Properties

Label 418.2.u.b.9.2
Level $418$
Weight $2$
Character 418.9
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 9.2
Character \(\chi\) \(=\) 418.9
Dual form 418.2.u.b.93.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.990268 + 0.139173i) q^{2} +(-0.689545 + 2.76561i) q^{3} +(0.961262 + 0.275637i) q^{4} +(-0.144956 + 4.15100i) q^{5} +(-1.06773 + 2.64273i) q^{6} +(1.74927 - 0.778823i) q^{7} +(0.913545 + 0.406737i) q^{8} +(-4.52431 - 2.40562i) q^{9} +O(q^{10})\) \(q+(0.990268 + 0.139173i) q^{2} +(-0.689545 + 2.76561i) q^{3} +(0.961262 + 0.275637i) q^{4} +(-0.144956 + 4.15100i) q^{5} +(-1.06773 + 2.64273i) q^{6} +(1.74927 - 0.778823i) q^{7} +(0.913545 + 0.406737i) q^{8} +(-4.52431 - 2.40562i) q^{9} +(-0.721253 + 4.09043i) q^{10} +(1.86633 - 2.74168i) q^{11} +(-1.42514 + 2.46842i) q^{12} +(1.69266 - 1.05769i) q^{13} +(1.84063 - 0.527793i) q^{14} +(-11.3801 - 3.26320i) q^{15} +(0.848048 + 0.529919i) q^{16} +(0.677873 - 0.360431i) q^{17} +(-4.14548 - 3.01187i) q^{18} +(-0.328761 - 4.34648i) q^{19} +(-1.28351 + 3.95024i) q^{20} +(0.947727 + 5.37483i) q^{21} +(2.22974 - 2.45525i) q^{22} +(-2.10026 + 0.764431i) q^{23} +(-1.75481 + 2.24605i) q^{24} +(-12.2220 - 0.854645i) q^{25} +(1.82339 - 0.811823i) q^{26} +(4.05110 - 4.49920i) q^{27} +(1.89617 - 0.266490i) q^{28} +(4.56408 - 4.40748i) q^{29} +(-10.8152 - 4.81525i) q^{30} +(4.67307 + 5.18997i) q^{31} +(0.766044 + 0.642788i) q^{32} +(6.29550 + 7.05207i) q^{33} +(0.721438 - 0.262582i) q^{34} +(2.97933 + 7.37410i) q^{35} +(-3.68597 - 3.55950i) q^{36} +(-7.37328 - 5.35700i) q^{37} +(0.279352 - 4.34994i) q^{38} +(1.75800 + 5.41056i) q^{39} +(-1.82079 + 3.73317i) q^{40} +(0.920603 - 3.69234i) q^{41} +(0.190473 + 5.45442i) q^{42} +(1.75526 + 0.638863i) q^{43} +(2.54974 - 2.12104i) q^{44} +(10.6416 - 18.4317i) q^{45} +(-2.18621 + 0.464692i) q^{46} +(4.12916 + 8.46604i) q^{47} +(-2.05032 + 1.97997i) q^{48} +(-2.23055 + 2.47728i) q^{49} +(-11.9841 - 2.54730i) q^{50} +(0.529390 + 2.12327i) q^{51} +(1.91862 - 0.550157i) q^{52} +(0.337436 + 9.66290i) q^{53} +(4.63784 - 3.89161i) q^{54} +(11.1102 + 8.14458i) q^{55} +1.91481 q^{56} +(12.2474 + 2.08787i) q^{57} +(5.13306 - 3.72939i) q^{58} +(2.38247 - 4.88478i) q^{59} +(-10.0398 - 6.27357i) q^{60} +(-1.09342 - 1.39952i) q^{61} +(3.90529 + 5.78982i) q^{62} +(-9.78777 - 0.684428i) q^{63} +(0.669131 + 0.743145i) q^{64} +(4.14511 + 7.17954i) q^{65} +(5.25278 + 7.85961i) q^{66} +(2.05822 - 11.6728i) q^{67} +(0.750961 - 0.159622i) q^{68} +(-0.665899 - 6.33561i) q^{69} +(1.92406 + 7.71698i) q^{70} +(-0.115744 + 3.31447i) q^{71} +(-3.15471 - 4.03784i) q^{72} +(-15.9068 + 1.11231i) q^{73} +(-6.55597 - 6.33103i) q^{74} +(10.7912 - 33.2120i) q^{75} +(0.882028 - 4.26873i) q^{76} +(1.12943 - 6.24947i) q^{77} +(0.987884 + 5.60257i) q^{78} +(-4.41213 - 10.9204i) q^{79} +(-2.32263 + 3.44343i) q^{80} +(1.05357 + 1.56198i) q^{81} +(1.42552 - 3.52828i) q^{82} +(13.0105 + 2.76546i) q^{83} +(-0.570490 + 5.42785i) q^{84} +(1.39789 + 2.86610i) q^{85} +(1.64927 + 0.876931i) q^{86} +(9.04225 + 15.6616i) q^{87} +(2.82012 - 1.74554i) q^{88} +(-5.37686 - 4.51172i) q^{89} +(13.1032 - 16.7713i) q^{90} +(2.13715 - 3.16846i) q^{91} +(-2.22960 + 0.155909i) q^{92} +(-17.5757 + 9.34519i) q^{93} +(2.91073 + 8.95832i) q^{94} +(18.0899 - 0.734638i) q^{95} +(-2.30593 + 1.67535i) q^{96} +(5.02705 + 0.706506i) q^{97} +(-2.55361 + 2.14273i) q^{98} +(-15.0393 + 7.91451i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.990268 + 0.139173i 0.700225 + 0.0984102i
\(3\) −0.689545 + 2.76561i −0.398109 + 1.59673i 0.352388 + 0.935854i \(0.385370\pi\)
−0.750497 + 0.660874i \(0.770186\pi\)
\(4\) 0.961262 + 0.275637i 0.480631 + 0.137819i
\(5\) −0.144956 + 4.15100i −0.0648264 + 1.85638i 0.338047 + 0.941129i \(0.390234\pi\)
−0.402874 + 0.915256i \(0.631989\pi\)
\(6\) −1.06773 + 2.64273i −0.435900 + 1.07889i
\(7\) 1.74927 0.778823i 0.661160 0.294368i −0.0485921 0.998819i \(-0.515473\pi\)
0.709752 + 0.704451i \(0.248807\pi\)
\(8\) 0.913545 + 0.406737i 0.322987 + 0.143803i
\(9\) −4.52431 2.40562i −1.50810 0.801873i
\(10\) −0.721253 + 4.09043i −0.228080 + 1.29351i
\(11\) 1.86633 2.74168i 0.562721 0.826647i
\(12\) −1.42514 + 2.46842i −0.411403 + 0.712570i
\(13\) 1.69266 1.05769i 0.469458 0.293350i −0.274487 0.961591i \(-0.588508\pi\)
0.743945 + 0.668241i \(0.232952\pi\)
\(14\) 1.84063 0.527793i 0.491930 0.141059i
\(15\) −11.3801 3.26320i −2.93833 0.842554i
\(16\) 0.848048 + 0.529919i 0.212012 + 0.132480i
\(17\) 0.677873 0.360431i 0.164408 0.0874174i −0.385228 0.922821i \(-0.625877\pi\)
0.549637 + 0.835404i \(0.314766\pi\)
\(18\) −4.14548 3.01187i −0.977100 0.709904i
\(19\) −0.328761 4.34648i −0.0754230 0.997152i
\(20\) −1.28351 + 3.95024i −0.287002 + 0.883302i
\(21\) 0.947727 + 5.37483i 0.206811 + 1.17288i
\(22\) 2.22974 2.45525i 0.475382 0.523462i
\(23\) −2.10026 + 0.764431i −0.437934 + 0.159395i −0.551572 0.834127i \(-0.685972\pi\)
0.113638 + 0.993522i \(0.463750\pi\)
\(24\) −1.75481 + 2.24605i −0.358199 + 0.458473i
\(25\) −12.2220 0.854645i −2.44440 0.170929i
\(26\) 1.82339 0.811823i 0.357595 0.159212i
\(27\) 4.05110 4.49920i 0.779635 0.865872i
\(28\) 1.89617 0.266490i 0.358343 0.0503619i
\(29\) 4.56408 4.40748i 0.847528 0.818448i −0.137561 0.990493i \(-0.543926\pi\)
0.985089 + 0.172045i \(0.0550376\pi\)
\(30\) −10.8152 4.81525i −1.97458 0.879140i
\(31\) 4.67307 + 5.18997i 0.839308 + 0.932146i 0.998481 0.0551051i \(-0.0175494\pi\)
−0.159173 + 0.987251i \(0.550883\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) 6.29550 + 7.05207i 1.09591 + 1.22761i
\(34\) 0.721438 0.262582i 0.123726 0.0450324i
\(35\) 2.97933 + 7.37410i 0.503599 + 1.24645i
\(36\) −3.68597 3.55950i −0.614328 0.593250i
\(37\) −7.37328 5.35700i −1.21216 0.880685i −0.216734 0.976231i \(-0.569540\pi\)
−0.995425 + 0.0955455i \(0.969540\pi\)
\(38\) 0.279352 4.34994i 0.0453169 0.705653i
\(39\) 1.75800 + 5.41056i 0.281505 + 0.866383i
\(40\) −1.82079 + 3.73317i −0.287892 + 0.590266i
\(41\) 0.920603 3.69234i 0.143774 0.576646i −0.854581 0.519318i \(-0.826186\pi\)
0.998355 0.0573286i \(-0.0182583\pi\)
\(42\) 0.190473 + 5.45442i 0.0293906 + 0.841635i
\(43\) 1.75526 + 0.638863i 0.267675 + 0.0974257i 0.472371 0.881400i \(-0.343398\pi\)
−0.204696 + 0.978826i \(0.565621\pi\)
