Properties

Label 546.2.bu.b.71.8
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.8
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.69149 + 0.372632i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.11112 + 1.11112i) q^{5} +(-1.53741 + 0.797725i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.72229 - 1.26061i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.69149 + 0.372632i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.11112 + 1.11112i) q^{5} +(-1.53741 + 0.797725i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.72229 - 1.26061i) q^{9} +(1.36084 + 0.785680i) q^{10} +(1.03434 + 3.86021i) q^{11} +(-1.27856 + 1.16845i) q^{12} +(-1.97046 - 3.01949i) q^{13} -1.00000i q^{14} +(-2.29349 - 1.46541i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.65413 + 4.59709i) q^{17} +(2.30326 - 1.92223i) q^{18} +(5.14536 + 1.37869i) q^{19} +(1.51782 + 0.406698i) q^{20} +(-0.0778557 + 1.73030i) q^{21} +(1.99819 + 3.46097i) q^{22} +(1.44928 - 2.51022i) q^{23} +(-0.932575 + 1.45956i) q^{24} -2.53083i q^{25} +(-2.68482 - 2.40661i) q^{26} +(-4.13499 + 3.14672i) q^{27} +(-0.258819 - 0.965926i) q^{28} +(7.12197 + 4.11187i) q^{29} +(-2.59462 - 0.821880i) q^{30} +(-3.52940 + 3.52940i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-3.18801 - 6.14408i) q^{33} +(3.75351 + 3.75351i) q^{34} +(1.36084 - 0.785680i) q^{35} +(1.72727 - 2.45286i) q^{36} +(9.27105 - 2.48417i) q^{37} +5.32686 q^{38} +(4.45817 + 4.37318i) q^{39} +1.57136 q^{40} +(-0.976286 + 0.261595i) q^{41} +(0.372632 + 1.69149i) q^{42} +(-0.645525 + 0.372694i) q^{43} +(2.82587 + 2.82587i) q^{44} +(4.42548 + 1.62410i) q^{45} +(0.750200 - 2.79979i) q^{46} +(-4.72278 + 4.72278i) q^{47} +(-0.523037 + 1.65119i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-0.655026 - 2.44459i) q^{50} +(-6.20247 - 6.78693i) q^{51} +(-3.21621 - 1.62972i) q^{52} -7.57938i q^{53} +(-3.17966 + 4.10971i) q^{54} +(-3.13988 + 5.43843i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-9.21707 - 0.414727i) q^{57} +(7.94353 + 2.12846i) q^{58} +(-9.73021 - 2.60720i) q^{59} +(-2.71892 - 0.122339i) q^{60} +(1.42106 + 2.46134i) q^{61} +(-2.49566 + 4.32262i) q^{62} +(-0.513072 - 2.95580i) q^{63} -1.00000i q^{64} +(1.16560 - 5.54442i) q^{65} +(-4.66959 - 5.10961i) q^{66} +(-4.21963 - 15.7479i) q^{67} +(4.59709 + 2.65413i) q^{68} +(-1.51605 + 4.78606i) q^{69} +(1.11112 - 1.11112i) q^{70} +(-3.21485 + 11.9980i) q^{71} +(1.03357 - 2.81633i) q^{72} +(-3.67841 - 3.67841i) q^{73} +(8.31219 - 4.79905i) q^{74} +(0.943067 + 4.28088i) q^{75} +(5.14536 - 1.37869i) q^{76} +3.99638 q^{77} +(5.43812 + 3.07031i) q^{78} -11.4102 q^{79} +(1.51782 - 0.406698i) q^{80} +(5.82174 - 6.86348i) q^{81} +(-0.875314 + 0.505363i) q^{82} +(2.04710 + 2.04710i) q^{83} +(0.797725 + 1.53741i) q^{84} +(-2.15886 + 8.05698i) q^{85} +(-0.527069 + 0.527069i) q^{86} +(-13.5790 - 4.30133i) q^{87} +(3.46097 + 1.99819i) q^{88} +(-4.10776 - 15.3304i) q^{89} +(4.69503 + 0.423368i) q^{90} +(-3.42659 + 1.12182i) q^{91} -2.89855i q^{92} +(4.65479 - 7.28512i) q^{93} +(-3.33951 + 5.78420i) q^{94} +(4.18521 + 7.24900i) q^{95} +(-0.0778557 + 1.73030i) q^{96} +(-7.62598 - 2.04337i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(7.68198 + 9.20471i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) −1.69149 + 0.372632i −0.976583 + 0.215139i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.11112 + 1.11112i 0.496908 + 0.496908i 0.910474 0.413566i \(-0.135717\pi\)
−0.413566 + 0.910474i \(0.635717\pi\)
\(6\) −1.53741 + 0.797725i −0.627646 + 0.325670i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.72229 1.26061i 0.907430 0.420202i
\(10\) 1.36084 + 0.785680i 0.430335 + 0.248454i
\(11\) 1.03434 + 3.86021i 0.311865 + 1.16390i 0.926873 + 0.375375i \(0.122486\pi\)
−0.615008 + 0.788521i \(0.710847\pi\)
\(12\) −1.27856 + 1.16845i −0.369088 + 0.337304i
\(13\) −1.97046 3.01949i −0.546507 0.837455i
\(14\) 1.00000i 0.267261i
\(15\) −2.29349 1.46541i −0.592176 0.378368i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.65413 + 4.59709i 0.643722 + 1.11496i 0.984595 + 0.174850i \(0.0559439\pi\)
−0.340873 + 0.940109i \(0.610723\pi\)
\(18\) 2.30326 1.92223i 0.542884 0.453075i
\(19\) 5.14536 + 1.37869i 1.18043 + 0.316294i 0.795095 0.606485i \(-0.207421\pi\)
0.385330 + 0.922779i \(0.374087\pi\)
\(20\) 1.51782 + 0.406698i 0.339394 + 0.0909404i
\(21\) −0.0778557 + 1.73030i −0.0169895 + 0.377582i
\(22\) 1.99819 + 3.46097i 0.426016 + 0.737881i
\(23\) 1.44928 2.51022i 0.302195 0.523417i −0.674438 0.738331i \(-0.735614\pi\)
0.976633 + 0.214915i \(0.0689473\pi\)
\(24\) −0.932575 + 1.45956i −0.190361 + 0.297931i
\(25\) 2.53083i 0.506166i
\(26\) −2.68482 2.40661i −0.526536 0.471975i
\(27\) −4.13499 + 3.14672i −0.795780 + 0.605586i
\(28\) −0.258819 0.965926i −0.0489122 0.182543i
\(29\) 7.12197 + 4.11187i 1.32252 + 0.763555i 0.984130 0.177452i \(-0.0567853\pi\)
0.338387 + 0.941007i \(0.390119\pi\)
\(30\) −2.59462 0.821880i −0.473710 0.150054i
\(31\) −3.52940 + 3.52940i −0.633899 + 0.633899i −0.949044 0.315145i \(-0.897947\pi\)
0.315145 + 0.949044i \(0.397947\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −3.18801 6.14408i −0.554962 1.06955i
\(34\) 3.75351 + 3.75351i 0.643722 + 0.643722i
\(35\) 1.36084 0.785680i 0.230024 0.132804i
\(36\) 1.72727 2.45286i 0.287878 0.408811i
\(37\) 9.27105 2.48417i 1.52415 0.408395i 0.603045 0.797707i \(-0.293954\pi\)
0.921106 + 0.389312i \(0.127287\pi\)
\(38\) 5.32686 0.864132
\(39\) 4.45817 + 4.37318i 0.713878 + 0.700270i
\(40\) 1.57136 0.248454
\(41\) −0.976286 + 0.261595i −0.152470 + 0.0408543i −0.334247 0.942486i \(-0.608482\pi\)
0.181777 + 0.983340i \(0.441815\pi\)
\(42\) 0.372632 + 1.69149i 0.0574983 + 0.261003i
\(43\) −0.645525 + 0.372694i −0.0984416 + 0.0568353i −0.548413 0.836208i \(-0.684768\pi\)
0.449971 + 0.893043i \(0.351434\pi\)
\(44\) 2.82587 + 2.82587i 0.426016 + 0.426016i
\(45\) 4.42548 + 1.62410i 0.659711 + 0.242107i
\(46\) 0.750200 2.79979i 0.110611 0.412806i
\(47\) −4.72278 + 4.72278i −0.688888 + 0.688888i −0.961986 0.273098i \(-0.911952\pi\)
