Properties

Label 273.2.bh.a.131.7
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.7
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.61355 - 0.931585i) q^{2} +(-1.54166 - 0.789478i) q^{3} +(0.735702 + 1.27427i) q^{4} +(0.650945 - 1.12747i) q^{5} +(1.75209 + 2.71005i) q^{6} +(-0.953821 + 2.46784i) q^{7} +0.984865i q^{8} +(1.75345 + 2.43422i) q^{9} +O(q^{10})\) \(q+(-1.61355 - 0.931585i) q^{2} +(-1.54166 - 0.789478i) q^{3} +(0.735702 + 1.27427i) q^{4} +(0.650945 - 1.12747i) q^{5} +(1.75209 + 2.71005i) q^{6} +(-0.953821 + 2.46784i) q^{7} +0.984865i q^{8} +(1.75345 + 2.43422i) q^{9} +(-2.10067 + 1.21282i) q^{10} +(-3.00907 + 1.73729i) q^{11} +(-0.128193 - 2.54532i) q^{12} -1.00000i q^{13} +(3.83804 - 3.09342i) q^{14} +(-1.89365 + 1.22427i) q^{15} +(2.38889 - 4.13768i) q^{16} +(-0.478360 - 0.828544i) q^{17} +(-0.561600 - 5.56123i) q^{18} +(6.70949 + 3.87373i) q^{19} +1.91561 q^{20} +(3.41877 - 3.05155i) q^{21} +6.47373 q^{22} +(2.28181 + 1.31741i) q^{23} +(0.777530 - 1.51833i) q^{24} +(1.65254 + 2.86228i) q^{25} +(-0.931585 + 1.61355i) q^{26} +(-0.781464 - 5.13705i) q^{27} +(-3.84643 + 0.600165i) q^{28} +1.37565i q^{29} +(4.19602 - 0.211330i) q^{30} +(-0.469556 + 0.271098i) q^{31} +(-6.00336 + 3.46604i) q^{32} +(6.01053 - 0.302717i) q^{33} +1.78253i q^{34} +(2.16153 + 2.68183i) q^{35} +(-1.81184 + 4.02523i) q^{36} +(1.83050 - 3.17052i) q^{37} +(-7.21741 - 12.5009i) q^{38} +(-0.789478 + 1.54166i) q^{39} +(1.11041 + 0.641093i) q^{40} +9.40663 q^{41} +(-8.35916 + 1.73896i) q^{42} -6.05484 q^{43} +(-4.42756 - 2.55625i) q^{44} +(3.88591 - 0.392418i) q^{45} +(-2.45455 - 4.25141i) q^{46} +(-5.18925 + 8.98805i) q^{47} +(-6.94947 + 4.49293i) q^{48} +(-5.18045 - 4.70775i) q^{49} -6.15793i q^{50} +(0.0833526 + 1.65499i) q^{51} +(1.27427 - 0.735702i) q^{52} +(-3.90354 + 2.25371i) q^{53} +(-3.52467 + 9.01691i) q^{54} +4.52352i q^{55} +(-2.43049 - 0.939385i) q^{56} +(-7.28555 - 11.2690i) q^{57} +(1.28154 - 2.21969i) q^{58} +(1.58070 + 2.73786i) q^{59} +(-2.95322 - 1.51233i) q^{60} +(9.76740 + 5.63921i) q^{61} +1.01020 q^{62} +(-7.67973 + 2.00542i) q^{63} +3.36010 q^{64} +(-1.12747 - 0.650945i) q^{65} +(-9.98032 - 5.11087i) q^{66} +(1.90946 + 3.30728i) q^{67} +(0.703861 - 1.21912i) q^{68} +(-2.47773 - 3.83244i) q^{69} +(-0.989386 - 6.34093i) q^{70} +16.4877i q^{71} +(-2.39738 + 1.72691i) q^{72} +(-7.30665 + 4.21850i) q^{73} +(-5.90723 + 3.41054i) q^{74} +(-0.287949 - 5.71732i) q^{75} +11.3996i q^{76} +(-1.41723 - 9.08297i) q^{77} +(2.71005 - 1.75209i) q^{78} +(-0.00970735 + 0.0168136i) q^{79} +(-3.11007 - 5.38680i) q^{80} +(-2.85084 + 8.53655i) q^{81} +(-15.1781 - 8.76308i) q^{82} +13.7006 q^{83} +(6.40371 + 2.11142i) q^{84} -1.24555 q^{85} +(9.76980 + 5.64060i) q^{86} +(1.08605 - 2.12079i) q^{87} +(-1.71100 - 2.96353i) q^{88} +(0.846721 - 1.46656i) q^{89} +(-6.63569 - 2.98687i) q^{90} +(2.46784 + 0.953821i) q^{91} +3.87687i q^{92} +(0.937923 - 0.0472379i) q^{93} +(16.7463 - 9.66846i) q^{94} +(8.73502 - 5.04317i) q^{95} +(11.9915 - 0.603946i) q^{96} +13.4723i q^{97} +(3.97326 + 12.4222i) q^{98} +(-9.50520 - 4.27850i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.61355 0.931585i −1.14095 0.658730i −0.194287 0.980945i \(-0.562239\pi\)
−0.946667 + 0.322214i \(0.895573\pi\)
\(3\) −1.54166 0.789478i −0.890079 0.455805i
\(4\) 0.735702 + 1.27427i 0.367851 + 0.637136i
\(5\) 0.650945 1.12747i 0.291112 0.504220i −0.682961 0.730455i \(-0.739308\pi\)
0.974073 + 0.226235i \(0.0726416\pi\)
\(6\) 1.75209 + 2.71005i 0.715287 + 1.10638i
\(7\) −0.953821 + 2.46784i −0.360510 + 0.932755i
\(8\) 0.984865i 0.348202i
\(9\) 1.75345 + 2.43422i 0.584483 + 0.811406i
\(10\) −2.10067 + 1.21282i −0.664290 + 0.383528i
\(11\) −3.00907 + 1.73729i −0.907270 + 0.523813i −0.879552 0.475803i \(-0.842157\pi\)
−0.0277183 + 0.999616i \(0.508824\pi\)
\(12\) −0.128193 2.54532i −0.0370063 0.734770i
\(13\) 1.00000i 0.277350i
\(14\) 3.83804 3.09342i 1.02576 0.826752i
\(15\) −1.89365 + 1.22427i −0.488939 + 0.316106i
\(16\) 2.38889 4.13768i 0.597222 1.03442i
\(17\) −0.478360 0.828544i −0.116019 0.200951i 0.802167 0.597099i \(-0.203680\pi\)
−0.918187 + 0.396148i \(0.870347\pi\)
\(18\) −0.561600 5.56123i −0.132370 1.31079i
\(19\) 6.70949 + 3.87373i 1.53926 + 0.888694i 0.998882 + 0.0472727i \(0.0150530\pi\)
0.540380 + 0.841421i \(0.318280\pi\)
\(20\) 1.91561 0.428343
\(21\) 3.41877 3.05155i 0.746038 0.665904i
\(22\) 6.47373 1.38020
\(23\) 2.28181 + 1.31741i 0.475791 + 0.274698i 0.718661 0.695361i \(-0.244755\pi\)
−0.242870 + 0.970059i \(0.578089\pi\)
\(24\) 0.777530 1.51833i 0.158713 0.309928i
\(25\) 1.65254 + 2.86228i 0.330508 + 0.572457i
\(26\) −0.931585 + 1.61355i −0.182699 + 0.316444i
\(27\) −0.781464 5.13705i −0.150393 0.988626i
\(28\) −3.84643 + 0.600165i −0.726906 + 0.113420i
\(29\) 1.37565i 0.255452i 0.991809 + 0.127726i \(0.0407679\pi\)
−0.991809 + 0.127726i \(0.959232\pi\)
\(30\) 4.19602 0.211330i 0.766085 0.0385834i
\(31\) −0.469556 + 0.271098i −0.0843347 + 0.0486907i −0.541574 0.840653i \(-0.682172\pi\)
0.457240 + 0.889344i \(0.348838\pi\)
\(32\) −6.00336 + 3.46604i −1.06125 + 0.612716i
\(33\) 6.01053 0.302717i 1.04630 0.0526962i
\(34\) 1.78253i 0.305702i
\(35\) 2.16153 + 2.68183i 0.365365 + 0.453312i
\(36\) −1.81184 + 4.02523i −0.301974 + 0.670872i
\(37\) 1.83050 3.17052i 0.300933 0.521231i −0.675415 0.737438i \(-0.736035\pi\)
0.976348 + 0.216207i \(0.0693687\pi\)
\(38\) −7.21741 12.5009i −1.17082 2.02792i
\(39\) −0.789478 + 1.54166i −0.126418 + 0.246864i
\(40\) 1.11041 + 0.641093i 0.175571 + 0.101366i
\(41\) 9.40663 1.46907 0.734534 0.678571i \(-0.237401\pi\)
0.734534 + 0.678571i \(0.237401\pi\)
\(42\) −8.35916 + 1.73896i −1.28985 + 0.268328i
\(43\) −6.05484 −0.923354 −0.461677 0.887048i \(-0.652752\pi\)
−0.461677 + 0.887048i \(0.652752\pi\)
\(44\) −4.42756 2.55625i −0.667480 0.385370i
\(45\) 3.88591 0.392418i 0.579277 0.0584982i
\(46\) −2.45455 4.25141i −0.361904 0.626836i
