Properties

Label 91.2.ba.a.45.4
Level $91$
Weight $2$
Character 91.45
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 45.4
Character \(\chi\) \(=\) 91.45
Dual form 91.2.ba.a.89.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.193244 + 0.193244i) q^{2} +(2.17048 - 1.25313i) q^{3} +1.92531i q^{4} +(-0.383199 + 1.43012i) q^{5} +(-0.177273 + 0.661591i) q^{6} +(-2.15474 - 1.53528i) q^{7} +(-0.758543 - 0.758543i) q^{8} +(1.64065 - 2.84169i) q^{9} +O(q^{10})\) \(q+(-0.193244 + 0.193244i) q^{2} +(2.17048 - 1.25313i) q^{3} +1.92531i q^{4} +(-0.383199 + 1.43012i) q^{5} +(-0.177273 + 0.661591i) q^{6} +(-2.15474 - 1.53528i) q^{7} +(-0.758543 - 0.758543i) q^{8} +(1.64065 - 2.84169i) q^{9} +(-0.202311 - 0.350412i) q^{10} +(1.18808 - 4.43396i) q^{11} +(2.41266 + 4.17885i) q^{12} +(-2.80779 + 2.26193i) q^{13} +(0.713075 - 0.119706i) q^{14} +(0.960393 + 3.58423i) q^{15} -3.55746 q^{16} +2.34163 q^{17} +(0.232094 + 0.866185i) q^{18} +(-1.63673 + 0.438561i) q^{19} +(-2.75342 - 0.737778i) q^{20} +(-6.60072 - 0.632136i) q^{21} +(0.627247 + 1.08642i) q^{22} -4.79276i q^{23} +(-2.59695 - 0.695851i) q^{24} +(2.43173 + 1.40396i) q^{25} +(0.105485 - 0.979692i) q^{26} -0.705008i q^{27} +(2.95590 - 4.14855i) q^{28} +(-2.87534 + 4.98024i) q^{29} +(-0.878222 - 0.507042i) q^{30} +(-5.69764 + 1.52668i) q^{31} +(2.20454 - 2.20454i) q^{32} +(-2.97762 - 11.1126i) q^{33} +(-0.452505 + 0.452505i) q^{34} +(3.02133 - 2.49321i) q^{35} +(5.47114 + 3.15877i) q^{36} +(6.03398 + 6.03398i) q^{37} +(0.231540 - 0.401038i) q^{38} +(-3.25977 + 8.42798i) q^{39} +(1.37548 - 0.794133i) q^{40} +(-0.829479 + 0.222258i) q^{41} +(1.39771 - 1.15339i) q^{42} +(1.70069 - 0.981895i) q^{43} +(8.53676 + 2.28742i) q^{44} +(3.43525 + 3.43525i) q^{45} +(0.926173 + 0.926173i) q^{46} +(7.75739 + 2.07859i) q^{47} +(-7.72139 + 4.45794i) q^{48} +(2.28581 + 6.61627i) q^{49} +(-0.741225 + 0.198611i) q^{50} +(5.08245 - 2.93435i) q^{51} +(-4.35492 - 5.40588i) q^{52} +(6.54133 - 11.3299i) q^{53} +(0.136239 + 0.136239i) q^{54} +(5.88581 + 3.39817i) q^{55} +(0.469885 + 2.79904i) q^{56} +(-3.00292 + 3.00292i) q^{57} +(-0.406759 - 1.51804i) q^{58} +(1.09542 - 1.09542i) q^{59} +(-6.90078 + 1.84906i) q^{60} +(-8.45262 - 4.88012i) q^{61} +(0.806013 - 1.39606i) q^{62} +(-7.89797 + 3.60424i) q^{63} -6.26289i q^{64} +(-2.15888 - 4.88224i) q^{65} +(2.72285 + 1.57204i) q^{66} +(0.526925 + 0.141189i) q^{67} +4.50837i q^{68} +(-6.00594 - 10.4026i) q^{69} +(-0.102055 + 1.06565i) q^{70} +(1.77061 + 0.474435i) q^{71} +(-3.40005 + 0.911040i) q^{72} +(-0.611552 - 2.28234i) q^{73} -2.33206 q^{74} +7.03736 q^{75} +(-0.844368 - 3.15123i) q^{76} +(-9.36737 + 7.72999i) q^{77} +(-0.998725 - 2.25859i) q^{78} +(-2.13339 - 3.69514i) q^{79} +(1.36321 - 5.08758i) q^{80} +(4.03849 + 6.99486i) q^{81} +(0.117342 - 0.203242i) q^{82} +(3.88518 + 3.88518i) q^{83} +(1.21706 - 12.7085i) q^{84} +(-0.897309 + 3.34880i) q^{85} +(-0.138903 + 0.518394i) q^{86} +14.4127i q^{87} +(-4.26455 + 2.46214i) q^{88} +(-9.92055 + 9.92055i) q^{89} -1.32768 q^{90} +(9.52276 - 0.563113i) q^{91} +9.22757 q^{92} +(-10.4535 + 10.4535i) q^{93} +(-1.90074 + 1.09739i) q^{94} -2.50878i q^{95} +(2.02234 - 7.54749i) q^{96} +(0.734114 - 2.73975i) q^{97} +(-1.72027 - 0.836835i) q^{98} +(-10.6507 - 10.6507i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.193244 + 0.193244i −0.136644 + 0.136644i −0.772120 0.635476i \(-0.780804\pi\)
0.635476 + 0.772120i \(0.280804\pi\)
\(3\) 2.17048 1.25313i 1.25313 0.723493i 0.281397 0.959591i \(-0.409202\pi\)
0.971729 + 0.236099i \(0.0758689\pi\)
\(4\) 1.92531i 0.962657i
\(5\) −0.383199 + 1.43012i −0.171372 + 0.639568i 0.825770 + 0.564008i \(0.190741\pi\)
−0.997141 + 0.0755602i \(0.975925\pi\)
\(6\) −0.177273 + 0.661591i −0.0723713 + 0.270093i
\(7\) −2.15474 1.53528i −0.814415 0.580282i
\(8\) −0.758543 0.758543i −0.268186 0.268186i
\(9\) 1.64065 2.84169i 0.546883 0.947230i
\(10\) −0.202311 0.350412i −0.0639763 0.110810i
\(11\) 1.18808 4.43396i 0.358218 1.33689i −0.518168 0.855279i \(-0.673386\pi\)
0.876386 0.481609i \(-0.159948\pi\)
\(12\) 2.41266 + 4.17885i 0.696475 + 1.20633i
\(13\) −2.80779 + 2.26193i −0.778741 + 0.627346i
\(14\) 0.713075 0.119706i 0.190577 0.0319929i
\(15\) 0.960393 + 3.58423i 0.247972 + 0.925445i
\(16\) −3.55746 −0.889365
\(17\) 2.34163 0.567928 0.283964 0.958835i \(-0.408350\pi\)
0.283964 + 0.958835i \(0.408350\pi\)
\(18\) 0.232094 + 0.866185i 0.0547050 + 0.204162i
\(19\) −1.63673 + 0.438561i −0.375492 + 0.100613i −0.441629 0.897198i \(-0.645599\pi\)
0.0661367 + 0.997811i \(0.478933\pi\)
\(20\) −2.75342 0.737778i −0.615684 0.164972i
\(21\) −6.60072 0.632136i −1.44040 0.137943i
\(22\) 0.627247 + 1.08642i 0.133730 + 0.231626i
\(23\) 4.79276i 0.999360i −0.866210 0.499680i \(-0.833451\pi\)
0.866210 0.499680i \(-0.166549\pi\)
\(24\) −2.59695 0.695851i −0.530101 0.142040i
\(25\) 2.43173 + 1.40396i 0.486347 + 0.280792i
\(26\) 0.105485 0.979692i 0.0206873 0.192133i
\(27\) 0.705008i 0.135679i
\(28\) 2.95590 4.14855i 0.558613 0.784002i
\(29\) −2.87534 + 4.98024i −0.533938 + 0.924808i 0.465276 + 0.885166i \(0.345955\pi\)
−0.999214 + 0.0396419i \(0.987378\pi\)
\(30\) −0.878222 0.507042i −0.160341 0.0925727i
\(31\) −5.69764 + 1.52668i −1.02333 + 0.274199i −0.731187 0.682177i \(-0.761033\pi\)
−0.292139 + 0.956376i \(0.594367\pi\)
\(32\) 2.20454 2.20454i 0.389712 0.389712i
\(33\) −2.97762 11.1126i −0.518336 1.93446i
\(34\) −0.452505 + 0.452505i −0.0776040 + 0.0776040i
\(35\) 3.02133 2.49321i 0.510698 0.421430i
\(36\) 5.47114 + 3.15877i 0.911857 + 0.526461i
\(37\) 6.03398 + 6.03398i 0.991979 + 0.991979i 0.999968 0.00798866i \(-0.00254290\pi\)
−0.00798866 + 0.999968i \(0.502543\pi\)
\(38\) 0.231540 0.401038i 0.0375607 0.0650570i
\(39\) −3.25977 + 8.42798i −0.521981 + 1.34956i
\(40\) 1.37548 0.794133i 0.217482 0.125563i
\(41\) −0.829479 + 0.222258i −0.129543 + 0.0347109i −0.323008 0.946396i \(-0.604694\pi\)
0.193465 + 0.981107i \(0.438027\pi\)
\(42\) 1.39771 1.15339i 0.215671 0.177972i
\(43\) 1.70069 0.981895i 0.259353 0.149738i −0.364686 0.931130i \(-0.618824\pi\)
