Properties

Label 462.2.p.a.439.1
Level $462$
Weight $2$
Character 462.439
Analytic conductor $3.689$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.p (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 8 x^{15} + 74 x^{14} - 378 x^{13} + 1878 x^{12} - 6718 x^{11} + 22086 x^{10} - 56904 x^{9} + 130215 x^{8} - 239606 x^{7} + 378750 x^{6} - 477124 x^{5} + 493030 x^{4} - 386266 x^{3} + 223844 x^{2} - 82874 x + 13417\)
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 439.1
Root \(0.500000 - 3.19339i\) of defining polynomial
Character \(\chi\) \(=\) 462.439
Dual form 462.2.p.a.241.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.01555 - 1.16368i) q^{5} -1.00000 q^{6} +(-1.31629 + 2.29508i) q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.01555 - 1.16368i) q^{5} -1.00000 q^{6} +(-1.31629 + 2.29508i) q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(1.16368 + 2.01555i) q^{10} +(-3.15334 + 1.02783i) q^{11} +(0.866025 + 0.500000i) q^{12} -1.44095 q^{13} +(2.28748 - 1.32945i) q^{14} -2.32736 q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.60782 - 2.78483i) q^{17} +(-0.866025 + 0.500000i) q^{18} +(-3.07901 + 5.33301i) q^{19} -2.32736i q^{20} +(0.00760304 + 2.64574i) q^{21} +(3.24479 + 0.686549i) q^{22} +(-3.14645 + 5.44981i) q^{23} +(-0.500000 - 0.866025i) q^{24} +(0.208304 + 0.360793i) q^{25} +(1.24790 + 0.720474i) q^{26} -1.00000i q^{27} +(-2.64574 + 0.00760304i) q^{28} -3.26833i q^{29} +(2.01555 + 1.16368i) q^{30} +(2.67692 - 1.54552i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-2.21696 + 2.46679i) q^{33} +3.21565i q^{34} +(5.32378 - 3.09412i) q^{35} +1.00000 q^{36} +(-4.57056 + 7.91644i) q^{37} +(5.33301 - 3.07901i) q^{38} +(-1.24790 + 0.720474i) q^{39} +(-1.16368 + 2.01555i) q^{40} +3.41163 q^{41} +(1.31629 - 2.29508i) q^{42} -1.89247i q^{43} +(-2.46679 - 2.21696i) q^{44} +(-2.01555 + 1.16368i) q^{45} +(5.44981 - 3.14645i) q^{46} +(-9.22249 - 5.32461i) q^{47} +1.00000i q^{48} +(-3.53478 - 6.04196i) q^{49} -0.416608i q^{50} +(-2.78483 - 1.60782i) q^{51} +(-0.720474 - 1.24790i) q^{52} +(4.60856 + 7.98226i) q^{53} +(-0.500000 + 0.866025i) q^{54} +(7.55179 + 1.59785i) q^{55} +(2.29508 + 1.31629i) q^{56} +6.15803i q^{57} +(-1.63416 + 2.83045i) q^{58} +(-0.461345 + 0.266358i) q^{59} +(-1.16368 - 2.01555i) q^{60} +(-0.233713 + 0.404803i) q^{61} -3.09104 q^{62} +(1.32945 + 2.28748i) q^{63} -1.00000 q^{64} +(2.90431 + 1.67680i) q^{65} +(3.15334 - 1.02783i) q^{66} +(4.61347 + 7.99077i) q^{67} +(1.60782 - 2.78483i) q^{68} +6.29290i q^{69} +(-6.15759 + 0.0176950i) q^{70} -3.25253 q^{71} +(-0.866025 - 0.500000i) q^{72} +(-2.50002 - 4.33016i) q^{73} +(7.91644 - 4.57056i) q^{74} +(0.360793 + 0.208304i) q^{75} -6.15803 q^{76} +(1.79176 - 8.59009i) q^{77} +1.44095 q^{78} +(-7.21263 - 4.16421i) q^{79} +(2.01555 - 1.16368i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-2.95456 - 1.70582i) q^{82} +4.56130 q^{83} +(-2.28748 + 1.32945i) q^{84} +7.48397i q^{85} +(-0.946236 + 1.63893i) q^{86} +(-1.63416 - 2.83045i) q^{87} +(1.02783 + 3.15334i) q^{88} +(-3.79409 - 2.19052i) q^{89} +2.32736 q^{90} +(1.89670 - 3.30709i) q^{91} -6.29290 q^{92} +(1.54552 - 2.67692i) q^{93} +(5.32461 + 9.22249i) q^{94} +(12.4118 - 7.16598i) q^{95} +(0.500000 - 0.866025i) q^{96} -17.8026i q^{97} +(0.0402313 + 6.99988i) q^{98} +(-0.686549 + 3.24479i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 8q^{4} + 12q^{5} - 16q^{6} - 6q^{7} + 8q^{9} + O(q^{10}) \) \( 16q + 8q^{4} + 12q^{5} - 16q^{6} - 6q^{7} + 8q^{9} + 2q^{10} - 4q^{11} + 8q^{14} - 4q^{15} - 8q^{16} - 10q^{19} - 4q^{21} + 2q^{22} - 4q^{23} - 8q^{24} + 10q^{25} + 12q^{26} - 12q^{30} + 6q^{31} + 2q^{33} - 8q^{35} + 16q^{36} + 14q^{37} - 12q^{38} - 12q^{39} - 2q^{40} + 32q^{41} + 6q^{42} + 4q^{44} + 12q^{45} + 18q^{46} - 24q^{47} - 6q^{49} + 6q^{51} - 8q^{54} - 14q^{55} + 4q^{56} - 2q^{60} + 28q^{61} - 8q^{62} - 6q^{63} - 16q^{64} + 72q^{65} + 4q^{66} - 16q^{67} - 30q^{70} - 56q^{71} - 44q^{73} + 24q^{74} - 12q^{75} - 20q^{76} + 32q^{77} - 30q^{79} - 12q^{80} - 8q^{81} - 12q^{82} + 8q^{83} - 8q^{84} - 12q^{86} + 4q^{88} - 36q^{89} + 4q^{90} - 8q^{91} - 8q^{92} + 4q^{93} + 14q^{94} + 72q^{95} + 8q^{96} - 40q^{98} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −2.01555 1.16368i −0.901383 0.520414i −0.0237343 0.999718i \(-0.507556\pi\)
−0.877649 + 0.479305i \(0.840889\pi\)
\(6\) −1.00000 −0.408248
\(7\) −1.31629 + 2.29508i −0.497509 + 0.867459i
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 1.16368 + 2.01555i 0.367988 + 0.637374i
\(11\) −3.15334 + 1.02783i −0.950769 + 0.309901i
\(12\) 0.866025 + 0.500000i 0.250000 + 0.144338i
\(13\) −1.44095 −0.399647 −0.199823 0.979832i \(-0.564037\pi\)
−0.199823 + 0.979832i \(0.564037\pi\)
\(14\) 2.28748 1.32945i 0.611354 0.355312i
\(15\) −2.32736 −0.600922
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.60782 2.78483i −0.389954 0.675421i 0.602489 0.798127i \(-0.294176\pi\)
−0.992443 + 0.122707i \(0.960843\pi\)
\(18\) −0.866025 + 0.500000i −0.204124 + 0.117851i
\(19\) −3.07901 + 5.33301i −0.706374 + 1.22348i 0.259819 + 0.965657i \(0.416337\pi\)
−0.966193 + 0.257819i \(0.916996\pi\)
\(20\) 2.32736i 0.520414i
\(21\) 0.00760304 + 2.64574i 0.00165912 + 0.577348i
\(22\) 3.24479 + 0.686549i 0.691791 + 0.146373i
\(23\) −3.14645 + 5.44981i −0.656080 + 1.13636i 0.325542 + 0.945528i \(0.394453\pi\)
−0.981622 + 0.190836i \(0.938880\pi\)
\(24\) −0.500000 0.866025i −0.102062 0.176777i
\(25\) 0.208304 + 0.360793i 0.0416608 + 0.0721586i
\(26\) 1.24790 + 0.720474i 0.244733 + 0.141297i
\(27\) 1.00000i 0.192450i
\(28\) −2.64574 + 0.00760304i −0.499998 + 0.00143684i
\(29\) 3.26833i 0.606913i −0.952845 0.303456i \(-0.901859\pi\)
0.952845 0.303456i \(-0.0981407\pi\)
\(30\) 2.01555 + 1.16368i 0.367988 + 0.212458i
\(31\) 2.67692 1.54552i 0.480789 0.277584i −0.239956 0.970784i \(-0.577133\pi\)
