.0282001i
\(640\) 1.64467 + 1.29338i 0.0650114 + 0.0511255i
\(641\) −12.9161 25.0537i −0.510155 0.989563i −0.993468 0.114115i \(-0.963597\pi\)
0.483312 0.875448i \(-0.339434\pi\)
\(642\) 0.159334 0.460366i 0.00628842 0.0181692i
\(643\) −42.8154 −1.68847 −0.844237 0.535969i \(-0.819946\pi\)
−0.844237 + 0.535969i \(0.819946\pi\)
\(644\) −3.23882 24.7419i −0.127627 0.974969i
\(645\) −2.85985 −0.112607
\(646\) 0.619979 1.79131i 0.0243928 0.0704782i
\(647\) −13.5656 26.3135i −0.533318 1.03449i −0.989490 0.144601i \(-0.953810\pi\)
0.456172 0.889891i \(-0.349220\pi\)
\(648\) −0.570054 0.448296i −0.0223939 0.0176107i
\(649\) 22.1884 2.11874i 0.870972 0.0831678i
\(650\) −1.77903 + 0.255786i −0.0697792 + 0.0100327i
\(651\) 4.40273 13.7374i 0.172556 0.538410i
\(652\) 5.89328 3.78738i 0.230799 0.148325i
\(653\) 16.4980 23.1682i 0.645616 0.906641i −0.353975 0.935255i \(-0.615170\pi\)
0.999591 + 0.0286143i \(0.00910947\pi\)
\(654\) 0.789221 3.25321i 0.0308610 0.127211i
\(655\) −4.11860 + 1.42546i −0.160927 + 0.0556973i
\(656\) −6.84235 + 35.5015i −0.267149 + 1.38610i
\(657\) 1.01088 + 3.44276i 0.0394383 + 0.134315i
\(658\) 2.64874 3.53277i 0.103259 0.137722i
\(659\) 7.85244 + 12.2186i 0.305888 + 0.475970i 0.959833 0.280571i \(-0.0905239\pi\)
−0.653946 + 0.756542i \(0.726887\pi\)
\(660\) 0.295209 + 1.21687i 0.0114910 + 0.0473665i
\(661\) 27.4465 + 10.9879i 1.06755 + 0.427381i 0.837861 0.545883i \(-0.183806\pi\)
0.229686 + 0.973265i \(0.426230\pi\)
\(662\) −2.76294 3.88001i −0.107385 0.150801i
\(663\) 6.04157 2.41868i 0.234635 0.0939337i
\(664\) −4.78528 3.07531i −0.185705 0.119345i
\(665\) 2.97884 + 1.11360i 0.115514 + 0.0431834i
\(666\) 0.126845i 0.00491515i
\(667\) 6.59405 + 32.1472i 0.255322 + 1.24474i
\(668\) 35.9761 + 20.7708i 1.39196 + 0.803648i
\(669\) 7.42126 1.43033i 0.286922 0.0552998i
\(670\) −0.174690 0.00832149i −0.00674885 0.000321487i
\(671\) 15.6515 + 2.25034i 0.604218 + 0.0868735i
\(672\) 2.48387 5.10352i 0.0958175 0.196873i
\(673\) 1.24631 + 8.66829i 0.0480418 + 0.334138i 0.999641 + 0.0267960i \(0.00853045\pi\)
−0.951599 + 0.307342i \(0.900560\pi\)
\(674\) 3.23921 0.785824i 0.124770 0.0302688i
\(675\) −4.85532 + 0.231288i −0.186881 + 0.00890226i
\(676\) 17.4426 + 1.66557i 0.670871 + 0.0640604i
\(677\) −28.6249 27.2938i −1.10014 1.04899i −0.998532 0.0541611i \(-0.982752\pi\)
−0.101612 0.994824i \(-0.532400\pi\)
\(678\) 0.605908 0.699256i 0.0232698 0.0268547i
\(679\) 32.8501 10.4739i 1.26067 0.401951i
\(680\) 0.835304 0.245268i 0.0320325 0.00940558i
\(681\) 8.39082 + 5.97508i 0.321537 + 0.228965i
\(682\) 0.0809566 + 1.69949i 0.00309999 + 0.0650768i
\(683\) 16.1735 15.4214i 0.618861 0.590083i −0.314396 0.949292i \(-0.601802\pi\)
