Properties

Label 546.2.bu.a.71.5
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 71.5
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.523037 + 1.65119i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.11112 - 1.11112i) q^{5} +(-0.932575 - 1.45956i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.45286 + 1.72727i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.523037 + 1.65119i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.11112 - 1.11112i) q^{5} +(-0.932575 - 1.45956i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.45286 + 1.72727i) 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} +(1.25351 - 2.41583i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.65413 - 4.59709i) q^{17} +(1.92223 - 2.30326i) q^{18} +(5.14536 + 1.37869i) q^{19} +(-1.51782 - 0.406698i) q^{20} +(1.73030 - 0.0778557i) q^{21} +(1.99819 + 3.46097i) q^{22} +(-1.44928 + 2.51022i) q^{23} +(-1.53741 - 0.797725i) 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} +(-0.585539 + 2.65794i) q^{30} +(-3.52940 + 3.52940i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(5.83294 - 3.72693i) q^{33} +(3.75351 + 3.75351i) q^{34} +(-1.36084 + 0.785680i) q^{35} +(-1.26061 + 2.72229i) q^{36} +(9.27105 - 2.48417i) q^{37} -5.32686 q^{38} +(3.95513 - 4.83291i) q^{39} +1.57136 q^{40} +(0.976286 - 0.261595i) q^{41} +(-1.65119 + 0.523037i) q^{42} +(-0.645525 + 0.372694i) q^{43} +(-2.82587 - 2.82587i) q^{44} +(4.64463 + 0.806221i) q^{45} +(0.750200 - 2.79979i) q^{46} +(4.72278 - 4.72278i) q^{47} +(1.69149 + 0.372632i) 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} +(4.80853 + 1.96928i) q^{54} +(-3.13988 + 5.43843i) q^{55} +(0.500000 + 0.866025i) q^{56} +(0.414727 + 9.21707i) q^{57} +(7.94353 + 2.12846i) q^{58} +(9.73021 + 2.60720i) q^{59} +(-0.122339 - 2.71892i) q^{60} +(1.42106 + 2.46134i) q^{61} +(2.49566 - 4.32262i) q^{62} +(1.03357 + 2.81633i) 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} +(-4.90288 - 1.08009i) q^{69} +(1.11112 - 1.11112i) q^{70} +(3.21485 - 11.9980i) q^{71} +(0.513072 - 2.95580i) q^{72} +(-3.67841 - 3.67841i) q^{73} +(-8.31219 + 4.79905i) q^{74} +(4.17888 - 1.32372i) q^{75} +(5.14536 - 1.37869i) q^{76} -3.99638 q^{77} +(-2.56951 + 5.69189i) q^{78} -11.4102 q^{79} +(-1.51782 + 0.406698i) q^{80} +(3.03308 - 8.47351i) q^{81} +(-0.875314 + 0.505363i) q^{82} +(-2.04710 - 2.04710i) q^{83} +(1.45956 - 0.932575i) q^{84} +(-2.15886 + 8.05698i) q^{85} +(0.527069 - 0.527069i) q^{86} +(3.06443 - 13.9104i) 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} +(-7.67372 - 3.98171i) q^{93} +(-3.33951 + 5.78420i) q^{94} +(-4.18521 - 7.24900i) q^{95} +(-1.73030 + 0.0778557i) q^{96} +(-7.62598 - 2.04337i) q^{97} +(0.965926 + 0.258819i) q^{98} +(9.20471 + 7.68198i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

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
\(3\) 0.523037 + 1.65119i 0.301976 + 0.953316i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.11112 1.11112i −0.496908 0.496908i 0.413566 0.910474i \(-0.364283\pi\)
−0.910474 + 0.413566i \(0.864283\pi\)
\(6\) −0.932575 1.45956i −0.380722 0.595861i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.45286 + 1.72727i −0.817621 + 0.575757i
\(10\) 1.36084 + 0.785680i 0.430335 + 0.248454i
\(11\) −1.03434 3.86021i −0.311865 1.16390i −0.926873 0.375375i \(-0.877514\pi\)
0.615008 0.788521i \(-0.289153\pi\)
\(12\) 1.27856 + 1.16845i 0.369088 + 0.337304i
\(13\) −1.97046 3.01949i −0.546507 0.837455i
\(14\) 1.00000i 0.267261i
\(15\) 1.25351 2.41583i 0.323656 0.623764i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −2.65413 4.59709i −0.643722 1.11496i −0.984595 0.174850i \(-0.944056\pi\)
0.340873 0.940109i \(-0.389277\pi\)
\(18\) 1.92223 2.30326i 0.453075 0.542884i
\(19\) 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
\(21\) 1.73030 0.0778557i 0.377582 0.0169895i
\(22\) 1.99819 + 3.46097i 0.426016 + 0.737881i
\(23\) −1.44928 + 2.51022i −0.302195 + 0.523417i −0.976633 0.214915i \(-0.931053\pi\)
0.674438 + 0.738331i \(0.264386\pi\)
\(24\) −1.53741 0.797725i −0.313823 0.162835i
\(25\) 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 −0.338387 0.941007i \(-0.609881\pi\)
−0.984130 + 0.177452i \(0.943215\pi\)
\(30\) −0.585539 + 2.65794i −0.106904 + 0.485272i
\(31\) −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
\(33\) 5.83294 3.72693i 1.01539 0.648775i
\(34\) 3.75351 + 3.75351i 0.643722 + 0.643722i
\(35\) −1.36084 + 0.785680i −0.230024 + 0.132804i
\(36\) −1.26061 + 2.72229i −0.210101 + 0.453715i
\(37\) 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