0.720745 + 0.693200i \(0.243800\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −2.21696 + 2.46679i −0.385924 + 0.429414i
\(34\) 3.21565i 0.551479i
\(35\) 5.32378 3.09412i 0.899884 0.523002i
\(36\) 1.00000 0.166667
\(37\) −4.57056 + 7.91644i −0.751395 + 1.30145i 0.195752 + 0.980653i \(0.437285\pi\)
−0.947147 + 0.320801i \(0.896048\pi\)
\(38\) 5.33301 3.07901i 0.865128 0.499482i
\(39\) −1.24790 + 0.720474i −0.199823 + 0.115368i
\(40\) −1.16368 + 2.01555i −0.183994 + 0.318687i
\(41\) 3.41163 0.532808 0.266404 0.963861i \(-0.414165\pi\)
0.266404 + 0.963861i \(0.414165\pi\)
\(42\) 1.31629 2.29508i 0.203107 0.354139i
\(43\) 1.89247i 0.288599i −0.989534 0.144300i \(-0.953907\pi\)
0.989534 0.144300i \(-0.0460929\pi\)
\(44\) −2.46679 2.21696i −0.371883 0.334220i
\(45\) −2.01555 + 1.16368i −0.300461 + 0.173471i
\(46\) 5.44981 3.14645i 0.803530 0.463919i
\(47\) −9.22249 5.32461i −1.34524 0.776674i −0.357668 0.933849i \(-0.616428\pi\)
−0.987571 + 0.157175i \(0.949761\pi\)
\(48\) 1.00000i 0.144338i
\(49\) −3.53478 6.04196i −0.504969 0.863137i
\(50\) 0.416608i 0.0589173i
\(51\) −2.78483 1.60782i −0.389954 0.225140i
\(52\) −0.720474 1.24790i −0.0999117 0.173052i
\(53\) 4.60856 + 7.98226i 0.633035 + 1.09645i 0.986928 + 0.161162i \(0.0515242\pi\)
−0.353893 + 0.935286i \(0.615142\pi\)
\(54\) −0.500000 + 0.866025i −0.0680414 + 0.117851i
\(55\) 7.55179 + 1.59785i 1.01828 + 0.215454i
\(56\) 2.29508 + 1.31629i 0.306693 + 0.175896i
\(57\) 6.15803i 0.815651i
\(58\) −1.63416 + 2.83045i −0.214576 + 0.371657i
\(59\) −0.461345 + 0.266358i −0.0600620 + 0.0346768i −0.529730 0.848166i \(-0.677707\pi\)
0.469668 + 0.882843i \(0.344374\pi\)
\(60\) −1.16368 2.01555i −0.150230 0.260207i
\(61\) −0.233713 + 0.404803i −0.0299239 + 0.0518298i −0.880600 0.473861i \(-0.842860\pi\)
0.850676 + 0.525691i \(0.176193\pi\)
\(62\) −3.09104 −0.392563
\(63\) 1.32945 + 2.28748i 0.167496 + 0.288195i
\(64\) −1.00000 −0.125000
\(65\) 2.90431 + 1.67680i 0.360235 + 0.207982i
\(66\) 3.15334 1.02783i 0.388150 0.126517i
\(67\) 4.61347 + 7.99077i 0.563625 + 0.976227i 0.997176 + 0.0750984i \(0.0239271\pi\)
−0.433551 + 0.901129i \(0.642740\pi\)
\(68\) 1.60782 2.78483i 0.194977 0.337710i
\(69\) 6.29290i 0.757576i
\(70\) −6.15759 + 0.0176950i −0.735973 + 0.00211496i
\(71\) −3.25253 −0.386004 −0.193002 0.981198i \(-0.561822\pi\)
−0.193002 + 0.981198i \(0.561822\pi\)
\(72\) −0.866025 0.500000i −0.102062 0.0589256i
\(73\) −2.50002 4.33016i −0.292605 0.506807i 0.681820 0.731520i \(-0.261189\pi\)
−0.974425 + 0.224713i \(0.927855\pi\)
\(74\) 7.91644 4.57056i 0.920267 0.531316i
\(75\) 0.360793 + 0.208304i 0.0416608 + 0.0240529i
\(76\) −6.15803 −0.706374
\(77\) 1.79176 8.59009i 0.204190 0.978931i
\(78\) 1.44095 0.163155
\(79\) −7.21263 4.16421i −0.811484 0.468510i 0.0359870 0.999352i \(-0.488543\pi\)
−0.847471 + 0.530842i \(0.821876\pi\)
\(80\) 2.01555 1.16368i 0.225346 0.130103i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −2.95456 1.70582i −0.326277 0.188376i
\(83\) 4.56130 0.500668 0.250334 0.968160i \(-0.419460\pi\)
0.250334 + 0.968160i \(0.419460\pi\)
\(84\) −2.28748 + 1.32945i −0.249584 + 0.145055i
\(85\) 7.48397i 0.811750i
\(86\) −0.946236 + 1.63893i −0.102035 + 0.176730i
\(87\) −1.63416 2.83045i −0.175201 0.303456i
\(88\) 1.02783 + 3.15334i 0.109567 + 0.336148i
\(89\) −3.79409 2.19052i −0.402173 0.232195i 0.285248 0.958454i \(-0.407924\pi\)
−0.687421 + 0.726259i \(0.741257\pi\)
\(90\) 2.32736 0.245325
\(91\) 1.89670 3.30709i 0.198828 0.346677i
\(92\) −6.29290 −0.656080
\(93\) 1.54552 2.67692i 0.160263 0.277584i
\(94\) 5.32461 + 9.22249i 0.549191 + 0.951227i
\(95\) 12.4118 7.16598i 1.27343 0.735214i
\(96\) 0.500000 0.866025i 0.0510310 0.0883883i
\(97\) 17.8026i 1.80758i −0.427977 0.903790i \(-0.640774\pi\)
0.427977 0.903790i \(-0.359226\pi\)
\(98\) 0.0402313 + 6.99988i 0.00406398 + 0.707095i
\(99\) −0.686549 + 3.24479i −0.0690007 + 0.326113i
\(100\) −0.208304 + 0.360793i −0.0208304 + 0.0360793i
\(101\) −5.34857 9.26399i −0.532203 0.921802i −0.999293 0.0375924i \(-0.988031\pi\)
0.467091 0.884209i \(-0.345302\pi\)
\(102\) 1.60782 + 2.78483i 0.159198 + 0.275739i
\(103\) 11.7844 + 6.80370i 1.16115 + 0.670388i 0.951579 0.307406i \(-0.0994609\pi\)
0.209568 + 0.977794i \(0.432794\pi\)
\(104\) 1.44095i 0.141297i
\(105\) 3.06347 5.34148i 0.298964 0.521275i
\(106\) 9.21712i 0.895246i
\(107\) −8.13694 4.69786i −0.786627 0.454159i 0.0521466 0.998639i \(-0.483394\pi\)
−0.838774 + 0.544480i \(0.816727\pi\)
\(108\) 0.866025 0.500000i 0.0833333 0.0481125i
\(109\) 6.18076 3.56846i 0.592009 0.341797i −0.173882 0.984766i \(-0.555631\pi\)
0.765892 + 0.642970i \(0.222298\pi\)
\(110\) −5.74112 5.15967i −0.547394 0.491955i
\(111\) 9.14111i 0.867636i
\(112\) −1.32945 2.28748i −0.125622 0.216146i
\(113\) −3.15100 −0.296421 −0.148210 0.988956i \(-0.547351\pi\)
−0.148210 + 0.988956i \(0.547351\pi\)
\(114\) 3.07901 5.33301i 0.288376 0.499482i
\(115\) 12.6837 7.32292i 1.18276 0.682866i
\(116\) 2.83045 1.63416i 0.262801 0.151728i
\(117\) −0.720474 + 1.24790i −0.0666078 + 0.115368i
\(118\) 0.532715 0.0490404
\(119\) 8.50776 0.0244487i 0.779905 0.00224121i
\(120\) 2.32736i 0.212458i
\(121\) 8.88715 6.48217i 0.807923 0.589289i
\(122\) 0.404803 0.233713i 0.0366492 0.0211594i
\(123\) 2.95456 1.70582i 0.266404 0.153808i
\(124\) 2.67692 + 1.54552i 0.240395 + 0.138792i
\(125\) 10.6672i 0.954104i
\(126\) −0.00760304 2.64574i −0.000677332 0.235701i
\(127\) 10.8090i 0.959143i −0.877503 0.479571i \(-0.840792\pi\)
0.877503 0.479571i \(-0.159208\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −0.946236 1.63893i −0.0833115 0.144300i
\(130\) −1.67680 2.90431i −0.147065 0.254725i
\(131\) 5.48559 9.50131i 0.479278 0.830134i −0.520440 0.853898i \(-0.674232\pi\)
0.999718 + 0.0237647i \(0.00756526\pi\)
\(132\) −3.24479 0.686549i −0.282423 0.0597564i
\(133\) −8.18682 14.0863i −0.709887 1.22144i
\(134\) 9.22694i 0.797086i
