Properties

Label 546.2.by.b.19.2
Level $546$
Weight $2$
Character 546.19
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.2
Character \(\chi\) \(=\) 546.19
Dual form 546.2.by.b.115.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} -1.00000i q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.37297 + 0.367885i) q^{5} +(-0.258819 + 0.965926i) q^{6} +(-0.220772 - 2.63652i) q^{7} +(-0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} -1.00000i q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.37297 + 0.367885i) q^{5} +(-0.258819 + 0.965926i) q^{6} +(-0.220772 - 2.63652i) q^{7} +(-0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +1.42140 q^{10} +(2.72762 + 2.72762i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-1.74539 - 3.15494i) q^{13} +(-0.469134 + 2.60383i) q^{14} +(0.367885 + 1.37297i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.18021 - 2.04418i) q^{17} +(0.965926 + 0.258819i) q^{18} +(-4.27628 - 4.27628i) q^{19} +(-1.37297 - 0.367885i) q^{20} +(-2.63652 + 0.220772i) q^{21} +(-1.92872 - 3.34063i) q^{22} +(-7.02168 + 4.05397i) q^{23} +(-0.707107 + 0.707107i) q^{24} +(-2.58043 + 1.48981i) q^{25} +(0.869355 + 3.49917i) q^{26} +1.00000i q^{27} +(1.12707 - 2.39368i) q^{28} +(-0.220739 + 0.382331i) q^{29} -1.42140i q^{30} +(0.855281 - 3.19195i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(2.72762 - 2.72762i) q^{33} +(-1.66907 + 1.66907i) q^{34} +(1.27305 + 3.53864i) q^{35} +(-0.866025 - 0.500000i) q^{36} +(1.96375 - 7.32883i) q^{37} +(3.02378 + 5.23735i) q^{38} +(-3.15494 + 1.74539i) q^{39} +(1.23097 + 0.710699i) q^{40} +(-1.33418 + 0.357492i) q^{41} +(2.60383 + 0.469134i) q^{42} +(-7.53977 + 4.35309i) q^{43} +(0.998376 + 3.72599i) q^{44} +(1.37297 - 0.367885i) q^{45} +(7.83167 - 2.09849i) q^{46} +(-1.64659 - 6.14515i) q^{47} +(0.866025 - 0.500000i) q^{48} +(-6.90252 + 1.16414i) q^{49} +(2.87810 - 0.771184i) q^{50} +(-2.04418 - 1.18021i) q^{51} +(0.0659206 - 3.60495i) q^{52} +(-4.08469 - 7.07489i) q^{53} +(0.258819 - 0.965926i) q^{54} +(-4.74837 - 2.74147i) q^{55} +(-1.70820 + 2.02041i) q^{56} +(-4.27628 + 4.27628i) q^{57} +(0.312172 - 0.312172i) q^{58} +(2.17393 + 8.11322i) q^{59} +(-0.367885 + 1.37297i) q^{60} +10.6572i q^{61} +(-1.65228 + 2.86183i) q^{62} +(0.220772 + 2.63652i) q^{63} +1.00000i q^{64} +(3.55701 + 3.68952i) q^{65} +(-3.34063 + 1.92872i) q^{66} +(-0.0278660 + 0.0278660i) q^{67} +(2.04418 - 1.18021i) q^{68} +(4.05397 + 7.02168i) q^{69} +(-0.313804 - 3.74755i) q^{70} +(-12.2523 - 3.28299i) q^{71} +(0.707107 + 0.707107i) q^{72} +(7.72484 + 2.06986i) q^{73} +(-3.79368 + 6.57085i) q^{74} +(1.48981 + 2.58043i) q^{75} +(-1.56523 - 5.84150i) q^{76} +(6.58924 - 7.79360i) q^{77} +(3.49917 - 0.869355i) q^{78} +(6.14585 - 10.6449i) q^{79} +(-1.00508 - 1.00508i) q^{80} +1.00000 q^{81} +1.38124 q^{82} +(-9.37857 - 9.37857i) q^{83} +(-2.39368 - 1.12707i) q^{84} +(-0.868362 + 3.24077i) q^{85} +(8.40952 - 2.25332i) q^{86} +(0.382331 + 0.220739i) q^{87} -3.85743i q^{88} +(1.99161 + 0.533652i) q^{89} -1.42140 q^{90} +(-7.93274 + 5.29827i) q^{91} -8.10794 q^{92} +(-3.19195 - 0.855281i) q^{93} +6.36192i q^{94} +(7.44436 + 4.29800i) q^{95} +(-0.965926 + 0.258819i) q^{96} +(3.62024 - 13.5109i) q^{97} +(6.96862 + 0.662032i) q^{98} +(-2.72762 - 2.72762i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 0.258819i −0.683013 0.183013i
\(3\) 1.00000i 0.577350i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −1.37297 + 0.367885i −0.614009 + 0.164523i −0.552403 0.833577i \(-0.686289\pi\)
−0.0616062 + 0.998101i \(0.519622\pi\)
\(6\) −0.258819 + 0.965926i −0.105662 + 0.394338i
\(7\) −0.220772 2.63652i −0.0834438 0.996512i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −1.00000 −0.333333
\(10\) 1.42140 0.449486
\(11\) 2.72762 + 2.72762i 0.822407 + 0.822407i 0.986453 0.164046i \(-0.0524545\pi\)
−0.164046 + 0.986453i \(0.552454\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) −1.74539 3.15494i −0.484083 0.875022i
\(14\) −0.469134 + 2.60383i −0.125381 + 0.695902i
\(15\) 0.367885 + 1.37297i 0.0949875 + 0.354498i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 1.18021 2.04418i 0.286243 0.495787i −0.686667 0.726972i \(-0.740927\pi\)
0.972910 + 0.231185i \(0.0742604\pi\)
\(18\) 0.965926 + 0.258819i 0.227671 + 0.0610042i
\(19\) −4.27628 4.27628i −0.981045 0.981045i 0.0187787 0.999824i \(-0.494022\pi\)
−0.999824 + 0.0187787i \(0.994022\pi\)
\(20\) −1.37297 0.367885i −0.307005 0.0822616i
\(21\) −2.63652 + 0.220772i −0.575337 + 0.0481763i
\(22\) −1.92872 3.34063i −0.411203 0.712225i
\(23\) −7.02168 + 4.05397i −1.46412 + 0.845311i −0.999198 0.0400397i \(-0.987252\pi\)
−0.464924 + 0.885351i \(0.653918\pi\)
\(24\) −0.707107 + 0.707107i −0.144338 + 0.144338i
\(25\) −2.58043 + 1.48981i −0.516086 + 0.297962i
\(26\) 0.869355 + 3.49917i 0.170495 + 0.686245i
\(27\) 1.00000i 0.192450i
\(28\) 1.12707 2.39368i 0.212996 0.452364i
\(29\) −0.220739 + 0.382331i −0.0409902 + 0.0709971i −0.885793 0.464081i \(-0.846385\pi\)
0.844802 + 0.535078i \(0.179718\pi\)
\(30\) 1.42140i 0.259511i
\(31\) 0.855281 3.19195i 0.153613 0.573292i −0.845607 0.533806i \(-0.820761\pi\)
0.999220 0.0394858i \(-0.0125720\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) 2.72762 2.72762i 0.474817 0.474817i
\(34\) −1.66907 + 1.66907i −0.286243 + 0.286243i
\(35\) 1.27305 + 3.53864i 0.215185 + 0.598139i
\(36\) −0.866025 0.500000i −0.144338 0.0833333i
\(37\) 1.96375 7.32883i 0.322839 1.20485i −0.593627 0.804740i \(-0.702305\pi\)
0.916466 0.400112i \(-0.131029\pi\)
\(38\) 3.02378 + 5.23735i 0.490522 + 0.849610i
\(39\) −3.15494 + 1.74539i −0.505194 + 0.279485i
\(40\) 1.23097 + 0.710699i 0.194633 + 0.112371i
\(41\) −1.33418 + 0.357492i −0.208364 + 0.0558309i −0.361491 0.932376i \(-0.617732\pi\)
0.153127 + 0.988206i \(0.451066\pi\)
\(42\) 2.60383 + 0.469134i 0.401779 + 0.0723889i
\(43\) −7.53977 + 4.35309i −1.14980 + 0.663840i −0.948839 0.315759i \(-0.897741\pi\)
−0.200964 + 0.979599i \(0.564408\pi\)
\(44\) 0.998376 + 3.72599i 0.150511 + 0.561714i
