Properties

Label 441.2.bd.a.122.4
Level $441$
Weight $2$
Character 441.122
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 122.4
Character \(\chi\) \(=\) 441.122
Dual form 441.2.bd.a.47.4

$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{37}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.75148 + 1.88764i −1.23848 + 1.33476i −0.315981 + 0.948766i \(0.602333\pi\)
−0.922499 + 0.385998i \(0.873857\pi\)
\(3\) 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 −0.912615 0.408819i \(-0.865941\pi\)
0.601645 + 0.798763i \(0.294512\pi\)
\(6\) 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 0.468490 0.883469i \(-0.344798\pi\)
0.0387717 + 0.999248i \(0.487655\pi\)
\(12\) −8.00229 + 0.545699i −2.31006 + 0.157530i
\(13\) 2.33944 2.52131i 0.648843 0.699287i −0.319872 0.947461i \(-0.603640\pi\)
0.968715 + 0.248174i \(0.0798305\pi\)
\(14\) 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 0.880280 + 0.474455i \(0.157355\pi\)
−0.941162 + 0.337956i \(0.890264\pi\)
\(18\) 5.32997 5.59188i 1.25629 1.31802i
\(19\) −2.18600 + 1.26209i −0.501502 + 0.289542i −0.729334 0.684158i \(-0.760170\pi\)
0.227831 + 0.973701i \(0.426836\pi\)
\(20\) 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 −0.793602 0.608437i \(-0.791797\pi\)
0.970498 + 0.241108i \(0.0775109\pi\)
\(24\) 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 0.0655009 + 0.997853i \(0.479135\pi\)
−0.952805 + 0.303583i \(0.901817\pi\)
\(30\) −4.92347 + 0.708328i −0.898898 + 0.129322i
\(31\) −9.00720 + 5.20031i −1.61774 + 0.934004i −0.630239 + 0.776401i \(0.717043\pi\)
−0.987503 + 0.157602i \(0.949624\pi\)
\(32\) 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 0.736215 0.676748i \(-0.236611\pi\)
−0.360997 + 0.932567i \(0.617564\pi\)
\(38\) 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 0.993495 + 0.113873i \(0.0363258\pi\)
−0.650830 + 0.759224i \(0.725579\pi\)
\(42\) −6.98672 9.50967i −1.07807 1.46737i
\(43\) 0.249725 0.636288i 0.0380826 0.0970330i −0.910567 0.413361i \(-0.864355\pi\)
0.948650 + 0.316328i \(0.102450\pi\)
\(44\) 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 0.921952 0.387305i \(-0.126594\pi\)
−0.317325 + 0.948317i \(0.602784\pi\)
\(48\) 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 −0.952466 0.304646i \(-0.901462\pi\)
0.0643879 0.997925i \(-0.479491\pi\)
\(54\) −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 0.650365 + 0.759622i \(0.274616\pi\)
−0.993425 + 0.114482i \(0.963479\pi\)
\(60\) 5.08858 7.35698i 0.656932 0.949782i
\(61\) 3.05595 + 0.229012i 0.391274 + 0.0293219i 0.268915 0.963164i \(-0.413335\pi\)
0.122359 + 0.992486i \(0.460954\pi\)
\(62\) 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 −0.999553 0.0298873i \(-0.990485\pi\)
0.473893 0.880582i \(-0.342848\pi\)
\(68\) 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 −0.999932 0.0116587i \(-0.996289\pi\)
0.632563 + 0.774509i \(0.282003\pi\)
\(72\) −15.7182 12.8838i −1.85241 1.51837i
\(73\) −3.45760 + 11.2093i −0.404681 + 1.31194i 0.492512 + 0.870306i \(0.336079\pi\)
−0.897193 + 0.441638i \(0.854397\pi\)
\(74\) −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 −0.200220 0.979751i \(-0.564166\pi\)
0.948599 0.316480i \(-0.102501\pi\)
\(80\) 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 −0.626602 0.779340i \(-0.715555\pi\)
0.730334 + 0.683090i \(0.239364\pi\)
\(84\) 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 −0.0957407 + 0.995406i \(0.530522\pi\)
−0.999778 + 0.0210862i \(0.993288\pi\)
\(90\) 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 0.210107 0.977678i \(-0.432619\pi\)
0.951748 + 0.306881i \(0.0992854\pi\)
\(98\) −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 −0.847578 0.530670i \(-0.821940\pi\)
0.705969 + 0.708243i \(0.250512\pi\)
\(102\) −11.0505 + 10.1162i −1.09417 + 1.00165i