0.624039 + 0.781393i \(0.285490\pi\)
\(44\) 8.53676 + 2.28742i 1.28696 + 0.344841i
\(45\) 3.43525 + 3.43525i 0.512097 + 0.512097i
\(46\) 0.926173 + 0.926173i 0.136557 + 0.136557i
\(47\) 7.75739 + 2.07859i 1.13153 + 0.303193i 0.775542 0.631297i \(-0.217477\pi\)
0.355990 + 0.934490i \(0.384144\pi\)
\(48\) −7.72139 + 4.45794i −1.11449 + 0.643449i
\(49\) 2.28581 + 6.61627i 0.326545 + 0.945182i
\(50\) −0.741225 + 0.198611i −0.104825 + 0.0280878i
\(51\) 5.08245 2.93435i 0.711685 0.410892i
\(52\) −4.35492 5.40588i −0.603918 0.749660i
\(53\) 6.54133 11.3299i 0.898521 1.55628i 0.0691354 0.997607i \(-0.477976\pi\)
0.829386 0.558677i \(-0.188691\pi\)
\(54\) 0.136239 + 0.136239i 0.0185397 + 0.0185397i
\(55\) 5.88581 + 3.39817i 0.793642 + 0.458210i
\(56\) 0.469885 + 2.79904i 0.0627911 + 0.374038i
\(57\) −3.00292 + 3.00292i −0.397747 + 0.397747i
\(58\) −0.406759 1.51804i −0.0534100 0.199329i
\(59\) 1.09542 1.09542i 0.142611 0.142611i −0.632197 0.774808i \(-0.717847\pi\)
0.774808 + 0.632197i \(0.217847\pi\)
\(60\) −6.90078 + 1.84906i −0.890886 + 0.238712i
\(61\) −8.45262 4.88012i −1.08225 0.624836i −0.150746 0.988573i \(-0.548167\pi\)
−0.931502 + 0.363737i \(0.881501\pi\)
\(62\) 0.806013 1.39606i 0.102364 0.177299i
\(63\) −7.89797 + 3.60424i −0.995051 + 0.454092i
\(64\) 6.26289i 0.782861i
\(65\) −2.15888 4.88224i −0.267776 0.605567i
\(66\) 2.72285 + 1.57204i 0.335160 + 0.193505i
\(67\) 0.526925 + 0.141189i 0.0643742 + 0.0172490i 0.290862 0.956765i \(-0.406058\pi\)
−0.226488 + 0.974014i \(0.572724\pi\)
\(68\) 4.50837i 0.546720i
\(69\) −6.00594 10.4026i −0.723030 1.25232i
\(70\) −0.102055 + 1.06565i −0.0121979 + 0.127370i
\(71\) 1.77061 + 0.474435i 0.210133 + 0.0563050i 0.362350 0.932042i \(-0.381975\pi\)
−0.152217 + 0.988347i \(0.548641\pi\)
\(72\) −3.40005 + 0.911040i −0.400699 + 0.107367i
\(73\) −0.611552 2.28234i −0.0715768 0.267128i 0.920859 0.389897i \(-0.127489\pi\)
−0.992435 + 0.122769i \(0.960823\pi\)
\(74\) −2.33206 −0.271096
\(75\) 7.03736 0.812605
\(76\) −0.844368 3.15123i −0.0968557 0.361470i
\(77\) −9.36737 + 7.72999i −1.06751 + 0.880915i
\(78\) −0.998725 2.25859i −0.113083 0.255735i
\(79\) −2.13339 3.69514i −0.240025 0.415736i 0.720696 0.693251i \(-0.243822\pi\)
−0.960721 + 0.277516i \(0.910489\pi\)
\(80\) 1.36321 5.08758i 0.152412 0.568809i
\(81\) 4.03849 + 6.99486i 0.448721 + 0.777207i
\(82\) 0.117342 0.203242i 0.0129582 0.0224443i
\(83\) 3.88518 + 3.88518i 0.426454 + 0.426454i 0.887419 0.460965i \(-0.152496\pi\)
−0.460965 + 0.887419i \(0.652496\pi\)
\(84\) 1.21706 12.7085i 0.132792 1.38661i
\(85\) −0.897309 + 3.34880i −0.0973268 + 0.363228i
\(86\) −0.138903 + 0.518394i −0.0149783 + 0.0558998i
\(87\) 14.4127i 1.54520i
\(88\) −4.26455 + 2.46214i −0.454603 + 0.262465i
\(89\) −9.92055 + 9.92055i −1.05158 + 1.05158i −0.0529806 + 0.998596i \(0.516872\pi\)
−0.998596 + 0.0529806i \(0.983128\pi\)
\(90\) −1.32768 −0.139950
\(91\) 9.52276 0.563113i 0.998256 0.0590303i
\(92\) 9.22757 0.962041
\(93\) −10.4535 + 10.4535i −1.08398 + 1.08398i
\(94\) −1.90074 + 1.09739i −0.196047 + 0.113188i
\(95\) 2.50878i 0.257395i
\(96\) 2.02234 7.54749i 0.206404 0.770312i
\(97\) 0.734114 2.73975i 0.0745380 0.278180i −0.918590 0.395212i \(-0.870671\pi\)
0.993128 + 0.117032i \(0.0373380\pi\)
\(98\) −1.72027 0.836835i −0.173774 0.0845331i
\(99\) −10.6507 10.6507i −1.07044 1.07044i
\(100\) −2.70307 + 4.68185i −0.270307 + 0.468185i
\(101\) −5.32015 9.21476i −0.529374 0.916903i −0.999413 0.0342575i \(-0.989093\pi\)
0.470039 0.882646i \(-0.344240\pi\)
\(102\) −0.415107 + 1.54920i −0.0411017 + 0.153394i
\(103\) 8.60773 + 14.9090i 0.848145 + 1.46903i 0.882862 + 0.469633i \(0.155614\pi\)
−0.0347173 + 0.999397i \(0.511053\pi\)
\(104\) 3.84560 + 0.414061i 0.377092 + 0.0406020i
\(105\) 3.43342 9.19757i 0.335067 0.897591i
\(106\) 0.925366 + 3.45351i 0.0898794 + 0.335435i
\(107\) −4.05690 −0.392195 −0.196097 0.980584i \(-0.562827\pi\)
−0.196097 + 0.980584i \(0.562827\pi\)
\(108\) 1.35736 0.130612
\(109\) −2.05022 7.65154i −0.196376 0.732885i −0.991906 0.126971i \(-0.959474\pi\)
0.795531 0.605914i \(-0.207192\pi\)
\(110\) −1.79407 + 0.480721i −0.171058 + 0.0458349i
\(111\) 20.6579 + 5.53528i 1.96077 + 0.525385i
\(112\) 7.66540 + 5.46171i 0.724312 + 0.516083i
\(113\) −9.23138 15.9892i −0.868415 1.50414i −0.863616 0.504150i \(-0.831806\pi\)
−0.00479920 0.999988i \(-0.501528\pi\)
\(114\) 1.16059i 0.108699i
\(115\) 6.85421 + 1.83658i 0.639159 + 0.171262i
\(116\) −9.58853 5.53594i −0.890272 0.513999i
\(117\) 1.82109 + 11.6899i 0.168360 + 1.08073i
\(118\) 0.423366i 0.0389740i
\(119\) −5.04560 3.59506i −0.462529 0.329559i
\(120\) 1.99030 3.44730i 0.181688 0.314694i
\(121\) −8.72217 5.03575i −0.792925 0.457795i
\(122\) 2.57647 0.690364i 0.233263 0.0625026i
\(123\) −1.52185 + 1.52185i −0.137220 + 0.137220i
\(124\) −2.93933 10.9697i −0.263960 0.985112i
\(125\) −8.17426 + 8.17426i −0.731128 + 0.731128i
\(126\) 0.829737 2.22273i 0.0739189 0.198017i
\(127\) −2.52084 1.45541i −0.223689 0.129147i 0.383968 0.923346i \(-0.374557\pi\)
−0.607657 + 0.794200i \(0.707890\pi\)
\(128\) 5.61935 + 5.61935i 0.496685 + 0.496685i
\(129\) 2.46088 4.26236i 0.216668 0.375280i
\(130\) 1.36065 + 0.526273i 0.119337 + 0.0461572i
\(131\) −8.58252 + 4.95512i −0.749858 + 0.432931i −0.825643 0.564194i \(-0.809187\pi\)
0.0757847 + 0.997124i \(0.475854\pi\)
\(132\) 21.3953 5.73284i 1.86222 0.498980i
\(133\) 4.20005 + 1.56786i 0.364191 + 0.135951i
\(134\) −0.129109 + 0.0745412i −0.0111533 + 0.00643938i
\(135\) 1.00824 + 0.270158i 0.0867758 + 0.0232515i
\(136\) −1.77623 1.77623i −0.152310 0.152310i
\(137\) −0.385142 0.385142i −0.0329049 0.0329049i 0.690463 0.723368i \(-0.257407\pi\)
−0.723368 + 0.690463i \(0.757407\pi\)
\(138\) 3.17085 + 0.849626i 0.269921 + 0.0723250i
\(139\) 3.32499 1.91968i 0.282022 0.162825i −0.352317 0.935881i \(-0.614606\pi\)
0.634338 + 0.773056i \(0.281273\pi\)
\(140\) 4.80022 + 5.81700i 0.405692 + 0.491627i
\(141\) 19.4420 5.20946i 1.63731 0.438716i
\(142\) −0.433842 + 0.250479i −0.0364072 + 0.0210197i