\(44\) 2.54974 2.12104i 0.384388 0.319759i
\(45\) 10.6416 18.4317i 1.58635 2.74764i
\(46\) −2.18621 + 0.464692i −0.322338 + 0.0685151i
\(47\) 4.12916 + 8.46604i 0.602300 + 1.23490i 0.954286 + 0.298894i \(0.0966176\pi\)
−0.351986 + 0.936005i \(0.614494\pi\)
\(48\) −2.05032 + 1.97997i −0.295938 + 0.285784i
\(49\) −2.23055 + 2.47728i −0.318650 + 0.353897i
\(50\) −11.9841 2.54730i −1.69481 0.360243i
\(51\) 0.529390 + 2.12327i 0.0741295 + 0.297317i
\(52\) 1.91862 0.550157i 0.266065 0.0762930i
\(53\) 0.337436 + 9.66290i 0.0463504 + 1.32730i 0.770403 + 0.637557i \(0.220055\pi\)
−0.724053 + 0.689744i \(0.757723\pi\)
\(54\) 4.63784 3.89161i 0.631130 0.529581i
\(55\) 11.1102 + 8.14458i 1.49810 + 1.09821i
\(56\) 1.91481 0.255877
\(57\) 12.2474 + 2.08787i 1.62221 + 0.276545i
\(58\) 5.13306 3.72939i 0.674004 0.489692i
\(59\) 2.38247 4.88478i 0.310171 0.635945i −0.685584 0.727994i \(-0.740453\pi\)
0.995754 + 0.0920494i \(0.0293418\pi\)
\(60\) −10.0398 6.27357i −1.29613 0.809915i
\(61\) −1.09342 1.39952i −0.139998 0.179190i 0.712902 0.701264i \(-0.247381\pi\)
−0.852900 + 0.522074i \(0.825158\pi\)
\(62\) 3.90529 + 5.78982i 0.495972 + 0.735308i
\(63\) −9.78777 0.684428i −1.23314 0.0862298i
\(64\) 0.669131 + 0.743145i 0.0836413 + 0.0928931i
\(65\) 4.14511 + 7.17954i 0.514137 + 0.890512i
\(66\) 5.25278 + 7.85961i 0.646572 + 0.967451i
\(67\) 2.05822 11.6728i 0.251452 1.42605i −0.553567 0.832805i \(-0.686734\pi\)
0.805019 0.593249i \(-0.202155\pi\)
\(68\) 0.750961 0.159622i 0.0910674 0.0193570i
\(69\) −0.665899 6.33561i −0.0801649 0.762718i
\(70\) 1.92406 + 7.71698i 0.229969 + 0.922356i
\(71\) −0.115744 + 3.31447i −0.0137363 + 0.393355i 0.972979 + 0.230894i \(0.0741652\pi\)
−0.986715 + 0.162460i \(0.948057\pi\)
\(72\) −3.15471 4.03784i −0.371786 0.475864i
\(73\) −15.9068 + 1.11231i −1.86176 + 0.130187i −0.955954 0.293516i \(-0.905174\pi\)
−0.905801 + 0.423703i \(0.860730\pi\)
\(74\) −6.55597 6.33103i −0.762116 0.735967i
\(75\) 10.7912 33.2120i 1.24606 3.83499i
\(76\) 0.882028 4.26873i 0.101176 0.489657i
\(77\) 1.12943 6.24947i 0.128711 0.712193i
\(78\) 0.987884 + 5.60257i 0.111856 + 0.634366i
\(79\) −4.41213 10.9204i −0.496403 1.22864i −0.942666 0.333739i \(-0.891690\pi\)
0.446262 0.894902i \(-0.352755\pi\)
\(80\) −2.32263 + 3.44343i −0.259677 + 0.384988i
\(81\) 1.05357 + 1.56198i 0.117063 + 0.173553i
\(82\) 1.42552 3.52828i 0.157422 0.389633i
\(83\) 13.0105 + 2.76546i 1.42808 + 0.303549i 0.856140 0.516744i \(-0.172856\pi\)
0.571944 + 0.820293i \(0.306189\pi\)
\(84\) −0.570490 + 5.42785i −0.0622455 + 0.592227i
\(85\) 1.39789 + 2.86610i 0.151622 + 0.310872i
\(86\) 1.64927 + 0.876931i 0.177845 + 0.0945619i
\(87\) 9.04225 + 15.6616i 0.969431 + 1.67910i
\(88\) 2.82012 1.74554i 0.300626 0.186075i
\(89\) −5.37686 4.51172i −0.569946 0.478242i 0.311682 0.950187i \(-0.399108\pi\)
−0.881628 + 0.471945i \(0.843552\pi\)
\(90\) 13.1032 16.7713i 1.38120 1.76785i
\(91\) 2.13715 3.16846i 0.224034 0.332145i
\(92\) −2.22960 + 0.155909i −0.232452 + 0.0162546i
\(93\) −17.5757 + 9.34519i −1.82252 + 0.969051i
\(94\) 2.91073 + 8.95832i 0.300219 + 0.923980i
\(95\) 18.0899 0.734638i 1.85599 0.0753723i
\(96\) −2.30593 + 1.67535i −0.235348 + 0.170990i
\(97\) 5.02705 + 0.706506i 0.510420 + 0.0717348i 0.389682 0.920950i \(-0.372585\pi\)
0.120738 + 0.992684i \(0.461474\pi\)
\(98\) −2.55361 + 2.14273i −0.257954 + 0.216449i
\(99\) −15.0393 + 7.91451i −1.51151 + 0.795439i
\(100\) −11.5130 4.19037i −1.15130 0.419037i
\(101\) −8.01526 + 5.00849i −0.797548 + 0.498363i −0.866452 0.499260i \(-0.833605\pi\)
0.0689043 + 0.997623i \(0.478050\pi\)
\(102\) 0.228736 + 2.17628i 0.0226483 + 0.215484i
\(103\) −0.391139 + 3.72144i −0.0385401 + 0.366685i 0.958206 + 0.286079i \(0.0923521\pi\)
−0.996746 + 0.0806055i \(0.974315\pi\)
\(104\) 1.97652 0.277782i 0.193814 0.0272387i
\(105\) −22.4483 + 3.15490i −2.19073 + 0.307887i
\(106\) −1.01066 + 9.61582i −0.0981643 + 0.933971i
\(107\) 1.04623 + 9.95419i 0.101143 + 0.962308i 0.920953 + 0.389673i \(0.127412\pi\)
−0.819811 + 0.572635i \(0.805921\pi\)
\(108\) 5.13432 3.20828i 0.494050 0.308717i
\(109\) 1.41799 + 0.516108i 0.135819 + 0.0494341i 0.409035 0.912518i \(-0.365865\pi\)
−0.273216 + 0.961953i \(0.588087\pi\)
\(110\) 9.86855 + 9.61155i 0.940929 + 0.916426i
\(111\) 19.8996 16.6977i 1.88879 1.58488i
\(112\) 1.89617 + 0.266490i 0.179172 + 0.0251809i
\(113\) 3.02459 2.19749i 0.284530 0.206723i −0.436361 0.899772i \(-0.643733\pi\)
0.720891 + 0.693049i \(0.243733\pi\)
\(114\) 11.8376 + 3.77206i 1.10870 + 0.353286i
\(115\) −2.86871 8.82898i −0.267509 0.823307i
\(116\) 5.60214 2.97871i 0.520145 0.276566i
\(117\) −10.2025 + 0.713428i −0.943221 + 0.0659565i
\(118\) 3.03911 4.50567i 0.279773 0.414780i
\(119\) 0.905067 1.15843i 0.0829674 0.106193i
\(120\) −9.06900 7.60979i −0.827882 0.694676i
\(121\) −4.03360 10.2338i −0.366691 0.930343i
\(122\) −0.888007 1.53807i −0.0803964 0.139251i
\(123\) 9.57678 + 5.09207i 0.863510 + 0.459136i
\(124\) 3.06149 + 6.27699i 0.274930 + 0.563690i
\(125\) 3.14847 29.9557i 0.281608 2.67932i
\(126\) −9.59726 2.03996i −0.854992 0.181734i
\(127\) −5.12056 + 12.6738i −0.454377 + 1.12462i 0.510020 + 0.860162i \(0.329638\pi\)
−0.964397 + 0.264459i \(0.914807\pi\)
\(128\) 0.559193 + 0.829038i 0.0494261 + 0.0732773i
\(129\) −2.97718 + 4.41385i −0.262126 + 0.388618i
\(130\) 3.10557 + 7.68656i 0.272377 + 0.674156i
\(131\) −2.19460 12.4462i −0.191743 1.08743i −0.916981 0.398930i \(-0.869381\pi\)
0.725238 0.688498i \(-0.241730\pi\)
\(132\) 4.10781 + 8.51416i 0.357539 + 0.741063i
\(133\) −3.96023 7.34711i −0.343396 0.637075i
\(134\) 3.66272 11.2727i 0.316411 0.973814i
\(135\) 18.0890 + 17.4683i 1.55685 + 1.50343i
\(136\) 0.765868 0.0535547i 0.0656726 0.00459228i
\(137\) 8.86980 + 11.3528i 0.757798 + 0.969937i 1.00000 0.000288807i \(-9.19300e-5\pi\)
−0.242202 + 0.970226i \(0.577870\pi\)
\(138\) 0.222328 6.36663i 0.0189258 0.541963i
\(139\) 1.92224 + 7.70967i 0.163042 + 0.653926i 0.995069 + 0.0991901i \(0.0316252\pi\)
−0.832026 + 0.554736i \(0.812819\pi\)
\(140\) 0.831338 + 7.90966i 0.0702609 + 0.668488i
\(141\) −26.2610 + 5.58196i −2.21158 + 0.470086i
\(142\) −0.575902 + 3.26610i −0.0483286 + 0.274085i
\(143\) 0.259219 6.61472i 0.0216770 0.553151i
