Properties

Label 280.2.ba.b.19.15
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.15
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.516996 + 1.31633i) q^{2} +(1.13535 + 1.96648i) q^{3} +(-1.46543 - 1.36107i) q^{4} +(-0.406539 + 2.19880i) q^{5} +(-3.17551 + 0.477826i) q^{6} +(-0.551936 + 2.58754i) q^{7} +(2.54924 - 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +O(q^{10})\) \(q+(-0.516996 + 1.31633i) q^{2} +(1.13535 + 1.96648i) q^{3} +(-1.46543 - 1.36107i) q^{4} +(-0.406539 + 2.19880i) q^{5} +(-3.17551 + 0.477826i) q^{6} +(-0.551936 + 2.58754i) q^{7} +(2.54924 - 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +(-2.68416 - 1.67191i) q^{10} +(-0.454564 - 0.787328i) q^{11} +(1.01275 - 4.42704i) q^{12} -5.66349i q^{13} +(-3.12070 - 2.06428i) q^{14} +(-4.78547 + 1.69696i) q^{15} +(0.294968 + 3.98911i) q^{16} +(3.14931 + 5.45476i) q^{17} +(-1.90053 - 2.38440i) q^{18} +(-0.966292 - 0.557889i) q^{19} +(3.58848 - 2.66886i) q^{20} +(-5.71500 + 1.85239i) q^{21} +(1.27139 - 0.191309i) q^{22} +(-1.14508 + 1.98334i) q^{23} +(5.30384 + 3.62187i) q^{24} +(-4.66945 - 1.78780i) q^{25} +(7.45501 + 2.92801i) q^{26} +1.91628 q^{27} +(4.33065 - 3.04063i) q^{28} -6.21463i q^{29} +(0.240322 - 7.17656i) q^{30} +(1.41914 + 2.45801i) q^{31} +(-5.40347 - 1.67408i) q^{32} +(1.03218 - 1.78779i) q^{33} +(-8.80842 + 1.32542i) q^{34} +(-5.46510 - 2.26553i) q^{35} +(4.12122 - 1.26899i) q^{36} +(0.789609 - 1.36764i) q^{37} +(1.23393 - 0.983529i) q^{38} +(11.1372 - 6.43005i) q^{39} +(1.65786 + 6.10340i) q^{40} +0.163067i q^{41} +(0.516282 - 8.48048i) q^{42} +8.29346i q^{43} +(-0.405478 + 1.77247i) q^{44} +(-3.66738 - 3.12950i) q^{45} +(-2.01872 - 2.53268i) q^{46} +(8.56191 + 4.94322i) q^{47} +(-7.50963 + 5.10909i) q^{48} +(-6.39073 - 2.85631i) q^{49} +(4.76741 - 5.22224i) q^{50} +(-7.15113 + 12.3861i) q^{51} +(-7.70842 + 8.29945i) q^{52} +(2.56505 + 4.44280i) q^{53} +(-0.990712 + 2.52246i) q^{54} +(1.91598 - 0.679417i) q^{55} +(1.76354 + 7.27255i) q^{56} -2.53360i q^{57} +(8.18048 + 3.21294i) q^{58} +(9.97768 - 5.76061i) q^{59} +(9.32245 + 4.02660i) q^{60} +(-0.977217 + 1.69259i) q^{61} +(-3.96924 + 0.597261i) q^{62} +(-4.23650 - 3.82006i) q^{63} +(4.99721 - 6.24723i) q^{64} +(12.4529 + 2.30243i) q^{65} +(1.81968 + 2.28296i) q^{66} +(-6.09472 + 3.51879i) q^{67} +(2.80923 - 12.2800i) q^{68} -5.20028 q^{69} +(5.80762 - 6.02259i) q^{70} +0.811490i q^{71} +(-0.460247 + 6.08093i) q^{72} +(-4.54031 - 7.86404i) q^{73} +(1.39204 + 1.74645i) q^{74} +(-1.78579 - 11.2122i) q^{75} +(0.656706 + 2.13274i) q^{76} +(2.28813 - 0.741649i) q^{77} +(2.70617 + 17.9845i) q^{78} +(9.82237 + 5.67095i) q^{79} +(-8.89117 - 0.973152i) q^{80} +(5.40978 + 9.37001i) q^{81} +(-0.214649 - 0.0843050i) q^{82} +7.80839 q^{83} +(10.8962 + 5.06397i) q^{84} +(-13.2742 + 4.70713i) q^{85} +(-10.9169 - 4.28769i) q^{86} +(12.2210 - 7.05578i) q^{87} +(-2.12352 - 1.45010i) q^{88} +(12.4104 + 7.16517i) q^{89} +(6.01546 - 3.20954i) q^{90} +(14.6545 + 3.12589i) q^{91} +(4.37750 - 1.34791i) q^{92} +(-3.22243 + 5.58142i) q^{93} +(-10.9334 + 8.71464i) q^{94} +(1.61952 - 1.89788i) q^{95} +(-2.84277 - 12.5265i) q^{96} -9.99774 q^{97} +(7.06383 - 6.93559i) q^{98} +1.96016 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.516996 + 1.31633i −0.365572 + 0.930783i
\(3\) 1.13535 + 1.96648i 0.655495 + 1.13535i 0.981769 + 0.190075i \(0.0608732\pi\)
−0.326275 + 0.945275i \(0.605793\pi\)
\(4\) −1.46543 1.36107i −0.732715 0.680536i
\(5\) −0.406539 + 2.19880i −0.181810 + 0.983334i
\(6\) −3.17551 + 0.477826i −1.29640 + 0.195072i
\(7\) −0.551936 + 2.58754i −0.208612 + 0.977998i
\(8\) 2.54924 1.22531i 0.901291 0.433214i
\(9\) −1.07804 + 1.86722i −0.359347 + 0.622407i
\(10\) −2.68416 1.67191i −0.848806 0.528704i
\(11\) −0.454564 0.787328i −0.137056 0.237388i 0.789325 0.613976i \(-0.210431\pi\)
−0.926381 + 0.376587i \(0.877097\pi\)
\(12\) 1.01275 4.42704i 0.292356 1.27798i
\(13\) 5.66349i 1.57077i −0.619007 0.785385i \(-0.712465\pi\)
0.619007 0.785385i \(-0.287535\pi\)
\(14\) −3.12070 2.06428i −0.834042 0.551701i
\(15\) −4.78547 + 1.69696i −1.23560 + 0.438153i
\(16\) 0.294968 + 3.98911i 0.0737419 + 0.997277i
\(17\) 3.14931 + 5.45476i 0.763819 + 1.32297i 0.940869 + 0.338771i \(0.110011\pi\)
−0.177050 + 0.984202i \(0.556655\pi\)
\(18\) −1.90053 2.38440i −0.447959 0.562009i
\(19\) −0.966292 0.557889i −0.221683 0.127989i 0.385047 0.922897i \(-0.374185\pi\)
−0.606729 + 0.794909i \(0.707519\pi\)
\(20\) 3.58848 2.66886i 0.802408 0.596775i
\(21\) −5.71500 + 1.85239i −1.24712 + 0.404225i
\(22\) 1.27139 0.191309i 0.271061 0.0407872i
\(23\) −1.14508 + 1.98334i −0.238766 + 0.413555i −0.960360 0.278761i \(-0.910076\pi\)
0.721594 + 0.692316i \(0.243410\pi\)
\(24\) 5.30384 + 3.62187i 1.08264 + 0.739312i
\(25\) −4.66945 1.78780i −0.933891 0.357559i
\(26\) 7.45501 + 2.92801i 1.46205 + 0.574229i
\(27\) 1.91628 0.368789
\(28\) 4.33065 3.04063i 0.818416 0.574626i
\(29\) 6.21463i 1.15403i −0.816734 0.577014i \(-0.804218\pi\)
0.816734 0.577014i \(-0.195782\pi\)
\(30\) 0.240322 7.17656i 0.0438766 1.31026i
\(31\) 1.41914 + 2.45801i 0.254884 + 0.441472i 0.964864 0.262750i \(-0.0846293\pi\)
−0.709980 + 0.704222i \(0.751296\pi\)
\(32\) −5.40347 1.67408i −0.955207 0.295939i
\(33\) 1.03218 1.78779i 0.179679 0.311214i
\(34\) −8.80842 + 1.32542i −1.51063 + 0.227308i
\(35\) −5.46510 2.26553i −0.923771 0.382945i
\(36\) 4.12122 1.26899i 0.686869 0.211499i
\(37\) 0.789609 1.36764i 0.129811 0.224839i −0.793792 0.608189i \(-0.791896\pi\)
0.923603 + 0.383350i \(0.125230\pi\)
\(38\) 1.23393 0.983529i 0.200170 0.159549i
\(39\) 11.1372 6.43005i 1.78337 1.02963i
\(40\) 1.65786 + 6.10340i 0.262131 + 0.965032i
\(41\) 0.163067i 0.0254668i 0.999919 + 0.0127334i \(0.00405327\pi\)
−0.999919 + 0.0127334i \(0.995947\pi\)
\(42\) 0.516282 8.48048i 0.0796640 1.30857i
\(43\) 8.29346i 1.26474i 0.774666 + 0.632370i \(0.217918\pi\)
−0.774666 + 0.632370i \(0.782082\pi\)
\(44\) −0.405478 + 1.77247i −0.0611282 + 0.267210i
\(45\) −3.66738 3.12950i −0.546701 0.466518i
