Properties

Label 588.2.x.a.55.18
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.18
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.505797 - 1.32067i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.48834 - 1.33598i) q^{4} +(1.55098 - 3.22064i) q^{5} +(-1.02872 + 0.970425i) q^{6} +(1.05984 - 2.42420i) q^{7} +(-2.51719 + 1.28987i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(0.505797 - 1.32067i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.48834 - 1.33598i) q^{4} +(1.55098 - 3.22064i) q^{5} +(-1.02872 + 0.970425i) q^{6} +(1.05984 - 2.42420i) q^{7} +(-2.51719 + 1.28987i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-3.46892 - 3.67732i) q^{10} +(-0.548676 - 0.437555i) q^{11} +(0.761286 + 1.84944i) q^{12} +(-1.23392 - 0.984018i) q^{13} +(-2.66550 - 2.62585i) q^{14} +(-2.79477 + 2.22875i) q^{15} +(0.430304 + 3.97679i) q^{16} +(4.49769 + 1.02657i) q^{17} +(1.34790 - 0.427976i) q^{18} +1.98961 q^{19} +(-6.61110 + 2.72132i) q^{20} +(-2.00670 + 1.72428i) q^{21} +(-0.855384 + 0.503306i) q^{22} +(-0.491856 + 0.112263i) q^{23} +(2.82756 - 0.0699641i) q^{24} +(-4.84953 - 6.08112i) q^{25} +(-1.92368 + 1.13189i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-4.81609 + 2.19210i) q^{28} +(-1.10738 + 4.85176i) q^{29} +(1.52986 + 4.81826i) q^{30} +2.00363 q^{31} +(5.46967 + 1.44316i) q^{32} +(0.304492 + 0.632285i) q^{33} +(3.63068 - 5.42073i) q^{34} +(-6.16368 - 7.17324i) q^{35} +(0.116549 - 1.99660i) q^{36} +(-0.243040 + 1.06483i) q^{37} +(1.00634 - 2.62761i) q^{38} +(0.684774 + 1.42195i) q^{39} +(0.250097 + 10.1075i) q^{40} +(-4.53101 + 9.40873i) q^{41} +(1.26222 + 3.52233i) q^{42} +(-2.83871 - 5.89463i) q^{43} +(0.232051 + 1.38425i) q^{44} +(3.48502 - 0.795432i) q^{45} +(-0.100517 + 0.706362i) q^{46} +(-5.11970 + 6.41990i) q^{47} +(1.33777 - 3.76966i) q^{48} +(-4.75348 - 5.13853i) q^{49} +(-10.4840 + 3.32882i) q^{50} +(-3.60687 - 2.87638i) q^{51} +(0.521860 + 3.11305i) q^{52} +(-1.46774 - 6.43060i) q^{53} +(-1.40011 - 0.199239i) q^{54} +(-2.26019 + 1.08845i) q^{55} +(0.459080 + 7.46922i) q^{56} +(-1.79257 - 0.863258i) q^{57} +(5.84747 + 3.91650i) q^{58} +(-2.79374 + 1.34539i) q^{59} +(7.13713 + 0.416620i) q^{60} +(12.1442 + 2.77184i) q^{61} +(1.01343 - 2.64613i) q^{62} +(2.55611 - 0.682847i) q^{63} +(4.67248 - 6.49369i) q^{64} +(-5.08295 + 2.44782i) q^{65} +(0.989051 - 0.0823261i) q^{66} -2.78869i q^{67} +(-5.32261 - 7.53671i) q^{68} +(0.491856 + 0.112263i) q^{69} +(-12.5911 + 4.51198i) q^{70} +(14.0210 - 3.20021i) q^{71} +(-2.57790 - 1.16380i) q^{72} +(8.77011 - 6.99393i) q^{73} +(1.28336 + 0.859563i) q^{74} +(1.73078 + 7.58304i) q^{75} +(-2.96121 - 2.65808i) q^{76} +(-1.64223 + 0.866362i) q^{77} +(2.22428 - 0.185143i) q^{78} -5.84545i q^{79} +(13.4752 + 4.78206i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(10.1341 + 10.7429i) q^{82} +(-9.61807 - 12.0607i) q^{83} +(5.29026 + 0.114607i) q^{84} +(10.2820 - 12.8932i) q^{85} +(-9.22067 + 0.767505i) q^{86} +(3.10282 - 3.89081i) q^{87} +(1.94551 + 0.393688i) q^{88} +(7.71020 - 6.14868i) q^{89} +(0.712207 - 5.00488i) q^{90} +(-3.69321 + 1.94837i) q^{91} +(0.882030 + 0.490026i) q^{92} +(-1.80521 - 0.869341i) q^{93} +(5.88904 + 10.0086i) q^{94} +(3.08584 - 6.40781i) q^{95} +(-4.30184 - 3.67344i) q^{96} +15.5344i q^{97} +(-9.19059 + 3.67872i) q^{98} -0.701783i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.505797 1.32067i 0.357653 0.933855i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −1.48834 1.33598i −0.744169 0.667991i
\(5\) 1.55098 3.22064i 0.693618 1.44031i −0.194596 0.980884i \(-0.562339\pi\)
0.888214 0.459430i \(-0.151946\pi\)
\(6\) −1.02872 + 0.970425i −0.419975 + 0.396175i
\(7\) 1.05984 2.42420i 0.400582 0.916261i
\(8\) −2.51719 + 1.28987i −0.889961 + 0.456037i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −3.46892 3.67732i −1.09697 1.16287i
\(11\) −0.548676 0.437555i −0.165432 0.131928i 0.537274 0.843407i \(-0.319454\pi\)
−0.702707 + 0.711480i \(0.748025\pi\)
\(12\) 0.761286 + 1.84944i 0.219764 + 0.533889i
\(13\) −1.23392 0.984018i −0.342228 0.272918i 0.437260 0.899335i \(-0.355949\pi\)
−0.779488 + 0.626418i \(0.784520\pi\)
\(14\) −2.66550 2.62585i −0.712386 0.701788i
\(15\) −2.79477 + 2.22875i −0.721605 + 0.575461i
\(16\) 0.430304 + 3.97679i 0.107576 + 0.994197i
\(17\) 4.49769 + 1.02657i 1.09085 + 0.248979i 0.729864 0.683592i \(-0.239583\pi\)
0.360986 + 0.932571i \(0.382440\pi\)
\(18\) 1.34790 0.427976i 0.317703 0.100875i
\(19\) 1.98961 0.456447 0.228224 0.973609i \(-0.426708\pi\)
0.228224 + 0.973609i \(0.426708\pi\)
\(20\) −6.61110 + 2.72132i −1.47829 + 0.608506i
\(21\) −2.00670 + 1.72428i −0.437899 + 0.376269i
\(22\) −0.855384 + 0.503306i −0.182369 + 0.107305i
\(23\) −0.491856 + 0.112263i −0.102559 + 0.0234084i −0.273492 0.961874i \(-0.588179\pi\)
0.170933 + 0.985283i \(0.445322\pi\)
\(24\) 2.82756 0.0699641i 0.577174 0.0142814i
\(25\) −4.84953 6.08112i −0.969907 1.21622i
\(26\) −1.92368 + 1.13189i −0.377264 + 0.221981i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) −4.81609 + 2.19210i −0.910155 + 0.414268i
\(29\) −1.10738 + 4.85176i −0.205636 + 0.900950i 0.761796 + 0.647817i \(0.224318\pi\)
−0.967432 + 0.253133i \(0.918539\pi\)
\(30\) 1.52986 + 4.81826i 0.279313 + 0.879690i
\(31\) 2.00363 0.359862 0.179931 0.983679i \(-0.442413\pi\)
0.179931 + 0.983679i \(0.442413\pi\)
\(32\) 5.46967 + 1.44316i 0.966910 + 0.255117i
\(33\) 0.304492 + 0.632285i 0.0530053 + 0.110067i
\(34\) 3.63068 5.42073i 0.622656 0.929647i
\(35\) −6.16368 7.17324i −1.04185 1.21250i
\(36\) 0.116549 1.99660i 0.0194248 0.332767i
\(37\) −0.243040 + 1.06483i −0.0399555 + 0.175057i −0.990969 0.134094i \(-0.957188\pi\)
0.951013 + 0.309151i \(0.100045\pi\)
\(38\) 1.00634 2.62761i 0.163250 0.426255i
\(39\) 0.684774 + 1.42195i 0.109652 + 0.227694i
\(40\) 0.250097 + 10.1075i 0.0395437 + 1.59814i
\(41\) −4.53101 + 9.40873i −0.707625 + 1.46940i 0.167688 + 0.985840i \(0.446370\pi\)
−0.875313 + 0.483557i \(0.839344\pi\)
\(42\) 1.26222 + 3.52233i 0.194765 + 0.543507i
\(43\) −2.83871 5.89463i −0.432898 0.898923i −0.997301 0.0734232i \(-0.976608\pi\)
0.564402 0.825500i \(-0.309107\pi\)
\(44\) 0.232051 + 1.38425i 0.0349830 + 0.208684i
