Properties

Label 546.2.bu.a.71.2
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 71.2
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.35787 - 1.07526i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.489109 + 0.489109i) q^{5} +(1.58990 + 0.687181i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.687622 + 2.92013i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.35787 - 1.07526i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.489109 + 0.489109i) q^{5} +(1.58990 + 0.687181i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.687622 + 2.92013i) q^{9} +(-0.599034 - 0.345852i) q^{10} +(-0.247333 - 0.923060i) q^{11} +(-1.71358 - 0.252269i) q^{12} +(2.67710 + 2.41519i) q^{13} +1.00000i q^{14} +(-0.138226 - 1.19007i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.15524 + 2.00093i) q^{17} +(-1.41998 - 2.64266i) q^{18} +(-0.656279 - 0.175849i) q^{19} +(0.668135 + 0.179026i) q^{20} +(-1.39007 + 1.03330i) q^{21} +(0.477811 + 0.827593i) q^{22} +(0.227212 - 0.393543i) q^{23} +(1.72048 - 0.199834i) q^{24} -4.52155i q^{25} +(-3.21098 - 1.64001i) q^{26} +(2.20621 - 4.70454i) q^{27} +(-0.258819 - 0.965926i) q^{28} +(4.11308 + 2.37469i) q^{29} +(0.441528 + 1.11374i) q^{30} +(1.27428 - 1.27428i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-0.656685 + 1.51934i) q^{33} +(-1.63375 - 1.63375i) q^{34} +(0.599034 - 0.345852i) q^{35} +(2.05556 + 2.18510i) q^{36} +(1.67070 - 0.447663i) q^{37} +0.679430 q^{38} +(-1.03820 - 6.15810i) q^{39} -0.691704 q^{40} +(9.15496 - 2.45307i) q^{41} +(1.07526 - 1.35787i) q^{42} +(0.759424 - 0.438454i) q^{43} +(-0.675726 - 0.675726i) q^{44} +(-1.09194 + 1.76458i) q^{45} +(-0.117614 + 0.438941i) q^{46} +(7.33090 - 7.33090i) q^{47} +(-1.61014 + 0.638319i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(1.17026 + 4.36748i) q^{50} +(0.582861 - 3.95918i) q^{51} +(3.52603 + 0.753063i) q^{52} -10.0392i q^{53} +(-0.913408 + 5.11524i) q^{54} +(0.330504 - 0.572449i) q^{55} +(0.500000 + 0.866025i) q^{56} +(0.702057 + 0.944452i) q^{57} +(-4.58754 - 1.22923i) q^{58} +(11.3752 + 3.04796i) q^{59} +(-0.714740 - 0.961515i) q^{60} +(6.88600 + 11.9269i) q^{61} +(-0.901054 + 1.56067i) q^{62} +(2.99860 + 0.0915937i) q^{63} -1.00000i q^{64} +(0.128104 + 2.49068i) q^{65} +(0.241074 - 1.63754i) q^{66} +(-2.53037 - 9.44348i) q^{67} +(2.00093 + 1.15524i) q^{68} +(-0.731687 + 0.290068i) q^{69} +(-0.489109 + 0.489109i) q^{70} +(-0.951706 + 3.55182i) q^{71} +(-2.55107 - 1.57862i) q^{72} +(-4.44812 - 4.44812i) q^{73} +(-1.49791 + 0.864819i) q^{74} +(-4.86185 + 6.13967i) q^{75} +(-0.656279 + 0.175849i) q^{76} -0.955622 q^{77} +(2.59665 + 5.67956i) q^{78} -3.18127 q^{79} +(0.668135 - 0.179026i) q^{80} +(-8.05435 + 4.01590i) q^{81} +(-8.20812 + 4.73896i) q^{82} +(0.476958 + 0.476958i) q^{83} +(-0.687181 + 1.58990i) q^{84} +(-0.413635 + 1.54371i) q^{85} +(-0.620067 + 0.620067i) q^{86} +(-3.03161 - 7.64715i) q^{87} +(0.827593 + 0.477811i) q^{88} +(0.780848 + 2.91416i) q^{89} +(0.598025 - 1.98707i) q^{90} +(3.02578 - 1.96078i) q^{91} -0.454425i q^{92} +(-3.10050 + 0.360122i) q^{93} +(-5.18373 + 8.97848i) q^{94} +(-0.234982 - 0.407001i) q^{95} +(1.39007 - 1.03330i) q^{96} +(-11.6671 - 3.12620i) q^{97} +(0.965926 + 0.258819i) q^{98} +(2.52538 - 1.35696i) 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
\(3\) −1.35787 1.07526i −0.783967 0.620803i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 0.489109 + 0.489109i 0.218736 + 0.218736i 0.807966 0.589230i \(-0.200569\pi\)
−0.589230 + 0.807966i \(0.700569\pi\)
\(6\) 1.58990 + 0.687181i 0.649074 + 0.280540i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.687622 + 2.92013i 0.229207 + 0.973378i
\(10\) −0.599034 0.345852i −0.189431 0.109368i
\(11\) −0.247333 0.923060i −0.0745737 0.278313i 0.918563 0.395276i \(-0.129351\pi\)
−0.993136 + 0.116963i \(0.962684\pi\)
\(12\) −1.71358 0.252269i −0.494668 0.0728239i
\(13\) 2.67710 + 2.41519i 0.742494 + 0.669852i
\(14\) 1.00000i 0.267261i
\(15\) −0.138226 1.19007i −0.0356898 0.307274i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.15524 + 2.00093i 0.280186 + 0.485296i 0.971430 0.237325i \(-0.0762705\pi\)
−0.691244 + 0.722621i \(0.742937\pi\)
\(18\) −1.41998 2.64266i −0.334692 0.622881i
\(19\) −0.656279 0.175849i −0.150561 0.0403426i 0.182751 0.983159i \(-0.441500\pi\)
−0.333312 + 0.942817i \(0.608166\pi\)
\(20\) 0.668135 + 0.179026i 0.149400 + 0.0400315i
\(21\) −1.39007 + 1.03330i −0.303337 + 0.225485i
\(22\) 0.477811 + 0.827593i 0.101870 + 0.176443i
\(23\) 0.227212 0.393543i 0.0473771 0.0820595i −0.841364 0.540468i \(-0.818247\pi\)
0.888741 + 0.458409i \(0.151580\pi\)
\(24\) 1.72048 0.199834i 0.351192 0.0407909i
\(25\) 4.52155i 0.904309i
\(26\) −3.21098 1.64001i −0.629724 0.321632i
\(27\) 2.20621 4.70454i 0.424585 0.905388i
\(28\) −0.258819 0.965926i −0.0489122 0.182543i
\(29\) 4.11308 + 2.37469i 0.763779 + 0.440968i 0.830651 0.556794i \(-0.187969\pi\)
−0.0668719 + 0.997762i \(0.521302\pi\)
\(30\) 0.441528 + 1.11374i 0.0806116 + 0.203340i
\(31\) 1.27428 1.27428i 0.228868 0.228868i −0.583352 0.812220i \(-0.698259\pi\)
0.812220 + 0.583352i \(0.198259\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −0.656685 + 1.51934i −0.114314 + 0.264484i
\(34\) −1.63375 1.63375i −0.280186 0.280186i
\(35\) 0.599034 0.345852i 0.101255 0.0584597i
\(36\) 2.05556 + 2.18510i 0.342594 + 0.364183i
\(37\) 1.67070 0.447663i 0.274662 0.0735954i −0.118859 0.992911i \(-0.537924\pi\)
0.393521 + 0.919316i \(0.371257\pi\)
\(38\) 0.679430 0.110218
\(39\) −1.03820 6.15810i −0.166244 0.986085i
\(40\) −0.691704 −0.109368
\(41\) 9.15496 2.45307i 1.42977 0.383104i 0.540828 0.841133i \(-0.318111\pi\)
0.888937 + 0.458029i \(0.151444\pi\)
\(42\) 1.07526 1.35787i 0.165917 0.209524i
\(43\) 0.759424 0.438454i 0.115811 0.0668635i −0.440976 0.897519i \(-0.645367\pi\)
0.556787 + 0.830656i \(0.312034\pi\)
\(44\) −0.675726 0.675726i −0.101870 0.101870i
\(45\) −1.09194 + 1.76458i −0.162777 + 0.263049i
\(46\) −0.117614 + 0.438941i −0.0173412 + 0.0647183i
\(47\) 7.33090 7.33090i 1.06932 1.06932i 0.0719102 0.997411i \(-0.477091\pi\)
0.997411 0.0719102i \(-0.0229095\pi\)
