Properties

Label 91.2.h.b.74.1
Level $91$
Weight $2$
Character 91.74
Analytic conductor $0.727$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - x^{11} + 7 x^{10} - 2 x^{9} + 33 x^{8} - 11 x^{7} + 55 x^{6} + 17 x^{5} + 47 x^{4} + x^{3} + 8 x^{2} + x + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 74.1
Root \(-0.181721 + 0.314749i\) of defining polynomial
Character \(\chi\) \(=\) 91.74
Dual form 91.2.h.b.16.1

$q$-expansion

\(f(q)\) \(=\) \(q-2.38804 q^{2} +(1.37574 + 2.38285i) q^{3} +3.70272 q^{4} +(-0.491140 - 0.850679i) q^{5} +(-3.28532 - 5.69033i) q^{6} +(-0.911766 + 2.48368i) q^{7} -4.06616 q^{8} +(-2.28532 + 3.95828i) q^{9} +O(q^{10})\) \(q-2.38804 q^{2} +(1.37574 + 2.38285i) q^{3} +3.70272 q^{4} +(-0.491140 - 0.850679i) q^{5} +(-3.28532 - 5.69033i) q^{6} +(-0.911766 + 2.48368i) q^{7} -4.06616 q^{8} +(-2.28532 + 3.95828i) q^{9} +(1.17286 + 2.03145i) q^{10} +(0.293901 + 0.509052i) q^{11} +(5.09398 + 8.82303i) q^{12} +(2.39227 + 2.69760i) q^{13} +(2.17733 - 5.93113i) q^{14} +(1.35136 - 2.34063i) q^{15} +2.30470 q^{16} -6.45420 q^{17} +(5.45742 - 9.45253i) q^{18} +(1.91345 - 3.31419i) q^{19} +(-1.81855 - 3.14983i) q^{20} +(-7.17260 + 1.24430i) q^{21} +(-0.701847 - 1.21563i) q^{22} +8.26001 q^{23} +(-5.59398 - 9.68906i) q^{24} +(2.01756 - 3.49452i) q^{25} +(-5.71283 - 6.44197i) q^{26} -4.32156 q^{27} +(-3.37601 + 9.19639i) q^{28} +(1.98009 - 3.42962i) q^{29} +(-3.22710 + 5.58950i) q^{30} +(1.49436 - 2.58831i) q^{31} +2.62861 q^{32} +(-0.808663 + 1.40065i) q^{33} +15.4129 q^{34} +(2.56062 - 0.444216i) q^{35} +(-8.46189 + 14.6564i) q^{36} +1.75588 q^{37} +(-4.56938 + 7.91440i) q^{38} +(-3.13683 + 9.41161i) q^{39} +(1.99705 + 3.45900i) q^{40} +(-1.83584 + 3.17977i) q^{41} +(17.1284 - 2.97143i) q^{42} +(-3.19042 - 5.52598i) q^{43} +(1.08823 + 1.88488i) q^{44} +4.48964 q^{45} -19.7252 q^{46} +(2.17030 + 3.75906i) q^{47} +(3.17067 + 5.49176i) q^{48} +(-5.33737 - 4.52907i) q^{49} +(-4.81802 + 8.34505i) q^{50} +(-8.87930 - 15.3794i) q^{51} +(8.85791 + 9.98846i) q^{52} +(-0.212770 + 0.368529i) q^{53} +10.3200 q^{54} +(0.288693 - 0.500031i) q^{55} +(3.70739 - 10.0991i) q^{56} +10.5296 q^{57} +(-4.72853 + 8.19006i) q^{58} +6.00863 q^{59} +(5.00371 - 8.66669i) q^{60} +(-1.10337 + 1.91109i) q^{61} +(-3.56859 + 6.18097i) q^{62} +(-7.74745 - 9.28503i) q^{63} -10.8866 q^{64} +(1.11985 - 3.35995i) q^{65} +(1.93112 - 3.34479i) q^{66} +(-3.50651 - 6.07346i) q^{67} -23.8981 q^{68} +(11.3636 + 19.6824i) q^{69} +(-6.11486 + 1.06080i) q^{70} +(-1.80127 - 3.11988i) q^{71} +(9.29247 - 16.0950i) q^{72} +(-2.46714 + 4.27321i) q^{73} -4.19311 q^{74} +11.1026 q^{75} +(7.08496 - 12.2715i) q^{76} +(-1.53229 + 0.265822i) q^{77} +(7.49088 - 22.4753i) q^{78} +(-1.39270 - 2.41223i) q^{79} +(-1.13193 - 1.96056i) q^{80} +(0.910609 + 1.57722i) q^{81} +(4.38406 - 7.59342i) q^{82} -2.86819 q^{83} +(-26.5581 + 4.60730i) q^{84} +(3.16992 + 5.49045i) q^{85} +(7.61885 + 13.1962i) q^{86} +10.8964 q^{87} +(-1.19505 - 2.06989i) q^{88} -2.09311 q^{89} -10.7214 q^{90} +(-8.88117 + 3.48206i) q^{91} +30.5845 q^{92} +8.22340 q^{93} +(-5.18275 - 8.97679i) q^{94} -3.75908 q^{95} +(3.61628 + 6.26357i) q^{96} +(-3.84852 - 6.66584i) q^{97} +(12.7458 + 10.8156i) q^{98} -2.68663 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 4q^{2} + q^{3} + 8q^{4} + q^{5} - 9q^{6} - 3q^{7} - 6q^{8} + 3q^{9} + O(q^{10}) \) \( 12q - 4q^{2} + q^{3} + 8q^{4} + q^{5} - 9q^{6} - 3q^{7} - 6q^{8} + 3q^{9} + 4q^{10} + 4q^{11} + 5q^{12} - 2q^{13} - 2q^{14} - 2q^{15} - 16q^{16} - 10q^{17} + 3q^{18} - q^{19} - q^{20} - 9q^{21} - 5q^{22} + 2q^{23} - 11q^{24} + 7q^{25} - 16q^{26} - 8q^{27} - q^{28} + 3q^{29} - 5q^{30} + 16q^{31} - 16q^{32} + 16q^{33} + 32q^{34} + 20q^{35} - 21q^{36} + 26q^{37} - 17q^{38} - 20q^{39} - 5q^{40} - 8q^{41} + 50q^{42} - 11q^{43} + 21q^{44} + 14q^{45} - 32q^{46} - q^{47} + 21q^{48} - 3q^{49} + 6q^{50} - 20q^{51} + 41q^{52} - 2q^{53} + 36q^{54} + 9q^{55} + 9q^{56} + 42q^{57} - 8q^{58} - 26q^{59} + 20q^{60} - 5q^{61} + 5q^{62} - 40q^{63} - 30q^{64} - 5q^{65} + 18q^{66} - 11q^{67} - 58q^{68} + 23q^{69} - 39q^{70} + 6q^{71} + 25q^{72} - 30q^{73} + 6q^{74} + 6q^{75} - 9q^{76} + 11q^{77} + 16q^{78} + 7q^{79} - 7q^{80} - 6q^{81} + q^{82} - 54q^{83} - 46q^{84} - q^{85} - 7q^{86} - 32q^{87} - 8q^{89} - 16q^{90} - 23q^{91} + 54q^{92} + 14q^{93} + 45q^{94} + 12q^{95} + 19q^{96} - 35q^{97} + 20q^{98} - 20q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.38804 −1.68860 −0.844299 0.535873i \(-0.819983\pi\)
−0.844299 + 0.535873i \(0.819983\pi\)
\(3\) 1.37574 + 2.38285i 0.794283 + 1.37574i 0.923293 + 0.384096i \(0.125487\pi\)
−0.129010 + 0.991643i \(0.541180\pi\)
\(4\) 3.70272 1.85136
\(5\) −0.491140 0.850679i −0.219644 0.380435i 0.735055 0.678008i \(-0.237156\pi\)
−0.954699 + 0.297572i \(0.903823\pi\)
\(6\) −3.28532 5.69033i −1.34122 2.32307i
\(7\) −0.911766 + 2.48368i −0.344615 + 0.938744i
\(8\) −4.06616 −1.43761
\(9\) −2.28532 + 3.95828i −0.761772 + 1.31943i
\(10\) 1.17286 + 2.03145i 0.370891 + 0.642402i
\(11\) 0.293901 + 0.509052i 0.0886146 + 0.153485i 0.906926 0.421291i \(-0.138423\pi\)
−0.818311 + 0.574775i \(0.805089\pi\)
\(12\) 5.09398 + 8.82303i 1.47051 + 2.54699i
\(13\) 2.39227 + 2.69760i 0.663496 + 0.748179i
\(14\) 2.17733 5.93113i 0.581916 1.58516i
\(15\) 1.35136 2.34063i 0.348920 0.604347i
\(16\) 2.30470 0.576176
\(17\) −6.45420 −1.56537 −0.782687 0.622416i \(-0.786151\pi\)
−0.782687 + 0.622416i \(0.786151\pi\)
\(18\) 5.45742 9.45253i 1.28633 2.22798i
\(19\) 1.91345 3.31419i 0.438975 0.760327i −0.558636 0.829413i \(-0.688675\pi\)
0.997611 + 0.0690863i \(0.0220084\pi\)
\(20\) −1.81855 3.14983i −0.406641 0.704323i
\(21\) −7.17260 + 1.24430i −1.56519 + 0.271528i
\(22\) −0.701847 1.21563i −0.149634 0.259174i
\(23\) 8.26001 1.72233 0.861166 0.508324i \(-0.169735\pi\)
0.861166 + 0.508324i \(0.169735\pi\)
