Properties

Label 91.2.ba.a.45.6
Level $91$
Weight $2$
Character 91.45
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 45.6
Character \(\chi\) \(=\) 91.45
Dual form 91.2.ba.a.89.6

$q$-expansion

\(f(q)\) \(=\) \(q+(1.14693 - 1.14693i) q^{2} +(-0.445073 + 0.256963i) q^{3} -0.630890i q^{4} +(0.395109 - 1.47457i) q^{5} +(-0.215749 + 0.805186i) q^{6} +(0.0531605 - 2.64522i) q^{7} +(1.57027 + 1.57027i) q^{8} +(-1.36794 + 2.36934i) q^{9} +O(q^{10})\) \(q+(1.14693 - 1.14693i) q^{2} +(-0.445073 + 0.256963i) q^{3} -0.630890i q^{4} +(0.395109 - 1.47457i) q^{5} +(-0.215749 + 0.805186i) q^{6} +(0.0531605 - 2.64522i) q^{7} +(1.57027 + 1.57027i) q^{8} +(-1.36794 + 2.36934i) q^{9} +(-1.23806 - 2.14439i) q^{10} +(-0.745574 + 2.78252i) q^{11} +(0.162115 + 0.280792i) q^{12} +(-2.94467 + 2.08061i) q^{13} +(-2.97290 - 3.09485i) q^{14} +(0.203057 + 0.757819i) q^{15} +4.86376 q^{16} -6.21574 q^{17} +(1.14854 + 4.28639i) q^{18} +(2.23387 - 0.598564i) q^{19} +(-0.930289 - 0.249270i) q^{20} +(0.656063 + 1.19098i) q^{21} +(2.33623 + 4.04647i) q^{22} -5.62238i q^{23} +(-1.10239 - 0.295384i) q^{24} +(2.31189 + 1.33477i) q^{25} +(-0.991014 + 5.76363i) q^{26} -2.94782i q^{27} +(-1.66884 - 0.0335384i) q^{28} +(0.379237 - 0.656858i) q^{29} +(1.10206 + 0.636273i) q^{30} +(8.36292 - 2.24084i) q^{31} +(2.43784 - 2.43784i) q^{32} +(-0.383170 - 1.43001i) q^{33} +(-7.12901 + 7.12901i) q^{34} +(-3.87955 - 1.12354i) q^{35} +(1.49479 + 0.863019i) q^{36} +(-4.26298 - 4.26298i) q^{37} +(1.87558 - 3.24860i) q^{38} +(0.775953 - 1.68269i) q^{39} +(2.93590 - 1.69504i) q^{40} +(-1.94919 + 0.522283i) q^{41} +(2.11842 + 0.613507i) q^{42} +(-2.24252 + 1.29472i) q^{43} +(1.75546 + 0.470375i) q^{44} +(2.95327 + 2.95327i) q^{45} +(-6.44847 - 6.44847i) q^{46} +(-2.13395 - 0.571791i) q^{47} +(-2.16473 + 1.24981i) q^{48} +(-6.99435 - 0.281242i) q^{49} +(4.18246 - 1.12069i) q^{50} +(2.76646 - 1.59722i) q^{51} +(1.31263 + 1.85776i) q^{52} +(2.47328 - 4.28385i) q^{53} +(-3.38094 - 3.38094i) q^{54} +(3.80843 + 2.19880i) q^{55} +(4.23719 - 4.07023i) q^{56} +(-0.840427 + 0.840427i) q^{57} +(-0.318411 - 1.18833i) q^{58} +(-0.623268 + 0.623268i) q^{59} +(0.478100 - 0.128107i) q^{60} +(4.48249 + 2.58797i) q^{61} +(7.02159 - 12.1617i) q^{62} +(6.19470 + 3.74445i) q^{63} +4.13546i q^{64} +(1.90453 + 5.16418i) q^{65} +(-2.07959 - 1.20065i) q^{66} +(15.1664 + 4.06383i) q^{67} +3.92145i q^{68} +(1.44475 + 2.50237i) q^{69} +(-5.73818 + 3.16095i) q^{70} +(-10.3040 - 2.76095i) q^{71} +(-5.86855 + 1.57247i) q^{72} +(1.80076 + 6.72052i) q^{73} -9.77867 q^{74} -1.37195 q^{75} +(-0.377628 - 1.40933i) q^{76} +(7.32073 + 2.12012i) q^{77} +(-1.03997 - 2.81989i) q^{78} +(-4.24764 - 7.35713i) q^{79} +(1.92172 - 7.17194i) q^{80} +(-3.34634 - 5.79603i) q^{81} +(-1.63656 + 2.83460i) q^{82} +(-1.51432 - 1.51432i) q^{83} +(0.751374 - 0.413903i) q^{84} +(-2.45590 + 9.16553i) q^{85} +(-1.08706 + 4.05696i) q^{86} +0.389800i q^{87} +(-5.54006 + 3.19856i) q^{88} +(-5.91573 + 5.91573i) q^{89} +6.77438 q^{90} +(5.34712 + 7.89989i) q^{91} -3.54710 q^{92} +(-3.14630 + 3.14630i) q^{93} +(-3.10329 + 1.79169i) q^{94} -3.53049i q^{95} +(-0.458582 + 1.71145i) q^{96} +(-0.933928 + 3.48547i) q^{97} +(-8.34458 + 7.69945i) q^{98} +(-5.57284 - 5.57284i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.14693 1.14693i 0.811001 0.811001i −0.173783 0.984784i \(-0.555599\pi\)
0.984784 + 0.173783i \(0.0555992\pi\)
\(3\) −0.445073 + 0.256963i −0.256963 + 0.148358i −0.622948 0.782263i \(-0.714065\pi\)
0.365985 + 0.930621i \(0.380732\pi\)
\(4\) 0.630890i 0.315445i
\(5\) 0.395109 1.47457i 0.176698 0.659447i −0.819558 0.572996i \(-0.805781\pi\)
0.996256 0.0864504i \(-0.0275524\pi\)
\(6\) −0.215749 + 0.805186i −0.0880791 + 0.328716i
\(7\) 0.0531605 2.64522i 0.0200928 0.999798i
\(8\) 1.57027 + 1.57027i 0.555175 + 0.555175i
\(9\) −1.36794 + 2.36934i −0.455980 + 0.789780i
\(10\) −1.23806 2.14439i −0.391509 0.678114i
\(11\) −0.745574 + 2.78252i −0.224799 + 0.838961i 0.757686 + 0.652619i \(0.226330\pi\)
−0.982485 + 0.186342i \(0.940337\pi\)
\(12\) 0.162115 + 0.280792i 0.0467987 + 0.0810577i
\(13\) −2.94467 + 2.08061i −0.816704 + 0.577057i
\(14\) −2.97290 3.09485i −0.794542 0.827132i
\(15\) 0.203057 + 0.757819i 0.0524291 + 0.195668i
\(16\) 4.86376 1.21594
\(17\) −6.21574 −1.50754 −0.753769 0.657139i \(-0.771766\pi\)
−0.753769 + 0.657139i \(0.771766\pi\)
\(18\) 1.14854 + 4.28639i 0.270712 + 1.01031i
\(19\) 2.23387 0.598564i 0.512485 0.137320i 0.00669672 0.999978i \(-0.497868\pi\)
0.505788 + 0.862658i \(0.331202\pi\)
\(20\) −0.930289 0.249270i −0.208019 0.0557385i
\(21\) 0.656063 + 1.19098i 0.143165 + 0.259892i
\(22\) 2.33623 + 4.04647i 0.498086 + 0.862710i
\(23\) 5.62238i 1.17235i −0.810185 0.586174i \(-0.800633\pi\)
0.810185 0.586174i \(-0.199367\pi\)
\(24\) −1.10239 0.295384i −0.225024 0.0602950i
\(25\) 2.31189 + 1.33477i 0.462378 + 0.266954i
\(26\) −0.991014 + 5.76363i −0.194354 + 1.13034i
\(27\) 2.94782i 0.567308i
\(28\) −1.66884 0.0335384i −0.315381 0.00633816i
\(29\) 0.379237 0.656858i 0.0704225 0.121975i −0.828664 0.559746i \(-0.810899\pi\)
0.899087 + 0.437771i \(0.144232\pi\)
\(30\) 1.10206 + 0.636273i 0.201207 + 0.116167i
\(31\) 8.36292 2.24084i 1.50202 0.402466i 0.588247 0.808682i \(-0.299818\pi\)
0.913777 + 0.406215i \(0.133152\pi\)
\(32\) 2.43784 2.43784i 0.430953 0.430953i
\(33\) −0.383170 1.43001i −0.0667013 0.248933i
\(34\) −7.12901 + 7.12901i −1.22261 + 1.22261i
\(35\) −3.87955 1.12354i −0.655763 0.189913i
\(36\) 1.49479 + 0.863019i 0.249132 + 0.143837i
\(37\) −4.26298 4.26298i −0.700830 0.700830i 0.263759 0.964589i \(-0.415038\pi\)
−0.964589 + 0.263759i \(0.915038\pi\)
\(38\) 1.87558 3.24860i 0.304259 0.526992i
\(39\) 0.775953 1.68269i 0.124252 0.269447i
\(40\) 2.93590 1.69504i 0.464207 0.268010i
\(41\) −1.94919 + 0.522283i −0.304412 + 0.0815669i −0.407792 0.913075i \(-0.633701\pi\)
0.103380 + 0.994642i \(0.467034\pi\)
\(42\) 2.11842 + 0.613507i 0.326880 + 0.0946661i
\(43\) −2.24252 + 1.29472i −0.341981 + 0.197443i −0.661148 0.750256i \(-0.729930\pi\)
