Properties

Label 546.2.bg.b.311.17
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
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.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.17
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.71668 - 0.230243i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.00187 - 0.578432i) q^{5} +(1.05774 + 1.37157i) q^{6} +(-0.296298 - 2.62911i) q^{7} -1.00000 q^{8} +(2.89398 - 0.790508i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.71668 - 0.230243i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.00187 - 0.578432i) q^{5} +(1.05774 + 1.37157i) q^{6} +(-0.296298 - 2.62911i) q^{7} -1.00000 q^{8} +(2.89398 - 0.790508i) q^{9} +(1.00187 + 0.578432i) q^{10} +(1.85690 - 3.21624i) q^{11} +(-0.658943 + 1.60181i) q^{12} +(-0.361803 + 3.58735i) q^{13} +(2.12873 - 1.57116i) q^{14} +(1.58672 - 1.22366i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.0128016 - 0.0221731i) q^{17} +(2.13159 + 2.11100i) q^{18} +(-0.122255 - 0.211752i) q^{19} +1.15686i q^{20} +(-1.11398 - 4.44511i) q^{21} +3.71379 q^{22} +(2.36531 - 1.36561i) q^{23} +(-1.71668 + 0.230243i) q^{24} +(-1.83083 + 3.17109i) q^{25} +(-3.28764 + 1.48035i) q^{26} +(4.78602 - 2.02337i) q^{27} +(2.42502 + 1.05795i) q^{28} +3.51946i q^{29} +(1.85308 + 0.762308i) q^{30} +(-2.24622 + 3.89056i) q^{31} +(0.500000 - 0.866025i) q^{32} +(2.44718 - 5.94879i) q^{33} +0.0256033 q^{34} +(-1.81761 - 2.46265i) q^{35} +(-0.762388 + 2.90151i) q^{36} +(-8.29815 + 4.79094i) q^{37} +(0.122255 - 0.211752i) q^{38} +(0.204865 + 6.24164i) q^{39} +(-1.00187 + 0.578432i) q^{40} -0.471512i q^{41} +(3.29259 - 3.18729i) q^{42} -1.24061 q^{43} +(1.85690 + 3.21624i) q^{44} +(2.44214 - 2.46596i) q^{45} +(2.36531 + 1.36561i) q^{46} +(0.203606 - 0.117552i) q^{47} +(-1.05774 - 1.37157i) q^{48} +(-6.82442 + 1.55800i) q^{49} -3.66166 q^{50} +(0.0168711 - 0.0410116i) q^{51} +(-2.92584 - 2.10701i) q^{52} +(-6.44560 - 3.72137i) q^{53} +(4.14530 + 3.13313i) q^{54} -4.29635i q^{55} +(0.296298 + 2.62911i) q^{56} +(-0.258628 - 0.335362i) q^{57} +(-3.04794 + 1.75973i) q^{58} +(2.80431 + 1.61907i) q^{59} +(0.266360 + 1.98597i) q^{60} +(10.2453 - 5.91511i) q^{61} -4.49243 q^{62} +(-2.93581 - 7.37435i) q^{63} +1.00000 q^{64} +(1.71256 + 3.80335i) q^{65} +(6.37539 - 0.855076i) q^{66} +(6.24108 + 3.60329i) q^{67} +(0.0128016 + 0.0221731i) q^{68} +(3.74606 - 2.88892i) q^{69} +(1.22391 - 2.80542i) q^{70} -14.6757 q^{71} +(-2.89398 + 0.790508i) q^{72} +(-0.784266 + 1.35839i) q^{73} +(-8.29815 - 4.79094i) q^{74} +(-2.41283 + 5.86529i) q^{75} +0.244511 q^{76} +(-9.00603 - 3.92901i) q^{77} +(-5.30298 + 3.29824i) q^{78} +(3.01266 + 5.21808i) q^{79} +(-1.00187 - 0.578432i) q^{80} +(7.75019 - 4.57542i) q^{81} +(0.408341 - 0.235756i) q^{82} +3.64267i q^{83} +(4.40657 + 1.25782i) q^{84} -0.0296195i q^{85} +(-0.620304 - 1.07440i) q^{86} +(0.810333 + 6.04179i) q^{87} +(-1.85690 + 3.21624i) q^{88} +(8.11911 - 4.68757i) q^{89} +(3.35666 + 0.881980i) q^{90} +(9.53874 - 0.111706i) q^{91} +2.73122i q^{92} +(-2.96026 + 7.19602i) q^{93} +(0.203606 + 0.117552i) q^{94} +(-0.244969 - 0.141433i) q^{95} +(0.658943 - 1.60181i) q^{96} -12.7955 q^{97} +(-4.76147 - 5.13112i) q^{98} +(2.83135 - 10.7756i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + 14q^{15} - 18q^{16} - 4q^{18} - 23q^{21} + 14q^{25} + 6q^{26} + 7q^{30} + 18q^{32} - 24q^{33} - 8q^{36} + 10q^{39} - 16q^{42} - 16q^{43} + 9q^{45} - 72q^{47} + 12q^{49} + 28q^{50} - 3q^{51} + 6q^{52} - 9q^{54} + 8q^{57} - 24q^{59} - 7q^{60} - 36q^{61} + 39q^{63} + 36q^{64} - 18q^{65} - 24q^{66} + 72q^{71} - 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} + 7q^{84} - 8q^{86} - 24q^{87} + 72q^{89} - 2q^{91} + 14q^{93} - 72q^{94} + 12q^{98} - 72q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 1.71668 0.230243i 0.991125 0.132931i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.00187 0.578432i 0.448052 0.258683i −0.258955 0.965889i \(-0.583378\pi\)
0.707007 + 0.707206i \(0.250045\pi\)
\(6\) 1.05774 + 1.37157i 0.431819 + 0.559940i
\(7\) −0.296298 2.62911i −0.111990 0.993709i
\(8\) −1.00000 −0.353553
\(9\) 2.89398 0.790508i 0.964659 0.263503i
\(10\) 1.00187 + 0.578432i 0.316820 + 0.182916i
\(11\) 1.85690 3.21624i 0.559875 0.969732i −0.437631 0.899155i \(-0.644182\pi\)
0.997506 0.0705774i \(-0.0224842\pi\)
\(12\) −0.658943 + 1.60181i −0.190220 + 0.462403i
\(13\) −0.361803 + 3.58735i −0.100346 + 0.994953i
\(14\) 2.12873 1.57116i 0.568926 0.419909i
\(15\) 1.58672 1.22366i 0.409688 0.315947i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 0.0128016 0.0221731i 0.00310485 0.00537776i −0.864469 0.502686i \(-0.832345\pi\)
0.867574 + 0.497309i \(0.165678\pi\)
\(18\) 2.13159 + 2.11100i 0.502420 + 0.497568i
\(19\) −0.122255 0.211752i −0.0280473 0.0485793i 0.851661 0.524093i \(-0.175596\pi\)
−0.879708 + 0.475514i \(0.842262\pi\)
\(20\) 1.15686i 0.258683i
\(21\) −1.11398 4.44511i −0.243091 0.970003i
\(22\) 3.71379 0.791783
\(23\) 2.36531 1.36561i 0.493201 0.284750i −0.232700 0.972548i \(-0.574756\pi\)
0.725902 + 0.687799i \(0.241423\pi\)
\(24\) −1.71668 + 0.230243i −0.350416 + 0.0469982i
\(25\) −1.83083 + 3.17109i −0.366166 + 0.634219i
\(26\) −3.28764 + 1.48035i −0.644759 + 0.290320i
\(27\) 4.78602 2.02337i 0.921070 0.389397i
\(28\) 2.42502 + 1.05795i 0.458286 + 0.199934i
\(29\) 3.51946i 0.653548i 0.945103 + 0.326774i \(0.105962\pi\)
−0.945103 + 0.326774i \(0.894038\pi\)
\(30\) 1.85308 + 0.762308i 0.338324 + 0.139178i
\(31\) −2.24622 + 3.89056i −0.403432 + 0.698765i −0.994138 0.108122i \(-0.965516\pi\)
0.590705 + 0.806887i \(0.298850\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 2.44718 5.94879i 0.425999 1.03555i
\(34\) 0.0256033 0.00439092
\(35\) −1.81761 2.46265i −0.307233 0.416263i
\(36\) −0.762388 + 2.90151i −0.127065 + 0.483585i
\(37\) −8.29815 + 4.79094i −1.36421 + 0.787625i −0.990181 0.139793i \(-0.955356\pi\)
−0.374026 + 0.927418i \(0.622023\pi\)
\(38\) 0.122255 0.211752i 0.0198324 0.0343508i
\(39\) 0.204865 + 6.24164i 0.0328046 + 0.999462i