\(103\) −3.31815 2.64614i −0.326947 0.260732i 0.446235 0.894916i \(-0.352765\pi\)
−0.773182 + 0.634184i \(0.781336\pi\)
\(104\) 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 0.694079 0.719899i \(-0.255812\pi\)
−0.769755 + 0.638340i \(0.779621\pi\)
\(108\) 24.0267 1.31468i 2.31197 0.126505i
\(109\) 11.3397 + 10.5217i 1.08615 + 1.00780i 0.999934 + 0.0115205i \(0.00366718\pi\)
0.0862135 + 0.996277i \(0.472523\pi\)
\(110\) 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 0.625869 + 0.779928i \(0.284745\pi\)
−0.956466 + 0.291843i \(0.905732\pi\)
\(114\) −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 0.392434 0.919780i \(-0.371633\pi\)
0.963792 + 0.266657i \(0.0859189\pi\)
\(128\) 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 −0.742523 0.669821i \(-0.766371\pi\)
−0.487800 0.872955i \(-0.662201\pi\)
\(132\) −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 −0.547275 0.836953i \(-0.684335\pi\)
0.694189 + 0.719793i \(0.255763\pi\)
\(138\) 8.13914 3.13149i 0.692850 0.266571i
\(139\) −9.00441 + 3.53397i −0.763744 + 0.299747i −0.715056 0.699067i \(-0.753599\pi\)
−0.0486873 + 0.998814i \(0.515504\pi\)
\(140\) −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 0.624642 0.780911i \(-0.285245\pi\)
0.223959 + 0.974599i \(0.428102\pi\)
\(150\) −8.47374 + 14.4520i −0.691878 + 1.18000i
\(151\) 4.23815 + 2.04099i 0.344896 + 0.166093i 0.598310 0.801265i \(-0.295839\pi\)
−0.253414 + 0.967358i \(0.581553\pi\)
\(152\) −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 0.0451549 0.998980i \(-0.485622\pi\)
−0.646378 + 0.763017i \(0.723717\pi\)
\(158\) 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 −0.900913 0.433999i \(-0.857102\pi\)
0.955611 + 0.294633i \(0.0951973\pi\)
\(164\) 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 −0.984171 0.177221i \(-0.943289\pi\)
0.999592 0.0285584i \(-0.00909165\pi\)
\(168\) −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 −0.226821 0.973937i \(-0.572833\pi\)
0.823745 + 0.566960i \(0.191881\pi\)
\(174\) −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 −0.680234 0.732995i \(-0.738122\pi\)
−0.781884 + 0.623424i \(0.785741\pi\)
\(180\) −12.6832 8.89901i −0.945351 0.663293i
\(181\) −19.9230 + 4.54730i −1.48087 + 0.337998i −0.885191 0.465227i \(-0.845973\pi\)
−0.595675 + 0.803225i \(0.703115\pi\)
\(182\) 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 −0.417950 0.908470i \(-0.637251\pi\)
0.311537 + 0.950234i \(0.399156\pi\)
\(192\) 5.08228 1.12416i 0.366782 0.0811292i
\(193\) −12.5068 1.88510i −0.900263 0.135693i −0.317427 0.948283i \(-0.602819\pi\)
−0.582836 + 0.812590i \(0.698057\pi\)
\(194\) −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 \(-0.956816\pi\)
0.990811 0.135250i \(-0.0431839\pi\)
\(198\) 11.1144 7.36106i 0.789865 0.523128i
\(199\) 3.82382 1.50074i 0.271063 0.106385i −0.225916 0.974147i \(-0.572538\pi\)
0.496980 + 0.867762i \(0.334442\pi\)
\(200\) −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 0.998382 0.0568577i \(-0.0181081\pi\)
0.792873 + 0.609387i \(0.208584\pi\)
\(212\) −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 −0.416041 0.909346i \(-0.636583\pi\)
−0.275863 + 0.961197i \(0.588964\pi\)
\(224\) −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 −0.633635 0.773632i \(-0.718438\pi\)
0.613239 + 0.789898i \(0.289866\pi\)
\(230\) −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 0.104785 + 0.994495i \(0.466584\pi\)
−0.964032 + 0.265788i \(0.914368\pi\)
\(234\) −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 −0.933147 0.359496i \(-0.882949\pi\)
0.785726 0.618574i \(-0.212289\pi\)
\(240\) −13.6360 7.99528i −0.880202 0.516093i
\(241\) −12.4692 + 25.8926i −0.803213 + 1.66789i −0.0606073 + 0.998162i \(0.519304\pi\)
−0.742606 + 0.669728i \(0.766411\pi\)
\(242\) 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 0.970004 + 0.243087i \(0.0781601\pi\)
