Properties

Label 126.2.m.a.83.3
Level $126$
Weight $2$
Character 126.83
Analytic conductor $1.006$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 126 = 2 \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 126.m (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.00611506547\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 6 x^{14} + 9 x^{12} + 54 x^{10} - 288 x^{8} + 486 x^{6} + 729 x^{4} - 4374 x^{2} + 6561\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 83.3
Root \(-1.40917 + 1.00709i\) of defining polynomial
Character \(\chi\) \(=\) 126.83
Dual form 126.2.m.a.41.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.40917 - 1.00709i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.17468 + 2.03460i) q^{5} +(-1.72392 + 0.167584i) q^{6} +(1.55364 + 2.14154i) q^{7} -1.00000i q^{8} +(0.971521 - 2.83834i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.40917 - 1.00709i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.17468 + 2.03460i) q^{5} +(-1.72392 + 0.167584i) q^{6} +(1.55364 + 2.14154i) q^{7} -1.00000i q^{8} +(0.971521 - 2.83834i) q^{9} -2.34936i q^{10} +(-4.91614 - 2.83834i) q^{11} +(1.57675 + 0.716830i) q^{12} +(1.48943 - 0.859925i) q^{13} +(-0.274725 - 2.63145i) q^{14} +(3.70436 + 1.68409i) q^{15} +(-0.500000 + 0.866025i) q^{16} -1.76883 q^{17} +(-2.26053 + 1.97231i) q^{18} -1.13932i q^{19} +(-1.17468 + 2.03460i) q^{20} +(4.34608 + 1.45313i) q^{21} +(2.83834 + 4.91614i) q^{22} +(-3.18272 + 1.83755i) q^{23} +(-1.00709 - 1.40917i) q^{24} +(-0.259741 + 0.449885i) q^{25} -1.71985 q^{26} +(-1.48943 - 4.97811i) q^{27} +(-1.07781 + 2.41626i) q^{28} +(3.59886 + 2.07781i) q^{29} +(-2.36603 - 3.31064i) q^{30} +(-7.24879 + 4.18509i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-9.78615 + 0.951321i) q^{33} +(1.53185 + 0.884414i) q^{34} +(-2.53215 + 5.67667i) q^{35} +(2.94383 - 0.577806i) q^{36} -9.19773 q^{37} +(-0.569660 + 0.986680i) q^{38} +(1.23284 - 2.71178i) q^{39} +(2.03460 - 1.17468i) q^{40} +(3.99709 + 6.92317i) q^{41} +(-3.03725 - 3.43149i) q^{42} +(1.76053 - 3.04933i) q^{43} -5.67667i q^{44} +(6.91611 - 1.35747i) q^{45} +3.67509 q^{46} +(5.90494 - 10.2277i) q^{47} +(0.167584 + 1.72392i) q^{48} +(-2.17238 + 6.65438i) q^{49} +(0.449885 - 0.259741i) q^{50} +(-2.49258 + 1.78138i) q^{51} +(1.48943 + 0.859925i) q^{52} +(-1.19917 + 5.05589i) q^{54} -13.3365i q^{55} +(2.14154 - 1.55364i) q^{56} +(-1.14740 - 1.60550i) q^{57} +(-2.07781 - 3.59886i) q^{58} +(1.11483 + 1.93094i) q^{59} +(0.393716 + 4.05012i) q^{60} +(7.79396 + 4.49985i) q^{61} +8.37019 q^{62} +(7.58780 - 2.32921i) q^{63} -1.00000 q^{64} +(3.49921 + 2.02027i) q^{65} +(8.95072 + 4.06921i) q^{66} +(-5.43562 - 9.41477i) q^{67} +(-0.884414 - 1.53185i) q^{68} +(-2.63442 + 5.79472i) q^{69} +(5.03124 - 3.65007i) q^{70} +4.52106i q^{71} +(-2.83834 - 0.971521i) q^{72} +5.34234i q^{73} +(7.96547 + 4.59886i) q^{74} +(0.0870571 + 0.895548i) q^{75} +(0.986680 - 0.569660i) q^{76} +(-1.55953 - 14.9379i) q^{77} +(-2.42356 + 1.73205i) q^{78} +(6.51422 - 11.2830i) q^{79} -2.34936 q^{80} +(-7.11229 - 5.51501i) q^{81} -7.99419i q^{82} +(-6.27298 + 10.8651i) q^{83} +(0.914596 + 4.49038i) q^{84} +(-2.07781 - 3.59886i) q^{85} +(-3.04933 + 1.76053i) q^{86} +(7.16396 - 0.696415i) q^{87} +(-2.83834 + 4.91614i) q^{88} -1.16106 q^{89} +(-6.66826 - 2.28245i) q^{90} +(4.15561 + 1.85366i) q^{91} +(-3.18272 - 1.83755i) q^{92} +(-6.00000 + 13.1977i) q^{93} +(-10.2277 + 5.90494i) q^{94} +(2.31806 - 1.33834i) q^{95} +(0.716830 - 1.57675i) q^{96} +(-3.97536 - 2.29517i) q^{97} +(5.20853 - 4.67667i) q^{98} +(-12.8323 + 11.1962i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 8q^{4} + 2q^{7} + 12q^{9} + O(q^{10}) \) \( 16q + 8q^{4} + 2q^{7} + 12q^{9} - 12q^{11} - 6q^{14} - 8q^{16} - 12q^{18} + 18q^{21} - 48q^{23} - 8q^{25} + 4q^{28} - 12q^{29} - 24q^{30} + 12q^{36} - 8q^{37} - 36q^{39} - 12q^{42} + 4q^{43} + 24q^{46} - 8q^{49} + 60q^{50} + 12q^{51} - 6q^{56} + 48q^{57} - 12q^{58} + 24q^{60} + 24q^{63} - 16q^{64} + 84q^{65} - 28q^{67} + 36q^{74} + 78q^{77} - 24q^{78} - 4q^{79} + 36q^{81} + 18q^{84} - 12q^{85} - 24q^{86} + 24q^{91} - 48q^{92} - 96q^{93} + 12q^{95} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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
\(3\) 1.40917 1.00709i 0.813585 0.581446i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.17468 + 2.03460i 0.525332 + 0.909902i 0.999565 + 0.0295026i \(0.00939234\pi\)
−0.474232 + 0.880400i \(0.657274\pi\)
\(6\) −1.72392 + 0.167584i −0.703789 + 0.0684160i
\(7\) 1.55364 + 2.14154i 0.587222 + 0.809426i
\(8\) 1.00000i 0.353553i
\(9\) 0.971521 2.83834i 0.323840 0.946112i
\(10\) 2.34936i 0.742932i
\(11\) −4.91614 2.83834i −1.48227 0.855790i −0.482475 0.875910i \(-0.660262\pi\)
−0.999798 + 0.0201197i \(0.993595\pi\)
\(12\) 1.57675 + 0.716830i 0.455170 + 0.206931i
\(13\) 1.48943 0.859925i 0.413094 0.238500i −0.279024 0.960284i \(-0.590011\pi\)
0.692118 + 0.721784i \(0.256678\pi\)
\(14\) −0.274725 2.63145i −0.0734234 0.703284i
\(15\) 3.70436 + 1.68409i 0.956462 + 0.434830i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.76883 −0.429004 −0.214502 0.976724i \(-0.568813\pi\)
−0.214502 + 0.976724i \(0.568813\pi\)
\(18\) −2.26053 + 1.97231i −0.532812 + 0.464878i
\(19\) 1.13932i 0.261378i −0.991423 0.130689i \(-0.958281\pi\)
0.991423 0.130689i \(-0.0417189\pi\)
\(20\) −1.17468 + 2.03460i −0.262666 + 0.454951i
\(21\) 4.34608 + 1.45313i 0.948393 + 0.317098i
\(22\) 2.83834 + 4.91614i 0.605135 + 1.04812i
\(23\) −3.18272 + 1.83755i −0.663644 + 0.383155i −0.793664 0.608356i \(-0.791829\pi\)
0.130020 + 0.991511i \(0.458496\pi\)
\(24\) −1.00709 1.40917i −0.205572 0.287646i
\(25\) −0.259741 + 0.449885i −0.0519482 + 0.0899769i
\(26\) −1.71985 −0.337290
\(27\) −1.48943 4.97811i −0.286642 0.958038i
\(28\) −1.07781 + 2.41626i −0.203686 + 0.456631i
\(29\) 3.59886 + 2.07781i 0.668292 + 0.385839i 0.795429 0.606046i \(-0.207245\pi\)
−0.127137 + 0.991885i \(0.540579\pi\)