\(47\) −5.18925 + 8.98805i −0.756930 + 1.31104i 0.187479 + 0.982269i \(0.439968\pi\)
−0.944409 + 0.328773i \(0.893365\pi\)
\(48\) −6.94947 + 4.49293i −1.00307 + 0.648498i
\(49\) −5.18045 4.70775i −0.740064 0.672536i
\(50\) 6.15793i 0.870863i
\(51\) 0.0833526 + 1.65499i 0.0116717 + 0.231745i
\(52\) 1.27427 0.735702i 0.176710 0.102023i
\(53\) −3.90354 + 2.25371i −0.536192 + 0.309571i −0.743534 0.668698i \(-0.766852\pi\)
0.207342 + 0.978268i \(0.433519\pi\)
\(54\) −3.52467 + 9.01691i −0.479647 + 1.22705i
\(55\) 4.52352i 0.609952i
\(56\) −2.43049 0.939385i −0.324788 0.125531i
\(57\) −7.28555 11.2690i −0.964994 1.49261i
\(58\) 1.28154 2.21969i 0.168274 0.291460i
\(59\) 1.58070 + 2.73786i 0.205790 + 0.356438i 0.950384 0.311079i \(-0.100690\pi\)
−0.744594 + 0.667517i \(0.767357\pi\)
\(60\) −2.95322 1.51233i −0.381259 0.195241i
\(61\) 9.76740 + 5.63921i 1.25059 + 0.722027i 0.971226 0.238160i \(-0.0765441\pi\)
0.279361 + 0.960186i \(0.409877\pi\)
\(62\) 1.01020 0.128296
\(63\) −7.67973 + 2.00542i −0.967555 + 0.252659i
\(64\) 3.36010 0.420012
\(65\) −1.12747 0.650945i −0.139845 0.0807398i
\(66\) −9.98032 5.11087i −1.22849 0.629105i
\(67\) 1.90946 + 3.30728i 0.233277 + 0.404048i 0.958771 0.284181i \(-0.0917217\pi\)
−0.725493 + 0.688229i \(0.758388\pi\)
\(68\) 0.703861 1.21912i 0.0853557 0.147840i
\(69\) −2.47773 3.83244i −0.298283 0.461371i
\(70\) −0.989386 6.34093i −0.118254 0.757886i
\(71\) 16.4877i 1.95673i 0.206894 + 0.978363i \(0.433664\pi\)
−0.206894 + 0.978363i \(0.566336\pi\)
\(72\) −2.39738 + 1.72691i −0.282534 + 0.203518i
\(73\) −7.30665 + 4.21850i −0.855179 + 0.493738i −0.862395 0.506236i \(-0.831036\pi\)
0.00721618 + 0.999974i \(0.497703\pi\)
\(74\) −5.90723 + 3.41054i −0.686701 + 0.396467i
\(75\) −0.287949 5.71732i −0.0332495 0.660179i
\(76\) 11.3996i 1.30763i
\(77\) −1.41723 9.08297i −0.161509 1.03510i
\(78\) 2.71005 1.75209i 0.306853 0.198385i
\(79\) −0.00970735 + 0.0168136i −0.00109216 + 0.00189168i −0.866571 0.499054i \(-0.833681\pi\)
0.865479 + 0.500946i \(0.167014\pi\)
\(80\) −3.11007 5.38680i −0.347717 0.602263i
\(81\) −2.85084 + 8.53655i −0.316760 + 0.948506i
\(82\) −15.1781 8.76308i −1.67614 0.967720i
\(83\) 13.7006 1.50384 0.751918 0.659257i \(-0.229129\pi\)
0.751918 + 0.659257i \(0.229129\pi\)
\(84\) 6.40371 + 2.11142i 0.698702 + 0.230375i
\(85\) −1.24555 −0.135098
\(86\) 9.76980 + 5.64060i 1.05350 + 0.608241i
\(87\) 1.08605 2.12079i 0.116437 0.227373i
\(88\) −1.71100 2.96353i −0.182393 0.315914i
\(89\) 0.846721 1.46656i 0.0897523 0.155455i −0.817654 0.575710i \(-0.804726\pi\)
0.907406 + 0.420254i \(0.138059\pi\)
\(90\) −6.63569 2.98687i −0.699463 0.314843i
\(91\) 2.46784 + 0.953821i 0.258700 + 0.0999876i
\(92\) 3.87687i 0.404192i
\(93\) 0.937923 0.0472379i 0.0972581 0.00489834i
\(94\) 16.7463 9.66846i 1.72724 0.997225i
\(95\) 8.73502 5.04317i 0.896194 0.517418i
\(96\) 11.9915 0.603946i 1.22388 0.0616399i
\(97\) 13.4723i 1.36791i 0.729526 + 0.683953i \(0.239741\pi\)
−0.729526 + 0.683953i \(0.760259\pi\)
\(98\) 3.97326 + 12.4222i 0.401360 + 1.25484i
\(99\) −9.50520 4.27850i −0.955309 0.430005i
\(100\) −2.43155 + 4.21157i −0.243155 + 0.421157i
\(101\) 3.29692 + 5.71044i 0.328056 + 0.568210i 0.982126 0.188224i \(-0.0602731\pi\)
−0.654070 + 0.756434i \(0.726940\pi\)
\(102\) 1.40727 2.74806i 0.139341 0.272099i
\(103\) −5.90774 3.41084i −0.582107 0.336080i 0.179863 0.983692i \(-0.442434\pi\)
−0.761970 + 0.647612i \(0.775768\pi\)
\(104\) 0.984865 0.0965740
\(105\) −1.21510 5.84096i −0.118582 0.570019i
\(106\) 8.39808 0.815694
\(107\) −1.96525 1.13464i −0.189988 0.109690i 0.401989 0.915645i \(-0.368319\pi\)
−0.591977 + 0.805955i \(0.701652\pi\)
\(108\) 5.97108 4.77514i 0.574568 0.459488i
\(109\) −8.52317 14.7626i −0.816372 1.41400i −0.908339 0.418235i \(-0.862649\pi\)
0.0919669 0.995762i \(-0.470685\pi\)
\(110\) 4.21405 7.29894i 0.401794 0.695927i
\(111\) −5.32508 + 3.44274i −0.505434 + 0.326770i
\(112\) 7.93255 + 9.84200i 0.749555 + 0.929981i
\(113\) 14.9166i 1.40324i −0.712552 0.701619i \(-0.752461\pi\)
0.712552 0.701619i \(-0.247539\pi\)
\(114\) 1.25761 + 24.9702i 0.117786 + 2.33867i
\(115\) 2.97067 1.71512i 0.277017 0.159936i
\(116\) −1.75296 + 1.01207i −0.162758 + 0.0939684i
\(117\) 2.43422 1.75345i 0.225044 0.162106i
\(118\) 5.89023i 0.542240i
\(119\) 2.50098 0.390233i 0.229265 0.0357726i
\(120\) −1.20574 1.86499i −0.110069 0.170250i
\(121\) 0.536353 0.928991i 0.0487594 0.0844537i
\(122\) −10.5068 18.1983i −0.951242 1.64760i
\(123\) −14.5019 7.42633i −1.30759 0.669610i
\(124\) −0.690906 0.398895i −0.0620452 0.0358218i
\(125\) 10.8123 0.967082
\(126\) 14.2599 + 3.91848i 1.27037 + 0.349086i
\(127\) 2.91301 0.258488 0.129244 0.991613i \(-0.458745\pi\)
0.129244 + 0.991613i \(0.458745\pi\)
\(128\) 6.58503 + 3.80187i 0.582040 + 0.336041i
\(129\) 9.33452 + 4.78016i 0.821859 + 0.420870i
\(130\) 1.21282 + 2.10067i 0.106372 + 0.184241i
\(131\) 0.334792 0.579878i 0.0292510 0.0506641i −0.851029 0.525118i \(-0.824021\pi\)
0.880280 + 0.474454i \(0.157354\pi\)
\(132\) 4.80770 + 7.43635i 0.418457 + 0.647251i
\(133\) −15.9594 + 12.8631i −1.38385 + 1.11537i
\(134\) 7.11529i 0.614667i
\(135\) −6.30057 2.46286i −0.542266 0.211970i
\(136\) 0.816004 0.471120i 0.0699718 0.0403982i
\(137\) −7.40485 + 4.27519i −0.632639 + 0.365254i −0.781773 0.623563i \(-0.785685\pi\)
0.149135 + 0.988817i \(0.452351\pi\)
\(138\) 0.427697 + 8.49205i 0.0364080 + 0.722892i
\(139\) 19.3339i 1.63988i −0.572447 0.819942i \(-0.694006\pi\)
0.572447 0.819942i \(-0.305994\pi\)
\(140\) −1.82715 + 4.72741i −0.154422 + 0.399539i
\(141\) 15.0959 9.75974i 1.27131 0.821918i
\(142\) 15.3597 26.6037i 1.28895 2.23254i
\(143\) 1.73729 + 3.00907i 0.145279 + 0.251631i
\(144\) 14.2608 1.44013i 1.18840 0.120011i
\(145\) 1.55101 + 0.895475i 0.128804 + 0.0743652i
\(146\) 15.7196 1.30096
\(147\) 4.26984 + 11.3476i 0.352171 + 0.935936i
\(148\) 5.38682 0.442794