\(46\) −2.01872 2.53268i −0.297644 0.373423i
\(47\) 8.56191 + 4.94322i 1.24888 + 0.721043i 0.970887 0.239540i \(-0.0769965\pi\)
0.277996 + 0.960582i \(0.410330\pi\)
\(48\) −7.50963 + 5.10909i −1.08392 + 0.737433i
\(49\) −6.39073 2.85631i −0.912962 0.408045i
\(50\) 4.76741 5.22224i 0.674214 0.738536i
\(51\) −7.15113 + 12.3861i −1.00136 + 1.73440i
\(52\) −7.70842 + 8.29945i −1.06897 + 1.15093i
\(53\) 2.56505 + 4.44280i 0.352337 + 0.610266i 0.986659 0.162803i \(-0.0520537\pi\)
−0.634321 + 0.773070i \(0.718720\pi\)
\(54\) −0.990712 + 2.52246i −0.134819 + 0.343263i
\(55\) 1.91598 0.679417i 0.258350 0.0916125i
\(56\) 1.76354 + 7.27255i 0.235662 + 0.971835i
\(57\) 2.53360i 0.335583i
\(58\) 8.18048 + 3.21294i 1.07415 + 0.421880i
\(59\) 9.97768 5.76061i 1.29898 0.749968i 0.318754 0.947837i \(-0.396736\pi\)
0.980228 + 0.197869i \(0.0634022\pi\)
\(60\) 9.32245 + 4.02660i 1.20352 + 0.519832i
\(61\) −0.977217 + 1.69259i −0.125120 + 0.216714i −0.921780 0.387714i \(-0.873265\pi\)
0.796660 + 0.604428i \(0.206598\pi\)
\(62\) −3.96924 + 0.597261i −0.504094 + 0.0758522i
\(63\) −4.23650 3.82006i −0.533749 0.481283i
\(64\) 4.99721 6.24723i 0.624651 0.780904i
\(65\) 12.4529 + 2.30243i 1.54459 + 0.285581i
\(66\) 1.81968 + 2.28296i 0.223987 + 0.281013i
\(67\) −6.09472 + 3.51879i −0.744589 + 0.429889i −0.823735 0.566974i \(-0.808114\pi\)
0.0791464 + 0.996863i \(0.474781\pi\)
\(68\) 2.80923 12.2800i 0.340669 1.48917i
\(69\) −5.20028 −0.626040
\(70\) 5.80762 6.02259i 0.694143 0.719837i
\(71\) 0.811490i 0.0963061i 0.998840 + 0.0481531i \(0.0153335\pi\)
−0.998840 + 0.0481531i \(0.984666\pi\)
\(72\) −0.460247 + 6.08093i −0.0542407 + 0.716644i
\(73\) −4.54031 7.86404i −0.531403 0.920417i −0.999328 0.0366487i \(-0.988332\pi\)
0.467925 0.883768i \(-0.345002\pi\)
\(74\) 1.39204 + 1.74645i 0.161821 + 0.203021i
\(75\) −1.78579 11.2122i −0.206206 1.29467i
\(76\) 0.656706 + 2.13274i 0.0753294 + 0.244642i
\(77\) 2.28813 0.741649i 0.260757 0.0845187i
\(78\) 2.70617 + 17.9845i 0.306413 + 2.03634i
\(79\) 9.82237 + 5.67095i 1.10510 + 0.638031i 0.937557 0.347833i \(-0.113082\pi\)
0.167546 + 0.985864i \(0.446416\pi\)
\(80\) −8.89117 0.973152i −0.994063 0.108802i
\(81\) 5.40978 + 9.37001i 0.601086 + 1.04111i
\(82\) −0.214649 0.0843050i −0.0237041 0.00930993i
\(83\) 7.80839 0.857082 0.428541 0.903522i \(-0.359028\pi\)
0.428541 + 0.903522i \(0.359028\pi\)
\(84\) 10.8962 + 5.06397i 1.18887 + 0.552525i
\(85\) −13.2742 + 4.70713i −1.43979 + 0.510560i
\(86\) −10.9169 4.28769i −1.17720 0.462353i
\(87\) 12.2210 7.05578i 1.31023 0.756459i
\(88\) −2.12352 1.45010i −0.226368 0.154581i
\(89\) 12.4104 + 7.16517i 1.31550 + 0.759506i 0.983002 0.183597i \(-0.0587740\pi\)
0.332502 + 0.943103i \(0.392107\pi\)
\(90\) 6.01546 3.20954i 0.634085 0.338315i
\(91\) 14.6545 + 3.12589i 1.53621 + 0.327682i
\(92\) 4.37750 1.34791i 0.456386 0.140529i
\(93\) −3.22243 + 5.58142i −0.334151 + 0.578766i
\(94\) −10.9334 + 8.71464i −1.12769 + 0.898846i
\(95\) 1.61952 1.89788i 0.166159 0.194718i
\(96\) −2.84277 12.5265i −0.290139 1.27848i
\(97\) −9.99774 −1.01512 −0.507558 0.861618i \(-0.669452\pi\)
−0.507558 + 0.861618i \(0.669452\pi\)
\(98\) 7.06383 6.93559i 0.713554 0.700600i
\(99\) 1.96016 0.197003
\(100\) 4.40944 + 8.97535i 0.440944 + 0.897535i
\(101\) −8.69267 15.0562i −0.864953 1.49814i −0.867093 0.498146i \(-0.834015\pi\)
0.00214005 0.999998i \(-0.499319\pi\)
\(102\) −12.6071 15.8168i −1.24829 1.56610i
\(103\) −1.56602 0.904144i −0.154305 0.0890880i 0.420859 0.907126i \(-0.361729\pi\)
−0.575164 + 0.818038i \(0.695062\pi\)
\(104\) −6.93956 14.4376i −0.680480 1.41572i
\(105\) −1.74967 13.3192i −0.170751 1.29982i
\(106\) −7.17430 + 1.07953i −0.696830 + 0.104854i
\(107\) −3.08558 1.78146i −0.298294 0.172220i 0.343382 0.939196i \(-0.388427\pi\)
−0.641676 + 0.766976i \(0.721761\pi\)
\(108\) −2.80818 2.60820i −0.270217 0.250974i
\(109\) −1.72947 + 0.998508i −0.165653 + 0.0956398i −0.580534 0.814236i \(-0.697156\pi\)
0.414882 + 0.909875i \(0.363823\pi\)
\(110\) −0.0962185 + 2.87331i −0.00917407 + 0.273959i
\(111\) 3.58593 0.340361
\(112\) −10.4848 1.43849i −0.990719 0.135925i
\(113\) 13.5251i 1.27234i −0.771551 0.636168i \(-0.780519\pi\)
0.771551 0.636168i \(-0.219481\pi\)
\(114\) 3.33504 + 1.30986i 0.312355 + 0.122680i
\(115\) −3.89545 3.32411i −0.363253 0.309975i
\(116\) −8.45855 + 9.10710i −0.785357 + 0.845573i
\(117\) 10.5750 + 6.10548i 0.977659 + 0.564452i
\(118\) 2.42443 + 16.1121i 0.223186 + 1.48324i
\(119\) −15.8526 + 5.13828i −1.45321 + 0.471025i
\(120\) −10.1200 + 10.1897i −0.923825 + 0.930184i
\(121\) 5.08674 8.81050i 0.462431 0.800954i
\(122\) −1.72278 2.16140i −0.155973 0.195684i
\(123\) −0.320669 + 0.185138i −0.0289137 + 0.0166933i
\(124\) 1.26589 5.53359i 0.113680 0.496931i
\(125\) 5.82932 9.54039i 0.521390 0.853318i
\(126\) 7.21870 3.60166i 0.643093 0.320862i
\(127\) −1.34956 −0.119754 −0.0598772 0.998206i \(-0.519071\pi\)
−0.0598772 + 0.998206i \(0.519071\pi\)
\(128\) 5.63986 + 9.80775i 0.498498 + 0.866891i
\(129\) −16.3090 + 9.41598i −1.43592 + 0.829031i
\(130\) −9.46885 + 15.2017i −0.830473 + 1.33328i
\(131\) −7.08950 4.09312i −0.619412 0.357618i 0.157228 0.987562i \(-0.449744\pi\)
−0.776640 + 0.629944i \(0.783078\pi\)
\(132\) −3.94589 + 1.21501i −0.343446 + 0.105753i
\(133\) 1.97689 2.19240i 0.171418 0.190105i
\(134\) −1.48093 9.84185i −0.127933 0.850206i
\(135\) −0.779044 + 4.21353i −0.0670494 + 0.362643i
\(136\) 14.7121 + 10.0466i 1.26155 + 0.861487i
\(137\) −4.43159 + 2.55858i −0.378616 + 0.218594i −0.677216 0.735784i \(-0.736814\pi\)
0.298600 + 0.954378i \(0.403480\pi\)
\(138\) 2.68852 6.84526i 0.228862 0.582707i
\(139\) 17.9166i 1.51967i −0.650117 0.759834i \(-0.725280\pi\)
0.650117 0.759834i \(-0.274720\pi\)
\(140\) 4.92517 + 10.7584i 0.416253 + 0.909249i
\(141\) 22.4491i 1.89056i
\(142\) −1.06819 0.419537i −0.0896401 0.0352068i
\(143\) −4.45903 + 2.57442i −0.372883 + 0.215284i
\(144\) −7.76654 3.74965i −0.647212 0.312471i
\(145\) 13.6647 + 2.52649i 1.13479 + 0.209813i
\(146\) 12.6990 1.91084i 1.05097 0.158143i
