Properties

Label 637.2.w.a.92.17
Level $637$
Weight $2$
Character 637.92
Analytic conductor $5.086$
Analytic rank $0$
Dimension $162$
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: \(162\)
Relative dimension: \(27\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 92.17
Character \(\chi\) \(=\) 637.92
Dual form 637.2.w.a.547.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258756 - 0.324470i) q^{2} +(-2.07294 - 0.998275i) q^{3} +(0.406716 + 1.78194i) q^{4} +(2.95478 + 1.42295i) q^{5} +(-0.860297 + 0.414297i) q^{6} +(2.39153 + 1.13164i) q^{7} +(1.43125 + 0.689256i) q^{8} +(1.43005 + 1.79323i) q^{9} +O(q^{10})\) \(q+(0.258756 - 0.324470i) q^{2} +(-2.07294 - 0.998275i) q^{3} +(0.406716 + 1.78194i) q^{4} +(2.95478 + 1.42295i) q^{5} +(-0.860297 + 0.414297i) q^{6} +(2.39153 + 1.13164i) q^{7} +(1.43125 + 0.689256i) q^{8} +(1.43005 + 1.79323i) q^{9} +(1.22627 - 0.590542i) q^{10} +(-3.15323 + 3.95403i) q^{11} +(0.935767 - 4.09986i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(0.986006 - 0.483160i) q^{14} +(-4.70459 - 5.89937i) q^{15} +(-2.69953 + 1.30002i) q^{16} +(0.170956 - 0.749007i) q^{17} +0.951886 q^{18} -6.19624 q^{19} +(-1.33385 + 5.84398i) q^{20} +(-3.82780 - 4.73322i) q^{21} +(0.467046 + 2.04626i) q^{22} +(-1.18560 - 5.19447i) q^{23} +(-2.27884 - 2.85757i) q^{24} +(3.58851 + 4.49985i) q^{25} +(0.0923491 + 0.404608i) q^{26} +(0.361643 + 1.58446i) q^{27} +(-1.04384 + 4.72181i) q^{28} +(-1.36221 + 5.96821i) q^{29} -3.13151 q^{30} +6.89540 q^{31} +(-0.983682 + 4.30979i) q^{32} +(10.4837 - 5.04867i) q^{33} +(-0.198795 - 0.249281i) q^{34} +(5.45617 + 6.74676i) q^{35} +(-2.61380 + 3.27761i) q^{36} +(0.332101 - 1.45503i) q^{37} +(-1.60332 + 2.01049i) q^{38} +(2.07294 - 0.998275i) q^{39} +(3.24827 + 4.07320i) q^{40} +(2.62159 + 1.26249i) q^{41} +(-2.52626 + 0.0172569i) q^{42} +(-0.824865 + 0.397234i) q^{43} +(-8.32831 - 4.01070i) q^{44} +(1.67382 + 7.33351i) q^{45} +(-1.99223 - 0.959409i) q^{46} +(7.89617 - 9.90148i) q^{47} +6.89374 q^{48} +(4.43879 + 5.41269i) q^{49} +2.38862 q^{50} +(-1.10210 + 1.38199i) q^{51} +(-1.64676 - 0.793037i) q^{52} +(1.30515 + 5.71823i) q^{53} +(0.607688 + 0.292647i) q^{54} +(-14.9435 + 7.19641i) q^{55} +(2.64289 + 3.26803i) q^{56} +(12.8444 + 6.18555i) q^{57} +(1.58403 + 1.98631i) q^{58} +(-4.68764 + 2.25745i) q^{59} +(8.59888 - 10.7827i) q^{60} +(2.78252 - 12.1910i) q^{61} +(1.78423 - 2.23735i) q^{62} +(1.39072 + 5.90687i) q^{63} +(-2.59240 - 3.25076i) q^{64} +(-2.95478 + 1.42295i) q^{65} +(1.07457 - 4.70801i) q^{66} -4.44870 q^{67} +1.40422 q^{68} +(-2.72782 + 11.9514i) q^{69} +(3.60094 - 0.0245981i) q^{70} +(-0.427188 - 1.87163i) q^{71} +(0.810776 + 3.55224i) q^{72} +(5.56802 + 6.98207i) q^{73} +(-0.386180 - 0.484255i) q^{74} +(-2.94668 - 12.9102i) q^{75} +(-2.52011 - 11.0413i) q^{76} +(-12.0156 + 5.88784i) q^{77} +(0.212476 - 0.930917i) q^{78} -4.91714 q^{79} -9.82639 q^{80} +(2.36321 - 10.3539i) q^{81} +(1.08799 - 0.523950i) q^{82} +(6.11915 + 7.67317i) q^{83} +(6.87748 - 8.74598i) q^{84} +(1.57094 - 1.96989i) q^{85} +(-0.0845484 + 0.370431i) q^{86} +(8.78169 - 11.0119i) q^{87} +(-7.23841 + 3.48584i) q^{88} +(8.82599 + 11.0674i) q^{89} +(2.81262 + 1.35449i) q^{90} +(-2.37584 + 1.16420i) q^{91} +(8.77402 - 4.22534i) q^{92} +(-14.2937 - 6.88350i) q^{93} +(-1.16955 - 5.12414i) q^{94} +(-18.3085 - 8.81692i) q^{95} +(6.34147 - 7.95195i) q^{96} +14.7499 q^{97} +(2.90482 - 0.0396876i) q^{98} -11.5998 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} + O(q^{10}) \) \( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258756 0.324470i 0.182968 0.229435i −0.681885 0.731459i \(-0.738840\pi\)
0.864854 + 0.502024i \(0.167411\pi\)
\(3\) −2.07294 0.998275i −1.19681 0.576354i −0.274047 0.961716i \(-0.588362\pi\)
−0.922765 + 0.385362i \(0.874077\pi\)
\(4\) 0.406716 + 1.78194i 0.203358 + 0.890969i
\(5\) 2.95478 + 1.42295i 1.32142 + 0.636362i 0.955694 0.294361i \(-0.0951069\pi\)
0.365725 + 0.930723i \(0.380821\pi\)
\(6\) −0.860297 + 0.414297i −0.351215 + 0.169136i
\(7\) 2.39153 + 1.13164i 0.903912 + 0.427719i
\(8\) 1.43125 + 0.689256i 0.506025 + 0.243689i
\(9\) 1.43005 + 1.79323i 0.476685 + 0.597744i
\(10\) 1.22627 0.590542i 0.387782 0.186746i
\(11\) −3.15323 + 3.95403i −0.950736 + 1.19218i 0.0305317 + 0.999534i \(0.490280\pi\)
−0.981267 + 0.192651i \(0.938291\pi\)
\(12\) 0.935767 4.09986i 0.270133 1.18353i
\(13\) −0.623490 + 0.781831i −0.172925 + 0.216841i
\(14\) 0.986006 0.483160i 0.263521 0.129130i
\(15\) −4.70459 5.89937i −1.21472 1.52321i
\(16\) −2.69953 + 1.30002i −0.674882 + 0.325006i
\(17\) 0.170956 0.749007i 0.0414629 0.181661i −0.949956 0.312384i \(-0.898873\pi\)
0.991419 + 0.130723i \(0.0417297\pi\)
\(18\) 0.951886 0.224362
\(19\) −6.19624 −1.42151 −0.710757 0.703438i \(-0.751647\pi\)
−0.710757 + 0.703438i \(0.751647\pi\)
\(20\) −1.33385 + 5.84398i −0.298258 + 1.30675i
\(21\) −3.82780 4.73322i −0.835295 1.03287i
\(22\) 0.467046 + 2.04626i 0.0995745 + 0.436264i
\(23\) −1.18560 5.19447i −0.247215 1.08312i −0.934284 0.356529i \(-0.883960\pi\)
0.687069 0.726592i \(-0.258897\pi\)
\(24\) −2.27884 2.85757i −0.465165 0.583299i
\(25\) 3.58851 + 4.49985i 0.717702 + 0.899970i
\(26\) 0.0923491 + 0.404608i 0.0181111 + 0.0793501i
\(27\) 0.361643 + 1.58446i 0.0695982 + 0.304930i
\(28\) −1.04384 + 4.72181i −0.197267 + 0.892337i
\(29\) −1.36221 + 5.96821i −0.252955 + 1.10827i 0.675656 + 0.737217i \(0.263860\pi\)
−0.928612 + 0.371053i \(0.878997\pi\)
\(30\) −3.13151 −0.571734
\(31\) 6.89540 1.23845 0.619225 0.785213i \(-0.287447\pi\)
0.619225 + 0.785213i \(0.287447\pi\)
\(32\) −0.983682 + 4.30979i −0.173892 + 0.761871i
\(33\) 10.4837 5.04867i 1.82497 0.878861i
\(34\) −0.198795 0.249281i −0.0340930 0.0427513i
\(35\) 5.45617 + 6.74676i 0.922262 + 1.14041i
\(36\) −2.61380 + 3.27761i −0.435634 + 0.546268i
\(37\) 0.332101 1.45503i 0.0545970 0.239205i −0.940265 0.340443i \(-0.889423\pi\)
0.994862 + 0.101238i \(0.0322802\pi\)
\(38\) −1.60332 + 2.01049i −0.260092 + 0.326145i
\(39\) 2.07294 0.998275i 0.331936 0.159852i
\(40\) 3.24827 + 4.07320i 0.513596 + 0.644030i