\(40\) −1.00187 + 0.578432i −0.158410 + 0.0914582i
\(41\) 0.471512i 0.0736377i −0.999322 0.0368189i \(-0.988278\pi\)
0.999322 0.0368189i \(-0.0117225\pi\)
\(42\) 3.29259 3.18729i 0.508058 0.491810i
\(43\) −1.24061 −0.189191 −0.0945955 0.995516i \(-0.530156\pi\)
−0.0945955 + 0.995516i \(0.530156\pi\)
\(44\) 1.85690 + 3.21624i 0.279937 + 0.484866i
\(45\) 2.44214 2.46596i 0.364053 0.367603i
\(46\) 2.36531 + 1.36561i 0.348746 + 0.201349i
\(47\) 0.203606 0.117552i 0.0296990 0.0171467i −0.485077 0.874471i \(-0.661208\pi\)
0.514776 + 0.857325i \(0.327875\pi\)
\(48\) −1.05774 1.37157i −0.152671 0.197969i
\(49\) −6.82442 + 1.55800i −0.974916 + 0.222571i
\(50\) −3.66166 −0.517837
\(51\) 0.0168711 0.0410116i 0.00236243 0.00574277i
\(52\) −2.92584 2.10701i −0.405741 0.292189i
\(53\) −6.44560 3.72137i −0.885372 0.511170i −0.0129459 0.999916i \(-0.504121\pi\)
−0.872426 + 0.488747i \(0.837454\pi\)
\(54\) 4.14530 + 3.13313i 0.564104 + 0.426365i
\(55\) 4.29635i 0.579320i
\(56\) 0.296298 + 2.62911i 0.0395945 + 0.351329i
\(57\) −0.258628 0.335362i −0.0342561 0.0444198i
\(58\) −3.04794 + 1.75973i −0.400215 + 0.231064i
\(59\) 2.80431 + 1.61907i 0.365090 + 0.210785i 0.671311 0.741176i \(-0.265731\pi\)
−0.306221 + 0.951960i \(0.599065\pi\)
\(60\) 0.266360 + 1.98597i 0.0343870 + 0.256387i
\(61\) 10.2453 5.91511i 1.31177 0.757353i 0.329384 0.944196i \(-0.393159\pi\)
0.982390 + 0.186844i \(0.0598258\pi\)
\(62\) −4.49243 −0.570539
\(63\) −2.93581 7.37435i −0.369877 0.929081i
\(64\) 1.00000 0.125000
\(65\) 1.71256 + 3.80335i 0.212417 + 0.471748i
\(66\) 6.37539 0.855076i 0.784756 0.105253i
\(67\) 6.24108 + 3.60329i 0.762469 + 0.440212i 0.830182 0.557493i \(-0.188237\pi\)
−0.0677122 + 0.997705i \(0.521570\pi\)
\(68\) 0.0128016 + 0.0221731i 0.00155243 + 0.00268888i
\(69\) 3.74606 2.88892i 0.450972 0.347785i
\(70\) 1.22391 2.80542i 0.146285 0.335312i
\(71\) −14.6757 −1.74168 −0.870841 0.491564i \(-0.836425\pi\)
−0.870841 + 0.491564i \(0.836425\pi\)
\(72\) −2.89398 + 0.790508i −0.341058 + 0.0931623i
\(73\) −0.784266 + 1.35839i −0.0917914 + 0.158987i −0.908265 0.418395i \(-0.862593\pi\)
0.816474 + 0.577383i \(0.195926\pi\)
\(74\) −8.29815 4.79094i −0.964640 0.556935i
\(75\) −2.41283 + 5.86529i −0.278609 + 0.677265i
\(76\) 0.244511 0.0280473
\(77\) −9.00603 3.92901i −1.02633 0.447753i
\(78\) −5.30298 + 3.29824i −0.600445 + 0.373452i
\(79\) 3.01266 + 5.21808i 0.338951 + 0.587080i 0.984236 0.176862i \(-0.0565946\pi\)
−0.645285 + 0.763942i \(0.723261\pi\)
\(80\) −1.00187 0.578432i −0.112013 0.0646707i
\(81\) 7.75019 4.57542i 0.861133 0.508380i
\(82\) 0.408341 0.235756i 0.0450937 0.0260349i
\(83\) 3.64267i 0.399835i 0.979813 + 0.199917i \(0.0640673\pi\)
−0.979813 + 0.199917i \(0.935933\pi\)
\(84\) 4.40657 + 1.25782i 0.480797 + 0.137239i
\(85\) 0.0296195i 0.00321269i
\(86\) −0.620304 1.07440i −0.0668891 0.115855i
\(87\) 0.810333 + 6.04179i 0.0868768 + 0.647748i
\(88\) −1.85690 + 3.21624i −0.197946 + 0.342852i
\(89\) 8.11911 4.68757i 0.860623 0.496881i −0.00359755 0.999994i \(-0.501145\pi\)
0.864221 + 0.503112i \(0.167812\pi\)
\(90\) 3.35666 + 0.881980i 0.353823 + 0.0929688i
\(91\) 9.53874 0.111706i 0.999931 0.0117100i
\(92\) 2.73122i 0.284750i
\(93\) −2.96026 + 7.19602i −0.306964 + 0.746193i
\(94\) 0.203606 + 0.117552i 0.0210004 + 0.0121246i
\(95\) −0.244969 0.141433i −0.0251333 0.0145107i
\(96\) 0.658943 1.60181i 0.0672531 0.163484i
\(97\) −12.7955 −1.29918 −0.649591 0.760284i \(-0.725060\pi\)
−0.649591 + 0.760284i \(0.725060\pi\)
\(98\) −4.76147 5.13112i −0.480981 0.518321i
\(99\) 2.83135 10.7756i 0.284561 1.08299i
\(100\) −1.83083 3.17109i −0.183083 0.317109i
\(101\) −5.03494 + 8.72077i −0.500995 + 0.867749i 0.499004 + 0.866600i \(0.333699\pi\)
−0.999999 + 0.00114938i \(0.999634\pi\)
\(102\) 0.0439526 0.00589498i 0.00435196 0.000583690i
\(103\) 8.82256 5.09371i 0.869313 0.501898i 0.00219314 0.999998i \(-0.499302\pi\)
0.867120 + 0.498099i \(0.165969\pi\)
\(104\) 0.361803 3.58735i 0.0354777 0.351769i
\(105\) −3.68727 3.80908i −0.359841 0.371728i
\(106\) 7.44274i 0.722903i
\(107\) −15.7423 + 9.08881i −1.52186 + 0.878648i −0.522197 + 0.852825i \(0.674887\pi\)
−0.999667 + 0.0258233i \(0.991779\pi\)
\(108\) −0.640722 + 5.15650i −0.0616535 + 0.496184i
\(109\) 2.40616 + 1.38920i 0.230469 + 0.133061i 0.610788 0.791794i \(-0.290853\pi\)
−0.380320 + 0.924855i \(0.624186\pi\)
\(110\) 3.72075 2.14818i 0.354760 0.204821i
\(111\) −13.1422 + 10.1351i −1.24740 + 0.961981i
\(112\) −2.12873 + 1.57116i −0.201146 + 0.148460i
\(113\) 18.6367i 1.75319i −0.481229 0.876595i \(-0.659809\pi\)
0.481229 0.876595i \(-0.340191\pi\)
\(114\) 0.161119 0.391659i 0.0150901 0.0366823i
\(115\) 1.57983 2.73634i 0.147320 0.255165i
\(116\) −3.04794 1.75973i −0.282995 0.163387i
\(117\) 1.78878 + 10.6677i 0.165373 + 0.986231i
\(118\) 3.23814i 0.298095i
\(119\) −0.0620885 0.0270870i −0.00569164 0.00248306i
\(120\) −1.58672 + 1.22366i −0.144847 + 0.111704i
\(121\) −1.39612 2.41815i −0.126920 0.219832i
\(122\) 10.2453 + 5.91511i 0.927564 + 0.535529i
\(123\) −0.108562 0.809434i −0.00978874 0.0729842i
\(124\) −2.24622 3.89056i −0.201716 0.349383i
\(125\) 10.0204i 0.896249i
\(126\) 4.91847 6.22966i 0.438172 0.554982i
\(127\) −8.83042 −0.783573 −0.391787 0.920056i \(-0.628143\pi\)
−0.391787 + 0.920056i \(0.628143\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −2.12973 + 0.285642i −0.187512 + 0.0251494i
\(130\) −2.43752 + 3.38480i −0.213785 + 0.296866i
\(131\) −7.07051 12.2465i −0.617753 1.06998i −0.989895 0.141804i \(-0.954710\pi\)
0.372141 0.928176i \(-0.378624\pi\)
\(132\) 3.92821 + 5.09371i 0.341907 + 0.443351i
\(133\) −0.520496 + 0.384164i −0.0451327 + 0.0333113i
\(134\) 7.20658i 0.622554i
\(135\) 3.62461 4.79555i 0.311957 0.412735i
\(136\) −0.0128016 + 0.0221731i −0.00109773 + 0.00190133i
\(137\) 6.70701 11.6169i 0.573019 0.992498i −0.423235 0.906020i \(-0.639106\pi\)
0.996254 0.0864777i \(-0.0275611\pi\)
\(138\) 4.37490 + 1.79972i 0.372416 + 0.153202i
\(139\) 15.0565i 1.27708i −0.769589 0.638539i \(-0.779539\pi\)
0.769589 0.638539i \(-0.220461\pi\)