\(24\) −5.59398 9.68906i −1.14187 1.97777i
\(25\) 2.01756 3.49452i 0.403513 0.698904i
\(26\) −5.71283 6.44197i −1.12038 1.26337i
\(27\) −4.32156 −0.831685
\(28\) −3.37601 + 9.19639i −0.638007 + 1.73795i
\(29\) 1.98009 3.42962i 0.367694 0.636864i −0.621511 0.783406i \(-0.713481\pi\)
0.989205 + 0.146541i \(0.0468141\pi\)
\(30\) −3.22710 + 5.58950i −0.589185 + 1.02050i
\(31\) 1.49436 2.58831i 0.268395 0.464874i −0.700053 0.714091i \(-0.746840\pi\)
0.968448 + 0.249218i \(0.0801734\pi\)
\(32\) 2.62861 0.464676
\(33\) −0.808663 + 1.40065i −0.140770 + 0.243821i
\(34\) 15.4129 2.64329
\(35\) 2.56062 0.444216i 0.432824 0.0750862i
\(36\) −8.46189 + 14.6564i −1.41031 + 2.44274i
\(37\) 1.75588 0.288665 0.144333 0.989529i \(-0.453896\pi\)
0.144333 + 0.989529i \(0.453896\pi\)
\(38\) −4.56938 + 7.91440i −0.741252 + 1.28389i
\(39\) −3.13683 + 9.41161i −0.502295 + 1.50706i
\(40\) 1.99705 + 3.45900i 0.315762 + 0.546916i
\(41\) −1.83584 + 3.17977i −0.286710 + 0.496597i −0.973023 0.230710i \(-0.925895\pi\)
0.686312 + 0.727307i \(0.259228\pi\)
\(42\) 17.1284 2.97143i 2.64297 0.458502i
\(43\) −3.19042 5.52598i −0.486535 0.842703i 0.513345 0.858182i \(-0.328406\pi\)
−0.999880 + 0.0154788i \(0.995073\pi\)
\(44\) 1.08823 + 1.88488i 0.164058 + 0.284156i
\(45\) 4.48964 0.669276
\(46\) −19.7252 −2.90832
\(47\) 2.17030 + 3.75906i 0.316570 + 0.548316i 0.979770 0.200127i \(-0.0641353\pi\)
−0.663200 + 0.748442i \(0.730802\pi\)
\(48\) 3.17067 + 5.49176i 0.457647 + 0.792668i
\(49\) −5.33737 4.52907i −0.762481 0.647011i
\(50\) −4.81802 + 8.34505i −0.681370 + 1.18017i
\(51\) −8.87930 15.3794i −1.24335 2.15355i
\(52\) 8.85791 + 9.98846i 1.22837 + 1.38515i
\(53\) −0.212770 + 0.368529i −0.0292263 + 0.0506214i −0.880269 0.474476i \(-0.842638\pi\)
0.851042 + 0.525097i \(0.175971\pi\)
\(54\) 10.3200 1.40438
\(55\) 0.288693 0.500031i 0.0389274 0.0674242i
\(56\) 3.70739 10.0991i 0.495420 1.34954i
\(57\) 10.5296 1.39468
\(58\) −4.72853 + 8.19006i −0.620887 + 1.07541i
\(59\) 6.00863 0.782256 0.391128 0.920336i \(-0.372085\pi\)
0.391128 + 0.920336i \(0.372085\pi\)
\(60\) 5.00371 8.66669i 0.645977 1.11886i
\(61\) −1.10337 + 1.91109i −0.141272 + 0.244691i −0.927976 0.372640i \(-0.878453\pi\)
0.786704 + 0.617331i \(0.211786\pi\)
\(62\) −3.56859 + 6.18097i −0.453211 + 0.784985i
\(63\) −7.74745 9.28503i −0.976087 1.16980i
\(64\) −10.8866 −1.36083
\(65\) 1.11985 3.35995i 0.138901 0.416751i
\(66\) 1.93112 3.34479i 0.237704 0.411716i
\(67\) −3.50651 6.07346i −0.428389 0.741991i 0.568341 0.822793i \(-0.307585\pi\)
−0.996730 + 0.0808015i \(0.974252\pi\)
\(68\) −23.8981 −2.89807
\(69\) 11.3636 + 19.6824i 1.36802 + 2.36948i
\(70\) −6.11486 + 1.06080i −0.730866 + 0.126790i
\(71\) −1.80127 3.11988i −0.213771 0.370262i 0.739121 0.673573i \(-0.235241\pi\)
−0.952892 + 0.303311i \(0.901908\pi\)
\(72\) 9.29247 16.0950i 1.09513 1.89682i
\(73\) −2.46714 + 4.27321i −0.288756 + 0.500141i −0.973513 0.228631i \(-0.926575\pi\)
0.684757 + 0.728772i \(0.259908\pi\)
\(74\) −4.19311 −0.487439
\(75\) 11.1026 1.28201
\(76\) 7.08496 12.2715i 0.812701 1.40764i
\(77\) −1.53229 + 0.265822i −0.174621 + 0.0302932i
\(78\) 7.49088 22.4753i 0.848175 2.54483i
\(79\) −1.39270 2.41223i −0.156691 0.271397i 0.776982 0.629522i \(-0.216749\pi\)
−0.933674 + 0.358125i \(0.883416\pi\)
\(80\) −1.13193 1.96056i −0.126554 0.219198i
\(81\) 0.910609 + 1.57722i 0.101179 + 0.175247i
\(82\) 4.38406 7.59342i 0.484138 0.838552i
\(83\) −2.86819 −0.314825 −0.157412 0.987533i \(-0.550315\pi\)
−0.157412 + 0.987533i \(0.550315\pi\)
\(84\) −26.5581 + 4.60730i −2.89773 + 0.502697i
\(85\) 3.16992 + 5.49045i 0.343826 + 0.595523i
\(86\) 7.61885 + 13.1962i 0.821562 + 1.42299i
\(87\) 10.8964 1.16821
\(88\) −1.19505 2.06989i −0.127393 0.220651i
\(89\) −2.09311 −0.221870 −0.110935 0.993828i \(-0.535384\pi\)
−0.110935 + 0.993828i \(0.535384\pi\)
\(90\) −10.7214 −1.13014
\(91\) −8.88117 + 3.48206i −0.931000 + 0.365020i
\(92\) 30.5845 3.18866
\(93\) 8.22340 0.852727
\(94\) −5.18275 8.97679i −0.534560 0.925885i
\(95\) −3.75908 −0.385674
\(96\) 3.61628 + 6.26357i 0.369085 + 0.639273i
\(97\) −3.84852 6.66584i −0.390758 0.676813i 0.601791 0.798653i \(-0.294454\pi\)
−0.992550 + 0.121840i \(0.961120\pi\)
\(98\) 12.7458 + 10.8156i 1.28752 + 1.09254i
\(99\) −2.68663 −0.270016
\(100\) 7.47047 12.9392i 0.747047 1.29392i
\(101\) 1.31866 + 2.28399i 0.131212 + 0.227265i 0.924144 0.382045i \(-0.124780\pi\)
−0.792932 + 0.609310i \(0.791447\pi\)
\(102\) 21.2041 + 36.7266i 2.09952 + 3.63647i
\(103\) 5.43095 + 9.40669i 0.535128 + 0.926868i 0.999157 + 0.0410486i \(0.0130699\pi\)
−0.464029 + 0.885820i \(0.653597\pi\)
\(104\) −9.72736 10.9689i −0.953846 1.07559i
\(105\) 4.58125 + 5.49045i 0.447084 + 0.535813i
\(106\) 0.508103 0.880061i 0.0493514 0.0854791i
\(107\) −15.9805 −1.54489 −0.772446 0.635080i \(-0.780967\pi\)
−0.772446 + 0.635080i \(0.780967\pi\)
\(108\) −16.0015 −1.53975
\(109\) −4.61738 + 7.99754i −0.442265 + 0.766026i −0.997857 0.0654294i \(-0.979158\pi\)
0.555592 + 0.831455i \(0.312492\pi\)
\(110\) −0.689410 + 1.19409i −0.0657327 + 0.113852i
\(111\) 2.41564 + 4.18400i 0.229282 + 0.397128i
\(112\) −2.10135 + 5.72416i −0.198559 + 0.540882i
\(113\) −5.09012 8.81635i −0.478838 0.829372i 0.520867 0.853638i \(-0.325609\pi\)
−0.999706 + 0.0242655i \(0.992275\pi\)
\(114\) −25.1451 −2.35506
\(115\) −4.05682 7.02662i −0.378301 0.655236i
\(116\) 7.33173 12.6989i 0.680734 1.17907i
\(117\) −16.1450 + 3.30442i −1.49260 + 0.305494i
\(118\) −14.3488 −1.32092
\(119\) 5.88472 16.0302i 0.539451 1.46949i
\(120\) −5.49485 + 9.51736i −0.501609 + 0.868813i
\(121\) 5.32724 9.22706i 0.484295 0.838823i
\(122\) 2.63489 4.56376i 0.238552 0.413184i
\(123\) −10.1026 −0.910917
\(124\) 5.53320 9.58378i 0.496896 0.860649i
\(125\) −8.87502 −0.793806
\(126\) 18.5012 + 22.1730i 1.64822 + 1.97533i
\(127\) −2.12513 + 3.68083i −0.188575 + 0.326621i −0.944775 0.327719i \(-0.893720\pi\)
