Properties

Label 224.2.bd.a.37.13
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.13
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.436149 + 1.34528i) q^{2} +(0.756979 - 0.986515i) q^{3} +(-1.61955 - 1.17348i) q^{4} +(-2.52010 + 1.93374i) q^{5} +(0.996981 + 1.44862i) q^{6} +(-0.259491 + 2.63300i) q^{7} +(2.28503 - 1.66693i) q^{8} +(0.376264 + 1.40424i) q^{9} +O(q^{10})\) \(q+(-0.436149 + 1.34528i) q^{2} +(0.756979 - 0.986515i) q^{3} +(-1.61955 - 1.17348i) q^{4} +(-2.52010 + 1.93374i) q^{5} +(0.996981 + 1.44862i) q^{6} +(-0.259491 + 2.63300i) q^{7} +(2.28503 - 1.66693i) q^{8} +(0.376264 + 1.40424i) q^{9} +(-1.50228 - 4.23364i) q^{10} +(0.371867 - 0.0489572i) q^{11} +(-2.38362 + 0.709405i) q^{12} +(-5.81297 + 2.40781i) q^{13} +(-3.42893 - 1.49747i) q^{14} +3.94992i q^{15} +(1.24587 + 3.80103i) q^{16} +(2.99322 - 1.72814i) q^{17} +(-2.05319 - 0.106276i) q^{18} +(-0.790086 + 6.00130i) q^{19} +(6.35065 - 0.174490i) q^{20} +(2.40106 + 2.24911i) q^{21} +(-0.0963282 + 0.521617i) q^{22} +(-0.841254 - 3.13960i) q^{23} +(0.0852674 - 3.51604i) q^{24} +(1.31746 - 4.91684i) q^{25} +(-0.703855 - 8.87022i) q^{26} +(5.11658 + 2.11936i) q^{27} +(3.51004 - 3.95975i) q^{28} +(-1.74109 - 4.20337i) q^{29} +(-5.31375 - 1.72276i) q^{30} +(1.58784 + 2.75022i) q^{31} +(-5.65682 + 0.0182315i) q^{32} +(0.233198 - 0.403911i) q^{33} +(1.01934 + 4.78045i) q^{34} +(-4.43759 - 7.13721i) q^{35} +(1.03847 - 2.71577i) q^{36} +(4.70183 - 3.60784i) q^{37} +(-7.72883 - 3.68035i) q^{38} +(-2.02496 + 7.55724i) q^{39} +(-2.53509 + 8.61949i) q^{40} +(3.47792 - 3.47792i) q^{41} +(-4.07290 + 2.24914i) q^{42} +(0.953485 - 2.30192i) q^{43} +(-0.659706 - 0.357091i) q^{44} +(-3.66366 - 2.81122i) q^{45} +(4.59055 + 0.237613i) q^{46} +(5.59518 + 3.23038i) q^{47} +(4.69287 + 1.64823i) q^{48} +(-6.86533 - 1.36648i) q^{49} +(6.03991 + 3.91683i) q^{50} +(0.560974 - 4.26102i) q^{51} +(12.2399 + 2.92186i) q^{52} +(11.6032 - 1.52759i) q^{53} +(-5.08272 + 5.95887i) q^{54} +(-0.842472 + 0.842472i) q^{55} +(3.79607 + 6.44902i) q^{56} +(5.32229 + 5.32229i) q^{57} +(6.41408 - 0.508959i) q^{58} +(0.794692 + 6.03629i) q^{59} +(4.63517 - 6.39709i) q^{60} +(-8.43592 - 1.11061i) q^{61} +(-4.39234 + 0.936581i) q^{62} +(-3.79498 + 0.626314i) q^{63} +(2.44269 - 7.61796i) q^{64} +(9.99320 - 17.3087i) q^{65} +(0.441664 + 0.489882i) q^{66} +(-7.97415 + 10.3921i) q^{67} +(-6.87561 - 0.713695i) q^{68} +(-3.73407 - 1.54670i) q^{69} +(11.5370 - 2.85691i) q^{70} +(3.32452 + 3.32452i) q^{71} +(3.20053 + 2.58151i) q^{72} +(6.25354 + 1.67563i) q^{73} +(2.80286 + 7.89883i) q^{74} +(-3.85324 - 5.02165i) q^{75} +(8.32201 - 8.79224i) q^{76} +(0.0324079 + 0.991827i) q^{77} +(-9.28341 - 6.02021i) q^{78} +(10.0098 + 5.77915i) q^{79} +(-10.4899 - 7.16978i) q^{80} +(2.18692 - 1.26262i) q^{81} +(3.16188 + 6.19566i) q^{82} +(-2.66146 + 1.10241i) q^{83} +(-1.24933 - 6.46015i) q^{84} +(-4.20146 + 10.1432i) q^{85} +(2.68086 + 2.28668i) q^{86} +(-5.46465 - 1.46425i) q^{87} +(0.768117 - 0.731744i) q^{88} +(-11.4398 + 3.06527i) q^{89} +(5.37978 - 3.70253i) q^{90} +(-4.83134 - 15.9303i) q^{91} +(-2.32182 + 6.07193i) q^{92} +(3.91509 + 0.515431i) q^{93} +(-6.78609 + 6.11815i) q^{94} +(-9.61388 - 16.6517i) q^{95} +(-4.26411 + 5.59434i) q^{96} -4.79566 q^{97} +(4.83260 - 8.63979i) q^{98} +(0.208667 + 0.503767i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.436149 + 1.34528i −0.308404 + 0.951256i
\(3\) 0.756979 0.986515i 0.437042 0.569564i −0.521958 0.852971i \(-0.674798\pi\)
0.959000 + 0.283407i \(0.0914647\pi\)
\(4\) −1.61955 1.17348i −0.809774 0.586742i
\(5\) −2.52010 + 1.93374i −1.12702 + 0.864797i −0.992024 0.126049i \(-0.959770\pi\)
−0.135001 + 0.990845i \(0.543104\pi\)
\(6\) 0.996981 + 1.44862i 0.407016 + 0.591395i
\(7\) −0.259491 + 2.63300i −0.0980785 + 0.995179i
\(8\) 2.28503 1.66693i 0.807879 0.589349i
\(9\) 0.376264 + 1.40424i 0.125421 + 0.468078i
\(10\) −1.50228 4.23364i −0.475064 1.33880i
\(11\) 0.371867 0.0489572i 0.112122 0.0147611i −0.0742564 0.997239i \(-0.523658\pi\)
0.186378 + 0.982478i \(0.440325\pi\)
\(12\) −2.38362 + 0.709405i −0.688093 + 0.204788i
\(13\) −5.81297 + 2.40781i −1.61223 + 0.667806i −0.993077 0.117466i \(-0.962523\pi\)
−0.619150 + 0.785273i \(0.712523\pi\)
\(14\) −3.42893 1.49747i −0.916421 0.400215i
\(15\) 3.94992i 1.01987i
\(16\) 1.24587 + 3.80103i 0.311468 + 0.950257i
\(17\) 2.99322 1.72814i 0.725963 0.419135i −0.0909802 0.995853i \(-0.529000\pi\)
0.816944 + 0.576718i \(0.195667\pi\)
\(18\) −2.05319 0.106276i −0.483943 0.0250496i
\(19\) −0.790086 + 6.00130i −0.181258 + 1.37679i 0.622865 + 0.782330i \(0.285969\pi\)
−0.804123 + 0.594463i \(0.797365\pi\)
\(20\) 6.35065 0.174490i 1.42005 0.0390172i
\(21\) 2.40106 + 2.24911i 0.523954 + 0.490797i
\(22\) −0.0963282 + 0.521617i −0.0205372 + 0.111209i
\(23\) −0.841254 3.13960i −0.175413 0.654652i −0.996481 0.0838207i \(-0.973288\pi\)
0.821067 0.570831i \(-0.193379\pi\)
\(24\) 0.0852674 3.51604i 0.0174051 0.717709i
\(25\) 1.31746 4.91684i 0.263493 0.983369i
\(26\) −0.703855 8.87022i −0.138037 1.73959i
\(27\) 5.11658 + 2.11936i 0.984687 + 0.407871i
\(28\) 3.51004 3.95975i 0.663334 0.748323i
\(29\) −1.74109 4.20337i −0.323313 0.780546i −0.999057 0.0434100i \(-0.986178\pi\)
0.675745 0.737136i \(-0.263822\pi\)
\(30\) −5.31375 1.72276i −0.970153 0.314531i
\(31\) 1.58784 + 2.75022i 0.285184 + 0.493954i 0.972654 0.232260i \(-0.0746119\pi\)
−0.687470 + 0.726213i \(0.741279\pi\)
\(32\) −5.65682 + 0.0182315i −0.999995 + 0.00322290i
\(33\) 0.233198 0.403911i 0.0405946 0.0703119i
\(34\) 1.01934 + 4.78045i 0.174815 + 0.819840i
\(35\) −4.43759 7.13721i −0.750090 1.20641i
\(36\) 1.03847 2.71577i 0.173078 0.452628i
\(37\) 4.70183 3.60784i 0.772977 0.593126i −0.145151 0.989409i \(-0.546367\pi\)
0.918128 + 0.396283i \(0.129700\pi\)
\(38\) −7.72883 3.68035i −1.25378 0.597031i
\(39\) −2.02496 + 7.55724i −0.324252 + 1.21013i
\(40\) −2.53509 + 8.61949i −0.400833 + 1.36286i
\(41\) 3.47792 3.47792i 0.543160 0.543160i −0.381294 0.924454i \(-0.624521\pi\)
0.924454 + 0.381294i \(0.124521\pi\)
\(42\) −4.07290 + 2.24914i −0.628463 + 0.347050i
\(43\) 0.953485 2.30192i 0.145405 0.351039i −0.834351 0.551233i \(-0.814157\pi\)
0.979756 + 0.200194i \(0.0641574\pi\)
