Properties

Label 546.2.bv.a.515.15
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.15
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.19913 - 1.24984i) q^{3} +(0.866025 + 0.500000i) q^{4} +(4.04433 + 1.08367i) q^{5} +(-1.48175 + 0.896896i) q^{6} +(-1.05878 + 2.42466i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-0.124198 - 2.99743i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.19913 - 1.24984i) q^{3} +(0.866025 + 0.500000i) q^{4} +(4.04433 + 1.08367i) q^{5} +(-1.48175 + 0.896896i) q^{6} +(-1.05878 + 2.42466i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-0.124198 - 2.99743i) q^{9} +(-3.62604 - 2.09350i) q^{10} +(5.02047 - 1.34523i) q^{11} +(1.66339 - 0.482830i) q^{12} +(-2.74774 - 2.33451i) q^{13} +(1.65025 - 2.06801i) q^{14} +(6.20407 - 3.75530i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-3.25108 + 5.63104i) q^{17} +(-0.655825 + 2.92744i) q^{18} +(0.0105453 - 0.0393557i) q^{19} +(2.96065 + 2.96065i) q^{20} +(1.76083 + 4.23078i) q^{21} -5.19757 q^{22} +(0.836260 + 1.44845i) q^{23} +(-1.73168 + 0.0358606i) q^{24} +(10.8521 + 6.26546i) q^{25} +(2.04990 + 2.96613i) q^{26} +(-3.89523 - 3.43906i) q^{27} +(-2.12926 + 1.57043i) q^{28} -1.23920i q^{29} +(-6.96461 + 2.02161i) q^{30} +(1.08666 - 0.291169i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(4.33885 - 7.88788i) q^{33} +(4.59773 - 4.59773i) q^{34} +(-6.90960 + 8.65874i) q^{35} +(1.39116 - 2.65795i) q^{36} +(-7.25069 - 1.94282i) q^{37} +(-0.0203720 + 0.0352853i) q^{38} +(-6.21264 + 0.634866i) q^{39} +(-2.09350 - 3.62604i) q^{40} +(-2.50827 + 2.50827i) q^{41} +(-0.605821 - 4.54235i) q^{42} -2.91255i q^{43} +(5.02047 + 1.34523i) q^{44} +(2.74594 - 12.2572i) q^{45} +(-0.432880 - 1.61553i) q^{46} +(1.12778 - 4.20894i) q^{47} +(1.68196 + 0.413553i) q^{48} +(-4.75796 - 5.13437i) q^{49} +(-8.86069 - 8.86069i) q^{50} +(3.13944 + 10.8157i) q^{51} +(-1.21236 - 3.39561i) q^{52} +(-2.06893 - 1.19450i) q^{53} +(2.87241 + 4.33004i) q^{54} +21.7622 q^{55} +(2.46317 - 0.965823i) q^{56} +(-0.0365431 - 0.0603723i) q^{57} +(-0.320728 + 1.19697i) q^{58} +(6.99346 - 1.87389i) q^{59} +(7.25053 - 0.150148i) q^{60} +(1.51904 + 2.63106i) q^{61} -1.12499 q^{62} +(7.39925 + 2.87248i) q^{63} +1.00000i q^{64} +(-8.58291 - 12.4192i) q^{65} +(-6.23254 + 6.49613i) q^{66} +(5.09838 - 1.36611i) q^{67} +(-5.63104 + 3.25108i) q^{68} +(2.81311 + 0.691676i) q^{69} +(8.91521 - 6.57537i) q^{70} +(-1.64133 + 1.64133i) q^{71} +(-2.03168 + 2.20732i) q^{72} +(-3.62026 - 13.5110i) q^{73} +(6.50079 + 3.75323i) q^{74} +(20.8438 - 6.05031i) q^{75} +(0.0288104 - 0.0288104i) q^{76} +(-2.05385 + 13.5972i) q^{77} +(6.16527 + 0.994717i) q^{78} +(-1.80883 - 3.13299i) q^{79} +(1.08367 + 4.04433i) q^{80} +(-8.96915 + 0.744551i) q^{81} +(3.07199 - 1.77361i) q^{82} +(-9.53117 + 9.53117i) q^{83} +(-0.590469 + 4.54438i) q^{84} +(-19.2507 + 19.2507i) q^{85} +(-0.753824 + 2.81331i) q^{86} +(-1.54880 - 1.48595i) q^{87} +(-4.50123 - 2.59879i) q^{88} +(2.05741 - 7.67837i) q^{89} +(-5.82476 + 11.1288i) q^{90} +(8.56965 - 4.19060i) q^{91} +1.67252i q^{92} +(0.939124 - 1.70730i) q^{93} +(-2.17871 + 3.77363i) q^{94} +(0.0852974 - 0.147739i) q^{95} +(-1.51761 - 0.834784i) q^{96} +(-6.41874 - 6.41874i) q^{97} +(3.26697 + 6.19088i) q^{98} +(-4.65577 - 14.8814i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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
\(3\) 1.19913 1.24984i 0.692315 0.721595i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 4.04433 + 1.08367i 1.80868 + 0.484634i 0.995277 0.0970716i \(-0.0309476\pi\)
0.813400 + 0.581705i \(0.197614\pi\)
\(6\) −1.48175 + 0.896896i −0.604921 + 0.366156i
\(7\) −1.05878 + 2.42466i −0.400182 + 0.916436i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −0.124198 2.99743i −0.0413994 0.999143i
\(10\) −3.62604 2.09350i −1.14666 0.662022i
\(11\) 5.02047 1.34523i 1.51373 0.405602i 0.596057 0.802942i \(-0.296733\pi\)
0.917672 + 0.397340i \(0.130067\pi\)
\(12\) 1.66339 0.482830i 0.480180 0.139381i
\(13\) −2.74774 2.33451i −0.762086 0.647476i
\(14\) 1.65025 2.06801i 0.441049 0.552699i
\(15\) 6.20407 3.75530i 1.60188 0.969614i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −3.25108 + 5.63104i −0.788504 + 1.36573i 0.138380 + 0.990379i \(0.455811\pi\)
−0.926883 + 0.375349i \(0.877523\pi\)
\(18\) −0.655825 + 2.92744i −0.154579 + 0.690004i
\(19\) 0.0105453 0.0393557i 0.00241926 0.00902881i −0.964706 0.263331i \(-0.915179\pi\)
0.967125 + 0.254302i \(0.0818457\pi\)
\(20\) 2.96065 + 2.96065i 0.662022 + 0.662022i
\(21\) 1.76083 + 4.23078i 0.384244 + 0.923232i
\(22\) −5.19757 −1.10813
\(23\) 0.836260 + 1.44845i 0.174372 + 0.302022i 0.939944 0.341329i \(-0.110877\pi\)
−0.765572 + 0.643351i \(0.777544\pi\)
\(24\) −1.73168 + 0.0358606i −0.353478 + 0.00732002i
\(25\) 10.8521 + 6.26546i 2.17042 + 1.25309i
\(26\) 2.04990 + 2.96613i 0.402018 + 0.581706i
\(27\) −3.89523 3.43906i −0.749638 0.661848i
\(28\) −2.12926 + 1.57043i −0.402393 + 0.296783i
\(29\) 1.23920i 0.230113i −0.993359 0.115057i \(-0.963295\pi\)
0.993359 0.115057i \(-0.0367050\pi\)
\(30\) −6.96461 + 2.02161i −1.27156 + 0.369093i
\(31\) 1.08666 0.291169i 0.195170 0.0522955i −0.159910 0.987132i \(-0.551120\pi\)
0.355080 + 0.934836i \(0.384454\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) 4.33885 7.88788i 0.755297 1.37310i
\(34\) 4.59773 4.59773i 0.788504 0.788504i
\(35\) −6.90960 + 8.65874i −1.16794 + 1.46359i
\(36\) 1.39116 2.65795i 0.231859 0.442991i
\(37\) −7.25069 1.94282i −1.19201 0.319397i −0.392328 0.919825i \(-0.628330\pi\)
−0.799679 + 0.600428i \(0.794997\pi\)
\(38\) −0.0203720 + 0.0352853i −0.00330477 + 0.00572404i
\(39\) −6.21264 + 0.634866i −0.994819 + 0.101660i
\(40\) −2.09350 3.62604i −0.331011 0.573328i
\(41\) −2.50827 + 2.50827i −0.391726 + 0.391726i −0.875302 0.483576i \(-0.839338\pi\)
0.483576 + 0.875302i \(0.339338\pi\)
\(42\) −0.605821 4.54235i −0.0934802 0.700900i
\(43\) 2.91255i 0.444160i −0.975028 0.222080i \(-0.928715\pi\)
0.975028 0.222080i \(-0.0712846\pi\)
\(44\) 5.02047 + 1.34523i 0.756864 + 0.202801i
\(45\) 2.74594 12.2572i 0.409340 1.82719i
\(46\) −0.432880 1.61553i −0.0638247 0.238197i