\(143\) 6.69342 + 15.1370i 0.559732 + 1.26582i
\(144\) −5.83654 + 10.1092i −0.486379 + 0.842433i
\(145\) −6.02050 6.02050i −0.499975 0.499975i
\(146\) 0.559228 + 0.322870i 0.0462820 + 0.0267210i
\(147\) 13.2523 + 11.4961i 1.09303 + 0.948179i
\(148\) −11.6173 + 11.6173i −0.954936 + 0.954936i
\(149\) 6.05379 + 22.5930i 0.495946 + 1.85089i 0.524668 + 0.851307i \(0.324189\pi\)
−0.0287228 + 0.999587i \(0.509144\pi\)
\(150\) −1.35993 + 1.35993i −0.111038 + 0.111038i
\(151\) 6.36774 1.70623i 0.518200 0.138851i 0.00976596 0.999952i \(-0.496891\pi\)
0.508434 + 0.861101i \(0.330225\pi\)
\(152\) 1.57420 + 0.908865i 0.127685 + 0.0737187i
\(153\) 3.84179 6.65417i 0.310590 0.537958i
\(154\) 0.316413 3.30396i 0.0254973 0.266241i
\(155\) 8.73331i 0.701476i
\(156\) −16.2265 6.27608i −1.29916 0.502488i
\(157\) 9.49287 + 5.48071i 0.757613 + 0.437408i 0.828438 0.560081i \(-0.189230\pi\)
−0.0708249 + 0.997489i \(0.522563\pi\)
\(158\) 1.12633 + 0.301799i 0.0896058 + 0.0240098i
\(159\) 32.7885i 2.60029i
\(160\) 2.30798 + 3.99754i 0.182462 + 0.316033i
\(161\) −7.35825 + 10.3272i −0.579911 + 0.813894i
\(162\) −2.13213 0.571302i −0.167516 0.0448857i
\(163\) −3.73496 + 1.00078i −0.292544 + 0.0783870i −0.402106 0.915593i \(-0.631722\pi\)
0.109562 + 0.993980i \(0.465055\pi\)
\(164\) −0.427917 1.59701i −0.0334147 0.124705i
\(165\) 17.0334 1.32605
\(166\) −1.50158 −0.116545
\(167\) −6.30900 23.5455i −0.488205 1.82201i −0.565172 0.824973i \(-0.691190\pi\)
0.0769673 0.997034i \(-0.475476\pi\)
\(168\) 4.52743 + 5.48643i 0.349299 + 0.423288i
\(169\) 2.76737 12.7020i 0.212875 0.977079i
\(170\) −0.473736 0.820535i −0.0363339 0.0629322i
\(171\) −1.43905 + 5.37061i −0.110047 + 0.410701i
\(172\) 1.89046 + 3.27436i 0.144146 + 0.249668i
\(173\) −2.39991 + 4.15677i −0.182462 + 0.316033i −0.942718 0.333590i \(-0.891740\pi\)
0.760257 + 0.649623i \(0.225073\pi\)
\(174\) −2.78516 2.78516i −0.211143 0.211143i
\(175\) −3.08427 6.75857i −0.233149 0.510900i
\(176\) −4.22653 + 15.7736i −0.318587 + 1.18898i
\(177\) 1.00488 3.75028i 0.0755317 0.281888i
\(178\) 3.83417i 0.287383i
\(179\) −9.64786 + 5.57019i −0.721115 + 0.416336i −0.815163 0.579232i \(-0.803353\pi\)
0.0940481 + 0.995568i \(0.470019\pi\)
\(180\) −6.61394 + 6.61394i −0.492974 + 0.492974i
\(181\) 4.32449 0.321437 0.160718 0.987000i \(-0.448619\pi\)
0.160718 + 0.987000i \(0.448619\pi\)
\(182\) −1.73140 + 1.94903i −0.128340 + 0.144472i
\(183\) −24.4616 −1.80826
\(184\) −3.63552 + 3.63552i −0.268014 + 0.268014i
\(185\) −10.9415 + 6.31708i −0.804435 + 0.464441i
\(186\) 4.04014i 0.296238i
\(187\) 2.78203 10.3827i 0.203442 0.759256i
\(188\) −4.00193 + 14.9354i −0.291871 + 1.08928i
\(189\) −1.08239 + 1.51911i −0.0787320 + 0.110499i
\(190\) 0.484806 + 0.484806i 0.0351715 + 0.0351715i
\(191\) 3.15973 5.47282i 0.228630 0.395999i −0.728772 0.684756i \(-0.759909\pi\)
0.957402 + 0.288757i \(0.0932420\pi\)
\(192\) −7.84819 13.5935i −0.566394 0.981024i
\(193\) 3.08313 11.5064i 0.221929 0.828250i −0.761683 0.647950i \(-0.775627\pi\)
0.983612 0.180300i \(-0.0577068\pi\)
\(194\) 0.387577 + 0.671304i 0.0278264 + 0.0481968i
\(195\) −10.8039 7.89144i −0.773680 0.565118i
\(196\) −12.7384 + 4.40091i −0.909886 + 0.314351i
\(197\) −0.533499 1.99105i −0.0380103 0.141856i 0.944313 0.329048i \(-0.106728\pi\)
−0.982323 + 0.187192i \(0.940061\pi\)
\(198\) 4.11637 0.292538
\(199\) −18.5628 −1.31588 −0.657942 0.753068i \(-0.728573\pi\)
−0.657942 + 0.753068i \(0.728573\pi\)
\(200\) −0.779609 2.90954i −0.0551267 0.205736i
\(201\) 1.32061 0.353856i 0.0931485 0.0249591i
\(202\) 2.80878 + 0.752611i 0.197625 + 0.0529536i
\(203\) 13.8417 6.31666i 0.971497 0.443343i
\(204\) 5.64955 + 9.78531i 0.395548 + 0.685109i
\(205\) 1.27142i 0.0887999i
\(206\) −4.54447 1.21769i −0.316628 0.0848403i
\(207\) −13.6195 7.86325i −0.946624 0.546533i
\(208\) 9.98860 8.04671i 0.692585 0.557939i
\(209\) 7.77825i 0.538033i
\(210\) 1.11389 + 2.44086i 0.0768656 + 0.168435i
\(211\) −1.40368 + 2.43124i −0.0966332 + 0.167374i −0.910289 0.413973i \(-0.864141\pi\)
0.813656 + 0.581347i \(0.197474\pi\)
\(212\) 21.8136 + 12.5941i 1.49817 + 0.864967i
\(213\) 4.43761 1.18905i 0.304060 0.0814726i
\(214\) 0.783971 0.783971i 0.0535911 0.0535911i
\(215\) 0.752522 + 2.80845i 0.0513216 + 0.191535i
\(216\) −0.534779 + 0.534779i −0.0363871 + 0.0363871i
\(217\) 14.6208 + 5.45789i 0.992525 + 0.370506i
\(218\) 1.87481 + 1.08242i 0.126978 + 0.0733108i
\(219\) −4.18743 4.18743i −0.282960 0.282960i
\(220\) −6.54255 + 11.3320i −0.441099 + 0.764005i
\(221\) −6.57480 + 5.29659i −0.442269 + 0.356287i
\(222\) −5.06168 + 2.92236i −0.339718 + 0.196136i
\(223\) −15.6678 + 4.19816i −1.04919 + 0.281130i −0.741917 0.670491i \(-0.766083\pi\)
−0.307274 + 0.951621i \(0.599417\pi\)
\(224\) −8.13482 + 1.36562i −0.543530 + 0.0912444i
\(225\) 7.97924 4.60682i 0.531950 0.307121i
\(226\) 4.87373 + 1.30591i 0.324196 + 0.0868679i
\(227\) 1.24111 + 1.24111i 0.0823752 + 0.0823752i 0.747094 0.664719i \(-0.231449\pi\)
−0.664719 + 0.747094i \(0.731449\pi\)
\(228\) −5.78157 5.78157i −0.382894 0.382894i
\(229\) 10.7645 + 2.88434i 0.711338 + 0.190602i 0.596304 0.802759i \(-0.296635\pi\)
0.115034 + 0.993362i \(0.463302\pi\)
\(230\) −1.67944 + 0.969627i −0.110739 + 0.0639353i
\(231\) −10.6450 + 28.5163i −0.700391 + 1.87623i
\(232\) 5.95880 1.59666i 0.391214 0.104826i
\(233\) 17.6370 10.1827i 1.15544 0.667091i 0.205230 0.978714i \(-0.434206\pi\)
0.950206 + 0.311623i \(0.100872\pi\)
\(234\) −2.61092 1.90709i −0.170681 0.124670i
\(235\) −5.94525 + 10.2975i −0.387825 + 0.671733i
\(236\) 2.10902 + 2.10902i 0.137286 + 0.137286i
\(237\) −9.26095 5.34681i −0.601563 0.347313i
\(238\) 1.66976 0.280308i 0.108234 0.0181697i
\(239\) 14.6160 14.6160i 0.945430 0.945430i −0.0531558 0.998586i \(-0.516928\pi\)
0.998586 + 0.0531558i \(0.0169280\pi\)
\(240\) −3.41656 12.7508i −0.220538 0.823059i
\(241\) 10.0956 10.0956i 0.650314 0.650314i −0.302755 0.953069i \(-0.597906\pi\)
0.953069 + 0.302755i \(0.0979063\pi\)
\(242\) 2.65863 0.712379i 0.170904 0.0457935i
\(243\) 19.3626 + 11.1790i 1.24211 + 0.717132i
