Properties

Label 585.2.i.h.196.10
Level $585$
Weight $2$
Character 585.196
Analytic conductor $4.671$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 196.10
Character \(\chi\) \(=\) 585.196
Dual form 585.2.i.h.391.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.562020 - 0.973448i) q^{2} +(-0.0186726 - 1.73195i) q^{3} +(0.368266 + 0.637856i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-1.69646 - 0.955214i) q^{6} +(1.91433 - 3.31571i) q^{7} +3.07597 q^{8} +(-2.99930 + 0.0646801i) q^{9} +O(q^{10})\) \(q+(0.562020 - 0.973448i) q^{2} +(-0.0186726 - 1.73195i) q^{3} +(0.368266 + 0.637856i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-1.69646 - 0.955214i) q^{6} +(1.91433 - 3.31571i) q^{7} +3.07597 q^{8} +(-2.99930 + 0.0646801i) q^{9} +1.12404 q^{10} +(-0.975625 + 1.68983i) q^{11} +(1.09786 - 0.649730i) q^{12} +(-0.500000 - 0.866025i) q^{13} +(-2.15178 - 3.72700i) q^{14} +(1.49058 - 0.882146i) q^{15} +(0.992227 - 1.71859i) q^{16} +6.58579 q^{17} +(-1.62271 + 2.95602i) q^{18} +0.304113 q^{19} +(-0.368266 + 0.637856i) q^{20} +(-5.77840 - 3.25361i) q^{21} +(1.09664 + 1.89944i) q^{22} +(-3.00958 - 5.21275i) q^{23} +(-0.0574365 - 5.32743i) q^{24} +(-0.500000 + 0.866025i) q^{25} -1.12404 q^{26} +(0.168028 + 5.19343i) q^{27} +2.81993 q^{28} +(-0.378122 + 0.654926i) q^{29} +(-0.0209888 - 1.94678i) q^{30} +(-3.95628 - 6.85248i) q^{31} +(1.96067 + 3.39598i) q^{32} +(2.94492 + 1.65818i) q^{33} +(3.70135 - 6.41093i) q^{34} +3.82866 q^{35} +(-1.14580 - 1.88930i) q^{36} -8.54464 q^{37} +(0.170918 - 0.296038i) q^{38} +(-1.49058 + 0.882146i) q^{39} +(1.53799 + 2.66387i) q^{40} +(5.74126 + 9.94416i) q^{41} +(-6.41479 + 3.79637i) q^{42} +(-3.06293 + 5.30515i) q^{43} -1.43716 q^{44} +(-1.55567 - 2.56513i) q^{45} -6.76579 q^{46} +(4.90423 - 8.49437i) q^{47} +(-2.99504 - 1.68640i) q^{48} +(-3.82930 - 6.63255i) q^{49} +(0.562020 + 0.973448i) q^{50} +(-0.122974 - 11.4063i) q^{51} +(0.368266 - 0.637856i) q^{52} +0.480958 q^{53} +(5.14997 + 2.75525i) q^{54} -1.95125 q^{55} +(5.88842 - 10.1990i) q^{56} +(-0.00567859 - 0.526709i) q^{57} +(0.425024 + 0.736164i) q^{58} +(4.91277 + 8.50916i) q^{59} +(1.11161 + 0.625909i) q^{60} +(-4.93916 + 8.55488i) q^{61} -8.89404 q^{62} +(-5.52719 + 10.0686i) q^{63} +8.37665 q^{64} +(0.500000 - 0.866025i) q^{65} +(3.26926 - 1.93480i) q^{66} +(0.805583 + 1.39531i) q^{67} +(2.42533 + 4.20079i) q^{68} +(-8.97203 + 5.30979i) q^{69} +(2.15178 - 3.72700i) q^{70} -10.6648 q^{71} +(-9.22578 + 0.198954i) q^{72} -10.2640 q^{73} +(-4.80226 + 8.31776i) q^{74} +(1.50925 + 0.849804i) q^{75} +(0.111995 + 0.193980i) q^{76} +(3.73533 + 6.46979i) q^{77} +(0.0209888 + 1.94678i) q^{78} +(3.35755 - 5.81544i) q^{79} +1.98445 q^{80} +(8.99163 - 0.387991i) q^{81} +12.9068 q^{82} +(-4.46272 + 7.72966i) q^{83} +(-0.0526555 - 4.88398i) q^{84} +(3.29290 + 5.70346i) q^{85} +(3.44286 + 5.96320i) q^{86} +(1.14136 + 0.642659i) q^{87} +(-3.00100 + 5.19788i) q^{88} +6.53502 q^{89} +(-3.37134 + 0.0727031i) q^{90} -3.82866 q^{91} +(2.21666 - 3.83936i) q^{92} +(-11.7943 + 6.98003i) q^{93} +(-5.51255 - 9.54802i) q^{94} +(0.152057 + 0.263370i) q^{95} +(5.84506 - 3.45920i) q^{96} +(0.256330 - 0.443977i) q^{97} -8.60859 q^{98} +(2.81690 - 5.13142i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9} + 2 q^{10} + 9 q^{11} + 18 q^{12} - 15 q^{13} + 3 q^{14} + 2 q^{15} - 33 q^{16} + 6 q^{17} + 9 q^{18} + 30 q^{19} + 21 q^{20} + 9 q^{21} - 10 q^{22} - 6 q^{23} + 24 q^{24} - 15 q^{25} - 2 q^{26} - 2 q^{27} + 70 q^{28} + 8 q^{29} - 6 q^{30} - 22 q^{31} + 21 q^{32} - 20 q^{33} - 9 q^{34} - 20 q^{35} - 7 q^{36} + 8 q^{37} - 14 q^{38} - 2 q^{39} + 13 q^{41} + 21 q^{42} - 24 q^{43} + 10 q^{44} - 7 q^{45} - 6 q^{46} - q^{47} - 27 q^{48} - 37 q^{49} + q^{50} - q^{51} - 21 q^{52} + 14 q^{53} - 24 q^{54} + 18 q^{55} + 17 q^{56} - 55 q^{57} - 22 q^{58} + 19 q^{59} + 9 q^{60} - 16 q^{61} + 26 q^{62} + 4 q^{63} + 72 q^{64} + 15 q^{65} + 24 q^{66} - 11 q^{67} - 28 q^{68} + 44 q^{69} - 3 q^{70} - 56 q^{71} - 18 q^{72} + 52 q^{73} + 8 q^{74} + q^{75} - 18 q^{76} - 24 q^{77} + 6 q^{78} - 44 q^{79} - 66 q^{80} + 37 q^{81} + 70 q^{82} - 3 q^{83} - 139 q^{84} + 3 q^{85} + 40 q^{86} + 60 q^{87} - 37 q^{88} - 8 q^{89} - 12 q^{90} + 20 q^{91} - 74 q^{92} - 55 q^{93} - 2 q^{94} + 15 q^{95} + 55 q^{96} - 33 q^{97} + 6 q^{98} + 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.562020 0.973448i 0.397408 0.688331i −0.595997 0.802987i \(-0.703243\pi\)
0.993405 + 0.114655i \(0.0365763\pi\)
\(3\) −0.0186726 1.73195i −0.0107807 0.999942i
\(4\) 0.368266 + 0.637856i 0.184133 + 0.318928i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −1.69646 0.955214i −0.692576 0.389965i
\(7\) 1.91433 3.31571i 0.723548 1.25322i −0.236021 0.971748i \(-0.575843\pi\)
0.959569 0.281474i \(-0.0908233\pi\)
\(8\) 3.07597 1.08752
\(9\) −2.99930 + 0.0646801i −0.999768 + 0.0215600i
\(10\) 1.12404 0.355453
\(11\) −0.975625 + 1.68983i −0.294162 + 0.509504i −0.974790 0.223126i \(-0.928374\pi\)
0.680627 + 0.732630i \(0.261707\pi\)
\(12\) 1.09786 0.649730i 0.316924 0.187561i
\(13\) −0.500000 0.866025i −0.138675 0.240192i
\(14\) −2.15178 3.72700i −0.575088 0.996082i
\(15\) 1.49058 0.882146i 0.384865 0.227769i
\(16\) 0.992227 1.71859i 0.248057 0.429647i
\(17\) 6.58579 1.59729 0.798645 0.601803i \(-0.205551\pi\)
0.798645 + 0.601803i \(0.205551\pi\)
\(18\) −1.62271 + 2.95602i −0.382476 + 0.696740i
\(19\) 0.304113 0.0697684 0.0348842 0.999391i \(-0.488894\pi\)
0.0348842 + 0.999391i \(0.488894\pi\)
\(20\) −0.368266 + 0.637856i −0.0823469 + 0.142629i
\(21\) −5.77840 3.25361i −1.26095 0.709995i
\(22\) 1.09664 + 1.89944i 0.233805 + 0.404962i
\(23\) −3.00958 5.21275i −0.627542 1.08693i −0.988043 0.154176i \(-0.950728\pi\)
0.360502 0.932759i \(-0.382605\pi\)
\(24\) −0.0574365 5.32743i −0.0117242 1.08746i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −1.12404 −0.220442
\(27\) 0.168028 + 5.19343i 0.0323369 + 0.999477i
\(28\) 2.81993 0.532917
\(29\) −0.378122 + 0.654926i −0.0702155 + 0.121617i −0.898996 0.437958i \(-0.855702\pi\)
