Properties

Label 273.2.cg.a.115.6
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.6
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.a.19.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.562494 - 0.150720i) q^{2} +1.00000i q^{3} +(-1.43837 + 0.830442i) q^{4} +(-0.672922 - 0.180309i) q^{5} +(0.150720 + 0.562494i) q^{6} +(-2.49458 + 0.881516i) q^{7} +(-1.50746 + 1.50746i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.562494 - 0.150720i) q^{2} +1.00000i q^{3} +(-1.43837 + 0.830442i) q^{4} +(-0.672922 - 0.180309i) q^{5} +(0.150720 + 0.562494i) q^{6} +(-2.49458 + 0.881516i) q^{7} +(-1.50746 + 1.50746i) q^{8} -1.00000 q^{9} -0.405691 q^{10} +(-0.628957 + 0.628957i) q^{11} +(-0.830442 - 1.43837i) q^{12} +(-0.659853 + 3.54466i) q^{13} +(-1.27033 + 0.871831i) q^{14} +(0.180309 - 0.672922i) q^{15} +(1.04015 - 1.80159i) q^{16} +(-0.0230331 - 0.0398944i) q^{17} +(-0.562494 + 0.150720i) q^{18} +(-0.617410 + 0.617410i) q^{19} +(1.11765 - 0.299472i) q^{20} +(-0.881516 - 2.49458i) q^{21} +(-0.258989 + 0.448581i) q^{22} +(2.76363 + 1.59558i) q^{23} +(-1.50746 - 1.50746i) q^{24} +(-3.90981 - 2.25733i) q^{25} +(0.163087 + 2.09330i) q^{26} -1.00000i q^{27} +(2.85607 - 3.33955i) q^{28} +(4.08244 + 7.07099i) q^{29} -0.405691i q^{30} +(1.04511 + 3.90039i) q^{31} +(1.41708 - 5.28861i) q^{32} +(-0.628957 - 0.628957i) q^{33} +(-0.0189689 - 0.0189689i) q^{34} +(1.83760 - 0.143397i) q^{35} +(1.43837 - 0.830442i) q^{36} +(-1.82246 - 6.80150i) q^{37} +(-0.254234 + 0.440346i) q^{38} +(-3.54466 - 0.659853i) q^{39} +(1.28621 - 0.742594i) q^{40} +(8.56284 + 2.29441i) q^{41} +(-0.871831 - 1.27033i) q^{42} +(1.29226 + 0.746085i) q^{43} +(0.382359 - 1.42698i) q^{44} +(0.672922 + 0.180309i) q^{45} +(1.79501 + 0.480971i) q^{46} +(-3.24985 + 12.1286i) q^{47} +(1.80159 + 1.04015i) q^{48} +(5.44586 - 4.39802i) q^{49} +(-2.53947 - 0.680450i) q^{50} +(0.0398944 - 0.0230331i) q^{51} +(-1.99452 - 5.64649i) q^{52} +(4.89224 - 8.47362i) q^{53} +(-0.150720 - 0.562494i) q^{54} +(0.536646 - 0.309833i) q^{55} +(2.43163 - 5.08932i) q^{56} +(-0.617410 - 0.617410i) q^{57} +(3.36209 + 3.36209i) q^{58} +(-2.28980 + 8.54567i) q^{59} +(0.299472 + 1.11765i) q^{60} -1.01326i q^{61} +(1.17573 + 2.03643i) q^{62} +(2.49458 - 0.881516i) q^{63} +0.972206i q^{64} +(1.08316 - 2.26630i) q^{65} +(-0.448581 - 0.258989i) q^{66} +(-1.77192 - 1.77192i) q^{67} +(0.0662600 + 0.0382552i) q^{68} +(-1.59558 + 2.76363i) q^{69} +(1.01203 - 0.357623i) q^{70} +(-0.798336 + 0.213913i) q^{71} +(1.50746 - 1.50746i) q^{72} +(-15.2725 + 4.09226i) q^{73} +(-2.05024 - 3.55112i) q^{74} +(2.25733 - 3.90981i) q^{75} +(0.375340 - 1.40079i) q^{76} +(1.01455 - 2.12342i) q^{77} +(-2.09330 + 0.163087i) q^{78} +(-4.73655 - 8.20394i) q^{79} +(-1.02478 + 1.02478i) q^{80} +1.00000 q^{81} +5.16236 q^{82} +(3.50364 - 3.50364i) q^{83} +(3.33955 + 2.85607i) q^{84} +(0.00830614 + 0.0309989i) q^{85} +(0.839337 + 0.224900i) q^{86} +(-7.07099 + 4.08244i) q^{87} -1.89625i q^{88} +(-5.05100 + 1.35341i) q^{89} +0.405691 q^{90} +(-1.47861 - 9.42410i) q^{91} -5.30014 q^{92} +(-3.90039 + 1.04511i) q^{93} +7.31209i q^{94} +(0.526794 - 0.304145i) q^{95} +(5.28861 + 1.41708i) q^{96} +(0.288642 + 1.07723i) q^{97} +(2.40040 - 3.29466i) q^{98} +(0.628957 - 0.628957i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.562494 0.150720i 0.397744 0.106575i −0.0544022 0.998519i \(-0.517325\pi\)
0.452146 + 0.891944i \(0.350659\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −1.43837 + 0.830442i −0.719184 + 0.415221i
\(5\) −0.672922 0.180309i −0.300940 0.0806367i 0.105189 0.994452i \(-0.466455\pi\)
−0.406129 + 0.913816i \(0.633122\pi\)
\(6\) 0.150720 + 0.562494i 0.0615312 + 0.229637i
\(7\) −2.49458 + 0.881516i −0.942863 + 0.333182i
\(8\) −1.50746 + 1.50746i −0.532967 + 0.532967i
\(9\) −1.00000 −0.333333
\(10\) −0.405691 −0.128291
\(11\) −0.628957 + 0.628957i −0.189638 + 0.189638i −0.795539 0.605902i \(-0.792812\pi\)
0.605902 + 0.795539i \(0.292812\pi\)
\(12\) −0.830442 1.43837i −0.239728 0.415221i
\(13\) −0.659853 + 3.54466i −0.183010 + 0.983111i
\(14\) −1.27033 + 0.871831i −0.339509 + 0.233007i
\(15\) 0.180309 0.672922i 0.0465556 0.173748i
\(16\) 1.04015 1.80159i 0.260038 0.450398i
\(17\) −0.0230331 0.0398944i −0.00558634 0.00967582i 0.863219 0.504830i \(-0.168445\pi\)
−0.868805 + 0.495154i \(0.835112\pi\)
\(18\) −0.562494 + 0.150720i −0.132581 + 0.0355250i
\(19\) −0.617410 + 0.617410i −0.141644 + 0.141644i −0.774373 0.632729i \(-0.781935\pi\)
0.632729 + 0.774373i \(0.281935\pi\)
\(20\) 1.11765 0.299472i 0.249913 0.0669640i
\(21\) −0.881516 2.49458i −0.192363 0.544362i
\(22\) −0.258989 + 0.448581i −0.0552165 + 0.0956379i
\(23\) 2.76363 + 1.59558i 0.576256 + 0.332701i 0.759644 0.650339i \(-0.225373\pi\)
−0.183388 + 0.983041i \(0.558707\pi\)
\(24\) −1.50746 1.50746i −0.307709 0.307709i
\(25\) −3.90981 2.25733i −0.781963 0.451466i
\(26\) 0.163087 + 2.09330i 0.0319839 + 0.410530i
\(27\) 1.00000i 0.192450i
\(28\) 2.85607 3.33955i 0.539747 0.631115i
\(29\) 4.08244 + 7.07099i 0.758090 + 1.31305i 0.943824 + 0.330450i \(0.107200\pi\)
−0.185734 + 0.982600i \(0.559466\pi\)
\(30\) 0.405691i 0.0740688i
\(31\) 1.04511 + 3.90039i 0.187707 + 0.700531i 0.994035 + 0.109063i \(0.0347849\pi\)
−0.806328 + 0.591468i \(0.798548\pi\)
\(32\) 1.41708 5.28861i 0.250507 0.934903i
\(33\) −0.628957 0.628957i −0.109487 0.109487i
\(34\) −0.0189689 0.0189689i −0.00325313 0.00325313i
\(35\) 1.83760 0.143397i 0.310612 0.0242385i
\(36\) 1.43837 0.830442i 0.239728 0.138407i
\(37\) −1.82246 6.80150i −0.299610 1.11816i −0.937487 0.348021i \(-0.886854\pi\)
0.637877 0.770138i \(-0.279813\pi\)
\(38\) −0.254234 + 0.440346i −0.0412422 + 0.0714335i
\(39\) −3.54466 0.659853i −0.567599 0.105661i
\(40\) 1.28621 0.742594i 0.203368 0.117414i
\(41\) 8.56284 + 2.29441i 1.33729 + 0.358326i 0.855429 0.517921i \(-0.173294\pi\)
0.481863 + 0.876247i \(0.339960\pi\)
\(42\) −0.871831 1.27033i −0.134526 0.196015i
\(43\) 1.29226 + 0.746085i 0.197067 + 0.113777i 0.595287 0.803513i \(-0.297038\pi\)
−0.398219 + 0.917290i \(0.630372\pi\)
\(44\) 0.382359 1.42698i 0.0576428 0.215126i