\(144\) −2.56205 4.43760i −0.213504 0.369800i
\(145\) 17.6339 + 19.5844i 1.46441 + 1.62639i
\(146\) −15.9068 1.11231i −1.31646 0.0920558i
\(147\) −5.31313 7.87703i −0.438219 0.649687i
\(148\) −5.61106 7.18183i −0.461226 0.590343i
\(149\) −15.1388 9.45977i −1.24022 0.774975i −0.258629 0.965977i \(-0.583271\pi\)
−0.981590 + 0.191002i \(0.938826\pi\)
\(150\) 15.3084 31.3869i 1.24993 2.56273i
\(151\) 13.2593 9.63342i 1.07902 0.783957i 0.101511 0.994834i \(-0.467632\pi\)
0.977512 + 0.210878i \(0.0676322\pi\)
\(152\) 1.46754 4.10443i 0.119033 0.332913i
\(153\) −3.93397 −0.318042
\(154\) 1.98820 6.03146i 0.160214 0.486029i
\(155\) −22.2210 + 18.6456i −1.78483 + 1.49765i
\(156\) 0.198543 + 5.68553i 0.0158962 + 0.455207i
\(157\) 9.05304 2.59592i 0.722511 0.207177i 0.105824 0.994385i \(-0.466252\pi\)
0.616687 + 0.787208i \(0.288474\pi\)
\(158\) −2.84936 11.4282i −0.226683 0.909177i
\(159\) −26.9565 5.72979i −2.13779 0.454402i
\(160\) −2.77926 + 3.08668i −0.219719 + 0.244023i
\(161\) −3.07855 + 2.97292i −0.242624 + 0.234299i
\(162\) 0.825928 + 1.69340i 0.0648910 + 0.133046i
\(163\) −15.1687 + 3.22421i −1.18811 + 0.252540i −0.759229 0.650823i \(-0.774424\pi\)
−0.428877 + 0.903363i \(0.641091\pi\)
\(164\) 1.90269 3.29555i 0.148575 0.257339i
\(165\) −30.1857 + 25.1104i −2.34996 + 1.95484i
\(166\) 12.4990 + 4.54925i 0.970108 + 0.353091i
\(167\) −0.437463 12.5273i −0.0338519 0.969392i −0.890912 0.454176i \(-0.849934\pi\)
0.857060 0.515216i \(-0.172288\pi\)
\(168\) −1.32035 + 5.29563i −0.101867 + 0.408566i
\(169\) −3.95245 + 8.10371i −0.304034 + 0.623363i
\(170\) 0.985401 + 3.03275i 0.0755768 + 0.232602i
\(171\) −8.96856 + 20.4557i −0.685843 + 1.56429i
\(172\) 1.51117 + 1.09793i 0.115226 + 0.0837164i
\(173\) −14.0389 13.5572i −1.06736 1.03073i −0.999454 0.0330428i \(-0.989480\pi\)
−0.0679031 0.997692i \(-0.521631\pi\)
\(174\) 6.77457 + 16.7676i 0.513579 + 1.27115i
\(175\) −22.0451 + 8.02377i −1.66645 + 0.606540i
\(176\) 3.03561 1.33607i 0.228818 0.100710i
\(177\) 11.8666 + 9.95727i 0.891949 + 0.748434i
\(178\) −4.69663 5.21613i −0.352027 0.390966i
\(179\) 6.69939 + 2.98276i 0.500736 + 0.222942i 0.641531 0.767097i \(-0.278299\pi\)
−0.140796 + 0.990039i \(0.544966\pi\)
\(180\) 15.3098 14.7845i 1.14112 1.10197i
\(181\) 9.26961 1.30276i 0.689005 0.0968333i 0.214023 0.976829i \(-0.431343\pi\)
0.474982 + 0.879995i \(0.342454\pi\)
\(182\) 2.55732 2.84019i 0.189561 0.210529i
\(183\) 4.62449 2.05896i 0.341852 0.152202i
\(184\) −2.22960 0.155909i −0.164368 0.0114938i
\(185\) 23.3057 29.8300i 1.71347 2.19314i
\(186\) −18.7053 + 6.80817i −1.37154 + 0.499199i
\(187\) 0.276950 2.53119i 0.0202526 0.185099i
\(188\) 1.63565 + 9.27623i 0.119292 + 0.676539i
\(189\) 3.58237 11.0254i 0.260579 0.801979i
\(190\) 18.0161 + 1.79014i 1.30703 + 0.129870i
\(191\) 15.5772 + 11.3175i 1.12712 + 0.818904i 0.985274 0.170984i \(-0.0546946\pi\)
0.141851 + 0.989888i \(0.454695\pi\)
\(192\) −2.51665 + 1.33813i −0.181623 + 0.0965709i
\(193\) 1.12901 + 0.705481i 0.0812676 + 0.0507816i 0.569944 0.821683i \(-0.306965\pi\)
−0.488677 + 0.872465i \(0.662520\pi\)
\(194\) 4.87980 + 1.39926i 0.350349 + 0.100461i
\(195\) −22.7141 + 6.51316i −1.62659 + 0.466417i
\(196\) −2.82697 + 1.76649i −0.201927 + 0.126178i
\(197\) 5.62397 9.74099i 0.400691 0.694017i −0.593119 0.805115i \(-0.702103\pi\)
0.993809 + 0.111098i \(0.0354368\pi\)
\(198\) −15.9944 + 5.74442i −1.13667 + 0.408238i
\(199\) −1.43228 + 8.12286i −0.101532 + 0.575814i 0.891017 + 0.453969i \(0.149992\pi\)
−0.992549 + 0.121845i \(0.961119\pi\)
\(200\) −10.8177 5.75189i −0.764929 0.406720i
\(201\) 30.8631 + 13.7411i 2.17692 + 0.969225i
\(202\) −8.63430 + 3.84424i −0.607507 + 0.270480i
\(203\) 4.55114 11.2645i 0.319427 0.790610i
\(204\) −0.0763695 + 2.18694i −0.00534693 + 0.153116i
\(205\) 15.1935 + 4.35665i 1.06116 + 0.304282i
\(206\) −0.905258 + 3.63079i −0.0630723 + 0.252969i
\(207\) 11.3411 + 1.59389i 0.788264 + 0.110783i
\(208\) 1.99594 0.138394
\(209\) −12.5302 7.21063i −0.866734 0.498770i
\(210\) −22.6689 −1.56430
\(211\) 2.72024 + 0.382305i 0.187269 + 0.0263190i 0.232184 0.972672i \(-0.425413\pi\)
−0.0449150 + 0.998991i \(0.514302\pi\)
\(212\) −2.33909 + 9.38158i −0.160649 + 0.644330i
\(213\) −9.08673 2.60558i −0.622612 0.178531i
\(214\) −0.349310 + 10.0029i −0.0238783 + 0.683786i
\(215\) −2.90636 + 7.19349i −0.198212 + 0.490592i
\(216\) 5.53085 2.46249i 0.376327 0.167552i
\(217\) 12.2165 + 5.43914i 0.829310 + 0.369233i
\(218\) 1.33237 + 0.708431i 0.0902392 + 0.0479810i
\(219\) 7.89225 44.7592i 0.533309 3.02455i
\(220\) 8.43484 + 10.8915i 0.568677 + 0.734302i
\(221\) 0.766181 1.32706i 0.0515389 0.0892680i
\(222\) 22.0298 13.7658i 1.47854 0.923897i
\(223\) −9.69069 + 2.77876i −0.648937 + 0.186080i −0.583928 0.811805i \(-0.698485\pi\)
−0.0650082 + 0.997885i \(0.520707\pi\)
\(224\) 1.84063 + 0.527793i 0.122982 + 0.0352647i
\(225\) 53.2401 + 33.2681i 3.54934 + 2.21787i
\(226\) 3.30099 1.75517i 0.219579 0.116752i
\(227\) 3.79986 + 2.76076i 0.252206 + 0.183238i 0.706704 0.707510i \(-0.250181\pi\)
−0.454498 + 0.890748i \(0.650181\pi\)
\(228\) 11.1975 + 5.38283i 0.741570 + 0.356487i
\(229\) −0.621148 + 1.91170i −0.0410466 + 0.126329i −0.969480 0.245170i \(-0.921156\pi\)
0.928433 + 0.371499i \(0.121156\pi\)
\(230\) −1.61203 9.14230i −0.106294 0.602826i
\(231\) 16.5048 + 7.43286i 1.08594 + 0.489046i
\(232\) 5.96217 2.17005i 0.391436 0.142471i
\(233\) −7.88272 + 10.0894i −0.516414 + 0.660980i −0.973565 0.228409i \(-0.926648\pi\)
0.457151 + 0.889389i \(0.348870\pi\)
\(234\) −10.2025 0.713428i −0.666958 0.0466383i
\(235\) −35.7411 + 15.9130i −2.33149 + 1.03805i
\(236\) 3.63660 4.03886i 0.236723 0.262907i
\(237\) 33.2440 4.67214i 2.15943 0.303488i
\(238\) 1.05748 1.02120i 0.0685464 0.0661945i
\(239\) −3.23130 1.43867i −0.209015 0.0930596i 0.299559 0.954078i \(-0.403161\pi\)
−0.508574 + 0.861018i \(0.669827\pi\)
\(240\) −7.92166 8.79789i −0.511341 0.567902i
\(241\) −18.4395 15.4726i −1.18779 0.996675i −0.999895 0.0144866i \(-0.995389\pi\)
−0.187896 0.982189i \(-0.560167\pi\)
\(242\) −2.57008 10.6955i −0.165211 0.687536i
\(243\) 12.0212 4.37535i 0.771158 0.280679i
\(244\) −0.665306 1.64669i −0.0425919 0.105419i
\(245\) −9.95985 9.61811i −0.636311 0.614479i
\(246\) 8.77491 + 6.37534i 0.559468 + 0.406477i
