Properties

Label 637.2.w.b.92.3
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $174$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.w (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.3
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.b.547.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.44058 + 1.80643i) q^{2} +(-0.133830 - 0.0644489i) q^{3} +(-0.742877 - 3.25476i) q^{4} +(-3.89600 - 1.87621i) q^{5} +(0.309215 - 0.148910i) q^{6} +(-1.21227 + 2.35168i) q^{7} +(2.78627 + 1.34180i) q^{8} +(-1.85671 - 2.32824i) q^{9} +O(q^{10})\) \(q+(-1.44058 + 1.80643i) q^{2} +(-0.133830 - 0.0644489i) q^{3} +(-0.742877 - 3.25476i) q^{4} +(-3.89600 - 1.87621i) q^{5} +(0.309215 - 0.148910i) q^{6} +(-1.21227 + 2.35168i) q^{7} +(2.78627 + 1.34180i) q^{8} +(-1.85671 - 2.32824i) q^{9} +(9.00174 - 4.33501i) q^{10} +(-2.80434 + 3.51653i) q^{11} +(-0.110347 + 0.483461i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-2.50178 - 5.57766i) q^{14} +(0.400480 + 0.502186i) q^{15} +(-0.422006 + 0.203227i) q^{16} +(0.401146 - 1.75754i) q^{17} +6.88055 q^{18} -0.231176 q^{19} +(-3.21237 + 14.0743i) q^{20} +(0.313801 - 0.236595i) q^{21} +(-2.31249 - 10.1317i) q^{22} +(-1.27641 - 5.59232i) q^{23} +(-0.286408 - 0.359144i) q^{24} +(8.54116 + 10.7103i) q^{25} +(0.514137 + 2.25258i) q^{26} +(0.197590 + 0.865698i) q^{27} +(8.55472 + 2.19863i) q^{28} +(-1.19148 + 5.22020i) q^{29} -1.48409 q^{30} +6.94034 q^{31} +(-1.13549 + 4.97489i) q^{32} +(0.601941 - 0.289879i) q^{33} +(2.59698 + 3.25651i) q^{34} +(9.13525 - 6.88767i) q^{35} +(-6.19856 + 7.77275i) q^{36} +(-0.717912 + 3.14538i) q^{37} +(0.333027 - 0.417603i) q^{38} +(-0.133830 + 0.0644489i) q^{39} +(-8.33779 - 10.4553i) q^{40} +(6.70317 + 3.22808i) q^{41} +(-0.0246622 + 0.907693i) q^{42} +(0.174385 - 0.0839792i) q^{43} +(13.5287 + 6.51510i) q^{44} +(2.86546 + 12.5544i) q^{45} +(11.9409 + 5.75044i) q^{46} +(4.37411 - 5.48496i) q^{47} +0.0695747 q^{48} +(-4.06081 - 5.70174i) q^{49} -31.6516 q^{50} +(-0.166957 + 0.209357i) q^{51} +(-3.00785 - 1.44850i) q^{52} +(-1.41937 - 6.21867i) q^{53} +(-1.84847 - 0.890174i) q^{54} +(17.5235 - 8.43886i) q^{55} +(-6.53318 + 4.92580i) q^{56} +(0.0309382 + 0.0148990i) q^{57} +(-7.71351 - 9.67244i) q^{58} +(0.0947729 - 0.0456402i) q^{59} +(1.33699 - 1.67653i) q^{60} +(-2.53323 + 11.0988i) q^{61} +(-9.99811 + 12.5372i) q^{62} +(7.72612 - 1.54394i) q^{63} +(-7.93510 - 9.95030i) q^{64} +(-3.89600 + 1.87621i) q^{65} +(-0.343497 + 1.50496i) q^{66} +2.01285 q^{67} -6.01836 q^{68} +(-0.189598 + 0.830682i) q^{69} +(-0.717956 + 26.4244i) q^{70} +(-0.819343 - 3.58978i) q^{71} +(-2.04927 - 8.97844i) q^{72} +(-6.06488 - 7.60512i) q^{73} +(-4.64769 - 5.82802i) q^{74} +(-0.452794 - 1.98382i) q^{75} +(0.171735 + 0.752421i) q^{76} +(-4.87015 - 10.8579i) q^{77} +(0.0763697 - 0.334598i) q^{78} +4.15953 q^{79} +2.02543 q^{80} +(-1.95861 + 8.58123i) q^{81} +(-15.4877 + 7.45850i) q^{82} +(1.05155 + 1.31860i) q^{83} +(-1.00318 - 0.845584i) q^{84} +(-4.86038 + 6.09472i) q^{85} +(-0.0995123 + 0.435992i) q^{86} +(0.495892 - 0.621828i) q^{87} +(-12.5321 + 6.03515i) q^{88} +(-3.27454 - 4.10615i) q^{89} +(-26.8066 - 12.9094i) q^{90} +(1.08278 + 2.41404i) q^{91} +(-17.2534 + 8.30881i) q^{92} +(-0.928823 - 0.447298i) q^{93} +(3.60694 + 15.8030i) q^{94} +(0.900660 + 0.433735i) q^{95} +(0.472588 - 0.592606i) q^{96} -0.135023 q^{97} +(16.1497 + 0.878229i) q^{98} +13.3942 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} + O(q^{10}) \) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.44058 + 1.80643i −1.01864 + 1.27734i −0.0583653 + 0.998295i \(0.518589\pi\)
−0.960278 + 0.279044i \(0.909983\pi\)
\(3\) −0.133830 0.0644489i −0.0772666 0.0372096i 0.394851 0.918745i \(-0.370796\pi\)
−0.472118 + 0.881535i \(0.656510\pi\)
\(4\) −0.742877 3.25476i −0.371439 1.62738i
\(5\) −3.89600 1.87621i −1.74234 0.839068i −0.981835 0.189739i \(-0.939236\pi\)
−0.760508 0.649329i \(-0.775050\pi\)
\(6\) 0.309215 0.148910i 0.126236 0.0607922i
\(7\) −1.21227 + 2.35168i −0.458194 + 0.888852i
\(8\) 2.78627 + 1.34180i 0.985094 + 0.474396i
\(9\) −1.85671 2.32824i −0.618904 0.776081i
\(10\) 9.00174 4.33501i 2.84660 1.37085i
\(11\) −2.80434 + 3.51653i −0.845541 + 1.06027i 0.151873 + 0.988400i \(0.451470\pi\)
−0.997414 + 0.0718745i \(0.977102\pi\)
\(12\) −0.110347 + 0.483461i −0.0318544 + 0.139563i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) −2.50178 5.57766i −0.668629 1.49069i
\(15\) 0.400480 + 0.502186i 0.103403 + 0.129664i
\(16\) −0.422006 + 0.203227i −0.105501 + 0.0508068i
\(17\) 0.401146 1.75754i 0.0972922 0.426265i −0.902700 0.430271i \(-0.858418\pi\)
0.999992 + 0.00400588i \(0.00127512\pi\)
\(18\) 6.88055 1.62176
\(19\) −0.231176 −0.0530353 −0.0265177 0.999648i \(-0.508442\pi\)
−0.0265177 + 0.999648i \(0.508442\pi\)
\(20\) −3.21237 + 14.0743i −0.718308 + 3.14711i
\(21\) 0.313801 0.236595i 0.0684769 0.0516293i
\(22\) −2.31249 10.1317i −0.493025 2.16008i
\(23\) −1.27641 5.59232i −0.266150 1.16608i −0.914451 0.404696i \(-0.867377\pi\)
0.648301 0.761384i \(-0.275480\pi\)
\(24\) −0.286408 0.359144i −0.0584628 0.0733100i
\(25\) 8.54116 + 10.7103i 1.70823 + 2.14206i
\(26\) 0.514137 + 2.25258i 0.100831 + 0.441768i
\(27\) 0.197590 + 0.865698i 0.0380262 + 0.166604i
\(28\) 8.55472 + 2.19863i 1.61669 + 0.415501i
\(29\) −1.19148 + 5.22020i −0.221252 + 0.969368i 0.735285 + 0.677758i \(0.237048\pi\)
−0.956537 + 0.291610i \(0.905809\pi\)
\(30\) −1.48409 −0.270956
\(31\) 6.94034 1.24652 0.623261 0.782014i \(-0.285807\pi\)
0.623261 + 0.782014i \(0.285807\pi\)
\(32\) −1.13549 + 4.97489i −0.200727 + 0.879444i
\(33\) 0.601941 0.289879i 0.104784 0.0504615i
\(34\) 2.59698 + 3.25651i 0.445379 + 0.558488i
\(35\) 9.13525 6.88767i 1.54414 1.16423i
\(36\) −6.19856 + 7.77275i −1.03309 + 1.29546i
\(37\) −0.717912 + 3.14538i −0.118024 + 0.517097i 0.881008 + 0.473102i \(0.156866\pi\)
−0.999032 + 0.0439950i \(0.985991\pi\)
\(38\) 0.333027 0.417603i 0.0540241 0.0677441i
\(39\) −0.133830 + 0.0644489i −0.0214299 + 0.0103201i
\(40\) −8.33779 10.4553i −1.31832 1.65312i
\(41\) 6.70317 + 3.22808i 1.04686 + 0.504141i 0.876580 0.481255i \(-0.159819\pi\)
