Properties

Label 273.2.by.d.97.2
Level $273$
Weight $2$
Character 273.97
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.2
Character \(\chi\) \(=\) 273.97
Dual form 273.2.by.d.76.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500642 - 1.86842i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-1.50830 + 0.870817i) q^{4} +(2.44068 + 2.44068i) q^{5} +(-0.500642 + 1.86842i) q^{6} +(2.02526 + 1.70244i) q^{7} +(-0.353388 - 0.353388i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.500642 - 1.86842i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-1.50830 + 0.870817i) q^{4} +(2.44068 + 2.44068i) q^{5} +(-0.500642 + 1.86842i) q^{6} +(2.02526 + 1.70244i) q^{7} +(-0.353388 - 0.353388i) q^{8} +(0.500000 + 0.866025i) q^{9} +(3.33831 - 5.78213i) q^{10} +(2.85290 - 0.764433i) q^{11} +1.74163 q^{12} +(3.60488 - 0.0697642i) q^{13} +(2.16695 - 4.63635i) q^{14} +(-0.893352 - 3.33403i) q^{15} +(-2.22499 + 3.85380i) q^{16} +(-0.667729 - 1.15654i) q^{17} +(1.36778 - 1.36778i) q^{18} +(-1.32547 + 4.94673i) q^{19} +(-5.80667 - 1.55589i) q^{20} +(-0.902706 - 2.48699i) q^{21} +(-2.85656 - 4.94771i) q^{22} +(-7.61450 - 4.39623i) q^{23} +(0.129349 + 0.482736i) q^{24} +6.91386i q^{25} +(-1.93510 - 6.70049i) q^{26} -1.00000i q^{27} +(-4.53722 - 0.804162i) q^{28} +(3.97913 - 6.89205i) q^{29} +(-5.78213 + 3.33831i) q^{30} +(-2.04259 - 2.04259i) q^{31} +(7.34896 + 1.96915i) q^{32} +(-2.85290 - 0.764433i) q^{33} +(-1.82661 + 1.82661i) q^{34} +(0.787896 + 9.09815i) q^{35} +(-1.50830 - 0.870817i) q^{36} +(4.73577 - 1.26895i) q^{37} +9.90616 q^{38} +(-3.15680 - 1.74202i) q^{39} -1.72501i q^{40} +(-1.45657 + 0.390287i) q^{41} +(-4.19481 + 2.93172i) q^{42} +(-0.212417 + 0.122639i) q^{43} +(-3.63735 + 3.63735i) q^{44} +(-0.893352 + 3.33403i) q^{45} +(-4.40187 + 16.4280i) q^{46} +(-1.13049 + 1.13049i) q^{47} +(3.85380 - 2.22499i) q^{48} +(1.20337 + 6.89579i) q^{49} +(12.9180 - 3.46137i) q^{50} +1.33546i q^{51} +(-5.37648 + 3.24441i) q^{52} +2.62146 q^{53} +(-1.86842 + 0.500642i) q^{54} +(8.82877 + 5.09729i) q^{55} +(-0.114080 - 1.31732i) q^{56} +(3.62126 - 3.62126i) q^{57} +(-14.8694 - 3.98423i) q^{58} +(3.96915 + 1.06353i) q^{59} +(4.25078 + 4.25078i) q^{60} +(-7.82911 + 4.52014i) q^{61} +(-2.79382 + 4.83903i) q^{62} +(-0.461729 + 2.60515i) q^{63} -5.81681i q^{64} +(8.96863 + 8.62809i) q^{65} +5.71313i q^{66} +(-2.97553 - 11.1048i) q^{67} +(2.01427 + 1.16294i) q^{68} +(4.39623 + 7.61450i) q^{69} +(16.6047 - 6.02703i) q^{70} +(-11.0479 - 2.96028i) q^{71} +(0.129349 - 0.482736i) q^{72} +(1.06136 - 1.06136i) q^{73} +(-4.74184 - 8.21311i) q^{74} +(3.45693 - 5.98758i) q^{75} +(-2.30849 - 8.61540i) q^{76} +(7.07928 + 3.30873i) q^{77} +(-1.67440 + 6.77035i) q^{78} +7.65266 q^{79} +(-14.8364 + 3.97540i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(1.45844 + 2.52609i) q^{82} +(-10.1314 - 10.1314i) q^{83} +(3.52726 + 2.96503i) q^{84} +(1.19303 - 4.45246i) q^{85} +(0.335486 + 0.335486i) q^{86} +(-6.89205 + 3.97913i) q^{87} +(-1.27832 - 0.738039i) q^{88} +(4.11486 + 15.3569i) q^{89} +6.67662 q^{90} +(7.41959 + 5.99581i) q^{91} +15.3133 q^{92} +(0.747641 + 2.79024i) q^{93} +(2.67819 + 1.54626i) q^{94} +(-15.3085 + 8.83835i) q^{95} +(-5.37981 - 5.37981i) q^{96} +(3.28484 - 12.2592i) q^{97} +(12.2818 - 5.70072i) q^{98} +(2.08847 + 2.08847i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500642 1.86842i −0.354007 1.32117i −0.881729 0.471755i \(-0.843621\pi\)
0.527722 0.849417i \(-0.323046\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −1.50830 + 0.870817i −0.754150 + 0.435408i
\(5\) 2.44068 + 2.44068i 1.09151 + 1.09151i 0.995368 + 0.0961385i \(0.0306492\pi\)
0.0961385 + 0.995368i \(0.469351\pi\)
\(6\) −0.500642 + 1.86842i −0.204386 + 0.762779i
\(7\) 2.02526 + 1.70244i 0.765477 + 0.643463i
\(8\) −0.353388 0.353388i −0.124941 0.124941i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 3.33831 5.78213i 1.05567 1.82847i
\(11\) 2.85290 0.764433i 0.860183 0.230485i 0.198345 0.980132i \(-0.436443\pi\)
0.661838 + 0.749647i \(0.269777\pi\)
\(12\) 1.74163 0.502766
\(13\) 3.60488 0.0697642i 0.999813 0.0193491i
\(14\) 2.16695 4.63635i 0.579142 1.23912i
\(15\) −0.893352 3.33403i −0.230662 0.860844i
\(16\) −2.22499 + 3.85380i −0.556247 + 0.963449i
\(17\) −0.667729 1.15654i −0.161948 0.280502i 0.773619 0.633651i \(-0.218444\pi\)
−0.935567 + 0.353149i \(0.885111\pi\)
\(18\) 1.36778 1.36778i 0.322388 0.322388i
\(19\) −1.32547 + 4.94673i −0.304084 + 1.13486i 0.629646 + 0.776882i \(0.283200\pi\)
−0.933731 + 0.357977i \(0.883467\pi\)
\(20\) −5.80667 1.55589i −1.29841 0.347908i
\(21\) −0.902706 2.48699i −0.196987 0.542706i
\(22\) −2.85656 4.94771i −0.609022 1.05486i
\(23\) −7.61450 4.39623i −1.58773 0.916678i −0.993680 0.112253i \(-0.964193\pi\)
−0.594053 0.804426i \(-0.702473\pi\)
\(24\) 0.129349 + 0.482736i 0.0264032 + 0.0985381i
\(25\) 6.91386i 1.38277i
\(26\) −1.93510 6.70049i −0.379504 1.31408i
\(27\) 1.00000i 0.192450i
\(28\) −4.53722 0.804162i −0.857454 0.151972i
\(29\) 3.97913 6.89205i 0.738905 1.27982i −0.214084 0.976815i \(-0.568677\pi\)
0.952989 0.303006i \(-0.0979901\pi\)
\(30\) −5.78213 + 3.33831i −1.05567 + 0.609490i
\(31\) −2.04259 2.04259i −0.366861 0.366861i 0.499470 0.866331i \(-0.333528\pi\)
−0.866331 + 0.499470i \(0.833528\pi\)
\(32\) 7.34896 + 1.96915i 1.29912 + 0.348099i
\(33\) −2.85290 0.764433i −0.496627 0.133071i
\(34\) −1.82661 + 1.82661i −0.313261 + 0.313261i
\(35\) 0.787896 + 9.09815i 0.133179 + 1.53787i
\(36\) −1.50830 0.870817i −0.251383 0.145136i
\(37\) 4.73577 1.26895i 0.778555 0.208613i 0.152408 0.988318i \(-0.451297\pi\)
0.626148 + 0.779704i \(0.284631\pi\)
\(38\) 9.90616 1.60699
\(39\) −3.15680 1.74202i −0.505492 0.278947i
\(40\) 1.72501i 0.272749i
\(41\) −1.45657 + 0.390287i −0.227478 + 0.0609527i −0.370758 0.928730i \(-0.620902\pi\)
0.143279 + 0.989682i \(0.454235\pi\)
\(42\) −4.19481 + 2.93172i −0.647273 + 0.452375i
\(43\) −0.212417 + 0.122639i −0.0323933 + 0.0187023i −0.516109 0.856523i \(-0.672620\pi\)
0.483716 + 0.875225i \(0.339287\pi\)
