Properties

Label 731.2.n.a.208.3
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.3
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.62

$q$-expansion

\(f(q)\) \(=\) \(q-2.67476i q^{2} +(-2.11059 - 0.565531i) q^{3} -5.15436 q^{4} +(2.13934 + 0.573235i) q^{5} +(-1.51266 + 5.64533i) q^{6} +(0.737688 - 0.197663i) q^{7} +8.43716i q^{8} +(1.53669 + 0.887206i) q^{9} +O(q^{10})\) \(q-2.67476i q^{2} +(-2.11059 - 0.565531i) q^{3} -5.15436 q^{4} +(2.13934 + 0.573235i) q^{5} +(-1.51266 + 5.64533i) q^{6} +(0.737688 - 0.197663i) q^{7} +8.43716i q^{8} +(1.53669 + 0.887206i) q^{9} +(1.53327 - 5.72224i) q^{10} +(4.20765 + 4.20765i) q^{11} +(10.8787 + 2.91495i) q^{12} +(2.31304 - 4.00631i) q^{13} +(-0.528701 - 1.97314i) q^{14} +(-4.19109 - 2.41973i) q^{15} +12.2587 q^{16} +(1.61094 + 3.79538i) q^{17} +(2.37307 - 4.11027i) q^{18} +(3.64127 - 2.10229i) q^{19} +(-11.0269 - 2.95466i) q^{20} -1.66874 q^{21} +(11.2545 - 11.2545i) q^{22} +(-1.79603 + 6.70287i) q^{23} +(4.77147 - 17.8074i) q^{24} +(-0.0819346 - 0.0473049i) q^{25} +(-10.7159 - 6.18684i) q^{26} +(1.89361 + 1.89361i) q^{27} +(-3.80231 + 1.01883i) q^{28} +(-0.860862 - 3.21278i) q^{29} +(-6.47220 + 11.2102i) q^{30} +(3.46139 + 0.927476i) q^{31} -15.9148i q^{32} +(-6.50106 - 11.2602i) q^{33} +(10.1517 - 4.30887i) q^{34} +1.69148 q^{35} +(-7.92063 - 4.57298i) q^{36} +(-5.62546 - 1.50734i) q^{37} +(-5.62313 - 9.73954i) q^{38} +(-7.14757 + 7.14757i) q^{39} +(-4.83648 + 18.0500i) q^{40} +(7.28041 + 7.28041i) q^{41} +4.46349i q^{42} +(2.18587 - 6.18239i) q^{43} +(-21.6877 - 21.6877i) q^{44} +(2.77892 + 2.77892i) q^{45} +(17.9286 + 4.80395i) q^{46} +3.34796 q^{47} +(-25.8731 - 6.93267i) q^{48} +(-5.55707 + 3.20837i) q^{49} +(-0.126530 + 0.219156i) q^{50} +(-1.25362 - 8.92152i) q^{51} +(-11.9222 + 20.6499i) q^{52} +(3.31602 - 1.91451i) q^{53} +(5.06495 - 5.06495i) q^{54} +(6.58963 + 11.4136i) q^{55} +(1.66771 + 6.22399i) q^{56} +(-8.87414 + 2.37782i) q^{57} +(-8.59342 + 2.30260i) q^{58} +2.62780i q^{59} +(21.6024 + 12.4722i) q^{60} +(-8.13243 + 2.17908i) q^{61} +(2.48078 - 9.25839i) q^{62} +(1.30896 + 0.350735i) q^{63} -18.0509 q^{64} +(7.24495 - 7.24495i) q^{65} +(-30.1183 + 17.3888i) q^{66} +(-1.09504 - 1.89667i) q^{67} +(-8.30334 - 19.5627i) q^{68} +(7.58135 - 13.1313i) q^{69} -4.52430i q^{70} +(2.02816 + 7.56919i) q^{71} +(-7.48550 + 12.9653i) q^{72} +(-0.0701783 - 0.261909i) q^{73} +(-4.03177 + 15.0468i) q^{74} +(0.146178 + 0.146178i) q^{75} +(-18.7684 + 10.8360i) q^{76} +(3.93563 + 2.27224i) q^{77} +(19.1181 + 19.1181i) q^{78} +(4.92133 - 1.31867i) q^{79} +(26.2256 + 7.02712i) q^{80} +(-5.58735 - 9.67757i) q^{81} +(19.4734 - 19.4734i) q^{82} +(9.48994 - 5.47902i) q^{83} +8.60129 q^{84} +(1.27070 + 9.04306i) q^{85} +(-16.5364 - 5.84668i) q^{86} +7.26770i q^{87} +(-35.5006 + 35.5006i) q^{88} +(-8.82669 - 15.2883i) q^{89} +(7.43296 - 7.43296i) q^{90} +(0.914405 - 3.41261i) q^{91} +(9.25737 - 34.5490i) q^{92} +(-6.78105 - 3.91504i) q^{93} -8.95499i q^{94} +(8.99504 - 2.41021i) q^{95} +(-9.00030 + 33.5896i) q^{96} +(6.04978 - 6.04978i) q^{97} +(8.58164 + 14.8638i) q^{98} +(2.73278 + 10.1989i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.67476i 1.89134i −0.325123 0.945672i \(-0.605406\pi\)
0.325123 0.945672i \(-0.394594\pi\)
\(3\) −2.11059 0.565531i −1.21855 0.326509i −0.408438 0.912786i \(-0.633927\pi\)
−0.810111 + 0.586277i \(0.800593\pi\)
\(4\) −5.15436 −2.57718
\(5\) 2.13934 + 0.573235i 0.956744 + 0.256359i 0.703221 0.710971i \(-0.251744\pi\)
0.253522 + 0.967330i \(0.418411\pi\)
\(6\) −1.51266 + 5.64533i −0.617541 + 2.30469i
\(7\) 0.737688 0.197663i 0.278820 0.0747095i −0.116699 0.993167i \(-0.537231\pi\)
0.395519 + 0.918458i \(0.370565\pi\)
\(8\) 8.43716i 2.98299i
\(9\) 1.53669 + 0.887206i 0.512229 + 0.295735i
\(10\) 1.53327 5.72224i 0.484862 1.80953i
\(11\) 4.20765 + 4.20765i 1.26865 + 1.26865i 0.946784 + 0.321870i \(0.104311\pi\)
0.321870 + 0.946784i \(0.395689\pi\)
\(12\) 10.8787 + 2.91495i 3.14042 + 0.841473i
\(13\) 2.31304 4.00631i 0.641522 1.11115i −0.343571 0.939127i \(-0.611636\pi\)
0.985093 0.172023i \(-0.0550302\pi\)
\(14\) −0.528701 1.97314i −0.141301 0.527344i
\(15\) −4.19109 2.41973i −1.08214 0.624771i
\(16\) 12.2587 3.06467
\(17\) 1.61094 + 3.79538i 0.390709 + 0.920514i
\(18\) 2.37307 4.11027i 0.559337 0.968800i
\(19\) 3.64127 2.10229i 0.835365 0.482298i −0.0203209 0.999794i \(-0.506469\pi\)
0.855686 + 0.517495i \(0.173135\pi\)
\(20\) −11.0269 2.95466i −2.46570 0.660682i
\(21\) −1.66874 −0.364149
\(22\) 11.2545 11.2545i 2.39946 2.39946i
\(23\) −1.79603 + 6.70287i −0.374498 + 1.39764i 0.479580 + 0.877498i \(0.340789\pi\)
−0.854077 + 0.520146i \(0.825878\pi\)
\(24\) 4.77147 17.8074i 0.973973 3.63492i
\(25\) −0.0819346 0.0473049i −0.0163869 0.00946099i
\(26\) −10.7159 6.18684i −2.10156 1.21334i
\(27\) 1.89361 + 1.89361i 0.364424 + 0.364424i
\(28\) −3.80231 + 1.01883i −0.718569 + 0.192540i
\(29\) −0.860862 3.21278i −0.159858 0.596598i −0.998640 0.0521311i \(-0.983399\pi\)
0.838782 0.544467i \(-0.183268\pi\)
\(30\) −6.47220 + 11.2102i −1.18166 + 2.04669i
\(31\) 3.46139 + 0.927476i 0.621683 + 0.166580i 0.555893 0.831254i \(-0.312376\pi\)
0.0657904 + 0.997833i \(0.479043\pi\)
\(32\) 15.9148i 2.81336i
\(33\) −6.50106 11.2602i −1.13169 1.96014i
\(34\) 10.1517 4.30887i 1.74101 0.738965i
\(35\) 1.69148 0.285912
\(36\) −7.92063 4.57298i −1.32011 0.762163i
\(37\) −5.62546 1.50734i −0.924819 0.247805i −0.235175 0.971953i \(-0.575566\pi\)
−0.689644 + 0.724148i \(0.742233\pi\)
\(38\) −5.62313 9.73954i −0.912192 1.57996i
\(39\) −7.14757 + 7.14757i −1.14453 + 1.14453i
\(40\) −4.83648 + 18.0500i −0.764715 + 2.85395i
\(41\) 7.28041 + 7.28041i 1.13701 + 1.13701i 0.988984 + 0.148025i \(0.0472915\pi\)
0.148025 + 0.988984i \(0.452708\pi\)
\(42\) 4.46349i 0.688731i