0.828780 + 0.559574i \(0.189035\pi\)
\(30\) −0.0209888 1.94678i −0.00383201 0.355432i
\(31\) −3.95628 6.85248i −0.710569 1.23074i −0.964644 0.263557i \(-0.915104\pi\)
0.254075 0.967185i \(-0.418229\pi\)
\(32\) 1.96067 + 3.39598i 0.346601 + 0.600330i
\(33\) 2.94492 + 1.65818i 0.512645 + 0.288652i
\(34\) 3.70135 6.41093i 0.634776 1.09946i
\(35\) 3.82866 0.647161
\(36\) −1.14580 1.88930i −0.190967 0.314884i
\(37\) −8.54464 −1.40473 −0.702365 0.711817i \(-0.747872\pi\)
−0.702365 + 0.711817i \(0.747872\pi\)
\(38\) 0.170918 0.296038i 0.0277265 0.0480238i
\(39\) −1.49058 + 0.882146i −0.238683 + 0.141256i
\(40\) 1.53799 + 2.66387i 0.243177 + 0.421195i
\(41\) 5.74126 + 9.94416i 0.896635 + 1.55302i 0.831769 + 0.555123i \(0.187329\pi\)
0.0648660 + 0.997894i \(0.479338\pi\)
\(42\) −6.41479 + 3.79637i −0.989824 + 0.585793i
\(43\) −3.06293 + 5.30515i −0.467092 + 0.809027i −0.999293 0.0375907i \(-0.988032\pi\)
0.532201 + 0.846618i \(0.321365\pi\)
\(44\) −1.43716 −0.216660
\(45\) −1.55567 2.56513i −0.231905 0.382387i
\(46\) −6.76579 −0.997561
\(47\) 4.90423 8.49437i 0.715355 1.23903i −0.247467 0.968896i \(-0.579598\pi\)
0.962822 0.270135i \(-0.0870684\pi\)
\(48\) −2.99504 1.68640i −0.432296 0.243410i
\(49\) −3.82930 6.63255i −0.547043 0.947507i
\(50\) 0.562020 + 0.973448i 0.0794817 + 0.137666i
\(51\) −0.122974 11.4063i −0.0172198 1.59720i
\(52\) 0.368266 0.637856i 0.0510694 0.0884547i
\(53\) 0.480958 0.0660646 0.0330323 0.999454i \(-0.489484\pi\)
0.0330323 + 0.999454i \(0.489484\pi\)
\(54\) 5.14997 + 2.75525i 0.700822 + 0.374942i
\(55\) −1.95125 −0.263107
\(56\) 5.88842 10.1990i 0.786874 1.36291i
\(57\) −0.00567859 0.526709i −0.000752148 0.0697643i
\(58\) 0.425024 + 0.736164i 0.0558084 + 0.0966630i
\(59\) 4.91277 + 8.50916i 0.639588 + 1.10780i 0.985523 + 0.169540i \(0.0542283\pi\)
−0.345935 + 0.938258i \(0.612438\pi\)
\(60\) 1.11161 + 0.625909i 0.143508 + 0.0808045i
\(61\) −4.93916 + 8.55488i −0.632395 + 1.09534i 0.354666 + 0.934993i \(0.384595\pi\)
−0.987061 + 0.160347i \(0.948739\pi\)
\(62\) −8.89404 −1.12954
\(63\) −5.52719 + 10.0686i −0.696360 + 1.26853i
\(64\) 8.37665 1.04708
\(65\) 0.500000 0.866025i 0.0620174 0.107417i
\(66\) 3.26926 1.93480i 0.402418 0.238157i
\(67\) 0.805583 + 1.39531i 0.0984176 + 0.170464i 0.911030 0.412340i \(-0.135289\pi\)
−0.812612 + 0.582805i \(0.801955\pi\)
\(68\) 2.42533 + 4.20079i 0.294114 + 0.509420i
\(69\) −8.97203 + 5.30979i −1.08011 + 0.639223i
\(70\) 2.15178 3.72700i 0.257187 0.445461i
\(71\) −10.6648 −1.26567 −0.632837 0.774285i \(-0.718110\pi\)
−0.632837 + 0.774285i \(0.718110\pi\)
\(72\) −9.22578 + 0.198954i −1.08727 + 0.0234470i
\(73\) −10.2640 −1.20131 −0.600654 0.799509i \(-0.705093\pi\)
−0.600654 + 0.799509i \(0.705093\pi\)
\(74\) −4.80226 + 8.31776i −0.558251 + 0.966920i
\(75\) 1.50925 + 0.849804i 0.174273 + 0.0981269i
\(76\) 0.111995 + 0.193980i 0.0128467 + 0.0222511i
\(77\) 3.73533 + 6.46979i 0.425681 + 0.737301i
\(78\) 0.0209888 + 1.94678i 0.00237651 + 0.220430i
\(79\) 3.35755 5.81544i 0.377754 0.654289i −0.612981 0.790097i \(-0.710030\pi\)
0.990735 + 0.135809i \(0.0433633\pi\)
\(80\) 1.98445 0.221869
\(81\) 8.99163 0.387991i 0.999070 0.0431101i
\(82\) 12.9068 1.42532
\(83\) −4.46272 + 7.72966i −0.489848 + 0.848441i −0.999932 0.0116836i \(-0.996281\pi\)
0.510084 + 0.860124i \(0.329614\pi\)
\(84\) −0.0526555 4.88398i −0.00574519 0.532886i
\(85\) 3.29290 + 5.70346i 0.357165 + 0.618628i
\(86\) 3.44286 + 5.96320i 0.371253 + 0.643028i
\(87\) 1.14136 + 0.642659i 0.122367 + 0.0689003i
\(88\) −3.00100 + 5.19788i −0.319908 + 0.554096i
\(89\) 6.53502 0.692711 0.346356 0.938103i \(-0.387419\pi\)
0.346356 + 0.938103i \(0.387419\pi\)
\(90\) −3.37134 + 0.0727031i −0.355370 + 0.00766358i
\(91\) −3.82866 −0.401352
\(92\) 2.21666 3.83936i 0.231103 0.400281i
\(93\) −11.7943 + 6.98003i −1.22301 + 0.723796i
\(94\) −5.51255 9.54802i −0.568576 0.984803i
\(95\) 0.152057 + 0.263370i 0.0156007 + 0.0270212i
\(96\) 5.84506 3.45920i 0.596559 0.353053i
\(97\) 0.256330 0.443977i 0.0260264 0.0450790i −0.852719 0.522370i \(-0.825048\pi\)
0.878745 + 0.477291i \(0.158381\pi\)
\(98\) −8.60859 −0.869598
\(99\) 2.81690 5.13142i 0.283109 0.515727i
\(100\) −0.736533 −0.0736533
\(101\) −4.40630 + 7.63193i −0.438443 + 0.759405i −0.997570 0.0696769i \(-0.977803\pi\)
0.559127 + 0.829082i \(0.311137\pi\)
\(102\) −11.1725 6.29084i −1.10624 0.622886i
\(103\) −1.50238 2.60219i −0.148034 0.256402i 0.782467 0.622692i \(-0.213961\pi\)
−0.930501 + 0.366290i \(0.880628\pi\)
\(104\) −1.53799 2.66387i −0.150812 0.261214i
\(105\) −0.0714911 6.63104i −0.00697682 0.647123i
\(106\) 0.270308 0.468187i 0.0262546 0.0454743i
\(107\) 14.3585 1.38809 0.694045 0.719932i \(-0.255827\pi\)
0.694045 + 0.719932i \(0.255827\pi\)
\(108\) −3.25079 + 2.01975i −0.312807 + 0.194350i
\(109\) 16.0914 1.54127 0.770637 0.637275i \(-0.219938\pi\)
0.770637 + 0.637275i \(0.219938\pi\)
\(110\) −1.09664 + 1.89944i −0.104561 + 0.181105i
\(111\) 0.159551 + 14.7989i 0.0151439 + 1.40465i
\(112\) −3.79890 6.57988i −0.358962 0.621740i
\(113\) 6.46260 + 11.1935i 0.607950 + 1.05300i 0.991578 + 0.129512i \(0.0413412\pi\)
−0.383628 + 0.923488i \(0.625326\pi\)
\(114\) −0.515915 0.290493i −0.0483199 0.0272072i
\(115\) 3.00958 5.21275i 0.280645 0.486092i
\(116\) −0.556998 −0.0517160
\(117\) 1.55567 + 2.56513i 0.143821 + 0.237147i
\(118\) 11.0443 1.01671
\(119\) 12.6074 21.8366i 1.15572 2.00176i
\(120\) 4.58497 2.71346i 0.418549 0.247704i
\(121\) 3.59631 + 6.22899i 0.326937 + 0.566272i
\(122\) 5.55182 + 9.61603i 0.502638 + 0.870594i
\(123\) 17.1156 10.1293i 1.54326 0.913325i
\(124\) 2.91393 5.04708i 0.261679 0.453241i
\(125\) −1.00000 −0.0894427
\(126\) 6.69491 + 11.0392i 0.596430 + 0.983451i
\(127\) 9.34826 0.829524 0.414762 0.909930i \(-0.363865\pi\)
0.414762 + 0.909930i \(0.363865\pi\)
\(128\) 0.786508 1.36227i 0.0695182 0.120409i
\(129\) 9.24544 + 5.20578i 0.814016 + 0.458343i
\(130\) −0.562020 0.973448i −0.0492924 0.0853770i