\(44\) −3.63735 + 3.63735i −0.548351 + 0.548351i
\(45\) −0.893352 + 3.33403i −0.133173 + 0.497009i
\(46\) −4.40187 + 16.4280i −0.649021 + 2.42218i
\(47\) −1.13049 + 1.13049i −0.164899 + 0.164899i −0.784733 0.619834i \(-0.787200\pi\)
0.619834 + 0.784733i \(0.287200\pi\)
\(48\) 3.85380 2.22499i 0.556247 0.321150i
\(49\) 1.20337 + 6.89579i 0.171910 + 0.985113i
\(50\) 12.9180 3.46137i 1.82688 0.489511i
\(51\) 1.33546i 0.187001i
\(52\) −5.37648 + 3.24441i −0.745584 + 0.449919i
\(53\) 2.62146 0.360085 0.180043 0.983659i \(-0.442376\pi\)
0.180043 + 0.983659i \(0.442376\pi\)
\(54\) −1.86842 + 0.500642i −0.254260 + 0.0681287i
\(55\) 8.82877 + 5.09729i 1.19047 + 0.687319i
\(56\) −0.114080 1.31732i −0.0152446 0.176035i
\(57\) 3.62126 3.62126i 0.479648 0.479648i
\(58\) −14.8694 3.98423i −1.95244 0.523155i
\(59\) 3.96915 + 1.06353i 0.516739 + 0.138460i 0.507758 0.861500i \(-0.330474\pi\)
0.00898130 + 0.999960i \(0.497141\pi\)
\(60\) 4.25078 + 4.25078i 0.548773 + 0.548773i
\(61\) −7.82911 + 4.52014i −1.00241 + 0.578744i −0.908962 0.416879i \(-0.863124\pi\)
−0.0934527 + 0.995624i \(0.529790\pi\)
\(62\) −2.79382 + 4.83903i −0.354815 + 0.614558i
\(63\) −0.461729 + 2.60515i −0.0581723 + 0.328218i
\(64\) 5.81681i 0.727101i
\(65\) 8.96863 + 8.62809i 1.11242 + 1.07018i
\(66\) 5.71313i 0.703238i
\(67\) −2.97553 11.1048i −0.363519 1.35667i −0.869417 0.494079i \(-0.835505\pi\)
0.505898 0.862593i \(-0.331161\pi\)
\(68\) 2.01427 + 1.16294i 0.244266 + 0.141027i
\(69\) 4.39623 + 7.61450i 0.529244 + 0.916678i
\(70\) 16.6047 6.02703i 1.98464 0.720368i
\(71\) −11.0479 2.96028i −1.31115 0.351320i −0.465492 0.885052i \(-0.654123\pi\)
−0.845654 + 0.533732i \(0.820789\pi\)
\(72\) 0.129349 0.482736i 0.0152439 0.0568910i
\(73\) 1.06136 1.06136i 0.124222 0.124222i −0.642262 0.766485i \(-0.722004\pi\)
0.766485 + 0.642262i \(0.222004\pi\)
\(74\) −4.74184 8.21311i −0.551228 0.954755i
\(75\) 3.45693 5.98758i 0.399172 0.691386i
\(76\) −2.30849 8.61540i −0.264802 0.988254i
\(77\) 7.07928 + 3.30873i 0.806759 + 0.377065i
\(78\) −1.67440 + 6.77035i −0.189589 + 0.766591i
\(79\) 7.65266 0.860992 0.430496 0.902593i \(-0.358339\pi\)
0.430496 + 0.902593i \(0.358339\pi\)
\(80\) −14.8364 + 3.97540i −1.65876 + 0.444463i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 1.45844 + 2.52609i 0.161058 + 0.278960i
\(83\) −10.1314 10.1314i −1.11207 1.11207i −0.992871 0.119194i \(-0.961969\pi\)
−0.119194 0.992871i \(-0.538031\pi\)
\(84\) 3.52726 + 2.96503i 0.384856 + 0.323512i
\(85\) 1.19303 4.45246i 0.129403 0.482937i
\(86\) 0.335486 + 0.335486i 0.0361763 + 0.0361763i
\(87\) −6.89205 + 3.97913i −0.738905 + 0.426607i
\(88\) −1.27832 0.738039i −0.136270 0.0786753i
\(89\) 4.11486 + 15.3569i 0.436174 + 1.62782i 0.738241 + 0.674537i \(0.235657\pi\)
−0.302067 + 0.953287i \(0.597677\pi\)
\(90\) 6.67662 0.703778
\(91\) 7.41959 + 5.99581i 0.777784 + 0.628531i
\(92\) 15.3133 1.59652
\(93\) 0.747641 + 2.79024i 0.0775268 + 0.289334i
\(94\) 2.67819 + 1.54626i 0.276235 + 0.159484i
\(95\) −15.3085 + 8.83835i −1.57062 + 0.906795i
\(96\) −5.37981 5.37981i −0.549074 0.549074i
\(97\) 3.28484 12.2592i 0.333525 1.24473i −0.571934 0.820300i \(-0.693807\pi\)
0.905459 0.424433i \(-0.139527\pi\)
\(98\) 12.2818 5.70072i 1.24065 0.575860i
\(99\) 2.08847 + 2.08847i 0.209899 + 0.209899i
\(100\) −6.02071 10.4282i −0.602071 1.04282i
\(101\) −4.49790 + 7.79059i −0.447558 + 0.775192i −0.998226 0.0595314i \(-0.981039\pi\)
0.550669 + 0.834724i \(0.314373\pi\)
\(102\) 2.49519 0.668585i 0.247061 0.0661998i
\(103\) −6.31734 −0.622466 −0.311233 0.950334i \(-0.600742\pi\)
−0.311233 + 0.950334i \(0.600742\pi\)
\(104\) −1.29857 1.24926i −0.127335 0.122500i
\(105\) 3.86673 8.27317i 0.377355 0.807379i
\(106\) −1.31241 4.89799i −0.127473 0.475735i
\(107\) −9.52494 + 16.4977i −0.920810 + 1.59489i −0.122646 + 0.992450i \(0.539138\pi\)
−0.798164 + 0.602440i \(0.794195\pi\)
\(108\) 0.870817 + 1.50830i 0.0837944 + 0.145136i
\(109\) −9.27465 + 9.27465i −0.888351 + 0.888351i −0.994365 0.106014i \(-0.966191\pi\)
0.106014 + 0.994365i \(0.466191\pi\)
\(110\) 5.10383 19.0478i 0.486631 1.81613i
\(111\) −4.73577 1.26895i −0.449499 0.120443i
\(112\) −11.0671 + 4.01702i −1.04574 + 0.379573i
\(113\) −3.53376 6.12066i −0.332429 0.575783i 0.650559 0.759456i \(-0.274535\pi\)
−0.982987 + 0.183673i \(0.941201\pi\)
\(114\) −8.57899 4.95308i −0.803496 0.463899i
\(115\) −7.85477 29.3144i −0.732461 2.73358i
\(116\) 13.8604i 1.28690i
\(117\) 1.86286 + 3.08703i 0.172221 + 0.285396i
\(118\) 7.94848i 0.731717i
\(119\) 0.616619 3.47907i 0.0565254 0.318925i
\(120\) −0.862507 + 1.49391i −0.0787357 + 0.136374i
\(121\) −1.97158 + 1.13829i −0.179234 + 0.103481i
\(122\) 12.3651 + 12.3651i 1.11948 + 1.11948i
\(123\) 1.45657 + 0.390287i 0.131335 + 0.0351910i
\(124\) 4.85957 + 1.30212i 0.436402 + 0.116934i
\(125\) −4.67113 + 4.67113i −0.417799 + 0.417799i
\(126\) 5.09867 0.441543i 0.454226 0.0393358i
\(127\) 12.2515 + 7.07343i 1.08715 + 0.627665i 0.932816 0.360354i \(-0.117344\pi\)
0.154332 + 0.988019i \(0.450677\pi\)
\(128\) 3.82967 1.02616i 0.338498 0.0907002i
\(129\) 0.245278 0.0215955
\(130\) 11.6308 21.0767i 1.02009 1.84855i
\(131\) 9.97987i 0.871945i −0.899960 0.435973i \(-0.856404\pi\)
0.899960 0.435973i \(-0.143596\pi\)
\(132\) 4.96871 1.33136i 0.432471 0.115880i
\(133\) −11.1060 + 7.76189i −0.963009 + 0.673041i
\(134\) −19.2588 + 11.1191i −1.66371 + 0.960543i
\(135\) 2.44068 2.44068i 0.210061 0.210061i
\(136\) −0.172740 + 0.644674i −0.0148123 + 0.0552803i
\(137\) −0.141310 + 0.527376i −0.0120729 + 0.0450567i −0.971700 0.236220i \(-0.924091\pi\)
0.959627 + 0.281277i \(0.0907580\pi\)
\(138\) 12.0261 12.0261i 1.02373 1.02373i
\(139\) −2.89550 + 1.67172i −0.245593 + 0.141793i −0.617745 0.786379i \(-0.711953\pi\)
0.372152 + 0.928172i \(0.378620\pi\)
\(140\) −9.11120 13.0366i −0.770037 1.10179i
\(141\) 1.54427 0.413787i 0.130051 0.0348472i
\(142\) 22.1242i 1.85662i
\(143\) 10.2310 2.95472i 0.855562 0.247086i
\(144\) −4.44998 −0.370832