0.319167 + 0.947699i \(0.396597\pi\)
\(44\) 1.75546 + 0.470375i 0.264646 + 0.0709116i
\(45\) 2.95327 + 2.95327i 0.440247 + 0.440247i
\(46\) −6.44847 6.44847i −0.950775 0.950775i
\(47\) −2.13395 0.571791i −0.311269 0.0834043i 0.0998029 0.995007i \(-0.468179\pi\)
−0.411072 + 0.911603i \(0.634845\pi\)
\(48\) −2.16473 + 1.24981i −0.312452 + 0.180394i
\(49\) −6.99435 0.281242i −0.999193 0.0401774i
\(50\) 4.18246 1.12069i 0.591488 0.158489i
\(51\) 2.76646 1.59722i 0.387382 0.223655i
\(52\) 1.31263 + 1.85776i 0.182030 + 0.257625i
\(53\) 2.47328 4.28385i 0.339732 0.588433i −0.644650 0.764477i \(-0.722997\pi\)
0.984382 + 0.176045i \(0.0563304\pi\)
\(54\) −3.38094 3.38094i −0.460087 0.460087i
\(55\) 3.80843 + 2.19880i 0.513529 + 0.296486i
\(56\) 4.23719 4.07023i 0.566218 0.543908i
\(57\) −0.840427 + 0.840427i −0.111317 + 0.111317i
\(58\) −0.318411 1.18833i −0.0418094 0.156035i
\(59\) −0.623268 + 0.623268i −0.0811426 + 0.0811426i −0.746513 0.665371i \(-0.768274\pi\)
0.665371 + 0.746513i \(0.268274\pi\)
\(60\) 0.478100 0.128107i 0.0617225 0.0165385i
\(61\) 4.48249 + 2.58797i 0.573924 + 0.331355i 0.758715 0.651423i \(-0.225828\pi\)
−0.184791 + 0.982778i \(0.559161\pi\)
\(62\) 7.02159 12.1617i 0.891742 1.54454i
\(63\) 6.19470 + 3.74445i 0.780459 + 0.471757i
\(64\) 4.13546i 0.516933i
\(65\) 1.90453 + 5.16418i 0.236228 + 0.640538i
\(66\) −2.07959 1.20065i −0.255980 0.147790i
\(67\) 15.1664 + 4.06383i 1.85287 + 0.496476i 0.999684 0.0251264i \(-0.00799882\pi\)
0.853189 + 0.521602i \(0.174665\pi\)
\(68\) 3.92145i 0.475545i
\(69\) 1.44475 + 2.50237i 0.173927 + 0.301250i
\(70\) −5.73818 + 3.16095i −0.685844 + 0.377805i
\(71\) −10.3040 2.76095i −1.22286 0.327665i −0.411066 0.911606i \(-0.634843\pi\)
−0.811796 + 0.583941i \(0.801510\pi\)
\(72\) −5.86855 + 1.57247i −0.691615 + 0.185318i
\(73\) 1.80076 + 6.72052i 0.210763 + 0.786578i 0.987615 + 0.156895i \(0.0501484\pi\)
−0.776852 + 0.629683i \(0.783185\pi\)
\(74\) −9.77867 −1.13675
\(75\) −1.37195 −0.158419
\(76\) −0.377628 1.40933i −0.0433169 0.161661i
\(77\) 7.32073 + 2.12012i 0.834275 + 0.241611i
\(78\) −1.03997 2.81989i −0.117753 0.319290i
\(79\) −4.24764 7.35713i −0.477897 0.827742i 0.521782 0.853079i \(-0.325267\pi\)
−0.999679 + 0.0253371i \(0.991934\pi\)
\(80\) 1.92172 7.17194i 0.214854 0.801847i
\(81\) −3.34634 5.79603i −0.371815 0.644003i
\(82\) −1.63656 + 2.83460i −0.180727 + 0.313029i
\(83\) −1.51432 1.51432i −0.166218 0.166218i 0.619096 0.785315i \(-0.287499\pi\)
−0.785315 + 0.619096i \(0.787499\pi\)
\(84\) 0.751374 0.413903i 0.0819817 0.0451606i
\(85\) −2.45590 + 9.16553i −0.266379 + 0.994141i
\(86\) −1.08706 + 4.05696i −0.117221 + 0.437473i
\(87\) 0.389800i 0.0417909i
\(88\) −5.54006 + 3.19856i −0.590573 + 0.340967i
\(89\) −5.91573 + 5.91573i −0.627066 + 0.627066i −0.947329 0.320263i \(-0.896229\pi\)
0.320263 + 0.947329i \(0.396229\pi\)
\(90\) 6.77438 0.714082
\(91\) 5.34712 + 7.89989i 0.560531 + 0.828134i
\(92\) −3.54710 −0.369811
\(93\) −3.14630 + 3.14630i −0.326256 + 0.326256i
\(94\) −3.10329 + 1.79169i −0.320080 + 0.184798i
\(95\) 3.53049i 0.362221i
\(96\) −0.458582 + 1.71145i −0.0468038 + 0.174674i
\(97\) −0.933928 + 3.48547i −0.0948260 + 0.353896i −0.996993 0.0774914i \(-0.975309\pi\)
0.902167 + 0.431387i \(0.141976\pi\)
\(98\) −8.34458 + 7.69945i −0.842930 + 0.777762i
\(99\) −5.57284 5.57284i −0.560091 0.560091i
\(100\) 0.842092 1.45855i 0.0842092 0.145855i
\(101\) 9.84474 + 17.0516i 0.979589 + 1.69670i 0.663876 + 0.747843i \(0.268910\pi\)
0.315713 + 0.948855i \(0.397756\pi\)
\(102\) 1.34104 5.00482i 0.132783 0.495551i
\(103\) −4.70130 8.14290i −0.463233 0.802344i 0.535887 0.844290i \(-0.319977\pi\)
−0.999120 + 0.0419464i \(0.986644\pi\)
\(104\) −7.89105 1.35681i −0.773781 0.133046i
\(105\) 2.01539 0.496844i 0.196682 0.0484870i
\(106\) −2.07659 7.74995i −0.201697 0.752742i
\(107\) 0.0718412 0.00694515 0.00347258 0.999994i \(-0.498895\pi\)
0.00347258 + 0.999994i \(0.498895\pi\)
\(108\) −1.85975 −0.178954
\(109\) 1.89580 + 7.07523i 0.181585 + 0.677684i 0.995336 + 0.0964705i \(0.0307553\pi\)
−0.813751 + 0.581214i \(0.802578\pi\)
\(110\) 6.88986 1.84613i 0.656922 0.176022i
\(111\) 2.99277 + 0.801910i 0.284061 + 0.0761139i
\(112\) 0.258560 12.8657i 0.0244316 1.21569i
\(113\) −8.15754 14.1293i −0.767396 1.32917i −0.938970 0.343998i \(-0.888219\pi\)
0.171574 0.985171i \(-0.445115\pi\)
\(114\) 1.92782i 0.180557i
\(115\) −8.29059 2.22146i −0.773101 0.207152i
\(116\) −0.414405 0.239257i −0.0384765 0.0222144i
\(117\) −0.901544 9.82307i −0.0833478 0.908143i
\(118\) 1.42969i 0.131613i
\(119\) −0.330432 + 16.4420i −0.0302906 + 1.50723i
\(120\) −0.871127 + 1.50884i −0.0795227 + 0.137737i
\(121\) 2.33975 + 1.35085i 0.212704 + 0.122805i
\(122\) 8.10931 2.17288i 0.734182 0.196724i
\(123\) 0.733324 0.733324i 0.0661216 0.0661216i
\(124\) −1.41372 5.27608i −0.126956 0.473806i
\(125\) 8.27895 8.27895i 0.740492 0.740492i
\(126\) 11.3995 2.81026i 1.01555 0.250358i
\(127\) 14.9037 + 8.60464i 1.32249 + 0.763538i 0.984125 0.177478i \(-0.0567937\pi\)
0.338362 + 0.941016i \(0.390127\pi\)
\(128\) 9.61876 + 9.61876i 0.850186 + 0.850186i
\(129\) 0.665390 1.15249i 0.0585843 0.101471i
\(130\) 8.10731 + 3.73858i 0.711058 + 0.327895i
\(131\) 4.73734 2.73511i 0.413904 0.238967i −0.278562 0.960418i \(-0.589858\pi\)
0.692466 + 0.721451i \(0.256524\pi\)
\(132\) −0.902178 + 0.241738i −0.0785245 + 0.0210406i
\(133\) −1.46458 5.94089i −0.126995 0.515141i
\(134\) 22.0557 12.7339i 1.90532 1.10004i
\(135\) −4.34676 1.16471i −0.374110 0.100242i
\(136\) −9.76040 9.76040i −0.836947 0.836947i
\(137\) −1.24060 1.24060i −0.105991 0.105991i 0.652122 0.758114i \(-0.273879\pi\)
−0.758114 + 0.652122i \(0.773879\pi\)
\(138\) 4.52706 + 1.21302i 0.385369 + 0.103259i
\(139\) 7.13953 4.12201i 0.605567 0.349624i −0.165662 0.986183i \(-0.552976\pi\)
0.771228 + 0.636559i \(0.219643\pi\)
\(140\) −0.708829 + 2.44757i −0.0599070 + 0.206857i
\(141\) 1.09669 0.293858i 0.0923583 0.0247473i
\(142\) −14.9846 + 8.65135i −1.25748 + 0.726005i
\(143\) −3.59387 9.74484i −0.300534 0.814904i