\(43\) 2.18587 6.18239i 0.333342 0.942806i
\(44\) −21.6877 21.6877i −3.26955 3.26955i
\(45\) 2.77892 + 2.77892i 0.414257 + 0.414257i
\(46\) 17.9286 + 4.80395i 2.64342 + 0.708304i
\(47\) 3.34796 0.488350 0.244175 0.969731i \(-0.421483\pi\)
0.244175 + 0.969731i \(0.421483\pi\)
\(48\) −25.8731 6.93267i −3.73446 1.00064i
\(49\) −5.55707 + 3.20837i −0.793866 + 0.458339i
\(50\) −0.126530 + 0.219156i −0.0178940 + 0.0309933i
\(51\) −1.25362 8.92152i −0.175542 1.24926i
\(52\) −11.9222 + 20.6499i −1.65332 + 2.86363i
\(53\) 3.31602 1.91451i 0.455490 0.262978i −0.254656 0.967032i \(-0.581962\pi\)
0.710146 + 0.704054i \(0.248629\pi\)
\(54\) 5.06495 5.06495i 0.689252 0.689252i
\(55\) 6.58963 + 11.4136i 0.888546 + 1.53901i
\(56\) 1.66771 + 6.22399i 0.222858 + 0.831716i
\(57\) −8.87414 + 2.37782i −1.17541 + 0.314950i
\(58\) −8.59342 + 2.30260i −1.12837 + 0.302346i
\(59\) 2.62780i 0.342111i 0.985261 + 0.171055i \(0.0547177\pi\)
−0.985261 + 0.171055i \(0.945282\pi\)
\(60\) 21.6024 + 12.4722i 2.78886 + 1.61015i
\(61\) −8.13243 + 2.17908i −1.04125 + 0.279002i −0.738632 0.674109i \(-0.764528\pi\)
−0.302619 + 0.953111i \(0.597861\pi\)
\(62\) 2.48078 9.25839i 0.315059 1.17582i
\(63\) 1.30896 + 0.350735i 0.164914 + 0.0441885i
\(64\) −18.0509 −2.25636
\(65\) 7.24495 7.24495i 0.898625 0.898625i
\(66\) −30.1183 + 17.3888i −3.70731 + 2.14041i
\(67\) −1.09504 1.89667i −0.133781 0.231715i 0.791350 0.611363i \(-0.209378\pi\)
−0.925131 + 0.379648i \(0.876045\pi\)
\(68\) −8.30334 19.5627i −1.00693 2.37233i
\(69\) 7.58135 13.1313i 0.912688 1.58082i
\(70\) 4.52430i 0.540757i
\(71\) 2.02816 + 7.56919i 0.240698 + 0.898297i 0.975497 + 0.220012i \(0.0706098\pi\)
−0.734799 + 0.678285i \(0.762724\pi\)
\(72\) −7.48550 + 12.9653i −0.882175 + 1.52797i
\(73\) −0.0701783 0.261909i −0.00821375 0.0306541i 0.961697 0.274114i \(-0.0883844\pi\)
−0.969911 + 0.243459i \(0.921718\pi\)
\(74\) −4.03177 + 15.0468i −0.468684 + 1.74915i
\(75\) 0.146178 + 0.146178i 0.0168792 + 0.0168792i
\(76\) −18.7684 + 10.8360i −2.15289 + 1.24297i
\(77\) 3.93563 + 2.27224i 0.448506 + 0.258945i
\(78\) 19.1181 + 19.1181i 2.16469 + 2.16469i
\(79\) 4.92133 1.31867i 0.553693 0.148362i 0.0288859 0.999583i \(-0.490804\pi\)
0.524807 + 0.851221i \(0.324137\pi\)
\(80\) 26.2256 + 7.02712i 2.93211 + 0.785656i
\(81\) −5.58735 9.67757i −0.620817 1.07529i
\(82\) 19.4734 19.4734i 2.15047 2.15047i
\(83\) 9.48994 5.47902i 1.04166 0.601400i 0.121354 0.992609i \(-0.461276\pi\)
0.920302 + 0.391209i \(0.127943\pi\)
\(84\) 8.60129 0.938477
\(85\) 1.27070 + 9.04306i 0.137827 + 0.980858i
\(86\) −16.5364 5.84668i −1.78317 0.630463i
\(87\) 7.26770i 0.779179i
\(88\) −35.5006 + 35.5006i −3.78438 + 3.78438i
\(89\) −8.82669 15.2883i −0.935627 1.62055i −0.773511 0.633782i \(-0.781501\pi\)
−0.162116 0.986772i \(-0.551832\pi\)
\(90\) 7.43296 7.43296i 0.783502 0.783502i
\(91\) 0.914405 3.41261i 0.0958557 0.357738i
\(92\) 9.25737 34.5490i 0.965147 3.60198i
\(93\) −6.78105 3.91504i −0.703162 0.405971i
\(94\) 8.95499i 0.923637i
\(95\) 8.99504 2.41021i 0.922872 0.247283i
\(96\) −9.00030 + 33.5896i −0.918589 + 3.42822i
\(97\) 6.04978 6.04978i 0.614262 0.614262i −0.329791 0.944054i \(-0.606978\pi\)
0.944054 + 0.329791i \(0.106978\pi\)
\(98\) 8.58164 + 14.8638i 0.866876 + 1.50147i
\(99\) 2.73278 + 10.1989i 0.274655 + 1.02503i
\(100\) 0.422320 + 0.243827i 0.0422320 + 0.0243827i
\(101\) 6.00112 10.3942i 0.597134 1.03427i −0.396108 0.918204i \(-0.629640\pi\)
0.993242 0.116062i \(-0.0370271\pi\)
\(102\) −23.8629 + 3.35314i −2.36278 + 0.332010i
\(103\) 6.27549 10.8695i 0.618343 1.07100i −0.371446 0.928455i \(-0.621138\pi\)
0.989788 0.142546i \(-0.0455289\pi\)
\(104\) 33.8019 + 19.5155i 3.31454 + 1.91365i
\(105\) −3.57001 0.956581i −0.348397 0.0933528i
\(106\) −5.12085 8.86957i −0.497381 0.861489i
\(107\) 4.86252 4.86252i 0.470077 0.470077i −0.431862 0.901940i \(-0.642143\pi\)
0.901940 + 0.431862i \(0.142143\pi\)
\(108\) −9.76032 9.76032i −0.939187 0.939187i
\(109\) −2.01588 + 7.52337i −0.193086 + 0.720608i 0.799668 + 0.600443i \(0.205009\pi\)
−0.992754 + 0.120165i \(0.961658\pi\)
\(110\) 30.5286 17.6257i 2.91079 1.68055i
\(111\) 11.0206 + 6.36274i 1.04603 + 0.603924i
\(112\) 9.04309 2.42309i 0.854492 0.228960i
\(113\) −0.329473 0.329473i −0.0309942 0.0309942i 0.691440 0.722434i \(-0.256977\pi\)
−0.722434 + 0.691440i \(0.756977\pi\)
\(114\) 6.36010 + 23.7362i 0.595678 + 2.22310i
\(115\) −7.68464 + 13.3102i −0.716596 + 1.24118i
\(116\) 4.43719 + 16.5598i 0.411983 + 1.53754i
\(117\) 7.10884 4.10429i 0.657212 0.379442i
\(118\) 7.02875 0.647049
\(119\) 1.93857 + 2.48138i 0.177709 + 0.227468i
\(120\) 20.4156 35.3609i 1.86368 3.22800i
\(121\) 24.4086i 2.21897i
\(122\) 5.82852 + 21.7523i 0.527689 + 1.96936i
\(123\) −11.2487 19.4832i −1.01426 1.75674i
\(124\) −17.8412 4.78054i −1.60219 0.429305i
\(125\) −7.97871 7.97871i −0.713638 0.713638i
\(126\) 0.938134 3.50116i 0.0835756 0.311909i
\(127\) 6.67518i 0.592327i −0.955137 0.296163i \(-0.904293\pi\)
0.955137 0.296163i \(-0.0957073\pi\)
\(128\) 16.4523i 1.45419i
\(129\) −8.10980 + 11.8123i −0.714028 + 1.04002i
\(130\) −19.3785 19.3785i −1.69961 1.69961i
\(131\) −15.3696 + 15.3696i −1.34285 + 1.34285i −0.449632 + 0.893214i \(0.648445\pi\)
−0.893214 + 0.449632i \(0.851555\pi\)
\(132\) 33.5088 + 58.0390i 2.91657 + 5.05164i
\(133\) 2.27058 2.27058i 0.196884 0.196884i
\(134\) −5.07314 + 2.92898i −0.438252 + 0.253025i
\(135\) 2.96559 + 5.13655i 0.255237 + 0.442084i
\(136\) −32.0222 + 13.5917i −2.74588 + 1.16548i
\(137\) −10.1612 −0.868131 −0.434065 0.900881i \(-0.642921\pi\)
−0.434065 + 0.900881i \(0.642921\pi\)
\(138\) −35.1231 20.2783i −2.98988 1.72621i
\(139\) 15.8927 + 4.25843i 1.34800 + 0.361195i 0.859396 0.511311i \(-0.170840\pi\)
0.488603 + 0.872506i \(0.337507\pi\)