\(39\) 3.95513 4.83291i 0.633327 0.773884i
\(40\) 1.57136 0.248454
\(41\) 0.976286 0.261595i 0.152470 0.0408543i −0.181777 0.983340i \(-0.558185\pi\)
0.334247 + 0.942486i \(0.391518\pi\)
\(42\) −1.65119 + 0.523037i −0.254784 + 0.0807064i
\(43\) −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
\(45\) 4.64463 + 0.806221i 0.692380 + 0.120184i
\(46\) 0.750200 2.79979i 0.110611 0.412806i
\(47\) 4.72278 4.72278i 0.688888 0.688888i −0.273098 0.961986i \(-0.588048\pi\)
0.961986 + 0.273098i \(0.0880484\pi\)
\(48\) 1.69149 + 0.372632i 0.244146 + 0.0537848i
\(49\) −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 \(0.174275\pi\)
−0.853829 + 0.520554i \(0.825725\pi\)
\(54\) 4.80853 + 1.96928i 0.654358 + 0.267985i
\(55\) −3.13988 + 5.43843i −0.423381 + 0.733317i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 0.414727 + 9.21707i 0.0549319 + 1.22083i
\(58\) 7.94353 + 2.12846i 1.04304 + 0.279481i
\(59\) 9.73021 + 2.60720i 1.26677 + 0.339429i 0.828791 0.559559i \(-0.189029\pi\)
0.437974 + 0.898987i \(0.355696\pi\)
\(60\) −0.122339 2.71892i −0.0157939 0.351012i
\(61\) 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
\(63\) 1.03357 + 2.81633i 0.130217 + 0.354825i
\(64\) 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
\(69\) −4.90288 1.08009i −0.590237 0.130028i
\(70\) 1.11112 1.11112i 0.132804 0.132804i
\(71\) 3.21485 11.9980i 0.381533 1.42390i −0.462028 0.886865i \(-0.652878\pi\)
0.843561 0.537034i \(-0.180455\pi\)
\(72\) 0.513072 2.95580i 0.0604662 0.348344i
\(73\) −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
\(75\) 4.17888 1.32372i 0.482536 0.152850i
\(76\) 5.14536 1.37869i 0.590213 0.158147i
\(77\) −3.99638 −0.455430
\(78\) −2.56951 + 5.69189i −0.290940 + 0.644480i
\(79\) −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
\(81\) 3.03308 8.47351i 0.337009 0.941501i
\(82\) −0.875314 + 0.505363i −0.0966623 + 0.0558080i
\(83\) −2.04710 2.04710i −0.224698 0.224698i 0.585775 0.810473i \(-0.300790\pi\)
−0.810473 + 0.585775i \(0.800790\pi\)
\(84\) 1.45956 0.932575i 0.159251 0.101752i
\(85\) −2.15886 + 8.05698i −0.234161 + 0.873902i
\(86\) 0.527069 0.527069i 0.0568353 0.0568353i
\(87\) 3.06443 13.9104i 0.328541 1.49135i
\(88\) 3.46097 + 1.99819i 0.368940 + 0.213008i
\(89\) 4.10776 + 15.3304i 0.435422 + 1.62502i 0.740055 + 0.672546i \(0.234799\pi\)
−0.304633 + 0.952470i \(0.598534\pi\)
\(90\) −4.69503 + 0.423368i −0.494900 + 0.0446269i
\(91\) −3.42659 + 1.12182i −0.359204 + 0.117598i
\(92\) 2.89855i 0.302195i
\(93\) −7.67372 3.98171i −0.795728 0.412884i
\(94\) −3.33951 + 5.78420i −0.344444 + 0.596594i
\(95\) −4.18521 7.24900i −0.429394 0.743731i
\(96\) −1.73030 + 0.0778557i −0.176598 + 0.00794612i
\(97\) −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
\(99\) 9.20471 + 7.68198i 0.925109 + 0.772068i
\(100\) −1.26541 2.19176i −0.126541 0.219176i
\(101\) −2.83502 + 4.91039i −0.282095 + 0.488602i −0.971900 0.235392i \(-0.924363\pi\)
0.689806 + 0.723994i \(0.257696\pi\)
\(102\) −4.23454 + 8.16099i −0.419282 + 0.808058i
\(103\) 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 0.495987 0.868330i \(-0.334807\pi\)
−0.504003 + 0.863702i \(0.668140\pi\)
\(108\) −5.15437 0.657643i −0.495979 0.0632818i
\(109\) −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
\(111\) 8.95094 + 14.0090i 0.849586 + 1.32967i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 11.6098 6.70295i 1.09216 0.630560i 0.158011 0.987437i \(-0.449492\pi\)
0.934151 + 0.356877i \(0.116159\pi\)
\(114\) −2.78615 8.79567i −0.260947 0.823790i
\(115\) 4.39947 1.17883i 0.410253 0.109927i
\(116\) −8.22374 −0.763555
\(117\) 10.0487 + 4.00288i 0.929005 + 0.370066i
\(118\) −10.0735 −0.927336
\(119\) −5.12739 + 1.37388i −0.470027 + 0.125943i
\(120\) 0.821880 + 2.59462i 0.0750270 + 0.236855i
\(121\) −4.30507 + 2.48553i −0.391370 + 0.225958i
\(122\) −2.00968 2.00968i −0.181947 0.181947i
\(123\) 0.942577 + 1.47521i 0.0849893 + 0.133015i
\(124\) −1.29185 + 4.82125i −0.116012 + 0.432961i
\(125\) −8.36765 + 8.36765i −0.748425 + 0.748425i
\(126\) −1.72727 2.45286i −0.153877 0.218518i
\(127\) −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 \(0.145917\pi\)
−0.896756 + 0.442525i \(0.854083\pi\)
\(132\) 3.18801 6.14408i 0.277481 0.534774i
\(133\) 2.66343 4.61320i 0.230949 0.400015i
\(134\) 8.15169 + 14.1191i 0.704199 + 1.21971i
\(135\) 1.09809 + 8.09085i 0.0945084 + 0.696349i
\(136\) 5.12739 + 1.37388i 0.439670 + 0.117809i
\(137\) −6.68398 1.79097i −0.571051 0.153013i −0.0382722 0.999267i \(-0.512185\pi\)
−0.532778 + 0.846255i \(0.678852\pi\)