0.273098 + 0.961986i \(0.411952\pi\)
\(48\) −0.523037 + 1.65119i −0.0754940 + 0.238329i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −0.655026 2.44459i −0.0926347 0.345718i
\(51\) −6.20247 6.78693i −0.868519 0.950361i
\(52\) −3.21621 1.62972i −0.446008 0.226002i
\(53\) 7.57938i 1.04111i −0.853829 0.520554i \(-0.825725\pi\)
0.853829 0.520554i \(-0.174275\pi\)
\(54\) −3.17966 + 4.10971i −0.432698 + 0.559261i
\(55\) −3.13988 + 5.43843i −0.423381 + 0.733317i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) −9.21707 0.414727i −1.22083 0.0549319i
\(58\) 7.94353 + 2.12846i 1.04304 + 0.279481i
\(59\) −9.73021 2.60720i −1.26677 0.339429i −0.437974 0.898987i \(-0.644304\pi\)
−0.828791 + 0.559559i \(0.810971\pi\)
\(60\) −2.71892 0.122339i −0.351012 0.0157939i
\(61\) 1.42106 + 2.46134i 0.181947 + 0.315142i 0.942544 0.334083i \(-0.108427\pi\)
−0.760596 + 0.649225i \(0.775093\pi\)
\(62\) −2.49566 + 4.32262i −0.316950 + 0.548973i
\(63\) −0.513072 2.95580i −0.0646410 0.372396i
\(64\) 1.00000i 0.125000i
\(65\) 1.16560 5.54442i 0.144574 0.687701i
\(66\) −4.66959 5.10961i −0.574787 0.628950i
\(67\) −4.21963 15.7479i −0.515510 1.92391i −0.345261 0.938507i \(-0.612209\pi\)
−0.170249 0.985401i \(-0.554457\pi\)
\(68\) 4.59709 + 2.65413i 0.557479 + 0.321861i
\(69\) −1.51605 + 4.78606i −0.182511 + 0.576174i
\(70\) 1.11112 1.11112i 0.132804 0.132804i
\(71\) −3.21485 + 11.9980i −0.381533 + 1.42390i 0.462028 + 0.886865i \(0.347122\pi\)
−0.843561 + 0.537034i \(0.819545\pi\)
\(72\) 1.03357 2.81633i 0.121807 0.331908i
\(73\) −3.67841 3.67841i −0.430525 0.430525i 0.458282 0.888807i \(-0.348465\pi\)
−0.888807 + 0.458282i \(0.848465\pi\)
\(74\) 8.31219 4.79905i 0.966273 0.557878i
\(75\) 0.943067 + 4.28088i 0.108896 + 0.494313i
\(76\) 5.14536 1.37869i 0.590213 0.158147i
\(77\) 3.99638 0.455430
\(78\) 5.43812 + 3.07031i 0.615746 + 0.347644i
\(79\) −11.4102 −1.28374 −0.641872 0.766812i \(-0.721842\pi\)
−0.641872 + 0.766812i \(0.721842\pi\)
\(80\) 1.51782 0.406698i 0.169697 0.0454702i
\(81\) 5.82174 6.86348i 0.646860 0.762609i
\(82\) −0.875314 + 0.505363i −0.0966623 + 0.0558080i
\(83\) 2.04710 + 2.04710i 0.224698 + 0.224698i 0.810473 0.585775i \(-0.199210\pi\)
−0.585775 + 0.810473i \(0.699210\pi\)
\(84\) 0.797725 + 1.53741i 0.0870389 + 0.167745i
\(85\) −2.15886 + 8.05698i −0.234161 + 0.873902i
\(86\) −0.527069 + 0.527069i −0.0568353 + 0.0568353i
\(87\) −13.5790 4.30133i −1.45582 0.461151i
\(88\) 3.46097 + 1.99819i 0.368940 + 0.213008i
\(89\) −4.10776 15.3304i −0.435422 1.62502i −0.740055 0.672546i \(-0.765201\pi\)
0.304633 0.952470i \(-0.401466\pi\)
\(90\) 4.69503 + 0.423368i 0.494900 + 0.0446269i
\(91\) −3.42659 + 1.12182i −0.359204 + 0.117598i
\(92\) 2.89855i 0.302195i
\(93\) 4.65479 7.28512i 0.482679 0.755432i
\(94\) −3.33951 + 5.78420i −0.344444 + 0.596594i
\(95\) 4.18521 + 7.24900i 0.429394 + 0.743731i
\(96\) −0.0778557 + 1.73030i −0.00794612 + 0.176598i
\(97\) −7.62598 2.04337i −0.774301 0.207473i −0.150030 0.988681i \(-0.547937\pi\)
−0.624271 + 0.781208i \(0.714604\pi\)
\(98\) −0.965926 0.258819i −0.0975732 0.0261447i
\(99\) 7.68198 + 9.20471i 0.772068 + 0.925109i
\(100\) −1.26541 2.19176i −0.126541 0.219176i
\(101\) 2.83502 4.91039i 0.282095 0.488602i −0.689806 0.723994i \(-0.742304\pi\)
0.971900 + 0.235392i \(0.0756374\pi\)
\(102\) −7.74771 4.95036i −0.767138 0.490158i
\(103\) 8.09989i 0.798106i 0.916928 + 0.399053i \(0.130661\pi\)
−0.916928 + 0.399053i \(0.869339\pi\)
\(104\) −3.52842 0.741775i −0.345990 0.0727371i
\(105\) −2.00908 + 1.83606i −0.196066 + 0.179181i
\(106\) −1.96169 7.32112i −0.190536 0.711090i
\(107\) 0.0829210 + 0.0478745i 0.00801628 + 0.00462820i 0.504003 0.863702i \(-0.331860\pi\)
−0.495987 + 0.868330i \(0.665193\pi\)
\(108\) −2.00765 + 4.79263i −0.193186 + 0.461172i
\(109\) −13.8425 + 13.8425i −1.32587 + 1.32587i −0.416927 + 0.908940i \(0.636893\pi\)
−0.908940 + 0.416927i \(0.863107\pi\)
\(110\) −1.62532 + 6.06578i −0.154968 + 0.578349i
\(111\) −14.7562 + 7.65664i −1.40060 + 0.726736i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) −11.6098 + 6.70295i −1.09216 + 0.630560i −0.934151 0.356877i \(-0.883841\pi\)
−0.158011 + 0.987437i \(0.550508\pi\)
\(114\) −9.01035 + 1.98496i −0.843897 + 0.185908i
\(115\) 4.39947 1.17883i 0.410253 0.109927i
\(116\) 8.22374 0.763555
\(117\) −9.17055 5.73595i −0.847817 0.530289i
\(118\) −10.0735 −0.927336
\(119\) 5.12739 1.37388i 0.470027 0.125943i
\(120\) −2.65794 + 0.585539i −0.242636 + 0.0534521i
\(121\) −4.30507 + 2.48553i −0.391370 + 0.225958i
\(122\) 2.00968 + 2.00968i 0.181947 + 0.181947i
\(123\) 1.55390 0.806281i 0.140111 0.0726999i
\(124\) −1.29185 + 4.82125i −0.116012 + 0.432961i
\(125\) 8.36765 8.36765i 0.748425 0.748425i
\(126\) −1.26061 2.72229i −0.112304 0.242521i
\(127\) −5.82316 3.36200i −0.516722 0.298330i 0.218871 0.975754i \(-0.429763\pi\)
−0.735592 + 0.677424i \(0.763096\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 0.953023 0.870952i 0.0839090 0.0766831i
\(130\) −0.309123 5.65718i −0.0271119 0.496167i
\(131\) 10.1299i 0.885050i −0.896756 0.442525i \(-0.854083\pi\)
0.896756 0.442525i \(-0.145917\pi\)
\(132\) −5.83294 3.72693i −0.507693 0.324387i
\(133\) 2.66343 4.61320i 0.230949 0.400015i
\(134\) −8.15169 14.1191i −0.704199 1.21971i
\(135\) −8.09085 1.09809i −0.696349 0.0945084i
\(136\) 5.12739 + 1.37388i 0.439670 + 0.117809i
\(137\) 6.68398 + 1.79097i 0.571051 + 0.153013i 0.532778 0.846255i \(-0.321148\pi\)
0.0382722 + 0.999267i \(0.487815\pi\)
\(138\) −0.225669 + 5.01536i −0.0192102 + 0.426936i
\(139\) −1.67800 2.90638i −0.142326 0.246516i 0.786046 0.618168i \(-0.212125\pi\)
−0.928372 + 0.371652i \(0.878791\pi\)
\(140\) 0.785680 1.36084i 0.0664021 0.115012i
\(141\) 6.22868 9.74840i 0.524550 0.820963i
\(142\) 12.4212i 1.04237i
\(143\) 9.61772 10.7296i 0.804274 0.897250i
\(144\) 0.269428 2.98788i 0.0224523 0.248990i
\(145\) 3.34458 + 12.4821i 0.277752 + 1.03659i
\(146\) −4.50511 2.60103i −0.372846 0.215263i
\(147\) 1.65119 + 0.523037i 0.136188 + 0.0431394i
\(148\) 6.78688 6.78688i 0.557878 0.557878i