\(147\) −1.63883 15.8102i −0.135168 1.30400i
\(148\) −3.01857 + 0.929469i −0.248125 + 0.0764019i
\(149\) 6.16993 + 3.56221i 0.505460 + 0.291827i 0.730965 0.682414i \(-0.239070\pi\)
−0.225505 + 0.974242i \(0.572403\pi\)
\(150\) 15.6821 + 3.44597i 1.28044 + 0.281362i
\(151\) −2.46560 + 1.42352i −0.200648 + 0.115844i −0.596958 0.802273i \(-0.703624\pi\)
0.396310 + 0.918117i \(0.370291\pi\)
\(152\) −3.14690 0.238179i −0.255247 0.0193189i
\(153\) −13.5803 −1.09790
\(154\) −0.206706 + 3.39536i −0.0166568 + 0.273606i
\(155\) −5.98162 + 2.12112i −0.480455 + 0.170372i
\(156\) −25.0725 5.73571i −2.00741 0.459224i
\(157\) 11.4030 6.58353i 0.910059 0.525423i 0.0296091 0.999562i \(-0.490574\pi\)
0.880450 + 0.474139i \(0.157240\pi\)
\(158\) −12.5429 + 9.99758i −0.997863 + 0.795365i
\(159\) −5.82447 + 10.0883i −0.461911 + 0.800053i
\(160\) 5.87769 11.2006i 0.464672 0.885483i
\(161\) −4.49996 4.05762i −0.354647 0.319785i
\(162\) −15.1308 + 2.27677i −1.18879 + 0.178880i
\(163\) −14.9075 8.60684i −1.16764 0.674139i −0.214520 0.976720i \(-0.568819\pi\)
−0.953124 + 0.302580i \(0.902152\pi\)
\(164\) 0.221946 0.238963i 0.0173311 0.0186599i
\(165\) 3.51137 + 2.99636i 0.273360 + 0.233266i
\(166\) −4.03691 + 10.2784i −0.313325 + 0.797757i
\(167\) 0.285811i 0.0221167i 0.999939 + 0.0110584i \(0.00352006\pi\)
−0.999939 + 0.0110584i \(0.996480\pi\)
\(168\) −12.2991 + 11.7249i −0.948898 + 0.904592i
\(169\) −19.0752 −1.46732
\(170\) 0.666620 19.9068i 0.0511274 1.52678i
\(171\) 2.08341 1.20285i 0.159322 0.0919846i
\(172\) 11.2880 12.1535i 0.860701 0.926694i
\(173\) −16.6842 9.63264i −1.26848 0.732356i −0.293778 0.955874i \(-0.594913\pi\)
−0.974700 + 0.223518i \(0.928246\pi\)
\(174\) 2.96951 + 19.7346i 0.225118 + 1.49608i
\(175\) 7.20323 11.0956i 0.544513 0.838752i
\(176\) 3.00666 2.04554i 0.226635 0.154189i
\(177\) 22.6563 + 13.0806i 1.70295 + 0.983200i
\(178\) −15.8478 + 12.6318i −1.18785 + 0.946794i
\(179\) 0.701703 + 1.21539i 0.0524478 + 0.0908422i 0.891057 0.453891i \(-0.149964\pi\)
−0.838610 + 0.544733i \(0.816631\pi\)
\(180\) 1.11482 + 9.57763i 0.0830941 + 0.713874i
\(181\) 15.3818 1.14332 0.571660 0.820491i \(-0.306300\pi\)
0.571660 + 0.820491i \(0.306300\pi\)
\(182\) −11.6910 + 17.6741i −0.866596 + 1.31009i
\(183\) −4.43794 −0.328062
\(184\) −0.488869 + 6.45909i −0.0360399 + 0.476170i
\(185\) 2.68617 + 2.29219i 0.197491 + 0.168525i
\(186\) −5.68098 7.12734i −0.416550 0.522602i
\(187\) 2.86312 4.95908i 0.209372 0.362644i
\(188\) −5.81880 18.8973i −0.424379 1.37823i
\(189\) −1.05767 + 4.95847i −0.0769339 + 0.360675i
\(190\) 1.66094 + 3.11302i 0.120497 + 0.225842i
\(191\) −19.4587 11.2345i −1.40798 0.812898i −0.412787 0.910828i \(-0.635444\pi\)
−0.995193 + 0.0979302i \(0.968778\pi\)
\(192\) 17.9587 + 2.73414i 1.29606 + 0.197319i
\(193\) 14.3435 8.28125i 1.03247 0.596097i 0.114779 0.993391i \(-0.463384\pi\)
0.917691 + 0.397294i \(0.130051\pi\)
\(194\) 5.16879 13.1603i 0.371098 0.944853i
\(195\) 9.61071 + 27.1025i 0.688237 + 1.94085i
\(196\) 5.47752 + 12.8840i 0.391252 + 0.920284i
\(197\) 16.1344 1.14953 0.574765 0.818318i \(-0.305093\pi\)
0.574765 + 0.818318i \(0.305093\pi\)
\(198\) −1.01339 + 2.58020i −0.0720187 + 0.183367i
\(199\) −10.9134 18.9025i −0.773629 1.33996i −0.935562 0.353163i \(-0.885106\pi\)
0.161933 0.986802i \(-0.448227\pi\)
\(200\) −14.0941 + 1.16403i −0.996607 + 0.0823097i
\(201\) −13.8393 7.99012i −0.976149 0.563580i
\(202\) 24.3129 3.65842i 1.71065 0.257405i
\(203\) 16.0806 + 3.43008i 1.12864 + 0.240744i
\(204\) 27.3379 8.41779i 1.91403 0.589363i
\(205\) −0.358552 0.0662930i −0.0250423 0.00463011i
\(206\) 1.99978 1.59396i 0.139331 0.111056i
\(207\) −2.46889 4.27624i −0.171600 0.297219i
\(208\) 22.5923 1.67055i 1.56649 0.115832i
\(209\) 1.01439i 0.0701665i
\(210\) 18.4370 + 4.58285i 1.27227 + 0.316246i
\(211\) −9.76612 −0.672328 −0.336164 0.941804i \(-0.609130\pi\)
−0.336164 + 0.941804i \(0.609130\pi\)
\(212\) 2.28807 10.0018i 0.157145 0.686929i
\(213\) −1.59578 + 0.921325i −0.109341 + 0.0631282i
\(214\) 3.94022 3.14062i 0.269348 0.214688i
\(215\) −18.2357 3.37161i −1.24366 0.229942i
\(216\) 4.88506 2.34805i 0.332386 0.159765i
\(217\) −7.14348 + 2.31540i −0.484931 + 0.157180i
\(218\) −0.420235 2.79277i −0.0284619 0.189150i
\(219\) 10.3097 17.8569i 0.696664 1.20666i
\(220\) −3.73246 1.61214i −0.251643 0.108691i
\(221\) 30.8930 17.8361i 2.07809 1.19978i
\(222\) −1.85391 + 4.72025i −0.124426 + 0.316803i
\(223\) 17.6951i 1.18495i 0.805589 + 0.592474i \(0.201849\pi\)
−0.805589 + 0.592474i \(0.798151\pi\)
\(224\) 7.31412 13.0577i 0.488695 0.872455i
\(225\) 8.37207 6.79159i 0.558138 0.452772i
\(226\) 17.8035 + 6.99243i 1.18427 + 0.465130i
\(227\) 8.76537 + 15.1821i 0.581778 + 1.00767i 0.995269 + 0.0971611i \(0.0309762\pi\)
−0.413490 + 0.910509i \(0.635690\pi\)
\(228\) −3.44841 + 3.71281i −0.228376 + 0.245887i
\(229\) −3.45967 + 5.99232i −0.228621 + 0.395984i −0.957400 0.288766i \(-0.906755\pi\)
0.728778 + 0.684750i \(0.240088\pi\)
\(230\) 6.38955 3.40913i 0.421314 0.224791i
\(231\) 4.05627 + 3.65755i 0.266883 + 0.240649i
\(232\) −7.61487 15.8426i −0.499941 1.04011i
\(233\) −3.78953 2.18788i −0.248260 0.143333i 0.370707 0.928750i \(-0.379115\pi\)
−0.618967 + 0.785417i \(0.712449\pi\)
\(234\) −13.5040 + 10.7636i −0.882787 + 0.703641i
\(235\) −14.3499 + 16.8163i −0.936084 + 1.09698i
\(236\) −22.4622 5.13856i −1.46216 0.334492i
\(237\) 25.7540i 1.67291i
\(238\) 1.43209 23.5237i 0.0928289 1.52481i
\(239\) 14.1535i 0.915511i 0.889078 + 0.457756i \(0.151347\pi\)
−0.889078 + 0.457756i \(0.848653\pi\)
\(240\) −8.18091 18.5892i −0.528075 1.19993i
\(241\) 13.4126 7.74379i 0.863984 0.498821i −0.00136057 0.999999i \(-0.500433\pi\)
0.865344 + 0.501178i \(0.167100\pi\)
\(242\) 8.96766 + 11.2508i 0.576463 + 0.723229i
\(243\) −9.40956 + 16.2978i −0.603624 + 1.04551i
\(244\) 3.73578 1.15031i 0.239159 0.0736410i
\(245\) 8.87855 12.8907i 0.567229 0.823560i
\(246\) −0.0779177 0.517820i −0.00496785 0.0330150i
\(247\) −3.15960 + 5.47259i −0.201041 + 0.348213i
