Properties

Label 546.2.bg.b.311.16
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.16
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.57792 + 0.714250i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.19770 + 1.26884i) q^{5} +(0.170404 + 1.72365i) q^{6} +(-2.61925 - 0.373536i) q^{7} -1.00000 q^{8} +(1.97969 + 2.25407i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.57792 + 0.714250i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.19770 + 1.26884i) q^{5} +(0.170404 + 1.72365i) q^{6} +(-2.61925 - 0.373536i) q^{7} -1.00000 q^{8} +(1.97969 + 2.25407i) q^{9} +(-2.19770 - 1.26884i) q^{10} +(-1.32440 + 2.29393i) q^{11} +(-1.40752 + 1.00940i) q^{12} +(3.59958 - 0.207354i) q^{13} +(-0.986133 - 2.45511i) q^{14} +(-4.37407 + 0.432430i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.84623 + 3.19777i) q^{17} +(-0.962231 + 2.84150i) q^{18} +(-0.241819 - 0.418842i) q^{19} -2.53768i q^{20} +(-3.86618 - 2.46021i) q^{21} -2.64880 q^{22} +(-4.09436 + 2.36388i) q^{23} +(-1.57792 - 0.714250i) q^{24} +(0.719909 - 1.24692i) q^{25} +(1.97937 + 3.01365i) q^{26} +(1.51384 + 4.97074i) q^{27} +(1.63312 - 2.08157i) q^{28} -6.93400i q^{29} +(-2.56153 - 3.57184i) q^{30} +(-2.71148 + 4.69643i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-3.72824 + 2.67369i) q^{33} -3.69246 q^{34} +(6.23027 - 2.50249i) q^{35} +(-2.94193 + 0.587433i) q^{36} +(5.90071 - 3.40678i) q^{37} +(0.241819 - 0.418842i) q^{38} +(5.82798 + 2.24381i) q^{39} +(2.19770 - 1.26884i) q^{40} +3.03693i q^{41} +(0.197515 - 4.57832i) q^{42} +5.11062 q^{43} +(-1.32440 - 2.29393i) q^{44} +(-7.21081 - 2.44183i) q^{45} +(-4.09436 - 2.36388i) q^{46} +(6.66192 - 3.84626i) q^{47} +(-0.170404 - 1.72365i) q^{48} +(6.72094 + 1.95677i) q^{49} +1.43982 q^{50} +(-5.19722 + 3.72716i) q^{51} +(-1.62022 + 3.22101i) q^{52} +(8.13530 + 4.69692i) q^{53} +(-3.54787 + 3.79640i) q^{54} -6.72180i q^{55} +(2.61925 + 0.373536i) q^{56} +(-0.0824136 - 0.833620i) q^{57} +(6.00502 - 3.46700i) q^{58} +(4.98510 + 2.87815i) q^{59} +(1.81254 - 4.00427i) q^{60} +(4.25236 - 2.45510i) q^{61} -5.42297 q^{62} +(-4.34334 - 6.64345i) q^{63} +1.00000 q^{64} +(-7.64769 + 5.02300i) q^{65} +(-4.17960 - 1.89190i) q^{66} +(-1.38217 - 0.797996i) q^{67} +(-1.84623 - 3.19777i) q^{68} +(-8.14900 + 0.805629i) q^{69} +(5.28236 + 4.14433i) q^{70} +12.9028 q^{71} +(-1.97969 - 2.25407i) q^{72} +(-6.57447 + 11.3873i) q^{73} +(5.90071 + 3.40678i) q^{74} +(2.02658 - 1.45335i) q^{75} +0.483637 q^{76} +(4.32580 - 5.51365i) q^{77} +(0.970788 + 6.16908i) q^{78} +(-3.75864 - 6.51016i) q^{79} +(2.19770 + 1.26884i) q^{80} +(-1.16162 + 8.92472i) q^{81} +(-2.63006 + 1.51847i) q^{82} +3.10022i q^{83} +(4.06370 - 2.11811i) q^{84} -9.37029i q^{85} +(2.55531 + 4.42592i) q^{86} +(4.95261 - 10.9413i) q^{87} +(1.32440 - 2.29393i) q^{88} +(2.37997 - 1.37408i) q^{89} +(-1.49072 - 7.46566i) q^{90} +(-9.50566 - 0.801464i) q^{91} -4.72776i q^{92} +(-7.63294 + 5.47393i) q^{93} +(6.66192 + 3.84626i) q^{94} +(1.06289 + 0.613658i) q^{95} +(1.40752 - 1.00940i) q^{96} +5.91584 q^{97} +(1.66586 + 6.79889i) q^{98} +(-7.79256 + 1.55599i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + 14q^{15} - 18q^{16} - 4q^{18} - 23q^{21} + 14q^{25} + 6q^{26} + 7q^{30} + 18q^{32} - 24q^{33} - 8q^{36} + 10q^{39} - 16q^{42} - 16q^{43} + 9q^{45} - 72q^{47} + 12q^{49} + 28q^{50} - 3q^{51} + 6q^{52} - 9q^{54} + 8q^{57} - 24q^{59} - 7q^{60} - 36q^{61} + 39q^{63} + 36q^{64} - 18q^{65} - 24q^{66} + 72q^{71} - 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} + 7q^{84} - 8q^{86} - 24q^{87} + 72q^{89} - 2q^{91} + 14q^{93} - 72q^{94} + 12q^{98} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 1.57792 + 0.714250i 0.911015 + 0.412372i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −2.19770 + 1.26884i −0.982839 + 0.567442i −0.903126 0.429375i \(-0.858734\pi\)
−0.0797131 + 0.996818i \(0.525400\pi\)
\(6\) 0.170404 + 1.72365i 0.0695671 + 0.703676i
\(7\) −2.61925 0.373536i −0.989983 0.141183i
\(8\) −1.00000 −0.353553
\(9\) 1.97969 + 2.25407i 0.659898 + 0.751355i
\(10\) −2.19770 1.26884i −0.694972 0.401242i
\(11\) −1.32440 + 2.29393i −0.399321 + 0.691645i −0.993642 0.112583i \(-0.964087\pi\)
0.594321 + 0.804228i \(0.297421\pi\)
\(12\) −1.40752 + 1.00940i −0.406316 + 0.291388i
\(13\) 3.59958 0.207354i 0.998345 0.0575096i
\(14\) −0.986133 2.45511i −0.263555 0.656154i
\(15\) −4.37407 + 0.432430i −1.12938 + 0.111653i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.84623 + 3.19777i −0.447777 + 0.775572i −0.998241 0.0592866i \(-0.981117\pi\)
0.550464 + 0.834859i \(0.314451\pi\)
\(18\) −0.962231 + 2.84150i −0.226800 + 0.669748i
\(19\) −0.241819 0.418842i −0.0554770 0.0960890i 0.836953 0.547274i \(-0.184335\pi\)
−0.892430 + 0.451185i \(0.851001\pi\)
\(20\) 2.53768i 0.567442i
\(21\) −3.86618 2.46021i −0.843670 0.536862i
\(22\) −2.64880 −0.564725
\(23\) −4.09436 + 2.36388i −0.853734 + 0.492903i −0.861909 0.507063i \(-0.830731\pi\)
0.00817520 + 0.999967i \(0.497398\pi\)
\(24\) −1.57792 0.714250i −0.322093 0.145796i
\(25\) 0.719909 1.24692i 0.143982 0.249384i
\(26\) 1.97937 + 3.01365i 0.388186 + 0.591026i
\(27\) 1.51384 + 4.97074i 0.291339 + 0.956620i
\(28\) 1.63312 2.08157i 0.308630 0.393380i
\(29\) 6.93400i 1.28761i −0.765189 0.643805i \(-0.777355\pi\)
0.765189 0.643805i \(-0.222645\pi\)
\(30\) −2.56153 3.57184i −0.467669 0.652125i
\(31\) −2.71148 + 4.69643i −0.486997 + 0.843503i −0.999888 0.0149503i \(-0.995241\pi\)
0.512891 + 0.858453i \(0.328574\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −3.72824 + 2.67369i −0.649003 + 0.465430i
\(34\) −3.69246 −0.633252
\(35\) 6.23027 2.50249i 1.05311 0.422998i
\(36\) −2.94193 + 0.587433i −0.490321 + 0.0979054i
\(37\) 5.90071 3.40678i 0.970071 0.560071i 0.0708132 0.997490i \(-0.477441\pi\)
0.899258 + 0.437419i \(0.144107\pi\)
\(38\) 0.241819 0.418842i 0.0392282 0.0679452i
\(39\) 5.82798 + 2.24381i 0.933223 + 0.359298i
\(40\) 2.19770 1.26884i 0.347486 0.200621i
