Properties

Label 390.2.x.a.49.2
Level $390$
Weight $2$
Character 390.49
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: \( x^{12} - 2 x^{11} - 8 x^{10} + 34 x^{9} + 8 x^{8} - 134 x^{7} + 98 x^{6} + 154 x^{5} + 104 x^{4} + 190 x^{3} - 1196 x^{2} - 338 x + 2197 \) Copy content Toggle raw display
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 49.2
Root \(1.75374 + 1.62986i\) of defining polynomial
Character \(\chi\) \(=\) 390.49
Dual form 390.2.x.a.199.2

$q$-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} +(2.20984 + 0.341491i) q^{10} +(-1.14057 + 0.658509i) q^{11} -1.00000i q^{12} +(-2.41225 - 2.67975i) q^{13} -1.52767 q^{14} +(0.341491 - 2.20984i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.35904 - 0.784645i) q^{17} -1.00000 q^{18} +(-4.18063 - 2.41369i) q^{19} +(-0.809179 - 2.08452i) 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} +(-2.08452 + 0.809179i) q^{30} -1.62745i q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.658509 - 1.14057i) q^{33} +1.56929i q^{34} +(1.23616 + 3.18447i) 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} +(0.809179 + 2.08452i) q^{45} +(7.31172 + 4.22143i) q^{46} +4.94552 q^{47} +(0.866025 + 0.500000i) q^{48} +(2.33310 + 4.04106i) q^{49} +(-3.69046 + 3.37350i) q^{50} +1.56929 q^{51} +(3.52686 - 0.749192i) q^{52} +13.9161i q^{53} +(0.866025 - 0.500000i) q^{54} +(0.449750 - 2.91040i) 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} +(8.04962 - 0.451203i) 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} +(3.37350 + 3.69046i) q^{75} +(4.18063 - 2.41369i) q^{76} +2.01198i q^{77} +(-0.749192 - 3.52686i) q^{78} +4.87632 q^{79} +(2.20984 + 0.341491i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-1.35904 - 0.784645i) q^{82} -6.39020 q^{83} +(-1.32301 - 0.763837i) q^{84} +(3.27122 - 1.26984i) 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} +(10.0628 - 3.90621i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 6 q^{2} - 6 q^{4} - 2 q^{5} - 2 q^{7} + 12 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 6 q^{2} - 6 q^{4} - 2 q^{5} - 2 q^{7} + 12 q^{8} + 6 q^{9} - 2 q^{10} + 6 q^{11} - 8 q^{13} + 4 q^{14} + 6 q^{15} - 6 q^{16} + 18 q^{17} - 12 q^{18} - 6 q^{19} + 4 q^{20} - 6 q^{22} + 6 q^{23} - 10 q^{25} - 2 q^{26} - 2 q^{28} + 14 q^{29} - 6 q^{30} - 6 q^{32} + 6 q^{33} + 26 q^{35} + 6 q^{36} - 12 q^{37} - 2 q^{39} - 2 q^{40} - 18 q^{41} - 12 q^{42} - 36 q^{43} - 4 q^{45} - 6 q^{46} + 16 q^{47} + 8 q^{49} - 10 q^{50} + 16 q^{51} + 10 q^{52} - 28 q^{55} - 2 q^{56} - 8 q^{57} + 14 q^{58} - 36 q^{59} + 10 q^{61} + 6 q^{62} + 2 q^{63} + 12 q^{64} + 6 q^{65} - 12 q^{66} + 4 q^{67} - 18 q^{68} + 16 q^{69} - 4 q^{70} - 12 q^{71} + 6 q^{72} + 28 q^{73} - 12 q^{74} - 8 q^{75} + 6 q^{76} - 2 q^{78} + 4 q^{79} - 2 q^{80} - 6 q^{81} + 18 q^{82} + 72 q^{83} + 12 q^{84} + 18 q^{85} + 6 q^{87} + 6 q^{88} + 18 q^{89} + 2 q^{90} + 2 q^{91} - 16 q^{93} - 8 q^{94} - 42 q^{95} - 48 q^{97} + 8 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −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 \(-0.740109\pi\)
0.973501 + 0.228685i \(0.0734425\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 2.20984 + 0.341491i 0.698812 + 0.107989i
\(11\) −1.14057 + 0.658509i −0.343895 + 0.198548i −0.661993 0.749510i \(-0.730289\pi\)
0.318098 + 0.948058i \(0.396956\pi\)
\(12\) 1.00000i 0.288675i
\(13\) −2.41225 2.67975i −0.669037 0.743229i
\(14\) −1.52767 −0.408288
\(15\) 0.341491 2.20984i 0.0881726 0.570578i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.35904 0.784645i −0.329617 0.190304i 0.326054 0.945351i \(-0.394281\pi\)
−0.655671 + 0.755047i \(0.727614\pi\)
\(18\) −1.00000 −0.235702
\(19\) −4.18063 2.41369i −0.959103 0.553738i −0.0632058 0.998001i \(-0.520132\pi\)
