Properties

Label 546.2.bb.a.269.30
Level $546$
Weight $2$
Character 546.269
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bb (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 269.30
Character \(\chi\) \(=\) 546.269
Dual form 546.2.bb.a.341.11

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(0.144357 + 1.72602i) q^{3} -1.00000 q^{4} +(-1.41378 - 2.44875i) q^{5} +(-1.72602 + 0.144357i) q^{6} +(0.383892 - 2.61775i) q^{7} -1.00000i q^{8} +(-2.95832 + 0.498329i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(0.144357 + 1.72602i) q^{3} -1.00000 q^{4} +(-1.41378 - 2.44875i) q^{5} +(-1.72602 + 0.144357i) q^{6} +(0.383892 - 2.61775i) q^{7} -1.00000i q^{8} +(-2.95832 + 0.498329i) q^{9} +(2.44875 - 1.41378i) q^{10} +(4.64708 - 2.68299i) q^{11} +(-0.144357 - 1.72602i) q^{12} +(-2.04050 + 2.97260i) q^{13} +(2.61775 + 0.383892i) q^{14} +(4.02250 - 2.79372i) q^{15} +1.00000 q^{16} +7.32456 q^{17} +(-0.498329 - 2.95832i) q^{18} +(2.17739 + 1.25712i) q^{19} +(1.41378 + 2.44875i) q^{20} +(4.57372 + 0.284715i) q^{21} +(2.68299 + 4.64708i) q^{22} -4.84619i q^{23} +(1.72602 - 0.144357i) q^{24} +(-1.49757 + 2.59386i) q^{25} +(-2.97260 - 2.04050i) q^{26} +(-1.28718 - 5.03420i) q^{27} +(-0.383892 + 2.61775i) q^{28} +(-5.21665 - 3.01183i) q^{29} +(2.79372 + 4.02250i) q^{30} +(1.76151 + 1.01701i) q^{31} +1.00000i q^{32} +(5.30175 + 7.63366i) q^{33} +7.32456i q^{34} +(-6.95295 + 2.76088i) q^{35} +(2.95832 - 0.498329i) q^{36} +0.639208 q^{37} +(-1.25712 + 2.17739i) q^{38} +(-5.42535 - 3.09283i) q^{39} +(-2.44875 + 1.41378i) q^{40} +(5.97580 - 10.3504i) q^{41} +(-0.284715 + 4.57372i) q^{42} +(-0.836889 - 1.44953i) q^{43} +(-4.64708 + 2.68299i) q^{44} +(5.40271 + 6.53965i) q^{45} +4.84619 q^{46} +(2.48934 + 4.31167i) q^{47} +(0.144357 + 1.72602i) q^{48} +(-6.70525 - 2.00987i) q^{49} +(-2.59386 - 1.49757i) q^{50} +(1.05736 + 12.6424i) q^{51} +(2.04050 - 2.97260i) q^{52} +(-2.82599 - 1.63159i) q^{53} +(5.03420 - 1.28718i) q^{54} +(-13.1399 - 7.58634i) q^{55} +(-2.61775 - 0.383892i) q^{56} +(-1.85549 + 3.93970i) q^{57} +(3.01183 - 5.21665i) q^{58} -4.67055 q^{59} +(-4.02250 + 2.79372i) q^{60} +(4.84184 + 2.79544i) q^{61} +(-1.01701 + 1.76151i) q^{62} +(0.168825 + 7.93546i) q^{63} -1.00000 q^{64} +(10.1640 + 0.794034i) q^{65} +(-7.63366 + 5.30175i) q^{66} +(-2.19314 - 3.79862i) q^{67} -7.32456 q^{68} +(8.36465 - 0.699584i) q^{69} +(-2.76088 - 6.95295i) q^{70} +(-7.14590 + 4.12569i) q^{71} +(0.498329 + 2.95832i) q^{72} +(1.55287 + 0.896552i) q^{73} +0.639208i q^{74} +(-4.69326 - 2.21040i) q^{75} +(-2.17739 - 1.25712i) q^{76} +(-5.23943 - 13.1949i) q^{77} +(3.09283 - 5.42535i) q^{78} +(2.02845 + 3.51337i) q^{79} +(-1.41378 - 2.44875i) q^{80} +(8.50334 - 2.94843i) q^{81} +(10.3504 + 5.97580i) q^{82} +12.1228 q^{83} +(-4.57372 - 0.284715i) q^{84} +(-10.3553 - 17.9360i) q^{85} +(1.44953 - 0.836889i) q^{86} +(4.44544 - 9.43884i) q^{87} +(-2.68299 - 4.64708i) q^{88} +16.2075 q^{89} +(-6.53965 + 5.40271i) q^{90} +(6.99821 + 6.48267i) q^{91} +4.84619i q^{92} +(-1.50109 + 3.18722i) q^{93} +(-4.31167 + 2.48934i) q^{94} -7.10916i q^{95} +(-1.72602 + 0.144357i) q^{96} +(-4.57690 + 2.64248i) q^{97} +(2.00987 - 6.70525i) q^{98} +(-12.4105 + 10.2529i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q - 76q^{4} + 10q^{7} + 4q^{9} + O(q^{10}) \) \( 76q - 76q^{4} + 10q^{7} + 4q^{9} - 2q^{13} + 12q^{15} + 76q^{16} + 18q^{19} - 8q^{21} - 42q^{25} - 10q^{28} - 10q^{30} + 12q^{31} + 72q^{33} - 4q^{36} + 12q^{37} - 42q^{39} + 2q^{42} - 2q^{43} + 8q^{46} - 10q^{49} + 10q^{51} + 2q^{52} - 24q^{55} + 8q^{57} - 8q^{58} - 12q^{60} + 78q^{61} + 2q^{63} - 76q^{64} - 24q^{66} - 48q^{67} + 30q^{69} - 54q^{73} - 18q^{76} - 12q^{78} - 60q^{79} - 4q^{81} - 24q^{82} + 8q^{84} + 8q^{85} - 8q^{91} - 32q^{93} - 24q^{94} + 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) 0.144357 + 1.72602i 0.0833448 + 0.996521i
\(4\) −1.00000 −0.500000
\(5\) −1.41378 2.44875i −0.632263 1.09511i −0.987088 0.160179i \(-0.948793\pi\)
0.354825 0.934933i \(-0.384541\pi\)
\(6\) −1.72602 + 0.144357i −0.704647 + 0.0589337i
\(7\) 0.383892 2.61775i 0.145098 0.989417i
\(8\) 1.00000i 0.353553i
\(9\) −2.95832 + 0.498329i −0.986107 + 0.166110i
\(10\) 2.44875 1.41378i 0.774361 0.447078i
\(11\) 4.64708 2.68299i 1.40115 0.808952i 0.406636 0.913590i \(-0.366702\pi\)
0.994510 + 0.104638i \(0.0333684\pi\)
\(12\) −0.144357 1.72602i −0.0416724 0.498260i
\(13\) −2.04050 + 2.97260i −0.565932 + 0.824452i
\(14\) 2.61775 + 0.383892i 0.699624 + 0.102599i
\(15\) 4.02250 2.79372i 1.03861 0.721335i
\(16\) 1.00000 0.250000
\(17\) 7.32456 1.77647 0.888234 0.459392i \(-0.151933\pi\)
0.888234 + 0.459392i \(0.151933\pi\)
\(18\) −0.498329 2.95832i −0.117457 0.697283i
\(19\) 2.17739 + 1.25712i 0.499528 + 0.288402i 0.728518 0.685026i \(-0.240209\pi\)
−0.228991 + 0.973429i \(0.573543\pi\)
\(20\) 1.41378 + 2.44875i 0.316132 + 0.547556i
\(21\) 4.57372 + 0.284715i 0.998068 + 0.0621300i
\(22\) 2.68299 + 4.64708i 0.572016 + 0.990760i
\(23\) 4.84619i 1.01050i −0.862973 0.505251i \(-0.831400\pi\)
0.862973 0.505251i \(-0.168600\pi\)
\(24\) 1.72602 0.144357i 0.352323 0.0294668i
\(25\) −1.49757 + 2.59386i −0.299514 + 0.518773i
\(26\) −2.97260 2.04050i −0.582976 0.400174i
\(27\) −1.28718 5.03420i −0.247719 0.968832i
\(28\) −0.383892 + 2.61775i −0.0725488 + 0.494709i
\(29\) −5.21665 3.01183i −0.968707 0.559283i −0.0698653 0.997556i \(-0.522257\pi\)
−0.898842 + 0.438273i \(0.855590\pi\)
\(30\) 2.79372 + 4.02250i 0.510061 + 0.734405i
\(31\) 1.76151 + 1.01701i 0.316376 + 0.182660i 0.649776 0.760126i \(-0.274863\pi\)
−0.333400 + 0.942785i \(0.608196\pi\)
\(32\) 1.00000i 0.176777i
\(33\) 5.30175 + 7.63366i 0.922916 + 1.32885i
\(34\) 7.32456i 1.25615i
\(35\) −6.95295 + 2.76088i −1.17526 + 0.466674i
\(36\) 2.95832 0.498329i 0.493054 0.0830548i
\(37\) 0.639208 0.105085 0.0525426 0.998619i \(-0.483267\pi\)
0.0525426 + 0.998619i \(0.483267\pi\)
\(38\) −1.25712 + 2.17739i −0.203931 + 0.353219i
\(39\) −5.42535 3.09283i −0.868751 0.495249i