\(149\) −5.10781 2.94900i −0.418448 0.241591i 0.275965 0.961168i \(-0.411003\pi\)
−0.694413 + 0.719576i \(0.744336\pi\)
\(150\) −4.86155 + 9.49345i −0.396944 + 0.775137i
\(151\) 4.43493 + 7.68152i 0.360909 + 0.625113i 0.988111 0.153744i \(-0.0491331\pi\)
−0.627201 + 0.778857i \(0.715800\pi\)
\(152\) −3.81510 + 6.60794i −0.309445 + 0.535975i
\(153\) 1.17808 2.61724i 0.0952419 0.211592i
\(154\) −6.17478 + 15.9761i −0.497578 + 1.28739i
\(155\) 0.705880i 0.0566977i
\(156\) −2.54532 + 0.128193i −0.203789 + 0.0102637i
\(157\) 1.15525 0.666985i 0.0921992 0.0532312i −0.453192 0.891413i \(-0.649715\pi\)
0.545391 + 0.838182i \(0.316381\pi\)
\(158\) 0.0313266 0.0180864i 0.00249221 0.00143888i
\(159\) 7.79719 0.392701i 0.618357 0.0311432i
\(160\) 9.02482i 0.713474i
\(161\) −5.42759 + 4.37458i −0.427754 + 0.344765i
\(162\) 12.5525 11.1184i 0.986218 0.873542i
\(163\) −10.0912 + 17.4785i −0.790406 + 1.36902i 0.135310 + 0.990803i \(0.456797\pi\)
−0.925716 + 0.378220i \(0.876536\pi\)
\(164\) 6.92047 + 11.9866i 0.540398 + 0.935997i
\(165\) 3.57122 6.97375i 0.278019 0.542905i
\(166\) −22.1066 12.7633i −1.71581 0.990622i
\(167\) 1.90725 0.147587 0.0737936 0.997274i \(-0.476489\pi\)
0.0737936 + 0.997274i \(0.476489\pi\)
\(168\) 3.00537 + 3.36703i 0.231869 + 0.259772i
\(169\) −1.00000 −0.0769231
\(170\) 2.00975 + 1.16033i 0.154141 + 0.0889934i
\(171\) 2.33525 + 23.1247i 0.178581 + 1.76839i
\(172\) −4.45456 7.71552i −0.339657 0.588303i
\(173\) 8.22131 14.2397i 0.625055 1.08263i −0.363475 0.931604i \(-0.618410\pi\)
0.988530 0.151023i \(-0.0482568\pi\)
\(174\) −3.72810 + 2.41027i −0.282626 + 0.182722i
\(175\) −8.63988 + 1.34810i −0.653114 + 0.101906i
\(176\) 16.6008i 1.25133i
\(177\) −0.275432 5.46878i −0.0207027 0.411059i
\(178\) −2.73246 + 1.57759i −0.204806 + 0.118245i
\(179\) 3.54889 2.04895i 0.265256 0.153146i −0.361474 0.932382i \(-0.617726\pi\)
0.626730 + 0.779237i \(0.284393\pi\)
\(180\) 3.35892 + 4.66300i 0.250359 + 0.347560i
\(181\) 9.88890i 0.735036i 0.930016 + 0.367518i \(0.119792\pi\)
−0.930016 + 0.367518i \(0.880208\pi\)
\(182\) −3.09342 3.83804i −0.229300 0.284495i
\(183\) −10.6060 16.4049i −0.784018 1.21269i
\(184\) −1.29747 + 2.24728i −0.0956506 + 0.165672i
\(185\) −2.38311 4.12768i −0.175210 0.303473i
\(186\) −1.55739 0.797534i −0.114194 0.0584780i
\(187\) 2.87884 + 1.66210i 0.210522 + 0.121545i
\(188\) −15.2710 −1.11375
\(189\) 13.4228 + 2.97130i 0.976364 + 0.216130i
\(190\) −18.7926 −1.36336
\(191\) −18.8494 10.8827i −1.36389 0.787444i −0.373754 0.927528i \(-0.621929\pi\)
−0.990140 + 0.140084i \(0.955263\pi\)
\(192\) −5.18014 2.65272i −0.373844 0.191444i
\(193\) 4.11469 + 7.12685i 0.296182 + 0.513002i 0.975259 0.221065i \(-0.0709532\pi\)
−0.679077 + 0.734067i \(0.737620\pi\)
\(194\) 12.5506 21.7383i 0.901082 1.56072i
\(195\) 1.22427 + 1.89365i 0.0876719 + 0.135607i
\(196\) 2.18769 10.0648i 0.156264 0.718915i
\(197\) 15.9358i 1.13538i −0.823243 0.567688i \(-0.807838\pi\)
0.823243 0.567688i \(-0.192162\pi\)
\(198\) 11.3514 + 15.7585i 0.806706 + 1.11991i
\(199\) −0.341956 + 0.197429i −0.0242406 + 0.0139953i −0.512071 0.858943i \(-0.671122\pi\)
0.487831 + 0.872938i \(0.337788\pi\)
\(200\) −2.81896 + 1.62753i −0.199331 + 0.115084i
\(201\) −0.332716 6.60618i −0.0234680 0.465964i
\(202\) 12.2855i 0.864402i
\(203\) −3.39489 1.31213i −0.238275 0.0920933i
\(204\) −2.04759 + 1.32379i −0.143360 + 0.0926841i
\(205\) 6.12320 10.6057i 0.427663 0.740734i
\(206\) 6.35497 + 11.0071i 0.442772 + 0.766903i
\(207\) 0.794190 + 7.86444i 0.0552000 + 0.546616i
\(208\) −4.13768 2.38889i −0.286896 0.165640i
\(209\) −26.9191 −1.86204
\(210\) −3.48072 + 10.5567i −0.240193 + 0.728479i
\(211\) 7.31164 0.503354 0.251677 0.967811i \(-0.419018\pi\)
0.251677 + 0.967811i \(0.419018\pi\)
\(212\) −5.74368 3.31611i −0.394477 0.227752i
\(213\) 13.0167 25.4184i 0.891887 1.74164i
\(214\) 2.11403 + 3.66160i 0.144512 + 0.250302i
\(215\) −3.94137 + 6.82665i −0.268799 + 0.465574i
\(216\) 5.05930 0.769637i 0.344242 0.0523671i
\(217\) −0.221154 1.41737i −0.0150129 0.0962171i
\(218\) 31.7602i 2.15107i
\(219\) 14.5948 0.735058i 0.986225 0.0496706i
\(220\) −5.76420 + 3.32796i −0.388622 + 0.224371i
\(221\) −0.828544 + 0.478360i −0.0557339 + 0.0321780i
\(222\) 11.7995 0.594274i 0.791930 0.0398851i
\(223\) 27.1756i 1.81982i −0.414811 0.909908i \(-0.636152\pi\)
0.414811 0.909908i \(-0.363848\pi\)
\(224\) −2.82750 18.1213i −0.188920 1.21078i
\(225\) −4.06978 + 9.04151i −0.271319 + 0.602767i
\(226\) −13.8961 + 24.0688i −0.924356 + 1.60103i
\(227\) −2.42421 4.19886i −0.160901 0.278688i 0.774291 0.632829i \(-0.218107\pi\)
−0.935192 + 0.354141i \(0.884773\pi\)
\(228\) 8.99976 17.5744i 0.596023 1.16389i
\(229\) −9.08471 5.24506i −0.600334 0.346603i 0.168839 0.985644i \(-0.445998\pi\)
−0.769173 + 0.639040i \(0.779332\pi\)
\(230\) −6.39112 −0.421418
\(231\) −4.98592 + 15.1218i −0.328049 + 0.994938i
\(232\) −1.35483 −0.0889492
\(233\) −13.1466 7.59021i −0.861264 0.497251i 0.00317138 0.999995i \(-0.498991\pi\)
−0.864435 + 0.502744i \(0.832324\pi\)
\(234\) −5.56123 + 0.561600i −0.363549 + 0.0367129i
\(235\) 6.75584 + 11.7015i 0.440702 + 0.763319i
\(236\) −2.32585 + 4.02849i −0.151400 + 0.262232i
\(237\) 0.0282395 0.0182572i 0.00183435 0.00118593i
\(238\) −4.39900 1.70022i −0.285145 0.110209i
\(239\) 15.7837i 1.02096i 0.859888 + 0.510482i \(0.170533\pi\)
−0.859888 + 0.510482i \(0.829467\pi\)
\(240\) 0.541919 + 10.7600i 0.0349807 + 0.694553i
\(241\) 12.1855 7.03531i 0.784938 0.453184i −0.0532395 0.998582i \(-0.516955\pi\)
0.838177 + 0.545398i \(0.183621\pi\)
\(242\) −1.73087 + 0.999317i −0.111264 + 0.0642385i
\(243\) 11.1345 10.9098i 0.714275 0.699865i
\(244\) 16.5951i 1.06239i
\(245\) −8.68004 + 2.77632i −0.554547 + 0.177372i
\(246\) 16.4812 + 25.4925i 1.05081 + 1.62534i
\(247\) 3.87373 6.70949i 0.246479 0.426915i
\(248\) −0.266995 0.462449i −0.0169542 0.0293656i
\(249\) −21.1217 10.8163i −1.33853 0.685457i