\(45\) 3.48502 0.795432i 0.519515 0.118576i
\(46\) −0.100517 + 0.706362i −0.0148204 + 0.104147i
\(47\) −5.11970 + 6.41990i −0.746785 + 0.936439i −0.999516 0.0310976i \(-0.990100\pi\)
0.252731 + 0.967537i \(0.418671\pi\)
\(48\) 1.33777 3.76966i 0.193091 0.544104i
\(49\) −4.75348 5.13853i −0.679068 0.734075i
\(50\) −10.4840 + 3.32882i −1.48267 + 0.470766i
\(51\) −3.60687 2.87638i −0.505062 0.402774i
\(52\) 0.521860 + 3.11305i 0.0723690 + 0.431702i
\(53\) −1.46774 6.43060i −0.201610 0.883311i −0.969957 0.243277i \(-0.921777\pi\)
0.768347 0.640034i \(-0.221080\pi\)
\(54\) −1.40011 0.199239i −0.190531 0.0271130i
\(55\) −2.26019 + 1.08845i −0.304764 + 0.146767i
\(56\) 0.459080 + 7.46922i 0.0613472 + 0.998116i
\(57\) −1.79257 0.863258i −0.237432 0.114341i
\(58\) 5.84747 + 3.91650i 0.767810 + 0.514261i
\(59\) −2.79374 + 1.34539i −0.363714 + 0.175155i −0.606810 0.794847i \(-0.707551\pi\)
0.243096 + 0.970002i \(0.421837\pi\)
\(60\) 7.13713 + 0.416620i 0.921399 + 0.0537854i
\(61\) 12.1442 + 2.77184i 1.55491 + 0.354898i 0.911721 0.410811i \(-0.134754\pi\)
0.643188 + 0.765708i \(0.277611\pi\)
\(62\) 1.01343 2.64613i 0.128706 0.336059i
\(63\) 2.55611 0.682847i 0.322040 0.0860306i
\(64\) 4.67248 6.49369i 0.584060 0.811711i
\(65\) −5.08295 + 2.44782i −0.630462 + 0.303615i
\(66\) 0.989051 0.0823261i 0.121744 0.0101336i
\(67\) 2.78869i 0.340693i −0.985384 0.170347i \(-0.945511\pi\)
0.985384 0.170347i \(-0.0544887\pi\)
\(68\) −5.32261 7.53671i −0.645461 0.913961i
\(69\) 0.491856 + 0.112263i 0.0592125 + 0.0135149i
\(70\) −12.5911 + 4.51198i −1.50492 + 0.539285i
\(71\) 14.0210 3.20021i 1.66399 0.379795i 0.716001 0.698100i \(-0.245971\pi\)
0.947988 + 0.318305i \(0.103114\pi\)
\(72\) −2.57790 1.16380i −0.303809 0.137155i
\(73\) 8.77011 6.99393i 1.02646 0.818577i 0.0428888 0.999080i \(-0.486344\pi\)
0.983574 + 0.180503i \(0.0577725\pi\)
\(74\) 1.28336 + 0.859563i 0.149187 + 0.0999221i
\(75\) 1.73078 + 7.58304i 0.199853 + 0.875614i
\(76\) −2.96121 2.65808i −0.339674 0.304903i
\(77\) −1.64223 + 0.866362i −0.187149 + 0.0987312i
\(78\) 2.22428 0.185143i 0.251850 0.0209634i
\(79\) 5.84545i 0.657664i −0.944388 0.328832i \(-0.893345\pi\)
0.944388 0.328832i \(-0.106655\pi\)
\(80\) 13.4752 + 4.78206i 1.50657 + 0.534650i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 10.1341 + 10.7429i 1.11912 + 1.18635i
\(83\) −9.61807 12.0607i −1.05572 1.32383i −0.943947 0.330097i \(-0.892919\pi\)
−0.111773 0.993734i \(-0.535653\pi\)
\(84\) 5.29026 + 0.114607i 0.577215 + 0.0125046i
\(85\) 10.2820 12.8932i 1.11524 1.39847i
\(86\) −9.22067 + 0.767505i −0.994291 + 0.0827622i
\(87\) 3.10282 3.89081i 0.332657 0.417139i
\(88\) 1.94551 + 0.393688i 0.207392 + 0.0419672i
\(89\) 7.71020 6.14868i 0.817279 0.651758i −0.122907 0.992418i \(-0.539222\pi\)
0.940187 + 0.340660i \(0.110650\pi\)
\(90\) 0.712207 5.00488i 0.0750732 0.527561i
\(91\) −3.69321 + 1.94837i −0.387154 + 0.204244i
\(92\) 0.882030 + 0.490026i 0.0919580 + 0.0510887i
\(93\) −1.80521 0.869341i −0.187191 0.0901465i
\(94\) 5.88904 + 10.0086i 0.607408 + 1.03231i
\(95\) 3.08584 6.40781i 0.316600 0.657427i
\(96\) −4.30184 3.67344i −0.439055 0.374919i
\(97\) 15.5344i 1.57728i 0.614857 + 0.788639i \(0.289214\pi\)
−0.614857 + 0.788639i \(0.710786\pi\)
\(98\) −9.19059 + 3.67872i −0.928390 + 0.371607i
\(99\) 0.701783i 0.0705319i
\(100\) −0.906522 + 15.5297i −0.0906522 + 1.55297i
\(101\) −2.15686 + 4.47877i −0.214616 + 0.445655i −0.980287 0.197577i \(-0.936693\pi\)
0.765671 + 0.643232i \(0.222407\pi\)
\(102\) −5.62309 + 3.30862i −0.556769 + 0.327602i
\(103\) 15.2981 + 7.36718i 1.50737 + 0.725910i 0.991420 0.130711i \(-0.0417261\pi\)
0.515946 + 0.856621i \(0.327440\pi\)
\(104\) 4.37526 + 0.885365i 0.429030 + 0.0868172i
\(105\) 2.44093 + 9.13719i 0.238210 + 0.891698i
\(106\) −9.23508 1.31418i −0.896991 0.127644i
\(107\) 12.1496 9.68897i 1.17454 0.936668i 0.175687 0.984446i \(-0.443785\pi\)
0.998858 + 0.0477781i \(0.0152140\pi\)
\(108\) −0.971300 + 1.74831i −0.0934634 + 0.168231i
\(109\) 0.397900 0.498951i 0.0381119 0.0477909i −0.762410 0.647094i \(-0.775984\pi\)
0.800522 + 0.599303i \(0.204556\pi\)
\(110\) 0.294286 + 3.53550i 0.0280591 + 0.337097i
\(111\) 0.680983 0.853926i 0.0646361 0.0810510i
\(112\) 10.0966 + 3.17162i 0.954037 + 0.299690i
\(113\) 0.238370 + 0.298906i 0.0224239 + 0.0281187i 0.792917 0.609330i \(-0.208561\pi\)
−0.770493 + 0.637448i \(0.779990\pi\)
\(114\) −2.04676 + 1.93077i −0.191696 + 0.180833i
\(115\) −0.401300 + 1.75821i −0.0374214 + 0.163954i
\(116\) 8.13003 5.74162i 0.754854 0.533096i
\(117\) 1.57824i 0.145909i
\(118\) 0.363756 + 4.37010i 0.0334865 + 0.402300i
\(119\) 7.25544 9.81529i 0.665105 0.899767i
\(120\) 4.16016 9.21507i 0.379769 0.841217i
\(121\) −2.33814 10.2441i −0.212558 0.931278i
\(122\) 9.80320 14.6365i 0.887540 1.32513i
\(123\) 8.16459 6.51105i 0.736177 0.587081i
\(124\) −2.98208 2.67681i −0.267798 0.240385i
\(125\) −9.68154 + 2.20975i −0.865943 + 0.197646i
\(126\) 0.391060 3.72117i 0.0348384 0.331508i
\(127\) 13.4738 + 3.07532i 1.19561 + 0.272890i 0.773584 0.633693i \(-0.218462\pi\)
0.422026 + 0.906584i \(0.361319\pi\)
\(128\) −6.21269 9.45529i −0.549129 0.835737i
\(129\) 6.54255i 0.576039i
\(130\) 0.661821 + 7.95100i 0.0580456 + 0.697349i
\(131\) −12.3467 + 5.94587i −1.07874 + 0.519493i −0.886913 0.461936i \(-0.847155\pi\)
−0.191825 + 0.981429i \(0.561441\pi\)
\(132\) 0.391534 1.34785i 0.0340786 0.117315i
\(133\) 2.10867 4.82320i 0.182845 0.418225i
\(134\) −3.68294 1.41051i −0.318158 0.121850i
\(135\) −3.48502 0.795432i −0.299942 0.0684599i
\(136\) −12.6457 + 3.21736i −1.08436 + 0.275887i
\(137\) −19.7709 + 9.52117i −1.68914 + 0.813448i −0.693473 + 0.720483i \(0.743920\pi\)
−0.995669 + 0.0929656i \(0.970365\pi\)
\(138\) 0.397042 0.592797i 0.0337984 0.0504623i
\(139\) 13.3701 + 6.43868i 1.13403 + 0.546122i 0.904200 0.427108i \(-0.140468\pi\)
0.229833 + 0.973230i \(0.426182\pi\)
\(140\) −0.409678 + 18.9108i −0.0346241 + 1.59825i
\(141\) 7.39818 3.56278i 0.623039 0.300040i
\(142\) 2.86537 20.1358i 0.240457 1.68976i
\(143\) 0.246461 + 1.07982i 0.0206101 + 0.0902987i
\(144\) −2.84089 + 2.81591i −0.236741 + 0.234659i
