Properties

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

Related objects

Downloads

Learn more

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.a.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} +(1.62022 + 3.22101i) 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} +(-5.53177 - 2.89819i) 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} +(1.97937 - 3.01365i) 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} +(-8.17389 + 4.11159i) 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} +(0.255978 + 6.23975i) 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} +(-9.35076 - 1.88769i) 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 0.0797131 0.996818i \(-0.474600\pi\)
0.903126 + 0.429375i \(0.141266\pi\)
\(6\) −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 −0.594321 0.804228i \(-0.702579\pi\)
0.993642 + 0.112583i \(0.0359125\pi\)
\(12\) −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 0.892430 0.451185i \(-0.148999\pi\)
−0.836953 + 0.547274i \(0.815665\pi\)
\(20\) 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
\(26\) 1.62022 + 3.22101i 0.317751 + 0.631692i
\(27\) 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 −0.512891 0.858453i \(-0.671426\pi\)
0.999888 + 0.0149503i \(0.00475901\pi\)
\(32\) −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 −0.899258 0.437419i \(-0.855893\pi\)
−0.0708132 + 0.997490i \(0.522559\pi\)
\(38\) 0.241819 0.418842i 0.0392282 0.0679452i
\(39\) −5.53177 2.89819i −0.885792 0.464082i
\(40\) 2.19770 1.26884i 0.347486 0.200621i
\(41\) 3.03693i 0.474289i −0.971474 0.237145i \(-0.923788\pi\)
0.971474 0.237145i \(-0.0762115\pi\)
\(42\) 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 −0.899767 0.436371i \(-0.856263\pi\)
−0.0719745 + 0.997406i \(0.522930\pi\)
\(48\) −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
\(52\) 1.97937 3.01365i 0.274489 0.417919i
\(53\) 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 0.139070 0.990283i \(-0.455589\pi\)
−0.788075 + 0.615579i \(0.788922\pi\)
\(60\) −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
\(65\) −8.17389 + 4.11159i −1.01385 + 0.509981i
\(66\) −4.17960 1.89190i −0.514474 0.232877i
\(67\) 1.38217 + 0.797996i 0.168859 + 0.0974908i 0.582048 0.813155i \(-0.302252\pi\)
−0.413189 + 0.910645i \(0.635585\pi\)
\(68\) −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 \(-0.777577\pi\)
−0.765638 + 0.643272i \(0.777577\pi\)
\(72\) 1.97969 + 2.25407i 0.233309 + 0.265644i
\(73\) 6.57447 11.3873i 0.769484 1.33279i −0.168359 0.985726i \(-0.553847\pi\)
0.937843 0.347060i \(-0.112820\pi\)
\(74\) 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
\(78\) 0.255978 + 6.23975i 0.0289838 + 0.706513i
\(79\) −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 \(-0.945576\pi\)
0.985419 0.170146i \(-0.0544241\pi\)
\(84\) −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 −0.620806 0.783964i \(-0.713195\pi\)
0.368530 + 0.929616i \(0.379861\pi\)
\(90\) −1.49072 7.46566i −0.157135 0.786950i
\(91\) −9.35076 1.88769i −0.980226 0.197883i
\(92\) 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 \(-0.597097\pi\)
−0.300331 + 0.953835i \(0.597097\pi\)
\(98\) −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 0.944596 0.328237i \(-0.106454\pi\)
0.188037 + 0.982162i \(0.439788\pi\)
\(110\) −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
\(117\) −6.65869 8.52420i −0.615596 0.788062i
\(118\) 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
\(130\) 7.64769 + 5.02300i 0.670747 + 0.440546i
\(131\) 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 \(0.439208\pi\)
−0.945192 + 0.326515i \(0.894126\pi\)
\(138\) 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
\(143\) −5.24294 + 7.98256i −0.438437 + 0.667535i
\(144\) 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 0.808485 0.588517i \(-0.200288\pi\)
−0.913913 + 0.405910i \(0.866955\pi\)
\(150\) −2.27193 1.02839i −0.185502 0.0839677i