\(250\) −17.4462 10.0726i −1.10340 0.637046i
\(251\) −6.42266 −0.405395 −0.202697 0.979241i \(-0.564971\pi\)
−0.202697 + 0.979241i \(0.564971\pi\)
\(252\) −8.20544 8.31069i −0.516894 0.523524i
\(253\) −9.15487 −0.575562
\(254\) −4.70029 2.71372i −0.294923 0.170274i
\(255\) 1.92021 + 0.983331i 0.120248 + 0.0615786i
\(256\) −10.4436 18.0889i −0.652727 1.13056i
\(257\) 2.09925 3.63601i 0.130948 0.226808i −0.793094 0.609099i \(-0.791531\pi\)
0.924042 + 0.382291i \(0.124865\pi\)
\(258\) −10.6086 16.4089i −0.660463 1.02158i
\(259\) 6.07837 + 7.54150i 0.377691 + 0.468606i
\(260\) 1.91561i 0.118801i
\(261\) −3.34864 + 2.41214i −0.207276 + 0.149308i
\(262\) −1.08041 + 0.623775i −0.0667480 + 0.0385370i
\(263\) −14.9641 + 8.63952i −0.922725 + 0.532736i −0.884503 0.466534i \(-0.845503\pi\)
−0.0382217 + 0.999269i \(0.512169\pi\)
\(264\) 0.298135 + 5.91956i 0.0183489 + 0.364324i
\(265\) 5.86816i 0.360478i
\(266\) 37.7344 5.88776i 2.31364 0.361002i
\(267\) −2.46318 + 1.59248i −0.150744 + 0.0974581i
\(268\) −2.80958 + 4.86634i −0.171623 + 0.297259i
\(269\) 1.88950 + 3.27272i 0.115205 + 0.199541i 0.917862 0.396900i \(-0.129914\pi\)
−0.802657 + 0.596441i \(0.796581\pi\)
\(270\) 7.87193 + 9.84347i 0.479070 + 0.599055i
\(271\) −19.2185 11.0958i −1.16744 0.674023i −0.214366 0.976753i \(-0.568769\pi\)
−0.953076 + 0.302730i \(0.902102\pi\)
\(272\) −4.57100 −0.277157
\(273\) −3.05155 3.41877i −0.184688 0.206914i
\(274\) 15.9308 0.962416
\(275\) −9.94523 5.74188i −0.599720 0.346249i
\(276\) 3.06071 5.97683i 0.184233 0.359763i
\(277\) 15.8011 + 27.3683i 0.949396 + 1.64440i 0.746701 + 0.665160i \(0.231637\pi\)
0.202695 + 0.979242i \(0.435030\pi\)
\(278\) −18.0112 + 31.1963i −1.08024 + 1.87103i
\(279\) −1.48325 0.667645i −0.0888001 0.0399708i
\(280\) −2.64124 + 2.12881i −0.157844 + 0.127221i
\(281\) 27.1748i 1.62111i 0.585662 + 0.810555i \(0.300834\pi\)
−0.585662 + 0.810555i \(0.699166\pi\)
\(282\) −33.4501 + 1.68469i −1.99193 + 0.100322i
\(283\) 4.46882 2.58008i 0.265644 0.153370i −0.361262 0.932464i \(-0.617654\pi\)
0.626906 + 0.779095i \(0.284321\pi\)
\(284\) −21.0098 + 12.1300i −1.24670 + 0.719784i
\(285\) −17.4479 + 0.878754i −1.03353 + 0.0520529i
\(286\) 6.47373i 0.382800i
\(287\) −8.97224 + 23.2140i −0.529615 + 1.37028i
\(288\) −18.9637 8.53597i −1.11745 0.502987i
\(289\) 8.04234 13.9297i 0.473079 0.819397i
\(290\) −1.66842 2.88979i −0.0979732 0.169695i
\(291\) 10.6361 20.7698i 0.623499 1.21755i
\(292\) −10.7510 6.20711i −0.629156 0.363244i
\(293\) 29.2385 1.70813 0.854066 0.520164i \(-0.174129\pi\)
0.854066 + 0.520164i \(0.174129\pi\)
\(294\) 3.68166 22.2877i 0.214719 1.29985i
\(295\) 4.11580 0.239631
\(296\) 3.12254 + 1.80280i 0.181494 + 0.104786i
\(297\) 11.2760 + 14.1001i 0.654302 + 0.818173i
\(298\) 5.49449 + 9.51673i 0.318287 + 0.551289i
\(299\) 1.31741 2.28181i 0.0761876 0.131961i
\(300\) 7.07358 4.57317i 0.408393 0.264032i
\(301\) 5.77523 14.9424i 0.332879 0.861263i
\(302\) 16.5261i 0.950967i
\(303\) −0.574477 11.4064i −0.0330029 0.655282i
\(304\) 32.0565 18.5078i 1.83856 1.06150i
\(305\) 12.7161 7.34163i 0.728121 0.420381i
\(306\) −4.33907 + 3.12558i −0.248048 + 0.178677i
\(307\) 4.49689i 0.256651i −0.991732 0.128326i \(-0.959040\pi\)
0.991732 0.128326i \(-0.0409603\pi\)
\(308\) 10.5315 8.48830i 0.600089 0.483666i
\(309\) 6.41496 + 9.92239i 0.364935 + 0.564465i
\(310\) 0.657588 1.13898i 0.0373485 0.0646894i
\(311\) −0.646059 1.11901i −0.0366346 0.0634531i 0.847127 0.531391i \(-0.178330\pi\)
−0.883761 + 0.467938i \(0.844997\pi\)
\(312\) −1.51833 0.777530i −0.0859585 0.0440189i
\(313\) 2.75796 + 1.59231i 0.155889 + 0.0900025i 0.575915 0.817509i \(-0.304646\pi\)
−0.420026 + 0.907512i \(0.637979\pi\)
\(314\) −2.48541 −0.140260
\(315\) −2.73804 + 9.96409i −0.154271 + 0.561413i
\(316\) −0.0285669 −0.00160701
\(317\) 7.53152 + 4.34833i 0.423012 + 0.244226i 0.696365 0.717687i \(-0.254799\pi\)
−0.273353 + 0.961914i \(0.588133\pi\)
\(318\) −12.9470 6.63010i −0.726032 0.371798i
\(319\) −2.38991 4.13944i −0.133809 0.231764i
\(320\) 2.18724 3.78841i 0.122270 0.211779i
\(321\) 2.13398 + 3.30075i 0.119107 + 0.184230i
\(322\) 12.8330 2.00235i 0.715155 0.111587i
\(323\) 7.41214i 0.412423i
\(324\) −12.9753 + 2.64761i −0.720848 + 0.147090i
\(325\) 2.86228 1.65254i 0.158771 0.0916665i
\(326\) 32.5655 18.8017i 1.80363 1.04133i
\(327\) 1.48513 + 29.4878i 0.0821280 + 1.63068i
\(328\) 9.26426i 0.511533i
\(329\) −17.2314 21.3792i −0.949999 1.17867i
\(330\) −12.2590 + 7.92561i −0.674835 + 0.436291i
\(331\) 7.09976 12.2972i 0.390238 0.675913i −0.602242 0.798313i \(-0.705726\pi\)
0.992481 + 0.122401i \(0.0390593\pi\)
\(332\) 10.0796 + 17.4583i 0.553187 + 0.958149i
\(333\) 10.9274 1.10351i 0.598820 0.0604718i
\(334\) −3.07744 1.77676i −0.168390 0.0972202i
\(335\) 4.97181 0.271639
\(336\) −4.45927 21.4356i −0.243273 1.16941i
\(337\) 12.1072 0.659520 0.329760 0.944065i \(-0.393032\pi\)
0.329760 + 0.944065i \(0.393032\pi\)
\(338\) 1.61355 + 0.931585i 0.0877657 + 0.0506716i
\(339\) −11.7764 + 22.9964i −0.639604 + 1.24899i
\(340\) −0.916350 1.58716i −0.0496960 0.0860761i
\(341\) 0.941952 1.63151i 0.0510096 0.0883512i
\(342\) 17.7746 39.4885i 0.961141 2.13529i
\(343\) 16.5592 8.29416i 0.894112 0.447843i
\(344\) 5.96320i 0.321514i
\(345\) −5.93382 + 0.298853i −0.319466 + 0.0160897i
\(346\) −26.5310 + 15.3177i −1.42632 + 0.823485i
\(347\) 28.8243 16.6417i 1.54737 0.893373i 0.549027 0.835805i \(-0.314999\pi\)
0.998342 0.0575687i \(-0.0183348\pi\)
\(348\) 3.50148 0.176350i 0.187699 0.00945334i
\(349\) 18.2529i 0.977056i −0.872548 0.488528i \(-0.837534\pi\)
0.872548 0.488528i \(-0.162466\pi\)
\(350\) 15.1968 + 5.87356i 0.812302 + 0.313955i
\(351\) −5.13705 + 0.781464i −0.274196 + 0.0417115i
\(352\) 12.0430 20.8592i 0.641896 1.11180i
\(353\) 1.07945 + 1.86966i 0.0574534 + 0.0995122i 0.893322 0.449418i \(-0.148369\pi\)
−0.835868 + 0.548930i \(0.815035\pi\)