\(145\) 13.9083 + 11.0915i 1.15502 + 0.921096i
\(146\) −4.80077 15.1199i −0.397315 1.25133i
\(147\) 2.05321 + 6.69211i 0.169346 + 0.551956i
\(148\) 1.78432 1.26013i 0.146670 0.103582i
\(149\) −10.2375 + 12.8375i −0.838691 + 1.05169i 0.159230 + 0.987241i \(0.449099\pi\)
−0.997921 + 0.0644436i \(0.979473\pi\)
\(150\) 10.8901 + 1.54969i 0.889174 + 0.126532i
\(151\) −9.81701 + 2.24067i −0.798897 + 0.182343i −0.602435 0.798168i \(-0.705803\pi\)
−0.196463 + 0.980511i \(0.562945\pi\)
\(152\) −5.00822 + 2.56633i −0.406220 + 0.208157i
\(153\) 2.00166 + 4.15649i 0.161825 + 0.336032i
\(154\) 0.313544 + 2.60705i 0.0252661 + 0.210082i
\(155\) 3.10758 6.45296i 0.249607 0.518314i
\(156\) 0.880521 3.03119i 0.0704981 0.242689i
\(157\) −8.07378 16.7654i −0.644358 1.33802i −0.925643 0.378398i \(-0.876475\pi\)
0.281285 0.959624i \(-0.409239\pi\)
\(158\) −7.71990 2.95661i −0.614163 0.235215i
\(159\) −1.46774 + 6.43060i −0.116400 + 0.509980i
\(160\) 13.1312 15.3775i 1.03811 1.21570i
\(161\) −0.249141 + 1.31134i −0.0196351 + 0.103348i
\(162\) 1.17501 + 0.786992i 0.0923173 + 0.0618320i
\(163\) −3.29496 6.84206i −0.258081 0.535912i 0.731160 0.682206i \(-0.238979\pi\)
−0.989241 + 0.146295i \(0.953265\pi\)
\(164\) 19.3136 7.95004i 1.50814 0.620794i
\(165\) 2.50862 0.195296
\(166\) −20.7930 + 6.60204i −1.61385 + 0.512418i
\(167\) −1.52342 + 6.67455i −0.117886 + 0.516492i 0.881160 + 0.472818i \(0.156763\pi\)
−0.999046 + 0.0436737i \(0.986094\pi\)
\(168\) 2.82716 6.92872i 0.218120 0.534563i
\(169\) −2.33851 10.2457i −0.179885 0.788128i
\(170\) −11.8271 20.1005i −0.907098 1.54164i
\(171\) 1.24050 + 1.55554i 0.0948634 + 0.118955i
\(172\) −3.65017 + 12.5657i −0.278323 + 0.958123i
\(173\) 5.10966 1.16625i 0.388480 0.0886680i −0.0238198 0.999716i \(-0.507583\pi\)
0.412300 + 0.911048i \(0.364726\pi\)
\(174\) −3.56908 6.06576i −0.270571 0.459844i
\(175\) −19.8816 + 5.31121i −1.50291 + 0.401490i
\(176\) 1.50396 2.37025i 0.113366 0.178664i
\(177\) 3.10081 0.233072
\(178\) −4.22058 13.2926i −0.316346 0.996323i
\(179\) −17.4630 3.98582i −1.30525 0.297914i −0.487314 0.873227i \(-0.662023\pi\)
−0.817934 + 0.575312i \(0.804881\pi\)
\(180\) −6.24957 3.47205i −0.465815 0.258791i
\(181\) 15.3171 12.2150i 1.13851 0.907931i 0.141873 0.989885i \(-0.454688\pi\)
0.996636 + 0.0819543i \(0.0261162\pi\)
\(182\) 0.705131 + 5.86299i 0.0522678 + 0.434594i
\(183\) −9.73891 7.76652i −0.719921 0.574118i
\(184\) 1.09329 0.917017i 0.0805984 0.0676034i
\(185\) 3.05248 + 2.43427i 0.224423 + 0.178971i
\(186\) −2.06118 + 1.94437i −0.151133 + 0.142568i
\(187\) −2.01860 2.53124i −0.147614 0.185103i
\(188\) 16.1967 2.71516i 1.18127 0.198023i
\(189\) −2.59926 0.493833i −0.189068 0.0359210i
\(190\) −6.90179 7.31642i −0.500709 0.530789i
\(191\) −5.72013 + 11.8780i −0.413894 + 0.859460i 0.584935 + 0.811080i \(0.301120\pi\)
−0.998829 + 0.0483799i \(0.984594\pi\)
\(192\) −7.02726 + 3.82330i −0.507149 + 0.275923i
\(193\) −12.0547 5.80524i −0.867716 0.417870i −0.0535933 0.998563i \(-0.517067\pi\)
−0.814123 + 0.580693i \(0.802782\pi\)
\(194\) 20.5158 + 7.85725i 1.47295 + 0.564117i
\(195\) 5.64165 0.404007
\(196\) 0.209807 + 13.9984i 0.0149862 + 0.999888i
\(197\) 0.847739 0.0603989 0.0301994 0.999544i \(-0.490386\pi\)
0.0301994 + 0.999544i \(0.490386\pi\)
\(198\) −0.926824 0.354960i −0.0658665 0.0252259i
\(199\) −11.0472 5.32006i −0.783117 0.377129i −0.000791843 1.00000i \(-0.500252\pi\)
−0.782325 + 0.622871i \(0.785966\pi\)
\(200\) 20.0510 + 9.05207i 1.41782 + 0.640078i
\(201\) −1.20997 + 2.51253i −0.0853446 + 0.177220i
\(202\) 4.82405 + 5.11386i 0.339419 + 0.359810i
\(203\) 10.5880 + 7.82661i 0.743131 + 0.549320i
\(204\) 1.52545 + 9.09974i 0.106803 + 0.637109i
\(205\) 23.2746 + 29.1855i 1.62557 + 2.03840i
\(206\) 17.4673 16.4774i 1.21701 1.14804i
\(207\) −0.394438 0.314554i −0.0274153 0.0218630i
\(208\) 3.38227 5.33047i 0.234518 0.369601i
\(209\) −1.09165 0.870562i −0.0755110 0.0602181i
\(210\) 13.3018 + 1.39790i 0.917913 + 0.0964641i
\(211\) −1.34776 + 1.07481i −0.0927839 + 0.0739927i −0.668783 0.743458i \(-0.733185\pi\)
0.575999 + 0.817450i \(0.304613\pi\)
\(212\) −6.40667 + 11.5318i −0.440012 + 0.792007i
\(213\) −14.0210 3.20021i −0.960705 0.219275i
\(214\) −6.65071 20.9462i −0.454633 1.43186i
\(215\) −23.3873 −1.59500
\(216\) 1.81766 + 2.16705i 0.123676 + 0.147449i
\(217\) 2.12352 4.85719i 0.144154 0.329728i
\(218\) −0.457693 0.777863i −0.0309989 0.0526835i
\(219\) −10.9361 + 2.49610i −0.738996 + 0.168671i
\(220\) 4.81808 + 1.39959i 0.324835 + 0.0943604i
\(221\) −4.53963 5.69251i −0.305368 0.382920i
\(222\) −0.783315 1.33127i −0.0525727 0.0893488i
\(223\) 3.23875 + 14.1899i 0.216882 + 0.950224i 0.959765 + 0.280803i \(0.0906007\pi\)
−0.742883 + 0.669421i \(0.766542\pi\)
\(224\) 9.29548 11.7301i 0.621080 0.783747i
\(225\) 1.73078 7.58304i 0.115385 0.505536i
\(226\) 0.515323 0.163622i 0.0342788 0.0108840i
\(227\) 28.8298 1.91350 0.956750 0.290911i \(-0.0939584\pi\)
0.956750 + 0.290911i \(0.0939584\pi\)
\(228\) 1.51466 + 3.67967i 0.100311 + 0.243692i
\(229\) 0.263684 + 0.547545i 0.0174247 + 0.0361828i 0.909500 0.415705i \(-0.136465\pi\)
−0.892075 + 0.451888i \(0.850751\pi\)
\(230\) 2.11904 + 1.41928i 0.139725 + 0.0935846i
\(231\) 1.85550 0.0680291i 0.122083 0.00447599i
\(232\) −3.47064 13.6412i −0.227859 0.895588i
\(233\) 1.21801 5.33645i 0.0797944 0.349602i −0.919232 0.393716i \(-0.871189\pi\)
0.999027 + 0.0441139i \(0.0140464\pi\)
\(234\) −2.08434 0.798271i −0.136257 0.0521846i
\(235\) 12.7356 + 26.4458i 0.830782 + 1.72514i
\(236\) 5.95545 + 1.72998i 0.387667 + 0.112612i
\(237\) −2.53624 + 5.26656i −0.164747 + 0.342100i
\(238\) −9.29299 14.5466i −0.602375 0.942915i
\(239\) 5.63694 + 11.7052i 0.364623 + 0.757148i 0.999885 0.0151488i \(-0.00482220\pi\)
−0.635262 + 0.772297i \(0.719108\pi\)
\(240\) −10.0659 10.1551i −0.649749 0.655512i
\(241\) −8.13111 + 1.85587i −0.523771 + 0.119547i −0.476228 0.879322i \(-0.657996\pi\)
−0.0475428 + 0.998869i \(0.515139\pi\)
\(242\) −14.7116 2.09350i −0.945700 0.134575i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) −14.3716 20.3499i −0.920047 1.30277i
\(245\) −23.9219 + 7.33950i −1.52831 + 0.468903i
\(246\) −4.46932 14.0760i −0.284953 0.897453i
