Properties

Label 126.2.m.a.41.5
Level $126$
Weight $2$
Character 126.41
Analytic conductor $1.006$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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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 41.5
Root \(1.69547 + 0.354107i\) of defining polynomial
Character \(\chi\) \(=\) 126.41
Dual form 126.2.m.a.83.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(-1.69547 - 0.354107i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.895175 - 1.55049i) q^{5} +(-1.64537 + 0.541068i) q^{6} +(0.0213944 - 2.64566i) q^{7} -1.00000i q^{8} +(2.74922 + 1.20075i) q^{9} +O(q^{10})\) \(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} +(0.0213944 - 2.64566i) 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} +(-1.30430 - 2.30191i) 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} +(-0.973121 + 4.47806i) 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} +(1.39628 + 4.36468i) 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} +(-6.99908 - 0.113205i) 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} +(-2.64566 - 0.0213944i) 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} +(3.23561 - 7.24782i) 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} +(-4.73667 - 0.0383034i) 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} +(3.13229 + 5.52805i) 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} +(3.39155 + 3.08178i) 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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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 \(-0.702227\pi\)
0.993766 + 0.111485i \(0.0355607\pi\)
\(6\) −1.64537 + 0.541068i −0.671720 + 0.220890i
\(7\) 0.0213944 2.64566i 0.00808631 0.999967i
\(8\) 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 −0.779617 0.626256i \(-0.784586\pi\)
0.152545 + 0.988297i \(0.451253\pi\)
\(12\) −1.15440 + 1.29126i −0.333246 + 0.372756i
\(13\) 4.23601 + 2.44566i 1.17486 + 0.678305i 0.954820 0.297186i \(-0.0960482\pi\)
0.220039 + 0.975491i \(0.429382\pi\)
\(14\) −1.30430 2.30191i −0.348590 0.615211i
\(15\) −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 \(-0.646585\pi\)
−0.444406 + 0.895826i \(0.646585\pi\)
\(18\) 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
\(21\) −0.973121 + 4.47806i −0.212352 + 0.977193i
\(22\) −1.20075 + 2.07976i −0.256001 + 0.443407i
\(23\) 3.26178 + 1.88319i 0.680129 + 0.392673i 0.799904 0.600128i \(-0.204884\pi\)
−0.119775 + 0.992801i \(0.538217\pi\)
\(24\) −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 −0.924080 0.382200i \(-0.875167\pi\)
−0.131045 + 0.991376i \(0.541833\pi\)
\(30\) −0.633975 + 3.03548i −0.115747 + 0.554200i
\(31\) 4.02408 + 2.32330i 0.722746 + 0.417278i 0.815763 0.578387i \(-0.196318\pi\)
−0.0930163 + 0.995665i \(0.529651\pi\)
\(32\) −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 −0.356241 0.934394i \(-0.615942\pi\)
0.987330 0.158683i \(-0.0507248\pi\)
\(42\) 1.39628 + 4.36468i 0.215451 + 0.673484i
\(43\) −3.48127 6.02973i −0.530888 0.919526i −0.999350 0.0360419i \(-0.988525\pi\)
0.468462 0.883484i \(-0.344808\pi\)
\(44\) 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 \(-0.288881\pi\)