\(41\) 3.03693i 0.474289i 0.971474 + 0.237145i \(0.0762115\pi\)
−0.971474 + 0.237145i \(0.923788\pi\)
\(42\) 0.197515 4.57832i 0.0304772 0.706450i
\(43\) 5.11062 0.779362 0.389681 0.920950i \(-0.372585\pi\)
0.389681 + 0.920950i \(0.372585\pi\)
\(44\) −1.32440 2.29393i −0.199661 0.345822i
\(45\) −7.21081 2.44183i −1.07492 0.364007i
\(46\) −4.09436 2.36388i −0.603681 0.348535i
\(47\) 6.66192 3.84626i 0.971741 0.561035i 0.0719745 0.997406i \(-0.477070\pi\)
0.899767 + 0.436371i \(0.143737\pi\)
\(48\) −0.170404 1.72365i −0.0245957 0.248787i
\(49\) 6.72094 + 1.95677i 0.960134 + 0.279539i
\(50\) 1.43982 0.203621
\(51\) −5.19722 + 3.72716i −0.727756 + 0.521907i
\(52\) −1.62022 + 3.22101i −0.224684 + 0.446673i
\(53\) 8.13530 + 4.69692i 1.11747 + 0.645171i 0.940754 0.339091i \(-0.110119\pi\)
0.176716 + 0.984262i \(0.443453\pi\)
\(54\) −3.54787 + 3.79640i −0.482804 + 0.516624i
\(55\) 6.72180i 0.906367i
\(56\) 2.61925 + 0.373536i 0.350012 + 0.0499159i
\(57\) −0.0824136 0.833620i −0.0109160 0.110416i
\(58\) 6.00502 3.46700i 0.788497 0.455239i
\(59\) 4.98510 + 2.87815i 0.649005 + 0.374703i 0.788075 0.615579i \(-0.211078\pi\)
−0.139070 + 0.990283i \(0.544411\pi\)
\(60\) 1.81254 4.00427i 0.233998 0.516949i
\(61\) 4.25236 2.45510i 0.544459 0.314343i −0.202425 0.979298i \(-0.564882\pi\)
0.746884 + 0.664954i \(0.231549\pi\)
\(62\) −5.42297 −0.688717
\(63\) −4.34334 6.64345i −0.547209 0.836996i
\(64\) 1.00000 0.125000
\(65\) −7.64769 + 5.02300i −0.948579 + 0.623026i
\(66\) −4.17960 1.89190i −0.514474 0.232877i
\(67\) −1.38217 0.797996i −0.168859 0.0974908i 0.413189 0.910645i \(-0.364415\pi\)
−0.582048 + 0.813155i \(0.697748\pi\)
\(68\) −1.84623 3.19777i −0.223888 0.387786i
\(69\) −8.14900 + 0.805629i −0.981024 + 0.0969863i
\(70\) 5.28236 + 4.14433i 0.631362 + 0.495342i
\(71\) 12.9028 1.53128 0.765638 0.643272i \(-0.222423\pi\)
0.765638 + 0.643272i \(0.222423\pi\)
\(72\) −1.97969 2.25407i −0.233309 0.265644i
\(73\) −6.57447 + 11.3873i −0.769484 + 1.33279i 0.168359 + 0.985726i \(0.446153\pi\)
−0.937843 + 0.347060i \(0.887180\pi\)
\(74\) 5.90071 + 3.40678i 0.685944 + 0.396030i
\(75\) 2.02658 1.45335i 0.234009 0.167818i
\(76\) 0.483637 0.0554770
\(77\) 4.32580 5.51365i 0.492970 0.628339i
\(78\) 0.970788 + 6.16908i 0.109920 + 0.698511i
\(79\) −3.75864 6.51016i −0.422880 0.732450i 0.573339 0.819318i \(-0.305648\pi\)
−0.996220 + 0.0868676i \(0.972314\pi\)
\(80\) 2.19770 + 1.26884i 0.245710 + 0.141861i
\(81\) −1.16162 + 8.92472i −0.129069 + 0.991636i
\(82\) −2.63006 + 1.51847i −0.290442 + 0.167687i
\(83\) 3.10022i 0.340293i 0.985419 + 0.170146i \(0.0544241\pi\)
−0.985419 + 0.170146i \(0.945576\pi\)
\(84\) 4.06370 2.11811i 0.443386 0.231104i
\(85\) 9.37029i 1.01635i
\(86\) 2.55531 + 4.42592i 0.275546 + 0.477260i
\(87\) 4.95261 10.9413i 0.530975 1.17303i
\(88\) 1.32440 2.29393i 0.141181 0.244533i
\(89\) 2.37997 1.37408i 0.252276 0.145652i −0.368530 0.929616i \(-0.620139\pi\)
0.620806 + 0.783964i \(0.286805\pi\)
\(90\) −1.49072 7.46566i −0.157135 0.786950i
\(91\) −9.50566 0.801464i −0.996464 0.0840162i
\(92\) 4.72776i 0.492903i
\(93\) −7.63294 + 5.47393i −0.791499 + 0.567620i
\(94\) 6.66192 + 3.84626i 0.687125 + 0.396712i
\(95\) 1.06289 + 0.613658i 0.109050 + 0.0629600i
\(96\) 1.40752 1.00940i 0.143655 0.103021i
\(97\) 5.91584 0.600663 0.300331 0.953835i \(-0.402903\pi\)
0.300331 + 0.953835i \(0.402903\pi\)
\(98\) 1.66586 + 6.79889i 0.168277 + 0.686792i
\(99\) −7.79256 + 1.55599i −0.783182 + 0.156383i
\(100\) 0.719909 + 1.24692i 0.0719909 + 0.124692i
\(101\) −6.93191 + 12.0064i −0.689751 + 1.19468i 0.282167 + 0.959365i \(0.408947\pi\)
−0.971918 + 0.235318i \(0.924387\pi\)
\(102\) −5.82643 2.63734i −0.576902 0.261136i
\(103\) −7.90784 + 4.56559i −0.779183 + 0.449861i −0.836141 0.548515i \(-0.815193\pi\)
0.0569579 + 0.998377i \(0.481860\pi\)
\(104\) −3.59958 + 0.207354i −0.352968 + 0.0203327i
\(105\) 11.6183 + 0.501230i 1.13383 + 0.0489150i
\(106\) 9.39383i 0.912410i
\(107\) −6.73065 + 3.88594i −0.650677 + 0.375668i −0.788716 0.614758i \(-0.789254\pi\)
0.138039 + 0.990427i \(0.455920\pi\)
\(108\) −5.06171 1.17435i −0.487063 0.113001i
\(109\) −11.8250 6.82718i −1.13263 0.653925i −0.188037 0.982162i \(-0.560212\pi\)
−0.944596 + 0.328237i \(0.893546\pi\)
\(110\) 5.82125 3.36090i 0.555034 0.320449i
\(111\) 11.7442 1.16106i 1.11471 0.110203i
\(112\) 0.986133 + 2.45511i 0.0931808 + 0.231986i
\(113\) 20.5235i 1.93068i −0.260987 0.965342i \(-0.584048\pi\)
0.260987 0.965342i \(-0.415952\pi\)
\(114\) 0.680730 0.488182i 0.0637562 0.0457225i
\(115\) 5.99877 10.3902i 0.559389 0.968889i
\(116\) 6.00502 + 3.46700i 0.557552 + 0.321903i
\(117\) 7.59346 + 7.70320i 0.702016 + 0.712161i
\(118\) 5.75630i 0.529910i
\(119\) 6.03022 7.68611i 0.552790 0.704585i
\(120\) 4.37407 0.432430i 0.399296 0.0394753i
\(121\) 1.99194 + 3.45014i 0.181085 + 0.313649i
\(122\) 4.25236 + 2.45510i 0.384990 + 0.222274i
\(123\) −2.16913 + 4.79205i −0.195584 + 0.432085i
\(124\) −2.71148 4.69643i −0.243498 0.421752i
\(125\) 9.03460i 0.808079i
\(126\) 3.58173 7.08317i 0.319086 0.631019i
\(127\) −10.7047 −0.949889 −0.474945 0.880016i \(-0.657532\pi\)
−0.474945 + 0.880016i \(0.657532\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 8.06417 + 3.65026i 0.710010 + 0.321387i
\(130\) −8.17389 4.11159i −0.716897 0.360611i
\(131\) 3.16842 + 5.48787i 0.276826 + 0.479478i 0.970594 0.240721i \(-0.0773839\pi\)
−0.693768 + 0.720199i \(0.744051\pi\)
\(132\) −0.451365 4.56559i −0.0392863 0.397384i
\(133\) 0.476931 + 1.18738i 0.0413551 + 0.102959i
\(134\) 1.59599i 0.137873i
\(135\) −9.63404 9.00335i −0.829166 0.774885i
\(136\) 1.84623 3.19777i 0.158313 0.274206i
\(137\) 8.84134 15.3136i 0.755367 1.30833i −0.189825 0.981818i \(-0.560792\pi\)
0.945192 0.326515i \(-0.105874\pi\)
\(138\) −4.77219 6.65443i −0.406236 0.566462i
\(139\) 16.0938i 1.36506i 0.730858 + 0.682530i \(0.239120\pi\)
−0.730858 + 0.682530i \(0.760880\pi\)
\(140\) −0.947916 + 6.64682i −0.0801135 + 0.561759i
\(141\) 13.2592 1.31084i 1.11663 0.110392i