\(149\) 1.57701 5.88548i 0.129194 0.482158i −0.870761 0.491707i \(-0.836373\pi\)
0.999954 + 0.00954954i \(0.00303976\pi\)
\(150\) 2.01890 + 3.89092i 0.164843 + 0.317693i
\(151\) 3.25994 + 3.25994i 0.265290 + 0.265290i 0.827199 0.561909i \(-0.189933\pi\)
−0.561909 + 0.827199i \(0.689933\pi\)
\(152\) 4.61320 2.66343i 0.374180 0.216033i
\(153\) 13.0205 + 9.16881i 1.05264 + 0.741254i
\(154\) 3.86021 1.03434i 0.311064 0.0833495i
\(155\) −7.84317 −0.629979
\(156\) 6.04748 + 1.55820i 0.484186 + 0.124756i
\(157\) 10.9582 0.874560 0.437280 0.899325i \(-0.355942\pi\)
0.437280 + 0.899325i \(0.355942\pi\)
\(158\) −11.0214 + 2.95317i −0.876813 + 0.234941i
\(159\) 2.82432 + 12.8205i 0.223983 + 1.01673i
\(160\) 1.36084 0.785680i 0.107584 0.0621135i
\(161\) −2.04959 2.04959i −0.161530 0.161530i
\(162\) 3.84697 8.13639i 0.302246 0.639255i
\(163\) 5.08086 18.9620i 0.397964 1.48522i −0.418709 0.908120i \(-0.637517\pi\)
0.816673 0.577101i \(-0.195816\pi\)
\(164\) −0.714691 + 0.714691i −0.0558080 + 0.0558080i
\(165\) 3.28455 10.3691i 0.255702 0.807231i
\(166\) 2.50717 + 1.44752i 0.194594 + 0.112349i
\(167\) 2.10435 + 7.85354i 0.162839 + 0.607725i 0.998306 + 0.0581836i \(0.0185309\pi\)
−0.835466 + 0.549541i \(0.814802\pi\)
\(168\) 1.16845 + 1.27856i 0.0901482 + 0.0986430i
\(169\) −5.23459 + 11.8995i −0.402661 + 0.915349i
\(170\) 8.34120i 0.639741i
\(171\) 15.7451 2.73307i 1.20406 0.209003i
\(172\) −0.372694 + 0.645525i −0.0284177 + 0.0492208i
\(173\) 0.130518 + 0.226063i 0.00992307 + 0.0171873i 0.870944 0.491382i \(-0.163508\pi\)
−0.861021 + 0.508569i \(0.830175\pi\)
\(174\) −14.2295 0.640266i −1.07874 0.0485384i
\(175\) −2.44459 0.655026i −0.184794 0.0495153i
\(176\) 3.86021 + 1.03434i 0.290974 + 0.0779663i
\(177\) 17.4301 + 0.784276i 1.31013 + 0.0589498i
\(178\) −7.93558 13.7448i −0.594797 1.03022i
\(179\) −8.54492 + 14.8002i −0.638677 + 1.10622i 0.347046 + 0.937848i \(0.387185\pi\)
−0.985723 + 0.168374i \(0.946149\pi\)
\(180\) 4.64463 0.806221i 0.346190 0.0600922i
\(181\) 10.0519i 0.747154i 0.927599 + 0.373577i \(0.121869\pi\)
−0.927599 + 0.373577i \(0.878131\pi\)
\(182\) −3.01949 + 1.97046i −0.223819 + 0.146060i
\(183\) −3.32088 3.63381i −0.245486 0.268619i
\(184\) −0.750200 2.79979i −0.0553055 0.206403i
\(185\) 13.0614 + 7.54103i 0.960297 + 0.554428i
\(186\) 2.61065 8.24163i 0.191422 0.604306i
\(187\) −15.0005 + 15.0005i −1.09694 + 1.09694i
\(188\) −1.72866 + 6.45143i −0.126075 + 0.470519i
\(189\) 1.96928 + 4.80853i 0.143244 + 0.349769i
\(190\) 5.91878 + 5.91878i 0.429394 + 0.429394i
\(191\) 13.9352 8.04548i 1.00831 0.582151i 0.0976170 0.995224i \(-0.468878\pi\)
0.910698 + 0.413073i \(0.135545\pi\)
\(192\) 0.372632 + 1.69149i 0.0268924 + 0.122073i
\(193\) 1.36356 0.365365i 0.0981512 0.0262995i −0.209409 0.977828i \(-0.567154\pi\)
0.307560 + 0.951529i \(0.400487\pi\)
\(194\) −7.89499 −0.566827
\(195\) 0.0944313 + 9.81269i 0.00676236 + 0.702701i
\(196\) −1.00000 −0.0714286
\(197\) −0.874547 + 0.234334i −0.0623089 + 0.0166956i −0.289839 0.957075i \(-0.593602\pi\)
0.227530 + 0.973771i \(0.426935\pi\)
\(198\) 9.80258 + 6.90283i 0.696639 + 0.490563i
\(199\) 6.43378 3.71454i 0.456079 0.263317i −0.254315 0.967121i \(-0.581850\pi\)
0.710394 + 0.703804i \(0.248517\pi\)
\(200\) −1.78957 1.78957i −0.126541 0.126541i
\(201\) 13.0056 + 25.0650i 0.917346 + 1.76795i
\(202\) 1.46751 5.47683i 0.103254 0.385349i
\(203\) 5.81506 5.81506i 0.408138 0.408138i
\(204\) −8.76496 2.77642i −0.613670 0.194388i
\(205\) −1.37543 0.794107i −0.0960644 0.0554628i
\(206\) 2.09641 + 7.82389i 0.146064 + 0.545116i
\(207\) 0.780950 8.66051i 0.0542797 0.601947i
\(208\) −3.60018 + 0.196723i −0.249628 + 0.0136403i
\(209\) 21.2882i 1.47253i
\(210\) −1.46541 + 2.29349i −0.101123 + 0.158266i
\(211\) 5.63900 9.76703i 0.388204 0.672390i −0.604004 0.796982i \(-0.706429\pi\)
0.992208 + 0.124592i \(0.0397621\pi\)
\(212\) −3.78969 6.56394i −0.260277 0.450813i
\(213\) 0.967064 21.4925i 0.0662621 1.47264i
\(214\) 0.0924864 + 0.0247817i 0.00632224 + 0.00169404i
\(215\) −1.13136 0.303148i −0.0771583 0.0206745i
\(216\) −0.698814 + 5.14895i −0.0475483 + 0.350341i
\(217\) 2.49566 + 4.32262i 0.169417 + 0.293438i
\(218\) −9.78809 + 16.9535i −0.662933 + 1.14823i
\(219\) 7.59269 + 4.85131i 0.513067 + 0.327821i
\(220\) 6.27975i 0.423381i
\(221\) 8.65100 17.0725i 0.581929 1.14842i
\(222\) −12.2717 + 11.2149i −0.823625 + 0.752697i
\(223\) −5.14752 19.2108i −0.344703 1.28645i −0.892958 0.450139i \(-0.851374\pi\)
0.548255 0.836311i \(-0.315292\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) −3.19038 6.88965i −0.212692 0.459310i
\(226\) −9.47940 + 9.47940i −0.630560 + 0.630560i
\(227\) −1.25695 + 4.69102i −0.0834270 + 0.311354i −0.995012 0.0997586i \(-0.968193\pi\)
0.911585 + 0.411112i \(0.134860\pi\)
\(228\) −8.18958 + 4.24937i −0.542368 + 0.281422i
\(229\) 7.12968 + 7.12968i 0.471142 + 0.471142i 0.902284 0.431142i \(-0.141889\pi\)
−0.431142 + 0.902284i \(0.641889\pi\)
\(230\) 3.94446 2.27733i 0.260090 0.150163i
\(231\) −6.75985 + 1.48918i −0.444765 + 0.0979808i
\(232\) 7.94353 2.12846i 0.521518 0.139740i
\(233\) −7.76640 −0.508794 −0.254397 0.967100i \(-0.581877\pi\)
−0.254397 + 0.967100i \(0.581877\pi\)
\(234\) −10.3426 3.16699i −0.676119 0.207032i
\(235\) −10.4951 −0.684627
\(236\) −9.73021 + 2.60720i −0.633383 + 0.169714i
\(237\) 19.3002 4.25179i 1.25368 0.276183i
\(238\) 4.59709 2.65413i 0.297985 0.172042i
\(239\) 1.73807 + 1.73807i 0.112427 + 0.112427i 0.761082 0.648656i \(-0.224668\pi\)
−0.648656 + 0.761082i \(0.724668\pi\)
\(240\) −2.41583 + 1.25351i −0.155941 + 0.0809139i
\(241\) 6.48524 24.2033i 0.417751 1.55907i −0.361509 0.932368i \(-0.617738\pi\)
0.779261 0.626700i \(-0.215595\pi\)
\(242\) −3.51507 + 3.51507i −0.225958 + 0.225958i
\(243\) −7.28987 + 13.7789i −0.467646 + 0.883916i
\(244\) 2.46134 + 1.42106i 0.157571 + 0.0909737i
\(245\) −0.406698 1.51782i −0.0259830 0.0969698i
\(246\) 1.29227 1.18099i 0.0823923 0.0752970i
\(247\) −5.97576 18.2530i −0.380228 1.16141i
\(248\) 4.99133i 0.316950i
\(249\) −4.22546 2.69984i −0.267778 0.171095i
\(250\) 5.91682 10.2482i 0.374213 0.648155i