\(45\) 1.37297 0.367885i 0.204670 0.0548411i
\(46\) 7.83167 2.09849i 1.15472 0.309405i
\(47\) −1.64659 6.14515i −0.240179 0.896362i −0.975745 0.218909i \(-0.929750\pi\)
0.735566 0.677453i \(-0.236916\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) −6.90252 + 1.16414i −0.986074 + 0.166306i
\(50\) 2.87810 0.771184i 0.407024 0.109062i
\(51\) −2.04418 1.18021i −0.286243 0.165262i
\(52\) 0.0659206 3.60495i 0.00914154 0.499916i
\(53\) −4.08469 7.07489i −0.561076 0.971811i −0.997403 0.0720233i \(-0.977054\pi\)
0.436327 0.899788i \(-0.356279\pi\)
\(54\) 0.258819 0.965926i 0.0352208 0.131446i
\(55\) −4.74837 2.74147i −0.640270 0.369660i
\(56\) −1.70820 + 2.02041i −0.228267 + 0.269989i
\(57\) −4.27628 + 4.27628i −0.566407 + 0.566407i
\(58\) 0.312172 0.312172i 0.0409902 0.0409902i
\(59\) 2.17393 + 8.11322i 0.283022 + 1.05625i 0.950273 + 0.311419i \(0.100804\pi\)
−0.667251 + 0.744833i \(0.732529\pi\)
\(60\) −0.367885 + 1.37297i −0.0474938 + 0.177249i
\(61\) 10.6572i 1.36451i 0.731112 + 0.682257i \(0.239002\pi\)
−0.731112 + 0.682257i \(0.760998\pi\)
\(62\) −1.65228 + 2.86183i −0.209839 + 0.363452i
\(63\) 0.220772 + 2.63652i 0.0278146 + 0.332171i
\(64\) 1.00000i 0.125000i
\(65\) 3.55701 + 3.68952i 0.441193 + 0.457629i
\(66\) −3.34063 + 1.92872i −0.411203 + 0.237408i
\(67\) −0.0278660 + 0.0278660i −0.00340438 + 0.00340438i −0.708807 0.705403i \(-0.750766\pi\)
0.705403 + 0.708807i \(0.250766\pi\)
\(68\) 2.04418 1.18021i 0.247893 0.143121i
\(69\) 4.05397 + 7.02168i 0.488041 + 0.845311i
\(70\) −0.313804 3.74755i −0.0375068 0.447918i
\(71\) −12.2523 3.28299i −1.45408 0.389619i −0.556637 0.830756i \(-0.687909\pi\)
−0.897440 + 0.441137i \(0.854575\pi\)
\(72\) 0.707107 + 0.707107i 0.0833333 + 0.0833333i
\(73\) 7.72484 + 2.06986i 0.904124 + 0.242259i 0.680786 0.732482i \(-0.261638\pi\)
0.223337 + 0.974741i \(0.428305\pi\)
\(74\) −3.79368 + 6.57085i −0.441006 + 0.763846i
\(75\) 1.48981 + 2.58043i 0.172029 + 0.297962i
\(76\) −1.56523 5.84150i −0.179544 0.670066i
\(77\) 6.58924 7.79360i 0.750914 0.888163i
\(78\) 3.49917 0.869355i 0.396203 0.0984351i
\(79\) 6.14585 10.6449i 0.691462 1.19765i −0.279896 0.960030i \(-0.590300\pi\)
0.971359 0.237618i \(-0.0763666\pi\)
\(80\) −1.00508 1.00508i −0.112371 0.112371i
\(81\) 1.00000 0.111111
\(82\) 1.38124 0.152533
\(83\) −9.37857 9.37857i −1.02943 1.02943i −0.999554 0.0298777i \(-0.990488\pi\)
−0.0298777 0.999554i \(-0.509512\pi\)
\(84\) −2.39368 1.12707i −0.261172 0.122973i
\(85\) −0.868362 + 3.24077i −0.0941871 + 0.351511i
\(86\) 8.40952 2.25332i 0.906822 0.242982i
\(87\) 0.382331 + 0.220739i 0.0409902 + 0.0236657i
\(88\) 3.85743i 0.411203i
\(89\) 1.99161 + 0.533652i 0.211111 + 0.0565670i 0.362824 0.931858i \(-0.381812\pi\)
−0.151714 + 0.988424i \(0.548479\pi\)
\(90\) −1.42140 −0.149829
\(91\) −7.93274 + 5.29827i −0.831577 + 0.555410i
\(92\) −8.10794 −0.845311
\(93\) −3.19195 0.855281i −0.330990 0.0886885i
\(94\) 6.36192i 0.656182i
\(95\) 7.44436 + 4.29800i 0.763775 + 0.440966i
\(96\) −0.965926 + 0.258819i −0.0985844 + 0.0264156i
\(97\) 3.62024 13.5109i 0.367580 1.37183i −0.496310 0.868146i \(-0.665312\pi\)
0.863889 0.503681i \(-0.168021\pi\)
\(98\) 6.96862 + 0.662032i 0.703937 + 0.0668753i
\(99\) −2.72762 2.72762i −0.274136 0.274136i
\(100\) −2.97962 −0.297962
\(101\) 4.61068 0.458780 0.229390 0.973335i \(-0.426327\pi\)
0.229390 + 0.973335i \(0.426327\pi\)
\(102\) 1.66907 + 1.66907i 0.165262 + 0.165262i
\(103\) 6.27668 10.8715i 0.618460 1.07120i −0.371307 0.928510i \(-0.621090\pi\)
0.989767 0.142694i \(-0.0455764\pi\)
\(104\) −0.996704 + 3.46505i −0.0977348 + 0.339776i
\(105\) 3.53864 1.27305i 0.345336 0.124237i
\(106\) 2.11439 + 7.89102i 0.205368 + 0.766443i
\(107\) −0.287091 0.497256i −0.0277541 0.0480716i 0.851815 0.523843i \(-0.175502\pi\)
−0.879569 + 0.475772i \(0.842169\pi\)
\(108\) −0.500000 + 0.866025i −0.0481125 + 0.0833333i
\(109\) 18.8390 + 5.04790i 1.80445 + 0.483501i 0.994659 0.103218i \(-0.0329138\pi\)
0.809791 + 0.586718i \(0.199580\pi\)
\(110\) 3.87703 + 3.87703i 0.369660 + 0.369660i
\(111\) −7.32883 1.96375i −0.695622 0.186391i
\(112\) 2.17291 1.50946i 0.205321 0.142630i
\(113\) 5.28204 + 9.14876i 0.496892 + 0.860643i 0.999994 0.00358469i \(-0.00114104\pi\)
−0.503101 + 0.864227i \(0.667808\pi\)
\(114\) 5.23735 3.02378i 0.490522 0.283203i
\(115\) 8.14913 8.14913i 0.759911 0.759911i
\(116\) −0.382331 + 0.220739i −0.0354986 + 0.0204951i
\(117\) 1.74539 + 3.15494i 0.161361 + 0.291674i
\(118\) 8.39942i 0.773230i
\(119\) −5.65009 2.66035i −0.517943 0.243874i
\(120\) 0.710699 1.23097i 0.0648777 0.112371i
\(121\) 3.87977i 0.352706i
\(122\) 2.75829 10.2941i 0.249724 0.931981i
\(123\) 0.357492 + 1.33418i 0.0322340 + 0.120299i
\(124\) 2.33667 2.33667i 0.209839 0.209839i
\(125\) 8.02017 8.02017i 0.717346 0.717346i
\(126\) 0.469134 2.60383i 0.0417938 0.231967i
\(127\) 13.6070 + 7.85602i 1.20743 + 0.697109i 0.962197 0.272355i \(-0.0878027\pi\)
0.245232 + 0.969465i \(0.421136\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) 4.35309 + 7.53977i 0.383268 + 0.663840i
\(130\) −2.48089 4.48442i −0.217588 0.393310i
\(131\) 12.0386 + 6.95051i 1.05182 + 0.607269i 0.923159 0.384420i \(-0.125598\pi\)
0.128662 + 0.991688i \(0.458932\pi\)
\(132\) 3.72599 0.998376i 0.324306 0.0868975i
\(133\) −10.3304 + 12.2186i −0.895761 + 1.05949i
\(134\) 0.0341288 0.0197043i 0.00294828 0.00170219i
\(135\) −0.367885 1.37297i −0.0316625 0.118166i
\(136\) −2.27999 + 0.610921i −0.195507 + 0.0523860i
\(137\) 10.2723 2.75244i 0.877618 0.235157i 0.208239 0.978078i \(-0.433227\pi\)
0.669379 + 0.742921i \(0.266560\pi\)
\(138\) −2.09849 7.83167i −0.178635 0.666676i
\(139\) 4.31229 2.48970i 0.365764 0.211174i −0.305842 0.952082i \(-0.598938\pi\)
0.671606 + 0.740908i \(0.265605\pi\)
\(140\) −0.666826 + 3.70108i −0.0563571 + 0.312798i
\(141\) −6.14515 + 1.64659i −0.517515 + 0.138668i
\(142\) 10.9851 + 6.34224i 0.921848 + 0.532229i
\(143\) 3.84472 13.3662i 0.321511 1.11774i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 0.162413 0.606134i 0.0134877 0.0503367i
\(146\) −6.92590 3.99867i −0.573192 0.330932i
