Properties

Label 546.2.bg.a.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.a.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} +(-1.97937 - 3.01365i) 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} +(5.27579 + 3.34156i) 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} +(-1.62022 + 3.22101i) 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} +(7.64769 - 5.02300i) 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} +(0.255978 - 6.23975i) 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} +(-9.50566 - 0.801464i) 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 0.0797131 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
\(9\) 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 −0.594321 0.804228i \(-0.702579\pi\)
0.993642 + 0.112583i \(0.0359125\pi\)
\(12\) −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 0.836953 0.547274i \(-0.184335\pi\)
−0.892430 + 0.451185i \(0.851001\pi\)
\(20\) 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
\(26\) −1.97937 3.01365i −0.388186 0.591026i
\(27\) −1.51384 + 4.97074i −0.291339 + 0.956620i
\(28\) 1.63312 2.08157i 0.308630 0.393380i
\(29\) 6.93400i 1.28761i 0.765189 + 0.643805i \(0.222645\pi\)
−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 −0.999888 0.0149503i \(-0.995241\pi\)
0.512891 + 0.858453i \(0.328574\pi\)
\(32\) −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 0.0708132 0.997490i \(-0.477441\pi\)
0.899258 + 0.437419i \(0.144107\pi\)
\(38\) −0.241819 + 0.418842i −0.0392282 + 0.0679452i
\(39\) 5.27579 + 3.34156i 0.844803 + 0.535078i
\(40\) 2.19770 1.26884i 0.347486 0.200621i
\(41\) 3.03693i 0.474289i −0.971474 0.237145i \(-0.923788\pi\)
0.971474 0.237145i \(-0.0762115\pi\)
\(42\) −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 −0.899767 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
\(51\) 5.82643 2.63734i 0.815863 0.369302i
\(52\) −1.62022 + 3.22101i −0.224684 + 0.446673i
\(53\) −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 0.139070 0.990283i \(-0.455589\pi\)
−0.788075 + 0.615579i \(0.788922\pi\)
\(60\) −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
\(65\) 7.64769 5.02300i 0.948579 0.623026i
\(66\) −3.72824 2.67369i −0.458914 0.329109i
\(67\) −1.38217 0.797996i −0.168859 0.0974908i 0.413189 0.910645i \(-0.364415\pi\)
−0.582048 + 0.813155i \(0.697748\pi\)
\(68\) 1.84623 + 3.19777i 0.223888 + 0.387786i
\(69\) 8.14900 + 0.805629i 0.981024 + 0.0969863i
\(70\) 5.28236 + 4.14433i 0.631362 + 0.495342i
\(71\) −12.9028 −1.53128 −0.765638 0.643272i \(-0.777577\pi\)
−0.765638 + 0.643272i \(0.777577\pi\)
\(72\) 0.962231 + 2.84150i 0.113400 + 0.334874i
\(73\) −6.57447 + 11.3873i −0.769484 + 1.33279i 0.168359 + 0.985726i \(0.446153\pi\)
−0.937843 + 0.347060i \(0.887180\pi\)
\(74\) −5.90071 3.40678i −0.685944 0.396030i
\(75\) 2.27193 1.02839i 0.262339 0.118748i
\(76\) 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
\(81\) −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 \(-0.945576\pi\)
0.985419 0.170146i \(-0.0544241\pi\)
\(84\) 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 −0.620806 0.783964i \(-0.713195\pi\)
0.368530 + 0.929616i \(0.379861\pi\)
\(90\) 1.49072 7.46566i 0.157135 0.786950i
\(91\) −9.50566 0.801464i −0.996464 0.0840162i
\(92\) 4.72776i 0.492903i
\(93\) −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 \(-0.402903\pi\)
0.300331 + 0.953835i \(0.402903\pi\)
\(98\) −1.66586 6.79889i −0.168277 0.686792i
\(99\) 7.79256 + 1.55599i 0.783182 + 0.156383i
\(100\) 0.719909 + 1.24692i 0.0719909 + 0.124692i
