Properties

Label 441.2.bd.a.47.4
Level $441$
Weight $2$
Character 441.47
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 47.4
Character \(\chi\) \(=\) 441.47
Dual form 441.2.bd.a.122.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.75148 - 1.88764i) q^{2} +(0.0116260 + 1.73201i) q^{3} +(-0.346064 + 4.61791i) q^{4} +(-0.695350 - 0.871941i) q^{5} +(3.24905 - 3.05552i) q^{6} +(-2.60184 + 0.480046i) q^{7} +(5.29657 - 4.22388i) q^{8} +(-2.99973 + 0.0402729i) q^{9} +O(q^{10})\) \(q+(-1.75148 - 1.88764i) q^{2} +(0.0116260 + 1.73201i) q^{3} +(-0.346064 + 4.61791i) q^{4} +(-0.695350 - 0.871941i) q^{5} +(3.24905 - 3.05552i) q^{6} +(-2.60184 + 0.480046i) q^{7} +(5.29657 - 4.22388i) q^{8} +(-2.99973 + 0.0402729i) q^{9} +(-0.428024 + 2.83975i) q^{10} +(1.68240 - 0.383996i) q^{11} +(-8.00229 - 0.545699i) q^{12} +(2.33944 + 2.52131i) q^{13} +(5.46321 + 4.07055i) q^{14} +(1.50213 - 1.21449i) q^{15} +(-8.09172 - 1.21963i) q^{16} +(-0.251022 - 3.34966i) q^{17} +(5.32997 + 5.59188i) q^{18} +(-2.18600 - 1.26209i) q^{19} +(4.26718 - 2.90931i) q^{20} +(-0.861695 - 4.50083i) q^{21} +(-3.67152 - 2.50320i) q^{22} +(0.848365 + 1.76165i) q^{23} +(7.37738 + 9.12462i) q^{24} +(0.835835 - 3.66203i) q^{25} +(0.661870 - 8.83204i) q^{26} +(-0.104628 - 5.19510i) q^{27} +(-1.31641 - 12.1812i) q^{28} +(-4.77828 - 7.00845i) q^{29} +(-4.92347 - 0.708328i) q^{30} +(-9.00720 - 5.20031i) q^{31} +(4.23771 + 6.21558i) q^{32} +(0.684645 + 2.90946i) q^{33} +(-5.88329 + 6.34068i) q^{34} +(2.22776 + 1.93485i) q^{35} +(0.852123 - 13.8664i) q^{36} +(2.28236 - 1.55609i) q^{37} +(1.44635 + 6.33689i) q^{38} +(-4.33975 + 4.08125i) q^{39} +(-7.36594 - 1.68123i) q^{40} +(2.19413 - 5.59055i) q^{41} +(-6.98672 + 9.50967i) q^{42} +(0.249725 + 0.636288i) q^{43} +(1.19104 + 7.90203i) q^{44} +(2.12098 + 2.58758i) q^{45} +(1.83947 - 4.68689i) q^{46} +(4.14511 - 3.84610i) q^{47} +(2.01834 - 14.0291i) q^{48} +(6.53911 - 2.49800i) q^{49} +(-8.37655 + 4.83620i) q^{50} +(5.79873 - 0.473716i) q^{51} +(-12.4528 + 9.93077i) q^{52} +(-6.46530 + 9.48286i) q^{53} +(-9.62323 + 9.29659i) q^{54} +(-1.50468 - 1.19994i) q^{55} +(-11.7532 + 13.5324i) q^{56} +(2.16053 - 3.80085i) q^{57} +(-4.86040 + 21.2948i) q^{58} +(-2.63510 - 6.71412i) q^{59} +(5.08858 + 7.35698i) q^{60} +(3.05595 - 0.229012i) q^{61} +(5.95957 + 26.1106i) q^{62} +(7.78547 - 1.54479i) q^{63} +(0.668715 - 2.92983i) q^{64} +(0.571710 - 3.79305i) q^{65} +(4.29289 - 6.38822i) q^{66} +(-4.30271 + 7.45251i) q^{67} +15.5553 q^{68} +(-3.04133 + 1.48986i) q^{69} +(-0.249564 - 7.59405i) q^{70} +(-3.09551 - 6.42789i) q^{71} +(-15.7182 + 12.8838i) q^{72} +(-3.45760 - 11.2093i) q^{73} +(-6.93483 - 1.58283i) q^{74} +(6.35240 + 1.40510i) q^{75} +(6.58469 - 9.65797i) q^{76} +(-4.19298 + 1.80672i) q^{77} +(15.3049 + 1.04368i) q^{78} +(6.65174 + 11.5211i) q^{79} +(4.56313 + 7.90357i) q^{80} +(8.99676 - 0.241616i) q^{81} +(-14.3959 + 5.64998i) q^{82} +(0.945048 + 0.876876i) q^{83} +(21.0826 - 2.42165i) q^{84} +(-2.74616 + 2.54806i) q^{85} +(0.763697 - 1.58583i) q^{86} +(12.0832 - 8.35751i) q^{87} +(7.28898 - 9.14009i) q^{88} +(-10.3351 - 9.58957i) q^{89} +(1.16959 - 8.53573i) q^{90} +(-7.29718 - 5.43701i) q^{91} +(-8.42872 + 3.30803i) q^{92} +(8.90228 - 15.6610i) q^{93} +(-14.5201 - 1.08813i) q^{94} +(0.419568 + 2.78365i) q^{95} +(-10.7162 + 7.41203i) q^{96} +(11.4429 + 6.60659i) q^{97} +(-16.1684 - 7.96831i) q^{98} +(-5.03127 + 1.21964i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} + O(q^{10}) \) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} - 22q^{10} - 21q^{11} + 24q^{12} - 10q^{13} - 24q^{14} - 10q^{15} + 42q^{16} + 9q^{17} + 12q^{18} - 36q^{19} - 15q^{20} - 38q^{21} - 9q^{22} - 84q^{23} - 38q^{24} - 97q^{25} - 6q^{26} - 20q^{27} - 26q^{28} - 123q^{29} - q^{30} - 6q^{31} - 30q^{32} - 8q^{33} - q^{34} + 70q^{36} - 13q^{37} - 75q^{38} - 24q^{39} - 7q^{40} - 15q^{41} - 133q^{42} - 9q^{43} - 51q^{44} - 41q^{45} - 108q^{46} - 36q^{47} + 15q^{48} + 5q^{49} - 45q^{50} + 10q^{51} - 35q^{52} + 12q^{53} - 50q^{54} + 14q^{55} + 33q^{56} - 7q^{57} + 33q^{58} - 3q^{59} + 180q^{60} + 55q^{61} - 66q^{62} - 20q^{63} + 64q^{64} + 3q^{65} + 285q^{66} + 13q^{67} + 6q^{68} + 82q^{69} + 11q^{70} + 63q^{71} - 21q^{72} - 22q^{73} - 21q^{74} - 107q^{75} + 21q^{76} - 69q^{77} + 63q^{78} + q^{79} + 45q^{80} - 211q^{81} - 28q^{82} + 9q^{83} + 239q^{84} - 10q^{85} - 21q^{86} - 109q^{87} - 29q^{88} - 132q^{89} - 275q^{90} - 13q^{91} + 195q^{92} + 19q^{93} - 4q^{94} - 129q^{95} - 5q^{96} - 3q^{97} - 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.75148 1.88764i −1.23848 1.33476i −0.922499 0.385998i \(-0.873857\pi\)
−0.315981 0.948766i \(-0.602333\pi\)
\(3\) 0.0116260 + 1.73201i 0.00671230 + 0.999977i
\(4\) −0.346064 + 4.61791i −0.173032 + 2.30895i
\(5\) −0.695350 0.871941i −0.310970 0.389944i 0.601645 0.798763i \(-0.294512\pi\)
−0.912615 + 0.408819i \(0.865941\pi\)
\(6\) 3.24905 3.05552i 1.32642 1.24741i
\(7\) −2.60184 + 0.480046i −0.983402 + 0.181440i
\(8\) 5.29657 4.22388i 1.87262 1.49337i
\(9\) −2.99973 + 0.0402729i −0.999910 + 0.0134243i
\(10\) −0.428024 + 2.83975i −0.135353 + 0.898009i
\(11\) 1.68240 0.383996i 0.507261 0.115779i 0.0387717 0.999248i \(-0.487655\pi\)
0.468490 + 0.883469i \(0.344798\pi\)
\(12\) −8.00229 0.545699i −2.31006 0.157530i
\(13\) 2.33944 + 2.52131i 0.648843 + 0.699287i 0.968715 0.248174i \(-0.0798305\pi\)
−0.319872 + 0.947461i \(0.603640\pi\)
\(14\) 5.46321 + 4.07055i 1.46010 + 1.08790i
\(15\) 1.50213 1.21449i 0.387848 0.313580i
\(16\) −8.09172 1.21963i −2.02293 0.304908i
\(17\) −0.251022 3.34966i −0.0608818 0.812411i −0.941162 0.337956i \(-0.890264\pi\)
0.880280 0.474455i \(-0.157355\pi\)
\(18\) 5.32997 + 5.59188i 1.25629 + 1.31802i
\(19\) −2.18600 1.26209i −0.501502 0.289542i 0.227831 0.973701i \(-0.426836\pi\)
−0.729334 + 0.684158i \(0.760170\pi\)
\(20\) 4.26718 2.90931i 0.954170 0.650542i
\(21\) −0.861695 4.50083i −0.188037 0.982162i
\(22\) −3.67152 2.50320i −0.782771 0.533684i
\(23\) 0.848365 + 1.76165i 0.176896 + 0.367329i 0.970498 0.241108i \(-0.0775109\pi\)
−0.793602 + 0.608437i \(0.791797\pi\)
\(24\) 7.37738 + 9.12462i 1.50590 + 1.86256i
\(25\) 0.835835 3.66203i 0.167167 0.732406i
\(26\) 0.661870 8.83204i 0.129803 1.73210i
\(27\) −0.104628 5.19510i −0.0201357 0.999797i
\(28\) −1.31641 12.1812i −0.248777 2.30202i