\(247\) −5.15371 7.00938i −0.327923 0.445996i
\(248\) 2.15811 + 6.64198i 0.137040 + 0.421766i
\(249\) −16.6195 + 34.0750i −1.05322 + 2.15942i
\(250\) 7.28686 29.2260i 0.460862 1.84842i
\(251\) 0.703220 + 20.1376i 0.0443868 + 1.27107i 0.793475 + 0.608603i \(0.208270\pi\)
−0.749088 + 0.662470i \(0.769508\pi\)
\(252\) −9.21996 3.35579i −0.580803 0.211395i
\(253\) −1.82396 + 7.18491i −0.114671 + 0.451711i
\(254\) −6.83459 + 11.8379i −0.428840 + 0.742773i
\(255\) −8.89043 + 1.88972i −0.556740 + 0.118339i
\(256\) 0.438371 + 0.898794i 0.0273982 + 0.0561746i
\(257\) −1.60592 + 1.55082i −0.100174 + 0.0967373i −0.743060 0.669225i \(-0.766626\pi\)
0.642885 + 0.765963i \(0.277737\pi\)
\(258\) −3.56250 + 3.95655i −0.221791 + 0.246324i
\(259\) −17.0700 3.62834i −1.06068 0.225454i
\(260\) 2.00559 + 8.04396i 0.124381 + 0.498865i
\(261\) −31.2520 + 8.96137i −1.93445 + 0.554695i
\(262\) −0.441067 12.6305i −0.0272492 0.780314i
\(263\) 8.46988 7.10707i 0.522275 0.438241i −0.343149 0.939281i \(-0.611494\pi\)
0.865424 + 0.501040i \(0.167049\pi\)
\(264\) 2.88289 + 9.00300i 0.177430 + 0.554096i
\(265\) −40.1596 −2.46699
\(266\) −2.89917 7.82676i −0.177760 0.479890i
\(267\) 16.1853 11.7593i 0.990523 0.719657i
\(268\) 5.19594 10.6532i 0.317392 0.650751i
\(269\) 14.9351 + 9.33251i 0.910612 + 0.569013i 0.902375 0.430953i \(-0.141822\pi\)
0.00823729 + 0.999966i \(0.497378\pi\)
\(270\) 15.4818 + 19.8158i 0.942193 + 1.20595i
\(271\) 0.701510 + 1.04003i 0.0426137 + 0.0631774i 0.849742 0.527198i \(-0.176757\pi\)
−0.807129 + 0.590376i \(0.798980\pi\)
\(272\) 0.765868 + 0.0535547i 0.0464376 + 0.00324723i
\(273\) 7.28907 + 8.09534i 0.441155 + 0.489952i
\(274\) 7.20347 + 12.4768i 0.435177 + 0.753749i
\(275\) −25.1535 + 31.9137i −1.51681 + 1.92447i
\(276\) 1.10623 6.27373i 0.0665870 0.377634i
\(277\) 5.94651 1.26397i 0.357291 0.0759446i −0.0257691 0.999668i \(-0.508203\pi\)
0.383060 + 0.923723i \(0.374870\pi\)
\(278\) 0.830551 + 7.90217i 0.0498132 + 0.473941i
\(279\) −8.65733 34.7226i −0.518300 2.07879i
\(280\) −0.277564 + 7.94838i −0.0165876 + 0.475007i
\(281\) −12.1583 15.5619i −0.725302 0.928345i 0.274142 0.961689i \(-0.411606\pi\)
−0.999444 + 0.0333446i \(0.989384\pi\)
\(282\) −26.7823 + 1.87280i −1.59486 + 0.111524i
\(283\) −11.1786 10.7950i −0.664499 0.641699i 0.283872 0.958862i \(-0.408381\pi\)
−0.948371 + 0.317163i \(0.897270\pi\)
\(284\) −1.02485 + 3.15417i −0.0608137 + 0.187165i
\(285\) −10.4421 + 50.5363i −0.618536 + 2.99351i
\(286\) 1.17729 6.51427i 0.0696145 0.385197i
\(287\) −1.26530 7.17587i −0.0746882 0.423578i
\(288\) −1.91952 4.75098i −0.113109 0.279954i
\(289\) −9.17668 + 13.6050i −0.539805 + 0.800293i
\(290\) 14.7366 + 21.8479i 0.865364 + 1.28296i
\(291\) −5.42030 + 13.4157i −0.317744 + 0.786443i
\(292\) −15.5972 3.31529i −0.912759 0.194013i
\(293\) −1.06097 + 10.0944i −0.0619823 + 0.589722i 0.918815 + 0.394690i \(0.129148\pi\)
−0.980797 + 0.195032i \(0.937519\pi\)
\(294\) −4.16515 8.53982i −0.242916 0.498052i
\(295\) 19.9314 + 10.5977i 1.16045 + 0.617023i
\(296\) −4.55694 7.89284i −0.264866 0.458762i
\(297\) −4.77466 19.5038i −0.277054 1.13173i
\(298\) −13.6749 11.4746i −0.792167 0.664707i
\(299\) −2.74648 + 3.51534i −0.158833 + 0.203297i
\(300\) 19.5277 28.9510i 1.12743 1.67148i
\(301\) 3.56798 0.249497i 0.205655 0.0143808i
\(302\) 14.4709 7.69433i 0.832709 0.442759i
\(303\) −8.32467 25.6207i −0.478240 1.47187i
\(304\) 2.02448 3.86024i 0.116112 0.221400i
\(305\) 5.96790 4.33593i 0.341721 0.248275i
\(306\) −3.89568 0.547502i −0.222701 0.0312986i
\(307\) 22.5035 18.8827i 1.28434 1.07769i 0.291713 0.956506i \(-0.405775\pi\)
0.992630 0.121185i \(-0.0386696\pi\)
\(308\) 2.80827 5.69606i 0.160016 0.324563i
\(309\) −10.0224 3.64784i −0.570153 0.207519i
\(310\) −24.5997 + 15.3716i −1.39717 + 0.873047i
\(311\) −0.489517 4.65744i −0.0277580 0.264099i −0.999595 0.0284468i \(-0.990944\pi\)
0.971837 0.235653i \(-0.0757228\pi\)
\(312\) −0.594662 + 5.65783i −0.0336661 + 0.320312i
\(313\) −8.14553 + 1.14478i −0.460412 + 0.0647068i −0.365567 0.930785i \(-0.619125\pi\)
−0.0948459 + 0.995492i \(0.530236\pi\)
\(314\) 9.32621 1.31071i 0.526309 0.0739679i
\(315\) 4.25986 40.5299i 0.240016 2.28360i
\(316\) −1.23114 11.7135i −0.0692570 0.658936i
\(317\) 14.2194 8.88530i 0.798644 0.499048i −0.0681738 0.997673i \(-0.521717\pi\)
0.866818 + 0.498625i \(0.166162\pi\)
\(318\) −25.8968 9.42565i −1.45222 0.528564i
\(319\) −3.56579 20.7390i −0.199646 1.16116i
\(320\) −3.18179 + 2.66984i −0.177868 + 0.149249i
\(321\) −28.2509 3.97040i −1.57681 0.221606i
\(322\) −3.46234 + 2.51554i −0.192949 + 0.140185i
\(323\) −1.78947 2.82787i −0.0995686 0.157347i
\(324\) 0.582214 + 1.79187i 0.0323452 + 0.0995484i
\(325\) −21.5916 + 11.4804i −1.19769 + 0.636821i
\(326\) −15.4698 + 1.08176i −0.856794 + 0.0599129i
\(327\) −2.40513 + 3.56575i −0.133004 + 0.197186i
\(328\) 2.34282 2.99867i 0.129361 0.165574i
\(329\) 13.8166 + 11.5935i 0.761731 + 0.639168i
\(330\) −33.3867 + 20.6650i −1.83788 + 1.13757i
\(331\) −10.1438 17.5697i −0.557556 0.965716i −0.997700 0.0677883i \(-0.978406\pi\)
0.440143 0.897927i \(-0.354928\pi\)
\(332\) 11.7442 + 6.24450i 0.644547 + 0.342712i
\(333\) 20.4721 + 41.9740i 1.12186 + 2.30016i
\(334\) 1.31026 12.4663i 0.0716942 0.682124i
\(335\) 48.1553 + 10.2357i 2.63100 + 0.559237i
\(336\) −2.04451 + 5.06033i −0.111537 + 0.276064i
\(337\) −4.07762 6.04531i −0.222122 0.329309i 0.701461 0.712708i \(-0.252531\pi\)
−0.923583 + 0.383398i \(0.874754\pi\)
\(338\) −5.04180 + 7.47478i −0.274238 + 0.406574i
\(339\) 3.99183 + 9.88013i 0.216806 + 0.536615i
\(340\) 0.553734 + 3.14038i 0.0300304 + 0.170311i
\(341\) 22.9507 3.12583i 1.24285 0.169273i
\(342\) −11.7282 + 19.0085i −0.634187 + 1.02786i
\(343\) −6.11442 + 18.8183i −0.330148 + 1.01609i
\(344\) 1.34366 + 1.29756i 0.0724454 + 0.0699597i
\(345\) 26.3957 1.84576i 1.42109 0.0993726i
\(346\) −12.0155 15.3791i −0.645956 0.826785i
\(347\) 0.550664 15.7690i 0.0295612 0.846522i −0.890555 0.454876i \(-0.849684\pi\)
0.920116 0.391646i \(-0.128094\pi\)
\(348\) 4.37503 + 17.5473i 0.234526 + 0.940634i
\(349\) −0.860461 8.18674i −0.0460594 0.438226i −0.993114 0.117153i \(-0.962623\pi\)
0.947054 0.321073i \(-0.104043\pi\)
\(350\) −22.9473 + 4.87759i −1.22658 + 0.260718i
