Properties

Label 637.2.w.b.547.3
Level $637$
Weight $2$
Character 637.547
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 547.3
Character \(\chi\) \(=\) 637.547
Dual form 637.2.w.b.92.3

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{6}{7}\right)\)

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 −0.960278 0.279044i \(-0.909983\pi\)
−0.0583653 0.998295i \(-0.518589\pi\)
\(3\) −0.133830 + 0.0644489i −0.0772666 + 0.0372096i −0.472118 0.881535i \(-0.656510\pi\)
0.394851 + 0.918745i \(0.370796\pi\)
\(4\) −0.742877 + 3.25476i −0.371439 + 1.62738i
\(5\) −3.89600 + 1.87621i −1.74234 + 0.839068i −0.760508 + 0.649329i \(0.775050\pi\)
−0.981835 + 0.189739i \(0.939236\pi\)
\(6\) 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 −0.997414 0.0718745i \(-0.977102\pi\)
0.151873 0.988400i \(-0.451470\pi\)
\(12\) −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 0.999992 0.00400588i \(-0.00127512\pi\)
−0.902700 + 0.430271i \(0.858418\pi\)
\(18\) 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 0.648301 + 0.761384i \(0.275480\pi\)
−0.914451 + 0.404696i \(0.867377\pi\)
\(24\) −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 −0.956537 0.291610i \(-0.905809\pi\)
0.735285 0.677758i \(-0.237048\pi\)
\(30\) −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 −0.999032 0.0439950i \(-0.985991\pi\)
0.881008 0.473102i \(-0.156866\pi\)
\(38\) 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 0.170278 0.985396i \(-0.445533\pi\)
0.876580 + 0.481255i \(0.159819\pi\)
\(42\) −0.0246622 0.907693i −0.00380546 0.140060i
\(43\) 0.174385 + 0.0839792i 0.0265934 + 0.0128067i 0.447133 0.894467i \(-0.352445\pi\)
−0.420540 + 0.907274i \(0.638159\pi\)
\(44\) 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 0.990755 0.135664i \(-0.0433166\pi\)
−0.352726 + 0.935727i \(0.614745\pi\)
\(48\) 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 0.778913 + 0.627132i \(0.215771\pi\)
−0.973879 + 0.227068i \(0.927086\pi\)
\(54\) −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 0.440043 0.897977i \(-0.354963\pi\)
−0.427704 + 0.903919i \(0.640678\pi\)
\(60\) 1.33699 + 1.67653i 0.172604 + 0.216439i
\(61\) −2.53323 11.0988i −0.324346 1.42105i −0.829733 0.558161i \(-0.811507\pi\)
0.505386 0.862893i \(-0.331350\pi\)
\(62\) −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 −0.999991 0.00413053i \(-0.998685\pi\)
0.902753 + 0.430159i \(0.141542\pi\)
\(72\) −2.04927 + 8.97844i −0.241509 + 1.05812i
\(73\) −6.06488 + 7.60512i −0.709840 + 0.890112i −0.997715 0.0675562i \(-0.978480\pi\)
0.287875 + 0.957668i \(0.407051\pi\)
\(74\) −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 −0.720764 0.693181i \(-0.756209\pi\)
0.836186 + 0.548446i \(0.184780\pi\)
\(84\) −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 −0.924483 0.381223i \(-0.875503\pi\)
0.577382 + 0.816474i \(0.304074\pi\)
\(90\) −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 0.510306 0.859993i \(-0.329532\pi\)
0.990540 + 0.137223i \(0.0438178\pi\)
\(102\) −0.137674 + 0.603191i −0.0136318 + 0.0597248i
\(103\) −5.17615 + 2.49270i −0.510021 + 0.245613i −0.671152 0.741320i \(-0.734200\pi\)
0.161131 + 0.986933i \(0.448486\pi\)
\(104\) 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 −0.950691 0.310139i \(-0.899624\pi\)
0.513912 + 0.857843i \(0.328196\pi\)
\(108\) 2.67085 + 1.28621i 0.257003 + 0.123766i
