Properties

Label 126.2.m.a.83.8
Level $126$
Weight $2$
Character 126.83
Analytic conductor $1.006$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 126 = 2 \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 126.m (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.00611506547\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 6 x^{14} + 9 x^{12} + 54 x^{10} - 288 x^{8} + 486 x^{6} + 729 x^{4} - 4374 x^{2} + 6561\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 83.8
Root \(-1.69547 + 0.354107i\) of defining polynomial
Character \(\chi\) \(=\) 126.83
Dual form 126.2.m.a.41.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(1.69547 - 0.354107i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.895175 - 1.55049i) q^{5} +(1.64537 + 0.541068i) q^{6} +(-2.30191 + 1.30430i) q^{7} +1.00000i q^{8} +(2.74922 - 1.20075i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(1.69547 - 0.354107i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.895175 - 1.55049i) q^{5} +(1.64537 + 0.541068i) q^{6} +(-2.30191 + 1.30430i) q^{7} +1.00000i q^{8} +(2.74922 - 1.20075i) q^{9} -1.79035i q^{10} +(-2.07976 - 1.20075i) q^{11} +(1.15440 + 1.29126i) q^{12} +(-4.23601 + 2.44566i) q^{13} +(-2.64566 - 0.0213944i) q^{14} +(-2.06678 - 2.31181i) q^{15} +(-0.500000 + 0.866025i) q^{16} +3.66466 q^{17} +(2.98127 + 0.334727i) q^{18} +3.01701i q^{19} +(0.895175 - 1.55049i) q^{20} +(-3.44095 + 3.02653i) q^{21} +(-1.20075 - 2.07976i) q^{22} +(3.26178 - 1.88319i) q^{23} +(0.354107 + 1.69547i) q^{24} +(0.897324 - 1.55421i) q^{25} -4.89133 q^{26} +(4.23601 - 3.00935i) q^{27} +(-2.28052 - 1.34136i) q^{28} +(-5.68202 - 3.28052i) q^{29} +(-0.633975 - 3.03548i) q^{30} +(-4.02408 + 2.32330i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-3.95136 - 1.29938i) q^{33} +(3.17369 + 1.83233i) q^{34} +(4.08292 + 2.40150i) q^{35} +(2.41449 + 1.78052i) q^{36} +9.36404 q^{37} +(-1.50851 + 2.61281i) q^{38} +(-6.31599 + 5.64654i) q^{39} +(1.55049 - 0.895175i) q^{40} +(-4.04094 - 6.99911i) q^{41} +(-4.49321 + 0.900574i) q^{42} +(-3.48127 + 6.02973i) q^{43} -2.40150i q^{44} +(-4.32278 - 3.18775i) q^{45} +3.76638 q^{46} +(2.56802 - 4.44794i) q^{47} +(-0.541068 + 1.64537i) q^{48} +(3.59758 - 6.00478i) q^{49} +(1.55421 - 0.897324i) q^{50} +(6.21332 - 1.29768i) q^{51} +(-4.23601 - 2.44566i) q^{52} +(5.17317 - 0.488168i) q^{54} +4.29953i q^{55} +(-1.30430 - 2.30191i) q^{56} +(1.06834 + 5.11524i) q^{57} +(-3.28052 - 5.68202i) q^{58} +(7.29501 + 12.6353i) q^{59} +(0.968701 - 2.94579i) q^{60} +(9.81058 + 5.66414i) q^{61} -4.64661 q^{62} +(-4.76230 + 6.34984i) q^{63} -1.00000 q^{64} +(7.58394 + 4.37859i) q^{65} +(-2.77229 - 3.10098i) q^{66} +(-0.285115 - 0.493834i) q^{67} +(1.83233 + 3.17369i) q^{68} +(4.86340 - 4.34791i) q^{69} +(2.33516 + 4.12122i) q^{70} +5.96254i q^{71} +(1.20075 + 2.74922i) q^{72} -12.3814i q^{73} +(8.10950 + 4.68202i) q^{74} +(0.971027 - 2.95286i) q^{75} +(-2.61281 + 1.50851i) q^{76} +(6.35358 + 0.0513786i) q^{77} +(-8.29308 + 1.73205i) q^{78} +(-1.51831 + 2.62979i) q^{79} +1.79035 q^{80} +(6.11639 - 6.60226i) q^{81} -8.08188i q^{82} +(-7.00270 + 12.1290i) q^{83} +(-4.34152 - 1.46669i) q^{84} +(-3.28052 - 5.68202i) q^{85} +(-6.02973 + 3.48127i) q^{86} +(-10.7953 - 3.54997i) q^{87} +(1.20075 - 2.07976i) q^{88} -3.74863 q^{89} +(-2.14977 - 4.92206i) q^{90} +(6.56103 - 11.1547i) q^{91} +(3.26178 + 1.88319i) q^{92} +(-6.00000 + 5.36404i) q^{93} +(4.44794 - 2.56802i) q^{94} +(4.67784 - 2.70075i) q^{95} +(-1.29126 + 1.15440i) q^{96} +(4.77256 + 2.75544i) q^{97} +(6.11799 - 3.40150i) q^{98} +(-7.15953 - 0.803848i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 8q^{4} + 2q^{7} + 12q^{9} + O(q^{10}) \) \( 16q + 8q^{4} + 2q^{7} + 12q^{9} - 12q^{11} - 6q^{14} - 8q^{16} - 12q^{18} + 18q^{21} - 48q^{23} - 8q^{25} + 4q^{28} - 12q^{29} - 24q^{30} + 12q^{36} - 8q^{37} - 36q^{39} - 12q^{42} + 4q^{43} + 24q^{46} - 8q^{49} + 60q^{50} + 12q^{51} - 6q^{56} + 48q^{57} - 12q^{58} + 24q^{60} + 24q^{63} - 16q^{64} + 84q^{65} - 28q^{67} + 36q^{74} + 78q^{77} - 24q^{78} - 4q^{79} + 36q^{81} + 18q^{84} - 12q^{85} - 24q^{86} + 24q^{91} - 48q^{92} - 96q^{93} + 12q^{95} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) 1.69547 0.354107i 0.978878 0.204444i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.895175 1.55049i −0.400334 0.693399i 0.593432 0.804884i \(-0.297773\pi\)
−0.993766 + 0.111485i \(0.964439\pi\)
\(6\) 1.64537 + 0.541068i 0.671720 + 0.220890i
\(7\) −2.30191 + 1.30430i −0.870040 + 0.492981i
\(8\) 1.00000i 0.353553i
\(9\) 2.74922 1.20075i 0.916406 0.400251i
\(10\) 1.79035i 0.566158i
\(11\) −2.07976 1.20075i −0.627072 0.362040i 0.152545 0.988297i \(-0.451253\pi\)
−0.779617 + 0.626256i \(0.784586\pi\)
\(12\) 1.15440 + 1.29126i 0.333246 + 0.372756i
\(13\) −4.23601 + 2.44566i −1.17486 + 0.678305i −0.954820 0.297186i \(-0.903952\pi\)
−0.220039 + 0.975491i \(0.570618\pi\)
\(14\) −2.64566 0.0213944i −0.707084 0.00571788i
\(15\) −2.06678 2.31181i −0.533640 0.596908i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 3.66466 0.888812 0.444406 0.895826i \(-0.353415\pi\)
0.444406 + 0.895826i \(0.353415\pi\)
\(18\) 2.98127 + 0.334727i 0.702692 + 0.0788958i
\(19\) 3.01701i 0.692150i 0.938207 + 0.346075i \(0.112486\pi\)
−0.938207 + 0.346075i \(0.887514\pi\)
\(20\) 0.895175 1.55049i 0.200167 0.346700i
\(21\) −3.44095 + 3.02653i −0.750877 + 0.660442i
\(22\) −1.20075 2.07976i −0.256001 0.443407i
\(23\) 3.26178 1.88319i 0.680129 0.392673i −0.119775 0.992801i \(-0.538217\pi\)
0.799904 + 0.600128i \(0.204884\pi\)
\(24\) 0.354107 + 1.69547i 0.0722817 + 0.346086i
\(25\) 0.897324 1.55421i 0.179465 0.310842i
\(26\) −4.89133 −0.959268
\(27\) 4.23601 3.00935i 0.815221 0.579150i
\(28\) −2.28052 1.34136i −0.430977 0.253493i
\(29\) −5.68202 3.28052i −1.05512 0.609176i −0.131045 0.991376i \(-0.541833\pi\)
−0.924080 + 0.382200i \(0.875167\pi\)
\(30\) −0.633975 3.03548i −0.115747 0.554200i
\(31\) −4.02408 + 2.32330i −0.722746 + 0.417278i −0.815763 0.578387i \(-0.803682\pi\)