\(145\) 26.5331 7.10952i 2.20345 0.590413i
\(146\) −2.51442 1.45170i −0.208095 0.120144i
\(147\) 2.40574 6.57361i 0.198422 0.542182i
\(148\) −6.03794 + 6.03794i −0.496315 + 0.496315i
\(149\) −8.56339 2.29455i −0.701540 0.187977i −0.109620 0.993974i \(-0.534963\pi\)
−0.591920 + 0.805996i \(0.701630\pi\)
\(150\) −12.9180 3.46137i −1.05475 0.282619i
\(151\) −10.4345 10.4345i −0.849144 0.849144i 0.140882 0.990026i \(-0.455006\pi\)
−0.990026 + 0.140882i \(0.955006\pi\)
\(152\) 2.21652 1.27971i 0.179784 0.103798i
\(153\) 0.667729 1.15654i 0.0539827 0.0935007i
\(154\) 2.63792 14.8836i 0.212569 1.19935i
\(155\) 9.97065i 0.800862i
\(156\) 6.27837 0.121504i 0.502672 0.00972808i
\(157\) 1.05925i 0.0845376i 0.999106 + 0.0422688i \(0.0134586\pi\)
−0.999106 + 0.0422688i \(0.986541\pi\)
\(158\) −3.83124 14.2984i −0.304797 1.13752i
\(159\) −2.27025 1.31073i −0.180043 0.103948i
\(160\) 13.1304 + 22.7425i 1.03805 + 1.79795i
\(161\) −7.93702 21.8668i −0.625525 1.72334i
\(162\) 1.86842 + 0.500642i 0.146797 + 0.0393341i
\(163\) 2.76615 10.3234i 0.216661 0.808591i −0.768914 0.639353i \(-0.779202\pi\)
0.985575 0.169239i \(-0.0541309\pi\)
\(164\) 1.85708 1.85708i 0.145013 0.145013i
\(165\) −5.09729 8.82877i −0.396824 0.687319i
\(166\) −13.8575 + 24.0019i −1.07555 + 1.86291i
\(167\) −0.203527 0.759573i −0.0157494 0.0587775i 0.957604 0.288088i \(-0.0930196\pi\)
−0.973353 + 0.229310i \(0.926353\pi\)
\(168\) −0.559866 + 1.19788i −0.0431946 + 0.0924182i
\(169\) 12.9903 0.502983i 0.999251 0.0386910i
\(170\) −8.91635 −0.683853
\(171\) −4.94673 + 1.32547i −0.378286 + 0.101361i
\(172\) 0.213592 0.369952i 0.0162862 0.0282086i
\(173\) 2.78559 + 4.82478i 0.211784 + 0.366821i 0.952273 0.305248i \(-0.0987392\pi\)
−0.740489 + 0.672069i \(0.765406\pi\)
\(174\) 10.8851 + 10.8851i 0.825199 + 0.825199i
\(175\) −11.7705 + 14.0024i −0.889763 + 1.05848i
\(176\) −3.40171 + 12.6954i −0.256414 + 0.956949i
\(177\) −2.90562 2.90562i −0.218400 0.218400i
\(178\) 26.6330 15.3766i 1.99623 1.15252i
\(179\) −3.04329 1.75705i −0.227466 0.131328i 0.381936 0.924189i \(-0.375257\pi\)
−0.609403 + 0.792861i \(0.708591\pi\)
\(180\) −1.55589 5.80667i −0.115969 0.432803i
\(181\) −23.3185 −1.73325 −0.866624 0.498961i \(-0.833715\pi\)
−0.866624 + 0.498961i \(0.833715\pi\)
\(182\) 7.48813 16.8647i 0.555057 1.25009i
\(183\) 9.04027 0.668276
\(184\) 1.13730 + 4.24444i 0.0838425 + 0.312905i
\(185\) 14.6556 + 8.46141i 1.07750 + 0.622096i
\(186\) 4.83903 2.79382i 0.354815 0.204853i
\(187\) −2.78906 2.78906i −0.203956 0.203956i
\(188\) 0.720666 2.68956i 0.0525599 0.196156i
\(189\) 1.70244 2.02526i 0.123835 0.147316i
\(190\) 24.1778 + 24.1778i 1.75404 + 1.75404i
\(191\) 6.95240 + 12.0419i 0.503058 + 0.871322i 0.999994 + 0.00353445i \(0.00112505\pi\)
−0.496936 + 0.867787i \(0.665542\pi\)
\(192\) −2.90841 + 5.03751i −0.209896 + 0.363551i
\(193\) 2.80644 0.751984i 0.202012 0.0541290i −0.156394 0.987695i \(-0.549987\pi\)
0.358406 + 0.933566i \(0.383320\pi\)
\(194\) −24.5499 −1.76258
\(195\) −3.45302 11.9565i −0.247276 0.856220i
\(196\) −7.82001 9.35300i −0.558572 0.668071i
\(197\) 0.210804 + 0.786731i 0.0150192 + 0.0560523i 0.973029 0.230684i \(-0.0740963\pi\)
−0.958010 + 0.286736i \(0.907430\pi\)
\(198\) 2.85656 4.94771i 0.203007 0.351619i
\(199\) 0.861092 + 1.49145i 0.0610412 + 0.105726i 0.894931 0.446204i \(-0.147225\pi\)
−0.833890 + 0.551931i \(0.813891\pi\)
\(200\) 2.44327 2.44327i 0.172766 0.172766i
\(201\) −2.97553 + 11.1048i −0.209878 + 0.783275i
\(202\) 16.8079 + 4.50367i 1.18260 + 0.316877i
\(203\) 19.7921 7.18396i 1.38913 0.504215i
\(204\) −1.16294 2.01427i −0.0814220 0.141027i
\(205\) −4.50760 2.60246i −0.314824 0.181764i
\(206\) 3.16272 + 11.8034i 0.220357 + 0.822385i
\(207\) 8.79247i 0.611119i
\(208\) −7.75196 + 14.0477i −0.537501 + 0.974031i
\(209\) 15.1258i 1.04627i
\(210\) −17.3936 3.08279i −1.20027 0.212733i
\(211\) −1.84269 + 3.19163i −0.126856 + 0.219721i −0.922457 0.386100i \(-0.873822\pi\)
0.795601 + 0.605821i \(0.207155\pi\)
\(212\) −3.95395 + 2.28281i −0.271558 + 0.156784i
\(213\) 8.08763 + 8.08763i 0.554155 + 0.554155i
\(214\) 35.5932 + 9.53716i 2.43310 + 0.651947i
\(215\) −0.817765 0.219119i −0.0557711 0.0149438i
\(216\) −0.353388 + 0.353388i −0.0240450 + 0.0240450i
\(217\) −0.659386 7.61419i −0.0447621 0.516885i
\(218\) 21.9722 + 12.6857i 1.48815 + 0.859182i
\(219\) −1.44984 + 0.388484i −0.0979711 + 0.0262513i
\(220\) −17.7552 −1.19706
\(221\) −2.48776 4.12260i −0.167345 0.277316i
\(222\) 9.48369i 0.636503i
\(223\) 18.0743 4.84300i 1.21035 0.324311i 0.403449 0.915002i \(-0.367811\pi\)
0.806898 + 0.590691i \(0.201145\pi\)
\(224\) 11.5312 + 16.4992i 0.770461 + 1.10240i
\(225\) −5.98758 + 3.45693i −0.399172 + 0.230462i
\(226\) −9.66681 + 9.66681i −0.643027 + 0.643027i
\(227\) −0.339915 + 1.26858i −0.0225609 + 0.0841985i −0.976288 0.216474i \(-0.930544\pi\)
0.953727 + 0.300672i \(0.0972111\pi\)
\(228\) −2.30849 + 8.61540i −0.152883 + 0.570569i
\(229\) 6.99659 6.99659i 0.462348 0.462348i −0.437077 0.899424i \(-0.643986\pi\)
0.899424 + 0.437077i \(0.143986\pi\)
\(230\) −50.8392 + 29.3520i −3.35224 + 1.93541i
\(231\) −4.47647 6.40509i −0.294530 0.421424i
\(232\) −3.84174 + 1.02939i −0.252222 + 0.0675828i
\(233\) 24.7335i 1.62035i −0.586189 0.810174i \(-0.699373\pi\)
0.586189 0.810174i \(-0.300627\pi\)
\(234\) 4.83525 5.02609i 0.316090 0.328566i
\(235\) −5.51832 −0.359976
\(236\) −6.91280 + 1.85228i −0.449985 + 0.120573i
\(237\) −6.62740 3.82633i −0.430496 0.248547i
\(238\) −6.80906 + 0.589662i −0.441366 + 0.0382221i
\(239\) −7.30351 + 7.30351i −0.472425 + 0.472425i −0.902698 0.430274i \(-0.858417\pi\)
0.430274 + 0.902698i \(0.358417\pi\)
\(240\) 14.8364 + 3.97540i 0.957684 + 0.256611i
\(241\) −8.63024 2.31247i −0.555923 0.148959i −0.0300903 0.999547i \(-0.509579\pi\)
−0.525833 + 0.850588i \(0.676246\pi\)
\(242\) 3.11386 + 3.11386i 0.200166 + 0.200166i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 7.87242 13.6354i 0.503980 0.872920i
\(245\) −13.8934 + 19.7675i −0.887616 + 1.26290i
\(246\) 2.91688i 0.185974i