\(101\) 6.93191 12.0064i 0.689751 1.19468i −0.282167 0.959365i \(-0.591053\pi\)
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 −0.188037 0.982162i \(-0.560212\pi\)
−0.944596 + 0.328237i \(0.893546\pi\)
\(110\) −5.82125 + 3.36090i −0.555034 + 0.320449i
\(111\) 11.7442 + 1.16106i 1.11471 + 0.110203i
\(112\) 0.986133 + 2.45511i 0.0931808 + 0.231986i
\(113\) 20.5235i 1.93068i 0.260987 + 0.965342i \(0.415952\pi\)
−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
\(117\) 4.05283 + 10.0287i 0.374684 + 0.927153i
\(118\) 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
\(130\) −8.17389 4.11159i −0.716897 0.360611i
\(131\) −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 \(0.439208\pi\)
−0.945192 + 0.326515i \(0.894126\pi\)
\(138\) −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
\(143\) 4.29163 8.53180i 0.358884 0.713465i
\(144\) 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 0.808485 0.588517i \(-0.200288\pi\)
−0.913913 + 0.405910i \(0.866955\pi\)
\(150\) −2.02658 1.45335i −0.165469 0.118666i
\(151\) 3.68114 + 2.12531i 0.299567 + 0.172955i 0.642248 0.766497i \(-0.278002\pi\)
−0.342681 + 0.939452i \(0.611335\pi\)
\(152\) −0.241819 0.418842i −0.0196141 0.0339726i
\(153\) 10.8629 + 2.16907i 0.878217 + 0.175359i
\(154\) 6.93786 + 0.989422i 0.559069 + 0.0797299i
\(155\) 13.7618i 1.10537i
\(156\) −5.53177 + 2.89819i −0.442896 + 0.232041i
\(157\) −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 −0.674318 0.738441i \(-0.735562\pi\)
0.302350 + 0.953197i \(0.402229\pi\)
\(164\) 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 \(0.0765694\pi\)
−0.971207 + 0.238237i \(0.923431\pi\)
\(168\) −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 \(-0.306022\pi\)
\(182\) 4.05874 + 8.63288i 0.300854 + 0.639912i
\(183\) 8.46346 + 0.836717i 0.625637 + 0.0618519i
\(184\) 4.09436 2.36388i 0.301840 0.174268i
\(185\) 8.64531 14.9741i 0.635616 1.10092i
\(186\) 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 0.432121 0.901816i \(-0.357765\pi\)
−0.564935 + 0.825136i \(0.691099\pi\)
\(194\) −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 \(0.549728\pi\)
\(198\) −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
\(208\) −1.97937 3.01365i −0.137244 0.208959i
\(209\) −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
\(221\) 5.98259 11.8935i 0.402433 0.800040i
\(222\) −4.86658 10.7513i −0.326624 0.721579i
\(223\) 4.35497 0.291630 0.145815 0.989312i \(-0.453420\pi\)
0.145815 + 0.989312i \(0.453420\pi\)
\(224\) 1.63312 2.08157i 0.109117 0.139081i
\(225\) 4.23584 + 0.845796i 0.282389 + 0.0563864i
\(226\) 17.7738 10.2617i 1.18230 0.682600i
\(227\) 17.3580 + 10.0217i 1.15209 + 0.665160i 0.949396 0.314081i \(-0.101696\pi\)
0.202696 + 0.979242i \(0.435030\pi\)
\(228\) 0.680730 + 0.488182i 0.0450824 + 0.0323307i
\(229\) 13.3120 + 23.0571i 0.879683 + 1.52365i 0.851689 + 0.524047i \(0.175578\pi\)
0.0279931 + 0.999608i \(0.491088\pi\)
\(230\) −11.9975 −0.791095
\(231\) −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 \(0.611190\pi\)
\(234\) 6.65869 8.52420i 0.435292 0.557244i
\(235\) −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 \(0.387770\pi\)
\(240\) −1.81254 4.00427i −0.116999 0.258474i
\(241\) 6.08041 10.5316i 0.391673 0.678398i −0.600997 0.799251i \(-0.705230\pi\)
0.992670 + 0.120853i \(0.0385630\pi\)
\(242\) 1.99194 3.45014i 0.128047 0.221783i
\(243\) −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
\(247\) −0.957295 1.45752i −0.0609112 0.0927395i
\(248\) −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 0.841610 0.540086i \(-0.181608\pi\)
−0.888533 + 0.458813i \(0.848275\pi\)