0.0930163 + 0.995665i \(0.470349\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −3.95136 1.29938i −0.687844 0.226193i
\(34\) 3.17369 + 1.83233i 0.544284 + 0.314242i
\(35\) 4.08292 + 2.40150i 0.690140 + 0.405928i
\(36\) 2.41449 + 1.78052i 0.402415 + 0.296753i
\(37\) 9.36404 1.53944 0.769719 0.638382i \(-0.220396\pi\)
0.769719 + 0.638382i \(0.220396\pi\)
\(38\) −1.50851 + 2.61281i −0.244712 + 0.423853i
\(39\) −6.31599 + 5.64654i −1.01137 + 0.904170i
\(40\) 1.55049 0.895175i 0.245154 0.141540i
\(41\) −4.04094 6.99911i −0.631088 1.09308i −0.987330 0.158683i \(-0.949275\pi\)
0.356241 0.934394i \(-0.384058\pi\)
\(42\) −4.49321 + 0.900574i −0.693318 + 0.138962i
\(43\) −3.48127 + 6.02973i −0.530888 + 0.919526i 0.468462 + 0.883484i \(0.344808\pi\)
−0.999350 + 0.0360419i \(0.988525\pi\)
\(44\) 2.40150i 0.362040i
\(45\) −4.32278 3.18775i −0.644402 0.475201i
\(46\) 3.76638 0.555323
\(47\) 2.56802 4.44794i 0.374584 0.648799i −0.615680 0.787996i \(-0.711119\pi\)
0.990265 + 0.139197i \(0.0444520\pi\)
\(48\) −0.541068 + 1.64537i −0.0780965 + 0.237489i
\(49\) 3.59758 6.00478i 0.513940 0.857826i
\(50\) 1.55421 0.897324i 0.219799 0.126901i
\(51\) 6.21332 1.29768i 0.870039 0.181712i
\(52\) −4.23601 2.44566i −0.587429 0.339152i
\(53\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(54\) 5.17317 0.488168i 0.703979 0.0664313i
\(55\) 4.29953i 0.579749i
\(56\) −1.30430 2.30191i −0.174295 0.307606i
\(57\) 1.06834 + 5.11524i 0.141506 + 0.677530i
\(58\) −3.28052 5.68202i −0.430753 0.746086i
\(59\) 7.29501 + 12.6353i 0.949729 + 1.64498i 0.745994 + 0.665953i \(0.231975\pi\)
0.203735 + 0.979026i \(0.434692\pi\)
\(60\) 0.968701 2.94579i 0.125059 0.380300i
\(61\) 9.81058 + 5.66414i 1.25612 + 0.725219i 0.972317 0.233665i \(-0.0750718\pi\)
0.283799 + 0.958884i \(0.408405\pi\)
\(62\) −4.64661 −0.590120
\(63\) −4.76230 + 6.34984i −0.599994 + 0.800005i
\(64\) −1.00000 −0.125000
\(65\) 7.58394 + 4.37859i 0.940672 + 0.543097i
\(66\) −2.77229 3.10098i −0.341246 0.381704i
\(67\) −0.285115 0.493834i −0.0348324 0.0603315i 0.848084 0.529862i \(-0.177756\pi\)
−0.882916 + 0.469531i \(0.844423\pi\)
\(68\) 1.83233 + 3.17369i 0.222203 + 0.384867i
\(69\) 4.86340 4.34791i 0.585484 0.523427i
\(70\) 2.33516 + 4.12122i 0.279105 + 0.492580i
\(71\) 5.96254i 0.707623i 0.935317 + 0.353811i \(0.115115\pi\)
−0.935317 + 0.353811i \(0.884885\pi\)
\(72\) 1.20075 + 2.74922i 0.141510 + 0.323998i
\(73\) 12.3814i 1.44913i −0.689204 0.724567i \(-0.742040\pi\)
0.689204 0.724567i \(-0.257960\pi\)
\(74\) 8.10950 + 4.68202i 0.942710 + 0.544274i
\(75\) 0.971027 2.95286i 0.112125 0.340967i
\(76\) −2.61281 + 1.50851i −0.299710 + 0.173037i
\(77\) 6.35358 + 0.0513786i 0.724057 + 0.00585514i
\(78\) −8.29308 + 1.73205i −0.939007 + 0.196116i
\(79\) −1.51831 + 2.62979i −0.170824 + 0.295875i −0.938708 0.344713i \(-0.887976\pi\)
0.767884 + 0.640588i \(0.221309\pi\)
\(80\) 1.79035 0.200167
\(81\) 6.11639 6.60226i 0.679599 0.733584i
\(82\) 8.08188i 0.892494i
\(83\) −7.00270 + 12.1290i −0.768646 + 1.33133i 0.169651 + 0.985504i \(0.445736\pi\)
−0.938297 + 0.345830i \(0.887597\pi\)
\(84\) −4.34152 1.46669i −0.473699 0.160029i
\(85\) −3.28052 5.68202i −0.355822 0.616302i
\(86\) −6.02973 + 3.48127i −0.650203 + 0.375395i
\(87\) −10.7953 3.54997i −1.15738 0.380596i
\(88\) 1.20075 2.07976i 0.128001 0.221704i
\(89\) −3.74863 −0.397354 −0.198677 0.980065i \(-0.563664\pi\)
−0.198677 + 0.980065i \(0.563664\pi\)
\(90\) −2.14977 4.92206i −0.226605 0.518831i
\(91\) 6.56103 11.1547i 0.687783 1.16934i
\(92\) 3.26178 + 1.88319i 0.340064 + 0.196336i
\(93\) −6.00000 + 5.36404i −0.622171 + 0.556225i
\(94\) 4.44794 2.56802i 0.458770 0.264871i
\(95\) 4.67784 2.70075i 0.479936 0.277091i
\(96\) −1.29126 + 1.15440i −0.131789 + 0.117820i
\(97\) 4.77256 + 2.75544i 0.484580 + 0.279772i 0.722323 0.691556i \(-0.243074\pi\)
−0.237743 + 0.971328i \(0.576408\pi\)
\(98\) 6.11799 3.40150i 0.618010 0.343604i
\(99\) −7.15953 0.803848i −0.719560 0.0807897i
\(100\) 1.79465 0.179465
\(101\) −0.125162 + 0.216787i −0.0124541 + 0.0215711i −0.872185 0.489176i \(-0.837298\pi\)
0.859731 + 0.510747i \(0.170631\pi\)
\(102\) 6.02973 + 1.98283i 0.597033 + 0.196330i
\(103\) 0.145433 0.0839657i 0.0143299 0.00827339i −0.492818 0.870132i \(-0.664033\pi\)
0.507148 + 0.861859i \(0.330700\pi\)
\(104\) −2.44566 4.23601i −0.239817 0.415375i
\(105\) 7.77285 + 2.62588i 0.758552 + 0.256260i
\(106\) 0 0
\(107\) 7.99080i 0.772500i −0.922394 0.386250i \(-0.873770\pi\)
0.922394 0.386250i \(-0.126230\pi\)
\(108\) 4.72418 + 2.16382i 0.454585 + 0.208214i
\(109\) −18.9533 −1.81540 −0.907700 0.419619i \(-0.862164\pi\)
−0.907700 + 0.419619i \(0.862164\pi\)
\(110\) −2.14977 + 3.72350i −0.204972 + 0.355022i
\(111\) 15.8764 3.31587i 1.50692 0.314728i
\(112\) 0.0213944 2.64566i 0.00202158 0.249992i
\(113\) −1.00418 + 0.579764i −0.0944653 + 0.0545396i −0.546488 0.837467i \(-0.684036\pi\)
0.452023 + 0.892006i \(0.350702\pi\)
\(114\) −1.63241 + 4.96410i −0.152889 + 0.464931i
\(115\) −5.83973 3.37157i −0.544558 0.314401i
\(116\) 6.56103i 0.609176i
\(117\) −8.70908 + 11.8101i −0.805155 + 1.09184i
\(118\) 14.5900i 1.34312i
\(119\) −8.43573 + 4.77984i −0.773302 + 0.438167i
\(120\) 2.31181 2.06678i 0.211039 0.188670i
\(121\) −2.61639 4.53172i −0.237854 0.411974i
\(122\) 5.66414 + 9.81058i 0.512807 + 0.888208i
\(123\) −9.32971 10.4358i −0.841231 0.940968i
\(124\) −4.02408 2.32330i −0.361373 0.208639i
\(125\) −12.1648 −1.08805
\(126\) −7.29920 + 3.11797i −0.650264 + 0.277771i
\(127\) 1.40150 0.124363 0.0621817 0.998065i \(-0.480194\pi\)
0.0621817 + 0.998065i \(0.480194\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) −3.76721 + 11.4560i −0.331684 + 1.00864i
\(130\) 4.37859 + 7.58394i 0.384028 + 0.665156i
\(131\) −5.24589 9.08614i −0.458335 0.793860i 0.540538 0.841320i \(-0.318221\pi\)
−0.998873 + 0.0474597i \(0.984887\pi\)
\(132\) −0.850388 4.07167i −0.0740168 0.354393i