\(147\) 1.16414 + 6.90252i 0.0960166 + 0.569310i
\(148\) 5.36507 5.36507i 0.441006 0.441006i
\(149\) −5.56174 + 5.56174i −0.455636 + 0.455636i −0.897220 0.441584i \(-0.854417\pi\)
0.441584 + 0.897220i \(0.354417\pi\)
\(150\) −0.771184 2.87810i −0.0629669 0.234996i
\(151\) 3.98554 14.8742i 0.324338 1.21045i −0.590637 0.806937i \(-0.701123\pi\)
0.914975 0.403510i \(-0.132210\pi\)
\(152\) 6.04757i 0.490522i
\(153\) −1.18021 + 2.04418i −0.0954142 + 0.165262i
\(154\) −8.38185 + 5.82262i −0.675429 + 0.469200i
\(155\) 4.69709i 0.377279i
\(156\) −3.60495 0.0659206i −0.288627 0.00527787i
\(157\) −8.88249 + 5.12831i −0.708900 + 0.409283i −0.810653 0.585526i \(-0.800888\pi\)
0.101754 + 0.994810i \(0.467555\pi\)
\(158\) −8.69155 + 8.69155i −0.691462 + 0.691462i
\(159\) −7.07489 + 4.08469i −0.561076 + 0.323937i
\(160\) 0.710699 + 1.23097i 0.0561857 + 0.0973165i
\(161\) 12.2386 + 17.6178i 0.964535 + 1.38848i
\(162\) −0.965926 0.258819i −0.0758903 0.0203347i
\(163\) 1.25964 + 1.25964i 0.0986630 + 0.0986630i 0.754715 0.656052i \(-0.227775\pi\)
−0.656052 + 0.754715i \(0.727775\pi\)
\(164\) −1.33418 0.357492i −0.104182 0.0279154i
\(165\) −2.74147 + 4.74837i −0.213423 + 0.369660i
\(166\) 6.63165 + 11.4863i 0.514716 + 0.891514i
\(167\) 0.545200 + 2.03471i 0.0421888 + 0.157451i 0.983807 0.179233i \(-0.0573615\pi\)
−0.941618 + 0.336683i \(0.890695\pi\)
\(168\) 2.02041 + 1.70820i 0.155878 + 0.131790i
\(169\) −6.90726 + 11.0132i −0.531328 + 0.847166i
\(170\) 1.67755 2.90560i 0.128662 0.222849i
\(171\) 4.27628 + 4.27628i 0.327015 + 0.327015i
\(172\) −8.70617 −0.663840
\(173\) 4.41458 0.335634 0.167817 0.985818i \(-0.446328\pi\)
0.167817 + 0.985818i \(0.446328\pi\)
\(174\) −0.312172 0.312172i −0.0236657 0.0236657i
\(175\) 4.49761 + 6.47446i 0.339988 + 0.489423i
\(176\) −0.998376 + 3.72599i −0.0752555 + 0.280857i
\(177\) 8.11322 2.17393i 0.609827 0.163403i
\(178\) −1.78563 1.03094i −0.133839 0.0772719i
\(179\) 22.6818i 1.69532i −0.530540 0.847660i \(-0.678011\pi\)
0.530540 0.847660i \(-0.321989\pi\)
\(180\) 1.37297 + 0.367885i 0.102335 + 0.0274205i
\(181\) −4.69879 −0.349259 −0.174629 0.984634i \(-0.555873\pi\)
−0.174629 + 0.984634i \(0.555873\pi\)
\(182\) 9.03373 3.06459i 0.669625 0.227163i
\(183\) 10.6572 0.787803
\(184\) 7.83167 + 2.09849i 0.577358 + 0.154703i
\(185\) 10.7847i 0.792905i
\(186\) 2.86183 + 1.65228i 0.209839 + 0.121151i
\(187\) 8.79489 2.35658i 0.643146 0.172330i
\(188\) 1.64659 6.14515i 0.120090 0.448181i
\(189\) 2.63652 0.220772i 0.191779 0.0160588i
\(190\) −6.07829 6.07829i −0.440966 0.440966i
\(191\) −23.0096 −1.66491 −0.832457 0.554089i \(-0.813067\pi\)
−0.832457 + 0.554089i \(0.813067\pi\)
\(192\) 1.00000 0.0721688
\(193\) 3.09675 + 3.09675i 0.222909 + 0.222909i 0.809722 0.586813i \(-0.199618\pi\)
−0.586813 + 0.809722i \(0.699618\pi\)
\(194\) −6.99377 + 12.1136i −0.502124 + 0.869703i
\(195\) 3.68952 3.55701i 0.264212 0.254723i
\(196\) −6.55983 2.44309i −0.468559 0.174506i
\(197\) −2.73968 10.2246i −0.195194 0.728476i −0.992216 0.124525i \(-0.960259\pi\)
0.797022 0.603950i \(-0.206407\pi\)
\(198\) 1.92872 + 3.34063i 0.137068 + 0.237408i
\(199\) 5.14342 8.90867i 0.364608 0.631519i −0.624105 0.781340i \(-0.714536\pi\)
0.988713 + 0.149821i \(0.0478698\pi\)
\(200\) 2.87810 + 0.771184i 0.203512 + 0.0545309i
\(201\) 0.0278660 + 0.0278660i 0.00196552 + 0.00196552i
\(202\) −4.45357 1.19333i −0.313352 0.0839625i
\(203\) 1.05676 + 0.497576i 0.0741699 + 0.0349230i
\(204\) −1.18021 2.04418i −0.0826311 0.143121i
\(205\) 1.70027 0.981649i 0.118752 0.0685613i
\(206\) −8.87657 + 8.87657i −0.618460 + 0.618460i
\(207\) 7.02168 4.05397i 0.488041 0.281770i
\(208\) 1.85956 3.08902i 0.128938 0.214185i
\(209\) 23.3281i 1.61364i
\(210\) −3.74755 + 0.313804i −0.258606 + 0.0216546i
\(211\) −5.66861 + 9.81832i −0.390243 + 0.675921i −0.992481 0.122395i \(-0.960942\pi\)
0.602238 + 0.798317i \(0.294276\pi\)
\(212\) 8.16938i 0.561076i
\(213\) −3.28299 + 12.2523i −0.224946 + 0.839512i
\(214\) 0.148609 + 0.554617i 0.0101587 + 0.0379129i
\(215\) 8.75041 8.75041i 0.596773 0.596773i
\(216\) 0.707107 0.707107i 0.0481125 0.0481125i
\(217\) −8.60448 1.55028i −0.584110 0.105240i
\(218\) −16.8906 9.75179i −1.14398 0.660474i
\(219\) 2.06986 7.72484i 0.139868 0.521996i
\(220\) −2.74147 4.74837i −0.184830 0.320135i
\(221\) −8.50918 0.155600i −0.572389 0.0104668i
\(222\) 6.57085 + 3.79368i 0.441006 + 0.254615i
\(223\) −4.73346 + 1.26833i −0.316976 + 0.0849335i −0.413799 0.910368i \(-0.635799\pi\)
0.0968232 + 0.995302i \(0.469132\pi\)
\(224\) −2.48955 + 0.895632i −0.166340 + 0.0598419i
\(225\) 2.58043 1.48981i 0.172029 0.0993208i
\(226\) −2.73418 10.2041i −0.181875 0.678768i
\(227\) −7.10428 + 1.90358i −0.471527 + 0.126345i −0.486755 0.873539i \(-0.661819\pi\)
0.0152274 + 0.999884i \(0.495153\pi\)
\(228\) −5.84150 + 1.56523i −0.386863 + 0.103660i
\(229\) 1.29668 + 4.83929i 0.0856873 + 0.319789i 0.995443 0.0953536i \(-0.0303982\pi\)
−0.909756 + 0.415143i \(0.863732\pi\)
\(230\) −9.98061 + 5.76231i −0.658102 + 0.379955i
\(231\) −7.79360 6.58924i −0.512781 0.433540i
\(232\) 0.426435 0.114263i 0.0279968 0.00750173i
\(233\) −9.40002 5.42710i −0.615816 0.355541i 0.159422 0.987210i \(-0.449037\pi\)
−0.775238 + 0.631669i \(0.782370\pi\)
\(234\) −0.869355 3.49917i −0.0568315 0.228748i
\(235\) 4.52142 + 7.83132i 0.294945 + 0.510859i
\(236\) −2.17393 + 8.11322i −0.141511 + 0.528126i
\(237\) −10.6449 6.14585i −0.691462 0.399216i
\(238\) 4.76902 + 4.03205i 0.309129 + 0.261359i
\(239\) 6.33211 6.33211i 0.409590 0.409590i −0.472006 0.881596i \(-0.656470\pi\)
0.881596 + 0.472006i \(0.156470\pi\)
\(240\) −1.00508 + 1.00508i −0.0648777 + 0.0648777i
\(241\) −5.26545 19.6509i −0.339177 1.26583i −0.899269 0.437396i \(-0.855901\pi\)
0.560092 0.828430i \(-0.310766\pi\)
\(242\) 1.00416 3.74757i 0.0645497 0.240903i
\(243\) 1.00000i 0.0641500i
\(244\) −5.32860 + 9.22941i −0.341129 + 0.590852i
\(245\) 9.04866 4.13766i 0.578097 0.264345i
\(246\) 1.38124i 0.0880649i
\(247\) −6.02763 + 20.9551i −0.383529 + 1.33334i
