Properties

Label 462.2.p.b.241.2
Level $462$
Weight $2$
Character 462.241
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 241.2
Root \(0.500000 - 0.0286340i\) of defining polynomial
Character \(\chi\) \(=\) 462.241
Dual form 462.2.p.b.439.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.725202 - 0.418696i) q^{5} +1.00000 q^{6} +(-2.44037 + 1.02205i) q^{7} +1.00000i q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.725202 - 0.418696i) q^{5} +1.00000 q^{6} +(-2.44037 + 1.02205i) q^{7} +1.00000i q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.418696 + 0.725202i) q^{10} +(-3.15670 - 1.01748i) q^{11} +(-0.866025 + 0.500000i) q^{12} +2.59370 q^{13} +(1.60239 - 2.10531i) q^{14} -0.837391 q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.98686 + 5.17339i) q^{17} +(-0.866025 - 0.500000i) q^{18} +(1.55590 + 2.69491i) q^{19} -0.837391i q^{20} +(2.62445 + 0.335059i) q^{21} +(3.24252 - 0.697189i) q^{22} +(-1.43256 - 2.48126i) q^{23} +(0.500000 - 0.866025i) q^{24} +(-2.14939 + 3.72285i) q^{25} +(-2.24621 + 1.29685i) q^{26} -1.00000i q^{27} +(-0.335059 + 2.62445i) q^{28} +5.38769i q^{29} +(0.725202 - 0.418696i) q^{30} +(-0.913399 - 0.527351i) q^{31} +(0.866025 + 0.500000i) q^{32} +(2.22504 + 2.45951i) q^{33} -5.97372i q^{34} +(-1.34183 + 1.76297i) q^{35} +1.00000 q^{36} +(5.49467 + 9.51705i) q^{37} +(-2.69491 - 1.55590i) q^{38} +(-2.24621 - 1.29685i) q^{39} +(0.418696 + 0.725202i) q^{40} -11.2350 q^{41} +(-2.44037 + 1.02205i) q^{42} -1.27527i q^{43} +(-2.45951 + 2.22504i) q^{44} +(0.725202 + 0.418696i) q^{45} +(2.48126 + 1.43256i) q^{46} +(-10.6034 + 6.12185i) q^{47} +1.00000i q^{48} +(4.91081 - 4.98838i) q^{49} -4.29878i q^{50} +(5.17339 - 2.98686i) q^{51} +(1.29685 - 2.24621i) q^{52} +(-2.58730 + 4.48134i) q^{53} +(0.500000 + 0.866025i) q^{54} +(-2.71526 + 0.583820i) q^{55} +(-1.02205 - 2.44037i) q^{56} -3.11181i q^{57} +(-2.69384 - 4.66587i) q^{58} +(-8.38751 - 4.84253i) q^{59} +(-0.418696 + 0.725202i) q^{60} +(-2.03524 - 3.52514i) q^{61} +1.05470 q^{62} +(-2.10531 - 1.60239i) q^{63} -1.00000 q^{64} +(1.88096 - 1.08597i) q^{65} +(-3.15670 - 1.01748i) q^{66} +(-6.51916 + 11.2915i) q^{67} +(2.98686 + 5.17339i) q^{68} +2.86511i q^{69} +(0.280576 - 2.19769i) q^{70} +14.0795 q^{71} +(-0.866025 + 0.500000i) q^{72} +(4.95659 - 8.58507i) q^{73} +(-9.51705 - 5.49467i) q^{74} +(3.72285 - 2.14939i) q^{75} +3.11181 q^{76} +(8.74343 - 0.743301i) q^{77} +2.59370 q^{78} +(11.7018 - 6.75603i) q^{79} +(-0.725202 - 0.418696i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(9.72978 - 5.61749i) q^{82} +2.99287 q^{83} +(1.60239 - 2.10531i) q^{84} +5.00234i q^{85} +(0.637637 + 1.10442i) q^{86} +(2.69384 - 4.66587i) q^{87} +(1.01748 - 3.15670i) q^{88} +(7.28049 - 4.20339i) q^{89} -0.837391 q^{90} +(-6.32960 + 2.65091i) q^{91} -2.86511 q^{92} +(0.527351 + 0.913399i) q^{93} +(6.12185 - 10.6034i) q^{94} +(2.25669 + 1.30290i) q^{95} +(-0.500000 - 0.866025i) q^{96} +0.786131i q^{97} +(-1.75869 + 6.77547i) q^{98} +(-0.697189 - 3.24252i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 8q^{4} + 12q^{5} + 16q^{6} + 6q^{7} + 8q^{9} + O(q^{10}) \) \( 16q + 8q^{4} + 12q^{5} + 16q^{6} + 6q^{7} + 8q^{9} - 2q^{10} - 4q^{11} + 8q^{14} - 4q^{15} - 8q^{16} + 10q^{19} + 4q^{21} + 2q^{22} - 4q^{23} + 8q^{24} + 10q^{25} + 12q^{26} + 12q^{30} + 6q^{31} + 4q^{33} + 8q^{35} + 16q^{36} + 14q^{37} - 12q^{38} + 12q^{39} + 2q^{40} - 32q^{41} + 6q^{42} + 4q^{44} + 12q^{45} - 18q^{46} - 24q^{47} - 6q^{49} - 6q^{51} + 8q^{54} + 14q^{55} + 4q^{56} - 2q^{60} - 28q^{61} + 8q^{62} + 6q^{63} - 16q^{64} - 72q^{65} - 4q^{66} - 16q^{67} - 30q^{70} - 56q^{71} + 44q^{73} - 24q^{74} - 12q^{75} + 20q^{76} - 52q^{77} + 30q^{79} - 12q^{80} - 8q^{81} - 12q^{82} - 8q^{83} + 8q^{84} - 12q^{86} - 2q^{88} - 36q^{89} - 4q^{90} - 8q^{91} - 8q^{92} + 4q^{93} - 14q^{94} - 72q^{95} - 8q^{96} + 40q^{98} - 8q^{99} + O(q^{100}) \)

Character values

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

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

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
\(5\) 0.725202 0.418696i 0.324320 0.187246i −0.328996 0.944331i \(-0.606710\pi\)
0.653317 + 0.757085i \(0.273377\pi\)
\(6\) 1.00000 0.408248
\(7\) −2.44037 + 1.02205i −0.922373 + 0.386300i
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −0.418696 + 0.725202i −0.132403 + 0.229329i
\(11\) −3.15670 1.01748i −0.951780 0.306781i
\(12\) −0.866025 + 0.500000i −0.250000 + 0.144338i
\(13\) 2.59370 0.719364 0.359682 0.933075i \(-0.382885\pi\)
0.359682 + 0.933075i \(0.382885\pi\)
\(14\) 1.60239 2.10531i 0.428258 0.562668i
\(15\) −0.837391 −0.216214
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.98686 + 5.17339i −0.724420 + 1.25473i 0.234792 + 0.972046i \(0.424559\pi\)
−0.959212 + 0.282687i \(0.908774\pi\)
\(18\) −0.866025 0.500000i −0.204124 0.117851i
\(19\) 1.55590 + 2.69491i 0.356949 + 0.618254i 0.987449 0.157935i \(-0.0504837\pi\)
−0.630501 + 0.776189i \(0.717150\pi\)
\(20\) 0.837391i 0.187246i
\(21\) 2.62445 + 0.335059i 0.572702 + 0.0731160i
\(22\) 3.24252 0.697189i 0.691307 0.148641i
\(23\) −1.43256 2.48126i −0.298709 0.517379i 0.677132 0.735862i \(-0.263223\pi\)
−0.975841 + 0.218483i \(0.929889\pi\)
\(24\) 0.500000 0.866025i 0.102062 0.176777i
\(25\) −2.14939 + 3.72285i −0.429878 + 0.744570i
\(26\) −2.24621 + 1.29685i −0.440519 + 0.254334i
\(27\) 1.00000i 0.192450i
\(28\) −0.335059 + 2.62445i −0.0633203 + 0.495974i
\(29\) 5.38769i 1.00047i 0.865890 + 0.500234i \(0.166753\pi\)
−0.865890 + 0.500234i \(0.833247\pi\)
\(30\) 0.725202 0.418696i 0.132403 0.0764430i
\(31\) −0.913399 0.527351i −0.164051 0.0947151i 0.415727 0.909490i \(-0.363527\pi\)
−0.579778 + 0.814775i \(0.696861\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 2.22504 + 2.45951i 0.387330 + 0.428146i
\(34\) 5.97372i 1.02448i
\(35\) −1.34183 + 1.76297i −0.226811 + 0.297996i