\(133\) −3.93510 6.94489i −0.341216 0.602198i
\(134\) 0.570231i 0.0492604i
\(135\) −8.45794 3.87399i −0.727943 0.333420i
\(136\) 3.66466i 0.314242i
\(137\) −4.08812 2.36028i −0.349272 0.201652i 0.315093 0.949061i \(-0.397964\pi\)
−0.664365 + 0.747409i \(0.731298\pi\)
\(138\) 6.38578 1.33370i 0.543594 0.113532i
\(139\) −2.04707 + 1.18187i −0.173630 + 0.100245i −0.584296 0.811540i \(-0.698629\pi\)
0.410666 + 0.911786i \(0.365296\pi\)
\(140\) −0.0383034 + 4.73667i −0.00323723 + 0.400321i
\(141\) 2.77895 8.45070i 0.234030 0.711677i
\(142\) −2.98127 + 5.16371i −0.250182 + 0.433329i
\(143\) 11.7465 0.982295
\(144\) −0.334727 + 2.98127i −0.0278939 + 0.248439i
\(145\) 11.7465i 0.975497i
\(146\) 6.19070 10.7226i 0.512346 0.887410i
\(147\) 3.97325 11.4548i 0.327708 0.944779i
\(148\) 4.68202 + 8.10950i 0.384860 + 0.666597i
\(149\) −15.0377 + 8.68202i −1.23194 + 0.711259i −0.967433 0.253126i \(-0.918541\pi\)
−0.264503 + 0.964385i \(0.585208\pi\)
\(150\) 2.31737 2.07174i 0.189212 0.169157i
\(151\) 5.61639 9.72787i 0.457055 0.791643i −0.541749 0.840541i \(-0.682238\pi\)
0.998804 + 0.0488977i \(0.0155708\pi\)
\(152\) −3.01701 −0.244712
\(153\) 10.0750 4.40035i 0.814512 0.355748i
\(154\) 5.47667 + 3.22128i 0.441322 + 0.259578i
\(155\) 7.20451 + 4.15953i 0.578680 + 0.334101i
\(156\) −8.04805 2.64654i −0.644359 0.211893i
\(157\) 11.9885 6.92154i 0.956783 0.552399i 0.0616014 0.998101i \(-0.480379\pi\)
0.895181 + 0.445702i \(0.147046\pi\)
\(158\) −2.62979 + 1.51831i −0.209215 + 0.120790i
\(159\) 0 0
\(160\) 1.55049 + 0.895175i 0.122577 + 0.0707698i
\(161\) −5.05208 + 8.58930i −0.398159 + 0.676931i
\(162\) 8.59808 2.65953i 0.675529 0.208952i
\(163\) −4.33577 −0.339604 −0.169802 0.985478i \(-0.554313\pi\)
−0.169802 + 0.985478i \(0.554313\pi\)
\(164\) 4.04094 6.99911i 0.315544 0.546539i
\(165\) 1.52249 + 7.28972i 0.118526 + 0.567504i
\(166\) −12.1290 + 7.00270i −0.941395 + 0.543515i
\(167\) −6.20756 10.7518i −0.480355 0.832000i 0.519391 0.854537i \(-0.326159\pi\)
−0.999746 + 0.0225370i \(0.992826\pi\)
\(168\) −3.02653 3.44095i −0.233502 0.265475i
\(169\) 5.46254 9.46139i 0.420195 0.727799i
\(170\) 6.56103i 0.503208i
\(171\) 3.62268 + 8.29442i 0.277033 + 0.634290i
\(172\) −6.96254 −0.530888
\(173\) 8.70908 15.0846i 0.662139 1.14686i −0.317913 0.948120i \(-0.602982\pi\)
0.980052 0.198739i \(-0.0636846\pi\)
\(174\) −7.57405 8.47203i −0.574187 0.642263i
\(175\) −0.0383954 + 4.74804i −0.00290242 + 0.358918i
\(176\) 2.07976 1.20075i 0.156768 0.0905101i
\(177\) 16.8427 + 18.8396i 1.26597 + 1.41607i
\(178\) −3.24641 1.87432i −0.243329 0.140486i
\(179\) 13.1221i 0.980789i 0.871501 + 0.490395i \(0.163147\pi\)
−0.871501 + 0.490395i \(0.836853\pi\)
\(180\) 0.599278 5.33751i 0.0446675 0.397835i
\(181\) 13.3577i 0.992873i 0.868073 + 0.496437i \(0.165359\pi\)
−0.868073 + 0.496437i \(0.834641\pi\)
\(182\) 11.2594 6.37978i 0.834602 0.472901i
\(183\) 18.6392 + 6.12937i 1.37785 + 0.453096i
\(184\) 1.88319 + 3.26178i 0.138831 + 0.240462i
\(185\) −8.38245 14.5188i −0.616290 1.06745i
\(186\) −7.87817 + 1.64539i −0.577656 + 0.120646i
\(187\) −7.62164 4.40035i −0.557349 0.321786i
\(188\) 5.13604 0.374584
\(189\) −5.82581 + 12.4523i −0.423765 + 0.905772i
\(190\) 5.40150 0.391866
\(191\) −8.01361 4.62666i −0.579845 0.334774i 0.181227 0.983441i \(-0.441993\pi\)
−0.761072 + 0.648668i \(0.775326\pi\)
\(192\) −1.69547 + 0.354107i −0.122360 + 0.0255554i
\(193\) 12.2801 + 21.2698i 0.883941 + 1.53103i 0.846923 + 0.531716i \(0.178452\pi\)
0.0370176 + 0.999315i \(0.488214\pi\)
\(194\) 2.75544 + 4.77256i 0.197829 + 0.342650i
\(195\) 14.4088 + 4.73823i 1.03184 + 0.339312i
\(196\) 6.99908 + 0.113205i 0.499935 + 0.00808604i
\(197\) 12.4861i 0.889598i −0.895630 0.444799i \(-0.853275\pi\)
0.895630 0.444799i \(-0.146725\pi\)
\(198\) −5.79841 4.27592i −0.412075 0.303876i
\(199\) 0.179145i 0.0126993i 0.999980 + 0.00634964i \(0.00202117\pi\)
−0.999980 + 0.00634964i \(0.997979\pi\)
\(200\) 1.55421 + 0.897324i 0.109899 + 0.0634504i
\(201\) −0.658274 0.736319i −0.0464311 0.0519359i
\(202\) −0.216787 + 0.125162i −0.0152531 + 0.00880637i
\(203\) 17.3583 + 0.140369i 1.21831 + 0.00985198i
\(204\) 4.23048 + 4.73205i 0.296193 + 0.331310i
\(205\) −7.23469 + 12.5309i −0.505293 + 0.875193i
\(206\) 0.167931 0.0117003
\(207\) 6.70610 9.09390i 0.466107 0.632069i
\(208\) 4.89133i 0.339152i
\(209\) 3.62268 6.27467i 0.250586 0.434028i
\(210\) 5.41854 + 6.16050i 0.373915 + 0.425115i
\(211\) 7.56103 + 13.0961i 0.520523 + 0.901572i 0.999715 + 0.0238622i \(0.00759629\pi\)
−0.479192 + 0.877710i \(0.659070\pi\)
\(212\) 0 0
\(213\) 2.11137 + 10.1093i 0.144669 + 0.692677i
\(214\) 3.99540 6.92024i 0.273120 0.473058i
\(215\) 12.4654 0.850131
\(216\) 3.00935 + 4.23601i 0.204760 + 0.288224i
\(217\) 6.23278 10.5967i 0.423109 0.719348i
\(218\) −16.4141 9.47667i −1.11170 0.641841i
\(219\) −4.38434 20.9923i −0.296266 1.41853i
\(220\) −3.72350 + 2.14977i −0.251039 + 0.144937i
\(221\) −15.5236 + 8.96254i −1.04423 + 0.602885i
\(222\) 15.4073 + 5.06658i 1.03407 + 0.340047i
\(223\) −7.27049 4.19762i −0.486868 0.281093i 0.236406 0.971654i \(-0.424030\pi\)
−0.723274 + 0.690561i \(0.757364\pi\)
\(224\) 1.34136 2.28052i 0.0896234 0.152373i
\(225\) 0.600717 5.35033i 0.0400478 0.356688i
\(226\) −1.15953 −0.0771306
\(227\) 1.21261 2.10030i 0.0804836 0.139402i −0.822974 0.568079i \(-0.807687\pi\)
0.903458 + 0.428677i \(0.141020\pi\)
\(228\) −3.89576 + 3.48283i −0.258003 + 0.230656i
\(229\) 1.74915 1.00987i 0.115587 0.0667344i −0.441092 0.897462i \(-0.645409\pi\)
0.556679 + 0.830728i \(0.312075\pi\)
\(230\) −3.37157 5.83973i −0.222315 0.385061i
\(231\) 10.7905 2.16273i 0.709961 0.142297i
\(232\) 3.28052 5.68202i 0.215376 0.373043i
\(233\) 12.7289i 0.833899i 0.908930 + 0.416950i \(0.136901\pi\)
−0.908930 + 0.416950i \(0.863099\pi\)
\(234\) −13.4473 + 5.87327i −0.879079 + 0.383948i
\(235\) −9.19531 −0.599836
\(236\) −7.29501 + 12.6353i −0.474864 + 0.822489i
\(237\) −1.64302 + 4.99637i −0.106726 + 0.324549i