\(248\) −2.86183 + 1.65228i −0.181726 + 0.104920i
\(249\) −9.37857 + 9.37857i −0.594342 + 0.594342i
\(250\) −9.82266 + 5.67112i −0.621240 + 0.358673i
\(251\) 0.890713 + 1.54276i 0.0562213 + 0.0973782i 0.892766 0.450520i \(-0.148761\pi\)
−0.836545 + 0.547898i \(0.815428\pi\)
\(252\) −1.12707 + 2.39368i −0.0709986 + 0.150788i
\(253\) −30.2101 8.09478i −1.89929 0.508914i
\(254\) −11.1101 11.1101i −0.697109 0.697109i
\(255\) 3.24077 + 0.868362i 0.202945 + 0.0543789i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 1.94630 + 3.37109i 0.121407 + 0.210283i 0.920323 0.391160i \(-0.127926\pi\)
−0.798916 + 0.601443i \(0.794593\pi\)
\(258\) −2.25332 8.40952i −0.140286 0.523554i
\(259\) −19.7562 3.55949i −1.22759 0.221176i
\(260\) 1.23570 + 4.97372i 0.0766349 + 0.308457i
\(261\) 0.220739 0.382331i 0.0136634 0.0236657i
\(262\) −9.82951 9.82951i −0.607269 0.607269i
\(263\) 3.32390 0.204960 0.102480 0.994735i \(-0.467322\pi\)
0.102480 + 0.994735i \(0.467322\pi\)
\(264\) −3.85743 −0.237408
\(265\) 8.21089 + 8.21089i 0.504391 + 0.504391i
\(266\) 13.1408 9.12854i 0.805716 0.559706i
\(267\) 0.533652 1.99161i 0.0326589 0.121885i
\(268\) −0.0380657 + 0.0101997i −0.00232523 + 0.000623044i
\(269\) 11.3381 + 6.54607i 0.691297 + 0.399121i 0.804098 0.594497i \(-0.202649\pi\)
−0.112800 + 0.993618i \(0.535982\pi\)
\(270\) 1.42140i 0.0865036i
\(271\) −23.4390 6.28045i −1.42382 0.381510i −0.536980 0.843595i \(-0.680435\pi\)
−0.886836 + 0.462085i \(0.847102\pi\)
\(272\) 2.36042 0.143121
\(273\) 5.29827 + 7.93274i 0.320666 + 0.480111i
\(274\) −10.6346 −0.642461
\(275\) −11.1021 2.97479i −0.669479 0.179386i
\(276\) 8.10794i 0.488041i
\(277\) 25.9144 + 14.9617i 1.55704 + 0.898959i 0.997538 + 0.0701328i \(0.0223423\pi\)
0.559506 + 0.828827i \(0.310991\pi\)
\(278\) −4.80974 + 1.28877i −0.288469 + 0.0772950i
\(279\) −0.855281 + 3.19195i −0.0512043 + 0.191097i
\(280\) 1.60201 3.40238i 0.0957386 0.203331i
\(281\) −14.1065 14.1065i −0.841521 0.841521i 0.147535 0.989057i \(-0.452866\pi\)
−0.989057 + 0.147535i \(0.952866\pi\)
\(282\) 6.36192 0.378847
\(283\) −16.6838 −0.991749 −0.495874 0.868394i \(-0.665152\pi\)
−0.495874 + 0.868394i \(0.665152\pi\)
\(284\) −8.96928 8.96928i −0.532229 0.532229i
\(285\) 4.29800 7.44436i 0.254592 0.440966i
\(286\) −7.17314 + 11.9157i −0.424156 + 0.704588i
\(287\) 1.23709 + 3.43867i 0.0730228 + 0.202978i
\(288\) 0.258819 + 0.965926i 0.0152511 + 0.0569177i
\(289\) 5.71422 + 9.89731i 0.336130 + 0.582195i
\(290\) −0.313758 + 0.543445i −0.0184245 + 0.0319122i
\(291\) −13.5109 3.62024i −0.792025 0.212222i
\(292\) 5.65497 + 5.65497i 0.330932 + 0.330932i
\(293\) 31.5634 + 8.45739i 1.84395 + 0.494086i 0.999159 0.0410025i \(-0.0130552\pi\)
0.844796 + 0.535089i \(0.179722\pi\)
\(294\) 0.662032 6.96862i 0.0386105 0.406418i
\(295\) −5.96947 10.3394i −0.347556 0.601984i
\(296\) −6.57085 + 3.79368i −0.381923 + 0.220503i
\(297\) −2.72762 + 2.72762i −0.158272 + 0.158272i
\(298\) 6.81171 3.93275i 0.394592 0.227818i
\(299\) 25.0456 + 15.0772i 1.44842 + 0.871938i
\(300\) 2.97962i 0.172029i
\(301\) 13.1416 + 18.9177i 0.757468 + 1.09040i
\(302\) −7.69947 + 13.3359i −0.443054 + 0.767393i
\(303\) 4.61068i 0.264877i
\(304\) 1.56523 5.84150i 0.0897718 0.335033i
\(305\) −3.92063 14.6320i −0.224494 0.837824i
\(306\) 1.66907 1.66907i 0.0954142 0.0954142i
\(307\) −3.32023 + 3.32023i −0.189496 + 0.189496i −0.795478 0.605982i \(-0.792780\pi\)
0.605982 + 0.795478i \(0.292780\pi\)
\(308\) 9.60325 3.45484i 0.547196 0.196858i
\(309\) −10.8715 6.27668i −0.618460 0.357068i
\(310\) 1.21570 4.53704i 0.0690469 0.257686i
\(311\) −13.3219 23.0743i −0.755417 1.30842i −0.945167 0.326588i \(-0.894101\pi\)
0.189749 0.981833i \(-0.439232\pi\)
\(312\) 3.46505 + 0.996704i 0.196170 + 0.0564272i
\(313\) 6.79782 + 3.92473i 0.384236 + 0.221839i 0.679660 0.733528i \(-0.262128\pi\)
−0.295424 + 0.955366i \(0.595461\pi\)
\(314\) 9.90713 2.65461i 0.559091 0.149808i
\(315\) −1.27305 3.53864i −0.0717282 0.199380i
\(316\) 10.6449 6.14585i 0.598824 0.345731i
\(317\) 1.29502 + 4.83309i 0.0727358 + 0.271454i 0.992710 0.120524i \(-0.0384576\pi\)
−0.919975 + 0.391978i \(0.871791\pi\)
\(318\) 7.89102 2.11439i 0.442506 0.118569i
\(319\) −1.64494 + 0.440761i −0.0920992 + 0.0246779i
\(320\) −0.367885 1.37297i −0.0205654 0.0767511i
\(321\) −0.497256 + 0.287091i −0.0277541 + 0.0160239i
\(322\) −7.26173 20.1851i −0.404680 1.12487i
\(323\) −13.7884 + 3.69458i −0.767206 + 0.205572i
\(324\) 0.866025 + 0.500000i 0.0481125 + 0.0277778i
\(325\) 9.20411 + 5.54080i 0.510552 + 0.307348i
\(326\) −0.890703 1.54274i −0.0493315 0.0854447i
\(327\) 5.04790 18.8390i 0.279149 1.04180i
\(328\) 1.19619 + 0.690622i 0.0660487 + 0.0381332i
\(329\) −15.8383 + 5.69794i −0.873194 + 0.314138i
\(330\) 3.87703 3.87703i 0.213423 0.213423i
\(331\) −4.93829 + 4.93829i −0.271433 + 0.271433i −0.829677 0.558244i \(-0.811475\pi\)
0.558244 + 0.829677i \(0.311475\pi\)
\(332\) −3.43279 12.8114i −0.188399 0.703115i
\(333\) −1.96375 + 7.32883i −0.107613 + 0.401617i
\(334\) 2.10649i 0.115262i
\(335\) 0.0280076 0.0485106i 0.00153022 0.00265042i
\(336\) −1.50946 2.17291i −0.0823476 0.118542i
\(337\) 11.2260i 0.611518i 0.952109 + 0.305759i \(0.0989101\pi\)
−0.952109 + 0.305759i \(0.901090\pi\)
\(338\) 9.52232 8.85017i 0.517946 0.481386i
\(339\) 9.14876 5.28204i 0.496892 0.286881i
\(340\) −2.37241 + 2.37241i −0.128662 + 0.128662i
\(341\) 11.0393 6.37354i 0.597811 0.345147i
\(342\) −3.02378 5.23735i −0.163507 0.283203i
\(343\) 4.59316 + 17.9417i 0.248007 + 0.968758i
\(344\) 8.40952 + 2.25332i 0.453411 + 0.121491i
\(345\) −8.14913 8.14913i −0.438735 0.438735i
\(346\) −4.26416 1.14258i −0.229243 0.0614254i
\(347\) −16.1101 + 27.9035i −0.864836 + 1.49794i 0.00237486 + 0.999997i \(0.499244\pi\)
−0.867210 + 0.497942i \(0.834089\pi\)
\(348\) 0.220739 + 0.382331i 0.0118329 + 0.0204951i
\(349\) 0.290712 + 1.08495i 0.0155614 + 0.0580761i 0.973270 0.229664i \(-0.0737627\pi\)
−0.957709 + 0.287740i \(0.907096\pi\)
\(350\) −2.66865 7.41792i −0.142645 0.396504i
\(351\) 3.15494 1.74539i 0.168398 0.0931618i