\(140\) 3.04152 0.342777i 0.257056 0.0289699i
\(141\) 0.322461 0.248678i 0.0271561 0.0209425i
\(142\) −7.33784 12.7095i −0.615778 1.06656i
\(143\) 10.8659 + 7.82498i 0.908656 + 0.654358i
\(144\) −2.13159 2.11100i −0.177632 0.175917i
\(145\) 2.03577 + 3.52606i 0.169062 + 0.292823i
\(146\) −1.56853 −0.129813
\(147\) −11.3566 + 4.24586i −0.936678 + 0.350193i
\(148\) 9.58187i 0.787625i
\(149\) −4.72601 8.18569i −0.387170 0.670598i 0.604898 0.796303i \(-0.293214\pi\)
−0.992068 + 0.125705i \(0.959881\pi\)
\(150\) −6.28590 + 0.843074i −0.513242 + 0.0688367i
\(151\) 12.9798 + 7.49388i 1.05628 + 0.609843i 0.924401 0.381423i \(-0.124566\pi\)
0.131878 + 0.991266i \(0.457899\pi\)
\(152\) 0.122255 + 0.211752i 0.00991621 + 0.0171754i
\(153\) 0.0195196 0.0742882i 0.00157807 0.00600584i
\(154\) −1.10039 9.76396i −0.0886718 0.786802i
\(155\) 5.19714i 0.417444i
\(156\) −5.50785 2.94340i −0.440981 0.235661i
\(157\) 1.50376 + 0.868197i 0.120013 + 0.0692896i 0.558805 0.829299i \(-0.311260\pi\)
−0.438792 + 0.898589i \(0.644593\pi\)
\(158\) −3.01266 + 5.21808i −0.239674 + 0.415128i
\(159\) −11.9219 4.90434i −0.945465 0.388940i
\(160\) 1.15686i 0.0914582i
\(161\) −4.29118 5.81403i −0.338192 0.458210i
\(162\) 7.83753 + 4.42415i 0.615774 + 0.347594i
\(163\) 11.0173 6.36085i 0.862943 0.498221i −0.00205345 0.999998i \(-0.500654\pi\)
0.864997 + 0.501777i \(0.167320\pi\)
\(164\) 0.408341 + 0.235756i 0.0318861 + 0.0184094i
\(165\) −0.989207 7.37546i −0.0770097 0.574179i
\(166\) −3.15464 + 1.82133i −0.244848 + 0.141363i
\(167\) 6.85544i 0.530490i 0.964181 + 0.265245i \(0.0854528\pi\)
−0.964181 + 0.265245i \(0.914547\pi\)
\(168\) 1.11398 + 4.44511i 0.0859457 + 0.342948i
\(169\) −12.7382 2.59583i −0.979861 0.199679i
\(170\) 0.0256513 0.0148098i 0.00196736 0.00113586i
\(171\) −0.521196 0.516163i −0.0398568 0.0394719i
\(172\) 0.620304 1.07440i 0.0472977 0.0819221i
\(173\) 7.79711 + 13.5050i 0.592803 + 1.02677i 0.993853 + 0.110709i \(0.0353122\pi\)
−0.401049 + 0.916056i \(0.631354\pi\)
\(174\) −4.82718 + 3.72266i −0.365947 + 0.282214i
\(175\) 8.87962 + 3.87387i 0.671236 + 0.292837i
\(176\) −3.71379 −0.279937
\(177\) 5.18688 + 2.13375i 0.389870 + 0.160382i
\(178\) 8.11911 + 4.68757i 0.608553 + 0.351348i
\(179\) 3.42830 + 1.97933i 0.256243 + 0.147942i 0.622620 0.782525i \(-0.286068\pi\)
−0.366377 + 0.930467i \(0.619402\pi\)
\(180\) 0.914511 + 3.34794i 0.0681636 + 0.249541i
\(181\) 0.429161i 0.0318992i −0.999873 0.0159496i \(-0.994923\pi\)
0.999873 0.0159496i \(-0.00507714\pi\)
\(182\) 4.86611 + 8.20494i 0.360700 + 0.608190i
\(183\) 16.2259 12.5133i 1.19946 0.925007i
\(184\) −2.36531 + 1.36561i −0.174373 + 0.100674i
\(185\) −5.54247 + 9.59983i −0.407490 + 0.705794i
\(186\) −7.71207 + 1.03435i −0.565476 + 0.0758424i
\(187\) −0.0475426 0.0823462i −0.00347666 0.00602175i
\(188\) 0.235104i 0.0171467i
\(189\) −6.73774 11.9834i −0.490098 0.871667i
\(190\) 0.282866i 0.0205212i
\(191\) −1.57425 + 0.908893i −0.113909 + 0.0657652i −0.555872 0.831268i \(-0.687615\pi\)
0.441963 + 0.897033i \(0.354282\pi\)
\(192\) 1.71668 0.230243i 0.123891 0.0166164i
\(193\) −17.1426 9.89729i −1.23395 0.712422i −0.266100 0.963945i \(-0.585735\pi\)
−0.967851 + 0.251523i \(0.919069\pi\)
\(194\) −6.39773 11.0812i −0.459330 0.795583i
\(195\) 3.81561 + 6.13483i 0.273242 + 0.439325i
\(196\) 2.06294 6.68912i 0.147353 0.477794i
\(197\) −25.2444 −1.79859 −0.899296 0.437341i \(-0.855920\pi\)
−0.899296 + 0.437341i \(0.855920\pi\)
\(198\) 10.7476 2.93578i 0.763800 0.208637i
\(199\) −5.33963 3.08284i −0.378517 0.218537i 0.298656 0.954361i \(-0.403462\pi\)
−0.677173 + 0.735824i \(0.736795\pi\)
\(200\) 1.83083 3.17109i 0.129459 0.224230i
\(201\) 11.5436 + 4.74873i 0.814221 + 0.334949i
\(202\) −10.0699 −0.708514
\(203\) 9.25305 1.04281i 0.649437 0.0731909i
\(204\) 0.0270815 + 0.0351166i 0.00189608 + 0.00245865i
\(205\) −0.272738 0.472395i −0.0190488 0.0329935i
\(206\) 8.82256 + 5.09371i 0.614697 + 0.354896i
\(207\) 5.76562 5.82185i 0.400738 0.404646i
\(208\) 3.28764 1.48035i 0.227957 0.102644i
\(209\) −0.908061 −0.0628119
\(210\) 1.45513 5.09781i 0.100413 0.351782i
\(211\) −3.98179 −0.274117 −0.137059 0.990563i \(-0.543765\pi\)
−0.137059 + 0.990563i \(0.543765\pi\)
\(212\) 6.44560 3.72137i 0.442686 0.255585i
\(213\) −25.1934 + 3.37898i −1.72623 + 0.231524i
\(214\) −15.7423 9.08881i −1.07612 0.621298i
\(215\) −1.24293 + 0.717608i −0.0847673 + 0.0489405i
\(216\) −4.78602 + 2.02337i −0.325647 + 0.137673i
\(217\) 10.8943 + 4.75278i 0.739550 + 0.322640i
\(218\) 2.77840i 0.188177i
\(219\) −1.03357 + 2.51249i −0.0698425 + 0.169778i
\(220\) 3.72075 + 2.14818i 0.250853 + 0.144830i
\(221\) 0.0749110 + 0.0539463i 0.00503906 + 0.00362882i
\(222\) −15.3483 6.31391i −1.03011 0.423762i
\(223\) 2.03477 0.136258 0.0681291 0.997677i \(-0.478297\pi\)
0.0681291 + 0.997677i \(0.478297\pi\)
\(224\) −2.42502 1.05795i −0.162029 0.0706874i
\(225\) −2.79161 + 10.6244i −0.186107 + 0.708290i
\(226\) 16.1398 9.31833i 1.07361 0.619846i
\(227\) 15.6005 + 9.00694i 1.03544 + 0.597812i 0.918538 0.395332i \(-0.129370\pi\)
0.116902 + 0.993143i \(0.462704\pi\)
\(228\) 0.419746 0.0562970i 0.0277984 0.00372836i
\(229\) 9.36691 + 16.2240i 0.618983 + 1.07211i 0.989672 + 0.143353i \(0.0457884\pi\)
−0.370688 + 0.928757i \(0.620878\pi\)
\(230\) 3.15966 0.208342
\(231\) −16.3651 4.67128i −1.07674 0.307348i
\(232\) 3.51946i 0.231064i
\(233\) 17.0834 9.86309i 1.11917 0.646152i 0.177980 0.984034i \(-0.443044\pi\)
0.941189 + 0.337882i \(0.109710\pi\)
\(234\) −8.34413 + 6.88299i −0.545473 + 0.449955i
\(235\) 0.135992 0.235545i 0.00887112 0.0153652i
\(236\) −2.80431 + 1.61907i −0.182545 + 0.105392i
\(237\) 6.37320 + 8.26413i 0.413984 + 0.536813i
\(238\) −0.00758619 0.0673137i −0.000491740 0.00436330i
\(239\) −20.1417 −1.30286 −0.651428 0.758711i \(-0.725830\pi\)
−0.651428 + 0.758711i \(0.725830\pi\)
\(240\) −1.85308 0.762308i −0.119616 0.0492068i
\(241\) −11.1359 + 19.2880i −0.717327 + 1.24245i 0.244729 + 0.969592i \(0.421301\pi\)
−0.962055 + 0.272855i \(0.912032\pi\)
\(242\) 1.39612 2.41815i 0.0897460 0.155445i
