Properties

Label 273.2.by.c.76.1
Level $273$
Weight $2$
Character 273.76
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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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 76.1
Character \(\chi\) \(=\) 273.76
Dual form 273.2.by.c.97.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.706652 + 2.63726i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-4.72373 - 2.72725i) q^{4} +(2.18431 - 2.18431i) q^{5} +(0.706652 + 2.63726i) q^{6} +(-1.85732 - 1.88424i) q^{7} +(6.66928 - 6.66928i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.706652 + 2.63726i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-4.72373 - 2.72725i) q^{4} +(2.18431 - 2.18431i) q^{5} +(0.706652 + 2.63726i) q^{6} +(-1.85732 - 1.88424i) q^{7} +(6.66928 - 6.66928i) q^{8} +(0.500000 - 0.866025i) q^{9} +(4.21705 + 7.30414i) q^{10} +(-0.456585 - 0.122342i) q^{11} -5.45450 q^{12} +(2.45314 - 2.64236i) q^{13} +(6.28171 - 3.56673i) q^{14} +(0.799513 - 2.98382i) q^{15} +(7.42128 + 12.8540i) q^{16} +(1.14138 - 1.97693i) q^{17} +(1.93061 + 1.93061i) q^{18} +(1.51851 + 5.66717i) q^{19} +(-16.2753 + 4.36094i) q^{20} +(-2.55061 - 0.703143i) q^{21} +(0.645294 - 1.11768i) q^{22} +(0.481898 - 0.278224i) q^{23} +(2.44113 - 9.11041i) q^{24} -4.54242i q^{25} +(5.23509 + 8.33681i) q^{26} -1.00000i q^{27} +(3.63468 + 13.9660i) q^{28} +(-3.64605 - 6.31515i) q^{29} +(7.30414 + 4.21705i) q^{30} +(-2.74924 + 2.74924i) q^{31} +(-20.9229 + 5.60626i) q^{32} +(-0.456585 + 0.122342i) q^{33} +(4.40713 + 4.40713i) q^{34} +(-8.17273 - 0.0588104i) q^{35} +(-4.72373 + 2.72725i) q^{36} +(-6.41041 - 1.71767i) q^{37} -16.0189 q^{38} +(0.803302 - 3.51493i) q^{39} -29.1356i q^{40} +(1.49535 + 0.400678i) q^{41} +(3.65676 - 6.22973i) q^{42} +(5.08624 + 2.93654i) q^{43} +(1.82313 + 1.82313i) q^{44} +(-0.799513 - 2.98382i) q^{45} +(0.393215 + 1.46750i) q^{46} +(6.55220 + 6.55220i) q^{47} +(12.8540 + 7.42128i) q^{48} +(-0.100738 + 6.99928i) q^{49} +(11.9795 + 3.20991i) q^{50} -2.28277i q^{51} +(-18.7944 + 5.79150i) q^{52} +4.17698 q^{53} +(2.63726 + 0.706652i) q^{54} +(-1.26456 + 0.730092i) q^{55} +(-24.9535 - 0.179564i) q^{56} +(4.14865 + 4.14865i) q^{57} +(19.2312 - 5.15298i) q^{58} +(14.2781 - 3.82579i) q^{59} +(-11.9143 + 11.9143i) q^{60} +(-0.553719 - 0.319690i) q^{61} +(-5.30771 - 9.19322i) q^{62} +(-2.56046 + 0.666364i) q^{63} -29.4556i q^{64} +(-0.413319 - 11.1302i) q^{65} -1.29059i q^{66} +(-2.17304 + 8.10989i) q^{67} +(-10.7832 + 6.22567i) q^{68} +(0.278224 - 0.481898i) q^{69} +(5.93037 - 21.5120i) q^{70} +(-2.13591 + 0.572316i) q^{71} +(-2.44113 - 9.11041i) q^{72} +(2.43968 + 2.43968i) q^{73} +(9.05986 - 15.6921i) q^{74} +(-2.27121 - 3.93385i) q^{75} +(8.28273 - 30.9116i) q^{76} +(0.617503 + 1.08755i) q^{77} +(8.70212 + 4.60234i) q^{78} -11.8014 q^{79} +(44.2876 + 11.8668i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-2.11339 + 3.66049i) q^{82} +(1.80810 - 1.80810i) q^{83} +(10.1307 + 10.2776i) q^{84} +(-1.82510 - 6.81137i) q^{85} +(-11.3386 + 11.3386i) q^{86} +(-6.31515 - 3.64605i) q^{87} +(-3.86103 + 2.22917i) q^{88} +(0.363443 - 1.35639i) q^{89} +8.43409 q^{90} +(-9.53512 + 0.285396i) q^{91} -3.03514 q^{92} +(-1.00629 + 3.75553i) q^{93} +(-21.9100 + 12.6497i) q^{94} +(15.6957 + 9.06194i) q^{95} +(-15.3166 + 15.3166i) q^{96} +(3.25005 + 12.1294i) q^{97} +(-18.3877 - 5.21172i) q^{98} +(-0.334244 + 0.334244i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.706652 + 2.63726i −0.499678 + 1.86482i 0.00239085 + 0.999997i \(0.499239\pi\)
−0.502069 + 0.864828i \(0.667428\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) −4.72373 2.72725i −2.36187 1.36362i
\(5\) 2.18431 2.18431i 0.976853 0.976853i −0.0228851 0.999738i \(-0.507285\pi\)
0.999738 + 0.0228851i \(0.00728519\pi\)
\(6\) 0.706652 + 2.63726i 0.288489 + 1.07666i
\(7\) −1.85732 1.88424i −0.702000 0.712177i
\(8\) 6.66928 6.66928i 2.35795 2.35795i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 4.21705 + 7.30414i 1.33355 + 2.30977i
\(11\) −0.456585 0.122342i −0.137666 0.0368874i 0.189328 0.981914i \(-0.439369\pi\)
−0.326994 + 0.945026i \(0.606036\pi\)
\(12\) −5.45450 −1.57458
\(13\) 2.45314 2.64236i 0.680379 0.732860i
\(14\) 6.28171 3.56673i 1.67886 0.953248i
\(15\) 0.799513 2.98382i 0.206433 0.770420i
\(16\) 7.42128 + 12.8540i 1.85532 + 3.21351i
\(17\) 1.14138 1.97693i 0.276826 0.479477i −0.693768 0.720198i \(-0.744051\pi\)
0.970594 + 0.240722i \(0.0773841\pi\)
\(18\) 1.93061 + 1.93061i 0.455049 + 0.455049i
\(19\) 1.51851 + 5.66717i 0.348371 + 1.30014i 0.888625 + 0.458635i \(0.151661\pi\)
−0.540254 + 0.841502i \(0.681672\pi\)
\(20\) −16.2753 + 4.36094i −3.63926 + 0.975136i
\(21\) −2.55061 0.703143i −0.556588 0.153438i
\(22\) 0.645294 1.11768i 0.137577 0.238291i
\(23\) 0.481898 0.278224i 0.100483 0.0580137i −0.448917 0.893574i \(-0.648190\pi\)
0.549399 + 0.835560i \(0.314857\pi\)
\(24\) 2.44113 9.11041i 0.498293 1.85966i
\(25\) 4.54242i 0.908484i
\(26\) 5.23509 + 8.33681i 1.02668 + 1.63498i
\(27\) 1.00000i 0.192450i
\(28\) 3.63468 + 13.9660i 0.686890 + 2.63933i
\(29\) −3.64605 6.31515i −0.677055 1.17269i −0.975864 0.218381i \(-0.929923\pi\)
0.298809 0.954313i \(-0.403411\pi\)
\(30\) 7.30414 + 4.21705i 1.33355 + 0.769924i
\(31\) −2.74924 + 2.74924i −0.493778 + 0.493778i −0.909494 0.415716i \(-0.863531\pi\)
0.415716 + 0.909494i \(0.363531\pi\)
\(32\) −20.9229 + 5.60626i −3.69867 + 0.991057i
\(33\) −0.456585 + 0.122342i −0.0794813 + 0.0212970i
\(34\) 4.40713 + 4.40713i 0.755816 + 0.755816i
\(35\) −8.17273 0.0588104i −1.38144 0.00994078i
\(36\) −4.72373 + 2.72725i −0.787289 + 0.454542i
\(37\) −6.41041 1.71767i −1.05387 0.282382i −0.310017 0.950731i \(-0.600335\pi\)
−0.743848 + 0.668348i \(0.767002\pi\)
\(38\) −16.0189 −2.59860
\(39\) 0.803302 3.51493i 0.128631 0.562839i
\(40\) 29.1356i 4.60674i
\(41\) 1.49535 + 0.400678i 0.233535 + 0.0625755i 0.373688 0.927554i \(-0.378093\pi\)
−0.140154 + 0.990130i \(0.544760\pi\)
\(42\) 3.65676 6.22973i 0.564250 0.961269i