−0.895897 + 0.444262i \(0.853466\pi\)
\(20\) −0.809179 2.08452i −0.180938 0.466113i
\(21\) 1.52767i 0.333366i
\(22\) 1.14057 + 0.658509i 0.243171 + 0.140395i
\(23\) −7.31172 + 4.22143i −1.52460 + 0.880228i −0.525025 + 0.851087i \(0.675944\pi\)
−0.999575 + 0.0291412i \(0.990723\pi\)
\(24\) −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 0.583821 0.811883i \(-0.301557\pi\)
−0.995021 + 0.0996620i \(0.968224\pi\)
\(30\) −2.08452 + 0.809179i −0.380580 + 0.147735i
\(31\) 1.62745i 0.292299i −0.989263 0.146149i \(-0.953312\pi\)
0.989263 0.146149i \(-0.0466880\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 0.658509 1.14057i 0.114632 0.198548i
\(34\) 1.56929i 0.269131i
\(35\) 1.23616 + 3.18447i 0.208950 + 0.538274i
\(36\) 0.500000 + 0.866025i 0.0833333 + 0.144338i
\(37\) −1.40148 2.42743i −0.230402 0.399067i 0.727525 0.686081i \(-0.240671\pi\)
−0.957926 + 0.287014i \(0.907337\pi\)
\(38\) 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 −0.390108 0.920769i \(-0.627562\pi\)
0.602355 + 0.798228i \(0.294229\pi\)
\(42\) 1.32301 0.763837i 0.204144 0.117863i
\(43\) −4.58006 2.64430i −0.698452 0.403252i 0.108318 0.994116i \(-0.465453\pi\)
−0.806771 + 0.590865i \(0.798787\pi\)
\(44\) 1.31702i 0.198548i
\(45\) 0.809179 + 2.08452i 0.120625 + 0.310742i
\(46\) 7.31172 + 4.22143i 1.07805 + 0.622415i
\(47\) 4.94552 0.721378 0.360689 0.932686i \(-0.382542\pi\)
0.360689 + 0.932686i \(0.382542\pi\)
\(48\) 0.866025 + 0.500000i 0.125000 + 0.0721688i
\(49\) 2.33310 + 4.04106i 0.333301 + 0.577294i
\(50\) −3.69046 + 3.37350i −0.521910 + 0.477085i
\(51\) 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
\(55\) 0.449750 2.91040i 0.0606443 0.392438i
\(56\) 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 −0.224616 0.974447i \(-0.572113\pi\)
−0.956204 + 0.292700i \(0.905446\pi\)
\(60\) 1.74303 + 1.40066i 0.225024 + 0.180824i
\(61\) 2.49134 4.31513i 0.318984 0.552496i −0.661293 0.750128i \(-0.729992\pi\)
0.980276 + 0.197632i \(0.0633252\pi\)
\(62\) −1.40941 + 0.813725i −0.178996 + 0.103343i
\(63\) −0.763837 1.32301i −0.0962345 0.166683i
\(64\) 1.00000 0.125000
\(65\) 8.04962 0.451203i 0.998433 0.0559648i
\(66\) −1.31702 −0.162114
\(67\) 1.38628 + 2.40112i 0.169362 + 0.293343i 0.938196 0.346105i \(-0.112496\pi\)
−0.768834 + 0.639448i \(0.779163\pi\)
\(68\) 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 −0.999555 0.0298269i \(-0.990504\pi\)
−0.525608 0.850727i \(-0.676162\pi\)
\(72\) 0.500000 0.866025i 0.0589256 0.102062i
\(73\) 5.98944 0.701011 0.350505 0.936561i \(-0.386010\pi\)
0.350505 + 0.936561i \(0.386010\pi\)
\(74\) −1.40148 + 2.42743i −0.162919 + 0.282183i
\(75\) 3.37350 + 3.69046i 0.389538 + 0.426137i
\(76\) 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 \(0.411549\pi\)
\(80\) 2.20984 + 0.341491i 0.247067 + 0.0381799i
\(81\) −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 \(-0.614059\pi\)
−0.350708 + 0.936485i \(0.614059\pi\)
\(84\) −1.32301 0.763837i −0.144352 0.0833415i
\(85\) 3.27122 1.26984i 0.354813 0.137733i
\(86\) 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 0.741338 0.671131i \(-0.234191\pi\)
0.951886 0.306452i \(-0.0991419\pi\)
\(90\) 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
\(95\) 10.0628 3.90621i 1.03242 0.400769i
\(96\) 1.00000i 0.102062i
\(97\) 0.963028 1.66801i 0.0977807 0.169361i −0.812985 0.582285i \(-0.802159\pi\)
0.910766 + 0.412923i \(0.135492\pi\)
\(98\) 2.33310 4.04106i 0.235679 0.408208i
\(99\) 1.31702i 0.132365i
\(100\) 4.76677 + 1.50928i 0.476677 + 0.150928i
\(101\) 1.21929 + 2.11188i 0.121324 + 0.210140i 0.920290 0.391237i \(-0.127953\pi\)
−0.798966 + 0.601376i \(0.794619\pi\)