\(36\) 1.00000 0.166667
\(37\) 5.49467 + 9.51705i 0.903319 + 1.56459i 0.823158 + 0.567812i \(0.192210\pi\)
0.0801603 + 0.996782i \(0.474457\pi\)
\(38\) −2.69491 1.55590i −0.437171 0.252401i
\(39\) −2.24621 1.29685i −0.359682 0.207663i
\(40\) 0.418696 + 0.725202i 0.0662016 + 0.114665i
\(41\) −11.2350 −1.75461 −0.877304 0.479934i \(-0.840661\pi\)
−0.877304 + 0.479934i \(0.840661\pi\)
\(42\) −2.44037 + 1.02205i −0.376557 + 0.157706i
\(43\) 1.27527i 0.194478i −0.995261 0.0972388i \(-0.968999\pi\)
0.995261 0.0972388i \(-0.0310010\pi\)
\(44\) −2.45951 + 2.22504i −0.370785 + 0.335438i
\(45\) 0.725202 + 0.418696i 0.108107 + 0.0624155i
\(46\) 2.48126 + 1.43256i 0.365842 + 0.211219i
\(47\) −10.6034 + 6.12185i −1.54666 + 0.892964i −0.548266 + 0.836304i \(0.684712\pi\)
−0.998394 + 0.0566600i \(0.981955\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 4.91081 4.98838i 0.701544 0.712626i
\(50\) 4.29878i 0.607939i
\(51\) 5.17339 2.98686i 0.724420 0.418244i
\(52\) 1.29685 2.24621i 0.179841 0.311494i
\(53\) −2.58730 + 4.48134i −0.355394 + 0.615560i −0.987185 0.159579i \(-0.948986\pi\)
0.631792 + 0.775138i \(0.282320\pi\)
\(54\) 0.500000 + 0.866025i 0.0680414 + 0.117851i
\(55\) −2.71526 + 0.583820i −0.366125 + 0.0787223i
\(56\) −1.02205 2.44037i −0.136578 0.326108i
\(57\) 3.11181i 0.412169i
\(58\) −2.69384 4.66587i −0.353719 0.612659i
\(59\) −8.38751 4.84253i −1.09196 0.630444i −0.157863 0.987461i \(-0.550460\pi\)
−0.934098 + 0.357017i \(0.883794\pi\)
\(60\) −0.418696 + 0.725202i −0.0540534 + 0.0936232i
\(61\) −2.03524 3.52514i −0.260586 0.451348i 0.705812 0.708399i \(-0.250582\pi\)
−0.966398 + 0.257051i \(0.917249\pi\)
\(62\) 1.05470 0.133947
\(63\) −2.10531 1.60239i −0.265244 0.201883i
\(64\) −1.00000 −0.125000
\(65\) 1.88096 1.08597i 0.233304 0.134698i
\(66\) −3.15670 1.01748i −0.388563 0.125243i
\(67\) −6.51916 + 11.2915i −0.796442 + 1.37948i 0.125478 + 0.992096i \(0.459954\pi\)
−0.921920 + 0.387381i \(0.873380\pi\)
\(68\) 2.98686 + 5.17339i 0.362210 + 0.627366i
\(69\) 2.86511i 0.344919i
\(70\) 0.280576 2.19769i 0.0335352 0.262674i
\(71\) 14.0795 1.67093 0.835467 0.549541i \(-0.185197\pi\)
0.835467 + 0.549541i \(0.185197\pi\)
\(72\) −0.866025 + 0.500000i −0.102062 + 0.0589256i
\(73\) 4.95659 8.58507i 0.580125 1.00481i −0.415339 0.909667i \(-0.636337\pi\)
0.995464 0.0951394i \(-0.0303297\pi\)
\(74\) −9.51705 5.49467i −1.10633 0.638743i
\(75\) 3.72285 2.14939i 0.429878 0.248190i
\(76\) 3.11181 0.356949
\(77\) 8.74343 0.743301i 0.996406 0.0847070i
\(78\) 2.59370 0.293679
\(79\) 11.7018 6.75603i 1.31655 0.760113i 0.333381 0.942792i \(-0.391810\pi\)
0.983173 + 0.182680i \(0.0584771\pi\)
\(80\) −0.725202 0.418696i −0.0810801 0.0468116i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 9.72978 5.61749i 1.07447 0.620348i
\(83\) 2.99287 0.328510 0.164255 0.986418i \(-0.447478\pi\)
0.164255 + 0.986418i \(0.447478\pi\)
\(84\) 1.60239 2.10531i 0.174836 0.229708i
\(85\) 5.00234i 0.542580i
\(86\) 0.637637 + 1.10442i 0.0687582 + 0.119093i
\(87\) 2.69384 4.66587i 0.288810 0.500234i
\(88\) 1.01748 3.15670i 0.108463 0.336505i
\(89\) 7.28049 4.20339i 0.771730 0.445559i −0.0617614 0.998091i \(-0.519672\pi\)
0.833491 + 0.552532i \(0.186338\pi\)
\(90\) −0.837391 −0.0882688
\(91\) −6.32960 + 2.65091i −0.663522 + 0.277891i
\(92\) −2.86511 −0.298709
\(93\) 0.527351 + 0.913399i 0.0546838 + 0.0947151i
\(94\) 6.12185 10.6034i 0.631421 1.09365i
\(95\) 2.25669 + 1.30290i 0.231532 + 0.133675i
\(96\) −0.500000 0.866025i −0.0510310 0.0883883i
\(97\) 0.786131i 0.0798195i 0.999203 + 0.0399097i \(0.0127070\pi\)
−0.999203 + 0.0399097i \(0.987293\pi\)
\(98\) −1.75869 + 6.77547i −0.177655 + 0.684426i
\(99\) −0.697189 3.24252i −0.0700701 0.325885i
\(100\) 2.14939 + 3.72285i 0.214939 + 0.372285i
\(101\) 3.36113 5.82166i 0.334445 0.579276i −0.648933 0.760846i \(-0.724784\pi\)
0.983378 + 0.181569i \(0.0581177\pi\)
\(102\) −2.98686 + 5.17339i −0.295743 + 0.512242i
\(103\) −3.52596 + 2.03571i −0.347423 + 0.200585i −0.663550 0.748132i \(-0.730951\pi\)
0.316127 + 0.948717i \(0.397618\pi\)
\(104\) 2.59370i 0.254334i
\(105\) 2.04354 0.855860i 0.199430 0.0835234i
\(106\) 5.17461i 0.502602i
\(107\) 0.209477 0.120942i 0.0202509 0.0116919i −0.489840 0.871812i \(-0.662945\pi\)
0.510091 + 0.860120i \(0.329612\pi\)
\(108\) −0.866025 0.500000i −0.0833333 0.0481125i
\(109\) −15.1773 8.76259i −1.45372 0.839304i −0.455028 0.890477i \(-0.650371\pi\)
−0.998690 + 0.0511733i \(0.983704\pi\)
\(110\) 2.05957 1.86323i 0.196372 0.177652i
\(111\) 10.9893i 1.04306i
\(112\) 2.10531 + 1.60239i 0.198933 + 0.151412i
\(113\) 8.08949 0.760995 0.380498 0.924782i \(-0.375753\pi\)
0.380498 + 0.924782i \(0.375753\pi\)
\(114\) 1.55590 + 2.69491i 0.145724 + 0.252401i
\(115\) −2.07779 1.19961i −0.193755 0.111864i
\(116\) 4.66587 + 2.69384i 0.433216 + 0.250117i
\(117\) 1.29685 + 2.24621i 0.119894 + 0.207663i
\(118\) 9.68506 0.891582
\(119\) 2.00155 15.6777i 0.183482 1.43717i
\(120\) 0.837391i 0.0764430i
\(121\) 8.92949 + 6.42373i 0.811771 + 0.583975i
\(122\) 3.52514 + 2.03524i 0.319151 + 0.184262i
\(123\) 9.72978 + 5.61749i 0.877304 + 0.506512i
\(124\) −0.913399 + 0.527351i −0.0820257 + 0.0473575i
\(125\) 7.78672i 0.696465i
\(126\) 2.62445 + 0.335059i 0.233805 + 0.0298495i
\(127\) 12.1313i 1.07648i 0.842791 + 0.538241i \(0.180911\pi\)
−0.842791 + 0.538241i \(0.819089\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) −0.637637 + 1.10442i −0.0561408 + 0.0972388i
\(130\) −1.08597 + 1.88096i −0.0952461 + 0.164971i
\(131\) −1.02224 1.77058i −0.0893139 0.154696i 0.817907 0.575350i \(-0.195134\pi\)
−0.907221 + 0.420654i \(0.861801\pi\)
\(132\) 3.24252 0.697189i 0.282225 0.0606825i
\(133\) −6.55132 4.98635i −0.568072 0.432371i
\(134\) 13.0383i 1.12634i
\(135\) −0.418696 0.725202i −0.0360356 0.0624155i
\(136\) −5.17339 2.98686i −0.443615 0.256121i
