Properties

Label 91.2.bb.a.47.3
Level $91$
Weight $2$
Character 91.47
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 47.3
Character \(\chi\) \(=\) 91.47
Dual form 91.2.bb.a.31.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.58070 + 0.423548i) q^{2} +(-1.71590 + 0.990678i) q^{3} +(0.587174 - 0.339005i) q^{4} +(-0.742954 - 2.77274i) q^{5} +(2.29273 - 2.29273i) q^{6} +(1.81015 - 1.92960i) q^{7} +(1.52975 - 1.52975i) q^{8} +(0.462886 - 0.801742i) q^{9} +O(q^{10})\) \(q+(-1.58070 + 0.423548i) q^{2} +(-1.71590 + 0.990678i) q^{3} +(0.587174 - 0.339005i) q^{4} +(-0.742954 - 2.77274i) q^{5} +(2.29273 - 2.29273i) q^{6} +(1.81015 - 1.92960i) q^{7} +(1.52975 - 1.52975i) q^{8} +(0.462886 - 0.801742i) q^{9} +(2.34878 + 4.06820i) q^{10} +(-3.33916 - 0.894725i) q^{11} +(-0.671689 + 1.16340i) q^{12} +(-2.29273 - 2.78269i) q^{13} +(-2.04403 + 3.81681i) q^{14} +(4.02173 + 4.02173i) q^{15} +(-2.44816 + 4.24034i) q^{16} +(-3.22444 - 5.58489i) q^{17} +(-0.392109 + 1.46337i) q^{18} +(0.786677 + 2.93592i) q^{19} +(-1.37622 - 1.37622i) q^{20} +(-1.19443 + 5.10429i) q^{21} +5.65717 q^{22} +(2.97203 + 1.71590i) q^{23} +(-1.10941 + 4.14038i) q^{24} +(-2.80599 + 1.62004i) q^{25} +(4.80273 + 3.42752i) q^{26} -4.10978i q^{27} +(0.408727 - 1.74666i) q^{28} -4.40371 q^{29} +(-8.06056 - 4.65376i) q^{30} +(3.24019 + 0.868206i) q^{31} +(0.953974 - 3.56028i) q^{32} +(6.61607 - 1.77277i) q^{33} +(7.46233 + 7.46233i) q^{34} +(-6.69515 - 3.58547i) q^{35} -0.627683i q^{36} +(-1.00744 - 3.75982i) q^{37} +(-2.48700 - 4.30762i) q^{38} +(6.69086 + 2.50347i) q^{39} +(-5.37812 - 3.10506i) q^{40} +(3.03989 - 3.03989i) q^{41} +(-0.273874 - 8.57425i) q^{42} +4.48958i q^{43} +(-2.26398 + 0.606632i) q^{44} +(-2.56693 - 0.687806i) q^{45} +(-5.42467 - 1.45353i) q^{46} +(-5.51561 + 1.47790i) q^{47} -9.70136i q^{48} +(-0.446725 - 6.98573i) q^{49} +(3.74927 - 3.74927i) q^{50} +(11.0656 + 6.38875i) q^{51} +(-2.28958 - 0.856675i) q^{52} +(5.72526 + 9.91644i) q^{53} +(1.74069 + 6.49634i) q^{54} +9.92337i q^{55} +(-0.182733 - 5.72087i) q^{56} +(-4.25841 - 4.25841i) q^{57} +(6.96095 - 1.86518i) q^{58} +(0.766469 - 2.86050i) q^{59} +(3.72484 + 0.998069i) q^{60} +(-3.03504 - 1.75228i) q^{61} -5.48950 q^{62} +(-0.709151 - 2.34446i) q^{63} -3.76085i q^{64} +(-6.01229 + 8.42457i) q^{65} +(-9.70717 + 5.60444i) q^{66} +(1.88809 - 7.04645i) q^{67} +(-3.78661 - 2.18620i) q^{68} -6.79964 q^{69} +(12.1016 + 2.83184i) q^{70} +(8.31408 + 8.31408i) q^{71} +(-0.518364 - 1.93456i) q^{72} +(1.20892 - 4.51174i) q^{73} +(3.18492 + 5.51645i) q^{74} +(3.20988 - 5.55967i) q^{75} +(1.45721 + 1.45721i) q^{76} +(-7.77084 + 4.82366i) q^{77} +(-11.6366 - 1.12334i) q^{78} +(-0.543920 + 0.942097i) q^{79} +(13.5762 + 3.63774i) q^{80} +(5.46013 + 9.45722i) q^{81} +(-3.51762 + 6.09269i) q^{82} +(-2.01261 + 2.01261i) q^{83} +(1.02904 + 3.40202i) q^{84} +(-13.0898 + 13.0898i) q^{85} +(-1.90155 - 7.09668i) q^{86} +(7.55635 - 4.36266i) q^{87} +(-6.47677 + 3.73937i) q^{88} +(4.79280 - 1.28423i) q^{89} +4.34887 q^{90} +(-9.51967 - 0.613022i) q^{91} +2.32680 q^{92} +(-6.41997 + 1.72023i) q^{93} +(8.09257 - 4.67225i) q^{94} +(7.55608 - 4.36250i) q^{95} +(1.89016 + 7.05418i) q^{96} +(3.20816 - 3.20816i) q^{97} +(3.66493 + 10.8531i) q^{98} +(-2.26299 + 2.26299i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} - 10q^{11} + 28q^{14} - 44q^{15} + 12q^{16} - 4q^{18} + 12q^{19} - 26q^{21} - 8q^{22} - 12q^{24} + 24q^{26} - 6q^{28} + 16q^{29} + 24q^{31} + 4q^{32} + 48q^{33} + 28q^{35} - 8q^{37} - 6q^{39} - 132q^{40} - 16q^{42} - 42q^{44} - 24q^{45} + 12q^{46} + 30q^{47} + 88q^{50} + 36q^{52} - 12q^{53} + 78q^{54} + 40q^{57} + 26q^{58} - 54q^{59} + 16q^{60} - 48q^{61} + 24q^{63} - 8q^{65} + 12q^{66} + 16q^{67} - 48q^{68} + 50q^{70} - 36q^{71} + 22q^{72} + 66q^{73} + 12q^{74} - 176q^{78} - 32q^{79} + 138q^{80} + 16q^{81} - 58q^{84} - 84q^{85} + 42q^{86} - 24q^{87} - 60q^{89} + 48q^{92} + 6q^{93} - 72q^{94} - 42q^{96} - 86q^{98} - 24q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.58070 + 0.423548i −1.11772 + 0.299493i −0.769962 0.638089i \(-0.779725\pi\)
−0.347762 + 0.937583i \(0.613058\pi\)
\(3\) −1.71590 + 0.990678i −0.990678 + 0.571968i −0.905477 0.424395i \(-0.860487\pi\)
−0.0852012 + 0.996364i \(0.527153\pi\)
\(4\) 0.587174 0.339005i 0.293587 0.169502i
\(5\) −0.742954 2.77274i −0.332259 1.24001i −0.906810 0.421539i \(-0.861490\pi\)
0.574551 0.818469i \(-0.305177\pi\)
\(6\) 2.29273 2.29273i 0.936005 0.936005i
\(7\) 1.81015 1.92960i 0.684172 0.729321i
\(8\) 1.52975 1.52975i 0.540847 0.540847i
\(9\) 0.462886 0.801742i 0.154295 0.267247i
\(10\) 2.34878 + 4.06820i 0.742749 + 1.28648i
\(11\) −3.33916 0.894725i −1.00679 0.269770i −0.282505 0.959266i \(-0.591165\pi\)
−0.724290 + 0.689496i \(0.757832\pi\)
\(12\) −0.671689 + 1.16340i −0.193900 + 0.335845i
\(13\) −2.29273 2.78269i −0.635890 0.771780i
\(14\) −2.04403 + 3.81681i −0.546289 + 1.02008i
\(15\) 4.02173 + 4.02173i 1.03841 + 1.03841i
\(16\) −2.44816 + 4.24034i −0.612040 + 1.06008i
\(17\) −3.22444 5.58489i −0.782040 1.35453i −0.930751 0.365653i \(-0.880846\pi\)
0.148711 0.988881i \(-0.452488\pi\)
\(18\) −0.392109 + 1.46337i −0.0924209 + 0.344920i
\(19\) 0.786677 + 2.93592i 0.180476 + 0.673546i 0.995554 + 0.0941943i \(0.0300275\pi\)
−0.815078 + 0.579352i \(0.803306\pi\)
\(20\) −1.37622 1.37622i −0.307731 0.307731i
\(21\) −1.19443 + 5.10429i −0.260646 + 1.11385i
\(22\) 5.65717 1.20611
\(23\) 2.97203 + 1.71590i 0.619712 + 0.357791i 0.776757 0.629801i \(-0.216863\pi\)
−0.157045 + 0.987591i \(0.550197\pi\)
\(24\) −1.10941 + 4.14038i −0.226458 + 0.845153i
\(25\) −2.80599 + 1.62004i −0.561198 + 0.324008i
\(26\) 4.80273 + 3.42752i 0.941893 + 0.672192i
\(27\) 4.10978i 0.790928i
\(28\) 0.408727 1.74666i 0.0772422 0.330088i
\(29\) −4.40371 −0.817748 −0.408874 0.912591i \(-0.634079\pi\)
−0.408874 + 0.912591i \(0.634079\pi\)
\(30\) −8.06056 4.65376i −1.47165 0.849657i
\(31\) 3.24019 + 0.868206i 0.581955 + 0.155934i 0.537774 0.843089i \(-0.319265\pi\)
0.0441812 + 0.999024i \(0.485932\pi\)
\(32\) 0.953974 3.56028i 0.168640 0.629374i
\(33\) 6.61607 1.77277i 1.15171 0.308600i