0.756201 + 0.654340i \(0.227053\pi\)
\(128\) 20.7404 1.83321
\(129\) 8.77838 15.2046i 0.772893 1.33869i
\(130\) −2.67425 + 8.02369i −0.234547 + 0.703725i
\(131\) 1.08478 + 1.87890i 0.0947779 + 0.164160i 0.909516 0.415669i \(-0.136453\pi\)
−0.814738 + 0.579829i \(0.803119\pi\)
\(132\) −2.99425 + 5.18620i −0.260616 + 0.451401i
\(133\) 6.48678 + 7.77416i 0.562475 + 0.674105i
\(134\) 8.37369 + 14.5037i 0.723376 + 1.25292i
\(135\) 2.12249 + 3.67626i 0.182675 + 0.316402i
\(136\) 26.2438 2.25039
\(137\) 8.36316 0.714513 0.357257 0.934006i \(-0.383712\pi\)
0.357257 + 0.934006i \(0.383712\pi\)
\(138\) −27.1367 47.0022i −2.31003 4.00110i
\(139\) 0.288457 + 0.499622i 0.0244666 + 0.0423774i 0.877999 0.478662i \(-0.158878\pi\)
−0.853533 + 0.521039i \(0.825545\pi\)
\(140\) 9.48127 1.64481i 0.801314 0.139012i
\(141\) −5.97152 + 10.3430i −0.502893 + 0.871036i
\(142\) 4.30149 + 7.45040i 0.360973 + 0.625224i
\(143\) −0.670127 + 2.01062i −0.0560388 + 0.168136i
\(144\) −5.26698 + 9.12267i −0.438915 + 0.760223i
\(145\) −3.89001 −0.323048
\(146\) 5.89161 10.2046i 0.487593 0.844537i
\(147\) 3.44928 18.9490i 0.284492 1.56288i
\(148\) 6.50154 0.534423
\(149\) −1.40331 + 2.43061i −0.114964 + 0.199123i −0.917765 0.397123i \(-0.870009\pi\)
0.802801 + 0.596246i \(0.203342\pi\)
\(150\) −26.5133 −2.16480
\(151\) 11.5054 19.9280i 0.936300 1.62172i 0.164000 0.986460i \(-0.447560\pi\)
0.772300 0.635258i \(-0.219106\pi\)
\(152\) −7.78039 + 13.4760i −0.631073 + 1.09305i
\(153\) 14.7499 25.5476i 1.19246 2.06540i
\(154\) 3.65917 0.634792i 0.294864 0.0511530i
\(155\) −2.93576 −0.235806
\(156\) −11.6148 + 34.8486i −0.929930 + 2.79012i
\(157\) −11.2880 + 19.5513i −0.900879 + 1.56037i −0.0745227 + 0.997219i \(0.523743\pi\)
−0.826356 + 0.563148i \(0.809590\pi\)
\(158\) 3.32583 + 5.76050i 0.264588 + 0.458281i
\(159\) −1.17087 −0.0928557
\(160\) −1.29101 2.23610i −0.102064 0.176779i
\(161\) −7.53119 + 20.5153i −0.593541 + 1.61683i
\(162\) −2.17457 3.76646i −0.170850 0.295921i
\(163\) −4.08857 + 7.08161i −0.320242 + 0.554675i −0.980538 0.196331i \(-0.937097\pi\)
0.660296 + 0.751005i \(0.270431\pi\)
\(164\) −6.79761 + 11.7738i −0.530804 + 0.919380i
\(165\) 1.58867 0.123678
\(166\) 6.84934 0.531612
\(167\) 1.16386 2.01586i 0.0900619 0.155992i −0.817475 0.575964i \(-0.804627\pi\)
0.907537 + 0.419972i \(0.137960\pi\)
\(168\) 29.1649 5.05953i 2.25012 0.390351i
\(169\) −1.55408 + 12.9068i −0.119545 + 0.992829i
\(170\) −7.56988 13.1114i −0.580583 1.00560i
\(171\) 8.74566 + 15.1479i 0.668798 + 1.15839i
\(172\) −11.8133 20.4611i −0.900752 1.56015i
\(173\) 4.06686 7.04401i 0.309198 0.535546i −0.668989 0.743272i \(-0.733273\pi\)
0.978187 + 0.207726i \(0.0666061\pi\)
\(174\) −26.0209 −1.97264
\(175\) 6.83974 + 8.19717i 0.517036 + 0.619648i
\(176\) 0.677355 + 1.17321i 0.0510576 + 0.0884343i
\(177\) 8.26630 + 14.3177i 0.621333 + 1.07618i
\(178\) 4.99843 0.374648
\(179\) 10.4963 + 18.1801i 0.784528 + 1.35884i 0.929281 + 0.369375i \(0.120428\pi\)
−0.144752 + 0.989468i \(0.546239\pi\)
\(180\) 16.6239 1.23907
\(181\) −1.60807 −0.119527 −0.0597635 0.998213i \(-0.519035\pi\)
−0.0597635 + 0.998213i \(0.519035\pi\)
\(182\) 21.2086 8.31530i 1.57208 0.616371i
\(183\) −6.07180 −0.448841
\(184\) −33.5865 −2.47603
\(185\) −0.862384 1.49369i −0.0634037 0.109818i
\(186\) −19.6378 −1.43991
\(187\) −1.89690 3.28552i −0.138715 0.240261i
\(188\) 8.03601 + 13.9188i 0.586086 + 1.01513i
\(189\) 3.94025 10.7334i 0.286611 0.780739i
\(190\) 8.97683 0.651247
\(191\) 5.78111 10.0132i 0.418307 0.724529i −0.577463 0.816417i \(-0.695957\pi\)
0.995769 + 0.0918886i \(0.0292904\pi\)
\(192\) −14.9771 25.9412i −1.08088 1.87214i
\(193\) −11.7894 20.4199i −0.848621 1.46985i −0.882439 0.470427i \(-0.844100\pi\)
0.0338178 0.999428i \(-0.489233\pi\)
\(194\) 9.19041 + 15.9183i 0.659833 + 1.14286i
\(195\) 9.54689 1.95398i 0.683667 0.139927i
\(196\) −19.7628 16.7699i −1.41163 1.19785i
\(197\) 0.735472 1.27387i 0.0524002 0.0907598i −0.838636 0.544693i \(-0.816646\pi\)
0.891036 + 0.453933i \(0.149980\pi\)
\(198\) 6.41577 0.455949
\(199\) 9.39399 0.665922 0.332961 0.942941i \(-0.391952\pi\)
0.332961 + 0.942941i \(0.391952\pi\)
\(200\) −8.20374 + 14.2093i −0.580092 + 1.00475i
\(201\) 9.64810 16.7110i 0.680524 1.17870i
\(202\) −3.14901 5.45425i −0.221564 0.383760i
\(203\) 6.71271 + 8.04493i 0.471140 + 0.564643i
\(204\) −32.8776 56.9456i −2.30189 3.98699i
\(205\) 3.60662 0.251897
\(206\) −12.9693 22.4635i −0.903615 1.56511i
\(207\) −18.8767 + 32.6955i −1.31202 + 2.27249i
\(208\) 5.51348 + 6.21717i 0.382291 + 0.431083i
\(209\) 2.24946 0.155598
\(210\) −10.9402 13.1114i −0.754945 0.904773i
\(211\) 4.47109 7.74416i 0.307803 0.533130i −0.670079 0.742290i \(-0.733740\pi\)
0.977881 + 0.209160i \(0.0670730\pi\)
\(212\) −0.787829 + 1.36456i −0.0541083 + 0.0937184i
\(213\) 4.95615 8.58430i 0.339589 0.588186i
\(214\) 38.1620 2.60870
\(215\) −3.13389 + 5.42805i −0.213729 + 0.370190i
\(216\) 17.5722 1.19563
\(217\) 5.06603 + 6.07145i 0.343905 + 0.412157i
\(218\) 11.0265 19.0984i 0.746808 1.29351i
\(219\) −13.5765 −0.917418
\(220\) 1.06895 1.85148i 0.0720686 0.124827i
\(221\) −15.4402 17.4108i −1.03862 1.17118i
\(222\) −5.76863 9.99156i −0.387165 0.670589i
\(223\) −10.9098 + 18.8963i −0.730574 + 1.26539i 0.226064 + 0.974112i \(0.427414\pi\)
−0.956638 + 0.291279i \(0.905919\pi\)
\(224\) −2.39667 + 6.52862i −0.160134 + 0.436212i
\(225\) 9.22154 + 15.9722i 0.614769 + 1.06481i
\(226\) 12.1554 + 21.0538i 0.808565 + 1.40048i
\(227\) −18.5525 −1.23137 −0.615687 0.787990i \(-0.711122\pi\)
−0.615687 + 0.787990i \(0.711122\pi\)
\(228\) 38.9882 2.58206
\(229\) −9.67525 16.7580i −0.639359 1.10740i −0.985574 0.169247i \(-0.945867\pi\)
0.346215 0.938155i \(-0.387467\pi\)
\(230\) 9.68784 + 16.7798i 0.638797 + 1.10643i
\(231\) −2.74145 3.28552i −0.180374 0.216172i
\(232\) −8.05137 + 13.9454i −0.528599 + 0.915560i