\(102\) −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 \(-0.835693\pi\)
−0.00741349 + 0.999973i \(0.502360\pi\)
\(108\) −0.866025 0.500000i −0.0833333 0.0481125i
\(109\) 17.1799i 1.64553i 0.568379 + 0.822767i \(0.307571\pi\)
−0.568379 + 0.822767i \(0.692429\pi\)
\(110\) −2.74535 + 1.06570i −0.261759 + 0.101611i
\(111\) 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 \(-0.294311\pi\)
−0.390345 + 0.920669i \(0.627644\pi\)
\(114\) −2.41369 4.18063i −0.226063 0.391552i
\(115\) 2.88316 18.6573i 0.268856 1.73981i
\(116\) 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
\(120\) 0.341491 2.20984i 0.0311737 0.201730i
\(121\) −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 \(-0.549643\pi\)
0.777852 + 0.628447i \(0.216309\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 5.28860 0.465635
\(130\) −4.41556 6.74558i −0.387271 0.591626i
\(131\) −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 −0.474845 0.880069i \(-0.657496\pi\)
0.999585 0.0288066i \(-0.00917069\pi\)
\(138\) −8.44285 −0.718703
\(139\) −3.32861 + 5.76531i −0.282329 + 0.489008i −0.971958 0.235155i \(-0.924440\pi\)
0.689629 + 0.724163i \(0.257774\pi\)
\(140\) −3.37591 0.521687i −0.285317 0.0440906i
\(141\) −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
\(145\) 9.78686 + 1.51239i 0.812755 + 0.125597i
\(146\) −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 0.389368 0.921082i \(-0.372694\pi\)
−0.602997 + 0.797744i \(0.706027\pi\)
\(150\) 1.50928 4.76677i 0.123232 0.389205i
\(151\) 12.0149i 0.977759i −0.872351 0.488880i \(-0.837406\pi\)
0.872351 0.488880i \(-0.162594\pi\)
\(152\) −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
\(160\) −0.809179 2.08452i −0.0639712 0.164796i
\(161\) 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 \(-0.960288\pi\)
0.603878 + 0.797077i \(0.293621\pi\)
\(164\) 1.56929i 0.122541i
\(165\) 1.06570 + 2.74535i 0.0829649 + 0.213725i
\(166\) 3.19510 + 5.53408i 0.247988 + 0.429528i
\(167\) −6.49472 11.2492i −0.502576 0.870488i −0.999996 0.00297754i \(-0.999052\pi\)
0.497419 0.867510i \(-0.334281\pi\)
\(168\) 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 \(-0.286249\pi\)
−0.366905 + 0.930258i \(0.619583\pi\)
\(174\) 4.42877i 0.335744i
\(175\) −7.28207 2.30569i −0.550473 0.174294i
\(176\) 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 0.999498 + 0.0316802i \(0.0100858\pi\)
−0.472313 + 0.881431i \(0.656581\pi\)
\(180\) −2.20984 0.341491i −0.164712 0.0254532i
\(181\) −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
\(185\) 6.19408 + 0.957185i 0.455398 + 0.0703736i
\(186\) 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 0.292208 + 0.956355i \(0.405610\pi\)
−0.974332 + 0.225117i \(0.927723\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) −8.94600 15.4949i −0.643947 1.11535i −0.984544 0.175140i \(-0.943962\pi\)
0.340596 0.940210i \(-0.389371\pi\)
\(194\) −1.92606 −0.138283
\(195\) −6.74558 + 4.41556i −0.483061 + 0.316205i
\(196\) −4.66621 −0.333301
\(197\) 0.312928 + 0.542008i 0.0222952 + 0.0386165i 0.876958 0.480567i \(-0.159569\pi\)
−0.854663 + 0.519184i \(0.826236\pi\)
\(198\) 1.14057 0.658509i 0.0810568 0.0467982i
\(199\) −8.84057 + 15.3123i −0.626691 + 1.08546i 0.361520 + 0.932364i \(0.382258\pi\)
−0.988211 + 0.153097i \(0.951075\pi\)
\(200\) −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
\(205\) −0.535898 + 3.46788i −0.0374288 + 0.242207i
\(206\) 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
\(210\) −0.521687 + 3.37591i −0.0359999 + 0.232960i
\(211\) −8.62227 14.9342i −0.593581 1.02811i −0.993745 0.111669i \(-0.964380\pi\)
0.400164 0.916443i \(-0.368953\pi\)
\(212\) −12.0517 6.95804i −0.827712 0.477880i
\(213\) 14.8394 1.01678
\(214\) 9.07302 + 5.23831i 0.620219 + 0.358083i
