Properties

Label 648.2.bb.b.155.31
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.31
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.31

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.849438 - 1.13069i) q^{2} +(0.956229 + 1.44417i) q^{3} +(-0.556910 + 1.92090i) q^{4} +(1.24556 - 0.819217i) q^{5} +(0.820648 - 2.30793i) q^{6} +(1.85241 + 1.74766i) q^{7} +(2.64500 - 1.00199i) q^{8} +(-1.17125 + 2.76191i) q^{9} +O(q^{10})\) \(q+(-0.849438 - 1.13069i) q^{2} +(0.956229 + 1.44417i) q^{3} +(-0.556910 + 1.92090i) q^{4} +(1.24556 - 0.819217i) q^{5} +(0.820648 - 2.30793i) q^{6} +(1.85241 + 1.74766i) q^{7} +(2.64500 - 1.00199i) q^{8} +(-1.17125 + 2.76191i) q^{9} +(-1.98430 - 0.712465i) q^{10} +(-0.248670 - 0.495144i) q^{11} +(-3.30664 + 1.03255i) q^{12} +(2.59398 - 1.11893i) q^{13} +(0.402550 - 3.57903i) q^{14} +(2.37413 + 1.01544i) q^{15} +(-3.37970 - 2.13954i) q^{16} +(-2.14789 - 2.55976i) q^{17} +(4.11777 - 1.02175i) q^{18} +(6.16382 + 5.17206i) q^{19} +(0.879969 + 2.84882i) q^{20} +(-0.752589 + 4.34636i) q^{21} +(-0.348623 + 0.701762i) q^{22} +(-1.36541 - 1.44725i) q^{23} +(3.97627 + 2.86169i) q^{24} +(-1.10010 + 2.55031i) q^{25} +(-3.46859 - 1.98252i) q^{26} +(-5.10866 + 0.949535i) q^{27} +(-4.38871 + 2.58501i) q^{28} +(-1.03535 + 0.121015i) q^{29} +(-0.868530 - 3.54695i) q^{30} +(-1.01091 - 4.26535i) q^{31} +(0.451700 + 5.63879i) q^{32} +(0.477285 - 0.832593i) q^{33} +(-1.06979 + 4.60296i) q^{34} +(3.73901 + 0.659288i) q^{35} +(-4.65307 - 3.78799i) q^{36} +(-5.17617 + 0.912699i) q^{37} +(0.612202 - 11.3627i) q^{38} +(4.09637 + 2.67619i) q^{39} +(2.47365 - 3.41487i) q^{40} +(7.75568 + 5.77389i) q^{41} +(5.55366 - 2.84102i) q^{42} +(-0.429357 + 7.37178i) q^{43} +(1.08961 - 0.201920i) q^{44} +(0.803744 + 4.39964i) q^{45} +(-0.476557 + 2.77320i) q^{46} +(12.2789 + 2.91014i) q^{47} +(-0.141916 - 6.92675i) q^{48} +(-0.0299005 - 0.513371i) q^{49} +(3.81807 - 0.922465i) q^{50} +(1.64285 - 5.54964i) q^{51} +(0.704744 + 5.60592i) q^{52} +(-2.74273 - 4.75054i) q^{53} +(5.41312 + 4.96973i) q^{54} +(-0.715364 - 0.413016i) q^{55} +(6.65077 + 2.76646i) q^{56} +(-1.57531 + 13.8473i) q^{57} +(1.01629 + 1.06786i) q^{58} +(2.23736 - 4.45496i) q^{59} +(-3.27273 + 3.99495i) q^{60} +(-8.49960 + 2.54461i) q^{61} +(-3.96408 + 4.76617i) q^{62} +(-6.99654 + 3.06925i) q^{63} +(5.99202 - 5.30053i) q^{64} +(2.31431 - 3.51873i) q^{65} +(-1.34683 + 0.167575i) q^{66} +(-1.92689 - 0.225221i) q^{67} +(6.11323 - 2.70033i) q^{68} +(0.784430 - 3.35579i) q^{69} +(-2.43061 - 4.78767i) q^{70} +(-0.0766392 - 0.0278944i) q^{71} +(-0.330542 + 8.47884i) q^{72} +(6.28480 - 2.28748i) q^{73} +(5.42881 + 5.07735i) q^{74} +(-4.73503 + 0.849955i) q^{75} +(-13.3677 + 8.95970i) q^{76} +(0.404703 - 1.35180i) q^{77} +(-0.453676 - 6.90497i) q^{78} +(8.48699 - 6.31833i) q^{79} +(-5.96237 + 0.103791i) q^{80} +(-6.25634 - 6.46979i) q^{81} +(-0.0595017 - 13.6738i) q^{82} +(-2.15785 + 1.60646i) q^{83} +(-7.92980 - 3.86618i) q^{84} +(-4.77233 - 1.42874i) q^{85} +(8.69989 - 5.77640i) q^{86} +(-1.16479 - 1.37950i) q^{87} +(-1.15386 - 1.06049i) q^{88} +(-0.953016 - 2.61839i) q^{89} +(4.29189 - 4.64600i) q^{90} +(6.76064 + 2.46067i) q^{91} +(3.54043 - 1.81683i) q^{92} +(5.19323 - 5.53857i) q^{93} +(-7.13967 - 16.3556i) q^{94} +(11.9144 + 1.39260i) q^{95} +(-7.71144 + 6.04431i) q^{96} +(7.37470 + 4.85042i) q^{97} +(-0.555064 + 0.469885i) q^{98} +(1.65880 - 0.106868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.849438 1.13069i −0.600643 0.799517i
\(3\) 0.956229 + 1.44417i 0.552079 + 0.833792i
\(4\) −0.556910 + 1.92090i −0.278455 + 0.960449i
\(5\) 1.24556 0.819217i 0.557031 0.366365i −0.239562 0.970881i \(-0.577004\pi\)
0.796593 + 0.604516i \(0.206633\pi\)
\(6\) 0.820648 2.30793i 0.335028 0.942208i
\(7\) 1.85241 + 1.74766i 0.700147 + 0.660554i 0.951608 0.307313i \(-0.0994299\pi\)
−0.251462 + 0.967867i \(0.580911\pi\)
\(8\) 2.64500 1.00199i 0.935148 0.354258i
\(9\) −1.17125 + 2.76191i −0.390417 + 0.920638i
\(10\) −1.98430 0.712465i −0.627492 0.225301i
\(11\) −0.248670 0.495144i −0.0749770 0.149291i 0.853021 0.521876i \(-0.174768\pi\)
−0.927998 + 0.372585i \(0.878471\pi\)
\(12\) −3.30664 + 1.03255i −0.954544 + 0.298070i
\(13\) 2.59398 1.11893i 0.719441 0.310336i −0.00469972 0.999989i \(-0.501496\pi\)
0.724140 + 0.689653i \(0.242237\pi\)
\(14\) 0.402550 3.57903i 0.107586 0.956537i
\(15\) 2.37413 + 1.01544i 0.612998 + 0.262185i
\(16\) −3.37970 2.13954i −0.844925 0.534884i
\(17\) −2.14789 2.55976i −0.520941 0.620833i 0.439862 0.898065i \(-0.355027\pi\)
−0.960803 + 0.277232i \(0.910583\pi\)
\(18\) 4.11777 1.02175i 0.970567 0.240830i
\(19\) 6.16382 + 5.17206i 1.41408 + 1.18655i 0.954424 + 0.298453i \(0.0964708\pi\)
0.459653 + 0.888098i \(0.347974\pi\)
\(20\) 0.879969 + 2.84882i 0.196767 + 0.637016i
\(21\) −0.752589 + 4.34636i −0.164228 + 0.948455i
\(22\) −0.348623 + 0.701762i −0.0743266 + 0.149616i
\(23\) −1.36541 1.44725i −0.284708 0.301772i 0.569198 0.822201i \(-0.307254\pi\)
−0.853905 + 0.520428i \(0.825772\pi\)
\(24\) 3.97627 + 2.86169i 0.811653 + 0.584140i
\(25\) −1.10010 + 2.55031i −0.220019 + 0.510062i
\(26\) −3.46859 1.98252i −0.680247 0.388804i
\(27\) −5.10866 + 0.949535i −0.983162 + 0.182738i
\(28\) −4.38871 + 2.58501i −0.829388 + 0.488520i
\(29\) −1.03535 + 0.121015i −0.192259 + 0.0224719i −0.211677 0.977340i \(-0.567893\pi\)
0.0194184 + 0.999811i \(0.493819\pi\)
\(30\) −0.868530 3.54695i −0.158571 0.647582i
\(31\) −1.01091 4.26535i −0.181564 0.766079i −0.985263 0.171044i \(-0.945286\pi\)
0.803699 0.595036i \(-0.202862\pi\)
\(32\) 0.451700 + 5.63879i 0.0798500 + 0.996807i
\(33\) 0.477285 0.832593i 0.0830847 0.144936i
\(34\) −1.06979 + 4.60296i −0.183467 + 0.789401i
\(35\) 3.73901 + 0.659288i 0.632008 + 0.111440i
\(36\) −4.65307 3.78799i −0.775512 0.631332i
\(37\) −5.17617 + 0.912699i −0.850957 + 0.150047i −0.582084 0.813129i \(-0.697762\pi\)
−0.268874 + 0.963175i \(0.586651\pi\)
\(38\) 0.612202 11.3627i 0.0993123 1.84327i
\(39\) 4.09637 + 2.67619i 0.655944 + 0.428533i
\(40\) 2.47365 3.41487i 0.391119 0.539938i
\(41\) 7.75568 + 5.77389i 1.21123 + 0.901730i 0.997177 0.0750918i \(-0.0239250\pi\)
0.214056 + 0.976821i \(0.431332\pi\)
\(42\) 5.55366 2.84102i 0.856948 0.438380i
\(43\) −0.429357 + 7.37178i −0.0654764 + 1.12419i 0.792290 + 0.610145i \(0.208889\pi\)