\(243\) 12.2511 9.63897i 0.785911 0.618340i
\(244\) 11.8302i 0.757353i
\(245\) −5.93601 + 5.50838i −0.379238 + 0.351918i
\(246\) 0.646709 0.498735i 0.0412327 0.0317982i
\(247\) 0.803863 0.361960i 0.0511486 0.0230310i
\(248\) 2.24622 3.89056i 0.142635 0.247051i
\(249\) 0.838700 + 6.25329i 0.0531504 + 0.396286i
\(250\) −8.67790 + 5.01019i −0.548838 + 0.316872i
\(251\) 20.5563 1.29750 0.648752 0.761000i \(-0.275291\pi\)
0.648752 + 0.761000i \(0.275291\pi\)
\(252\) 7.85428 + 1.14469i 0.494773 + 0.0721086i
\(253\) 10.1432i 0.637697i
\(254\) −4.41521 7.64737i −0.277035 0.479839i
\(255\) −0.00681970 0.0508472i −0.000427066 0.00318418i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.10857 + 8.84830i 0.318664 + 0.551942i 0.980210 0.197963i \(-0.0634326\pi\)
−0.661546 + 0.749905i \(0.730099\pi\)
\(258\) −1.31224 1.70158i −0.0816963 0.105936i
\(259\) 15.0546 + 20.3972i 0.935448 + 1.26742i
\(260\) −4.15008 0.418557i −0.257377 0.0259578i
\(261\) 2.78216 + 10.1852i 0.172212 + 0.630451i
\(262\) 7.07051 12.2465i 0.436818 0.756590i
\(263\) 24.3841 + 14.0782i 1.50359 + 0.868097i 0.999991 + 0.00415905i \(0.00132387\pi\)
0.503598 + 0.863938i \(0.332009\pi\)
\(264\) −2.44718 + 5.94879i −0.150613 + 0.366122i
\(265\) −8.61025 −0.528923
\(266\) −0.592944 0.258681i −0.0363557 0.0158607i
\(267\) 12.8586 9.91642i 0.786935 0.606875i
\(268\) −6.24108 + 3.60329i −0.381235 + 0.220106i
\(269\) 14.6822 25.4302i 0.895187 1.55051i 0.0616140 0.998100i \(-0.480375\pi\)
0.833573 0.552409i \(-0.186291\pi\)
\(270\) 5.96537 + 0.741228i 0.363041 + 0.0451097i
\(271\) 14.2082 + 24.6093i 0.863085 + 1.49491i 0.868937 + 0.494923i \(0.164804\pi\)
−0.00585211 + 0.999983i \(0.501863\pi\)
\(272\) −0.0256033 −0.00155243
\(273\) 16.3492 2.38800i 0.989501 0.144528i
\(274\) 13.4140 0.810371
\(275\) 6.79933 + 11.7768i 0.410015 + 0.710166i
\(276\) 0.628846 + 4.68864i 0.0378521 + 0.282223i
\(277\) −13.8268 + 23.9486i −0.830769 + 1.43893i 0.0666595 + 0.997776i \(0.478766\pi\)
−0.897429 + 0.441159i \(0.854567\pi\)
\(278\) 13.0393 7.52827i 0.782048 0.451516i
\(279\) −3.42498 + 13.0348i −0.205048 + 0.780375i
\(280\) 1.81761 + 2.46265i 0.108623 + 0.147171i
\(281\) −12.3610 −0.737394 −0.368697 0.929550i \(-0.620196\pi\)
−0.368697 + 0.929550i \(0.620196\pi\)
\(282\) 0.376592 + 0.154920i 0.0224257 + 0.00922536i
\(283\) 11.8406 + 6.83616i 0.703849 + 0.406367i 0.808779 0.588112i \(-0.200129\pi\)
−0.104930 + 0.994480i \(0.533462\pi\)
\(284\) 7.33784 12.7095i 0.435421 0.754171i
\(285\) −0.453097 0.186392i −0.0268391 0.0110409i
\(286\) −1.34366 + 13.3227i −0.0794523 + 0.787786i
\(287\) −1.23965 + 0.139708i −0.0731745 + 0.00824669i
\(288\) 0.762388 2.90151i 0.0449241 0.170973i
\(289\) 8.49967 + 14.7219i 0.499981 + 0.865992i
\(290\) −2.03577 + 3.52606i −0.119545 + 0.207057i
\(291\) −21.9657 + 2.94607i −1.28765 + 0.172702i
\(292\) −0.784266 1.35839i −0.0458957 0.0794937i
\(293\) 4.20649i 0.245746i −0.992422 0.122873i \(-0.960789\pi\)
0.992422 0.122873i \(-0.0392107\pi\)
\(294\) −9.35533 7.71219i −0.545614 0.449784i
\(295\) 3.74609 0.218106
\(296\) 8.29815 4.79094i 0.482320 0.278468i
\(297\) 2.37951 19.1502i 0.138073 1.11120i
\(298\) 4.72601 8.18569i 0.273771 0.474184i
\(299\) 4.04316 + 8.97928i 0.233822 + 0.519285i
\(300\) −3.87307 5.02221i −0.223612 0.289958i
\(301\) 0.367590 + 3.26169i 0.0211875 + 0.188001i
\(302\) 14.9878i 0.862448i
\(303\) −6.63547 + 16.1300i −0.381198 + 0.926646i
\(304\) −0.122255 + 0.211752i −0.00701182 + 0.0121448i
\(305\) 6.84299 11.8524i 0.391828 0.678666i
\(306\) 0.0740952 0.0202396i 0.00423574 0.00115702i
\(307\) 21.1492 1.20705 0.603524 0.797345i \(-0.293763\pi\)
0.603524 + 0.797345i \(0.293763\pi\)
\(308\) 7.90564 5.83494i 0.450466 0.332477i
\(309\) 13.9727 10.7756i 0.794880 0.613003i
\(310\) −4.50085 + 2.59857i −0.255631 + 0.147589i
\(311\) 15.6755 27.1507i 0.888874 1.53957i 0.0476652 0.998863i \(-0.484822\pi\)
0.841208 0.540711i \(-0.181845\pi\)
\(312\) −0.204865 6.24164i −0.0115982 0.353363i
\(313\) 28.3855 16.3884i 1.60444 0.926325i 0.613858 0.789417i \(-0.289617\pi\)
0.990584 0.136908i \(-0.0437165\pi\)
\(314\) 1.73639i 0.0979903i
\(315\) −7.20687 5.69000i −0.406061 0.320595i
\(316\) −6.02532 −0.338951
\(317\) −11.1137 19.2495i −0.624209 1.08116i −0.988693 0.149952i \(-0.952088\pi\)
0.364484 0.931210i \(-0.381245\pi\)
\(318\) −1.71364 12.7768i −0.0960963 0.716487i
\(319\) 11.3194 + 6.53528i 0.633766 + 0.365905i
\(320\) 1.00187 0.578432i 0.0560065 0.0323354i
\(321\) −24.9318 + 19.2271i −1.39156 + 1.07315i
\(322\) 2.88951 6.62328i 0.161026 0.369101i
\(323\) −0.00626027 −0.000348331
\(324\) 0.0873358 + 8.99958i 0.00485199 + 0.499976i
\(325\) −10.7134 7.71515i −0.594274 0.427960i
\(326\) 11.0173 + 6.36085i 0.610193 + 0.352295i
\(327\) 4.45046 + 1.83081i 0.246111 + 0.101244i
\(328\) 0.471512i 0.0260349i
\(329\) −0.369385 0.500472i −0.0203648 0.0275919i
\(330\) 5.89273 4.54441i 0.324384 0.250161i
\(331\) 16.0419 9.26179i 0.881742 0.509074i 0.0105099 0.999945i \(-0.496655\pi\)
0.871233 + 0.490871i \(0.163321\pi\)
\(332\) −3.15464 1.82133i −0.173133 0.0999586i
\(333\) −20.2274 + 20.4246i −1.10845 + 1.11926i
\(334\) −5.93699 + 3.42772i −0.324857 + 0.187557i
\(335\) 8.33704 0.455501
\(336\) −3.29259 + 3.18729i −0.179626 + 0.173881i
\(337\) −17.9572 −0.978191 −0.489095 0.872230i \(-0.662673\pi\)
−0.489095 + 0.872230i \(0.662673\pi\)
\(338\) −4.12105 12.3295i −0.224155 0.670637i
\(339\) −4.29097 31.9932i −0.233053 1.73763i
\(340\) 0.0256513 + 0.0148098i 0.00139113 + 0.000803172i
\(341\) 8.34198 + 14.4487i 0.451743 + 0.782442i
\(342\) 0.186412 0.709450i 0.0100800 0.0383627i
\(343\) 6.11820 + 17.4805i 0.330352 + 0.943858i
\(344\) 1.24061 0.0668891
\(345\) 2.08203 5.06117i 0.112093 0.272484i
\(346\) −7.79711 + 13.5050i −0.419175 + 0.726033i
\(347\) 0.436830 + 0.252204i 0.0234503 + 0.0135390i 0.511679 0.859177i \(-0.329024\pi\)
−0.488229 + 0.872716i \(0.662357\pi\)
\(348\) −5.63751 2.31913i −0.302202 0.124318i
\(349\) −22.5405 −1.20656 −0.603282 0.797528i \(-0.706141\pi\)
−0.603282 + 0.797528i \(0.706141\pi\)