\(30\) −2.36603 3.31064i −0.431975 0.604438i
\(31\) −7.24879 + 4.18509i −1.30192 + 0.751665i −0.980734 0.195350i \(-0.937416\pi\)
−0.321188 + 0.947015i \(0.604082\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −9.78615 + 0.951321i −1.70355 + 0.165604i
\(34\) 1.53185 + 0.884414i 0.262710 + 0.151676i
\(35\) −2.53215 + 5.67667i −0.428012 + 0.959532i
\(36\) 2.94383 0.577806i 0.490638 0.0963009i
\(37\) −9.19773 −1.51210 −0.756049 0.654515i \(-0.772873\pi\)
−0.756049 + 0.654515i \(0.772873\pi\)
\(38\) −0.569660 + 0.986680i −0.0924111 + 0.160061i
\(39\) 1.23284 2.71178i 0.197412 0.434232i
\(40\) 2.03460 1.17468i 0.321699 0.185733i
\(41\) 3.99709 + 6.92317i 0.624241 + 1.08122i 0.988687 + 0.149993i \(0.0479251\pi\)
−0.364446 + 0.931225i \(0.618742\pi\)
\(42\) −3.03725 3.43149i −0.468658 0.529490i
\(43\) 1.76053 3.04933i 0.268478 0.465018i −0.699991 0.714152i \(-0.746813\pi\)
0.968469 + 0.249134i \(0.0801459\pi\)
\(44\) 5.67667i 0.855790i
\(45\) 6.91611 1.35747i 1.03099 0.202360i
\(46\) 3.67509 0.541863
\(47\) 5.90494 10.2277i 0.861324 1.49186i −0.00932669 0.999957i \(-0.502969\pi\)
0.870651 0.491901i \(-0.163698\pi\)
\(48\) 0.167584 + 1.72392i 0.0241887 + 0.248827i
\(49\) −2.17238 + 6.65438i −0.310340 + 0.950626i
\(50\) 0.449885 0.259741i 0.0636233 0.0367329i
\(51\) −2.49258 + 1.78138i −0.349031 + 0.249443i
\(52\) 1.48943 + 0.859925i 0.206547 + 0.119250i
\(53\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(54\) −1.19917 + 5.05589i −0.163186 + 0.688019i
\(55\) 13.3365i 1.79830i
\(56\) 2.14154 1.55364i 0.286175 0.207614i
\(57\) −1.14740 1.60550i −0.151977 0.212653i
\(58\) −2.07781 3.59886i −0.272829 0.472554i
\(59\) 1.11483 + 1.93094i 0.145139 + 0.251387i 0.929425 0.369012i \(-0.120304\pi\)
−0.784286 + 0.620399i \(0.786971\pi\)
\(60\) 0.393716 + 4.05012i 0.0508285 + 0.522868i
\(61\) 7.79396 + 4.49985i 0.997915 + 0.576146i 0.907631 0.419770i \(-0.137889\pi\)
0.0902842 + 0.995916i \(0.471222\pi\)
\(62\) 8.37019 1.06301
\(63\) 7.58780 2.32921i 0.955973 0.293453i
\(64\) −1.00000 −0.125000
\(65\) 3.49921 + 2.02027i 0.434024 + 0.250584i
\(66\) 8.95072 + 4.06921i 1.10176 + 0.500885i
\(67\) −5.43562 9.41477i −0.664067 1.15020i −0.979537 0.201262i \(-0.935496\pi\)
0.315470 0.948935i \(-0.397838\pi\)
\(68\) −0.884414 1.53185i −0.107251 0.185764i
\(69\) −2.63442 + 5.79472i −0.317147 + 0.697602i
\(70\) 5.03124 3.65007i 0.601348 0.436266i
\(71\) 4.52106i 0.536551i 0.963342 + 0.268276i \(0.0864538\pi\)
−0.963342 + 0.268276i \(0.913546\pi\)
\(72\) −2.83834 0.971521i −0.334501 0.114495i
\(73\) 5.34234i 0.625274i 0.949873 + 0.312637i \(0.101212\pi\)
−0.949873 + 0.312637i \(0.898788\pi\)
\(74\) 7.96547 + 4.59886i 0.925967 + 0.534607i
\(75\) 0.0870571 + 0.895548i 0.0100525 + 0.103409i
\(76\) 0.986680 0.569660i 0.113180 0.0653445i
\(77\) −1.55953 14.9379i −0.177724 1.70233i
\(78\) −2.42356 + 1.73205i −0.274414 + 0.196116i
\(79\) 6.51422 11.2830i 0.732907 1.26943i −0.222729 0.974880i \(-0.571497\pi\)
0.955636 0.294551i \(-0.0951701\pi\)
\(80\) −2.34936 −0.262666
\(81\) −7.11229 5.51501i −0.790255 0.612778i
\(82\) 7.99419i 0.882810i
\(83\) −6.27298 + 10.8651i −0.688549 + 1.19260i 0.283758 + 0.958896i \(0.408419\pi\)
−0.972307 + 0.233707i \(0.924915\pi\)
\(84\) 0.914596 + 4.49038i 0.0997906 + 0.489941i
\(85\) −2.07781 3.59886i −0.225370 0.390352i
\(86\) −3.04933 + 1.76053i −0.328817 + 0.189843i
\(87\) 7.16396 0.696415i 0.768057 0.0746636i
\(88\) −2.83834 + 4.91614i −0.302568 + 0.524062i
\(89\) −1.16106 −0.123072 −0.0615360 0.998105i \(-0.519600\pi\)
−0.0615360 + 0.998105i \(0.519600\pi\)
\(90\) −6.66826 2.28245i −0.702897 0.240591i
\(91\) 4.15561 + 1.85366i 0.435626 + 0.194317i
\(92\) −3.18272 1.83755i −0.331822 0.191577i
\(93\) −6.00000 + 13.1977i −0.622171 + 1.36854i
\(94\) −10.2277 + 5.90494i −1.05490 + 0.609048i
\(95\) 2.31806 1.33834i 0.237828 0.137310i
\(96\) 0.716830 1.57675i 0.0731611 0.160927i
\(97\) −3.97536 2.29517i −0.403636 0.233039i 0.284416 0.958701i \(-0.408200\pi\)
−0.688052 + 0.725662i \(0.741534\pi\)
\(98\) 5.20853 4.67667i 0.526141 0.472415i
\(99\) −12.8323 + 11.1962i −1.28969 + 1.12526i
\(100\) −0.519482 −0.0519482
\(101\) 3.31155 5.73577i 0.329511 0.570730i −0.652904 0.757441i \(-0.726449\pi\)
0.982415 + 0.186711i \(0.0597827\pi\)
\(102\) 3.04933 0.296428i 0.301928 0.0293507i
\(103\) −5.07471 + 2.92989i −0.500026 + 0.288690i −0.728724 0.684807i \(-0.759886\pi\)
0.228698 + 0.973497i \(0.426553\pi\)
\(104\) −0.859925 1.48943i −0.0843225 0.146051i
\(105\) 2.14871 + 10.5495i 0.209693 + 1.02953i
\(106\) 0 0
\(107\) 4.71563i 0.455878i −0.973675 0.227939i \(-0.926801\pi\)
0.973675 0.227939i \(-0.0731986\pi\)
\(108\) 3.56645 3.77894i 0.343182 0.363629i
\(109\) 4.23669 0.405802 0.202901 0.979199i \(-0.434963\pi\)
0.202901 + 0.979199i \(0.434963\pi\)
\(110\) −6.66826 + 11.5498i −0.635794 + 1.10123i
\(111\) −12.9612 + 9.26298i −1.23022 + 0.879203i
\(112\) −2.63145 + 0.274725i −0.248649 + 0.0259591i
\(113\) 5.91693 3.41614i 0.556618 0.321363i −0.195169 0.980770i \(-0.562526\pi\)
0.751787 + 0.659406i \(0.229192\pi\)
\(114\) 0.190932 + 1.96410i 0.0178824 + 0.183955i
\(115\) −7.47736 4.31705i −0.697267 0.402567i
\(116\) 4.15561i 0.385839i
\(117\) −0.993738 5.06295i −0.0918712 0.468069i
\(118\) 2.22966i 0.205257i
\(119\) −2.74813 3.78802i −0.251921 0.347247i
\(120\) 1.68409 3.70436i 0.153736 0.338160i
\(121\) 10.6123 + 18.3810i 0.964754 + 1.67100i
\(122\) −4.49985 7.79396i −0.407397 0.705632i
\(123\) 12.6049 + 5.73047i 1.13654 + 0.516699i
\(124\) −7.24879 4.18509i −0.650961 0.375832i
\(125\) 10.5263 0.941504
\(126\) −7.73584 1.77675i −0.689163 0.158285i
\(127\) −6.67667 −0.592459 −0.296229 0.955117i \(-0.595729\pi\)
−0.296229 + 0.955117i \(0.595729\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −0.590074 6.07004i −0.0519532 0.534437i
\(130\) −2.02027 3.49921i −0.177189 0.306901i
\(131\) 3.73653 + 6.47185i 0.326462 + 0.565448i 0.981807 0.189881i \(-0.0608102\pi\)