\(137\) 6.60556 11.4412i 0.564351 0.977485i −0.432759 0.901510i \(-0.642460\pi\)
0.997110 0.0759750i \(-0.0242069\pi\)
\(138\) −1.43256 2.48126i −0.121947 0.211219i
\(139\) 6.16293 0.522733 0.261367 0.965240i \(-0.415827\pi\)
0.261367 + 0.965240i \(0.415827\pi\)
\(140\) 0.855860 + 2.04354i 0.0723334 + 0.172711i
\(141\) 12.2437 1.03111
\(142\) −12.1932 + 7.03977i −1.02323 + 0.590764i
\(143\) −8.18754 2.63903i −0.684677 0.220687i
\(144\) 0.500000 0.866025i 0.0416667 0.0721688i
\(145\) 2.25580 + 3.90716i 0.187334 + 0.324472i
\(146\) 9.91318i 0.820421i
\(147\) −6.74708 + 1.86466i −0.556489 + 0.153795i
\(148\) 10.9893 0.903319
\(149\) 3.80788 2.19848i 0.311954 0.180107i −0.335847 0.941917i \(-0.609022\pi\)
0.647800 + 0.761810i \(0.275689\pi\)
\(150\) −2.14939 + 3.72285i −0.175497 + 0.303969i
\(151\) −8.86874 5.12037i −0.721728 0.416690i 0.0936604 0.995604i \(-0.470143\pi\)
−0.815388 + 0.578914i \(0.803477\pi\)
\(152\) −2.69491 + 1.55590i −0.218586 + 0.126200i
\(153\) −5.97372 −0.482947
\(154\) −7.20038 + 5.01543i −0.580223 + 0.404155i
\(155\) −0.883199 −0.0709402
\(156\) −2.24621 + 1.29685i −0.179841 + 0.103831i
\(157\) −13.8444 7.99304i −1.10490 0.637914i −0.167396 0.985890i \(-0.553536\pi\)
−0.937504 + 0.347975i \(0.886869\pi\)
\(158\) −6.75603 + 11.7018i −0.537481 + 0.930944i
\(159\) 4.48134 2.58730i 0.355394 0.205187i
\(160\) 0.837391 0.0662016
\(161\) 6.03195 + 4.59104i 0.475385 + 0.361825i
\(162\) 1.00000i 0.0785674i
\(163\) 0.261926 + 0.453669i 0.0205156 + 0.0355341i 0.876101 0.482128i \(-0.160136\pi\)
−0.855585 + 0.517662i \(0.826803\pi\)
\(164\) −5.61749 + 9.72978i −0.438652 + 0.759768i
\(165\) 2.64339 + 0.852026i 0.205788 + 0.0663301i
\(166\) −2.59190 + 1.49643i −0.201170 + 0.116146i
\(167\) −17.0544 −1.31971 −0.659855 0.751393i \(-0.729382\pi\)
−0.659855 + 0.751393i \(0.729382\pi\)
\(168\) −0.335059 + 2.62445i −0.0258504 + 0.202481i
\(169\) −6.27269 −0.482515
\(170\) −2.50117 4.33216i −0.191831 0.332261i
\(171\) −1.55590 + 2.69491i −0.118983 + 0.206085i
\(172\) −1.10442 0.637637i −0.0842112 0.0486194i
\(173\) 3.61831 + 6.26710i 0.275095 + 0.476479i 0.970159 0.242469i \(-0.0779573\pi\)
−0.695064 + 0.718948i \(0.744624\pi\)
\(174\) 5.38769i 0.408440i
\(175\) 1.44035 11.2819i 0.108880 0.852833i
\(176\) 0.697189 + 3.24252i 0.0525526 + 0.244414i
\(177\) 4.84253 + 8.38751i 0.363987 + 0.630444i
\(178\) −4.20339 + 7.28049i −0.315057 + 0.545696i
\(179\) −4.03318 + 6.98568i −0.301454 + 0.522134i −0.976466 0.215673i \(-0.930805\pi\)
0.675011 + 0.737807i \(0.264139\pi\)
\(180\) 0.725202 0.418696i 0.0540534 0.0312077i
\(181\) 5.61056i 0.417030i −0.978019 0.208515i \(-0.933137\pi\)
0.978019 0.208515i \(-0.0668630\pi\)
\(182\) 4.15614 5.46055i 0.308074 0.404763i
\(183\) 4.07048i 0.300899i
\(184\) 2.48126 1.43256i 0.182921 0.105609i
\(185\) 7.96950 + 4.60119i 0.585929 + 0.338286i
\(186\) −0.913399 0.527351i −0.0669737 0.0386673i
\(187\) 14.6924 13.2918i 1.07442 0.971992i
\(188\) 12.2437i 0.892964i
\(189\) 1.02205 + 2.44037i 0.0743435 + 0.177511i
\(190\) −2.60580 −0.189045
\(191\) −5.89206 10.2053i −0.426334 0.738433i 0.570210 0.821499i \(-0.306862\pi\)
−0.996544 + 0.0830666i \(0.973529\pi\)
\(192\) 0.866025 + 0.500000i 0.0625000 + 0.0360844i
\(193\) 15.6730 + 9.04882i 1.12817 + 0.651348i 0.943474 0.331448i \(-0.107537\pi\)
0.184694 + 0.982796i \(0.440870\pi\)
\(194\) −0.393065 0.680809i −0.0282204 0.0488792i
\(195\) −2.17195 −0.155536
\(196\) −1.86466 6.74708i −0.133190 0.481934i
\(197\) 6.23110i 0.443948i −0.975053 0.221974i \(-0.928750\pi\)
0.975053 0.221974i \(-0.0712500\pi\)
\(198\) 2.22504 + 2.45951i 0.158127 + 0.174790i
\(199\) −15.8196 9.13344i −1.12142 0.647453i −0.179658 0.983729i \(-0.557499\pi\)
−0.941763 + 0.336276i \(0.890832\pi\)
\(200\) −3.72285 2.14939i −0.263245 0.151985i
\(201\) 11.2915 6.51916i 0.796442 0.459826i
\(202\) 6.72227i 0.472977i
\(203\) −5.50651 13.1479i −0.386481 0.922805i
\(204\) 5.97372i 0.418244i
\(205\) −8.14763 + 4.70404i −0.569055 + 0.328544i
\(206\) 2.03571 3.52596i 0.141835 0.245665i
\(207\) 1.43256 2.48126i 0.0995696 0.172460i
\(208\) −1.29685 2.24621i −0.0899205 0.155747i
\(209\) −2.16952 10.0901i −0.150069 0.697947i
\(210\) −1.34183 + 1.76297i −0.0925952 + 0.121656i
\(211\) 10.2446i 0.705269i 0.935761 + 0.352635i \(0.114714\pi\)
−0.935761 + 0.352635i \(0.885286\pi\)
\(212\) 2.58730 + 4.48134i 0.177697 + 0.307780i
\(213\) −12.1932 7.03977i −0.835467 0.482357i
\(214\) −0.120942 + 0.209477i −0.00826740 + 0.0143196i
\(215\) −0.533952 0.924832i −0.0364152 0.0630730i
\(216\) 1.00000 0.0680414
\(217\) 2.76801 + 0.353388i 0.187905 + 0.0239895i
\(218\) 17.5252 1.18696
\(219\) −8.58507 + 4.95659i −0.580125 + 0.334935i
\(220\) −0.852026 + 2.64339i −0.0574436 + 0.178217i
\(221\) −7.74703 + 13.4183i −0.521122 + 0.902610i
\(222\) 5.49467 + 9.51705i 0.368778 + 0.638743i
\(223\) 15.6665i 1.04911i 0.851377 + 0.524554i \(0.175768\pi\)
−0.851377 + 0.524554i \(0.824232\pi\)
\(224\) −2.62445 0.335059i −0.175353 0.0223871i
\(225\) −4.29878 −0.286585
\(226\) −7.00571 + 4.04475i −0.466013 + 0.269053i
\(227\) 7.86025 13.6143i 0.521703 0.903616i −0.477978 0.878372i \(-0.658630\pi\)
0.999681 0.0252443i \(-0.00803637\pi\)
\(228\) −2.69491 1.55590i −0.178474 0.103042i
\(229\) −2.16867 + 1.25208i −0.143310 + 0.0827400i −0.569940 0.821686i \(-0.693034\pi\)
0.426631 + 0.904426i \(0.359700\pi\)
\(230\) 2.39922 0.158200
\(231\) −7.94368 3.72800i −0.522656 0.245284i
\(232\) −5.38769 −0.353719
\(233\) −0.0479052 + 0.0276581i −0.00313837 + 0.00181194i −0.501568 0.865118i \(-0.667243\pi\)
0.498430 + 0.866930i \(0.333910\pi\)
\(234\) −2.24621 1.29685i −0.146840 0.0847779i
\(235\) −5.12639 + 8.87916i −0.334409 + 0.579213i
\(236\) −8.38751 + 4.84253i −0.545981 + 0.315222i
\(237\) −13.5121 −0.877702
\(238\) 6.10547 + 14.5781i 0.395759 + 0.944957i
\(239\) 5.74465i 0.371591i 0.982588 + 0.185795i \(0.0594861\pi\)