\(352\) 1.92872 3.34063i 0.102801 0.178056i
\(353\) 6.28449 + 6.28449i 0.334490 + 0.334490i 0.854289 0.519799i \(-0.173993\pi\)
−0.519799 + 0.854289i \(0.673993\pi\)
\(354\) −8.39942 −0.446424
\(355\) 18.0297 0.956917
\(356\) 1.45796 + 1.45796i 0.0772719 + 0.0772719i
\(357\) −2.66035 + 5.65009i −0.140801 + 0.299034i
\(358\) −5.87049 + 21.9090i −0.310265 + 1.15792i
\(359\) 9.34329 2.50353i 0.493120 0.132131i −0.00368517 0.999993i \(-0.501173\pi\)
0.496805 + 0.867862i \(0.334506\pi\)
\(360\) −1.23097 0.710699i −0.0648777 0.0374572i
\(361\) 17.5731i 0.924898i
\(362\) 4.53869 + 1.21614i 0.238548 + 0.0639187i
\(363\) 3.87977 0.203635
\(364\) −9.51909 + 0.622069i −0.498936 + 0.0326053i
\(365\) −11.3674 −0.594997
\(366\) −10.2941 2.75829i −0.538079 0.144178i
\(367\) 26.5746i 1.38718i −0.720369 0.693591i \(-0.756027\pi\)
0.720369 0.693591i \(-0.243973\pi\)
\(368\) −7.02168 4.05397i −0.366030 0.211328i
\(369\) 1.33418 0.357492i 0.0694546 0.0186103i
\(370\) 2.79128 10.4172i 0.145112 0.541564i
\(371\) −17.7513 + 12.3313i −0.921604 + 0.640210i
\(372\) −2.33667 2.33667i −0.121151 0.121151i
\(373\) −9.75113 −0.504894 −0.252447 0.967611i \(-0.581235\pi\)
−0.252447 + 0.967611i \(0.581235\pi\)
\(374\) −9.10514 −0.470816
\(375\) −8.02017 8.02017i −0.414160 0.414160i
\(376\) −3.18096 + 5.50959i −0.164046 + 0.284135i
\(377\) 1.59151 + 0.0291025i 0.0819667 + 0.00149885i
\(378\) −2.60383 0.469134i −0.133926 0.0241296i
\(379\) 7.08824 + 26.4537i 0.364098 + 1.35883i 0.868639 + 0.495445i \(0.164995\pi\)
−0.504541 + 0.863388i \(0.668338\pi\)
\(380\) 4.29800 + 7.44436i 0.220483 + 0.381888i
\(381\) 7.85602 13.6070i 0.402476 0.697109i
\(382\) 22.2255 + 5.95532i 1.13716 + 0.304701i
\(383\) −21.6913 21.6913i −1.10837 1.10837i −0.993365 0.115007i \(-0.963311\pi\)
−0.115007 0.993365i \(-0.536689\pi\)
\(384\) −0.965926 0.258819i −0.0492922 0.0132078i
\(385\) −6.17966 + 13.1244i −0.314944 + 0.668883i
\(386\) −2.18973 3.79273i −0.111455 0.193045i
\(387\) 7.53977 4.35309i 0.383268 0.221280i
\(388\) 9.89069 9.89069i 0.502124 0.502124i
\(389\) 2.94763 1.70182i 0.149451 0.0862855i −0.423410 0.905938i \(-0.639167\pi\)
0.572861 + 0.819653i \(0.305834\pi\)
\(390\) −4.48442 + 2.48089i −0.227078 + 0.125625i
\(391\) 19.1381i 0.967856i
\(392\) 5.70399 + 4.05765i 0.288095 + 0.204942i
\(393\) 6.95051 12.0386i 0.350607 0.607269i
\(394\) 10.5853i 0.533281i
\(395\) −4.52194 + 16.8761i −0.227523 + 0.849128i
\(396\) −0.998376 3.72599i −0.0501703 0.187238i
\(397\) 18.0810 18.0810i 0.907458 0.907458i −0.0886087 0.996067i \(-0.528242\pi\)
0.996067 + 0.0886087i \(0.0282421\pi\)
\(398\) −7.27390 + 7.27390i −0.364608 + 0.364608i
\(399\) 12.2186 + 10.3304i 0.611694 + 0.517168i
\(400\) −2.58043 1.48981i −0.129022 0.0744906i
\(401\) −0.553681 + 2.06637i −0.0276495 + 0.103189i −0.978372 0.206855i \(-0.933677\pi\)
0.950722 + 0.310044i \(0.100344\pi\)
\(402\) −0.0197043 0.0341288i −0.000982759 0.00170219i
\(403\) −11.5632 + 2.87283i −0.576004 + 0.143106i
\(404\) 3.99296 + 2.30534i 0.198657 + 0.114695i
\(405\) −1.37297 + 0.367885i −0.0682232 + 0.0182804i
\(406\) −0.891968 0.754131i −0.0442676 0.0374269i
\(407\) 25.3466 14.6339i 1.25638 0.725373i
\(408\) 0.610921 + 2.27999i 0.0302451 + 0.112876i
\(409\) −17.8921 + 4.79418i −0.884709 + 0.237057i −0.672438 0.740154i \(-0.734753\pi\)
−0.212271 + 0.977211i \(0.568086\pi\)
\(410\) −1.89640 + 0.508139i −0.0936565 + 0.0250952i
\(411\) −2.75244 10.2723i −0.135768 0.506693i
\(412\) 10.8715 6.27668i 0.535602 0.309230i
\(413\) 20.9108 7.52279i 1.02895 0.370172i
\(414\) −7.83167 + 2.09849i −0.384905 + 0.103135i
\(415\) 16.3267 + 9.42622i 0.801445 + 0.462715i
\(416\) −2.59570 + 2.50247i −0.127264 + 0.122694i
\(417\) −2.48970 4.31229i −0.121921 0.211174i
\(418\) −6.03775 + 22.5332i −0.295316 + 1.10213i
\(419\) −28.4741 16.4395i −1.39105 0.803124i −0.397620 0.917550i \(-0.630164\pi\)
−0.993432 + 0.114426i \(0.963497\pi\)
\(420\) 3.70108 + 0.666826i 0.180594 + 0.0325378i
\(421\) 11.1258 11.1258i 0.542238 0.542238i −0.381946 0.924185i \(-0.624746\pi\)
0.924185 + 0.381946i \(0.124746\pi\)
\(422\) 8.01663 8.01663i 0.390243 0.390243i
\(423\) 1.64659 + 6.14515i 0.0800598 + 0.298787i
\(424\) −2.11439 + 7.89102i −0.102684 + 0.383222i
\(425\) 7.03316i 0.341158i
\(426\) 6.34224 10.9851i 0.307283 0.532229i
\(427\) 28.0980 2.35281i 1.35976 0.113860i
\(428\) 0.574182i 0.0277541i
\(429\) −13.3662 3.84472i −0.645326 0.185625i
\(430\) −10.7170 + 6.18747i −0.516821 + 0.298386i
\(431\) −8.40355 + 8.40355i −0.404785 + 0.404785i −0.879915 0.475131i \(-0.842401\pi\)
0.475131 + 0.879915i \(0.342401\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) −1.73495 3.00502i −0.0833765 0.144412i 0.821322 0.570465i \(-0.193237\pi\)
−0.904698 + 0.426053i \(0.859904\pi\)
\(434\) 7.91005 + 3.72446i 0.379695 + 0.178780i
\(435\) −0.606134 0.162413i −0.0290619 0.00778712i
\(436\) 13.7911 + 13.7911i 0.660474 + 0.660474i
\(437\) 47.3625 + 12.6908i 2.26566 + 0.607081i
\(438\) −3.99867 + 6.92590i −0.191064 + 0.330932i
\(439\) −8.44641 14.6296i −0.403125 0.698233i 0.590976 0.806689i \(-0.298743\pi\)
−0.994101 + 0.108456i \(0.965409\pi\)
\(440\) 1.41909 + 5.29612i 0.0676525 + 0.252483i
\(441\) 6.90252 1.16414i 0.328691 0.0554352i
\(442\) 8.17896 + 2.35264i 0.389034 + 0.111903i
\(443\) 0.108413 0.187777i 0.00515086 0.00892155i −0.863438 0.504454i \(-0.831694\pi\)
0.868589 + 0.495533i \(0.165027\pi\)
\(444\) −5.36507 5.36507i −0.254615 0.254615i
\(445\) −2.93074 −0.138930
\(446\) 4.90044 0.232043
\(447\) 5.56174 + 5.56174i 0.263061 + 0.263061i
\(448\) 2.63652 0.220772i 0.124564 0.0104305i
\(449\) 2.07566 7.74645i 0.0979562 0.365578i −0.899495 0.436931i \(-0.856065\pi\)
0.997451 + 0.0713537i \(0.0227319\pi\)
\(450\) −2.87810 + 0.771184i −0.135675 + 0.0363539i
\(451\) −4.61423 2.66403i −0.217275 0.125444i
\(452\) 10.5641i 0.496892i
\(453\) −14.8742 3.98554i −0.698852 0.187257i
\(454\) 7.35489 0.345182
\(455\) 8.94222 10.1927i 0.419218 0.477840i
\(456\) 6.04757 0.283203
\(457\) −30.0661 8.05618i −1.40643 0.376852i −0.525782 0.850619i \(-0.676227\pi\)
