Properties

Label 1110.2.ba.b.529.1
Level $1110$
Weight $2$
Character 1110.529
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1110.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 529.1
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.b.619.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.62555 - 1.53544i) q^{5} -1.00000i q^{6} +(2.75229 + 1.58904i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.62555 - 1.53544i) q^{5} -1.00000i q^{6} +(2.75229 + 1.58904i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(0.516959 - 2.17549i) q^{10} -3.88035 q^{11} +(0.866025 - 0.500000i) q^{12} +(-0.379707 + 0.657673i) q^{13} +3.17807i q^{14} +(0.640045 + 2.14251i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.69434 - 2.93468i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(4.55166 + 2.62790i) q^{19} +(2.14251 - 0.640045i) q^{20} +(-1.58904 - 2.75229i) q^{21} +(-1.94018 - 3.36048i) q^{22} -6.61653 q^{23} +(0.866025 + 0.500000i) q^{24} +(0.284822 + 4.99188i) q^{25} -0.759415 q^{26} -1.00000i q^{27} +(-2.75229 + 1.58904i) q^{28} -1.30709i q^{29} +(-1.53544 + 1.62555i) q^{30} +6.12433i q^{31} +(0.500000 - 0.866025i) q^{32} +(3.36048 + 1.94018i) q^{33} +(1.69434 - 2.93468i) q^{34} +(-2.03411 - 6.80904i) q^{35} -1.00000 q^{36} +(-6.05221 - 0.608935i) q^{37} +5.25580i q^{38} +(0.657673 - 0.379707i) q^{39} +(1.62555 + 1.53544i) q^{40} +(-5.17175 + 8.95773i) q^{41} +(1.58904 - 2.75229i) q^{42} -9.41844 q^{43} +(1.94018 - 3.36048i) q^{44} +(0.516959 - 2.17549i) q^{45} +(-3.30827 - 5.73009i) q^{46} +5.34620i q^{47} +1.00000i q^{48} +(1.55007 + 2.68480i) q^{49} +(-4.18068 + 2.74260i) q^{50} +3.38867i q^{51} +(-0.379707 - 0.657673i) q^{52} +(2.76662 - 1.59731i) q^{53} +(0.866025 - 0.500000i) q^{54} +(6.30770 + 5.95806i) q^{55} +(-2.75229 - 1.58904i) q^{56} +(-2.62790 - 4.55166i) q^{57} +(1.13197 - 0.653545i) q^{58} +(-5.34529 + 3.08610i) q^{59} +(-2.17549 - 0.516959i) q^{60} +(-8.45447 - 4.88119i) q^{61} +(-5.30382 + 3.06216i) q^{62} +3.17807i q^{63} +1.00000 q^{64} +(1.62705 - 0.486060i) q^{65} +3.88035i q^{66} +(-8.72817 - 5.03921i) q^{67} +3.38867 q^{68} +(5.73009 + 3.30827i) q^{69} +(4.87975 - 5.16611i) q^{70} +(-3.22083 + 5.57863i) q^{71} +(-0.500000 - 0.866025i) q^{72} -5.84525i q^{73} +(-2.49875 - 5.54583i) q^{74} +(2.24928 - 4.46551i) q^{75} +(-4.55166 + 2.62790i) q^{76} +(-10.6799 - 6.16602i) q^{77} +(0.657673 + 0.379707i) q^{78} +(7.39006 + 4.26665i) q^{79} +(-0.516959 + 2.17549i) q^{80} +(-0.500000 + 0.866025i) q^{81} -10.3435 q^{82} +(6.05368 - 3.49509i) q^{83} +3.17807 q^{84} +(-1.75181 + 7.37202i) q^{85} +(-4.70922 - 8.15661i) q^{86} +(-0.653545 + 1.13197i) q^{87} +3.88035 q^{88} +(-1.93582 + 1.11765i) q^{89} +(2.14251 - 0.640045i) q^{90} +(-2.09013 + 1.20674i) q^{91} +(3.30827 - 5.73009i) q^{92} +(3.06216 - 5.30382i) q^{93} +(-4.62995 + 2.67310i) q^{94} +(-3.36395 - 11.2606i) q^{95} +(-0.866025 + 0.500000i) q^{96} -4.77178 q^{97} +(-1.55007 + 2.68480i) q^{98} +(-1.94018 - 3.36048i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} + 4q^{5} - 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} + 4q^{5} - 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} + 14q^{13} + 2q^{15} - 18q^{16} - 18q^{18} + 6q^{19} - 2q^{20} + 2q^{22} + 20q^{23} - 2q^{25} + 28q^{26} - 2q^{30} + 18q^{32} + 6q^{33} - 20q^{35} - 36q^{36} - 20q^{37} + 6q^{39} - 4q^{40} + 10q^{41} - 2q^{44} + 2q^{45} + 10q^{46} + 10q^{49} - 4q^{50} + 14q^{52} + 12q^{53} + 40q^{55} - 8q^{57} - 30q^{58} + 18q^{59} - 4q^{60} - 6q^{61} + 12q^{62} + 36q^{64} - 32q^{65} - 36q^{67} + 12q^{69} - 40q^{70} - 24q^{71} - 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} + 24q^{77} + 6q^{78} - 2q^{80} - 18q^{81} + 20q^{82} - 36q^{83} + 26q^{85} + 10q^{87} - 4q^{88} - 2q^{90} - 36q^{91} - 10q^{92} - 12q^{93} + 12q^{94} + 18q^{95} - 52q^{97} - 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −1.62555 1.53544i −0.726968 0.686672i
\(6\) 1.00000i 0.408248i
\(7\) 2.75229 + 1.58904i 1.04027 + 0.600599i 0.919909 0.392131i \(-0.128262\pi\)
0.120359 + 0.992730i \(0.461595\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 0.516959 2.17549i 0.163477 0.687950i
\(11\) −3.88035 −1.16997 −0.584985 0.811044i \(-0.698900\pi\)
−0.584985 + 0.811044i \(0.698900\pi\)
\(12\) 0.866025 0.500000i 0.250000 0.144338i
\(13\) −0.379707 + 0.657673i −0.105312 + 0.182406i −0.913866 0.406017i \(-0.866917\pi\)
0.808554 + 0.588422i \(0.200251\pi\)
\(14\) 3.17807i 0.849375i
\(15\) 0.640045 + 2.14251i 0.165259 + 0.553193i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.69434 2.93468i −0.410937 0.711764i 0.584055 0.811714i \(-0.301465\pi\)
−0.994992 + 0.0999499i \(0.968132\pi\)
\(18\) −0.500000 + 0.866025i −0.117851 + 0.204124i
\(19\) 4.55166 + 2.62790i 1.04422 + 0.602882i 0.921026 0.389501i \(-0.127352\pi\)
0.123196 + 0.992382i \(0.460686\pi\)
\(20\) 2.14251 0.640045i 0.479079 0.143118i
\(21\) −1.58904 2.75229i −0.346756 0.600599i
\(22\) −1.94018 3.36048i −0.413647 0.716457i
\(23\) −6.61653 −1.37964 −0.689821 0.723980i \(-0.742311\pi\)
−0.689821 + 0.723980i \(0.742311\pi\)
\(24\) 0.866025 + 0.500000i 0.176777 + 0.102062i
\(25\) 0.284822 + 4.99188i 0.0569645 + 0.998376i
\(26\) −0.759415 −0.148934
\(27\) 1.00000i 0.192450i
\(28\) −2.75229 + 1.58904i −0.520134 + 0.300300i
\(29\) 1.30709i 0.242721i −0.992609 0.121360i \(-0.961274\pi\)
0.992609 0.121360i \(-0.0387256\pi\)
\(30\) −1.53544 + 1.62555i −0.280332 + 0.296783i
\(31\) 6.12433i 1.09996i 0.835177 + 0.549981i \(0.185365\pi\)
−0.835177 + 0.549981i \(0.814635\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 3.36048 + 1.94018i 0.584985 + 0.337741i
\(34\) 1.69434 2.93468i 0.290576 0.503293i
\(35\) −2.03411 6.80904i −0.343827 1.15094i
\(36\) −1.00000 −0.166667
\(37\) −6.05221 0.608935i −0.994977 0.100108i
\(38\) 5.25580i 0.852604i