\(48\) −1.61014 + 0.638319i −0.232404 + 0.0921334i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) 1.17026 + 4.36748i 0.165500 + 0.617655i
\(51\) 0.582861 3.95918i 0.0816169 0.554396i
\(52\) 3.52603 + 0.753063i 0.488973 + 0.104431i
\(53\) 10.0392i 1.37899i −0.724291 0.689495i \(-0.757833\pi\)
0.724291 0.689495i \(-0.242167\pi\)
\(54\) −0.913408 + 5.11524i −0.124299 + 0.696096i
\(55\) 0.330504 0.572449i 0.0445651 0.0771891i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 0.702057 + 0.944452i 0.0929897 + 0.125096i
\(58\) −4.58754 1.22923i −0.602373 0.161405i
\(59\) 11.3752 + 3.04796i 1.48092 + 0.396811i 0.906660 0.421863i \(-0.138624\pi\)
0.574259 + 0.818674i \(0.305290\pi\)
\(60\) −0.714740 0.961515i −0.0922726 0.124131i
\(61\) 6.88600 + 11.9269i 0.881662 + 1.52708i 0.849493 + 0.527601i \(0.176908\pi\)
0.0321692 + 0.999482i \(0.489758\pi\)
\(62\) −0.901054 + 1.56067i −0.114434 + 0.198205i
\(63\) 2.99860 + 0.0915937i 0.377788 + 0.0115397i
\(64\) 1.00000i 0.125000i
\(65\) 0.128104 + 2.49068i 0.0158894 + 0.308931i
\(66\) 0.241074 1.63754i 0.0296742 0.201567i
\(67\) −2.53037 9.44348i −0.309134 1.15370i −0.929328 0.369256i \(-0.879613\pi\)
0.620194 0.784449i \(-0.287054\pi\)
\(68\) 2.00093 + 1.15524i 0.242648 + 0.140093i
\(69\) −0.731687 + 0.290068i −0.0880848 + 0.0349201i
\(70\) −0.489109 + 0.489109i −0.0584597 + 0.0584597i
\(71\) −0.951706 + 3.55182i −0.112947 + 0.421523i −0.999125 0.0418212i \(-0.986684\pi\)
0.886178 + 0.463344i \(0.153351\pi\)
\(72\) −2.55107 1.57862i −0.300646 0.186043i
\(73\) −4.44812 4.44812i −0.520613 0.520613i 0.397144 0.917756i \(-0.370001\pi\)
−0.917756 + 0.397144i \(0.870001\pi\)
\(74\) −1.49791 + 0.864819i −0.174129 + 0.100533i
\(75\) −4.86185 + 6.13967i −0.561398 + 0.708948i
\(76\) −0.656279 + 0.175849i −0.0752803 + 0.0201713i
\(77\) −0.955622 −0.108903
\(78\) 2.59665 + 5.67956i 0.294013 + 0.643083i
\(79\) −3.18127 −0.357921 −0.178960 0.983856i \(-0.557273\pi\)
−0.178960 + 0.983856i \(0.557273\pi\)
\(80\) 0.668135 0.179026i 0.0746998 0.0200157i
\(81\) −8.05435 + 4.01590i −0.894928 + 0.446211i
\(82\) −8.20812 + 4.73896i −0.906435 + 0.523330i
\(83\) 0.476958 + 0.476958i 0.0523529 + 0.0523529i 0.732799 0.680446i \(-0.238214\pi\)
−0.680446 + 0.732799i \(0.738214\pi\)
\(84\) −0.687181 + 1.58990i −0.0749776 + 0.173472i
\(85\) −0.413635 + 1.54371i −0.0448650 + 0.167439i
\(86\) −0.620067 + 0.620067i −0.0668635 + 0.0668635i
\(87\) −3.03161 7.64715i −0.325023 0.819860i
\(88\) 0.827593 + 0.477811i 0.0882217 + 0.0509348i
\(89\) 0.780848 + 2.91416i 0.0827697 + 0.308901i 0.994883 0.101039i \(-0.0322165\pi\)
−0.912113 + 0.409939i \(0.865550\pi\)
\(90\) 0.598025 1.98707i 0.0630374 0.209456i
\(91\) 3.02578 1.96078i 0.317188 0.205546i
\(92\) 0.454425i 0.0473771i
\(93\) −3.10050 + 0.360122i −0.321507 + 0.0373429i
\(94\) −5.18373 + 8.97848i −0.534661 + 0.926059i
\(95\) −0.234982 0.407001i −0.0241087 0.0417574i
\(96\) 1.39007 1.03330i 0.141873 0.105461i
\(97\) −11.6671 3.12620i −1.18462 0.317417i −0.387860 0.921718i \(-0.626786\pi\)
−0.796756 + 0.604301i \(0.793452\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) 2.52538 1.35696i 0.253811 0.136380i
\(100\) −2.26077 3.91577i −0.226077 0.391577i
\(101\) −6.62431 + 11.4736i −0.659143 + 1.14167i 0.321695 + 0.946843i \(0.395748\pi\)
−0.980838 + 0.194826i \(0.937586\pi\)
\(102\) 0.461711 + 3.97513i 0.0457162 + 0.393597i
\(103\) 14.5464i 1.43330i 0.697435 + 0.716649i \(0.254325\pi\)
−0.697435 + 0.716649i \(0.745675\pi\)
\(104\) −3.60079 + 0.185201i −0.353087 + 0.0181604i
\(105\) −1.18529 0.174496i −0.115673 0.0170290i
\(106\) 2.59834 + 9.69712i 0.252373 + 0.941867i
\(107\) 1.64456 + 0.949487i 0.158986 + 0.0917903i 0.577382 0.816474i \(-0.304074\pi\)
−0.418396 + 0.908265i \(0.637408\pi\)
\(108\) −0.441637 5.17735i −0.0424965 0.498191i
\(109\) 5.65529 5.65529i 0.541679 0.541679i −0.382342 0.924021i \(-0.624882\pi\)
0.924021 + 0.382342i \(0.124882\pi\)
\(110\) −0.171081 + 0.638484i −0.0163120 + 0.0608771i
\(111\) −2.74995 1.18857i −0.261014 0.112814i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) −11.7563 + 6.78749i −1.10594 + 0.638514i −0.937774 0.347245i \(-0.887117\pi\)
−0.168164 + 0.985759i \(0.553784\pi\)
\(114\) −0.922577 0.730565i −0.0864073 0.0684237i
\(115\) 0.303617 0.0813540i 0.0283124 0.00758630i
\(116\) 4.74937 0.440968
\(117\) −5.21183 + 9.47823i −0.481834 + 0.876262i
\(118\) −11.7764 −1.08411
\(119\) 2.23175 0.597994i 0.204584 0.0548181i
\(120\) 0.939245 + 0.743764i 0.0857409 + 0.0678960i
\(121\) 8.73541 5.04339i 0.794129 0.458490i
\(122\) −9.73827 9.73827i −0.881662 0.881662i
\(123\) −15.0689 6.51304i −1.35872 0.587261i
\(124\) 0.466420 1.74070i 0.0418857 0.156320i
\(125\) 4.65707 4.65707i 0.416541 0.416541i
\(126\) −2.92013 + 0.687622i −0.260146 + 0.0612583i
\(127\) −7.37225 4.25637i −0.654181 0.377692i 0.135875 0.990726i \(-0.456615\pi\)
−0.790056 + 0.613034i \(0.789949\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −1.50265 0.221217i −0.132301 0.0194770i
\(130\) −0.768375 2.37266i −0.0673910 0.208096i
\(131\) 3.60145i 0.314660i −0.987546 0.157330i \(-0.949711\pi\)
0.987546 0.157330i \(-0.0502886\pi\)
\(132\) 0.190966 + 1.64413i 0.0166214 + 0.143103i
\(133\) −0.339715 + 0.588403i −0.0294570 + 0.0510210i
\(134\) 4.88830 + 8.46679i 0.422285 + 0.731419i
\(135\) 3.38010 1.22195i 0.290913 0.105169i
\(136\) −2.23175 0.597994i −0.191371 0.0512776i
\(137\) −4.13009 1.10665i −0.352857 0.0945478i 0.0780364 0.996951i \(-0.475135\pi\)
−0.430894 + 0.902403i \(0.641802\pi\)
\(138\) 0.631680 0.469559i 0.0537722 0.0399715i
\(139\) 8.79259 + 15.2292i 0.745778 + 1.29173i 0.949830 + 0.312766i \(0.101255\pi\)
−0.204052 + 0.978960i \(0.565411\pi\)
\(140\) 0.345852 0.599034i 0.0292298 0.0506276i
\(141\) −17.8370 + 2.07177i −1.50215 + 0.174474i
\(142\) 3.67711i 0.308576i
\(143\) 1.56723 3.06848i 0.131058 0.256599i
\(144\) 2.87272 + 0.864568i 0.239393 + 0.0720473i
\(145\) 0.850262 + 3.17322i 0.0706104 + 0.263522i
\(146\) 5.44781 + 3.14529i 0.450864 + 0.260306i
\(147\) 0.638319 + 1.61014i 0.0526477 + 0.132802i
\(148\) 1.22304 1.22304i 0.100533 0.100533i