\(247\) −2.45502 1.95781i −0.156209 0.124572i
\(248\) −5.04351 + 2.58442i −0.320263 + 0.164111i
\(249\) 3.43265 + 15.0394i 0.217535 + 0.953084i
\(250\) −1.97855 + 13.9038i −0.125134 + 0.879354i
\(251\) −3.45641 + 1.66452i −0.218167 + 0.105063i −0.539775 0.841809i \(-0.681491\pi\)
0.321609 + 0.946873i \(0.395776\pi\)
\(252\) −4.71663 2.39862i −0.297120 0.151099i
\(253\) 0.318991 + 0.153618i 0.0200548 + 0.00965788i
\(254\) 10.8765 16.2390i 0.682453 1.01893i
\(255\) −14.8580 + 7.15521i −0.930441 + 0.448077i
\(256\) −15.6297 + 3.42246i −0.976855 + 0.213903i
\(257\) 25.2558 + 5.76447i 1.57541 + 0.359578i 0.918823 0.394670i \(-0.129141\pi\)
0.656590 + 0.754248i \(0.271998\pi\)
\(258\) 8.64055 + 3.30920i 0.537937 + 0.206022i
\(259\) 2.32377 + 1.71772i 0.144392 + 0.106734i
\(260\) 10.8354 + 3.14755i 0.671983 + 0.195202i
\(261\) −4.48370 + 2.15924i −0.277534 + 0.133653i
\(262\) 1.60759 + 19.3134i 0.0993175 + 1.19318i
\(263\) 14.0427i 0.865913i 0.901415 + 0.432956i \(0.142530\pi\)
−0.901415 + 0.432956i \(0.857470\pi\)
\(264\) −1.58203 1.19883i −0.0973672 0.0737826i
\(265\) −22.9871 5.24665i −1.41209 0.322299i
\(266\) −5.30330 5.22441i −0.325166 0.320329i
\(267\) −9.61446 + 2.19444i −0.588395 + 0.134297i
\(268\) −3.72564 + 4.15052i −0.227580 + 0.253533i
\(269\) −15.8472 + 12.6377i −0.966221 + 0.770535i −0.973323 0.229440i \(-0.926311\pi\)
0.00710236 + 0.999975i \(0.497739\pi\)
\(270\) −2.81321 + 4.20023i −0.171207 + 0.255618i
\(271\) 6.21536 + 27.2313i 0.377556 + 1.65418i 0.704922 + 0.709284i \(0.250982\pi\)
−0.327366 + 0.944898i \(0.606161\pi\)
\(272\) −2.14707 + 18.3281i −0.130185 + 1.11130i
\(273\) 4.17283 0.152991i 0.252551 0.00925943i
\(274\) 2.57425 + 30.9266i 0.155516 + 1.86835i
\(275\) 5.45850i 0.329160i
\(276\) −0.582067 0.824196i −0.0350363 0.0496108i
\(277\) 3.04154 13.3258i 0.182748 0.800672i −0.797567 0.603231i \(-0.793880\pi\)
0.980315 0.197441i \(-0.0632631\pi\)
\(278\) 15.2659 14.4008i 0.915588 0.863701i
\(279\) 1.24924 + 1.56650i 0.0747901 + 0.0937838i
\(280\) 24.7677 + 10.1061i 1.48015 + 0.603953i
\(281\) 11.1625 13.9974i 0.665901 0.835013i −0.328071 0.944653i \(-0.606398\pi\)
0.993971 + 0.109640i \(0.0349698\pi\)
\(282\) −0.963274 11.5726i −0.0573621 0.689138i
\(283\) 2.48051 3.11046i 0.147451 0.184898i −0.702621 0.711564i \(-0.747987\pi\)
0.850072 + 0.526667i \(0.176558\pi\)
\(284\) −25.1434 13.9688i −1.49199 0.828898i
\(285\) −5.56049 + 4.43434i −0.329375 + 0.262668i
\(286\) 1.55074 + 0.220674i 0.0916971 + 0.0130487i
\(287\) 18.0065 + 20.9558i 1.06289 + 1.23698i
\(288\) 2.28198 + 5.17615i 0.134467 + 0.305008i
\(289\) 3.85890 + 1.85835i 0.226994 + 0.109315i
\(290\) 21.6829 12.7582i 1.27326 0.749186i
\(291\) 6.74012 13.9960i 0.395113 0.820460i
\(292\) −22.3966 1.30737i −1.31066 0.0765082i
\(293\) 14.3309i 0.837222i −0.908166 0.418611i \(-0.862517\pi\)
0.908166 0.418611i \(-0.137483\pi\)
\(294\) 9.87658 + 0.673232i 0.576014 + 0.0392637i
\(295\) 11.0843i 0.645353i
\(296\) −0.761711 2.99386i −0.0442735 0.174015i
\(297\) −0.304492 + 0.632285i −0.0176684 + 0.0366889i
\(298\) 11.7759 + 20.0135i 0.682161 + 1.15935i
\(299\) 0.717380 + 0.345472i 0.0414872 + 0.0199792i
\(300\) 7.55481 13.5984i 0.436177 0.785105i
\(301\) −17.2983 + 0.634218i −0.997059 + 0.0365557i
\(302\) −2.00623 + 14.0984i −0.115446 + 0.811269i
\(303\) 3.88653 3.09941i 0.223276 0.178056i
\(304\) 0.856136 + 7.91225i 0.0491028 + 0.453798i
\(305\) 27.7625 34.8131i 1.58968 1.99339i
\(306\) 6.50179 0.541192i 0.371682 0.0309379i
\(307\) 10.6365 13.3378i 0.607059 0.761228i −0.379401 0.925232i \(-0.623870\pi\)
0.986460 + 0.164005i \(0.0524412\pi\)
\(308\) 3.60164 + 0.904548i 0.205222 + 0.0515414i
\(309\) −10.5866 13.2752i −0.602252 0.755200i
\(310\) −6.95042 7.36798i −0.394758 0.418473i
\(311\) −4.42756 + 19.3984i −0.251064 + 1.09998i 0.679448 + 0.733724i \(0.262219\pi\)
−0.930512 + 0.366261i \(0.880638\pi\)
\(312\) −3.55783 2.69604i −0.201423 0.152633i
\(313\) 6.36306i 0.359661i −0.983698 0.179831i \(-0.942445\pi\)
0.983698 0.179831i \(-0.0575550\pi\)
\(314\) −26.2252 + 2.18292i −1.47998 + 0.123189i
\(315\) 1.76527 9.29140i 0.0994619 0.523511i
\(316\) −7.80941 + 8.70000i −0.439314 + 0.489413i
\(317\) 3.74646 + 16.4143i 0.210422 + 0.921920i 0.964280 + 0.264883i \(0.0853334\pi\)
−0.753858 + 0.657037i \(0.771809\pi\)
\(318\) 7.75032 + 5.19098i 0.434617 + 0.291096i
\(319\) 2.73051 2.17751i 0.152879 0.121917i
\(320\) −13.6669 25.1199i −0.764003 1.40425i
\(321\) −15.1503 + 3.45795i −0.845606 + 0.193004i
\(322\) 1.60583 + 0.992304i 0.0894894 + 0.0552989i
\(323\) 8.94864 + 2.04247i 0.497915 + 0.113646i
\(324\) 1.63367 1.15374i 0.0907596 0.0640966i
\(325\) 12.2756i 0.680931i
\(326\) −10.7027 + 0.890865i −0.592767 + 0.0493404i
\(327\) −0.574983 + 0.276897i −0.0317966 + 0.0153124i
\(328\) −0.730629 29.5280i −0.0403422 1.63041i
\(329\) 10.1371 + 19.2152i 0.558874 + 1.05937i
\(330\) 1.26885 3.31306i 0.0698481 0.182378i
\(331\) −13.9044 3.17360i −0.764257 0.174437i −0.177413 0.984137i \(-0.556773\pi\)
−0.586844 + 0.809700i \(0.699630\pi\)
\(332\) −1.79790 + 30.7999i −0.0986727 + 1.69037i
\(333\) −0.984049 + 0.473893i −0.0539256 + 0.0259692i
\(334\) 8.04433 + 5.38790i 0.440166 + 0.294813i
\(335\) −8.98137 4.32520i −0.490705 0.236311i
\(336\) −7.72059 7.23827i −0.421193 0.394880i
\(337\) −19.7350 + 9.50386i −1.07503 + 0.517708i −0.885725 0.464210i \(-0.846338\pi\)
−0.189307 + 0.981918i \(0.560624\pi\)
\(338\) −14.7139 2.09383i −0.800333 0.113889i
\(339\) −0.0850732 0.372730i −0.00462054 0.0202439i
\(340\) −32.5283 + 5.45292i −1.76409 + 0.295726i
\(341\) −1.09934 0.876697i −0.0595328 0.0474758i
\(342\) 2.68179 0.851505i 0.145015 0.0460441i
\(343\) −17.4947 + 6.07736i −0.944627 + 0.328147i
\(344\) 14.7489 + 11.1763i 0.795205 + 0.602588i
\(345\) 1.12442 1.40997i 0.0605366 0.0759104i
\(346\) 1.04422 7.33805i 0.0561378 0.394496i
\(347\) −1.49806 + 0.341922i −0.0804200 + 0.0183553i −0.262542 0.964921i \(-0.584561\pi\)
0.182122 + 0.983276i \(0.441704\pi\)
\(348\) −9.81610 + 1.64554i −0.526198 + 0.0882100i
\(349\) 1.55839 + 3.23603i 0.0834187 + 0.173221i 0.938506 0.345264i \(-0.112211\pi\)
−0.855087 + 0.518485i \(0.826496\pi\)
