Properties

Label 390.2.x.b.199.5
Level $390$
Weight $2$
Character 390.199
Analytic conductor $3.114$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.x (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 2 x^{11} - 8 x^{10} + 34 x^{9} + 8 x^{8} - 134 x^{7} + 98 x^{6} + 154 x^{5} + 104 x^{4} + 190 x^{3} - 1196 x^{2} - 338 x + 2197\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 199.5
Root \(1.75374 - 1.62986i\) of defining polynomial
Character \(\chi\) \(=\) 390.199
Dual form 390.2.x.b.49.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.40066 - 1.74303i) q^{5} +(0.866025 - 0.500000i) q^{6} +(-0.763837 - 1.32301i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.40066 - 1.74303i) q^{5} +(0.866025 - 0.500000i) q^{6} +(-0.763837 - 1.32301i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.809179 - 2.08452i) q^{10} +(-1.14057 - 0.658509i) q^{11} -1.00000i q^{12} +(2.41225 - 2.67975i) q^{13} -1.52767 q^{14} +(2.08452 - 0.809179i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.35904 - 0.784645i) q^{17} +1.00000 q^{18} +(-4.18063 + 2.41369i) q^{19} +(-2.20984 - 0.341491i) q^{20} -1.52767i q^{21} +(-1.14057 + 0.658509i) q^{22} +(7.31172 + 4.22143i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(-1.07631 - 4.88278i) q^{25} +(-1.11461 - 3.42894i) q^{26} +1.00000i q^{27} +(-0.763837 + 1.32301i) q^{28} +(-2.21438 + 3.83543i) q^{29} +(0.341491 - 2.20984i) q^{30} +1.62745i q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.658509 - 1.14057i) q^{33} -1.56929i q^{34} +(-3.37591 - 0.521687i) q^{35} +(0.500000 - 0.866025i) q^{36} +(1.40148 - 2.42743i) q^{37} +4.82738i q^{38} +(3.42894 - 1.11461i) q^{39} +(-1.40066 + 1.74303i) q^{40} +(1.35904 + 0.784645i) q^{41} +(-1.32301 - 0.763837i) q^{42} +(4.58006 - 2.64430i) q^{43} +1.31702i q^{44} +(2.20984 + 0.341491i) q^{45} +(7.31172 - 4.22143i) q^{46} -4.94552 q^{47} +(-0.866025 + 0.500000i) q^{48} +(2.33310 - 4.04106i) q^{49} +(-4.76677 - 1.50928i) q^{50} +1.56929 q^{51} +(-3.52686 - 0.749192i) q^{52} +13.9161i q^{53} +(0.866025 + 0.500000i) q^{54} +(-2.74535 + 1.06570i) q^{55} +(0.763837 + 1.32301i) q^{56} -4.82738 q^{57} +(2.21438 + 3.83543i) q^{58} +(-9.07005 + 5.23660i) q^{59} +(-1.74303 - 1.40066i) q^{60} +(2.49134 + 4.31513i) q^{61} +(1.40941 + 0.813725i) q^{62} +(0.763837 - 1.32301i) q^{63} +1.00000 q^{64} +(-1.29215 - 7.95804i) q^{65} -1.31702 q^{66} +(-1.38628 + 2.40112i) q^{67} +(-1.35904 - 0.784645i) q^{68} +(4.22143 + 7.31172i) q^{69} +(-2.13975 + 2.66278i) q^{70} +(-12.8513 + 7.41968i) q^{71} +(-0.500000 - 0.866025i) q^{72} -5.98944 q^{73} +(-1.40148 - 2.42743i) q^{74} +(1.50928 - 4.76677i) q^{75} +(4.18063 + 2.41369i) q^{76} +2.01198i q^{77} +(0.749192 - 3.52686i) q^{78} +4.87632 q^{79} +(0.809179 + 2.08452i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(1.35904 - 0.784645i) q^{82} +6.39020 q^{83} +(-1.32301 + 0.763837i) q^{84} +(0.535898 - 3.46788i) q^{85} -5.28860i q^{86} +(-3.83543 + 2.21438i) q^{87} +(1.14057 + 0.658509i) q^{88} +(15.9738 + 9.22251i) q^{89} +(1.40066 - 1.74303i) q^{90} +(-5.38789 - 1.14452i) q^{91} -8.44285i q^{92} +(-0.813725 + 1.40941i) q^{93} +(-2.47276 + 4.28295i) q^{94} +(-1.64851 + 10.6677i) q^{95} +1.00000i q^{96} +(-0.963028 - 1.66801i) q^{97} +(-2.33310 - 4.04106i) q^{98} -1.31702i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 6q^{2} - 6q^{4} + 2q^{5} + 2q^{7} - 12q^{8} + 6q^{9} + O(q^{10}) \) \( 12q + 6q^{2} - 6q^{4} + 2q^{5} + 2q^{7} - 12q^{8} + 6q^{9} + 4q^{10} + 6q^{11} + 8q^{13} + 4q^{14} + 6q^{15} - 6q^{16} - 18q^{17} + 12q^{18} - 6q^{19} + 2q^{20} + 6q^{22} - 6q^{23} - 10q^{25} - 2q^{26} + 2q^{28} + 14q^{29} + 6q^{30} + 6q^{32} - 6q^{33} - 22q^{35} + 6q^{36} + 12q^{37} - 2q^{39} - 2q^{40} - 18q^{41} + 12q^{42} + 36q^{43} - 2q^{45} - 6q^{46} - 16q^{47} + 8q^{49} - 20q^{50} + 16q^{51} - 10q^{52} + 8q^{55} - 2q^{56} + 8q^{57} - 14q^{58} - 36q^{59} + 10q^{61} - 6q^{62} - 2q^{63} + 12q^{64} - 44q^{65} - 12q^{66} - 4q^{67} + 18q^{68} + 16q^{69} + 4q^{70} - 12q^{71} - 6q^{72} - 28q^{73} - 12q^{74} + 16q^{75} + 6q^{76} + 2q^{78} + 4q^{79} - 4q^{80} - 6q^{81} - 18q^{82} - 72q^{83} + 12q^{84} + 48q^{85} - 6q^{87} - 6q^{88} + 18q^{89} + 2q^{90} + 2q^{91} + 16q^{93} - 8q^{94} + 18q^{95} + 48q^{97} - 8q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 1.40066 1.74303i 0.626394 0.779507i
\(6\) 0.866025 0.500000i 0.353553 0.204124i
\(7\) −0.763837 1.32301i −0.288703 0.500049i 0.684797 0.728734i \(-0.259891\pi\)
−0.973501 + 0.228685i \(0.926557\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −0.809179 2.08452i −0.255885 0.659184i
\(11\) −1.14057 0.658509i −0.343895 0.198548i 0.318098 0.948058i \(-0.396956\pi\)
−0.661993 + 0.749510i \(0.730289\pi\)
\(12\) 1.00000i 0.288675i
\(13\) 2.41225 2.67975i 0.669037 0.743229i
\(14\) −1.52767 −0.408288
\(15\) 2.08452 0.809179i 0.538221 0.208929i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.35904 0.784645i 0.329617 0.190304i −0.326054 0.945351i \(-0.605719\pi\)
0.655671 + 0.755047i \(0.272386\pi\)
\(18\) 1.00000 0.235702
\(19\) −4.18063 + 2.41369i −0.959103 + 0.553738i −0.895897 0.444262i \(-0.853466\pi\)
−0.0632058 + 0.998001i \(0.520132\pi\)
\(20\) −2.20984 0.341491i −0.494135 0.0763597i
\(21\) 1.52767i 0.333366i
\(22\) −1.14057 + 0.658509i −0.243171 + 0.140395i
\(23\) 7.31172 + 4.22143i 1.52460 + 0.880228i 0.999575 + 0.0291412i \(0.00927724\pi\)
0.525025 + 0.851087i \(0.324056\pi\)
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) −1.07631 4.88278i −0.215262 0.976556i
\(26\) −1.11461 3.42894i −0.218593 0.672471i
\(27\) 1.00000i 0.192450i
\(28\) −0.763837 + 1.32301i −0.144352 + 0.250025i
\(29\) −2.21438 + 3.83543i −0.411201 + 0.712221i −0.995021 0.0996620i \(-0.968224\pi\)
0.583821 + 0.811883i \(0.301557\pi\)
\(30\) 0.341491 2.20984i 0.0623475 0.403459i
\(31\) 1.62745i 0.292299i 0.989263 + 0.146149i \(0.0466880\pi\)
