Properties

Label 731.2.k.a.35.10
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.10
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.277295 + 1.21491i) q^{2} +(-0.676534 - 2.96409i) q^{3} +(0.402822 + 0.193989i) q^{4} +(-0.276528 + 0.346755i) q^{5} +3.78870 q^{6} +2.21699 q^{7} +(-1.90131 + 2.38417i) q^{8} +(-5.62522 + 2.70896i) q^{9} +O(q^{10})\) \(q+(-0.277295 + 1.21491i) q^{2} +(-0.676534 - 2.96409i) q^{3} +(0.402822 + 0.193989i) q^{4} +(-0.276528 + 0.346755i) q^{5} +3.78870 q^{6} +2.21699 q^{7} +(-1.90131 + 2.38417i) q^{8} +(-5.62522 + 2.70896i) q^{9} +(-0.344596 - 0.432110i) q^{10} +(-4.65416 + 2.24133i) q^{11} +(0.302477 - 1.32524i) q^{12} +(-3.07046 + 3.85024i) q^{13} +(-0.614761 + 2.69344i) q^{14} +(1.21489 + 0.585062i) q^{15} +(-1.81180 - 2.27193i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-1.73130 - 7.58532i) q^{18} +(-1.86854 - 0.899841i) q^{19} +(-0.178658 + 0.0860372i) q^{20} +(-1.49987 - 6.57135i) q^{21} +(-1.43243 - 6.27590i) q^{22} +(-3.99949 + 1.92605i) q^{23} +(8.35318 + 4.02268i) q^{24} +(1.06883 + 4.68286i) q^{25} +(-3.82627 - 4.79800i) q^{26} +(6.14844 + 7.70990i) q^{27} +(0.893052 + 0.430071i) q^{28} +(1.22477 - 5.36607i) q^{29} +(-1.04768 + 1.31375i) q^{30} +(-0.130720 + 0.572724i) q^{31} +(-2.23235 + 1.07504i) q^{32} +(9.79219 + 12.2790i) q^{33} +(-1.12275 + 0.540686i) q^{34} +(-0.613059 + 0.768752i) q^{35} -2.79147 q^{36} +11.0297 q^{37} +(1.61136 - 2.02059i) q^{38} +(13.4897 + 6.49631i) q^{39} +(-0.300957 - 1.31858i) q^{40} +(-1.64337 + 7.20006i) q^{41} +8.39951 q^{42} +(-4.49806 - 4.77153i) q^{43} -2.30959 q^{44} +(0.616184 - 2.69968i) q^{45} +(-1.23094 - 5.39312i) q^{46} +(-7.49734 - 3.61053i) q^{47} +(-5.50845 + 6.90738i) q^{48} -2.08496 q^{49} -5.98565 q^{50} +(1.89561 - 2.37701i) q^{51} +(-1.98375 + 0.955326i) q^{52} +(3.02740 + 3.79624i) q^{53} +(-11.0718 + 5.33189i) q^{54} +(0.509814 - 2.23364i) q^{55} +(-4.21518 + 5.28567i) q^{56} +(-1.40308 + 6.14729i) q^{57} +(6.17968 + 2.97597i) q^{58} +(-0.749226 - 0.939499i) q^{59} +(0.375890 + 0.471351i) q^{60} +(0.754914 + 3.30750i) q^{61} +(-0.659560 - 0.317627i) q^{62} +(-12.4710 + 6.00574i) q^{63} +(-1.98031 - 8.67630i) q^{64} +(-0.486021 - 2.12940i) q^{65} +(-17.6332 + 8.49172i) q^{66} +(5.42664 + 2.61333i) q^{67} +(0.0994888 + 0.435889i) q^{68} +(8.41479 + 10.5518i) q^{69} +(-0.763966 - 0.957984i) q^{70} +(-2.70012 - 1.30031i) q^{71} +(4.23666 - 18.5620i) q^{72} +(-0.921673 + 1.15574i) q^{73} +(-3.05847 + 13.4000i) q^{74} +(13.1573 - 6.33623i) q^{75} +(-0.578130 - 0.724952i) q^{76} +(-10.3182 + 4.96899i) q^{77} +(-11.6331 + 14.5874i) q^{78} +7.97874 q^{79} +1.28882 q^{80} +(7.01489 - 8.79639i) q^{81} +(-8.29174 - 3.99309i) q^{82} +(1.17638 + 5.15406i) q^{83} +(0.670589 - 2.93804i) q^{84} -0.443516 q^{85} +(7.04427 - 4.14161i) q^{86} -16.7341 q^{87} +(3.50531 - 15.3577i) q^{88} +(1.71467 + 7.51244i) q^{89} +(3.10900 + 1.49722i) q^{90} +(-6.80718 + 8.53594i) q^{91} -1.98472 q^{92} +1.78604 q^{93} +(6.46545 - 8.10742i) q^{94} +(0.828728 - 0.399094i) q^{95} +(4.69678 + 5.88958i) q^{96} +(-17.0998 + 8.23482i) q^{97} +(0.578151 - 2.53304i) q^{98} +(20.1090 - 25.2159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.277295 + 1.21491i −0.196078 + 0.859072i 0.777166 + 0.629296i \(0.216657\pi\)
−0.973244 + 0.229776i \(0.926201\pi\)
\(3\) −0.676534 2.96409i −0.390597 1.71132i −0.662559 0.749010i \(-0.730530\pi\)
0.271962 0.962308i \(-0.412328\pi\)
\(4\) 0.402822 + 0.193989i 0.201411 + 0.0969944i
\(5\) −0.276528 + 0.346755i −0.123667 + 0.155074i −0.839811 0.542879i \(-0.817334\pi\)
0.716144 + 0.697953i \(0.245906\pi\)
\(6\) 3.78870 1.54673
\(7\) 2.21699 0.837943 0.418971 0.907999i \(-0.362391\pi\)
0.418971 + 0.907999i \(0.362391\pi\)
\(8\) −1.90131 + 2.38417i −0.672214 + 0.842930i
\(9\) −5.62522 + 2.70896i −1.87507 + 0.902988i
\(10\) −0.344596 0.432110i −0.108971 0.136645i
\(11\) −4.65416 + 2.24133i −1.40328 + 0.675785i −0.973824 0.227302i \(-0.927010\pi\)
−0.429458 + 0.903087i \(0.641295\pi\)
\(12\) 0.302477 1.32524i 0.0873177 0.382564i
\(13\) −3.07046 + 3.85024i −0.851594 + 1.06786i 0.145322 + 0.989384i \(0.453578\pi\)
−0.996916 + 0.0784802i \(0.974993\pi\)
\(14\) −0.614761 + 2.69344i −0.164302 + 0.719853i
\(15\) 1.21489 + 0.585062i 0.313684 + 0.151062i
\(16\) −1.81180 2.27193i −0.452951 0.567982i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) −1.73130 7.58532i −0.408071 1.78788i
\(19\) −1.86854 0.899841i −0.428672 0.206438i 0.207091 0.978322i \(-0.433600\pi\)
−0.635763 + 0.771884i \(0.719315\pi\)
\(20\) −0.178658 + 0.0860372i −0.0399492 + 0.0192385i
\(21\) −1.49987 6.57135i −0.327298 1.43399i
\(22\) −1.43243 6.27590i −0.305396 1.33803i
\(23\) −3.99949 + 1.92605i −0.833952 + 0.401610i −0.801596 0.597866i \(-0.796015\pi\)
−0.0323562 + 0.999476i \(0.510301\pi\)
\(24\) 8.35318 + 4.02268i 1.70509 + 0.821126i
\(25\) 1.06883 + 4.68286i 0.213767 + 0.936573i
\(26\) −3.82627 4.79800i −0.750394 0.940964i
\(27\) 6.14844 + 7.70990i 1.18327 + 1.48377i
\(28\) 0.893052 + 0.430071i 0.168771 + 0.0812758i
\(29\) 1.22477 5.36607i 0.227434 0.996454i −0.724289 0.689497i \(-0.757832\pi\)
0.951723 0.306958i \(-0.0993111\pi\)
\(30\) −1.04768 + 1.31375i −0.191280 + 0.239857i
\(31\) −0.130720 + 0.572724i −0.0234781 + 0.102864i −0.985309 0.170779i \(-0.945372\pi\)
0.961831 + 0.273643i \(0.0882287\pi\)
\(32\) −2.23235 + 1.07504i −0.394627 + 0.190042i
\(33\) 9.79219 + 12.2790i 1.70460 + 2.13750i
\(34\) −1.12275 + 0.540686i −0.192549 + 0.0927269i
\(35\) −0.613059 + 0.768752i −0.103626 + 0.129943i
\(36\) −2.79147 −0.465245
\(37\) 11.0297 1.81326 0.906632 0.421922i \(-0.138644\pi\)
0.906632 + 0.421922i \(0.138644\pi\)
\(38\) 1.61136 2.02059i 0.261398 0.327782i
\(39\) 13.4897 + 6.49631i 2.16009 + 1.04024i
\(40\) −0.300957 1.31858i −0.0475854 0.208485i
\(41\) −1.64337 + 7.20006i −0.256651 + 1.12446i 0.668155 + 0.744022i \(0.267084\pi\)