\(248\) 6.62955 + 4.52717i 0.420977 + 0.287476i
\(249\) 8.86526 + 15.3551i 0.561813 + 0.973088i
\(250\) 9.54453 + 12.6056i 0.603649 + 0.797250i
\(251\) 6.13020i 0.386935i 0.981107 + 0.193467i \(0.0619734\pi\)
−0.981107 + 0.193467i \(0.938027\pi\)
\(252\) 1.00892 + 11.3642i 0.0635559 + 0.715878i
\(253\) 2.08205 0.130898
\(254\) 0.697720 1.77647i 0.0437788 0.111465i
\(255\) −24.3274 20.7594i −1.52344 1.30000i
\(256\) −15.8260 + 2.35332i −0.989124 + 0.147082i
\(257\) 3.21050 5.56075i 0.200266 0.346870i −0.748348 0.663306i \(-0.769153\pi\)
0.948614 + 0.316436i \(0.102486\pi\)
\(258\) −3.96283 26.3359i −0.246715 1.63960i
\(259\) 3.10302 + 2.79800i 0.192812 + 0.173859i
\(260\) −15.1151 20.3233i −0.937397 1.26040i
\(261\) 11.6041 + 6.69962i 0.718275 + 0.414696i
\(262\) 9.05313 7.21596i 0.559304 0.445804i
\(263\) 3.23009 + 5.59468i 0.199176 + 0.344983i 0.948261 0.317491i \(-0.102840\pi\)
−0.749086 + 0.662473i \(0.769507\pi\)
\(264\) 0.440668 5.82224i 0.0271212 0.358334i
\(265\) −10.8116 + 3.83387i −0.664154 + 0.235513i
\(266\) 1.86387 + 3.73570i 0.114281 + 0.229050i
\(267\) 32.5399i 1.99141i
\(268\) 13.7207 + 3.13882i 0.838126 + 0.191734i
\(269\) 0.755340 + 1.30829i 0.0460539 + 0.0797677i 0.888133 0.459586i \(-0.152002\pi\)
−0.842080 + 0.539353i \(0.818669\pi\)
\(270\) −5.14362 3.20386i −0.313031 0.194980i
\(271\) 8.66274 15.0043i 0.526224 0.911447i −0.473309 0.880896i \(-0.656941\pi\)
0.999533 0.0305504i \(-0.00972602\pi\)
\(272\) −20.8307 + 14.1719i −1.26305 + 0.859298i
\(273\) 10.4910 + 32.3669i 0.634945 + 1.95893i
\(274\) −1.07681 7.15619i −0.0650524 0.432321i
\(275\) 0.714984 + 4.48906i 0.0431152 + 0.270701i
\(276\) 7.62064 + 7.07795i 0.458709 + 0.426042i
\(277\) −5.77685 10.0058i −0.347097 0.601190i 0.638635 0.769510i \(-0.279499\pi\)
−0.985733 + 0.168319i \(0.946166\pi\)
\(278\) 23.5841 + 9.26282i 1.41448 + 0.555547i
\(279\) −6.11954 −0.366368
\(280\) −16.7078 + 0.921093i −0.998484 + 0.0550458i
\(281\) 16.6526 0.993408 0.496704 0.867920i \(-0.334543\pi\)
0.496704 + 0.867920i \(0.334543\pi\)
\(282\) −29.5504 11.6061i −1.75970 0.691135i
\(283\) −11.3769 19.7053i −0.676285 1.17136i −0.976091 0.217360i \(-0.930255\pi\)
0.299806 0.954000i \(-0.403078\pi\)
\(284\) 1.10450 1.18918i 0.0655398 0.0705649i
\(285\) 5.57088 + 1.03001i 0.329990 + 0.0610123i
\(286\) −1.08348 7.20050i −0.0640673 0.425775i
\(287\) −0.421942 0.0900025i −0.0249065 0.00531268i
\(288\) 8.95104 8.28474i 0.527445 0.488183i
\(289\) −11.3363 + 19.6350i −0.666839 + 1.15500i
\(290\) −10.3903 + 16.6811i −0.610139 + 0.979546i
\(291\) −11.3509 19.6604i −0.665404 1.15251i
\(292\) −4.05003 + 17.7039i −0.237010 + 1.03604i
\(293\) 8.66311i 0.506104i 0.967453 + 0.253052i \(0.0814344\pi\)
−0.967453 + 0.253052i \(0.918566\pi\)
\(294\) 21.6586 + 6.01658i 1.26316 + 0.350894i
\(295\) 8.61013 + 24.2808i 0.501301 + 1.41368i
\(296\) 0.337107 4.45396i 0.0195940 0.258881i
\(297\) −0.871075 1.50875i −0.0505449 0.0875463i
\(298\) −7.87886 + 6.27999i −0.456410 + 0.363790i
\(299\) 11.2326 + 6.48516i 0.649600 + 0.375047i
\(300\) −12.6436 + 18.8613i −0.729980 + 1.08895i
\(301\) −21.4597 4.57746i −1.23691 0.263840i
\(302\) −0.599105 3.98149i −0.0344746 0.229109i
\(303\) 19.7385 34.1880i 1.13395 1.96405i
\(304\) 1.94046 4.01920i 0.111293 0.230517i
\(305\) −3.32439 2.83681i −0.190354 0.162435i
\(306\) 7.02098 17.8761i 0.401363 1.02191i
\(307\) 11.6862 0.666967 0.333484 0.942756i \(-0.391776\pi\)
0.333484 + 0.942756i \(0.391776\pi\)
\(308\) −4.36254 2.02748i −0.248579 0.115526i
\(309\) 4.10608i 0.233587i
\(310\) 0.300391 8.97037i 0.0170611 0.509483i
\(311\) 5.66670 + 9.81500i 0.321329 + 0.556558i 0.980762 0.195205i \(-0.0625372\pi\)
−0.659434 + 0.751763i \(0.729204\pi\)
\(312\) 20.5125 30.0383i 1.16129 1.70058i
\(313\) −12.7012 + 21.9992i −0.717916 + 1.24347i 0.243908 + 0.969798i \(0.421570\pi\)
−0.961824 + 0.273668i \(0.911763\pi\)
\(314\) 2.77076 + 18.4137i 0.156363 + 1.03915i
\(315\) 10.1219 7.76222i 0.570302 0.437352i
\(316\) −6.67542 21.6793i −0.375522 1.21956i
\(317\) −11.9131 + 20.6342i −0.669109 + 1.15893i 0.309045 + 0.951048i \(0.399991\pi\)
−0.978154 + 0.207883i \(0.933343\pi\)
\(318\) −10.2682 12.8825i −0.575814 0.722415i
\(319\) −4.89295 + 2.82495i −0.273953 + 0.158167i
\(320\) 11.7049 + 13.5276i 0.654322 + 0.756216i
\(321\) 8.09033i 0.451558i
\(322\) 7.66762 3.82564i 0.427300 0.213195i
\(323\) 7.02785i 0.391040i
\(324\) 4.82561 21.0942i 0.268089 1.17190i
\(325\) −10.1252 + 26.4454i −0.561643 + 1.46693i
\(326\) 19.0365 15.1734i 1.05434 0.840377i
\(327\) −3.92710 2.26731i −0.217169 0.125383i
\(328\) 0.199808 + 0.415696i 0.0110326 + 0.0229530i
\(329\) −17.5164 + 19.4259i −0.965711 + 1.07099i
\(330\) −5.75955 + 3.07300i −0.317053 + 0.169163i
\(331\) −2.35173 + 4.07331i −0.129263 + 0.223889i −0.923391 0.383861i \(-0.874594\pi\)
0.794129 + 0.607750i \(0.207928\pi\)
\(332\) −11.4426 10.6278i −0.627997 0.583275i
\(333\) 1.70246 + 2.94875i 0.0932943 + 0.161590i
\(334\) −0.376220 0.147763i −0.0205859 0.00808524i
\(335\) −5.25938 14.8316i −0.287351 0.810337i
\(336\) −9.07513 22.2514i −0.495089 1.21391i
\(337\) 10.0355i 0.546669i −0.961919 0.273335i \(-0.911873\pi\)
0.961919 0.273335i \(-0.0881267\pi\)
\(338\) 9.86179 25.1091i 0.536411 1.36576i
\(339\) 26.5969 15.3557i 1.44455 0.834009i
\(340\) 25.8592 + 11.1692i 1.40241 + 0.605737i
\(341\) 1.29018 2.23465i 0.0698670 0.121013i
\(342\) 0.506236 + 3.36431i 0.0273741 + 0.181921i
\(343\) 10.9181 14.9598i 0.589522 0.807752i
\(344\) 10.1621 + 21.1420i 0.547903 + 1.13990i
\(345\) 2.11411 11.4344i 0.113820 0.615606i
\(346\) 21.3054 16.9818i 1.14538 0.912949i
\(347\) 6.86288 3.96228i 0.368418 0.212706i −0.304349 0.952561i \(-0.598439\pi\)
0.672767 + 0.739854i \(0.265106\pi\)
\(348\) −27.5124 6.29387i −1.47482 0.337387i
\(349\) 6.06729 0.324775 0.162387 0.986727i \(-0.448081\pi\)
0.162387 + 0.986727i \(0.448081\pi\)
\(350\) 10.8815 + 15.2182i 0.581638 + 0.813448i
\(351\) 10.8529i 0.579283i
\(352\) 1.13817 + 5.01528i 0.0606647 + 0.267315i
\(353\) 17.3298 + 30.0161i 0.922371 + 1.59759i 0.795735 + 0.605644i \(0.207085\pi\)