−0.982588 + 0.185795i \(0.940514\pi\)
\(240\) 0.418696 + 0.725202i 0.0270267 + 0.0468116i
\(241\) −3.67123 + 6.35875i −0.236484 + 0.409603i −0.959703 0.281016i \(-0.909329\pi\)
0.723219 + 0.690619i \(0.242662\pi\)
\(242\) −10.9450 1.09837i −0.703573 0.0706058i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) −4.07048 −0.260586
\(245\) 1.47271 5.67372i 0.0940883 0.362481i
\(246\) −11.2350 −0.716316
\(247\) 4.03556 + 6.98979i 0.256776 + 0.444750i
\(248\) 0.527351 0.913399i 0.0334868 0.0580009i
\(249\) −2.59190 1.49643i −0.164255 0.0948326i
\(250\) −3.89336 6.74349i −0.246238 0.426496i
\(251\) 4.20803i 0.265608i 0.991142 + 0.132804i \(0.0423981\pi\)
−0.991142 + 0.132804i \(0.957602\pi\)
\(252\) −2.44037 + 1.02205i −0.153729 + 0.0643834i
\(253\) 1.99753 + 9.29019i 0.125583 + 0.584069i
\(254\) −6.06567 10.5060i −0.380594 0.659208i
\(255\) 2.50117 4.33216i 0.156629 0.271290i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −21.3446 + 12.3233i −1.33144 + 0.768706i −0.985520 0.169559i \(-0.945766\pi\)
−0.345918 + 0.938265i \(0.612432\pi\)
\(258\) 1.27527i 0.0793951i
\(259\) −23.1360 17.6093i −1.43760 1.09419i
\(260\) 2.17195i 0.134698i
\(261\) −4.66587 + 2.69384i −0.288810 + 0.166745i
\(262\) 1.77058 + 1.02224i 0.109387 + 0.0631545i
\(263\) 26.3130 + 15.1918i 1.62253 + 0.936768i 0.986240 + 0.165318i \(0.0528651\pi\)
0.636290 + 0.771450i \(0.280468\pi\)
\(264\) −2.45951 + 2.22504i −0.151372 + 0.136942i
\(265\) 4.33317i 0.266185i
\(266\) 8.16678 + 1.04264i 0.500738 + 0.0639284i
\(267\) −8.40678 −0.514487
\(268\) 6.51916 + 11.2915i 0.398221 + 0.689739i
\(269\) 17.2977 + 9.98686i 1.05466 + 0.608910i 0.923951 0.382511i \(-0.124941\pi\)
0.130711 + 0.991420i \(0.458274\pi\)
\(270\) 0.725202 + 0.418696i 0.0441344 + 0.0254810i
\(271\) −0.807639 1.39887i −0.0490606 0.0849754i 0.840452 0.541886i \(-0.182289\pi\)
−0.889513 + 0.456910i \(0.848956\pi\)
\(272\) 5.97372 0.362210
\(273\) 6.80705 + 0.869045i 0.411981 + 0.0525970i
\(274\) 13.2111i 0.798113i
\(275\) 10.5729 9.56496i 0.637568 0.576789i
\(276\) 2.48126 + 1.43256i 0.149354 + 0.0862298i
\(277\) −4.48663 2.59035i −0.269575 0.155639i 0.359119 0.933292i \(-0.383077\pi\)
−0.628695 + 0.777652i \(0.716410\pi\)
\(278\) −5.33726 + 3.08147i −0.320107 + 0.184814i
\(279\) 1.05470i 0.0631434i
\(280\) −1.76297 1.34183i −0.105358 0.0801898i
\(281\) 25.1883i 1.50261i 0.659956 + 0.751304i \(0.270575\pi\)
−0.659956 + 0.751304i \(0.729425\pi\)
\(282\) −10.6034 + 6.12185i −0.631421 + 0.364551i
\(283\) −11.5167 + 19.9475i −0.684598 + 1.18576i 0.288965 + 0.957340i \(0.406689\pi\)
−0.973563 + 0.228419i \(0.926644\pi\)
\(284\) 7.03977 12.1932i 0.417733 0.723536i
\(285\) −1.30290 2.25669i −0.0771772 0.133675i
\(286\) 8.41014 1.80830i 0.497302 0.106927i
\(287\) 27.4175 11.4828i 1.61840 0.677806i
\(288\) 1.00000i 0.0589256i
\(289\) −9.34267 16.1820i −0.549569 0.951881i
\(290\) −3.90716 2.25580i −0.229437 0.132465i
\(291\) 0.393065 0.680809i 0.0230419 0.0399097i
\(292\) −4.95659 8.58507i −0.290063 0.502403i
\(293\) −4.18076 −0.244242 −0.122121 0.992515i \(-0.538970\pi\)
−0.122121 + 0.992515i \(0.538970\pi\)
\(294\) 4.91081 4.98838i 0.286404 0.290928i
\(295\) −8.11019 −0.472194
\(296\) −9.51705 + 5.49467i −0.553167 + 0.319371i
\(297\) −1.01748 + 3.15670i −0.0590399 + 0.183170i
\(298\) −2.19848 + 3.80788i −0.127355 + 0.220585i
\(299\) −3.71563 6.43566i −0.214880 0.372184i
\(300\) 4.29878i 0.248190i
\(301\) 1.30340 + 3.11214i 0.0751267 + 0.179381i
\(302\) 10.2407 0.589288
\(303\) −5.82166 + 3.36113i −0.334445 + 0.193092i
\(304\) 1.55590 2.69491i 0.0892372 0.154563i
\(305\) −2.95192 1.70429i −0.169027 0.0975876i
\(306\) 5.17339 2.98686i 0.295743 0.170747i
\(307\) 10.0657 0.574478 0.287239 0.957859i \(-0.407263\pi\)
0.287239 + 0.957859i \(0.407263\pi\)
\(308\) 3.72800 7.94368i 0.212422 0.452633i
\(309\) 4.07143 0.231615
\(310\) 0.764873 0.441599i 0.0434418 0.0250812i
\(311\) 1.23817 + 0.714858i 0.0702102 + 0.0405359i 0.534694 0.845046i \(-0.320427\pi\)
−0.464484 + 0.885582i \(0.653760\pi\)
\(312\) 1.29685 2.24621i 0.0734198 0.127167i
\(313\) 26.3211 15.1965i 1.48776 0.858958i 0.487856 0.872924i \(-0.337779\pi\)
0.999902 + 0.0139662i \(0.00444572\pi\)
\(314\) 15.9861 0.902147
\(315\) −2.19769 0.280576i −0.123826 0.0158087i
\(316\) 13.5121i 0.760113i
\(317\) −5.42610 9.39829i −0.304760 0.527860i 0.672448 0.740145i \(-0.265243\pi\)
−0.977208 + 0.212284i \(0.931910\pi\)
\(318\) −2.58730 + 4.48134i −0.145089 + 0.251301i
\(319\) 5.48184 17.0073i 0.306924 0.952226i
\(320\) −0.725202 + 0.418696i −0.0405400 + 0.0234058i
\(321\) −0.241883 −0.0135006
\(322\) −7.51935 0.959984i −0.419037 0.0534978i
\(323\) −18.5891 −1.03432
\(324\) 0.500000 + 0.866025i 0.0277778 + 0.0481125i
\(325\) −5.57488 + 9.65597i −0.309239 + 0.535617i
\(326\) −0.453669 0.261926i −0.0251264 0.0145067i
\(327\) 8.76259 + 15.1773i 0.484572 + 0.839304i
\(328\) 11.2350i 0.620348i
\(329\) 19.6193 25.7768i 1.08164 1.42112i
\(330\) −2.71526 + 0.583820i −0.149470 + 0.0321382i
\(331\) 6.45747 + 11.1847i 0.354935 + 0.614765i 0.987107 0.160063i \(-0.0511697\pi\)
−0.632172 + 0.774828i \(0.717836\pi\)
\(332\) 1.49643 2.59190i 0.0821274 0.142249i
\(333\) −5.49467 + 9.51705i −0.301106 + 0.521531i
\(334\) 14.7695 8.52720i 0.808154 0.466588i
\(335\) 10.9182i 0.596523i
\(336\) −1.02205 2.44037i −0.0557577 0.133133i
\(337\) 16.4809i 0.897772i 0.893589 + 0.448886i \(0.148179\pi\)
−0.893589 + 0.448886i \(0.851821\pi\)
\(338\) 5.43231 3.13635i 0.295479 0.170595i
\(339\) −7.00571 4.04475i −0.380498 0.219680i
\(340\) 4.33216 + 2.50117i 0.234944 + 0.135645i
\(341\) 2.34676 + 2.59405i 0.127084 + 0.140476i
\(342\) 3.11181i 0.168267i
\(343\) −6.88579 + 17.1926i −0.371798 + 0.928314i
\(344\) 1.27527 0.0687582
\(345\) 1.19961 + 2.07779i 0.0645849 + 0.111864i
\(346\) −6.26710 3.61831i −0.336922 0.194522i