\(244\) 9.39577 16.2740i 0.601503 1.04183i
\(245\) −10.3380 + 0.733634i −0.660468 + 0.0468702i
\(246\) 0.588176i 0.0375007i
\(247\) 3.60361 4.93356i 0.229292 0.313915i
\(248\) 5.47995 + 3.16385i 0.347977 + 0.200905i
\(249\) 13.3013 + 3.56408i 0.842937 + 0.225864i
\(250\) 3.15925i 0.199809i
\(251\) −3.24540 5.62120i −0.204848 0.354807i 0.745236 0.666801i \(-0.232337\pi\)
−0.950084 + 0.311993i \(0.899003\pi\)
\(252\) −6.93929 15.2061i −0.437134 0.957892i
\(253\) −21.2509 5.69416i −1.33603 0.357989i
\(254\) 0.768387 0.205889i 0.0482129 0.0129186i
\(255\) 2.24888 + 8.39294i 0.140830 + 0.525586i
\(256\) 10.3540 0.647123
\(257\) −22.1961 −1.38455 −0.692277 0.721632i \(-0.743392\pi\)
−0.692277 + 0.721632i \(0.743392\pi\)
\(258\) 0.348126 + 1.29923i 0.0216734 + 0.0808862i
\(259\) −3.73779 22.2655i −0.232255 1.38351i
\(260\) 9.39984 4.15652i 0.582953 0.257776i
\(261\) 9.43486 + 16.3417i 0.584003 + 1.01152i
\(262\) 0.700973 2.61607i 0.0433062 0.161621i
\(263\) −5.05320 8.75240i −0.311594 0.539696i 0.667114 0.744956i \(-0.267529\pi\)
−0.978708 + 0.205260i \(0.934196\pi\)
\(264\) −6.17075 + 10.6880i −0.379783 + 0.657804i
\(265\) 13.6965 + 13.6965i 0.841368 + 0.841368i
\(266\) −1.11461 + 0.508655i −0.0683414 + 0.0311876i
\(267\) −9.10063 + 33.9640i −0.556950 + 2.07857i
\(268\) −0.271834 + 1.01450i −0.0166049 + 0.0619702i
\(269\) 10.3582i 0.631552i −0.948834 0.315776i \(-0.897735\pi\)
0.948834 0.315776i \(-0.102265\pi\)
\(270\) −0.247044 + 0.142631i −0.0150346 + 0.00868022i
\(271\) −2.31182 + 2.31182i −0.140433 + 0.140433i −0.773828 0.633395i \(-0.781661\pi\)
0.633395 + 0.773828i \(0.281661\pi\)
\(272\) −8.33024 −0.505095
\(273\) 19.9633 13.1554i 1.20823 0.796203i
\(274\) 0.148853 0.00899252
\(275\) 9.11419 9.11419i 0.549606 0.549606i
\(276\) 20.0282 11.5633i 1.20556 0.696030i
\(277\) 16.6626i 1.00116i 0.865690 + 0.500580i \(0.166880\pi\)
−0.865690 + 0.500580i \(0.833120\pi\)
\(278\) −0.271567 + 1.01350i −0.0162875 + 0.0607857i
\(279\) −5.00949 + 18.6957i −0.299910 + 1.11928i
\(280\) −4.18302 0.400598i −0.249983 0.0239403i
\(281\) 8.02095 + 8.02095i 0.478490 + 0.478490i 0.904648 0.426159i \(-0.140134\pi\)
−0.426159 + 0.904648i \(0.640134\pi\)
\(282\) −2.75035 + 4.76374i −0.163781 + 0.283677i
\(283\) 7.22018 + 12.5057i 0.429195 + 0.743388i 0.996802 0.0799119i \(-0.0254639\pi\)
−0.567607 + 0.823300i \(0.692131\pi\)
\(284\) −0.913435 + 3.40899i −0.0542024 + 0.202286i
\(285\) −3.14381 5.44525i −0.186223 0.322549i
\(286\) −4.21859 1.63166i −0.249450 0.0964823i
\(287\) 2.12854 + 0.794576i 0.125644 + 0.0469023i
\(288\) −2.64774 9.88151i −0.156020 0.582274i
\(289\) −11.5168 −0.677458
\(290\) 2.32685 0.136637
\(291\) −1.83988 6.86651i −0.107855 0.402522i
\(292\) 4.39423 1.17743i 0.257153 0.0689039i
\(293\) 15.9091 + 4.26283i 0.929420 + 0.249037i 0.691607 0.722274i \(-0.256903\pi\)
0.237812 + 0.971311i \(0.423570\pi\)
\(294\) −4.78248 + 0.339389i −0.278920 + 0.0197935i
\(295\) 1.14681 + 1.98634i 0.0667701 + 0.115649i
\(296\) 9.15406i 0.532069i
\(297\) −3.12597 0.837602i −0.181387 0.0486026i
\(298\) −5.53583 3.19611i −0.320682 0.185146i
\(299\) 10.8409 + 13.4571i 0.626944 + 0.778243i
\(300\) 13.5491i 0.782259i
\(301\) −5.17204 0.495314i −0.298111 0.0285494i
\(302\) −0.900809 + 1.56025i −0.0518357 + 0.0897821i
\(303\) −23.0945 13.3336i −1.32675 0.765997i
\(304\) 5.82261 1.56016i 0.333950 0.0894816i
\(305\) 10.2182 10.2182i 0.585092 0.585092i
\(306\) 0.543477 + 2.02828i 0.0310685 + 0.115949i
\(307\) −8.27574 + 8.27574i −0.472322 + 0.472322i −0.902665 0.430344i \(-0.858392\pi\)
0.430344 + 0.902665i \(0.358392\pi\)
\(308\) −14.8827 18.0351i −0.848018 1.02765i
\(309\) 37.3658 + 21.5731i 2.12566 + 1.22725i
\(310\) 1.68766 + 1.68766i 0.0958526 + 0.0958526i
\(311\) 6.45124 11.1739i 0.365816 0.633612i −0.623091 0.782150i \(-0.714123\pi\)
0.988907 + 0.148538i \(0.0474566\pi\)
\(312\) 8.86566 3.92031i 0.501919 0.221944i
\(313\) 5.16307 2.98090i 0.291834 0.168490i −0.346935 0.937889i \(-0.612777\pi\)
0.638769 + 0.769399i \(0.279444\pi\)
\(314\) −2.89355 + 0.775325i −0.163293 + 0.0437541i
\(315\) −2.12799 12.6762i −0.119899 0.714221i
\(316\) 7.11430 4.10744i 0.400211 0.231062i
\(317\) −12.4965 3.34843i −0.701873 0.188066i −0.109804 0.993953i \(-0.535022\pi\)
−0.592070 + 0.805887i \(0.701689\pi\)
\(318\) 6.33617 + 6.33617i 0.355315 + 0.355315i
\(319\) 18.6660 + 18.6660i 1.04510 + 1.04510i
\(320\) 8.95667 + 2.39993i 0.500693 + 0.134160i
\(321\) −8.80540 + 5.08380i −0.491470 + 0.283750i
\(322\) −0.573725 3.41760i −0.0319724 0.190455i
\(323\) −3.83262 + 1.02695i −0.213253 + 0.0571409i
\(324\) −13.4673 + 7.77535i −0.748184 + 0.431964i
\(325\) −10.0035 + 1.55837i −0.554892 + 0.0864429i
\(326\) 0.528363 0.915152i 0.0292633 0.0506856i
\(327\) −14.0383 14.0383i −0.776321 0.776321i
\(328\) 0.797788 + 0.460603i 0.0440505 + 0.0254325i
\(329\) −13.5239 16.3886i −0.745599 0.903533i
\(330\) −3.29159 + 3.29159i −0.181196 + 0.181196i
\(331\) −2.58639 9.65252i −0.142161 0.530551i −0.999865 0.0164080i \(-0.994777\pi\)
0.857705 0.514142i \(-0.171890\pi\)
\(332\) −7.48019 + 7.48019i −0.410529 + 0.410529i
\(333\) 27.0463 7.24704i 1.48213 0.397135i
\(334\) 5.76920 + 3.33085i 0.315677 + 0.182256i
\(335\) −0.403834 + 0.699462i −0.0220638 + 0.0382157i
\(336\) 23.4818 + 2.24880i 1.28104 + 0.122682i
\(337\) 17.5327i 0.955069i 0.878613 + 0.477534i \(0.158469\pi\)
−0.878613 + 0.477534i \(0.841531\pi\)
\(338\) 1.91981 + 2.98937i 0.104424 + 0.162600i
\(339\) −40.0730 23.1362i −2.17647 1.25658i
\(340\) −6.44749 1.72760i −0.349664 0.0936923i
\(341\) 27.0769i 1.46630i
\(342\) −0.759751 1.31593i −0.0410826 0.0711572i
\(343\) 5.23251 17.7657i 0.282529 0.959259i
\(344\) −2.03486 0.545238i −0.109712 0.0293973i
\(345\) 17.1784 4.60294i 0.924853 0.247814i
\(346\) −0.339502 1.26704i −0.0182517 0.0681164i
\(347\) −26.2542 −1.40940 −0.704700 0.709506i \(-0.748918\pi\)
−0.704700 + 0.709506i \(0.748918\pi\)
\(348\) −27.7489 −1.48750
\(349\) 2.90133 + 10.8279i 0.155304 + 0.579604i 0.999079 + 0.0429064i \(0.0136617\pi\)
−0.843775 + 0.536698i \(0.819672\pi\)
