Properties

Label 546.2.bg.b.311.15
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 311.15
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.40752 + 1.00940i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.19770 + 1.26884i) q^{5} +(-0.170404 + 1.72365i) q^{6} +(2.61925 + 0.373536i) q^{7} -1.00000 q^{8} +(0.962231 + 2.84150i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.40752 + 1.00940i) 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} +(0.962231 + 2.84150i) q^{9} +(-2.19770 - 1.26884i) q^{10} +(-1.32440 + 2.29393i) q^{11} +(-1.57792 + 0.714250i) 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} +(-1.97969 + 2.25407i) q^{18} +(0.241819 + 0.418842i) q^{19} -2.53768i q^{20} +(3.30960 + 3.16963i) q^{21} -2.64880 q^{22} +(4.09436 - 2.36388i) q^{23} +(-1.40752 - 1.00940i) 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} +(-1.81254 - 4.00427i) q^{30} +(2.71148 - 4.69643i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-4.17960 + 1.89190i) 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} +(-4.85719 - 3.92527i) q^{39} +(2.19770 - 1.26884i) q^{40} +3.03693i q^{41} +(-1.09018 + 4.45101i) q^{42} +5.11062 q^{43} +(-1.32440 - 2.29393i) q^{44} +(-5.72010 - 5.02383i) 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} +(5.82643 - 2.63734i) q^{51} +(1.97937 - 3.01365i) q^{52} +(-8.13530 - 4.69692i) q^{53} +(-5.06171 + 1.17435i) 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} +(2.56153 - 3.57184i) q^{60} +(4.25236 - 2.45510i) q^{61} +5.42297 q^{62} +(1.45892 + 7.80202i) q^{63} +1.00000 q^{64} +(8.17389 - 4.11159i) q^{65} +(-3.72824 - 2.67369i) 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} +(-0.962231 - 2.84150i) q^{72} +(6.57447 - 11.3873i) q^{73} +(-5.90071 - 3.40678i) q^{74} +(2.27193 - 1.02839i) 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} +(-7.14822 + 5.46836i) q^{81} +(-2.63006 + 1.51847i) q^{82} +3.10022i q^{83} +(-4.39978 + 1.28139i) q^{84} +9.37029i q^{85} +(2.55531 + 4.42592i) q^{86} +(-6.99916 + 9.75974i) 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} +(8.55703 - 3.87335i) q^{93} +(6.66192 + 3.84626i) q^{94} +(-1.06289 - 0.613658i) q^{95} +(1.57792 - 0.714250i) 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
\(3\) 1.40752 + 1.00940i 0.812633 + 0.582776i
\(4\) −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
\(9\) 0.962231 + 2.84150i 0.320744 + 0.947166i
\(10\) −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 \(0.297421\pi\)
\(12\) −1.57792 + 0.714250i −0.455508 + 0.206186i
\(13\) −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 −0.550464 0.834859i \(-0.685549\pi\)
0.998241 + 0.0592866i \(0.0188826\pi\)
\(18\) −1.97969 + 2.25407i −0.466618 + 0.531288i
\(19\) 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
\(21\) 3.30960 + 3.16963i 0.722214 + 0.691669i
\(22\) −2.64880 −0.564725
\(23\) 4.09436 2.36388i 0.853734 0.492903i −0.00817520 0.999967i \(-0.502602\pi\)
0.861909 + 0.507063i \(0.169269\pi\)
\(24\) −1.40752 1.00940i −0.287309 0.206043i
\(25\) 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 \(0.222645\pi\)
−0.765189 + 0.643805i \(0.777355\pi\)
\(30\) −1.81254 4.00427i −0.330923 0.731076i
\(31\) 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
\(33\) −4.17960 + 1.89190i −0.727575 + 0.329338i
\(34\) 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
\(39\) −4.85719 3.92527i −0.777772 0.628546i
\(40\) 2.19770 1.26884i 0.347486 0.200621i
\(41\) 3.03693i 0.474289i 0.971474 + 0.237145i \(0.0762115\pi\)
−0.971474 + 0.237145i \(0.923788\pi\)
\(42\) −1.09018 + 4.45101i −0.168218 + 0.686806i