−0.924806 + 0.380439i \(0.875773\pi\)
\(42\) 8.39951 1.29607
\(43\) −4.49806 4.77153i −0.685947 0.727651i
\(44\) −2.30959 −0.348184
\(45\) 0.616184 2.69968i 0.0918552 0.402444i
\(46\) −1.23094 5.39312i −0.181493 0.795171i
\(47\) −7.49734 3.61053i −1.09360 0.526650i −0.201959 0.979394i \(-0.564731\pi\)
−0.891640 + 0.452744i \(0.850445\pi\)
\(48\) −5.50845 + 6.90738i −0.795077 + 0.996994i
\(49\) −2.08496 −0.297852
\(50\) −5.98565 −0.846498
\(51\) 1.89561 2.37701i 0.265438 0.332849i
\(52\) −1.98375 + 0.955326i −0.275097 + 0.132480i
\(53\) 3.02740 + 3.79624i 0.415845 + 0.521453i 0.944999 0.327072i \(-0.106062\pi\)
−0.529154 + 0.848526i \(0.677491\pi\)
\(54\) −11.0718 + 5.33189i −1.50668 + 0.725578i
\(55\) 0.509814 2.23364i 0.0687433 0.301184i
\(56\) −4.21518 + 5.28567i −0.563277 + 0.706327i
\(57\) −1.40308 + 6.14729i −0.185842 + 0.814229i
\(58\) 6.17968 + 2.97597i 0.811431 + 0.390765i
\(59\) −0.749226 0.939499i −0.0975409 0.122312i 0.730665 0.682736i \(-0.239210\pi\)
−0.828206 + 0.560423i \(0.810638\pi\)
\(60\) 0.375890 + 0.471351i 0.0485272 + 0.0608512i
\(61\) 0.754914 + 3.30750i 0.0966569 + 0.423481i 0.999985 0.00546867i \(-0.00174074\pi\)
−0.903328 + 0.428950i \(0.858884\pi\)
\(62\) −0.659560 0.317627i −0.0837642 0.0403387i
\(63\) −12.4710 + 6.00574i −1.57120 + 0.756652i
\(64\) −1.98031 8.67630i −0.247539 1.08454i
\(65\) −0.486021 2.12940i −0.0602835 0.264119i
\(66\) −17.6332 + 8.49172i −2.17050 + 1.04526i
\(67\) 5.42664 + 2.61333i 0.662970 + 0.319269i 0.734935 0.678138i \(-0.237213\pi\)
−0.0719652 + 0.997407i \(0.522927\pi\)
\(68\) 0.0994888 + 0.435889i 0.0120648 + 0.0528593i
\(69\) 8.41479 + 10.5518i 1.01302 + 1.27029i
\(70\) −0.763966 0.957984i −0.0913114 0.114501i
\(71\) −2.70012 1.30031i −0.320445 0.154318i 0.266745 0.963767i \(-0.414052\pi\)
−0.587191 + 0.809449i \(0.699766\pi\)
\(72\) 4.23666 18.5620i 0.499296 2.18756i
\(73\) −0.921673 + 1.15574i −0.107874 + 0.135269i −0.832837 0.553518i \(-0.813285\pi\)
0.724964 + 0.688787i \(0.241857\pi\)
\(74\) −3.05847 + 13.4000i −0.355540 + 1.55772i
\(75\) 13.1573 6.33623i 1.51928 0.731645i
\(76\) −0.578130 0.724952i −0.0663160 0.0831577i
\(77\) −10.3182 + 4.96899i −1.17587 + 0.566269i
\(78\) −11.6331 + 14.5874i −1.31719 + 1.65170i
\(79\) 7.97874 0.897678 0.448839 0.893613i \(-0.351838\pi\)
0.448839 + 0.893613i \(0.351838\pi\)
\(80\) 1.28882 0.144094
\(81\) 7.01489 8.79639i 0.779432 0.977377i
\(82\) −8.29174 3.99309i −0.915669 0.440963i
\(83\) 1.17638 + 5.15406i 0.129125 + 0.565732i 0.997553 + 0.0699169i \(0.0222734\pi\)
−0.868428 + 0.495815i \(0.834869\pi\)
\(84\) 0.670589 2.93804i 0.0731673 0.320567i
\(85\) −0.443516 −0.0481061
\(86\) 7.04427 4.14161i 0.759604 0.446602i
\(87\) −16.7341 −1.79409
\(88\) 3.50531 15.3577i 0.373667 1.63714i
\(89\) 1.71467 + 7.51244i 0.181754 + 0.796317i 0.980795 + 0.195041i \(0.0624839\pi\)
−0.799041 + 0.601277i \(0.794659\pi\)
\(90\) 3.10900 + 1.49722i 0.327718 + 0.157820i
\(91\) −6.80718 + 8.53594i −0.713587 + 0.894810i
\(92\) −1.98472 −0.206921
\(93\) 1.78604 0.185204
\(94\) 6.46545 8.10742i 0.666860 0.836216i
\(95\) 0.828728 0.399094i 0.0850257 0.0409462i
\(96\) 4.69678 + 5.88958i 0.479363 + 0.601102i
\(97\) −17.0998 + 8.23482i −1.73622 + 0.836120i −0.752002 + 0.659161i \(0.770912\pi\)
−0.984218 + 0.176959i \(0.943374\pi\)
\(98\) 0.578151 2.53304i 0.0584020 0.255876i
\(99\) 20.1090 25.2159i 2.02103 2.53429i
\(100\) −0.477874 + 2.09370i −0.0477874 + 0.209370i
\(101\) 9.11385 + 4.38900i 0.906862 + 0.436722i 0.828363 0.560192i \(-0.189273\pi\)
0.0784996 + 0.996914i \(0.474987\pi\)
\(102\) 2.36222 + 2.96213i 0.233894 + 0.293294i
\(103\) −4.57951 5.74253i −0.451233 0.565828i 0.503232 0.864151i \(-0.332144\pi\)
−0.954465 + 0.298323i \(0.903573\pi\)
\(104\) −3.34171 14.6410i −0.327682 1.43567i
\(105\) 2.69340 + 1.29708i 0.262849 + 0.126582i
\(106\) −5.45157 + 2.62534i −0.529504 + 0.254995i
\(107\) −3.12221 13.6793i −0.301835 1.32243i −0.867354 0.497691i \(-0.834181\pi\)
0.565519 0.824735i \(-0.308676\pi\)
\(108\) 0.981093 + 4.29845i 0.0944057 + 0.413618i
\(109\) 16.4275 7.91107i 1.57347 0.757744i 0.575285 0.817953i \(-0.304891\pi\)
0.998186 + 0.0602096i \(0.0191769\pi\)
\(110\) 2.57231 + 1.23876i 0.245260 + 0.118111i
\(111\) −7.46194 32.6929i −0.708256 3.10307i
\(112\) −4.01674 5.03684i −0.379547 0.475937i
\(113\) −0.134504 0.168663i −0.0126531 0.0158665i 0.775465 0.631391i \(-0.217516\pi\)
−0.788118 + 0.615524i \(0.788944\pi\)
\(114\) −7.07934 3.40923i −0.663041 0.319304i
\(115\) 0.438102 1.91945i 0.0408533 0.178990i
\(116\) 1.53432 1.92398i 0.142458 0.178637i
\(117\) 6.84188 29.9762i 0.632532 2.77130i
\(118\) 1.34917 0.649724i 0.124201 0.0598119i
\(119\) 1.38227 + 1.73331i 0.126712 + 0.158892i
\(120\) −3.70477 + 1.78412i −0.338198 + 0.162868i
\(121\) 9.77928 12.2628i 0.889026 1.11480i
\(122\) −4.22765 −0.382753
\(123\) 22.4534 2.02456
\(124\) −0.163759 + 0.205347i −0.0147060 + 0.0184407i
\(125\) −3.91734 1.88649i −0.350378 0.168733i
\(126\) −3.83827 16.8166i −0.341941 1.49814i
\(127\) 0.810250 3.54994i 0.0718981 0.315006i −0.926172 0.377101i \(-0.876921\pi\)
0.998070 + 0.0620948i \(0.0197781\pi\)
\(128\) 6.13463 0.542230
\(129\) −11.1002 + 16.5607i −0.977314 + 1.45809i
\(130\) 2.72180 0.238718
\(131\) −0.756603 + 3.31489i −0.0661047 + 0.289624i −0.997165 0.0752407i \(-0.976027\pi\)
0.931061 + 0.364864i \(0.118885\pi\)
\(132\) 1.56252 + 6.84583i 0.136000 + 0.595853i
\(133\) −4.14253 1.99494i −0.359203 0.172983i
\(134\) −4.67975 + 5.86822i −0.404269 + 0.506937i
\(135\) −4.37366 −0.376425
\(136\) −3.04946 −0.261489
\(137\) −3.69550 + 4.63401i −0.315728 + 0.395910i −0.914220 0.405219i \(-0.867195\pi\)
0.598492 + 0.801129i \(0.295767\pi\)
\(138\) −15.1529 + 7.29725i −1.28990 + 0.621183i
\(139\) 11.5728 + 14.5118i 0.981593 + 1.23088i 0.972974 + 0.230916i \(0.0741722\pi\)
0.00861931 + 0.999963i \(0.497256\pi\)