\(39\) 0.657673 0.379707i 0.105312 0.0608019i
\(40\) 1.62555 + 1.53544i 0.257022 + 0.242775i
\(41\) −5.17175 + 8.95773i −0.807691 + 1.39896i 0.106768 + 0.994284i \(0.465950\pi\)
−0.914459 + 0.404678i \(0.867384\pi\)
\(42\) 1.58904 2.75229i 0.245194 0.424688i
\(43\) −9.41844 −1.43630 −0.718149 0.695889i \(-0.755011\pi\)
−0.718149 + 0.695889i \(0.755011\pi\)
\(44\) 1.94018 3.36048i 0.292492 0.506612i
\(45\) 0.516959 2.17549i 0.0770637 0.324303i
\(46\) −3.30827 5.73009i −0.487777 0.844855i
\(47\) 5.34620i 0.779824i 0.920852 + 0.389912i \(0.127495\pi\)
−0.920852 + 0.389912i \(0.872505\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 1.55007 + 2.68480i 0.221438 + 0.383543i
\(50\) −4.18068 + 2.74260i −0.591238 + 0.387863i
\(51\) 3.38867i 0.474509i
\(52\) −0.379707 0.657673i −0.0526559 0.0912028i
\(53\) 2.76662 1.59731i 0.380024 0.219407i −0.297804 0.954627i \(-0.596254\pi\)
0.677829 + 0.735220i \(0.262921\pi\)
\(54\) 0.866025 0.500000i 0.117851 0.0680414i
\(55\) 6.30770 + 5.95806i 0.850530 + 0.803385i
\(56\) −2.75229 1.58904i −0.367790 0.212344i
\(57\) −2.62790 4.55166i −0.348074 0.602882i
\(58\) 1.13197 0.653545i 0.148635 0.0858147i
\(59\) −5.34529 + 3.08610i −0.695897 + 0.401776i −0.805817 0.592164i \(-0.798274\pi\)
0.109920 + 0.993940i \(0.464940\pi\)
\(60\) −2.17549 0.516959i −0.280854 0.0667391i
\(61\) −8.45447 4.88119i −1.08248 0.624973i −0.150919 0.988546i \(-0.548223\pi\)
−0.931565 + 0.363574i \(0.881557\pi\)
\(62\) −5.30382 + 3.06216i −0.673586 + 0.388895i
\(63\) 3.17807i 0.400399i
\(64\) 1.00000 0.125000
\(65\) 1.62705 0.486060i 0.201811 0.0602883i
\(66\) 3.88035i 0.477638i
\(67\) −8.72817 5.03921i −1.06632 0.615638i −0.139144 0.990272i \(-0.544435\pi\)
−0.927173 + 0.374634i \(0.877768\pi\)
\(68\) 3.38867 0.410937
\(69\) 5.73009 + 3.30827i 0.689821 + 0.398269i
\(70\) 4.87975 5.16611i 0.583242 0.617469i
\(71\) −3.22083 + 5.57863i −0.382242 + 0.662062i −0.991382 0.131000i \(-0.958181\pi\)
0.609141 + 0.793062i \(0.291514\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) 5.84525i 0.684135i −0.939675 0.342067i \(-0.888873\pi\)
0.939675 0.342067i \(-0.111127\pi\)
\(74\) −2.49875 5.54583i −0.290474 0.644690i
\(75\) 2.24928 4.46551i 0.259724 0.515632i
\(76\) −4.55166 + 2.62790i −0.522111 + 0.301441i
\(77\) −10.6799 6.16602i −1.21708 0.702683i
\(78\) 0.657673 + 0.379707i 0.0744668 + 0.0429934i
\(79\) 7.39006 + 4.26665i 0.831446 + 0.480036i 0.854348 0.519702i \(-0.173957\pi\)
−0.0229014 + 0.999738i \(0.507290\pi\)
\(80\) −0.516959 + 2.17549i −0.0577978 + 0.243227i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −10.3435 −1.14225
\(83\) 6.05368 3.49509i 0.664477 0.383636i −0.129504 0.991579i \(-0.541338\pi\)
0.793981 + 0.607943i \(0.208005\pi\)
\(84\) 3.17807 0.346756
\(85\) −1.75181 + 7.37202i −0.190010 + 0.799608i
\(86\) −4.70922 8.15661i −0.507808 0.879550i
\(87\) −0.653545 + 1.13197i −0.0700674 + 0.121360i
\(88\) 3.88035 0.413647
\(89\) −1.93582 + 1.11765i −0.205197 + 0.118470i −0.599077 0.800691i \(-0.704466\pi\)
0.393880 + 0.919162i \(0.371132\pi\)
\(90\) 2.14251 0.640045i 0.225840 0.0674667i
\(91\) −2.09013 + 1.20674i −0.219105 + 0.126500i
\(92\) 3.30827 5.73009i 0.344911 0.597403i
\(93\) 3.06216 5.30382i 0.317532 0.549981i
\(94\) −4.62995 + 2.67310i −0.477543 + 0.275709i
\(95\) −3.36395 11.2606i −0.345134 1.15531i
\(96\) −0.866025 + 0.500000i −0.0883883 + 0.0510310i
\(97\) −4.77178 −0.484501 −0.242250 0.970214i \(-0.577886\pi\)
−0.242250 + 0.970214i \(0.577886\pi\)
\(98\) −1.55007 + 2.68480i −0.156581 + 0.271206i
\(99\) −1.94018 3.36048i −0.194995 0.337741i
\(100\) −4.46551 2.24928i −0.446551 0.224928i
\(101\) 2.01613 0.200612 0.100306 0.994957i \(-0.468018\pi\)
0.100306 + 0.994957i \(0.468018\pi\)
\(102\) −2.93468 + 1.69434i −0.290576 + 0.167764i
\(103\) −8.06815 −0.794978 −0.397489 0.917607i \(-0.630118\pi\)
−0.397489 + 0.917607i \(0.630118\pi\)
\(104\) 0.379707 0.657673i 0.0372334 0.0644901i
\(105\) −1.64293 + 6.91386i −0.160334 + 0.674724i
\(106\) 2.76662 + 1.59731i 0.268718 + 0.155144i
\(107\) 4.44127 + 2.56417i 0.429354 + 0.247887i 0.699071 0.715052i \(-0.253597\pi\)
−0.269718 + 0.962939i \(0.586930\pi\)
\(108\) 0.866025 + 0.500000i 0.0833333 + 0.0481125i
\(109\) −4.29464 + 2.47951i −0.411352 + 0.237494i −0.691371 0.722500i \(-0.742993\pi\)
0.280018 + 0.959995i \(0.409659\pi\)
\(110\) −2.00598 + 8.44166i −0.191263 + 0.804881i
\(111\) 4.93690 + 3.55346i 0.468589 + 0.337279i
\(112\) 3.17807i 0.300300i
\(113\) 5.50508 + 9.53507i 0.517874 + 0.896984i 0.999784 + 0.0207636i \(0.00660974\pi\)
−0.481910 + 0.876221i \(0.660057\pi\)
\(114\) 2.62790 4.55166i 0.246125 0.426302i
\(115\) 10.7555 + 10.1593i 1.00296 + 0.947361i
\(116\) 1.13197 + 0.653545i 0.105101 + 0.0606802i
\(117\) −0.759415 −0.0702079
\(118\) −5.34529 3.08610i −0.492074 0.284099i
\(119\) 10.7694i 0.987234i
\(120\) −0.640045 2.14251i −0.0584279 0.195583i
\(121\) 4.05712 0.368829
\(122\) 9.76238i 0.883845i
\(123\) 8.95773 5.17175i 0.807691 0.466321i
\(124\) −5.30382 3.06216i −0.476297 0.274990i
\(125\) 7.20176 8.55188i 0.644145 0.764903i
\(126\) −2.75229 + 1.58904i −0.245194 + 0.141563i
\(127\) 13.0596 7.53996i 1.15885 0.669063i 0.207823 0.978166i \(-0.433362\pi\)
0.951029 + 0.309103i \(0.100029\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 8.15661 + 4.70922i 0.718149 + 0.414624i
\(130\) 1.23447 + 1.16604i 0.108270 + 0.102268i
\(131\) 9.51251 5.49205i 0.831112 0.479843i −0.0231214 0.999733i \(-0.507360\pi\)
0.854233 + 0.519890i \(0.174027\pi\)
\(132\) −3.36048 + 1.94018i −0.292492 + 0.168871i
\(133\) 8.35166 + 14.4655i 0.724180 + 1.25432i
\(134\) 10.0784i 0.870644i
\(135\) −1.53544 + 1.62555i −0.132150 + 0.139905i
\(136\) 1.69434 + 2.93468i 0.145288 + 0.251647i
\(137\) 1.70269i 0.145471i 0.997351 + 0.0727353i \(0.0231728\pi\)
−0.997351 + 0.0727353i \(0.976827\pi\)