\(149\) −3.20516 + 11.9618i −0.262577 + 0.979949i 0.701140 + 0.713023i \(0.252675\pi\)
−0.963717 + 0.266926i \(0.913992\pi\)
\(150\) 3.10712 7.18881i 0.253695 0.586963i
\(151\) −6.54217 6.54217i −0.532394 0.532394i 0.388890 0.921284i \(-0.372859\pi\)
−0.921284 + 0.388890i \(0.872859\pi\)
\(152\) 0.588403 0.339715i 0.0477258 0.0275545i
\(153\) −5.04861 + 4.74933i −0.408156 + 0.383960i
\(154\) 0.923060 0.247333i 0.0743823 0.0199307i
\(155\) 1.24653 0.100123
\(156\) −3.97815 4.81397i −0.318507 0.385426i
\(157\) −0.344590 −0.0275013 −0.0137506 0.999905i \(-0.504377\pi\)
−0.0137506 + 0.999905i \(0.504377\pi\)
\(158\) 3.07287 0.823373i 0.244465 0.0655041i
\(159\) −10.7948 + 13.6319i −0.856081 + 1.08108i
\(160\) −0.599034 + 0.345852i −0.0473578 + 0.0273420i
\(161\) −0.321327 0.321327i −0.0253241 0.0253241i
\(162\) 6.74051 5.96368i 0.529585 0.468551i
\(163\) 2.09998 7.83722i 0.164483 0.613858i −0.833623 0.552334i \(-0.813737\pi\)
0.998106 0.0615241i \(-0.0195961\pi\)
\(164\) 6.70190 6.70190i 0.523330 0.523330i
\(165\) −1.06431 + 0.421934i −0.0828568 + 0.0328475i
\(166\) −0.584151 0.337260i −0.0453389 0.0261765i
\(167\) −4.79071 17.8792i −0.370716 1.38353i −0.859504 0.511129i \(-0.829227\pi\)
0.488788 0.872403i \(-0.337439\pi\)
\(168\) 0.252269 1.71358i 0.0194630 0.132206i
\(169\) 1.33374 + 12.9314i 0.102595 + 0.994723i
\(170\) 1.59816i 0.122574i
\(171\) 0.0622315 2.03734i 0.00475896 0.155799i
\(172\) 0.438454 0.759424i 0.0334318 0.0579055i
\(173\) 5.44635 + 9.43336i 0.414079 + 0.717205i 0.995331 0.0965181i \(-0.0307706\pi\)
−0.581253 + 0.813723i \(0.697437\pi\)
\(174\) 4.90754 + 6.60194i 0.372040 + 0.500492i
\(175\) −4.36748 1.17026i −0.330150 0.0884635i
\(176\) −0.923060 0.247333i −0.0695782 0.0186434i
\(177\) −12.1686 16.3700i −0.914649 1.23045i
\(178\) −1.50848 2.61277i −0.113066 0.195835i
\(179\) 1.11063 1.92368i 0.0830127 0.143782i −0.821530 0.570165i \(-0.806879\pi\)
0.904543 + 0.426383i \(0.140212\pi\)
\(180\) −0.0633558 + 2.07415i −0.00472226 + 0.154598i
\(181\) 6.51249i 0.484069i 0.970268 + 0.242035i \(0.0778148\pi\)
−0.970268 + 0.242035i \(0.922185\pi\)
\(182\) −2.41519 + 2.67710i −0.179026 + 0.198440i
\(183\) 3.47425 23.5994i 0.256824 1.74452i
\(184\) 0.117614 + 0.438941i 0.00867060 + 0.0323591i
\(185\) 1.03611 + 0.598199i 0.0761764 + 0.0439805i
\(186\) 2.90164 1.15032i 0.212759 0.0843455i
\(187\) 1.56125 1.56125i 0.114170 0.114170i
\(188\) 2.68329 10.0142i 0.195699 0.730360i
\(189\) −3.97322 3.34866i −0.289010 0.243579i
\(190\) 0.332315 + 0.332315i 0.0241087 + 0.0241087i
\(191\) 0.590207 0.340756i 0.0427059 0.0246563i −0.478495 0.878090i \(-0.658818\pi\)
0.521201 + 0.853434i \(0.325484\pi\)
\(192\) −1.07526 + 1.35787i −0.0776004 + 0.0979958i
\(193\) 12.6264 3.38324i 0.908869 0.243531i 0.226048 0.974116i \(-0.427419\pi\)
0.682821 + 0.730585i \(0.260753\pi\)
\(194\) 12.0787 0.867199
\(195\) 2.50419 3.51977i 0.179329 0.252056i
\(196\) −1.00000 −0.0714286
\(197\) −3.46619 + 0.928764i −0.246956 + 0.0661717i −0.380174 0.924915i \(-0.624136\pi\)
0.133218 + 0.991087i \(0.457469\pi\)
\(198\) −2.08813 + 1.96434i −0.148397 + 0.139600i
\(199\) 8.29160 4.78716i 0.587776 0.339353i −0.176442 0.984311i \(-0.556459\pi\)
0.764218 + 0.644958i \(0.223125\pi\)
\(200\) 3.19722 + 3.19722i 0.226077 + 0.226077i
\(201\) −6.71830 + 15.5438i −0.473872 + 1.09638i
\(202\) 3.42899 12.7972i 0.241263 0.900406i
\(203\) 3.35831 3.35831i 0.235707 0.235707i
\(204\) −1.47482 3.72018i −0.103258 0.260465i
\(205\) 5.67759 + 3.27796i 0.396540 + 0.228942i
\(206\) −3.76488 14.0507i −0.262312 0.978960i
\(207\) 1.30544 + 0.392881i 0.0907340 + 0.0273071i
\(208\) 3.43016 1.11084i 0.237839 0.0770232i
\(209\) 0.649278i 0.0449115i
\(210\) 1.19007 0.138226i 0.0821224 0.00953850i
\(211\) −10.7025 + 18.5373i −0.736792 + 1.27616i 0.217140 + 0.976140i \(0.430327\pi\)
−0.953932 + 0.300022i \(0.903006\pi\)
\(212\) −5.01960 8.69420i −0.344747 0.597120i
\(213\) 5.11143 3.79957i 0.350229 0.260342i
\(214\) −1.83427 0.491490i −0.125388 0.0335976i
\(215\) 0.585892 + 0.156989i 0.0399575 + 0.0107066i
\(216\) 1.76659 + 4.88663i 0.120201 + 0.332493i
\(217\) −0.901054 1.56067i −0.0611675 0.105945i
\(218\) −3.99889 + 6.92629i −0.270839 + 0.469107i
\(219\) 1.25707 + 10.8229i 0.0849451 + 0.731341i
\(220\) 0.661008i 0.0445651i
\(221\) −1.73993 + 8.14680i −0.117040 + 0.548013i
\(222\) 2.96387 + 0.436335i 0.198922 + 0.0292849i
\(223\) 5.63645 + 21.0355i 0.377445 + 1.40864i 0.849740 + 0.527202i \(0.176759\pi\)
−0.472295 + 0.881440i \(0.656574\pi\)
\(224\) 0.866025 + 0.500000i 0.0578638 + 0.0334077i
\(225\) 13.2035 3.10912i 0.880234 0.207274i
\(226\) 9.59897 9.59897i 0.638514 0.638514i
\(227\) −5.82374 + 21.7345i −0.386535 + 1.44257i 0.449198 + 0.893432i \(0.351710\pi\)
−0.835733 + 0.549136i \(0.814957\pi\)
\(228\) 1.08023 + 0.466891i 0.0715397 + 0.0309206i
\(229\) 9.41590 + 9.41590i 0.622220 + 0.622220i 0.946099 0.323879i \(-0.104987\pi\)
−0.323879 + 0.946099i \(0.604987\pi\)
\(230\) −0.272216 + 0.157164i −0.0179494 + 0.0103631i
\(231\) 1.29761 + 1.02754i 0.0853765 + 0.0676074i
\(232\) −4.58754 + 1.22923i −0.301187 + 0.0807027i
\(233\) −6.19134 −0.405608 −0.202804 0.979219i \(-0.565005\pi\)
−0.202804 + 0.979219i \(0.565005\pi\)
\(234\) 2.58110 10.5042i 0.168732 0.686680i
\(235\) 7.17121 0.467798
\(236\) 11.3752 3.04796i 0.740459 0.198405i
\(237\) 4.31975 + 3.42070i 0.280598 + 0.222198i
\(238\) −2.00093 + 1.15524i −0.129701 + 0.0748829i
\(239\) −10.4405 10.4405i −0.675342 0.675342i 0.283601 0.958942i \(-0.408471\pi\)
−0.958942 + 0.283601i \(0.908471\pi\)
\(240\) −1.09974 0.475326i −0.0709880 0.0306822i
\(241\) 3.14908 11.7525i 0.202850 0.757046i −0.787244 0.616641i \(-0.788493\pi\)
0.990094 0.140405i \(-0.0448403\pi\)
\(242\) −7.13244 + 7.13244i −0.458490 + 0.458490i
\(243\) 15.2549 + 3.20747i 0.978603 + 0.205759i
\(244\) 11.9269 + 6.88600i 0.763542 + 0.440831i
\(245\) −0.179026 0.668135i −0.0114376 0.0426856i
\(246\) 16.2412 + 2.39099i 1.03550 + 0.152444i
\(247\) −1.33222 2.05580i −0.0847668 0.130808i
\(248\) 1.80211i 0.114434i
\(249\) −0.134792 1.16050i −0.00854210 0.0735438i
\(250\) −3.29305 + 5.70372i −0.208271 + 0.360735i
