Properties

Label 91.2.ba.a.89.4
Level $91$
Weight $2$
Character 91.89
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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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 89.4
Character \(\chi\) \(=\) 91.89
Dual form 91.2.ba.a.45.4

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.193244 0.193244i −0.136644 0.136644i 0.635476 0.772120i \(-0.280804\pi\)
−0.772120 + 0.635476i \(0.780804\pi\)
\(3\) 2.17048 + 1.25313i 1.25313 + 0.723493i 0.971729 0.236099i \(-0.0758689\pi\)
0.281397 + 0.959591i \(0.409202\pi\)
\(4\) 1.92531i 0.962657i
\(5\) −0.383199 1.43012i −0.171372 0.639568i −0.997141 0.0755602i \(-0.975925\pi\)
0.825770 0.564008i \(-0.190741\pi\)
\(6\) −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 0.876386 + 0.481609i \(0.159948\pi\)
−0.518168 + 0.855279i \(0.673386\pi\)
\(12\) 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 0.0661367 0.997811i \(-0.478933\pi\)
−0.441629 + 0.897198i \(0.645599\pi\)
\(20\) −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 \(0.166549\pi\)
−0.866210 + 0.499680i \(0.833451\pi\)
\(24\) −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 −0.999214 0.0396419i \(-0.987378\pi\)
0.465276 0.885166i \(-0.345955\pi\)
\(30\) −0.878222 + 0.507042i −0.160341 + 0.0925727i
\(31\) −5.69764 1.52668i −1.02333 0.274199i −0.292139 0.956376i \(-0.594367\pi\)
−0.731187 + 0.682177i \(0.761033\pi\)
\(32\) 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 −0.00798866 0.999968i \(-0.502543\pi\)
0.999968 + 0.00798866i \(0.00254290\pi\)
\(38\) 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 0.193465 0.981107i \(-0.438027\pi\)
−0.323008 + 0.946396i \(0.604694\pi\)
\(42\) 1.39771 + 1.15339i 0.215671 + 0.177972i
\(43\) 1.70069 + 0.981895i 0.259353 + 0.149738i 0.624039 0.781393i \(-0.285490\pi\)
−0.364686 + 0.931130i \(0.618824\pi\)
\(44\) 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 0.355990 0.934490i \(-0.384144\pi\)
0.775542 + 0.631297i \(0.217477\pi\)
\(48\) −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 0.829386 + 0.558677i \(0.188691\pi\)
0.0691354 + 0.997607i \(0.477976\pi\)
\(54\) 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 0.774808 0.632197i \(-0.217847\pi\)
−0.632197 + 0.774808i \(0.717847\pi\)
\(60\) −6.90078 1.84906i −0.890886 0.238712i
\(61\) −8.45262 + 4.88012i −1.08225 + 0.624836i −0.931502 0.363737i \(-0.881501\pi\)
−0.150746 + 0.988573i \(0.548167\pi\)
\(62\) 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 −0.226488 0.974014i \(-0.572724\pi\)
0.290862 + 0.956765i \(0.406058\pi\)
\(68\) 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 −0.152217 0.988347i \(-0.548641\pi\)
0.362350 + 0.932042i \(0.381975\pi\)
\(72\) −3.40005 0.911040i −0.400699 0.107367i
\(73\) −0.611552 + 2.28234i −0.0715768 + 0.267128i −0.992435 0.122769i \(-0.960823\pi\)
0.920859 + 0.389897i \(0.127489\pi\)
\(74\) −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 −0.960721 0.277516i \(-0.910489\pi\)
0.720696 + 0.693251i \(0.243822\pi\)
\(80\) 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 −0.460965 0.887419i \(-0.652496\pi\)
0.887419 + 0.460965i \(0.152496\pi\)
\(84\) 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 −0.998596 0.0529806i \(-0.983128\pi\)
−0.0529806 0.998596i \(-0.516872\pi\)
\(90\) −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 0.993128 0.117032i \(-0.0373380\pi\)
−0.918590 + 0.395212i \(0.870671\pi\)
\(98\) −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 0.470039 + 0.882646i \(0.344240\pi\)
−0.999413 + 0.0342575i \(0.989093\pi\)