\(138\) 5.01536 0.225669i 0.426936 0.0192102i
\(139\) −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
\(141\) 10.2684 + 5.32802i 0.864755 + 0.448700i
\(142\) 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
\(147\) 0.372632 1.69149i 0.0307341 0.139512i
\(148\) 6.78688 6.78688i 0.557878 0.557878i
\(149\) −1.57701 + 5.88548i −0.129194 + 0.482158i −0.999954 0.00954954i \(-0.996960\pi\)
0.870761 + 0.491707i \(0.163627\pi\)
\(150\) −3.69389 + 2.36019i −0.301604 + 0.192708i
\(151\) 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
\(153\) 14.4506 + 6.69164i 1.16827 + 0.540987i
\(154\) 3.86021 1.03434i 0.311064 0.0833495i
\(155\) 7.84317 0.629979
\(156\) 1.00879 6.16298i 0.0807675 0.493433i
\(157\) 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
\(159\) −12.5150 + 3.96430i −0.992505 + 0.314390i
\(160\) 1.36084 0.785680i 0.107584 0.0621135i
\(161\) 2.04959 + 2.04959i 0.161530 + 0.161530i
\(162\) −0.736623 + 8.96980i −0.0578746 + 0.704734i
\(163\) 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
\(165\) −10.6222 2.34004i −0.826934 0.182172i
\(166\) 2.50717 + 1.44752i 0.194594 + 0.112349i
\(167\) −2.10435 7.85354i −0.162839 0.607725i −0.998306 0.0581836i \(-0.981469\pi\)
0.835466 0.549541i \(-0.185198\pi\)
\(168\) −1.16845 + 1.27856i −0.0901482 + 0.0986430i
\(169\) −5.23459 + 11.8995i −0.402661 + 0.915349i
\(170\) 8.34120i 0.639741i
\(171\) −15.0022 + 5.50567i −1.14725 + 0.421029i
\(172\) −0.372694 + 0.645525i −0.0284177 + 0.0492208i
\(173\) −0.130518 0.226063i −0.00992307 0.0171873i 0.861021 0.508569i \(-0.169825\pi\)
−0.870944 + 0.491382i \(0.836492\pi\)
\(174\) 0.640266 + 14.2295i 0.0485384 + 1.07874i
\(175\) −2.44459 0.655026i −0.184794 0.0495153i
\(176\) −3.86021 1.03434i −0.290974 0.0779663i
\(177\) 0.784276 + 17.4301i 0.0589498 + 1.31013i
\(178\) −7.93558 13.7448i −0.594797 1.03022i
\(179\) 8.54492 14.8002i 0.638677 1.10622i −0.347046 0.937848i \(-0.612815\pi\)
0.985723 0.168374i \(-0.0538515\pi\)
\(180\) 4.42548 1.62410i 0.329855 0.121054i
\(181\) 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
\(186\) 8.44279 + 1.85993i 0.619055 + 0.136376i
\(187\) −15.0005 + 15.0005i −1.09694 + 1.09694i
\(188\) 1.72866 6.45143i 0.126075 0.470519i
\(189\) −4.10971 + 3.17966i −0.298938 + 0.231287i
\(190\) 5.91878 + 5.91878i 0.429394 + 0.429394i
\(191\) −13.9352 + 8.04548i −1.00831 + 0.582151i −0.910698 0.413073i \(-0.864455\pi\)
−0.0976170 + 0.995224i \(0.531122\pi\)
\(192\) 1.65119 0.523037i 0.119164 0.0377470i
\(193\) 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
\(195\) −9.76455 + 0.975319i −0.699254 + 0.0698440i
\(196\) −1.00000 −0.0714286
\(197\) 0.874547 0.234334i 0.0623089 0.0166956i −0.227530 0.973771i \(-0.573065\pi\)
0.289839 + 0.957075i \(0.406398\pi\)
\(198\) −10.8793 5.03787i −0.773159 0.358026i
\(199\) 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
\(201\) 23.7957 15.2041i 1.67842 1.07242i
\(202\) 1.46751 5.47683i 0.103254 0.385349i
\(203\) −5.81506 + 5.81506i −0.408138 + 0.408138i
\(204\) 1.97803 8.97889i 0.138490 0.628648i
\(205\) −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
\(210\) 2.41583 + 1.25351i 0.166708 + 0.0865006i
\(211\) 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
\(213\) 21.4925 0.967064i 1.47264 0.0662621i
\(214\) 0.0924864 + 0.0247817i 0.00632224 + 0.00169404i
\(215\) 1.13136 + 0.303148i 0.0771583 + 0.0206745i
\(216\) 5.14895 0.698814i 0.350341 0.0475483i
\(217\) 2.49566 + 4.32262i 0.169417 + 0.293438i
\(218\) 9.78809 16.9535i 0.662933 1.14823i
\(219\) 4.14981 7.99770i 0.280418 0.540435i
\(220\) 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
\(225\) 4.37142 + 6.20778i 0.291428 + 0.413852i
\(226\) −9.47940 + 9.47940i −0.630560 + 0.630560i
\(227\) 1.25695 4.69102i 0.0834270 0.311354i −0.911585 0.411112i \(-0.865140\pi\)
0.995012 + 0.0997586i \(0.0318071\pi\)
\(228\) 4.96770 + 7.77486i 0.328994 + 0.514902i
\(229\) 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
\(231\) −2.09026 6.59879i −0.137529 0.434168i
\(232\) 7.94353 2.12846i 0.521518 0.139740i
\(233\) 7.76640 0.508794 0.254397 0.967100i \(-0.418123\pi\)
0.254397 + 0.967100i \(0.418123\pi\)
\(234\) −10.7423 1.26568i −0.702249 0.0827400i
\(235\) −10.4951 −0.684627
\(236\) 9.73021 2.60720i 0.633383 0.169714i
\(237\) −5.96794 18.8404i −0.387659 1.22381i
\(238\) 4.59709 2.65413i 0.297985 0.172042i
\(239\) −1.73807 1.73807i −0.112427 0.112427i 0.648656 0.761082i \(-0.275332\pi\)
−0.761082 + 0.648656i \(0.775332\pi\)
\(240\) −1.46541 2.29349i −0.0945919 0.148044i
\(241\) 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