\(251\) −3.51417 6.08672i −0.221812 0.384190i 0.733546 0.679640i \(-0.237864\pi\)
−0.955358 + 0.295450i \(0.904531\pi\)
\(252\) 2.64266 1.41998i 0.166472 0.0894502i
\(253\) −0.419461 0.112394i −0.0263713 0.00706617i
\(254\) 8.22267 + 2.20326i 0.515936 + 0.138245i
\(255\) 2.22155 1.65139i 0.139119 0.103414i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 1.65180 2.86099i 0.103036 0.178464i −0.809898 0.586571i \(-0.800478\pi\)
0.912934 + 0.408107i \(0.133811\pi\)
\(258\) 1.50870 0.175236i 0.0939279 0.0109097i
\(259\) 1.72964i 0.107474i
\(260\) 1.35628 + 2.09294i 0.0841131 + 0.129799i
\(261\) −4.10615 + 13.6436i −0.254165 + 0.844519i
\(262\) 0.932123 + 3.47873i 0.0575868 + 0.214917i
\(263\) 8.77075 + 5.06379i 0.540828 + 0.312247i 0.745414 0.666601i \(-0.232252\pi\)
−0.204587 + 0.978848i \(0.565585\pi\)
\(264\) −0.609991 1.53868i −0.0375424 0.0946995i
\(265\) 4.91026 4.91026i 0.301635 0.301635i
\(266\) 0.175849 0.656279i 0.0107820 0.0402390i
\(267\) 2.07320 4.79667i 0.126878 0.293552i
\(268\) −6.91311 6.91311i −0.422285 0.422285i
\(269\) −2.87311 + 1.65879i −0.175177 + 0.101138i −0.585025 0.811016i \(-0.698915\pi\)
0.409848 + 0.912154i \(0.365582\pi\)
\(270\) −2.94867 + 2.05515i −0.179450 + 0.125073i
\(271\) 10.8523 2.90785i 0.659228 0.176640i 0.0863303 0.996267i \(-0.472486\pi\)
0.572897 + 0.819627i \(0.305819\pi\)
\(272\) 2.31047 0.140093
\(273\) −6.21697 0.591013i −0.376268 0.0357697i
\(274\) 4.27578 0.258310
\(275\) −4.17366 + 1.11833i −0.251681 + 0.0674377i
\(276\) −0.488626 + 0.617050i −0.0294118 + 0.0371420i
\(277\) 24.9930 14.4297i 1.50168 0.866997i 0.501685 0.865050i \(-0.332714\pi\)
0.999998 0.00194697i \(-0.000619740\pi\)
\(278\) −12.4346 12.4346i −0.745778 0.745778i
\(279\) 4.59730 + 2.84485i 0.275233 + 0.170317i
\(280\) −0.179026 + 0.668135i −0.0106989 + 0.0399287i
\(281\) −14.0821 + 14.0821i −0.840066 + 0.840066i −0.988867 0.148802i \(-0.952458\pi\)
0.148802 + 0.988867i \(0.452458\pi\)
\(282\) 16.6930 6.61774i 0.994056 0.394081i
\(283\) −0.407336 0.235175i −0.0242136 0.0139797i 0.487844 0.872931i \(-0.337783\pi\)
−0.512058 + 0.858951i \(0.671117\pi\)
\(284\) 0.951706 + 3.55182i 0.0564734 + 0.210762i
\(285\) −0.118558 + 0.805322i −0.00702275 + 0.0477032i
\(286\) −0.719643 + 3.36955i −0.0425534 + 0.199246i
\(287\) 9.47792i 0.559464i
\(288\) −2.99860 0.0915937i −0.176694 0.00539721i
\(289\) 5.83086 10.0993i 0.342992 0.594079i
\(290\) −1.64258 2.84503i −0.0964556 0.167066i
\(291\) 12.4810 + 16.7902i 0.731646 + 0.984258i
\(292\) −6.07624 1.62812i −0.355585 0.0952787i
\(293\) −20.9122 5.60342i −1.22171 0.327355i −0.410361 0.911923i \(-0.634597\pi\)
−0.811345 + 0.584568i \(0.801264\pi\)
\(294\) −1.03330 1.39007i −0.0602635 0.0810703i
\(295\) 4.07290 + 7.05447i 0.237133 + 0.410727i
\(296\) −0.864819 + 1.49791i −0.0502666 + 0.0870643i
\(297\) −4.88823 0.872873i −0.283644 0.0506492i
\(298\) 12.3838i 0.717373i
\(299\) 1.55875 0.504795i 0.0901449 0.0291930i
\(300\) −1.14065 + 7.74803i −0.0658553 + 0.447333i
\(301\) −0.226960 0.847027i −0.0130818 0.0488218i
\(302\) 8.01249 + 4.62601i 0.461067 + 0.266197i
\(303\) 21.3321 8.45684i 1.22550 0.485833i
\(304\) −0.480429 + 0.480429i −0.0275545 + 0.0275545i
\(305\) −2.46555 + 9.20155i −0.141177 + 0.526879i
\(306\) 3.64737 5.89417i 0.208506 0.336947i
\(307\) −12.1224 12.1224i −0.691861 0.691861i 0.270780 0.962641i \(-0.412718\pi\)
−0.962641 + 0.270780i \(0.912718\pi\)
\(308\) −0.827593 + 0.477811i −0.0471565 + 0.0272258i
\(309\) 15.6412 19.7521i 0.889795 1.12366i
\(310\) −1.20405 + 0.322625i −0.0683855 + 0.0183238i
\(311\) −16.1442 −0.915452 −0.457726 0.889093i \(-0.651336\pi\)
−0.457726 + 0.889093i \(0.651336\pi\)
\(312\) 5.08855 + 3.62032i 0.288082 + 0.204960i
\(313\) 4.95586 0.280122 0.140061 0.990143i \(-0.455270\pi\)
0.140061 + 0.990143i \(0.455270\pi\)
\(314\) 0.332848 0.0891865i 0.0187837 0.00503308i
\(315\) 1.42184 + 1.51144i 0.0801118 + 0.0851601i
\(316\) −2.75506 + 1.59064i −0.154984 + 0.0894802i
\(317\) −2.01058 2.01058i −0.112925 0.112925i 0.648386 0.761312i \(-0.275444\pi\)
−0.761312 + 0.648386i \(0.775444\pi\)
\(318\) 6.89874 15.9613i 0.386862 0.895066i
\(319\) 1.17468 4.38395i 0.0657693 0.245454i
\(320\) 0.489109 0.489109i 0.0273420 0.0273420i
\(321\) −1.21215 3.05761i −0.0676556 0.170659i
\(322\) 0.393543 + 0.227212i 0.0219313 + 0.0126620i
\(323\) −0.406295 1.51631i −0.0226069 0.0843700i
\(324\) −4.96732 + 7.50504i −0.275962 + 0.416947i
\(325\) 10.9204 12.1046i 0.605754 0.671444i
\(326\) 8.11369i 0.449375i
\(327\) −13.7601 + 1.59823i −0.760933 + 0.0883823i
\(328\) −4.73896 + 8.20812i −0.261665 + 0.453217i
\(329\) −5.18373 8.97848i −0.285788 0.495000i
\(330\) 0.918844 0.683021i 0.0505807 0.0375991i
\(331\) −16.0182 4.29205i −0.880438 0.235913i −0.209842 0.977735i \(-0.567295\pi\)
−0.670596 + 0.741823i \(0.733962\pi\)
\(332\) 0.651536 + 0.174579i 0.0357577 + 0.00958125i
\(333\) 2.45605 + 4.57085i 0.134591 + 0.250481i
\(334\) 9.25494 + 16.0300i 0.506408 + 0.877124i
\(335\) 3.38126 5.85652i 0.184738 0.319976i
\(336\) 0.199834 + 1.72048i 0.0109018 + 0.0938601i
\(337\) 16.5753i 0.902916i −0.892292 0.451458i \(-0.850904\pi\)
0.892292 0.451458i \(-0.149096\pi\)
\(338\) −4.63519 12.1456i −0.252121 0.660632i
\(339\) 23.2618 + 3.42455i 1.26341 + 0.185996i
\(340\) 0.413635 + 1.54371i 0.0224325 + 0.0837193i
\(341\) −1.49141 0.861067i −0.0807644 0.0466294i
\(342\) 0.467191 + 1.98402i 0.0252628 + 0.107284i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −0.226960 + 0.847027i −0.0122369 + 0.0456686i
\(345\) −0.499749 0.216000i −0.0269056 0.0116290i
\(346\) −7.70231 7.70231i −0.414079 0.414079i
\(347\) −12.7078 + 7.33688i −0.682193 + 0.393864i −0.800681 0.599091i \(-0.795529\pi\)
0.118488 + 0.992956i \(0.462195\pi\)
\(348\) −6.44903 5.10682i −0.345704 0.273754i
\(349\) −13.4718 + 3.60976i −0.721129 + 0.193226i −0.600676 0.799493i \(-0.705102\pi\)
−0.120454 + 0.992719i \(0.538435\pi\)
\(350\) 4.52155 0.241687
\(351\) 17.2686 7.26611i 0.921728 0.387836i
\(352\) 0.955622 0.0509348
\(353\) −9.52698 + 2.55275i −0.507070 + 0.135869i −0.503279 0.864124i \(-0.667873\pi\)
−0.00379078 + 0.999993i \(0.501207\pi\)