\(135\) −1.16368 + 2.01555i −0.100154 + 0.173471i
\(136\) −2.78483 + 1.60782i −0.238797 + 0.137870i
\(137\) −4.83301 8.37102i −0.412912 0.715185i 0.582295 0.812978i \(-0.302155\pi\)
−0.995207 + 0.0977932i \(0.968822\pi\)
\(138\) 3.14645 5.44981i 0.267843 0.463919i
\(139\) 23.3695 1.98218 0.991088 0.133208i \(-0.0425277\pi\)
0.991088 + 0.133208i \(0.0425277\pi\)
\(140\) 5.34148 + 3.06347i 0.451437 + 0.258911i
\(141\) −10.6492 −0.896826
\(142\) 2.81677 + 1.62627i 0.236378 + 0.136473i
\(143\) 4.54380 1.48104i 0.379972 0.123851i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) −3.80329 + 6.58749i −0.315846 + 0.547061i
\(146\) 5.00004i 0.413806i
\(147\) −6.08219 3.46510i −0.501651 0.285797i
\(148\) −9.14111 −0.751395
\(149\) 13.0372 + 7.52705i 1.06805 + 0.616640i 0.927648 0.373455i \(-0.121827\pi\)
0.140403 + 0.990094i \(0.455160\pi\)
\(150\) −0.208304 0.360793i −0.0170080 0.0294586i
\(151\) −11.2506 + 6.49554i −0.915561 + 0.528599i −0.882216 0.470845i \(-0.843949\pi\)
−0.0333445 + 0.999444i \(0.510616\pi\)
\(152\) 5.33301 + 3.07901i 0.432564 + 0.249741i
\(153\) −3.21565 −0.259970
\(154\) −5.84675 + 6.54335i −0.471145 + 0.527278i
\(155\) −7.19397 −0.577833
\(156\) −1.24790 0.720474i −0.0999117 0.0576841i
\(157\) −9.98402 + 5.76428i −0.796812 + 0.460039i −0.842355 0.538923i \(-0.818831\pi\)
0.0455434 + 0.998962i \(0.485498\pi\)
\(158\) 4.16421 + 7.21263i 0.331287 + 0.573806i
\(159\) 7.98226 + 4.60856i 0.633035 + 0.365483i
\(160\) −2.32736 −0.183994
\(161\) −8.36612 14.3949i −0.659343 1.13447i
\(162\) 1.00000i 0.0785674i
\(163\) 4.15686 7.19989i 0.325590 0.563939i −0.656041 0.754725i \(-0.727770\pi\)
0.981632 + 0.190786i \(0.0611037\pi\)
\(164\) 1.70582 + 2.95456i 0.133202 + 0.230713i
\(165\) 7.33897 2.39212i 0.571338 0.186226i
\(166\) −3.95020 2.28065i −0.306595 0.177013i
\(167\) −15.5338 −1.20204 −0.601022 0.799232i \(-0.705240\pi\)
−0.601022 + 0.799232i \(0.705240\pi\)
\(168\) 2.64574 0.00760304i 0.204123 0.000586587i
\(169\) −10.9237 −0.840282
\(170\) 3.74198 6.48131i 0.286997 0.497094i
\(171\) 3.07901 + 5.33301i 0.235458 + 0.407825i
\(172\) 1.63893 0.946236i 0.124967 0.0721499i
\(173\) −6.60240 + 11.4357i −0.501971 + 0.869439i 0.498027 + 0.867162i \(0.334058\pi\)
−0.999997 + 0.00227722i \(0.999275\pi\)
\(174\) 3.26833i 0.247771i
\(175\) −1.10224 + 0.00316749i −0.0833213 + 0.000239439i
\(176\) 0.686549 3.24479i 0.0517506 0.244585i
\(177\) −0.266358 + 0.461345i −0.0200207 + 0.0346768i
\(178\) 2.19052 + 3.79409i 0.164186 + 0.284379i
\(179\) 9.43539 + 16.3426i 0.705234 + 1.22150i 0.966607 + 0.256263i \(0.0824913\pi\)
−0.261373 + 0.965238i \(0.584175\pi\)
\(180\) −2.01555 1.16368i −0.150230 0.0867356i
\(181\) 3.94448i 0.293191i 0.989197 + 0.146595i \(0.0468316\pi\)
−0.989197 + 0.146595i \(0.953168\pi\)
\(182\) −3.29613 + 1.91567i −0.244326 + 0.141999i
\(183\) 0.467427i 0.0345532i
\(184\) 5.44981 + 3.14645i 0.401765 + 0.231959i
\(185\) 18.4244 10.6373i 1.35459 0.782072i
\(186\) −2.67692 + 1.54552i −0.196281 + 0.113323i
\(187\) 7.93234 + 7.12897i 0.580070 + 0.521322i
\(188\) 10.6492i 0.776674i
\(189\) 2.29508 + 1.31629i 0.166942 + 0.0957457i
\(190\) −14.3320 −1.03975
\(191\) −11.7619 + 20.3722i −0.851062 + 1.47408i 0.0291897 + 0.999574i \(0.490707\pi\)
−0.880251 + 0.474508i \(0.842626\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) −18.0103 + 10.3983i −1.29641 + 0.748484i −0.979782 0.200066i \(-0.935884\pi\)
−0.316629 + 0.948549i \(0.602551\pi\)
\(194\) −8.90130 + 15.4175i −0.639076 + 1.10691i
\(195\) 3.35360 0.240157
\(196\) 3.46510 6.08219i 0.247507 0.434442i
\(197\) 21.3675i 1.52237i 0.648534 + 0.761186i \(0.275382\pi\)
−0.648534 + 0.761186i \(0.724618\pi\)
\(198\) 2.21696 2.46679i 0.157553 0.175307i
\(199\) 17.3579 10.0216i 1.23047 0.710410i 0.263339 0.964703i \(-0.415176\pi\)
0.967127 + 0.254293i \(0.0818429\pi\)
\(200\) 0.360793 0.208304i 0.0255119 0.0147293i
\(201\) 7.99077 + 4.61347i 0.563625 + 0.325409i
\(202\) 10.6971i 0.752648i
\(203\) 7.50107 + 4.30205i 0.526472 + 0.301945i
\(204\) 3.21565i 0.225140i
\(205\) −6.87633 3.97005i −0.480264 0.277280i
\(206\) −6.80370 11.7844i −0.474036 0.821055i
\(207\) 3.14645 + 5.44981i 0.218693 + 0.378788i
\(208\) 0.720474 1.24790i 0.0499559 0.0865261i
\(209\) 4.22779 19.9815i 0.292442 1.38215i
\(210\) −5.32378 + 3.09412i −0.367376 + 0.213515i
\(211\) 2.04651i 0.140887i 0.997516 + 0.0704437i \(0.0224415\pi\)
−0.997516 + 0.0704437i \(0.977558\pi\)
\(212\) −4.60856 + 7.98226i −0.316517 + 0.548224i
\(213\) −2.81677 + 1.62627i −0.193002 + 0.111430i
\(214\) 4.69786 + 8.13694i 0.321139 + 0.556229i
\(215\) −2.20223 + 3.81438i −0.150191 + 0.260139i
\(216\) −1.00000 −0.0680414
\(217\) 0.0235013 + 8.17809i 0.00159537 + 0.555165i
\(218\) −7.13693 −0.483374
\(219\) −4.33016 2.50002i −0.292605 0.168936i
\(220\) 2.39212 + 7.33897i 0.161277 + 0.494793i
\(221\) 2.31679 + 4.01279i 0.155844 + 0.269930i
\(222\) 4.57056 7.91644i 0.306756 0.531316i
\(223\) 23.3804i 1.56567i 0.622230 + 0.782835i \(0.286227\pi\)
−0.622230 + 0.782835i \(0.713773\pi\)
\(224\) 0.00760304 + 2.64574i 0.000507999 + 0.176776i
\(225\) 0.416608 0.0277739
\(226\) 2.72884 + 1.57550i 0.181520 + 0.104801i
\(227\) 6.97413 + 12.0796i 0.462890 + 0.801748i 0.999104 0.0423338i \(-0.0134793\pi\)
−0.536214 + 0.844082i \(0.680146\pi\)
\(228\) −5.33301 + 3.07901i −0.353187 + 0.203913i
\(229\) −13.0033 7.50744i −0.859281 0.496106i 0.00449072 0.999990i \(-0.498571\pi\)
−0.863771 + 0.503884i \(0.831904\pi\)
\(230\) −14.6458 −0.965718
\(231\) −2.74333 8.33511i −0.180498 0.548410i
\(232\) −3.26833 −0.214576
\(233\) −14.2393 8.22109i −0.932850 0.538581i −0.0451385 0.998981i \(-0.514373\pi\)
−0.887712 + 0.460399i \(0.847706\pi\)
\(234\) 1.24790 0.720474i 0.0815776 0.0470988i
\(235\) 12.3923 + 21.4641i 0.808384 + 1.40016i
\(236\) −0.461345 0.266358i −0.0300310 0.0173384i
\(237\) −8.32842 −0.540989