\(142\) 6.45138 + 11.1741i 0.541388 + 0.937711i
\(143\) −4.29163 + 8.53180i −0.358884 + 0.713465i
\(144\) 0.962231 2.84150i 0.0801859 0.236792i
\(145\) 8.79813 + 15.2388i 0.730645 + 1.26551i
\(146\) −13.1489 −1.08821
\(147\) 9.20752 + 7.88807i 0.759423 + 0.650597i
\(148\) 6.81356i 0.560071i
\(149\) 1.28692 + 2.22901i 0.105429 + 0.182608i 0.913913 0.405910i \(-0.133045\pi\)
−0.808485 + 0.588517i \(0.799712\pi\)
\(150\) 2.27193 + 1.02839i 0.185502 + 0.0839677i
\(151\) 3.68114 + 2.12531i 0.299567 + 0.172955i 0.642248 0.766497i \(-0.278002\pi\)
−0.342681 + 0.939452i \(0.611335\pi\)
\(152\) 0.241819 + 0.418842i 0.0196141 + 0.0339726i
\(153\) −10.8629 + 2.16907i −0.878217 + 0.175359i
\(154\) 6.93786 + 0.989422i 0.559069 + 0.0797299i
\(155\) 13.7618i 1.10537i
\(156\) −4.85719 + 3.92527i −0.388886 + 0.314273i
\(157\) −0.823957 0.475712i −0.0657589 0.0379659i 0.466760 0.884384i \(-0.345421\pi\)
−0.532519 + 0.846418i \(0.678755\pi\)
\(158\) 3.75864 6.51016i 0.299022 0.517921i
\(159\) 9.48212 + 13.2220i 0.751981 + 1.04857i
\(160\) 2.53768i 0.200621i
\(161\) 11.6072 4.66220i 0.914772 0.367433i
\(162\) −8.30985 + 3.45636i −0.652883 + 0.271558i
\(163\) −4.74897 + 2.74182i −0.371968 + 0.214756i −0.674318 0.738441i \(-0.735562\pi\)
0.302350 + 0.953197i \(0.402229\pi\)
\(164\) −2.63006 1.51847i −0.205373 0.118572i
\(165\) 4.80104 10.6065i 0.373761 0.825714i
\(166\) −2.68487 + 1.55011i −0.208386 + 0.120312i
\(167\) 6.15740i 0.476474i −0.971207 0.238237i \(-0.923431\pi\)
0.971207 0.238237i \(-0.0765694\pi\)
\(168\) 3.86618 + 2.46021i 0.298282 + 0.189809i
\(169\) 12.9140 1.49278i 0.993385 0.114829i
\(170\) 8.11491 4.68514i 0.622385 0.359334i
\(171\) 0.465371 1.37425i 0.0355878 0.105092i
\(172\) −2.55531 + 4.42592i −0.194840 + 0.337473i
\(173\) 3.45361 + 5.98183i 0.262573 + 0.454790i 0.966925 0.255061i \(-0.0820955\pi\)
−0.704352 + 0.709851i \(0.748762\pi\)
\(174\) 11.9518 1.18158i 0.906061 0.0895753i
\(175\) −2.35139 + 2.99708i −0.177749 + 0.226558i
\(176\) 2.64880 0.199661
\(177\) 5.81040 + 8.10211i 0.436736 + 0.608992i
\(178\) 2.37997 + 1.37408i 0.178386 + 0.102991i
\(179\) 1.49413 + 0.862637i 0.111677 + 0.0644765i 0.554798 0.831985i \(-0.312796\pi\)
−0.443121 + 0.896462i \(0.646129\pi\)
\(180\) 5.72010 5.02383i 0.426351 0.374454i
\(181\) 22.0637i 1.63998i −0.572376 0.819991i \(-0.693978\pi\)
0.572376 0.819991i \(-0.306022\pi\)
\(182\) −4.05874 8.63288i −0.300854 0.639912i
\(183\) 8.46346 0.836717i 0.625637 0.0618519i
\(184\) 4.09436 2.36388i 0.301840 0.174268i
\(185\) −8.64531 + 14.9741i −0.635616 + 1.10092i
\(186\) −8.55703 3.87335i −0.627432 0.284008i
\(187\) −4.89029 8.47023i −0.357614 0.619405i
\(188\) 7.69252i 0.561035i
\(189\) −2.10838 13.5851i −0.153362 0.988170i
\(190\) 1.22732i 0.0890389i
\(191\) 22.6677 13.0872i 1.64018 0.946957i 0.659409 0.751785i \(-0.270807\pi\)
0.980769 0.195172i \(-0.0625266\pi\)
\(192\) 1.57792 + 0.714250i 0.113877 + 0.0515466i
\(193\) −1.84511 1.06527i −0.132814 0.0766801i 0.432121 0.901816i \(-0.357765\pi\)
−0.564935 + 0.825136i \(0.691099\pi\)
\(194\) 2.95792 + 5.12327i 0.212366 + 0.367829i
\(195\) −15.6552 + 2.46355i −1.12109 + 0.176418i
\(196\) −5.05508 + 4.84212i −0.361077 + 0.345866i
\(197\) 4.36762 0.311180 0.155590 0.987822i \(-0.450272\pi\)
0.155590 + 0.987822i \(0.450272\pi\)
\(198\) −5.24381 5.97056i −0.372661 0.424309i
\(199\) −23.1724 13.3786i −1.64265 0.948383i −0.979887 0.199551i \(-0.936052\pi\)
−0.662760 0.748832i \(-0.730615\pi\)
\(200\) −0.719909 + 1.24692i −0.0509053 + 0.0881705i
\(201\) −1.61099 2.24639i −0.113631 0.158448i
\(202\) −13.8638 −0.975455
\(203\) −2.59010 + 18.1619i −0.181789 + 1.27471i
\(204\) −0.629210 6.36451i −0.0440535 0.445604i
\(205\) −3.85338 6.67425i −0.269132 0.466150i
\(206\) −7.90784 4.56559i −0.550965 0.318100i
\(207\) −13.4339 4.54920i −0.933723 0.316191i
\(208\) −1.97937 3.01365i −0.137244 0.208959i
\(209\) 1.28106 0.0886125
\(210\) 5.37507 + 10.3124i 0.370915 + 0.711620i
\(211\) −17.3315 −1.19315 −0.596575 0.802557i \(-0.703472\pi\)
−0.596575 + 0.802557i \(0.703472\pi\)
\(212\) −8.13530 + 4.69692i −0.558735 + 0.322586i
\(213\) 20.3596 + 9.21580i 1.39502 + 0.631456i
\(214\) −6.73065 3.88594i −0.460098 0.265638i
\(215\) −11.2316 + 6.48455i −0.765987 + 0.442243i
\(216\) −1.51384 4.97074i −0.103004 0.338216i
\(217\) 8.85634 11.2883i 0.601207 0.766298i
\(218\) 13.6544i 0.924790i
\(219\) −18.5074 + 13.2725i −1.25062 + 0.896874i
\(220\) 5.82125 + 3.36090i 0.392468 + 0.226592i
\(221\) −5.98259 + 11.8935i −0.402433 + 0.800040i
\(222\) 6.87759 + 9.59022i 0.461594 + 0.643654i
\(223\) 4.35497 0.291630 0.145815 0.989312i \(-0.453420\pi\)
0.145815 + 0.989312i \(0.453420\pi\)
\(224\) −1.63312 + 2.08157i −0.109117 + 0.139081i
\(225\) 4.23584 0.845796i 0.282389 0.0563864i
\(226\) 17.7738 10.2617i 1.18230 0.682600i
\(227\) −17.3580 10.0217i −1.15209 0.665160i −0.202696 0.979242i \(-0.564970\pi\)
−0.949396 + 0.314081i \(0.898304\pi\)
\(228\) 0.763143 + 0.345438i 0.0505404 + 0.0228772i
\(229\) 13.3120 + 23.0571i 0.879683 + 1.52365i 0.851689 + 0.524047i \(0.175578\pi\)
0.0279931 + 0.999608i \(0.491088\pi\)
\(230\) 11.9975 0.791095
\(231\) 10.7639 5.61043i 0.708213 0.369139i
\(232\) 6.93400i 0.455239i
\(233\) 20.2573 11.6956i 1.32710 0.766203i 0.342252 0.939608i \(-0.388810\pi\)
0.984850 + 0.173406i \(0.0554772\pi\)
\(234\) −2.87444 + 10.4277i −0.187908 + 0.681682i
\(235\) −9.76058 + 16.9058i −0.636710 + 1.10281i
\(236\) −4.98510 + 2.87815i −0.324503 + 0.187352i
\(237\) −1.28097 12.9572i −0.0832082 0.841658i
\(238\) 9.67148 + 1.37927i 0.626909 + 0.0894047i
\(239\) −10.6771 −0.690642 −0.345321 0.938485i \(-0.612230\pi\)
−0.345321 + 0.938485i \(0.612230\pi\)
\(240\) 2.56153 + 3.57184i 0.165346 + 0.230561i
\(241\) 6.08041 10.5316i 0.391673 0.678398i −0.600997 0.799251i \(-0.705230\pi\)
0.992670 + 0.120853i \(0.0385630\pi\)
\(242\) −1.99194 + 3.45014i −0.128047 + 0.221783i
\(243\) −8.20744 + 13.2528i −0.526507 + 0.850171i
\(244\) 4.91020i 0.314343i