\(45\) 0.672922 + 0.180309i 0.100313 + 0.0268789i
\(46\) 1.79501 + 0.480971i 0.264660 + 0.0709154i
\(47\) −3.24985 + 12.1286i −0.474039 + 1.76914i 0.150987 + 0.988536i \(0.451755\pi\)
−0.625026 + 0.780604i \(0.714912\pi\)
\(48\) 1.80159 + 1.04015i 0.260038 + 0.150133i
\(49\) 5.44586 4.39802i 0.777980 0.628289i
\(50\) −2.53947 0.680450i −0.359136 0.0962301i
\(51\) 0.0398944 0.0230331i 0.00558634 0.00322527i
\(52\) −1.99452 5.64649i −0.276590 0.783027i
\(53\) 4.89224 8.47362i 0.672001 1.16394i −0.305334 0.952245i \(-0.598768\pi\)
0.977336 0.211695i \(-0.0678985\pi\)
\(54\) −0.150720 0.562494i −0.0205104 0.0765458i
\(55\) 0.536646 0.309833i 0.0723613 0.0417778i
\(56\) 2.43163 5.08932i 0.324940 0.680090i
\(57\) −0.617410 0.617410i −0.0817780 0.0817780i
\(58\) 3.36209 + 3.36209i 0.441464 + 0.441464i
\(59\) −2.28980 + 8.54567i −0.298107 + 1.11255i 0.640611 + 0.767866i \(0.278681\pi\)
−0.938718 + 0.344686i \(0.887986\pi\)
\(60\) 0.299472 + 1.11765i 0.0386617 + 0.144287i
\(61\) 1.01326i 0.129734i −0.997894 0.0648672i \(-0.979338\pi\)
0.997894 0.0648672i \(-0.0206624\pi\)
\(62\) 1.17573 + 2.03643i 0.149318 + 0.258627i
\(63\) 2.49458 0.881516i 0.314288 0.111061i
\(64\) 0.972206i 0.121526i
\(65\) 1.08316 2.26630i 0.134350 0.281100i
\(66\) −0.448581 0.258989i −0.0552165 0.0318793i
\(67\) −1.77192 1.77192i −0.216474 0.216474i 0.590537 0.807011i \(-0.298916\pi\)
−0.807011 + 0.590537i \(0.798916\pi\)
\(68\) 0.0662600 + 0.0382552i 0.00803521 + 0.00463913i
\(69\) −1.59558 + 2.76363i −0.192085 + 0.332701i
\(70\) 1.01203 0.357623i 0.120961 0.0427442i
\(71\) −0.798336 + 0.213913i −0.0947450 + 0.0253869i −0.305880 0.952070i \(-0.598951\pi\)
0.211135 + 0.977457i \(0.432284\pi\)
\(72\) 1.50746 1.50746i 0.177656 0.177656i
\(73\) −15.2725 + 4.09226i −1.78751 + 0.478963i −0.991920 0.126867i \(-0.959508\pi\)
−0.795594 + 0.605830i \(0.792841\pi\)
\(74\) −2.05024 3.55112i −0.238336 0.412810i
\(75\) 2.25733 3.90981i 0.260654 0.451466i
\(76\) 0.375340 1.40079i 0.0430544 0.160681i
\(77\) 1.01455 2.12342i 0.115618 0.241986i
\(78\) −2.09330 + 0.163087i −0.237020 + 0.0184659i
\(79\) −4.73655 8.20394i −0.532903 0.923016i −0.999262 0.0384199i \(-0.987768\pi\)
0.466358 0.884596i \(-0.345566\pi\)
\(80\) −1.02478 + 1.02478i −0.114574 + 0.114574i
\(81\) 1.00000 0.111111
\(82\) 5.16236 0.570088
\(83\) 3.50364 3.50364i 0.384574 0.384574i −0.488173 0.872747i \(-0.662336\pi\)
0.872747 + 0.488173i \(0.162336\pi\)
\(84\) 3.33955 + 2.85607i 0.364374 + 0.311623i
\(85\) 0.00830614 + 0.0309989i 0.000900927 + 0.00336231i
\(86\) 0.839337 + 0.224900i 0.0905081 + 0.0242516i
\(87\) −7.07099 + 4.08244i −0.758090 + 0.437683i
\(88\) 1.89625i 0.202141i
\(89\) −5.05100 + 1.35341i −0.535405 + 0.143461i −0.516383 0.856358i \(-0.672722\pi\)
−0.0190218 + 0.999819i \(0.506055\pi\)
\(90\) 0.405691 0.0427636
\(91\) −1.47861 9.42410i −0.155001 0.987914i
\(92\) −5.30014 −0.552578
\(93\) −3.90039 + 1.04511i −0.404452 + 0.108373i
\(94\) 7.31209i 0.754185i
\(95\) 0.526794 0.304145i 0.0540479 0.0312046i
\(96\) 5.28861 + 1.41708i 0.539767 + 0.144630i
\(97\) 0.288642 + 1.07723i 0.0293071 + 0.109376i 0.979030 0.203716i \(-0.0653019\pi\)
−0.949723 + 0.313092i \(0.898635\pi\)
\(98\) 2.40040 3.29466i 0.242477 0.332811i
\(99\) 0.628957 0.628957i 0.0632126 0.0632126i
\(100\) 7.49833 0.749833
\(101\) 14.6075 1.45350 0.726752 0.686900i \(-0.241029\pi\)
0.726752 + 0.686900i \(0.241029\pi\)
\(102\) 0.0189689 0.0189689i 0.00187820 0.00187820i
\(103\) 6.34652 + 10.9925i 0.625342 + 1.08312i 0.988475 + 0.151386i \(0.0483737\pi\)
−0.363133 + 0.931737i \(0.618293\pi\)
\(104\) −4.34872 6.33812i −0.426427 0.621504i
\(105\) 0.143397 + 1.83760i 0.0139941 + 0.179332i
\(106\) 1.47472 5.50372i 0.143237 0.534569i
\(107\) −5.89611 + 10.2124i −0.569999 + 0.987267i 0.426566 + 0.904456i \(0.359723\pi\)
−0.996565 + 0.0828108i \(0.973610\pi\)
\(108\) 0.830442 + 1.43837i 0.0799093 + 0.138407i
\(109\) −3.31627 + 0.888593i −0.317641 + 0.0851118i −0.414117 0.910224i \(-0.635910\pi\)
0.0964758 + 0.995335i \(0.469243\pi\)
\(110\) 0.255162 0.255162i 0.0243288 0.0243288i
\(111\) 6.80150 1.82246i 0.645569 0.172980i
\(112\) −1.00661 + 5.41113i −0.0951152 + 0.511304i
\(113\) 7.53468 13.0504i 0.708803 1.22768i −0.256498 0.966545i \(-0.582569\pi\)
0.965301 0.261138i \(-0.0840978\pi\)
\(114\) −0.440346 0.254234i −0.0412422 0.0238112i
\(115\) −1.57201 1.57201i −0.146591 0.146591i
\(116\) −11.7441 6.78045i −1.09041 0.629549i
\(117\) 0.659853 3.54466i 0.0610035 0.327704i
\(118\) 5.15201i 0.474281i
\(119\) 0.0926254 + 0.0792158i 0.00849096 + 0.00726170i
\(120\) 0.742594 + 1.28621i 0.0677893 + 0.117414i
\(121\) 10.2088i 0.928075i
\(122\) −0.152718 0.569952i −0.0138265 0.0516010i
\(123\) −2.29441 + 8.56284i −0.206880 + 0.772086i
\(124\) −4.74230 4.74230i −0.425871 0.425871i
\(125\) 4.68705 + 4.68705i 0.419223 + 0.419223i
\(126\) 1.27033 0.871831i 0.113170 0.0776689i
\(127\) −6.17582 + 3.56561i −0.548016 + 0.316397i −0.748321 0.663337i \(-0.769140\pi\)
0.200306 + 0.979733i \(0.435806\pi\)
\(128\) 2.98069 + 11.1241i 0.263458 + 0.983239i
\(129\) −0.746085 + 1.29226i −0.0656891 + 0.113777i
\(130\) 0.267697 1.43804i 0.0234786 0.126124i
\(131\) −11.8790 + 6.85837i −1.03788 + 0.599219i −0.919231 0.393718i \(-0.871189\pi\)
−0.118646 + 0.992937i \(0.537855\pi\)
\(132\) 1.42698 + 0.382359i 0.124203 + 0.0332801i
\(133\) 0.995922 2.08444i 0.0863574 0.180744i
\(134\) −1.26376 0.729630i −0.109172 0.0630304i
\(135\) −0.180309 + 0.672922i −0.0155185 + 0.0579159i
\(136\) 0.0948606 + 0.0254178i 0.00813423 + 0.00217956i
\(137\) −11.2780 3.02192i −0.963541 0.258180i −0.257442 0.966294i \(-0.582880\pi\)
−0.706098 + 0.708114i \(0.749546\pi\)
\(138\) −0.480971 + 1.79501i −0.0409430 + 0.152801i
\(139\) 0.834941 + 0.482054i 0.0708188 + 0.0408873i 0.534991 0.844858i \(-0.320315\pi\)
−0.464172 + 0.885745i \(0.653648\pi\)
\(140\) −2.52407 + 1.73228i −0.213323 + 0.146404i
\(141\) −12.1286 3.24985i −1.02141 0.273687i
\(142\) −0.416818 + 0.240650i −0.0349786 + 0.0201949i
\(143\) −1.81442 2.64446i −0.151729 0.221141i
\(144\) −1.04015 + 1.80159i −0.0866792 + 0.150133i
\(145\) −1.47220 5.49433i −0.122260 0.456279i