\(215\) 11.0242 4.27942i 0.751844 0.291854i
\(216\) 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 \(-0.219096\pi\)
−0.936289 + 0.351231i \(0.885763\pi\)
\(224\) 0.763837 + 1.32301i 0.0510360 + 0.0883970i
\(225\) −4.76677 1.50928i −0.317785 0.100619i
\(226\) 2.59982i 0.172938i
\(227\) 5.07567 8.79132i 0.336884 0.583500i −0.646961 0.762523i \(-0.723960\pi\)
0.983845 + 0.179023i \(0.0572936\pi\)
\(228\) −2.41369 + 4.18063i −0.159850 + 0.276869i
\(229\) 15.3959i 1.01739i 0.860947 + 0.508694i \(0.169871\pi\)
−0.860947 + 0.508694i \(0.830129\pi\)
\(230\) −17.5993 + 6.83178i −1.16046 + 0.450474i
\(231\) −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 \(0.0989948\pi\)
−0.952028 + 0.306012i \(0.901005\pi\)
\(240\) −2.08452 + 0.809179i −0.134555 + 0.0522323i
\(241\) 11.3482 + 6.55189i 0.731002 + 0.422044i 0.818789 0.574095i \(-0.194646\pi\)
−0.0877865 + 0.996139i \(0.527979\pi\)
\(242\) 9.26546 0.595607
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) 2.49134 + 4.31513i 0.159492 + 0.276248i
\(245\) −10.3116 1.59347i −0.658782 0.101803i
\(246\) 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
\(250\) −0.711042 11.1577i −0.0449702 0.705675i
\(251\) 11.5822 20.0610i 0.731062 1.26624i −0.225367 0.974274i \(-0.572358\pi\)
0.956430 0.291963i \(-0.0943085\pi\)
\(252\) 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 \(-0.628413\pi\)
0.600221 + 0.799834i \(0.295079\pi\)
\(258\) −2.64430 4.58006i −0.164627 0.285142i
\(259\) −4.28201 −0.266071
\(260\) −3.63406 + 7.19678i −0.225375 + 0.446325i
\(261\) −4.42877 −0.274134
\(262\) 1.16253 + 2.01356i 0.0718213 + 0.124398i
\(263\) −26.5060 + 15.3032i −1.63443 + 0.943638i −0.651726 + 0.758455i \(0.725955\pi\)
−0.982704 + 0.185184i \(0.940712\pi\)
\(264\) 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 −0.446769 0.894649i \(-0.647426\pi\)
0.998174 0.0604109i \(-0.0192411\pi\)
\(270\) −0.341491 + 2.20984i −0.0207825 + 0.134486i
\(271\) 12.2869 7.09382i 0.746373 0.430919i −0.0780089 0.996953i \(-0.524856\pi\)
0.824382 + 0.566034i \(0.191523\pi\)
\(272\) 1.56929i 0.0951521i
\(273\) 4.09379 3.68513i 0.247767 0.223034i
\(274\) −12.2838 −0.742094
\(275\) 4.44296 + 4.86040i 0.267921 + 0.293093i
\(276\) 4.22143 + 7.31172i 0.254100 + 0.440114i
\(277\) −14.5855 8.42097i −0.876360 0.505967i −0.00690380 0.999976i \(-0.502198\pi\)
−0.869457 + 0.494009i \(0.835531\pi\)
\(278\) 6.65721 0.399273
\(279\) −1.40941 0.813725i −0.0843794 0.0487165i
\(280\) 1.23616 + 3.18447i 0.0738748 + 0.190309i
\(281\) 8.61535i 0.513949i −0.966418 0.256974i \(-0.917274\pi\)
0.966418 0.256974i \(-0.0827256\pi\)
\(282\) 4.28295 + 2.47276i 0.255046 + 0.147251i
\(283\) 23.9192 13.8098i 1.42185 0.820905i 0.425392 0.905009i \(-0.360136\pi\)
0.996457 + 0.0841040i \(0.0268028\pi\)
\(284\) 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
\(290\) −3.58367 9.23186i −0.210440 0.542114i
\(291\) 1.92606i 0.112907i
\(292\) −2.99472 + 5.18700i −0.175253 + 0.303546i
\(293\) 15.1250 26.1973i 0.883614 1.53046i 0.0363205 0.999340i \(-0.488436\pi\)
0.847294 0.531125i \(-0.178230\pi\)
\(294\) 4.66621i 0.272139i
\(295\) 21.8316 8.47469i 1.27108 0.493415i
\(296\) −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
\(305\) 4.03188 + 10.3865i 0.230865 + 0.594730i
\(306\) 1.35904 + 0.784645i 0.0776914 + 0.0448552i
\(307\) 14.1392 0.806966 0.403483 0.914987i \(-0.367799\pi\)
0.403483 + 0.914987i \(0.367799\pi\)
\(308\) −1.74242 1.00599i −0.0992837 0.0573215i
\(309\) −6.21501 10.7647i −0.353559 0.612383i
\(310\) 0.555760 3.59640i 0.0315650 0.204262i
\(311\) −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
\(315\) 3.37591 + 0.521687i 0.190211 + 0.0293938i
\(316\) −2.43816 + 4.22302i −0.137157 + 0.237563i