\(34\) 7.46233 + 7.46233i 1.27978 + 1.27978i
\(35\) −6.69515 3.58547i −1.13169 0.606055i
\(36\) 0.627683i 0.104614i
\(37\) −1.00744 3.75982i −0.165622 0.618110i −0.997960 0.0638414i \(-0.979665\pi\)
0.832338 0.554268i \(-0.187002\pi\)
\(38\) −2.48700 4.30762i −0.403445 0.698787i
\(39\) 6.69086 + 2.50347i 1.07140 + 0.400876i
\(40\) −5.37812 3.10506i −0.850356 0.490953i
\(41\) 3.03989 3.03989i 0.474751 0.474751i −0.428697 0.903448i \(-0.641027\pi\)
0.903448 + 0.428697i \(0.141027\pi\)
\(42\) −0.273874 8.57425i −0.0422597 1.32304i
\(43\) 4.48958i 0.684654i 0.939581 + 0.342327i \(0.111215\pi\)
−0.939581 + 0.342327i \(0.888785\pi\)
\(44\) −2.26398 + 0.606632i −0.341308 + 0.0914533i
\(45\) −2.56693 0.687806i −0.382655 0.102532i
\(46\) −5.42467 1.45353i −0.799823 0.214312i
\(47\) −5.51561 + 1.47790i −0.804535 + 0.215574i −0.637574 0.770389i \(-0.720062\pi\)
−0.166961 + 0.985964i \(0.553395\pi\)
\(48\) 9.70136i 1.40027i
\(49\) −0.446725 6.98573i −0.0638179 0.997962i
\(50\) 3.74927 3.74927i 0.530227 0.530227i
\(51\) 11.0656 + 6.38875i 1.54950 + 0.894605i
\(52\) −2.28958 0.856675i −0.317507 0.118799i
\(53\) 5.72526 + 9.91644i 0.786425 + 1.36213i 0.928144 + 0.372221i \(0.121404\pi\)
−0.141719 + 0.989907i \(0.545263\pi\)
\(54\) 1.74069 + 6.49634i 0.236878 + 0.884040i
\(55\) 9.92337i 1.33807i
\(56\) −0.182733 5.72087i −0.0244187 0.764483i
\(57\) −4.25841 4.25841i −0.564041 0.564041i
\(58\) 6.96095 1.86518i 0.914018 0.244910i
\(59\) 0.766469 2.86050i 0.0997857 0.372405i −0.897916 0.440167i \(-0.854919\pi\)
0.997702 + 0.0677619i \(0.0215858\pi\)
\(60\) 3.72484 + 0.998069i 0.480875 + 0.128850i
\(61\) −3.03504 1.75228i −0.388598 0.224357i 0.292955 0.956126i \(-0.405361\pi\)
−0.681552 + 0.731769i \(0.738695\pi\)
\(62\) −5.48950 −0.697167
\(63\) −0.709151 2.34446i −0.0893446 0.295374i
\(64\) 3.76085i 0.470107i
\(65\) −6.01229 + 8.42457i −0.745733 + 1.04494i
\(66\) −9.70717 + 5.60444i −1.19487 + 0.689859i
\(67\) 1.88809 7.04645i 0.230667 0.860861i −0.749387 0.662132i \(-0.769652\pi\)
0.980054 0.198729i \(-0.0636815\pi\)
\(68\) −3.78661 2.18620i −0.459193 0.265115i
\(69\) −6.79964 −0.818580
\(70\) 12.1016 + 2.83184i 1.44642 + 0.338470i
\(71\) 8.31408 + 8.31408i 0.986700 + 0.986700i 0.999913 0.0132127i \(-0.00420586\pi\)
−0.0132127 + 0.999913i \(0.504206\pi\)
\(72\) −0.518364 1.93456i −0.0610898 0.227990i
\(73\) 1.20892 4.51174i 0.141493 0.528059i −0.858393 0.512992i \(-0.828537\pi\)
0.999886 0.0150673i \(-0.00479626\pi\)
\(74\) 3.18492 + 5.51645i 0.370240 + 0.641274i
\(75\) 3.20988 5.55967i 0.370645 0.641975i
\(76\) 1.45721 + 1.45721i 0.167153 + 0.167153i
\(77\) −7.77084 + 4.82366i −0.885569 + 0.549708i
\(78\) −11.6366 1.12334i −1.31759 0.127193i
\(79\) −0.543920 + 0.942097i −0.0611957 + 0.105994i −0.895000 0.446066i \(-0.852825\pi\)
0.833804 + 0.552060i \(0.186158\pi\)
\(80\) 13.5762 + 3.63774i 1.51787 + 0.406712i
\(81\) 5.46013 + 9.45722i 0.606681 + 1.05080i
\(82\) −3.51762 + 6.09269i −0.388456 + 0.672825i
\(83\) −2.01261 + 2.01261i −0.220913 + 0.220913i −0.808883 0.587970i \(-0.799927\pi\)
0.587970 + 0.808883i \(0.299927\pi\)
\(84\) 1.02904 + 3.40202i 0.112278 + 0.371191i
\(85\) −13.0898 + 13.0898i −1.41979 + 1.41979i
\(86\) −1.90155 7.09668i −0.205049 0.765255i
\(87\) 7.55635 4.36266i 0.810125 0.467726i
\(88\) −6.47677 + 3.73937i −0.690426 + 0.398618i
\(89\) 4.79280 1.28423i 0.508036 0.136128i 0.00430871 0.999991i \(-0.498628\pi\)
0.503727 + 0.863863i \(0.331962\pi\)
\(90\) 4.34887 0.458411
\(91\) −9.51967 0.613022i −0.997933 0.0642621i
\(92\) 2.32680 0.242586
\(93\) −6.41997 + 1.72023i −0.665720 + 0.178379i
\(94\) 8.09257 4.67225i 0.834685 0.481906i
\(95\) 7.55608 4.36250i 0.775237 0.447584i
\(96\) 1.89016 + 7.05418i 0.192914 + 0.719964i
\(97\) 3.20816 3.20816i 0.325739 0.325739i −0.525225 0.850964i \(-0.676019\pi\)
0.850964 + 0.525225i \(0.176019\pi\)
\(98\) 3.66493 + 10.8531i 0.370214 + 1.09633i
\(99\) −2.26299 + 2.26299i −0.227439 + 0.227439i
\(100\) −1.09840 + 1.90249i −0.109840 + 0.190249i
\(101\) 4.57037 + 7.91611i 0.454769 + 0.787682i 0.998675 0.0514637i \(-0.0163887\pi\)
−0.543906 + 0.839146i \(0.683055\pi\)
\(102\) −20.1974 5.41188i −1.99984 0.535856i
\(103\) 2.56180 4.43716i 0.252421 0.437207i −0.711771 0.702412i \(-0.752106\pi\)
0.964192 + 0.265205i \(0.0854397\pi\)
\(104\) −7.76411 0.749511i −0.761334 0.0734956i
\(105\) 15.0403 0.480409i 1.46778 0.0468831i
\(106\) −13.2500 13.2500i −1.28696 1.28696i
\(107\) 6.27683 10.8718i 0.606804 1.05102i −0.384960 0.922933i \(-0.625785\pi\)
0.991764 0.128082i \(-0.0408821\pi\)
\(108\) −1.39324 2.41316i −0.134064 0.232206i
\(109\) 5.05389 18.8614i 0.484075 1.80659i −0.100114 0.994976i \(-0.531921\pi\)
0.584190 0.811617i \(-0.301412\pi\)
\(110\) −4.20302 15.6859i −0.400742 1.49559i
\(111\) 5.45344 + 5.45344i 0.517617 + 0.517617i
\(112\) 3.75063 + 12.3996i 0.354401 + 1.17165i
\(113\) 0.000230976 0 2.17284e−5 0 1.08642e−5 1.00000i \(-0.499997\pi\)
1.08642e−5 1.00000i \(0.499997\pi\)
\(114\) 8.53492 + 4.92764i 0.799368 + 0.461516i
\(115\) 2.54968 9.51552i 0.237759 0.887327i
\(116\) −2.58574 + 1.49288i −0.240080 + 0.138610i
\(117\) −3.29228 + 0.550112i −0.304371 + 0.0508579i
\(118\) 4.84623i 0.446132i
\(119\) −16.6133 3.88760i −1.52294 0.356375i
\(120\) 12.3045 1.12324
\(121\) 0.823180 + 0.475263i 0.0748345 + 0.0432057i
\(122\) 5.53967 + 1.48435i 0.501539 + 0.134387i
\(123\) −2.20461 + 8.22771i −0.198783 + 0.741867i
\(124\) 2.19688 0.588652i 0.197286 0.0528625i
\(125\) −3.57226 3.57226i −0.319513 0.319513i
\(126\) 2.11395 + 3.40553i 0.188325 + 0.303389i
\(127\) 12.4887i 1.10820i −0.832452 0.554098i \(-0.813063\pi\)
0.832452 0.554098i \(-0.186937\pi\)
\(128\) 3.50085 + 13.0653i 0.309434 + 1.15482i
\(129\) −4.44773 7.70369i −0.391600 0.678272i
\(130\) 5.93543 15.8632i 0.520571 1.39130i
\(131\) −11.7665 6.79340i −1.02805 0.593542i −0.111621 0.993751i \(-0.535604\pi\)
−0.916424 + 0.400209i \(0.868938\pi\)
\(132\) 3.28380 3.28380i 0.285818 0.285818i
\(133\) 7.08915 + 3.79647i 0.614708 + 0.329196i
\(134\) 11.9380i 1.03129i
\(135\) −11.3954 + 3.05338i −0.980757 + 0.262793i