\(140\) −0.396083 + 0.190743i −0.0334751 + 0.0161208i
\(141\) −5.62972 + 24.6654i −0.474108 + 2.07720i
\(142\) 2.32849 2.91984i 0.195403 0.245027i
\(143\) 5.66079 24.8016i 0.473379 2.07401i
\(144\) 16.3464 + 7.87199i 1.36220 + 0.655999i
\(145\) 1.52203 + 1.90856i 0.126398 + 0.158498i
\(146\) −1.14855 1.44023i −0.0950545 0.119195i
\(147\) 1.41055 + 6.18001i 0.116340 + 0.509719i
\(148\) 4.44299 + 2.13963i 0.365211 + 0.175877i
\(149\) 16.1514 7.77811i 1.32318 0.637208i 0.367060 0.930197i \(-0.380365\pi\)
0.956116 + 0.292990i \(0.0946502\pi\)
\(150\) 4.04949 + 17.7420i 0.330640 + 1.44863i
\(151\) −1.97859 8.66878i −0.161016 0.705455i −0.989390 0.145281i \(-0.953591\pi\)
0.828375 0.560174i \(-0.189266\pi\)
\(152\) 5.69804 2.74403i 0.462172 0.222570i
\(153\) −5.62522 2.70896i −0.454772 0.219007i
\(154\) −3.17569 13.9136i −0.255904 1.12119i
\(155\) −0.162447 0.203702i −0.0130480 0.0163617i
\(156\) 4.17375 + 5.23371i 0.334167 + 0.419033i
\(157\) −18.1633 8.74696i −1.44959 0.698084i −0.467062 0.884224i \(-0.654688\pi\)
−0.982523 + 0.186141i \(0.940402\pi\)
\(158\) −2.21247 + 9.69345i −0.176014 + 0.771170i
\(159\) 9.20425 11.5418i 0.729944 0.915321i
\(160\) 0.244530 1.07136i 0.0193318 0.0846982i
\(161\) −8.86683 + 4.27004i −0.698804 + 0.336526i
\(162\) 8.74164 + 10.9617i 0.686808 + 0.861230i
\(163\) 4.79581 2.30954i 0.375637 0.180897i −0.236533 0.971623i \(-0.576011\pi\)
0.612170 + 0.790726i \(0.290297\pi\)
\(164\) −2.05872 + 2.58155i −0.160759 + 0.201585i
\(165\) −6.96562 −0.542273
\(166\) −6.58793 −0.511323
\(167\) −8.62638 + 10.8171i −0.667529 + 0.837055i −0.994140 0.108104i \(-0.965522\pi\)
0.326611 + 0.945159i \(0.394093\pi\)
\(168\) 18.5189 + 8.91824i 1.42876 + 0.688057i
\(169\) −2.50383 10.9700i −0.192602 0.843846i
\(170\) 0.122985 0.538833i 0.00943252 0.0413266i
\(171\) 12.9486 0.990203
\(172\) −0.886292 2.79465i −0.0675792 0.213090i
\(173\) −3.66348 −0.278529 −0.139265 0.990255i \(-0.544474\pi\)
−0.139265 + 0.990255i \(0.544474\pi\)
\(174\) 4.64029 20.3305i 0.351780 1.54125i
\(175\) 2.36959 + 10.3819i 0.179124 + 0.784795i
\(176\) 13.5246 + 6.51308i 1.01945 + 0.490942i
\(177\) −2.27788 + 2.85638i −0.171216 + 0.214698i
\(178\) −9.60242 −0.719731
\(179\) −4.99107 −0.373050 −0.186525 0.982450i \(-0.559723\pi\)
−0.186525 + 0.982450i \(0.559723\pi\)
\(180\) 0.771919 0.967956i 0.0575355 0.0721472i
\(181\) −10.2181 + 4.92078i −0.759506 + 0.365759i −0.773212 0.634147i \(-0.781351\pi\)
0.0137061 + 0.999906i \(0.495637\pi\)
\(182\) −8.48280 10.6371i −0.628787 0.788474i
\(183\) 9.29299 4.47527i 0.686957 0.330821i
\(184\) 3.01224 13.1975i 0.222065 0.972932i
\(185\) −3.05001 + 3.82459i −0.224241 + 0.281189i
\(186\) −0.495261 + 2.16988i −0.0363143 + 0.159103i
\(187\) −4.65416 2.24133i −0.340346 0.163902i
\(188\) −2.31969 2.90880i −0.169181 0.212146i
\(189\) 13.6310 + 17.0928i 0.991511 + 1.24332i
\(190\) 0.255061 + 1.11750i 0.0185041 + 0.0810718i
\(191\) −14.5079 6.98663i −1.04975 0.505535i −0.172225 0.985058i \(-0.555095\pi\)
−0.877529 + 0.479523i \(0.840810\pi\)
\(192\) −24.3776 + 11.7396i −1.75930 + 0.847235i
\(193\) 6.09415 + 26.7002i 0.438666 + 1.92192i 0.383764 + 0.923431i \(0.374628\pi\)
0.0549021 + 0.998492i \(0.482515\pi\)
\(194\) −5.26288 23.0582i −0.377853 1.65548i
\(195\) −5.98291 + 2.88122i −0.428445 + 0.206328i
\(196\) −0.839869 0.404459i −0.0599906 0.0288900i
\(197\) −2.78796 12.2148i −0.198634 0.870271i −0.971751 0.236008i \(-0.924161\pi\)
0.773117 0.634263i \(-0.218696\pi\)
\(198\) 25.0589 + 31.4229i 1.78086 + 2.23313i
\(199\) 17.4039 + 21.8238i 1.23373 + 1.54705i 0.730525 + 0.682886i \(0.239275\pi\)
0.503207 + 0.864166i \(0.332153\pi\)
\(200\) −13.1969 6.35530i −0.933163 0.449387i
\(201\) 4.07484 17.8531i 0.287417 1.25926i
\(202\) −7.85947 + 9.85547i −0.552991 + 0.693428i
\(203\) 2.71530 11.8965i 0.190577 0.834972i
\(204\) 1.22471 0.589787i 0.0857466 0.0412934i
\(205\) −2.04222 2.56086i −0.142635 0.178858i
\(206\) 8.24654 3.97132i 0.574564 0.276695i
\(207\) 17.2804 21.6690i 1.20107 1.50610i
\(208\) 14.3105 0.992258
\(209\) 10.7133 0.741056
\(210\) −2.32270 + 2.91257i −0.160281 + 0.200987i
\(211\) −2.90011 1.39662i −0.199652 0.0961473i 0.331386 0.943495i \(-0.392484\pi\)
−0.531038 + 0.847348i \(0.678198\pi\)
\(212\) 0.483075 + 2.11649i 0.0331777 + 0.145361i
\(213\) −2.02751 + 8.88311i −0.138923 + 0.608660i
\(214\) 17.4849 1.19524
\(215\) 2.89839 0.240262i 0.197669 0.0163858i
\(216\) −30.0718 −2.04613
\(217\) −0.289806 + 1.26972i −0.0196733 + 0.0861943i
\(218\) 5.05597 + 22.1517i 0.342434 + 1.50030i
\(219\) 4.04927 + 1.95002i 0.273624 + 0.131770i
\(220\) 0.638666 0.800862i 0.0430589 0.0539941i
\(221\) −4.92464 −0.331267
\(222\) 41.7881 2.80463
\(223\) 2.62181 3.28764i 0.175569 0.220157i −0.686259 0.727357i \(-0.740748\pi\)
0.861828 + 0.507201i \(0.169320\pi\)
\(224\) −4.94909 + 2.38336i −0.330675 + 0.159245i
\(225\) −18.6981 23.4467i −1.24654 1.56311i
\(226\) 0.242208 0.116641i 0.0161114 0.00775885i
\(227\) −2.84733 + 12.4750i −0.188984 + 0.827992i 0.788170 + 0.615458i \(0.211029\pi\)
−0.977154 + 0.212534i \(0.931828\pi\)
\(228\) −1.75770 + 2.20408i −0.116406 + 0.145969i
\(229\) 0.728326 3.19101i 0.0481292 0.210868i −0.945145 0.326650i \(-0.894080\pi\)
0.993275 + 0.115782i \(0.0369374\pi\)
\(230\) 2.21048 + 1.06451i 0.145755 + 0.0701918i
\(231\) 21.7092 + 27.2224i 1.42836 + 1.79110i
\(232\) 10.4649 + 13.1226i 0.687057 + 0.861542i
\(233\) −3.51564 15.4030i −0.230317 1.00909i −0.949377 0.314138i \(-0.898285\pi\)
0.719060 0.694948i \(-0.244573\pi\)
\(234\) 34.5212 + 16.6245i 2.25672 + 1.08678i
\(235\) 3.32519 1.60133i 0.216912 0.104459i
\(236\) −0.119552 0.523793i −0.00778219 0.0340960i
\(237\) −5.39789 23.6497i −0.350630 1.53621i
\(238\) −2.48912 + 1.19870i −0.161345 + 0.0776999i
\(239\) −9.08740 4.37626i −0.587815 0.283077i 0.116241 0.993221i \(-0.462915\pi\)
−0.704056 + 0.710144i \(0.748630\pi\)