0.170278 + 0.985396i \(0.445533\pi\)
\(42\) −0.0246622 + 0.907693i −0.00380546 + 0.140060i
\(43\) 0.174385 0.0839792i 0.0265934 0.0128067i −0.420540 0.907274i \(-0.638159\pi\)
0.447133 + 0.894467i \(0.352445\pi\)
\(44\) 13.5287 + 6.51510i 2.03953 + 0.982188i
\(45\) 2.86546 + 12.5544i 0.427158 + 1.87150i
\(46\) 11.9409 + 5.75044i 1.76059 + 0.847856i
\(47\) 4.37411 5.48496i 0.638029 0.800063i −0.352726 0.935727i \(-0.614745\pi\)
0.990755 + 0.135664i \(0.0433166\pi\)
\(48\) 0.0695747 0.0100422
\(49\) −4.06081 5.70174i −0.580116 0.814534i
\(50\) −31.6516 −4.47621
\(51\) −0.166957 + 0.209357i −0.0233786 + 0.0293158i
\(52\) −3.00785 1.44850i −0.417113 0.200871i
\(53\) −1.41937 6.21867i −0.194966 0.854200i −0.973879 0.227068i \(-0.927086\pi\)
0.778913 0.627132i \(-0.215771\pi\)
\(54\) −1.84847 0.890174i −0.251544 0.121137i
\(55\) 17.5235 8.43886i 2.36286 1.13790i
\(56\) −6.53318 + 4.92580i −0.873033 + 0.658238i
\(57\) 0.0309382 + 0.0148990i 0.00409786 + 0.00197342i
\(58\) −7.71351 9.67244i −1.01283 1.27005i
\(59\) 0.0947729 0.0456402i 0.0123384 0.00594185i −0.427704 0.903919i \(-0.640678\pi\)
0.440043 + 0.897977i \(0.354963\pi\)
\(60\) 1.33699 1.67653i 0.172604 0.216439i
\(61\) −2.53323 + 11.0988i −0.324346 + 1.42105i 0.505386 + 0.862893i \(0.331350\pi\)
−0.829733 + 0.558161i \(0.811507\pi\)
\(62\) −9.99811 + 12.5372i −1.26976 + 1.59223i
\(63\) 7.72612 1.54394i 0.973400 0.194518i
\(64\) −7.93510 9.95030i −0.991888 1.24379i
\(65\) −3.89600 + 1.87621i −0.483239 + 0.232716i
\(66\) −0.343497 + 1.50496i −0.0422815 + 0.185248i
\(67\) 2.01285 0.245909 0.122955 0.992412i \(-0.460763\pi\)
0.122955 + 0.992412i \(0.460763\pi\)
\(68\) −6.01836 −0.729833
\(69\) −0.189598 + 0.830682i −0.0228249 + 0.100002i
\(70\) −0.717956 + 26.4244i −0.0858122 + 3.15832i
\(71\) −0.819343 3.58978i −0.0972381 0.426028i 0.902753 0.430159i \(-0.141542\pi\)
−0.999991 + 0.00413053i \(0.998685\pi\)
\(72\) −2.04927 8.97844i −0.241509 1.05812i
\(73\) −6.06488 7.60512i −0.709840 0.890112i 0.287875 0.957668i \(-0.407051\pi\)
−0.997715 + 0.0675562i \(0.978480\pi\)
\(74\) −4.64769 5.82802i −0.540283 0.677494i
\(75\) −0.452794 1.98382i −0.0522842 0.229072i
\(76\) 0.171735 + 0.752421i 0.0196994 + 0.0863086i
\(77\) −4.87015 10.8579i −0.555006 1.23737i
\(78\) 0.0763697 0.334598i 0.00864717 0.0378857i
\(79\) 4.15953 0.467984 0.233992 0.972239i \(-0.424821\pi\)
0.233992 + 0.972239i \(0.424821\pi\)
\(80\) 2.02543 0.226450
\(81\) −1.95861 + 8.58123i −0.217623 + 0.953470i
\(82\) −15.4877 + 7.45850i −1.71033 + 0.823654i
\(83\) 1.05155 + 1.31860i 0.115422 + 0.144735i 0.836186 0.548446i \(-0.184780\pi\)
−0.720764 + 0.693181i \(0.756209\pi\)
\(84\) −1.00318 0.845584i −0.109455 0.0922608i
\(85\) −4.86038 + 6.09472i −0.527182 + 0.661065i
\(86\) −0.0995123 + 0.435992i −0.0107307 + 0.0470142i
\(87\) 0.495892 0.621828i 0.0531652 0.0666670i
\(88\) −12.5321 + 6.03515i −1.33593 + 0.643349i
\(89\) −3.27454 4.10615i −0.347101 0.435251i 0.577382 0.816474i \(-0.304074\pi\)
−0.924483 + 0.381223i \(0.875503\pi\)
\(90\) −26.8066 12.9094i −2.82566 1.36077i
\(91\) 1.08278 + 2.41404i 0.113506 + 0.253060i
\(92\) −17.2534 + 8.30881i −1.79879 + 0.866254i
\(93\) −0.928823 0.447298i −0.0963145 0.0463826i
\(94\) 3.60694 + 15.8030i 0.372027 + 1.62996i
\(95\) 0.900660 + 0.433735i 0.0924057 + 0.0445003i
\(96\) 0.472588 0.592606i 0.0482333 0.0604826i
\(97\) −0.135023 −0.0137096 −0.00685478 0.999977i \(-0.502182\pi\)
−0.00685478 + 0.999977i \(0.502182\pi\)
\(98\) 16.1497 + 0.878229i 1.63137 + 0.0887145i
\(99\) 13.3942 1.34617
\(100\) 28.5143 35.7558i 2.85143 3.57558i
\(101\) 15.0833 + 7.26374i 1.50085 + 0.722770i 0.990540 0.137223i \(-0.0438178\pi\)
0.510306 + 0.859993i \(0.329532\pi\)
\(102\) −0.137674 0.603191i −0.0136318 0.0597248i
\(103\) −5.17615 2.49270i −0.510021 0.245613i 0.161131 0.986933i \(-0.448486\pi\)
−0.671152 + 0.741320i \(0.734200\pi\)
\(104\) 2.78627 1.34180i 0.273216 0.131574i
\(105\) −1.66647 + 0.333017i −0.162631 + 0.0324992i
\(106\) 13.2783 + 6.39450i 1.28970 + 0.621088i
\(107\) −4.51808 5.66550i −0.436780 0.547704i 0.513912 0.857843i \(-0.328196\pi\)
−0.950691 + 0.310139i \(0.899624\pi\)
\(108\) 2.67085 1.28621i 0.257003 0.123766i
\(109\) 1.60875 2.01731i 0.154091 0.193224i −0.698794 0.715323i \(-0.746280\pi\)
0.852885 + 0.522099i \(0.174851\pi\)
\(110\) −9.99975 + 43.8118i −0.953439 + 4.17729i
\(111\) 0.298794 0.374676i 0.0283603 0.0355627i
\(112\) 0.0336581 1.23879i 0.00318039 0.117055i
\(113\) 8.81749 + 11.0568i 0.829480 + 1.04013i 0.998512 + 0.0545244i \(0.0173643\pi\)
−0.169033 + 0.985610i \(0.554064\pi\)
\(114\) −0.0714829 + 0.0344244i −0.00669499 + 0.00322414i
\(115\) −5.51949 + 24.1825i −0.514695 + 2.25503i
\(116\) 17.8756 1.65971
\(117\) −2.97794 −0.275310
\(118\) −0.0540821 + 0.236949i −0.00497866 + 0.0218129i
\(119\) 3.64687 + 3.07397i 0.334308 + 0.281791i
\(120\) 0.442013 + 1.93659i 0.0403501 + 0.176785i
\(121\) −2.05394 8.99891i −0.186722 0.818083i
\(122\) −16.3999 20.5648i −1.48477 1.86185i
\(123\) −0.689036 0.864024i −0.0621283 0.0779064i
\(124\) −5.15582 22.5891i −0.463006 2.02856i
\(125\) −8.37041 36.6732i −0.748673 3.28015i
\(126\) −8.34107 + 16.1809i −0.743082 + 1.44151i
\(127\) 4.56453 19.9985i 0.405036 1.77458i −0.201464 0.979496i \(-0.564570\pi\)
0.606500 0.795084i \(-0.292573\pi\)
\(128\) 19.2000 1.69706
\(129\) −0.0287502 −0.00253131
\(130\) 2.22325 9.74068i 0.194992 0.854314i
\(131\) 8.21716 3.95718i 0.717937 0.345740i −0.0389901 0.999240i \(-0.512414\pi\)
0.756927 + 0.653499i \(0.226700\pi\)
\(132\) −1.39066 1.74383i −0.121041 0.151781i
\(133\) 0.280247 0.543652i 0.0243005 0.0471406i
\(134\) −2.89967 + 3.63608i −0.250494 + 0.314109i
\(135\) 0.854424 3.74348i 0.0735371 0.322187i
\(136\) 3.47596 4.35871i 0.298061 0.373756i
\(137\) −16.7247 + 8.05418i −1.42889 + 0.688115i −0.978790 0.204865i \(-0.934324\pi\)
−0.450096 + 0.892980i \(0.648610\pi\)
\(138\) −1.22744 1.53916i −0.104486 0.131022i
\(139\) 16.3375 + 7.86771i 1.38573 + 0.667330i 0.970212 0.242256i \(-0.0778875\pi\)
0.415514 + 0.909587i \(0.363602\pi\)
\(140\) −29.2041 24.6163i −2.46819 2.08046i