\(144\) −6.65333 + 11.5239i −0.554444 + 0.960325i
\(145\) −0.818741 0.818741i −0.0679927 0.0679927i
\(146\) 9.77330 + 5.64262i 0.808844 + 0.466986i
\(147\) 3.18527 1.67212i 0.262716 0.137914i
\(148\) −2.68947 + 2.68947i −0.221073 + 0.221073i
\(149\) 1.15185 + 4.29875i 0.0943628 + 0.352167i 0.996922 0.0783988i \(-0.0249807\pi\)
−0.902559 + 0.430566i \(0.858314\pi\)
\(150\) −1.57352 + 1.57352i −0.128478 + 0.128478i
\(151\) −8.69443 + 2.32966i −0.707542 + 0.189585i −0.594606 0.804017i \(-0.702692\pi\)
−0.112936 + 0.993602i \(0.536025\pi\)
\(152\) 4.44769 + 2.56788i 0.360755 + 0.208282i
\(153\) 8.50276 14.7272i 0.687407 1.19062i
\(154\) 10.8280 5.96472i 0.872544 0.480651i
\(155\) 13.2171i 1.06162i
\(156\) −1.06159 0.489541i −0.0849956 0.0391946i
\(157\) −4.21105 2.43125i −0.336078 0.194035i 0.322458 0.946584i \(-0.395491\pi\)
−0.658537 + 0.752549i \(0.728824\pi\)
\(158\) −13.3098 3.56636i −1.05887 0.283724i
\(159\) 2.54217i 0.201607i
\(160\) −2.63155 4.55797i −0.208042 0.360339i
\(161\) −14.8724 0.298889i −1.17211 0.0235557i
\(162\) −10.4856 2.80962i −0.823830 0.220744i
\(163\) 6.17099 1.65351i 0.483349 0.129513i −0.00891239 0.999960i \(-0.502837\pi\)
0.492262 + 0.870447i \(0.336170\pi\)
\(164\) 0.329503 + 1.22972i 0.0257299 + 0.0960252i
\(165\) −2.26004 −0.175944
\(166\) −3.47364 −0.269607
\(167\) 2.62064 + 9.78037i 0.202791 + 0.756828i 0.990111 + 0.140283i \(0.0448013\pi\)
−0.787320 + 0.616544i \(0.788532\pi\)
\(168\) −0.839958 + 2.90035i −0.0648042 + 0.223767i
\(169\) 4.34213 12.2534i 0.334010 0.942569i
\(170\) 7.69547 + 13.3289i 0.590215 + 1.02228i
\(171\) −1.63760 + 6.11160i −0.125230 + 0.467366i
\(172\) 0.816825 + 1.41478i 0.0622823 + 0.107876i
\(173\) −8.82380 + 15.2833i −0.670861 + 1.16197i 0.306799 + 0.951774i \(0.400742\pi\)
−0.977660 + 0.210192i \(0.932591\pi\)
\(174\) 0.447072 + 0.447072i 0.0338925 + 0.0338925i
\(175\) 3.65366 6.04449i 0.276190 0.456920i
\(176\) −3.62629 + 13.5335i −0.273342 + 1.02013i
\(177\) 0.117243 0.437557i 0.00881253 0.0328888i
\(178\) 13.5698i 1.01710i
\(179\) −17.5138 + 10.1116i −1.30904 + 0.755775i −0.981936 0.189213i \(-0.939406\pi\)
−0.327105 + 0.944988i \(0.606073\pi\)
\(180\) 1.86319 1.86319i 0.138874 0.138874i
\(181\) −17.4649 −1.29815 −0.649077 0.760722i \(-0.724845\pi\)
−0.649077 + 0.760722i \(0.724845\pi\)
\(182\) 15.1934 + 2.92784i 1.12621 + 0.217026i
\(183\) −2.66005 −0.196636
\(184\) 8.82867 8.82867i 0.650858 0.650858i
\(185\) −7.97040 + 4.60171i −0.585995 + 0.338324i
\(186\) 7.21716i 0.529188i
\(187\) 4.63429 17.2954i 0.338893 1.26477i
\(188\) −0.360737 + 1.34629i −0.0263094 + 0.0981882i
\(189\) −7.79762 0.156708i −0.567194 0.0113988i
\(190\) −4.04922 4.04922i −0.293761 0.293761i
\(191\) −0.0207944 + 0.0360170i −0.00150463 + 0.00260610i −0.866777 0.498696i \(-0.833812\pi\)
0.865272 + 0.501302i \(0.167146\pi\)
\(192\) −1.06266 1.84058i −0.0766910 0.132833i
\(193\) 3.23272 12.0647i 0.232696 0.868434i −0.746478 0.665411i \(-0.768256\pi\)
0.979174 0.203024i \(-0.0650769\pi\)
\(194\) 2.92643 + 5.06873i 0.210106 + 0.363914i
\(195\) −2.17466 1.80904i −0.155731 0.129548i
\(196\) −0.177433 + 4.41266i −0.0126738 + 0.315190i
\(197\) 0.962573 + 3.59237i 0.0685805 + 0.255946i 0.991701 0.128565i \(-0.0410369\pi\)
−0.923121 + 0.384510i \(0.874370\pi\)
\(198\) −12.7833 −0.908469
\(199\) −8.77707 −0.622190 −0.311095 0.950379i \(-0.600696\pi\)
−0.311095 + 0.950379i \(0.600696\pi\)
\(200\) 1.53434 + 5.72624i 0.108494 + 0.404907i
\(201\) −7.79442 + 2.08851i −0.549776 + 0.147312i
\(202\) 30.8482 + 8.26575i 2.17047 + 0.581576i
\(203\) −1.71737 1.03808i −0.120536 0.0728591i
\(204\) −1.00767 1.74533i −0.0705508 0.122198i
\(205\) 3.08057i 0.215156i
\(206\) −14.7314 3.94726i −1.02638 0.275019i
\(207\) 13.3213 + 7.69108i 0.925898 + 0.534567i
\(208\) −14.3221 + 10.1196i −0.993062 + 0.701666i
\(209\) 6.66206i 0.460824i
\(210\) 1.74166 2.88135i 0.120186 0.198832i
\(211\) −3.33665 + 5.77924i −0.229704 + 0.397859i −0.957720 0.287701i \(-0.907109\pi\)
0.728016 + 0.685560i \(0.240443\pi\)
\(212\) −2.70264 1.56037i −0.185618 0.107167i
\(213\) 5.29551 1.41893i 0.362842 0.0972232i
\(214\) 0.0823968 0.0823968i 0.00563253 0.00563253i
\(215\) 1.02311 + 3.81830i 0.0697756 + 0.260406i
\(216\) 4.62888 4.62888i 0.314955 0.314955i
\(217\) −5.48292 22.2409i −0.372205 1.50981i
\(218\) 10.2891 + 5.94043i 0.696868 + 0.402337i
\(219\) −2.52840 2.52840i −0.170853 0.170853i
\(220\) 1.38720 2.40270i 0.0935249 0.161990i
\(221\) 18.3033 12.9325i 1.23121 0.869936i
\(222\) 4.35222 2.51276i 0.292102 0.168645i
\(223\) −6.10027 + 1.63456i −0.408505 + 0.109458i −0.457219 0.889354i \(-0.651154\pi\)
0.0487142 + 0.998813i \(0.484488\pi\)
\(224\) −6.31902 6.57821i −0.422207 0.439525i
\(225\) −6.32505 + 3.65177i −0.421670 + 0.243451i
\(226\) −25.5614 6.84915i −1.70032 0.455599i
\(227\) 16.6512 + 16.6512i 1.10518 + 1.10518i 0.993775 + 0.111402i \(0.0355343\pi\)
0.111402 + 0.993775i \(0.464466\pi\)
\(228\) 0.530217 + 0.530217i 0.0351145 + 0.0351145i
\(229\) 18.2790 + 4.89785i 1.20791 + 0.323659i 0.805942 0.591995i \(-0.201659\pi\)
0.401969 + 0.915653i \(0.368326\pi\)
\(230\) −12.0566 + 6.96086i −0.794986 + 0.458985i
\(231\) −3.80306 + 0.937548i −0.250223 + 0.0616861i
\(232\) 1.62695 0.435940i 0.106814 0.0286209i
\(233\) 6.36747 3.67626i 0.417147 0.240840i −0.276709 0.960954i \(-0.589244\pi\)
0.693856 + 0.720114i \(0.255910\pi\)
\(234\) −12.3004 10.2324i −0.804100 0.668910i
\(235\) −1.68629 + 2.92074i −0.110001 + 0.190528i
\(236\) 0.393214 + 0.393214i 0.0255960 + 0.0255960i
\(237\) 3.78102 + 2.18297i 0.245604 + 0.141799i
\(238\) 18.4788 + 19.2368i 1.19780 + 1.24693i
\(239\) −4.08646 + 4.08646i −0.264331 + 0.264331i −0.826811 0.562480i \(-0.809847\pi\)
0.562480 + 0.826811i \(0.309847\pi\)
\(240\) 0.987620 + 3.68585i 0.0637506 + 0.237921i
\(241\) 20.3223 20.3223i 1.30907 1.30907i 0.386988 0.922085i \(-0.373515\pi\)
0.922085 0.386988i \(-0.126485\pi\)
\(242\) 4.23286 1.13419i 0.272098 0.0729086i
\(243\) 10.6374 + 6.14150i 0.682389 + 0.393977i
\(244\) 1.63272 2.82796i 0.104524 0.181041i