\(136\) −13.4760 3.61089i −1.15556 0.309631i
\(137\) −1.30571 0.349865i −0.111555 0.0298910i 0.202610 0.979260i \(-0.435058\pi\)
−0.314164 + 0.949369i \(0.601724\pi\)
\(138\) 10.7482 2.87997i 0.914947 0.245159i
\(139\) 18.8190i 1.59621i 0.602521 + 0.798103i \(0.294163\pi\)
−0.602521 + 0.798103i \(0.705837\pi\)
\(140\) −5.14670 + 0.164393i −0.434976 + 0.0138938i
\(141\) 8.00014 8.00014i 0.673733 0.673733i
\(142\) −16.6635 9.62067i −1.39837 0.807349i
\(143\) 5.16606 + 11.3432i 0.432008 + 0.948568i
\(144\) 2.26644 + 3.92559i 0.188870 + 0.327132i
\(145\) 3.27175 + 12.2104i 0.271704 + 1.01401i
\(146\) 7.64375i 0.632601i
\(147\) 7.68715 + 11.5443i 0.634025 + 0.952157i
\(148\) −1.86614 1.86614i −0.153396 0.153396i
\(149\) 20.6026 5.52045i 1.68783 0.452253i 0.718003 0.696040i \(-0.245056\pi\)
0.969829 + 0.243787i \(0.0783898\pi\)
\(150\) −2.71907 + 10.1477i −0.222011 + 0.828557i
\(151\) −16.2963 4.36658i −1.32618 0.355348i −0.474887 0.880047i \(-0.657511\pi\)
−0.851288 + 0.524699i \(0.824178\pi\)
\(152\) 5.69463 + 3.28779i 0.461895 + 0.266675i
\(153\) −5.97019 −0.482661
\(154\) 10.2403 10.9161i 0.825189 0.879644i
\(155\) 9.62925i 0.773440i
\(156\) 4.77739 0.798262i 0.382497 0.0639121i
\(157\) −9.46297 + 5.46345i −0.755227 + 0.436031i −0.827580 0.561348i \(-0.810283\pi\)
0.0723522 + 0.997379i \(0.476949\pi\)
\(158\) 0.460752 1.71955i 0.0366554 0.136800i
\(159\) −19.6480 11.3438i −1.55819 0.899620i
\(160\) −10.5805 −0.836462
\(161\) 8.69084 2.62880i 0.684934 0.207178i
\(162\) −12.6364 12.6364i −0.992811 0.992811i
\(163\) −2.24503 8.37856i −0.175844 0.656259i −0.996406 0.0847019i \(-0.973006\pi\)
0.820562 0.571557i \(-0.193660\pi\)
\(164\) 0.754405 2.81548i 0.0589091 0.219852i
\(165\) −9.83087 17.0276i −0.765332 1.32559i
\(166\) 2.32890 4.03377i 0.180758 0.313082i
\(167\) 8.00174 + 8.00174i 0.619193 + 0.619193i 0.945324 0.326131i \(-0.105745\pi\)
−0.326131 + 0.945324i \(0.605745\pi\)
\(168\) 5.98109 + 9.63544i 0.461451 + 0.743390i
\(169\) −2.48674 + 12.7599i −0.191288 + 0.981534i
\(170\) 15.1470 26.2353i 1.16172 2.01216i
\(171\) 2.71799 + 0.728284i 0.207850 + 0.0556933i
\(172\) 1.52199 + 2.63616i 0.116050 + 0.201005i
\(173\) −1.63833 + 2.83768i −0.124560 + 0.215745i −0.921561 0.388234i \(-0.873085\pi\)
0.797001 + 0.603978i \(0.206419\pi\)
\(174\) −10.0965 + 10.0965i −0.765416 + 0.765416i
\(175\) −1.95323 + 8.34696i −0.147650 + 0.630971i
\(176\) 11.9687 11.9687i 0.902178 0.902178i
\(177\) 1.51865 + 5.66767i 0.114149 + 0.426008i
\(178\) −7.03205 + 4.05996i −0.527075 + 0.304307i
\(179\) 1.94863 1.12504i 0.145648 0.0840897i −0.425405 0.905003i \(-0.639868\pi\)
0.571053 + 0.820913i \(0.306535\pi\)
\(180\) −1.74040 + 0.466339i −0.129722 + 0.0347589i
\(181\) 15.5420 1.15523 0.577615 0.816310i \(-0.303984\pi\)
0.577615 + 0.816310i \(0.303984\pi\)
\(182\) 15.3074 3.06303i 1.13466 0.227047i
\(183\) 6.94380 0.513300
\(184\) 7.17136 1.92156i 0.528679 0.141659i
\(185\) −9.67652 + 5.58674i −0.711432 + 0.410745i
\(186\) 9.41946 5.43833i 0.690668 0.398757i
\(187\) 5.76997 + 21.5338i 0.421942 + 1.57471i
\(188\) −2.73761 + 2.73761i −0.199660 + 0.199660i
\(189\) −7.93025 7.43932i −0.576840 0.541131i
\(190\) −10.0962 + 10.0962i −0.732454 + 0.732454i
\(191\) 1.18897 2.05936i 0.0860308 0.149010i −0.819799 0.572651i \(-0.805915\pi\)
0.905830 + 0.423641i \(0.139248\pi\)
\(192\) 3.72579 + 6.45326i 0.268886 + 0.465724i
\(193\) 7.54017 + 2.02038i 0.542753 + 0.145430i 0.519771 0.854306i \(-0.326017\pi\)
0.0229822 + 0.999736i \(0.492684\pi\)
\(194\) −3.71233 + 6.42995i −0.266530 + 0.461643i
\(195\) 1.97048 20.4120i 0.141109 1.46173i
\(196\) −2.63050 3.95039i −0.187893 0.282171i
\(197\) −10.9402 10.9402i −0.779454 0.779454i 0.200284 0.979738i \(-0.435813\pi\)
−0.979738 + 0.200284i \(0.935813\pi\)
\(198\) 2.61863 4.53560i 0.186098 0.322331i
\(199\) 10.0868 + 17.4708i 0.715031 + 1.23847i 0.962947 + 0.269689i \(0.0869209\pi\)
−0.247916 + 0.968781i \(0.579746\pi\)
\(200\) −1.81420 + 6.77070i −0.128284 + 0.478761i
\(201\) 3.74098 + 13.9615i 0.263868 + 0.984771i
\(202\) −10.5772 10.5772i −0.744212 0.744212i
\(203\) −7.97137 + 8.49741i −0.559480 + 0.596401i
\(204\) 8.66327 0.606551
\(205\) −10.6873 6.17033i −0.746435 0.430954i
\(206\) −2.17009 + 8.09887i −0.151197 + 0.564275i
\(207\) 2.75143 1.58854i 0.191237 0.110411i
\(208\) 17.4125 2.90949i 1.20734 0.201737i
\(209\) 10.5074i 0.726809i
\(210\) −23.5707 + 7.12966i −1.62653 + 0.491993i
\(211\) 2.36943 0.163118 0.0815591 0.996669i \(-0.474010\pi\)
0.0815591 + 0.996669i \(0.474010\pi\)
\(212\) 6.72344 + 3.88178i 0.461768 + 0.266602i
\(213\) −22.5028 6.02959i −1.54186 0.413141i
\(214\) −5.31707 + 19.8436i −0.363468 + 1.35648i
\(215\) 12.4484 3.33555i 0.848976 0.227483i
\(216\) −6.28693 6.28693i −0.427771 0.427771i
\(217\) 7.54051 4.68069i 0.511883 0.317746i
\(218\) 31.9548i 2.16425i
\(219\) 2.39530 + 8.93936i 0.161859 + 0.604066i
\(220\) 3.36407 + 5.82674i 0.226806 + 0.392839i
\(221\) −8.14824 + 21.7773i −0.548110 + 1.46490i
\(222\) −10.9300 6.31046i −0.733577 0.423531i
\(223\) −9.67825 + 9.67825i −0.648103 + 0.648103i −0.952534 0.304431i \(-0.901534\pi\)
0.304431 + 0.952534i \(0.401534\pi\)
\(224\) −5.14309 8.28542i −0.343637 0.553593i
\(225\) 2.99958i 0.199972i
\(226\) −0.000365104 0 9.78292e-5i −2.42863e−5 0 6.50750e-6i
\(227\) −12.5940 3.37455i −0.835894 0.223977i −0.184611 0.982812i \(-0.559102\pi\)
−0.651283 + 0.758835i \(0.725769\pi\)
\(228\) −3.94405 1.05680i −0.261201 0.0699886i
\(229\) 14.6809 3.93373i 0.970139 0.259948i 0.261253 0.965270i \(-0.415864\pi\)
0.708887 + 0.705322i \(0.249198\pi\)
\(230\) 16.1211i 1.06299i
\(231\) 8.55532 15.9753i 0.562899 1.05110i
\(232\) −6.73656 + 6.73656i −0.442277 + 0.442277i
\(233\) 6.69859 + 3.86743i 0.438839 + 0.253364i 0.703105 0.711086i \(-0.251796\pi\)
−0.264266 + 0.964450i \(0.585130\pi\)
\(234\) 4.97111 2.26400i 0.324971 0.148002i
\(235\) 8.19569 + 14.1954i 0.534628 + 0.926003i
\(236\) −0.519673 1.93945i −0.0338278 0.126247i
\(237\) 2.15540i 0.140008i
\(238\) 27.9073 0.891400i 1.80896 0.0577809i
\(239\) 2.10971 + 2.10971i 0.136466 + 0.136466i 0.772040 0.635574i \(-0.219237\pi\)