−0.655345 + 0.755329i \(0.727477\pi\)
\(132\) −5.71694 7.99939i −0.497596 0.696258i
\(133\) 2.43990 1.77010i 0.211566 0.153487i
\(134\) 10.8712i 0.939133i
\(135\) 8.37888 8.87809i 0.721139 0.764104i
\(136\) 1.76883i 0.151676i
\(137\) 6.91772 + 3.99395i 0.591021 + 0.341226i 0.765501 0.643435i \(-0.222491\pi\)
−0.174480 + 0.984661i \(0.555825\pi\)
\(138\) 5.17883 3.70117i 0.440851 0.315064i
\(139\) 17.9792 10.3803i 1.52498 0.880446i 0.525415 0.850846i \(-0.323910\pi\)
0.999562 0.0295993i \(-0.00942312\pi\)
\(140\) −6.18222 + 0.645428i −0.522493 + 0.0545486i
\(141\) −1.97915 20.3593i −0.166675 1.71457i
\(142\) 2.26053 3.91535i 0.189699 0.328569i
\(143\) −9.76302 −0.816425
\(144\) 1.97231 + 2.26053i 0.164359 + 0.188377i
\(145\) 9.76302i 0.810774i
\(146\) 2.67117 4.62660i 0.221068 0.382900i
\(147\) 3.64033 + 11.5649i 0.300250 + 0.953861i
\(148\) −4.59886 7.96547i −0.378024 0.654757i
\(149\) −1.03726 + 0.598865i −0.0849760 + 0.0490609i −0.541886 0.840452i \(-0.682290\pi\)
0.456910 + 0.889513i \(0.348956\pi\)
\(150\) 0.372380 0.819096i 0.0304047 0.0668789i
\(151\) −7.61229 + 13.1849i −0.619480 + 1.07297i 0.370101 + 0.928991i \(0.379323\pi\)
−0.989581 + 0.143979i \(0.954010\pi\)
\(152\) −1.13932 −0.0924111
\(153\) −1.71845 + 5.02053i −0.138929 + 0.405886i
\(154\) −6.11835 + 13.7163i −0.493030 + 1.10529i
\(155\) −17.0300 9.83228i −1.36788 0.789748i
\(156\) 2.96489 0.288220i 0.237381 0.0230761i
\(157\) 8.68358 5.01347i 0.693025 0.400118i −0.111719 0.993740i \(-0.535636\pi\)
0.804744 + 0.593621i \(0.202302\pi\)
\(158\) −11.2830 + 6.51422i −0.897624 + 0.518243i
\(159\) 0 0
\(160\) 2.03460 + 1.17468i 0.160850 + 0.0928665i
\(161\) −8.88000 3.96104i −0.699842 0.312173i
\(162\) 3.40192 + 8.33228i 0.267280 + 0.654646i
\(163\) 12.0032 0.940160 0.470080 0.882624i \(-0.344225\pi\)
0.470080 + 0.882624i \(0.344225\pi\)
\(164\) −3.99709 + 6.92317i −0.312121 + 0.540609i
\(165\) −13.4311 18.7934i −1.04561 1.46307i
\(166\) 10.8651 6.27298i 0.843297 0.486878i
\(167\) 8.57472 + 14.8518i 0.663532 + 1.14927i 0.979681 + 0.200561i \(0.0642765\pi\)
−0.316150 + 0.948709i \(0.602390\pi\)
\(168\) 1.45313 4.34608i 0.112111 0.335307i
\(169\) −5.02106 + 8.69673i −0.386235 + 0.668979i
\(170\) 4.15561i 0.318721i
\(171\) −3.23377 1.10687i −0.247293 0.0846447i
\(172\) 3.52106 0.268478
\(173\) 0.993738 1.72121i 0.0755525 0.130861i −0.825774 0.564001i \(-0.809261\pi\)
0.901326 + 0.433140i \(0.142595\pi\)
\(174\) −6.55238 2.97887i −0.496735 0.225827i
\(175\) −1.36699 + 0.142715i −0.103335 + 0.0107882i
\(176\) 4.91614 2.83834i 0.370568 0.213948i
\(177\) 3.51563 + 1.59829i 0.264251 + 0.120135i
\(178\) 1.00551 + 0.580529i 0.0753659 + 0.0435125i
\(179\) 8.31122i 0.621210i −0.950539 0.310605i \(-0.899468\pi\)
0.950539 0.310605i \(-0.100532\pi\)
\(180\) 4.63366 + 5.31079i 0.345373 + 0.395843i
\(181\) 15.4541i 1.14870i −0.818611 0.574348i \(-0.805256\pi\)
0.818611 0.574348i \(-0.194744\pi\)
\(182\) −2.67203 3.68312i −0.198064 0.273011i
\(183\) 15.5148 1.50821i 1.14689 0.111490i
\(184\) 1.83755 + 3.18272i 0.135466 + 0.234634i
\(185\) −10.8044 18.7137i −0.794354 1.37586i
\(186\) 11.7950 8.42957i 0.864853 0.618086i
\(187\) 8.69581 + 5.02053i 0.635901 + 0.367137i
\(188\) 11.8099 0.861324
\(189\) 8.34677 10.9239i 0.607138 0.794596i
\(190\) −2.67667 −0.194186
\(191\) 10.6851 + 6.16904i 0.773146 + 0.446376i 0.833996 0.551771i \(-0.186048\pi\)
−0.0608498 + 0.998147i \(0.519381\pi\)
\(192\) −1.40917 + 1.00709i −0.101698 + 0.0726808i
\(193\) −2.19694 3.80521i −0.158139 0.273905i 0.776058 0.630661i \(-0.217216\pi\)
−0.934198 + 0.356756i \(0.883883\pi\)
\(194\) 2.29517 + 3.97536i 0.164784 + 0.285414i
\(195\) 6.96559 0.677132i 0.498816 0.0484904i
\(196\) −6.84905 + 1.44585i −0.489218 + 0.103275i
\(197\) 10.8865i 0.775632i −0.921737 0.387816i \(-0.873230\pi\)
0.921737 0.387816i \(-0.126770\pi\)
\(198\) 16.7112 3.28001i 1.18761 0.233100i
\(199\) 27.5665i 1.95414i 0.212926 + 0.977068i \(0.431701\pi\)
−0.212926 + 0.977068i \(0.568299\pi\)
\(200\) 0.449885 + 0.259741i 0.0318116 + 0.0183665i
\(201\) −17.1413 7.79283i −1.20905 0.549664i
\(202\) −5.73577 + 3.31155i −0.403567 + 0.233000i
\(203\) 1.14165 + 10.9353i 0.0801282 + 0.767506i
\(204\) −2.78901 1.26795i −0.195270 0.0887742i
\(205\) −9.39060 + 16.2650i −0.655868 + 1.13600i
\(206\) 5.85977 0.408270
\(207\) 2.12349 + 10.8189i 0.147593 + 0.751962i
\(208\) 1.71985i 0.119250i
\(209\) −3.23377 + 5.60106i −0.223685 + 0.387433i
\(210\) 3.41392 10.2105i 0.235583 0.704591i
\(211\) 5.15561 + 8.92978i 0.354927 + 0.614751i 0.987105 0.160071i \(-0.0511724\pi\)
−0.632179 + 0.774823i \(0.717839\pi\)
\(212\) 0 0
\(213\) 4.55313 + 6.37094i 0.311976 + 0.436530i
\(214\) −2.35782 + 4.08386i −0.161177 + 0.279167i
\(215\) 8.27223 0.564161
\(216\) −4.97811 + 1.48943i −0.338718 + 0.101343i
\(217\) −20.2246 9.02143i −1.37293 0.612415i
\(218\) −3.66908 2.11835i −0.248502 0.143473i
\(219\) 5.38024 + 7.52827i 0.363563 + 0.508713i
\(220\) 11.5498 6.66826i 0.778686 0.449574i
\(221\) −2.63455 + 1.52106i −0.177219 + 0.102318i
\(222\) 15.8562 1.54140i 1.06420 0.103452i
\(223\) −6.24329 3.60456i −0.418081 0.241379i 0.276175 0.961107i \(-0.410933\pi\)
−0.694256 + 0.719728i \(0.744267\pi\)
\(224\) 2.41626 + 1.07781i 0.161443 + 0.0720139i
\(225\) 1.02458 + 1.17430i 0.0683053 + 0.0782870i
\(226\) −6.83228 −0.454477
\(227\) 6.37800 11.0470i 0.423323 0.733217i −0.572939 0.819598i \(-0.694197\pi\)
0.996262 + 0.0863812i \(0.0275303\pi\)
\(228\) 0.816699 1.79643i 0.0540872 0.118971i
\(229\) 3.89208 2.24709i 0.257196 0.148492i −0.365859 0.930670i \(-0.619225\pi\)
0.623055 + 0.782178i \(0.285891\pi\)
\(230\) 4.31705 + 7.47736i 0.284658 + 0.493042i
\(231\) −17.2415 19.4794i −1.13441 1.28165i
\(232\) 2.07781 3.59886i 0.136415 0.236277i
\(233\) 2.15403i 0.141115i −0.997508 0.0705577i \(-0.977522\pi\)
0.997508 0.0705577i \(-0.0224779\pi\)
\(234\) −1.67087 + 4.88151i −0.109228 + 0.319114i
\(235\) 27.7456 1.80993
\(236\) −1.11483 + 1.93094i −0.0725693 + 0.125694i