\(43\) 5.08624 + 2.93654i 0.775644 + 0.447818i 0.834884 0.550426i \(-0.185535\pi\)
−0.0592406 + 0.998244i \(0.518868\pi\)
\(44\) 1.82313 + 1.82313i 0.274848 + 0.274848i
\(45\) −0.799513 2.98382i −0.119184 0.444802i
\(46\) 0.393215 + 1.46750i 0.0579763 + 0.216371i
\(47\) 6.55220 + 6.55220i 0.955736 + 0.955736i 0.999061 0.0433248i \(-0.0137950\pi\)
−0.0433248 + 0.999061i \(0.513795\pi\)
\(48\) 12.8540 + 7.42128i 1.85532 + 1.07117i
\(49\) −0.100738 + 6.99928i −0.0143911 + 0.999896i
\(50\) 11.9795 + 3.20991i 1.69416 + 0.453949i
\(51\) 2.28277i 0.319651i
\(52\) −18.7944 + 5.79150i −2.60631 + 0.803136i
\(53\) 4.17698 0.573753 0.286876 0.957968i \(-0.407383\pi\)
0.286876 + 0.957968i \(0.407383\pi\)
\(54\) 2.63726 + 0.706652i 0.358886 + 0.0961631i
\(55\) −1.26456 + 0.730092i −0.170513 + 0.0984456i
\(56\) −24.9535 0.179564i −3.33456 0.0239953i
\(57\) 4.14865 + 4.14865i 0.549503 + 0.549503i
\(58\) 19.2312 5.15298i 2.52518 0.676619i
\(59\) 14.2781 3.82579i 1.85884 0.498076i 0.858942 0.512072i \(-0.171122\pi\)
0.999902 + 0.0139966i \(0.00445541\pi\)
\(60\) −11.9143 + 11.9143i −1.53813 + 1.53813i
\(61\) −0.553719 0.319690i −0.0708965 0.0409321i 0.464133 0.885766i \(-0.346366\pi\)
−0.535029 + 0.844834i \(0.679699\pi\)
\(62\) −5.30771 9.19322i −0.674079 1.16754i
\(63\) −2.56046 + 0.666364i −0.322588 + 0.0839539i
\(64\) 29.4556i 3.68195i
\(65\) −0.413319 11.1302i −0.0512659 1.38053i
\(66\) 1.29059i 0.158860i
\(67\) −2.17304 + 8.10989i −0.265479 + 0.990780i 0.696478 + 0.717578i \(0.254749\pi\)
−0.961957 + 0.273202i \(0.911917\pi\)
\(68\) −10.7832 + 6.22567i −1.30765 + 0.754973i
\(69\) 0.278224 0.481898i 0.0334942 0.0580137i
\(70\) 5.93037 21.5120i 0.708815 2.57118i
\(71\) −2.13591 + 0.572316i −0.253486 + 0.0679214i −0.383324 0.923614i \(-0.625221\pi\)
0.129838 + 0.991535i \(0.458554\pi\)
\(72\) −2.44113 9.11041i −0.287690 1.07367i
\(73\) 2.43968 + 2.43968i 0.285543 + 0.285543i 0.835315 0.549772i \(-0.185285\pi\)
−0.549772 + 0.835315i \(0.685285\pi\)
\(74\) 9.05986 15.6921i 1.05319 1.82417i
\(75\) −2.27121 3.93385i −0.262257 0.454242i
\(76\) 8.28273 30.9116i 0.950094 3.54580i
\(77\) 0.617503 + 1.08755i 0.0703710 + 0.123937i
\(78\) 8.70212 + 4.60234i 0.985321 + 0.521113i
\(79\) −11.8014 −1.32776 −0.663878 0.747841i \(-0.731091\pi\)
−0.663878 + 0.747841i \(0.731091\pi\)
\(80\) 44.2876 + 11.8668i 4.95150 + 1.32675i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −2.11339 + 3.66049i −0.233384 + 0.404234i
\(83\) 1.80810 1.80810i 0.198465 0.198465i −0.600877 0.799342i \(-0.705182\pi\)
0.799342 + 0.600877i \(0.205182\pi\)
\(84\) 10.1307 + 10.2776i 1.10535 + 1.12138i
\(85\) −1.82510 6.81137i −0.197960 0.738796i
\(86\) −11.3386 + 11.3386i −1.22267 + 1.22267i
\(87\) −6.31515 3.64605i −0.677055 0.390898i
\(88\) −3.86103 + 2.22917i −0.411587 + 0.237630i
\(89\) 0.363443 1.35639i 0.0385248 0.143777i −0.943985 0.329990i \(-0.892955\pi\)
0.982509 + 0.186213i \(0.0596214\pi\)
\(90\) 8.43409 0.889032
\(91\) −9.53512 + 0.285396i −0.999552 + 0.0299177i
\(92\) −3.03514 −0.316436
\(93\) −1.00629 + 3.75553i −0.104348 + 0.389431i
\(94\) −21.9100 + 12.6497i −2.25984 + 1.30472i
\(95\) 15.6957 + 9.06194i 1.61035 + 0.929736i
\(96\) −15.3166 + 15.3166i −1.56324 + 1.56324i
\(97\) 3.25005 + 12.1294i 0.329993 + 1.23155i 0.909197 + 0.416367i \(0.136697\pi\)
−0.579204 + 0.815183i \(0.696636\pi\)
\(98\) −18.3877 5.21172i −1.85744 0.526463i
\(99\) −0.334244 + 0.334244i −0.0335928 + 0.0335928i
\(100\) −12.3883 + 21.4572i −1.23883 + 2.14572i
\(101\) −3.23413 5.60168i −0.321808 0.557388i 0.659053 0.752096i \(-0.270957\pi\)
−0.980861 + 0.194708i \(0.937624\pi\)
\(102\) 6.02025 + 1.61312i 0.596093 + 0.159723i
\(103\) −8.52900 −0.840388 −0.420194 0.907434i \(-0.638038\pi\)
−0.420194 + 0.907434i \(0.638038\pi\)
\(104\) −1.26197 33.9834i −0.123747 3.33235i
\(105\) −7.10719 + 4.03543i −0.693591 + 0.393818i
\(106\) −2.95167 + 11.0158i −0.286692 + 1.06995i
\(107\) 2.34420 + 4.06027i 0.226622 + 0.392521i 0.956805 0.290731i \(-0.0938984\pi\)
−0.730183 + 0.683252i \(0.760565\pi\)
\(108\) −2.72725 + 4.72373i −0.262430 + 0.454542i
\(109\) 3.66100 + 3.66100i 0.350661 + 0.350661i 0.860355 0.509695i \(-0.170242\pi\)
−0.509695 + 0.860355i \(0.670242\pi\)
\(110\) −1.03184 3.85088i −0.0983822 0.367167i
\(111\) −6.41041 + 1.71767i −0.608450 + 0.163034i
\(112\) 10.4364 37.8575i 0.986150 3.57720i
\(113\) −4.41169 + 7.64128i −0.415017 + 0.718831i −0.995430 0.0954914i \(-0.969558\pi\)
0.580413 + 0.814322i \(0.302891\pi\)
\(114\) −13.8727 + 8.00943i −1.29930 + 0.750151i
\(115\) 0.444887 1.66034i 0.0414859 0.154828i
\(116\) 39.7748i 3.69300i
\(117\) −1.06178 3.44567i −0.0981619 0.318552i
\(118\) 40.3584i 3.71530i
\(119\) −5.84493 + 1.52115i −0.535804 + 0.139444i
\(120\) −14.5678 25.2321i −1.32985 2.30337i
\(121\) −9.33278 5.38828i −0.848434 0.489844i
\(122\) 1.23439 1.23439i 0.111757 0.111757i
\(123\) 1.49535 0.400678i 0.134831 0.0361280i
\(124\) 20.4845 5.48882i 1.83957 0.492910i
\(125\) 0.999502 + 0.999502i 0.0893982 + 0.0893982i
\(126\) 0.0519798 7.22349i 0.00463073 0.643520i
\(127\) 8.32452 4.80617i 0.738682 0.426478i −0.0829079 0.996557i \(-0.526421\pi\)
0.821590 + 0.570079i \(0.193087\pi\)
\(128\) 35.8364 + 9.60232i 3.16752 + 0.848734i
\(129\) 5.87308 0.517096
\(130\) 29.6452 + 6.77512i 2.60006 + 0.594218i
\(131\) 15.6056i 1.36346i −0.731602 0.681732i \(-0.761227\pi\)
0.731602 0.681732i \(-0.238773\pi\)
\(132\) 2.49044 + 0.667313i 0.216765 + 0.0580821i
\(133\) 7.85795 13.3870i 0.681371 1.16080i
\(134\) −19.8523 11.4617i −1.71498 0.990143i
\(135\) −2.18431 2.18431i −0.187995 0.187995i
\(136\) −5.57252 20.7969i −0.477840 1.78332i
\(137\) 5.03398 + 18.7871i 0.430082 + 1.60509i 0.752569 + 0.658513i \(0.228814\pi\)
−0.322488 + 0.946574i \(0.604519\pi\)
\(138\) 1.07428 + 1.07428i 0.0914490 + 0.0914490i
\(139\) −4.85118 2.80083i −0.411472 0.237564i 0.279950 0.960015i \(-0.409682\pi\)
−0.691422 + 0.722451i \(0.743015\pi\)
\(140\) 38.4454 + 22.5669i 3.24923 + 1.90725i
\(141\) 8.95047 + 2.39827i 0.753765 + 0.201971i