\(238\) −7.38016 4.23271i −0.478385 0.274366i
\(239\) 24.7950i 1.60386i 0.597419 + 0.801929i \(0.296193\pi\)
−0.597419 + 0.801929i \(0.703807\pi\)
\(240\) 1.16368 2.01555i 0.0751152 0.130103i
\(241\) −11.1098 19.2427i −0.715643 1.23953i −0.962711 0.270532i \(-0.912800\pi\)
0.247068 0.968998i \(-0.420533\pi\)
\(242\) −10.9376 + 1.17015i −0.703095 + 0.0752202i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −0.467427 −0.0299239
\(245\) 0.0936328 + 16.2913i 0.00598198 + 1.04081i
\(246\) −3.41163 −0.217518
\(247\) 4.43670 7.68458i 0.282300 0.488958i
\(248\) −1.54552 2.67692i −0.0981407 0.169985i
\(249\) 3.95020 2.28065i 0.250334 0.144530i
\(250\) 5.33360 9.23807i 0.337327 0.584267i
\(251\) 4.73415i 0.298817i 0.988776 + 0.149409i \(0.0477370\pi\)
−0.988776 + 0.149409i \(0.952263\pi\)
\(252\) −1.31629 + 2.29508i −0.0829182 + 0.144576i
\(253\) 4.32038 20.4191i 0.271620 1.28374i
\(254\) −5.40449 + 9.36086i −0.339108 + 0.587353i
\(255\) 3.74198 + 6.48131i 0.234332 + 0.405875i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −10.5961 6.11764i −0.660965 0.381608i 0.131680 0.991292i \(-0.457963\pi\)
−0.792644 + 0.609684i \(0.791296\pi\)
\(258\) 1.89247i 0.117820i
\(259\) −12.1527 20.9101i −0.755132 1.29929i
\(260\) 3.35360i 0.207982i
\(261\) −2.83045 1.63416i −0.175201 0.101152i
\(262\) −9.50131 + 5.48559i −0.586993 + 0.338901i
\(263\) −16.6883 + 9.63502i −1.02905 + 0.594121i −0.916712 0.399550i \(-0.869167\pi\)
−0.112336 + 0.993670i \(0.535833\pi\)
\(264\) 2.46679 + 2.21696i 0.151821 + 0.136445i
\(265\) 21.4516i 1.31776i
\(266\) 0.0468197 + 16.2925i 0.00287070 + 0.998960i
\(267\) −4.38104 −0.268115
\(268\) −4.61347 + 7.99077i −0.281813 + 0.488114i
\(269\) 19.1299 11.0447i 1.16637 0.673405i 0.213549 0.976932i \(-0.431498\pi\)
0.952823 + 0.303527i \(0.0981644\pi\)
\(270\) 2.01555 1.16368i 0.122663 0.0708193i
\(271\) 0.610555 1.05751i 0.0370886 0.0642393i −0.846885 0.531776i \(-0.821525\pi\)
0.883974 + 0.467536i \(0.154858\pi\)
\(272\) 3.21565 0.194977
\(273\) −0.0109556 3.81237i −0.000663062 0.230735i
\(274\) 9.66602i 0.583946i
\(275\) −1.02769 0.923604i −0.0619718 0.0556954i
\(276\) −5.44981 + 3.14645i −0.328040 + 0.189394i
\(277\) 10.8330 6.25443i 0.650891 0.375792i −0.137906 0.990445i \(-0.544037\pi\)
0.788798 + 0.614653i \(0.210704\pi\)
\(278\) −20.2386 11.6848i −1.21383 0.700805i
\(279\) 3.09104i 0.185056i
\(280\) −3.09412 5.32378i −0.184909 0.318157i
\(281\) 25.3495i 1.51222i 0.654443 + 0.756111i \(0.272903\pi\)
−0.654443 + 0.756111i \(0.727097\pi\)
\(282\) 9.22249 + 5.32461i 0.549191 + 0.317076i
\(283\) −1.38222 2.39408i −0.0821646 0.142313i 0.822015 0.569466i \(-0.192850\pi\)
−0.904179 + 0.427153i \(0.859517\pi\)
\(284\) −1.62627 2.81677i −0.0965011 0.167145i
\(285\) 7.16598 12.4118i 0.424476 0.735214i
\(286\) −4.67557 0.989280i −0.276472 0.0584974i
\(287\) −4.49069 + 7.82997i −0.265077 + 0.462189i
\(288\) 1.00000i 0.0589256i
\(289\) 3.32981 5.76740i 0.195871 0.339259i
\(290\) 6.58749 3.80329i 0.386831 0.223337i
\(291\) −8.90130 15.4175i −0.521803 0.903790i
\(292\) 2.50002 4.33016i 0.146303 0.253403i
\(293\) −9.03175 −0.527640 −0.263820 0.964572i \(-0.584983\pi\)
−0.263820 + 0.964572i \(0.584983\pi\)
\(294\) 3.53478 + 6.04196i 0.206153 + 0.352374i
\(295\) 1.23982 0.0721851
\(296\) 7.91644 + 4.57056i 0.460134 + 0.265658i
\(297\) 1.02783 + 3.15334i 0.0596405 + 0.182976i
\(298\) −7.52705 13.0372i −0.436030 0.755226i
\(299\) 4.53387 7.85289i 0.262200 0.454144i
\(300\) 0.416608i 0.0240529i
\(301\) 4.34338 + 2.49104i 0.250348 + 0.143581i
\(302\) 12.9911 0.747552
\(303\) −9.26399 5.34857i −0.532203 0.307267i
\(304\) −3.07901 5.33301i −0.176594 0.305869i
\(305\) 0.942123 0.543935i 0.0539458 0.0311456i
\(306\) 2.78483 + 1.60782i 0.159198 + 0.0919131i
\(307\) 3.52291 0.201063 0.100531 0.994934i \(-0.467946\pi\)
0.100531 + 0.994934i \(0.467946\pi\)
\(308\) 8.33511 2.74333i 0.474937 0.156316i
\(309\) 13.6074 0.774098
\(310\) 6.23016 + 3.59698i 0.353849 + 0.204295i
\(311\) 4.83852 2.79352i 0.274367 0.158406i −0.356503 0.934294i \(-0.616031\pi\)
0.630871 + 0.775888i \(0.282698\pi\)
\(312\) 0.720474 + 1.24790i 0.0407888 + 0.0706483i
\(313\) 4.57178 + 2.63952i 0.258412 + 0.149194i 0.623610 0.781736i \(-0.285665\pi\)
−0.365198 + 0.930930i \(0.618999\pi\)
\(314\) 11.5286 0.650594
\(315\) −0.0176950 6.15759i −0.000997001 0.346941i
\(316\) 8.32842i 0.468510i
\(317\) −15.8432 + 27.4412i −0.889843 + 1.54125i −0.0497829 + 0.998760i \(0.515853\pi\)
−0.840060 + 0.542493i \(0.817480\pi\)
\(318\) −4.60856 7.98226i −0.258435 0.447623i
\(319\) 3.35927 + 10.3062i 0.188083 + 0.577034i
\(320\) 2.01555 + 1.16368i 0.112673 + 0.0650517i
\(321\) −9.39572 −0.524418
\(322\) 0.0478451 + 16.6494i 0.00266630 + 0.927833i
\(323\) 19.8020 1.10181
\(324\) 0.500000 0.866025i 0.0277778 0.0481125i
\(325\) −0.300155 0.519884i −0.0166496 0.0288380i
\(326\) −7.19989 + 4.15686i −0.398765 + 0.230227i
\(327\) 3.56846 6.18076i 0.197336 0.341797i
\(328\) 3.41163i 0.188376i
\(329\) 24.3598 14.1577i 1.34300 0.780537i
\(330\) −7.55179 1.59785i −0.415713 0.0879586i
\(331\) 1.95793 3.39124i 0.107618 0.186399i −0.807187 0.590296i \(-0.799011\pi\)
0.914805 + 0.403896i \(0.132344\pi\)
\(332\) 2.28065 + 3.95020i 0.125167 + 0.216796i
\(333\) 4.57056 + 7.91644i 0.250465 + 0.433818i
\(334\) 13.4527 + 7.76692i 0.736099 + 0.424987i
\(335\) 21.4744i 1.17327i
\(336\) −2.29508 1.31629i −0.125207 0.0718093i
\(337\) 20.0534i 1.09238i 0.837662 + 0.546189i \(0.183922\pi\)
−0.837662 + 0.546189i \(0.816078\pi\)
\(338\) 9.46018 + 5.46184i 0.514566 + 0.297085i
\(339\) −2.72884 + 1.57550i −0.148210 + 0.0855694i
\(340\) −6.48131 + 3.74198i −0.351498 + 0.202938i
\(341\) −6.85272 + 7.62496i −0.371096 + 0.412915i
\(342\) 6.15803i 0.332988i
\(343\) 18.5196 0.159662i 0.999963 0.00862094i
\(344\) −1.89247 −0.102035
\(345\) 7.32292 12.6837i 0.394253 0.682866i
\(346\) 11.4357 6.60240i 0.614786 0.354947i