\(317\) −14.2980 −0.803054 −0.401527 0.915847i \(-0.631520\pi\)
−0.401527 + 0.915847i \(0.631520\pi\)
\(318\) −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
\(325\) −10.4883 + 14.6627i −0.581787 + 0.813341i
\(326\) 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 0.202929 0.979193i \(-0.434954\pi\)
−0.746542 + 0.665338i \(0.768287\pi\)
\(332\) 3.19510 5.53408i 0.175354 0.303722i
\(333\) −2.80296 −0.153601
\(334\) −6.49472 + 11.2492i −0.355375 + 0.615528i
\(335\) −6.12693 0.946808i −0.334750 0.0517296i
\(336\) 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
\(340\) −0.535898 + 3.46788i −0.0290632 + 0.188072i
\(341\) 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
\(345\) 6.83178 + 17.5993i 0.367811 + 0.947515i
\(346\) 3.87696i 0.208427i
\(347\) 2.44226 + 1.41004i 0.131107 + 0.0756949i 0.564119 0.825693i \(-0.309216\pi\)
−0.433012 + 0.901388i \(0.642549\pi\)
\(348\) −3.83543 + 2.21438i −0.205600 + 0.118703i
\(349\) 23.0704 13.3197i 1.23493 0.712986i 0.266875 0.963731i \(-0.414009\pi\)
0.968053 + 0.250745i \(0.0806757\pi\)
\(350\) 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 \(-0.281158\pi\)
−0.986596 + 0.163182i \(0.947824\pi\)
\(354\) −5.23660 9.07005i −0.278322 0.482068i
\(355\) 30.9329 12.0077i 1.64175 0.637302i
\(356\) 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 \(-0.894041\pi\)
0.945105 0.326766i \(-0.105959\pi\)
\(360\) 0.809179 + 2.08452i 0.0426475 + 0.109864i
\(361\) 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 \(-0.725931\pi\)
0.331047 + 0.943614i \(0.392598\pi\)
\(368\) 7.31172 + 4.22143i 0.381150 + 0.220057i
\(369\) 1.56929i 0.0816939i
\(370\) −2.26809 5.84282i −0.117913 0.303754i
\(371\) 18.4110 + 10.6296i 0.955854 + 0.551862i
\(372\) −1.62745 −0.0843794
\(373\) 32.0259 + 18.4902i 1.65824 + 0.957384i 0.973528 + 0.228568i \(0.0734042\pi\)
0.684709 + 0.728816i \(0.259929\pi\)
\(374\) −1.03339 1.78989i −0.0534354 0.0925528i
\(375\) −11.1577 + 0.711042i −0.576181 + 0.0367180i
\(376\) 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 −0.522075 + 0.852900i \(0.674842\pi\)
−0.999670 + 0.0256802i \(0.991825\pi\)
\(380\) −1.64851 + 10.6677i −0.0845666 + 0.547243i
\(381\) −4.05041 + 7.01552i −0.207509 + 0.359416i
\(382\) 18.8543 0.964668
\(383\) 13.0170 22.5461i 0.665137 1.15205i −0.314111 0.949386i \(-0.601706\pi\)
0.979248 0.202665i \(-0.0649603\pi\)
\(384\) 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 \(0.550531\pi\)
\(390\) 7.19678 + 3.63406i 0.364423 + 0.184018i
\(391\) 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 −0.122997 + 0.992407i \(0.539250\pi\)
−0.797951 + 0.602722i \(0.794083\pi\)
\(398\) 17.6811 0.886275
\(399\) 3.68733 6.38665i 0.184597 0.319732i
\(400\) −3.69046 + 3.37350i −0.184523 + 0.168675i
\(401\) 24.5044 14.1476i 1.22369 0.706498i 0.257987 0.966148i \(-0.416941\pi\)
0.965703 + 0.259651i \(0.0836074\pi\)
\(402\) 2.77257i 0.138283i
\(403\) −4.36116 + 3.92581i −0.217245 + 0.195559i
\(404\) −2.43859 −0.121324
\(405\) 2.20984 + 0.341491i 0.109808 + 0.0169688i
\(406\) 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 0.790896 0.611951i \(-0.209615\pi\)
−0.134517 + 0.990911i \(0.542948\pi\)
\(410\) 3.27122 1.26984i 0.161554 0.0627127i
\(411\) 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 −0.981129 0.193353i \(-0.938064\pi\)
0.323116 0.946359i \(-0.395270\pi\)
\(420\) 3.18447 1.23616i 0.155386 0.0603186i
\(421\) 38.5359i 1.87812i −0.343747 0.939062i \(-0.611696\pi\)
0.343747 0.939062i \(-0.388304\pi\)
\(422\) −8.62227 + 14.9342i −0.419725 + 0.726986i
\(423\) 2.47276 4.28295i 0.120230 0.208244i
\(424\) 13.9161i 0.675824i
\(425\) −2.36850 + 7.48044i −0.114889 + 0.362855i