\(151\) −3.68114 2.12531i −0.299567 0.172955i 0.342681 0.939452i \(-0.388665\pi\)
−0.642248 + 0.766497i \(0.721998\pi\)
\(152\) 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
\(156\) 5.27579 3.34156i 0.422401 0.267539i
\(157\) −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 −0.302350 0.953197i \(-0.597771\pi\)
0.674318 + 0.738441i \(0.264438\pi\)
\(164\) 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 \(0.0765694\pi\)
−0.971207 + 0.238237i \(0.923431\pi\)
\(168\) 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 \(-0.306022\pi\)
\(182\) 3.04059 + 9.04184i 0.225384 + 0.670225i
\(183\) 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 0.564935 0.825136i \(-0.308901\pi\)
−0.432121 + 0.901816i \(0.642235\pi\)
\(194\) 2.95792 + 5.12327i 0.212366 + 0.367829i
\(195\) −15.8345 + 0.649589i −1.13393 + 0.0465181i
\(196\) −5.05508 + 4.84212i −0.361077 + 0.345866i
\(197\) −4.36762 −0.311180 −0.155590 0.987822i \(-0.549728\pi\)
−0.155590 + 0.987822i \(0.549728\pi\)
\(198\) −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
\(208\) 1.62022 + 3.22101i 0.112342 + 0.223337i
\(209\) 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
\(221\) 7.30873 11.1278i 0.491639 0.748537i
\(222\) 6.87759 + 9.59022i 0.461594 + 0.643654i
\(223\) −4.35497 −0.291630 −0.145815 0.989312i \(-0.546580\pi\)
−0.145815 + 0.989312i \(0.546580\pi\)
\(224\) −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 0.949396 0.314081i \(-0.101696\pi\)
0.202696 + 0.979242i \(0.435030\pi\)
\(228\) −0.763143 0.345438i −0.0505404 0.0228772i
\(229\) −13.3120 23.0571i −0.879683 1.52365i −0.851689 0.524047i \(-0.824422\pi\)
−0.0279931 0.999608i \(-0.508912\pi\)
\(230\) 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 \(0.0554772\pi\)
\(234\) −4.05283 + 10.0287i −0.264942 + 0.655596i
\(235\) −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 \(-0.387770\pi\)
0.345321 + 0.938485i \(0.387770\pi\)
\(240\) −2.56153 3.57184i −0.165346 0.230561i
\(241\) −6.08041 + 10.5316i −0.391673 + 0.678398i −0.992670 0.120853i \(-0.961437\pi\)
0.600997 + 0.799251i \(0.294770\pi\)
\(242\) 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
\(247\) −0.783598 1.55780i −0.0498591 0.0991204i
\(248\) 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 0.888533 0.458813i \(-0.151725\pi\)
−0.841610 + 0.540086i \(0.818392\pi\)
\(272\) 3.69246 0.223888
\(273\) −13.4065 9.65741i −0.811399 0.584493i
\(274\) 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 \(-0.138800\pi\)
0.906426 + 0.422365i \(0.138800\pi\)
\(282\) 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 \(-0.604019\pi\)
0.321000 0.947079i \(-0.395981\pi\)
\(294\) 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
\(299\) 15.2282 7.66001i 0.880667 0.442990i
\(300\) 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 \(-0.827744\pi\)
−0.857113 + 0.515128i \(0.827744\pi\)
\(308\) 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 \(0.224654\pi\)
\(312\) −5.53177 2.89819i −0.313175 0.164078i
\(313\) 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 \(0.187531\pi\)
0.0655007 + 0.997853i \(0.479136\pi\)
\(318\) 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
\(325\) −2.84993 + 4.33912i −0.158086 + 0.240691i
\(326\) −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 −0.0912670 0.995826i \(-0.529092\pi\)
0.816778 + 0.576953i \(0.195758\pi\)
\(332\) 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 \(0.281781\pi\)
\(338\) −5.16422 11.9302i −0.280897 0.648920i
\(339\) 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 \(-0.490598\pi\)
0.0295336 + 0.999564i \(0.490598\pi\)
\(350\) −3.77125 0.537825i −0.201582 0.0287479i
\(351\) −4.41850 18.2065i −0.235842 0.971791i
\(352\) 1.32440 + 2.29393i 0.0705907 + 0.122267i
\(353\) 5.34237 + 3.08442i 0.284346 + 0.164167i 0.635389 0.772192i \(-0.280840\pi\)
−0.351043 + 0.936359i \(0.614173\pi\)
\(354\) −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 0.652946 0.757405i \(-0.273533\pi\)