\(41\) 2.62159 + 1.26249i 0.409423 + 0.197168i 0.627247 0.778820i \(-0.284182\pi\)
−0.217824 + 0.975988i \(0.569896\pi\)
\(42\) −2.52626 + 0.0172569i −0.389810 + 0.00266280i
\(43\) −0.824865 + 0.397234i −0.125791 + 0.0605776i −0.495721 0.868482i \(-0.665096\pi\)
0.369930 + 0.929060i \(0.379382\pi\)
\(44\) −8.32831 4.01070i −1.25554 0.604636i
\(45\) 1.67382 + 7.33351i 0.249519 + 1.09321i
\(46\) −1.99223 0.959409i −0.293739 0.141457i
\(47\) 7.89617 9.90148i 1.15177 1.44428i 0.276264 0.961082i \(-0.410904\pi\)
0.875511 0.483198i \(-0.160525\pi\)
\(48\) 6.89374 0.995026
\(49\) 4.43879 + 5.41269i 0.634113 + 0.773241i
\(50\) 2.38862 0.337801
\(51\) −1.10210 + 1.38199i −0.154324 + 0.193517i
\(52\) −1.64676 0.793037i −0.228364 0.109974i
\(53\) 1.30515 + 5.71823i 0.179276 + 0.785460i 0.981965 + 0.189062i \(0.0605447\pi\)
−0.802689 + 0.596398i \(0.796598\pi\)
\(54\) 0.607688 + 0.292647i 0.0826959 + 0.0398242i
\(55\) −14.9435 + 7.19641i −2.01498 + 0.970364i
\(56\) 2.64289 + 3.26803i 0.353171 + 0.436709i
\(57\) 12.8444 + 6.18555i 1.70128 + 0.819296i
\(58\) 1.58403 + 1.98631i 0.207993 + 0.260815i
\(59\) −4.68764 + 2.25745i −0.610278 + 0.293895i −0.713381 0.700776i \(-0.752837\pi\)
0.103103 + 0.994671i \(0.467123\pi\)
\(60\) 8.59888 10.7827i 1.11011 1.39204i
\(61\) 2.78252 12.1910i 0.356265 1.56090i −0.406148 0.913808i \(-0.633128\pi\)
0.762413 0.647091i \(-0.224015\pi\)
\(62\) 1.78423 2.23735i 0.226597 0.284144i
\(63\) 1.39072 + 5.90687i 0.175214 + 0.744195i
\(64\) −2.59240 3.25076i −0.324050 0.406345i
\(65\) −2.95478 + 1.42295i −0.366496 + 0.176495i
\(66\) 1.07457 4.70801i 0.132271 0.579516i
\(67\) −4.44870 −0.543495 −0.271748 0.962369i \(-0.587602\pi\)
−0.271748 + 0.962369i \(0.587602\pi\)
\(68\) 1.40422 0.170286
\(69\) −2.72782 + 11.9514i −0.328391 + 1.43878i
\(70\) 3.60094 0.0245981i 0.430395 0.00294004i
\(71\) −0.427188 1.87163i −0.0506979 0.222122i 0.943232 0.332133i \(-0.107768\pi\)
−0.993930 + 0.110011i \(0.964911\pi\)
\(72\) 0.810776 + 3.55224i 0.0955509 + 0.418636i
\(73\) 5.56802 + 6.98207i 0.651687 + 0.817190i 0.992410 0.122974i \(-0.0392432\pi\)
−0.340723 + 0.940164i \(0.610672\pi\)
\(74\) −0.386180 0.484255i −0.0448925 0.0562935i
\(75\) −2.94668 12.9102i −0.340253 1.49075i
\(76\) −2.52011 11.0413i −0.289076 1.26653i
\(77\) −12.0156 + 5.88784i −1.36930 + 0.670982i
\(78\) 0.212476 0.930917i 0.0240581 0.105406i
\(79\) −4.91714 −0.553222 −0.276611 0.960982i \(-0.589211\pi\)
−0.276611 + 0.960982i \(0.589211\pi\)
\(80\) −9.82639 −1.09862
\(81\) 2.36321 10.3539i 0.262578 1.15043i
\(82\) 1.08799 0.523950i 0.120149 0.0578606i
\(83\) 6.11915 + 7.67317i 0.671664 + 0.842240i 0.994557 0.104196i \(-0.0332269\pi\)
−0.322893 + 0.946435i \(0.604655\pi\)
\(84\) 6.87748 8.74598i 0.750394 0.954265i
\(85\) 1.57094 1.96989i 0.170392 0.213665i
\(86\) −0.0845484 + 0.370431i −0.00911709 + 0.0399446i
\(87\) 8.78169 11.0119i 0.941496 1.18060i
\(88\) −7.23841 + 3.48584i −0.771618 + 0.371591i
\(89\) 8.82599 + 11.0674i 0.935553 + 1.17315i 0.984683 + 0.174354i \(0.0557837\pi\)
−0.0491301 + 0.998792i \(0.515645\pi\)
\(90\) 2.81262 + 1.35449i 0.296476 + 0.142775i
\(91\) −2.37584 + 1.16420i −0.249056 + 0.122042i
\(92\) 8.77402 4.22534i 0.914755 0.440523i
\(93\) −14.2937 6.88350i −1.48219 0.713786i
\(94\) −1.16955 5.12414i −0.120630 0.528515i
\(95\) −18.3085 8.81692i −1.87842 0.904597i
\(96\) 6.34147 7.95195i 0.647224 0.811593i
\(97\) 14.7499 1.49762 0.748812 0.662783i \(-0.230625\pi\)
0.748812 + 0.662783i \(0.230625\pi\)
\(98\) 2.90482 0.0396876i 0.293431 0.00400906i
\(99\) −11.5998 −1.16582
\(100\) −6.55895 + 8.22466i −0.655895 + 0.822466i
\(101\) 12.0656 + 5.81047i 1.20057 + 0.578164i 0.923838 0.382784i \(-0.125035\pi\)
0.276731 + 0.960947i \(0.410749\pi\)
\(102\) 0.163239 + 0.715195i 0.0161630 + 0.0708149i
\(103\) −1.78529 0.859749i −0.175909 0.0847135i 0.343857 0.939022i \(-0.388267\pi\)
−0.519766 + 0.854309i \(0.673981\pi\)
\(104\) −1.43125 + 0.689256i −0.140346 + 0.0675871i
\(105\) −4.57519 19.4324i −0.446493 1.89641i
\(106\) 2.19311 + 1.05615i 0.213014 + 0.102582i
\(107\) 1.10479 + 1.38536i 0.106804 + 0.133928i 0.832360 0.554235i \(-0.186989\pi\)
−0.725557 + 0.688162i \(0.758418\pi\)
\(108\) −2.67633 + 1.28885i −0.257530 + 0.124020i
\(109\) 5.64542 7.07913i 0.540733 0.678058i −0.434133 0.900849i \(-0.642945\pi\)
0.974866 + 0.222791i \(0.0715167\pi\)
\(110\) −1.53171 + 6.71084i −0.146042 + 0.639853i
\(111\) −2.14094 + 2.68466i −0.203209 + 0.254816i
\(112\) −7.92715 + 0.0541505i −0.749045 + 0.00511674i
\(113\) −5.12945 6.43213i −0.482538 0.605084i 0.479653 0.877458i \(-0.340763\pi\)
−0.962191 + 0.272374i \(0.912191\pi\)
\(114\) 5.33060 2.56708i 0.499257 0.240429i
\(115\) 3.88826 17.0356i 0.362582 1.58858i
\(116\) −11.1890 −1.03887
\(117\) −2.29363 −0.212046
\(118\) −0.480482 + 2.10513i −0.0442319 + 0.193793i
\(119\) 1.25645 1.59781i 0.115179 0.146471i
\(120\) −2.66729 11.6862i −0.243489 1.06680i
\(121\) −3.24374 14.2117i −0.294885 1.29198i
\(122\) −3.23563 4.05735i −0.292940 0.367335i
\(123\) −4.17408 5.23413i −0.376364 0.471946i
\(124\) 2.80447 + 12.2872i 0.251849 + 1.10342i
\(125\) 0.551359 + 2.41566i 0.0493151 + 0.216064i
\(126\) 2.27646 + 1.07719i 0.202803 + 0.0959638i
\(127\) −1.28624 + 5.63537i −0.114135 + 0.500059i 0.885254 + 0.465108i \(0.153985\pi\)
−0.999389 + 0.0349505i \(0.988873\pi\)
\(128\) −10.5668 −0.933985
\(129\) 2.10644 0.185462
\(130\) −0.302864 + 1.32694i −0.0265630 + 0.116380i
\(131\) 4.15183 1.99942i 0.362747 0.174690i −0.243627 0.969869i \(-0.578337\pi\)
0.606375 + 0.795179i \(0.292623\pi\)
\(132\) 13.2603 + 16.6279i 1.15416 + 1.44727i
\(133\) −14.8185 7.01190i −1.28492 0.608009i
\(134\) −1.15113 + 1.44347i −0.0994424 + 0.124697i
\(135\) −1.18603 + 5.19634i −0.102077 + 0.447230i
\(136\) 0.760939 0.954187i 0.0652500 0.0818209i
\(137\) 4.65077 2.23970i 0.397342 0.191350i −0.224532 0.974467i \(-0.572085\pi\)
0.621875 + 0.783117i \(0.286371\pi\)
\(138\) 3.17202 + 3.97759i 0.270021 + 0.338595i
\(139\) −19.3356 9.31153i −1.64002 0.789793i −0.999766 0.0216328i \(-0.993114\pi\)
−0.640257 0.768161i \(-0.721172\pi\)