−0.880650 + 0.473767i \(0.842894\pi\)
\(458\) 5.01000i 0.234102i
\(459\) 2.04418 + 1.18021i 0.0954142 + 0.0550874i
\(460\) 11.1319 2.98279i 0.519029 0.139073i
\(461\) 10.2018 38.0738i 0.475147 1.77327i −0.145689 0.989331i \(-0.546540\pi\)
0.620835 0.783941i \(-0.286794\pi\)
\(462\) 5.82262 + 8.38185i 0.270893 + 0.389959i
\(463\) 6.13141 + 6.13141i 0.284951 + 0.284951i 0.835080 0.550129i \(-0.185421\pi\)
−0.550129 + 0.835080i \(0.685421\pi\)
\(464\) −0.441478 −0.0204951
\(465\) 4.69709 0.217822
\(466\) 7.67508 + 7.67508i 0.355541 + 0.355541i
\(467\) 6.52135 11.2953i 0.301772 0.522684i −0.674765 0.738032i \(-0.735755\pi\)
0.976537 + 0.215348i \(0.0690886\pi\)
\(468\) −0.0659206 + 3.60495i −0.00304718 + 0.166639i
\(469\) 0.0796215 + 0.0673174i 0.00367658 + 0.00310843i
\(470\) −2.34046 8.73470i −0.107957 0.402902i
\(471\) 5.12831 + 8.88249i 0.236300 + 0.409283i
\(472\) 4.19971 7.27411i 0.193307 0.334818i
\(473\) −32.4391 8.69204i −1.49155 0.399660i
\(474\) 8.69155 + 8.69155i 0.399216 + 0.399216i
\(475\) 17.4055 + 4.66379i 0.798618 + 0.213989i
\(476\) −3.56294 5.12898i −0.163307 0.235086i
\(477\) 4.08469 + 7.07489i 0.187025 + 0.323937i
\(478\) −7.75521 + 4.47748i −0.354715 + 0.204795i
\(479\) −24.7228 + 24.7228i −1.12961 + 1.12961i −0.139374 + 0.990240i \(0.544509\pi\)
−0.990240 + 0.139374i \(0.955491\pi\)
\(480\) 1.23097 0.710699i 0.0561857 0.0324388i
\(481\) −26.5495 + 6.59611i −1.21055 + 0.300757i
\(482\) 20.3441i 0.926649i
\(483\) 17.6178 12.2386i 0.801639 0.556875i
\(484\) −1.93988 + 3.35998i −0.0881765 + 0.152726i
\(485\) 19.8819i 0.902790i
\(486\) −0.258819 + 0.965926i −0.0117403 + 0.0438153i
\(487\) −8.54456 31.8887i −0.387191 1.44502i −0.834684 0.550729i \(-0.814350\pi\)
0.447493 0.894288i \(-0.352317\pi\)
\(488\) 7.53578 7.53578i 0.341129 0.341129i
\(489\) 1.25964 1.25964i 0.0569631 0.0569631i
\(490\) −9.81123 + 1.65471i −0.443226 + 0.0747520i
\(491\) 36.0599 + 20.8192i 1.62736 + 0.939556i 0.984877 + 0.173256i \(0.0554287\pi\)
0.642482 + 0.766301i \(0.277905\pi\)
\(492\) −0.357492 + 1.33418i −0.0161170 + 0.0601494i
\(493\) 0.521036 + 0.902461i 0.0234663 + 0.0406448i
\(494\) 11.2458 18.6810i 0.505974 0.840500i
\(495\) 4.74837 + 2.74147i 0.213423 + 0.123220i
\(496\) 3.19195 0.855281i 0.143323 0.0384033i
\(497\) −5.95072 + 33.0282i −0.266926 + 1.48152i
\(498\) 11.4863 6.63165i 0.514716 0.297171i
\(499\) 1.75918 + 6.56533i 0.0787515 + 0.293905i 0.994058 0.108854i \(-0.0347181\pi\)
−0.915306 + 0.402759i \(0.868051\pi\)
\(500\) 10.9558 2.93559i 0.489956 0.131283i
\(501\) 2.03471 0.545200i 0.0909043 0.0243577i
\(502\) −0.461067 1.72073i −0.0205784 0.0767997i
\(503\) 7.14428 4.12475i 0.318548 0.183914i −0.332197 0.943210i \(-0.607790\pi\)
0.650745 + 0.759296i \(0.274457\pi\)
\(504\) 1.70820 2.02041i 0.0760891 0.0899964i
\(505\) −6.33030 + 1.69620i −0.281695 + 0.0754799i
\(506\) 27.0856 + 15.6379i 1.20410 + 0.695190i
\(507\) 11.0132 + 6.90726i 0.489112 + 0.306762i
\(508\) 7.85602 + 13.6070i 0.348555 + 0.603714i
\(509\) −8.86288 + 33.0767i −0.392840 + 1.46610i 0.432588 + 0.901592i \(0.357600\pi\)
−0.825428 + 0.564507i \(0.809066\pi\)
\(510\) −2.90560 1.67755i −0.128662 0.0742830i
\(511\) 3.75182 20.8237i 0.165971 0.921186i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 4.27628 4.27628i 0.188802 0.188802i
\(514\) −1.00748 3.75996i −0.0444380 0.165845i
\(515\) −4.61820 + 17.2353i −0.203502 + 0.759480i
\(516\) 8.70617i 0.383268i
\(517\) 12.2703 21.2528i 0.539649 0.934699i
\(518\) 18.1617 + 8.55147i 0.797981 + 0.375730i
\(519\) 4.41458i 0.193779i
\(520\) 0.0936995 5.12407i 0.00410899 0.224705i
\(521\) 18.7607 10.8315i 0.821921 0.474536i −0.0291576 0.999575i \(-0.509282\pi\)
0.851078 + 0.525039i \(0.175949\pi\)
\(522\) −0.312172 + 0.312172i −0.0136634 + 0.0136634i
\(523\) −26.0748 + 15.0543i −1.14017 + 0.658277i −0.946473 0.322784i \(-0.895381\pi\)
−0.193697 + 0.981061i \(0.562048\pi\)
\(524\) 6.95051 + 12.0386i 0.303634 + 0.525910i
\(525\) 6.47446 4.49761i 0.282569 0.196292i
\(526\) −3.21064 0.860288i −0.139990 0.0375103i
\(527\) −5.51552 5.51552i −0.240260 0.240260i
\(528\) 3.72599 + 0.998376i 0.162153 + 0.0434488i
\(529\) 21.3693 37.0128i 0.929102 1.60925i
\(530\) −5.80598 10.0562i −0.252195 0.436815i
\(531\) −2.17393 8.11322i −0.0943406 0.352084i
\(532\) −15.0557 + 5.41639i −0.652748 + 0.234830i
\(533\) 3.45652 + 3.58529i 0.149719 + 0.155296i
\(534\) −1.03094 + 1.78563i −0.0446129 + 0.0772719i
\(535\) 0.577099 + 0.577099i 0.0249502 + 0.0249502i
\(536\) 0.0394085 0.00170219
\(537\) −22.6818 −0.978793
\(538\) −9.25754 9.25754i −0.399121 0.399121i
\(539\) −22.0027 15.6521i −0.947725 0.674183i
\(540\) 0.367885 1.37297i 0.0158313 0.0590830i
\(541\) −1.32311 + 0.354527i −0.0568850 + 0.0152423i −0.287149 0.957886i \(-0.592708\pi\)
0.230264 + 0.973128i \(0.426041\pi\)
\(542\) 21.0148 + 12.1329i 0.902663 + 0.521153i
\(543\) 4.69879i 0.201644i
\(544\) −2.27999 0.610921i −0.0977536 0.0261930i
\(545\) −27.7224 −1.18750
\(546\) −3.06459 9.03373i −0.131152 0.386608i
\(547\) 13.2992 0.568632 0.284316 0.958731i \(-0.408233\pi\)
0.284316 + 0.958731i \(0.408233\pi\)
\(548\) 10.2723 + 2.75244i 0.438809 + 0.117579i
\(549\) 10.6572i 0.454838i
\(550\) 9.95383 + 5.74685i 0.424433 + 0.245046i
\(551\) 2.57889 0.691013i 0.109865 0.0294381i
\(552\) 2.09849 7.83167i 0.0893176 0.333338i
\(553\) −29.4224 13.8536i −1.25117 0.589115i
\(554\) −21.1590 21.1590i −0.898959 0.898959i
\(555\) 10.7847 0.457784
\(556\) 4.97941 0.211174
\(557\) 12.4410 + 12.4410i 0.527141 + 0.527141i 0.919719 0.392578i \(-0.128417\pi\)
−0.392578 + 0.919719i \(0.628417\pi\)
\(558\) 1.65228 2.86183i 0.0699464 0.121151i
\(559\) 26.8935 + 16.1897i 1.13747 + 0.684751i
\(560\) −2.42803 + 2.87181i −0.102603 + 0.121356i
\(561\) −2.35658 8.79489i −0.0994951 0.371321i
\(562\) 9.97478 + 17.2768i 0.420761 + 0.728779i
\(563\) −10.3723 + 17.9653i −0.437140 + 0.757149i −0.997468 0.0711225i \(-0.977342\pi\)
0.560328 + 0.828271i \(0.310675\pi\)
\(564\) −6.14515 1.64659i −0.258757 0.0693338i
\(565\) −10.6178 10.6178i −0.446692 0.446692i