\(350\) 1.90207 + 0.710035i 0.101670 + 0.0379530i
\(351\) 1.59468 + 1.97951i 0.0851175 + 0.105659i
\(352\) −7.15569 12.3940i −0.381399 0.660603i
\(353\) 1.81273 6.76519i 0.0964817 0.360075i −0.900758 0.434321i \(-0.856988\pi\)
0.997240 + 0.0742463i \(0.0236551\pi\)
\(354\) 0.530531 + 0.918907i 0.0281974 + 0.0488394i
\(355\) −1.35699 + 2.35038i −0.0720218 + 0.124745i
\(356\) −19.1002 19.1002i −1.01231 1.01231i
\(357\) −15.4564 1.48023i −0.818041 0.0783419i
\(358\) 0.787984 2.94080i 0.0416463 0.155426i
\(359\) 1.32297 4.93737i 0.0698234 0.260585i −0.922186 0.386746i \(-0.873599\pi\)
0.992010 + 0.126161i \(0.0402657\pi\)
\(360\) 5.21158i 0.274674i
\(361\) −13.9679 + 8.06438i −0.735154 + 0.424441i
\(362\) −0.835682 + 0.835682i −0.0439225 + 0.0439225i
\(363\) −25.2417 −1.32485
\(364\) 1.08417 + 18.3343i 0.0568259 + 0.960978i
\(365\) 3.49837 0.183113
\(366\) 4.72707 4.72707i 0.247088 0.247088i
\(367\) 15.9153 9.18868i 0.830770 0.479645i −0.0233461 0.999727i \(-0.507432\pi\)
0.854116 + 0.520082i \(0.174099\pi\)
\(368\) 17.0501i 0.888796i
\(369\) −0.729296 + 2.72177i −0.0379656 + 0.141690i
\(370\) 0.893642 3.33512i 0.0464582 0.173385i
\(371\) −31.4895 + 14.3702i −1.63485 + 0.746066i
\(372\) −20.1262 20.1262i −1.04350 1.04350i
\(373\) −10.4260 + 18.0583i −0.539837 + 0.935025i 0.459075 + 0.888397i \(0.348181\pi\)
−0.998912 + 0.0466277i \(0.985153\pi\)
\(374\) 1.46878 + 2.54400i 0.0759487 + 0.131547i
\(375\) −7.49867 + 27.9854i −0.387230 + 1.44516i
\(376\) −4.30762 7.46101i −0.222148 0.384772i
\(377\) −3.19158 20.4873i −0.164375 1.05515i
\(378\) −0.0843940 0.502723i −0.00434076 0.0258573i
\(379\) 7.22021 + 26.9462i 0.370877 + 1.38413i 0.859276 + 0.511512i \(0.170914\pi\)
−0.488399 + 0.872620i \(0.662419\pi\)
\(380\) 4.83018 0.247783
\(381\) −7.29524 −0.373747
\(382\) 0.446990 + 1.66819i 0.0228700 + 0.0853520i
\(383\) 23.7412 6.36142i 1.21312 0.325054i 0.405132 0.914258i \(-0.367225\pi\)
0.807984 + 0.589204i \(0.200559\pi\)
\(384\) 19.2384 + 5.15492i 0.981758 + 0.263061i
\(385\) −7.46523 16.3586i −0.380464 0.833710i
\(386\) 1.62775 + 2.81934i 0.0828502 + 0.143501i
\(387\) 6.44378i 0.327556i
\(388\) 5.27488 + 1.41340i 0.267792 + 0.0717545i
\(389\) 21.2079 + 12.2444i 1.07528 + 0.620815i 0.929620 0.368519i \(-0.120135\pi\)
0.145663 + 0.989334i \(0.453468\pi\)
\(390\) 3.61275 0.562807i 0.182939 0.0284988i
\(391\) 11.2229i 0.567565i
\(392\) 3.28484 6.75262i 0.165909 0.341059i
\(393\) −12.4188 + 21.5099i −0.626444 + 1.08503i
\(394\) 0.487853 + 0.281662i 0.0245777 + 0.0141899i
\(395\) 6.10199 1.63502i 0.307025 0.0822670i
\(396\) 20.5060 20.5060i 1.03046 1.03046i
\(397\) −5.01142 18.7029i −0.251516 0.938671i −0.969996 0.243122i \(-0.921828\pi\)
0.718480 0.695548i \(-0.244838\pi\)
\(398\) 3.58716 3.58716i 0.179808 0.179808i
\(399\) 11.0809 1.86018i 0.554736 0.0931256i
\(400\) −8.65079 4.99454i −0.432539 0.249727i
\(401\) −9.35345 9.35345i −0.467089 0.467089i 0.433881 0.900970i \(-0.357144\pi\)
−0.900970 + 0.433881i \(0.857144\pi\)
\(402\) −0.186819 + 0.323580i −0.00931768 + 0.0161387i
\(403\) 12.5445 17.1742i 0.624888 0.855509i
\(404\) 17.7413 10.2430i 0.882663 0.509606i
\(405\) −11.5510 + 3.09509i −0.573975 + 0.153796i
\(406\) −1.45417 + 3.89548i −0.0721691 + 0.193330i
\(407\) 33.9232 19.5856i 1.68151 0.970821i
\(408\) −6.08109 1.62942i −0.301059 0.0806685i
\(409\) 17.6086 + 17.6086i 0.870691 + 0.870691i 0.992548 0.121857i \(-0.0388848\pi\)
−0.121857 + 0.992548i \(0.538885\pi\)
\(410\) 0.245694 + 0.245694i 0.0121340 + 0.0121340i
\(411\) −1.31857 0.353311i −0.0650405 0.0174275i
\(412\) −28.7045 + 16.5726i −1.41417 + 0.816472i
\(413\) −4.04212 + 0.678566i −0.198900 + 0.0333900i
\(414\) 4.15142 1.11237i 0.204031 0.0546700i
\(415\) −7.04506 + 4.06747i −0.345828 + 0.199664i
\(416\) −1.20338 + 11.1764i −0.0590006 + 0.547969i
\(417\) 4.81121 8.33325i 0.235606 0.408081i
\(418\) −1.50310 1.50310i −0.0735190 0.0735190i
\(419\) 13.9899 + 8.07708i 0.683452 + 0.394591i 0.801154 0.598458i \(-0.204220\pi\)
−0.117703 + 0.993049i \(0.537553\pi\)
\(420\) 17.7082 + 6.61040i 0.864072 + 0.322555i
\(421\) −12.8050 + 12.8050i −0.624080 + 0.624080i −0.946572 0.322492i \(-0.895479\pi\)
0.322492 + 0.946572i \(0.395479\pi\)
\(422\) −0.198570 0.741075i −0.00966626 0.0360750i
\(423\) 18.6339 18.6339i 0.906009 0.906009i
\(424\) −13.5561 + 3.63235i −0.658343 + 0.176403i
\(425\) 5.69421 + 3.28755i 0.276210 + 0.159470i
\(426\) −0.627763 + 1.08732i −0.0304152 + 0.0526807i
\(427\) 10.7208 + 23.4926i 0.518818 + 1.13689i
\(428\) 7.81080i 0.377549i
\(429\) 33.4964 + 24.4667i 1.61722 + 1.18127i
\(430\) −0.688136 0.397296i −0.0331849 0.0191593i
\(431\) −21.5984 5.78727i −1.04036 0.278763i −0.302096 0.953278i \(-0.597686\pi\)
−0.738261 + 0.674515i \(0.764353\pi\)
\(432\) 2.50804i 0.120668i
\(433\) −9.21467 15.9603i −0.442829 0.767002i 0.555069 0.831804i \(-0.312692\pi\)
−0.997898 + 0.0648019i \(0.979358\pi\)
\(434\) −3.88009 + 1.77068i −0.186250 + 0.0849953i
\(435\) −20.6118 5.52292i −0.988261 0.264804i
\(436\) 14.7316 3.94732i 0.705517 0.189043i
\(437\) 2.10192 + 7.84448i 0.100549 + 0.375252i
\(438\) 1.61839 0.0773297
\(439\) −15.6000 −0.744546 −0.372273 0.928123i \(-0.621421\pi\)
−0.372273 + 0.928123i \(0.621421\pi\)
\(440\) −1.88698 7.04230i −0.0899582 0.335729i
\(441\) 22.5516 + 4.35942i 1.07389 + 0.207591i
\(442\) 0.247006 2.29407i 0.0117489 0.109118i
\(443\) 14.7949 + 25.6255i 0.702926 + 1.21750i 0.967435 + 0.253120i \(0.0814567\pi\)
−0.264509 + 0.964383i \(0.585210\pi\)
\(444\) −10.6571 + 39.7730i −0.505766 + 1.88754i
\(445\) −10.3860 17.9891i −0.492344 0.852765i
\(446\) 2.21643 3.83897i 0.104951 0.181781i
\(447\) 41.4515 + 41.4515i 1.96059 + 1.96059i
\(448\) −9.61531 + 13.4949i −0.454280 + 0.637574i
\(449\) −2.50811 + 9.36041i −0.118365 + 0.441745i −0.999517 0.0310893i \(-0.990102\pi\)
0.881151 + 0.472834i \(0.156769\pi\)
\(450\) −0.651701 + 2.43218i −0.0307215 + 0.114654i
\(451\) 3.94193i 0.185618i
\(452\) 30.7843 17.7733i 1.44797 0.835986i
\(453\) 11.6829 11.6829i 0.548912 0.548912i
\(454\) −0.479673 −0.0225122