\(272\) −3.69246 −0.223888
\(273\) −12.5704 10.7231i −0.760797 0.648990i
\(274\) 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 \(-0.138800\pi\)
0.906426 + 0.422365i \(0.138800\pi\)
\(282\) 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 \(-0.604019\pi\)
0.321000 0.947079i \(-0.395981\pi\)
\(294\) 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
\(299\) 14.2478 9.35797i 0.823974 0.541186i
\(300\) −0.245351 + 2.48174i −0.0141653 + 0.143283i
\(301\) −13.3860 1.90900i −0.771555 0.110033i
\(302\) 4.25062i 0.244595i
\(303\) 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 \(-0.172256\pi\)
0.857113 + 0.515128i \(0.172256\pi\)
\(308\) −2.61207 6.50308i −0.148836 0.370547i
\(309\) −15.7390 1.55599i −0.895358 0.0885172i
\(310\) 11.9180 6.88088i 0.676898 0.390808i
\(311\) 3.19493 5.53379i 0.181168 0.313792i −0.761111 0.648622i \(-0.775346\pi\)
0.942279 + 0.334830i \(0.108679\pi\)
\(312\) 5.27579 + 3.34156i 0.298683 + 0.189178i
\(313\) 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 \(0.187531\pi\)
0.0655007 + 0.997853i \(0.479136\pi\)
\(318\) −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
\(325\) 2.33282 4.63767i 0.129402 0.257252i
\(326\) 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 −0.816778 0.576953i \(-0.804242\pi\)
0.0912670 + 0.995826i \(0.470908\pi\)
\(332\) 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 \(0.281781\pi\)
\(338\) −7.74979 10.4375i −0.421533 0.567724i
\(339\) −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 \(-0.509402\pi\)
−0.0295336 + 0.999564i \(0.509402\pi\)
\(350\) 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 \(0.614173\pi\)
\(354\) −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 0.652946 0.757405i \(-0.273533\pi\)
−0.982405 + 0.186765i \(0.940200\pi\)
\(360\) 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
\(364\) 5.44692 7.83141i 0.285496 0.410478i
\(365\) 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 \(-0.936155\pi\)
0.979952 0.199233i \(-0.0638452\pi\)
\(380\) 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 −0.689044 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
\(387\) 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 \(-0.670395\pi\)
\(390\) −7.35468 14.0379i −0.372419 0.710835i
\(391\) 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 0.979953 0.199230i \(-0.0638442\pi\)
−0.662515 + 0.749049i \(0.730511\pi\)
\(398\) 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 \(-0.978573\pi\)
0.440614 0.897697i \(-0.354761\pi\)
\(402\) −1.61099 + 2.24639i −0.0803490 + 0.112040i
\(403\) −8.78639 + 17.4674i −0.437681 + 0.870114i
\(404\) 6.93191 + 12.0064i 0.344875 + 0.597342i
\(405\) −8.77115 + 21.0877i −0.435842 + 1.04786i
\(406\) −17.0237 + 6.83784i −0.844872 + 0.339356i
\(407\) 18.0477i 0.894593i
\(408\) 5.82643 2.63734i 0.288451 0.130568i
\(409\) 15.2106 26.3456i 0.752118 1.30271i −0.194677 0.980867i \(-0.562366\pi\)
0.946794 0.321839i \(-0.104301\pi\)
\(410\) −3.85338 + 6.67425i −0.190305 + 0.329618i
\(411\) −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
\(416\) −1.62022 + 3.22101i −0.0794377 + 0.157923i
\(417\) −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 \(-0.907887\pi\)
0.958420 0.285360i \(-0.0921133\pi\)
\(422\) 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
\(429\) 14.6525 7.67672i 0.707431 0.370636i
\(430\) −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 \(0.0212941\pi\)
\(432\) 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 \(-0.679792\pi\)
−0.535274 + 0.844679i \(0.679792\pi\)