\(102\) −0.415107 1.54920i −0.0411017 0.153394i
\(103\) 8.60773 14.9090i 0.848145 1.46903i −0.0347173 0.999397i \(-0.511053\pi\)
0.882862 0.469633i \(-0.155614\pi\)
\(104\) 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 0.795531 + 0.605914i \(0.207192\pi\)
−0.991906 + 0.126971i \(0.959474\pi\)
\(110\) −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 −0.00479920 + 0.999988i \(0.501528\pi\)
−0.863616 + 0.504150i \(0.831806\pi\)
\(114\) 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 −0.607657 0.794200i \(-0.707890\pi\)
0.383968 + 0.923346i \(0.374557\pi\)
\(128\) 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 0.0757847 0.997124i \(-0.475854\pi\)
−0.825643 + 0.564194i \(0.809187\pi\)
\(132\) 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 −0.723368 0.690463i \(-0.757407\pi\)
0.690463 + 0.723368i \(0.257407\pi\)
\(138\) 3.17085 0.849626i 0.269921 0.0723250i
\(139\) 3.32499 + 1.91968i 0.282022 + 0.162825i 0.634338 0.773056i \(-0.281273\pi\)
−0.352317 + 0.935881i \(0.614606\pi\)
\(140\) 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 −0.0287228 0.999587i \(-0.509144\pi\)
0.524668 0.851307i \(-0.324189\pi\)
\(150\) −1.35993 1.35993i −0.111038 0.111038i
\(151\) 6.36774 + 1.70623i 0.518200 + 0.138851i 0.508434 0.861101i \(-0.330225\pi\)
0.00976596 + 0.999952i \(0.496891\pi\)
\(152\) 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 −0.0708249 0.997489i \(-0.522563\pi\)
0.828438 + 0.560081i \(0.189230\pi\)
\(158\) 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 0.109562 0.993980i \(-0.465055\pi\)
−0.402106 + 0.915593i \(0.631722\pi\)
\(164\) −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 0.0769673 + 0.997034i \(0.475476\pi\)
−0.565172 + 0.824973i \(0.691190\pi\)
\(168\) 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 0.760257 0.649623i \(-0.225073\pi\)
−0.942718 + 0.333590i \(0.891740\pi\)
\(174\) −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 0.0940481 0.995568i \(-0.470019\pi\)
−0.815163 + 0.579232i \(0.803353\pi\)
\(180\) −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 0.957402 0.288757i \(-0.0932420\pi\)
−0.728772 + 0.684756i \(0.759909\pi\)
\(192\) −7.84819 + 13.5935i −0.566394 + 0.981024i
\(193\) 3.08313 + 11.5064i 0.221929 + 0.828250i 0.983612 + 0.180300i \(0.0577068\pi\)
−0.761683 + 0.647950i \(0.775627\pi\)
\(194\) 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 −0.982323 0.187192i \(-0.940061\pi\)
0.944313 + 0.329048i \(0.106728\pi\)
\(198\) 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 0.813656 0.581347i \(-0.197474\pi\)
−0.910289 + 0.413973i \(0.864141\pi\)
\(212\) 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 −0.307274 0.951621i \(-0.599417\pi\)
−0.741917 + 0.670491i \(0.766083\pi\)
\(224\) −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 −0.664719 0.747094i \(-0.731449\pi\)
0.747094 + 0.664719i \(0.231449\pi\)
\(228\) −5.78157 + 5.78157i −0.382894 + 0.382894i
\(229\) 10.7645 2.88434i 0.711338 0.190602i 0.115034 0.993362i \(-0.463302\pi\)
0.596304 + 0.802759i \(0.296635\pi\)
\(230\) −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 0.950206 0.311623i \(-0.100872\pi\)
0.205230 + 0.978714i \(0.434206\pi\)
\(234\) −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 0.998586 0.0531558i \(-0.0169280\pi\)
−0.0531558 + 0.998586i \(0.516928\pi\)
\(240\) −3.41656 + 12.7508i −0.220538 + 0.823059i
\(241\) 10.0956 + 10.0956i 0.650314 + 0.650314i 0.953069 0.302755i \(-0.0979063\pi\)
−0.302755 + 0.953069i \(0.597906\pi\)
\(242\) 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 −0.950084 0.311993i \(-0.899003\pi\)
