Properties

Label 546.2.bb.a.269.5
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 269.5
Character \(\chi\) \(=\) 546.269
Dual form 546.2.bb.a.341.24

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-1.42260 - 0.988029i) q^{3} -1.00000 q^{4} +(1.41378 + 2.44875i) q^{5} +(-0.988029 + 1.42260i) q^{6} +(0.383892 - 2.61775i) q^{7} +1.00000i q^{8} +(1.04760 + 2.81115i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-1.42260 - 0.988029i) q^{3} -1.00000 q^{4} +(1.41378 + 2.44875i) q^{5} +(-0.988029 + 1.42260i) q^{6} +(0.383892 - 2.61775i) q^{7} +1.00000i q^{8} +(1.04760 + 2.81115i) q^{9} +(2.44875 - 1.41378i) q^{10} +(-4.64708 + 2.68299i) q^{11} +(1.42260 + 0.988029i) q^{12} +(-2.04050 + 2.97260i) q^{13} +(-2.61775 - 0.383892i) q^{14} +(0.408180 - 4.88045i) q^{15} +1.00000 q^{16} -7.32456 q^{17} +(2.81115 - 1.04760i) q^{18} +(2.17739 + 1.25712i) q^{19} +(-1.41378 - 2.44875i) q^{20} +(-3.13254 + 3.34472i) q^{21} +(2.68299 + 4.64708i) q^{22} +4.84619i q^{23} +(0.988029 - 1.42260i) 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} +(-4.88045 - 0.408180i) q^{30} +(1.76151 + 1.01701i) q^{31} -1.00000i q^{32} +(9.26182 + 0.774619i) q^{33} +7.32456i q^{34} +(6.95295 - 2.76088i) q^{35} +(-1.04760 - 2.81115i) q^{36} +0.639208 q^{37} +(1.25712 - 2.17739i) q^{38} +(5.83984 - 2.21276i) q^{39} +(-2.44875 + 1.41378i) q^{40} +(-5.97580 + 10.3504i) q^{41} +(3.34472 + 3.13254i) 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} +(-1.42260 - 0.988029i) q^{48} +(-6.70525 - 2.00987i) q^{49} +(2.59386 + 1.49757i) q^{50} +(10.4199 + 7.23689i) 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} +(-0.408180 + 4.88045i) q^{60} +(4.84184 + 2.79544i) q^{61} +(1.01701 - 1.76151i) q^{62} +(7.76105 - 1.66317i) q^{63} -1.00000 q^{64} +(-10.1640 - 0.794034i) q^{65} +(0.774619 - 9.26182i) q^{66} +(-2.19314 - 3.79862i) q^{67} +7.32456 q^{68} +(4.78818 - 6.89421i) q^{69} +(-2.76088 - 6.95295i) q^{70} +(7.14590 - 4.12569i) q^{71} +(-2.81115 + 1.04760i) 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} +(-2.21276 - 5.83984i) q^{78} +(2.02845 + 3.51337i) q^{79} +(1.41378 + 2.44875i) q^{80} +(-6.80509 + 5.88989i) q^{81} +(10.3504 + 5.97580i) q^{82} -12.1228 q^{83} +(3.13254 - 3.34472i) 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} +(-0.988029 + 1.42260i) 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
\(3\) −1.42260 0.988029i −0.821340 0.570439i
\(4\) −1.00000 −0.500000
\(5\) 1.41378 + 2.44875i 0.632263 + 1.09511i 0.987088 + 0.160179i \(0.0512072\pi\)
−0.354825 + 0.934933i \(0.615459\pi\)
\(6\) −0.988029 + 1.42260i −0.403361 + 0.580775i
\(7\) 0.383892 2.61775i 0.145098 0.989417i
\(8\) 1.00000i 0.353553i
\(9\) 1.04760 + 2.81115i 0.349198 + 0.937049i
\(10\) 2.44875 1.41378i 0.774361 0.447078i
\(11\) −4.64708 + 2.68299i −1.40115 + 0.808952i −0.994510 0.104638i \(-0.966632\pi\)
−0.406636 + 0.913590i \(0.633298\pi\)
\(12\) 1.42260 + 0.988029i 0.410670 + 0.285220i
\(13\) −2.04050 + 2.97260i −0.565932 + 0.824452i
\(14\) −2.61775 0.383892i −0.699624 0.102599i
\(15\) 0.408180 4.88045i 0.105392 1.26013i
\(16\) 1.00000 0.250000
\(17\) −7.32456 −1.77647 −0.888234 0.459392i \(-0.848067\pi\)
−0.888234 + 0.459392i \(0.848067\pi\)
\(18\) 2.81115 1.04760i 0.662594 0.246921i
\(19\) 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
\(21\) −3.13254 + 3.34472i −0.683577 + 0.729879i
\(22\) 2.68299 + 4.64708i 0.572016 + 0.990760i
\(23\) 4.84619i 1.01050i 0.862973 + 0.505251i \(0.168600\pi\)
−0.862973 + 0.505251i \(0.831400\pi\)
\(24\) 0.988029 1.42260i 0.201681 0.290388i
\(25\) −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 0.898842 0.438273i \(-0.144410\pi\)
0.0698653 + 0.997556i \(0.477743\pi\)
\(30\) −4.88045 0.408180i −0.891044 0.0745232i
\(31\) 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
\(33\) 9.26182 + 0.774619i 1.61228 + 0.134844i
\(34\) 7.32456i 1.25615i
\(35\) 6.95295 2.76088i 1.17526 0.466674i
\(36\) −1.04760 2.81115i −0.174599 0.468524i
\(37\) 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