\(240\) −0.871928 3.82017i −0.0562827 0.246591i
\(241\) −4.41692 5.53864i −0.284519 0.356775i 0.618949 0.785431i \(-0.287559\pi\)
−0.903468 + 0.428656i \(0.858987\pi\)
\(242\) 12.1865 + 15.2814i 0.783378 + 0.982325i
\(243\) −4.16484 2.00568i −0.267174 0.128664i
\(244\) −0.337521 + 1.47878i −0.0216076 + 0.0946690i
\(245\) 0.576550 0.722971i 0.0368344 0.0461889i
\(246\) −6.22623 + 27.2789i −0.396970 + 1.73924i
\(247\) 9.20189 4.43140i 0.585502 0.281963i
\(248\) −1.11693 1.40058i −0.0709250 0.0889372i
\(249\) 14.4812 6.97380i 0.917711 0.441946i
\(250\) 3.37818 4.23610i 0.213655 0.267915i
\(251\) 16.9870 1.07221 0.536104 0.844152i \(-0.319895\pi\)
0.536104 + 0.844152i \(0.319895\pi\)
\(252\) −6.18866 −0.389849
\(253\) 14.2974 17.9283i 0.898868 1.12714i
\(254\) 4.08818 + 1.96876i 0.256515 + 0.123531i
\(255\) 0.300054 + 1.31462i 0.0187901 + 0.0823248i
\(256\) 2.25951 9.89958i 0.141220 0.618724i
\(257\) 18.2805 1.14031 0.570154 0.821538i \(-0.306883\pi\)
0.570154 + 0.821538i \(0.306883\pi\)
\(258\) −17.0418 18.0779i −1.06098 1.12548i
\(259\) 24.4526 1.51941
\(260\) 0.217299 0.952051i 0.0134763 0.0590437i
\(261\) 7.64688 + 33.5032i 0.473330 + 2.07380i
\(262\) −3.81750 1.83841i −0.235846 0.113577i
\(263\) −9.32524 + 11.6935i −0.575019 + 0.721051i −0.981254 0.192718i \(-0.938270\pi\)
0.406236 + 0.913768i \(0.366841\pi\)
\(264\) −47.8932 −2.94762
\(265\) −2.15352 −0.132290
\(266\) 3.57238 4.47962i 0.219036 0.274663i
\(267\) 21.1075 10.1648i 1.29176 0.622078i
\(268\) 1.67901 + 2.10542i 0.102562 + 0.128609i
\(269\) −10.7547 + 5.17917i −0.655723 + 0.315780i −0.731998 0.681307i \(-0.761412\pi\)
0.0762745 + 0.997087i \(0.475697\pi\)
\(270\) 1.21280 5.31361i 0.0738085 0.323376i
\(271\) −14.1285 + 17.7165i −0.858243 + 1.07620i 0.138071 + 0.990422i \(0.455910\pi\)
−0.996314 + 0.0857801i \(0.972662\pi\)
\(272\) 0.646625 2.83305i 0.0392074 0.171779i
\(273\) 29.9066 + 14.4022i 1.81003 + 0.871664i
\(274\) −4.60516 5.77469i −0.278208 0.348862i
\(275\) −15.4703 19.3992i −0.932897 1.16982i
\(276\) 1.34273 + 5.88288i 0.0808228 + 0.354108i
\(277\) −20.3525 9.80123i −1.22286 0.588899i −0.292754 0.956188i \(-0.594572\pi\)
−0.930107 + 0.367289i \(0.880286\pi\)
\(278\) −20.8397 + 10.0359i −1.24988 + 0.601911i
\(279\) −0.816156 3.57581i −0.0488620 0.214078i
\(280\) −0.667217 2.92327i −0.0398739 0.174699i
\(281\) 17.9904 8.66370i 1.07321 0.516833i 0.188073 0.982155i \(-0.439776\pi\)
0.885141 + 0.465322i \(0.154061\pi\)
\(282\) −28.4052 13.6792i −1.69151 0.814586i
\(283\) −6.16374 27.0051i −0.366396 1.60529i −0.736595 0.676335i \(-0.763567\pi\)
0.370198 0.928953i \(-0.379290\pi\)
\(284\) −0.835423 1.04759i −0.0495732 0.0621629i
\(285\) −1.74361 2.18642i −0.103283 0.129512i
\(286\) 28.5620 + 13.7547i 1.68890 + 0.813333i
\(287\) −3.64333 + 15.9625i −0.215059 + 0.942234i
\(288\) 9.64520 12.0947i 0.568349 0.712687i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) −2.74079 + 1.31989i −0.160945 + 0.0775068i
\(291\) 35.9773 + 45.1142i 2.10903 + 2.64464i
\(292\) −0.595471 + 0.286764i −0.0348473 + 0.0167816i
\(293\) −13.7134 + 17.1961i −0.801147 + 1.00461i 0.198553 + 0.980090i \(0.436376\pi\)
−0.999699 + 0.0245160i \(0.992196\pi\)
\(294\) −7.89931 −0.460697
\(295\) 0.532958 0.0310300
\(296\) −20.9708 + 26.2965i −1.21890 + 1.52845i
\(297\) −45.8962 22.1025i −2.66317 1.28252i
\(298\) 4.97100 + 21.7794i 0.287962 + 1.26164i
\(299\) 4.86453 21.3129i 0.281323 1.23256i
\(300\) 6.52922 0.376965
\(301\) −9.97214 10.5784i −0.574784 0.609730i
\(302\) 11.0804 0.637608
\(303\) 6.84356 29.9836i 0.393152 1.72251i
\(304\) 1.34105 + 5.87552i 0.0769145 + 0.336984i
\(305\) −1.35565 0.652844i −0.0776240 0.0373818i
\(306\) 4.85100 6.08296i 0.277313 0.347740i
\(307\) −4.48544 −0.255998 −0.127999 0.991774i \(-0.540855\pi\)
−0.127999 + 0.991774i \(0.540855\pi\)
\(308\) −5.12034 −0.291758
\(309\) −13.9232 + 17.4591i −0.792062 + 0.993214i
\(310\) 0.292526 0.140873i 0.0166143 0.00800104i
\(311\) 17.3683 + 21.7792i 0.984868 + 1.23499i 0.971979 + 0.235069i \(0.0755315\pi\)
0.0128895 + 0.999917i \(0.495897\pi\)
\(312\) −41.1364 + 19.8103i −2.32889 + 1.12154i
\(313\) 5.60721 24.5668i 0.316938 1.38860i −0.525953 0.850514i \(-0.676291\pi\)
0.842891 0.538084i \(-0.180852\pi\)
\(314\) 15.6634 19.6412i 0.883935 1.10842i
\(315\) 1.36607 5.98515i 0.0769694 0.337225i
\(316\) 3.21401 + 1.54779i 0.180802 + 0.0870698i
\(317\) 18.0179 + 22.5937i 1.01199 + 1.26899i 0.962804 + 0.270201i \(0.0870901\pi\)
0.0491824 + 0.998790i \(0.484338\pi\)
\(318\) 11.4699 + 14.3828i 0.643201 + 0.806548i
\(319\) 6.32683 + 27.7197i 0.354235 + 1.55200i
\(320\) 3.55616 + 1.71256i 0.198796 + 0.0957349i
\(321\) −38.4344 + 18.5090i −2.14520 + 1.03307i
\(322\) −2.72899 11.9565i −0.152081 0.666308i
\(323\) −0.461491 2.02192i −0.0256781 0.112503i
\(324\) 4.53215 2.18257i 0.251786 0.121254i
\(325\) −21.3120 10.2633i −1.18218 0.569306i
\(326\) 1.47603 + 6.46691i 0.0817497 + 0.358169i
\(327\) −34.5629 43.3405i −1.91133 2.39674i
\(328\) −14.0416 17.6076i −0.775317 0.972217i
\(329\) −16.6215 8.00450i −0.916374 0.441302i
\(330\) 1.93154 8.46261i 0.106328 0.465851i
\(331\) −2.15356 + 2.70048i −0.118370 + 0.148432i −0.837486 0.546459i \(-0.815976\pi\)
0.719116 + 0.694890i \(0.244547\pi\)
\(332\) −0.525958 + 2.30437i −0.0288657 + 0.126469i
\(333\) −62.0442 + 29.8789i −3.40000 + 1.63736i
\(334\) −10.7498 13.4798i −0.588203 0.737583i
\(335\) −2.40680 + 1.15906i −0.131498 + 0.0633260i
\(336\) −12.2122 + 15.3136i −0.666229 + 0.835424i
\(337\) −22.6215 −1.23227 −0.616137 0.787639i \(-0.711303\pi\)
−0.616137 + 0.787639i \(0.711303\pi\)
\(338\) 14.0219 0.762689
\(339\) −0.408935 + 0.512788i −0.0222103 + 0.0278508i
\(340\) −0.178658 0.0860372i −0.00968910 0.00466602i
\(341\) −0.675266 2.95853i −0.0365677 0.160214i
\(342\) −3.59058 + 15.7314i −0.194156 + 0.850655i
\(343\) −20.1413 −1.08753
\(344\) 19.9283 1.65196i 1.07446 0.0890677i