\(347\) −24.6999 + 14.2605i −1.32596 + 0.765545i −0.984673 0.174413i \(-0.944197\pi\)
−0.341290 + 0.939958i \(0.610864\pi\)
\(348\) 1.63416 2.83045i 0.0876003 0.151728i
\(349\) 15.3941 0.824027 0.412014 0.911178i \(-0.364826\pi\)
0.412014 + 0.911178i \(0.364826\pi\)
\(350\) 0.956149 + 0.548375i 0.0511083 + 0.0293119i
\(351\) 1.44095i 0.0769121i
\(352\) −2.21696 + 2.46679i −0.118165 + 0.131481i
\(353\) 4.80016 2.77137i 0.255487 0.147505i −0.366787 0.930305i \(-0.619542\pi\)
0.622274 + 0.782800i \(0.286209\pi\)
\(354\) 0.461345 0.266358i 0.0245202 0.0141567i
\(355\) 6.55565 + 3.78491i 0.347938 + 0.200882i
\(356\) 4.38104i 0.232195i
\(357\) 7.35572 4.27506i 0.389306 0.226260i
\(358\) 18.8708i 0.997351i
\(359\) 17.9527 + 10.3650i 0.947508 + 0.547044i 0.892306 0.451431i \(-0.149086\pi\)
0.0552018 + 0.998475i \(0.482420\pi\)
\(360\) 1.16368 + 2.01555i 0.0613313 + 0.106229i
\(361\) −9.46065 16.3863i −0.497929 0.862439i
\(362\) 1.97224 3.41602i 0.103659 0.179542i
\(363\) 4.45541 10.0573i 0.233848 0.527871i
\(364\) 3.81237 0.0109556i 0.199823 0.000574228i
\(365\) 11.6369i 0.609103i
\(366\) 0.233713 0.404803i 0.0122164 0.0211594i
\(367\) −30.3880 + 17.5445i −1.58624 + 0.915816i −0.592320 + 0.805703i \(0.701788\pi\)
−0.993919 + 0.110113i \(0.964879\pi\)
\(368\) −3.14645 5.44981i −0.164020 0.284091i
\(369\) 1.70582 2.95456i 0.0888013 0.153808i
\(370\) −21.2747 −1.10602
\(371\) −24.3861 + 0.0700781i −1.26606 + 0.00363827i
\(372\) 3.09104 0.160263
\(373\) 21.2225 + 12.2528i 1.09886 + 0.634427i 0.935921 0.352210i \(-0.114570\pi\)
0.162938 + 0.986636i \(0.447903\pi\)
\(374\) −3.30512 10.1400i −0.170904 0.524329i
\(375\) 5.33360 + 9.23807i 0.275426 + 0.477052i
\(376\) −5.32461 + 9.22249i −0.274596 + 0.475614i
\(377\) 4.70949i 0.242551i
\(378\) −1.32945 2.28748i −0.0683798 0.117655i
\(379\) −3.42705 −0.176036 −0.0880179 0.996119i \(-0.528053\pi\)
−0.0880179 + 0.996119i \(0.528053\pi\)
\(380\) 12.4118 + 7.16598i 0.636714 + 0.367607i
\(381\) −5.40449 9.36086i −0.276881 0.479571i
\(382\) 20.3722 11.7619i 1.04233 0.601791i
\(383\) −28.2806 16.3278i −1.44507 0.834312i −0.446889 0.894590i \(-0.647468\pi\)
−0.998182 + 0.0602779i \(0.980801\pi\)
\(384\) 1.00000 0.0510310
\(385\) −13.6075 + 15.2287i −0.693503 + 0.776129i
\(386\) 20.7965 1.05852
\(387\) −1.63893 0.946236i −0.0833115 0.0480999i
\(388\) 15.4175 8.90130i 0.782705 0.451895i
\(389\) −9.28386 16.0801i −0.470711 0.815295i 0.528728 0.848791i \(-0.322669\pi\)
−0.999439 + 0.0334965i \(0.989336\pi\)
\(390\) −2.90431 1.67680i −0.147065 0.0849082i
\(391\) 20.2357 1.02336
\(392\) −6.04196 + 3.53478i −0.305165 + 0.178534i
\(393\) 10.9712i 0.553422i
\(394\) 10.6837 18.5048i 0.538239 0.932258i
\(395\) 9.69162 + 16.7864i 0.487639 + 0.844615i
\(396\) −3.15334 + 1.02783i −0.158461 + 0.0516502i
\(397\) −4.84409 2.79674i −0.243118 0.140364i 0.373491 0.927634i \(-0.378161\pi\)
−0.616609 + 0.787270i \(0.711494\pi\)
\(398\) −20.0431 −1.00467
\(399\) −14.1332 8.10572i −0.707543 0.405794i
\(400\) −0.416608 −0.0208304
\(401\) 5.17676 8.96641i 0.258515 0.447761i −0.707329 0.706884i \(-0.750100\pi\)
0.965844 + 0.259123i \(0.0834335\pi\)
\(402\) −4.61347 7.99077i −0.230099 0.398543i
\(403\) −3.85730 + 2.22701i −0.192146 + 0.110935i
\(404\) 5.34857 9.26399i 0.266101 0.460901i
\(405\) 2.32736i 0.115647i
\(406\) −4.34509 7.47622i −0.215643 0.371039i
\(407\) 6.27582 29.6610i 0.311081 1.47024i
\(408\) −1.60782 + 2.78483i −0.0795991 + 0.137870i
\(409\) 10.4458 + 18.0927i 0.516512 + 0.894625i 0.999816 + 0.0191723i \(0.00610312\pi\)
−0.483304 + 0.875452i \(0.660564\pi\)
\(410\) 3.97005 + 6.87633i 0.196067 + 0.339598i
\(411\) −8.37102 4.83301i −0.412912 0.238395i
\(412\) 13.6074i 0.670388i
\(413\) −0.00405025 1.40943i −0.000199300 0.0693533i
\(414\) 6.29290i 0.309279i
\(415\) −9.19355 5.30790i −0.451293 0.260554i
\(416\) −1.24790 + 0.720474i −0.0611832 + 0.0353241i
\(417\) 20.2386 11.6848i 0.991088 0.572205i
\(418\) −13.6521 + 15.1906i −0.667747 + 0.742996i
\(419\) 7.59471i 0.371026i −0.982642 0.185513i \(-0.940605\pi\)
0.982642 0.185513i \(-0.0593946\pi\)
\(420\) 6.15759 0.0176950i 0.300460 0.000863428i
\(421\) −29.9360 −1.45899 −0.729496 0.683985i \(-0.760246\pi\)
−0.729496 + 0.683985i \(0.760246\pi\)
\(422\) 1.02325 1.77233i 0.0498112 0.0862756i
\(423\) −9.22249 + 5.32461i −0.448413 + 0.258891i
\(424\) 7.98226 4.60856i 0.387653 0.223812i
\(425\) 0.669832 1.16018i 0.0324916 0.0562771i
\(426\) 3.25253 0.157586
\(427\) −0.621422 1.06923i −0.0300727 0.0517435i
\(428\) 9.39572i 0.454159i
\(429\) 3.19453 3.55452i 0.154233 0.171614i
\(430\) 3.81438 2.20223i 0.183946 0.106201i
\(431\) 28.8852 16.6769i 1.39135 0.803297i 0.397886 0.917435i \(-0.369744\pi\)
0.993465 + 0.114138i \(0.0364105\pi\)
\(432\) 0.866025 + 0.500000i 0.0416667 + 0.0240563i
\(433\) 27.7837i 1.33520i 0.744521 + 0.667599i \(0.232678\pi\)
−0.744521 + 0.667599i \(0.767322\pi\)
\(434\) 4.06869 7.09419i 0.195304 0.340532i
\(435\) 7.60657i 0.364707i
\(436\) 6.18076 + 3.56846i 0.296005 + 0.170898i
\(437\) −19.3759 33.5601i −0.926876 1.60540i
\(438\) 2.50002 + 4.33016i 0.119456 + 0.206903i
\(439\) 15.5488 26.9314i 0.742105 1.28536i −0.209429 0.977824i \(-0.567161\pi\)
0.951535 0.307541i \(-0.0995060\pi\)
\(440\) 1.59785 7.55179i 0.0761743 0.360018i
\(441\) −6.99988 + 0.0402313i −0.333328 + 0.00191578i
\(442\) 4.63358i 0.220397i
\(443\) 2.50430 4.33757i 0.118983 0.206084i −0.800382 0.599490i \(-0.795370\pi\)
0.919365 + 0.393406i \(0.128703\pi\)
\(444\) −7.91644 + 4.57056i −0.375697 + 0.216909i
\(445\) 5.09813 + 8.83022i 0.241675 + 0.418593i
\(446\) 11.6902 20.2480i 0.553548 0.958773i
\(447\) 15.0541 0.712034
\(448\) 1.31629 2.29508i 0.0621887 0.108432i
\(449\) 24.8715 1.17376 0.586880 0.809674i \(-0.300356\pi\)
0.586880 + 0.809674i \(0.300356\pi\)
\(450\) −0.360793 0.208304i −0.0170080 0.00981954i
\(451\) −10.7581 + 3.50656i −0.506577 + 0.165118i