\(29\) −4.77828 7.00845i −0.887304 1.30144i −0.952805 0.303583i \(-0.901817\pi\)
0.0655009 0.997853i \(-0.479135\pi\)
\(30\) −4.92347 0.708328i −0.898898 0.129322i
\(31\) −9.00720 5.20031i −1.61774 0.934004i −0.987503 0.157602i \(-0.949624\pi\)
−0.630239 0.776401i \(-0.717043\pi\)
\(32\) 4.23771 + 6.21558i 0.749129 + 1.09877i
\(33\) 0.684645 + 2.90946i 0.119181 + 0.506473i
\(34\) −5.88329 + 6.34068i −1.00898 + 1.08742i
\(35\) 2.22776 + 1.93485i 0.376560 + 0.327049i
\(36\) 0.852123 13.8664i 0.142020 2.31107i
\(37\) 2.28236 1.55609i 0.375218 0.255819i −0.360997 0.932567i \(-0.617564\pi\)
0.736215 + 0.676748i \(0.236611\pi\)
\(38\) 1.44635 + 6.33689i 0.234630 + 1.02798i
\(39\) −4.33975 + 4.08125i −0.694916 + 0.653522i
\(40\) −7.36594 1.68123i −1.16466 0.265826i
\(41\) 2.19413 5.59055i 0.342665 0.873097i −0.650830 0.759224i \(-0.725579\pi\)
0.993495 0.113873i \(-0.0363258\pi\)
\(42\) −6.98672 + 9.50967i −1.07807 + 1.46737i
\(43\) 0.249725 + 0.636288i 0.0380826 + 0.0970330i 0.948650 0.316328i \(-0.102450\pi\)
−0.910567 + 0.413361i \(0.864355\pi\)
\(44\) 1.19104 + 7.90203i 0.179556 + 1.19128i
\(45\) 2.12098 + 2.58758i 0.316177 + 0.385734i
\(46\) 1.83947 4.68689i 0.271215 0.691045i
\(47\) 4.14511 3.84610i 0.604627 0.561012i −0.317325 0.948317i \(-0.602784\pi\)
0.921952 + 0.387305i \(0.126594\pi\)
\(48\) 2.01834 14.0291i 0.291322 2.02493i
\(49\) 6.53911 2.49800i 0.934159 0.356858i
\(50\) −8.37655 + 4.83620i −1.18462 + 0.683942i
\(51\) 5.79873 0.473716i 0.811984 0.0663336i
\(52\) −12.4528 + 9.93077i −1.72689 + 1.37715i
\(53\) −6.46530 + 9.48286i −0.888078 + 1.30257i 0.0643879 + 0.997925i \(0.479491\pi\)
−0.952466 + 0.304646i \(0.901462\pi\)
\(54\) −9.62323 + 9.29659i −1.30956 + 1.26511i
\(55\) −1.50468 1.19994i −0.202890 0.161800i
\(56\) −11.7532 + 13.5324i −1.57058 + 1.80835i
\(57\) 2.16053 3.80085i 0.286170 0.503434i
\(58\) −4.86040 + 21.2948i −0.638202 + 2.79614i
\(59\) −2.63510 6.71412i −0.343060 0.874104i −0.993425 0.114482i \(-0.963479\pi\)
0.650365 0.759622i \(-0.274616\pi\)
\(60\) 5.08858 + 7.35698i 0.656932 + 0.949782i
\(61\) 3.05595 0.229012i 0.391274 0.0293219i 0.122359 0.992486i \(-0.460954\pi\)
0.268915 + 0.963164i \(0.413335\pi\)
\(62\) 5.95957 + 26.1106i 0.756866 + 3.31605i
\(63\) 7.78547 1.54479i 0.980878 0.194626i
\(64\) 0.668715 2.92983i 0.0835894 0.366229i
\(65\) 0.571710 3.79305i 0.0709119 0.470470i
\(66\) 4.29289 6.38822i 0.528418 0.786336i
\(67\) −4.30271 + 7.45251i −0.525660 + 0.910470i 0.473893 + 0.880582i \(0.342848\pi\)
−0.999553 + 0.0298873i \(0.990485\pi\)
\(68\) 15.5553 1.88635
\(69\) −3.04133 + 1.48986i −0.366134 + 0.179358i
\(70\) −0.249564 7.59405i −0.0298286 0.907663i
\(71\) −3.09551 6.42789i −0.367369 0.762851i 0.632563 0.774509i \(-0.282003\pi\)
−0.999932 + 0.0116587i \(0.996289\pi\)
\(72\) −15.7182 + 12.8838i −1.85241 + 1.51837i
\(73\) −3.45760 11.2093i −0.404681 1.31194i −0.897193 0.441638i \(-0.854397\pi\)
0.492512 0.870306i \(-0.336079\pi\)
\(74\) −6.93483 1.58283i −0.806158 0.184000i
\(75\) 6.35240 + 1.40510i 0.733512 + 0.162247i
\(76\) 6.58469 9.65797i 0.755316 1.10785i
\(77\) −4.19298 + 1.80672i −0.477835 + 0.205895i
\(78\) 15.3049 + 1.04368i 1.73294 + 0.118174i
\(79\) 6.65174 + 11.5211i 0.748379 + 1.29623i 0.948599 + 0.316480i \(0.102501\pi\)
−0.200220 + 0.979751i \(0.564166\pi\)
\(80\) 4.56313 + 7.90357i 0.510173 + 0.883646i
\(81\) 8.99676 0.241616i 0.999640 0.0268462i
\(82\) −14.3959 + 5.64998i −1.58976 + 0.623936i
\(83\) 0.945048 + 0.876876i 0.103732 + 0.0962496i 0.730334 0.683090i \(-0.239364\pi\)
−0.626602 + 0.779340i \(0.715555\pi\)
\(84\) 21.0826 2.42165i 2.30030 0.264224i
\(85\) −2.74616 + 2.54806i −0.297862 + 0.276376i
\(86\) 0.763697 1.58583i 0.0823515 0.171005i
\(87\) 12.0832 8.35751i 1.29545 0.896020i
\(88\) 7.28898 9.14009i 0.777008 0.974337i
\(89\) −10.3351 9.58957i −1.09552 1.01649i −0.999778 0.0210862i \(-0.993288\pi\)
−0.0957407 0.995406i \(-0.530522\pi\)
\(90\) 1.16959 8.53573i 0.123286 0.899745i
\(91\) −7.29718 5.43701i −0.764952 0.569953i
\(92\) −8.42872 + 3.30803i −0.878755 + 0.344886i
\(93\) 8.90228 15.6610i 0.923124 1.62397i
\(94\) −14.5201 1.08813i −1.49764 0.112232i
\(95\) 0.419568 + 2.78365i 0.0430468 + 0.285597i
\(96\) −10.7162 + 7.41203i −1.09372 + 0.756487i
\(97\) 11.4429 + 6.60659i 1.16185 + 0.670797i 0.951748 0.306881i \(-0.0992854\pi\)
0.210107 + 0.977678i \(0.432619\pi\)
\(98\) −16.1684 7.96831i −1.63326 0.804921i
\(99\) −5.03127 + 1.21964i −0.505661 + 0.122578i
\(100\) 16.6217 + 5.12711i 1.66217 + 0.512711i
\(101\) −1.42315 1.78458i −0.141609 0.177572i 0.705969 0.708243i \(-0.250512\pi\)
−0.847578 + 0.530670i \(0.821940\pi\)
\(102\) −11.0505 10.1162i −1.09417 1.00165i
\(103\) −3.31815 + 2.64614i −0.326947 + 0.260732i −0.773182 0.634184i \(-0.781336\pi\)
0.446235 + 0.894916i \(0.352765\pi\)
\(104\) 23.0407 + 3.47283i 2.25933 + 0.340539i
\(105\) −3.32528 + 3.88100i −0.324514 + 0.378747i
\(106\) 29.2241 4.40482i 2.83849 0.427834i
\(107\) −0.782795 + 0.843652i −0.0756756 + 0.0815589i −0.769755 0.638340i \(-0.779621\pi\)
0.694079 + 0.719899i \(0.255812\pi\)
\(108\) 24.0267 + 1.31468i 2.31197 + 0.126505i
\(109\) 11.3397 10.5217i 1.08615 1.00780i 0.0862135 0.996277i \(-0.472523\pi\)
0.999934 0.0115205i \(-0.00366718\pi\)
\(110\) 0.370348 + 4.94195i 0.0353113 + 0.471197i
\(111\) 2.72169 + 3.93498i 0.258332 + 0.373492i
\(112\) 21.6388 0.711119i 2.04468 0.0671944i
\(113\) −3.51430 11.3931i −0.330598 1.07177i −0.956466 0.291843i \(-0.905732\pi\)
0.625869 0.779928i \(-0.284745\pi\)
\(114\) −10.9588 + 2.57878i −1.02638 + 0.241524i
\(115\) 0.946143 1.96469i 0.0882283 0.183208i
\(116\) 34.0179 19.6403i 3.15849 1.82355i
\(117\) −7.11922 7.46904i −0.658172 0.690513i
\(118\) −8.05854 + 16.7337i −0.741849 + 1.54046i
\(119\) 2.26111 + 8.59476i 0.207275 + 0.787880i
\(120\) 2.82627 12.7774i 0.258002 1.16642i
\(121\) −7.22766 + 3.48066i −0.657060 + 0.316423i
\(122\) −5.78471 5.36742i −0.523723 0.485944i
\(123\) 9.70840 + 3.73526i 0.875377 + 0.336797i
\(124\) 27.1316 39.7948i 2.43649 3.57368i
\(125\) −8.79832 + 4.23705i −0.786946 + 0.378973i
\(126\) −16.5521 11.9905i −1.47458 1.06820i
\(127\) 15.2839 + 7.36033i 1.35623 + 0.653124i 0.963792 0.266657i \(-0.0859189\pi\)
0.392434 + 0.919780i \(0.371633\pi\)
\(128\) 6.32807 3.65351i 0.559328 0.322928i
\(129\) −1.09915 + 0.439923i −0.0967751 + 0.0387331i