\(347\) 9.92748 + 5.73163i 0.532935 + 0.307690i 0.742211 0.670166i \(-0.233777\pi\)
−0.209276 + 0.977857i \(0.567111\pi\)
\(348\) −2.69384 4.66587i −0.144405 0.250117i
\(349\) −20.9561 −1.12176 −0.560878 0.827899i \(-0.689536\pi\)
−0.560878 + 0.827899i \(0.689536\pi\)
\(350\) 4.39358 + 10.4906i 0.234847 + 0.560746i
\(351\) 2.59370i 0.138442i
\(352\) −2.22504 2.45951i −0.118595 0.131092i
\(353\) 17.2530 + 9.96104i 0.918286 + 0.530173i 0.883088 0.469208i \(-0.155460\pi\)
0.0351983 + 0.999380i \(0.488794\pi\)
\(354\) −8.38751 4.84253i −0.445791 0.257378i
\(355\) 10.2105 5.89504i 0.541918 0.312876i
\(356\) 8.40678i 0.445559i
\(357\) −9.57226 + 12.5765i −0.506618 + 0.665621i
\(358\) 8.06636i 0.426321i
\(359\) −3.38989 + 1.95715i −0.178912 + 0.103295i −0.586781 0.809746i \(-0.699605\pi\)
0.407870 + 0.913040i \(0.366272\pi\)
\(360\) −0.418696 + 0.725202i −0.0220672 + 0.0382215i
\(361\) 4.65832 8.06845i 0.245175 0.424655i
\(362\) 2.80528 + 4.85889i 0.147442 + 0.255378i
\(363\) −4.52130 10.0279i −0.237307 0.526326i
\(364\) −0.869045 + 6.80705i −0.0455504 + 0.356786i
\(365\) 8.30121i 0.434505i
\(366\) −2.03524 3.52514i −0.106384 0.184262i
\(367\) 10.4720 + 6.04600i 0.546633 + 0.315599i 0.747763 0.663966i \(-0.231128\pi\)
−0.201130 + 0.979565i \(0.564461\pi\)
\(368\) −1.43256 + 2.48126i −0.0746772 + 0.129345i
\(369\) −5.61749 9.72978i −0.292435 0.506512i
\(370\) −9.20238 −0.478409
\(371\) 1.73380 13.5805i 0.0900145 0.705064i
\(372\) 1.05470 0.0546838
\(373\) 15.3231 8.84681i 0.793401 0.458070i −0.0477575 0.998859i \(-0.515207\pi\)
0.841158 + 0.540789i \(0.181874\pi\)
\(374\) −6.07812 + 18.8572i −0.314292 + 0.975084i
\(375\) 3.89336 6.74349i 0.201052 0.348232i
\(376\) −6.12185 10.6034i −0.315711 0.546827i
\(377\) 13.9741i 0.719701i
\(378\) −2.10531 1.60239i −0.108285 0.0824183i
\(379\) 19.6577 1.00975 0.504874 0.863193i \(-0.331539\pi\)
0.504874 + 0.863193i \(0.331539\pi\)
\(380\) 2.25669 1.30290i 0.115766 0.0668374i
\(381\) 6.06567 10.5060i 0.310754 0.538241i
\(382\) 10.2053 + 5.89206i 0.522151 + 0.301464i
\(383\) 1.18944 0.686725i 0.0607777 0.0350900i −0.469303 0.883037i \(-0.655495\pi\)
0.530081 + 0.847947i \(0.322162\pi\)
\(384\) −1.00000 −0.0510310
\(385\) 6.02954 4.19988i 0.307294 0.214046i
\(386\) −18.0976 −0.921145
\(387\) 1.10442 0.637637i 0.0561408 0.0324129i
\(388\) 0.680809 + 0.393065i 0.0345628 + 0.0199549i
\(389\) −15.6896 + 27.1752i −0.795496 + 1.37784i 0.127027 + 0.991899i \(0.459456\pi\)
−0.922524 + 0.385941i \(0.873877\pi\)
\(390\) 1.88096 1.08597i 0.0952461 0.0549904i
\(391\) 17.1154 0.865562
\(392\) 4.98838 + 4.91081i 0.251951 + 0.248033i
\(393\) 2.04449i 0.103131i
\(394\) 3.11555 + 5.39629i 0.156959 + 0.271861i
\(395\) 5.65744 9.79897i 0.284657 0.493040i
\(396\) −3.15670 1.01748i −0.158630 0.0511301i
\(397\) −30.5464 + 17.6360i −1.53308 + 0.885123i −0.533861 + 0.845572i \(0.679259\pi\)
−0.999218 + 0.0395508i \(0.987407\pi\)
\(398\) 18.2669 0.915636
\(399\) 3.18044 + 7.59396i 0.159221 + 0.380174i
\(400\) 4.29878 0.214939
\(401\) −4.48309 7.76494i −0.223875 0.387763i 0.732106 0.681190i \(-0.238537\pi\)
−0.955981 + 0.293428i \(0.905204\pi\)
\(402\) −6.51916 + 11.2915i −0.325146 + 0.563169i
\(403\) −2.36909 1.36779i −0.118013 0.0681347i
\(404\) −3.36113 5.82166i −0.167223 0.289638i
\(405\) 0.837391i 0.0416103i
\(406\) 11.3428 + 8.63320i 0.562931 + 0.428459i
\(407\) −7.66165 35.6332i −0.379774 1.76627i
\(408\) 2.98686 + 5.17339i 0.147872 + 0.256121i
\(409\) 17.9762 31.1357i 0.888867 1.53956i 0.0476498 0.998864i \(-0.484827\pi\)
0.841217 0.540698i \(-0.181840\pi\)
\(410\) 4.70404 8.14763i 0.232316 0.402383i
\(411\) −11.4412 + 6.60556i −0.564351 + 0.325828i
\(412\) 4.07143i 0.200585i
\(413\) 25.4180 + 3.24507i 1.25074 + 0.159680i
\(414\) 2.86511i 0.140813i
\(415\) 2.17043 1.25310i 0.106542 0.0615123i
\(416\) 2.24621 + 1.29685i 0.110130 + 0.0635834i
\(417\) −5.33726 3.08147i −0.261367 0.150900i
\(418\) 6.92391 + 7.65352i 0.338659 + 0.374346i
\(419\) 0.724634i 0.0354007i −0.999843 0.0177004i \(-0.994366\pi\)
0.999843 0.0177004i \(-0.00563449\pi\)
\(420\) 0.280576 2.19769i 0.0136907 0.107236i
\(421\) 3.71423 0.181021 0.0905103 0.995896i \(-0.471150\pi\)
0.0905103 + 0.995896i \(0.471150\pi\)
\(422\) −5.12231 8.87211i −0.249350 0.431887i
\(423\) −10.6034 6.12185i −0.515553 0.297655i
\(424\) −4.48134 2.58730i −0.217633 0.125651i
\(425\) −12.8398 22.2393i −0.622824 1.07876i
\(426\) 14.0795 0.682156
\(427\) 8.56963 + 6.52252i 0.414714 + 0.315647i
\(428\) 0.241883i 0.0116919i
\(429\) 5.77110 + 6.37924i 0.278632 + 0.307993i
\(430\) 0.924832 + 0.533952i 0.0445994 + 0.0257495i
\(431\) 3.53752 + 2.04239i 0.170396 + 0.0983784i 0.582773 0.812635i \(-0.301968\pi\)
−0.412376 + 0.911014i \(0.635301\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 30.3109i 1.45665i −0.685232 0.728325i \(-0.740299\pi\)
0.685232 0.728325i \(-0.259701\pi\)
\(434\) −2.57386 + 1.07796i −0.123549 + 0.0517439i
\(435\) 4.51160i 0.216315i
\(436\) −15.1773 + 8.76259i −0.726859 + 0.419652i
\(437\) 4.45784 7.72121i 0.213248 0.369356i
\(438\) 4.95659 8.58507i 0.236835 0.410210i
\(439\) −6.30512 10.9208i −0.300927 0.521221i 0.675419 0.737434i \(-0.263963\pi\)
−0.976346 + 0.216213i \(0.930629\pi\)
\(440\) −0.583820 2.71526i −0.0278325 0.129445i
\(441\) 6.77547 + 1.75869i 0.322641 + 0.0837473i
\(442\) 15.4941i 0.736978i
\(443\) −7.61859 13.1958i −0.361970 0.626951i 0.626315 0.779570i \(-0.284562\pi\)
−0.988285 + 0.152619i \(0.951229\pi\)
\(444\) −9.51705 5.49467i −0.451659 0.260766i
\(445\) 3.51988 6.09662i 0.166858 0.289007i
\(446\) −7.83326 13.5676i −0.370916 0.642445i
\(447\) −4.39696 −0.207969
\(448\) 2.44037 1.02205i 0.115297 0.0482875i
\(449\) 32.2780 1.52329 0.761647 0.647993i \(-0.224391\pi\)
0.761647 + 0.647993i \(0.224391\pi\)
\(450\) 3.72285 2.14939i 0.175497 0.101323i
\(451\) 35.4654 + 11.4313i 1.67000 + 0.538280i