0.745236 + 0.666801i \(0.232337\pi\)
\(252\) −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 −0.978708 0.205260i \(-0.934196\pi\)
0.667114 + 0.744956i \(0.267529\pi\)
\(264\) −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 \(0.102265\pi\)
−0.948834 + 0.315776i \(0.897735\pi\)
\(270\) −0.247044 0.142631i −0.0150346 0.00868022i
\(271\) −2.31182 2.31182i −0.140433 0.140433i 0.633395 0.773828i \(-0.281661\pi\)
−0.773828 + 0.633395i \(0.781661\pi\)
\(272\) −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 \(-0.833120\pi\)
0.865690 0.500580i \(-0.166880\pi\)
\(278\) −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 −0.426159 0.904648i \(-0.640134\pi\)
0.904648 + 0.426159i \(0.140134\pi\)
\(282\) −2.75035 4.76374i −0.163781 0.283677i
\(283\) 7.22018 12.5057i 0.429195 0.743388i −0.567607 0.823300i \(-0.692131\pi\)
0.996802 + 0.0799119i \(0.0254639\pi\)
\(284\) −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 0.237812 0.971311i \(-0.423570\pi\)
0.691607 + 0.722274i \(0.256903\pi\)
\(294\) −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 0.430344 0.902665i \(-0.358392\pi\)
−0.902665 + 0.430344i \(0.858392\pi\)
\(308\) −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 0.988907 0.148538i \(-0.0474566\pi\)
−0.623091 + 0.782150i \(0.714123\pi\)
\(312\) 8.86566 + 3.92031i 0.501919 + 0.221944i
\(313\) 5.16307 + 2.98090i 0.291834 + 0.168490i 0.638769 0.769399i \(-0.279444\pi\)
−0.346935 + 0.937889i \(0.612777\pi\)
\(314\) −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 −0.592070 0.805887i \(-0.701689\pi\)
−0.109804 + 0.993953i \(0.535022\pi\)
\(318\) 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 0.857705 + 0.514142i \(0.171890\pi\)
−0.999865 + 0.0164080i \(0.994777\pi\)
\(332\) −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 \(-0.841531\pi\)
0.878613 0.477534i \(-0.158469\pi\)
\(338\) 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 −0.843775 0.536698i \(-0.819672\pi\)
0.999079 0.0429064i \(-0.0136617\pi\)
\(350\) 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 0.997240 0.0742463i \(-0.0236551\pi\)
−0.900758 + 0.434321i \(0.856988\pi\)
\(354\) 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 0.992010 0.126161i \(-0.0402657\pi\)
−0.922186 + 0.386746i \(0.873599\pi\)
\(360\) 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 0.854116 0.520082i \(-0.174099\pi\)
−0.0233461 + 0.999727i \(0.507432\pi\)
\(368\) 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 −0.998912 0.0466277i \(-0.985153\pi\)
0.459075 0.888397i \(-0.348181\pi\)
\(374\) 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 −0.488399 0.872620i \(-0.662419\pi\)
0.859276 0.511512i \(-0.170914\pi\)
\(380\) 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 0.807984 0.589204i \(-0.200559\pi\)
0.405132 + 0.914258i \(0.367225\pi\)
\(384\) 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 0.145663 0.989334i \(-0.453468\pi\)
0.929620 + 0.368519i \(0.120135\pi\)
\(390\) 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 0.718480 + 0.695548i \(0.244838\pi\)
−0.969996 + 0.243122i \(0.921828\pi\)
\(398\) 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 −0.900970 0.433881i \(-0.857144\pi\)
0.433881 + 0.900970i \(0.357144\pi\)
\(402\) −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 −0.121857 0.992548i \(-0.538885\pi\)
0.992548 + 0.121857i \(0.0388848\pi\)
\(410\) 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 −0.117703 0.993049i \(-0.537553\pi\)
0.801154 + 0.598458i \(0.204220\pi\)