−0.635574 + 0.772040i \(0.719237\pi\)
\(240\) −26.8994 + 7.20766i −1.73635 + 0.465253i
\(241\) 6.83448 25.5066i 0.440247 1.64303i −0.287941 0.957648i \(-0.592971\pi\)
0.728188 0.685377i \(-0.240363\pi\)
\(242\) −1.50250 0.402593i −0.0965843 0.0258797i
\(243\) −8.06060 4.65379i −0.517088 0.298541i
\(244\) −2.37613 −0.152116
\(245\) −19.0377 + 6.42873i −1.21628 + 0.410717i
\(246\) 13.9393i 0.888738i
\(247\) 6.36611 8.92036i 0.405066 0.567589i
\(248\) 6.28480 3.62853i 0.399085 0.230412i
\(249\) 1.45960 5.44730i 0.0924984 0.345209i
\(250\) 7.15971 + 4.13366i 0.452820 + 0.261436i
\(251\) −7.06132 −0.445707 −0.222853 0.974852i \(-0.571537\pi\)
−0.222853 + 0.974852i \(0.571537\pi\)
\(252\) −1.21118 1.13620i −0.0762970 0.0715738i
\(253\) −8.38884 8.38884i −0.527402 0.527402i
\(254\) 5.28957 + 19.7409i 0.331897 + 1.23866i
\(255\) 9.49310 35.4287i 0.594481 2.21863i
\(256\) −7.30674 12.6556i −0.456671 0.790978i
\(257\) −6.52671 + 11.3046i −0.407125 + 0.705161i −0.994566 0.104106i \(-0.966802\pi\)
0.587441 + 0.809267i \(0.300135\pi\)
\(258\) 10.2934 + 10.2934i 0.640839 + 0.640839i
\(259\) −9.07856 4.86187i −0.564114 0.302102i
\(260\) −0.674288 + 6.98488i −0.0418175 + 0.433184i
\(261\) −2.03842 + 3.53064i −0.126175 + 0.218541i
\(262\) 21.4767 + 5.75466i 1.32683 + 0.355524i
\(263\) −11.1673 19.3423i −0.688606 1.19270i −0.972289 0.233782i \(-0.924890\pi\)
0.283684 0.958918i \(-0.408443\pi\)
\(264\) 7.40901 12.8328i 0.455993 0.789804i
\(265\) 23.2421 23.2421i 1.42775 1.42775i
\(266\) −12.8138 2.99850i −0.785666 0.183850i
\(267\) −6.95173 + 6.95173i −0.425439 + 0.425439i
\(268\) −1.28014 4.77756i −0.0781972 0.291836i
\(269\) 2.71439 1.56715i 0.165499 0.0955511i −0.414963 0.909838i \(-0.636205\pi\)
0.580462 + 0.814287i \(0.302872\pi\)
\(270\) 16.7194 9.65297i 1.01751 0.587461i
\(271\) −15.2711 + 4.09187i −0.927651 + 0.248563i −0.690853 0.722995i \(-0.742765\pi\)
−0.236798 + 0.971559i \(0.576098\pi\)
\(272\) 31.5757 1.91456
\(273\) 16.9422 8.37905i 1.02539 0.507123i
\(274\) 2.21213 0.133639
\(275\) 10.8191 2.89898i 0.652419 0.174815i
\(276\) −3.99257 + 2.30511i −0.240324 + 0.138751i
\(277\) 25.5340 14.7421i 1.53419 0.885765i 0.535028 0.844834i \(-0.320301\pi\)
0.999162 0.0409305i \(-0.0130322\pi\)
\(278\) −7.97074 29.7472i −0.478053 1.78412i
\(279\) 2.19592 2.19592i 0.131466 0.131466i
\(280\) −15.7267 + 4.75701i −0.939852 + 0.284286i
\(281\) 16.8969 16.8969i 1.00798 1.00798i 0.00801615 0.999968i \(-0.497448\pi\)
0.999968 0.00801615i \(-0.00255165\pi\)
\(282\) −9.25739 + 16.0343i −0.551270 + 0.954827i
\(283\) −4.66719 8.08381i −0.277436 0.480533i 0.693311 0.720638i \(-0.256151\pi\)
−0.970747 + 0.240106i \(0.922818\pi\)
\(284\) 7.70032 + 2.06330i 0.456930 + 0.122434i
\(285\) −8.64368 + 14.9713i −0.512007 + 0.886822i
\(286\) −12.9704 15.7422i −0.766956 0.930854i
\(287\) −0.363124 11.3684i −0.0214346 0.671057i
\(288\) −2.41285 2.41285i −0.142178 0.142178i
\(289\) −12.2940 + 21.2938i −0.723174 + 1.25257i
\(290\) −10.3433 17.9152i −0.607381 1.05202i
\(291\) −2.32664 + 8.68315i −0.136390 + 0.509015i
\(292\) −0.819657 3.05900i −0.0479668 0.179015i
\(293\) −2.08232 2.08232i −0.121650 0.121650i 0.643661 0.765311i \(-0.277415\pi\)
−0.765311 + 0.643661i \(0.777415\pi\)
\(294\) −17.0406 14.9922i −0.993830 0.874363i
\(295\) −8.50088 −0.494940
\(296\) −7.29269 4.21044i −0.423879 0.244727i
\(297\) −3.67713 + 13.7232i −0.213369 + 0.796302i
\(298\) −30.2284 + 17.4524i −1.75108 + 1.01099i
\(299\) −2.03925 12.2044i −0.117933 0.705797i
\(300\) 4.35265i 0.251301i
\(301\) 8.66309 + 8.12680i 0.499332 + 0.468421i
\(302\) 27.6091 1.58872
\(303\) −15.6846 9.05553i −0.901058 0.520226i
\(304\) −14.3752 3.85182i −0.824474 0.220917i
\(305\) −2.60373 + 9.71726i −0.149089 + 0.556409i
\(306\) 9.43708 2.52866i 0.539482 0.144554i
\(307\) 3.85597 + 3.85597i 0.220072 + 0.220072i 0.808529 0.588457i \(-0.200264\pi\)
−0.588457 + 0.808529i \(0.700264\pi\)
\(308\) −2.92759 + 5.46668i −0.166815 + 0.311493i
\(309\) 10.1517i 0.577508i
\(310\) 4.07844 + 15.2210i 0.231640 + 0.864493i
\(311\) 7.03750 + 12.1893i 0.399060 + 0.691192i 0.993610 0.112866i \(-0.0360032\pi\)
−0.594550 + 0.804058i \(0.702670\pi\)
\(312\) 14.0650 6.40565i 0.796274 0.362648i
\(313\) 4.07599 + 2.35327i 0.230388 + 0.133015i 0.610751 0.791823i \(-0.290868\pi\)
−0.380363 + 0.924837i \(0.624201\pi\)
\(314\) 12.6441 12.6441i 0.713548 0.713548i
\(315\) −5.97371 + 3.70812i −0.336581 + 0.208929i
\(316\) 0.737566i 0.0414913i
\(317\) −28.2860 + 7.57921i −1.58870 + 0.425691i −0.941605 0.336720i \(-0.890683\pi\)
−0.647094 + 0.762410i \(0.724016\pi\)
\(318\) 35.8623 + 9.60926i 2.01106 + 0.538861i
\(319\) 14.7047 + 3.94011i 0.823305 + 0.220604i
\(320\) −10.4279 + 2.79414i −0.582936 + 0.156197i
\(321\) 24.8733i 1.38829i
\(322\) −12.6242 + 7.83633i −0.703519 + 0.436702i
\(323\) 13.8602 13.8602i 0.771201 0.771201i
\(324\) 6.41209 + 3.70202i 0.356227 + 0.205668i
\(325\) 10.9415 + 4.09389i 0.606923 + 0.227088i
\(326\) 7.09744 + 12.2931i 0.393091 + 0.680853i
\(327\) 10.0136 + 37.3711i 0.553751 + 2.06663i
\(328\) 9.30051i 0.513535i
\(329\) −7.13231 + 13.3182i −0.393217 + 0.734254i
\(330\) 22.7516 + 22.7516i 1.25244 + 1.25244i
\(331\) −14.3138 + 3.83537i −0.786757 + 0.210811i −0.629762 0.776788i \(-0.716848\pi\)
−0.156996 + 0.987599i \(0.550181\pi\)
\(332\) −0.499467 + 1.86404i −0.0274118 + 0.102302i
\(333\) −3.48073 0.932660i −0.190743 0.0511094i
\(334\) −16.0375 9.25924i −0.877532 0.506643i
\(335\) −20.9408 −1.14412
\(336\) −18.7198 17.5609i −1.02125 0.958026i
\(337\) 9.51919i 0.518543i 0.965804 + 0.259272i \(0.0834825\pi\)
−0.965804 + 0.259272i \(0.916518\pi\)
\(338\) −1.47364 21.2229i −0.0801557 1.15437i
\(339\) −0.000396332 0 0.000228823i −2.15258e−5 0 1.24279e-5i
\(340\) −3.24849 + 12.1235i −0.176174 + 0.657491i
\(341\) −10.0427 5.79816i −0.543843 0.313988i
\(342\) −4.60480 −0.248999
\(343\) −14.2883 11.7832i −0.771497 0.636233i
\(344\) 6.86791 + 6.86791i 0.370293 + 0.370293i
\(345\) 5.05182 + 18.8536i 0.271981 + 1.01505i
\(346\) 1.38783 5.17944i 0.0746100 0.278448i