\(238\) −9.69548 0.0784032i −0.628464 0.00508212i
\(239\) 15.1117 8.72474i 0.977494 0.564356i 0.0759814 0.997109i \(-0.475791\pi\)
0.901513 + 0.432753i \(0.142458\pi\)
\(240\) 3.03548 0.633975i 0.195939 0.0409229i
\(241\) 9.90142 + 5.71659i 0.637807 + 0.368238i 0.783769 0.621052i \(-0.213295\pi\)
−0.145963 + 0.989290i \(0.546628\pi\)
\(242\) 5.23278i 0.336376i
\(243\) 8.03223 13.3598i 0.515268 0.857029i
\(244\) 11.3283i 0.725219i
\(245\) −12.5308 0.202676i −0.800564 0.0129485i
\(246\) −2.86185 13.7026i −0.182465 0.873643i
\(247\) −7.37859 12.7801i −0.469489 0.813178i
\(248\) −2.32330 4.02408i −0.147530 0.255529i
\(249\) −7.57788 + 23.0441i −0.480228 + 1.46036i
\(250\) −10.5350 6.08240i −0.666293 0.384685i
\(251\) −27.3560 −1.72669 −0.863347 0.504611i \(-0.831636\pi\)
−0.863347 + 0.504611i \(0.831636\pi\)
\(252\) −7.88027 0.949357i −0.496411 0.0598039i
\(253\) −9.04499 −0.568653
\(254\) 1.21374 + 0.700752i 0.0761567 + 0.0439691i
\(255\) −7.57405 8.47203i −0.474305 0.530539i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 1.74837 + 3.02826i 0.109060 + 0.188898i 0.915390 0.402569i \(-0.131883\pi\)
−0.806330 + 0.591466i \(0.798549\pi\)
\(258\) −8.99047 + 8.03754i −0.559722 + 0.500396i
\(259\) −21.5552 + 12.2136i −1.33937 + 0.758914i
\(260\) 8.75718i 0.543097i
\(261\) −19.5602 2.19615i −1.21075 0.135938i
\(262\) 10.4918i 0.648184i
\(263\) −8.35150 4.82174i −0.514976 0.297321i 0.219901 0.975522i \(-0.429427\pi\)
−0.734877 + 0.678201i \(0.762760\pi\)
\(264\) 1.29938 3.95136i 0.0799712 0.243190i
\(265\) 0 0
\(266\) 0.0645470 7.98200i 0.00395763 0.489408i
\(267\) −6.35568 + 1.32741i −0.388961 + 0.0812365i
\(268\) 0.285115 0.493834i 0.0174162 0.0301657i
\(269\) −6.91107 −0.421376 −0.210688 0.977553i \(-0.567570\pi\)
−0.210688 + 0.977553i \(0.567570\pi\)
\(270\) −5.38779 7.58394i −0.327891 0.461544i
\(271\) 20.6312i 1.25326i 0.779318 + 0.626629i \(0.215566\pi\)
−0.779318 + 0.626629i \(0.784434\pi\)
\(272\) −1.83233 + 3.17369i −0.111101 + 0.192433i
\(273\) 7.17404 21.2358i 0.434193 1.28525i
\(274\) −2.36028 4.08812i −0.142590 0.246973i
\(275\) −3.73244 + 2.15493i −0.225075 + 0.129947i
\(276\) 6.19710 + 2.03787i 0.373021 + 0.122665i
\(277\) 7.75718 13.4358i 0.466084 0.807281i −0.533166 0.846011i \(-0.678998\pi\)
0.999250 + 0.0387296i \(0.0123311\pi\)
\(278\) −2.36375 −0.141768
\(279\) −8.27336 + 11.2192i −0.495313 + 0.671675i
\(280\) −2.40150 + 4.08292i −0.143517 + 0.244001i
\(281\) 11.7759 + 6.79883i 0.702492 + 0.405584i 0.808275 0.588805i \(-0.200401\pi\)
−0.105783 + 0.994389i \(0.533735\pi\)
\(282\) 6.63199 5.92904i 0.394929 0.353069i
\(283\) −4.71796 + 2.72392i −0.280454 + 0.161920i −0.633629 0.773637i \(-0.718435\pi\)
0.353175 + 0.935557i \(0.385102\pi\)
\(284\) −5.16371 + 2.98127i −0.306410 + 0.176906i
\(285\) 6.97477 6.23549i 0.413150 0.369359i
\(286\) 10.1728 + 5.87327i 0.601530 + 0.347294i
\(287\) 18.4308 + 10.8407i 1.08794 + 0.639907i
\(288\) −1.78052 + 2.41449i −0.104918 + 0.142275i
\(289\) −3.57023 −0.210014
\(290\) −5.87327 + 10.1728i −0.344890 + 0.597368i
\(291\) 9.06743 + 2.98176i 0.531542 + 0.174794i
\(292\) 10.7226 6.19070i 0.627493 0.362284i
\(293\) 12.2311 + 21.1849i 0.714550 + 1.23764i 0.963133 + 0.269026i \(0.0867017\pi\)
−0.248583 + 0.968610i \(0.579965\pi\)
\(294\) 9.16835 7.93356i 0.534709 0.462694i
\(295\) 13.0606 22.6216i 0.760418 1.31708i
\(296\) 9.36404i 0.544274i
\(297\) −12.4234 + 1.17234i −0.720878 + 0.0680260i
\(298\) −17.3640 −1.00587
\(299\) −9.21130 + 15.9544i −0.532703 + 0.922670i
\(300\) 3.04277 0.635497i 0.175674 0.0366904i
\(301\) 0.148959 18.4205i 0.00858585 1.06174i
\(302\) 9.72787 5.61639i 0.559776 0.323187i
\(303\) −0.135442 + 0.411876i −0.00778097 + 0.0236617i
\(304\) −2.61281 1.50851i −0.149855 0.0865187i
\(305\) 20.2816i 1.16132i
\(306\) 10.9253 + 1.22666i 0.624561 + 0.0701236i
\(307\) 31.2223i 1.78195i −0.454053 0.890975i \(-0.650022\pi\)
0.454053 0.890975i \(-0.349978\pi\)
\(308\) 3.13229 + 5.52805i 0.178479 + 0.314990i
\(309\) 0.216844 0.193860i 0.0123358 0.0110283i
\(310\) 4.15953 + 7.20451i 0.236245 + 0.409189i
\(311\) −5.45501 9.44836i −0.309325 0.535767i 0.668889 0.743362i \(-0.266770\pi\)
−0.978215 + 0.207594i \(0.933437\pi\)
\(312\) −5.64654 6.31599i −0.319672 0.357573i
\(313\) 2.96532 + 1.71203i 0.167610 + 0.0967694i 0.581458 0.813576i \(-0.302482\pi\)
−0.413849 + 0.910346i \(0.635816\pi\)
\(314\) 13.8431 0.781210
\(315\) 14.1084 + 1.69968i 0.794921 + 0.0957662i
\(316\) −3.03663 −0.170824
\(317\) 16.4953 + 9.52357i 0.926468 + 0.534897i 0.885693 0.464272i \(-0.153684\pi\)
0.0407755 + 0.999168i \(0.487017\pi\)
\(318\) 0 0
\(319\) 7.87817 + 13.6454i 0.441093 + 0.763995i
\(320\) 0.895175 + 1.55049i 0.0500418 + 0.0866749i
\(321\) −2.82960 13.5481i −0.157933 0.756183i
\(322\) −8.66988 + 4.91251i −0.483153 + 0.273763i
\(323\) 11.0563i 0.615191i
\(324\) 8.77592 + 1.99582i 0.487551 + 0.110879i
\(325\) 8.77821i 0.486927i
\(326\) −3.75489 2.16789i −0.207964 0.120068i
\(327\) −32.1348 + 6.71150i −1.77706 + 0.371147i
\(328\) 6.99911 4.04094i 0.386461 0.223123i
\(329\) −0.109882 + 13.5882i −0.00605801 + 0.749144i
\(330\) −2.32634 + 7.07432i −0.128061 + 0.389429i
\(331\) −0.0366251 + 0.0634366i −0.00201310 + 0.00348679i −0.867030 0.498256i \(-0.833974\pi\)
0.865017 + 0.501742i \(0.167307\pi\)
\(332\) −14.0054 −0.768646
\(333\) 25.7438 11.2439i 1.41075 0.616161i
\(334\) 12.4151i 0.679325i
\(335\) −0.510456 + 0.884136i −0.0278892 + 0.0483055i
\(336\) −0.900574 4.49321i −0.0491303 0.245125i
\(337\) 1.11639 + 1.93364i 0.0608136 + 0.105332i 0.894829 0.446408i \(-0.147297\pi\)
−0.834016 + 0.551741i \(0.813964\pi\)
\(338\) 9.46139 5.46254i 0.514632 0.297123i
\(339\) −1.49726 + 1.33856i −0.0813198 + 0.0727004i
\(340\) 3.28052 5.68202i 0.177911 0.308151i
\(341\) 11.1589 0.604286
\(342\) −1.00987 + 8.99452i −0.0546077 + 0.486368i
\(343\) −0.449242 + 18.5148i −0.0242568 + 0.999706i
\(344\) −6.02973 3.48127i −0.325101 0.187697i
\(345\) −11.0950 3.64850i −0.597333 0.196429i