\(245\) −3.17824 + 10.2025i −0.203050 + 0.651815i
\(246\) 1.68214i 0.107249i
\(247\) −5.33263 + 6.41038i −0.339307 + 0.407883i
\(248\) 16.6508 + 9.61333i 1.05732 + 0.610447i
\(249\) 1.06311 + 0.284859i 0.0673718 + 0.0180522i
\(250\) 18.9907i 1.20108i
\(251\) −9.72695 16.8476i −0.613960 1.06341i −0.990566 0.137036i \(-0.956242\pi\)
0.376606 0.926373i \(-0.377091\pi\)
\(252\) 2.36234 3.90817i 0.148813 0.246192i
\(253\) 15.6444 + 4.19190i 0.983554 + 0.263543i
\(254\) 26.9624 7.22454i 1.69177 0.453308i
\(255\) −1.26215 4.71041i −0.0790389 0.294977i
\(256\) 13.7931 0.862070
\(257\) −25.2048 −1.57223 −0.786116 0.618080i \(-0.787911\pi\)
−0.786116 + 0.618080i \(0.787911\pi\)
\(258\) −0.558668 2.08498i −0.0347812 0.129805i
\(259\) −11.5031 + 11.0499i −0.714770 + 0.686607i
\(260\) 3.25803 1.20155i 0.202054 0.0745170i
\(261\) 1.03755 + 1.79708i 0.0642225 + 0.111237i
\(262\) 2.29642 8.57036i 0.141873 0.529479i
\(263\) −15.6393 27.0881i −0.964362 1.67032i −0.711320 0.702868i \(-0.751902\pi\)
−0.253041 0.967455i \(-0.581431\pi\)
\(264\) 1.64382 2.84718i 0.101170 0.175232i
\(265\) −5.33961 5.33961i −0.328010 0.328010i
\(266\) −8.49354 5.13401i −0.520773 0.314787i
\(267\) 1.11281 4.15306i 0.0681027 0.254163i
\(268\) 2.56383 9.56834i 0.156611 0.584479i
\(269\) 9.01798i 0.549836i 0.961468 + 0.274918i \(0.0886507\pi\)
−0.961468 + 0.274918i \(0.911349\pi\)
\(270\) −6.32126 + 3.64958i −0.384700 + 0.222107i
\(271\) 2.40845 2.40845i 0.146303 0.146303i −0.630161 0.776464i \(-0.717011\pi\)
0.776464 + 0.630161i \(0.217011\pi\)
\(272\) −30.2318 −1.83308
\(273\) −4.40984 2.14202i −0.266896 0.129641i
\(274\) −2.84575 −0.171918
\(275\) −5.43770 + 5.43770i −0.327906 + 0.327906i
\(276\) 1.57872 0.911475i 0.0950279 0.0548644i
\(277\) 4.02905i 0.242082i −0.992648 0.121041i \(-0.961377\pi\)
0.992648 0.121041i \(-0.0386232\pi\)
\(278\) 3.46088 12.9162i 0.207570 0.774661i
\(279\) −6.13066 + 22.8799i −0.367033 + 1.36979i
\(280\) −4.32768 7.85620i −0.258629 0.469498i
\(281\) −3.28511 3.28511i −0.195973 0.195973i 0.602298 0.798271i \(-0.294252\pi\)
−0.798271 + 0.602298i \(0.794252\pi\)
\(282\) 0.920795 1.59486i 0.0548326 0.0949728i
\(283\) 0.514830 + 0.891711i 0.0306035 + 0.0530067i 0.880921 0.473262i \(-0.156924\pi\)
−0.850318 + 0.526269i \(0.823590\pi\)
\(284\) −1.74186 + 6.50070i −0.103360 + 0.385745i
\(285\) 0.907206 + 1.57133i 0.0537383 + 0.0930774i
\(286\) −15.2985 7.05473i −0.904622 0.417155i
\(287\) 1.27793 + 5.18379i 0.0754340 + 0.305989i
\(288\) 2.44126 + 9.11089i 0.143852 + 0.536864i
\(289\) 21.6354 1.27267
\(290\) −1.87807 −0.110284
\(291\) −0.479970 1.79127i −0.0281364 0.105006i
\(292\) 4.23991 1.13608i 0.248122 0.0664840i
\(293\) 24.6989 + 6.61806i 1.44293 + 0.386631i 0.893558 0.448948i \(-0.148201\pi\)
0.549369 + 0.835580i \(0.314868\pi\)
\(294\) 1.73547 5.57107i 0.101215 0.324911i
\(295\) 0.672792 + 1.16531i 0.0391715 + 0.0678470i
\(296\) 13.3881i 0.778166i
\(297\) 8.20236 + 2.19782i 0.475949 + 0.127530i
\(298\) 6.25144 + 3.60927i 0.362136 + 0.209079i
\(299\) 11.6980 + 16.5561i 0.676512 + 0.957461i
\(300\) 0.865547i 0.0499724i
\(301\) 3.30560 + 6.00078i 0.190532 + 0.345879i
\(302\) −7.29993 + 12.6438i −0.420064 + 0.727571i
\(303\) −8.76327 5.05947i −0.503436 0.290659i
\(304\) 10.8650 2.91127i 0.623151 0.166973i
\(305\) 5.58721 5.58721i 0.319922 0.319922i
\(306\) −7.13900 26.6431i −0.408109 1.52309i
\(307\) −14.0195 + 14.0195i −0.800136 + 0.800136i −0.983117 0.182981i \(-0.941425\pi\)
0.182981 + 0.983117i \(0.441425\pi\)
\(308\) 1.33756 4.61857i 0.0762148 0.263168i
\(309\) 4.18485 + 2.41612i 0.238068 + 0.137449i
\(310\) −15.1590 15.1590i −0.860975 0.860975i
\(311\) 3.20853 5.55733i 0.181939 0.315127i −0.760602 0.649219i \(-0.775096\pi\)
0.942541 + 0.334091i \(0.108429\pi\)
\(312\) 3.86074 1.42383i 0.218572 0.0806085i
\(313\) −21.8008 + 12.5867i −1.23225 + 0.711441i −0.967499 0.252875i \(-0.918624\pi\)
−0.264753 + 0.964316i \(0.585291\pi\)
\(314\) −7.61824 + 2.04130i −0.429922 + 0.115197i
\(315\) 7.96903 7.65504i 0.449004 0.431313i
\(316\) −4.64154 + 2.67979i −0.261107 + 0.150750i
\(317\) 23.2745 + 6.23639i 1.30723 + 0.350271i 0.844178 0.536062i \(-0.180089\pi\)
0.463049 + 0.886333i \(0.346755\pi\)
\(318\) 2.91569 + 2.91569i 0.163504 + 0.163504i
\(319\) 1.54497 + 1.54497i 0.0865017 + 0.0865017i
\(320\) 6.09802 + 1.63396i 0.340890 + 0.0913411i
\(321\) −0.0319746 + 0.0184606i −0.00178465 + 0.00103037i
\(322\) −17.4004 + 16.7148i −0.969687 + 0.931480i
\(323\) −13.8852 + 3.72052i −0.772591 + 0.207015i
\(324\) −3.65665 + 2.11117i −0.203147 + 0.117287i
\(325\) −9.58488 + 0.879683i −0.531673 + 0.0487960i
\(326\) 5.18123 8.97415i 0.286962 0.497032i
\(327\) −2.66185 2.66185i −0.147200 0.147200i
\(328\) −3.88088 2.24063i −0.214286 0.123718i
\(329\) −1.62595 + 5.61437i −0.0896417 + 0.309530i
\(330\) −2.59210 + 2.59210i −0.142691 + 0.142691i
\(331\) −1.52989 5.70964i −0.0840905 0.313830i 0.911050 0.412296i \(-0.135273\pi\)
−0.995140 + 0.0984660i \(0.968606\pi\)
\(332\) −0.955370 + 0.955370i −0.0524328 + 0.0524328i
\(333\) 15.9320 4.26895i 0.873066 0.233937i
\(334\) 14.2231 + 8.21169i 0.778252 + 0.449324i
\(335\) 11.9848 20.7583i 0.654799 1.13414i
\(336\) 3.19093 + 5.79262i 0.174080 + 0.316013i
\(337\) 11.5318i 0.628179i 0.949393 + 0.314089i \(0.101699\pi\)
−0.949393 + 0.314089i \(0.898301\pi\)
\(338\) −9.07366 19.0339i −0.493542 1.03531i
\(339\) 7.26140 + 4.19237i 0.394385 + 0.227698i
\(340\) 5.78244 + 1.54940i 0.313597 + 0.0840280i
\(341\) 24.9407i 1.35061i
\(342\) 5.13136 + 8.88778i 0.277472 + 0.480596i
\(343\) −1.11577 + 18.4866i −0.0602459 + 0.998184i
\(344\) −5.55442 1.48830i −0.299474 0.0802439i
\(345\) 4.26075 1.14166i 0.229391 0.0614652i
\(346\) 7.40855 + 27.6491i 0.398286 + 1.48642i
\(347\) 9.07305 0.487067 0.243533 0.969893i \(-0.421693\pi\)
0.243533 + 0.969893i \(0.421693\pi\)
\(348\) 0.245921 0.0131827
\(349\) −7.77792 29.0276i −0.416342 1.55381i −0.782132 0.623113i \(-0.785868\pi\)
0.365789 0.930698i \(-0.380799\pi\)
\(350\) −2.74212 11.1231i −0.146572 0.594554i