\(40\) −2.44875 + 1.41378i −0.387181 + 0.223539i
\(41\) 5.97580 10.3504i 0.933263 1.61646i 0.155560 0.987826i \(-0.450282\pi\)
0.777703 0.628632i \(-0.216385\pi\)
\(42\) −0.284715 + 4.57372i −0.0439325 + 0.705741i
\(43\) −0.836889 1.44953i −0.127624 0.221052i 0.795131 0.606437i \(-0.207402\pi\)
−0.922756 + 0.385385i \(0.874069\pi\)
\(44\) −4.64708 + 2.68299i −0.700573 + 0.404476i
\(45\) 5.40271 + 6.53965i 0.805388 + 0.974873i
\(46\) 4.84619 0.714532
\(47\) 2.48934 + 4.31167i 0.363108 + 0.628922i 0.988471 0.151413i \(-0.0483822\pi\)
−0.625362 + 0.780334i \(0.715049\pi\)
\(48\) 0.144357 + 1.72602i 0.0208362 + 0.249130i
\(49\) −6.70525 2.00987i −0.957893 0.287124i
\(50\) −2.59386 1.49757i −0.366828 0.211788i
\(51\) 1.05736 + 12.6424i 0.148059 + 1.77029i
\(52\) 2.04050 2.97260i 0.282966 0.412226i
\(53\) −2.82599 1.63159i −0.388179 0.224115i 0.293192 0.956054i \(-0.405283\pi\)
−0.681371 + 0.731938i \(0.738616\pi\)
\(54\) 5.03420 1.28718i 0.685068 0.175164i
\(55\) −13.1399 7.58634i −1.77179 1.02294i
\(56\) −2.61775 0.383892i −0.349812 0.0512997i
\(57\) −1.85549 + 3.93970i −0.245766 + 0.521826i
\(58\) 3.01183 5.21665i 0.395473 0.684979i
\(59\) −4.67055 −0.608054 −0.304027 0.952663i \(-0.598331\pi\)
−0.304027 + 0.952663i \(0.598331\pi\)
\(60\) −4.02250 + 2.79372i −0.519303 + 0.360668i
\(61\) 4.84184 + 2.79544i 0.619934 + 0.357919i 0.776843 0.629694i \(-0.216820\pi\)
−0.156909 + 0.987613i \(0.550153\pi\)
\(62\) −1.01701 + 1.76151i −0.129160 + 0.223712i
\(63\) 0.168825 + 7.93546i 0.0212700 + 0.999774i
\(64\) −1.00000 −0.125000
\(65\) 10.1640 + 0.794034i 1.26069 + 0.0984878i
\(66\) −7.63366 + 5.30175i −0.939639 + 0.652600i
\(67\) −2.19314 3.79862i −0.267934 0.464076i 0.700394 0.713756i \(-0.253008\pi\)
−0.968328 + 0.249681i \(0.919674\pi\)
\(68\) −7.32456 −0.888234
\(69\) 8.36465 0.699584i 1.00699 0.0842200i
\(70\) −2.76088 6.95295i −0.329988 0.831036i
\(71\) −7.14590 + 4.12569i −0.848062 + 0.489629i −0.859996 0.510300i \(-0.829534\pi\)
0.0119346 + 0.999929i \(0.496201\pi\)
\(72\) 0.498329 + 2.95832i 0.0587286 + 0.348642i
\(73\) 1.55287 + 0.896552i 0.181750 + 0.104934i 0.588115 0.808778i \(-0.299870\pi\)
−0.406365 + 0.913711i \(0.633204\pi\)
\(74\) 0.639208i 0.0743065i
\(75\) −4.69326 2.21040i −0.541931 0.255235i
\(76\) −2.17739 1.25712i −0.249764 0.144201i
\(77\) −5.23943 13.1949i −0.597088 1.50370i
\(78\) 3.09283 5.42535i 0.350194 0.614300i
\(79\) 2.02845 + 3.51337i 0.228218 + 0.395285i 0.957280 0.289162i \(-0.0933767\pi\)
−0.729062 + 0.684448i \(0.760043\pi\)
\(80\) −1.41378 2.44875i −0.158066 0.273778i
\(81\) 8.50334 2.94843i 0.944815 0.327604i
\(82\) 10.3504 + 5.97580i 1.14301 + 0.659916i
\(83\) 12.1228 1.33065 0.665327 0.746552i \(-0.268292\pi\)
0.665327 + 0.746552i \(0.268292\pi\)
\(84\) −4.57372 0.284715i −0.499034 0.0310650i
\(85\) −10.3553 17.9360i −1.12320 1.94543i
\(86\) 1.44953 0.836889i 0.156307 0.0902441i
\(87\) 4.44544 9.43884i 0.476601 1.01195i
\(88\) −2.68299 4.64708i −0.286008 0.495380i
\(89\) 16.2075 1.71800 0.858998 0.511978i \(-0.171087\pi\)
0.858998 + 0.511978i \(0.171087\pi\)
\(90\) −6.53965 + 5.40271i −0.689339 + 0.569495i
\(91\) 6.99821 + 6.48267i 0.733612 + 0.679569i
\(92\) 4.84619i 0.505251i
\(93\) −1.50109 + 3.18722i −0.155656 + 0.330499i
\(94\) −4.31167 + 2.48934i −0.444715 + 0.256756i
\(95\) 7.10916i 0.729385i
\(96\) −1.72602 + 0.144357i −0.176162 + 0.0147334i
\(97\) −4.57690 + 2.64248i −0.464714 + 0.268303i −0.714024 0.700121i \(-0.753129\pi\)
0.249310 + 0.968424i \(0.419796\pi\)
\(98\) 2.00987 6.70525i 0.203027 0.677333i
\(99\) −12.4105 + 10.2529i −1.24731 + 1.03046i
\(100\) 1.49757 2.59386i 0.149757 0.259386i
\(101\) −0.0181979 0.0315196i −0.00181076 0.00313632i 0.865119 0.501567i \(-0.167243\pi\)
−0.866929 + 0.498431i \(0.833910\pi\)
\(102\) −12.6424 + 1.05736i −1.25178 + 0.104694i
\(103\) −15.9496 + 9.20853i −1.57156 + 0.907343i −0.575587 + 0.817741i \(0.695226\pi\)
−0.995978 + 0.0896026i \(0.971440\pi\)
\(104\) 2.97260 + 2.04050i 0.291488 + 0.200087i
\(105\) −5.76906 11.6024i −0.563002 1.13228i
\(106\) 1.63159 2.82599i 0.158474 0.274484i
\(107\) 5.56596i 0.538082i 0.963129 + 0.269041i \(0.0867067\pi\)
−0.963129 + 0.269041i \(0.913293\pi\)
\(108\) 1.28718 + 5.03420i 0.123859 + 0.484416i
\(109\) 2.93599 5.08529i 0.281217 0.487082i −0.690468 0.723363i \(-0.742595\pi\)
0.971685 + 0.236281i \(0.0759285\pi\)
\(110\) 7.58634 13.1399i 0.723329 1.25284i
\(111\) 0.0922745 + 1.10329i 0.00875831 + 0.104720i
\(112\) 0.383892 2.61775i 0.0362744 0.247354i
\(113\) 0.869871 0.502220i 0.0818306 0.0472449i −0.458526 0.888681i \(-0.651623\pi\)
0.540357 + 0.841436i \(0.318289\pi\)
\(114\) −3.93970 1.85549i −0.368987 0.173783i
\(115\) −11.8671 + 6.85147i −1.10661 + 0.638903i
\(116\) 5.21665 + 3.01183i 0.484354 + 0.279642i
\(117\) 4.55511 9.81076i 0.421120 0.907005i
\(118\) 4.67055i 0.429959i
\(119\) 2.81184 19.1739i 0.257761 1.75767i
\(120\) −2.79372 4.02250i −0.255031 0.367203i
\(121\) 8.89688 15.4099i 0.808808 1.40090i
\(122\) −2.79544 + 4.84184i −0.253087 + 0.438360i
\(123\) 18.7277 + 8.82022i 1.68862 + 0.795292i
\(124\) −1.76151 1.01701i −0.158188 0.0913299i
\(125\) −5.66889 −0.507041
\(126\) −7.93546 + 0.168825i −0.706947 + 0.0150401i
\(127\) 5.94284 10.2933i 0.527341 0.913382i −0.472151 0.881518i \(-0.656522\pi\)
0.999492 0.0318643i \(-0.0101444\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 2.38112 1.65374i 0.209646 0.145604i
\(130\) −0.794034 + 10.1640i −0.0696414 + 0.891439i
\(131\) −3.27806 5.67776i −0.286405 0.496068i 0.686544 0.727088i \(-0.259127\pi\)
−0.972949 + 0.231020i \(0.925794\pi\)
\(132\) −5.30175 7.63366i −0.461458 0.664425i
\(133\) 4.12670 5.21727i 0.357831 0.452395i
\(134\) 3.79862 2.19314i 0.328151 0.189458i
\(135\) −10.5077 + 10.2693i −0.904356 + 0.883837i
\(136\) 7.32456i 0.628076i
\(137\) 15.0048i 1.28194i 0.767564 + 0.640972i \(0.221468\pi\)
−0.767564 + 0.640972i \(0.778532\pi\)
\(138\) 0.699584 + 8.36465i 0.0595525 + 0.712046i