\(350\) 1.08494 + 9.62691i 0.0579927 + 0.514580i
\(351\) 5.52694 + 17.9012i 0.295006 + 0.955495i
\(352\) −1.85690 3.21624i −0.0989728 0.171426i
\(353\) 13.8668 + 8.00600i 0.738055 + 0.426116i 0.821362 0.570408i \(-0.193215\pi\)
−0.0833068 + 0.996524i \(0.526548\pi\)
\(354\) 0.745560 + 5.55884i 0.0396260 + 0.295449i
\(355\) −14.7032 + 8.48889i −0.780364 + 0.450543i
\(356\) 9.37514i 0.496881i
\(357\) −0.112823 0.0322043i −0.00597121 0.00170443i
\(358\) 3.95866i 0.209222i
\(359\) 7.67875 + 13.3000i 0.405269 + 0.701947i 0.994353 0.106125i \(-0.0338445\pi\)
−0.589084 + 0.808072i \(0.700511\pi\)
\(360\) −2.44214 + 2.46596i −0.128712 + 0.129967i
\(361\) 9.47011 16.4027i 0.498427 0.863300i
\(362\) 0.371664 0.214580i 0.0195342 0.0112781i
\(363\) −2.95345 3.82974i −0.155016 0.201009i
\(364\) −4.67263 + 8.31664i −0.244912 + 0.435911i
\(365\) 1.81458i 0.0949795i
\(366\) 18.9498 + 7.79545i 0.990520 + 0.407474i
\(367\) −27.0095 15.5939i −1.40988 0.813996i −0.414506 0.910047i \(-0.636045\pi\)
−0.995376 + 0.0960509i \(0.969379\pi\)
\(368\) −2.36531 1.36561i −0.123300 0.0711875i
\(369\) −0.372734 1.36454i −0.0194037 0.0710353i
\(370\) −11.0849 −0.576278
\(371\) −7.87407 + 18.0488i −0.408801 + 0.937048i
\(372\) −4.75181 6.16167i −0.246370 0.319468i
\(373\) 2.30810 + 3.99775i 0.119509 + 0.206996i 0.919573 0.392919i \(-0.128535\pi\)
−0.800064 + 0.599914i \(0.795201\pi\)
\(374\) 0.0475426 0.0823462i 0.00245837 0.00425802i
\(375\) 2.30712 + 17.2018i 0.119139 + 0.888296i
\(376\) −0.203606 + 0.117552i −0.0105002 + 0.00606228i
\(377\) −12.6256 1.27335i −0.650249 0.0655809i
\(378\) 7.00909 11.8268i 0.360509 0.608304i
\(379\) 3.52362i 0.180996i −0.995897 0.0904982i \(-0.971154\pi\)
0.995897 0.0904982i \(-0.0288459\pi\)
\(380\) 0.244969 0.141433i 0.0125666 0.00725535i
\(381\) −15.1590 + 2.03315i −0.776619 + 0.104161i
\(382\) −1.57425 0.908893i −0.0805456 0.0465030i
\(383\) −1.24813 + 0.720607i −0.0637763 + 0.0368213i −0.531549 0.847027i \(-0.678390\pi\)
0.467773 + 0.883849i \(0.345057\pi\)
\(384\) 1.05774 + 1.37157i 0.0539774 + 0.0699924i
\(385\) −11.2956 + 1.27300i −0.575676 + 0.0648781i
\(386\) 19.7946i 1.00752i
\(387\) −3.59029 + 0.980711i −0.182505 + 0.0498523i
\(388\) 6.39773 11.0812i 0.324795 0.562562i
\(389\) −7.08963 4.09320i −0.359459 0.207533i 0.309385 0.950937i \(-0.399877\pi\)
−0.668843 + 0.743403i \(0.733210\pi\)
\(390\) −3.40512 + 6.37184i −0.172425 + 0.322650i
\(391\) 0.0699283i 0.00353643i
\(392\) 6.82442 1.55800i 0.344685 0.0786908i
\(393\) −14.9575 19.3953i −0.754505 0.978366i
\(394\) −12.6222 21.8623i −0.635898 1.10141i
\(395\) 6.03661 + 3.48524i 0.303735 + 0.175362i
\(396\) 7.91627 + 7.83982i 0.397808 + 0.393966i
\(397\) −6.43999 11.1544i −0.323214 0.559823i 0.657935 0.753074i \(-0.271430\pi\)
−0.981149 + 0.193252i \(0.938097\pi\)
\(398\) 6.16568i 0.309058i
\(399\) −0.805073 + 0.779327i −0.0403041 + 0.0390152i
\(400\) 3.66166 0.183083
\(401\) −4.27201 7.39934i −0.213334 0.369505i 0.739422 0.673242i \(-0.235099\pi\)
−0.952756 + 0.303737i \(0.901766\pi\)
\(402\) 1.65927 + 12.3714i 0.0827567 + 0.617029i
\(403\) −13.1441 9.46558i −0.654755 0.471514i
\(404\) −5.03494 8.72077i −0.250498 0.433874i
\(405\) 5.11815 9.06696i 0.254323 0.450541i
\(406\) 5.52962 + 7.49197i 0.274431 + 0.371820i
\(407\) 35.5851i 1.76389i
\(408\) −0.0168711 + 0.0410116i −0.000835244 + 0.00203037i
\(409\) 10.1026 17.4982i 0.499542 0.865232i −0.500458 0.865761i \(-0.666835\pi\)
1.00000 0.000529035i \(0.000168397\pi\)
\(410\) 0.272738 0.472395i 0.0134695 0.0233299i
\(411\) 8.83908 21.4867i 0.436000 1.05986i
\(412\) 10.1874i 0.501898i
\(413\) 3.42579 7.85256i 0.168572 0.386399i
\(414\) 7.92468 + 2.08225i 0.389477 + 0.102337i
\(415\) 2.10704 + 3.64949i 0.103430 + 0.179147i
\(416\) 2.92584 + 2.10701i 0.143451 + 0.103305i
\(417\) −3.46667 25.8472i −0.169763 1.26575i
\(418\) −0.454031 0.786404i −0.0222074 0.0384643i
\(419\) 2.16600 0.105816 0.0529081 0.998599i \(-0.483151\pi\)
0.0529081 + 0.998599i \(0.483151\pi\)
\(420\) 5.14240 1.28873i 0.250923 0.0628835i
\(421\) 14.2671i 0.695334i 0.937618 + 0.347667i \(0.113026\pi\)
−0.937618 + 0.347667i \(0.886974\pi\)
\(422\) −1.99089 3.44833i −0.0969152 0.167862i
\(423\) 0.496305 0.501145i 0.0241312 0.0243665i
\(424\) 6.44560 + 3.72137i 0.313026 + 0.180726i
\(425\) 0.0468753 + 0.0811904i 0.00227379 + 0.00393831i
\(426\) −15.5230 20.1287i −0.752092 0.975237i
\(427\) −18.5871 25.1833i −0.899494 1.21871i
\(428\) 18.1776i 0.878648i
\(429\) 20.4550 + 10.9312i 0.987576 + 0.527762i
\(430\) −1.24293 0.717608i −0.0599396 0.0346061i
\(431\) 17.2738 29.9190i 0.832048 1.44115i −0.0643642 0.997926i \(-0.520502\pi\)
0.896412 0.443222i \(-0.146165\pi\)
\(432\) −4.14530 3.13313i −0.199441 0.150743i
\(433\) 0.715483i 0.0343839i −0.999852 0.0171920i \(-0.994527\pi\)
0.999852 0.0171920i \(-0.00547264\pi\)
\(434\) 1.33110 + 11.8111i 0.0638947 + 0.566950i
\(435\) 4.30662 + 5.58439i 0.206487 + 0.267751i
\(436\) −2.40616 + 1.38920i −0.115234 + 0.0665306i
\(437\) −0.578343 0.333907i −0.0276659 0.0159729i
\(438\) −2.69267 + 0.361144i −0.128661 + 0.0172561i
\(439\) 15.5035 8.95097i 0.739944 0.427207i −0.0821052 0.996624i \(-0.526164\pi\)
0.822049 + 0.569417i \(0.192831\pi\)
\(440\) 4.29635i 0.204821i
\(441\) −18.5181 + 9.90356i −0.881813 + 0.471598i
\(442\) −0.00926333 + 0.0918479i −0.000440612 + 0.00436876i
\(443\) −14.3289 + 8.27278i −0.680785 + 0.393052i −0.800151 0.599799i \(-0.795247\pi\)
0.119366 + 0.992850i \(0.461914\pi\)
\(444\) −2.20616 16.4490i −0.104700 0.780635i
\(445\) 5.42288 9.39271i 0.257069 0.445257i
\(446\) 1.01738 + 1.76216i 0.0481745 + 0.0834407i
\(447\) −9.99775 12.9641i −0.472877 0.613180i
\(448\) −0.296298 2.62911i −0.0139988 0.124214i
\(449\) 26.7037 1.26023 0.630113 0.776503i \(-0.283009\pi\)
0.630113 + 0.776503i \(0.283009\pi\)
\(450\) −10.5968 + 2.89458i −0.499536 + 0.136452i
\(451\) −1.51649 0.875548i −0.0714089 0.0412279i
\(452\) 16.1398 + 9.31833i 0.759153 + 0.438297i
\(453\) 24.0075 + 9.87608i 1.12797 + 0.464019i
\(454\) 18.0139i 0.845433i
