Properties

Label 210.3.w.b.17.2
Level 210
Weight 3
Character 210.17
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 17.2
Character \(\chi\) \(=\) 210.17
Dual form 210.3.w.b.173.2

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36603 + 0.366025i) q^{2} +(-2.98701 - 0.278846i) q^{3} +(1.73205 + 1.00000i) q^{4} +(-4.38913 - 2.39490i) q^{5} +(-3.97827 - 1.47423i) q^{6} +(5.69479 + 4.07055i) q^{7} +(2.00000 + 2.00000i) q^{8} +(8.84449 + 1.66583i) q^{9} +O(q^{10})\) \(q+(1.36603 + 0.366025i) q^{2} +(-2.98701 - 0.278846i) q^{3} +(1.73205 + 1.00000i) q^{4} +(-4.38913 - 2.39490i) q^{5} +(-3.97827 - 1.47423i) q^{6} +(5.69479 + 4.07055i) q^{7} +(2.00000 + 2.00000i) q^{8} +(8.84449 + 1.66583i) q^{9} +(-5.11906 - 4.87803i) q^{10} +(12.1554 + 7.01794i) q^{11} +(-4.89481 - 3.46999i) q^{12} +(7.32665 + 7.32665i) q^{13} +(6.28930 + 7.64491i) q^{14} +(12.4426 + 8.37750i) q^{15} +(2.00000 + 3.46410i) q^{16} +(-8.77125 + 2.35025i) q^{17} +(11.4721 + 5.51287i) q^{18} +(13.9857 + 24.2240i) q^{19} +(-5.20729 - 8.53722i) q^{20} +(-15.8754 - 13.7467i) q^{21} +(14.0359 + 14.0359i) q^{22} +(8.52605 - 31.8197i) q^{23} +(-5.41633 - 6.53172i) q^{24} +(13.5289 + 21.0231i) q^{25} +(7.32665 + 12.6901i) q^{26} +(-25.9541 - 7.44210i) q^{27} +(5.79312 + 12.7452i) q^{28} +4.58689 q^{29} +(13.9305 + 15.9982i) q^{30} +(-31.4105 - 18.1349i) q^{31} +(1.46410 + 5.46410i) q^{32} +(-34.3515 - 24.3522i) q^{33} -12.8420 q^{34} +(-15.2466 - 31.5046i) q^{35} +(13.6533 + 11.7298i) q^{36} +(-9.81415 + 36.6269i) q^{37} +(10.2383 + 38.2097i) q^{38} +(-19.8418 - 23.9278i) q^{39} +(-3.98845 - 13.5681i) q^{40} +53.2920 q^{41} +(-16.6545 - 24.5892i) q^{42} +(16.6145 - 16.6145i) q^{43} +(14.0359 + 24.3109i) q^{44} +(-34.8301 - 28.4932i) q^{45} +(23.2936 - 40.3457i) q^{46} +(4.62343 - 17.2549i) q^{47} +(-5.00808 - 10.9050i) q^{48} +(15.8613 + 46.3618i) q^{49} +(10.7858 + 33.6700i) q^{50} +(26.8552 - 4.57440i) q^{51} +(5.36348 + 20.0168i) q^{52} +(-78.9680 + 21.1594i) q^{53} +(-32.7300 - 19.6660i) q^{54} +(-36.5444 - 59.9137i) q^{55} +(3.24848 + 19.5307i) q^{56} +(-35.0208 - 76.2571i) q^{57} +(6.26580 + 1.67892i) q^{58} +(-8.07299 - 4.66094i) q^{59} +(13.1737 + 26.9528i) q^{60} +(92.7811 - 53.5672i) q^{61} +(-36.2697 - 36.2697i) q^{62} +(43.5867 + 45.4885i) q^{63} +8.00000i q^{64} +(-14.6110 - 49.7042i) q^{65} +(-38.0115 - 45.8392i) q^{66} +(-90.5133 + 24.2530i) q^{67} +(-17.5425 - 4.70050i) q^{68} +(-34.3402 + 92.6683i) q^{69} +(-9.29572 - 48.6168i) q^{70} -31.9798i q^{71} +(14.3573 + 21.0206i) q^{72} +(-63.8772 + 17.1159i) q^{73} +(-26.8128 + 46.4411i) q^{74} +(-34.5487 - 66.5687i) q^{75} +55.9428i q^{76} +(40.6558 + 89.4450i) q^{77} +(-18.3462 - 39.9486i) q^{78} +(46.9255 - 27.0925i) q^{79} +(-0.482065 - 19.9942i) q^{80} +(75.4500 + 29.4668i) q^{81} +(72.7983 + 19.5062i) q^{82} +(37.9054 - 37.9054i) q^{83} +(-13.7502 - 39.6854i) q^{84} +(44.1267 + 10.6908i) q^{85} +(28.7771 - 16.6145i) q^{86} +(-13.7011 - 1.27903i) q^{87} +(10.2750 + 38.3467i) q^{88} +(-91.9135 + 53.0663i) q^{89} +(-37.1495 - 51.6712i) q^{90} +(11.9002 + 71.5472i) q^{91} +(46.5872 - 46.5872i) q^{92} +(88.7667 + 62.9277i) q^{93} +(12.6314 - 21.8783i) q^{94} +(-3.37101 - 139.816i) q^{95} +(-2.84965 - 16.7296i) q^{96} +(59.6232 - 59.6232i) q^{97} +(4.69727 + 69.1371i) q^{98} +(95.8179 + 82.3190i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + O(q^{10}) \) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + 24q^{10} - 12q^{12} + 16q^{14} + 68q^{15} + 128q^{16} - 12q^{18} + 36q^{21} + 16q^{22} + 12q^{23} - 16q^{25} + 8q^{28} + 112q^{29} + 22q^{30} - 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} - 24q^{38} - 64q^{39} - 88q^{42} + 32q^{43} + 16q^{44} - 474q^{45} - 24q^{46} + 96q^{47} - 40q^{50} - 84q^{51} - 56q^{53} + 72q^{54} - 220q^{57} + 56q^{58} - 672q^{59} + 24q^{60} + 600q^{61} - 114q^{63} - 28q^{65} + 16q^{67} + 40q^{72} - 624q^{73} + 64q^{74} - 144q^{75} - 208q^{77} - 248q^{78} + 48q^{80} - 64q^{81} - 192q^{82} - 160q^{84} - 152q^{85} - 672q^{87} - 16q^{88} - 144q^{89} - 232q^{91} - 48q^{92} - 202q^{93} - 136q^{95} - 48q^{96} - 128q^{98} - 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36603 + 0.366025i 0.683013 + 0.183013i
\(3\) −2.98701 0.278846i −0.995671 0.0929485i
\(4\) 1.73205 + 1.00000i 0.433013 + 0.250000i
\(5\) −4.38913 2.39490i −0.877825 0.478981i
\(6\) −3.97827 1.47423i −0.663045 0.245705i
\(7\) 5.69479 + 4.07055i 0.813541 + 0.581507i
\(8\) 2.00000 + 2.00000i 0.250000 + 0.250000i
\(9\) 8.84449 + 1.66583i 0.982721 + 0.185092i
\(10\) −5.11906 4.87803i −0.511906 0.487803i
\(11\) 12.1554 + 7.01794i 1.10504 + 0.637995i 0.937540 0.347877i \(-0.113097\pi\)
0.167499 + 0.985872i \(0.446431\pi\)
\(12\) −4.89481 3.46999i −0.407901 0.289166i
\(13\) 7.32665 + 7.32665i 0.563588 + 0.563588i 0.930325 0.366736i \(-0.119525\pi\)
−0.366736 + 0.930325i \(0.619525\pi\)
\(14\) 6.28930 + 7.64491i 0.449236 + 0.546065i
\(15\) 12.4426 + 8.37750i 0.829505 + 0.558500i
\(16\) 2.00000 + 3.46410i 0.125000 + 0.216506i
\(17\) −8.77125 + 2.35025i −0.515956 + 0.138250i −0.507395 0.861713i \(-0.669392\pi\)
−0.00856047 + 0.999963i \(0.502725\pi\)
\(18\) 11.4721 + 5.51287i 0.637337 + 0.306271i
\(19\) 13.9857 + 24.2240i 0.736090 + 1.27495i 0.954243 + 0.299031i \(0.0966633\pi\)
−0.218153 + 0.975914i \(0.570003\pi\)
\(20\) −5.20729 8.53722i −0.260364 0.426861i
\(21\) −15.8754 13.7467i −0.755969 0.654607i
\(22\) 14.0359 + 14.0359i 0.637995 + 0.637995i
\(23\) 8.52605 31.8197i 0.370698 1.38346i −0.488832 0.872378i \(-0.662577\pi\)
0.859530 0.511086i \(-0.170757\pi\)
\(24\) −5.41633 6.53172i −0.225681 0.272155i
\(25\) 13.5289 + 21.0231i 0.541155 + 0.840923i
\(26\) 7.32665 + 12.6901i 0.281794 + 0.488082i
\(27\) −25.9541 7.44210i −0.961263 0.275633i
\(28\) 5.79312 + 12.7452i 0.206897 + 0.455185i
\(29\) 4.58689 0.158169 0.0790843 0.996868i \(-0.474800\pi\)
0.0790843 + 0.996868i \(0.474800\pi\)
\(30\) 13.9305 + 15.9982i 0.464350 + 0.533272i
\(31\) −31.4105 18.1349i −1.01324 0.584995i −0.101103 0.994876i \(-0.532237\pi\)
−0.912139 + 0.409881i \(0.865570\pi\)
\(32\) 1.46410 + 5.46410i 0.0457532 + 0.170753i