\(44\) −0.659706 0.357091i −0.0994545 0.0538335i
\(45\) −3.66366 2.81122i −0.546146 0.419072i
\(46\) 4.59055 + 0.237613i 0.676840 + 0.0350342i
\(47\) 5.59518 + 3.23038i 0.816141 + 0.471199i 0.849084 0.528258i \(-0.177155\pi\)
−0.0329428 + 0.999457i \(0.510488\pi\)
\(48\) 4.69287 + 1.64823i 0.677357 + 0.237901i
\(49\) −6.86533 1.36648i −0.980761 0.195211i
\(50\) 6.03991 + 3.91683i 0.854173 + 0.553924i
\(51\) 0.560974 4.26102i 0.0785521 0.596663i
\(52\) 12.2399 + 2.92186i 1.69737 + 0.405189i
\(53\) 11.6032 1.52759i 1.59382 0.209831i 0.719259 0.694742i \(-0.244482\pi\)
0.874563 + 0.484912i \(0.161148\pi\)
\(54\) −5.08272 + 5.95887i −0.691671 + 0.810900i
\(55\) −0.842472 + 0.842472i −0.113599 + 0.113599i
\(56\) 3.79607 + 6.44902i 0.507272 + 0.861786i
\(57\) 5.32229 + 5.32229i 0.704955 + 0.704955i
\(58\) 6.41408 0.508959i 0.842209 0.0668296i
\(59\) 0.794692 + 6.03629i 0.103460 + 0.785858i 0.961988 + 0.273091i \(0.0880461\pi\)
−0.858528 + 0.512767i \(0.828621\pi\)
\(60\) 4.63517 6.39709i 0.598398 0.825861i
\(61\) −8.43592 1.11061i −1.08011 0.142199i −0.430592 0.902546i \(-0.641695\pi\)
−0.649517 + 0.760347i \(0.725029\pi\)
\(62\) −4.39234 + 0.936581i −0.557828 + 0.118946i
\(63\) −3.79498 + 0.626314i −0.478123 + 0.0789081i
\(64\) 2.44269 7.61796i 0.305336 0.952245i
\(65\) 9.99320 17.3087i 1.23950 2.14688i
\(66\) 0.441664 + 0.489882i 0.0543651 + 0.0603003i
\(67\) −7.97415 + 10.3921i −0.974197 + 1.26960i −0.0112420 + 0.999937i \(0.503579\pi\)
−0.962955 + 0.269662i \(0.913088\pi\)
\(68\) −6.87561 0.713695i −0.833790 0.0865483i
\(69\) −3.73407 1.54670i −0.449530 0.186201i
\(70\) 11.5370 2.85691i 1.37893 0.341466i
\(71\) 3.32452 + 3.32452i 0.394548 + 0.394548i 0.876305 0.481757i \(-0.160001\pi\)
−0.481757 + 0.876305i \(0.660001\pi\)
\(72\) 3.20053 + 2.58151i 0.377187 + 0.304234i
\(73\) 6.25354 + 1.67563i 0.731921 + 0.196118i 0.605485 0.795857i \(-0.292979\pi\)
0.126437 + 0.991975i \(0.459646\pi\)
\(74\) 2.80286 + 7.89883i 0.325825 + 0.918221i
\(75\) −3.85324 5.02165i −0.444934 0.579850i
\(76\) 8.32201 8.79224i 0.954600 1.00854i
\(77\) 0.0324079 + 0.991827i 0.00369322 + 0.113029i
\(78\) −9.28341 6.02021i −1.05114 0.681655i
\(79\) 10.0098 + 5.77915i 1.12619 + 0.650205i 0.942974 0.332867i \(-0.108016\pi\)
0.183215 + 0.983073i \(0.441350\pi\)
\(80\) −10.4899 7.16978i −1.17281 0.801606i
\(81\) 2.18692 1.26262i 0.242991 0.140291i
\(82\) 3.16188 + 6.19566i 0.349171 + 0.684197i
\(83\) −2.66146 + 1.10241i −0.292133 + 0.121005i −0.523937 0.851757i \(-0.675537\pi\)
0.231804 + 0.972763i \(0.425537\pi\)
\(84\) −1.24933 6.46015i −0.136313 0.704860i
\(85\) −4.20146 + 10.1432i −0.455712 + 1.10019i
\(86\) 2.68086 + 2.28668i 0.289084 + 0.246579i
\(87\) −5.46465 1.46425i −0.585872 0.156984i
\(88\) 0.768117 0.731744i 0.0818815 0.0780041i
\(89\) −11.4398 + 3.06527i −1.21261 + 0.324918i −0.807786 0.589475i \(-0.799335\pi\)
−0.404826 + 0.914394i \(0.632668\pi\)
\(90\) 5.37978 3.70253i 0.567078 0.390280i
\(91\) −4.83134 15.9303i −0.506462 1.66995i
\(92\) −2.32182 + 6.07193i −0.242066 + 0.633043i
\(93\) 3.91509 + 0.515431i 0.405976 + 0.0534477i
\(94\) −6.78609 + 6.11815i −0.699932 + 0.631039i
\(95\) −9.61388 16.6517i −0.986363 1.70843i
\(96\) −4.26411 + 5.59434i −0.435204 + 0.570970i
\(97\) −4.79566 −0.486926 −0.243463 0.969910i \(-0.578283\pi\)
−0.243463 + 0.969910i \(0.578283\pi\)
\(98\) 4.83260 8.63979i 0.488166 0.872751i
\(99\) 0.208667 + 0.503767i 0.0209719 + 0.0506305i
\(100\) −7.90353 + 6.41704i −0.790353 + 0.641704i
\(101\) 1.15349 + 8.76166i 0.114777 + 0.871818i 0.947864 + 0.318676i \(0.103238\pi\)
−0.833087 + 0.553142i \(0.813429\pi\)
\(102\) 5.48759 + 2.61311i 0.543353 + 0.258736i
\(103\) 6.70108 1.79555i 0.660277 0.176921i 0.0869061 0.996217i \(-0.472302\pi\)
0.573371 + 0.819296i \(0.305635\pi\)
\(104\) −9.26913 + 15.1917i −0.908913 + 1.48967i
\(105\) −10.4001 1.02497i −1.01495 0.100027i
\(106\) −3.00569 + 16.2758i −0.291938 + 1.58084i
\(107\) −6.95900 9.06914i −0.672752 0.876747i 0.324864 0.945761i \(-0.394681\pi\)
−0.997616 + 0.0690137i \(0.978015\pi\)
\(108\) −5.79952 9.43663i −0.558059 0.908040i
\(109\) −6.14837 4.71781i −0.588907 0.451884i 0.270826 0.962628i \(-0.412703\pi\)
−0.859733 + 0.510744i \(0.829370\pi\)
\(110\) −0.765916 1.50080i −0.0730272 0.143096i
\(111\) 7.36949i 0.699481i
\(112\) −10.3314 + 2.29404i −0.976223 + 0.216767i
\(113\) 5.24640i 0.493540i 0.969074 + 0.246770i \(0.0793693\pi\)
−0.969074 + 0.246770i \(0.920631\pi\)
\(114\) −9.48128 + 4.83865i −0.888003 + 0.453181i
\(115\) 8.19123 + 6.28535i 0.763836 + 0.586112i
\(116\) −2.11280 + 8.85070i −0.196169 + 0.821767i
\(117\) −5.56834 7.25680i −0.514793 0.670892i
\(118\) −8.46709 1.56364i −0.779459 0.143945i
\(119\) 3.77347 + 8.32958i 0.345913 + 0.763571i
\(120\) 6.58424 + 9.02568i 0.601056 + 0.823928i
\(121\) −10.4893 + 2.81060i −0.953572 + 0.255509i
\(122\) 5.17340 10.8643i 0.468377 0.983605i
\(123\) −0.798306 6.06373i −0.0719808 0.546748i
\(124\) 0.655754 6.31741i 0.0588884 0.567320i
\(125\) 0.109757 + 0.264978i 0.00981700 + 0.0237003i
\(126\) 0.812611 5.37847i 0.0723931 0.479153i
\(127\) 21.1168 1.87381 0.936906 0.349581i \(-0.113676\pi\)
0.936906 + 0.349581i \(0.113676\pi\)
\(128\) 9.18289 + 6.60866i 0.811661 + 0.584129i
\(129\) −1.54911 2.68313i −0.136391 0.236236i
\(130\) 18.9265 + 20.9928i 1.65997 + 1.84119i
\(131\) 2.08472 + 0.274458i 0.182143 + 0.0239795i 0.221046 0.975263i \(-0.429053\pi\)
−0.0389030 + 0.999243i \(0.512386\pi\)
\(132\) −0.851659 + 0.380499i −0.0741274 + 0.0331182i
\(133\) −15.5964 3.63758i −1.35238 0.315418i
\(134\) −10.5024 15.2600i −0.907266 1.31826i
\(135\) −16.9926 + 4.55316i −1.46249 + 0.391874i
\(136\) 3.95891 8.93834i 0.339474 0.766456i
\(137\) 2.61816 + 0.701533i 0.223684 + 0.0599360i 0.368920 0.929461i \(-0.379728\pi\)
−0.145236 + 0.989397i \(0.546394\pi\)
\(138\) 3.70936 4.34878i 0.315762 0.370192i
\(139\) 4.57345 11.0413i 0.387915 0.936510i −0.602466 0.798144i \(-0.705815\pi\)
0.990381 0.138365i \(-0.0441848\pi\)
\(140\) −1.18850 + 16.7665i −0.100447 + 1.41703i
\(141\) 7.42225 3.07440i 0.625066 0.258911i
\(142\) −5.92239 + 3.02242i −0.496996 + 0.253636i
\(143\) −2.04377 + 1.17997i −0.170909 + 0.0986741i
\(144\) −4.86876 + 3.17969i −0.405730 + 0.264974i