−0.990265 + 0.139197i \(0.955548\pi\)
\(48\) 0.541068 + 1.64537i 0.0780965 + 0.237489i
\(49\) −6.99908 0.113205i −0.999869 0.0161721i
\(50\) 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
\(56\) −2.64566 0.0213944i −0.353542 0.00285894i
\(57\) 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 −0.203735 + 0.979026i \(0.565308\pi\)
−0.745994 + 0.665953i \(0.768025\pi\)
\(60\) 0.968701 + 2.94579i 0.125059 + 0.380300i
\(61\) −9.81058 + 5.66414i −1.25612 + 0.725219i −0.972317 0.233665i \(-0.924928\pi\)
−0.283799 + 0.958884i \(0.591595\pi\)
\(62\) 4.64661 0.590120
\(63\) 3.23561 7.24782i 0.407648 0.913139i
\(64\) −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 −0.882916 0.469531i \(-0.844423\pi\)
0.848084 + 0.529862i \(0.177756\pi\)
\(68\) −1.83233 + 3.17369i −0.222203 + 0.384867i
\(69\) −4.86340 4.34791i −0.585484 0.523427i
\(70\) −4.73667 0.0383034i −0.566140 0.00457813i
\(71\) 5.96254i 0.707623i −0.935317 0.353811i \(-0.884885\pi\)
0.935317 0.353811i \(-0.115115\pi\)
\(72\) 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
\(77\) 3.13229 + 5.52805i 0.356958 + 0.629979i
\(78\) −8.29308 1.73205i −0.939007 0.196116i
\(79\) −1.51831 2.62979i −0.170824 0.295875i 0.767884 0.640588i \(-0.221309\pi\)
−0.938708 + 0.344713i \(0.887976\pi\)
\(80\) −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 0.938297 + 0.345830i \(0.112403\pi\)
−0.169651 + 0.985504i \(0.554264\pi\)
\(84\) 3.39155 + 3.08178i 0.370049 + 0.336250i
\(85\) −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 \(-0.436336\pi\)
0.198677 + 0.980065i \(0.436336\pi\)
\(90\) 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 \(-0.756926\pi\)
0.237743 + 0.971328i \(0.423592\pi\)
\(98\) −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 \(-0.162702\pi\)
−0.859731 + 0.510747i \(0.829369\pi\)
\(102\) 6.02973 1.98283i 0.597033 0.196330i
\(103\) −0.145433 0.0839657i −0.0143299 0.00827339i 0.492818 0.870132i \(-0.335967\pi\)
−0.507148 + 0.861859i \(0.669300\pi\)
\(104\) 2.44566 4.23601i 0.239817 0.415375i
\(105\) 6.07207 + 5.51746i 0.592573 + 0.538449i
\(106\) 0 0
\(107\) 7.99080i 0.772500i 0.922394 + 0.386250i \(0.126230\pi\)
−0.922394 + 0.386250i \(0.873770\pi\)
\(108\) −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
\(112\) −2.30191 + 1.30430i −0.217510 + 0.123245i
\(113\) −1.00418 0.579764i −0.0944653 0.0545396i 0.452023 0.892006i \(-0.350702\pi\)
−0.546488 + 0.837467i \(0.684036\pi\)
\(114\) −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
\(119\) −0.0784032 + 9.69548i −0.00718721 + 0.888783i
\(120\) 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
\(126\) −0.821792 7.89460i −0.0732111 0.703307i
\(127\) 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 \(-0.681779\pi\)
0.998873 + 0.0474597i \(0.0151126\pi\)
\(132\) 0.850388 4.07167i 0.0740168 0.354393i
\(133\) 7.98200 + 0.0645470i 0.692127 + 0.00559694i
\(134\) 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 −0.664365 0.747409i \(-0.731298\pi\)
0.315093 + 0.949061i \(0.397964\pi\)
\(138\) −6.38578 1.33370i −0.543594 0.113532i
\(139\) 2.04707 + 1.18187i 0.173630 + 0.100245i 0.584296 0.811540i \(-0.301371\pi\)
−0.410666 + 0.911786i \(0.634704\pi\)