\(251\) −12.6205 21.8593i −0.796598 1.37975i −0.921820 0.387619i \(-0.873298\pi\)
0.125222 0.992129i \(-0.460036\pi\)
\(252\) −1.92223 2.30326i −0.121089 0.145092i
\(253\) 11.1890 + 2.99809i 0.703447 + 0.188488i
\(254\) −6.49489 1.74030i −0.407526 0.109196i
\(255\) 0.649410 14.4328i 0.0406676 0.903815i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 2.61336 4.52647i 0.163017 0.282354i −0.772932 0.634488i \(-0.781211\pi\)
0.935949 + 0.352135i \(0.114544\pi\)
\(258\) 0.695130 1.08794i 0.0432769 0.0677319i
\(259\) 9.59809i 0.596397i
\(260\) −1.76278 5.38441i −0.109323 0.333927i
\(261\) 24.5715 + 2.21570i 1.52094 + 0.137149i
\(262\) −2.62180 9.78469i −0.161975 0.604500i
\(263\) 10.8599 + 6.26995i 0.669648 + 0.386622i 0.795943 0.605371i \(-0.206975\pi\)
−0.126295 + 0.991993i \(0.540309\pi\)
\(264\) −6.59879 2.09026i −0.406127 0.128646i
\(265\) 8.42160 8.42160i 0.517335 0.517335i
\(266\) 1.37869 5.14536i 0.0845332 0.315482i
\(267\) 12.6608 + 24.4005i 0.774830 + 1.49329i
\(268\) −11.5282 11.5282i −0.704199 0.704199i
\(269\) −1.87678 + 1.08356i −0.114430 + 0.0660660i −0.556122 0.831100i \(-0.687711\pi\)
0.441693 + 0.897166i \(0.354378\pi\)
\(270\) −8.09937 + 1.03339i −0.492912 + 0.0628904i
\(271\) −10.3036 + 2.76085i −0.625900 + 0.167709i −0.557809 0.829970i \(-0.688358\pi\)
−0.0680916 + 0.997679i \(0.521691\pi\)
\(272\) 5.30827 0.321861
\(273\) 5.37803 3.17440i 0.325493 0.192123i
\(274\) 6.91976 0.418038
\(275\) 9.76952 2.61774i 0.589124 0.157855i
\(276\) 1.08009 + 4.90288i 0.0650139 + 0.295118i
\(277\) −28.0018 + 16.1669i −1.68247 + 0.971373i −0.722454 + 0.691419i \(0.756986\pi\)
−0.960013 + 0.279954i \(0.909681\pi\)
\(278\) −2.37305 2.37305i −0.142326 0.142326i
\(279\) −5.15887 + 14.0572i −0.308853 + 0.841585i
\(280\) 0.406698 1.51782i 0.0243048 0.0907069i
\(281\) −22.5530 + 22.5530i −1.34540 + 1.34540i −0.454807 + 0.890590i \(0.650292\pi\)
−0.890590 + 0.454807i \(0.849708\pi\)
\(282\) 3.49338 11.0283i 0.208028 0.656728i
\(283\) 13.8757 + 8.01114i 0.824824 + 0.476213i 0.852077 0.523416i \(-0.175343\pi\)
−0.0272529 + 0.999629i \(0.508676\pi\)
\(284\) 3.21485 + 11.9980i 0.190766 + 0.711949i
\(285\) −9.78046 10.7021i −0.579344 0.633936i
\(286\) 6.51300 12.8532i 0.385121 0.760026i
\(287\) 1.01073i 0.0596612i
\(288\) −0.513072 2.95580i −0.0302331 0.174172i
\(289\) −5.58884 + 9.68016i −0.328755 + 0.569421i
\(290\) 6.46123 + 11.1912i 0.379416 + 0.657169i
\(291\) 13.6607 + 0.614670i 0.800805 + 0.0360326i
\(292\) −5.02480 1.34639i −0.294054 0.0787916i
\(293\) −21.6857 5.81065i −1.26689 0.339462i −0.438051 0.898950i \(-0.644331\pi\)
−0.828838 + 0.559488i \(0.810998\pi\)
\(294\) 1.73030 + 0.0778557i 0.100913 + 0.00454064i
\(295\) −7.91451 13.7083i −0.460801 0.798130i
\(296\) 4.79905 8.31219i 0.278939 0.483136i
\(297\) −16.4240 12.7072i −0.953016 0.737344i
\(298\) 6.09310i 0.352964i
\(299\) −10.4353 + 0.570212i −0.603489 + 0.0329762i
\(300\) 2.95716 + 3.23581i 0.170732 + 0.186820i
\(301\) 0.192921 + 0.719990i 0.0111198 + 0.0414995i
\(302\) 3.99259 + 2.30513i 0.229748 + 0.132645i
\(303\) −2.96564 + 9.36231i −0.170372 + 0.537851i
\(304\) 3.76666 3.76666i 0.216033 0.216033i
\(305\) −1.15588 + 4.31380i −0.0661855 + 0.247008i
\(306\) 14.9499 + 5.48645i 0.854626 + 0.313639i
\(307\) 20.1181 + 20.1181i 1.14820 + 1.14820i 0.986906 + 0.161296i \(0.0515672\pi\)
0.161296 + 0.986906i \(0.448433\pi\)
\(308\) 3.46097 1.99819i 0.197207 0.113857i
\(309\) −3.01828 13.7009i −0.171704 0.779417i
\(310\) −7.57592 + 2.02996i −0.430283 + 0.115294i
\(311\) −23.3812 −1.32582 −0.662912 0.748697i \(-0.730680\pi\)
−0.662912 + 0.748697i \(0.730680\pi\)
\(312\) 6.24471 0.0600952i 0.353537 0.00340222i
\(313\) 19.0557 1.07709 0.538547 0.842596i \(-0.318974\pi\)
0.538547 + 0.842596i \(0.318974\pi\)
\(314\) 10.5848 2.83619i 0.597335 0.160056i
\(315\) 2.71416 3.85433i 0.152926 0.217167i
\(316\) −9.88149 + 5.70508i −0.555877 + 0.320936i
\(317\) 14.2156 + 14.2156i 0.798427 + 0.798427i 0.982847 0.184420i \(-0.0590408\pi\)
−0.184420 + 0.982847i \(0.559041\pi\)
\(318\) 6.04626 + 11.6526i 0.339058 + 0.653447i
\(319\) −8.50614 + 31.7454i −0.476253 + 1.77740i
\(320\) 1.11112 1.11112i 0.0621135 0.0621135i
\(321\) −0.158100 0.0500803i −0.00882427 0.00279521i
\(322\) −2.51022 1.44928i −0.139889 0.0807650i
\(323\) 7.31847 + 27.3129i 0.407211 + 1.51973i
\(324\) 1.61003 8.85482i 0.0894463 0.491934i
\(325\) −7.64180 + 4.98689i −0.423891 + 0.276623i
\(326\) 19.6309i 1.08726i
\(327\) 18.2563 28.5725i 1.00957 1.58007i
\(328\) −0.505363 + 0.875314i −0.0279040 + 0.0483311i
\(329\) 3.33951 + 5.78420i 0.184113 + 0.318893i
\(330\) 0.488915 10.8659i 0.0269139 0.598146i
\(331\) 22.9655 + 6.15358i 1.26230 + 0.338231i 0.827075 0.562092i \(-0.190003\pi\)
0.435222 + 0.900323i \(0.356670\pi\)
\(332\) 2.79639 + 0.749290i 0.153472 + 0.0411226i
\(333\) 22.1069 18.4498i 1.21145 1.01104i
\(334\) 4.06529 + 7.04129i 0.222443 + 0.385282i
\(335\) 12.8092 22.1863i 0.699844 1.21217i
\(336\) 1.45956 + 0.932575i 0.0796253 + 0.0508761i
\(337\) 4.32839i 0.235783i −0.993027 0.117891i \(-0.962387\pi\)
0.993027 0.117891i \(-0.0376135\pi\)
\(338\) −1.97640 + 12.8489i −0.107502 + 0.698887i
\(339\) 17.1402 15.6642i 0.930929 0.850761i
\(340\) 2.15886 + 8.05698i 0.117081 + 0.436951i
\(341\) −17.2748 9.97362i −0.935484 0.540102i
\(342\) 14.5013 6.71508i 0.784139 0.363110i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −0.192921 + 0.719990i −0.0104016 + 0.0388192i
\(345\) −7.00240 + 3.63337i −0.376996 + 0.195614i
\(346\) 0.184580 + 0.184580i 0.00992307 + 0.00992307i
\(347\) 8.83048 5.09828i 0.474045 0.273690i −0.243886 0.969804i \(-0.578422\pi\)
0.717931 + 0.696114i \(0.245089\pi\)
\(348\) −13.9104 + 3.06443i −0.745676 + 0.164271i
\(349\) 12.8081 3.43193i 0.685604 0.183707i 0.100831 0.994904i \(-0.467850\pi\)
0.584774 + 0.811197i \(0.301183\pi\)
\(350\) −2.53083 −0.135278
\(351\) 17.6493 + 6.28507i 0.942050 + 0.335472i
\(352\) 3.99638 0.213008
\(353\) −17.2129 + 4.61217i −0.916148 + 0.245481i −0.685938 0.727660i \(-0.740608\pi\)
−0.230210 + 0.973141i \(0.573941\pi\)