\(347\) 17.5649 + 30.4233i 0.942933 + 1.63321i 0.759838 + 0.650112i \(0.225278\pi\)
0.183095 + 0.983095i \(0.441388\pi\)
\(348\) 2.95792 5.12328i 0.158561 0.274636i
\(349\) 6.64759 + 6.64759i 0.355837 + 0.355837i 0.862276 0.506439i \(-0.169038\pi\)
−0.506439 + 0.862276i \(0.669038\pi\)
\(350\) −0.447862 14.0213i −0.0239393 0.749472i
\(351\) −11.4363 + 9.42264i −0.610422 + 0.502943i
\(352\) −6.37094 + 11.0348i −0.339572 + 0.588157i
\(353\) 11.9516 + 3.20243i 0.636121 + 0.170448i 0.562446 0.826834i \(-0.309861\pi\)
0.0736752 + 0.997282i \(0.476527\pi\)
\(354\) −4.80106 8.31567i −0.255173 0.441973i
\(355\) 16.8758 29.2298i 0.895676 1.55136i
\(356\) 2.37885 2.37885i 0.126079 0.126079i
\(357\) 32.3582 9.78770i 1.71258 0.518020i
\(358\) −2.60370 + 2.60370i −0.137610 + 0.137610i
\(359\) −1.10969 4.14143i −0.0585673 0.218576i 0.930440 0.366445i \(-0.119425\pi\)
−0.989007 + 0.147869i \(0.952759\pi\)
\(360\) −4.97892 + 2.87458i −0.262412 + 0.151504i
\(361\) 8.45373 4.88076i 0.444933 0.256882i
\(362\) −24.5673 + 6.58279i −1.29123 + 0.345984i
\(363\) −1.88333 −0.0988493
\(364\) −5.79752 + 2.86727i −0.303873 + 0.150286i
\(365\) −13.4081 −0.701810
\(366\) −10.9761 + 2.94103i −0.573728 + 0.153730i
\(367\) −21.4207 + 12.3672i −1.11815 + 0.645565i −0.940928 0.338606i \(-0.890045\pi\)
−0.177223 + 0.984171i \(0.556711\pi\)
\(368\) −14.5520 + 8.40162i −0.758577 + 0.437965i
\(369\) −1.03008 3.84433i −0.0536241 0.200128i
\(370\) 12.9294 12.9294i 0.672169 0.672169i
\(371\) 29.4984 + 6.90276i 1.53148 + 0.358373i
\(372\) −3.18647 + 3.18647i −0.165211 + 0.165211i
\(373\) 3.95677 6.85332i 0.204874 0.354852i −0.745219 0.666820i \(-0.767655\pi\)
0.950092 + 0.311968i \(0.100988\pi\)
\(374\) −18.2412 31.5947i −0.943230 1.63372i
\(375\) 9.66863 + 2.59070i 0.499286 + 0.133783i
\(376\) −6.17667 + 10.6983i −0.318537 + 0.551723i
\(377\) 10.0965 + 12.2542i 0.519998 + 0.631122i
\(378\) 15.6863 + 8.40050i 0.806814 + 0.432075i
\(379\) 3.32389 + 3.32389i 0.170737 + 0.170737i 0.787303 0.616566i \(-0.211477\pi\)
−0.616566 + 0.787303i \(0.711477\pi\)
\(380\) 2.95782 5.12309i 0.151733 0.262809i
\(381\) 12.3723 + 21.4295i 0.633853 + 1.09786i
\(382\) −1.00717 + 3.75881i −0.0515313 + 0.192318i
\(383\) −2.34411 8.74833i −0.119778 0.447019i 0.879822 0.475304i \(-0.157662\pi\)
−0.999600 + 0.0282852i \(0.990995\pi\)
\(384\) −18.9507 18.9507i −0.967072 0.967072i
\(385\) 19.1482 + 17.9628i 0.975880 + 0.915468i
\(386\) −12.7745 −0.650204
\(387\) 3.59948 + 2.07816i 0.182972 + 0.105639i
\(388\) 0.796165 2.97133i 0.0404191 0.150846i
\(389\) −18.5856 + 10.7304i −0.942328 + 0.544053i −0.890689 0.454612i \(-0.849778\pi\)
−0.0516387 + 0.998666i \(0.516444\pi\)
\(390\) 5.53072 + 33.0999i 0.280059 + 1.67608i
\(391\) 22.1313i 1.11923i
\(392\) −11.3698 10.0030i −0.574260 0.505229i
\(393\) 26.9203 1.35795
\(394\) 21.9268 + 12.6594i 1.10466 + 0.637773i
\(395\) 3.01630 + 0.808215i 0.151766 + 0.0406657i
\(396\) −0.561604 + 2.09593i −0.0282216 + 0.105325i
\(397\) −12.6288 + 3.38387i −0.633819 + 0.169831i −0.561402 0.827543i \(-0.689738\pi\)
−0.0724172 + 0.997374i \(0.523071\pi\)
\(398\) −23.3439 23.3439i −1.17012 1.17012i
\(399\) −15.9254 + 0.508681i −0.797267 + 0.0254659i
\(400\) 15.8645i 0.793224i
\(401\) −5.49301 20.5002i −0.274308 1.02373i −0.956304 0.292375i \(-0.905555\pi\)
0.681996 0.731356i \(-0.261112\pi\)
\(402\) −11.8267 20.4845i −0.589865 1.02168i
\(403\) −5.01294 11.0070i −0.249712 0.548298i
\(404\) 5.36720 + 3.09875i 0.267028 + 0.154169i
\(405\) 22.1658 22.1658i 1.10143 1.10143i
\(406\) 9.00130 16.8081i 0.446727 0.834173i
\(407\) 13.4560i 0.666990i
\(408\) 26.7008 7.15446i 1.32189 0.354199i
\(409\) −8.22781 2.20463i −0.406839 0.109012i 0.0495951 0.998769i \(-0.484207\pi\)
−0.456434 + 0.889757i \(0.650874\pi\)
\(410\) 19.5069 + 5.22686i 0.963377 + 0.258136i
\(411\) 2.58708 0.693207i 0.127611 0.0341934i
\(412\) 3.47385i 0.171144i
\(413\) −4.13220 6.65691i −0.203332 0.327565i
\(414\) −3.67636 + 3.67636i −0.180683 + 0.180683i
\(415\) 7.07573 + 4.08517i 0.347334 + 0.200533i
\(416\) −12.0944 + 5.50816i −0.592975 + 0.270060i
\(417\) −18.6436 32.2916i −0.912979 1.58133i
\(418\) 4.45037 + 16.6090i 0.217675 + 0.812373i
\(419\) 8.39090i 0.409922i −0.978770 0.204961i \(-0.934293\pi\)
0.978770 0.204961i \(-0.0657068\pi\)
\(420\) 8.66839 5.38081i 0.422974 0.262557i
\(421\) 20.5414 + 20.5414i 1.00113 + 1.00113i 0.999999 + 0.00112764i \(0.000358939\pi\)
0.00112764 + 0.999999i \(0.499641\pi\)
\(422\) −3.74536 + 1.00357i −0.182321 + 0.0488528i
\(423\) −1.36820 + 5.10620i −0.0665243 + 0.248272i
\(424\) 23.9278 + 6.41144i 1.16204 + 0.311367i
\(425\) 18.0955 + 10.4474i 0.877760 + 0.506775i
\(426\) 38.1240 1.84711
\(427\) −8.87509 + 2.68453i −0.429496 + 0.129914i
\(428\) 8.51150i 0.411419i
\(429\) −20.1020 14.3460i −0.970531 0.692631i
\(430\) −18.2645 + 10.5450i −0.880792 + 0.508526i
\(431\) 2.58923 9.66314i 0.124719 0.465457i −0.875111 0.483923i \(-0.839212\pi\)
0.999829 + 0.0184658i \(0.00587819\pi\)
\(432\) 17.4269 + 10.0614i 0.838451 + 0.484080i
\(433\) −41.3846 −1.98882 −0.994409 0.105595i \(-0.966325\pi\)
−0.994409 + 0.105595i \(0.966325\pi\)
\(434\) −9.93681 + 10.5925i −0.476982 + 0.508458i
\(435\) −17.7105 17.7105i −0.849156 0.849156i
\(436\) −3.42659 12.7882i −0.164104 0.612444i
\(437\) −2.69973 + 10.0755i −0.129145 + 0.481977i
\(438\) −7.57249 13.1159i −0.361828 0.626704i
\(439\) 0.0712884 0.123475i 0.00340241 0.00589314i −0.864319 0.502944i \(-0.832250\pi\)
0.867722 + 0.497051i \(0.165584\pi\)
\(440\) 15.1802 + 15.1802i 0.723689 + 0.723689i
\(441\) −5.80754 2.87544i −0.276550 0.136926i
\(442\) 3.65623 37.8745i 0.173909 1.80151i
\(443\) −12.9368 + 22.4072i −0.614647 + 1.06460i 0.375800 + 0.926701i \(0.377368\pi\)
−0.990446 + 0.137898i \(0.955965\pi\)
\(444\) 5.05085 + 1.35337i 0.239703 + 0.0642282i
\(445\) −7.12166 12.3351i −0.337599 0.584738i
\(446\) 11.1992 19.3976i 0.530298 0.918504i
\(447\) −29.8831 + 29.8831i −1.41342 + 1.41342i
\(448\) −7.25695 6.80770i −0.342859 0.321634i
\(449\) 1.26645 1.26645i 0.0597675 0.0597675i −0.676591 0.736359i \(-0.736544\pi\)
0.736359 + 0.676591i \(0.236544\pi\)