\(142\) 6.03739i 0.506646i
\(143\) −1.44334 + 0.906344i −0.120698 + 0.0757923i
\(144\) 14.8426 1.23688
\(145\) −21.7583 5.83013i −1.80693 0.484166i
\(146\) −8.15808 + 4.71007i −0.675168 + 0.389808i
\(147\) 3.41240 + 6.11192i 0.281450 + 0.504103i
\(148\) 25.5966 + 25.5966i 2.10403 + 2.10403i
\(149\) −19.1586 + 5.13354i −1.56954 + 0.420556i −0.935667 0.352885i \(-0.885201\pi\)
−0.633869 + 0.773440i \(0.718534\pi\)
\(150\) 11.9795 3.20991i 0.978125 0.262088i
\(151\) 0.637052 0.637052i 0.0518426 0.0518426i −0.680710 0.732553i \(-0.738329\pi\)
0.732553 + 0.680710i \(0.238329\pi\)
\(152\) 47.9233 + 27.6686i 3.88710 + 2.24422i
\(153\) −1.14138 1.97693i −0.0922753 0.159826i
\(154\) −3.30450 + 0.860001i −0.266284 + 0.0693008i
\(155\) 12.0104i 0.964697i
\(156\) −13.3807 + 14.4128i −1.07131 + 1.15395i
\(157\) 0.106383i 0.00849030i −0.999991 0.00424515i \(-0.998649\pi\)
0.999991 0.00424515i \(-0.00135128\pi\)
\(158\) 8.33945 31.1232i 0.663451 2.47603i
\(159\) 3.61738 2.08849i 0.286876 0.165628i
\(160\) −33.4562 + 57.9478i −2.64494 + 4.58118i
\(161\) −1.41928 0.391262i −0.111855 0.0308358i
\(162\) 2.63726 0.706652i 0.207203 0.0555198i
\(163\) 3.70956 + 13.8443i 0.290555 + 1.08437i 0.944684 + 0.327983i \(0.106369\pi\)
−0.654128 + 0.756383i \(0.726964\pi\)
\(164\) −5.97090 5.97090i −0.466249 0.466249i
\(165\) −0.730092 + 1.26456i −0.0568376 + 0.0984456i
\(166\) 3.49074 + 6.04613i 0.270934 + 0.469271i
\(167\) −3.66050 + 13.6612i −0.283258 + 1.05713i 0.666845 + 0.745196i \(0.267644\pi\)
−0.950103 + 0.311936i \(0.899023\pi\)
\(168\) −21.7002 + 12.3213i −1.67420 + 0.950606i
\(169\) −0.964180 12.9642i −0.0741677 0.997246i
\(170\) 19.2531 1.47664
\(171\) 5.66717 + 1.51851i 0.433379 + 0.116124i
\(172\) −16.0173 27.7429i −1.22131 2.11537i
\(173\) −0.208401 + 0.360961i −0.0158444 + 0.0274434i −0.873839 0.486216i \(-0.838377\pi\)
0.857994 + 0.513659i \(0.171710\pi\)
\(174\) 14.0782 14.0782i 1.06727 1.06727i
\(175\) −8.55902 + 8.43671i −0.647001 + 0.637756i
\(176\) −1.81586 6.77690i −0.136876 0.510828i
\(177\) 10.4523 10.4523i 0.785640 0.785640i
\(178\) 3.32032 + 1.91699i 0.248868 + 0.143684i
\(179\) 8.99794 5.19496i 0.672537 0.388290i −0.124500 0.992220i \(-0.539733\pi\)
0.797037 + 0.603930i \(0.206399\pi\)
\(180\) −4.36094 + 16.2753i −0.325045 + 1.21309i
\(181\) 21.4482 1.59423 0.797117 0.603825i \(-0.206357\pi\)
0.797117 + 0.603825i \(0.206357\pi\)
\(182\) 5.98535 25.3483i 0.443663 1.87894i
\(183\) −0.639380 −0.0472643
\(184\) 1.35836 5.06947i 0.100140 0.373726i
\(185\) −17.7542 + 10.2504i −1.30532 + 0.753626i
\(186\) −9.19322 5.30771i −0.674079 0.389180i
\(187\) −0.763000 + 0.763000i −0.0557961 + 0.0557961i
\(188\) −13.0814 48.8203i −0.954057 3.56059i
\(189\) −1.88424 + 1.85732i −0.137058 + 0.135100i
\(190\) −34.9901 + 34.9901i −2.53845 + 2.53845i
\(191\) 0.111216 0.192631i 0.00804729 0.0139383i −0.861974 0.506953i \(-0.830772\pi\)
0.870021 + 0.493015i \(0.164105\pi\)
\(192\) −14.7278 25.5093i −1.06289 1.84098i
\(193\) −1.98209 0.531099i −0.142674 0.0382293i 0.186775 0.982403i \(-0.440196\pi\)
−0.329449 + 0.944173i \(0.606863\pi\)
\(194\) −34.2849 −2.46152
\(195\) −5.92303 9.43235i −0.424157 0.675464i
\(196\) 19.5646 32.7880i 1.39747 2.34200i
\(197\) 3.40878 12.7217i 0.242865 0.906386i −0.731579 0.681757i \(-0.761216\pi\)
0.974444 0.224629i \(-0.0721171\pi\)
\(198\) −0.645294 1.11768i −0.0458590 0.0794302i
\(199\) 1.49318 2.58626i 0.105849 0.183335i −0.808236 0.588859i \(-0.799577\pi\)
0.914085 + 0.405523i \(0.132911\pi\)
\(200\) −30.2947 30.2947i −2.14216 2.14216i
\(201\) 2.17304 + 8.10989i 0.153274 + 0.572027i
\(202\) 17.0585 4.57081i 1.20023 0.321601i
\(203\) −5.12739 + 18.5993i −0.359872 + 1.30541i
\(204\) −6.22567 + 10.7832i −0.435884 + 0.754973i
\(205\) 4.14152 2.39111i 0.289256 0.167002i
\(206\) 6.02704 22.4932i 0.419923 1.56718i
\(207\) 0.556448i 0.0386758i
\(208\) 52.1705 + 11.9231i 3.61737 + 0.826715i
\(209\) 2.77332i 0.191835i
\(210\) −5.62017 21.5952i −0.387829 1.49021i
\(211\) 3.61160 + 6.25548i 0.248633 + 0.430645i 0.963147 0.268976i \(-0.0866853\pi\)
−0.714514 + 0.699621i \(0.753352\pi\)
\(212\) −19.7310 11.3917i −1.35513 0.782384i
\(213\) −1.56360 + 1.56360i −0.107136 + 0.107136i
\(214\) −12.3645 + 3.31306i −0.845222 + 0.226476i
\(215\) 17.5242 4.69560i 1.19514 0.320237i
\(216\) −6.66928 6.66928i −0.453787 0.453787i
\(217\) 10.2864 + 0.0740206i 0.698290 + 0.00502485i
\(218\) −12.2421 + 7.06797i −0.829138 + 0.478703i
\(219\) 3.33267 + 0.892986i 0.225201 + 0.0603424i
\(220\) 7.96457 0.536971
\(221\) −2.42380 7.86565i −0.163043 0.529101i
\(222\) 18.1197i 1.21612i
\(223\) −18.5687 4.97547i −1.24345 0.333182i −0.423649 0.905827i \(-0.639251\pi\)
−0.819804 + 0.572644i \(0.805918\pi\)
\(224\) 49.4240 + 29.0111i 3.30228 + 1.93839i
\(225\) −3.93385 2.27121i −0.262257 0.151414i
\(226\) −17.0345 17.0345i −1.13312 1.13312i
\(227\) 3.99587 + 14.9128i 0.265215 + 0.989797i 0.962118 + 0.272632i \(0.0878941\pi\)
−0.696903 + 0.717165i \(0.745439\pi\)
\(228\) −8.28273 30.9116i −0.548537 2.04717i
\(229\) 8.38486 + 8.38486i 0.554087 + 0.554087i 0.927618 0.373531i \(-0.121853\pi\)
−0.373531 + 0.927618i \(0.621853\pi\)
\(230\) 4.06437 + 2.34657i 0.267997 + 0.154728i
\(231\) 1.07855 + 0.633090i 0.0709631 + 0.0416543i
\(232\) −66.4341 17.8010i −4.36161 1.16869i
\(233\) 19.9540i 1.30723i −0.756828 0.653614i \(-0.773252\pi\)
0.756828 0.653614i \(-0.226748\pi\)
\(234\) 9.83743 0.365313i 0.643093 0.0238812i
\(235\) 28.6241 1.86723
\(236\) −77.8796 20.8678i −5.06953 1.35838i
\(237\) −10.2203 + 5.90068i −0.663878 + 0.383290i
\(238\) 0.118658 16.4895i 0.00769143 1.06886i
\(239\) −5.27726 5.27726i −0.341357 0.341357i 0.515520 0.856877i \(-0.327599\pi\)
−0.856877 + 0.515520i \(0.827599\pi\)
\(240\) 44.2876 11.8668i 2.85875 0.766000i
\(241\) −8.35123 + 2.23771i −0.537950 + 0.144143i −0.517557 0.855649i \(-0.673158\pi\)
−0.0203932 + 0.999792i \(0.506492\pi\)
\(242\) 20.8053 20.8053i 1.33742 1.33742i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 1.74375 + 3.02026i 0.111632 + 0.193352i