\(350\) −3.04168 + 28.9434i −0.162585 + 1.54709i
\(351\) −0.684774 + 1.42195i −0.0365505 + 0.0758980i
\(352\) −2.36962 3.18511i −0.126301 0.169767i
\(353\) 3.29141 + 6.83468i 0.175184 + 0.363773i 0.970010 0.243064i \(-0.0781524\pi\)
−0.794826 + 0.606837i \(0.792438\pi\)
\(354\) 1.56838 4.09515i 0.0833586 0.217655i
\(355\) 11.4396 50.1201i 0.607150 2.66010i
\(356\) −19.6899 1.14937i −1.04356 0.0609165i
\(357\) −10.7956 + 5.69526i −0.571365 + 0.301425i
\(358\) −14.0967 + 21.0469i −0.745034 + 1.11236i
\(359\) 4.96387 + 10.3076i 0.261983 + 0.544013i 0.989919 0.141631i \(-0.0452347\pi\)
−0.727936 + 0.685645i \(0.759520\pi\)
\(360\) −7.74644 + 6.49747i −0.408273 + 0.342446i
\(361\) −15.0415 −0.791656
\(362\) −8.38460 26.4071i −0.440685 1.38793i
\(363\) −2.33814 + 10.2441i −0.122720 + 0.537673i
\(364\) 8.09973 + 2.03424i 0.424541 + 0.106623i
\(365\) −8.92267 39.0928i −0.467034 2.04621i
\(366\) −15.1829 + 8.93360i −0.793624 + 0.466967i
\(367\) 6.07329 + 7.61567i 0.317023 + 0.397535i 0.914655 0.404236i \(-0.132463\pi\)
−0.597631 + 0.801771i \(0.703891\pi\)
\(368\) −0.658094 1.90770i −0.0343055 0.0994457i
\(369\) −10.1811 + 2.32377i −0.530006 + 0.120970i
\(370\) 4.75880 2.80007i 0.247398 0.145569i
\(371\) −17.1446 3.25731i −0.890105 0.169111i
\(372\) 1.52533 + 3.70560i 0.0790848 + 0.192126i
\(373\) 11.3481 0.587580 0.293790 0.955870i \(-0.405083\pi\)
0.293790 + 0.955870i \(0.405083\pi\)
\(374\) −4.36393 + 1.38561i −0.225654 + 0.0716480i
\(375\) 9.68154 + 2.20975i 0.499953 + 0.114111i
\(376\) 4.60642 22.7638i 0.237558 1.17396i
\(377\) 6.14065 4.89700i 0.316259 0.252209i
\(378\) −1.96689 + 3.18298i −0.101166 + 0.163715i
\(379\) 29.1014 + 23.2076i 1.49484 + 1.19210i 0.930359 + 0.366649i \(0.119495\pi\)
0.564481 + 0.825446i \(0.309077\pi\)
\(380\) −13.1535 + 5.41436i −0.674760 + 0.277751i
\(381\) −10.8052 8.61685i −0.553566 0.441454i
\(382\) 12.7937 + 13.5623i 0.654581 + 0.693905i
\(383\) −16.7320 20.9813i −0.854967 1.07210i −0.996618 0.0821785i \(-0.973812\pi\)
0.141650 0.989917i \(-0.454759\pi\)
\(384\) 1.49494 + 11.2145i 0.0762885 + 0.572288i
\(385\) 0.243179 + 6.63274i 0.0123936 + 0.338035i
\(386\) −13.7640 + 12.9840i −0.700571 + 0.660869i
\(387\) 2.83871 5.89463i 0.144299 0.299641i
\(388\) 20.7537 23.1204i 1.05361 1.17376i
\(389\) 9.12793 + 4.39578i 0.462805 + 0.222875i 0.650731 0.759308i \(-0.274462\pi\)
−0.187927 + 0.982183i \(0.560177\pi\)
\(390\) 2.85353 7.45076i 0.144494 0.377284i
\(391\) −2.32746 −0.117705
\(392\) 18.5934 + 6.80328i 0.939110 + 0.343617i
\(393\) 13.7038 0.691267
\(394\) 0.428784 1.11958i 0.0216018 0.0564038i
\(395\) −18.8261 9.06616i −0.947242 0.456168i
\(396\) −0.937570 + 1.04449i −0.0471147 + 0.0524877i
\(397\) −6.25157 + 12.9815i −0.313757 + 0.651524i −0.996893 0.0787678i \(-0.974901\pi\)
0.683136 + 0.730291i \(0.260616\pi\)
\(398\) −12.6137 + 11.8989i −0.632268 + 0.596436i
\(399\) −3.99255 + 3.43064i −0.199878 + 0.171747i
\(400\) 22.0966 21.9023i 1.10483 1.09511i
\(401\) 17.4714 + 21.9084i 0.872480 + 1.09405i 0.994829 + 0.101568i \(0.0323859\pi\)
−0.122349 + 0.992487i \(0.539043\pi\)
\(402\) 2.70622 + 2.86880i 0.134974 + 0.143083i
\(403\) −2.47232 1.97161i −0.123155 0.0982127i
\(404\) 9.19371 3.78440i 0.457404 0.188281i
\(405\) 2.79477 + 2.22875i 0.138873 + 0.110748i
\(406\) 15.6917 10.0246i 0.778768 0.497511i
\(407\) 0.599271 0.477903i 0.0297048 0.0236888i
\(408\) 12.7893 + 2.58801i 0.633166 + 0.128125i
\(409\) −14.4086 3.28868i −0.712461 0.162615i −0.149096 0.988823i \(-0.547636\pi\)
−0.563365 + 0.826208i \(0.690493\pi\)
\(410\) 50.3166 15.9762i 2.48496 0.789008i
\(411\) 21.9440 1.08242
\(412\) −12.9263 31.4028i −0.636835 1.54711i
\(413\) 0.300585 + 8.19848i 0.0147908 + 0.403421i
\(414\) −0.614927 + 0.361822i −0.0302220 + 0.0177826i
\(415\) −53.7605 + 12.2705i −2.63900 + 0.602334i
\(416\) −5.32904 7.16300i −0.261278 0.351195i
\(417\) −9.25237 11.6021i −0.453090 0.568157i
\(418\) −1.70188 + 1.00138i −0.0832416 + 0.0489792i
\(419\) −6.75553 29.5979i −0.330029 1.44595i −0.819071 0.573692i \(-0.805511\pi\)
0.489042 0.872260i \(-0.337346\pi\)
\(420\) 8.57419 16.8603i 0.418377 0.822697i
\(421\) 5.01671 21.9796i 0.244499 1.07122i −0.692370 0.721543i \(-0.743433\pi\)
0.936869 0.349679i \(-0.113710\pi\)
\(422\) 0.737769 + 2.32358i 0.0359140 + 0.113110i
\(423\) −8.21136 −0.399250
\(424\) 11.9892 + 14.2938i 0.582248 + 0.694170i
\(425\) −15.5690 32.3294i −0.755208 1.56821i
\(426\) −11.3182 + 16.8985i −0.548369 + 0.818734i
\(427\) 19.5904 26.5023i 0.948047 1.28254i
\(428\) −31.0270 1.81116i −1.49975 0.0875456i
\(429\) 0.246461 1.07982i 0.0118992 0.0521340i
\(430\) −11.8292 + 30.8868i −0.570455 + 1.48950i
\(431\) −3.05471 6.34317i −0.147140 0.305540i 0.814352 0.580371i \(-0.197092\pi\)
−0.961493 + 0.274831i \(0.911378\pi\)
\(432\) 3.78133 1.30443i 0.181929 0.0627596i
\(433\) −0.874598 + 1.81612i −0.0420305 + 0.0872772i −0.920927 0.389736i \(-0.872566\pi\)
0.878896 + 0.477013i \(0.158281\pi\)
\(434\) −5.34067 5.26123i −0.256361 0.252547i
\(435\) −7.71850 16.0276i −0.370074 0.768466i
\(436\) −1.25880 + 0.211021i −0.0602856 + 0.0101061i
\(437\) −0.978601 + 0.223359i −0.0468128 + 0.0106847i
\(438\) −2.23494 + 15.7056i −0.106790 + 0.750441i
\(439\) 7.92057 9.93208i 0.378028 0.474032i −0.556025 0.831165i \(-0.687674\pi\)
0.934054 + 0.357133i \(0.116246\pi\)
\(440\) 4.28537 5.65518i 0.204297 0.269600i
\(441\) 1.05372 6.92024i 0.0501770 0.329535i
\(442\) −9.81406 + 3.11609i −0.466807 + 0.148217i
\(443\) 26.0948 + 20.8099i 1.23980 + 0.988710i 0.999839 + 0.0179277i \(0.00570686\pi\)
0.239963 + 0.970782i \(0.422865\pi\)
\(444\) −2.15436 + 0.361150i −0.102242 + 0.0171394i
\(445\) −7.84432 34.3682i −0.371857 1.62921i
\(446\) 20.3783 + 2.89988i 0.964940 + 0.137313i
\(447\) 14.7937 7.12425i 0.699716 0.336965i
\(448\) −10.7899 18.2093i −0.509775 0.860308i
\(449\) 28.1613 + 13.5617i 1.32901 + 0.640018i 0.957506 0.288412i \(-0.0931274\pi\)
0.371505 + 0.928431i \(0.378842\pi\)
\(450\) −9.13927 6.12126i −0.430829 0.288559i
\(451\) 6.60289 3.17979i 0.310918 0.149730i
\(452\) 0.0445584 0.763331i 0.00209585 0.0359041i
\(453\) 9.81701 + 2.24067i 0.461243 + 0.105276i
\(454\) 14.5820 38.0746i 0.684368 1.78693i