\(140\) −8.71847 −0.736845
\(141\) −7.06616 1.89337i −0.595078 0.159451i
\(142\) 20.2458 5.42484i 1.69899 0.455243i
\(143\) 26.5896 7.12466i 2.22353 0.595794i
\(144\) 18.8378 + 10.8760i 1.56981 + 0.906332i
\(145\) 7.36672i 0.611772i
\(146\) −0.700545 + 0.187710i −0.0579775 + 0.0155350i
\(147\) 13.5431 3.62887i 1.11702 0.299304i
\(148\) 28.9956 + 7.76935i 2.38343 + 0.638637i
\(149\) 6.39101 + 11.0696i 0.523572 + 0.906853i 0.999624 + 0.0274359i \(0.00873423\pi\)
−0.476052 + 0.879417i \(0.657932\pi\)
\(150\) 0.390991 0.390991i 0.0319243 0.0319243i
\(151\) 4.65503i 0.378821i 0.981898 + 0.189410i \(0.0606577\pi\)
−0.981898 + 0.189410i \(0.939342\pi\)
\(152\) 17.7374 + 30.7220i 1.43869 + 2.49188i
\(153\) −0.891779 + 7.26153i −0.0720961 + 0.587060i
\(154\) 6.07769 10.5269i 0.489754 0.848280i
\(155\) 6.87343 + 3.96838i 0.552087 + 0.318748i
\(156\) 36.8411 36.8411i 2.94965 2.94965i
\(157\) −1.77230 + 3.06972i −0.141445 + 0.244990i −0.928041 0.372478i \(-0.878508\pi\)
0.786596 + 0.617468i \(0.211842\pi\)
\(158\) −3.52712 13.1634i −0.280603 1.04722i
\(159\) −8.08147 + 2.16542i −0.640902 + 0.171729i
\(160\) 9.12292 34.0472i 0.721230 2.69167i
\(161\) 5.29963i 0.417669i
\(162\) −25.8852 + 14.9448i −2.03373 + 1.17418i
\(163\) 2.64985 0.710024i 0.207552 0.0556134i −0.153545 0.988142i \(-0.549069\pi\)
0.361097 + 0.932528i \(0.382402\pi\)
\(164\) −37.5258 37.5258i −2.93027 2.93027i
\(165\) −7.45328 27.8160i −0.580237 2.16547i
\(166\) −14.6551 25.3833i −1.13745 1.97013i
\(167\) −7.77708 2.08386i −0.601809 0.161254i −0.0549643 0.998488i \(-0.517504\pi\)
−0.546845 + 0.837234i \(0.684171\pi\)
\(168\) 14.0794i 1.08625i
\(169\) −4.20033 7.27518i −0.323102 0.559629i
\(170\) 24.1880 3.39882i 1.85514 0.260678i
\(171\) 7.46066 0.570531
\(172\) −11.2667 + 31.8663i −0.859081 + 2.42978i
\(173\) 4.78034 4.78034i 0.363442 0.363442i −0.501636 0.865079i \(-0.667268\pi\)
0.865079 + 0.501636i \(0.167268\pi\)
\(174\) 19.4394 1.47370
\(175\) −0.0697926 0.0187009i −0.00527582 0.00141365i
\(176\) 51.5803 + 51.5803i 3.88801 + 3.88801i
\(177\) 1.48610 5.54621i 0.111702 0.416879i
\(178\) −40.8925 + 23.6093i −3.06502 + 1.76959i
\(179\) −7.61387 4.39587i −0.569087 0.328563i 0.187698 0.982227i \(-0.439898\pi\)
−0.756785 + 0.653664i \(0.773231\pi\)
\(180\) −14.3236 14.3236i −1.06761 1.06761i
\(181\) 12.4748 3.34260i 0.927242 0.248454i 0.236564 0.971616i \(-0.423979\pi\)
0.690678 + 0.723162i \(0.257312\pi\)
\(182\) −9.12791 2.44582i −0.676606 0.181296i
\(183\) 18.3966 1.35991
\(184\) −56.5532 15.1534i −4.16915 1.11712i
\(185\) −11.1707 6.44942i −0.821288 0.474171i
\(186\) −10.4718 + 18.1377i −0.767830 + 1.32992i
\(187\) −9.19136 + 22.7479i −0.672139 + 1.66349i
\(188\) −17.2566 −1.25856
\(189\) 1.77119 + 1.02259i 0.128835 + 0.0743828i
\(190\) −6.44675 24.0596i −0.467697 1.74547i
\(191\) 9.70094 + 16.8025i 0.701935 + 1.21579i 0.967786 + 0.251773i \(0.0810138\pi\)
−0.265851 + 0.964014i \(0.585653\pi\)
\(192\) 38.0980 + 10.2083i 2.74949 + 0.736723i
\(193\) −6.33852 6.33852i −0.456257 0.456257i 0.441168 0.897425i \(-0.354564\pi\)
−0.897425 + 0.441168i \(0.854564\pi\)
\(194\) −16.1817 16.1817i −1.16178 1.16178i
\(195\) −19.3883 + 11.1939i −1.38843 + 0.801610i
\(196\) 28.6431 16.5371i 2.04594 1.18122i
\(197\) 12.3569 3.31101i 0.880391 0.235900i 0.209815 0.977741i \(-0.432714\pi\)
0.670576 + 0.741841i \(0.266047\pi\)
\(198\) 27.2796 7.30955i 1.93868 0.519467i
\(199\) 5.38622 5.38622i 0.381819 0.381819i −0.489938 0.871757i \(-0.662981\pi\)
0.871757 + 0.489938i \(0.162981\pi\)
\(200\) 0.399119 0.691295i 0.0282220 0.0488820i
\(201\) 1.23856 + 4.62237i 0.0873613 + 0.326037i
\(202\) −27.8021 16.0516i −1.95615 1.12938i
\(203\) −1.27009 2.19987i −0.0891432 0.154400i
\(204\) 6.46162 + 45.9847i 0.452404 + 3.21957i
\(205\) 11.4019 + 19.7487i 0.796343 + 1.37931i
\(206\) −29.0733 16.7855i −2.02563 1.16950i
\(207\) −8.70675 + 8.70675i −0.605161 + 0.605161i
\(208\) 28.3549 49.1121i 1.96606 3.40531i
\(209\) 24.1669 + 6.47550i 1.67166 + 0.447920i
\(210\) −2.55863 + 9.54893i −0.176562 + 0.658939i
\(211\) −14.2548 14.2548i −0.981343 0.981343i 0.0184858 0.999829i \(-0.494115\pi\)
−0.999829 + 0.0184858i \(0.994115\pi\)
\(212\) −17.0920 + 9.86805i −1.17388 + 0.677740i
\(213\) 17.1224i 1.17321i
\(214\) −13.0061 13.0061i −0.889077 0.889077i
\(215\) 8.22029 11.9732i 0.560619 0.816569i
\(216\) −15.9767 + 15.9767i −1.08707 + 1.08707i
\(217\) 2.73675 0.185783
\(218\) 20.1232 + 5.39200i 1.36292 + 0.365193i
\(219\) 0.592470i 0.0400354i
\(220\) −33.9653 58.8297i −2.28994 3.96630i
\(221\) 18.9316 + 2.32496i 1.27348 + 0.156394i
\(222\) 17.0188 29.4774i 1.14223 1.97840i
\(223\) 12.8830i 0.862709i 0.902182 + 0.431355i \(0.141964\pi\)
−0.902182 + 0.431355i \(0.858036\pi\)
\(224\) −3.14576 11.7401i −0.210185 0.784421i
\(225\) −0.0839385 0.145386i −0.00559590 0.00969238i
\(226\) −0.881262 + 0.881262i −0.0586206 + 0.0586206i
\(227\) −0.114873 + 0.428713i −0.00762440 + 0.0284547i −0.969633 0.244564i \(-0.921355\pi\)
0.962009 + 0.273018i \(0.0880220\pi\)
\(228\) 45.7405 12.2561i 3.02924 0.811682i
\(229\) −1.43458 0.828255i −0.0947997 0.0547326i 0.451851 0.892094i \(-0.350764\pi\)
−0.546650 + 0.837361i \(0.684097\pi\)
\(230\) 35.6016 + 20.5546i 2.34750 + 1.35533i
\(231\) −7.02147 7.02147i −0.461979 0.461979i
\(232\) 27.1067 7.26323i 1.77964 0.476854i
\(233\) 2.58046 + 9.63040i 0.169051 + 0.630909i 0.997489 + 0.0708267i \(0.0225637\pi\)
−0.828437 + 0.560082i \(0.810770\pi\)
\(234\) −10.9780 19.0145i −0.717654 1.24301i
\(235\) 7.16243 + 1.91917i 0.467225 + 0.125193i
\(236\) 13.5446i 0.881681i
\(237\) −11.1327 −0.723144
\(238\) 6.63711 5.18522i 0.430220 0.336108i
\(239\) 7.19121 + 12.4555i 0.465160 + 0.805682i 0.999209 0.0397724i \(-0.0126633\pi\)
−0.534048 + 0.845454i \(0.679330\pi\)