\(354\) 17.0392 3.75369i 0.905621 0.199506i
\(355\) −16.9033 + 9.75911i −0.897133 + 0.517960i
\(356\) −11.2226 11.2226i −0.594797 0.594797i
\(357\) −8.16099 + 4.23454i −0.431925 + 0.224115i
\(358\) −4.42318 + 16.5075i −0.233772 + 0.872450i
\(359\) −18.1970 + 18.1970i −0.960402 + 0.960402i −0.999245 0.0388433i \(-0.987633\pi\)
0.0388433 + 0.999245i \(0.487633\pi\)
\(360\) 4.27770 1.98087i 0.225455 0.104401i
\(361\) 8.11941 + 4.68774i 0.427337 + 0.246723i
\(362\) 2.60163 + 9.70942i 0.136739 + 0.510316i
\(363\) 6.35580 5.80847i 0.333593 0.304865i
\(364\) −2.40661 + 2.68482i −0.126141 + 0.140723i
\(365\) 8.17430i 0.427863i
\(366\) −4.14822 2.65048i −0.216831 0.138543i
\(367\) 17.1515 29.7072i 0.895299 1.55070i 0.0618644 0.998085i \(-0.480295\pi\)
0.833434 0.552618i \(-0.186371\pi\)
\(368\) −1.44928 2.51022i −0.0755487 0.130854i
\(369\) −2.32797 + 1.94285i −0.121189 + 0.101141i
\(370\) 14.5682 + 3.90352i 0.757362 + 0.202935i
\(371\) −7.32112 1.96169i −0.380094 0.101846i
\(372\) 0.388603 8.63649i 0.0201481 0.447781i
\(373\) −12.4609 21.5828i −0.645198 1.11752i −0.984256 0.176751i \(-0.943441\pi\)
0.339057 0.940766i \(-0.389892\pi\)
\(374\) −10.6069 + 18.3717i −0.548471 + 0.949980i
\(375\) −11.0358 + 17.2719i −0.569884 + 0.891915i
\(376\) 6.67902i 0.344444i
\(377\) −1.61780 29.6070i −0.0833209 1.52484i
\(378\) 3.14672 + 4.13499i 0.161850 + 0.212681i
\(379\) 4.21119 + 15.7164i 0.216314 + 0.807296i 0.985700 + 0.168511i \(0.0538959\pi\)
−0.769385 + 0.638785i \(0.779437\pi\)
\(380\) 7.24900 + 4.18521i 0.371866 + 0.214697i
\(381\) 11.1026 + 3.51691i 0.568804 + 0.180177i
\(382\) 11.3780 11.3780i 0.582151 0.582151i
\(383\) −3.19097 + 11.9089i −0.163051 + 0.608514i 0.835230 + 0.549901i \(0.185335\pi\)
−0.998281 + 0.0586132i \(0.981332\pi\)
\(384\) 0.797725 + 1.53741i 0.0407087 + 0.0784557i
\(385\) 4.44046 + 4.44046i 0.226307 + 0.226307i
\(386\) 1.22253 0.705830i 0.0622253 0.0359258i
\(387\) −1.28749 + 1.82834i −0.0654466 + 0.0929395i
\(388\) −7.62598 + 2.04337i −0.387150 + 0.103737i
\(389\) −3.19617 −0.162052 −0.0810262 0.996712i \(-0.525820\pi\)
−0.0810262 + 0.996712i \(0.525820\pi\)
\(390\) 2.63092 + 9.45389i 0.133222 + 0.478716i
\(391\) 15.3863 0.778118
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) 3.77471 + 17.1346i 0.190409 + 0.864325i
\(394\) −0.784097 + 0.452699i −0.0395022 + 0.0228066i
\(395\) −12.6780 12.6780i −0.637902 0.637902i
\(396\) 11.2551 + 4.13053i 0.565592 + 0.207567i
\(397\) −1.65482 + 6.17587i −0.0830530 + 0.309958i −0.994938 0.100487i \(-0.967960\pi\)
0.911885 + 0.410445i \(0.134627\pi\)
\(398\) 5.25316 5.25316i 0.263317 0.263317i
\(399\) −2.78615 + 8.79567i −0.139482 + 0.440334i
\(400\) −2.19176 1.26541i −0.109588 0.0632707i
\(401\) −1.69247 6.31637i −0.0845177 0.315424i 0.910705 0.413058i \(-0.135539\pi\)
−0.995222 + 0.0976337i \(0.968873\pi\)
\(402\) 19.0498 + 20.8448i 0.950116 + 1.03965i
\(403\) 17.6115 + 3.70244i 0.877292 + 0.184432i
\(404\) 5.67003i 0.282095i
\(405\) 14.0948 1.15750i 0.700376 0.0575166i
\(406\) 4.11187 7.12197i 0.204069 0.353457i
\(407\) 19.1788 + 33.2187i 0.950659 + 1.64659i
\(408\) −9.18489 0.413279i −0.454720 0.0204604i
\(409\) −1.01716 0.272547i −0.0502953 0.0134766i 0.233584 0.972337i \(-0.424955\pi\)
−0.283879 + 0.958860i \(0.591621\pi\)
\(410\) −1.53410 0.411060i −0.0757636 0.0203008i
\(411\) −11.9733 0.538743i −0.590598 0.0265742i
\(412\) 4.04995 + 7.01471i 0.199526 + 0.345590i
\(413\) −5.03673 + 8.72387i −0.247841 + 0.429273i
\(414\) −1.48717 8.56754i −0.0730902 0.421072i
\(415\) 4.54914i 0.223308i
\(416\) −3.42659 + 1.12182i −0.168002 + 0.0550015i
\(417\) 3.92133 + 4.29084i 0.192028 + 0.210123i
\(418\) 5.50979 + 20.5628i 0.269493 + 1.00576i
\(419\) −4.25679 2.45766i −0.207958 0.120065i 0.392404 0.919793i \(-0.371644\pi\)
−0.600362 + 0.799728i \(0.704977\pi\)
\(420\) −0.821880 + 2.59462i −0.0401036 + 0.126604i
\(421\) 2.58462 2.58462i 0.125967 0.125967i −0.641313 0.767280i \(-0.721610\pi\)
0.767280 + 0.641313i \(0.221610\pi\)
\(422\) 2.91896 10.8937i 0.142093 0.530297i
\(423\) −6.90321 + 18.8103i −0.335645 + 0.914590i
\(424\) −5.35943 5.35943i −0.260277 0.260277i
\(425\) 11.6345 6.71715i 0.564354 0.325830i
\(426\) −4.62854 21.0104i −0.224254 1.01796i
\(427\) 2.74527 0.735592i 0.132853 0.0355978i
\(428\) 0.0957490 0.00462820
\(429\) −12.2701 + 21.7328i −0.592408 + 1.04927i
\(430\) −1.17127 −0.0564838
\(431\) −23.6762 + 6.34401i −1.14044 + 0.305580i −0.779128 0.626865i \(-0.784338\pi\)
−0.361312 + 0.932445i \(0.617671\pi\)
\(432\) 0.657643 + 5.15437i 0.0316409 + 0.247990i
\(433\) −12.6415 + 7.29859i −0.607513 + 0.350748i −0.771991 0.635633i \(-0.780739\pi\)
0.164478 + 0.986381i \(0.447406\pi\)
\(434\) 3.52940 + 3.52940i 0.169417 + 0.169417i
\(435\) −10.3086 19.8671i −0.494258 0.952557i
\(436\) −5.06669 + 18.9091i −0.242650 + 0.905584i
\(437\) 10.9179 10.9179i 0.522272 0.522272i
\(438\) 8.58959 + 2.72087i 0.410426 + 0.130008i
\(439\) 16.7352 + 9.66208i 0.798728 + 0.461146i 0.843026 0.537872i \(-0.180772\pi\)
−0.0442980 + 0.999018i \(0.514105\pi\)
\(440\) 1.62532 + 6.06578i 0.0774841 + 0.289175i
\(441\) −2.98788 0.269428i −0.142280 0.0128299i
\(442\) 3.93754 18.7298i 0.187290 0.890886i
\(443\) 24.5657i 1.16715i −0.812059 0.583575i \(-0.801653\pi\)
0.812059 0.583575i \(-0.198347\pi\)
\(444\) −8.95094 + 14.0090i −0.424793 + 0.664836i
\(445\) 12.4697 21.5981i 0.591119 1.02385i
\(446\) −9.94424 17.2239i −0.470873 0.815577i
\(447\) −0.474383 + 10.5429i −0.0224375 + 0.498662i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) −0.650620 0.174333i −0.0307047 0.00822729i 0.243434 0.969917i \(-0.421726\pi\)
−0.274139 + 0.961690i \(0.588393\pi\)
\(450\) −4.86484 5.82916i −0.229331 0.274789i
\(451\) −2.01962 3.49809i −0.0951003 0.164719i
\(452\) −6.70295 + 11.6098i −0.315280 + 0.546081i
\(453\) −6.72892 4.29940i −0.316152 0.202004i
\(454\) 4.85650i 0.227927i
\(455\) −5.05382 2.56088i −0.236927 0.120056i
\(456\) −6.81071 + 6.22420i −0.318941 + 0.291475i
\(457\) −1.47784 5.51537i −0.0691304 0.257998i 0.922708 0.385500i \(-0.125971\pi\)