0.0211461 + 0.999776i \(0.493268\pi\)
\(252\) 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 −0.896326 0.443396i \(-0.853774\pi\)
−0.212189 + 0.977229i \(0.568059\pi\)
\(258\) 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 \(0.120824\pi\)
−0.928820 + 0.370530i \(0.879176\pi\)
\(264\) 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 0.319522 0.947579i \(-0.396478\pi\)
−0.269789 + 0.962920i \(0.586954\pi\)
\(270\) 14.7976 1.92651i 0.900553 0.117244i
\(271\) −7.48802 + 0.561149i −0.454865 + 0.0340874i −0.300193 0.953878i \(-0.597051\pi\)
−0.154672 + 0.987966i \(0.549432\pi\)
\(272\) −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 0.832556 0.553941i \(-0.186877\pi\)
0.952178 0.305542i \(-0.0988378\pi\)
\(278\) 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 −0.719576 0.694414i \(-0.755664\pi\)
0.203364 0.979103i \(-0.434813\pi\)
\(282\) 1.71585 + 25.1617i 0.102177 + 1.49836i
\(283\) −2.25201 7.30082i −0.133868 0.433989i 0.863675 0.504049i \(-0.168157\pi\)
−0.997543 + 0.0700604i \(0.977681\pi\)
\(284\) 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 −0.880829 0.473435i \(-0.843014\pi\)
0.850421 + 0.526103i \(0.176347\pi\)
\(294\) 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 0.627853 0.778332i \(-0.283934\pi\)
0.227970 + 0.973668i \(0.426791\pi\)
\(308\) −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 0.445920 0.895073i \(-0.352877\pi\)
−0.670287 + 0.742102i \(0.733829\pi\)
\(312\) −5.74711 39.9472i −0.325366 2.26156i
\(313\) −16.8012 9.70019i −0.949661 0.548287i −0.0566856 0.998392i \(-0.518053\pi\)
−0.892976 + 0.450105i \(0.851387\pi\)
\(314\) 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 −0.976919 0.213610i \(-0.931478\pi\)
0.158065 0.987429i \(-0.449474\pi\)
\(318\) 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 0.969452 + 0.245282i \(0.0788805\pi\)
−0.995181 + 0.0980529i \(0.968739\pi\)
\(332\) −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 −0.585449 0.810709i \(-0.699082\pi\)
−0.320479 + 0.947256i \(0.603844\pi\)
\(338\) −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 −0.0459660 0.998943i \(-0.514637\pi\)
0.103432 + 0.994637i \(0.467018\pi\)
\(348\) 34.4127 58.6912i 1.84471 3.14618i
\(349\) −22.0922 8.67055i −1.18257 0.464124i −0.309112 0.951026i \(-0.600032\pi\)
−0.873457 + 0.486901i \(0.838127\pi\)
\(350\) 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 0.949828 0.312773i \(-0.101258\pi\)
−0.516288 + 0.856415i \(0.672687\pi\)
\(354\) −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 0.646028 0.763313i \(-0.276429\pi\)
−0.0456128 + 0.998959i \(0.514524\pi\)
\(360\) 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 −0.514023 0.857777i \(-0.671845\pi\)
−0.0909429 + 0.995856i \(0.528988\pi\)
\(368\) −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 0.678024 + 0.735039i \(0.262836\pi\)
−0.929801 + 0.368064i \(0.880021\pi\)
\(380\) −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 −0.998743 0.0501215i \(-0.984039\pi\)
0.878090 0.478496i \(-0.158818\pi\)
\(384\) 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 0.663708 0.747992i \(-0.268982\pi\)
−0.581549 + 0.813511i \(0.697553\pi\)
\(390\) −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 0.805617 + 0.592437i \(0.201834\pi\)
−0.944450 + 0.328656i \(0.893404\pi\)
\(398\) −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 0.659362 0.751826i \(-0.270827\pi\)
0.920269 + 0.391285i \(0.127969\pi\)
\(402\) 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 −0.652949 0.757402i \(-0.726468\pi\)
0.943595 + 0.331103i \(0.107421\pi\)
\(410\) 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 −0.729225 0.684275i \(-0.760119\pi\)
0.370558 + 0.928810i \(0.379167\pi\)
\(420\) −16.7713 + 16.6989i −0.818357 + 0.814824i
\(421\) 7.43332 + 5.06795i 0.362278 + 0.246997i 0.730755 0.682640i \(-0.239168\pi\)