\(240\) −51.3773 29.6627i −3.31639 1.91472i
\(241\) −3.97275 14.8265i −0.255907 0.955059i −0.967583 0.252551i \(-0.918730\pi\)
0.711676 0.702508i \(-0.247936\pi\)
\(242\) 65.2873 4.19682
\(243\) 4.24031 + 15.8251i 0.272016 + 1.01518i
\(244\) 41.9175 11.2318i 2.68349 0.719039i
\(245\) −13.7276 + 3.67831i −0.877026 + 0.234998i
\(246\) −52.1131 + 30.0875i −3.32261 + 1.91831i
\(247\) 19.4507i 1.23762i
\(248\) −7.82526 + 29.2043i −0.496905 + 1.85447i
\(249\) −23.1279 + 6.19710i −1.46567 + 0.392726i
\(250\) −21.3412 + 21.3412i −1.34973 + 1.34973i
\(251\) −10.3482 + 17.9235i −0.653170 + 1.13132i 0.329180 + 0.944267i \(0.393228\pi\)
−0.982349 + 0.187056i \(0.940105\pi\)
\(252\) −6.74686 1.80782i −0.425012 0.113882i
\(253\) −35.7604 + 20.6463i −2.24823 + 1.29802i
\(254\) −17.8545 −1.12029
\(255\) 2.43220 19.8048i 0.152310 1.24023i
\(256\) 7.90418 0.494011
\(257\) 9.26127i 0.577702i −0.957374 0.288851i \(-0.906727\pi\)
0.957374 0.288851i \(-0.0932732\pi\)
\(258\) 31.5952 + 21.6918i 1.96703 + 1.35047i
\(259\) −4.44778 −0.276371
\(260\) −37.3431 + 37.3431i −2.31592 + 2.31592i
\(261\) 1.52752 5.70079i 0.0945513 0.352870i
\(262\) 41.1100 + 41.1100i 2.53978 + 2.53978i
\(263\) 6.90215 3.98496i 0.425605 0.245723i −0.271868 0.962335i \(-0.587641\pi\)
0.697472 + 0.716612i \(0.254308\pi\)
\(264\) 95.0039 54.8505i 5.84709 3.37582i
\(265\) 8.19157 2.19492i 0.503204 0.134833i
\(266\) −6.07326 6.07326i −0.372375 0.372375i
\(267\) 9.98353 + 37.2590i 0.610982 + 2.28022i
\(268\) 5.64424 + 9.77611i 0.344777 + 0.597171i
\(269\) −18.7851 + 18.7851i −1.14535 + 1.14535i −0.157891 + 0.987456i \(0.550470\pi\)
−0.987456 + 0.157891i \(0.949530\pi\)
\(270\) 13.7391 7.93225i 0.836133 0.482742i
\(271\) −12.8013 + 22.1724i −0.777621 + 1.34688i 0.155689 + 0.987806i \(0.450240\pi\)
−0.933310 + 0.359073i \(0.883093\pi\)
\(272\) 19.7480 + 46.5264i 1.19740 + 2.82108i
\(273\) −3.85987 + 6.68549i −0.233610 + 0.404624i
\(274\) 27.1788i 1.64193i
\(275\) −0.145709 0.543794i −0.00878660 0.0327920i
\(276\) −39.0770 + 67.6834i −2.35216 + 4.07406i
\(277\) 14.7367 + 3.94870i 0.885445 + 0.237254i 0.672755 0.739865i \(-0.265111\pi\)
0.212690 + 0.977120i \(0.431777\pi\)
\(278\) 11.3903 42.5091i 0.683144 2.54953i
\(279\) 4.49620 + 4.49620i 0.269181 + 0.269181i
\(280\) 14.2713i 0.852870i
\(281\) 0.959298 0.553851i 0.0572269 0.0330400i −0.471114 0.882073i \(-0.656148\pi\)
0.528340 + 0.849033i \(0.322814\pi\)
\(282\) −5.06432 + 18.9003i −0.301576 + 1.12550i
\(283\) −31.9662 + 8.56531i −1.90019 + 0.509155i −0.903431 + 0.428734i \(0.858960\pi\)
−0.996761 + 0.0804207i \(0.974374\pi\)
\(284\) −10.4539 39.0143i −0.620322 2.31507i
\(285\) −20.3479 −1.20530
\(286\) −19.0568 71.1209i −1.12685 4.20547i
\(287\) 6.80973 + 3.93160i 0.401966 + 0.232075i
\(288\) 14.1197 24.4560i 0.832011 1.44108i
\(289\) −11.8098 + 12.2282i −0.694692 + 0.719307i
\(290\) −19.7042 −1.15707
\(291\) −16.1899 + 9.34727i −0.949071 + 0.547947i
\(292\) 0.361724 + 1.34997i 0.0211683 + 0.0790012i
\(293\) 8.09992 0.473202 0.236601 0.971607i \(-0.423967\pi\)
0.236601 + 0.971607i \(0.423967\pi\)
\(294\) −9.70636 36.2246i −0.566086 2.11266i
\(295\) −1.50635 + 5.62178i −0.0877031 + 0.327312i
\(296\) 12.7176 47.4629i 0.739198 2.75872i
\(297\) 15.9353i 0.924657i
\(298\) 29.6084 17.0944i 1.71517 0.990254i
\(299\) 22.6994 + 22.6994i 1.31274 + 1.31274i
\(300\) −0.753453 0.753453i −0.0435006 0.0435006i
\(301\) 0.390458 4.99274i 0.0225056 0.287777i
\(302\) 12.4511 0.716480
\(303\) −18.5442 + 18.5442i −1.06533 + 1.06533i
\(304\) 44.6373 25.7713i 2.56012 1.47809i
\(305\) −18.6472 −1.06774
\(306\) 19.4229 + 2.38530i 1.11033 + 0.136358i
\(307\) 13.2167 + 22.8920i 0.754317 + 1.30652i 0.945713 + 0.325003i \(0.105365\pi\)
−0.191396 + 0.981513i \(0.561302\pi\)
\(308\) −20.2856 11.7119i −1.15588 0.667348i
\(309\) −19.3920 + 19.3920i −1.10317 + 1.10317i
\(310\) 10.6145 18.3848i 0.602861 1.04419i
\(311\) −2.14386 0.574446i −0.121567 0.0325739i 0.197522 0.980298i \(-0.436710\pi\)
−0.319090 + 0.947724i \(0.603377\pi\)
\(312\) −60.3052 60.3052i −3.41411 3.41411i
\(313\) −0.892434 + 3.33061i −0.0504434 + 0.188257i −0.986550 0.163459i \(-0.947735\pi\)
0.936107 + 0.351716i \(0.114402\pi\)
\(314\) 8.21078 + 4.74049i 0.463361 + 0.267522i
\(315\) 2.59927 + 1.50069i 0.146452 + 0.0845541i
\(316\) −25.3663 + 6.79688i −1.42697 + 0.382355i
\(317\) −23.1870 23.1870i −1.30231 1.30231i −0.926831 0.375480i \(-0.877478\pi\)
−0.375480 0.926831i \(-0.622522\pi\)
\(318\) 5.79199 + 21.6160i 0.324799 + 1.21217i
\(319\) 9.89604 17.1405i 0.554072 0.959681i
\(320\) −38.6170 10.3474i −2.15876 0.578438i
\(321\) −13.0127 + 7.51287i −0.726297 + 0.419328i
\(322\) 14.1753 0.789956
\(323\) 13.8448 + 10.4333i 0.770347 + 0.580527i
\(324\) 28.7992 + 49.8817i 1.59996 + 2.77120i
\(325\) −0.379036 + 0.218837i −0.0210251 + 0.0121389i
\(326\) −1.89915 7.08771i −0.105184 0.392552i
\(327\) 8.50939 14.7387i 0.470571 0.815052i
\(328\) −61.4260 + 61.4260i −3.39168 + 3.39168i
\(329\) 2.46975 0.661767i 0.136162 0.0364844i
\(330\) −74.4013 + 19.9358i −4.09565 + 1.09743i
\(331\) 6.61757 + 3.82066i 0.363735 + 0.210002i 0.670718 0.741713i \(-0.265986\pi\)
−0.306983 + 0.951715i \(0.599319\pi\)
\(332\) −48.9145 + 28.2408i −2.68453 + 1.54992i
\(333\) −7.30724 7.30724i −0.400434 0.400434i
\(334\) −5.57384 + 20.8019i −0.304987 + 1.13823i
\(335\) −1.25543 4.68534i −0.0685917 0.255988i
\(336\) −20.4566 −1.11600
\(337\) 0.203233 + 0.758476i 0.0110708 + 0.0413168i 0.971240 0.238101i \(-0.0765251\pi\)
−0.960169 + 0.279418i \(0.909858\pi\)
\(338\) −19.4594 + 11.2349i −1.05845 + 0.611097i
\(339\) 0.509055 + 0.881709i 0.0276481 + 0.0478878i
\(340\) −6.54965 46.6112i −0.355205 2.52785i
\(341\) 10.6618 + 18.4668i 0.577369 + 1.00003i
\(342\) 19.9555i 1.07907i
\(343\) −7.24538 + 7.24538i −0.391214 + 0.391214i