−0.989263 + 0.146149i \(0.953312\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −0.658509 1.14057i −0.114632 0.198548i
\(34\) 1.56929i 0.269131i
\(35\) −3.37591 0.521687i −0.570634 0.0881813i
\(36\) 0.500000 0.866025i 0.0833333 0.144338i
\(37\) 1.40148 2.42743i 0.230402 0.399067i −0.727525 0.686081i \(-0.759329\pi\)
0.957926 + 0.287014i \(0.0926627\pi\)
\(38\) 4.82738i 0.783104i
\(39\) 3.42894 1.11461i 0.549070 0.178480i
\(40\) −1.40066 + 1.74303i −0.221464 + 0.275597i
\(41\) 1.35904 + 0.784645i 0.212247 + 0.122541i 0.602355 0.798228i \(-0.294229\pi\)
−0.390108 + 0.920769i \(0.627562\pi\)
\(42\) −1.32301 0.763837i −0.204144 0.117863i
\(43\) 4.58006 2.64430i 0.698452 0.403252i −0.108318 0.994116i \(-0.534547\pi\)
0.806771 + 0.590865i \(0.201213\pi\)
\(44\) 1.31702i 0.198548i
\(45\) 2.20984 + 0.341491i 0.329423 + 0.0509065i
\(46\) 7.31172 4.22143i 1.07805 0.622415i
\(47\) −4.94552 −0.721378 −0.360689 0.932686i \(-0.617458\pi\)
−0.360689 + 0.932686i \(0.617458\pi\)
\(48\) −0.866025 + 0.500000i −0.125000 + 0.0721688i
\(49\) 2.33310 4.04106i 0.333301 0.577294i
\(50\) −4.76677 1.50928i −0.674123 0.213444i
\(51\) 1.56929 0.219744
\(52\) −3.52686 0.749192i −0.489087 0.103894i
\(53\) 13.9161i 1.91152i 0.294148 + 0.955760i \(0.404964\pi\)
−0.294148 + 0.955760i \(0.595036\pi\)
\(54\) 0.866025 + 0.500000i 0.117851 + 0.0680414i
\(55\) −2.74535 + 1.06570i −0.370183 + 0.143699i
\(56\) 0.763837 + 1.32301i 0.102072 + 0.176794i
\(57\) −4.82738 −0.639402
\(58\) 2.21438 + 3.83543i 0.290763 + 0.503616i
\(59\) −9.07005 + 5.23660i −1.18082 + 0.681747i −0.956204 0.292700i \(-0.905446\pi\)
−0.224616 + 0.974447i \(0.572113\pi\)
\(60\) −1.74303 1.40066i −0.225024 0.180824i
\(61\) 2.49134 + 4.31513i 0.318984 + 0.552496i 0.980276 0.197632i \(-0.0633252\pi\)
−0.661293 + 0.750128i \(0.729992\pi\)
\(62\) 1.40941 + 0.813725i 0.178996 + 0.103343i
\(63\) 0.763837 1.32301i 0.0962345 0.166683i
\(64\) 1.00000 0.125000
\(65\) −1.29215 7.95804i −0.160272 0.987073i
\(66\) −1.31702 −0.162114
\(67\) −1.38628 + 2.40112i −0.169362 + 0.293343i −0.938196 0.346105i \(-0.887504\pi\)
0.768834 + 0.639448i \(0.220837\pi\)
\(68\) −1.35904 0.784645i −0.164808 0.0951521i
\(69\) 4.22143 + 7.31172i 0.508200 + 0.880228i
\(70\) −2.13975 + 2.66278i −0.255749 + 0.318264i
\(71\) −12.8513 + 7.41968i −1.52516 + 0.880554i −0.525608 + 0.850727i \(0.676162\pi\)
−0.999555 + 0.0298269i \(0.990504\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) −5.98944 −0.701011 −0.350505 0.936561i \(-0.613990\pi\)
−0.350505 + 0.936561i \(0.613990\pi\)
\(74\) −1.40148 2.42743i −0.162919 0.282183i
\(75\) 1.50928 4.76677i 0.174277 0.550419i
\(76\) 4.18063 + 2.41369i 0.479551 + 0.276869i
\(77\) 2.01198i 0.229286i
\(78\) 0.749192 3.52686i 0.0848293 0.399338i
\(79\) 4.87632 0.548629 0.274315 0.961640i \(-0.411549\pi\)
0.274315 + 0.961640i \(0.411549\pi\)
\(80\) 0.809179 + 2.08452i 0.0904690 + 0.233057i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 1.35904 0.784645i 0.150081 0.0866495i
\(83\) 6.39020 0.701416 0.350708 0.936485i \(-0.385941\pi\)
0.350708 + 0.936485i \(0.385941\pi\)
\(84\) −1.32301 + 0.763837i −0.144352 + 0.0833415i
\(85\) 0.535898 3.46788i 0.0581263 0.376144i
\(86\) 5.28860i 0.570284i
\(87\) −3.83543 + 2.21438i −0.411201 + 0.237407i
\(88\) 1.14057 + 0.658509i 0.121585 + 0.0701973i
\(89\) 15.9738 + 9.22251i 1.69322 + 0.977584i 0.951886 + 0.306452i \(0.0991419\pi\)
0.741338 + 0.671131i \(0.234191\pi\)
\(90\) 1.40066 1.74303i 0.147642 0.183732i
\(91\) −5.38789 1.14452i −0.564804 0.119978i
\(92\) 8.44285i 0.880228i
\(93\) −0.813725 + 1.40941i −0.0843794 + 0.146149i
\(94\) −2.47276 + 4.28295i −0.255046 + 0.441752i
\(95\) −1.64851 + 10.6677i −0.169133 + 1.09449i
\(96\) 1.00000i 0.102062i
\(97\) −0.963028 1.66801i −0.0977807 0.169361i 0.812985 0.582285i \(-0.197841\pi\)
−0.910766 + 0.412923i \(0.864508\pi\)
\(98\) −2.33310 4.04106i −0.235679 0.408208i
\(99\) 1.31702i 0.132365i
\(100\) −3.69046 + 3.37350i −0.369046 + 0.337350i
\(101\) 1.21929 2.11188i 0.121324 0.210140i −0.798966 0.601376i \(-0.794619\pi\)
0.920290 + 0.391237i \(0.127953\pi\)
\(102\) 0.784645 1.35904i 0.0776914 0.134565i
\(103\) 12.4300i 1.22477i 0.790561 + 0.612383i \(0.209789\pi\)
−0.790561 + 0.612383i \(0.790211\pi\)
\(104\) −2.41225 + 2.67975i −0.236540 + 0.262771i
\(105\) −2.66278 2.13975i −0.259861 0.208818i
\(106\) 12.0517 + 6.95804i 1.17056 + 0.675824i
\(107\) 9.07302 + 5.23831i 0.877122 + 0.506407i 0.869708 0.493566i \(-0.164307\pi\)
0.00741349 + 0.999973i \(0.497640\pi\)
\(108\) 0.866025 0.500000i 0.0833333 0.0481125i
\(109\) 17.1799i 1.64553i −0.568379 0.822767i \(-0.692429\pi\)
0.568379 0.822767i \(-0.307571\pi\)
\(110\) −0.449750 + 2.91040i −0.0428820 + 0.277495i
\(111\) 2.42743 1.40148i 0.230402 0.133022i
\(112\) 1.52767 0.144352
\(113\) −2.25151 + 1.29991i −0.211805 + 0.122285i −0.602150 0.798383i \(-0.705689\pi\)
0.390345 + 0.920669i \(0.372356\pi\)
\(114\) −2.41369 + 4.18063i −0.226063 + 0.391552i
\(115\) 17.5993 6.83178i 1.64114 0.637067i
\(116\) 4.42877 0.411201
\(117\) 3.52686 + 0.749192i 0.326058 + 0.0692628i
\(118\) 10.4732i 0.964136i
\(119\) −2.07618 1.19868i −0.190323 0.109883i
\(120\) −2.08452 + 0.809179i −0.190290 + 0.0738676i
\(121\) −4.63273 8.02413i −0.421157 0.729466i
\(122\) 4.98268 0.451111
\(123\) 0.784645 + 1.35904i 0.0707490 + 0.122541i
\(124\) 1.40941 0.813725i 0.126569 0.0730747i
\(125\) −10.0184 4.96307i −0.896071 0.443911i
\(126\) −0.763837 1.32301i −0.0680481 0.117863i
\(127\) −7.01552 4.05041i −0.622527 0.359416i 0.155325 0.987863i \(-0.450357\pi\)
−0.777852 + 0.628447i \(0.783691\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) 5.28860 0.465635
\(130\) −7.53794 2.85998i −0.661121 0.250837i
\(131\) −2.32506 −0.203141 −0.101571 0.994828i \(-0.532387\pi\)
−0.101571 + 0.994828i \(0.532387\pi\)
\(132\) −0.658509 + 1.14057i −0.0573158 + 0.0992740i
\(133\) 6.38665 + 3.68733i 0.553792 + 0.319732i