\(243\) 15.5778 + 0.576228i 0.999317 + 0.0369651i
\(244\) 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
\(249\) 2.30944 4.45086i 0.146355 0.282062i
\(250\) 5.91682 10.2482i 0.374213 0.648155i
\(251\) 12.6205 + 21.8593i 0.796598 + 1.37975i 0.921820 + 0.387619i \(0.126702\pi\)
−0.125222 + 0.992129i \(0.539964\pi\)
\(252\) 2.30326 + 1.92223i 0.145092 + 0.121089i
\(253\) 11.1890 + 2.99809i 0.703447 + 0.188488i
\(254\) 6.49489 + 1.74030i 0.407526 + 0.109196i
\(255\) −14.4328 + 0.649410i −0.903815 + 0.0406676i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −2.61336 + 4.52647i −0.163017 + 0.282354i −0.935949 0.352135i \(-0.885456\pi\)
0.772932 + 0.634488i \(0.218789\pi\)
\(258\) 1.14597 + 0.594615i 0.0713449 + 0.0370191i
\(259\) 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 0.126295 0.991993i \(-0.459691\pi\)
−0.795943 + 0.605371i \(0.793025\pi\)
\(264\) −1.48918 + 6.75985i −0.0916526 + 0.416040i
\(265\) 8.42160 8.42160i 0.517335 0.517335i
\(266\) −1.37869 + 5.14536i −0.0845332 + 0.315482i
\(267\) −23.1649 + 14.8011i −1.41767 + 0.905810i
\(268\) −11.5282 11.5282i −0.704199 0.704199i
\(269\) 1.87678 1.08356i 0.114430 0.0660660i −0.441693 0.897166i \(-0.645622\pi\)
0.556122 + 0.831100i \(0.312289\pi\)
\(270\) −3.15474 7.53095i −0.191991 0.458319i
\(271\) −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
\(273\) −3.64457 5.07121i −0.220579 0.306923i
\(274\) 6.91976 0.418038
\(275\) −9.76952 + 2.61774i −0.589124 + 0.157855i
\(276\) −4.78606 + 1.51605i −0.288087 + 0.0912555i
\(277\) −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
\(279\) 2.56091 14.7534i 0.153318 0.883261i
\(280\) 0.406698 1.51782i 0.0243048 0.0907069i
\(281\) 22.5530 22.5530i 1.34540 1.34540i 0.454807 0.890590i \(-0.349708\pi\)
0.890590 0.454807i \(-0.150292\pi\)
\(282\) −11.2975 2.48881i −0.672757 0.148207i
\(283\) 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
\(288\) −1.03357 2.81633i −0.0609035 0.165954i
\(289\) −5.58884 + 9.68016i −0.328755 + 0.569421i
\(290\) −6.46123 11.1912i −0.379416 0.657169i
\(291\) −0.614670 13.6607i −0.0360326 0.800805i
\(292\) −5.02480 1.34639i −0.294054 0.0787916i
\(293\) 21.6857 + 5.81065i 1.26689 + 0.339462i 0.828838 0.559488i \(-0.189002\pi\)
0.438051 + 0.898950i \(0.355669\pi\)
\(294\) 0.0778557 + 1.73030i 0.00454064 + 0.100913i
\(295\) −7.91451 13.7083i −0.460801 0.798130i
\(296\) −4.79905 + 8.31219i −0.278939 + 0.483136i
\(297\) −7.87001 + 19.2167i −0.456664 + 1.11507i
\(298\) 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
\(303\) −9.59082 2.11283i −0.550978 0.121379i
\(304\) 3.76666 3.76666i 0.216033 0.216033i
\(305\) 1.15588 4.31380i 0.0661855 0.247008i
\(306\) −15.6902 2.72352i −0.896948 0.155694i
\(307\) 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
\(309\) −13.3745 + 4.23655i −0.760847 + 0.241009i
\(310\) −7.57592 + 2.02996i −0.430283 + 0.115294i
\(311\) 23.3812 1.32582 0.662912 0.748697i \(-0.269320\pi\)
0.662912 + 0.748697i \(0.269320\pi\)
\(312\) 0.620685 + 6.21408i 0.0351393 + 0.351803i
\(313\) 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
\(315\) 1.98087 4.27770i 0.111609 0.241021i
\(316\) −9.88149 + 5.70508i −0.555877 + 0.320936i
\(317\) −14.2156 14.2156i −0.798427 0.798427i 0.184420 0.982847i \(-0.440959\pi\)
−0.982847 + 0.184420i \(0.940959\pi\)
\(318\) 11.0625 7.06835i 0.620356 0.396373i
\(319\) −8.50614 + 31.7454i −0.476253 + 1.77740i
\(320\) −1.11112 + 1.11112i −0.0621135 + 0.0621135i
\(321\) 0.0356791 0.161959i 0.00199141 0.00903965i
\(322\) −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
\(327\) −30.0967 15.6164i −1.66435 0.863590i
\(328\) −0.505363 + 0.875314i −0.0279040 + 0.0483311i
\(329\) −3.33951 5.78420i −0.184113 0.318893i
\(330\) 10.8659 0.488915i 0.598146 0.0269139i
\(331\) 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
\(333\) −18.4498 + 22.1069i −1.01104 + 1.21145i
\(334\) 4.06529 + 7.04129i 0.222443 + 0.385282i
\(335\) −12.8092 + 22.1863i −0.699844 + 1.21217i
\(336\) 0.797725 1.53741i 0.0435195 0.0838727i
\(337\) 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
\(342\) 13.0661 9.20093i 0.706532 0.497529i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 0.192921 0.719990i 0.0104016 0.0388192i
\(345\) 4.24757 + 6.64779i 0.228681 + 0.357905i
\(346\) 0.184580 + 0.184580i 0.00992307 + 0.00992307i
\(347\) −8.83048 + 5.09828i −0.474045 + 0.273690i −0.717931 0.696114i \(-0.754911\pi\)
0.243886 + 0.969804i \(0.421578\pi\)
\(348\) −4.30133 13.5790i −0.230575 0.727909i
\(349\) 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