\(39\) 5.83984 2.21276i 0.935122 0.354326i
\(40\) −2.44875 + 1.41378i −0.387181 + 0.223539i
\(41\) −5.97580 + 10.3504i −0.933263 + 1.61646i −0.155560 + 0.987826i \(0.549718\pi\)
−0.777703 + 0.628632i \(0.783615\pi\)
\(42\) 3.34472 + 3.13254i 0.516102 + 0.483362i
\(43\) −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 0.625362 0.780334i \(-0.284951\pi\)
−0.988471 + 0.151413i \(0.951618\pi\)
\(48\) −1.42260 0.988029i −0.205335 0.142610i
\(49\) −6.70525 2.00987i −0.957893 0.287124i
\(50\) 2.59386 + 1.49757i 0.366828 + 0.211788i
\(51\) 10.4199 + 7.23689i 1.45908 + 1.01337i
\(52\) 2.04050 2.97260i 0.282966 0.412226i
\(53\) 2.82599 + 1.63159i 0.388179 + 0.224115i 0.681371 0.731938i \(-0.261384\pi\)
−0.293192 + 0.956054i \(0.594717\pi\)
\(54\) −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 \(-0.401669\pi\)
0.304027 + 0.952663i \(0.401669\pi\)
\(60\) −0.408180 + 4.88045i −0.0526958 + 0.630063i
\(61\) 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
\(63\) 7.76105 1.66317i 0.977800 0.209540i
\(64\) −1.00000 −0.125000
\(65\) −10.1640 0.794034i −1.26069 0.0984878i
\(66\) 0.774619 9.26182i 0.0953491 1.14005i
\(67\) −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
\(69\) 4.78818 6.89421i 0.576429 0.829965i
\(70\) −2.76088 6.95295i −0.329988 0.831036i
\(71\) 7.14590 4.12569i 0.848062 0.489629i −0.0119346 0.999929i \(-0.503799\pi\)
0.859996 + 0.510300i \(0.170466\pi\)
\(72\) −2.81115 + 1.04760i −0.331297 + 0.123460i
\(73\) 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
\(78\) −2.21276 5.83984i −0.250546 0.661231i
\(79\) 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
\(81\) −6.80509 + 5.88989i −0.756121 + 0.654432i
\(82\) 10.3504 + 5.97580i 1.14301 + 0.659916i
\(83\) −12.1228 −1.33065 −0.665327 0.746552i \(-0.731708\pi\)
−0.665327 + 0.746552i \(0.731708\pi\)
\(84\) 3.13254 3.34472i 0.341788 0.364939i
\(85\) −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 \(-0.828913\pi\)
−0.858998 + 0.511978i \(0.828913\pi\)
\(90\) 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
\(96\) −0.988029 + 1.42260i −0.100840 + 0.145194i
\(97\) −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 0.866929 0.498431i \(-0.166090\pi\)
−0.865119 + 0.501567i \(0.832757\pi\)
\(102\) 7.23689 10.4199i 0.716558 1.03173i
\(103\) −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
\(105\) −12.6191 2.94208i −1.23150 0.287118i
\(106\) 1.63159 2.82599i 0.158474 0.274484i
\(107\) 5.56596i 0.538082i −0.963129 0.269041i \(-0.913293\pi\)
0.963129 0.269041i \(-0.0867067\pi\)
\(108\) −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
\(111\) −0.909340 0.631557i −0.0863107 0.0599447i
\(112\) 0.383892 2.61775i 0.0362744 0.247354i
\(113\) −0.869871 + 0.502220i −0.0818306 + 0.0472449i −0.540357 0.841436i \(-0.681711\pi\)
0.458526 + 0.888681i \(0.348377\pi\)
\(114\) −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
\(117\) −10.4940 2.62205i −0.970174 0.242408i
\(118\) 4.67055i 0.429959i
\(119\) −2.81184 + 19.1739i −0.257761 + 1.75767i
\(120\) 4.88045 + 0.408180i 0.445522 + 0.0372616i
\(121\) 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
\(126\) −1.66317 7.76105i −0.148167 0.691409i
\(127\) 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
\(129\) −0.241622 + 2.88898i −0.0212737 + 0.254361i
\(130\) −0.794034 + 10.1640i −0.0696414 + 0.891439i
\(131\) 3.27806 + 5.67776i 0.286405 + 0.496068i 0.972949 0.231020i \(-0.0742063\pi\)
−0.686544 + 0.727088i \(0.740873\pi\)
\(132\) −9.26182 0.774619i −0.806138 0.0674220i
\(133\) 4.12670 5.21727i 0.357831 0.452395i
\(134\) −3.79862 + 2.19314i −0.328151 + 0.189458i
\(135\) 14.1473 3.96528i 1.21760 0.341277i
\(136\) 7.32456i 0.628076i
\(137\) 15.0048i 1.28194i −0.767564 0.640972i \(-0.778532\pi\)
0.767564 0.640972i \(-0.221468\pi\)
\(138\) −6.89421 4.78818i −0.586874 0.407597i
\(139\) −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
\(141\) −0.718711 + 8.59334i −0.0605264 + 0.723690i
\(142\) −4.12569 7.14590i −0.346220 0.599670i
\(143\) 1.50687 19.2886i 0.126011 1.61299i