\(245\) −17.2534 + 4.22741i −1.10228 + 0.270080i
\(246\) −5.23460 + 0.517505i −0.333746 + 0.0329949i
\(247\) −0.957295 1.45752i −0.0609112 0.0927395i
\(248\) 2.71148 4.69643i 0.172179 0.298223i
\(249\) −2.21433 + 4.89191i −0.140327 + 0.310012i
\(250\) 7.82419 4.51730i 0.494845 0.285699i
\(251\) −25.7551 −1.62565 −0.812825 0.582508i \(-0.802072\pi\)
−0.812825 + 0.582508i \(0.802072\pi\)
\(252\) 7.92506 0.439716i 0.499232 0.0276995i
\(253\) 12.5229i 0.787307i
\(254\) −5.35236 9.27055i −0.335837 0.581686i
\(255\) 6.69273 14.7856i 0.419115 0.925911i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 8.74076 + 15.1394i 0.545233 + 0.944372i 0.998592 + 0.0530439i \(0.0168923\pi\)
−0.453359 + 0.891328i \(0.649774\pi\)
\(258\) 0.870869 + 8.80890i 0.0542179 + 0.548418i
\(259\) −16.7280 + 6.71907i −1.03943 + 0.417503i
\(260\) −0.526198 9.13459i −0.0326334 0.566503i
\(261\) 15.6297 13.7272i 0.967453 0.849692i
\(262\) −3.16842 + 5.48787i −0.195746 + 0.339042i
\(263\) −17.8986 10.3338i −1.10368 0.637208i −0.166493 0.986043i \(-0.553244\pi\)
−0.937184 + 0.348834i \(0.886578\pi\)
\(264\) 3.72824 2.67369i 0.229457 0.164554i
\(265\) −23.8385 −1.46439
\(266\) −0.789836 + 1.00672i −0.0484280 + 0.0617262i
\(267\) 4.73684 0.468295i 0.289890 0.0286592i
\(268\) 1.38217 0.797996i 0.0844295 0.0487454i
\(269\) −0.237662 + 0.411643i −0.0144905 + 0.0250983i −0.873180 0.487398i \(-0.837946\pi\)
0.858689 + 0.512497i \(0.171279\pi\)
\(270\) 2.98011 12.8450i 0.181364 0.781722i
\(271\) −0.772450 1.33792i −0.0469230 0.0812730i 0.841610 0.540086i \(-0.181608\pi\)
−0.888533 + 0.458813i \(0.848275\pi\)
\(272\) 3.69246 0.223888
\(273\) −14.4268 8.05407i −0.873148 0.487454i
\(274\) 17.6827 1.06825
\(275\) 1.90689 + 3.30284i 0.114990 + 0.199169i
\(276\) 3.37680 7.46005i 0.203260 0.449043i
\(277\) 14.0171 24.2784i 0.842209 1.45875i −0.0458149 0.998950i \(-0.514588\pi\)
0.888023 0.459798i \(-0.152078\pi\)
\(278\) −13.9377 + 8.04691i −0.835925 + 0.482622i
\(279\) −15.9540 + 3.18563i −0.955139 + 0.190718i
\(280\) −6.23027 + 2.50249i −0.372330 + 0.149552i
\(281\) −30.3889 −1.81285 −0.906426 0.422365i \(-0.861200\pi\)
−0.906426 + 0.422365i \(0.861200\pi\)
\(282\) 7.76482 + 10.8274i 0.462388 + 0.644762i
\(283\) 6.07652 + 3.50828i 0.361212 + 0.208546i 0.669612 0.742711i \(-0.266460\pi\)
−0.308400 + 0.951257i \(0.599794\pi\)
\(284\) −6.45138 + 11.1741i −0.382819 + 0.663062i
\(285\) 1.23885 + 1.72747i 0.0733832 + 0.102327i
\(286\) −9.53457 + 0.549239i −0.563791 + 0.0324772i
\(287\) 1.13441 7.95449i 0.0669618 0.469539i
\(288\) 2.94193 0.587433i 0.173355 0.0346148i
\(289\) 1.68286 + 2.91480i 0.0989918 + 0.171459i
\(290\) −8.79813 + 15.2388i −0.516644 + 0.894854i
\(291\) 9.33476 + 4.22539i 0.547213 + 0.247697i
\(292\) −6.57447 11.3873i −0.384742 0.666393i
\(293\) 32.4228i 1.89416i 0.321000 + 0.947079i \(0.395981\pi\)
−0.321000 + 0.947079i \(0.604019\pi\)
\(294\) −2.22751 + 11.9180i −0.129911 + 0.695071i
\(295\) −14.6076 −0.850490
\(296\) −5.90071 + 3.40678i −0.342972 + 0.198015i
\(297\) −13.4074 3.11060i −0.777979 0.180495i
\(298\) −1.28692 + 2.22901i −0.0745493 + 0.129123i
\(299\) −14.2478 + 9.35797i −0.823974 + 0.541186i
\(300\) 0.245351 + 2.48174i 0.0141653 + 0.143283i
\(301\) −13.3860 1.90900i −0.771555 0.110033i
\(302\) 4.25062i 0.244595i
\(303\) −19.5136 + 13.9941i −1.12103 + 0.803941i
\(304\) −0.241819 + 0.418842i −0.0138692 + 0.0240222i
\(305\) −6.23026 + 10.7911i −0.356743 + 0.617898i
\(306\) −7.30995 8.32305i −0.417882 0.475797i
\(307\) 30.0357 1.71423 0.857113 0.515128i \(-0.172256\pi\)
0.857113 + 0.515128i \(0.172256\pi\)
\(308\) 2.61207 + 6.50308i 0.148836 + 0.370547i
\(309\) −15.7390 + 1.55599i −0.895358 + 0.0885172i
\(310\) 11.9180 6.88088i 0.676898 0.390808i
\(311\) −3.19493 + 5.53379i −0.181168 + 0.313792i −0.942279 0.334830i \(-0.891321\pi\)
0.761111 + 0.648622i \(0.224654\pi\)
\(312\) −5.82798 2.24381i −0.329944 0.127031i
\(313\) 8.58761 4.95806i 0.485400 0.280246i −0.237264 0.971445i \(-0.576251\pi\)
0.722664 + 0.691199i \(0.242917\pi\)
\(314\) 0.951424i 0.0536920i
\(315\) 17.9748 + 9.08928i 1.01277 + 0.512123i
\(316\) 7.51729 0.422880
\(317\) −15.9691 27.6594i −0.896916 1.55350i −0.831415 0.555652i \(-0.812469\pi\)
−0.0655007 0.997853i \(-0.520864\pi\)
\(318\) −6.70955 + 14.8228i −0.376253 + 0.831219i
\(319\) 15.9061 + 9.18337i 0.890569 + 0.514170i
\(320\) −2.19770 + 1.26884i −0.122855 + 0.0709303i
\(321\) −13.3960 + 1.32436i −0.747692 + 0.0739186i
\(322\) 9.84116 + 7.72099i 0.548427 + 0.430274i
\(323\) 1.78581 0.0993652
\(324\) −7.14822 5.46836i −0.397123 0.303798i
\(325\) 2.33282 4.63767i 0.129402 0.257252i
\(326\) −4.74897 2.74182i −0.263021 0.151855i
\(327\) −13.7827 19.2188i −0.762184 1.06280i
\(328\) 3.03693i 0.167687i
\(329\) −18.8860 + 7.58585i −1.04122 + 0.418222i
\(330\) 11.5860 1.14542i 0.637789 0.0630533i
\(331\) −13.1995 + 7.62074i −0.725511 + 0.418874i −0.816778 0.576953i \(-0.804242\pi\)
0.0912670 + 0.995826i \(0.470908\pi\)
\(332\) −2.68487 1.55011i −0.147351 0.0850732i
\(333\) 19.3607 + 6.55621i 1.06096 + 0.359278i
\(334\) 5.33246 3.07870i 0.291779 0.168459i
\(335\) 4.05012 0.221282
\(336\) −0.197515 + 4.57832i −0.0107753 + 0.249768i
\(337\) 23.2445 1.26621 0.633103 0.774067i \(-0.281781\pi\)
0.633103 + 0.774067i \(0.281781\pi\)
\(338\) 7.74979 + 10.4375i 0.421533 + 0.567724i
\(339\) 14.6589 32.3845i 0.796161 1.75888i
\(340\) 8.11491 + 4.68514i 0.440093 + 0.254088i
\(341\) −7.18217 12.4399i −0.388936 0.673657i
\(342\) 1.42282 0.284104i 0.0769375 0.0153626i
\(343\) −16.8729 7.63579i −0.911051 0.412294i
\(344\) −5.11062 −0.275546
\(345\) 16.8868 12.1103i 0.909155 0.651997i
\(346\) −3.45361 + 5.98183i −0.185667 + 0.321585i
\(347\) 21.2374 + 12.2614i 1.14008 + 0.658226i 0.946451 0.322848i \(-0.104640\pi\)
0.193631 + 0.981074i \(0.437974\pi\)
\(348\) 6.99916 + 9.75974i 0.375194 + 0.523177i
\(349\) −1.10347 −0.0590671 −0.0295336 0.999564i \(-0.509402\pi\)
−0.0295336 + 0.999564i \(0.509402\pi\)