\(455\) −2.84379 + 13.8344i −0.133319 + 0.648569i
\(456\) 4.55569 0.213340
\(457\) 24.5102 24.5102i 1.14654 1.14654i 0.159312 0.987228i \(-0.449073\pi\)
0.987228 0.159312i \(-0.0509275\pi\)
\(458\) −2.63756 + 1.52279i −0.123245 + 0.0711555i
\(459\) 1.65087i 0.0770558i
\(460\) −3.53599 + 13.1965i −0.164867 + 0.615291i
\(461\) 2.45042 9.14508i 0.114127 0.425929i −0.885093 0.465414i \(-0.845905\pi\)
0.999220 + 0.0394858i \(0.0125720\pi\)
\(462\) −3.45351 7.56768i −0.160672 0.352081i
\(463\) 3.59580 + 3.59580i 0.167111 + 0.167111i 0.785708 0.618597i \(-0.212299\pi\)
−0.618597 + 0.785708i \(0.712299\pi\)
\(464\) 10.2289 17.7170i 0.474866 0.822491i
\(465\) −10.9439 18.9555i −0.507513 0.879038i
\(466\) −1.44049 + 5.37598i −0.0667294 + 0.249038i
\(467\) −12.0623 20.8926i −0.558179 0.966794i −0.997649 0.0685368i \(-0.978167\pi\)
0.439470 0.898257i \(-0.355166\pi\)
\(468\) −22.5067 + 3.50617i −1.04037 + 0.162073i
\(469\) −0.918622 1.11321i −0.0424180 0.0514031i
\(470\) −0.841041 3.13881i −0.0387943 0.144782i
\(471\) 27.4721 1.26585
\(472\) −1.66184 −0.0764926
\(473\) −2.33313 8.70736i −0.107277 0.400365i
\(474\) 2.82286 0.756384i 0.129658 0.0347418i
\(475\) −4.59582 1.23145i −0.210871 0.0565027i
\(476\) 6.92162 9.71436i 0.317252 0.445257i
\(477\) −21.4641 37.1769i −0.982772 1.70221i
\(478\) 5.64891i 0.258375i
\(479\) −23.6619 6.34020i −1.08114 0.289691i −0.326078 0.945343i \(-0.605727\pi\)
−0.755063 + 0.655652i \(0.772394\pi\)
\(480\) 10.0188 + 5.78437i 0.457295 + 0.264019i
\(481\) −30.5905 3.29373i −1.39481 0.150181i
\(482\) 3.90182i 0.177723i
\(483\) −3.02968 + 31.6357i −0.137855 + 1.43947i
\(484\) 9.69539 16.7929i 0.440700 0.763314i
\(485\) 3.63686 + 2.09974i 0.165141 + 0.0953443i
\(486\) −5.90197 + 1.58143i −0.267719 + 0.0717350i
\(487\) −27.0263 + 27.0263i −1.22468 + 1.22468i −0.258727 + 0.965951i \(0.583303\pi\)
−0.965951 + 0.258727i \(0.916697\pi\)
\(488\) 2.70989 + 10.1135i 0.122671 + 0.457815i
\(489\) −6.85254 + 6.85254i −0.309883 + 0.309883i
\(490\) 1.85598 2.13952i 0.0838446 0.0966537i
\(491\) 10.2155 + 5.89793i 0.461020 + 0.266170i 0.712473 0.701700i \(-0.247575\pi\)
−0.251453 + 0.967869i \(0.580908\pi\)
\(492\) −2.93003 2.93003i −0.132096 0.132096i
\(493\) −6.73298 + 11.6619i −0.303238 + 0.525224i
\(494\) 0.257005 + 1.64976i 0.0115632 + 0.0742261i
\(495\) 19.3131 11.1504i 0.868060 0.501174i
\(496\) 20.2691 5.43109i 0.910110 0.243863i
\(497\) −3.08682 3.74068i −0.138463 0.167792i
\(498\) −3.25914 + 1.88166i −0.146045 + 0.0843193i
\(499\) −14.7901 3.96298i −0.662094 0.177408i −0.0879031 0.996129i \(-0.528017\pi\)
−0.574191 + 0.818722i \(0.694683\pi\)
\(500\) −15.7380 15.7380i −0.703825 0.703825i
\(501\) −43.1990 43.1990i −1.92999 1.92999i
\(502\) 1.71342 + 0.459109i 0.0764736 + 0.0204910i
\(503\) 21.5683 12.4524i 0.961682 0.555227i 0.0649915 0.997886i \(-0.479298\pi\)
0.896690 + 0.442659i \(0.145965\pi\)
\(504\) 8.72492 + 3.25698i 0.388639 + 0.145077i
\(505\) 15.2169 4.07735i 0.677142 0.181440i
\(506\) 5.20697 3.00625i 0.231478 0.133644i
\(507\) −9.91072 31.0374i −0.440151 1.37842i
\(508\) 2.80212 4.85341i 0.124324 0.215335i
\(509\) 23.6813 + 23.6813i 1.04966 + 1.04966i 0.998701 + 0.0509546i \(0.0162264\pi\)
0.0509546 + 0.998701i \(0.483774\pi\)
\(510\) −2.05647 1.18730i −0.0910619 0.0525746i
\(511\) −2.18631 + 5.85677i −0.0967165 + 0.259088i
\(512\) −13.2395 + 13.2395i −0.585111 + 0.585111i
\(513\) 0.309189 + 1.15391i 0.0136510 + 0.0509464i
\(514\) 4.28926 4.28926i 0.189191 0.189191i
\(515\) −24.6201 + 6.59694i −1.08489 + 0.290696i
\(516\) 8.20638 + 4.73796i 0.361266 + 0.208577i
\(517\) 18.4327 31.9264i 0.810670 1.40412i
\(518\) 5.02498 + 3.58037i 0.220785 + 0.157312i
\(519\) 12.0296i 0.528039i
\(520\) −2.06579 + 5.34099i −0.0905907 + 0.234218i
\(521\) 19.8845 + 11.4803i 0.871155 + 0.502962i 0.867732 0.497032i \(-0.165577\pi\)
0.00342331 + 0.999994i \(0.498910\pi\)
\(522\) −4.98116 1.33470i −0.218019 0.0584181i
\(523\) 3.37998i 0.147796i 0.997266 + 0.0738980i \(0.0235439\pi\)
−0.997266 + 0.0738980i \(0.976456\pi\)
\(524\) −9.54015 16.5240i −0.416764 0.721856i
\(525\) −15.1637 10.8043i −0.661798 0.471540i
\(526\) 2.66785 + 0.714848i 0.116324 + 0.0311688i
\(527\) −13.3417 + 3.57491i −0.581175 + 0.155725i
\(528\) 10.5927 + 39.5327i 0.460990 + 1.72044i
\(529\) 0.0294194 0.00127910
\(530\) −5.29353 −0.229936
\(531\) −1.31564 4.91004i −0.0570939 0.213078i
\(532\) −3.01863 + 8.08642i −0.130874 + 0.350591i
\(533\) 1.82627 2.50027i 0.0791046 0.108299i
\(534\) −4.80470 8.32199i −0.207920 0.360128i
\(535\) 1.55460 5.80184i 0.0672111 0.250835i
\(536\) −0.292598 0.506794i −0.0126383 0.0218902i
\(537\) −13.9603 + 24.1800i −0.602432 + 1.04344i
\(538\) 2.00167 + 2.00167i 0.0862979 + 0.0862979i
\(539\) 32.0520 2.27457i 1.38058 0.0979726i
\(540\) −0.520139 + 1.94119i −0.0223832 + 0.0835353i
\(541\) −8.32634 + 31.0743i −0.357977 + 1.33599i 0.518719 + 0.854945i \(0.326409\pi\)
−0.876696 + 0.481044i \(0.840258\pi\)
\(542\) 0.893492i 0.0383788i
\(543\) 9.38621 5.41913i 0.402801 0.232557i
\(544\) 5.16222 5.16222i 0.221328 0.221328i
\(545\) 11.7282 0.502383
\(546\) −1.31557 + 6.39999i −0.0563014 + 0.273894i
\(547\) −13.1782 −0.563460 −0.281730 0.959494i \(-0.590908\pi\)
−0.281730 + 0.959494i \(0.590908\pi\)
\(548\) 0.741519 0.741519i 0.0316761 0.0316761i
\(549\) −27.7356 + 16.0132i −1.18373 + 0.683425i
\(550\) 3.52252i 0.150201i
\(551\) 2.52203 9.41234i 0.107442 0.400979i
\(552\) −3.33505 + 12.4466i −0.141949 + 0.529761i
\(553\) −1.07618 + 11.2374i −0.0457639 + 0.477864i
\(554\) −3.21995 3.21995i −0.136803 0.136803i
\(555\) −15.8322 + 27.4222i −0.672039 + 1.16401i
\(556\) 3.69599 + 6.40164i 0.156745 + 0.271490i
\(557\) −1.05682 + 3.94410i −0.0447788 + 0.167117i −0.984694 0.174290i \(-0.944237\pi\)
0.939916 + 0.341407i \(0.110903\pi\)
\(558\) −2.64477 4.58088i −0.111962 0.193924i
\(559\) −2.55421 + 6.60379i −0.108032 + 0.279311i
\(560\) −10.7483 + 8.86951i −0.454197 + 0.374805i
\(561\) −6.97247 26.0216i −0.294378 1.09863i
\(562\) −3.10000 −0.130766
\(563\) 20.4603 0.862298 0.431149 0.902281i \(-0.358108\pi\)