\(141\) −0.938885 + 0.452143i −0.0790684 + 0.0380773i
\(142\) 7.66501 + 3.69127i 0.643233 + 0.309765i
\(143\) 1.00086 + 4.38504i 0.0836959 + 0.366696i
\(144\) 1.25671 + 0.605198i 0.104726 + 0.0504331i
\(145\) 14.4362 18.1024i 1.19886 1.50332i
\(146\) 22.4751 1.86005
\(147\) 0.175986 + 1.02478i 0.0145151 + 0.0845221i
\(148\) 10.7708 0.885351
\(149\) 4.59317 5.75966i 0.376287 0.471849i −0.557242 0.830350i \(-0.688140\pi\)
0.933529 + 0.358501i \(0.116712\pi\)
\(150\) 4.23592 + 2.03991i 0.345861 + 0.166558i
\(151\) −4.55036 19.9364i −0.370303 1.62240i −0.725925 0.687774i \(-0.758588\pi\)
0.355622 0.934630i \(-0.384269\pi\)
\(152\) −0.644117 0.310191i −0.0522448 0.0251598i
\(153\) −4.83679 + 2.32927i −0.391031 + 0.188311i
\(154\) 26.6299 + 6.84408i 2.14590 + 0.551511i
\(155\) −27.0395 13.0216i −2.17187 1.04592i
\(156\) 0.309185 + 0.387705i 0.0247546 + 0.0310413i
\(157\) 21.0644 10.1441i 1.68112 0.809584i 0.684360 0.729144i \(-0.260082\pi\)
0.996759 0.0804402i \(-0.0256326\pi\)
\(158\) −5.99214 + 7.51390i −0.476709 + 0.597774i
\(159\) −0.210833 + 0.923719i −0.0167201 + 0.0732557i
\(160\) 13.7578 17.2517i 1.08765 1.36387i
\(161\) 14.6987 + 3.77768i 1.15842 + 0.297723i
\(162\) −12.6799 15.9000i −0.996223 1.24922i
\(163\) −1.49618 + 0.720522i −0.117190 + 0.0564356i −0.491560 0.870844i \(-0.663573\pi\)
0.374370 + 0.927279i \(0.377859\pi\)
\(164\) 5.52697 24.2152i 0.431584 1.89089i
\(165\) −2.88903 −0.224911
\(166\) −3.89679 −0.302450
\(167\) −0.109217 + 0.478509i −0.00845144 + 0.0370282i −0.978978 0.203967i \(-0.934617\pi\)
0.970526 + 0.240995i \(0.0774737\pi\)
\(168\) 1.19180 0.238161i 0.0919490 0.0183745i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −4.00792 17.5599i −0.307394 1.34678i
\(171\) 0.429227 + 0.538233i 0.0328238 + 0.0411597i
\(172\) −0.402878 0.505193i −0.0307192 0.0385206i
\(173\) 3.25482 + 14.2603i 0.247459 + 1.08419i 0.934049 + 0.357145i \(0.116250\pi\)
−0.686590 + 0.727045i \(0.740893\pi\)
\(174\) 0.408918 + 1.79159i 0.0310000 + 0.135820i
\(175\) −35.5413 + 7.10237i −2.68667 + 0.536889i
\(176\) 0.468793 2.05392i 0.0353366 0.154820i
\(177\) −0.0156249 −0.00117444
\(178\) 12.1347 0.909535
\(179\) −4.84327 + 21.2197i −0.362003 + 1.58604i 0.386102 + 0.922456i \(0.373821\pi\)
−0.748104 + 0.663581i \(0.769036\pi\)
\(180\) 38.7329 18.6528i 2.88698 1.39030i
\(181\) 8.85108 + 11.0989i 0.657896 + 0.824975i 0.993112 0.117166i \(-0.0373809\pi\)
−0.335216 + 0.942141i \(0.608809\pi\)
\(182\) −5.92063 1.52164i −0.438866 0.112792i
\(183\) 1.05433 1.32208i 0.0779380 0.0977312i
\(184\) 3.94733 17.2944i 0.291001 1.27496i
\(185\) 8.69838 10.9074i 0.639517 0.801929i
\(186\) 2.14606 1.03349i 0.157356 0.0757789i
\(187\) 5.05548 + 6.33938i 0.369694 + 0.463581i
\(188\) −21.1016 10.1620i −1.53899 0.741140i
\(189\) −2.27538 0.584789i −0.165509 0.0425371i
\(190\) −2.08098 + 1.00215i −0.150970 + 0.0727035i
\(191\) −10.7650 5.18413i −0.778925 0.375110i 0.00178962 0.999998i \(-0.499430\pi\)
−0.780714 + 0.624888i \(0.785145\pi\)
\(192\) 0.420665 + 1.84305i 0.0303589 + 0.133011i
\(193\) 10.8949 + 5.24671i 0.784232 + 0.377666i 0.782753 0.622333i \(-0.213815\pi\)
0.00147919 + 0.999999i \(0.499529\pi\)
\(194\) 0.194512 0.243910i 0.0139652 0.0175117i
\(195\) 0.642320 0.0459975
\(196\) −15.5411 + 17.4527i −1.11008 + 1.24662i
\(197\) −4.32451 −0.308109 −0.154054 0.988062i \(-0.549233\pi\)
−0.154054 + 0.988062i \(0.549233\pi\)
\(198\) −19.2954 + 24.1957i −1.37127 + 1.71951i
\(199\) −1.81617 0.874619i −0.128745 0.0620001i 0.368403 0.929666i \(-0.379905\pi\)
−0.497147 + 0.867666i \(0.665619\pi\)
\(200\) 9.42696 + 41.3022i 0.666587 + 2.92051i
\(201\) −0.269379 0.129726i −0.0190005 0.00915018i
\(202\) −34.8502 + 16.7830i −2.45205 + 1.18084i
\(203\) −10.8319 9.13026i −0.760248 0.640819i
\(204\) 0.805434 + 0.387877i 0.0563917 + 0.0271568i
\(205\) −20.0590 25.1531i −1.40098 1.75677i
\(206\) 11.9596 5.75942i 0.833261 0.401278i
\(207\) −10.6504 + 13.3551i −0.740251 + 0.928246i
\(208\) −0.104227 + 0.456648i −0.00722683 + 0.0316628i
\(209\) 0.648296 0.812937i 0.0448435 0.0562320i
\(210\) 1.79911 3.49010i 0.124150 0.240840i
\(211\) 6.56748 + 8.23536i 0.452124 + 0.566946i 0.954693 0.297591i \(-0.0961833\pi\)
−0.502569 + 0.864537i \(0.667612\pi\)
\(212\) −19.1858 + 9.23942i −1.31769 + 0.634566i
\(213\) −0.121705 + 0.533224i −0.00833908 + 0.0365359i
\(214\) 16.7430 1.14453
\(215\) −0.836964 −0.0570805
\(216\) −0.611051 + 2.67719i −0.0415768 + 0.182160i
\(217\) −8.41355 + 16.3215i −0.571149 + 1.10797i
\(218\) 1.32660 + 5.81220i 0.0898485 + 0.393652i
\(219\) 0.321519 + 1.40867i 0.0217262 + 0.0951888i
\(220\) −40.4842 50.7656i −2.72944 3.42262i
\(221\) −1.12399 1.40943i −0.0756075 0.0948088i
\(222\) 0.246389 + 1.07950i 0.0165366 + 0.0724514i
\(223\) 2.03474 + 8.91476i 0.136256 + 0.596976i 0.996239 + 0.0866530i \(0.0276171\pi\)
−0.859983 + 0.510323i \(0.829526\pi\)
\(224\) −10.3228 8.70120i −0.689724 0.581373i
\(225\) 9.07766 39.7718i 0.605177 2.65145i
\(226\) −32.6756 −2.17355
\(227\) 23.8252 1.58133 0.790667 0.612247i \(-0.209734\pi\)
0.790667 + 0.612247i \(0.209734\pi\)
\(228\) 0.0255095 0.111764i 0.00168941 0.00740177i
\(229\) 1.51910 0.731561i 0.100385 0.0483429i −0.383017 0.923741i \(-0.625115\pi\)
0.483402 + 0.875398i \(0.339401\pi\)
\(230\) −35.7327 44.8074i −2.35614 2.95451i
\(231\) −0.0480093 + 1.76698i −0.00315878 + 0.116259i
\(232\) −10.3242 + 12.9462i −0.677818 + 0.849957i
\(233\) −4.15501 + 18.2043i −0.272204 + 1.19260i 0.635202 + 0.772346i \(0.280917\pi\)
−0.907406 + 0.420256i \(0.861940\pi\)
\(234\) 4.28995 5.37943i 0.280443 0.351665i
\(235\) −27.3324 + 13.1626i −1.78297 + 0.858634i
\(236\) −0.218952 0.274558i −0.0142526 0.0178722i
\(237\) −0.556669 0.268077i −0.0361595 0.0174135i
\(238\) −10.8065 + 2.15951i −0.700483 + 0.139980i
\(239\) 14.7199 7.08871i 0.952148 0.458531i 0.107710 0.994182i \(-0.465648\pi\)
0.844439 + 0.535652i \(0.179934\pi\)
\(240\) −0.271063 0.130537i −0.0174970 0.00842612i
\(241\) −4.00209 17.5343i −0.257797 1.12948i −0.923601 0.383356i \(-0.874768\pi\)
0.665803 0.746127i \(-0.268089\pi\)
\(242\) 19.2148 + 9.25335i 1.23517 + 0.594828i