\(138\) 6.61653i 0.563237i
\(139\) 8.79340 + 15.2306i 0.745846 + 1.29184i 0.949798 + 0.312863i \(0.101288\pi\)
−0.203952 + 0.978981i \(0.565379\pi\)
\(140\) 6.91386 + 1.64293i 0.584328 + 0.138853i
\(141\) 2.67310 4.62995i 0.225116 0.389912i
\(142\) −6.44165 −0.540571
\(143\) 1.47340 2.55200i 0.123212 0.213409i
\(144\) 0.500000 0.866025i 0.0416667 0.0721688i
\(145\) −2.00696 + 2.12474i −0.166669 + 0.176450i
\(146\) 5.06214 2.92263i 0.418945 0.241878i
\(147\) 3.10014i 0.255695i
\(148\) 3.55346 4.93690i 0.292092 0.405810i
\(149\) 18.0769 1.48092 0.740458 0.672103i \(-0.234609\pi\)
0.740458 + 0.672103i \(0.234609\pi\)
\(150\) 4.99188 0.284822i 0.407585 0.0232556i
\(151\) 7.75253 13.4278i 0.630892 1.09274i −0.356478 0.934304i \(-0.616023\pi\)
0.987370 0.158433i \(-0.0506441\pi\)
\(152\) −4.55166 2.62790i −0.369188 0.213151i
\(153\) 1.69434 2.93468i 0.136979 0.237255i
\(154\) 12.3320i 0.993744i
\(155\) 9.40356 9.95540i 0.755312 0.799637i
\(156\) 0.759415i 0.0608019i
\(157\) −4.26063 + 2.45988i −0.340035 + 0.196320i −0.660288 0.751013i \(-0.729566\pi\)
0.320252 + 0.947332i \(0.396232\pi\)
\(158\) 8.53330i 0.678873i
\(159\) −3.19462 −0.253350
\(160\) −2.14251 + 0.640045i −0.169380 + 0.0506000i
\(161\) −18.2106 10.5139i −1.43520 0.828612i
\(162\) −1.00000 −0.0785674
\(163\) −3.02056 5.23176i −0.236588 0.409783i 0.723145 0.690696i \(-0.242696\pi\)
−0.959733 + 0.280914i \(0.909363\pi\)
\(164\) −5.17175 8.95773i −0.403845 0.699481i
\(165\) −2.48360 8.31368i −0.193348 0.647219i
\(166\) 6.05368 + 3.49509i 0.469856 + 0.271272i
\(167\) 9.53467 16.5145i 0.737815 1.27793i −0.215663 0.976468i \(-0.569191\pi\)
0.953477 0.301465i \(-0.0974755\pi\)
\(168\) 1.58904 + 2.75229i 0.122597 + 0.212344i
\(169\) 6.21164 + 10.7589i 0.477819 + 0.827606i
\(170\) −7.26026 + 2.16890i −0.556837 + 0.166347i
\(171\) 5.25580i 0.401921i
\(172\) 4.70922 8.15661i 0.359075 0.621936i
\(173\) −17.6459 + 10.1879i −1.34160 + 0.774571i −0.987042 0.160465i \(-0.948701\pi\)
−0.354554 + 0.935035i \(0.615367\pi\)
\(174\) −1.30709 −0.0990903
\(175\) −7.14836 + 14.1917i −0.540365 + 1.07279i
\(176\) 1.94018 + 3.36048i 0.146246 + 0.253306i
\(177\) 6.17221 0.463931
\(178\) −1.93582 1.11765i −0.145096 0.0837713i
\(179\) 1.86502i 0.139398i −0.997568 0.0696989i \(-0.977796\pi\)
0.997568 0.0696989i \(-0.0222039\pi\)
\(180\) 1.62555 + 1.53544i 0.121161 + 0.114445i
\(181\) 6.08878 10.5461i 0.452575 0.783884i −0.545970 0.837805i \(-0.683839\pi\)
0.998545 + 0.0539212i \(0.0171720\pi\)
\(182\) −2.09013 1.20674i −0.154931 0.0894493i
\(183\) 4.88119 + 8.45447i 0.360828 + 0.624973i
\(184\) 6.61653 0.487777
\(185\) 8.90317 + 10.2827i 0.654574 + 0.755998i
\(186\) 6.12433 0.449057
\(187\) 6.57462 + 11.3876i 0.480784 + 0.832742i
\(188\) −4.62995 2.67310i −0.337674 0.194956i
\(189\) 1.58904 2.75229i 0.115585 0.200200i
\(190\) 8.06999 8.54356i 0.585459 0.619815i
\(191\) 21.9186i 1.58597i 0.609240 + 0.792986i \(0.291475\pi\)
−0.609240 + 0.792986i \(0.708525\pi\)
\(192\) −0.866025 0.500000i −0.0625000 0.0360844i
\(193\) 6.01088 0.432672 0.216336 0.976319i \(-0.430589\pi\)
0.216336 + 0.976319i \(0.430589\pi\)
\(194\) −2.38589 4.13248i −0.171297 0.296695i
\(195\) −1.65210 0.392586i −0.118309 0.0281137i
\(196\) −3.10014 −0.221438
\(197\) −16.0895 + 9.28928i −1.14633 + 0.661834i −0.947990 0.318299i \(-0.896888\pi\)
−0.198340 + 0.980133i \(0.563555\pi\)
\(198\) 1.94018 3.36048i 0.137882 0.238819i
\(199\) 2.04121i 0.144697i 0.997379 + 0.0723487i \(0.0230495\pi\)
−0.997379 + 0.0723487i \(0.976951\pi\)
\(200\) −0.284822 4.99188i −0.0201400 0.352979i
\(201\) 5.03921 + 8.72817i 0.355439 + 0.615638i
\(202\) 1.00807 + 1.74602i 0.0709272 + 0.122850i
\(203\) 2.07701 3.59749i 0.145778 0.252494i
\(204\) −2.93468 1.69434i −0.205469 0.118627i
\(205\) 22.1610 6.62030i 1.54779 0.462382i
\(206\) −4.03407 6.98722i −0.281067 0.486823i
\(207\) −3.30827 5.73009i −0.229940 0.398269i
\(208\) 0.759415 0.0526559
\(209\) −17.6620 10.1972i −1.22171 0.705353i
\(210\) −6.80904 + 2.03411i −0.469869 + 0.140367i
\(211\) 13.3152 0.916658 0.458329 0.888783i \(-0.348448\pi\)
0.458329 + 0.888783i \(0.348448\pi\)
\(212\) 3.19462i 0.219407i
\(213\) 5.57863 3.22083i 0.382242 0.220687i
\(214\) 5.12833i 0.350566i
\(215\) 15.3101 + 14.4615i 1.04414 + 0.986265i
\(216\) 1.00000i 0.0680414i
\(217\) −9.73177 + 16.8559i −0.660636 + 1.14425i
\(218\) −4.29464 2.47951i −0.290870 0.167934i
\(219\) −2.92263 + 5.06214i −0.197493 + 0.342067i
\(220\) −8.31368 + 2.48360i −0.560508 + 0.167444i
\(221\) 2.57341 0.173106
\(222\) −0.608935 + 6.05221i −0.0408691 + 0.406197i
\(223\) 14.8913i 0.997193i 0.866834 + 0.498597i \(0.166151\pi\)
−0.866834 + 0.498597i \(0.833849\pi\)
\(224\) 2.75229 1.58904i 0.183895 0.106172i
\(225\) −4.18068 + 2.74260i −0.278712 + 0.182840i
\(226\) −5.50508 + 9.53507i −0.366192 + 0.634264i
\(227\) 0.708052 1.22638i 0.0469951 0.0813979i −0.841571 0.540146i \(-0.818369\pi\)
0.888566 + 0.458749i \(0.151702\pi\)
\(228\) 5.25580 0.348074
\(229\) −13.9106 + 24.0938i −0.919237 + 1.59217i −0.118661 + 0.992935i \(0.537860\pi\)
−0.800576 + 0.599231i \(0.795473\pi\)
\(230\) −3.42048 + 14.3942i −0.225540 + 0.949125i
\(231\) 6.16602 + 10.6799i 0.405694 + 0.702683i
\(232\) 1.30709i 0.0858147i
\(233\) 21.1423i 1.38508i −0.721382 0.692538i \(-0.756493\pi\)
0.721382 0.692538i \(-0.243507\pi\)
\(234\) −0.379707 0.657673i −0.0248223 0.0429934i
\(235\) 8.20879 8.69052i 0.535483 0.566907i
\(236\) 6.17221i 0.401776i
\(237\) −4.26665 7.39006i −0.277149 0.480036i
\(238\) 9.32662 5.38472i 0.604555 0.349040i
\(239\) −5.13952 + 2.96731i −0.332448 + 0.191939i −0.656927 0.753954i \(-0.728144\pi\)
0.324479 + 0.945893i \(0.394811\pi\)
\(240\) 1.53544 1.62555i 0.0991125 0.104929i
\(241\) −21.6064 12.4744i −1.39179 0.803550i −0.398276 0.917266i \(-0.630391\pi\)
−0.993513 + 0.113716i \(0.963725\pi\)