−0.991838 + 0.127502i \(0.959304\pi\)
\(458\) 8.73204 + 5.04144i 0.408021 + 0.235571i
\(459\) −25.4406 10.6571i −1.18746 0.497432i
\(460\) 3.22064 3.22064i 0.150163 0.150163i
\(461\) −0.767948 + 2.86602i −0.0357669 + 0.133484i −0.981501 0.191458i \(-0.938678\pi\)
0.945734 + 0.324942i \(0.105345\pi\)
\(462\) −6.14408 + 3.18801i −0.285849 + 0.148320i
\(463\) −10.0952 10.0952i −0.469164 0.469164i 0.432479 0.901644i \(-0.357639\pi\)
−0.901644 + 0.432479i \(0.857639\pi\)
\(464\) 7.12197 4.11187i 0.330629 0.190889i
\(465\) 13.2667 2.92261i 0.615227 0.135533i
\(466\) −7.50177 + 2.01009i −0.347513 + 0.0931157i
\(467\) −7.17468 −0.332004 −0.166002 0.986125i \(-0.553086\pi\)
−0.166002 + 0.986125i \(0.553086\pi\)
\(468\) −10.8099 0.382204i −0.499688 0.0176674i
\(469\) −16.3034 −0.752821
\(470\) −10.1375 + 2.71634i −0.467609 + 0.125296i
\(471\) −18.5357 + 4.08337i −0.854081 + 0.188152i
\(472\) −8.72387 + 5.03673i −0.401548 + 0.231834i
\(473\) −2.10637 2.10637i −0.0968509 0.0968509i
\(474\) 17.5421 9.10217i 0.805736 0.418077i
\(475\) 3.48924 13.0220i 0.160097 0.597491i
\(476\) 3.75351 3.75351i 0.172042 0.172042i
\(477\) −9.55463 20.6333i −0.437476 0.944733i
\(478\) 2.12869 + 1.22900i 0.0973642 + 0.0562133i
\(479\) 5.40790 + 20.1825i 0.247093 + 0.922164i 0.972320 + 0.233654i \(0.0750682\pi\)
−0.725227 + 0.688510i \(0.758265\pi\)
\(480\) −2.00908 + 1.83606i −0.0917014 + 0.0838044i
\(481\) −25.7691 23.0989i −1.17497 1.05322i
\(482\) 25.0571i 1.14132i
\(483\) 4.23060 + 2.70312i 0.192499 + 0.122996i
\(484\) −2.48553 + 4.30507i −0.112979 + 0.195685i
\(485\) −6.20294 10.7438i −0.281661 0.487851i
\(486\) −3.47524 + 15.1961i −0.157640 + 0.689311i
\(487\) −4.98694 1.33625i −0.225980 0.0605511i 0.144052 0.989570i \(-0.453987\pi\)
−0.370032 + 0.929019i \(0.620653\pi\)
\(488\) 2.74527 + 0.735592i 0.124272 + 0.0332987i
\(489\) −1.52838 + 33.9674i −0.0691158 + 1.53606i
\(490\) −0.785680 1.36084i −0.0354934 0.0614764i
\(491\) 5.19814 9.00345i 0.234589 0.406320i −0.724564 0.689207i \(-0.757959\pi\)
0.959153 + 0.282887i \(0.0912923\pi\)
\(492\) 0.942577 1.47521i 0.0424947 0.0665076i
\(493\) 43.6538i 1.96607i
\(494\) −10.4964 16.0844i −0.472254 0.723671i
\(495\) −1.69194 + 18.7631i −0.0760470 + 0.843340i
\(496\) 1.29185 + 4.82125i 0.0580058 + 0.216481i
\(497\) 10.7571 + 6.21061i 0.482522 + 0.278584i
\(498\) −4.78025 1.51421i −0.214208 0.0678534i
\(499\) −10.5815 + 10.5815i −0.473694 + 0.473694i −0.903108 0.429414i \(-0.858720\pi\)
0.429414 + 0.903108i \(0.358720\pi\)
\(500\) 3.06277 11.4304i 0.136971 0.511184i
\(501\) −6.48597 12.5001i −0.289772 0.558461i
\(502\) −17.8481 17.8481i −0.796598 0.796598i
\(503\) 15.2729 8.81781i 0.680985 0.393167i −0.119241 0.992865i \(-0.538046\pi\)
0.800226 + 0.599699i \(0.204713\pi\)
\(504\) −2.45286 1.72727i −0.109259 0.0769387i
\(505\) 8.60607 2.30599i 0.382965 0.102615i
\(506\) 11.5837 0.514959
\(507\) 4.42013 22.0786i 0.196305 0.980543i
\(508\) −6.72401 −0.298330
\(509\) −0.543031 + 0.145505i −0.0240694 + 0.00644939i −0.270834 0.962626i \(-0.587299\pi\)
0.246764 + 0.969076i \(0.420633\pi\)
\(510\) −3.10819 14.1091i −0.137633 0.624760i
\(511\) −4.50511 + 2.60103i −0.199294 + 0.115063i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −25.6144 + 10.4901i −1.13090 + 0.463149i
\(514\) 1.35278 5.04863i 0.0596684 0.222685i
\(515\) −8.99994 + 8.99994i −0.396585 + 0.396585i
\(516\) 0.389866 1.23078i 0.0171629 0.0541820i
\(517\) −23.1159 13.3460i −1.01663 0.586954i
\(518\) −2.48417 9.27105i −0.109148 0.407346i
\(519\) −0.305008 0.333749i −0.0133884 0.0146500i
\(520\) −3.09630 4.74470i −0.135782 0.208069i
\(521\) 20.5663i 0.901026i −0.892770 0.450513i \(-0.851241\pi\)
0.892770 0.450513i \(-0.148759\pi\)
\(522\) 24.3077 4.21938i 1.06392 0.184677i
\(523\) 18.2060 31.5337i 0.796092 1.37887i −0.126051 0.992024i \(-0.540230\pi\)
0.922143 0.386849i \(-0.126436\pi\)
\(524\) −5.06493 8.77272i −0.221262 0.383238i
\(525\) 4.37909 + 0.197039i 0.191119 + 0.00859951i
\(526\) 12.1126 + 3.24556i 0.528135 + 0.141513i
\(527\) −25.5925 6.85748i −1.11483 0.298717i
\(528\) −6.91494 0.311141i −0.300934 0.0135407i
\(529\) 7.29920 + 12.6426i 0.317357 + 0.549678i
\(530\) 5.95497 10.3143i 0.258667 0.448025i
\(531\) −29.7751 + 5.16841i −1.29213 + 0.224290i
\(532\) 5.32686i 0.230949i
\(533\) 2.71361 + 2.43242i 0.117540 + 0.105360i
\(534\) 18.5447 + 20.2922i 0.802509 + 0.878131i
\(535\) 0.0389409 + 0.145329i 0.00168356 + 0.00628314i
\(536\) −14.1191 8.15169i −0.609854 0.352100i
\(537\) 8.93863 28.2186i 0.385730 1.21772i
\(538\) −1.53239 + 1.53239i −0.0660660 + 0.0660660i
\(539\) 1.03434 3.86021i 0.0445522 0.166271i
\(540\) −7.55593 + 3.09445i −0.325155 + 0.133164i
\(541\) 8.45294 + 8.45294i 0.363420 + 0.363420i 0.865070 0.501650i \(-0.167274\pi\)
−0.501650 + 0.865070i \(0.667274\pi\)
\(542\) −9.23797 + 5.33354i −0.396805 + 0.229095i
\(543\) −3.74567 17.0028i −0.160742 0.729658i
\(544\) 5.12739 1.37388i 0.219835 0.0589046i
\(545\) −30.7612 −1.31767
\(546\) 4.37318 4.45817i 0.187155 0.190792i
\(547\) −7.76093 −0.331833 −0.165917 0.986140i \(-0.553058\pi\)
−0.165917 + 0.986140i \(0.553058\pi\)
\(548\) 6.68398 1.79097i 0.285525 0.0765063i
\(549\) 6.97131 + 4.90909i 0.297528 + 0.209515i
\(550\) 8.75911 5.05708i 0.373490 0.215634i
\(551\) 30.9761 + 30.9761i 1.31962 + 1.31962i
\(552\) 2.31225 + 4.45627i 0.0984158 + 0.189671i
\(553\) −2.95317 + 11.0214i −0.125581 + 0.468676i
\(554\) −22.8634 + 22.8634i −0.971373 + 0.971373i
\(555\) −24.9034 7.88848i −1.05709 0.334847i
\(556\) −2.90638 1.67800i −0.123258 0.0711629i
\(557\) −0.804689 3.00314i −0.0340958 0.127247i 0.946780 0.321881i \(-0.104315\pi\)
−0.980876 + 0.194633i \(0.937648\pi\)
\(558\) −1.34480 + 14.9135i −0.0569300 + 0.631337i
\(559\) 2.39732 + 1.21478i 0.101396 + 0.0513796i
\(560\) 1.57136i 0.0664021i
\(561\) 19.7835 30.9628i 0.835261 1.30725i
\(562\) −15.9474 + 27.6216i −0.672699 + 1.16515i
\(563\) −13.6658 23.6698i −0.575943 0.997563i −0.995938 0.0900370i \(-0.971301\pi\)
0.419995 0.907526i \(-0.362032\pi\)
\(564\) 0.520000 11.5567i 0.0218959 0.486625i
\(565\) −20.3477 5.45215i −0.856034 0.229374i