\(47\) 1.12778 4.20894i 0.164504 0.613937i −0.833599 0.552370i \(-0.813724\pi\)
0.998103 0.0615667i \(-0.0196097\pi\)
\(48\) 1.68196 + 0.413553i 0.242769 + 0.0596912i
\(49\) −4.75796 5.13437i −0.679709 0.733482i
\(50\) −8.86069 8.86069i −1.25309 1.25309i
\(51\) 3.13944 + 10.8157i 0.439610 + 1.51450i
\(52\) −1.21236 3.39561i −0.168124 0.470887i
\(53\) −2.06893 1.19450i −0.284189 0.164077i 0.351129 0.936327i \(-0.385798\pi\)
−0.635318 + 0.772250i \(0.719131\pi\)
\(54\) 2.87241 + 4.33004i 0.390886 + 0.589244i
\(55\) 21.7622 2.93441
\(56\) 2.46317 0.965823i 0.329154 0.129063i
\(57\) −0.0365431 0.0603723i −0.00484025 0.00799651i
\(58\) −0.320728 + 1.19697i −0.0421137 + 0.157170i
\(59\) 6.99346 1.87389i 0.910471 0.243960i 0.226964 0.973903i \(-0.427120\pi\)
0.683508 + 0.729943i \(0.260454\pi\)
\(60\) 7.25053 0.150148i 0.936039 0.0193841i
\(61\) 1.51904 + 2.63106i 0.194494 + 0.336873i 0.946734 0.322015i \(-0.104360\pi\)
−0.752241 + 0.658888i \(0.771027\pi\)
\(62\) −1.12499 −0.142874
\(63\) 7.39925 + 2.87248i 0.932217 + 0.361899i
\(64\) 1.00000i 0.125000i
\(65\) −8.58291 12.4192i −1.06458 1.54041i
\(66\) −6.23254 + 6.49613i −0.767173 + 0.799619i
\(67\) 5.09838 1.36611i 0.622866 0.166896i 0.0664357 0.997791i \(-0.478837\pi\)
0.556430 + 0.830894i \(0.312171\pi\)
\(68\) −5.63104 + 3.25108i −0.682864 + 0.394252i
\(69\) 2.81311 + 0.691676i 0.338658 + 0.0832680i
\(70\) 8.91521 6.57537i 1.06557 0.785907i
\(71\) −1.64133 + 1.64133i −0.194790 + 0.194790i −0.797762 0.602972i \(-0.793983\pi\)
0.602972 + 0.797762i \(0.293983\pi\)
\(72\) −2.03168 + 2.20732i −0.239436 + 0.260136i
\(73\) −3.62026 13.5110i −0.423719 1.58134i −0.766705 0.642000i \(-0.778105\pi\)
0.342986 0.939341i \(-0.388562\pi\)
\(74\) 6.50079 + 3.75323i 0.755702 + 0.436305i
\(75\) 20.8438 6.05031i 2.40684 0.698629i
\(76\) 0.0288104 0.0288104i 0.00330477 0.00330477i
\(77\) −2.05385 + 13.5972i −0.234058 + 1.54955i
\(78\) 6.16527 + 0.994717i 0.698079 + 0.112630i
\(79\) −1.80883 3.13299i −0.203510 0.352489i 0.746147 0.665781i \(-0.231901\pi\)
−0.949657 + 0.313292i \(0.898568\pi\)
\(80\) 1.08367 + 4.04433i 0.121158 + 0.452169i
\(81\) −8.96915 + 0.744551i −0.996572 + 0.0827279i
\(82\) 3.07199 1.77361i 0.339244 0.195863i
\(83\) −9.53117 + 9.53117i −1.04618 + 1.04618i −0.0473011 + 0.998881i \(0.515062\pi\)
−0.998881 + 0.0473011i \(0.984938\pi\)
\(84\) −0.590469 + 4.54438i −0.0644255 + 0.495832i
\(85\) −19.2507 + 19.2507i −2.08803 + 2.08803i
\(86\) −0.753824 + 2.81331i −0.0812870 + 0.303367i
\(87\) −1.54880 1.48595i −0.166049 0.159311i
\(88\) −4.50123 2.59879i −0.479833 0.277032i
\(89\) 2.05741 7.67837i 0.218085 0.813906i −0.766972 0.641680i \(-0.778238\pi\)
0.985058 0.172226i \(-0.0550958\pi\)
\(90\) −5.82476 + 11.1288i −0.613983 + 1.17308i
\(91\) 8.56965 4.19060i 0.898343 0.439294i
\(92\) 1.67252i 0.174372i
\(93\) 0.939124 1.70730i 0.0973826 0.177038i
\(94\) −2.17871 + 3.77363i −0.224716 + 0.389220i
\(95\) 0.0852974 0.147739i 0.00875133 0.0151577i
\(96\) −1.51761 0.834784i −0.154890 0.0851997i
\(97\) −6.41874 6.41874i −0.651724 0.651724i 0.301684 0.953408i \(-0.402451\pi\)
−0.953408 + 0.301684i \(0.902451\pi\)
\(98\) 3.26697 + 6.19088i 0.330013 + 0.625373i
\(99\) −4.65577 14.8814i −0.467922 1.49564i
\(100\) 6.26546 + 10.8521i 0.626546 + 1.08521i
\(101\) −3.27576 + 5.67378i −0.325950 + 0.564562i −0.981704 0.190412i \(-0.939017\pi\)
0.655754 + 0.754975i \(0.272351\pi\)
\(102\) −0.233172 11.2597i −0.0230875 1.11487i
\(103\) −10.4446 + 6.03018i −1.02913 + 0.594171i −0.916737 0.399492i \(-0.869187\pi\)
−0.112398 + 0.993663i \(0.535853\pi\)
\(104\) 0.292198 + 3.59369i 0.0286524 + 0.352390i
\(105\) 2.53657 + 19.0188i 0.247544 + 1.85605i
\(106\) 1.68927 + 1.68927i 0.164077 + 0.164077i
\(107\) 15.2387 8.79805i 1.47318 0.850539i 0.473633 0.880722i \(-0.342942\pi\)
0.999544 + 0.0301828i \(0.00960895\pi\)
\(108\) −1.65384 4.92593i −0.159141 0.473998i
\(109\) −11.5647 + 3.09875i −1.10770 + 0.296806i −0.765895 0.642966i \(-0.777704\pi\)
−0.341801 + 0.939772i \(0.611037\pi\)
\(110\) −21.0207 5.63247i −2.00424 0.537035i
\(111\) −11.1227 + 6.73252i −1.05572 + 0.639023i
\(112\) −2.62921 + 0.295399i −0.248437 + 0.0279126i
\(113\) 7.36671i 0.693002i 0.938050 + 0.346501i \(0.112630\pi\)
−0.938050 + 0.346501i \(0.887370\pi\)
\(114\) 0.0196724 + 0.0677732i 0.00184249 + 0.00634755i
\(115\) 1.81247 + 6.76422i 0.169013 + 0.630766i
\(116\) 0.619599 1.07318i 0.0575283 0.0996420i
\(117\) −6.65626 + 8.52609i −0.615371 + 0.788238i
\(118\) −7.24017 −0.666511
\(119\) −10.2112 13.8448i −0.936058 1.26915i
\(120\) −7.04234 1.73154i −0.642874 0.158068i
\(121\) 13.8692 8.00738i 1.26084 0.727944i
\(122\) −0.786315 2.93457i −0.0711896 0.265683i
\(123\) 0.127206 + 6.14266i 0.0114698 + 0.553865i
\(124\) 1.08666 + 0.291169i 0.0975848 + 0.0261478i
\(125\) 22.2964 + 22.2964i 1.99425 + 1.99425i
\(126\) −6.40367 4.68967i −0.570484 0.417789i
\(127\) 7.02101i 0.623014i 0.950244 + 0.311507i \(0.100834\pi\)
−0.950244 + 0.311507i \(0.899166\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) −3.64022 3.49252i −0.320504 0.307499i
\(130\) 5.07613 + 14.2174i 0.445206 + 1.24695i
\(131\) 3.96808 2.29097i 0.346693 0.200163i −0.316535 0.948581i \(-0.602519\pi\)
0.663228 + 0.748418i \(0.269186\pi\)
\(132\) 7.70149 4.66168i 0.670329 0.405747i
\(133\) 0.0842590 + 0.0672379i 0.00730618 + 0.00583026i
\(134\) −5.27823 −0.455970
\(135\) −12.0268 18.1299i −1.03510 1.56037i
\(136\) 6.28061 1.68288i 0.538558 0.144306i
\(137\) −12.2163 + 3.27335i −1.04371 + 0.279661i −0.739650 0.672991i \(-0.765009\pi\)
−0.304060 + 0.952653i \(0.598342\pi\)
\(138\) −2.53823 1.39619i −0.216069 0.118852i
\(139\) −5.27391 −0.447327 −0.223663 0.974666i \(-0.571802\pi\)
−0.223663 + 0.974666i \(0.571802\pi\)
\(140\) −10.3133 + 4.04389i −0.871630 + 0.341771i
\(141\) −3.90815 6.45659i −0.329125 0.543743i
\(142\) 2.01021 1.16060i 0.168693 0.0973950i
\(143\) −16.9354 8.02398i −1.41621 0.670999i
\(144\) 2.53375 1.60627i 0.211146 0.133856i
\(145\) 1.34289 5.01172i 0.111521 0.416201i
\(146\) 13.9876i 1.15762i
\(147\) −12.1225 0.210065i −0.999850 0.0173258i