\(452\) 4.04475 7.00571i 0.190249 0.329521i
\(453\) 5.12037 + 8.86874i 0.240576 + 0.416690i
\(454\) 15.7205i 0.737799i
\(455\) −3.48032 + 4.57262i −0.163160 + 0.214368i
\(456\) 3.11181 0.145724
\(457\) −26.2793 + 15.1724i −1.22929 + 0.709733i −0.966882 0.255223i \(-0.917851\pi\)
−0.262412 + 0.964956i \(0.584518\pi\)
\(458\) 1.25208 2.16867i 0.0585060 0.101335i
\(459\) 5.17339 + 2.98686i 0.241473 + 0.139415i
\(460\) −2.07779 + 1.19961i −0.0968773 + 0.0559321i
\(461\) 4.81402 0.224211 0.112106 0.993696i \(-0.464240\pi\)
0.112106 + 0.993696i \(0.464240\pi\)
\(462\) 8.74343 0.743301i 0.406781 0.0345815i
\(463\) −33.1197 −1.53920 −0.769600 0.638526i \(-0.779545\pi\)
−0.769600 + 0.638526i \(0.779545\pi\)
\(464\) 4.66587 2.69384i 0.216608 0.125059i
\(465\) 0.764873 + 0.441599i 0.0354701 + 0.0204787i
\(466\) 0.0276581 0.0479052i 0.00128123 0.00221916i
\(467\) −12.4591 + 7.19328i −0.576539 + 0.332865i −0.759757 0.650207i \(-0.774682\pi\)
0.183218 + 0.983072i \(0.441349\pi\)
\(468\) 2.59370 0.119894
\(469\) 4.36861 34.2184i 0.201724 1.58006i
\(470\) 10.2528i 0.472925i
\(471\) 7.99304 + 13.8444i 0.368300 + 0.637914i
\(472\) 4.84253 8.38751i 0.222896 0.386067i
\(473\) −1.29756 + 4.02566i −0.0596619 + 0.185100i
\(474\) 11.7018 6.75603i 0.537481 0.310315i
\(475\) −13.3770 −0.613777
\(476\) −12.5765 9.57226i −0.576445 0.438744i
\(477\) −5.17461 −0.236929
\(478\) −2.87233 4.97501i −0.131377 0.227552i
\(479\) −3.23604 + 5.60499i −0.147859 + 0.256099i −0.930436 0.366455i \(-0.880571\pi\)
0.782577 + 0.622554i \(0.213905\pi\)
\(480\) −0.725202 0.418696i −0.0331008 0.0191108i
\(481\) 14.2516 + 24.6844i 0.649815 + 1.12551i
\(482\) 7.34245i 0.334440i
\(483\) −2.92830 6.99194i −0.133242 0.318144i
\(484\) 10.0279 4.52130i 0.455812 0.205514i
\(485\) 0.329150 + 0.570104i 0.0149459 + 0.0258871i
\(486\) −0.500000 + 0.866025i −0.0226805 + 0.0392837i
\(487\) 2.64048 4.57345i 0.119652 0.207243i −0.799978 0.600029i \(-0.795156\pi\)
0.919630 + 0.392787i \(0.128489\pi\)
\(488\) 3.52514 2.03524i 0.159576 0.0921311i
\(489\) 0.523852i 0.0236894i
\(490\) 1.56145 + 5.64994i 0.0705392 + 0.255238i
\(491\) 11.3633i 0.512820i 0.966568 + 0.256410i \(0.0825398\pi\)
−0.966568 + 0.256410i \(0.917460\pi\)
\(492\) 9.72978 5.61749i 0.438652 0.253256i
\(493\) −27.8726 16.0923i −1.25532 0.724759i
\(494\) −6.98979 4.03556i −0.314485 0.181568i
\(495\) −1.86323 2.05957i −0.0837460 0.0925709i
\(496\) 1.05470i 0.0473575i
\(497\) −34.3593 + 14.3901i −1.54122 + 0.645482i
\(498\) 2.99287 0.134114
\(499\) 14.5860 + 25.2638i 0.652961 + 1.13096i 0.982401 + 0.186785i \(0.0598066\pi\)
−0.329440 + 0.944176i \(0.606860\pi\)
\(500\) 6.74349 + 3.89336i 0.301578 + 0.174116i
\(501\) 14.7695 + 8.52720i 0.659855 + 0.380967i
\(502\) −2.10401 3.64426i −0.0939067 0.162651i
\(503\) 22.4317 1.00018 0.500090 0.865973i \(-0.333300\pi\)
0.500090 + 0.865973i \(0.333300\pi\)
\(504\) 1.60239 2.10531i 0.0713763 0.0937780i
\(505\) 5.62917i 0.250495i
\(506\) −6.37500 7.04677i −0.283403 0.313267i
\(507\) 5.43231 + 3.13635i 0.241257 + 0.139290i
\(508\) 10.5060 + 6.06567i 0.466130 + 0.269121i
\(509\) −23.7016 + 13.6841i −1.05055 + 0.606537i −0.922804 0.385269i \(-0.874109\pi\)
−0.127749 + 0.991807i \(0.540775\pi\)
\(510\) 5.00234i 0.221507i
\(511\) −3.32151 + 26.0166i −0.146935 + 1.15091i
\(512\) 1.00000i 0.0441942i
\(513\) 2.69491 1.55590i 0.118983 0.0686948i
\(514\) 12.3233 21.3446i 0.543557 0.941469i
\(515\) −1.70469 + 2.95261i −0.0751176 + 0.130107i
\(516\) 0.637637 + 1.10442i 0.0280704 + 0.0486194i
\(517\) 39.7005 8.53618i 1.74602 0.375421i
\(518\) 28.8410 + 3.68208i 1.26720 + 0.161782i
\(519\) 7.23663i 0.317653i
\(520\) 1.08597 + 1.88096i 0.0476231 + 0.0824856i
\(521\) 30.3032 + 17.4955i 1.32761 + 0.766493i 0.984929 0.172960i \(-0.0553332\pi\)
0.342676 + 0.939454i \(0.388667\pi\)
\(522\) 2.69384 4.66587i 0.117906 0.204220i
\(523\) −19.1224 33.1210i −0.836165 1.44828i −0.893079 0.449900i \(-0.851459\pi\)
0.0569142 0.998379i \(-0.481874\pi\)
\(524\) −2.04449 −0.0893139
\(525\) −6.88834 + 9.05026i −0.300632 + 0.394986i
\(526\) −30.3837 −1.32479
\(527\) 5.45639 3.15025i 0.237684 0.137227i
\(528\) 1.01748 3.15670i 0.0442800 0.137378i
\(529\) 7.39556 12.8095i 0.321546 0.556934i
\(530\) −2.16659 3.75264i −0.0941105 0.163004i
\(531\) 9.68506i 0.420296i
\(532\) −7.59396 + 3.18044i −0.329240 + 0.137889i
\(533\) −29.1402 −1.26220
\(534\) 7.28049 4.20339i 0.315057 0.181899i
\(535\) 0.101275 0.175414i 0.00437852 0.00758382i
\(536\) −11.2915 6.51916i −0.487719 0.281585i
\(537\) 6.98568 4.03318i 0.301454 0.174045i
\(538\) −19.9737 −0.861128
\(539\) −20.5775 + 10.7502i −0.886336 + 0.463043i
\(540\) −0.837391 −0.0360356
\(541\) −2.73079 + 1.57662i −0.117406 + 0.0677842i −0.557553 0.830141i \(-0.688260\pi\)
0.440147 + 0.897926i \(0.354926\pi\)
\(542\) 1.39887 + 0.807639i 0.0600867 + 0.0346911i
\(543\) −2.80528 + 4.85889i −0.120386 + 0.208515i
\(544\) −5.17339 + 2.98686i −0.221807 + 0.128061i
\(545\) −14.6754 −0.628627
\(546\) −6.32960 + 2.65091i −0.270882 + 0.113448i
\(547\) 20.6313i 0.882131i 0.897475 + 0.441065i \(0.145399\pi\)
−0.897475 + 0.441065i \(0.854601\pi\)
\(548\) −6.60556 11.4412i −0.282176 0.488742i
\(549\) 2.03524 3.52514i 0.0868620 0.150449i
\(550\) −4.37390 + 13.5699i −0.186504 + 0.578624i
\(551\) −14.5193 + 8.38273i −0.618543 + 0.357116i
\(552\) −2.86511 −0.121947
\(553\) −21.6516 + 28.4471i −0.920722 + 1.20969i
\(554\) 5.18071 0.220107
\(555\) −4.60119 7.96950i −0.195310 0.338286i
\(556\) 3.08147 5.33726i 0.130683 0.226350i
\(557\) −1.10046 0.635353i −0.0466281 0.0269208i 0.476505 0.879172i \(-0.341904\pi\)
−0.523133 + 0.852251i \(0.675237\pi\)
\(558\) 0.527351 + 0.913399i 0.0223246 + 0.0386673i
\(559\) 3.30769i 0.139900i
\(560\) 2.19769 + 0.280576i 0.0928694 + 0.0118565i
\(561\) −19.3699 + 4.16481i −0.817798 + 0.175839i
\(562\) −12.5942 21.8137i −0.531252 0.920156i