\(130\) −8.16125 + 5.56424i −0.715789 + 0.488017i
\(131\) −14.0817 + 17.6579i −1.23032 + 1.54278i −0.487800 + 0.872955i \(0.662201\pi\)
−0.742523 + 0.669821i \(0.766371\pi\)
\(132\) −13.6726 + 2.15476i −1.19004 + 0.187548i
\(133\) 6.29347 + 2.23436i 0.545713 + 0.193744i
\(134\) 21.6038 4.93092i 1.86628 0.425967i
\(135\) −4.45707 + 3.70364i −0.383603 + 0.318759i
\(136\) −15.4781 16.6814i −1.32724 1.43042i
\(137\) 1.71958 + 1.37132i 0.146914 + 0.117160i 0.694189 0.719793i \(-0.255763\pi\)
−0.547275 + 0.836953i \(0.684335\pi\)
\(138\) 8.13914 + 3.13149i 0.692850 + 0.266571i
\(139\) −9.00441 3.53397i −0.763744 0.299747i −0.0486873 0.998814i \(-0.515504\pi\)
−0.715056 + 0.699067i \(0.753599\pi\)
\(140\) −9.70590 + 9.61800i −0.820298 + 0.812870i
\(141\) 6.70969 + 7.13467i 0.565058 + 0.600848i
\(142\) −6.71185 + 17.1015i −0.563246 + 1.43513i
\(143\) 4.90403 + 3.34351i 0.410096 + 0.279599i
\(144\) 24.3221 + 3.33268i 2.02684 + 0.277724i
\(145\) −2.78838 + 9.03970i −0.231562 + 0.750706i
\(146\) −15.1032 + 26.1594i −1.24995 + 2.16497i
\(147\) 4.40260 + 11.2968i 0.363120 + 0.931742i
\(148\) 6.39602 + 11.0782i 0.525750 + 0.910625i
\(149\) 10.3585 2.36426i 0.848601 0.193688i 0.223959 0.974599i \(-0.428102\pi\)
0.624642 + 0.780911i \(0.285245\pi\)
\(150\) −8.47374 14.4520i −0.691878 1.18000i
\(151\) 4.23815 2.04099i 0.344896 0.166093i −0.253414 0.967358i \(-0.581553\pi\)
0.598310 + 0.801265i \(0.295839\pi\)
\(152\) −16.9092 + 2.54865i −1.37152 + 0.206723i
\(153\) 0.887899 + 10.0380i 0.0717823 + 0.811520i
\(154\) 10.7544 + 4.75042i 0.866610 + 0.382800i
\(155\) 1.72879 + 11.4698i 0.138860 + 0.921276i
\(156\) −17.3450 21.4529i −1.38871 1.71761i
\(157\) −7.53331 + 2.95660i −0.601223 + 0.235963i −0.646378 0.763017i \(-0.723717\pi\)
0.0451549 + 0.998980i \(0.485622\pi\)
\(158\) 10.0974 32.7351i 0.803309 2.60426i
\(159\) −16.4996 11.0877i −1.30850 0.879315i
\(160\) 2.47293 8.01704i 0.195502 0.633803i
\(161\) −3.05298 4.17627i −0.240609 0.329136i
\(162\) −16.2137 16.5595i −1.27387 1.30103i
\(163\) 0.698330 + 1.77931i 0.0546974 + 0.139367i 0.955611 0.294633i \(-0.0951973\pi\)
−0.900913 + 0.433999i \(0.857102\pi\)
\(164\) 25.0573 + 12.0670i 1.95665 + 0.942272i
\(165\) 2.06081 2.62007i 0.160434 0.203972i
\(166\) 3.31974i 0.257662i
\(167\) 0.199284 + 2.65925i 0.0154210 + 0.205779i 0.999592 + 0.0285584i \(0.00909165\pi\)
−0.984171 + 0.177221i \(0.943289\pi\)
\(168\) −23.5750 20.1993i −1.81885 1.55841i
\(169\) 0.0874352 1.16674i 0.00672579 0.0897494i
\(170\) 9.61965 + 0.720893i 0.737793 + 0.0552900i
\(171\) 6.60823 + 3.69788i 0.505344 + 0.282784i
\(172\) −3.02474 + 0.933008i −0.230634 + 0.0711412i
\(173\) 7.85132 + 5.35294i 0.596925 + 0.406976i 0.823745 0.566960i \(-0.191881\pi\)
−0.226821 + 0.973937i \(0.572833\pi\)
\(174\) −36.9393 8.17069i −2.80036 0.619419i
\(175\) −0.416762 + 9.92925i −0.0315042 + 0.750581i
\(176\) −14.0818 + 1.05529i −1.06146 + 0.0795451i
\(177\) 11.5983 4.64208i 0.871781 0.348920i
\(178\) 36.3049i 2.72116i
\(179\) −19.5618 + 1.46595i −1.46212 + 0.109571i −0.781884 0.623424i \(-0.785741\pi\)
−0.680234 + 0.732995i \(0.738122\pi\)
\(180\) −12.6832 + 8.89901i −0.945351 + 0.663293i
\(181\) −19.9230 4.54730i −1.48087 0.337998i −0.595675 0.803225i \(-0.703115\pi\)
−0.885191 + 0.465227i \(0.845973\pi\)
\(182\) 2.51771 + 23.2972i 0.186625 + 1.72691i
\(183\) 0.432179 + 5.29027i 0.0319476 + 0.391068i
\(184\) 11.9344 + 5.74731i 0.879817 + 0.423698i
\(185\) −2.94385 0.908059i −0.216436 0.0667618i
\(186\) −45.1546 + 10.6256i −3.31089 + 0.779108i
\(187\) −1.70857 5.53906i −0.124943 0.405056i
\(188\) 16.3265 + 20.4728i 1.19073 + 1.49313i
\(189\) 2.76611 + 13.4666i 0.201205 + 0.979549i
\(190\) 4.51968 5.66749i 0.327892 0.411163i
\(191\) −1.47066 0.577192i −0.106413 0.0417641i 0.311537 0.950234i \(-0.399156\pi\)
−0.417950 + 0.908470i \(0.637251\pi\)
\(192\) 5.08228 + 1.12416i 0.366782 + 0.0811292i
\(193\) −12.5068 + 1.88510i −0.900263 + 0.135693i −0.582836 0.812590i \(-0.698057\pi\)
−0.317427 + 0.948283i \(0.602819\pi\)
\(194\) −7.57117 33.1714i −0.543578 2.38157i
\(195\) 6.57625 + 0.946110i 0.470935 + 0.0677523i
\(196\) 9.27260 + 31.0615i 0.662328 + 2.21868i
\(197\) 3.79666i 0.270501i 0.990811 + 0.135250i \(0.0431839\pi\)
−0.990811 + 0.135250i \(0.956816\pi\)
\(198\) 11.1144 + 7.36106i 0.789865 + 0.523128i
\(199\) 3.82382 + 1.50074i 0.271063 + 0.106385i 0.496980 0.867762i \(-0.334442\pi\)
−0.225916 + 0.974147i \(0.572538\pi\)
\(200\) −11.0409 22.9267i −0.780710 1.62116i
\(201\) −12.9579 7.36570i −0.913977 0.519537i
\(202\) −0.876025 + 5.81205i −0.0616369 + 0.408934i
\(203\) 15.7967 + 15.9410i 1.10871 + 1.11884i
\(204\) 0.180846 + 26.9419i 0.0126618 + 1.88631i
\(205\) −6.40032 + 1.97424i −0.447018 + 0.137887i
\(206\) 10.8066 + 1.62884i 0.752933 + 0.113486i
\(207\) −2.61581 5.25030i −0.181812 0.364921i
\(208\) −15.8550 23.2550i −1.09935 1.61244i
\(209\) −4.16235 1.28391i −0.287916 0.0888102i
\(210\) 13.1501 0.520537i 0.907442 0.0359205i
\(211\) 26.0195 8.02595i 1.79126 0.552529i 0.792873 0.609387i \(-0.208584\pi\)
0.998382 + 0.0568577i \(0.0181081\pi\)
\(212\) −41.5536 33.1379i −2.85391 2.27592i
\(213\) 11.0972 5.43619i 0.760367 0.372482i
\(214\) 2.96356 0.202585
\(215\) 0.381160 0.660188i 0.0259949 0.0450244i
\(216\) −22.4976 27.0743i −1.53077 1.84217i
\(217\) 25.9317 + 9.20649i 1.76036 + 0.624977i
\(218\) −39.7224 2.97679i −2.69034 0.201613i
\(219\) 19.3744 6.11892i 1.30920 0.413478i
\(220\) 6.06192 6.53320i 0.408695 0.440468i
\(221\) 7.85828 8.46921i 0.528605 0.569701i
\(222\) 2.66085 12.0296i 0.178585 0.807374i
\(223\) −10.3323 0.774301i −0.691904 0.0518511i −0.275863 0.961197i \(-0.588964\pi\)
−0.416041 + 0.909346i \(0.636583\pi\)
\(224\) −14.0096 14.1376i −0.936056 0.944611i
\(225\) −2.35980 + 11.0188i −0.157320 + 0.734584i
\(226\) −15.3508 + 26.5884i −1.02112 + 1.76864i
\(227\) −1.73789 −0.115348 −0.0576739 0.998335i \(-0.518368\pi\)
−0.0576739 + 0.998335i \(0.518368\pi\)
\(228\) 16.8043 + 11.2925i 1.11289 + 0.747863i
\(229\) −0.308650 0.246141i −0.0203962 0.0162654i 0.613239 0.789898i \(-0.289866\pi\)
−0.633635 + 0.773632i \(0.718438\pi\)
\(230\) −5.36577 + 1.65512i −0.353809 + 0.109135i
\(231\) −3.17801 7.24129i −0.209098 0.476442i
\(232\) −54.9113 16.9379i −3.60510 1.11203i
\(233\) −13.1158 19.2374i −0.859246 1.26028i −0.964032 0.265788i \(-0.914368\pi\)
0.104785 0.994495i \(-0.466584\pi\)