\(148\) −5.30787 5.30787i −0.436305 0.436305i
\(149\) −7.38577 1.97901i −0.605066 0.162127i −0.0567364 0.998389i \(-0.518069\pi\)
−0.548330 + 0.836262i \(0.684736\pi\)
\(150\) −21.6995 + 0.449367i −1.77176 + 0.0366906i
\(151\) −1.92180 7.17226i −0.156394 0.583670i −0.998982 0.0451114i \(-0.985636\pi\)
0.842588 0.538559i \(-0.181031\pi\)
\(152\) −0.0352853 + 0.0203720i −0.00286202 + 0.00165239i
\(153\) 17.2824 + 9.04552i 1.39720 + 0.731287i
\(154\) 5.50309 12.6024i 0.443452 1.01553i
\(155\) 4.71033 0.378343
\(156\) −5.69774 2.55651i −0.456184 0.204685i
\(157\) −8.93077 + 15.4685i −0.712753 + 1.23452i 0.251067 + 0.967970i \(0.419219\pi\)
−0.963820 + 0.266554i \(0.914115\pi\)
\(158\) 0.936321 + 3.49440i 0.0744897 + 0.277999i
\(159\) −3.97383 + 1.15348i −0.315145 + 0.0914768i
\(160\) 4.18699i 0.331011i
\(161\) −4.39741 + 0.494061i −0.346564 + 0.0389374i
\(162\) 8.85624 + 1.60221i 0.695812 + 0.125881i
\(163\) 22.0891 + 5.91877i 1.73016 + 0.463594i 0.980219 0.197916i \(-0.0634174\pi\)
0.749936 + 0.661510i \(0.230084\pi\)
\(164\) −3.42636 + 0.918090i −0.267554 + 0.0716908i
\(165\) 26.0956 27.1993i 2.03154 2.11746i
\(166\) 11.6733 6.73955i 0.906020 0.523091i
\(167\) −2.53702 2.53702i −0.196321 0.196321i 0.602100 0.798421i \(-0.294331\pi\)
−0.798421 + 0.602100i \(0.794331\pi\)
\(168\) 1.74652 4.23670i 0.134747 0.326869i
\(169\) 2.10014 + 12.8292i 0.161549 + 0.986865i
\(170\) 23.5771 13.6123i 1.80828 1.04401i
\(171\) −0.119276 0.0267209i −0.00912123 0.00204340i
\(172\) 1.45628 2.52234i 0.111040 0.192327i
\(173\) 9.51216 + 16.4755i 0.723196 + 1.25261i 0.959712 + 0.280985i \(0.0906610\pi\)
−0.236516 + 0.971628i \(0.576006\pi\)
\(174\) 1.11143 + 1.83618i 0.0842575 + 0.139200i
\(175\) −26.6816 + 19.6789i −2.01694 + 1.48758i
\(176\) 3.67524 + 3.67524i 0.277032 + 0.277032i
\(177\) 6.04397 10.9877i 0.454293 0.825889i
\(178\) −3.97462 + 6.88424i −0.297910 + 0.515996i
\(179\) −1.03696 + 1.79606i −0.0775057 + 0.134244i −0.902173 0.431374i \(-0.858029\pi\)
0.824667 + 0.565618i \(0.191362\pi\)
\(180\) 8.50663 9.24205i 0.634047 0.688862i
\(181\) 4.41231i 0.327964i 0.986463 + 0.163982i \(0.0524339\pi\)
−0.986463 + 0.163982i \(0.947566\pi\)
\(182\) −9.36225 + 1.82982i −0.693976 + 0.135635i
\(183\) 5.10993 + 1.25641i 0.377737 + 0.0928765i
\(184\) 0.432880 1.61553i 0.0319124 0.119099i
\(185\) −27.2188 15.7148i −2.00116 1.15537i
\(186\) −1.34901 + 1.40606i −0.0989139 + 0.103097i
\(187\) −8.74692 + 32.6439i −0.639638 + 2.38716i
\(188\) 3.08116 3.08116i 0.224716 0.224716i
\(189\) 12.4628 5.80340i 0.906533 0.422136i
\(190\) −0.120629 + 0.120629i −0.00875133 + 0.00875133i
\(191\) 3.60077 2.07891i 0.260543 0.150424i −0.364039 0.931384i \(-0.618603\pi\)
0.624582 + 0.780959i \(0.285269\pi\)
\(192\) 1.24984 + 1.19913i 0.0901994 + 0.0865394i
\(193\) 0.892300 + 3.33011i 0.0642292 + 0.239707i 0.990576 0.136966i \(-0.0437350\pi\)
−0.926347 + 0.376672i \(0.877068\pi\)
\(194\) 4.53874 + 7.86132i 0.325862 + 0.564410i
\(195\) −25.8139 4.16487i −1.84857 0.298253i
\(196\) −1.55333 6.82548i −0.110952 0.487534i
\(197\) −1.23026 + 1.23026i −0.0876527 + 0.0876527i −0.749574 0.661921i \(-0.769741\pi\)
0.661921 + 0.749574i \(0.269741\pi\)
\(198\) 0.645530 + 15.5794i 0.0458758 + 1.10718i
\(199\) 14.4696 + 8.35403i 1.02572 + 0.592201i 0.915756 0.401734i \(-0.131592\pi\)
0.109966 + 0.993935i \(0.464926\pi\)
\(200\) −3.24324 12.1039i −0.229332 0.855877i
\(201\) 4.40618 8.01029i 0.310788 0.565002i
\(202\) 4.63262 4.63262i 0.325950 0.325950i
\(203\) 3.00464 + 1.31204i 0.210884 + 0.0920872i
\(204\) −2.68899 + 10.9364i −0.188267 + 0.765698i
\(205\) −12.8624 + 7.42611i −0.898349 + 0.518662i
\(206\) 11.6494 3.12145i 0.811653 0.217482i
\(207\) 4.23775 2.68652i 0.294544 0.186726i
\(208\) 0.647874 3.54687i 0.0449220 0.245931i
\(209\) 0.211770i 0.0146484i
\(210\) 2.47229 19.0273i 0.170604 1.31301i
\(211\) −2.75269 −0.189503 −0.0947515 0.995501i \(-0.530206\pi\)
−0.0947515 + 0.995501i \(0.530206\pi\)
\(212\) −1.19450 2.06893i −0.0820384 0.142095i
\(213\) 0.0832394 + 4.01956i 0.00570347 + 0.275416i
\(214\) −16.9965 + 4.55420i −1.16186 + 0.311319i
\(215\) 3.15626 11.7793i 0.215255 0.803342i
\(216\) 0.322561 + 5.18613i 0.0219475 + 0.352872i
\(217\) −0.444547 + 2.94306i −0.0301778 + 0.199788i
\(218\) 11.9726 0.810889
\(219\) −21.2277 11.6766i −1.43443 0.789033i
\(220\) 18.8466 + 10.8811i 1.27064 + 0.733604i
\(221\) 22.0788 7.88295i 1.48518 0.530265i
\(222\) 12.4862 3.62435i 0.838019 0.243251i
\(223\) −8.39459 8.39459i −0.562143 0.562143i 0.367773 0.929916i \(-0.380120\pi\)
−0.929916 + 0.367773i \(0.880120\pi\)
\(224\) 2.61608 + 0.395156i 0.174794 + 0.0264025i
\(225\) 17.4324 33.3065i 1.16216 2.22043i
\(226\) 1.90665 7.11570i 0.126828 0.473329i
\(227\) 2.18092 + 8.13930i 0.144753 + 0.540224i 0.999766 + 0.0216187i \(0.00688199\pi\)
−0.855014 + 0.518606i \(0.826451\pi\)
\(228\) −0.00146111 0.0705555i −9.67641e−5 0.00467265i
\(229\) −28.9686 7.76212i −1.91430 0.512936i −0.991958 0.126564i \(-0.959605\pi\)
−0.922343 0.386371i \(-0.873728\pi\)
\(230\) 7.00283i 0.461753i
\(231\) 14.5315 + 18.8718i 0.956106 + 1.24167i
\(232\) −0.876246 + 0.876246i −0.0575283 + 0.0575283i
\(233\) −4.08975 7.08365i −0.267928 0.464066i 0.700398 0.713752i \(-0.253006\pi\)
−0.968327 + 0.249687i \(0.919672\pi\)
\(234\) 8.63616 6.51281i 0.564564 0.425756i
\(235\) 9.12223 15.8002i 0.595069 1.03069i
\(236\) 6.99346 + 1.87389i 0.455236 + 0.121980i
\(237\) −6.08475 1.49610i −0.395247 0.0971819i
\(238\) 6.27994 + 16.0159i 0.407068 + 1.03816i
\(239\) −1.18354 + 1.18354i −0.0765568 + 0.0765568i −0.744348 0.667792i \(-0.767240\pi\)
0.667792 + 0.744348i \(0.267240\pi\)
\(240\) 6.35422 + 3.49523i 0.410163 + 0.225616i
\(241\) −2.59183 9.67284i −0.166954 0.623082i −0.997783 0.0665537i \(-0.978800\pi\)
0.830828 0.556529i \(-0.187867\pi\)
\(242\) −15.4691 + 4.14493i −0.994390 + 0.266446i
\(243\) −9.82456 + 12.1028i −0.630246 + 0.776396i
\(244\) 3.03809i 0.194494i
\(245\) −13.6788 25.9212i −0.873904 1.65604i
\(246\) 1.46697 5.96628i 0.0935304 0.380396i
\(247\) −0.120852 + 0.0835210i −0.00768962 + 0.00531431i
\(248\) −0.974271 0.562496i −0.0618663 0.0357185i