\(139\) −14.8457 + 8.57114i −1.25919 + 0.726995i −0.972917 0.231153i \(-0.925750\pi\)
−0.286274 + 0.958148i \(0.592417\pi\)
\(140\) 6.95295 2.76088i 0.587631 0.233337i
\(141\) −7.08269 + 4.91909i −0.596470 + 0.414262i
\(142\) −4.12569 7.14590i −0.346220 0.599670i
\(143\) −1.50687 + 19.2886i −0.126011 + 1.61299i
\(144\) −2.95832 + 0.498329i −0.246527 + 0.0415274i
\(145\) 17.0323i 1.41446i
\(146\) −0.896552 + 1.55287i −0.0741992 + 0.128517i
\(147\) 2.50113 11.8636i 0.206290 0.978491i
\(148\) −0.639208 −0.0525426
\(149\) −9.92624 5.73092i −0.813190 0.469495i 0.0348727 0.999392i \(-0.488897\pi\)
−0.848062 + 0.529897i \(0.822231\pi\)
\(150\) 2.21040 4.69326i 0.180478 0.383203i
\(151\) −6.15167 + 10.6550i −0.500616 + 0.867092i 0.499384 + 0.866381i \(0.333560\pi\)
−1.00000 0.000710935i \(0.999774\pi\)
\(152\) 1.25712 2.17739i 0.101966 0.176610i
\(153\) −21.6684 + 3.65004i −1.75179 + 0.295088i
\(154\) 13.1949 5.23943i 1.06327 0.422205i
\(155\) 5.75131i 0.461956i
\(156\) 5.42535 + 3.09283i 0.434376 + 0.247624i
\(157\) 14.2430 + 8.22323i 1.13672 + 0.656285i 0.945616 0.325285i \(-0.105460\pi\)
0.191103 + 0.981570i \(0.438794\pi\)
\(158\) −3.51337 + 2.02845i −0.279509 + 0.161375i
\(159\) 2.40820 5.11326i 0.190983 0.405508i
\(160\) 2.44875 1.41378i 0.193590 0.111769i
\(161\) −12.6861 1.86042i −0.999807 0.146621i
\(162\) 2.94843 + 8.50334i 0.231651 + 0.668085i
\(163\) −3.00753 + 5.20920i −0.235568 + 0.408016i −0.959438 0.281921i \(-0.909028\pi\)
0.723869 + 0.689937i \(0.242362\pi\)
\(164\) −5.97580 + 10.3504i −0.466631 + 0.808229i
\(165\) 11.1974 23.7750i 0.871713 1.85088i
\(166\) 12.1228i 0.940914i
\(167\) −3.93039 + 6.80763i −0.304142 + 0.526790i −0.977070 0.212918i \(-0.931703\pi\)
0.672928 + 0.739708i \(0.265037\pi\)
\(168\) 0.284715 4.57372i 0.0219663 0.352870i
\(169\) −4.67275 12.1312i −0.359443 0.933167i
\(170\) 17.9360 10.3553i 1.37563 0.794219i
\(171\) −7.06788 2.63390i −0.540494 0.201419i
\(172\) 0.836889 + 1.44953i 0.0638122 + 0.110526i
\(173\) −8.14791 + 14.1126i −0.619474 + 1.07296i 0.370108 + 0.928989i \(0.379321\pi\)
−0.989582 + 0.143972i \(0.954013\pi\)
\(174\) 9.43884 + 4.44544i 0.715557 + 0.337008i
\(175\) 6.21519 + 4.91603i 0.469824 + 0.371617i
\(176\) 4.64708 2.68299i 0.350287 0.202238i
\(177\) −0.674229 8.06149i −0.0506782 0.605939i
\(178\) 16.2075i 1.21481i
\(179\) −9.54740 + 5.51220i −0.713606 + 0.412001i −0.812395 0.583108i \(-0.801837\pi\)
0.0987885 + 0.995108i \(0.468503\pi\)
\(180\) −5.40271 6.53965i −0.402694 0.487436i
\(181\) 3.78477i 0.281320i −0.990058 0.140660i \(-0.955078\pi\)
0.990058 0.140660i \(-0.0449224\pi\)
\(182\) −6.48267 + 6.99821i −0.480528 + 0.518742i
\(183\) −4.12604 + 8.76068i −0.305006 + 0.647608i
\(184\) −4.84619 −0.357266
\(185\) −0.903702 1.56526i −0.0664415 0.115080i
\(186\) −3.18722 1.50109i −0.233698 0.110065i
\(187\) 34.0378 19.6517i 2.48909 1.43708i
\(188\) −2.48934 4.31167i −0.181554 0.314461i
\(189\) −13.6724 + 1.43694i −0.994523 + 0.104522i
\(190\) 7.10916 0.515753
\(191\) −6.98367 4.03202i −0.505321 0.291747i 0.225587 0.974223i \(-0.427570\pi\)
−0.730908 + 0.682476i \(0.760903\pi\)
\(192\) −0.144357 1.72602i −0.0104181 0.124565i
\(193\) 5.50345 + 9.53225i 0.396147 + 0.686146i 0.993247 0.116021i \(-0.0370138\pi\)
−0.597100 + 0.802167i \(0.703681\pi\)
\(194\) −2.64248 4.57690i −0.189719 0.328602i
\(195\) 0.0967215 + 17.6579i 0.00692637 + 1.26451i
\(196\) 6.70525 + 2.00987i 0.478947 + 0.143562i
\(197\) −1.95410 1.12820i −0.139224 0.0803808i 0.428770 0.903414i \(-0.358947\pi\)
−0.567994 + 0.823033i \(0.692280\pi\)
\(198\) −10.2529 12.4105i −0.728644 0.881979i
\(199\) 7.25276i 0.514134i −0.966394 0.257067i \(-0.917244\pi\)
0.966394 0.257067i \(-0.0827561\pi\)
\(200\) 2.59386 + 1.49757i 0.183414 + 0.105894i
\(201\) 6.23992 4.33377i 0.440130 0.305680i
\(202\) 0.0315196 0.0181979i 0.00221771 0.00128040i
\(203\) −9.88686 + 12.4997i −0.693922 + 0.877305i
\(204\) −1.05736 12.6424i −0.0740297 0.885144i
\(205\) −33.7939 −2.36027
\(206\) −9.20853 15.9496i −0.641589 1.11126i
\(207\) 2.41500 + 14.3366i 0.167854 + 0.996463i
\(208\) −2.04050 + 2.97260i −0.141483 + 0.206113i
\(209\) 13.4913 0.933215
\(210\) 11.6024 5.76906i 0.800642 0.398103i
\(211\) 2.35068 4.07150i 0.161827 0.280293i −0.773697 0.633556i \(-0.781595\pi\)
0.935524 + 0.353263i \(0.114928\pi\)
\(212\) 2.82599 + 1.63159i 0.194090 + 0.112058i
\(213\) −8.15260 11.7384i −0.558607 0.804303i
\(214\) −5.56596 −0.380481
\(215\) −2.36636 + 4.09866i −0.161384 + 0.279526i
\(216\) −5.03420 + 1.28718i −0.342534 + 0.0875818i
\(217\) 3.33850 4.22077i 0.226632 0.286524i
\(218\) 5.08529 + 2.93599i 0.344419 + 0.198851i
\(219\) −1.32330 + 2.80972i −0.0894205 + 0.189863i
\(220\) 13.1399 + 7.58634i 0.885893 + 0.511471i
\(221\) −14.9457 + 21.7730i −1.00536 + 1.46461i
\(222\) −1.10329 + 0.0922745i −0.0740479 + 0.00619306i
\(223\) 18.5099 + 10.6867i 1.23951 + 0.715634i 0.968995 0.247081i \(-0.0794713\pi\)
0.270519 + 0.962715i \(0.412805\pi\)
\(224\) 2.61775 + 0.383892i 0.174906 + 0.0256499i
\(225\) 3.13769 8.41977i 0.209179 0.561318i
\(226\) 0.502220 + 0.869871i 0.0334072 + 0.0578630i
\(227\) 12.4663 0.827417 0.413708 0.910410i \(-0.364233\pi\)
0.413708 + 0.910410i \(0.364233\pi\)
\(228\) 1.85549 3.93970i 0.122883 0.260913i
\(229\) −9.09478 + 5.25087i −0.601000 + 0.346987i −0.769435 0.638725i \(-0.779462\pi\)
0.168435 + 0.985713i \(0.446129\pi\)
\(230\) −6.85147 11.8671i −0.451773 0.782493i
\(231\) 22.0183 10.9482i 1.44870 0.720336i
\(232\) −3.01183 + 5.21665i −0.197737 + 0.342490i
\(233\) 2.78543 1.60817i 0.182480 0.105355i −0.405977 0.913883i \(-0.633069\pi\)
0.588457 + 0.808528i \(0.299736\pi\)
\(234\) 9.81076 + 4.55511i 0.641349 + 0.297777i
\(235\) 7.03879 12.1915i 0.459160 0.795288i
\(236\) 4.67055 0.304027
\(237\) −5.77135 + 4.00833i −0.374889 + 0.260369i
\(238\) 19.1739 + 2.81184i 1.24286 + 0.182265i
\(239\) 11.9941i 0.775834i −0.921694 0.387917i \(-0.873195\pi\)
0.921694 0.387917i \(-0.126805\pi\)
\(240\) 4.02250 2.79372i 0.259652 0.180334i