\(131\) −0.354061 0.613252i −0.0309345 0.0535801i 0.850144 0.526551i \(-0.176515\pi\)
−0.881078 + 0.472971i \(0.843182\pi\)
\(132\) 0.0268356 + 2.48909i 0.00233574 + 0.216647i
\(133\) 0.582172 1.00835i 0.0504808 0.0874352i
\(134\) 1.81102 0.156448
\(135\) −4.41363 + 2.74223i −0.379865 + 0.236014i
\(136\) 20.2577 1.73709
\(137\) −2.20907 + 3.82622i −0.188733 + 0.326896i −0.944828 0.327566i \(-0.893772\pi\)
0.756095 + 0.654462i \(0.227105\pi\)
\(138\) 0.126335 + 11.7180i 0.0107544 + 0.997503i
\(139\) 2.67228 + 4.62852i 0.226660 + 0.392586i 0.956816 0.290694i \(-0.0938862\pi\)
−0.730156 + 0.683280i \(0.760553\pi\)
\(140\) 1.40997 + 2.44213i 0.119164 + 0.206398i
\(141\) −14.8034 8.33526i −1.24667 0.701956i
\(142\) −5.99381 + 10.3816i −0.502989 + 0.871203i
\(143\) 1.95125 0.163172
\(144\) −2.86483 + 5.21874i −0.238736 + 0.434895i
\(145\) −0.756244 −0.0628026
\(146\) −5.76857 + 9.99145i −0.477410 + 0.826898i
\(147\) −11.4157 + 6.75601i −0.941554 + 0.557226i
\(148\) −3.14670 5.45025i −0.258657 0.448008i
\(149\) −0.997275 1.72733i −0.0817000 0.141508i 0.822280 0.569083i \(-0.192702\pi\)
−0.903980 + 0.427574i \(0.859368\pi\)
\(150\) 1.67547 0.991568i 0.136801 0.0809612i
\(151\) −3.61446 + 6.26042i −0.294140 + 0.509466i −0.974785 0.223148i \(-0.928367\pi\)
0.680644 + 0.732614i \(0.261700\pi\)
\(152\) 0.935444 0.0758746
\(153\) −19.7528 + 0.425970i −1.59692 + 0.0344376i
\(154\) 8.39733 0.676677
\(155\) 3.95628 6.85248i 0.317776 0.550404i
\(156\) −1.11161 0.625909i −0.0890002 0.0501128i
\(157\) −2.32550 4.02788i −0.185595 0.321460i 0.758182 0.652043i \(-0.226088\pi\)
−0.943777 + 0.330583i \(0.892755\pi\)
\(158\) −3.77402 6.53680i −0.300245 0.520040i
\(159\) −0.00898075 0.832995i −0.000712219 0.0660608i
\(160\) −1.96067 + 3.39598i −0.155005 + 0.268476i
\(161\) −23.0453 −1.81623
\(162\) 4.67579 8.97094i 0.367365 0.704824i
\(163\) 17.1340 1.34204 0.671018 0.741441i \(-0.265857\pi\)
0.671018 + 0.741441i \(0.265857\pi\)
\(164\) −4.22863 + 7.32420i −0.330200 + 0.571924i
\(165\) 0.0364350 + 3.37947i 0.00283646 + 0.263091i
\(166\) 5.01628 + 8.68846i 0.389339 + 0.674355i
\(167\) −2.09230 3.62397i −0.161907 0.280431i 0.773646 0.633619i \(-0.218431\pi\)
−0.935553 + 0.353188i \(0.885098\pi\)
\(168\) −17.7742 10.0080i −1.37131 0.772135i
\(169\) −0.500000 + 0.866025i −0.0384615 + 0.0666173i
\(170\) 7.40270 0.567761
\(171\) −0.912128 + 0.0196701i −0.0697521 + 0.00150421i
\(172\) −4.51189 −0.344029
\(173\) −11.2563 + 19.4965i −0.855799 + 1.48229i 0.0201020 + 0.999798i \(0.493601\pi\)
−0.875901 + 0.482490i \(0.839732\pi\)
\(174\) 1.26706 0.749867i 0.0960558 0.0568473i
\(175\) 1.91433 + 3.31571i 0.144710 + 0.250644i
\(176\) 1.93608 + 3.35340i 0.145938 + 0.252772i
\(177\) 14.6457 8.66756i 1.10084 0.651493i
\(178\) 3.67282 6.36150i 0.275289 0.476815i
\(179\) −18.7924 −1.40461 −0.702306 0.711875i \(-0.747846\pi\)
−0.702306 + 0.711875i \(0.747846\pi\)
\(180\) 1.06329 1.93694i 0.0792526 0.144371i
\(181\) −11.5003 −0.854814 −0.427407 0.904059i \(-0.640573\pi\)
−0.427407 + 0.904059i \(0.640573\pi\)
\(182\) −2.15178 + 3.72700i −0.159501 + 0.276263i
\(183\) 14.9088 + 8.39464i 1.10209 + 0.620549i
\(184\) −9.25740 16.0343i −0.682465 1.18206i
\(185\) −4.27232 7.39987i −0.314107 0.544049i
\(186\) 0.166075 + 15.4040i 0.0121772 + 1.12948i
\(187\) −6.42527 + 11.1289i −0.469862 + 0.813825i
\(188\) 7.22425 0.526882
\(189\) 17.5416 + 9.38481i 1.27596 + 0.682644i
\(190\) 0.341836 0.0247994
\(191\) 1.51376 2.62191i 0.109532 0.189715i −0.806049 0.591849i \(-0.798398\pi\)
0.915581 + 0.402134i \(0.131731\pi\)
\(192\) −0.156414 14.5079i −0.0112882 1.04702i
\(193\) −11.8241 20.4799i −0.851115 1.47417i −0.880203 0.474597i \(-0.842594\pi\)
0.0290881 0.999577i \(-0.490740\pi\)
\(194\) −0.288126 0.499048i −0.0206862 0.0358296i
\(195\) −1.50925 0.849804i −0.108080 0.0608557i
\(196\) 2.82041 4.88509i 0.201458 0.348935i
\(197\) 9.10668 0.648824 0.324412 0.945916i \(-0.394834\pi\)
0.324412 + 0.945916i \(0.394834\pi\)
\(198\) −3.41202 5.62607i −0.242482 0.399827i
\(199\) −20.5423 −1.45621 −0.728103 0.685468i \(-0.759598\pi\)
−0.728103 + 0.685468i \(0.759598\pi\)
\(200\) −1.53799 + 2.66387i −0.108752 + 0.188364i
\(201\) 2.40157 1.42128i 0.169393 0.100250i
\(202\) 4.95286 + 8.57860i 0.348482 + 0.603588i
\(203\) 1.44770 + 2.50749i 0.101609 + 0.175991i
\(204\) 7.23027 4.27898i 0.506220 0.299589i
\(205\) −5.74126 + 9.94416i −0.400987 + 0.694530i
\(206\) −3.37747 −0.235319
\(207\) 9.36382 + 15.4400i 0.650830 + 1.07315i
\(208\) −1.98445 −0.137597
\(209\) −0.296701 + 0.513900i −0.0205232 + 0.0355472i
\(210\) −6.49515 3.65719i −0.448208 0.252370i
\(211\) −6.01318 10.4151i −0.413964 0.717007i 0.581355 0.813650i \(-0.302523\pi\)
−0.995319 + 0.0966431i \(0.969189\pi\)
\(212\) 0.177121 + 0.306782i 0.0121647 + 0.0210699i
\(213\) 0.199139 + 18.4708i 0.0136448 + 1.26560i
\(214\) 8.06977 13.9773i 0.551638 0.955466i
\(215\) −6.12586 −0.417780
\(216\) 0.516849 + 15.9749i 0.0351671 + 1.08695i
\(217\) −30.2945 −2.05652
\(218\) 9.04367 15.6641i 0.612515 1.06091i
\(219\) 0.191656 + 17.7767i 0.0129509 + 1.20124i
\(220\) −0.718580 1.24462i −0.0484467 0.0839121i
\(221\) −3.29290 5.70346i −0.221504 0.383657i
\(222\) 14.4956 + 8.16196i 0.972882 + 0.547795i
\(223\) −1.53935 + 2.66624i −0.103083 + 0.178544i −0.912953 0.408064i \(-0.866204\pi\)
0.809871 + 0.586609i \(0.199537\pi\)
\(224\) 15.0135 1.00313
\(225\) 1.44364 2.62981i 0.0962424 0.175321i
\(226\) 14.5284 0.966417
\(227\) 1.67941 2.90882i 0.111466 0.193065i −0.804895 0.593417i \(-0.797779\pi\)
0.916362 + 0.400352i \(0.131112\pi\)
\(228\) 0.333873 0.197591i 0.0221113 0.0130858i
\(229\) −14.2299 24.6469i −0.940336 1.62871i −0.764830 0.644232i \(-0.777177\pi\)
−0.175506 0.984478i \(-0.556156\pi\)
\(230\) −3.38290 5.85935i −0.223061 0.386354i
\(231\) 11.1356 6.59022i 0.732669 0.433605i
\(232\) −1.16309 + 2.01454i −0.0763608 + 0.132261i
\(233\) −27.8026 −1.82141 −0.910703 0.413061i \(-0.864460\pi\)
−0.910703 + 0.413061i \(0.864460\pi\)
\(234\) 3.37134 0.0727031i 0.220391 0.00475275i
