Properties

Label 91.2.h.b.16.1
Level $91$
Weight $2$
Character 91.16
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 16.1
Root \(-0.181721 - 0.314749i\) of defining polynomial
Character \(\chi\) \(=\) 91.16
Dual form 91.2.h.b.74.1

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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 −0.129010 0.991643i \(-0.541180\pi\)
0.923293 0.384096i \(-0.125487\pi\)
\(4\) 3.70272 1.85136
\(5\) −0.491140 + 0.850679i −0.219644 + 0.380435i −0.954699 0.297572i \(-0.903823\pi\)
0.735055 + 0.678008i \(0.237156\pi\)
\(6\) −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 −0.818311 0.574775i \(-0.805089\pi\)
0.906926 + 0.421291i \(0.138423\pi\)
\(12\) 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 0.997611 0.0690863i \(-0.0220084\pi\)
−0.558636 + 0.829413i \(0.688675\pi\)
\(20\) −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 0.989205 0.146541i \(-0.0468141\pi\)
−0.621511 + 0.783406i \(0.713481\pi\)
\(30\) −3.22710 5.58950i −0.589185 1.02050i
\(31\) 1.49436 + 2.58831i 0.268395 + 0.464874i 0.968448 0.249218i \(-0.0801734\pi\)
−0.700053 + 0.714091i \(0.746840\pi\)
\(32\) 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 0.686312 0.727307i \(-0.259228\pi\)
−0.973023 + 0.230710i \(0.925895\pi\)
\(42\) 17.1284 + 2.97143i 2.64297 + 0.458502i
\(43\) −3.19042 + 5.52598i −0.486535 + 0.842703i −0.999880 0.0154788i \(-0.995073\pi\)
0.513345 + 0.858182i \(0.328406\pi\)
\(44\) 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 −0.663200 0.748442i \(-0.730802\pi\)
0.979770 + 0.200127i \(0.0641353\pi\)
\(48\) 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 0.851042 0.525097i \(-0.175971\pi\)
−0.880269 + 0.474476i \(0.842638\pi\)
\(54\) 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 0.786704 0.617331i \(-0.211786\pi\)
−0.927976 + 0.372640i \(0.878453\pi\)
\(62\) −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 −0.996730 0.0808015i \(-0.974252\pi\)
0.568341 + 0.822793i \(0.307585\pi\)
\(68\) −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 −0.952892 0.303311i \(-0.901908\pi\)
0.739121 + 0.673573i \(0.235241\pi\)
\(72\) 9.29247 + 16.0950i 1.09513 + 1.89682i
\(73\) −2.46714 4.27321i −0.288756 0.500141i 0.684757 0.728772i \(-0.259908\pi\)
−0.973513 + 0.228631i \(0.926575\pi\)
\(74\) −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 −0.933674 0.358125i \(-0.883416\pi\)
0.776982 + 0.629522i \(0.216749\pi\)
\(80\) −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 −0.992550 0.121840i \(-0.961120\pi\)
0.601791 + 0.798653i \(0.294454\pi\)
\(98\) 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 −0.792932 0.609310i \(-0.791447\pi\)
0.924144 + 0.382045i \(0.124780\pi\)
\(102\) 21.2041 36.7266i 2.09952 3.63647i
\(103\) 5.43095 9.40669i 0.535128 0.926868i −0.464029 0.885820i \(-0.653597\pi\)
0.999157 0.0410486i \(-0.0130699\pi\)
\(104\) −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 0.555592 0.831455i \(-0.312492\pi\)
−0.997857 + 0.0654294i \(0.979158\pi\)
\(110\) −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 −0.999706 0.0242655i \(-0.992275\pi\)
0.520867 + 0.853638i \(0.325609\pi\)
\(114\) −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 0.756201 0.654340i \(-0.227053\pi\)
−0.944775 + 0.327719i \(0.893720\pi\)
\(128\) 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 −0.814738 0.579829i \(-0.803119\pi\)
0.909516 + 0.415669i \(0.136453\pi\)
\(132\) −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 −0.853533 0.521039i \(-0.825545\pi\)
0.877999 + 0.478662i \(0.158878\pi\)
\(140\) 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 0.802801 0.596246i \(-0.203342\pi\)
−0.917765 + 0.397123i \(0.870009\pi\)
\(150\) −26.5133 −2.16480
\(151\) 11.5054 + 19.9280i 0.936300 + 1.62172i 0.772300 + 0.635258i \(0.219106\pi\)
0.164000 + 0.986460i \(0.447560\pi\)
\(152\) −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 −0.826356 0.563148i \(-0.809590\pi\)
−0.0745227 0.997219i \(-0.523743\pi\)
\(158\) 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 0.660296 0.751005i \(-0.270431\pi\)
−0.980538 + 0.196331i \(0.937097\pi\)
\(164\) −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 0.907537 0.419972i \(-0.137960\pi\)
−0.817475 + 0.575964i \(0.804627\pi\)
\(168\) 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 0.978187 0.207726i \(-0.0666061\pi\)
−0.668989 + 0.743272i \(0.733273\pi\)
\(174\) −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 −0.144752 0.989468i \(-0.546239\pi\)
