Properties

Label 126.2.m.a.41.3
Level $126$
Weight $2$
Character 126.41
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 41.3
Root \(-1.40917 - 1.00709i\) of defining polynomial
Character \(\chi\) \(=\) 126.41
Dual form 126.2.m.a.83.3

$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 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 −0.474232 0.880400i \(-0.657274\pi\)
0.999565 0.0295026i \(-0.00939234\pi\)
\(6\) −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 −0.999798 0.0201197i \(-0.993595\pi\)
−0.482475 + 0.875910i \(0.660262\pi\)
\(12\) 1.57675 0.716830i 0.455170 0.206931i
\(13\) 1.48943 + 0.859925i 0.413094 + 0.238500i 0.692118 0.721784i \(-0.256678\pi\)
−0.279024 + 0.960284i \(0.590011\pi\)
\(14\) −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 \(0.0417189\pi\)
−0.991423 + 0.130689i \(0.958281\pi\)
\(20\) −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 0.130020 0.991511i \(-0.458496\pi\)
−0.793664 + 0.608356i \(0.791829\pi\)
\(24\) −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 −0.127137 0.991885i \(-0.540579\pi\)
0.795429 + 0.606046i \(0.207245\pi\)
\(30\) −2.36603 + 3.31064i −0.431975 + 0.604438i
\(31\) −7.24879 4.18509i −1.30192 0.751665i −0.321188 0.947015i \(-0.604082\pi\)
−0.980734 + 0.195350i \(0.937416\pi\)
\(32\) 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 −0.364446 0.931225i \(-0.618742\pi\)
0.988687 0.149993i \(-0.0479251\pi\)
\(42\) −3.03725 + 3.43149i −0.468658 + 0.529490i
\(43\) 1.76053 + 3.04933i 0.268478 + 0.465018i 0.968469 0.249134i \(-0.0801459\pi\)
−0.699991 + 0.714152i \(0.746813\pi\)
\(44\) 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 0.870651 + 0.491901i \(0.163698\pi\)
−0.00932669 + 0.999957i \(0.502969\pi\)
\(48\) 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 −0.784286 0.620399i \(-0.786971\pi\)
0.929425 + 0.369012i \(0.120304\pi\)
\(60\) 0.393716 4.05012i 0.0508285 0.522868i
\(61\) 7.79396 4.49985i 0.997915 0.576146i 0.0902842 0.995916i \(-0.471222\pi\)
0.907631 + 0.419770i \(0.137889\pi\)
\(62\) 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 0.315470 + 0.948935i \(0.397838\pi\)
−0.979537 + 0.201262i \(0.935496\pi\)
\(68\) −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 \(-0.913546\pi\)
0.963342 0.268276i \(-0.0864538\pi\)
\(72\) −2.83834 + 0.971521i −0.334501 + 0.114495i
\(73\) 5.34234i 0.625274i −0.949873 0.312637i \(-0.898788\pi\)
0.949873 0.312637i \(-0.101212\pi\)
\(74\) 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 0.955636 + 0.294551i \(0.0951701\pi\)
−0.222729 + 0.974880i \(0.571497\pi\)
\(80\) −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 −0.972307 0.233707i \(-0.924915\pi\)
0.283758 0.958896i \(-0.408419\pi\)
\(84\) 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 −0.688052 0.725662i \(-0.741534\pi\)
0.284416 + 0.958701i \(0.408200\pi\)
\(98\) 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 0.982415 0.186711i \(-0.0597827\pi\)
−0.652904 + 0.757441i \(0.726449\pi\)
\(102\) 3.04933 + 0.296428i 0.301928 + 0.0293507i
\(103\) −5.07471 2.92989i −0.500026 0.288690i 0.228698 0.973497i \(-0.426553\pi\)
−0.728724 + 0.684807i \(0.759886\pi\)
\(104\) −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 \(0.0731986\pi\)
−0.973675 + 0.227939i \(0.926801\pi\)
\(108\) 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 0.751787 0.659406i \(-0.229192\pi\)
−0.195169 + 0.980770i \(0.562526\pi\)
\(114\) 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 −0.655345 0.755329i \(-0.727477\pi\)
0.981807 + 0.189881i \(0.0608102\pi\)
\(132\) −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 −0.174480 0.984661i \(-0.555825\pi\)
0.765501 + 0.643435i \(0.222491\pi\)
\(138\) 5.17883 + 3.70117i 0.440851 + 0.315064i
\(139\) 17.9792 + 10.3803i 1.52498 + 0.880446i 0.999562 + 0.0295993i \(0.00942312\pi\)
0.525415 + 0.850846i \(0.323910\pi\)
\(140\) −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 0.456910 0.889513i \(-0.348956\pi\)
−0.541886 + 0.840452i \(0.682290\pi\)