−0.857766 + 0.514040i \(0.828148\pi\)
\(44\) 1.08961 0.201920i 0.164265 0.0304406i
\(45\) 0.803744 + 4.39964i 0.119815 + 0.655859i
\(46\) −0.476557 + 2.77320i −0.0702645 + 0.408886i
\(47\) 12.2789 + 2.91014i 1.79106 + 0.424488i 0.985729 0.168341i \(-0.0538411\pi\)
0.805328 + 0.592830i \(0.201989\pi\)
\(48\) −0.141916 6.92675i −0.0204838 0.999790i
\(49\) −0.0299005 0.513371i −0.00427150 0.0733388i
\(50\) 3.81807 0.922465i 0.539957 0.130456i
\(51\) 1.64285 5.54964i 0.230045 0.777105i
\(52\) 0.704744 + 5.60592i 0.0977304 + 0.777401i
\(53\) −2.74273 4.75054i −0.376743 0.652537i 0.613844 0.789428i \(-0.289623\pi\)
−0.990586 + 0.136890i \(0.956289\pi\)
\(54\) 5.41312 + 4.96973i 0.736632 + 0.676294i
\(55\) −0.715364 0.413016i −0.0964597 0.0556910i
\(56\) 6.65077 + 2.76646i 0.888747 + 0.369683i
\(57\) −1.57531 + 13.8473i −0.208655 + 1.83412i
\(58\) 1.01629 + 1.06786i 0.133446 + 0.140217i
\(59\) 2.23736 4.45496i 0.291280 0.579986i −0.699631 0.714504i \(-0.746652\pi\)
0.990911 + 0.134518i \(0.0429486\pi\)
\(60\) −3.27273 + 3.99495i −0.422508 + 0.515746i
\(61\) −8.49960 + 2.54461i −1.08826 + 0.325804i −0.780180 0.625555i \(-0.784873\pi\)
−0.308083 + 0.951360i \(0.599687\pi\)
\(62\) −3.96408 + 4.76617i −0.503438 + 0.605304i
\(63\) −6.99654 + 3.06925i −0.881481 + 0.386690i
\(64\) 5.99202 5.30053i 0.749003 0.662567i
\(65\) 2.31431 3.51873i 0.287054 0.436445i
\(66\) −1.34683 + 0.167575i −0.165783 + 0.0206271i
\(67\) −1.92689 0.225221i −0.235407 0.0275151i −0.00242855 0.999997i \(-0.500773\pi\)
−0.232978 + 0.972482i \(0.574847\pi\)
\(68\) 6.11323 2.70033i 0.741338 0.327463i
\(69\) 0.784430 3.35579i 0.0944343 0.403989i
\(70\) −2.43061 4.78767i −0.290513 0.572236i
\(71\) −0.0766392 0.0278944i −0.00909540 0.00331046i 0.337468 0.941337i \(-0.390429\pi\)
−0.346564 + 0.938026i \(0.612652\pi\)
\(72\) −0.330542 + 8.47884i −0.0389547 + 0.999241i
\(73\) 6.28480 2.28748i 0.735581 0.267729i 0.0530556 0.998592i \(-0.483104\pi\)
0.682525 + 0.730862i \(0.260882\pi\)
\(74\) 5.42881 + 5.07735i 0.631087 + 0.590230i
\(75\) −4.73503 + 0.849955i −0.546754 + 0.0981444i
\(76\) −13.3677 + 8.95970i −1.53338 + 1.02775i
\(77\) 0.404703 1.35180i 0.0461202 0.154052i
\(78\) −0.453676 6.90497i −0.0513686 0.781834i
\(79\) 8.48699 6.31833i 0.954861 0.710868i −0.00242870 0.999997i \(-0.500773\pi\)
0.957290 + 0.289129i \(0.0933657\pi\)
\(80\) −5.96237 + 0.103791i −0.666613 + 0.0116042i
\(81\) −6.25634 6.46979i −0.695149 0.718866i
\(82\) −0.0595017 13.6738i −0.00657086 1.51002i
\(83\) −2.15785 + 1.60646i −0.236855 + 0.176332i −0.709042 0.705167i \(-0.750872\pi\)
0.472187 + 0.881499i \(0.343465\pi\)
\(84\) −7.92980 3.86618i −0.865212 0.421835i
\(85\) −4.77233 1.42874i −0.517632 0.154969i
\(86\) 8.69989 5.77640i 0.938134 0.622885i
\(87\) −1.16479 1.37950i −0.124879 0.147898i
\(88\) −1.15386 1.06049i −0.123002 0.113048i
\(89\) −0.953016 2.61839i −0.101020 0.277549i 0.878879 0.477044i \(-0.158292\pi\)
−0.979899 + 0.199495i \(0.936070\pi\)
\(90\) 4.29189 4.64600i 0.452405 0.489732i
\(91\) 6.76064 + 2.46067i 0.708708 + 0.257949i
\(92\) 3.54043 1.81683i 0.369115 0.189417i
\(93\) 5.19323 5.53857i 0.538513 0.574323i
\(94\) −7.13967 16.3556i −0.736401 1.68695i
\(95\) 11.9144 + 1.39260i 1.22240 + 0.142878i
\(96\) −7.71144 + 6.04431i −0.787046 + 0.616894i
\(97\) 7.37470 + 4.85042i 0.748788 + 0.492485i 0.865642 0.500664i \(-0.166911\pi\)
−0.116854 + 0.993149i \(0.537281\pi\)
\(98\) −0.555064 + 0.469885i −0.0560700 + 0.0474656i
\(99\) 1.65880 0.106868i 0.166716 0.0107407i
\(100\) −4.28624 3.53347i −0.428624 0.353347i
\(101\) −0.644195 2.15176i −0.0640998 0.214108i 0.919939 0.392061i \(-0.128238\pi\)
−0.984039 + 0.177953i \(0.943053\pi\)
\(102\) −7.67041 + 2.85653i −0.759484 + 0.282838i
\(103\) 7.03026 13.9984i 0.692713 1.37930i −0.221939 0.975061i \(-0.571239\pi\)
0.914651 0.404244i \(-0.132465\pi\)
\(104\) 5.73991 5.55873i 0.562844 0.545078i
\(105\) 2.62322 + 6.03019i 0.256000 + 0.588486i
\(106\) −3.04161 + 7.13646i −0.295427 + 0.693154i
\(107\) −7.62481 4.40219i −0.737118 0.425576i 0.0839022 0.996474i \(-0.473262\pi\)
−0.821021 + 0.570898i \(0.806595\pi\)
\(108\) 1.02110 10.3420i 0.0982556 0.995161i
\(109\) −10.8298 + 6.25257i −1.03730 + 0.598887i −0.919068 0.394098i \(-0.871057\pi\)
−0.118235 + 0.992986i \(0.537724\pi\)
\(110\) 0.140666 + 1.15968i 0.0134119 + 0.110572i
\(111\) −6.26770 6.60252i −0.594904 0.626684i
\(112\) −2.52142 9.86988i −0.238252 0.932616i
\(113\) −15.2757 + 0.889709i −1.43702 + 0.0836967i −0.758876 0.651235i \(-0.774251\pi\)
−0.678141 + 0.734932i \(0.737214\pi\)
\(114\) 16.9951 9.98122i 1.59173 0.934827i
\(115\) −2.88631 0.684069i −0.269150 0.0637897i
\(116\) 0.344138 2.05619i 0.0319524 0.190913i
\(117\) 0.0521942 + 8.47490i 0.00482535 + 0.783505i
\(118\) −6.93767 + 1.25445i −0.638664 + 0.115482i
\(119\) 0.494808 8.49553i 0.0453590 0.778784i
\(120\) 7.29703 + 0.306976i 0.666125 + 0.0280230i
\(121\) 6.38541 8.57710i 0.580492 0.779736i
\(122\) 10.0970 + 7.44891i 0.914144 + 0.674392i
\(123\) −0.922270 + 16.7217i −0.0831583 + 1.50774i
\(124\) 8.75629 + 0.433568i 0.786338 + 0.0389356i
\(125\) 2.01341 + 11.4186i 0.180085 + 1.02131i
\(126\) 9.41349 + 5.30376i 0.838620 + 0.472496i
\(127\) −18.8653 3.32646i −1.67402 0.295175i −0.745515 0.666489i \(-0.767796\pi\)
−0.928507 + 0.371314i \(0.878907\pi\)
\(128\) −11.0831 2.27263i −0.979617 0.200874i
\(129\) −11.0567 + 6.42904i −0.973485 + 0.566046i
\(130\) −5.94445 + 0.372186i −0.521363 + 0.0326429i
\(131\) −3.33787 14.0836i −0.291631 1.23049i −0.899666 0.436579i \(-0.856190\pi\)
0.608034 0.793911i \(-0.291958\pi\)
\(132\) 1.33352 + 1.38050i 0.116068 + 0.120157i
\(133\) 2.37893 + 20.3531i 0.206280 + 1.76483i
\(134\) 1.38212 + 2.37002i 0.119397 + 0.204739i
\(135\) −5.58526 + 5.36780i −0.480703 + 0.461987i
\(136\) −8.24604 4.61839i −0.707092 0.396024i
\(137\) −2.05890 0.888123i −0.175904 0.0758774i 0.306307 0.951933i \(-0.400907\pi\)
−0.482210 + 0.876055i \(0.660166\pi\)
\(138\) −4.46067 + 1.96359i −0.379718 + 0.167152i
\(139\) 1.42721 + 1.51275i 0.121054 + 0.128310i 0.785066 0.619412i \(-0.212629\pi\)
−0.664012 + 0.747722i \(0.731148\pi\)
\(140\) −3.34872 + 6.81509i −0.283018 + 0.575980i
\(141\) 7.53867 + 20.5155i 0.634870 + 1.72772i
\(142\) 0.0335604 + 0.110350i 0.00281633 + 0.00926034i