\(450\) −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
\(455\) −21.9075 + 10.2998i −1.02704 + 0.482862i
\(456\) 0.0824136 0.833620i 0.00385937 0.0390378i
\(457\) −11.5835 + 6.68771i −0.541851 + 0.312838i −0.745829 0.666138i \(-0.767946\pi\)
0.203978 + 0.978976i \(0.434613\pi\)
\(458\) 13.3120 23.0571i 0.622029 1.07739i
\(459\) 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 \(0.00576367\pi\)
−0.999836 + 0.0181061i \(0.994236\pi\)
\(462\) 8.76647 + 8.39570i 0.407853 + 0.390603i
\(463\) 3.19686i 0.148571i −0.997237 0.0742854i \(-0.976332\pi\)
0.997237 0.0742854i \(-0.0236676\pi\)
\(464\) 6.00502 3.46700i 0.278776 0.160951i
\(465\) −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 \(0.843927\pi\)
\(468\) −10.7115 1.50449i −0.495140 0.0695452i
\(469\) 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 0.692205 0.721701i \(-0.256640\pi\)
−0.278909 + 0.960317i \(0.589973\pi\)
\(480\) −2.56153 + 3.57184i −0.116917 + 0.163031i
\(481\) 20.5337 13.4865i 0.936256 0.614932i
\(482\) −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 0.546407 0.837520i \(-0.315995\pi\)
−0.452109 + 0.891962i \(0.649328\pi\)
\(488\) 4.25236 2.45510i 0.192495 0.111137i
\(489\) −9.45187 0.934434i −0.427428 0.0422565i
\(490\) −12.2878 12.8282i −0.555104 0.579518i
\(491\) 12.3575i 0.557686i 0.960337 + 0.278843i \(0.0899509\pi\)
−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
\(494\) −0.783598 + 1.55780i −0.0352557 + 0.0700887i
\(495\) 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 −0.795071 0.606516i \(-0.792566\pi\)
0.127723 + 0.991810i \(0.459233\pi\)
\(500\) −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
\(507\) 19.6835 + 10.9343i 0.874177 + 0.485608i
\(508\) 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
\(513\) 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
\(520\) 7.64769 5.02300i 0.335373 0.220273i
\(521\) 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 −0.974832 0.222941i \(-0.928434\pi\)
−0.294343 + 0.955700i \(0.595101\pi\)
\(542\) −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
\(546\) −3.00124 + 16.2478i −0.128441 + 0.695344i
\(547\) 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 −0.995619 0.0935006i \(-0.970194\pi\)
0.578784 + 0.815481i \(0.303528\pi\)
\(558\) 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 \(0.169441\pi\)
\(572\) 5.24294 + 7.98256i 0.219218 + 0.333768i
\(573\) −45.1155 4.46022i −1.88473 0.186328i
\(574\) 7.45599 2.99482i 0.311207 0.125001i
\(575\) 6.80712i 0.283877i
\(576\) 0.962231 + 2.84150i 0.0400930 + 0.118396i
\(577\) −1.18972 + 2.06066i −0.0495287 + 0.0857863i −0.889727 0.456493i \(-0.849105\pi\)
0.840198 + 0.542279i \(0.182439\pi\)
\(578\) 1.68286 2.91480i 0.0699978 0.121240i
\(579\) −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
\(585\) 21.6317 + 16.8976i 0.894360 + 0.698630i
\(586\) −28.0789 + 16.2114i −1.15993 + 0.669686i
\(587\) 28.1076i 1.16013i 0.814572 + 0.580063i \(0.196972\pi\)
−0.814572 + 0.580063i \(0.803028\pi\)
\(588\) −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 −0.794713 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
\(597\) −19.1113 42.2208i −0.782174 1.72798i
\(598\) −15.2282 7.66001i −0.622726 0.313241i
\(599\) −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
\(611\) −23.1826 + 15.2263i −0.937868 + 0.615991i
\(612\) −7.30995 + 8.32305i −0.295487 + 0.336439i
\(613\) −15.4716 8.93253i −0.624892 0.360781i 0.153879 0.988090i \(-0.450823\pi\)
−0.778771 + 0.627308i \(0.784157\pi\)
\(614\) −15.0178 26.0117i −0.606071 1.04974i
\(615\) 1.31326 13.2837i 0.0529558 0.535652i