\(245\) 15.0685 + 15.5086i 0.962694 + 0.990810i
\(246\) 4.22677i 0.269489i
\(247\) 18.6998 + 9.88990i 1.18984 + 0.629280i
\(248\) 36.6709i 2.32861i
\(249\) 0.661811 2.46991i 0.0419406 0.156524i
\(250\) −3.34225 + 1.92965i −0.211382 + 0.122042i
\(251\) −8.48610 + 14.6984i −0.535638 + 0.927752i 0.463494 + 0.886100i \(0.346595\pi\)
−0.999132 + 0.0416520i \(0.986738\pi\)
\(252\) 13.9123 + 3.83529i 0.876391 + 0.241601i
\(253\) −0.254066 + 0.0680768i −0.0159730 + 0.00427995i
\(254\) 6.79257 + 25.3502i 0.426204 + 1.59061i
\(255\) −4.98627 4.98627i −0.312252 0.312252i
\(256\) −21.1921 + 36.7057i −1.32450 + 2.29411i
\(257\) −3.36830 5.83406i −0.210109 0.363919i 0.741640 0.670798i \(-0.234048\pi\)
−0.951748 + 0.306880i \(0.900715\pi\)
\(258\) −4.15022 + 15.4888i −0.258381 + 0.964293i
\(259\) 8.66968 + 15.2690i 0.538708 + 0.948771i
\(260\) −28.4023 + 53.7032i −1.76144 + 3.33053i
\(261\) −7.29211 −0.451370
\(262\) 41.1559 + 11.0277i 2.54262 + 0.681294i
\(263\) −2.64276 4.57739i −0.162960 0.282254i 0.772969 0.634443i \(-0.218771\pi\)
−0.935929 + 0.352189i \(0.885437\pi\)
\(264\) −2.22917 + 3.86103i −0.137196 + 0.237630i
\(265\) 9.12383 9.12383i 0.560472 0.560472i
\(266\) 29.7521 + 30.1834i 1.82422 + 1.85066i
\(267\) −0.363443 1.35639i −0.0222423 0.0830095i
\(268\) 32.3825 32.3825i 1.97808 1.97808i
\(269\) −2.83734 1.63814i −0.172995 0.0998789i 0.411002 0.911634i \(-0.365179\pi\)
−0.583997 + 0.811755i \(0.698512\pi\)
\(270\) 7.30414 4.21705i 0.444516 0.256641i
\(271\) −3.01677 + 11.2587i −0.183256 + 0.683919i 0.811742 + 0.584017i \(0.198520\pi\)
−0.994997 + 0.0999024i \(0.968147\pi\)
\(272\) 33.8821 2.05440
\(273\) −8.11496 + 5.01472i −0.491140 + 0.303505i
\(274\) −53.1036 −3.20811
\(275\) −0.555727 + 2.07400i −0.0335116 + 0.125067i
\(276\) −2.62851 + 1.51757i −0.158218 + 0.0913471i
\(277\) 3.66204 + 2.11428i 0.220031 + 0.127035i 0.605964 0.795492i \(-0.292787\pi\)
−0.385934 + 0.922526i \(0.626121\pi\)
\(278\) 10.8146 10.8146i 0.648618 0.648618i
\(279\) 1.00629 + 3.75553i 0.0602451 + 0.224838i
\(280\) −54.8985 + 54.1140i −3.28081 + 3.23393i
\(281\) 18.2360 18.2360i 1.08787 1.08787i 0.0921208 0.995748i \(-0.470635\pi\)
0.995748 0.0921208i \(-0.0293646\pi\)
\(282\) −12.6497 + 21.9100i −0.753280 + 1.30472i
\(283\) −1.92179 3.32864i −0.114239 0.197867i 0.803236 0.595660i \(-0.203110\pi\)
−0.917475 + 0.397793i \(0.869776\pi\)
\(284\) 11.6503 + 3.12170i 0.691320 + 0.185239i
\(285\) 18.1239 1.07357
\(286\) −1.37032 4.44693i −0.0810290 0.262953i
\(287\) −2.02237 3.56179i −0.119377 0.210246i
\(288\) −5.60626 + 20.9229i −0.330352 + 1.23289i
\(289\) 5.89449 + 10.2096i 0.346735 + 0.600562i
\(290\) 30.7512 53.2626i 1.80577 3.12768i
\(291\) 8.87931 + 8.87931i 0.520514 + 0.520514i
\(292\) −4.87079 18.1780i −0.285041 1.06379i
\(293\) 28.6306 7.67154i 1.67262 0.448176i 0.706802 0.707412i \(-0.250137\pi\)
0.965814 + 0.259236i \(0.0834707\pi\)
\(294\) −18.5301 + 4.68038i −1.08070 + 0.272965i
\(295\) 22.8310 39.5444i 1.32927 2.30236i
\(296\) −54.2085 + 31.2973i −3.15080 + 1.81912i
\(297\) −0.122342 + 0.456585i −0.00709899 + 0.0264938i
\(298\) 54.1539i 3.13705i
\(299\) 0.446995 1.95587i 0.0258504 0.113111i
\(300\) 24.7766i 1.43048i
\(301\) −3.91361 15.0378i −0.225577 0.866764i
\(302\) 1.22990 + 2.13025i 0.0707727 + 0.122582i
\(303\) −5.60168 3.23413i −0.321808 0.185796i
\(304\) −61.5766 + 61.5766i −3.53166 + 3.53166i
\(305\) −1.90780 + 0.511192i −0.109240 + 0.0292708i
\(306\) 6.02025 1.61312i 0.344155 0.0922159i
\(307\) −20.2018 20.2018i −1.15298 1.15298i −0.985953 0.167023i \(-0.946584\pi\)
−0.167023 0.985953i \(-0.553416\pi\)
\(308\) 0.0490861 6.82136i 0.00279694 0.388683i
\(309\) −7.38633 + 4.26450i −0.420194 + 0.242599i
\(310\) −31.6745 8.48716i −1.79899 0.482038i
\(311\) 24.6309 1.39669 0.698345 0.715762i \(-0.253920\pi\)
0.698345 + 0.715762i \(0.253920\pi\)
\(312\) −18.0846 28.7995i −1.02384 1.63045i
\(313\) 8.19304i 0.463098i −0.972823 0.231549i \(-0.925621\pi\)
0.972823 0.231549i \(-0.0743794\pi\)
\(314\) 0.280560 + 0.0751759i 0.0158329 + 0.00424242i
\(315\) −4.13729 + 7.04838i −0.233110 + 0.397131i
\(316\) 55.7465 + 32.1852i 3.13598 + 1.81056i
\(317\) 6.24432 + 6.24432i 0.350716 + 0.350716i 0.860376 0.509660i \(-0.170229\pi\)
−0.509660 + 0.860376i \(0.670229\pi\)
\(318\) 2.95167 + 11.0158i 0.165522 + 0.617735i
\(319\) 0.892129 + 3.32947i 0.0499496 + 0.186414i
\(320\) −64.3402 64.3402i −3.59672 3.59672i
\(321\) 4.06027 + 2.34420i 0.226622 + 0.130840i
\(322\) 2.03480 3.46652i 0.113395 0.193182i
\(323\) 12.9368 + 3.46641i 0.719823 + 0.192876i
\(324\) 5.45450i 0.303028i
\(325\) −12.0027 11.1432i −0.665791 0.618113i
\(326\) −39.1323 −2.16734
\(327\) 5.00102 + 1.34002i 0.276557 + 0.0741033i
\(328\) 12.6452 7.30069i 0.698213 0.403113i
\(329\) 0.176412 24.5154i 0.00972589 1.35158i
\(330\) −2.81904 2.81904i −0.155183 0.155183i
\(331\) −28.6185 + 7.66830i −1.57301 + 0.421488i −0.936755 0.349987i \(-0.886186\pi\)
−0.636260 + 0.771475i \(0.719519\pi\)
\(332\) −13.4721 + 3.60985i −0.739379 + 0.198116i
\(333\) −4.69275 + 4.69275i −0.257161 + 0.257161i
\(334\) −33.4413 19.3074i −1.82983 1.05645i
\(335\) 12.9679 + 22.4611i 0.708513 + 1.22718i
\(336\) −9.89054 38.0038i −0.539573 2.07328i
\(337\) 24.6356i 1.34198i 0.741464 + 0.670992i \(0.234132\pi\)
−0.741464 + 0.670992i \(0.765868\pi\)
\(338\) 34.8713 + 6.61838i 1.89675 + 0.359992i
\(339\) 8.82339i 0.479221i
\(340\) −9.95501 + 37.1526i −0.539886 + 2.01488i
\(341\) 1.59161 0.918916i 0.0861905 0.0497621i
\(342\) −8.00943 + 13.8727i −0.433100 + 0.750151i
\(343\) 13.3754 12.8101i 0.722205 0.691679i
\(344\) 53.5062 14.3369i 2.88486 0.772996i
\(345\) −0.444887 1.66034i −0.0239519 0.0893898i
\(346\) −0.804681 0.804681i −0.0432599 0.0432599i
\(347\) −6.69623 + 11.5982i −0.359472 + 0.622624i −0.987873 0.155266i \(-0.950377\pi\)
0.628401 + 0.777890i \(0.283710\pi\)
\(348\) 19.8874 + 34.4460i 1.06608 + 1.84650i
\(349\) 2.72247 10.1604i 0.145730 0.543874i −0.853991 0.520287i \(-0.825825\pi\)
0.999722 0.0235863i \(-0.00750846\pi\)