\(145\) 12.5160 + 7.22610i 1.03939 + 0.600095i
\(146\) −4.98166 + 7.68192i −0.412285 + 0.635761i
\(147\) −6.54496 + 5.73835i −0.539819 + 0.473291i
\(148\) −11.8486 + 0.325552i −0.973948 + 0.0267602i
\(149\) 8.25492 + 10.7580i 0.676269 + 0.881331i 0.997849 0.0655512i \(-0.0208806\pi\)
−0.321580 + 0.946882i \(0.604214\pi\)
\(150\) 8.43610 2.99350i 0.688805 0.244418i
\(151\) 1.73237 + 0.464188i 0.140979 + 0.0377751i 0.328618 0.944463i \(-0.393417\pi\)
−0.187640 + 0.982238i \(0.560084\pi\)
\(152\) 8.19838 + 15.0302i 0.664976 + 1.21911i
\(153\) 3.55295 + 3.55295i 0.287239 + 0.287239i
\(154\) −1.34842 0.388987i −0.108659 0.0313454i
\(155\) −9.31973 3.86036i −0.748579 0.310072i
\(156\) 12.1478 9.86306i 0.972603 0.789677i
\(157\) 1.49146 1.94371i 0.119032 0.155125i −0.730037 0.683408i \(-0.760497\pi\)
0.849069 + 0.528283i \(0.177164\pi\)
\(158\) −12.1403 + 10.9454i −0.965832 + 0.870767i
\(159\) 7.27639 12.6031i 0.577055 0.999489i
\(160\) 14.2205 10.9848i 1.12423 0.868424i
\(161\) 8.48485 1.40032i 0.668700 0.110361i
\(162\) 0.744750 + 3.49270i 0.0585131 + 0.274412i
\(163\) 12.5454 + 1.65163i 0.982630 + 0.129366i 0.604687 0.796463i \(-0.293298\pi\)
0.377943 + 0.925829i \(0.376632\pi\)
\(164\) −9.71394 + 1.55138i −0.758531 + 0.121142i
\(165\) 0.193377 + 1.46884i 0.0150544 + 0.114349i
\(166\) −0.322259 4.06122i −0.0250121 0.315211i
\(167\) −5.47705 5.47705i −0.423827 0.423827i 0.462692 0.886519i \(-0.346883\pi\)
−0.886519 + 0.462692i \(0.846883\pi\)
\(168\) 9.23560 + 1.13689i 0.712542 + 0.0877130i
\(169\) 18.8007 18.8007i 1.44620 1.44620i
\(170\) −11.8130 10.0761i −0.906015 0.772800i
\(171\) −8.72452 + 1.14861i −0.667181 + 0.0878360i
\(172\) −4.24548 + 2.60916i −0.323714 + 0.198947i
\(173\) 3.17450 24.1127i 0.241353 1.83325i −0.257156 0.966370i \(-0.582785\pi\)
0.498509 0.866885i \(-0.333881\pi\)
\(174\) 4.35323 6.71285i 0.330017 0.508900i
\(175\) 12.6042 + 4.74475i 0.952785 + 0.358670i
\(176\) 0.649386 + 1.35248i 0.0489493 + 0.101947i
\(177\) 6.55645 + 3.78537i 0.492813 + 0.284526i
\(178\) 0.865792 16.7266i 0.0648939 1.25371i
\(179\) 8.04970 + 6.17676i 0.601663 + 0.461672i 0.864130 0.503269i \(-0.167869\pi\)
−0.262467 + 0.964941i \(0.584536\pi\)
\(180\) 2.63454 + 8.85215i 0.196367 + 0.659800i
\(181\) −9.45866 + 22.8352i −0.703057 + 1.69733i 0.0136035 + 0.999907i \(0.495670\pi\)
−0.716660 + 0.697422i \(0.754330\pi\)
\(182\) 23.5379 + 0.448498i 1.74475 + 0.0332449i
\(183\) −7.48145 + 7.48145i −0.553045 + 0.553045i
\(184\) −7.15578 5.77176i −0.527531 0.425500i
\(185\) −4.87247 + 18.1843i −0.358231 + 1.33694i
\(186\) −2.40096 + 5.04208i −0.176047 + 0.369703i
\(187\) 1.02848 0.789177i 0.0752095 0.0577103i
\(188\) −5.27087 11.7976i −0.384418 0.860429i
\(189\) −6.90797 + 12.9220i −0.502481 + 0.939936i
\(190\) 26.5943 5.67071i 1.92935 0.411397i
\(191\) −7.65221 + 13.2540i −0.553694 + 0.959027i 0.444310 + 0.895873i \(0.353449\pi\)
−0.998004 + 0.0631533i \(0.979884\pi\)
\(192\) −5.66616 8.17639i −0.408920 0.590080i
\(193\) 3.37960 + 5.85364i 0.243269 + 0.421354i 0.961644 0.274302i \(-0.0884469\pi\)
−0.718374 + 0.695657i \(0.755114\pi\)
\(194\) 2.09162 6.45150i 0.150170 0.463191i
\(195\) −9.51066 22.9608i −0.681073 1.64426i
\(196\) 9.51519 + 10.2694i 0.679656 + 0.733531i
\(197\) −8.19378 3.39398i −0.583783 0.241811i 0.0711905 0.997463i \(-0.477320\pi\)
−0.654973 + 0.755652i \(0.727320\pi\)
\(198\) −0.768717 + 0.0609980i −0.0546304 + 0.00433494i
\(199\) −2.56836 + 9.58524i −0.182066 + 0.679480i 0.813174 + 0.582021i \(0.197738\pi\)
−0.995240 + 0.0974584i \(0.968929\pi\)
\(200\) −5.18559 13.4312i −0.366677 0.949732i
\(201\) 4.21570 + 15.7332i 0.297353 + 1.10974i
\(202\) −12.2900 2.26962i −0.864719 0.159690i
\(203\) 11.5192 3.49355i 0.808493 0.245199i
\(204\) −5.90877 + 6.24264i −0.413696 + 0.437072i
\(205\) −2.03931 + 15.4901i −0.142432 + 1.08188i
\(206\) −0.507156 + 9.79795i −0.0353352 + 0.682655i
\(207\) 4.09221 2.36264i 0.284428 0.164215i
\(208\) −16.3944 19.0954i −1.13674 1.32403i
\(209\) 2.27036i 0.157044i
\(210\) 5.91488 13.5440i 0.408165 0.934627i
\(211\) 6.18184 2.56060i 0.425576 0.176279i −0.159607 0.987181i \(-0.551023\pi\)
0.585183 + 0.810901i \(0.301023\pi\)
\(212\) −20.5845 11.1422i −1.41375 0.765247i
\(213\) 5.79628 0.763095i 0.397155 0.0522864i
\(214\) 15.2357 5.40629i 1.04149 0.369566i
\(215\) 2.04843 + 7.64486i 0.139702 + 0.521375i
\(216\) 15.2244 3.68619i 1.03589 0.250814i
\(217\) −7.65334 + 3.46711i −0.519542 + 0.235363i
\(218\) 9.02837 6.21360i 0.611478 0.420838i
\(219\) 6.38683 4.90079i 0.431582 0.331165i
\(220\) 2.35305 0.375797i 0.158643 0.0253362i
\(221\) −13.2385 + 17.2527i −0.890517 + 1.16054i
\(222\) 9.91402 + 3.21420i 0.665385 + 0.215723i
\(223\) −10.4443 −0.699401 −0.349700 0.936862i \(-0.613717\pi\)
−0.349700 + 0.936862i \(0.613717\pi\)
\(224\) 1.41989 14.8991i 0.0948706 0.995490i
\(225\) 7.40012 0.493341
\(226\) −7.05788 2.28821i −0.469483 0.152210i
\(227\) 9.62947 12.5494i 0.639131 0.832931i −0.355687 0.934605i \(-0.615753\pi\)
0.994818 + 0.101674i \(0.0324198\pi\)
\(228\) −2.37409 14.8653i −0.157228 0.984481i
\(229\) 10.7853 8.27584i 0.712711 0.546883i −0.187538 0.982257i \(-0.560051\pi\)
0.900249 + 0.435375i \(0.143384\pi\)
\(230\) −12.0281 + 8.27814i −0.793112 + 0.545844i
\(231\) 1.00298 + 0.718822i 0.0659915 + 0.0472950i
\(232\) −10.9852 6.70253i −0.721211 0.440043i
\(233\) −1.14913 4.28861i −0.0752820 0.280956i 0.918015 0.396545i \(-0.129791\pi\)
−0.993297 + 0.115589i \(0.963124\pi\)
\(234\) 12.1910 4.32592i 0.796954 0.282794i
\(235\) −20.3472 + 2.67876i −1.32730 + 0.174743i
\(236\) 5.79644 10.7086i 0.377316 0.697072i
\(237\) 13.2784 5.50010i 0.862526 0.357270i
\(238\) −12.8514 + 1.44342i −0.833032 + 0.0935632i
\(239\) 0.341372i 0.0220815i 0.999939 + 0.0110408i \(0.00351446\pi\)
−0.999939 + 0.0110408i \(0.996486\pi\)
\(240\) −15.0138 + 4.92110i −0.969134 + 0.317656i
\(241\) −4.79262 + 2.76702i −0.308720 + 0.178239i −0.646353 0.763038i \(-0.723707\pi\)
0.337634 + 0.941278i \(0.390374\pi\)
\(242\) 0.793858 15.3369i 0.0510311 0.985891i
\(243\) −1.75876 + 13.3591i −0.112825 + 0.856988i
\(244\) 12.3591 + 11.6981i 0.791210 + 0.748894i
\(245\) 19.9438 9.83212i 1.27416 0.628151i
\(246\) 8.50559 + 1.57075i 0.542297 + 0.100147i