0.126636 + 0.991949i \(0.459582\pi\)
\(354\) −28.9316 + 23.0605i −1.53770 + 1.22565i
\(355\) −1.78430 0.329902i −0.0947010 0.0175094i
\(356\) −8.43431 27.3915i −0.447018 1.45175i
\(357\) −28.1026 25.3402i −1.48735 1.34115i
\(358\) −1.96262 + 0.295321i −0.103728 + 0.0156082i
\(359\) 4.46664 + 2.57881i 0.235740 + 0.136105i 0.613217 0.789914i \(-0.289875\pi\)
−0.377477 + 0.926019i \(0.623208\pi\)
\(360\) −13.1836 3.48413i −0.694839 0.183630i
\(361\) −8.87752 15.3763i −0.467238 0.809280i
\(362\) −7.95233 + 20.2475i −0.417965 + 1.06418i
\(363\) 23.1009 1.21248
\(364\) −17.2206 24.5266i −0.902605 1.28554i
\(365\) 19.1373 6.78619i 1.00169 0.355206i
\(366\) 2.29440 5.84177i 0.119930 0.305354i
\(367\) 12.5217 7.22938i 0.653625 0.377371i −0.136218 0.990679i \(-0.543495\pi\)
0.789844 + 0.613308i \(0.210162\pi\)
\(368\) −8.24952 3.98284i −0.430036 0.207620i
\(369\) −0.304482 0.175793i −0.0158507 0.00915141i
\(370\) −4.40601 + 2.35082i −0.229058 + 0.122213i
\(371\) −12.9117 + 4.18504i −0.670341 + 0.217276i
\(372\) 12.3190 3.79321i 0.638708 0.196669i
\(373\) 3.13591 5.43156i 0.162372 0.281236i −0.773347 0.633983i \(-0.781419\pi\)
0.935719 + 0.352747i \(0.114752\pi\)
\(374\) 5.04754 + 6.33263i 0.261002 + 0.327452i
\(375\) 25.3793 + 0.631584i 1.31058 + 0.0326148i
\(376\) 27.8833 + 2.11041i 1.43797 + 0.108836i
\(377\) −35.1965 −1.81271
\(378\) −5.98015 3.95574i −0.307586 0.203461i
\(379\) −24.4959 −1.25827 −0.629135 0.777296i \(-0.716591\pi\)
−0.629135 + 0.777296i \(0.716591\pi\)
\(380\) −4.95645 + 0.576925i −0.254260 + 0.0295956i
\(381\) −1.53223 2.65390i −0.0784984 0.135963i
\(382\) 24.8483 19.8058i 1.27135 1.01335i
\(383\) −7.48398 4.32088i −0.382413 0.220786i 0.296454 0.955047i \(-0.404196\pi\)
−0.678868 + 0.734261i \(0.737529\pi\)
\(384\) −12.8836 + 22.2259i −0.657463 + 1.13421i
\(385\) 0.700523 + 5.33266i 0.0357019 + 0.271778i
\(386\) 3.48526 + 23.1621i 0.177395 + 1.17892i
\(387\) −15.4857 8.94069i −0.787184 0.454481i
\(388\) 14.6510 + 13.6076i 0.743791 + 0.690823i
\(389\) 8.34342 4.81708i 0.423028 0.244235i −0.273344 0.961916i \(-0.588130\pi\)
0.696372 + 0.717681i \(0.254796\pi\)
\(390\) −40.6444 1.36106i −2.05811 0.0689200i
\(391\) −14.4249 −0.729496
\(392\) −19.7914 + 0.549241i −0.999615 + 0.0277409i
\(393\) 18.5885i 0.937667i
\(394\) −8.34144 + 21.2382i −0.420236 + 1.06996i
\(395\) −16.4625 + 19.2920i −0.828316 + 0.970685i
\(396\) −2.87247 2.66791i −0.144347 0.134068i
\(397\) −13.5336 7.81361i −0.679230 0.392154i 0.120335 0.992733i \(-0.461603\pi\)
−0.799565 + 0.600580i \(0.794937\pi\)
\(398\) 30.5241 4.59303i 1.53003 0.230228i
\(399\) 6.55579 + 1.39838i 0.328200 + 0.0700068i
\(400\) 5.75437 19.1543i 0.287719 0.957715i
\(401\) −13.4230 + 23.2493i −0.670311 + 1.16101i 0.307505 + 0.951546i \(0.400506\pi\)
−0.977816 + 0.209466i \(0.932827\pi\)
\(402\) 17.6725 14.0862i 0.881423 0.702554i
\(403\) 13.9209 8.03726i 0.693452 0.400365i
\(404\) −7.75400 + 33.8951i −0.385776 + 1.68634i
\(405\) −22.8021 + 8.08575i −1.13304 + 0.401784i
\(406\) −12.8287 + 19.3940i −0.636678 + 0.962507i
\(407\) −1.43571 −0.0711656
\(408\) −3.05303 + 40.3375i −0.151147 + 1.99701i
\(409\) 9.54259 5.50941i 0.471850 0.272423i −0.245164 0.969482i \(-0.578842\pi\)
0.717014 + 0.697059i \(0.245508\pi\)
\(410\) 0.272633 0.437698i 0.0134644 0.0216164i
\(411\) −10.0628 5.80976i −0.496362 0.286574i
\(412\) 1.06429 + 3.45643i 0.0524339 + 0.170286i
\(413\) 9.39878 + 28.9971i 0.462484 + 1.42686i
\(414\) 6.90534 1.03906i 0.339379 0.0510672i
\(415\) −3.17441 + 17.1691i −0.155826 + 0.842797i
\(416\) −9.48115 + 30.6025i −0.464852 + 1.50041i
\(417\) 35.2327 20.3416i 1.72536 0.996134i
\(418\) −1.33526 0.524434i −0.0653098 0.0256509i
\(419\) 5.97226i 0.291764i −0.989302 0.145882i \(-0.953398\pi\)
0.989302 0.145882i \(-0.0466020\pi\)
\(420\) −15.5644 + 21.8998i −0.759464 + 1.06860i
\(421\) 20.0534i 0.977344i 0.872468 + 0.488672i \(0.162518\pi\)
−0.872468 + 0.488672i \(0.837482\pi\)
\(422\) 5.04905 12.8554i 0.245784 0.625791i
\(423\) −18.4602 + 10.6580i −0.897564 + 0.518209i
\(424\) 11.9828 + 8.18276i 0.581934 + 0.397390i
\(425\) −4.95354 31.1010i −0.240282 1.50862i
\(426\) −0.387751 2.57689i −0.0187866 0.124851i
\(427\) −3.84028 3.46279i −0.185844 0.167576i
\(428\) 2.09700 + 6.81030i 0.101363 + 0.329188i
\(429\) −10.1251 5.84574i −0.488845 0.282235i
\(430\) 13.8659 22.2610i 0.668674 1.07352i
\(431\) −21.7452 + 12.5546i −1.04743 + 0.604734i −0.921929 0.387359i \(-0.873387\pi\)
−0.125501 + 0.992093i \(0.540054\pi\)
\(432\) 0.565242 + 7.64427i 0.0271952 + 0.367785i
\(433\) 15.4250 0.741276 0.370638 0.928777i \(-0.379139\pi\)
0.370638 + 0.928777i \(0.379139\pi\)
\(434\) 0.645328 10.6002i 0.0309767 0.508826i
\(435\) 10.5460 + 29.7399i 0.505640 + 1.42592i
\(436\) 3.89345 + 0.890685i 0.186463 + 0.0426561i
\(437\) 2.21297 1.27766i 0.105861 0.0611186i
\(438\) 18.1754 + 22.8028i 0.868455 + 1.08956i
\(439\) 8.54597 14.8021i 0.407877 0.706464i −0.586775 0.809750i \(-0.699603\pi\)
0.994652 + 0.103287i \(0.0329359\pi\)
\(440\) 4.05178 4.07967i 0.193161 0.194491i
\(441\) 12.2228 8.85369i 0.582040 0.421605i
\(442\) 7.50653 + 49.8864i 0.357049 + 2.37286i
\(443\) −34.3644 19.8403i −1.63270 0.942640i −0.983256 0.182231i \(-0.941668\pi\)
−0.649445 0.760409i \(-0.724999\pi\)
\(444\) −5.25493 4.88071i −0.249388 0.231628i
\(445\) −20.8001 + 24.3752i −0.986019 + 1.15549i
\(446\) −23.2925 9.14828i −1.10293 0.433184i
\(447\) 16.1774i 0.765166i
\(448\) 13.4068 + 16.3786i 0.633413 + 0.773814i
\(449\) −7.32288 −0.345588 −0.172794 0.984958i \(-0.555279\pi\)
−0.172794 + 0.984958i \(0.555279\pi\)
\(450\) 4.61161 + 14.5316i 0.217394 + 0.685026i
\(451\) 0.128387 0.0741244i 0.00604552 0.00349038i
\(452\) −18.4086 + 19.8201i −0.865870 + 0.932259i
\(453\) −5.59865 3.23238i −0.263048 0.151871i
\(454\) −24.5162 + 3.68902i −1.15060 + 0.173134i
\(455\) −12.8308 + 30.9516i −0.601519 + 1.45103i
\(456\) −3.10445 6.45874i −0.145379 0.302458i
\(457\) −21.0598 12.1589i −0.985137 0.568769i −0.0813202 0.996688i \(-0.525914\pi\)