\(234\) −1.62974 + 26.5204i −0.106539 + 1.73369i
\(235\) −6.23588 0.939908i −0.406784 0.0613128i
\(236\) 31.9171 9.84512i 2.07763 0.640862i
\(237\) −19.8774 + 11.6548i −1.29118 + 0.757063i
\(238\) 12.2635 19.3217i 0.794928 1.25244i
\(239\) −2.27906 + 15.1206i −0.147420 + 0.978071i 0.785726 + 0.618574i \(0.212289\pi\)
−0.933147 + 0.359496i \(0.882949\pi\)
\(240\) −13.6360 + 7.99528i −0.880202 + 0.516093i
\(241\) −12.4692 25.8926i −0.803213 1.66789i −0.742606 0.669728i \(-0.766411\pi\)
−0.0606073 0.998162i \(-0.519304\pi\)
\(242\) 19.2293 + 7.54694i 1.23611 + 0.485136i
\(243\) 0.523078 + 15.5797i 0.0335555 + 0.999437i
\(244\) 14.1913i 0.908507i
\(245\) −6.72508 3.96473i −0.429650 0.253298i
\(246\) −9.95320 24.8682i −0.634593 1.58554i
\(247\) −1.93189 8.46416i −0.122923 0.538561i
\(248\) −69.6728 + 10.5015i −4.42423 + 0.666845i
\(249\) −1.50777 + 1.64703i −0.0955512 + 0.104376i
\(250\) 23.4081 + 9.18699i 1.48046 + 0.581036i
\(251\) 15.7028 19.6907i 0.991151 1.24286i 0.0211461 0.999776i \(-0.493268\pi\)
0.970004 0.243087i \(-0.0781601\pi\)
\(252\) 4.43943 + 36.4872i 0.279658 + 2.29848i
\(253\) 2.10375 + 2.63802i 0.132262 + 0.165851i
\(254\) −12.8757 41.7419i −0.807892 2.61912i
\(255\) −4.44520 4.72675i −0.278369 0.296001i
\(256\) −23.7233 7.31767i −1.48271 0.457355i
\(257\) −17.7709 8.55799i −1.10852 0.533833i −0.212189 0.977229i \(-0.568059\pi\)
−0.896326 + 0.443396i \(0.853774\pi\)
\(258\) 2.75556 + 1.30429i 0.171554 + 0.0812018i
\(259\) −5.19133 + 5.14432i −0.322574 + 0.319653i
\(260\) 17.3181 + 3.95274i 1.07402 + 0.245139i
\(261\) 14.6158 + 20.8310i 0.904695 + 1.28941i
\(262\) 57.9955 4.34616i 3.58297 0.268507i
\(263\) 12.0180i 0.741060i −0.928820 0.370530i \(-0.879176\pi\)
0.928820 0.370530i \(-0.120824\pi\)
\(264\) 15.9155 + 12.5183i 0.979531 + 0.770451i
\(265\) 12.7641 0.956540i 0.784095 0.0587598i
\(266\) −6.80518 15.7932i −0.417252 0.968346i
\(267\) 16.4891 18.0120i 1.00912 1.10232i
\(268\) −32.9260 22.4486i −2.01128 1.37126i
\(269\) 0.815682 0.251605i 0.0497330 0.0153406i −0.269789 0.962920i \(-0.586954\pi\)
0.319522 + 0.947579i \(0.396478\pi\)
\(270\) 14.7976 + 1.92651i 0.900553 + 0.117244i
\(271\) −7.48802 0.561149i −0.454865 0.0340874i −0.154672 0.987966i \(-0.549432\pi\)
−0.300193 + 0.953878i \(0.597051\pi\)
\(272\) −2.05414 + 27.4106i −0.124551 + 1.66201i
\(273\) 9.33213 12.7020i 0.564806 0.768761i
\(274\) −0.423244 5.64780i −0.0255691 0.341196i
\(275\) 6.48194i 0.390876i
\(276\) −5.82754 14.5602i −0.350777 0.876420i
\(277\) 29.7039 + 14.3046i 1.78473 + 0.859483i 0.952178 + 0.305542i \(0.0988378\pi\)
0.832556 + 0.553941i \(0.186877\pi\)
\(278\) 9.10013 + 23.1868i 0.545789 + 1.39065i
\(279\) 27.2286 + 15.2368i 1.63013 + 0.912202i
\(280\) 19.9721 + 0.838290i 1.19356 + 0.0500974i
\(281\) −8.65328 + 28.0533i −0.516212 + 1.67352i 0.203364 + 0.979103i \(0.434813\pi\)
−0.719576 + 0.694414i \(0.755664\pi\)
\(282\) 1.71585 25.1617i 0.102177 1.49836i
\(283\) −2.25201 + 7.30082i −0.133868 + 0.433989i −0.997543 0.0700604i \(-0.977681\pi\)
0.863675 + 0.504049i \(0.168157\pi\)
\(284\) 30.7547 12.0703i 1.82495 0.716241i
\(285\) −4.81644 + 0.759060i −0.285301 + 0.0449628i
\(286\) −2.27794 15.1131i −0.134697 0.893658i
\(287\) −3.02504 + 15.5990i −0.178563 + 0.920779i
\(288\) −12.9623 18.4744i −0.763812 1.08862i
\(289\) 5.65294 0.852044i 0.332526 0.0501202i
\(290\) 21.9475 10.5694i 1.28880 0.620654i
\(291\) −11.3096 + 19.8961i −0.662983 + 1.16633i
\(292\) 52.9598 12.0877i 3.09924 0.707381i
\(293\) −0.520500 0.901532i −0.0304079 0.0526681i 0.850421 0.526103i \(-0.176347\pi\)
−0.880829 + 0.473435i \(0.843014\pi\)
\(294\) 13.6132 28.0965i 0.793939 1.63862i
\(295\) −4.02200 + 6.96631i −0.234170 + 0.405594i
\(296\) 5.51597 17.8823i 0.320609 1.03939i
\(297\) −2.17092 8.70004i −0.125970 0.504827i
\(298\) −22.6055 15.4122i −1.30950 0.892804i
\(299\) −2.45697 + 6.26026i −0.142090 + 0.362040i
\(300\) −8.68696 + 28.8485i −0.501542 + 1.66557i
\(301\) −0.955190 1.53564i −0.0550562 0.0885127i
\(302\) −11.2757 4.42537i −0.648842 0.254652i
\(303\) 3.07436 2.48567i 0.176618 0.142798i
\(304\) 16.1492 + 12.8786i 0.926220 + 0.738636i
\(305\) −2.32464 2.50536i −0.133108 0.143457i
\(306\) 17.3929 19.2573i 0.994287 1.10086i
\(307\) 14.9952 3.42256i 0.855822 0.195336i 0.227970 0.973668i \(-0.426791\pi\)
0.627853 + 0.778332i \(0.283934\pi\)
\(308\) −6.89223 19.9881i −0.392721 1.13892i
\(309\) −4.62172 5.71632i −0.262921 0.325190i
\(310\) 18.6229 23.3524i 1.05771 1.32633i
\(311\) −3.95676 + 2.69767i −0.224367 + 0.152971i −0.670287 0.742102i \(-0.733829\pi\)
0.445920 + 0.895073i \(0.352877\pi\)
\(312\) −5.74711 + 39.9472i −0.325366 + 2.26156i
\(313\) −16.8012 + 9.70019i −0.949661 + 0.548287i −0.892976 0.450105i \(-0.851387\pi\)
−0.0566856 + 0.998392i \(0.518053\pi\)
\(314\) 18.7754 + 9.04176i 1.05956 + 0.510256i
\(315\) −6.76060 5.71431i −0.380917 0.321965i
\(316\) −55.5055 + 26.7301i −3.12243 + 1.50368i
\(317\) −14.5793 + 21.3839i −0.818854 + 1.20104i 0.158065 + 0.987429i \(0.449474\pi\)
−0.976919 + 0.213610i \(0.931478\pi\)
\(318\) 7.96896 + 50.5652i 0.446877 + 2.83556i
\(319\) −10.7302 9.95614i −0.600774 0.557437i
\(320\) −3.01963 + 1.45418i −0.168803 + 0.0812910i
\(321\) −1.47032 1.34600i −0.0820650 0.0751265i
\(322\) −2.53608 + 13.0776i −0.141330 + 0.728784i
\(323\) −3.67882 + 7.63915i −0.204695 + 0.425054i
\(324\) −1.99770 + 41.6298i −0.110983 + 2.31277i
\(325\) 11.1885 6.45969i 0.620627 0.358319i
\(326\) 2.13560 4.43462i 0.118280 0.245611i
\(327\) 18.3556 + 19.5182i 1.01507 + 1.07936i
\(328\) −11.9924 38.8785i −0.662171 2.14671i
\(329\) −8.93860 + 11.9968i −0.492801 + 0.661404i
\(330\) −8.55521 + 0.698903i −0.470949 + 0.0384733i
\(331\) −0.468105 6.24643i −0.0257294 0.343335i −0.995181 0.0980529i \(-0.968739\pi\)
0.969452 0.245282i \(-0.0788805\pi\)
\(332\) −4.37638 + 4.06069i −0.240185 + 0.222859i
\(333\) −6.78379 + 4.75976i −0.371750 + 0.260833i
\(334\) 4.67068 5.03379i 0.255568 0.275437i
\(335\) 9.49004 1.43039i 0.518497 0.0781508i
\(336\) 1.48324 + 37.4704i 0.0809174 + 2.04418i
\(337\) −16.6306 2.50666i −0.905928 0.136547i −0.320479 0.947256i \(-0.603844\pi\)
−0.585449 + 0.810709i \(0.699082\pi\)
\(338\) −2.35553 + 1.87847i −0.128124 + 0.102175i
\(339\) 19.6921 6.21927i 1.06953 0.337784i
\(340\) −10.8164 13.5633i −0.586599 0.735572i
\(341\) −17.1506 5.29025i −0.928756 0.286483i