\(566\) 15.4763 + 4.14687i 0.650519 + 0.174306i
\(567\) −5.12284 7.39977i −0.215139 0.310761i
\(568\) 6.21061 + 10.7571i 0.260592 + 0.451358i
\(569\) −15.9756 + 27.6705i −0.669732 + 1.16001i 0.308247 + 0.951306i \(0.400258\pi\)
−0.977979 + 0.208703i \(0.933076\pi\)
\(570\) −12.2171 7.80605i −0.511718 0.326959i
\(571\) 25.3767i 1.06198i −0.847377 0.530992i \(-0.821819\pi\)
0.847377 0.530992i \(-0.178181\pi\)
\(572\) 2.96442 14.1009i 0.123949 0.589589i
\(573\) −20.5733 + 18.8016i −0.859460 + 0.785447i
\(574\) 0.261595 + 0.976286i 0.0109188 + 0.0407494i
\(575\) −6.35293 3.66787i −0.264936 0.152961i
\(576\) −1.26061 2.72229i −0.0525253 0.113429i
\(577\) −28.9938 + 28.9938i −1.20703 + 1.20703i −0.235042 + 0.971985i \(0.575523\pi\)
−0.971985 + 0.235042i \(0.924477\pi\)
\(578\) −2.89300 + 10.7968i −0.120333 + 0.449088i
\(579\) −2.17030 + 1.12612i −0.0901947 + 0.0467998i
\(580\) 9.13756 + 9.13756i 0.379416 + 0.379416i
\(581\) 2.50717 1.44752i 0.104015 0.0600531i
\(582\) 13.3543 2.94192i 0.553554 0.121947i
\(583\) 29.2580 7.83966i 1.21174 0.324685i
\(584\) −5.20206 −0.215263
\(585\) −3.81625 16.5629i −0.157782 0.684791i
\(586\) −22.4506 −0.927427
\(587\) 7.88933 2.11394i 0.325628 0.0872517i −0.0923020 0.995731i \(-0.529423\pi\)
0.417930 + 0.908479i \(0.362756\pi\)
\(588\) 1.69149 0.372632i 0.0697560 0.0153671i
\(589\) −23.0260 + 13.2941i −0.948769 + 0.547772i
\(590\) −11.1928 11.1928i −0.460801 0.460801i
\(591\) 1.39197 0.722258i 0.0572579 0.0297097i
\(592\) 2.48417 9.27105i 0.102099 0.381038i
\(593\) 22.7385 22.7385i 0.933760 0.933760i −0.0641782 0.997938i \(-0.520443\pi\)
0.997938 + 0.0641782i \(0.0204426\pi\)
\(594\) −19.1532 8.02333i −0.785865 0.329201i
\(595\) 7.22369 + 4.17060i 0.296142 + 0.170978i
\(596\) −1.57701 5.88548i −0.0645969 0.241079i
\(597\) −9.49853 + 8.68055i −0.388749 + 0.355271i
\(598\) −9.93215 + 3.25164i −0.406156 + 0.132969i
\(599\) 3.61810i 0.147832i 0.997264 + 0.0739158i \(0.0235496\pi\)
−0.997264 + 0.0739158i \(0.976450\pi\)
\(600\) 3.69389 + 2.36019i 0.150802 + 0.0963542i
\(601\) 15.1258 26.1987i 0.616996 1.06867i −0.373035 0.927817i \(-0.621683\pi\)
0.990031 0.140851i \(-0.0449838\pi\)
\(602\) 0.372694 + 0.645525i 0.0151899 + 0.0263096i
\(603\) −31.3389 37.5510i −1.27622 1.52919i
\(604\) 4.45316 + 1.19322i 0.181197 + 0.0485515i
\(605\) −7.54517 2.02172i −0.306755 0.0821947i
\(606\) −0.441445 + 9.81086i −0.0179325 + 0.398539i
\(607\) −12.4211 21.5140i −0.504158 0.873228i −0.999988 0.00480819i \(-0.998470\pi\)
0.495830 0.868419i \(-0.334864\pi\)
\(608\) 2.66343 4.61320i 0.108016 0.187090i
\(609\) −7.66926 + 12.0030i −0.310774 + 0.486387i
\(610\) 4.46598i 0.180822i
\(611\) 23.5664 + 4.95433i 0.953394 + 0.200431i
\(612\) 15.8604 + 1.43019i 0.641120 + 0.0578121i
\(613\) 12.0279 + 44.8888i 0.485803 + 1.81304i 0.576417 + 0.817156i \(0.304450\pi\)
−0.0906138 + 0.995886i \(0.528883\pi\)
\(614\) 24.6396 + 14.2257i 0.994372 + 0.574101i
\(615\) 2.62244 + 0.830695i 0.105747 + 0.0334969i
\(616\) 2.82587 2.82587i 0.113857 0.113857i
\(617\) −5.72544 + 21.3676i −0.230497 + 0.860228i 0.749630 + 0.661857i \(0.230232\pi\)
−0.980127 + 0.198371i \(0.936435\pi\)
\(618\) −6.46148 12.4529i −0.259919 0.500928i
\(619\) −24.2571 24.2571i −0.974975 0.974975i 0.0247195 0.999694i \(-0.492131\pi\)
−0.999694 + 0.0247195i \(0.992131\pi\)
\(620\) −6.79238 + 3.92159i −0.272789 + 0.157495i
\(621\) 1.90621 + 14.9402i 0.0764937 + 0.599529i
\(622\) −22.5845 + 6.05149i −0.905554 + 0.242643i
\(623\) −15.8712 −0.635865
\(624\) 6.01637 1.67430i 0.240848 0.0670255i
\(625\) 5.94077 0.237631
\(626\) 18.4064 4.93198i 0.735668 0.197122i
\(627\) −7.93265 36.0088i −0.316800 1.43805i
\(628\) 9.49008 5.47910i 0.378695 0.218640i
\(629\) 36.0266 + 36.0266i 1.43647 + 1.43647i
\(630\) 1.62410 4.42548i 0.0647059 0.176315i
\(631\) −7.35156 + 27.4364i −0.292661 + 1.09223i 0.650396 + 0.759595i \(0.274603\pi\)
−0.943057 + 0.332631i \(0.892064\pi\)
\(632\) −8.06820 + 8.06820i −0.320936 + 0.320936i
\(633\) −5.89881 + 18.6221i −0.234457 + 0.740163i
\(634\) 17.4105 + 10.0519i 0.691458 + 0.399214i
\(635\) −2.73464 10.2058i −0.108521 0.405005i
\(636\) 8.85617 + 9.69069i 0.351170 + 0.384261i
\(637\) 0.196723 + 3.60018i 0.00779445 + 0.142644i
\(638\) 32.8652i 1.30115i
\(639\) 6.37299 + 36.7147i 0.252112 + 1.45241i
\(640\) 0.785680 1.36084i 0.0310567 0.0537918i
\(641\) 12.7231 + 22.0370i 0.502532 + 0.870411i 0.999996 + 0.00292593i \(0.000931354\pi\)
−0.497464 + 0.867485i \(0.665735\pi\)
\(642\) −0.165674 0.00745461i −0.00653865 0.000294210i
\(643\) −25.2271 6.75959i −0.994860 0.266572i −0.275570 0.961281i \(-0.588866\pi\)
−0.719291 + 0.694709i \(0.755533\pi\)
\(644\) −2.79979 0.750200i −0.110327 0.0295620i
\(645\) 2.02665 + 0.0911903i 0.0797994 + 0.00359061i
\(646\) 14.1382 + 24.4881i 0.556260 + 0.963471i
\(647\) −8.70102 + 15.0706i −0.342073 + 0.592487i −0.984817 0.173593i \(-0.944462\pi\)
0.642745 + 0.766080i \(0.277796\pi\)
\(648\) −0.736623 8.96980i −0.0289373 0.352367i
\(649\) 40.2574i 1.58024i
\(650\) −6.09071 + 6.79481i −0.238897 + 0.266514i
\(651\) −5.83214 6.38171i −0.228580 0.250119i
\(652\) −5.08086 18.9620i −0.198982 0.742611i
\(653\) −37.7870 21.8163i −1.47872 0.853739i −0.479008 0.877810i \(-0.659004\pi\)
−0.999710 + 0.0240717i \(0.992337\pi\)
\(654\) 10.2391 32.3240i 0.400380 1.26397i
\(655\) 11.2555 11.2555i 0.439788 0.439788i
\(656\) −0.261595 + 0.976286i −0.0102136 + 0.0381176i
\(657\) −14.6507 5.37667i −0.571579 0.209764i
\(658\) 4.72278 + 4.72278i 0.184113 + 0.184113i
\(659\) 23.8896 13.7927i 0.930608 0.537287i 0.0436042 0.999049i \(-0.486116\pi\)
0.887004 + 0.461762i \(0.152783\pi\)
\(660\) −2.34004 10.6222i −0.0910858 0.413467i
\(661\) −14.3184 + 3.83659i −0.556920 + 0.149226i −0.526291 0.850305i \(-0.676418\pi\)
−0.0306290 + 0.999531i \(0.509751\pi\)
\(662\) 23.7756 0.924065
\(663\) −8.27135 + 32.1016i −0.321233 + 1.24672i
\(664\) 2.89503 0.112349
\(665\) 8.08521 2.16642i 0.313531 0.0840103i
\(666\) 16.5785 23.5428i 0.642404 0.912266i
\(667\) 20.6434 11.9185i 0.799315 0.461485i