\(33\) −34.3515 24.3522i −1.04095 0.737945i
\(34\) −12.8420 −0.377706
\(35\) −15.2466 31.5046i −0.435617 0.900132i
\(36\) 13.6533 + 11.7298i 0.379258 + 0.325828i
\(37\) −9.81415 + 36.6269i −0.265247 + 0.989917i 0.696851 + 0.717216i \(0.254584\pi\)
−0.962099 + 0.272701i \(0.912083\pi\)
\(38\) 10.2383 + 38.2097i 0.269428 + 1.00552i
\(39\) −19.8418 23.9278i −0.508764 0.613533i
\(40\) −3.98845 13.5681i −0.0997112 0.339202i
\(41\) 53.2920 1.29981 0.649903 0.760017i \(-0.274810\pi\)
0.649903 + 0.760017i \(0.274810\pi\)
\(42\) −16.6545 24.5892i −0.396535 0.585457i
\(43\) 16.6145 16.6145i 0.386383 0.386383i −0.487012 0.873395i \(-0.661913\pi\)
0.873395 + 0.487012i \(0.161913\pi\)
\(44\) 14.0359 + 24.3109i 0.318997 + 0.552520i
\(45\) −34.8301 28.4932i −0.774002 0.633183i
\(46\) 23.2936 40.3457i 0.506383 0.877081i
\(47\) 4.62343 17.2549i 0.0983708 0.367125i −0.899138 0.437665i \(-0.855806\pi\)
0.997509 + 0.0705401i \(0.0224723\pi\)
\(48\) −5.00808 10.9050i −0.104335 0.227188i
\(49\) 15.8613 + 46.3618i 0.323699 + 0.946160i
\(50\) 10.7858 + 33.6700i 0.215716 + 0.673399i
\(51\) 26.8552 4.57440i 0.526572 0.0896941i
\(52\) 5.36348 + 20.0168i 0.103144 + 0.384938i
\(53\) −78.9680 + 21.1594i −1.48996 + 0.399234i −0.909724 0.415212i \(-0.863707\pi\)
−0.580238 + 0.814447i \(0.697041\pi\)
\(54\) −32.7300 19.6660i −0.606110 0.364184i
\(55\) −36.5444 59.9137i −0.664444 1.08934i
\(56\) 3.24848 + 19.5307i 0.0580086 + 0.348762i
\(57\) −35.0208 76.2571i −0.614399 1.33784i
\(58\) 6.26580 + 1.67892i 0.108031 + 0.0289468i
\(59\) −8.07299 4.66094i −0.136830 0.0789990i 0.430022 0.902818i \(-0.358506\pi\)
−0.566853 + 0.823819i \(0.691839\pi\)
\(60\) 13.1737 + 26.9528i 0.219561 + 0.449214i
\(61\) 92.7811 53.5672i 1.52100 0.878151i 0.521309 0.853368i \(-0.325444\pi\)
0.999693 0.0247829i \(-0.00788946\pi\)
\(62\) −36.2697 36.2697i −0.584995 0.584995i
\(63\) 43.5867 + 45.4885i 0.691852 + 0.722039i
\(64\) 8.00000i 0.125000i
\(65\) −14.6110 49.7042i −0.224784 0.764680i
\(66\) −38.0115 45.8392i −0.575932 0.694533i
\(67\) −90.5133 + 24.2530i −1.35095 + 0.361985i −0.860484 0.509478i \(-0.829839\pi\)
−0.490462 + 0.871463i \(0.663172\pi\)
\(68\) −17.5425 4.70050i −0.257978 0.0691250i
\(69\) −34.3402 + 92.6683i −0.497684 + 1.34302i
\(70\) −9.29572 48.6168i −0.132796 0.694525i
\(71\) 31.9798i 0.450420i −0.974310 0.225210i \(-0.927693\pi\)
0.974310 0.225210i \(-0.0723068\pi\)
\(72\) 14.3573 + 21.0206i 0.199407 + 0.291953i
\(73\) −63.8772 + 17.1159i −0.875031 + 0.234464i −0.668262 0.743926i \(-0.732961\pi\)
−0.206769 + 0.978390i \(0.566295\pi\)
\(74\) −26.8128 + 46.4411i −0.362335 + 0.627582i
\(75\) −34.5487 66.5687i −0.460650 0.887582i
\(76\) 55.9428i 0.736090i
\(77\) 40.6558 + 89.4450i 0.527997 + 1.16162i
\(78\) −18.3462 39.9486i −0.235208 0.512161i
\(79\) 46.9255 27.0925i 0.593994 0.342943i −0.172681 0.984978i \(-0.555243\pi\)
0.766675 + 0.642035i \(0.221910\pi\)
\(80\) −0.482065 19.9942i −0.00602581 0.249927i
\(81\) 75.4500 + 29.4668i 0.931482 + 0.363788i
\(82\) 72.7983 + 19.5062i 0.887784 + 0.237881i
\(83\) 37.9054 37.9054i 0.456692 0.456692i −0.440876 0.897568i \(-0.645332\pi\)
0.897568 + 0.440876i \(0.145332\pi\)
\(84\) −13.7502 39.6854i −0.163693 0.472446i
\(85\) 44.1267 + 10.6908i 0.519138 + 0.125774i
\(86\) 28.7771 16.6145i 0.334617 0.193191i
\(87\) −13.7011 1.27903i −0.157484 0.0147015i
\(88\) 10.2750 + 38.3467i 0.116761 + 0.435759i
\(89\) −91.9135 + 53.0663i −1.03274 + 0.596251i −0.917767 0.397118i \(-0.870010\pi\)
−0.114969 + 0.993369i \(0.536677\pi\)
\(90\) −37.1495 51.6712i −0.412773 0.574124i
\(91\) 11.9002 + 71.5472i 0.130772 + 0.786233i
\(92\) 46.5872 46.5872i 0.506383 0.506383i
\(93\) 88.7667 + 62.9277i 0.954481 + 0.676642i
\(94\) 12.6314 21.8783i 0.134377 0.232748i
\(95\) −3.37101 139.816i −0.0354843 1.47175i
\(96\) −2.84965 16.7296i −0.0296839 0.174267i
\(97\) 59.6232 59.6232i 0.614672 0.614672i −0.329488 0.944160i \(-0.606876\pi\)
0.944160 + 0.329488i \(0.106876\pi\)
\(98\) 4.69727 + 69.1371i 0.0479314 + 0.705480i
\(99\) 95.8179 + 82.3190i 0.967858 + 0.831505i
\(100\) 2.40962 + 49.9419i 0.0240962 + 0.499419i
\(101\) −60.3990 + 104.614i −0.598010 + 1.03578i 0.395104 + 0.918636i \(0.370708\pi\)
−0.993114 + 0.117148i \(0.962625\pi\)
\(102\) 38.3592 + 3.58093i 0.376071 + 0.0351072i
\(103\) 33.2542 124.106i 0.322856 1.20491i −0.593594 0.804765i \(-0.702291\pi\)
0.916450 0.400150i \(-0.131042\pi\)
\(104\) 29.3066i 0.281794i
\(105\) 36.7568 + 98.3562i 0.350065 + 0.936725i
\(106\) −115.617 −1.09073
\(107\) −94.0731 25.2068i −0.879188 0.235578i −0.209131 0.977888i \(-0.567064\pi\)
−0.670057 + 0.742310i \(0.733730\pi\)
\(108\) −37.5117 38.8442i −0.347331 0.359668i
\(109\) 2.94309 + 1.69919i 0.0270008 + 0.0155889i 0.513440 0.858126i \(-0.328371\pi\)
−0.486439 + 0.873715i \(0.661704\pi\)
\(110\) −27.9907 95.2199i −0.254461 0.865635i
\(111\) 39.5283 106.668i 0.356110 0.960977i
\(112\) −2.71122 + 27.8684i −0.0242073 + 0.248825i
\(113\) 29.7534 + 29.7534i 0.263304 + 0.263304i 0.826395 0.563091i \(-0.190388\pi\)
−0.563091 + 0.826395i \(0.690388\pi\)
\(114\) −19.9272 116.988i −0.174800 1.02621i
\(115\) −113.627 + 119.241i −0.988061 + 1.03688i
\(116\) 7.94472 + 4.58689i 0.0684890 + 0.0395421i
\(117\) 52.5955 + 77.0054i 0.449534 + 0.658166i
\(118\) −9.32188 9.32188i −0.0789990 0.0789990i
\(119\) −59.5172 22.3196i −0.500145 0.187560i
\(120\) 8.13015 + 41.6401i 0.0677512 + 0.347001i
\(121\) 38.0030 + 65.8232i 0.314075 + 0.543993i
\(122\) 146.348 39.2139i 1.19958 0.321426i
\(123\) −159.184 14.8602i −1.29418 0.120815i
\(124\) −36.2697 62.8210i −0.292498 0.506621i
\(125\) −9.03171 124.673i −0.0722537 0.997386i
\(126\) 42.8906 + 78.0923i 0.340401 + 0.619780i
\(127\) −78.4974 78.4974i −0.618090 0.618090i 0.326951 0.945041i \(-0.393979\pi\)
−0.945041 + 0.326951i \(0.893979\pi\)
\(128\) −2.92820 + 10.9282i −0.0228766 + 0.0853766i
\(129\) −54.2605 + 44.9947i −0.420624 + 0.348796i
\(130\) −1.76596 73.2452i −0.0135843 0.563425i
\(131\) −3.56339 6.17197i −0.0272015 0.0471143i 0.852104 0.523372i \(-0.175326\pi\)
−0.879306 + 0.476258i \(0.841993\pi\)
\(132\) −35.1464 76.5307i −0.266261 0.579778i