\(247\) −9.85725 36.7877i −0.627202 2.34075i
\(248\) 8.21267 + 3.63750i 0.521505 + 0.230982i
\(249\) −0.927122 + 3.46007i −0.0587540 + 0.219273i
\(250\) −0.404340 + 0.0320845i −0.0255727 + 0.00202920i
\(251\) 4.79096 + 1.98448i 0.302402 + 0.125259i 0.528725 0.848793i \(-0.322670\pi\)
−0.226322 + 0.974052i \(0.572670\pi\)
\(252\) 6.88113 + 3.43900i 0.433470 + 0.216637i
\(253\) −0.466540 1.12633i −0.0293311 0.0708116i
\(254\) −9.21007 + 28.4080i −0.577891 + 1.78247i
\(255\) 6.82601 + 11.8230i 0.427462 + 0.740385i
\(256\) −12.8956 + 9.47119i −0.805975 + 0.591949i
\(257\) 0.182664 0.316383i 0.0113943 0.0197354i −0.860272 0.509835i \(-0.829706\pi\)
0.871666 + 0.490100i \(0.163040\pi\)
\(258\) 4.28520 0.913734i 0.266785 0.0568866i
\(259\) 8.27935 + 13.3161i 0.514454 + 0.827423i
\(260\) −36.4960 + 16.3055i −2.26338 + 1.01122i
\(261\) 5.24741 4.02648i 0.324806 0.249233i
\(262\) −1.27847 + 2.68482i −0.0789842 + 0.165869i
\(263\) 6.89813 25.7442i 0.425357 1.58745i −0.337786 0.941223i \(-0.609678\pi\)
0.763143 0.646230i \(-0.223655\pi\)
\(264\) −0.140427 1.31167i −0.00864271 0.0807279i
\(265\) −26.2873 + 26.2873i −1.61482 + 1.61482i
\(266\) 11.6959 19.3949i 0.717122 1.18918i
\(267\) −5.63572 + 13.6058i −0.344901 + 0.832664i
\(268\) 25.1095 7.47299i 1.53381 0.456486i
\(269\) 2.08381 + 1.59896i 0.127052 + 0.0974906i 0.670333 0.742061i \(-0.266151\pi\)
−0.543281 + 0.839551i \(0.682818\pi\)
\(270\) 1.28605 24.8457i 0.0782664 1.51206i
\(271\) 3.30653 + 1.90903i 0.200857 + 0.115965i 0.597055 0.802200i \(-0.296337\pi\)
−0.396198 + 0.918165i \(0.629671\pi\)
\(272\) 10.2979 + 9.22428i 0.624400 + 0.559304i
\(273\) −19.3727 7.29274i −1.17249 0.441377i
\(274\) −2.08566 + 3.21618i −0.126000 + 0.194296i
\(275\) 0.249206 1.89291i 0.0150277 0.114147i
\(276\) 4.23248 + 6.88684i 0.254765 + 0.414539i
\(277\) 7.67168 1.01000i 0.460947 0.0606848i 0.103523 0.994627i \(-0.466989\pi\)
0.357424 + 0.933942i \(0.383655\pi\)
\(278\) 12.8589 + 10.9682i 0.771225 + 0.657829i
\(279\) −3.26451 + 3.26451i −0.195441 + 0.195441i
\(280\) −22.0372 8.91156i −1.31698 0.532568i
\(281\) −19.8264 19.8264i −1.18274 1.18274i −0.979031 0.203710i \(-0.934700\pi\)
−0.203710 0.979031i \(-0.565300\pi\)
\(282\) 0.898713 + 11.3259i 0.0535176 + 0.674447i
\(283\) −1.44667 10.9886i −0.0859958 0.653203i −0.979104 0.203361i \(-0.934814\pi\)
0.893108 0.449842i \(-0.148520\pi\)
\(284\) −1.48295 9.28550i −0.0879970 0.550993i
\(285\) −23.7047 3.12078i −1.40414 0.184859i
\(286\) −0.696001 3.26408i −0.0411554 0.193009i
\(287\) 8.25486 + 10.0598i 0.487269 + 0.593813i
\(288\) −2.15406 7.93665i −0.126929 0.467672i
\(289\) −2.52707 + 4.37702i −0.148651 + 0.257472i
\(290\) −15.1799 + 13.6858i −0.891397 + 0.803658i
\(291\) −3.63022 + 4.73099i −0.212807 + 0.277336i
\(292\) −8.16158 10.0522i −0.477620 0.588260i
\(293\) 12.9244 + 5.35348i 0.755054 + 0.312754i 0.726802 0.686847i \(-0.241006\pi\)
0.0282521 + 0.999601i \(0.491006\pi\)
\(294\) −4.86510 11.3076i −0.283738 0.659471i
\(295\) −13.6753 13.6753i −0.796209 0.796209i
\(296\) 4.72979 16.0816i 0.274914 0.934727i
\(297\) 2.00644 + 0.537625i 0.116426 + 0.0311962i
\(298\) −18.0729 + 6.41306i −1.04694 + 0.371499i
\(299\) 12.4497 + 16.2248i 0.719987 + 0.938306i
\(300\) 0.347696 + 12.6545i 0.0200742 + 0.730609i
\(301\) 5.81351 + 3.10785i 0.335085 + 0.179133i
\(302\) −1.38004 + 2.12807i −0.0794121 + 0.122457i
\(303\) 9.51668 + 5.49446i 0.546719 + 0.315648i
\(304\) −23.7955 + 4.47372i −1.36476 + 0.256585i
\(305\) 23.4070 13.5141i 1.34028 0.773813i
\(306\) −6.32933 + 3.23010i −0.361824 + 0.184652i
\(307\) −7.18125 + 2.97457i −0.409856 + 0.169768i −0.578078 0.815981i \(-0.696197\pi\)
0.168223 + 0.985749i \(0.446197\pi\)
\(308\) 1.11141 1.64434i 0.0633283 0.0936951i
\(309\) 3.30124 7.96991i 0.187801 0.453392i
\(310\) 9.25805 10.8539i 0.525822 0.616463i
\(311\) 12.5603 + 3.36552i 0.712230 + 0.190841i 0.596702 0.802463i \(-0.296477\pi\)
0.115528 + 0.993304i \(0.463144\pi\)
\(312\) 7.97031 + 20.6440i 0.451230 + 1.16873i
\(313\) 7.79717 2.08925i 0.440722 0.118091i −0.0316327 0.999500i \(-0.510071\pi\)
0.472355 + 0.881408i \(0.343404\pi\)
\(314\) 1.96433 + 2.85418i 0.110854 + 0.161071i
\(315\) 8.35262 8.91690i 0.470617 0.502410i
\(316\) −9.42959 21.1059i −0.530456 1.18730i
\(317\) 17.7279 + 2.33392i 0.995698 + 0.131086i 0.610726 0.791842i \(-0.290878\pi\)
0.384972 + 0.922928i \(0.374211\pi\)
\(318\) 13.7811 + 15.2856i 0.772803 + 0.857173i
\(319\) −0.853239 1.47785i −0.0477722 0.0827439i
\(320\) 8.57534 + 23.9216i 0.479376 + 1.33726i
\(321\) −14.2147 −0.793385
\(322\) −1.81684 + 12.0252i −0.101249 + 0.670140i
\(323\) 8.00618 + 19.3286i 0.445475 + 1.07547i
\(324\) −5.02348 0.521442i −0.279082 0.0289690i
\(325\) 4.18045 + 31.7537i 0.231890 + 1.76138i
\(326\) −7.69356 + 16.1567i −0.426107 + 0.894835i
\(327\) −9.30837 + 2.49417i −0.514754 + 0.137928i
\(328\) 2.14969 13.7446i 0.118697 0.758918i
\(329\) −9.95748 + 13.8938i −0.548973 + 0.765992i
\(330\) −2.06035 0.380489i −0.113418 0.0209452i
\(331\) 7.33144 + 9.55452i 0.402973 + 0.525164i 0.950125 0.311869i \(-0.100955\pi\)
−0.547153 + 0.837033i \(0.684288\pi\)
\(332\) 5.60402 + 1.33777i 0.307560 + 0.0734195i
\(333\) 6.83539 + 5.24498i 0.374577 + 0.287423i
\(334\) 9.75696 4.97934i 0.533877 0.272458i
\(335\) 41.6092i 2.27335i
\(336\) −5.55753 + 11.9286i −0.303188 + 0.650758i
\(337\) 6.60738i 0.359927i −0.983673 0.179963i \(-0.942402\pi\)
0.983673 0.179963i \(-0.0575979\pi\)
\(338\) 17.0922 + 33.4920i 0.929695 + 1.82172i
\(339\) 5.17565 + 3.97142i 0.281103 + 0.215698i
\(340\) 18.7074 11.4971i 1.01455 0.623517i
\(341\) 0.725107 + 0.944978i 0.0392667 + 0.0511734i
\(342\) 2.26000 12.2379i 0.122207 0.661748i
\(343\) 5.37942 17.7218i 0.290462 0.956887i
\(344\) −1.65839 6.84933i −0.0894146 0.369291i
\(345\) 12.4012 3.32289i 0.667657 0.178898i
\(346\) 31.0537 + 14.7873i 1.66946 + 0.794971i
\(347\) 2.86524 + 21.7637i 0.153814 + 1.16833i 0.877976 + 0.478705i \(0.158894\pi\)
−0.724162 + 0.689630i \(0.757773\pi\)
\(348\) 7.13200 + 8.78410i 0.382315 + 0.470877i
\(349\) 0.537281 + 1.29711i 0.0287600 + 0.0694328i 0.937607 0.347697i \(-0.113036\pi\)
−0.908847 + 0.417130i \(0.863036\pi\)
\(350\) −11.8803 + 14.8867i −0.635029 + 0.795726i
\(351\) −34.8455 −1.85992