\(235\) 9.80845 0.639833
\(236\) −3.61841 + 6.26728i −0.235539 + 0.407965i
\(237\) −10.1348 5.70652i −0.658323 0.370678i
\(238\) −14.1712 24.5452i −0.918582 1.59103i
\(239\) 0.219452 + 0.380102i 0.0141952 + 0.0245868i 0.873036 0.487656i \(-0.162148\pi\)
−0.858841 + 0.512243i \(0.828815\pi\)
\(240\) −0.0370550 3.43698i −0.00239189 0.221856i
\(241\) 0.473845 0.820723i 0.0305230 0.0528674i −0.850360 0.526201i \(-0.823616\pi\)
0.880883 + 0.473333i \(0.156949\pi\)
\(242\) 8.08480 0.519710
\(243\) −0.839878 15.5658i −0.0538782 0.998548i
\(244\) −7.27571 −0.465779
\(245\) 3.82930 6.63255i 0.244645 0.423738i
\(246\) −0.241004 22.3540i −0.0153659 1.42524i
\(247\) −0.152057 0.263370i −0.00967513 0.0167578i
\(248\) −12.1694 21.0780i −0.772759 1.33846i
\(249\) 13.4707 + 7.58488i 0.853672 + 0.480672i
\(250\) −0.562020 + 0.973448i −0.0355453 + 0.0615662i
\(251\) −11.1351 −0.702843 −0.351421 0.936217i \(-0.614302\pi\)
−0.351421 + 0.936217i \(0.614302\pi\)
\(252\) −8.45783 + 0.182394i −0.532793 + 0.0114897i
\(253\) 11.7449 0.738396
\(254\) 5.25391 9.10004i 0.329660 0.570988i
\(255\) 9.81663 5.80963i 0.614741 0.363813i
\(256\) 7.49259 + 12.9775i 0.468287 + 0.811096i
\(257\) −1.12637 1.95094i −0.0702612 0.121696i 0.828755 0.559612i \(-0.189050\pi\)
−0.899016 + 0.437916i \(0.855717\pi\)
\(258\) 10.2637 6.07420i 0.638989 0.378163i
\(259\) −16.3572 + 28.3316i −1.01639 + 1.76044i
\(260\) 0.736533 0.0456778
\(261\) 1.09174 1.98878i 0.0675771 0.123102i
\(262\) −0.795958 −0.0491745
\(263\) −8.59225 + 14.8822i −0.529821 + 0.917677i 0.469574 + 0.882893i \(0.344408\pi\)
−0.999395 + 0.0347835i \(0.988926\pi\)
\(264\) 9.05851 + 5.10052i 0.557513 + 0.313915i
\(265\) 0.240479 + 0.416522i 0.0147725 + 0.0255867i
\(266\) −0.654385 1.13343i −0.0401229 0.0694950i
\(267\) −0.122026 11.3183i −0.00746788 0.692671i
\(268\) −0.593338 + 1.02769i −0.0362439 + 0.0627763i
\(269\) −4.35353 −0.265439 −0.132720 0.991154i \(-0.542371\pi\)
−0.132720 + 0.991154i \(0.542371\pi\)
\(270\) 0.188870 + 5.83763i 0.0114943 + 0.355267i
\(271\) 27.0019 1.64025 0.820126 0.572184i \(-0.193904\pi\)
0.820126 + 0.572184i \(0.193904\pi\)
\(272\) 6.53460 11.3183i 0.396218 0.686270i
\(273\) 0.0714911 + 6.63104i 0.00432684 + 0.401329i
\(274\) 2.48308 + 4.30082i 0.150008 + 0.259822i
\(275\) −0.975625 1.68983i −0.0588324 0.101901i
\(276\) −6.69098 3.76745i −0.402750 0.226774i
\(277\) 1.57986 2.73641i 0.0949249 0.164415i −0.814652 0.579950i \(-0.803072\pi\)
0.909577 + 0.415535i \(0.136406\pi\)
\(278\) 6.00750 0.360306
\(279\) 12.3093 + 20.2968i 0.736939 + 1.21514i
\(280\) 11.7768 0.703801
\(281\) 6.20464 10.7468i 0.370138 0.641098i −0.619448 0.785037i \(-0.712644\pi\)
0.989587 + 0.143939i \(0.0459770\pi\)
\(282\) −16.4338 + 9.72575i −0.978616 + 0.579160i
\(283\) −4.11524 7.12780i −0.244625 0.423704i 0.717401 0.696661i \(-0.245332\pi\)
−0.962026 + 0.272957i \(0.911998\pi\)
\(284\) −3.92747 6.80258i −0.233053 0.403659i
\(285\) 0.453304 0.268272i 0.0268514 0.0158911i
\(286\) 1.09664 1.89944i 0.0648458 0.112316i
\(287\) 43.9626 2.59503
\(288\) −6.10030 10.0588i −0.359463 0.592718i
\(289\) 26.3727 1.55133
\(290\) −0.425024 + 0.736164i −0.0249583 + 0.0432290i
\(291\) −0.773732 0.435661i −0.0453570 0.0255389i
\(292\) −3.77988 6.54695i −0.221201 0.383131i
\(293\) −8.73941 15.1371i −0.510562 0.884319i −0.999925 0.0122387i \(-0.996104\pi\)
0.489364 0.872080i \(-0.337229\pi\)
\(294\) 0.160745 + 14.9096i 0.00937484 + 0.869548i
\(295\) −4.91277 + 8.50916i −0.286032 + 0.495423i
\(296\) −26.2831 −1.52767
\(297\) −8.93997 4.78291i −0.518750 0.277533i
\(298\) −2.24196 −0.129873
\(299\) −3.00958 + 5.21275i −0.174049 + 0.301461i
\(300\) 0.0137530 + 1.27564i 0.000794030 + 0.0736490i
\(301\) 11.7269 + 20.3116i 0.675927 + 1.17074i
\(302\) 4.06279 + 7.03697i 0.233788 + 0.404932i
\(303\) 13.3004 + 7.48898i 0.764088 + 0.430231i
\(304\) 0.301749 0.522645i 0.0173065 0.0299758i
\(305\) −9.87832 −0.565631
\(306\) −10.6868 + 19.4677i −0.610924 + 1.11289i
\(307\) −19.8767 −1.13442 −0.567211 0.823573i \(-0.691978\pi\)
−0.567211 + 0.823573i \(0.691978\pi\)
\(308\) −2.75120 + 4.76521i −0.156764 + 0.271523i
\(309\) −4.47882 + 2.65063i −0.254791 + 0.150789i
\(310\) −4.44702 7.70246i −0.252574 0.437471i
\(311\) 4.25073 + 7.36249i 0.241037 + 0.417488i 0.961010 0.276514i \(-0.0891792\pi\)
−0.719973 + 0.694002i \(0.755846\pi\)
\(312\) −4.58497 + 2.71346i −0.259573 + 0.153619i
\(313\) −12.1968 + 21.1255i −0.689406 + 1.19409i 0.282624 + 0.959231i \(0.408795\pi\)
−0.972030 + 0.234856i \(0.924538\pi\)
\(314\) −5.22791 −0.295028
\(315\) −11.4833 + 0.247638i −0.647011 + 0.0139528i
\(316\) 4.94589 0.278228
\(317\) 8.74202 15.1416i 0.491001 0.850438i −0.508946 0.860799i \(-0.669965\pi\)
0.999946 + 0.0103606i \(0.00329795\pi\)
\(318\) −0.815924 0.459418i −0.0457547 0.0257629i
\(319\) −0.737811 1.27793i −0.0413095 0.0715501i
\(320\) 4.18833 + 7.25440i 0.234135 + 0.405533i
\(321\) −0.268111 24.8682i −0.0149645 1.38801i
\(322\) −12.9519 + 22.4334i −0.721784 + 1.25017i
\(323\) 2.00283 0.111440
\(324\) 3.55880 + 5.59248i 0.197711 + 0.310694i
\(325\) 1.00000 0.0554700
\(326\) 9.62964 16.6790i 0.533337 0.923766i
\(327\) −0.300468 27.8694i −0.0166159 1.54118i
\(328\) 17.6600 + 30.5880i 0.975109 + 1.68894i
\(329\) −18.7766 32.5220i −1.03519 1.79300i
\(330\) 3.31021 + 1.86386i 0.182221 + 0.102602i
\(331\) 10.7092 18.5489i 0.588632 1.01954i −0.405780 0.913971i \(-0.633000\pi\)
0.994412 0.105570i \(-0.0336667\pi\)
\(332\) −6.57389 −0.360789
\(333\) 25.6279 0.552668i 1.40440 0.0302860i
\(334\) −4.70366 −0.257373
\(335\) −0.805583 + 1.39531i −0.0440137 + 0.0762340i
\(336\) −11.3251 + 6.70236i −0.617834 + 0.365644i
\(337\) −3.94760 6.83744i −0.215039 0.372459i 0.738245 0.674532i \(-0.235655\pi\)
−0.953285 + 0.302073i \(0.902321\pi\)
\(338\) 0.562020 + 0.973448i 0.0305699 + 0.0529486i
\(339\) 19.2660 11.4019i 1.04638 0.619267i
\(340\) −2.42533 + 4.20079i −0.131532 + 0.227820i
\(341\) 15.4394 0.836090
\(342\) −0.493486 + 0.898963i −0.0266847 + 0.0486104i