\(233\) −8.08170 13.9979i −0.529450 0.917034i −0.999410 0.0343462i \(-0.989065\pi\)
0.469960 0.882688i \(-0.344268\pi\)
\(234\) 38.5548 7.89108i 2.52040 0.515856i
\(235\) 2.13184 3.69245i 0.139066 0.240869i
\(236\) 22.2483 1.44824
\(237\) 3.83199 6.63720i 0.248915 0.431133i
\(238\) −14.0529 + 38.2807i −0.910916 + 2.48137i
\(239\) 16.1037 1.04166 0.520831 0.853660i \(-0.325622\pi\)
0.520831 + 0.853660i \(0.325622\pi\)
\(240\) 3.11449 5.39445i 0.201039 0.348210i
\(241\) −4.00600 −0.258049 −0.129025 0.991641i \(-0.541185\pi\)
−0.129025 + 0.991641i \(0.541185\pi\)
\(242\) −12.7217 + 22.0346i −0.817779 + 1.41643i
\(243\) −8.98786 + 15.5674i −0.576572 + 0.998651i
\(244\) −4.08548 + 7.07625i −0.261546 + 0.453011i
\(245\) −1.23140 + 6.76480i −0.0786710 + 0.432187i
\(246\) 24.1253 1.53817
\(247\) 13.5178 2.76672i 0.860119 0.176042i
\(248\) −6.07631 + 10.5245i −0.385846 + 0.668305i
\(249\) −3.94588 6.83446i −0.250060 0.433116i
\(250\) 21.1939 1.34042
\(251\) −1.62344 2.81188i −0.102471 0.177484i 0.810231 0.586110i \(-0.199341\pi\)
−0.912702 + 0.408626i \(0.866008\pi\)
\(252\) −28.6867 34.3799i −1.80709 2.16573i
\(253\) 2.42763 + 4.20477i 0.152624 + 0.264352i
\(254\) 5.07489 8.78996i 0.318427 0.551531i
\(255\) −8.72195 + 15.1069i −0.546190 + 0.946029i
\(256\) −27.7557 −1.73473
\(257\) −26.8924 −1.67750 −0.838751 0.544516i \(-0.816713\pi\)
−0.838751 + 0.544516i \(0.816713\pi\)
\(258\) −20.9631 + 36.3092i −1.30511 + 2.26051i
\(259\) −1.60095 + 4.36106i −0.0994784 + 0.270983i
\(260\) 4.14650 12.4410i 0.257155 0.771556i
\(261\) 9.05027 + 15.6755i 0.560198 + 0.970291i
\(262\) −2.59050 4.48688i −0.160042 0.277200i
\(263\) 1.90353 + 3.29701i 0.117377 + 0.203302i 0.918727 0.394893i \(-0.129218\pi\)
−0.801351 + 0.598195i \(0.795885\pi\)
\(264\) 3.28815 5.69525i 0.202372 0.350518i
\(265\) 0.418000 0.0256775
\(266\) −15.4907 18.5650i −0.949794 1.13829i
\(267\) −2.87958 4.98757i −0.176227 0.305235i
\(268\) −12.9836 22.4883i −0.793102 1.37369i
\(269\) −23.8381 −1.45343 −0.726716 0.686938i \(-0.758954\pi\)
−0.726716 + 0.686938i \(0.758954\pi\)
\(270\) −5.06859 8.77905i −0.308464 0.534276i
\(271\) 9.90135 0.601464 0.300732 0.953709i \(-0.402769\pi\)
0.300732 + 0.953709i \(0.402769\pi\)
\(272\) −14.8750 −0.901931
\(273\) −20.5154 16.3721i −1.24165 0.990884i
\(274\) −19.9715 −1.20653
\(275\) 2.37186 0.143028
\(276\) 42.0763 + 72.8783i 2.53270 + 4.38676i
\(277\) 11.7858 0.708139 0.354069 0.935219i \(-0.384798\pi\)
0.354069 + 0.935219i \(0.384798\pi\)
\(278\) −0.688846 1.19312i −0.0413142 0.0715584i
\(279\) 6.83017 + 11.8302i 0.408912 + 0.708256i
\(280\) −10.4119 + 1.80625i −0.622231 + 0.107944i
\(281\) 12.9976 0.775372 0.387686 0.921791i \(-0.373274\pi\)
0.387686 + 0.921791i \(0.373274\pi\)
\(282\) 14.2602 24.6994i 0.849184 1.47083i
\(283\) 8.40249 + 14.5535i 0.499476 + 0.865118i 1.00000 0.000604910i \(-0.000192549\pi\)
−0.500524 + 0.865723i \(0.666859\pi\)
\(284\) −6.66959 11.5521i −0.395767 0.685489i
\(285\) −5.17151 8.95733i −0.306334 0.530586i
\(286\) 1.60029 4.80143i 0.0946270 0.283914i
\(287\) −6.22369 7.45886i −0.367373 0.440283i
\(288\) −6.00719 + 10.4048i −0.353977 + 0.613107i
\(289\) 24.6567 1.45039
\(290\) 9.28948 0.545497
\(291\) 10.5891 18.3409i 0.620746 1.07516i
\(292\) −9.13512 + 15.8225i −0.534592 + 0.925941i
\(293\) 7.04782 + 12.2072i 0.411738 + 0.713151i 0.995080 0.0990757i \(-0.0315886\pi\)
−0.583342 + 0.812227i \(0.698255\pi\)
\(294\) −8.23701 + 45.2508i −0.480392 + 2.63908i
\(295\) −2.95108 5.11141i −0.171818 0.297598i
\(296\) −7.13970 −0.414987
\(297\) −1.27011 2.19990i −0.0736994 0.127651i
\(298\) 3.35116 5.80438i 0.194128 0.336239i
\(299\) 19.7602 + 22.2822i 1.14276 + 1.28861i
\(300\) 41.1097 2.37347
\(301\) 16.6337 2.88561i 0.958750 0.166324i
\(302\) −27.4754 + 47.5888i −1.58103 + 2.73843i
\(303\) −3.62827 + 6.28434i −0.208439 + 0.361026i
\(304\) 4.40993 7.63822i 0.252927 0.438082i
\(305\) 2.16764 0.124119
\(306\) −35.2233 + 61.0085i −2.01358 + 3.48762i
\(307\) 15.8786 0.906240 0.453120 0.891450i \(-0.350311\pi\)
0.453120 + 0.891450i \(0.350311\pi\)
\(308\) −5.67365 + 0.984264i −0.323286 + 0.0560836i
\(309\) −14.9431 + 25.8823i −0.850086 + 1.47239i
\(310\) 7.01070 0.398181
\(311\) 14.3017 24.7713i 0.810975 1.40465i −0.101208 0.994865i \(-0.532271\pi\)
0.912183 0.409784i \(-0.134396\pi\)
\(312\) 12.7549 38.2692i 0.722103 2.16656i
\(313\) 9.28962 + 16.0901i 0.525080 + 0.909465i 0.999573 + 0.0292063i \(0.00929798\pi\)
−0.474493 + 0.880259i \(0.657369\pi\)
\(314\) 26.9561 46.6893i 1.52122 2.63483i
\(315\) −4.09350 + 11.1508i −0.230643 + 0.628279i
\(316\) −5.15679 8.93182i −0.290092 0.502454i
\(317\) −15.3223 26.5389i −0.860584 1.49057i −0.871366 0.490633i \(-0.836766\pi\)
0.0107826 0.999942i \(-0.496568\pi\)
\(318\) 2.79607 0.156796
\(319\) 2.32781 0.130332
\(320\) 5.34685 + 9.26102i 0.298898 + 0.517707i
\(321\) −21.9850 38.0791i −1.22708 2.12537i
\(322\) 17.9848 48.9912i 1.00225 2.73017i
\(323\) −12.3498 + 21.3904i −0.687160 + 1.19020i
\(324\) 3.37173 + 5.84001i 0.187318 + 0.324445i
\(325\) 14.2534 2.91727i 0.790635 0.161821i
\(326\) 9.76366 16.9112i 0.540759 0.936622i
\(327\) −25.4093 −1.40514
\(328\) 7.46483 12.9295i 0.412177 0.713911i
\(329\) −11.3151 + 1.96295i −0.623823 + 0.108221i
\(330\) −3.79379 −0.208842
\(331\) −13.6138 + 23.5799i −0.748284 + 1.29607i 0.200360 + 0.979722i \(0.435789\pi\)
−0.948644 + 0.316344i \(0.897545\pi\)
\(332\) −10.6201 −0.582854
\(333\) −4.01275 + 6.95028i −0.219897 + 0.380873i
\(334\) −2.77933 + 4.81395i −0.152078 + 0.263407i
\(335\) −3.44438 + 5.96584i −0.188187 + 0.325949i
\(336\) −16.5307 + 2.86774i −0.901824 + 0.156448i
\(337\) −12.3160 −0.670898 −0.335449 0.942058i \(-0.608888\pi\)
−0.335449 + 0.942058i \(0.608888\pi\)
\(338\) 3.71121 30.8219i 0.201863 1.67649i
\(339\) 14.0054 24.2580i 0.760666 1.31751i