\(346\) 15.0846 8.70908i 0.810952 0.468203i
\(347\) 27.5751 15.9205i 1.48031 0.854656i 0.480556 0.876964i \(-0.340435\pi\)
0.999751 + 0.0223084i \(0.00710156\pi\)
\(348\) −2.32330 11.1240i −0.124542 0.596310i
\(349\) −12.7613 7.36772i −0.683095 0.394385i 0.117925 0.993022i \(-0.462376\pi\)
−0.801020 + 0.598637i \(0.795709\pi\)
\(350\) −2.40727 + 4.09272i −0.128674 + 0.218765i
\(351\) −10.5839 + 23.1075i −0.564929 + 1.23339i
\(352\) 2.40150 0.128001
\(353\) −1.07979 + 1.87025i −0.0574713 + 0.0995431i −0.893330 0.449402i \(-0.851637\pi\)
0.835858 + 0.548945i \(0.184970\pi\)
\(354\) 5.16642 + 24.7369i 0.274592 + 1.31475i
\(355\) 9.24484 5.33751i 0.490665 0.283286i
\(356\) −1.87432 3.24641i −0.0993385 0.172059i
\(357\) −12.6099 + 11.0912i −0.667388 + 0.587009i
\(358\) −6.56103 + 11.3640i −0.346761 + 0.600608i
\(359\) 32.6448i 1.72293i −0.507820 0.861463i \(-0.669549\pi\)
0.507820 0.861463i \(-0.330451\pi\)
\(360\) 3.18775 4.32278i 0.168009 0.227831i
\(361\) 9.89765 0.520929
\(362\) −6.67887 + 11.5681i −0.351034 + 0.608008i
\(363\) −6.04071 6.75690i −0.317055 0.354645i
\(364\) 12.9408 + 0.104647i 0.678283 + 0.00548498i
\(365\) −19.1972 + 11.0835i −1.00483 + 0.580138i
\(366\) 13.0774 + 14.6278i 0.683564 + 0.764608i
\(367\) 25.7212 + 14.8501i 1.34264 + 0.775171i 0.987194 0.159527i \(-0.0509969\pi\)
0.355442 + 0.934698i \(0.384330\pi\)
\(368\) 3.76638i 0.196336i
\(369\) −19.5136 14.3899i −1.01584 0.749109i
\(370\) 16.7649i 0.871566i
\(371\) 0 0
\(372\) −7.64539 2.51413i −0.396395 0.130352i
\(373\) 1.00836 + 1.74653i 0.0522109 + 0.0904320i 0.890950 0.454102i \(-0.150040\pi\)
−0.838739 + 0.544534i \(0.816707\pi\)
\(374\) −4.40035 7.62164i −0.227537 0.394105i
\(375\) −20.6250 + 4.30763i −1.06507 + 0.222445i
\(376\) 4.44794 + 2.56802i 0.229385 + 0.132436i
\(377\) 32.0921 1.65283
\(378\) −11.2715 + 7.87111i −0.579741 + 0.404846i
\(379\) −18.8709 −0.969332 −0.484666 0.874699i \(-0.661059\pi\)
−0.484666 + 0.874699i \(0.661059\pi\)
\(380\) 4.67784 + 2.70075i 0.239968 + 0.138546i
\(381\) 2.37620 0.496282i 0.121737 0.0254253i
\(382\) −4.62666 8.01361i −0.236721 0.410012i
\(383\) −0.418256 0.724440i −0.0213719 0.0370172i 0.855142 0.518394i \(-0.173470\pi\)
−0.876514 + 0.481377i \(0.840137\pi\)
\(384\) −1.64537 0.541068i −0.0839650 0.0276113i
\(385\) −5.60790 9.89714i −0.285805 0.504405i
\(386\) 24.5602i 1.25008i
\(387\) −2.33055 + 20.7572i −0.118468 + 1.05515i
\(388\) 5.51087i 0.279772i
\(389\) 21.4964 + 12.4109i 1.08991 + 0.629260i 0.933552 0.358441i \(-0.116692\pi\)
0.156357 + 0.987701i \(0.450025\pi\)
\(390\) 10.1093 + 11.3078i 0.511903 + 0.572595i
\(391\) 11.9533 6.90127i 0.604507 0.349012i
\(392\) 6.00478 + 3.59758i 0.303287 + 0.181705i
\(393\) −12.1117 13.5477i −0.610954 0.683389i
\(394\) 6.24305 10.8133i 0.314520 0.544765i
\(395\) 5.43662 0.273546
\(396\) −2.88361 6.60226i −0.144907 0.331776i
\(397\) 3.03390i 0.152267i −0.997098 0.0761336i \(-0.975742\pi\)
0.997098 0.0761336i \(-0.0242575\pi\)
\(398\) −0.0895727 + 0.155144i −0.00448987 + 0.00777669i
\(399\) −9.13106 10.3814i −0.457125 0.519719i
\(400\) 0.897324 + 1.55421i 0.0448662 + 0.0777105i
\(401\) 11.3251 6.53854i 0.565548 0.326519i −0.189822 0.981819i \(-0.560791\pi\)
0.755369 + 0.655300i \(0.227458\pi\)
\(402\) −0.201923 0.966808i −0.0100710 0.0482200i
\(403\) 11.3640 19.6831i 0.566083 0.980485i
\(404\) −0.250324 −0.0124541
\(405\) −15.7120 3.57322i −0.780733 0.177555i
\(406\) 14.9625 + 8.80071i 0.742578 + 0.436772i
\(407\) −19.4750 11.2439i −0.965339 0.557339i
\(408\) 1.29768 + 6.21332i 0.0642448 + 0.307605i
\(409\) 4.82124 2.78354i 0.238395 0.137637i −0.376044 0.926602i \(-0.622716\pi\)
0.614439 + 0.788965i \(0.289382\pi\)
\(410\) −12.5309 + 7.23469i −0.618855 + 0.357296i
\(411\) −7.76707 2.55414i −0.383121 0.125987i
\(412\) 0.145433 + 0.0839657i 0.00716496 + 0.00413669i
\(413\) −33.2728 19.5705i −1.63725 0.963000i
\(414\) 10.3546 4.52249i 0.508901 0.222268i
\(415\) 25.0746 1.23086
\(416\) 2.44566 4.23601i 0.119908 0.207688i
\(417\) −3.05223 + 2.72871i −0.149468 + 0.133625i
\(418\) 6.27467 3.62268i 0.306904 0.177191i
\(419\) 8.19938 + 14.2017i 0.400566 + 0.693800i 0.993794 0.111234i \(-0.0354802\pi\)
−0.593228 + 0.805034i \(0.702147\pi\)
\(420\) 1.61234 + 8.04442i 0.0786742 + 0.392528i
\(421\) −7.72892 + 13.3869i −0.376684 + 0.652437i −0.990578 0.136952i \(-0.956269\pi\)
0.613893 + 0.789389i \(0.289603\pi\)
\(422\) 15.1221i 0.736131i
\(423\) 1.71917 15.3119i 0.0835889 0.744491i
\(424\) 0 0
\(425\) 3.28839 5.69566i 0.159510 0.276280i
\(426\) −3.22614 + 9.81058i −0.156307 + 0.475324i
\(427\) −29.9708 0.242361i −1.45039 0.0117287i
\(428\) 6.92024 3.99540i 0.334502 0.193125i
\(429\) 19.9159 4.15953i 0.961547 0.200824i
\(430\) 10.7953 + 6.23269i 0.520597 + 0.300567i
\(431\) 25.0266i 1.20549i 0.797935 + 0.602744i \(0.205926\pi\)
−0.797935 + 0.602744i \(0.794074\pi\)
\(432\) 0.488168 + 5.17317i 0.0234870 + 0.248894i
\(433\) 2.25168i 0.108209i −0.998535 0.0541044i \(-0.982770\pi\)
0.998535 0.0541044i \(-0.0172304\pi\)
\(434\) 10.6961 6.06059i 0.513428 0.290918i
\(435\) 4.15953 + 19.9159i 0.199434 + 0.954893i
\(436\) −9.47667 16.4141i −0.453850 0.786091i
\(437\) 5.68161 + 9.84084i 0.271788 + 0.470751i
\(438\) 6.69919 20.3720i 0.320099 0.973412i
\(439\) 16.2293 + 9.37000i 0.774583 + 0.447206i 0.834507 0.550997i \(-0.185752\pi\)
−0.0599239 + 0.998203i \(0.519086\pi\)
\(440\) −4.29953 −0.204972
\(441\) 2.68027 20.8283i 0.127632 0.991822i
\(442\) −17.9251 −0.852609
\(443\) −1.04314 0.602256i −0.0495610 0.0286141i 0.475015 0.879978i \(-0.342443\pi\)
−0.524576 + 0.851364i \(0.675776\pi\)
\(444\) 10.8098 + 12.0914i 0.513012 + 0.573835i
\(445\) 3.35568 + 5.81221i 0.159074 + 0.275525i
\(446\) −4.19762 7.27049i −0.198763 0.344268i
\(447\) −22.4216 + 20.0450i −1.06050 + 0.948097i
\(448\) 2.30191 1.30430i 0.108755 0.0616226i
\(449\) 26.8022i 1.26487i −0.774612 0.632436i \(-0.782055\pi\)
0.774612 0.632436i \(-0.217945\pi\)
\(450\) 3.19540 4.33316i 0.150633 0.204267i