\(143\) −1.19908 1.00615i −0.100272 0.0841382i
\(144\) 9.86770 6.82851i 0.822308 0.569042i
\(145\) −1.19045 + 0.998905i −0.0988614 + 0.0829546i
\(146\) −7.92498 5.16308i −0.655876 0.427299i
\(147\) 0.712804 0.534082i 0.0587911 0.0440503i
\(148\) 1.12946 10.4512i 0.0928412 0.859083i
\(149\) −3.49554 8.10357i −0.286366 0.663871i 0.712936 0.701229i \(-0.247365\pi\)
−0.999302 + 0.0373584i \(0.988106\pi\)
\(150\) 4.98315 + 4.63185i 0.406872 + 0.378189i
\(151\) −3.43348 6.83663i −0.279413 0.556357i 0.709526 0.704679i \(-0.248909\pi\)
−0.988939 + 0.148322i \(0.952613\pi\)
\(152\) 21.4857 + 7.50398i 1.74272 + 0.608653i
\(153\) 9.58557 2.93417i 0.774947 0.237214i
\(154\) −1.87224 + 0.690679i −0.150869 + 0.0556565i
\(155\) −4.75339 4.48459i −0.381802 0.360211i
\(156\) −7.42200 + 6.37831i −0.594236 + 0.510674i
\(157\) −2.19409 3.33595i −0.175107 0.266238i 0.737261 0.675608i \(-0.236119\pi\)
−0.912368 + 0.409370i \(0.865748\pi\)
\(158\) −14.3532 4.22911i −1.14188 0.336450i
\(159\) 4.23792 8.50357i 0.336089 0.674377i
\(160\) 5.18202 + 6.65341i 0.409674 + 0.525998i
\(161\) 5.06718i 0.399350i
\(162\) −2.00095 + 12.5697i −0.157209 + 0.987565i
\(163\) 3.77998 0.296071 0.148035 0.988982i \(-0.452705\pi\)
0.148035 + 0.988982i \(0.452705\pi\)
\(164\) −15.4103 + 11.6823i −1.20334 + 0.912237i
\(165\) −0.0875872 1.42804i −0.00681866 0.111173i
\(166\) 3.64937 + 1.07527i 0.283246 + 0.0834570i
\(167\) 9.83392 6.46787i 0.760972 0.500499i −0.108733 0.994071i \(-0.534679\pi\)
0.869705 + 0.493572i \(0.164309\pi\)
\(168\) 2.36443 + 12.2502i 0.182420 + 0.945124i
\(169\) −3.44442 + 3.65087i −0.264955 + 0.280836i
\(170\) 2.43834 + 6.60965i 0.187012 + 0.506937i
\(171\) −21.5042 + 10.9662i −1.64447 + 0.838603i
\(172\) −13.9213 4.93017i −1.06149 0.375922i
\(173\) −10.0930 + 5.06890i −0.767358 + 0.385381i −0.789007 0.614384i \(-0.789405\pi\)
0.0216495 + 0.999766i \(0.493108\pi\)
\(174\) −0.570362 + 2.48882i −0.0432390 + 0.188677i
\(175\) −6.49492 + 2.80163i −0.490970 + 0.211784i
\(176\) −0.218946 + 2.20548i −0.0165036 + 0.166244i
\(177\) 8.57315 1.02883i 0.644397 0.0773314i
\(178\) −2.15105 + 3.30172i −0.161228 + 0.247475i
\(179\) 8.95944 + 10.6774i 0.669660 + 0.798070i 0.988738 0.149659i \(-0.0478175\pi\)
−0.319078 + 0.947729i \(0.603373\pi\)
\(180\) −8.89887 0.906294i −0.663283 0.0675511i
\(181\) −15.9011 + 18.9502i −1.18192 + 1.40856i −0.289609 + 0.957145i \(0.593525\pi\)
−0.892314 + 0.451416i \(0.850919\pi\)
\(182\) −2.96049 9.73437i −0.219446 0.721559i
\(183\) −11.8024 9.84163i −0.872460 0.727515i
\(184\) −5.06164 2.45984i −0.373149 0.181342i
\(185\) −5.69953 + 5.37723i −0.419038 + 0.395342i
\(186\) −10.6737 1.16725i −0.782635 0.0855869i
\(187\) −0.733331 + 1.70005i −0.0536265 + 0.124320i
\(188\) −12.4283 + 21.9658i −0.906428 + 1.60202i
\(189\) −11.1228 7.16927i −0.809066 0.521488i
\(190\) −8.54599 14.6544i −0.619991 1.06315i
\(191\) −23.2791 + 2.72094i −1.68442 + 0.196880i −0.903748 0.428065i \(-0.859195\pi\)
−0.780669 + 0.624945i \(0.785121\pi\)
\(192\) 13.3846 + 3.58497i 0.965952 + 0.258723i
\(193\) 1.45647 0.345191i 0.104839 0.0248474i −0.177861 0.984056i \(-0.556918\pi\)
0.282701 + 0.959208i \(0.408770\pi\)
\(194\) −0.780043 12.4586i −0.0560038 0.894477i
\(195\) 7.29466 0.0224625i 0.522381 0.00160857i
\(196\) 1.00279 + 0.228466i 0.0716276 + 0.0163190i
\(197\) 3.43435 19.4772i 0.244687 1.38769i −0.576530 0.817076i \(-0.695594\pi\)
0.821218 0.570615i \(-0.193295\pi\)
\(198\) −1.52988 1.78481i −0.108724 0.126841i
\(199\) 15.5009 2.73323i 1.09883 0.193753i 0.405301 0.914183i \(-0.367167\pi\)
0.693528 + 0.720430i \(0.256056\pi\)
\(200\) −0.354361 + 7.84786i −0.0250571 + 0.554927i
\(201\) −1.51729 2.99812i −0.107021 0.211471i
\(202\) −1.88577 + 2.55617i −0.132682 + 0.179851i
\(203\) −2.12938 1.58527i −0.149453 0.111264i
\(204\) 9.74538 + 6.24640i 0.682313 + 0.437336i
\(205\) 14.3902 + 0.838135i 1.00506 + 0.0585379i
\(206\) −21.7996 + 3.94174i −1.51885 + 0.274634i
\(207\) 5.59642 2.07605i 0.388978 0.144295i
\(208\) −11.1609 1.76825i −0.773868 0.122606i
\(209\) 1.02815 4.33811i 0.0711188 0.300074i
\(210\) 4.59000 8.08832i 0.316740 0.558147i
\(211\) −0.864970 14.8510i −0.0595470 1.02238i −0.887272 0.461247i \(-0.847402\pi\)
0.827725 0.561135i \(-0.189635\pi\)
\(212\) 10.6528 2.62287i 0.731635 0.180140i
\(213\) −0.0330004 0.137354i −0.00226115 0.00941131i
\(214\) 1.49931 + 12.3607i 0.102490 + 0.844958i
\(215\) 5.50430 + 9.53373i 0.375390 + 0.650195i
\(216\) −12.5610 + 7.63036i −0.854665 + 0.519180i
\(217\) 5.58177 9.66791i 0.378915 0.656301i
\(218\) 16.2689 + 6.93392i 1.10187 + 0.469624i
\(219\) 9.31322 + 6.88897i 0.629329 + 0.465513i
\(220\) 1.19175 1.14413i 0.0803481 0.0771372i
\(221\) −8.43580 4.23662i −0.567453 0.284986i
\(222\) −2.14137 + 12.6952i −0.143719 + 0.852049i
\(223\) −11.4274 + 3.42112i −0.765232 + 0.229095i −0.645551 0.763717i \(-0.723372\pi\)
−0.119681 + 0.992812i \(0.538187\pi\)
\(224\) −9.01797 + 11.2348i −0.602538 + 0.750656i
\(225\) −5.75525 6.02543i −0.383683 0.401695i
\(226\) 13.9817 + 16.5163i 0.930052 + 1.09865i
\(227\) −0.266753 + 0.405578i −0.0177050 + 0.0269191i −0.844232 0.535978i \(-0.819943\pi\)
0.826527 + 0.562897i \(0.190313\pi\)
\(228\) −25.7219 10.7377i −1.70348 0.711121i
\(229\) 1.55462 13.3006i 0.102732 0.878930i −0.839360 0.543576i \(-0.817070\pi\)
0.942092 0.335354i \(-0.108856\pi\)
\(230\) 1.67828 + 3.84459i 0.110662 + 0.253505i
\(231\) 2.33922 0.708173i 0.153909 0.0465944i
\(232\) −2.61723 + 1.35749i −0.171830 + 0.0891238i
\(233\) 7.64843 21.0139i 0.501065 1.37667i −0.389171 0.921166i \(-0.627238\pi\)
0.890236 0.455500i \(-0.150539\pi\)
\(234\) 9.53814 7.25792i 0.623527 0.474465i
\(235\) 17.6781 6.43430i 1.15319 0.419728i
\(236\) 7.31151 + 6.77876i 0.475939 + 0.441260i
\(237\) 17.2403 + 6.21489i 1.11987 + 0.403700i
\(238\) −10.0261 + 6.65695i −0.649896 + 0.431506i
\(239\) −0.298004 + 0.995402i −0.0192763 + 0.0643872i −0.967087 0.254448i \(-0.918106\pi\)
0.947810 + 0.318835i \(0.103292\pi\)
\(240\) −5.85128 8.51142i −0.377698 0.549410i
\(241\) 8.95193 + 12.0245i 0.576644 + 0.774568i 0.990756 0.135658i \(-0.0433150\pi\)
−0.414111 + 0.910226i \(0.635908\pi\)
\(242\) −15.1220 + 0.0658037i −0.972081 + 0.00423002i
\(243\) 3.36099 15.2218i 0.215608 0.976480i
\(244\) −0.154429 17.7440i −0.00988632 1.13594i