\(146\) −7.97393 + 4.60375i −0.659927 + 0.381009i
\(147\) 4.39802 + 5.44586i 0.362743 + 0.449167i
\(148\) 8.26961 + 8.26961i 0.679757 + 0.679757i
\(149\) 1.64140 + 1.64140i 0.134469 + 0.134469i 0.771137 0.636669i \(-0.219688\pi\)
−0.636669 + 0.771137i \(0.719688\pi\)
\(150\) 0.680450 2.53947i 0.0555585 0.207347i
\(151\) 3.52700 + 13.1629i 0.287023 + 1.07118i 0.947348 + 0.320205i \(0.103752\pi\)
−0.660325 + 0.750980i \(0.729582\pi\)
\(152\) 1.86144i 0.150983i
\(153\) 0.0230331 + 0.0398944i 0.00186211 + 0.00322527i
\(154\) 0.250636 1.34732i 0.0201968 0.108570i
\(155\) 2.81310i 0.225954i
\(156\) 5.64649 1.99452i 0.452081 0.159689i
\(157\) 3.81144 + 2.20054i 0.304186 + 0.175622i 0.644322 0.764754i \(-0.277140\pi\)
−0.340136 + 0.940376i \(0.610473\pi\)
\(158\) −3.90078 3.90078i −0.310329 0.310329i
\(159\) 8.47362 + 4.89224i 0.672001 + 0.387980i
\(160\) −1.90717 + 3.30331i −0.150775 + 0.261150i
\(161\) −8.30061 1.54412i −0.654180 0.121694i
\(162\) 0.562494 0.150720i 0.0441937 0.0118417i
\(163\) 0.215757 0.215757i 0.0168994 0.0168994i −0.698607 0.715506i \(-0.746196\pi\)
0.715506 + 0.698607i \(0.246196\pi\)
\(164\) −14.2219 + 3.81074i −1.11054 + 0.297569i
\(165\) 0.309833 + 0.536646i 0.0241204 + 0.0417778i
\(166\) 1.44271 2.49884i 0.111976 0.193948i
\(167\) −0.106108 + 0.396000i −0.00821087 + 0.0306434i −0.969910 0.243465i \(-0.921716\pi\)
0.961699 + 0.274108i \(0.0883826\pi\)
\(168\) 5.08932 + 2.43163i 0.392650 + 0.187604i
\(169\) −12.1292 4.67791i −0.933014 0.359839i
\(170\) 0.00934431 + 0.0161848i 0.000716676 + 0.00124132i
\(171\) 0.617410 0.617410i 0.0472145 0.0472145i
\(172\) −2.47832 −0.188970
\(173\) −2.07593 −0.157830 −0.0789149 0.996881i \(-0.525146\pi\)
−0.0789149 + 0.996881i \(0.525146\pi\)
\(174\) −3.36209 + 3.36209i −0.254879 + 0.254879i
\(175\) 11.7432 + 2.18453i 0.887704 + 0.165135i
\(176\) 0.478915 + 1.78734i 0.0360996 + 0.134725i
\(177\) −8.54567 2.28980i −0.642332 0.172112i
\(178\) −2.63717 + 1.52257i −0.197664 + 0.114122i
\(179\) 13.4116i 1.00243i −0.865322 0.501216i \(-0.832886\pi\)
0.865322 0.501216i \(-0.167114\pi\)
\(180\) −1.11765 + 0.299472i −0.0833044 + 0.0223213i
\(181\) 2.32661 0.172935 0.0864677 0.996255i \(-0.472442\pi\)
0.0864677 + 0.996255i \(0.472442\pi\)
\(182\) −2.25211 5.07815i −0.166938 0.376417i
\(183\) 1.01326 0.0749022
\(184\) −6.57132 + 1.76078i −0.484444 + 0.129806i
\(185\) 4.90548i 0.360658i
\(186\) −2.03643 + 1.17573i −0.149318 + 0.0862090i
\(187\) 0.0395787 + 0.0106051i 0.00289428 + 0.000775520i
\(188\) −5.39762 20.1442i −0.393662 1.46917i
\(189\) 0.881516 + 2.49458i 0.0641209 + 0.181454i
\(190\) 0.250478 0.250478i 0.0181716 0.0181716i
\(191\) 22.9951 1.66387 0.831934 0.554875i \(-0.187234\pi\)
0.831934 + 0.554875i \(0.187234\pi\)
\(192\) −0.972206 −0.0701629
\(193\) 4.77121 4.77121i 0.343439 0.343439i −0.514220 0.857659i \(-0.671918\pi\)
0.857659 + 0.514220i \(0.171918\pi\)
\(194\) 0.324719 + 0.562430i 0.0233135 + 0.0403801i
\(195\) 2.26630 + 1.08316i 0.162293 + 0.0775670i
\(196\) −4.18084 + 10.8484i −0.298632 + 0.774889i
\(197\) 3.30495 12.3342i 0.235468 0.878778i −0.742470 0.669880i \(-0.766346\pi\)
0.977937 0.208898i \(-0.0669876\pi\)
\(198\) 0.258989 0.448581i 0.0184055 0.0318793i
\(199\) 0.415227 + 0.719195i 0.0294347 + 0.0509824i 0.880368 0.474292i \(-0.157296\pi\)
−0.850933 + 0.525275i \(0.823963\pi\)
\(200\) 9.29672 2.49105i 0.657377 0.176144i
\(201\) 1.77192 1.77192i 0.124981 0.124981i
\(202\) 8.21665 2.20165i 0.578122 0.154907i
\(203\) −16.4172 14.0404i −1.15226 0.985444i
\(204\) −0.0382552 + 0.0662600i −0.00267840 + 0.00463913i
\(205\) −5.34843 3.08792i −0.373550 0.215669i
\(206\) 5.22667 + 5.22667i 0.364160 + 0.364160i
\(207\) −2.76363 1.59558i −0.192085 0.110900i
\(208\) 5.69968 + 4.87576i 0.395202 + 0.338073i
\(209\) 0.776649i 0.0537220i
\(210\) 0.357623 + 1.01203i 0.0246784 + 0.0698367i
\(211\) 11.5683 + 20.0368i 0.796392 + 1.37939i 0.921952 + 0.387305i \(0.126594\pi\)
−0.125560 + 0.992086i \(0.540073\pi\)
\(212\) 16.2509i 1.11612i
\(213\) −0.213913 0.798336i −0.0146571 0.0547011i
\(214\) −1.77732 + 6.63306i −0.121495 + 0.453427i
\(215\) −0.735063 0.735063i −0.0501309 0.0501309i
\(216\) 1.50746 + 1.50746i 0.102570 + 0.102570i
\(217\) −6.04536 8.80856i −0.410386 0.597964i
\(218\) −1.73146 + 0.999657i −0.117269 + 0.0677053i
\(219\) −4.09226 15.2725i −0.276529 1.03202i
\(220\) −0.514596 + 0.891307i −0.0346941 + 0.0600919i
\(221\) 0.156611 0.0553198i 0.0105348 0.00372121i
\(222\) 3.55112 2.05024i 0.238336 0.137603i
\(223\) 13.8755 + 3.71792i 0.929171 + 0.248971i 0.691501 0.722375i \(-0.256950\pi\)
0.237670 + 0.971346i \(0.423616\pi\)
\(224\) 1.12698 + 14.4420i 0.0752994 + 0.964949i
\(225\) 3.90981 + 2.25733i 0.260654 + 0.150489i
\(226\) 2.27125 8.47643i 0.151081 0.563844i
\(227\) −19.8561 5.32042i −1.31789 0.353129i −0.469705 0.882823i \(-0.655640\pi\)
−0.848188 + 0.529695i \(0.822306\pi\)
\(228\) 1.40079 + 0.375340i 0.0927693 + 0.0248575i
\(229\) 1.07018 3.99397i 0.0707196 0.263929i −0.921509 0.388357i \(-0.873043\pi\)
0.992229 + 0.124428i \(0.0397095\pi\)
\(230\) −1.12118 0.647313i −0.0739283 0.0426826i
\(231\) 2.12342 + 1.01455i 0.139711 + 0.0667524i
\(232\) −16.8133 4.50512i −1.10385 0.295775i
\(233\) 1.72269 0.994594i 0.112857 0.0651580i −0.442509 0.896764i \(-0.645912\pi\)
0.555366 + 0.831606i \(0.312578\pi\)
\(234\) −0.163087 2.09330i −0.0106613 0.136843i
\(235\) 4.37380 7.57564i 0.285315 0.494180i
\(236\) −3.80310 14.1934i −0.247561 0.923909i
\(237\) 8.20394 4.73655i 0.532903 0.307672i
\(238\) 0.0640407 + 0.0305980i 0.00415114 + 0.00198337i
\(239\) 10.1339 + 10.1339i 0.655510 + 0.655510i 0.954314 0.298805i \(-0.0965879\pi\)
−0.298805 + 0.954314i \(0.596588\pi\)
\(240\) −1.02478 1.02478i −0.0661495 0.0661495i
\(241\) 7.15869 26.7166i 0.461132 1.72097i −0.208275 0.978070i \(-0.566785\pi\)
0.669406 0.742896i \(-0.266549\pi\)
\(242\) 1.53867 + 5.74241i 0.0989097 + 0.369136i
\(243\) 1.00000i 0.0641500i
\(244\) 0.841452 + 1.45744i 0.0538684 + 0.0933029i
\(245\) −4.45764 + 1.97759i −0.284788 + 0.126344i
\(246\) 5.16236i 0.329140i
\(247\) −1.78111 2.59591i −0.113329 0.165174i