\(241\) 18.3905i 1.18464i 0.805703 + 0.592319i \(0.201788\pi\)
−0.805703 + 0.592319i \(0.798212\pi\)
\(242\) 15.4099 + 8.89688i 0.990583 + 0.571913i
\(243\) 6.31659 + 14.2513i 0.405209 + 0.914224i
\(244\) −4.84184 2.79544i −0.309967 0.178960i
\(245\) 4.55812 + 19.2610i 0.291208 + 1.23054i
\(246\) −8.82022 + 18.7277i −0.562357 + 1.19403i
\(247\) −8.17987 + 3.90738i −0.520472 + 0.248621i
\(248\) 1.01701 1.76151i 0.0645800 0.111856i
\(249\) 1.75002 + 20.9243i 0.110903 + 1.32602i
\(250\) 5.66889i 0.358532i
\(251\) 5.22792 + 9.05503i 0.329983 + 0.571548i 0.982508 0.186219i \(-0.0596235\pi\)
−0.652525 + 0.757767i \(0.726290\pi\)
\(252\) −0.168825 7.93546i −0.0106350 0.499887i
\(253\) −13.0023 22.5206i −0.817447 1.41586i
\(254\) 10.2933 + 5.94284i 0.645859 + 0.372887i
\(255\) 29.4631 20.4628i 1.84505 1.28143i
\(256\) 1.00000 0.0625000
\(257\) −1.76706 −0.110226 −0.0551131 0.998480i \(-0.517552\pi\)
−0.0551131 + 0.998480i \(0.517552\pi\)
\(258\) 1.65374 + 2.38112i 0.102957 + 0.148242i
\(259\) 0.245387 1.67329i 0.0152476 0.103973i
\(260\) −10.1640 0.794034i −0.630343 0.0492439i
\(261\) 16.9334 + 6.31036i 1.04815 + 0.390602i
\(262\) 5.67776 3.27806i 0.350773 0.202519i
\(263\) 18.1822 10.4975i 1.12116 0.647303i 0.179465 0.983764i \(-0.442563\pi\)
0.941697 + 0.336461i \(0.109230\pi\)
\(264\) 7.63366 5.30175i 0.469819 0.326300i
\(265\) 9.22683i 0.566800i
\(266\) 5.21727 + 4.12670i 0.319891 + 0.253024i
\(267\) 2.33968 + 27.9746i 0.143186 + 1.71202i
\(268\) 2.19314 + 3.79862i 0.133967 + 0.232038i
\(269\) 17.5469 1.06985 0.534925 0.844899i \(-0.320340\pi\)
0.534925 + 0.844899i \(0.320340\pi\)
\(270\) −10.2693 10.5077i −0.624967 0.639476i
\(271\) 22.1933i 1.34814i −0.738665 0.674072i \(-0.764544\pi\)
0.738665 0.674072i \(-0.235456\pi\)
\(272\) 7.32456 0.444117
\(273\) −10.1790 + 13.0149i −0.616062 + 0.787698i
\(274\) −15.0048 −0.906471
\(275\) 16.0719i 0.969169i
\(276\) −8.36465 + 0.699584i −0.503493 + 0.0421100i
\(277\) 12.8518 0.772190 0.386095 0.922459i \(-0.373824\pi\)
0.386095 + 0.922459i \(0.373824\pi\)
\(278\) −8.57114 14.8457i −0.514063 0.890383i
\(279\) −5.71791 2.13082i −0.342322 0.127569i
\(280\) 2.76088 + 6.95295i 0.164994 + 0.415518i
\(281\) 26.5541i 1.58408i −0.610467 0.792042i \(-0.709018\pi\)
0.610467 0.792042i \(-0.290982\pi\)
\(282\) −4.91909 7.08269i −0.292928 0.421768i
\(283\) 1.33293 0.769566i 0.0792343 0.0457460i −0.459859 0.887992i \(-0.652100\pi\)
0.539094 + 0.842246i \(0.318767\pi\)
\(284\) 7.14590 4.12569i 0.424031 0.244814i
\(285\) 12.2706 1.02626i 0.726847 0.0607904i
\(286\) −19.2886 1.50687i −1.14056 0.0891031i
\(287\) −24.8007 19.6166i −1.46394 1.15793i
\(288\) −0.498329 2.95832i −0.0293643 0.174321i
\(289\) 36.6492 2.15584
\(290\) −17.0323 −1.00017
\(291\) −5.22169 7.51838i −0.306101 0.440735i
\(292\) −1.55287 0.896552i −0.0908751 0.0524668i
\(293\) 3.32608 + 5.76094i 0.194312 + 0.336557i 0.946675 0.322191i \(-0.104419\pi\)
−0.752363 + 0.658749i \(0.771086\pi\)
\(294\) 11.8636 + 2.50113i 0.691898 + 0.145869i
\(295\) 6.60315 + 11.4370i 0.384450 + 0.665888i
\(296\) 0.639208i 0.0371532i
\(297\) −19.4884 19.9408i −1.13083 1.15708i
\(298\) 5.73092 9.92624i 0.331983 0.575012i
\(299\) 14.4058 + 9.88864i 0.833110 + 0.571875i
\(300\) 4.69326 + 2.21040i 0.270965 + 0.127617i
\(301\) −4.11580 + 1.63430i −0.237231 + 0.0941997i
\(302\) −10.6550 6.15167i −0.613126 0.353989i
\(303\) 0.0517767 0.0359601i 0.00297449 0.00206585i
\(304\) 2.17739 + 1.25712i 0.124882 + 0.0721006i
\(305\) 15.8086i 0.905197i
\(306\) −3.65004 21.6684i −0.208659 1.23870i
\(307\) 24.3883i 1.39191i 0.718085 + 0.695956i \(0.245019\pi\)
−0.718085 + 0.695956i \(0.754981\pi\)
\(308\) 5.23943 + 13.1949i 0.298544 + 0.751848i
\(309\) −18.1966 26.2001i −1.03517 1.49047i
\(310\) 5.75131 0.326652
\(311\) −16.4246 + 28.4483i −0.931355 + 1.61315i −0.150346 + 0.988633i \(0.548039\pi\)
−0.781009 + 0.624520i \(0.785295\pi\)
\(312\) −3.09283 + 5.42535i −0.175097 + 0.307150i
\(313\) 11.3671 6.56281i 0.642508 0.370952i −0.143072 0.989712i \(-0.545698\pi\)
0.785580 + 0.618760i \(0.212365\pi\)
\(314\) −8.22323 + 14.2430i −0.464064 + 0.803782i
\(315\) 19.1932 11.6324i 1.08142 0.655413i
\(316\) −2.02845 3.51337i −0.114109 0.197643i
\(317\) −19.0370 + 10.9910i −1.06922 + 0.617317i −0.927969 0.372657i \(-0.878447\pi\)
−0.141254 + 0.989973i \(0.545114\pi\)
\(318\) 5.11326 + 2.40820i 0.286737 + 0.135045i
\(319\) −32.3229 −1.80973
\(320\) 1.41378 + 2.44875i 0.0790329 + 0.136889i
\(321\) −9.60699 + 0.803488i −0.536210 + 0.0448463i
\(322\) 1.86042 12.6861i 0.103677 0.706971i
\(323\) 15.9484 + 9.20783i 0.887395 + 0.512338i
\(324\) −8.50334 + 2.94843i −0.472408 + 0.163802i
\(325\) −4.65475 9.74445i −0.258199 0.540525i
\(326\) −5.20920 3.00753i −0.288511 0.166572i
\(327\) 9.20117 + 4.33350i 0.508826 + 0.239643i
\(328\) −10.3504 5.97580i −0.571504 0.329958i
\(329\) 12.2425 4.86127i 0.674952 0.268011i
\(330\) 23.7750 + 11.1974i 1.30877 + 0.616394i
\(331\) −6.48561 + 11.2334i −0.356481 + 0.617444i −0.987370 0.158429i \(-0.949357\pi\)
0.630889 + 0.775873i \(0.282690\pi\)
\(332\) −12.1228 −0.665327
\(333\) −1.89098 + 0.318536i −0.103625 + 0.0174557i
\(334\) −6.80763 3.93039i −0.372497 0.215061i
\(335\) −6.20124 + 10.7409i −0.338810 + 0.586836i
\(336\) 4.57372 + 0.284715i 0.249517 + 0.0155325i
\(337\) 27.9808 1.52421 0.762107 0.647451i \(-0.224165\pi\)
0.762107 + 0.647451i \(0.224165\pi\)
\(338\) 12.1312 4.67275i 0.659849 0.254164i
\(339\) 0.992417 + 1.42892i 0.0539007 + 0.0776083i
\(340\) 10.3553 + 17.9360i 0.561598 + 0.972716i
\(341\) 10.9145 0.591052
\(342\) 2.63390 7.06788i 0.142425 0.382187i
\(343\) −7.83543 + 16.7811i −0.423074 + 0.906095i
\(344\) −1.44953 + 0.836889i −0.0781536 + 0.0451220i
\(345\) −13.5389 19.4938i −0.728910 1.04951i
\(346\) −14.1126 8.14791i −0.758698 0.438034i
\(347\) 12.7624i 0.685124i 0.939495 + 0.342562i \(0.111295\pi\)
−0.939495 + 0.342562i \(0.888705\pi\)
\(348\) −4.44544 + 9.43884i −0.238300 + 0.505975i
\(349\) 12.8171 + 7.39994i 0.686082 + 0.396110i 0.802143 0.597133i \(-0.203693\pi\)