\(342\) −4.59388 18.9507i −0.248408 1.02474i
\(343\) −15.8145 + 9.63847i −0.853905 + 0.520429i
\(344\) 4.01029 + 2.31534i 0.216220 + 0.124835i
\(345\) 3.41386 + 1.61589i 0.183796 + 0.0869966i
\(346\) −3.64696 24.1960i −0.196062 1.30079i
\(347\) 1.07048 + 0.0802211i 0.0574661 + 0.00430649i 0.103432 0.994637i \(-0.467018\pi\)
−0.0459660 + 0.998943i \(0.514637\pi\)
\(348\) 34.4127 + 58.6912i 1.84471 + 3.14618i
\(349\) −22.0922 + 8.67055i −1.18257 + 0.464124i −0.873457 0.486901i \(-0.838127\pi\)
−0.309112 + 0.951026i \(0.600032\pi\)
\(350\) 19.4728 16.6041i 1.04087 0.887528i
\(351\) 12.8537 12.4174i 0.686080 0.662792i
\(352\) 9.51627 + 8.82981i 0.507219 + 0.470630i
\(353\) 8.14547 10.2141i 0.433540 0.543642i −0.516288 0.856415i \(-0.672687\pi\)
0.949828 + 0.312773i \(0.101258\pi\)
\(354\) −29.0767 13.7629i −1.54541 0.731492i
\(355\) −3.45228 + 7.16874i −0.183228 + 0.380477i
\(356\) 47.8604 44.4079i 2.53659 2.35362i
\(357\) −14.8599 + 4.01619i −0.786471 + 0.212559i
\(358\) 37.0292 + 34.3581i 1.95705 + 1.81588i
\(359\) 11.3763 4.46485i 0.600416 0.235646i −0.0456128 0.998959i \(-0.514524\pi\)
0.646028 + 0.763313i \(0.276429\pi\)
\(360\) 22.1636 + 4.74658i 1.16812 + 0.250167i
\(361\) −6.31428 10.9366i −0.332330 0.575613i
\(362\) 26.3110 + 45.5720i 1.38288 + 2.39521i
\(363\) −6.11257 12.4779i −0.320826 0.654921i
\(364\) 27.6329 31.8161i 1.44836 1.66762i
\(365\) −7.36957 + 10.8092i −0.385741 + 0.565778i
\(366\) 9.22919 10.0816i 0.482417 0.526973i
\(367\) −11.5895 2.64522i −0.604965 0.138079i −0.0909429 0.995856i \(-0.528988\pi\)
−0.514023 + 0.857777i \(0.671845\pi\)
\(368\) −4.71617 15.2895i −0.245848 0.797018i
\(369\) −6.35664 + 16.8585i −0.330914 + 0.877618i
\(370\) 3.44200 + 7.14738i 0.178941 + 0.371575i
\(371\) 12.2695 27.7765i 0.636998 1.44208i
\(372\) 69.2405 + 46.5296i 3.58995 + 2.41245i
\(373\) −10.3011 −0.533372 −0.266686 0.963784i \(-0.585929\pi\)
−0.266686 + 0.963784i \(0.585929\pi\)
\(374\) −7.46323 + 12.9267i −0.385914 + 0.668423i
\(375\) −7.44091 15.1895i −0.384247 0.784384i
\(376\) 5.70943 37.8796i 0.294442 1.95349i
\(377\) 6.49201 28.4434i 0.334356 1.46491i
\(378\) 20.5753 28.8078i 1.05828 1.48171i
\(379\) −4.90156 21.4751i −0.251776 1.10310i −0.929801 0.368064i \(-0.880021\pi\)
0.678024 0.735039i \(-0.262836\pi\)
\(380\) −12.9998 + 0.974204i −0.666878 + 0.0499756i
\(381\) −12.5705 + 26.5574i −0.644006 + 1.36058i
\(382\) 1.48629 + 3.78702i 0.0760454 + 0.193761i
\(383\) −2.36124 + 10.3453i −0.120654 + 0.528618i 0.878090 + 0.478496i \(0.158818\pi\)
−0.998743 + 0.0501215i \(0.984039\pi\)
\(384\) 6.40150 + 10.9178i 0.326675 + 0.557148i
\(385\) 4.49095 + 2.39973i 0.228880 + 0.122302i
\(386\) 25.4638 + 20.3067i 1.29608 + 1.03359i
\(387\) −0.774731 1.89863i −0.0393818 0.0965130i
\(388\) −34.4686 + 50.5561i −1.74988 + 2.56660i
\(389\) 1.62044 1.29225i 0.0821594 0.0655199i −0.581549 0.813511i \(-0.697553\pi\)
0.663708 + 0.747992i \(0.268982\pi\)
\(390\) −9.73222 14.0707i −0.492810 0.712497i
\(391\) 5.68796 3.28395i 0.287652 0.166076i
\(392\) 24.0836 40.8513i 1.21641 2.06330i
\(393\) −30.7474 24.1844i −1.55100 1.21994i
\(394\) 7.16673 6.64975i 0.361054 0.335010i
\(395\) 5.42048 13.8112i 0.272734 0.694915i
\(396\) −3.89104 23.6560i −0.195532 1.18876i
\(397\) −2.76622 18.3526i −0.138832 0.921093i −0.944450 0.328656i \(-0.893404\pi\)
0.805617 0.592437i \(-0.201834\pi\)
\(398\) −3.86447 9.84651i −0.193708 0.493561i
\(399\) −3.79677 + 10.9263i −0.190076 + 0.547001i
\(400\) −11.2297 + 28.6127i −0.561483 + 1.43064i
\(401\) 31.6321 + 7.21982i 1.57963 + 0.360541i 0.920269 0.391285i \(-0.127969\pi\)
0.659362 + 0.751826i \(0.270827\pi\)
\(402\) 8.79158 + 37.3607i 0.438484 + 1.86338i
\(403\) −7.96017 34.8758i −0.396524 1.73729i
\(404\) 8.73352 5.95441i 0.434509 0.296243i
\(405\) −6.46657 7.67664i −0.321326 0.381455i
\(406\) 2.42348 57.7388i 0.120275 2.86553i
\(407\) 3.24230 3.49437i 0.160715 0.173209i
\(408\) 28.7125 27.0022i 1.42148 1.33681i
\(409\) 5.87795 + 8.62138i 0.290646 + 0.426300i 0.943595 0.331103i \(-0.107421\pi\)
−0.652949 + 0.757402i \(0.726468\pi\)
\(410\) 14.9366 + 8.62368i 0.737668 + 0.425893i
\(411\) −2.35516 + 2.99428i −0.116171 + 0.147697i
\(412\) −11.0713 16.2387i −0.545445 0.800021i
\(413\) 10.0792 + 16.2041i 0.495964 + 0.797350i
\(414\) −5.32916 + 14.1335i −0.261914 + 0.694623i
\(415\) 0.107446 1.43376i 0.00527430 0.0703806i
\(416\) −5.75757 + 25.2256i −0.282288 + 1.23679i
\(417\) 6.01619 15.6368i 0.294614 0.765739i
\(418\) 4.86668 + 10.1058i 0.238037 + 0.494289i
\(419\) −7.34173 5.00551i −0.358667 0.244535i 0.370558 0.928810i \(-0.379167\pi\)
−0.729225 + 0.684275i \(0.760119\pi\)
\(420\) −16.7713 16.6989i −0.818357 0.814824i
\(421\) 7.43332 5.06795i 0.362278 0.246997i −0.368477 0.929637i \(-0.620121\pi\)
0.730755 + 0.682640i \(0.239168\pi\)
\(422\) −60.7226 35.0582i −2.95593 1.70661i
\(423\) −12.2793 + 11.7042i −0.597041 + 0.569078i
\(424\) 5.81047 + 77.5353i 0.282181 + 3.76545i
\(425\) −12.4764 1.88051i −0.605192 0.0912181i
\(426\) −29.6980 11.4262i −1.43888 0.553600i
\(427\) −7.84114 + 2.06285i −0.379459 + 0.0998281i
\(428\) −3.62501 3.90683i −0.175221 0.188844i
\(429\) −5.73399 + 8.53271i −0.276840 + 0.411963i
\(430\) −1.91379 + 0.436810i −0.0922911 + 0.0210648i
\(431\) −4.78560 + 31.7504i −0.230514 + 1.52936i 0.511680 + 0.859176i \(0.329024\pi\)
−0.742194 + 0.670185i \(0.766215\pi\)
\(432\) −5.48948 + 42.1649i −0.264113 + 2.02866i
\(433\) 11.1333 8.87853i 0.535033 0.426675i −0.318339 0.947977i \(-0.603125\pi\)
0.853372 + 0.521302i \(0.174554\pi\)
\(434\) −28.0401 65.0746i −1.34597 3.12368i
\(435\) −15.6893 4.72441i −0.752244 0.226518i
\(436\) 44.6640 + 56.0069i 2.13902 + 2.68224i
\(437\) 0.368828 4.92167i 0.0176434 0.235435i
\(438\) −45.4840 25.8547i −2.17331 1.23539i
\(439\) 10.6514 + 11.4795i 0.508364 + 0.547886i 0.934123 0.356950i \(-0.116183\pi\)
−0.425759 + 0.904837i \(0.639993\pi\)
\(440\) −13.0380 −0.621563
\(441\) −19.5150 + 7.75668i −0.929284 + 0.369366i
\(442\) −29.7504 −1.41508
\(443\) −23.0802 24.8745i −1.09657 1.18182i −0.982093 0.188399i \(-0.939670\pi\)
−0.114481 0.993425i \(-0.536520\pi\)
\(444\) −19.1133 + 11.2068i −0.907075 + 0.531850i
\(445\) −1.17503 + 15.6797i −0.0557018 + 0.743289i
\(446\) 16.6352 + 20.8599i 0.787701 + 0.987746i
\(447\) 4.21535 + 17.9135i 0.199379 + 0.847282i