\(350\) −16.2016 28.5342i −0.866010 1.52522i
\(351\) −2.64236 2.45314i −0.141039 0.130939i
\(352\) 10.2390 0.545738
\(353\) 14.9904 + 4.01667i 0.797859 + 0.213786i 0.634644 0.772805i \(-0.281147\pi\)
0.163215 + 0.986590i \(0.447813\pi\)
\(354\) 20.1792 + 34.9514i 1.07251 + 1.85765i
\(355\) −3.41538 + 5.91561i −0.181270 + 0.313968i
\(356\) −5.41601 + 5.41601i −0.287048 + 0.287048i
\(357\) −4.30128 + 4.23982i −0.227648 + 0.224395i
\(358\) 7.34206 + 27.4009i 0.388040 + 1.44818i
\(359\) −7.20920 + 7.20920i −0.380487 + 0.380487i −0.871278 0.490791i \(-0.836708\pi\)
0.490791 + 0.871278i \(0.336708\pi\)
\(360\) −25.2321 14.5678i −1.32985 0.767790i
\(361\) −13.3564 + 7.71133i −0.702969 + 0.405859i
\(362\) −15.1564 + 56.5645i −0.796604 + 2.97297i
\(363\) −10.7766 −0.565623
\(364\) 45.8197 + 24.6565i 2.40161 + 1.29235i
\(365\) 10.6580 0.557868
\(366\) 0.451819 1.68621i 0.0236169 0.0881397i
\(367\) −13.1818 + 7.61053i −0.688085 + 0.397266i −0.802894 0.596121i \(-0.796708\pi\)
0.114809 + 0.993388i \(0.463374\pi\)
\(368\) 7.15260 + 4.12955i 0.372855 + 0.215268i
\(369\) 1.09467 1.09467i 0.0569864 0.0569864i
\(370\) −14.4870 54.0660i −0.753141 2.81076i
\(371\) −7.75799 7.87045i −0.402775 0.408613i
\(372\) 14.9957 14.9957i 0.777492 0.777492i
\(373\) 16.3260 28.2774i 0.845326 1.46415i −0.0400122 0.999199i \(-0.512740\pi\)
0.885338 0.464948i \(-0.153927\pi\)
\(374\) −1.47305 2.55141i −0.0761698 0.131930i
\(375\) 1.36534 + 0.365843i 0.0705061 + 0.0188921i
\(376\) 87.3969 4.50715
\(377\) −25.6312 5.85776i −1.32007 0.301690i
\(378\) −3.56673 6.28171i −0.183453 0.323097i
\(379\) 6.47610 24.1691i 0.332655 1.24149i −0.573734 0.819042i \(-0.694506\pi\)
0.906389 0.422444i \(-0.138828\pi\)
\(380\) −49.4284 85.6124i −2.53562 4.39183i
\(381\) 4.80617 8.32452i 0.246227 0.426478i
\(382\) 0.429428 + 0.429428i 0.0219714 + 0.0219714i
\(383\) 4.70967 + 17.5767i 0.240653 + 0.898129i 0.975519 + 0.219917i \(0.0705785\pi\)
−0.734866 + 0.678213i \(0.762755\pi\)
\(384\) 35.8364 9.60232i 1.82877 0.490017i
\(385\) 3.72435 + 1.02672i 0.189811 + 0.0523264i
\(386\) 2.80129 4.85198i 0.142582 0.246959i
\(387\) 5.08624 2.93654i 0.258548 0.149273i
\(388\) 17.7274 66.1596i 0.899973 3.35874i
\(389\) 6.12739i 0.310671i 0.987862 + 0.155336i \(0.0496459\pi\)
−0.987862 + 0.155336i \(0.950354\pi\)
\(390\) 29.0611 8.95518i 1.47156 0.453463i
\(391\) 1.27024i 0.0642388i
\(392\) 46.0083 + 47.3520i 2.32377 + 2.39164i
\(393\) −7.80278 13.5148i −0.393598 0.681732i
\(394\) 31.1417 + 17.9797i 1.56890 + 0.905803i
\(395\) −25.7778 + 25.7778i −1.29702 + 1.29702i
\(396\) 2.49044 0.667313i 0.125150 0.0335337i
\(397\) −12.7566 + 3.41813i −0.640237 + 0.171551i −0.564311 0.825563i \(-0.690858\pi\)
−0.0759261 + 0.997113i \(0.524191\pi\)
\(398\) 5.76549 + 5.76549i 0.288998 + 0.288998i
\(399\) 0.111698 15.5224i 0.00559192 0.777094i
\(400\) 58.3884 33.7105i 2.91942 1.68553i
\(401\) −4.95448 1.32755i −0.247415 0.0662946i 0.132980 0.991119i \(-0.457545\pi\)
−0.380395 + 0.924824i \(0.624212\pi\)
\(402\) −22.9235 −1.14332
\(403\) 0.520216 + 14.0088i 0.0259138 + 0.697827i
\(404\) 35.2811i 1.75530i
\(405\) −2.98382 0.799513i −0.148267 0.0397281i
\(406\) −45.4279 26.6655i −2.25455 1.32339i
\(407\) 2.71676 + 1.56852i 0.134665 + 0.0777488i
\(408\) −15.2244 15.2244i −0.753721 0.753721i
\(409\) 4.13326 + 15.4255i 0.204377 + 0.762744i 0.989639 + 0.143580i \(0.0458616\pi\)
−0.785262 + 0.619164i \(0.787472\pi\)
\(410\) 3.37936 + 12.6119i 0.166895 + 0.622859i
\(411\) 13.7531 + 13.7531i 0.678389 + 0.678389i
\(412\) 40.2887 + 23.2607i 1.98488 + 1.14597i
\(413\) −33.7276 19.7976i −1.65963 0.974176i
\(414\) 1.46750 + 0.393215i 0.0721236 + 0.0193254i
\(415\) 7.89891i 0.387742i
\(416\) −36.5130 + 69.0388i −1.79020 + 3.38491i
\(417\) −5.60167 −0.274315
\(418\) 7.31398 + 1.95977i 0.357738 + 0.0958557i
\(419\) −12.6468 + 7.30162i −0.617836 + 0.356708i −0.776026 0.630701i \(-0.782767\pi\)
0.158190 + 0.987409i \(0.449434\pi\)
\(420\) 44.5781 + 0.320781i 2.17519 + 0.0156525i
\(421\) 2.04328 + 2.04328i 0.0995835 + 0.0995835i 0.755143 0.655560i \(-0.227567\pi\)
−0.655560 + 0.755143i \(0.727567\pi\)
\(422\) −19.0495 + 5.10429i −0.927314 + 0.248473i
\(423\) 8.95047 2.39827i 0.435187 0.116608i
\(424\) 27.8575 27.8575i 1.35288 1.35288i
\(425\) −8.98005 5.18464i −0.435597 0.251492i
\(426\) −3.01869 5.22853i −0.146256 0.253323i
\(427\) 0.426059 + 1.63711i 0.0206185 + 0.0792251i
\(428\) 25.5729i 1.23611i
\(429\) −0.796798 + 1.50659i −0.0384698 + 0.0727387i
\(430\) 49.5341i 2.38875i
\(431\) 2.83206 10.5694i 0.136416 0.509110i −0.863572 0.504225i \(-0.831778\pi\)
0.999988 0.00488525i \(-0.00155503\pi\)
\(432\) 12.8540 7.42128i 0.618440 0.357056i
\(433\) 17.9201 31.0385i 0.861184 1.49161i −0.00960365 0.999954i \(-0.503057\pi\)
0.870787 0.491660i \(-0.163610\pi\)
\(434\) −7.46415 + 27.0757i −0.358291 + 1.29968i
\(435\) −21.7583 + 5.83013i −1.04323 + 0.279533i
\(436\) −7.30914 27.2781i −0.350044 1.30638i
\(437\) 2.30851 + 2.30851i 0.110431 + 0.110431i
\(438\) −4.71007 + 8.15808i −0.225056 + 0.389808i
\(439\) −0.772225 1.33753i −0.0368563 0.0638369i 0.847009 0.531579i \(-0.178401\pi\)
−0.883865 + 0.467742i \(0.845068\pi\)
\(440\) −3.56449 + 13.3029i −0.169931 + 0.634190i
\(441\) 6.01118 + 3.58688i 0.286247 + 0.170804i
\(442\) 22.4565 0.833923i 1.06815 0.0396657i
\(443\) −16.1657 −0.768055 −0.384027 0.923322i \(-0.625463\pi\)
−0.384027 + 0.923322i \(0.625463\pi\)
\(444\) 34.9656 + 9.36900i 1.65939 + 0.444633i
\(445\) −2.16890 3.75664i −0.102816 0.178082i
\(446\) 26.2432 45.4546i 1.24265 2.15234i
\(447\) −14.0251 + 14.0251i −0.663364 + 0.663364i
\(448\) −55.5015 + 54.7084i −2.62220 + 2.58473i
\(449\) −3.96795 14.8086i −0.187259 0.698861i −0.994136 0.108140i \(-0.965510\pi\)
0.806876 0.590720i \(-0.201156\pi\)
\(450\) 8.76963 8.76963i 0.413404 0.413404i
\(451\) −0.633736 0.365888i −0.0298415 0.0172290i
\(452\) 41.6793 24.0636i 1.96043 1.13186i
\(453\) 0.233177 0.870230i 0.0109556 0.0408870i
\(454\) −42.1526 −1.97832
\(455\) −20.2043 + 21.4511i −0.947191 + 1.00564i