\(247\) −4.43306 + 17.9248i −0.282069 + 1.14053i
\(248\) 1.44365i 0.0916722i
\(249\) 3.70835 + 13.8397i 0.235007 + 0.877058i
\(250\) 11.0662 + 6.38907i 0.699888 + 0.404081i
\(251\) 6.13739 + 10.6303i 0.387389 + 0.670977i 0.992097 0.125470i \(-0.0400438\pi\)
−0.604709 + 0.796447i \(0.706710\pi\)
\(252\) −1.57218 4.33143i −0.0990383 0.272854i
\(253\) −25.0841 6.72126i −1.57702 0.422562i
\(254\) 7.08250 26.4323i 0.444396 1.65851i
\(255\) −3.25943 + 3.25943i −0.204113 + 0.204113i
\(256\) −9.65139 16.7167i −0.603212 1.04479i
\(257\) −2.78870 + 4.83017i −0.173954 + 0.301298i −0.939799 0.341728i \(-0.888988\pi\)
0.765845 + 0.643026i \(0.222321\pi\)
\(258\) −0.122796 0.458282i −0.00764496 0.0285314i
\(259\) 11.7515 + 5.49243i 0.730201 + 0.341283i
\(260\) −21.0409 5.20370i −1.30490 0.322720i
\(261\) 7.95825 0.492603
\(262\) −18.6466 + 4.99634i −1.15199 + 0.308675i
\(263\) −0.243621 + 0.421964i −0.0150223 + 0.0260194i −0.873439 0.486934i \(-0.838115\pi\)
0.858417 + 0.512953i \(0.171449\pi\)
\(264\) 0.738039 + 1.27832i 0.0454232 + 0.0786753i
\(265\) 6.39815 + 6.39815i 0.393035 + 0.393035i
\(266\) 20.0626 + 16.8647i 1.23012 + 1.03404i
\(267\) 4.11486 15.3569i 0.251825 0.939824i
\(268\) 14.1583 + 14.1583i 0.864854 + 0.864854i
\(269\) 14.2503 8.22741i 0.868855 0.501634i 0.00188759 0.999998i \(-0.499399\pi\)
0.866968 + 0.498364i \(0.166066\pi\)
\(270\) −5.78213 3.33831i −0.351889 0.203163i
\(271\) −5.62502 20.9928i −0.341695 1.27522i −0.896426 0.443194i \(-0.853845\pi\)
0.554730 0.832030i \(-0.312822\pi\)
\(272\) 5.94276 0.360333
\(273\) −3.42765 8.90232i −0.207451 0.538793i
\(274\) 1.05610 0.0638016
\(275\) 5.28519 + 19.7246i 0.318709 + 1.18944i
\(276\) −13.2617 7.65663i −0.798259 0.460875i
\(277\) 23.9312 13.8167i 1.43789 0.830165i 0.440186 0.897907i \(-0.354913\pi\)
0.997703 + 0.0677412i \(0.0215792\pi\)
\(278\) 4.57307 + 4.57307i 0.274275 + 0.274275i
\(279\) 0.747641 2.79024i 0.0447601 0.167047i
\(280\) 2.93674 3.49360i 0.175504 0.208783i
\(281\) 15.4703 + 15.4703i 0.922880 + 0.922880i 0.997232 0.0743517i \(-0.0236887\pi\)
−0.0743517 + 0.997232i \(0.523689\pi\)
\(282\) −1.54626 2.67819i −0.0920782 0.159484i
\(283\) 2.67677 4.63631i 0.159118 0.275600i −0.775433 0.631430i \(-0.782468\pi\)
0.934551 + 0.355830i \(0.115802\pi\)
\(284\) 19.2414 5.15572i 1.14177 0.305936i
\(285\) 17.6767 1.04708
\(286\) −10.6427 17.6366i −0.629318 1.04287i
\(287\) −3.61438 1.68930i −0.213350 0.0997161i
\(288\) 1.96915 + 7.34896i 0.116033 + 0.433041i
\(289\) 7.60828 13.1779i 0.447546 0.775172i
\(290\) −26.5671 46.0156i −1.56008 2.70213i
\(291\) −8.97436 + 8.97436i −0.526086 + 0.526086i
\(292\) −0.676596 + 2.52509i −0.0395948 + 0.147770i
\(293\) −11.8844 3.18441i −0.694294 0.186035i −0.105620 0.994407i \(-0.533683\pi\)
−0.588673 + 0.808371i \(0.700350\pi\)
\(294\) −13.4867 1.20392i −0.786559 0.0702138i
\(295\) 7.09169 + 12.2832i 0.412894 + 0.715154i
\(296\) −2.12199 1.22513i −0.123338 0.0712093i
\(297\) −0.764433 2.85290i −0.0443569 0.165542i
\(298\) 17.1488i 0.993401i
\(299\) −27.7560 15.3167i −1.60517 0.885785i
\(300\) 12.0414i 0.695212i
\(301\) −0.638985 0.113252i −0.0368305 0.00652772i
\(302\) −14.2720 + 24.7199i −0.821263 + 1.42247i
\(303\) 7.79059 4.49790i 0.447558 0.258397i
\(304\) −16.1145 16.1145i −0.924232 0.924232i
\(305\) −30.1406 8.07615i −1.72585 0.462439i
\(306\) −2.49519 0.668585i −0.142641 0.0382205i
\(307\) −8.36730 + 8.36730i −0.477547 + 0.477547i −0.904346 0.426799i \(-0.859641\pi\)
0.426799 + 0.904346i \(0.359641\pi\)
\(308\) −13.5590 + 1.17420i −0.772594 + 0.0669064i
\(309\) 5.47098 + 3.15867i 0.311233 + 0.179690i
\(310\) −18.6294 + 4.99172i −1.05808 + 0.283511i
\(311\) 2.28494 0.129567 0.0647836 0.997899i \(-0.479364\pi\)
0.0647836 + 0.997899i \(0.479364\pi\)
\(312\) 0.499964 + 1.73118i 0.0283049 + 0.0980088i
\(313\) 24.6656i 1.39418i 0.716982 + 0.697091i \(0.245523\pi\)
−0.716982 + 0.697091i \(0.754477\pi\)
\(314\) 1.97913 0.530306i 0.111689 0.0299269i
\(315\) −7.48528 + 5.23141i −0.421748 + 0.294757i
\(316\) −11.5425 + 6.66407i −0.649317 + 0.374883i
\(317\) 3.55562 3.55562i 0.199704 0.199704i −0.600169 0.799873i \(-0.704900\pi\)
0.799873 + 0.600169i \(0.204900\pi\)
\(318\) −1.31241 + 4.89799i −0.0735964 + 0.274666i
\(319\) 6.08355 22.7041i 0.340613 1.27119i
\(320\) 14.1970 14.1970i 0.793636 0.793636i
\(321\) 16.4977 9.52494i 0.920810 0.531630i
\(322\) −36.8827 + 25.7771i −2.05539 + 1.43650i
\(323\) 6.60615 1.77011i 0.367576 0.0984917i
\(324\) 1.74163i 0.0967574i
\(325\) 0.482340 + 24.9236i 0.0267554 + 1.38251i
\(326\) −20.6733 −1.14499
\(327\) 12.6694 3.39476i 0.700620 0.187731i
\(328\) 0.652657 + 0.376812i 0.0360370 + 0.0208060i
\(329\) −4.21412 + 0.364942i −0.232332 + 0.0201199i
\(330\) −13.9439 + 13.9439i −0.767588 + 0.767588i
\(331\) 17.6446 + 4.72784i 0.969832 + 0.259866i 0.708757 0.705453i \(-0.249256\pi\)
0.261075 + 0.965318i \(0.415923\pi\)
\(332\) 24.1038 + 6.45858i 1.32287 + 0.354461i
\(333\) 3.46682 + 3.46682i 0.189981 + 0.189981i
\(334\) −1.31731 + 0.760548i −0.0720798 + 0.0416153i
\(335\) 19.8411 34.3657i 1.08403 1.87760i
\(336\) 11.5929 + 2.05468i 0.632443 + 0.112092i
\(337\) 22.3954i 1.21996i −0.792418 0.609978i \(-0.791178\pi\)
0.792418 0.609978i \(-0.208822\pi\)
\(338\) −7.44325 24.0195i −0.404859 1.30649i
\(339\) 7.06753i 0.383856i
\(340\) 2.07783 + 7.75456i 0.112686 + 0.420550i
\(341\) −7.38875 4.26590i −0.400123 0.231011i
\(342\) 4.95308 + 8.57899i 0.267832 + 0.463899i
\(343\) −9.30255 + 16.0144i −0.502291 + 0.864699i
\(344\) 0.118405 + 0.0317264i 0.00638394 + 0.00171057i
\(345\) −7.85477 + 29.3144i −0.422886 + 1.57823i
\(346\) 7.62013 7.62013i 0.409661 0.409661i
\(347\) 7.01258 + 12.1461i 0.376455 + 0.652039i 0.990544 0.137198i \(-0.0438096\pi\)
−0.614089 + 0.789237i \(0.710476\pi\)
\(348\) 6.93018 12.0034i 0.371497 0.643451i
\(349\) 2.12038 + 7.91338i 0.113502 + 0.423594i 0.999170 0.0407238i \(-0.0129664\pi\)
−0.885669 + 0.464317i \(0.846300\pi\)
\(350\) 32.0551 + 14.9820i 1.71342 + 0.800821i