\(144\) 1.04760 + 2.81115i 0.0872996 + 0.234262i
\(145\) 17.0323i 1.41446i
\(146\) 0.896552 1.55287i 0.0741992 0.128517i
\(147\) 7.55310 + 9.48423i 0.622969 + 0.782246i
\(148\) −0.639208 −0.0525426
\(149\) 9.92624 + 5.73092i 0.813190 + 0.469495i 0.848062 0.529897i \(-0.177769\pi\)
−0.0348727 + 0.999392i \(0.511103\pi\)
\(150\) −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
\(153\) −7.67318 20.5904i −0.620340 1.66464i
\(154\) 13.1949 5.23943i 1.06327 0.422205i
\(155\) 5.75131i 0.461956i
\(156\) −5.83984 + 2.21276i −0.467561 + 0.177163i
\(157\) 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
\(162\) 5.88989 + 6.80509i 0.462753 + 0.534658i
\(163\) −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 −0.672928 0.739708i \(-0.734963\pi\)
0.977070 + 0.212918i \(0.0682968\pi\)
\(168\) −3.34472 3.13254i −0.258051 0.241681i
\(169\) −4.67275 12.1312i −0.359443 0.933167i
\(170\) −17.9360 + 10.3553i −1.37563 + 0.794219i
\(171\) −1.25292 + 7.43791i −0.0958128 + 0.568791i
\(172\) 0.836889 + 1.44953i 0.0638122 + 0.110526i
\(173\) 8.14791 14.1126i 0.619474 1.07296i −0.370108 0.928989i \(-0.620679\pi\)
0.989582 0.143972i \(-0.0459874\pi\)
\(174\) −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
\(177\) −6.64434 4.61464i −0.499419 0.346858i
\(178\) 16.2075i 1.21481i
\(179\) 9.54740 5.51220i 0.713606 0.412001i −0.0987885 0.995108i \(-0.531497\pi\)
0.812395 + 0.583108i \(0.198163\pi\)
\(180\) 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
\(189\) −12.6841 5.30212i −0.922636 0.385672i
\(190\) 7.10916 0.515753
\(191\) 6.98367 + 4.03202i 0.505321 + 0.291747i 0.730908 0.682476i \(-0.239097\pi\)
−0.225587 + 0.974223i \(0.572430\pi\)
\(192\) 1.42260 + 0.988029i 0.102667 + 0.0713049i
\(193\) 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
\(195\) 13.6748 + 11.1719i 0.979270 + 0.800036i
\(196\) 6.70525 + 2.00987i 0.478947 + 0.143562i
\(197\) 1.95410 + 1.12820i 0.139224 + 0.0803808i 0.567994 0.823033i \(-0.307720\pi\)
−0.428770 + 0.903414i \(0.641053\pi\)
\(198\) −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
\(201\) −0.633191 + 7.57082i −0.0446619 + 0.534004i
\(202\) 0.0315196 0.0181979i 0.00221771 0.00128040i
\(203\) 9.88686 12.4997i 0.693922 0.877305i
\(204\) −10.4199 7.23689i −0.729542 0.506683i
\(205\) −33.7939 −2.36027
\(206\) 9.20853 + 15.9496i 0.641589 + 1.11126i
\(207\) −13.6234 + 5.07685i −0.946889 + 0.352866i
\(208\) −2.04050 + 2.97260i −0.141483 + 0.206113i
\(209\) −13.4913 −0.933215
\(210\) −2.94208 + 12.6191i −0.203023 + 0.870802i
\(211\) 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
\(213\) −14.2421 1.19115i −0.975850 0.0816160i
\(214\) −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
\(222\) −0.631557 + 0.909340i −0.0423873 + 0.0610309i
\(223\) 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
\(225\) −8.86058 1.49256i −0.590705 0.0995042i
\(226\) 0.502220 + 0.869871i 0.0334072 + 0.0578630i
\(227\) −12.4663 −0.827417 −0.413708 0.910410i \(-0.635767\pi\)
−0.413708 + 0.910410i \(0.635767\pi\)
\(228\) 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
\(231\) 5.58330 23.9478i 0.367354 1.57565i
\(232\) −3.01183 + 5.21665i −0.197737 + 0.342490i
\(233\) −2.78543 + 1.60817i −0.182480 + 0.105355i −0.588457 0.808528i \(-0.700264\pi\)
0.405977 + 0.913883i \(0.366931\pi\)
\(234\) −2.62205 + 10.4940i −0.171408 + 0.686017i
\(235\) 7.03879 12.1915i 0.459160 0.795288i
\(236\) −4.67055 −0.304027
\(237\) 0.585643 7.00230i 0.0380416 0.454848i
\(238\) 19.1739 + 2.81184i 1.24286 + 0.182265i
\(239\) 11.9941i 0.775834i 0.921694 + 0.387917i \(0.126805\pi\)
−0.921694 + 0.387917i \(0.873195\pi\)
\(240\) 0.408180 4.88045i 0.0263479 0.315032i
\(241\) 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
\(243\) 15.5003 1.65534i 0.994346 0.106190i
\(244\) −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
\(249\) 17.2460 + 11.9777i 1.09292 + 0.759057i
\(250\) 5.66889i 0.358532i
\(251\) −5.22792 9.05503i −0.329983 0.571548i 0.652525 0.757767i \(-0.273710\pi\)
−0.982508 + 0.186219i \(0.940377\pi\)