\(351\) 2.09836 11.9004i 0.112002 0.635197i
\(352\) 3.19201 0.900591i 0.170135 0.0480017i
\(353\) 12.2974 + 21.2997i 0.654523 + 1.13367i 0.982013 + 0.188812i \(0.0604637\pi\)
−0.327490 + 0.944854i \(0.606203\pi\)
\(354\) 10.3653 + 11.5119i 0.550912 + 0.611849i
\(355\) −13.7416 0.960905i −0.729327 0.0509995i
\(356\) −3.92497 5.81901i −0.208023 0.308407i
\(357\) 2.57969 + 3.30186i 0.136532 + 0.174753i
\(358\) 6.21907 + 3.88611i 0.328688 + 0.205387i
\(359\) −1.50914 + 3.09420i −0.0796494 + 0.163306i −0.934902 0.354906i \(-0.884513\pi\)
0.855253 + 0.518211i \(0.173402\pi\)
\(360\) 17.2184 12.5099i 0.907489 0.659329i
\(361\) −18.7838 + 2.85791i −0.988623 + 0.150416i
\(362\) 9.36071 0.491988
\(363\) 31.0840 4.09872i 1.63149 0.215127i
\(364\) 2.92771 2.45664i 0.153454 0.128763i
\(365\) −2.31143 66.1906i −0.120986 3.46457i
\(366\) 4.86604 1.39531i 0.254352 0.0729342i
\(367\) −7.12946 28.5947i −0.372155 1.49263i −0.806147 0.591715i \(-0.798451\pi\)
0.433992 0.900917i \(-0.357105\pi\)
\(368\) −2.18621 0.464692i −0.113964 0.0242238i
\(369\) −13.0474 + 14.4907i −0.679223 + 0.754353i
\(370\) 27.2304 26.2961i 1.41564 1.36707i
\(371\) 8.11595 + 16.6402i 0.421359 + 0.863915i
\(372\) −19.4708 + 4.13864i −1.00951 + 0.214578i
\(373\) 14.4547 25.0363i 0.748437 1.29633i −0.200135 0.979768i \(-0.564138\pi\)
0.948572 0.316562i \(-0.102529\pi\)
\(374\) 0.626529 2.46802i 0.0323970 0.127618i
\(375\) 80.6750 + 29.3633i 4.16604 + 1.51631i
\(376\) 0.328730 + 9.41359i 0.0169530 + 0.485469i
\(377\) 3.06367 12.2877i 0.157787 0.632850i
\(378\) 5.08194 10.4195i 0.261387 0.535922i
\(379\) −4.69747 14.4573i −0.241293 0.742623i −0.996224 0.0868189i \(-0.972330\pi\)
0.754931 0.655804i \(-0.227670\pi\)
\(380\) 17.5916 + 4.28008i 0.902432 + 0.219563i
\(381\) −31.5201 22.9007i −1.61482 1.17324i
\(382\) 13.8505 + 13.3753i 0.708653 + 0.684338i
\(383\) −7.99235 19.7818i −0.408390 1.01080i −0.981524 0.191339i \(-0.938717\pi\)
0.573134 0.819462i \(-0.305727\pi\)
\(384\) −2.67839 + 0.974853i −0.136681 + 0.0497478i
\(385\) 25.7778 + 5.59417i 1.31376 + 0.285105i
\(386\) 1.01983 + 0.855742i 0.0519082 + 0.0435561i
\(387\) −6.40449 7.11290i −0.325558 0.361569i
\(388\) 4.63757 + 2.06478i 0.235437 + 0.104823i
\(389\) 16.7094 16.1361i 0.847199 0.818131i −0.137841 0.990454i \(-0.544016\pi\)
0.985040 + 0.172324i \(0.0551275\pi\)
\(390\) −23.3995 + 3.28858i −1.18488 + 0.166524i
\(391\) −1.14818 + 1.27518i −0.0580660 + 0.0644889i
\(392\) −3.04531 + 1.35586i −0.153811 + 0.0684812i
\(393\) 35.9346 + 2.51279i 1.81266 + 0.126754i
\(394\) 6.92492 8.86349i 0.348872 0.446536i
\(395\) 45.9702 16.7318i 2.31301 0.841867i
\(396\) −16.6382 + 3.46253i −0.836103 + 0.173998i
\(397\) 5.58851 + 31.6940i 0.280480 + 1.59068i 0.720999 + 0.692936i \(0.243683\pi\)
−0.440520 + 0.897743i \(0.645206\pi\)
\(398\) −2.54883 + 7.84448i −0.127761 + 0.393208i
\(399\) 23.0500 5.88632i 1.15394 0.294684i
\(400\) −9.91194 7.20145i −0.495597 0.360072i
\(401\) −17.4456 + 9.27599i −0.871192 + 0.463221i −0.843959 0.536408i \(-0.819781\pi\)
−0.0272330 + 0.999629i \(0.508670\pi\)
\(402\) 28.6504 + 17.9027i 1.42895 + 0.892907i
\(403\) 13.3993 + 3.84218i 0.667465 + 0.191393i
\(404\) −9.08529 + 2.60516i −0.452010 + 0.129612i
\(405\) −6.63649 + 4.14694i −0.329770 + 0.206063i
\(406\) 6.07455 10.5214i 0.301475 0.522170i
\(407\) −28.4482 + 10.2172i −1.41012 + 0.506448i
\(408\) −0.379989 + 2.15502i −0.0188123 + 0.106690i
\(409\) 16.9277 + 9.00060i 0.837020 + 0.445051i 0.831893 0.554936i \(-0.187257\pi\)
0.00512630 + 0.999987i \(0.498368\pi\)
\(410\) 14.4393 + 6.42877i 0.713104 + 0.317495i
\(411\) −37.5137 + 16.7022i −1.85041 + 0.823857i
\(412\) −1.40176 + 3.46947i −0.0690596 + 0.170928i
\(413\) 0.363187 10.4003i 0.0178712 0.511766i
\(414\) 11.0089 + 3.15676i 0.541060 + 0.155146i
\(415\) −13.3654 + 53.6056i −0.656081 + 2.63140i
\(416\) 1.97652 + 0.277782i 0.0969068 + 0.0136194i
\(417\) −22.6475 −1.10905
\(418\) −11.4048 8.88433i −0.557825 0.434547i
\(419\) −13.0316 −0.636636 −0.318318 0.947984i \(-0.603118\pi\)
−0.318318 + 0.947984i \(0.603118\pi\)
\(420\) −22.4483 3.15490i −1.09537 0.153944i
\(421\) 2.22113 8.90846i 0.108251 0.434172i −0.891574 0.452875i \(-0.850398\pi\)
0.999825 + 0.0187034i \(0.00595382\pi\)
\(422\) 2.64056 + 0.757169i 0.128541 + 0.0368584i
\(423\) 1.68444 48.2362i 0.0819005 2.34532i
\(424\) −3.62199 + 8.96474i −0.175899 + 0.435366i
\(425\) −8.59299 + 3.82585i −0.416821 + 0.185581i
\(426\) −8.63567 3.84485i −0.418400 0.186283i
\(427\) −3.00266 1.59655i −0.145309 0.0772622i
\(428\) −1.73805 + 9.85696i −0.0840117 + 0.476454i
\(429\) 18.1150 + 5.27805i 0.874602 + 0.254827i
\(430\) −3.87921 + 6.71899i −0.187072 + 0.324019i
\(431\) −3.64799 + 2.27952i −0.175718 + 0.109801i −0.614927 0.788584i \(-0.710814\pi\)
0.439209 + 0.898385i \(0.355259\pi\)
\(432\) 5.81974 1.66878i 0.280002 0.0802894i
\(433\) 25.1707 + 7.21758i 1.20963 + 0.346855i 0.819053 0.573718i \(-0.194499\pi\)
0.390573 + 0.920572i \(0.372277\pi\)
\(434\) 11.3406 + 7.08641i 0.544368 + 0.340159i
\(435\) −66.3222 + 35.2641i −3.17991 + 1.69079i
\(436\) 1.22080 + 0.886967i 0.0584659 + 0.0424780i
\(437\) 4.01307 + 8.87741i 0.191971 + 0.424664i
\(438\) 14.0447 43.2252i 0.671083 2.06538i
\(439\) 1.72002 + 9.75471i 0.0820920 + 0.465567i 0.997946 + 0.0640560i \(0.0204036\pi\)
−0.915854 + 0.401511i \(0.868485\pi\)
\(440\) 6.83695 + 11.9594i 0.325939 + 0.570140i
\(441\) 16.0511 5.84211i 0.764337 0.278196i
\(442\) 0.943416 1.20752i 0.0448737 0.0574358i
\(443\) −1.93727 0.135467i −0.0920423 0.00643622i 0.0236611 0.999720i \(-0.492468\pi\)
−0.115703 + 0.993284i \(0.536912\pi\)
\(444\) 23.7312 10.5658i 1.12624 0.501432i
\(445\) 19.5076 21.6654i 0.924748 1.02704i
\(446\) −9.98311 + 1.40303i −0.472714 + 0.0664356i
\(447\) 36.6010 35.3451i 1.73117 1.67177i
\(448\) 1.74927 + 0.778823i 0.0826450 + 0.0367959i
\(449\) 3.77031 + 4.18736i 0.177932 + 0.197614i 0.825513 0.564383i \(-0.190886\pi\)
−0.647581 + 0.761997i \(0.724219\pi\)
\(450\) 48.0920 + 40.3539i 2.26708 + 1.90230i
\(451\) −8.40505 9.41513i −0.395778 0.443341i
\(452\) 3.51314 1.27868i 0.165244 0.0601439i
\(453\) 17.4995 + 43.3127i 0.822197 + 2.03501i
\(454\) 3.37866 + 3.26273i 0.158568 + 0.153128i
\(455\) 12.8425 + 9.33061i 0.602065 + 0.437426i