\(340\) 11.7373 + 20.3296i 0.636545 + 1.10253i
\(341\) 1.75678 0.0951348
\(342\) −20.8850 36.1738i −1.12933 1.95606i
\(343\) 16.1152 9.12688i 0.870140 0.492805i
\(344\) 12.9728 + 22.4695i 0.699445 + 1.21148i
\(345\) 11.1623 19.3336i 0.600956 1.04089i
\(346\) −9.71182 + 16.8214i −0.522111 + 0.904322i
\(347\) 6.14506 0.329884 0.164942 0.986303i \(-0.447256\pi\)
0.164942 + 0.986303i \(0.447256\pi\)
\(348\) 40.3462 2.16278
\(349\) −6.51563 + 11.2854i −0.348774 + 0.604094i −0.986032 0.166557i \(-0.946735\pi\)
0.637258 + 0.770650i \(0.280068\pi\)
\(350\) −16.3336 19.5752i −0.873065 1.04634i
\(351\) −10.3383 11.6578i −0.551820 0.622249i
\(352\) 0.772550 + 1.33810i 0.0411771 + 0.0713208i
\(353\) −15.8332 27.4240i −0.842718 1.45963i −0.887589 0.460637i \(-0.847621\pi\)
0.0448710 0.998993i \(-0.485712\pi\)
\(354\) −19.7402 34.1911i −1.04918 1.81724i
\(355\) −1.76935 + 3.06460i −0.0939072 + 0.162652i
\(356\) −7.75021 −0.410761
\(357\) 46.2934 8.03096i 2.45011 0.425043i
\(358\) −25.0655 43.4147i −1.32475 2.29454i
\(359\) −9.96610 17.2618i −0.525991 0.911043i −0.999542 0.0302764i \(-0.990361\pi\)
0.473551 0.880767i \(-0.342972\pi\)
\(360\) −18.2556 −0.962155
\(361\) 2.17744 + 3.77144i 0.114602 + 0.198497i
\(362\) 3.84014 0.201833
\(363\) 29.3156 1.53867
\(364\) −32.8845 + 12.8931i −1.72362 + 0.675783i
\(365\) 4.84684 0.253695
\(366\) 14.4997 0.757911
\(367\) −9.85950 17.0772i −0.514662 0.891420i −0.999855 0.0170133i \(-0.994584\pi\)
0.485194 0.874407i \(-0.338749\pi\)
\(368\) 19.0369 0.992366
\(369\) −8.39096 14.5336i −0.436816 0.756588i
\(370\) 2.05940 + 3.56699i 0.107063 + 0.185439i
\(371\) −0.721313 0.864466i −0.0374487 0.0448808i
\(372\) 30.4490 1.57870
\(373\) −8.77345 + 15.1961i −0.454272 + 0.786823i −0.998646 0.0520202i \(-0.983434\pi\)
0.544374 + 0.838843i \(0.316767\pi\)
\(374\) 4.52986 + 7.84595i 0.234234 + 0.405704i
\(375\) −12.2097 21.1478i −0.630507 1.09207i
\(376\) −8.82478 15.2850i −0.455103 0.788262i
\(377\) 13.9887 2.86308i 0.720452 0.147456i
\(378\) −9.40946 + 25.6317i −0.483971 + 1.31835i
\(379\) 5.85068 10.1337i 0.300529 0.520532i −0.675727 0.737152i \(-0.736170\pi\)
0.976256 + 0.216620i \(0.0695034\pi\)
\(380\) −13.9188 −0.714021
\(381\) −11.6945 −0.599127
\(382\) −13.8055 + 23.9119i −0.706352 + 1.22344i
\(383\) 10.7644 18.6445i 0.550036 0.952690i −0.448235 0.893916i \(-0.647947\pi\)
0.998271 0.0587748i \(-0.0187194\pi\)
\(384\) 28.5334 + 49.4213i 1.45609 + 2.52202i
\(385\) 0.978699 + 1.17293i 0.0498791 + 0.0597783i
\(386\) 28.1536 + 48.7634i 1.43298 + 2.48199i
\(387\) 29.1645 1.48252
\(388\) −14.2500 24.6817i −0.723435 1.25303i
\(389\) −13.2455 + 22.9419i −0.671574 + 1.16320i 0.305884 + 0.952069i \(0.401048\pi\)
−0.977458 + 0.211131i \(0.932285\pi\)
\(390\) −22.7983 + 4.66618i −1.15444 + 0.236281i
\(391\) −53.3118 −2.69609
\(392\) 21.7026 + 18.4160i 1.09615 + 0.930146i
\(393\) −2.98476 + 5.16975i −0.150561 + 0.260779i
\(394\) −1.75633 + 3.04206i −0.0884828 + 0.153257i
\(395\) −1.36802 + 2.36949i −0.0688327 + 0.119222i
\(396\) −9.94784 −0.499898
\(397\) 16.8995 29.2707i 0.848160 1.46906i −0.0346887 0.999398i \(-0.511044\pi\)
0.882849 0.469658i \(-0.155623\pi\)
\(398\) −22.4332 −1.12447
\(399\) −9.60054 + 26.1522i −0.480628 + 1.30925i
\(400\) 4.64989 8.05384i 0.232494 0.402692i
\(401\) 21.6119 1.07925 0.539623 0.841907i \(-0.318567\pi\)
0.539623 + 0.841907i \(0.318567\pi\)
\(402\) −23.0400 + 39.9065i −1.14913 + 1.99035i
\(403\) 10.5571 2.16075i 0.525888 0.107635i
\(404\) 4.88264 + 8.45697i 0.242920 + 0.420750i
\(405\) 0.894473 1.54927i 0.0444467 0.0769839i
\(406\) −16.0302 19.2116i −0.795565 0.953455i
\(407\) 0.516056 + 0.893835i 0.0255799 + 0.0443058i
\(408\) 36.1047 + 62.5351i 1.78745 + 3.09595i
\(409\) 7.74217 0.382826 0.191413 0.981510i \(-0.438693\pi\)
0.191413 + 0.981510i \(0.438693\pi\)
\(410\) −8.61275 −0.425353
\(411\) 11.5055 + 19.9282i 0.567526 + 0.982984i
\(412\) 20.1093 + 34.8303i 0.990714 + 1.71597i
\(413\) −5.47846 + 14.9235i −0.269577 + 0.734339i
\(414\) 45.0783 78.0780i 2.21548 3.83732i
\(415\) 1.40868 + 2.43991i 0.0691495 + 0.119770i
\(416\) 6.28834 + 7.09092i 0.308311 + 0.347661i
\(417\) −0.793683 + 1.37470i −0.0388668 + 0.0673193i
\(418\) −5.37179 −0.262743
\(419\) 4.05097 7.01649i 0.197903 0.342778i −0.749945 0.661500i \(-0.769920\pi\)
0.947848 + 0.318722i \(0.103254\pi\)
\(420\) 16.9631 + 20.3296i 0.827714 + 0.991984i
\(421\) −32.1124 −1.56506 −0.782530 0.622612i \(-0.786071\pi\)
−0.782530 + 0.622612i \(0.786071\pi\)
\(422\) −10.6771 + 18.4933i −0.519755 + 0.900242i
\(423\) −19.8393 −0.964618
\(424\) 0.865159 1.49850i 0.0420158 0.0727735i
\(425\) −13.0218 + 22.5543i −0.631648 + 1.09405i
\(426\) −11.8355 + 20.4996i −0.573430 + 0.993210i
\(427\) −3.74054 4.48289i −0.181017 0.216942i
\(428\) −59.1713 −2.86015
\(429\) −5.71292 + 1.16927i −0.275822 + 0.0564531i
\(430\) 7.48384 12.9624i 0.360903 0.625102i
\(431\) 14.7640 + 25.5721i 0.711159 + 1.23176i 0.964422 + 0.264366i \(0.0851627\pi\)
−0.253263 + 0.967397i \(0.581504\pi\)
\(432\) −9.95992 −0.479197
\(433\) −11.0455 19.1314i −0.530813 0.919395i −0.999353 0.0359531i \(-0.988553\pi\)
0.468540 0.883442i \(-0.344780\pi\)
\(434\) −12.0979 14.4988i −0.580716 0.695967i
\(435\) −5.35164 9.26931i −0.256591 0.444429i
\(436\) −17.0969 + 29.6127i −0.818792 + 1.41819i
\(437\) 15.8051 27.3752i 0.756060 1.30953i
\(438\) 32.4213 1.54915
\(439\) −6.35580 −0.303346 −0.151673 0.988431i \(-0.548466\pi\)
−0.151673 + 0.988431i \(0.548466\pi\)
\(440\) −1.17387 + 2.03321i −0.0559622 + 0.0969294i
\(441\) 30.1249 10.7764i 1.43452 0.513164i
\(442\) 36.8718 + 41.5777i 1.75381 + 1.97765i
\(443\) 6.78135 + 11.7456i 0.322192 + 0.558052i 0.980940 0.194311i \(-0.0622472\pi\)
−0.658748 + 0.752363i \(0.728914\pi\)
\(444\) 8.94443 + 15.4922i 0.424484 + 0.735227i
\(445\) 1.02801 + 1.78057i 0.0487324 + 0.0844070i
\(446\) 26.0530 45.1251i 1.23365 2.13674i
