Properties

Label 546.2.bn.e.101.16
Level $546$
Weight $2$
Character 546.101
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bn (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.16
Character \(\chi\) \(=\) 546.101
Dual form 546.2.bn.e.173.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(1.70046 + 0.329307i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.26448 + 0.730045i) q^{5} +(-1.13542 + 1.30799i) q^{6} +(-2.63261 + 0.263392i) q^{7} +1.00000 q^{8} +(2.78311 + 1.11994i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(1.70046 + 0.329307i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.26448 + 0.730045i) q^{5} +(-1.13542 + 1.30799i) q^{6} +(-2.63261 + 0.263392i) q^{7} +1.00000 q^{8} +(2.78311 + 1.11994i) q^{9} -1.46009i q^{10} +3.51948 q^{11} +(-0.565041 - 1.63729i) q^{12} +(-0.214878 + 3.59914i) q^{13} +(1.08820 - 2.41160i) q^{14} +(-2.39060 + 0.825011i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.79359 + 6.57069i) q^{17} +(-2.36146 + 1.85028i) q^{18} -3.45362 q^{19} +(1.26448 + 0.730045i) q^{20} +(-4.56338 - 0.419048i) q^{21} +(-1.75974 + 3.04796i) q^{22} +(-3.12372 - 1.80348i) q^{23} +(1.70046 + 0.329307i) q^{24} +(-1.43407 + 2.48388i) q^{25} +(-3.00951 - 1.98566i) q^{26} +(4.36376 + 2.82092i) q^{27} +(1.54441 + 2.14821i) q^{28} +(0.170773 - 0.0985961i) q^{29} +(0.480817 - 2.48282i) q^{30} +(-5.34484 + 9.25753i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(5.98472 + 1.15899i) q^{33} -7.58718 q^{34} +(3.13658 - 2.25498i) q^{35} +(-0.421657 - 2.97022i) q^{36} +(-4.81918 - 2.78236i) q^{37} +(1.72681 - 2.99093i) q^{38} +(-1.55061 + 6.04943i) q^{39} +(-1.26448 + 0.730045i) q^{40} +(2.60543 - 1.50425i) q^{41} +(2.64459 - 3.74248i) q^{42} +(5.61139 - 9.71922i) q^{43} +(-1.75974 - 3.04796i) q^{44} +(-4.33679 + 0.615658i) q^{45} +(3.12372 - 1.80348i) q^{46} +(11.0787 - 6.39629i) q^{47} +(-1.13542 + 1.30799i) q^{48} +(6.86125 - 1.38682i) q^{49} +(-1.43407 - 2.48388i) q^{50} +(4.28707 + 12.4224i) q^{51} +(3.22439 - 1.61348i) q^{52} +(4.21555 + 2.43385i) q^{53} +(-4.62487 + 2.36867i) q^{54} +(-4.45029 + 2.56938i) q^{55} +(-2.63261 + 0.263392i) q^{56} +(-5.87274 - 1.13730i) q^{57} +0.197192i q^{58} +(-1.13289 + 0.654074i) q^{59} +(1.90978 + 1.65781i) q^{60} -0.999644i q^{61} +(-5.34484 - 9.25753i) q^{62} +(-7.62183 - 2.21532i) q^{63} +1.00000 q^{64} +(-2.35583 - 4.70790i) q^{65} +(-3.99607 + 4.60343i) q^{66} -5.52864i q^{67} +(3.79359 - 6.57069i) q^{68} +(-4.71786 - 4.09541i) q^{69} +(0.384576 + 3.84385i) q^{70} +(-5.33718 + 9.24427i) q^{71} +(2.78311 + 1.11994i) q^{72} +(2.94410 - 5.09933i) q^{73} +(4.81918 - 2.78236i) q^{74} +(-3.25653 + 3.75148i) q^{75} +(1.72681 + 2.99093i) q^{76} +(-9.26540 + 0.927001i) q^{77} +(-4.46365 - 4.36759i) q^{78} +(0.174645 + 0.302494i) q^{79} -1.46009i q^{80} +(6.49145 + 6.23386i) q^{81} +3.00849i q^{82} +3.72979i q^{83} +(1.91878 + 4.16152i) q^{84} +(-9.59380 - 5.53898i) q^{85} +(5.61139 + 9.71922i) q^{86} +(0.322861 - 0.111422i) q^{87} +3.51948 q^{88} +(-12.5228 - 7.23003i) q^{89} +(1.63522 - 4.06360i) q^{90} +(-0.382294 - 9.53173i) q^{91} +3.60696i q^{92} +(-12.1372 + 13.9819i) q^{93} +12.7926i q^{94} +(4.36702 - 2.52130i) q^{95} +(-0.565041 - 1.63729i) q^{96} +(1.72747 - 2.99206i) q^{97} +(-2.22961 + 6.63542i) q^{98} +(9.79510 + 3.94162i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 1.70046 + 0.329307i 0.981760 + 0.190125i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −1.26448 + 0.730045i −0.565491 + 0.326486i −0.755346 0.655326i \(-0.772531\pi\)
0.189856 + 0.981812i \(0.439198\pi\)
\(6\) −1.13542 + 1.30799i −0.463532 + 0.533983i
\(7\) −2.63261 + 0.263392i −0.995032 + 0.0995528i
\(8\) 1.00000 0.353553
\(9\) 2.78311 + 1.11994i 0.927705 + 0.373315i
\(10\) 1.46009i 0.461721i
\(11\) 3.51948 1.06116 0.530581 0.847634i \(-0.321974\pi\)
0.530581 + 0.847634i \(0.321974\pi\)
\(12\) −0.565041 1.63729i −0.163113 0.472646i
\(13\) −0.214878 + 3.59914i −0.0595966 + 0.998223i
\(14\) 1.08820 2.41160i 0.290834 0.644528i
\(15\) −2.39060 + 0.825011i −0.617249 + 0.213017i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 3.79359 + 6.57069i 0.920080 + 1.59363i 0.799288 + 0.600948i \(0.205210\pi\)
0.120793 + 0.992678i \(0.461456\pi\)
\(18\) −2.36146 + 1.85028i −0.556601 + 0.436114i
\(19\) −3.45362 −0.792316 −0.396158 0.918182i \(-0.629657\pi\)
−0.396158 + 0.918182i \(0.629657\pi\)
\(20\) 1.26448 + 0.730045i 0.282745 + 0.163243i
\(21\) −4.56338 0.419048i −0.995810 0.0914439i
\(22\) −1.75974 + 3.04796i −0.375177 + 0.649826i
\(23\) −3.12372 1.80348i −0.651341 0.376052i 0.137629 0.990484i \(-0.456052\pi\)
−0.788970 + 0.614432i \(0.789385\pi\)
\(24\) 1.70046 + 0.329307i 0.347105 + 0.0672194i
\(25\) −1.43407 + 2.48388i −0.286814 + 0.496776i
\(26\) −3.00951 1.98566i −0.590213 0.389420i
\(27\) 4.36376 + 2.82092i 0.839807 + 0.542885i
\(28\) 1.54441 + 2.14821i 0.291866 + 0.405973i
\(29\) 0.170773 0.0985961i 0.0317118 0.0183088i −0.484060 0.875035i \(-0.660838\pi\)
0.515772 + 0.856726i \(0.327505\pi\)
\(30\) 0.480817 2.48282i 0.0877849 0.453299i
\(31\) −5.34484 + 9.25753i −0.959961 + 1.66270i −0.237377 + 0.971418i \(0.576288\pi\)
−0.722584 + 0.691283i \(0.757046\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 5.98472 + 1.15899i 1.04181 + 0.201754i
\(34\) −7.58718 −1.30119
\(35\) 3.13658 2.25498i 0.530179 0.381160i
\(36\) −0.421657 2.97022i −0.0702762 0.495037i
\(37\) −4.81918 2.78236i −0.792269 0.457417i 0.0484917 0.998824i \(-0.484559\pi\)
−0.840761 + 0.541407i \(0.817892\pi\)
\(38\) 1.72681 2.99093i 0.280126 0.485192i
\(39\) −1.55061 + 6.04943i −0.248297 + 0.968684i
\(40\) −1.26448 + 0.730045i −0.199931 + 0.115430i
\(41\) 2.60543 1.50425i 0.406900 0.234924i −0.282557 0.959250i \(-0.591183\pi\)
0.689457 + 0.724327i \(0.257849\pi\)
\(42\) 2.64459 3.74248i 0.408070 0.577476i
\(43\) 5.61139 9.71922i 0.855730 1.48217i −0.0202369 0.999795i \(-0.506442\pi\)
0.875967 0.482372i \(-0.160225\pi\)