\(43\) 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
\(45\) −5.72010 5.02383i −0.852702 0.748908i
\(46\) 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
\(51\) 5.82643 2.63734i 0.815863 0.369302i
\(52\) 1.97937 3.01365i 0.274489 0.417919i
\(53\) −8.13530 4.69692i −1.11747 0.645171i −0.176716 0.984262i \(-0.556547\pi\)
−0.940754 + 0.339091i \(0.889881\pi\)
\(54\) −5.06171 + 1.17435i −0.688812 + 0.159808i
\(55\) 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 \(0.544411\pi\)
\(60\) 2.56153 3.57184i 0.330692 0.461122i
\(61\) 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
\(63\) 1.45892 + 7.80202i 0.183807 + 0.982962i
\(64\) 1.00000 0.125000
\(65\) 8.17389 4.11159i 1.01385 0.509981i
\(66\) −3.72824 2.67369i −0.458914 0.329109i
\(67\) 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 \(-0.222423\pi\)
0.765638 + 0.643272i \(0.222423\pi\)
\(72\) −0.962231 2.84150i −0.113400 0.334874i
\(73\) 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
\(75\) 2.27193 1.02839i 0.262339 0.118748i
\(76\) −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
\(81\) −7.14822 + 5.46836i −0.794247 + 0.607595i
\(82\) −2.63006 + 1.51847i −0.290442 + 0.167687i
\(83\) 3.10022i 0.340293i 0.985419 + 0.170146i \(0.0544241\pi\)
−0.985419 + 0.170146i \(0.945576\pi\)
\(84\) −4.39978 + 1.28139i −0.480055 + 0.139811i
\(85\) 9.37029i 1.01635i
\(86\) 2.55531 + 4.42592i 0.275546 + 0.477260i
\(87\) −6.99916 + 9.75974i −0.750389 + 1.04635i
\(88\) 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
\(91\) −9.35076 1.88769i −0.980226 0.197883i
\(92\) 4.72776i 0.492903i
\(93\) 8.55703 3.87335i 0.887323 0.401648i
\(94\) 6.66192 + 3.84626i 0.687125 + 0.396712i
\(95\) −1.06289 0.613658i −0.109050 0.0629600i
\(96\) 1.57792 0.714250i 0.161046 0.0728978i
\(97\) −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 \(-0.591053\pi\)
0.971918 0.235318i \(-0.0756133\pi\)
\(102\) 5.19722 + 3.72716i 0.514601 + 0.369044i
\(103\) −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
\(105\) −11.2952 2.76652i −1.10230 0.269984i
\(106\) 9.39383i 0.912410i
\(107\) 6.73065 3.88594i 0.650677 0.375668i −0.138039 0.990427i \(-0.544080\pi\)
0.788716 + 0.614758i \(0.210746\pi\)
\(108\) −3.54787 3.79640i −0.341394 0.365308i
\(109\) 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 \(0.415952\pi\)
−0.260987 + 0.965342i \(0.584048\pi\)
\(114\) −0.763143 + 0.345438i −0.0714749 + 0.0323532i
\(115\) −5.99877 + 10.3902i −0.559389 + 0.968889i
\(116\) −6.00502 3.46700i −0.557552 0.321903i
\(117\) −2.87444 10.4277i −0.265742 0.964044i
\(118\) 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
\(123\) −3.06547 + 4.27455i −0.276405 + 0.385423i
\(124\) 2.71148 + 4.69643i 0.243498 + 0.421752i
\(125\) 9.03460i 0.808079i
\(126\) −6.02729 + 5.16447i −0.536954 + 0.460088i
\(127\) −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
\(129\) 7.19330 + 5.15865i 0.633335 + 0.454193i
\(130\) 7.64769 + 5.02300i 0.670747 + 0.440546i
\(131\) −3.16842 5.48787i −0.276826 0.479478i 0.693768 0.720199i \(-0.255949\pi\)
−0.970594 + 0.240721i \(0.922616\pi\)
\(132\) 0.451365 4.56559i 0.0392863 0.397384i
\(133\) 0.476931 + 1.18738i 0.0413551 + 0.102959i
\(134\) 1.59599i 0.137873i
\(135\) −2.98011 12.8450i −0.256487 1.10552i
\(136\) −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 \(-0.105874\pi\)
\(138\) 3.37680 + 7.46005i 0.287453 + 0.635042i
\(139\) 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
\(144\) 1.97969 2.25407i 0.164975 0.187839i
\(145\) −8.79813 15.2388i −0.730645 1.26551i
\(146\) 13.1489 1.08821
\(147\) 7.48471 + 9.53830i 0.617328 + 0.786706i