\(426\) −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 −0.438894 0.898539i \(-0.644630\pi\)
0.558710 + 0.829363i \(0.311296\pi\)
\(432\) 0.866025 0.500000i 0.0416667 0.0240563i
\(433\) −11.2344 6.48619i −0.539891 0.311706i 0.205144 0.978732i \(-0.434234\pi\)
−0.745035 + 0.667026i \(0.767567\pi\)
\(434\) 2.48622i 0.119342i
\(435\) −9.23186 + 3.58367i −0.442634 + 0.171824i
\(436\) −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 0.840551 0.541732i \(-0.182231\pi\)
−0.889429 + 0.457073i \(0.848898\pi\)
\(440\) 0.449750 2.91040i 0.0214410 0.138748i
\(441\) 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
\(445\) −6.29881 + 40.7605i −0.298592 + 1.93223i
\(446\) −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 0.0701571 0.997536i \(-0.477650\pi\)
−0.828813 + 0.559526i \(0.810983\pi\)
\(450\) 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
\(455\) 5.55166 10.9943i 0.260266 0.515423i
\(456\) 4.82738 0.226063
\(457\) −12.3213 21.3412i −0.576368 0.998299i −0.995891 0.0905546i \(-0.971136\pi\)
0.419523 0.907745i \(-0.362197\pi\)
\(458\) 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 −0.306446 0.951888i \(-0.599140\pi\)
−0.977582 + 0.210554i \(0.932473\pi\)
\(462\) −1.00599 + 1.74242i −0.0468028 + 0.0810648i
\(463\) 3.18319 0.147936 0.0739678 0.997261i \(-0.476434\pi\)
0.0739678 + 0.997261i \(0.476434\pi\)
\(464\) −2.21438 + 3.83543i −0.102800 + 0.178055i
\(465\) −3.59640 0.555760i −0.166779 0.0257727i
\(466\) −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
\(470\) 10.9288 + 1.68885i 0.504108 + 0.0779009i
\(471\) 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
\(475\) −7.28586 + 23.0110i −0.334298 + 1.05582i
\(476\) 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 −0.951179 0.308639i \(-0.900127\pi\)
−0.208300 + 0.978065i \(0.566793\pi\)
\(480\) 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
\(485\) 1.55852 + 4.01491i 0.0707690 + 0.182308i
\(486\) 1.00000i 0.0453609i
\(487\) −21.2643 + 36.8309i −0.963579 + 1.66897i −0.250194 + 0.968196i \(0.580494\pi\)
−0.713385 + 0.700772i \(0.752839\pi\)
\(488\) 2.49134 4.31513i 0.112778 0.195337i
\(489\) 9.91624i 0.448428i
\(490\) 3.77580 + 9.72681i 0.170573 + 0.439413i
\(491\) 6.32521 + 10.9556i 0.285453 + 0.494418i 0.972719 0.231987i \(-0.0745228\pi\)
−0.687266 + 0.726406i \(0.741189\pi\)
\(492\) −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 \(-0.967597\pi\)
0.994823 0.101621i \(-0.0324028\pi\)
\(500\) −9.30734 + 6.19463i −0.416237 + 0.277032i
\(501\) 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 \(-0.479775\pi\)
−0.832529 + 0.553981i \(0.813108\pi\)
\(504\) −0.763837 1.32301i −0.0340240 0.0589313i
\(505\) −5.38888 0.832755i −0.239802 0.0370571i
\(506\) −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 −0.687839 0.725863i \(-0.741441\pi\)
0.284696 + 0.958618i \(0.408107\pi\)
\(510\) 3.46788 + 0.535898i 0.153560 + 0.0237300i
\(511\) 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
\(520\) 8.04962 0.451203i 0.352999 0.0197866i
\(521\) −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 \(-0.482193\pi\)
0.892627 + 0.450795i \(0.148859\pi\)
\(524\) 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
\(530\) −4.75222 + 30.7523i −0.206423 + 1.33579i
\(531\) −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
\(535\) 3.57767 23.1516i 0.154676 1.00093i
\(536\) 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
\(540\) 2.08452 0.809179i 0.0897035 0.0348215i
\(541\) 20.6859i 0.889356i 0.895690 + 0.444678i \(0.146682\pi\)
−0.895690 + 0.444678i \(0.853318\pi\)
\(542\) −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
\(550\) 1.98775 6.27792i 0.0847579 0.267691i
\(551\) 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