\(452\) −1.57550 2.72884i −0.0741052 0.128354i
\(453\) −6.49554 + 11.2506i −0.305187 + 0.528599i
\(454\) 13.9483i 0.654625i
\(455\) −7.67129 + 4.45846i −0.359636 + 0.209016i
\(456\) 6.15803 0.288376
\(457\) −6.59453 3.80735i −0.308479 0.178100i 0.337767 0.941230i \(-0.390329\pi\)
−0.646246 + 0.763129i \(0.723662\pi\)
\(458\) 7.50744 + 13.0033i 0.350800 + 0.607603i
\(459\) −2.78483 + 1.60782i −0.129985 + 0.0750467i
\(460\) 12.6837 + 7.32292i 0.591379 + 0.341433i
\(461\) 8.56061 0.398707 0.199354 0.979928i \(-0.436116\pi\)
0.199354 + 0.979928i \(0.436116\pi\)
\(462\) −1.79176 + 8.59009i −0.0833602 + 0.399647i
\(463\) −2.87221 −0.133483 −0.0667415 0.997770i \(-0.521260\pi\)
−0.0667415 + 0.997770i \(0.521260\pi\)
\(464\) 2.83045 + 1.63416i 0.131401 + 0.0758641i
\(465\) −6.23016 + 3.59698i −0.288917 + 0.166806i
\(466\) 8.22109 + 14.2393i 0.380835 + 0.659625i
\(467\) −7.84052 4.52673i −0.362816 0.209472i 0.307499 0.951548i \(-0.400508\pi\)
−0.670315 + 0.742076i \(0.733841\pi\)
\(468\) −1.44095 −0.0666078
\(469\) −24.4121 + 0.0701528i −1.12725 + 0.00323935i
\(470\) 24.7846i 1.14323i
\(471\) −5.76428 + 9.98402i −0.265604 + 0.460039i
\(472\) 0.266358 + 0.461345i 0.0122601 + 0.0212351i
\(473\) 1.94513 + 5.96762i 0.0894373 + 0.274391i
\(474\) 7.21263 + 4.16421i 0.331287 + 0.191269i
\(475\) −2.56548 −0.117712
\(476\) 4.27506 + 7.35572i 0.195947 + 0.337149i
\(477\) 9.21712 0.422023
\(478\) 12.3975 21.4731i 0.567050 0.982159i
\(479\) 15.5977 + 27.0160i 0.712677 + 1.23439i 0.963849 + 0.266450i \(0.0858507\pi\)
−0.251172 + 0.967943i \(0.580816\pi\)
\(480\) −2.01555 + 1.16368i −0.0919970 + 0.0531145i
\(481\) 6.58593 11.4072i 0.300293 0.520122i
\(482\) 22.2195i 1.01207i
\(483\) −14.4427 8.28325i −0.657166 0.376901i
\(484\) 10.0573 + 4.45541i 0.457150 + 0.202519i
\(485\) −20.7165 + 35.8821i −0.940689 + 1.62932i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −18.0368 31.2407i −0.817327 1.41565i −0.907645 0.419738i \(-0.862122\pi\)
0.0903185 0.995913i \(-0.471211\pi\)
\(488\) 0.404803 + 0.233713i 0.0183246 + 0.0105797i
\(489\) 8.31371i 0.375959i
\(490\) 8.06454 14.1555i 0.364319 0.639478i
\(491\) 26.7561i 1.20749i −0.797179 0.603744i \(-0.793675\pi\)
0.797179 0.603744i \(-0.206325\pi\)
\(492\) 2.95456 + 1.70582i 0.133202 + 0.0769042i
\(493\) −9.10174 + 5.25489i −0.409922 + 0.236668i
\(494\) −7.68458 + 4.43670i −0.345746 + 0.199616i
\(495\) 5.15967 5.74112i 0.231910 0.258044i
\(496\) 3.09104i 0.138792i
\(497\) 4.28126 7.46482i 0.192041 0.334843i
\(498\) −4.56130 −0.204397
\(499\) −14.0487 + 24.3330i −0.628906 + 1.08930i 0.358866 + 0.933389i \(0.383164\pi\)
−0.987772 + 0.155907i \(0.950170\pi\)
\(500\) −9.23807 + 5.33360i −0.413139 + 0.238526i
\(501\) −13.4527 + 7.76692i −0.601022 + 0.347000i
\(502\) 2.36708 4.09990i 0.105648 0.182987i
\(503\) −16.3197 −0.727660 −0.363830 0.931465i \(-0.618531\pi\)
−0.363830 + 0.931465i \(0.618531\pi\)
\(504\) 2.28748 1.32945i 0.101892 0.0592186i
\(505\) 24.8961i 1.10786i
\(506\) −13.9511 + 15.5233i −0.620203 + 0.690094i
\(507\) −9.46018 + 5.46184i −0.420141 + 0.242569i
\(508\) 9.36086 5.40449i 0.415321 0.239786i
\(509\) 3.92989 + 2.26892i 0.174189 + 0.100568i 0.584560 0.811351i \(-0.301267\pi\)
−0.410370 + 0.911919i \(0.634601\pi\)
\(510\) 7.48397i 0.331396i
\(511\) 13.2288 0.0380155i 0.585208 0.00168171i
\(512\) 1.00000i 0.0441942i
\(513\) 5.33301 + 3.07901i 0.235458 + 0.135942i
\(514\) 6.11764 + 10.5961i 0.269838 + 0.467373i
\(515\) −15.8347 27.4264i −0.697758 1.20855i
\(516\) 0.946236 1.63893i 0.0416557 0.0721499i
\(517\) 34.5545 + 7.31121i 1.51970 + 0.321546i
\(518\) 0.0695002 + 24.1850i 0.00305366 + 1.06263i
\(519\) 13.2048i 0.579626i
\(520\) 1.67680 2.90431i 0.0735326 0.127362i
\(521\) −0.675518 + 0.390011i −0.0295950 + 0.0170867i −0.514725 0.857356i \(-0.672106\pi\)
0.485130 + 0.874442i \(0.338772\pi\)
\(522\) 1.63416 + 2.83045i 0.0715254 + 0.123886i
\(523\) 5.88383 10.1911i 0.257282 0.445626i −0.708231 0.705981i \(-0.750506\pi\)
0.965513 + 0.260355i \(0.0838397\pi\)
\(524\) 10.9712 0.479278
\(525\) −0.952981 + 0.553861i −0.0415915 + 0.0241725i
\(526\) 19.2700 0.840214
\(527\) −8.60803 4.96985i −0.374972 0.216490i
\(528\) −1.02783 3.15334i −0.0447304 0.137232i
\(529\) −8.30028 14.3765i −0.360882 0.625065i
\(530\) −10.7258 + 18.5776i −0.465898 + 0.806959i
\(531\) 0.532715i 0.0231179i
\(532\) 8.10572 14.1332i 0.351428 0.612750i
\(533\) −4.91598 −0.212935
\(534\) 3.79409 + 2.19052i 0.164186 + 0.0947931i
\(535\) 10.9336 + 18.9376i 0.472702 + 0.818743i
\(536\) 7.99077 4.61347i 0.345149 0.199272i
\(537\) 16.3426 + 9.43539i 0.705234 + 0.407167i
\(538\) −22.0893 −0.952338
\(539\) 17.3565 + 15.4192i 0.747596 + 0.664154i
\(540\) −2.32736 −0.100154
\(541\) −9.27327 5.35393i −0.398689 0.230183i 0.287229 0.957862i \(-0.407266\pi\)
−0.685918 + 0.727679i \(0.740599\pi\)
\(542\) −1.05751 + 0.610555i −0.0454240 + 0.0262256i
\(543\) 1.97224 + 3.41602i 0.0846369 + 0.146595i
\(544\) −2.78483 1.60782i −0.119399 0.0689348i
\(545\) −16.6102 −0.711503
\(546\) −1.89670 + 3.30709i −0.0811712 + 0.141530i
\(547\) 19.5154i 0.834419i −0.908810 0.417210i \(-0.863008\pi\)
0.908810 0.417210i \(-0.136992\pi\)
\(548\) 4.83301 8.37102i 0.206456 0.357592i
\(549\) 0.233713 + 0.404803i 0.00997464 + 0.0172766i
\(550\) 0.428200 + 1.31371i 0.0182585 + 0.0560167i
\(551\) 17.4300 + 10.0632i 0.742544 + 0.428708i
\(552\) 6.29290 0.267843
\(553\) 19.0511 11.0723i 0.810134 0.470841i
\(554\) −12.5089 −0.531450
\(555\) 10.6373 18.4244i 0.451530 0.782072i
\(556\) 11.6848 + 20.2386i 0.495544 + 0.858308i
\(557\) −5.25260 + 3.03259i −0.222560 + 0.128495i −0.607135 0.794599i \(-0.707681\pi\)
0.384575 + 0.923094i \(0.374348\pi\)
\(558\) −1.54552 + 2.67692i −0.0654271 + 0.113323i
\(559\) 2.72695i 0.115338i
\(560\) 0.0176950 + 6.15759i 0.000747751 + 0.260206i
\(561\) 10.4341 + 2.20770i 0.440528 + 0.0932091i