\(456\) 55.3371 2.59140
\(457\) −7.14198 + 26.6542i −0.334088 + 1.24683i 0.570767 + 0.821112i \(0.306646\pi\)
−0.904855 + 0.425720i \(0.860021\pi\)
\(458\) −28.0382 + 16.1879i −1.31014 + 0.756410i
\(459\) −1.97693 1.14138i −0.0922753 0.0532752i
\(460\) −6.62969 + 6.62969i −0.309111 + 0.309111i
\(461\) 0.630674 + 2.35371i 0.0293734 + 0.109623i 0.979056 0.203590i \(-0.0652611\pi\)
−0.949683 + 0.313214i \(0.898594\pi\)
\(462\) −2.43178 + 2.39703i −0.113137 + 0.111520i
\(463\) −15.9059 + 15.9059i −0.739208 + 0.739208i −0.972425 0.233216i \(-0.925075\pi\)
0.233216 + 0.972425i \(0.425075\pi\)
\(464\) 54.1167 93.7330i 2.51231 4.35144i
\(465\) 6.00519 + 10.4013i 0.278484 + 0.482349i
\(466\) 52.6238 + 14.1005i 2.43775 + 0.653193i
\(467\) 6.66294 0.308324 0.154162 0.988046i \(-0.450732\pi\)
0.154162 + 0.988046i \(0.450732\pi\)
\(468\) −4.38161 + 19.1722i −0.202540 + 0.886233i
\(469\) 19.3170 10.9681i 0.891977 0.506460i
\(470\) −20.2272 + 75.4891i −0.933013 + 3.48205i
\(471\) −0.0531916 0.0921305i −0.00245094 0.00424515i
\(472\) 69.7091 120.740i 3.20862 5.55750i
\(473\) −1.96304 1.96304i −0.0902607 0.0902607i
\(474\) −8.33945 31.1232i −0.383044 1.42954i
\(475\) 25.7426 6.89772i 1.18115 0.316489i
\(476\) 31.7585 + 8.75507i 1.45565 + 0.401288i
\(477\) 2.08849 3.61738i 0.0956255 0.165628i
\(478\) 17.6467 10.1883i 0.807140 0.466003i
\(479\) 5.91010 22.0568i 0.270039 1.00780i −0.689054 0.724710i \(-0.741974\pi\)
0.959093 0.283090i \(-0.0913596\pi\)
\(480\) 66.9124i 3.05412i
\(481\) −20.2644 + 12.7250i −0.923975 + 0.580209i
\(482\) 23.6057i 1.07521i
\(483\) −1.42476 + 0.370797i −0.0648289 + 0.0168718i
\(484\) 29.3904 + 50.9056i 1.33593 + 2.31389i
\(485\) 33.5934 + 19.3952i 1.52540 + 0.880689i
\(486\) 1.93061 1.93061i 0.0875742 0.0875742i
\(487\) 12.0330 3.22424i 0.545269 0.146104i 0.0243387 0.999704i \(-0.492252\pi\)
0.520930 + 0.853600i \(0.325585\pi\)
\(488\) −5.82501 + 1.56081i −0.263686 + 0.0706544i
\(489\) 10.1347 + 10.1347i 0.458307 + 0.458307i
\(490\) −51.5485 + 28.7805i −2.32872 + 1.30017i
\(491\) −16.7889 + 9.69310i −0.757674 + 0.437443i −0.828460 0.560048i \(-0.810783\pi\)
0.0707859 + 0.997492i \(0.477449\pi\)
\(492\) −8.15640 2.18550i −0.367719 0.0985299i
\(493\) −16.6462 −0.749706
\(494\) −39.2965 + 42.3276i −1.76803 + 1.90441i
\(495\) 1.46018i 0.0656304i
\(496\) −55.7417 14.9359i −2.50288 0.670644i
\(497\) 5.04545 + 2.96160i 0.226319 + 0.132846i
\(498\) 6.04613 + 3.49074i 0.270934 + 0.156424i
\(499\) −24.6585 24.6585i −1.10386 1.10386i −0.993940 0.109925i \(-0.964939\pi\)
−0.109925 0.993940i \(-0.535061\pi\)
\(500\) −1.99549 7.44727i −0.0892410 0.333052i
\(501\) 3.66050 + 13.6612i 0.163539 + 0.610335i
\(502\) −32.7667 32.7667i −1.46245 1.46245i
\(503\) −27.3019 15.7627i −1.21733 0.702826i −0.252984 0.967470i \(-0.581412\pi\)
−0.964346 + 0.264644i \(0.914745\pi\)
\(504\) −12.6323 + 21.5206i −0.562686 + 0.958604i
\(505\) −19.3001 5.17146i −0.858845 0.230127i
\(506\) 0.718145i 0.0319254i
\(507\) −7.31710 10.7452i −0.324964 0.477213i
\(508\) −52.4305 −2.32623
\(509\) 3.80510 + 1.01957i 0.168658 + 0.0451918i 0.342160 0.939642i \(-0.388842\pi\)
−0.173502 + 0.984834i \(0.555508\pi\)
\(510\) 16.6736 9.62653i 0.738321 0.426270i
\(511\) 0.0656861 9.12822i 0.00290578 0.403809i
\(512\) −29.3590 29.3590i −1.29750 1.29750i
\(513\) 5.66717 1.51851i 0.250212 0.0670440i
\(514\) 17.7662 4.76043i 0.783632 0.209973i
\(515\) −18.6300 + 18.6300i −0.820935 + 0.820935i
\(516\) −27.7429 16.0173i −1.22131 0.705124i
\(517\) −2.19003 3.79325i −0.0963175 0.166827i
\(518\) −46.3948 + 12.0743i −2.03847 + 0.530515i
\(519\) 0.416802i 0.0182956i
\(520\) −76.9868 71.4737i −3.37609 3.13433i
\(521\) 7.46834i 0.327194i −0.986527 0.163597i \(-0.947690\pi\)
0.986527 0.163597i \(-0.0523097\pi\)
\(522\) 5.15298 19.2312i 0.225540 0.841726i
\(523\) −10.8561 + 6.26775i −0.474703 + 0.274070i −0.718206 0.695830i \(-0.755037\pi\)
0.243504 + 0.969900i \(0.421703\pi\)
\(524\) −42.5603 + 73.7166i −1.85925 + 3.22032i
\(525\) −3.19397 + 11.5859i −0.139396 + 0.505651i
\(526\) 13.9393 3.73502i 0.607782 0.162855i
\(527\) 2.29713 + 8.57300i 0.100064 + 0.373446i
\(528\) −4.96103 4.96103i −0.215901 0.215901i
\(529\) −11.3452 + 19.6504i −0.493269 + 0.854367i
\(530\) 17.6145 + 30.5093i 0.765127 + 1.32524i
\(531\) 3.82579 14.2781i 0.166025 0.619615i
\(532\) −73.6285 + 41.8059i −3.19220 + 1.81252i
\(533\) 4.72705 2.96834i 0.204751 0.128573i
\(534\) 3.83397 0.165912
\(535\) 13.9893 + 3.74843i 0.604812 + 0.162059i
\(536\) 39.5945 + 68.5797i 1.71022 + 2.96219i
\(537\) 5.19496 8.99794i 0.224179 0.388290i
\(538\) 6.32520 6.32520i 0.272699 0.272699i
\(539\) 0.902299 3.18344i 0.0388648 0.137121i
\(540\) 4.36094 + 16.2753i 0.187665 + 0.700375i
\(541\) −2.43106 + 2.43106i −0.104519 + 0.104519i −0.757433 0.652913i \(-0.773547\pi\)
0.652913 + 0.757433i \(0.273547\pi\)
\(542\) −27.5604 15.9120i −1.18382 0.683479i
\(543\) 18.5747 10.7241i 0.797117 0.460216i
\(544\) −12.7978 + 47.7620i −0.548701 + 2.04778i
\(545\) 15.9935 0.685088
\(546\) −7.49067 24.9449i −0.320571 1.06754i
\(547\) 28.6604 1.22543 0.612716 0.790303i \(-0.290077\pi\)
0.612716 + 0.790303i \(0.290077\pi\)
\(548\) 27.4578 102.474i 1.17294 4.37747i
\(549\) −0.553719 + 0.319690i −0.0236322 + 0.0136440i
\(550\) −5.07698 2.93119i −0.216483 0.124987i
\(551\) 30.2524 30.2524i 1.28880 1.28880i
\(552\) −1.35836 5.06947i −0.0578156 0.215771i
\(553\) 21.9189 + 22.2366i 0.932085 + 0.945597i
\(554\) −8.16369 + 8.16369i −0.346842 + 0.346842i
\(555\) −10.2504 + 17.7542i −0.435106 + 0.753626i
\(556\) 15.2771 + 26.4608i 0.647895 + 1.12219i
\(557\) −40.3737 10.8181i −1.71069 0.458378i −0.735097 0.677962i \(-0.762863\pi\)
−0.975594 + 0.219584i \(0.929530\pi\)
\(558\) −10.6154 −0.449386
\(559\) 20.2367 6.23594i 0.855920 0.263752i
\(560\) −59.8961 105.489i −2.53107 4.45772i
\(561\) −0.279277 + 1.04228i −0.0117911 + 0.0440050i
\(562\) 35.2066 + 60.9796i 1.48510 + 2.57227i
\(563\) −12.8281 + 22.2190i −0.540641 + 0.936418i 0.458226 + 0.888836i \(0.348485\pi\)