\(354\) 15.9909 + 12.6627i 0.849904 + 0.673017i
\(355\) −2.20271 + 1.27174i −0.116908 + 0.0674968i
\(356\) 2.13332 + 2.13332i 0.113066 + 0.113066i
\(357\) −3.67342 1.58771i −0.194418 0.0840307i
\(358\) −0.574907 + 2.14558i −0.0303848 + 0.113397i
\(359\) 25.7702 25.7702i 1.36010 1.36010i 0.486318 0.873782i \(-0.338340\pi\)
0.873782 0.486318i \(-0.161660\pi\)
\(360\) −0.475631 2.01987i −0.0250680 0.106456i
\(361\) −16.0547 9.26919i −0.844984 0.487852i
\(362\) −1.68556 6.29058i −0.0885909 0.330626i
\(363\) −17.2845 2.54459i −0.907202 0.133556i
\(364\) 1.64001 3.21098i 0.0859597 0.168301i
\(365\) 4.35123i 0.227754i
\(366\) 2.75211 + 23.6945i 0.143855 + 1.23853i
\(367\) −12.2275 + 21.1787i −0.638271 + 1.10552i 0.347541 + 0.937665i \(0.387017\pi\)
−0.985812 + 0.167853i \(0.946317\pi\)
\(368\) −0.227212 0.393543i −0.0118443 0.0205149i
\(369\) 13.4584 + 25.0469i 0.700618 + 1.30389i
\(370\) −1.15563 0.309651i −0.0600784 0.0160980i
\(371\) −9.69712 2.59834i −0.503449 0.134899i
\(372\) −2.50505 + 1.86212i −0.129881 + 0.0965466i
\(373\) 17.1444 + 29.6949i 0.887703 + 1.53755i 0.842584 + 0.538565i \(0.181033\pi\)
0.0451184 + 0.998982i \(0.485633\pi\)
\(374\) −1.10397 + 1.91213i −0.0570849 + 0.0988739i
\(375\) −11.3313 + 1.31613i −0.585144 + 0.0679644i
\(376\) 10.3675i 0.534661i
\(377\) 5.27581 + 16.2911i 0.271718 + 0.839035i
\(378\) 4.70454 + 2.20621i 0.241975 + 0.113475i
\(379\) 3.05664 + 11.4075i 0.157009 + 0.585966i 0.998925 + 0.0463569i \(0.0147611\pi\)
−0.841916 + 0.539609i \(0.818572\pi\)
\(380\) −0.407001 0.234982i −0.0208787 0.0120543i
\(381\) 5.43384 + 13.7067i 0.278384 + 0.702215i
\(382\) −0.481902 + 0.481902i −0.0246563 + 0.0246563i
\(383\) 5.32445 19.8711i 0.272067 1.01537i −0.685715 0.727870i \(-0.740510\pi\)
0.957782 0.287496i \(-0.0928230\pi\)
\(384\) 0.687181 1.58990i 0.0350676 0.0811343i
\(385\) −0.467403 0.467403i −0.0238211 0.0238211i
\(386\) −11.3205 + 6.53591i −0.576200 + 0.332669i
\(387\) 1.80254 + 1.91613i 0.0916282 + 0.0974022i
\(388\) −11.6671 + 3.12620i −0.592308 + 0.158709i
\(389\) −1.98079 −0.100430 −0.0502151 0.998738i \(-0.515991\pi\)
−0.0502151 + 0.998738i \(0.515991\pi\)
\(390\) −1.50788 + 4.04797i −0.0763543 + 0.204977i
\(391\) 1.04994 0.0530975
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) −3.87250 + 4.89030i −0.195342 + 0.246683i
\(394\) 3.10771 1.79423i 0.156564 0.0903922i
\(395\) −1.55599 1.55599i −0.0782902 0.0782902i
\(396\) 1.50857 2.43786i 0.0758083 0.122507i
\(397\) 8.96772 33.4680i 0.450077 1.67971i −0.252094 0.967703i \(-0.581119\pi\)
0.702171 0.712008i \(-0.252214\pi\)
\(398\) −6.77006 + 6.77006i −0.339353 + 0.339353i
\(399\) 1.09398 0.433693i 0.0547673 0.0217118i
\(400\) −3.91577 2.26077i −0.195789 0.113039i
\(401\) −6.92912 25.8598i −0.346024 1.29138i −0.891412 0.453194i \(-0.850284\pi\)
0.545388 0.838183i \(-0.316382\pi\)
\(402\) 2.46634 16.7530i 0.123010 0.835564i
\(403\) 6.48901 0.333752i 0.323241 0.0166254i
\(404\) 13.2486i 0.659143i
\(405\) −5.90367 1.97524i −0.293355 0.0981506i
\(406\) −2.37469 + 4.11308i −0.117854 + 0.204129i
\(407\) −0.826440 1.43144i −0.0409651 0.0709536i
\(408\) 2.38742 + 3.21171i 0.118195 + 0.159003i
\(409\) −15.2615 4.08931i −0.754633 0.202203i −0.139061 0.990284i \(-0.544408\pi\)
−0.615572 + 0.788081i \(0.711075\pi\)
\(410\) −6.33253 1.69680i −0.312741 0.0837988i
\(411\) 4.41818 + 5.94362i 0.217933 + 0.293177i
\(412\) 7.27319 + 12.5975i 0.358324 + 0.620636i
\(413\) 5.88821 10.1987i 0.289740 0.501844i
\(414\) −1.36264 0.0416224i −0.0669700 0.00204563i
\(415\) 0.466568i 0.0229029i
\(416\) −3.02578 + 1.96078i −0.148351 + 0.0961354i
\(417\) 4.43620 30.1336i 0.217242 1.47565i
\(418\) −0.168045 0.627154i −0.00821937 0.0306751i
\(419\) −1.43075 0.826043i −0.0698966 0.0403548i 0.464644 0.885497i \(-0.346182\pi\)
−0.534541 + 0.845143i \(0.679515\pi\)
\(420\) −1.11374 + 0.441528i −0.0543450 + 0.0215444i
\(421\) 5.05280 5.05280i 0.246259 0.246259i −0.573175 0.819433i \(-0.694288\pi\)
0.819433 + 0.573175i \(0.194288\pi\)
\(422\) 5.54004 20.6757i 0.269685 1.00648i
\(423\) 26.4481 + 16.3663i 1.28595 + 0.795757i
\(424\) 7.09878 + 7.09878i 0.344747 + 0.344747i
\(425\) 9.04729 5.22345i 0.438858 0.253375i
\(426\) −3.95386 + 4.99304i −0.191565 + 0.241914i
\(427\) 13.3027 3.56446i 0.643764 0.172496i
\(428\) 1.89897 0.0917903
\(429\) −5.42751 + 2.48142i −0.262043 + 0.119804i
\(430\) −0.606560 −0.0292509
\(431\) −8.60327 + 2.30524i −0.414405 + 0.111039i −0.459997 0.887921i \(-0.652149\pi\)
0.0455917 + 0.998960i \(0.485483\pi\)
\(432\) −2.97114 4.26290i −0.142949 0.205099i
\(433\) −11.2117 + 6.47306i −0.538798 + 0.311075i −0.744592 0.667520i \(-0.767356\pi\)
0.205794 + 0.978595i \(0.434022\pi\)
\(434\) 1.27428 + 1.27428i 0.0611675 + 0.0611675i
\(435\) 2.25750 5.22308i 0.108239 0.250427i
\(436\) 2.06998 7.72527i 0.0991340 0.369973i
\(437\) −0.218319 + 0.218319i −0.0104436 + 0.0104436i
\(438\) −4.01540 10.1287i −0.191863 0.483969i
\(439\) −35.4886 20.4894i −1.69378 0.977904i −0.951417 0.307906i \(-0.900372\pi\)
−0.742363 0.669998i \(-0.766295\pi\)
\(440\) 0.171081 + 0.638484i 0.00815598 + 0.0304385i
\(441\) 0.864568 2.87272i 0.0411699 0.136796i
\(442\) −0.427902 8.31953i −0.0203532 0.395720i
\(443\) 37.6638i 1.78946i 0.446607 + 0.894730i \(0.352632\pi\)
−0.446607 + 0.894730i \(0.647368\pi\)
\(444\) −2.97581 + 0.345640i −0.141226 + 0.0164034i
\(445\) −1.04342 + 1.80726i −0.0494630 + 0.0856725i
\(446\) −10.8888 18.8599i −0.515599 0.893043i
\(447\) 17.2143 12.7962i 0.814207 0.605239i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) −24.8854 6.66802i −1.17441 0.314683i −0.381705 0.924284i \(-0.624663\pi\)
−0.792709 + 0.609601i \(0.791330\pi\)
\(450\) −11.9489 + 6.42050i −0.563277 + 0.302665i
\(451\) −4.52865 7.84385i −0.213246 0.369353i
\(452\) −6.78749 + 11.7563i −0.319257 + 0.552969i
\(453\) 1.84887 + 15.9180i 0.0868675 + 0.747891i
\(454\) 22.5012i 1.05603i
\(455\) 2.43897 + 0.520897i 0.114341 + 0.0244200i
\(456\) −1.16426 0.171399i −0.0545214 0.00802651i
\(457\) 3.53106 + 13.1781i 0.165176 + 0.616446i 0.998018 + 0.0629344i \(0.0200459\pi\)
−0.832841 + 0.553512i \(0.813287\pi\)