\(451\) 19.4087i 0.913918i
\(452\) −1.00418 0.579764i −0.0472327 0.0272698i
\(453\) 6.07770 18.4821i 0.285555 0.868364i
\(454\) 2.10030 1.21261i 0.0985719 0.0569105i
\(455\) −23.1686 0.187354i −1.08616 0.00878331i
\(456\) −5.11524 + 1.06834i −0.239543 + 0.0500298i
\(457\) −6.92442 + 11.9934i −0.323911 + 0.561030i −0.981291 0.192529i \(-0.938331\pi\)
0.657381 + 0.753559i \(0.271664\pi\)
\(458\) 2.01975 0.0943766
\(459\) 15.5236 11.0283i 0.724578 0.514755i
\(460\) 6.74314i 0.314401i
\(461\) 2.40241 4.16110i 0.111892 0.193802i −0.804641 0.593761i \(-0.797642\pi\)
0.916533 + 0.399959i \(0.130976\pi\)
\(462\) 10.4262 + 3.52225i 0.485070 + 0.163870i
\(463\) 10.5194 + 18.2201i 0.488877 + 0.846760i 0.999918 0.0127960i \(-0.00407321\pi\)
−0.511041 + 0.859556i \(0.670740\pi\)
\(464\) 5.68202 3.28052i 0.263781 0.152294i
\(465\) 13.6879 + 4.50118i 0.634763 + 0.208737i
\(466\) −6.36446 + 11.0236i −0.294828 + 0.510657i
\(467\) 5.82302 0.269457 0.134729 0.990883i \(-0.456984\pi\)
0.134729 + 0.990883i \(0.456984\pi\)
\(468\) −14.5824 1.63726i −0.674070 0.0756823i
\(469\) 1.30042 + 0.764885i 0.0600478 + 0.0353191i
\(470\) −7.96337 4.59766i −0.367323 0.212074i
\(471\) 17.8751 15.9804i 0.823640 0.736339i
\(472\) −12.6353 + 7.29501i −0.581588 + 0.335780i
\(473\) 14.4804 8.36028i 0.665811 0.384406i
\(474\) −3.92109 + 3.50548i −0.180101 + 0.161012i
\(475\) 4.68907 + 2.70724i 0.215149 + 0.124217i
\(476\) −8.35733 4.91564i −0.383057 0.225308i
\(477\) 0 0
\(478\) 17.4495 0.798121
\(479\) 13.4781 23.3447i 0.615828 1.06665i −0.374411 0.927263i \(-0.622155\pi\)
0.990239 0.139382i \(-0.0445117\pi\)
\(480\) 2.94579 + 0.968701i 0.134456 + 0.0442150i
\(481\) −39.6662 + 22.9013i −1.80862 + 1.04421i
\(482\) 5.71659 + 9.90142i 0.260383 + 0.450997i
\(483\) −5.52410 + 16.3518i −0.251355 + 0.744035i
\(484\) 2.61639 4.53172i 0.118927 0.205987i
\(485\) 9.86639i 0.448010i
\(486\) 13.6360 7.55378i 0.618541 0.342646i
\(487\) −13.6268 −0.617487 −0.308744 0.951145i \(-0.599909\pi\)
−0.308744 + 0.951145i \(0.599909\pi\)
\(488\) −5.66414 + 9.81058i −0.256404 + 0.444104i
\(489\) −7.35116 + 1.53533i −0.332431 + 0.0694299i
\(490\) −10.7507 6.44093i −0.485665 0.290971i
\(491\) −33.7430 + 19.4815i −1.52280 + 0.879188i −0.523162 + 0.852234i \(0.675248\pi\)
−0.999637 + 0.0269544i \(0.991419\pi\)
\(492\) 4.37285 13.2977i 0.197143 0.599506i
\(493\) −20.8227 12.0220i −0.937807 0.541443i
\(494\) 14.7572i 0.663957i
\(495\) 5.16267 + 11.8203i 0.232045 + 0.531285i
\(496\) 4.64661i 0.208639i
\(497\) −7.77696 13.7252i −0.348844 0.615660i
\(498\) −18.0847 + 16.1678i −0.810393 + 0.724497i
\(499\) −13.0048 22.5250i −0.582176 1.00836i −0.995221 0.0976483i \(-0.968868\pi\)
0.413045 0.910711i \(-0.364465\pi\)
\(500\) −6.08240 10.5350i −0.272013 0.471141i
\(501\) −14.3320 16.0312i −0.640307 0.716221i
\(502\) −23.6910 13.6780i −1.05738 0.610478i
\(503\) 10.5271 0.469378 0.234689 0.972070i \(-0.424593\pi\)
0.234689 + 0.972070i \(0.424593\pi\)
\(504\) −6.34984 4.76230i −0.282844 0.212130i
\(505\) 0.448168 0.0199432
\(506\) −7.83319 4.52249i −0.348228 0.201049i
\(507\) 5.91121 17.9758i 0.262526 0.798333i
\(508\) 0.700752 + 1.21374i 0.0310908 + 0.0538509i
\(509\) 0.469435 + 0.813086i 0.0208074 + 0.0360394i 0.876242 0.481872i \(-0.160043\pi\)
−0.855434 + 0.517911i \(0.826710\pi\)
\(510\) −2.32330 11.1240i −0.102878 0.492580i
\(511\) 16.1491 + 28.5009i 0.714395 + 1.26081i
\(512\) 1.00000i 0.0441942i
\(513\) 9.07925 + 12.7801i 0.400859 + 0.564255i
\(514\) 3.49673i 0.154234i
\(515\) −0.260376 0.150328i −0.0114735 0.00662424i
\(516\) −11.8047 + 2.46548i −0.519675 + 0.108537i
\(517\) −10.6818 + 6.16711i −0.469783 + 0.271229i
\(518\) −24.7741 0.200338i −1.08851 0.00880233i
\(519\) 9.42442 28.6593i 0.413686 1.25801i
\(520\) −4.37859 + 7.58394i −0.192014 + 0.332578i
\(521\) −39.5054 −1.73076 −0.865382 0.501112i \(-0.832924\pi\)
−0.865382 + 0.501112i \(0.832924\pi\)
\(522\) −15.8415 11.6820i −0.693366 0.511308i
\(523\) 24.3292i 1.06384i −0.846794 0.531922i \(-0.821470\pi\)
0.846794 0.531922i \(-0.178530\pi\)
\(524\) 5.24589 9.08614i 0.229168 0.396930i
\(525\) 1.61621 + 8.06374i 0.0705373 + 0.351930i
\(526\) −4.82174 8.35150i −0.210238 0.364143i
\(527\) −14.7469 + 8.51413i −0.642385 + 0.370881i
\(528\) 3.10098 2.77229i 0.134953 0.120649i
\(529\) −4.40718 + 7.63346i −0.191616 + 0.331889i
\(530\) 0 0
\(531\) 35.2274 + 25.9777i 1.52874 + 1.12734i
\(532\) 4.04690 6.88034i 0.175455 0.298301i
\(533\) 34.2349 + 19.7655i 1.48288 + 0.856141i
\(534\) −6.16789 2.02826i −0.266911 0.0877716i
\(535\) −12.3896 + 7.15316i −0.535651 + 0.309258i
\(536\) 0.493834 0.285115i 0.0213304 0.0123151i
\(537\) 4.64661 + 22.2480i 0.200516 + 0.960073i
\(538\) −5.98517 3.45554i −0.258039 0.148979i
\(539\) −14.6924 + 8.16873i −0.632845 + 0.351852i
\(540\) −0.873992 9.26178i −0.0376106 0.398564i
\(541\) 42.7281 1.83702 0.918512 0.395394i \(-0.129392\pi\)
0.918512 + 0.395394i \(0.129392\pi\)
\(542\) −10.3156 + 17.8672i −0.443093 + 0.767460i
\(543\) 4.73007 + 22.6476i 0.202987 + 0.971902i
\(544\) −3.17369 + 1.83233i −0.136071 + 0.0785606i
\(545\) 16.9665 + 29.3869i 0.726767 + 1.25880i
\(546\) 16.8308 14.8037i 0.720292 0.633541i
\(547\) −12.2477 + 21.2136i −0.523672 + 0.907026i 0.475949 + 0.879473i \(0.342105\pi\)
−0.999620 + 0.0275530i \(0.991229\pi\)
\(548\) 4.72056i 0.201652i
\(549\) 33.7727 + 3.79188i 1.44138 + 0.161833i
\(550\) −4.30986 −0.183773
\(551\) 9.89735 17.1427i 0.421641 0.730304i
\(552\) 4.34791 + 4.86340i 0.185059 + 0.207000i
\(553\) 0.0649667 8.03389i 0.00276266 0.341636i
\(554\) 13.4358 7.75718i 0.570834 0.329571i
\(555\) −19.3534 21.6479i −0.821506 0.918903i
\(556\) −2.04707 1.18187i −0.0868150 0.0501227i
\(557\) 2.54431i 0.107806i 0.998546 + 0.0539030i \(0.0171662\pi\)
−0.998546 + 0.0539030i \(0.982834\pi\)
\(558\) −12.7745 + 5.57943i −0.540789 + 0.236196i
\(559\) 34.0560i 1.44042i
\(560\) −4.12122 + 2.33516i −0.174153 + 0.0986786i
\(561\) −14.4804 4.76178i −0.611364 0.201043i