−0.982405 + 0.186765i \(0.940200\pi\)
\(360\) 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
\(364\) 6.31016 7.15415i 0.330742 0.374979i
\(365\) 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 \(0.0638452\pi\)
−0.979952 + 0.199233i \(0.936155\pi\)
\(380\) −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 −0.689044 0.724719i \(-0.741970\pi\)
0.283103 + 0.959090i \(0.408636\pi\)
\(384\) −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 \(0.329605\pi\)
\(390\) 8.47980 + 13.3883i 0.429392 + 0.677942i
\(391\) 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 0.662515 0.749049i \(-0.269489\pi\)
−0.979953 + 0.199230i \(0.936156\pi\)
\(398\) 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 \(-0.978573\pi\)
0.440614 0.897697i \(-0.354761\pi\)
\(402\) 1.13994 2.51836i 0.0568549 0.125604i
\(403\) −10.7340 + 16.3429i −0.534700 + 0.814100i
\(404\) −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 \(0.437634\pi\)
−0.946794 + 0.321839i \(0.895699\pi\)
\(410\) −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
\(416\) 1.97937 3.01365i 0.0970464 0.147757i
\(417\) −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 \(0.0921133\pi\)
−0.958420 + 0.285360i \(0.907887\pi\)
\(422\) 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
\(429\) −13.9745 + 8.85111i −0.674695 + 0.427336i
\(430\) −11.2316 6.48455i −0.541635 0.312713i
\(431\) 9.15519 15.8573i 0.440990 0.763817i −0.556773 0.830664i \(-0.687961\pi\)
0.997763 + 0.0668476i \(0.0212941\pi\)
\(432\) 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 \(-0.679792\pi\)
−0.535274 + 0.844679i \(0.679792\pi\)
\(450\) −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
\(455\) −22.9453 + 7.71605i −1.07569 + 0.361734i
\(456\) 0.0824136 + 0.833620i 0.00385937 + 0.0390378i
\(457\) 11.5835 6.68771i 0.541851 0.312838i −0.203978 0.978976i \(-0.565387\pi\)
0.745829 + 0.666138i \(0.232054\pi\)
\(458\) −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 \(0.00576367\pi\)
−0.999836 + 0.0181061i \(0.994236\pi\)
\(462\) −10.2407 6.51660i −0.476442 0.303180i
\(463\) 3.19686i 0.148571i 0.997237 + 0.0742854i \(0.0236676\pi\)
−0.997237 + 0.0742854i \(0.976332\pi\)
\(464\) −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 \(0.822740\pi\)
\(468\) 10.7115 1.50449i 0.495140 0.0695452i
\(469\) 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 0.692205 0.721701i \(-0.256640\pi\)
−0.278909 + 0.960317i \(0.589973\pi\)
\(480\) −1.81254 + 4.00427i −0.0827306 + 0.182769i
\(481\) 21.9465 11.0394i 1.00068 0.503355i
\(482\) 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 0.452109 0.891962i \(-0.350672\pi\)
−0.546407 + 0.837520i \(0.684005\pi\)
\(488\) 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
\(494\) −0.957295 + 1.45752i −0.0430707 + 0.0655767i
\(495\) 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 −0.127723 0.991810i \(-0.540767\pi\)
0.795071 + 0.606516i \(0.207434\pi\)
\(500\) −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
\(507\) 19.3111 + 11.5793i 0.857637 + 0.514256i
\(508\) 5.35236 9.27055i 0.237472 0.411314i
\(509\) 4.87130 2.81245i 0.215917 0.124660i −0.388141 0.921600i \(-0.626883\pi\)
0.604058 + 0.796940i \(0.293549\pi\)
\(510\) 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
\(520\) −8.17389 + 4.11159i −0.358449 + 0.180305i
\(521\) −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 0.294343 0.955700i \(-0.404899\pi\)
0.974832 + 0.222941i \(0.0715658\pi\)
\(542\) 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
\(546\) −1.66030 + 16.4391i −0.0710545 + 0.703528i
\(547\) 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 −0.995619 0.0935006i \(-0.970194\pi\)
0.578784 + 0.815481i \(0.303528\pi\)
\(558\) −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 \(0.169441\pi\)
\(572\) −4.29163 8.53180i −0.179442 0.356732i
\(573\) 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 −0.840198 0.542279i \(-0.817561\pi\)