\(242\) 2.02856 + 3.51357i 0.130401 + 0.225861i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 8.45447 4.88119i 0.541242 0.312486i
\(245\) 1.60264 6.74432i 0.102389 0.430879i
\(246\) 8.95773 + 5.17175i 0.571124 + 0.329738i
\(247\) −3.45660 + 1.99567i −0.219938 + 0.126981i
\(248\) 6.12433i 0.388895i
\(249\) −6.99018 −0.442985
\(250\) 11.0070 + 1.96097i 0.696145 + 0.124023i
\(251\) 5.08160i 0.320748i −0.987056 0.160374i \(-0.948730\pi\)
0.987056 0.160374i \(-0.0512700\pi\)
\(252\) −2.75229 1.58904i −0.173378 0.100100i
\(253\) 25.6745 1.61414
\(254\) 13.0596 + 7.53996i 0.819432 + 0.473099i
\(255\) 5.20312 5.50846i 0.325832 0.344953i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.08288 8.80380i −0.317061 0.549166i 0.662812 0.748786i \(-0.269363\pi\)
−0.979873 + 0.199620i \(0.936029\pi\)
\(258\) 9.41844i 0.586366i
\(259\) −15.6898 11.2931i −0.974917 0.701722i
\(260\) −0.392586 + 1.65210i −0.0243472 + 0.102459i
\(261\) 1.13197 0.653545i 0.0700674 0.0404534i
\(262\) 9.51251 + 5.49205i 0.587685 + 0.339300i
\(263\) 13.5376 + 7.81597i 0.834767 + 0.481953i 0.855482 0.517832i \(-0.173261\pi\)
−0.0207149 + 0.999785i \(0.506594\pi\)
\(264\) −3.36048 1.94018i −0.206823 0.119410i
\(265\) −6.94986 1.65149i −0.426926 0.101450i
\(266\) −8.35166 + 14.4655i −0.512073 + 0.886936i
\(267\) 2.23530 0.136798
\(268\) 8.72817 5.03921i 0.533158 0.307819i
\(269\) −17.1683 −1.04677 −0.523384 0.852097i \(-0.675330\pi\)
−0.523384 + 0.852097i \(0.675330\pi\)
\(270\) −2.17549 0.516959i −0.132396 0.0314611i
\(271\) −4.20412 7.28174i −0.255382 0.442334i 0.709617 0.704587i \(-0.248868\pi\)
−0.964999 + 0.262253i \(0.915535\pi\)
\(272\) −1.69434 + 2.93468i −0.102734 + 0.177941i
\(273\) 2.41347 0.146070
\(274\) −1.47457 + 0.851345i −0.0890822 + 0.0514316i
\(275\) −1.10521 19.3703i −0.0666467 1.16807i
\(276\) −5.73009 + 3.30827i −0.344911 + 0.199134i
\(277\) 14.0962 24.4154i 0.846960 1.46698i −0.0369475 0.999317i \(-0.511763\pi\)
0.883908 0.467661i \(-0.154903\pi\)
\(278\) −8.79340 + 15.2306i −0.527393 + 0.913472i
\(279\) −5.30382 + 3.06216i −0.317532 + 0.183327i
\(280\) 2.03411 + 6.80904i 0.121561 + 0.406918i
\(281\) −18.0402 + 10.4155i −1.07619 + 0.621339i −0.929866 0.367898i \(-0.880078\pi\)
−0.146324 + 0.989237i \(0.546744\pi\)
\(282\) 5.34620 0.318362
\(283\) 7.70394 13.3436i 0.457952 0.793196i −0.540901 0.841086i \(-0.681917\pi\)
0.998853 + 0.0478906i \(0.0152499\pi\)
\(284\) −3.22083 5.57863i −0.191121 0.331031i
\(285\) −2.71703 + 11.4339i −0.160943 + 0.677288i
\(286\) 2.94680 0.174248
\(287\) −28.4683 + 16.4362i −1.68043 + 0.970197i
\(288\) 1.00000 0.0589256
\(289\) 2.75844 4.77777i 0.162261 0.281045i
\(290\) −2.84356 0.675712i −0.166980 0.0396792i
\(291\) 4.13248 + 2.38589i 0.242250 + 0.139863i
\(292\) 5.06214 + 2.92263i 0.296239 + 0.171034i
\(293\) −10.7757 6.22135i −0.629523 0.363455i 0.151044 0.988527i \(-0.451736\pi\)
−0.780567 + 0.625072i \(0.785070\pi\)
\(294\) 2.68480 1.55007i 0.156581 0.0904019i
\(295\) 13.4276 + 3.19078i 0.781783 + 0.185774i
\(296\) 6.05221 + 0.608935i 0.351777 + 0.0353937i
\(297\) 3.88035i 0.225161i
\(298\) 9.03844 + 15.6550i 0.523583 + 0.906872i
\(299\) 2.51235 4.35151i 0.145293 0.251654i
\(300\) 2.74260 + 4.18068i 0.158344 + 0.241372i
\(301\) −25.9223 14.9662i −1.49414 0.862640i
\(302\) 15.5051 0.892215
\(303\) −1.74602 1.00807i −0.100306 0.0579118i
\(304\) 5.25580i 0.301441i
\(305\) 6.24837 + 20.9160i 0.357780 + 1.19765i
\(306\) 3.38867 0.193718
\(307\) 28.9874i 1.65440i −0.561910 0.827199i \(-0.689933\pi\)
0.561910 0.827199i \(-0.310067\pi\)
\(308\) 10.6799 6.16602i 0.608541 0.351341i
\(309\) 6.98722 + 4.03407i 0.397489 + 0.229490i
\(310\) 13.3234 + 3.16603i 0.756719 + 0.179818i
\(311\) −0.445283 + 0.257084i −0.0252497 + 0.0145779i −0.512572 0.858644i \(-0.671307\pi\)
0.487322 + 0.873222i \(0.337974\pi\)
\(312\) −0.657673 + 0.379707i −0.0372334 + 0.0214967i
\(313\) 11.2521 + 19.4892i 0.636006 + 1.10160i 0.986301 + 0.164956i \(0.0527481\pi\)
−0.350295 + 0.936640i \(0.613919\pi\)
\(314\) −4.26063 2.45988i −0.240441 0.138819i
\(315\) 4.87975 5.16611i 0.274943 0.291077i
\(316\) −7.39006 + 4.26665i −0.415723 + 0.240018i
\(317\) 6.11367 3.52973i 0.343378 0.198249i −0.318387 0.947961i \(-0.603141\pi\)
0.661765 + 0.749712i \(0.269808\pi\)
\(318\) −1.59731 2.76662i −0.0895726 0.155144i
\(319\) 5.07197i 0.283976i
\(320\) −1.62555 1.53544i −0.0908710 0.0858339i
\(321\) −2.56417 4.44127i −0.143118 0.247887i
\(322\) 21.0278i 1.17183i
\(323\) 17.8102i 0.990986i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) −3.39117 1.70813i −0.188108 0.0947503i
\(326\) 3.02056 5.23176i 0.167293 0.289760i
\(327\) 4.95903 0.274235
\(328\) 5.17175 8.95773i 0.285562 0.494608i
\(329\) −8.49531 + 14.7143i −0.468361 + 0.811226i
\(330\) 5.95806 6.30770i 0.327981 0.347228i
\(331\) 11.4620 6.61756i 0.630006 0.363734i −0.150748 0.988572i \(-0.548168\pi\)
0.780754 + 0.624838i \(0.214835\pi\)
\(332\) 6.99018i 0.383636i
\(333\) −2.49875 5.54583i −0.136931 0.303910i
\(334\) 19.0693 1.04343
\(335\) 6.45065 + 21.5931i 0.352437 + 1.17976i
\(336\) −1.58904 + 2.75229i −0.0866890 + 0.150150i
\(337\) 8.19202 + 4.72967i 0.446248 + 0.257641i 0.706244 0.707968i \(-0.250388\pi\)
−0.259996 + 0.965610i \(0.583721\pi\)
\(338\) −6.21164 + 10.7589i −0.337869 + 0.585206i
\(339\) 11.0102i 0.597989i
\(340\) −5.50846 5.20312i −0.298738 0.282179i
\(341\) 23.7645i 1.28692i
\(342\) −4.55166 + 2.62790i −0.246125 + 0.142101i
\(343\) 12.3940i 0.669215i
\(344\) 9.41844 0.507808
\(345\) −4.23488 14.1760i −0.227998 0.763209i
\(346\) −17.6459 10.1879i −0.948652 0.547704i
\(347\) 6.97276 0.374317 0.187159 0.982330i \(-0.440072\pi\)
0.187159 + 0.982330i \(0.440072\pi\)
\(348\) −0.653545 1.13197i −0.0350337 0.0606802i
\(349\) −4.99936 8.65914i −0.267609 0.463513i 0.700635 0.713520i \(-0.252900\pi\)