\(252\) −7.76105 + 1.66317i −0.488900 + 0.104770i
\(253\) −13.0023 22.5206i −0.817447 1.41586i
\(254\) −10.2933 5.94284i −0.645859 0.372887i
\(255\) −2.98974 + 35.7472i −0.187225 + 2.23857i
\(256\) 1.00000 0.0625000
\(257\) 1.76706 0.110226 0.0551131 0.998480i \(-0.482448\pi\)
0.0551131 + 0.998480i \(0.482448\pi\)
\(258\) 2.88898 + 0.241622i 0.179860 + 0.0150427i
\(259\) 0.245387 1.67329i 0.0152476 0.103973i
\(260\) 10.1640 + 0.794034i 0.630343 + 0.0492439i
\(261\) −3.00177 + 17.8199i −0.185805 + 1.10303i
\(262\) 5.67776 3.27806i 0.350773 0.202519i
\(263\) −18.1822 + 10.4975i −1.12116 + 0.647303i −0.941697 0.336461i \(-0.890770\pi\)
−0.179465 + 0.983764i \(0.557437\pi\)
\(264\) −0.774619 + 9.26182i −0.0476745 + 0.570025i
\(265\) 9.22683i 0.566800i
\(266\) −5.21727 4.12670i −0.319891 0.253024i
\(267\) 23.0569 + 16.0135i 1.41106 + 0.980012i
\(268\) 2.19314 + 3.79862i 0.133967 + 0.232038i
\(269\) −17.5469 −1.06985 −0.534925 0.844899i \(-0.679660\pi\)
−0.534925 + 0.844899i \(0.679660\pi\)
\(270\) −3.96528 14.1473i −0.241319 0.860975i
\(271\) 22.1933i 1.34814i −0.738665 0.674072i \(-0.764544\pi\)
0.738665 0.674072i \(-0.235456\pi\)
\(272\) −7.32456 −0.444117
\(273\) −3.55060 16.1367i −0.214892 0.976638i
\(274\) −15.0048 −0.906471
\(275\) 16.0719i 0.969169i
\(276\) −4.78818 + 6.89421i −0.288215 + 0.414983i
\(277\) 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
\(279\) −1.01361 + 6.01726i −0.0606831 + 0.360244i
\(280\) 2.76088 + 6.95295i 0.164994 + 0.415518i
\(281\) 26.5541i 1.58408i 0.610467 + 0.792042i \(0.290982\pi\)
−0.610467 + 0.792042i \(0.709018\pi\)
\(282\) 8.59334 + 0.718711i 0.511726 + 0.0427986i
\(283\) 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
\(285\) 7.02406 10.1135i 0.416070 0.599073i
\(286\) −19.2886 1.50687i −1.14056 0.0891031i
\(287\) 24.8007 + 19.6166i 1.46394 + 1.15793i
\(288\) 2.81115 1.04760i 0.165648 0.0617302i
\(289\) 36.6492 2.15584
\(290\) 17.0323 1.00017
\(291\) 9.12196 + 0.762922i 0.534738 + 0.0447233i
\(292\) −1.55287 0.896552i −0.0908751 0.0524668i
\(293\) −3.32608 5.76094i −0.194312 0.336557i 0.752363 0.658749i \(-0.228914\pi\)
−0.946675 + 0.322191i \(0.895581\pi\)
\(294\) 9.48423 7.55310i 0.553132 0.440506i
\(295\) 6.60315 + 11.4370i 0.384450 + 0.665888i
\(296\) 0.639208i 0.0371532i
\(297\) 7.52507 + 26.8478i 0.436649 + 1.55787i
\(298\) 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
\(303\) 0.00525400 0.0628200i 0.000301834 0.00360891i
\(304\) 2.17739 + 1.25712i 0.124882 + 0.0721006i
\(305\) 15.8086i 0.905197i
\(306\) −20.5904 + 7.67318i −1.17708 + 0.438647i
\(307\) 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
\(309\) 31.7883 + 2.65864i 1.80837 + 0.151245i
\(310\) 5.75131 0.326652
\(311\) 16.4246 28.4483i 0.931355 1.61315i 0.150346 0.988633i \(-0.451961\pi\)
0.781009 0.624520i \(-0.214705\pi\)
\(312\) 2.21276 + 5.83984i 0.125273 + 0.330616i
\(313\) 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
\(315\) 15.0451 + 16.6535i 0.847696 + 0.938317i
\(316\) −2.02845 3.51337i −0.114109 0.197643i
\(317\) 19.0370 10.9910i 1.06922 0.617317i 0.141254 0.989973i \(-0.454886\pi\)
0.927969 + 0.372657i \(0.121553\pi\)
\(318\) −5.11326 + 2.40820i −0.286737 + 0.135045i
\(319\) −32.3229 −1.80973
\(320\) −1.41378 2.44875i −0.0790329 0.136889i
\(321\) −5.49934 + 7.91815i −0.306943 + 0.441948i
\(322\) 1.86042 12.6861i 0.103677 0.706971i
\(323\) −15.9484 9.20783i −0.887395 0.512338i
\(324\) 6.80509 5.88989i 0.378060 0.327216i
\(325\) −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
\(333\) 0.669632 + 1.79691i 0.0366956 + 0.0984700i
\(334\) −6.80763 3.93039i −0.372497 0.215061i
\(335\) 6.20124 10.7409i 0.338810 0.586836i
\(336\) −3.13254 + 3.34472i −0.170894 + 0.182470i
\(337\) 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
\(339\) 1.73369 + 0.144998i 0.0941611 + 0.00787523i
\(340\) 10.3553 + 17.9360i 0.561598 + 0.972716i
\(341\) −10.9145 −0.591052
\(342\) 7.43791 + 1.25292i 0.402196 + 0.0677499i
\(343\) −7.83543 + 16.7811i −0.423074 + 0.906095i