\(245\) −0.457806 0.614940i −0.0292481 0.0392871i
\(246\) 19.6904 13.1612i 1.25541 0.839129i
\(247\) 21.7760 + 6.51931i 1.38558 + 0.414814i
\(248\) −6.94769 10.2689i −0.441179 0.652077i
\(249\) −4.38340 1.58016i −0.277787 0.100139i
\(250\) 11.2006 11.9760i 0.708390 0.757426i
\(251\) 2.21706 + 6.09133i 0.139940 + 0.384482i 0.989788 0.142546i \(-0.0455288\pi\)
−0.849848 + 0.527027i \(0.823307\pi\)
\(252\) −1.99928 15.1489i −0.125943 0.954293i
\(253\) −0.377059 + 1.03596i −0.0237055 + 0.0651304i
\(254\) 12.2637 + 24.1563i 0.769493 + 1.51570i
\(255\) −2.50010 8.25826i −0.156562 0.517153i
\(256\) 6.84477 + 14.4620i 0.427798 + 0.903874i
\(257\) 2.29377 19.6244i 0.143081 1.22414i −0.710696 0.703499i \(-0.751620\pi\)
0.853777 0.520639i \(-0.174306\pi\)
\(258\) 16.6612 + 7.04056i 1.03728 + 0.438326i
\(259\) −11.1835 7.35550i −0.694909 0.457049i
\(260\) 5.47027 + 6.40517i 0.339252 + 0.397232i
\(261\) 0.878420 3.00128i 0.0543728 0.185774i
\(262\) −13.0888 + 15.7372i −0.808631 + 0.972250i
\(263\) −4.42969 14.7962i −0.273146 0.912372i −0.978973 0.203988i \(-0.934610\pi\)
0.705827 0.708384i \(-0.250576\pi\)
\(264\) 0.428167 2.68044i 0.0263518 0.164970i
\(265\) −7.30796 3.67019i −0.448924 0.225458i
\(266\) 20.9922 19.9785i 1.28712 1.22496i
\(267\) 2.87010 3.88010i 0.175647 0.237458i
\(268\) 1.50573 3.57593i 0.0919771 0.218435i
\(269\) −1.98452 + 3.43728i −0.120998 + 0.209575i −0.920162 0.391539i \(-0.871943\pi\)
0.799163 + 0.601114i \(0.205276\pi\)
\(270\) 10.8136 + 1.75557i 0.658097 + 0.106841i
\(271\) 26.0001 15.0112i 1.57940 0.911864i 0.584452 0.811428i \(-0.301310\pi\)
0.994944 0.100436i \(-0.0320237\pi\)
\(272\) 1.78254 + 13.2467i 0.108083 + 0.803201i
\(273\) 2.91109 + 12.1165i 0.176187 + 0.733323i
\(274\) 0.744718 + 3.08238i 0.0449901 + 0.186213i
\(275\) 1.53633 0.0894812i 0.0926443 0.00539592i
\(276\) 6.00927 + 3.37568i 0.361715 + 0.203192i
\(277\) −0.906599 + 3.82524i −0.0544723 + 0.229837i −0.993471 0.114084i \(-0.963607\pi\)
0.938999 + 0.343920i \(0.111755\pi\)
\(278\) 0.498126 2.89872i 0.0298756 0.173853i
\(279\) 12.9646 + 2.20376i 0.776167 + 0.131936i
\(280\) 10.5503 2.00264i 0.630499 0.119681i
\(281\) −26.1740 1.52446i −1.56141 0.0909418i −0.744467 0.667659i \(-0.767296\pi\)
−0.816944 + 0.576717i \(0.804333\pi\)
\(282\) 16.7930 25.9505i 1.00001 1.54533i
\(283\) 15.8889 21.3425i 0.944497 1.26868i −0.0186844 0.999825i \(-0.505948\pi\)
0.963181 0.268854i \(-0.0866448\pi\)
\(284\) 0.0962635 0.131682i 0.00571219 0.00781386i
\(285\) 9.38179 + 18.5381i 0.555729 + 1.09810i
\(286\) −0.119095 + 2.21044i −0.00704222 + 0.130706i
\(287\) 4.27592 + 24.2499i 0.252399 + 1.43143i
\(288\) −16.1029 5.35689i −0.948873 0.315658i
\(289\) 1.01309 5.74553i 0.0595937 0.337973i
\(290\) 2.14066 + 0.497518i 0.125704 + 0.0292153i
\(291\) 0.0470778 + 15.2884i 0.00275975 + 0.896224i
\(292\) 0.893948 + 13.3464i 0.0523144 + 0.781039i
\(293\) −11.8072 + 2.79837i −0.689786 + 0.163482i −0.560536 0.828130i \(-0.689405\pi\)
−0.129250 + 0.991612i \(0.541257\pi\)
\(294\) −1.20936 0.352289i −0.0705315 0.0205459i
\(295\) −0.862809 7.38181i −0.0502347 0.429785i
\(296\) −12.7764 + 7.60057i −0.742616 + 0.441774i
\(297\) 1.74053 + 2.29340i 0.100996 + 0.133076i
\(298\) −6.19337 + 10.8358i −0.358772 + 0.627704i
\(299\) −5.16122 2.22633i −0.298481 0.128752i
\(300\) 1.00431 9.56886i 0.0579837 0.552458i
\(301\) −13.6787 + 12.9052i −0.788429 + 0.743844i
\(302\) −4.81356 + 9.68949i −0.276989 + 0.557567i
\(303\) 2.49151 2.98790i 0.143133 0.171650i
\(304\) −9.76607 30.6677i −0.560122 1.75892i
\(305\) −8.50217 + 10.1325i −0.486833 + 0.580185i
\(306\) −11.4600 8.34589i −0.655124 0.477103i
\(307\) 14.3734 12.0607i 0.820332 0.688340i −0.132718 0.991154i \(-0.542370\pi\)
0.953050 + 0.302814i \(0.0979259\pi\)
\(308\) 2.37129 + 1.53023i 0.135117 + 0.0871927i
\(309\) 26.9386 3.23279i 1.53248 0.183907i
\(310\) −1.03296 + 9.18399i −0.0586684 + 0.521615i
\(311\) 6.86869 + 15.9234i 0.389488 + 0.902934i 0.994305 + 0.106570i \(0.0339869\pi\)
−0.604817 + 0.796364i \(0.706754\pi\)
\(312\) 13.5164 + 2.97399i 0.765216 + 0.168369i
\(313\) −0.0690633 + 0.0346849i −0.00390369 + 0.00196050i −0.450750 0.892650i \(-0.648843\pi\)
0.446846 + 0.894611i \(0.352547\pi\)
\(314\) −1.90818 + 5.31452i −0.107685 + 0.299916i
\(315\) −6.20022 + 9.55462i −0.349343 + 0.538342i
\(316\) 7.41038 + 19.8214i 0.416867 + 1.11504i
\(317\) 5.38775 5.71068i 0.302606 0.320744i −0.558171 0.829726i \(-0.688497\pi\)
0.860777 + 0.508982i \(0.169978\pi\)
\(318\) −13.2147 + 2.43150i −0.741045 + 0.136352i
\(319\) 0.317380 + 0.482553i 0.0177699 + 0.0270178i
\(320\) 3.12113 11.5109i 0.174477 0.643479i
\(321\) −0.933561 15.2210i −0.0521063 0.849555i
\(322\) −5.72940 + 4.30426i −0.319287 + 0.239867i
\(323\) 26.8870i 1.49603i
\(324\) 15.9120 8.41469i 0.884002 0.467483i
\(325\) 7.84640i 0.435240i
\(326\) −3.21086 4.27397i −0.177833 0.236714i
\(327\) −19.3855 9.66113i −1.07202 0.534262i
\(328\) 26.2991 + 7.50079i 1.45213 + 0.414162i
\(329\) 17.6596 + 26.8501i 0.973605 + 1.48029i
\(330\) −1.54027 + 1.31207i −0.0847892 + 0.0722270i
\(331\) −0.850050 + 0.901001i −0.0467230 + 0.0495235i −0.750314 0.661082i \(-0.770097\pi\)
0.703591 + 0.710606i \(0.251579\pi\)
\(332\) −1.88412 5.03967i −0.103404 0.276588i
\(333\) 3.54181 15.3651i 0.194090 0.842005i
\(334\) −15.6665 5.62504i −0.857230 0.307789i
\(335\) −2.58456 + 1.29801i −0.141210 + 0.0709181i
\(336\) 11.8427 13.0792i 0.646074 0.713530i
\(337\) −3.34879 7.76336i −0.182420 0.422897i 0.802328 0.596883i \(-0.203594\pi\)
−0.984748 + 0.173986i \(0.944335\pi\)
\(338\) 7.05382 + 0.793375i 0.383677 + 0.0431539i
\(339\) −15.8920 21.2099i −0.863133 1.15197i
\(340\) 5.40223 8.37149i 0.292977 0.454008i
\(341\) −1.86058 + 1.56121i −0.100756 + 0.0845442i
\(342\) 30.6658 + 14.9994i 1.65821 + 0.811077i
\(343\) 12.3008 14.6595i 0.664180 0.791539i
\(344\) 6.25082 + 19.9285i 0.337021 + 1.07448i
\(345\) −1.77206 4.82245i −0.0954047 0.259632i
\(346\) 14.3047 + 7.10633i 0.769027 + 0.382039i
\(347\) −16.1124 + 15.2012i −0.864956 + 0.816044i −0.984244 0.176815i \(-0.943420\pi\)
0.119288 + 0.992860i \(0.461939\pi\)
\(348\) 3.29856 1.46920i 0.176822 0.0787571i
\(349\) 30.6254 + 13.2105i 1.63934 + 0.707142i 0.998182 0.0602683i \(-0.0191956\pi\)
0.641157 + 0.767410i \(0.278455\pi\)
\(350\) 8.68480 + 4.96391i 0.464222 + 0.265332i