\(351\) 6.13326 + 8.68035i 0.327369 + 0.463323i
\(352\) 4.96574 + 8.60092i 0.264675 + 0.458431i
\(353\) 7.50007 27.9907i 0.399189 1.48979i −0.415338 0.909667i \(-0.636337\pi\)
0.814527 0.580125i \(-0.196996\pi\)
\(354\) −0.367377 0.636316i −0.0195259 0.0338198i
\(355\) −8.14242 + 14.1031i −0.432155 + 0.748514i
\(356\) 3.73217 + 3.73217i 0.197805 + 0.197805i
\(357\) −4.07792 7.40280i −0.215826 0.391797i
\(358\) −8.48978 + 31.6843i −0.448699 + 1.67457i
\(359\) 2.28482 8.52708i 0.120588 0.450042i −0.879056 0.476719i \(-0.841826\pi\)
0.999644 + 0.0266770i \(0.00849258\pi\)
\(360\) 9.27487i 0.488828i
\(361\) −11.8226 + 6.82577i −0.622241 + 0.359251i
\(362\) −20.0310 + 20.0310i −1.05280 + 1.05280i
\(363\) −1.38848 −0.0728763
\(364\) 4.98396 3.37344i 0.261230 0.176816i
\(365\) 10.6214 0.555947
\(366\) −3.05089 + 3.05089i −0.159472 + 0.159472i
\(367\) −11.5082 + 6.64427i −0.600724 + 0.346828i −0.769326 0.638856i \(-0.779408\pi\)
0.168602 + 0.985684i \(0.446075\pi\)
\(368\) 27.3459i 1.42550i
\(369\) 1.42890 5.33274i 0.0743858 0.277611i
\(370\) −3.86364 + 14.4193i −0.200861 + 0.749624i
\(371\) −11.2002 6.77011i −0.581488 0.351486i
\(372\) 1.98497 + 1.98497i 0.102916 + 0.102916i
\(373\) 4.12496 7.14464i 0.213582 0.369935i −0.739251 0.673430i \(-0.764820\pi\)
0.952833 + 0.303495i \(0.0981535\pi\)
\(374\) −14.5214 25.1518i −0.750884 1.30057i
\(375\) −1.55735 + 5.81212i −0.0804214 + 0.300137i
\(376\) −2.45302 4.24875i −0.126505 0.219113i
\(377\) 0.249937 + 2.72327i 0.0128724 + 0.140256i
\(378\) −9.12305 + 8.76358i −0.469239 + 0.450750i
\(379\) 0.896568 + 3.34604i 0.0460536 + 0.171874i 0.985122 0.171855i \(-0.0549762\pi\)
−0.939069 + 0.343730i \(0.888310\pi\)
\(380\) −2.22735 −0.114261
\(381\) −8.84430 −0.453107
\(382\) 0.0174592 + 0.0651586i 0.000893291 + 0.00333381i
\(383\) 33.2559 8.91088i 1.69930 0.455325i 0.726534 0.687131i \(-0.241130\pi\)
0.972762 + 0.231806i \(0.0744634\pi\)
\(384\) −6.75272 1.80939i −0.344598 0.0923348i
\(385\) 6.01876 9.95723i 0.306744 0.507468i
\(386\) −10.1296 17.5450i −0.515584 0.893018i
\(387\) 7.08439i 0.360120i
\(388\) 2.19894 + 0.589205i 0.111635 + 0.0299124i
\(389\) −8.07601 4.66269i −0.409470 0.236408i 0.281092 0.959681i \(-0.409303\pi\)
−0.690562 + 0.723273i \(0.742637\pi\)
\(390\) −4.56902 + 0.419337i −0.231362 + 0.0212340i
\(391\) 34.9473i 1.76736i
\(392\) −10.5414 11.4247i −0.532421 0.577032i
\(393\) −1.40564 + 2.43465i −0.0709053 + 0.122812i
\(394\) 5.22420 + 3.01619i 0.263191 + 0.151954i
\(395\) −12.5269 + 3.35656i −0.630295 + 0.168887i
\(396\) −3.51584 + 3.51584i −0.176678 + 0.176678i
\(397\) −5.12022 19.1089i −0.256977 0.959049i −0.966980 0.254852i \(-0.917973\pi\)
0.710004 0.704198i \(-0.248693\pi\)
\(398\) −10.0667 + 10.0667i −0.504596 + 0.504596i
\(399\) 2.17844 + 2.26779i 0.109058 + 0.113532i
\(400\) 11.2445 + 6.49199i 0.562223 + 0.324600i
\(401\) 8.51496 + 8.51496i 0.425217 + 0.425217i 0.886995 0.461778i \(-0.152788\pi\)
−0.461778 + 0.886995i \(0.652788\pi\)
\(402\) −6.54427 + 11.3350i −0.326399 + 0.565339i
\(403\) −19.9637 + 23.9985i −0.994463 + 1.19545i
\(404\) 10.7577 6.21095i 0.535214 0.309006i
\(405\) −9.86881 + 2.64434i −0.490385 + 0.131398i
\(406\) −3.16031 + 0.779094i −0.156843 + 0.0386658i
\(407\) 15.0402 8.68346i 0.745514 0.430423i
\(408\) 6.85216 + 1.83603i 0.339232 + 0.0908970i
\(409\) −13.7865 13.7865i −0.681696 0.681696i 0.278686 0.960382i \(-0.410101\pi\)
−0.960382 + 0.278686i \(0.910101\pi\)
\(410\) 3.53319 + 3.53319i 0.174492 + 0.174492i
\(411\) 0.870943 + 0.233368i 0.0429605 + 0.0115112i
\(412\) −5.13727 + 2.96600i −0.253095 + 0.146125i
\(413\) 1.61555 + 1.68181i 0.0794959 + 0.0827566i
\(414\) 24.0998 6.45751i 1.18444 0.317369i
\(415\) −2.83129 + 1.63465i −0.138983 + 0.0802417i
\(416\) −2.10644 + 12.2508i −0.103277 + 0.600645i
\(417\) −2.11841 + 3.66919i −0.103739 + 0.179681i
\(418\) 7.64091 + 7.64091i 0.373729 + 0.373729i
\(419\) −3.34749 1.93268i −0.163536 0.0944174i 0.415999 0.909365i \(-0.363432\pi\)
−0.579534 + 0.814948i \(0.696765\pi\)
\(420\) −0.313454 1.27149i −0.0152950 0.0620423i
\(421\) 3.65782 3.65782i 0.178271 0.178271i −0.612331 0.790602i \(-0.709768\pi\)
0.790602 + 0.612331i \(0.209768\pi\)
\(422\) 2.80148 + 10.4553i 0.136374 + 0.508955i
\(423\) 4.27389 4.27389i 0.207803 0.207803i
\(424\) 10.6105 2.84309i 0.515293 0.138072i
\(425\) −14.3701 8.29658i −0.697052 0.402443i
\(426\) 4.44616 7.70097i 0.215417 0.373113i
\(427\) 7.08403 11.7196i 0.342820 0.567150i
\(428\) 0.0453239i 0.00219081i
\(429\) 4.10360 + 3.41368i 0.198124 + 0.164814i
\(430\) 5.55275 + 3.20588i 0.267778 + 0.154601i
\(431\) 9.71910 + 2.60423i 0.468153 + 0.125441i 0.485181 0.874414i \(-0.338754\pi\)
−0.0170280 + 0.999855i \(0.505420\pi\)
\(432\) 14.3375i 0.689812i
\(433\) −3.80951 6.59826i −0.183073 0.317092i 0.759852 0.650096i \(-0.225271\pi\)
−0.942926 + 0.333004i \(0.891938\pi\)
\(434\) −31.7972 19.2201i −1.52631 0.922596i
\(435\) 0.574786 + 0.154013i 0.0275589 + 0.00738438i
\(436\) 4.46369 1.19604i 0.213772 0.0572800i
\(437\) −3.36536 12.5597i −0.160987 0.600811i
\(438\) −5.79978 −0.277124
\(439\) 22.3628 1.06732 0.533658 0.845700i \(-0.320817\pi\)
0.533658 + 0.845700i \(0.320817\pi\)
\(440\) 2.52756 + 9.43298i 0.120497 + 0.449700i
\(441\) 10.2342 16.1873i 0.487343 0.770823i
\(442\) 6.15988 35.8252i 0.292996 1.70403i
\(443\) −12.8459 22.2497i −0.610326 1.05712i −0.991185 0.132483i \(-0.957705\pi\)
0.380859 0.924633i \(-0.375628\pi\)
\(444\) 0.505917 1.88811i 0.0240097 0.0896056i
\(445\) 6.38578 + 11.0605i 0.302715 + 0.524318i
\(446\) −5.12185 + 8.87130i −0.242527 + 0.420068i
\(447\) −1.61727 1.61727i −0.0764945 0.0764945i
\(448\) 10.9392 + 0.219843i 0.516828 + 0.0103866i
\(449\) −0.821652 + 3.06645i −0.0387761 + 0.144715i −0.982600 0.185735i \(-0.940534\pi\)
0.943824 + 0.330449i \(0.107200\pi\)
\(450\) −3.06606 + 11.4427i −0.144535 + 0.539414i
\(451\) 5.81305i 0.273726i
\(452\) −8.91401 + 5.14650i −0.419280 + 0.242071i
\(453\) 3.27102 3.27102i 0.153686 0.153686i
\(454\) 38.1954 1.79260
\(455\) 13.7616 4.76337i 0.645155 0.223310i
\(456\) −2.63940 −0.123601