\(344\) 52.1619 + 18.4425i 2.81238 + 0.994354i
\(345\) 23.7464 23.7464i 1.27847 1.27847i
\(346\) −12.7863 12.7863i −0.687394 0.687394i
\(347\) 8.11157 30.2728i 0.435452 1.62513i −0.304531 0.952502i \(-0.598500\pi\)
0.739983 0.672625i \(-0.234833\pi\)
\(348\) 37.4603i 2.00808i
\(349\) −0.390111 + 0.225231i −0.0208822 + 0.0120563i −0.510405 0.859934i \(-0.670504\pi\)
0.489523 + 0.871991i \(0.337171\pi\)
\(350\) −0.0500204 + 0.186679i −0.00267370 + 0.00997839i
\(351\) 11.9663 3.20637i 0.638716 0.171144i
\(352\) 66.9638 66.9638i 3.56918 3.56918i
\(353\) 5.72111 9.90926i 0.304504 0.527417i −0.672647 0.739964i \(-0.734843\pi\)
0.977151 + 0.212547i \(0.0681759\pi\)
\(354\) −14.8348 3.97498i −0.788461 0.211268i
\(355\) 17.3557i 0.921145i
\(356\) 45.4959 + 78.8013i 2.41128 + 4.17646i
\(357\) −2.68823 6.33350i −0.142276 0.335204i
\(358\) −11.7579 + 20.3653i −0.621425 + 1.07634i
\(359\) −24.4774 14.1320i −1.29187 0.745859i −0.312881 0.949792i \(-0.601294\pi\)
−0.978985 + 0.203933i \(0.934627\pi\)
\(360\) −23.4462 + 23.4462i −1.23572 + 1.23572i
\(361\) −0.660754 + 1.14446i −0.0347765 + 0.0602347i
\(362\) −8.94067 33.3670i −0.469911 1.75373i
\(363\) 13.8038 51.5166i 0.724513 2.70392i
\(364\) −4.71317 + 17.5898i −0.247037 + 0.921956i
\(365\) 0.600542i 0.0314338i
\(366\) 49.2064i 2.57206i
\(367\) 0.679296 2.53517i 0.0354590 0.132335i −0.945927 0.324378i \(-0.894845\pi\)
0.981386 + 0.192044i \(0.0615115\pi\)
\(368\) −22.0170 + 82.1684i −1.14771 + 4.28332i
\(369\) 4.72848 + 17.6469i 0.246155 + 0.918662i
\(370\) −17.2507 + 29.8790i −0.896820 + 1.55334i
\(371\) 2.06776 2.06776i 0.107353 0.107353i
\(372\) 34.9520 + 20.1795i 1.81217 + 1.04626i
\(373\) −2.35626 + 4.08117i −0.122003 + 0.211315i −0.920557 0.390607i \(-0.872265\pi\)
0.798555 + 0.601922i \(0.205598\pi\)
\(374\) 60.8452 + 24.5847i 3.14623 + 1.27125i
\(375\) 12.3276 + 21.3520i 0.636593 + 1.10261i
\(376\) 28.2472i 1.45674i
\(377\) −14.8626 3.98242i −0.765462 0.205105i
\(378\) 2.73520 4.73750i 0.140683 0.243671i
\(379\) 26.2502 26.2502i 1.34838 1.34838i 0.460962 0.887420i \(-0.347504\pi\)
0.887420 0.460962i \(-0.152496\pi\)
\(380\) −46.3637 + 12.4231i −2.37841 + 0.637292i
\(381\) −3.77502 + 14.0886i −0.193400 + 0.721779i
\(382\) 44.9428 25.9477i 2.29947 1.32760i
\(383\) 12.3318i 0.630124i 0.949071 + 0.315062i \(0.102025\pi\)
−0.949071 + 0.315062i \(0.897975\pi\)
\(384\) 9.30427 34.7240i 0.474806 1.77200i
\(385\) 7.11713 + 7.11713i 0.362723 + 0.362723i
\(386\) −16.9540 + 16.9540i −0.862938 + 0.862938i
\(387\) 8.84405 7.56108i 0.449568 0.384351i
\(388\) −31.1828 + 31.1828i −1.58306 + 1.58306i
\(389\) 1.10448i 0.0559992i 0.999608 + 0.0279996i \(0.00891371\pi\)
−0.999608 + 0.0279996i \(0.991086\pi\)
\(390\) 29.9409 + 51.8592i 1.51612 + 2.62599i
\(391\) −28.3332 + 3.98129i −1.43287 + 0.201342i
\(392\) −27.0696 46.8859i −1.36722 2.36809i
\(393\) 41.1308 23.7469i 2.07478 1.19787i
\(394\) −8.85618 33.0517i −0.446168 1.66512i
\(395\) 11.2843 0.567776
\(396\) −14.0857 52.5687i −0.707835 2.64168i
\(397\) 4.89505 18.2686i 0.245676 0.916874i −0.727367 0.686249i \(-0.759256\pi\)
0.973043 0.230625i \(-0.0740772\pi\)
\(398\) −14.4069 14.4069i −0.722151 0.722151i
\(399\) −6.07634 + 3.50818i −0.304197 + 0.175628i
\(400\) −1.00441 0.579897i −0.0502205 0.0289948i
\(401\) −19.0250 + 5.09772i −0.950061 + 0.254568i −0.700388 0.713762i \(-0.746990\pi\)
−0.249673 + 0.968330i \(0.580323\pi\)
\(402\) 12.3637 3.31285i 0.616647 0.165230i
\(403\) 11.7221 11.7221i 0.583918 0.583918i
\(404\) −30.9319 + 53.5756i −1.53892 + 2.66549i
\(405\) −6.40573 23.9065i −0.318303 1.18792i
\(406\) −5.88413 + 3.39720i −0.292024 + 0.168600i
\(407\) −17.3276 30.0123i −0.858897 1.48765i
\(408\) 75.2723 10.5770i 3.72653 0.523640i
\(409\) −17.0586 −0.843493 −0.421746 0.906714i \(-0.638583\pi\)
−0.421746 + 0.906714i \(0.638583\pi\)
\(410\) 52.8230 30.4974i 2.60874 1.50616i
\(411\) 21.4461 + 5.74648i 1.05786 + 0.283453i
\(412\) −32.3461 + 56.0251i −1.59358 + 2.76016i
\(413\) 0.519419 + 1.93850i 0.0255590 + 0.0953873i
\(414\) 23.2885 + 23.2885i 1.14457 + 1.14457i
\(415\) 23.4430 6.28153i 1.15077 0.308348i
\(416\) −63.7595 36.8116i −3.12607 1.80483i
\(417\) −31.1346 17.9756i −1.52467 0.880268i
\(418\) 17.3204 64.6407i 0.847170 3.16168i
\(419\) −14.9771 14.9771i −0.731680 0.731680i 0.239273 0.970952i \(-0.423091\pi\)
−0.970952 + 0.239273i \(0.923091\pi\)
\(420\) 18.4011 + 4.93056i 0.897882 + 0.240587i
\(421\) 16.6092 28.7680i 0.809483 1.40207i −0.103740 0.994604i \(-0.533081\pi\)
0.913223 0.407461i \(-0.133586\pi\)
\(422\) −38.1283 + 38.1283i −1.85606 + 1.85606i
\(423\) 5.14476 + 2.97033i 0.250147 + 0.144422i
\(424\) 16.1530 + 27.9778i 0.784459 + 1.35872i
\(425\) 0.0475488 0.387178i 0.00230645 0.0187809i
\(426\) −45.7985 −2.21894
\(427\) −5.56847 + 3.21496i −0.269477 + 0.155583i
\(428\) −25.0632 + 25.0632i −1.21147 + 1.21147i
\(429\) −60.1489 −2.90402
\(430\) −32.0256 21.9873i −1.54441 1.06032i
\(431\) 12.8003 + 12.8003i 0.616571 + 0.616571i 0.944650 0.328080i \(-0.106401\pi\)
−0.328080 + 0.944650i \(0.606401\pi\)
\(432\) 23.2131 + 23.2131i 1.11684 + 1.11684i
\(433\) 5.58480 3.22439i 0.268388 0.154954i −0.359767 0.933042i \(-0.617144\pi\)
0.628155 + 0.778088i \(0.283810\pi\)
\(434\) 7.32016i 0.351379i
\(435\) −4.16610 + 15.5481i −0.199749 + 0.745475i
\(436\) 10.3906 38.7781i 0.497618 1.85714i
\(437\) 7.55154 + 28.1827i 0.361239 + 1.34816i
\(438\) 1.58472 0.0757208
\(439\) −0.502776 1.87639i −0.0239962 0.0895550i 0.952889 0.303318i \(-0.0980945\pi\)
−0.976885 + 0.213763i \(0.931428\pi\)
\(440\) −96.2982 + 55.5978i −4.59084 + 2.65052i
\(441\) −11.3860 −0.542188
\(442\) 6.21873 50.6376i 0.295795 2.40858i
\(443\) −7.28829 + 12.6237i −0.346277 + 0.599770i −0.985585 0.169181i \(-0.945888\pi\)
0.639308 + 0.768951i \(0.279221\pi\)