\(148\) 6.81356i 0.560071i
\(149\) 1.28692 + 2.22901i 0.105429 + 0.182608i 0.913913 0.405910i \(-0.133045\pi\)
−0.808485 + 0.588517i \(0.799712\pi\)
\(150\) 2.02658 + 1.45335i 0.165469 + 0.118666i
\(151\) −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
\(156\) 5.82798 2.24381i 0.466611 0.179649i
\(157\) −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
\(159\) −6.70955 14.8228i −0.532102 1.17552i
\(160\) 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
\(165\) 6.78497 9.46107i 0.528209 0.736544i
\(166\) −2.68487 + 1.55011i −0.208386 + 0.120312i
\(167\) 6.15740i 0.476474i −0.971207 0.238237i \(-0.923431\pi\)
0.971207 0.238237i \(-0.0765694\pi\)
\(168\) −3.30960 3.16963i −0.255341 0.244542i
\(169\) 12.9140 + 1.49278i 0.993385 + 0.114829i
\(170\) −8.11491 + 4.68514i −0.622385 + 0.359334i
\(171\) −0.957454 + 1.09015i −0.0732183 + 0.0833658i
\(172\) −2.55531 + 4.42592i −0.194840 + 0.337473i
\(173\) −3.45361 5.98183i −0.262573 0.454790i 0.704352 0.709851i \(-0.251238\pi\)
−0.966925 + 0.255061i \(0.917905\pi\)
\(174\) −11.9518 1.18158i −0.906061 0.0895753i
\(175\) 2.35139 2.99708i 0.177749 0.226558i
\(176\) 2.64880 0.199661
\(177\) 4.11144 + 9.08301i 0.309035 + 0.682721i
\(178\) 2.37997 + 1.37408i 0.178386 + 0.102991i
\(179\) −1.49413 0.862637i −0.111677 0.0644765i 0.443121 0.896462i \(-0.353871\pi\)
−0.554798 + 0.831985i \(0.687204\pi\)
\(180\) 7.21081 2.44183i 0.537462 0.182004i
\(181\) 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
\(186\) 7.63294 + 5.47393i 0.559674 + 0.401368i
\(187\) 4.89029 + 8.47023i 0.357614 + 0.619405i
\(188\) 7.69252i 0.561035i
\(189\) −5.82188 + 12.4541i −0.423480 + 0.905906i
\(190\) 1.22732i 0.0890389i
\(191\) −22.6677 + 13.0872i −1.64018 + 0.946957i −0.659409 + 0.751785i \(0.729193\pi\)
−0.980769 + 0.195172i \(0.937473\pi\)
\(192\) 1.40752 + 1.00940i 0.101579 + 0.0728470i
\(193\) 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
\(195\) 15.6552 + 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 \(0.450272\pi\)
\(198\) −2.54875 7.52655i −0.181132 0.534889i
\(199\) −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
\(201\) 1.13994 + 2.51836i 0.0804050 + 0.177631i
\(202\) 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
\(207\) 10.6567 + 9.35952i 0.740691 + 0.650532i
\(208\) 1.62022 + 3.22101i 0.112342 + 0.223337i
\(209\) −1.28106 −0.0886125
\(210\) −3.25175 11.1652i −0.224392 0.770474i
\(211\) −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
\(213\) 18.1609 + 13.0240i 1.24437 + 0.892391i
\(214\) 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
\(219\) 20.7481 9.39164i 1.40202 0.634628i
\(220\) 5.82125 + 3.36090i 0.392468 + 0.226592i
\(221\) −7.30873 + 11.1278i −0.491639 + 0.748537i
\(222\) −4.86658 10.7513i −0.326624 0.721579i
\(223\) −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 −0.202696 0.979242i \(-0.564970\pi\)
−0.949396 + 0.314081i \(0.898304\pi\)
\(228\) −0.680730 0.488182i −0.0450824 0.0323307i
\(229\) −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
\(231\) −11.6541 + 3.39413i −0.766785 + 0.223318i
\(232\) 6.93400i 0.455239i
\(233\) −20.2573 + 11.6956i −1.32710 + 0.766203i −0.984850 0.173406i \(-0.944523\pi\)
−0.342252 + 0.939608i \(0.611190\pi\)
\(234\) 7.59346 7.70320i 0.496400 0.503574i
\(235\) −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 \(0.612230\pi\)
\(240\) 1.81254 + 4.00427i 0.116999 + 0.258474i
\(241\) −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
\(243\) −15.5810 + 0.481423i −0.999523 + 0.0308833i
\(244\) 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