\(243\) 2.47607 3.10490i 0.158840 0.199179i
\(244\) 38.0057 2.43307
\(245\) 5.12325 + 29.8329i 0.327312 + 1.90595i
\(246\) 2.55341 0.162800
\(247\) −0.144136 + 0.180740i −0.00917113 + 0.0115002i
\(248\) 19.3376 + 9.31252i 1.22794 + 0.591346i
\(249\) −0.0557459 0.244239i −0.00353275 0.0154780i
\(250\) 78.3058 + 37.7101i 4.95249 + 2.38499i
\(251\) 19.8614 9.56475i 1.25364 0.603722i 0.315156 0.949040i \(-0.397943\pi\)
0.938486 + 0.345318i \(0.112229\pi\)
\(252\) −10.7647 23.9997i −0.678113 1.51184i
\(253\) 23.2451 + 11.1942i 1.46141 + 0.703776i
\(254\) 29.5503 + 37.0549i 1.85415 + 2.32503i
\(255\) 1.04326 0.502408i 0.0653315 0.0314620i
\(256\) −11.7890 + 14.7829i −0.736810 + 0.923930i
\(257\) 0.0723983 0.317198i 0.00451608 0.0197863i −0.972620 0.232403i \(-0.925341\pi\)
0.977136 + 0.212616i \(0.0681985\pi\)
\(258\) 0.0414169 0.0519352i 0.00257851 0.00323334i
\(259\) −6.52662 5.50134i −0.405545 0.341837i
\(260\) 9.00086 + 11.2867i 0.558210 + 0.699973i
\(261\) 14.3661 6.91837i 0.889242 0.428236i
\(262\) −4.68912 + 20.5444i −0.289695 + 1.26923i
\(263\) −12.5764 −0.775494 −0.387747 0.921766i \(-0.626747\pi\)
−0.387747 + 0.921766i \(0.626747\pi\)
\(264\) 2.06613 0.127161
\(265\) −6.13769 + 26.8910i −0.377035 + 1.65190i
\(266\) 0.578351 + 1.28942i 0.0354610 + 0.0790594i
\(267\) 0.173594 + 0.760565i 0.0106238 + 0.0465458i
\(268\) −1.49530 6.55134i −0.0913401 0.400187i
\(269\) 7.73245 + 9.69619i 0.471456 + 0.591187i 0.959527 0.281617i \(-0.0908707\pi\)
−0.488071 + 0.872804i \(0.662299\pi\)
\(270\) 5.53146 + 6.93623i 0.336634 + 0.422126i
\(271\) 2.46573 + 10.8031i 0.149782 + 0.656239i 0.992945 + 0.118580i \(0.0378341\pi\)
−0.843162 + 0.537659i \(0.819309\pi\)
\(272\) 0.187893 + 0.823214i 0.0113927 + 0.0499147i
\(273\) 0.0106739 0.392854i 0.000646015 0.0237766i
\(274\) 9.54392 41.8147i 0.576569 2.52612i
\(275\) −61.6154 −3.71555
\(276\) 2.84451 0.171220
\(277\) 6.39246 28.0072i 0.384086 1.68279i −0.300439 0.953801i \(-0.597133\pi\)
0.684525 0.728990i \(-0.260010\pi\)
\(278\) −37.7479 + 18.1784i −2.26397 + 1.09027i
\(279\) −12.8862 16.1588i −0.771478 0.967402i
\(280\) 34.6951 6.93326i 2.07343 0.414342i
\(281\) −16.7191 + 20.9651i −0.997376 + 1.25067i −0.0294158 + 0.999567i \(0.509365\pi\)
−0.967960 + 0.251103i \(0.919207\pi\)
\(282\) 0.535774 2.34738i 0.0319049 0.139784i
\(283\) 7.04089 8.82899i 0.418537 0.524829i −0.527209 0.849736i \(-0.676761\pi\)
0.945746 + 0.324907i \(0.105333\pi\)
\(284\) −11.0752 + 5.33352i −0.657191 + 0.316486i
\(285\) −0.0925812 0.116093i −0.00548404 0.00687676i
\(286\) −9.36309 4.50903i −0.553651 0.266624i
\(287\) −15.7174 + 11.8504i −0.927771 + 0.699508i
\(288\) 13.6910 6.59325i 0.806751 0.388511i
\(289\) 12.3885 + 5.96597i 0.728733 + 0.350939i
\(290\) 11.9043 + 52.1560i 0.699042 + 3.06270i
\(291\) 0.0180701 + 0.00870212i 0.00105929 + 0.000510127i
\(292\) −20.2474 + 25.3894i −1.18489 + 1.48580i
\(293\) −12.0941 −0.706546 −0.353273 0.935520i \(-0.614931\pi\)
−0.353273 + 0.935520i \(0.614931\pi\)
\(294\) −2.10471 1.15837i −0.122749 0.0675572i
\(295\) −0.454866 −0.0264833
\(296\) −6.22075 + 7.80057i −0.361574 + 0.453399i
\(297\) −3.59836 1.73288i −0.208798 0.100552i
\(298\) 3.78758 + 16.5945i 0.219409 + 0.961293i
\(299\) −5.16808 2.48882i −0.298878 0.143932i
\(300\) −6.12049 + 2.94747i −0.353366 + 0.170172i
\(301\) −0.0139085 + 0.511902i −0.000801671 + 0.0295055i
\(302\) 42.5689 + 20.5001i 2.44957 + 1.17965i
\(303\) −1.55045 1.94421i −0.0890713 0.111692i
\(304\) 0.0975575 0.0469812i 0.00559531 0.00269456i
\(305\) 30.6931 38.4880i 1.75748 2.20381i
\(306\) 2.76011 12.0928i 0.157785 0.691301i
\(307\) −7.71206 + 9.67062i −0.440150 + 0.551931i −0.951583 0.307392i \(-0.900544\pi\)
0.511432 + 0.859324i \(0.329115\pi\)
\(308\) −31.7219 + 23.9172i −1.80752 + 1.36281i
\(309\) 0.532070 + 0.667195i 0.0302684 + 0.0379554i
\(310\) 62.4751 30.0864i 3.54835 1.70880i
\(311\) 3.79934 16.6460i 0.215441 0.943907i −0.745359 0.666663i \(-0.767722\pi\)
0.960800 0.277244i \(-0.0894210\pi\)
\(312\) −0.459363 −0.0260063
\(313\) −16.6628 −0.941835 −0.470918 0.882177i \(-0.656077\pi\)
−0.470918 + 0.882177i \(0.656077\pi\)
\(314\) −12.0204 + 52.6646i −0.678348 + 2.97204i
\(315\) −32.9977 8.48066i −1.85921 0.477831i
\(316\) −3.09002 13.5383i −0.173827 0.761587i
\(317\) 6.04908 + 26.5028i 0.339750 + 1.48854i 0.799593 + 0.600543i \(0.205049\pi\)
−0.459842 + 0.888001i \(0.652094\pi\)
\(318\) −1.36491 1.71155i −0.0765405 0.0959787i
\(319\) −15.0157 18.8291i −0.840718 1.05423i
\(320\) 12.2462 + 53.6543i 0.684586 + 2.99937i
\(321\) 0.239518 + 1.04940i 0.0133686 + 0.0585716i
\(322\) −27.9988 + 21.1101i −1.56031 + 1.17642i
\(323\) −0.0927353 + 0.406300i −0.00515993 + 0.0226071i
\(324\) 29.3848 1.63249
\(325\) 13.6990 0.759882
\(326\) 0.853793 3.74071i 0.0472872 0.207179i
\(327\) −0.345313 + 0.166294i −0.0190958 + 0.00919607i
\(328\) 14.3454 + 17.9886i 0.792092 + 0.993252i
\(329\) 7.59628 + 16.9357i 0.418797 + 0.933698i
\(330\) 4.16188 5.21884i 0.229104 0.287288i
\(331\) −6.16957 + 27.0306i −0.339110 + 1.48574i 0.461816 + 0.886975i \(0.347198\pi\)
−0.800927 + 0.598763i \(0.795659\pi\)
\(332\) 3.51055 4.40209i 0.192666 0.241596i
\(333\) 8.65616 4.16859i 0.474355 0.228437i
\(334\) −0.707058 0.886623i −0.0386885 0.0485139i
\(335\) −7.84206 3.77654i −0.428458 0.206334i
\(336\) −0.0843431 + 0.163617i −0.00460129 + 0.00892606i
\(337\) 1.96743 0.947463i 0.107173 0.0516116i −0.379529 0.925180i \(-0.623914\pi\)
0.486702 + 0.873568i \(0.338200\pi\)
\(338\) 2.08170 + 1.00249i 0.113229 + 0.0545284i
\(339\) −0.467443 2.04800i −0.0253880 0.111232i
\(340\) 23.4475 + 11.2917i 1.27162 + 0.612379i
\(341\) −19.4631 + 24.4059i −1.05399 + 1.32166i
\(342\) −1.59062 −0.0860107
\(343\) 18.3315 2.63771i 0.989806 0.142423i
\(344\) 0.598565 0.0322725
\(345\) 2.29721 2.88061i 0.123677 0.155087i
\(346\) −30.4490 14.6635i −1.63695 0.788313i
\(347\) −5.91661 25.9224i −0.317620 1.39159i −0.841713 0.539925i \(-0.818453\pi\)
0.524093 0.851661i \(-0.324405\pi\)
\(348\) −2.39229 1.15206i −0.128240 0.0617572i
\(349\) −13.6211 + 6.55959i −0.729122 + 0.351127i −0.761339 0.648354i \(-0.775458\pi\)