0.933257 + 0.359209i \(0.116953\pi\)
\(684\) −4.98069 + 3.91686i −0.190441 + 0.149765i
\(685\) −6.46759 2.95365i −0.247114 0.112853i
\(686\) 1.02375 + 3.22760i 0.0390869 + 0.123230i
\(687\) −2.90893 + 4.52638i −0.110983 + 0.172692i
\(688\) 27.5326 + 9.52913i 1.04967 + 0.363295i
\(689\) 0.553007 0.957836i 0.0210679 0.0364906i
\(690\) 0.312736 0.0958893i 0.0119056 0.00365044i
\(691\) −20.3599 + 11.7548i −0.774526 + 0.447173i −0.834487 0.551028i \(-0.814236\pi\)
0.0599605 + 0.998201i \(0.480903\pi\)
\(692\) −0.815204 + 0.706378i −0.0309894 + 0.0268525i
\(693\) 4.06329 1.97006i 0.154352 0.0748363i
\(694\) 0.889832 6.18892i 0.0337776 0.234928i
\(695\) −0.401364 4.20327i −0.0152246 0.159439i
\(696\) −1.84434 + 4.60695i −0.0699096 + 0.174626i
\(697\) 21.1242 + 22.1545i 0.800138 + 0.839161i
\(698\) −0.452700 + 0.878116i −0.0171350 + 0.0332372i
\(699\) 21.7215 9.91988i 0.821583 0.375204i
\(700\) −6.52751 24.4343i −0.246717 0.923531i
\(701\) −21.7860 18.8777i −0.822845 0.712999i 0.137896 0.990447i \(-0.455966\pi\)
−0.960741 + 0.277447i \(0.910512\pi\)
\(702\) 0.363074 + 0.0699769i 0.0137034 + 0.00264111i
\(703\) 2.17237 + 0.527012i 0.0819326 + 0.0198766i
\(704\) 1.16956 12.2482i 0.0440795 0.461622i
\(705\) −3.02674 1.56039i −0.113994 0.0587678i
\(706\) −1.51378 + 5.15545i −0.0569717 + 0.194028i
\(707\) 0.828605 0.619316i 0.0311629 0.0232918i
\(708\) −10.6688 + 23.3614i −0.400957 + 0.877974i
\(709\) 16.1705 + 40.3919i 0.607295 + 1.51695i 0.838983 + 0.544158i \(0.183151\pi\)
−0.231688 + 0.972790i \(0.574425\pi\)
\(710\) −0.454639 + 0.234383i −0.0170623 + 0.00879623i
\(711\) −1.92667 9.99652i −0.0722558 0.374899i
\(712\) 1.43480 + 2.48515i 0.0537714 + 0.0931348i
\(713\) −25.9988 + 2.79555i −0.973664 + 0.104694i
\(714\) −0.744946 1.36670i −0.0278789 0.0511476i
\(715\) −0.843270 0.973185i −0.0315365 0.0363951i
\(716\) 0.538293 11.3002i 0.0201170 0.422307i
\(717\) 4.23911 5.39047i 0.158313 0.201311i
\(718\) −3.17927 + 2.26394i −0.118649 + 0.0844897i
\(719\) 22.0400 + 28.0262i 0.821954 + 1.04520i 0.998147 + 0.0608439i \(0.0193792\pi\)
−0.176193 + 0.984356i \(0.556378\pi\)
\(720\) −1.36039 0.399448i −0.0506989 0.0148865i
\(721\) −19.1927 31.5408i −0.714772 1.17464i
\(722\) 0.654590 + 1.43335i 0.0243613 + 0.0533439i
\(723\) 1.62886 1.70830i 0.0605781 0.0635325i
\(724\) 5.81678 + 16.8065i 0.216179 + 0.624608i
\(725\) 10.8787 + 31.4319i 0.404025 + 1.16735i
\(726\) 1.02031 1.07007i 0.0378672 0.0397140i
\(727\) 5.81061 + 12.7235i 0.215504 + 0.471887i 0.986251 0.165254i \(-0.0528442\pi\)
−0.770747 + 0.637141i \(0.780117\pi\)
\(728\) 0.0894340 + 3.87940i 0.00331464 + 0.143780i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −0.151283 0.192372i −0.00559922 0.00711999i