\(343\) −2.52158 −0.136153
\(344\) −9.42149 + 16.3185i −0.507972 + 0.879834i
\(345\) −9.08443 5.11511i −0.489089 0.275389i
\(346\) 12.6525 + 21.9148i 0.680204 + 1.17815i
\(347\) 0.881063 + 1.52605i 0.0472979 + 0.0819224i 0.888705 0.458479i \(-0.151606\pi\)
−0.841407 + 0.540402i \(0.818272\pi\)
\(348\) 0.0104006 + 0.964693i 0.000557532 + 0.0517130i
\(349\) 10.3864 17.9898i 0.555972 0.962973i −0.441855 0.897087i \(-0.645679\pi\)
0.997827 0.0658859i \(-0.0209873\pi\)
\(350\) 4.30356 0.230035
\(351\) 4.41363 2.74223i 0.235582 0.146370i
\(352\) −7.65152 −0.407827
\(353\) 6.50407 11.2654i 0.346177 0.599595i −0.639390 0.768882i \(-0.720813\pi\)
0.985567 + 0.169287i \(0.0541465\pi\)
\(354\) −0.206226 19.1282i −0.0109608 1.01665i
\(355\) −5.33238 9.23595i −0.283013 0.490193i
\(356\) 2.40663 + 4.16841i 0.127551 + 0.220925i
\(357\) −38.0553 21.4276i −2.01410 1.13407i
\(358\) −10.5617 + 18.2934i −0.558205 + 0.966839i
\(359\) 17.8285 0.940953 0.470476 0.882413i \(-0.344082\pi\)
0.470476 + 0.882413i \(0.344082\pi\)
\(360\) −4.78519 7.89028i −0.252202 0.415854i
\(361\) −18.9075 −0.995132
\(362\) −6.46342 + 11.1950i −0.339710 + 0.588395i
\(363\) 10.7212 6.34494i 0.562714 0.333023i
\(364\) −1.40997 2.44213i −0.0739023 0.128002i
\(365\) −5.13199 8.88887i −0.268621 0.465265i
\(366\) 16.5508 9.79503i 0.865125 0.511994i
\(367\) −15.5309 + 26.9002i −0.810705 + 1.40418i 0.101667 + 0.994818i \(0.467582\pi\)
−0.912372 + 0.409363i \(0.865751\pi\)
\(368\) −11.9448 −0.622664
\(369\) −17.8630 29.4542i −0.929909 1.53332i
\(370\) −9.60452 −0.499315
\(371\) 0.920711 1.59472i 0.0478009 0.0827936i
\(372\) −8.79569 4.95254i −0.456035 0.256777i
\(373\) 8.04771 + 13.9390i 0.416695 + 0.721736i 0.995605 0.0936553i \(-0.0298551\pi\)
−0.578910 + 0.815391i \(0.696522\pi\)
\(374\) 7.22226 + 12.5093i 0.373454 + 0.646842i
\(375\) 0.0186726 + 1.73195i 0.000964251 + 0.0894375i
\(376\) 15.0853 26.1285i 0.777964 1.34747i
\(377\) 0.756244 0.0389485
\(378\) 18.9944 11.8014i 0.976964 0.606998i
\(379\) 0.329371 0.0169186 0.00845931 0.999964i \(-0.497307\pi\)
0.00845931 + 0.999964i \(0.497307\pi\)
\(380\) −0.111995 + 0.193980i −0.00574521 + 0.00995099i
\(381\) −0.174557 16.1907i −0.00894281 0.829476i
\(382\) −1.70153 2.94713i −0.0870578 0.150788i
\(383\) 0.225667 + 0.390866i 0.0115310 + 0.0199723i 0.871733 0.489981i \(-0.162996\pi\)
−0.860202 + 0.509953i \(0.829663\pi\)
\(384\) −2.37407 1.33676i −0.121151 0.0682160i
\(385\) −3.73533 + 6.46979i −0.190370 + 0.329731i
\(386\) −26.5815 −1.35296
\(387\) 8.84351 16.1099i 0.449541 0.818910i
\(388\) 0.377591 0.0191693
\(389\) −3.49719 + 6.05730i −0.177314 + 0.307117i −0.940960 0.338518i \(-0.890074\pi\)
0.763645 + 0.645636i \(0.223408\pi\)
\(390\) −1.67547 + 0.991568i −0.0848406 + 0.0502100i
\(391\) −19.8205 34.3301i −1.00237 1.73615i
\(392\) −11.7788 20.4015i −0.594921 1.03043i
\(393\) −1.05551 + 0.624667i −0.0532435 + 0.0315103i
\(394\) 5.11814 8.86488i 0.257848 0.446606i
\(395\) 6.71510 0.337873
\(396\) 4.31048 0.0929557i 0.216610 0.00467120i
\(397\) −22.5639 −1.13245 −0.566224 0.824251i \(-0.691596\pi\)
−0.566224 + 0.824251i \(0.691596\pi\)
\(398\) −11.5452 + 19.9969i −0.578708 + 1.00235i
\(399\) −1.75729 0.989465i −0.0879744 0.0495352i
\(400\) 0.992227 + 1.71859i 0.0496113 + 0.0859294i
\(401\) −15.0330 26.0379i −0.750711 1.30027i −0.947478 0.319820i \(-0.896378\pi\)
0.196767 0.980450i \(-0.436956\pi\)
\(402\) −0.0338164 3.13659i −0.00168661 0.156439i
\(403\) −3.95628 + 6.85248i −0.197076 + 0.341346i
\(404\) −6.49076 −0.322928
\(405\) 4.83183 + 7.59299i 0.240095 + 0.377299i
\(406\) 3.25454 0.161520
\(407\) 8.33636 14.4390i 0.413218 0.715715i
\(408\) −0.378265 35.0854i −0.0187269 1.73699i
\(409\) 18.0148 + 31.2025i 0.890773 + 1.54286i 0.838950 + 0.544208i \(0.183170\pi\)
0.0518226 + 0.998656i \(0.483497\pi\)
\(410\) 6.45341 + 11.1776i 0.318711 + 0.552024i
\(411\) 6.66806 + 3.75455i 0.328911 + 0.185198i
\(412\) 1.10655 1.91660i 0.0545158 0.0944242i
\(413\) 37.6186 1.85109
\(414\) 20.2927 0.437612i 0.997329 0.0215075i
\(415\) −8.92545 −0.438133
\(416\) 1.96067 3.39598i 0.0961298 0.166502i
\(417\) 7.96647 4.71468i 0.390120 0.230879i
\(418\) 0.333503 + 0.577645i 0.0163122 + 0.0282535i
\(419\) 1.15719 + 2.00431i 0.0565325 + 0.0979172i 0.892907 0.450242i \(-0.148662\pi\)
−0.836374 + 0.548159i \(0.815329\pi\)
\(420\) 4.20332 2.48759i 0.205101 0.121382i
\(421\) −2.08544 + 3.61209i −0.101638 + 0.176042i −0.912360 0.409389i \(-0.865742\pi\)
0.810722 + 0.585432i \(0.199075\pi\)
\(422\) −13.5181 −0.658051
\(423\) −14.1598 + 25.7944i −0.688475 + 1.25417i
\(424\) 1.47941 0.0718466
\(425\) −3.29290 + 5.70346i −0.159729 + 0.276659i
\(426\) 18.0923 + 10.1871i 0.876575 + 0.493568i
\(427\) 18.9103 + 32.7537i 0.915136 + 1.58506i
\(428\) 5.28776 + 9.15866i 0.255593 + 0.442701i
\(429\) −0.0364350 3.37947i −0.00175910 0.163162i
\(430\) −3.44286 + 5.96320i −0.166029 + 0.287571i
\(431\) −9.57882 −0.461396 −0.230698 0.973025i \(-0.574101\pi\)
−0.230698 + 0.973025i \(0.574101\pi\)
\(432\) 9.09209 + 4.86430i 0.437444 + 0.234034i
\(433\) 24.5710 1.18081 0.590403 0.807109i \(-0.298969\pi\)
0.590403 + 0.807109i \(0.298969\pi\)
\(434\) −17.0261 + 29.4901i −0.817279 + 1.41557i
\(435\) 0.0141211 + 1.30978i 0.000677053 + 0.0627990i
\(436\) 5.92591 + 10.2640i 0.283800 + 0.491555i
\(437\) −0.915254 1.58527i −0.0437826 0.0758336i
\(438\) 17.4124 + 9.80430i 0.831997 + 0.468468i
\(439\) −5.90780 + 10.2326i −0.281964 + 0.488376i −0.971868 0.235525i \(-0.924319\pi\)
0.689905 + 0.723900i \(0.257652\pi\)
\(440\) −6.00200 −0.286134
\(441\) 11.9142 + 19.6453i 0.567345 + 0.935492i
\(442\) −7.40270 −0.352111
\(443\) 18.1834 31.4945i 0.863918 1.49635i −0.00419998 0.999991i \(-0.501337\pi\)
0.868118 0.496358i \(-0.165330\pi\)
\(444\) −9.38080 + 5.55170i −0.445193 + 0.263472i
\(445\) 3.26751 + 5.65950i 0.154895 + 0.268286i
\(446\) 1.73029 + 2.99696i 0.0819318 + 0.141910i
\(447\) −2.97303 + 1.75948i −0.140619 + 0.0832208i
\(448\) 16.0357 27.7746i 0.757614 1.31223i