\(140\) −4.12122 + 2.33516i −0.348307 + 0.197357i
\(141\) 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
\(147\) 11.8266 + 2.67036i 0.975444 + 0.220247i
\(148\) 4.68202 8.10950i 0.384860 0.666597i
\(149\) −15.0377 8.68202i −1.23194 0.711259i −0.264503 0.964385i \(-0.585208\pi\)
−0.967433 + 0.253126i \(0.918541\pi\)
\(150\) −2.31737 2.07174i −0.189212 0.169157i
\(151\) 5.61639 + 9.72787i 0.457055 + 0.791643i 0.998804 0.0488977i \(-0.0155708\pi\)
−0.541749 + 0.840541i \(0.682238\pi\)
\(152\) 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 \(-0.519621\pi\)
−0.895181 + 0.445702i \(0.852954\pi\)
\(158\) −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 \(-0.673841\pi\)
0.999746 + 0.0225370i \(0.00717435\pi\)
\(168\) 4.47806 + 0.973121i 0.345490 + 0.0750779i
\(169\) 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 −0.980052 0.198739i \(-0.936315\pi\)
0.317913 0.948120i \(-0.397018\pi\)
\(174\) 7.57405 8.47203i 0.574187 0.642263i
\(175\) 4.13112 2.34077i 0.312283 0.176945i
\(176\) 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 \(-0.836853\pi\)
0.871501 0.490395i \(-0.163147\pi\)
\(180\) −0.599278 5.33751i −0.0446675 0.397835i
\(181\) 13.3577i 0.992873i 0.868073 + 0.496437i \(0.165359\pi\)
−0.868073 + 0.496437i \(0.834641\pi\)
\(182\) 0.104647 12.9408i 0.00775694 0.959237i
\(183\) 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
\(189\) −8.05236 + 11.1427i −0.585723 + 0.810511i
\(190\) 5.40150 0.391866
\(191\) −8.01361 + 4.62666i −0.579845 + 0.334774i −0.761072 0.648668i \(-0.775326\pi\)
0.181227 + 0.983441i \(0.441993\pi\)
\(192\) 1.69547 + 0.354107i 0.122360 + 0.0255554i
\(193\) 12.2801 21.2698i 0.883941 1.53103i 0.0370176 0.999315i \(-0.488214\pi\)
0.846923 0.531716i \(-0.178452\pi\)
\(194\) −2.75544 + 4.77256i −0.197829 + 0.342650i
\(195\) −14.4088 + 4.73823i −1.03184 + 0.339312i
\(196\) −3.59758 + 6.00478i −0.256970 + 0.428913i
\(197\) 12.4861i 0.889598i 0.895630 + 0.444799i \(0.146725\pi\)
−0.895630 + 0.444799i \(0.853275\pi\)
\(198\) −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
\(203\) 8.55758 + 15.1029i 0.600625 + 1.06002i
\(204\) 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
\(210\) 8.01730 + 1.74223i 0.553246 + 0.120225i
\(211\) 7.56103 13.0961i 0.520523 0.901572i −0.479192 0.877710i \(-0.659070\pi\)
0.999715 0.0238622i \(-0.00759629\pi\)
\(212\) 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 \(-0.575970\pi\)
0.723274 + 0.690561i \(0.242636\pi\)
\(224\) −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 \(-0.192313\pi\)
−0.903458 + 0.428677i \(0.858980\pi\)
\(228\) −3.89576 3.48283i −0.258003 0.230656i
\(229\) −1.74915 1.00987i −0.115587 0.0667344i 0.441092 0.897462i \(-0.354591\pi\)
−0.556679 + 0.830728i \(0.687925\pi\)
\(230\) 3.37157 5.83973i 0.222315 0.385061i
\(231\) −3.35318 10.4818i −0.220623 0.689651i
\(232\) 3.28052 + 5.68202i 0.215376 + 0.373043i
\(233\) 12.7289i 0.833899i −0.908930 0.416950i \(-0.863099\pi\)
0.908930 0.416950i \(-0.136901\pi\)
\(234\) 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
\(238\) 4.77984 + 8.43573i 0.309831 + 0.546807i
\(239\) 15.1117 + 8.72474i 0.977494 + 0.564356i 0.901513 0.432753i \(-0.142458\pi\)