\(354\) −4.65021 + 9.08075i −0.247156 + 0.482637i
\(355\) 18.5894 + 10.7326i 0.986621 + 0.569626i
\(356\) 2.49174 0.132062
\(357\) −4.16375 1.37286i −0.220369 0.0726597i
\(358\) −7.63508 −0.403527
\(359\) −22.7538 13.1369i −1.20090 0.693341i −0.240146 0.970737i \(-0.577195\pi\)
−0.960756 + 0.277396i \(0.910529\pi\)
\(360\) 0.386479 + 3.82710i 0.0203692 + 0.201706i
\(361\) 20.5115 + 35.5270i 1.07955 + 1.86984i
\(362\) 9.21235 15.9563i 0.484190 0.838642i
\(363\) −1.56029 + 1.00875i −0.0818942 + 0.0529457i
\(364\) 0.600165 + 3.84643i 0.0314572 + 0.201608i
\(365\) 10.9840i 0.574931i
\(366\) 1.83077 + 36.3506i 0.0956961 + 1.90007i
\(367\) 2.53282 1.46232i 0.132212 0.0763327i −0.432435 0.901665i \(-0.642346\pi\)
0.564647 + 0.825332i \(0.309012\pi\)
\(368\) 10.9020 6.29428i 0.568306 0.328112i
\(369\) 16.4940 + 22.8978i 0.858645 + 1.19201i
\(370\) 8.88030i 0.461665i
\(371\) −1.83851 11.7829i −0.0954507 0.611739i
\(372\) 0.750226 + 1.16042i 0.0388974 + 0.0601648i
\(373\) −11.2076 + 19.4121i −0.580306 + 1.00512i 0.415137 + 0.909759i \(0.363734\pi\)
−0.995443 + 0.0953600i \(0.969600\pi\)
\(374\) −3.09678 5.36377i −0.160131 0.277354i
\(375\) −16.6689 8.53608i −0.860780 0.440801i
\(376\) −8.85201 5.11071i −0.456508 0.263565i
\(377\) 1.37565 0.0708498
\(378\) −18.8904 17.2988i −0.971615 0.889756i
\(379\) −30.2646 −1.55459 −0.777293 0.629139i \(-0.783408\pi\)
−0.777293 + 0.629139i \(0.783408\pi\)
\(380\) 12.8527 + 7.42053i 0.659332 + 0.380665i
\(381\) −4.49088 2.29976i −0.230075 0.117820i
\(382\) 20.2763 + 35.1196i 1.03743 + 1.79688i
\(383\) 1.51228 2.61935i 0.0772741 0.133843i −0.824799 0.565426i \(-0.808712\pi\)
0.902073 + 0.431584i \(0.142045\pi\)
\(384\) −7.15040 11.0599i −0.364892 0.564400i
\(385\) −11.1633 4.31463i −0.568936 0.219894i
\(386\) 15.3327i 0.780416i
\(387\) −10.6168 14.7388i −0.539685 0.749215i
\(388\) −17.1674 + 9.91161i −0.871543 + 0.503186i
\(389\) −1.39609 + 0.806033i −0.0707846 + 0.0408675i −0.534975 0.844868i \(-0.679679\pi\)
0.464190 + 0.885736i \(0.346345\pi\)
\(390\) −0.211330 4.19602i −0.0107011 0.212474i
\(391\) 2.52078i 0.127481i
\(392\) 4.63650 5.10205i 0.234179 0.257692i
\(393\) −0.973938 + 0.629664i −0.0491287 + 0.0317624i
\(394\) −14.8455 + 25.7132i −0.747907 + 1.29541i
\(395\) 0.0126379 + 0.0218895i 0.000635882 + 0.00110138i
\(396\) −1.54102 15.2599i −0.0774392 0.766840i
\(397\) 7.52852 + 4.34660i 0.377846 + 0.218149i 0.676881 0.736093i \(-0.263331\pi\)
−0.299035 + 0.954242i \(0.596665\pi\)
\(398\) 0.735686 0.0368766
\(399\) 34.7591 7.23097i 1.74013 0.362001i
\(400\) 15.7909 0.789547
\(401\) 22.2992 + 12.8744i 1.11357 + 0.642918i 0.939751 0.341860i \(-0.111057\pi\)
0.173816 + 0.984778i \(0.444390\pi\)
\(402\) −5.61736 + 10.9694i −0.280169 + 0.547103i
\(403\) 0.271098 + 0.469556i 0.0135044 + 0.0233902i
\(404\) −4.85111 + 8.40236i −0.241352 + 0.418033i
\(405\) 7.76897 + 8.77106i 0.386043 + 0.435838i
\(406\) 4.25548 + 5.27982i 0.211196 + 0.262033i
\(407\) 12.7205i 0.630530i
\(408\) −1.62994 + 0.0820910i −0.0806942 + 0.00406411i
\(409\) −18.8027 + 10.8557i −0.929732 + 0.536781i −0.886727 0.462294i \(-0.847026\pi\)
−0.0430050 + 0.999075i \(0.513693\pi\)
\(410\) −19.7602 + 11.4086i −0.975888 + 0.563429i
\(411\) 14.7909 0.744937i 0.729583 0.0367450i
\(412\) 10.0374i 0.494509i
\(413\) −8.26429 + 1.28949i −0.406659 + 0.0634517i
\(414\) 6.04493 13.4295i 0.297092 0.660026i
\(415\) 8.91834 15.4470i 0.437784 0.758264i
\(416\) 3.46604 + 6.00336i 0.169937 + 0.294339i
\(417\) −15.2637 + 29.8064i −0.747468 + 1.45963i
\(418\) 43.4354 + 25.0775i 2.12450 + 1.22658i
\(419\) −7.03963 −0.343908 −0.171954 0.985105i \(-0.555008\pi\)
−0.171954 + 0.985105i \(0.555008\pi\)
\(420\) 6.54903 5.84558i 0.319560 0.285235i
\(421\) −3.33312 −0.162446 −0.0812231 0.996696i \(-0.525883\pi\)
−0.0812231 + 0.996696i \(0.525883\pi\)
\(422\) −11.7977 6.81142i −0.574304 0.331575i
\(423\) −30.9780 + 3.12831i −1.50620 + 0.152103i
\(424\) −2.21960 3.84446i −0.107793 0.186703i
\(425\) 1.58102 2.73841i 0.0766907 0.132832i
\(426\) −44.6825 + 28.8879i −2.16487 + 1.39962i
\(427\) −23.2330 + 18.7256i −1.12432 + 0.906193i
\(428\) 3.33902i 0.161398i
\(429\) −0.302717 6.01053i −0.0146153 0.290191i
\(430\) 12.7192 7.34344i 0.613375 0.354132i
\(431\) 31.4183 18.1394i 1.51337 0.873743i 0.513490 0.858096i \(-0.328352\pi\)
0.999878 0.0156476i \(-0.00498098\pi\)
\(432\) −23.1223 9.03841i −1.11247 0.434860i
\(433\) 30.5146i 1.46644i 0.679993 + 0.733219i \(0.261983\pi\)
−0.679993 + 0.733219i \(0.738017\pi\)
\(434\) −0.963554 + 2.49302i −0.0462521 + 0.119669i
\(435\) −1.68417 2.60501i −0.0807500 0.124901i
\(436\) 12.5410 21.7217i 0.600606 1.04028i
\(437\) 10.2065 + 17.6782i 0.488245 + 0.845665i
\(438\) −24.2342 12.4102i −1.15796 0.592984i
\(439\) −8.59972 4.96505i −0.410442 0.236969i 0.280538 0.959843i \(-0.409487\pi\)
−0.690980 + 0.722874i \(0.742821\pi\)
\(440\) −4.45506 −0.212387
\(441\) 2.37604 20.8651i 0.113145 0.993578i
\(442\) 1.78253 0.0847864
\(443\) 27.5184 + 15.8877i 1.30744 + 0.754849i 0.981668 0.190600i \(-0.0610434\pi\)
0.325769 + 0.945449i \(0.394377\pi\)
\(444\) −8.30466 4.25277i −0.394121 0.201828i
\(445\) −1.10234 1.90931i −0.0522558 0.0905098i
\(446\) −25.3164 + 43.8493i −1.19877 + 2.07633i
\(447\) 5.54636 + 8.57887i 0.262334 + 0.405767i
\(448\) −3.20493 + 8.29218i −0.151419 + 0.391769i
\(449\) 40.0170i 1.88852i −0.329204 0.944259i \(-0.606780\pi\)
0.329204 0.944259i \(-0.393220\pi\)
\(450\) 14.9897 10.7976i 0.706623 0.509004i
\(451\) −28.3053 + 16.3420i −1.33284 + 0.769517i
\(452\) 19.0079 10.9742i 0.894054 0.516183i
\(453\) −0.772770 15.3436i −0.0363079 0.720905i
\(454\) 9.03345i 0.423961i
\(455\) 2.68183 2.16153i 0.125726 0.101334i
\(456\) 11.0984 7.17528i 0.519731 0.336013i
\(457\) 5.31734 9.20991i 0.248735 0.430821i −0.714440 0.699697i \(-0.753319\pi\)
0.963175 + 0.268875i \(0.0866519\pi\)
\(458\) 9.77244 + 16.9264i 0.456636 + 0.790917i