\(566\) 16.1153 + 4.31808i 0.677377 + 0.181503i
\(567\) −0.220772 2.63652i −0.00927153 0.110724i
\(568\) 6.34224 + 10.9851i 0.266114 + 0.460924i
\(569\) 6.00413 3.46648i 0.251706 0.145323i −0.368839 0.929493i \(-0.620245\pi\)
0.620545 + 0.784171i \(0.286911\pi\)
\(570\) −6.07829 + 6.07829i −0.254592 + 0.254592i
\(571\) 25.9520 14.9834i 1.08606 0.627035i 0.153533 0.988144i \(-0.450935\pi\)
0.932524 + 0.361108i \(0.117602\pi\)
\(572\) 10.0127 9.65311i 0.418653 0.403617i
\(573\) 23.0096i 0.961239i
\(574\) −0.304939 3.64168i −0.0127279 0.152001i
\(575\) 12.0793 20.9220i 0.503742 0.872507i
\(576\) 1.00000i 0.0416667i
\(577\) 6.46820 24.1396i 0.269275 1.00495i −0.690307 0.723516i \(-0.742525\pi\)
0.959582 0.281430i \(-0.0908087\pi\)
\(578\) −2.95790 11.0390i −0.123032 0.459163i
\(579\) 3.09675 3.09675i 0.128697 0.128697i
\(580\) 0.443721 0.443721i 0.0184245 0.0184245i
\(581\) −22.6563 + 26.7973i −0.939941 + 1.11174i
\(582\) 12.1136 + 6.99377i 0.502124 + 0.289901i
\(583\) 8.15612 30.4391i 0.337792 1.26066i
\(584\) −3.99867 6.92590i −0.165466 0.286596i
\(585\) −3.55701 3.68952i −0.147064 0.152543i
\(586\) −28.2990 16.3384i −1.16902 0.674934i
\(587\) 16.4638 4.41145i 0.679532 0.182080i 0.0974873 0.995237i \(-0.468919\pi\)
0.582045 + 0.813157i \(0.302253\pi\)
\(588\) −2.44309 + 6.55983i −0.100751 + 0.270523i
\(589\) −17.3071 + 9.99225i −0.713126 + 0.411724i
\(590\) 3.09002 + 11.5321i 0.127214 + 0.474770i
\(591\) −10.2246 + 2.73968i −0.420586 + 0.112696i
\(592\) 7.32883 1.96375i 0.301213 0.0807098i
\(593\) −10.8717 40.5737i −0.446447 1.66616i −0.712089 0.702090i \(-0.752251\pi\)
0.265642 0.964072i \(-0.414416\pi\)
\(594\) 3.34063 1.92872i 0.137068 0.0791361i
\(595\) 8.73608 + 1.57399i 0.358144 + 0.0645272i
\(596\) −7.59748 + 2.03574i −0.311205 + 0.0833871i
\(597\) −8.90867 5.14342i −0.364608 0.210506i
\(598\) −20.2899 21.0457i −0.829715 0.860625i
\(599\) 11.3993 + 19.7442i 0.465764 + 0.806727i 0.999236 0.0390909i \(-0.0124462\pi\)
−0.533472 + 0.845818i \(0.679113\pi\)
\(600\) 0.771184 2.87810i 0.0314834 0.117498i
\(601\) 24.1075 + 13.9185i 0.983364 + 0.567745i 0.903284 0.429043i \(-0.141149\pi\)
0.0800799 + 0.996788i \(0.474482\pi\)
\(602\) −7.79753 21.6744i −0.317803 0.883384i
\(603\) 0.0278660 0.0278660i 0.00113479 0.00113479i
\(604\) 10.8887 10.8887i 0.443054 0.443054i
\(605\) −1.42731 5.32679i −0.0580284 0.216565i
\(606\) −1.19333 + 4.45357i −0.0484758 + 0.180914i
\(607\) 41.3512i 1.67839i −0.543829 0.839196i \(-0.683026\pi\)
0.543829 0.839196i \(-0.316974\pi\)
\(608\) −3.02378 + 5.23735i −0.122631 + 0.212402i
\(609\) 0.497576 1.05676i 0.0201628 0.0428220i
\(610\) 15.1481i 0.613330i
\(611\) −16.5136 + 15.9205i −0.668070 + 0.644075i
\(612\) −2.04418 + 1.18021i −0.0826311 + 0.0477071i
\(613\) −12.8048 + 12.8048i −0.517182 + 0.517182i −0.916718 0.399536i \(-0.869171\pi\)
0.399536 + 0.916718i \(0.369171\pi\)
\(614\) 4.06644 2.34776i 0.164108 0.0947478i
\(615\) −0.981649 1.70027i −0.0395839 0.0685613i
\(616\) −10.1702 + 0.851611i −0.409769 + 0.0343124i
\(617\) 32.3546 + 8.66940i 1.30255 + 0.349017i 0.842413 0.538832i \(-0.181134\pi\)
0.460135 + 0.887849i \(0.347801\pi\)
\(618\) 8.87657 + 8.87657i 0.357068 + 0.357068i
\(619\) 42.1473 + 11.2933i 1.69404 + 0.453917i 0.971428 0.237335i \(-0.0762741\pi\)
0.722613 + 0.691252i \(0.242941\pi\)
\(620\) −2.34854 + 4.06780i −0.0943198 + 0.163367i
\(621\) −4.05397 7.02168i −0.162680 0.281770i
\(622\) 6.89594 + 25.7360i 0.276502 + 1.03192i
\(623\) 0.967293 5.36876i 0.0387538 0.215095i
\(624\) −3.08902 1.85956i −0.123660 0.0744421i
\(625\) −0.611855 + 1.05976i −0.0244742 + 0.0423906i
\(626\) −5.55040 5.55040i −0.221839 0.221839i
\(627\) −23.3281 −0.931633
\(628\) −10.2566 −0.409283
\(629\) −12.6638 12.6638i −0.504939 0.504939i
\(630\) 0.313804 + 3.74755i 0.0125023 + 0.149306i
\(631\) −3.74651 + 13.9822i −0.149146 + 0.556622i 0.850389 + 0.526154i \(0.176366\pi\)
−0.999536 + 0.0304680i \(0.990300\pi\)
\(632\) −11.8729 + 3.18133i −0.472278 + 0.126546i
\(633\) 9.81832 + 5.66861i 0.390243 + 0.225307i
\(634\) 5.00359i 0.198718i
\(635\) −21.5721 5.78023i −0.856063 0.229381i
\(636\) −8.16938 −0.323937
\(637\) 15.7203 + 19.7451i 0.622863 + 0.782331i
\(638\) 1.70297 0.0674213
\(639\) 12.2523 + 3.28299i 0.484692 + 0.129873i
\(640\) 1.42140i 0.0561857i
\(641\) −21.0155 12.1333i −0.830061 0.479236i 0.0238123 0.999716i \(-0.492420\pi\)
−0.853874 + 0.520480i \(0.825753\pi\)
\(642\) 0.554617 0.148609i 0.0218890 0.00586514i
\(643\) −0.634628 + 2.36846i −0.0250273 + 0.0934031i −0.977310 0.211815i \(-0.932063\pi\)
0.952283 + 0.305218i \(0.0987293\pi\)
\(644\) 1.79000 + 21.3768i 0.0705360 + 0.842363i
\(645\) −8.75041 8.75041i −0.344547 0.344547i
\(646\) 14.2748 0.561634
\(647\) −1.85066 −0.0727568 −0.0363784 0.999338i \(-0.511582\pi\)
−0.0363784 + 0.999338i \(0.511582\pi\)
\(648\) −0.707107 0.707107i −0.0277778 0.0277778i
\(649\) −16.2001 + 28.0594i −0.635909 + 1.10143i
\(650\) −7.45642 7.73420i −0.292465 0.303360i
\(651\) −1.55028 + 8.60448i −0.0607602 + 0.337236i
\(652\) 0.461062 + 1.72071i 0.0180566 + 0.0673881i
\(653\) −12.8437 22.2459i −0.502612 0.870550i −0.999995 0.00301925i \(-0.999039\pi\)
0.497383 0.867531i \(-0.334294\pi\)
\(654\) −9.75179 + 16.8906i −0.381325 + 0.660474i
\(655\) −19.0856 5.11398i −0.745737 0.199820i
\(656\) −0.976687 0.976687i −0.0381332 0.0381332i
\(657\) −7.72484 2.06986i −0.301375 0.0807531i
\(658\) 16.7734 1.40453i 0.653894 0.0547543i
\(659\) 20.2039 + 34.9941i 0.787031 + 1.36318i 0.927778 + 0.373133i \(0.121716\pi\)
−0.140747 + 0.990046i \(0.544950\pi\)
\(660\) −4.74837 + 2.74147i −0.184830 + 0.106712i
\(661\) 5.92024 5.92024i 0.230271 0.230271i −0.582535 0.812806i \(-0.697939\pi\)
0.812806 + 0.582535i \(0.197939\pi\)
\(662\) 6.04814 3.49190i 0.235068 0.135716i
\(663\) −0.155600 + 8.50918i −0.00604301 + 0.330469i
\(664\) 13.2633i 0.514716i
\(665\) 9.68829 20.5761i 0.375696 0.797907i
\(666\) 3.79368 6.57085i 0.147002 0.254615i
\(667\) 3.57948i 0.138598i
\(668\) −0.545200 + 2.03471i −0.0210944 + 0.0787254i