\(109\) 1.60875 + 2.01731i 0.154091 + 0.193224i 0.852885 0.522099i \(-0.174851\pi\)
−0.698794 + 0.715323i \(0.746280\pi\)
\(110\) −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 −0.169033 0.985610i \(-0.554064\pi\)
0.998512 0.0545244i \(-0.0173643\pi\)
\(114\) −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 0.606500 + 0.795084i \(0.292573\pi\)
−0.201464 + 0.979496i \(0.564570\pi\)
\(128\) 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 0.756927 0.653499i \(-0.226700\pi\)
−0.0389901 + 0.999240i \(0.512414\pi\)
\(132\) −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 −0.450096 0.892980i \(-0.648610\pi\)
−0.978790 + 0.204865i \(0.934324\pi\)
\(138\) −1.22744 + 1.53916i −0.104486 + 0.131022i
\(139\) 16.3375 7.86771i 1.38573 0.667330i 0.415514 0.909587i \(-0.363602\pi\)
0.970212 + 0.242256i \(0.0778875\pi\)
\(140\) −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 0.933529 0.358501i \(-0.116712\pi\)
−0.557242 + 0.830350i \(0.688140\pi\)
\(150\) 4.23592 2.03991i 0.345861 0.166558i
\(151\) −4.55036 + 19.9364i −0.370303 + 1.62240i 0.355622 + 0.934630i \(0.384269\pi\)
−0.725925 + 0.687774i \(0.758588\pi\)
\(152\) −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 0.996759 + 0.0804402i \(0.0256326\pi\)
0.684360 + 0.729144i \(0.260082\pi\)
\(158\) −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 0.374370 0.927279i \(-0.377859\pi\)
−0.491560 + 0.870844i \(0.663573\pi\)
\(164\) 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 0.970526 0.240995i \(-0.0774737\pi\)
−0.978978 + 0.203967i \(0.934617\pi\)
\(168\) 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 −0.686590 0.727045i \(-0.740893\pi\)
0.934049 0.357145i \(-0.116250\pi\)
\(174\) 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 −0.748104 0.663581i \(-0.769036\pi\)
0.386102 0.922456i \(-0.373821\pi\)
\(180\) 38.7329 + 18.6528i 2.88698 + 1.39030i
\(181\) 8.85108 11.0989i 0.657896 0.824975i −0.335216 0.942141i \(-0.608809\pi\)
0.993112 + 0.117166i \(0.0373809\pi\)
\(182\) −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 −0.780714 0.624888i \(-0.785145\pi\)
0.00178962 + 0.999998i \(0.499430\pi\)
\(192\) 0.420665 1.84305i 0.0303589 0.133011i
\(193\) 10.8949 5.24671i 0.784232 0.377666i 0.00147919 0.999999i \(-0.499529\pi\)
0.782753 + 0.622333i \(0.213815\pi\)
\(194\) 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 −0.497147 0.867666i \(-0.665619\pi\)
0.368403 + 0.929666i \(0.379905\pi\)
\(200\) 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 −0.502569 0.864537i \(-0.667612\pi\)
0.954693 + 0.297591i \(0.0961833\pi\)
\(212\) −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 −0.859983 0.510323i \(-0.829526\pi\)
0.996239 0.0866530i \(-0.0276171\pi\)
\(224\) −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 0.483402 0.875398i \(-0.339401\pi\)
−0.383017 + 0.923741i \(0.625115\pi\)
\(230\) −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 −0.907406 0.420256i \(-0.861940\pi\)
0.635202 0.772346i \(-0.280917\pi\)
\(234\) 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 0.844439 0.535652i \(-0.179934\pi\)
0.107710 + 0.994182i \(0.465648\pi\)
\(240\) −0.271063 + 0.130537i −0.0174970 + 0.00842612i
\(241\) −4.00209 + 17.5343i −0.257797 + 1.12948i 0.665803 + 0.746127i \(0.268089\pi\)
−0.923601 + 0.383356i \(0.874768\pi\)
\(242\) 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 0.938486 0.345318i \(-0.112229\pi\)