\(248\) −7.45513 4.30422i −0.473401 0.273318i
\(249\) 3.50364 + 3.50364i 0.222034 + 0.222034i
\(250\) 3.34287 + 1.93001i 0.211422 + 0.122064i
\(251\) 3.92297 6.79478i 0.247616 0.428883i −0.715248 0.698871i \(-0.753686\pi\)
0.962864 + 0.269988i \(0.0870197\pi\)
\(252\) −2.85607 + 3.33955i −0.179916 + 0.210372i
\(253\) −2.74175 + 0.734651i −0.172373 + 0.0461871i
\(254\) −2.93646 + 2.93646i −0.184250 + 0.184250i
\(255\) −0.0309989 + 0.00830614i −0.00194123 + 0.000520151i
\(256\) 2.38104 + 4.12408i 0.148815 + 0.257755i
\(257\) −0.181903 + 0.315066i −0.0113468 + 0.0196533i −0.871643 0.490141i \(-0.836945\pi\)
0.860296 + 0.509794i \(0.170279\pi\)
\(258\) −0.224900 + 0.839337i −0.0140017 + 0.0522549i
\(259\) 10.5419 + 15.3604i 0.655041 + 0.954446i
\(260\) 0.324044 + 4.15928i 0.0200964 + 0.257948i
\(261\) −4.08244 7.07099i −0.252697 0.437683i
\(262\) −5.64821 + 5.64821i −0.348947 + 0.348947i
\(263\) 22.3462 1.37793 0.688963 0.724797i \(-0.258066\pi\)
0.688963 + 0.724797i \(0.258066\pi\)
\(264\) 1.89625 0.116706
\(265\) −4.81997 + 4.81997i −0.296088 + 0.296088i
\(266\) 0.246035 1.32259i 0.0150854 0.0810932i
\(267\) −1.35341 5.05100i −0.0828274 0.309116i
\(268\) 4.02014 + 1.07719i 0.245569 + 0.0658000i
\(269\) 22.7714 13.1471i 1.38839 0.801590i 0.395260 0.918569i \(-0.370654\pi\)
0.993134 + 0.116979i \(0.0373210\pi\)
\(270\) 0.405691i 0.0246896i
\(271\) 0.228195 0.0611447i 0.0138619 0.00371427i −0.251881 0.967758i \(-0.581049\pi\)
0.265743 + 0.964044i \(0.414383\pi\)
\(272\) −0.0958314 −0.00581063
\(273\) 9.42410 1.47861i 0.570373 0.0894898i
\(274\) −6.79925 −0.410758
\(275\) 3.87887 1.03934i 0.233905 0.0626746i
\(276\) 5.30014i 0.319031i
\(277\) −1.63409 + 0.943444i −0.0981831 + 0.0566860i −0.548288 0.836290i \(-0.684720\pi\)
0.450104 + 0.892976i \(0.351387\pi\)
\(278\) 0.542305 + 0.145310i 0.0325253 + 0.00871513i
\(279\) −1.04511 3.90039i −0.0625689 0.233510i
\(280\) −2.55395 + 2.98628i −0.152628 + 0.178464i
\(281\) 14.2823 14.2823i 0.852011 0.852011i −0.138370 0.990381i \(-0.544186\pi\)
0.990381 + 0.138370i \(0.0441863\pi\)
\(282\) −7.31209 −0.435429
\(283\) 17.1254 1.01800 0.509001 0.860766i \(-0.330015\pi\)
0.509001 + 0.860766i \(0.330015\pi\)
\(284\) 0.970657 0.970657i 0.0575979 0.0575979i
\(285\) 0.304145 + 0.526794i 0.0180160 + 0.0312046i
\(286\) −1.41917 1.21402i −0.0839174 0.0717867i
\(287\) −23.3833 + 1.82470i −1.38027 + 0.107709i
\(288\) −1.41708 + 5.28861i −0.0835022 + 0.311634i
\(289\) 8.49894 14.7206i 0.499938 0.865917i
\(290\) −1.65621 2.86864i −0.0972560 0.168452i
\(291\) −1.07723 + 0.288642i −0.0631481 + 0.0169205i
\(292\) 18.5691 18.5691i 1.08668 1.08668i
\(293\) 0.0551536 0.0147783i 0.00322210 0.000863360i −0.257208 0.966356i \(-0.582802\pi\)
0.260430 + 0.965493i \(0.416136\pi\)
\(294\) 3.29466 + 2.40040i 0.192149 + 0.139994i
\(295\) 3.08172 5.33770i 0.179425 0.310773i
\(296\) 13.0002 + 7.50570i 0.755624 + 0.436260i
\(297\) 0.628957 + 0.628957i 0.0364958 + 0.0364958i
\(298\) 1.17067 + 0.675886i 0.0678150 + 0.0391530i
\(299\) −7.47937 + 8.74326i −0.432543 + 0.505636i
\(300\) 7.49833i 0.432916i
\(301\) −3.88133 0.722023i −0.223716 0.0416167i
\(302\) 3.96783 + 6.87249i 0.228323 + 0.395467i
\(303\) 14.6075i 0.839181i
\(304\) 0.470123 + 1.75452i 0.0269634 + 0.100629i
\(305\) −0.182700 + 0.681844i −0.0104613 + 0.0390423i
\(306\) 0.0189689 + 0.0189689i 0.00108438 + 0.00108438i
\(307\) −17.7169 17.7169i −1.01116 1.01116i −0.999937 0.0112203i \(-0.996428\pi\)
−0.0112203 0.999937i \(-0.503572\pi\)
\(308\) 0.304084 + 3.89678i 0.0173268 + 0.222040i
\(309\) −10.9925 + 6.34652i −0.625342 + 0.361041i
\(310\) −0.423991 1.58235i −0.0240811 0.0898717i
\(311\) 9.52232 16.4931i 0.539961 0.935240i −0.458944 0.888465i \(-0.651772\pi\)
0.998905 0.0467749i \(-0.0148944\pi\)
\(312\) 6.33812 4.34872i 0.358826 0.246198i
\(313\) −2.59097 + 1.49590i −0.146450 + 0.0845530i −0.571435 0.820648i \(-0.693613\pi\)
0.424984 + 0.905201i \(0.360280\pi\)
\(314\) 2.47558 + 0.663329i 0.139705 + 0.0374338i
\(315\) −1.83760 + 0.143397i −0.103537 + 0.00807949i
\(316\) 13.6258 + 7.86686i 0.766511 + 0.442545i
\(317\) −0.183258 + 0.683930i −0.0102928 + 0.0384133i −0.970881 0.239561i \(-0.922996\pi\)
0.960588 + 0.277975i \(0.0896631\pi\)
\(318\) 5.50372 + 1.47472i 0.308633 + 0.0826980i
\(319\) −7.01503 1.87967i −0.392766 0.105241i
\(320\) 0.175298 0.654219i 0.00979943 0.0365720i
\(321\) −10.2124 5.89611i −0.569999 0.329089i
\(322\) −4.90178 + 0.382508i −0.273165 + 0.0213164i
\(323\) 0.0388521 + 0.0104104i 0.00216179 + 0.000579249i
\(324\) −1.43837 + 0.830442i −0.0799093 + 0.0461357i
\(325\) 10.5814 12.3694i 0.586949 0.686133i
\(326\) 0.0888434 0.153881i 0.00492058 0.00852269i
\(327\) −0.888593 3.31627i −0.0491393 0.183390i
\(328\) −16.3669 + 9.44941i −0.903708 + 0.521756i
\(329\) −2.58455 33.1206i −0.142491 1.82600i
\(330\) 0.255162 + 0.255162i 0.0140462 + 0.0140462i
\(331\) −6.71159 6.71159i −0.368903 0.368903i 0.498174 0.867077i \(-0.334004\pi\)
−0.867077 + 0.498174i \(0.834004\pi\)
\(332\) −2.12995 + 7.94908i −0.116896 + 0.436263i
\(333\) 1.82246 + 6.80150i 0.0998699 + 0.372720i
\(334\) 0.238740i 0.0130633i
\(335\) 0.872869 + 1.51185i 0.0476899 + 0.0826014i
\(336\) −5.41113 1.00661i −0.295201 0.0549148i
\(337\) 28.3561i 1.54465i 0.635226 + 0.772327i \(0.280907\pi\)
−0.635226 + 0.772327i \(0.719093\pi\)
\(338\) −7.52765 0.803187i −0.409450 0.0436876i
\(339\) 13.0504 + 7.53468i 0.708803 + 0.409228i
\(340\) −0.0376901 0.0376901i −0.00204403 0.00204403i
\(341\) −3.11051 1.79585i −0.168443 0.0972508i
\(342\) 0.254234 0.440346i 0.0137474 0.0238112i
\(343\) −9.70820 + 15.7718i −0.524194 + 0.851599i
\(344\) −3.07272 + 0.823332i −0.165670 + 0.0443911i
\(345\) 1.57201 1.57201i 0.0846341 0.0846341i
\(346\) −1.16770 + 0.312884i −0.0627758 + 0.0168207i
\(347\) 11.1898 + 19.3814i 0.600702 + 1.04045i 0.992715 + 0.120487i \(0.0384455\pi\)
−0.392013 + 0.919960i \(0.628221\pi\)
\(348\) 6.78045 11.7441i 0.363470 0.629549i
\(349\) 2.36174 8.81412i 0.126421 0.471809i −0.873465 0.486886i \(-0.838133\pi\)
0.999886 + 0.0150770i \(0.00479935\pi\)
\(350\) 6.93475 0.541150i 0.370678 0.0289257i