−0.116061 + 0.993242i \(0.537027\pi\)
\(350\) −4.91603 + 6.21519i −0.262773 + 0.332216i
\(351\) 17.5912 + 6.44597i 0.938947 + 0.344061i
\(352\) 2.68299 + 4.64708i 0.143004 + 0.247690i
\(353\) −8.65493 14.9908i −0.460656 0.797879i 0.538338 0.842729i \(-0.319052\pi\)
−0.998994 + 0.0448501i \(0.985719\pi\)
\(354\) 8.06149 0.674229i 0.428463 0.0358349i
\(355\) 20.2055 + 11.6657i 1.07240 + 0.619149i
\(356\) −16.2075 −0.858998
\(357\) 33.5005 + 2.08542i 1.77304 + 0.110372i
\(358\) −5.51220 9.54740i −0.291329 0.504596i
\(359\) −5.42394 + 3.13151i −0.286264 + 0.165275i −0.636256 0.771478i \(-0.719518\pi\)
0.349992 + 0.936753i \(0.386184\pi\)
\(360\) 6.53965 5.40271i 0.344670 0.284748i
\(361\) −6.33931 10.9800i −0.333648 0.577896i
\(362\) 3.78477 0.198923
\(363\) 27.8821 + 13.1317i 1.46343 + 0.689236i
\(364\) −6.99821 6.48267i −0.366806 0.339784i
\(365\) 5.07012i 0.265382i
\(366\) −8.76068 4.12604i −0.457928 0.215672i
\(367\) −23.3199 + 13.4638i −1.21729 + 0.702803i −0.964338 0.264675i \(-0.914735\pi\)
−0.252953 + 0.967478i \(0.581402\pi\)
\(368\) 4.84619i 0.252625i
\(369\) −12.5204 + 33.5977i −0.651788 + 1.74903i
\(370\) 1.56526 0.903702i 0.0813739 0.0469813i
\(371\) −5.35596 + 6.77138i −0.278068 + 0.351553i
\(372\) 1.50109 3.18722i 0.0778280 0.165249i
\(373\) −7.77432 + 13.4655i −0.402539 + 0.697218i −0.994032 0.109093i \(-0.965205\pi\)
0.591493 + 0.806310i \(0.298539\pi\)
\(374\) 19.6517 + 34.0378i 1.01617 + 1.76005i
\(375\) −0.818346 9.78464i −0.0422592 0.505276i
\(376\) 4.31167 2.48934i 0.222357 0.128378i
\(377\) 19.5975 9.36140i 1.00932 0.482137i
\(378\) −1.43694 13.6724i −0.0739081 0.703234i
\(379\) −18.5733 + 32.1700i −0.954049 + 1.65246i −0.217519 + 0.976056i \(0.569796\pi\)
−0.736530 + 0.676405i \(0.763537\pi\)
\(380\) 7.10916i 0.364692i
\(381\) 18.6244 + 8.77157i 0.954155 + 0.449381i
\(382\) 4.03202 6.98367i 0.206296 0.357316i
\(383\) 15.6693 27.1401i 0.800666 1.38679i −0.118513 0.992953i \(-0.537813\pi\)
0.919179 0.393841i \(-0.128854\pi\)
\(384\) 1.72602 0.144357i 0.0880808 0.00736671i
\(385\) −24.9035 + 31.4847i −1.26920 + 1.60461i
\(386\) −9.53225 + 5.50345i −0.485179 + 0.280118i
\(387\) 3.19813 + 3.87114i 0.162570 + 0.196781i
\(388\) 4.57690 2.64248i 0.232357 0.134151i
\(389\) 18.2426 + 10.5324i 0.924939 + 0.534014i 0.885207 0.465197i \(-0.154016\pi\)
0.0397316 + 0.999210i \(0.487350\pi\)
\(390\) −17.6579 + 0.0967215i −0.894142 + 0.00489768i
\(391\) 35.4963i 1.79512i
\(392\) −2.00987 + 6.70525i −0.101514 + 0.338666i
\(393\) 9.32674 6.47763i 0.470472 0.326753i
\(394\) 1.12820 1.95410i 0.0568378 0.0984459i
\(395\) 5.73557 9.93430i 0.288588 0.499849i
\(396\) 12.4105 10.2529i 0.623653 0.515229i
\(397\) 14.0444 + 8.10856i 0.704870 + 0.406957i 0.809159 0.587590i \(-0.199923\pi\)
−0.104289 + 0.994547i \(0.533257\pi\)
\(398\) 7.25276 0.363548
\(399\) 9.60086 + 6.36964i 0.480644 + 0.318881i
\(400\) −1.49757 + 2.59386i −0.0748784 + 0.129693i
\(401\) 18.6153i 0.929604i −0.885415 0.464802i \(-0.846126\pi\)
0.885415 0.464802i \(-0.153874\pi\)
\(402\) 4.33377 + 6.23992i 0.216149 + 0.311219i
\(403\) −6.61750 + 3.16107i −0.329641 + 0.157464i
\(404\) 0.0181979 + 0.0315196i 0.000905378 + 0.00156816i
\(405\) −19.2418 16.6541i −0.956135 0.827547i
\(406\) −12.4997 9.88686i −0.620348 0.490677i
\(407\) 2.97045 1.71499i 0.147240 0.0850089i
\(408\) 12.6424 1.05736i 0.625891 0.0523469i
\(409\) 9.43206i 0.466385i 0.972431 + 0.233193i \(0.0749173\pi\)
−0.972431 + 0.233193i \(0.925083\pi\)
\(410\) 33.7939i 1.66896i
\(411\) −25.8986 + 2.16605i −1.27748 + 0.106843i
\(412\) 15.9496 9.20853i 0.785782 0.453672i
\(413\) −1.79299 + 12.2264i −0.0882272 + 0.601619i
\(414\) −14.3366 + 2.41500i −0.704606 + 0.118691i
\(415\) −17.1391 29.6857i −0.841323 1.45721i
\(416\) −2.97260 2.04050i −0.145744 0.100044i
\(417\) −16.9371 24.3867i −0.829412 1.19422i
\(418\) 13.4913i 0.659883i
\(419\) −15.5700 + 26.9681i −0.760646 + 1.31748i 0.181873 + 0.983322i \(0.441784\pi\)
−0.942518 + 0.334155i \(0.891549\pi\)
\(420\) 5.76906 + 11.6024i 0.281501 + 0.566139i
\(421\) 1.34712 0.0656545 0.0328272 0.999461i \(-0.489549\pi\)
0.0328272 + 0.999461i \(0.489549\pi\)
\(422\) 4.07150 + 2.35068i 0.198197 + 0.114429i
\(423\) −9.51291 11.5148i −0.462534 0.559869i
\(424\) −1.63159 + 2.82599i −0.0792368 + 0.137242i
\(425\) −10.9690 + 18.9989i −0.532076 + 0.921583i
\(426\) 11.7384 8.15260i 0.568728 0.394995i
\(427\) 9.17651 11.6016i 0.444082 0.561441i
\(428\) 5.56596i 0.269041i
\(429\) −33.5100 + 0.183552i −1.61788 + 0.00886198i
\(430\) −4.09866 2.36636i −0.197655 0.114116i
\(431\) 1.40088 0.808798i 0.0674780 0.0389584i −0.465881 0.884847i \(-0.654263\pi\)
0.533359 + 0.845889i \(0.320929\pi\)
\(432\) −1.28718 5.03420i −0.0619297 0.242208i
\(433\) −2.72492 + 1.57323i −0.130951 + 0.0756048i −0.564045 0.825744i \(-0.690755\pi\)
0.433093 + 0.901349i \(0.357422\pi\)
\(434\) 4.22077 + 3.33850i 0.202603 + 0.160253i
\(435\) −29.3982 + 2.45874i −1.40954 + 0.117888i
\(436\) −2.93599 + 5.08529i −0.140609 + 0.243541i
\(437\) 6.09223 10.5521i 0.291431 0.504773i
\(438\) −2.80972 1.32330i −0.134254 0.0632298i
\(439\) 1.66372i 0.0794050i 0.999212 + 0.0397025i \(0.0126410\pi\)
−0.999212 + 0.0397025i \(0.987359\pi\)
\(440\) −7.58634 + 13.1399i −0.361664 + 0.626421i
\(441\) 20.8379 + 2.60442i 0.992280 + 0.124020i
\(442\) −21.7730 14.9457i −1.03564 0.710896i
\(443\) −12.6887 + 7.32582i −0.602858 + 0.348060i −0.770165 0.637844i \(-0.779826\pi\)
0.167307 + 0.985905i \(0.446493\pi\)
\(444\) −0.0922745 1.10329i −0.00437915 0.0523598i
\(445\) −22.9140 39.6882i −1.08623 1.88140i
\(446\) −10.6867 + 18.5099i −0.506030 + 0.876469i
\(447\) 8.45878 17.9602i 0.400087 0.849490i
\(448\) −0.383892 + 2.61775i −0.0181372 + 0.123677i
\(449\) 4.85551 2.80333i 0.229146 0.132297i −0.381032 0.924562i \(-0.624431\pi\)
0.610178 + 0.792264i \(0.291098\pi\)
\(450\) 8.41977 + 3.13769i 0.396912 + 0.147912i
\(451\) 64.1321i 3.01986i
\(452\) −0.869871 + 0.502220i −0.0409153 + 0.0236225i
\(453\) −19.2788 9.07980i −0.905798 0.426606i