\(457\) −23.2165 + 23.2165i −1.08602 + 1.08602i −0.0900871 + 0.995934i \(0.528715\pi\)
−0.995934 + 0.0900871i \(0.971285\pi\)
\(458\) 26.5822 15.3472i 1.24210 0.717129i
\(459\) 18.3229i 0.855239i
\(460\) −1.40149 + 5.23045i −0.0653450 + 0.243871i
\(461\) −1.38662 + 5.17492i −0.0645811 + 0.241020i −0.990669 0.136287i \(-0.956483\pi\)
0.926088 + 0.377307i \(0.123150\pi\)
\(462\) −3.28653 + 5.43713i −0.152903 + 0.252958i
\(463\) −17.0182 17.0182i −0.790903 0.790903i 0.190738 0.981641i \(-0.438912\pi\)
−0.981641 + 0.190738i \(0.938912\pi\)
\(464\) 1.84452 3.19480i 0.0856295 0.148315i
\(465\) 3.39630 + 5.88256i 0.157500 + 0.272797i
\(466\) 3.08663 11.5194i 0.142985 0.533628i
\(467\) −3.73447 6.46829i −0.172811 0.299317i 0.766591 0.642136i \(-0.221951\pi\)
−0.939401 + 0.342819i \(0.888618\pi\)
\(468\) −6.19727 + 0.568775i −0.286469 + 0.0262916i
\(469\) 11.5560 39.9024i 0.533605 1.84252i
\(470\) 1.41582 + 5.28393i 0.0653071 + 0.243729i
\(471\) 2.49897 0.115146
\(472\) −1.95740 −0.0900967
\(473\) −1.93062 7.20516i −0.0887698 0.331294i
\(474\) 6.84028 1.83285i 0.314184 0.0841854i
\(475\) 5.96340 + 1.59789i 0.273620 + 0.0733162i
\(476\) 10.3731 + 0.208466i 0.475449 + 0.00955502i
\(477\) 6.76661 + 11.7201i 0.309822 + 0.536627i
\(478\) 9.37376i 0.428746i
\(479\) −20.1369 5.39566i −0.920078 0.246534i −0.232459 0.972606i \(-0.574677\pi\)
−0.687619 + 0.726072i \(0.741344\pi\)
\(480\) 2.34246 + 1.35242i 0.106918 + 0.0617293i
\(481\) 21.4227 + 3.68347i 0.976789 + 0.167952i
\(482\) 46.6164i 2.12332i
\(483\) 6.69612 3.68864i 0.304684 0.167839i
\(484\) 0.852240 1.47612i 0.0387382 0.0670965i
\(485\) 4.77055 + 2.75428i 0.216620 + 0.125065i
\(486\) 19.2442 5.15647i 0.872934 0.233902i
\(487\) −13.2023 + 13.2023i −0.598255 + 0.598255i −0.939848 0.341593i \(-0.889034\pi\)
0.341593 + 0.939848i \(0.389034\pi\)
\(488\) 2.97492 + 11.1025i 0.134668 + 0.502588i
\(489\) −2.32165 + 2.32165i −0.104989 + 0.104989i
\(490\) 8.05634 + 15.3468i 0.363948 + 0.693297i
\(491\) 26.9636 + 15.5675i 1.21685 + 0.702550i 0.964243 0.265019i \(-0.0853781\pi\)
0.252609 + 0.967569i \(0.418711\pi\)
\(492\) −0.462646 0.462646i −0.0208577 0.0208577i
\(493\) −2.35724 + 4.08286i −0.106165 + 0.183883i
\(494\) 1.23611 + 13.4684i 0.0556150 + 0.605972i
\(495\) −10.4194 + 6.01565i −0.468317 + 0.270383i
\(496\) 40.6752 10.8989i 1.82637 0.489374i
\(497\) −7.85109 + 27.1096i −0.352169 + 1.21603i
\(498\) 1.54602 0.892597i 0.0692790 0.0399982i
\(499\) 17.9002 + 4.79636i 0.801325 + 0.214714i 0.636166 0.771553i \(-0.280519\pi\)
0.165159 + 0.986267i \(0.447186\pi\)
\(500\) −5.22310 5.22310i −0.233584 0.233584i
\(501\) −3.67957 3.67957i −0.164391 0.164391i
\(502\) −30.4791 8.16684i −1.36035 0.364504i
\(503\) −22.0368 + 12.7230i −0.982573 + 0.567289i −0.903046 0.429544i \(-0.858674\pi\)
−0.0795268 + 0.996833i \(0.525341\pi\)
\(504\) 3.84756 + 15.6072i 0.171384 + 0.695199i
\(505\) 29.0335 7.77950i 1.29197 0.346183i
\(506\) 22.7508 13.1352i 1.01140 0.583930i
\(507\) 1.21611 + 6.56943i 0.0540091 + 0.291759i
\(508\) 5.42858 9.40257i 0.240854 0.417172i
\(509\) −17.5363 17.5363i −0.777285 0.777285i 0.202084 0.979368i \(-0.435229\pi\)
−0.979368 + 0.202084i \(0.935229\pi\)
\(510\) −6.85009 3.95490i −0.303327 0.175126i
\(511\) 17.8730 4.40613i 0.790654 0.194916i
\(512\) −3.41779 + 3.41779i −0.151046 + 0.151046i
\(513\) −1.76446 6.58505i −0.0779027 0.290737i
\(514\) −28.9081 + 28.9081i −1.27508 + 1.27508i
\(515\) −13.8648 + 3.71506i −0.610955 + 0.163705i
\(516\) −0.727094 0.419788i −0.0320085 0.0184801i
\(517\) 3.18204 5.51145i 0.139946 0.242393i
\(518\) −0.519839 + 25.8667i −0.0228404 + 1.13652i
\(519\) 9.06957i 0.398110i
\(520\) −5.11853 + 11.0998i −0.224462 + 0.486758i
\(521\) −3.53287 2.03970i −0.154778 0.0893610i 0.420611 0.907241i \(-0.361816\pi\)
−0.575389 + 0.817880i \(0.695149\pi\)
\(522\) 3.25112 + 0.871134i 0.142298 + 0.0381285i
\(523\) 29.4455i 1.28756i −0.765209 0.643781i \(-0.777365\pi\)
0.765209 0.643781i \(-0.222635\pi\)
\(524\) −1.72555 2.98874i −0.0753810 0.130564i
\(525\) −0.0729334 + 3.62910i −0.00318307 + 0.158387i
\(526\) −49.0053 13.1309i −2.13673 0.572536i
\(527\) −51.9817 + 13.9285i −2.26436 + 0.606733i
\(528\) −1.86365 6.95522i −0.0811048 0.302687i
\(529\) −8.61121 −0.374400
\(530\) −12.2483 −0.532033
\(531\) −0.624142 2.32933i −0.0270854 0.101084i
\(532\) −3.74805 + 0.923987i −0.162498 + 0.0400599i
\(533\) 4.65304 5.59345i 0.201546 0.242279i
\(534\) −3.48695 6.03957i −0.150895 0.261358i
\(535\) 0.0283851 0.105935i 0.00122720 0.00457996i
\(536\) 17.4341 + 30.1967i 0.753038 + 1.30430i
\(537\) 5.19661 9.00079i 0.224250 0.388413i
\(538\) 10.3430 + 10.3430i 0.445917 + 0.445917i
\(539\) 5.99736 19.2522i 0.258325 0.829252i
\(540\) −0.734804 + 2.74233i −0.0316209 + 0.118011i
\(541\) −9.74099 + 36.3539i −0.418798 + 1.56298i 0.358307 + 0.933604i \(0.383354\pi\)
−0.777105 + 0.629371i \(0.783312\pi\)
\(542\) 5.52463i 0.237303i
\(543\) 7.77315 4.48783i 0.333578 0.192591i
\(544\) −15.1530 + 15.1530i −0.649678 + 0.649678i
\(545\) 11.1820 0.478982
\(546\) −7.51451 + 2.60103i −0.321592 + 0.111314i
\(547\) −36.7251 −1.57025 −0.785125 0.619337i \(-0.787401\pi\)
−0.785125 + 0.619337i \(0.787401\pi\)
\(548\) −0.782679 + 0.782679i −0.0334344 + 0.0334344i
\(549\) −12.2636 + 7.08037i −0.523396 + 0.302183i
\(550\) 12.4733i 0.531864i
\(551\) 0.453995 1.69433i 0.0193408 0.0721810i
\(552\) −1.66076 + 6.19805i −0.0706867 + 0.263806i
\(553\) −19.6870 + 10.8448i −0.837177 + 0.461169i
\(554\) −4.62103 4.62103i −0.196329 0.196329i
\(555\) 2.36494 4.09620i 0.100386 0.173874i
\(556\) −2.60053 4.50425i −0.110287 0.191023i
\(557\) −5.17843 + 19.3262i −0.219417 + 0.818876i 0.765148 + 0.643855i \(0.222666\pi\)
−0.984565 + 0.175021i \(0.944001\pi\)
\(558\) 19.2102 + 33.2731i 0.813233 + 1.40856i
\(559\) 3.90967 8.47832i 0.165361 0.358595i
\(560\) −18.8692 5.46462i −0.797368 0.230922i
\(561\) 2.38168 + 8.88857i 0.100555 + 0.375276i
\(562\) −7.53556 −0.317869
\(563\) 15.6920 0.661340 0.330670 0.943746i \(-0.392725\pi\)
0.330670 + 0.943746i \(0.392725\pi\)