0.0322168 + 0.999481i \(0.489743\pi\)
\(350\) 38.3702 74.4345i 2.05097 3.97869i
\(351\) 0.800025 + 0.385272i 0.0427022 + 0.0205643i
\(352\) −14.3101 17.9443i −0.762729 0.956432i
\(353\) 18.8514 9.07834i 1.00336 0.483191i 0.141280 0.989970i \(-0.454878\pi\)
0.862076 + 0.506779i \(0.169164\pi\)
\(354\) 0.0225089 0.0282253i 0.00119633 0.00150016i
\(355\) −3.54303 + 15.5230i −0.188044 + 0.823876i
\(356\) −10.9319 + 13.7082i −0.579391 + 0.726533i
\(357\) −0.289945 0.646426i −0.0153455 0.0342125i
\(358\) −31.3549 39.3177i −1.65716 2.07801i
\(359\) 22.6490 10.9072i 1.19537 0.575660i 0.273018 0.962009i \(-0.411978\pi\)
0.922353 + 0.386349i \(0.126264\pi\)
\(360\) −8.86152 + 38.8248i −0.467043 + 2.04625i
\(361\) −18.9466 −0.997187
\(362\) −32.8001 −1.72393
\(363\) −0.305092 + 1.33670i −0.0160132 + 0.0701583i
\(364\) 7.05274 5.31753i 0.369664 0.278714i
\(365\) 9.35993 + 41.0085i 0.489921 + 2.14648i
\(366\) 0.869409 + 3.80913i 0.0454448 + 0.199106i
\(367\) 8.45549 + 10.6028i 0.441373 + 0.553464i 0.951905 0.306395i \(-0.0991228\pi\)
−0.510532 + 0.859859i \(0.670551\pi\)
\(368\) 1.67516 + 2.10059i 0.0873240 + 0.109501i
\(369\) −4.93011 21.6002i −0.256651 1.12446i
\(370\) 7.17278 + 31.4260i 0.372895 + 1.63376i
\(371\) 16.3450 + 4.20078i 0.848590 + 0.218094i
\(372\) −0.765844 + 3.35538i −0.0397072 + 0.173968i
\(373\) −22.9102 −1.18624 −0.593122 0.805113i \(-0.702105\pi\)
−0.593122 + 0.805113i \(0.702105\pi\)
\(374\) −18.7345 −0.968736
\(375\) −1.24334 + 5.44742i −0.0642057 + 0.281304i
\(376\) 19.5471 9.41340i 1.00807 0.485459i
\(377\) 3.33845 + 4.18628i 0.171939 + 0.215604i
\(378\) 4.33424 3.26787i 0.222929 0.168081i
\(379\) −8.94428 + 11.2158i −0.459437 + 0.576116i −0.956549 0.291570i \(-0.905822\pi\)
0.497112 + 0.867686i \(0.334394\pi\)
\(380\) 0.742622 3.25364i 0.0380957 0.166908i
\(381\) −1.89975 + 2.38221i −0.0973272 + 0.122044i
\(382\) 24.8725 11.9780i 1.27259 0.612847i
\(383\) 13.0019 + 16.3039i 0.664368 + 0.833091i 0.993811 0.111084i \(-0.0354323\pi\)
−0.329443 + 0.944176i \(0.606861\pi\)
\(384\) −2.56953 1.23742i −0.131126 0.0631469i
\(385\) −1.39763 + 51.4398i −0.0712297 + 2.62161i
\(386\) −25.1728 + 12.1226i −1.28126 + 0.617023i
\(387\) −0.519306 0.250085i −0.0263978 0.0127125i
\(388\) 0.100306 + 0.439469i 0.00509226 + 0.0223106i
\(389\) −11.7492 5.65811i −0.595708 0.286878i 0.111634 0.993749i \(-0.464392\pi\)
−0.707342 + 0.706872i \(0.750106\pi\)
\(390\) −0.925313 + 1.16031i −0.0468550 + 0.0587543i
\(391\) −10.3407 −0.522953
\(392\) −3.66395 21.3353i −0.185057 1.07760i
\(393\) −1.35474 −0.0683374
\(394\) 6.22980 7.81192i 0.313853 0.393559i
\(395\) −16.2055 7.80417i −0.815388 0.392670i
\(396\) −9.95025 43.5949i −0.500019 2.19072i
\(397\) −2.56410 1.23481i −0.128689 0.0619732i 0.368432 0.929655i \(-0.379895\pi\)
−0.497120 + 0.867682i \(0.665609\pi\)
\(398\) 4.19627 2.02082i 0.210340 0.101294i
\(399\) −0.0725431 + 0.0546951i −0.00363170 + 0.00273818i
\(400\) −5.78104 2.78400i −0.289052 0.139200i
\(401\) −2.11956 2.65784i −0.105846 0.132726i 0.726087 0.687603i \(-0.241337\pi\)
−0.831933 + 0.554877i \(0.812765\pi\)
\(402\) 0.622404 0.299734i 0.0310427 0.0149494i
\(403\) 4.32723 5.42618i 0.215555 0.270297i
\(404\) 12.4367 54.4886i 0.618747 2.71091i
\(405\) 23.7309 29.7577i 1.17920 1.47867i
\(406\) 32.0973 6.41414i 1.59296 0.318329i
\(407\) −9.04755 11.3453i −0.448470 0.562364i
\(408\) −0.746100 + 0.359303i −0.0369375 + 0.0177881i
\(409\) −2.45318 + 10.7481i −0.121302 + 0.531459i 0.877364 + 0.479825i \(0.159300\pi\)
−0.998666 + 0.0516338i \(0.983557\pi\)
\(410\) 74.3339 3.67109
\(411\) 2.75734 0.136010
\(412\) −4.26790 + 18.6989i −0.210264 + 0.921228i
\(413\) −0.00755885 + 0.278204i −0.000371946 + 0.0136895i
\(414\) −8.78241 38.4783i −0.431632 1.89110i
\(415\) −1.62285 7.11018i −0.0796627 0.349025i
\(416\) 3.18156 + 3.98955i 0.155989 + 0.195604i
\(417\) −1.67937 2.10587i −0.0822392 0.103125i
\(418\) 0.534592 + 2.34220i 0.0261478 + 0.114561i
\(419\) −3.08410 13.5123i −0.150668 0.660120i −0.992692 0.120679i \(-0.961493\pi\)
0.842023 0.539441i \(-0.181364\pi\)
\(420\) 2.32187 + 5.17656i 0.113296 + 0.252590i
\(421\) −3.91778 + 17.1649i −0.190941 + 0.836567i 0.785168 + 0.619283i \(0.212577\pi\)
−0.976109 + 0.217283i \(0.930280\pi\)
\(422\) −24.3376 −1.18473
\(423\) −20.8918 −1.01579
\(424\) 4.38944 19.2314i 0.213170 0.933959i
\(425\) 22.2500 10.7150i 1.07928 0.519755i
\(426\) −0.787906 0.988003i −0.0381742 0.0478689i
\(427\) −23.0299 19.4120i −1.11449 0.939414i
\(428\) −15.0834 + 18.9140i −0.729085 + 0.914244i
\(429\) 0.148667 0.651353i 0.00717772 0.0314476i
\(430\) 1.20571 1.51192i 0.0581447 0.0729111i
\(431\) 10.4849 5.04927i 0.505041 0.243215i −0.163973 0.986465i \(-0.552431\pi\)
0.669014 + 0.743250i \(0.266717\pi\)
\(432\) −0.259317 0.325174i −0.0124764 0.0156449i
\(433\) −17.0152 8.19410i −0.817699 0.393783i −0.0222118 0.999753i \(-0.507071\pi\)
−0.795487 + 0.605970i \(0.792785\pi\)
\(434\) −17.3632 38.7109i −0.833461 1.85818i
\(435\) −3.09867 + 1.49224i −0.148570 + 0.0715476i
\(436\) −7.76097 3.73749i −0.371683 0.178993i
\(437\) 0.295075 + 1.29281i 0.0141154 + 0.0618434i
\(438\) −3.00783 1.44849i −0.143720 0.0692117i
\(439\) 5.98661 7.50697i 0.285725 0.358288i −0.618168 0.786046i \(-0.712125\pi\)
0.903893 + 0.427758i \(0.140696\pi\)
\(440\) 60.1483 2.86746
\(441\) −5.73527 + 20.0411i −0.273108 + 0.954336i
\(442\) 4.16524 0.198120
\(443\) 12.9880 16.2864i 0.617077 0.773791i −0.370853 0.928692i \(-0.620934\pi\)
0.987930 + 0.154901i \(0.0495059\pi\)
\(444\) −1.44145 0.694164i −0.0684080 0.0329436i
\(445\) 5.05360 + 22.1413i 0.239564 + 1.04960i
\(446\) −19.0351 9.16681i −0.901337 0.434061i
\(447\) −0.985906 + 0.474787i −0.0466318 + 0.0224567i
\(448\) 33.0194 6.59840i 1.56002 0.311745i
\(449\) 7.92320 + 3.81561i 0.373919 + 0.180070i 0.611399 0.791323i \(-0.290607\pi\)
−0.237480 + 0.971392i \(0.576321\pi\)
\(450\) 58.7679 + 73.6926i 2.77035 + 3.47390i
\(451\) −30.1496 + 14.5193i −1.41969 + 0.683686i
\(452\) 29.4368 36.9126i 1.38459 1.73622i
\(453\) −0.675909 + 2.96135i −0.0317570 + 0.139136i
\(454\) −34.3221 + 43.0385i −1.61082 + 2.01990i