\(351\) 3.54466 + 0.659853i 0.189200 + 0.0352204i
\(352\) 2.43503 + 4.21759i 0.129787 + 0.224798i
\(353\) −2.03241 + 2.03241i −0.108174 + 0.108174i −0.759122 0.650948i \(-0.774372\pi\)
0.650948 + 0.759122i \(0.274372\pi\)
\(354\) −5.15201 −0.273826
\(355\) 0.575789 0.0305597
\(356\) 6.14126 6.14126i 0.325486 0.325486i
\(357\) −0.0792158 + 0.0926254i −0.00419255 + 0.00490226i
\(358\) −2.02140 7.54396i −0.106834 0.398711i
\(359\) −7.79454 2.08854i −0.411380 0.110229i 0.0471928 0.998886i \(-0.484972\pi\)
−0.458573 + 0.888657i \(0.651639\pi\)
\(360\) −1.28621 + 0.742594i −0.0677893 + 0.0391382i
\(361\) 18.2376i 0.959874i
\(362\) 1.30870 0.350666i 0.0687840 0.0184306i
\(363\) −10.2088 −0.535824
\(364\) 9.95296 + 12.3274i 0.521677 + 0.646132i
\(365\) 11.0151 0.576557
\(366\) 0.569952 0.152718i 0.0297919 0.00798271i
\(367\) 1.67913i 0.0876497i −0.999039 0.0438249i \(-0.986046\pi\)
0.999039 0.0438249i \(-0.0139544\pi\)
\(368\) 5.74917 3.31929i 0.299696 0.173030i
\(369\) −8.56284 2.29441i −0.445764 0.119442i
\(370\) 0.739354 + 2.75931i 0.0384372 + 0.143450i
\(371\) −4.73447 + 25.4507i −0.245801 + 1.32133i
\(372\) 4.74230 4.74230i 0.245877 0.245877i
\(373\) −32.2757 −1.67117 −0.835587 0.549358i \(-0.814872\pi\)
−0.835587 + 0.549358i \(0.814872\pi\)
\(374\) 0.0238612 0.00123383
\(375\) −4.68705 + 4.68705i −0.242038 + 0.242038i
\(376\) −13.3844 23.1824i −0.690246 1.19554i
\(377\) −27.7580 + 9.80502i −1.42961 + 0.504984i
\(378\) 0.871831 + 1.27033i 0.0448421 + 0.0653385i
\(379\) 5.38351 20.0915i 0.276532 1.03203i −0.678276 0.734808i \(-0.737272\pi\)
0.954808 0.297224i \(-0.0960609\pi\)
\(380\) −0.505149 + 0.874943i −0.0259136 + 0.0448837i
\(381\) −3.56561 6.17582i −0.182672 0.316397i
\(382\) 12.9346 3.46582i 0.661793 0.177327i
\(383\) −19.8878 + 19.8878i −1.01622 + 1.01622i −0.0163519 + 0.999866i \(0.505205\pi\)
−0.999866 + 0.0163519i \(0.994795\pi\)
\(384\) −11.1241 + 2.98069i −0.567673 + 0.152108i
\(385\) −1.06558 + 1.24596i −0.0543072 + 0.0635002i
\(386\) 1.96466 3.40289i 0.0999986 0.173203i
\(387\) −1.29226 0.746085i −0.0656891 0.0379256i
\(388\) −1.30975 1.30975i −0.0664923 0.0664923i
\(389\) 9.23904 + 5.33416i 0.468438 + 0.270453i 0.715586 0.698525i \(-0.246160\pi\)
−0.247148 + 0.968978i \(0.579493\pi\)
\(390\) 1.43804 + 0.267697i 0.0728178 + 0.0135554i
\(391\) 0.147004i 0.00743433i
\(392\) −1.57957 + 14.8392i −0.0797801 + 0.749495i
\(393\) −6.85837 11.8790i −0.345959 0.599219i
\(394\) 7.43606i 0.374623i
\(395\) 1.70809 + 6.37466i 0.0859431 + 0.320744i
\(396\) −0.382359 + 1.42698i −0.0192143 + 0.0717086i
\(397\) 1.67763 + 1.67763i 0.0841976 + 0.0841976i 0.747951 0.663754i \(-0.231038\pi\)
−0.663754 + 0.747951i \(0.731038\pi\)
\(398\) 0.341960 + 0.341960i 0.0171409 + 0.0171409i
\(399\) 2.08444 + 0.995922i 0.104352 + 0.0498585i
\(400\) −8.13359 + 4.69593i −0.406679 + 0.234797i
\(401\) 8.06712 + 30.1069i 0.402853 + 1.50347i 0.807982 + 0.589208i \(0.200560\pi\)
−0.405129 + 0.914260i \(0.632773\pi\)
\(402\) 0.729630 1.26376i 0.0363906 0.0630304i
\(403\) −14.5152 + 1.13086i −0.723052 + 0.0563321i
\(404\) −21.0110 + 12.1307i −1.04534 + 0.603525i
\(405\) −0.672922 0.180309i −0.0334378 0.00895963i
\(406\) −11.3507 5.42326i −0.563327 0.269152i
\(407\) 5.42410 + 3.13160i 0.268862 + 0.155228i
\(408\) −0.0254178 + 0.0948606i −0.00125837 + 0.00469630i
\(409\) 22.2302 + 5.95656i 1.09921 + 0.294533i 0.762444 0.647055i \(-0.223999\pi\)
0.336768 + 0.941588i \(0.390666\pi\)
\(410\) −3.47387 0.930821i −0.171562 0.0459700i
\(411\) 3.02192 11.2780i 0.149060 0.556300i
\(412\) −18.2573 10.5408i −0.899471 0.519310i
\(413\) −1.82104 23.3364i −0.0896076 1.14831i
\(414\) −1.79501 0.480971i −0.0882199 0.0236385i
\(415\) −2.98941 + 1.72594i −0.146745 + 0.0847230i
\(416\) 17.8112 + 8.51277i 0.873268 + 0.417373i
\(417\) −0.482054 + 0.834941i −0.0236063 + 0.0408873i
\(418\) −0.117057 0.436861i −0.00572542 0.0213676i
\(419\) −15.0030 + 8.66198i −0.732944 + 0.423166i −0.819498 0.573082i \(-0.805748\pi\)
0.0865540 + 0.996247i \(0.472414\pi\)
\(420\) −1.73228 2.52407i −0.0845266 0.123162i
\(421\) −28.4825 28.4825i −1.38815 1.38815i −0.829203 0.558947i \(-0.811206\pi\)
−0.558947 0.829203i \(-0.688794\pi\)
\(422\) 9.52703 + 9.52703i 0.463769 + 0.463769i
\(423\) 3.24985 12.1286i 0.158013 0.589713i
\(424\) 5.39877 + 20.1485i 0.262187 + 0.978497i
\(425\) 0.207973i 0.0100882i
\(426\) −0.240650 0.416818i −0.0116595 0.0201949i
\(427\) 0.893203 + 2.52765i 0.0432251 + 0.122322i
\(428\) 19.5855i 0.946702i
\(429\) 2.64446 1.81442i 0.127676 0.0876009i
\(430\) −0.524258 0.302680i −0.0252819 0.0145965i
\(431\) 23.9598 + 23.9598i 1.15410 + 1.15410i 0.985722 + 0.168381i \(0.0538539\pi\)
0.168381 + 0.985722i \(0.446146\pi\)
\(432\) −1.80159 1.04015i −0.0866792 0.0500443i
\(433\) −15.2303 + 26.3796i −0.731921 + 1.26772i 0.224141 + 0.974557i \(0.428042\pi\)
−0.956061 + 0.293167i \(0.905291\pi\)
\(434\) −4.72811 4.04361i −0.226956 0.194099i
\(435\) 5.49433 1.47220i 0.263433 0.0705866i
\(436\) 4.03210 4.03210i 0.193102 0.193102i
\(437\) −2.69142 + 0.721163i −0.128748 + 0.0344979i
\(438\) −4.60375 7.97393i −0.219976 0.381009i
\(439\) −1.36285 + 2.36053i −0.0650455 + 0.112662i −0.896714 0.442610i \(-0.854053\pi\)
0.831669 + 0.555272i \(0.187386\pi\)
\(440\) −0.341912 + 1.27603i −0.0163000 + 0.0608324i
\(441\) −5.44586 + 4.39802i −0.259327 + 0.209430i
\(442\) 0.0797547 0.0547214i 0.00379355 0.00260283i
\(443\) −17.3901 30.1206i −0.826229 1.43107i −0.900976 0.433869i \(-0.857148\pi\)
0.0747467 0.997203i \(-0.476185\pi\)
\(444\) −8.26961 + 8.26961i −0.392458 + 0.392458i
\(445\) 3.64296 0.172693
\(446\) 8.36525 0.396106
\(447\) −1.64140 + 1.64140i −0.0776355 + 0.0776355i
\(448\) −0.857015 2.42525i −0.0404902 0.114582i
\(449\) 9.41298 + 35.1297i 0.444226 + 1.65787i 0.717972 + 0.696072i \(0.245070\pi\)
−0.273746 + 0.961802i \(0.588263\pi\)
\(450\) 2.53947 + 0.680450i 0.119712 + 0.0320767i
\(451\) −6.82875 + 3.94258i −0.321553 + 0.185649i
\(452\) 25.0284i 1.17724i
\(453\) −13.1629 + 3.52700i −0.618448 + 0.165713i
\(454\) −11.9708 −0.561818
\(455\) −0.704257 + 6.60830i −0.0330161 + 0.309802i
\(456\) 1.86144 0.0871700