\(140\) −9.80320 + 12.4666i −0.828522 + 1.05362i
\(141\) −26.2527 + 12.6426i −2.21087 + 1.06470i
\(142\) −0.717827 0.345687i −0.0602387 0.0290094i
\(143\) −1.12538 4.93059i −0.0941087 0.412317i
\(144\) −6.19172 2.98177i −0.515977 0.248481i
\(145\) −12.5175 + 15.6964i −1.03952 + 1.30352i
\(146\) 3.70623 0.306730
\(147\) −3.79799 15.6513i −0.313253 1.29090i
\(148\) 2.72784 0.224227
\(149\) 7.01154 8.79219i 0.574408 0.720284i −0.406740 0.913544i \(-0.633335\pi\)
0.981148 + 0.193260i \(0.0619060\pi\)
\(150\) −4.95146 2.38450i −0.404285 0.194693i
\(151\) −3.81536 16.7162i −0.310490 1.36034i −0.853708 0.520752i \(-0.825652\pi\)
0.543218 0.839591i \(-0.317206\pi\)
\(152\) −8.86839 4.27079i −0.719321 0.346407i
\(153\) 1.58762 0.764558i 0.128352 0.0618108i
\(154\) −1.19868 + 5.42221i −0.0965921 + 0.436934i
\(155\) 20.3744 + 9.81180i 1.63651 + 0.788103i
\(156\) 2.62196 + 3.28784i 0.209925 + 0.263238i
\(157\) 5.38859 2.59501i 0.430057 0.207104i −0.206317 0.978485i \(-0.566148\pi\)
0.636374 + 0.771381i \(0.280434\pi\)
\(158\) −1.27234 + 1.59547i −0.101222 + 0.126929i
\(159\) 3.00287 13.1564i 0.238143 1.04337i
\(160\) −9.03918 + 11.3348i −0.714610 + 0.896092i
\(161\) 3.04286 13.7644i 0.239811 1.08478i
\(162\) −2.74803 3.44592i −0.215906 0.270737i
\(163\) 17.1827 8.27474i 1.34585 0.648128i 0.384416 0.923160i \(-0.374403\pi\)
0.961435 + 0.275032i \(0.0886884\pi\)
\(164\) −1.18344 + 5.18498i −0.0924110 + 0.404879i
\(165\) 38.1610 2.97083
\(166\) 4.07308 0.316133
\(167\) 1.27620 5.59138i 0.0987550 0.432674i −0.901245 0.433310i \(-0.857345\pi\)
1.00000 0.000636464i \(0.000202593\pi\)
\(168\) −2.21616 9.41277i −0.170980 0.726211i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −0.232682 1.01944i −0.0178459 0.0781878i
\(171\) −8.86096 11.1113i −0.677614 0.849701i
\(172\) −1.04333 1.30830i −0.0795533 0.0997567i
\(173\) 3.05692 + 13.3933i 0.232413 + 1.01827i 0.947631 + 0.319368i \(0.103471\pi\)
−0.715217 + 0.698902i \(0.753672\pi\)
\(174\) −1.30071 5.69879i −0.0986067 0.432024i
\(175\) 3.48981 + 14.8224i 0.263805 + 1.12047i
\(176\) 3.37191 14.7733i 0.254167 1.11358i
\(177\) 11.9707 0.899776
\(178\) 5.87484 0.440338
\(179\) −3.43318 + 15.0417i −0.256608 + 1.12427i 0.668243 + 0.743943i \(0.267046\pi\)
−0.924851 + 0.380329i \(0.875811\pi\)
\(180\) −12.3871 + 5.96531i −0.923279 + 0.444628i
\(181\) −11.5249 14.4517i −0.856637 1.07419i −0.996465 0.0840128i \(-0.973226\pi\)
0.139828 0.990176i \(-0.455345\pi\)
\(182\) −0.237015 + 1.07214i −0.0175687 + 0.0794720i
\(183\) −17.9380 + 22.4935i −1.32601 + 1.66277i
\(184\) 1.88342 8.25179i 0.138847 0.608330i
\(185\) 3.05172 3.82673i 0.224367 0.281347i
\(186\) −5.93209 + 2.85674i −0.434962 + 0.209467i
\(187\) 2.42253 + 3.03776i 0.177153 + 0.222143i
\(188\) 20.8553 + 10.0434i 1.52103 + 0.732490i
\(189\) −0.928159 + 4.19853i −0.0675137 + 0.305398i
\(190\) −7.59828 + 3.65914i −0.551237 + 0.265462i
\(191\) 11.6578 + 5.61410i 0.843529 + 0.406222i 0.805172 0.593042i \(-0.202073\pi\)
0.0383574 + 0.999264i \(0.487787\pi\)
\(192\) 2.12873 + 9.32656i 0.153628 + 0.673087i
\(193\) 3.73622 + 1.79927i 0.268939 + 0.129514i 0.563493 0.826121i \(-0.309457\pi\)
−0.294555 + 0.955635i \(0.595171\pi\)
\(194\) 3.81663 4.78590i 0.274018 0.343607i
\(195\) 7.54558 0.540350
\(196\) −7.83975 + 10.1111i −0.559982 + 0.722219i
\(197\) −10.5859 −0.754217 −0.377109 0.926169i \(-0.623082\pi\)
−0.377109 + 0.926169i \(0.623082\pi\)
\(198\) −3.00152 + 3.76379i −0.213309 + 0.267481i
\(199\) 1.50836 + 0.726387i 0.106925 + 0.0514922i 0.486582 0.873635i \(-0.338244\pi\)
−0.379657 + 0.925127i \(0.623958\pi\)
\(200\) 2.03452 + 8.91383i 0.143863 + 0.630303i
\(201\) 9.22188 + 4.44102i 0.650461 + 0.313246i
\(202\) 5.00737 2.41142i 0.352317 0.169667i
\(203\) −10.0116 + 12.7316i −0.702677 + 0.893584i
\(204\) −2.91085 1.40179i −0.203800 0.0981451i
\(205\) 5.94976 + 7.46077i 0.415550 + 0.521083i
\(206\) −0.740917 + 0.356807i −0.0516221 + 0.0248599i
\(207\) 7.61941 9.55444i 0.529586 0.664079i
\(208\) 0.666728 2.92113i 0.0462293 0.202544i
\(209\) 19.5382 24.5001i 1.35148 1.69471i
\(210\) −7.48909 3.54374i −0.516797 0.244541i
\(211\) 11.7776 + 14.7687i 0.810806 + 1.01672i 0.999399 + 0.0346627i \(0.0110357\pi\)
−0.188594 + 0.982055i \(0.560393\pi\)
\(212\) −9.65871 + 4.65139i −0.663363 + 0.319459i
\(213\) −0.982870 + 4.30624i −0.0673452 + 0.295058i
\(214\) 0.735378 0.0502694
\(215\) −3.00254 −0.204771
\(216\) −0.574496 + 2.51703i −0.0390895 + 0.171262i
\(217\) 16.4905 + 7.80310i 1.11945 + 0.529709i
\(218\) −0.836179 3.66354i −0.0566332 0.248126i
\(219\) −4.57213 20.0318i −0.308956 1.35363i
\(220\) −18.9013 23.7015i −1.27433 1.59795i
\(221\) 0.479008 + 0.600657i 0.0322216 + 0.0404046i
\(222\) 0.317109 + 1.38934i 0.0212829 + 0.0932467i
\(223\) 1.30483 + 5.71682i 0.0873776 + 0.382826i 0.999641 0.0267768i \(-0.00852434\pi\)
−0.912264 + 0.409603i \(0.865667\pi\)
\(224\) −7.22963 + 9.19381i −0.483050 + 0.614287i
\(225\) −2.93751 + 12.8701i −0.195834 + 0.858004i
\(226\) −3.41431 −0.227117
\(227\) −20.5925 −1.36677 −0.683387 0.730057i \(-0.739494\pi\)
−0.683387 + 0.730057i \(0.739494\pi\)
\(228\) −5.79823 + 25.4037i −0.383997 + 1.68240i
\(229\) 21.2986 10.2569i 1.40745 0.677793i 0.432793 0.901493i \(-0.357528\pi\)
0.974658 + 0.223701i \(0.0718138\pi\)
\(230\) −4.52143 5.66969i −0.298134 0.373848i
\(231\) 30.7852 0.210295i 2.02552 0.0138364i
\(232\) −6.06329 + 7.60312i −0.398074 + 0.499169i
\(233\) −3.39982 + 14.8956i −0.222729 + 0.975842i 0.732684 + 0.680569i \(0.238268\pi\)
−0.955413 + 0.295272i \(0.904590\pi\)
\(234\) −0.593491 + 0.744215i −0.0387977 + 0.0486508i
\(235\) 37.4208 18.0209i 2.44106 1.17555i
\(236\) −5.92917 7.43494i −0.385956 0.483973i
\(237\) 10.1929 + 4.90866i 0.662103 + 0.318852i
\(238\) −0.193327 0.821125i −0.0125315 0.0532256i
\(239\) −19.9247 + 9.59522i −1.28882 + 0.620663i −0.947642 0.319336i \(-0.896540\pi\)
−0.341178 + 0.939999i \(0.610826\pi\)
\(240\) 20.3695 + 9.80944i 1.31485 + 0.633196i
\(241\) −3.10157 13.5889i −0.199790 0.875335i −0.971062 0.238830i \(-0.923236\pi\)
0.771272 0.636506i \(-0.219621\pi\)