\(616\) −4.32580 + 5.51365i −0.174291 + 0.222151i
\(617\) −29.5144 −1.18821 −0.594103 0.804389i \(-0.702493\pi\)
−0.594103 + 0.804389i \(0.702493\pi\)
\(618\) 6.52195 + 14.4083i 0.262351 + 0.579588i
\(619\) 16.8277 29.1465i 0.676363 1.17149i −0.299706 0.954032i \(-0.596888\pi\)
0.976069 0.217463i \(-0.0697782\pi\)
\(620\) −11.9180 6.88088i −0.478640 0.276343i
\(621\) 5.55203 + 23.9306i 0.222795 + 0.960301i
\(622\) −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
\(627\) −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 \(0.304242\pi\)
−0.576953 + 0.816778i \(0.695758\pi\)
\(632\) −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
\(637\) 24.5983 + 5.64995i 0.974622 + 0.223859i
\(638\) 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 \(-0.163904\pi\)
0.870333 + 0.492464i \(0.163904\pi\)
\(644\) 1.76599 12.3832i 0.0695898 0.487966i
\(645\) 22.3542 + 2.20999i 0.880195 + 0.0870181i
\(646\) 0.892906 + 1.54656i 0.0351309 + 0.0608485i
\(647\) 6.42771 11.1331i 0.252699 0.437688i −0.711569 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 −0.707729 0.706484i \(-0.750280\pi\)
0.965697 + 0.259670i \(0.0836138\pi\)
\(662\) 13.1995 + 7.62074i 0.513013 + 0.296188i
\(663\) 20.4259 10.7015i 0.793274 0.415610i
\(664\) 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
\(676\) −5.16422 + 11.9302i −0.198624 + 0.458856i
\(677\) 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 −0.951830 0.306627i \(-0.900800\pi\)
0.741462 + 0.670995i \(0.234133\pi\)
\(684\) 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
\(689\) −30.2576 15.2201i −1.15272 0.579838i
\(690\) −16.8868 12.1103i −0.642870 0.461031i
\(691\) −17.4124 30.1592i −0.662400 1.14731i −0.979983 0.199081i \(-0.936204\pi\)
0.317583 0.948231i \(-0.397129\pi\)
\(692\) 6.90723 0.262573
\(693\) −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 \(-0.212495\pi\)
\(702\) 17.9765 5.27672i 0.678481 0.199157i
\(703\) −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 −0.949631 0.313371i \(-0.898542\pi\)
−0.203428 + 0.979090i \(0.565208\pi\)
\(710\) 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 \(0.972773\pi\)
\(728\) −9.50566 0.801464i −0.352303 0.0297042i
\(729\) −22.4166 15.0498i −0.830243 0.557402i
\(730\) 28.8974 16.6839i 1.06954 0.617499i
\(731\) 9.43538 16.3426i 0.348980 0.604451i
\(732\) −4.95635 + 6.91121i −0.183192 + 0.255446i
\(733\) 0.675297 + 1.16965i 0.0249427 + 0.0432020i 0.878227 0.478243i \(-0.158726\pi\)
−0.853285 + 0.521445i \(0.825393\pi\)
\(734\) 23.6812i 0.874088i
\(735\) 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 0.0460384 0.998940i \(-0.485340\pi\)
−0.842088 + 0.539340i \(0.818674\pi\)
\(740\) 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 \(0.189014\pi\)
\(744\) −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
\(754\) 20.8967 13.7249i 0.761012 0.499832i
\(755\) 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 −0.245682 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
\(765\) 26.6257 9.01638i 0.962652 0.325988i
\(766\) 7.94443 + 4.58672i 0.287044 + 0.165725i
\(767\) −18.5411 9.32646i −0.669480 0.336759i
\(768\) −1.57792 + 0.714250i −0.0569385 + 0.0257733i
\(769\) −34.6475 −1.24942 −0.624710 0.780857i \(-0.714783\pi\)
−0.624710 + 0.780857i \(0.714783\pi\)
\(770\) 16.5027 6.62859i 0.594717 0.238878i
\(771\) 2.97892 30.1320i 0.107283 1.08518i
\(772\) 1.84511 1.06527i 0.0664069 0.0383400i
\(773\) 0.0831890 + 0.0480292i 0.00299210 + 0.00172749i 0.501495 0.865160i \(-0.332783\pi\)
−0.498503 + 0.866888i \(0.666117\pi\)
\(774\) 10.1175 11.5197i 0.363664 0.414066i
\(775\) 3.90404