\(449\) −6.02318 −0.284251 −0.142126 0.989849i \(-0.545394\pi\)
−0.142126 + 0.989849i \(0.545394\pi\)
\(450\) −1.74863 2.88331i −0.0824313 0.135921i
\(451\) −22.4053 −1.05502
\(452\) −4.75991 + 8.24441i −0.223888 + 0.387785i
\(453\) 10.9102 + 6.14316i 0.512607 + 0.288631i
\(454\) −1.88772 3.26963i −0.0885951 0.153451i
\(455\) −1.91433 3.31571i −0.0897451 0.155443i
\(456\) −0.0174672 1.62014i −0.000817977 0.0758701i
\(457\) 15.5330 26.9040i 0.726605 1.25852i −0.231705 0.972786i \(-0.574430\pi\)
0.958310 0.285730i \(-0.0922362\pi\)
\(458\) −31.9899 −1.49479
\(459\) 1.10660 + 34.2029i 0.0516515 + 1.59645i
\(460\) 4.43332 0.206704
\(461\) 18.6546 32.3108i 0.868833 1.50486i 0.00564260 0.999984i \(-0.498204\pi\)
0.863190 0.504879i \(-0.168463\pi\)
\(462\) −0.156800 14.5438i −0.00729501 0.676637i
\(463\) −16.8901 29.2545i −0.784950 1.35957i −0.929029 0.370007i \(-0.879355\pi\)
0.144079 0.989566i \(-0.453978\pi\)
\(464\) 0.750365 + 1.29967i 0.0348348 + 0.0603357i
\(465\) −11.9420 6.72413i −0.553798 0.311824i
\(466\) −15.6256 + 27.0643i −0.723842 + 1.25373i
\(467\) 23.2695 1.07678 0.538391 0.842695i \(-0.319032\pi\)
0.538391 + 0.842695i \(0.319032\pi\)
\(468\) −1.06329 + 1.93694i −0.0491504 + 0.0895352i
\(469\) 6.16860 0.284839
\(470\) 5.51255 9.54802i 0.254275 0.440417i
\(471\) −6.93267 + 4.10286i −0.319440 + 0.189050i
\(472\) 15.1115 + 26.1740i 0.695565 + 1.20475i
\(473\) −5.97654 10.3517i −0.274802 0.475970i
\(474\) −11.2509 + 6.65847i −0.516772 + 0.305834i
\(475\) −0.152057 + 0.263370i −0.00697684 + 0.0120842i
\(476\) 18.5715 0.851223
\(477\) −1.44254 + 0.0311084i −0.0660493 + 0.00142436i
\(478\) 0.493346 0.0225651
\(479\) −7.81727 + 13.5399i −0.357180 + 0.618654i −0.987489 0.157691i \(-0.949595\pi\)
0.630308 + 0.776345i \(0.282928\pi\)
\(480\) 5.91828 + 3.33237i 0.270131 + 0.152101i
\(481\) 4.27232 + 7.39987i 0.194801 + 0.337405i
\(482\) −0.532621 0.922526i −0.0242602 0.0420199i
\(483\) 0.430317 + 39.9134i 0.0195801 + 1.81612i
\(484\) −2.64880 + 4.58786i −0.120400 + 0.208539i
\(485\) 0.512660 0.0232787
\(486\) −15.6245 7.93073i −0.708743 0.359745i
\(487\) 20.7305 0.939388 0.469694 0.882829i \(-0.344364\pi\)
0.469694 + 0.882829i \(0.344364\pi\)
\(488\) −15.1927 + 26.3146i −0.687742 + 1.19120i
\(489\) −0.319936 29.6752i −0.0144680 1.34196i
\(490\) −4.30429 7.45525i −0.194448 0.336794i
\(491\) 2.17786 + 3.77216i 0.0982854 + 0.170235i 0.910975 0.412461i \(-0.135331\pi\)
−0.812690 + 0.582697i \(0.801998\pi\)
\(492\) 12.7641 + 7.18701i 0.575450 + 0.324015i
\(493\) −2.49023 + 4.31321i −0.112154 + 0.194257i
\(494\) −0.341836 −0.0153799
\(495\) 5.85239 0.126207i 0.263045 0.00567259i
\(496\) −15.7021 −0.705046
\(497\) −20.4158 + 35.3613i −0.915776 + 1.58617i
\(498\) 14.9543 8.85019i 0.670118 0.396586i
\(499\) −6.15484 10.6605i −0.275529 0.477229i 0.694740 0.719261i \(-0.255520\pi\)
−0.970268 + 0.242032i \(0.922186\pi\)
\(500\) −0.368266 0.637856i −0.0164694 0.0285258i
\(501\) −6.23746 + 3.69143i −0.278669 + 0.164921i
\(502\) −6.25816 + 10.8395i −0.279316 + 0.483789i
\(503\) 5.53638 0.246855 0.123428 0.992354i \(-0.460611\pi\)
0.123428 + 0.992354i \(0.460611\pi\)
\(504\) −17.0015 + 30.9709i −0.757306 + 1.37955i
\(505\) −8.81259 −0.392155
\(506\) 6.60088 11.4331i 0.293445 0.508261i
\(507\) 1.50925 + 0.849804i 0.0670281 + 0.0377411i
\(508\) 3.44265 + 5.96285i 0.152743 + 0.264559i
\(509\) −16.8782 29.2339i −0.748112 1.29577i −0.948726 0.316098i \(-0.897627\pi\)
0.200614 0.979670i \(-0.435706\pi\)
\(510\) −0.138228 12.8211i −0.00612083 0.567728i
\(511\) −19.6486 + 34.0324i −0.869204 + 1.50551i
\(512\) 19.9900 0.883440
\(513\) 0.0510994 + 1.57939i 0.00225610 + 0.0697319i
\(514\) −2.53218 −0.111690
\(515\) 1.50238 2.60219i 0.0662027 0.114666i
\(516\) 0.0842489 + 7.81438i 0.00370885 + 0.344009i
\(517\) 9.56938 + 16.5746i 0.420861 + 0.728952i
\(518\) 18.3862 + 31.8458i 0.807843 + 1.39923i
\(519\) 33.9771 + 19.1313i 1.49143 + 0.839770i
\(520\) 1.53799 2.66387i 0.0674452 0.116818i
\(521\) 2.51785 0.110309 0.0551544 0.998478i \(-0.482435\pi\)
0.0551544 + 0.998478i \(0.482435\pi\)
\(522\) −1.32239 2.18049i −0.0578795 0.0954373i
\(523\) 30.1042 1.31637 0.658183 0.752858i \(-0.271325\pi\)
0.658183 + 0.752858i \(0.271325\pi\)
\(524\) 0.260778 0.451680i 0.0113921 0.0197317i
\(525\) 5.70690 3.37743i 0.249070 0.147403i
\(526\) 9.65804 + 16.7282i 0.421110 + 0.729385i
\(527\) −26.0552 45.1290i −1.13498 1.96585i
\(528\) 5.77176 3.41582i 0.251184 0.148654i
\(529\) −6.61520 + 11.4579i −0.287617 + 0.498168i
\(530\) 0.540616 0.0234829
\(531\) −15.2853 25.2038i −0.663323 1.09375i
\(532\) 0.857578 0.0371807
\(533\) 5.74126 9.94416i 0.248682 0.430729i
\(534\) −11.0864 6.24235i −0.479755 0.270133i
\(535\) 7.17925 + 12.4348i 0.310386 + 0.537605i
\(536\) 2.47795 + 4.29194i 0.107031 + 0.185384i
\(537\) 0.350904 + 32.5476i 0.0151426 + 1.40453i
\(538\) −2.44677 + 4.23793i −0.105488 + 0.182710i
\(539\) 14.9439 0.643678
\(540\) −3.37454 1.80539i −0.145217 0.0776916i
\(541\) −27.6914 −1.19054 −0.595272 0.803524i \(-0.702956\pi\)
−0.595272 + 0.803524i \(0.702956\pi\)
\(542\) 15.1756 26.2850i 0.651849 1.12904i
\(543\) 0.214742 + 19.9180i 0.00921545 + 0.854764i
\(544\) 12.9126 + 22.3652i 0.553622 + 0.958901i
\(545\) 8.04568 + 13.9355i 0.344639 + 0.596933i
\(546\) 6.49515 + 3.65719i 0.277967 + 0.156513i
\(547\) −1.77794 + 3.07948i −0.0760191 + 0.131669i −0.901529 0.432719i \(-0.857554\pi\)
0.825510 + 0.564388i \(0.190888\pi\)
\(548\) −3.25410 −0.139008
\(549\) 14.2607 25.9781i 0.608632 1.10872i
\(550\) −2.19329 −0.0935220
\(551\) −0.114992 + 0.199172i −0.00489882 + 0.00848500i
\(552\) −27.5977 + 16.3328i −1.17464 + 0.695169i
\(553\) −12.8549 22.2653i −0.546646 0.946818i
\(554\) −1.77583 3.07583i −0.0754479 0.130680i
\(555\) −12.7364 + 7.53762i −0.540632 + 0.319954i
\(556\) −1.96822 + 3.40906i −0.0834711 + 0.144576i
\(557\) 18.6002 0.788114 0.394057 0.919086i \(-0.371071\pi\)
0.394057 + 0.919086i \(0.371071\pi\)
\(558\) 26.6759 0.575268i 1.12928 0.0243530i
\(559\) 6.12586 0.259096