\(44\) −1.75974 3.04796i −0.265291 0.459497i
\(45\) −4.33679 + 0.615658i −0.646490 + 0.0917768i
\(46\) 3.12372 1.80348i 0.460568 0.265909i
\(47\) 11.0787 6.39629i 1.61599 0.932994i 0.628051 0.778172i \(-0.283853\pi\)
0.987942 0.154822i \(-0.0494803\pi\)
\(48\) −1.13542 + 1.30799i −0.163883 + 0.188792i
\(49\) 6.86125 1.38682i 0.980178 0.198116i
\(50\) −1.43407 2.48388i −0.202808 0.351273i
\(51\) 4.28707 + 12.4224i 0.600309 + 1.73949i
\(52\) 3.22439 1.61348i 0.447142 0.223750i
\(53\) 4.21555 + 2.43385i 0.579051 + 0.334315i 0.760756 0.649038i \(-0.224828\pi\)
−0.181705 + 0.983353i \(0.558162\pi\)
\(54\) −4.62487 + 2.36867i −0.629365 + 0.322335i
\(55\) −4.45029 + 2.56938i −0.600077 + 0.346455i
\(56\) −2.63261 + 0.263392i −0.351797 + 0.0351972i
\(57\) −5.87274 1.13730i −0.777864 0.150639i
\(58\) 0.197192i 0.0258926i
\(59\) −1.13289 + 0.654074i −0.147490 + 0.0851532i −0.571929 0.820303i \(-0.693805\pi\)
0.424439 + 0.905456i \(0.360471\pi\)
\(60\) 1.90978 + 1.65781i 0.246551 + 0.214023i
\(61\) 0.999644i 0.127991i −0.997950 0.0639956i \(-0.979616\pi\)
0.997950 0.0639956i \(-0.0203844\pi\)
\(62\) −5.34484 9.25753i −0.678795 1.17571i
\(63\) −7.62183 2.21532i −0.960261 0.279105i
\(64\) 1.00000 0.125000
\(65\) −2.35583 4.70790i −0.292205 0.583943i
\(66\) −3.99607 + 4.60343i −0.491883 + 0.566643i
\(67\) 5.52864i 0.675431i −0.941248 0.337715i \(-0.890346\pi\)
0.941248 0.337715i \(-0.109654\pi\)
\(68\) 3.79359 6.57069i 0.460040 0.796813i
\(69\) −4.71786 4.09541i −0.567964 0.493029i
\(70\) 0.384576 + 3.84385i 0.0459656 + 0.459427i
\(71\) −5.33718 + 9.24427i −0.633407 + 1.09709i 0.353443 + 0.935456i \(0.385011\pi\)
−0.986850 + 0.161637i \(0.948323\pi\)
\(72\) 2.78311 + 1.11994i 0.327993 + 0.131987i
\(73\) 2.94410 5.09933i 0.344581 0.596832i −0.640697 0.767794i \(-0.721354\pi\)
0.985278 + 0.170963i \(0.0546877\pi\)
\(74\) 4.81918 2.78236i 0.560219 0.323442i
\(75\) −3.25653 + 3.75148i −0.376032 + 0.433184i
\(76\) 1.72681 + 2.99093i 0.198079 + 0.343083i
\(77\) −9.26540 + 0.927001i −1.05589 + 0.105642i
\(78\) −4.46365 4.36759i −0.505409 0.494532i
\(79\) 0.174645 + 0.302494i 0.0196491 + 0.0340332i 0.875683 0.482887i \(-0.160412\pi\)
−0.856034 + 0.516920i \(0.827078\pi\)
\(80\) 1.46009i 0.163243i
\(81\) 6.49145 + 6.23386i 0.721272 + 0.692652i
\(82\) 3.00849i 0.332232i
\(83\) 3.72979i 0.409398i 0.978825 + 0.204699i \(0.0656215\pi\)
−0.978825 + 0.204699i \(0.934379\pi\)
\(84\) 1.91878 + 4.16152i 0.209356 + 0.454059i
\(85\) −9.59380 5.53898i −1.04059 0.600787i
\(86\) 5.61139 + 9.71922i 0.605092 + 1.04805i
\(87\) 0.322861 0.111422i 0.0346144 0.0119457i
\(88\) 3.51948 0.375177
\(89\) −12.5228 7.23003i −1.32741 0.766382i −0.342513 0.939513i \(-0.611278\pi\)
−0.984899 + 0.173131i \(0.944612\pi\)
\(90\) 1.63522 4.06360i 0.172367 0.428341i
\(91\) −0.382294 9.53173i −0.0400753 0.999197i
\(92\) 3.60696i 0.376052i
\(93\) −12.1372 + 13.9819i −1.25857 + 1.44986i
\(94\) 12.7926i 1.31945i
\(95\) 4.36702 2.52130i 0.448047 0.258680i
\(96\) −0.565041 1.63729i −0.0576693 0.167106i
\(97\) 1.72747 2.99206i 0.175398 0.303798i −0.764901 0.644148i \(-0.777212\pi\)
0.940299 + 0.340350i \(0.110545\pi\)
\(98\) −2.22961 + 6.63542i −0.225224 + 0.670279i
\(99\) 9.79510 + 3.94162i 0.984445 + 0.396147i
\(100\) 2.86814 0.286814
\(101\) 11.6172 1.15596 0.577979 0.816052i \(-0.303842\pi\)
0.577979 + 0.816052i \(0.303842\pi\)
\(102\) −12.9017 2.49851i −1.27746 0.247389i
\(103\) 16.2249 9.36744i 1.59869 0.923001i 0.606944 0.794745i \(-0.292395\pi\)
0.991741 0.128257i \(-0.0409381\pi\)
\(104\) −0.214878 + 3.59914i −0.0210706 + 0.352925i
\(105\) 6.07620 2.80159i 0.592977 0.273408i
\(106\) −4.21555 + 2.43385i −0.409451 + 0.236397i
\(107\) −0.303807 0.175403i −0.0293701 0.0169568i 0.485243 0.874379i \(-0.338731\pi\)
−0.514613 + 0.857422i \(0.672064\pi\)
\(108\) 0.261103 5.18959i 0.0251246 0.499368i
\(109\) 8.12542 + 4.69121i 0.778274 + 0.449337i 0.835818 0.549006i \(-0.184994\pi\)
−0.0575444 + 0.998343i \(0.518327\pi\)
\(110\) 5.13875i 0.489961i
\(111\) −7.27857 6.31827i −0.690851 0.599704i
\(112\) 1.08820 2.41160i 0.102825 0.227875i
\(113\) 5.03517 + 2.90706i 0.473669 + 0.273473i 0.717774 0.696276i \(-0.245161\pi\)
−0.244105 + 0.969749i \(0.578494\pi\)
\(114\) 3.92130 4.51729i 0.367264 0.423083i
\(115\) 5.26649 0.491103
\(116\) −0.170773 0.0985961i −0.0158559 0.00915442i
\(117\) −4.62887 + 9.77617i −0.427939 + 0.903808i
\(118\) 1.30815i 0.120425i
\(119\) −11.7177 16.2988i −1.07416 1.49411i
\(120\) −2.39060 + 0.825011i −0.218231 + 0.0753129i
\(121\) 1.38671 0.126065
\(122\) 0.865717 + 0.499822i 0.0783783 + 0.0452518i
\(123\) 4.92578 1.69992i 0.444143 0.153277i
\(124\) 10.6897 0.959961
\(125\) 11.4882i 1.02754i
\(126\) 5.72944 5.49304i 0.510419 0.489359i
\(127\) −7.87940 13.6475i −0.699183 1.21102i −0.968750 0.248039i \(-0.920214\pi\)
0.269567 0.962982i \(-0.413120\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 12.7425 14.6793i 1.12192 1.29244i
\(130\) 5.25507 + 0.313742i 0.460901 + 0.0275170i
\(131\) 6.32520 + 10.9556i 0.552635 + 0.957192i 0.998083 + 0.0618843i \(0.0197110\pi\)
−0.445448 + 0.895308i \(0.646956\pi\)
\(132\) −1.98865 5.76241i −0.173090 0.501554i
\(133\) 9.09204 0.909656i 0.788380 0.0788772i
\(134\) 4.78794 + 2.76432i 0.413615 + 0.238801i
\(135\) −7.57727 0.381234i −0.652147 0.0328114i
\(136\) 3.79359 + 6.57069i 0.325298 + 0.563432i
\(137\) 0.625790 + 1.08390i 0.0534648 + 0.0926038i 0.891519 0.452983i \(-0.149640\pi\)
−0.838054 + 0.545587i \(0.816307\pi\)
\(138\) 5.90566 2.03808i 0.502723 0.173493i
\(139\) −8.68419 5.01382i −0.736583 0.425267i 0.0842424 0.996445i \(-0.473153\pi\)
−0.820826 + 0.571179i \(0.806486\pi\)
\(140\) −3.52116 1.58887i −0.297592 0.134284i
\(141\) 20.9452 7.22833i 1.76390 0.608735i
\(142\) −5.33718 9.24427i −0.447886 0.775762i
\(143\) −0.756260 + 12.6671i −0.0632416 + 1.05928i
\(144\) −2.36146 + 1.85028i −0.196788 + 0.154190i
\(145\) −0.143959 + 0.249345i −0.0119552 + 0.0207069i