−0.998867 + 0.0475822i \(0.984848\pi\)
\(564\) −35.7390 35.7390i −1.50488 1.50488i
\(565\) 7.05441 + 26.3274i 0.296781 + 1.10760i
\(566\) 10.1365 2.71608i 0.426070 0.114165i
\(567\) −0.703143 + 2.55061i −0.0295292 + 0.107115i
\(568\) −10.4281 + 18.0620i −0.437552 + 0.757863i
\(569\) 20.8100 12.0147i 0.872401 0.503681i 0.00425579 0.999991i \(-0.498645\pi\)
0.868145 + 0.496310i \(0.165312\pi\)
\(570\) −12.8073 + 47.7974i −0.536438 + 2.00201i
\(571\) 9.57728i 0.400797i 0.979714 + 0.200398i \(0.0642236\pi\)
−0.979714 + 0.200398i \(0.935776\pi\)
\(572\) 9.28978 0.344976i 0.388425 0.0144242i
\(573\) 0.222431i 0.00929220i
\(574\) 10.8225 2.81657i 0.451722 0.117561i
\(575\) −1.26381 2.18898i −0.0527045 0.0912868i
\(576\) −25.5093 14.7278i −1.06289 0.613658i
\(577\) 31.4027 31.4027i 1.30731 1.30731i 0.383966 0.923347i \(-0.374558\pi\)
0.923347 0.383966i \(-0.125442\pi\)
\(578\) −31.0906 + 8.33071i −1.29320 + 0.346512i
\(579\) −1.98209 + 0.531099i −0.0823728 + 0.0220717i
\(580\) 86.8804 + 86.8804i 3.60751 + 3.60751i
\(581\) −6.76512 0.0486814i −0.280664 0.00201964i
\(582\) −29.6916 + 17.1425i −1.23076 + 0.710578i
\(583\) −1.90715 0.511019i −0.0789861 0.0211643i
\(584\) 32.5419 1.34659
\(585\) −9.84567 5.20714i −0.407068 0.215289i
\(586\) 80.9274i 3.34308i
\(587\) −6.09066 1.63199i −0.251388 0.0673593i 0.130924 0.991392i \(-0.458206\pi\)
−0.382312 + 0.924033i \(0.624872\pi\)
\(588\) 0.549475 38.1775i 0.0226600 1.57442i
\(589\) −19.7552 11.4056i −0.813997 0.469961i
\(590\) 88.1553 + 88.1553i 3.62930 + 3.62930i
\(591\) −3.40878 12.7217i −0.140218 0.523302i
\(592\) −25.4945 95.1470i −1.04782 3.91052i
\(593\) −27.7021 27.7021i −1.13759 1.13759i −0.988881 0.148708i \(-0.952489\pi\)
−0.148708 0.988881i \(-0.547511\pi\)
\(594\) −1.11768 0.645294i −0.0458590 0.0264767i
\(595\) −9.44447 + 16.0898i −0.387186 + 0.659618i
\(596\) 104.501 + 28.0009i 4.28052 + 1.14696i
\(597\) 2.98636i 0.122224i
\(598\) 4.84227 + 2.56096i 0.198015 + 0.104726i
\(599\) 3.79502 0.155060 0.0775301 0.996990i \(-0.475297\pi\)
0.0775301 + 0.996990i \(0.475297\pi\)
\(600\) −41.3833 11.0886i −1.68947 0.452691i
\(601\) −28.0748 + 16.2090i −1.14520 + 0.661180i −0.947712 0.319126i \(-0.896611\pi\)
−0.197485 + 0.980306i \(0.563277\pi\)
\(602\) 42.4241 + 0.305281i 1.72908 + 0.0124423i
\(603\) 5.93685 + 5.93685i 0.241767 + 0.241767i
\(604\) −4.74667 + 1.27187i −0.193139 + 0.0517515i
\(605\) −32.1553 + 8.61600i −1.30730 + 0.350290i
\(606\) 12.4877 12.4877i 0.507277 0.507277i
\(607\) −7.81574 4.51242i −0.317231 0.183154i 0.332927 0.942953i \(-0.391964\pi\)
−0.650158 + 0.759799i \(0.725297\pi\)
\(608\) −63.5433 110.060i −2.57702 4.46353i
\(609\) 4.85919 + 18.6712i 0.196904 + 0.756593i
\(610\) 5.39259i 0.218340i
\(611\) 33.3868 1.23982i 1.35068 0.0501576i
\(612\) 12.4513i 0.503316i
\(613\) −6.48271 + 24.1938i −0.261834 + 0.977179i 0.702325 + 0.711856i \(0.252145\pi\)
−0.964160 + 0.265323i \(0.914521\pi\)
\(614\) 67.5530 39.0017i 2.72622 1.57398i
\(615\) 2.39111 4.14152i 0.0964187 0.167002i
\(616\) 11.3715 + 3.13484i 0.458169 + 0.126306i
\(617\) 22.1083 5.92389i 0.890045 0.238487i 0.215309 0.976546i \(-0.430924\pi\)
0.674736 + 0.738059i \(0.264257\pi\)
\(618\) −6.02704 22.4932i −0.242443 0.904809i
\(619\) −27.9275 27.9275i −1.12250 1.12250i −0.991365 0.131135i \(-0.958138\pi\)
−0.131135 0.991365i \(-0.541862\pi\)
\(620\) 32.7553 56.7339i 1.31549 2.27849i
\(621\) −0.278224 0.481898i −0.0111647 0.0193379i
\(622\) −17.4055 + 64.9581i −0.697895 + 2.60458i
\(623\) −3.23079 + 1.83443i −0.129439 + 0.0734948i
\(624\) 51.1425 15.7596i 2.04734 0.630888i
\(625\) 27.0785 1.08314
\(626\) 21.6072 + 5.78963i 0.863597 + 0.231400i
\(627\) −1.38666 2.40177i −0.0553779 0.0959174i
\(628\) −0.290133 + 0.502526i −0.0115776 + 0.0200530i
\(629\) −10.7124 + 10.7124i −0.427133 + 0.427133i
\(630\) −15.6648 15.8919i −0.624100 0.633148i
\(631\) −12.1764 45.4430i −0.484736 1.80906i −0.581248 0.813726i \(-0.697435\pi\)
0.0965126 0.995332i \(-0.469231\pi\)
\(632\) −78.7066 + 78.7066i −3.13078 + 3.13078i
\(633\) 6.25548 + 3.61160i 0.248633 + 0.143548i
\(634\) −20.8805 + 12.0553i −0.829269 + 0.478779i
\(635\) 7.68518 28.6815i 0.304977 1.13819i
\(636\) −22.7834 −0.903419
\(637\) 18.2475 + 17.4364i 0.722993 + 0.690856i
\(638\) −9.41110 −0.372589
\(639\) −0.572316 + 2.13591i −0.0226405 + 0.0844954i
\(640\) 99.2522 57.3033i 3.92329 2.26511i
\(641\) −2.21029 1.27611i −0.0873011 0.0504033i 0.455714 0.890126i \(-0.349384\pi\)
−0.543015 + 0.839723i \(0.682717\pi\)
\(642\) −9.05146 + 9.05146i −0.357233 + 0.357233i
\(643\) 7.09734 + 26.4876i 0.279892 + 1.04457i 0.952492 + 0.304564i \(0.0985107\pi\)
−0.672600 + 0.740006i \(0.734823\pi\)
\(644\) 5.63723 + 5.71894i 0.222138 + 0.225358i
\(645\) 12.8286 12.8286i 0.505127 0.505127i
\(646\) −18.2836 + 31.6682i −0.719360 + 1.24597i
\(647\) 2.97944 + 5.16054i 0.117134 + 0.202882i 0.918631 0.395117i \(-0.129296\pi\)
−0.801497 + 0.597999i \(0.795963\pi\)
\(648\) −9.11041 2.44113i −0.357891 0.0958965i
\(649\) −6.98721 −0.274272
\(650\) 37.8693 23.7799i 1.48535 0.932726i
\(651\) 8.94534 5.07912i 0.350595 0.199066i
\(652\) 20.2338 75.5135i 0.792416 2.95734i
\(653\) −9.88229 17.1166i −0.386724 0.669825i 0.605283 0.796010i \(-0.293060\pi\)
−0.992007 + 0.126185i \(0.959727\pi\)
\(654\) −7.06797 + 12.2421i −0.276379 + 0.478703i
\(655\) −34.0874 34.0874i −1.33190 1.33190i
\(656\) 5.94709 + 22.1949i 0.232195 + 0.866563i
\(657\) 3.33267 0.892986i 0.130020 0.0348387i
\(658\) 64.5289 + 17.7891i 2.51560 + 0.693492i
\(659\) 0.623376 1.07972i 0.0242833 0.0420599i −0.853628 0.520882i \(-0.825603\pi\)
0.877912 + 0.478823i \(0.158936\pi\)
\(660\) 6.89752 3.98229i 0.268486 0.155010i
\(661\) 6.22445 23.2300i 0.242103 0.903541i −0.732714 0.680536i \(-0.761747\pi\)
0.974817 0.223004i \(-0.0715864\pi\)
\(662\) 80.8932i 3.14400i
\(663\) −6.03190 5.59995i −0.234260 0.217484i
\(664\) 24.1175i 0.935940i
\(665\) −12.0771 46.4055i −0.468330 1.79953i
\(666\) −9.05986 15.6921i −0.351063 0.608058i