\(563\) −20.1729 + 34.9405i −0.850187 + 1.47257i 0.0308519 + 0.999524i \(0.490178\pi\)
−0.881039 + 0.473043i \(0.843155\pi\)
\(564\) 6.12185 10.6034i 0.257777 0.446482i
\(565\) 5.86652 3.38704i 0.246806 0.142494i
\(566\) 23.0334i 0.968168i
\(567\) 0.335059 2.62445i 0.0140712 0.110217i
\(568\) 14.0795i 0.590764i
\(569\) 2.40837 1.39047i 0.100964 0.0582917i −0.448668 0.893699i \(-0.648101\pi\)
0.549632 + 0.835407i \(0.314768\pi\)
\(570\) 2.25669 + 1.30290i 0.0945224 + 0.0545725i
\(571\) 33.0674 + 19.0915i 1.38383 + 0.798953i 0.992610 0.121346i \(-0.0387209\pi\)
0.391217 + 0.920299i \(0.372054\pi\)
\(572\) −6.37924 + 5.77110i −0.266729 + 0.241302i
\(573\) 11.7841i 0.492288i
\(574\) −18.0029 + 23.6531i −0.751425 + 0.987262i
\(575\) 12.3165 0.513633
\(576\) −0.500000 0.866025i −0.0208333 0.0360844i
\(577\) 5.92826 + 3.42268i 0.246797 + 0.142488i 0.618297 0.785945i \(-0.287823\pi\)
−0.371500 + 0.928433i \(0.621156\pi\)
\(578\) 16.1820 + 9.34267i 0.673081 + 0.388604i
\(579\) −9.04882 15.6730i −0.376056 0.651348i
\(580\) 4.51160 0.187334
\(581\) −7.30370 + 3.05887i −0.303009 + 0.126903i
\(582\) 0.786131i 0.0325862i
\(583\) 12.7270 11.5137i 0.527098 0.476850i
\(584\) 8.58507 + 4.95659i 0.355253 + 0.205105i
\(585\) 1.88096 + 1.08597i 0.0777682 + 0.0448995i
\(586\) 3.62064 2.09038i 0.149567 0.0863527i
\(587\) 22.7050i 0.937135i −0.883428 0.468568i \(-0.844770\pi\)
0.883428 0.468568i \(-0.155230\pi\)
\(588\) −1.75869 + 6.77547i −0.0725273 + 0.279416i
\(589\) 3.28203i 0.135234i
\(590\) 7.02363 4.05510i 0.289158 0.166946i
\(591\) −3.11555 + 5.39629i −0.128157 + 0.221974i
\(592\) 5.49467 9.51705i 0.225830 0.391148i
\(593\) −5.05558 8.75652i −0.207608 0.359587i 0.743353 0.668900i \(-0.233234\pi\)
−0.950960 + 0.309313i \(0.899901\pi\)
\(594\) −0.697189 3.24252i −0.0286060 0.133042i
\(595\) −5.11267 12.2076i −0.209599 0.500461i
\(596\) 4.39696i 0.180107i
\(597\) 9.13344 + 15.8196i 0.373807 + 0.647453i
\(598\) 6.43566 + 3.71563i 0.263174 + 0.151943i
\(599\) 1.45219 2.51527i 0.0593349 0.102771i −0.834832 0.550505i \(-0.814435\pi\)
0.894167 + 0.447734i \(0.147769\pi\)
\(600\) 2.14939 + 3.72285i 0.0877484 + 0.151985i
\(601\) −8.68237 −0.354161 −0.177081 0.984196i \(-0.556665\pi\)
−0.177081 + 0.984196i \(0.556665\pi\)
\(602\) −2.68485 2.04349i −0.109426 0.0832866i
\(603\) −13.0383 −0.530961
\(604\) −8.86874 + 5.12037i −0.360864 + 0.208345i
\(605\) 9.16527 + 0.919765i 0.372621 + 0.0373938i
\(606\) 3.36113 5.82166i 0.136537 0.236489i
\(607\) 11.7341 + 20.3240i 0.476272 + 0.824927i 0.999630 0.0271855i \(-0.00865449\pi\)
−0.523359 + 0.852113i \(0.675321\pi\)
\(608\) 3.11181i 0.126200i
\(609\) −1.80520 + 14.1397i −0.0731502 + 0.572970i
\(610\) 3.40859 0.138010
\(611\) −27.5020 + 15.8783i −1.11261 + 0.642367i
\(612\) −2.98686 + 5.17339i −0.120737 + 0.209122i
\(613\) −26.8294 15.4899i −1.08363 0.625633i −0.151756 0.988418i \(-0.548493\pi\)
−0.931873 + 0.362785i \(0.881826\pi\)
\(614\) −8.71712 + 5.03283i −0.351794 + 0.203108i
\(615\) 9.40808 0.379370
\(616\) 0.743301 + 8.74343i 0.0299485 + 0.352283i
\(617\) 7.35346 0.296039 0.148020 0.988984i \(-0.452710\pi\)
0.148020 + 0.988984i \(0.452710\pi\)
\(618\) −3.52596 + 2.03571i −0.141835 + 0.0818884i
\(619\) −3.16686 1.82839i −0.127287 0.0734892i 0.435005 0.900428i \(-0.356747\pi\)
−0.562292 + 0.826939i \(0.690080\pi\)
\(620\) −0.441599 + 0.764873i −0.0177351 + 0.0307180i
\(621\) −2.48126 + 1.43256i −0.0995696 + 0.0574865i
\(622\) −1.42972 −0.0573264
\(623\) −13.4710 + 17.6989i −0.539704 + 0.709091i
\(624\) 2.59370i 0.103831i
\(625\) −7.48667 12.9673i −0.299467 0.518692i
\(626\) −15.1965 + 26.3211i −0.607375 + 1.05200i
\(627\) −3.16619 + 9.82304i −0.126445 + 0.392294i
\(628\) −13.8444 + 7.99304i −0.552450 + 0.318957i
\(629\) −65.6473 −2.61753
\(630\) 2.04354 0.855860i 0.0814168 0.0340983i
\(631\) 22.5757 0.898724 0.449362 0.893350i \(-0.351651\pi\)
0.449362 + 0.893350i \(0.351651\pi\)
\(632\) 6.75603 + 11.7018i 0.268740 + 0.465472i
\(633\) 5.12231 8.87211i 0.203594 0.352635i
\(634\) 9.39829 + 5.42610i 0.373254 + 0.215498i
\(635\) 5.07934 + 8.79767i 0.201567 + 0.349125i
\(636\) 5.17461i 0.205187i
\(637\) 12.7372 12.9384i 0.504666 0.512638i
\(638\) 3.75624 + 17.4697i 0.148711 + 0.691631i
\(639\) 7.03977 + 12.1932i 0.278489 + 0.482357i
\(640\) 0.418696 0.725202i 0.0165504 0.0286661i
\(641\) 22.2802 38.5905i 0.880017 1.52423i 0.0286961 0.999588i \(-0.490864\pi\)
0.851321 0.524646i \(-0.175802\pi\)
\(642\) 0.209477 0.120942i 0.00826740 0.00477319i
\(643\) 14.8587i 0.585968i 0.956117 + 0.292984i \(0.0946483\pi\)
−0.956117 + 0.292984i \(0.905352\pi\)
\(644\) 6.99194 2.92830i 0.275521 0.115391i
\(645\) 1.06790i 0.0420487i
\(646\) 16.0986 9.29454i 0.633391 0.365689i
\(647\) 41.5179 + 23.9704i 1.63224 + 0.942373i 0.983401 + 0.181445i \(0.0580774\pi\)
0.648836 + 0.760928i \(0.275256\pi\)
\(648\) −0.866025 0.500000i −0.0340207 0.0196419i
\(649\) 21.5497 + 23.8205i 0.845899 + 0.935037i
\(650\) 11.1498i 0.437329i
\(651\) −2.22048 1.69005i −0.0870273 0.0662383i
\(652\) 0.523852 0.0205156
\(653\) −12.9160 22.3711i −0.505440 0.875448i −0.999980 0.00629344i \(-0.997997\pi\)
0.494540 0.869155i \(-0.335337\pi\)
\(654\) −15.1773 8.76259i −0.593478 0.342644i
\(655\) −1.48267 0.856019i −0.0579326 0.0334474i
\(656\) 5.61749 + 9.72978i 0.219326 + 0.379884i
\(657\) 9.91318 0.386750
\(658\) −4.10237 + 32.1330i −0.159927 + 1.25267i
\(659\) 28.7951i 1.12170i 0.827918 + 0.560850i \(0.189525\pi\)
−0.827918 + 0.560850i \(0.810475\pi\)
\(660\) 2.05957 1.86323i 0.0801687 0.0725262i
\(661\) −23.0670 13.3177i −0.897201 0.517999i −0.0209100 0.999781i \(-0.506656\pi\)
−0.876291 + 0.481782i \(0.839990\pi\)
\(662\) −11.1847 6.45747i −0.434705 0.250977i
\(663\) 13.4183 7.74703i 0.521122 0.300870i
\(664\) 2.99287i 0.116146i
\(665\) −6.83880 0.873099i −0.265197 0.0338573i
\(666\) 10.9893i 0.425829i