\(447\) −7.72237 −0.365255
\(448\) 9.92604 27.0389i 0.468961 1.27747i
\(449\) −10.9559 18.9762i −0.517041 0.895541i −0.999804 0.0197900i \(-0.993700\pi\)
0.482763 0.875751i \(-0.339633\pi\)
\(450\) −22.0214 38.1421i −1.03810 1.79804i
\(451\) −2.15823 −0.101627
\(452\) −18.8473 32.6445i −0.886502 1.53547i
\(453\) 63.3139 2.97475
\(454\) 44.3041 2.07930
\(455\) 7.32402 + 5.84485i 0.343355 + 0.274011i
\(456\) −42.8151 −2.00500
\(457\) 15.2146 0.711710 0.355855 0.934541i \(-0.384190\pi\)
0.355855 + 0.934541i \(0.384190\pi\)
\(458\) 23.1049 + 40.0188i 1.07962 + 1.86996i
\(459\) 27.8922 1.30190
\(460\) −15.0213 26.0176i −0.700371 1.21308i
\(461\) 8.10813 + 14.0437i 0.377633 + 0.654080i 0.990717 0.135937i \(-0.0434046\pi\)
−0.613084 + 0.790018i \(0.710071\pi\)
\(462\) 6.54668 + 7.84595i 0.304579 + 0.365027i
\(463\) −1.44769 −0.0672799 −0.0336400 0.999434i \(-0.510710\pi\)
−0.0336400 + 0.999434i \(0.510710\pi\)
\(464\) 4.56353 7.90426i 0.211856 0.366946i
\(465\) −4.03884 6.99547i −0.187297 0.324407i
\(466\) 19.2994 + 33.4275i 0.894027 + 1.54850i
\(467\) −7.00337 12.1302i −0.324078 0.561319i 0.657248 0.753675i \(-0.271721\pi\)
−0.981325 + 0.192356i \(0.938387\pi\)
\(468\) −59.7803 + 12.2353i −2.76334 + 0.565579i
\(469\) 18.2817 3.17150i 0.844169 0.146446i
\(470\) −5.09091 + 8.81772i −0.234826 + 0.406731i
\(471\) −62.1172 −2.86221
\(472\) −24.4320 −1.12458
\(473\) 1.87534 3.24818i 0.0862282 0.149352i
\(474\) −9.15094 + 15.8499i −0.420316 + 0.728009i
\(475\) −7.72100 13.3732i −0.354264 0.613603i
\(476\) 21.7895 59.3553i 0.998719 2.72055i
\(477\) −0.972495 1.68441i −0.0445275 0.0771239i
\(478\) −38.4562 −1.75895
\(479\) 15.0122 + 26.0018i 0.685923 + 1.18805i 0.973146 + 0.230189i \(0.0739345\pi\)
−0.287223 + 0.957864i \(0.592732\pi\)
\(480\) 3.55219 6.15258i 0.162135 0.280826i
\(481\) 4.20055 + 4.73667i 0.191528 + 0.215973i
\(482\) 9.56649 0.435742
\(483\) −59.2457 + 10.2779i −2.69577 + 0.467662i
\(484\) 19.7253 34.1652i 0.896605 1.55296i
\(485\) −3.78033 + 6.54772i −0.171656 + 0.297317i
\(486\) 21.4633 37.1756i 0.973597 1.68632i
\(487\) −28.4903 −1.29102 −0.645510 0.763752i \(-0.723355\pi\)
−0.645510 + 0.763752i \(0.723355\pi\)
\(488\) 4.48649 7.77082i 0.203094 0.351769i
\(489\) −22.4992 −1.01745
\(490\) 2.94062 16.1546i 0.132844 0.729790i
\(491\) 14.2339 24.6538i 0.642365 1.11261i −0.342539 0.939504i \(-0.611287\pi\)
0.984903 0.173105i \(-0.0553799\pi\)
\(492\) −37.4070 −1.68644
\(493\) −12.7799 + 22.1354i −0.575578 + 0.996930i
\(494\) −32.2811 + 6.60703i −1.45239 + 0.297264i
\(495\) 1.31951 + 2.28546i 0.0593076 + 0.102724i
\(496\) 3.44406 5.96528i 0.154643 0.267849i
\(497\) 9.39114 1.62917i 0.421250 0.0730783i
\(498\) 9.42290 + 16.3209i 0.422250 + 0.731359i
\(499\) 13.1164 + 22.7183i 0.587172 + 1.01701i 0.994601 + 0.103775i \(0.0330921\pi\)
−0.407429 + 0.913237i \(0.633575\pi\)
\(500\) −32.8617 −1.46962
\(501\) 6.40465 0.286139
\(502\) 3.87684 + 6.71488i 0.173032 + 0.299700i
\(503\) −4.26588 7.38872i −0.190206 0.329447i 0.755112 0.655595i \(-0.227582\pi\)
−0.945318 + 0.326149i \(0.894249\pi\)
\(504\) 31.5024 + 37.7544i 1.40323 + 1.68172i
\(505\) 1.29529 2.24352i 0.0576398 0.0998351i
\(506\) −5.79726 10.0412i −0.257720 0.446384i
\(507\) −32.8929 + 14.0532i −1.46083 + 0.624125i
\(508\) −7.86876 + 13.6291i −0.349120 + 0.604693i
\(509\) −13.0260 −0.577366 −0.288683 0.957425i \(-0.593217\pi\)
−0.288683 + 0.957425i \(0.593217\pi\)
\(510\) 20.8283 36.0758i 0.922295 1.59746i
\(511\) −8.36384 10.0237i −0.369995 0.443425i
\(512\) 24.8008 1.09605
\(513\) −8.26908 + 14.3225i −0.365089 + 0.632352i
\(514\) 64.2200 2.83262
\(515\) 5.33472 9.24000i 0.235076 0.407163i
\(516\) 32.5039 56.2984i 1.43090 2.47840i
\(517\) −1.27571 + 2.20959i −0.0561055 + 0.0971775i
\(518\) 3.82313 10.4144i 0.167979 0.457581i
\(519\) 22.3798 0.982363
\(520\) −4.55350 + 13.6621i −0.199684 + 0.599124i
\(521\) −2.23285 + 3.86741i −0.0978230 + 0.169434i −0.910783 0.412885i \(-0.864521\pi\)
0.812960 + 0.582319i \(0.197855\pi\)
\(522\) −21.6124 37.4337i −0.945948 1.63843i
\(523\) −2.90811 −0.127163 −0.0635815 0.997977i \(-0.520252\pi\)
−0.0635815 + 0.997977i \(0.520252\pi\)
\(524\) 4.01665 + 6.95704i 0.175468 + 0.303920i
\(525\) −10.1229 + 27.5752i −0.441801 + 1.20348i
\(526\) −4.54570 7.87339i −0.198202 0.343296i
\(527\) −9.64490 + 16.7055i −0.420138 + 0.727701i
\(528\) −1.86373 + 3.22807i −0.0811084 + 0.140484i
\(529\) 45.2278 1.96643
\(530\) −0.998200 −0.0433590
\(531\) −13.7316 + 23.7838i −0.595901 + 1.03213i
\(532\) 24.0187 + 28.7855i 1.04134 + 1.24801i
\(533\) −12.9696 + 2.65451i −0.561775 + 0.114980i
\(534\) 6.87654 + 11.9105i 0.297577 + 0.515418i
\(535\) 7.84866 + 13.5943i 0.339327 + 0.587732i
\(536\) 14.2581 + 24.6957i 0.615854 + 1.06669i
\(537\) −28.8803 + 50.0221i −1.24628 + 2.15861i
\(538\) 56.9262 2.45426
\(539\) 0.736875 4.04810i 0.0317394 0.174364i
\(540\) 7.85899 + 13.6122i 0.338197 + 0.585775i
\(541\) 9.23193 + 15.9902i 0.396912 + 0.687471i 0.993343 0.115193i \(-0.0367486\pi\)
−0.596431 + 0.802664i \(0.703415\pi\)
\(542\) −23.6448 −1.01563
\(543\) −2.21229 3.83180i −0.0949384 0.164438i
\(544\) −16.9655 −0.727392
\(545\) 9.07112 0.388564
\(546\) 48.9916 + 39.0972i 2.09665 + 1.67320i
\(547\) 34.9817 1.49571 0.747856 0.663861i \(-0.231083\pi\)
0.747856 + 0.663861i \(0.231083\pi\)
\(548\) 30.9665 1.32282
\(549\) −5.04310 8.73491i −0.215234 0.372797i
\(550\) −5.66408 −0.241517
\(551\) −7.57760 13.1248i −0.322817 0.559135i
\(552\) −46.2063 80.0317i −1.96667 3.40638i
\(553\) 7.26104 1.25964i 0.308771 0.0535655i
\(554\) −28.1449 −1.19576
\(555\) 2.37283 4.10986i 0.100721 0.174454i
\(556\) 1.06808 + 1.84996i 0.0452965 + 0.0784559i
\(557\) −0.0265706 0.0460217i −0.00112583 0.00195000i 0.865462 0.500975i \(-0.167025\pi\)
−0.866588 + 0.499025i \(0.833692\pi\)
\(558\) −16.3107 28.2510i −0.690487 1.19596i
\(559\) 7.27451 21.8261i 0.307679 0.923146i