0.0759814 + 0.997109i \(0.475791\pi\)
\(240\) 3.03548 + 0.633975i 0.195939 + 0.0409229i
\(241\) −9.90142 + 5.71659i −0.637807 + 0.368238i −0.783769 0.621052i \(-0.786705\pi\)
0.145963 + 0.989290i \(0.453372\pi\)
\(242\) 5.23278i 0.336376i
\(243\) −8.03223 13.3598i −0.515268 0.857029i
\(244\) 11.3283i 0.725219i
\(245\) −6.44093 + 10.7507i −0.411496 + 0.686835i
\(246\) −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 \(-0.168364\pi\)
0.863347 + 0.504611i \(0.168364\pi\)
\(252\) −4.65899 6.42603i −0.293489 0.404802i
\(253\) −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 \(-0.868117\pi\)
0.806330 + 0.591466i \(0.201451\pi\)
\(258\) 8.99047 + 8.03754i 0.559722 + 0.500396i
\(259\) 0.200338 24.7741i 0.0124484 1.53939i
\(260\) 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 −0.734877 0.678201i \(-0.762760\pi\)
0.219901 + 0.975522i \(0.429427\pi\)
\(264\) −1.29938 3.95136i −0.0799712 0.243190i
\(265\) 0 0
\(266\) 6.94489 3.93510i 0.425818 0.241276i
\(267\) −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 \(-0.432430\pi\)
0.210688 + 0.977553i \(0.432430\pi\)
\(270\) −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
\(273\) −15.0740 + 16.5892i −0.912319 + 1.00402i
\(274\) −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 0.999250 0.0387296i \(-0.0123311\pi\)
−0.533166 + 0.846011i \(0.678998\pi\)
\(278\) 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 −0.105783 0.994389i \(-0.533735\pi\)
0.808275 + 0.588805i \(0.200401\pi\)
\(282\) 6.63199 + 5.92904i 0.394929 + 0.353069i
\(283\) 4.71796 + 2.72392i 0.280454 + 0.161920i 0.633629 0.773637i \(-0.281565\pi\)
−0.353175 + 0.935557i \(0.614898\pi\)
\(284\) −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 0.248583 + 0.968610i \(0.420035\pi\)
−0.963133 + 0.269026i \(0.913298\pi\)
\(294\) 11.5773 3.60072i 0.675204 0.209998i
\(295\) 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
\(301\) −16.0271 + 9.08127i −0.923788 + 0.523435i
\(302\) 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 \(-0.349978\pi\)
\(308\) 6.35358 + 0.0513786i 0.362029 + 0.00292757i
\(309\) 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 \(-0.733230\pi\)
0.978215 + 0.207594i \(0.0665634\pi\)
\(312\) −5.64654 + 6.31599i −0.319672 + 0.357573i
\(313\) −2.96532 + 1.71203i −0.167610 + 0.0967694i −0.581458 0.813576i \(-0.697518\pi\)
0.413849 + 0.910346i \(0.364184\pi\)
\(314\) −13.8431 −0.781210
\(315\) −8.34122 11.5048i −0.469975 0.648224i
\(316\) −3.03663 −0.170824
\(317\) 16.4953 9.52357i 0.926468 0.534897i 0.0407755 0.999168i \(-0.487017\pi\)
0.885693 + 0.464272i \(0.153684\pi\)
\(318\) 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
\(322\) 0.0805794 9.96459i 0.00449051 0.555305i
\(323\) 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
\(329\) −11.8227 + 6.69896i −0.651807 + 0.369326i
\(330\) −2.32634 7.07432i −0.128061 0.389429i
\(331\) −0.0366251 0.0634366i −0.00201310 0.00348679i 0.865017 0.501742i \(-0.167307\pi\)
−0.867030 + 0.498256i \(0.833974\pi\)
\(332\) 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
\(336\) 4.36468 1.39628i 0.238113 0.0761735i
\(337\) 1.11639 1.93364i 0.0608136 0.105332i −0.834016 0.551741i \(-0.813964\pi\)