\(237\) −2.18336 22.4600i −0.141825 1.45894i
\(238\) 0.485942 + 4.65458i 0.0314989 + 0.301712i
\(239\) −8.78317 + 5.07096i −0.568136 + 0.328013i −0.756404 0.654104i \(-0.773046\pi\)
0.188269 + 0.982118i \(0.439712\pi\)
\(240\) −3.31064 + 2.36603i −0.213701 + 0.152726i
\(241\) 9.13490 + 5.27404i 0.588431 + 0.339731i 0.764477 0.644651i \(-0.222997\pi\)
−0.176046 + 0.984382i \(0.556331\pi\)
\(242\) 21.2246i 1.36437i
\(243\) −15.5766 0.608830i −0.999237 0.0390564i
\(244\) 8.99970i 0.576146i
\(245\) −16.0909 + 3.39682i −1.02801 + 0.217015i
\(246\) −8.05090 11.2652i −0.513307 0.718241i
\(247\) −0.979729 1.69694i −0.0623387 0.107974i
\(248\) 4.18509 + 7.24879i 0.265754 + 0.460299i
\(249\) 2.10251 + 21.6283i 0.133241 + 1.37064i
\(250\) −9.11608 5.26317i −0.576551 0.332872i
\(251\) −29.3005 −1.84943 −0.924714 0.380662i \(-0.875696\pi\)
−0.924714 + 0.380662i \(0.875696\pi\)
\(252\) 5.81106 + 5.40663i 0.366062 + 0.340585i
\(253\) 20.8623 1.31160
\(254\) 5.78217 + 3.33834i 0.362805 + 0.209466i
\(255\) −6.55238 2.97887i −0.410326 0.186544i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −3.81430 6.60656i −0.237930 0.412106i 0.722190 0.691694i \(-0.243135\pi\)
−0.960120 + 0.279588i \(0.909802\pi\)
\(258\) −2.52400 + 5.55185i −0.157137 + 0.345643i
\(259\) −14.2900 19.6973i −0.887937 1.22393i
\(260\) 4.04054i 0.250584i
\(261\) 9.39388 8.19615i 0.581467 0.507329i
\(262\) 7.47305i 0.461687i
\(263\) −10.5531 6.09281i −0.650729 0.375699i 0.138006 0.990431i \(-0.455931\pi\)
−0.788736 + 0.614733i \(0.789264\pi\)
\(264\) 0.951321 + 9.78615i 0.0585498 + 0.602296i
\(265\) 0 0
\(266\) −2.99806 + 0.313000i −0.183823 + 0.0191913i
\(267\) −1.63613 + 1.16930i −0.100129 + 0.0715597i
\(268\) 5.43562 9.41477i 0.332034 0.575099i
\(269\) 2.77433 0.169154 0.0845771 0.996417i \(-0.473046\pi\)
0.0845771 + 0.996417i \(0.473046\pi\)
\(270\) −11.6954 + 3.49921i −0.711757 + 0.212955i
\(271\) 3.20793i 0.194868i −0.995242 0.0974338i \(-0.968937\pi\)
0.995242 0.0974338i \(-0.0310634\pi\)
\(272\) 0.884414 1.53185i 0.0536255 0.0928821i
\(273\) 7.72278 1.57297i 0.467404 0.0952003i
\(274\) −3.99395 6.91772i −0.241283 0.417915i
\(275\) 2.55385 1.47446i 0.154003 0.0889135i
\(276\) −6.33558 + 0.615888i −0.381357 + 0.0370721i
\(277\) −5.04054 + 8.73047i −0.302857 + 0.524563i −0.976782 0.214236i \(-0.931274\pi\)
0.673925 + 0.738800i \(0.264607\pi\)
\(278\) −20.7606 −1.24514
\(279\) 4.83634 + 24.6404i 0.289544 + 1.47518i
\(280\) 5.67667 + 2.53215i 0.339246 + 0.151325i
\(281\) 4.21999 + 2.43641i 0.251743 + 0.145344i 0.620562 0.784157i \(-0.286904\pi\)
−0.368819 + 0.929501i \(0.620238\pi\)
\(282\) −8.46568 + 18.6213i −0.504124 + 1.10888i
\(283\) −2.44030 + 1.40891i −0.145061 + 0.0837508i −0.570774 0.821107i \(-0.693357\pi\)
0.425713 + 0.904858i \(0.360023\pi\)
\(284\) −3.91535 + 2.26053i −0.232333 + 0.134138i
\(285\) 1.91872 4.22045i 0.113655 0.249998i
\(286\) 8.45502 + 4.88151i 0.499956 + 0.288650i
\(287\) −8.61618 + 19.3161i −0.508597 + 1.14019i
\(288\) −0.577806 2.94383i −0.0340475 0.173467i
\(289\) −13.8712 −0.815956
\(290\) 4.88151 8.45502i 0.286652 0.496496i
\(291\) −7.91341 + 0.769270i −0.463892 + 0.0450954i
\(292\) −4.62660 + 2.67117i −0.270751 + 0.156318i
\(293\) −4.05694 7.02683i −0.237009 0.410512i 0.722846 0.691010i \(-0.242834\pi\)
−0.959855 + 0.280498i \(0.909500\pi\)
\(294\) 2.62985 11.8357i 0.153376 0.690272i
\(295\) −2.61914 + 4.53648i −0.152492 + 0.264124i
\(296\) 9.19773i 0.534607i
\(297\) −6.80728 + 28.7006i −0.394999 + 1.66538i
\(298\) 1.19773 0.0693826
\(299\) −3.16030 + 5.47381i −0.182765 + 0.316558i
\(300\) −0.732039 + 0.523168i −0.0422643 + 0.0302051i
\(301\) 9.26549 0.967324i 0.534054 0.0557556i
\(302\) 13.1849 7.61229i 0.758705 0.438038i
\(303\) −1.10993 11.4177i −0.0637637 0.655931i
\(304\) 0.986680 + 0.569660i 0.0565900 + 0.0326722i
\(305\) 21.1435i 1.21067i
\(306\) 3.99849 3.48868i 0.228578 0.199434i
\(307\) 10.8996i 0.622074i 0.950398 + 0.311037i \(0.100676\pi\)
−0.950398 + 0.311037i \(0.899324\pi\)
\(308\) 12.1568 8.81952i 0.692699 0.502539i
\(309\) −4.20046 + 9.23943i −0.238956 + 0.525613i
\(310\) 9.83228 + 17.0300i 0.558436 + 0.967240i
\(311\) 4.11819 + 7.13291i 0.233521 + 0.404470i 0.958842 0.283941i \(-0.0916419\pi\)
−0.725321 + 0.688411i \(0.758309\pi\)
\(312\) −2.71178 1.23284i −0.153524 0.0697958i
\(313\) −29.2736 16.9011i −1.65464 0.955308i −0.975127 0.221648i \(-0.928857\pi\)
−0.679516 0.733661i \(-0.737810\pi\)
\(314\) −10.0269 −0.565853
\(315\) 13.6523 + 12.7021i 0.769217 + 0.715682i
\(316\) 13.0284 0.732907
\(317\) 5.82913 + 3.36545i 0.327396 + 0.189022i 0.654685 0.755902i \(-0.272801\pi\)
−0.327288 + 0.944925i \(0.606135\pi\)
\(318\) 0 0
\(319\) −11.7950 20.4296i −0.660394 1.14384i
\(320\) −1.17468 2.03460i −0.0656665 0.113738i
\(321\) −4.74909 6.64513i −0.265068 0.370895i
\(322\) 5.70979 + 7.87036i 0.318194 + 0.438598i
\(323\) 2.01526i 0.112132i
\(324\) 1.21999 8.91693i 0.0677771 0.495385i
\(325\) 0.893431i 0.0495586i
\(326\) −10.3950 6.00158i −0.575728 0.332397i
\(327\) 5.97022 4.26675i 0.330154 0.235952i
\(328\) 6.92317 3.99709i 0.382268 0.220703i
\(329\) 31.0771 3.24447i 1.71334 0.178874i
\(330\) 2.23499 + 22.9912i 0.123032 + 1.26562i
\(331\) 16.0284 27.7621i 0.881002 1.52594i 0.0307744 0.999526i \(-0.490203\pi\)
0.850228 0.526415i \(-0.176464\pi\)
\(332\) −12.5460 −0.688549
\(333\) −8.93579 + 26.1062i −0.489678 + 1.43061i
\(334\) 17.1494i 0.938375i
\(335\) 12.7702 22.1187i 0.697712 1.20847i
\(336\) −3.43149 + 3.03725i −0.187203 + 0.165696i
\(337\) −12.1123 20.9791i −0.659799 1.14280i −0.980668 0.195681i \(-0.937308\pi\)
0.320869 0.947124i \(-0.396025\pi\)
\(338\) 8.69673 5.02106i 0.473040 0.273110i
\(339\) 4.89758 10.7728i 0.266000 0.585100i
\(340\) 2.07781 3.59886i 0.112685 0.195176i
\(341\) 47.5148 2.57307
\(342\) 2.24709 + 2.57547i 0.121509 + 0.139265i
\(343\) −17.6257 + 5.68629i −0.951700 + 0.307031i
\(344\) −3.04933 1.76053i −0.164409 0.0949214i