−0.368477 + 0.929637i \(0.620121\pi\)
\(422\) −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 −0.742194 0.670185i \(-0.766215\pi\)
0.511680 0.859176i \(-0.329024\pi\)
\(432\) −5.48948 42.1649i −0.264113 2.02866i
\(433\) 11.1333 + 8.87853i 0.535033 + 0.426675i 0.853372 0.521302i \(-0.174554\pi\)
−0.318339 + 0.947977i \(0.603125\pi\)
\(434\) −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 −0.425759 0.904837i \(-0.639993\pi\)
0.934123 + 0.356950i \(0.116183\pi\)
\(440\) −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 −0.114481 + 0.993425i \(0.536520\pi\)
−0.982093 + 0.188399i \(0.939670\pi\)
\(444\) −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 0.469449 0.882960i \(-0.344453\pi\)
−0.756360 + 0.654156i \(0.773024\pi\)
\(450\) 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 −0.0219838 0.999758i \(-0.506998\pi\)
0.273677 + 0.961822i \(0.411760\pi\)
\(458\) 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 0.525723 0.850656i \(-0.323795\pi\)
−0.599785 + 0.800162i \(0.704747\pi\)
\(462\) −8.10275 18.6819i −0.376974 0.869160i
\(463\) 8.61418 5.87305i 0.400335 0.272944i −0.346372 0.938097i \(-0.612586\pi\)
0.746707 + 0.665154i \(0.231634\pi\)
\(464\) 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 −0.907200 0.420700i \(-0.861785\pi\)
0.834365 0.551212i \(-0.185835\pi\)
\(468\) 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 0.844800 + 0.535082i \(0.179719\pi\)
−0.993302 + 0.115547i \(0.963138\pi\)
\(480\) 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 0.955339 0.295512i \(-0.0954903\pi\)
−0.901312 + 0.433170i \(0.857395\pi\)
\(488\) 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 0.998464 0.0554037i \(-0.0176446\pi\)
0.451251 + 0.892397i \(0.350978\pi\)
\(492\) −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 −0.999261 0.0384285i \(-0.987765\pi\)
0.883630 0.468186i \(-0.155092\pi\)
\(500\) −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 −0.683066 0.730357i \(-0.739354\pi\)
0.932311 0.361657i \(-0.117789\pi\)
\(504\) 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 −0.985354 0.170523i \(-0.945454\pi\)
0.640354 + 0.768080i \(0.278788\pi\)
\(522\) 13.7223 + 64.0744i 0.600608 + 2.80446i
\(523\) 1.95790 + 0.768421i 0.0856132 + 0.0336007i 0.407761 0.913089i \(-0.366310\pi\)
−0.322148 + 0.946689i \(0.604405\pi\)
\(524\) −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 −0.812991 0.582276i \(-0.802162\pi\)
−0.343717 + 0.939073i \(0.611686\pi\)
\(542\) 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 0.600740 0.799444i \(-0.294873\pi\)
0.338411 + 0.940999i \(0.390111\pi\)
\(548\) −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 0.775607 0.631216i \(-0.217444\pi\)
−0.158846 + 0.987303i \(0.550777\pi\)
\(558\) −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 −0.0163583 0.999866i \(-0.505207\pi\)
0.995848 + 0.0910327i \(0.0290168\pi\)
\(564\) −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 0.200906 0.979610i \(-0.435611\pi\)
−0.747914 + 0.663795i \(0.768945\pi\)
\(570\) 9.86871 7.76224i 0.413355 0.325124i
\(571\) 11.8968 + 8.11111i 0.497866 + 0.339440i 0.786078 0.618127i \(-0.212108\pi\)
−0.288212 + 0.957567i \(0.593061\pi\)
\(572\) −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 −0.747196 0.664604i \(-0.768600\pi\)
0.718584 + 0.695441i \(0.244791\pi\)
\(578\) −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 0.646469 0.762940i \(-0.276245\pi\)
−0.983960 + 0.178388i \(0.942912\pi\)
\(588\) −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 −0.148082 0.988975i \(-0.547310\pi\)
−0.433009 + 0.901390i \(0.642548\pi\)
\(594\) −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 −0.985514 0.169595i \(-0.945754\pi\)
0.718733 0.695286i \(-0.244722\pi\)
\(600\) 39.5809 + 19.3895i 1.61588 + 0.791574i