0.894829 + 0.446408i \(0.147297\pi\)
\(338\) 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 0.999751 0.0223084i \(-0.00710156\pi\)
0.480556 + 0.876964i \(0.340435\pi\)
\(348\) 2.32330 11.1240i 0.124542 0.596310i
\(349\) 12.7613 7.36772i 0.683095 0.394385i −0.117925 0.993022i \(-0.537624\pi\)
0.801020 + 0.598637i \(0.204291\pi\)
\(350\) 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 \(-0.148363\pi\)
−0.835858 + 0.548945i \(0.815030\pi\)
\(354\) 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
\(357\) 3.56616 16.4106i 0.188741 0.868541i
\(358\) −6.56103 11.3640i −0.346761 0.600608i
\(359\) 32.6448i 1.72293i 0.507820 + 0.861463i \(0.330451\pi\)
−0.507820 + 0.861463i \(0.669549\pi\)
\(360\) −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
\(364\) −6.37978 11.2594i −0.334391 0.590153i
\(365\) −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 \(-0.949003\pi\)
−0.355442 + 0.934698i \(0.615670\pi\)
\(368\) 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 −0.838739 0.544534i \(-0.816707\pi\)
0.890950 + 0.454102i \(0.150040\pi\)
\(374\) 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
\(378\) −1.40221 + 13.6760i −0.0721217 + 0.703419i
\(379\) −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 \(-0.826530\pi\)
0.876514 + 0.481377i \(0.159863\pi\)
\(384\) 1.64537 0.541068i 0.0839650 0.0276113i
\(385\) 11.3751 + 0.0919857i 0.579730 + 0.00468803i
\(386\) 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 0.156357 0.987701i \(-0.450025\pi\)
0.933552 + 0.358441i \(0.116692\pi\)
\(390\) −10.1093 + 11.3078i −0.511903 + 0.572595i
\(391\) −11.9533 6.90127i −0.604507 0.349012i
\(392\) −0.113205 + 6.99908i −0.00571770 + 0.353507i
\(393\) −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
\(399\) −13.5104 2.93592i −0.676364 0.146980i
\(400\) 0.897324 1.55421i 0.0448662 0.0777105i
\(401\) 11.3251 + 6.53854i 0.565548 + 0.326519i 0.755369 0.655300i \(-0.227458\pi\)
−0.189822 + 0.981819i \(0.560791\pi\)
\(402\) 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 \(-0.377284\pi\)
−0.614439 + 0.788965i \(0.710618\pi\)
\(410\) −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 \(-0.964520\pi\)
0.593228 + 0.805034i \(0.297853\pi\)
\(420\) 7.81430 2.49984i 0.381299 0.121979i
\(421\) −7.72892 13.3869i −0.376684 0.652437i 0.613893 0.789389i \(-0.289603\pi\)
−0.990578 + 0.136952i \(0.956269\pi\)
\(422\) 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
\(427\) 14.7755 + 26.0767i 0.715038 + 1.26194i
\(428\) 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 \(-0.794074\pi\)
0.797935 0.602744i \(-0.205926\pi\)
\(432\) −0.488168 + 5.17317i −0.0234870 + 0.248894i
\(433\) 2.25168i 0.108209i −0.998535 0.0541044i \(-0.982770\pi\)
0.998535 0.0541044i \(-0.0172304\pi\)
\(434\) 0.0994112 12.2934i 0.00477189 0.590101i
\(435\) 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 \(-0.814248\pi\)
0.0599239 + 0.998203i \(0.480914\pi\)
\(440\) 4.29953 0.204972
\(441\) −19.1061 8.71539i −0.909813 0.415019i
\(442\) −17.9251 −0.852609
\(443\) −1.04314 + 0.602256i −0.0495610 + 0.0286141i −0.524576 0.851364i \(-0.675776\pi\)
0.475015 + 0.879978i \(0.342443\pi\)