\(150\) 0.372380 + 0.819096i 0.0304047 + 0.0668789i
\(151\) −7.61229 13.1849i −0.619480 1.07297i −0.989581 0.143979i \(-0.954010\pi\)
0.370101 0.928991i \(-0.379323\pi\)
\(152\) −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 0.804744 0.593621i \(-0.202302\pi\)
−0.111719 + 0.993740i \(0.535636\pi\)
\(158\) −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 −0.316150 0.948709i \(-0.602390\pi\)
0.979681 0.200561i \(-0.0642765\pi\)
\(168\) 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 0.901326 0.433140i \(-0.142595\pi\)
−0.825774 + 0.564001i \(0.809261\pi\)
\(174\) −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 \(0.100532\pi\)
−0.950539 + 0.310605i \(0.899468\pi\)
\(180\) 4.63366 5.31079i 0.345373 0.395843i
\(181\) 15.4541i 1.14870i 0.818611 + 0.574348i \(0.194744\pi\)
−0.818611 + 0.574348i \(0.805256\pi\)
\(182\) −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 −0.0608498 0.998147i \(-0.519381\pi\)
0.833996 + 0.551771i \(0.186048\pi\)
\(192\) −1.40917 1.00709i −0.101698 0.0726808i
\(193\) −2.19694 + 3.80521i −0.158139 + 0.273905i −0.934198 0.356756i \(-0.883883\pi\)
0.776058 + 0.630661i \(0.217216\pi\)
\(194\) 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 \(0.126770\pi\)
−0.921737 + 0.387816i \(0.873230\pi\)
\(198\) 16.7112 + 3.28001i 1.18761 + 0.233100i
\(199\) 27.5665i 1.95414i −0.212926 0.977068i \(-0.568299\pi\)
0.212926 0.977068i \(-0.431701\pi\)
\(200\) 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 −0.632179 0.774823i \(-0.717839\pi\)
0.987105 + 0.160071i \(0.0511724\pi\)
\(212\) 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 −0.694256 0.719728i \(-0.744267\pi\)
0.276175 + 0.961107i \(0.410933\pi\)
\(224\) 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 0.996262 0.0863812i \(-0.0275303\pi\)
−0.572939 + 0.819598i \(0.694197\pi\)
\(228\) 0.816699 + 1.79643i 0.0540872 + 0.118971i
\(229\) 3.89208 + 2.24709i 0.257196 + 0.148492i 0.623055 0.782178i \(-0.285891\pi\)
−0.365859 + 0.930670i \(0.619225\pi\)
\(230\) 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 \(0.0224779\pi\)
−0.997508 + 0.0705577i \(0.977522\pi\)
\(234\) −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 0.188269 0.982118i \(-0.439712\pi\)
−0.756404 + 0.654104i \(0.773046\pi\)
\(240\) −3.31064 2.36603i −0.213701 0.152726i
\(241\) 9.13490 5.27404i 0.588431 0.339731i −0.176046 0.984382i \(-0.556331\pi\)
0.764477 + 0.644651i \(0.222997\pi\)
\(242\) 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 −0.960120 0.279588i \(-0.909802\pi\)
0.722190 + 0.691694i \(0.243135\pi\)
\(258\) −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 −0.788736 0.614733i \(-0.789264\pi\)
0.138006 + 0.990431i \(0.455931\pi\)
\(264\) 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 \(0.0310634\pi\)
−0.995242 + 0.0974338i \(0.968937\pi\)
\(272\) 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 0.673925 0.738800i \(-0.264607\pi\)
−0.976782 + 0.214236i \(0.931274\pi\)
\(278\) −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 −0.368819 0.929501i \(-0.620238\pi\)
0.620562 + 0.784157i \(0.286904\pi\)
\(282\) −8.46568 18.6213i −0.504124 1.10888i
\(283\) −2.44030 1.40891i −0.145061 0.0837508i 0.425713 0.904858i \(-0.360023\pi\)
−0.570774 + 0.821107i \(0.693357\pi\)
\(284\) −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 −0.959855 0.280498i \(-0.909500\pi\)
0.722846 + 0.691010i \(0.242834\pi\)
\(294\) 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 \(-0.899324\pi\)
0.950398 0.311037i \(-0.100676\pi\)
\(308\) 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 −0.725321 0.688411i \(-0.758309\pi\)
0.958842 + 0.283941i \(0.0916419\pi\)
\(312\) −2.71178 + 1.23284i −0.153524 + 0.0697958i
\(313\) −29.2736 + 16.9011i −1.65464 + 0.955308i −0.679516 + 0.733661i \(0.737810\pi\)
−0.975127 + 0.221648i \(0.928857\pi\)
\(314\) −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 −0.327288 0.944925i \(-0.606135\pi\)
0.654685 + 0.755902i \(0.272801\pi\)