0.431149 + 0.902281i \(0.358108\pi\)
\(564\) 10.0298 + 37.4319i 0.422333 + 1.57617i
\(565\) 26.4039 7.07491i 1.11082 0.297644i
\(566\) −3.81191 1.02140i −0.160227 0.0429326i
\(567\) 2.03720 21.2723i 0.0855545 0.893354i
\(568\) −0.983208 1.70297i −0.0412545 0.0714549i
\(569\) 9.24906i 0.387741i 0.981027 + 0.193870i \(0.0621041\pi\)
−0.981027 + 0.193870i \(0.937896\pi\)
\(570\) 1.65978 + 0.444738i 0.0695207 + 0.0186280i
\(571\) 35.2658 + 20.3607i 1.47583 + 0.852069i 0.999628 0.0272690i \(-0.00868107\pi\)
0.476198 + 0.879338i \(0.342014\pi\)
\(572\) −29.1434 + 12.8869i −1.21855 + 0.538830i
\(573\) 15.8382i 0.661650i
\(574\) −0.564875 + 0.257781i −0.0235774 + 0.0107596i
\(575\) 6.72885 11.6547i 0.280613 0.486035i
\(576\) −17.7972 10.2752i −0.741549 0.428134i
\(577\) 10.5574 2.82885i 0.439511 0.117767i −0.0322762 0.999479i \(-0.510276\pi\)
0.471788 + 0.881712i \(0.343609\pi\)
\(578\) 2.22555 2.22555i 0.0925706 0.0925706i
\(579\) −7.72711 28.8380i −0.321128 1.19847i
\(580\) 11.5914 11.5914i 0.481305 0.481305i
\(581\) −2.40670 14.3364i −0.0998469 0.594774i
\(582\) 1.68246 + 0.971367i 0.0697401 + 0.0402644i
\(583\) −42.4648 42.4648i −1.75871 1.75871i
\(584\) −1.26737 + 2.19515i −0.0524441 + 0.0908358i
\(585\) −17.4158 1.87518i −0.720053 0.0775292i
\(586\) −3.89810 + 2.25057i −0.161029 + 0.0929703i
\(587\) 15.6037 4.18099i 0.644033 0.172568i 0.0780032 0.996953i \(-0.475146\pi\)
0.566029 + 0.824385i \(0.308479\pi\)
\(588\) −22.1335 + 25.5149i −0.912771 + 1.05222i
\(589\) 8.65597 4.99753i 0.356663 0.205920i
\(590\) −0.605463 0.162233i −0.0249265 0.00667904i
\(591\) −3.65298 3.65298i −0.150264 0.150264i
\(592\) −21.4656 21.4656i −0.882232 0.882232i
\(593\) −44.6856 11.9735i −1.83502 0.491691i −0.836594 0.547824i \(-0.815456\pi\)
−0.998423 + 0.0561324i \(0.982123\pi\)
\(594\) 0.765937 0.442214i 0.0314268 0.0181443i
\(595\) 7.07482 5.83818i 0.290040 0.239342i
\(596\) −43.4987 + 11.6554i −1.78178 + 0.477425i
\(597\) −40.2902 + 23.2616i −1.64897 + 0.952033i
\(598\) −4.69543 0.505564i −0.192011 0.0206741i
\(599\) 5.89887 10.2171i 0.241021 0.417461i −0.719984 0.693990i \(-0.755851\pi\)
0.961005 + 0.276529i \(0.0891843\pi\)
\(600\) −5.33814 5.33814i −0.217929 0.217929i
\(601\) 11.5727 + 6.68152i 0.472062 + 0.272545i 0.717102 0.696968i \(-0.245468\pi\)
−0.245041 + 0.969513i \(0.578801\pi\)
\(602\) 1.09518 0.903748i 0.0446363 0.0368340i
\(603\) 1.26572 1.26572i 0.0515439 0.0515439i
\(604\) 3.28503 + 12.2599i 0.133666 + 0.498848i
\(605\) 10.5440 10.5440i 0.428676 0.428676i
\(606\) 7.03952 1.88623i 0.285961 0.0766230i
\(607\) 29.5465 + 17.0587i 1.19926 + 0.692392i 0.960390 0.278660i \(-0.0898904\pi\)
0.238868 + 0.971052i \(0.423224\pi\)
\(608\) −2.64142 + 4.57508i −0.107124 + 0.185544i
\(609\) 22.1275 31.0556i 0.896653 1.25844i
\(610\) 3.94921i 0.159899i
\(611\) −26.4827 + 11.7104i −1.07138 + 0.473753i
\(612\) 12.8114 + 7.39665i 0.517869 + 0.298992i
\(613\) 3.92990 + 1.05301i 0.158727 + 0.0425308i 0.337307 0.941395i \(-0.390484\pi\)
−0.178580 + 0.983925i \(0.557150\pi\)
\(614\) 3.19847i 0.129080i
\(615\) −1.59325 2.75959i −0.0642461 0.111277i
\(616\) 12.9691 + 1.24202i 0.522540 + 0.0500424i
\(617\) −17.7169 4.74724i −0.713257 0.191117i −0.116096 0.993238i \(-0.537038\pi\)
−0.597161 + 0.802121i \(0.703705\pi\)
\(618\) −11.3896 + 3.05183i −0.458156 + 0.122763i
\(619\) −9.38547 35.0270i −0.377234 1.40786i −0.850053 0.526697i \(-0.823430\pi\)
0.472820 0.881159i \(-0.343236\pi\)
\(620\) 16.8144 0.675281
\(621\) −3.37894 −0.135592
\(622\) 0.912620 + 3.40595i 0.0365927 + 0.136566i
\(623\) 36.6071 6.14536i 1.46663 0.246209i
\(624\) 11.5965 29.9822i 0.464231 1.20025i
\(625\) −1.53798 2.66385i −0.0615191 0.106554i
\(626\) −0.421691 + 1.57377i −0.0168542 + 0.0629006i
\(627\) 9.74713 + 16.8825i 0.389263 + 0.674223i
\(628\) −10.5521 + 18.2767i −0.421074 + 0.729321i
\(629\) 14.1293 + 14.1293i 0.563373 + 0.563373i
\(630\) 2.86081 + 2.03837i 0.113978 + 0.0812106i
\(631\) 6.52992 24.3700i 0.259952 0.970153i −0.705316 0.708893i \(-0.749195\pi\)
0.965268 0.261261i \(-0.0841383\pi\)
\(632\) −1.18465 + 4.42119i −0.0471230 + 0.175866i
\(633\) 7.03594i 0.279654i
\(634\) 3.06194 1.76781i 0.121605 0.0702087i
\(635\) 3.04739 3.04739i 0.120932 0.120932i
\(636\) 63.1280 2.50319
\(637\) −21.3836 13.4068i −0.847249 0.531195i
\(638\) −7.21420 −0.285613
\(639\) 4.25315 4.25315i 0.168252 0.168252i
\(640\) −10.1897 + 5.88301i −0.402782 + 0.232546i
\(641\) 11.3468i 0.448171i 0.974570 + 0.224085i \(0.0719394\pi\)
−0.974570 + 0.224085i \(0.928061\pi\)
\(642\) 0.719177 2.68401i 0.0283837 0.105929i
\(643\) −2.92632 + 10.9212i −0.115403 + 0.430690i −0.999317 0.0369602i \(-0.988233\pi\)
0.883914 + 0.467650i \(0.154899\pi\)
\(644\) −19.8830 14.1669i −0.783501 0.558255i
\(645\) 5.15267 + 5.15267i 0.202886 + 0.202886i
\(646\) 0.542179 0.939082i 0.0213318 0.0369477i
\(647\) 9.64081 + 16.6984i 0.379020 + 0.656481i 0.990920 0.134454i \(-0.0429280\pi\)
−0.611900 + 0.790935i \(0.709595\pi\)
\(648\) 2.24254 8.36927i 0.0880953 0.328776i
\(649\) −3.55560 6.15848i −0.139569 0.241741i
\(650\) 1.63196 2.23425i 0.0640108 0.0876346i
\(651\) 38.5736 6.47549i 1.51182 0.253794i
\(652\) −1.92681 7.19096i −0.0754598 0.281620i
\(653\) 3.98817 0.156069 0.0780346 0.996951i \(-0.475136\pi\)
0.0780346 + 0.996951i \(0.475136\pi\)
\(654\) 5.42564 0.212159
\(655\) −3.79759 14.1728i −0.148384 0.553777i
\(656\) 2.95084 0.790674i 0.115211 0.0308706i
\(657\) −7.48906 2.00669i −0.292176 0.0782883i
\(658\) 5.78042 + 0.553578i 0.225344 + 0.0215807i
\(659\) −13.3526 23.1273i −0.520143 0.900913i −0.999726 0.0234170i \(-0.992545\pi\)
0.479583 0.877496i \(-0.340788\pi\)
\(660\) 32.7946i 1.27653i
\(661\) 13.7159 + 3.67516i 0.533486 + 0.142947i 0.515498 0.856891i \(-0.327607\pi\)
0.0179886 + 0.999838i \(0.494274\pi\)
\(662\) 2.36509 + 1.36549i 0.0919220 + 0.0530712i
\(663\) −7.63316 + 19.7352i −0.296447 + 0.766451i
\(664\) 5.89415i 0.228738i
\(665\) −3.85168 + 5.40576i −0.149362 + 0.209627i
\(666\) −3.82609 + 6.62699i −0.148258 + 0.256790i