\(444\) −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
\(448\) −0.0213944 + 2.64566i −0.00101079 + 0.124996i
\(449\) 26.8022i 1.26487i 0.774612 + 0.632436i \(0.217945\pi\)
−0.774612 + 0.632436i \(0.782055\pi\)
\(450\) 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
\(455\) −11.4220 20.1583i −0.535473 0.945033i
\(456\) −5.11524 1.06834i −0.239543 0.0500298i
\(457\) −6.92442 11.9934i −0.323911 0.561030i 0.657381 0.753559i \(-0.271664\pi\)
−0.981291 + 0.192529i \(0.938331\pi\)
\(458\) −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 \(-0.202358\pi\)
−0.916533 + 0.399959i \(0.869024\pi\)
\(462\) −8.14483 7.40090i −0.378932 0.344321i
\(463\) 10.5194 18.2201i 0.488877 0.846760i −0.511041 0.859556i \(-0.670740\pi\)
0.999918 + 0.0127960i \(0.00407321\pi\)
\(464\) 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 \(-0.543016\pi\)
−0.134729 + 0.990883i \(0.543016\pi\)
\(468\) 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 −0.990239 0.139382i \(-0.955488\pi\)
0.374411 0.927263i \(-0.377845\pi\)
\(480\) 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
\(483\) −11.6072 + 12.7739i −0.528144 + 0.581232i
\(484\) 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
\(490\) −0.202676 + 12.5308i −0.00915596 + 0.566084i
\(491\) −33.7430 19.4815i −1.52280 0.879188i −0.999637 0.0269544i \(-0.991419\pi\)
−0.523162 0.852234i \(-0.675248\pi\)
\(492\) 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
\(497\) −15.7749 0.127565i −0.707600 0.00572206i
\(498\) −18.0847 16.1678i −0.810393 0.724497i
\(499\) −13.0048 + 22.5250i −0.582176 + 1.00836i 0.413045 + 0.910711i \(0.364465\pi\)
−0.995221 + 0.0976483i \(0.968868\pi\)
\(500\) 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 \(-0.575407\pi\)
−0.234689 + 0.972070i \(0.575407\pi\)
\(504\) −7.24782 3.23561i −0.322843 0.144125i
\(505\) 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 \(-0.839957\pi\)
0.855434 + 0.517911i \(0.173290\pi\)
\(510\) 2.32330 11.1240i 0.102878 0.492580i
\(511\) −32.7571 0.264892i −1.44909 0.0117181i
\(512\) 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
\(518\) −12.2136 21.5552i −0.536633 0.947080i
\(519\) 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 \(-0.167076\pi\)
0.865382 + 0.501112i \(0.167076\pi\)
\(522\) −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
\(525\) −7.83306 + 2.50584i −0.341863 + 0.109364i
\(526\) −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
\(546\) −4.75985 + 21.9037i −0.203703 + 0.937390i
\(547\) −12.2477 21.2136i −0.523672 0.907026i −0.999620 0.0275530i \(-0.991229\pi\)
0.475949 0.879473i \(-0.342105\pi\)
\(548\) 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
\(553\) −6.99004 + 3.96068i −0.297247 + 0.168425i
\(554\) 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 \(-0.982834\pi\)
0.998546 0.0539030i \(-0.0171662\pi\)
\(558\) 12.7745 + 5.57943i 0.540789 + 0.236196i
\(559\) 34.0560i 1.44042i
\(560\) −0.0383034 + 4.73667i −0.00161861 + 0.200161i
\(561\) −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 \(-0.725190\pi\)
0.983146 + 0.182823i \(0.0585236\pi\)
\(564\) 8.70799 + 1.81871i 0.366673 + 0.0765814i
\(565\) −1.79783 + 1.03798i −0.0756354 + 0.0436681i