\(731\) 20.0938 14.3087i 0.743197 0.529228i
\(732\) −11.2625 + 14.3214i −0.416272 + 0.529333i
\(733\) 0.951555 19.9756i 0.0351465 0.737816i −0.910674 0.413126i \(-0.864437\pi\)
0.945820 0.324690i \(-0.105260\pi\)
\(734\) 0.278190 + 0.321048i 0.0102682 + 0.0118501i
\(735\) 2.32290 1.19313i 0.0856815 0.0440092i
\(736\) −10.2819 0.367067i −0.378994 0.0135303i
\(737\) 2.18816 + 3.79001i 0.0806020 + 0.139607i
\(738\) 0.329160 + 1.70785i 0.0121166 + 0.0628667i
\(739\) −37.4578 + 19.3108i −1.37791 + 0.710361i −0.978468 0.206398i \(-0.933826\pi\)
−0.399440 + 0.916759i \(0.630795\pi\)
\(740\) 0.189173 + 0.472532i 0.00695415 + 0.0173706i
\(741\) 2.70692 5.92734i 0.0994413 0.217746i
\(742\) −0.243103 0.104319i −0.00892460 0.00382966i
\(743\) −9.80554 + 33.3946i −0.359730 + 1.22513i 0.558641 + 0.829410i \(0.311323\pi\)
−0.918371 + 0.395720i \(0.870495\pi\)
\(744\) −3.51457 1.81189i −0.128850 0.0664270i
\(745\) −0.0365110 + 0.382360i −0.00133766 + 0.0140086i
\(746\) −4.98805 1.21009i −0.182625 0.0443045i
\(747\) 7.70186 + 1.48441i 0.281796 + 0.0543118i
\(748\) −8.16255 7.07289i −0.298452 0.258611i
\(749\) −6.81086 + 1.81949i −0.248863 + 0.0664826i
\(750\) 0.611792 0.279396i 0.0223395 0.0102021i
\(751\) −10.7293 + 20.8119i −0.391517 + 0.759437i −0.999402 0.0345885i \(-0.988988\pi\)
0.607885 + 0.794025i \(0.292018\pi\)
\(752\) 23.9400 + 25.1075i 0.873001 + 0.915578i
\(753\) 1.01365 2.53198i 0.0369395 0.0922705i
\(754\) −0.240505 2.51868i −0.00875867 0.0917250i
\(755\) −0.155205 + 1.07947i −0.00564848 + 0.0392860i
\(756\) −0.375077 + 5.18953i −0.0136414 + 0.188741i
\(757\) 18.5763 16.0964i 0.675167 0.585035i −0.248314 0.968679i \(-0.579877\pi\)
0.923481 + 0.383644i \(0.125331\pi\)
\(758\) −1.14301 + 0.659920i −0.0415162 + 0.0239694i
\(759\) −6.24953 5.28620i −0.226843 0.191877i
\(760\) 0.435850 0.754915i 0.0158100 0.0273836i
\(761\) −1.73450 0.600315i −0.0628754 0.0217614i 0.295449 0.955358i \(-0.404531\pi\)
−0.358325 + 0.933597i \(0.616652\pi\)
\(762\) −1.79293 + 2.78986i −0.0649511 + 0.101066i
\(763\) −45.4013 + 16.8950i −1.64364 + 0.611640i
\(764\) 0.0186313 + 0.00850864i 0.000674058 + 0.000307832i
\(765\) −0.943605 + 0.742060i −0.0341161 + 0.0268292i
\(766\) 4.55213 4.34045i 0.164475 0.156827i
\(767\) −1.25670 26.3813i −0.0453768 0.952575i
\(768\) 10.9091 + 7.76833i 0.393648 + 0.280315i
\(769\) −33.2075 + 9.75060i −1.19749 + 0.351616i −0.818894 0.573945i \(-0.805412\pi\)
−0.378599 + 0.925561i \(0.623594\pi\)
\(770\) −0.207350 + 0.227749i −0.00747236 + 0.00820749i
\(771\) 19.3803 22.3660i 0.697963 0.805493i
\(772\) 15.4224 + 14.7052i 0.555064 + 0.529252i