\(345\) −14.8846 + 1.44694i −0.801357 + 0.0779007i
\(346\) −1.72121 + 0.993738i −0.0925326 + 0.0534237i
\(347\) 19.7453 11.3999i 1.05998 0.611981i 0.134554 0.990906i \(-0.457040\pi\)
0.925427 + 0.378926i \(0.123706\pi\)
\(348\) 4.18509 + 5.85596i 0.224345 + 0.313913i
\(349\) −2.46389 1.42253i −0.131889 0.0761461i 0.432604 0.901584i \(-0.357595\pi\)
−0.564493 + 0.825438i \(0.690928\pi\)
\(350\) 1.25521 + 0.559901i 0.0670936 + 0.0299279i
\(351\) −6.49921 6.13376i −0.346902 0.327396i
\(352\) −5.67667 −0.302568
\(353\) −3.57212 + 6.18709i −0.190125 + 0.329306i −0.945291 0.326227i \(-0.894223\pi\)
0.755167 + 0.655533i \(0.227556\pi\)
\(354\) −2.24548 3.14197i −0.119346 0.166994i
\(355\) −9.19856 + 5.31079i −0.488209 + 0.281868i
\(356\) −0.580529 1.00551i −0.0307680 0.0532917i
\(357\) −7.68747 2.57033i −0.406864 0.136036i
\(358\) −4.15561 + 7.19773i −0.219631 + 0.380412i
\(359\) 11.6037i 0.612421i −0.951964 0.306210i \(-0.900939\pi\)
0.951964 0.306210i \(-0.0990611\pi\)
\(360\) −1.35747 6.91611i −0.0715451 0.364511i
\(361\) 17.7019 0.931682
\(362\) −7.72706 + 13.3837i −0.406125 + 0.703429i
\(363\) 33.4660 + 15.2144i 1.75651 + 0.798550i
\(364\) 0.472486 + 4.52570i 0.0247650 + 0.237211i
\(365\) −10.8695 + 6.27554i −0.568938 + 0.328477i
\(366\) −14.1903 6.45125i −0.741739 0.337212i
\(367\) 6.78525 + 3.91747i 0.354187 + 0.204490i 0.666528 0.745480i \(-0.267780\pi\)
−0.312341 + 0.949970i \(0.601113\pi\)
\(368\) 3.67509i 0.191577i
\(369\) 23.5335 4.61909i 1.22511 0.240460i
\(370\) 21.6088i 1.12339i
\(371\) 0 0
\(372\) −14.4296 + 1.40271i −0.748138 + 0.0727272i
\(373\) −12.8339 22.2289i −0.664512 1.15097i −0.979417 0.201845i \(-0.935306\pi\)
0.314905 0.949123i \(-0.398027\pi\)
\(374\) −5.02053 8.69581i −0.259605 0.449650i
\(375\) 14.8334 10.6010i 0.765994 0.547434i
\(376\) −10.2277 5.90494i −0.527451 0.304524i
\(377\) 7.14702 0.368091
\(378\) −12.6905 + 5.28698i −0.652727 + 0.271933i
\(379\) −15.1045 −0.775868 −0.387934 0.921687i \(-0.626811\pi\)
−0.387934 + 0.921687i \(0.626811\pi\)
\(380\) 2.31806 + 1.33834i 0.118914 + 0.0686551i
\(381\) −9.40856 + 6.72404i −0.482015 + 0.344483i
\(382\) −6.16904 10.6851i −0.315636 0.546697i
\(383\) 0.763322 + 1.32211i 0.0390040 + 0.0675568i 0.884868 0.465841i \(-0.154248\pi\)
−0.845864 + 0.533398i \(0.820915\pi\)
\(384\) 1.72392 0.167584i 0.0879737 0.00855200i
\(385\) 28.5607 20.7202i 1.45559 1.05600i
\(386\) 4.39388i 0.223643i
\(387\) −6.94462 7.95946i −0.353015 0.404602i
\(388\) 4.59035i 0.233039i
\(389\) 12.8948 + 7.44483i 0.653794 + 0.377468i 0.789908 0.613225i \(-0.210128\pi\)
−0.136115 + 0.990693i \(0.543462\pi\)
\(390\) −6.37094 2.89638i −0.322605 0.146664i
\(391\) 5.62969 3.25030i 0.284706 0.164375i
\(392\) 6.65438 + 2.17238i 0.336097 + 0.109722i
\(393\) 11.7832 + 5.35691i 0.594382 + 0.270220i
\(394\) −5.44325 + 9.42799i −0.274227 + 0.474975i
\(395\) 30.6085 1.54008
\(396\) −16.1123 5.51501i −0.809673 0.277139i
\(397\) 28.7869i 1.44478i 0.691488 + 0.722388i \(0.256955\pi\)
−0.691488 + 0.722388i \(0.743045\pi\)
\(398\) 13.7832 23.8733i 0.690892 1.19666i
\(399\) 1.65558 4.95158i 0.0828825 0.247889i
\(400\) −0.259741 0.449885i −0.0129871 0.0224942i
\(401\) −33.0592 + 19.0868i −1.65090 + 0.953147i −0.674196 + 0.738552i \(0.735510\pi\)
−0.976703 + 0.214595i \(0.931157\pi\)
\(402\) 10.9484 + 15.3194i 0.546055 + 0.764064i
\(403\) −7.19773 + 12.4668i −0.358544 + 0.621017i
\(404\) 6.62310 0.329511
\(405\) 2.86619 20.9491i 0.142422 1.04097i
\(406\) 4.47894 10.0411i 0.222286 0.498329i
\(407\) 45.2173 + 26.1062i 2.24134 + 1.29404i
\(408\) 1.78138 + 2.49258i 0.0881913 + 0.123401i
\(409\) 6.03355 3.48347i 0.298340 0.172247i −0.343357 0.939205i \(-0.611564\pi\)
0.641697 + 0.766958i \(0.278231\pi\)
\(410\) 16.2650 9.39060i 0.803271 0.463769i
\(411\) 13.7705 1.33865i 0.679250 0.0660305i
\(412\) −5.07471 2.92989i −0.250013 0.144345i
\(413\) −2.40314 + 5.38745i −0.118251 + 0.265099i
\(414\) 3.57043 10.4311i 0.175477 0.512663i
\(415\) −29.4750 −1.44687
\(416\) 0.859925 1.48943i 0.0421613 0.0730255i
\(417\) 14.8818 32.7344i 0.728766 1.60301i
\(418\) 5.60106 3.23377i 0.273957 0.158169i
\(419\) −17.4232 30.1778i −0.851177 1.47428i −0.880146 0.474702i \(-0.842556\pi\)
0.0289690 0.999580i \(-0.490778\pi\)
\(420\) −8.06179 + 7.13559i −0.393375 + 0.348181i
\(421\) 2.84597 4.92936i 0.138704 0.240242i −0.788302 0.615288i \(-0.789040\pi\)
0.927006 + 0.375046i \(0.122373\pi\)
\(422\) 10.3112i 0.501942i
\(423\) −23.2928 26.6966i −1.13253 1.29803i
\(424\) 0 0
\(425\) 0.459437 0.795769i 0.0222860 0.0386005i
\(426\) −0.757659 7.79396i −0.0367087 0.377619i
\(427\) 2.47244 + 23.6822i 0.119650 + 1.14606i
\(428\) 4.08386 2.35782i 0.197401 0.113969i
\(429\) −13.7578 + 9.83228i −0.664231 + 0.474707i
\(430\) −7.16396 4.13611i −0.345477 0.199461i
\(431\) 30.2936i 1.45919i 0.683880 + 0.729595i \(0.260291\pi\)
−0.683880 + 0.729595i \(0.739709\pi\)
\(432\) 5.05589 + 1.19917i 0.243251 + 0.0576950i
\(433\) 23.6094i 1.13459i 0.823513 + 0.567297i \(0.192011\pi\)
−0.823513 + 0.567297i \(0.807989\pi\)
\(434\) 13.0043 + 17.9251i 0.624226 + 0.860432i
\(435\) 9.83228 + 13.7578i 0.471422 + 0.659634i
\(436\) 2.11835 + 3.66908i 0.101450 + 0.175717i
\(437\) 2.09355 + 3.62614i 0.100148 + 0.173462i
\(438\) −0.895293 9.20979i −0.0427787 0.440061i
\(439\) 21.6681 + 12.5101i 1.03416 + 0.597075i 0.918175 0.396175i \(-0.129663\pi\)
0.115989 + 0.993250i \(0.462996\pi\)
\(440\) −13.3365 −0.635794
\(441\) 16.7768 + 12.6308i 0.798897 + 0.601467i
\(442\) 3.04212 0.144699
\(443\) −19.9446 11.5150i −0.947595 0.547094i −0.0552622 0.998472i \(-0.517599\pi\)
−0.892333 + 0.451377i \(0.850933\pi\)
\(444\) −14.5026 6.59321i −0.688261 0.312900i
\(445\) −1.36387 2.36229i −0.0646537 0.111983i
\(446\) 3.60456 + 6.24329i 0.170681 + 0.295628i
\(447\) −0.858568 + 1.88853i −0.0406089 + 0.0893242i
\(448\) −1.55364 2.14154i −0.0734028 0.101178i
\(449\) 15.9028i 0.750501i −0.926923 0.375251i \(-0.877557\pi\)
0.926923 0.375251i \(-0.122443\pi\)