\(566\) 5.44783 0.228990
\(567\) 17.5982 16.0407i 0.739055 0.673645i
\(568\) −5.96254 −0.250182
\(569\) −5.52793 + 3.19155i −0.231743 + 0.133797i −0.611376 0.791340i \(-0.709384\pi\)
0.379633 + 0.925137i \(0.376050\pi\)
\(570\) −9.15807 1.91271i −0.383589 0.0801145i
\(571\) 3.91188 6.77557i 0.163707 0.283549i −0.772488 0.635029i \(-0.780988\pi\)
0.936195 + 0.351480i \(0.114322\pi\)
\(572\) −5.87327 + 10.1728i −0.245574 + 0.425346i
\(573\) 15.2252 5.00668i 0.636040 0.209157i
\(574\) −21.3819 0.172907i −0.892465 0.00721698i
\(575\) 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
\(581\) 32.2392 18.2673i 1.33751 0.757855i
\(582\) 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 \(-0.135404\pi\)
−0.812823 + 0.582511i \(0.802070\pi\)
\(588\) 8.22591 8.90698i 0.339231 0.367318i
\(589\) −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 \(-0.523424\pi\)
−0.0735208 + 0.997294i \(0.523424\pi\)
\(594\) 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 0.209183 0.977877i \(-0.432920\pi\)
−0.742274 + 0.670096i \(0.766253\pi\)
\(600\) −2.95286 + 0.971027i −0.120550 + 0.0396420i
\(601\) 19.8704 11.4722i 0.810530 0.467960i −0.0366096 0.999330i \(-0.511656\pi\)
0.847140 + 0.531370i \(0.178322\pi\)
\(602\) −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 \(-0.498851\pi\)
−0.864215 + 0.503123i \(0.832184\pi\)
\(608\) 1.50851 2.61281i 0.0611780 0.105963i
\(609\) −9.16106 28.6368i −0.371225 1.16042i
\(610\) 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
\(616\) 5.52805 3.13229i 0.222731 0.126204i
\(617\) −11.7607 6.79005i −0.473468 0.273357i 0.244222 0.969719i \(-0.421467\pi\)
−0.717690 + 0.696362i \(0.754801\pi\)
\(618\) 0.284722 + 0.0594656i 0.0114532 + 0.00239206i
\(619\) 30.7325 17.7434i 1.23524 0.713169i 0.267126 0.963662i \(-0.413926\pi\)
0.968118 + 0.250493i \(0.0805926\pi\)
\(620\) 8.31905i 0.334101i
\(621\) −8.14977 17.7931i −0.327039 0.714012i
\(622\) 10.9100i 0.437452i
\(623\) 0.0801996 9.91762i 0.00321313 0.397341i
\(624\) −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
\(630\) −12.9761 5.79286i −0.516981 0.230793i
\(631\) 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
\(637\) −29.3714 17.5969i −1.16374 0.697216i
\(638\) 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 −0.481466 0.876465i \(-0.659895\pi\)
0.518308 + 0.855194i \(0.326562\pi\)
\(642\) −4.32357 13.1478i −0.170638 0.518903i
\(643\) −33.3126 19.2330i −1.31372 0.758477i −0.331010 0.943627i \(-0.607389\pi\)
−0.982710 + 0.185150i \(0.940723\pi\)
\(644\) −4.91251 8.66988i −0.193580 0.341641i
\(645\) 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 \(-0.443693\pi\)
0.175972 + 0.984395i \(0.443693\pi\)
\(648\) 6.60226 6.11639i 0.259361 0.240274i
\(649\) 35.0380i 1.37536i
\(650\) 4.38910 + 7.60215i 0.172155 + 0.298181i
\(651\) −14.3198 + 15.7592i −0.561238 + 0.617653i
\(652\) −2.16789 + 3.75489i −0.0849010 + 0.147053i
\(653\) −9.85934 5.69229i −0.385826 0.222757i 0.294524 0.955644i \(-0.404839\pi\)
−0.680350 + 0.732887i \(0.738172\pi\)
\(654\) 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 0.258723 0.965952i \(-0.416698\pi\)
0.965900 + 0.258915i \(0.0833650\pi\)
\(660\) −5.55183 4.96337i −0.216105 0.193199i