\(249\) −3.12935 + 4.36362i −0.198315 + 0.276533i
\(250\) 7.82419 4.51730i 0.494845 0.285699i
\(251\) 25.7551 1.62565 0.812825 0.582508i \(-0.197928\pi\)
0.812825 + 0.582508i \(0.197928\pi\)
\(252\) −7.48621 2.63755i −0.471587 0.166150i
\(253\) 12.5229i 0.787307i
\(254\) −5.35236 9.27055i −0.335837 0.581686i
\(255\) −9.45835 + 13.1889i −0.592305 + 0.825919i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −8.74076 15.1394i −0.545233 0.944372i −0.998592 0.0530439i \(-0.983108\pi\)
0.453359 0.891328i \(-0.350226\pi\)
\(258\) −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
\(261\) −19.7029 + 6.67211i −1.21958 + 0.412993i
\(262\) 3.16842 5.48787i 0.195746 0.339042i
\(263\) 17.8986 + 10.3338i 1.10368 + 0.637208i 0.937184 0.348834i \(-0.113422\pi\)
0.166493 + 0.986043i \(0.446756\pi\)
\(264\) 4.17960 1.89190i 0.257237 0.116439i
\(265\) 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 −0.858689 0.512497i \(-0.828721\pi\)
0.873180 + 0.487398i \(0.162054\pi\)
\(270\) 9.63404 9.00335i 0.586309 0.547927i
\(271\) 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
\(273\) −11.2560 12.0956i −0.681242 0.732059i
\(274\) 17.6827 1.06825
\(275\) 1.90689 + 3.30284i 0.114990 + 0.199169i
\(276\) −4.77219 + 6.65443i −0.287252 + 0.400549i
\(277\) 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 \(0.861200\pi\)
\(282\) 5.49439 + 12.1382i 0.327186 + 0.722821i
\(283\) 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
\(285\) −0.876611 1.93661i −0.0519259 0.114715i
\(286\) 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
\(291\) −8.32667 5.97144i −0.488118 0.350052i
\(292\) 6.57447 + 11.3873i 0.384742 + 0.666393i
\(293\) 32.4228i 1.89416i 0.321000 + 0.947079i \(0.395981\pi\)
−0.321000 + 0.947079i \(0.604019\pi\)
\(294\) −4.51806 + 11.2511i −0.263498 + 0.656177i
\(295\) −14.6076 −0.850490
\(296\) 5.90071 3.40678i 0.342972 0.198015i
\(297\) −9.39758 10.0559i −0.545303 0.583502i
\(298\) −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
\(303\) 21.8761 9.90223i 1.25675 0.568868i
\(304\) 0.241819 0.418842i 0.0138692 0.0240222i
\(305\) −6.23026 + 10.7911i −0.356743 + 0.617898i
\(306\) 3.55300 + 10.4921i 0.203112 + 0.599795i
\(307\) −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 −0.761111 0.648622i \(-0.775346\pi\)
0.942279 + 0.334830i \(0.108679\pi\)
\(312\) 4.85719 + 3.92527i 0.274984 + 0.222225i
\(313\) 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
\(315\) −13.1058 15.2953i −0.738427 0.861794i
\(316\) 7.51729 0.422880
\(317\) −15.9691 27.6594i −0.896916 1.55350i −0.831415 0.555652i \(-0.812469\pi\)
−0.0655007 0.997853i \(-0.520864\pi\)
\(318\) 9.48212 13.2220i 0.531731 0.741454i
\(319\) −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
\(324\) −1.16162 8.92472i −0.0645346 0.495818i
\(325\) −2.84993 + 4.33912i −0.158086 + 0.240691i
\(326\) 4.74897 + 2.74182i 0.263021 + 0.151855i
\(327\) 9.75263 + 21.5456i 0.539322 + 1.19147i
\(328\) 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
\(333\) −15.3582 13.4888i −0.841624 0.739179i
\(334\) 5.33246 3.07870i 0.291779 0.168459i
\(335\) −4.05012 −0.221282
\(336\) 1.09018 4.45101i 0.0594740 0.242823i
\(337\) 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
\(339\) −20.7163 + 28.8872i −1.12516 + 1.56894i
\(340\) −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
\(345\) −18.9312 + 8.56925i −1.01922 + 0.461353i
\(346\) 3.45361 5.98183i 0.185667 0.321585i
\(347\) −21.2374 12.2614i −1.14008 0.658226i −0.193631 0.981074i \(-0.562026\pi\)
−0.946451 + 0.322848i \(0.895360\pi\)
\(348\) −4.95261 10.9413i −0.265488 0.586517i