\(249\) 0.483370 + 23.3415i 0.0306323 + 1.47921i
\(250\) −15.7659 27.3074i −0.997126 1.72707i
\(251\) −2.66714 −0.168349 −0.0841743 0.996451i \(-0.526825\pi\)
−0.0841743 + 0.996451i \(0.526825\pi\)
\(252\) 4.97169 + 6.18727i 0.313187 + 0.389761i
\(253\) 6.14691 + 6.14691i 0.386453 + 0.386453i
\(254\) 1.81717 6.78177i 0.114019 0.425526i
\(255\) 0.976289 + 47.1442i 0.0611376 + 2.95228i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 3.22876 + 5.59238i 0.201405 + 0.348843i 0.948981 0.315333i \(-0.102116\pi\)
−0.747577 + 0.664176i \(0.768783\pi\)
\(258\) 2.61226 + 4.31567i 0.162632 + 0.268682i
\(259\) 12.3876 15.5235i 0.769726 0.964580i
\(260\) −1.22343 15.0468i −0.0758741 0.933161i
\(261\) −3.71441 + 0.153906i −0.229916 + 0.00952656i
\(262\) −4.42582 + 1.18590i −0.273428 + 0.0732649i
\(263\) 3.47681 + 2.00734i 0.214389 + 0.123778i 0.603350 0.797477i \(-0.293832\pi\)
−0.388960 + 0.921255i \(0.627166\pi\)
\(264\) −8.64560 + 2.50955i −0.532100 + 0.154452i
\(265\) −7.07298 7.07298i −0.434489 0.434489i
\(266\) −0.0639855 0.0867546i −0.00392320 0.00531927i
\(267\) −7.12964 11.7788i −0.436327 0.720849i
\(268\) 5.09838 + 1.36611i 0.311433 + 0.0834482i
\(269\) −2.95341 1.70515i −0.180073 0.103965i 0.407254 0.913315i \(-0.366486\pi\)
−0.587327 + 0.809350i \(0.699820\pi\)
\(270\) 6.92462 + 20.6248i 0.421419 + 1.25519i
\(271\) 29.3133 + 7.85448i 1.78066 + 0.477125i 0.990703 0.136042i \(-0.0434382\pi\)
0.789953 + 0.613167i \(0.210105\pi\)
\(272\) −6.50217 −0.394252
\(273\) 5.03850 15.7357i 0.304944 0.952370i
\(274\) 12.6473 0.764049
\(275\) 62.9111 + 16.8570i 3.79368 + 1.01651i
\(276\) 2.09038 + 2.00556i 0.125826 + 0.120721i
\(277\) −3.21931 1.85867i −0.193430 0.111677i 0.400157 0.916446i \(-0.368955\pi\)
−0.593587 + 0.804770i \(0.702289\pi\)
\(278\) 5.09420 + 1.36499i 0.305530 + 0.0818665i
\(279\) −1.00772 3.22102i −0.0603306 0.192837i
\(280\) 11.0085 1.23683i 0.657883 0.0739149i
\(281\) 15.0107 + 15.0107i 0.895462 + 0.895462i 0.995031 0.0995691i \(-0.0317464\pi\)
−0.0995691 + 0.995031i \(0.531746\pi\)
\(282\) 2.10389 + 7.24809i 0.125285 + 0.431617i
\(283\) −9.63544 5.56302i −0.572767 0.330687i 0.185487 0.982647i \(-0.440614\pi\)
−0.758254 + 0.651959i \(0.773947\pi\)
\(284\) −2.24210 + 0.600769i −0.133044 + 0.0356491i
\(285\) −0.0823684 0.283766i −0.00487908 0.0168089i
\(286\) 14.2816 + 12.1338i 0.844487 + 0.717485i
\(287\) −3.42599 8.73741i −0.202230 0.515753i
\(288\) −2.86315 + 0.895758i −0.168713 + 0.0527830i
\(289\) −12.6391 21.8916i −0.743476 1.28774i
\(290\) −2.59426 + 4.49339i −0.152340 + 0.263861i
\(291\) −15.7193 + 0.325524i −0.921480 + 0.0190826i
\(292\) 3.62026 13.5110i 0.211859 0.790670i
\(293\) 5.14645 + 5.14645i 0.300659 + 0.300659i 0.841272 0.540613i \(-0.181808\pi\)
−0.540613 + 0.841272i \(0.681808\pi\)
\(294\) 11.6551 + 3.34045i 0.679739 + 0.194819i
\(295\) 30.3145 1.76498
\(296\) 3.75323 + 6.50079i 0.218152 + 0.377851i
\(297\) −24.1822 12.0257i −1.40320 0.697803i
\(298\) 6.62190 + 3.82316i 0.383597 + 0.221470i
\(299\) 1.08358 5.93221i 0.0626652 0.343068i
\(300\) 21.0764 + 5.18220i 1.21685 + 0.299194i
\(301\) 7.06195 + 3.08376i 0.407044 + 0.177745i
\(302\) 7.42527i 0.427276i
\(303\) 3.16327 + 10.8977i 0.181725 + 0.626059i
\(304\) 0.0393557 0.0105453i 0.00225720 0.000604816i
\(305\) 3.29230 + 12.2870i 0.188516 + 0.703553i
\(306\) −14.3524 13.2103i −0.820471 0.755184i
\(307\) 7.36830 7.36830i 0.420531 0.420531i −0.464856 0.885386i \(-0.653894\pi\)
0.885386 + 0.464856i \(0.153894\pi\)
\(308\) −8.57731 + 10.7486i −0.488738 + 0.612460i
\(309\) −4.98760 + 20.2850i −0.283734 + 1.15397i
\(310\) −4.54983 1.21912i −0.258413 0.0692416i
\(311\) −1.39247 + 2.41183i −0.0789597 + 0.136762i −0.902801 0.430058i \(-0.858493\pi\)
0.823842 + 0.566820i \(0.191827\pi\)
\(312\) 4.84192 + 3.94408i 0.274120 + 0.223290i
\(313\) −9.64584 16.7071i −0.545215 0.944341i −0.998593 0.0530224i \(-0.983115\pi\)
0.453378 0.891318i \(-0.350219\pi\)
\(314\) 12.6300 12.6300i 0.712753 0.712753i
\(315\) 26.8121 + 19.6356i 1.51069 + 1.10634i
\(316\) 3.61767i 0.203510i
\(317\) 8.28772 + 2.22069i 0.465485 + 0.124726i 0.483936 0.875104i \(-0.339207\pi\)
−0.0184511 + 0.999830i \(0.505874\pi\)
\(318\) 4.13697 0.0856708i 0.231990 0.00480418i
\(319\) −1.66701 6.22136i −0.0933345 0.348329i
\(320\) −1.08367 + 4.04433i −0.0605792 + 0.226085i
\(321\) 7.27692 29.5958i 0.406158 1.65188i
\(322\) 4.37544 + 0.660907i 0.243834 + 0.0368309i
\(323\) 0.187330 + 0.187330i 0.0104233 + 0.0104233i
\(324\) −8.13979 3.83977i −0.452210 0.213321i
\(325\) −15.1920 42.5501i −0.842698 2.36026i
\(326\) −19.8046 11.4342i −1.09687 0.633281i
\(327\) −9.99456 + 18.1698i −0.552701 + 1.00479i
\(328\) 3.54723 0.195863
\(329\) 9.01117 + 7.19083i 0.496802 + 0.396443i
\(330\) −32.2461 + 19.5184i −1.77509 + 1.07445i
\(331\) 4.87091 18.1785i 0.267730 0.999181i −0.692829 0.721102i \(-0.743636\pi\)
0.960558 0.278079i \(-0.0896976\pi\)
\(332\) −13.0198 + 3.48865i −0.714555 + 0.191465i
\(333\) −4.92293 + 21.9747i −0.269775 + 1.20421i
\(334\) 1.79395 + 3.10720i 0.0981603 + 0.170019i
\(335\) 22.0999 1.20745
\(336\) −2.78355 + 3.64031i −0.151855 + 0.198595i
\(337\) 19.6080i 1.06812i −0.845448 0.534058i \(-0.820666\pi\)
0.845448 0.534058i \(-0.179334\pi\)
\(338\) 1.29187 12.9357i 0.0702685 0.703607i
\(339\) 9.20721 + 8.83361i 0.500067 + 0.479776i
\(340\) −26.2969 + 7.04623i −1.42615 + 0.382135i
\(341\) 5.06384 2.92361i 0.274223 0.158322i
\(342\) 0.108295 + 0.0566812i 0.00585594 + 0.00306497i
\(343\) 17.4868 6.10027i 0.944196 0.329384i
\(344\) −2.05949 + 2.05949i −0.111040 + 0.111040i
\(345\) 10.6276 + 5.84585i 0.572169 + 0.314730i
\(346\) −4.92386 18.3761i −0.264708 0.987904i
\(347\) −6.56921 3.79274i −0.352654 0.203605i 0.313200 0.949687i \(-0.398599\pi\)
−0.665853 + 0.746083i \(0.731932\pi\)
\(348\) −0.598323 2.06127i −0.0320735 0.110496i
\(349\) −3.65238 + 3.65238i −0.195507 + 0.195507i −0.798071 0.602564i \(-0.794146\pi\)
0.602564 + 0.798071i \(0.294146\pi\)
\(350\) 30.8657 12.1026i 1.64984 0.646913i
\(351\) 2.67457 + 18.5431i 0.142758 + 0.989758i
\(352\) −2.59879 4.50123i −0.138516 0.239916i