\(455\) 0.310735 11.4366i 0.0145675 0.536157i
\(456\) 0.0662105 + 0.0830254i 0.00310059 + 0.00388802i
\(457\) 14.5018 6.98372i 0.678367 0.326684i −0.0627796 0.998027i \(-0.519997\pi\)
0.741147 + 0.671343i \(0.234282\pi\)
\(458\) −0.866874 + 3.79802i −0.0405064 + 0.177470i
\(459\) 1.60076 0.0747170
\(460\) 82.8084 3.86096
\(461\) 4.88288 21.3933i 0.227418 0.996384i −0.724318 0.689466i \(-0.757845\pi\)
0.951736 0.306918i \(-0.0992977\pi\)
\(462\) −3.12277 2.63221i −0.145285 0.122461i
\(463\) −0.618720 2.71079i −0.0287544 0.125981i 0.958514 0.285047i \(-0.0920091\pi\)
−0.987268 + 0.159065i \(0.949152\pi\)
\(464\) −0.558077 2.44510i −0.0259081 0.113511i
\(465\) 2.77947 + 3.48534i 0.128895 + 0.161629i
\(466\) −26.8991 33.7304i −1.24608 1.56253i
\(467\) 4.88680 + 21.4105i 0.226134 + 0.990759i 0.952760 + 0.303725i \(0.0982304\pi\)
−0.726625 + 0.687034i \(0.758912\pi\)
\(468\) 2.21224 + 9.69246i 0.102261 + 0.448034i
\(469\) −2.44012 + 4.73359i −0.112674 + 0.218577i
\(470\) 15.5972 68.3359i 0.719447 3.15210i
\(471\) −3.47281 −0.160019
\(472\) 0.325303 0.0149733
\(473\) −0.193718 + 0.848735i −0.00890717 + 0.0390249i
\(474\) 1.28619 0.619396i 0.0590766 0.0284498i
\(475\) −1.97451 2.47596i −0.0905967 0.113605i
\(476\) 7.29586 14.1533i 0.334405 0.648714i
\(477\) −11.8432 + 14.8509i −0.542264 + 0.679977i
\(478\) −8.39987 + 36.8022i −0.384201 + 1.68330i
\(479\) −3.28547 + 4.11985i −0.150117 + 0.188241i −0.851204 0.524835i \(-0.824127\pi\)
0.701087 + 0.713076i \(0.252698\pi\)
\(480\) −2.95306 + 1.42212i −0.134788 + 0.0649105i
\(481\) 2.01154 + 2.52240i 0.0917185 + 0.115011i
\(482\) 37.4398 + 18.0301i 1.70534 + 0.821247i
\(483\) −1.72366 1.45288i −0.0784290 0.0661084i
\(484\) −27.7634 + 13.3702i −1.26197 + 0.607735i
\(485\) 0.526051 + 0.253333i 0.0238867 + 0.0115032i
\(486\) 2.04180 + 8.94571i 0.0926179 + 0.405786i
\(487\) −19.5125 9.39671i −0.884195 0.425806i −0.0640399 0.997947i \(-0.520399\pi\)
−0.820155 + 0.572142i \(0.806113\pi\)
\(488\) −21.9506 + 27.5251i −0.993655 + 1.24600i
\(489\) 0.246670 0.0111548
\(490\) −61.2715 33.7219i −2.76796 1.52340i
\(491\) 30.9267 1.39570 0.697850 0.716244i \(-0.254140\pi\)
0.697850 + 0.716244i \(0.254140\pi\)
\(492\) −2.30032 + 2.88451i −0.103706 + 0.130044i
\(493\) 8.69674 + 4.18813i 0.391682 + 0.188624i
\(494\) −0.118856 0.520742i −0.00534758 0.0234293i
\(495\) −52.1838 25.1304i −2.34549 1.12953i
\(496\) −2.92886 + 1.41047i −0.131510 + 0.0633318i
\(497\) 9.43527 + 2.42494i 0.423230 + 0.108773i
\(498\) 0.521507 + 0.251144i 0.0233693 + 0.0112540i
\(499\) 2.31174 + 2.89883i 0.103488 + 0.129769i 0.830878 0.556454i \(-0.187839\pi\)
−0.727391 + 0.686224i \(0.759267\pi\)
\(500\) −113.144 + 54.4873i −5.05996 + 2.43675i
\(501\) 0.0454558 0.0569998i 0.00203082 0.00254656i
\(502\) −11.3339 + 49.6570i −0.505857 + 2.21630i
\(503\) 22.5903 28.3273i 1.00725 1.26305i 0.0427186 0.999087i \(-0.486398\pi\)
0.964532 0.263965i \(-0.0850305\pi\)
\(504\) 23.5987 + 6.06504i 1.05117 + 0.270158i
\(505\) −45.1362 56.5990i −2.00854 2.51862i
\(506\) −53.7080 + 25.8644i −2.38761 + 1.14981i
\(507\) −0.0330532 + 0.144815i −0.00146794 + 0.00643148i
\(508\) −68.4811 −3.03836
\(509\) 31.0133 1.37464 0.687319 0.726356i \(-0.258787\pi\)
0.687319 + 0.726356i \(0.258787\pi\)
\(510\) −0.595336 + 2.60834i −0.0263619 + 0.115499i
\(511\) 25.2371 5.04323i 1.11642 0.223099i
\(512\) −1.17650 5.15458i −0.0519944 0.227802i
\(513\) −0.0456780 0.200128i −0.00201673 0.00883588i
\(514\) 0.468700 + 0.587731i 0.0206735 + 0.0259237i
\(515\) 15.4894 + 19.4231i 0.682545 + 0.855885i
\(516\) 0.0213579 + 0.0935749i 0.000940227 + 0.00411940i
\(517\) 7.02154 + 30.7634i 0.308807 + 1.35297i
\(518\) 19.3399 3.86477i 0.849747 0.169808i
\(519\) 0.483469 2.11822i 0.0212220 0.0929794i
\(520\) −13.3728 −0.586435
\(521\) 35.1386 1.53945 0.769725 0.638375i \(-0.220393\pi\)
0.769725 + 0.638375i \(0.220393\pi\)
\(522\) −8.19802 + 35.9179i −0.358818 + 1.57208i
\(523\) −19.0156 + 9.15744i −0.831495 + 0.400427i −0.800676 0.599098i \(-0.795526\pi\)
−0.0308191 + 0.999525i \(0.509812\pi\)
\(524\) −18.9840 23.8052i −0.829320 1.03993i
\(525\) 5.21422 + 1.34009i 0.227567 + 0.0584865i
\(526\) 18.1173 22.7184i 0.789952 0.990568i
\(527\) 2.78409 12.1979i 0.121277 0.531349i
\(528\) −0.195111 + 0.244662i −0.00849112 + 0.0106475i
\(529\) −8.92255 + 4.29687i −0.387937 + 0.186821i
\(530\) −39.7348 49.8259i −1.72597 2.16430i
\(531\) −0.282228 0.135914i −0.0122476 0.00589815i
\(532\) −1.97764 0.508269i −0.0857417 0.0220363i
\(533\) 6.70317 3.22808i 0.290346 0.139823i
\(534\) −1.62398 0.782069i −0.0702766 0.0338434i
\(535\) 6.97276 + 30.5496i 0.301459 + 1.32078i
\(536\) 5.60834 + 2.70084i 0.242244 + 0.116658i
\(537\) 2.01576 2.52769i 0.0869865 0.109078i
\(538\) −28.6547 −1.23539
\(539\) 31.4382 + 1.70963i 1.35414 + 0.0736389i
\(540\) −12.8188 −0.551635
\(541\) 20.2115 25.3444i 0.868958 1.08964i −0.126263 0.991997i \(-0.540298\pi\)
0.995222 0.0976426i \(-0.0311302\pi\)
\(542\) −23.0670 11.1085i −0.990814 0.477151i
\(543\) −0.469224 2.05581i −0.0201363 0.0882231i
\(544\) 8.28805 + 3.99131i 0.355347 + 0.171126i
\(545\) −10.0526 + 4.84108i −0.430606 + 0.207369i
\(546\) 0.694287 + 0.585219i 0.0297127 + 0.0250451i
\(547\) −10.7021 5.15384i −0.457587 0.220362i 0.190867 0.981616i \(-0.438870\pi\)
−0.648454 + 0.761253i \(0.724584\pi\)
\(548\) 38.6388 + 48.4515i 1.65057 + 2.06975i
\(549\) 30.5442 14.7093i 1.30359 0.627777i
\(550\) 88.7619 111.304i 3.78482 4.74601i
\(551\) 0.275441 1.20678i 0.0117342 0.0514107i
\(552\) −1.64287 + 2.06010i −0.0699254 + 0.0876837i
\(553\) −5.04247 + 9.78190i −0.214427 + 0.415969i
\(554\) 41.3842 + 51.8942i 1.75825 + 2.20477i
\(555\) −1.86707 + 0.899135i −0.0792528 + 0.0381661i
\(556\) 13.4708 59.0192i 0.571287 2.50297i
\(557\) 20.9659 0.888355 0.444177 0.895939i \(-0.353496\pi\)
0.444177 + 0.895939i \(0.353496\pi\)
\(558\) 47.7534 2.02156
\(559\) 0.0430694 0.188699i 0.00182164 0.00798114i
\(560\) −2.45536 + 4.76317i −0.103758 + 0.201281i
\(561\) −0.268007 1.17422i −0.0113153 0.0495755i
\(562\) −13.7867 60.4037i −0.581559 2.54797i
\(563\) 2.36513 + 2.96578i 0.0996785 + 0.124993i 0.829169 0.558998i \(-0.188814\pi\)