\(669\) 1.26833 + 4.73346i 0.0490364 + 0.183006i
\(670\) −0.0396088 + 0.0396088i −0.00153022 + 0.00153022i
\(671\) −29.0687 + 29.0687i −1.12219 + 1.12219i
\(672\) 0.895632 + 2.48955i 0.0345497 + 0.0960364i
\(673\) 0.338909 + 0.195669i 0.0130640 + 0.00754250i 0.506518 0.862230i \(-0.330932\pi\)
−0.493454 + 0.869772i \(0.664266\pi\)
\(674\) 2.90550 10.8435i 0.111916 0.417674i
\(675\) −1.48981 2.58043i −0.0573429 0.0993208i
\(676\) −11.4884 + 6.08405i −0.441863 + 0.234002i
\(677\) 22.1437 + 12.7847i 0.851052 + 0.491355i 0.861006 0.508595i \(-0.169835\pi\)
−0.00995355 + 0.999950i \(0.503168\pi\)
\(678\) −10.2041 + 2.73418i −0.391887 + 0.105006i
\(679\) −36.4211 6.56203i −1.39772 0.251828i
\(680\) 2.90560 1.67755i 0.111425 0.0643310i
\(681\) 1.90358 + 7.10428i 0.0729455 + 0.272236i
\(682\) −12.3127 + 3.29919i −0.471479 + 0.126332i
\(683\) −5.31418 + 1.42393i −0.203341 + 0.0544852i −0.359052 0.933318i \(-0.616900\pi\)
0.155711 + 0.987803i \(0.450233\pi\)
\(684\) 1.56523 + 5.84150i 0.0598479 + 0.223355i
\(685\) −13.0909 + 7.55802i −0.500177 + 0.288777i
\(686\) 0.206989 18.5191i 0.00790287 0.707063i
\(687\) 4.83929 1.29668i 0.184631 0.0494716i
\(688\) −7.53977 4.35309i −0.287451 0.165960i
\(689\) −15.1915 + 25.2354i −0.578749 + 0.961391i
\(690\) 5.76231 + 9.98061i 0.219367 + 0.379955i
\(691\) −6.97796 + 26.0421i −0.265454 + 0.990688i 0.696518 + 0.717540i \(0.254732\pi\)
−0.961972 + 0.273149i \(0.911935\pi\)
\(692\) 3.82314 + 2.20729i 0.145334 + 0.0839086i
\(693\) −6.58924 + 7.79360i −0.250305 + 0.296054i
\(694\) 22.7831 22.7831i 0.864836 0.864836i
\(695\) −5.00471 + 5.00471i −0.189839 + 0.189839i
\(696\) −0.114263 0.426435i −0.00433113 0.0161640i
\(697\) −0.843830 + 3.14922i −0.0319624 + 0.119285i
\(698\) 1.12322i 0.0425147i
\(699\) −5.42710 + 9.40002i −0.205272 + 0.355541i
\(700\) 0.657816 + 7.85585i 0.0248631 + 0.296923i
\(701\) 41.8639i 1.58118i −0.612348 0.790588i \(-0.709775\pi\)
0.612348 0.790588i \(-0.290225\pi\)
\(702\) −3.49917 + 0.869355i −0.132068 + 0.0328117i
\(703\) −39.7376 + 22.9425i −1.49873 + 0.865294i
\(704\) −2.72762 + 2.72762i −0.102801 + 0.102801i
\(705\) 7.83132 4.52142i 0.294945 0.170286i
\(706\) −4.44381 7.69690i −0.167245 0.289677i
\(707\) −1.01791 12.1562i −0.0382823 0.457180i
\(708\) 8.11322 + 2.17393i 0.304913 + 0.0817013i
\(709\) 7.12529 + 7.12529i 0.267596 + 0.267596i 0.828131 0.560535i \(-0.189404\pi\)
−0.560535 + 0.828131i \(0.689404\pi\)
\(710\) −17.4154 4.66643i −0.653587 0.175128i
\(711\) −6.14585 + 10.6449i −0.230487 + 0.399216i
\(712\) −1.03094 1.78563i −0.0386359 0.0669194i
\(713\) 6.93457 + 25.8802i 0.259702 + 0.969220i
\(714\) 4.03205 4.76902i 0.150896 0.178476i
\(715\) −0.361439 + 19.7657i −0.0135171 + 0.739197i
\(716\) 11.3409 19.6430i 0.423830 0.734095i
\(717\) −6.33211 6.33211i −0.236477 0.236477i
\(718\) −9.67289 −0.360989
\(719\) −42.4068 −1.58151 −0.790753 0.612136i \(-0.790311\pi\)
−0.790753 + 0.612136i \(0.790311\pi\)
\(720\) 1.00508 + 1.00508i 0.0374572 + 0.0374572i
\(721\) −30.0488 14.1485i −1.11907 0.526918i
\(722\) 4.54825 16.9743i 0.169268 0.631717i
\(723\) −19.6509 + 5.26545i −0.730825 + 0.195824i
\(724\) −4.06927 2.34940i −0.151233 0.0873146i
\(725\) 1.31544i 0.0488542i
\(726\) −3.74757 1.00416i −0.139085 0.0372678i
\(727\) −16.8790 −0.626008 −0.313004 0.949752i \(-0.601335\pi\)
−0.313004 + 0.949752i \(0.601335\pi\)
\(728\) 9.35574 + 1.86285i 0.346747 + 0.0690418i
\(729\) −1.00000 −0.0370370
\(730\) 10.9801 + 2.94210i 0.406391 + 0.108892i
\(731\) 20.5502i 0.760077i
\(732\) 9.22941 + 5.32860i 0.341129 + 0.196951i
\(733\) 13.8883 3.72135i 0.512975 0.137451i 0.00695978 0.999976i \(-0.497785\pi\)
0.506015 + 0.862525i \(0.331118\pi\)
\(734\) −6.87801 + 25.6691i −0.253872 + 0.947463i
\(735\) −4.13766 9.04866i −0.152620 0.333765i
\(736\) 5.73318 + 5.73318i 0.211328 + 0.211328i
\(737\) −0.152016 −0.00559957
\(738\) −1.38124 −0.0508443
\(739\) −11.5720 11.5720i −0.425684 0.425684i 0.461471 0.887155i \(-0.347322\pi\)
−0.887155 + 0.461471i \(0.847322\pi\)
\(740\) −5.39233 + 9.33980i −0.198226 + 0.343338i
\(741\) 20.9551 + 6.02763i 0.769806 + 0.221431i
\(742\) 20.3381 7.31676i 0.746634 0.268607i
\(743\) −0.834271 3.11354i −0.0306064 0.114225i 0.948933 0.315479i \(-0.102165\pi\)
−0.979539 + 0.201254i \(0.935498\pi\)
\(744\) 1.65228 + 2.86183i 0.0605754 + 0.104920i
\(745\) 5.59000 9.68216i 0.204802 0.354727i
\(746\) 9.41887 + 2.52378i 0.344849 + 0.0924021i
\(747\) 9.37857 + 9.37857i 0.343144 + 0.343144i
\(748\) 8.79489 + 2.35658i 0.321573 + 0.0861652i
\(749\) −1.24765 + 0.866703i −0.0455880 + 0.0316686i
\(750\) 5.67112 + 9.82266i 0.207080 + 0.358673i
\(751\) 18.2107 10.5140i 0.664518 0.383660i −0.129478 0.991582i \(-0.541330\pi\)
0.793996 + 0.607922i \(0.207997\pi\)
\(752\) 4.49856 4.49856i 0.164046 0.164046i
\(753\) 1.54276 0.890713i 0.0562213 0.0324594i
\(754\) −1.52974 0.440023i −0.0557100 0.0160247i
\(755\) 21.8880i 0.796587i
\(756\) 2.39368 + 1.12707i 0.0870574 + 0.0409911i
\(757\) 25.1659 43.5887i 0.914672 1.58426i 0.107290 0.994228i \(-0.465783\pi\)
0.807381 0.590030i \(-0.200884\pi\)
\(758\) 27.3868i 0.994735i
\(759\) −8.09478 + 30.2101i −0.293822 + 1.09656i
\(760\) −2.22481 8.30310i −0.0807023 0.301185i
\(761\) 11.7335 11.7335i 0.425340 0.425340i −0.461698 0.887037i \(-0.652760\pi\)
0.887037 + 0.461698i \(0.152760\pi\)
\(762\) −11.1101 + 11.1101i −0.402476 + 0.402476i
\(763\) 9.14979 50.7839i 0.331245 1.83850i
\(764\) −19.9269 11.5048i −0.720929 0.416229i
\(765\) 0.868362 3.24077i 0.0313957 0.117170i
\(766\) 15.3380 + 26.5663i 0.554186 + 0.959878i
\(767\) 21.8024 21.0193i 0.787237 0.758963i
\(768\) 0.866025 + 0.500000i 0.0312500 + 0.0180422i
\(769\) 13.0827 3.50549i 0.471773 0.126411i −0.0150963 0.999886i \(-0.504805\pi\)
0.486869 + 0.873475i \(0.338139\pi\)
\(770\) 9.36594 11.0778i 0.337525 0.399217i
\(771\) 3.37109 1.94630i 0.121407 0.0700943i
\(772\) 1.13349 + 4.23024i 0.0407952 + 0.152250i
\(773\) −36.9356 + 9.89685i −1.32848 + 0.355965i −0.852148 0.523301i \(-0.824700\pi\)
−0.476332 + 0.879266i \(0.658034\pi\)
\(774\