\(351\) −0.0697642 3.60488i −0.00372374 0.192414i
\(352\) 22.4711 1.19772
\(353\) −25.1216 + 6.73131i −1.33709 + 0.358271i −0.855353 0.518046i \(-0.826659\pi\)
−0.481734 + 0.876318i \(0.659993\pi\)
\(354\) −3.97424 + 6.88359i −0.211229 + 0.365859i
\(355\) −19.7393 34.1895i −1.04766 1.81459i
\(356\) −19.5794 19.5794i −1.03771 1.03771i
\(357\) −2.27354 + 2.70465i −0.120329 + 0.143145i
\(358\) −1.75930 + 6.56579i −0.0929819 + 0.347013i
\(359\) 3.71625 + 3.71625i 0.196136 + 0.196136i 0.798341 0.602205i \(-0.205711\pi\)
−0.602205 + 0.798341i \(0.705711\pi\)
\(360\) 1.49391 0.862507i 0.0787357 0.0454581i
\(361\) −6.25881 3.61353i −0.329411 0.190186i
\(362\) 11.6742 + 43.5687i 0.613582 + 2.28992i
\(363\) 2.27658 0.119490
\(364\) −16.4122 2.58237i −0.860234 0.135353i
\(365\) 5.18087 0.271179
\(366\) −4.52594 16.8910i −0.236575 0.882908i
\(367\) 26.8907 + 15.5253i 1.40368 + 0.810416i 0.994768 0.102157i \(-0.0325744\pi\)
0.408913 + 0.912573i \(0.365908\pi\)
\(368\) 33.8844 19.5632i 1.76634 1.01980i
\(369\) −1.06629 1.06629i −0.0555086 0.0555086i
\(370\) 8.47227 31.6189i 0.440452 1.64379i
\(371\) 5.30914 + 4.46289i 0.275637 + 0.231702i
\(372\) −3.55745 3.55745i −0.184445 0.184445i
\(373\) −6.35916 11.0144i −0.329265 0.570304i 0.653101 0.757271i \(-0.273468\pi\)
−0.982366 + 0.186967i \(0.940134\pi\)
\(374\) −3.81482 + 6.60746i −0.197260 + 0.341664i
\(375\) 6.38089 1.70975i 0.329508 0.0882913i
\(376\) 0.799000 0.0412053
\(377\) 13.8634 25.1226i 0.714003 1.29388i
\(378\) −4.63635 2.16695i −0.238468 0.111456i
\(379\) −5.03747 18.8001i −0.258757 0.965696i −0.965961 0.258686i \(-0.916710\pi\)
0.707204 0.707010i \(-0.249956\pi\)
\(380\) 15.3932 26.6617i 0.789653 1.36772i
\(381\) −7.07343 12.2515i −0.362383 0.627665i
\(382\) 19.0187 19.0187i 0.973080 0.973080i
\(383\) −1.38240 + 5.15917i −0.0706372 + 0.263621i −0.992209 0.124587i \(-0.960239\pi\)
0.921572 + 0.388209i \(0.126906\pi\)
\(384\) −3.82967 1.02616i −0.195432 0.0523658i
\(385\) 9.20272 + 25.3538i 0.469014 + 1.29215i
\(386\) −2.81004 4.86714i −0.143028 0.247731i
\(387\) −0.212417 0.122639i −0.0107978 0.00623409i
\(388\) 5.72099 + 21.3510i 0.290439 + 1.08393i
\(389\) 3.01128i 0.152678i 0.997082 + 0.0763390i \(0.0243231\pi\)
−0.997082 + 0.0763390i \(0.975677\pi\)
\(390\) −20.6110 + 12.4376i −1.04368 + 0.629802i
\(391\) 11.7420i 0.593817i
\(392\) 2.01163 2.86214i 0.101603 0.144560i
\(393\) −4.98993 + 8.64282i −0.251709 + 0.435973i
\(394\) 1.36441 0.787740i 0.0687378 0.0396858i
\(395\) 18.6777 + 18.6777i 0.939778 + 0.939778i
\(396\) −4.96871 1.33136i −0.249687 0.0669035i
\(397\) −13.7845 3.69353i −0.691822 0.185373i −0.104257 0.994550i \(-0.533247\pi\)
−0.587565 + 0.809177i \(0.699913\pi\)
\(398\) 2.35556 2.35556i 0.118074 0.118074i
\(399\) 13.4990 1.16901i 0.675795 0.0585236i
\(400\) −26.6446 15.3833i −1.33223 0.769164i
\(401\) 29.6397 7.94193i 1.48014 0.396601i 0.573742 0.819036i \(-0.305491\pi\)
0.906393 + 0.422435i \(0.138824\pi\)
\(402\) 22.2382 1.10914
\(403\) −7.50580 7.22080i −0.373891 0.359694i
\(404\) 15.6674i 0.779481i
\(405\) −3.33403 + 0.893352i −0.165670 + 0.0443910i
\(406\) −23.3314 33.3833i −1.15792 1.65679i
\(407\) 12.5407 7.24036i 0.621618 0.358891i
\(408\) 0.471934 0.471934i 0.0233642 0.0233642i
\(409\) −2.88987 + 10.7851i −0.142895 + 0.533291i 0.856945 + 0.515408i \(0.172359\pi\)
−0.999840 + 0.0178834i \(0.994307\pi\)
\(410\) −2.60580 + 9.72499i −0.128691 + 0.480283i
\(411\) 0.386066 0.386066i 0.0190432 0.0190432i
\(412\) 9.52844 5.50125i 0.469433 0.271027i
\(413\) 6.22797 + 8.91118i 0.306458 + 0.438490i
\(414\) −16.4280 + 4.40187i −0.807393 + 0.216340i
\(415\) 49.4550i 2.42765i
\(416\) 26.6295 + 6.58584i 1.30562 + 0.322897i
\(417\) 3.34343 0.163728
\(418\) 28.2613 7.57260i 1.38231 0.370388i
\(419\) 9.49737 + 5.48331i 0.463977 + 0.267877i 0.713715 0.700436i \(-0.247011\pi\)
−0.249738 + 0.968313i \(0.580345\pi\)
\(420\) 1.37223 + 15.8456i 0.0669578 + 0.773188i
\(421\) 6.63694 6.63694i 0.323465 0.323465i −0.526630 0.850095i \(-0.676545\pi\)
0.850095 + 0.526630i \(0.176545\pi\)
\(422\) 6.88584 + 1.84505i 0.335197 + 0.0898159i
\(423\) −1.54427 0.413787i −0.0750852 0.0201190i
\(424\) −0.926392 0.926392i −0.0449895 0.0449895i
\(425\) 7.99616 4.61658i 0.387871 0.223937i
\(426\) 11.0621 19.1601i 0.535960 0.928309i
\(427\) −23.5513 4.17415i −1.13973 0.202001i
\(428\) 33.1779i 1.60371i
\(429\) −10.3377 2.55666i −0.499109 0.123437i
\(430\) 1.63763i 0.0789734i
\(431\) 8.92021 + 33.2907i 0.429671 + 1.60355i 0.753506 + 0.657441i \(0.228361\pi\)
−0.323835 + 0.946114i \(0.604972\pi\)
\(432\) 3.85380 + 2.22499i 0.185416 + 0.107050i
\(433\) 19.6718 + 34.0725i 0.945365 + 1.63742i 0.755019 + 0.655703i \(0.227628\pi\)
0.190346 + 0.981717i \(0.439039\pi\)
\(434\) −13.8964 + 5.04399i −0.667048 + 0.242119i
\(435\) −26.5331 7.10952i −1.27216 0.340875i
\(436\) 5.91243 22.0655i 0.283154 1.05674i
\(437\) 31.8398 31.8398i 1.52311 1.52311i
\(438\) 1.45170 + 2.51442i 0.0693649 + 0.120144i
\(439\) −0.862363 + 1.49366i −0.0411583 + 0.0712883i −0.885871 0.463932i \(-0.846438\pi\)
0.844712 + 0.535220i \(0.179771\pi\)
\(440\) −1.31866 4.92130i −0.0628645 0.234614i
\(441\) −5.37024 + 4.49004i −0.255726 + 0.213812i
\(442\) −6.45727 + 6.71213i −0.307141 + 0.319264i
\(443\) −3.62484 −0.172221 −0.0861107 0.996286i \(-0.527444\pi\)
−0.0861107 + 0.996286i \(0.527444\pi\)
\(444\) 8.24797 2.21004i 0.391431 0.104884i
\(445\) −27.4382 + 47.5243i −1.30069 + 2.25287i
\(446\) −18.0975 31.3458i −0.856943 1.48427i
\(447\) 6.26884 + 6.26884i 0.296506 + 0.296506i
\(448\) 9.90279 11.7806i 0.467863 0.556579i
\(449\) 3.15356 11.7692i 0.148826 0.555425i −0.850730 0.525604i \(-0.823840\pi\)
0.999555 0.0298212i \(-0.00949379\pi\)
\(450\) 9.45663 + 9.45663i 0.445790 + 0.445790i
\(451\) −3.85711 + 2.22690i −0.181624 + 0.104861i
\(452\) 10.6599 + 6.15452i 0.501402 + 0.289484i
\(453\) 3.81928 + 14.2537i 0.179445 + 0.669699i
\(454\) 2.54041 0.119227
\(455\) 3.47499 + 32.7427i 0.162910 + 1.53500i
\(456\) −2.55942 −0.119856