\(454\) 12.4663i 0.585072i
\(455\) 5.98045 26.3019i 0.280368 1.23305i
\(456\) 3.93970 + 1.85549i 0.184494 + 0.0868914i
\(457\) 41.7616 1.95353 0.976763 0.214324i \(-0.0687548\pi\)
0.976763 + 0.214324i \(0.0687548\pi\)
\(458\) −5.25087 9.09478i −0.245357 0.424971i
\(459\) −9.42806 36.8733i −0.440064 1.72110i
\(460\) 11.8671 6.85147i 0.553306 0.319451i
\(461\) −10.8220 18.7442i −0.504030 0.873005i −0.999989 0.00465958i \(-0.998517\pi\)
0.495959 0.868346i \(-0.334817\pi\)
\(462\) 10.9482 + 22.0183i 0.509355 + 1.02439i
\(463\) −0.578725 −0.0268956 −0.0134478 0.999910i \(-0.504281\pi\)
−0.0134478 + 0.999910i \(0.504281\pi\)
\(464\) −5.21665 3.01183i −0.242177 0.139821i
\(465\) 9.92690 0.830244i 0.460349 0.0385016i
\(466\) 1.60817 + 2.78543i 0.0744971 + 0.129033i
\(467\) −10.1683 17.6119i −0.470531 0.814983i 0.528901 0.848683i \(-0.322604\pi\)
−0.999432 + 0.0337004i \(0.989271\pi\)
\(468\) −4.55511 + 9.81076i −0.210560 + 0.453502i
\(469\) −10.7858 + 4.28283i −0.498041 + 0.197763i
\(470\) 12.1915 + 7.03879i 0.562354 + 0.324675i
\(471\) −12.1374 + 25.7709i −0.559262 + 1.18746i
\(472\) 4.67055i 0.214980i
\(473\) −7.77818 4.49073i −0.357641 0.206484i
\(474\) −4.00833 5.77135i −0.184109 0.265087i
\(475\) −6.52158 + 3.76524i −0.299231 + 0.172761i
\(476\) −2.81184 + 19.1739i −0.128881 + 0.878834i
\(477\) 9.17325 + 3.41848i 0.420014 + 0.156522i
\(478\) 11.9941 0.548597
\(479\) 7.80327 + 13.5157i 0.356540 + 0.617546i 0.987380 0.158367i \(-0.0506229\pi\)
−0.630840 + 0.775913i \(0.717290\pi\)
\(480\) 2.79372 + 4.02250i 0.127515 + 0.183601i
\(481\) −1.30430 + 1.90011i −0.0594711 + 0.0866377i
\(482\) −18.3905 −0.837666
\(483\) 1.37979 22.1651i 0.0627824 1.00855i
\(484\) −8.89688 + 15.4099i −0.404404 + 0.700448i
\(485\) 12.9415 + 7.47178i 0.587643 + 0.339276i
\(486\) −14.2513 + 6.31659i −0.646454 + 0.286526i
\(487\) 22.4792 1.01863 0.509315 0.860580i \(-0.329899\pi\)
0.509315 + 0.860580i \(0.329899\pi\)
\(488\) 2.79544 4.84184i 0.126544 0.219180i
\(489\) −9.42537 4.43909i −0.426230 0.200743i
\(490\) −19.2610 + 4.55812i −0.870122 + 0.205915i
\(491\) −28.7412 16.5938i −1.29707 0.748866i −0.317176 0.948367i \(-0.602735\pi\)
−0.979898 + 0.199501i \(0.936068\pi\)
\(492\) −18.7277 8.82022i −0.844309 0.397646i
\(493\) −38.2097 22.0604i −1.72088 0.993549i
\(494\) −3.90738 8.17987i −0.175801 0.368030i
\(495\) 42.6526 + 15.8948i 1.91709 + 0.714419i
\(496\) 1.76151 + 1.01701i 0.0790940 + 0.0456649i
\(497\) 8.05677 + 20.2900i 0.361395 + 0.910131i
\(498\) −20.9243 + 1.75002i −0.937640 + 0.0784203i
\(499\) −13.3645 23.1479i −0.598276 1.03624i −0.993076 0.117477i \(-0.962519\pi\)
0.394800 0.918767i \(-0.370814\pi\)
\(500\) 5.66889 0.253520
\(501\) −12.3175 5.80121i −0.550306 0.259179i
\(502\) −9.05503 + 5.22792i −0.404146 + 0.233334i
\(503\) −1.69136 2.92951i −0.0754138 0.130621i 0.825852 0.563886i \(-0.190694\pi\)
−0.901266 + 0.433266i \(0.857361\pi\)
\(504\) 7.93546 0.168825i 0.353473 0.00752007i
\(505\) −0.0514557 + 0.0891239i −0.00228975 + 0.00396596i
\(506\) 22.5206 13.0023i 1.00116 0.578023i
\(507\) 20.2642 9.81651i 0.899963 0.435967i
\(508\) −5.94284 + 10.2933i −0.263671 + 0.456691i
\(509\) −31.3346 −1.38888 −0.694441 0.719550i \(-0.744348\pi\)
−0.694441 + 0.719550i \(0.744348\pi\)
\(510\) 20.4628 + 29.4631i 0.906107 + 1.30465i
\(511\) 2.94309 3.72086i 0.130195 0.164601i
\(512\) 1.00000i 0.0441942i
\(513\) 3.52588 12.5796i 0.155671 0.555401i
\(514\) 1.76706i 0.0779416i
\(515\) 45.0987 + 26.0377i 1.98729 + 1.14736i
\(516\) −2.38112 + 1.65374i −0.104823 + 0.0728019i
\(517\) 23.1364 + 13.3578i 1.01754 + 0.587474i
\(518\) 1.67329 + 0.245387i 0.0735201 + 0.0107817i
\(519\) −25.5349 12.0262i −1.12086 0.527893i
\(520\) 0.794034 10.1640i 0.0348207 0.445720i
\(521\) −9.29916 + 16.1066i −0.407403 + 0.705644i −0.994598 0.103802i \(-0.966899\pi\)
0.587194 + 0.809446i \(0.300232\pi\)
\(522\) −6.31036 + 16.9334i −0.276197 + 0.741155i
\(523\) 3.78482i 0.165499i 0.996570 + 0.0827493i \(0.0263701\pi\)
−0.996570 + 0.0827493i \(0.973630\pi\)
\(524\) 3.27806 + 5.67776i 0.143203 + 0.248034i
\(525\) −7.58797 + 11.4372i −0.331166 + 0.499162i
\(526\) 10.4975 + 18.1822i 0.457712 + 0.792781i
\(527\) 12.9023 + 7.44913i 0.562032 + 0.324489i
\(528\) 5.30175 + 7.63366i 0.230729 + 0.332212i
\(529\) −0.485594 −0.0211128
\(530\) −9.22683 −0.400788
\(531\) 13.8170 2.32747i 0.599607 0.101004i
\(532\) −4.12670 + 5.21727i −0.178915 + 0.226197i
\(533\) 18.5740 + 38.8836i 0.804530 + 1.68424i
\(534\) −27.9746 + 2.33968i −1.21058 + 0.101248i
\(535\) 13.6296 7.86907i 0.589260 0.340209i
\(536\) −3.79862 + 2.19314i −0.164076 + 0.0947291i
\(537\) −10.8924 15.6833i −0.470043 0.676785i
\(538\) 17.5469i 0.756499i
\(539\) −36.5523 + 8.65012i −1.57442 + 0.372587i
\(540\) 10.5077 10.2693i 0.452178 0.441918i
\(541\) 12.8908 + 22.3276i 0.554221 + 0.959938i 0.997964 + 0.0637841i \(0.0203169\pi\)
−0.443743 + 0.896154i \(0.646350\pi\)
\(542\) 22.1933 0.953282
\(543\) 6.53260 0.546359i 0.280341 0.0234465i
\(544\) 7.32456i 0.314038i
\(545\) −16.6034 −0.711213
\(546\) −13.0149 10.1790i −0.556987 0.435621i
\(547\) −17.2559 −0.737809 −0.368905 0.929467i \(-0.620267\pi\)
−0.368905 + 0.929467i \(0.620267\pi\)
\(548\) 15.0048i 0.640972i
\(549\) −15.7168 5.85698i −0.670776 0.249970i
\(550\) −16.0719 −0.685306
\(551\) −7.57245 13.1159i −0.322597 0.558755i
\(552\) −0.699584 8.36465i −0.0297763 0.356023i
\(553\) 9.97585 3.96122i 0.424216 0.168448i
\(554\) 12.8518i 0.546021i
\(555\) 2.57122 1.78577i 0.109142 0.0758017i
\(556\) 14.8457 8.57114i 0.629596 0.363497i
\(557\) 34.8056 20.0950i 1.47476 0.851454i 0.475166 0.879896i \(-0.342388\pi\)
0.999595 + 0.0284423i \(0.00905468\pi\)
\(558\) 2.13082 5.71791i 0.0902049 0.242058i
\(559\) 6.01656 + 0.470029i 0.254473 + 0.0198801i
\(560\) −6.95295 + 2.76088i −0.293816 + 0.116669i
\(561\) 38.8330 + 55.9132i 1.63953 + 2.36066i
\(562\) 26.5541 1.12012
\(563\) −36.7290 −1.54794 −0.773971 0.633221i \(-0.781732\pi\)
−0.773971 + 0.633221i \(0.781732\pi\)