\(457\) −30.7526 + 8.24014i −1.43855 + 0.385457i −0.892025 0.451987i \(-0.850715\pi\)
−0.546522 + 0.837444i \(0.684049\pi\)
\(458\) 2.40789i 0.112513i
\(459\) −0.0398944 + 0.0230331i −0.00186211 + 0.00107509i
\(460\) 3.56659 + 0.955664i 0.166293 + 0.0445581i
\(461\) 4.67038 + 17.4301i 0.217521 + 0.811800i 0.985264 + 0.171042i \(0.0547133\pi\)
−0.767743 + 0.640758i \(0.778620\pi\)
\(462\) 1.34732 + 0.250636i 0.0626832 + 0.0116606i
\(463\) 16.2446 16.2446i 0.754951 0.754951i −0.220448 0.975399i \(-0.570752\pi\)
0.975399 + 0.220448i \(0.0707518\pi\)
\(464\) 16.9854 0.788527
\(465\) 2.81310 0.130455
\(466\) 0.819097 0.819097i 0.0379439 0.0379439i
\(467\) 18.7401 + 32.4588i 0.867188 + 1.50201i 0.864859 + 0.502016i \(0.167408\pi\)
0.00232895 + 0.999997i \(0.499259\pi\)
\(468\) 1.99452 + 5.64649i 0.0921967 + 0.261009i
\(469\) 5.98216 + 2.85821i 0.276230 + 0.131980i
\(470\) 1.31844 4.92047i 0.0608149 0.226964i
\(471\) −2.20054 + 3.81144i −0.101395 + 0.175622i
\(472\) −9.43045 16.3340i −0.434072 0.751834i
\(473\) −1.28203 + 0.343519i −0.0589478 + 0.0157950i
\(474\) 3.90078 3.90078i 0.179169 0.179169i
\(475\) 3.80766 1.02026i 0.174707 0.0468127i
\(476\) −0.199013 0.0370215i −0.00912177 0.00169688i
\(477\) −4.89224 + 8.47362i −0.224000 + 0.387980i
\(478\) 7.22767 + 4.17289i 0.330586 + 0.190864i
\(479\) 18.8991 + 18.8991i 0.863522 + 0.863522i 0.991745 0.128224i \(-0.0409275\pi\)
−0.128224 + 0.991745i \(0.540928\pi\)
\(480\) −3.30331 1.90717i −0.150775 0.0870499i
\(481\) 25.3115 1.97199i 1.15411 0.0899149i
\(482\) 16.1069i 0.733649i
\(483\) 1.54412 8.30061i 0.0702600 0.377691i
\(484\) −8.47784 14.6840i −0.385356 0.667456i
\(485\) 0.776935i 0.0352788i
\(486\) 0.150720 + 0.562494i 0.00683679 + 0.0255153i
\(487\) −6.41427 + 23.9384i −0.290658 + 1.08475i 0.653946 + 0.756541i \(0.273112\pi\)
−0.944605 + 0.328210i \(0.893555\pi\)
\(488\) 1.52744 + 1.52744i 0.0691442 + 0.0691442i
\(489\) 0.215757 + 0.215757i 0.00975689 + 0.00975689i
\(490\) −2.20934 + 1.78424i −0.0998077 + 0.0806038i
\(491\) 9.62086 5.55460i 0.434183 0.250676i −0.266944 0.963712i \(-0.586014\pi\)
0.701127 + 0.713036i \(0.252681\pi\)
\(492\) −3.81074 14.2219i −0.171802 0.641172i
\(493\) 0.188062 0.325733i 0.00846989 0.0146703i
\(494\) −1.39312 1.19174i −0.0626794 0.0536187i
\(495\) −0.536646 + 0.309833i −0.0241204 + 0.0139259i
\(496\) 8.11399 + 2.17414i 0.364329 + 0.0976216i
\(497\) 1.80294 1.23737i 0.0808731 0.0555036i
\(498\) 2.49884 + 1.44271i 0.111976 + 0.0646493i
\(499\) 0.0481231 0.179598i 0.00215428 0.00803990i −0.964840 0.262837i \(-0.915342\pi\)
0.966995 + 0.254797i \(0.0820086\pi\)
\(500\) −10.6340 2.84938i −0.475568 0.127428i
\(501\) −0.396000 0.106108i −0.0176920 0.00474055i
\(502\) 1.18254 4.41330i 0.0527793 0.196975i
\(503\) −0.488766 0.282189i −0.0217930 0.0125822i 0.489064 0.872248i \(-0.337338\pi\)
−0.510857 + 0.859666i \(0.670672\pi\)
\(504\) −2.43163 + 5.08932i −0.108313 + 0.226697i
\(505\) −9.82973 2.63387i −0.437417 0.117206i
\(506\) −1.43149 + 0.826474i −0.0636377 + 0.0367412i
\(507\) 4.67791 12.1292i 0.207753 0.538676i
\(508\) 5.92207 10.2573i 0.262749 0.455095i
\(509\) −5.90635 22.0428i −0.261794 0.977029i −0.964183 0.265236i \(-0.914550\pi\)
0.702389 0.711793i \(-0.252117\pi\)
\(510\) −0.0161848 + 0.00934431i −0.000716676 + 0.000413773i
\(511\) 34.4911 23.6714i 1.52580 1.04716i
\(512\) −14.3259 14.3259i −0.633121 0.633121i
\(513\) 0.617410 + 0.617410i 0.0272593 + 0.0272593i
\(514\) −0.0548329 + 0.204639i −0.00241858 + 0.00902625i
\(515\) −2.28867 8.54144i −0.100851 0.376381i
\(516\) 2.47832i 0.109102i
\(517\) −5.58436 9.67239i −0.245600 0.425391i
\(518\) 8.24486 + 7.05124i 0.362259 + 0.309814i
\(519\) 2.07593i 0.0911231i
\(520\) 1.78353 + 5.04918i 0.0782130 + 0.221421i
\(521\) 20.6918 + 11.9464i 0.906523 + 0.523381i 0.879311 0.476249i \(-0.158004\pi\)
0.0272119 + 0.999630i \(0.491337\pi\)
\(522\) −3.36209 3.36209i −0.147155 0.147155i
\(523\) −28.3525 16.3694i −1.23977 0.715782i −0.270723 0.962657i \(-0.587263\pi\)
−0.969047 + 0.246876i \(0.920596\pi\)
\(524\) 11.3910 19.7297i 0.497616 0.861897i
\(525\) −2.18453 + 11.7432i −0.0953408 + 0.512516i
\(526\) 12.5696 3.36802i 0.548061 0.146853i
\(527\) 0.131532 0.131532i 0.00572962 0.00572962i
\(528\) −1.78734 + 0.478915i −0.0777838 + 0.0208421i
\(529\) −6.40825 11.0994i −0.278620 0.482583i
\(530\) −1.98474 + 3.43767i −0.0862116 + 0.149323i
\(531\) 2.28980 8.54567i 0.0993691 0.370850i
\(532\) 0.298501 + 3.82524i 0.0129417 + 0.165845i
\(533\) −13.7831 + 28.8384i −0.597013 + 1.24913i
\(534\) −1.52257 2.63717i −0.0658881 0.114122i
\(535\) 5.80901 5.80901i 0.251145 0.251145i
\(536\) 5.34218 0.230747
\(537\) 13.4116 0.578754
\(538\) 10.8272 10.8272i 0.466796 0.466796i
\(539\) −0.659043 + 6.19138i −0.0283870 + 0.266682i
\(540\) −0.299472 1.11765i −0.0128872 0.0480958i
\(541\) 17.0583 + 4.57076i 0.733394 + 0.196512i 0.606140 0.795358i \(-0.292717\pi\)
0.127254 + 0.991870i \(0.459384\pi\)
\(542\) 0.119143 0.0687871i 0.00511762 0.00295466i
\(543\) 2.32661i 0.0998443i
\(544\) −0.243626 + 0.0652793i −0.0104454 + 0.00279883i
\(545\) 2.39182 0.102454
\(546\) 5.07815 2.25211i 0.217325 0.0963815i
\(547\) 24.8672 1.06324 0.531621 0.846982i \(-0.321583\pi\)
0.531621 + 0.846982i \(0.321583\pi\)
\(548\) 18.7314 5.01905i 0.800164 0.214403i
\(549\) 1.01326i 0.0432448i
\(550\) 2.02519 1.16925i 0.0863546 0.0498568i
\(551\) −6.88624 1.84516i −0.293364 0.0786066i
\(552\) −1.76078 6.57132i −0.0749438 0.279694i
\(553\) 19.0476 + 16.2901i 0.809987 + 0.692723i
\(554\) −0.776972 + 0.776972i −0.0330104 + 0.0330104i
\(555\) −4.90548 −0.208226
\(556\) −1.60127 −0.0679090
\(557\) 25.7600 25.7600i 1.09148 1.09148i 0.0961140 0.995370i \(-0.469359\pi\)
0.995370 0.0961140i \(-0.0306413\pi\)
\(558\) −1.17573 2.03643i −0.0497728 0.0862090i
\(559\) −3.49732 + 4.08830i −0.147921 + 0.172917i
\(560\) 1.65304 3.45977i 0.0698538 0.146202i
\(561\) −0.0106051 + 0.0395787i −0.000447747 + 0.00167101i
\(562\) 5.88109 10.1863i 0.248079 0.429685i
\(563\) −19.9769 34.6011i −0.841928 1.45826i −0.888263 0.459336i \(-0.848087\pi\)
0.0463350 0.998926i \(-0.485246\pi\)