\(349\) 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
\(351\) 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 \(0.719160\pi\)
\(354\) −5.81040 + 8.10211i −0.308819 + 0.430622i
\(355\) −28.3563 + 16.3715i −1.50500 + 0.868911i
\(356\) 2.74815i 0.145652i
\(357\) 16.2460 4.73147i 0.859830 0.250416i
\(358\) 1.72527i 0.0911836i
\(359\) 6.24235 + 10.8121i 0.329459 + 0.570639i 0.982405 0.186765i \(-0.0598004\pi\)
−0.652946 + 0.757405i \(0.726467\pi\)
\(360\) 5.72010 + 5.02383i 0.301476 + 0.264779i
\(361\) 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
\(366\) 3.50711 + 7.74793i 0.183320 + 0.404991i
\(367\) 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
\(369\) −8.62944 + 2.92223i −0.449231 + 0.152125i
\(370\) 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
\(375\) 9.11951 12.7164i 0.470929 0.656672i
\(376\) −6.66192 + 3.84626i −0.343562 + 0.198356i
\(377\) 1.43779 24.9595i 0.0740500 1.28548i
\(378\) −13.6965 + 1.18517i −0.704474 + 0.0609586i
\(379\) 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
\(381\) −15.0671 10.8053i −0.771911 0.553573i
\(382\) −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
\(387\) 4.91759 + 14.5218i 0.249975 + 0.738185i
\(388\) 2.95792 5.12327i 0.150166 0.260095i
\(389\) −29.7827 17.1950i −1.51004 0.871823i −0.999931 0.0117132i \(-0.996271\pi\)
−0.510110 0.860109i \(-0.670395\pi\)
\(390\) 5.69408 + 14.7895i 0.288331 + 0.748897i
\(391\) 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
\(396\) 5.24381 5.97056i 0.263511 0.300032i
\(397\) −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
\(399\) −0.527249 + 2.15268i −0.0263955 + 0.107769i
\(400\) −1.43982 −0.0719909
\(401\) 11.1563 + 19.3233i 0.557121 + 0.964962i 0.997735 + 0.0672652i \(0.0214274\pi\)
−0.440614 + 0.897697i \(0.645239\pi\)
\(402\) −1.61099 + 2.24639i −0.0803490 + 0.112040i
\(403\) −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
\(408\) −5.82643 + 2.63734i −0.288451 + 0.130568i
\(409\) −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
\(411\) 27.9019 12.6299i 1.37630 0.622985i
\(412\) 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
\(417\) −16.2451 + 22.6524i −0.795525 + 1.10929i
\(418\) −0.640528 1.10943i −0.0313293 0.0542639i
\(419\) 22.9563 1.12149 0.560744 0.827989i \(-0.310515\pi\)
0.560744 + 0.827989i \(0.310515\pi\)
\(420\) 8.04350 8.39871i 0.392482 0.409815i
\(421\) 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
\(423\) 17.3395 + 15.2288i 0.843073 + 0.740452i
\(424\) 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
\(429\) 15.4371 5.94341i 0.745311 0.286950i
\(430\) −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 \(0.312039\pi\)
\(432\) 5.06171 1.17435i 0.243532 0.0565007i
\(433\) 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
\(438\) 18.5074 + 13.2725i 0.884319 + 0.634186i
\(439\) −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
\(441\) 0.906938 + 20.9804i 0.0431875 + 0.999067i
\(442\) −13.2913 0.765647i −0.632204 0.0364181i
\(443\) −7.54716 + 4.35736i −0.358577 + 0.207024i −0.668456 0.743752i \(-0.733045\pi\)
0.309880 + 0.950776i \(0.399711\pi\)
\(444\) 6.87759 9.59022i 0.326396 0.455132i
\(445\) −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 \(0.320208\pi\)
\(450\) 1.38544 + 4.09124i 0.0653102 + 0.192863i
\(451\) −6.96650 4.02211i −0.328040 0.189394i
\(452\) −17.7738 10.2617i −0.836011 0.482671i
\(453\) −3.03600 6.70715i −0.142644 0.315130i
\(454\) 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
\(459\) 13.1004 + 14.0181i 0.611473 + 0.654307i
\(460\) −5.99877 10.3902i −0.279694 0.484445i