\(455\) 0.546887 + 14.9164i 0.0256385 + 0.699291i
\(456\) 5.62574 0.139201i 0.263449 0.00651869i
\(457\) 4.03781 1.94451i 0.188881 0.0909601i −0.337053 0.941486i \(-0.609430\pi\)
0.525934 + 0.850525i \(0.323716\pi\)
\(458\) 0.856496 0.0712926i 0.0400214 0.00333128i
\(459\) 4.61336i 0.215333i
\(460\) 2.94620 2.08068i 0.137368 0.0970122i
\(461\) 2.34058 + 0.534221i 0.109012 + 0.0248812i 0.276679 0.960962i \(-0.410766\pi\)
−0.167667 + 0.985844i \(0.553623\pi\)
\(462\) 0.848661 2.48491i 0.0394833 0.115608i
\(463\) 1.28563 0.293437i 0.0597484 0.0136372i −0.192542 0.981289i \(-0.561673\pi\)
0.252291 + 0.967652i \(0.418816\pi\)
\(464\) −19.7709 2.31609i −0.917843 0.107522i
\(465\) −5.59967 + 4.46559i −0.259678 + 0.207087i
\(466\) −6.43162 4.30775i −0.297939 0.199553i
\(467\) 6.27873 + 27.5089i 0.290545 + 1.27296i 0.883769 + 0.467923i \(0.154998\pi\)
−0.593224 + 0.805037i \(0.702145\pi\)
\(468\) −2.10850 + 2.34896i −0.0974656 + 0.108581i
\(469\) −6.76035 2.95557i −0.312164 0.136475i
\(470\) 41.3679 3.44336i 1.90816 0.158830i
\(471\) 18.6082i 0.857419i
\(472\) 5.29698 6.99016i 0.243813 0.321748i
\(473\) −1.02169 + 4.47633i −0.0469775 + 0.205822i
\(474\) 5.67257 + 6.01335i 0.260550 + 0.276202i
\(475\) −9.64867 12.0990i −0.442711 0.555142i
\(476\) −23.9116 + 4.91535i −1.09599 + 0.225295i
\(477\) 4.11252 5.15694i 0.188300 0.236120i
\(478\) 18.3099 1.52407i 0.837474 0.0697092i
\(479\) −8.27614 + 10.3780i −0.378147 + 0.474181i −0.934089 0.357040i \(-0.883786\pi\)
0.555942 + 0.831221i \(0.312357\pi\)
\(480\) −18.5029 + 8.15725i −0.844537 + 0.372326i
\(481\) 1.34770 1.07476i 0.0614499 0.0490047i
\(482\) −1.66169 + 11.6772i −0.0756881 + 0.531882i
\(483\) 0.793437 1.07338i 0.0361026 0.0488403i
\(484\) −10.2059 + 18.3703i −0.463906 + 0.835015i
\(485\) 50.0306 + 24.0935i 2.27177 + 1.09403i
\(486\) −0.717182 1.21887i −0.0325320 0.0552892i
\(487\) 11.0966 23.0423i 0.502835 1.04415i −0.482874 0.875690i \(-0.660407\pi\)
0.985709 0.168457i \(-0.0538785\pi\)
\(488\) −34.1446 + 8.68721i −1.54565 + 0.393251i
\(489\) 7.59412i 0.343418i
\(490\) −2.40656 + 35.3052i −0.108717 + 1.59493i
\(491\) 17.6835i 0.798044i 0.916941 + 0.399022i \(0.130650\pi\)
−0.916941 + 0.399022i \(0.869350\pi\)
\(492\) −20.8503 1.21711i −0.940005 0.0548715i
\(493\) −9.96133 + 20.6849i −0.448636 + 0.931602i
\(494\) −3.82736 + 2.25201i −0.172201 + 0.101323i
\(495\) −2.26019 1.08845i −0.101588 0.0489222i
\(496\) 0.862169 + 7.96800i 0.0387125 + 0.357774i
\(497\) 7.10210 37.3814i 0.318573 1.67679i
\(498\) 21.5983 + 3.07350i 0.967844 + 0.137727i
\(499\) −18.9442 + 15.1075i −0.848059 + 0.676305i −0.947855 0.318703i \(-0.896753\pi\)
0.0997951 + 0.995008i \(0.468181\pi\)
\(500\) 17.3616 + 9.64551i 0.776434 + 0.431360i
\(501\) 4.26853 5.35257i 0.190704 0.239135i
\(502\) 0.450039 + 5.40668i 0.0200862 + 0.241312i
\(503\) −15.1392 + 18.9840i −0.675026 + 0.846455i −0.994885 0.101009i \(-0.967793\pi\)
0.319860 + 0.947465i \(0.396364\pi\)
\(504\) −5.55344 + 5.01591i −0.247370 + 0.223426i
\(505\) 11.0793 + 13.8930i 0.493021 + 0.618229i
\(506\) 0.364223 0.343582i 0.0161917 0.0152741i
\(507\) −2.33851 + 10.2457i −0.103857 + 0.455026i
\(508\) −15.9451 22.5779i −0.707448 1.00173i
\(509\) 21.0118i 0.931331i 0.884961 + 0.465665i \(0.154185\pi\)
−0.884961 + 0.465665i \(0.845815\pi\)
\(510\) 1.93457 + 23.2415i 0.0856641 + 1.02915i
\(511\) −7.65976 28.6729i −0.338848 1.26842i
\(512\) −3.38551 + 22.3727i −0.149620 + 0.988744i
\(513\) −0.442729 1.93972i −0.0195470 0.0856409i
\(514\) 20.3873 30.4389i 0.899244 1.34260i
\(515\) 47.4540 37.8433i 2.09107 1.66758i
\(516\) 8.74073 9.73753i 0.384789 0.428671i
\(517\) 5.61812 1.28230i 0.247085 0.0563954i
\(518\) 3.44390 2.20011i 0.151316 0.0966675i
\(519\) −5.10966 1.16625i −0.224289 0.0511925i
\(520\) 9.63738 12.7180i 0.422627 0.557720i
\(521\) 3.55162i 0.155599i 0.996969 + 0.0777997i \(0.0247895\pi\)
−0.996969 + 0.0777997i \(0.975211\pi\)
\(522\) 0.583797 + 7.01363i 0.0255521 + 0.306978i
\(523\) −16.3670 + 7.88195i −0.715680 + 0.344653i −0.756034 0.654532i \(-0.772866\pi\)
0.0403541 + 0.999185i \(0.487151\pi\)
\(524\) 26.3197 + 7.64553i 1.14978 + 0.333997i
\(525\) 20.2171 + 3.84105i 0.882348 + 0.167637i
\(526\) 18.5458 + 7.10278i 0.808637 + 0.309696i
\(527\) 9.01169 + 2.05686i 0.392555 + 0.0895982i
\(528\) −2.38344 + 1.48298i −0.103726 + 0.0645383i
\(529\) −20.4930 + 9.86889i −0.890998 + 0.429082i
\(530\) −18.5559 + 27.7046i −0.806017 + 1.20341i
\(531\) −2.79374 1.34539i −0.121238 0.0583851i
\(532\) −9.58212 + 4.36142i −0.415438 + 0.189092i
\(533\) 14.8493 7.15103i 0.643193 0.309746i
\(534\) −1.96484 + 13.8075i −0.0850268 + 0.597508i
\(535\) −12.3609 54.1568i −0.534410 2.34140i
\(536\) 3.59705 + 7.01967i 0.155369 + 0.303203i
\(537\) 14.0043 + 11.1680i 0.604329 + 0.481936i
\(538\) 8.67479 + 27.3210i 0.373997 + 1.17789i
\(539\) 0.359734 + 4.89929i 0.0154949 + 0.211028i
\(540\) 4.12420 + 5.83979i 0.177477 + 0.251305i
\(541\) 2.66316 3.33949i 0.114498 0.143576i −0.721280 0.692644i \(-0.756446\pi\)
0.835778 + 0.549068i \(0.185017\pi\)
\(542\) 39.1072 + 5.56506i 1.67980 + 0.239040i
\(543\) −19.1001 + 4.35947i −0.819663 + 0.187083i
\(544\) 23.1194 + 12.1059i 0.991235 + 0.519035i
\(545\) −0.989807 2.05536i −0.0423987 0.0880418i
\(546\) 1.90856 5.58832i 0.0816787 0.239158i
\(547\) 6.36134 13.2095i 0.271991 0.564795i −0.719572 0.694418i \(-0.755662\pi\)
0.991563 + 0.129622i \(0.0413764\pi\)
\(548\) 42.1459 + 12.2429i 1.80038 + 0.522989i
\(549\) 5.40469 + 11.2230i 0.230666 + 0.478984i
\(550\) 7.20888 + 2.76090i 0.307388 + 0.117725i
\(551\) −2.20326 + 9.65311i −0.0938620 + 0.411236i
\(552\) −1.38290 + 0.351843i −0.0588601 + 0.0149754i
\(553\) −14.1705 6.19524i −0.602592 0.263448i
\(554\) −16.0606 10.7570i −0.682351 0.457023i
\(555\) −1.69400 3.51762i −0.0719062 0.149315i
\(556\) −11.2972 27.4451i −0.479108 1.16393i
\(557\) 15.3000 0.648280 0.324140 0.946009i \(-0.394925\pi\)
0.324140 + 0.946009i \(0.394925\pi\)
\(558\) 2.70069 0.857505i 0.114329 0.0363011i
\(559\) −2.29769 + 10.0668i −0.0971820 + 0.425782i
\(560\) 25.8742 27.5983i 1.09338 1.16624i
\(561\) 0.720429 + 3.15640i 0.0304165 + 0.133263i
\(562\) −12.8399 21.8218i −0.541620 0.920499i