\(420\) 17.7082 6.61040i 0.864072 0.322555i
\(421\) −12.8050 12.8050i −0.624080 0.624080i 0.322492 0.946572i \(-0.395479\pi\)
−0.946572 + 0.322492i \(0.895479\pi\)
\(422\) −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 −0.738261 0.674515i \(-0.764353\pi\)
−0.302096 + 0.953278i \(0.597686\pi\)
\(432\) 2.50804i 0.120668i
\(433\) −9.21467 + 15.9603i −0.442829 + 0.767002i −0.997898 0.0648019i \(-0.979358\pi\)
0.555069 + 0.831804i \(0.312692\pi\)
\(434\) −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 −0.264509 0.964383i \(-0.585210\pi\)
0.967435 0.253120i \(-0.0814567\pi\)
\(444\) −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 0.881151 0.472834i \(-0.156769\pi\)
−0.999517 + 0.0310893i \(0.990102\pi\)
\(450\) −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 0.987228 + 0.159312i \(0.0509275\pi\)
0.159312 + 0.987228i \(0.449073\pi\)
\(458\) −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 0.999220 0.0394858i \(-0.0125720\pi\)
−0.885093 + 0.465414i \(0.845905\pi\)
\(462\) −3.45351 + 7.56768i −0.160672 + 0.352081i
\(463\) 3.59580 3.59580i 0.167111 0.167111i −0.618597 0.785708i \(-0.712299\pi\)
0.785708 + 0.618597i \(0.212299\pi\)
\(464\) 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 0.439470 + 0.898257i \(0.355166\pi\)
−0.997649 + 0.0685368i \(0.978167\pi\)
\(468\) −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 −0.755063 0.655652i \(-0.772394\pi\)
−0.326078 + 0.945343i \(0.605727\pi\)
\(480\) 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 −0.965951 0.258727i \(-0.916697\pi\)
−0.258727 0.965951i \(-0.583303\pi\)
\(488\) 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 −0.251453 0.967869i \(-0.580908\pi\)
0.712473 + 0.701700i \(0.247575\pi\)
\(492\) −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 −0.574191 0.818722i \(-0.694683\pi\)
−0.0879031 + 0.996129i \(0.528017\pi\)
\(500\) −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 0.896690 0.442659i \(-0.145965\pi\)
0.0649915 + 0.997886i \(0.479298\pi\)
\(504\) 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 0.0509546 0.998701i \(-0.483774\pi\)
0.998701 0.0509546i \(-0.0162264\pi\)
\(510\) −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 0.00342331 0.999994i \(-0.498910\pi\)
0.867732 + 0.497032i \(0.165577\pi\)
\(522\) −4.98116 + 1.33470i −0.218019 + 0.0584181i
\(523\) 3.37998i 0.147796i −0.997266 0.0738980i \(-0.976456\pi\)
0.997266 0.0738980i \(-0.0235439\pi\)
\(524\) −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 −0.876696 0.481044i \(-0.840258\pi\)
0.518719 0.854945i \(-0.326409\pi\)
\(542\) 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 0.939916 0.341407i \(-0.110903\pi\)
−0.984694 + 0.174290i \(0.944237\pi\)
\(558\) −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 \(-0.937896\pi\)
0.981027 0.193870i \(-0.0621041\pi\)
\(570\) 1.65978 0.444738i 0.0695207 0.0186280i
\(571\) 35.2658 20.3607i 1.47583 0.852069i 0.476198 0.879338i \(-0.342014\pi\)
0.999628 + 0.0272690i \(0.00868107\pi\)
\(572\) −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 0.471788 0.881712i \(-0.343609\pi\)
−0.0322762 + 0.999479i \(0.510276\pi\)
\(578\) 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 0.566029 0.824385i \(-0.308479\pi\)
0.0780032 + 0.996953i \(0.475146\pi\)
\(588\) −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 −0.998423 0.0561324i \(-0.982123\pi\)
−0.836594 + 0.547824i \(0.815456\pi\)
\(594\) 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 0.961005 0.276529i \(-0.0891843\pi\)
−0.719984 + 0.693990i \(0.755851\pi\)
\(600\) −5.33814 + 5.33814i −0.217929 + 0.217929i