\(448\) −0.333433 + 7.94396i −0.0157532 + 0.375317i
\(449\) −6.07954 + 4.84827i −0.286911 + 0.228804i −0.756360 0.654156i \(-0.773024\pi\)
0.469449 + 0.882960i \(0.344453\pi\)
\(450\) 24.9326 14.8446i 1.17533 0.699783i
\(451\) 1.54465 10.2481i 0.0727345 0.482562i
\(452\) 53.8284 12.2860i 2.53187 0.577884i
\(453\) 3.58428 + 7.31680i 0.168404 + 0.343773i
\(454\) 3.04387 + 3.28051i 0.142856 + 0.153962i
\(455\) 0.333342 + 10.1433i 0.0156273 + 0.475527i
\(456\) −4.61088 29.2573i −0.215924 1.37010i
\(457\) 5.38058 + 0.810992i 0.251693 + 0.0379366i 0.273677 0.961822i \(-0.411760\pi\)
−0.0219838 + 0.999758i \(0.506998\pi\)
\(458\) 0.0759686 + 1.01373i 0.00354978 + 0.0473685i
\(459\) −17.3755 + 1.65455i −0.811020 + 0.0772279i
\(460\) 8.74532 + 5.04911i 0.407753 + 0.235416i
\(461\) −1.59016 + 1.08415i −0.0740611 + 0.0504940i −0.599785 0.800162i \(-0.704747\pi\)
0.525723 + 0.850656i \(0.323795\pi\)
\(462\) −8.10275 + 18.6819i −0.376974 + 0.869160i
\(463\) 8.61418 + 5.87305i 0.400335 + 0.272944i 0.746707 0.665154i \(-0.231634\pi\)
−0.346372 + 0.938097i \(0.612586\pi\)
\(464\) 30.1168 + 62.5381i 1.39814 + 2.90326i
\(465\) −19.8457 + 3.12764i −0.920323 + 0.145041i
\(466\) −13.3412 + 58.4518i −0.618021 + 2.70773i
\(467\) −1.57397 + 21.0032i −0.0728348 + 0.971912i 0.834365 + 0.551212i \(0.185835\pi\)
−0.907200 + 0.420700i \(0.861785\pi\)
\(468\) 36.9551 30.2911i 1.70825 1.40021i
\(469\) 7.61740 21.4557i 0.351739 0.990733i
\(470\) 9.14778 + 13.4173i 0.421956 + 0.618895i
\(471\) −5.20846 13.0134i −0.239993 0.599626i
\(472\) −42.3166 24.4315i −1.94778 1.12455i
\(473\) 0.664467 + 0.974594i 0.0305522 + 0.0448119i
\(474\) 56.8150 + 17.1083i 2.60960 + 0.785811i
\(475\) −6.44893 + 6.95030i −0.295897 + 0.318901i
\(476\) −40.4723 + 7.46725i −1.85504 + 0.342261i
\(477\) 19.0123 28.7064i 0.870512 1.31438i
\(478\) 32.5340 22.1813i 1.48807 1.01455i
\(479\) −3.25012 14.2397i −0.148502 0.650629i −0.993302 0.115547i \(-0.963138\pi\)
0.844800 0.535082i \(-0.179719\pi\)
\(480\) 13.9144 + 4.18994i 0.635101 + 0.191244i
\(481\) 9.26282 + 2.11418i 0.422348 + 0.0963982i
\(482\) −27.0364 + 68.8877i −1.23148 + 3.13775i
\(483\) 7.19785 5.33635i 0.327514 0.242812i
\(484\) −13.5721 34.5812i −0.616914 1.57187i
\(485\) −2.19629 14.5715i −0.0997286 0.661656i
\(486\) 28.4927 28.2748i 1.29245 1.28257i
\(487\) 1.19226 3.03783i 0.0540265 0.137657i −0.901312 0.433170i \(-0.857395\pi\)
0.955339 + 0.295512i \(0.0954903\pi\)
\(488\) 15.2187 14.1209i 0.688920 0.639224i
\(489\) −3.07367 + 1.23020i −0.138996 + 0.0556316i
\(490\) 4.29482 + 19.6387i 0.194020 + 0.887185i
\(491\) 32.1235 18.5465i 1.44972 0.836993i 0.451251 0.892397i \(-0.350978\pi\)
0.998464 + 0.0554037i \(0.0176446\pi\)
\(492\) −20.6088 + 43.5399i −0.929117 + 1.96293i
\(493\) −22.2764 + 17.7649i −1.00328 + 0.800089i
\(494\) −12.5936 + 18.4715i −0.566615 + 0.831071i
\(495\) 4.56194 + 3.53889i 0.205044 + 0.159061i
\(496\) 66.5413 + 53.0649i 2.98779 + 2.38268i
\(497\) 11.1397 + 15.2383i 0.499684 + 0.683533i
\(498\) 5.74983 0.0385954i 0.257656 0.00172950i
\(499\) −2.58301 + 11.3169i −0.115631 + 0.506615i 0.883630 + 0.468186i \(0.155092\pi\)
−0.999261 + 0.0384285i \(0.987765\pi\)
\(500\) −16.5215 42.0961i −0.738865 1.88260i
\(501\) −4.60354 + 0.376078i −0.205671 + 0.0168019i
\(502\) −64.6719 + 4.84649i −2.88645 + 0.216310i
\(503\) 5.58998 + 24.4913i 0.249245 + 1.09201i 0.932311 + 0.361657i \(0.117789\pi\)
−0.683066 + 0.730357i \(0.739354\pi\)
\(504\) 34.7113 41.0670i 1.54617 1.82927i
\(505\) −0.566458 + 2.48181i −0.0252070 + 0.110439i
\(506\) 1.29497 8.59156i 0.0575684 0.381941i
\(507\) 2.02183 + 0.137874i 0.0897925 + 0.00612321i
\(508\) −39.2785 + 68.0324i −1.74270 + 3.01845i
\(509\) 30.2483 1.34073 0.670366 0.742031i \(-0.266137\pi\)
0.670366 + 0.742031i \(0.266137\pi\)
\(510\) −1.13676 + 16.6697i −0.0503364 + 0.738148i
\(511\) 14.3771 + 27.5048i 0.636004 + 1.21674i
\(512\) 21.3969 + 44.4310i 0.945616 + 1.96359i
\(513\) −6.32795 + 11.4885i −0.279386 + 0.507231i
\(514\) 14.9708 + 48.5341i 0.660333 + 2.14075i
\(515\) 4.61456 + 1.05324i 0.203342 + 0.0464114i
\(516\) −1.65115 5.22803i −0.0726877 0.230151i
\(517\) 5.49683 8.06237i 0.241750 0.354583i
\(518\) 18.8031 + 0.789227i 0.826162 + 0.0346766i
\(519\) −9.18007 + 13.6608i −0.402960 + 0.599643i
\(520\) −12.9933 22.5050i −0.569792 0.986909i
\(521\) −7.87476 13.6395i −0.345000 0.597557i 0.640354 0.768080i \(-0.278788\pi\)
−0.985354 + 0.170523i \(0.945454\pi\)
\(522\) 13.7223 64.0744i 0.600608 2.80446i
\(523\) 1.95790 0.768421i 0.0856132 0.0336007i −0.322148 0.946689i \(-0.604405\pi\)
0.407761 + 0.913089i \(0.366310\pi\)
\(524\) −76.6693 71.1387i −3.34931 3.10771i
\(525\) −17.2024 0.606399i −0.750775 0.0264654i
\(526\) −22.6856 + 21.0492i −0.989141 + 0.917789i
\(527\) −15.1582 + 31.4764i −0.660304 + 1.37113i
\(528\) −1.99148 24.3776i −0.0866681 1.06090i
\(529\) 11.9566 14.9931i 0.519851 0.651873i
\(530\) −24.1617 22.4188i −1.04952 0.973809i
\(531\) 8.17497 + 20.0344i 0.354764 + 0.869419i
\(532\) −12.4960 + 28.2894i −0.541771 + 1.22650i
\(533\) 19.2285 7.54665i 0.832881 0.326882i
\(534\) −62.8804 + 0.422082i −2.72110 + 0.0182653i
\(535\) 1.27993 + 0.0959176i 0.0553362 + 0.00414688i
\(536\) 8.68887 + 57.6469i 0.375302 + 2.48997i
\(537\) −2.76648 33.8642i −0.119382 1.46135i
\(538\) −1.90359 1.09904i −0.0820694 0.0473828i
\(539\) 10.0421 6.71362i 0.432546 0.289176i
\(540\) −15.5606 21.8640i −0.669623 0.940878i
\(541\) −26.9043 8.29889i −1.15671 0.356797i −0.343717 0.939073i \(-0.611686\pi\)
−0.812991 + 0.582276i \(0.802162\pi\)
\(542\) 12.0558 + 15.1175i 0.517842 + 0.649354i
\(543\) 7.64435 34.5598i 0.328050 1.48310i
\(544\) 19.7563 15.7551i 0.847045 0.675496i
\(545\) −17.0594 2.57129i −0.730744 0.110142i
\(546\) −40.3218 + 4.63155i −1.72562 + 0.198212i
\(547\) 21.9649 3.31067i 0.939151 0.141554i 0.338411 0.940999i \(-0.390111\pi\)
0.600740 + 0.799444i \(0.294873\pi\)
\(548\) −6.92773 + 7.46632i −0.295938 + 0.318945i
\(549\) −9.15779 + 0.810045i −0.390845 + 0.0345719i
\(550\) −12.2356 + 11.3530i −0.521727 + 0.484092i
\(551\) 1.60004 + 21.3510i 0.0681640 + 0.909585i
\(552\) −9.81566 + 20.7374i −0.417782 + 0.882641i
\(553\) −22.8374 26.7830i −0.971146 1.13893i
\(554\) −25.0236 81.1246i −1.06315 3.44665i
\(555\) 1.53854 5.10935i 0.0653075 0.216880i
\(556\) 19.4356 40.3585i 0.824255 1.71158i