\(450\) −0.300160 1.52927i −0.0141497 0.0720904i
\(451\) 45.3804i 2.13688i
\(452\) 5.91693 + 3.41614i 0.278309 + 0.160682i
\(453\) 2.55140 + 26.2460i 0.119875 + 1.23315i
\(454\) −11.0470 + 6.37800i −0.518462 + 0.299334i
\(455\) 1.11004 + 10.6325i 0.0520394 + 0.498458i
\(456\) −1.60550 + 1.14740i −0.0751842 + 0.0537321i
\(457\) 2.83307 4.90702i 0.132525 0.229541i −0.792124 0.610360i \(-0.791025\pi\)
0.924649 + 0.380819i \(0.124358\pi\)
\(458\) −4.49418 −0.209999
\(459\) 2.63455 + 8.80542i 0.122970 + 0.411002i
\(460\) 8.63411i 0.402567i
\(461\) −15.7292 + 27.2438i −0.732582 + 1.26887i 0.223194 + 0.974774i \(0.428352\pi\)
−0.955776 + 0.294095i \(0.904982\pi\)
\(462\) 5.19186 + 25.4904i 0.241547 + 1.18592i
\(463\) 4.55148 + 7.88340i 0.211525 + 0.366373i 0.952192 0.305500i \(-0.0988236\pi\)
−0.740667 + 0.671873i \(0.765490\pi\)
\(464\) −3.59886 + 2.07781i −0.167073 + 0.0964597i
\(465\) −33.9002 + 3.29547i −1.57209 + 0.152824i
\(466\) −1.07702 + 1.86545i −0.0498918 + 0.0864152i
\(467\) −30.3032 −1.40226 −0.701132 0.713032i \(-0.747322\pi\)
−0.701132 + 0.713032i \(0.747322\pi\)
\(468\) 3.88777 3.39208i 0.179712 0.156799i
\(469\) 11.7171 26.2678i 0.541045 1.21293i
\(470\) −24.0284 13.8728i −1.10835 0.639906i
\(471\) 7.18761 15.8100i 0.331188 0.728487i
\(472\) 1.93094 1.11483i 0.0888788 0.0513142i
\(473\) −17.3100 + 9.99395i −0.795916 + 0.459522i
\(474\) −9.33917 + 20.5426i −0.428962 + 0.943555i
\(475\) 0.512563 + 0.295928i 0.0235180 + 0.0135781i
\(476\) 1.90645 4.27396i 0.0873821 0.195897i
\(477\) 0 0
\(478\) 10.1419 0.463881
\(479\) −2.33143 + 4.03816i −0.106526 + 0.184508i −0.914361 0.404901i \(-0.867306\pi\)
0.807835 + 0.589409i \(0.200639\pi\)
\(480\) 4.05012 0.393716i 0.184862 0.0179706i
\(481\) −13.6994 + 7.90935i −0.624639 + 0.360636i
\(482\) −5.27404 9.13490i −0.240226 0.416083i
\(483\) −16.5026 + 3.36122i −0.750893 + 0.152941i
\(484\) −10.6123 + 18.3810i −0.482377 + 0.835501i
\(485\) 10.7844i 0.489693i
\(486\) 13.1853 + 8.31554i 0.598097 + 0.377201i
\(487\) −19.4821 −0.882818 −0.441409 0.897306i \(-0.645521\pi\)
−0.441409 + 0.897306i \(0.645521\pi\)
\(488\) 4.49985 7.79396i 0.203699 0.352816i
\(489\) 16.9145 12.0883i 0.764900 0.546652i
\(490\) 15.6335 + 5.10370i 0.706250 + 0.230562i
\(491\) −17.7437 + 10.2443i −0.800762 + 0.462320i −0.843737 0.536756i \(-0.819649\pi\)
0.0429758 + 0.999076i \(0.486316\pi\)
\(492\) 1.33970 + 13.7814i 0.0603984 + 0.621312i
\(493\) −6.36577 3.67528i −0.286700 0.165526i
\(494\) 1.95946i 0.0881602i
\(495\) −37.8535 12.9567i −1.70139 0.582361i
\(496\) 8.37019i 0.375832i
\(497\) −9.68203 + 7.02412i −0.434298 + 0.315075i
\(498\) 8.99332 19.7819i 0.403000 0.886449i
\(499\) 5.12598 + 8.87845i 0.229470 + 0.397454i 0.957651 0.287931i \(-0.0929673\pi\)
−0.728181 + 0.685385i \(0.759634\pi\)
\(500\) 5.26317 + 9.11608i 0.235376 + 0.407683i
\(501\) 27.0405 + 12.2932i 1.20808 + 0.549221i
\(502\) 25.3749 + 14.6502i 1.13254 + 0.653872i
\(503\) −14.5521 −0.648845 −0.324422 0.945912i \(-0.605170\pi\)
−0.324422 + 0.945912i \(0.605170\pi\)
\(504\) −2.32921 7.58780i −0.103751 0.337988i
\(505\) 15.5600 0.692412
\(506\) −18.0673 10.4311i −0.803188 0.463721i
\(507\) 1.68290 + 17.3119i 0.0747403 + 0.768846i
\(508\) −3.33834 5.78217i −0.148115 0.256542i
\(509\) −16.6617 28.8589i −0.738517 1.27915i −0.953163 0.302457i \(-0.902193\pi\)
0.214646 0.976692i \(-0.431140\pi\)
\(510\) 4.18509 + 5.85596i 0.185319 + 0.259306i
\(511\) −11.4408 + 8.30010i −0.506113 + 0.367175i
\(512\) 1.00000i 0.0441942i
\(513\) −5.67166 + 1.69694i −0.250410 + 0.0749218i
\(514\) 7.62860i 0.336483i
\(515\) −11.9223 6.88335i −0.525360 0.303317i
\(516\) 4.96177 3.54604i 0.218430 0.156106i
\(517\) −58.0591 + 33.5204i −2.55343 + 1.47423i
\(518\) 2.52685 + 24.2034i 0.111023 + 1.06343i
\(519\) −0.333070 3.42626i −0.0146202 0.150396i
\(520\) 2.02027 3.49921i 0.0885947 0.153451i
\(521\) −6.53925 −0.286490 −0.143245 0.989687i \(-0.545754\pi\)
−0.143245 + 0.989687i \(0.545754\pi\)
\(522\) −12.2334 + 2.40114i −0.535442 + 0.105095i
\(523\) 0.786858i 0.0344069i −0.999852 0.0172034i \(-0.994524\pi\)
0.999852 0.0172034i \(-0.00547630\pi\)
\(524\) −3.73653 + 6.47185i −0.163231 + 0.282724i
\(525\) −1.78260 + 1.57780i −0.0777988 + 0.0688608i
\(526\) 6.09281 + 10.5531i 0.265659 + 0.460135i
\(527\) 12.8219 7.40271i 0.558530 0.322467i
\(528\) 4.06921 8.95072i 0.177090 0.389530i
\(529\) −4.74685 + 8.22178i −0.206385 + 0.357469i
\(530\) 0 0
\(531\) 6.56374 1.28831i 0.284842 0.0559079i
\(532\) 2.75290 + 1.22797i 0.119353 + 0.0532391i
\(533\) 11.9068 + 6.87440i 0.515741 + 0.297763i
\(534\) 2.00158 0.194575i 0.0866167 0.00842009i
\(535\) 9.59445 5.53936i 0.414804 0.239487i
\(536\) −9.41477 + 5.43562i −0.406656 + 0.234783i
\(537\) −8.37019 11.7119i −0.361200 0.505407i
\(538\) −2.40264 1.38717i −0.103585 0.0598050i
\(539\) 29.5671 26.5479i 1.27354 1.14350i
\(540\) 11.8781 + 2.81728i 0.511152 + 0.121236i
\(541\) 5.60454 0.240958 0.120479 0.992716i \(-0.461557\pi\)
0.120479 + 0.992716i \(0.461557\pi\)
\(542\) −1.60396 + 2.77815i −0.0688961 + 0.119332i
\(543\) −15.5638 21.7775i −0.667905 0.934561i
\(544\) −1.53185 + 0.884414i −0.0656775 + 0.0379189i
\(545\) 4.97675 + 8.61999i 0.213181 + 0.369240i
\(546\) −7.47460 2.49916i −0.319884 0.106954i
\(547\) −6.91456 + 11.9764i −0.295645 + 0.512073i −0.975135 0.221612i \(-0.928868\pi\)
0.679489 + 0.733685i \(0.262201\pi\)
\(548\) 7.98789i 0.341226i
\(549\) 20.3441 17.7502i 0.868264 0.757559i
\(550\) −2.94893 −0.125743
\(551\) 2.36729 4.10026i 0.100850 0.174677i
\(552\) 5.79472 + 2.63442i 0.246640 + 0.112128i
\(553\) 34.2837 3.57924i 1.45789 0.152205i
\(554\) 8.73047 5.04054i 0.370922 0.214152i
\(555\) −34.0717 15.4898i −1.44626 0.657506i
\(556\) 17.9792 + 10.3803i 0.762488 + 0.440223i
\(557\) 27.8233i 1.17891i −0.807800 0.589456i \(-0.799342\pi\)
0.807800 0.589456i \(-0.200658\pi\)
\(558\) 8.13181 23.7574i 0.344247 1.00573i
\(559\) 6.05569i 0.256128i
\(560\) −3.65007 5.03124i −0.154243 0.212609i