\(353\) −4.06354 15.1653i −0.216280 0.807170i −0.985712 0.168440i \(-0.946127\pi\)
0.769431 0.638729i \(-0.220540\pi\)
\(354\) −8.68186 + 9.04905i −0.461436 + 0.480951i
\(355\) −8.41674 + 4.85941i −0.446714 + 0.257911i
\(356\) 5.62096 5.62096i 0.297910 0.297910i
\(357\) −29.5483 3.83933i −1.56386 0.203199i
\(358\) 1.46648 1.46648i 0.0775057 0.0775057i
\(359\) −0.0873569 + 0.326020i −0.00461052 + 0.0172067i −0.968193 0.250205i \(-0.919502\pi\)
0.963582 + 0.267412i \(0.0861685\pi\)
\(360\) −10.6088 + 6.72545i −0.559132 + 0.354463i
\(361\) 16.4530 + 9.49917i 0.865950 + 0.499956i
\(362\) 1.14199 4.26196i 0.0600216 0.224004i
\(363\) 6.62295 26.9361i 0.347615 1.41378i
\(364\) 9.51683 + 0.655656i 0.498818 + 0.0343657i
\(365\) 58.5660i 3.06548i
\(366\) −4.61063 2.53615i −0.241002 0.132567i
\(367\) −11.9398 + 20.6804i −0.623255 + 1.07951i 0.365621 + 0.930764i \(0.380857\pi\)
−0.988876 + 0.148745i \(0.952477\pi\)
\(368\) −0.836260 + 1.44845i −0.0435931 + 0.0755054i
\(369\) 7.82988 + 7.20683i 0.407607 + 0.375173i
\(370\) 22.2240 + 22.2240i 1.15537 + 1.15537i
\(371\) 5.08679 3.75174i 0.264093 0.194781i
\(372\) 1.66695 1.00900i 0.0864275 0.0523142i
\(373\) 6.59425 + 11.4216i 0.341437 + 0.591387i 0.984700 0.174259i \(-0.0557530\pi\)
−0.643263 + 0.765646i \(0.722420\pi\)
\(374\) 16.8977 29.2678i 0.873762 1.51340i
\(375\) 54.6031 1.13075i 2.81969 0.0583919i
\(376\) −3.77363 + 2.17871i −0.194610 + 0.112358i
\(377\) −2.89292 + 3.40499i −0.148993 + 0.175366i
\(378\) −13.5401 + 2.38006i −0.696430 + 0.122417i
\(379\) −17.7321 17.7321i −0.910835 0.910835i 0.0855028 0.996338i \(-0.472750\pi\)
−0.996338 + 0.0855028i \(0.972750\pi\)
\(380\) 0.147739 0.0852974i 0.00757887 0.00437566i
\(381\) 8.77514 + 8.41907i 0.449564 + 0.431322i
\(382\) −4.01614 + 1.07612i −0.205484 + 0.0550592i
\(383\) −5.68924 1.52443i −0.290706 0.0778946i 0.110519 0.993874i \(-0.464749\pi\)
−0.401225 + 0.915979i \(0.631415\pi\)
\(384\) −0.896896 1.48175i −0.0457695 0.0756151i
\(385\) −23.0414 + 52.7660i −1.17430 + 2.68920i
\(386\) 3.44758i 0.175477i
\(387\) −8.73017 + 0.361734i −0.443779 + 0.0183880i
\(388\) −2.34942 8.76816i −0.119274 0.445136i
\(389\) −2.36400 + 4.09456i −0.119859 + 0.207602i −0.919712 0.392594i \(-0.871578\pi\)
0.799852 + 0.600197i \(0.204911\pi\)
\(390\) 23.8564 + 10.7041i 1.20802 + 0.542023i
\(391\) −10.8750 −0.549973
\(392\) −0.266162 + 6.99494i −0.0134432 + 0.353298i
\(393\) 1.89488 7.70663i 0.0955840 0.388748i
\(394\) 1.50676 0.869929i 0.0759095 0.0438264i
\(395\) −3.92037 14.6310i −0.197255 0.736167i
\(396\) 3.40870 15.2156i 0.171294 0.764611i
\(397\) 20.2204 + 5.41804i 1.01483 + 0.271924i 0.727647 0.685951i \(-0.240614\pi\)
0.287186 + 0.957875i \(0.407280\pi\)
\(398\) −11.8144 11.8144i −0.592201 0.592201i
\(399\) 0.185074 0.0246836i 0.00926527 0.00123572i
\(400\) 12.5309i 0.626546i
\(401\) 10.0045 37.3372i 0.499599 1.86453i −0.00297753 0.999996i \(-0.500948\pi\)
0.502576 0.864533i \(-0.332386\pi\)
\(402\) −6.32926 + 6.59694i −0.315675 + 0.329026i
\(403\) −3.66559 1.73676i −0.182596 0.0865140i
\(404\) −5.67378 + 3.27576i −0.282281 + 0.162975i
\(405\) −37.0810 6.70842i −1.84257 0.333344i
\(406\) −2.56267 2.04499i −0.127183 0.101491i
\(407\) −39.0154 −1.93392
\(408\) 5.42790 9.86775i 0.268721 0.488526i
\(409\) −4.20530 + 1.12681i −0.207939 + 0.0557170i −0.361285 0.932456i \(-0.617662\pi\)
0.153346 + 0.988173i \(0.450995\pi\)
\(410\) 14.3461 3.84404i 0.708506 0.189843i
\(411\) −10.5577 + 19.1936i −0.520774 + 0.946751i
\(412\) −12.0604 −0.594171
\(413\) −2.86100 + 18.9408i −0.140780 + 0.932017i
\(414\) −4.78867 + 1.49817i −0.235351 + 0.0736312i
\(415\) −48.8758 + 28.2185i −2.39922 + 1.38519i
\(416\) −1.54379 + 3.25833i −0.0756908 + 0.159753i
\(417\) −6.32407 + 6.59154i −0.309691 + 0.322789i
\(418\) −0.0548101 + 0.204554i −0.00268085 + 0.0100051i
\(419\) 35.1233i 1.71588i 0.513747 + 0.857942i \(0.328257\pi\)
−0.513747 + 0.857942i \(0.671743\pi\)
\(420\) −7.31267 + 17.7391i −0.356822 + 0.865577i
\(421\) −17.6207 17.6207i −0.858779 0.858779i 0.132415 0.991194i \(-0.457727\pi\)
−0.991194 + 0.132415i \(0.957727\pi\)
\(422\) 2.65889 + 0.712448i 0.129433 + 0.0346814i
\(423\) −12.7561 2.85770i −0.620221 0.138946i
\(424\) 0.618317 + 2.30759i 0.0300281 + 0.112066i
\(425\) −70.5621 + 40.7391i −3.42276 + 1.97613i
\(426\) 0.959936 3.90414i 0.0465090 0.189156i
\(427\) −7.98777 + 0.897448i −0.386555 + 0.0434305i
\(428\) 17.5961 0.850539
\(429\) −30.3363 + 11.5448i −1.46465 + 0.557387i
\(430\) −6.09742 + 10.5610i −0.294044 + 0.509299i
\(431\) −8.05608 30.0657i −0.388048 1.44821i −0.833306 0.552811i \(-0.813555\pi\)
0.445259 0.895402i \(-0.353112\pi\)
\(432\) 1.03070 5.09290i 0.0495895 0.245032i
\(433\) 20.3783i 0.979320i 0.871913 + 0.489660i \(0.162879\pi\)
−0.871913 + 0.489660i \(0.837121\pi\)
\(434\) 1.19112 2.72772i 0.0571756 0.130935i
\(435\) −4.65356 7.68807i −0.223121 0.368615i
\(436\) −11.5647 3.09875i −0.553848 0.148403i
\(437\) 0.0658232 0.0176373i 0.00314875 0.000843705i
\(438\) 17.4823 + 16.7729i 0.835334 + 0.801439i
\(439\) −7.80862 + 4.50831i −0.372685 + 0.215170i −0.674631 0.738155i \(-0.735697\pi\)
0.301946 + 0.953325i \(0.402364\pi\)
\(440\) −15.3882 15.3882i −0.733604 0.733604i
\(441\) −14.7990 + 14.8993i −0.704713 + 0.709492i
\(442\) −23.3668 + 1.89992i −1.11144 + 0.0903701i
\(443\) −23.3482 + 13.4801i −1.10931 + 0.640459i −0.938650 0.344871i \(-0.887923\pi\)
−0.170658 + 0.985330i \(0.554589\pi\)
\(444\) −12.9988 + 0.269187i −0.616896 + 0.0127750i
\(445\) 16.6417 28.8243i 0.788892 1.36640i
\(446\) 5.93587 + 10.2812i 0.281072 + 0.486830i
\(447\) −11.3299 + 6.85795i −0.535887 + 0.324370i
\(448\) −2.42466 1.05878i −0.114554 0.0500227i
\(449\) 18.9064 + 18.9064i 0.892250 + 0.892250i 0.994735 0.102485i \(-0.0326793\pi\)
−0.102485 + 0.994735i \(0.532679\pi\)
\(450\) −25.4588 + 27.6598i −1.20014 + 1.30389i
\(451\) −9.21849 + 15.9669i −0.434082 + 0.751851i
\(452\) −3.68336 + 6.37976i −0.173250 + 0.300079i
\(453\) −11.2686 6.19849i −0.529447 0.291230i
\(454\) 8.42642i 0.395472i
\(455\) 39.1997 7.66146i 1.83771 0.359175i
\(456\) −0.0168498 + 0.0685296i −0.000789064 + 0.00320919i