\(133\) −18.9591 + 194.880i −0.142550 + 1.46526i
\(134\) −132.521 −0.988961
\(135\) 96.0927 + 94.8219i 0.711798 + 0.702384i
\(136\) −22.2430 12.8420i −0.163551 0.0944265i
\(137\) −34.5562 128.965i −0.252235 0.941353i −0.969608 0.244664i \(-0.921322\pi\)
0.717373 0.696689i \(-0.245344\pi\)
\(138\) −80.8285 + 114.018i −0.585714 + 0.826216i
\(139\) 176.979 1.27323 0.636615 0.771182i \(-0.280334\pi\)
0.636615 + 0.771182i \(0.280334\pi\)
\(140\) 5.09677 69.8142i 0.0364055 0.498673i
\(141\) −18.6217 + 50.2513i −0.132069 + 0.356392i
\(142\) 11.7054 43.6852i 0.0824326 0.307643i
\(143\) 37.6406 + 140.477i 0.263221 + 0.982354i
\(144\) 11.9184 + 33.9699i 0.0827665 + 0.235902i
\(145\) −20.1324 10.9852i −0.138844 0.0757597i
\(146\) −93.5228 −0.640567
\(147\) −34.4500 142.906i −0.234354 0.972151i
\(148\) −53.6255 + 53.6255i −0.362335 + 0.362335i
\(149\) 26.7783 + 46.3813i 0.179720 + 0.311284i 0.941785 0.336217i \(-0.109147\pi\)
−0.762065 + 0.647501i \(0.775814\pi\)
\(150\) −22.8286 103.580i −0.152191 0.690535i
\(151\) 40.7500 70.5810i 0.269867 0.467424i −0.698960 0.715161i \(-0.746353\pi\)
0.968827 + 0.247737i \(0.0796868\pi\)
\(152\) −20.4765 + 76.4193i −0.134714 + 0.502759i
\(153\) −81.4923 + 6.17534i −0.532630 + 0.0403617i
\(154\) 22.7977 + 137.065i 0.148037 + 0.890034i
\(155\) 94.4334 + 154.821i 0.609248 + 0.998847i
\(156\) −10.4392 61.2860i −0.0669179 0.392859i
\(157\) 15.6803 + 58.5197i 0.0998746 + 0.372737i 0.997713 0.0675872i \(-0.0215301\pi\)
−0.897839 + 0.440324i \(0.854863\pi\)
\(158\) 74.0180 19.8331i 0.468468 0.125526i
\(159\) 241.779 41.1836i 1.52062 0.259016i
\(160\) 6.65987 27.4890i 0.0416242 0.171806i
\(161\) 178.078 146.501i 1.10607 0.909942i
\(162\) 92.2810 + 67.8691i 0.569636 + 0.418945i
\(163\) 175.291 + 46.9691i 1.07541 + 0.288154i 0.752712 0.658350i \(-0.228745\pi\)
0.322693 + 0.946504i \(0.395412\pi\)
\(164\) 92.3045 + 53.2920i 0.562832 + 0.324951i
\(165\) 92.4520 + 189.153i 0.560315 + 1.14638i
\(166\) 65.6541 37.9054i 0.395506 0.228346i
\(167\) 39.9775 + 39.9775i 0.239386 + 0.239386i 0.816596 0.577210i \(-0.195858\pi\)
−0.577210 + 0.816596i \(0.695858\pi\)
\(168\) −4.25721 59.2442i −0.0253406 0.352644i
\(169\) 61.6404i 0.364736i
\(170\) 56.3652 + 30.7553i 0.331560 + 0.180914i
\(171\) 83.3435 + 237.546i 0.487389 + 1.38916i
\(172\) 45.3916 12.1626i 0.263904 0.0707130i
\(173\) 11.2771 + 3.02168i 0.0651853 + 0.0174664i 0.291264 0.956643i \(-0.405924\pi\)
−0.226079 + 0.974109i \(0.572591\pi\)
\(174\) −18.2479 6.76214i −0.104873 0.0388629i
\(175\) −8.53136 + 174.792i −0.0487506 + 0.998811i
\(176\) 56.1435i 0.318997i
\(177\) 22.8144 + 16.1734i 0.128895 + 0.0913752i
\(178\) −144.980 + 38.8472i −0.814494 + 0.218243i
\(179\) 39.1237 67.7642i 0.218568 0.378571i −0.735802 0.677196i \(-0.763195\pi\)
0.954370 + 0.298625i \(0.0965281\pi\)
\(180\) −31.8342 84.1818i −0.176857 0.467677i
\(181\) 94.0811i 0.519785i 0.965638 + 0.259893i \(0.0836872\pi\)
−0.965638 + 0.259893i \(0.916313\pi\)
\(182\) −9.93206 + 102.091i −0.0545718 + 0.560940i
\(183\) −292.075 + 134.134i −1.59604 + 0.732974i
\(184\) 80.6914 46.5872i 0.438540 0.253191i
\(185\) 130.793 137.256i 0.706992 0.741926i
\(186\) 98.2245 + 118.452i 0.528089 + 0.636837i
\(187\) −123.112 32.9878i −0.658354 0.176405i
\(188\) 25.2629 25.2629i 0.134377 0.134377i
\(189\) −117.510 148.029i −0.621744 0.783220i
\(190\) 46.5715 192.227i 0.245113 1.01172i
\(191\) 125.517 72.4674i 0.657158 0.379410i −0.134035 0.990977i \(-0.542793\pi\)
0.791193 + 0.611566i \(0.209460\pi\)
\(192\) 2.23076 23.8961i 0.0116186 0.124459i
\(193\) −58.1535 217.032i −0.301313 1.12452i −0.936073 0.351807i \(-0.885567\pi\)
0.634759 0.772710i \(-0.281099\pi\)
\(194\) 103.270 59.6232i 0.532322 0.307336i
\(195\) 29.7834 + 152.541i 0.152735 + 0.782263i
\(196\) −18.8893 + 96.1623i −0.0963742 + 0.490624i
\(197\) −218.003 + 218.003i −1.10661 + 1.10661i −0.113020 + 0.993593i \(0.536052\pi\)
−0.993593 + 0.113020i \(0.963948\pi\)
\(198\) 100.759 + 147.522i 0.508883 + 0.745059i
\(199\) 85.5652 148.203i 0.429976 0.744740i −0.566895 0.823790i \(-0.691855\pi\)
0.996871 + 0.0790503i \(0.0251888\pi\)
\(200\) −14.9884 + 69.1039i −0.0749420 + 0.345519i
\(201\) 277.127 47.2047i 1.37874 0.234849i
\(202\) −120.798 + 120.798i −0.598010 + 0.598010i
\(203\) 26.1214 + 18.6711i 0.128677 + 0.0919761i
\(204\) 51.0889 + 18.9321i 0.250436 + 0.0928044i
\(205\) −233.906 127.629i −1.14100 0.622582i
\(206\) 90.8521 157.360i 0.441029 0.763885i
\(207\) 128.415 267.226i 0.620361 1.29095i
\(208\) −10.7270 + 40.0336i −0.0515719 + 0.192469i
\(209\) 392.604i 1.87849i
\(210\) 14.2099 + 147.811i 0.0676661 + 0.703862i
\(211\) −136.203 −0.645510 −0.322755 0.946483i \(-0.604609\pi\)
−0.322755 + 0.946483i \(0.604609\pi\)
\(212\) −157.936 42.3188i −0.744981 0.199617i
\(213\) −8.91743 + 95.5241i −0.0418659 + 0.448470i
\(214\) −119.280 68.8663i −0.557383 0.321805i
\(215\) −112.713 + 33.1329i −0.524247 + 0.154107i
\(216\) −37.0240 66.7924i −0.171407 0.309224i
\(217\) −105.057 231.132i −0.484135 1.06513i
\(218\) 3.39838 + 3.39838i 0.0155889 + 0.0155889i
\(219\) 195.575 33.3134i 0.893035 0.152116i
\(220\) −3.38310 140.318i −0.0153777 0.637809i
\(221\) −81.4833 47.0444i −0.368703 0.212871i
\(222\) 93.0400 131.243i 0.419099 0.591187i
\(223\) −253.892 253.892i −1.13853 1.13853i −0.988714 0.149814i \(-0.952132\pi\)
−0.149814 0.988714i \(-0.547868\pi\)
\(224\) −13.9041 + 37.0766i −0.0620721 + 0.165521i
\(225\) 84.6351 + 208.475i 0.376156 + 0.926556i
\(226\) 29.7534 + 51.5344i 0.131652 + 0.228028i
\(227\) −18.1203 + 4.85532i −0.0798251 + 0.0213891i −0.298511 0.954406i \(-0.596490\pi\)
0.218685 + 0.975795i \(0.429823\pi\)
\(228\) 15.5994 167.102i 0.0684185 0.732903i
\(229\) −156.509 271.082i −0.683446 1.18376i −0.973923 0.226881i \(-0.927147\pi\)
0.290477 0.956882i \(-0.406186\pi\)
\(230\) −198.863 + 121.297i −0.864621 + 0.527376i
\(231\) −96.4979 278.510i −0.417740 1.20567i
\(232\) 9.17377 + 9.17377i 0.0395421 + 0.0395421i
\(233\) 58.3274 217.681i 0.250332 0.934253i −0.720296 0.693667i \(-0.755994\pi\)
0.970628 0.240585i \(-0.0773394\pi\)
\(234\) 43.6609 + 124.443i 0.186585 + 0.531806i