\(667\) 23.8691 + 13.7808i 0.924216 + 0.533596i
\(668\) 45.3325 12.1468i 1.75397 0.469974i
\(669\) −28.7457 + 28.7457i −1.11137 + 1.11137i
\(670\) −0.0571282 0.213205i −0.00220705 0.00823684i
\(671\) −31.6806 + 31.6806i −1.22302 + 1.22302i
\(672\) −15.9451 + 13.1580i −0.615097 + 0.507581i
\(673\) 34.5521 + 19.9487i 1.33189 + 0.768965i 0.985589 0.169159i \(-0.0541052\pi\)
0.346298 + 0.938124i \(0.387439\pi\)
\(674\) −3.38809 3.38809i −0.130505 0.130505i
\(675\) 0.989804 1.71439i 0.0380976 0.0659869i
\(676\) 24.4554 + 5.32806i 0.940592 + 0.204926i
\(677\) 5.68825 3.28411i 0.218617 0.126219i −0.386693 0.922209i \(-0.626383\pi\)
0.605310 + 0.795990i \(0.293049\pi\)
\(678\) 12.2148 3.27294i 0.469106 0.125697i
\(679\) −5.78812 + 4.77638i −0.222128 + 0.183301i
\(680\) 3.22086 1.85956i 0.123514 0.0713110i
\(681\) 4.24906 + 1.13853i 0.162824 + 0.0436286i
\(682\) −5.23244 5.23244i −0.200361 0.200361i
\(683\) 8.25678 + 8.25678i 0.315937 + 0.315937i 0.847204 0.531267i \(-0.178284\pi\)
−0.531267 + 0.847204i \(0.678284\pi\)
\(684\) −10.3401 2.77063i −0.395364 0.105938i
\(685\) 0.698384 0.403212i 0.0266839 0.0154060i
\(686\) 2.42197 + 4.44427i 0.0924711 + 0.169683i
\(687\) 26.9785 7.22888i 1.02930 0.275799i
\(688\) −6.05014 + 3.49305i −0.230659 + 0.133171i
\(689\) 7.26076 + 46.6080i 0.276613 + 1.77563i
\(690\) −2.43013 + 4.20911i −0.0925135 + 0.160238i
\(691\) 13.9233 + 13.9233i 0.529669 + 0.529669i 0.920474 0.390805i \(-0.127803\pi\)
−0.390805 + 0.920474i \(0.627803\pi\)
\(692\) −8.00308 4.62058i −0.304231 0.175648i
\(693\) 6.59766 + 39.3014i 0.250625 + 1.49294i
\(694\) 5.07347 5.07347i 0.192586 0.192586i
\(695\) 1.47124 + 5.49074i 0.0558073 + 0.208276i
\(696\) 10.9326 10.9326i 0.414400 0.414400i
\(697\) −1.94233 + 0.520446i −0.0735710 + 0.0197133i
\(698\) −2.65309 1.53176i −0.100421 0.0579780i
\(699\) 25.5204 44.2027i 0.965271 1.67190i
\(700\) 13.0124 5.93820i 0.491821 0.224443i
\(701\) 1.58634i 0.0599153i −0.999551 0.0299577i \(-0.990463\pi\)
0.999551 0.0299577i \(-0.00953725\pi\)
\(702\) −0.690691 0.0743677i −0.0260684 0.00280683i
\(703\) −12.5223 7.22974i −0.472287 0.272675i
\(704\) −27.7694 7.44078i −1.04660 0.280435i
\(705\) 29.8006i 1.12235i
\(706\) 0.957033 + 1.65763i 0.0360184 + 0.0623857i
\(707\) −2.68373 + 28.0234i −0.100932 + 1.05393i
\(708\) 7.22047 + 1.93472i 0.271362 + 0.0727111i
\(709\) 16.6679 4.46614i 0.625975 0.167730i 0.0681325 0.997676i \(-0.478296\pi\)
0.557843 + 0.829947i \(0.311629\pi\)
\(710\) −0.191966 0.716428i −0.00720437 0.0268871i
\(711\) −14.0006 −0.525063
\(712\) 15.0503 0.564035
\(713\) 7.31700 + 27.3074i 0.274024 + 1.02267i
\(714\) 3.27291 2.70082i 0.122485 0.101075i
\(715\) −24.2125 + 3.77191i −0.905498 + 0.141061i
\(716\) −10.7244 18.5751i −0.400788 0.694186i
\(717\) 13.4080 50.0394i 0.500732 1.86876i
\(718\) 0.698463 + 1.20977i 0.0260664 + 0.0451483i
\(719\) 11.5856 20.0668i 0.432069 0.748365i −0.564983 0.825103i \(-0.691117\pi\)
0.997051 + 0.0767379i \(0.0244505\pi\)
\(720\) −12.2208 12.2208i −0.455441 0.455441i
\(721\) 4.34215 45.3404i 0.161710 1.68856i
\(722\) 1.14082 4.25761i 0.0424570 0.158452i
\(723\) 9.26120 34.5633i 0.344428 1.28542i
\(724\) 8.32600i 0.309433i
\(725\) −13.9841 + 8.07374i −0.519358 + 0.299851i
\(726\) 4.87781 4.87781i 0.181032 0.181032i
\(727\) −18.3365 −0.680062 −0.340031 0.940414i \(-0.610438\pi\)
−0.340031 + 0.940414i \(0.610438\pi\)
\(728\) −7.65057 6.79628i −0.283549 0.251887i
\(729\) 31.8037 1.17792
\(730\) −0.676038 + 0.676038i −0.0250213 + 0.0250213i
\(731\) 3.98239 2.29923i 0.147294 0.0850401i
\(732\) 47.0963i 1.74073i
\(733\) −5.26026 + 19.6316i −0.194292 + 0.725108i 0.798157 + 0.602450i \(0.205809\pi\)
−0.992449 + 0.122658i \(0.960858\pi\)
\(734\) −1.29987 + 4.85119i −0.0479791 + 0.179061i
\(735\) −21.5190 + 14.5471i −0.793740 + 0.536578i
\(736\) −10.5659 10.5659i −0.389463 0.389463i
\(737\) 1.25205 2.16862i 0.0461200 0.0798822i
\(738\) −0.385033 0.666897i −0.0141733 0.0245488i
\(739\) −8.59704 + 32.0846i −0.316247 + 1.18025i 0.606576 + 0.795026i \(0.292543\pi\)
−0.922823 + 0.385225i \(0.874124\pi\)
\(740\) −12.1624 21.0658i −0.447097 0.774395i
\(741\) 1.63919 15.2240i 0.0602170 0.559266i
\(742\) 3.30819 8.86212i 0.121448 0.325339i
\(743\) 1.88756 + 7.04445i 0.0692477 + 0.258436i 0.991868 0.127275i \(-0.0406230\pi\)
−0.922620 + 0.385711i \(0.873956\pi\)
\(744\) 15.8588 0.581413
\(745\) −34.6305 −1.26876
\(746\) −1.47491 5.50442i −0.0540001 0.201531i
\(747\) 17.4147 4.66625i 0.637170 0.170729i
\(748\) 19.9899 + 5.35628i 0.730903 + 0.195845i
\(749\) 8.74156 + 6.22848i 0.319410 + 0.227584i
\(750\) −3.95894 6.85709i −0.144560 0.250385i
\(751\) 7.15760i 0.261185i 0.991436 + 0.130592i \(0.0416879\pi\)
−0.991436 + 0.130592i \(0.958312\pi\)
\(752\) −27.5966 7.39449i −1.00634 0.269649i
\(753\) −14.0882 8.13380i −0.513401 0.296412i
\(754\) 4.57580 + 3.34229i 0.166641 + 0.121719i
\(755\) 9.76045i 0.355219i
\(756\) −2.92476 2.08393i −0.106373 0.0757919i
\(757\) 7.08185 12.2661i 0.257394 0.445820i −0.708149 0.706063i \(-0.750469\pi\)
0.965543 + 0.260243i \(0.0838027\pi\)
\(758\) −6.60245 3.81192i −0.239812 0.138455i
\(759\) −53.2601 + 14.2710i −1.93322 + 0.518005i
\(760\) −1.90302 + 1.90302i −0.0690296 + 0.0690296i
\(761\) 3.73637 + 13.9443i 0.135443 + 0.505481i 0.999996 + 0.00293843i \(0.000935334\pi\)
−0.864552 + 0.502543i \(0.832398\pi\)
\(762\) 1.40976 1.40976i 0.0510703 0.0510703i
\(763\) −7.32958 + 19.6348i −0.265349 + 0.710826i
\(764\) 10.5369 + 6.08348i 0.381212 + 0.220093i
\(765\) 8.04408 + 8.04408i 0.290834 + 0.290834i
\(766\) −3.35853 + 5.81714i −0.121349 + 0.210182i
\(767\) −0.597949 + 5.55346i −0.0215907 + 0.200524i
\(768\) 22.4731 12.9748i 0.810926 0.468189i
\(769\) −48.9223 + 13.1087i −1.76418 + 0.472711i −0.987559 0.157252i \(-0.949737\pi\)
−0.776625 + 0.629963i \(0.783070\pi\)
\(770\) 4.60381 + 1.71858i 0.165910 + 0.0619334i
\(771\) −48.1761 + 27.8145i −1.73502 + 1.00171i
\(772\) 22.1535 + 5.93600i 0.797320 + 0.213641i
\(773\) −8.28259 8.28259i −0.297904 0.297904i 0.542288 0.840192i \(-0.317558\pi\)
&minu