\(351\) −1.35365 + 18.6860i −0.0722526 + 0.997386i
\(352\) 3.99638 0.213008
\(353\) 17.2129 4.61217i 0.916148 0.245481i 0.230210 0.973141i \(-0.426059\pi\)
0.685938 + 0.727660i \(0.259392\pi\)
\(354\) −5.26879 16.6332i −0.280033 0.884044i
\(355\) −16.9033 + 9.75911i −0.897133 + 0.517960i
\(356\) 11.2226 + 11.2226i 0.594797 + 0.594797i
\(357\) −4.95036 7.74771i −0.262001 0.410052i
\(358\) −4.42318 + 16.5075i −0.233772 + 0.872450i
\(359\) 18.1970 18.1970i 0.960402 0.960402i −0.0388433 0.999245i \(-0.512367\pi\)
0.999245 + 0.0388433i \(0.0123673\pi\)
\(360\) −3.85433 + 2.71416i −0.203141 + 0.143049i
\(361\) 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
\(366\) 2.26722 4.36949i 0.118510 0.228397i
\(367\) 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
\(369\) −1.94285 + 2.32797i −0.101141 + 0.121189i
\(370\) 14.5682 + 3.90352i 0.757362 + 0.202935i
\(371\) 7.32112 + 1.96169i 0.380094 + 0.101846i
\(372\) −8.63649 + 0.388603i −0.447781 + 0.0201481i
\(373\) −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
\(375\) −18.1932 9.43999i −0.939492 0.487479i
\(376\) 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
\(381\) 2.50558 11.3736i 0.128365 0.582687i
\(382\) 11.3780 11.3780i 0.582151 0.582151i
\(383\) 3.19097 11.9089i 0.163051 0.608514i −0.835230 0.549901i \(-0.814665\pi\)
0.998281 0.0586132i \(-0.0186679\pi\)
\(384\) −1.45956 + 0.932575i −0.0744827 + 0.0475903i
\(385\) 4.44046 + 4.44046i 0.226307 + 0.226307i
\(386\) −1.22253 + 0.705830i −0.0622253 + 0.0359258i
\(387\) 0.939642 2.02916i 0.0477647 0.103148i
\(388\) −7.62598 + 2.04337i −0.387150 + 0.103737i
\(389\) 3.19617 0.162052 0.0810262 0.996712i \(-0.474180\pi\)
0.0810262 + 0.996712i \(0.474180\pi\)
\(390\) 9.17940 3.46934i 0.464817 0.175677i
\(391\) 15.3863 0.778118
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) −16.7263 + 5.29830i −0.843732 + 0.267264i
\(394\) −0.784097 + 0.452699i −0.0395022 + 0.0228066i
\(395\) 12.6780 + 12.6780i 0.637902 + 0.637902i
\(396\) 11.8125 + 2.05043i 0.593601 + 0.103038i
\(397\) −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
\(399\) 9.01035 + 1.98496i 0.451082 + 0.0993722i
\(400\) −2.19176 1.26541i −0.109588 0.0632707i
\(401\) 1.69247 + 6.31637i 0.0845177 + 0.315424i 0.995222 0.0976337i \(-0.0311273\pi\)
−0.910705 + 0.413058i \(0.864461\pi\)
\(402\) −19.0498 + 20.8448i −0.950116 + 1.03965i
\(403\) 17.6115 + 3.70244i 0.877292 + 0.184432i
\(404\) 5.67003i 0.282095i
\(405\) −12.7852 + 6.04497i −0.635302 + 0.300377i
\(406\) 4.11187 7.12197i 0.204069 0.353457i
\(407\) −19.1788 33.2187i −0.950659 1.64659i
\(408\) 0.413279 + 9.18489i 0.0204604 + 0.454720i
\(409\) −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
\(411\) −0.538743 11.9733i −0.0265742 0.590598i
\(412\) 4.04995 + 7.01471i 0.199526 + 0.345590i
\(413\) 5.03673 8.72387i 0.247841 0.429273i
\(414\) 2.99585 + 8.16329i 0.147238 + 0.401204i
\(415\) 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 0.600362 0.799728i \(-0.295023\pi\)
−0.392404 + 0.919793i \(0.628356\pi\)
\(420\) −2.65794 0.585539i −0.129694 0.0285714i
\(421\) 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
\(423\) −3.42682 + 19.7418i −0.166618 + 0.959881i
\(424\) −5.35943 5.35943i −0.260277 0.260277i
\(425\) −11.6345 + 6.71715i −0.564354 + 0.325830i
\(426\) −20.5098 + 6.49677i −0.993704 + 0.314769i
\(427\) 2.74527 0.735592i 0.132853 0.0355978i
\(428\) −0.0957490 −0.00462820
\(429\) −22.7470 10.2687i −1.09823 0.495780i
\(430\) −1.17127 −0.0564838
\(431\) 23.6762 6.34401i 1.14044 0.305580i 0.361312 0.932445i \(-0.382329\pi\)
0.779128 + 0.626865i \(0.215662\pi\)
\(432\) −4.79263 + 2.00765i −0.230586 + 0.0965930i
\(433\) −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
\(435\) −18.8611 + 12.0512i −0.904318 + 0.577809i
\(436\) −5.06669 + 18.9091i −0.242650 + 0.905584i
\(437\) −10.9179 + 10.9179i −0.522272 + 0.522272i
\(438\) −1.93845 + 8.79924i −0.0926228 + 0.420444i
\(439\) 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 \(0.198347\pi\)
−0.812059 + 0.583575i \(0.801653\pi\)
\(444\) 14.7562 + 7.65664i 0.700299 + 0.363368i
\(445\) 12.4697 21.5981i 0.591119 1.02385i
\(446\) 9.94424 + 17.2239i 0.470873 + 0.815577i
\(447\) −10.5429 + 0.474383i −0.498662 + 0.0224375i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) 0.650620 + 0.174333i 0.0307047 + 0.00822729i 0.274139 0.961690i \(-0.411607\pi\)
−0.243434 + 0.969917i \(0.578274\pi\)
\(450\) −5.82916 4.86484i −0.274789 0.229331i
\(451\) −2.01962 3.49809i −0.0951003 0.164719i
\(452\) 6.70295 11.6098i 0.315280 0.546081i