−0.903817 + 0.427919i \(0.859247\pi\)
\(458\) −6.09921 7.65206i −0.284998 0.357557i
\(459\) 6.03497 + 10.4529i 0.281688 + 0.487898i
\(460\) 1.18415 + 10.1732i 0.0552114 + 0.474330i
\(461\) −16.3772 −0.762764 −0.381382 0.924417i \(-0.624552\pi\)
−0.381382 + 0.924417i \(0.624552\pi\)
\(462\) −6.91161 + 3.44844i −0.321557 + 0.160436i
\(463\) −1.64446 −0.0764246 −0.0382123 0.999270i \(-0.512166\pi\)
−0.0382123 + 0.999270i \(0.512166\pi\)
\(464\) 24.7908 1.83312i 1.15089 0.0851002i
\(465\) −10.9624 9.35455i −0.508368 0.433807i
\(466\) 4.83914 3.85712i 0.224169 0.178678i
\(467\) −7.96501 + 13.7958i −0.368577 + 0.638393i −0.989343 0.145602i \(-0.953488\pi\)
0.620767 + 0.783995i \(0.286821\pi\)
\(468\) −7.18692 23.3405i −0.332216 1.07891i
\(469\) −5.74112 17.7125i −0.265100 0.817887i
\(470\) −14.7169 27.5831i −0.678841 1.27231i
\(471\) 25.8928 + 14.9492i 1.19308 + 0.688824i
\(472\) 18.3769 26.9110i 0.845865 1.23868i
\(473\) 6.52967 3.76991i 0.300235 0.173341i
\(474\) −33.9007 13.3147i −1.55711 0.611567i
\(475\) 3.51466 + 4.33257i 0.161264 + 0.198792i
\(476\) 30.2245 + 14.0468i 1.38534 + 0.643833i
\(477\) −11.0609 −0.506445
\(478\) −18.6306 7.31729i −0.852142 0.334685i
\(479\) 13.4844 + 23.3556i 0.616116 + 1.06714i 0.990188 + 0.139745i \(0.0446282\pi\)
−0.374071 + 0.927400i \(0.622038\pi\)
\(480\) 28.6990 1.15818i 1.30992 0.0528637i
\(481\) −7.74563 4.47194i −0.353170 0.203903i
\(482\) 3.25907 + 21.6589i 0.148447 + 0.986536i
\(483\) 2.87022 13.4559i 0.130599 0.612266i
\(484\) −19.4460 + 5.98774i −0.883908 + 0.272170i
\(485\) 4.06447 21.9830i 0.184558 0.998198i
\(486\) −16.5886 20.8120i −0.752472 0.944050i
\(487\) −6.04240 10.4658i −0.273808 0.474249i 0.696026 0.718017i \(-0.254950\pi\)
−0.969834 + 0.243768i \(0.921616\pi\)
\(488\) −0.417203 + 5.51221i −0.0188859 + 0.249526i
\(489\) 39.0871i 1.76758i
\(490\) 12.3783 + 18.3515i 0.559193 + 0.829038i
\(491\) 18.7339 0.845450 0.422725 0.906258i \(-0.361074\pi\)
0.422725 + 0.906258i \(0.361074\pi\)
\(492\) 0.721904 + 0.165146i 0.0325459 + 0.00744536i
\(493\) 33.8993 19.5718i 1.52675 0.881468i
\(494\) −5.57021 6.98837i −0.250616 0.314422i
\(495\) −0.796879 + 4.30999i −0.0358171 + 0.193720i
\(496\) −9.38669 + 6.38612i −0.421475 + 0.286745i
\(497\) −2.09976 0.447890i −0.0941872 0.0200906i
\(498\) −24.7956 + 3.73105i −1.11112 + 0.167192i
\(499\) 12.4806 21.6171i 0.558710 0.967714i −0.438895 0.898539i \(-0.644630\pi\)
0.997605 0.0691754i \(-0.0220368\pi\)
\(500\) −21.5276 + 6.04665i −0.962744 + 0.270414i
\(501\) −0.562043 + 0.324496i −0.0251102 + 0.0144974i
\(502\) −8.06935 3.16929i −0.360153 0.141452i
\(503\) 13.3328i 0.594481i −0.954803 0.297241i \(-0.903934\pi\)
0.954803 0.297241i \(-0.0960663\pi\)
\(504\) −15.4806 4.54719i −0.689562 0.202548i
\(505\) 36.6394 12.9926i 1.63043 0.578161i
\(506\) −1.07641 + 2.74066i −0.0478524 + 0.121837i
\(507\) −21.6570 37.5110i −0.961821 1.66592i
\(508\) 1.97769 + 1.83685i 0.0877459 + 0.0814972i
\(509\) 3.32935 5.76661i 0.147571 0.255600i −0.782758 0.622326i \(-0.786188\pi\)
0.930329 + 0.366726i \(0.119521\pi\)
\(510\) 39.9033 21.2903i 1.76695 0.942750i
\(511\) 22.8545 7.40778i 1.01102 0.327701i
\(512\) 5.08424 22.0488i 0.224694 0.974429i
\(513\) −1.85169 1.06907i −0.0817542 0.0472008i
\(514\) 5.65995 + 7.10095i 0.249649 + 0.313210i
\(515\) 2.62468 3.07580i 0.115657 0.135536i
\(516\) 36.7155 + 8.39920i 1.61631 + 0.369754i
\(517\) 8.98804i 0.395294i
\(518\) −5.28732 + 2.63803i −0.232312 + 0.115908i
\(519\) 43.7457i 1.92022i
\(520\) 34.5666 9.38928i 1.51584 0.411747i
\(521\) 6.14654 3.54871i 0.269285 0.155472i −0.359278 0.933231i \(-0.616977\pi\)
0.628563 + 0.777759i \(0.283644\pi\)
\(522\) −14.8182 + 11.8111i −0.648573 + 0.516957i
\(523\) −8.40071 + 14.5505i −0.367337 + 0.636247i −0.989148 0.146920i \(-0.953064\pi\)
0.621811 + 0.783167i \(0.286397\pi\)
\(524\) 4.81813 + 15.6475i 0.210481 + 0.683564i
\(525\) 29.9976 + 1.56759i 1.30920 + 0.0684155i
\(526\) −9.03436 + 1.35942i −0.393917 + 0.0592736i
\(527\) −8.93858 + 15.4821i −0.389371 + 0.674410i
\(528\) 7.43614 + 3.59014i 0.323616 + 0.156241i
\(529\) 8.87758 + 15.3764i 0.385982 + 0.668540i
\(530\) 0.542950 16.2137i 0.0235842 0.704280i
\(531\) 24.8407i 1.07800i
\(532\) −5.88101 + 0.522118i −0.254974 + 0.0226367i
\(533\) 0.923529 0.0400025
\(534\) −42.8331 16.8230i −1.85357 0.728003i
\(535\) 5.17148 6.06034i 0.223583 0.262012i
\(536\) −11.2253 + 16.4382i −0.484858 + 0.710021i
\(537\) −1.59336 + 2.75978i −0.0687585 + 0.119093i
\(538\) −2.11264 + 0.317894i −0.0910824 + 0.0137054i
\(539\) 0.656142 + 6.32998i 0.0282621 + 0.272652i
\(540\) 6.87655 5.11430i 0.295920 0.220084i
\(541\) −14.2808 8.24501i −0.613979 0.354481i 0.160542 0.987029i \(-0.448676\pi\)
−0.774521 + 0.632548i \(0.782009\pi\)
\(542\) 15.2720 + 19.1602i 0.655987 + 0.823000i
\(543\) 17.4637 + 30.2481i 0.749441 + 1.29807i
\(544\) −7.88546 34.7468i −0.338086 1.48976i
\(545\) −1.49243 4.20869i −0.0639285 0.180280i
\(546\) −48.0292 2.92396i −2.05546 0.125134i
\(547\) 4.86184i 0.207877i −0.994584 0.103939i \(-0.966855\pi\)
0.994584 0.103939i \(-0.0331446\pi\)
\(548\) 9.97658 + 2.28229i 0.426179 + 0.0974946i
\(549\) −2.10696 3.64936i −0.0899229 0.155751i
\(550\) −6.27871 1.37968i −0.267725 0.0588296i
\(551\) −3.46707 + 6.00515i −0.147702 + 0.255828i
\(552\) −13.2567 + 6.37197i −0.564244 + 0.271209i
\(553\) −20.0951 + 22.2858i −0.854532 + 0.947688i
\(554\) 16.1575 2.43126i 0.686467 0.103294i
\(555\) −1.45782 + 7.88475i −0.0618810 + 0.334689i
\(556\) −24.3858 + 26.2555i −1.03419 + 1.11348i
\(557\) −11.4750 19.8753i −0.486211 0.842142i 0.513663 0.857992i \(-0.328288\pi\)
−0.999874 + 0.0158495i \(0.994955\pi\)
\(558\) 3.16378 8.05532i 0.133934 0.341009i
\(559\) 46.9699 1.98662
\(560\) 7.42543 22.4692i 0.313782 0.949495i
\(561\) 13.0026 0.548970
\(562\) −8.60931 + 21.9202i −0.363162 + 0.924648i
\(563\) −7.57987 13.1287i −0.319453 0.553309i 0.660921 0.750456i \(-0.270166\pi\)
−0.980374 + 0.197146i \(0.936833\pi\)
\(564\) 30.5549 32.8976i 1.28659 1.38524i