\(555\) −5.84282 + 2.26809i −0.248014 + 0.0962752i
\(556\) −3.32861 5.76531i −0.141164 0.244504i
\(557\) 20.6032 + 35.6858i 0.872985 + 1.51205i 0.858894 + 0.512153i \(0.171152\pi\)
0.0140907 + 0.999901i \(0.495515\pi\)
\(558\) 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 \(-0.436543\pi\)
−0.749854 + 0.661603i \(0.769876\pi\)
\(564\) 4.94552i 0.208244i
\(565\) −5.41939 + 2.10372i −0.227995 + 0.0885043i
\(566\) −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 −0.997701 0.0677716i \(-0.978411\pi\)
0.440159 0.897920i \(-0.354922\pi\)
\(570\) 10.6677 + 1.64851i 0.446822 + 0.0690483i
\(571\) 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
\(575\) 28.4820 + 31.1580i 1.18778 + 1.29938i
\(576\) 0.500000 0.866025i 0.0208333 0.0360844i
\(577\) −1.20258 −0.0500639 −0.0250319 0.999687i \(-0.507969\pi\)
−0.0250319 + 0.999687i \(0.507969\pi\)
\(578\) −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
\(585\) 3.63406 7.19678i 0.150250 0.297550i
\(586\) −30.2501 −1.24962
\(587\) −9.53243 16.5107i −0.393446 0.681468i 0.599456 0.800408i \(-0.295384\pi\)
−0.992901 + 0.118940i \(0.962050\pi\)
\(588\) 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 \(-0.578231\pi\)
−0.243303 + 0.969950i \(0.578231\pi\)
\(594\) −0.658509 + 1.14057i −0.0270189 + 0.0467982i
\(595\) 0.818679 5.29779i 0.0335625 0.217188i
\(596\) 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 \(0.413574\pi\)
\(600\) 3.37350 + 3.69046i 0.137723 + 0.150662i
\(601\) 17.8125 + 30.8522i 0.726589 + 1.25849i 0.958317 + 0.285708i \(0.0922288\pi\)
−0.231728 + 0.972781i \(0.574438\pi\)
\(602\) 6.99684 + 4.03963i 0.285170 + 0.164643i
\(603\) 2.77257 0.112908
\(604\) 10.4052 + 6.00745i 0.423382 + 0.244440i
\(605\) −7.49742 19.3141i −0.304813 0.785228i
\(606\) 2.43859i 0.0990608i
\(607\) −4.20075 2.42530i −0.170503 0.0984400i 0.412320 0.911039i \(-0.364719\pi\)
−0.582823 + 0.812599i \(0.698052\pi\)
\(608\) 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 \(-0.00974646\pi\)
−0.526279 + 0.850312i \(0.676413\pi\)
\(614\) −7.06959 12.2449i −0.285306 0.494164i
\(615\) −1.26984 3.27122i −0.0512047 0.131908i
\(616\) 2.01198i 0.0810648i
\(617\) −7.01830 + 12.1560i −0.282546 + 0.489384i −0.972011 0.234935i \(-0.924512\pi\)
0.689465 + 0.724319i \(0.257846\pi\)
\(618\) −6.21501 + 10.7647i −0.250004 + 0.433020i
\(619\) 16.1470i 0.649002i 0.945885 + 0.324501i \(0.105196\pi\)
−0.945885 + 0.324501i \(0.894804\pi\)
\(620\) −3.39246 + 1.31690i −0.136244 + 0.0528879i
\(621\) −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
\(630\) −1.23616 3.18447i −0.0492499 0.126872i
\(631\) 16.3611 + 9.44608i 0.651325 + 0.376043i 0.788964 0.614440i \(-0.210618\pi\)
−0.137639 + 0.990483i \(0.543951\pi\)
\(632\) 4.87632 0.193970
\(633\) 14.9342 + 8.62227i 0.593581 + 0.342704i
\(634\) 7.14899 + 12.3824i 0.283922 + 0.491768i
\(635\) −2.76636 + 17.9015i −0.109780 + 0.710400i
\(636\) 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
\(640\) 2.20984 + 0.341491i 0.0873515 + 0.0134986i
\(641\) 3.57648 6.19465i 0.141262 0.244674i −0.786710 0.617323i \(-0.788217\pi\)
0.927972 + 0.372649i \(0.121551\pi\)
\(642\) −10.4766 −0.413479
\(643\) 19.9623 34.5756i 0.787235 1.36353i −0.140420 0.990092i \(-0.544845\pi\)
0.927655 0.373438i \(-0.121821\pi\)
\(644\) −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 \(-0.578365\pi\)
0.718058 + 0.695983i \(0.245031\pi\)
\(648\) −0.500000 0.866025i −0.0196419 0.0340207i
\(649\) 13.7934 0.541438
\(650\) 17.9424 + 1.75179i 0.703760 + 0.0687108i
\(651\) 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 \(-0.864461\pi\)
−0.0976340 + 0.995222i \(0.531127\pi\)
\(654\) −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 0.426593 + 0.904444i \(0.359714\pi\)