\(134\) 1.38628 + 2.40112i 0.119757 + 0.207425i
\(135\) 1.74303 + 1.40066i 0.150016 + 0.120550i
\(136\) −1.35904 + 0.784645i −0.116537 + 0.0672827i
\(137\) −6.14192 10.6381i −0.524740 0.908876i −0.999585 0.0288066i \(-0.990829\pi\)
0.474845 0.880069i \(-0.342504\pi\)
\(138\) 8.44285 0.718703
\(139\) −3.32861 5.76531i −0.282329 0.489008i 0.689629 0.724163i \(-0.257774\pi\)
−0.971958 + 0.235155i \(0.924440\pi\)
\(140\) 1.23616 + 3.18447i 0.104475 + 0.269137i
\(141\) −4.28295 2.47276i −0.360689 0.208244i
\(142\) 14.8394i 1.24529i
\(143\) −4.51598 + 1.46796i −0.377645 + 0.122757i
\(144\) −1.00000 −0.0833333
\(145\) 3.58367 + 9.23186i 0.297607 + 0.766664i
\(146\) −2.99472 + 5.18700i −0.247845 + 0.429280i
\(147\) 4.04106 2.33310i 0.333301 0.192431i
\(148\) −2.80296 −0.230402
\(149\) −2.60768 + 1.50554i −0.213629 + 0.123339i −0.602997 0.797744i \(-0.706027\pi\)
0.389368 + 0.921082i \(0.372694\pi\)
\(150\) −3.37350 3.69046i −0.275445 0.301325i
\(151\) 12.0149i 0.977759i 0.872351 + 0.488880i \(0.162594\pi\)
−0.872351 + 0.488880i \(0.837406\pi\)
\(152\) 4.18063 2.41369i 0.339094 0.195776i
\(153\) 1.35904 + 0.784645i 0.109872 + 0.0634348i
\(154\) 1.74242 + 1.00599i 0.140408 + 0.0810648i
\(155\) 2.83670 + 2.27950i 0.227849 + 0.183094i
\(156\) −2.67975 2.41225i −0.214552 0.193134i
\(157\) 3.01556i 0.240668i −0.992733 0.120334i \(-0.961604\pi\)
0.992733 0.120334i \(-0.0383965\pi\)
\(158\) 2.43816 4.22302i 0.193970 0.335965i
\(159\) −6.95804 + 12.0517i −0.551808 + 0.955760i
\(160\) 2.20984 + 0.341491i 0.174703 + 0.0269972i
\(161\) 12.8979i 1.01650i
\(162\) 0.500000 + 0.866025i 0.0392837 + 0.0680414i
\(163\) 4.95812 + 8.58772i 0.388350 + 0.672642i 0.992228 0.124435i \(-0.0397119\pi\)
−0.603878 + 0.797077i \(0.706379\pi\)
\(164\) 1.56929i 0.122541i
\(165\) −2.91040 0.449750i −0.226574 0.0350130i
\(166\) 3.19510 5.53408i 0.247988 0.429528i
\(167\) 6.49472 11.2492i 0.502576 0.870488i −0.497419 0.867510i \(-0.665719\pi\)
0.999996 0.00297754i \(-0.000947782\pi\)
\(168\) 1.52767i 0.117863i
\(169\) −1.36213 12.9284i −0.104779 0.994496i
\(170\) −2.73532 2.19804i −0.209789 0.168582i
\(171\) −4.18063 2.41369i −0.319701 0.184579i
\(172\) −4.58006 2.64430i −0.349226 0.201626i
\(173\) −3.35755 + 1.93848i −0.255270 + 0.147380i −0.622175 0.782878i \(-0.713751\pi\)
0.366905 + 0.930258i \(0.380417\pi\)
\(174\) 4.42877i 0.335744i
\(175\) −5.63782 + 5.15361i −0.426179 + 0.389577i
\(176\) 1.14057 0.658509i 0.0859738 0.0496370i
\(177\) −10.4732 −0.787213
\(178\) 15.9738 9.22251i 1.19729 0.691256i
\(179\) 7.05325 12.2166i 0.527185 0.913111i −0.472313 0.881431i \(-0.656581\pi\)
0.999498 0.0316802i \(-0.0100858\pi\)
\(180\) −0.809179 2.08452i −0.0603126 0.155371i
\(181\) −26.1472 −1.94351 −0.971753 0.236001i \(-0.924163\pi\)
−0.971753 + 0.236001i \(0.924163\pi\)
\(182\) −3.68513 + 4.09379i −0.273160 + 0.303452i
\(183\) 4.98268i 0.368331i
\(184\) −7.31172 4.22143i −0.539027 0.311208i
\(185\) −2.26809 5.84282i −0.166754 0.429573i
\(186\) 0.813725 + 1.40941i 0.0596652 + 0.103343i
\(187\) −2.06678 −0.151138
\(188\) 2.47276 + 4.28295i 0.180345 + 0.312366i
\(189\) 1.32301 0.763837i 0.0962345 0.0555610i
\(190\) 8.41426 + 6.76151i 0.610435 + 0.490531i
\(191\) −9.42713 16.3283i −0.682123 1.18147i −0.974332 0.225117i \(-0.927723\pi\)
0.292208 0.956355i \(-0.405610\pi\)
\(192\) 0.866025 + 0.500000i 0.0625000 + 0.0360844i
\(193\) 8.94600 15.4949i 0.643947 1.11535i −0.340596 0.940210i \(-0.610629\pi\)
0.984544 0.175140i \(-0.0560378\pi\)
\(194\) −1.92606 −0.138283
\(195\) 2.85998 7.53794i 0.204808 0.539803i
\(196\) −4.66621 −0.333301
\(197\) −0.312928 + 0.542008i −0.0222952 + 0.0386165i −0.876958 0.480567i \(-0.840431\pi\)
0.854663 + 0.519184i \(0.173764\pi\)
\(198\) −1.14057 0.658509i −0.0810568 0.0467982i
\(199\) −8.84057 15.3123i −0.626691 1.08546i −0.988211 0.153097i \(-0.951075\pi\)
0.361520 0.932364i \(-0.382258\pi\)
\(200\) 1.07631 + 4.88278i 0.0761065 + 0.345265i
\(201\) −2.40112 + 1.38628i −0.169362 + 0.0977810i
\(202\) −1.21929 2.11188i −0.0857891 0.148591i
\(203\) 6.76572 0.474860
\(204\) −0.784645 1.35904i −0.0549361 0.0951521i
\(205\) 3.27122 1.26984i 0.228472 0.0886892i
\(206\) 10.7647 + 6.21501i 0.750013 + 0.433020i
\(207\) 8.44285i 0.586819i
\(208\) 1.11461 + 3.42894i 0.0772842 + 0.237754i
\(209\) 6.35774 0.439774
\(210\) −3.18447 + 1.23616i −0.219749 + 0.0853033i
\(211\) −8.62227 + 14.9342i −0.593581 + 1.02811i 0.400164 + 0.916443i \(0.368953\pi\)
−0.993745 + 0.111669i \(0.964380\pi\)
\(212\) 12.0517 6.95804i 0.827712 0.477880i
\(213\) −14.8394 −1.01678
\(214\) 9.07302 5.23831i 0.620219 0.358083i
\(215\) 1.80601 11.6869i 0.123169 0.797043i
\(216\) 1.00000i 0.0680414i
\(217\) 2.15313 1.24311i 0.146164 0.0843877i
\(218\) −14.8782 8.58994i −1.00768 0.581784i
\(219\) −5.18700 2.99472i −0.350505 0.202364i
\(220\) 2.29560 + 1.84469i 0.154769 + 0.124369i
\(221\) 1.17570 5.53466i 0.0790861 0.372301i
\(222\) 2.80296i 0.188122i
\(223\) 2.44858 4.24107i 0.163969 0.284003i −0.772320 0.635234i \(-0.780904\pi\)
0.936289 + 0.351231i \(0.114237\pi\)
\(224\) 0.763837 1.32301i 0.0510360 0.0883970i
\(225\) 3.69046 3.37350i 0.246031 0.224900i
\(226\) 2.59982i 0.172938i
\(227\) −5.07567 8.79132i −0.336884 0.583500i 0.646961 0.762523i \(-0.276040\pi\)
−0.983845 + 0.179023i \(0.942706\pi\)
\(228\) 2.41369 + 4.18063i 0.159850 + 0.276869i
\(229\) 15.3959i 1.01739i −0.860947 0.508694i \(-0.830129\pi\)
0.860947 0.508694i \(-0.169871\pi\)
\(230\) 2.88316 18.6573i 0.190110 1.23023i
\(231\) −1.00599 + 1.74242i −0.0661891 + 0.114643i
\(232\) 2.21438 3.83543i 0.145381 0.251808i
\(233\) 9.91624i 0.649634i −0.945777 0.324817i \(-0.894697\pi\)
0.945777 0.324817i \(-0.105303\pi\)
\(234\) 2.41225 2.67975i 0.157694 0.175181i
\(235\) −6.92699 + 8.62019i −0.451867 + 0.562319i
\(236\) 9.07005 + 5.23660i 0.590410 + 0.340873i
\(237\) 4.22302 + 2.43816i 0.274315 + 0.158376i