\(565\) 29.7390 + 5.49848i 1.25113 + 0.231323i
\(566\) 31.8205 4.78810i 1.33751 0.201259i
\(567\) −27.2311 + 8.82638i −1.14360 + 0.370673i
\(568\) 0.994330 + 2.06868i 0.0417212 + 0.0867998i
\(569\) 0.815340 1.41221i 0.0341808 0.0592030i −0.848429 0.529309i \(-0.822451\pi\)
0.882610 + 0.470106i \(0.155784\pi\)
\(570\) −4.23595 + 6.80058i −0.177424 + 0.284845i
\(571\) 17.5826 + 30.4540i 0.735811 + 1.27446i 0.954367 + 0.298637i \(0.0965320\pi\)
−0.218556 + 0.975824i \(0.570135\pi\)
\(572\) 10.0384 + 2.29642i 0.419725 + 0.0960183i
\(573\) 51.0202i 2.13140i
\(574\) 0.336615 0.508883i 0.0140501 0.0212404i
\(575\) 8.89271 7.21394i 0.370852 0.300842i
\(576\) 6.27777 + 16.0657i 0.261574 + 0.669403i
\(577\) 7.78749 + 13.4883i 0.324198 + 0.561527i 0.981350 0.192231i \(-0.0615724\pi\)
−0.657152 + 0.753758i \(0.728239\pi\)
\(578\) −19.9852 25.0734i −0.831276 1.04292i
\(579\) 32.5699 + 18.8042i 1.35356 + 0.781477i
\(580\) −16.5860 22.3011i −0.688695 0.926001i
\(581\) −4.30973 + 20.2045i −0.178798 + 0.838225i
\(582\) 31.7479 4.77718i 1.31599 0.198021i
\(583\) 2.33196 4.03908i 0.0965801 0.167282i
\(584\) −21.2102 14.4840i −0.877686 0.599352i
\(585\) −17.7239 + 20.7702i −0.732792 + 0.858742i
\(586\) −11.4035 4.47880i −0.471073 0.185017i
\(587\) 17.6761 0.729572 0.364786 0.931091i \(-0.381142\pi\)
0.364786 + 0.931091i \(0.381142\pi\)
\(588\) −19.1172 + 25.3993i −0.788381 + 1.04745i
\(589\) 3.16688i 0.130489i
\(590\) −36.4129 1.21936i −1.49910 0.0502003i
\(591\) 18.3182 + 31.7281i 0.753511 + 1.30512i
\(592\) 5.68858 + 2.74642i 0.233799 + 0.112877i
\(593\) 4.15344 7.19397i 0.170561 0.295421i −0.768055 0.640384i \(-0.778775\pi\)
0.938616 + 0.344963i \(0.112109\pi\)
\(594\) 2.43634 0.366602i 0.0999644 0.0150419i
\(595\) −4.85335 36.9457i −0.198968 1.51463i
\(596\) −4.19317 13.6179i −0.171759 0.557810i
\(597\) 24.7810 42.9220i 1.01422 1.75668i
\(598\) −14.3438 + 11.4330i −0.586562 + 0.467530i
\(599\) 1.64713 0.950974i 0.0673001 0.0388557i −0.465972 0.884799i \(-0.654295\pi\)
0.533272 + 0.845944i \(0.320962\pi\)
\(600\) −18.2909 26.3943i −0.746721 1.07754i
\(601\) 3.61199i 0.147336i −0.997283 0.0736680i \(-0.976529\pi\)
0.997283 0.0736680i \(-0.0234705\pi\)
\(602\) 17.1200 25.8814i 0.697759 1.05485i
\(603\) 15.1736i 0.617917i
\(604\) 5.55068 + 1.26980i 0.225854 + 0.0516674i
\(605\) 17.3046 + 14.7665i 0.703531 + 0.600345i
\(606\) 34.7979 + 43.6573i 1.41357 + 1.77346i
\(607\) −23.1622 13.3727i −0.940124 0.542781i −0.0501251 0.998743i \(-0.515962\pi\)
−0.889999 + 0.455962i \(0.849295\pi\)
\(608\) 4.28738 + 4.63219i 0.173876 + 0.187860i
\(609\) 11.5119 + 35.5166i 0.466487 + 1.43921i
\(610\) 5.45286 2.90936i 0.220780 0.117797i
\(611\) 27.9959 48.4903i 1.13259 1.96171i
\(612\) 19.9010 + 18.4838i 0.804451 + 0.747163i
\(613\) 4.16951 + 7.22180i 0.168405 + 0.291686i 0.937859 0.347016i \(-0.112805\pi\)
−0.769454 + 0.638702i \(0.779472\pi\)
\(614\) −6.04173 + 15.3829i −0.243824 + 0.620802i
\(615\) −0.276718 0.780352i −0.0111583 0.0314668i
\(616\) 4.92424 4.69432i 0.198403 0.189140i
\(617\) 24.3929i 0.982021i −0.871154 0.491011i \(-0.836628\pi\)
0.871154 0.491011i \(-0.163372\pi\)
\(618\) 5.40494 + 2.12283i 0.217419 + 0.0853927i
\(619\) −35.5991 + 20.5532i −1.43085 + 0.826102i −0.997186 0.0749730i \(-0.976113\pi\)
−0.433664 + 0.901075i \(0.642780\pi\)
\(620\) 11.6526 + 5.03306i 0.467981 + 0.202133i
\(621\) −2.19430 + 3.80064i −0.0880543 + 0.152515i
\(622\) −15.8494 + 2.38490i −0.635503 + 0.0956257i
\(623\) −25.3899 + 28.1578i −1.01723 + 1.12812i
\(624\) 28.9353 + 42.5307i 1.15834 + 1.70259i
\(625\) 18.6076 + 16.6961i 0.744303 + 0.667842i
\(626\) −22.3916 28.0924i −0.894948 1.12280i
\(627\) −1.99477 + 1.15168i −0.0796636 + 0.0459938i
\(628\) −25.6710 5.87261i −1.02438 0.234343i
\(629\) 9.94688 0.396608
\(630\) 4.98466 + 17.3367i 0.198593 + 0.690711i
\(631\) 35.0578i 1.39563i −0.716279 0.697814i \(-0.754156\pi\)
0.716279 0.697814i \(-0.245844\pi\)
\(632\) 31.9882 + 2.42109i 1.27242 + 0.0963059i
\(633\) −11.0880 19.2049i −0.440707 0.763327i
\(634\) −21.0023 26.3494i −0.834106 1.04647i
\(635\) 0.548650 2.96742i 0.0217725 0.117759i
\(636\) 22.2662 6.85614i 0.882913 0.271864i
\(637\) −16.1767 + 36.1939i −0.640945 + 1.43405i
\(638\) −1.18891 7.90121i −0.0470696 0.312812i
\(639\) −1.51523 0.874819i −0.0599416 0.0346073i
\(640\) −23.8581 + 8.41369i −0.943075 + 0.332580i
\(641\) −3.51329 6.08519i −0.138766 0.240351i 0.788264 0.615338i \(-0.210980\pi\)
−0.927030 + 0.374987i \(0.877647\pi\)
\(642\) 10.6495 + 4.18267i 0.420303 + 0.165077i
\(643\) 4.42331 0.174438 0.0872191 0.996189i \(-0.472202\pi\)
0.0872191 + 0.996189i \(0.472202\pi\)
\(644\) 1.07166 + 12.0709i 0.0422294 + 0.475661i
\(645\) −14.0736 39.6881i −0.554149 1.56272i
\(646\) 9.25095 + 3.63337i 0.363974 + 0.142953i
\(647\) 0.327418 0.189035i 0.0128721 0.00743172i −0.493550 0.869717i \(-0.664301\pi\)
0.506422 + 0.862286i \(0.330968\pi\)
\(648\) 25.2720 + 17.2577i 0.992778 + 0.677946i
\(649\) −9.07099 5.23714i −0.356067 0.205576i
\(650\) −29.5761 27.0002i −1.16007 1.05904i
\(651\) −12.6636 11.4188i −0.496324 0.447536i
\(652\) 10.1313 + 32.9029i 0.396774 + 1.28858i
\(653\) −22.4109 + 38.8168i −0.877005 + 1.51902i −0.0223938 + 0.999749i \(0.507129\pi\)
−0.854611 + 0.519268i \(0.826205\pi\)
\(654\) 5.01482 3.99716i 0.196095 0.156301i
\(655\) 11.8821 13.9244i 0.464273 0.544071i
\(656\) −0.650492 + 0.0480995i −0.0253974 + 0.00187797i
\(657\) 19.5786 0.763832
\(658\) −16.5150 33.1004i −0.643820 1.29039i
\(659\) −24.4018 −0.950557 −0.475279 0.879835i \(-0.657653\pi\)
−0.475279 + 0.879835i \(0.657653\pi\)
\(660\) −1.06740 9.17018i −0.0415484 0.356949i
\(661\) −14.4940 25.1043i −0.563751 0.976445i −0.997165 0.0752499i \(-0.976025\pi\)
0.433414 0.901195i \(-0.357309\pi\)
\(662\) −4.14597 5.20153i −0.161138 0.202163i
\(663\) 70.1487 + 40.5004i 2.72435 + 1.57290i
\(664\) 19.9054 9.56773i 0.772480 0.371300i
\(665\) 4.01697 + 5.23809i 0.155771 + 0.203124i
\(666\) −4.76168 + 0.716502i −0.184511 + 0.0277639i
\(667\) 12.3257 + 7.11626i 0.477254 + 0.275543i