\(351\) −12.1893 + 8.17933i −0.650616 + 0.436580i
\(352\) 2.67969 1.62586i 0.142828 0.0866585i
\(353\) −3.73762 31.9774i −0.198934 1.70199i −0.611652 0.791127i \(-0.709495\pi\)
0.412719 0.910858i \(-0.364579\pi\)
\(354\) −8.44564 8.81963i −0.448881 0.468758i
\(355\) −0.118310 + 0.0280401i −0.00627926 + 0.00148821i
\(356\) 5.56041 0.372439i 0.294701 0.0197392i
\(357\) 12.7421 7.40909i 0.674386 0.392130i
\(358\) 4.46237 19.2002i 0.235844 1.01476i
\(359\) −3.97763 + 22.5582i −0.209931 + 1.19058i 0.679558 + 0.733622i \(0.262172\pi\)
−0.889489 + 0.456956i \(0.848940\pi\)
\(360\) 6.53430 + 10.8317i 0.344388 + 0.570880i
\(361\) 7.94317 + 45.0480i 0.418062 + 2.37094i
\(362\) 34.9339 + 1.88217i 1.83608 + 0.0989248i
\(363\) 18.4927 + 1.01995i 0.970615 + 0.0535335i
\(364\) −8.49177 + 11.6161i −0.445090 + 0.608851i
\(365\) 5.95415 7.99782i 0.311655 0.418625i
\(366\) −1.10239 + 21.7047i −0.0576230 + 1.13452i
\(367\) 6.34672 + 0.369654i 0.331296 + 0.0192958i 0.222987 0.974821i \(-0.428419\pi\)
0.108309 + 0.994117i \(0.465456\pi\)
\(368\) 1.51824 + 7.81262i 0.0791435 + 0.407261i
\(369\) −25.0308 + 14.6578i −1.30305 + 0.763056i
\(370\) 10.9214 + 1.87677i 0.567775 + 0.0975685i
\(371\) 3.22168 13.5933i 0.167261 0.705731i
\(372\) 7.74687 + 13.0602i 0.401656 + 0.677137i
\(373\) 14.0697 0.819465i 0.728500 0.0424303i 0.310114 0.950699i \(-0.399633\pi\)
0.418386 + 0.908269i \(0.362596\pi\)
\(374\) 2.54515 0.614921i 0.131607 0.0317968i
\(375\) −14.5652 + 13.8265i −0.752141 + 0.713999i
\(376\) 35.3935 4.60601i 1.82528 0.237537i
\(377\) −2.55026 + 1.47239i −0.131345 + 0.0758322i
\(378\) 1.34193 + 18.6663i 0.0690213 + 0.960090i
\(379\) −13.8604 + 24.0069i −0.711961 + 1.23315i 0.252160 + 0.967686i \(0.418859\pi\)
−0.964120 + 0.265466i \(0.914474\pi\)
\(380\) −9.31032 + 22.1109i −0.477609 + 1.13426i
\(381\) −13.2356 30.4255i −0.678078 1.55875i
\(382\) 22.8507 + 24.0101i 1.16914 + 1.22847i
\(383\) 29.5364 + 14.8337i 1.50924 + 0.757969i 0.995019 0.0996889i \(-0.0317847\pi\)
0.514221 + 0.857658i \(0.328081\pi\)
\(384\) −7.31592 18.1790i −0.373339 0.927695i
\(385\) −0.603338 2.01529i −0.0307490 0.102709i
\(386\) −1.62749 1.35360i −0.0828369 0.0688964i
\(387\) −19.8573 9.82006i −1.00940 0.499182i
\(388\) −13.4242 + 11.4648i −0.681511 + 0.582037i
\(389\) −21.9035 14.4061i −1.11055 0.730420i −0.144687 0.989477i \(-0.546218\pi\)
−0.965862 + 0.259058i \(0.916588\pi\)
\(390\) −6.22176 8.22890i −0.315051 0.416686i
\(391\) −0.771858 + 6.60366i −0.0390345 + 0.333962i
\(392\) −0.593481 1.32791i −0.0299753 0.0670694i
\(393\) 17.1473 18.2876i 0.864969 0.922488i
\(394\) −24.9399 + 12.6615i −1.25645 + 0.637876i
\(395\) 5.39497 14.8226i 0.271450 0.745804i
\(396\) −0.718519 + 3.24590i −0.0361069 + 0.163113i
\(397\) −5.86309 16.1087i −0.294260 0.808473i −0.995431 0.0954800i \(-0.969561\pi\)
0.701171 0.712993i \(-0.252661\pi\)
\(398\) −16.2575 15.2050i −0.814913 0.762156i
\(399\) −27.1185 + 22.8978i −1.35762 + 1.14632i
\(400\) 9.17449 6.26560i 0.458724 0.313280i
\(401\) −4.62451 1.38449i −0.230937 0.0691380i 0.169244 0.985574i \(-0.445867\pi\)
−0.400181 + 0.916436i \(0.631053\pi\)
\(402\) −2.10109 + 4.26229i −0.104793 + 0.212584i
\(403\) −7.39491 9.93309i −0.368367 0.494803i
\(404\) 4.49207 0.0390953i 0.223489 0.00194506i
\(405\) −13.0928 2.93321i −0.650587 0.145753i
\(406\) 0.0163367 + 3.75425i 0.000810775 + 0.186321i
\(407\) 1.73908 + 2.33599i 0.0862029 + 0.115791i
\(408\) −1.21537 16.3249i −0.0601695 0.808204i
\(409\) 2.05974 6.88002i 0.101848 0.340195i −0.891844 0.452344i \(-0.850588\pi\)
0.993691 + 0.112149i \(0.0357733\pi\)
\(410\) −11.2759 16.9828i −0.556879 0.838721i
\(411\) −0.686180 3.82265i −0.0338468 0.188557i
\(412\) 22.9743 + 21.3003i 1.13186 + 1.04939i
\(413\) 11.9303 4.34227i 0.587051 0.213669i
\(414\) −7.10118 4.56433i −0.349004 0.224324i
\(415\) −1.37169 + 3.76869i −0.0673337 + 0.184998i
\(416\) 7.48113 + 14.1215i 0.366793 + 0.692363i
\(417\) −0.819933 + 3.50767i −0.0401523 + 0.171771i
\(418\) −5.77840 + 2.52244i −0.282631 + 0.123377i
\(419\) −0.823629 + 7.04660i −0.0402369 + 0.344249i 0.958092 + 0.286461i \(0.0924788\pi\)
−0.998329 + 0.0577880i \(0.981595\pi\)
\(420\) −13.0443 + 1.68067i −0.636496 + 0.0820083i
\(421\) −0.742358 + 1.12870i −0.0361803 + 0.0550095i −0.853125 0.521706i \(-0.825296\pi\)
0.816945 + 0.576716i \(0.195666\pi\)
\(422\) −16.0571 + 13.5930i −0.781645 + 0.661696i
\(423\) −22.4192 + 30.5047i −1.09006 + 1.48319i
\(424\) −12.0145 9.81698i −0.583476 0.476755i
\(425\) 8.89108 2.66182i 0.431281 0.129117i
\(426\) −0.127272 + 0.153986i −0.00616636 + 0.00746067i
\(427\) −20.1919 10.1408i −0.977155 0.490746i
\(428\) 12.7025 12.1949i 0.613998 0.589461i
\(429\) 0.306453 2.69378i 0.0147957 0.130057i
\(430\) 6.10411 14.3220i 0.294366 0.690666i
\(431\) −13.5515 + 23.4718i −0.652751 + 1.13060i 0.329702 + 0.944085i \(0.393052\pi\)
−0.982453 + 0.186512i \(0.940282\pi\)
\(432\) 19.2973 + 7.72101i 0.928442 + 0.371477i
\(433\) −5.82420 10.0878i −0.279893 0.484789i 0.691465 0.722410i \(-0.256966\pi\)
−0.971358 + 0.237621i \(0.923632\pi\)
\(434\) −15.6728 + 1.90105i −0.752317 + 0.0912533i
\(435\) −2.58093 0.764028i −0.123746 0.0366323i
\(436\) −5.97934 24.2850i −0.286359 1.16304i
\(437\) −0.930879 15.9826i −0.0445300 0.764550i
\(438\) −0.121734 16.3821i −0.00581668 0.782767i
\(439\) 2.49454 10.5253i 0.119058 0.502344i −0.880540 0.473973i \(-0.842820\pi\)
0.999597 0.0283719i \(-0.00903227\pi\)
\(440\) −2.30597 0.375636i −0.109933 0.0179077i
\(441\) 1.45291 + 0.518705i 0.0691861 + 0.0247002i
\(442\) 2.37540 + 13.1370i 0.112986 + 0.624864i
\(443\) 0.269805 + 0.0157143i 0.0128188 + 0.000746610i 0.0645530 0.997914i \(-0.479438\pi\)
−0.0517342 + 0.998661i \(0.516475\pi\)
\(444\) 16.1733 8.36260i 0.767552 0.396871i
\(445\) −3.33207 2.48063i −0.157955 0.117593i
\(446\) 13.5751 + 10.0147i 0.642797 + 0.474212i
\(447\) 8.36040 12.7970i 0.395433 0.605279i
\(448\) 20.3632 + 0.653248i 0.962073 + 0.0308631i
\(449\) 32.6592 5.75870i 1.54128 0.271770i 0.662526 0.749039i \(-0.269484\pi\)
0.878757 + 0.477269i \(0.158373\pi\)
\(450\) −1.92415 + 11.6256i −0.0907055 + 0.548037i
\(451\) 0.930295 5.27597i 0.0438059 0.248436i
\(452\) 6.79816 29.8386i 0.319758 1.40349i
\(453\) 6.59005 11.4959i 0.309628 0.540125i
\(454\) 0.685172 0.0428991i 0.0321567 0.00201335i