\(564\) 7.08269 4.91909i 0.298235 0.207131i
\(565\) −2.45962 1.42006i −0.103477 0.0597424i
\(566\) 0.769566 + 1.33293i 0.0323473 + 0.0560271i
\(567\) −4.45391 23.3915i −0.187047 0.982351i
\(568\) 4.12569 + 7.14590i 0.173110 + 0.299835i
\(569\) 11.6897i 0.490058i −0.969516 0.245029i \(-0.921203\pi\)
0.969516 0.245029i \(-0.0787975\pi\)
\(570\) 1.02626 + 12.2706i 0.0429853 + 0.513959i
\(571\) −3.35122 + 5.80449i −0.140244 + 0.242910i −0.927589 0.373603i \(-0.878122\pi\)
0.787344 + 0.616514i \(0.211455\pi\)
\(572\) 1.50687 19.2886i 0.0630054 0.806495i
\(573\) 5.95123 12.6360i 0.248616 0.527878i
\(574\) 19.6166 24.8007i 0.818781 1.03516i
\(575\) 12.5704 + 7.25751i 0.524221 + 0.302659i
\(576\) 2.95832 0.498329i 0.123263 0.0207637i
\(577\) −11.0699 6.39122i −0.460847 0.266070i 0.251553 0.967843i \(-0.419059\pi\)
−0.712400 + 0.701773i \(0.752392\pi\)
\(578\) 36.6492i 1.52441i
\(579\) −15.6584 + 10.8751i −0.650742 + 0.451955i
\(580\) 17.0323i 0.707229i
\(581\) 4.65386 31.7346i 0.193075 1.31657i
\(582\) 7.51838 5.22169i 0.311647 0.216446i
\(583\) −17.5101 −0.725195
\(584\) 0.896552 1.55287i 0.0370996 0.0642584i
\(585\) −30.4640 + 2.71599i −1.25953 + 0.112292i
\(586\) −5.76094 + 3.32608i −0.237982 + 0.137399i
\(587\) −9.01119 + 15.6078i −0.371932 + 0.644204i −0.989863 0.142028i \(-0.954638\pi\)
0.617931 + 0.786232i \(0.287971\pi\)
\(588\) −2.50113 + 11.8636i −0.103145 + 0.489245i
\(589\) 2.55699 + 4.42884i 0.105359 + 0.182487i
\(590\) −11.4370 + 6.60315i −0.470854 + 0.271847i
\(591\) 1.66521 3.53568i 0.0684975 0.145439i
\(592\) 0.639208 0.0262713
\(593\) 6.20188 + 10.7420i 0.254681 + 0.441120i 0.964809 0.262953i \(-0.0846963\pi\)
−0.710128 + 0.704073i \(0.751363\pi\)
\(594\) 19.9408 19.4884i 0.818181 0.799617i
\(595\) −50.9273 + 20.2223i −2.08782 + 0.829032i
\(596\) 9.92624 + 5.73092i 0.406595 + 0.234748i
\(597\) 12.5184 1.04699i 0.512345 0.0428504i
\(598\) −9.88864 + 14.4058i −0.404376 + 0.589098i
\(599\) 20.8366 + 12.0300i 0.851359 + 0.491532i 0.861109 0.508420i \(-0.169770\pi\)
−0.00974999 + 0.999952i \(0.503104\pi\)
\(600\) −2.21040 + 4.69326i −0.0902390 + 0.191601i
\(601\) −38.2975 22.1111i −1.56219 0.901930i −0.997036 0.0769429i \(-0.975484\pi\)
−0.565152 0.824987i \(-0.691183\pi\)
\(602\) −1.63430 4.11580i −0.0666092 0.167747i
\(603\) 8.38097 + 10.1446i 0.341299 + 0.413122i
\(604\) 6.15167 10.6550i 0.250308 0.433546i
\(605\) −50.3131 −2.04552
\(606\) 0.0359601 + 0.0517767i 0.00146078 + 0.00210328i
\(607\) −2.02607 1.16975i −0.0822358 0.0474789i 0.458318 0.888788i \(-0.348452\pi\)
−0.540554 + 0.841309i \(0.681785\pi\)
\(608\) −1.25712 + 2.17739i −0.0509828 + 0.0883048i
\(609\) −23.0020 15.2605i −0.932087 0.618389i
\(610\) 15.8086 0.640071
\(611\) −17.8964 1.39811i −0.724010 0.0565615i
\(612\) 21.6684 3.65004i 0.875894 0.147544i
\(613\) 20.8792 + 36.1638i 0.843302 + 1.46064i 0.887088 + 0.461601i \(0.152725\pi\)
−0.0437858 + 0.999041i \(0.513942\pi\)
\(614\) −24.3883 −0.984230
\(615\) −4.87841 58.3292i −0.196716 2.35206i
\(616\) −13.1949 + 5.23943i −0.531637 + 0.211103i
\(617\) 21.2369 12.2611i 0.854965 0.493614i −0.00735804 0.999973i \(-0.502342\pi\)
0.862323 + 0.506359i \(0.169009\pi\)
\(618\) 26.2001 18.1966i 1.05392 0.731974i
\(619\) −6.74880 3.89642i −0.271257 0.156610i 0.358202 0.933644i \(-0.383390\pi\)
−0.629459 + 0.777034i \(0.716723\pi\)
\(620\) 5.75131i 0.230978i
\(621\) −24.3967 + 6.23794i −0.979006 + 0.250320i
\(622\) −28.4483 16.4246i −1.14067 0.658567i
\(623\) 6.22195 42.4273i 0.249277 1.69982i
\(624\) −5.42535 3.09283i −0.217188 0.123812i
\(625\) 15.5024 + 26.8510i 0.620097 + 1.07404i
\(626\) 6.56281 + 11.3671i 0.262303 + 0.454322i
\(627\) 1.94757 + 23.2864i 0.0777786 + 0.929968i
\(628\) −14.2430 8.22323i −0.568360 0.328143i
\(629\) 4.68192 0.186681
\(630\) 11.6324 + 19.1932i 0.463447 + 0.764677i
\(631\) 10.1378 + 17.5592i 0.403580 + 0.699021i 0.994155 0.107961i \(-0.0344323\pi\)
−0.590575 + 0.806983i \(0.701099\pi\)
\(632\) 3.51337 2.02845i 0.139755 0.0806873i
\(633\) 7.36684 + 3.46958i 0.292806 + 0.137903i
\(634\) −10.9910 19.0370i −0.436509 0.756055i
\(635\) −33.6075 −1.33367
\(636\) −2.40820 + 5.11326i −0.0954915 + 0.202754i
\(637\) 19.6566 15.8309i 0.778822 0.627245i
\(638\) 32.3229i 1.27968i
\(639\) 19.0839 15.7661i 0.754948 0.623698i
\(640\) −2.44875 + 1.41378i −0.0967951 + 0.0558847i
\(641\) 41.3155i 1.63186i 0.578149 + 0.815931i \(0.303775\pi\)
−0.578149 + 0.815931i \(0.696225\pi\)
\(642\) −0.803488 9.60699i −0.0317111 0.379158i
\(643\) 29.2874 16.9091i 1.15498 0.666828i 0.204884 0.978786i \(-0.434318\pi\)
0.950096 + 0.311958i \(0.100985\pi\)
\(644\) 12.6861 + 1.86042i 0.499904 + 0.0733106i
\(645\) −7.41598 3.49272i −0.292004 0.137526i
\(646\) −9.20783 + 15.9484i −0.362277 + 0.627483i
\(647\) −12.4285 21.5268i −0.488615 0.846306i 0.511299 0.859403i \(-0.329164\pi\)
−0.999914 + 0.0130964i \(0.995831\pi\)
\(648\) −2.94843 8.50334i −0.115825 0.334043i
\(649\) −21.7044 + 12.5311i −0.851973 + 0.491887i
\(650\) 9.74445 4.65475i 0.382209 0.182574i
\(651\) 7.76709 + 5.15303i 0.304416 + 0.201963i
\(652\) 3.00753 5.20920i 0.117784 0.204008i
\(653\) 9.90848i 0.387749i 0.981026 + 0.193874i \(0.0621054\pi\)
−0.981026 + 0.193874i \(0.937895\pi\)
\(654\) −4.33350 + 9.20117i −0.169453 + 0.359794i
\(655\) −9.26893 + 16.0542i −0.362167 + 0.627291i
\(656\) 5.97580 10.3504i 0.233316 0.404115i
\(657\) −5.04068 1.87845i −0.196656 0.0732852i
\(658\) 4.86127 + 12.2425i 0.189512 + 0.477263i
\(659\) −14.5005 + 8.37187i −0.564859 + 0.326122i −0.755094 0.655617i \(-0.772409\pi\)
0.190234 + 0.981739i \(0.439075\pi\)
\(660\) −11.1974 + 23.7750i −0.435857 + 0.925440i
\(661\) 4.25236 2.45510i 0.165398 0.0954923i −0.415016 0.909814i \(-0.636224\pi\)
0.580414 + 0.814322i \(0.302891\pi\)
\(662\) −11.2334 6.48561i −0.436599 0.252070i
\(663\) −39.7383 22.6536i −1.54331 0.879794i
\(664\) 12.1228i 0.470457i
\(665\) −18.6100 2.72915i −0.721666 0.105832i
\(666\) −0.318536 1.89098i −0.0123430 0.0732742i
\(667\) −14.5959 + 25.2809i −0.565157 + 0.978880i