\(564\) 20.1442 5.39762i 0.848224 0.227281i
\(565\) −7.42337 + 7.42337i −0.312303 + 0.312303i
\(566\) 9.63296 2.58114i 0.404904 0.108494i
\(567\) −2.49458 + 0.881516i −0.104763 + 0.0370202i
\(568\) 0.880992 1.52592i 0.0369656 0.0640263i
\(569\) −22.6412 13.0719i −0.949167 0.548002i −0.0563450 0.998411i \(-0.517945\pi\)
−0.892822 + 0.450409i \(0.851278\pi\)
\(570\) 0.250478 + 0.250478i 0.0104914 + 0.0104914i
\(571\) −20.3089 11.7254i −0.849902 0.490691i 0.0107157 0.999943i \(-0.496589\pi\)
−0.860618 + 0.509251i \(0.829922\pi\)
\(572\) 4.80587 + 2.29693i 0.200943 + 0.0960396i
\(573\) 22.9951i 0.960634i
\(574\) −12.8779 + 4.55071i −0.537514 + 0.189943i
\(575\) −7.20351 12.4768i −0.300407 0.520320i
\(576\) 0.972206i 0.0405086i
\(577\) 4.20645 + 15.6987i 0.175117 + 0.653544i 0.996532 + 0.0832134i \(0.0265183\pi\)
−0.821415 + 0.570331i \(0.806815\pi\)
\(578\) 2.56192 9.56121i 0.106562 0.397694i
\(579\) 4.77121 + 4.77121i 0.198285 + 0.198285i
\(580\) 6.68028 + 6.68028i 0.277384 + 0.277384i
\(581\) −5.65159 + 11.8286i −0.234467 + 0.490734i
\(582\) −0.562430 + 0.324719i −0.0233135 + 0.0134600i
\(583\) 2.25253 + 8.40655i 0.0932902 + 0.348164i
\(584\) 16.8538 29.1916i 0.697415 1.20796i
\(585\) −1.08316 + 2.26630i −0.0447833 + 0.0937001i
\(586\) 0.0287962 0.0166255i 0.00118956 0.000686792i
\(587\) −25.3256 6.78596i −1.04530 0.280087i −0.304991 0.952355i \(-0.598653\pi\)
−0.740307 + 0.672269i \(0.765320\pi\)
\(588\) −10.8484 4.18084i −0.447382 0.172415i
\(589\) −3.05340 1.76288i −0.125813 0.0726383i
\(590\) 0.928954 3.46690i 0.0382444 0.142730i
\(591\) 12.3342 + 3.30495i 0.507362 + 0.135947i
\(592\) −14.1492 3.79126i −0.581527 0.155820i
\(593\) 2.65816 9.92038i 0.109157 0.407381i −0.889626 0.456690i \(-0.849035\pi\)
0.998784 + 0.0493084i \(0.0157017\pi\)
\(594\) 0.448581 + 0.258989i 0.0184055 + 0.0106264i
\(595\) −0.0480464 0.0700073i −0.00196971 0.00287002i
\(596\) −3.72402 0.997848i −0.152542 0.0408734i
\(597\) −0.719195 + 0.415227i −0.0294347 + 0.0169941i
\(598\) −2.88932 + 6.04532i −0.118153 + 0.247212i
\(599\) 9.56265 16.5630i 0.390719 0.676746i −0.601825 0.798628i \(-0.705560\pi\)
0.992545 + 0.121882i \(0.0388930\pi\)
\(600\) 2.49105 + 9.29672i 0.101697 + 0.379537i
\(601\) 38.9868 22.5091i 1.59031 0.918164i 0.597052 0.802202i \(-0.296339\pi\)
0.993254 0.115961i \(-0.0369948\pi\)
\(602\) −2.29205 + 0.178859i −0.0934169 + 0.00728975i
\(603\) 1.77192 + 1.77192i 0.0721580 + 0.0721580i
\(604\) −16.0042 16.0042i −0.651200 0.651200i
\(605\) 1.84074 6.86975i 0.0748369 0.279295i
\(606\) 2.20165 + 8.21665i 0.0894357 + 0.333779i
\(607\) 47.3844i 1.92328i 0.274323 + 0.961638i \(0.411546\pi\)
−0.274323 + 0.961638i \(0.588454\pi\)
\(608\) 2.39032 + 4.14016i 0.0969404 + 0.167906i
\(609\) 14.0404 16.4172i 0.568946 0.665257i
\(610\) 0.411070i 0.0166437i
\(611\) −40.8473 19.5227i −1.65251 0.789804i
\(612\) −0.0662600 0.0382552i −0.00267840 0.00154638i
\(613\) 28.5133 + 28.5133i 1.15164 + 1.15164i 0.986223 + 0.165420i \(0.0528978\pi\)
0.165420 + 0.986223i \(0.447102\pi\)
\(614\) −12.6360 7.29537i −0.509946 0.294417i
\(615\) 3.08792 5.34843i 0.124517 0.215669i
\(616\) 1.67158 + 4.73036i 0.0673498 + 0.190591i
\(617\) −12.1180 + 3.24702i −0.487854 + 0.130720i −0.494357 0.869259i \(-0.664596\pi\)
0.00650361 + 0.999979i \(0.497930\pi\)
\(618\) −5.22667 + 5.22667i −0.210248 + 0.210248i
\(619\) −8.09314 + 2.16855i −0.325291 + 0.0871614i −0.417769 0.908553i \(-0.637188\pi\)
0.0924781 + 0.995715i \(0.470521\pi\)
\(620\) 2.33612 + 4.04628i 0.0938208 + 0.162502i
\(621\) 1.59558 2.76363i 0.0640284 0.110900i
\(622\) 2.87041 10.7125i 0.115093 0.429532i
\(623\) 11.4071 7.82873i 0.457014 0.313651i
\(624\) −4.87576 + 5.69968i −0.195187 + 0.228170i
\(625\) 8.97776 + 15.5499i 0.359110 + 0.621997i
\(626\) −1.23194 + 1.23194i −0.0492383 + 0.0492383i
\(627\) 0.776649 0.0310164
\(628\) −7.30967 −0.291688
\(629\) −0.229365 + 0.229365i −0.00914538 + 0.00914538i
\(630\) −1.01203 + 0.357623i −0.0403202 + 0.0142481i
\(631\) 3.60680 + 13.4608i 0.143584 + 0.535864i 0.999814 + 0.0192694i \(0.00613403\pi\)
−0.856230 + 0.516595i \(0.827199\pi\)
\(632\) 19.5073 + 5.22695i 0.775957 + 0.207917i
\(633\) −20.0368 + 11.5683i −0.796392 + 0.459797i
\(634\) 0.412327i 0.0163756i
\(635\) 4.79876 1.28582i 0.190433 0.0510264i
\(636\) −16.2509 −0.644390
\(637\) 11.9960 + 22.2058i 0.475300 + 0.879824i
\(638\) −4.22922 −0.167436
\(639\) 0.798336 0.213913i 0.0315817 0.00846228i
\(640\) 8.02309i 0.317140i
\(641\) −41.8233 + 24.1467i −1.65192 + 0.953736i −0.675638 + 0.737234i \(0.736132\pi\)
−0.976282 + 0.216503i \(0.930535\pi\)
\(642\) −6.63306 1.77732i −0.261786 0.0701454i
\(643\) −4.25643 15.8852i −0.167857 0.626451i −0.997658 0.0683924i \(-0.978213\pi\)
0.829801 0.558059i \(-0.188454\pi\)
\(644\) 13.2216 4.67216i 0.521005 0.184109i
\(645\) 0.735063 0.735063i 0.0289431 0.0289431i
\(646\) 0.0234231 0.000921571
\(647\) −14.2020 −0.558336 −0.279168 0.960242i \(-0.590059\pi\)
−0.279168 + 0.960242i \(0.590059\pi\)
\(648\) −1.50746 + 1.50746i −0.0592186 + 0.0592186i
\(649\) −3.93467 6.81505i −0.154449 0.267514i
\(650\) 4.08764 8.55256i 0.160330 0.335459i
\(651\) 8.80856 6.04536i 0.345235 0.236936i
\(652\) −0.131164 + 0.489512i −0.00513680 + 0.0191708i
\(653\) 4.99313 8.64836i 0.195396 0.338436i −0.751634 0.659580i \(-0.770734\pi\)
0.947030 + 0.321144i \(0.104067\pi\)
\(654\) −0.999657 1.73146i −0.0390897 0.0677053i
\(655\) 9.23031 2.47325i 0.360658 0.0966380i
\(656\) 13.0402 13.0402i 0.509136 0.509136i
\(657\) 15.2725 4.09226i 0.595838 0.159654i
\(658\) −6.44573 18.2406i −0.251281 0.711093i
\(659\) 12.1444 21.0347i 0.473079 0.819397i −0.526446 0.850208i \(-0.676476\pi\)
0.999525 + 0.0308117i \(0.00980923\pi\)
\(660\) −0.891307 0.514596i −0.0346941 0.0200306i
\(661\) 17.0003 + 17.0003i 0.661233 + 0.661233i 0.955671 0.294437i \(-0.0951323\pi\)
−0.294437 + 0.955671i \(0.595132\pi\)
\(662\) −4.78681 2.76366i −0.186044 0.107413i
\(663\) 0.0553198 + 0.156611i 0.00214844 + 0.00608225i
\(664\) 10.5632i 0.409931i
\(665\) −1.04602 + 1.22309i −0.0405630 + 0.0474294i
\(666\) 2.05024 + 3.55112i 0.0794453 + 0.137603i
\(667\) 26.0554i 1.00887i