\(458\) −11.5321 6.65805i −0.538858 0.311110i
\(459\) 11.9621 1.02039i 0.558344 0.0476277i
\(460\) 0.222263 0.222263i 0.0103631 0.0103631i
\(461\) −3.32582 + 12.4121i −0.154899 + 0.578090i 0.844215 + 0.536004i \(0.180067\pi\)
−0.999114 + 0.0420857i \(0.986600\pi\)
\(462\) −1.51934 0.656685i −0.0706862 0.0305517i
\(463\) 2.61340 + 2.61340i 0.121455 + 0.121455i 0.765222 0.643767i \(-0.222629\pi\)
−0.643767 + 0.765222i \(0.722629\pi\)
\(464\) 4.11308 2.37469i 0.190945 0.110242i
\(465\) −1.69262 1.34034i −0.0784934 0.0621569i
\(466\) 5.98038 1.60244i 0.277036 0.0742314i
\(467\) −26.4925 −1.22593 −0.612963 0.790111i \(-0.710023\pi\)
−0.612963 + 0.790111i \(0.710023\pi\)
\(468\) 0.225534 + 10.8143i 0.0104253 + 0.499891i
\(469\) −9.77661 −0.451442
\(470\) −6.92686 + 1.85605i −0.319512 + 0.0856130i
\(471\) 0.467908 + 0.370525i 0.0215601 + 0.0170729i
\(472\) −10.1987 + 5.88821i −0.469432 + 0.271027i
\(473\) −0.592549 0.592549i −0.0272454 0.0272454i
\(474\) −5.05790 2.18611i −0.232317 0.100411i
\(475\) −0.795111 + 2.96739i −0.0364822 + 0.136153i
\(476\) 1.63375 1.63375i 0.0748829 0.0748829i
\(477\) 29.3158 6.90318i 1.34228 0.316075i
\(478\) 12.7870 + 7.38257i 0.584863 + 0.337671i
\(479\) 3.48343 + 13.0003i 0.159162 + 0.594001i 0.998713 + 0.0507198i \(0.0161516\pi\)
−0.839551 + 0.543281i \(0.817182\pi\)
\(480\) 1.18529 + 0.174496i 0.0541009 + 0.00796461i
\(481\) 5.55383 + 2.83662i 0.253233 + 0.129339i
\(482\) 12.1671i 0.554196i
\(483\) 0.0908095 + 0.781831i 0.00413197 + 0.0355745i
\(484\) 5.04339 8.73541i 0.229245 0.397064i
\(485\) −4.17744 7.23554i −0.189688 0.328549i
\(486\) −15.5653 + 0.850080i −0.706055 + 0.0385604i
\(487\) −37.8914 10.1530i −1.71702 0.460075i −0.739894 0.672723i \(-0.765124\pi\)
−0.977129 + 0.212649i \(0.931791\pi\)
\(488\) −13.3027 3.56446i −0.602186 0.161355i
\(489\) −11.2786 + 8.38390i −0.510034 + 0.379133i
\(490\) 0.345852 + 0.599034i 0.0156240 + 0.0270616i
\(491\) 8.73726 15.1334i 0.394307 0.682960i −0.598705 0.800969i \(-0.704318\pi\)
0.993012 + 0.118009i \(0.0376513\pi\)
\(492\) −16.3066 + 1.89401i −0.735159 + 0.0853885i
\(493\) 10.9733i 0.494212i
\(494\) 1.81890 + 1.64095i 0.0818363 + 0.0738298i
\(495\) 1.89889 + 0.571486i 0.0853488 + 0.0256864i
\(496\) −0.466420 1.74070i −0.0209429 0.0781598i
\(497\) 3.18447 + 1.83856i 0.142843 + 0.0824705i
\(498\) 0.430559 + 1.08607i 0.0192938 + 0.0486680i
\(499\) −24.8719 + 24.8719i −1.11342 + 1.11342i −0.120736 + 0.992685i \(0.538525\pi\)
−0.992685 + 0.120736i \(0.961475\pi\)
\(500\) 1.70461 6.36168i 0.0762323 0.284503i
\(501\) −12.7196 + 29.4289i −0.568271 + 1.31478i
\(502\) 4.96979 + 4.96979i 0.221812 + 0.221812i
\(503\) 2.94409 1.69977i 0.131271 0.0757891i −0.432927 0.901429i \(-0.642519\pi\)
0.564197 + 0.825640i \(0.309186\pi\)
\(504\) −2.18510 + 2.05556i −0.0973320 + 0.0915621i
\(505\) −8.85186 + 2.37185i −0.393903 + 0.105546i
\(506\) 0.434258 0.0193051
\(507\) 12.0936 18.9933i 0.537096 0.843521i
\(508\) −8.51274 −0.377692
\(509\) 13.5551 3.63207i 0.600817 0.160989i 0.0544250 0.998518i \(-0.482667\pi\)
0.546392 + 0.837529i \(0.316001\pi\)
\(510\) −1.71845 + 2.17010i −0.0760940 + 0.0960936i
\(511\) −5.44781 + 3.14529i −0.240997 + 0.139140i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −2.27518 + 2.69953i −0.100451 + 0.119187i
\(514\) −0.855032 + 3.19102i −0.0377138 + 0.140750i
\(515\) −7.11476 + 7.11476i −0.313514 + 0.313514i
\(516\) −1.41194 + 0.559746i −0.0621573 + 0.0246415i
\(517\) −8.58003 4.95368i −0.377349 0.217863i
\(518\) 0.447663 + 1.67070i 0.0196692 + 0.0734064i
\(519\) 2.74790 18.6655i 0.120619 0.819326i
\(520\) −1.85176 1.67060i −0.0812052 0.0732605i
\(521\) 36.5045i 1.59929i 0.600473 + 0.799645i \(0.294979\pi\)
−0.600473 + 0.799645i \(0.705021\pi\)
\(522\) 0.435013 14.2415i 0.0190400 0.623332i
\(523\) −6.98395 + 12.0965i −0.305387 + 0.528945i −0.977347 0.211642i \(-0.932119\pi\)
0.671961 + 0.740587i \(0.265452\pi\)
\(524\) −1.80072 3.11895i −0.0786650 0.136252i
\(525\) 4.67213 + 6.28525i 0.203908 + 0.274311i
\(526\) −9.78250 2.62121i −0.426537 0.114290i
\(527\) 4.02185 + 1.07765i 0.175194 + 0.0469432i
\(528\) 0.987447 + 1.32838i 0.0429731 + 0.0578102i
\(529\) 11.3967 + 19.7397i 0.495511 + 0.858250i
\(530\) −3.47208 + 6.01382i −0.150817 + 0.261223i
\(531\) −1.07865 + 35.3128i −0.0468093 + 1.53244i
\(532\) 0.679430i 0.0294570i
\(533\) 30.4334 + 15.5438i 1.31822 + 0.673279i
\(534\) −0.761088 + 5.16981i −0.0329355 + 0.223720i
\(535\) 0.339966 + 1.26877i 0.0146980 + 0.0548537i
\(536\) 8.46679 + 4.88830i 0.365710 + 0.211143i
\(537\) −3.57655 + 1.41788i −0.154340 + 0.0611860i
\(538\) 2.34589 2.34589i 0.101138 0.101138i
\(539\) −0.247333 + 0.923060i −0.0106534 + 0.0397590i
\(540\) 2.31628 2.74830i 0.0996768 0.118268i
\(541\) −31.4285 31.4285i −1.35122 1.35122i −0.884301 0.466917i \(-0.845365\pi\)
−0.466917 0.884301i \(-0.654635\pi\)
\(542\) −9.72987 + 5.61754i −0.417934 + 0.241294i
\(543\) 7.00263 8.84311i 0.300512 0.379494i
\(544\) −2.23175 + 0.597994i −0.0956853 + 0.0256388i
\(545\) 5.53210 0.236969
\(546\) 6.15810 1.03820i 0.263542 0.0444307i
\(547\) −19.0132 −0.812944 −0.406472 0.913663i \(-0.633241\pi\)
−0.406472 + 0.913663i \(0.633241\pi\)
\(548\) −4.13009 + 1.10665i −0.176429 + 0.0472739i
\(549\) −30.0932 + 28.3092i −1.28434 + 1.20821i
\(550\) 3.74200 2.16044i 0.159559 0.0921216i
\(551\) −2.28174 2.28174i −0.0972053 0.0972053i
\(552\) 0.312272 0.722490i 0.0132912 0.0307512i
\(553\) −0.823373 + 3.07287i −0.0350134 + 0.130672i
\(554\) −20.4067 + 20.4067i −0.866997 + 0.866997i
\(555\) −0.763683 1.92637i −0.0324166 0.0817697i
\(556\) 15.2292 + 8.79259i 0.645863 + 0.372889i
\(557\) −9.57033 35.7170i −0.405508 1.51338i −0.803117 0.595822i \(-0.796826\pi\)
0.397609 0.917555i \(-0.369840\pi\)
\(558\) −5.17695 1.55804i −0.219158 0.0659573i
\(559\) 3.09200 + 0.660366i 0.130778 + 0.0279305i
\(560\) 0.691704i 0.0292298i
\(561\) −3.79872 + 0.441221i −0.160382 + 0.0186284i
\(562\) 9.95752 17.2469i 0.420033 0.727518i
\(563\) 17.6157 + 30.5113i 0.742414 + 1.28590i 0.951393 + 0.307979i \(0.0996526\pi\)
−0.208979 + 0.977920i \(0.567014\pi\)
\(564\) −14.4114 + 10.7127i −0.606831 + 0.451087i