\(457\) 5.62441 20.9906i 0.263099 0.981898i −0.700305 0.713844i \(-0.746953\pi\)
0.963404 0.268054i \(-0.0863806\pi\)
\(458\) 25.9726 + 14.9953i 1.21362 + 0.700683i
\(459\) 32.0292 10.7535i 1.49500 0.501932i
\(460\) −1.81247 + 6.76422i −0.0845067 + 0.315383i
\(461\) −16.1114 + 16.1114i −0.750384 + 0.750384i −0.974551 0.224167i \(-0.928034\pi\)
0.224167 + 0.974551i \(0.428034\pi\)
\(462\) −9.15202 21.9898i −0.425791 1.02306i
\(463\) 24.7561 24.7561i 1.15051 1.15051i 0.164062 0.986450i \(-0.447540\pi\)
0.986450 0.164062i \(-0.0524597\pi\)
\(464\) 1.07318 0.619599i 0.0498210 0.0287642i
\(465\) 5.64828 5.88716i 0.261933 0.273010i
\(466\) 2.11701 + 7.90079i 0.0980686 + 0.365997i
\(467\) −10.8534 18.7986i −0.502234 0.869894i −0.999997 0.00258128i \(-0.999178\pi\)
0.497763 0.867313i \(-0.334155\pi\)
\(468\) −10.0275 + 4.05568i −0.463523 + 0.187474i
\(469\) −2.08572 + 13.8082i −0.0963098 + 0.637606i
\(470\) −12.9008 + 12.9008i −0.595069 + 0.595069i
\(471\) 8.62409 + 29.7107i 0.397377 + 1.36900i
\(472\) −6.27017 3.62008i −0.288608 0.166628i
\(473\) −3.91806 14.6224i −0.180152 0.672338i
\(474\) 5.49020 + 3.01997i 0.252173 + 0.138712i
\(475\) 0.361020 0.361020i 0.0165647 0.0165647i
\(476\) −1.92073 17.0956i −0.0880366 0.783574i
\(477\) −3.32346 + 6.34982i −0.152171 + 0.290738i
\(478\) 1.44953 0.836889i 0.0663002 0.0382784i
\(479\) 23.1157 6.19382i 1.05618 0.283003i 0.311377 0.950286i \(-0.399210\pi\)
0.744804 + 0.667284i \(0.232543\pi\)
\(480\) −5.23307 5.02073i −0.238856 0.229164i
\(481\) 15.3875 + 22.2652i 0.701609 + 1.01520i
\(482\) 10.0141i 0.456128i
\(483\) −4.65554 + 6.08849i −0.211835 + 0.277036i
\(484\) 16.0148 0.727944
\(485\) −19.0037 32.9153i −0.862912 1.49461i
\(486\) 12.6222 9.14763i 0.572556 0.414945i
\(487\) 28.1495 7.54264i 1.27558 0.341790i 0.443412 0.896318i \(-0.353768\pi\)
0.832165 + 0.554528i \(0.187101\pi\)
\(488\) 0.786315 2.93457i 0.0355948 0.132842i
\(489\) 33.8852 20.5105i 1.53234 0.927519i
\(490\) 6.50378 + 28.5782i 0.293811 + 1.29103i
\(491\) −4.50540 −0.203326 −0.101663 0.994819i \(-0.532416\pi\)
−0.101663 + 0.994819i \(0.532416\pi\)
\(492\) −2.96117 + 5.38330i −0.133500 + 0.242698i
\(493\) 6.97798 + 4.02874i 0.314272 + 0.181445i
\(494\) 0.138351 0.0493963i 0.00622470 0.00222244i
\(495\) −2.70283 65.2306i −0.121483 2.93190i
\(496\) 0.795489 + 0.795489i 0.0357185 + 0.0357185i
\(497\) −2.24186 5.71748i −0.100561 0.256464i
\(498\) 5.57433 22.6713i 0.249791 1.01592i
\(499\) 0.740955 2.76528i 0.0331697 0.123791i −0.947356 0.320183i \(-0.896256\pi\)
0.980526 + 0.196392i \(0.0629224\pi\)
\(500\) 8.16105 + 30.4575i 0.364973 + 1.36210i
\(501\) −6.21308 + 0.128664i −0.277580 + 0.00574829i
\(502\) 2.57626 + 0.690308i 0.114984 + 0.0308099i
\(503\) 13.1898i 0.588105i 0.955789 + 0.294053i \(0.0950041\pi\)
−0.955789 + 0.294053i \(0.904996\pi\)
\(504\) −3.20090 7.26321i −0.142580 0.323529i
\(505\) −19.3968 + 19.3968i −0.863144 + 0.863144i
\(506\) −4.34652 7.52840i −0.193227 0.334678i
\(507\) 18.5528 + 12.7590i 0.823960 + 0.566648i
\(508\) −3.51050 + 6.08037i −0.155753 + 0.269773i
\(509\) 38.4104 + 10.2920i 1.70251 + 0.456186i 0.973570 0.228391i \(-0.0733464\pi\)
0.728941 + 0.684577i \(0.240013\pi\)
\(510\) 11.2588 45.7905i 0.498547 2.02764i
\(511\) 36.5926 + 5.52728i 1.61876 + 0.244513i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −0.176423 + 0.117034i −0.00778927 + 0.00516716i
\(514\) −1.67133 6.23749i −0.0737192 0.275124i
\(515\) −48.7760 + 13.0695i −2.14933 + 0.575911i
\(516\) −1.40627 4.84472i −0.0619075 0.213277i
\(517\) 22.6480i 0.996056i
\(518\) −15.9832 + 11.7884i −0.702263 + 0.517951i
\(519\) 31.9981 + 7.86756i 1.40456 + 0.345348i
\(520\) −2.71264 + 14.8507i −0.118957 + 0.651247i
\(521\) 29.3150 + 16.9250i 1.28431 + 0.741499i 0.977634 0.210313i \(-0.0674484\pi\)
0.306680 + 0.951813i \(0.400782\pi\)
\(522\) 3.62768 + 0.812697i 0.158779 + 0.0355708i
\(523\) 13.5259 + 23.4276i 0.591448 + 1.02442i 0.994038 + 0.109038i \(0.0347770\pi\)
−0.402589 + 0.915381i \(0.631890\pi\)
\(524\) 4.58195 0.200163
\(525\) −7.39912 + 56.9452i −0.322924 + 2.48529i
\(526\) −2.83881 2.83881i −0.123778 0.123778i
\(527\) −1.89323 + 7.06563i −0.0824704 + 0.307784i
\(528\) 9.00053 0.186388i 0.391698 0.00811151i
\(529\) 10.1013 17.4960i 0.439189 0.760697i
\(530\) 5.00135 + 8.66259i 0.217245 + 0.376279i
\(531\) −6.48543 20.7297i −0.281444 0.899591i
\(532\) 0.0393515 + 0.100359i 0.00170610 + 0.00435112i
\(533\) 12.7476 1.03649i 0.552162 0.0448956i
\(534\) 3.83813 + 13.2227i 0.166092 + 0.572202i
\(535\) 71.1643 19.0684i 3.07670 0.824400i
\(536\) −4.57108 2.63912i −0.197441 0.113992i
\(537\) 1.00135 + 3.44973i 0.0432113 + 0.148867i
\(538\) 2.41145 + 2.41145i 0.103965 + 0.103965i
\(539\) −30.7941 19.3764i −1.32640 0.834601i
\(540\) −1.35056 21.7143i −0.0581189 0.934435i
\(541\) 28.1867 + 7.55261i 1.21184 + 0.324712i 0.807485 0.589889i \(-0.200828\pi\)
0.404358 + 0.914601i \(0.367495\pi\)
\(542\) −26.2816 15.1737i −1.12889 0.651765i
\(543\) 5.51467 + 5.29091i 0.236657 + 0.227054i
\(544\) 6.28061 + 1.68288i 0.269279 + 0.0721531i
\(545\) −50.1294 −2.14731
\(546\) −8.93952 + 13.8955i −0.382576 + 0.594672i
\(547\) 30.9138 1.32178 0.660890 0.750483i \(-0.270179\pi\)
0.660890 + 0.750483i \(0.270179\pi\)
\(548\) −12.2163 3.27335i −0.521855 0.139831i
\(549\) 7.69776 4.88000i 0.328532 0.208273i
\(550\) −56.4045 32.5652i −2.40510 1.38858i
\(551\) −0.0487695 0.0130677i −0.00207765 0.000556705i
\(552\) −1.50008 2.47825i −0.0638475 0.105482i
\(553\) 9.51160 1.06865i 0.404474 0.0454438i
\(554\) 2.62856 + 2.62856i 0.111677 + 0.111677i
\(555\) −52.2797 + 15.1751i −2.21915 + 0.644149i
\(556\) −4.56734 2.63695i −0.193698 0.111832i
\(557\) −15.5678 + 4.17139i −0.659631 + 0.176747i −0.573079 0.819500i \(-0.694251\pi\)
−0.0865512 + 0.996247i \(0.527585\pi\)
\(558\) 0.139722 + 3.37208i 0.00591490 + 0.142752i
\(559\) −6.79938 + 8.00294i −0.287583 + 0.338488i
\(560\) −10.9535 1.65452i −0.462869 0.0699160i
\(561\) 30.3110 + 50.0764i 1.27973 + 2.11423i
\(562\) −10.6141 18.3842i −0.447731 0.775492i
\(563\) 2.53836 4.39656i 0.106979 0.185293i −0.807566 0.589777i \(-0.799216\pi\)
0.914545 + 0.404484i \(0.132549\pi\)