\(456\) 10.3393 + 6.88883i 0.484184 + 0.322599i
\(457\) 6.10522 + 18.7899i 0.285590 + 0.878956i 0.986221 + 0.165432i \(0.0529020\pi\)
−0.700631 + 0.713524i \(0.747098\pi\)
\(458\) −0.881160 + 1.80665i −0.0411739 + 0.0844190i
\(459\) 1.12448 4.51003i 0.0524861 0.210510i
\(460\) −0.323984 9.27768i −0.0151058 0.432574i
\(461\) 5.33645 + 1.94231i 0.248543 + 0.0904624i 0.463288 0.886208i \(-0.346670\pi\)
−0.214744 + 0.976670i \(0.568892\pi\)
\(462\) 15.3097 + 9.65755i 0.712274 + 0.449310i
\(463\) 15.3695 26.6208i 0.714283 1.23717i −0.248952 0.968516i \(-0.580086\pi\)
0.963235 0.268659i \(-0.0865805\pi\)
\(464\) 6.20616 1.31916i 0.288114 0.0612405i
\(465\) −36.2442 74.3116i −1.68078 3.44612i
\(466\) −9.21018 + 8.89417i −0.426654 + 0.412015i
\(467\) 0.636808 0.707247i 0.0294680 0.0327275i −0.728231 0.685332i \(-0.759657\pi\)
0.757699 + 0.652605i \(0.226324\pi\)
\(468\) −10.0039 2.12640i −0.462431 0.0982928i
\(469\) −5.49064 22.0217i −0.253534 1.01687i
\(470\) −37.6079 + 10.7839i −1.73472 + 0.497424i
\(471\) 0.936827 + 26.8272i 0.0431667 + 1.23613i
\(472\) 4.16331 3.49343i 0.191632 0.160798i
\(473\) 5.02746 3.62003i 0.231163 0.166449i
\(474\) 33.5707 1.54195
\(475\) 0.303415 + 53.4036i 0.0139217 + 2.45033i
\(476\) 1.18931 0.864087i 0.0545121 0.0396054i
\(477\) 21.7186 44.5297i 0.994425 2.03887i
\(478\) −2.99963 1.87438i −0.137200 0.0857319i
\(479\) −16.4000 20.9910i −0.749333 0.959103i 0.250626 0.968084i \(-0.419363\pi\)
−0.999960 + 0.00898109i \(0.997141\pi\)
\(480\) −6.62014 9.81475i −0.302166 0.447980i
\(481\) −18.1465 1.26892i −0.827407 0.0578580i
\(482\) −16.1067 17.8883i −0.733639 0.814788i
\(483\) −6.09916 10.5640i −0.277521 0.480681i
\(484\) −1.05653 10.9491i −0.0480241 0.497688i
\(485\) −3.66141 + 20.7649i −0.166256 + 0.942885i
\(486\) 12.5131 2.65974i 0.567606 0.120648i
\(487\) −3.15564 30.0239i −0.142996 1.36051i −0.796980 0.604006i \(-0.793570\pi\)
0.653984 0.756508i \(-0.273096\pi\)
\(488\) −0.429657 1.72326i −0.0194496 0.0780082i
\(489\) 1.54259 44.1741i 0.0697585 1.99762i
\(490\) −8.52434 10.9107i −0.385090 0.492893i
\(491\) −18.0460 + 1.26190i −0.814405 + 0.0569487i −0.470883 0.882196i \(-0.656065\pi\)
−0.343522 + 0.939145i \(0.611620\pi\)
\(492\) 7.80223 + 7.53453i 0.351752 + 0.339683i
\(493\) 1.50527 4.63274i 0.0677939 0.208648i
\(494\) −4.12804 7.65842i −0.185729 0.344569i
\(495\) −30.6731 63.5754i −1.37865 2.85750i
\(496\) 1.21272 + 6.87769i 0.0544528 + 0.308817i
\(497\) 2.37892 + 5.88803i 0.106709 + 0.264114i
\(498\) −21.2001 + 31.4304i −0.949999 + 1.40843i
\(499\) 16.6138 + 24.6310i 0.743738 + 1.10264i 0.991023 + 0.133694i \(0.0426839\pi\)
−0.247285 + 0.968943i \(0.579538\pi\)
\(500\) 11.2834 27.9275i 0.504610 1.24895i
\(501\) 34.9474 + 7.42829i 1.56133 + 0.331872i
\(502\) −2.10623 + 20.0395i −0.0940058 + 0.894405i
\(503\) 15.5845 + 31.9530i 0.694879 + 1.42471i 0.895508 + 0.445046i \(0.146813\pi\)
−0.200629 + 0.979667i \(0.564299\pi\)
\(504\) −8.66319 4.60630i −0.385889 0.205181i
\(505\) −19.6284 33.9974i −0.873452 1.51286i
\(506\) −2.80615 + 6.86114i −0.124749 + 0.305015i
\(507\) −19.6864 16.5188i −0.874302 0.733627i
\(508\) −8.41559 + 10.7715i −0.373381 + 0.477906i
\(509\) −8.83622 + 13.1002i −0.391658 + 0.580657i −0.972368 0.233453i \(-0.924997\pi\)
0.580710 + 0.814111i \(0.302775\pi\)
\(510\) −9.06691 + 0.634020i −0.401489 + 0.0280749i
\(511\) −26.9590 + 14.3344i −1.19260 + 0.634114i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −20.8876 16.1289i −0.922208 0.712107i
\(514\) −1.80612 + 1.31222i −0.0796646 + 0.0578797i
\(515\) −15.3910 2.16307i −0.678209 0.0953161i
\(516\) −4.07847 + 3.42224i −0.179545 + 0.150656i
\(517\) 30.9176 + 4.47962i 1.35975 + 0.197013i
\(518\) −16.3989 5.96871i −0.720526 0.262250i
\(519\) 47.1744 29.4779i 2.07073 1.29393i
\(520\) 0.866564 + 8.24480i 0.0380013 + 0.361559i
\(521\) 1.22826 11.6861i 0.0538112 0.511979i −0.934106 0.356996i \(-0.883801\pi\)
0.987917 0.154983i \(-0.0495323\pi\)
\(522\) −32.1950 + 4.52472i −1.40914 + 0.198041i
\(523\) 9.26092 1.30154i 0.404952 0.0569122i 0.0662429 0.997804i \(-0.478899\pi\)
0.338709 + 0.940891i \(0.390010\pi\)
\(524\) 1.32105 12.5690i 0.0577104 0.549077i
\(525\) −6.98954 66.5011i −0.305049 2.90234i
\(526\) 9.37656 5.85913i 0.408837 0.255470i
\(527\) 5.03837 + 1.83382i 0.219475 + 0.0798823i
\(528\) 1.60186 + 9.31660i 0.0697121 + 0.405453i
\(529\) −13.7923 + 11.5731i −0.599665 + 0.503179i
\(530\) −39.7688 5.58914i −1.72745 0.242777i
\(531\) −22.5299 + 16.3690i −0.977716 + 0.710353i
\(532\) −1.78168 8.15408i −0.0772457 0.353524i
\(533\) −2.34708 7.22357i −0.101663 0.312888i
\(534\) 17.6643 9.39230i 0.764411 0.406445i
\(535\) −41.4715 + 2.89997i −1.79297 + 0.125377i
\(536\) 6.62802 9.82644i 0.286287 0.424437i
\(537\) −12.8687 + 16.4712i −0.555325 + 0.710784i
\(538\) 13.4910 + 11.3203i 0.581637 + 0.488051i
\(539\) 2.62894 + 10.7389i 0.113237 + 0.462556i
\(540\) 12.5733 + 21.7776i 0.541069 + 0.937159i
\(541\) −21.1619 11.2520i −0.909821 0.483760i −0.0525453 0.998619i \(-0.516733\pi\)
−0.857275 + 0.514858i \(0.827845\pi\)
\(542\) 0.549938 + 1.12754i 0.0236219 + 0.0484320i
\(543\) −2.78889 + 26.5345i −0.119683 + 1.13870i
\(544\) 0.750961 + 0.159622i 0.0321972 + 0.00684373i
\(545\) −2.34791 + 5.81128i −0.100573 + 0.248928i
\(546\) 6.09148 + 9.03100i 0.260691 + 0.386491i
\(547\) −17.9487 + 26.6101i −0.767431 + 1.13776i 0.219340 + 0.975648i \(0.429609\pi\)
−0.986772 + 0.162115i \(0.948168\pi\)
\(548\) 5.39693 + 13.3579i 0.230546 + 0.570620i
\(549\) 1.58028 + 8.96221i 0.0674447 + 0.382498i
\(550\) −29.3502 + 28.1024i −1.25150 + 1.19829i
\(551\) −20.6575 18.3887i −0.880040 0.783384i
\(552\) 1.96860 6.05871i 0.0837890 0.257876i
\(553\) −16.2230 15.6664i −0.689874 0.666204i
\(554\) 6.06455 0.424075i 0.257658 0.0180172i
\(555\) 66.4278 + 85.0237i 2.81970 + 3.60906i
\(556\) −0.277301 + 7.94086i −0.0117602 + 0.336767i
\(557\) 4.58974 + 18.4084i 0.194474 + 0.779991i 0.985706 + 0.168475i \(0.0538843\pi\)
−0.791232 + 0.611516i \(0.790560\pi\)
\(558\) −3.74062 35.5896i −0.158353 1.50663i
\(559\) 3.64677 0.775145i 0.154242 0.0327852i
\(560\) −1.38106 + 7.83240i −0.0583606 + 0.330979i
\(561\) 6.80934 + 2.51131i 0.287490 + 0.106028i
\(562\) −9.87416 17.1026i −0.416516 0.721428i