\(564\) −0.185392 0.691893i −0.00780642 0.0291340i
\(565\) −24.0577 + 6.44624i −1.01211 + 0.271195i
\(566\) 1.61320 + 0.432256i 0.0678079 + 0.0181691i
\(567\) −15.5096 + 8.54367i −0.651344 + 0.358800i
\(568\) −11.8447 20.5155i −0.496991 0.860813i
\(569\) 5.07533i 0.212769i 0.994325 + 0.106385i \(0.0339275\pi\)
−0.994325 + 0.106385i \(0.966073\pi\)
\(570\) 2.84270 + 0.761699i 0.119068 + 0.0319041i
\(571\) −17.5642 10.1407i −0.735038 0.424374i 0.0852246 0.996362i \(-0.472839\pi\)
−0.820262 + 0.571988i \(0.806173\pi\)
\(572\) −6.14792 + 2.26733i −0.257057 + 0.0948020i
\(573\) 0.0213736i 0.000892895i
\(574\) 7.41113 + 4.47974i 0.309335 + 0.186981i
\(575\) 7.50459 12.9983i 0.312963 0.542068i
\(576\) −9.79832 5.65706i −0.408263 0.235711i
\(577\) −25.2962 + 6.77811i −1.05310 + 0.282176i −0.743531 0.668702i \(-0.766850\pi\)
−0.309566 + 0.950878i \(0.600184\pi\)
\(578\) 24.8143 24.8143i 1.03214 1.03214i
\(579\) 1.66138 + 6.20036i 0.0690446 + 0.257678i
\(580\) −0.516535 + 0.516535i −0.0214480 + 0.0214480i
\(581\) −4.08621 + 3.92521i −0.169525 + 0.162845i
\(582\) −2.60495 1.50397i −0.107979 0.0623416i
\(583\) 10.0759 + 10.0759i 0.417301 + 0.417301i
\(584\) −7.72537 + 13.3807i −0.319678 + 0.553698i
\(585\) −14.8410 2.55180i −0.613599 0.105504i
\(586\) 35.9183 20.7375i 1.48377 0.856657i
\(587\) 1.75410 0.470009i 0.0723994 0.0193994i −0.222438 0.974947i \(-0.571401\pi\)
0.294837 + 0.955548i \(0.404735\pi\)
\(588\) −1.05492 2.00955i −0.0435042 0.0828725i
\(589\) 17.3404 10.0115i 0.714498 0.412516i
\(590\) 2.10817 + 0.564883i 0.0867921 + 0.0232559i
\(591\) −1.35152 1.35152i −0.0555942 0.0555942i
\(592\) −20.7341 20.7341i −0.852166 0.852166i
\(593\) 30.9506 + 8.29320i 1.27099 + 0.340561i 0.830410 0.557153i \(-0.188106\pi\)
0.440580 + 0.897713i \(0.354773\pi\)
\(594\) 11.9283 6.88679i 0.489423 0.282568i
\(595\) 24.1143 + 6.98362i 0.988588 + 0.286301i
\(596\) 2.71203 0.726687i 0.111089 0.0297663i
\(597\) 3.90644 2.25538i 0.159880 0.0923067i
\(598\) 32.4054 + 5.57186i 1.32515 + 0.227850i
\(599\) 1.81349 3.14105i 0.0740970 0.128340i −0.826596 0.562795i \(-0.809726\pi\)
0.900693 + 0.434456i \(0.143059\pi\)
\(600\) −2.15433 2.15433i −0.0879501 0.0879501i
\(601\) 22.0032 + 12.7035i 0.897529 + 0.518189i 0.876398 0.481588i \(-0.159940\pi\)
0.0211313 + 0.999777i \(0.493273\pi\)
\(602\) 10.6737 + 3.09118i 0.435030 + 0.125987i
\(603\) −30.3753 + 30.3753i −1.23698 + 1.23698i
\(604\) 1.46976 + 5.48522i 0.0598037 + 0.223191i
\(605\) 2.91638 2.91638i 0.118568 0.118568i
\(606\) −15.8537 + 4.24798i −0.644012 + 0.172563i
\(607\) 3.52942 + 2.03771i 0.143255 + 0.0827081i 0.569914 0.821704i \(-0.306976\pi\)
−0.426660 + 0.904412i \(0.640310\pi\)
\(608\) 3.98661 6.90502i 0.161679 0.280035i
\(609\) 1.03110 + 0.0207219i 0.0417825 + 0.000839696i
\(610\) 12.8162i 0.518915i
\(611\) 7.47345 2.75619i 0.302344 0.111503i
\(612\) −9.29124 5.36430i −0.375576 0.216839i
\(613\) −22.4119 6.00524i −0.905207 0.242550i −0.223956 0.974599i \(-0.571897\pi\)
−0.681251 + 0.732050i \(0.738564\pi\)
\(614\) 32.1588i 1.29782i
\(615\) −0.791593 1.37108i −0.0319201 0.0552872i
\(616\) 8.16637 + 14.8247i 0.329032 + 0.597304i
\(617\) 0.685439 + 0.183663i 0.0275948 + 0.00739399i 0.272590 0.962130i \(-0.412120\pi\)
−0.244995 + 0.969524i \(0.578786\pi\)
\(618\) 7.57085 2.02860i 0.304544 0.0816023i
\(619\) −3.54491 13.2298i −0.142482 0.531751i −0.999855 0.0170541i \(-0.994571\pi\)
0.857372 0.514697i \(-0.172095\pi\)
\(620\) −8.33851 −0.334882
\(621\) −16.5738 −0.665083
\(622\) −2.69391 10.0538i −0.108016 0.403121i
\(623\) 15.3339 + 15.9629i 0.614340 + 0.639539i
\(624\) 3.77405 8.18422i 0.151083 0.327631i
\(625\) −2.26294 3.91952i −0.0905174 0.156781i
\(626\) −10.5679 + 39.4399i −0.422378 + 1.57634i
\(627\) −1.71190 2.96510i −0.0683669 0.118415i
\(628\) −1.53385 + 2.65671i −0.0612073 + 0.106014i
\(629\) 26.4976 + 26.4976i 1.05653 + 1.05653i
\(630\) 0.360129 17.9197i 0.0143479 0.713938i
\(631\) −0.371814 + 1.38763i −0.0148017 + 0.0552407i −0.972932 0.231093i \(-0.925770\pi\)
0.958130 + 0.286334i \(0.0924365\pi\)
\(632\) 4.88274 18.2226i 0.194225 0.724858i
\(633\) 3.42958i 0.136314i
\(634\) 33.8469 19.5415i 1.34423 0.776093i
\(635\) 18.5767 18.5767i 0.737194 0.737194i
\(636\) 1.60383 0.0635960
\(637\) 21.1812 13.7243i 0.839229 0.543778i
\(638\) 3.54394 0.140306
\(639\) 20.6369 20.6369i 0.816384 0.816384i
\(640\) 17.9840 10.3830i 0.710879 0.410426i
\(641\) 11.0407i 0.436083i −0.975939 0.218042i \(-0.930033\pi\)
0.975939 0.218042i \(-0.0699669\pi\)
\(642\) −0.0154997 + 0.0578455i −0.000611723 + 0.00228298i
\(643\) 11.5604 43.1441i 0.455899 1.70144i −0.229532 0.973301i \(-0.573719\pi\)
0.685431 0.728138i \(-0.259614\pi\)
\(644\) −0.188566 + 9.38286i −0.00743053 + 0.369736i
\(645\) −1.43652 1.43652i −0.0565630 0.0565630i
\(646\) −11.6581 + 20.1924i −0.458682 + 0.794461i
\(647\) −5.20304 9.01192i −0.204552 0.354295i 0.745438 0.666575i \(-0.232241\pi\)
−0.949990 + 0.312280i \(0.898907\pi\)
\(648\) 3.84668 14.3560i 0.151112 0.563957i
\(649\) −1.26956 2.19895i −0.0498347 0.0863163i
\(650\) −9.98423 + 12.0021i −0.391614 + 0.470761i
\(651\) 8.15538 + 8.48990i 0.319635 + 0.332745i
\(652\) −1.04318 3.89321i −0.0408542 0.152470i
\(653\) −10.4386 −0.408493 −0.204246 0.978920i \(-0.565474\pi\)
−0.204246 + 0.978920i \(0.565474\pi\)
\(654\) −6.10589 −0.238759
\(655\) −2.16133 8.06620i −0.0844502 0.315172i
\(656\) −9.48038 + 2.54026i −0.370146 + 0.0991804i
\(657\) −18.3865 4.92666i −0.717327 0.192207i
\(658\) 4.57443 + 8.30413i 0.178330 + 0.323729i
\(659\) −3.86557 6.69537i −0.150581 0.260815i 0.780860 0.624706i \(-0.214781\pi\)
−0.931441 + 0.363892i \(0.881448\pi\)
\(660\) 1.42584i 0.0555006i
\(661\) 43.2687 + 11.5938i 1.68296 + 0.450947i 0.968558 0.248790i \(-0.0800328\pi\)
0.714401 + 0.699737i \(0.246699\pi\)
\(662\) −8.30322 4.79387i −0.322714 0.186319i
\(663\) −4.82312 + 10.4592i −0.187315 + 0.406201i
\(664\) 4.75580i 0.184561i
\(665\) −9.33892 0.187683i −0.362148 0.00727802i
\(666\) 13.3766 23.1690i 0.518334 0.897780i