\(238\) −2.07618 + 1.19868i −0.134579 + 0.0776990i
\(239\) 9.46167i 0.612024i −0.952028 0.306012i \(-0.901005\pi\)
0.952028 0.306012i \(-0.0989948\pi\)
\(240\) −0.341491 + 2.20984i −0.0220432 + 0.142644i
\(241\) 11.3482 6.55189i 0.731002 0.422044i −0.0877865 0.996139i \(-0.527979\pi\)
0.818789 + 0.574095i \(0.194646\pi\)
\(242\) −9.26546 −0.595607
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) 2.49134 4.31513i 0.159492 0.276248i
\(245\) −3.77580 9.72681i −0.241227 0.621423i
\(246\) 1.56929 0.100054
\(247\) −3.61663 + 17.0255i −0.230121 + 1.08330i
\(248\) 1.62745i 0.103343i
\(249\) 5.53408 + 3.19510i 0.350708 + 0.202481i
\(250\) −9.30734 + 6.19463i −0.588648 + 0.391783i
\(251\) 11.5822 + 20.0610i 0.731062 + 1.26624i 0.956430 + 0.291963i \(0.0943085\pi\)
−0.225367 + 0.974274i \(0.572358\pi\)
\(252\) −1.52767 −0.0962345
\(253\) −5.55969 9.62967i −0.349535 0.605412i
\(254\) −7.01552 + 4.05041i −0.440193 + 0.254146i
\(255\) 2.19804 2.73532i 0.137647 0.171292i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −3.32895 1.92197i −0.207654 0.119889i 0.392566 0.919724i \(-0.371587\pi\)
−0.600221 + 0.799834i \(0.704921\pi\)
\(258\) 2.64430 4.58006i 0.164627 0.285142i
\(259\) −4.28201 −0.266071
\(260\) −6.24579 + 5.09805i −0.387347 + 0.316168i
\(261\) −4.42877 −0.274134
\(262\) −1.16253 + 2.01356i −0.0718213 + 0.124398i
\(263\) 26.5060 + 15.3032i 1.63443 + 0.943638i 0.982704 + 0.185184i \(0.0592880\pi\)
0.651726 + 0.758455i \(0.274045\pi\)
\(264\) 0.658509 + 1.14057i 0.0405284 + 0.0701973i
\(265\) 24.2561 + 19.4917i 1.49004 + 1.19736i
\(266\) 6.38665 3.68733i 0.391590 0.226085i
\(267\) 9.22251 + 15.9738i 0.564408 + 0.977584i
\(268\) 2.77257 0.169362
\(269\) 9.04370 + 15.6641i 0.551404 + 0.955060i 0.998174 + 0.0604109i \(0.0192411\pi\)
−0.446769 + 0.894649i \(0.647426\pi\)
\(270\) 2.08452 0.809179i 0.126860 0.0492451i
\(271\) 12.2869 + 7.09382i 0.746373 + 0.430919i 0.824382 0.566034i \(-0.191523\pi\)
−0.0780089 + 0.996953i \(0.524856\pi\)
\(272\) 1.56929i 0.0951521i
\(273\) −4.09379 3.68513i −0.247767 0.223034i
\(274\) −12.2838 −0.742094
\(275\) −1.98775 + 6.27792i −0.119866 + 0.378573i
\(276\) 4.22143 7.31172i 0.254100 0.440114i
\(277\) 14.5855 8.42097i 0.876360 0.505967i 0.00690380 0.999976i \(-0.497802\pi\)
0.869457 + 0.494009i \(0.164469\pi\)
\(278\) −6.65721 −0.399273
\(279\) −1.40941 + 0.813725i −0.0843794 + 0.0487165i
\(280\) 3.37591 + 0.521687i 0.201749 + 0.0311768i
\(281\) 8.61535i 0.513949i 0.966418 + 0.256974i \(0.0827256\pi\)
−0.966418 + 0.256974i \(0.917274\pi\)
\(282\) −4.28295 + 2.47276i −0.255046 + 0.147251i
\(283\) −23.9192 13.8098i −1.42185 0.820905i −0.425392 0.905009i \(-0.639864\pi\)
−0.996457 + 0.0841040i \(0.973197\pi\)
\(284\) 12.8513 + 7.41968i 0.762582 + 0.440277i
\(285\) −6.76151 + 8.41426i −0.400517 + 0.498418i
\(286\) −0.986699 + 4.64493i −0.0583447 + 0.274661i
\(287\) 2.39736i 0.141512i
\(288\) −0.500000 + 0.866025i −0.0294628 + 0.0510310i
\(289\) −7.26867 + 12.5897i −0.427569 + 0.740570i
\(290\) 9.78686 + 1.51239i 0.574704 + 0.0888103i
\(291\) 1.92606i 0.112907i
\(292\) 2.99472 + 5.18700i 0.175253 + 0.303546i
\(293\) −15.1250 26.1973i −0.883614 1.53046i −0.847294 0.531125i \(-0.821770\pi\)
−0.0363205 0.999340i \(-0.511564\pi\)
\(294\) 4.66621i 0.272139i
\(295\) −3.57650 + 23.1441i −0.208232 + 1.34750i
\(296\) −1.40148 + 2.42743i −0.0814593 + 0.141092i
\(297\) 0.658509 1.14057i 0.0382106 0.0661826i
\(298\) 3.01108i 0.174427i
\(299\) 28.9501 9.41048i 1.67422 0.544222i
\(300\) −4.88278 + 1.07631i −0.281908 + 0.0621407i
\(301\) −6.99684 4.03963i −0.403291 0.232840i
\(302\) 10.4052 + 6.00745i 0.598753 + 0.345690i
\(303\) 2.11188 1.21929i 0.121324 0.0700465i
\(304\) 4.82738i 0.276869i
\(305\) 11.0109 + 1.70154i 0.630484 + 0.0974300i
\(306\) 1.35904 0.784645i 0.0776914 0.0448552i
\(307\) −14.1392 −0.806966 −0.403483 0.914987i \(-0.632201\pi\)
−0.403483 + 0.914987i \(0.632201\pi\)
\(308\) 1.74242 1.00599i 0.0992837 0.0573215i
\(309\) −6.21501 + 10.7647i −0.353559 + 0.612383i
\(310\) 3.39246 1.31690i 0.192679 0.0747948i
\(311\) −9.97427 −0.565589 −0.282794 0.959181i \(-0.591261\pi\)
−0.282794 + 0.959181i \(0.591261\pi\)
\(312\) −3.42894 + 1.11461i −0.194126 + 0.0631023i
\(313\) 3.08460i 0.174352i −0.996193 0.0871760i \(-0.972216\pi\)
0.996193 0.0871760i \(-0.0277843\pi\)
\(314\) −2.61155 1.50778i −0.147378 0.0850888i
\(315\) −1.23616 3.18447i −0.0696499 0.179425i
\(316\) −2.43816 4.22302i −0.137157 0.237563i
\(317\) 14.2980 0.803054 0.401527 0.915847i \(-0.368480\pi\)
0.401527 + 0.915847i \(0.368480\pi\)
\(318\) 6.95804 + 12.0517i 0.390187 + 0.675824i
\(319\) 5.05132 2.91638i 0.282820 0.163286i
\(320\) 1.40066 1.74303i 0.0782992 0.0974384i
\(321\) 5.23831 + 9.07302i 0.292374 + 0.506407i
\(322\) −11.1699 6.44897i −0.622476 0.359387i
\(323\) −3.78778 + 6.56062i −0.210757 + 0.365043i
\(324\) 1.00000 0.0555556
\(325\) −15.6810 8.89424i −0.869823 0.493363i
\(326\) 9.91624 0.549210
\(327\) 8.58994 14.8782i 0.475025 0.822767i
\(328\) −1.35904 0.784645i −0.0750407 0.0433248i
\(329\) 3.77757 + 6.54295i 0.208264 + 0.360724i
\(330\) −1.84469 + 2.29560i −0.101547 + 0.126369i
\(331\) −9.89017 + 5.71009i −0.543613 + 0.313855i −0.746542 0.665338i \(-0.768287\pi\)
0.202929 + 0.979193i \(0.434954\pi\)
\(332\) −3.19510 5.53408i −0.175354 0.303722i
\(333\) 2.80296 0.153601
\(334\) −6.49472 11.2492i −0.355375 0.615528i
\(335\) 2.24351 + 5.77948i 0.122576 + 0.315767i
\(336\) 1.32301 + 0.763837i 0.0721759 + 0.0416708i
\(337\) 5.53208i 0.301352i 0.988583 + 0.150676i \(0.0481450\pi\)
−0.988583 + 0.150676i \(0.951855\pi\)
\(338\) −11.8774 5.28458i −0.646047 0.287443i
\(339\) −2.59982 −0.141203
\(340\) −3.27122 + 1.26984i −0.177407 + 0.0688665i
\(341\) 1.07169 1.85622i 0.0580353 0.100520i
\(342\) −4.18063 + 2.41369i −0.226063 + 0.130517i
\(343\) −17.8222 −0.962307
\(344\) −4.58006 + 2.64430i −0.246940 + 0.142571i
\(345\) 18.6573 + 2.88316i 1.00448 + 0.155224i