\(557\) 14.5561 8.40396i 0.616761 0.356087i −0.158846 0.987303i \(-0.550777\pi\)
0.775607 + 0.631216i \(0.217444\pi\)
\(558\) −18.9287 78.0847i −0.801314 3.30559i
\(559\) −1.02007 + 2.11819i −0.0431442 + 0.0895898i
\(560\) −15.6666 18.3733i −0.662035 0.776413i
\(561\) 9.57385 3.02366i 0.404208 0.127659i
\(562\) 68.1105 32.8003i 2.87307 1.38360i
\(563\) 23.2410 + 21.5645i 0.979490 + 0.908833i 0.995848 0.0910327i \(-0.0290168\pi\)
−0.0163583 + 0.999866i \(0.505207\pi\)
\(564\) −35.2692 + 28.5157i −1.48510 + 1.20073i
\(565\) −7.49043 + 10.9864i −0.315125 + 0.462203i
\(566\) 17.7257 8.53623i 0.745065 0.358805i
\(567\) −23.2921 + 4.94750i −0.978177 + 0.207776i
\(568\) −43.5462 20.9708i −1.82716 0.879913i
\(569\) −13.0482 + 7.53337i −0.547008 + 0.315815i −0.747914 0.663795i \(-0.768945\pi\)
0.200906 + 0.979610i \(0.435611\pi\)
\(570\) 9.86871 + 7.76224i 0.413355 + 0.325124i
\(571\) 11.8968 8.11111i 0.497866 0.339440i −0.288212 0.957567i \(-0.593061\pi\)
0.786078 + 0.618127i \(0.212108\pi\)
\(572\) −17.1371 + 21.4893i −0.716540 + 0.898513i
\(573\) 0.982605 2.55391i 0.0410489 0.106691i
\(574\) 34.7436 21.6110i 1.45017 0.902027i
\(575\) 7.16031 1.63429i 0.298605 0.0681547i
\(576\) −1.88797 + 8.81563i −0.0786655 + 0.367318i
\(577\) −0.687286 0.740718i −0.0286121 0.0308365i 0.718584 0.695441i \(-0.244791\pi\)
−0.747196 + 0.664604i \(0.768600\pi\)
\(578\) −11.5093 9.17839i −0.478725 0.381771i
\(579\) −3.41043 21.6401i −0.141733 0.899332i
\(580\) −40.7795 16.0048i −1.69328 0.664563i
\(581\) −2.87980 1.82782i −0.119474 0.0758308i
\(582\) 57.3653 13.4990i 2.37787 0.559552i
\(583\) −7.23582 + 18.4366i −0.299677 + 0.763565i
\(584\) −65.6599 44.7662i −2.71703 1.85244i
\(585\) −1.56222 + 11.4011i −0.0645898 + 0.471379i
\(586\) −0.790127 + 2.56153i −0.0326398 + 0.105816i
\(587\) −8.17677 + 14.1626i −0.337491 + 0.584552i −0.983960 0.178388i \(-0.942912\pi\)
0.646469 + 0.762940i \(0.276245\pi\)
\(588\) −53.6910 + 16.4214i −2.21418 + 0.677206i
\(589\) 13.1265 + 22.7357i 0.540867 + 0.936810i
\(590\) 20.1943 4.60922i 0.831387 0.189759i
\(591\) −6.57585 + 0.0441401i −0.270494 + 0.00181568i
\(592\) −20.3661 + 9.80778i −0.837040 + 0.403097i
\(593\) −14.1505 + 2.13284i −0.581091 + 0.0875854i −0.433009 0.901390i \(-0.642548\pi\)
−0.148082 + 0.988975i \(0.547310\pi\)
\(594\) −12.6202 + 19.3358i −0.517814 + 0.793358i
\(595\) 5.92186 7.94792i 0.242773 0.325833i
\(596\) 7.33322 + 48.6528i 0.300381 + 1.99289i
\(597\) −2.55484 + 6.64035i −0.104563 + 0.271771i
\(598\) 16.1205 6.32681i 0.659214 0.258723i
\(599\) −6.52931 + 21.1675i −0.266780 + 0.864881i 0.718733 + 0.695286i \(0.244722\pi\)
−0.985514 + 0.169595i \(0.945754\pi\)
\(600\) 39.5809 19.3895i 1.61588 0.791574i
\(601\) 8.89549 28.8385i 0.362855 1.17635i −0.571681 0.820476i \(-0.693708\pi\)
0.934536 0.355870i \(-0.115815\pi\)
\(602\) −1.22574 + 4.49269i −0.0499575 + 0.183108i
\(603\) 12.6068 22.5288i 0.513390 0.917444i
\(604\) 7.95841 + 20.2777i 0.323823 + 0.825088i
\(605\) 8.06068 + 3.88182i 0.327713 + 0.157818i
\(606\) −10.0767 1.44972i −0.409339 0.0588907i
\(607\) 46.5312i 1.88864i −0.329022 0.944322i \(-0.606719\pi\)
0.329022 0.944322i \(-0.393281\pi\)
\(608\) −1.41903 18.9356i −0.0575492 0.767941i
\(609\) −27.4264 + 27.5454i −1.11137 + 1.11619i
\(610\) −0.657683 + 8.77616i −0.0266288 + 0.355336i
\(611\) 19.3945 + 1.45341i 0.784616 + 0.0587988i
\(612\) −46.6616 + 0.626456i −1.88618 + 0.0253230i
\(613\) 37.4145 11.5409i 1.51116 0.466131i 0.575132 0.818060i \(-0.304951\pi\)
0.936026 + 0.351930i \(0.114474\pi\)
\(614\) −32.7243 22.3111i −1.32065 0.900401i
\(615\) −3.49381 11.0625i −0.140884 0.446082i
\(616\) −14.5771 + 27.2801i −0.587327 + 1.09915i
\(617\) 16.6360 1.24670i 0.669741 0.0501901i 0.264480 0.964391i \(-0.414800\pi\)
0.405261 + 0.914201i \(0.367181\pi\)
\(618\) −2.69553 + 18.7361i −0.108430 + 0.753678i
\(619\) 30.2458i 1.21568i −0.794059 0.607841i \(-0.792036\pi\)
0.794059 0.607841i \(-0.207964\pi\)
\(620\) −53.5647 + 4.01412i −2.15121 + 0.161211i
\(621\) 9.06318 4.59166i 0.363693 0.184257i
\(622\) 12.0224 + 2.74403i 0.482054 + 0.110026i
\(623\) 31.4937 + 19.9892i 1.26177 + 0.800849i
\(624\) 40.0936 27.7314i 1.60503 1.11014i
\(625\) −7.10876 3.42340i −0.284350 0.136936i
\(626\) 47.7374 + 14.7250i 1.90797 + 0.588531i
\(627\) 2.17536 7.22416i 0.0868756 0.288505i
\(628\) −11.0463 35.8113i −0.440796 1.42903i
\(629\) −5.78528 7.25451i −0.230674 0.289256i
\(630\) 1.05446 + 22.7700i 0.0420107 + 0.907180i
\(631\) −7.14716 + 8.96225i −0.284524 + 0.356782i −0.903470 0.428652i \(-0.858989\pi\)
0.618946 + 0.785434i \(0.287560\pi\)
\(632\) 83.8953 + 32.9265i 3.33718 + 1.30975i
\(633\) 14.2035 + 44.9727i 0.564540 + 1.78751i
\(634\) 65.9004 9.93288i 2.61724 0.394485i
\(635\) −4.20987 18.4447i −0.167064 0.731954i
\(636\) 56.9121 72.3565i 2.25671 2.86912i
\(637\) 21.5961 + 10.6432i 0.855668 + 0.421700i
\(638\) 37.6926i 1.49227i
\(639\) 9.54456 + 19.1573i 0.377577 + 0.757850i
\(640\) −7.58587 2.97724i −0.299858 0.117686i
\(641\) 11.7792 + 24.4597i 0.465250 + 0.966101i 0.993156 + 0.116798i \(0.0372631\pi\)
−0.527906 + 0.849303i \(0.677023\pi\)
\(642\) 0.0344545 + 5.13292i 0.00135981 + 0.202580i
\(643\) 0.851030 5.64622i 0.0335614 0.222665i −0.965763 0.259427i \(-0.916466\pi\)
0.999324 + 0.0367621i \(0.0117044\pi\)
\(644\) 20.3421 12.6531i 0.801593 0.498603i
\(645\) 1.14788 + 0.652497i 0.0451979 + 0.0256921i
\(646\) 20.8633 6.43549i 0.820857 0.253201i
\(647\) 5.86559 + 0.884096i 0.230600 + 0.0347574i 0.263326 0.964707i \(-0.415181\pi\)
−0.0327255 + 0.999464i \(0.510419\pi\)
\(648\) 46.6314 39.2809i 1.83186 1.54310i
\(649\) −7.01147 10.2839i −0.275224 0.403680i
\(650\) −31.7900 9.80591i −1.24691 0.384619i
\(651\) −15.6443 + 45.0210i −0.613147 + 1.76451i
\(652\) −8.45838 + 2.60906i −0.331256 + 0.102179i
\(653\) 20.8592 + 16.6347i 0.816284 + 0.650965i 0.939932 0.341361i \(-0.110888\pi\)
−0.123648 + 0.992326i \(0.539459\pi\)
\(654\) 4.69401 68.8343i 0.183550 2.69164i
\(655\) 25.1883 0.984190
\(656\) −24.5727 + 42.5611i −0.959402 + 1.66173i
\(657\) 10.8233 + 33.4855i 0.422257 + 1.30639i
\(658\) 38.3014 4.13919i 1.49314 0.161362i
\(659\) 7.05481 + 0.528685i 0.274817 + 0.0205947i 0.211426 0.977394i \(-0.432189\pi\)
0.0633910 + 0.997989i \(0.479808\pi\)
\(660\) 11.3860 + 10.4234i 0.443201 + 0.405729i
\(661\) 13.0513 14.0659i 0.507636 0.547102i −0.426281 0.904591i \(-0.640177\pi\)