\(146\) 2.94410 + 5.09933i 0.243655 + 0.422024i
\(147\) 12.1240 0.0987658i 0.999967 0.00814606i
\(148\) 5.56471i 0.457417i
\(149\) −3.24622 −0.265941 −0.132970 0.991120i \(-0.542451\pi\)
−0.132970 + 0.991120i \(0.542451\pi\)
\(150\) −1.62061 4.69598i −0.132323 0.383425i
\(151\) 8.04225 + 4.64320i 0.654469 + 0.377858i 0.790166 0.612892i \(-0.209994\pi\)
−0.135697 + 0.990750i \(0.543327\pi\)
\(152\) −3.45362 −0.280126
\(153\) 3.19919 + 22.5356i 0.258639 + 1.82189i
\(154\) 3.82989 8.48757i 0.308622 0.683948i
\(155\) 15.6079i 1.25366i
\(156\) 6.01427 1.68184i 0.481527 0.134655i
\(157\) −16.2305 9.37071i −1.29534 0.747864i −0.315743 0.948845i \(-0.602254\pi\)
−0.979595 + 0.200981i \(0.935587\pi\)
\(158\) −0.349290 −0.0277880
\(159\) 6.36689 + 5.52687i 0.504927 + 0.438309i
\(160\) 1.26448 + 0.730045i 0.0999656 + 0.0577151i
\(161\) 8.69856 + 3.92510i 0.685542 + 0.309341i
\(162\) −8.64441 + 2.50483i −0.679169 + 0.196798i
\(163\) 0.909388i 0.0712288i 0.999366 + 0.0356144i \(0.0113388\pi\)
−0.999366 + 0.0356144i \(0.988661\pi\)
\(164\) −2.60543 1.50425i −0.203450 0.117462i
\(165\) −8.41365 + 2.90361i −0.655002 + 0.226046i
\(166\) −3.23009 1.86490i −0.250704 0.144744i
\(167\) 11.6602 6.73204i 0.902297 0.520941i 0.0243520 0.999703i \(-0.492248\pi\)
0.877945 + 0.478762i \(0.158914\pi\)
\(168\) −4.56338 0.419048i −0.352072 0.0323303i
\(169\) −12.9077 1.54676i −0.992896 0.118981i
\(170\) 9.59380 5.53898i 0.735811 0.424821i
\(171\) −9.61183 3.86787i −0.735035 0.295783i
\(172\) −11.2228 −0.855730
\(173\) 10.1687 0.773111 0.386556 0.922266i \(-0.373665\pi\)
0.386556 + 0.922266i \(0.373665\pi\)
\(174\) −0.0649367 + 0.335317i −0.00492284 + 0.0254203i
\(175\) 3.12110 6.91680i 0.235933 0.522861i
\(176\) −1.75974 + 3.04796i −0.132645 + 0.229748i
\(177\) −2.14182 + 0.739157i −0.160989 + 0.0555585i
\(178\) 12.5228 7.23003i 0.938622 0.541914i
\(179\) 8.54026i 0.638329i −0.947699 0.319164i \(-0.896598\pi\)
0.947699 0.319164i \(-0.103402\pi\)
\(180\) 2.70157 + 3.44794i 0.201363 + 0.256994i
\(181\) 25.4759i 1.89361i 0.321810 + 0.946804i \(0.395709\pi\)
−0.321810 + 0.946804i \(0.604291\pi\)
\(182\) 8.44587 + 4.43479i 0.626049 + 0.328728i
\(183\) 0.329189 1.69985i 0.0243344 0.125657i
\(184\) −3.12372 1.80348i −0.230284 0.132954i
\(185\) 8.12499 0.597361
\(186\) −6.04010 17.5021i −0.442882 1.28332i
\(187\) 13.3514 + 23.1254i 0.976354 + 1.69110i
\(188\) −11.0787 6.39629i −0.807997 0.466497i
\(189\) −12.2311 6.27699i −0.889681 0.456583i
\(190\) 5.04260i 0.365829i
\(191\) 20.7254i 1.49964i −0.661642 0.749819i \(-0.730140\pi\)
0.661642 0.749819i \(-0.269860\pi\)
\(192\) 1.70046 + 0.329307i 0.122720 + 0.0237657i
\(193\) 9.48648i 0.682852i 0.939909 + 0.341426i \(0.110910\pi\)
−0.939909 + 0.341426i \(0.889090\pi\)
\(194\) 1.72747 + 2.99206i 0.124025 + 0.214818i
\(195\) −2.45565 8.78137i −0.175852 0.628847i
\(196\) −4.63164 5.24861i −0.330832 0.374901i
\(197\) −3.21420 5.56716i −0.229002 0.396644i 0.728510 0.685035i \(-0.240213\pi\)
−0.957513 + 0.288391i \(0.906880\pi\)
\(198\) −8.31109 + 6.51200i −0.590644 + 0.462788i
\(199\) 1.09564 0.632567i 0.0776678 0.0448415i −0.460663 0.887575i \(-0.652388\pi\)
0.538331 + 0.842734i \(0.319055\pi\)
\(200\) −1.43407 + 2.48388i −0.101404 + 0.175637i
\(201\) 1.82062 9.40122i 0.128416 0.663111i
\(202\) −5.80861 + 10.0608i −0.408693 + 0.707876i
\(203\) −0.423610 + 0.304545i −0.0297316 + 0.0213749i
\(204\) 8.61461 9.92393i 0.603143 0.694814i
\(205\) −2.19633 + 3.80416i −0.153399 + 0.265694i
\(206\) 18.7349i 1.30532i
\(207\) −6.67388 8.51769i −0.463867 0.592020i
\(208\) −3.00951 1.98566i −0.208672 0.137681i
\(209\) −12.1549 −0.840775
\(210\) −0.611849 + 6.66294i −0.0422216 + 0.459787i
\(211\) −6.24577 10.8180i −0.429977 0.744742i 0.566894 0.823791i \(-0.308145\pi\)
−0.996871 + 0.0790492i \(0.974812\pi\)
\(212\) 4.86770i 0.334315i
\(213\) −12.1199 + 13.9619i −0.830438 + 0.956655i
\(214\) 0.303807 0.175403i 0.0207678 0.0119903i
\(215\) 16.3863i 1.11754i
\(216\) 4.36376 + 2.82092i 0.296917 + 0.191939i
\(217\) 11.6325 25.7792i 0.789666 1.75001i
\(218\) −8.12542 + 4.69121i −0.550323 + 0.317729i
\(219\) 6.68556 7.70169i 0.451768 0.520432i
\(220\) 4.45029 + 2.56938i 0.300039 + 0.173227i
\(221\) −24.4640 + 12.2418i −1.64563 + 0.823470i
\(222\) 9.11107 3.14429i 0.611495 0.211031i
\(223\) 3.78556 + 6.55677i 0.253500 + 0.439074i 0.964487 0.264131i \(-0.0850850\pi\)
−0.710987 + 0.703205i \(0.751752\pi\)
\(224\) 1.54441 + 2.14821i 0.103190 + 0.143533i
\(225\) −6.77298 + 5.30684i −0.451532 + 0.353789i
\(226\) −5.03517 + 2.90706i −0.334935 + 0.193375i
\(227\) 22.0466 12.7286i 1.46328 0.844826i 0.464120 0.885773i \(-0.346371\pi\)
0.999161 + 0.0409469i \(0.0130374\pi\)
\(228\) 1.95144 + 5.65459i 0.129237 + 0.374485i
\(229\) −5.51406 9.55063i −0.364379 0.631124i 0.624297 0.781187i \(-0.285386\pi\)
−0.988676 + 0.150063i \(0.952052\pi\)
\(230\) −2.63325 + 4.56092i −0.173631 + 0.300738i
\(231\) −16.0607 1.47483i −1.05672 0.0970368i
\(232\) 0.170773 0.0985961i 0.0112118 0.00647315i
\(233\) −6.18721 + 3.57219i −0.405338 + 0.234022i −0.688785 0.724966i \(-0.741855\pi\)
0.283447 + 0.958988i \(0.408522\pi\)
\(234\) −6.15198 8.89681i −0.402167 0.581602i
\(235\) −9.33916 + 16.1759i −0.609219 + 1.05520i
\(236\) 1.13289 + 0.654074i 0.0737448 + 0.0425766i
\(237\) 0.197363 + 0.571890i 0.0128201 + 0.0371482i
\(238\) 19.9741 1.99840i 1.29473 0.129537i
\(239\) −7.32463 −0.473791 −0.236896 0.971535i \(-0.576130\pi\)
−0.236896 + 0.971535i \(0.576130\pi\)
\(240\) 0.480817 2.48282i 0.0310366 0.160266i
\(241\) 8.71341 + 15.0921i 0.561280 + 0.972165i 0.997385 + 0.0722695i \(0.0230242\pi\)
−0.436105 + 0.899896i \(0.643643\pi\)
\(242\) −0.693357 + 1.20093i −0.0445707 + 0.0771986i
\(243\) 8.98559 + 12.7381i 0.576426 + 0.817150i
\(244\) −0.865717 + 0.499822i −0.0554219 + 0.0319978i
\(245\) −7.66344 + 6.76262i −0.489600 + 0.432048i
\(246\) −0.990716 + 5.11581i −0.0631657 + 0.326172i