\(563\) −17.5893 22.0563i −0.741302 0.929563i 0.258029 0.966137i \(-0.416927\pi\)
−0.999331 + 0.0365740i \(0.988356\pi\)
\(564\) −15.7708 4.58122i −0.664071 0.192904i
\(565\) 1.33238 0.304106i 0.0560534 0.0127938i
\(566\) −2.85326 4.84920i −0.119931 0.203827i
\(567\) 2.12758 + 1.57270i 0.0893501 + 0.0660473i
\(568\) −31.1657 + 26.1408i −1.30768 + 1.09684i
\(569\) −14.1930 −0.595001 −0.297500 0.954722i \(-0.596153\pi\)
−0.297500 + 0.954722i \(0.596153\pi\)
\(570\) 3.04382 + 9.58644i 0.127492 + 0.401532i
\(571\) 10.5190 + 2.40089i 0.440206 + 0.100474i 0.436879 0.899520i \(-0.356084\pi\)
0.00332708 + 0.999994i \(0.498941\pi\)
\(572\) 1.07580 1.93640i 0.0449813 0.0809649i
\(573\) 10.3073 8.21982i 0.430595 0.343388i
\(574\) 36.7834 13.1813i 1.53531 0.550175i
\(575\) 3.06796 + 2.44661i 0.127943 + 0.102031i
\(576\) 7.99021 0.395656i 0.332925 0.0164857i
\(577\) 12.6422 + 10.0818i 0.526302 + 0.419711i 0.850262 0.526359i \(-0.176443\pi\)
−0.323961 + 0.946070i \(0.605015\pi\)
\(578\) 4.40608 4.15638i 0.183269 0.172883i
\(579\) 8.34211 + 10.4607i 0.346686 + 0.434731i
\(580\) −5.88220 35.0890i −0.244245 1.45699i
\(581\) −39.4311 + 10.5337i −1.63588 + 0.437012i
\(582\) −15.0750 15.9806i −0.624877 0.662417i
\(583\) −2.00842 + 4.17054i −0.0831805 + 0.172726i
\(584\) −13.0548 + 28.9173i −0.540210 + 1.19661i
\(585\) −5.08295 2.44782i −0.210154 0.101205i
\(586\) −18.9264 7.24855i −0.781844 0.299435i
\(587\) 15.3082 0.631836 0.315918 0.948786i \(-0.397687\pi\)
0.315918 + 0.948786i \(0.397687\pi\)
\(588\) 5.88466 12.7032i 0.242679 0.523870i
\(589\) 3.98643 0.164258
\(590\) 14.6387 + 5.60640i 0.602666 + 0.230812i
\(591\) −0.763786 0.367820i −0.0314180 0.0151301i
\(592\) −4.33918 0.508319i −0.178339 0.0208918i
\(593\) 10.2172 21.2162i 0.419570 0.871246i −0.578870 0.815420i \(-0.696506\pi\)
0.998440 0.0558267i \(-0.0177794\pi\)
\(594\) 0.681028 + 0.721942i 0.0279429 + 0.0296216i
\(595\) −20.3585 38.5904i −0.834617 1.58205i
\(596\) 32.3875 5.42933i 1.32664 0.222394i
\(597\) 7.64491 + 9.58642i 0.312886 + 0.392346i
\(598\) 0.819103 0.772684i 0.0334956 0.0315974i
\(599\) −33.8953 27.0306i −1.38492 1.10444i −0.981932 0.189235i \(-0.939399\pi\)
−0.402991 0.915204i \(-0.632029\pi\)
\(600\) −14.1378 16.8555i −0.577174 0.688121i
\(601\) 6.83001 + 5.44675i 0.278602 + 0.222177i 0.752814 0.658233i \(-0.228696\pi\)
−0.474213 + 0.880410i \(0.657267\pi\)
\(602\) −7.91185 + 23.1662i −0.322463 + 0.944183i
\(603\) 2.18029 1.73872i 0.0887882 0.0708062i
\(604\) 17.6045 + 9.78048i 0.716318 + 0.397962i
\(605\) −36.6188 8.35800i −1.48877 0.339801i
\(606\) −2.12750 6.70050i −0.0864237 0.272189i
\(607\) 24.3637 0.988892 0.494446 0.869208i \(-0.335371\pi\)
0.494446 + 0.869208i \(0.335371\pi\)
\(608\) 10.8825 + 2.87132i 0.441344 + 0.116447i
\(609\) −6.14361 11.6455i −0.248952 0.471899i
\(610\) −31.9344 54.2735i −1.29299 2.19747i
\(611\) 12.6346 2.88377i 0.511141 0.116665i
\(612\) 2.57385 8.86045i 0.104042 0.358162i
\(613\) 25.1581 + 31.5472i 1.01612 + 1.27418i 0.961247 + 0.275687i \(0.0889054\pi\)
0.0548775 + 0.998493i \(0.482523\pi\)
\(614\) −12.2349 20.7936i −0.493760 0.839160i
\(615\) −8.30662 36.3937i −0.334955 1.46754i
\(616\) 3.01631 4.29906i 0.121530 0.173214i
\(617\) −7.05162 + 30.8952i −0.283888 + 1.24379i 0.608875 + 0.793266i \(0.291621\pi\)
−0.892763 + 0.450527i \(0.851236\pi\)
\(618\) −22.8868 + 7.26687i −0.920643 + 0.292316i
\(619\) 39.5127 1.58815 0.794074 0.607821i \(-0.207956\pi\)
0.794074 + 0.607821i \(0.207956\pi\)
\(620\) −13.2462 + 5.45252i −0.531979 + 0.218978i
\(621\) 0.218897 + 0.454543i 0.00878402 + 0.0182402i
\(622\) 23.3795 + 15.6590i 0.937432 + 0.627870i
\(623\) −6.73404 25.2077i −0.269794 1.00992i
\(624\) −5.36012 + 3.33507i −0.214577 + 0.133510i
\(625\) 0.754839 3.30716i 0.0301935 0.132287i
\(626\) −8.40350 3.21842i −0.335872 0.128634i
\(627\) 0.605820 + 1.25800i 0.0241941 + 0.0502396i
\(628\) −10.3817 + 35.7390i −0.414276 + 1.42614i
\(629\) −2.18624 + 4.53977i −0.0871710 + 0.181012i
\(630\) −11.3780 7.03091i −0.453311 0.280118i
\(631\) 2.14670 + 4.45767i 0.0854589 + 0.177457i 0.939319 0.343046i \(-0.111459\pi\)
−0.853860 + 0.520503i \(0.825744\pi\)
\(632\) 7.53986 + 14.7141i 0.299919 + 0.585295i
\(633\) 1.68063 0.383594i 0.0667992 0.0152465i
\(634\) 23.5729 + 3.35448i 0.936198 + 0.133223i
\(635\) 30.8021 38.6246i 1.22234 1.53277i
\(636\) 10.7757 7.61004i 0.427283 0.301758i
\(637\) 0.809008 + 11.0180i 0.0320541 + 0.436551i
\(638\) −1.49469 4.70748i −0.0591752 0.186371i
\(639\) 11.2440 + 8.96678i 0.444805 + 0.354720i
\(640\) −40.0878 + 5.34389i −1.58461 + 0.211236i
\(641\) −0.505030 2.21268i −0.0199475 0.0873956i 0.963974 0.265995i \(-0.0857005\pi\)
−0.983922 + 0.178600i \(0.942843\pi\)
\(642\) −3.09615 + 21.7575i −0.122195 + 0.858702i
\(643\) −1.37211 + 0.660775i −0.0541109 + 0.0260584i −0.460743 0.887533i \(-0.652417\pi\)
0.406633 + 0.913592i \(0.366703\pi\)
\(644\) 2.12273 1.61887i 0.0836473 0.0637923i
\(645\) 21.0712 + 10.1473i 0.829677 + 0.399551i
\(646\) 7.22362 10.7851i 0.284210 0.424335i
\(647\) 28.2426 13.6009i 1.11033 0.534708i 0.213440 0.976956i \(-0.431533\pi\)
0.896893 + 0.442248i \(0.145819\pi\)
\(648\) −0.697402 2.74110i −0.0273965 0.107681i
\(649\) 2.12154 + 0.484228i 0.0832778 + 0.0190076i
\(650\) 16.2121 + 6.20899i 0.635890 + 0.243537i
\(651\) −4.02069 + 3.45481i −0.157583 + 0.135405i
\(652\) −4.23685 + 14.5853i −0.165928 + 0.571205i
\(653\) −8.84670 + 4.26035i −0.346198 + 0.166720i −0.598900 0.800824i \(-0.704395\pi\)
0.252702 + 0.967544i \(0.418681\pi\)
\(654\) 0.0748651 + 0.899416i 0.00292746 + 0.0351700i
\(655\) 48.9863i 1.91405i
\(656\) −39.3662 13.9702i −1.53699 0.545446i
\(657\) 10.9361 + 2.49610i 0.426660 + 0.0973823i
\(658\) 30.5043 3.66869i 1.18918 0.143020i
\(659\) −21.4514 + 4.89615i −0.835629 + 0.190727i −0.618865 0.785497i \(-0.712407\pi\)
−0.216764 + 0.976224i \(0.569550\pi\)
\(660\) −3.73368 3.35147i −0.145333 0.130456i
\(661\) 12.7254 10.1482i 0.494961 0.394718i −0.343949 0.938988i \(-0.611765\pi\)
0.838910 + 0.544270i \(0.183193\pi\)
\(662\) −11.2241 + 16.7580i −0.436237 + 0.651317i
\(663\) 1.62017 + 7.09845i 0.0629224 + 0.275681i
\(664\) 39.7672 + 17.9529i 1.54327 + 0.696710i