\(444\) −56.8040 32.7958i −2.69580 1.55642i
\(445\) −10.1195 37.7666i −0.479712 1.79031i
\(446\) 34.4590 1.63168
\(447\) −7.22863 26.9776i −0.341902 1.27600i
\(448\) −13.3159 + 3.56799i −0.629118 + 0.168572i
\(449\) −8.22192 + 30.6846i −0.388016 + 1.44810i 0.445340 + 0.895361i \(0.353083\pi\)
−0.833357 + 0.552735i \(0.813584\pi\)
\(450\) −0.388872 + 0.224516i −0.0183316 + 0.0105838i
\(451\) 61.2668i 2.88494i
\(452\) 1.69822 + 1.69822i 0.0798776 + 0.0798776i
\(453\) 2.63256 9.82486i 0.123689 0.461612i
\(454\) 1.14670 + 0.307259i 0.0538175 + 0.0144204i
\(455\) 3.91245 6.77657i 0.183419 0.317690i
\(456\) −20.0620 74.8726i −0.939491 3.50623i
\(457\) 29.0589i 1.35932i −0.733528 0.679659i \(-0.762128\pi\)
0.733528 0.679659i \(-0.237872\pi\)
\(458\) −2.21539 + 3.83716i −0.103518 + 0.179299i
\(459\) −4.13647 + 10.2374i −0.193074 + 0.477842i
\(460\) 39.6094 68.6055i 1.84680 3.19875i
\(461\) 8.76661 5.06141i 0.408302 0.235733i −0.281758 0.959485i \(-0.590918\pi\)
0.690060 + 0.723752i \(0.257584\pi\)
\(462\) −18.7808 + 18.7808i −0.873761 + 0.873761i
\(463\) −12.8343 22.2297i −0.596461 1.03310i −0.993339 0.115229i \(-0.963240\pi\)
0.396878 0.917871i \(-0.370094\pi\)
\(464\) −10.5530 39.3845i −0.489913 1.82838i
\(465\) −12.2628 12.2628i −0.568672 0.568672i
\(466\) 25.7591 6.90212i 1.19327 0.319734i
\(467\) −9.55639 + 5.51738i −0.442217 + 0.255314i −0.704538 0.709667i \(-0.748846\pi\)
0.262321 + 0.964981i \(0.415512\pi\)
\(468\) −36.6415 + 21.1550i −1.69375 + 0.977889i
\(469\) −1.18270 1.18270i −0.0546120 0.0546120i
\(470\) 5.13332 19.1578i 0.236782 0.883683i
\(471\) 5.47663 5.47663i 0.252350 0.252350i
\(472\) −22.1712 −1.02051
\(473\) 35.2107 16.8160i 1.61899 0.773199i
\(474\) 29.7772i 1.36771i
\(475\) −0.397795 −0.0182521
\(476\) −9.99210 12.7899i −0.457987 0.586225i
\(477\) 6.79424 0.311087
\(478\) 33.3156 19.2348i 1.52382 0.879778i
\(479\) −25.9717 6.95910i −1.18668 0.317969i −0.389106 0.921193i \(-0.627216\pi\)
−0.797572 + 0.603223i \(0.793883\pi\)
\(480\) −38.5095 + 66.7003i −1.75771 + 3.04444i
\(481\) −19.0508 + 19.0508i −0.868640 + 0.868640i
\(482\) −39.6574 + 10.6262i −1.80634 + 0.484009i
\(483\) 2.99710 11.1853i 0.136373 0.508951i
\(484\) 125.811i 5.71867i
\(485\) 16.4105 9.47462i 0.745163 0.430220i
\(486\) 42.3283 11.3418i 1.92005 0.514476i
\(487\) −28.3580 + 7.59850i −1.28502 + 0.344321i −0.835768 0.549083i \(-0.814977\pi\)
−0.449255 + 0.893404i \(0.648310\pi\)
\(488\) −18.3852 68.6146i −0.832261 3.10604i
\(489\) −5.99428 −0.271071
\(490\) 9.83860 + 36.7181i 0.444463 + 1.65876i
\(491\) −14.8147 8.55325i −0.668576 0.386003i 0.126961 0.991908i \(-0.459478\pi\)
−0.795537 + 0.605905i \(0.792811\pi\)
\(492\) 57.9796 + 100.424i 2.61392 + 4.52745i
\(493\) 10.8069 8.44288i 0.486719 0.380248i
\(494\) −52.0261 −2.34077
\(495\) 23.3855i 1.05110i
\(496\) 42.4321 + 11.3696i 1.90526 + 0.510512i
\(497\) 2.99230 + 5.18281i 0.134223 + 0.232481i
\(498\) 16.5758 + 61.8617i 0.742779 + 2.77209i
\(499\) 25.5213 6.83842i 1.14249 0.306130i 0.362540 0.931968i \(-0.381910\pi\)
0.779953 + 0.625838i \(0.215243\pi\)
\(500\) 41.1251 + 41.1251i 1.83917 + 1.83917i
\(501\) 15.2357 + 8.79636i 0.680683 + 0.392992i
\(502\) 47.9412 + 27.6789i 2.13972 + 1.23537i
\(503\) 13.6634 3.66109i 0.609220 0.163240i 0.0589975 0.998258i \(-0.481210\pi\)
0.550222 + 0.835018i \(0.314543\pi\)
\(504\) −2.95921 + 11.0439i −0.131814 + 0.491936i
\(505\) 18.7968 18.7968i 0.836447 0.836447i
\(506\) 55.2238 + 95.6505i 2.45500 + 4.25218i
\(507\) 4.75083 + 17.7303i 0.210992 + 0.787431i
\(508\) 34.4063i 1.52653i
\(509\) 6.22378 10.7799i 0.275864 0.477811i −0.694489 0.719504i \(-0.744369\pi\)
0.970353 + 0.241693i \(0.0777027\pi\)
\(510\) −52.9732 6.50556i −2.34569 0.288071i
\(511\) −0.103539 0.179335i −0.00458031 0.00793333i
\(512\) 11.7627i 0.519845i
\(513\) 10.8760 + 2.91423i 0.480189 + 0.128666i
\(514\) −24.7717 −1.09263
\(515\) 19.6562 19.6562i 0.866156 0.866156i
\(516\) 41.8008 60.8849i 1.84018 2.68031i
\(517\) 14.0870 + 14.0870i 0.619547 + 0.619547i
\(518\) 11.8967i 0.522713i
\(519\) −12.7928 + 7.38590i −0.561540 + 0.324205i
\(520\) 61.1268 + 61.1268i 2.68059 + 2.68059i
\(521\) 3.77338 14.0824i 0.165315 0.616963i −0.832685 0.553747i \(-0.813198\pi\)
0.998000 0.0632161i \(-0.0201357\pi\)
\(522\) −15.2483 4.08576i −0.667399 0.178829i
\(523\) −10.6922 + 18.5194i −0.467536 + 0.809797i −0.999312 0.0370886i \(-0.988192\pi\)
0.531776 + 0.846885i \(0.321525\pi\)
\(524\) 79.2203 79.2203i 3.46076 3.46076i
\(525\) 0.136728 + 0.0789397i 0.00596728 + 0.00344521i
\(526\) −10.6588 18.4616i −0.464747 0.804965i
\(527\) 2.05595 + 14.6314i 0.0895586 + 0.637352i
\(528\) −79.6946 138.035i −3.46826 6.00720i
\(529\) −21.7841 12.5771i −0.947135 0.546829i
\(530\) −5.87090 21.9105i −0.255016 0.951732i
\(531\) −2.33140 + 4.03811i −0.101174 + 0.175239i
\(532\) −11.7034 + 11.7034i −0.507406 + 0.507406i
\(533\) 46.0074 12.3277i 1.99280 0.533970i
\(534\) 99.6591 26.7036i 4.31267 1.15558i
\(535\) 13.1900 7.61523i 0.570252 0.329235i
\(536\) 16.0025 9.23905i 0.691203 0.399066i
\(537\) 13.5837 + 13.5837i 0.586182 + 0.586182i
\(538\) 50.2457 + 50.2457i 2.16625 + 2.16625i
\(539\) −36.8819 9.88247i −1.58862 0.425668i
\(540\) −15.2857 26.4756i −0.657793 1.13933i
\(541\) 4.85763 + 18.1289i 0.208846 + 0.779423i 0.988243 + 0.152892i \(0.0488588\pi\)
−0.779397 + 0.626530i \(0.784475\pi\)
\(542\) 59.3060 + 34.2403i 2.54741 + 1.47075i
\(543\) −28.2195 −1.21101
\(544\) 60.4026 25.6377i 2.58974 1.09921i
\(545\) −8.62532 + 14.9395i −0.369468 + 0.639938i
\(546\) 17.8821 + 10.3242i 0.765283 + 0.441836i
\(547\) 16.0340 + 4.29629i 0.685563 + 0.183696i 0.584755 0.811210i \(-0.301191\pi\)
0.100808 + 0.994906i \(0.467857\pi\)
\(548\) 52.3745 2.23733
\(549\) −14.4303 3.86658i −0.615870 0.165022i