\(455\) 10.4366 2.47352i 0.489276 0.115961i
\(456\) 9.70818 + 38.2045i 0.454627 + 1.78909i
\(457\) −26.2771 + 3.07135i −1.22919 + 0.143672i −0.705794 0.708417i \(-0.749410\pi\)
−0.523397 + 0.852089i \(0.675336\pi\)
\(458\) −16.3594 + 9.54026i −0.764425 + 0.445787i
\(459\) 13.4034 + 11.0374i 0.625619 + 0.515184i
\(460\) 2.92144 5.16335i 0.136213 0.240742i
\(461\) −8.42030 + 19.5204i −0.392172 + 0.909158i 0.601710 + 0.798715i \(0.294486\pi\)
−0.993882 + 0.110443i \(0.964773\pi\)
\(462\) −2.78775 2.04338i −0.129698 0.0950666i
\(463\) −7.74921 + 7.31100i −0.360136 + 0.339771i −0.844949 0.534847i \(-0.820369\pi\)
0.484813 + 0.874618i \(0.338888\pi\)
\(464\) 3.75808 + 1.80617i 0.174464 + 0.0838493i
\(465\) 1.93118 11.1530i 0.0895565 0.517208i
\(466\) −30.2570 + 9.20201i −1.40163 + 0.426275i
\(467\) −18.6883 + 22.2718i −0.864791 + 1.03062i 0.134421 + 0.990924i \(0.457083\pi\)
−0.999212 + 0.0396933i \(0.987362\pi\)
\(468\) −16.3085 4.61950i −0.753861 0.213537i
\(469\) −3.17578 3.78475i −0.146644 0.174764i
\(470\) −22.2916 14.5229i −1.02824 0.669890i
\(471\) 2.71963 6.35857i 0.125314 0.292988i
\(472\) 1.45399 14.0252i 0.0669252 0.645561i
\(473\) 3.75686 1.62055i 0.172740 0.0745130i
\(474\) −7.61743 24.7725i −0.349880 1.13784i
\(475\) −19.9712 + 10.0299i −0.916340 + 0.460203i
\(476\) 16.0435 + 5.68173i 0.735352 + 0.260421i
\(477\) 16.3330 2.01109i 0.747837 0.0920816i
\(478\) 1.37862 0.508583i 0.0630568 0.0232620i
\(479\) −6.02982 + 6.39124i −0.275510 + 0.292023i −0.850323 0.526262i \(-0.823593\pi\)
0.574813 + 0.818285i \(0.305075\pi\)
\(480\) −4.65346 + 13.8459i −0.212400 + 0.631976i
\(481\) −12.4056 + 8.15932i −0.565649 + 0.372033i
\(482\) 5.99188 20.3359i 0.272923 0.926276i
\(483\) 7.31787 4.84539i 0.332975 0.220473i
\(484\) 12.9196 + 17.0424i 0.587256 + 0.774655i
\(485\) 13.1592 0.597528
\(486\) −20.0661 + 9.12976i −0.910216 + 0.414134i
\(487\) 2.71826i 0.123176i −0.998102 0.0615881i \(-0.980383\pi\)
0.998102 0.0615881i \(-0.0196165\pi\)
\(488\) −19.9317 + 15.2470i −0.902268 + 0.690201i
\(489\) 3.61452 + 5.45893i 0.163454 + 0.246861i
\(490\) −0.306427 + 1.03999i −0.0138430 + 0.0469819i
\(491\) 22.6225 + 34.3958i 1.02094 + 1.55226i 0.819759 + 0.572708i \(0.194107\pi\)
0.201180 + 0.979554i \(0.435522\pi\)
\(492\) −31.6070 11.0841i −1.42495 0.499708i
\(493\) 2.53359 + 2.39031i 0.114107 + 0.107654i
\(494\) −11.1261 30.1596i −0.500586 1.35695i
\(495\) 1.97859 1.49203i 0.0889308 0.0670617i
\(496\) −5.70931 + 16.5785i −0.256355 + 0.744396i
\(497\) −0.0932176 0.185611i −0.00418138 0.00832581i
\(498\) 1.93676 + 6.29851i 0.0867884 + 0.282243i
\(499\) 7.74554 + 17.9562i 0.346738 + 0.803829i 0.998951 + 0.0457930i \(0.0145815\pi\)
−0.652213 + 0.758036i \(0.726159\pi\)
\(500\) −23.0553 2.49159i −1.03106 0.111427i
\(501\) 18.7442 + 8.01709i 0.837429 + 0.358177i
\(502\) 5.00414 7.68102i 0.223346 0.342821i
\(503\) −5.76505 + 4.83745i −0.257051 + 0.215691i −0.762201 0.647340i \(-0.775881\pi\)
0.505151 + 0.863031i \(0.331437\pi\)
\(504\) −15.4304 + 15.1286i −0.687327 + 0.673883i
\(505\) −2.56514 2.15241i −0.114147 0.0957810i
\(506\) 1.49164 0.453649i 0.0663114 0.0201672i
\(507\) −8.56613 1.48326i −0.380435 0.0658738i
\(508\) 16.8960 34.3857i 0.749641 1.52562i
\(509\) −16.8472 17.8570i −0.746740 0.791498i 0.236921 0.971529i \(-0.423862\pi\)
−0.983661 + 0.180031i \(0.942380\pi\)
\(510\) −7.21384 + 9.84171i −0.319434 + 0.435798i
\(511\) 15.6398 + 6.74635i 0.691864 + 0.298441i
\(512\) 10.5378 20.0239i 0.465709 0.884938i
\(513\) −36.3999 20.5695i −1.60710 0.908166i
\(514\) −24.1375 + 14.0762i −1.06466 + 0.620874i
\(515\) −2.71113 23.1952i −0.119467 1.02210i
\(516\) −6.19197 24.8191i −0.272586 1.09260i
\(517\) −1.61245 6.80347i −0.0709155 0.299216i
\(518\) 1.18291 + 18.8931i 0.0519741 + 0.830115i
\(519\) −16.9716 9.72899i −0.744970 0.427055i
\(520\) 2.59559 11.6260i 0.113824 0.509832i
\(521\) 28.0855 + 4.95223i 1.23045 + 0.216961i 0.750817 0.660510i \(-0.229660\pi\)
0.479630 + 0.877471i \(0.340771\pi\)
\(522\) −4.13967 + 1.55618i −0.181189 + 0.0681122i
\(523\) 5.11261 + 28.9950i 0.223559 + 1.26786i 0.865421 + 0.501045i \(0.167051\pi\)
−0.641863 + 0.766820i \(0.721838\pi\)
\(524\) 28.9121 + 1.43158i 1.26303 + 0.0625390i
\(525\) −10.2567 6.70076i −0.447638 0.292445i
\(526\) −12.9671 + 17.5770i −0.565394 + 0.766396i
\(527\) −8.74696 + 11.7492i −0.381023 + 0.511803i
\(528\) −3.39444 + 1.79275i −0.147724 + 0.0780193i
\(529\) 1.10714 19.0089i 0.0481366 0.826474i
\(530\) 2.05781 + 11.3806i 0.0893857 + 0.494343i
\(531\) 9.68370 + 11.3973i 0.420237 + 0.494600i
\(532\) −40.4210 6.76515i −1.75247 0.293306i
\(533\) 26.5787 + 6.29926i 1.15125 + 0.272851i
\(534\) −6.82515 + 0.0507171i −0.295353 + 0.00219475i
\(535\) −13.1035 + 0.763192i −0.566514 + 0.0329957i
\(536\) −5.32228 + 1.33502i −0.229888 + 0.0576640i
\(537\) −6.85277 + 23.1490i −0.295719 + 0.998955i
\(538\) 5.57222 0.675890i 0.240235 0.0291397i
\(539\) −0.246757 + 0.142465i −0.0106286 + 0.00613642i
\(540\) −7.20052 13.7181i −0.309861 0.590333i
\(541\) −20.5716 11.8770i −0.884443 0.510634i −0.0123224 0.999924i \(-0.503922\pi\)
−0.872121 + 0.489291i \(0.837256\pi\)
\(542\) −39.0585 16.6470i −1.67770 0.715048i
\(543\) −42.5725 4.84318i −1.82696 0.207841i
\(544\) 13.4638 13.2678i 0.577254 0.568851i
\(545\) −8.36691 + 16.6599i −0.358399 + 0.713631i
\(546\) 11.2272 13.5837i 0.480478 0.581330i
\(547\) 5.47464 + 18.2866i 0.234079 + 0.781877i 0.991631 + 0.129103i \(0.0412098\pi\)
−0.757552 + 0.652774i \(0.773605\pi\)
\(548\) 2.85262 3.46033i 0.121858 0.147818i
\(549\) 2.92717 26.4556i 0.124929 1.12910i
\(550\) −1.40619 1.66110i −0.0599603 0.0708297i
\(551\) −7.00759 4.60896i −0.298533 0.196348i
\(552\) −1.28766 9.66204i −0.0548063 0.411244i
\(553\) 26.7637 + 3.12823i 1.13811 + 0.133026i
\(554\) 5.09526 2.22423i 0.216477 0.0944983i
\(555\) −13.2157 3.08923i −0.560975 0.131130i
\(556\) −3.70067 + 1.89905i −0.156943 + 0.0805378i
\(557\) −2.28213 0.830629i −0.0966971 0.0351949i 0.293219 0.956045i \(-0.405274\pi\)
−0.389916 + 0.920851i \(0.627496\pi\)
\(558\) −8.52081 16.5308i −0.360715 0.699805i
\(559\) 7.13479 + 19.6027i 0.301769 + 0.829105i
\(560\) −11.2262 10.2279i −0.474392 0.432209i
\(561\) −3.15640 + 0.566585i −0.133263 + 0.0239213i
\(562\) 20.5095 + 30.8896i 0.865142 + 1.30300i