\(560\) 3.79890 6.57988i 0.160533 0.278051i
\(561\) 19.3947 + 10.9204i 0.818843 + 0.461061i
\(562\) −6.97427 12.0798i −0.294192 0.509555i
\(563\) 1.88299 + 3.26143i 0.0793584 + 0.137453i 0.902973 0.429697i \(-0.141380\pi\)
−0.823615 + 0.567149i \(0.808046\pi\)
\(564\) −0.134896 12.5120i −0.00568014 0.526852i
\(565\) −6.46260 + 11.1935i −0.271883 + 0.470916i
\(566\) −9.25138 −0.388865
\(567\) 15.9265 30.5564i 0.668849 1.28325i
\(568\) −32.8045 −1.37645
\(569\) −4.90097 + 8.48873i −0.205459 + 0.355866i −0.950279 0.311400i \(-0.899202\pi\)
0.744820 + 0.667266i \(0.232536\pi\)
\(570\) −0.00638297 0.592042i −0.000267353 0.0247979i
\(571\) −15.6655 27.1334i −0.655579 1.13550i −0.981748 0.190185i \(-0.939091\pi\)
0.326169 0.945311i \(-0.394242\pi\)
\(572\) 0.718580 + 1.24462i 0.0300453 + 0.0520401i
\(573\) −4.56928 2.57280i −0.190885 0.107480i
\(574\) 24.7079 42.7953i 1.03129 1.78624i
\(575\) 6.01917 0.251017
\(576\) −25.1241 + 0.541803i −1.04684 + 0.0225751i
\(577\) 19.2387 0.800919 0.400459 0.916315i \(-0.368851\pi\)
0.400459 + 0.916315i \(0.368851\pi\)
\(578\) 14.8220 25.6724i 0.616513 1.06783i
\(579\) −35.2493 + 20.8611i −1.46491 + 0.866958i
\(580\) −0.278499 0.482375i −0.0115641 0.0200295i
\(581\) 17.0862 + 29.5942i 0.708856 + 1.22778i
\(582\) −0.858946 + 0.508338i −0.0356045 + 0.0210713i
\(583\) −0.469234 + 0.812738i −0.0194337 + 0.0336602i
\(584\) −31.5717 −1.30645
\(585\) −1.44364 + 2.62981i −0.0596870 + 0.108729i
\(586\) −19.6469 −0.811606
\(587\) −8.13403 + 14.0886i −0.335727 + 0.581497i −0.983624 0.180231i \(-0.942315\pi\)
0.647897 + 0.761728i \(0.275649\pi\)
\(588\) −8.51340 4.79359i −0.351087 0.197684i
\(589\) −1.20316 2.08393i −0.0495752 0.0858668i
\(590\) 5.52215 + 9.56464i 0.227343 + 0.393770i
\(591\) −0.170046 15.7723i −0.00699474 0.648786i
\(592\) −8.47822 + 14.6847i −0.348453 + 0.603538i
\(593\) 8.99873 0.369534 0.184767 0.982782i \(-0.440847\pi\)
0.184767 + 0.982782i \(0.440847\pi\)
\(594\) −9.68036 + 6.01450i −0.397190 + 0.246778i
\(595\) 25.2147 1.03370
\(596\) 0.734526 1.27224i 0.0300874 0.0521128i
\(597\) 0.383579 + 35.5783i 0.0156988 + 1.45612i
\(598\) 3.38290 + 5.85935i 0.138337 + 0.239606i
\(599\) 1.67069 + 2.89371i 0.0682624 + 0.118234i 0.898136 0.439717i \(-0.144921\pi\)
−0.829874 + 0.557951i \(0.811588\pi\)
\(600\) 4.64241 + 2.61398i 0.189526 + 0.106715i
\(601\) 2.08140 3.60509i 0.0849020 0.147055i −0.820447 0.571722i \(-0.806276\pi\)
0.905349 + 0.424667i \(0.139609\pi\)
\(602\) 26.3630 1.07448
\(603\) −2.50644 4.13285i −0.102070 0.168303i
\(604\) −5.32433 −0.216644
\(605\) −3.59631 + 6.22899i −0.146211 + 0.253245i
\(606\) 14.7652 8.73828i 0.599796 0.354969i
\(607\) −15.1943 26.3173i −0.616717 1.06819i −0.990081 0.140501i \(-0.955129\pi\)
0.373363 0.927685i \(-0.378205\pi\)
\(608\) 0.596266 + 1.03276i 0.0241818 + 0.0418841i
\(609\) 4.31581 2.55416i 0.174886 0.103500i
\(610\) −5.55182 + 9.61603i −0.224786 + 0.389342i
\(611\) −9.80845 −0.396808
\(612\) −7.54600 12.4426i −0.305029 0.502961i
\(613\) 37.1560 1.50072 0.750358 0.661031i \(-0.229881\pi\)
0.750358 + 0.661031i \(0.229881\pi\)
\(614\) −11.1711 + 19.3489i −0.450829 + 0.780858i
\(615\) 17.3300 + 9.75790i 0.698813 + 0.393476i
\(616\) 11.4898 + 19.9009i 0.462937 + 0.801830i
\(617\) 3.12464 + 5.41204i 0.125793 + 0.217880i 0.922043 0.387088i \(-0.126519\pi\)
−0.796249 + 0.604968i \(0.793186\pi\)
\(618\) 0.0630662 + 5.84960i 0.00253689 + 0.235306i
\(619\) −16.1132 + 27.9088i −0.647642 + 1.12175i 0.336042 + 0.941847i \(0.390911\pi\)
−0.983684 + 0.179902i \(0.942422\pi\)
\(620\) 5.82786 0.234053
\(621\) 26.5664 16.5060i 1.06607 0.662362i
\(622\) 9.55599 0.383160
\(623\) 12.5102 21.6683i 0.501210 0.868121i
\(624\) 0.0370550 + 3.43698i 0.00148339 + 0.137589i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 13.7097 + 23.7460i 0.547951 + 0.949080i
\(627\) 0.895590 + 0.504275i 0.0357664 + 0.0201388i
\(628\) 1.71281 2.96667i 0.0683484 0.118383i
\(629\) −56.2732 −2.24376
\(630\) −6.21278 + 11.3176i −0.247523 + 0.450903i
\(631\) 15.5600 0.619435 0.309717 0.950829i \(-0.399766\pi\)
0.309717 + 0.950829i \(0.399766\pi\)
\(632\) 10.3277 17.8882i 0.410815 0.711553i
\(633\) −17.9262 + 10.6090i −0.712503 + 0.421670i
\(634\) −9.82638 17.0198i −0.390255 0.675942i
\(635\) 4.67413 + 8.09583i 0.185487 + 0.321273i
\(636\) 0.528023 0.312492i 0.0209375 0.0123911i
\(637\) −3.82930 + 6.63255i −0.151723 + 0.262791i
\(638\) −1.65866 −0.0656669
\(639\) 31.9868 0.689798i 1.26538 0.0272880i
\(640\) 1.57302 0.0621789
\(641\) 8.86882 15.3612i 0.350297 0.606733i −0.636004 0.771686i \(-0.719414\pi\)
0.986301 + 0.164953i \(0.0527472\pi\)
\(642\) −24.3586 13.7155i −0.961357 0.541306i
\(643\) −2.81241 4.87124i −0.110911 0.192103i 0.805227 0.592967i \(-0.202043\pi\)
−0.916138 + 0.400864i \(0.868710\pi\)
\(644\) −8.48682 14.6996i −0.334428 0.579246i
\(645\) 0.114386 + 10.6097i 0.00450394 + 0.417756i
\(646\) 1.12563 1.94965i 0.0442873 0.0767078i
\(647\) 28.5003 1.12046 0.560231 0.828337i \(-0.310713\pi\)
0.560231 + 0.828337i \(0.310713\pi\)
\(648\) 27.6580 1.19345i 1.08651 0.0468831i
\(649\) −19.1721 −0.752570
\(650\) 0.562020 0.973448i 0.0220442 0.0381818i
\(651\) 0.565678 + 52.4685i 0.0221707 + 2.05640i
\(652\) 6.30987 + 10.9290i 0.247113 + 0.428013i
\(653\) 11.4654 + 19.8587i 0.448677 + 0.777131i 0.998300 0.0582816i \(-0.0185621\pi\)
−0.549623 + 0.835413i \(0.685229\pi\)
\(654\) −27.2983 15.3707i −1.06745 0.601042i
\(655\) 0.354061 0.613252i 0.0138343 0.0239617i
\(656\) 22.7865 0.889665
\(657\) 30.7848 0.663876i 1.20103 0.0259003i
\(658\) −42.2113 −1.64557
\(659\) −13.7179 + 23.7601i −0.534373 + 0.925561i 0.464820 + 0.885405i \(0.346119\pi\)
−0.999193 + 0.0401563i \(0.987214\pi\)
\(660\) −2.14220 + 1.26779i −0.0833849 + 0.0493485i
\(661\) −6.08409 10.5379i −0.236643 0.409879i 0.723106 0.690738i \(-0.242714\pi\)
−0.959749 + 0.280859i \(0.909381\pi\)
\(662\) −12.0376 20.8497i −0.467855 0.810348i
\(663\) −9.81663 + 5.80963i −0.381246 + 0.225627i
\(664\) −13.7272 + 23.7762i −0.532720 + 0.922697i