\(453\) −3.67771 + 7.08785i −0.172794 + 0.333016i
\(454\) 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
\(459\) −3.49095 + 27.3608i −0.162943 + 1.27709i
\(460\) 3.22064 3.22064i 0.150163 0.150163i
\(461\) 0.767948 2.86602i 0.0357669 0.133484i −0.945734 0.324942i \(-0.894655\pi\)
0.981501 + 0.191458i \(0.0613217\pi\)
\(462\) 3.72693 + 5.83294i 0.173392 + 0.271373i
\(463\) −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
\(465\) 4.10227 + 12.9506i 0.190238 + 0.600568i
\(466\) −7.50177 + 2.01009i −0.347513 + 0.0931157i
\(467\) 7.17468 0.332004 0.166002 0.986125i \(-0.446914\pi\)
0.166002 + 0.986125i \(0.446914\pi\)
\(468\) 10.7039 1.55777i 0.494788 0.0720080i
\(469\) −16.3034 −0.752821
\(470\) 10.1375 2.71634i 0.467609 0.125296i
\(471\) 5.73155 + 18.0941i 0.264096 + 0.833731i
\(472\) −8.72387 + 5.03673i −0.401548 + 0.231834i
\(473\) 2.10637 + 2.10637i 0.0968509 + 0.0968509i
\(474\) 10.6408 + 16.6538i 0.488750 + 0.764933i
\(475\) 3.48924 13.0220i 0.160097 0.597491i
\(476\) −3.75351 + 3.75351i −0.172042 + 0.172042i
\(477\) −13.0916 18.5912i −0.599425 0.851232i
\(478\) 2.12869 + 1.22900i 0.0973642 + 0.0562133i
\(479\) −5.40790 20.1825i −0.247093 0.922164i −0.972320 0.233654i \(-0.924932\pi\)
0.725227 0.688510i \(-0.241735\pi\)
\(480\) 2.00908 + 1.83606i 0.0917014 + 0.0838044i
\(481\) −25.7691 23.0989i −1.17497 1.05322i
\(482\) 25.0571i 1.14132i
\(483\) −2.31225 + 4.45627i −0.105211 + 0.202767i
\(484\) −2.48553 + 4.30507i −0.112979 + 0.195685i
\(485\) 6.20294 + 10.7438i 0.281661 + 0.487851i
\(486\) −15.1961 + 3.47524i −0.689311 + 0.157640i
\(487\) −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
\(489\) 33.9674 1.52838i 1.53606 0.0691158i
\(490\) −0.785680 1.36084i −0.0354934 0.0614764i
\(491\) −5.19814 + 9.00345i −0.234589 + 0.406320i −0.959153 0.282887i \(-0.908708\pi\)
0.724564 + 0.689207i \(0.242041\pi\)
\(492\) 1.55390 + 0.806281i 0.0700553 + 0.0363500i
\(493\) 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
\(498\) −1.07878 + 4.89692i −0.0483413 + 0.219436i
\(499\) −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
\(501\) 11.8670 7.58238i 0.530180 0.338756i
\(502\) −17.8481 17.8481i −0.796598 0.796598i
\(503\) −15.2729 + 8.81781i −0.680985 + 0.393167i −0.800226 0.599699i \(-0.795287\pi\)
0.119241 + 0.992865i \(0.461954\pi\)
\(504\) −2.72229 1.26061i −0.121260 0.0561519i
\(505\) 8.60607 2.30599i 0.382965 0.102615i
\(506\) −11.5837 −0.514959
\(507\) −22.3863 2.41941i −0.994211 0.107450i
\(508\) −6.72401 −0.298330
\(509\) 0.543031 0.145505i 0.0240694 0.00644939i −0.246764 0.969076i \(-0.579367\pi\)
0.270834 + 0.962626i \(0.412701\pi\)
\(510\) 13.7729 4.36276i 0.609875 0.193186i
\(511\) −4.50511 + 2.60103i −0.199294 + 0.115063i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −16.9376 21.8919i −0.747815 0.966550i
\(514\) 1.35278 5.04863i 0.0596684 0.222685i
\(515\) 8.99994 8.99994i 0.396585 0.396585i
\(516\) −1.26082 0.277755i −0.0555044 0.0122275i
\(517\) −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 \(0.148759\pi\)
−0.892770 + 0.450513i \(0.851241\pi\)
\(522\) −23.1608 + 8.49979i −1.01372 + 0.372025i
\(523\) 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
\(525\) −0.197039 4.37909i −0.00859951 0.191119i
\(526\) 12.1126 + 3.24556i 0.528135 + 0.141513i
\(527\) 25.5925 + 6.85748i 1.11483 + 0.298717i
\(528\) −0.311141 6.91494i −0.0135407 0.300934i
\(529\) 7.29920 + 12.6426i 0.317357 + 0.549678i
\(530\) −5.95497 + 10.3143i −0.258667 + 0.448025i
\(531\) −28.3702 + 10.4116i −1.23116 + 0.451824i
\(532\) 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
\(537\) 28.9073 + 6.36822i 1.24744 + 0.274809i
\(538\) −1.53239 + 1.53239i −0.0660660 + 0.0660660i
\(539\) −1.03434 + 3.86021i −0.0445522 + 0.166271i
\(540\) 4.99640 + 6.45784i 0.215011 + 0.277901i
\(541\) 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
\(543\) −16.5977 + 5.25754i −0.712274 + 0.225622i
\(544\) 5.12739 1.37388i 0.219835 0.0589046i
\(545\) 30.7612 1.31767
\(546\) 4.83291 + 3.95513i 0.206829 + 0.169264i
\(547\) −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
\(549\) −7.73705 3.58279i −0.330209 0.152910i
\(550\) 8.75911 5.05708i 0.373490 0.215634i
\(551\) −30.9761 30.9761i −1.31962 1.31962i
\(552\) 4.23060 2.70312i 0.180066 0.115052i
\(553\) −2.95317 + 11.0214i −0.125581 + 0.468676i
\(554\) 22.8634 22.8634i 0.971373 0.971373i
\(555\) 5.62006 25.5112i 0.238558 1.08289i
\(556\) −2.90638 1.67800i −0.123258 0.0711629i
\(557\) 0.804689 + 3.00314i 0.0340958 + 0.127247i 0.980876 0.194633i \(-0.0623517\pi\)
−0.946780 + 0.321881i \(0.895685\pi\)