\(247\) 0.742109 12.4301i 0.0472193 0.790907i
\(248\) −5.34484 + 9.25753i −0.339397 + 0.587854i
\(249\) −1.22824 + 6.34235i −0.0778368 + 0.401930i
\(250\) 9.94906 + 5.74410i 0.629234 + 0.363288i
\(251\) −6.39321 + 11.0734i −0.403536 + 0.698944i −0.994150 0.108010i \(-0.965552\pi\)
0.590614 + 0.806954i \(0.298886\pi\)
\(252\) 1.89239 + 7.70836i 0.119209 + 0.485581i
\(253\) −10.9939 6.34731i −0.691178 0.399052i
\(254\) 15.7588 0.988795
\(255\) −14.4898 12.5781i −0.907388 0.787672i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −10.6730 + 18.4862i −0.665764 + 1.15314i 0.313314 + 0.949650i \(0.398561\pi\)
−0.979078 + 0.203487i \(0.934772\pi\)
\(258\) 6.34134 + 18.3750i 0.394794 + 1.14398i
\(259\) 13.4199 + 6.05552i 0.833870 + 0.376272i
\(260\) −2.89925 + 4.39416i −0.179804 + 0.272514i
\(261\) 0.585704 0.0831475i 0.0362542 0.00514670i
\(262\) −12.6504 −0.781544
\(263\) 15.9137i 0.981283i −0.871362 0.490641i \(-0.836763\pi\)
0.871362 0.490641i \(-0.163237\pi\)
\(264\) 5.98472 + 1.15899i 0.368334 + 0.0713307i
\(265\) −7.10729 −0.436597
\(266\) −3.75823 + 8.32876i −0.230432 + 0.510669i
\(267\) −18.9136 16.4182i −1.15749 1.00478i
\(268\) −4.78794 + 2.76432i −0.292470 + 0.168858i
\(269\) −7.74959 13.4227i −0.472501 0.818396i 0.527004 0.849863i \(-0.323315\pi\)
−0.999505 + 0.0314670i \(0.989982\pi\)
\(270\) 4.11879 6.37149i 0.250662 0.387757i
\(271\) 7.49829 12.9874i 0.455489 0.788930i −0.543227 0.839586i \(-0.682798\pi\)
0.998716 + 0.0506559i \(0.0161312\pi\)
\(272\) −7.58718 −0.460040
\(273\) 2.48879 16.3342i 0.150628 0.988590i
\(274\) −1.25158 −0.0756107
\(275\) −5.04717 + 8.74195i −0.304356 + 0.527159i
\(276\) −1.18780 + 6.13349i −0.0714970 + 0.369193i
\(277\) 0.359676 + 0.622977i 0.0216108 + 0.0374310i 0.876629 0.481168i \(-0.159787\pi\)
−0.855018 + 0.518599i \(0.826454\pi\)
\(278\) 8.68419 5.01382i 0.520843 0.300709i
\(279\) −25.2432 + 19.7788i −1.51127 + 1.18413i
\(280\) 3.13658 2.25498i 0.187447 0.134761i
\(281\) −7.30448 −0.435749 −0.217874 0.975977i \(-0.569912\pi\)
−0.217874 + 0.975977i \(0.569912\pi\)
\(282\) −4.21268 + 21.7532i −0.250861 + 1.29539i
\(283\) 14.9247i 0.887180i 0.896230 + 0.443590i \(0.146295\pi\)
−0.896230 + 0.443590i \(0.853705\pi\)
\(284\) 10.6744 0.633407
\(285\) 8.25622 2.84928i 0.489056 0.168777i
\(286\) −10.5919 6.98849i −0.626312 0.413238i
\(287\) −6.46287 + 4.64634i −0.381491 + 0.274265i
\(288\) −0.421657 2.97022i −0.0248464 0.175022i
\(289\) −20.2826 + 35.1306i −1.19310 + 2.06650i
\(290\) −0.143959 0.249345i −0.00845358 0.0146420i
\(291\) 3.92279 4.51901i 0.229958 0.264909i
\(292\) −5.88820 −0.344581
\(293\) 13.1158 + 7.57239i 0.766231 + 0.442384i 0.831529 0.555482i \(-0.187466\pi\)
−0.0652973 + 0.997866i \(0.520800\pi\)
\(294\) −5.97644 + 10.5490i −0.348553 + 0.615232i
\(295\) 0.955007 1.65412i 0.0556027 0.0963066i
\(296\) −4.81918 2.78236i −0.280109 0.161721i
\(297\) 15.3582 + 9.92815i 0.891171 + 0.576089i
\(298\) 1.62311 2.81131i 0.0940242 0.162855i
\(299\) 7.16221 10.8552i 0.414201 0.627772i
\(300\) 4.87714 + 0.944496i 0.281582 + 0.0545305i
\(301\) −12.2126 + 27.0649i −0.703925 + 1.55999i
\(302\) −8.04225 + 4.64320i −0.462780 + 0.267186i
\(303\) 19.7546 + 3.82563i 1.13487 + 0.219777i
\(304\) 1.72681 2.99093i 0.0990395 0.171541i
\(305\) 0.729785 + 1.26403i 0.0417874 + 0.0723779i
\(306\) −21.1160 8.49721i −1.20712 0.485753i
\(307\) −0.289284 −0.0165103 −0.00825515 0.999966i \(-0.502628\pi\)
−0.00825515 + 0.999966i \(0.502628\pi\)
\(308\) 5.43551 + 7.56057i 0.309717 + 0.430804i
\(309\) 30.6745 10.5860i 1.74501 0.602215i
\(310\) 13.5168 + 7.80394i 0.767704 + 0.443234i
\(311\) −5.96970 + 10.3398i −0.338511 + 0.586318i −0.984153 0.177322i \(-0.943256\pi\)
0.645642 + 0.763640i \(0.276590\pi\)
\(312\) −1.55061 + 6.04943i −0.0877862 + 0.342482i
\(313\) −7.95301 + 4.59167i −0.449530 + 0.259537i −0.707632 0.706581i \(-0.750236\pi\)
0.258101 + 0.966118i \(0.416903\pi\)
\(314\) 16.2305 9.37071i 0.915942 0.528820i
\(315\) 11.2549 2.76306i 0.634142 0.155681i
\(316\) 0.174645 0.302494i 0.00982454 0.0170166i
\(317\) 11.5121 + 19.9395i 0.646582 + 1.11991i 0.983934 + 0.178534i \(0.0571356\pi\)
−0.337352 + 0.941379i \(0.609531\pi\)
\(318\) −7.96985 + 2.75045i −0.446927 + 0.154238i
\(319\) 0.601033 0.347007i 0.0336514 0.0194286i
\(320\) −1.26448 + 0.730045i −0.0706863 + 0.0408108i
\(321\) −0.458849 0.398311i −0.0256105 0.0222315i
\(322\) −7.74851 + 5.57062i −0.431808 + 0.310439i
\(323\) −13.1016 22.6927i −0.728994 1.26265i
\(324\) 2.15296 8.73869i 0.119609 0.485483i
\(325\) −8.63168 5.69515i −0.478800 0.315910i
\(326\) −0.787553 0.454694i −0.0436185 0.0251832i
\(327\) 12.2721 + 10.6530i 0.678648 + 0.589110i
\(328\) 2.60543 1.50425i 0.143861 0.0830581i
\(329\) −27.4811 + 19.7569i −1.51508 + 1.08924i
\(330\) 1.69223 8.73824i 0.0931540 0.481024i
\(331\) 23.6690i 1.30097i −0.759521 0.650483i \(-0.774566\pi\)
0.759521 0.650483i \(-0.225434\pi\)
\(332\) 3.23009 1.86490i 0.177274 0.102349i
\(333\) −10.2963 13.1408i −0.564231 0.720113i
\(334\) 13.4641i 0.736722i
\(335\) 4.03616 + 6.99083i 0.220519 + 0.381950i
\(336\) 2.64459 3.74248i 0.144274 0.204169i
\(337\) 19.1537 1.04337 0.521684 0.853139i \(-0.325304\pi\)
0.521684 + 0.853139i \(0.325304\pi\)
\(338\) 7.79336 10.4050i 0.423903 0.565956i
\(339\) 7.60478 + 6.60144i 0.413035 + 0.358541i
\(340\) 11.0780i 0.600787i
\(341\) −18.8110 + 32.5816i −1.01867 + 1.76439i
\(342\) 8.15558 6.39016i 0.441004 0.345540i
\(343\) −17.6977 + 5.45814i −0.955586 + 0.294712i
\(344\) 5.61139 9.71922i 0.302546 0.524025i
\(345\) 8.95545 + 1.73429i 0.482145 + 0.0933711i
\(346\) −5.08435 + 8.80635i −0.273336 + 0.473432i
\(347\) 27.4634 15.8560i 1.47431 0.851194i 0.474729 0.880132i \(-0.342546\pi\)
0.999581 + 0.0289382i \(0.00921259\pi\)
\(348\) −0.257925 0.223895i −0.0138262 0.0120020i
\(349\) 3.87835 + 6.71749i 0.207603 + 0.359579i 0.950959 0.309317i \(-0.100100\pi\)
−0.743356 + 0.668896i \(0.766767\pi\)
\(350\) 4.42957 + 6.16136i 0.236771 + 0.329338i