\(455\) 9.49200 5.62943i 0.444992 0.263912i
\(456\) 0.258628 + 0.335362i 0.0121114 + 0.0157048i
\(457\) −32.4759 + 18.7500i −1.51916 + 0.877087i −0.519413 + 0.854523i \(0.673849\pi\)
−0.999745 + 0.0225635i \(0.992817\pi\)
\(458\) −9.36691 + 16.2240i −0.437687 + 0.758096i
\(459\) 0.0164046 0.132023i 0.000765700 0.00616232i
\(460\) 1.57983 + 2.73634i 0.0736599 + 0.127583i
\(461\) 8.31097i 0.387080i 0.981092 + 0.193540i \(0.0619970\pi\)
−0.981092 + 0.193540i \(0.938003\pi\)
\(462\) −4.13710 16.5082i −0.192475 0.768032i
\(463\) 28.8122i 1.33902i −0.742805 0.669508i \(-0.766505\pi\)
0.742805 0.669508i \(-0.233495\pi\)
\(464\) 3.04794 1.75973i 0.141497 0.0816935i
\(465\) 1.19661 + 8.92182i 0.0554913 + 0.413739i
\(466\) 17.0834 + 9.86309i 0.791372 + 0.456899i
\(467\) −10.3800 17.9787i −0.480328 0.831953i 0.519417 0.854521i \(-0.326149\pi\)
−0.999745 + 0.0225677i \(0.992816\pi\)
\(468\) −10.1329 3.78473i −0.468394 0.174949i
\(469\) 7.62422 17.4761i 0.352054 0.806972i
\(470\) 0.271983 0.0125457
\(471\) 2.78137 + 1.14418i 0.128159 + 0.0527212i
\(472\) −2.80431 1.61907i −0.129079 0.0745237i
\(473\) −2.30368 + 3.99009i −0.105923 + 0.183465i
\(474\) −3.97034 + 9.65142i −0.182364 + 0.443304i
\(475\) 0.895316 0.0410799
\(476\) 0.0545023 0.0402267i 0.00249811 0.00184379i
\(477\) −21.5952 5.67426i −0.988776 0.259806i
\(478\) −10.0708 17.4432i −0.460629 0.797833i
\(479\) −15.1644 8.75519i −0.692881 0.400035i 0.111809 0.993730i \(-0.464335\pi\)
−0.804690 + 0.593695i \(0.797669\pi\)
\(480\) −0.266360 1.98597i −0.0121576 0.0906465i
\(481\) −14.1845 31.5017i −0.646757 1.43636i
\(482\) −22.2718 −1.01445
\(483\) −8.70522 8.99280i −0.396101 0.409187i
\(484\) 2.79224 0.126920
\(485\) −12.8194 + 7.40130i −0.582101 + 0.336076i
\(486\) 14.4732 + 5.79031i 0.656516 + 0.262654i
\(487\) −0.122893 0.0709520i −0.00556879 0.00321514i 0.497213 0.867628i \(-0.334357\pi\)
−0.502782 + 0.864413i \(0.667690\pi\)
\(488\) −10.2453 + 5.91511i −0.463782 + 0.267765i
\(489\) 17.4487 13.4562i 0.789056 0.608511i
\(490\) −7.73840 2.38654i −0.349585 0.107813i
\(491\) 10.0187i 0.452138i −0.974111 0.226069i \(-0.927413\pi\)
0.974111 0.226069i \(-0.0725875\pi\)
\(492\) 0.755272 + 0.310699i 0.0340503 + 0.0140074i
\(493\) 0.0780373 + 0.0450549i 0.00351463 + 0.00202917i
\(494\) 0.715398 + 0.515185i 0.0321873 + 0.0231793i
\(495\) −3.39630 12.4335i −0.152652 0.558846i
\(496\) 4.49243 0.201716
\(497\) 4.34837 + 38.5839i 0.195051 + 1.73073i
\(498\) −4.99616 + 3.85298i −0.223883 + 0.172656i
\(499\) 9.05469 5.22772i 0.405343 0.234025i −0.283444 0.958989i \(-0.591477\pi\)
0.688787 + 0.724964i \(0.258144\pi\)
\(500\) −8.67790 5.01019i −0.388087 0.224062i
\(501\) 1.57842 + 11.7686i 0.0705186 + 0.525782i
\(502\) 10.2782 + 17.8023i 0.458737 + 0.794556i
\(503\) −13.6155 −0.607083 −0.303542 0.952818i \(-0.598169\pi\)
−0.303542 + 0.952818i \(0.598169\pi\)
\(504\) 2.93581 + 7.37435i 0.130771 + 0.328480i
\(505\) 11.6495i 0.518395i
\(506\) 8.78427 5.07160i 0.390508 0.225460i
\(507\) −22.4651 1.52332i −0.997709 0.0676530i
\(508\) 4.41521 7.64737i 0.195893 0.339297i
\(509\) −8.06558 + 4.65666i −0.357500 + 0.206403i −0.667984 0.744176i \(-0.732842\pi\)
0.310483 + 0.950579i \(0.399509\pi\)
\(510\) 0.0406251 0.0313296i 0.00179891 0.00138730i
\(511\) 3.80373 + 1.65943i 0.168267 + 0.0734090i
\(512\) −1.00000 −0.0441942
\(513\) −1.01357 0.766084i −0.0447502 0.0338234i
\(514\) −5.10857 + 8.84830i −0.225329 + 0.390282i
\(515\) 5.89273 10.2065i 0.259665 0.449753i
\(516\) 0.817490 1.98722i 0.0359880 0.0874824i
\(517\) 0.873127i 0.0384001i
\(518\) −10.1372 + 23.2363i −0.445401 + 1.02094i
\(519\) 16.4946 + 21.3885i 0.724032 + 0.938851i
\(520\) −1.71256 3.80335i −0.0751007 0.166788i
\(521\) 6.86110 11.8838i 0.300590 0.520637i −0.675680 0.737195i \(-0.736150\pi\)
0.976270 + 0.216558i \(0.0694830\pi\)
\(522\) −7.42960 + 7.50205i −0.325185 + 0.328356i
\(523\) −23.6617 + 13.6611i −1.03465 + 0.597358i −0.918315 0.395851i \(-0.870450\pi\)
−0.116340 + 0.993209i \(0.537116\pi\)
\(524\) 14.1410 0.617753
\(525\) 16.1354 + 4.60571i 0.704206 + 0.201010i
\(526\) 28.1563i 1.22768i
\(527\) 0.0575105 + 0.0996111i 0.00250520 + 0.00433913i
\(528\) −6.37539 + 0.855076i −0.277453 + 0.0372124i
\(529\) −7.77021 + 13.4584i −0.337835 + 0.585147i
\(530\) −4.30512 7.45669i −0.187003 0.323898i
\(531\) 9.39549 + 2.46872i 0.407729 + 0.107133i
\(532\) −0.0724480 0.642845i −0.00314102 0.0278709i
\(533\) 1.69148 + 0.170594i 0.0732661 + 0.00738925i
\(534\) 15.0172 + 6.17768i 0.649857 + 0.267334i
\(535\) −10.5145 + 18.2117i −0.454582 + 0.787360i
\(536\) −6.24108 3.60329i −0.269574 0.155638i
\(537\) 6.34101 + 2.60853i 0.273635 + 0.112566i
\(538\) 29.3643 1.26599
\(539\) −7.66133 + 24.8420i −0.329997 + 1.07002i
\(540\) 2.34076 + 5.53678i 0.100730 + 0.238265i
\(541\) −5.89940 + 3.40602i −0.253635 + 0.146436i −0.621428 0.783472i \(-0.713447\pi\)
0.367793 + 0.929908i \(0.380114\pi\)
\(542\) −14.2082 + 24.6093i −0.610293 + 1.05706i
\(543\) −0.0988114 0.736731i −0.00424040 0.0316162i
\(544\) −0.0128016 0.0221731i −0.000548866 0.000950663i
\(545\) 3.21423 0.137682
\(546\) 10.2427 + 12.9649i 0.438346 + 0.554845i
\(547\) 14.2644 0.609901 0.304951 0.952368i \(-0.401360\pi\)
0.304951 + 0.952368i \(0.401360\pi\)
\(548\) 6.70701 + 11.6169i 0.286509 + 0.496249i
\(549\) 24.9736 25.2172i 1.06585 1.07624i
\(550\) −6.79933 + 11.7768i −0.289924 + 0.502164i
\(551\) 0.745255 0.430273i 0.0317489 0.0183302i
\(552\) −3.74606 + 2.88892i −0.159443 + 0.122960i
\(553\) 12.8263 9.46672i 0.545428 0.402566i
\(554\) −27.6535 −1.17489
\(555\) −7.30434 + 17.7559i −0.310052 + 0.753698i
\(556\) 13.0393 + 7.52827i 0.552991 + 0.319270i
\(557\) 10.8866 18.8561i 0.461279 0.798958i −0.537746 0.843107i \(-0.680724\pi\)
0.999025 + 0.0441487i \(0.0140575\pi\)
\(558\) −13.0010 + 3.55130i −0.550376 + 0.150339i
\(559\) 0.448855 4.45050i 0.0189846 0.188236i
\(560\) −1.22391 + 2.80542i −0.0517195 + 0.118551i
\(561\) −0.100575 0.130416i −0.00424628 0.00550615i
\(562\) −6.18049 10.7049i −0.260708 0.451560i
\(563\) 5.19862 9.00428i 0.219096 0.379485i −0.735436 0.677594i \(-0.763023\pi\)