\(565\) −9.06993 2.43028i −0.381575 0.102243i
\(566\) 0.454324 + 0.121736i 0.0190967 + 0.00511694i
\(567\) 1.79444 + 8.81930i 0.0753594 + 0.370376i
\(568\) −1.83856 3.18447i −0.0771441 0.133617i
\(569\) 10.5121 18.2075i 0.440690 0.763298i −0.557051 0.830479i \(-0.688067\pi\)
0.997741 + 0.0671807i \(0.0214004\pi\)
\(570\) −0.0939149 0.808566i −0.00393366 0.0338671i
\(571\) 26.4973i 1.10888i 0.832225 + 0.554439i \(0.187067\pi\)
−0.832225 + 0.554439i \(0.812933\pi\)
\(572\) −0.176982 3.44099i −0.00739999 0.143875i
\(573\) −1.16783 0.171925i −0.0487867 0.00718226i
\(574\) 2.45307 + 9.15496i 0.102389 + 0.382121i
\(575\) −1.77942 1.02735i −0.0742071 0.0428435i
\(576\) 2.92013 0.687622i 0.121672 0.0286509i
\(577\) −2.94218 + 2.94218i −0.122484 + 0.122484i −0.765692 0.643208i \(-0.777603\pi\)
0.643208 + 0.765692i \(0.277603\pi\)
\(578\) −3.01827 + 11.2644i −0.125544 + 0.468535i
\(579\) −20.7829 8.98271i −0.863708 0.373309i
\(580\) 2.32296 + 2.32296i 0.0964556 + 0.0964556i
\(581\) 0.584151 0.337260i 0.0242347 0.0139919i
\(582\) −16.4013 12.9878i −0.679855 0.538360i
\(583\) −9.26678 + 2.48303i −0.383791 + 0.102836i
\(584\) 6.29059 0.260306
\(585\) −7.18504 + 2.08673i −0.297065 + 0.0862757i
\(586\) 21.6499 0.894351
\(587\) 36.5825 9.80224i 1.50992 0.404582i 0.593511 0.804826i \(-0.297741\pi\)
0.916409 + 0.400244i \(0.131075\pi\)
\(588\) 1.35787 + 1.07526i 0.0559976 + 0.0443431i
\(589\) −1.06037 + 0.612203i −0.0436916 + 0.0252254i
\(590\) −5.75995 5.75995i −0.237133 0.237133i
\(591\) 5.70531 + 2.46593i 0.234685 + 0.101435i
\(592\) 0.447663 1.67070i 0.0183988 0.0686654i
\(593\) 24.3689 24.3689i 1.00071 1.00071i 0.000709316 1.00000i \(-0.499774\pi\)
1.00000 0.000709316i \(-0.000225782\pi\)
\(594\) 4.94759 0.422038i 0.203002 0.0173164i
\(595\) 1.38405 + 0.799082i 0.0567405 + 0.0327592i
\(596\) 3.20516 + 11.9618i 0.131288 + 0.489975i
\(597\) −16.4064 2.41531i −0.671468 0.0988519i
\(598\) −1.37499 + 0.891029i −0.0562274 + 0.0364369i
\(599\) 20.6846i 0.845148i −0.906328 0.422574i \(-0.861127\pi\)
0.906328 0.422574i \(-0.138873\pi\)
\(600\) −0.903558 7.77925i −0.0368876 0.317586i
\(601\) 14.7216 25.4985i 0.600506 1.04011i −0.392238 0.919864i \(-0.628299\pi\)
0.992744 0.120243i \(-0.0383675\pi\)
\(602\) 0.438454 + 0.759424i 0.0178700 + 0.0309518i
\(603\) 25.8363 13.8826i 1.05213 0.565342i
\(604\) −8.93677 2.39460i −0.363632 0.0974349i
\(605\) 6.73934 + 1.80580i 0.273993 + 0.0734162i
\(606\) −18.4165 + 13.6898i −0.748117 + 0.556112i
\(607\) −18.5803 32.1820i −0.754151 1.30623i −0.945795 0.324763i \(-0.894716\pi\)
0.191645 0.981464i \(-0.438618\pi\)
\(608\) 0.339715 0.588403i 0.0137773 0.0238629i
\(609\) −8.17122 + 0.949086i −0.331114 + 0.0384589i
\(610\) 9.52615i 0.385703i
\(611\) 37.3310 1.92006i 1.51025 0.0776774i
\(612\) −1.99756 + 6.63734i −0.0807466 + 0.268299i
\(613\) 4.52043 + 16.8705i 0.182579 + 0.681393i 0.995136 + 0.0985114i \(0.0314081\pi\)
−0.812557 + 0.582881i \(0.801925\pi\)
\(614\) 14.8468 + 8.57182i 0.599169 + 0.345931i
\(615\) −4.18476 10.5559i −0.168746 0.425656i
\(616\) 0.675726 0.675726i 0.0272258 0.0272258i
\(617\) −2.26152 + 8.44012i −0.0910455 + 0.339786i −0.996390 0.0848911i \(-0.972946\pi\)
0.905345 + 0.424677i \(0.139612\pi\)
\(618\) −9.99599 + 23.1273i −0.402098 + 0.930316i
\(619\) 27.9324 + 27.9324i 1.12270 + 1.12270i 0.991334 + 0.131363i \(0.0419352\pi\)
0.131363 + 0.991334i \(0.458065\pi\)
\(620\) 1.07952 0.623263i 0.0433547 0.0250308i
\(621\) −1.35016 1.93717i −0.0541801 0.0777358i
\(622\) 15.5941 4.17842i 0.625266 0.167539i
\(623\) 3.01696 0.120872
\(624\) −5.85217 2.17994i −0.234274 0.0872676i
\(625\) −18.0521 −0.722084
\(626\) −4.78700 + 1.28267i −0.191327 + 0.0512659i
\(627\) 0.698144 0.881635i 0.0278812 0.0352091i
\(628\) −0.298424 + 0.172295i −0.0119084 + 0.00687532i
\(629\) 2.82580 + 2.82580i 0.112672 + 0.112672i
\(630\) −1.76458 1.09194i −0.0703027 0.0435040i
\(631\) 0.387029 1.44441i 0.0154074 0.0575011i −0.957794 0.287455i \(-0.907191\pi\)
0.973202 + 0.229954i \(0.0738575\pi\)
\(632\) 2.24950 2.24950i 0.0894802 0.0894802i
\(633\) 34.4651 13.6633i 1.36987 0.543066i
\(634\) 2.46245 + 1.42170i 0.0977963 + 0.0564627i
\(635\) −1.52400 5.68766i −0.0604782 0.225708i
\(636\) −2.53258 + 17.2030i −0.100423 + 0.682142i
\(637\) −1.11084 3.43016i −0.0440132 0.135908i
\(638\) 4.53860i 0.179685i
\(639\) −11.0262 0.336800i −0.436189 0.0133236i
\(640\) −0.345852 + 0.599034i −0.0136710 + 0.0236789i
\(641\) 3.68067 + 6.37511i 0.145378 + 0.251802i 0.929514 0.368787i \(-0.120227\pi\)
−0.784136 + 0.620589i \(0.786894\pi\)
\(642\) 1.96222 + 2.63970i 0.0774425 + 0.104181i
\(643\) −9.91929 2.65787i −0.391179 0.104816i 0.0578682 0.998324i \(-0.481570\pi\)
−0.449047 + 0.893508i \(0.648236\pi\)
\(644\) −0.438941 0.117614i −0.0172967 0.00463463i
\(645\) −0.626761 0.843159i −0.0246787 0.0331994i
\(646\) 0.784902 + 1.35949i 0.0308816 + 0.0534884i
\(647\) −3.54406 + 6.13848i −0.139331 + 0.241329i −0.927244 0.374459i \(-0.877829\pi\)
0.787912 + 0.615787i \(0.211162\pi\)
\(648\) 2.85562 8.53495i 0.112179 0.335285i
\(649\) 11.2538i 0.441750i
\(650\) −7.41537 + 14.5186i −0.290855 + 0.569466i
\(651\) −0.454616 + 3.08806i −0.0178178 + 0.121031i
\(652\) −2.09998 7.83722i −0.0822414 0.306929i
\(653\) −17.8645 10.3141i −0.699092 0.403621i 0.107917 0.994160i \(-0.465582\pi\)
−0.807009 + 0.590539i \(0.798915\pi\)
\(654\) 12.8776 5.10514i 0.503552 0.199627i
\(655\) 1.76150 1.76150i 0.0688275 0.0688275i
\(656\) 2.45307 9.15496i 0.0957761 0.357441i
\(657\) 9.93047 16.0477i 0.387424 0.626081i
\(658\) 7.33090 + 7.33090i 0.285788 + 0.285788i
\(659\) −40.1163 + 23.1612i −1.56271 + 0.902231i −0.565729 + 0.824591i \(0.691405\pi\)
−0.996981 + 0.0776400i \(0.975262\pi\)
\(660\) −0.710756 + 0.897562i −0.0276662 + 0.0349376i
\(661\) 14.0298 3.75929i 0.545698 0.146219i 0.0245703 0.999698i \(-0.492178\pi\)
0.521128 + 0.853479i \(0.325512\pi\)
\(662\) 16.5832 0.644525
\(663\) 11.1225 9.19141i 0.431964 0.356965i
\(664\) −0.674520 −0.0261765
\(665\) −0.453951 + 0.121636i −0.0176035 + 0.00471683i
\(666\) −3.55538 3.77943i −0.137768 0.146450i
\(667\) 1.86908 1.07912i 0.0723712 0.0417835i