\(242\) −5.45063 2.62488i −0.350380 0.168734i
\(243\) −12.1949 + 15.2919i −0.782303 + 0.980977i
\(244\) 22.8553 1.46316
\(245\) 5.41368 + 22.3095i 0.345867 + 1.42530i
\(246\) −2.77839 −0.177144
\(247\) 3.86329 4.84441i 0.245815 0.308243i
\(248\) 9.86907 + 4.75269i 0.626686 + 0.301796i
\(249\) −5.02469 22.0146i −0.318427 1.39512i
\(250\) 0.926479 + 0.446169i 0.0585957 + 0.0282182i
\(251\) 9.05520 4.36075i 0.571559 0.275248i −0.125699 0.992068i \(-0.540117\pi\)
0.697258 + 0.716820i \(0.254403\pi\)
\(252\) −9.96004 + 4.88060i −0.627424 + 0.307449i
\(253\) 24.2776 + 11.6915i 1.52632 + 0.735036i
\(254\) 1.49569 + 1.87553i 0.0938479 + 0.117682i
\(255\) −5.22295 + 2.51524i −0.327074 + 0.157510i
\(256\) 2.45056 3.07291i 0.153160 0.192057i
\(257\) 3.56554 15.6216i 0.222412 0.974451i −0.733244 0.679966i \(-0.761995\pi\)
0.955656 0.294485i \(-0.0951482\pi\)
\(258\) 0.545055 0.683478i 0.0339337 0.0425515i
\(259\) 2.44079 3.10392i 0.151664 0.192868i
\(260\) −3.73736 4.68651i −0.231781 0.290645i
\(261\) −12.6504 + 6.09212i −0.783041 + 0.377093i
\(262\) 0.425562 1.86451i 0.0262913 0.115190i
\(263\) −6.75499 −0.416531 −0.208265 0.978072i \(-0.566782\pi\)
−0.208265 + 0.978072i \(0.566782\pi\)
\(264\) 18.4846 1.13765
\(265\) −4.28032 + 18.7533i −0.262938 + 1.15201i
\(266\) −6.10952 + 2.99377i −0.374599 + 0.183560i
\(267\) −7.24739 31.7529i −0.443533 1.94325i
\(268\) −1.80936 7.92731i −0.110524 0.484237i
\(269\) −2.72836 3.42126i −0.166351 0.208598i 0.691668 0.722216i \(-0.256876\pi\)
−0.858019 + 0.513618i \(0.828305\pi\)
\(270\) 1.37916 + 1.72942i 0.0839333 + 0.105249i
\(271\) −7.01062 30.7155i −0.425865 1.86584i −0.496037 0.868301i \(-0.665212\pi\)
0.0701724 0.997535i \(-0.477645\pi\)
\(272\) 0.512227 + 2.24421i 0.0310583 + 0.136075i
\(273\) 6.08717 0.0415816i 0.368412 0.00251663i
\(274\) 0.476703 2.08857i 0.0287987 0.126175i
\(275\) −29.1079 −1.75528
\(276\) −22.4061 −1.34869
\(277\) 1.04145 4.56290i 0.0625747 0.274158i −0.933956 0.357389i \(-0.883667\pi\)
0.996530 + 0.0832315i \(0.0265241\pi\)
\(278\) −8.02452 + 3.86441i −0.481279 + 0.231772i
\(279\) 9.86080 + 12.3651i 0.590351 + 0.740276i
\(280\) 3.15893 + 13.4170i 0.188782 + 0.801821i
\(281\) −13.5750 + 17.0225i −0.809818 + 1.01548i 0.189616 + 0.981858i \(0.439276\pi\)
−0.999435 + 0.0336217i \(0.989296\pi\)
\(282\) −2.69089 + 11.7896i −0.160240 + 0.702059i
\(283\) 9.61416 12.0558i 0.571502 0.716641i −0.409135 0.912474i \(-0.634169\pi\)
0.980637 + 0.195832i \(0.0627409\pi\)
\(284\) 3.16139 1.52245i 0.187594 0.0903406i
\(285\) 29.1508 + 36.5539i 1.72674 + 2.16527i
\(286\) −1.89103 0.910672i −0.111819 0.0538491i
\(287\) 4.84091 + 5.98597i 0.285750 + 0.353340i
\(288\) −9.13518 + 4.39927i −0.538295 + 0.259229i
\(289\) 14.7847 + 7.11993i 0.869687 + 0.418819i
\(290\) 1.85404 + 8.12310i 0.108873 + 0.477005i
\(291\) −30.5756 14.7244i −1.79237 0.863162i
\(292\) −10.1770 + 12.7616i −0.595565 + 0.746815i
\(293\) −11.4466 −0.668718 −0.334359 0.942446i \(-0.608520\pi\)
−0.334359 + 0.942446i \(0.608520\pi\)
\(294\) −6.06113 2.81754i −0.353493 0.164322i
\(295\) −17.0632 −0.993457
\(296\) 1.47821 1.85361i 0.0859190 0.107739i
\(297\) −7.40535 3.56623i −0.429702 0.206934i
\(298\) −1.03852 4.55007i −0.0601601 0.263579i
\(299\) 4.80041 + 2.31176i 0.277615 + 0.133692i
\(300\) 21.8068 10.5016i 1.25902 0.606310i
\(301\) −2.42221 + 0.0165462i −0.139614 + 0.000953705i
\(302\) −6.41115 3.08745i −0.368920 0.177663i
\(303\) −19.2107 24.0895i −1.10363 1.38391i
\(304\) 16.7269 8.05526i 0.959354 0.462001i
\(305\) 25.5689 32.0624i 1.46407 1.83589i
\(306\) 0.162731 0.712970i 0.00930269 0.0407578i
\(307\) 9.27745 11.6336i 0.529492 0.663962i −0.443102 0.896471i \(-0.646122\pi\)
0.972594 + 0.232509i \(0.0746936\pi\)
\(308\) −15.3787 19.0163i −0.876282 1.08356i
\(309\) 2.84252 + 3.56441i 0.161706 + 0.202772i
\(310\) 8.45564 4.07202i 0.480248 0.231275i
\(311\) −2.89520 + 12.6847i −0.164172 + 0.719283i 0.824083 + 0.566469i \(0.191691\pi\)
−0.988255 + 0.152814i \(0.951166\pi\)
\(312\) 3.65497 0.206922
\(313\) −33.1322 −1.87274 −0.936371 0.351013i \(-0.885837\pi\)
−0.936371 + 0.351013i \(0.885837\pi\)
\(314\) 0.552329 2.41991i 0.0311698 0.136564i
\(315\) −4.29588 + 19.4324i −0.242046 + 1.09489i
\(316\) −1.99988 8.76205i −0.112502 0.492904i
\(317\) −1.06994 4.68773i −0.0600941 0.263289i 0.935952 0.352128i \(-0.114542\pi\)
−0.996046 + 0.0888383i \(0.971685\pi\)
\(318\) −3.49186 4.37866i −0.195814 0.245543i
\(319\) −19.3031 24.2054i −1.08077 1.35524i
\(320\) −3.03430 13.2941i −0.169623 0.743166i
\(321\) −0.907186 3.97464i −0.0506342 0.221843i
\(322\) −3.67877 4.54894i −0.205010 0.253502i
\(323\) −1.05928 + 4.64103i −0.0589401 + 0.258234i
\(324\) 19.4111 1.07840
\(325\) −5.75552 −0.319259
\(326\) 1.76122 7.71641i 0.0975450 0.427373i
\(327\) −18.7695 + 9.03893i −1.03796 + 0.499854i
\(328\) 2.88198 + 3.61389i 0.159131 + 0.199544i
\(329\) 30.0888 14.7440i 1.65885 0.812865i
\(330\) 9.87439 12.3821i 0.543567 0.681612i
\(331\) −0.673520 + 2.95088i −0.0370200 + 0.162195i −0.990059 0.140652i \(-0.955080\pi\)
0.953039 + 0.302847i \(0.0979372\pi\)
\(332\) −11.1844 + 14.0247i −0.613821 + 0.769708i
\(333\) 3.08413 1.48524i 0.169009 0.0813905i
\(334\) −1.48401 1.86089i −0.0812015 0.101823i
\(335\) −13.1449 6.33027i −0.718185 0.345859i
\(336\) 16.4866 + 7.80122i 0.899415 + 0.425592i
\(337\) 10.6106 5.10981i 0.577998 0.278349i −0.121958 0.992535i \(-0.538917\pi\)
0.699956 + 0.714186i \(0.253203\pi\)
\(338\) −0.373914 0.180067i −0.0203382 0.00979438i
\(339\) 4.21201 + 18.4540i 0.228765 + 1.00228i
\(340\) 4.14915 + 1.99813i 0.225019 + 0.108364i
\(341\) −21.7428 + 27.2646i −1.17744 + 1.47646i
\(342\) −5.89811 −0.318933
\(343\) 4.49027 + 17.9677i 0.242452 + 0.970163i
\(344\) −1.45439 −0.0784153
\(345\) −25.0663 + 31.4322i −1.34953 + 1.69225i
\(346\) 5.13671 + 2.47371i 0.276151 + 0.132987i
\(347\) 5.48035 + 24.0110i 0.294201 + 1.28898i 0.878618 + 0.477525i \(0.158466\pi\)
−0.584417 + 0.811453i \(0.698677\pi\)
\(348\) 23.1942 + 11.1697i 1.24334 + 0.598760i
\(349\) 24.4767 11.7873i 1.31021 0.630962i 0.357232 0.934016i \(-0.383721\pi\)