0.315156 + 0.949040i \(0.397943\pi\)
\(252\) −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 0.977136 0.212616i \(-0.0681985\pi\)
−0.972620 + 0.232403i \(0.925341\pi\)
\(258\) 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 −0.488071 0.872804i \(-0.662299\pi\)
0.959527 + 0.281617i \(0.0908707\pi\)
\(270\) 5.53146 6.93623i 0.336634 0.422126i
\(271\) 2.46573 10.8031i 0.149782 0.656239i −0.843162 0.537659i \(-0.819309\pi\)
0.992945 0.118580i \(-0.0378341\pi\)
\(272\) 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 0.684525 + 0.728990i \(0.260010\pi\)
−0.300439 + 0.953801i \(0.597133\pi\)
\(278\) −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 −0.967960 0.251103i \(-0.919207\pi\)
−0.0294158 0.999567i \(-0.509365\pi\)
\(282\) 0.535774 + 2.34738i 0.0319049 + 0.139784i
\(283\) 7.04089 + 8.82899i 0.418537 + 0.524829i 0.945746 0.324907i \(-0.105333\pi\)
−0.527209 + 0.849736i \(0.676761\pi\)
\(284\) −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 0.511432 0.859324i \(-0.329115\pi\)
−0.951583 + 0.307392i \(0.900544\pi\)
\(308\) −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 0.960800 + 0.277244i \(0.0894210\pi\)
−0.745359 + 0.666663i \(0.767722\pi\)
\(312\) −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 −0.459842 0.888001i \(-0.652094\pi\)
0.799593 0.600543i \(-0.205049\pi\)
\(318\) −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 −0.800927 0.598763i \(-0.795659\pi\)
0.461816 0.886975i \(-0.347198\pi\)
\(332\) 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 0.486702 0.873568i \(-0.338200\pi\)
−0.379529 + 0.925180i \(0.623914\pi\)
\(338\) 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 0.524093 + 0.851661i \(0.324405\pi\)
−0.841713 + 0.539925i \(0.818453\pi\)
\(348\) −2.39229 + 1.15206i −0.128240 + 0.0617572i
\(349\) −13.6211 6.55959i −0.729122 0.351127i 0.0322168 0.999481i \(-0.489743\pi\)
−0.761339 + 0.648354i \(0.775458\pi\)
\(350\) 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 0.862076 0.506779i \(-0.169164\pi\)
0.141280 + 0.989970i \(0.454878\pi\)
\(354\) 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 0.922353 0.386349i \(-0.126264\pi\)
0.273018 + 0.962009i \(0.411978\pi\)
\(360\) −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 −0.510532 0.859859i \(-0.670551\pi\)
0.951905 + 0.306395i \(0.0991228\pi\)
\(368\) 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 0.497112 0.867686i \(-0.334394\pi\)
−0.956549 + 0.291570i \(0.905822\pi\)
\(380\) 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 −0.329443 0.944176i \(-0.606861\pi\)
0.993811 + 0.111084i \(0.0354323\pi\)
\(384\) −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 −0.707342 0.706872i \(-0.750106\pi\)
0.111634 + 0.993749i \(0.464392\pi\)
\(390\) −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 −0.497120 0.867682i \(-0.665609\pi\)
0.368432 + 0.929655i \(0.379895\pi\)
\(398\) 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 −0.831933 0.554877i \(-0.812765\pi\)
0.726087 + 0.687603i \(0.241337\pi\)
\(402\) 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 −0.998666 0.0516338i \(-0.983557\pi\)
0.877364 0.479825i \(-0.159300\pi\)
\(410\) 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 0.842023 + 0.539441i \(0.181364\pi\)
−0.992692 + 0.120679i \(0.961493\pi\)
\(420\) 2.32187 5.17656i 0.113296 0.252590i