0.929281 0.369375i \(-0.120428\pi\)
\(180\) 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 0.995769 0.0918886i \(-0.0292904\pi\)
−0.577463 + 0.816417i \(0.695957\pi\)
\(192\) −14.9771 + 25.9412i −1.08088 + 1.87214i
\(193\) −11.7894 + 20.4199i −0.848621 + 1.46985i 0.0338178 + 0.999428i \(0.489233\pi\)
−0.882439 + 0.470427i \(0.844100\pi\)
\(194\) 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 0.891036 0.453933i \(-0.149980\pi\)
−0.838636 + 0.544693i \(0.816646\pi\)
\(198\) 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 0.977881 0.209160i \(-0.0670730\pi\)
−0.670079 + 0.742290i \(0.733740\pi\)
\(212\) −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 −0.956638 0.291279i \(-0.905919\pi\)
0.226064 0.974112i \(-0.427414\pi\)
\(224\) −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 0.346215 + 0.938155i \(0.387467\pi\)
−0.985574 + 0.169247i \(0.945867\pi\)
\(230\) 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 0.469960 + 0.882688i \(0.344268\pi\)
−0.999410 + 0.0343462i \(0.989065\pi\)
\(234\) 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 −0.912702 0.408626i \(-0.866008\pi\)
0.810231 + 0.586110i \(0.199341\pi\)
\(252\) −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 −0.801351 0.598195i \(-0.795885\pi\)
0.918727 + 0.394893i \(0.129218\pi\)
\(264\) 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 −0.500524 0.865723i \(-0.666859\pi\)
1.00000 0.000604910i \(0.000192549\pi\)
\(284\) −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 −0.583342 0.812227i \(-0.698255\pi\)
0.995080 + 0.0990757i \(0.0315886\pi\)
\(294\) −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 0.912183 + 0.409784i \(0.134396\pi\)
−0.101208 + 0.994865i \(0.532271\pi\)
\(312\) 12.7549 + 38.2692i 0.722103 + 2.16656i
\(313\) 9.28962 16.0901i 0.525080 0.909465i −0.474493 0.880259i \(-0.657369\pi\)
0.999573 0.0292063i \(-0.00929798\pi\)
\(314\) 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 0.0107826 + 0.999942i \(0.496568\pi\)
−0.871366 + 0.490633i \(0.836766\pi\)
\(318\) 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 −0.948644 0.316344i \(-0.897545\pi\)
0.200360 0.979722i \(-0.435789\pi\)
\(332\) −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 0.637258 0.770650i \(-0.280068\pi\)
−0.986032 + 0.166557i \(0.946735\pi\)
\(350\) −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 0.0448710 + 0.998993i \(0.485712\pi\)
−0.887589 + 0.460637i \(0.847621\pi\)
\(354\) −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 0.473551 + 0.880767i \(0.342972\pi\)
−0.999542 + 0.0302764i \(0.990361\pi\)
\(360\) −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 0.485194 + 0.874407i \(0.338749\pi\)
−0.999855 + 0.0170133i \(0.994584\pi\)
\(368\) 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 0.544374 0.838843i \(-0.316767\pi\)
−0.998646 + 0.0520202i \(0.983434\pi\)
\(374\) 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 0.976256 0.216620i \(-0.0695034\pi\)
−0.675727 + 0.737152i \(0.736170\pi\)
\(380\) −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 0.998271 + 0.0587748i \(0.0187194\pi\)
−0.448235 + 0.893916i \(0.647947\pi\)
\(384\) 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 −0.977458 0.211131i \(-0.932285\pi\)
0.305884 0.952069i \(-0.401048\pi\)
\(390\) −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 0.882849 + 0.469658i \(0.155623\pi\)
−0.0346887 + 0.999398i \(0.511044\pi\)
\(398\) −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 0.947848 0.318722i \(-0.103254\pi\)
−0.749945 + 0.661500i \(0.769920\pi\)
\(420\) 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 −0.253263 0.967397i \(-0.581504\pi\)
0.964422 0.264366i \(-0.0851627\pi\)
\(432\) −9.95992 −0.479197
\(433\) −11.0455 + 19.1314i −0.530813 + 0.919395i 0.468540 + 0.883442i \(0.344780\pi\)
−0.999353 + 0.0359531i \(0.988553\pi\)
\(434\) −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 −0.658748 0.752363i \(-0.728914\pi\)
0.980940 + 0.194311i \(0.0622472\pi\)
\(444\) 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 0.482763 + 0.875751i \(0.339633\pi\)
−0.999804 + 0.0197900i \(0.993700\pi\)
\(450\) −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 −0.613084 0.790018i \(-0.710071\pi\)
0.990717 + 0.135937i \(0.0434046\pi\)
\(462\) 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 −0.981325 0.192356i \(-0.938387\pi\)
0.657248 + 0.753675i \(0.271721\pi\)