\(564\) −0.156260 7.54564i −0.00657972 0.317729i
\(565\) −7.98311 + 29.7934i −0.335852 + 1.25342i
\(566\) 7.86730 + 7.86730i 0.330687 + 0.330687i
\(567\) 7.69109 22.5355i 0.322995 0.946401i
\(568\) 2.32119 0.0973950
\(569\) 9.42476 + 16.3242i 0.395107 + 0.684345i 0.993115 0.117145i \(-0.0373743\pi\)
−0.598008 + 0.801490i \(0.704041\pi\)
\(570\) 0.00611764 + 0.295416i 0.000256240 + 0.0123736i
\(571\) −16.7331 9.66085i −0.700258 0.404294i 0.107186 0.994239i \(-0.465816\pi\)
−0.807443 + 0.589945i \(0.799149\pi\)
\(572\) −10.6545 15.4167i −0.445487 0.644603i
\(573\) 1.71948 6.99326i 0.0718322 0.292148i
\(574\) 1.04785 + 9.32640i 0.0437363 + 0.389277i
\(575\) 20.9582i 0.874018i
\(576\) 2.99743 0.124198i 0.124893 0.00517493i
\(577\) 0.257942 0.0691154i 0.0107383 0.00287731i −0.253446 0.967350i \(-0.581564\pi\)
0.264184 + 0.964472i \(0.414897\pi\)
\(578\) 6.54248 + 24.4169i 0.272131 + 1.01561i
\(579\) 5.23208 + 2.87799i 0.217438 + 0.119605i
\(580\) 3.66883 3.66883i 0.152340 0.152340i
\(581\) −13.0184 33.2013i −0.540095 1.37742i
\(582\) 15.2679 + 3.75401i 0.632875 + 0.155609i
\(583\) −11.9939 3.21375i −0.496735 0.133100i
\(584\) −6.99380 + 12.1136i −0.289405 + 0.501265i
\(585\) −36.1596 + 27.2691i −1.49501 + 1.12744i
\(586\) −3.63909 6.30309i −0.150329 0.260378i
\(587\) 16.9696 16.9696i 0.700408 0.700408i −0.264090 0.964498i \(-0.585072\pi\)
0.964498 + 0.264090i \(0.0850715\pi\)
\(588\) −10.3934 6.24319i −0.428616 0.257465i
\(589\) 0.0458366i 0.00188867i
\(590\) −29.2816 7.84598i −1.20550 0.323014i
\(591\) 0.0623924 + 3.01287i 0.00256648 + 0.123933i
\(592\) −1.94282 7.25069i −0.0798493 0.298002i
\(593\) 8.99679 33.5765i 0.369454 1.37882i −0.491827 0.870693i \(-0.663671\pi\)
0.861281 0.508129i \(-0.169663\pi\)
\(594\) 20.2458 + 17.8748i 0.830694 + 0.733411i
\(595\) −26.2941 67.0585i −1.07795 2.74913i
\(596\) −5.40676 5.40676i −0.221470 0.221470i
\(597\) 27.7921 8.06716i 1.13745 0.330167i
\(598\) −2.58203 + 5.44962i −0.105587 + 0.222852i
\(599\) 4.66976 + 2.69609i 0.190801 + 0.110159i 0.592358 0.805675i \(-0.298197\pi\)
−0.401556 + 0.915834i \(0.631531\pi\)
\(600\) −19.0170 10.4606i −0.776367 0.427052i
\(601\) −33.9734 −1.38580 −0.692901 0.721033i \(-0.743668\pi\)
−0.692901 + 0.721033i \(0.743668\pi\)
\(602\) −6.02319 4.80645i −0.245487 0.195896i
\(603\) −4.72802 15.1124i −0.192540 0.615423i
\(604\) 1.92180 7.17226i 0.0781969 0.291835i
\(605\) 64.7689 17.3548i 2.63323 0.705572i
\(606\) −0.234942 11.3451i −0.00954385 0.460864i
\(607\) −20.9467 36.2808i −0.850201 1.47259i −0.881026 0.473067i \(-0.843147\pi\)
0.0308253 0.999525i \(-0.490186\pi\)
\(608\) −0.0407440 −0.00165239
\(609\) 5.24277 2.18201i 0.212448 0.0884196i
\(610\) 12.7205i 0.515036i
\(611\) −12.9246 + 8.93225i −0.522875 + 0.361360i
\(612\) 10.4443 + 16.4749i 0.422184 + 0.665957i
\(613\) 26.9839 7.23030i 1.08987 0.292029i 0.331236 0.943548i \(-0.392535\pi\)
0.758632 + 0.651519i \(0.225868\pi\)
\(614\) −9.02428 + 5.21017i −0.364190 + 0.210265i
\(615\) −6.14218 + 24.9808i −0.247677 + 1.00732i
\(616\) 11.0670 8.16241i 0.445902 0.328873i
\(617\) −7.65580 + 7.65580i −0.308211 + 0.308211i −0.844215 0.536004i \(-0.819933\pi\)
0.536004 + 0.844215i \(0.319933\pi\)
\(618\) 10.0678 18.3029i 0.404986 0.736251i
\(619\) 7.91213 + 29.5285i 0.318015 + 1.18685i 0.921149 + 0.389210i \(0.127252\pi\)
−0.603134 + 0.797640i \(0.706081\pi\)
\(620\) 4.07927 + 2.35517i 0.163827 + 0.0945857i
\(621\) 1.72387 8.51799i 0.0691763 0.341815i
\(622\) 1.96925 1.96925i 0.0789597 0.0789597i
\(623\) 16.4391 + 13.1183i 0.658619 + 0.525572i
\(624\) −3.65613 5.06287i −0.146362 0.202677i
\(625\) 34.6846 + 60.0755i 1.38738 + 2.40302i
\(626\) 4.99306 + 18.6343i 0.199563 + 0.744778i
\(627\) −0.264678 0.253939i −0.0105702 0.0101413i
\(628\) −15.4685 + 8.93077i −0.617262 + 0.356376i
\(629\) 34.5127 34.5127i 1.37611 1.37611i
\(630\) −20.8164 25.9060i −0.829347 1.03212i
\(631\) −32.9747 + 32.9747i −1.31270 + 1.31270i −0.393288 + 0.919415i \(0.628662\pi\)
−0.919415 + 0.393288i \(0.871338\pi\)
\(632\) −0.936321 + 3.49440i −0.0372449 + 0.139000i
\(633\) −3.30082 + 3.44042i −0.131196 + 0.136744i
\(634\) −7.43057 4.29004i −0.295105 0.170379i
\(635\) −7.60848 + 28.3952i −0.301933 + 1.12683i
\(636\) −4.01818 0.987975i −0.159331 0.0391758i
\(637\) 1.08741 + 25.2154i 0.0430846 + 0.999071i
\(638\) 6.44082i 0.254995i
\(639\) 5.12362 + 4.71592i 0.202687 + 0.186559i
\(640\) 2.09350 3.62604i 0.0827527 0.143332i
\(641\) 17.4042 30.1450i 0.687425 1.19065i −0.285243 0.958455i \(-0.592074\pi\)
0.972668 0.232199i \(-0.0745922\pi\)
\(642\) −14.6889 + 26.7040i −0.579726 + 1.05392i
\(643\) 22.7474 + 22.7474i 0.897070 + 0.897070i 0.995176 0.0981062i \(-0.0312785\pi\)
−0.0981062 + 0.995176i \(0.531278\pi\)
\(644\) −4.05530 1.77083i −0.159801 0.0697806i
\(645\) −10.9375 18.0697i −0.430664 0.711493i
\(646\) −0.132462 0.229431i −0.00521165 0.00902685i
\(647\) −24.9765 + 43.2606i −0.981929 + 1.70075i −0.327068 + 0.945001i \(0.606061\pi\)
−0.654861 + 0.755750i \(0.727273\pi\)
\(648\) 6.86862 + 5.81567i 0.269825 + 0.228461i
\(649\) 32.5897 18.8156i 1.27926 0.738579i
\(650\) 3.66151 + 45.0322i 0.143616 + 1.76631i
\(651\) 3.14529 + 4.08471i 0.123274 + 0.160093i
\(652\) 16.1704 + 16.1704i 0.633281 + 0.633281i
\(653\) 6.11871 3.53264i 0.239444 0.138243i −0.375477 0.926832i \(-0.622521\pi\)
0.614921 + 0.788589i \(0.289188\pi\)
\(654\) 14.3567 14.9639i 0.561391 0.585134i
\(655\) 18.5309 4.96534i 0.724062 0.194012i
\(656\) −3.42636 0.918090i −0.133777 0.0358454i
\(657\) −40.0486 + 12.5295i −1.56244 + 0.488822i
\(658\) −6.84300 9.27807i −0.266768 0.361697i
\(659\) 9.48022i 0.369297i 0.982805 + 0.184648i \(0.0591146\pi\)
−0.982805 + 0.184648i \(0.940885\pi\)
\(660\) 36.1991 10.5075i 1.40905 0.409002i
\(661\) −3.18735 11.8954i −0.123974 0.462676i 0.875827 0.482625i \(-0.160316\pi\)
−0.999801 + 0.0199485i \(0.993650\pi\)
\(662\) −9.40988 + 16.2984i −0.365726 + 0.633455i
\(663\) 16.6229 37.0477i 0.645579 1.43881i
\(664\) 13.4791 0.523091
\(665\) 0.267907 + 0.363241i 0.0103890 + 0.0140859i
\(666\) 10.4427 19.9518i 0.404645 0.773117i
\(667\) 1.79491 1.03629i 0.0694992 0.0401254i