−0.968244 + 0.250007i \(0.919567\pi\)
\(350\) −15.8646 + 0.905186i −0.847996 + 0.0483842i
\(351\) 0.657673 + 0.379707i 0.0351040 + 0.0202673i
\(352\) −1.94018 + 3.36048i −0.103412 + 0.179114i
\(353\) −0.898282 1.55587i −0.0478107 0.0828106i 0.841130 0.540834i \(-0.181891\pi\)
−0.888940 + 0.458023i \(0.848558\pi\)
\(354\) 3.08610 + 5.34529i 0.164025 + 0.284099i
\(355\) 13.8013 4.12295i 0.732497 0.218823i
\(356\) 2.23530i 0.118470i
\(357\) −5.38472 + 9.32662i −0.284990 + 0.493617i
\(358\) 1.61515 0.932508i 0.0853634 0.0492846i
\(359\) 36.2514 1.91327 0.956637 0.291283i \(-0.0940822\pi\)
0.956637 + 0.291283i \(0.0940822\pi\)
\(360\) −0.516959 + 2.17549i −0.0272461 + 0.114658i
\(361\) 4.31172 + 7.46812i 0.226933 + 0.393059i
\(362\) 12.1776 0.640038
\(363\) −3.51357 2.02856i −0.184415 0.106472i
\(364\) 2.41347i 0.126500i
\(365\) −8.97506 + 9.50174i −0.469776 + 0.497344i
\(366\) −4.88119 + 8.45447i −0.255144 + 0.441922i
\(367\) −24.0265 13.8717i −1.25417 0.724096i −0.282236 0.959345i \(-0.591076\pi\)
−0.971935 + 0.235249i \(0.924409\pi\)
\(368\) 3.30827 + 5.73009i 0.172455 + 0.298701i
\(369\) −10.3435 −0.538461
\(370\) −4.45347 + 12.8517i −0.231525 + 0.668129i
\(371\) 10.1527 0.527103
\(372\) 3.06216 + 5.30382i 0.158766 + 0.274990i
\(373\) 13.7243 + 7.92370i 0.710615 + 0.410274i 0.811289 0.584646i \(-0.198767\pi\)
−0.100674 + 0.994919i \(0.532100\pi\)
\(374\) −6.57462 + 11.3876i −0.339966 + 0.588838i
\(375\) −10.5128 + 3.80526i −0.542881 + 0.196503i
\(376\) 5.34620i 0.275709i
\(377\) 0.859638 + 0.496312i 0.0442736 + 0.0255614i
\(378\) 3.17807 0.163462
\(379\) 12.5851 + 21.7980i 0.646453 + 1.11969i 0.983964 + 0.178367i \(0.0570816\pi\)
−0.337511 + 0.941322i \(0.609585\pi\)
\(380\) 11.4339 + 2.71703i 0.586549 + 0.139381i
\(381\) −15.0799 −0.772568
\(382\) −18.9820 + 10.9593i −0.971205 + 0.560726i
\(383\) −7.99822 + 13.8533i −0.408690 + 0.707872i −0.994743 0.102401i \(-0.967348\pi\)
0.586053 + 0.810273i \(0.300681\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) 7.89306 + 26.4215i 0.402267 + 1.34656i
\(386\) 3.00544 + 5.20557i 0.152973 + 0.264957i
\(387\) −4.70922 8.15661i −0.239383 0.414624i
\(388\) 2.38589 4.13248i 0.121125 0.209795i
\(389\) 5.81063 + 3.35477i 0.294611 + 0.170093i 0.640019 0.768359i \(-0.278926\pi\)
−0.345409 + 0.938452i \(0.612260\pi\)
\(390\) −0.486060 1.62705i −0.0246126 0.0823890i
\(391\) 11.2106 + 19.4174i 0.566946 + 0.981980i
\(392\) −1.55007 2.68480i −0.0782903 0.135603i
\(393\) −10.9841 −0.554074
\(394\) −16.0895 9.28928i −0.810578 0.467987i
\(395\) −5.46170 18.2827i −0.274808 0.919901i
\(396\) 3.88035 0.194995
\(397\) 19.4407i 0.975703i 0.872927 + 0.487851i \(0.162219\pi\)
−0.872927 + 0.487851i \(0.837781\pi\)
\(398\) −1.76774 + 1.02060i −0.0886087 + 0.0511583i
\(399\) 16.7033i 0.836212i
\(400\) 4.18068 2.74260i 0.209034 0.137130i
\(401\) 0.994109i 0.0496434i 0.999692 + 0.0248217i \(0.00790181\pi\)
−0.999692 + 0.0248217i \(0.992098\pi\)
\(402\) −5.03921 + 8.72817i −0.251333 + 0.435322i
\(403\) −4.02780 2.32545i −0.200639 0.115839i
\(404\) −1.00807 + 1.74602i −0.0501531 + 0.0868677i
\(405\) 2.14251 0.640045i 0.106462 0.0318041i
\(406\) 4.15403 0.206161
\(407\) 23.4847 + 2.36288i 1.16409 + 0.117124i
\(408\) 3.38867i 0.167764i
\(409\) −26.9360 + 15.5515i −1.33190 + 0.768973i −0.985591 0.169148i \(-0.945898\pi\)
−0.346309 + 0.938120i \(0.612565\pi\)
\(410\) 16.8139 + 15.8819i 0.830377 + 0.784349i
\(411\) 0.851345 1.47457i 0.0419938 0.0727353i
\(412\) 4.03407 6.98722i 0.198745 0.344236i
\(413\) −19.6157 −0.965226
\(414\) 3.30827 5.73009i 0.162592 0.281618i
\(415\) −15.2071 3.61364i −0.746486 0.177386i
\(416\) 0.379707 + 0.657673i 0.0186167 + 0.0322451i
\(417\) 17.5868i 0.861229i
\(418\) 20.3944i 0.997520i
\(419\) 19.2268 + 33.3019i 0.939293 + 1.62690i 0.766794 + 0.641893i \(0.221851\pi\)
0.172498 + 0.985010i \(0.444816\pi\)
\(420\) −5.16611 4.87975i −0.252080 0.238107i
\(421\) 9.18954i 0.447871i 0.974604 + 0.223935i \(0.0718905\pi\)
−0.974604 + 0.223935i \(0.928110\pi\)
\(422\) 6.65761 + 11.5313i 0.324088 + 0.561336i
\(423\) −4.62995 + 2.67310i −0.225116 + 0.129971i
\(424\) −2.76662 + 1.59731i −0.134359 + 0.0775722i
\(425\) 14.1670 9.29379i 0.687199 0.450815i
\(426\) 5.57863 + 3.22083i 0.270286 + 0.156050i
\(427\) −15.5128 26.8689i −0.750716 1.30028i
\(428\) −4.44127 + 2.56417i −0.214677 + 0.123944i
\(429\) −2.55200 + 1.47340i −0.123212 + 0.0711363i
\(430\) −4.86895 + 20.4897i −0.234801 + 0.988102i
\(431\) −9.79127 5.65299i −0.471629 0.272295i 0.245293 0.969449i \(-0.421116\pi\)
−0.716921 + 0.697154i \(0.754449\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 19.1591i 0.920727i 0.887731 + 0.460363i \(0.152281\pi\)
−0.887731 + 0.460363i \(0.847719\pi\)
\(434\) −19.4635 −0.934280
\(435\) 2.80045 0.836597i 0.134271 0.0401117i
\(436\) 4.95903i 0.237494i
\(437\) −30.1162 17.3876i −1.44065 0.831761i
\(438\) −5.84525 −0.279297
\(439\) 28.6432 + 16.5371i 1.36706 + 0.789274i 0.990552 0.137138i \(-0.0437903\pi\)
0.376511 + 0.926412i \(0.377124\pi\)
\(440\) −6.30770 5.95806i −0.300708 0.284039i
\(441\) −1.55007 + 2.68480i −0.0738128 + 0.127848i
\(442\) 1.28670 + 2.22864i 0.0612023 + 0.106005i
\(443\) 0.475614i 0.0225971i 0.999936 + 0.0112985i \(0.00359651\pi\)
−0.999936 + 0.0112985i \(0.996403\pi\)
\(444\) −5.54583 + 2.49875i −0.263194 + 0.118585i
\(445\) 4.86286 + 1.15556i 0.230522 + 0.0547786i
\(446\) −12.8962 + 7.44563i −0.610654 + 0.352561i
\(447\) −15.6550 9.03844i −0.740458 0.427503i
\(448\) 2.75229 + 1.58904i 0.130034 + 0.0750749i
\(449\) −33.9306 19.5898i −1.60128 0.924502i −0.991231 0.132141i \(-0.957815\pi\)
−0.610053 0.792360i \(-0.708852\pi\)
\(450\) −4.46551 2.24928i −0.210506 0.106032i
\(451\) 20.0682 34.7591i 0.944974 1.63674i
\(452\) −11.0102 −0.517874
\(453\) −13.4278 + 7.75253i −0.630892 + 0.364245i
\(454\) 1.41610 0.0664611