0.952973 + 0.303054i \(0.0980063\pi\)
\(350\) 5.71244 + 2.70305i 0.305343 + 0.144484i
\(351\) −1.46426 0.705152i −0.0781565 0.0376382i
\(352\) −13.9393 17.4793i −0.742965 0.931649i
\(353\) −1.26805 + 0.610659i −0.0674913 + 0.0325021i −0.467325 0.884086i \(-0.654782\pi\)
0.399834 + 0.916588i \(0.369068\pi\)
\(354\) 3.09750 3.88415i 0.164631 0.206440i
\(355\) 1.40099 6.13814i 0.0743568 0.325779i
\(356\) −16.1318 + 20.2287i −0.854985 + 1.07212i
\(357\) −4.19960 + 2.05788i −0.222266 + 0.108914i
\(358\) 3.99224 + 5.00611i 0.210996 + 0.264581i
\(359\) −10.8982 + 5.24831i −0.575186 + 0.276995i −0.698779 0.715338i \(-0.746273\pi\)
0.123593 + 0.992333i \(0.460558\pi\)
\(360\) −2.65899 + 11.6498i −0.140141 + 0.613998i
\(361\) 19.3933 1.02070
\(362\) −7.67129 −0.403194
\(363\) −7.46316 + 32.6982i −0.391714 + 1.71621i
\(364\) −3.04083 3.76010i −0.159383 0.197083i
\(365\) 6.51715 + 28.5535i 0.341123 + 1.49456i
\(366\) 2.65691 + 11.6407i 0.138879 + 0.608468i
\(367\) −6.26537 7.85652i −0.327050 0.410107i 0.590938 0.806717i \(-0.298758\pi\)
−0.917987 + 0.396610i \(0.870187\pi\)
\(368\) 9.95351 + 12.4813i 0.518862 + 0.650633i
\(369\) 1.48508 + 6.50655i 0.0773100 + 0.338717i
\(370\) −0.452009 1.98038i −0.0234988 0.102955i
\(371\) −3.34968 + 15.1523i −0.173906 + 0.786666i
\(372\) 6.45249 28.2702i 0.334546 1.46574i
\(373\) −24.1044 −1.24808 −0.624039 0.781393i \(-0.714509\pi\)
−0.624039 + 0.781393i \(0.714509\pi\)
\(374\) 1.61251 0.0833808
\(375\) 1.26856 5.55793i 0.0655082 0.287010i
\(376\) 18.1261 8.72906i 0.934781 0.450167i
\(377\) −3.81682 4.78614i −0.196576 0.246499i
\(378\) 1.12213 + 1.38756i 0.0577162 + 0.0713682i
\(379\) 12.8250 16.0821i 0.658778 0.826081i −0.334432 0.942420i \(-0.608544\pi\)
0.993210 + 0.116339i \(0.0371158\pi\)
\(380\) 8.26485 36.2107i 0.423978 1.85757i
\(381\) 8.29194 10.3978i 0.424809 0.532694i
\(382\) 4.83814 2.32993i 0.247541 0.119209i
\(383\) 23.0905 + 28.9546i 1.17987 + 1.47951i 0.842964 + 0.537971i \(0.180809\pi\)
0.336906 + 0.941538i \(0.390620\pi\)
\(384\) 21.9044 + 10.5486i 1.11780 + 0.538306i
\(385\) −43.8815 + 0.299755i −2.23641 + 0.0152770i
\(386\) 1.55058 0.746719i 0.0789223 0.0380070i
\(387\) −1.89193 0.911107i −0.0961724 0.0463142i
\(388\) 5.99901 + 26.2834i 0.304554 + 1.33434i
\(389\) 6.21452 + 2.99275i 0.315089 + 0.151739i 0.584743 0.811218i \(-0.301195\pi\)
−0.269655 + 0.962957i \(0.586910\pi\)
\(390\) 1.95247 2.44832i 0.0988670 0.123975i
\(391\) −4.09338 −0.207011
\(392\) 2.62231 + 10.8064i 0.132447 + 0.545805i
\(393\) −10.6025 −0.534824
\(394\) −2.73918 + 3.43482i −0.137998 + 0.173044i
\(395\) −14.5291 6.99684i −0.731038 0.352049i
\(396\) −4.71782 20.6701i −0.237079 1.03871i
\(397\) −13.5776 6.53864i −0.681441 0.328165i 0.0609410 0.998141i \(-0.480590\pi\)
−0.742382 + 0.669977i \(0.766304\pi\)
\(398\) 0.625988 0.301460i 0.0313779 0.0151108i
\(399\) 23.7180 + 29.3281i 1.18738 + 1.46824i
\(400\) −15.5372 7.48232i −0.776860 0.374116i
\(401\) −13.7418 17.2317i −0.686234 0.860510i 0.309678 0.950842i \(-0.399779\pi\)
−0.995912 + 0.0903312i \(0.971207\pi\)
\(402\) 3.82720 1.84308i 0.190883 0.0919246i
\(403\) −4.29921 + 5.39104i −0.214159 + 0.268547i
\(404\) −5.44665 + 23.8633i −0.270981 + 1.18724i
\(405\) 21.7158 27.2308i 1.07907 1.35311i
\(406\) 1.54046 + 6.54286i 0.0764518 + 0.324716i
\(407\) 4.70603 + 5.90118i 0.233269 + 0.292511i
\(408\) −2.52992 + 1.21835i −0.125250 + 0.0603171i
\(409\) −4.36153 + 19.1091i −0.215664 + 0.944884i 0.744977 + 0.667090i \(0.232460\pi\)
−0.960641 + 0.277794i \(0.910397\pi\)
\(410\) 3.96034 0.195587
\(411\) −11.8766 −0.585830
\(412\) 0.805915 3.53094i 0.0397046 0.173957i
\(413\) −13.7652 + 0.0940305i −0.677342 + 0.00462694i
\(414\) −1.12856 4.94454i −0.0554657 0.243011i
\(415\) 7.16223 + 31.3798i 0.351580 + 1.54037i
\(416\) −2.75622 3.45619i −0.135135 0.169453i
\(417\) 30.7860 + 38.6045i 1.50760 + 1.89047i
\(418\) −2.89392 12.6791i −0.141546 0.620156i
\(419\) −5.68098 24.8900i −0.277534 1.21596i −0.900900 0.434026i \(-0.857093\pi\)
0.623366 0.781930i \(-0.285765\pi\)
\(420\) 32.7665 16.0562i 1.59884 0.783461i
\(421\) −3.89438 + 17.0624i −0.189801 + 0.831571i 0.786920 + 0.617055i \(0.211674\pi\)
−0.976721 + 0.214516i \(0.931183\pi\)
\(422\) 7.83953 0.381623
\(423\) 29.0476 1.41234
\(424\) −2.07332 + 9.08382i −0.100689 + 0.441149i
\(425\) 3.98390 1.91854i 0.193247 0.0930631i
\(426\) 1.14292 + 1.43318i 0.0553747 + 0.0694377i
\(427\) 20.4503 26.0063i 0.989658 1.25853i
\(428\) −2.01929 + 2.53211i −0.0976060 + 0.122394i
\(429\) −2.58925 + 11.3443i −0.125010 + 0.547706i
\(430\) −0.776926 + 0.974235i −0.0374667 + 0.0469818i
\(431\) 2.85461 1.37471i 0.137502 0.0662174i −0.363868 0.931451i \(-0.618544\pi\)
0.501370 + 0.865233i \(0.332830\pi\)
\(432\) −3.03610 3.80715i −0.146075 0.183172i
\(433\) −29.8973 14.3978i −1.43677 0.691912i −0.456528 0.889709i \(-0.650907\pi\)
−0.980243 + 0.197797i \(0.936621\pi\)
\(434\) 6.79890 3.33158i 0.326358 0.159921i
\(435\) 41.6173 20.0419i 1.99540 0.960933i
\(436\) 14.9107 + 7.18059i 0.714091 + 0.343888i
\(437\) 7.34628 + 32.1861i 0.351420 + 1.53967i
\(438\) −7.68280 3.69984i −0.367098 0.176785i
\(439\) 8.21384 10.2998i 0.392025 0.491584i −0.546178 0.837669i \(-0.683918\pi\)
0.938203 + 0.346085i \(0.112489\pi\)
\(440\) −26.3481 −1.25610
\(441\) −3.35849 + 15.7002i −0.159928 + 0.747629i
\(442\) 0.318842 0.0151658
\(443\) 7.10300 8.90688i 0.337474 0.423178i −0.583919 0.811812i \(-0.698481\pi\)
0.921392 + 0.388634i \(0.127053\pi\)
\(444\) −5.65465 2.72314i −0.268358 0.129234i
\(445\) 10.3305 + 45.2608i 0.489712 + 2.14557i
\(446\) 2.19257 + 1.05589i 0.103821 + 0.0499976i
\(447\) −23.3115 + 11.2262i −1.10260 + 0.530983i
\(448\) −2.52109 10.7079i −0.119111 0.505903i
\(449\) −32.0070 15.4138i −1.51050 0.727420i −0.518672 0.854973i \(-0.673573\pi\)
−0.991832 + 0.127553i \(0.959288\pi\)
\(450\) 3.41585 + 4.28334i 0.161025 + 0.201919i
\(451\) −13.2584 + 6.38491i −0.624314 + 0.300654i
\(452\) 9.37543 11.7564i 0.440983 0.552975i
\(453\) −8.77834 + 38.4604i −0.412442 + 1.80703i
\(454\) −5.32844 + 6.68166i −0.250076 + 0.313586i