\(345\) −5.98582 −0.322266
\(346\) 1.01587 4.45080i 0.0546133 0.239277i
\(347\) −1.50563 6.59662i −0.0808267 0.354125i 0.918301 0.395883i \(-0.129561\pi\)
−0.999128 + 0.0417578i \(0.986704\pi\)
\(348\) −6.74087 3.24623i −0.361349 0.174016i
\(349\) 4.78377 5.99865i 0.256069 0.321101i −0.637135 0.770752i \(-0.719881\pi\)
0.893204 + 0.449652i \(0.148452\pi\)
\(350\) −13.2701 −0.709317
\(351\) −48.5636 −2.59213
\(352\) 7.98019 10.0068i 0.425345 0.533366i
\(353\) 3.78765 1.82404i 0.201596 0.0970837i −0.330362 0.943854i \(-0.607171\pi\)
0.531958 + 0.846771i \(0.321456\pi\)
\(354\) −2.83859 3.55949i −0.150870 0.189185i
\(355\) 1.19755 0.576709i 0.0635592 0.0306085i
\(356\) −0.766625 + 3.35880i −0.0406310 + 0.178016i
\(357\) 4.20254 5.26981i 0.222422 0.278908i
\(358\) 1.38400 6.06371i 0.0731468 0.320477i
\(359\) 25.4757 + 12.2684i 1.34456 + 0.647504i 0.961137 0.276071i \(-0.0890326\pi\)
0.383418 + 0.923575i \(0.374747\pi\)
\(360\) 5.26492 + 6.60200i 0.277486 + 0.347956i
\(361\) −9.16458 11.4920i −0.482346 0.604843i
\(362\) −3.14488 13.7786i −0.165291 0.724188i
\(363\) −42.9642 20.6904i −2.25503 1.08597i
\(364\) −4.39796 + 2.11795i −0.230516 + 0.111011i
\(365\) −0.145891 0.639190i −0.00763628 0.0334567i
\(366\) 2.86015 + 12.5311i 0.149502 + 0.655012i
\(367\) 15.7240 7.57229i 0.820788 0.395271i 0.0241356 0.999709i \(-0.492317\pi\)
0.796652 + 0.604438i \(0.206602\pi\)
\(368\) 11.6222 + 5.59693i 0.605846 + 0.291760i
\(369\) −10.2604 44.9537i −0.534135 2.34020i
\(370\) −3.80078 4.76603i −0.197593 0.247774i
\(371\) 6.71171 + 8.41621i 0.348454 + 0.436948i
\(372\) 0.719456 + 0.346472i 0.0373021 + 0.0179637i
\(373\) −8.31794 + 36.4433i −0.430687 + 1.88696i 0.0302762 + 0.999542i \(0.490361\pi\)
−0.460963 + 0.887419i \(0.652496\pi\)
\(374\) 4.01359 5.03288i 0.207538 0.260244i
\(375\) −2.94152 + 12.8876i −0.151899 + 0.665514i
\(376\) 22.8629 11.0102i 1.17906 0.567807i
\(377\) 16.9001 + 21.1920i 0.870397 + 1.09144i
\(378\) −24.5460 + 11.8207i −1.26251 + 0.607993i
\(379\) 12.0158 15.0674i 0.617212 0.773960i −0.370737 0.928738i \(-0.620895\pi\)
0.987949 + 0.154778i \(0.0494663\pi\)
\(380\) 0.411250 0.0210967
\(381\) −11.0705 −0.567159
\(382\) 12.5111 15.6884i 0.640124 0.802690i
\(383\) −29.6755 14.2909i −1.51635 0.730233i −0.523769 0.851860i \(-0.675475\pi\)
−0.992576 + 0.121627i \(0.961189\pi\)
\(384\) −4.15029 18.1836i −0.211793 0.927927i
\(385\) 1.13025 4.95196i 0.0576030 0.252375i
\(386\) −34.1283 −1.73708
\(387\) 38.2284 + 14.6558i 1.94326 + 0.744998i
\(388\) −8.48563 −0.430793
\(389\) −4.57710 + 20.0536i −0.232068 + 1.01676i 0.715853 + 0.698251i \(0.246038\pi\)
−0.947921 + 0.318506i \(0.896819\pi\)
\(390\) −1.84139 8.06766i −0.0932424 0.408522i
\(391\) −3.99949 1.92605i −0.202263 0.0974048i
\(392\) 3.96416 4.97090i 0.200220 0.251068i
\(393\) 10.3375 0.521458
\(394\) 15.6130 0.786573
\(395\) −2.20634 + 2.76667i −0.111013 + 0.139206i
\(396\) 12.9920 6.25660i 0.652870 0.314406i
\(397\) 8.11275 + 10.1731i 0.407167 + 0.510571i 0.942562 0.334030i \(-0.108409\pi\)
−0.535395 + 0.844602i \(0.679837\pi\)
\(398\) −31.3401 + 15.0926i −1.57094 + 0.756523i
\(399\) −3.11061 + 13.6285i −0.155725 + 0.682277i
\(400\) 8.70262 10.9127i 0.435131 0.545637i
\(401\) −2.39912 + 10.5112i −0.119806 + 0.524905i 0.879034 + 0.476759i \(0.158189\pi\)
−0.998840 + 0.0481463i \(0.984669\pi\)
\(402\) 20.5599 + 9.90114i 1.02544 + 0.493824i
\(403\) −1.80375 2.26183i −0.0898512 0.112670i
\(404\) 2.81984 + 3.53597i 0.140292 + 0.175921i
\(405\) 1.11038 + 4.86490i 0.0551753 + 0.241739i
\(406\) 13.7003 + 6.59770i 0.679933 + 0.327438i
\(407\) −51.3338 + 24.7210i −2.54452 + 1.22538i
\(408\) 2.06307 + 9.03888i 0.102137 + 0.447491i
\(409\) 3.38244 + 14.8194i 0.167251 + 0.732774i 0.987088 + 0.160177i \(0.0512066\pi\)
−0.819837 + 0.572596i \(0.805936\pi\)
\(410\) 3.67752 1.77100i 0.181620 0.0874635i
\(411\) 16.2358 + 7.81873i 0.800851 + 0.385669i
\(412\) −0.730743 3.20159i −0.0360011 0.157731i
\(413\) −1.66102 2.08286i −0.0817337 0.102491i
\(414\) 21.5341 + 27.0029i 1.05834 + 1.32712i
\(415\) −2.11250 1.01733i −0.103698 0.0499386i
\(416\) 2.71517 11.8960i 0.133122 0.583247i
\(417\) 35.1850 44.1206i 1.72302 2.16060i
\(418\) −2.97076 + 13.0157i −0.145304 + 0.636620i
\(419\) 4.77836 2.30114i 0.233438 0.112418i −0.313508 0.949585i \(-0.601504\pi\)
0.546946 + 0.837168i \(0.315790\pi\)
\(420\) 0.833344 + 1.04498i 0.0406630 + 0.0509898i
\(421\) 24.3993 11.7501i 1.18915 0.572665i 0.268587 0.963256i \(-0.413443\pi\)
0.920565 + 0.390591i \(0.127729\pi\)
\(422\) 2.50096 3.13610i 0.121745 0.152663i
\(423\) 51.9550 2.52614
\(424\) −14.8069 −0.719086
\(425\) −2.99480 + 3.75537i −0.145269 + 0.182162i
\(426\) −10.2300 4.92649i −0.495643 0.238689i
\(427\) 1.67364 + 7.33268i 0.0809929 + 0.354853i
\(428\) 1.39594 6.11599i 0.0674751 0.295628i
\(429\) −77.3437 −3.73419
\(430\) −0.511813 + 3.58791i −0.0246818 + 0.173024i
\(431\) 18.9216 0.911420 0.455710 0.890128i \(-0.349385\pi\)
0.455710 + 0.890128i \(0.349385\pi\)
\(432\) 6.37658 27.9376i 0.306794 1.34415i
\(433\) 7.16314 + 31.3837i 0.344238 + 1.50821i 0.790029 + 0.613069i \(0.210065\pi\)
−0.445791 + 0.895137i \(0.647077\pi\)
\(434\) −1.46224 0.704176i −0.0701896 0.0338015i
\(435\) 4.62745 5.80264i 0.221869 0.278215i
\(436\) 8.15203 0.390411
\(437\) 9.20636 0.440400
\(438\) −3.49195 + 4.37876i −0.166852 + 0.209225i
\(439\) 17.0092 8.19119i 0.811804 0.390944i 0.0185448 0.999828i \(-0.494097\pi\)
0.793260 + 0.608884i \(0.208382\pi\)
\(440\) 4.35606 + 5.46233i 0.207667 + 0.260406i
\(441\) 11.7284 5.64809i 0.558494 0.268956i
\(442\) 1.36558 5.98300i 0.0649541 0.284582i
\(443\) −10.0116 + 12.5542i −0.475666 + 0.596467i −0.960548 0.278113i \(-0.910291\pi\)
0.484882 + 0.874580i \(0.338863\pi\)
\(444\) 3.33622 14.6169i 0.158330 0.693689i
\(445\) −3.07913 1.48283i −0.145965 0.0702929i
\(446\) 3.26718 + 4.09691i 0.154705 + 0.193994i