\(455\) 5.25049 + 1.24767i 0.246147 + 0.0584915i
\(456\) 2.62790 + 4.55166i 0.123063 + 0.213151i
\(457\) −6.27814 + 10.8741i −0.293679 + 0.508667i −0.974677 0.223618i \(-0.928213\pi\)
0.680998 + 0.732286i \(0.261546\pi\)
\(458\) −27.8212 −1.30000
\(459\) −2.93468 + 1.69434i −0.136979 + 0.0790849i
\(460\) −14.1760 + 4.23488i −0.660958 + 0.197452i
\(461\) −4.06075 + 2.34448i −0.189128 + 0.109193i −0.591574 0.806250i \(-0.701493\pi\)
0.402446 + 0.915444i \(0.368160\pi\)
\(462\) −6.16602 + 10.6799i −0.286869 + 0.496872i
\(463\) −6.13895 + 10.6330i −0.285301 + 0.494156i −0.972682 0.232141i \(-0.925427\pi\)
0.687381 + 0.726297i \(0.258760\pi\)
\(464\) −1.13197 + 0.653545i −0.0525506 + 0.0303401i
\(465\) −13.1214 + 3.91985i −0.608491 + 0.181778i
\(466\) 18.3097 10.5711i 0.848182 0.489698i
\(467\) 12.6856 0.587021 0.293511 0.955956i \(-0.405176\pi\)
0.293511 + 0.955956i \(0.405176\pi\)
\(468\) 0.379707 0.657673i 0.0175520 0.0304009i
\(469\) −16.0150 27.7388i −0.739503 1.28086i
\(470\) 11.6306 + 2.76377i 0.536480 + 0.127483i
\(471\) 4.91975 0.226690
\(472\) 5.34529 3.08610i 0.246037 0.142049i
\(473\) 36.5468 1.68043
\(474\) 4.26665 7.39006i 0.195974 0.339436i
\(475\) −11.8218 + 23.4698i −0.542419 + 1.07687i
\(476\) 9.32662 + 5.38472i 0.427485 + 0.246808i
\(477\) 2.76662 + 1.59731i 0.126675 + 0.0731357i
\(478\) −5.13952 2.96731i −0.235076 0.135721i
\(479\) −2.51613 + 1.45269i −0.114965 + 0.0663750i −0.556380 0.830928i \(-0.687810\pi\)
0.441415 + 0.897303i \(0.354477\pi\)
\(480\) 2.17549 + 0.516959i 0.0992970 + 0.0235958i
\(481\) 2.69855 3.74915i 0.123043 0.170947i
\(482\) 24.9489i 1.13639i
\(483\) 10.5139 + 18.2106i 0.478399 + 0.828612i
\(484\) −2.02856 + 3.51357i −0.0922073 + 0.159708i
\(485\) 7.75676 + 7.32680i 0.352216 + 0.332693i
\(486\) 0.866025 + 0.500000i 0.0392837 + 0.0226805i
\(487\) 0.439955 0.0199363 0.00996814 0.999950i \(-0.496827\pi\)
0.00996814 + 0.999950i \(0.496827\pi\)
\(488\) 8.45447 + 4.88119i 0.382716 + 0.220961i
\(489\) 6.04111i 0.273189i
\(490\) 6.64207 1.98423i 0.300058 0.0896383i
\(491\) 38.7496 1.74875 0.874373 0.485254i \(-0.161273\pi\)
0.874373 + 0.485254i \(0.161273\pi\)
\(492\) 10.3435i 0.466321i
\(493\) −3.83589 + 2.21465i −0.172760 + 0.0997429i
\(494\) −3.45660 1.99567i −0.155520 0.0897893i
\(495\) −2.00598 + 8.44166i −0.0901622 + 0.379424i
\(496\) 5.30382 3.06216i 0.238149 0.137495i
\(497\) −17.7293 + 10.2360i −0.795268 + 0.459148i
\(498\) −3.49509 6.05368i −0.156619 0.271272i
\(499\) −32.7624 18.9154i −1.46665 0.846768i −0.467342 0.884077i \(-0.654788\pi\)
−0.999304 + 0.0373082i \(0.988122\pi\)
\(500\) 3.80526 + 10.5128i 0.170177 + 0.470149i
\(501\) −16.5145 + 9.53467i −0.737815 + 0.425978i
\(502\) 4.40080 2.54080i 0.196417 0.113401i
\(503\) −13.0136 22.5402i −0.580246 1.00502i −0.995450 0.0952875i \(-0.969623\pi\)
0.415203 0.909729i \(-0.363710\pi\)
\(504\) 3.17807i 0.141563i
\(505\) −3.27732 3.09566i −0.145839 0.137755i
\(506\) 12.8372 + 22.2347i 0.570685 + 0.988455i
\(507\) 12.4233i 0.551738i
\(508\) 15.0799i 0.669063i
\(509\) −18.3204 31.7319i −0.812038 1.40649i −0.911435 0.411444i \(-0.865025\pi\)
0.0993971 0.995048i \(-0.468309\pi\)
\(510\) 7.37202 + 1.75181i 0.326439 + 0.0775712i
\(511\) 9.28831 16.0878i 0.410891 0.711684i
\(512\) −1.00000 −0.0441942
\(513\) 2.62790 4.55166i 0.116025 0.200961i
\(514\) 5.08288 8.80380i 0.224196 0.388319i
\(515\) 13.1152 + 12.3882i 0.577924 + 0.545889i
\(516\) −8.15661 + 4.70922i −0.359075 + 0.207312i
\(517\) 20.7451i 0.912370i
\(518\) 1.93524 19.2343i 0.0850296 0.845109i
\(519\) 20.3758 0.894397
\(520\) −1.62705 + 0.486060i −0.0713510 + 0.0213151i
\(521\) −6.87938 + 11.9154i −0.301391 + 0.522025i −0.976451 0.215738i \(-0.930784\pi\)
0.675060 + 0.737763i \(0.264118\pi\)
\(522\) 1.13197 + 0.653545i 0.0495451 + 0.0286049i
\(523\) −0.135209 + 0.234189i −0.00591228 + 0.0102404i −0.868966 0.494871i \(-0.835215\pi\)
0.863054 + 0.505111i \(0.168549\pi\)
\(524\) 10.9841i 0.479843i
\(525\) 13.2865 8.71619i 0.579871 0.380406i
\(526\) 15.6319i 0.681585i
\(527\) 17.9729 10.3767i 0.782913 0.452015i
\(528\) 3.88035i 0.168871i
\(529\) 20.7785 0.903414
\(530\) −2.04470 6.84449i −0.0888160 0.297306i
\(531\) −5.34529 3.08610i −0.231966 0.133925i
\(532\) −16.7033 −0.724180
\(533\) −3.92750 6.80263i −0.170119 0.294655i
\(534\) 1.11765 + 1.93582i 0.0483654 + 0.0837713i
\(535\) −3.28237 10.9875i −0.141909 0.475031i
\(536\) 8.72817 + 5.03921i 0.377000 + 0.217661i
\(537\) −0.932508 + 1.61515i −0.0402407 + 0.0696989i
\(538\) −8.58413 14.8681i −0.370088 0.641011i
\(539\) −6.01481 10.4180i −0.259076 0.448733i
\(540\) −0.640045 2.14251i −0.0275432 0.0921989i
\(541\) 33.4724i 1.43909i −0.694446 0.719545i \(-0.744350\pi\)
0.694446 0.719545i \(-0.255650\pi\)
\(542\) 4.20412 7.28174i 0.180582 0.312778i
\(543\) −10.5461 + 6.08878i −0.452575 + 0.261295i
\(544\) −3.38867 −0.145288
\(545\) 10.7883 + 2.56361i 0.462120 + 0.109813i
\(546\) 1.20674 + 2.09013i 0.0516436 + 0.0894493i
\(547\) −41.8398 −1.78894 −0.894471 0.447126i \(-0.852448\pi\)
−0.894471 + 0.447126i \(0.852448\pi\)
\(548\) −1.47457 0.851345i −0.0629906 0.0363677i
\(549\) 9.76238i 0.416648i
\(550\) 16.2225 10.6423i 0.691731 0.453788i
\(551\) 3.43490 5.94943i 0.146332 0.253454i
\(552\) −5.73009 3.30827i −0.243889 0.140809i
\(553\) 13.5597 + 23.4861i 0.576618 + 0.998732i
\(554\) 28.1925 1.19778
\(555\) −2.56904 13.3566i −0.109049 0.566958i
\(556\) −17.5868 −0.745846
\(557\) −18.9097 32.7526i −0.801230 1.38777i −0.918807 0.394708i \(-0.870846\pi\)
0.117576 0.993064i \(-0.462488\pi\)
\(558\) −5.30382 3.06216i −0.224529 0.129632i
\(559\) 3.57625 6.19425i 0.151259 0.261989i
\(560\) −4.87975 + 5.16611i −0.206207 + 0.218308i
\(561\) 13.1492i 0.555162i
\(562\) −18.0402 10.4155i −0.760981 0.439353i
\(563\) −38.4439 −1.62022 −0.810109 0.586280i \(-0.800592\pi\)