\(352\) −2.10269 + 0.283722i −0.112074 + 0.0151224i
\(353\) −14.4794 25.0790i −0.770659 1.33482i −0.937202 0.348786i \(-0.886594\pi\)
0.166543 0.986034i \(-0.446739\pi\)
\(354\) −7.95197 + 7.16927i −0.422642 + 0.381042i
\(355\) −14.8069 1.94937i −0.785870 0.103462i
\(356\) 22.1243 + 8.46001i 1.17259 + 0.448380i
\(357\) 11.0737 + 2.58274i 0.586082 + 0.136693i
\(358\) −11.8203 + 8.13511i −0.624724 + 0.429954i
\(359\) −14.8064 + 3.96737i −0.781453 + 0.209390i −0.627425 0.778677i \(-0.715891\pi\)
−0.154028 + 0.988066i \(0.549225\pi\)
\(360\) −13.0577 0.316661i −0.688199 0.0166895i
\(361\) −17.0388 4.56553i −0.896779 0.240291i
\(362\) −26.5944 22.6841i −1.39777 1.19225i
\(363\) −5.16748 + 12.4754i −0.271223 + 0.654789i
\(364\) −10.8694 + 31.4694i −0.569711 + 1.64945i
\(365\) −18.9998 + 7.86998i −0.994495 + 0.411933i
\(366\) −6.80161 13.3277i −0.355526 0.696648i
\(367\) −29.1816 + 16.8480i −1.52327 + 0.879458i −0.523644 + 0.851937i \(0.675428\pi\)
−0.999621 + 0.0275203i \(0.991239\pi\)
\(368\) 10.8856 7.10917i 0.567452 0.370591i
\(369\) 6.19243 + 3.57520i 0.322365 + 0.186118i
\(370\) −22.3378 14.4859i −1.16129 0.753085i
\(371\) 1.01121 + 30.9476i 0.0524994 + 1.60672i
\(372\) −5.73583 5.42906i −0.297389 0.281484i
\(373\) −20.5591 26.7931i −1.06451 1.38729i −0.917304 0.398188i \(-0.869639\pi\)
−0.147204 0.989106i \(-0.547028\pi\)
\(374\) 0.613094 + 1.72778i 0.0317023 + 0.0893416i
\(375\) 0.344489 + 0.0923054i 0.0177893 + 0.00476663i
\(376\) 18.1700 1.94527i 0.937044 0.100320i
\(377\) 20.2418 + 20.2418i 1.04251 + 1.04251i
\(378\) −14.3708 14.9291i −0.739152 0.767868i
\(379\) 27.9121 + 11.5616i 1.43375 + 0.593877i 0.958273 0.285853i \(-0.0922771\pi\)
0.475473 + 0.879731i \(0.342277\pi\)
\(380\) −3.97039 + 38.2500i −0.203677 + 1.96218i
\(381\) 15.9850 20.8320i 0.818935 1.06726i
\(382\) −14.4928 16.0751i −0.741518 0.822472i
\(383\) 11.6683 20.2100i 0.596221 1.03268i −0.397153 0.917752i \(-0.630002\pi\)
0.993373 0.114932i \(-0.0366650\pi\)
\(384\) 13.4708 4.05644i 0.687429 0.207004i
\(385\) −1.99961 2.43684i −0.101910 0.124193i
\(386\) −9.34879 + 1.99345i −0.475841 + 0.101464i
\(387\) 3.59119 + 0.472790i 0.182551 + 0.0240332i
\(388\) 7.76680 + 5.62763i 0.394300 + 0.285700i
\(389\) −4.07539 30.9556i −0.206630 1.56951i −0.709220 0.704987i \(-0.750953\pi\)
0.502590 0.864525i \(-0.332381\pi\)
\(390\) 35.0367 2.78017i 1.77415 0.140780i
\(391\) −7.94373 7.94373i −0.401731 0.401731i
\(392\) −17.9653 + 8.32158i −0.907384 + 0.420303i
\(393\) 1.84885 1.84885i 0.0932619 0.0932619i
\(394\) 8.13955 9.54264i 0.410065 0.480751i
\(395\) −36.4011 + 4.79230i −1.83154 + 0.241127i
\(396\) 0.253216 1.06074i 0.0127246 0.0533044i
\(397\) 2.19735 16.6905i 0.110282 0.837674i −0.843490 0.537144i \(-0.819503\pi\)
0.953772 0.300530i \(-0.0971636\pi\)
\(398\) −11.7746 7.63575i −0.590209 0.382746i
\(399\) −15.3947 + 12.6325i −0.770697 + 0.632415i
\(400\) 20.3304 1.11804i 1.01652 0.0559021i
\(401\) −3.21196 1.85442i −0.160397 0.0926055i 0.417653 0.908607i \(-0.362853\pi\)
−0.578050 + 0.816001i \(0.696186\pi\)
\(402\) −23.0042 1.19073i −1.14735 0.0593884i
\(403\) −15.8521 12.1637i −0.789647 0.605917i
\(404\) 8.41353 15.5435i 0.418589 0.773320i
\(405\) −3.06968 + 7.41086i −0.152534 + 0.368249i
\(406\) −0.324310 + 17.0203i −0.0160952 + 0.844703i
\(407\) 1.57183 1.57183i 0.0779125 0.0779125i
\(408\) −5.82098 10.6717i −0.288182 0.528326i
\(409\) 2.91070 10.8629i 0.143925 0.537134i −0.855876 0.517181i \(-0.826982\pi\)
0.999801 0.0199534i \(-0.00635178\pi\)
\(410\) −19.9491 9.49945i −0.985215 0.469144i
\(411\) 2.67396 2.05180i 0.131897 0.101208i
\(412\) −12.9598 4.95563i −0.638482 0.244146i
\(413\) −16.0997 + 0.526058i −0.792216 + 0.0258856i
\(414\) 1.39359 + 6.53562i 0.0684913 + 0.321208i
\(415\) 4.57537 7.92477i 0.224596 0.389012i
\(416\) 32.8390 13.7265i 1.61007 0.672999i
\(417\) −7.43038 12.8698i −0.363867 0.630237i
\(418\) −3.05427 0.990217i −0.149389 0.0484331i
\(419\) 1.89310 + 4.57034i 0.0924838 + 0.223276i 0.963352 0.268242i \(-0.0864425\pi\)
−0.870868 + 0.491517i \(0.836443\pi\)
\(420\) 15.6407 + 13.8644i 0.763189 + 0.676512i
\(421\) 1.26507 + 0.524008i 0.0616556 + 0.0255386i 0.413298 0.910596i \(-0.364377\pi\)
−0.351643 + 0.936134i \(0.614377\pi\)
\(422\) 0.748520 + 9.43311i 0.0364374 + 0.459196i
\(423\) −2.43095 + 9.07243i −0.118197 + 0.441117i
\(424\) 23.9672 22.8323i 1.16395 1.10883i
\(425\) −4.55352 16.9940i −0.220878 0.824329i
\(426\) −1.50147 + 8.13044i −0.0727463 + 0.393921i
\(427\) 5.11328 21.9235i 0.247449 1.06095i
\(428\) 0.627942 + 22.8542i 0.0303527 + 1.10470i
\(429\) −0.383032 + 2.90942i −0.0184930 + 0.140468i
\(430\) −11.1779 0.578584i −0.539046 0.0279018i
\(431\) −5.49609 + 3.17317i −0.264737 + 0.152846i −0.626494 0.779427i \(-0.715511\pi\)
0.361756 + 0.932273i \(0.382177\pi\)
\(432\) −1.68113 + 22.0887i −0.0808833 + 1.06274i
\(433\) 16.1671i 0.776941i −0.921461 0.388470i \(-0.873004\pi\)
0.921461 0.388470i \(-0.126996\pi\)
\(434\) −1.32624 11.8080i −0.0636615 0.566805i
\(435\) 16.6030 6.87718i 0.796052 0.329736i
\(436\) 4.42131 + 14.8557i 0.211742 + 0.711460i
\(437\) 19.5064 2.56806i 0.933116 0.122847i
\(438\) 3.80731 + 10.7295i 0.181921 + 0.512677i
\(439\) −0.895877 3.34346i −0.0427579 0.159575i 0.941246 0.337722i \(-0.109656\pi\)
−0.984004 + 0.178147i \(0.942990\pi\)
\(440\) −0.520729 + 3.32941i −0.0248248 + 0.158723i
\(441\) −0.664317 10.1547i −0.0316341 0.483557i
\(442\) −17.4358 25.3342i −0.829335 1.20503i
\(443\) −19.0134 + 14.5895i −0.903354 + 0.693168i −0.952147 0.305641i \(-0.901129\pi\)
0.0487928 + 0.998809i \(0.484463\pi\)
\(444\) −8.64798 + 11.9352i −0.410415 + 0.566422i
\(445\) 22.9019 29.8464i 1.08566 1.41485i
\(446\) 4.55526 14.0505i 0.215698 0.665309i
\(447\) 16.8617 0.797533
\(448\) 19.4242 + 8.40839i 0.917707 + 0.397259i
\(449\) −6.58655 −0.310838 −0.155419 0.987849i \(-0.549673\pi\)
−0.155419 + 0.987849i \(0.549673\pi\)
\(450\) −3.22755 + 9.95522i −0.152148 + 0.469294i
\(451\) 1.12305 1.46359i 0.0528825 0.0689178i
\(452\) 6.15657 8.49681i 0.289581 0.399656i
\(453\) 1.76930 1.35763i 0.0831290 0.0637871i
\(454\) 12.6825 + 18.4277i 0.595220 + 0.864856i
\(455\) 42.9806 + 30.8035i 2.01496 + 1.44409i
\(456\) 21.0335 + 3.28969i 0.984982 + 0.154054i