\(563\) 10.6324 + 11.8084i 0.448100 + 0.497666i 0.924298 0.381673i \(-0.124652\pi\)
−0.476197 + 0.879338i \(0.657985\pi\)
\(564\) −26.7823 1.87280i −1.12774 0.0788593i
\(565\) 8.68337 + 12.8736i 0.365312 + 0.541598i
\(566\) −9.56743 12.2458i −0.402149 0.514727i
\(567\) 3.05947 + 1.91177i 0.128486 + 0.0802868i
\(568\) −1.45385 + 2.98084i −0.0610023 + 0.125073i
\(569\) −32.9393 + 23.9318i −1.38089 + 1.00327i −0.384092 + 0.923295i \(0.625485\pi\)
−0.996797 + 0.0799794i \(0.974515\pi\)
\(570\) −17.3738 + 48.5912i −0.727707 + 2.03526i
\(571\) −13.1157 −0.548875 −0.274438 0.961605i \(-0.588492\pi\)
−0.274438 + 0.961605i \(0.588492\pi\)
\(572\) 2.07244 6.28703i 0.0866531 0.262874i
\(573\) −42.0410 + 35.2766i −1.75629 + 1.47370i
\(574\) −0.254297 7.28213i −0.0106142 0.303950i
\(575\) 26.3226 7.54789i 1.09773 0.314769i
\(576\) −1.23963 4.97189i −0.0516513 0.207162i
\(577\) −24.7115 5.25260i −1.02875 0.218669i −0.337535 0.941313i \(-0.609593\pi\)
−0.691220 + 0.722645i \(0.742926\pi\)
\(578\) −10.9808 + 12.1954i −0.456742 + 0.507263i
\(579\) −2.72959 + 2.63593i −0.113438 + 0.109546i
\(580\) 11.5526 + 23.6863i 0.479694 + 0.983519i
\(581\) 24.9126 5.29533i 1.03355 0.219687i
\(582\) −7.23466 + 12.5308i −0.299886 + 0.519418i
\(583\) 27.1223 + 17.1091i 1.12329 + 0.708585i
\(584\) −14.9840 5.45375i −0.620044 0.225678i
\(585\) −1.48253 42.4540i −0.0612949 1.75526i
\(586\) −2.45551 + 9.84852i −0.101436 + 0.406838i
\(587\) −13.2649 + 27.1970i −0.547499 + 1.12254i 0.428252 + 0.903659i \(0.359129\pi\)
−0.975752 + 0.218881i \(0.929759\pi\)
\(588\) −2.93610 9.03639i −0.121083 0.372654i
\(589\) 21.0218 22.0177i 0.866187 0.907222i
\(590\) 18.2625 + 13.2685i 0.751856 + 0.546255i
\(591\) 23.0619 + 22.2706i 0.948638 + 0.916089i
\(592\) −3.41412 8.45023i −0.140319 0.347302i
\(593\) −29.9593 + 10.9043i −1.23028 + 0.447786i −0.873694 0.486476i \(-0.838282\pi\)
−0.356588 + 0.934262i \(0.616060\pi\)
\(594\) −2.01378 19.9785i −0.0826266 0.819729i
\(595\) 4.67746 + 3.92486i 0.191757 + 0.160903i
\(596\) −11.9449 13.2661i −0.489281 0.543402i
\(597\) −21.4771 9.56222i −0.878999 0.391355i
\(598\) −3.20899 + 3.09889i −0.131226 + 0.126723i
\(599\) −9.88313 + 1.38898i −0.403814 + 0.0567523i −0.338157 0.941090i \(-0.609803\pi\)
−0.0656574 + 0.997842i \(0.520914\pi\)
\(600\) 23.3668 25.9515i 0.953946 1.05946i
\(601\) −26.2886 + 11.7044i −1.07233 + 0.477433i −0.865482 0.500940i \(-0.832988\pi\)
−0.206850 + 0.978373i \(0.566321\pi\)
\(602\) 3.56798 + 0.249497i 0.145420 + 0.0101688i
\(603\) −37.3922 + 47.8599i −1.52273 + 1.94900i
\(604\) 15.4010 5.60549i 0.626656 0.228084i
\(605\) 43.0651 15.2600i 1.75085 0.620408i
\(606\) −4.67794 26.5299i −0.190028 1.07770i
\(607\) −5.93244 + 18.2582i −0.240790 + 0.741076i 0.755510 + 0.655137i \(0.227389\pi\)
−0.996300 + 0.0859392i \(0.972611\pi\)
\(608\) 2.54202 3.54092i 0.103093 0.143603i
\(609\) 28.0149 + 20.3540i 1.13522 + 0.824787i
\(610\) 6.51327 3.46317i 0.263714 0.140219i
\(611\) 15.9437 + 9.96272i 0.645013 + 0.403049i
\(612\) −3.78157 1.08435i −0.152861 0.0438322i
\(613\) 12.5996 3.61287i 0.508892 0.145922i −0.0113597 0.999935i \(-0.503616\pi\)
0.520251 + 0.854013i \(0.325838\pi\)
\(614\) 24.9125 15.5670i 1.00539 0.628234i
\(615\) −22.5254 + 39.0151i −0.908312 + 1.57324i
\(616\) 3.57367 5.24979i 0.143987 0.211520i
\(617\) 3.80273 21.5663i 0.153092 0.868228i −0.807417 0.589981i \(-0.799135\pi\)
0.960509 0.278247i \(-0.0897535\pi\)
\(618\) −9.41715 5.00719i −0.378813 0.201419i
\(619\) 2.09300 + 0.931865i 0.0841249 + 0.0374548i 0.448368 0.893849i \(-0.352006\pi\)
−0.364243 + 0.931304i \(0.618672\pi\)
\(620\) −26.4996 + 11.7984i −1.06425 + 0.473834i
\(621\) −5.06902 + 12.5463i −0.203413 + 0.503464i
\(622\) 0.163438 4.68025i 0.00655326 0.187661i
\(623\) −12.9194 3.70458i −0.517605 0.148421i
\(624\) −1.37629 + 5.52001i −0.0550958 + 0.220977i
\(625\) 63.2269 + 8.88596i 2.52908 + 0.355439i
\(626\) −8.22558 −0.328760
\(627\) 28.5820 29.6817i 1.14145 1.18537i
\(628\) 9.41787 0.375814
\(629\) −6.92897 0.973804i −0.276276 0.0388281i
\(630\) 9.85907 39.5426i 0.392795 1.57541i
\(631\) 5.99935 + 1.72029i 0.238830 + 0.0684835i 0.392917 0.919574i \(-0.371466\pi\)
−0.154087 + 0.988057i \(0.549244\pi\)
\(632\) 0.411047 11.7709i 0.0163506 0.468219i
\(633\) −2.93304 + 7.25952i −0.116578 + 0.288540i
\(634\) 15.3177 6.81986i 0.608342 0.270851i
\(635\) −51.8669 23.0926i −2.05828 0.916403i
\(636\) −24.3329 12.9381i −0.964864 0.513027i
\(637\) −1.15537 + 6.55240i −0.0457773 + 0.259616i
\(638\) −0.644773 21.0335i −0.0255268 0.832723i
\(639\) 8.49700 14.7172i 0.336136 0.582205i
\(640\) −3.52240 + 2.20104i −0.139235 + 0.0870036i
\(641\) 7.86269 2.25459i 0.310557 0.0890509i −0.116739 0.993163i \(-0.537244\pi\)
0.427296 + 0.904112i \(0.359466\pi\)
\(642\) −27.4234 7.86352i −1.08231 0.310349i
\(643\) 2.13870 + 1.33641i 0.0843420 + 0.0527028i 0.571435 0.820648i \(-0.306387\pi\)
−0.487093 + 0.873350i \(0.661943\pi\)
\(644\) −3.77874 + 2.00919i −0.148903 + 0.0791733i
\(645\) −17.8903 12.9981i −0.704432 0.511800i
\(646\) −1.37849 3.04939i −0.0542359 0.119977i
\(647\) −3.46536 + 10.6653i −0.136237 + 0.419296i −0.995780 0.0917677i \(-0.970748\pi\)
0.859543 + 0.511063i \(0.170748\pi\)
\(648\) 0.327168 + 1.85546i 0.0128524 + 0.0728894i
\(649\) −8.94602 15.6486i −0.351162 0.614261i
\(650\) −22.9792 + 8.36375i −0.901319 + 0.328053i
\(651\) −23.4664 + 30.0356i −0.919720 + 1.17719i
\(652\) −15.4698 1.08176i −0.605845 0.0423648i
\(653\) 5.35326 2.38343i 0.209489 0.0932706i −0.299310 0.954156i \(-0.596756\pi\)
0.508799 + 0.860885i \(0.330090\pi\)
\(654\) −2.87797 + 3.19632i −0.112538 + 0.124986i
\(655\) 51.9823 7.30563i 2.03112 0.285455i
\(656\) 2.73736 2.64343i 0.106876 0.103209i
\(657\) 74.6433 + 33.2333i 2.91211 + 1.29656i
\(658\) 12.0686 + 13.4035i 0.470483 + 0.522524i
\(659\) 25.1970 + 21.1428i 0.981536 + 0.823607i 0.984320 0.176390i \(-0.0564418\pi\)
−0.00278434 + 0.999996i \(0.500886\pi\)
\(660\) −35.9378 + 15.8174i −1.39888 + 0.615690i
\(661\) 9.15401 3.33179i 0.356050 0.129592i −0.157801 0.987471i \(-0.550441\pi\)
0.513851 + 0.857879i \(0.328218\pi\)
\(662\) −7.59990 18.8104i −0.295379 0.731088i
\(663\) 3.14183 + 3.03403i 0.122019 + 0.117832i
\(664\) 10.7608 + 7.81821i 0.417602 + 0.303405i