\(461\) 0.777510i 0.0362123i −0.999836 0.0181061i \(-0.994236\pi\)
0.999836 0.0181061i \(-0.00576367\pi\)
\(462\) −8.76647 8.39570i −0.407853 0.390603i
\(463\) 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
\(465\) −13.8911 + 19.3700i −0.644184 + 0.898260i
\(466\) −20.2573 11.6956i −0.938403 0.541787i
\(467\) −0.719079 1.24548i −0.0332750 0.0576340i 0.848908 0.528540i \(-0.177260\pi\)
−0.882183 + 0.470906i \(0.843927\pi\)
\(468\) 10.4679 + 2.72453i 0.483879 + 0.125942i
\(469\) 3.32217 + 2.60644i 0.153404 + 0.120354i
\(470\) −19.5212 −0.900444
\(471\) −0.679554 1.50128i −0.0313122 0.0691751i
\(472\) −4.98510 2.87815i −0.229458 0.132478i
\(473\) −6.76849 + 11.7234i −0.311216 + 0.539041i
\(474\) 11.8617 5.36922i 0.544826 0.246616i
\(475\) 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 \(0.743360\pi\)
\(480\) −2.56153 + 3.57184i −0.116917 + 0.163031i
\(481\) 21.9465 11.0394i 1.00068 0.503355i
\(482\) −12.1608 −0.553910
\(483\) 21.0433 + 5.15409i 0.957505 + 0.234519i
\(484\) −3.98387 −0.181085
\(485\) 13.0012 7.50626i 0.590355 0.340842i
\(486\) −8.20744 13.2528i −0.372297 0.601161i
\(487\) −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 \(0.0899509\pi\)
−0.960337 + 0.278843i \(0.910049\pi\)
\(492\) −2.16913 4.79205i −0.0977919 0.216042i
\(493\) 22.1733 + 12.8018i 0.998635 + 0.576562i
\(494\) 0.957295 1.45752i 0.0430707 0.0655767i
\(495\) 19.1000 6.46792i 0.858480 0.290712i
\(496\) −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
\(501\) 6.21526 8.66666i 0.277678 0.387198i
\(502\) 12.8776 + 22.3046i 0.574754 + 0.995503i
\(503\) −31.1852 −1.39048 −0.695240 0.718778i \(-0.744702\pi\)
−0.695240 + 0.718778i \(0.744702\pi\)
\(504\) −1.45892 7.80202i −0.0649855 0.347530i
\(505\) 35.1819i 1.56558i
\(506\) −10.8451 + 6.26144i −0.482125 + 0.278355i
\(507\) 16.6699 + 15.1365i 0.740338 + 0.672235i
\(508\) 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
\(513\) −2.44803 + 0.567957i −0.108083 + 0.0250759i
\(514\) 8.74076 15.1394i 0.385538 0.667772i
\(515\) 11.5860 20.0676i 0.510541 0.884283i
\(516\) −8.06417 + 3.65026i −0.355005 + 0.160694i
\(517\) 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 −0.822235 0.569148i \(-0.807273\pi\)
0.904014 + 0.427502i \(0.140606\pi\)
\(522\) −15.6297 13.7272i −0.684093 0.600823i
\(523\) 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
\(525\) 6.33488 1.84496i 0.276477 0.0805209i
\(526\) 20.6676i 0.901149i
\(527\) −10.0120 17.3414i −0.436132 0.755402i
\(528\) 3.72824 + 2.67369i 0.162251 + 0.116357i
\(529\) −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
\(534\) 1.96287 + 4.33638i 0.0849415 + 0.187653i
\(535\) −9.86128 + 17.0802i −0.426340 + 0.738443i
\(536\) −1.38217 0.797996i −0.0597007 0.0344682i
\(537\) −1.23228 2.72235i −0.0531767 0.117478i
\(538\) 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
\(543\) 22.2711 31.0551i 0.955743 1.33270i
\(544\) −1.84623 3.19777i −0.0791565 0.137103i
\(545\) −34.6504 −1.48426
\(546\) 4.84711 15.7957i 0.207437 0.675995i
\(547\) 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
\(549\) 11.0679 + 9.72069i 0.472367 + 0.414869i
\(550\) −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
\(555\) 27.2833 12.3498i 1.15811 0.524221i
\(556\) −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 \(0.0298057\pi\)
\(558\) 5.21815 + 15.4093i 0.220902 + 0.652330i
\(559\) −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 −0.675419 0.737435i \(-0.736037\pi\)
0.976346 + 0.216212i \(0.0693704\pi\)
\(564\) −7.76482 + 10.8274i −0.326958 + 0.455915i
\(565\) −26.0410 45.1043i −1.09555 1.89755i