\(344\) 1.44953 0.836889i 0.0781536 0.0451220i
\(345\) 23.6516 + 1.97812i 1.27336 + 0.106498i
\(346\) −14.1126 8.14791i −0.758698 0.438034i
\(347\) 12.7624i 0.685124i −0.939495 0.342562i \(-0.888705\pi\)
0.939495 0.342562i \(-0.111295\pi\)
\(348\) 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
\(351\) 12.3382 + 14.0985i 0.658564 + 0.752525i
\(352\) 2.68299 + 4.64708i 0.143004 + 0.247690i
\(353\) 8.65493 + 14.9908i 0.460656 + 0.797879i 0.998994 0.0448501i \(-0.0142810\pi\)
−0.538338 + 0.842729i \(0.680948\pi\)
\(354\) −4.61464 + 6.64434i −0.245266 + 0.353143i
\(355\) 20.2055 + 11.6657i 1.07240 + 0.619149i
\(356\) 16.2075 0.858998
\(357\) 22.9445 24.4986i 1.21435 1.29661i
\(358\) −5.51220 9.54740i −0.291329 0.504596i
\(359\) 5.42394 3.13151i 0.286264 0.165275i −0.349992 0.936753i \(-0.613816\pi\)
0.636256 + 0.771478i \(0.280482\pi\)
\(360\) −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
\(369\) −35.3567 5.95583i −1.84059 0.310048i
\(370\) 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
\(375\) −8.06457 5.60103i −0.416453 0.289236i
\(376\) 4.31167 2.48934i 0.222357 0.128378i
\(377\) −19.5975 + 9.36140i −1.00932 + 0.482137i
\(378\) −5.30212 + 12.6841i −0.272711 + 0.652402i
\(379\) −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 \(0.462187\pi\)
−0.919179 + 0.393841i \(0.871146\pi\)
\(384\) 0.988029 1.42260i 0.0504202 0.0725969i
\(385\) −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 −0.0397316 0.999210i \(-0.512650\pi\)
−0.885207 + 0.465197i \(0.845984\pi\)
\(390\) 11.1719 13.6748i 0.565711 0.692448i
\(391\) 35.4963i 1.79512i
\(392\) 2.00987 6.70525i 0.101514 0.338666i
\(393\) 0.946424 11.3160i 0.0477408 0.570817i
\(394\) 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
\(399\) −11.0255 + 3.34480i −0.551964 + 0.167449i
\(400\) −1.49757 + 2.59386i −0.0748784 + 0.129693i
\(401\) 18.6153i 0.929604i 0.885415 + 0.464802i \(0.153874\pi\)
−0.885415 + 0.464802i \(0.846126\pi\)
\(402\) 7.57082 + 0.633191i 0.377598 + 0.0315807i
\(403\) −6.61750 + 3.16107i −0.329641 + 0.157464i
\(404\) −0.0181979 0.0315196i −0.000905378 0.00156816i
\(405\) −24.0438 8.33690i −1.19474 0.414264i
\(406\) −12.4997 9.88686i −0.620348 0.490677i
\(407\) −2.97045 + 1.71499i −0.147240 + 0.0850089i
\(408\) −7.23689 + 10.4199i −0.358279 + 0.515864i
\(409\) 9.43206i 0.466385i 0.972431 + 0.233193i \(0.0749173\pi\)
−0.972431 + 0.233193i \(0.925083\pi\)
\(410\) 33.7939i 1.66896i
\(411\) −14.8251 + 21.3458i −0.731271 + 1.05291i
\(412\) 15.9496 9.20853i 0.785782 0.453672i
\(413\) 1.79299 12.2264i 0.0882272 0.601619i
\(414\) 5.07685 + 13.6234i 0.249514 + 0.669552i
\(415\) −17.1391 29.6857i −0.841323 1.45721i
\(416\) 2.97260 + 2.04050i 0.145744 + 0.100044i
\(417\) 29.5880 + 2.47462i 1.44893 + 0.121182i
\(418\) 13.4913i 0.659883i
\(419\) 15.5700 26.9681i 0.760646 1.31748i −0.181873 0.983322i \(-0.558216\pi\)
0.942518 0.334155i \(-0.108451\pi\)
\(420\) 12.6191 + 2.94208i 0.615750 + 0.143559i
\(421\) 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
\(426\) −1.19115 + 14.2421i −0.0577112 + 0.690030i
\(427\) 9.17651 11.6016i 0.444082 0.561441i
\(428\) 5.56596i 0.269041i
\(429\) −21.2013 + 25.9511i −1.02361 + 1.25293i
\(430\) −4.09866 2.36636i −0.197655 0.114116i
\(431\) −1.40088 + 0.808798i −0.0674780 + 0.0389584i −0.533359 0.845889i \(-0.679071\pi\)
0.465881 + 0.884847i \(0.345737\pi\)
\(432\) 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
\(435\) 16.8284 24.2302i 0.806862 1.16175i
\(436\) −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
\(441\) −1.37436 20.9550i −0.0654456 0.997856i
\(442\) −21.7730 14.9457i −1.03564 0.710896i
\(443\) 12.6887 7.32582i 0.602858 0.348060i −0.167307 0.985905i \(-0.553507\pi\)
0.770165 + 0.637844i \(0.220174\pi\)
\(444\) 0.909340 + 0.631557i 0.0431553 + 0.0299724i
\(445\) −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 −0.610178 0.792264i \(-0.708902\pi\)
0.381032 + 0.924562i \(0.375569\pi\)
\(450\) −1.49256 + 8.86058i −0.0703601 + 0.417692i
\(451\) 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 \(0.00148320\pi\)