0.889727 + 0.456493i \(0.150895\pi\)
\(578\) 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
\(585\) −25.4496 10.2848i −1.05221 0.425223i
\(586\) −28.0789 + 16.2114i −1.15993 + 0.669686i
\(587\) 28.1076i 1.16013i 0.814572 + 0.580063i \(0.196972\pi\)
−0.814572 + 0.580063i \(0.803028\pi\)
\(588\) −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 −0.794713 0.606986i \(-0.792379\pi\)
0.128309 + 0.991734i \(0.459045\pi\)
\(594\) −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
\(598\) −14.2478 9.35797i −0.582638 0.382676i
\(599\) 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
\(611\) 24.7777 12.4636i 1.00240 0.504222i
\(612\) 3.55300 10.4921i 0.143622 0.424119i
\(613\) 15.4716 + 8.93253i 0.624892 + 0.360781i 0.778771 0.627308i \(-0.215843\pi\)
−0.153879 + 0.988090i \(0.549177\pi\)
\(614\) 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 \(-0.702493\pi\)
−0.594103 + 0.804389i \(0.702493\pi\)
\(618\) 9.21700 + 12.8523i 0.370762 + 0.516997i
\(619\) −16.8277 + 29.1465i −0.676363 + 1.17149i 0.299706 + 0.954032i \(0.403112\pi\)
−0.976069 + 0.217463i \(0.930222\pi\)
\(620\) 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
\(624\) 0.255978 + 6.23975i 0.0102473 + 0.249790i
\(625\) 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 \(-0.695758\pi\)
0.576953 0.816778i \(-0.304242\pi\)
\(632\) −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
\(637\) −23.7868 8.43717i −0.942469 0.334293i
\(638\) 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 \(-0.836096\pi\)
−0.870333 + 0.492464i \(0.836096\pi\)
\(644\) 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 −0.965697 0.259670i \(-0.916386\pi\)
0.707729 + 0.706484i \(0.249720\pi\)
\(662\) −13.1995 7.62074i −0.513013 0.296188i
\(663\) 19.4807 12.3386i 0.756566 0.479191i
\(664\) 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
\(676\) −7.74979 + 10.4375i −0.298069 + 0.401441i
\(677\) −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 −0.951830 0.306627i \(-0.900800\pi\)
0.741462 + 0.670995i \(0.234133\pi\)
\(684\) −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
\(689\) −28.3098 18.5938i −1.07852 0.708369i
\(690\) 18.9312 + 8.56925i 0.720700 + 0.326226i
\(691\) 17.4124 + 30.1592i 0.662400 + 1.14731i 0.979983 + 0.199081i \(0.0637956\pi\)
−0.317583 + 0.948231i \(0.602871\pi\)
\(692\) −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 \(0.787505\pi\)
\(702\) −13.5580 + 12.9298i −0.511716 + 0.488003i
\(703\) −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 0.203428 0.979090i \(-0.434792\pi\)
0.949631 + 0.313371i \(0.101458\pi\)
\(710\) 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 \(0.972773\pi\)
\(728\) −9.35076 1.88769i −0.346562 0.0699624i
\(729\) −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 0.853285 0.521445i \(-0.174607\pi\)
−0.878227 + 0.478243i \(0.841274\pi\)
\(734\) 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 0.842088 0.539340i \(-0.181326\pi\)
−0.0460384 + 0.998940i \(0.514660\pi\)
\(740\) −8.64531 14.9741i −0.317808 0.550460i
\(741\) −0.123800 3.01777i −0.00454792 0.110861i
\(742\) 3.50894 24.6048i 0.128817 0.903271i
\(743\) 45.1839 1.65764 0.828818 0.559519i \(-0.189014\pi\)
0.828818 + 0.559519i \(0.189014\pi\)
\(744\) 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
\(754\) 22.3345 11.2346i 0.813373 0.409139i
\(755\) −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 −0.245682 0.969351i \(-0.579012\pi\)
0.716641 + 0.697442i \(0.245679\pi\)
\(762\) 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
\(767\) 17.3475 + 11.3938i 0.626382 + 0.411407i
\(768\) −1.40752 + 1.00940i −0.0507895 + 0.0364235i
\(769\) 34.6475 1.24942 0.624710 0.780857i \(-0.285217\pi\)
0.624710 + 0.780857i \(0.285217\pi\)
\(770\) −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 0.501495 0.865160i \(-0.332783\pi\)
−0.498503 + 0.866888i \(0.666117\pi\)
\(774\) 4.91759 14.5218i 0.176759 0.521976i
\(775\) −3.90404 6.76200i −0.140237