\(601\) 8.89549 + 28.8385i 0.362855 + 1.17635i 0.934536 + 0.355870i \(0.115815\pi\)
−0.571681 + 0.820476i \(0.693708\pi\)
\(602\) −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 \(0.393281\pi\)
−0.329022 + 0.944322i \(0.606719\pi\)
\(608\) −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 0.936026 0.351930i \(-0.114474\pi\)
0.575132 + 0.818060i \(0.304951\pi\)
\(614\) −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 0.405261 0.914201i \(-0.367181\pi\)
0.264480 + 0.964391i \(0.414800\pi\)
\(618\) −2.69553 18.7361i −0.108430 0.753678i
\(619\) 30.2458i 1.21568i 0.794059 + 0.607841i \(0.207964\pi\)
−0.794059 + 0.607841i \(0.792036\pi\)
\(620\) −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 0.618946 0.785434i \(-0.287560\pi\)
−0.903470 + 0.428652i \(0.858989\pi\)
\(632\) 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 −0.527906 0.849303i \(-0.677023\pi\)
0.993156 0.116798i \(-0.0372631\pi\)
\(642\) 0.0344545 5.13292i 0.00135981 0.202580i
\(643\) 0.851030 + 5.64622i 0.0335614 + 0.222665i 0.999324 0.0367621i \(-0.0117044\pi\)
−0.965763 + 0.259427i \(0.916466\pi\)
\(644\) 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 −0.0327255 0.999464i \(-0.510419\pi\)
0.263326 + 0.964707i \(0.415181\pi\)
\(648\) 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 −0.123648 0.992326i \(-0.539459\pi\)
0.939932 + 0.341361i \(0.110888\pi\)
\(654\) 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 0.0633910 0.997989i \(-0.479808\pi\)
0.211426 + 0.977394i \(0.432189\pi\)
\(660\) 11.3860 10.4234i 0.443201 0.405729i
\(661\) 13.0513 + 14.0659i 0.507636 + 0.547102i 0.933917 0.357489i \(-0.116367\pi\)
−0.426281 + 0.904591i \(0.640177\pi\)
\(662\) −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 0.0953499 0.995444i \(-0.469603\pi\)
0.639535 + 0.768762i \(0.279127\pi\)
\(674\) 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 −0.256428 0.966563i \(-0.582546\pi\)
−0.756355 + 0.654161i \(0.773022\pi\)
\(678\) −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 −0.431651 0.902041i \(-0.642069\pi\)
0.297121 + 0.954840i \(0.403974\pi\)
\(684\) −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 0.374812 0.927101i \(-0.377707\pi\)
0.905345 + 0.424676i \(0.139612\pi\)
\(692\) −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 −0.620554 0.784164i \(-0.713092\pi\)
−0.218864 + 0.975755i \(0.570235\pi\)
\(702\) −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 −0.957068 0.289863i \(-0.906390\pi\)
−0.0798309 + 0.996808i \(0.525438\pi\)
\(710\) 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 0.554550 + 0.832150i \(0.312890\pi\)
−0.972520 + 0.232819i \(0.925205\pi\)
\(720\) −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 −0.624517 0.781011i \(-0.714704\pi\)
0.826979 0.562233i \(-0.190058\pi\)
\(728\) −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 0.870226 0.492653i \(-0.163973\pi\)
0.570293 + 0.821442i \(0.306830\pi\)
\(734\) 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 0.00853052 0.999964i \(-0.497285\pi\)
0.933956 + 0.357387i \(0.116332\pi\)
\(740\) 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 −0.764177 0.645007i \(-0.776854\pi\)
−0.121465 + 0.992596i \(0.538759\pi\)
\(744\) −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 0.924499 0.381184i \(-0.124483\pi\)
−0.577347 + 0.816499i \(0.695912\pi\)
\(752\) −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 0.0783135 0.996929i \(-0.475046\pi\)
−0.730603 + 0.682803i \(0.760761\pi\)
\(758\) −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 −0.436009 0.899942i \(-0.643608\pi\)
−0.975450 + 0.220219i \(0.929323\pi\)
\(762\) 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 −0.569396 0.822063i \(-0.692823\pi\)
0.933542 0.358468i \(-0.116701\pi\)
\(770\) −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
\(773\) 37.3304 + 34.6376i