\(421\) −3.91778 17.1649i −0.190941 0.836567i −0.976109 0.217283i \(-0.930280\pi\)
0.785168 0.619283i \(-0.212577\pi\)
\(422\) −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 0.669014 0.743250i \(-0.266717\pi\)
−0.163973 + 0.986465i \(0.552431\pi\)
\(432\) −0.259317 + 0.325174i −0.0124764 + 0.0156449i
\(433\) −17.0152 + 8.19410i −0.817699 + 0.393783i −0.795487 0.605970i \(-0.792785\pi\)
−0.0222118 + 0.999753i \(0.507071\pi\)
\(434\) −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 0.903893 0.427758i \(-0.140696\pi\)
−0.618168 + 0.786046i \(0.712125\pi\)
\(440\) 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 0.987930 0.154901i \(-0.0495059\pi\)
−0.370853 + 0.928692i \(0.620934\pi\)
\(444\) −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 −0.237480 0.971392i \(-0.576321\pi\)
0.611399 + 0.791323i \(0.290607\pi\)
\(450\) 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 0.741147 0.671343i \(-0.234282\pi\)
−0.0627796 + 0.998027i \(0.519997\pi\)
\(458\) −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 0.951736 + 0.306918i \(0.0992977\pi\)
−0.724318 + 0.689466i \(0.757845\pi\)
\(462\) −3.12277 + 2.63221i −0.145285 + 0.122461i
\(463\) −0.618720 + 2.71079i −0.0287544 + 0.125981i −0.987268 0.159065i \(-0.949152\pi\)
0.958514 + 0.285047i \(0.0920091\pi\)
\(464\) −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 −0.726625 0.687034i \(-0.758912\pi\)
0.952760 0.303725i \(-0.0982304\pi\)
\(468\) 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 0.701087 0.713076i \(-0.252698\pi\)
−0.851204 + 0.524835i \(0.824127\pi\)
\(480\) −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 −0.820155 0.572142i \(-0.806113\pi\)
−0.0640399 + 0.997947i \(0.520399\pi\)
\(488\) −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 −0.727391 0.686224i \(-0.759267\pi\)
0.830878 + 0.556454i \(0.187839\pi\)
\(500\) −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 0.964532 + 0.263965i \(0.0850305\pi\)
0.0427186 + 0.999087i \(0.486398\pi\)
\(504\) 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 −0.0308191 0.999525i \(-0.509812\pi\)
−0.800676 + 0.599098i \(0.795526\pi\)
\(524\) −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 0.995222 + 0.0976426i \(0.0311302\pi\)
−0.126263 + 0.991997i \(0.540298\pi\)
\(542\) −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 −0.648454 0.761253i \(-0.724584\pi\)
0.190867 + 0.981616i \(0.438870\pi\)
\(548\) 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 −0.729490 0.683991i \(-0.760243\pi\)
0.829169 + 0.558998i \(0.188814\pi\)
\(564\) 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 −0.937080 0.349116i \(-0.886482\pi\)
0.692804 0.721126i \(-0.256375\pi\)
\(572\) 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 0.994372 0.105949i \(-0.0337880\pi\)
−0.324561 + 0.945865i \(0.605217\pi\)
\(578\) −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 −0.820196 0.572083i \(-0.806135\pi\)
−0.0641110 + 0.997943i \(0.520421\pi\)
\(594\) 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 0.967560 + 0.252642i \(0.0812995\pi\)
0.0310054 + 0.999519i \(0.490129\pi\)
\(600\) 1.40028 + 6.13501i 0.0571661 + 0.250461i
\(601\) −18.8685 23.6603i −0.769660 0.965123i 0.230308 0.973118i \(-0.426027\pi\)
−0.999968 + 0.00799451i \(0.997455\pi\)
\(602\) −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 −0.939696 0.342012i \(-0.888892\pi\)