0.954532 + 0.298109i \(0.0963560\pi\)
\(564\) 0.0541311 + 0.403598i 0.00227933 + 0.0169945i
\(565\) −10.7800 18.6716i −0.453520 0.785520i
\(566\) 13.6723i 0.574690i
\(567\) −14.3256 19.0204i −0.601621 0.798782i
\(568\) 14.6757 0.615778
\(569\) −14.6618 + 8.46500i −0.614655 + 0.354871i −0.774785 0.632225i \(-0.782142\pi\)
0.160130 + 0.987096i \(0.448809\pi\)
\(570\) −0.0651280 0.485590i −0.00272791 0.0203391i
\(571\) 8.19990 14.2026i 0.343155 0.594362i −0.641862 0.766820i \(-0.721838\pi\)
0.985017 + 0.172458i \(0.0551710\pi\)
\(572\) −12.2096 + 5.49769i −0.510509 + 0.229870i
\(573\) −2.49321 + 1.92274i −0.104156 + 0.0803236i
\(574\) −0.740818 1.00372i −0.0309211 0.0418944i
\(575\) 10.0008i 0.417063i
\(576\) 2.89398 0.790508i 0.120582 0.0329378i
\(577\) −11.8397 + 20.5070i −0.492894 + 0.853718i −0.999966 0.00818553i \(-0.997394\pi\)
0.507072 + 0.861904i \(0.330728\pi\)
\(578\) −8.49967 + 14.7219i −0.353540 + 0.612349i
\(579\) −31.7071 13.0435i −1.31770 0.542069i
\(580\) −4.07154 −0.169062
\(581\) 9.57696 1.07931i 0.397319 0.0447775i
\(582\) −13.5342 17.5498i −0.561011 0.727463i
\(583\) −23.9376 + 13.8204i −0.991395 + 0.572382i
\(584\) 0.784266 1.35839i 0.0324532 0.0562106i
\(585\) 7.96269 + 9.65302i 0.329217 + 0.399103i
\(586\) 3.64292 2.10324i 0.150488 0.0868842i
\(587\) 43.3060i 1.78743i −0.448633 0.893716i \(-0.648089\pi\)
0.448633 0.893716i \(-0.351911\pi\)
\(588\) 2.00128 11.9580i 0.0825316 0.493141i
\(589\) 1.09845 0.0452607
\(590\) 1.87304 + 3.24421i 0.0771120 + 0.133562i
\(591\) −43.3366 + 5.81236i −1.78263 + 0.239089i
\(592\) 8.29815 + 4.79094i 0.341052 + 0.196906i
\(593\) −18.9754 + 10.9554i −0.779226 + 0.449886i −0.836156 0.548492i \(-0.815202\pi\)
0.0569301 + 0.998378i \(0.481869\pi\)
\(594\) 17.7743 7.51436i 0.729287 0.308318i
\(595\) −0.0778729 + 0.00877620i −0.00319248 + 0.000359789i
\(596\) 9.45202 0.387170
\(597\) −9.87624 4.06283i −0.404208 0.166281i
\(598\) −5.75471 + 7.99112i −0.235328 + 0.326781i
\(599\) −39.3065 22.6936i −1.60602 0.927237i −0.990248 0.139314i \(-0.955510\pi\)
−0.615773 0.787923i \(-0.711156\pi\)
\(600\) 2.41283 5.86529i 0.0985033 0.239449i
\(601\) 8.20455i 0.334671i 0.985900 + 0.167335i \(0.0535163\pi\)
−0.985900 + 0.167335i \(0.946484\pi\)
\(602\) −2.64091 + 1.94919i −0.107636 + 0.0794430i
\(603\) 20.9100 + 5.49421i 0.851520 + 0.223741i
\(604\) −12.9798 + 7.49388i −0.528140 + 0.304922i
\(605\) −2.79747 1.61512i −0.113733 0.0656640i
\(606\) −17.2867 + 2.31852i −0.702226 + 0.0941835i
\(607\) −24.0464 + 13.8832i −0.976012 + 0.563501i −0.901064 0.433687i \(-0.857212\pi\)
−0.0749481 + 0.997187i \(0.523879\pi\)
\(608\) −0.244511 −0.00991621
\(609\) 15.6444 3.92062i 0.633944 0.158872i
\(610\) 13.6860 0.554129
\(611\) 0.348035 + 0.772937i 0.0140800 + 0.0312697i
\(612\) 0.0545756 + 0.0540486i 0.00220609 + 0.00218478i
\(613\) −15.8517 9.15200i −0.640245 0.369646i 0.144464 0.989510i \(-0.453854\pi\)
−0.784709 + 0.619864i \(0.787188\pi\)
\(614\) 10.5746 + 18.3157i 0.426756 + 0.739163i
\(615\) −0.576969 0.748155i −0.0232656 0.0301685i
\(616\) 9.00603 + 3.92901i 0.362863 + 0.158304i
\(617\) 22.1693 0.892502 0.446251 0.894908i \(-0.352759\pi\)
0.446251 + 0.894908i \(0.352759\pi\)
\(618\) 16.3183 + 6.71293i 0.656419 + 0.270034i
\(619\) 19.7675 34.2384i 0.794525 1.37616i −0.128616 0.991695i \(-0.541053\pi\)
0.923140 0.384463i \(-0.125613\pi\)
\(620\) −4.50085 2.59857i −0.180759 0.104361i
\(621\) 8.55728 11.3217i 0.343392 0.454326i
\(622\) 31.3509 1.25706
\(623\) −14.7298 19.9571i −0.590137 0.799564i
\(624\) 5.30298 3.29824i 0.212289 0.132035i
\(625\) −3.35805 5.81632i −0.134322 0.232653i
\(626\) 28.3855 + 16.3884i 1.13451 + 0.655011i
\(627\) −1.55885 + 0.209075i −0.0622545 + 0.00834965i
\(628\) −1.50376 + 0.868197i −0.0600066 + 0.0346448i
\(629\) 0.245327i 0.00978184i
\(630\) 1.32425 9.08634i 0.0527594 0.362008i
\(631\) 38.3301i 1.52590i 0.646460 + 0.762948i \(0.276249\pi\)
−0.646460 + 0.762948i \(0.723751\pi\)
\(632\) −3.01266 5.21808i −0.119837 0.207564i
\(633\) −6.83545 + 0.916780i −0.271685 + 0.0364387i
\(634\) 11.1137 19.2495i 0.441382 0.764497i
\(635\) −8.84697 + 5.10780i −0.351081 + 0.202697i
\(636\) 10.2082 7.87246i 0.404782 0.312163i
\(637\) −3.12000 25.0453i −0.123619 0.992330i
\(638\) 13.0706i 0.517468i
\(639\) −42.4711 + 11.6012i −1.68013 + 0.458938i
\(640\) 1.00187 + 0.578432i 0.0396026 + 0.0228645i
\(641\) 13.7967 + 7.96553i 0.544937 + 0.314620i 0.747077 0.664737i \(-0.231456\pi\)
−0.202140 + 0.979357i \(0.564790\pi\)
\(642\) −29.1171 11.9780i −1.14916 0.472734i
\(643\) 20.5219 0.809303 0.404652 0.914471i \(-0.367393\pi\)
0.404652 + 0.914471i \(0.367393\pi\)
\(644\) 7.18068 0.809256i 0.282959 0.0318892i
\(645\) −1.96849 + 1.51808i −0.0775094 + 0.0597743i
\(646\) −0.00313014 0.00542155i −0.000123154 0.000213308i
\(647\) −17.2187 + 29.8237i −0.676938 + 1.17249i 0.298960 + 0.954266i \(0.403360\pi\)
−0.975898 + 0.218226i \(0.929973\pi\)
\(648\) −7.75019 + 4.57542i −0.304456 + 0.179740i
\(649\) 10.4146 6.01288i 0.408809 0.236026i
\(650\) 1.32480 13.1357i 0.0519629 0.515224i
\(651\) 19.7962 + 5.65067i 0.775875 + 0.221467i
\(652\) 12.7217i 0.498221i
\(653\) −15.3842 + 8.88210i −0.602032 + 0.347583i −0.769841 0.638236i \(-0.779664\pi\)
0.167808 + 0.985820i \(0.446331\pi\)
\(654\) 0.639708 + 4.76962i 0.0250145 + 0.186507i
\(655\) −14.1675 8.17963i −0.553571 0.319604i
\(656\) −0.408341 + 0.235756i −0.0159430 + 0.00920472i
\(657\) −1.19583 + 4.55112i −0.0466538 + 0.177556i
\(658\) 0.248729 0.570132i 0.00969646 0.0222261i
\(659\) 9.50676i 0.370331i −0.982707 0.185165i \(-0.940718\pi\)
0.982707 0.185165i \(-0.0592821\pi\)
\(660\) 6.88194 + 2.83105i 0.267879 + 0.110199i
\(661\) 17.2613 29.8975i 0.671387 1.16288i −0.306124 0.951992i \(-0.599032\pi\)
0.977511 0.210885i \(-0.0676345\pi\)
\(662\) 16.0419 + 9.26179i 0.623486 + 0.359970i
\(663\) 0.141019 + 0.0753607i 0.00547672 + 0.00292677i
\(664\) 3.64267i 0.141363i
\(665\) −0.299258 + 0.685956i −0.0116047 + 0.0266002i
\(666\) −27.8019 7.30510i −1.07730 0.283067i