−0.996568 + 0.0827819i \(0.973620\pi\)
\(660\) −2.91040 0.449750i −0.113287 0.0175065i
\(661\) −30.0903 + 17.3726i −1.17038 + 0.675717i −0.953769 0.300541i \(-0.902833\pi\)
−0.216608 + 0.976259i \(0.569499\pi\)
\(662\) 11.4202i 0.443858i
\(663\) −3.78551 4.20530i −0.147017 0.163320i
\(664\) −6.39020 −0.247988
\(665\) 2.51838 16.2968i 0.0976587 0.631963i
\(666\) 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
\(670\) 2.24351 + 5.77948i 0.0866742 + 0.223281i
\(671\) 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 \(-0.882585\pi\)
−0.154113 + 0.988053i \(0.549252\pi\)
\(674\) 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
\(680\) 3.27122 1.26984i 0.125445 0.0486960i
\(681\) 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 \(-0.794348\pi\)
0.920623 + 0.390453i \(0.127682\pi\)
\(684\) 4.82738i 0.184579i
\(685\) 9.93983 + 25.6059i 0.379781 + 0.978352i
\(686\) −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 −0.216717 0.976234i \(-0.569535\pi\)
0.737085 + 0.675800i \(0.236202\pi\)
\(692\) −3.35755 + 1.93848i −0.127635 + 0.0736900i
\(693\) 1.74242 + 1.00599i 0.0661891 + 0.0382143i
\(694\) 2.82008i 0.107049i
\(695\) −5.38688 13.8771i −0.204336 0.526388i
\(696\) 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
\(700\) 5.63782 5.15361i 0.213090 0.194788i
\(701\) −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
\(705\) 1.68885 10.9288i 0.0636058 0.411602i
\(706\) −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 −0.184046 0.982918i \(-0.558920\pi\)
−0.943255 + 0.332070i \(0.892253\pi\)
\(710\) −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
\(715\) −8.88404 + 5.81538i −0.332244 + 0.217483i
\(716\) −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 0.0897253 + 0.995967i \(0.471401\pi\)
−0.907395 + 0.420279i \(0.861932\pi\)
\(720\) 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
\(725\) −16.3442 + 14.9405i −0.607008 + 0.554875i
\(726\) −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
\(730\) 13.2357 + 2.04534i 0.489875 + 0.0757014i
\(731\) 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 \(-0.501792\pi\)
−0.00562900 + 0.999984i \(0.501792\pi\)
\(734\) 6.14226 + 3.54624i 0.226715 + 0.130894i
\(735\) 9.72681 3.77580i 0.358779 0.139272i
\(736\) 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 −0.440954 0.897530i \(-0.645360\pi\)
0.556807 + 0.830642i \(0.312026\pi\)
\(740\) −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 0.997941 + 0.0641394i \(0.0204302\pi\)
−0.443424 + 0.896312i \(0.646236\pi\)
\(744\) 0.813725 + 1.40941i 0.0298326 + 0.0516716i
\(745\) 6.27667 2.43651i 0.229959 0.0892667i
\(746\) 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
\(750\) 6.19463 + 9.30734i 0.226196 + 0.339856i
\(751\) −0.00159080 0.00275535i −5.80493e−5 0.000100544i 0.865996 0.500050i \(-0.166685\pi\)
−0.866054 + 0.499950i \(0.833352\pi\)
\(752\) −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 \(-0.389647\pi\)
0.984392 + 0.175992i \(0.0563132\pi\)
\(758\) 29.6252 + 17.1041i 1.07604 + 0.621250i
\(759\) 11.1194i 0.403608i
\(760\) 10.0628 3.90621i 0.365015 0.141693i
\(761\) 21.1489 + 12.2103i 0.766646 + 0.442623i 0.831677 0.555260i \(-0.187381\pi\)
−0.0650310 + 0.997883i \(0.520715\pi\)
\(762\) 8.10083 0.293462
\(763\) 22.7291 + 13.1226i 0.822847 + 0.475071i
\(764\) −9.42713 16.3283i −0.341062 0.590736i
\(765\) 0.535898 3.46788i 0.0193754 0.125381i
\(766\) −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 −0.912368 0.409370i \(-0.865748\pi\)
−0.101659 + 0.994819i \(0.532415\pi\)
\(770\) −0.687072 + 4.44614i −0.0247603 + 0.160228i
\(771\) −1.92197 + 3.32895i −0.0692182 + 0.119889i
\(772\) 17.8920 0.643947