\(346\) 3.87696i 0.208427i
\(347\) −2.44226 + 1.41004i −0.131107 + 0.0756949i −0.564119 0.825693i \(-0.690784\pi\)
0.433012 + 0.901388i \(0.357451\pi\)
\(348\) 3.83543 + 2.21438i 0.205600 + 0.118703i
\(349\) 23.0704 + 13.3197i 1.23493 + 0.712986i 0.968053 0.250745i \(-0.0806757\pi\)
0.266875 + 0.963731i \(0.414009\pi\)
\(350\) 1.64425 + 7.45930i 0.0878889 + 0.398717i
\(351\) 2.67975 + 2.41225i 0.143035 + 0.128756i
\(352\) 1.31702i 0.0701973i
\(353\) 6.61308 11.4542i 0.351979 0.609645i −0.634617 0.772826i \(-0.718842\pi\)
0.986596 + 0.163182i \(0.0521757\pi\)
\(354\) −5.23660 + 9.07005i −0.278322 + 0.482068i
\(355\) −5.06751 + 32.7926i −0.268955 + 1.74045i
\(356\) 18.4450i 0.977584i
\(357\) −1.19868 2.07618i −0.0634410 0.109883i
\(358\) −7.05325 12.2166i −0.372776 0.645667i
\(359\) 12.3827i 0.653532i 0.945105 + 0.326766i \(0.105959\pi\)
−0.945105 + 0.326766i \(0.894041\pi\)
\(360\) −2.20984 0.341491i −0.116469 0.0179982i
\(361\) 2.15178 3.72700i 0.113252 0.196158i
\(362\) −13.0736 + 22.6441i −0.687133 + 1.19015i
\(363\) 9.26546i 0.486311i
\(364\) 1.70276 + 5.23831i 0.0892489 + 0.274562i
\(365\) −8.38916 + 10.4398i −0.439109 + 0.546443i
\(366\) 4.31513 + 2.49134i 0.225556 + 0.130225i
\(367\) 6.14226 + 3.54624i 0.320623 + 0.185112i 0.651670 0.758502i \(-0.274069\pi\)
−0.331047 + 0.943614i \(0.607402\pi\)
\(368\) −7.31172 + 4.22143i −0.381150 + 0.220057i
\(369\) 1.56929i 0.0816939i
\(370\) −6.19408 0.957185i −0.322015 0.0497617i
\(371\) 18.4110 10.6296i 0.955854 0.551862i
\(372\) 1.62745 0.0843794
\(373\) −32.0259 + 18.4902i −1.65824 + 0.957384i −0.684709 + 0.728816i \(0.740071\pi\)
−0.973528 + 0.228568i \(0.926596\pi\)
\(374\) −1.03339 + 1.78989i −0.0534354 + 0.0925528i
\(375\) −6.19463 9.30734i −0.319890 0.480629i
\(376\) 4.94552 0.255046
\(377\) 4.93634 + 15.1860i 0.254235 + 0.782118i
\(378\) 1.52767i 0.0785751i
\(379\) −29.6252 17.1041i −1.52174 0.878580i −0.999670 0.0256802i \(-0.991825\pi\)
−0.522075 0.852900i \(-0.674842\pi\)
\(380\) 10.0628 3.90621i 0.516209 0.200384i
\(381\) −4.05041 7.01552i −0.207509 0.359416i
\(382\) −18.8543 −0.964668
\(383\) −13.0170 22.5461i −0.665137 1.15205i −0.979248 0.202665i \(-0.935040\pi\)
0.314111 0.949386i \(-0.398294\pi\)
\(384\) 0.866025 0.500000i 0.0441942 0.0255155i
\(385\) 3.50693 + 2.81809i 0.178730 + 0.143623i
\(386\) −8.94600 15.4949i −0.455340 0.788671i
\(387\) 4.58006 + 2.64430i 0.232817 + 0.134417i
\(388\) −0.963028 + 1.66801i −0.0488904 + 0.0846806i
\(389\) −6.23568 −0.316162 −0.158081 0.987426i \(-0.550531\pi\)
−0.158081 + 0.987426i \(0.550531\pi\)
\(390\) −5.09805 6.24579i −0.258150 0.316268i
\(391\) 13.2493 0.670045
\(392\) −2.33310 + 4.04106i −0.117840 + 0.204104i
\(393\) −2.01356 1.16253i −0.101571 0.0586419i
\(394\) 0.312928 + 0.542008i 0.0157651 + 0.0273060i
\(395\) 6.83007 8.49958i 0.343658 0.427660i
\(396\) −1.14057 + 0.658509i −0.0573158 + 0.0330913i
\(397\) 18.3498 + 31.7827i 0.920948 + 1.59513i 0.797951 + 0.602722i \(0.205917\pi\)
0.122997 + 0.992407i \(0.460750\pi\)
\(398\) −17.6811 −0.886275
\(399\) 3.68733 + 6.38665i 0.184597 + 0.319732i
\(400\) 4.76677 + 1.50928i 0.238338 + 0.0754640i
\(401\) 24.5044 + 14.1476i 1.22369 + 0.706498i 0.965703 0.259651i \(-0.0836074\pi\)
0.257987 + 0.966148i \(0.416941\pi\)
\(402\) 2.77257i 0.138283i
\(403\) 4.36116 + 3.92581i 0.217245 + 0.195559i
\(404\) −2.43859 −0.121324
\(405\) 0.809179 + 2.08452i 0.0402084 + 0.103581i
\(406\) 3.38286 5.85928i 0.167888 0.290791i
\(407\) −3.19697 + 1.84577i −0.158468 + 0.0914915i
\(408\) −1.56929 −0.0776914
\(409\) 13.2744 7.66400i 0.656379 0.378961i −0.134517 0.990911i \(-0.542948\pi\)
0.790896 + 0.611951i \(0.209615\pi\)
\(410\) 0.535898 3.46788i 0.0264661 0.171266i
\(411\) 12.2838i 0.605917i
\(412\) 10.7647 6.21501i 0.530339 0.306191i
\(413\) 13.8561 + 7.99982i 0.681814 + 0.393645i
\(414\) 7.31172 + 4.22143i 0.359352 + 0.207472i
\(415\) 8.95050 11.1383i 0.439363 0.546758i
\(416\) 3.52686 + 0.749192i 0.172918 + 0.0367322i
\(417\) 6.65721i 0.326005i
\(418\) 3.17887 5.50597i 0.155484 0.269306i
\(419\) −13.4692 + 23.3293i −0.658013 + 1.13971i 0.323116 + 0.946359i \(0.395270\pi\)
−0.981129 + 0.193353i \(0.938064\pi\)
\(420\) −0.521687 + 3.37591i −0.0254557 + 0.164728i
\(421\) 38.5359i 1.87812i 0.343747 + 0.939062i \(0.388304\pi\)
−0.343747 + 0.939062i \(0.611696\pi\)
\(422\) 8.62227 + 14.9342i 0.419725 + 0.726986i
\(423\) −2.47276 4.28295i −0.120230 0.208244i
\(424\) 13.9161i 0.675824i
\(425\) −5.29400 5.79140i −0.256797 0.280924i
\(426\) −7.41968 + 12.8513i −0.359484 + 0.622645i
\(427\) 3.80596 6.59212i 0.184183 0.319015i
\(428\) 10.4766i 0.506407i
\(429\) −4.64493 0.986699i −0.224259 0.0476383i
\(430\) −9.21818 7.40752i −0.444540 0.357222i
\(431\) 2.48744 + 1.43612i 0.119816 + 0.0691756i 0.558710 0.829363i \(-0.311296\pi\)
−0.438894 + 0.898539i \(0.644630\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 11.2344 6.48619i 0.539891 0.311706i −0.205144 0.978732i \(-0.565766\pi\)
0.745035 + 0.667026i \(0.232433\pi\)
\(434\) 2.48622i 0.119342i
\(435\) −1.51239 + 9.78686i −0.0725133 + 0.469244i
\(436\) −14.8782 + 8.58994i −0.712537 + 0.411383i
\(437\) −40.7568 −1.94966
\(438\) −5.18700 + 2.99472i −0.247845 + 0.143093i
\(439\) −1.02411 + 1.77380i −0.0488779 + 0.0846590i −0.889429 0.457073i \(-0.848898\pi\)
0.840551 + 0.541732i \(0.182231\pi\)
\(440\) 2.74535 1.06570i 0.130880 0.0508054i
\(441\) 4.66621 0.222200
\(442\) −4.20530 3.78551i −0.200026 0.180059i
\(443\) 25.7082i 1.22143i 0.791849 + 0.610717i \(0.209119\pi\)
−0.791849 + 0.610717i \(0.790881\pi\)
\(444\) −2.42743 1.40148i −0.115201 0.0665112i
\(445\) 38.4490 14.9253i 1.82266 0.707528i
\(446\) −2.44858 4.24107i −0.115944 0.200820i
\(447\) −3.01108 −0.142419
\(448\) −0.763837 1.32301i −0.0360879 0.0625061i
\(449\) −16.0756 + 9.28127i −0.758656 + 0.438010i −0.828813 0.559526i \(-0.810983\pi\)
0.0701571 + 0.997536i \(0.477650\pi\)