\(450\) −1.27046 4.74144i −0.0598902 0.223513i
\(451\) −12.8705 + 7.43081i −0.606050 + 0.349903i
\(452\) 0.000135623 0 7.83019e-5i 6.37916e−6 0 3.68301e-6i
\(453\) 32.2888 8.65176i 1.51706 0.406495i
\(454\) 21.3367 1.00138
\(455\) 5.37293 + 26.8511i 0.251887 + 1.25880i
\(456\) −13.0286 −0.610119
\(457\) 4.50353 1.20672i 0.210666 0.0564479i −0.151942 0.988389i \(-0.548553\pi\)
0.362609 + 0.931941i \(0.381886\pi\)
\(458\) −21.5400 + 12.4361i −1.00650 + 0.581101i
\(459\) −22.9527 + 13.2517i −1.07134 + 0.618538i
\(460\) −1.72871 6.45162i −0.0806013 0.300808i
\(461\) −3.60896 + 3.60896i −0.168086 + 0.168086i −0.786137 0.618052i \(-0.787922\pi\)
0.618052 + 0.786137i \(0.287922\pi\)
\(462\) −6.75709 + 28.8758i −0.314368 + 1.34343i
\(463\) −4.00230 + 4.00230i −0.186003 + 0.186003i −0.793965 0.607963i \(-0.791987\pi\)
0.607963 + 0.793965i \(0.291987\pi\)
\(464\) 10.7810 18.6732i 0.500495 0.866883i
\(465\) 9.53948 + 16.5229i 0.442383 + 0.766230i
\(466\) −12.2265 3.27608i −0.566382 0.151762i
\(467\) 20.0309 34.6946i 0.926921 1.60547i 0.138479 0.990365i \(-0.455779\pi\)
0.788442 0.615109i \(-0.210888\pi\)
\(468\) −1.74665 + 1.43911i −0.0807388 + 0.0665228i
\(469\) −10.1791 16.3984i −0.470028 0.757207i
\(470\) −18.9674 18.9674i −0.874899 0.874899i
\(471\) 10.8250 18.7495i 0.498791 0.863932i
\(472\) −3.20334 5.54834i −0.147446 0.255383i
\(473\) 4.01694 14.9914i 0.184699 0.689306i
\(474\) 0.912914 + 3.40704i 0.0419315 + 0.156491i
\(475\) −6.96371 6.96371i −0.319517 0.319517i
\(476\) −11.0728 + 3.34930i −0.507521 + 0.153515i
\(477\) 10.6006 0.485367
\(478\) −4.22838 2.44126i −0.193402 0.111661i
\(479\) 3.05163 11.3889i 0.139433 0.520370i −0.860508 0.509438i \(-0.829853\pi\)
0.999940 0.0109323i \(-0.00347991\pi\)
\(480\) 18.1551 10.4819i 0.828664 0.478430i
\(481\) −8.15261 + 11.4236i −0.371727 + 0.520874i
\(482\) 43.2131i 1.96830i
\(483\) −12.3084 + 13.1206i −0.560049 + 0.597008i
\(484\) 0.644466 0.0292939
\(485\) −11.2789 6.51188i −0.512149 0.295689i
\(486\) 14.7125 + 3.94220i 0.667373 + 0.178822i
\(487\) 0.142428 0.531550i 0.00645405 0.0240868i −0.962624 0.270842i \(-0.912698\pi\)
0.969078 + 0.246756i \(0.0793645\pi\)
\(488\) −7.32340 + 1.96230i −0.331515 + 0.0888291i
\(489\) 12.1527 + 12.1527i 0.549564 + 0.549564i
\(490\) 27.3701 18.2253i 1.23646 0.823335i
\(491\) 3.02403i 0.136472i −0.997669 0.0682362i \(-0.978263\pi\)
0.997669 0.0682362i \(-0.0217372\pi\)
\(492\) 1.49474 + 5.57846i 0.0673883 + 0.251497i
\(493\) 14.1995 + 24.5942i 0.639512 + 1.10767i
\(494\) −6.28473 + 16.7968i −0.282763 + 0.755723i
\(495\) 7.95599 + 4.59339i 0.357595 + 0.206458i
\(496\) −11.6140 + 11.6140i −0.521484 + 0.521484i
\(497\) 31.0926 0.993144i 1.39469 0.0445486i
\(498\) 9.22876i 0.413551i
\(499\) 37.0427 9.92557i 1.65826 0.444330i 0.696352 0.717701i \(-0.254805\pi\)
0.961909 + 0.273371i \(0.0881387\pi\)
\(500\) −3.30855 0.886524i −0.147963 0.0396466i
\(501\) −21.6574 5.80307i −0.967580 0.259262i
\(502\) 11.1618 2.99081i 0.498178 0.133486i
\(503\) 27.2615i 1.21553i −0.794117 0.607765i \(-0.792066\pi\)
0.794117 0.607765i \(-0.207934\pi\)
\(504\) −4.67125 2.50161i −0.208074 0.111430i
\(505\) 18.5538 18.5538i 0.825631 0.825631i
\(506\) 16.8133 + 9.70717i 0.747443 + 0.431536i
\(507\) −8.37398 24.3584i −0.371901 1.08179i
\(508\) −4.23374 7.33305i −0.187842 0.325351i
\(509\) −4.67772 17.4575i −0.207336 0.773790i −0.988725 0.149745i \(-0.952155\pi\)
0.781388 0.624045i \(-0.214512\pi\)
\(510\) 60.0230i 2.65786i
\(511\) −6.51754 10.4996i −0.288319 0.464477i
\(512\) −2.21895 2.21895i −0.0980646 0.0980646i
\(513\) 12.0660 3.23307i 0.532726 0.142744i
\(514\) 5.52874 20.6336i 0.243862 0.910107i
\(515\) −14.2064 3.80660i −0.626009 0.167739i
\(516\) −5.22317 3.01560i −0.229937 0.132754i
\(517\) 19.7398 0.868157
\(518\) 16.4097 + 3.83996i 0.721002 + 0.168718i
\(519\) 6.49225i 0.284978i
\(520\) 3.69018 + 22.0847i 0.161825 + 0.968480i
\(521\) 10.0266 5.78888i 0.439275 0.253616i −0.264015 0.964519i \(-0.585047\pi\)
0.703290 + 0.710903i \(0.251714\pi\)
\(522\) 1.72673 6.44426i 0.0755771 0.282057i
\(523\) −8.36503 4.82955i −0.365777 0.211182i 0.305835 0.952085i \(-0.401065\pi\)
−0.671612 + 0.740903i \(0.734398\pi\)
\(524\) −9.21198 −0.402427
\(525\) −4.91759 16.2576i −0.214621 0.709540i
\(526\) 25.8446 + 25.8446i 1.12688 + 1.12688i
\(527\) −5.59895 20.8956i −0.243894 0.910225i
\(528\) −8.68005 + 32.3944i −0.377751 + 1.40978i
\(529\) −5.61134 9.71913i −0.243971 0.422571i
\(530\) −26.8947 + 46.5830i −1.16823 + 2.02344i
\(531\) −1.93860 1.93860i −0.0841279 0.0841279i
\(532\) 5.44959 0.174068i 0.236270 0.00754680i
\(533\) −15.4287 1.48942i −0.668292 0.0645138i
\(534\) 8.04422 13.9330i 0.348107 0.602940i
\(535\) −34.8081 9.32679i −1.50488 0.403232i
\(536\) −7.89098 13.6676i −0.340839 0.590350i
\(537\) −2.22911 + 3.86094i −0.0961933 + 0.166612i
\(538\) −3.62688 + 3.62688i −0.156366 + 0.156366i
\(539\) −4.75862 + 23.7262i −0.204968 + 1.02196i
\(540\) −5.65595 + 5.65595i −0.243393 + 0.243393i
\(541\) 7.88175 + 29.4151i 0.338863 + 1.26465i 0.899620 + 0.436673i \(0.143843\pi\)
−0.560757 + 0.827980i \(0.689490\pi\)
\(542\) 22.4059 12.9360i 0.962415 0.555651i
\(543\) −26.6686 + 15.3971i −1.14446 + 0.660754i
\(544\) −22.9598 + 6.15205i −0.984392 + 0.263767i
\(545\) −56.0526 −2.40103
\(546\) −23.2316 + 20.4206i −0.994220 + 0.873920i
\(547\) 41.0288 1.75427 0.877133 0.480247i \(-0.159453\pi\)
0.877133 + 0.480247i \(0.159453\pi\)
\(548\) −0.885286 + 0.237212i −0.0378176 + 0.0101332i
\(549\) −2.80976 + 1.62222i −0.119918 + 0.0692345i
\(550\) −15.8740 + 9.16485i −0.676869 + 0.390790i
\(551\) −3.46430 12.9289i −0.147584 0.550791i
\(552\) −10.4017 + 10.4017i −0.442727 + 0.442727i
\(553\) 0.833296 + 2.75488i 0.0354353 + 0.117150i
\(554\) −34.1177 + 34.1177i −1.44952 + 1.44952i
\(555\) 11.0693 19.1726i 0.469867 0.813833i
\(556\) 6.37973 + 11.0500i 0.270561 + 0.468625i
\(557\) −3.81720 1.02281i −0.161740 0.0433381i 0.177040 0.984204i \(-0.443348\pi\)
−0.338780 + 0.940866i \(0.610014\pi\)
\(558\) −2.54101 + 4.40116i −0.107570 + 0.186316i
\(559\) 12.4931 10.2934i 0.528402 0.435365i