\(558\) 1.34480 + 14.9135i 0.0569300 + 0.631337i
\(559\) 2.39732 + 1.21478i 0.101396 + 0.0513796i
\(560\) 1.57136i 0.0664021i
\(561\) −32.6144 16.9228i −1.37698 0.714482i
\(562\) −15.9474 + 27.6216i −0.672699 + 1.16515i
\(563\) 13.6658 + 23.6698i 0.575943 + 0.997563i 0.995938 + 0.0900370i \(0.0286985\pi\)
−0.419995 + 0.907526i \(0.637968\pi\)
\(564\) 11.5567 0.520000i 0.486625 0.0218959i
\(565\) −20.3477 5.45215i −0.856034 0.229374i
\(566\) −15.4763 4.14687i −0.650519 0.174306i
\(567\) −7.39977 5.12284i −0.310761 0.215139i
\(568\) 6.21061 + 10.7571i 0.260592 + 0.451358i
\(569\) 15.9756 27.6705i 0.669732 1.16001i −0.308247 0.951306i \(-0.599742\pi\)
0.977979 0.208703i \(-0.0669242\pi\)
\(570\) −6.67729 + 12.8688i −0.279681 + 0.539014i
\(571\) 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
\(576\) 1.72727 + 2.45286i 0.0719696 + 0.102203i
\(577\) −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
\(579\) 1.31648 + 2.06040i 0.0547110 + 0.0856272i
\(580\) 9.13756 + 9.13756i 0.379416 + 0.379416i
\(581\) −2.50717 + 1.44752i −0.104015 + 0.0600531i
\(582\) 4.12938 + 13.0361i 0.171168 + 0.540365i
\(583\) 29.2580 7.83966i 1.21174 0.324685i
\(584\) 5.20206 0.215263
\(585\) −6.71766 15.6130i −0.277741 0.645519i
\(586\) −22.4506 −0.927427
\(587\) −7.88933 + 2.11394i −0.325628 + 0.0872517i −0.417930 0.908479i \(-0.637244\pi\)
0.0923020 + 0.995731i \(0.470577\pi\)
\(588\) −0.523037 1.65119i −0.0215697 0.0680940i
\(589\) −23.0260 + 13.2941i −0.948769 + 0.547772i
\(590\) 11.1928 + 11.1928i 0.460801 + 0.460801i
\(591\) 0.844351 + 1.32148i 0.0347320 + 0.0543583i
\(592\) 2.48417 9.27105i 0.102099 0.381038i
\(593\) −22.7385 + 22.7385i −0.933760 + 0.933760i −0.997938 0.0641782i \(-0.979557\pi\)
0.0641782 + 0.997938i \(0.479557\pi\)
\(594\) 2.62819 20.5988i 0.107836 0.845180i
\(595\) 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 \(-0.976450\pi\)
0.997264 0.0739158i \(-0.0235496\pi\)
\(600\) −2.01890 + 3.89092i −0.0824214 + 0.158846i
\(601\) 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
\(603\) 37.5510 + 31.3389i 1.52919 + 1.27622i
\(604\) 4.45316 + 1.19322i 0.181197 + 0.0485515i
\(605\) 7.54517 + 2.02172i 0.306755 + 0.0821947i
\(606\) 9.81086 0.441445i 0.398539 0.0179325i
\(607\) −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
\(609\) −12.6433 6.56029i −0.512332 0.265836i
\(610\) 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
\(615\) 0.591819 2.68645i 0.0238644 0.108328i
\(616\) 2.82587 2.82587i 0.113857 0.113857i
\(617\) 5.72544 21.3676i 0.230497 0.860228i −0.749630 0.661857i \(-0.769768\pi\)
0.980127 0.198371i \(-0.0635649\pi\)
\(618\) 11.8222 7.55376i 0.475560 0.303857i
\(619\) −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
\(621\) 13.8917 5.81927i 0.557455 0.233519i
\(622\) −22.5845 + 6.05149i −0.905554 + 0.242643i
\(623\) 15.8712 0.635865
\(624\) −2.20786 5.84169i −0.0883850 0.233855i
\(625\) 5.94077 0.237631
\(626\) −18.4064 + 4.93198i −0.735668 + 0.197122i
\(627\) 35.1509 11.1345i 1.40379 0.444670i
\(628\) 9.49008 5.47910i 0.378695 0.218640i
\(629\) −36.0266 36.0266i −1.43647 1.43647i
\(630\) −0.806221 + 4.64463i −0.0321206 + 0.185046i
\(631\) −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
\(633\) 19.0766 + 4.20254i 0.758228 + 0.167036i
\(634\) 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
\(639\) 12.8382 + 34.9823i 0.507870 + 1.38388i
\(640\) 0.785680 1.36084i 0.0310567 0.0537918i
\(641\) −12.7231 22.0370i −0.502532 0.870411i −0.999996 0.00292593i \(-0.999069\pi\)
0.497464 0.867485i \(-0.334265\pi\)
\(642\) 0.00745461 + 0.165674i 0.000294210 + 0.00653865i
\(643\) −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
\(645\) 0.0911903 + 2.02665i 0.00359061 + 0.0797994i
\(646\) 14.1382 + 24.4881i 0.556260 + 0.963471i
\(647\) 8.70102 15.0706i 0.342073 0.592487i −0.642745 0.766080i \(-0.722204\pi\)
0.984817 + 0.173593i \(0.0555378\pi\)
\(648\) 3.84697 + 8.13639i 0.151123 + 0.319628i
\(649\) 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 0.999710 0.0240717i \(-0.00766299\pi\)
0.479008 + 0.877810i \(0.340996\pi\)
\(654\) 33.1130 + 7.29471i 1.29482 + 0.285246i
\(655\) 11.2555 11.2555i 0.439788 0.439788i
\(656\) 0.261595 0.976286i 0.0102136 0.0381176i
\(657\) 15.3762 + 2.66903i 0.599884 + 0.104129i
\(658\) 4.72278 + 4.72278i 0.184113 + 0.184113i
\(659\) −23.8896 + 13.7927i −0.930608 + 0.537287i −0.887004 0.461762i \(-0.847217\pi\)
−0.0436042 + 0.999049i \(0.513884\pi\)
\(660\) −10.3691 + 3.28455i −0.403616 + 0.127851i
\(661\) −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