−0.729490 + 0.683991i \(0.760243\pi\)
\(564\) 2.16909 + 2.71995i 0.0913352 + 0.114531i
\(565\) −13.6080 59.6207i −0.572494 2.50826i
\(566\) 5.80600 + 25.4377i 0.244044 + 1.06923i
\(567\) −17.8060 15.0088i −0.747780 0.630309i
\(568\) 2.53384 11.1015i 0.106317 0.465807i
\(569\) 32.1669 1.34851 0.674253 0.738501i \(-0.264466\pi\)
0.674253 + 0.738501i \(0.264466\pi\)
\(570\) 0.343085 0.0143702
\(571\) −5.83711 + 25.5741i −0.244276 + 1.07024i 0.692804 + 0.721126i \(0.256375\pi\)
−0.937080 + 0.349116i \(0.886482\pi\)
\(572\) 13.5287 6.51510i 0.565665 0.272410i
\(573\) 1.10656 + 1.38758i 0.0462271 + 0.0579670i
\(574\) 1.23526 45.4639i 0.0515589 1.89763i
\(575\) 48.9933 61.4356i 2.04316 2.56204i
\(576\) −8.43353 + 36.9497i −0.351397 + 1.53957i
\(577\) 16.0894 20.1755i 0.669810 0.839916i −0.324561 0.945865i \(-0.605217\pi\)
0.994372 + 0.105949i \(0.0337880\pi\)
\(578\) −28.6237 + 13.7844i −1.19059 + 0.573357i
\(579\) −1.11992 1.40433i −0.0465421 0.0583620i
\(580\) −69.6433 33.5385i −2.89178 1.39261i
\(581\) −4.37568 + 0.874410i −0.181534 + 0.0362767i
\(582\) −0.0417512 + 0.0201063i −0.00173064 + 0.000833435i
\(583\) 25.8486 + 12.4480i 1.07054 + 0.515544i
\(584\) −6.69386 29.3277i −0.276994 1.21359i
\(585\) 11.6020 + 5.58724i 0.479685 + 0.231004i
\(586\) 17.4225 21.8472i 0.719718 0.902498i
\(587\) −32.9662 −1.36066 −0.680329 0.732906i \(-0.738163\pi\)
−0.680329 + 0.732906i \(0.738163\pi\)
\(588\) 3.20466 1.33408i 0.132158 0.0550163i
\(589\) −1.60444 −0.0661097
\(590\) 0.655270 0.821683i 0.0269770 0.0338281i
\(591\) 0.578747 + 0.278710i 0.0238065 + 0.0114646i
\(592\) −0.336263 1.47327i −0.0138203 0.0605509i
\(593\) −21.5343 10.3704i −0.884307 0.425860i −0.0641110 0.997943i \(-0.520421\pi\)
−0.820196 + 0.572083i \(0.806135\pi\)
\(594\) 8.31406 4.00384i 0.341130 0.164279i
\(595\) −8.44076 18.8185i −0.346038 0.771483i
\(596\) −22.1584 10.6709i −0.907645 0.437099i
\(597\) 0.186688 + 0.234100i 0.00764065 + 0.00958107i
\(598\) 11.9409 5.75044i 0.488300 0.235153i
\(599\) 24.4394 30.6460i 0.998565 1.25216i 0.0310054 0.999519i \(-0.490129\pi\)
0.967560 0.252642i \(-0.0812995\pi\)
\(600\) 1.40028 6.13501i 0.0571661 0.250461i
\(601\) −18.8685 + 23.6603i −0.769660 + 0.965123i −0.999968 0.00799451i \(-0.997455\pi\)
0.230308 + 0.973118i \(0.426027\pi\)
\(602\) −0.904679 0.762560i −0.0368720 0.0310796i
\(603\) −3.73729 4.68641i −0.152194 0.190845i
\(604\) −61.5079 + 29.6206i −2.50272 + 1.20525i
\(605\) −8.88172 + 38.9134i −0.361093 + 1.58205i
\(606\) 5.74563 0.233400
\(607\) 41.4136 1.68093 0.840463 0.541869i \(-0.182283\pi\)
0.840463 + 0.541869i \(0.182283\pi\)
\(608\) 0.262497 1.15007i 0.0106456 0.0466416i
\(609\) 0.861189 + 1.92000i 0.0348971 + 0.0778024i
\(610\) 25.3099 + 110.890i 1.02477 + 4.48980i
\(611\) −1.56110 6.83963i −0.0631554 0.276702i
\(612\) 11.1744 + 14.0122i 0.451697 + 0.566410i
\(613\) −9.83314 12.3304i −0.397157 0.498019i 0.542539 0.840031i \(-0.317463\pi\)
−0.939696 + 0.342012i \(0.888892\pi\)
\(614\) −6.35945 27.8626i −0.256647 1.12444i
\(615\) 1.06339 + 4.65901i 0.0428800 + 0.187870i
\(616\) 0.999530 36.7878i 0.0402722 1.48222i
\(617\) −1.44153 + 6.31576i −0.0580339 + 0.254263i −0.995620 0.0934894i \(-0.970198\pi\)
0.937586 + 0.347752i \(0.113055\pi\)
\(618\) −1.97173 −0.0793146
\(619\) −34.3308 −1.37987 −0.689937 0.723870i \(-0.742362\pi\)
−0.689937 + 0.723870i \(0.742362\pi\)
\(620\) −22.2949 + 97.6805i −0.895387 + 3.92295i
\(621\) 4.58905 2.20997i 0.184152 0.0886831i
\(622\) 24.5966 + 30.8431i 0.986232 + 1.23670i
\(623\) 13.6260 2.72293i 0.545913 0.109092i
\(624\) 0.0433791 0.0543957i 0.00173655 0.00217757i
\(625\) −20.9541 + 91.8057i −0.838162 + 3.67223i
\(626\) 24.0040 30.1001i 0.959394 1.20304i
\(627\) −0.139154 + 0.0670131i −0.00555728 + 0.00267624i
\(628\) −48.6647 61.0236i −1.94193 2.43511i
\(629\) 5.24013 + 2.52351i 0.208938 + 0.100619i
\(630\) 62.8555 47.3910i 2.50422 1.88810i
\(631\) −0.435279 + 0.209619i −0.0173282 + 0.00834480i −0.442528 0.896755i \(-0.645918\pi\)
0.425200 + 0.905100i \(0.360204\pi\)
\(632\) 11.5896 + 5.58124i 0.461008 + 0.222010i
\(633\) −0.348163 1.52540i −0.0138382 0.0606293i
\(634\) −56.5896 27.2521i −2.24746 1.08232i
\(635\) −55.3048 + 69.3500i −2.19470 + 2.75207i
\(636\) 3.16310 0.125425
\(637\) −6.98967 0.380102i −0.276941 0.0150602i
\(638\) 55.6448 2.20300
\(639\) −6.83659 + 8.57281i −0.270451 + 0.339135i
\(640\) −74.8032 36.0233i −2.95686 1.42395i
\(641\) 6.50878 + 28.5168i 0.257081 + 1.12635i 0.924355 + 0.381534i \(0.124604\pi\)
−0.667273 + 0.744813i \(0.732539\pi\)
\(642\) −2.24071 1.07907i −0.0884337 0.0425874i
\(643\) 28.8405 13.8888i 1.13736 0.547722i 0.232144 0.972681i \(-0.425426\pi\)
0.905212 + 0.424959i \(0.139712\pi\)
\(644\) 1.37609 50.6471i 0.0542255 1.99577i
\(645\) 0.112011 + 0.0539415i 0.00441041 + 0.00212394i
\(646\) −0.600359 0.752827i −0.0236208 0.0296196i
\(647\) −35.7018 + 17.1931i −1.40358 + 0.675929i −0.973884 0.227044i \(-0.927094\pi\)
−0.429697 + 0.902973i \(0.641379\pi\)
\(648\) −16.9715 + 21.2815i −0.666702 + 0.836018i
\(649\) −0.105280 + 0.461263i −0.00413261 + 0.0181061i
\(650\) −19.7344 + 24.7462i −0.774049 + 0.970626i
\(651\) 2.17788 1.64205i 0.0853580 0.0643571i
\(652\) 3.45660 + 4.33444i 0.135371 + 0.169750i
\(653\) 45.7197 22.0174i 1.78915 0.861609i 0.842973 0.537955i \(-0.180803\pi\)
0.946176 0.323654i \(-0.104911\pi\)
\(654\) 0.197052 0.863343i 0.00770536 0.0337594i
\(655\) −39.4385 −1.54099
\(656\) −3.48481 −0.136059
\(657\) −6.44583 + 28.2410i −0.251476 + 1.10179i
\(658\) −41.5363 10.6751i −1.61925 0.416160i
\(659\) 6.04005 + 26.4632i 0.235287 + 1.03086i 0.945180 + 0.326549i \(0.105886\pi\)
−0.709893 + 0.704309i \(0.751257\pi\)
\(660\) 2.14620 + 9.40310i 0.0835406 + 0.366015i
\(661\) 4.02194 + 5.04335i 0.156435 + 0.196164i 0.853873 0.520482i \(-0.174248\pi\)
−0.697437 + 0.716646i \(0.745676\pi\)
\(662\) −39.9412 50.0847i −1.55236 1.94660i
\(663\) 0.0595861 + 0.261064i 0.00231413 + 0.0101389i
\(664\) 1.16060 + 5.08493i 0.0450401 + 0.197334i
\(665\) −2.11185 + 1.59226i −0.0818939 + 0.0617453i
\(666\) −4.93963 + 21.6419i −0.191407 + 0.838608i