\(562\) 12.6747 21.9533i 0.534651 0.926043i
\(563\) −0.122186 0.211633i −0.00514953 0.00891925i 0.863439 0.504453i \(-0.168306\pi\)
−0.868589 + 0.495534i \(0.834972\pi\)
\(564\) −5.32461 9.22249i −0.224206 0.388337i
\(565\) 6.35100 + 3.66675i 0.267189 + 0.154262i
\(566\) 2.76444i 0.116198i
\(567\) 2.64574 0.00760304i 0.111111 0.000319298i
\(568\) 3.25253i 0.136473i
\(569\) 7.44979 + 4.30114i 0.312311 + 0.180313i 0.647960 0.761674i \(-0.275622\pi\)
−0.335649 + 0.941987i \(0.608956\pi\)
\(570\) −12.4118 + 7.16598i −0.519875 + 0.300150i
\(571\) −26.9418 + 15.5548i −1.12748 + 0.650950i −0.943299 0.331943i \(-0.892296\pi\)
−0.184178 + 0.982893i \(0.558962\pi\)
\(572\) 3.55452 + 3.19453i 0.148622 + 0.133570i
\(573\) 23.5238i 0.982721i
\(574\) 7.80403 4.53561i 0.325734 0.189313i
\(575\) −2.62167 −0.109331
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) −35.4669 + 20.4768i −1.47651 + 0.852462i −0.999648 0.0265176i \(-0.991558\pi\)
−0.476859 + 0.878980i \(0.658225\pi\)
\(578\) −5.76740 + 3.32981i −0.239892 + 0.138502i
\(579\) −10.3983 + 18.0103i −0.432137 + 0.748484i
\(580\) −7.60657 −0.315846
\(581\) −6.00398 + 10.4686i −0.249087 + 0.434309i
\(582\) 17.8026i 0.737941i
\(583\) −22.7367 20.4340i −0.941660 0.846290i
\(584\) −4.33016 + 2.50002i −0.179183 + 0.103451i
\(585\) 2.90431 1.67680i 0.120078 0.0693272i
\(586\) 7.82172 + 4.51587i 0.323112 + 0.186549i
\(587\) 33.6048i 1.38702i −0.720449 0.693508i \(-0.756064\pi\)
0.720449 0.693508i \(-0.243936\pi\)
\(588\) −0.0402313 6.99988i −0.00165911 0.288670i
\(589\) 19.0347i 0.784312i
\(590\) −1.07372 0.619910i −0.0442042 0.0255213i
\(591\) 10.6837 + 18.5048i 0.439471 + 0.761186i
\(592\) −4.57056 7.91644i −0.187849 0.325364i
\(593\) 13.3626 23.1448i 0.548738 0.950442i −0.449624 0.893218i \(-0.648442\pi\)
0.998361 0.0572237i \(-0.0182248\pi\)
\(594\) 0.686549 3.24479i 0.0281694 0.133135i
\(595\) −17.1763 9.85104i −0.704160 0.403853i
\(596\) 15.0541i 0.616640i
\(597\) 10.0216 17.3579i 0.410155 0.710410i
\(598\) −7.85289 + 4.53387i −0.321128 + 0.185404i
\(599\) −12.4072 21.4899i −0.506945 0.878055i −0.999968 0.00803859i \(-0.997441\pi\)
0.493022 0.870017i \(-0.335892\pi\)
\(600\) 0.208304 0.360793i 0.00850398 0.0147293i
\(601\) −17.8950 −0.729952 −0.364976 0.931017i \(-0.618923\pi\)
−0.364976 + 0.931017i \(0.618923\pi\)
\(602\) −2.51596 4.32899i −0.102543 0.176436i
\(603\) 9.22694 0.375750
\(604\) −11.2506 6.49554i −0.457780 0.264300i
\(605\) −25.4557 + 2.72337i −1.03492 + 0.110721i
\(606\) 5.34857 + 9.26399i 0.217271 + 0.376324i
\(607\) −16.4712 + 28.5290i −0.668546 + 1.15796i 0.309765 + 0.950813i \(0.399750\pi\)
−0.978311 + 0.207142i \(0.933584\pi\)
\(608\) 6.15803i 0.249741i
\(609\) 8.64714 0.0248492i 0.350400 0.00100694i
\(610\) −1.08787 −0.0440466
\(611\) 13.2891 + 7.67248i 0.537620 + 0.310395i
\(612\) −1.60782 2.78483i −0.0649924 0.112570i
\(613\) −7.51244 + 4.33731i −0.303425 + 0.175182i −0.643980 0.765042i \(-0.722718\pi\)
0.340556 + 0.940224i \(0.389385\pi\)
\(614\) −3.05093 1.76145i −0.123125 0.0710865i
\(615\) −7.94010 −0.320176
\(616\) −8.59009 1.79176i −0.346104 0.0721920i
\(617\) 32.6421 1.31412 0.657061 0.753837i \(-0.271799\pi\)
0.657061 + 0.753837i \(0.271799\pi\)
\(618\) −11.7844 6.80370i −0.474036 0.273685i
\(619\) −13.6975 + 7.90825i −0.550549 + 0.317859i −0.749343 0.662182i \(-0.769631\pi\)
0.198795 + 0.980041i \(0.436297\pi\)
\(620\) −3.59698 6.23016i −0.144458 0.250209i
\(621\) 5.44981 + 3.14645i 0.218693 + 0.126263i
\(622\) −5.58704 −0.224020
\(623\) 10.0215 5.82439i 0.401504 0.233349i
\(624\) 1.44095i 0.0576841i
\(625\) 13.4547 23.3043i 0.538190 0.932172i
\(626\) −2.63952 4.57178i −0.105496 0.182725i
\(627\) −6.32938 19.4184i −0.252771 0.775495i
\(628\) −9.98402 5.76428i −0.398406 0.230020i
\(629\) 29.3946 1.17204
\(630\) −3.06347 + 5.34148i −0.122052 + 0.212810i
\(631\) 40.7984 1.62416 0.812080 0.583546i \(-0.198335\pi\)
0.812080 + 0.583546i \(0.198335\pi\)
\(632\) −4.16421 + 7.21263i −0.165643 + 0.286903i
\(633\) 1.02325 + 1.77233i 0.0406707 + 0.0704437i
\(634\) 27.4412 15.8432i 1.08983 0.629214i
\(635\) −12.5782 + 21.7861i −0.499151 + 0.864555i
\(636\) 9.21712i 0.365483i
\(637\) 5.09344 + 8.70615i 0.201809 + 0.344950i
\(638\) 2.24387 10.6050i 0.0888355 0.419857i
\(639\) −1.62627 + 2.81677i −0.0643341 + 0.111430i
\(640\) −1.16368 2.01555i −0.0459985 0.0796717i
\(641\) −11.9591 20.7137i −0.472354 0.818142i 0.527145 0.849775i \(-0.323262\pi\)
−0.999500 + 0.0316335i \(0.989929\pi\)
\(642\) 8.13694 + 4.69786i 0.321139 + 0.185410i
\(643\) 19.6140i 0.773502i 0.922184 + 0.386751i \(0.126403\pi\)
−0.922184 + 0.386751i \(0.873597\pi\)
\(644\) 8.28325 14.4427i 0.326406 0.569122i
\(645\) 4.40447i 0.173426i
\(646\) −17.1491 9.90102i −0.674721 0.389550i
\(647\) 22.5941 13.0447i 0.888267 0.512841i 0.0148918 0.999889i \(-0.495260\pi\)
0.873375 + 0.487048i \(0.161926\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) 1.18101 1.31410i 0.0463587 0.0515829i
\(650\) 0.600310i 0.0235461i
\(651\) 4.10940 + 7.07068i 0.161060 + 0.277122i
\(652\) 8.31371 0.325590
\(653\) 10.8589 18.8082i 0.424942 0.736020i −0.571473 0.820621i \(-0.693628\pi\)
0.996415 + 0.0846002i \(0.0269613\pi\)
\(654\) −6.18076 + 3.56846i −0.241687 + 0.139538i
\(655\) −22.1130 + 12.7669i −0.864026 + 0.498846i
\(656\) −1.70582 + 2.95456i −0.0666010 + 0.115356i
\(657\) −5.00004 −0.195070
\(658\) −28.1751 + 0.0809664i −1.09838 + 0.00315640i
\(659\) 12.7596i 0.497044i −0.968626 0.248522i \(-0.920055\pi\)
0.968626 0.248522i \(-0.0799448\pi\)
\(660\) 5.74112 + 5.15967i 0.223473 + 0.200840i
\(661\) −19.9646 + 11.5266i −0.776533 + 0.448332i −0.835200 0.549946i \(-0.814648\pi\)
0.0586670 + 0.998278i \(0.481315\pi\)
\(662\) −3.39124 + 1.95793i −0.131804 + 0.0760972i
\(663\) 4.01279 + 2.31679i 0.155844 + 0.0899766i
\(664\) 4.56130i 0.177013i
\(665\) 0.108966 + 37.9186i 0.00422553 + 1.47042i