\(562\) 6.79883 + 11.7759i 0.286791 + 0.496737i
\(563\) −7.90707 13.6954i −0.333243 0.577194i 0.649902 0.760018i \(-0.274810\pi\)
−0.983146 + 0.182823i \(0.941476\pi\)
\(564\) 8.70799 1.81871i 0.366673 0.0765814i
\(565\) 1.79783 + 1.03798i 0.0756354 + 0.0436681i
\(566\) −5.44783 −0.228990
\(567\) −5.46803 + 23.1754i −0.229635 + 0.973277i
\(568\) −5.96254 −0.250182
\(569\) −5.52793 3.19155i −0.231743 0.133797i 0.379633 0.925137i \(-0.376050\pi\)
−0.611376 + 0.791340i \(0.709384\pi\)
\(570\) 9.15807 1.91271i 0.383589 0.0801145i
\(571\) 3.91188 + 6.77557i 0.163707 + 0.283549i 0.936195 0.351480i \(-0.114322\pi\)
−0.772488 + 0.635029i \(0.780988\pi\)
\(572\) 5.87327 + 10.1728i 0.245574 + 0.425346i
\(573\) −15.2252 5.00668i −0.636040 0.209157i
\(574\) 10.5412 + 18.6038i 0.439982 + 0.776506i
\(575\) 6.75933i 0.281884i
\(576\) −2.74922 + 1.20075i −0.114551 + 0.0500313i
\(577\) 14.3197i 0.596138i 0.954544 + 0.298069i \(0.0963425\pi\)
−0.954544 + 0.298069i \(0.903657\pi\)
\(578\) −3.09191 1.78512i −0.128607 0.0742510i
\(579\) 28.3523 + 31.7137i 1.17828 + 1.31798i
\(580\) −10.1728 + 5.87327i −0.422403 + 0.243874i
\(581\) 0.299637 37.0536i 0.0124310 1.53724i
\(582\) 6.36175 + 7.11600i 0.263703 + 0.294968i
\(583\) 0 0
\(584\) 12.3814 0.512346
\(585\) 26.1075 + 2.93126i 1.07941 + 0.121193i
\(586\) 24.4622i 1.01053i
\(587\) −2.37575 + 4.11492i −0.0980577 + 0.169841i −0.910881 0.412670i \(-0.864596\pi\)
0.812823 + 0.582511i \(0.197930\pi\)
\(588\) 11.9068 2.28649i 0.491028 0.0942931i
\(589\) −7.00943 12.1407i −0.288819 0.500249i
\(590\) 22.6216 13.0606i 0.931318 0.537697i
\(591\) −4.42141 21.1698i −0.181873 0.870808i
\(592\) −4.68202 + 8.10950i −0.192430 + 0.333298i
\(593\) 3.58070 0.147042 0.0735208 0.997294i \(-0.476576\pi\)
0.0735208 + 0.997294i \(0.476576\pi\)
\(594\) −11.3451 5.19642i −0.465497 0.213212i
\(595\) 14.9625 + 8.80071i 0.613404 + 0.360794i
\(596\) −15.0377 8.68202i −0.615968 0.355629i
\(597\) 0.0634366 + 0.303735i 0.00259629 + 0.0124311i
\(598\) −15.9544 + 9.21130i −0.652426 + 0.376678i
\(599\) −13.0471 + 7.53277i −0.533091 + 0.307780i −0.742274 0.670096i \(-0.766253\pi\)
0.209183 + 0.977877i \(0.432920\pi\)
\(600\) 2.95286 + 0.971027i 0.120550 + 0.0396420i
\(601\) −19.8704 11.4722i −0.810530 0.467960i 0.0366096 0.999330i \(-0.488344\pi\)
−0.847140 + 0.531370i \(0.821678\pi\)
\(602\) 9.33927 15.8782i 0.380640 0.647146i
\(603\) −1.37682 1.01531i −0.0560683 0.0413464i
\(604\) 11.2328 0.457055
\(605\) −4.68425 + 8.11336i −0.190442 + 0.329855i
\(606\) −0.323235 + 0.288974i −0.0131305 + 0.0117388i
\(607\) 21.2030 12.2416i 0.860605 0.496870i −0.00360990 0.999993i \(-0.501149\pi\)
0.864215 + 0.503123i \(0.167816\pi\)
\(608\) −1.50851 2.61281i −0.0611780 0.105963i
\(609\) 29.4801 5.90869i 1.19459 0.239432i
\(610\) 10.1408 17.5644i 0.410589 0.711161i
\(611\) 25.1221i 1.01633i
\(612\) 8.84830 + 6.52499i 0.357671 + 0.263757i
\(613\) −0.880086 −0.0355463 −0.0177732 0.999842i \(-0.505658\pi\)
−0.0177732 + 0.999842i \(0.505658\pi\)
\(614\) 15.6111 27.0393i 0.630014 1.09122i
\(615\) −7.82892 + 23.8075i −0.315693 + 0.960011i
\(616\) −0.0513786 + 6.35358i −0.00207010 + 0.255993i
\(617\) −11.7607 + 6.79005i −0.473468 + 0.273357i −0.717690 0.696362i \(-0.754801\pi\)
0.244222 + 0.969719i \(0.421467\pi\)
\(618\) 0.284722 0.0594656i 0.0114532 0.00239206i
\(619\) −30.7325 17.7434i −1.23524 0.713169i −0.267126 0.963662i \(-0.586074\pi\)
−0.968118 + 0.250493i \(0.919407\pi\)
\(620\) 8.31905i 0.334101i
\(621\) 8.14977 17.7931i 0.327039 0.714012i
\(622\) 10.9100i 0.437452i
\(623\) 8.62901 4.88936i 0.345714 0.195888i
\(624\) −1.73205 8.29308i −0.0693375 0.331989i
\(625\) 6.40300 + 11.0903i 0.256120 + 0.443613i
\(626\) 1.71203 + 2.96532i 0.0684263 + 0.118518i
\(627\) 3.92024 11.9213i 0.156559 0.476091i
\(628\) 11.9885 + 6.92154i 0.478391 + 0.276199i
\(629\) 34.3161 1.36827
\(630\) 11.3684 + 8.52619i 0.452929 + 0.339692i
\(631\) 26.9822 1.07415 0.537073 0.843536i \(-0.319530\pi\)
0.537073 + 0.843536i \(0.319530\pi\)
\(632\) −2.62979 1.51831i −0.104608 0.0603952i
\(633\) 17.4569 + 19.5266i 0.693849 + 0.776112i
\(634\) 9.52357 + 16.4953i 0.378229 + 0.655112i
\(635\) −1.25459 2.17302i −0.0497869 0.0862335i
\(636\) 0 0
\(637\) −0.553721 + 34.2348i −0.0219392 + 1.35643i
\(638\) 15.7563i 0.623800i
\(639\) 7.15953 + 16.3923i 0.283227 + 0.648470i
\(640\) 1.79035i 0.0707698i
\(641\) 0.932777 + 0.538539i 0.0368425 + 0.0212710i 0.518308 0.855194i \(-0.326562\pi\)
−0.481466 + 0.876465i \(0.659895\pi\)
\(642\) 4.32357 13.1478i 0.170638 0.518903i
\(643\) 33.3126 19.2330i 1.31372 0.758477i 0.331010 0.943627i \(-0.392611\pi\)
0.982710 + 0.185150i \(0.0592773\pi\)
\(644\) −9.96459 0.0805794i −0.392660 0.00317527i
\(645\) 21.1346 4.41407i 0.832175 0.173804i
\(646\) −5.52817 + 9.57507i −0.217503 + 0.376726i
\(647\) −8.95210 −0.351943 −0.175972 0.984395i \(-0.556307\pi\)
−0.175972 + 0.984395i \(0.556307\pi\)
\(648\) 6.60226 + 6.11639i 0.259361 + 0.240274i
\(649\) 35.0380i 1.37536i
\(650\) −4.38910 + 7.60215i −0.172155 + 0.298181i
\(651\) 6.81512 20.1734i 0.267106 0.790656i
\(652\) −2.16789 3.75489i −0.0849010 0.147053i
\(653\) −9.85934 + 5.69229i −0.385826 + 0.222757i −0.680350 0.732887i \(-0.738172\pi\)
0.294524 + 0.955644i \(0.404839\pi\)
\(654\) −31.1853 10.2550i −1.21944 0.401004i
\(655\) −9.39197 + 16.2674i −0.366975 + 0.635619i
\(656\) 8.08188 0.315544
\(657\) −14.8670 34.0392i −0.580017 1.32799i
\(658\) −6.88929 + 11.7128i −0.268572 + 0.456614i
\(659\) 31.4373 + 18.1503i 1.22462 + 0.707036i 0.965900 0.258915i \(-0.0833650\pi\)
0.258723 + 0.965952i \(0.416698\pi\)
\(660\) −5.55183 + 4.96337i −0.216105 + 0.193199i
\(661\) −31.2425 + 18.0379i −1.21519 + 0.701593i −0.963886 0.266315i \(-0.914194\pi\)
−0.251308 + 0.967907i \(0.580861\pi\)
\(662\) −0.0634366 + 0.0366251i −0.00246553 + 0.00142348i
\(663\) −23.1460 + 20.6927i −0.898916 + 0.803637i
\(664\) −12.1290 7.00270i −0.470698 0.271757i
\(665\) −7.24536 + 12.3182i −0.280963 + 0.477680i