\(457\) −4.20527 15.6943i −0.196714 0.734147i −0.991816 0.127672i \(-0.959250\pi\)
0.795102 0.606475i \(-0.207417\pi\)
\(458\) −16.5754 9.56978i −0.774515 0.447167i
\(459\) −1.15654 + 0.667729i −0.0539827 + 0.0311669i
\(460\) 37.3748 + 37.3748i 1.74261 + 1.74261i
\(461\) −0.972700 + 3.63017i −0.0453031 + 0.169074i −0.984871 0.173289i \(-0.944561\pi\)
0.939568 + 0.342363i \(0.111227\pi\)
\(462\) −9.72628 + 11.5706i −0.452508 + 0.538312i
\(463\) −8.26689 8.26689i −0.384195 0.384195i 0.488416 0.872611i \(-0.337575\pi\)
−0.872611 + 0.488416i \(0.837575\pi\)
\(464\) 17.7070 + 30.6695i 0.822028 + 1.42379i
\(465\) −4.98533 + 8.63484i −0.231189 + 0.400431i
\(466\) −46.2126 + 12.3826i −2.14076 + 0.573615i
\(467\) −32.1951 −1.48981 −0.744905 0.667170i \(-0.767505\pi\)
−0.744905 + 0.667170i \(0.767505\pi\)
\(468\) −5.49798 3.03396i −0.254144 0.140245i
\(469\) 12.8791 27.5559i 0.594703 1.27241i
\(470\) 2.76270 + 10.3105i 0.127434 + 0.475590i
\(471\) 0.529626 0.917340i 0.0244039 0.0422688i
\(472\) −1.02681 1.77849i −0.0472627 0.0818615i
\(473\) −0.512255 + 0.512255i −0.0235535 + 0.0235535i
\(474\) −3.83124 + 14.2984i −0.175975 + 0.656747i
\(475\) −34.2010 9.16414i −1.56925 0.420480i
\(476\) 2.09958 + 5.78444i 0.0962343 + 0.265129i
\(477\) 1.31073 + 2.27025i 0.0600142 + 0.103948i
\(478\) 17.3025 + 9.98958i 0.791396 + 0.456913i
\(479\) 0.610243 + 2.27746i 0.0278827 + 0.104060i 0.978465 0.206413i \(-0.0661792\pi\)
−0.950582 + 0.310473i \(0.899513\pi\)
\(480\) 26.2608i 1.19864i
\(481\) 16.9833 4.90478i 0.774373 0.223639i
\(482\) 17.2826i 0.787202i
\(483\) −4.05973 + 22.9057i −0.184724 + 1.04225i
\(484\) 1.98249 3.43377i 0.0901130 0.156080i
\(485\) 37.9381 21.9036i 1.72268 0.994589i
\(486\) −1.36778 1.36778i −0.0620437 0.0620437i
\(487\) −13.0172 3.48794i −0.589864 0.158054i −0.0484729 0.998824i \(-0.515435\pi\)
−0.541391 + 0.840771i \(0.682102\pi\)
\(488\) 4.36407 + 1.16935i 0.197552 + 0.0529339i
\(489\) −7.55726 + 7.55726i −0.341751 + 0.341751i
\(490\) 43.8895 + 16.0623i 1.98273 + 0.725619i
\(491\) −24.0166 13.8660i −1.08386 0.625764i −0.151921 0.988393i \(-0.548546\pi\)
−0.931934 + 0.362628i \(0.881879\pi\)
\(492\) −2.53682 + 0.679738i −0.114368 + 0.0306449i
\(493\) −10.6279 −0.478657
\(494\) 35.7105 0.691095i 1.60669 0.0310938i
\(495\) 10.1946i 0.458213i
\(496\) 12.4165 3.32699i 0.557517 0.149386i
\(497\) −17.3352 24.8038i −0.777590 1.11260i
\(498\) 24.0019 13.8575i 1.07555 0.620969i
\(499\) −12.5883 + 12.5883i −0.563529 + 0.563529i −0.930308 0.366779i \(-0.880460\pi\)
0.366779 + 0.930308i \(0.380460\pi\)
\(500\) 2.97776 11.1132i 0.133170 0.496996i
\(501\) −0.203527 + 0.759573i −0.00909292 + 0.0339352i
\(502\) 16.7892 16.7892i 0.749338 0.749338i
\(503\) −35.8460 + 20.6957i −1.59829 + 0.922776i −0.606479 + 0.795100i \(0.707418\pi\)
−0.991816 + 0.127676i \(0.959248\pi\)
\(504\) 1.08380 0.757458i 0.0482761 0.0337399i
\(505\) −29.9923 + 8.03641i −1.33464 + 0.357616i
\(506\) 50.2325i 2.23311i
\(507\) −11.5014 6.05954i −0.510795 0.269114i
\(508\) −24.6386 −1.09316
\(509\) −3.60857 + 0.966913i −0.159947 + 0.0428577i −0.337904 0.941181i \(-0.609718\pi\)
0.177957 + 0.984038i \(0.443051\pi\)
\(510\) 7.72178 + 4.45817i 0.341926 + 0.197411i
\(511\) 3.95643 0.342625i 0.175022 0.0151568i
\(512\) −20.7949 + 20.7949i −0.919014 + 0.919014i
\(513\) 4.94673 + 1.32547i 0.218404 + 0.0585211i
\(514\) 10.4209 + 2.79228i 0.459647 + 0.123162i
\(515\) −15.4186 15.4186i −0.679426 0.679426i
\(516\) −0.369952 + 0.213592i −0.0162862 + 0.00940287i
\(517\) −2.36099 + 4.08935i −0.103836 + 0.179850i
\(518\) 4.37889 24.7064i 0.192397 1.08554i
\(519\) 5.57117i 0.244547i
\(520\) −0.120344 6.21846i −0.00527744 0.272698i
\(521\) 38.7341i 1.69697i −0.529219 0.848486i \(-0.677515\pi\)
0.529219 0.848486i \(-0.322485\pi\)
\(522\) −3.98423 14.8694i −0.174385 0.650814i
\(523\) −30.8201 17.7940i −1.34767 0.778077i −0.359749 0.933049i \(-0.617138\pi\)
−0.987919 + 0.154972i \(0.950471\pi\)
\(524\) 8.69064 + 15.0526i 0.379652 + 0.657577i
\(525\) 17.1947 6.24119i 0.750439 0.272388i
\(526\) 0.910373 + 0.243934i 0.0396942 + 0.0106360i
\(527\) −0.998443 + 3.72624i −0.0434929 + 0.162318i
\(528\) 9.29365 9.29365i 0.404454 0.404454i
\(529\) 27.1537 + 47.0317i 1.18060 + 2.04486i
\(530\) 8.75125 15.1576i 0.380130 0.658405i
\(531\) 1.06353 + 3.96915i 0.0461533 + 0.172246i
\(532\) 9.99194 21.3785i 0.433205 0.926876i
\(533\) −5.22354 + 1.50855i −0.226256 + 0.0653427i
\(534\) −30.7531 −1.33082
\(535\) −63.5129 + 17.0182i −2.74590 + 0.735763i
\(536\) −2.87280 + 4.97583i −0.124086 + 0.214923i
\(537\) 1.75705 + 3.04329i 0.0758221 + 0.131328i
\(538\) −22.5065 22.5065i −0.970326 0.970326i
\(539\) 8.70447 + 18.7531i 0.374928 + 0.807754i
\(540\) −1.55589 + 5.80667i −0.0669549 + 0.249879i
\(541\) 12.2027 + 12.2027i 0.524634 + 0.524634i 0.918967 0.394333i \(-0.129025\pi\)
−0.394333 + 0.918967i \(0.629025\pi\)
\(542\) −36.4073 + 21.0198i −1.56383 + 0.902877i
\(543\) 20.1944 + 11.6592i 0.866624 + 0.500346i
\(544\) −2.62971 9.81422i −0.112748 0.420781i
\(545\) −45.2730 −1.93928
\(546\) −14.9172 + 10.8612i −0.638399 + 0.464814i
\(547\) −12.9228 −0.552538 −0.276269 0.961080i \(-0.589098\pi\)
−0.276269 + 0.961080i \(0.589098\pi\)
\(548\) −0.246110 0.918495i −0.0105133 0.0392362i
\(549\) −7.82911 4.52014i −0.334138 0.192915i
\(550\) 34.2078 19.7499i 1.45863 0.842138i
\(551\) 28.8189 + 28.8189i 1.22773 + 1.22773i
\(552\) 1.13730 4.24444i 0.0484065 0.180656i
\(553\) 15.4986 + 13.0282i 0.659069 + 0.554017i
\(554\) −37.7964 37.7964i −1.60581 1.60581i
\(555\) −8.46141 14.6556i −0.359167 0.622096i
\(556\) 2.91152 5.04289i 0.123476 0.213866i
\(557\) 5.77693 1.54792i 0.244777 0.0655877i −0.134345 0.990935i \(-0.542893\pi\)
0.379121 + 0.925347i \(0.376226\pi\)
\(558\) −5.58763 −0.236543
\(559\) −0.757180 + 0.456917i −0.0320253 + 0.0193255i
\(560\) −36.8155 17.2069i −1.55574 0.727124i
\(561\) 1.02087 + 3.80993i 0.0431011 + 0.160855i
\(562\) 21.1599 36.6501i 0.892578 1.54599i
\(563\) −3.80484 6.59017i −0.160355 0.277743i 0.774641 0.632401i \(-0.217930\pi\)