−0.810109 + 0.586280i \(0.800592\pi\)
\(564\) 2.67310 + 4.62995i 0.112558 + 0.194956i
\(565\) 5.69180 23.9525i 0.239456 1.00769i
\(566\) 15.4079 0.647642
\(567\) −2.75229 + 1.58904i −0.115585 + 0.0667332i
\(568\) 3.22083 5.57863i 0.135143 0.234074i
\(569\) 42.4265i 1.77861i 0.457315 + 0.889305i \(0.348811\pi\)
−0.457315 + 0.889305i \(0.651189\pi\)
\(570\) −11.2606 + 3.36395i −0.471655 + 0.140900i
\(571\) −2.51703 4.35962i −0.105334 0.182444i 0.808540 0.588441i \(-0.200258\pi\)
−0.913875 + 0.405996i \(0.866925\pi\)
\(572\) 1.47340 + 2.55200i 0.0616059 + 0.106704i
\(573\) 10.9593 18.9820i 0.457831 0.792986i
\(574\) −28.4683 16.4362i −1.18824 0.686033i
\(575\) −1.88454 33.0289i −0.0785906 1.37740i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) −4.83557 8.37546i −0.201308 0.348675i 0.747642 0.664102i \(-0.231186\pi\)
−0.948950 + 0.315427i \(0.897852\pi\)
\(578\) 5.51689 0.229472
\(579\) −5.20557 3.00544i −0.216336 0.124902i
\(580\) −0.836597 2.80045i −0.0347378 0.116282i
\(581\) 22.2153 0.921646
\(582\) 4.77178i 0.197797i
\(583\) −10.7355 + 6.19812i −0.444617 + 0.256700i
\(584\) 5.84525i 0.241878i
\(585\) 1.23447 + 1.16604i 0.0510389 + 0.0482098i
\(586\) 12.4427i 0.514003i
\(587\) −11.6533 + 20.1840i −0.480981 + 0.833084i −0.999762 0.0218233i \(-0.993053\pi\)
0.518780 + 0.854908i \(0.326386\pi\)
\(588\) 2.68480 + 1.55007i 0.110719 + 0.0639238i
\(589\) −16.0941 + 27.8758i −0.663147 + 1.14860i
\(590\) 3.95049 + 13.2240i 0.162639 + 0.544424i
\(591\) 18.5786 0.764220
\(592\) 2.49875 + 5.54583i 0.102698 + 0.227932i
\(593\) 28.4421i 1.16798i 0.811762 + 0.583989i \(0.198509\pi\)
−0.811762 + 0.583989i \(0.801491\pi\)
\(594\) −3.36048 + 1.94018i −0.137882 + 0.0796064i
\(595\) −16.5359 + 17.5063i −0.677905 + 0.717687i
\(596\) −9.03844 + 15.6550i −0.370229 + 0.641255i
\(597\) 1.02060 1.76774i 0.0417706 0.0723487i
\(598\) 5.02469 0.205475
\(599\) 13.7454 23.8078i 0.561623 0.972759i −0.435733 0.900076i \(-0.643511\pi\)
0.997355 0.0726826i \(-0.0231560\pi\)
\(600\) −2.24928 + 4.46551i −0.0918264 + 0.182304i
\(601\) −22.0281 38.1539i −0.898547 1.55633i −0.829353 0.558725i \(-0.811291\pi\)
−0.0691938 0.997603i \(-0.522043\pi\)
\(602\) 29.9325i 1.21996i
\(603\) 10.0784i 0.410425i
\(604\) 7.75253 + 13.4278i 0.315446 + 0.546368i
\(605\) −6.59505 6.22949i −0.268127 0.253265i
\(606\) 2.01613i 0.0818997i
\(607\) 22.3880 + 38.7772i 0.908702 + 1.57392i 0.815869 + 0.578236i \(0.196259\pi\)
0.0928326 + 0.995682i \(0.470408\pi\)
\(608\) 4.55166 2.62790i 0.184594 0.106575i
\(609\) −3.59749 + 2.07701i −0.145778 + 0.0841648i
\(610\) −14.9896 + 15.8692i −0.606911 + 0.642527i
\(611\) −3.51605 2.02999i −0.142244 0.0821247i
\(612\) 1.69434 + 2.93468i 0.0684895 + 0.118627i
\(613\) −21.4944 + 12.4098i −0.868150 + 0.501227i −0.866733 0.498772i \(-0.833784\pi\)
−0.00141717 + 0.999999i \(0.500451\pi\)
\(614\) 25.1038 14.4937i 1.01311 0.584918i
\(615\) −22.5022 5.34716i −0.907374 0.215618i
\(616\) 10.6799 + 6.16602i 0.430304 + 0.248436i
\(617\) −34.1390 + 19.7101i −1.37438 + 0.793500i −0.991476 0.130287i \(-0.958410\pi\)
−0.382906 + 0.923787i \(0.625077\pi\)
\(618\) 8.06815i 0.324549i
\(619\) 9.70430 0.390049 0.195024 0.980798i \(-0.437521\pi\)
0.195024 + 0.980798i \(0.437521\pi\)
\(620\) 3.91985 + 13.1214i 0.157425 + 0.526969i
\(621\) 6.61653i 0.265512i
\(622\) −0.445283 0.257084i −0.0178542 0.0103081i
\(623\) −7.10393 −0.284613
\(624\) −0.657673 0.379707i −0.0263280 0.0152005i
\(625\) −24.8378 + 2.84360i −0.993510 + 0.113744i
\(626\) −11.2521 + 19.4892i −0.449724 + 0.778945i
\(627\) 10.1972 + 17.6620i 0.407236 + 0.705353i
\(628\) 4.91975i 0.196320i
\(629\) 8.46745 + 18.7930i 0.337619 + 0.749327i
\(630\) 6.91386 + 1.64293i 0.275455 + 0.0654560i
\(631\) −11.6902 + 6.74933i −0.465379 + 0.268687i −0.714303 0.699836i \(-0.753256\pi\)
0.248924 + 0.968523i \(0.419923\pi\)
\(632\) −7.39006 4.26665i −0.293961 0.169718i
\(633\) −11.5313 6.65761i −0.458329 0.264616i
\(634\) 6.11367 + 3.52973i 0.242805 + 0.140183i
\(635\) −32.8062 7.79570i −1.30187 0.309363i
\(636\) 1.59731 2.76662i 0.0633374 0.109704i
\(637\) −2.35429 −0.0932804
\(638\) −4.39245 + 2.53598i −0.173899 + 0.100401i
\(639\) −6.44165 −0.254828
\(640\) 0.516959 2.17549i 0.0204346 0.0859938i
\(641\) 8.41425 + 14.5739i 0.332343 + 0.575635i 0.982971 0.183762i \(-0.0588275\pi\)
−0.650628 + 0.759397i \(0.725494\pi\)
\(642\) 2.56417 4.44127i 0.101200 0.175283i
\(643\) 18.4589 0.727949 0.363975 0.931409i \(-0.381419\pi\)
0.363975 + 0.931409i \(0.381419\pi\)
\(644\) 18.2106 10.5139i 0.717599 0.414306i
\(645\) −6.02823 20.1791i −0.237361 0.794551i
\(646\) 15.4241 8.90510i 0.606852 0.350366i
\(647\) 2.42149 4.19414i 0.0951985 0.164889i −0.814493 0.580173i \(-0.802985\pi\)
0.909691 + 0.415285i \(0.136318\pi\)
\(648\) 0.500000 0.866025i 0.0196419 0.0340207i
\(649\) 20.7416 11.9752i 0.814179 0.470066i
\(650\) −0.216298 3.79091i −0.00848392 0.148692i
\(651\) 16.8559 9.73177i 0.660636 0.381418i
\(652\) 6.04111 0.236588
\(653\) 0.412819 0.715023i 0.0161549 0.0279810i −0.857835 0.513925i \(-0.828191\pi\)
0.873990 + 0.485944i \(0.161524\pi\)
\(654\) 2.47951 + 4.29464i 0.0969566 + 0.167934i
\(655\) −23.8958 5.67833i −0.933686 0.221871i
\(656\) 10.3435 0.403845
\(657\) 5.06214 2.92263i 0.197493 0.114022i
\(658\) −16.9906 −0.662363
\(659\) −12.4134 + 21.5006i −0.483557 + 0.837546i −0.999822 0.0188834i \(-0.993989\pi\)
0.516264 + 0.856429i \(0.327322\pi\)
\(660\) 8.44166 + 2.00598i 0.328591 + 0.0780827i
\(661\) 14.5538 + 8.40263i 0.566077 + 0.326825i 0.755581 0.655055i \(-0.227355\pi\)
−0.189504 + 0.981880i \(0.560688\pi\)
\(662\) 11.4620 + 6.61756i 0.445482 + 0.257199i
\(663\) −2.22864 1.28670i −0.0865531 0.0499715i
\(664\) −6.05368 + 3.49509i −0.234928 + 0.135636i
\(665\) 8.63493 36.3379i 0.334848 1.40912i
\(666\) 3.55346 4.93690i 0.137694 0.191301i