\(665\) −12.2633 14.2719i −0.475551 0.553442i
\(666\) 0.128127 + 1.53930i 0.00496483 + 0.0596466i
\(667\) 2.51069i 0.0972142i
\(668\) 11.1844 7.89872i 0.432739 0.305611i
\(669\) 3.23875 14.1899i 0.125217 0.548612i
\(670\) −10.2549 + 9.67376i −0.396182 + 0.373730i
\(671\) −5.45042 6.83461i −0.210411 0.263847i
\(672\) −13.4644 + 6.53526i −0.519401 + 0.252103i
\(673\) −6.26733 + 7.85898i −0.241588 + 0.302941i −0.887812 0.460206i \(-0.847776\pi\)
0.646224 + 0.763147i \(0.276347\pi\)
\(674\) 2.56957 + 30.8704i 0.0989763 + 1.18908i
\(675\) −4.84953 + 6.08112i −0.186659 + 0.234063i
\(676\) −10.2075 + 18.3732i −0.392597 + 0.706662i
\(677\) −10.4270 + 8.31522i −0.400741 + 0.319580i −0.803037 0.595930i \(-0.796784\pi\)
0.402296 + 0.915510i \(0.368212\pi\)
\(678\) −0.535283 0.0761721i −0.0205574 0.00292537i
\(679\) 37.6584 + 16.4640i 1.44520 + 0.631829i
\(680\) −9.25120 + 45.7172i −0.354767 + 1.75317i
\(681\) −25.9747 12.5088i −0.995354 0.479337i
\(682\) −1.71387 + 1.00844i −0.0656275 + 0.0386151i
\(683\) 18.4930 38.4012i 0.707616 1.46938i −0.167704 0.985837i \(-0.553635\pi\)
0.875321 0.483543i \(-0.160650\pi\)
\(684\) 0.231886 3.97245i 0.00886640 0.151891i
\(685\) 78.4421i 2.99712i
\(686\) −0.822598 + 26.1787i −0.0314069 + 0.999507i
\(687\) 0.607729i 0.0231863i
\(688\) 22.2202 13.8254i 0.847137 0.527089i
\(689\) −4.51675 + 9.37913i −0.172075 + 0.357317i
\(690\) −1.29338 2.19814i −0.0492383 0.0836819i
\(691\) −22.4170 10.7955i −0.852784 0.410679i −0.0441736 0.999024i \(-0.514065\pi\)
−0.808610 + 0.588345i \(0.799780\pi\)
\(692\) −9.16298 5.09064i −0.348324 0.193517i
\(693\) −1.70126 0.743778i −0.0646256 0.0282538i
\(694\) −0.306147 + 2.15138i −0.0116212 + 0.0816655i
\(695\) 41.4733 33.0739i 1.57317 1.25456i
\(696\) −2.79175 + 13.7961i −0.105821 + 0.522941i
\(697\) −30.0378 + 37.6662i −1.13776 + 1.42671i
\(698\) 5.06196 0.421345i 0.191598 0.0159481i
\(699\) −3.41279 + 4.27950i −0.129083 + 0.161865i
\(700\) 36.6862 + 18.6565i 1.38661 + 0.705151i
\(701\) −8.42822 10.5687i −0.318330 0.399173i 0.596762 0.802418i \(-0.296454\pi\)
−0.915092 + 0.403245i \(0.867882\pi\)
\(702\) 1.53157 + 1.62358i 0.0578053 + 0.0612780i
\(703\) −0.483554 + 2.11859i −0.0182376 + 0.0799041i
\(704\) −5.40502 + 1.51847i −0.203709 + 0.0572293i
\(705\) 29.3527i 1.10549i
\(706\) 10.6911 0.889904i 0.402366 0.0334920i
\(707\) 8.57151 + 9.97545i 0.322365 + 0.375165i
\(708\) −4.61506 4.14263i −0.173445 0.155690i
\(709\) −5.37123 23.5329i −0.201721 0.883797i −0.969889 0.243548i \(-0.921689\pi\)
0.768168 0.640248i \(-0.221169\pi\)
\(710\) −60.4060 40.4585i −2.26700 1.51838i
\(711\) 4.57015 3.64458i 0.171394 0.136682i
\(712\) −11.4770 + 25.4225i −0.430120 + 0.952749i
\(713\) −0.985496 + 0.224933i −0.0369071 + 0.00842381i
\(714\) 2.06116 + 17.1381i 0.0771372 + 0.641377i
\(715\) 3.85995 + 0.881008i 0.144354 + 0.0329478i
\(716\) 20.6659 + 29.2625i 0.772322 + 1.09359i
\(717\) 12.9918i 0.485188i
\(718\) 16.1236 1.34209i 0.601728 0.0500863i
\(719\) −15.9040 + 7.65896i −0.593119 + 0.285631i −0.706265 0.707947i \(-0.749621\pi\)
0.113146 + 0.993578i \(0.463907\pi\)
\(720\) 4.66288 + 13.5169i 0.173775 + 0.503745i
\(721\) 34.0730 29.2776i 1.26895 1.09036i
\(722\) −7.60793 + 19.8648i −0.283138 + 0.739292i
\(723\) 8.13111 + 1.85587i 0.302399 + 0.0690206i
\(724\) −39.1160 2.28334i −1.45373 0.0848596i
\(725\) 34.8745 16.7947i 1.29521 0.623738i
\(726\) 12.3464 + 8.26932i 0.458218 + 0.306903i
\(727\) 17.4393 + 8.39831i 0.646787 + 0.311476i 0.728364 0.685191i \(-0.240281\pi\)
−0.0815765 + 0.996667i \(0.525995\pi\)
\(728\) 6.78338 9.66816i 0.251409 0.358326i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −56.1417 7.98911i −2.07790 0.295690i
\(731\) −6.71637 29.4263i −0.248414 1.08837i
\(732\) 4.11886 + 24.5702i 0.152238 + 0.908142i
\(733\) 32.7509 + 26.1180i 1.20968 + 0.964689i 0.999915 0.0130623i \(-0.00415799\pi\)
0.209767 + 0.977751i \(0.432729\pi\)
\(734\) 13.1296 4.16883i 0.484624 0.153874i
\(735\) 24.7374 + 3.76666i 0.912451 + 0.138935i
\(736\) −2.85230 0.0957846i −0.105137 0.00353067i
\(737\) −1.22021 + 1.53009i −0.0449469 + 0.0563616i
\(738\) −2.08063 + 14.6212i −0.0765892 + 0.538214i
\(739\) −38.9053 + 8.87987i −1.43115 + 0.326651i −0.866707 0.498818i \(-0.833768\pi\)
−0.564447 + 0.825470i \(0.690910\pi\)
\(740\) −1.29098 7.70107i −0.0474574 0.283097i
\(741\) 1.36243 + 2.82912i 0.0500502 + 0.103930i
\(742\) −12.9735 + 20.9949i −0.476273 + 0.770746i
\(743\) −3.36074 + 6.97866i −0.123294 + 0.256022i −0.953475 0.301471i \(-0.902522\pi\)
0.830182 + 0.557493i \(0.188237\pi\)
\(744\) 5.66538 0.140182i 0.207703 0.00513932i
\(745\) 25.4666 + 52.8820i 0.933025 + 1.93745i
\(746\) 5.73982 14.9870i 0.210150 0.548715i
\(747\) 3.43265 15.0394i 0.125594 0.550263i
\(748\) −0.377336 + 6.46415i −0.0137968 + 0.236353i
\(749\) −10.6114 39.7218i −0.387731 1.45140i
\(750\) 7.81524 11.6684i 0.285372 0.426071i
\(751\) −4.44211 9.22415i −0.162095 0.336594i 0.804063 0.594544i \(-0.202667\pi\)
−0.966158 + 0.257950i \(0.916953\pi\)
\(752\) −27.7336 17.5975i −1.01134 0.641713i
\(753\) 3.83632 0.139803
\(754\) −3.36140 10.5867i −0.122415 0.385543i
\(755\) −8.00958 + 35.0923i −0.291499 + 1.27714i
\(756\) 3.20882 + 4.20755i 0.116704 + 0.153027i
\(757\) 3.60828 + 15.8089i 0.131145 + 0.574585i 0.997210 + 0.0746525i \(0.0237848\pi\)
−0.866064 + 0.499933i \(0.833358\pi\)
\(758\) 45.3690 26.6950i 1.64788 0.969608i
\(759\) −0.220749 0.276810i −0.00801267 0.0100476i
\(760\) 0.497594 + 20.1100i 0.0180496 + 0.729466i
\(761\) 36.0885 8.23696i 1.30821 0.298589i 0.489098 0.872229i \(-0.337326\pi\)
0.819108 + 0.573640i \(0.194469\pi\)
\(762\) −16.8452 + 9.91171i −0.610239 + 0.359063i
\(763\) −0.787846 1.49340i −0.0285219 0.0540646i
\(764\) 24.3823 10.0365i 0.882119 0.363106i
\(765\) 16.4911 0.596236
\(766\) −36.1724 + 11.4852i −1.30696 + 0.414978i
\(767\) 4.77114 + 1.08898i 0.172276 + 0.0393208i
\(768\) 15.5668 + 3.69794i 0.561719 + 0.133438i
\(769\) 7.56173 6.03027i 0.272683 0.217457i −0.477595 0.878580i \(-0.658491\pi\)
0.750278 + 0.661123i \(0.229920\pi\)
\(770\) 8.88265 + 3.03366i 0.320109 + 0.109325i
\(771\) −20.2536 16.1517i −0.729414 0.581689i
\(772\) 10.1858 + 24.7450i