\(235\) −61.6165 + 64.6611i −0.262198 + 0.275154i
\(236\) −9.32188 16.1460i −0.0394995 0.0684152i
\(237\) −147.722 + 67.8406i −0.623299 + 0.286247i
\(238\) −73.1325 52.2740i −0.307279 0.219639i
\(239\) −349.115 −1.46073 −0.730367 0.683055i \(-0.760651\pi\)
−0.730367 + 0.683055i \(0.760651\pi\)
\(240\) −4.13536 + 59.8573i −0.0172307 + 0.249406i
\(241\) −169.737 97.9974i −0.704301 0.406628i 0.104646 0.994509i \(-0.466629\pi\)
−0.808947 + 0.587881i \(0.799962\pi\)
\(242\) 27.8201 + 103.826i 0.114959 + 0.429034i
\(243\) −217.153 109.057i −0.893636 0.448793i
\(244\) 214.269 0.878151
\(245\) 41.4151 241.474i 0.169041 0.985609i
\(246\) −212.010 78.5649i −0.861830 0.319369i
\(247\) −75.0121 + 279.949i −0.303693 + 1.13340i
\(248\) −26.5513 99.0907i −0.107062 0.399559i
\(249\) −123.794 + 102.654i −0.497163 + 0.412266i
\(250\) 33.2960 173.613i 0.133184 0.694451i
\(251\) −325.764 −1.29787 −0.648933 0.760846i \(-0.724784\pi\)
−0.648933 + 0.760846i \(0.724784\pi\)
\(252\) 30.0058 + 122.375i 0.119071 + 0.485615i
\(253\) 326.946 326.946i 1.29228 1.29228i
\(254\) −78.4974 135.961i −0.309045 0.535281i
\(255\) −128.826 44.2380i −0.505200 0.173482i
\(256\) −8.00000 + 13.8564i −0.0312500 + 0.0541266i
\(257\) −58.8466 + 219.618i −0.228975 + 0.854547i 0.751798 + 0.659394i \(0.229187\pi\)
−0.980773 + 0.195153i \(0.937480\pi\)
\(258\) −90.5904 + 41.6032i −0.351126 + 0.161253i
\(259\) −204.981 + 168.634i −0.791433 + 0.651095i
\(260\) 24.3973 100.701i 0.0938356 0.387312i
\(261\) 40.5687 + 7.64098i 0.155436 + 0.0292758i
\(262\) −2.60858 9.73537i −0.00995643 0.0371579i
\(263\) 491.050 131.577i 1.86711 0.500291i 0.867114 0.498110i \(-0.165973\pi\)
0.999998 0.00218051i \(-0.000694079\pi\)
\(264\) −19.9987 117.407i −0.0757526 0.444725i
\(265\) 397.275 + 96.2494i 1.49915 + 0.363205i
\(266\) −97.2297 + 259.271i −0.365525 + 0.974704i
\(267\) 289.344 132.880i 1.08369 0.497678i
\(268\) −181.027 48.5060i −0.675473 0.180992i
\(269\) −131.175 75.7340i −0.487640 0.281539i 0.235955 0.971764i \(-0.424178\pi\)
−0.723595 + 0.690225i \(0.757512\pi\)
\(270\) 96.5579 + 164.701i 0.357622 + 0.610006i
\(271\) 151.089 87.2311i 0.557523 0.321886i −0.194628 0.980877i \(-0.562350\pi\)
0.752151 + 0.658991i \(0.229017\pi\)
\(272\) −25.6840 25.6840i −0.0944265 0.0944265i
\(273\) −15.5956 217.031i −0.0571266 0.794984i
\(274\) 188.818i 0.689119i
\(275\) 16.9106 + 350.489i 0.0614931 + 1.27451i
\(276\) −152.147 + 126.166i −0.551258 + 0.457123i
\(277\) −166.813 + 44.6974i −0.602213 + 0.161362i −0.547029 0.837114i \(-0.684241\pi\)
−0.0551838 + 0.998476i \(0.517574\pi\)
\(278\) 241.758 + 64.7788i 0.869633 + 0.233017i
\(279\) −247.600 212.718i −0.887456 0.762431i
\(280\) 32.5161 93.5024i 0.116129 0.333937i
\(281\) 388.064i 1.38101i −0.723328 0.690505i \(-0.757388\pi\)
0.723328 0.690505i \(-0.242612\pi\)
\(282\) −43.8309 + 61.8285i −0.155429 + 0.219250i
\(283\) 271.424 72.7278i 0.959095 0.256989i 0.254878 0.966973i \(-0.417965\pi\)
0.704217 + 0.709985i \(0.251298\pi\)
\(284\) 31.9798 55.3907i 0.112605 0.195038i
\(285\) −28.9180 + 418.574i −0.101467 + 1.46868i
\(286\) 205.672i 0.719133i
\(287\) 303.487 + 216.928i 1.05745 + 0.755846i
\(288\) 3.84697 + 50.7661i 0.0133575 + 0.176271i
\(289\) −178.870 + 103.271i −0.618928 + 0.357338i
\(290\) −23.4806 22.3750i −0.0809675 0.0771551i
\(291\) −194.721 + 161.470i −0.669144 + 0.554878i
\(292\) −127.754 34.2317i −0.437515 0.117232i
\(293\) 214.301 214.301i 0.731402 0.731402i −0.239496 0.970897i \(-0.576982\pi\)
0.970897 + 0.239496i \(0.0769821\pi\)
\(294\) 5.24775 207.823i 0.0178495 0.706881i
\(295\) 24.2709 + 39.7915i 0.0822741 + 0.134886i
\(296\) −92.8821 + 53.6255i −0.313791 + 0.181167i
\(297\) −263.255 272.606i −0.886381 0.917866i
\(298\) 19.6031 + 73.1596i 0.0657821 + 0.245502i
\(299\) 295.599 170.664i 0.988625 0.570783i
\(300\) 6.72850 149.849i 0.0224283 0.499497i
\(301\) 162.246 26.9859i 0.539023 0.0896541i
\(302\) 81.5000 81.5000i 0.269867 0.269867i
\(303\) 209.584 295.642i 0.691696 0.975716i
\(304\) −55.9428 + 96.8958i −0.184022 + 0.318736i
\(305\) −535.516 + 12.9114i −1.75579 + 0.0423325i
\(306\) −113.581 21.3926i −0.371179 0.0699104i
\(307\) 78.8782 78.8782i 0.256932 0.256932i −0.566873 0.823805i \(-0.691847\pi\)
0.823805 + 0.566873i \(0.191847\pi\)
\(308\) −19.0272 + 195.579i −0.0617765 + 0.634997i
\(309\) −133.937 + 361.434i −0.433453 + 1.16969i
\(310\) 72.3299 + 246.055i 0.233322 + 0.793725i
\(311\) −160.628 + 278.216i −0.516489 + 0.894586i 0.483328 + 0.875440i \(0.339428\pi\)
−0.999817 + 0.0191459i \(0.993905\pi\)
\(312\) 8.17201 87.5392i 0.0261924 0.280574i
\(313\) −110.352 + 411.838i −0.352561 + 1.31578i 0.530964 + 0.847394i \(0.321830\pi\)
−0.883526 + 0.468383i \(0.844837\pi\)
\(314\) 85.6788i 0.272863i
\(315\) −82.3669 304.041i −0.261482 0.965208i
\(316\) 108.370 0.342943
\(317\) 91.8343 + 24.6069i 0.289698 + 0.0776243i 0.400741 0.916191i \(-0.368753\pi\)
−0.111043 + 0.993816i \(0.535419\pi\)
\(318\) 345.350 + 32.2393i 1.08601 + 0.101382i
\(319\) 55.7556 + 32.1905i 0.174782 + 0.100911i
\(320\) 19.1592 35.1130i 0.0598726 0.109728i
\(321\) 273.969 + 101.525i 0.853485 + 0.316277i
\(322\) 296.881 134.943i 0.921992 0.419076i
\(323\) −179.604 179.604i −0.556051 0.556051i
\(324\) 101.216 + 126.488i 0.312396 + 0.390395i
\(325\) −54.9074 + 253.150i −0.168946 + 0.778923i
\(326\) 222.260 + 128.322i 0.681780 + 0.393626i
\(327\) −8.31723 5.89618i −0.0254349 0.0180311i
\(328\) 106.584 + 106.584i 0.324951 + 0.324951i
\(329\) 96.5662 79.4429i 0.293514 0.241468i
\(330\) 57.0569 + 292.228i 0.172900 + 0.885540i
\(331\) −304.012 526.564i −0.918465 1.59083i −0.801747 0.597664i \(-0.796096\pi\)
−0.116718 0.993165i \(-0.537238\pi\)
\(332\) 103.559 27.7487i 0.311926 0.0835804i
\(333\) −147.815 + 307.598i −0.443890 + 0.923717i
\(334\) 39.9775 + 69.2431i 0.119693 + 0.207315i
\(335\) 455.358 + 110.321i 1.35928 + 0.329317i
\(336\) 15.8694 82.4873i 0.0472304 0.245498i
\(337\) 153.881 + 153.881i 0.456620 + 0.456620i 0.897544 0.440924i \(-0.145349\pi\)
−0.440924 + 0.897544i \(0.645349\pi\)
\(338\) 22.5620 84.2024i 0.0667514 0.249120i