\(668\) 5.74919 + 5.74919i 0.222443 + 0.222443i
\(669\) 15.8655 + 30.5768i 0.613397 + 1.18217i
\(670\) 6.63055 24.7456i 0.256161 0.956005i
\(671\) −8.03143 + 8.03143i −0.310050 + 0.310050i
\(672\) 1.65119 + 0.523037i 0.0636961 + 0.0201766i
\(673\) −25.3872 14.6573i −0.978605 0.564998i −0.0767560 0.997050i \(-0.524456\pi\)
−0.901849 + 0.432052i \(0.857790\pi\)
\(674\) −1.12027 4.18091i −0.0431512 0.161043i
\(675\) 7.96381 + 10.4650i 0.306527 + 0.402796i
\(676\) 1.41648 + 12.9226i 0.0544799 + 0.497023i
\(677\) 25.7483i 0.989587i −0.869011 0.494794i \(-0.835244\pi\)
0.869011 0.494794i \(-0.164756\pi\)
\(678\) 12.5020 19.5667i 0.480137 0.751453i
\(679\) −3.94750 + 6.83726i −0.151491 + 0.262390i
\(680\) 4.17060 + 7.22369i 0.159935 + 0.277016i
\(681\) 0.378106 8.40320i 0.0144891 0.322011i
\(682\) −19.2676 5.16273i −0.737793 0.197691i
\(683\) −6.65558 1.78336i −0.254669 0.0682383i 0.129226 0.991615i \(-0.458751\pi\)
−0.383895 + 0.923377i \(0.625417\pi\)
\(684\) 12.2692 10.2395i 0.469123 0.391516i
\(685\) 5.43672 + 9.41667i 0.207726 + 0.359793i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) −14.7165 9.40305i −0.561471 0.358749i
\(688\) 0.745388i 0.0284177i
\(689\) −22.8858 + 14.9349i −0.871881 + 0.568973i
\(690\) −5.82341 + 5.32192i −0.221693 + 0.202602i
\(691\) 11.6304 + 43.4052i 0.442441 + 1.65121i 0.722605 + 0.691261i \(0.242945\pi\)
−0.280164 + 0.959952i \(0.590389\pi\)
\(692\) 0.226063 + 0.130518i 0.00859363 + 0.00496153i
\(693\) 10.8793 5.03787i 0.413271 0.191373i
\(694\) 7.21006 7.21006i 0.273690 0.273690i
\(695\) 1.36488 5.09378i 0.0517727 0.193218i
\(696\) −12.6433 + 6.56029i −0.479242 + 0.248667i
\(697\) −3.79377 3.79377i −0.143699 0.143699i
\(698\) 11.4835 6.62998i 0.434656 0.250949i
\(699\) 13.1368 2.89401i 0.496880 0.109461i
\(700\) −2.44459 + 0.655026i −0.0923969 + 0.0247577i
\(701\) −2.97339 −0.112303 −0.0561516 0.998422i \(-0.517883\pi\)
−0.0561516 + 0.998422i \(0.517883\pi\)
\(702\) 18.6746 + 1.50294i 0.704828 + 0.0567248i
\(703\) 51.1278 1.92832
\(704\) 3.86021 1.03434i 0.145487 0.0389831i
\(705\) 17.7524 3.91082i 0.668596 0.147290i
\(706\) −15.4326 + 8.91003i −0.580814 + 0.335333i
\(707\) −4.00932 4.00932i −0.150786 0.150786i
\(708\) 15.4870 8.03584i 0.582039 0.302006i
\(709\) 2.22590 8.30716i 0.0835953 0.311982i −0.911449 0.411413i \(-0.865035\pi\)
0.995044 + 0.0994307i \(0.0317022\pi\)
\(710\) −13.8015 + 13.8015i −0.517960 + 0.517960i
\(711\) −31.0618 + 14.3837i −1.16491 + 0.539432i
\(712\) −13.7448 7.93558i −0.515109 0.297399i
\(713\) 3.74449 + 13.9746i 0.140232 + 0.523354i
\(714\) −6.78693 + 6.20247i −0.253995 + 0.232122i
\(715\) 22.6082 1.23537i 0.845501 0.0462003i
\(716\) 17.0898i 0.638677i
\(717\) −3.58760 2.29227i −0.133981 0.0856065i
\(718\) −12.8672 + 22.2867i −0.480201 + 0.831733i
\(719\) −0.0484197 0.0838654i −0.00180575 0.00312765i 0.865121 0.501563i \(-0.167241\pi\)
−0.866927 + 0.498435i \(0.833908\pi\)
\(720\) 3.61925 3.02052i 0.134882 0.112568i
\(721\) 7.82389 + 2.09641i 0.291377 + 0.0780742i
\(722\) 9.05602 + 2.42655i 0.337030 + 0.0903070i
\(723\) −1.95083 + 43.3562i −0.0725523 + 1.61244i
\(724\) 5.02597 + 8.70523i 0.186789 + 0.323527i
\(725\) 10.4064 18.0245i 0.386485 0.669412i
\(726\) 4.63589 7.25555i 0.172054 0.269279i
\(727\) 6.46092i 0.239622i 0.992797 + 0.119811i \(0.0382289\pi\)
−0.992797 + 0.119811i \(0.961771\pi\)
\(728\) −1.62972 + 3.21621i −0.0604016 + 0.119201i
\(729\) 7.19631 26.0233i 0.266530 0.963827i
\(730\) −2.11567 7.89577i −0.0783043 0.292236i
\(731\) −3.42662 1.97836i −0.126738 0.0731722i
\(732\) −4.69287 1.48653i −0.173453 0.0549437i
\(733\) 16.3697 16.3697i 0.604627 0.604627i −0.336910 0.941537i \(-0.609382\pi\)
0.941537 + 0.336910i \(0.109382\pi\)
\(734\) 8.87825 33.1341i 0.327702 1.22300i
\(735\) 1.25351 + 2.41583i 0.0462365 + 0.0891091i
\(736\) −2.04959 2.04959i −0.0755487 0.0755487i
\(737\) 56.4255 32.5773i 2.07846 1.20000i
\(738\) −1.74580 + 2.47917i −0.0642636 + 0.0912596i
\(739\) 38.1176 10.2136i 1.40218 0.375713i 0.523052 0.852301i \(-0.324793\pi\)
0.879127 + 0.476588i \(0.158127\pi\)
\(740\) 15.0821 0.554428
\(741\) 16.9096 + 28.6480i 0.621189 + 1.05241i
\(742\) −7.57938 −0.278248
\(743\) 9.97404 2.67254i 0.365912 0.0980458i −0.0711779 0.997464i \(-0.522676\pi\)
0.437090 + 0.899418i \(0.356009\pi\)
\(744\) −1.85993 8.44279i −0.0681882 0.309528i
\(745\) 8.29172 4.78723i 0.303785 0.175390i
\(746\) −17.6223 17.6223i −0.645198 0.645198i
\(747\) 8.15338 + 2.99221i 0.298317 + 0.109479i
\(748\) −5.49055 + 20.4910i −0.200754 + 0.749226i
\(749\) 0.0677047 0.0677047i 0.00247388 0.00247388i
\(750\) −6.18944 + 19.5396i −0.226006 + 0.713485i
\(751\) −6.29890 3.63667i −0.229850 0.132704i 0.380653 0.924718i \(-0.375699\pi\)
−0.610503 + 0.792014i \(0.709033\pi\)
\(752\) 1.72866 + 6.45143i 0.0630376 + 0.235260i
\(753\) 29.4929 + 32.2721i 1.07478 + 1.17606i
\(754\) −9.22552 28.1794i −0.335974 1.02623i
\(755\) 7.24436i 0.263649i
\(756\) 4.10971 + 3.17966i 0.149469 + 0.115643i
\(757\) 26.2728 45.5058i 0.954901 1.65394i 0.220308 0.975430i \(-0.429294\pi\)
0.734594 0.678507i \(-0.237373\pi\)
\(758\) 8.13540 + 14.0909i 0.295491 + 0.511805i
\(759\) −20.0433 0.901859i −0.727526 0.0327354i
\(760\) 8.08521 + 2.16642i 0.293281 + 0.0785845i
\(761\) 10.2974 + 2.75919i 0.373282 + 0.100021i 0.440582 0.897712i \(-0.354772\pi\)
−0.0673005 + 0.997733i \(0.521439\pi\)
\(762\) 11.6345 + 0.523502i 0.421475 + 0.0189645i
\(763\) 9.78809 + 16.9535i 0.354353 + 0.613757i
\(764\) 8.04548 13.9352i 0.291075 0.504157i
\(765\) 4.27964 + 24.6549i 0.154731 + 0.891400i
\(766\) 12.3290i 0.445463i
\(767\) 11.3006 + 34.5176i 0.408039 + 1.24636i
\(768\) 1.16845 + 1.27856i 0.0421630 + 0.0461360i
\(769\) 4.23085 + 15.7897i 0.152568 + 0.569393i 0.999301 + 0.0373747i \(0.0118995\pi\)
−0.846733 + 0.532018i \(0.821434\pi\)
\(770\) 5.43843 + 3.13988i 0.195987 + 0.113153i
\(771\) −2.73377 + 8.63032i −0.0984544 + 0.310813i
\(772\) 0.998195 0.998195i 0.0359258 0.0359258i
\(773\) −9.31158 + 34.7513i −0.334914 + 1.24992i 0.569048 + 0.822304i \(0.307312\pi\)
−0.903962 + 0.427613i \(0.859355\pi\)