\(455\) −8.67670 + 0.0592707i −0.406770 + 0.00277866i
\(456\) 14.1202 + 17.7062i 0.661239 + 0.829168i
\(457\) 25.9559 12.4997i 1.21416 0.584711i 0.286484 0.958085i \(-0.407513\pi\)
0.927681 + 0.373374i \(0.121799\pi\)
\(458\) 2.18310 9.56479i 0.102010 0.446933i
\(459\) 1.24860 0.0582796
\(460\) 31.9378 1.48911
\(461\) 3.60008 15.7730i 0.167673 0.734622i −0.819251 0.573435i \(-0.805611\pi\)
0.986924 0.161187i \(-0.0515322\pi\)
\(462\) 7.89764 10.0433i 0.367432 0.467257i
\(463\) 0.281743 + 1.23440i 0.0130937 + 0.0573673i 0.981053 0.193741i \(-0.0620621\pi\)
−0.967959 + 0.251108i \(0.919205\pi\)
\(464\) −4.08151 17.8823i −0.189479 0.830163i
\(465\) −32.4400 40.6785i −1.50437 1.88642i
\(466\) 3.95345 + 4.95747i 0.183140 + 0.229650i
\(467\) 0.310324 + 1.35962i 0.0143601 + 0.0629156i 0.981600 0.190947i \(-0.0611560\pi\)
−0.967240 + 0.253863i \(0.918299\pi\)
\(468\) −0.932856 4.08711i −0.0431213 0.188927i
\(469\) −10.6392 5.03432i −0.491271 0.232463i
\(470\) 3.83562 16.8049i 0.176924 0.775154i
\(471\) −13.7608 −0.634062
\(472\) −8.26516 −0.380435
\(473\) 1.03032 4.51411i 0.0473740 0.207559i
\(474\) 4.23020 2.03716i 0.194300 0.0935698i
\(475\) −22.2353 27.8821i −1.02022 1.27932i
\(476\) 3.35822 + 1.58906i 0.153924 + 0.0728347i
\(477\) −8.38768 + 10.5178i −0.384046 + 0.481578i
\(478\) −2.04227 + 8.94779i −0.0934114 + 0.409262i
\(479\) 11.2425 14.0976i 0.513682 0.644137i −0.455572 0.890199i \(-0.650565\pi\)
0.969254 + 0.246062i \(0.0791367\pi\)
\(480\) 30.0529 14.4727i 1.37172 0.660586i
\(481\) 0.930525 + 1.16684i 0.0424283 + 0.0532034i
\(482\) −5.21173 2.50984i −0.237388 0.114320i
\(483\) −20.0483 + 25.4951i −0.912229 + 1.16007i
\(484\) 24.0052 11.5603i 1.09114 0.525468i
\(485\) 43.5827 + 20.9883i 1.97899 + 0.953031i
\(486\) 1.80627 + 7.91376i 0.0819338 + 0.358976i
\(487\) 16.9738 + 8.17414i 0.769155 + 0.370405i 0.776949 0.629564i \(-0.216767\pi\)
−0.00779358 + 0.999970i \(0.502481\pi\)
\(488\) 12.3852 15.5306i 0.560652 0.703036i
\(489\) −43.8791 −1.98428
\(490\) 8.63959 + 4.01614i 0.390297 + 0.181431i
\(491\) 32.3399 1.45948 0.729740 0.683725i \(-0.239641\pi\)
0.729740 + 0.683725i \(0.239641\pi\)
\(492\) 7.62923 9.56676i 0.343952 0.431303i
\(493\) 4.23736 + 2.04060i 0.190841 + 0.0919042i
\(494\) −0.572217 2.50704i −0.0257452 0.112797i
\(495\) −34.2749 16.5059i −1.54054 0.741885i
\(496\) −18.6143 + 8.96419i −0.835808 + 0.402504i
\(497\) 1.09638 4.95948i 0.0491795 0.222463i
\(498\) −8.44325 4.06606i −0.378351 0.182204i
\(499\) −4.15094 5.20512i −0.185822 0.233013i 0.680191 0.733035i \(-0.261897\pi\)
−0.866013 + 0.500022i \(0.833325\pi\)
\(500\) −4.08032 + 1.96498i −0.182477 + 0.0878764i
\(501\) −8.22721 + 10.3166i −0.367565 + 0.460911i
\(502\) 0.928156 4.06652i 0.0414256 0.181497i
\(503\) −10.2232 + 12.8195i −0.455831 + 0.571594i −0.955638 0.294542i \(-0.904833\pi\)
0.499807 + 0.866137i \(0.333404\pi\)
\(504\) −2.08086 + 9.41279i −0.0926890 + 0.419279i
\(505\) 27.3831 + 34.3374i 1.21853 + 1.52799i
\(506\) 10.0755 4.85211i 0.447911 0.215703i
\(507\) −0.511974 + 2.24310i −0.0227376 + 0.0996197i
\(508\) −10.5650 −0.468747
\(509\) −28.2616 −1.25267 −0.626337 0.779552i \(-0.715447\pi\)
−0.626337 + 0.779552i \(0.715447\pi\)
\(510\) −0.535351 + 2.34553i −0.0237057 + 0.103862i
\(511\) 5.41487 + 22.9988i 0.239540 + 1.01741i
\(512\) −5.06565 22.1941i −0.223872 0.980848i
\(513\) −2.24082 9.81769i −0.0989348 0.433462i
\(514\) −4.14615 5.19911i −0.182879 0.229323i
\(515\) −4.05176 5.08074i −0.178542 0.223884i
\(516\) 0.856724 + 3.75355i 0.0377152 + 0.165241i
\(517\) 14.2523 + 62.4434i 0.626815 + 2.74626i
\(518\) −0.375558 1.59512i −0.0165011 0.0700857i
\(519\) 7.03333 30.8150i 0.308729 1.35263i
\(520\) −5.20982 −0.228466
\(521\) 13.3776 0.586084 0.293042 0.956100i \(-0.405332\pi\)
0.293042 + 0.956100i \(0.405332\pi\)
\(522\) −1.29666 + 5.68106i −0.0567535 + 0.248653i
\(523\) 15.3683 7.40096i 0.672007 0.323621i −0.0665787 0.997781i \(-0.521208\pi\)
0.738586 + 0.674160i \(0.235494\pi\)
\(524\) 5.25146 + 6.58512i 0.229411 + 0.287672i
\(525\) 7.56267 34.2097i 0.330062 1.49303i
\(526\) −1.74790 + 2.19179i −0.0762119 + 0.0955667i
\(527\) 1.17881 5.16471i 0.0513498 0.224978i
\(528\) −21.7376 + 27.2581i −0.946006 + 1.18625i
\(529\) −4.85456 + 2.33783i −0.211068 + 0.101645i
\(530\) 4.97733 + 6.24137i 0.216201 + 0.271108i
\(531\) −10.7517 5.17775i −0.466584 0.224695i
\(532\) 6.46787 29.2574i 0.280418 1.26847i
\(533\) −2.62159 + 1.26249i −0.113554 + 0.0546845i
\(534\) −12.1782 5.86470i −0.527001 0.253790i
\(535\) 1.29311 + 5.66548i 0.0559060 + 0.244940i
\(536\) −6.36722 3.06629i −0.275022 0.132444i
\(537\) 22.1326 27.7533i 0.955090 1.19765i
\(538\) −1.81608 −0.0782967
\(539\) −35.3985 + 0.483638i −1.52472 + 0.0208318i
\(540\) −9.74193 −0.419226
\(541\) −10.7530 + 13.4839i −0.462309 + 0.579717i −0.957269 0.289199i \(-0.906611\pi\)
0.494960 + 0.868916i \(0.335183\pi\)
\(542\) −11.7803 5.67310i −0.506008 0.243681i
\(543\) 9.46356 + 41.4625i 0.406120 + 1.77933i
\(544\) 3.05990 + 1.47357i 0.131192 + 0.0631788i
\(545\) 26.7542 12.8842i 1.14603 0.551897i
\(546\) 1.56160 1.98587i 0.0668304 0.0849872i
\(547\) −9.51115 4.58033i −0.406667 0.195841i 0.219356 0.975645i \(-0.429604\pi\)
−0.626024 + 0.779804i \(0.715319\pi\)
\(548\) 5.88254 + 7.37647i 0.251290 + 0.315107i
\(549\) 25.8405 12.4441i 1.10284 0.531102i
\(550\) −7.53187 + 9.44466i −0.321160 + 0.402722i
\(551\) 8.44055 36.9805i 0.359579 1.57542i
\(552\) −12.1418 + 15.2253i −0.516788 + 0.648031i
\(553\) −11.7595 5.56443i −0.500064 0.236624i
\(554\) −1.21104 1.51860i −0.0514522 0.0645191i
\(555\) −10.1461 + 4.88613i −0.430680 + 0.207405i
\(556\) 8.72848 38.2420i 0.370170 1.62182i
\(557\) −41.5895 −1.76220 −0.881101 0.472928i \(-0.843197\pi\)
−0.881101 + 0.472928i \(0.843197\pi\)
\(558\) 6.56364 0.277861
\(559\) 0.203725 0.892576i 0.00861664 0.0377520i
\(560\) −23.5001 11.1199i −0.993059 0.469902i
\(561\) −1.98924 8.71545i −0.0839859 0.367966i
\(562\) 2.01068 + 8.80939i 0.0848156 + 0.371601i
\(563\) 4.62499 + 5.79955i 0.194920 + 0.244422i 0.869681 0.493615i \(-0.164325\pi\)