\(550\) −1.45452 + 0.389738i −0.0620210 + 0.0166185i
\(551\) −9.88883 9.88883i −0.421278 0.421278i
\(552\) 110.791 + 63.9651i 4.71557 + 2.72254i
\(553\) 3.36976 1.94553i 0.143297 0.0827323i
\(554\) 10.5618 39.4173i 0.448729 1.67468i
\(555\) 19.9295 + 19.9295i 0.845959 + 0.845959i
\(556\) −81.9165 21.9495i −3.47403 0.930865i
\(557\) 20.7992 0.881290 0.440645 0.897681i \(-0.354750\pi\)
0.440645 + 0.897681i \(0.354750\pi\)
\(558\) 12.0263 12.0263i 0.509113 0.509113i
\(559\) −19.7126 23.0574i −0.833752 0.975224i
\(560\) 20.7353 0.876225
\(561\) 32.2638 42.8134i 1.36218 1.80758i
\(562\) −1.48142 2.56590i −0.0624899 0.108236i
\(563\) 6.03091i 0.254172i 0.991892 + 0.127086i \(0.0405625\pi\)
−0.991892 + 0.127086i \(0.959438\pi\)
\(564\) 36.4215 + 9.75912i 1.53362 + 0.410933i
\(565\) −0.515990 0.893721i −0.0217079 0.0375991i
\(566\) 22.9102 + 85.5019i 0.962987 + 3.59391i
\(567\) −6.03462 6.03462i −0.253430 0.253430i
\(568\) −63.8625 + 17.1119i −2.67961 + 0.717999i
\(569\) 0.273649 0.157992i 0.0114720 0.00662335i −0.494253 0.869318i \(-0.664558\pi\)
0.505725 + 0.862695i \(0.331225\pi\)
\(570\) 54.4258i 2.27965i
\(571\) −1.67066 + 6.23498i −0.0699148 + 0.260926i −0.992032 0.125985i \(-0.959791\pi\)
0.922117 + 0.386910i \(0.126458\pi\)
\(572\) −137.052 + 36.7231i −5.73044 + 1.53547i
\(573\) −10.9724 40.9494i −0.458377 1.71069i
\(574\) 10.5161 18.2144i 0.438934 0.760255i
\(575\) 0.464235 0.464235i 0.0193600 0.0193600i
\(576\) −27.7385 16.0149i −1.15577 0.667286i
\(577\) 7.17721 12.4313i 0.298791 0.517522i −0.677068 0.735920i \(-0.736750\pi\)
0.975860 + 0.218398i \(0.0700832\pi\)
\(578\) 32.7076 + 31.5883i 1.36046 + 1.31390i
\(579\) 9.79339 + 16.9626i 0.406999 + 0.704944i
\(580\) 37.9707i 1.57665i
\(581\) 5.91761 5.91761i 0.245504 0.245504i
\(582\) 25.0017 + 43.3043i 1.03636 + 1.79502i
\(583\) 22.0082 + 5.89708i 0.911487 + 0.244232i
\(584\) 2.20977 0.592106i 0.0914409 0.0245015i
\(585\) 17.5610 4.70545i 0.726057 0.194546i
\(586\) 21.6654i 0.894988i
\(587\) −11.3675 6.56301i −0.469186 0.270885i 0.246713 0.969089i \(-0.420649\pi\)
−0.715899 + 0.698204i \(0.753983\pi\)
\(588\) −69.8061 + 18.7045i −2.87875 + 0.771360i
\(589\) 14.5537 3.89965i 0.599674 0.160682i
\(590\) 15.0369 + 4.02913i 0.619060 + 0.165877i
\(591\) −27.9528 −1.14982
\(592\) −68.9607 18.4780i −2.83427 0.759440i
\(593\) 12.5797 + 7.26291i 0.516588 + 0.298252i 0.735538 0.677484i \(-0.236930\pi\)
−0.218950 + 0.975736i \(0.570263\pi\)
\(594\) 42.6230 1.74884
\(595\) 2.72486 + 6.41979i 0.111708 + 0.263186i
\(596\) −32.9416 57.0565i −1.34934 2.33712i
\(597\) −14.4142 + 8.32203i −0.589933 + 0.340598i
\(598\) 60.7156 60.7156i 2.48285 2.48285i
\(599\) −16.6942 28.9152i −0.682107 1.18144i −0.974337 0.225096i \(-0.927730\pi\)
0.292229 0.956348i \(-0.405603\pi\)
\(600\) −1.23333 + 1.23333i −0.0503503 + 0.0503503i
\(601\) −21.5843 21.5843i −0.880443 0.880443i 0.113137 0.993579i \(-0.463910\pi\)
−0.993579 + 0.113137i \(0.963910\pi\)
\(602\) −13.3544 1.04438i −0.544285 0.0425659i
\(603\) 3.88611i 0.158255i
\(604\) 23.9937i 0.976290i
\(605\) −13.9919 + 52.2184i −0.568851 + 2.12298i
\(606\) 49.6012 + 49.6012i 2.01491 + 2.01491i
\(607\) −22.2409 5.95942i −0.902729 0.241886i −0.222541 0.974923i \(-0.571435\pi\)
−0.680188 + 0.733038i \(0.738102\pi\)
\(608\) −33.4575 57.9501i −1.35688 2.35019i
\(609\) 1.43655 + 5.36130i 0.0582121 + 0.217251i
\(610\) 49.8768i 2.01945i
\(611\) 7.74396 13.4129i 0.313287 0.542629i
\(612\) 4.59655 37.4286i 0.185804 1.51296i
\(613\) 47.5199 1.91931 0.959655 0.281180i \(-0.0907258\pi\)
0.959655 + 0.281180i \(0.0907258\pi\)
\(614\) 61.2307 35.3515i 2.47107 1.42667i
\(615\) −12.8963 48.1295i −0.520027 1.94077i
\(616\) −19.1712 + 33.2055i −0.772430 + 1.33789i
\(617\) −3.48424 13.0034i −0.140270 0.523495i −0.999920 0.0126125i \(-0.995985\pi\)
0.859650 0.510883i \(-0.170681\pi\)
\(618\) 51.8690 + 51.8690i 2.08648 + 2.08648i
\(619\) −21.9650 + 5.88549i −0.882846 + 0.236558i −0.671635 0.740882i \(-0.734408\pi\)
−0.211212 + 0.977440i \(0.567741\pi\)
\(620\) −35.4281 20.4544i −1.42283 0.821470i
\(621\) −16.0935 + 9.29161i −0.645812 + 0.372860i
\(622\) −1.53651 + 5.73433i −0.0616084 + 0.229926i
\(623\) −9.53327 9.53327i −0.381942 0.381942i
\(624\) −87.6199 + 87.6199i −3.50760 + 3.50760i
\(625\) −12.2590 21.2332i −0.490360 0.849328i
\(626\) 8.90859 + 2.38705i 0.356059 + 0.0954057i
\(627\) −47.3443 27.3342i −1.89075 1.09162i
\(628\) 9.13509 15.8224i 0.364530 0.631384i
\(629\) −3.34134 23.7789i −0.133228 0.948129i
\(630\) 4.01398 6.95242i 0.159921 0.276991i
\(631\) −12.7546 7.36388i −0.507753 0.293151i 0.224156 0.974553i \(-0.428037\pi\)
−0.731910 + 0.681402i \(0.761371\pi\)
\(632\) 11.1258 + 41.5221i 0.442561 + 1.65166i
\(633\) 22.0246 + 38.1476i 0.875397 + 1.51623i
\(634\) −62.0197 + 62.0197i −2.46312 + 2.46312i
\(635\) 3.82645 14.2805i 0.151848 0.566705i
\(636\) 41.6548 11.1614i 1.65172 0.442577i
\(637\) 29.6844i 1.17614i
\(638\) −45.8466 26.4696i −1.81509 1.04794i
\(639\) −3.59879 + 13.4309i −0.142366 + 0.531317i
\(640\) −9.43103 + 35.1971i −0.372794 + 1.39129i
\(641\) 24.7530 24.7530i 0.977685 0.977685i −0.0220715 0.999756i \(-0.507026\pi\)
0.999756 + 0.0220715i \(0.00702615\pi\)
\(642\) 20.0952 + 34.8058i 0.793093 + 1.37368i
\(643\) −4.89106 + 4.89106i −0.192885 + 0.192885i −0.796941 0.604057i \(-0.793550\pi\)
0.604057 + 0.796941i \(0.293550\pi\)
\(644\) 27.3162i 1.07641i
\(645\) −24.1209 + 20.6218i −0.949759 + 0.811982i
\(646\) 27.9067 37.0317i 1.09798 1.45699i
\(647\) −44.8618 −1.76370 −0.881850 0.471529i \(-0.843702\pi\)
−0.881850 + 0.471529i \(0.843702\pi\)
\(648\) 81.6512 47.1414i 3.20756 1.85189i
\(649\) −11.0569 + 11.0569i −0.434020 + 0.434020i
\(650\) 0.585336 + 1.01383i 0.0229588 + 0.0397658i
\(651\) −5.77616 1.54772i −0.226385 0.0606598i