−0.495959 + 0.868346i \(0.665183\pi\)
\(462\) −23.9478 5.58330i −1.11415 0.259759i
\(463\) −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
\(465\) 5.68246 8.18182i 0.263518 0.379423i
\(466\) 1.60817 + 2.78543i 0.0744971 + 0.129033i
\(467\) 10.1683 + 17.6119i 0.470531 + 0.814983i 0.999432 0.0337004i \(-0.0107292\pi\)
−0.528901 + 0.848683i \(0.677396\pi\)
\(468\) 10.4940 + 2.62205i 0.485087 + 0.121204i
\(469\) −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
\(474\) −7.00230 0.585643i −0.321626 0.0268995i
\(475\) −6.52158 + 3.76524i −0.299231 + 0.172761i
\(476\) 2.81184 19.1739i 0.128881 0.878834i
\(477\) −1.62613 + 9.65351i −0.0744555 + 0.442004i
\(478\) 11.9941 0.548597
\(479\) −7.80327 13.5157i −0.356540 0.617546i 0.630840 0.775913i \(-0.282710\pi\)
−0.987380 + 0.158367i \(0.949377\pi\)
\(480\) −4.88045 0.408180i −0.222761 0.0186308i
\(481\) −1.30430 + 1.90011i −0.0594711 + 0.0866377i
\(482\) 18.3905 0.837666
\(483\) −16.2092 15.1809i −0.737543 0.690755i
\(484\) −8.89688 + 15.4099i −0.404404 + 0.700448i
\(485\) −12.9415 7.47178i −0.587643 0.339276i
\(486\) −1.65534 15.5003i −0.0750879 0.703109i
\(487\) 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 0.979898 0.199501i \(-0.0639321\pi\)
0.317176 + 0.948367i \(0.397265\pi\)
\(492\) −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
\(495\) 7.56098 44.8857i 0.339841 2.01746i
\(496\) 1.76151 + 1.01701i 0.0790940 + 0.0456649i
\(497\) −8.05677 20.2900i −0.361395 0.910131i
\(498\) 11.9777 17.2460i 0.536734 0.772810i
\(499\) −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 0.901266 0.433266i \(-0.142639\pi\)
−0.825852 + 0.563886i \(0.809306\pi\)
\(504\) 1.66317 + 7.76105i 0.0740834 + 0.345705i
\(505\) −0.0514557 + 0.0891239i −0.00228975 + 0.00396596i
\(506\) −22.5206 + 13.0023i −1.00116 + 0.578023i
\(507\) −5.33849 + 21.8747i −0.237090 + 0.971488i
\(508\) −5.94284 + 10.2933i −0.263671 + 0.456691i
\(509\) 31.3346 1.38888 0.694441 0.719550i \(-0.255652\pi\)
0.694441 + 0.719550i \(0.255652\pi\)
\(510\) 35.7472 + 2.98974i 1.58291 + 0.132388i
\(511\) 2.94309 3.72086i 0.130195 0.164601i
\(512\) 1.00000i 0.0441942i
\(513\) 9.13128 9.34328i 0.403156 0.412516i
\(514\) 1.76706i 0.0779416i
\(515\) −45.0987 26.0377i −1.98729 1.14736i
\(516\) 0.241622 2.88898i 0.0106368 0.127180i
\(517\) 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 −0.587194 0.809446i \(-0.699768\pi\)
0.994598 + 0.103802i \(0.0331009\pi\)
\(522\) 17.8199 + 3.00177i 0.779958 + 0.131384i
\(523\) 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
\(525\) −3.98456 13.1343i −0.173901 0.573230i
\(526\) 10.4975 + 18.1822i 0.457712 + 0.792781i
\(527\) −12.9023 7.44913i −0.562032 0.324489i
\(528\) 9.26182 + 0.774619i 0.403069 + 0.0337110i
\(529\) −0.485594 −0.0211128
\(530\) 9.22683 0.400788
\(531\) 4.89285 + 13.1296i 0.212332 + 0.569776i
\(532\) −4.12670 + 5.21727i −0.178915 + 0.226197i
\(533\) −18.5740 38.8836i −0.804530 1.68424i
\(534\) 16.0135 23.0569i 0.692973 0.997770i
\(535\) 13.6296 7.86907i 0.589260 0.340209i
\(536\) 3.79862 2.19314i 0.164076 0.0947291i
\(537\) −19.0284 1.59145i −0.821135 0.0686762i
\(538\) 17.5469i 0.756499i
\(539\) 36.5523 8.65012i 1.57442 0.372587i
\(540\) −14.1473 + 3.96528i −0.608802 + 0.170639i
\(541\) 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
\(543\) −3.73946 + 5.38422i −0.160476 + 0.231059i
\(544\) 7.32456i 0.314038i
\(545\) 16.6034 0.711213
\(546\) −16.1367 + 3.55060i −0.690587 + 0.151952i
\(547\) −17.2559 −0.737809 −0.368905 0.929467i \(-0.620267\pi\)
−0.368905 + 0.929467i \(0.620267\pi\)
\(548\) 15.0048i 0.640972i
\(549\) −2.78610 + 16.5396i −0.118908 + 0.705894i
\(550\) −16.0719 −0.685306
\(551\) 7.57245 + 13.1159i 0.322597 + 0.558755i
\(552\) 6.89421 + 4.78818i 0.293437 + 0.203799i
\(553\) 9.97585 3.96122i 0.424216 0.168448i
\(554\) 12.8518i 0.546021i
\(555\) 0.260912 3.11963i 0.0110751 0.132421i
\(556\) 14.8457 8.57114i 0.629596 0.363497i
\(557\) −34.8056 + 20.0950i −1.47476 + 0.851454i −0.999595 0.0284423i \(-0.990945\pi\)