\(560\) 5.90148 1.02379i 0.249383 0.0432629i
\(561\) 5.21927 9.04004i 0.220358 0.381671i
\(562\) −31.0388 −1.30929
\(563\) 7.98506 0.336530 0.168265 0.985742i \(-0.446184\pi\)
0.168265 + 0.985742i \(0.446184\pi\)
\(564\) −22.1109 + 38.2972i −0.931037 + 1.61260i
\(565\) −4.99992 + 8.66012i −0.210348 + 0.364334i
\(566\) −20.0655 34.7544i −0.843414 1.46084i
\(567\) −4.74758 + 0.823608i −0.199380 + 0.0345883i
\(568\) 7.32424 + 12.6860i 0.307318 + 0.532291i
\(569\) −26.7241 −1.12033 −0.560167 0.828380i \(-0.689263\pi\)
−0.560167 + 0.828380i \(0.689263\pi\)
\(570\) 12.3498 + 21.3904i 0.517275 + 0.895946i
\(571\) −6.74647 + 11.6852i −0.282331 + 0.489012i −0.971958 0.235153i \(-0.924441\pi\)
0.689627 + 0.724164i \(0.257774\pi\)
\(572\) −2.48129 + 7.44476i −0.103748 + 0.311281i
\(573\) 31.8132 1.32902
\(574\) 14.8624 + 17.8120i 0.620345 + 0.743460i
\(575\) 16.6651 28.8648i 0.694982 1.20374i
\(576\) 24.8794 43.0923i 1.03664 1.79551i
\(577\) −6.00662 + 10.4038i −0.250059 + 0.433115i −0.963542 0.267558i \(-0.913783\pi\)
0.713483 + 0.700673i \(0.247117\pi\)
\(578\) −58.8811 −2.44913
\(579\) 32.4383 56.1848i 1.34809 2.33496i
\(580\) −14.4036 −0.598078
\(581\) 2.61512 7.12367i 0.108493 0.295540i
\(582\) −25.2872 + 43.7988i −1.04819 + 1.81552i
\(583\) −0.250134 −0.0103595
\(584\) 10.0318 17.3756i 0.415118 0.719005i
\(585\) 10.7404 + 12.1112i 0.444062 + 0.500739i
\(586\) −16.8305 29.1512i −0.695260 1.20422i
\(587\) −5.21177 + 9.02705i −0.215113 + 0.372586i −0.953307 0.302002i \(-0.902345\pi\)
0.738195 + 0.674588i \(0.235679\pi\)
\(588\) 12.7717 70.1628i 0.526697 2.89346i
\(589\) −5.71876 9.90518i −0.235637 0.408136i
\(590\) 7.04728 + 12.2062i 0.290132 + 0.502523i
\(591\) 4.04727 0.166482
\(592\) 4.04679 0.166322
\(593\) 11.1751 + 19.3558i 0.458905 + 0.794847i 0.998903 0.0468194i \(-0.0149085\pi\)
−0.539998 + 0.841666i \(0.681575\pi\)
\(594\) 3.03307 + 5.25344i 0.124449 + 0.215551i
\(595\) −16.5268 + 2.86706i −0.677532 + 0.117538i
\(596\) −5.19607 + 8.99986i −0.212839 + 0.368649i
\(597\) 12.9237 + 22.3845i 0.528931 + 0.916135i
\(598\) −47.1880 53.2107i −1.92966 2.17595i
\(599\) −0.579463 + 1.00366i −0.0236762 + 0.0410084i −0.877621 0.479356i \(-0.840870\pi\)
0.853945 + 0.520364i \(0.174204\pi\)
\(600\) −45.1448 −1.84303
\(601\) −21.0907 + 36.5301i −0.860306 + 1.49009i 0.0113271 + 0.999936i \(0.496394\pi\)
−0.871633 + 0.490158i \(0.836939\pi\)
\(602\) −39.7219 + 6.89094i −1.61894 + 0.280854i
\(603\) 32.0540 1.30534
\(604\) 42.6014 73.7879i 1.73343 3.00239i
\(605\) −10.4657 −0.425491
\(606\) 8.66444 15.0072i 0.351969 0.609628i
\(607\) 9.07844 15.7243i 0.368482 0.638230i −0.620846 0.783932i \(-0.713211\pi\)
0.989328 + 0.145702i \(0.0465441\pi\)
\(608\) 5.02970 8.71169i 0.203981 0.353306i
\(609\) −9.93492 + 27.0631i −0.402583 + 1.09665i
\(610\) −5.17640 −0.209586
\(611\) −4.94851 + 14.8473i −0.200195 + 0.600657i
\(612\) 54.6147 94.5955i 2.20767 3.82380i
\(613\) 0.451323 + 0.781714i 0.0182288 + 0.0315731i 0.874996 0.484130i \(-0.160864\pi\)
−0.856767 + 0.515703i \(0.827531\pi\)
\(614\) −37.9187 −1.53027
\(615\) 4.96177 + 8.59404i 0.200078 + 0.346545i
\(616\) 6.23055 1.08087i 0.251036 0.0435497i
\(617\) 13.0218 + 22.5544i 0.524238 + 0.908008i 0.999602 + 0.0282180i \(0.00898327\pi\)
−0.475363 + 0.879790i \(0.657683\pi\)
\(618\) 35.6848 61.8079i 1.43545 2.48628i
\(619\) −13.4171 + 23.2390i −0.539277 + 0.934056i 0.459666 + 0.888092i \(0.347969\pi\)
−0.998943 + 0.0459638i \(0.985364\pi\)
\(620\) −10.8703 −0.436562
\(621\) −35.6961 −1.43244
\(622\) −34.1530 + 59.1547i −1.36941 + 2.37189i
\(623\) 1.90843 5.19863i 0.0764596 0.208279i
\(624\) −7.22948 + 21.6910i −0.289411 + 0.868335i
\(625\) −5.72894 9.92281i −0.229158 0.396912i
\(626\) −22.1839 38.4237i −0.886649 1.53572i
\(627\) 3.09467 + 5.36012i 0.123589 + 0.214063i
\(628\) −41.7962 + 72.3932i −1.66785 + 2.88880i
\(629\) −11.3328 −0.451869
\(630\) 9.77543 26.6286i 0.389462 1.06091i
\(631\) 16.8061 + 29.1089i 0.669039 + 1.15881i 0.978173 + 0.207791i \(0.0666273\pi\)
−0.309135 + 0.951018i \(0.600039\pi\)
\(632\) 5.66296 + 9.80853i 0.225260 + 0.390162i
\(633\) 24.6042 0.977930
\(634\) 36.5901 + 63.3760i 1.45318 + 2.51698i
\(635\) 4.17494 0.165678
\(636\) −4.33539 −0.171909
\(637\) −0.550800 25.2328i −0.0218235 0.999762i
\(638\) −5.55889 −0.220078
\(639\) 16.4659 0.651379
\(640\) −10.1865 17.6435i −0.402655 0.697419i
\(641\) 21.1841 0.836722 0.418361 0.908281i \(-0.362605\pi\)
0.418361 + 0.908281i \(0.362605\pi\)
\(642\) 52.5010 + 90.9343i 2.07205 + 3.58889i
\(643\) −0.330770 0.572910i −0.0130443 0.0225933i 0.859430 0.511254i \(-0.170819\pi\)
−0.872474 + 0.488661i \(0.837486\pi\)
\(644\) −27.8859 + 75.9623i −1.09886 + 2.99333i
\(645\) −17.2457 −0.679047
\(646\) 29.4917 51.0811i 1.16034 2.00976i
\(647\) 20.0162 + 34.6690i 0.786916 + 1.36298i 0.927848 + 0.372960i \(0.121657\pi\)
−0.140931 + 0.990019i \(0.545010\pi\)
\(648\) −3.70268 6.41323i −0.145455 0.251936i
\(649\) 1.76594 + 3.05870i 0.0693193 + 0.120065i
\(650\) −34.0376 + 6.96654i −1.33506 + 0.273250i
\(651\) −7.49781 + 20.4243i −0.293862 + 0.800492i
\(652\) −15.1388 + 26.2212i −0.592883 + 1.02690i
\(653\) 12.7120 0.497460 0.248730 0.968573i \(-0.419987\pi\)
0.248730 + 0.968573i \(0.419987\pi\)
\(654\) 60.6782 2.37271
\(655\) 1.06556 1.84560i 0.0416349 0.0721138i
\(656\) −4.23107 + 7.32844i −0.165196 + 0.286127i
\(657\) −11.2764 19.5313i −0.439933 0.761987i
\(658\) 27.0209 4.68759i 1.05339 0.182741i
\(659\) 7.09522 + 12.2893i 0.276391 + 0.478723i 0.970485 0.241161i \(-0.0775283\pi\)
−0.694094 + 0.719884i \(0.744195\pi\)
\(660\) 5.88239 0.228972
\(661\) −25.0890 43.4554i −0.975848 1.69022i −0.677106 0.735885i \(-0.736766\pi\)
−0.298742 0.954334i \(-0.596567\pi\)
\(662\) 32.5104 56.3096i 1.26355 2.18853i
\(663\) 20.2458 60.7444i 0.786280 2.35912i
\(664\) 11.6625 0.452594
\(665\) 3.42740 9.33637i 0.132909 0.362049i