−0.674761 + 0.738036i \(0.735753\pi\)
\(564\) −33.2058 41.6387i −1.39821 1.75331i
\(565\) −6.00383 26.3045i −0.252583 1.10664i
\(566\) −1.42402 6.23902i −0.0598558 0.262245i
\(567\) 17.3685 22.0873i 0.729409 0.927578i
\(568\) 0.678619 2.97323i 0.0284742 0.124754i
\(569\) −35.5673 −1.49106 −0.745530 0.666472i \(-0.767804\pi\)
−0.745530 + 0.666472i \(0.767804\pi\)
\(570\) 19.4036 0.812727
\(571\) 1.73556 7.60397i 0.0726308 0.318216i −0.925542 0.378646i \(-0.876390\pi\)
0.998172 + 0.0604294i \(0.0192470\pi\)
\(572\) 8.32831 4.01070i 0.348224 0.167696i
\(573\) −18.5615 23.2754i −0.775418 0.972343i
\(574\) 3.19488 0.0218243i 0.133352 0.000910930i
\(575\) 19.1198 23.9754i 0.797350 0.999845i
\(576\) 2.12210 9.29754i 0.0884210 0.387398i
\(577\) −21.8657 + 27.4187i −0.910279 + 1.14145i 0.0792114 + 0.996858i \(0.474760\pi\)
−0.989491 + 0.144596i \(0.953812\pi\)
\(578\) 6.13584 2.95486i 0.255217 0.122906i
\(579\) −5.94878 7.45954i −0.247223 0.310008i
\(580\) −33.0611 15.9214i −1.37279 0.661100i
\(581\) 5.95084 + 25.2752i 0.246883 + 1.04859i
\(582\) −12.6893 + 6.11083i −0.525987 + 0.253302i
\(583\) −26.7255 12.8703i −1.10686 0.533034i
\(584\) 3.15681 + 13.8309i 0.130630 + 0.572327i
\(585\) −6.77718 3.26372i −0.280202 0.134938i
\(586\) −2.96188 + 3.71409i −0.122354 + 0.153427i
\(587\) 41.3757 1.70776 0.853879 0.520471i \(-0.174244\pi\)
0.853879 + 0.520471i \(0.174244\pi\)
\(588\) 26.3449 13.1334i 1.08645 0.541613i
\(589\) −42.7255 −1.76047
\(590\) −4.41521 + 5.53649i −0.181771 + 0.227934i
\(591\) 21.9440 + 10.5677i 0.902656 + 0.434696i
\(592\) 0.995057 + 4.35963i 0.0408966 + 0.179180i
\(593\) 3.25025 + 1.56524i 0.133472 + 0.0642767i 0.499428 0.866356i \(-0.333544\pi\)
−0.365956 + 0.930632i \(0.619258\pi\)
\(594\) −3.07332 + 1.48003i −0.126100 + 0.0607264i
\(595\) 5.98614 2.93331i 0.245408 0.120254i
\(596\) 18.5188 + 8.91821i 0.758561 + 0.365304i
\(597\) −2.40160 3.01151i −0.0982909 0.123253i
\(598\) 1.99223 0.959409i 0.0814685 0.0392331i
\(599\) −2.76242 + 3.46397i −0.112870 + 0.141534i −0.835057 0.550163i \(-0.814565\pi\)
0.722187 + 0.691697i \(0.243137\pi\)
\(600\) 4.68101 20.5088i 0.191101 0.837270i
\(601\) −2.83698 + 3.55746i −0.115723 + 0.145112i −0.836319 0.548243i \(-0.815297\pi\)
0.720596 + 0.693355i \(0.243868\pi\)
\(602\) −0.621393 + 0.790216i −0.0253261 + 0.0322068i
\(603\) −6.36188 7.97755i −0.259076 0.324871i
\(604\) 28.2354 13.5975i 1.14888 0.553273i
\(605\) 10.6380 46.6083i 0.432498 1.89490i
\(606\) −12.7872 −0.519446
\(607\) 15.7737 0.640236 0.320118 0.947378i \(-0.396277\pi\)
0.320118 + 0.947378i \(0.396277\pi\)
\(608\) 6.09513 26.7045i 0.247190 1.08301i
\(609\) 33.4631 16.3975i 1.35599 0.664461i
\(610\) −3.78718 16.5927i −0.153338 0.671819i
\(611\) 2.81811 + 12.3469i 0.114009 + 0.499504i
\(612\) 2.00811 + 2.51808i 0.0811728 + 0.101788i
\(613\) −6.61502 8.29497i −0.267178 0.335031i 0.630086 0.776526i \(-0.283020\pi\)
−0.897264 + 0.441495i \(0.854448\pi\)
\(614\) −1.37414 6.02051i −0.0554559 0.242968i
\(615\) −4.88560 21.4052i −0.197006 0.863142i
\(616\) −21.2556 + 0.145197i −0.856411 + 0.00585016i
\(617\) −8.90012 + 38.9940i −0.358305 + 1.56984i 0.399109 + 0.916904i \(0.369320\pi\)
−0.757414 + 0.652935i \(0.773538\pi\)
\(618\) 1.89207 0.0761101
\(619\) −36.3724 −1.46193 −0.730964 0.682416i \(-0.760929\pi\)
−0.730964 + 0.682416i \(0.760929\pi\)
\(620\) −9.19743 + 40.2966i −0.369377 + 1.61835i
\(621\) 7.80167 3.75709i 0.313070 0.150767i
\(622\) 3.36666 + 4.22165i 0.134991 + 0.169273i
\(623\) 8.58323 + 36.4559i 0.343880 + 1.46057i
\(624\) −4.29818 + 5.38974i −0.172065 + 0.215762i
\(625\) 4.59541 20.1338i 0.183816 0.805351i
\(626\) −8.57316 + 10.7504i −0.342652 + 0.429673i
\(627\) −64.9593 + 31.2827i −2.59422 + 1.24931i
\(628\) 6.81577 + 8.54671i 0.271979 + 0.341051i
\(629\) −1.03305 0.497492i −0.0411905 0.0198363i
\(630\) 5.19366 + 6.42215i 0.206920 + 0.255865i
\(631\) −7.09408 + 3.41633i −0.282411 + 0.136002i −0.569727 0.821834i \(-0.692951\pi\)
0.287316 + 0.957836i \(0.407237\pi\)
\(632\) −7.03768 3.38917i −0.279944 0.134814i
\(633\) −9.67111 42.3719i −0.384392 1.68413i
\(634\) −1.79789 0.865816i −0.0714032 0.0343859i
\(635\) −11.8194 + 14.8211i −0.469038 + 0.588156i
\(636\) 24.6653 0.978042
\(637\) −6.99935 + 0.0956298i −0.277324 + 0.00378899i
\(638\) −12.8487 −0.508686
\(639\) 2.74537 3.44259i 0.108605 0.136187i
\(640\) −31.2227 15.0361i −1.23419 0.594352i
\(641\) 6.14095 + 26.9053i 0.242553 + 1.06269i 0.938684 + 0.344779i \(0.112046\pi\)
−0.696131 + 0.717915i \(0.745097\pi\)
\(642\) −1.52439 0.734109i −0.0601630 0.0289730i
\(643\) −37.5777 + 18.0965i −1.48192 + 0.713655i −0.987799 0.155737i \(-0.950225\pi\)
−0.494122 + 0.869393i \(0.664510\pi\)
\(644\) 25.7649 0.176000i 1.01528 0.00693538i
\(645\) 6.22408 + 2.99736i 0.245073 + 0.118021i
\(646\) 1.23178 + 1.54460i 0.0484637 + 0.0607715i
\(647\) 5.56408 2.67952i 0.218747 0.105343i −0.321302 0.946977i \(-0.604120\pi\)
0.540048 + 0.841634i \(0.318406\pi\)
\(648\) 10.5188 13.1902i 0.413218 0.518159i
\(649\) 5.85520 25.6533i 0.229837 1.00698i
\(650\) −1.48928 + 1.86750i −0.0584143 + 0.0732492i
\(651\) −26.3942 32.6374i −1.03447 1.27916i
\(652\) 21.7336 + 27.2530i 0.851152 + 1.06731i
\(653\) 20.0212 9.64168i 0.783488 0.377308i 0.00102086 0.999999i \(-0.499675\pi\)
0.782468 + 0.622691i \(0.213961\pi\)
\(654\) −1.92387 + 8.42904i −0.0752294 + 0.329601i
\(655\) 15.1128 0.590507
\(656\) −8.71832 −0.340393
\(657\) −4.55791 + 19.9695i −0.177821 + 0.779084i
\(658\) 3.00167 13.5780i 0.117017 0.529327i
\(659\) 1.06072 + 4.64732i 0.0413198 + 0.181034i 0.991377 0.131043i \(-0.0418325\pi\)
−0.950057 + 0.312077i \(0.898975\pi\)
\(660\) 15.5207 + 68.0005i 0.604141 + 2.64692i
\(661\) −21.5493 27.0220i −0.838172 1.05103i −0.997957 0.0638829i \(-0.979652\pi\)
0.159785 0.987152i \(-0.448920\pi\)
\(662\) 0.783196 + 0.982097i 0.0304398 + 0.0381703i
\(663\) −0.393334 1.72331i −0.0152758 0.0669277i
\(664\) 3.46928 + 15.1999i 0.134634 + 0.589871i
\(665\) −33.8077 41.8045i −1.31101 1.62111i
\(666\) 0.316122 1.38502i 0.0122495 0.0536685i
\(667\) 32.6167 1.26292