\(318\) 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 0.850228 + 0.526415i \(0.176464\pi\)
0.0307744 + 0.999526i \(0.490203\pi\)
\(332\) −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 0.320869 + 0.947124i \(0.396025\pi\)
−0.980668 + 0.195681i \(0.937308\pi\)
\(338\) 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 0.925427 0.378926i \(-0.123706\pi\)
0.134554 + 0.990906i \(0.457040\pi\)
\(348\) 4.18509 5.85596i 0.224345 0.313913i
\(349\) −2.46389 + 1.42253i −0.131889 + 0.0761461i −0.564493 0.825438i \(-0.690928\pi\)
0.432604 + 0.901584i \(0.357595\pi\)
\(350\) 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 0.755167 0.655533i \(-0.227556\pi\)
−0.945291 + 0.326227i \(0.894223\pi\)
\(354\) −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 \(0.0990611\pi\)
−0.951964 + 0.306210i \(0.900939\pi\)
\(360\) −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 −0.312341 0.949970i \(-0.601113\pi\)
0.666528 + 0.745480i \(0.267780\pi\)
\(368\) 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 0.314905 + 0.949123i \(0.398027\pi\)
−0.979417 + 0.201845i \(0.935306\pi\)
\(374\) −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 −0.845864 0.533398i \(-0.820915\pi\)
0.884868 + 0.465841i \(0.154248\pi\)
\(384\) 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 −0.136115 0.990693i \(-0.543462\pi\)
0.789908 + 0.613225i \(0.210128\pi\)
\(390\) −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 \(-0.743045\pi\)
0.691488 0.722388i \(-0.256955\pi\)
\(398\) 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 −0.976703 0.214595i \(-0.931157\pi\)
−0.674196 0.738552i \(-0.735510\pi\)
\(402\) 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 0.641697 0.766958i \(-0.278231\pi\)
−0.343357 + 0.939205i \(0.611564\pi\)
\(410\) 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 0.0289690 + 0.999580i \(0.490778\pi\)
−0.880146 + 0.474702i \(0.842556\pi\)
\(420\) −8.06179 7.13559i −0.393375 0.348181i
\(421\) 2.84597 + 4.92936i 0.138704 + 0.240242i 0.927006 0.375046i \(-0.122373\pi\)
−0.788302 + 0.615288i \(0.789040\pi\)
\(422\) 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 \(-0.739709\pi\)
0.683880 0.729595i \(-0.260291\pi\)
\(432\) 5.05589 1.19917i 0.243251 0.0576950i
\(433\) 23.6094i 1.13459i −0.823513 0.567297i \(-0.807989\pi\)
0.823513 0.567297i \(-0.192011\pi\)
\(434\) 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 0.115989 0.993250i \(-0.462996\pi\)
0.918175 + 0.396175i \(0.129663\pi\)
\(440\) −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 −0.892333 0.451377i \(-0.850933\pi\)
−0.0552622 + 0.998472i \(0.517599\pi\)
\(444\) −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 \(0.122443\pi\)
−0.926923 + 0.375251i \(0.877557\pi\)
\(450\) −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 0.924649 0.380819i \(-0.124358\pi\)
−0.792124 + 0.610360i \(0.791025\pi\)
\(458\) −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 −0.955776 0.294095i \(-0.904982\pi\)
0.223194 0.974774i \(-0.428352\pi\)
\(462\) 5.19186 25.4904i 0.241547 1.18592i
\(463\) 4.55148 7.88340i 0.211525 0.366373i −0.740667 0.671873i \(-0.765490\pi\)
0.952192 + 0.305500i \(0.0988236\pi\)
\(464\) −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 0.807835 0.589409i \(-0.200639\pi\)
−0.914361 + 0.404901i \(0.867306\pi\)
\(480\) 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 0.0429758 0.999076i \(-0.486316\pi\)
−0.843737 + 0.536756i \(0.819649\pi\)
\(492\) 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 −0.728181 0.685385i \(-0.759634\pi\)
0.957651 + 0.287931i \(0.0929673\pi\)
\(500\) 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 0.214646 + 0.976692i \(0.431140\pi\)
−0.953163 + 0.302457i \(0.902193\pi\)
\(510\) 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 \(0.00547630\pi\)
−0.999852 + 0.0172034i \(0.994524\pi\)
\(524\) −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 0.679489 0.733685i \(-0.262201\pi\)
−0.975135 + 0.221612i \(0.928868\pi\)