\(561\) 17.3100 1.68272i 0.730830 0.0710447i
\(562\) −2.43641 4.21999i −0.102774 0.178009i
\(563\) 12.2650 + 21.2436i 0.516909 + 0.895312i 0.999807 + 0.0196359i \(0.00625069\pi\)
−0.482898 + 0.875676i \(0.660416\pi\)
\(564\) 16.6421 11.8937i 0.700760 0.500814i
\(565\) 13.9010 + 8.02574i 0.584819 + 0.337645i
\(566\) 2.81781 0.118441
\(567\) 0.760631 23.7996i 0.0319435 0.999490i
\(568\) 4.52106 0.189699
\(569\) −23.4762 13.5540i −0.984172 0.568212i −0.0806449 0.996743i \(-0.525698\pi\)
−0.903527 + 0.428531i \(0.859031\pi\)
\(570\) −3.77188 + 2.69566i −0.157987 + 0.112909i
\(571\) 14.9177 + 25.8382i 0.624287 + 1.08130i 0.988678 + 0.150051i \(0.0479438\pi\)
−0.364391 + 0.931246i \(0.618723\pi\)
\(572\) −4.88151 8.45502i −0.204106 0.353522i
\(573\) 21.2699 2.06767i 0.888563 0.0863781i
\(574\) 17.1199 12.4201i 0.714570 0.518406i
\(575\) 1.90915i 0.0796169i
\(576\) −0.971521 + 2.83834i −0.0404800 + 0.118264i
\(577\) 28.1666i 1.17259i −0.810097 0.586296i \(-0.800585\pi\)
0.810097 0.586296i \(-0.199415\pi\)
\(578\) 12.0129 + 6.93562i 0.499669 + 0.288484i
\(579\) −6.92807 3.14967i −0.287921 0.130896i
\(580\) −8.45502 + 4.88151i −0.351076 + 0.202694i
\(581\) −33.0141 + 3.44670i −1.36965 + 0.142993i
\(582\) 7.23785 + 3.29050i 0.300018 + 0.136395i
\(583\) 0 0
\(584\) 5.34234 0.221068
\(585\) 9.13376 7.96920i 0.377635 0.329486i
\(586\) 8.11389i 0.335182i
\(587\) 4.95928 8.58973i 0.204692 0.354536i −0.745343 0.666681i \(-0.767714\pi\)
0.950034 + 0.312145i \(0.101048\pi\)
\(588\) −8.19537 + 8.93509i −0.337971 + 0.368477i
\(589\) 4.76816 + 8.25870i 0.196469 + 0.340294i
\(590\) 4.53648 2.61914i 0.186764 0.107828i
\(591\) −10.9637 15.3409i −0.450988 0.631042i
\(592\) 4.59886 7.96547i 0.189012 0.327379i
\(593\) −4.69872 −0.192953 −0.0964766 0.995335i \(-0.530757\pi\)
−0.0964766 + 0.995335i \(0.530757\pi\)
\(594\) 20.2456 21.4518i 0.830686 0.880178i
\(595\) 4.47894 10.0411i 0.183619 0.411643i
\(596\) −1.03726 0.598865i −0.0424880 0.0245305i
\(597\) 27.7621 + 38.8459i 1.13623 + 1.58986i
\(598\) 5.47381 3.16030i 0.223841 0.129234i
\(599\) 12.7309 7.35019i 0.520170 0.300320i −0.216834 0.976208i \(-0.569573\pi\)
0.737004 + 0.675888i \(0.236240\pi\)
\(600\) 0.895548 0.0870571i 0.0365606 0.00355409i
\(601\) 16.2923 + 9.40634i 0.664575 + 0.383693i 0.794018 0.607894i \(-0.207986\pi\)
−0.129443 + 0.991587i \(0.541319\pi\)
\(602\) −8.50781 3.79502i −0.346752 0.154673i
\(603\) −32.0031 + 6.28147i −1.30327 + 0.255801i
\(604\) −15.2246 −0.619480
\(605\) −24.9321 + 43.1836i −1.01363 + 1.75566i
\(606\) −4.74763 + 10.4430i −0.192859 + 0.424218i
\(607\) 10.9051 6.29608i 0.442625 0.255550i −0.262085 0.965045i \(-0.584410\pi\)
0.704711 + 0.709495i \(0.251077\pi\)
\(608\) −0.569660 0.986680i −0.0231028 0.0400152i
\(609\) 12.6216 + 14.2599i 0.511455 + 0.577841i
\(610\) 10.5718 18.3108i 0.428038 0.741383i
\(611\) 20.3112i 0.821704i
\(612\) −5.20713 + 1.02204i −0.210486 + 0.0413135i
\(613\) −9.82017 −0.396633 −0.198317 0.980138i \(-0.563547\pi\)
−0.198317 + 0.980138i \(0.563547\pi\)
\(614\) 5.44981 9.43935i 0.219937 0.380941i
\(615\) 3.14744 + 32.3774i 0.126917 + 1.30558i
\(616\) −14.9379 + 1.55953i −0.601864 + 0.0628351i
\(617\) −3.25158 + 1.87730i −0.130904 + 0.0755772i −0.564022 0.825760i \(-0.690747\pi\)
0.433118 + 0.901337i \(0.357413\pi\)
\(618\) 8.25742 5.90135i 0.332162 0.237387i
\(619\) 9.56902 + 5.52468i 0.384611 + 0.222055i 0.679823 0.733376i \(-0.262057\pi\)
−0.295211 + 0.955432i \(0.595390\pi\)
\(620\) 19.6646i 0.789748i
\(621\) 13.8880 + 13.1071i 0.557305 + 0.525968i
\(622\) 8.23637i 0.330248i
\(623\) −1.80387 2.48645i −0.0722706 0.0996176i
\(624\) 1.73205 + 2.42356i 0.0693375 + 0.0970201i
\(625\) 13.6638 + 23.6664i 0.546551 + 0.946654i
\(626\) 16.9011 + 29.2736i 0.675505 + 1.17001i
\(627\) 1.08386 + 11.1496i 0.0432852 + 0.445270i
\(628\) 8.68358 + 5.01347i 0.346513 + 0.200059i
\(629\) 16.2692 0.648696
\(630\) −5.47215 17.8265i −0.218016 0.710223i
\(631\) 19.4921 0.775969 0.387984 0.921666i \(-0.373171\pi\)
0.387984 + 0.921666i \(0.373171\pi\)
\(632\) −11.2830 6.51422i −0.448812 0.259122i
\(633\) 16.2583 + 7.39139i 0.646208 + 0.293781i
\(634\) −3.36545 5.82913i −0.133659 0.231504i
\(635\) −7.84294 13.5844i −0.311238 0.539080i
\(636\) 0 0
\(637\) 2.48665 + 11.7793i 0.0985245 + 0.466714i
\(638\) 23.5900i 0.933938i
\(639\) 12.8323 + 4.39230i 0.507637 + 0.173757i
\(640\) 2.34936i 0.0928665i
\(641\) −22.6669 13.0868i −0.895290 0.516896i −0.0196208 0.999807i \(-0.506246\pi\)
−0.875669 + 0.482912i \(0.839579\pi\)
\(642\) 0.790267 + 8.12940i 0.0311893 + 0.320842i
\(643\) 9.50955 5.49034i 0.375020 0.216518i −0.300629 0.953741i \(-0.597197\pi\)
0.675649 + 0.737223i \(0.263863\pi\)
\(644\) −1.00964 9.67082i −0.0397854 0.381084i
\(645\) 11.6570 8.33092i 0.458993 0.328029i
\(646\) 1.00763 1.74527i 0.0396447 0.0686666i
\(647\) 32.0126 1.25855 0.629273 0.777185i \(-0.283353\pi\)
0.629273 + 0.777185i \(0.283353\pi\)
\(648\) −5.51501 + 7.11229i −0.216650 + 0.279397i
\(649\) 12.6570i 0.496833i
\(650\) 0.446715 0.773734i 0.0175216 0.0303483i
\(651\) −37.5853 + 7.65534i −1.47308 + 0.300036i
\(652\) 6.00158 + 10.3950i 0.235040 + 0.407101i
\(653\) 19.3686 11.1825i 0.757952 0.437604i −0.0706080 0.997504i \(-0.522494\pi\)
0.828560 + 0.559900i \(0.189161\pi\)
\(654\) −7.30374 + 0.710004i −0.285599 + 0.0277633i
\(655\) −8.77843 + 15.2047i −0.343002 + 0.594097i
\(656\) −7.99419 −0.312121
\(657\) 15.1634 + 5.19020i 0.591579 + 0.202489i
\(658\) −28.5358 12.7288i −1.11244 0.496219i
\(659\) −19.2546 11.1166i −0.750053 0.433043i 0.0756603 0.997134i \(-0.475894\pi\)
−0.825713 + 0.564091i \(0.809227\pi\)
\(660\) 9.56002 21.0284i 0.372123 0.818531i
\(661\) −9.13646 + 5.27494i −0.355367 + 0.205171i −0.667047 0.745016i \(-0.732442\pi\)
0.311679 + 0.950187i \(0.399108\pi\)
\(662\) −27.7621 + 16.0284i −1.07900 + 0.622963i
\(663\) −2.18068 + 4.79667i −0.0846907 + 0.186287i
\(664\) 10.8651 + 6.27298i 0.421649 + 0.243439i