\(668\) 0.389009 0.418836i 0.0150512 0.0162052i
\(669\) −34.7971 + 20.0901i −1.34533 + 0.776728i
\(670\) 22.2423 + 0.744829i 0.859296 + 0.0287753i
\(671\) 1.77683 0.0685938
\(672\) 33.9819 0.441965i 1.31088 0.0170492i
\(673\) 1.93910i 0.0747467i −0.999301 0.0373733i \(-0.988101\pi\)
0.999301 0.0373733i \(-0.0118991\pi\)
\(674\) 13.2100 + 5.18833i 0.508831 + 0.199847i
\(675\) −8.94800 3.42593i −0.344409 0.131864i
\(676\) 27.9533 + 25.9627i 1.07513 + 0.998564i
\(677\) 36.9976 + 21.3606i 1.42193 + 0.820954i 0.996464 0.0840182i \(-0.0267754\pi\)
0.425470 + 0.904972i \(0.360109\pi\)
\(678\) 6.46265 + 42.9491i 0.248197 + 1.64945i
\(679\) 5.51811 25.8695i 0.211766 0.992782i
\(680\) −28.0715 + 28.2647i −1.07649 + 1.08390i
\(681\) −19.9035 + 34.4739i −0.762705 + 1.32104i
\(682\) 2.27451 + 2.85360i 0.0870956 + 0.109270i
\(683\) −32.6952 + 18.8766i −1.25105 + 0.722293i −0.971318 0.237786i \(-0.923578\pi\)
−0.279730 + 0.960079i \(0.590245\pi\)
\(684\) −4.69025 1.07297i −0.179336 0.0410258i
\(685\) −3.82419 10.7843i −0.146115 0.412048i
\(686\) 14.0473 + 22.1059i 0.536330 + 0.844009i
\(687\) −15.7117 −0.599440
\(688\) −33.0835 + 2.44630i −1.26130 + 0.0932644i
\(689\) 25.1618 14.5272i 0.958588 0.553441i
\(690\) 13.9584 + 8.69439i 0.531386 + 0.330990i
\(691\) 17.4603 + 10.0807i 0.664220 + 0.383487i 0.793883 0.608071i \(-0.208056\pi\)
−0.129663 + 0.991558i \(0.541390\pi\)
\(692\) 11.3388 + 36.8244i 0.431038 + 1.39985i
\(693\) −1.08188 + 5.07198i −0.0410972 + 0.192669i
\(694\) 1.66758 + 11.0823i 0.0633003 + 0.420677i
\(695\) 39.3951 + 7.28380i 1.49434 + 0.276290i
\(696\) 22.5086 32.9614i 0.853186 1.24940i
\(697\) −0.889491 + 0.513548i −0.0336919 + 0.0194520i
\(698\) −3.13677 + 7.98654i −0.118728 + 0.302295i
\(699\) 9.93606i 0.375816i
\(700\) −25.6578 + 6.45578i −0.969774 + 0.244005i
\(701\) 20.2036i 0.763080i −0.924352 0.381540i \(-0.875394\pi\)
0.924352 0.381540i \(-0.124606\pi\)
\(702\) 14.2859 + 5.61089i 0.539187 + 0.211770i
\(703\) −1.52599 + 0.881028i −0.0575536 + 0.0332286i
\(704\) −7.19017 1.09468i −0.270990 0.0412572i
\(705\) −49.3612 9.12645i −1.85905 0.343722i
\(706\) −48.4704 + 7.29345i −1.82421 + 0.274493i
\(707\) 43.7562 14.1826i 1.64562 0.533392i
\(708\) −15.3976 50.0056i −0.578676 1.87933i
\(709\) −11.7495 6.78358i −0.441262 0.254763i 0.262871 0.964831i \(-0.415331\pi\)
−0.704133 + 0.710068i \(0.748664\pi\)
\(710\) 1.35674 2.17817i 0.0509175 0.0817452i
\(711\) −21.1778 + 12.2270i −0.794231 + 0.458549i
\(712\) 40.4167 + 3.05902i 1.51468 + 0.114642i
\(713\) −6.50010 −0.243431
\(714\) 47.8849 23.8914i 1.79205 0.894115i
\(715\) −3.84787 10.8511i −0.143902 0.405809i
\(716\) 0.625930 2.73613i 0.0233921 0.102254i
\(717\) −27.8326 + 16.0691i −1.03943 + 0.600113i
\(718\) −5.70380 + 4.54632i −0.212864 + 0.169667i
\(719\) −20.1941 + 34.9772i −0.753113 + 1.30443i 0.193194 + 0.981161i \(0.438115\pi\)
−0.946307 + 0.323270i \(0.895218\pi\)
\(720\) 11.4021 15.5527i 0.424933 0.579615i
\(721\) 3.20385 3.55312i 0.119318 0.132325i
\(722\) 24.8299 3.73621i 0.924073 0.139047i
\(723\) 30.4561 + 17.5838i 1.13267 + 0.653950i
\(724\) −22.5409 20.9357i −0.837728 0.778070i
\(725\) −11.1105 + 29.0189i −0.412633 + 1.07774i
\(726\) −11.9431 + 30.4084i −0.443250 + 1.12856i
\(727\) 7.15590i 0.265397i 0.991156 + 0.132699i \(0.0423643\pi\)
−0.991156 + 0.132699i \(0.957636\pi\)
\(728\) 41.1880 9.98777i 1.52653 0.370172i
\(729\) −10.2739 −0.380516
\(730\) −0.961056 + 28.6993i −0.0355703 + 1.06221i
\(731\) −45.2388 + 26.1186i −1.67322 + 0.966033i
\(732\) 6.50348 + 6.04035i 0.240376 + 0.223258i
\(733\) −24.8024 14.3197i −0.916097 0.528909i −0.0337089 0.999432i \(-0.510732\pi\)
−0.882388 + 0.470523i \(0.844065\pi\)
\(734\) 3.04258 + 20.2202i 0.112304 + 0.746340i
\(735\) 35.4297 + 2.82400i 1.30684 + 0.104165i
\(736\) 9.50768 8.79995i 0.350458 0.324370i
\(737\) 5.54089 + 3.19903i 0.204101 + 0.117838i
\(738\) 0.388817 0.309914i 0.0143126 0.0114081i
\(739\) −16.4535 28.4983i −0.605252 1.04833i −0.992012 0.126147i \(-0.959739\pi\)
0.386760 0.922181i \(-0.373594\pi\)
\(740\) −0.816551 7.01511i −0.0300170 0.257881i
\(741\) −14.3490 −0.527124
\(742\) 1.16642 19.1596i 0.0428205 0.703372i
\(743\) −22.3184 −0.818782 −0.409391 0.912359i \(-0.634259\pi\)
−0.409391 + 0.912359i \(0.634259\pi\)
\(744\) −1.37575 + 18.1768i −0.0504375 + 0.666395i
\(745\) −10.3409 + 12.1183i −0.378861 + 0.443979i
\(746\) 5.52845 + 6.93599i 0.202411 + 0.253944i
\(747\) −8.41776 + 14.5800i −0.307990 + 0.533454i
\(748\) −10.9454 + 3.37026i −0.400202 + 0.123229i
\(749\) 6.31264 7.00081i 0.230659 0.255804i
\(750\) −13.9524 + 33.0810i −0.509470 + 1.20795i
\(751\) −39.6036 22.8651i −1.44516 0.834361i −0.446968 0.894550i \(-0.647496\pi\)
−0.998187 + 0.0601891i \(0.980830\pi\)
\(752\) −17.1936 + 35.6125i −0.626984 + 1.29865i
\(753\) −12.0549 + 6.95993i −0.439307 + 0.253634i
\(754\) 18.1965 46.3301i 0.662676 1.68724i
\(755\) −2.12767 6.00009i −0.0774338 0.218366i
\(756\) 8.29876 5.82672i 0.301823 0.211916i
\(757\) −28.8916 −1.05008 −0.525042 0.851076i \(-0.675950\pi\)
−0.525042 + 0.851076i \(0.675950\pi\)
\(758\) 12.6643 32.2446i 0.459988 1.17118i
\(759\) 2.36386 + 4.09432i 0.0858027 + 0.148615i
\(760\) 1.80304 6.82257i 0.0654033 0.247481i
\(761\) 27.9186 + 16.1188i 1.01205 + 0.584306i 0.911791 0.410655i \(-0.134700\pi\)
0.100258 + 0.994962i \(0.468033\pi\)
\(762\) 4.28555 0.644857i 0.155249 0.0233607i
\(763\) −1.62913 5.02618i −0.0589783 0.181960i
\(764\) 13.2244 + 42.9480i 0.478442 + 1.55380i
\(765\) 5.52093 29.8604i 0.199610 1.07961i
\(766\) 9.55687 7.61748i 0.345304 0.275231i
\(767\) −32.6252 56.5085i −1.17803 2.04040i
\(768\) −22.5958 28.4497i −0.815356 1.02659i
\(769\) 8.89606i 0.320800i −0.987052 0.160400i \(-0.948722\pi\)
0.987052 0.160400i \(-0.0512784\pi\)
\(770\) −7.38169 1.83485i −0.266018 0.0661234i
\(771\) 14.5802 0.525092
\(772\) −32.2908 7.38700i −1.16217 0.265864i
\(773\) −24.6869 + 14.2530i −0.887925 + 0.512644i −0.873263 0.487249i \(-0.838001\pi\)
−0.0146619 + 0.999893i \(0.504667\pi\)
\(774\) 19.7749 15.7620i