\(450\) −1.07631 4.88278i −0.0507377 0.230177i
\(451\) −1.03339 1.78989i −0.0486605 0.0842824i
\(452\) 2.25151 + 1.29991i 0.105902 + 0.0611427i
\(453\) −6.00745 + 10.4052i −0.282255 + 0.488880i
\(454\) −10.1513 −0.476426
\(455\) −9.54153 + 7.78817i −0.447314 + 0.365115i
\(456\) 4.82738 0.226063
\(457\) 12.3213 21.3412i 0.576368 0.998299i −0.419523 0.907745i \(-0.637803\pi\)
0.995891 0.0905546i \(-0.0288640\pi\)
\(458\) −13.3332 7.69794i −0.623020 0.359701i
\(459\) 0.784645 + 1.35904i 0.0366241 + 0.0634348i
\(460\) −14.7161 11.8256i −0.686144 0.551369i
\(461\) −27.5693 + 15.9171i −1.28403 + 0.741334i −0.977582 0.210554i \(-0.932473\pi\)
−0.306446 + 0.951888i \(0.599140\pi\)
\(462\) 1.00599 + 1.74242i 0.0468028 + 0.0810648i
\(463\) −3.18319 −0.147936 −0.0739678 0.997261i \(-0.523566\pi\)
−0.0739678 + 0.997261i \(0.523566\pi\)
\(464\) −2.21438 3.83543i −0.102800 0.178055i
\(465\) 1.31690 + 3.39246i 0.0610697 + 0.157321i
\(466\) −8.58772 4.95812i −0.397818 0.229680i
\(467\) 21.6747i 1.00298i −0.865162 0.501492i \(-0.832785\pi\)
0.865162 0.501492i \(-0.167215\pi\)
\(468\) −1.11461 3.42894i −0.0515228 0.158503i
\(469\) 4.23559 0.195581
\(470\) 4.00181 + 10.3090i 0.184590 + 0.475521i
\(471\) 1.50778 2.61155i 0.0694747 0.120334i
\(472\) 9.07005 5.23660i 0.417483 0.241034i
\(473\) −6.96517 −0.320259
\(474\) 4.22302 2.43816i 0.193970 0.111988i
\(475\) 16.2852 + 17.8152i 0.747215 + 0.817419i
\(476\) 2.39736i 0.109883i
\(477\) −12.0517 + 6.95804i −0.551808 + 0.318587i
\(478\) −8.19404 4.73083i −0.374787 0.216383i
\(479\) −25.3765 14.6511i −1.15948 0.669426i −0.208300 0.978065i \(-0.566793\pi\)
−0.951179 + 0.308639i \(0.900127\pi\)
\(480\) 1.74303 + 1.40066i 0.0795581 + 0.0639310i
\(481\) −3.12420 9.61118i −0.142451 0.438232i
\(482\) 13.1038i 0.596861i
\(483\) 6.44897 11.1699i 0.293438 0.508250i
\(484\) −4.63273 + 8.02413i −0.210579 + 0.364733i
\(485\) −4.25627 0.657731i −0.193267 0.0298660i
\(486\) 1.00000i 0.0453609i
\(487\) 21.2643 + 36.8309i 0.963579 + 1.66897i 0.713385 + 0.700772i \(0.247161\pi\)
0.250194 + 0.968196i \(0.419506\pi\)
\(488\) −2.49134 4.31513i −0.112778 0.195337i
\(489\) 9.91624i 0.448428i
\(490\) −10.3116 1.59347i −0.465829 0.0719856i
\(491\) 6.32521 10.9556i 0.285453 0.494418i −0.687266 0.726406i \(-0.741189\pi\)
0.972719 + 0.231987i \(0.0745228\pi\)
\(492\) 0.784645 1.35904i 0.0353745 0.0612705i
\(493\) 6.95002i 0.313013i
\(494\) 12.9362 + 11.6448i 0.582026 + 0.523925i
\(495\) −2.29560 1.84469i −0.103180 0.0829128i
\(496\) −1.40941 0.813725i −0.0632845 0.0365373i
\(497\) 19.6325 + 11.3349i 0.880640 + 0.508438i
\(498\) 5.53408 3.19510i 0.247988 0.143176i
\(499\) 4.54007i 0.203242i 0.994823 + 0.101621i \(0.0324028\pi\)
−0.994823 + 0.101621i \(0.967597\pi\)
\(500\) 0.711042 + 11.1577i 0.0317988 + 0.498988i
\(501\) 11.2492 6.49472i 0.502576 0.290163i
\(502\) 23.1644 1.03388
\(503\) 17.2476 9.95791i 0.769033 0.444001i −0.0634967 0.997982i \(-0.520225\pi\)
0.832529 + 0.553981i \(0.186892\pi\)
\(504\) −0.763837 + 1.32301i −0.0340240 + 0.0589313i
\(505\) −1.97325 5.08328i −0.0878086 0.226203i
\(506\) −11.1194 −0.494317
\(507\) 5.28458 11.8774i 0.234697 0.527495i
\(508\) 8.10083i 0.359416i
\(509\) −9.09532 5.25118i −0.403143 0.232755i 0.284696 0.958618i \(-0.408107\pi\)
−0.687839 + 0.725863i \(0.741441\pi\)
\(510\) −1.26984 3.27122i −0.0562293 0.144852i
\(511\) 4.57496 + 7.92406i 0.202384 + 0.350540i
\(512\) −1.00000 −0.0441942
\(513\) −2.41369 4.18063i −0.106567 0.184579i
\(514\) −3.32895 + 1.92197i −0.146834 + 0.0847746i
\(515\) 21.6659 + 17.4102i 0.954713 + 0.767185i
\(516\) −2.64430 4.58006i −0.116409 0.201626i
\(517\) 5.64072 + 3.25667i 0.248078 + 0.143228i
\(518\) −2.14100 + 3.70833i −0.0940703 + 0.162934i
\(519\) −3.87696 −0.170180
\(520\) 1.29215 + 7.95804i 0.0566646 + 0.348983i
\(521\) −24.5221 −1.07433 −0.537166 0.843477i \(-0.680505\pi\)
−0.537166 + 0.843477i \(0.680505\pi\)
\(522\) −2.21438 + 3.83543i −0.0969210 + 0.167872i
\(523\) −21.6924 12.5241i −0.948541 0.547641i −0.0559138 0.998436i \(-0.517807\pi\)
−0.892627 + 0.450795i \(0.851141\pi\)
\(524\) 1.16253 + 2.01356i 0.0507853 + 0.0879628i
\(525\) −7.45930 + 1.64425i −0.325551 + 0.0717610i
\(526\) 26.5060 15.3032i 1.15572 0.667253i
\(527\) 1.27697 + 2.21178i 0.0556257 + 0.0963466i
\(528\) 1.31702 0.0573158
\(529\) 24.1409 + 41.8132i 1.04960 + 1.81797i
\(530\) 29.0084 11.2606i 1.26004 0.489129i
\(531\) −9.07005 5.23660i −0.393607 0.227249i
\(532\) 7.37466i 0.319732i
\(533\) 5.38100 1.74914i 0.233077 0.0757638i
\(534\) 18.4450 0.798194
\(535\) 21.8387 8.47746i 0.944171 0.366513i
\(536\) 1.38628 2.40112i 0.0598784 0.103712i
\(537\) 12.2166 7.05325i 0.527185 0.304370i
\(538\) 18.0874 0.779803
\(539\) −5.32214 + 3.07274i −0.229241 + 0.132352i
\(540\) 0.341491 2.20984i 0.0146954 0.0950963i
\(541\) 20.6859i 0.889356i −0.895690 0.444678i \(-0.853318\pi\)
0.895690 0.444678i \(-0.146682\pi\)
\(542\) 12.2869 7.09382i 0.527765 0.304705i
\(543\) −22.6441 13.0736i −0.971753 0.561042i
\(544\) 1.35904 + 0.784645i 0.0582686 + 0.0336414i
\(545\) −29.9450 24.0631i −1.28270 1.03075i
\(546\) −5.23831 + 1.70276i −0.224179 + 0.0728714i
\(547\) 40.5960i 1.73576i −0.496773 0.867880i \(-0.665482\pi\)
0.496773 0.867880i \(-0.334518\pi\)
\(548\) −6.14192 + 10.6381i −0.262370 + 0.454438i
\(549\) −2.49134 + 4.31513i −0.106328 + 0.184165i
\(550\) 4.44296 + 4.86040i 0.189449 + 0.207248i
\(551\) 21.3793i 0.910790i
\(552\) −4.22143 7.31172i −0.179676 0.311208i
\(553\) −3.72472 6.45140i −0.158391 0.274342i
\(554\) 16.8419i 0.715545i
\(555\) 0.957185 6.19408i 0.0406302 0.262924i
\(556\) −3.32861 + 5.76531i −0.141164 + 0.244504i
\(557\) −20.6032 + 35.6858i −0.872985 + 1.51205i −0.0140907 + 0.999901i \(0.504485\pi\)
−0.858894 + 0.512153i \(0.828848\pi\)
\(558\) 1.62745i 0.0688955i
\(559\) 3.96217 18.6521i 0.167582 0.788900i
\(560\) 2.13975 2.66278i 0.0904210 0.112523i