\(339\) −80.5771 97.1703i −0.237691 0.286638i
\(340\) 65.7390 + 62.6437i 0.193350 + 0.184246i
\(341\) −254.539 440.874i −0.746448 1.29289i
\(342\) 26.9013 + 355.000i 0.0786587 + 1.03801i
\(343\) −98.3916 + 328.585i −0.286856 + 0.957974i
\(344\) 66.4578 0.193191
\(345\) 372.655 324.491i 1.08016 0.940555i
\(346\) 14.2987 + 8.25538i 0.0413258 + 0.0238595i
\(347\) −21.2896 79.4540i −0.0613534 0.228974i 0.928440 0.371482i \(-0.121150\pi\)
−0.989794 + 0.142508i \(0.954483\pi\)
\(348\) −22.4520 15.9164i −0.0645171 0.0457369i
\(349\) 279.527 0.800938 0.400469 0.916310i \(-0.368847\pi\)
0.400469 + 0.916310i \(0.368847\pi\)
\(350\) −75.6323 + 235.648i −0.216092 + 0.673279i
\(351\) −135.631 244.682i −0.386413 0.697100i
\(352\) −20.5500 + 76.6935i −0.0583806 + 0.217879i
\(353\) 77.6841 + 289.921i 0.220068 + 0.821306i 0.984321 + 0.176389i \(0.0564416\pi\)
−0.764252 + 0.644917i \(0.776892\pi\)
\(354\) 25.2452 + 30.4440i 0.0713142 + 0.0859999i
\(355\) −76.5886 + 140.363i −0.215742 + 0.395390i
\(356\) −212.265 −0.596251
\(357\) 171.555 + 83.2651i 0.480546 + 0.233236i
\(358\) 78.2474 78.2474i 0.218568 0.218568i
\(359\) 52.1344 + 90.2994i 0.145221 + 0.251530i 0.929455 0.368934i \(-0.120277\pi\)
−0.784234 + 0.620465i \(0.786944\pi\)
\(360\) −12.6737 126.647i −0.0352047 0.351796i
\(361\) −210.700 + 364.943i −0.583657 + 1.01092i
\(362\) −34.4361 + 128.517i −0.0951273 + 0.355020i
\(363\) −95.1610 207.212i −0.262152 0.570831i
\(364\) −50.9354 + 135.824i −0.139932 + 0.373142i
\(365\) 321.356 + 77.8562i 0.880428 + 0.213305i
\(366\) −448.079 + 76.3239i −1.22426 + 0.208535i
\(367\) −39.8751 148.816i −0.108652 0.405493i 0.890082 0.455800i \(-0.150647\pi\)
−0.998734 + 0.0503067i \(0.983980\pi\)
\(368\) 127.279 34.1042i 0.345866 0.0926745i
\(369\) 471.341 + 88.7755i 1.27735 + 0.240584i
\(370\) 228.907 139.622i 0.618666 0.377356i
\(371\) −535.837 200.945i −1.44430 0.541630i
\(372\) 90.8208 + 197.761i 0.244142 + 0.531615i
\(373\) −18.8574 5.05282i −0.0505560 0.0135464i 0.233452 0.972368i \(-0.424998\pi\)
−0.284008 + 0.958822i \(0.591664\pi\)
\(374\) −156.100 90.1244i −0.417380 0.240974i
\(375\) −7.78676 + 374.919i −0.0207647 + 0.999784i
\(376\) 43.7566 25.2629i 0.116374 0.0671885i
\(377\) 33.6065 + 33.6065i 0.0891419 + 0.0891419i
\(378\) −106.339 245.222i −0.281320 0.648737i
\(379\) 71.4414i 0.188500i 0.995549 + 0.0942499i \(0.0300453\pi\)
−0.995549 + 0.0942499i \(0.969955\pi\)
\(380\) 133.978 245.540i 0.352573 0.646159i
\(381\) 212.584 + 256.361i 0.557963 + 0.672864i
\(382\) 197.985 53.0498i 0.518284 0.138874i
\(383\) 245.607 + 65.8101i 0.641271 + 0.171828i 0.564779 0.825242i \(-0.308961\pi\)
0.0764917 + 0.997070i \(0.475628\pi\)
\(384\) 11.7939 31.8262i 0.0307132 0.0828806i
\(385\) 35.7689 489.952i 0.0929061 1.27260i
\(386\) 317.757i 0.823204i
\(387\) 174.623 119.270i 0.451223 0.308190i
\(388\) 162.894 43.6472i 0.419829 0.112493i
\(389\) 52.9324 91.6816i 0.136073 0.235685i −0.789934 0.613192i \(-0.789885\pi\)
0.926007 + 0.377507i \(0.123218\pi\)
\(390\) −15.1492 + 219.277i −0.0388440 + 0.562248i
\(391\) 299.137i 0.765055i
\(392\) −61.0012 + 124.446i −0.155615 + 0.317465i
\(393\) 8.92287 + 19.4294i 0.0227045 + 0.0494387i
\(394\) −377.592 + 218.003i −0.958355 + 0.553306i
\(395\) −270.846 + 6.53016i −0.685686 + 0.0165321i
\(396\) 83.6425 + 238.399i 0.211218 + 0.602017i
\(397\) 255.776 + 68.5350i 0.644273 + 0.172632i 0.566138 0.824310i \(-0.308437\pi\)
0.0781346 + 0.996943i \(0.475104\pi\)
\(398\) 171.130 171.130i 0.429976 0.429976i
\(399\) 110.973 576.822i 0.278127 1.44567i
\(400\) −45.7683 + 88.9115i −0.114421 + 0.222279i
\(401\) −455.660 + 263.075i −1.13631 + 0.656048i −0.945514 0.325582i \(-0.894440\pi\)
−0.190795 + 0.981630i \(0.561107\pi\)
\(402\) 395.841 + 36.9528i 0.984679 + 0.0919224i
\(403\) −97.2659 363.001i −0.241355 0.900748i
\(404\) −209.228 + 120.798i −0.517892 + 0.299005i
\(405\) −260.589 310.029i −0.643431 0.765504i
\(406\) 28.8483 + 35.0663i 0.0710550 + 0.0863703i
\(407\) −376.341 + 376.341i −0.924670 + 0.924670i
\(408\) 62.8592 + 44.5616i 0.154067 + 0.109220i
\(409\) −156.655 + 271.335i −0.383020 + 0.663410i −0.991492 0.130165i \(-0.958449\pi\)
0.608473 + 0.793575i \(0.291783\pi\)
\(410\) −272.805 259.960i −0.665379 0.634049i
\(411\) 67.2583 + 394.857i 0.163646 + 0.960723i
\(412\) 181.704 181.704i 0.441029 0.441029i
\(413\) −27.0014 59.4046i −0.0653786 0.143837i
\(414\) 273.229 318.034i 0.659974 0.768198i
\(415\) −257.151 + 75.5918i −0.619642 + 0.182149i
\(416\) −29.3066 + 50.7605i −0.0704485 + 0.122020i
\(417\) −528.639 49.3498i −1.26772 0.118345i
\(418\) −143.703 + 536.307i −0.343787 + 1.28303i
\(419\) 85.6100i 0.204320i −0.994768 0.102160i \(-0.967425\pi\)
0.994768 0.102160i \(-0.0325753\pi\)
\(420\) −34.6915 + 207.115i −0.0825988 + 0.493130i
\(421\) −159.411 −0.378647 −0.189324 0.981915i \(-0.560630\pi\)
−0.189324 + 0.981915i \(0.560630\pi\)
\(422\) −186.056 49.8536i −0.440891 0.118137i
\(423\) 69.6355 144.909i 0.164623 0.342574i
\(424\) −200.255 115.617i −0.472299 0.272682i
\(425\) −168.075 152.602i −0.395470 0.359064i
\(426\) −47.1457 + 127.224i −0.110671 + 0.298649i
\(427\) 746.417 + 72.6161i 1.74805 + 0.170061i
\(428\) −137.733 137.733i −0.321805 0.321805i
\(429\) −73.2616 430.101i −0.170773 1.00257i
\(430\) −166.096 + 4.00462i −0.386271 + 0.00931307i
\(431\) 497.020 + 286.955i 1.15318 + 0.665788i 0.949660 0.313283i \(-0.101429\pi\)
0.203519 + 0.979071i \(0.434762\pi\)
\(432\) −26.1280 104.792i −0.0604815 0.242574i
\(433\) 442.590 + 442.590i 1.02215 + 1.02215i 0.999749 + 0.0223976i \(0.00712997\pi\)
0.0223976 + 0.999749i \(0.492870\pi\)
\(434\) −58.9108 354.186i −0.135739 0.816097i
\(435\) 57.0727 + 38.4266i 0.131202 + 0.0883371i
\(436\) 3.39838 + 5.88617i 0.00779446 + 0.0135004i
\(437\) 890.041 238.486i 2.03671 0.545734i
\(438\) 279.354 + 26.0784i 0.637794 + 0.0595397i
\(439\) 291.416 + 504.748i 0.663818 + 1.14977i 0.979604 + 0.200936i \(0.0643984\pi\)
−0.315786 + 0.948830i \(0.602268\pi\)
\(440\) 46.7386 192.916i 0.106224 0.438446i
\(441\) 63.0538 + 436.469i 0.142979 + 0.989726i
\(442\) −94.0888 94.0888i −0.212871 0.212871i