\(667\) 4.80622 + 8.32462i 0.186098 + 0.322331i
\(668\) −5.93699 3.42772i −0.229709 0.132622i
\(669\) 3.49304 0.468492i 0.135049 0.0181129i
\(670\) 4.16852 + 7.22009i 0.161044 + 0.278936i
\(671\) 43.9350i 1.69609i
\(672\) −4.40657 1.25782i −0.169987 0.0485214i
\(673\) −30.8952 −1.19092 −0.595460 0.803385i \(-0.703030\pi\)
−0.595460 + 0.803385i \(0.703030\pi\)
\(674\) −8.97860 15.5514i −0.345843 0.599017i
\(675\) −2.34611 + 18.8814i −0.0903017 + 0.726744i
\(676\) 8.61715 9.73369i 0.331429 0.374373i
\(677\) 23.5469 + 40.7844i 0.904979 + 1.56747i 0.820945 + 0.571007i \(0.193447\pi\)
0.0840345 + 0.996463i \(0.473219\pi\)
\(678\) 25.5614 19.7127i 0.981680 0.757061i
\(679\) 3.79127 + 33.6406i 0.145495 + 1.29101i
\(680\) 0.0296195i 0.00113586i
\(681\) 28.8548 + 11.8701i 1.10572 + 0.454864i
\(682\) −8.34198 + 14.4487i −0.319431 + 0.553270i
\(683\) 7.64632 13.2438i 0.292578 0.506760i −0.681840 0.731501i \(-0.738820\pi\)
0.974419 + 0.224741i \(0.0721535\pi\)
\(684\) 0.707608 0.193288i 0.0270561 0.00739054i
\(685\) 15.5182i 0.592920i
\(686\) −12.0794 + 14.0388i −0.461195 + 0.536003i
\(687\) 19.8155 + 25.6947i 0.756007 + 0.980313i
\(688\) 0.620304 + 1.07440i 0.0236489 + 0.0409610i
\(689\) 15.6819 21.7762i 0.597433 0.829609i
\(690\) 5.42412 0.727490i 0.206493 0.0276951i
\(691\) −6.72191 11.6427i −0.255713 0.442909i 0.709376 0.704831i \(-0.248977\pi\)
−0.965089 + 0.261922i \(0.915644\pi\)
\(692\) −15.5942 −0.592803
\(693\) −29.1691 4.25113i −1.10804 0.161487i
\(694\) 0.504408i 0.0191471i
\(695\) −8.70919 15.0848i −0.330358 0.572197i
\(696\) −0.810333 6.04179i −0.0307156 0.229013i
\(697\) −0.0104549 0.00603612i −0.000396006 0.000228634i
\(698\) −11.2702 19.5206i −0.426585 0.738866i
\(699\) 27.0558 20.8651i 1.02334 0.789190i
\(700\) −7.79468 + 5.75304i −0.294611 + 0.217445i
\(701\) 44.2310i 1.67058i −0.549809 0.835290i \(-0.685300\pi\)
0.549809 0.835290i \(-0.314700\pi\)
\(702\) −12.7394 + 13.7371i −0.480819 + 0.518472i
\(703\) 2.02898 + 1.17143i 0.0765246 + 0.0441815i
\(704\) 1.85690 3.21624i 0.0699844 0.121216i
\(705\) 0.179222 0.435666i 0.00674988 0.0164081i
\(706\) 16.0120i 0.602619i
\(707\) 24.4197 + 10.6534i 0.918397 + 0.400664i
\(708\) −4.44132 + 3.42509i −0.166915 + 0.128723i
\(709\) 34.4905 19.9131i 1.29532 0.747852i 0.315726 0.948850i \(-0.397752\pi\)
0.979592 + 0.200998i \(0.0644185\pi\)
\(710\) −14.7032 8.48889i −0.551801 0.318582i
\(711\) 12.8435 + 12.7195i 0.481669 + 0.477017i
\(712\) −8.11911 + 4.68757i −0.304276 + 0.175674i
\(713\) 12.2698i 0.459509i
\(714\) −0.0285216 0.113809i −0.00106739 0.00425921i
\(715\) 15.4125 + 1.55443i 0.576396 + 0.0581325i
\(716\) −3.42830 + 1.97933i −0.128121 + 0.0739710i
\(717\) −34.5768 + 4.63748i −1.29129 + 0.173190i
\(718\) −7.67875 + 13.3000i −0.286569 + 0.496351i
\(719\) −13.8793 24.0396i −0.517609 0.896525i −0.999791 0.0204540i \(-0.993489\pi\)
0.482182 0.876071i \(-0.339845\pi\)
\(720\) −3.35666 0.881980i −0.125095 0.0328694i
\(721\) −16.0060 21.6862i −0.596095 0.807637i
\(722\) 18.9402 0.704882
\(723\) −14.6759 + 35.6752i −0.545801 + 1.32677i
\(724\) 0.371664 + 0.214580i 0.0138128 + 0.00797481i
\(725\) −11.1605 6.44355i −0.414492 0.239307i
\(726\) 1.83993 4.47264i 0.0682861 0.165995i
\(727\) 34.8578i 1.29281i −0.762996 0.646403i \(-0.776273\pi\)
0.762996 0.646403i \(-0.223727\pi\)
\(728\) −9.53874 + 0.111706i −0.353529 + 0.00414012i
\(729\) 18.8120 19.3678i 0.696739 0.717324i
\(730\) −1.57147 + 0.907290i −0.0581628 + 0.0335803i
\(731\) −0.0158818 + 0.0275081i −0.000587410 + 0.00101742i
\(732\) 2.72383 + 20.3087i 0.100676 + 0.750631i
\(733\) −17.9806 31.1434i −0.664130 1.15031i −0.979520 0.201345i \(-0.935469\pi\)
0.315390 0.948962i \(-0.397865\pi\)
\(734\) 31.1878i 1.15116i
\(735\) −8.92196 + 10.8229i −0.329091 + 0.399207i
\(736\) 2.73122i 0.100674i
\(737\) 23.1781 13.3819i 0.853775 0.492927i
\(738\) 0.995362 1.00507i 0.0366398 0.0369971i
\(739\) 23.0900 + 13.3310i 0.849378 + 0.490389i 0.860441 0.509550i \(-0.170188\pi\)
−0.0110630 + 0.999939i \(0.503522\pi\)
\(740\) −5.54247 9.59983i −0.203745 0.352897i
\(741\) 1.29664 0.806454i 0.0476331 0.0296258i
\(742\) −19.5678 + 2.20527i −0.718355 + 0.0809579i
\(743\) −24.5770 −0.901644 −0.450822 0.892614i \(-0.648869\pi\)
−0.450822 + 0.892614i \(0.648869\pi\)
\(744\) 2.96026 7.19602i 0.108528 0.263819i
\(745\) −9.46974 5.46736i −0.346944 0.200308i
\(746\) −2.30810 + 3.99775i −0.0845057 + 0.146368i
\(747\) 2.87956 + 10.5418i 0.105357 + 0.385704i
\(748\) 0.0950852 0.00347666
\(749\) 28.5599 + 38.6951i 1.04355 + 1.41389i
\(750\) −13.7436 + 10.5989i −0.501846 + 0.387018i
\(751\) −0.764556 1.32425i −0.0278990 0.0483226i 0.851739 0.523967i \(-0.175548\pi\)
−0.879638 + 0.475644i \(0.842215\pi\)
\(752\) −0.203606 0.117552i −0.00742475 0.00428668i
\(753\) 35.2886 4.73296i 1.28599 0.172479i
\(754\) −5.21002 11.5707i −0.189738 0.421381i
\(755\) 17.3388 0.631024
\(756\) 13.7468 + 0.156667i 0.499968 + 0.00569793i
\(757\) −20.0619 −0.729164 −0.364582 0.931171i \(-0.618788\pi\)
−0.364582 + 0.931171i \(0.618788\pi\)
\(758\) 3.05155 1.76181i 0.110837 0.0639919i
\(759\) −2.33540 17.4126i −0.0847698 0.632038i
\(760\) 0.244969 + 0.141433i 0.00888596 + 0.00513031i
\(761\) −19.1290 + 11.0442i −0.693427 + 0.400350i −0.804895 0.593418i \(-0.797778\pi\)
0.111468 + 0.993768i \(0.464445\pi\)
\(762\) −9.34026 12.1115i −0.338362 0.438754i
\(763\) 2.93941 6.73768i 0.106414 0.243920i
\(764\) 1.81779i 0.0657652i
\(765\) −0.0234145 0.0857182i −0.000846552 0.00309915i
\(766\) −1.24813 0.720607i −0.0450967 0.0260366i
\(767\) −6.82278 + 9.47426i −0.246356 + 0.342096i
\(768\) −0.658943 + 1.60181i −0.0237776 + 0.0578003i
\(769\) 33.5491 1.20981 0.604906 0.796297i \(-0.293211\pi\)
0.604906 + 0.796297i \(0.293211\pi\)
\(770\) −6.75024 9.14576i −0.243262 0.329590i
\(771\) 10.8070 + 14.0135i 0.389206 + 0.504683i
\(772\) 17.1426 9.89729i 0.616976 0.356211i
\(773\) 39.2647 + 22.6695i 1.41225 + 0.815365i 0.995601 0.0936997i \(-0.0298694\pi\)
0.416654 + 0.909065i \(0.363203\pi\)
\(774\) −2.64447 2.61893i −0.0950533 0.0941354i