\(563\) −16.3381 4.89131i −0.688569 0.206144i −0.0766423 0.997059i \(-0.524420\pi\)
−0.611926 + 0.790915i \(0.709605\pi\)
\(564\) −43.6066 + 3.05570i −1.83617 + 0.128668i
\(565\) −18.2979 + 13.6223i −0.769800 + 0.573095i
\(566\) −37.6283 + 0.163740i −1.58164 + 0.00688250i
\(567\) −0.282308 22.9187i −0.0118558 0.962495i
\(568\) −0.230661 + 0.00301132i −0.00967830 + 0.000126352i
\(569\) −22.1710 + 16.5057i −0.929455 + 0.691954i −0.951450 0.307804i \(-0.900406\pi\)
0.0219945 + 0.999758i \(0.492998\pi\)
\(570\) 12.9916 26.3549i 0.544158 1.10388i
\(571\) −10.9552 + 36.5929i −0.458461 + 1.53137i 0.346506 + 0.938048i \(0.387368\pi\)
−0.804967 + 0.593319i \(0.797817\pi\)
\(572\) 2.60049 1.74298i 0.108732 0.0728775i
\(573\) −26.1896 31.0171i −1.09409 1.29576i
\(574\) 23.7870 25.4335i 0.992849 1.06158i
\(575\) 5.19302 1.89011i 0.216564 0.0788229i
\(576\) 7.62145 + 22.7577i 0.317560 + 0.948238i
\(577\) 12.5540 + 4.56930i 0.522632 + 0.190222i 0.589845 0.807516i \(-0.299189\pi\)
−0.0672136 + 0.997739i \(0.521411\pi\)
\(578\) −7.35697 + 3.73498i −0.306009 + 0.155355i
\(579\) 1.89124 + 1.77331i 0.0785971 + 0.0736964i
\(580\) −1.25582 2.84303i −0.0521452 0.118050i
\(581\) −6.80479 0.795365i −0.282310 0.0329973i
\(582\) 17.2465 13.0398i 0.714889 0.540517i
\(583\) −1.67017 + 2.53936i −0.0691712 + 0.105170i
\(584\) 14.3313 12.3477i 0.593031 0.510952i
\(585\) 7.00780 + 10.5132i 0.289737 + 0.434669i
\(586\) 13.1936 + 10.9733i 0.545022 + 0.453301i
\(587\) −13.4652 + 4.03120i −0.555767 + 0.166386i −0.552356 0.833609i \(-0.686271\pi\)
−0.00341105 + 0.999994i \(0.501086\pi\)
\(588\) 0.628950 + 1.66666i 0.0259374 + 0.0687319i
\(589\) 15.8296 31.5193i 0.652247 1.29873i
\(590\) −7.61362 + 7.24595i −0.313448 + 0.298311i
\(591\) 31.4124 13.6649i 1.29213 0.562097i
\(592\) 19.4467 + 7.98996i 0.799253 + 0.328385i
\(593\) 9.90836 + 5.72059i 0.406888 + 0.234917i 0.689452 0.724332i \(-0.257852\pi\)
−0.282564 + 0.959248i \(0.591185\pi\)
\(594\) 1.11465 3.91609i 0.0457345 0.160679i
\(595\) −6.34337 10.9870i −0.260053 0.450425i
\(596\) 17.5128 2.20161i 0.717354 0.0901817i
\(597\) 18.7696 + 19.7723i 0.768190 + 0.809227i
\(598\) 1.86685 + 7.72687i 0.0763412 + 0.315975i
\(599\) 1.68750 + 28.9733i 0.0689494 + 1.18382i 0.838380 + 0.545086i \(0.183503\pi\)
−0.769431 + 0.638730i \(0.779460\pi\)
\(600\) −11.6725 + 6.99259i −0.476527 + 0.285471i
\(601\) −6.55048 1.55249i −0.267200 0.0633275i 0.0948319 0.995493i \(-0.469769\pi\)
−0.362032 + 0.932166i \(0.617917\pi\)
\(602\) 26.2110 + 4.50419i 1.06828 + 0.183577i
\(603\) 2.87891 5.05811i 0.117238 0.205982i
\(604\) 15.0446 2.78798i 0.612156 0.113441i
\(605\) 0.926904 15.9143i 0.0376840 0.647010i
\(606\) −5.49477 0.279082i −0.223210 0.0113369i
\(607\) 2.76754 + 2.06036i 0.112331 + 0.0836273i 0.651858 0.758341i \(-0.273990\pi\)
−0.539527 + 0.841968i \(0.681397\pi\)
\(608\) −26.3800 + 37.0927i −1.06985 + 1.50431i
\(609\) 0.253217 4.59107i 0.0102609 0.186040i
\(610\) 18.6788 + 1.00638i 0.756281 + 0.0407470i
\(611\) 35.1074 6.19038i 1.42029 0.250436i
\(612\) 0.297951 + 20.0470i 0.0120440 + 0.810351i
\(613\) 27.2106 + 4.79796i 1.09903 + 0.193788i 0.693614 0.720347i \(-0.256017\pi\)
0.405411 + 0.914135i \(0.367128\pi\)
\(614\) −25.8462 6.00699i −1.04307 0.242422i
\(615\) 12.5499 + 21.5834i 0.506062 + 0.870326i
\(616\) −0.284057 3.98102i −0.0114450 0.160400i
\(617\) 5.18524 + 21.8783i 0.208750 + 0.880786i 0.972056 + 0.234749i \(0.0754267\pi\)
−0.763306 + 0.646037i \(0.776425\pi\)
\(618\) −26.5380 27.7131i −1.06751 1.11479i
\(619\) 14.3875 1.68166i 0.578284 0.0675918i 0.178077 0.984016i \(-0.443012\pi\)
0.400207 + 0.916425i \(0.368938\pi\)
\(620\) 11.2617 6.63327i 0.452279 0.266398i
\(621\) 8.34963 + 6.09700i 0.335059 + 0.244664i
\(622\) 12.1699 21.2923i 0.487968 0.853744i
\(623\) 2.81068 6.51589i 0.112608 0.261054i
\(624\) −8.11870 17.8091i −0.325008 0.712933i
\(625\) 2.33211 + 2.47189i 0.0932842 + 0.0988755i
\(626\) 0.0978827 + 0.0486263i 0.00391218 + 0.00194350i
\(627\) 7.24812 2.66340i 0.289462 0.106366i
\(628\) 7.62994 2.35680i 0.304468 0.0940465i
\(629\) 13.4542 + 11.2894i 0.536453 + 0.450137i
\(630\) 16.0700 1.10555i 0.640244 0.0440462i
\(631\) 8.91234 + 10.6213i 0.354795 + 0.422828i 0.913691 0.406410i \(-0.133219\pi\)
−0.558896 + 0.829238i \(0.688775\pi\)
\(632\) 16.1172 25.2159i 0.641106 1.00303i
\(633\) 20.6202 15.4501i 0.819579 0.614085i
\(634\) −11.0336 1.24099i −0.438199 0.0492862i
\(635\) −26.2229 + 11.3115i −1.04062 + 0.448882i
\(636\) 13.9744 + 12.8763i 0.554119 + 0.510580i
\(637\) −0.651990 1.29822i −0.0258328 0.0514373i
\(638\) 0.276022 0.768756i 0.0109278 0.0304353i
\(639\) 0.166806 0.179000i 0.00659874 0.00708112i
\(640\) −15.6664 + 6.24877i −0.619271 + 0.247004i
\(641\) 11.6343 + 10.9764i 0.459527 + 0.433541i 0.880869 0.473361i \(-0.156959\pi\)
−0.421342 + 0.906902i \(0.638441\pi\)
\(642\) −16.4172 + 13.9849i −0.647936 + 0.551939i
\(643\) 39.5922 26.0402i 1.56137 1.02693i 0.584939 0.811078i \(-0.301119\pi\)
0.976427 0.215849i \(-0.0692518\pi\)
\(644\) 9.73354 + 2.82196i 0.383555 + 0.111201i
\(645\) −8.50495 + 17.0656i −0.334882 + 0.671956i
\(646\) −30.4008 + 22.8388i −1.19610 + 0.898581i
\(647\) −35.6089 −1.39993 −0.699964 0.714178i \(-0.746801\pi\)
−0.699964 + 0.714178i \(0.746801\pi\)
\(648\) −23.0307 10.8438i −0.904731 0.425984i
\(649\) −2.76221 −0.108426
\(650\) 8.87183 6.66503i 0.347982 0.261424i
\(651\) 19.2996 1.18371i 0.756409 0.0463934i
\(652\) −2.10511 + 7.26095i −0.0824424 + 0.284361i
\(653\) 9.88805 6.50347i 0.386949 0.254500i −0.341098 0.940028i \(-0.610799\pi\)
0.728047 + 0.685527i \(0.240428\pi\)
\(654\) 5.54306 + 30.1255i 0.216751 + 1.17800i
\(655\) −15.6951 14.8075i −0.613256 0.578578i
\(656\) −13.8584 36.1076i −0.541081 1.40976i
\(657\) −1.04326 + 20.0373i −0.0407016 + 0.781730i
\(658\) 15.3584 42.7750i 0.598731 1.66754i
\(659\) −0.396850 0.790194i −0.0154591 0.0307816i 0.885771 0.464123i \(-0.153631\pi\)
−0.901230 + 0.433342i \(0.857334\pi\)
\(660\) 2.79191 + 0.627047i 0.108675 + 0.0244078i
\(661\) −18.9519 + 8.17506i −0.737145 + 0.317973i −0.731343 0.682010i \(-0.761106\pi\)
−0.00580176 + 0.999983i \(0.501847\pi\)
\(662\) 1.74082 + 0.195797i 0.0676587 + 0.00760988i
\(663\) −1.94816 16.2339i −0.0756603 0.630473i
\(664\) −4.09785 + 6.41124i −0.159027 + 0.248804i