\(443\) −184.866 + 689.927i −0.417304 + 1.55740i 0.362873 + 0.931839i \(0.381796\pi\)
−0.780176 + 0.625560i \(0.784871\pi\)
\(444\) 175.133 145.227i 0.394445 0.327088i
\(445\) 530.509 12.7907i 1.19215 0.0287431i
\(446\) −253.892 439.754i −0.569264 0.985995i
\(447\) −67.0538 146.009i −0.150009 0.326641i
\(448\) −32.5644 + 45.5583i −0.0726884 + 0.101693i
\(449\) 858.570 1.91218 0.956092 0.293067i \(-0.0946761\pi\)
0.956092 + 0.293067i \(0.0946761\pi\)
\(450\) 39.3065 + 315.761i 0.0873478 + 0.701691i
\(451\) 647.788 + 374.000i 1.43634 + 0.829269i
\(452\) 21.7810 + 81.2877i 0.0481880 + 0.179840i
\(453\) −141.402 + 199.464i −0.312146 + 0.440317i
\(454\) −26.5300 −0.0584360
\(455\) 119.117 342.530i 0.261796 0.752813i
\(456\) 82.4728 222.556i 0.180861 0.488061i
\(457\) −83.5129 + 311.674i −0.182742 + 0.682001i 0.812361 + 0.583155i \(0.198182\pi\)
−0.995103 + 0.0988461i \(0.968485\pi\)
\(458\) −114.573 427.591i −0.250158 0.933604i
\(459\) 245.141 + 4.27795i 0.534075 + 0.00932015i
\(460\) −316.049 + 92.9053i −0.687063 + 0.201968i
\(461\) −77.0717 −0.167184 −0.0835919 0.996500i \(-0.526639\pi\)
−0.0835919 + 0.996500i \(0.526639\pi\)
\(462\) −29.8769 415.772i −0.0646686 0.899940i
\(463\) 482.802 482.802i 1.04277 1.04277i 0.0437260 0.999044i \(-0.486077\pi\)
0.999044 0.0437260i \(-0.0139228\pi\)
\(464\) 9.17377 + 15.8894i 0.0197711 + 0.0342445i
\(465\) −238.903 488.786i −0.513769 1.05115i
\(466\) 159.353 276.008i 0.341960 0.592292i
\(467\) −195.115 + 728.178i −0.417805 + 1.55927i 0.361347 + 0.932432i \(0.382317\pi\)
−0.779151 + 0.626836i \(0.784350\pi\)
\(468\) 14.0927 + 185.973i 0.0301126 + 0.397378i
\(469\) −614.177 230.323i −1.30955 0.491095i
\(470\) −107.837 + 65.7755i −0.229441 + 0.139948i
\(471\) −30.5193 179.172i −0.0647969 0.380407i
\(472\) −6.82409 25.4679i −0.0144578 0.0539573i
\(473\) 318.555 85.3566i 0.673478 0.180458i
\(474\) −226.623 + 38.6020i −0.478108 + 0.0814389i
\(475\) −320.051 + 621.745i −0.673792 + 1.30894i
\(476\) −80.7672 98.1759i −0.169679 0.206252i
\(477\) −733.680 + 55.5969i −1.53811 + 0.116555i
\(478\) −476.900 127.785i −0.997700 0.267333i
\(479\) −582.226 336.148i −1.21550 0.701771i −0.251550 0.967844i \(-0.580940\pi\)
−0.963953 + 0.266073i \(0.914274\pi\)
\(480\) −27.5583 + 80.2530i −0.0574131 + 0.167194i
\(481\) −340.257 + 196.448i −0.707396 + 0.408415i
\(482\) −195.995 195.995i −0.406628 0.406628i
\(483\) −572.771 + 387.943i −1.18586 + 0.803195i
\(484\) 152.012i 0.314075i
\(485\) −404.485 + 118.902i −0.833991 + 0.245159i
\(486\) −256.720 228.458i −0.528230 0.470078i
\(487\) 143.279 38.3915i 0.294207 0.0788326i −0.108696 0.994075i \(-0.534668\pi\)
0.402904 + 0.915242i \(0.368001\pi\)
\(488\) 292.697 + 78.4278i 0.599788 + 0.160713i
\(489\) −510.500 189.176i −1.04397 0.386864i
\(490\) 144.960 314.701i 0.295836 0.642247i
\(491\) 450.687i 0.917895i 0.888463 + 0.458948i \(0.151773\pi\)
−0.888463 + 0.458948i \(0.848227\pi\)
\(492\) −260.855 184.923i −0.530192 0.375859i
\(493\) −40.2327 + 10.7803i −0.0816080 + 0.0218668i
\(494\) −204.937 + 354.961i −0.414852 + 0.718544i
\(495\) −223.411 590.783i −0.451335 1.19350i
\(496\) 145.079i 0.292498i
\(497\) 130.175 182.118i 0.261922 0.366435i
\(498\) −206.679 + 94.9166i −0.415019 + 0.190596i
\(499\) 209.835 121.149i 0.420512 0.242783i −0.274784 0.961506i \(-0.588606\pi\)
0.695296 + 0.718723i \(0.255273\pi\)
\(500\) 109.030 224.972i 0.218060 0.449944i
\(501\) −108.266 130.561i −0.216099 0.260600i
\(502\) −445.002 119.238i −0.886459 0.237526i
\(503\) 229.981 229.981i 0.457218 0.457218i −0.440523 0.897741i \(-0.645207\pi\)
0.897741 + 0.440523i \(0.145207\pi\)
\(504\) −3.80364 + 178.150i −0.00754689 + 0.353473i
\(505\) 515.640 314.515i 1.02107 0.622802i
\(506\) 566.288 326.946i 1.11915 0.646139i
\(507\) −17.1882 + 184.121i −0.0339017 + 0.363157i
\(508\) −57.4641 214.459i −0.113118 0.422163i
\(509\) −286.808 + 165.589i −0.563474 + 0.325322i −0.754539 0.656255i \(-0.772139\pi\)
0.191064 + 0.981577i \(0.438806\pi\)
\(510\) −159.787 107.584i −0.313309 0.210949i
\(511\) −433.438 162.544i −0.848216 0.318090i
\(512\) −16.0000 + 16.0000i −0.0312500 + 0.0312500i
\(513\) −182.709 732.794i −0.356158 1.42845i
\(514\) −160.772 + 278.465i −0.312786 + 0.541761i
\(515\) −443.179 + 465.078i −0.860542 + 0.903063i
\(516\) −138.977 + 23.6727i −0.269335 + 0.0458773i
\(517\) 177.293 177.293i 0.342927 0.342927i
\(518\) −341.734 + 155.329i −0.659718 + 0.299864i
\(519\) −32.8421 12.1704i −0.0632797 0.0234496i
\(520\) 70.1865 128.630i 0.134974 0.247366i
\(521\) −116.117 + 201.121i −0.222874 + 0.386029i −0.955680 0.294409i \(-0.904877\pi\)
0.732805 + 0.680438i \(0.238211\pi\)
\(522\) 52.6211 + 25.2869i 0.100807 + 0.0484424i
\(523\) 79.8784 298.110i 0.152731 0.570001i −0.846558 0.532297i \(-0.821329\pi\)
0.999289 0.0377037i \(-0.0120043\pi\)
\(524\) 14.2536i 0.0272015i
\(525\) 74.2232 519.727i 0.141378 0.989956i
\(526\) 718.947 1.36682
\(527\) 318.131 + 85.2429i 0.603664 + 0.161751i
\(528\) 15.6554 167.701i 0.0296503 0.317616i
\(529\) −481.670 278.092i −0.910530 0.525695i
\(530\) 507.459 + 276.892i 0.957469 + 0.522438i
\(531\) −63.6371 54.6719i −0.119844 0.102960i
\(532\) −227.718 + 318.583i −0.428041 + 0.598840i
\(533\) 390.452 + 390.452i 0.732555 + 0.732555i
\(534\) 443.889 75.6102i 0.831253 0.141592i
\(535\) 352.531 + 335.932i 0.658936 + 0.627910i
\(536\) −229.533 132.521i −0.428233 0.247240i
\(537\) −135.759 + 191.503i −0.252810 + 0.356617i
\(538\) −151.468 151.468i −0.281539 0.281539i
\(539\) −132.564 + 674.862i −0.245945 + 1.25206i
\(540\) 71.6156 + 260.329i 0.132621 + 0.482091i
\(541\) −409.572 709.400i −0.757065 1.31128i −0.944341 0.328968i \(-0.893299\pi\)
0.187275 0.982307i \(-0.440034\pi\)
\(542\) 238.320 63.8576i 0.439704 0.117818i
\(543\) 26.2341 281.022i 0.0483133 0.517535i
\(544\) −25.6840 44.4860i −0.0472132 0.0817757i
\(545\) −8.84818 14.5064i −0.0162352 0.0266172i
\(546\) 58.1349 302.178i 0.106474 0.553439i
\(547\) 9.65732 + 9.65732i 0.0176551 + 0.0176551i 0.715879 0.698224i \(-0.246026\pi\)
−0.698224 + 0.715879i \(0.746026\pi\)
\(548\) 69.1124 257.931i 0.126117 0.470677i
\(549\) 909.836 319.217i 1.65726 0.581452i