\(457\) 4.39682 + 16.4091i 0.205674 + 0.767587i 0.989243 + 0.146282i \(0.0467307\pi\)
−0.783569 + 0.621305i \(0.786603\pi\)
\(458\) 6.42931 + 18.1187i 0.300422 + 0.846631i
\(459\) 18.9776 2.49845i 0.885800 0.116618i
\(460\) −5.89033 19.7917i −0.274638 0.922793i
\(461\) 7.23732 2.99780i 0.337076 0.139621i −0.207724 0.978187i \(-0.566606\pi\)
0.544800 + 0.838566i \(0.316606\pi\)
\(462\) −1.40447 + 1.03578i −0.0653416 + 0.0481888i
\(463\) 22.8395i 1.06144i −0.847546 0.530721i \(-0.821921\pi\)
0.847546 0.530721i \(-0.178079\pi\)
\(464\) 13.8079 11.8548i 0.641017 0.550345i
\(465\) −10.8631 + 6.27184i −0.503766 + 0.290850i
\(466\) 6.27057 + 0.324574i 0.290479 + 0.0150356i
\(467\) 2.23063 16.9433i 0.103221 0.784042i −0.859039 0.511910i \(-0.828938\pi\)
0.962260 0.272132i \(-0.0877286\pi\)
\(468\) 0.502457 + 18.2871i 0.0232261 + 0.845321i
\(469\) −25.2932 23.6926i −1.16793 1.09402i
\(470\) 5.27072 28.5409i 0.243120 1.31650i
\(471\) −0.788493 2.94270i −0.0363318 0.135592i
\(472\) 11.8780 + 12.4684i 0.546727 + 0.573904i
\(473\) 0.241874 0.902685i 0.0111214 0.0415055i
\(474\) 1.60780 + 20.2620i 0.0738486 + 0.930666i
\(475\) 28.4665 + 11.7912i 1.30613 + 0.541019i
\(476\) 3.66332 17.9183i 0.167908 0.821282i
\(477\) 6.51096 + 15.7188i 0.298116 + 0.719717i
\(478\) −0.459241 0.148889i −0.0210052 0.00681003i
\(479\) −8.59756 14.8914i −0.392832 0.680406i 0.599989 0.800008i \(-0.295171\pi\)
−0.992822 + 0.119602i \(0.961838\pi\)
\(480\) −0.0720129 22.3440i −0.00328692 1.01986i
\(481\) −18.6446 + 32.2934i −0.850121 + 1.47245i
\(482\) −1.63212 7.65424i −0.0743409 0.348641i
\(483\) 5.04142 9.43044i 0.229393 0.429100i
\(484\) 20.2861 + 7.75712i 0.922096 + 0.352596i
\(485\) 12.0856 9.27358i 0.548777 0.421092i
\(486\) −17.2046 8.19259i −0.780419 0.371623i
\(487\) −6.98677 + 26.0750i −0.316601 + 1.18157i 0.605889 + 0.795549i \(0.292817\pi\)
−0.922490 + 0.386021i \(0.873849\pi\)
\(488\) −21.1276 + 11.5243i −0.956402 + 0.521681i
\(489\) 11.1259 11.1259i 0.503133 0.503133i
\(490\) 4.52849 + 31.1182i 0.204576 + 1.40578i
\(491\) −1.43745 + 3.47031i −0.0648712 + 0.156613i −0.952991 0.303000i \(-0.902012\pi\)
0.888119 + 0.459613i \(0.152012\pi\)
\(492\) −5.82280 + 10.7573i −0.262512 + 0.484977i
\(493\) −12.4755 9.57277i −0.561867 0.431136i
\(494\) 53.7890 + 2.78420i 2.42008 + 0.125267i
\(495\) −1.50002 0.866037i −0.0674209 0.0389255i
\(496\) −8.47540 + 9.46184i −0.380557 + 0.424849i
\(497\) −9.61614 + 7.89077i −0.431343 + 0.353949i
\(498\) −4.25039 2.75634i −0.190465 0.123515i
\(499\) 4.76801 36.2166i 0.213445 1.62128i −0.464091 0.885788i \(-0.653619\pi\)
0.677536 0.735490i \(-0.263048\pi\)
\(500\) 0.133190 0.557943i 0.00595643 0.0249520i
\(501\) −9.54919 + 1.25718i −0.426627 + 0.0561665i
\(502\) −4.75925 + 5.57964i −0.212416 + 0.249032i
\(503\) 11.4983 11.4983i 0.512683 0.512683i −0.402664 0.915348i \(-0.631916\pi\)
0.915348 + 0.402664i \(0.131916\pi\)
\(504\) −7.62761 + 7.75711i −0.339761 + 0.345529i
\(505\) −19.8497 19.8497i −0.883302 0.883302i
\(506\) 1.71870 0.136380i 0.0764057 0.00606282i
\(507\) −4.31541 32.7788i −0.191654 1.45576i
\(508\) −34.1997 24.7802i −1.51736 1.09944i
\(509\) 21.4112 + 2.81884i 0.949037 + 0.124943i 0.589124 0.808043i \(-0.299473\pi\)
0.359913 + 0.932986i \(0.382806\pi\)
\(510\) −18.8824 + 4.02630i −0.836126 + 0.178288i
\(511\) −6.03466 + 16.0307i −0.266958 + 0.709157i
\(512\) −7.11698 21.4790i −0.314529 0.949248i
\(513\) −16.7615 + 29.0317i −0.740036 + 1.28178i
\(514\) 0.345955 + 0.383724i 0.0152594 + 0.0169253i
\(515\) −13.4153 + 17.4831i −0.591148 + 0.770400i
\(516\) −0.639757 + 6.16331i −0.0281637 + 0.271324i
\(517\) 2.23881 + 0.927346i 0.0984628 + 0.0407846i
\(518\) −21.5249 + 5.33023i −0.945750 + 0.234197i
\(519\) −21.3845 21.3845i −0.938675 0.938675i
\(520\) −6.01770 56.2088i −0.263894 2.46492i
\(521\) 9.31869 + 2.49694i 0.408259 + 0.109393i 0.457103 0.889414i \(-0.348887\pi\)
−0.0488438 + 0.998806i \(0.515554\pi\)
\(522\) 3.12808 + 8.81537i 0.136912 + 0.385838i
\(523\) 2.89302 + 3.77026i 0.126503 + 0.164862i 0.852311 0.523036i \(-0.175201\pi\)
−0.725808 + 0.687898i \(0.758534\pi\)
\(524\) −3.05423 2.89088i −0.133425 0.126289i
\(525\) 14.2219 8.84250i 0.620693 0.385918i
\(526\) 31.6245 + 20.5082i 1.37889 + 0.894200i
\(527\) 9.50551 + 5.48801i 0.414067 + 0.239061i
\(528\) 1.82581 + 0.383171i 0.0794583 + 0.0166754i
\(529\) 10.7692 6.21760i 0.468226 0.270330i
\(530\) −23.8986 46.8289i −1.03809 2.03412i
\(531\) −8.17736 + 3.38717i −0.354867 + 0.146991i
\(532\) 20.9904 + 24.1933i 0.910051 + 1.04891i
\(533\) −11.8429 + 28.5912i −0.512972 + 1.23842i
\(534\) −15.8456 13.5158i −0.685707 0.584885i
\(535\) 35.0748 + 9.39826i 1.51642 + 0.406322i
\(536\) −0.898221 + 37.0386i −0.0387972 + 1.59982i
\(537\) 12.1869 3.26547i 0.525904 0.140916i
\(538\) −3.05990 + 2.10592i −0.131922 + 0.0907926i
\(539\) −2.61989 0.172041i −0.112846 0.00741031i
\(540\) 32.8634 + 12.5665i 1.41422 + 0.540776i
\(541\) −40.9773 5.39477i −1.76175 0.231939i −0.820976 0.570963i \(-0.806570\pi\)
−0.940778 + 0.339024i \(0.889903\pi\)
\(542\) −4.01031 + 3.61558i −0.172258 + 0.155303i
\(543\) 15.3673 + 26.6169i 0.659473 + 1.14224i
\(544\) −16.9006 + 9.83035i −0.724609 + 0.421473i
\(545\) 24.6176 1.05450
\(546\) 18.2602 22.8810i 0.781462 0.979215i
\(547\) 14.7655 + 35.6471i 0.631328 + 1.52416i 0.837955 + 0.545740i \(0.183751\pi\)
−0.206627 + 0.978420i \(0.566249\pi\)
\(548\) −3.41699 4.20853i −0.145967 0.179780i
\(549\) −1.61457 12.2639i −0.0689083 0.523411i
\(550\) 2.43780 + 1.16084i 0.103948 + 0.0494985i
\(551\) 26.6013 7.12779i 1.13325 0.303654i
\(552\) −11.1107 + 2.69018i −0.472903 + 0.114502i
\(553\) −17.8139 + 24.8561i −0.757525 + 1.05699i
\(554\) −1.98727 + 10.7611i −0.0844310 + 0.457193i
\(555\) 14.2507 + 18.5719i 0.604909 + 0.788333i
\(556\) −20.3637 + 12.5150i −0.863613 + 0.530755i
\(557\) 10.0135 + 7.68365i 0.424287 + 0.325567i 0.798737 0.601680i \(-0.205502\pi\)
−0.374450 + 0.927247i \(0.622169\pi\)
\(558\) −2.96786 5.81548i −0.125639 0.246189i
\(559\) 15.6768i 0.663057i
\(560\) 21.6001 25.7595i 0.912769 1.08854i
\(561\) 1.61200i 0.0680585i
\(562\) 35.3192 18.0247i 1.48985 0.760327i
\(563\) −14.1453 10.8540i −0.596152 0.457444i 0.266084 0.963950i \(-0.414270\pi\)