\(665\) 6.46754 + 2.88493i 0.250801 + 0.111873i
\(666\) 20.7917 18.1408i 0.805664 0.702941i
\(667\) −15.2723 −0.591344
\(668\) −8.57472 + 14.8518i −0.331766 + 0.574635i
\(669\) −12.4280 + 1.20814i −0.480494 + 0.0467093i
\(670\) −22.1187 + 12.7702i −0.854519 + 0.493357i
\(671\) −25.5442 44.2438i −0.986121 1.70801i
\(672\) 4.49038 0.914596i 0.173220 0.0352813i
\(673\) 9.93562 17.2090i 0.382990 0.663358i −0.608498 0.793555i \(-0.708228\pi\)
0.991488 + 0.130197i \(0.0415610\pi\)
\(674\) 24.2246i 0.933096i
\(675\) 2.62644 + 0.622947i 0.101092 + 0.0239772i
\(676\) −10.0421 −0.386235
\(677\) −7.96449 + 13.7949i −0.306100 + 0.530181i −0.977506 0.210909i \(-0.932358\pi\)
0.671405 + 0.741090i \(0.265691\pi\)
\(678\) −9.62785 + 6.88075i −0.369755 + 0.264254i
\(679\) −1.26108 12.0793i −0.0483960 0.463560i
\(680\) −3.59886 + 2.07781i −0.138010 + 0.0796802i
\(681\) −2.13771 21.9904i −0.0819171 0.842673i
\(682\) −41.1490 23.7574i −1.57568 0.909718i
\(683\) 19.0269i 0.728042i 0.931391 + 0.364021i \(0.118596\pi\)
−0.931391 + 0.364021i \(0.881404\pi\)
\(684\) −0.658305 3.35397i −0.0251709 0.128242i
\(685\) 18.7664i 0.717028i
\(686\) 18.1075 + 3.88839i 0.691346 + 0.148459i
\(687\) 3.22157 7.08623i 0.122910 0.270356i
\(688\) 1.76053 + 3.04933i 0.0671196 + 0.116254i
\(689\) 0 0
\(690\) 13.6139 + 6.18919i 0.518271 + 0.235618i
\(691\) 0.139477 + 0.0805273i 0.00530597 + 0.00306340i 0.502651 0.864490i \(-0.332358\pi\)
−0.497345 + 0.867553i \(0.665692\pi\)
\(692\) 1.98748 0.0755525
\(693\) −43.9138 10.0860i −1.66815 0.383136i
\(694\) −22.7999 −0.865471
\(695\) 42.2396 + 24.3870i 1.60224 + 0.925053i
\(696\) −0.696415 7.16396i −0.0263976 0.271549i
\(697\) −7.07017 12.2459i −0.267802 0.463847i
\(698\) 1.42253 + 2.46389i 0.0538434 + 0.0932595i
\(699\) −2.16932 3.03540i −0.0820511 0.114809i
\(700\) −0.807090 1.11249i −0.0305051 0.0420482i
\(701\) 9.98234i 0.377028i −0.982071 0.188514i \(-0.939633\pi\)
0.982071 0.188514i \(-0.0603670\pi\)
\(702\) 2.56160 + 8.56160i 0.0966814 + 0.323137i
\(703\) 10.4792i 0.395229i
\(704\) 4.91614 + 2.83834i 0.185284 + 0.106974i
\(705\) 39.0983 27.9425i 1.47253 1.05237i
\(706\) 6.18709 3.57212i 0.232854 0.134438i
\(707\) 17.4283 1.81953i 0.655460 0.0684306i
\(708\) 0.373656 + 3.84377i 0.0140429 + 0.144458i
\(709\) 12.1962 21.1244i 0.458036 0.793342i −0.540821 0.841138i \(-0.681886\pi\)
0.998857 + 0.0477959i \(0.0152197\pi\)
\(710\) 10.6216 0.398621
\(711\) −25.6961 29.4512i −0.963679 1.10450i
\(712\) 1.16106i 0.0435125i
\(713\) 15.3806 26.6400i 0.576008 0.997676i
\(714\) 5.37238 + 6.06971i 0.201056 + 0.227153i
\(715\) −11.4684 19.8639i −0.428894 0.742867i
\(716\) 7.19773 4.15561i 0.268992 0.155302i
\(717\) −7.27004 + 15.9913i −0.271504 + 0.597207i
\(718\) −5.80186 + 10.0491i −0.216523 + 0.375030i
\(719\) −16.2692 −0.606739 −0.303370 0.952873i \(-0.598112\pi\)
−0.303370 + 0.952873i \(0.598112\pi\)
\(720\) −2.28245 + 6.66826i −0.0850619 + 0.248512i
\(721\) −14.1588 6.31570i −0.527300 0.235209i
\(722\) −15.3303 8.85097i −0.570536 0.329399i
\(723\) 18.1841 1.76769i 0.676274 0.0657412i
\(724\) 13.3837 7.72706i 0.497400 0.287174i
\(725\) −1.86955 + 1.07938i −0.0694332 + 0.0400873i
\(726\) −21.3752 29.9091i −0.793307 1.11003i
\(727\) 20.6626 + 11.9296i 0.766335 + 0.442444i 0.831566 0.555427i \(-0.187445\pi\)
−0.0652306 + 0.997870i \(0.520778\pi\)
\(728\) 1.85366 4.15561i 0.0687013 0.154017i
\(729\) −22.5632 + 14.8291i −0.835673 + 0.549227i
\(730\) 12.5511 0.464536
\(731\) −3.11408 + 5.39374i −0.115178 + 0.199495i
\(732\) 9.06354 + 12.6821i 0.334998 + 0.468744i
\(733\) 10.6259 6.13486i 0.392476 0.226596i −0.290756 0.956797i \(-0.593907\pi\)
0.683233 + 0.730201i \(0.260574\pi\)
\(734\) −3.91747 6.78525i −0.144596 0.250448i
\(735\) −19.2539 + 20.9917i −0.710189 + 0.774292i
\(736\) −1.83755 + 3.18272i −0.0677329 + 0.117317i
\(737\) 61.7125i 2.27321i
\(738\) −22.6902 7.76652i −0.835237 0.285890i
\(739\) 41.8891 1.54092 0.770459 0.637490i \(-0.220027\pi\)
0.770459 + 0.637490i \(0.220027\pi\)
\(740\) 10.8044 18.7137i 0.397177 0.687931i
\(741\) −3.08959 1.40460i −0.113499 0.0515992i
\(742\) 0 0
\(743\) 43.9160 25.3549i 1.61112 0.930182i 0.622011 0.783008i \(-0.286316\pi\)
0.989111 0.147173i \(-0.0470176\pi\)
\(744\) 13.1977 + 6.00000i 0.483852 + 0.219971i
\(745\) −2.43690 1.40695i −0.0892813 0.0515466i
\(746\) 25.6677i 0.939762i
\(747\) 24.7445 + 28.3605i 0.905355 + 1.03766i
\(748\) 10.0411i 0.367137i
\(749\) 10.0987 7.32642i 0.368999 0.267701i
\(750\) −18.1466 + 1.76405i −0.662621 + 0.0644140i
\(751\) 16.3683 + 28.3508i 0.597289 + 1.03454i 0.993219 + 0.116255i \(0.0370890\pi\)
−0.395930 + 0.918281i \(0.629578\pi\)
\(752\) 5.90494 + 10.2277i 0.215331 + 0.372964i
\(753\) −41.2893 + 29.5083i −1.50467 + 1.07534i
\(754\) −6.18951 3.57351i −0.225408 0.130140i
\(755\) −35.7680 −1.30173
\(756\) 13.6338 + 1.76657i 0.495855 + 0.0642496i
\(757\) −17.9255 −0.651512 −0.325756 0.945454i \(-0.605619\pi\)
−0.325756 + 0.945454i \(0.605619\pi\)
\(758\) 13.0809 + 7.55227i 0.475120 + 0.274311i
\(759\) 29.3985 21.0103i 1.06710 0.762626i
\(760\) −1.33834 2.31806i −0.0485465 0.0840850i
\(761\) 21.8509 + 37.8469i 0.792096 + 1.37195i 0.924667 + 0.380777i \(0.124343\pi\)
−0.132571 + 0.991174i \(0.542323\pi\)
\(762\) 11.5101 1.11891i 0.416966 0.0405337i
\(763\) 6.58231 + 9.07305i 0.238296 + 0.328466i
\(764\) 12.3381i 0.446376i
\(765\) −12.2334 + 2.40114i −0.442300 + 0.0868132i
\(766\) 1.52664i 0.0551599i
\(767\) 3.32093 + 1.91734i 0.119912 + 0.0692311i
\(768\) −1.57675 0.716830i −0.0568962 0.0258664i
\(769\) −37.0864 + 21.4118i −1.33737 + 0.772131i −0.986417 0.164262i \(-0.947476\pi\)
−0.350953 + 0.936393i \(0.614142\pi\)
\(770\) −35.0944 + 3.66388i −1.26471 + 0.132037i
\(771\) −12.0284 5.46841i −0.433193 0.196940i
\(772\) 2.19694 3.80521i 0.0790696 0.136953i
\(773\) −21.6051 −0.777080 −0.388540 0.921432i \(-0.627020\pi\)
−0.388540 + 0.921432i \(0.627020\pi\)
\(774\) 2.03449 + 10.3654i 0.0731281 + 0.372577i