\(667\) −3.51405 2.02884i −0.136065 0.0785569i
\(668\) 54.5486 54.5486i 2.11055 2.11055i
\(669\) −18.5687 + 4.97547i −0.717908 + 0.192363i
\(670\) −68.3995 + 18.3276i −2.64250 + 0.708057i
\(671\) 0.213709 + 0.213709i 0.00825013 + 0.00825013i
\(672\) 57.3080 + 0.412385i 2.21070 + 0.0159081i
\(673\) −43.6649 + 25.2100i −1.68316 + 0.971772i −0.723619 + 0.690199i \(0.757523\pi\)
−0.959540 + 0.281573i \(0.909144\pi\)
\(674\) −64.9704 17.4088i −2.50257 0.670561i
\(675\) −4.54242 −0.174838
\(676\) −30.8021 + 63.8690i −1.18469 + 2.45650i
\(677\) 30.3365i 1.16593i 0.812498 + 0.582964i \(0.198107\pi\)
−0.812498 + 0.582964i \(0.801893\pi\)
\(678\) −23.2696 6.23506i −0.893662 0.239456i
\(679\) 16.8183 28.6520i 0.645426 1.09956i
\(680\) −57.5991 33.2548i −2.20882 1.27526i
\(681\) 10.9169 + 10.9169i 0.418338 + 0.418338i
\(682\) 1.29871 + 4.84684i 0.0497301 + 0.185595i
\(683\) −6.38263 23.8203i −0.244224 0.911458i −0.973772 0.227528i \(-0.926936\pi\)
0.729547 0.683930i \(-0.239731\pi\)
\(684\) −22.6288 22.6288i −0.865235 0.865235i
\(685\) 52.0325 + 30.0410i 1.98806 + 1.14781i
\(686\) 24.3317 + 44.3268i 0.928989 + 1.69240i
\(687\) 11.4539 + 3.06907i 0.436995 + 0.117092i
\(688\) 87.1715i 3.32338i
\(689\) 10.2467 11.0371i 0.390370 0.420481i
\(690\) 4.69313 0.178664
\(691\) −40.1209 10.7504i −1.52627 0.408963i −0.604470 0.796628i \(-0.706615\pi\)
−0.921800 + 0.387666i \(0.873282\pi\)
\(692\) 1.96886 1.13672i 0.0748449 0.0432117i
\(693\) 1.25059 + 0.00899919i 0.0475061 + 0.000341851i
\(694\) −25.8556 25.8556i −0.981464 0.981464i
\(695\) −16.7144 + 4.47860i −0.634012 + 0.169883i
\(696\) −66.4341 + 17.8010i −2.51818 + 0.674744i
\(697\) 2.49888 2.49888i 0.0946519 0.0946519i
\(698\) 24.8718 + 14.3597i 0.941411 + 0.543524i
\(699\) −9.97698 17.2806i −0.377364 0.653614i
\(700\) 63.4395 16.5102i 2.39779 0.624028i
\(701\) 1.87133i 0.0706790i −0.999375 0.0353395i \(-0.988749\pi\)
0.999375 0.0353395i \(-0.0112513\pi\)
\(702\) 8.33681 5.23509i 0.314653 0.197586i
\(703\) 38.9372i 1.46854i
\(704\) −3.60365 + 13.4490i −0.135818 + 0.506878i
\(705\) 24.7892 14.3120i 0.933614 0.539022i
\(706\) −21.1860 + 36.6952i −0.797346 + 1.38104i
\(707\) −4.54811 + 16.4980i −0.171049 + 0.620471i
\(708\) −77.8796 + 20.8678i −2.92690 + 0.784259i
\(709\) −1.15519 4.31123i −0.0433841 0.161912i 0.940835 0.338864i \(-0.110043\pi\)
−0.984219 + 0.176953i \(0.943376\pi\)
\(710\) −13.1875 13.1875i −0.494919 0.494919i
\(711\) −5.90068 + 10.2203i −0.221293 + 0.383290i
\(712\) −6.62222 11.4700i −0.248178 0.429858i
\(713\) −0.559949 + 2.08976i −0.0209702 + 0.0782620i
\(714\) −8.14200 14.3397i −0.304707 0.536649i
\(715\) −1.17297 + 5.13244i −0.0438665 + 0.191942i
\(716\) −56.6718 −2.11793
\(717\) −7.20887 1.93161i −0.269220 0.0721373i
\(718\) −13.9181 24.1069i −0.519421 0.899663i
\(719\) −9.74009 + 16.8703i −0.363244 + 0.629157i −0.988493 0.151269i \(-0.951664\pi\)
0.625249 + 0.780426i \(0.284998\pi\)
\(720\) 32.4207 32.4207i 1.20825 1.20825i
\(721\) 15.8411 + 16.0707i 0.589952 + 0.598504i
\(722\) −10.8984 40.6736i −0.405598 1.51371i
\(723\) −6.11353 + 6.11353i −0.227365 + 0.227365i
\(724\) −101.316 58.4946i −3.76537 2.17394i
\(725\) −28.6860 + 16.5619i −1.06537 + 0.615093i
\(726\) 7.61528 28.4206i 0.282629 1.05479i
\(727\) 36.9369 1.36991 0.684957 0.728583i \(-0.259821\pi\)
0.684957 + 0.728583i \(0.259821\pi\)
\(728\) −61.6891 + 65.4958i −2.28635 + 2.42744i
\(729\) −1.00000 −0.0370370
\(730\) −7.53153 + 28.1080i −0.278754 + 1.04033i
\(731\) 11.6107 6.70343i 0.429437 0.247935i
\(732\) 3.02026 + 1.74375i 0.111632 + 0.0644508i
\(733\) −7.39416 + 7.39416i −0.273109 + 0.273109i −0.830351 0.557241i \(-0.811860\pi\)
0.557241 + 0.830351i \(0.311860\pi\)
\(734\) −10.7560 40.1419i −0.397011 1.48166i
\(735\) 20.8041 + 5.89659i 0.767369 + 0.217499i
\(736\) −8.52289 + 8.52289i −0.314158 + 0.314158i
\(737\) 1.98435 3.43700i 0.0730946 0.126604i
\(738\) 2.11339 + 3.66049i 0.0777948 + 0.134745i
\(739\) −40.7446 10.9175i −1.49882 0.401606i −0.586112 0.810230i \(-0.699342\pi\)
−0.912703 + 0.408623i \(0.866009\pi\)
\(740\) 111.822 4.11065
\(741\) 21.1395 0.785015i 0.776579 0.0288382i
\(742\) 26.2386 14.8982i 0.963250 0.546929i
\(743\) −0.209458 + 0.781707i −0.00768426 + 0.0286780i −0.969662 0.244452i \(-0.921392\pi\)
0.961977 + 0.273130i \(0.0880588\pi\)
\(744\) 18.3355 + 31.7580i 0.672211 + 1.16430i
\(745\) −30.6351 + 53.0616i −1.12238 + 1.94403i
\(746\) 63.0380 + 63.0380i 2.30799 + 2.30799i
\(747\) −0.661811 2.46991i −0.0242144 0.0903694i
\(748\) 5.68510 1.52332i 0.207868 0.0556980i
\(749\) 3.29661 11.9583i 0.120456 0.436945i
\(750\) −1.92965 + 3.34225i −0.0704607 + 0.122042i
\(751\) 41.4868 23.9524i 1.51387 0.874035i 0.514006 0.857787i \(-0.328161\pi\)
0.999868 0.0162488i \(-0.00517239\pi\)
\(752\) −35.5965 + 132.848i −1.29807 + 4.84446i
\(753\) 16.9722i 0.618501i
\(754\) 33.5608 63.4568i 1.22221 2.31096i
\(755\) 2.78304i 0.101285i
\(756\) 13.9660 3.63468i 0.507940 0.132192i
\(757\) 1.02223 + 1.77055i 0.0371534 + 0.0643516i 0.884004 0.467479i \(-0.154838\pi\)
−0.846851 + 0.531831i \(0.821504\pi\)
\(758\) 59.1640 + 34.1583i 2.14893 + 1.24069i
\(759\) −0.185989 + 0.185989i −0.00675098 + 0.00675098i
\(760\) 165.116 44.2427i 5.98939 1.60485i
\(761\) −13.8918 + 3.72230i −0.503578 + 0.134933i −0.501660 0.865065i \(-0.667277\pi\)
−0.00191784 + 0.999998i \(0.500610\pi\)
\(762\) 18.5576 + 18.5576i 0.672273 + 0.672273i
\(763\) 0.0985690 13.6979i 0.00356844 0.495896i
\(764\) −1.05071 + 0.606626i −0.0380132 + 0.0219470i
\(765\) −6.81137 1.82510i −0.246265 0.0659866i
\(766\) −49.6825 −1.79510
\(767\) 24.9170 47.1130i 0.899700 1.70115i
\(768\) 42.3841i 1.52940i
\(769\) 9.09993 + 2.43832i 0.328152 + 0.0879280i 0.419134 0.907925i \(-0.362334\pi\)
−0.0909818 + 0.995853i \(0.529001\pi\)
\(770\) −5.33954 + 9.09656i −0.192424 + 0.327817i
\(771\) −5.83406 3.36830i −0.210109 0.121306i
\(772\) 7.91442 + 7.91442i 0.284846 + 0.284846i
\(773\) 6.89949 + 25.7493i 0.248157 + 0.926136i 0.971770 + 0.235930i \(0.0758136\pi\)
−0.723613 + 0.690206i \(0.757520\pi\)