\(667\) 13.3683 7.71817i 0.517621 0.298849i
\(668\) −8.52720 + 14.7695i −0.329927 + 0.571451i
\(669\) 7.83326 13.5676i 0.302851 0.524554i
\(670\) −5.45909 9.45541i −0.210903 0.365295i
\(671\) 2.83790 + 13.1986i 0.109556 + 0.509527i
\(672\) 2.10531 + 1.60239i 0.0812141 + 0.0618137i
\(673\) 12.3054i 0.474337i −0.971469 0.237168i \(-0.923781\pi\)
0.971469 0.237168i \(-0.0762193\pi\)
\(674\) −8.24045 14.2729i −0.317410 0.549771i
\(675\) 3.72285 + 2.14939i 0.143293 + 0.0827300i
\(676\) −3.13635 + 5.43231i −0.120629 + 0.208935i
\(677\) 5.73042 + 9.92539i 0.220238 + 0.381464i 0.954880 0.296991i \(-0.0959832\pi\)
−0.734642 + 0.678455i \(0.762650\pi\)
\(678\) 8.08949 0.310675
\(679\) −0.803469 1.91845i −0.0308343 0.0736233i
\(680\) −5.00234 −0.191831
\(681\) −13.6143 + 7.86025i −0.521703 + 0.301205i
\(682\) −3.32938 1.07313i −0.127488 0.0410924i
\(683\) 3.78001 6.54717i 0.144638 0.250520i −0.784600 0.620003i \(-0.787132\pi\)
0.929238 + 0.369482i \(0.120465\pi\)
\(684\) 1.55590 + 2.69491i 0.0594915 + 0.103042i
\(685\) 11.0629i 0.422691i
\(686\) −2.63304 18.3321i −0.100530 0.699924i
\(687\) 2.50417 0.0955399
\(688\) −1.10442 + 0.637637i −0.0421056 + 0.0243097i
\(689\) −6.71070 + 11.6233i −0.255657 + 0.442812i
\(690\) −2.07779 1.19961i −0.0791000 0.0456684i
\(691\) −16.4626 + 9.50471i −0.626268 + 0.361576i −0.779305 0.626644i \(-0.784428\pi\)
0.153037 + 0.988220i \(0.451095\pi\)
\(692\) 7.23663 0.275095
\(693\) 5.01543 + 7.20038i 0.190520 + 0.273520i
\(694\) −11.4633 −0.435140
\(695\) 4.46937 2.58039i 0.169533 0.0978799i
\(696\) 4.66587 + 2.69384i 0.176860 + 0.102110i
\(697\) 33.5573 58.1230i 1.27107 2.20156i
\(698\) 18.1485 10.4781i 0.686932 0.396600i
\(699\) 0.0553161 0.00209225
\(700\) −9.05026 6.88834i −0.342068 0.260355i
\(701\) 32.6349i 1.23260i 0.787510 + 0.616302i \(0.211370\pi\)
−0.787510 + 0.616302i \(0.788630\pi\)
\(702\) 1.29685 + 2.24621i 0.0489465 + 0.0847779i
\(703\) −17.0984 + 29.6152i −0.644877 + 1.11696i
\(704\) 3.15670 + 1.01748i 0.118973 + 0.0383476i
\(705\) 8.87916 5.12639i 0.334409 0.193071i
\(706\) −19.9221 −0.749778
\(707\) −2.25236 + 17.6423i −0.0847087 + 0.663505i
\(708\) 9.68506 0.363987
\(709\) −7.57532 13.1208i −0.284497 0.492764i 0.687990 0.725720i \(-0.258493\pi\)
−0.972487 + 0.232957i \(0.925160\pi\)
\(710\) −5.89504 + 10.2105i −0.221237 + 0.383194i
\(711\) 11.7018 + 6.75603i 0.438851 + 0.253371i
\(712\) 4.20339 + 7.28049i 0.157529 + 0.272848i
\(713\) 3.02184i 0.113169i
\(714\) 2.00155 15.6777i 0.0749062 0.586724i
\(715\) −7.04258 + 1.51426i −0.263377 + 0.0566300i
\(716\) 4.03318 + 6.98568i 0.150727 + 0.261067i
\(717\) 2.87233 4.97501i 0.107269 0.185795i
\(718\) 1.95715 3.38989i 0.0730403 0.126510i
\(719\) 4.46410 2.57735i 0.166483 0.0961189i −0.414444 0.910075i \(-0.636024\pi\)
0.580926 + 0.813956i \(0.302690\pi\)
\(720\) 0.837391i 0.0312077i
\(721\) 6.52403 8.57162i 0.242968 0.319224i
\(722\) 9.31665i 0.346730i
\(723\) 6.35875 3.67123i 0.236484 0.136534i
\(724\) −4.85889 2.80528i −0.180579 0.104257i
\(725\) −20.0575 11.5802i −0.744919 0.430079i
\(726\) 8.92949 + 6.42373i 0.331404 + 0.238407i
\(727\) 24.1329i 0.895041i −0.894274 0.447520i \(-0.852307\pi\)
0.894274 0.447520i \(-0.147693\pi\)
\(728\) −2.65091 6.32960i −0.0982492 0.234591i
\(729\) −1.00000 −0.0370370
\(730\) 4.15061 + 7.18906i 0.153621 + 0.266079i
\(731\) 6.59750 + 3.80907i 0.244017 + 0.140883i
\(732\) 3.52514 + 2.03524i 0.130293 + 0.0752247i
\(733\) 26.0520 + 45.1235i 0.962254 + 1.66667i 0.716818 + 0.697260i \(0.245598\pi\)
0.245436 + 0.969413i \(0.421069\pi\)
\(734\) −12.0920 −0.446324
\(735\) −4.11227 + 4.17723i −0.151683 + 0.154079i
\(736\) 2.86511i 0.105609i
\(737\) 32.0678 29.0108i 1.18123 1.06863i
\(738\) 9.72978 + 5.61749i 0.358158 + 0.206783i
\(739\) −4.80361 2.77336i −0.176704 0.102020i 0.409039 0.912517i \(-0.365864\pi\)
−0.585743 + 0.810497i \(0.699197\pi\)
\(740\) 7.96950 4.60119i 0.292965 0.169143i
\(741\) 8.07111i 0.296500i
\(742\) 5.28873 + 12.6280i 0.194155 + 0.463587i
\(743\) 18.2750i 0.670443i −0.942139 0.335222i \(-0.891189\pi\)
0.942139 0.335222i \(-0.108811\pi\)
\(744\) −0.913399 + 0.527351i −0.0334868 + 0.0193336i
\(745\) 1.84099 3.18869i 0.0674486 0.116824i
\(746\) −8.84681 + 15.3231i −0.323905 + 0.561019i
\(747\) 1.49643 + 2.59190i 0.0547516 + 0.0948326i
\(748\) −4.16481 19.3699i −0.152281 0.708234i
\(749\) −0.387592 + 0.509239i −0.0141623 + 0.0186072i
\(750\) 7.78672i 0.284331i
\(751\) 7.35764 + 12.7438i 0.268484 + 0.465028i 0.968471 0.249128i \(-0.0801440\pi\)
−0.699986 + 0.714156i \(0.746811\pi\)
\(752\) 10.6034 + 6.12185i 0.386665 + 0.223241i
\(753\) 2.10401 3.64426i 0.0766745 0.132804i
\(754\) −6.98704 12.1019i −0.254453 0.440725i
\(755\) −8.57551 −0.312095
\(756\) 2.62445 + 0.335059i 0.0954503 + 0.0121860i
\(757\) −46.8890 −1.70421 −0.852105 0.523371i \(-0.824674\pi\)
−0.852105 + 0.523371i \(0.824674\pi\)
\(758\) −17.0241 + 9.82884i −0.618342 + 0.357000i
\(759\) 2.91518 9.04430i 0.105814 0.328287i
\(760\) −1.30290 + 2.25669i −0.0472612 + 0.0818588i
\(761\) 18.5206 + 32.0787i 0.671373 + 1.16285i 0.977515 + 0.210866i \(0.0676283\pi\)
−0.306142 + 0.951986i \(0.599038\pi\)
\(762\) 12.1313i 0.439472i
\(763\) 45.9940 + 5.87198i 1.66509 + 0.212580i
\(764\) −11.7841 −0.426334
\(765\) −4.33216 + 2.50117i −0.156629 + 0.0904300i
\(766\) −0.686725 + 1.18944i −0.0248124 + 0.0429763i
\(767\) −21.7547 12.5601i −0.785518 0.453519i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) −10.3666 −0.373830 −0.186915 0.982376i \(-0.559849\pi\)
−0.186915 + 0.982376i \(0.559849\pi\)
\(770\) −3.12179 + 6.65197i −0.112502 + 0.239720i
\(771\) 24.6466 0.887625
\(772\) 15.6730 9.04882i 0.564084 0.325674i
\(773\) −18.7188 10.8073i −0.673268 0.388712i 0.124045 0.992277i \(-0.460413\pi\)
−0.797314 + 0.603565i \(0.793746\pi\)
\(774\) −0.637637 + 1.10442i −0.0229194 + 0.0396976i
\(775\) 3.92650