−0.934996 + 0.354658i \(0.884597\pi\)
\(564\) −1.96890 + 1.96890i −0.0829054 + 0.0829054i
\(565\) 6.31379 23.5634i 0.265623 0.991319i
\(566\) −10.0027 2.68021i −0.420443 0.112657i
\(567\) −2.48699 + 0.902706i −0.104444 + 0.0379101i
\(568\) 2.85807 + 4.95032i 0.119922 + 0.207711i
\(569\) −23.3969 13.5082i −0.980848 0.566293i −0.0783217 0.996928i \(-0.524956\pi\)
−0.902526 + 0.430635i \(0.858289\pi\)
\(570\) −8.84969 33.0275i −0.370673 1.38337i
\(571\) 17.2946i 0.723757i 0.932225 + 0.361878i \(0.117864\pi\)
−0.932225 + 0.361878i \(0.882136\pi\)
\(572\) −12.8584 + 13.3660i −0.537639 + 0.558859i
\(573\) 13.9048i 0.580881i
\(574\) −1.34681 + 7.59892i −0.0562147 + 0.317173i
\(575\) 30.3950 52.6456i 1.26756 2.19547i
\(576\) 5.03751 2.90841i 0.209896 0.121184i
\(577\) −1.06958 1.06958i −0.0445272 0.0445272i 0.684493 0.729020i \(-0.260024\pi\)
−0.729020 + 0.684493i \(0.760024\pi\)
\(578\) −28.4309 7.61804i −1.18257 0.316869i
\(579\) −2.80644 0.751984i −0.116632 0.0312514i
\(580\) −33.8287 + 33.8287i −1.40466 + 1.40466i
\(581\) −3.27060 37.7669i −0.135687 1.56683i
\(582\) 21.2608 + 12.2749i 0.881288 + 0.508812i
\(583\) 7.47878 2.00393i 0.309739 0.0829944i
\(584\) −0.750141 −0.0310410
\(585\) −2.98783 + 12.0811i −0.123531 + 0.499492i
\(586\) 23.7993i 0.983139i
\(587\) 42.5402 11.3986i 1.75582 0.470471i 0.769967 0.638083i \(-0.220272\pi\)
0.985853 + 0.167613i \(0.0536058\pi\)
\(588\) 2.09583 + 12.0099i 0.0864306 + 0.495282i
\(589\) 12.8116 7.39677i 0.527892 0.304778i
\(590\) 19.3997 19.3997i 0.798674 0.798674i
\(591\) 0.210804 0.786731i 0.00867131 0.0323618i
\(592\) −5.64678 + 21.0741i −0.232081 + 0.866139i
\(593\) −14.9496 + 14.9496i −0.613907 + 0.613907i −0.943962 0.330055i \(-0.892933\pi\)
0.330055 + 0.943962i \(0.392933\pi\)
\(594\) −4.94771 + 2.85656i −0.203007 + 0.117206i
\(595\) 9.99627 6.98633i 0.409807 0.286411i
\(596\) 14.9143 3.99627i 0.610913 0.163694i
\(597\) 1.72218i 0.0704843i
\(598\) −14.7221 + 59.5281i −0.602033 + 2.43428i
\(599\) 22.8397 0.933203 0.466601 0.884468i \(-0.345478\pi\)
0.466601 + 0.884468i \(0.345478\pi\)
\(600\) −3.33757 + 0.894300i −0.136256 + 0.0365096i
\(601\) 24.7100 + 14.2663i 1.00794 + 0.581936i 0.910589 0.413313i \(-0.135629\pi\)
0.0973547 + 0.995250i \(0.468962\pi\)
\(602\) 0.108301 + 1.25059i 0.00441401 + 0.0509703i
\(603\) 8.12931 8.12931i 0.331051 0.331051i
\(604\) 24.8248 + 6.65178i 1.01011 + 0.270657i
\(605\) −7.59020 2.03379i −0.308586 0.0826852i
\(606\) −12.3043 12.3043i −0.499826 0.499826i
\(607\) 22.6642 13.0852i 0.919913 0.531112i 0.0363055 0.999341i \(-0.488441\pi\)
0.883607 + 0.468229i \(0.155108\pi\)
\(608\) −19.4817 + 33.7433i −0.790087 + 1.36847i
\(609\) −20.7324 3.67455i −0.840121 0.148900i
\(610\) 60.3585i 2.44385i
\(611\) −3.99640 + 4.15413i −0.161677 + 0.168058i
\(612\) 2.32588i 0.0940180i
\(613\) 7.15174 + 26.6907i 0.288856 + 1.07803i 0.945975 + 0.324239i \(0.105108\pi\)
−0.657119 + 0.753787i \(0.728225\pi\)
\(614\) 19.8226 + 11.4446i 0.799977 + 0.461867i
\(615\) 2.60246 + 4.50760i 0.104941 + 0.181764i
\(616\) −1.33247 3.67099i −0.0536866 0.147909i
\(617\) 18.4697 + 4.94894i 0.743562 + 0.199237i 0.610660 0.791893i \(-0.290904\pi\)
0.132901 + 0.991129i \(0.457571\pi\)
\(618\) 3.16272 11.8034i 0.127223 0.474804i
\(619\) 5.80624 5.80624i 0.233373 0.233373i −0.580726 0.814099i \(-0.697231\pi\)
0.814099 + 0.580726i \(0.197231\pi\)
\(620\) 8.68261 + 15.0387i 0.348702 + 0.603970i
\(621\) −4.39623 + 7.61450i −0.176415 + 0.305559i
\(622\) −1.14394 4.26923i −0.0458677 0.171180i
\(623\) −17.8105 + 38.1070i −0.713563 + 1.52672i
\(624\) 13.7372 8.28967i 0.549929 0.331852i
\(625\) 11.7678 0.470712
\(626\) 46.0857 12.3486i 1.84196 0.493550i
\(627\) 7.56290 13.0993i 0.302033 0.523136i
\(628\) −0.922415 1.59767i −0.0368084 0.0637540i
\(629\) −4.62979 4.62979i −0.184602 0.184602i
\(630\) 13.5219 + 11.3666i 0.538726 + 0.452855i
\(631\) 1.64802 6.15049i 0.0656065 0.244847i −0.925333 0.379155i \(-0.876215\pi\)
0.990940 + 0.134308i \(0.0428813\pi\)
\(632\) −2.70436 2.70436i −0.107573 0.107573i
\(633\) 3.19163 1.84269i 0.126856 0.0732404i
\(634\) −8.42348 4.86330i −0.334539 0.193146i
\(635\) 12.6381 + 47.1661i 0.501529 + 1.87173i
\(636\) 4.56562 0.181039
\(637\) 4.81908 + 24.7745i 0.190939 + 0.981602i
\(638\) −45.4665 −1.80004
\(639\) −2.96028 11.0479i −0.117107 0.437049i
\(640\) 11.8515 + 6.84248i 0.468473 + 0.270473i
\(641\) −12.5318 + 7.23523i −0.494976 + 0.285774i −0.726636 0.687022i \(-0.758917\pi\)
0.231660 + 0.972797i \(0.425584\pi\)
\(642\) −26.0560 26.0560i −1.02835 1.02835i
\(643\) −7.35905 + 27.4644i −0.290213 + 1.08309i 0.654733 + 0.755861i \(0.272781\pi\)
−0.944945 + 0.327228i \(0.893885\pi\)
\(644\) 31.0134 + 26.0700i 1.22210 + 1.02730i
\(645\) 0.598645 + 0.598645i 0.0235716 + 0.0235716i
\(646\) −6.61463 11.4569i −0.260249 0.450765i
\(647\) −4.83456 + 8.37370i −0.190066 + 0.329204i −0.945272 0.326284i \(-0.894204\pi\)
0.755206 + 0.655488i \(0.227537\pi\)
\(648\) 0.482736 0.129349i 0.0189637 0.00508130i
\(649\) 12.1366 0.476403
\(650\) 46.3263 13.3790i 1.81707 0.524768i
\(651\) −3.23605 + 6.92378i −0.126831 + 0.271364i
\(652\) 4.81762 + 17.9796i 0.188672 + 0.704135i
\(653\) −16.6586 + 28.8535i −0.651900 + 1.12912i 0.330762 + 0.943714i \(0.392694\pi\)
−0.982661 + 0.185409i \(0.940639\pi\)
\(654\) −12.6857 21.9722i −0.496049 0.859182i
\(655\) 24.3577 24.3577i 0.951734 0.951734i
\(656\) 1.73677 6.48172i 0.0678095 0.253069i
\(657\) 1.44984 + 0.388484i 0.0565637 + 0.0151562i
\(658\) 2.79163 + 7.69105i 0.108829 + 0.299828i
\(659\) 13.4367 + 23.2730i 0.523418 + 0.906586i 0.999629 + 0.0272549i \(0.00867657\pi\)
−0.476211 + 0.879331i \(0.657990\pi\)
\(660\) 15.3765 + 8.87762i 0.598529 + 0.345561i
\(661\) 4.30948 + 16.0832i 0.167619 + 0.625564i 0.997692 + 0.0679081i \(0.0216325\pi\)
−0.830072 + 0.557656i \(0.811701\pi\)
\(662\) 35.3344i 1.37331i
\(663\) 0.0931671 + 4.81416i 0.00361831 + 0.186966i
\(664\) 7.16062i 0.277886i
\(665\) −46.0504 8.16184i −1.78576 0.316502i
\(666\) 4.74184 8.21311i 0.183743 0.318252i