\(566\) 7.01656i 0.294928i
\(567\) −20.7656 + 11.6529i −0.872074 + 0.489374i
\(568\) −12.9028 −0.541388
\(569\) −14.4405 + 8.33720i −0.605376 + 0.349514i −0.771153 0.636649i \(-0.780320\pi\)
0.165778 + 0.986163i \(0.446987\pi\)
\(570\) 1.23885 1.72747i 0.0518897 0.0723559i
\(571\) −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
\(576\) 0.962231 + 2.84150i 0.0400930 + 0.118396i
\(577\) 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
\(579\) 1.52174 + 3.36184i 0.0632415 + 0.139713i
\(580\) 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
\(585\) 19.5483 + 19.2698i 0.808221 + 0.796707i
\(586\) −28.0789 + 16.2114i −1.15993 + 0.669686i
\(587\) 28.1076i 1.16013i −0.814572 0.580063i \(-0.803028\pi\)
0.814572 0.580063i \(-0.196972\pi\)
\(588\) −12.0028 + 1.71279i −0.494986 + 0.0706345i
\(589\) 2.62275 0.108068
\(590\) −7.30382 12.6506i −0.300694 0.520817i
\(591\) 6.14751 + 4.40866i 0.252875 + 0.181348i
\(592\) 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
\(597\) −19.1113 42.2208i −0.782174 1.72798i
\(598\) −14.2478 9.35797i −0.582638 0.382676i
\(599\) −0.243067 0.140335i −0.00993147 0.00573394i 0.495026 0.868878i \(-0.335159\pi\)
−0.504958 + 0.863144i \(0.668492\pi\)
\(600\) −2.27193 + 1.02839i −0.0927510 + 0.0419839i
\(601\) 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
\(606\) 19.5136 + 13.9941i 0.792687 + 0.568472i
\(607\) 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
\(609\) −21.9782 + 22.9488i −0.890601 + 0.929931i
\(610\) −12.4605 −0.504511
\(611\) −24.7777 + 12.4636i −1.00240 + 0.504222i
\(612\) −7.30995 + 8.32305i −0.295487 + 0.336439i
\(613\) 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 \(-0.297507\pi\)
0.594103 + 0.804389i \(0.297507\pi\)
\(618\) −6.52195 14.4083i −0.262351 0.579588i
\(619\) −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
\(621\) 5.55203 + 23.9306i 0.222795 + 0.960301i
\(622\) 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
\(627\) −1.80311 1.29310i −0.0720094 0.0516413i
\(628\) 0.823957 0.475712i 0.0328795 0.0189830i
\(629\) 25.1588i 1.00315i
\(630\) 6.69325 18.9976i 0.266666 0.756883i
\(631\) 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
\(633\) −24.3945 17.4944i −0.969593 0.695340i
\(634\) 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
\(639\) 12.4154 + 36.6632i 0.491147 + 1.45037i
\(640\) −2.19770 1.26884i −0.0868715 0.0501553i
\(641\) −10.8867 6.28542i −0.429998 0.248259i 0.269348 0.963043i \(-0.413192\pi\)
−0.699346 + 0.714784i \(0.746525\pi\)
\(642\) 5.55107 + 12.2635i 0.219083 + 0.484000i
\(643\) −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 −0.711569 0.702616i \(-0.752015\pi\)
0.964268 + 0.264928i \(0.0853483\pi\)
\(648\) 7.14822 5.46836i 0.280809 0.214817i
\(649\) −13.2045 + 7.62364i −0.518323 + 0.299254i
\(650\) −5.18275 0.298552i −0.203284 0.0117102i
\(651\) 23.8598 6.94892i 0.935141 0.272350i
\(652\) 5.48364i 0.214756i
\(653\) 38.8978 22.4576i 1.52219 0.878835i 0.522531 0.852620i \(-0.324988\pi\)
0.999656 0.0262147i \(-0.00834536\pi\)
\(654\) −13.7827 + 19.2188i −0.538946 + 0.751515i
\(655\) 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 \(-0.973511\pi\)
0.996539 0.0831210i \(-0.0264888\pi\)
\(660\) 4.80104 + 10.6065i 0.186880 + 0.412857i
\(661\) −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
\(663\) −21.5196 + 8.28520i −0.835751 + 0.321770i
\(664\) 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
\(669\) −6.12971 4.39590i −0.236988 0.169955i
\(670\) −2.02506 3.50751i −0.0782349 0.135507i
\(671\) 13.0061i 0.502096i
\(672\) 4.39978 1.28139i 0.169725 0.0494306i