\(668\) −13.0885 13.0885i −0.506408 0.506408i
\(669\) 14.9651 34.6242i 0.578585 1.33865i
\(670\) −1.75027 + 6.53210i −0.0676188 + 0.252357i
\(671\) 9.30610 9.30610i 0.359258 0.359258i
\(672\) −0.638319 1.61014i −0.0246237 0.0621125i
\(673\) 15.0031 + 8.66207i 0.578329 + 0.333898i 0.760469 0.649374i \(-0.224969\pi\)
−0.182140 + 0.983273i \(0.558302\pi\)
\(674\) 4.29001 + 16.0106i 0.165245 + 0.616703i
\(675\) −21.2718 9.97546i −0.818751 0.383956i
\(676\) 7.62075 + 10.5321i 0.293106 + 0.405079i
\(677\) 36.1386i 1.38892i 0.719532 + 0.694460i \(0.244357\pi\)
−0.719532 + 0.694460i \(0.755643\pi\)
\(678\) −23.3556 + 2.71274i −0.896965 + 0.104182i
\(679\) −6.03935 + 10.4605i −0.231769 + 0.401435i
\(680\) −0.799082 1.38405i −0.0306434 0.0530759i
\(681\) 31.2782 23.2506i 1.19858 0.890964i
\(682\) 1.66345 + 0.445721i 0.0636969 + 0.0170675i
\(683\) 9.12410 + 2.44479i 0.349124 + 0.0935475i 0.429119 0.903248i \(-0.358824\pi\)
−0.0799956 + 0.996795i \(0.525491\pi\)
\(684\) −0.964775 1.79550i −0.0368891 0.0686528i
\(685\) −1.47879 2.56134i −0.0565016 0.0978637i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) −2.66101 22.9101i −0.101524 0.874076i
\(688\) 0.876907i 0.0334318i
\(689\) 24.2465 26.8759i 0.923720 1.02389i
\(690\) 0.538626 + 0.0792952i 0.0205051 + 0.00301872i
\(691\) −8.04837 30.0369i −0.306174 1.14266i −0.931930 0.362639i \(-0.881876\pi\)
0.625756 0.780019i \(-0.284791\pi\)
\(692\) 9.43336 + 5.44635i 0.358603 + 0.207039i
\(693\) −0.657107 2.79054i −0.0249614 0.106004i
\(694\) 10.3759 10.3759i 0.393864 0.393864i
\(695\) −3.14821 + 11.7493i −0.119418 + 0.445676i
\(696\) 7.55103 + 3.26368i 0.286221 + 0.123709i
\(697\) 15.4846 + 15.4846i 0.586519 + 0.586519i
\(698\) 12.0785 6.97352i 0.457178 0.263952i
\(699\) 8.40704 + 6.65731i 0.317983 + 0.251803i
\(700\) −4.36748 + 1.17026i −0.165075 + 0.0442317i
\(701\) 46.7837 1.76700 0.883498 0.468434i \(-0.155182\pi\)
0.883498 + 0.468434i \(0.155182\pi\)
\(702\) −14.7996 + 11.4880i −0.558573 + 0.433585i
\(703\) −1.17517 −0.0443223
\(704\) −0.923060 + 0.247333i −0.0347891 + 0.00932172i
\(705\) −9.73758 7.71093i −0.366738 0.290411i
\(706\) 8.54166 4.93153i 0.321470 0.185601i
\(707\) 9.36819 + 9.36819i 0.352327 + 0.352327i
\(708\) −18.7233 8.09253i −0.703666 0.304136i
\(709\) −4.08957 + 15.2625i −0.153587 + 0.573194i 0.845635 + 0.533761i \(0.179222\pi\)
−0.999222 + 0.0394332i \(0.987445\pi\)
\(710\) 1.79851 1.79851i 0.0674968 0.0674968i
\(711\) −2.18751 9.28973i −0.0820382 0.348392i
\(712\) −2.61277 1.50848i −0.0979176 0.0565328i
\(713\) −0.211953 0.791018i −0.00793769 0.0296239i
\(714\) 3.95918 + 0.582861i 0.148169 + 0.0218130i
\(715\) 2.26736 0.734276i 0.0847946 0.0274604i
\(716\) 2.22127i 0.0830127i
\(717\) 2.95058 + 25.4032i 0.110191 + 0.948700i
\(718\) −18.2223 + 31.5619i −0.680050 + 1.17788i
\(719\) −21.5484 37.3229i −0.803619 1.39191i −0.917219 0.398383i \(-0.869571\pi\)
0.113600 0.993527i \(-0.463762\pi\)
\(720\) 0.982205 + 1.82794i 0.0366046 + 0.0681233i
\(721\) 14.0507 + 3.76488i 0.523276 + 0.140211i
\(722\) 17.9067 + 4.79808i 0.666418 + 0.178566i
\(723\) −16.9131 + 12.5723i −0.629004 + 0.467569i
\(724\) 3.25624 + 5.63998i 0.121017 + 0.209608i
\(725\) 10.7372 18.5975i 0.398771 0.690692i
\(726\) 17.3542 2.01568i 0.644073 0.0748090i
\(727\) 12.7998i 0.474720i −0.971422 0.237360i \(-0.923718\pi\)
0.971422 0.237360i \(-0.0762821\pi\)
\(728\) −0.753063 + 3.52603i −0.0279104 + 0.130683i
\(729\) −17.2653 20.7584i −0.639456 0.768828i
\(730\) 1.12618 + 4.20296i 0.0416818 + 0.155559i
\(731\) 1.75463 + 1.01303i 0.0648973 + 0.0374685i
\(732\) −8.79093 22.1748i −0.324922 0.819606i
\(733\) 22.4620 22.4620i 0.829652 0.829652i −0.157817 0.987468i \(-0.550445\pi\)
0.987468 + 0.157817i \(0.0504455\pi\)
\(734\) 6.32943 23.6217i 0.233623 0.871894i
\(735\) −0.475326 + 1.09974i −0.0175327 + 0.0405646i
\(736\) 0.321327 + 0.321327i 0.0118443 + 0.0118443i
\(737\) −8.09105 + 4.67137i −0.298038 + 0.172072i
\(738\) −19.4825 20.7102i −0.717160 0.762352i
\(739\) 14.0152 3.75536i 0.515558 0.138143i 0.00834668 0.999965i \(-0.497343\pi\)
0.507211 + 0.861822i \(0.330676\pi\)
\(740\) 1.19640 0.0439805
\(741\) −0.401551 + 4.22399i −0.0147514 + 0.155172i
\(742\) 10.0392 0.368551
\(743\) −21.7841 + 5.83703i −0.799180 + 0.214140i −0.635224 0.772328i \(-0.719092\pi\)
−0.163956 + 0.986468i \(0.552426\pi\)
\(744\) 1.93774 2.44703i 0.0710409 0.0897124i
\(745\) −7.41830 + 4.28296i −0.271785 + 0.156915i
\(746\) −24.2458 24.2458i −0.887703 0.887703i
\(747\) −1.06481 + 1.72075i −0.0389595 + 0.0629588i
\(748\) 0.571456 2.13270i 0.0208945 0.0779794i
\(749\) 1.34278 1.34278i 0.0490640 0.0490640i
\(750\) 10.6045 4.20403i 0.387223 0.153509i
\(751\) 35.4118 + 20.4450i 1.29220 + 0.746049i 0.979043 0.203654i \(-0.0652817\pi\)
0.313152 + 0.949703i \(0.398615\pi\)
\(752\) −2.68329 10.0142i −0.0978497 0.365180i
\(753\) −1.77303 + 12.0436i −0.0646130 + 0.438894i
\(754\) −9.31249 14.3705i −0.339141 0.523344i
\(755\) 6.39967i 0.232908i
\(756\) −5.11524 0.913408i −0.186039 0.0332203i
\(757\) 23.2232 40.2237i 0.844061 1.46196i −0.0423740 0.999102i \(-0.513492\pi\)
0.886435 0.462854i \(-0.153175\pi\)
\(758\) −5.90497 10.2277i −0.214478 0.371487i
\(759\) 0.448720 + 0.603647i 0.0162875 + 0.0219110i
\(760\) 0.453951 + 0.121636i 0.0164665 + 0.00441219i
\(761\) 18.6904 + 5.00807i 0.677526 + 0.181543i 0.581143 0.813802i \(-0.302606\pi\)
0.0963833 + 0.995344i \(0.469273\pi\)
\(762\) −8.79624 11.8333i −0.318654 0.428674i
\(763\) −3.99889 6.92629i −0.144770 0.250748i
\(764\) 0.340756 0.590207i 0.0123281 0.0213529i
\(765\) −4.79226 0.146382i −0.173264 0.00529245i
\(766\) 20.5721i 0.743300i
\(767\) 23.0910 + 35.6328i 0.833769 + 1.28663i
\(768\) −0.252269 + 1.71358i −0.00910299 + 0.0618335i
\(769\) 11.2085 + 41.8307i 0.404189 + 1.50846i 0.805546 + 0.592533i \(0.201872\pi\)
−0.401357 + 0.915922i \(0.631461\pi\)
\(770\) 0.572449 + 0.330504i 0.0206296 + 0.0119105i
\(771\) −5.31924 + 2.10874i −0.191568 + 0.0759446i
\(772\) 9.24318 9.24318i 0.332669 0.332669i
\(773\) −8.99619 + 33.5742i −0.323571 + 1.20758i 0.592171 + 0.805813i \(0.298271\pi\)
−0.915741