\(350\) −3.77125 0.537825i −0.201582 0.0287479i
\(351\) 6.47991 + 17.5787i 0.345872 + 0.938282i
\(352\) 1.32440 + 2.29393i 0.0705907 + 0.122267i
\(353\) −5.34237 3.08442i −0.284346 0.164167i 0.351043 0.936359i \(-0.385827\pi\)
−0.635389 + 0.772192i \(0.719160\pi\)
\(354\) −4.11144 + 9.08301i −0.218520 + 0.482756i
\(355\) −28.3563 + 16.3715i −1.50500 + 0.868911i
\(356\) 2.74815i 0.145652i
\(357\) 15.0050 7.82102i 0.794151 0.413933i
\(358\) 1.72527i 0.0911836i
\(359\) 6.24235 + 10.8121i 0.329459 + 0.570639i 0.982405 0.186765i \(-0.0598004\pi\)
−0.652946 + 0.757405i \(0.726467\pi\)
\(360\) 7.21081 + 2.44183i 0.380043 + 0.128696i
\(361\) 9.38305 16.2519i 0.493845 0.855364i
\(362\) 19.1077 11.0319i 1.00428 0.579821i
\(363\) 0.678868 + 6.86680i 0.0356313 + 0.360413i
\(364\) 5.44692 7.83141i 0.285496 0.410478i
\(365\) 33.3678i 1.74655i
\(366\) 4.95635 + 6.91121i 0.259072 + 0.361255i
\(367\) 20.5085 + 11.8406i 1.07053 + 0.618073i 0.928327 0.371764i \(-0.121247\pi\)
0.142207 + 0.989837i \(0.454580\pi\)
\(368\) 4.09436 + 2.36388i 0.213433 + 0.123226i
\(369\) −6.84545 + 6.01220i −0.356360 + 0.312983i
\(370\) −17.2906 −0.898897
\(371\) −19.5539 15.3412i −1.01519 0.796477i
\(372\) −0.924094 9.34729i −0.0479121 0.484634i
\(373\) 1.11557 + 1.93222i 0.0577619 + 0.100046i 0.893460 0.449142i \(-0.148270\pi\)
−0.835699 + 0.549188i \(0.814937\pi\)
\(374\) 4.89029 8.47023i 0.252871 0.437985i
\(375\) 6.45296 14.2559i 0.333230 0.736173i
\(376\) −6.66192 + 3.84626i −0.343562 + 0.198356i
\(377\) −1.43779 24.9595i −0.0740500 1.28548i
\(378\) 10.7108 8.61846i 0.550906 0.443286i
\(379\) 7.75732i 0.398467i −0.979952 0.199233i \(-0.936155\pi\)
0.979952 0.199233i \(-0.0638452\pi\)
\(380\) −1.06289 + 0.613658i −0.0545250 + 0.0314800i
\(381\) −16.8912 7.64584i −0.865364 0.391708i
\(382\) 22.6677 + 13.0872i 1.15978 + 0.669600i
\(383\) 7.94443 4.58672i 0.405941 0.234370i −0.283103 0.959090i \(-0.591364\pi\)
0.689044 + 0.724719i \(0.258030\pi\)
\(384\) 0.170404 + 1.72365i 0.00869589 + 0.0879595i
\(385\) −2.51084 + 17.6061i −0.127964 + 0.897288i
\(386\) 2.13055i 0.108442i
\(387\) 10.1175 + 11.5197i 0.514299 + 0.585577i
\(388\) −2.95792 + 5.12327i −0.150166 + 0.260095i
\(389\) 29.7827 + 17.1950i 1.51004 + 0.871823i 0.999931 + 0.0117132i \(0.00372851\pi\)
0.510110 + 0.860109i \(0.329605\pi\)
\(390\) −9.96107 12.3260i −0.504399 0.624151i
\(391\) 17.4571i 0.882843i
\(392\) −6.72094 1.95677i −0.339459 0.0988318i
\(393\) 1.07982 + 10.9225i 0.0544699 + 0.550967i
\(394\) 2.18381 + 3.78247i 0.110019 + 0.190558i
\(395\) 16.5207 + 9.53823i 0.831247 + 0.479921i
\(396\) 2.54875 7.52655i 0.128080 0.378223i
\(397\) 6.32491 + 10.9551i 0.317438 + 0.549819i 0.979953 0.199230i \(-0.0638442\pi\)
−0.662515 + 0.749049i \(0.730511\pi\)
\(398\) 26.7572i 1.34122i
\(399\) −0.0955256 + 2.21424i −0.00478226 + 0.110851i
\(400\) −1.43982 −0.0719909
\(401\) 11.1563 + 19.3233i 0.557121 + 0.964962i 0.997735 + 0.0672652i \(0.0214274\pi\)
−0.440614 + 0.897697i \(0.645239\pi\)
\(402\) 1.13994 2.51836i 0.0568549 0.125604i
\(403\) −8.78639 + 17.4674i −0.437681 + 0.870114i
\(404\) −6.93191 12.0064i −0.344875 0.597342i
\(405\) −8.77115 21.0877i −0.435842 1.04786i
\(406\) −17.0237 + 6.83784i −0.844872 + 0.339356i
\(407\) 18.0477i 0.894593i
\(408\) 5.19722 3.72716i 0.257301 0.184522i
\(409\) 15.2106 26.3456i 0.752118 1.30271i −0.194677 0.980867i \(-0.562366\pi\)
0.946794 0.321839i \(-0.104301\pi\)
\(410\) 3.85338 6.67425i 0.190305 0.329618i
\(411\) 24.8887 17.8489i 1.22767 0.880419i
\(412\) 9.13119i 0.449861i
\(413\) −11.9821 9.40071i −0.589602 0.462579i
\(414\) −2.77724 13.9087i −0.136494 0.683577i
\(415\) −3.93368 6.81333i −0.193097 0.334453i
\(416\) 1.62022 3.22101i 0.0794377 0.157923i
\(417\) −11.4950 + 25.3948i −0.562913 + 1.24359i
\(418\) 0.640528 + 1.10943i 0.0313293 + 0.0542639i
\(419\) −22.9563 −1.12149 −0.560744 0.827989i \(-0.689485\pi\)
−0.560744 + 0.827989i \(0.689485\pi\)
\(420\) −6.24323 + 9.81113i −0.304638 + 0.478734i
\(421\) 11.7102i 0.570721i −0.958420 0.285360i \(-0.907887\pi\)
0.958420 0.285360i \(-0.0921133\pi\)
\(422\) −8.66575 15.0095i −0.421842 0.730652i
\(423\) 21.8583 + 7.40199i 1.06279 + 0.359897i
\(424\) −8.13530 4.69692i −0.395085 0.228102i
\(425\) 2.65824 + 4.60420i 0.128944 + 0.223337i
\(426\) 2.19868 + 22.2398i 0.106526 + 1.07752i
\(427\) −12.0551 + 4.84211i −0.583385 + 0.234326i
\(428\) 7.77189i 0.375668i
\(429\) −12.8657 + 10.3972i −0.621162 + 0.501983i
\(430\) −11.2316 6.48455i −0.541635 0.312713i
\(431\) −9.15519 + 15.8573i −0.440990 + 0.763817i −0.997763 0.0668476i \(-0.978706\pi\)
0.556773 + 0.830664i \(0.312039\pi\)
\(432\) 3.54787 3.79640i 0.170697 0.182654i
\(433\) 21.1787i 1.01778i 0.860831 + 0.508891i \(0.169944\pi\)
−0.860831 + 0.508891i \(0.830056\pi\)
\(434\) 14.2041 + 2.02568i 0.681819 + 0.0972355i
\(435\) 2.99847 + 30.3298i 0.143766 + 1.45420i
\(436\) 11.8250 6.82718i 0.566316 0.326963i
\(437\) 1.98019 + 1.14326i 0.0947251 + 0.0546896i
\(438\) −20.7481 9.39164i −0.991380 0.448750i
\(439\) −7.13298 + 4.11823i −0.340439 + 0.196552i −0.660466 0.750856i \(-0.729641\pi\)
0.320027 + 0.947408i \(0.396308\pi\)
\(440\) 6.72180i 0.320449i
\(441\) 8.89472 + 19.0232i 0.423558 + 0.905869i
\(442\) −13.2913 + 0.765647i −0.632204 + 0.0364181i
\(443\) 7.54716 4.35736i 0.358577 0.207024i −0.309880 0.950776i \(-0.600289\pi\)
0.668456 + 0.743752i \(0.266955\pi\)
\(444\) −4.86658 + 10.7513i −0.230958 + 0.510233i
\(445\) −3.48696 + 6.03960i −0.165298 + 0.286304i
\(446\) 2.17749 + 3.77151i 0.103107 + 0.178586i
\(447\) 0.438593 + 4.43640i 0.0207447 + 0.209834i
\(448\) −2.61925 0.373536i −0.123748 0.0176479i
\(449\) 22.6845 1.07055 0.535274 0.844679i \(-0.320208\pi\)
0.535274 + 0.844679i \(0.320208\pi\)
\(450\) 2.85040 + 3.24545i 0.134369 + 0.152992i
\(451\) −6.96650 4.02211i −0.328040 0.189394i
\(452\) 17.7738 + 10.2617i 0.836011 + 0.482671i
\(453\) 4.29056 + 5.98283i 0.201588 + 0.281098i
\(454\) 20.0433i 0.940679i
\(455\) 21.9075 10.2998i 1.02704 0.482862i