\(351\) −11.0906 + 15.0997i −0.591970 + 0.805960i
\(352\) −1.75974 3.04796i −0.0937944 0.162457i
\(353\) 0.567754i 0.0302185i −0.999886 0.0151092i \(-0.995190\pi\)
0.999886 0.0151092i \(-0.00480960\pi\)
\(354\) 0.430782 2.22445i 0.0228958 0.118228i
\(355\) 15.5855i 0.827194i
\(356\) 14.4601i 0.766382i
\(357\) −14.5581 31.5742i −0.770498 1.67108i
\(358\) 7.39608 + 4.27013i 0.390895 + 0.225683i
\(359\) −3.12906 5.41969i −0.165145 0.286040i 0.771562 0.636155i \(-0.219476\pi\)
−0.936707 + 0.350115i \(0.886143\pi\)
\(360\) −4.33679 + 0.615658i −0.228569 + 0.0324480i
\(361\) −7.07248 −0.372236
\(362\) −22.0628 12.7380i −1.15959 0.669492i
\(363\) 2.35805 + 0.456654i 0.123765 + 0.0239681i
\(364\) −8.06357 + 5.09694i −0.422646 + 0.267152i
\(365\) 8.59731i 0.450004i
\(366\) 1.30752 + 1.13501i 0.0683452 + 0.0593281i
\(367\) 21.5855i 1.12676i −0.826199 0.563378i \(-0.809501\pi\)
0.826199 0.563378i \(-0.190499\pi\)
\(368\) 3.12372 1.80348i 0.162835 0.0940130i
\(369\) 8.93588 1.26855i 0.465183 0.0660382i
\(370\) −4.06249 + 7.03645i −0.211199 + 0.365807i
\(371\) −11.7390 5.29703i −0.609456 0.275008i
\(372\) 18.1773 + 3.52018i 0.942451 + 0.182513i
\(373\) −0.756112 −0.0391500 −0.0195750 0.999808i \(-0.506231\pi\)
−0.0195750 + 0.999808i \(0.506231\pi\)
\(374\) −26.7029 −1.38077
\(375\) 3.78314 19.5352i 0.195360 1.00879i
\(376\) 11.0787 6.39629i 0.571340 0.329863i
\(377\) 0.318166 + 0.635824i 0.0163864 + 0.0327466i
\(378\) 11.5516 7.45394i 0.594149 0.383389i
\(379\) 6.26101 3.61480i 0.321607 0.185680i −0.330502 0.943805i \(-0.607218\pi\)
0.652108 + 0.758126i \(0.273885\pi\)
\(380\) −4.36702 2.52130i −0.224024 0.129340i
\(381\) −8.90437 25.8018i −0.456184 1.32186i
\(382\) 17.9487 + 10.3627i 0.918338 + 0.530202i
\(383\) 1.34855i 0.0689079i 0.999406 + 0.0344540i \(0.0109692\pi\)
−0.999406 + 0.0344540i \(0.989031\pi\)
\(384\) −1.13542 + 1.30799i −0.0579415 + 0.0667479i
\(385\) 11.0391 7.93633i 0.562606 0.404473i
\(386\) −8.21554 4.74324i −0.418160 0.241425i
\(387\) 26.5021 20.7653i 1.34718 1.05556i
\(388\) −3.45494 −0.175398
\(389\) 3.70239 + 2.13758i 0.187719 + 0.108379i 0.590914 0.806734i \(-0.298767\pi\)
−0.403196 + 0.915114i \(0.632101\pi\)
\(390\) 8.83272 + 2.26404i 0.447262 + 0.114644i
\(391\) 27.3667i 1.38399i
\(392\) 6.86125 1.38682i 0.346545 0.0700447i
\(393\) 7.14799 + 20.7124i 0.360569 + 1.04480i
\(394\) 6.42840 0.323858
\(395\) −0.441668 0.254997i −0.0222228 0.0128303i
\(396\) −1.48401 10.4536i −0.0745744 0.525314i
\(397\) −5.72958 −0.287560 −0.143780 0.989610i \(-0.545926\pi\)
−0.143780 + 0.989610i \(0.545926\pi\)
\(398\) 1.26513i 0.0634155i
\(399\) 15.7602 + 1.44724i 0.788996 + 0.0724524i
\(400\) −1.43407 2.48388i −0.0717034 0.124194i
\(401\) 10.9880 19.0318i 0.548717 0.950405i −0.449646 0.893207i \(-0.648450\pi\)
0.998363 0.0571984i \(-0.0182168\pi\)
\(402\) 7.23138 + 6.27731i 0.360669 + 0.313084i
\(403\) −32.1707 21.2261i −1.60254 1.05735i
\(404\) −5.80861 10.0608i −0.288989 0.500544i
\(405\) −12.7593 3.14352i −0.634014 0.156203i
\(406\) −0.0519388 0.519130i −0.00257768 0.0257640i
\(407\) −16.9610 9.79244i −0.840726 0.485393i
\(408\) 4.28707 + 12.4224i 0.212241 + 0.615002i
\(409\) −4.21950 7.30838i −0.208641 0.361376i 0.742646 0.669684i \(-0.233571\pi\)
−0.951287 + 0.308308i \(0.900237\pi\)
\(410\) −2.19633 3.80416i −0.108469 0.187874i
\(411\) 0.707194 + 2.04920i 0.0348833 + 0.101080i
\(412\) −16.2249 9.36744i −0.799343 0.461501i
\(413\) 2.81017 2.02031i 0.138280 0.0994131i
\(414\) 10.7135 1.52090i 0.526539 0.0747483i
\(415\) −2.72292 4.71623i −0.133663 0.231511i
\(416\) 3.22439 1.61348i 0.158089 0.0791074i
\(417\) −13.1160 11.3856i −0.642294 0.557553i
\(418\) 6.07747 10.5265i 0.297259 0.514868i
\(419\) 12.4744 + 21.6063i 0.609413 + 1.05553i 0.991337 + 0.131341i \(0.0419282\pi\)
−0.381924 + 0.924194i \(0.624738\pi\)
\(420\) −5.46435 3.86135i −0.266633 0.188414i
\(421\) 23.2628i 1.13376i 0.823800 + 0.566881i \(0.191850\pi\)
−0.823800 + 0.566881i \(0.808150\pi\)
\(422\) 12.4915 0.608079
\(423\) 37.9967 5.39408i 1.84746 0.262269i
\(424\) 4.21555 + 2.43385i 0.204725 + 0.118198i
\(425\) −21.7611 −1.05557
\(426\) −6.03145 17.4771i −0.292225 0.846766i
\(427\) 0.263298 + 2.63167i 0.0127419 + 0.127355i
\(428\) 0.350806i 0.0169568i
\(429\) −5.45735 + 21.2908i −0.263483 + 1.02793i
\(430\) −14.1909 8.19314i −0.684348 0.395108i
\(431\) 22.7370 1.09520 0.547602 0.836739i \(-0.315541\pi\)
0.547602 + 0.836739i \(0.315541\pi\)
\(432\) −4.62487 + 2.36867i −0.222514 + 0.113963i
\(433\) −11.9025 6.87194i −0.572000 0.330244i 0.185948 0.982560i \(-0.440464\pi\)
−0.757948 + 0.652315i \(0.773798\pi\)
\(434\) 16.5092 + 22.9637i 0.792468 + 1.10229i
\(435\) −0.326907 + 0.376593i −0.0156740 + 0.0180563i
\(436\) 9.38242i 0.449337i
\(437\) 10.7882 + 6.22855i 0.516068 + 0.297952i
\(438\) 3.32708 + 9.64071i 0.158974 + 0.460651i
\(439\) 10.5448 + 6.08806i 0.503277 + 0.290567i 0.730066 0.683377i \(-0.239489\pi\)
−0.226789 + 0.973944i \(0.572823\pi\)
\(440\) −4.45029 + 2.56938i −0.212159 + 0.122490i
\(441\) 20.6488 + 3.82455i 0.983276 + 0.182121i
\(442\) 1.63032 27.3073i 0.0775465 1.29888i
\(443\) 1.94173 1.12106i 0.0922543 0.0532630i −0.453163 0.891428i \(-0.649704\pi\)
0.545417 + 0.838165i \(0.316371\pi\)
\(444\) −1.83250 + 9.46256i −0.0869665 + 0.449073i
\(445\) 21.1130 1.00085
\(446\) −7.57111 −0.358503
\(447\) −5.52006 1.06900i −0.261090 0.0505620i
\(448\) −2.63261 + 0.263392i −0.124379 + 0.0124441i
\(449\) 3.91929 6.78842i 0.184963 0.320365i −0.758601 0.651555i \(-0.774117\pi\)
0.943564 + 0.331190i \(0.107450\pi\)
\(450\) −1.20937 8.51899i −0.0570102 0.401589i
\(451\) 9.16975 5.29416i 0.431787 0.249292i
\(452\) 5.81411i 0.273473i
\(453\) 12.1465 + 10.5439i 0.570691 + 0.495397i
\(454\) 25.4572i 1.19476i
\(455\) 7.44200 + 11.7735i 0.348886 + 0.551952i
\(456\) −5.87274 1.13730i −0.275016 0.0532590i
\(457\) −5.66636 3.27147i −0.265061 0.153033i 0.361580 0.932341i \(-0.382237\pi\)