\(666\) 27.9167 + 3.13439i 1.08175 + 0.121455i
\(667\) −24.7114 −0.956828
\(668\) 6.20756 10.7518i 0.240178 0.416000i
\(669\) −13.8133 4.54240i −0.534052 0.175619i
\(670\) −0.884136 + 0.510456i −0.0341572 + 0.0197206i
\(671\) −13.6025 23.5602i −0.525117 0.909530i
\(672\) 1.46669 4.34152i 0.0565787 0.167478i
\(673\) 4.78512 8.28806i 0.184453 0.319481i −0.758939 0.651161i \(-0.774282\pi\)
0.943392 + 0.331680i \(0.107615\pi\)
\(674\) 2.23278i 0.0860034i
\(675\) −0.876091 9.28402i −0.0337207 0.357342i
\(676\) 10.9251 0.420195
\(677\) 7.81408 13.5344i 0.300320 0.520169i −0.675889 0.737004i \(-0.736240\pi\)
0.976208 + 0.216835i \(0.0695733\pi\)
\(678\) −1.96594 + 0.410596i −0.0755015 + 0.0157689i
\(679\) −14.5799 0.117902i −0.559526 0.00452465i
\(680\) 5.68202 3.28052i 0.217896 0.125802i
\(681\) 1.31221 3.99038i 0.0502839 0.152912i
\(682\) 9.66385 + 5.57943i 0.370048 + 0.213647i
\(683\) 11.1313i 0.425926i −0.977060 0.212963i \(-0.931689\pi\)
0.977060 0.212963i \(-0.0683114\pi\)
\(684\) −5.37184 + 7.28454i −0.205397 + 0.278531i
\(685\) 8.45145i 0.322913i
\(686\) −9.64646 + 15.8097i −0.368304 + 0.603616i
\(687\) 2.60803 2.33159i 0.0995025 0.0889559i
\(688\) −3.48127 6.02973i −0.132722 0.229881i
\(689\) 0 0
\(690\) −7.78428 8.70718i −0.296342 0.331477i
\(691\) 2.61903 + 1.51210i 0.0996324 + 0.0575228i 0.548988 0.835830i \(-0.315013\pi\)
−0.449356 + 0.893353i \(0.648346\pi\)
\(692\) 17.4182 0.662139
\(693\) 17.5291 7.48782i 0.665874 0.284439i
\(694\) 31.8409 1.20867
\(695\) 3.66497 + 2.11597i 0.139020 + 0.0802633i
\(696\) 3.54997 10.7953i 0.134561 0.409196i
\(697\) −14.8087 25.6494i −0.560919 0.971540i
\(698\) −7.36772 12.7613i −0.278872 0.483021i
\(699\) 4.50739 + 21.5815i 0.170485 + 0.816286i
\(700\) −4.13112 + 2.34077i −0.156142 + 0.0884727i
\(701\) 50.1486i 1.89409i −0.321103 0.947044i \(-0.604054\pi\)
0.321103 0.947044i \(-0.395946\pi\)
\(702\) −20.7197 + 14.7197i −0.782015 + 0.555560i
\(703\) 28.2514i 1.06552i
\(704\) 2.07976 + 1.20075i 0.0783840 + 0.0452550i
\(705\) −15.5904 + 3.25612i −0.587167 + 0.122633i
\(706\) −1.87025 + 1.07979i −0.0703876 + 0.0406383i
\(707\) 0.00535553 0.662274i 0.000201415 0.0249074i
\(708\) −7.89419 + 24.0060i −0.296682 + 0.902200i
\(709\) 1.80385 3.12436i 0.0677449 0.117338i −0.830163 0.557520i \(-0.811753\pi\)
0.897908 + 0.440183i \(0.145086\pi\)
\(710\) 10.6750 0.400626
\(711\) −1.01644 + 9.05299i −0.0381195 + 0.339514i
\(712\) 3.74863i 0.140486i
\(713\) −8.75046 + 15.1562i −0.327707 + 0.567605i
\(714\) −16.4661 + 3.30030i −0.616229 + 0.123511i
\(715\) −10.5152 18.2129i −0.393246 0.681123i
\(716\) −11.3640 + 6.56103i −0.424694 + 0.245197i
\(717\) 22.5319 20.1437i 0.841469 0.752279i
\(718\) 16.3224 28.2712i 0.609146 1.05507i
\(719\) −34.3161 −1.27977 −0.639887 0.768469i \(-0.721019\pi\)
−0.639887 + 0.768469i \(0.721019\pi\)
\(720\) 4.92206 2.14977i 0.183434 0.0801171i
\(721\) −0.225257 + 0.382970i −0.00838899 + 0.0142626i
\(722\) 8.57161 + 4.94882i 0.319002 + 0.184176i
\(723\) 18.8118 + 6.18613i 0.699619 + 0.230065i
\(724\) −11.5681 + 6.67887i −0.429927 + 0.248218i
\(725\) −10.1972 + 5.88737i −0.378716 + 0.218651i
\(726\) −1.85296 8.87200i −0.0687698 0.329271i
\(727\) 19.4757 + 11.2443i 0.722315 + 0.417029i 0.815604 0.578610i \(-0.196405\pi\)
−0.0932892 + 0.995639i \(0.529738\pi\)
\(728\) 11.1547 + 6.56103i 0.413422 + 0.243168i
\(729\) 8.88761 25.4953i 0.329171 0.944270i
\(730\) −22.1670 −0.820439
\(731\) −12.7577 + 22.0970i −0.471860 + 0.817285i
\(732\) 4.01142 + 19.2067i 0.148266 + 0.709901i
\(733\) 27.0065 15.5922i 0.997509 0.575912i 0.0899987 0.995942i \(-0.471314\pi\)
0.907510 + 0.420030i \(0.137980\pi\)
\(734\) 14.8501 + 25.7212i 0.548129 + 0.949387i
\(735\) −21.3173 + 4.09361i −0.786302 + 0.150995i
\(736\) −1.88319 + 3.26178i −0.0694154 + 0.120231i
\(737\) 1.36941i 0.0504429i
\(738\) −9.70433 22.2188i −0.357221 0.817886i
\(739\) 4.08628 0.150316 0.0751581 0.997172i \(-0.476054\pi\)
0.0751581 + 0.997172i \(0.476054\pi\)
\(740\) 8.38245 14.5188i 0.308145 0.533723i
\(741\) −17.0357 19.0554i −0.625821 0.700018i
\(742\) 0 0
\(743\) −1.78246 + 1.02910i −0.0653921 + 0.0377542i −0.532340 0.846531i \(-0.678687\pi\)
0.466947 + 0.884285i \(0.345354\pi\)
\(744\) −5.36404 6.00000i −0.196655 0.219971i
\(745\) 26.9227 + 15.5439i 0.986373 + 0.569483i
\(746\) 2.01672i 0.0738374i
\(747\) −4.68798 + 41.7538i −0.171524 + 1.52769i
\(748\) 8.80071i 0.321786i
\(749\) 10.4224 + 18.3941i 0.380828 + 0.672106i
\(750\) −20.0156 6.58198i −0.730866 0.240340i
\(751\) −11.9053 20.6205i −0.434429 0.752454i 0.562820 0.826580i \(-0.309717\pi\)
−0.997249 + 0.0741262i \(0.976383\pi\)
\(752\) 2.56802 + 4.44794i 0.0936461 + 0.162200i
\(753\) −46.3811 + 9.68693i −1.69022 + 0.353011i
\(754\) 27.7926 + 16.0461i 1.01215 + 0.584363i
\(755\) −20.1106 −0.731900
\(756\) −13.6969 + 1.18085i −0.498152 + 0.0429472i
\(757\) 10.0754 0.366197 0.183098 0.983095i \(-0.441387\pi\)
0.183098 + 0.983095i \(0.441387\pi\)
\(758\) −16.3427 9.43544i −0.593592 0.342711i
\(759\) −15.3355 + 3.20289i −0.556642 + 0.116258i
\(760\) 2.70075 + 4.67784i 0.0979666 + 0.169683i
\(761\) 13.9368 + 24.1392i 0.505207 + 0.875044i 0.999982 + 0.00602283i \(0.00191714\pi\)
−0.494775 + 0.869021i \(0.664750\pi\)
\(762\) 2.30599 + 0.758309i 0.0835374 + 0.0274707i
\(763\) 43.6289 24.7209i 1.57947 0.894957i
\(764\) 9.25333i 0.334774i
\(765\) −15.8415 11.6820i −0.572752 0.422364i
\(766\) 0.836511i 0.0302244i
\(767\) −61.8035 35.6823i −2.23159 1.28841i
\(768\) −1.15440 1.29126i −0.0416558 0.0465945i
\(769\) −6.21166 + 3.58631i −0.223998 + 0.129326i −0.607800 0.794090i \(-0.707948\pi\)
0.383802 + 0.923415i \(0.374615\pi\)
\(770\) 0.0919857 11.3751i 0.00331494 0.409931i
\(771\) 4.03663 + 4.51521i 0.145376 + 0.162611i
\(772\) −12.2801 + 21.2698i −0.441970 + 0.765515i
\(773\) −2.14153 −0.0770255 −0.0385128 0.999258i \(-0.512262\pi\)
−0.0385128 + 0.999258i \(0.512262\pi\)
\(774\) −12.3969 + 16.8110i −0.445598 + 0.604258i