\(667\) −60.5981 + 34.9863i −2.34637 + 1.35468i
\(668\) 0.968429 + 0.968429i 0.0374696 + 0.0374696i
\(669\) −18.0743 4.84300i −0.698794 0.187241i
\(670\) −74.1428 19.8665i −2.86439 0.767510i
\(671\) −18.8803 + 18.8803i −0.728868 + 0.728868i
\(672\) −1.73670 20.0543i −0.0669946 0.773613i
\(673\) 22.1779 + 12.8044i 0.854896 + 0.493574i 0.862300 0.506398i \(-0.169023\pi\)
−0.00740398 + 0.999973i \(0.502357\pi\)
\(674\) −41.8440 + 11.2121i −1.61177 + 0.431873i
\(675\) 6.91386 0.266115
\(676\) −19.1552 + 12.0708i −0.736739 + 0.464261i
\(677\) 11.4036i 0.438275i −0.975694 0.219138i \(-0.929676\pi\)
0.975694 0.219138i \(-0.0703244\pi\)
\(678\) 13.2051 3.53830i 0.507139 0.135888i
\(679\) 27.5233 19.2358i 1.05625 0.738203i
\(680\) −1.99505 + 1.15184i −0.0765066 + 0.0441711i
\(681\) 0.928664 0.928664i 0.0355865 0.0355865i
\(682\) −4.27137 + 15.9410i −0.163559 + 0.610412i
\(683\) 9.10656 33.9861i 0.348453 1.30044i −0.540073 0.841618i \(-0.681604\pi\)
0.888526 0.458826i \(-0.151730\pi\)
\(684\) 6.30691 6.30691i 0.241151 0.241151i
\(685\) −1.63205 + 0.942264i −0.0623574 + 0.0360021i
\(686\) 34.5790 + 9.36357i 1.32023 + 0.357503i
\(687\) −9.55752 + 2.56093i −0.364642 + 0.0977056i
\(688\) 1.09148i 0.0416123i
\(689\) 9.45004 0.182884i 0.360018 0.00696733i
\(690\) 58.7040 2.23482
\(691\) 40.2685 10.7899i 1.53189 0.410468i 0.608252 0.793744i \(-0.291871\pi\)
0.923634 + 0.383276i \(0.125204\pi\)
\(692\) −8.40300 4.85147i −0.319434 0.184425i
\(693\) 0.674196 + 7.78520i 0.0256106 + 0.295735i
\(694\) 19.1833 19.1833i 0.728188 0.728188i
\(695\) −11.1471 2.98686i −0.422834 0.113298i
\(696\) 3.84174 + 1.02939i 0.145621 + 0.0390189i
\(697\) 1.42398 + 1.42398i 0.0539370 + 0.0539370i
\(698\) 13.7240 7.92353i 0.519460 0.299910i
\(699\) −12.3668 + 21.4199i −0.467754 + 0.810174i
\(700\) 5.55987 31.3697i 0.210143 1.18566i
\(701\) 8.53135i 0.322225i 0.986936 + 0.161112i \(0.0515081\pi\)
−0.986936 + 0.161112i \(0.948492\pi\)
\(702\) −6.70049 + 1.93510i −0.252894 + 0.0730356i
\(703\) 25.1085i 0.946986i
\(704\) −4.44656 16.5948i −0.167586 0.625440i
\(705\) 4.77901 + 2.75916i 0.179988 + 0.103916i
\(706\) 25.1538 + 43.5677i 0.946676 + 1.63969i
\(707\) −22.3725 + 8.12056i −0.841403 + 0.305405i
\(708\) 6.91280 + 1.85228i 0.259799 + 0.0696130i
\(709\) −0.424499 + 1.58425i −0.0159424 + 0.0594978i −0.973439 0.228947i \(-0.926472\pi\)
0.957496 + 0.288445i \(0.0931383\pi\)
\(710\) −53.9981 + 53.9981i −2.02651 + 2.02651i
\(711\) 3.82633 + 6.62740i 0.143499 + 0.248547i
\(712\) 3.97278 6.88106i 0.148886 0.257879i
\(713\) 6.57361 + 24.5331i 0.246184 + 0.918770i
\(714\) 6.19165 + 2.89387i 0.231717 + 0.108300i
\(715\) 32.1822 + 17.7592i 1.20355 + 0.664156i
\(716\) 6.12026 0.228725
\(717\) 9.97678 2.67327i 0.372590 0.0998351i
\(718\) 5.08300 8.80401i 0.189696 0.328563i
\(719\) 7.35184 + 12.7338i 0.274177 + 0.474889i 0.969927 0.243395i \(-0.0782611\pi\)
−0.695750 + 0.718284i \(0.744928\pi\)
\(720\) −10.8610 10.8610i −0.404765 0.404765i
\(721\) −12.7943 10.7549i −0.476484 0.400534i
\(722\) −3.61816 + 13.5032i −0.134654 + 0.502536i
\(723\) 6.31778 + 6.31778i 0.234961 + 0.234961i
\(724\) 35.1712 20.3061i 1.30713 0.754671i
\(725\) 47.6507 + 27.5111i 1.76970 + 1.02174i
\(726\) −1.13975 4.25361i −0.0423001 0.157866i
\(727\) 26.9644 1.00005 0.500026 0.866010i \(-0.333324\pi\)
0.500026 + 0.866010i \(0.333324\pi\)
\(728\) −0.503146 4.74083i −0.0186478 0.175707i
\(729\) −1.00000 −0.0370370
\(730\) −2.59376 9.68004i −0.0959993 0.358274i
\(731\) 0.283674 + 0.163779i 0.0104920 + 0.00605759i
\(732\) −13.6354 + 7.87242i −0.503980 + 0.290973i
\(733\) −27.0088 27.0088i −0.997593 0.997593i 0.00240406 0.999997i \(-0.499235\pi\)
−0.999997 + 0.00240406i \(0.999235\pi\)
\(734\) 15.5453 58.0157i 0.573786 2.14140i
\(735\) 21.9158 10.1724i 0.808375 0.375216i
\(736\) −47.3018 47.3018i −1.74357 1.74357i
\(737\) −16.9778 29.4064i −0.625386 1.08320i
\(738\) −1.45844 + 2.52609i −0.0536860 + 0.0929868i
\(739\) 45.4039 12.1659i 1.67021 0.447532i 0.705043 0.709165i \(-0.250928\pi\)
0.965167 + 0.261633i \(0.0842610\pi\)
\(740\) −29.4734 −1.08346
\(741\) 12.8016 13.3068i 0.470277 0.488839i
\(742\) 5.68057 12.1540i 0.208540 0.446188i
\(743\) 7.20187 + 26.8777i 0.264211 + 0.986049i 0.962732 + 0.270459i \(0.0871754\pi\)
−0.698521 + 0.715590i \(0.746158\pi\)
\(744\) 0.721827 1.25024i 0.0264635 0.0458361i
\(745\) −15.3002 26.5008i −0.560557 0.970914i
\(746\) −17.3958 + 17.3958i −0.636907 + 0.636907i
\(747\) 3.70835 13.8397i 0.135681 0.506370i
\(748\) 6.63550 + 1.77798i 0.242618 + 0.0650093i
\(749\) −47.3769 + 17.1964i −1.73111 + 0.628344i
\(750\) −6.38907 11.0662i −0.233296 0.404081i
\(751\) 35.2503 + 20.3518i 1.28630 + 0.742647i 0.977993 0.208639i \(-0.0669034\pi\)
0.308310 + 0.951286i \(0.400237\pi\)
\(752\) −1.84134 6.87199i −0.0671469 0.250596i
\(753\) 12.2748i 0.447318i
\(754\) −53.8801 13.3253i −1.96220 0.485279i
\(755\) 50.9344i 1.85369i
\(756\) −0.804162 + 4.53722i −0.0292471 + 0.165017i
\(757\) 6.21461 10.7640i 0.225874 0.391225i −0.730707 0.682691i \(-0.760810\pi\)
0.956581 + 0.291466i \(0.0941430\pi\)
\(758\) −32.6045 + 18.8242i −1.18425 + 0.683726i
\(759\) 18.3628 + 18.3628i 0.666528 + 0.666528i
\(760\) 8.53318 + 2.28646i 0.309531 + 0.0829386i
\(761\) −9.99508 2.67817i −0.362322 0.0970838i 0.0730655 0.997327i \(-0.476722\pi\)
−0.435387 + 0.900243i \(0.643388\pi\)
\(762\) −19.3498 + 19.3498i −0.700968 + 0.700968i
\(763\) −34.5732 + 2.99403i −1.25163 + 0.108391i
\(764\) −20.9726 12.1085i −0.758762 0.438071i
\(765\) 4.45246 1.19303i 0.160979 0.0431342i
\(766\) 10.3316 0.373295
\(767\) 14.3825 + 3.55699i 0.519322 + 0.128435i
\(768\) 19.3028i 0.696529i
\(769\) 12.9631 3.47345i 0.467461 0.125256i −0.0173970 0.999849i \(-0.505538\pi\)
0.484858 + 0.874593i \(0.338871\pi\)
\(770\) 42.7644 29.8877i 1.54112 1.07708i
\(771\) 4.83017 2.78870i 0.173954 0.100433i
\(772\) −3.57812 + 3.57812i −0.128779 + 0.128779i
\(773\) 8.80996 32.8792i 0.316872 1.18258i −0.605362 0.795950i \(-0.706972\pi\)
0.922234 0.386632i \(-0.126362\pi\)