−0.626641 + 0.779308i \(0.715571\pi\)
\(458\) 11.0281 0.515310
\(459\) −1.98103 + 39.3743i −0.0924667 + 1.83784i
\(460\) −2.63325 4.56092i −0.122776 0.212654i
\(461\) 20.3030 + 11.7219i 0.945606 + 0.545946i 0.891713 0.452601i \(-0.149504\pi\)
0.0538925 + 0.998547i \(0.482837\pi\)
\(462\) 9.30759 13.1716i 0.433028 0.612796i
\(463\) 37.3356i 1.73513i 0.497321 + 0.867567i \(0.334317\pi\)
−0.497321 + 0.867567i \(0.665683\pi\)
\(464\) 0.197192i 0.00915442i
\(465\) 5.13978 26.5406i 0.238352 1.23079i
\(466\) 7.14438i 0.330957i
\(467\) −3.36611 5.83027i −0.155765 0.269792i 0.777572 0.628793i \(-0.216451\pi\)
−0.933337 + 0.359001i \(0.883118\pi\)
\(468\) 10.7808 0.879368i 0.498345 0.0406488i
\(469\) 1.45620 + 14.5547i 0.0672410 + 0.672075i
\(470\) −9.33916 16.1759i −0.430783 0.746138i
\(471\) −24.5135 21.2793i −1.12952 0.980499i
\(472\) −1.13289 + 0.654074i −0.0521454 + 0.0301062i
\(473\) 19.7492 34.2066i 0.908068 1.57282i
\(474\) −0.593953 0.115023i −0.0272812 0.00528320i
\(475\) 4.95273 8.57838i 0.227247 0.393603i
\(476\) −8.25637 + 18.2972i −0.378430 + 0.838653i
\(477\) 9.00659 + 11.4949i 0.412383 + 0.526314i
\(478\) 3.66232 6.34332i 0.167510 0.290137i
\(479\) 12.9489i 0.591650i 0.955242 + 0.295825i \(0.0955946\pi\)
−0.955242 + 0.295825i \(0.904405\pi\)
\(480\) 1.90978 + 1.65781i 0.0871691 + 0.0756684i
\(481\) 11.0496 16.7471i 0.503820 0.763600i
\(482\) −17.4268 −0.793769
\(483\) 13.4990 + 9.53896i 0.614225 + 0.434038i
\(484\) −0.693357 1.20093i −0.0315162 0.0545877i
\(485\) 5.04452i 0.229060i
\(486\) −15.5243 + 1.41269i −0.704197 + 0.0640811i
\(487\) 7.51390 4.33815i 0.340487 0.196580i −0.320000 0.947417i \(-0.603683\pi\)
0.660488 + 0.750837i \(0.270350\pi\)
\(488\) 0.999644i 0.0452518i
\(489\) −0.299467 + 1.54638i −0.0135424 + 0.0699295i
\(490\) −2.02488 10.0180i −0.0914746 0.452569i
\(491\) −14.7725 + 8.52893i −0.666676 + 0.384905i −0.794816 0.606851i \(-0.792433\pi\)
0.128140 + 0.991756i \(0.459099\pi\)
\(492\) −3.93507 3.41589i −0.177406 0.154000i
\(493\) 1.29569 + 0.748066i 0.0583549 + 0.0336912i
\(494\) 10.3937 + 6.85773i 0.467635 + 0.308544i
\(495\) −15.2632 + 2.16679i −0.686031 + 0.0973901i
\(496\) −5.34484 9.25753i −0.239990 0.415675i
\(497\) 11.6158 25.7423i 0.521042 1.15470i
\(498\) −4.87851 4.23487i −0.218611 0.189769i
\(499\) −20.1546 + 11.6362i −0.902243 + 0.520910i −0.877927 0.478794i \(-0.841074\pi\)
−0.0243156 + 0.999704i \(0.507741\pi\)
\(500\) −9.94906 + 5.74410i −0.444936 + 0.256884i
\(501\) 22.0447 7.60776i 0.984883 0.339890i
\(502\) −6.39321 11.0734i −0.285343 0.494228i
\(503\) −4.33129 + 7.50201i −0.193122 + 0.334498i −0.946283 0.323338i \(-0.895195\pi\)
0.753161 + 0.657836i \(0.228528\pi\)
\(504\) −7.62183 2.21532i −0.339503 0.0986784i
\(505\) −14.6897 + 8.48110i −0.653683 + 0.377404i
\(506\) 10.9939 6.34731i 0.488737 0.282172i
\(507\) −21.4396 6.88077i −0.952165 0.305586i
\(508\) −7.87940 + 13.6475i −0.349592 + 0.605511i
\(509\) 5.00911 + 2.89201i 0.222025 + 0.128186i 0.606887 0.794788i \(-0.292418\pi\)
−0.384863 + 0.922974i \(0.625751\pi\)
\(510\) 18.1379 6.25951i 0.803159 0.277176i
\(511\) −6.40754 + 14.2000i −0.283453 + 0.628171i
\(512\) 1.00000 0.0441942
\(513\) −15.0708 9.74238i −0.665392 0.430137i
\(514\) −10.6730 18.4862i −0.470766 0.815391i
\(515\) −13.6773 + 23.6898i −0.602694 + 1.04390i
\(516\) −19.0839 3.69574i −0.840121 0.162696i
\(517\) 38.9912 22.5116i 1.71483 0.990058i
\(518\) −11.9542 + 8.59419i −0.525236 + 0.377607i
\(519\) 17.2914 + 3.34862i 0.759010 + 0.146988i
\(520\) −2.35583 4.70790i −0.103310 0.206455i
\(521\) −5.46547 + 9.46647i −0.239447 + 0.414734i −0.960556 0.278088i \(-0.910299\pi\)
0.721109 + 0.692822i \(0.243633\pi\)
\(522\) −0.220844 + 0.548808i −0.00966609 + 0.0240207i
\(523\) 11.7895 + 6.80668i 0.515519 + 0.297635i 0.735100 0.677959i \(-0.237135\pi\)
−0.219580 + 0.975594i \(0.570469\pi\)
\(524\) 6.32520 10.9556i 0.276318 0.478596i
\(525\) 7.58506 10.7339i 0.331039 0.468467i
\(526\) 13.7817 + 7.95686i 0.600910 + 0.346936i
\(527\) −81.1044 −3.53296
\(528\) −3.99607 + 4.60343i −0.173907 + 0.200338i
\(529\) −4.99491 8.65143i −0.217170 0.376149i
\(530\) 3.55364 6.15509i 0.154360 0.267360i
\(531\) −3.88549 + 0.551590i −0.168616 + 0.0239370i
\(532\) −5.33380 7.41911i −0.231250 0.321659i
\(533\) 4.85414 + 9.70054i 0.210256 + 0.420177i
\(534\) 23.6754 8.17053i 1.02453 0.353573i
\(535\) 0.512208 0.0221447
\(536\) 5.52864i 0.238801i
\(537\) 2.81236 14.5223i 0.121362 0.626685i
\(538\) 15.4992 0.668218
\(539\) 24.1480 4.88086i 1.04013 0.210234i
\(540\) 3.45848 + 6.75272i 0.148829 + 0.290591i
\(541\) 3.38852 1.95636i 0.145684 0.0841105i −0.425386 0.905012i \(-0.639862\pi\)
0.571070 + 0.820901i \(0.306528\pi\)
\(542\) 7.49829 + 12.9874i 0.322079 + 0.557858i
\(543\) −8.38938 + 43.3207i −0.360023 + 1.85907i
\(544\) 3.79359 6.57069i 0.162649 0.281716i
\(545\) −13.6992 −0.586809
\(546\) 12.9014 + 10.3224i 0.552130 + 0.441760i
\(547\) −10.8125 −0.462308 −0.231154 0.972917i \(-0.574250\pi\)
−0.231154 + 0.972917i \(0.574250\pi\)
\(548\) 0.625790 1.08390i 0.0267324 0.0463019i
\(549\) 1.11955 2.78212i 0.0477810 0.118738i
\(550\) −5.04717 8.74195i −0.215212 0.372758i
\(551\) −0.589787 + 0.340514i −0.0251258 + 0.0145064i
\(552\) −4.71786 4.09541i −0.200805 0.174312i
\(553\) −0.539446 0.750348i −0.0229396 0.0319080i
\(554\) −0.719351 −0.0305623
\(555\) 13.8162 + 2.67561i 0.586465 + 0.113573i
\(556\) 10.0276i 0.425267i
\(557\) 23.2398 0.984703 0.492351 0.870396i \(-0.336137\pi\)
0.492351 + 0.870396i \(0.336137\pi\)
\(558\) −4.50738 31.7507i −0.190812 1.34411i
\(559\) 33.7751 + 22.2847i 1.42853 + 0.942541i
\(560\) 0.384576 + 3.84385i 0.0162513 + 0.162432i
\(561\) 15.0882 + 43.7205i 0.637026 + 1.84588i
\(562\) 3.65224 6.32587i 0.154060 0.266841i
\(563\) 5.93878 + 10.2863i 0.250290 + 0.433515i 0.963606 0.267328i \(-0.0861408\pi\)
−0.713316 + 0.700843i \(0.752807\pi\)
\(564\) −16.7325 14.5249i −0.704566 0.611609i