\(456\) 0.0824136 + 0.833620i 0.00385937 + 0.0390378i
\(457\) −11.5835 + 6.68771i −0.541851 + 0.312838i −0.745829 0.666138i \(-0.767946\pi\)
0.203978 + 0.978976i \(0.434613\pi\)
\(458\) −13.3120 + 23.0571i −0.622029 + 1.07739i
\(459\) −18.6902 4.33623i −0.872383 0.202398i
\(460\) 5.99877 + 10.3902i 0.279694 + 0.484445i
\(461\) 0.777510i 0.0362123i −0.999836 0.0181061i \(-0.994236\pi\)
0.999836 0.0181061i \(-0.00576367\pi\)
\(462\) 10.2407 + 6.51660i 0.476442 + 0.303180i
\(463\) 3.19686i 0.148571i −0.997237 0.0742854i \(-0.976332\pi\)
0.997237 0.0742854i \(-0.0236676\pi\)
\(464\) −6.00502 + 3.46700i −0.278776 + 0.160951i
\(465\) 9.82933 21.7150i 0.455824 1.00701i
\(466\) 20.2573 + 11.6956i 0.938403 + 0.541787i
\(467\) 0.719079 + 1.24548i 0.0332750 + 0.0576340i 0.882183 0.470906i \(-0.156073\pi\)
−0.848908 + 0.528540i \(0.822740\pi\)
\(468\) −10.4679 + 2.72453i −0.483879 + 0.125942i
\(469\) 3.32217 + 2.60644i 0.153404 + 0.120354i
\(470\) −19.5212 −0.900444
\(471\) −0.960365 1.33915i −0.0442513 0.0617047i
\(472\) −4.98510 2.87815i −0.229458 0.132478i
\(473\) −6.76849 + 11.7234i −0.311216 + 0.539041i
\(474\) 10.5807 7.58793i 0.485989 0.348525i
\(475\) −0.696350 −0.0319507
\(476\) 3.64126 + 9.06538i 0.166897 + 0.415511i
\(477\) 5.51824 + 27.6360i 0.252663 + 1.26536i
\(478\) −5.33853 9.24661i −0.244179 0.422930i
\(479\) −9.04541 5.22237i −0.413295 0.238616i 0.278909 0.960317i \(-0.410027\pi\)
−0.692205 + 0.721701i \(0.743360\pi\)
\(480\) −1.81254 + 4.00427i −0.0827306 + 0.182769i
\(481\) 20.5337 13.4865i 0.936256 0.614932i
\(482\) 12.1608 0.553910
\(483\) 21.6452 + 0.933804i 0.984891 + 0.0424896i
\(484\) −3.98387 −0.181085
\(485\) −13.0012 + 7.50626i −0.590355 + 0.340842i
\(486\) −15.5810 0.481423i −0.706769 0.0218378i
\(487\) 2.08097 + 1.20145i 0.0942979 + 0.0544429i 0.546407 0.837520i \(-0.315995\pi\)
−0.452109 + 0.891962i \(0.649328\pi\)
\(488\) −4.25236 + 2.45510i −0.192495 + 0.111137i
\(489\) −9.45187 + 0.934434i −0.427428 + 0.0422565i
\(490\) −12.2878 12.8282i −0.555104 0.579518i
\(491\) 12.3575i 0.557686i −0.960337 0.278843i \(-0.910049\pi\)
0.960337 0.278843i \(-0.0899509\pi\)
\(492\) −3.06547 4.27455i −0.138202 0.192711i
\(493\) 22.1733 + 12.8018i 0.998635 + 0.576562i
\(494\) 0.783598 1.55780i 0.0352557 0.0700887i
\(495\) 15.1514 13.3071i 0.681004 0.598110i
\(496\) 5.42297 0.243498
\(497\) −33.7956 4.81965i −1.51594 0.216191i
\(498\) −5.34368 + 0.528289i −0.239456 + 0.0236732i
\(499\) −14.9074 + 8.60680i −0.667348 + 0.385293i −0.795071 0.606516i \(-0.792566\pi\)
0.127723 + 0.991810i \(0.459233\pi\)
\(500\) 7.82419 + 4.51730i 0.349909 + 0.202020i
\(501\) 4.39792 9.71591i 0.196485 0.434075i
\(502\) −12.8776 22.3046i −0.574754 0.995503i
\(503\) 31.1852 1.39048 0.695240 0.718778i \(-0.255298\pi\)
0.695240 + 0.718778i \(0.255298\pi\)
\(504\) 4.34334 + 6.64345i 0.193468 + 0.295923i
\(505\) 35.1819i 1.56558i
\(506\) 10.8451 6.26144i 0.482125 0.278355i
\(507\) 21.4436 + 6.86834i 0.952342 + 0.305034i
\(508\) 5.35236 9.27055i 0.237472 0.411314i
\(509\) −4.87130 + 2.81245i −0.215917 + 0.124660i −0.604058 0.796940i \(-0.706451\pi\)
0.388141 + 0.921600i \(0.373117\pi\)
\(510\) 16.1511 1.59673i 0.715182 0.0707045i
\(511\) 21.4738 27.3704i 0.949944 1.21080i
\(512\) −1.00000 −0.0441942
\(513\) 1.71588 1.83608i 0.0757580 0.0810649i
\(514\) −8.74076 + 15.1394i −0.385538 + 0.667772i
\(515\) 11.5860 20.0676i 0.510541 0.884283i
\(516\) −7.19330 + 5.15865i −0.316667 + 0.227097i
\(517\) 20.3759i 0.896133i
\(518\) −14.1829 11.1273i −0.623160 0.488907i
\(519\) 1.17702 + 11.9056i 0.0516654 + 0.522599i
\(520\) 7.64769 5.02300i 0.335373 0.220273i
\(521\) −1.86664 + 3.23312i −0.0817791 + 0.141646i −0.904014 0.427502i \(-0.859394\pi\)
0.822235 + 0.569148i \(0.192727\pi\)
\(522\) 19.7029 + 6.67211i 0.862374 + 0.292030i
\(523\) 20.8918 12.0619i 0.913533 0.527428i 0.0319666 0.999489i \(-0.489823\pi\)
0.881566 + 0.472061i \(0.156490\pi\)
\(524\) −6.33685 −0.276826
\(525\) −5.85099 + 3.04969i −0.255358 + 0.133099i
\(526\) 20.6676i 0.901149i
\(527\) −10.0120 17.3414i −0.436132 0.755402i
\(528\) 4.17960 + 1.89190i 0.181894 + 0.0823345i
\(529\) −0.324129 + 0.561408i −0.0140926 + 0.0244090i
\(530\) −11.9193 20.6448i −0.517740 0.896752i
\(531\) 3.38144 + 16.9346i 0.146742 + 0.734899i
\(532\) −1.26677 0.180656i −0.0549213 0.00783244i
\(533\) 0.629720 + 10.9317i 0.0272762 + 0.473504i
\(534\) 2.77398 + 3.86808i 0.120042 + 0.167388i
\(535\) 9.86128 17.0802i 0.426340 0.738443i
\(536\) 1.38217 + 0.797996i 0.0597007 + 0.0344682i
\(537\) 1.74149 + 2.42836i 0.0751508 + 0.104791i
\(538\) −0.475324 −0.0204927
\(539\) −13.3899 + 12.8258i −0.576743 + 0.552446i
\(540\) 12.6142 3.84165i 0.542827 0.165318i
\(541\) −29.5203 + 17.0435i −1.26917 + 0.732759i −0.974832 0.222941i \(-0.928434\pi\)
−0.294343 + 0.955700i \(0.595101\pi\)
\(542\) 0.772450 1.33792i 0.0331796 0.0574687i
\(543\) 15.7590 34.8149i 0.676283 1.49405i
\(544\) 1.84623 + 3.19777i 0.0791565 + 0.137103i
\(545\) 34.6504 1.48426
\(546\) −0.238360 16.5210i −0.0102009 0.707033i
\(547\) 16.3522 0.699170 0.349585 0.936905i \(-0.386323\pi\)
0.349585 + 0.936905i \(0.386323\pi\)
\(548\) 8.84134 + 15.3136i 0.377683 + 0.654167i
\(549\) 13.9523 + 4.72475i 0.595471 + 0.201647i
\(550\) −1.90689 + 3.30284i −0.0813102 + 0.140833i
\(551\) −2.90425 + 1.67677i −0.123725 + 0.0714328i
\(552\) 8.14900 0.805629i 0.346844 0.0342898i
\(553\) 7.41304 + 18.4557i 0.315235 + 0.784817i
\(554\) 28.0343 1.19106
\(555\) −24.3369 + 17.4531i −1.03304 + 0.740844i
\(556\) −13.9377 8.04691i −0.591088 0.341265i
\(557\) 9.83768 17.0394i 0.416836 0.721981i −0.578784 0.815481i \(-0.696472\pi\)
0.995619 + 0.0935006i \(0.0298057\pi\)
\(558\) −10.7358 12.2237i −0.454483 0.517471i
\(559\) 18.3961 1.05971i 0.778072 0.0448208i
\(560\) −5.28236 4.14433i −0.223220 0.175130i
\(561\) −1.66665 16.8583i −0.0703660 0.711757i
\(562\) −15.1945 26.3176i −0.640940 1.11014i
\(563\) −7.14030 + 12.3674i −0.300928 + 0.521222i −0.976346 0.216212i \(-0.930630\pi\)