\(601\) 11.5727 6.68152i 0.472062 0.272545i −0.245041 0.969513i \(-0.578801\pi\)
0.717102 + 0.696968i \(0.245468\pi\)
\(602\) 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 0.238868 0.971052i \(-0.423224\pi\)
0.960390 + 0.278660i \(0.0898904\pi\)
\(608\) −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 −0.178580 0.983925i \(-0.557150\pi\)
0.337307 + 0.941395i \(0.390484\pi\)
\(614\) 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 −0.597161 0.802121i \(-0.703705\pi\)
−0.116096 + 0.993238i \(0.537038\pi\)
\(618\) −11.3896 3.05183i −0.458156 0.122763i
\(619\) −9.38547 + 35.0270i −0.377234 + 1.40786i 0.472820 + 0.881159i \(0.343236\pi\)
−0.850053 + 0.526697i \(0.823430\pi\)
\(620\) 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 0.965268 + 0.261261i \(0.0841383\pi\)
−0.705316 + 0.708893i \(0.749195\pi\)
\(632\) −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 \(-0.928061\pi\)
0.974570 0.224085i \(-0.0719394\pi\)
\(642\) 0.719177 + 2.68401i 0.0283837 + 0.105929i
\(643\) −2.92632 10.9212i −0.115403 0.430690i 0.883914 0.467650i \(-0.154899\pi\)
−0.999317 + 0.0369602i \(0.988233\pi\)
\(644\) −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 −0.611900 0.790935i \(-0.709595\pi\)
0.990920 + 0.134454i \(0.0429280\pi\)
\(648\) 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 0.479583 + 0.877496i \(0.340788\pi\)
−0.999726 + 0.0234170i \(0.992545\pi\)
\(660\) 32.7946i 1.27653i
\(661\) 13.7159 3.67516i 0.533486 0.142947i 0.0179886 0.999838i \(-0.494274\pi\)
0.515498 + 0.856891i \(0.327607\pi\)
\(662\) 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 0.346298 0.938124i \(-0.387439\pi\)
0.985589 + 0.169159i \(0.0541052\pi\)
\(674\) −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 0.605310 0.795990i \(-0.293049\pi\)
−0.386693 + 0.922209i \(0.626383\pi\)
\(678\) 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 −0.531267 0.847204i \(-0.678284\pi\)
0.847204 + 0.531267i \(0.178284\pi\)
\(684\) −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 −0.390805 0.920474i \(-0.627803\pi\)
0.920474 + 0.390805i \(0.127803\pi\)
\(692\) −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 \(0.00953725\pi\)
−0.999551 + 0.0299577i \(0.990463\pi\)
\(702\) −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 0.557843 0.829947i \(-0.311629\pi\)
0.0681325 + 0.997676i \(0.478296\pi\)
\(710\) −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 0.997051 0.0767379i \(-0.0244505\pi\)
−0.564983 + 0.825103i \(0.691117\pi\)
\(720\) −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 −0.992449 0.122658i \(-0.960858\pi\)
0.798157 0.602450i \(-0.205809\pi\)
\(734\) −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 −0.922823 0.385225i \(-0.874124\pi\)
0.606576 0.795026i \(-0.292543\pi\)
\(740\) −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 −0.922620 0.385711i \(-0.873956\pi\)
0.991868 + 0.127275i \(0.0406230\pi\)
\(744\) 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 \(-0.958312\pi\)
0.991436 0.130592i \(-0.0416879\pi\)
\(752\) −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 0.965543 0.260243i \(-0.0838027\pi\)
−0.708149 + 0.706063i \(0.750469\pi\)
\(758\) −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 −0.864552 0.502543i \(-0.832398\pi\)
0.999996 0.00293843i \(-0.000935334\pi\)
\(762\) 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 −0.776625 0.629963i \(-0.783070\pi\)
−0.987559 + 0.157252i \(0.949737\pi\)
\(770\) 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 −0.840192 0.542288i \(-0.817558\pi\)