\(661\) 31.2425 + 18.0379i 1.21519 + 0.701593i 0.963886 0.266315i \(-0.0858060\pi\)
0.251308 + 0.967907i \(0.419139\pi\)
\(662\) −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
\(672\) 3.08178 3.39155i 0.118882 0.130832i
\(673\) 4.78512 + 8.28806i 0.184453 + 0.319481i 0.943392 0.331680i \(-0.107615\pi\)
−0.758939 + 0.651161i \(0.774282\pi\)
\(674\) 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 \(-0.263760\pi\)
−0.976208 + 0.216835i \(0.930427\pi\)
\(678\) 1.96594 + 0.410596i 0.0755015 + 0.0157689i
\(679\) 7.18786 + 12.6855i 0.275845 + 0.486826i
\(680\) 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 \(0.0683114\pi\)
−0.977060 + 0.212963i \(0.931689\pi\)
\(684\) 5.37184 + 7.28454i 0.205397 + 0.278531i
\(685\) 8.45145i 0.322913i
\(686\) 8.86835 + 16.2589i 0.338595 + 0.620768i
\(687\) 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 \(-0.684987\pi\)
0.449356 + 0.893353i \(0.351654\pi\)
\(692\) −17.4182 −0.662139
\(693\) 1.97354 + 18.9589i 0.0749685 + 0.720189i
\(694\) 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
\(700\) 0.0383954 4.74804i 0.00145121 0.179459i
\(701\) 50.1486i 1.89409i 0.321103 + 0.947044i \(0.395946\pi\)
−0.321103 + 0.947044i \(0.604054\pi\)
\(702\) −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
\(707\) 0.576224 0.326499i 0.0216711 0.0122793i
\(708\) −7.89419 24.0060i −0.296682 0.902200i
\(709\) 1.80385 + 3.12436i 0.0677449 + 0.117338i 0.897908 0.440183i \(-0.145086\pi\)
−0.830163 + 0.557520i \(0.811753\pi\)
\(710\) −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
\(714\) −5.11691 15.9951i −0.191496 0.598601i
\(715\) −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 \(-0.278981\pi\)
0.639887 + 0.768469i \(0.278981\pi\)
\(720\) −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 \(-0.803595\pi\)
0.0932892 + 0.995639i \(0.470262\pi\)
\(728\) −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 \(-0.528686\pi\)
−0.907510 + 0.420030i \(0.862020\pi\)
\(734\) −14.8501 + 25.7212i −0.548129 + 0.949387i
\(735\) 14.7273 15.9466i 0.543223 0.588200i
\(736\) −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 0.466947 0.884285i \(-0.345354\pi\)
−0.532340 + 0.846531i \(0.678687\pi\)
\(744\) −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
\(749\) 21.1410 + 0.170958i 0.772475 + 0.00624667i
\(750\) −20.0156 + 6.58198i −0.730866 + 0.240340i
\(751\) −11.9053 + 20.6205i −0.434429 + 0.752454i −0.997249 0.0741262i \(-0.976383\pi\)
0.562820 + 0.826580i \(0.309717\pi\)
\(752\) −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
\(756\) 5.62367 + 12.5449i 0.204531 + 0.456253i
\(757\) 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 0.494775 + 0.869021i \(0.335250\pi\)
−0.999982 + 0.00602283i \(0.998083\pi\)
\(762\) −2.30599 + 0.758309i −0.0835374 + 0.0274707i
\(763\) −0.405495 + 50.1442i −0.0146799 + 1.81534i
\(764\) 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 \(-0.292052\pi\)
−0.383802 + 0.923415i \(0.625385\pi\)
\(770\) 9.89714 5.60790i 0.356668 0.202095i
\(771\) 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 \(-0.487738\pi\)
0.0385128 + 0.999258i \(0.487738\pi\)
\(774\) −12.3969 16.8110i −0.445598 0.604258i