\(667\) 30.7139 1.18925
\(668\) 1.63857 0.0633980
\(669\) 0.302239 1.32420i 0.0116852 0.0511963i
\(670\) 18.1192 8.72573i 0.700005 0.337104i
\(671\) −31.9252 40.0330i −1.23246 1.54546i
\(672\) 0.820719 + 1.82977i 0.0316599 + 0.0705851i
\(673\) −17.8258 + 22.3528i −0.687133 + 0.861638i −0.995989 0.0894710i \(-0.971482\pi\)
0.308856 + 0.951109i \(0.400054\pi\)
\(674\) −1.12271 + 4.91891i −0.0432452 + 0.189470i
\(675\) −7.58422 + 9.51031i −0.291917 + 0.366052i
\(676\) −3.00785 + 1.44850i −0.115686 + 0.0557117i
\(677\) 7.34557 + 9.21105i 0.282313 + 0.354010i 0.902688 0.430296i \(-0.141591\pi\)
−0.620375 + 0.784306i \(0.713019\pi\)
\(678\) 4.37296 + 2.10591i 0.167943 + 0.0808769i
\(679\) 0.163685 0.317532i 0.00628164 0.0121858i
\(680\) −21.7202 + 10.4599i −0.832931 + 0.401118i
\(681\) −3.18852 1.53551i −0.122184 0.0588408i
\(682\) −16.0495 70.3174i −0.614567 2.69259i
\(683\) 10.8726 + 5.23595i 0.416027 + 0.200348i 0.630175 0.776453i \(-0.282983\pi\)
−0.214148 + 0.976801i \(0.568697\pi\)
\(684\) 1.43296 1.79687i 0.0547905 0.0687051i
\(685\) 80.2707 3.06698
\(686\) −21.6431 + 36.9143i −0.826337 + 1.40940i
\(687\) −0.250449 −0.00955523
\(688\) −0.0565244 + 0.0708794i −0.00215497 + 0.00270225i
\(689\) −5.74692 2.76757i −0.218940 0.105436i
\(690\) 1.89430 + 8.29949i 0.0721149 + 0.315956i
\(691\) −21.1965 10.2077i −0.806353 0.388319i −0.0151593 0.999885i \(-0.504826\pi\)
−0.791193 + 0.611566i \(0.790540\pi\)
\(692\) 43.9958 21.1873i 1.67247 0.805419i
\(693\) −16.2374 + 31.4989i −0.616806 + 1.19654i
\(694\) 55.3503 + 26.6553i 2.10107 + 1.01182i
\(695\) −48.8892 61.3051i −1.85447 2.32544i
\(696\) 2.21605 1.06720i 0.0839993 0.0404519i
\(697\) 8.36241 10.4861i 0.316749 0.397191i
\(698\) 7.77288 34.0552i 0.294208 1.28901i
\(699\) 1.72931 2.16849i 0.0654085 0.0820196i
\(700\) 49.5193 + 110.402i 1.87165 + 4.17281i
\(701\) 23.9703 + 30.0579i 0.905348 + 1.13527i 0.990308 + 0.138886i \(0.0443521\pi\)
−0.0849608 + 0.996384i \(0.527077\pi\)
\(702\) −1.84847 + 0.890174i −0.0697659 + 0.0335975i
\(703\) 0.165964 0.727135i 0.00625944 0.0274244i
\(704\) 57.2433 2.15744
\(705\) 4.50621 0.169714
\(706\) −10.7575 + 47.1317i −0.404864 + 1.77383i
\(707\) −35.3670 + 26.6656i −1.33011 + 1.00286i
\(708\) 0.0116074 + 0.0508552i 0.000436232 + 0.00191126i
\(709\) 3.08092 + 13.4984i 0.115706 + 0.506942i 0.999255 + 0.0386024i \(0.0122906\pi\)
−0.883548 + 0.468340i \(0.844852\pi\)
\(710\) −22.9372 28.7624i −0.860819 1.07943i
\(711\) −7.72306 9.68441i −0.289637 0.363194i
\(712\) −3.61414 15.8346i −0.135446 0.593426i
\(713\) −8.85873 38.8126i −0.331762 1.45354i
\(714\) 1.58541 + 0.407462i 0.0593325 + 0.0152489i
\(715\) 4.32794 18.9619i 0.161856 0.709136i
\(716\) 72.6630 2.71554
\(717\) −2.42681 −0.0906310
\(718\) −12.9247 + 56.6266i −0.482344 + 2.11329i
\(719\) −11.0559 + 5.32426i −0.412317 + 0.198561i −0.628531 0.777785i \(-0.716343\pi\)
0.216214 + 0.976346i \(0.430629\pi\)
\(720\) −3.76064 4.71570i −0.140151 0.175744i
\(721\) 12.1369 9.15084i 0.452003 0.340795i
\(722\) 27.2940 34.2256i 1.01578 1.27375i
\(723\) −0.594469 + 2.60454i −0.0221085 + 0.0968638i
\(724\) 29.5490 37.0533i 1.09818 1.37707i
\(725\) −66.0864 + 31.8256i −2.45439 + 1.18197i
\(726\) −1.97514 2.47674i −0.0733042 0.0919206i
\(727\) 2.59513 + 1.24975i 0.0962482 + 0.0463507i 0.481388 0.876507i \(-0.340133\pi\)
−0.385140 + 0.922858i \(0.625847\pi\)
\(728\) −0.222226 + 8.17903i −0.00823623 + 0.303135i
\(729\) 23.2593 11.2011i 0.861454 0.414854i
\(730\) −87.5627 42.1680i −3.24084 1.56071i
\(731\) −0.0776427 0.340175i −0.00287172 0.0125818i
\(732\) −5.08629 2.44943i −0.187995 0.0905335i
\(733\) −8.36673 + 10.4915i −0.309032 + 0.387514i −0.911958 0.410283i \(-0.865430\pi\)
0.602926 + 0.797797i \(0.294001\pi\)
\(734\) −31.3341 −1.15656
\(735\) 1.23706 4.32271i 0.0456295 0.159446i
\(736\) 29.2705 1.07893
\(737\) −5.64472 + 7.07826i −0.207926 + 0.260731i
\(738\) 46.1215 + 22.2109i 1.69776 + 0.817596i
\(739\) 4.86597 + 21.3192i 0.178998 + 0.784240i 0.982094 + 0.188391i \(0.0603271\pi\)
−0.803097 + 0.595849i \(0.796816\pi\)
\(740\) −41.9628 20.2082i −1.54258 0.742869i
\(741\) 0.0309382 0.0148990i 0.00113654 0.000547330i
\(742\) −31.1347 + 23.4745i −1.14299 + 0.861777i
\(743\) 0.233050 + 0.112231i 0.00854979 + 0.00411736i 0.438154 0.898900i \(-0.355633\pi\)
−0.429604 + 0.903017i \(0.641347\pi\)
\(744\) −1.98777 2.49258i −0.0728751 0.0913825i
\(745\) −28.7013 + 13.8218i −1.05153 + 0.506393i
\(746\) 33.0039 41.3856i 1.20836 1.51524i
\(747\) 1.11760 4.89652i 0.0408908 0.179154i
\(748\) 16.8775 21.1637i 0.617103 0.773823i
\(749\) 18.8006 3.75699i 0.686958 0.137278i
\(750\) −8.04926 10.0934i −0.293917 0.368561i
\(751\) −18.3777 + 8.85025i −0.670613 + 0.322950i −0.738023 0.674775i \(-0.764241\pi\)
0.0674105 + 0.997725i \(0.478526\pi\)
\(752\) −0.731206 + 3.20362i −0.0266643 + 0.116824i
\(753\) −3.27448 −0.119329
\(754\) −12.3715 −0.450544
\(755\) −19.6768 + 86.2097i −0.716112 + 3.13749i
\(756\) −0.213020 + 7.84023i −0.00774747 + 0.285146i
\(757\) −4.75462 20.8314i −0.172810 0.757128i −0.984833 0.173504i \(-0.944491\pi\)
0.812024 0.583625i \(-0.198366\pi\)
\(758\) −7.37556 32.3144i −0.267892 1.17371i
\(759\) −2.38942 2.99624i −0.0867305 0.108757i
\(760\) 1.92750 + 2.41700i 0.0699176 + 0.0876739i
\(761\) −4.93090 21.6037i −0.178745 0.783134i −0.982211 0.187782i \(-0.939870\pi\)
0.803466 0.595351i \(-0.202987\pi\)
\(762\) −1.56656 6.86353i −0.0567504 0.248640i
\(763\) 2.79384 + 6.22880i 0.101144 + 0.225498i
\(764\) −8.87604 + 38.8885i −0.321124 + 1.40694i
\(765\) 23.2143 0.839315
\(766\) −48.1822 −1.74089
\(767\) 0.0234070 0.102553i 0.000845177 0.00370296i
\(768\) 2.53045 1.21860i 0.0913099 0.0439725i
\(769\) 22.1051 + 27.7190i 0.797132 + 0.999571i 0.999793 + 0.0203226i \(0.00646933\pi\)
−0.202662 + 0.979249i \(0.564959\pi\)
\(770\) −90.9089 76.6278i −3.27613 2.76147i
\(771\) −0.0301321 + 0.0377845i −0.00108518 + 0.00136077i
\(772\) 8.98319 39.3579i 0.323312 1.41652i
\(773\) −2.30964 + 2.89620i −0.0830720 + 0.104169i −0.821631 0.570020i \(-0.806935\pi\)
0.738559 + 0.674189i \(0.235507\pi\)
\(774\) 1.19986 0.577823i