0.933917 + 0.357489i \(0.116367\pi\)
\(662\) −10.9711 + 11.8241i −0.426405 + 0.459556i
\(663\) 14.7601 + 13.5122i 0.573236 + 0.524769i
\(664\) 8.70933 + 0.652674i 0.337988 + 0.0253287i
\(665\) −2.42793 7.04120i −0.0941511 0.273046i
\(666\) 20.8664 + 4.46877i 0.808555 + 0.173162i
\(667\) 8.29270 14.3634i 0.321094 0.556152i
\(668\) −12.3492 −0.477803
\(669\) 1.22098 17.9047i 0.0472056 0.692237i
\(670\) −19.3217 15.4085i −0.746460 0.595282i
\(671\) 5.05337 1.55876i 0.195083 0.0601752i
\(672\) 24.3237 24.4292i 0.938306 0.942376i
\(673\) 19.0646 + 5.88064i 0.734885 + 0.226682i 0.639535 0.768762i \(-0.279127\pi\)
0.0953499 + 0.995444i \(0.469603\pi\)
\(674\) 24.3964 + 35.7830i 0.939716 + 1.37831i
\(675\) −19.1121 3.95909i −0.735624 0.152386i
\(676\) 5.35765 + 0.807536i 0.206063 + 0.0310591i
\(677\) −26.3518 + 8.12846i −1.01278 + 0.312402i −0.756355 0.654161i \(-0.773022\pi\)
−0.256428 + 0.966563i \(0.582546\pi\)
\(678\) −46.2300 26.2787i −1.77545 1.00923i
\(679\) −32.9441 11.6961i −1.26428 0.448856i
\(680\) −3.78252 + 25.0954i −0.145053 + 0.962365i
\(681\) −0.0202048 3.01004i −0.000774249 0.115345i
\(682\) 20.0527 + 41.6399i 0.767858 + 1.59447i
\(683\) −3.51584 1.37986i −0.134530 0.0527991i 0.297121 0.954840i \(-0.403974\pi\)
−0.431651 + 0.902041i \(0.642069\pi\)
\(684\) −19.3633 + 29.2365i −0.740376 + 1.11788i
\(685\) 2.45293i 0.0937215i
\(686\) 45.8928 + 12.9706i 1.75219 + 0.495221i
\(687\) 0.422730 0.537448i 0.0161282 0.0205049i
\(688\) −1.24466 5.45323i −0.0474524 0.207903i
\(689\) −39.0344 + 5.88349i −1.48709 + 0.224143i
\(690\) −2.92907 9.27434i −0.111508 0.353068i
\(691\) 33.6513 + 13.2072i 1.28016 + 0.502425i 0.905345 0.424676i \(-0.139612\pi\)
0.374812 + 0.927101i \(0.377707\pi\)
\(692\) −27.4364 + 34.4042i −1.04298 + 1.30785i
\(693\) 12.5051 5.58854i 0.475028 0.212291i
\(694\) −1.72348 2.16118i −0.0654225 0.0820372i
\(695\) 3.17980 + 10.3087i 0.120617 + 0.391030i
\(696\) 28.6982 95.3040i 1.08780 3.61249i
\(697\) −19.2772 5.94623i −0.730176 0.225229i
\(698\) 55.0609 + 26.5159i 2.08408 + 1.00364i
\(699\) 33.1669 22.9404i 1.25449 0.867686i
\(700\) −45.7081 5.36073i −1.72760 0.202616i
\(701\) −22.2248 5.07266i −0.839418 0.191592i −0.218864 0.975755i \(-0.570235\pi\)
−0.620554 + 0.784164i \(0.713092\pi\)
\(702\) −45.9526 2.51440i −1.73437 0.0948999i
\(703\) −6.95315 + 0.521066i −0.262243 + 0.0196524i
\(704\) 5.18592i 0.195452i
\(705\) 1.55543 10.8115i 0.0585810 0.407186i
\(706\) −33.5472 + 2.51401i −1.26256 + 0.0946161i
\(707\) 4.55949 + 3.96000i 0.171477 + 0.148931i
\(708\) 17.4229 + 55.1663i 0.654794 + 2.07328i
\(709\) −27.6096 18.8239i −1.03690 0.706946i −0.0798309 0.996808i \(-0.525438\pi\)
−0.957068 + 0.289863i \(0.906390\pi\)
\(710\) 19.5786 6.03920i 0.734772 0.226647i
\(711\) −20.4174 34.2924i −0.765713 1.28607i
\(712\) −95.2458 7.13769i −3.56949 0.267496i
\(713\) 1.51972 20.2793i 0.0569141 0.759466i
\(714\) 33.6079 + 21.0160i 1.25775 + 0.786503i
\(715\) −0.494672 6.60094i −0.0184997 0.246861i
\(716\) 90.8419i 3.39492i
\(717\) −26.2156 3.77157i −0.979038 0.140852i
\(718\) −28.3533 13.6542i −1.05813 0.509571i
\(719\) −11.2075 28.5563i −0.417970 1.06497i −0.972520 0.232819i \(-0.925205\pi\)
0.554550 0.832150i \(-0.312890\pi\)
\(720\) −14.0065 23.5248i −0.521990 0.876718i
\(721\) 7.36303 8.47769i 0.274213 0.315726i
\(722\) −9.58517 + 31.0744i −0.356723 + 1.15647i
\(723\) 44.7013 21.8979i 1.66246 0.814391i
\(724\) 27.8937 90.4290i 1.03666 3.36077i
\(725\) −29.6590 + 11.6403i −1.10151 + 0.432310i
\(726\) −12.8478 + 33.3931i −0.476828 + 1.23933i
\(727\) 5.45896 + 36.2178i 0.202461 + 1.34324i 0.826979 + 0.562233i \(0.190058\pi\)
−0.624517 + 0.781011i \(0.714704\pi\)
\(728\) −61.6153 + 2.02487i −2.28362 + 0.0750467i
\(729\) −26.9781 + 1.08711i −0.999189 + 0.0402632i
\(730\) 33.3115 5.02090i 1.23291 0.185832i
\(731\) 2.06866 0.996213i 0.0765121 0.0368463i
\(732\) −24.5796 + 0.164989i −0.908487 + 0.00609817i
\(733\) 39.0006 8.90163i 1.44052 0.328789i 0.570293 0.821442i \(-0.306830\pi\)
0.870226 + 0.492653i \(0.163973\pi\)
\(734\) 15.3054 + 26.5098i 0.564934 + 0.978495i
\(735\) 6.78878 11.6940i 0.250408 0.431340i
\(736\) −7.35455 + 12.7385i −0.271092 + 0.469546i
\(737\) −4.37713 + 14.1903i −0.161234 + 0.522706i
\(738\) 42.9563 17.5282i 1.58124 0.645221i
\(739\) 25.6211 + 17.4682i 0.942487 + 0.642577i 0.933956 0.357387i \(-0.116332\pi\)
0.00853052 + 0.999964i \(0.497285\pi\)
\(740\) 5.21209 13.2802i 0.191600 0.488190i
\(741\) 14.6376 3.44446i 0.537724 0.126535i
\(742\) −73.9217 + 25.4895i −2.71375 + 0.935750i
\(743\) −24.1408 9.47458i −0.885642 0.347589i −0.121465 0.992596i \(-0.538759\pi\)
−0.764177 + 0.645007i \(0.776854\pi\)
\(744\) −18.9987 120.552i −0.696527 4.41965i
\(745\) −9.26427 7.38801i −0.339417 0.270676i
\(746\) 18.0422 + 19.4448i 0.660570 + 0.711925i
\(747\) −2.87020 2.59233i −0.105015 0.0948484i
\(748\) 26.1701 5.97316i 0.956874 0.218400i
\(749\) 1.63171 2.57082i 0.0596215 0.0939358i
\(750\) −15.6398 + 40.6499i −0.571086 + 1.48432i
\(751\) 9.51349 11.9295i 0.347152 0.435315i −0.577347 0.816499i \(-0.695912\pi\)
0.924499 + 0.381184i \(0.124483\pi\)
\(752\) −38.2319 + 26.0661i −1.39417 + 0.950532i
\(753\) 34.2870 + 26.9685i 1.24949 + 0.982786i
\(754\) −65.0615 + 37.5632i −2.36940 + 1.36797i
\(755\) −4.72662 2.27622i −0.172019 0.0828401i
\(756\) −63.1446 + 8.11335i −2.29655 + 0.295080i
\(757\) −17.9468 + 8.64274i −0.652289 + 0.314126i −0.730603 0.682803i \(-0.760761\pi\)
0.0783135 + 0.996929i \(0.475046\pi\)
\(758\) −31.9524 + 46.8655i −1.16056 + 1.70223i
\(759\) −4.54463 + 3.67439i −0.164959 + 0.133372i
\(760\) 13.9801 + 12.9716i 0.507111 + 0.470530i
\(761\) −38.9368 + 18.7510i −1.41146 + 0.679723i −0.975450 0.220219i \(-0.929323\pi\)
−0.436009 + 0.899942i \(0.643608\pi\)
\(762\) 72.1478 22.7861i 2.61364 0.825454i
\(763\) −24.4532 + 32.8194i −0.885264 + 1.18814i
\(764\) 3.17436 6.59163i 0.114844 0.238477i
\(765\) 8.13511 7.75409i 0.294125 0.280350i
\(766\) 23.6638 13.6623i 0.855007 0.493639i
\(767\) 10.7638 22.3512i 0.388656 0.807054i
\(768\) 12.3985 41.1741i 0.447392 1.48574i
\(769\) 10.0981 + 32.7371i 0.364146 + 1.18053i 0.933542 + 0.358468i \(0.116701\pi\)
−0.569396 + 0.822063i \(0.692823\pi\)
\(770\) −3.33595 12.6804i −0.120219 0.456969i
\(771\) 14.6159 30.8788i 0.526380 1.11207i
\(772\) −4.37706 58.4078i −0.157534 2.10214i