\(667\) 8.64841i 0.334868i
\(668\) 9.53467 + 16.5145i 0.368907 + 0.638966i
\(669\) 7.44563 12.8962i 0.287865 0.498597i
\(670\) −15.4749 + 16.3830i −0.597846 + 0.632930i
\(671\) 32.8063 + 18.9407i 1.26647 + 0.731199i
\(672\) −3.17807 −0.122597
\(673\) 1.06009 + 0.612042i 0.0408634 + 0.0235925i 0.520293 0.853988i \(-0.325823\pi\)
−0.479429 + 0.877581i \(0.659156\pi\)
\(674\) 9.45934i 0.364360i
\(675\) 4.99188 0.284822i 0.192138 0.0109628i
\(676\) −12.4233 −0.477819
\(677\) 19.9522i 0.766825i −0.923577 0.383412i \(-0.874749\pi\)
0.923577 0.383412i \(-0.125251\pi\)
\(678\) 9.53507 5.50508i 0.366192 0.211421i
\(679\) −13.1333 7.58253i −0.504011 0.290991i
\(680\) 1.75181 7.37202i 0.0671787 0.282704i
\(681\) −1.22638 + 0.708052i −0.0469951 + 0.0271326i
\(682\) 20.5807 11.8823i 0.788075 0.454996i
\(683\) −7.80416 13.5172i −0.298618 0.517221i 0.677202 0.735797i \(-0.263192\pi\)
−0.975820 + 0.218576i \(0.929859\pi\)
\(684\) −4.55166 2.62790i −0.174037 0.100480i
\(685\) 2.61439 2.76781i 0.0998905 0.105752i
\(686\) 10.7336 6.19702i 0.409809 0.236603i
\(687\) 24.0938 13.9106i 0.919237 0.530722i
\(688\) 4.70922 + 8.15661i 0.179537 + 0.310968i
\(689\) 2.42604i 0.0924248i
\(690\) 10.1593 10.7555i 0.386759 0.409455i
\(691\) −19.8289 34.3447i −0.754328 1.30654i −0.945707 0.325019i \(-0.894629\pi\)
0.191379 0.981516i \(-0.438704\pi\)
\(692\) 20.3758i 0.774571i
\(693\) 12.3320i 0.468455i
\(694\) 3.48638 + 6.03859i 0.132341 + 0.229222i
\(695\) 9.09165 38.2599i 0.344866 1.45128i
\(696\) 0.653545 1.13197i 0.0247726 0.0429073i
\(697\) 35.0507 1.32764
\(698\) 4.99936 8.65914i 0.189228 0.327753i
\(699\) −10.5711 + 18.3097i −0.399837 + 0.692538i
\(700\) −8.71619 13.2865i −0.329441 0.502183i
\(701\) 30.5819 17.6564i 1.15506 0.666875i 0.204945 0.978773i \(-0.434298\pi\)
0.950115 + 0.311899i \(0.100965\pi\)
\(702\) 0.759415i 0.0286623i
\(703\) −25.9473 18.6763i −0.978623 0.704389i
\(704\) −3.88035 −0.146246
\(705\) −11.4543 + 3.42181i −0.431393 + 0.128873i
\(706\) 0.898282 1.55587i 0.0338073 0.0585559i
\(707\) 5.54898 + 3.20370i 0.208691 + 0.120488i
\(708\) −3.08610 + 5.34529i −0.115983 + 0.200888i
\(709\) 11.4844i 0.431305i −0.976470 0.215652i \(-0.930812\pi\)
0.976470 0.215652i \(-0.0691878\pi\)
\(710\) 10.4712 + 9.89080i 0.392978 + 0.371195i
\(711\) 8.53330i 0.320024i
\(712\) 1.93582 1.11765i 0.0725481 0.0418856i
\(713\) 40.5218i 1.51755i
\(714\) −10.7694 −0.403036
\(715\) −6.31354 + 1.88608i −0.236113 + 0.0705355i
\(716\) 1.61515 + 0.932508i 0.0603610 + 0.0348494i
\(717\) 5.93461 0.221632
\(718\) 18.1257 + 31.3946i 0.676444 + 1.17164i
\(719\) 6.73406 + 11.6637i 0.251138 + 0.434984i 0.963839 0.266484i \(-0.0858619\pi\)
−0.712701 + 0.701468i \(0.752529\pi\)
\(720\) −2.14251 + 0.640045i −0.0798466 + 0.0238531i
\(721\) −22.2059 12.8206i −0.826991 0.477463i
\(722\) −4.31172 + 7.46812i −0.160466 + 0.277935i
\(723\) 12.4744 + 21.6064i 0.463930 + 0.803550i
\(724\) 6.08878 + 10.5461i 0.226288 + 0.391942i
\(725\) 6.52484 0.372289i 0.242326 0.0138264i
\(726\) 4.05712i 0.150574i
\(727\) −8.17953 + 14.1674i −0.303362 + 0.525439i −0.976895 0.213718i \(-0.931443\pi\)
0.673533 + 0.739157i \(0.264776\pi\)
\(728\) 2.09013 1.20674i 0.0774654 0.0447247i
\(729\) −1.00000 −0.0370370
\(730\) −12.7163 3.02175i −0.470651 0.111840i
\(731\) 15.9580 + 27.6401i 0.590228 + 1.02231i
\(732\) −9.76238 −0.360828
\(733\) 33.0277 + 19.0685i 1.21991 + 0.704313i 0.964898 0.262626i \(-0.0845886\pi\)
0.255008 + 0.966939i \(0.417922\pi\)
\(734\) 27.7434i 1.02403i
\(735\) −4.76009 + 5.03943i −0.175579 + 0.185882i
\(736\) −3.30827 + 5.73009i −0.121944 + 0.211214i
\(737\) 33.8684 + 19.5539i 1.24756 + 0.720278i
\(738\) −5.17175 8.95773i −0.190375 0.329738i
\(739\) −36.2617 −1.33391 −0.666954 0.745099i \(-0.732402\pi\)
−0.666954 + 0.745099i \(0.732402\pi\)
\(740\) −13.3566 + 2.56904i −0.491000 + 0.0944396i
\(741\) 3.99133 0.146625
\(742\) 5.07636 + 8.79251i 0.186359 + 0.322783i
\(743\) 5.97478 + 3.44954i 0.219193 + 0.126551i 0.605577 0.795787i \(-0.292942\pi\)
−0.386383 + 0.922338i \(0.626276\pi\)
\(744\) −3.06216 + 5.30382i −0.112264 + 0.194448i
\(745\) −29.3849 27.7560i −1.07658 1.01690i
\(746\) 15.8474i 0.580215i
\(747\) 6.05368 + 3.49509i 0.221492 + 0.127879i
\(748\) −13.1492 −0.480784
\(749\) 8.14911 + 14.1147i 0.297762 + 0.515739i
\(750\) −8.55188 7.20176i −0.312270 0.262971i
\(751\) −27.9667 −1.02052 −0.510260 0.860020i \(-0.670451\pi\)
−0.510260 + 0.860020i \(0.670451\pi\)
\(752\) 4.62995 2.67310i 0.168837 0.0974780i
\(753\) −2.54080 + 4.40080i −0.0925919 + 0.160374i
\(754\) 0.992624i 0.0361492i
\(755\) −33.2197 + 9.92393i −1.20899 + 0.361169i
\(756\) 1.58904 + 2.75229i 0.0577927 + 0.100100i
\(757\) 22.6799 + 39.2828i 0.824316 + 1.42776i 0.902441 + 0.430814i \(0.141773\pi\)
−0.0781247 + 0.996944i \(0.524893\pi\)
\(758\) −12.5851 + 21.7980i −0.457111 + 0.791740i
\(759\) −22.2347 12.8372i −0.807070 0.465962i
\(760\) 3.36395 + 11.2606i 0.122023 + 0.408465i
\(761\) 4.81085 + 8.33263i 0.174393 + 0.302058i 0.939951 0.341309i \(-0.110870\pi\)
−0.765558 + 0.643367i \(0.777537\pi\)
\(762\) −7.53996 13.0596i −0.273144 0.473099i
\(763\) −15.7601 −0.570555
\(764\) −18.9820 10.9593i −0.686746 0.396493i
\(765\) −7.26026 + 2.16890i −0.262495 + 0.0784169i
\(766\) −15.9964 −0.577975
\(767\) 4.68726i 0.169247i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) 31.0987i 1.12145i 0.828002 + 0.560725i \(0.189477\pi\)
−0.828002 + 0.560725i \(0.810523\pi\)
\(770\) −18.9351 + 20.0463i −0.682375 + 0.722420i
\(771\) 10.1658i 0.366111i
\(772\) −3.00544 + 5.20557i −0.108168 + 0.187353i
\(773\) 3.09863 + 1.78899i 0.111450 + 0.0643456i 0.554689 0.832058i \(-0.312837\pi\)
−0.443239 + 0.896404i \(0.646171\pi\)
\(774\) 4.70922 8.15661i 0.169269 0.293183i
\(775\) −30.5719 + 1.74435i −1.09818 + 0.0626587i
\(776\) 4.77178 0.171297