\(447\) −33.9820 42.6121i −1.60729 2.01548i
\(448\) −4.39032 19.2353i −0.207423 0.908781i
\(449\) −10.4887 5.05107i −0.494990 0.238375i 0.169697 0.985496i \(-0.445721\pi\)
−0.664688 + 0.747121i \(0.731435\pi\)
\(450\) 33.6706 16.2149i 1.58725 0.764377i
\(451\) −8.48919 37.1936i −0.399740 1.75138i
\(452\) −0.0214625 0.0940334i −0.00100951 0.00442296i
\(453\) −24.3564 + 11.7294i −1.14437 + 0.551097i
\(454\) −14.3664 6.91850i −0.674249 0.324701i
\(455\) −1.07750 4.72085i −0.0505141 0.221317i
\(456\) −11.9885 15.0331i −0.561412 0.703988i
\(457\) −6.21921 7.79864i −0.290922 0.364805i 0.614795 0.788687i \(-0.289239\pi\)
−0.905718 + 0.423882i \(0.860667\pi\)
\(458\) 3.67483 + 1.76970i 0.171713 + 0.0826928i
\(459\) −2.19435 + 9.61409i −0.102424 + 0.448747i
\(460\) 0.548830 0.688211i 0.0255893 0.0320880i
\(461\) −2.06540 + 9.04910i −0.0961952 + 0.421459i −0.999979 0.00653122i \(-0.997921\pi\)
0.903783 + 0.427990i \(0.140778\pi\)
\(462\) −39.0927 + 18.8260i −1.81876 + 0.875867i
\(463\) 6.87547 + 8.62156i 0.319530 + 0.400678i 0.915493 0.402334i \(-0.131801\pi\)
−0.595963 + 0.803012i \(0.703229\pi\)
\(464\) −14.4104 + 6.93967i −0.668985 + 0.322166i
\(465\) −0.493890 + 0.619318i −0.0229036 + 0.0287202i
\(466\) 19.6882 0.912037
\(467\) 34.2840 1.58648 0.793238 0.608912i \(-0.208394\pi\)
0.793238 + 0.608912i \(0.208394\pi\)
\(468\) 8.57111 10.7478i 0.396200 0.496819i
\(469\) 12.0308 + 5.79373i 0.555531 + 0.267529i
\(470\) 1.02341 + 4.48385i 0.0472064 + 0.206825i
\(471\) −13.6387 + 59.7551i −0.628439 + 2.75337i
\(472\) 3.66443 0.168669
\(473\) 31.6292 + 12.1259i 1.45431 + 0.557548i
\(474\) 30.2291 1.38847
\(475\) 2.21668 9.71190i 0.101708 0.445612i
\(476\) 0.220566 + 0.966361i 0.0101096 + 0.0442931i
\(477\) −27.3136 13.1536i −1.25061 0.602260i
\(478\) 7.83666 9.82687i 0.358441 0.449470i
\(479\) 7.47007 0.341316 0.170658 0.985330i \(-0.445411\pi\)
0.170658 + 0.985330i \(0.445411\pi\)
\(480\) −3.34103 −0.152496
\(481\) −33.8662 + 42.4668i −1.54416 + 1.93632i
\(482\) 7.95375 3.83032i 0.362283 0.174466i
\(483\) 18.6555 + 23.3933i 0.848854 + 1.06443i
\(484\) 6.31816 3.04267i 0.287189 0.138303i
\(485\) 1.87310 8.20659i 0.0850532 0.372642i
\(486\) 3.59161 4.50374i 0.162919 0.204294i
\(487\) 0.526315 2.30594i 0.0238496 0.104492i −0.961602 0.274447i \(-0.911505\pi\)
0.985452 + 0.169955i \(0.0543623\pi\)
\(488\) −9.32095 4.48873i −0.421939 0.203195i
\(489\) −10.0902 12.6527i −0.456295 0.572176i
\(490\) 0.718471 + 0.900934i 0.0324572 + 0.0407000i
\(491\) −1.24351 5.44816i −0.0561187 0.245872i 0.939087 0.343681i \(-0.111674\pi\)
−0.995205 + 0.0978088i \(0.968817\pi\)
\(492\) 9.04473 + 4.35571i 0.407768 + 0.196371i
\(493\) 4.95900 2.38813i 0.223342 0.107556i
\(494\) 2.83211 + 12.4083i 0.127423 + 0.558275i
\(495\) 3.18304 + 13.9458i 0.143067 + 0.626817i
\(496\) 1.53803 0.740675i 0.0690594 0.0332573i
\(497\) −5.98614 2.88277i −0.268515 0.129310i
\(498\) 4.45696 + 19.5272i 0.199721 + 0.875036i
\(499\) 22.9470 + 28.7747i 1.02725 + 1.28813i 0.956841 + 0.290613i \(0.0938591\pi\)
0.0704093 + 0.997518i \(0.477569\pi\)
\(500\) −1.21203 1.51984i −0.0542037 0.0679693i
\(501\) 37.8990 + 18.2512i 1.69320 + 0.815403i
\(502\) −4.71041 + 20.6377i −0.210236 + 0.921104i
\(503\) 3.95698 4.96190i 0.176433 0.221240i −0.685750 0.727838i \(-0.740525\pi\)
0.862183 + 0.506597i \(0.169097\pi\)
\(504\) 9.39263 41.1518i 0.418381 1.83305i
\(505\) −4.04214 + 1.94659i −0.179873 + 0.0866222i
\(506\) 17.8167 + 22.3415i 0.792051 + 0.993200i
\(507\) −30.8221 + 14.8431i −1.36886 + 0.659207i
\(508\) 1.01504 1.27281i 0.0450349 0.0564720i
\(509\) 14.9156 0.661124 0.330562 0.943784i \(-0.392762\pi\)
0.330562 + 0.943784i \(0.392762\pi\)
\(510\) −1.68035 −0.0744072
\(511\) −2.04334 + 2.56227i −0.0903920 + 0.113348i
\(512\) 22.4548 + 10.8137i 0.992370 + 0.477900i
\(513\) −4.55092 19.9389i −0.200928 0.880323i
\(514\) −5.06911 + 22.2092i −0.223589 + 0.979607i
\(515\) 3.25761 0.143548
\(516\) −7.68398 + 4.51773i −0.338269 + 0.198882i
\(517\) 42.9862 1.89053
\(518\) −6.78060 + 29.7078i −0.297922 + 1.30528i
\(519\) 2.47847 + 10.8589i 0.108793 + 0.476652i
\(520\) 6.00091 + 2.88989i 0.263158 + 0.126730i
\(521\) −19.5414 + 24.5041i −0.856122 + 1.07354i 0.140390 + 0.990096i \(0.455164\pi\)
−0.996512 + 0.0834469i \(0.973407\pi\)
\(522\) −42.8238 −1.87435
\(523\) −16.7659 −0.733123 −0.366561 0.930394i \(-0.619465\pi\)
−0.366561 + 0.930394i \(0.619465\pi\)
\(524\) −0.947829 + 1.18854i −0.0414061 + 0.0519216i
\(525\) 29.1696 14.0474i 1.27307 0.613077i
\(526\) −11.6207 14.5719i −0.506686 0.635364i
\(527\) −0.529276 + 0.254886i −0.0230556 + 0.0111030i
\(528\) 10.1555 44.4943i 0.441963 1.93637i
\(529\) −2.05400 + 2.57563i −0.0893044 + 0.111984i
\(530\) 0.597162 2.61634i 0.0259391 0.113647i
\(531\) 6.75963 + 3.25527i 0.293343 + 0.141266i
\(532\) −1.28171 1.60721i −0.0555690 0.0696814i
\(533\) −22.6761 28.4349i −0.982210 1.23165i
\(534\) 6.49636 + 28.4624i 0.281125 + 1.23169i
\(535\) 5.60674 + 2.70006i 0.242400 + 0.116734i
\(536\) −16.5483 + 7.96926i −0.714779 + 0.344220i
\(537\) 3.37663 + 14.7940i 0.145712 + 0.638408i
\(538\) −3.31001 14.5021i −0.142705 0.625230i
\(539\) 9.70375 4.67308i 0.417970 0.201284i
\(540\) −1.76181 0.848442i −0.0758161 0.0365111i
\(541\) 5.57484 + 24.4250i 0.239681 + 1.05011i 0.941303 + 0.337562i \(0.109602\pi\)
−0.701622 + 0.712549i \(0.747541\pi\)
\(542\) −17.6062 22.0775i −0.756253 0.948311i
\(543\) 21.4985 + 26.9583i 0.922591 + 1.15689i
\(544\) −2.23235 1.07504i −0.0957111 0.0460921i
\(545\) −1.79946 + 7.88396i −0.0770805 + 0.337712i
\(546\) −25.7904 + 32.3401i −1.10373 + 1.38403i
\(547\) −6.51724 + 28.5539i −0.278657 + 1.22088i 0.620835 + 0.783941i \(0.286793\pi\)
−0.899493 + 0.436936i \(0.856064\pi\)
\(548\) −2.38758 + 1.14980i −0.101992 + 0.0491168i
\(549\) −13.2064 16.5604i −0.563637 0.706779i
\(550\) 27.8582 13.4158i 1.18788 0.572051i