\(665\) 31.0719 15.3739i 1.20492 0.596175i
\(666\) 14.4312 + 44.4147i 0.559198 + 1.72103i
\(667\) −6.21652 + 12.7458i −0.240705 + 0.493517i
\(668\) 3.03248 12.1626i 0.117330 0.470585i
\(669\) −1.00281 28.7168i −0.0387710 1.11026i
\(670\) 46.2621 + 16.8380i 1.78726 + 0.650510i
\(671\) −5.87772 + 0.385847i −0.226907 + 0.0148954i
\(672\) −2.72887 + 4.72655i −0.105269 + 0.182330i
\(673\) −2.17832 + 0.463016i −0.0839681 + 0.0178480i −0.249704 0.968322i \(-0.580333\pi\)
0.165736 + 0.986170i \(0.447000\pi\)
\(674\) −3.19659 6.55398i −0.123128 0.252450i
\(675\) −53.3577 + 51.5270i −2.05374 + 1.98327i
\(676\) −6.03302 + 6.70035i −0.232039 + 0.257706i
\(677\) 5.43909 + 1.15611i 0.209041 + 0.0444330i 0.311242 0.950331i \(-0.399255\pi\)
−0.102201 + 0.994764i \(0.532588\pi\)
\(678\) 2.57793 + 10.3395i 0.0990050 + 0.397087i
\(679\) 9.34389 2.67932i 0.358586 0.102823i
\(680\) 0.111288 + 3.18688i 0.00426772 + 0.122211i
\(681\) −10.2554 + 8.60528i −0.392987 + 0.329755i
\(682\) 23.1624 + 0.0987092i 0.886934 + 0.00377977i
\(683\) 3.53392 0.135222 0.0676109 0.997712i \(-0.478462\pi\)
0.0676109 + 0.997712i \(0.478462\pi\)
\(684\) −14.2595 + 17.1912i −0.545225 + 0.657323i
\(685\) −48.4113 + 35.1729i −1.84970 + 1.34389i
\(686\) −8.67392 + 17.7842i −0.331172 + 0.679002i
\(687\) −4.85871 3.03606i −0.185371 0.115833i
\(688\) 1.15000 + 1.47193i 0.0438433 + 0.0561169i
\(689\) 10.7915 + 15.9991i 0.411124 + 0.609516i
\(690\) 26.3957 + 1.84576i 1.00487 + 0.0702670i
\(691\) 7.32261 + 8.13258i 0.278565 + 0.309378i 0.866149 0.499785i \(-0.166588\pi\)
−0.587584 + 0.809163i \(0.699921\pi\)
\(692\) −9.75818 16.9017i −0.370950 0.642505i
\(693\) −20.1437 + 25.5575i −0.765197 + 0.970851i
\(694\) 2.73992 15.5389i 0.104006 0.589847i
\(695\) −32.2815 + 6.86165i −1.22451 + 0.260277i
\(696\) 1.89034 + 17.9854i 0.0716533 + 0.681736i
\(697\) −0.706782 2.83475i −0.0267713 0.107374i
\(698\) 0.287287 8.22682i 0.0108740 0.311390i
\(699\) −22.4680 28.7577i −0.849817 1.08772i
\(700\) −23.4028 + 1.63648i −0.884542 + 0.0618532i
\(701\) −15.3602 14.8331i −0.580145 0.560240i 0.345603 0.938381i \(-0.387674\pi\)
−0.925748 + 0.378141i \(0.876563\pi\)
\(702\) 3.73416 11.4926i 0.140937 0.433759i
\(703\) −20.8601 + 33.8090i −0.786752 + 1.27513i
\(704\) 3.28628 0.447584i 0.123857 0.0168690i
\(705\) −19.3640 109.819i −0.729291 4.13602i
\(706\) 9.21335 + 22.8038i 0.346749 + 0.858234i
\(707\) −10.1201 + 15.0036i −0.380605 + 0.564270i
\(708\) 8.66232 + 12.8424i 0.325550 + 0.482648i
\(709\) −13.8968 + 34.3957i −0.521905 + 1.29176i 0.404262 + 0.914643i \(0.367529\pi\)
−0.926166 + 0.377116i \(0.876916\pi\)
\(710\) −13.4741 2.86401i −0.505675 0.107484i
\(711\) −6.30848 + 60.0212i −0.236586 + 2.25097i
\(712\) −3.07693 6.30863i −0.115313 0.236426i
\(713\) −13.7820 7.32802i −0.516140 0.274437i
\(714\) 2.09506 + 3.62875i 0.0784056 + 0.135803i
\(715\) 27.4201 + 2.03486i 1.02546 + 0.0760996i
\(716\) 5.61770 + 4.71381i 0.209943 + 0.176163i
\(717\) 6.20692 7.94450i 0.231802 0.296693i
\(718\) −1.92508 + 2.85405i −0.0718435 + 0.106512i
\(719\) 32.7046 2.28693i 1.21967 0.0852879i 0.554633 0.832095i \(-0.312858\pi\)
0.665041 + 0.746807i \(0.268414\pi\)
\(720\) 18.7919 9.99181i 0.700332 0.372373i
\(721\) 2.21414 + 6.81442i 0.0824589 + 0.253782i
\(722\) −18.9988 + 0.215892i −0.707061 + 0.00803466i
\(723\) 55.5060 40.3275i 2.06429 1.49979i
\(724\) 9.26961 + 1.30276i 0.344502 + 0.0484167i
\(725\) −59.5489 + 49.9675i −2.21159 + 1.85575i
\(726\) 31.3519 + 0.267225i 1.16358 + 0.00991764i
\(727\) 1.04145 + 0.379056i 0.0386251 + 0.0140584i 0.361260 0.932465i \(-0.382347\pi\)
−0.322635 + 0.946523i \(0.604569\pi\)
\(728\) 3.24111 2.02527i 0.120124 0.0750616i
\(729\) 4.40221 + 41.8842i 0.163045 + 1.55127i
\(730\) 6.92302 65.8681i 0.256232 2.43789i
\(731\) 1.42011 0.199583i 0.0525247 0.00738186i
\(732\) 5.01287 0.704513i 0.185281 0.0260396i
\(733\) −3.30836 + 31.4769i −0.122197 + 1.16263i 0.745839 + 0.666126i \(0.232049\pi\)
−0.868036 + 0.496501i \(0.834618\pi\)
\(734\) −3.08046 29.3087i −0.113702 1.08180i
\(735\) 33.4678 20.9130i 1.23448 0.771387i
\(736\) −2.10026 0.764431i −0.0774165 0.0281773i
\(737\) −28.1616 27.4282i −1.03735 1.01033i
\(738\) −14.9372 + 12.5338i −0.549845 + 0.461375i
\(739\) 40.5964 + 5.70545i 1.49336 + 0.209878i 0.838097 0.545521i \(-0.183668\pi\)
0.655265 + 0.755399i \(0.272557\pi\)
\(740\) 30.6251 22.2505i 1.12580 0.817944i
\(741\) 22.9389 9.41989i 0.842683 0.346048i
\(742\) 5.72111 + 17.6078i 0.210028 + 0.646401i
\(743\) −22.9651 + 12.2108i −0.842508 + 0.447969i −0.833849 0.551993i \(-0.813867\pi\)
−0.00865927 + 0.999963i \(0.502756\pi\)
\(744\) −19.8573 + 1.38856i −0.728003 + 0.0509069i
\(745\) 41.4620 61.4699i 1.51905 2.25208i
\(746\) 17.7984 22.7809i 0.651647 0.834070i
\(747\) −52.2107 43.8100i −1.91029 1.60292i
\(748\) 0.963913 2.35680i 0.0352442 0.0861732i
\(749\) 9.58268 + 16.5977i 0.350144 + 0.606467i
\(750\) 75.8033 + 40.3053i 2.76794 + 1.47174i
\(751\) 15.1530 + 31.0683i 0.552941 + 1.13370i 0.973976 + 0.226652i \(0.0727781\pi\)
−0.421035 + 0.907044i \(0.638333\pi\)
\(752\) −0.984588 + 9.36773i −0.0359042 + 0.341606i
\(753\) −56.1777 11.9409i −2.04723 0.435152i
\(754\) 4.74398 11.7418i 0.172765 0.427609i
\(755\) 38.0663 + 56.4357i 1.38538 + 2.05390i
\(756\) 6.48260 9.61085i 0.235770 0.349543i
\(757\) 0.193128 + 0.478008i 0.00701935 + 0.0173735i 0.930653 0.365903i \(-0.119240\pi\)
−0.923633 + 0.383277i \(0.874796\pi\)
\(758\) −2.63968 14.9704i −0.0958776 0.543749i
\(759\) −18.6130 9.99868i −0.675609 0.362929i
\(760\) 16.8248 + 6.68671i 0.610298 + 0.242552i
\(761\) −11.2841 + 34.7289i −0.409049 + 1.25892i 0.508418 + 0.861110i \(0.330231\pi\)
−0.917467 + 0.397813i \(0.869769\pi\)
\(762\) −28.0262 27.0646i −1.01528 0.980446i
\(763\) 2.88240 0.201557i 0.104350 0.00729687i
\(764\) 11.8542 + 15.1727i 0.428871 + 0.548929i
\(765\) 0.570253 16.3299i 0.0206175 0.590409i
\(766\) −5.16148 20.7016i −0.186492 0.747978i
\(767\) −1.13388 10.7882i −0.0409421 0.389538i
\(768\) −2.78799 + 0.592607i −0.100603 + 0.0213838i
\(769\) −3.41170 + 19.3487i −0.123029 + 0.697733i 0.859430 + 0.511254i \(0.170819\pi\)
−0.982459 + 0.186479i \(0.940292\pi\)
\(770\) 24.7484 + 9.12731i 0.891871 + 0.328925i
\(771\) −3.18161 5.51071i −0.114583 0.198463i
\(772\) 0.890813