\(468\) −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 −0.287223 0.957864i \(-0.592732\pi\)
0.973146 0.230189i \(-0.0739345\pi\)
\(480\) 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 0.984903 + 0.173105i \(0.0553799\pi\)
−0.342539 + 0.939504i \(0.611287\pi\)
\(492\) −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 −0.407429 0.913237i \(-0.633575\pi\)
0.994601 0.103775i \(-0.0330921\pi\)
\(500\) −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 −0.945318 0.326149i \(-0.894249\pi\)
0.755112 + 0.655595i \(0.227582\pi\)
\(504\) 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 0.812960 0.582319i \(-0.197855\pi\)
−0.910783 + 0.412885i \(0.864521\pi\)
\(522\) −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 −0.596431 0.802664i \(-0.703415\pi\)
0.993343 + 0.115193i \(0.0367486\pi\)
\(542\) −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 −0.866588 0.499025i \(-0.833692\pi\)
0.865462 + 0.500975i \(0.167025\pi\)
\(558\) −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 0.689627 0.724164i \(-0.257774\pi\)
−0.971958 + 0.235153i \(0.924441\pi\)
\(572\) −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 0.713483 0.700673i \(-0.247117\pi\)
−0.963542 + 0.267558i \(0.913783\pi\)
\(578\) −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 0.738195 0.674588i \(-0.235679\pi\)
−0.953307 + 0.302002i \(0.902345\pi\)
\(588\) 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 −0.539998 0.841666i \(-0.681575\pi\)
0.998903 + 0.0468194i \(0.0149085\pi\)
\(594\) 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 0.853945 0.520364i \(-0.174204\pi\)
−0.877621 + 0.479356i \(0.840870\pi\)
\(600\) −45.1448 −1.84303
\(601\) −21.0907 36.5301i −0.860306 1.49009i −0.871633 0.490158i \(-0.836939\pi\)
0.0113271 0.999936i \(-0.496394\pi\)
\(602\) −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 0.989328 0.145702i \(-0.0465441\pi\)
−0.620846 + 0.783932i \(0.713211\pi\)
\(608\) 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 −0.856767 0.515703i \(-0.827531\pi\)
0.874996 + 0.484130i \(0.160864\pi\)
\(614\) −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 −0.475363 0.879790i \(-0.657683\pi\)
0.999602 0.0282180i \(-0.00898327\pi\)
\(618\) 35.6848 + 61.8079i 1.43545 + 2.48628i
\(619\) −13.4171 23.2390i −0.539277 0.934056i −0.998943 0.0459638i \(-0.985364\pi\)
0.459666 0.888092i \(-0.347969\pi\)
\(620\) −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 −0.309135 0.951018i \(-0.600039\pi\)
0.978173 0.207791i \(-0.0666273\pi\)
\(632\) 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 −0.872474 0.488661i \(-0.837486\pi\)
0.859430 + 0.511254i \(0.170819\pi\)
\(644\) −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 −0.140931 0.990019i \(-0.545010\pi\)
0.927848 0.372960i \(-0.121657\pi\)
\(648\) −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 −0.694094 0.719884i \(-0.744195\pi\)
0.970485 + 0.241161i \(0.0775283\pi\)
\(660\) 5.88239 0.228972
\(661\) −25.0890 + 43.4554i −0.975848 + 1.69022i −0.298742 + 0.954334i \(0.596567\pi\)
−0.677106 + 0.735885i \(0.736766\pi\)
\(662\) 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 0.883522 0.468389i \(-0.155166\pi\)
−0.847398 + 0.530958i \(0.821832\pi\)
\(674\) 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 −0.846079 0.533058i \(-0.821043\pi\)
0.884681 + 0.466197i \(0.154376\pi\)
\(678\) −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 −0.985621 0.168972i \(-0.945955\pi\)
0.346477 0.938059i \(-0.387378\pi\)
\(710\) 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 0.996715 0.0809859i \(-0.0258069\pi\)
−0.568493 + 0.822688i \(0.692474\pi\)
\(720\) 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 −0.513474 0.858105i \(-0.671642\pi\)
0.999878 + 0.0156289i \(0.00497504\pi\)
\(734\) 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 0.358383 + 0.933575i \(0.383328\pi\)
−0.987691 + 0.156419i \(0.950005\pi\)
\(740\) −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 0.582821 0.812600i \(-0.301949\pi\)
−0.995143 + 0.0984379i \(0.968615\pi\)
\(744\) −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 0.949886 0.312596i \(-0.101199\pi\)
−0.745659 + 0.666327i \(0.767865\pi\)
\(758\) −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 0.726289 0.687390i \(-0.241244\pi\)
−0.958441 + 0.285289i \(0.907910\pi\)
\(762\) 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 0.790115 + 0.612958i \(0.210021\pi\)
0.135780 + 0.990739i \(0.456646\pi\)
\(770\) −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