\(561\) −1.78989 1.03339i −0.0755690 0.0436298i
\(562\) 7.46112 + 4.30768i 0.314728 + 0.181708i
\(563\) 13.0933 7.55940i 0.551815 0.318591i −0.198038 0.980194i \(-0.563457\pi\)
0.749854 + 0.661603i \(0.230124\pi\)
\(564\) 4.94552i 0.208244i
\(565\) −0.887817 + 5.74519i −0.0373507 + 0.241702i
\(566\) −23.9192 + 13.8098i −1.00540 + 0.580468i
\(567\) 1.52767 0.0641563
\(568\) 12.8513 7.41968i 0.539227 0.311323i
\(569\) −13.2995 + 23.0353i −0.557542 + 0.965692i 0.440159 + 0.897920i \(0.354922\pi\)
−0.997701 + 0.0677716i \(0.978411\pi\)
\(570\) 3.90621 + 10.0628i 0.163613 + 0.421483i
\(571\) 31.8452 1.33268 0.666340 0.745648i \(-0.267860\pi\)
0.666340 + 0.745648i \(0.267860\pi\)
\(572\) 3.52928 + 3.17697i 0.147567 + 0.132836i
\(573\) 18.8543i 0.787648i
\(574\) −2.07618 1.19868i −0.0866580 0.0500320i
\(575\) 12.7426 40.2451i 0.531404 1.67834i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) 1.20258 0.0500639 0.0250319 0.999687i \(-0.492031\pi\)
0.0250319 + 0.999687i \(0.492031\pi\)
\(578\) 7.26867 + 12.5897i 0.302337 + 0.523662i
\(579\) 15.4949 8.94600i 0.643947 0.371783i
\(580\) 6.20319 7.71948i 0.257574 0.320534i
\(581\) −4.88108 8.45427i −0.202501 0.350742i
\(582\) −1.66801 0.963028i −0.0691414 0.0399188i
\(583\) 9.16386 15.8723i 0.379528 0.657362i
\(584\) 5.98944 0.247845
\(585\) 6.24579 5.09805i 0.258231 0.210779i
\(586\) −30.2501 −1.24962
\(587\) 9.53243 16.5107i 0.393446 0.681468i −0.599456 0.800408i \(-0.704616\pi\)
0.992901 + 0.118940i \(0.0379496\pi\)
\(588\) −4.04106 2.33310i −0.166650 0.0962156i
\(589\) −3.92816 6.80377i −0.161857 0.280344i
\(590\) 18.2551 + 14.6694i 0.751550 + 0.603929i
\(591\) −0.542008 + 0.312928i −0.0222952 + 0.0128722i
\(592\) 1.40148 + 2.42743i 0.0576004 + 0.0997668i
\(593\) 11.8496 0.486606 0.243303 0.969950i \(-0.421769\pi\)
0.243303 + 0.969950i \(0.421769\pi\)
\(594\) −0.658509 1.14057i −0.0270189 0.0467982i
\(595\) −4.99736 + 1.93990i −0.204872 + 0.0795280i
\(596\) 2.60768 + 1.50554i 0.106815 + 0.0616694i
\(597\) 17.6811i 0.723641i
\(598\) 6.32532 29.7767i 0.258661 1.21766i
\(599\) 13.1277 0.536382 0.268191 0.963366i \(-0.413574\pi\)
0.268191 + 0.963366i \(0.413574\pi\)
\(600\) −1.50928 + 4.76677i −0.0616161 + 0.194602i
\(601\) 17.8125 30.8522i 0.726589 1.25849i −0.231728 0.972781i \(-0.574438\pi\)
0.958317 0.285708i \(-0.0922288\pi\)
\(602\) −6.99684 + 4.03963i −0.285170 + 0.164643i
\(603\) −2.77257 −0.112908
\(604\) 10.4052 6.00745i 0.423382 0.244440i
\(605\) −20.4752 3.16407i −0.832434 0.128638i
\(606\) 2.43859i 0.0990608i
\(607\) 4.20075 2.42530i 0.170503 0.0984400i −0.412320 0.911039i \(-0.635281\pi\)
0.582823 + 0.812599i \(0.301948\pi\)
\(608\) −4.18063 2.41369i −0.169547 0.0978880i
\(609\) 5.85928 + 3.38286i 0.237430 + 0.137080i
\(610\) 6.97904 8.68497i 0.282573 0.351644i
\(611\) −11.9298 + 13.2528i −0.482629 + 0.536149i
\(612\) 1.56929i 0.0634348i
\(613\) −11.7172 + 20.2948i −0.473253 + 0.819698i −0.999531 0.0306146i \(-0.990254\pi\)
0.526279 + 0.850312i \(0.323587\pi\)
\(614\) −7.06959 + 12.2449i −0.285306 + 0.494164i
\(615\) 3.46788 + 0.535898i 0.139838 + 0.0216095i
\(616\) 2.01198i 0.0810648i
\(617\) 7.01830 + 12.1560i 0.282546 + 0.489384i 0.972011 0.234935i \(-0.0754877\pi\)
−0.689465 + 0.724319i \(0.742154\pi\)
\(618\) 6.21501 + 10.7647i 0.250004 + 0.433020i
\(619\) 16.1470i 0.649002i −0.945885 0.324501i \(-0.894804\pi\)
0.945885 0.324501i \(-0.105196\pi\)
\(620\) 0.555760 3.59640i 0.0223199 0.144435i
\(621\) −4.22143 + 7.31172i −0.169400 + 0.293409i
\(622\) −4.98713 + 8.63797i −0.199966 + 0.346351i
\(623\) 28.1780i 1.12893i
\(624\) −0.749192 + 3.52686i −0.0299917 + 0.141187i
\(625\) −22.6831 + 10.5108i −0.907325 + 0.420431i
\(626\) −2.67134 1.54230i −0.106768 0.0616428i
\(627\) 5.50597 + 3.17887i 0.219887 + 0.126952i
\(628\) −2.61155 + 1.50778i −0.104212 + 0.0601669i
\(629\) 4.39865i 0.175386i
\(630\) −3.37591 0.521687i −0.134500 0.0207845i
\(631\) 16.3611 9.44608i 0.651325 0.376043i −0.137639 0.990483i \(-0.543951\pi\)
0.788964 + 0.614440i \(0.210618\pi\)
\(632\) −4.87632 −0.193970
\(633\) −14.9342 + 8.62227i −0.593581 + 0.342704i
\(634\) 7.14899 12.3824i 0.283922 0.491768i
\(635\) −16.8863 + 6.55502i −0.670114 + 0.260128i
\(636\) 13.9161 0.551808
\(637\) −5.20100 16.0002i −0.206071 0.633950i
\(638\) 5.83277i 0.230921i
\(639\) −12.8513 7.41968i −0.508388 0.293518i
\(640\) −0.809179 2.08452i −0.0319856 0.0823979i
\(641\) 3.57648 + 6.19465i 0.141262 + 0.244674i 0.927972 0.372649i \(-0.121551\pi\)
−0.786710 + 0.617323i \(0.788217\pi\)
\(642\) 10.4766 0.413479
\(643\) −19.9623 34.5756i −0.787235 1.36353i −0.927655 0.373438i \(-0.878179\pi\)
0.140420 0.990092i \(-0.455155\pi\)
\(644\) −11.1699 + 6.44897i −0.440157 + 0.254125i
\(645\) 7.40752 9.21818i 0.291671 0.362966i
\(646\) 3.78778 + 6.56062i 0.149028 + 0.258124i
\(647\) −12.0656 6.96608i −0.474348 0.273865i 0.243710 0.969848i \(-0.421635\pi\)
−0.718058 + 0.695983i \(0.754969\pi\)
\(648\) 0.500000 0.866025i 0.0196419 0.0340207i
\(649\) 13.7934 0.541438
\(650\) −15.5431 + 9.13299i −0.609651 + 0.358225i
\(651\) 2.48622 0.0974425
\(652\) 4.95812 8.58772i 0.194175 0.336321i
\(653\) 25.7670 + 14.8766i 1.00834 + 0.582165i 0.910705 0.413058i \(-0.135539\pi\)
0.0976340 + 0.995222i \(0.468873\pi\)
\(654\) −8.58994 14.8782i −0.335893 0.581784i
\(655\) −3.25662 + 4.05265i −0.127246 + 0.158350i
\(656\) −1.35904 + 0.784645i −0.0530618 + 0.0306352i
\(657\) −2.99472 5.18700i −0.116835 0.202364i
\(658\) 7.55515 0.294530
\(659\) −14.6318 25.3431i −0.569975 0.987226i −0.996568 0.0827819i \(-0.973620\pi\)
0.426593 0.904444i \(-0.359714\pi\)
\(660\) 1.06570 + 2.74535i 0.0414824 + 0.106863i
\(661\) −30.0903 17.3726i −1.17038 0.675717i −0.216608 0.976259i \(-0.569499\pi\)
−0.953769 + 0.300541i \(0.902833\pi\)
\(662\) 11.4202i 0.443858i
\(663\) 3.78551 4.20530i 0.147017 0.163320i
\(664\) −6.39020 −0.247988
\(665\) 15.3726 5.96742i 0.596125 0.231407i