\(459\) −3.88245 + 3.10484i −0.181217 + 0.144921i
\(460\) 4.37106 + 2.52363i 0.203802 + 0.117665i
\(461\) −22.4080 −1.04364 −0.521822 0.853054i \(-0.674747\pi\)
−0.521822 + 0.853054i \(0.674747\pi\)
\(462\) 22.1322 19.7549i 1.02968 0.919083i
\(463\) 22.7448 1.05704 0.528521 0.848921i \(-0.322747\pi\)
0.528521 + 0.848921i \(0.322747\pi\)
\(464\) 5.69201 + 3.28628i 0.264245 + 0.152562i
\(465\) 0.557277 1.08823i 0.0258431 0.0504654i
\(466\) 14.1418 + 24.4944i 0.655108 + 1.13468i
\(467\) 3.82865 6.63141i 0.177169 0.306865i −0.763741 0.645523i \(-0.776640\pi\)
0.940910 + 0.338658i \(0.109973\pi\)
\(468\) 4.02523 + 1.81184i 0.186066 + 0.0837525i
\(469\) −9.98311 + 1.55768i −0.460977 + 0.0719270i
\(470\) 25.1745i 1.16122i
\(471\) −2.30758 + 0.116220i −0.106328 + 0.00535513i
\(472\) −2.69642 + 1.55678i −0.124113 + 0.0716565i
\(473\) 18.2195 10.5190i 0.837732 0.483665i
\(474\) −0.0625740 + 0.00315150i −0.00287412 + 0.000144753i
\(475\) 25.6060i 1.17488i
\(476\) 2.33724 + 2.89984i 0.107127 + 0.132914i
\(477\) −12.3307 5.55030i −0.564582 0.254131i
\(478\) 14.7039 25.4679i 0.672540 1.16487i
\(479\) −11.7971 20.4332i −0.539024 0.933617i −0.998957 0.0456635i \(-0.985460\pi\)
0.459933 0.887954i \(-0.347874\pi\)
\(480\) 7.12490 13.9132i 0.325205 0.635049i
\(481\) −3.17052 1.83050i −0.144563 0.0834637i
\(482\) −26.2160 −1.19410
\(483\) 11.8211 2.45916i 0.537881 0.111896i
\(484\) 1.57838 0.0717447
\(485\) 15.1896 + 8.76974i 0.689726 + 0.398214i
\(486\) −28.1294 + 7.23087i −1.27598 + 0.327999i
\(487\) −13.9941 24.2384i −0.634132 1.09835i −0.986698 0.162561i \(-0.948024\pi\)
0.352567 0.935787i \(-0.385309\pi\)
\(488\) −5.55386 + 9.61957i −0.251411 + 0.435457i
\(489\) 29.3562 18.9792i 1.32753 0.858268i
\(490\) 16.5921 + 3.60647i 0.749554 + 0.162923i
\(491\) 0.562924i 0.0254044i 0.999919 + 0.0127022i \(0.00404335\pi\)
−0.999919 + 0.0127022i \(0.995957\pi\)
\(492\) −1.20587 23.9429i −0.0543647 1.07943i
\(493\) 1.13979 0.658058i 0.0513336 0.0296374i
\(494\) −12.5009 + 7.21741i −0.562443 + 0.324727i
\(495\) −11.0112 + 7.93176i −0.494919 + 0.356506i
\(496\) 2.59049i 0.116317i
\(497\) −40.6889 15.7263i −1.82515 0.705420i
\(498\) 24.0047 + 37.1294i 1.07567 + 1.66381i
\(499\) −0.624553 + 1.08176i −0.0279589 + 0.0484262i −0.879666 0.475591i \(-0.842234\pi\)
0.851707 + 0.524018i \(0.175567\pi\)
\(500\) 7.95463 + 13.7778i 0.355742 + 0.616163i
\(501\) −2.94033 1.50573i −0.131364 0.0672711i
\(502\) 10.3633 + 5.98325i 0.462537 + 0.267046i
\(503\) 9.12488 0.406858 0.203429 0.979090i \(-0.434791\pi\)
0.203429 + 0.979090i \(0.434791\pi\)
\(504\) −1.97507 7.56350i −0.0879765 0.336905i
\(505\) 8.58447 0.382004
\(506\) 14.7719 + 8.52854i 0.656689 + 0.379140i
\(507\) 1.54166 + 0.789478i 0.0684676 + 0.0350620i
\(508\) 2.14311 + 3.71197i 0.0950849 + 0.164692i
\(509\) −6.29994 + 10.9118i −0.279240 + 0.483658i −0.971196 0.238282i \(-0.923416\pi\)
0.691956 + 0.721939i \(0.256749\pi\)
\(510\) −2.18231 3.37550i −0.0966341 0.149469i
\(511\) −3.44133 22.0553i −0.152235 0.975670i
\(512\) 23.7090i 1.04780i
\(513\) 14.6563 37.4942i 0.647092 1.65541i
\(514\) −6.77451 + 3.91126i −0.298811 + 0.172518i
\(515\) −7.69123 + 4.44053i −0.338916 + 0.195673i
\(516\) 0.776191 + 15.4115i 0.0341699 + 0.678453i
\(517\) 36.0609i 1.58596i
\(518\) −2.78222 17.8311i −0.122244 0.783455i
\(519\) −23.9165 + 15.4623i −1.04982 + 0.678721i
\(520\) 0.641093 1.11041i 0.0281138 0.0486945i
\(521\) −4.24345 7.34987i −0.185909 0.322004i 0.757974 0.652285i \(-0.226190\pi\)
−0.943882 + 0.330282i \(0.892856\pi\)
\(522\) 7.65032 0.772567i 0.334845 0.0338143i
\(523\) 13.8668 + 8.00601i 0.606354 + 0.350078i 0.771537 0.636184i \(-0.219488\pi\)
−0.165183 + 0.986263i \(0.552822\pi\)
\(524\) 0.985230 0.0430400
\(525\) 14.3841 + 4.74269i 0.627773 + 0.206988i
\(526\) 32.1938 1.40372
\(527\) 0.449234 + 0.259365i 0.0195689 + 0.0112981i
\(528\) 13.1059 25.5928i 0.570363 1.11378i
\(529\) −8.02888 13.9064i −0.349082 0.604627i
\(530\) 5.46669 9.46859i 0.237458 0.411289i
\(531\) −3.89286 + 8.64846i −0.168936 + 0.375311i
\(532\) −28.1324 10.8732i −1.21970 0.471413i
\(533\) 9.40663i 0.407446i
\(534\) 5.45800 0.274889i 0.236191 0.0118956i
\(535\) −2.55854 + 1.47718i −0.110615 + 0.0638639i
\(536\) −3.25722 + 1.88056i −0.140691 + 0.0812277i
\(537\) −7.08879 + 0.357022i −0.305904 + 0.0154066i
\(538\) 7.04093i 0.303556i
\(539\) 23.7671 + 5.16603i 1.02372 + 0.222517i
\(540\) −1.49698 9.84057i −0.0644196 0.423471i
\(541\) −6.56009 + 11.3624i −0.282040 + 0.488508i −0.971887 0.235447i \(-0.924344\pi\)
0.689847 + 0.723955i \(0.257678\pi\)
\(542\) 20.6734 + 35.8074i 0.887999 + 1.53806i
\(543\) 7.80707 15.2453i 0.335033 0.654240i
\(544\) 5.74354 + 3.31603i 0.246252 + 0.142174i
\(545\) −22.1925 −0.950621
\(546\) 1.73896 + 8.35916i 0.0744207 + 0.357739i
\(547\) −10.2040 −0.436293 −0.218147 0.975916i \(-0.570001\pi\)
−0.218147 + 0.975916i \(0.570001\pi\)
\(548\) −10.8955 6.29053i −0.465433 0.268718i
\(549\) 3.39956 + 33.6640i 0.145090 + 1.43675i
\(550\) 10.6981 + 18.5297i 0.456169 + 0.790108i
\(551\) −5.32890 + 9.22993i −0.227019 + 0.393208i
\(552\) 3.77444 2.44023i 0.160651 0.103863i
\(553\) −0.0322342 0.0399934i −0.00137074 0.00170069i
\(554\) 58.8803i 2.50158i
\(555\) 0.415249 + 8.24490i 0.0176264 + 0.349977i
\(556\) 24.6367 14.2240i 1.04483 0.603233i
\(557\) 5.48064 3.16425i 0.232222 0.134074i −0.379375 0.925243i \(-0.623861\pi\)
0.611597 + 0.791170i \(0.290527\pi\)
\(558\) 1.77134 + 2.45906i 0.0749868 + 0.104100i
\(559\) 6.05484i 0.256092i
\(560\) 16.2602 2.53711i 0.687119 0.107212i
\(561\) −3.12601 4.83518i −0.131980 0.204142i
\(562\) 25.3156 43.8479i 1.06787 1.84961i
\(563\) −5.14937 8.91897i −0.217020 0.375890i 0.736875 0.676029i \(-0.236300\pi\)
−0.953896 + 0.300139i \(0.902967\pi\)
\(564\) 23.5427 + 12.0561i 0.991326 + 0.507653i
\(565\) −16.8181 9.70991i −0.707541 0.408499i
\(566\) −9.61425 −0.404117
\(567\) −18.3476 15.1777i −0.770529 0.637406i