\(666\) 9.14111i 0.354211i
\(667\) 17.8118 + 10.2836i 0.689674 + 0.398183i
\(668\) −7.76692 13.4527i −0.300511 0.520500i
\(669\) 11.6902 + 20.2480i 0.451970 + 0.782835i
\(670\) −10.7372 + 18.5974i −0.414815 + 0.718480i
\(671\) 0.320911 1.51670i 0.0123886 0.0585516i
\(672\) 1.32945 + 2.28748i 0.0512848 + 0.0882413i
\(673\) 10.4212i 0.401709i −0.979621 0.200854i \(-0.935628\pi\)
0.979621 0.200854i \(-0.0643718\pi\)
\(674\) 10.0267 17.3668i 0.386214 0.668942i
\(675\) 0.360793 0.208304i 0.0138869 0.00801762i
\(676\) −5.46184 9.46018i −0.210071 0.363853i
\(677\) 7.14285 12.3718i 0.274522 0.475486i −0.695492 0.718534i \(-0.744814\pi\)
0.970014 + 0.243047i \(0.0781470\pi\)
\(678\) 3.15100 0.121013
\(679\) 40.8584 + 23.4333i 1.56800 + 0.899287i
\(680\) 7.48397 0.286997
\(681\) 12.0796 + 6.97413i 0.462890 + 0.267249i
\(682\) 9.74711 3.17705i 0.373236 0.121656i
\(683\) 17.3671 + 30.0806i 0.664532 + 1.15100i 0.979412 + 0.201872i \(0.0647025\pi\)
−0.314880 + 0.949132i \(0.601964\pi\)
\(684\) −3.07901 + 5.33301i −0.117729 + 0.203913i
\(685\) 22.4963i 0.859540i
\(686\) −16.1182 9.12151i −0.615398 0.348261i
\(687\) −15.0149 −0.572854
\(688\) 1.63893 + 0.946236i 0.0624836 + 0.0360749i
\(689\) −6.64069 11.5020i −0.252990 0.438192i
\(690\) −12.6837 + 7.32292i −0.482859 + 0.278779i
\(691\) 7.08434 + 4.09015i 0.269501 + 0.155596i 0.628661 0.777680i \(-0.283603\pi\)
−0.359160 + 0.933276i \(0.616937\pi\)
\(692\) −13.2048 −0.501971
\(693\) −6.54335 5.84675i −0.248561 0.222100i
\(694\) 28.5210 1.08264
\(695\) −47.1025 27.1946i −1.78670 1.03155i
\(696\) −2.83045 + 1.63416i −0.107288 + 0.0619428i
\(697\) −5.48530 9.50082i −0.207771 0.359869i
\(698\) −13.3317 7.69705i −0.504612 0.291338i
\(699\) −16.4422 −0.621900
\(700\) −0.553861 0.952981i −0.0209340 0.0360193i
\(701\) 15.9970i 0.604198i 0.953277 + 0.302099i \(0.0976874\pi\)
−0.953277 + 0.302099i \(0.902313\pi\)
\(702\) 0.720474 1.24790i 0.0271925 0.0470988i
\(703\) −28.1456 48.7496i −1.06153 1.83863i
\(704\) 3.15334 1.02783i 0.118846 0.0387376i
\(705\) 21.4641 + 12.3923i 0.808384 + 0.466720i
\(706\) −5.54275 −0.208604
\(707\) 28.3019 0.0813307i 1.06440 0.00305876i
\(708\) −0.532715 −0.0200207
\(709\) 4.39355 7.60985i 0.165003 0.285794i −0.771653 0.636043i \(-0.780570\pi\)
0.936656 + 0.350250i \(0.113903\pi\)
\(710\) −3.78491 6.55565i −0.142045 0.246029i
\(711\) −7.21263 + 4.16421i −0.270495 + 0.156170i
\(712\) −2.19052 + 3.79409i −0.0820932 + 0.142190i
\(713\) 19.4516i 0.728468i
\(714\) −8.50776 + 0.0244487i −0.318395 + 0.000914969i
\(715\) −10.8817 2.30241i −0.406954 0.0861053i
\(716\) −9.43539 + 16.3426i −0.352617 + 0.610750i
\(717\) 12.3975 + 21.4731i 0.462994 + 0.801929i
\(718\) −10.3650 17.9527i −0.386818 0.669989i
\(719\) −27.2393 15.7266i −1.01585 0.586503i −0.102953 0.994686i \(-0.532829\pi\)
−0.912900 + 0.408183i \(0.866163\pi\)
\(720\) 2.32736i 0.0867356i
\(721\) −31.1266 + 18.0904i −1.15922 + 0.673722i
\(722\) 18.9213i 0.704178i
\(723\) −19.2427 11.1098i −0.715643 0.413177i
\(724\) −3.41602 + 1.97224i −0.126955 + 0.0732977i
\(725\) 1.17919 0.680805i 0.0437940 0.0252845i
\(726\) −8.88715 + 6.48217i −0.329833 + 0.240576i
\(727\) 50.7040i 1.88051i −0.340475 0.940254i \(-0.610588\pi\)
0.340475 0.940254i \(-0.389412\pi\)
\(728\) −3.30709 1.89670i −0.122569 0.0702963i
\(729\) −1.00000 −0.0370370
\(730\) 5.81844 10.0778i 0.215350 0.372998i
\(731\) −5.27022 + 3.04276i −0.194926 + 0.112541i
\(732\) −0.404803 + 0.233713i −0.0149620 + 0.00863829i
\(733\) 3.99023 6.91128i 0.147382 0.255274i −0.782877 0.622177i \(-0.786249\pi\)
0.930259 + 0.366903i \(0.119582\pi\)
\(734\) 35.0890 1.29516
\(735\) 8.22672 + 14.0618i 0.303447 + 0.518678i
\(736\) 6.29290i 0.231959i
\(737\) −22.7610 20.4558i −0.838411 0.753499i
\(738\) −2.95456 + 1.70582i −0.108759 + 0.0627920i
\(739\) −38.2867 + 22.1048i −1.40840 + 0.813140i −0.995234 0.0975161i \(-0.968910\pi\)
−0.413166 + 0.910656i \(0.635577\pi\)
\(740\) 18.4244 + 10.6373i 0.677295 + 0.391036i
\(741\) 8.87339i 0.325972i
\(742\) 21.1540 + 12.1324i 0.776589 + 0.445393i
\(743\) 17.1346i 0.628607i −0.949323 0.314304i \(-0.898229\pi\)
0.949323 0.314304i \(-0.101771\pi\)
\(744\) −2.67692 1.54552i −0.0981407 0.0566615i
\(745\) −17.5182 30.3423i −0.641815 1.11166i
\(746\) −12.2528 21.2225i −0.448607 0.777011i
\(747\) 2.28065 3.95020i 0.0834446 0.144530i
\(748\) −2.20770 + 10.4341i −0.0807214 + 0.381508i
\(749\) 21.4925 12.4912i 0.785319 0.456418i
\(750\) 10.6672i 0.389511i
\(751\) 20.4417 35.4061i 0.745928 1.29199i −0.203832 0.979006i \(-0.565340\pi\)
0.949760 0.312979i \(-0.101327\pi\)
\(752\) 9.22249 5.32461i 0.336310 0.194168i
\(753\) 2.36708 + 4.09990i 0.0862611 + 0.149409i
\(754\) 2.35474 4.07853i 0.0857547 0.148531i
\(755\) 30.2349 1.10036
\(756\) 0.00760304 + 2.64574i 0.000276520 + 0.0962246i
\(757\) −20.2420 −0.735709 −0.367855 0.929883i \(-0.619908\pi\)
−0.367855 + 0.929883i \(0.619908\pi\)
\(758\) 2.96791 + 1.71353i 0.107799 + 0.0622380i
\(759\) −6.46800 19.8437i −0.234774 0.720279i
\(760\) −7.16598 12.4118i −0.259937 0.450225i
\(761\) −22.7554 + 39.4136i −0.824884 + 1.42874i 0.0771248 + 0.997021i \(0.475426\pi\)
−0.902008 + 0.431719i \(0.857907\pi\)
\(762\) 10.8090i 0.391568i
\(763\) 0.0542623 + 18.8825i 0.00196443 + 0.683591i
\(764\) −23.5238 −0.851062
\(765\) 6.48131 + 3.74198i 0.234332 + 0.135292i
\(766\) 16.3278 + 28.2806i 0.589947 + 1.02182i
\(767\) 0.664773 0.383807i 0.0240036 0.0138585i
\(768\) −0.866025 0.500000i −0.0312500 0.0180422i
\(769\) 2.76998 0.0998881 0.0499440 0.998752i \(-0.484096\pi\)
0.0499440 + 0.998752i \(0.484096\pi\)
\(770\) 19.3988 6.38473i 0.699085 0.230090i
\(771\) −12.2353 −0.440643
\(772\) −18.0103 10.3983i −0.648206 0.374242i
\(773\) −9.93494 + 5.73594i −0.357335 + 0.206307i −0.667911 0.744241i \(-0.732811\pi\)
0.310576 + 0.950548i \(0.399478\pi\)
\(774\) 0.946236 + 1.63893i 0.0340118 + 0.0589101i
\(775\) 1.11523 +