−0.862236 + 0.506506i \(0.830937\pi\)
\(564\) −15.6285 3.73076i −0.658077 0.157093i
\(565\) −10.1452 13.2215i −0.426812 0.556232i
\(566\) 15.4137 + 2.84648i 0.647884 + 0.119646i
\(567\) 2.75698 + 6.08578i 0.115782 + 0.255579i
\(568\) 13.1384 + 2.05488i 0.551274 + 0.0862207i
\(569\) −37.1117 + 9.94404i −1.55580 + 0.416876i −0.931331 0.364173i \(-0.881352\pi\)
−0.624470 + 0.781049i \(0.714685\pi\)
\(570\) 14.5371 30.5283i 0.608892 1.27869i
\(571\) 1.47638 + 11.2142i 0.0617847 + 0.469301i 0.994169 + 0.107833i \(0.0343911\pi\)
−0.932384 + 0.361468i \(0.882276\pi\)
\(572\) 4.69466 + 0.487310i 0.196294 + 0.0203755i
\(573\) 7.28271 + 17.5820i 0.304240 + 0.734500i
\(574\) −17.1336 + 6.71750i −0.715144 + 0.280383i
\(575\) −16.5452 −0.689984
\(576\) 11.6165 + 0.563754i 0.484021 + 0.0234897i
\(577\) 4.87229 + 8.43905i 0.202836 + 0.351322i 0.949441 0.313945i \(-0.101651\pi\)
−0.746605 + 0.665267i \(0.768317\pi\)
\(578\) −4.78613 5.30865i −0.199077 0.220811i
\(579\) 8.33299 + 1.09706i 0.346307 + 0.0455922i
\(580\) −11.7905 26.3903i −0.489574 1.09580i
\(581\) −2.21202 7.29367i −0.0917700 0.302592i
\(582\) −4.78118 6.94707i −0.198186 0.287965i
\(583\) 4.24006 1.13612i 0.175605 0.0470533i
\(584\) 17.0827 6.59535i 0.706885 0.272917i
\(585\) 28.0656 + 7.52015i 1.16037 + 0.310920i
\(586\) −12.8389 + 15.0521i −0.530370 + 0.621795i
\(587\) 7.17747 17.3280i 0.296246 0.715201i −0.703743 0.710455i \(-0.748489\pi\)
0.999989 0.00474619i \(-0.00151077\pi\)
\(588\) 17.3337 1.61313i 0.714831 0.0665244i
\(589\) −17.7594 + 7.35619i −0.731764 + 0.303106i
\(590\) 24.3616 12.4327i 1.00295 0.511844i
\(591\) −9.55073 + 5.51412i −0.392865 + 0.226820i
\(592\) 19.5714 + 13.3769i 0.804380 + 0.549787i
\(593\) −7.23529 4.17730i −0.297118 0.171541i 0.344030 0.938959i \(-0.388208\pi\)
−0.641147 + 0.767418i \(0.721541\pi\)
\(594\) −1.59836 + 2.46474i −0.0655817 + 0.101130i
\(595\) −25.6168 13.6945i −1.05019 0.561420i
\(596\) −0.744879 27.1101i −0.0305114 1.11047i
\(597\) 7.51179 + 9.78955i 0.307437 + 0.400660i
\(598\) −27.2568 + 9.67193i −1.11462 + 0.395515i
\(599\) −26.8646 7.19836i −1.09766 0.294117i −0.335848 0.941916i \(-0.609023\pi\)
−0.761811 + 0.647799i \(0.775690\pi\)
\(600\) −17.1755 5.05151i −0.701187 0.206227i
\(601\) −5.37678 5.37678i −0.219324 0.219324i 0.588890 0.808213i \(-0.299565\pi\)
−0.808213 + 0.588890i \(0.799565\pi\)
\(602\) −6.71648 + 6.46531i −0.273743 + 0.263506i
\(603\) −17.5934 7.28741i −0.716457 0.296766i
\(604\) −2.26095 2.78469i −0.0919966 0.113307i
\(605\) 20.9991 27.3666i 0.853736 1.11261i
\(606\) −11.5423 + 10.4062i −0.468873 + 0.422722i
\(607\) −8.06089 + 13.9619i −0.327181 + 0.566695i −0.981951 0.189133i \(-0.939432\pi\)
0.654770 + 0.755828i \(0.272765\pi\)
\(608\) 4.35997 33.9627i 0.176820 1.37737i
\(609\) 5.27339 14.0084i 0.213689 0.567651i
\(610\) 7.97122 + 37.3831i 0.322745 + 1.51360i
\(611\) −40.3028 5.30596i −1.63047 0.214656i
\(612\) −1.58485 9.92352i −0.0640636 0.401134i
\(613\) 1.20131 + 9.12487i 0.0485205 + 0.368550i 0.998429 + 0.0560233i \(0.0178421\pi\)
−0.949909 + 0.312527i \(0.898825\pi\)
\(614\) −0.869532 10.9581i −0.0350915 0.442235i
\(615\) 13.7375 + 13.7375i 0.553950 + 0.553950i
\(616\) 1.72736 + 2.21233i 0.0695973 + 0.0891373i
\(617\) 30.2880 30.2880i 1.21935 1.21935i 0.251491 0.967860i \(-0.419079\pi\)
0.967860 0.251491i \(-0.0809209\pi\)
\(618\) 9.28191 + 7.91716i 0.373373 + 0.318475i
\(619\) 45.9581 6.05050i 1.84721 0.243190i 0.876153 0.482033i \(-0.160101\pi\)
0.971058 + 0.238843i \(0.0767682\pi\)
\(620\) 10.5637 + 17.1886i 0.424248 + 0.690311i
\(621\) 2.34960 17.8470i 0.0942860 0.716173i
\(622\) −10.0057 + 15.4292i −0.401193 + 0.618656i
\(623\) −5.10234 30.9162i −0.204421 1.23863i
\(624\) −31.2481 + 1.71844i −1.25093 + 0.0687928i
\(625\) 21.2526 + 12.2702i 0.850104 + 0.490808i
\(626\) −0.590111 + 11.4006i −0.0235856 + 0.455659i
\(627\) 2.23975 + 1.71862i 0.0894469 + 0.0686350i
\(628\) −4.69640 + 1.39773i −0.187407 + 0.0557754i
\(629\) 7.83879 18.9245i 0.312553 0.754570i
\(630\) 8.35273 + 15.1257i 0.332781 + 0.602622i
\(631\) −26.3453 + 26.3453i −1.04879 + 1.04879i −0.0500421 + 0.998747i \(0.515936\pi\)
−0.998747 + 0.0500421i \(0.984064\pi\)
\(632\) 32.5061 3.48009i 1.29302 0.138431i
\(633\) 2.15345 8.03680i 0.0855921 0.319434i
\(634\) −10.8718 + 22.8310i −0.431774 + 0.906736i
\(635\) −53.2165 + 40.8345i −2.11183 + 1.62047i
\(636\) −26.5740 + 11.8726i −1.05373 + 0.470778i
\(637\) 43.1982 8.58711i 1.71157 0.340234i
\(638\) 2.36026 0.503280i 0.0934437 0.0199250i
\(639\) −3.41751 + 5.91931i −0.135195 + 0.234164i
\(640\) −35.9213 + 1.10284i −1.41991 + 0.0435937i
\(641\) 8.17018 + 14.1512i 0.322703 + 0.558937i 0.981045 0.193782i \(-0.0620753\pi\)
−0.658342 + 0.752719i \(0.728742\pi\)
\(642\) 6.19971 19.1227i 0.244683 0.754712i
\(643\) 4.24848 + 10.2567i 0.167544 + 0.404486i 0.985243 0.171159i \(-0.0547510\pi\)
−0.817700 + 0.575645i \(0.804751\pi\)
\(644\) −15.3849 7.68895i −0.606249 0.302987i
\(645\) 9.09239 + 3.76619i 0.358013 + 0.148294i
\(646\) −29.4943 + 2.34038i −1.16044 + 0.0920810i
\(647\) 9.07915 33.8838i 0.356938 1.33211i −0.521090 0.853502i \(-0.674474\pi\)
0.878028 0.478609i \(-0.158859\pi\)
\(648\) 2.89247 6.53055i 0.113627 0.256544i
\(649\) 0.591039 + 2.20579i 0.0232003 + 0.0865848i
\(650\) −44.5408 8.22546i −1.74703 0.322629i
\(651\) −2.37306 + 10.1747i −0.0930075 + 0.398776i
\(652\) −18.3797 17.3967i −0.719804 0.681307i
\(653\) −5.23135 + 39.7360i −0.204718 + 1.55499i 0.512835 + 0.858487i \(0.328595\pi\)
−0.717553 + 0.696504i \(0.754738\pi\)
\(654\) 0.704483 13.6102i 0.0275475 0.532200i
\(655\) −5.78444 + 3.33965i −0.226017 + 0.130491i
\(656\) 17.5527 + 8.88662i 0.685318 + 0.346964i
\(657\) 9.41192i 0.367194i
\(658\) −14.3481 19.4554i −0.559348 0.758449i
\(659\) 7.00413 2.90121i 0.272842 0.113015i −0.242067 0.970259i \(-0.577825\pi\)
0.514910 + 0.857244i \(0.327825\pi\)
\(660\) 1.41048 2.60579i 0.0549029 0.101430i
\(661\) 18.4718 2.43186i 0.718471 0.0945885i 0.237579 0.971368i \(-0.423646\pi\)
0.480892 + 0.876780i \(0.340313\pi\)
\(662\) −16.0511 + 5.69564i −0.623844 + 0.221367i
\(663\) 6.99881 + 26.1199i 0.271811 + 1.01441i
\(664\) −4.24386 + 6.95550i −0.164694 + 0.269926i
\(665\) 46.3386 20.9923i 1.79694 0.814047i