\(666\) 9.58259 16.5975i 0.371318 0.643141i
\(667\) 16.3556 28.3287i 0.633290 1.09689i
\(668\) 4.30944 7.46417i 0.166737 0.288797i
\(669\) −60.0362 −2.32113
\(670\) 8.22530 14.2466i 0.317771 0.550396i
\(671\) −1.29713 −0.0500751
\(672\) −18.8539 + 3.27077i −0.727306 + 0.126173i
\(673\) 0.937137 1.62317i 0.0361240 0.0625685i −0.847398 0.530958i \(-0.821832\pi\)
0.883522 + 0.468389i \(0.155166\pi\)
\(674\) 29.4112 1.13288
\(675\) −8.71902 + 15.1018i −0.335595 + 0.581268i
\(676\) −5.75433 + 47.7902i −0.221321 + 1.83808i
\(677\) 1.00439 + 1.73966i 0.0386020 + 0.0668607i 0.884681 0.466197i \(-0.154376\pi\)
−0.846079 + 0.533058i \(0.821043\pi\)
\(678\) −33.4453 + 57.9290i −1.28446 + 2.22475i
\(679\) 20.0648 3.48083i 0.770015 0.133582i
\(680\) −12.8894 22.3251i −0.494286 0.856128i
\(681\) −25.5234 44.2079i −0.978061 1.69405i
\(682\) −4.19525 −0.160644
\(683\) −14.1012 −0.539568 −0.269784 0.962921i \(-0.586952\pi\)
−0.269784 + 0.962921i \(0.586952\pi\)
\(684\) 32.3828 + 56.0886i 1.23819 + 2.14460i
\(685\) −4.10748 7.11437i −0.156939 0.271826i
\(686\) −38.4837 + 21.7953i −1.46932 + 0.832149i
\(687\) 26.6212 46.1094i 1.01566 1.75918i
\(688\) −7.35298 12.7357i −0.280330 0.485546i
\(689\) −1.50315 + 0.307652i −0.0572654 + 0.0117206i
\(690\) −26.6559 + 46.1693i −1.01477 + 1.75764i
\(691\) −35.6920 −1.35779 −0.678895 0.734236i \(-0.737541\pi\)
−0.678895 + 0.734236i \(0.737541\pi\)
\(692\) 15.0585 26.0820i 0.572437 0.991489i
\(693\) 2.44958 6.67274i 0.0930517 0.253476i
\(694\) −14.6746 −0.557041
\(695\) 0.283346 0.490769i 0.0107479 0.0186159i
\(696\) −44.3064 −1.67943
\(697\) 11.8489 20.5229i 0.448809 0.777360i
\(698\) 15.5596 26.9500i 0.588938 1.02007i
\(699\) 22.2366 38.5150i 0.841066 1.45677i
\(700\) 25.3257 + 30.3518i 0.957220 + 1.14719i
\(701\) −6.15865 −0.232609 −0.116305 0.993214i \(-0.537105\pi\)
−0.116305 + 0.993214i \(0.537105\pi\)
\(702\) 24.6883 + 27.8394i 0.931802 + 1.05073i
\(703\) 3.35979 5.81932i 0.126717 0.219480i
\(704\) −3.19959 5.54185i −0.120589 0.208866i
\(705\) 11.7314 0.441831
\(706\) 37.8103 + 65.4894i 1.42301 + 2.46473i
\(707\) −6.87501 + 1.19268i −0.258561 + 0.0448552i
\(708\) 30.6078 + 53.0143i 1.15031 + 1.99240i
\(709\) −17.0185 + 29.4770i −0.639144 + 1.10703i 0.346477 + 0.938059i \(0.387378\pi\)
−0.985621 + 0.168972i \(0.945955\pi\)
\(710\) 4.22527 7.31838i 0.158571 0.274654i
\(711\) 12.7311 0.477452
\(712\) 8.51094 0.318961
\(713\) 12.3434 21.3794i 0.462265 0.800667i
\(714\) −110.550 + 19.1782i −4.13724 + 0.717727i
\(715\) 2.03952 0.417432i 0.0762736 0.0156111i
\(716\) 38.8648 + 67.3158i 1.45244 + 2.51571i
\(717\) 22.1545 + 38.3727i 0.827375 + 1.43306i
\(718\) 23.7994 + 41.2218i 0.888187 + 1.53838i
\(719\) 11.4824 19.8881i 0.428222 0.741702i −0.568493 0.822688i \(-0.692474\pi\)
0.996715 + 0.0809859i \(0.0258069\pi\)
\(720\) 10.3473 0.385621
\(721\) −28.3150 + 4.91208i −1.05451 + 0.182935i
\(722\) −5.19981 9.00633i −0.193517 0.335181i
\(723\) −5.51122 9.54571i −0.204964 0.355009i
\(724\) −5.95424 −0.221288
\(725\) −7.98992 13.8389i −0.296738 0.513966i
\(726\) −70.0067 −2.59819
\(727\) 1.06558 0.0395203 0.0197601 0.999805i \(-0.493710\pi\)
0.0197601 + 0.999805i \(0.493710\pi\)
\(728\) 36.1123 14.1586i 1.33841 0.524754i
\(729\) −43.9962 −1.62949
\(730\) −11.5744 −0.428389
\(731\) 20.5916 + 35.6658i 0.761609 + 1.31915i
\(732\) −22.4822 −0.830966
\(733\) 13.1689 + 22.8092i 0.486404 + 0.842476i 0.999878 0.0156289i \(-0.00497504\pi\)
−0.513474 + 0.858105i \(0.671642\pi\)
\(734\) 23.5448 + 40.7809i 0.869056 + 1.50525i
\(735\) −17.8136 + 6.37236i −0.657064 + 0.235048i
\(736\) 21.7123 0.800326
\(737\) 2.06114 3.57000i 0.0759230 0.131502i
\(738\) 20.0379 + 34.7067i 0.737606 + 1.27757i
\(739\) −17.1075 29.6310i −0.629308 1.08999i −0.987691 0.156419i \(-0.950005\pi\)
0.358383 0.933575i \(-0.383328\pi\)
\(740\) −3.19317 5.53073i −0.117383 0.203314i
\(741\) 25.1897 + 28.4047i 0.925366 + 1.04347i
\(742\) 1.72252 + 2.06438i 0.0632358 + 0.0757857i
\(743\) −11.2391 + 19.4667i −0.412322 + 0.714163i −0.995143 0.0984379i \(-0.968615\pi\)
0.582821 + 0.812600i \(0.301949\pi\)
\(744\) −33.4377 −1.22588
\(745\) 2.75689 0.101005
\(746\) 20.9513 36.2888i 0.767083 1.32863i
\(747\) 6.55472 11.3531i 0.239825 0.415388i
\(748\) −7.02368 12.1654i −0.256811 0.444810i
\(749\) 14.5705 39.6905i 0.532393 1.45026i
\(750\) 29.1573 + 50.5018i 1.06467 + 1.84407i
\(751\) −42.5424 −1.55239 −0.776197 0.630491i \(-0.782854\pi\)
−0.776197 + 0.630491i \(0.782854\pi\)
\(752\) 5.00189 + 8.66353i 0.182400 + 0.315927i
\(753\) 4.46686 7.73683i 0.162781 0.281946i
\(754\) −33.4054 + 6.83715i −1.21655 + 0.248994i
\(755\) −22.6031 −0.822612
\(756\) 14.5896 39.7427i 0.530620 1.44543i
\(757\) 5.61902 9.73243i 0.204227 0.353731i −0.745659 0.666327i \(-0.767865\pi\)
0.949886 + 0.312596i \(0.101199\pi\)
\(758\) −13.9716 + 24.1996i −0.507473 + 0.878969i
\(759\) −6.67956 + 11.5693i −0.242453 + 0.419941i
\(760\) 15.2850 0.554447
\(761\) −6.40422 + 11.0924i −0.232153 + 0.402101i −0.958441 0.285289i \(-0.907910\pi\)
0.726289 + 0.687390i \(0.241244\pi\)
\(762\) 27.9269 1.01168
\(763\) −15.6534 18.7600i −0.566691 0.679158i
\(764\) 21.4059 37.0760i 0.774437 1.34136i
\(765\) −28.9770 −1.04767
\(766\) −25.7058 + 44.5238i −0.928789 + 1.60871i
\(767\) 14.3743 + 16.2089i 0.519024 + 0.585268i
\(768\) −38.1846 66.1377i −1.37787 2.38654i
\(769\) 25.6759 44.4719i 0.925895 1.60370i 0.135780 0.990739i \(-0.456646\pi\)
0.790115 0.612958i \(-0.210021\pi\)
\(770\) −2.33717 2.80101i −0.0842258 0.100941i
\(771\) −36.9969 64.0805i −1.33241 2.30780i
\(772\) −43.6529 75.6091i −1.57110 2.72123i
\(773\) 20.0046 0.719517 0.359759 0.933045i \(-0.382859\pi\)
0.359759 + 0.933045i \(0.382859\pi\)
\(774\) −69.6459 −2.50337
\(775\) −6.02993 10.4441i −0.216602 0.375165i
\(776\) 15.6487 + 27.1044i 0.561756 + 0.972990i
\(777\) −12.5942 + 2.18484i