\(548\) 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 \(0.200658\pi\)
−0.807800 + 0.589456i \(0.799342\pi\)
\(558\) 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 −0.482898 0.875676i \(-0.660416\pi\)
0.999807 0.0196359i \(-0.00625069\pi\)
\(564\) 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 −0.903527 0.428531i \(-0.859031\pi\)
−0.0806449 + 0.996743i \(0.525698\pi\)
\(570\) −3.77188 2.69566i −0.157987 0.112909i
\(571\) 14.9177 25.8382i 0.624287 1.08130i −0.364391 0.931246i \(-0.618723\pi\)
0.988678 0.150051i \(-0.0479438\pi\)
\(572\) −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 \(0.199415\pi\)
−0.810097 + 0.586296i \(0.800585\pi\)
\(578\) 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 0.950034 0.312145i \(-0.101048\pi\)
−0.745343 + 0.666681i \(0.767714\pi\)
\(588\) −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 0.737004 0.675888i \(-0.236240\pi\)
−0.216834 + 0.976208i \(0.569573\pi\)
\(600\) 0.895548 + 0.0870571i 0.0365606 + 0.00355409i
\(601\) 16.2923 9.40634i 0.664575 0.383693i −0.129443 0.991587i \(-0.541319\pi\)
0.794018 + 0.607894i \(0.207986\pi\)
\(602\) −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 0.704711 0.709495i \(-0.251077\pi\)
−0.262085 + 0.965045i \(0.584410\pi\)
\(608\) −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 0.433118 0.901337i \(-0.357413\pi\)
−0.564022 + 0.825760i \(0.690747\pi\)
\(618\) 8.25742 + 5.90135i 0.332162 + 0.237387i
\(619\) 9.56902 5.52468i 0.384611 0.222055i −0.295211 0.955432i \(-0.595390\pi\)
0.679823 + 0.733376i \(0.262057\pi\)
\(620\) 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 −0.875669 0.482912i \(-0.839579\pi\)
−0.0196208 + 0.999807i \(0.506246\pi\)
\(642\) 0.790267 8.12940i 0.0311893 0.320842i
\(643\) 9.50955 + 5.49034i 0.375020 + 0.216518i 0.675649 0.737223i \(-0.263863\pi\)
−0.300629 + 0.953741i \(0.597197\pi\)
\(644\) −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 0.828560 0.559900i \(-0.189161\pi\)
−0.0706080 + 0.997504i \(0.522494\pi\)
\(654\) −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 −0.825713 0.564091i \(-0.809227\pi\)
0.0756603 + 0.997134i \(0.475894\pi\)
\(660\) 9.56002 + 21.0284i 0.372123 + 0.818531i
\(661\) −9.13646 5.27494i −0.355367 0.205171i 0.311679 0.950187i \(-0.399108\pi\)
−0.667047 + 0.745016i \(0.732442\pi\)
\(662\) −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 0.991488 0.130197i \(-0.0415610\pi\)
−0.608498 + 0.793555i \(0.708228\pi\)
\(674\) 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 0.671405 0.741090i \(-0.265691\pi\)
−0.977506 + 0.210909i \(0.932358\pi\)
\(678\) −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 \(-0.881404\pi\)
0.931391 0.364021i \(-0.118596\pi\)
\(684\) −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 −0.497345 0.867553i \(-0.665692\pi\)
0.502651 + 0.864490i \(0.332358\pi\)
\(692\) 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 \(0.0603670\pi\)
−0.982071 + 0.188514i \(0.939633\pi\)
\(702\) 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 0.998857 0.0477959i \(-0.0152197\pi\)
−0.540821 + 0.841138i \(0.681886\pi\)
\(710\) 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 −0.0652306 0.997870i \(-0.520778\pi\)
0.831566 + 0.555427i \(0.187445\pi\)
\(728\) 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 0.683233 0.730201i \(-0.260574\pi\)
−0.290756 + 0.956797i \(0.593907\pi\)
\(734\) −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 0.989111 + 0.147173i \(0.0470176\pi\)
0.622011 + 0.783008i \(0.286316\pi\)
\(744\) 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 −0.395930 0.918281i \(-0.629578\pi\)
0.993219 0.116255i \(-0.0370890\pi\)
\(752\) 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 −0.132571 0.991174i \(-0.542323\pi\)
0.924667 0.380777i \(-0.124343\pi\)
\(762\) 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 −0.350953 0.936393i \(-0.614142\pi\)
−0.986417 + 0.164262i \(0.947476\pi\)
\(770\) −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