\(668\) −0.928614 3.46564i −0.0359292 0.134090i
\(669\) −20.5580 + 0.425728i −0.794820 + 0.0164596i
\(670\) −21.3469 5.71988i −0.824702 0.220978i
\(671\) 11.1657 + 11.1657i 0.431047 + 0.431047i
\(672\) 3.63088 2.79583i 0.140064 0.107852i
\(673\) 4.32932i 0.166883i 0.996513 + 0.0834415i \(0.0265912\pi\)
−0.996513 + 0.0834415i \(0.973409\pi\)
\(674\) −5.07493 + 18.9399i −0.195479 + 0.729537i
\(675\) −20.7241 61.7264i −0.797672 2.37585i
\(676\) −4.59584 + 12.1605i −0.176763 + 0.467712i
\(677\) 21.9491 12.6723i 0.843572 0.487037i −0.0149048 0.999889i \(-0.504745\pi\)
0.858477 + 0.512852i \(0.171411\pi\)
\(678\) −6.60717 10.9156i −0.253747 0.419211i
\(679\) 22.3593 8.76723i 0.858072 0.336455i
\(680\) 27.2245 1.04401
\(681\) 12.7880 + 7.03424i 0.490038 + 0.269553i
\(682\) −5.64799 + 1.51337i −0.216273 + 0.0579500i
\(683\) −18.3801 + 4.92492i −0.703293 + 0.188447i −0.592705 0.805419i \(-0.701940\pi\)
−0.110588 + 0.993866i \(0.535273\pi\)
\(684\) −0.0899351 0.0827788i −0.00343876 0.00316512i
\(685\) −52.9540 −2.02327
\(686\) −18.4698 + 1.36650i −0.705179 + 0.0521732i
\(687\) −44.4384 + 26.8984i −1.69543 + 1.02624i
\(688\) 2.52234 1.45628i 0.0961635 0.0555200i
\(689\) 2.89631 + 8.11210i 0.110341 + 0.309046i
\(690\) −8.75242 8.39727i −0.333199 0.319679i
\(691\) 9.38184 35.0135i 0.356902 1.33198i −0.521172 0.853452i \(-0.674505\pi\)
0.878074 0.478525i \(-0.158828\pi\)
\(692\) 19.0243i 0.723196i
\(693\) 41.0118 + 4.46752i 1.55791 + 0.169707i
\(694\) 5.36374 + 5.36374i 0.203605 + 0.203605i
\(695\) −21.3294 5.71519i −0.809070 0.216790i
\(696\) 0.0444385 + 2.14589i 0.00168444 + 0.0813399i
\(697\) −5.96958 22.2788i −0.226114 0.843868i
\(698\) 4.47323 2.58262i 0.169314 0.0977537i
\(699\) −13.7576 3.38266i −0.520358 0.127944i
\(700\) −32.9464 + 3.70162i −1.24526 + 0.139908i
\(701\) 27.8910 1.05343 0.526714 0.850042i \(-0.323424\pi\)
0.526714 + 0.850042i \(0.323424\pi\)
\(702\) 2.21588 18.6035i 0.0836329 0.702144i
\(703\) −0.152922 + 0.264868i −0.00576755 + 0.00998969i
\(704\) 1.34523 + 5.02047i 0.0507003 + 0.189216i
\(705\) −8.80898 30.3477i −0.331765 1.14296i
\(706\) 15.7003i 0.590889i
\(707\) −10.2887 13.9499i −0.386946 0.524640i
\(708\) 10.7281 6.49368i 0.403187 0.244047i
\(709\) 24.3930 + 6.53609i 0.916099 + 0.245468i 0.685917 0.727679i \(-0.259401\pi\)
0.230182 + 0.973148i \(0.426068\pi\)
\(710\) 9.38765 2.51541i 0.352312 0.0944018i
\(711\) −9.16626 + 5.81096i −0.343762 + 0.217928i
\(712\) −6.88424 + 3.97462i −0.257998 + 0.148955i
\(713\) 1.33047 + 1.33047i 0.0498266 + 0.0498266i
\(714\) 27.5478 + 11.3562i 1.03095 + 0.424994i
\(715\) −59.7969 50.8040i −2.23628 1.89996i
\(716\) −1.79606 + 1.03696i −0.0671219 + 0.0387529i
\(717\) 0.0600228 + 2.89845i 0.00224159 + 0.108245i
\(718\) 0.168760 0.292302i 0.00629809 0.0109086i
\(719\) 13.4524 + 23.3002i 0.501690 + 0.868953i 0.999998 + 0.00195263i \(0.000621541\pi\)
−0.498308 + 0.867000i \(0.666045\pi\)
\(720\) 11.9880 3.75053i 0.446766 0.139774i
\(721\) −3.56262 31.7092i −0.132679 1.18091i
\(722\) −13.4339 13.4339i −0.499956 0.499956i
\(723\) −15.1974 8.35957i −0.565198 0.310896i
\(724\) −2.20615 + 3.82117i −0.0819910 + 0.142013i
\(725\) 7.76414 13.4479i 0.288353 0.499442i
\(726\) −13.3689 + 24.3041i −0.496165 + 0.902011i
\(727\) 11.7770i 0.436786i −0.975861 0.218393i \(-0.929919\pi\)
0.975861 0.218393i \(-0.0700815\pi\)
\(728\) −9.02286 3.09645i −0.334409 0.114762i
\(729\) 3.34569 + 26.7919i 0.123914 + 0.992293i
\(730\) −15.1580 + 56.5704i −0.561022 + 2.09376i
\(731\) 16.4007 + 9.46895i 0.606602 + 0.350222i
\(732\) 3.79712 + 3.64305i 0.140346 + 0.134651i
\(733\) −7.70015 + 28.7374i −0.284412 + 1.06144i 0.664857 + 0.746971i \(0.268493\pi\)
−0.949268 + 0.314468i \(0.898174\pi\)
\(734\) 16.8855 16.8855i 0.623255 0.623255i
\(735\) −48.7998 13.9864i −1.80001 0.515898i
\(736\) 1.18265 1.18265i 0.0435931 0.0435931i
\(737\) 23.7585 13.7170i 0.875157 0.505272i
\(738\) −5.69782 8.98779i −0.209740 0.330845i
\(739\) −5.11564 19.0918i −0.188182 0.702304i −0.993927 0.110042i \(-0.964902\pi\)
0.805745 0.592262i \(-0.201765\pi\)
\(740\) −15.7148 27.2188i −0.577686 1.00058i
\(741\) −0.0405287 + 0.251198i −0.00148886 + 0.00922798i
\(742\) −5.88449 + 2.30734i −0.216026 + 0.0847052i
\(743\) 20.1411 20.1411i 0.738906 0.738906i −0.233460 0.972366i \(-0.575005\pi\)
0.972366 + 0.233460i \(0.0750048\pi\)
\(744\) −1.87130 + 0.543180i −0.0686053 + 0.0199139i
\(745\) −27.7259 16.0075i −1.01580 0.586471i
\(746\) −3.41343 12.7391i −0.124975 0.466412i
\(747\) 29.7528 + 27.3852i 1.08860 + 1.00197i
\(748\) −23.8970 + 23.8970i −0.873762 + 0.873762i
\(749\) 5.19787 + 46.2638i 0.189926 + 1.69044i
\(750\) −53.0352 13.0401i −1.93657 0.476157i
\(751\) 22.3293 12.8918i 0.814807 0.470429i −0.0338151 0.999428i \(-0.510766\pi\)
0.848623 + 0.528999i \(0.177432\pi\)
\(752\) 4.20894 1.12778i 0.153484 0.0411260i
\(753\) −3.19824 + 3.33350i −0.116550 + 0.121480i
\(754\) 3.67562 2.54023i 0.133858 0.0925097i
\(755\) 31.0895i 1.13146i
\(756\) 13.6948 + 1.20549i 0.498074 + 0.0438431i
\(757\) 19.6394 0.713807 0.356903 0.934141i \(-0.383833\pi\)
0.356903 + 0.934141i \(0.383833\pi\)
\(758\) 12.5385 + 21.7173i 0.455418 + 0.788806i
\(759\) 15.0536 0.311738i 0.546410 0.0113154i
\(760\) −0.164782 + 0.0441532i −0.00597727 + 0.00160160i
\(761\) −4.50906 + 16.8280i −0.163453 + 0.610016i 0.834779 + 0.550585i \(0.185595\pi\)
−0.998232 + 0.0594308i \(0.981071\pi\)
\(762\) −6.29712 10.4034i −0.228120 0.376874i
\(763\) 4.73106 31.3213i 0.171276 1.13391i
\(764\) 4.15781 0.150424
\(765\) 60.0933 + 55.3115i 2.17268 + 1.99979i
\(766\) 5.10083 + 2.94497i 0.184300 + 0.106406i
\(767\) −23.5908 11.1773i −0.851816 0.403590i
\(768\) 0.482830 + 1.66339i 0.0174226 + 0.0600225i
\(769\) 29.8709 + 29.8709i 1.07717 + 1.07717i 0.996762 + 0.0804097i \(0.0256229\pi\)
0.0804097 + 0.996762i \(0.474377\pi\)
\(770\) 35.9131 45.0045i 1.29422 1.62185i
\(771\) 10.8613 + 2.67053i 0.391159 + 0.0961767i
\(772\) −0.892300 + 3.33011i −0.0321146 + 0.119853i
\(773\) 7.66877 + 28.6202i 0.275827 + 1.02940i 0.955285 + 0.295685i \(0.0955479\pi\)
−0.679459 + 0.733714i \(0.737785\pi\)
\(774\) 8.52632 + 1.91013i