\(551\) −7.11714 + 8.92462i −0.303201 + 0.380201i
\(552\) −41.1564 −1.75173
\(553\) 17.6888 0.752203
\(554\) 17.5513 22.0086i 0.745682 0.935055i
\(555\) 13.3999 + 6.45303i 0.568792 + 0.273916i
\(556\) 1.84665 + 8.09069i 0.0783153 + 0.343122i
\(557\) 0.719256 3.15127i 0.0304759 0.133524i −0.957401 0.288760i \(-0.906757\pi\)
0.987877 + 0.155237i \(0.0496141\pi\)
\(558\) 4.57061 0.193489
\(559\) 32.1827 2.66779i 1.36118 0.112835i
\(560\) 2.85729 0.120743
\(561\) −3.49479 + 15.3117i −0.147550 + 0.646460i
\(562\) 5.53698 + 24.2591i 0.233563 + 1.02331i
\(563\) −27.0063 13.0055i −1.13818 0.548119i −0.232717 0.972544i \(-0.574762\pi\)
−0.905463 + 0.424426i \(0.860476\pi\)
\(564\) −7.05260 + 8.84368i −0.296968 + 0.372386i
\(565\) 0.0956788 0.00402524
\(566\) 34.5180 1.45090
\(567\) 15.5519 19.5015i 0.653120 0.818986i
\(568\) 8.23392 3.96525i 0.345488 0.166378i
\(569\) −14.8428 18.6123i −0.622244 0.780269i 0.366414 0.930452i \(-0.380585\pi\)
−0.988658 + 0.150183i \(0.952014\pi\)
\(570\) 3.13980 1.51205i 0.131512 0.0633328i
\(571\) 8.13086 35.6236i 0.340266 1.49080i −0.458247 0.888825i \(-0.651522\pi\)
0.798513 0.601978i \(-0.205620\pi\)
\(572\) 7.09152 8.89248i 0.296511 0.371813i
\(573\) −10.8939 + 47.7294i −0.455100 + 1.99392i
\(574\) −18.3827 8.85263i −0.767278 0.369502i
\(575\) −13.2942 16.6705i −0.554408 0.695206i
\(576\) 34.6435 + 43.4415i 1.44348 + 1.81006i
\(577\) 7.10042 + 31.1090i 0.295594 + 1.29508i 0.876614 + 0.481194i \(0.159797\pi\)
−0.581020 + 0.813889i \(0.697346\pi\)
\(578\) −1.12275 0.540686i −0.0467001 0.0224896i
\(579\) 75.0189 36.1272i 3.11768 1.50139i
\(580\) 0.242867 + 1.06407i 0.0100845 + 0.0441830i
\(581\) 2.60802 + 11.4265i 0.108199 + 0.474051i
\(582\) −64.7860 + 31.1993i −2.68547 + 1.29325i
\(583\) −22.5986 10.8829i −0.935938 0.450724i
\(584\) −1.00309 4.39485i −0.0415084 0.181860i
\(585\) 8.50243 + 10.6617i 0.351532 + 0.440808i
\(586\) −17.0890 21.4290i −0.705942 0.885223i
\(587\) 19.3966 + 9.34089i 0.800581 + 0.385540i 0.789000 0.614393i \(-0.210599\pi\)
0.0115815 + 0.999933i \(0.496313\pi\)
\(588\) −0.630654 + 2.76308i −0.0260077 + 0.113947i
\(589\) 0.759617 0.952529i 0.0312995 0.0392483i
\(590\) −0.147787 + 0.647496i −0.00608429 + 0.0266570i
\(591\) −34.3197 + 16.5275i −1.41172 + 0.679851i
\(592\) −19.9836 25.0586i −0.821319 1.02990i
\(593\) 20.1858 9.72097i 0.828931 0.399192i 0.0292170 0.999573i \(-0.490699\pi\)
0.799714 + 0.600381i \(0.204984\pi\)
\(594\) 39.5793 49.6309i 1.62396 2.03638i
\(595\) −0.983270 −0.0403102
\(596\) 8.01501 0.328308
\(597\) 52.9135 66.3514i 2.16560 2.71558i
\(598\) 24.5444 + 11.8199i 1.00369 + 0.483353i
\(599\) 2.89853 + 12.6993i 0.118431 + 0.518878i 0.998990 + 0.0449419i \(0.0143103\pi\)
−0.880559 + 0.473937i \(0.842833\pi\)
\(600\) −9.90951 + 43.4164i −0.404554 + 1.77247i
\(601\) −15.1629 −0.618509 −0.309255 0.950979i \(-0.600080\pi\)
−0.309255 + 0.950979i \(0.600080\pi\)
\(602\) 15.6171 9.18191i 0.636504 0.374227i
\(603\) −37.6055 −1.53141
\(604\) 0.884626 3.87580i 0.0359949 0.157704i
\(605\) 1.54795 + 6.78203i 0.0629333 + 0.275729i
\(606\) 34.5297 + 16.6286i 1.40267 + 0.675492i
\(607\) 10.2015 12.7922i 0.414064 0.519220i −0.530438 0.847723i \(-0.677973\pi\)
0.944503 + 0.328503i \(0.106544\pi\)
\(608\) 5.13860 0.208398
\(609\) −37.0993 −1.50334
\(610\) 1.16906 1.46596i 0.0473339 0.0593549i
\(611\) 36.9217 17.7806i 1.49369 0.719325i
\(612\) −1.74045 2.18246i −0.0703537 0.0882207i
\(613\) −16.8353 + 8.10746i −0.679972 + 0.327457i −0.741792 0.670630i \(-0.766024\pi\)
0.0618202 + 0.998087i \(0.480309\pi\)
\(614\) 1.24379 5.44941i 0.0501954 0.219920i
\(615\) −6.20900 + 7.78583i −0.250371 + 0.313955i
\(616\) 7.77122 34.0479i 0.313111 1.37183i
\(617\) 21.1587 + 10.1895i 0.851818 + 0.410214i 0.808252 0.588836i \(-0.200414\pi\)
0.0435661 + 0.999051i \(0.486128\pi\)
\(618\) −17.3504 21.7567i −0.697936 0.875185i
\(619\) 25.3630 + 31.8042i 1.01942 + 1.27832i 0.959975 + 0.280087i \(0.0903632\pi\)
0.0594498 + 0.998231i \(0.481065\pi\)
\(620\) −0.0259213 0.113569i −0.00104102 0.00456102i
\(621\) −39.4403 18.9935i −1.58269 0.762182i
\(622\) −31.2760 + 15.0617i −1.25405 + 0.603920i
\(623\) 3.80139 + 16.6550i 0.152300 + 0.667268i
\(624\) −9.68157 42.4177i −0.387573 1.69807i
\(625\) −19.9007 + 9.58366i −0.796027 + 0.383347i
\(626\) 28.2916 + 13.6245i 1.13076 + 0.544546i
\(627\) −7.24793 31.7552i −0.289454 1.26818i
\(628\) −5.61975 7.04694i −0.224252 0.281203i
\(629\) 6.87688 + 8.62333i 0.274199 + 0.343835i
\(630\) 6.89262 + 3.31931i 0.274609 + 0.132245i
\(631\) −4.73866 + 20.7614i −0.188643 + 0.826499i 0.788690 + 0.614791i \(0.210760\pi\)
−0.977333 + 0.211708i \(0.932097\pi\)
\(632\) −15.1700 + 19.0226i −0.603432 + 0.756680i
\(633\) −2.17768 + 9.54105i −0.0865551 + 0.379223i
\(634\) −32.4457 + 15.6250i −1.28858 + 0.620548i
\(635\) 1.00690 + 1.26262i 0.0399577 + 0.0501054i
\(636\) 5.94665 2.86375i 0.235800 0.113555i
\(637\) 6.40180 8.02761i 0.253649 0.318065i
\(638\) −35.4313 −1.40274
\(639\) 18.7113 0.740206
\(640\) −1.69640 + 2.12721i −0.0670559 + 0.0840855i
\(641\) 30.4465 + 14.6623i 1.20256 + 0.579125i 0.924406 0.381410i \(-0.124562\pi\)
0.278159 + 0.960535i \(0.410276\pi\)
\(642\) −11.8291 51.8268i −0.466858 2.04544i
\(643\) 2.41014 10.5595i 0.0950468 0.416427i −0.904911 0.425600i \(-0.860063\pi\)
0.999958 + 0.00917344i \(0.00292004\pi\)
\(644\) −4.40010 −0.173388
\(645\) −2.67302 8.42854i −0.105250 0.331873i
\(646\) 2.58443 0.101683
\(647\) −3.25824 + 14.2753i −0.128094 + 0.561219i 0.869624 + 0.493714i \(0.164361\pi\)
−0.997719 + 0.0675048i \(0.978496\pi\)
\(648\) 7.63459 + 33.4493i 0.299915 + 1.31401i
\(649\) 5.59274 + 2.69332i 0.219534 + 0.105722i
\(650\) 18.3787 23.0462i 0.720872 0.903945i
\(651\) 3.95963 0.155190
\(652\) 2.37988 0.0932035
\(653\) −2.69928 + 3.38480i −0.105631 + 0.132457i −0.831837 0.555020i \(-0.812711\pi\)
0.726206 + 0.687477i \(0.241282\pi\)