\(652\) −13.6583 + 3.65972i −0.534899 + 0.143326i
\(653\) −9.54757 9.54757i −0.373625 0.373625i 0.495171 0.868796i \(-0.335106\pi\)
−0.868796 + 0.495171i \(0.835106\pi\)
\(654\) −39.4225 22.7606i −1.54154 0.890010i
\(655\) −41.6912 + 24.0704i −1.62901 + 0.940509i
\(656\) 89.2483 + 89.2483i 3.48456 + 3.48456i
\(657\) 0.124525 0.464735i 0.00485819 0.0181310i
\(658\) −1.77007 6.60599i −0.0690045 0.257528i
\(659\) 6.90456 11.9591i 0.268964 0.465859i −0.699631 0.714504i \(-0.746652\pi\)
0.968594 + 0.248646i \(0.0799855\pi\)
\(660\) 38.4169 + 143.374i 1.49537 + 5.58082i
\(661\) 25.3741i 0.986937i 0.869764 + 0.493469i \(0.164271\pi\)
−0.869764 + 0.493469i \(0.835729\pi\)
\(662\) 10.2194 17.7004i 0.397187 0.687947i
\(663\) −38.6420 15.6134i −1.50073 0.606376i
\(664\) 46.2274 + 80.0681i 1.79397 + 3.10725i
\(665\) 6.15912 3.55597i 0.238841 0.137895i
\(666\) −19.5451 + 19.5451i −0.757359 + 0.757359i
\(667\) 23.0810 0.893698
\(668\) 40.0859 + 10.7410i 1.55097 + 0.415581i
\(669\) 7.28573 27.1907i 0.281683 1.05125i
\(670\) −12.5322 + 3.35799i −0.484160 + 0.129730i
\(671\) −43.3872 25.0496i −1.67494 0.967030i
\(672\) 26.5576i 1.02448i
\(673\) 0.764159 0.204756i 0.0294562 0.00789275i −0.244061 0.969760i \(-0.578480\pi\)
0.273517 + 0.961867i \(0.411813\pi\)
\(674\) 2.02874 0.543600i 0.0781442 0.0209387i
\(675\) −0.0655748 0.244729i −0.00252398 0.00941961i
\(676\) 21.6500 + 37.4989i 0.832692 + 1.44226i
\(677\) −19.1915 + 19.1915i −0.737589 + 0.737589i −0.972111 0.234522i \(-0.924648\pi\)
0.234522 + 0.972111i \(0.424648\pi\)
\(678\) 2.35836 1.36160i 0.0905723 0.0522920i
\(679\) 3.26703 5.65867i 0.125377 0.217160i
\(680\) −76.2978 + 10.7211i −2.92589 + 0.411136i
\(681\) 0.484900 0.839872i 0.0185814 0.0321840i
\(682\) 49.3943 28.5178i 1.89140 1.09200i
\(683\) −13.2466 3.54942i −0.506868 0.135815i −0.00368233 0.999993i \(-0.501172\pi\)
−0.503186 + 0.864178i \(0.667839\pi\)
\(684\) −38.4549 −1.47036
\(685\) −21.7383 5.82477i −0.830579 0.222553i
\(686\) 19.3797 + 19.3797i 0.739919 + 0.739919i
\(687\) 2.55940 + 2.55940i 0.0976474 + 0.0976474i
\(688\) 26.7959 75.7881i 1.02158 2.88939i
\(689\) 17.7133i 0.674824i
\(690\) −63.5161 63.5161i −2.41802 2.41802i
\(691\) 0.373287 1.39313i 0.0142005 0.0529971i −0.958462 0.285220i \(-0.907933\pi\)
0.972663 + 0.232223i \(0.0745999\pi\)
\(692\) −24.6396 + 24.6396i −0.936656 + 0.936656i
\(693\) 4.03188 + 6.98342i 0.153159 + 0.265278i
\(694\) −80.9725 21.6965i −3.07367 0.823589i
\(695\) 31.5588 + 18.2205i 1.19709 + 0.691142i
\(696\) −61.3188 −2.32428
\(697\) −15.9036 + 39.3601i −0.602392 + 1.49087i
\(698\) 0.602439 + 1.04346i 0.0228027 + 0.0394954i
\(699\) 21.7852i 0.823990i
\(700\) 0.359736 + 0.0963910i 0.0135967 + 0.00364324i
\(701\) 4.72775 8.18871i 0.178565 0.309283i −0.762824 0.646606i \(-0.776188\pi\)
0.941389 + 0.337323i \(0.109521\pi\)
\(702\) −8.57629 32.0072i −0.323691 1.20803i
\(703\) −23.6527 + 6.33772i −0.892078 + 0.239031i
\(704\) −75.9518 75.9518i −2.86254 2.86254i
\(705\) −14.0316 8.10115i −0.528461 0.305107i
\(706\) −26.5049 15.3026i −0.997526 0.575922i
\(707\) 2.37240 8.85390i 0.0892231 0.332985i
\(708\) −7.65991 + 28.5872i −0.287877 + 1.07437i
\(709\) −6.18171 + 6.18171i −0.232159 + 0.232159i −0.813593 0.581434i \(-0.802492\pi\)
0.581434 + 0.813593i \(0.302492\pi\)
\(710\) 46.4224 1.74220
\(711\) 8.73247 + 2.33986i 0.327493 + 0.0877516i
\(712\) 128.990 74.4722i 4.83409 2.79096i
\(713\) −12.4335 + 21.5354i −0.465638 + 0.806508i
\(714\) −16.9406 + 7.19039i −0.633986 + 0.269094i
\(715\) 60.9684 2.28009
\(716\) 39.2446 + 22.6579i 1.46664 + 0.846765i
\(717\) −8.13370 30.3554i −0.303758 1.13364i
\(718\) −37.7998 + 65.4712i −1.41068 + 2.44336i
\(719\) 24.3831 + 6.53342i 0.909335 + 0.243655i 0.683021 0.730399i \(-0.260666\pi\)
0.226314 + 0.974054i \(0.427333\pi\)
\(720\) 34.0659 + 34.0659i 1.26956 + 1.26956i
\(721\) 2.48086 9.25871i 0.0923922 0.344812i
\(722\) 3.06116 + 1.76736i 0.113925 + 0.0657744i
\(723\) 33.5394i 1.24734i
\(724\) −64.2994 + 17.2290i −2.38967 + 0.640310i
\(725\) −0.0814460 + 0.303961i −0.00302483 + 0.0112888i
\(726\) −137.795 36.9220i −5.11404 1.37030i
\(727\) −33.2171 −1.23195 −0.615977 0.787764i \(-0.711239\pi\)
−0.615977 + 0.787764i \(0.711239\pi\)
\(728\) 28.7927 + 7.71498i 1.06713 + 0.285936i
\(729\) 2.27413i 0.0842272i
\(730\) −1.60631 −0.0594521
\(731\) 26.9858 1.66325i 0.998106 0.0615174i
\(732\) −94.8225 −3.50474
\(733\) 5.88153i 0.217239i −0.994083 0.108620i \(-0.965357\pi\)
0.994083 0.108620i \(-0.0346431\pi\)
\(734\) −6.78097 1.81696i −0.250290 0.0670651i
\(735\) 31.0536 1.14543
\(736\) 106.675 + 28.5834i 3.93208 + 1.05360i
\(737\) 3.37296 12.5881i 0.124245 0.463687i
\(738\) 47.2013 12.6476i 1.73750 0.465563i
\(739\) 11.1907i 0.411655i 0.978588 + 0.205828i \(0.0659886\pi\)
−0.978588 + 0.205828i \(0.934011\pi\)
\(740\) 57.5779 + 33.2426i 2.11661 + 1.22202i
\(741\) −11.0000 + 41.0525i −0.404095 + 1.50810i
\(742\) −5.53077 5.53077i −0.203041 0.203041i
\(743\) 43.2803 + 11.5969i 1.58780 + 0.425450i 0.941329 0.337490i \(-0.109578\pi\)
0.646470 + 0.762939i \(0.276244\pi\)
\(744\) 33.0318 57.2128i 1.21101 2.09752i
\(745\) 7.32711 + 27.3451i 0.268444 + 1.00185i
\(746\) 10.9162 + 6.30245i 0.399669 + 0.230749i
\(747\) 19.4441 0.711421
\(748\) 47.3756 117.251i 1.73222 4.28711i
\(749\) 2.62588 4.54816i 0.0959476 0.166186i
\(750\) 57.1115 32.9733i 2.08542 1.20402i
\(751\) −37.8568 10.1437i −1.38142 0.370149i −0.509781 0.860304i \(-0.670273\pi\)
−0.871635 + 0.490155i \(0.836940\pi\)
\(752\) 41.0416 1.49663
\(753\) 31.9770 31.9770i 1.16531 1.16531i
\(754\) −10.6520 + 39.7539i −0.387924 + 1.44775i
\(755\) −2.66843 + 9.95871i −0.0971140 + 0.362435i
\(756\) −9.12932 5.27082i −0.332030 0.191698i
\(757\) −30.5313 17.6273i −1.10968 0.640674i −0.170933 0.985283i \(-0.554678\pi\)