\(668\) 3.93039 6.80763i 0.152071 0.263395i
\(669\) −15.7735 + 33.4912i −0.609837 + 1.29485i
\(670\) −10.7409 6.20124i −0.414956 0.239575i
\(671\) 30.0005 1.15816
\(672\) −0.284715 + 4.57372i −0.0109831 + 0.176435i
\(673\) 8.86744 15.3589i 0.341815 0.592040i −0.642955 0.765904i \(-0.722292\pi\)
0.984770 + 0.173863i \(0.0556251\pi\)
\(674\) 27.9808i 1.07778i
\(675\) 14.9857 + 4.20028i 0.576799 + 0.161669i
\(676\) 4.67275 + 12.1312i 0.179721 + 0.466584i
\(677\) 23.2931 + 40.3449i 0.895228 + 1.55058i 0.833522 + 0.552486i \(0.186321\pi\)
0.0617058 + 0.998094i \(0.480346\pi\)
\(678\) −1.42892 + 0.992417i −0.0548773 + 0.0381135i
\(679\) 5.16031 + 12.9956i 0.198035 + 0.498726i
\(680\) −17.9360 + 10.3553i −0.687814 + 0.397110i
\(681\) 1.79960 + 21.5171i 0.0689609 + 0.824538i
\(682\) 10.9145i 0.417937i
\(683\) 24.3511i 0.931770i 0.884845 + 0.465885i \(0.154264\pi\)
−0.884845 + 0.465885i \(0.845736\pi\)
\(684\) 7.06788 + 2.63390i 0.270247 + 0.100710i
\(685\) 36.7428 21.2135i 1.40387 0.810526i
\(686\) −16.7811 7.83543i −0.640706 0.299158i
\(687\) −10.3760 14.9398i −0.395870 0.569989i
\(688\) −0.836889 1.44953i −0.0319061 0.0552630i
\(689\) 10.6165 5.07130i 0.404455 0.193201i
\(690\) 19.4938 13.5389i 0.742118 0.515417i
\(691\) 16.4387i 0.625359i −0.949859 0.312680i \(-0.898773\pi\)
0.949859 0.312680i \(-0.101227\pi\)
\(692\) 8.14791 14.1126i 0.309737 0.536480i
\(693\) 22.0753 + 36.4237i 0.838572 + 1.38362i
\(694\) −12.7624 −0.484456
\(695\) 41.9771 + 24.2355i 1.59228 + 0.919304i
\(696\) −9.43884 4.44544i −0.357778 0.168504i
\(697\) 43.7701 75.8121i 1.65791 2.87159i
\(698\) −7.39994 + 12.8171i −0.280092 + 0.485133i
\(699\) 3.17784 + 4.57558i 0.120197 + 0.173064i
\(700\) −6.21519 4.91603i −0.234912 0.185808i
\(701\) 39.4946i 1.49169i −0.666120 0.745844i \(-0.732046\pi\)
0.666120 0.745844i \(-0.267954\pi\)
\(702\) −6.44597 + 17.5912i −0.243288 + 0.663936i
\(703\) 1.39181 + 0.803560i 0.0524930 + 0.0303068i
\(704\) −4.64708 + 2.68299i −0.175143 + 0.101119i
\(705\) 22.0590 + 10.3892i 0.830790 + 0.391279i
\(706\) 14.9908 8.65493i 0.564186 0.325733i
\(707\) −0.0894966 + 0.0355374i −0.00336587 + 0.00133652i
\(708\) 0.674229 + 8.06149i 0.0253391 + 0.302969i
\(709\) 5.92435 10.2613i 0.222493 0.385370i −0.733071 0.680152i \(-0.761914\pi\)
0.955564 + 0.294782i \(0.0952471\pi\)
\(710\) −11.6657 + 20.2055i −0.437804 + 0.758299i
\(711\) −7.75162 9.38286i −0.290708 0.351885i
\(712\) 16.2075i 0.607404i
\(713\) 4.92861 8.53660i 0.184578 0.319698i
\(714\) −2.08542 + 33.5005i −0.0780447 + 1.25373i
\(715\) 49.3631 23.5799i 1.84608 0.881838i
\(716\) 9.54740 5.51220i 0.356803 0.206000i
\(717\) 20.7021 1.73144i 0.773135 0.0646617i
\(718\) −3.13151 5.42394i −0.116867 0.202419i
\(719\) 18.6611 32.3220i 0.695942 1.20541i −0.273920 0.961753i \(-0.588320\pi\)
0.969862 0.243655i \(-0.0783464\pi\)
\(720\) 5.40271 + 6.53965i 0.201347 + 0.243718i
\(721\) 17.9827 + 45.2873i 0.669711 + 1.68659i
\(722\) 10.9800 6.33931i 0.408634 0.235925i
\(723\) −31.7425 + 2.65481i −1.18052 + 0.0987334i
\(724\) 3.78477i 0.140660i
\(725\) 15.6246 9.02085i 0.580282 0.335026i
\(726\) −13.1317 + 27.8821i −0.487364 + 1.03480i
\(727\) 42.1110i 1.56181i −0.624650 0.780905i \(-0.714758\pi\)
0.624650 0.780905i \(-0.285242\pi\)
\(728\) 6.48267 6.99821i 0.240264 0.259371i
\(729\) −23.6863 + 12.9599i −0.877271 + 0.479995i
\(730\) 5.07012 0.187654
\(731\) −6.12985 10.6172i −0.226721 0.392692i
\(732\) 4.12604 8.76068i 0.152503 0.323804i
\(733\) 33.9637 19.6090i 1.25448 0.724274i 0.282484 0.959272i \(-0.408842\pi\)
0.971996 + 0.234998i \(0.0755084\pi\)
\(734\) −13.4638 23.3199i −0.496957 0.860755i
\(735\) −32.5869 + 10.6479i −1.20199 + 0.392754i
\(736\) 4.84619 0.178633
\(737\) −20.3834 11.7683i −0.750830 0.433492i
\(738\) −33.5977 12.5204i −1.23675 0.460884i
\(739\) −6.88122 11.9186i −0.253130 0.438433i 0.711256 0.702933i \(-0.248127\pi\)
−0.964386 + 0.264499i \(0.914793\pi\)
\(740\) 0.903702 + 1.56526i 0.0332208 + 0.0575401i
\(741\) −7.92506 13.5546i −0.291134 0.497940i
\(742\) −6.77138 5.35596i −0.248585 0.196623i
\(743\) 35.2355 + 20.3432i 1.29266 + 0.746320i 0.979126 0.203256i \(-0.0651522\pi\)
0.313538 + 0.949576i \(0.398486\pi\)
\(744\) 3.18722 + 1.50109i 0.116849 + 0.0550327i
\(745\) 32.4091i 1.18738i
\(746\) −13.4655 7.77432i −0.493007 0.284638i
\(747\) −35.8632 + 6.04116i −1.31217 + 0.221034i
\(748\) −34.0378 + 19.6517i −1.24455 + 0.718539i
\(749\) 14.5703 + 2.13673i 0.532388 + 0.0780744i
\(750\) 9.78464 0.818346i 0.357284 0.0298818i
\(751\) 19.4558 0.709952 0.354976 0.934875i \(-0.384489\pi\)
0.354976 + 0.934875i \(0.384489\pi\)
\(752\) 2.48934 + 4.31167i 0.0907770 + 0.157230i
\(753\) −14.8745 + 10.3307i −0.542057 + 0.376471i
\(754\) 9.36140 + 19.5975i 0.340922 + 0.713700i
\(755\) 34.7885 1.26608
\(756\) 13.6724 1.43694i 0.497261 0.0522610i
\(757\) −9.52424 + 16.4965i −0.346164 + 0.599574i −0.985565 0.169300i \(-0.945849\pi\)
0.639400 + 0.768874i \(0.279183\pi\)
\(758\) −32.1700 18.5733i −1.16847 0.674614i
\(759\) 36.9942 25.6933i 1.34280 0.932608i
\(760\) −7.10916 −0.257877
\(761\) 21.8081 37.7727i 0.790543 1.36926i −0.135088 0.990834i \(-0.543132\pi\)
0.925631 0.378427i \(-0.123535\pi\)
\(762\) −8.77157 + 18.6244i −0.317760 + 0.674690i
\(763\) −12.1849 9.63791i −0.441124 0.348916i
\(764\) 6.98367 + 4.03202i 0.252660 + 0.145874i
\(765\) 39.5725 + 47.9001i 1.43075 + 1.73183i
\(766\) 27.1401 + 15.6693i 0.980611 + 0.566156i
\(767\) 9.53024 13.8837i 0.344117 0.501312i
\(768\) 0.144357 + 1.72602i 0.00520905 + 0.0622825i
\(769\) 10.8919 + 6.28847i 0.392774 + 0.226768i 0.683361 0.730080i \(-0.260517\pi\)
−0.290588 + 0.956848i \(0.593851\pi\)
\(770\) −31.4847 24.9035i −1.13463 0.897459i
\(771\) −0.255088 3.04999i −0.00918677 0.109843i
\(772\) −5.50345 9.53225i −0.198073 0.343073i
\(773\) −15.9038 −0.572018 −0.286009 0.958227i \(-0.592329\pi\)
−0.286009 + 0.958227i \(0.592329\pi\)
\(774\) −3.87114 + 3.19813i −0.139145 + 0.114954i
\(775\) −5.27595 + 3.04607i −0.189518