\(560\) 31.5944 19.6119i 1.33511 0.828753i
\(561\) −31.2338 31.2338i −1.31869 1.31869i
\(562\) −19.5523 + 33.8656i −0.824764 + 1.42853i
\(563\) 14.8777 + 25.7689i 0.627018 + 1.08603i 0.988147 + 0.153512i \(0.0490583\pi\)
−0.361128 + 0.932516i \(0.617608\pi\)
\(564\) 1.98538 7.40956i 0.0835998 0.311999i
\(565\) −0.000171604 0 0.000640436i −7.21945e−6 0 2.69433e-5i
\(566\) 10.8013 + 10.8013i 0.454013 + 0.454013i
\(567\) 28.1323 + 6.58310i 1.18145 + 0.276464i
\(568\) 25.4369 1.06731
\(569\) 10.3301 + 5.96411i 0.433062 + 0.250028i 0.700650 0.713505i \(-0.252893\pi\)
−0.267588 + 0.963533i \(0.586227\pi\)
\(570\) 7.32202 27.3261i 0.306686 1.14457i
\(571\) 9.93851 5.73800i 0.415914 0.240128i −0.277414 0.960751i \(-0.589477\pi\)
0.693328 + 0.720623i \(0.256144\pi\)
\(572\) 6.87878 + 4.90912i 0.287616 + 0.205261i
\(573\) 4.71154i 0.196828i
\(574\) 5.38906 + 17.8163i 0.224935 + 0.743637i
\(575\) −11.1193 −0.463708
\(576\) −3.01524 1.74085i −0.125635 0.0725353i
\(577\) 3.71634 + 0.995790i 0.154713 + 0.0414553i 0.335344 0.942096i \(-0.391147\pi\)
−0.180631 + 0.983551i \(0.557814\pi\)
\(578\) 10.4142 38.8662i 0.433172 1.61662i
\(579\) −14.9398 + 4.00310i −0.620875 + 0.166363i
\(580\) 6.06046 + 6.06046i 0.251647 + 0.251647i
\(581\) 0.240413 + 7.52666i 0.00997401 + 0.312259i
\(582\) 14.7109i 0.609787i
\(583\) −10.2451 38.2351i −0.424308 1.58354i
\(584\) −5.05248 8.75115i −0.209073 0.362125i
\(585\) 3.97133 + 8.71993i 0.164194 + 0.360525i
\(586\) 4.17348 + 2.40956i 0.172405 + 0.0995380i
\(587\) 26.9080 26.9080i 1.11061 1.11061i 0.117543 0.993068i \(-0.462498\pi\)
0.993068 0.117543i \(-0.0375018\pi\)
\(588\) 8.42726 + 4.17252i 0.347534 + 0.172072i
\(589\) 10.1959i 0.420116i
\(590\) 13.4374 3.60053i 0.553207 0.148231i
\(591\) 29.6104 + 7.93409i 1.21801 + 0.326365i
\(592\) 18.4093 + 4.93275i 0.756616 + 0.202735i
\(593\) 9.86174 2.64245i 0.404973 0.108512i −0.0505817 0.998720i \(-0.516108\pi\)
0.455555 + 0.890208i \(0.349441\pi\)
\(594\) 23.2498i 0.953949i
\(595\) 1.56362 + 48.9527i 0.0641023 + 2.00687i
\(596\) 10.2258 10.2258i 0.418867 0.418867i
\(597\) −34.6158 19.9855i −1.41673 0.817950i
\(598\) 8.39258 + 18.4277i 0.343198 + 0.753566i
\(599\) 11.3254 + 19.6162i 0.462745 + 0.801498i 0.999097 0.0424970i \(-0.0135313\pi\)
−0.536352 + 0.843995i \(0.680198\pi\)
\(600\) −3.59459 13.4152i −0.146748 0.547672i
\(601\) 8.02946i 0.327529i 0.986499 + 0.163764i \(0.0523637\pi\)
−0.986499 + 0.163764i \(0.947636\pi\)
\(602\) −17.1359 9.17681i −0.698405 0.374019i
\(603\) −4.77547 4.77547i −0.194472 0.194472i
\(604\) −11.0491 + 2.96059i −0.449580 + 0.120465i
\(605\) 0.706197 2.63556i 0.0287110 0.107151i
\(606\) 28.6282 + 7.67089i 1.16294 + 0.311609i
\(607\) 2.91774 + 1.68456i 0.118427 + 0.0683741i 0.558044 0.829812i \(-0.311552\pi\)
−0.439616 + 0.898186i \(0.644886\pi\)
\(608\) 11.2032 0.454348
\(609\) 5.25992 22.4778i 0.213143 0.910846i
\(610\) 16.4629i 0.666563i
\(611\) 16.7584 + 11.9598i 0.677972 + 0.483842i
\(612\) −3.50554 + 2.02392i −0.141703 + 0.0818122i
\(613\) −8.42429 + 31.4399i −0.340254 + 1.26984i 0.557806 + 0.829971i \(0.311643\pi\)
−0.898060 + 0.439873i \(0.855023\pi\)
\(614\) −7.72832 4.46195i −0.311889 0.180069i
\(615\) 24.4512 0.985969
\(616\) −4.50843 + 19.2664i −0.181650 + 0.776265i
\(617\) −24.9178 24.9178i −1.00315 1.00315i −0.999995 0.00315687i \(-0.998995\pi\)
−0.00315687 0.999995i \(-0.501005\pi\)
\(618\) −4.29971 16.0468i −0.172960 0.645495i
\(619\) 4.11957 15.3745i 0.165580 0.617951i −0.832386 0.554196i \(-0.813026\pi\)
0.997966 0.0637551i \(-0.0203077\pi\)
\(620\) −3.26436 5.65404i −0.131100 0.227072i
\(621\) 7.05200 12.2144i 0.282987 0.490148i
\(622\) −16.2869 16.2869i −0.653047 0.653047i
\(623\) 6.19763 11.5728i 0.248303 0.463656i
\(624\) −26.9959 + 22.2426i −1.08070 + 0.890418i
\(625\) −15.3511 + 26.5890i −0.614046 + 1.06356i
\(626\) −7.43964 1.99345i −0.297348 0.0796741i
\(627\) 10.4094 + 18.0296i 0.415712 + 0.720034i
\(628\) −3.70427 + 6.41599i −0.147817 + 0.256026i
\(629\) −17.7497 + 17.7497i −0.707727 + 0.707727i
\(630\) 7.87209 8.39158i 0.313632 0.334329i
\(631\) −31.7103 + 31.7103i −1.26237 + 1.26237i −0.312427 + 0.949942i \(0.601142\pi\)
−0.949942 + 0.312427i \(0.898858\pi\)
\(632\) 0.609110 + 2.27323i 0.0242291 + 0.0904241i
\(633\) −4.06571 + 2.34734i −0.161598 + 0.0932984i
\(634\) 41.5015 23.9609i 1.64824 0.951610i
\(635\) −34.6280 + 9.27855i −1.37417 + 0.368208i
\(636\) −15.3824 −0.609951
\(637\) −18.4149 + 17.2595i −0.729625 + 0.683847i
\(638\) −24.9126 −0.986298
\(639\) 10.5142 2.81728i 0.415936 0.111450i
\(640\) 33.6259 19.4139i 1.32918 0.767402i
\(641\) 3.56700 2.05941i 0.140888 0.0813418i −0.427899 0.903827i \(-0.640746\pi\)
0.568787 + 0.822485i \(0.307413\pi\)
\(642\) −10.5350 39.3172i −0.415784 1.55173i
\(643\) −6.89221 + 6.89221i −0.271802 + 0.271802i −0.829825 0.558023i \(-0.811560\pi\)
0.558023 + 0.829825i \(0.311560\pi\)
\(644\) 4.21185 4.48980i 0.165970 0.176923i
\(645\) −18.0559 + 18.0559i −0.710950 + 0.710950i
\(646\) −16.0384 + 27.7793i −0.631021 + 1.09296i
\(647\) 6.39418 + 11.0750i 0.251381 + 0.435405i 0.963906 0.266242i \(-0.0857820\pi\)
−0.712525 + 0.701646i \(0.752449\pi\)
\(648\) 22.8198 + 6.11454i 0.896445 + 0.240202i
\(649\) −5.11872 + 8.86589i −0.200927 + 0.348017i
\(650\) −19.0291 1.83698i −0.746384 0.0720524i
\(651\) −8.30175 + 15.5018i −0.325371 + 0.607565i
\(652\) −4.15859 4.15859i −0.162863 0.162863i
\(653\) −7.12903 + 12.3479i −0.278981 + 0.483209i −0.971132 0.238544i \(-0.923330\pi\)
0.692151 + 0.721753i \(0.256663\pi\)
\(654\) −31.6569 54.8314i −1.23788 2.14408i
\(655\) −10.0944 + 37.6727i −0.394420 + 1.47199i
\(656\) 5.44802 + 20.3323i 0.212709 + 0.793842i
\(657\) −3.05766 3.05766i −0.119291 0.119291i
\(658\) 5.63318 24.0729i 0.219604 0.938460i
\(659\) 18.4714 0.719542 0.359771 0.933041i \(-0.382855\pi\)
0.359771 + 0.933041i \(0.382855\pi\)
\(660\) −11.5448 6.66542i −0.449383 0.259451i
\(661\) −8.46923 + 31.6076i −0.329415 + 1.22939i 0.580384 + 0.814343i \(0.302903\pi\)
−0.909799 + 0.415050i \(0.863764\pi\)
\(662\) 21.0014 12.1251i 0.816242 0.471257i