\(668\) −0.176233 0.657709i −0.00681865 0.0254475i
\(669\) −3.71792 + 13.8755i −0.143743 + 0.536457i
\(670\) 0.718851 + 0.718851i 0.0277716 + 0.0277716i
\(671\) 0.637296 + 0.637296i 0.0246025 + 0.0246025i
\(672\) −14.4420 + 1.12698i −0.557114 + 0.0434741i
\(673\) −18.1748 + 10.4933i −0.700589 + 0.404485i −0.807567 0.589776i \(-0.799216\pi\)
0.106978 + 0.994261i \(0.465883\pi\)
\(674\) 4.27382 + 15.9501i 0.164622 + 0.614376i
\(675\) −2.25733 + 3.90981i −0.0868847 + 0.150489i
\(676\) 21.3310 3.34403i 0.820421 0.128617i
\(677\) 42.3269 24.4375i 1.62676 0.939208i 0.641705 0.766952i \(-0.278228\pi\)
0.985052 0.172256i \(-0.0551058\pi\)
\(678\) 8.47643 + 2.27125i 0.325535 + 0.0872269i
\(679\) −1.66963 2.43278i −0.0640746 0.0933617i
\(680\) −0.0592508 0.0342084i −0.00227216 0.00131183i
\(681\) 5.32042 19.8561i 0.203879 0.760886i
\(682\) −2.02031 0.541341i −0.0773618 0.0207290i
\(683\) −39.3645 10.5477i −1.50624 0.403596i −0.591055 0.806631i \(-0.701288\pi\)
−0.915184 + 0.403035i \(0.867955\pi\)
\(684\) −0.375340 + 1.40079i −0.0143515 + 0.0535604i
\(685\) 7.04431 + 4.06703i 0.269149 + 0.155393i
\(686\) −3.08368 + 10.3348i −0.117735 + 0.394584i
\(687\) 3.99397 + 1.07018i 0.152380 + 0.0408300i
\(688\) 2.68828 1.55208i 0.102490 0.0591726i
\(689\) 26.8079 + 22.9327i 1.02130 + 0.873665i
\(690\) 0.647313 1.12118i 0.0246428 0.0426826i
\(691\) −0.836048 3.12017i −0.0318048 0.118697i 0.948198 0.317679i \(-0.102903\pi\)
−0.980003 + 0.198982i \(0.936237\pi\)
\(692\) 2.98595 1.72394i 0.113509 0.0655342i
\(693\) −1.01455 + 2.12342i −0.0385395 + 0.0806620i
\(694\) 9.21538 + 9.21538i 0.349811 + 0.349811i
\(695\) −0.474932 0.474932i −0.0180152 0.0180152i
\(696\) 4.50512 16.8133i 0.170766 0.637307i
\(697\) −0.105694 0.394457i −0.00400346 0.0149411i
\(698\) 5.31385i 0.201132i
\(699\) 0.994594 + 1.72269i 0.0376190 + 0.0651580i
\(700\) −18.7052 + 6.60990i −0.706990 + 0.249831i
\(701\) 8.12097i 0.306725i 0.988170 + 0.153362i \(0.0490102\pi\)
−0.988170 + 0.153362i \(0.950990\pi\)
\(702\) 2.09330 0.163087i 0.0790066 0.00615531i
\(703\) 5.32452 + 3.07411i 0.200818 + 0.115942i
\(704\) −0.611476 0.611476i −0.0230459 0.0230459i
\(705\) 7.57564 + 4.37380i 0.285315 + 0.164727i
\(706\) −0.836893 + 1.44954i −0.0314969 + 0.0545542i
\(707\) −36.4396 + 12.8768i −1.37045 + 0.484281i
\(708\) 14.1934 3.80310i 0.533419 0.142929i
\(709\) −9.64349 + 9.64349i −0.362169 + 0.362169i −0.864611 0.502442i \(-0.832435\pi\)
0.502442 + 0.864611i \(0.332435\pi\)
\(710\) 0.323878 0.0867828i 0.0121549 0.00325690i
\(711\) 4.73655 + 8.20394i 0.177634 + 0.307672i
\(712\) 5.57396 9.65438i 0.208893 0.361813i
\(713\) −3.33510 + 12.4468i −0.124901 + 0.466135i
\(714\) −0.0305980 + 0.0640407i −0.00114510 + 0.00239666i
\(715\) 0.744143 + 2.10667i 0.0278294 + 0.0787850i
\(716\) 11.1376 + 19.2908i 0.416230 + 0.720932i
\(717\) −10.1339 + 10.1339i −0.378459 + 0.378459i
\(718\) −4.69917 −0.175371
\(719\) −28.0584 −1.04640 −0.523200 0.852210i \(-0.675262\pi\)
−0.523200 + 0.852210i \(0.675262\pi\)
\(720\) 1.02478 1.02478i 0.0381915 0.0381915i
\(721\) −25.5220 21.8271i −0.950488 0.812884i
\(722\) 2.74877 + 10.2586i 0.102299 + 0.381784i
\(723\) 26.7166 + 7.15869i 0.993601 + 0.266234i
\(724\) −3.34652 + 1.93211i −0.124372 + 0.0718064i
\(725\) 36.8617i 1.36901i
\(726\) −5.74241 + 1.53867i −0.213121 + 0.0571055i
\(727\) 21.2410 0.787785 0.393893 0.919156i \(-0.371128\pi\)
0.393893 + 0.919156i \(0.371128\pi\)
\(728\) 16.4354 + 11.9775i 0.609136 + 0.443915i
\(729\) −1.00000 −0.0370370
\(730\) 6.19593 1.66019i 0.229322 0.0614466i
\(731\) 0.0687385i 0.00254239i
\(732\) −1.45744 + 0.841452i −0.0538684 + 0.0311010i
\(733\) −8.19585 2.19607i −0.302721 0.0811138i 0.104261 0.994550i \(-0.466752\pi\)
−0.406982 + 0.913436i \(0.633419\pi\)
\(734\) −0.253078 0.944500i −0.00934128 0.0348621i
\(735\) −1.97759 4.45764i −0.0729446 0.164423i
\(736\) 12.3547 12.3547i 0.455399 0.455399i
\(737\) 2.22892 0.0821032
\(738\) −5.16236 −0.190029
\(739\) 15.6168 15.6168i 0.574475 0.574475i −0.358901 0.933376i \(-0.616848\pi\)
0.933376 + 0.358901i \(0.116848\pi\)
\(740\) −4.07372 7.05589i −0.149753 0.259380i
\(741\) 2.59591 1.78111i 0.0953631 0.0654306i
\(742\) 1.17282 + 15.0295i 0.0430555 + 0.551749i
\(743\) −7.10193 + 26.5048i −0.260544 + 0.972365i 0.704377 + 0.709826i \(0.251226\pi\)
−0.964921 + 0.262539i \(0.915440\pi\)
\(744\) 4.30422 7.45513i 0.157800 0.273318i
\(745\) −0.808575 1.40049i −0.0296239 0.0513101i
\(746\) −18.1549 + 4.86459i −0.664699 + 0.178105i
\(747\) −3.50364 + 3.50364i −0.128191 + 0.128191i
\(748\) −0.0657356 + 0.0176138i −0.00240353 + 0.000644024i
\(749\) 5.70596 30.6731i 0.208491 1.12077i
\(750\) −1.93001 + 3.34287i −0.0704739 + 0.122064i
\(751\) −7.00030 4.04163i −0.255445 0.147481i 0.366810 0.930296i \(-0.380450\pi\)
−0.622255 + 0.782815i \(0.713783\pi\)
\(752\) 18.4705 + 18.4705i 0.673549 + 0.673549i
\(753\) 6.79478 + 3.92297i 0.247616 + 0.142961i
\(754\) −14.1359 + 9.69896i −0.514800 + 0.353215i
\(755\) 9.49358i 0.345507i
\(756\) −3.33955 2.85607i −0.121458 0.103874i
\(757\) −15.2508 26.4151i −0.554299 0.960074i −0.997958 0.0638779i \(-0.979653\pi\)
0.443659 0.896196i \(-0.353680\pi\)
\(758\) 12.1128i 0.439956i
\(759\) −0.734651 2.74175i −0.0266661 0.0995194i
\(760\) −0.335635 + 1.25261i −0.0121747 + 0.0454368i
\(761\) 9.95454 + 9.95454i 0.360852 + 0.360852i 0.864126 0.503275i \(-0.167872\pi\)
−0.503275 + 0.864126i \(0.667872\pi\)
\(762\) −2.93646 2.93646i −0.106377 0.106377i
\(763\) 7.48940 5.14001i 0.271135 0.186081i
\(764\) −33.0754 + 19.0961i −1.19663 + 0.690872i
\(765\) −0.00830614 0.0309989i −0.000300309 0.00112077i
\(766\) −8.18928 + 14.1843i −0.295891 + 0.512498i
\(767\) −28.7805 13.7555i −1.03920 0.496681i
\(768\) −4.12408 + 2.38104i −0.148815 + 0.0859182i
\(769\) 3.42800 + 0.918529i 0.123617 + 0.0331230i 0.320097 0.947385i \(-0.396285\pi\)
−0.196480 + 0.980508i \(0.562951\pi\)
\(770\) −0.411593 + 0.861453i −0.0148328 + 0.0310446i
\(771\) −0.315066 0.181903i −0.0113468 0.00655109i
\(772\) −2.90054 + 10.8250i −0.104393 + 0.389599i
\(773\) −47.3633 12.6910i −1.70354 0.456462i −0.729712 0.683754i \(-0.760346\pi\)