\(565\) −8.48913 −0.357141
\(566\) −12.9252 7.46234i −0.543285 0.313666i
\(567\) −18.7314 14.7015i −0.786645 0.617406i
\(568\) −5.33718 + 9.24427i −0.223943 + 0.387881i
\(569\) 1.67254 + 0.965640i 0.0701164 + 0.0404817i 0.534648 0.845075i \(-0.320444\pi\)
−0.464532 + 0.885556i \(0.653777\pi\)
\(570\) −1.66056 + 8.57474i −0.0695533 + 0.359156i
\(571\) 6.46083 11.1905i 0.270377 0.468307i −0.698581 0.715531i \(-0.746185\pi\)
0.968958 + 0.247224i \(0.0795182\pi\)
\(572\) 11.3482 5.67861i 0.474490 0.237435i
\(573\) 6.82502 35.2427i 0.285119 1.47229i
\(574\) −0.792412 7.92018i −0.0330746 0.330582i
\(575\) 8.95926 5.17263i 0.373627 0.215714i
\(576\) 2.78311 + 1.11994i 0.115963 + 0.0466643i
\(577\) −18.9813 + 32.8766i −0.790203 + 1.36867i 0.135638 + 0.990758i \(0.456692\pi\)
−0.925841 + 0.377913i \(0.876642\pi\)
\(578\) −20.2826 35.1306i −0.843646 1.46124i
\(579\) −3.12396 + 16.1314i −0.129827 + 0.670397i
\(580\) 0.287918 0.0119552
\(581\) −0.982396 9.81907i −0.0407567 0.407364i
\(582\) 1.95218 + 5.65675i 0.0809205 + 0.234480i
\(583\) 14.8365 + 8.56588i 0.614467 + 0.354763i
\(584\) 2.94410 5.09933i 0.121828 0.211012i
\(585\) −1.28396 15.7410i −0.0530851 0.650811i
\(586\) −13.1158 + 7.57239i −0.541807 + 0.312813i
\(587\) 3.62595 2.09345i 0.149659 0.0864058i −0.423300 0.905989i \(-0.639129\pi\)
0.572960 + 0.819584i \(0.305795\pi\)
\(588\) −6.14751 10.4503i −0.253519 0.430962i
\(589\) 18.4591 31.9720i 0.760592 1.31738i
\(590\) 0.955007 + 1.65412i 0.0393170 + 0.0680991i
\(591\) −3.63231 10.5252i −0.149413 0.432948i
\(592\) 4.81918 2.78236i 0.198067 0.114354i
\(593\) −25.7814 + 14.8849i −1.05872 + 0.611250i −0.925077 0.379780i \(-0.876000\pi\)
−0.133639 + 0.991030i \(0.542666\pi\)
\(594\) −16.2771 + 8.33649i −0.667858 + 0.342050i
\(595\) 26.7156 + 12.0550i 1.09523 + 0.494209i
\(596\) 1.62311 + 2.81131i 0.0664852 + 0.115156i
\(597\) 2.07140 0.714853i 0.0847766 0.0292570i
\(598\) 5.81977 + 11.6303i 0.237988 + 0.475596i
\(599\) −14.8413 8.56865i −0.606401 0.350106i 0.165155 0.986268i \(-0.447188\pi\)
−0.771556 + 0.636162i \(0.780521\pi\)
\(600\) −3.25653 + 3.75148i −0.132947 + 0.153154i
\(601\) 17.6704 10.2020i 0.720790 0.416149i −0.0942531 0.995548i \(-0.530046\pi\)
0.815044 + 0.579400i \(0.196713\pi\)
\(602\) −17.3326 24.1089i −0.706423 0.982605i
\(603\) 6.19177 15.3868i 0.252148 0.626600i
\(604\) 9.28639i 0.377858i
\(605\) −1.75347 + 1.01236i −0.0712885 + 0.0411584i
\(606\) −13.1904 + 15.1952i −0.535823 + 0.617262i
\(607\) 10.6029i 0.430359i 0.976574 + 0.215180i \(0.0690337\pi\)
−0.976574 + 0.215180i \(0.930966\pi\)
\(608\) 1.72681 + 2.99093i 0.0700315 + 0.121298i
\(609\) −0.820620 + 0.378369i −0.0332532 + 0.0153323i
\(610\) −1.45957 −0.0590963
\(611\) 20.6406 + 41.2482i 0.835028 + 1.66872i
\(612\) 17.9168 14.0384i 0.724244 0.567468i
\(613\) 22.8515i 0.922964i −0.887150 0.461482i \(-0.847318\pi\)
0.887150 0.461482i \(-0.152682\pi\)
\(614\) 0.144642 0.250527i 0.00583727 0.0101104i
\(615\) −4.98751 + 5.74555i −0.201116 + 0.231683i
\(616\) −9.26540 + 0.927001i −0.373314 + 0.0373500i
\(617\) −2.03229 + 3.52003i −0.0818170 + 0.141711i −0.904030 0.427468i \(-0.859406\pi\)
0.822213 + 0.569179i \(0.192739\pi\)
\(618\) −6.16952 + 31.8579i −0.248174 + 1.28151i
\(619\) −5.71042 + 9.89074i −0.229521 + 0.397542i −0.957666 0.287881i \(-0.907049\pi\)
0.728145 + 0.685423i \(0.240383\pi\)
\(620\) −13.5168 + 7.80394i −0.542849 + 0.313414i
\(621\) −8.54372 16.6817i −0.342848 0.669415i
\(622\) −5.96970 10.3398i −0.239363 0.414589i
\(623\) 34.8719 + 15.7354i 1.39711 + 0.630427i
\(624\) −4.46365 4.36759i −0.178689 0.174843i
\(625\) 1.21656 + 2.10715i 0.0486624 + 0.0842858i
\(626\) 9.18334i 0.367040i
\(627\) −20.6690 4.00270i −0.825439 0.159853i
\(628\) 18.7414i 0.747864i
\(629\) 42.2205i 1.68344i
\(630\) −3.23457 + 11.1286i −0.128869 + 0.443373i
\(631\) −2.43600 1.40642i −0.0969755 0.0559888i 0.450728 0.892661i \(-0.351164\pi\)
−0.547703 + 0.836673i \(0.684498\pi\)
\(632\) 0.174645 + 0.302494i 0.00694700 + 0.0120326i
\(633\) −7.05824 20.4523i −0.280540 0.812907i
\(634\) −23.0241 −0.914405
\(635\) 19.9266 + 11.5046i 0.790763 + 0.456547i
\(636\) 1.60297 8.27732i 0.0635618 0.328217i
\(637\) 3.51701 + 24.9926i 0.139349 + 0.990243i
\(638\) 0.694013i 0.0274762i
\(639\) −25.2070 + 19.7505i −0.997175 + 0.781318i
\(640\) 1.46009i 0.0577151i
\(641\) 19.9139 11.4973i 0.786552 0.454116i −0.0521953 0.998637i \(-0.516622\pi\)
0.838747 + 0.544521i \(0.183289\pi\)
\(642\) 0.574372 0.198220i 0.0226686 0.00782310i
\(643\) 5.08228 8.80277i 0.200426 0.347147i −0.748240 0.663428i \(-0.769101\pi\)
0.948666 + 0.316281i \(0.102434\pi\)
\(644\) −0.950045 9.49572i −0.0374370 0.374184i
\(645\) −5.39611 + 27.8642i −0.212472 + 1.09715i
\(646\) 26.2033 1.03095
\(647\) −42.4942 −1.67062 −0.835309 0.549780i \(-0.814712\pi\)
−0.835309 + 0.549780i \(0.814712\pi\)
\(648\) 6.49145 + 6.23386i 0.255008 + 0.244889i
\(649\) −3.98718 + 2.30200i −0.156510 + 0.0903613i
\(650\) 9.24798 4.62768i 0.362736 0.181513i
\(651\) 28.2698 40.0058i 1.10798 1.56795i
\(652\) 0.787553 0.454694i 0.0308430 0.0178072i
\(653\) −18.7413 10.8203i −0.733404 0.423431i 0.0862619 0.996272i \(-0.472508\pi\)
−0.819666 + 0.572841i \(0.805841\pi\)
\(654\) −15.3618 + 5.30145i −0.600693 + 0.207303i
\(655\) −15.9961 9.23536i −0.625020 0.360855i
\(656\) 3.00849i 0.117462i
\(657\) 13.9047 10.8948i 0.542475 0.425046i
\(658\) −3.36946 33.6778i −0.131355 1.31290i
\(659\) −4.44211 2.56466i −0.173040 0.0999048i 0.410978 0.911645i \(-0.365187\pi\)
−0.584019 + 0.811740i \(0.698520\pi\)
\(660\) 6.72142 + 5.83463i 0.261631 + 0.227113i
\(661\) 23.9481 0.931472 0.465736 0.884924i \(-0.345790\pi\)
0.465736 + 0.884924i \(0.345790\pi\)
\(662\) 20.4980 + 11.8345i 0.796676 + 0.459961i
\(663\) −45.6313 + 12.7605i −1.77217 + 0.495575i
\(664\) 3.72979i 0.144744i
\(665\) −10.8326 + 7.78784i −0.420069 + 0.301999i
\(666\) 16.5284 2.34640i 0.640463 0.0909212i
\(667\) −0.711265 −0.0275403