\(550\) −105.188 + 484.967i −0.191250 + 0.881758i
\(551\) 64.1509 + 111.113i 0.116426 + 0.201656i
\(552\) −254.017 + 116.656i −0.460176 + 0.211334i
\(553\) 377.512 + 36.7268i 0.682662 + 0.0664137i
\(554\) −244.231 −0.440850
\(555\) −428.955 + 373.515i −0.772892 + 0.673000i
\(556\) 306.537 + 176.979i 0.551325 + 0.318308i
\(557\) −197.326 736.431i −0.354266 1.32214i −0.881406 0.472360i \(-0.843402\pi\)
0.527140 0.849779i \(-0.323264\pi\)
\(558\) −260.368 381.206i −0.466609 0.683166i
\(559\) 243.457 0.435522
\(560\) 78.6421 115.825i 0.140432 0.206830i
\(561\) 358.539 + 132.864i 0.639107 + 0.236835i
\(562\) 142.041 530.105i 0.252742 0.943247i
\(563\) 151.152 + 564.109i 0.268477 + 1.00197i 0.960088 + 0.279699i \(0.0902346\pi\)
−0.691611 + 0.722270i \(0.743099\pi\)
\(564\) −82.5050 + 68.4161i −0.146285 + 0.121305i
\(565\) −59.3349 201.848i −0.105018 0.357253i
\(566\) 397.392 0.702106
\(567\) 309.726 + 474.930i 0.546254 + 0.837620i
\(568\) 63.9596 63.9596i 0.112605 0.112605i
\(569\) 182.005 + 315.242i 0.319868 + 0.554028i 0.980460 0.196717i \(-0.0630281\pi\)
−0.660592 + 0.750745i \(0.729695\pi\)
\(570\) −192.711 + 561.197i −0.338090 + 0.984557i
\(571\) 5.98571 10.3676i 0.0104829 0.0181568i −0.860736 0.509051i \(-0.829996\pi\)
0.871219 + 0.490894i \(0.163330\pi\)
\(572\) −75.2812 + 280.953i −0.131610 + 0.491177i
\(573\) −395.129 + 181.461i −0.689579 + 0.316686i
\(574\) 335.170 + 407.413i 0.583919 + 0.709779i
\(575\) 784.295 251.240i 1.36399 0.436940i
\(576\) −13.3266 + 70.7559i −0.0231365 + 0.122840i
\(577\) 25.4762 + 95.0785i 0.0441529 + 0.164781i 0.984482 0.175485i \(-0.0561495\pi\)
−0.940329 + 0.340266i \(0.889483\pi\)
\(578\) −282.141 + 75.5995i −0.488133 + 0.130795i
\(579\) 113.187 + 664.493i 0.195487 + 1.14766i
\(580\) −23.8852 39.1593i −0.0411814 0.0675160i
\(581\) 370.159 61.5675i 0.637107 0.105968i
\(582\) −325.096 + 149.299i −0.558583 + 0.256527i
\(583\) −1108.39 296.991i −1.90118 0.509419i
\(584\) −161.986 93.5228i −0.277374 0.160142i
\(585\) −46.4278 463.948i −0.0793638 0.793073i
\(586\) 371.180 214.301i 0.633412 0.365701i
\(587\) −360.927 360.927i −0.614867 0.614867i 0.329343 0.944210i \(-0.393173\pi\)
−0.944210 + 0.329343i \(0.893173\pi\)
\(588\) 83.2371 281.971i 0.141560 0.479542i
\(589\) 1014.52i 1.72244i
\(590\) 18.5899 + 63.2400i 0.0315083 + 0.107186i
\(591\) 711.966 590.388i 1.20468 0.998964i
\(592\) −146.508 + 39.2566i −0.247479 + 0.0663118i
\(593\) −360.719 96.6544i −0.608295 0.162992i −0.0584941 0.998288i \(-0.518630\pi\)
−0.549801 + 0.835295i \(0.685297\pi\)
\(594\) −259.832 468.745i −0.437428 0.789133i
\(595\) 207.775 + 240.502i 0.349202 + 0.404204i
\(596\) 107.113i 0.179720i
\(597\) −296.910 + 418.825i −0.497337 + 0.701550i
\(598\) 466.263 124.935i 0.779704 0.208921i
\(599\) −425.287 + 736.618i −0.709994 + 1.22975i 0.254864 + 0.966977i \(0.417969\pi\)
−0.964859 + 0.262770i \(0.915364\pi\)
\(600\) 64.0399 202.235i 0.106733 0.337058i
\(601\) 742.810i 1.23596i −0.786195 0.617979i \(-0.787952\pi\)
0.786195 0.617979i \(-0.212048\pi\)
\(602\) 231.509 + 22.5227i 0.384567 + 0.0374131i
\(603\) −840.946 + 63.7253i −1.39460 + 0.105681i
\(604\) 141.162 81.5000i 0.233712 0.134934i
\(605\) −9.15996 379.920i −0.0151404 0.627967i
\(606\) 394.509 327.141i 0.651006 0.539837i
\(607\) −294.444 78.8960i −0.485081 0.129977i 0.00798677 0.999968i \(-0.497458\pi\)
−0.493067 + 0.869991i \(0.664124\pi\)
\(608\) −111.886 + 111.886i −0.184022 + 0.184022i
\(609\) −72.8185 63.0548i −0.119571 0.103538i
\(610\) −736.255 178.375i −1.20698 0.292418i
\(611\) 160.295 92.5461i 0.262348 0.151467i
\(612\) −147.324 70.7963i −0.240726 0.115680i
\(613\) 67.8715 + 253.300i 0.110720 + 0.413214i 0.998931 0.0462222i \(-0.0147182\pi\)
−0.888211 + 0.459436i \(0.848052\pi\)
\(614\) 136.621 78.8782i 0.222510 0.128466i
\(615\) 663.090 + 446.454i 1.07820 + 0.725941i
\(616\) −97.5785 + 260.201i −0.158407 + 0.422405i
\(617\) −43.4324 + 43.4324i −0.0703929 + 0.0703929i −0.741427 0.671034i \(-0.765851\pi\)
0.671034 + 0.741427i \(0.265851\pi\)
\(618\) −315.256 + 444.704i −0.510122 + 0.719586i
\(619\) 194.486 336.859i 0.314194 0.544199i −0.665072 0.746779i \(-0.731599\pi\)
0.979266 + 0.202580i \(0.0649326\pi\)
\(620\) 8.74217 + 362.592i 0.0141003 + 0.584826i
\(621\) −458.091 + 762.399i −0.737667 + 1.22770i
\(622\) −321.256 + 321.256i −0.516489 + 0.516489i
\(623\) −739.437 71.9371i −1.18690 0.115469i
\(624\) 43.2047 116.590i 0.0692384 0.186842i
\(625\) −258.939 + 568.837i −0.414303 + 0.910139i
\(626\) −301.487 + 522.190i −0.481608 + 0.834169i
\(627\) 109.476 1172.71i 0.174603 1.87035i
\(628\) −31.3606 + 117.039i −0.0499373 + 0.186369i
\(629\) 344.329i 0.547424i
\(630\) −1.22867 445.476i −0.00195027 0.707104i
\(631\) −989.008 −1.56737 −0.783683 0.621160i \(-0.786662\pi\)
−0.783683 + 0.621160i \(0.786662\pi\)
\(632\) 148.036 + 39.6661i 0.234234 + 0.0627629i
\(633\) 406.839 + 37.9795i 0.642715 + 0.0599992i
\(634\) 116.441 + 67.2273i 0.183661 + 0.106037i
\(635\) 156.541 + 532.529i 0.246522 + 0.838628i
\(636\) 459.957 + 170.447i 0.723202 + 0.267998i
\(637\) −223.467 + 455.887i −0.350812 + 0.715678i
\(638\) 64.3810 + 64.3810i 0.100911 + 0.100911i
\(639\) 53.2729 282.845i 0.0833692 0.442637i
\(640\) 39.0242 40.9525i 0.0609754 0.0639883i
\(641\) 586.991 + 338.899i 0.915743 + 0.528704i 0.882274 0.470736i \(-0.156011\pi\)
0.0334683 + 0.999440i \(0.489345\pi\)
\(642\) 337.088 + 238.965i 0.525058 + 0.372220i
\(643\) 451.858 + 451.858i 0.702734 + 0.702734i 0.964996 0.262263i \(-0.0844688\pi\)
−0.262263 + 0.964996i \(0.584469\pi\)
\(644\) 454.940 75.6689i 0.706429 0.117498i
\(645\) 345.914 67.5390i 0.536301 0.104712i
\(646\) −179.604 311.084i −0.278025 0.481554i
\(647\) 105.031 28.1430i 0.162336 0.0434977i −0.176736 0.984258i \(-0.556554\pi\)
0.339071 + 0.940761i \(0.389887\pi\)
\(648\) 91.9664 + 209.834i 0.141923 + 0.323817i
\(649\) −65.4204 113.312i −0.100802 0.174594i
\(650\) −167.664 + 325.712i −0.257945 + 0.501095i
\(651\) 249.357 + 719.690i 0.383038 + 1.10551i
\(652\) 256.644 + 256.644i 0.393626 + 0.393626i
\(653\) 232.790 868.783i 0.356493 1.33045i −0.522103 0.852882i \(-0.674852\pi\)