\(668\) 10.4825 0.405582
\(669\) 3.00213 13.1532i 0.116069 0.508532i
\(670\) −5.45532 + 2.62714i −0.210757 + 0.101495i
\(671\) 39.4297 + 49.4433i 1.52217 + 1.90874i
\(672\) 24.1645 11.8410i 0.932167 0.456778i
\(673\) 15.6063 19.5696i 0.601577 0.754354i −0.384046 0.923314i \(-0.625469\pi\)
0.985623 + 0.168960i \(0.0540409\pi\)
\(674\) 1.08759 4.76503i 0.0418923 0.183542i
\(675\) −5.83208 + 7.31319i −0.224477 + 0.281485i
\(676\) 1.64676 0.793037i 0.0633369 0.0305014i
\(677\) −18.2604 22.8978i −0.701805 0.880036i 0.295352 0.955389i \(-0.404563\pi\)
−0.997157 + 0.0753528i \(0.975992\pi\)
\(678\) 7.07766 + 3.40842i 0.271816 + 0.130900i
\(679\) 35.2747 + 16.6915i 1.35372 + 0.640562i
\(680\) 3.60617 1.73664i 0.138290 0.0665971i
\(681\) 42.6870 + 20.5570i 1.63577 + 0.787746i
\(682\) 3.22047 + 14.1098i 0.123318 + 0.540292i
\(683\) 39.2224 + 18.8885i 1.50080 + 0.722748i 0.990534 0.137268i \(-0.0438321\pi\)
0.510268 + 0.860016i \(0.329546\pi\)
\(684\) 16.1957 20.3088i 0.619260 0.776527i
\(685\) 16.9290 0.646824
\(686\) 6.99186 + 3.19229i 0.266951 + 0.121882i
\(687\) −54.3899 −2.07510
\(688\) 1.71033 2.14469i 0.0652058 0.0817655i
\(689\) −5.28444 2.54485i −0.201321 0.0969512i
\(690\) 3.71273 + 16.2665i 0.141341 + 0.619257i
\(691\) −23.9400 11.5289i −0.910720 0.438579i −0.0809708 0.996716i \(-0.525802\pi\)
−0.829749 + 0.558137i \(0.811516\pi\)
\(692\) −22.6226 + 10.8945i −0.859984 + 0.414147i
\(693\) −27.7412 13.1268i −1.05380 0.498645i
\(694\) 9.20893 + 4.43479i 0.349566 + 0.168342i
\(695\) −43.8826 55.0271i −1.66456 2.08730i
\(696\) 20.1588 9.70798i 0.764118 0.367980i
\(697\) 1.39379 1.74776i 0.0527936 0.0662011i
\(698\) 2.50885 10.9920i 0.0949614 0.416053i
\(699\) 21.9175 27.4837i 0.828996 1.03953i
\(700\) −24.9932 + 12.2471i −0.944656 + 0.462898i
\(701\) −2.85189 3.57616i −0.107714 0.135070i 0.725052 0.688694i \(-0.241816\pi\)
−0.832766 + 0.553625i \(0.813244\pi\)
\(702\) −0.607688 + 0.292647i −0.0229357 + 0.0110453i
\(703\) −2.05777 + 9.01570i −0.0776104 + 0.340033i
\(704\) 21.0281 0.792525
\(705\) −95.5608 −3.59903
\(706\) −0.129974 + 0.569455i −0.00489165 + 0.0214317i
\(707\) 22.2798 + 27.5498i 0.837917 + 1.03612i
\(708\) 4.86869 + 21.3311i 0.182977 + 0.801672i
\(709\) 7.12975 + 31.2375i 0.267763 + 1.17315i 0.912608 + 0.408835i \(0.134065\pi\)
−0.644845 + 0.764313i \(0.723078\pi\)
\(710\) −1.62913 2.04286i −0.0611401 0.0766673i
\(711\) −7.03179 8.81758i −0.263713 0.330685i
\(712\) 5.00394 + 21.9237i 0.187530 + 0.821625i
\(713\) −8.17521 35.8179i −0.306164 1.34139i
\(714\) −0.418953 + 1.89513i −0.0156789 + 0.0709236i
\(715\) 3.69074 16.1702i 0.138026 0.604731i
\(716\) −28.1998 −1.05387
\(717\) 50.8813 1.90020
\(718\) −1.11706 + 4.89418i −0.0416885 + 0.182649i
\(719\) 21.4765 10.3425i 0.800938 0.385712i 0.0118026 0.999930i \(-0.496243\pi\)
0.789136 + 0.614219i \(0.210529\pi\)
\(720\) −14.0523 17.6210i −0.523697 0.656696i
\(721\) −3.29663 4.07641i −0.122773 0.151813i
\(722\) 5.01815 6.29256i 0.186756 0.234185i
\(723\) −7.13605 + 31.2651i −0.265393 + 1.16276i
\(724\) 21.0647 26.4144i 0.782865 0.981682i
\(725\) −31.7444 + 15.2873i −1.17896 + 0.567755i
\(726\) 8.67846 + 10.8825i 0.322088 + 0.403886i
\(727\) −6.44305 3.10281i −0.238960 0.115077i 0.310572 0.950550i \(-0.399479\pi\)
−0.549531 + 0.835473i \(0.685194\pi\)
\(728\) −4.20287 + 0.0287099i −0.155769 + 0.00106406i
\(729\) 11.8396 5.70163i 0.438502 0.211171i
\(730\) 10.9511 + 5.27378i 0.405319 + 0.195191i
\(731\) 0.156515 + 0.685739i 0.00578893 + 0.0253630i
\(732\) −47.3777 22.8159i −1.75113 0.843300i
\(733\) −21.5164 + 26.9807i −0.794725 + 0.996554i 0.205116 + 0.978738i \(0.434243\pi\)
−0.999841 + 0.0178159i \(0.994329\pi\)
\(734\) −4.17041 −0.153933
\(735\) 11.0488 51.6505i 0.407540 1.90516i
\(736\) 23.5533 0.868188
\(737\) 14.0278 17.5903i 0.516720 0.647946i
\(738\) 2.49545 + 1.20175i 0.0918589 + 0.0442369i
\(739\) −0.573816 2.51405i −0.0211082 0.0924810i 0.963277 0.268511i \(-0.0865316\pi\)
−0.984385 + 0.176030i \(0.943674\pi\)
\(740\) 8.06018 + 3.88158i 0.296298 + 0.142690i
\(741\) −12.8444 + 6.18555i −0.471852 + 0.227232i
\(742\) 4.04971 + 5.00761i 0.148669 + 0.183835i
\(743\) 42.9052 + 20.6620i 1.57404 + 0.758017i 0.998224 0.0595648i \(-0.0189713\pi\)
0.575813 + 0.817581i \(0.304686\pi\)
\(744\) −15.7135 19.7041i −0.576084 0.722387i
\(745\) 33.2284 16.0020i 1.21739 0.586266i
\(746\) −6.23717 + 7.82116i −0.228359 + 0.286353i
\(747\) −5.00905 + 21.9461i −0.183272 + 0.802966i
\(748\) −4.42782 + 5.55231i −0.161897 + 0.203013i
\(749\) 1.07440 + 4.56334i 0.0392577 + 0.166741i
\(750\) −1.47514 1.84976i −0.0538643 0.0675437i
\(751\) 7.21698 3.47551i 0.263351 0.126823i −0.297549 0.954706i \(-0.596169\pi\)
0.560901 + 0.827883i \(0.310455\pi\)
\(752\) −8.44376 + 36.9945i −0.307912 + 1.34905i
\(753\) −23.1241 −0.842689
\(754\) −2.54058 −0.0925226
\(755\) 12.5127 54.8217i 0.455384 1.99517i
\(756\) −7.85902 + 0.0536851i −0.285830 + 0.00195251i
\(757\) −2.90450 12.7254i −0.105566 0.462514i −0.999886 0.0150866i \(-0.995198\pi\)
0.894320 0.447427i \(-0.147660\pi\)
\(758\) −1.89960 8.32268i −0.0689965 0.302294i
\(759\) −38.6546 48.4714i −1.40307 1.75940i
\(760\) −20.1270 25.2385i −0.730084 0.915497i
\(761\) 0.160779 + 0.704421i 0.00582825 + 0.0255352i 0.977758 0.209734i \(-0.0672599\pi\)
−0.971930 + 0.235269i \(0.924403\pi\)
\(762\) −1.22817 5.38098i −0.0444920 0.194932i
\(763\) 21.5122 10.5413i 0.778793 0.381622i
\(764\) −5.26257 + 23.0568i −0.190393 + 0.834167i
\(765\) 5.77900 0.208940
\(766\) 15.3697 0.555330
\(767\) 1.15775 5.07244i 0.0418040 0.183155i
\(768\) −8.14747 + 3.92361i −0.293996 + 0.141581i
\(769\) −16.7216 20.9683i −0.602997 0.756135i 0.382845 0.923813i \(-0.374944\pi\)
−0.985842 + 0.167678i \(0.946373\pi\)
\(770\) −11.2574 + 14.3158i −0.405687 + 0.515906i
\(771\) −22.9858 + 28.8233i −0.827815 + 1.03805i
\(772\) −1.68660 + 7.38949i −0.0607022 + 0.265954i
\(773\) 11.3736 14.2620i 0.409080 0.512970i −0.534023 0.845470i \(-0.679321\pi\)
0.943103 + 0.332500i \(0.107892\pi\)
\(774\) −0.785177 + 0.378121i −0.0282226 + 0.0135913i
\(775\) 24.7442 +