\(665\) 1.16434 0.0451514
\(666\) 13.8654 25.2581i 0.537275 0.978731i
\(667\) 4.55196 0.176253
\(668\) 1.54105 2.66917i 0.0596249 0.103273i
\(669\) 4.64653 + 2.61630i 0.179645 + 0.101152i
\(670\) 0.905508 + 1.56839i 0.0349828 + 0.0605920i
\(671\) −9.63754 16.6927i −0.372053 0.644415i
\(672\) −0.280341 26.0026i −0.0108144 1.00307i
\(673\) 16.7910 29.0828i 0.647244 1.12106i −0.336534 0.941671i \(-0.609255\pi\)
0.983778 0.179388i \(-0.0574118\pi\)
\(674\) −8.87452 −0.341834
\(675\) −4.58166 2.45120i −0.176348 0.0943468i
\(676\) −0.736533 −0.0283282
\(677\) −11.0078 + 19.0660i −0.423063 + 0.732766i −0.996237 0.0866673i \(-0.972378\pi\)
0.573175 + 0.819433i \(0.305712\pi\)
\(678\) −0.271284 25.1625i −0.0104186 0.966361i
\(679\) −0.981400 1.69984i −0.0376627 0.0652337i
\(680\) 10.1289 + 17.5437i 0.388424 + 0.672771i
\(681\) −5.06929 2.85433i −0.194255 0.109378i
\(682\) 8.67725 15.0294i 0.332269 0.575507i
\(683\) 33.7088 1.28983 0.644915 0.764254i \(-0.276893\pi\)
0.644915 + 0.764254i \(0.276893\pi\)
\(684\) −0.348453 0.574562i −0.0133234 0.0219689i
\(685\) −4.41813 −0.168808
\(686\) −1.41718 + 2.45463i −0.0541082 + 0.0937182i
\(687\) −42.4214 + 25.1056i −1.61848 + 0.957840i
\(688\) 6.07824 + 10.5278i 0.231731 + 0.401369i
\(689\) −0.240479 0.416522i −0.00916151 0.0158682i
\(690\) −10.0849 + 5.96842i −0.383927 + 0.227214i
\(691\) 11.2006 19.4000i 0.426091 0.738012i −0.570430 0.821346i \(-0.693224\pi\)
0.996522 + 0.0833343i \(0.0265569\pi\)
\(692\) −16.5812 −0.630324
\(693\) −11.6219 19.1633i −0.441478 0.727952i
\(694\) 1.98070 0.0751863
\(695\) −2.67228 + 4.62852i −0.101365 + 0.175570i
\(696\) 3.51079 + 1.97680i 0.133076 + 0.0749305i
\(697\) 37.8108 + 65.4902i 1.43219 + 2.48062i
\(698\) −11.6748 20.2213i −0.441896 0.765387i
\(699\) 0.519147 + 48.1527i 0.0196359 + 1.82130i
\(700\) −1.40997 + 2.44213i −0.0532917 + 0.0923039i
\(701\) 19.7517 0.746010 0.373005 0.927829i \(-0.378327\pi\)
0.373005 + 0.927829i \(0.378327\pi\)
\(702\) −0.188870 5.83763i −0.00712844 0.220327i
\(703\) −2.59854 −0.0980057
\(704\) −8.17248 + 14.1551i −0.308012 + 0.533492i
\(705\) −0.183150 16.9878i −0.00689782 0.639796i
\(706\) −7.31083 12.6627i −0.275147 0.476568i
\(707\) 16.8702 + 29.2200i 0.634469 + 1.09893i
\(708\) 10.9222 + 6.14989i 0.410481 + 0.231127i
\(709\) 0.664817 1.15150i 0.0249677 0.0432454i −0.853272 0.521467i \(-0.825385\pi\)
0.878239 + 0.478221i \(0.158718\pi\)
\(710\) −11.9876 −0.449887
\(711\) −9.69416 + 17.6594i −0.363559 + 0.662281i
\(712\) 20.1016 0.753338
\(713\) −23.8135 + 41.2462i −0.891823 + 1.54468i
\(714\) −42.2465 + 25.0021i −1.58104 + 0.935681i
\(715\) 0.975625 + 1.68983i 0.0364863 + 0.0631962i
\(716\) −6.92062 11.9869i −0.258636 0.447970i
\(717\) 0.654221 0.387178i 0.0244323 0.0144594i
\(718\) 10.0200 17.3551i 0.373943 0.647687i
\(719\) −17.8818 −0.666878 −0.333439 0.942772i \(-0.608209\pi\)
−0.333439 + 0.942772i \(0.608209\pi\)
\(720\) −5.95198 + 0.128355i −0.221817 + 0.00478350i
\(721\) −11.5042 −0.428438
\(722\) −10.6264 + 18.4055i −0.395474 + 0.684981i
\(723\) −1.43030 0.805351i −0.0531934 0.0299513i
\(724\) −4.23519 7.33556i −0.157400 0.272624i
\(725\) −0.378122 0.654926i −0.0140431 0.0243234i
\(726\) −0.150964 14.0025i −0.00560282 0.519680i
\(727\) −8.00408 + 13.8635i −0.296855 + 0.514168i −0.975415 0.220377i \(-0.929271\pi\)
0.678560 + 0.734545i \(0.262604\pi\)
\(728\) −11.7768 −0.436479
\(729\) −26.9435 + 1.74528i −0.997909 + 0.0646401i
\(730\) −11.5371 −0.427009
\(731\) −20.1718 + 34.9386i −0.746081 + 1.29225i
\(732\) 0.135857 + 12.6012i 0.00502140 + 0.465752i
\(733\) 1.12473 + 1.94809i 0.0415428 + 0.0719542i 0.886049 0.463591i \(-0.153439\pi\)
−0.844506 + 0.535545i \(0.820106\pi\)
\(734\) 17.4573 + 30.2370i 0.644362 + 1.11607i
\(735\) −11.5587 6.50832i −0.426351 0.240063i
\(736\) 11.8016 20.4410i 0.435013 0.753465i
\(737\) −3.14379 −0.115803
\(738\) −38.7115 + 0.834815i −1.42499 + 0.0307300i
\(739\) 7.65597 0.281629 0.140815 0.990036i \(-0.455028\pi\)
0.140815 + 0.990036i \(0.455028\pi\)
\(740\) 3.14670 5.45025i 0.115675 0.200355i
\(741\) −0.453304 + 0.268272i −0.0166525 + 0.00985523i
\(742\) −1.03492 1.79253i −0.0379930 0.0658057i
\(743\) −8.10475 14.0378i −0.297334 0.514998i 0.678191 0.734886i \(-0.262764\pi\)
−0.975525 + 0.219888i \(0.929431\pi\)
\(744\) −36.2789 + 21.4704i −1.33005 + 0.787143i
\(745\) 0.997275 1.72733i 0.0365373 0.0632845i
\(746\) 18.0919 0.662392
\(747\) 12.8851 23.4723i 0.471441 0.858805i
\(748\) −9.46484 −0.346069
\(749\) 27.4869 47.6087i 1.00435 1.73958i
\(750\) 1.69646 + 0.955214i 0.0619459 + 0.0348795i
\(751\) −22.7237 39.3586i −0.829199 1.43621i −0.898668 0.438630i \(-0.855464\pi\)
0.0694692 0.997584i \(-0.477869\pi\)
\(752\) −9.73221 16.8567i −0.354897 0.614700i
\(753\) 0.207922 + 19.2855i 0.00757710 + 0.702802i
\(754\) 0.425024 0.736164i 0.0154785 0.0268095i
\(755\) −7.22891 −0.263087
\(756\) 0.473826 + 14.6451i 0.0172329 + 0.532638i
\(757\) 44.1058 1.60305 0.801527 0.597959i \(-0.204021\pi\)
0.801527 + 0.597959i \(0.204021\pi\)
\(758\) 0.185113 0.320625i 0.00672360 0.0116456i
\(759\) −0.219308 20.3416i −0.00796039 0.738353i
\(760\) 0.467722 + 0.810119i 0.0169661 + 0.0293861i
\(761\) −8.95332 15.5076i −0.324558 0.562150i 0.656865 0.754008i \(-0.271882\pi\)
−0.981423 + 0.191858i \(0.938549\pi\)
\(762\) −15.8589 8.92959i −0.574508 0.323485i
\(763\) 30.8042 53.3544i 1.11519 1.93156i
\(764\) 2.22987 0.0806738
\(765\) −10.2453 16.8934i −0.370419 0.610783i
\(766\) 0.507317 0.0183301
\(767\) 4.91277 8.50916i 0.177390 0.307248i
\(768\) 22.3365 13.2191i 0.806001 0.477004i
\(769\) 5.79221 + 10.0324i 0.208873 + 0.361778i 0.951360 0.308083i \(-0.0996873\pi\)
−0.742487 + 0.669860i \(0.766354\pi\)
\(770\) 4.19867 + 7.27231i 0.151309 + 0.262076i
\(771\) −3.35789 + 1.98725i −0.120932 + 0.0715691i
\(772\) 8.70881 15.0841i 0.313437 0.542889i
\(773\) −52.7091 −1.89582 −0.947908 0.318544i \(-0.896806\pi\)
−0.947908 + 0.318544i \(0.896806\pi\)
\(774\) −10.7119 17.6628i −0.385030 0.634875i