\(666\) 1.40148 2.42743i 0.0543062 0.0940611i
\(667\) −32.3819 + 18.6957i −1.25383 + 0.723901i
\(668\) −12.9894 −0.502576
\(669\) 4.24107 2.44858i 0.163969 0.0946676i
\(670\) 6.12693 + 0.946808i 0.236704 + 0.0365784i
\(671\) 6.56228i 0.253334i
\(672\) 1.32301 0.763837i 0.0510360 0.0294657i
\(673\) 28.1953 + 16.2786i 1.08685 + 0.627492i 0.932736 0.360561i \(-0.117415\pi\)
0.154113 + 0.988053i \(0.450748\pi\)
\(674\) 4.79092 + 2.76604i 0.184539 + 0.106544i
\(675\) 4.88278 1.07631i 0.187938 0.0414272i
\(676\) −10.5153 + 7.64386i −0.404434 + 0.293995i
\(677\) 32.2002i 1.23756i 0.785566 + 0.618778i \(0.212372\pi\)
−0.785566 + 0.618778i \(0.787628\pi\)
\(678\) −1.29991 + 2.25151i −0.0499228 + 0.0864689i
\(679\) −1.47119 + 2.54818i −0.0564593 + 0.0977903i
\(680\) −0.535898 + 3.46788i −0.0205508 + 0.132987i
\(681\) 10.1513i 0.389000i
\(682\) −1.07169 1.85622i −0.0410372 0.0710784i
\(683\) −3.19280 5.53009i −0.122169 0.211603i 0.798454 0.602056i \(-0.205652\pi\)
−0.920623 + 0.390453i \(0.872318\pi\)
\(684\) 4.82738i 0.184579i
\(685\) −27.1453 4.19482i −1.03717 0.160276i
\(686\) −8.91109 + 15.4345i −0.340227 + 0.589290i
\(687\) 7.69794 13.3332i 0.293695 0.508694i
\(688\) 5.28860i 0.201626i
\(689\) 37.2916 + 33.5690i 1.42070 + 1.27888i
\(690\) 11.8256 14.7161i 0.450191 0.560234i
\(691\) 13.6788 + 7.89748i 0.520368 + 0.300434i 0.737085 0.675800i \(-0.236202\pi\)
−0.216717 + 0.976234i \(0.569535\pi\)
\(692\) 3.35755 + 1.93848i 0.127635 + 0.0736900i
\(693\) −1.74242 + 1.00599i −0.0661891 + 0.0382143i
\(694\) 2.82008i 0.107049i
\(695\) −14.7114 2.27338i −0.558034 0.0862342i
\(696\) 3.83543 2.21438i 0.145381 0.0839360i
\(697\) 2.46267 0.0932803
\(698\) 23.0704 13.3197i 0.873226 0.504157i
\(699\) 4.95812 8.58772i 0.187533 0.324817i
\(700\) 7.28207 + 2.30569i 0.275236 + 0.0871469i
\(701\) −43.7481 −1.65234 −0.826171 0.563420i \(-0.809485\pi\)
−0.826171 + 0.563420i \(0.809485\pi\)
\(702\) 3.42894 1.11461i 0.129417 0.0420682i
\(703\) 13.5309i 0.510329i
\(704\) −1.14057 0.658509i −0.0429869 0.0248185i
\(705\) −10.3090 + 4.00181i −0.388261 + 0.150717i
\(706\) −6.61308 11.4542i −0.248886 0.431084i
\(707\) −3.72537 −0.140107
\(708\) 5.23660 + 9.07005i 0.196803 + 0.340873i
\(709\) −30.0167 + 17.3302i −1.12730 + 0.650848i −0.943255 0.332070i \(-0.892253\pi\)
−0.184046 + 0.982918i \(0.558920\pi\)
\(710\) 25.8654 + 20.7849i 0.970713 + 0.780042i
\(711\) 2.43816 + 4.22302i 0.0914382 + 0.158376i
\(712\) −15.9738 9.22251i −0.598645 0.345628i
\(713\) −6.87016 + 11.8995i −0.257290 + 0.445639i
\(714\) −2.39736 −0.0897191
\(715\) −3.76665 + 9.92760i −0.140865 + 0.371271i
\(716\) −14.1065 −0.527185
\(717\) 4.73083 8.19404i 0.176676 0.306012i
\(718\) 10.7237 + 6.19133i 0.400205 + 0.231058i
\(719\) −21.9251 37.9755i −0.817670 1.41625i −0.907395 0.420279i \(-0.861932\pi\)
0.0897253 0.995967i \(-0.471401\pi\)
\(720\) −1.40066 + 1.74303i −0.0521995 + 0.0649589i
\(721\) 16.4450 9.49451i 0.612443 0.353594i
\(722\) −2.15178 3.72700i −0.0800811 0.138704i
\(723\) 13.1038 0.487335
\(724\) 13.0736 + 22.6441i 0.485876 + 0.841563i
\(725\) 21.1109 + 6.68425i 0.784040 + 0.248247i
\(726\) −8.02413 4.63273i −0.297803 0.171937i
\(727\) 17.2599i 0.640136i 0.947395 + 0.320068i \(0.103706\pi\)
−0.947395 + 0.320068i \(0.896294\pi\)
\(728\) 5.38789 + 1.14452i 0.199688 + 0.0424188i
\(729\) −1.00000 −0.0370370
\(730\) 4.84653 + 12.4851i 0.179378 + 0.462095i
\(731\) 4.14967 7.18744i 0.153481 0.265837i
\(732\) 4.31513 2.49134i 0.159492 0.0920826i
\(733\) 0.304799 0.0112580 0.00562900 0.999984i \(-0.498208\pi\)
0.00562900 + 0.999984i \(0.498208\pi\)
\(734\) 6.14226 3.54624i 0.226715 0.130894i
\(735\) 1.59347 10.3116i 0.0587760 0.380348i
\(736\) 8.44285i 0.311208i
\(737\) 3.16231 1.82576i 0.116485 0.0672528i
\(738\) 1.35904 + 0.784645i 0.0500271 + 0.0288832i
\(739\) 3.14941 + 1.81831i 0.115853 + 0.0668877i 0.556807 0.830642i \(-0.312026\pi\)
−0.440954 + 0.897530i \(0.645360\pi\)
\(740\) −3.92599 + 4.88564i −0.144322 + 0.179600i
\(741\) −11.6448 + 12.9362i −0.427783 + 0.475222i
\(742\) 21.2592i 0.780451i
\(743\) −15.1150 + 26.1800i −0.554517 + 0.960451i 0.443424 + 0.896312i \(0.353764\pi\)
−0.997941 + 0.0641394i \(0.979570\pi\)
\(744\) 0.813725 1.40941i 0.0298326 0.0516716i
\(745\) −1.02826 + 6.65401i −0.0376725 + 0.243784i
\(746\) 36.9803i 1.35395i
\(747\) 3.19510 + 5.53408i 0.116903 + 0.202481i
\(748\) 1.03339 + 1.78989i 0.0377845 + 0.0654447i
\(749\) 16.0049i 0.584805i
\(750\) −11.1577 + 0.711042i −0.407422 + 0.0259636i
\(751\) −0.00159080 + 0.00275535i −5.80493e−5 + 0.000100544i −0.866054 0.499950i \(-0.833352\pi\)
0.865996 + 0.500050i \(0.166685\pi\)
\(752\) 2.47276 4.28295i 0.0901723 0.156183i
\(753\) 23.1644i 0.844158i
\(754\) 15.6196 + 3.31800i 0.568833 + 0.120834i
\(755\) 20.9423 + 16.8288i 0.762170 + 0.612462i
\(756\) −1.32301 0.763837i −0.0481172 0.0277805i
\(757\) −36.4328 21.0345i −1.32417 0.764512i −0.339782 0.940504i \(-0.610353\pi\)
−0.984392 + 0.175992i \(0.943687\pi\)
\(758\) −29.6252 + 17.1041i −1.07604 + 0.621250i
\(759\) 11.1194i 0.403608i
\(760\) 1.64851 10.6677i 0.0597976 0.386959i
\(761\) 21.1489 12.2103i 0.766646 0.442623i −0.0650310 0.997883i \(-0.520715\pi\)
0.831677 + 0.555260i \(0.187381\pi\)
\(762\) −8.10083 −0.293462
\(763\) −22.7291 + 13.1226i −0.822847 + 0.475071i
\(764\) −9.42713 + 16.3283i −0.341062 + 0.590736i
\(765\) 3.27122 1.26984i 0.118271 0.0459110i
\(766\) −26.0340 −0.940646
\(767\) −7.84643 + 36.9374i −0.283318 + 1.33373i
\(768\) 1.00000i 0.0360844i
\(769\) −28.1198 16.2350i −1.01403 0.585449i −0.101659 0.994819i \(-0.532415\pi\)
−0.912368 + 0.409370i \(0.865748\pi\)
\(770\) 4.19401 1.62805i 0.151141 0.0586708i
\(771\) −1.92197 3.32895i −0.0692182 0.119889i
\(772\) −17.8920 −0.643947
\(773\) 4.13819 + 7.16756i 0.148840 + 0.257799i 0.930799 0.365531i \(-0.119113\pi\)
−0.781959 + 0.623330i \(0.785779\pi\)
\(774\) 4.58006 2.64430i