\(568\) −16.2381 −0.681337
\(569\) 19.0928 + 11.0232i 0.800410 + 0.462117i 0.843615 0.536949i \(-0.180423\pi\)
−0.0432043 + 0.999066i \(0.513757\pi\)
\(570\) 28.9718 + 14.8363i 1.21349 + 0.621425i
\(571\) −5.40225 9.35697i −0.226077 0.391577i 0.730565 0.682843i \(-0.239257\pi\)
−0.956642 + 0.291266i \(0.905923\pi\)
\(572\) −2.55625 + 4.42756i −0.106882 + 0.185126i
\(573\) 20.4677 + 31.6586i 0.855052 + 1.32256i
\(574\) 36.1030 29.0987i 1.50691 1.21456i
\(575\) 8.70827i 0.363160i
\(576\) 5.89176 + 8.17921i 0.245490 + 0.340800i
\(577\) −26.0649 + 15.0486i −1.08509 + 0.626480i −0.932266 0.361773i \(-0.882172\pi\)
−0.152829 + 0.988253i \(0.548838\pi\)
\(578\) −25.9535 + 14.9843i −1.07952 + 0.623263i
\(579\) −0.716970 14.2357i −0.0297963 0.591614i
\(580\) 2.63521i 0.109421i
\(581\) −13.0679 + 33.8109i −0.542149 + 1.40271i
\(582\) −36.5107 + 23.6047i −1.51342 + 0.978446i
\(583\) 7.83069 13.5632i 0.324314 0.561728i
\(584\) −4.15465 7.19606i −0.171921 0.297775i
\(585\) −0.392418 3.88591i −0.0162245 0.160663i
\(586\) −47.1779 27.2382i −1.94890 1.12520i
\(587\) −15.0550 −0.621385 −0.310693 0.950510i \(-0.600561\pi\)
−0.310693 + 0.950510i \(0.600561\pi\)
\(588\) −11.3186 + 13.7894i −0.466773 + 0.568666i
\(589\) −4.20064 −0.173084
\(590\) −6.64106 3.83422i −0.273408 0.157852i
\(591\) −12.5809 + 24.5676i −0.517511 + 1.01058i
\(592\) −8.74574 15.1481i −0.359448 0.622582i
\(593\) −4.89393 + 8.47653i −0.200969 + 0.348089i −0.948841 0.315754i \(-0.897743\pi\)
0.747872 + 0.663843i \(0.231076\pi\)
\(594\) −5.05899 33.2559i −0.207573 1.36451i
\(595\) 1.18803 3.07380i 0.0487044 0.126014i
\(596\) 8.67833i 0.355478i
\(597\) 0.683047 0.0344012i 0.0279552 0.00140795i
\(598\) −4.25141 + 2.45455i −0.173853 + 0.100374i
\(599\) −17.6231 + 10.1747i −0.720062 + 0.415728i −0.814775 0.579777i \(-0.803140\pi\)
0.0947136 + 0.995505i \(0.469806\pi\)
\(600\) 5.63079 0.283591i 0.229876 0.0115776i
\(601\) 4.67290i 0.190612i 0.995448 + 0.0953058i \(0.0303829\pi\)
−0.995448 + 0.0953058i \(0.969617\pi\)
\(602\) −23.2387 + 18.7302i −0.947140 + 0.763385i
\(603\) −4.70250 + 10.4472i −0.191501 + 0.425442i
\(604\) −6.52557 + 11.3026i −0.265522 + 0.459897i
\(605\) −0.698273 1.20944i −0.0283888 0.0491709i
\(606\) −9.69910 + 18.9400i −0.393999 + 0.769386i
\(607\) 40.5639 + 23.4196i 1.64644 + 0.950572i 0.978472 + 0.206381i \(0.0661686\pi\)
0.667967 + 0.744191i \(0.267165\pi\)
\(608\) −53.7060 −2.17807
\(609\) 4.19788 + 4.70305i 0.170107 + 0.190577i
\(610\) −27.3574 −1.10767
\(611\) 8.98805 + 5.18925i 0.363617 + 0.209935i
\(612\) 4.20179 0.424318i 0.169847 0.0171520i
\(613\) −16.8531 29.1904i −0.680690 1.17899i −0.974771 0.223209i \(-0.928347\pi\)
0.294080 0.955781i \(-0.404987\pi\)
\(614\) −4.18924 + 7.25597i −0.169064 + 0.292827i
\(615\) −17.8129 + 11.5163i −0.718285 + 0.464381i
\(616\) 8.94550 1.39578i 0.360425 0.0562377i
\(617\) 44.3597i 1.78585i 0.450202 + 0.892927i \(0.351352\pi\)
−0.450202 + 0.892927i \(0.648648\pi\)
\(618\) −1.10733 21.9864i −0.0445434 0.884422i
\(619\) 30.1275 17.3941i 1.21093 0.699130i 0.247967 0.968769i \(-0.420238\pi\)
0.962962 + 0.269639i \(0.0869043\pi\)
\(620\) −0.899484 + 0.519317i −0.0361242 + 0.0208563i
\(621\) 4.98443 12.7513i 0.200018 0.511692i
\(622\) 2.40744i 0.0965294i
\(623\) 2.81162 + 3.48841i 0.112645 + 0.139760i
\(624\) 4.49293 + 6.94947i 0.179861 + 0.278201i
\(625\) −1.22448 + 2.12087i −0.0489793 + 0.0848346i
\(626\) −2.96674 5.13854i −0.118575 0.205377i
\(627\) 41.5002 + 21.2521i 1.65736 + 0.848726i
\(628\) 1.69984 + 0.981404i 0.0678311 + 0.0391623i
\(629\) −3.50256 −0.139656
\(630\) 13.7004 13.5269i 0.545836 0.538923i
\(631\) 23.6044 0.939676 0.469838 0.882753i \(-0.344312\pi\)
0.469838 + 0.882753i \(0.344312\pi\)
\(632\) −0.0165592 0.00956043i −0.000658688 0.000380294i
\(633\) −11.2721 5.77238i −0.448025 0.229432i
\(634\) −8.10167 14.0325i −0.321759 0.557302i
\(635\) 1.89621 3.28433i 0.0752488 0.130335i
\(636\) 6.23681 + 9.64684i 0.247306 + 0.382522i
\(637\) −4.70775 + 5.18045i −0.186528 + 0.205257i
\(638\) 8.90562i 0.352577i
\(639\) −40.1346 + 28.9103i −1.58770 + 1.14367i
\(640\) 8.57299 4.94962i 0.338877 0.195651i
\(641\) 27.8316 16.0686i 1.09928 0.634671i 0.163250 0.986585i \(-0.447802\pi\)
0.936032 + 0.351914i \(0.114469\pi\)
\(642\) −0.368361 7.31393i −0.0145381 0.288658i
\(643\) 18.7359i 0.738874i −0.929256 0.369437i \(-0.879551\pi\)
0.929256 0.369437i \(-0.120449\pi\)
\(644\) −9.56749 3.69784i −0.377012 0.145715i
\(645\) 11.4658 7.41277i 0.451464 0.291878i
\(646\) −6.90504 + 11.9599i −0.271675 + 0.470555i
\(647\) −20.4106 35.3521i −0.802422 1.38984i −0.918018 0.396539i \(-0.870211\pi\)
0.115596 0.993296i \(-0.463122\pi\)
\(648\) −8.40735 2.80769i −0.330272 0.110297i
\(649\) −9.51290 5.49227i −0.373414 0.215591i
\(650\) −6.15793 −0.241534
\(651\) −0.778035 + 2.35970i −0.0304936 + 0.0924839i
\(652\) −29.6965 −1.16301
\(653\) 13.5824 + 7.84181i 0.531521 + 0.306874i 0.741636 0.670803i \(-0.234050\pi\)
−0.210115 + 0.977677i \(0.567384\pi\)
\(654\) 25.0740 48.9636i 0.980472 1.91463i
\(655\) −0.435863 0.754937i −0.0170306 0.0294978i
\(656\) 22.4714 38.9216i 0.877361 1.51963i
\(657\) −23.0806 10.3891i −0.900459 0.405316i
\(658\) 7.88725 + 50.5490i 0.307477 + 1.97061i
\(659\) 27.4350i 1.06872i −0.845258 0.534359i \(-0.820553\pi\)
0.845258 0.534359i \(-0.179447\pi\)
\(660\) 11.5138 0.579886i 0.448174 0.0225720i
\(661\) −38.6444 + 22.3113i −1.50309 + 0.867810i −0.503098 + 0.864230i \(0.667806\pi\)
−0.999994 + 0.00358060i \(0.998860\pi\)
\(662\) −22.9117 + 13.2281i −0.890488 + 0.514124i
\(663\) 1.65499 0.0833526i 0.0642745 0.00323715i
\(664\) 13.4932i 0.523639i
\(665\) 4.11407 + 26.3669i 0.159537 + 1.02246i
\(666\) −18.6600 8.39927i −0.723061 0.325465i
\(667\) −1.81229 + 3.13899i −0.0701723 + 0.121542i
\(668\) 1.40317 + 2.43035i 0.0542901 + 0.0940332i
\(669\) −21.4546 + 41.8957i −0.829482 + 1.61978i