0.878596 0.477566i \(-0.158481\pi\)
\(654\) −9.20339 11.0986i −0.0140725 0.0169704i
\(655\) 0.858892 + 35.6236i 0.00131129 + 0.0543871i
\(656\) 106.584 + 184.609i 0.162476 + 0.281416i
\(657\) −593.474 + 44.9724i −0.903308 + 0.0684511i
\(658\) 160.990 73.1754i 0.244666 0.111209i
\(659\) −326.028 −0.494732 −0.247366 0.968922i \(-0.579565\pi\)
−0.247366 + 0.968922i \(0.579565\pi\)
\(660\) −29.0217 + 420.075i −0.0439723 + 0.636478i
\(661\) −21.0467 12.1513i −0.0318407 0.0183832i 0.483995 0.875071i \(-0.339185\pi\)
−0.515836 + 0.856687i \(0.672519\pi\)
\(662\) −222.552 830.576i −0.336182 1.25465i
\(663\) 230.274 + 163.243i 0.347321 + 0.246219i
\(664\) 151.622 0.228346
\(665\) 549.933 809.947i 0.826966 1.21797i
\(666\) −314.508 + 366.082i −0.472234 + 0.549673i
\(667\) 39.1081 145.953i 0.0586328 0.218820i
\(668\) 29.2656 + 109.221i 0.0438107 + 0.163504i
\(669\) 687.582 + 829.175i 1.02778 + 1.23942i
\(670\) 581.650 + 317.374i 0.868135 + 0.473693i
\(671\) 1503.73 2.24102
\(672\) 51.8705 106.871i 0.0771882 0.159035i
\(673\) −534.423 + 534.423i −0.794091 + 0.794091i −0.982156 0.188066i \(-0.939778\pi\)
0.188066 + 0.982156i \(0.439778\pi\)
\(674\) 153.881 + 266.530i 0.228310 + 0.395445i
\(675\) −194.674 646.318i −0.288406 0.957508i
\(676\) 61.6404 106.764i 0.0911841 0.157935i
\(677\) 332.972 1242.67i 0.491835 1.83555i −0.0552479 0.998473i \(-0.517595\pi\)
0.547082 0.837079i \(-0.315738\pi\)
\(678\) −74.5036 162.230i −0.109887 0.239278i
\(679\) 582.241 96.8424i 0.857497 0.142625i
\(680\) 66.8720 + 109.635i 0.0983411 + 0.161228i
\(681\) 55.4794 9.45013i 0.0814676 0.0138768i
\(682\) −186.335 695.413i −0.273219 1.01967i
\(683\) 59.6482 15.9827i 0.0873326 0.0234007i −0.214888 0.976639i \(-0.568939\pi\)
0.302221 + 0.953238i \(0.402272\pi\)
\(684\) −93.1913 + 494.786i −0.136245 + 0.723371i
\(685\) −157.188 + 648.804i −0.229472 + 0.947160i
\(686\) −254.676 + 412.842i −0.371248 + 0.601810i
\(687\) 391.905 + 853.366i 0.570458 + 1.24216i
\(688\) 90.7831 + 24.3253i 0.131952 + 0.0353565i
\(689\) −733.599 423.543i −1.06473 0.614722i
\(690\) 627.829 306.862i 0.909897 0.444728i
\(691\) −567.484 + 327.637i −0.821250 + 0.474149i −0.850847 0.525413i \(-0.823911\pi\)
0.0295974 + 0.999562i \(0.490577\pi\)
\(692\) 16.5108 + 16.5108i 0.0238595 + 0.0238595i
\(693\) 210.579 + 858.821i 0.303866 + 1.23928i
\(694\) 116.329i 0.167621i
\(695\) −776.784 423.848i −1.11767 0.609853i
\(696\) −24.8441 29.9602i −0.0356956 0.0430463i
\(697\) −467.438 + 125.250i −0.670642 + 0.179698i
\(698\) 381.842 + 102.314i 0.547051 + 0.146582i
\(699\) −234.924 + 633.951i −0.336086 + 0.906940i
\(700\) −189.569 + 294.217i −0.270812 + 0.420310i
\(701\) 637.912i 0.910003i −0.890491 0.455001i \(-0.849639\pi\)
0.890491 0.455001i \(-0.150361\pi\)
\(702\) −95.7153 383.886i −0.136347 0.546847i
\(703\) −1024.51 + 274.516i −1.45734 + 0.390492i
\(704\) −56.1435 + 97.2435i −0.0797493 + 0.138130i
\(705\) 202.080 175.962i 0.286638 0.249592i
\(706\) 424.474i 0.601238i
\(707\) −769.797 + 349.899i −1.08882 + 0.494906i
\(708\) 23.3424 + 50.8276i 0.0329694 + 0.0717904i
\(709\) −166.213 + 95.9630i −0.234433 + 0.135350i −0.612615 0.790381i \(-0.709882\pi\)
0.378183 + 0.925731i \(0.376549\pi\)
\(710\) −155.999 + 163.707i −0.219716 + 0.230573i
\(711\) 460.164 161.449i 0.647207 0.227073i
\(712\) −289.960 77.6945i −0.407247 0.109121i
\(713\) −844.853 + 844.853i −1.18493 + 1.18493i
\(714\) 203.871 + 176.536i 0.285534 + 0.247249i
\(715\) 171.219 706.715i 0.239467 0.988413i
\(716\) 135.528 78.2474i 0.189286 0.109284i
\(717\) 1042.81 + 97.3493i 1.45441 + 0.135773i
\(718\) 38.1650 + 142.434i 0.0531546 + 0.198376i
\(719\) 935.091 539.875i 1.30054 0.750870i 0.320047 0.947402i \(-0.396301\pi\)
0.980497 + 0.196532i \(0.0629679\pi\)
\(720\) 29.0433 177.641i 0.0403379 0.246724i
\(721\) 694.556 571.396i 0.963323 0.792505i
\(722\) −421.400 + 421.400i −0.583657 + 0.583657i
\(723\) 479.679 + 340.050i 0.663456 + 0.470332i
\(724\) −94.0811 + 162.953i −0.129946 + 0.225074i
\(725\) 62.0554 + 96.4305i 0.0855937 + 0.133008i
\(726\) −54.1477 317.888i −0.0745836 0.437862i
\(727\) 838.098 838.098i 1.15282 1.15282i 0.166831 0.985985i \(-0.446646\pi\)
0.985985 0.166831i \(-0.0533535\pi\)
\(728\) −119.294 + 166.895i −0.163865 + 0.229251i
\(729\) 618.230 + 386.306i 0.848052 + 0.529912i
\(730\) 410.483 + 223.978i 0.562306 + 0.306819i
\(731\) −106.681 + 184.778i −0.145939 + 0.252774i
\(732\) −640.024 59.7479i −0.874349 0.0816228i
\(733\) −162.576 + 606.740i −0.221795 + 0.827749i 0.761869 + 0.647732i \(0.224282\pi\)
−0.983663 + 0.180018i \(0.942385\pi\)
\(734\) 217.882i 0.296842i
\(735\) −191.041 + 709.738i −0.259920 + 0.965630i
\(736\) 186.349 0.253191
\(737\) −1270.43 340.412i −1.72379 0.461889i
\(738\) 611.370 + 293.792i 0.828414 + 0.398093i
\(739\) 601.795 + 347.447i 0.814337 + 0.470158i 0.848460 0.529260i \(-0.177530\pi\)
−0.0341227 + 0.999418i \(0.510864\pi\)
\(740\) 363.797 106.941i 0.491618 0.144515i
\(741\) 302.124 815.294i 0.407725 1.10026i
\(742\) −658.416 470.626i −0.887353 0.634266i
\(743\) −715.171 715.171i −0.962545 0.962545i 0.0367782 0.999323i \(-0.488291\pi\)
−0.999323 + 0.0367782i \(0.988291\pi\)
\(744\) 51.6780 + 303.389i 0.0694597 + 0.407781i
\(745\) −6.45443 267.705i −0.00866366 0.359336i
\(746\) −23.9102 13.8046i −0.0320512 0.0185048i
\(747\) 398.398 272.110i 0.533331 0.364270i
\(748\) −180.249 180.249i −0.240974 0.240974i
\(749\) −433.121 526.477i −0.578266 0.702906i
\(750\) −147.867 + 509.299i −0.197156 + 0.679065i
\(751\) 551.076 + 954.492i 0.733790 + 1.27096i 0.955252 + 0.295793i \(0.0955837\pi\)
−0.221462 + 0.975169i \(0.571083\pi\)
\(752\) 69.0195 18.4937i 0.0917812 0.0245927i
\(753\) 973.062 + 90.8379i 1.29225 + 0.120635i
\(754\) 33.6065 + 58.2082i 0.0445710 + 0.0771992i
\(755\) −347.892 + 212.197i −0.460784 + 0.281055i
\(756\) −55.5041 373.903i −0.0734181 0.494580i
\(757\) 125.274 + 125.274i 0.165487 + 0.165487i 0.784993 0.619505i \(-0.212667\pi\)
−0.619505 + 0.784993i \(0.712667\pi\)
\(758\) −26.1494 + 97.5908i −0.0344979 + 0.128748i
\(759\) −1067.76 + 885.426i −1.40680 + 1.16657i
\(760\) 272.891