\(668\) −11.6602 6.73204i −0.451148 0.260471i
\(669\) 4.27799 + 12.3961i 0.165397 + 0.479262i
\(670\) −8.07231 −0.311861
\(671\) 3.51822i 0.135819i
\(672\) 1.91878 + 4.16152i 0.0740186 + 0.160534i
\(673\) −8.33251 14.4323i −0.321195 0.556326i 0.659540 0.751669i \(-0.270751\pi\)
−0.980735 + 0.195344i \(0.937418\pi\)
\(674\) −9.57684 + 16.5876i −0.368886 + 0.638930i
\(675\) −13.2647 + 6.79367i −0.510560 + 0.261489i
\(676\) 5.11430 + 11.9517i 0.196704 + 0.459682i
\(677\) −18.1468 31.4312i −0.697439 1.20800i −0.969352 0.245678i \(-0.920989\pi\)
0.271913 0.962322i \(-0.412344\pi\)
\(678\) −9.51941 + 3.28521i −0.365591 + 0.126168i
\(679\) −3.75966 + 8.33193i −0.144283 + 0.319750i
\(680\) −9.59380 5.53898i −0.367905 0.212410i
\(681\) 41.6808 14.3843i 1.59721 0.551209i
\(682\) −18.8110 32.5816i −0.720311 1.24762i
\(683\) 18.2874 + 31.6746i 0.699747 + 1.21200i 0.968554 + 0.248803i \(0.0800371\pi\)
−0.268808 + 0.963194i \(0.586630\pi\)
\(684\) 1.45625 + 10.2580i 0.0556809 + 0.392225i
\(685\) −1.58259 0.913710i −0.0604677 0.0349110i
\(686\) 4.12197 18.0557i 0.157377 0.689371i
\(687\) −6.23134 18.0563i −0.237741 0.688890i
\(688\) 5.61139 + 9.71922i 0.213932 + 0.370542i
\(689\) −9.66561 + 14.6494i −0.368230 + 0.558098i
\(690\) −5.97967 + 6.88850i −0.227642 + 0.262241i
\(691\) 8.73134 15.1231i 0.332156 0.575311i −0.650778 0.759268i \(-0.725557\pi\)
0.982934 + 0.183957i \(0.0588907\pi\)
\(692\) −5.08435 8.80635i −0.193278 0.334767i
\(693\) −26.8249 7.79678i −1.01899 0.296175i
\(694\) 31.7120i 1.20377i
\(695\) 14.6413 0.555375
\(696\) 0.322861 0.111422i 0.0122380 0.00422343i
\(697\) 19.7679 + 11.4130i 0.748761 + 0.432297i
\(698\) −7.75670 −0.293595
\(699\) −11.6974 + 4.03687i −0.442438 + 0.152688i
\(700\) −7.55068 + 0.755444i −0.285389 + 0.0285531i
\(701\) 42.7684i 1.61534i 0.589635 + 0.807670i \(0.299272\pi\)
−0.589635 + 0.807670i \(0.700728\pi\)
\(702\) −7.53141 17.1545i −0.284255 0.647456i
\(703\) 16.6436 + 9.60922i 0.627727 + 0.362418i
\(704\) 3.51948 0.132645
\(705\) −21.2077 + 24.4310i −0.798727 + 0.920124i
\(706\) 0.491689 + 0.283877i 0.0185050 + 0.0106838i
\(707\) −30.5836 + 3.05988i −1.15021 + 0.115079i
\(708\) 1.71104 + 1.48529i 0.0643048 + 0.0558207i
\(709\) 36.5874i 1.37407i 0.726626 + 0.687033i \(0.241087\pi\)
−0.726626 + 0.687033i \(0.758913\pi\)
\(710\) 13.4975 + 7.79277i 0.506551 + 0.292457i
\(711\) 0.147281 + 1.03747i 0.00552345 + 0.0389081i
\(712\) −12.5228 7.23003i −0.469311 0.270957i
\(713\) 33.3916 19.2786i 1.25052 0.721990i
\(714\) 34.6231 + 3.17939i 1.29574 + 0.118986i
\(715\) −8.29128 16.5693i −0.310076 0.619658i
\(716\) −7.39608 + 4.27013i −0.276404 + 0.159582i
\(717\) −12.4552 2.41205i −0.465149 0.0900796i
\(718\) 6.25812 0.233551
\(719\) 19.0766 0.711439 0.355719 0.934593i \(-0.384236\pi\)
0.355719 + 0.934593i \(0.384236\pi\)
\(720\) 1.63522 4.06360i 0.0609410 0.151441i
\(721\) −40.2464 + 28.9343i −1.49886 + 1.07757i
\(722\) 3.53624 6.12495i 0.131605 0.227947i
\(723\) 9.84686 + 28.5328i 0.366209 + 1.06115i
\(724\) 22.0628 12.7380i 0.819957 0.473402i
\(725\) 0.565574i 0.0210049i
\(726\) −1.57450 + 1.81380i −0.0584351 + 0.0673165i
\(727\) 9.70964i 0.360111i 0.983656 + 0.180055i \(0.0576277\pi\)
−0.983656 + 0.180055i \(0.942372\pi\)
\(728\) −0.382294 9.53173i −0.0141688 0.353269i
\(729\) 11.0849 + 24.6196i 0.410551 + 0.911838i
\(730\) −7.44549 4.29865i −0.275570 0.159100i
\(731\) 85.1493 3.14936
\(732\) −1.63671 + 0.564840i −0.0604945 + 0.0208771i
\(733\) −16.1353 27.9472i −0.595972 1.03225i −0.993409 0.114624i \(-0.963434\pi\)
0.397437 0.917629i \(-0.369900\pi\)
\(734\) 18.6936 + 10.7928i 0.689995 + 0.398369i
\(735\) −15.2583 + 8.97592i −0.562812 + 0.331082i
\(736\) 3.60696i 0.132954i
\(737\) 19.4579i 0.716741i
\(738\) −3.36934 + 8.37297i −0.124027 + 0.308213i
\(739\) 22.4830i 0.827050i −0.910493 0.413525i \(-0.864297\pi\)
0.910493 0.413525i \(-0.135703\pi\)
\(740\) −4.06249 7.03645i −0.149340 0.258665i
\(741\) 5.35523 20.8925i 0.196729 0.767503i
\(742\) 10.4568 7.51772i 0.383883 0.275984i
\(743\) −19.9808 34.6077i −0.733023 1.26963i −0.955585 0.294715i \(-0.904775\pi\)
0.222562 0.974919i \(-0.428558\pi\)
\(744\) −12.1372 + 13.9819i −0.444973 + 0.512603i
\(745\) 4.10476 2.36989i 0.150387 0.0868259i
\(746\) 0.378056 0.654812i 0.0138416 0.0239744i
\(747\) −4.17716 + 10.3804i −0.152834 + 0.379800i
\(748\) 13.3514 23.1254i 0.488177 0.845548i
\(749\) 0.846003 + 0.381747i 0.0309123 + 0.0139487i
\(750\) 15.0264 + 13.0439i 0.548686 + 0.476295i
\(751\) −15.6040 + 27.0270i −0.569399 + 0.986228i 0.427227 + 0.904145i \(0.359491\pi\)
−0.996625 + 0.0820832i \(0.973843\pi\)
\(752\) 12.7926i 0.466497i
\(753\) −14.5179 + 16.7245i −0.529062 + 0.609473i
\(754\) −0.709723 0.0423724i −0.0258466 0.00154311i
\(755\) −13.5590 −0.493462
\(756\) 0.679514 + 13.7309i 0.0247137 + 0.499389i
\(757\) −0.452106 0.783071i −0.0164321 0.0284612i 0.857692 0.514163i \(-0.171897\pi\)
−0.874125 + 0.485702i \(0.838564\pi\)
\(758\) 7.22959i 0.262591i
\(759\) −16.6044 14.4137i −0.602701 0.523184i
\(760\) 4.36702 2.52130i 0.158409 0.0914572i
\(761\) 41.8084i 1.51555i −0.652515 0.757776i \(-0.726286\pi\)
0.652515 0.757776i \(-0.273714\pi\)
\(762\) 26.7972 + 5.18947i 0.970759 + 0.187995i
\(763\) −22.6267 10.2100i −0.819140 0.369625i
\(764\) −17.9487 + 10.3627i −0.649363 + 0.374910i
\(765\) −20.4973 26.1601i −0.741081 0.945822i
\(766\) −1.16788 0.674277i −0.0421973 0.0243626i
\(767\) −2.11067 4.21798i −0.0762119 0.152302i
\(768\) −0.565041 1.63729i −0.0203892 0.0590807i
\(769\) 10.4819 + 18.1551i 0.377986 + 0.654691i 0.990769 0.135560i \(-0.0432834\pi\)
−0.612783 + 0.790251i \(0.709950\pi\)
\(770\) 1.35351 + 13.5283i 0.0487770 + 0.487527i
\(771\) −24.2366 + 27.9203i −0.872861 + 1.00552i
\(772\) 8.21554 4.74324i 0.295684 0.170713i
\(773\) 20.0435 11.5721i 0.720916 0.416221i −0.0941738 0.995556i \(-0.530021\pi\)
0.815090 + 0.579335i \(0.196688\pi\)
\(774\) 4.73217 + 33.3341i 0.170094 +