\(665\) 19.6367 + 23.4021i 0.761478 + 0.907494i
\(666\) −20.3817 + 9.04706i −0.789776 + 0.350566i
\(667\) 1.58881 + 1.33317i 0.0615190 + 0.0516206i
\(668\) 6.94752 + 22.4920i 0.268807 + 0.870241i
\(669\) −15.8679 13.2317i −0.613487 0.511565i
\(670\) 3.66307 + 1.81975i 0.141517 + 0.0703030i
\(671\) 3.37355 + 3.57575i 0.130234 + 0.138040i
\(672\) −24.8482 2.28044i −0.958540 0.0879699i
\(673\) 1.51442 3.51083i 0.0583768 0.135333i −0.886531 0.462669i \(-0.846892\pi\)
0.944908 + 0.327337i \(0.106151\pi\)
\(674\) −5.93335 + 10.3809i −0.228544 + 0.399858i
\(675\) 3.19841 14.0733i 0.123107 0.541680i
\(676\) −5.09472 8.64959i −0.195951 0.332676i
\(677\) −15.7650 + 1.84266i −0.605898 + 0.0708193i −0.413510 0.910500i \(-0.635697\pi\)
−0.192388 + 0.981319i \(0.561623\pi\)
\(678\) −10.4826 + 35.9854i −0.402582 + 1.38201i
\(679\) 5.18411 + 21.8735i 0.198948 + 0.839427i
\(680\) −14.0544 + 1.00282i −0.538962 + 0.0384564i
\(681\) −0.840800 + 0.00258908i −0.0322195 + 9.92138e-5i
\(682\) 3.34569 + 0.777581i 0.128113 + 0.0297751i
\(683\) 47.4632 + 8.36903i 1.81613 + 0.320232i 0.975269 0.221023i \(-0.0709396\pi\)
0.840858 + 0.541255i \(0.182051\pi\)
\(684\) −9.08898 47.4145i −0.347526 1.81294i
\(685\) −3.29205 + 0.580477i −0.125783 + 0.0221789i
\(686\) −27.0241 1.45601i −1.03178 0.0555907i
\(687\) 20.6949 10.4733i 0.789560 0.399581i
\(688\) 17.2233 23.9958i 0.656632 0.914831i
\(689\) −12.4301 9.25389i −0.473550 0.352545i
\(690\) −3.94743 + 6.10002i −0.150276 + 0.232224i
\(691\) −2.18582 + 37.5292i −0.0831527 + 1.42768i 0.656316 + 0.754486i \(0.272114\pi\)
−0.739469 + 0.673191i \(0.764923\pi\)
\(692\) −4.11594 22.2106i −0.156465 0.844319i
\(693\) 3.25955 + 2.70106i 0.123820 + 0.102605i
\(694\) 30.8743 + 5.30555i 1.17197 + 0.201396i
\(695\) 3.01694 + 0.715029i 0.114439 + 0.0271226i
\(696\) −4.46313 2.48166i −0.169174 0.0940669i
\(697\) −1.87860 32.2544i −0.0711572 1.22172i
\(698\) −11.0774 45.8492i −0.419286 1.73542i
\(699\) 37.6613 9.04846i 1.42448 0.342244i
\(700\) −1.76457 14.0363i −0.0666944 0.530524i
\(701\) −25.5810 44.3076i −0.966180 1.67347i −0.706410 0.707803i \(-0.749686\pi\)
−0.259771 0.965670i \(-0.583647\pi\)
\(702\) 19.6023 + 6.83445i 0.739842 + 0.257950i
\(703\) −36.6255 21.1458i −1.38136 0.797527i
\(704\) −4.11456 1.64882i −0.155073 0.0621424i
\(705\) 26.1965 + 19.3775i 0.986619 + 0.729799i
\(706\) −32.9816 + 31.3889i −1.24128 + 1.18134i
\(707\) 2.56723 5.11178i 0.0965508 0.192248i
\(708\) −2.79820 + 17.0411i −0.105163 + 0.640444i
\(709\) −18.2917 + 5.47617i −0.686959 + 0.205662i −0.611214 0.791465i \(-0.709319\pi\)
−0.0757448 + 0.997127i \(0.524133\pi\)
\(710\) 0.132202 + 0.109954i 0.00496145 + 0.00412649i
\(711\) 7.51028 + 30.8407i 0.281658 + 1.15662i
\(712\) −5.14433 5.97072i −0.192792 0.223762i
\(713\) −4.79272 + 7.28698i −0.179489 + 0.272900i
\(714\) −19.2010 8.11382i −0.718580 0.303652i
\(715\) −2.31778 0.270909i −0.0866800 0.0101314i
\(716\) −25.4999 + 11.2638i −0.952976 + 0.420948i
\(717\) −1.72249 + 0.521464i −0.0643275 + 0.0194744i
\(718\) 28.8851 14.6644i 1.07798 0.547269i
\(719\) 2.05450 + 0.747777i 0.0766199 + 0.0278874i 0.380046 0.924968i \(-0.375908\pi\)
−0.303426 + 0.952855i \(0.598130\pi\)
\(720\) 6.69677 16.5891i 0.249574 0.618239i
\(721\) 37.4874 13.6443i 1.39611 0.508141i
\(722\) 44.1879 47.2467i 1.64451 1.75834i
\(723\) −8.80536 + 24.4263i −0.327475 + 0.908424i
\(724\) −27.5460 41.0981i −1.02374 1.52740i
\(725\) 0.830357 2.77359i 0.0308387 0.103008i
\(726\) −14.5552 21.7759i −0.540193 0.808178i
\(727\) −30.0856 + 22.3979i −1.11581 + 0.830693i −0.986959 0.160971i \(-0.948537\pi\)
−0.128855 + 0.991664i \(0.541130\pi\)
\(728\) 20.3475 0.265640i 0.754127 0.00984527i
\(729\) 25.1968 9.70170i 0.933214 0.359322i
\(730\) −14.1007 + 0.0613594i −0.521891 + 0.00227101i
\(731\) 19.7922 14.7348i 0.732041 0.544985i
\(732\) 25.4777 17.1903i 0.941682 0.635373i
\(733\) 50.2353 + 15.0395i 1.85548 + 0.555495i 0.999243 + 0.0389154i \(0.0123903\pi\)
0.856239 + 0.516579i \(0.172795\pi\)
\(734\) −4.97318 7.49015i −0.183563 0.276467i
\(735\) 0.450310 1.24917i 0.0166099 0.0460764i
\(736\) 7.54399 8.35298i 0.278075 0.307895i
\(737\) 0.367643 + 1.01009i 0.0135423 + 0.0372072i
\(738\) 37.8356 + 15.8511i 1.39275 + 0.583488i
\(739\) −1.76806 0.643522i −0.0650392 0.0236723i 0.309296 0.950966i \(-0.399907\pi\)
−0.374335 + 0.927294i \(0.622129\pi\)
\(740\) −7.15499 13.9429i −0.263023 0.512550i
\(741\) 11.4079 + 37.6822i 0.419079 + 1.38429i
\(742\) −18.1064 + 7.90398i −0.664708 + 0.290164i
\(743\) −32.6592 3.81732i −1.19815 0.140044i −0.506477 0.862253i \(-0.669053\pi\)
−0.691674 + 0.722209i \(0.743127\pi\)
\(744\) 8.18647 19.8531i 0.300131 0.727849i
\(745\) −10.9925 7.22988i −0.402734 0.264882i
\(746\) −12.8779 15.2123i −0.471493 0.556963i
\(747\) −1.90952 7.84137i −0.0698657 0.286901i
\(748\) −2.85723 2.35543i −0.104471 0.0861231i
\(749\) −6.43077 21.4803i −0.234975 0.784872i
\(750\) 28.0057 + 4.72386i 1.02262 + 0.172491i
\(751\) 4.09468 8.15317i 0.149417 0.297514i −0.806456 0.591294i \(-0.798617\pi\)
0.955873 + 0.293781i \(0.0949135\pi\)
\(752\) −35.2725 36.1065i −1.28626 1.31667i
\(753\) −6.67690 + 9.02653i −0.243320 + 0.328945i
\(754\) 3.83111 + 1.63284i 0.139521 + 0.0594646i
\(755\) −9.87729 5.70266i −0.359471 0.207541i
\(756\) 19.9659 17.3732i 0.726151 0.631855i
\(757\) −14.4699 + 8.35420i −0.525918 + 0.303639i −0.739352 0.673319i \(-0.764868\pi\)
0.213435 + 0.976957i \(0.431535\pi\)
\(758\) 38.9179 4.72060i 1.41356 0.171460i
\(759\) −1.85666 + 0.446079i −0.0673925 + 0.0161917i
\(760\) 32.9091 8.25477i 1.19374 0.299432i
\(761\) −14.2733 + 0.831326i −0.517407 + 0.0301355i −0.314862 0.949137i \(-0.601958\pi\)
−0.202545 + 0.979273i \(0.564921\pi\)
\(762\) −23.1590 + 40.8099i −0.838961 + 1.47839i
\(763\) −30.9886 7.34443i −1.12186 0.265886i
\(764\) 7.73773 46.2321i 0.279941 1.67262i
\(765\) 9.53567 11.5074i 0.344763 0.416049i
\(766\) −8.31701 45.9968i −0.300506 1.66193i
\(767\) 0.818875 14.0595i 0.0295679 0.507661i
\(768\) −14.3404 + 23.7140i −0.517465 + 0.855705i
\(769\) −16.6921 + 22.4214i −0.601933 + 0.808537i −0.993764 0.111500i \(-0.964434\pi\)
0.391831 + 0.920037i \(0.371842\pi\)
\(770\) −1.76617 + 2.39405i −0.0636482 + 0.0862756i
\(771\) 30.5344 15.4529i 1.09967 0.556521i
\(772\) −0.148049 + 2.98998i −0.00532840 + 0.107612i