\(666\) −10.0372 + 6.90791i −0.388934 + 0.267676i
\(667\) −11.7322 + 9.00243i −0.454273 + 0.348576i
\(668\) 2.44312 + 15.2976i 0.0945270 + 0.591880i
\(669\) −7.90611 + 10.3034i −0.305668 + 0.398354i
\(670\) 55.9759 + 18.1478i 2.16254 + 0.701110i
\(671\) −3.19141 −0.123203
\(672\) −13.6234 12.6791i −0.525533 0.489106i
\(673\) 0.130380 0.00502578 0.00251289 0.999997i \(-0.499200\pi\)
0.00251289 + 0.999997i \(0.499200\pi\)
\(674\) 8.88876 + 2.88180i 0.342382 + 0.111003i
\(675\) 17.1615 22.3653i 0.660545 0.860839i
\(676\) −52.5108 + 8.38630i −2.01965 + 0.322550i
\(677\) −24.2622 + 18.6171i −0.932474 + 0.715512i −0.958782 0.284142i \(-0.908291\pi\)
0.0263086 + 0.999654i \(0.491625\pi\)
\(678\) −7.60002 + 5.23057i −0.291877 + 0.200879i
\(679\) 1.24443 12.6270i 0.0477569 0.484578i
\(680\) 7.30759 + 30.1811i 0.280233 + 1.15739i
\(681\) −5.09083 18.9992i −0.195081 0.728052i
\(682\) −1.58751 + 0.563320i −0.0607890 + 0.0215706i
\(683\) −16.1487 + 2.12602i −0.617915 + 0.0813500i −0.432984 0.901402i \(-0.642539\pi\)
−0.184931 + 0.982752i \(0.559206\pi\)
\(684\) 15.4777 + 8.37786i 0.591803 + 0.320336i
\(685\) −7.95461 + 3.29491i −0.303930 + 0.125892i
\(686\) 21.4945 + 14.9662i 0.820664 + 0.571411i
\(687\) 16.9045i 0.644946i
\(688\) 9.93756 + 0.756327i 0.378866 + 0.0288347i
\(689\) −63.7709 + 36.8181i −2.42948 + 1.40266i
\(690\) −0.938555 + 18.1323i −0.0357302 + 0.690286i
\(691\) −0.0938931 + 0.713189i −0.00357186 + 0.0271310i −0.993138 0.116948i \(-0.962689\pi\)
0.989566 + 0.144079i \(0.0460221\pi\)
\(692\) −33.4371 + 35.3265i −1.27109 + 1.34291i
\(693\) −1.38056 + 0.418697i −0.0524433 + 0.0159050i
\(694\) −30.5279 5.63765i −1.15882 0.214002i
\(695\) 9.82545 + 36.6691i 0.372700 + 1.39094i
\(696\) −14.9277 + 5.76334i −0.565832 + 0.218459i
\(697\) 4.39987 16.4205i 0.166657 0.621972i
\(698\) −1.97931 + 0.157059i −0.0749180 + 0.00594477i
\(699\) −5.10065 2.11276i −0.192924 0.0799118i
\(700\) −14.8451 22.4751i −0.561094 0.849480i
\(701\) 9.54600 + 23.0461i 0.360547 + 0.870438i 0.995220 + 0.0976572i \(0.0311349\pi\)
−0.634673 + 0.772781i \(0.718865\pi\)
\(702\) 15.1979 46.8770i 0.573606 1.76926i
\(703\) 17.9369 + 31.0676i 0.676503 + 1.17174i
\(704\) 0.535402 2.95245i 0.0201787 0.111275i
\(705\) −12.7598 + 22.1005i −0.480560 + 0.832354i
\(706\) 40.0534 8.54060i 1.50743 0.321430i
\(707\) −23.3687 + 0.763572i −0.878872 + 0.0287171i
\(708\) −6.17642 13.8245i −0.232124 0.519556i
\(709\) −4.20308 + 3.22513i −0.157850 + 0.121122i −0.684666 0.728857i \(-0.740052\pi\)
0.526817 + 0.849979i \(0.323385\pi\)
\(710\) 9.08046 19.0692i 0.340784 0.715655i
\(711\) −4.34897 + 16.2306i −0.163099 + 0.608694i
\(712\) −21.0306 + 26.0735i −0.788154 + 0.977146i
\(713\) 7.29881 7.29881i 0.273343 0.273343i
\(714\) −8.30428 + 13.7707i −0.310780 + 0.515357i
\(715\) 2.86875 6.92577i 0.107285 0.259009i
\(716\) −5.78856 19.4497i −0.216329 0.726871i
\(717\) 0.336769 + 0.258412i 0.0125769 + 0.00965056i
\(718\) 1.12059 21.6491i 0.0418201 0.807938i
\(719\) 37.7629 + 21.8024i 1.40832 + 0.813094i 0.995226 0.0975942i \(-0.0311147\pi\)
0.413094 + 0.910688i \(0.364448\pi\)
\(720\) 6.12108 17.4281i 0.228119 0.649506i
\(721\) 2.98880 + 18.1098i 0.111309 + 0.674446i
\(722\) 13.5734 20.9307i 0.505148 0.778959i
\(723\) −0.898208 + 6.82257i −0.0334047 + 0.253734i
\(724\) 42.1155 25.8832i 1.56521 0.961941i
\(725\) −22.9611 + 3.02289i −0.852755 + 0.112267i
\(726\) −14.5291 12.3928i −0.539226 0.459941i
\(727\) −21.0735 + 21.0735i −0.781573 + 0.781573i −0.980096 0.198523i \(-0.936385\pi\)
0.198523 + 0.980096i \(0.436385\pi\)
\(728\) −37.5945 28.3477i −1.39334 1.05064i
\(729\) 17.2044 + 17.2044i 0.637202 + 0.637202i
\(730\) −2.30056 28.9925i −0.0851477 1.07306i
\(731\) −1.12404 8.53790i −0.0415740 0.315786i
\(732\) 20.8959 3.33721i 0.772336 0.123347i
\(733\) −19.0528 2.50835i −0.703731 0.0926479i −0.229836 0.973229i \(-0.573819\pi\)
−0.473895 + 0.880581i \(0.657152\pi\)
\(734\) −9.93772 46.6056i −0.366808 1.72024i
\(735\) 5.39748 27.1175i 0.199089 1.00024i
\(736\) 4.81606 + 17.7448i 0.177522 + 0.654083i
\(737\) −2.45655 + 4.25487i −0.0904882 + 0.156730i
\(738\) −7.51047 + 6.77123i −0.276464 + 0.249252i
\(739\) 22.5773 29.4233i 0.830520 1.08235i −0.164858 0.986317i \(-0.552717\pi\)
0.995378 0.0960372i \(-0.0306168\pi\)
\(740\) 29.2302 23.7326i 1.07452 0.872427i
\(741\) −43.7534 18.1232i −1.60732 0.665774i
\(742\) −42.0741 12.1374i −1.54459 0.445578i
\(743\) −4.82781 4.82781i −0.177115 0.177115i 0.612982 0.790097i \(-0.289970\pi\)
−0.790097 + 0.612982i \(0.789970\pi\)
\(744\) 9.80527 5.34840i 0.359479 0.196082i
\(745\) −41.6065 11.1484i −1.52434 0.408447i
\(746\) 45.0110 15.9719i 1.64797 0.584772i
\(747\) −2.54945 3.32251i −0.0932797 0.121564i
\(748\) −2.59175 + 0.0712110i −0.0947638 + 0.00260373i
\(749\) 25.6848 15.9696i 0.938502 0.583518i
\(750\) −0.274425 + 0.423174i −0.0100206 + 0.0154521i
\(751\) −38.6912 22.3384i −1.41186 0.815139i −0.416298 0.909228i \(-0.636673\pi\)
−0.995564 + 0.0940891i \(0.970006\pi\)
\(752\) −5.30788 + 25.2921i −0.193558 + 0.922307i
\(753\) 5.58437 3.22414i 0.203506 0.117494i
\(754\) −36.0593 + 18.4024i −1.31320 + 0.670177i
\(755\) −5.26339 + 2.18017i −0.191554 + 0.0793443i
\(756\) 26.3515 12.8214i 0.958396 0.466309i
\(757\) −7.00128 + 16.9026i −0.254466 + 0.614335i −0.998555 0.0537460i \(-0.982884\pi\)
0.744089 + 0.668081i \(0.232884\pi\)
\(758\) −27.7273 + 32.5069i −1.00710 + 1.18070i
\(759\) −1.46430 0.392358i −0.0531507 0.0142417i
\(760\) −49.7252 22.0240i −1.80372 0.798894i
\(761\) −20.1463 + 5.39820i −0.730304 + 0.195684i −0.604765 0.796404i \(-0.706733\pi\)
−0.125540 + 0.992089i \(0.540066\pi\)
\(762\) 21.0530 + 30.5901i 0.762671 + 1.10816i
\(763\) 14.0174 14.9644i 0.507464 0.541747i
\(764\) 27.9465 12.4858i 1.01107 0.451719i
\(765\) −15.8243 2.08331i −0.572130 0.0753223i
\(766\) 22.0990 + 24.5117i 0.798470 + 0.885642i
\(767\) −19.1538 33.1753i −0.691602 1.19789i
\(768\) −0.418240 + 19.8912i −0.0150919 + 0.717762i
\(769\) 25.1487 0.906887 0.453443 0.891285i \(-0.350195\pi\)
0.453443 + 0.891285i \(0.350195\pi\)
\(770\) 4.15035 1.62721i 0.149568 0.0586405i
\(771\) −0.173844 0.419696i −0.00626083 0.0151150i
\(772\) 1.39573 13.4462i 0.0502333 0.483938i
\(773\) 6.22041