\(667\) −3.69311 2.13222i −0.142998 0.0825597i
\(668\) 6.17033 1.65334i 0.238737 0.0639695i
\(669\) 2.29505 2.29505i 0.0887316 0.0887316i
\(670\) −10.0625 37.5539i −0.388750 1.45083i
\(671\) −10.5431 + 10.5431i −0.407012 + 0.407012i
\(672\) 4.50278 + 1.30403i 0.173699 + 0.0503041i
\(673\) −19.6804 11.3625i −0.758625 0.437992i 0.0701768 0.997535i \(-0.477644\pi\)
−0.828802 + 0.559542i \(0.810977\pi\)
\(674\) 13.2262 + 13.2262i 0.509454 + 0.509454i
\(675\) 3.93466 6.81503i 0.151445 0.262311i
\(676\) −7.73054 2.73941i −0.297329 0.105362i
\(677\) −7.56955 + 4.37028i −0.290921 + 0.167964i −0.638357 0.769740i \(-0.720386\pi\)
0.347436 + 0.937704i \(0.387052\pi\)
\(678\) 13.1367 3.51996i 0.504510 0.135183i
\(679\) 9.17017 + 2.65573i 0.351919 + 0.101918i
\(680\) −18.2488 + 10.5359i −0.699809 + 0.404035i
\(681\) −11.6897 3.13226i −0.447952 0.120028i
\(682\) 28.6052 + 28.6052i 1.09535 + 1.09535i
\(683\) 1.57793 + 1.57793i 0.0603777 + 0.0603777i 0.736651 0.676273i \(-0.236406\pi\)
−0.676273 + 0.736651i \(0.736406\pi\)
\(684\) 3.85575 + 1.03314i 0.147428 + 0.0395032i
\(685\) −2.31951 + 1.33917i −0.0886240 + 0.0511671i
\(686\) 19.9231 + 22.4825i 0.760668 + 0.858387i
\(687\) −9.39407 + 2.51713i −0.358406 + 0.0960346i
\(688\) −10.9071 + 6.29720i −0.415828 + 0.240078i
\(689\) 1.63002 + 17.7605i 0.0620990 + 0.676620i
\(690\) 3.57737 6.19618i 0.136188 0.235885i
\(691\) −3.25857 3.25857i −0.123962 0.123962i 0.642404 0.766366i \(-0.277937\pi\)
−0.766366 + 0.642404i \(0.777937\pi\)
\(692\) 9.64206 + 5.56685i 0.366536 + 0.211620i
\(693\) −15.0376 + 14.4451i −0.571232 + 0.548724i
\(694\) 10.4061 10.4061i 0.395012 0.395012i
\(695\) −3.25729 12.1564i −0.123556 0.461117i
\(696\) −0.612091 + 0.612091i −0.0232013 + 0.0232013i
\(697\) 12.1156 3.24638i 0.458913 0.122965i
\(698\) −42.2133 24.3718i −1.59780 0.922488i
\(699\) −1.88933 + 3.27241i −0.0714609 + 0.123774i
\(700\) −3.81341 2.30505i −0.144133 0.0871228i
\(701\) 10.7910i 0.407569i −0.979016 0.203784i \(-0.934676\pi\)
0.979016 0.203784i \(-0.0653242\pi\)
\(702\) 16.9901 + 2.92133i 0.641252 + 0.110258i
\(703\) −12.0746 6.97128i −0.455403 0.262927i
\(704\) −11.5070 3.08329i −0.433686 0.116206i
\(705\) 1.73326i 0.0652782i
\(706\) −23.5012 40.7053i −0.884481 1.53197i
\(707\) 45.6285 25.1350i 1.71604 0.945300i
\(708\) −0.276050 0.0739674i −0.0103746 0.00277987i
\(709\) −22.3737 + 5.99502i −0.840262 + 0.225148i −0.653186 0.757198i \(-0.726568\pi\)
−0.187076 + 0.982345i \(0.559901\pi\)
\(710\) 6.83646 + 25.5140i 0.256568 + 0.957524i
\(711\) 23.2421 0.871646
\(712\) −18.5786 −0.696262
\(713\) −12.5988 47.0195i −0.471830 1.76090i
\(714\) −13.1676 3.81340i −0.492783 0.142713i
\(715\) −15.7894 + 1.44912i −0.590490 + 0.0541941i
\(716\) 6.37929 + 11.0493i 0.238405 + 0.412930i
\(717\) 0.768705 2.86885i 0.0287078 0.107139i
\(718\) −7.15942 12.4005i −0.267187 0.462782i
\(719\) 17.9493 31.0890i 0.669394 1.15942i −0.308679 0.951166i \(-0.599887\pi\)
0.978074 0.208259i \(-0.0667796\pi\)
\(720\) 14.3640 + 14.3640i 0.535314 + 0.535314i
\(721\) −21.7897 + 12.0031i −0.811489 + 0.447018i
\(722\) −5.73099 + 21.3883i −0.213285 + 0.795991i
\(723\) −3.82283 + 14.2670i −0.142172 + 0.530595i
\(724\) 11.0184i 0.409496i
\(725\) 1.75351 1.01239i 0.0651236 0.0375991i
\(726\) −1.59249 + 1.59249i −0.0591027 + 0.0591027i
\(727\) 40.7770 1.51234 0.756168 0.654377i \(-0.227069\pi\)
0.756168 + 0.654377i \(0.227069\pi\)
\(728\) −4.00854 + 20.8014i −0.148566 + 0.770952i
\(729\) 13.7655 0.509832
\(730\) 12.1819 12.1819i 0.450874 0.450874i
\(731\) 13.9389 8.04764i 0.515549 0.297653i
\(732\) 1.67820i 0.0620279i
\(733\) −6.43098 + 24.0007i −0.237533 + 0.886487i 0.739457 + 0.673204i \(0.235082\pi\)
−0.976990 + 0.213283i \(0.931584\pi\)
\(734\) −5.57860 + 20.8196i −0.205910 + 0.768466i
\(735\) −1.20712 5.35756i −0.0445253 0.197617i
\(736\) −13.7065 13.7065i −0.505227 0.505227i
\(737\) −22.6154 + 39.1710i −0.833048 + 1.44288i
\(738\) −4.47742 7.75512i −0.164816 0.285470i
\(739\) −10.9878 + 41.0071i −0.404194 + 1.50847i 0.401344 + 0.915927i \(0.368543\pi\)
−0.805538 + 0.592544i \(0.798124\pi\)
\(740\) 2.90317 + 5.02844i 0.106723 + 0.184849i
\(741\) 0.726179 4.22338i 0.0266768 0.155150i
\(742\) −20.6107 + 5.08105i −0.756643 + 0.186531i
\(743\) −6.30753 23.5400i −0.231401 0.863600i −0.979738 0.200282i \(-0.935814\pi\)
0.748337 0.663318i \(-0.230852\pi\)
\(744\) −9.88108 −0.362258
\(745\) 6.79390 0.248909
\(746\) −3.46336 12.9254i −0.126802 0.473233i
\(747\) 5.65945 1.51644i 0.207068 0.0554838i
\(748\) −10.9115 2.92373i −0.398964 0.106902i
\(749\) 0.00381912 0.190036i 0.000139547 0.00694375i
\(750\) 4.87992 + 8.45226i 0.178189 + 0.308633i
\(751\) 28.4458i 1.03800i −0.854774 0.519001i \(-0.826304\pi\)
0.854774 0.519001i \(-0.173696\pi\)
\(752\) −10.3790 2.78105i −0.378484 0.101415i
\(753\) 8.65841 + 4.99894i 0.315530 + 0.182171i
\(754\) 3.41006 + 2.83674i 0.124187 + 0.103308i
\(755\) 13.7410i 0.500086i
\(756\) −0.0988652 + 4.91944i −0.00359569 + 0.178918i
\(757\) −26.0081 + 45.0474i −0.945282 + 1.63728i −0.190095 + 0.981766i \(0.560880\pi\)
−0.755187 + 0.655510i \(0.772454\pi\)
\(758\) 4.86597 + 2.80937i 0.176740 + 0.102041i
\(759\) −8.04006 + 2.15433i −0.291836 + 0.0781972i
\(760\) 5.54383 5.54383i 0.201096 0.201096i
\(761\) 1.53417 + 5.72561i 0.0556137 + 0.207553i 0.988142 0.153544i \(-0.0490688\pi\)
−0.932528 + 0.361098i \(0.882402\pi\)
\(762\) −10.1438 + 10.1438i −0.367470 + 0.367470i
\(763\) 18.8163 4.63869i 0.681196 0.167932i
\(764\) 0.0227228 + 0.0131190i 0.000822080 + 0.000474628i
\(765\) −18.3567 18.3567i −0.663690 0.663690i
\(766\) 27.9220 48.3623i 1.00886 1.74740i
\(767\) 0.538541 3.13210i 0.0194456 0.113093i
\(768\) −6.13895 + 3.54433i −0.221520 + 0.127895i
\(769\) 0.310861 0.0832949i 0.0112099 0.00300369i −0.253210 0.967411i \(-0.581486\pi\)
0.264420 + 0.964408i \(0.414820\pi\)
\(770\) −4.51715 18.3233i −0.162787 0.660326i
\(771\) 11.2180 6.47670i 0.404005 0.233253i
\(772\) −7.61148 2.03949i −0.273943 0.0734028i
\(773\) 22.4820 + 22.4820i 0.808623 + 0.808623i 0.984425 0.175802i \(-0.0562520\pi\)