0.675419 + 0.737435i \(0.263963\pi\)
\(564\) −5.49439 + 12.1382i −0.231355 + 0.511112i
\(565\) 26.0410 + 45.1043i 1.09555 + 1.89755i
\(566\) 7.01656i 0.294928i
\(567\) 6.37629 22.9422i 0.267779 0.963480i
\(568\) −12.9028 −0.541388
\(569\) 14.4405 8.33720i 0.605376 0.349514i −0.165778 0.986163i \(-0.553013\pi\)
0.771153 + 0.636649i \(0.219680\pi\)
\(570\) −0.876611 + 1.93661i −0.0367172 + 0.0811158i
\(571\) −0.208287 + 0.360764i −0.00871655 + 0.0150975i −0.870351 0.492432i \(-0.836108\pi\)
0.861634 + 0.507530i \(0.169441\pi\)
\(572\) −5.24294 7.98256i −0.219218 0.333768i
\(573\) 45.1155 4.46022i 1.88473 0.186328i
\(574\) 7.45599 2.99482i 0.311207 0.125001i
\(575\) 6.80712i 0.283877i
\(576\) 1.97969 + 2.25407i 0.0824873 + 0.0939194i
\(577\) −1.18972 + 2.06066i −0.0495287 + 0.0857863i −0.889727 0.456493i \(-0.849105\pi\)
0.840198 + 0.542279i \(0.182439\pi\)
\(578\) −1.68286 + 2.91480i −0.0699978 + 0.121240i
\(579\) −2.15057 2.99879i −0.0893747 0.124625i
\(580\) −17.5963 −0.730645
\(581\) 1.15804 8.12024i 0.0480437 0.336884i
\(582\) 1.00808 + 10.1968i 0.0417864 + 0.422672i
\(583\) −21.5488 + 12.4412i −0.892458 + 0.515261i
\(584\) 6.57447 11.3873i 0.272054 0.471211i
\(585\) −26.4622 7.29440i −1.09408 0.301586i
\(586\) −28.0789 + 16.2114i −1.15993 + 0.669686i
\(587\) 28.1076i 1.16013i −0.814572 0.580063i \(-0.803028\pi\)
0.814572 0.580063i \(-0.196972\pi\)
\(588\) −11.4350 + 4.02991i −0.471573 + 0.166191i
\(589\) 2.62275 0.108068
\(590\) −7.30382 12.6506i −0.300694 0.520817i
\(591\) 6.89177 + 3.11957i 0.283489 + 0.128322i
\(592\) −5.90071 3.40678i −0.242518 0.140018i
\(593\) 16.2280 9.36924i 0.666404 0.384749i −0.128309 0.991734i \(-0.540955\pi\)
0.794713 + 0.606986i \(0.207621\pi\)
\(594\) −4.00986 13.1665i −0.164527 0.540228i
\(595\) −3.50014 + 24.5431i −0.143492 + 1.00617i
\(596\) −2.57384 −0.105429
\(597\) −27.0086 37.6613i −1.10539 1.54137i
\(598\) −15.2282 7.66001i −0.622726 0.313241i
\(599\) 0.243067 + 0.140335i 0.00993147 + 0.00573394i 0.504958 0.863144i \(-0.331508\pi\)
−0.495026 + 0.868878i \(0.664841\pi\)
\(600\) −2.02658 + 1.45335i −0.0827346 + 0.0593328i
\(601\) 7.38730i 0.301334i −0.988585 0.150667i \(-0.951858\pi\)
0.988585 0.150667i \(-0.0481421\pi\)
\(602\) −5.03975 12.5471i −0.205405 0.511382i
\(603\) −0.937538 4.69529i −0.0381795 0.191207i
\(604\) −3.68114 + 2.12531i −0.149784 + 0.0864776i
\(605\) −8.75534 5.05490i −0.355955 0.205511i
\(606\) −21.8761 9.90223i −0.888655 0.402251i
\(607\) 22.6313 13.0662i 0.918577 0.530341i 0.0353963 0.999373i \(-0.488731\pi\)
0.883181 + 0.469033i \(0.155397\pi\)
\(608\) −0.483637 −0.0196141
\(609\) −17.0591 + 26.8081i −0.691269 + 1.08632i
\(610\) −12.4605 −0.504511
\(611\) 23.1826 15.2263i 0.937868 0.615991i
\(612\) 3.55300 10.4921i 0.143622 0.424119i
\(613\) −15.4716 8.93253i −0.624892 0.360781i 0.153879 0.988090i \(-0.450823\pi\)
−0.778771 + 0.627308i \(0.784157\pi\)
\(614\) 15.0178 + 26.0117i 0.606071 + 1.04974i
\(615\) −1.31326 13.2837i −0.0529558 0.535652i
\(616\) −4.32580 + 5.51365i −0.174291 + 0.222151i
\(617\) 29.5144 1.18821 0.594103 0.804389i \(-0.297507\pi\)
0.594103 + 0.804389i \(0.297507\pi\)
\(618\) −9.21700 12.8523i −0.370762 0.516997i
\(619\) 16.8277 29.1465i 0.676363 1.17149i −0.299706 0.954032i \(-0.596888\pi\)
0.976069 0.217463i \(-0.0697782\pi\)
\(620\) 11.9180 + 6.88088i 0.478640 + 0.276343i
\(621\) −17.9485 16.7735i −0.720247 0.673097i
\(622\) −6.38987 −0.256210
\(623\) −6.74700 + 2.71004i −0.270313 + 0.108576i
\(624\) −0.970788 6.16908i −0.0388626 0.246961i
\(625\) 15.0630 + 26.0899i 0.602520 + 1.04360i
\(626\) 8.58761 + 4.95806i 0.343230 + 0.198164i
\(627\) 2.02141 + 0.914995i 0.0807274 + 0.0365414i
\(628\) 0.823957 0.475712i 0.0328795 0.0189830i
\(629\) 25.1588i 1.00315i
\(630\) 1.11586 + 20.1113i 0.0444569 + 0.801252i
\(631\) 41.0344i 1.63356i 0.576953 + 0.816778i \(0.304242\pi\)
−0.576953 + 0.816778i \(0.695758\pi\)
\(632\) 3.75864 + 6.51016i 0.149511 + 0.258960i
\(633\) −27.3478 12.3790i −1.08698 0.492022i
\(634\) 15.9691 27.6594i 0.634215 1.09849i
\(635\) 23.5257 13.5826i 0.933589 0.539008i
\(636\) −16.1917 + 1.60075i −0.642041 + 0.0634737i
\(637\) 24.5983 + 5.64995i 0.974622 + 0.223859i
\(638\) 18.3667i 0.727146i
\(639\) 25.5435 + 29.0837i 1.01049 + 1.15053i
\(640\) −2.19770 1.26884i −0.0868715 0.0501553i
\(641\) 10.8867 + 6.28542i 0.429998 + 0.248259i 0.699346 0.714784i \(-0.253475\pi\)
−0.269348 + 0.963043i \(0.586808\pi\)
\(642\) −7.84493 10.9391i −0.309615 0.431732i
\(643\) 44.1388 1.74067 0.870333 0.492464i \(-0.163904\pi\)
0.870333 + 0.492464i \(0.163904\pi\)
\(644\) −1.76599 + 12.3832i −0.0695898 + 0.487966i
\(645\) −22.3542 + 2.20999i −0.880195 + 0.0870181i
\(646\) 0.892906 + 1.54656i 0.0351309 + 0.0608485i
\(647\) −6.42771 + 11.1331i −0.252699 + 0.437688i −0.964268 0.264928i \(-0.914652\pi\)
0.711569 + 0.702616i \(0.247985\pi\)
\(648\) 1.16162 8.92472i 0.0456329 0.350596i
\(649\) −13.2045 + 7.62364i −0.518323 + 0.299254i
\(650\) 5.18275 0.298552i 0.203284 0.0117102i
\(651\) 22.0373 11.4864i 0.863709 0.450188i
\(652\) 5.48364i 0.214756i
\(653\) −38.8978 + 22.4576i −1.52219 + 0.878835i −0.522531 + 0.852620i \(0.675012\pi\)
−0.999656 + 0.0262147i \(0.991655\pi\)
\(654\) 9.75263 21.5456i 0.381358 0.842498i
\(655\) −13.9265 8.04045i −0.544152 0.314166i
\(656\) 2.63006 1.51847i 0.102687 0.0592862i
\(657\) −38.6832 + 7.72412i −1.50918 + 0.301347i
\(658\) −16.0125 12.5628i −0.624233 0.489749i
\(659\) 4.26760i 0.166242i 0.996539 + 0.0831210i \(0.0264888\pi\)
−0.996539 + 0.0831210i \(0.973511\pi\)
\(660\) 6.78497 + 9.46107i 0.264105 + 0.368272i
\(661\) 6.63233 11.4875i 0.257968 0.446814i −0.707729 0.706484i \(-0.750280\pi\)
0.965697 + 0.259670i \(0.0836138\pi\)
\(662\) −13.1995 7.62074i −0.513013 0.296188i
\(663\) −17.9350 + 14.4939i −0.696537 + 0.562897i
\(664\) 3.10022i 0.120312i
\(665\) −2.55474 2.00435i −0.0990687 0.0777254i
\(666\) 4.00250 + 20.0450i 0.155094 + 0.776727i
\(667\) 16.3911 + 28.3903i 0.634668 + 1.09928i