\(663\) −7.59265 45.4400i −0.294874 1.76474i
\(664\) 6.15757i 0.238960i
\(665\) 5.25973 22.4770i 0.203964 0.871621i
\(666\) 5.89703 0.228505
\(667\) −13.0880 7.55635i −0.506768 0.292583i
\(668\) 7.41104 + 1.98578i 0.286742 + 0.0768322i
\(669\) 7.01892 26.1950i 0.271367 1.01276i
\(670\) 33.1011 8.86941i 1.27881 0.342655i
\(671\) 8.56669 + 8.56669i 0.330713 + 0.330713i
\(672\) 17.0332 + 9.12186i 0.657071 + 0.351883i
\(673\) 35.6367i 1.37370i −0.726801 0.686848i \(-0.758994\pi\)
0.726801 0.686848i \(-0.241006\pi\)
\(674\) −4.03183 15.0470i −0.155300 0.579588i
\(675\) 6.65801 + 11.5320i 0.256267 + 0.443868i
\(676\) 2.86553 + 8.33532i 0.110213 + 0.320589i
\(677\) 23.9548 + 13.8303i 0.920657 + 0.531542i 0.883845 0.467781i \(-0.154946\pi\)
0.0368124 + 0.999322i \(0.488280\pi\)
\(678\) 0.000529566 0 0.000529566i 2.03379e−5 0 2.03379e-5i
\(679\) −0.383225 11.9977i −0.0147068 0.460430i
\(680\) 40.0483i 1.53578i
\(681\) 24.9532 6.68620i 0.956210 0.256216i
\(682\) 18.3303 + 4.91159i 0.701904 + 0.188075i
\(683\) 1.56039 + 0.418104i 0.0597065 + 0.0159983i 0.288549 0.957465i \(-0.406827\pi\)
−0.228842 + 0.973464i \(0.573494\pi\)
\(684\) 1.84282 0.493783i 0.0704622 0.0188803i
\(685\) 3.88034i 0.148260i
\(686\) 27.5763 + 12.5740i 1.05287 + 0.480076i
\(687\) −21.2939 + 21.2939i −0.812414 + 0.812414i
\(688\) −19.0373 10.9912i −0.725791 0.419036i
\(689\) 14.4679 38.6674i 0.551183 1.47311i
\(690\) −15.9708 27.6623i −0.607999 1.05309i
\(691\) −6.89707 25.7402i −0.262377 0.979204i −0.963836 0.266494i \(-0.914135\pi\)
0.701460 0.712709i \(-0.252532\pi\)
\(692\) 2.22161i 0.0844531i
\(693\) 0.270322 + 8.46302i 0.0102687 + 0.321484i
\(694\) −40.6506 40.6506i −1.54307 1.54307i
\(695\) 52.1802 13.9816i 1.97931 0.530354i
\(696\) 4.88553 18.2331i 0.185186 0.691122i
\(697\) −26.7793 7.17550i −1.01434 0.271792i
\(698\) −13.3234 7.69228i −0.504299 0.291157i
\(699\) −15.3255 −0.579665
\(700\) 1.68277 + 5.56327i 0.0636029 + 0.210272i
\(701\) 5.72322i 0.216163i −0.994142 0.108081i \(-0.965529\pi\)
0.994142 0.108081i \(-0.0344707\pi\)
\(702\) 14.0864 19.7382i 0.531656 0.744970i
\(703\) 10.2460 5.91552i 0.386434 0.223108i
\(704\) −3.36493 + 12.5581i −0.126821 + 0.473301i
\(705\) −28.1261 16.2386i −1.05929 0.611581i
\(706\) −20.2483 −0.762056
\(707\) 23.5480 + 5.51034i 0.885613 + 0.207238i
\(708\) 2.81308 + 2.81308i 0.105722 + 0.105722i
\(709\) −3.10307 11.5808i −0.116538 0.434927i 0.882859 0.469638i \(-0.155616\pi\)
−0.999397 + 0.0347112i \(0.988949\pi\)
\(710\) −14.2954 + 53.3513i −0.536498 + 2.00224i
\(711\) 0.503546 + 0.872167i 0.0188844 + 0.0327088i
\(712\) 5.36722 9.29630i 0.201145 0.348394i
\(713\) 8.14019 + 8.14019i 0.304853 + 0.304853i
\(714\) −47.0031 + 29.1767i −1.75905 + 1.09191i
\(715\) 27.6137 22.7516i 1.03269 0.850863i
\(716\) 0.762791 1.32119i 0.0285068 0.0493753i
\(717\) −5.71010 1.53002i −0.213248 0.0571396i
\(718\) 3.50818 + 6.07635i 0.130924 + 0.226767i
\(719\) 7.61939 13.1972i 0.284155 0.492172i −0.688249 0.725475i \(-0.741620\pi\)
0.972404 + 0.233303i \(0.0749535\pi\)
\(720\) 9.20079 9.20079i 0.342893 0.342893i
\(721\) −3.92472 12.9752i −0.146164 0.483221i
\(722\) −11.2956 + 11.2956i −0.420378 + 0.420378i
\(723\) 13.5415 + 50.5377i 0.503615 + 1.87952i
\(724\) 9.12586 5.26882i 0.339160 0.195814i
\(725\) 12.3568 7.13419i 0.458919 0.264957i
\(726\) 2.97698 0.797681i 0.110486 0.0296047i
\(727\) 19.4937 0.722981 0.361491 0.932376i \(-0.382268\pi\)
0.361491 + 0.932376i \(0.382268\pi\)
\(728\) −15.5005 + 13.6249i −0.574485 + 0.504973i
\(729\) −14.3192 −0.530339
\(730\) 21.1941 5.67895i 0.784430 0.210187i
\(731\) 25.0738 14.4763i 0.927387 0.535427i
\(732\) 4.07721 2.35398i 0.150698 0.0870056i
\(733\) 7.68254 + 28.6716i 0.283761 + 1.05901i 0.949740 + 0.313040i \(0.101348\pi\)
−0.665979 + 0.745971i \(0.731986\pi\)
\(734\) 28.6216 28.6216i 1.05644 1.05644i
\(735\) 26.2981 29.8914i 0.970021 1.10256i
\(736\) 8.94434 8.94434i 0.329693 0.329693i
\(737\) −12.6093 + 21.8399i −0.464469 + 0.804484i
\(738\) 3.25651 + 5.64045i 0.119874 + 0.207628i
\(739\) 0.811625 + 0.217474i 0.0298561 + 0.00799992i 0.273716 0.961811i \(-0.411747\pi\)
−0.243860 + 0.969810i \(0.578414\pi\)
\(740\) −3.78786 + 6.56077i −0.139245 + 0.241179i
\(741\) −2.08644 + 21.6133i −0.0766474 + 0.793983i
\(742\) −49.5517 + 1.58276i −1.81910 + 0.0581048i
\(743\) 22.5891 + 22.5891i 0.828715 + 0.828715i 0.987339 0.158624i \(-0.0507056\pi\)
−0.158624 + 0.987339i \(0.550706\pi\)
\(744\) −7.18941 + 12.4524i −0.263577 + 0.456528i
\(745\) −30.6136 53.0243i −1.12160 1.94266i
\(746\) −3.35176 + 12.5089i −0.122717 + 0.457985i
\(747\) 0.681986 + 2.54521i 0.0249526 + 0.0931242i
\(748\) 10.6880 + 10.6880i 0.390793 + 0.390793i
\(749\) −9.61623 31.7913i −0.351369 1.16163i
\(750\) −16.3805 −0.598131
\(751\) 12.9789 + 7.49334i 0.473605 + 0.273436i 0.717748 0.696303i \(-0.245173\pi\)
−0.244143 + 0.969739i \(0.578506\pi\)
\(752\) 7.23629 27.0062i 0.263880 0.984815i
\(753\) 12.1166 6.99550i 0.441552 0.254930i
\(754\) −21.1498 15.0938i −0.770231 0.549684i
\(755\) 48.4296i 1.76254i
\(756\) −7.17840 1.67978i −0.261076 0.0610930i
\(757\) −4.27355 −0.155325 −0.0776624 0.996980i \(-0.524746\pi\)
−0.0776624 + 0.996980i \(0.524746\pi\)
\(758\) −6.66191 3.84626i −0.241971 0.139702i
\(759\) 22.7051 + 6.08381i 0.824142 + 0.220828i
\(760\) 4.88536 18.2324i 0.177211 0.661359i
\(761\) −7.57885 + 2.03075i −0.274733 + 0.0736145i −0.393555 0.919301i \(-0.628755\pi\)
0.118822 + 0.992916i \(0.462088\pi\)
\(762\) −28.6333 28.6333i −1.03728 1.03728i
\(763\) −27.2467 43.8939i −0.986396 1.58907i
\(764\) 1.61227i 0.0583297i
\(765\) 4.43557 + 16.5538i 0.160369 + 0.598503i
\(766\) 7.41067 + 12.8357i 0.267758 + 0.463771i
\(767\) −9.71720 + 4.42552i −0.350868 + 0.159796i
\(768\) 25.0753 + 14.4773i 0.904828 + 0.522403i
\(769\) 5.34450 5.34450i 0.192727 0.192727i −0.604146 0.796874i \(-0.706486\pi\)
0.796874 + 0.604146i \(0.206486\pi\)
\(770\) −37.8756 20.2836i −1.36494 0.730971i
\(771\) 25.8635i 0.931450i
\(772\) 5.11231 1.36984i 0.183996 0.0493016i
\(773\) −29.4438 7.88945i −1.05902 0.283764i −0.313046 0.949738i \(-0.601349\pi\)