\(663\) −32.7147 5.35490i −1.27054 0.207967i
\(664\) 2.89503 0.112349
\(665\) −8.08521 + 2.16642i −0.313531 + 0.0840103i
\(666\) 12.0994 26.1288i 0.468843 1.01247i
\(667\) 20.6434 11.9185i 0.799315 0.461485i
\(668\) −5.74919 5.74919i −0.222443 0.222443i
\(669\) 29.0284 18.5475i 1.12230 0.717088i
\(670\) 6.63055 24.7456i 0.256161 0.956005i
\(671\) 8.03143 8.03143i 0.310050 0.310050i
\(672\) −0.372632 + 1.69149i −0.0143746 + 0.0652507i
\(673\) −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 \(0.164756\pi\)
−0.869011 + 0.494794i \(0.835244\pi\)
\(678\) −20.6104 10.6942i −0.791537 0.410709i
\(679\) −3.94750 + 6.83726i −0.151491 + 0.262390i
\(680\) −4.17060 7.22369i −0.159935 0.277016i
\(681\) 8.40320 0.378106i 0.322011 0.0144891i
\(682\) −19.2676 5.16273i −0.737793 0.197691i
\(683\) 6.65558 + 1.78336i 0.254669 + 0.0682383i 0.383895 0.923377i \(-0.374583\pi\)
−0.129226 + 0.991615i \(0.541249\pi\)
\(684\) −10.2395 + 12.2692i −0.391516 + 0.469123i
\(685\) 5.43672 + 9.41667i 0.207726 + 0.359793i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) −8.04337 + 15.5015i −0.306874 + 0.591421i
\(688\) 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
\(693\) 9.80258 6.90283i 0.372369 0.262217i
\(694\) 7.21006 7.21006i 0.273690 0.273690i
\(695\) −1.36488 + 5.09378i −0.0517727 + 0.193218i
\(696\) 7.66926 + 12.0030i 0.290702 + 0.454973i
\(697\) −3.79377 3.79377i −0.143699 0.143699i
\(698\) −11.4835 + 6.62998i −0.434656 + 0.250949i
\(699\) 4.06212 + 12.8238i 0.153643 + 0.485041i
\(700\) −2.44459 + 0.655026i −0.0923969 + 0.0247577i
\(701\) 2.97339 0.112303 0.0561516 0.998422i \(-0.482117\pi\)
0.0561516 + 0.998422i \(0.482117\pi\)
\(702\) −3.52877 18.3997i −0.133185 0.694451i
\(703\) 51.1278 1.92832
\(704\) −3.86021 + 1.03434i −0.145487 + 0.0389831i
\(705\) −5.48935 17.3295i −0.206741 0.652666i
\(706\) −15.4326 + 8.91003i −0.580814 + 0.335333i
\(707\) 4.00932 + 4.00932i 0.150786 + 0.150786i
\(708\) 9.39425 + 14.7028i 0.353058 + 0.552564i
\(709\) 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
\(711\) 27.9876 19.7084i 1.04962 0.739124i
\(712\) −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
\(717\) 1.96081 3.77897i 0.0732279 0.141128i
\(718\) −12.8672 + 22.2867i −0.480201 + 0.831733i
\(719\) 0.0484197 + 0.0838654i 0.00180575 + 0.00312765i 0.866927 0.498435i \(-0.166092\pi\)
−0.865121 + 0.501563i \(0.832759\pi\)
\(720\) 3.02052 3.61925i 0.112568 0.134882i
\(721\) 7.82389 + 2.09641i 0.291377 + 0.0780742i
\(722\) −9.05602 2.42655i −0.337030 0.0903070i
\(723\) 43.3562 1.95083i 1.61244 0.0725523i
\(724\) 5.02597 + 8.70523i 0.186789 + 0.323527i
\(725\) −10.4064 + 18.0245i −0.386485 + 0.669412i
\(726\) 7.64258 + 3.96554i 0.283643 + 0.147175i
\(727\) 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
\(732\) −1.05906 + 4.80741i −0.0391440 + 0.177687i
\(733\) 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
\(735\) −2.29349 + 1.46541i −0.0845966 + 0.0540525i
\(736\) −2.04959 2.04959i −0.0755487 0.0755487i
\(737\) −56.4255 + 32.5773i −2.07846 + 1.20000i
\(738\) 1.27413 2.75149i 0.0469013 0.101284i
\(739\) 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
\(741\) 27.0136 19.4141i 0.992370 0.713195i
\(742\) −7.57938 −0.278248
\(743\) −9.97404 + 2.67254i −0.365912 + 0.0980458i −0.437090 0.899418i \(-0.643991\pi\)
0.0711779 + 0.997464i \(0.477324\pi\)
\(744\) 8.24163 2.61065i 0.302153 0.0957111i
\(745\) 8.29172 4.78723i 0.303785 0.175390i
\(746\) 17.6223 + 17.6223i 0.645198 + 0.645198i
\(747\) 8.55714 + 1.48536i 0.313089 + 0.0543465i
\(748\) −5.49055 + 20.4910i −0.200754 + 0.749226i
\(749\) −0.0677047 + 0.0677047i −0.00247388 + 0.00247388i
\(750\) 20.0165 + 4.40959i 0.730900 + 0.161015i
\(751\) −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
\(756\) −1.96928 + 4.80853i −0.0716221 + 0.174884i
\(757\) 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
\(759\) 0.901859 + 20.0433i 0.0327354 + 0.727526i
\(760\) 8.08521 + 2.16642i 0.293281 + 0.0785845i
\(761\) −10.2974 2.75919i −0.373282 0.100021i 0.0673005 0.997733i \(-0.478561\pi\)
−0.440582 + 0.897712i \(0.645228\pi\)
\(762\) 0.523502 + 11.6345i 0.0189645 + 0.421475i
\(763\) 9.78809 + 16.9535i 0.354353 + 0.613757i
\(764\) −8.04548 + 13.9352i −0.291075 + 0.504157i
\(765\) −8.62118 23.4916i −0.311699 0.849341i
\(766\) 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
\(771\) −8.84096 1.94764i −0.318399 0.0701426i
\(772\) 0.998195 0.998195i 0.0359258 0.0359258i
\(773\) 9.31158 34.7513i 0.334914 1.24992i −0.569048 0.822304i \(-0.692688\pi\)
0.903962 0.427613i \(-0.140645\pi\)
\(774\) −0.382438 +