−0.475166 + 0.879896i \(0.657612\pi\)
\(558\) 6.01726 + 1.01361i 0.254731 + 0.0429094i
\(559\) 6.01656 + 0.470029i 0.254473 + 0.0198801i
\(560\) 6.95295 2.76088i 0.293816 0.116669i
\(561\) −67.8388 5.67375i −2.86416 0.239546i
\(562\) 26.5541 1.12012
\(563\) 36.7290 1.54794 0.773971 0.633221i \(-0.218268\pi\)
0.773971 + 0.633221i \(0.218268\pi\)
\(564\) 0.718711 8.59334i 0.0302632 0.361845i
\(565\) −2.45962 1.42006i −0.103477 0.0597424i
\(566\) −0.769566 1.33293i −0.0323473 0.0560271i
\(567\) 12.8058 + 20.0751i 0.537795 + 0.843076i
\(568\) 4.12569 + 7.14590i 0.173110 + 0.299835i
\(569\) 11.6897i 0.490058i 0.969516 + 0.245029i \(0.0787975\pi\)
−0.969516 + 0.245029i \(0.921203\pi\)
\(570\) −10.1135 7.02406i −0.423609 0.294206i
\(571\) −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
\(576\) −1.04760 2.81115i −0.0436498 0.117131i
\(577\) −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
\(579\) 1.58893 18.9982i 0.0660335 0.789537i
\(580\) 17.0323i 0.707229i
\(581\) −4.65386 + 31.7346i −0.193075 + 1.31657i
\(582\) 0.762922 9.12196i 0.0316241 0.378117i
\(583\) −17.5101 −0.725195
\(584\) −0.896552 + 1.55287i −0.0370996 + 0.0642584i
\(585\) −8.41558 29.4042i −0.347941 1.21572i
\(586\) −5.76094 + 3.32608i −0.237982 + 0.137399i
\(587\) 9.01119 15.6078i 0.371932 0.644204i −0.617931 0.786232i \(-0.712029\pi\)
0.989863 + 0.142028i \(0.0453623\pi\)
\(588\) −7.55310 9.48423i −0.311485 0.391123i
\(589\) 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 0.710128 0.704073i \(-0.248637\pi\)
−0.964809 + 0.262953i \(0.915304\pi\)
\(594\) 26.8478 7.52507i 1.10158 0.308757i
\(595\) −50.9273 + 20.2223i −2.08782 + 0.829032i
\(596\) −9.92624 5.73092i −0.406595 0.234748i
\(597\) −7.16594 + 10.3178i −0.293282 + 0.422279i
\(598\) −9.88864 + 14.4058i −0.404376 + 0.589098i
\(599\) −20.8366 12.0300i −0.851359 0.491532i 0.00974999 0.999952i \(-0.496896\pi\)
−0.861109 + 0.508420i \(0.830230\pi\)
\(600\) 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
\(606\) −0.0628200 0.00525400i −0.00255189 0.000213429i
\(607\) −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
\(609\) −26.4151 + 8.01355i −1.07039 + 0.324726i
\(610\) 15.8086 0.640071
\(611\) 17.8964 + 1.39811i 0.724010 + 0.0565615i
\(612\) 7.67318 + 20.5904i 0.310170 + 0.832318i
\(613\) 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
\(615\) 48.0753 + 33.3894i 1.93858 + 1.34639i
\(616\) −13.1949 + 5.23943i −0.531637 + 0.211103i
\(617\) −21.2369 + 12.2611i −0.854965 + 0.493614i −0.862323 0.506359i \(-0.830991\pi\)
0.00735804 + 0.999973i \(0.497658\pi\)
\(618\) 2.65864 31.7883i 0.106946 1.27871i
\(619\) −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
\(624\) 5.83984 2.21276i 0.233781 0.0885815i
\(625\) 15.5024 + 26.8510i 0.620097 + 1.07404i
\(626\) −6.56281 11.3671i −0.262303 0.454322i
\(627\) 19.1928 + 13.3298i 0.766487 + 0.532342i
\(628\) −14.2430 8.22323i −0.568360 0.328143i
\(629\) −4.68192 −0.186681
\(630\) 16.6535 15.0451i 0.663490 0.599412i
\(631\) 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 \(-0.696225\pi\)
0.578149 0.815931i \(-0.303775\pi\)
\(642\) 7.91815 + 5.49934i 0.312505 + 0.217041i
\(643\) 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 0.999914 0.0130964i \(-0.00416885\pi\)
−0.511299 + 0.859403i \(0.670836\pi\)
\(648\) −5.88989 6.80509i −0.231377 0.267329i
\(649\) −21.7044 + 12.5311i −0.851973 + 0.491887i
\(650\) −9.74445 + 4.65475i −0.382209 + 0.182574i
\(651\) −8.91960 + 2.70594i −0.349587 + 0.106054i
\(652\) 3.00753 5.20920i 0.117784 0.204008i
\(653\) 9.90848i 0.387749i −0.981026 0.193874i \(-0.937895\pi\)
0.981026 0.193874i \(-0.0621054\pi\)
\(654\) 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
\(657\) −0.893556 + 5.30458i −0.0348609 + 0.206951i
\(658\) 4.86127 + 12.2425i 0.189512 + 0.477263i
\(659\) 14.5005 8.37187i 0.564859 0.326122i −0.190234 0.981739i \(-0.560925\pi\)
0.755094 + 0.655617i \(0.227591\pi\)
\(660\) −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
\(663\) −42.7742 + 16.2075i −1.66121 + 0.629448i