\(668\) 5.33246 + 3.07870i 0.206319 + 0.119118i
\(669\) 6.87182 + 3.11054i 0.265680 + 0.120260i
\(670\) 2.02506 + 3.50751i 0.0782349 + 0.135507i
\(671\) 13.0061i 0.502096i
\(672\) −4.06370 + 2.11811i −0.156760 + 0.0817077i
\(673\) 5.86953 0.226254 0.113127 0.993581i \(-0.463913\pi\)
0.113127 + 0.993581i \(0.463913\pi\)
\(674\) 11.6222 + 20.1303i 0.447672 + 0.775390i
\(675\) 7.28795 + 1.69084i 0.280513 + 0.0650806i
\(676\) −5.16422 + 11.9302i −0.198624 + 0.458856i
\(677\) −18.4065 31.8810i −0.707419 1.22529i −0.965811 0.259245i \(-0.916526\pi\)
0.258393 0.966040i \(-0.416807\pi\)
\(678\) 35.3752 3.49728i 1.35858 0.134312i
\(679\) −15.4951 2.20978i −0.594646 0.0848037i
\(680\) 9.37029i 0.359334i
\(681\) −20.2317 28.2114i −0.775279 1.08106i
\(682\) 7.18217 12.4399i 0.275019 0.476348i
\(683\) 5.49782 9.52250i 0.210368 0.364368i −0.741462 0.670995i \(-0.765867\pi\)
0.951830 + 0.306627i \(0.0992004\pi\)
\(684\) 0.957454 + 1.09015i 0.0366092 + 0.0416829i
\(685\) 44.8730i 1.71451i
\(686\) −1.82366 18.4303i −0.0696278 0.703670i
\(687\) 4.53684 + 45.8904i 0.173091 + 1.75083i
\(688\) −2.55531 4.42592i −0.0974202 0.168737i
\(689\) 30.2576 + 15.2201i 1.15272 + 0.579838i
\(690\) 18.9312 + 8.56925i 0.720700 + 0.326226i
\(691\) −17.4124 30.1592i −0.662400 1.14731i −0.979983 0.199081i \(-0.936204\pi\)
0.317583 0.948231i \(-0.397129\pi\)
\(692\) −6.90723 −0.262573
\(693\) 20.9919 1.16472i 0.797416 0.0442440i
\(694\) 24.5228i 0.930873i
\(695\) −20.4205 35.3693i −0.774593 1.34163i
\(696\) −4.95261 + 10.9413i −0.187728 + 0.414730i
\(697\) −9.71140 5.60688i −0.367846 0.212376i
\(698\) −0.551733 0.955629i −0.0208834 0.0361711i
\(699\) 40.3181 3.98594i 1.52497 0.150762i
\(700\) −1.41985 3.53491i −0.0536654 0.133607i
\(701\) 32.7821i 1.23816i 0.785327 + 0.619081i \(0.212495\pi\)
−0.785327 + 0.619081i \(0.787505\pi\)
\(702\) −11.9837 + 14.4011i −0.452294 + 0.543535i
\(703\) −2.85380 1.64764i −0.107633 0.0621421i
\(704\) −1.32440 + 2.29393i −0.0499151 + 0.0864556i
\(705\) −27.4764 + 19.7046i −1.03482 + 0.742119i
\(706\) 6.16884i 0.232167i
\(707\) 22.6412 28.8585i 0.851512 1.08534i
\(708\) −9.92184 + 0.980896i −0.372885 + 0.0368643i
\(709\) −30.7026 + 17.7261i −1.15306 + 0.665719i −0.949631 0.313371i \(-0.898542\pi\)
−0.203428 + 0.979090i \(0.565208\pi\)
\(710\) −28.3563 16.3715i −1.06419 0.614413i
\(711\) 7.23337 21.3604i 0.271272 0.801076i
\(712\) −2.37997 + 1.37408i −0.0891931 + 0.0514956i
\(713\) 25.6385i 0.960169i
\(714\) 14.2757 + 9.08424i 0.534256 + 0.339969i
\(715\) −1.39379 24.1957i −0.0521249 0.904867i
\(716\) −1.49413 + 0.862637i −0.0558383 + 0.0322383i
\(717\) −16.8476 7.62609i −0.629185 0.284802i
\(718\) −6.24235 + 10.8121i −0.232962 + 0.403503i
\(719\) −22.2486 38.5357i −0.829733 1.43714i −0.898248 0.439489i \(-0.855159\pi\)
0.0685151 0.997650i \(-0.478174\pi\)
\(720\) 1.49072 + 7.46566i 0.0555557 + 0.278229i
\(721\) 22.4180 9.00456i 0.834891 0.335348i
\(722\) 18.7661 0.698402
\(723\) 17.1166 12.2751i 0.636573 0.456516i
\(724\) 19.1077 + 11.0319i 0.710133 + 0.409996i
\(725\) −8.64614 4.99185i −0.321109 0.185393i
\(726\) −5.60739 + 4.02132i −0.208110 + 0.149245i
\(727\) 4.60691i 0.170861i 0.996344 + 0.0854305i \(0.0272265\pi\)
−0.996344 + 0.0854305i \(0.972773\pi\)
\(728\) 9.50566 + 0.801464i 0.352303 + 0.0297042i
\(729\) −22.4166 + 15.0498i −0.830243 + 0.557402i
\(730\) 28.8974 16.6839i 1.06954 0.617499i
\(731\) −9.43538 + 16.3426i −0.348980 + 0.604451i
\(732\) −3.50711 + 7.74793i −0.129626 + 0.286372i
\(733\) 0.675297 + 1.16965i 0.0249427 + 0.0432020i 0.878227 0.478243i \(-0.158726\pi\)
−0.853285 + 0.521445i \(0.825393\pi\)
\(734\) 23.6812i 0.874088i
\(735\) −30.2440 5.65271i −1.11557 0.208503i
\(736\) 4.72776i 0.174268i
\(737\) 3.66109 2.11373i 0.134858 0.0778603i
\(738\) −8.62944 2.92223i −0.317654 0.107569i
\(739\) −21.6402 12.4940i −0.796049 0.459599i 0.0460384 0.998940i \(-0.485340\pi\)
−0.842088 + 0.539340i \(0.818674\pi\)
\(740\) −8.64531 14.9741i −0.317808 0.550460i
\(741\) −0.469509 2.98360i −0.0172479 0.109605i
\(742\) 3.50894 24.6048i 0.128817 0.903271i
\(743\) −45.1839 −1.65764 −0.828818 0.559519i \(-0.810986\pi\)
−0.828818 + 0.559519i \(0.810986\pi\)
\(744\) 7.63294 5.47393i 0.279837 0.200684i
\(745\) −5.65652 3.26579i −0.207239 0.119649i
\(746\) −1.11557 + 1.93222i −0.0408438 + 0.0707435i
\(747\) −6.98809 + 6.13748i −0.255681 + 0.224559i
\(748\) 9.78058 0.357614
\(749\) 19.0808 7.66412i 0.697198 0.280041i
\(750\) 15.5725 1.53953i 0.568626 0.0562157i
\(751\) −13.1428 22.7639i −0.479586 0.830667i 0.520140 0.854081i \(-0.325880\pi\)
−0.999726 + 0.0234139i \(0.992546\pi\)
\(752\) −6.66192 3.84626i −0.242935 0.140259i
\(753\) −40.6397 18.3956i −1.48099 0.670373i
\(754\) 20.8967 13.7249i 0.761012 0.499832i
\(755\) −10.7867 −0.392568
\(756\) 12.8192 + 4.96664i 0.466231 + 0.180635i
\(757\) −15.5743 −0.566056 −0.283028 0.959112i \(-0.591339\pi\)
−0.283028 + 0.959112i \(0.591339\pi\)
\(758\) 6.71804 3.87866i 0.244010 0.140879i
\(759\) 8.94447 19.7602i 0.324664 0.717249i
\(760\) −1.06289 0.613658i −0.0385550 0.0222597i
\(761\) −12.9920 + 7.50093i −0.470959 + 0.271909i −0.716641 0.697442i \(-0.754321\pi\)
0.245682 + 0.969351i \(0.420988\pi\)
\(762\) −1.82412 18.4512i −0.0660810 0.668415i
\(763\) 28.4225 + 22.2992i 1.02896 + 0.807284i
\(764\) 26.1744i 0.946957i
\(765\) 21.1212 18.5503i 0.763640 0.670688i
\(766\) 7.94443 + 4.58672i 0.287044 + 0.165725i
\(767\) 18.5411 + 9.32646i 0.669480 + 0.336759i
\(768\) −1.40752 + 1.00940i −0.0507895 + 0.0364235i
\(769\) −34.6475 −1.24942 −0.624710 0.780857i \(-0.714783\pi\)
−0.624710 + 0.780857i \(0.714783\pi\)
\(770\) −16.5027 + 6.62859i −0.594717 + 0.238878i
\(771\) 2.97892 + 30.1320i 0.107283 + 1.08518i
\(772\) 1.84511 1.06527i 0.0664069 0.0383400i
\(773\) −0.0831890 0.0480292i −0.00299210 0.00172749i 0.498503 0.866888i \(-0.333883\pi\)
−0.501495 + 0.865160i \(0.667217\pi\)
\(774\) −4.91759 + 14.5218i −0.176759 + 0.521976i
\(775\) 3.90404 + 6.76200i