0.542539 + 0.840031i \(0.317463\pi\)
\(614\) −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 0.937586 0.347752i \(-0.113055\pi\)
−0.995620 + 0.0934894i \(0.970198\pi\)
\(618\) −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 0.425200 0.905100i \(-0.360204\pi\)
−0.442528 + 0.896755i \(0.645918\pi\)
\(632\) 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 −0.667273 0.744813i \(-0.732539\pi\)
0.924355 0.381534i \(-0.124604\pi\)
\(642\) −2.24071 + 1.07907i −0.0884337 + 0.0425874i
\(643\) 28.8405 + 13.8888i 1.13736 + 0.547722i 0.905212 0.424959i \(-0.139712\pi\)
0.232144 + 0.972681i \(0.425426\pi\)
\(644\) 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 −0.429697 0.902973i \(-0.641379\pi\)
−0.973884 + 0.227044i \(0.927094\pi\)
\(648\) −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 0.946176 + 0.323654i \(0.104911\pi\)
0.842973 + 0.537955i \(0.180803\pi\)
\(654\) 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 −0.709893 0.704309i \(-0.751257\pi\)
0.945180 0.326549i \(-0.105886\pi\)
\(660\) 2.14620 9.40310i 0.0835406 0.366015i
\(661\) 4.02194 5.04335i 0.156435 0.196164i −0.697437 0.716646i \(-0.745676\pi\)
0.853873 + 0.520482i \(0.174248\pi\)
\(662\) −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 0.308856 0.951109i \(-0.400054\pi\)
−0.995989 + 0.0894710i \(0.971482\pi\)
\(674\) −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 −0.620375 0.784306i \(-0.713019\pi\)
0.902688 + 0.430296i \(0.141591\pi\)
\(678\) 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 −0.214148 0.976801i \(-0.568697\pi\)
0.630175 + 0.776453i \(0.282983\pi\)
\(684\) 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 −0.791193 0.611566i \(-0.790540\pi\)
−0.0151593 + 0.999885i \(0.504826\pi\)
\(692\) 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 −0.0849608 0.996384i \(-0.527077\pi\)
0.990308 0.138886i \(-0.0443521\pi\)
\(702\) −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 −0.883548 0.468340i \(-0.844852\pi\)
0.999255 0.0386024i \(-0.0122906\pi\)
\(710\) −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 0.216214 0.976346i \(-0.430629\pi\)
−0.628531 + 0.777785i \(0.716343\pi\)
\(720\) −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 −0.385140 0.922858i \(-0.625847\pi\)
0.481388 + 0.876507i \(0.340133\pi\)
\(728\) −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 0.602926 0.797797i \(-0.294001\pi\)
−0.911958 + 0.410283i \(0.865430\pi\)
\(734\) −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 −0.803097 0.595849i \(-0.796816\pi\)
0.982094 0.188391i \(-0.0603271\pi\)
\(740\) −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 −0.429604 0.903017i \(-0.641347\pi\)
0.438154 + 0.898900i \(0.355633\pi\)
\(744\) −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 0.0674105 0.997725i \(-0.478526\pi\)
−0.738023 + 0.674775i \(0.764241\pi\)
\(752\) −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 0.812024 + 0.583625i \(0.198366\pi\)
−0.984833 + 0.173504i \(0.944491\pi\)
\(758\) −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 0.803466 + 0.595351i \(0.202987\pi\)
−0.982211 + 0.187782i \(0.939870\pi\)
\(762\) −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 −0.202662 0.979249i \(-0.564959\pi\)
0.999793 0.0203226i \(-0.00646933\pi\)
\(770\) −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