\(670\) −8.02228 4.63166i −0.309928 0.178937i
\(671\) −39.1878 −1.51283
\(672\) −9.94733 + 30.1692i −0.383727 + 1.16380i
\(673\) 22.0724 0.850828 0.425414 0.904999i \(-0.360129\pi\)
0.425414 + 0.904999i \(0.360129\pi\)
\(674\) −19.5356 11.2789i −0.752482 0.434446i
\(675\) 13.4123 10.7260i 0.516240 0.412842i
\(676\) −0.735702 1.27427i −0.0282962 0.0490105i
\(677\) 11.3690 19.6917i 0.436947 0.756814i −0.560505 0.828151i \(-0.689393\pi\)
0.997452 + 0.0713366i \(0.0227265\pi\)
\(678\) 40.4249 26.1353i 1.55251 1.00372i
\(679\) −33.2475 12.8502i −1.27592 0.493145i
\(680\) 1.22669i 0.0470416i
\(681\) 0.422411 + 8.38710i 0.0161868 + 0.321394i
\(682\) −3.03978 + 1.75502i −0.116399 + 0.0672031i
\(683\) 14.1921 8.19382i 0.543046 0.313528i −0.203267 0.979123i \(-0.565156\pi\)
0.746312 + 0.665596i \(0.231822\pi\)
\(684\) −27.7492 + 19.9887i −1.06102 + 0.764285i
\(685\) 11.1317i 0.425319i
\(686\) −34.4459 2.04323i −1.31515 0.0780109i
\(687\) 9.86470 + 15.2583i 0.376362 + 0.582140i
\(688\) −14.4643 + 25.0530i −0.551448 + 0.955136i
\(689\) 2.25371 + 3.90354i 0.0858594 + 0.148713i
\(690\) 9.85295 + 5.04565i 0.375095 + 0.192085i
\(691\) 17.7667 + 10.2576i 0.675878 + 0.390219i 0.798300 0.602260i \(-0.205733\pi\)
−0.122422 + 0.992478i \(0.539066\pi\)
\(692\) 24.1937 0.919708
\(693\) 19.6249 19.3764i 0.745488 0.736048i
\(694\) −62.0127 −2.35397
\(695\) −21.7984 12.5853i −0.826862 0.477389i
\(696\) 2.08870 + 1.06961i 0.0791718 + 0.0405435i
\(697\) −4.49976 7.79381i −0.170440 0.295212i
\(698\) −17.0041 + 29.4520i −0.643617 + 1.11478i
\(699\) 14.2754 + 22.0805i 0.539944 + 0.835162i
\(700\) −8.07422 10.0178i −0.305177 0.378636i
\(701\) 2.09798i 0.0792395i 0.999215 + 0.0396197i \(0.0126147\pi\)
−0.999215 + 0.0396197i \(0.987385\pi\)
\(702\) 9.01691 + 3.52467i 0.340321 + 0.133030i
\(703\) 24.5635 14.1817i 0.926429 0.534874i
\(704\) −10.1108 + 5.83746i −0.381064 + 0.220008i
\(705\) −1.17718 23.3733i −0.0443352 0.880289i
\(706\) 4.02240i 0.151385i
\(707\) −17.2371 + 2.68954i −0.648268 + 0.101150i
\(708\) 6.76608 4.37437i 0.254285 0.164399i
\(709\) −18.7002 + 32.3897i −0.702300 + 1.21642i 0.265357 + 0.964150i \(0.414510\pi\)
−0.967657 + 0.252269i \(0.918823\pi\)
\(710\) −19.9966 34.6351i −0.750459 1.29983i
\(711\) −0.0579494 + 0.00585201i −0.00217327 + 0.000219468i
\(712\) 1.44437 + 0.833906i 0.0541300 + 0.0312520i
\(713\) −1.42859 −0.0535010
\(714\) 5.43949 + 6.09408i 0.203568 + 0.228065i
\(715\) 4.52352 0.169170
\(716\) 5.22184 + 3.01483i 0.195149 + 0.112670i
\(717\) 12.4609 24.3332i 0.465361 0.908740i
\(718\) 24.4763 + 42.3943i 0.913449 + 1.58214i
\(719\) −1.74183 + 3.01694i −0.0649594 + 0.112513i −0.896676 0.442687i \(-0.854025\pi\)
0.831717 + 0.555200i \(0.187358\pi\)
\(720\) 7.65930 17.0161i 0.285445 0.634152i
\(721\) 14.0523 11.3260i 0.523336 0.421803i
\(722\) 76.4328i 2.84453i
\(723\) −24.3402 + 1.22588i −0.905221 + 0.0455909i
\(724\) −12.6012 + 7.27528i −0.468318 + 0.270384i
\(725\) −3.93751 + 2.27332i −0.146236 + 0.0844291i
\(726\) 3.45735 0.174127i 0.128314 0.00646248i
\(727\) 1.79727i 0.0666572i −0.999444 0.0333286i \(-0.989389\pi\)
0.999444 0.0333286i \(-0.0106108\pi\)
\(728\) −0.939385 + 2.43049i −0.0348159 + 0.0900799i
\(729\) −25.7786 + 8.02884i −0.954764 + 0.297365i
\(730\) 10.2326 17.7233i 0.378724 0.655970i
\(731\) 2.89639 + 5.01670i 0.107127 + 0.185549i
\(732\) 13.1015 25.5841i 0.484244 0.945614i
\(733\) −21.2295 12.2569i −0.784129 0.452717i 0.0537623 0.998554i \(-0.482879\pi\)
−0.837892 + 0.545836i \(0.816212\pi\)
\(734\) −5.44911 −0.201130
\(735\) 15.5735 + 2.57256i 0.574439 + 0.0948903i
\(736\) −18.2647 −0.673247
\(737\) −11.4914 6.63456i −0.423291 0.244387i
\(738\) −5.28276 52.3124i −0.194461 1.92565i
\(739\) 20.0212 + 34.6777i 0.736492 + 1.27564i 0.954066 + 0.299597i \(0.0968523\pi\)
−0.217574 + 0.976044i \(0.569814\pi\)
\(740\) 3.50652 6.07348i 0.128902 0.223265i
\(741\) −11.2690 + 7.28555i −0.413976 + 0.267641i
\(742\) −8.01027 + 20.7251i −0.294066 + 0.760843i
\(743\) 31.6827i 1.16233i 0.813787 + 0.581163i \(0.197402\pi\)
−0.813787 + 0.581163i \(0.802598\pi\)
\(744\) 0.0465230 + 0.923728i 0.00170561 + 0.0338655i
\(745\) −6.64982 + 3.83927i −0.243630 + 0.140660i
\(746\) 36.1680 20.8816i 1.32420 0.764530i
\(747\) 24.0233 + 33.3502i 0.878966 + 1.22022i
\(748\) 4.89124i 0.178842i
\(749\) 4.67460 3.76768i 0.170806 0.137668i
\(750\) 18.9441 + 29.3019i 0.691741 + 1.06996i
\(751\) −5.38435 + 9.32596i −0.196478 + 0.340309i −0.947384 0.320100i \(-0.896284\pi\)
0.750906 + 0.660409i \(0.229617\pi\)
\(752\) 24.7931 + 42.9429i 0.904111 + 1.56597i
\(753\) 9.90157 + 5.07055i 0.360833 + 0.184781i
\(754\) −2.21969 1.28154i −0.0808363 0.0466709i
\(755\) 11.5476 0.420260
\(756\) 6.08892 + 19.2903i 0.221452 + 0.701581i
\(757\) 20.2177 0.734823 0.367412 0.930058i \(-0.380244\pi\)
0.367412 + 0.930058i \(0.380244\pi\)
\(758\) 48.8335 + 28.1940i 1.77371 + 1.02405i
\(759\) 14.1137 + 7.22757i 0.512296 + 0.262344i
\(760\) 4.96684 + 8.60282i 0.180166 + 0.312057i
\(761\) 9.72745 16.8484i 0.352620 0.610756i −0.634088 0.773261i \(-0.718624\pi\)
0.986708 + 0.162506i \(0.0519575\pi\)
\(762\) 5.10385 + 7.89441i 0.184893 + 0.285984i
\(763\) 44.5612 6.95296i 1.61322 0.251714i
\(764\) 32.0257i 1.15865i
\(765\) −2.18400 3.03193i −0.0789627 0.109620i
\(766\) −4.88030 + 2.81764i −0.176332 + 0.101806i
\(767\) 2.73786 1.58070i 0.0988582 0.0570758i
\(768\) 1.81976 + 36.1320i 0.0656651 + 1.30380i
\(769\) 10.8279i 0.390463i −0.980757 0.195231i \(-0.937454\pi\)
0.980757 0.195231i \(-0.0625458\pi\)
\(770\) 13.9932 + 17.3615i 0.504279 + 0.625664i
\(771\) −6.10689 + 3.94819i −0.219934 + 0.142191i
\(772\) −6.05437 + 10.4865i −0.217902 + 0.377416i
\(773\) 16.2689 + 28.1786i 0.585152 + 1.01351i 0.994856 + 0.101295i \(0.0322986\pi\)
−0.409704 + 0.912218i \(0.634368\pi\)
\(774\) 3.40040 + 33.6723i 0.122225 + 1.21033i
\(775\) −1.55192 0.896001i −0.0557466 0.0321853i
\(776\) −13.2684