\(664\) 12.1228i 0.470457i
\(665\) 18.6100 + 2.72915i 0.721666 + 0.105832i
\(666\) 1.79691 0.669632i 0.0696288 0.0259477i
\(667\) −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
\(672\) 3.34472 + 3.13254i 0.129026 + 0.120840i
\(673\) 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
\(675\) 11.1304 + 10.8778i 0.428409 + 0.418688i
\(676\) 4.67275 + 12.1312i 0.179721 + 0.466584i
\(677\) −23.2931 40.3449i −0.895228 1.55058i −0.833522 0.552486i \(-0.813679\pi\)
−0.0617058 0.998094i \(-0.519654\pi\)
\(678\) 0.144998 1.73369i 0.00556863 0.0665819i
\(679\) 5.16031 + 12.9956i 0.198035 + 0.498726i
\(680\) 17.9360 10.3553i 0.687814 0.397110i
\(681\) 17.7346 + 12.3171i 0.679590 + 0.471991i
\(682\) 10.9145i 0.417937i
\(683\) 24.3511i 0.931770i −0.884845 0.465885i \(-0.845736\pi\)
0.884845 0.465885i \(-0.154264\pi\)
\(684\) 1.25292 7.43791i 0.0479064 0.284396i
\(685\) 36.7428 21.2135i 1.40387 0.810526i
\(686\) 16.7811 + 7.83543i 0.640706 + 0.299158i
\(687\) 18.1263 + 1.51600i 0.691560 + 0.0578392i
\(688\) −0.836889 1.44953i −0.0319061 0.0552630i
\(689\) −10.6165 + 5.07130i −0.404455 + 0.193201i
\(690\) 1.97812 23.6516i 0.0753058 0.900401i
\(691\) 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
\(693\) −31.6039 + 28.5517i −1.20053 + 1.08459i
\(694\) −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
\(699\) 5.55148 + 0.464303i 0.209976 + 0.0175615i
\(700\) −6.21519 4.91603i −0.234912 0.185808i
\(701\) 39.4946i 1.49169i 0.666120 + 0.745844i \(0.267954\pi\)
−0.666120 + 0.745844i \(0.732046\pi\)
\(702\) 14.0985 12.3382i 0.532115 0.465675i
\(703\) 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
\(708\) 6.64434 + 4.61464i 0.249710 + 0.173429i
\(709\) 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
\(714\) −24.4986 22.9445i −0.916839 0.858677i
\(715\) 49.3631 23.5799i 1.84608 0.881838i
\(716\) −9.54740 + 5.51220i −0.356803 + 0.206000i
\(717\) 11.8505 17.0628i 0.442566 0.637223i
\(718\) −3.13151 5.42394i −0.116867 0.202419i
\(719\) −18.6611 + 32.3220i −0.695942 + 1.20541i 0.273920 + 0.961753i \(0.411680\pi\)
−0.969862 + 0.243655i \(0.921654\pi\)
\(720\) −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
\(723\) 18.1704 26.1624i 0.675764 0.972991i
\(724\) 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
\(735\) −12.5460 + 31.9043i −0.462767 + 1.17681i
\(736\) 4.84619 0.178633
\(737\) 20.3834 + 11.7683i 0.750830 + 0.433492i
\(738\) −5.95583 + 35.3567i −0.219237 + 1.30150i
\(739\) −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
\(741\) 15.4973 + 2.52330i 0.569308 + 0.0926959i
\(742\) −6.77138 5.35596i −0.248585 0.196623i
\(743\) −35.2355 20.3432i −1.29266 0.746320i −0.313538 0.949576i \(-0.601514\pi\)
−0.979126 + 0.203256i \(0.934848\pi\)
\(744\) 3.18722 1.50109i 0.116849 0.0550327i
\(745\) 32.4091i 1.18738i
\(746\) 13.4655 + 7.77432i 0.493007 + 0.284638i
\(747\) −12.6998 34.0791i −0.464662 1.24689i
\(748\) −34.0378 + 19.6517i −1.24455 + 0.718539i
\(749\) −14.5703 2.13673i −0.532388 0.0780744i
\(750\) −5.60103 + 8.06457i −0.204521 + 0.294477i
\(751\) 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
\(753\) −1.50938 + 18.0470i −0.0550048 + 0.657671i
\(754\) 9.36140 + 19.5975i 0.340922 + 0.713700i
\(755\) −34.7885 −1.26608
\(756\) 12.6841 + 5.30212i 0.461318 + 0.192836i
\(757\) −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
\(759\) −3.75396 + 44.8846i −0.136260 + 1.62921i
\(760\) −7.10916 −0.257877
\(761\) −21.8081 + 37.7727i −0.790543 + 1.36926i 0.135088 + 0.990834i \(0.456868\pi\)
−0.925631 + 0.378427i \(0.876465\pi\)
\(762\) 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
\(768\) −1.42260 0.988029i −0.0513337 0.0356524i
\(769\) 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
\(771\) −2.51382 1.74591i −0.0905331 0.0628773i
\(772\) −5.50345 9.53225i −0.198073 0.343073i
\(773\) 15.9038 0.572018 0.286009 0.958227i \(-0.407671\pi\)
0.286009 + 0.958227i \(0.407671\pi\)
\(774\) −3.87114 3.19813i −0.139145 0.114954i
\(775\) −5.27595 + 3.04607i −0.189518