\(673\) 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
\(675\) 5.10829 + 5.46612i 0.196618 + 0.210391i
\(676\) −7.74979 + 10.4375i −0.298069 + 0.401441i
\(677\) 18.4065 + 31.8810i 0.707419 + 1.22529i 0.965811 + 0.259245i \(0.0834739\pi\)
−0.258393 + 0.966040i \(0.583193\pi\)
\(678\) −35.3752 3.49728i −1.35858 0.134312i
\(679\) −15.4951 2.20978i −0.594646 0.0848037i
\(680\) 9.37029i 0.359334i
\(681\) −14.3159 31.6268i −0.548588 1.21194i
\(682\) −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 \(0.0992004\pi\)
\(684\) −0.465371 1.37425i −0.0177939 0.0525459i
\(685\) 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
\(690\) −16.8868 12.1103i −0.642870 0.461031i
\(691\) 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
\(693\) −19.8294 6.98633i −0.753259 0.265389i
\(694\) 24.5228i 0.930873i
\(695\) −20.4205 35.3693i −0.774593 1.34163i
\(696\) 6.99916 9.75974i 0.265303 0.369942i
\(697\) 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 \(-0.787505\pi\)
0.785327 0.619081i \(-0.212495\pi\)
\(702\) 18.4636 3.17759i 0.696862 0.119930i
\(703\) −2.85380 1.64764i −0.107633 0.0621421i
\(704\) −1.32440 + 2.29393i −0.0499151 + 0.0864556i
\(705\) −30.8029 + 13.9430i −1.16011 + 0.525123i
\(706\) 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
\(711\) 14.8819 16.9445i 0.558116 0.635467i
\(712\) −2.37997 + 1.37408i −0.0891931 + 0.0514956i
\(713\) 25.6385i 0.960169i
\(714\) 12.2206 + 11.7037i 0.457344 + 0.438001i
\(715\) −1.39379 + 24.1957i −0.0521249 + 0.904867i
\(716\) 1.49413 0.862637i 0.0558383 0.0322383i
\(717\) −15.0282 10.7774i −0.561238 0.402490i
\(718\) −6.24235 + 10.8121i −0.232962 + 0.403503i
\(719\) 22.2486 + 38.5357i 0.829733 + 1.43714i 0.898248 + 0.439489i \(0.144841\pi\)
−0.0685151 + 0.997650i \(0.521826\pi\)
\(720\) −1.49072 + 7.46566i −0.0555557 + 0.278229i
\(721\) −22.4180 + 9.00456i −0.834891 + 0.335348i
\(722\) 18.7661 0.698402
\(723\) −19.1888 + 8.68586i −0.713641 + 0.323031i
\(724\) 19.1077 + 11.0319i 0.710133 + 0.409996i
\(725\) 8.64614 + 4.99185i 0.321109 + 0.185393i
\(726\) −6.28625 + 2.84548i −0.233305 + 0.105606i
\(727\) 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
\(732\) −4.95635 + 6.91121i −0.183192 + 0.255446i
\(733\) −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
\(735\) −28.5517 11.4654i −1.05314 0.422907i
\(736\) 4.72776i 0.174268i
\(737\) −3.66109 + 2.11373i −0.134858 + 0.0778603i
\(738\) −6.84545 6.01220i −0.251984 0.221312i
\(739\) 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
\(741\) 0.469509 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 \(0.810986\pi\)
\(744\) −8.55703 + 3.87335i −0.313716 + 0.142004i
\(745\) −5.65652 3.26579i −0.207239 0.119649i
\(746\) −1.11557 + 1.93222i −0.0408438 + 0.0707435i
\(747\) −8.80926 + 2.98312i −0.322314 + 0.109147i
\(748\) −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
\(753\) 36.2509 + 25.9972i 1.32106 + 0.947390i
\(754\) 22.3345 11.2346i 0.813373 0.409139i
\(755\) 10.7867 0.392568
\(756\) −7.87466 11.2690i −0.286399 0.409849i
\(757\) −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
\(759\) −12.6406 + 17.6262i −0.458824 + 0.639791i
\(760\) 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
\(765\) −26.6257 + 9.01638i −0.962652 + 0.325988i
\(766\) 7.94443 + 4.58672i 0.287044 + 0.165725i
\(767\) −17.3475 11.3938i −0.626382 0.411407i
\(768\) −1.57792 + 0.714250i −0.0569385 + 0.0257733i
\(769\) 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 0.498503 0.866888i \(-0.333883\pi\)
−0.501495 + 0.865160i \(0.667217\pi\)
\(774\) −10.1175 + 11.5197i −0.363664 + 0.414066i
\(775\) −3.90404