\(654\) 62.2390 29.9727i 2.43374 1.17203i
\(655\) −0.940234 1.17902i −0.0367380 0.0460680i
\(656\) 19.3355 9.31148i 0.754924 0.363552i
\(657\) 2.05375 8.99808i 0.0801245 0.351049i
\(658\) 14.3338 17.9741i 0.558791 0.700702i
\(659\) 0.479833 2.10229i 0.0186917 0.0818935i −0.964722 0.263271i \(-0.915199\pi\)
0.983413 + 0.181378i \(0.0580557\pi\)
\(660\) −2.80591 1.35125i −0.109220 0.0525975i
\(661\) −20.2327 25.3710i −0.786959 0.986816i −0.999952 0.00976204i \(-0.996893\pi\)
0.212993 0.977054i \(-0.431679\pi\)
\(662\) −2.68367 3.36521i −0.104304 0.130793i
\(663\) 3.33169 + 14.5971i 0.129392 + 0.566904i
\(664\) −14.5248 6.99478i −0.563672 0.271450i
\(665\) 1.83728 0.884787i 0.0712466 0.0343106i
\(666\) −19.0956 83.6635i −0.739941 3.24189i
\(667\) 5.43688 + 23.8205i 0.210517 + 0.922335i
\(668\) −5.57330 + 2.68396i −0.215637 + 0.103845i
\(669\) −11.5186 5.54707i −0.445335 0.214462i
\(670\) −0.740753 3.24545i −0.0286178 0.125383i
\(671\) −10.9267 13.7016i −0.421819 0.528945i
\(672\) 10.4127 + 13.0571i 0.401679 + 0.503689i
\(673\) 16.9006 + 8.13889i 0.651469 + 0.313731i 0.730269 0.683159i \(-0.239395\pi\)
−0.0788001 + 0.996890i \(0.525109\pi\)
\(674\) 6.27285 27.4831i 0.241621 1.05861i
\(675\) −29.5328 + 37.0329i −1.13672 + 1.42540i
\(676\) 1.11946 4.90467i 0.0430561 0.188641i
\(677\) 25.9039 12.4746i 0.995567 0.479440i 0.136135 0.990690i \(-0.456532\pi\)
0.859432 + 0.511251i \(0.170818\pi\)
\(678\) −0.509596 0.639013i −0.0195709 0.0245412i
\(679\) −37.9100 + 18.2565i −1.45485 + 0.700620i
\(680\) 0.843262 1.05742i 0.0323376 0.0405501i
\(681\) 38.9032 1.49077
\(682\) 3.78160 0.144805
\(683\) −0.986590 + 1.23715i −0.0377508 + 0.0473380i −0.800349 0.599535i \(-0.795352\pi\)
0.762598 + 0.646873i \(0.223924\pi\)
\(684\) 5.21597 + 2.51188i 0.199438 + 0.0960441i
\(685\) −0.584957 2.56287i −0.0223501 0.0979221i
\(686\) 5.58508 24.4698i 0.213239 0.934263i
\(687\) −9.95116 −0.379661
\(688\) −2.69098 + 18.8643i −0.102593 + 0.719196i
\(689\) −23.9119 −0.910972
\(690\) 1.65984 7.27224i 0.0631890 0.276849i
\(691\) 1.93272 + 8.46782i 0.0735243 + 0.322131i 0.998293 0.0583977i \(-0.0185991\pi\)
−0.924769 + 0.380529i \(0.875742\pi\)
\(692\) −1.47573 0.710675i −0.0560989 0.0270158i
\(693\) 44.5814 55.9034i 1.69351 2.12359i
\(694\) 8.43181 0.320067
\(695\) −8.23226 −0.312267
\(696\) 31.8167 39.8969i 1.20601 1.51229i
\(697\) −6.65386 + 3.20433i −0.252033 + 0.121373i
\(698\) 5.96131 + 7.47525i 0.225639 + 0.282942i
\(699\) −43.2775 + 20.8413i −1.63691 + 0.788292i
\(700\) −1.05944 + 4.64171i −0.0400431 + 0.175440i
\(701\) 12.2281 15.3336i 0.461850 0.579142i −0.495304 0.868720i \(-0.664943\pi\)
0.957154 + 0.289578i \(0.0935149\pi\)
\(702\) 13.4665 59.0004i 0.508259 2.22683i
\(703\) −20.6093 9.92494i −0.777296 0.374326i
\(704\) 28.6631 + 35.9424i 1.08028 + 1.35463i
\(705\) −6.99609 8.77281i −0.263488 0.330403i
\(706\) 1.16574 + 5.10746i 0.0438733 + 0.192222i
\(707\) 20.2053 + 9.73036i 0.759899 + 0.365948i
\(708\) −1.47169 + 0.708727i −0.0553094 + 0.0266356i
\(709\) −8.70323 38.1313i −0.326857 1.43205i −0.825086 0.565007i \(-0.808873\pi\)
0.498230 0.867045i \(-0.333984\pi\)
\(710\) 0.368575 + 1.61483i 0.0138324 + 0.0606036i
\(711\) −44.8821 + 21.6141i −1.68321 + 0.810592i
\(712\) −21.1710 10.1954i −0.793417 0.382090i
\(713\) −0.580281 2.54238i −0.0217317 0.0952129i
\(714\) 5.23701 + 6.56700i 0.195990 + 0.245764i
\(715\) 7.03469 + 8.82123i 0.263083 + 0.329895i
\(716\) −2.01051 0.968213i −0.0751364 0.0361838i
\(717\) −6.82369 + 29.8966i −0.254836 + 1.11651i
\(718\) −21.9694 + 27.5487i −0.819889 + 1.02811i
\(719\) −2.77373 + 12.1525i −0.103443 + 0.453212i 0.896505 + 0.443033i \(0.146097\pi\)
−0.999948 + 0.0101796i \(0.996760\pi\)
\(720\) −7.24987 + 3.49136i −0.270187 + 0.130115i
\(721\) −10.1527 12.7311i −0.378107 0.474132i
\(722\) 16.5031 7.94746i 0.614181 0.295774i
\(723\) −13.4288 + 16.8392i −0.499424 + 0.626257i
\(724\) −5.07066 −0.188450
\(725\) 26.4377 0.981870
\(726\) 37.0508 46.4603i 1.37508 1.72430i
\(727\) 37.7220 + 18.1660i 1.39903 + 0.673738i 0.972965 0.230954i \(-0.0741847\pi\)
0.426066 + 0.904692i \(0.359899\pi\)
\(728\) −7.40854 32.4589i −0.274579 1.20301i
\(729\) 4.38340 19.2049i 0.162348 0.711293i
\(730\) 0.817013 0.0302390
\(731\) 0.926040 6.49172i 0.0342508 0.240105i
\(732\) 4.61157 0.170449
\(733\) 1.78076 7.80203i 0.0657740 0.288175i −0.931335 0.364165i \(-0.881355\pi\)
0.997109 + 0.0759900i \(0.0242117\pi\)
\(734\) 4.83946 + 21.2031i 0.178628 + 0.782619i
\(735\) −2.53301 1.21983i −0.0934313 0.0449942i
\(736\) 6.85767 8.59925i 0.252777 0.316973i
\(737\) −31.1138 −1.14609
\(738\) 57.4600 2.11513
\(739\) −10.4501 + 13.1040i −0.384413 + 0.482039i −0.935961 0.352105i \(-0.885466\pi\)
0.551548 + 0.834143i \(0.314038\pi\)
\(740\) −1.97054 + 0.948961i −0.0724384 + 0.0348845i
\(741\) −19.3604 24.2772i −0.711224 0.891846i
\(742\) −12.0861 + 5.82035i −0.443694 + 0.213672i
\(743\) −7.69245 + 33.7028i −0.282209 + 1.23644i 0.612746 + 0.790280i \(0.290065\pi\)
−0.894955 + 0.446157i \(0.852792\pi\)
\(744\) −3.39582 + 4.25822i −0.124497 + 0.156114i
\(745\) −1.76922 + 7.75145i −0.0648191 + 0.283991i
\(746\) −41.9688 20.2111i −1.53659 0.739981i
\(747\) −20.5796 25.8060i −0.752967 0.944191i
\(748\) −1.44001 1.80571i −0.0526518 0.0660233i
\(749\) −6.92190 30.3268i −0.252921 1.10812i
\(750\) −14.8416 7.14736i −0.541940 0.260985i
\(751\) −21.9917 + 10.5907i −0.802490 + 0.386459i −0.789726 0.613460i \(-0.789777\pi\)
−0.0127641 + 0.999919i \(0.504063\pi\)
\(752\) 5.38084 + 23.5750i 0.196219 + 0.859691i
\(753\) −11.4923 50.3509i −0.418802 1.83489i
\(754\) −30.4327 + 14.6556i −1.10829 + 0.533726i
\(755\) 3.55308 + 1.71107i 0.129310 + 0.0622723i
\(756\) 2.17507 + 9.52961i 0.0791066 + 0.346589i
\(757\) −12.7037 15.9299i −0.461723 0.578983i 0.495399 0.868665i \(-0.335022\pi\)
−0.957123 + 0.289682i \(0.906450\pi\)
\(758\) 14.9736 + 18.7763i 0.543865