Properties

Label 546.2.bn.e.173.16
Level $546$
Weight $2$
Character 546.173
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 173.16
Character \(\chi\) \(=\) 546.173
Dual form 546.2.bn.e.101.16

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 0.189856 0.981812i \(-0.439198\pi\)
−0.755346 + 0.655326i \(0.772531\pi\)
\(6\) −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 0.120793 0.992678i \(-0.461456\pi\)
0.799288 0.600948i \(-0.205210\pi\)
\(18\) −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 −0.788970 0.614432i \(-0.789385\pi\)
0.137629 + 0.990484i \(0.456052\pi\)
\(24\) 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 0.515772 0.856726i \(-0.327505\pi\)
−0.484060 + 0.875035i \(0.660838\pi\)
\(30\) 0.480817 + 2.48282i 0.0877849 + 0.453299i
\(31\) −5.34484 9.25753i −0.959961 1.66270i −0.722584 0.691283i \(-0.757046\pi\)
−0.237377 0.971418i \(-0.576288\pi\)
\(32\) −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 −0.840761 0.541407i \(-0.817892\pi\)
0.0484917 + 0.998824i \(0.484559\pi\)
\(38\) 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 0.689457 0.724327i \(-0.257849\pi\)
−0.282557 + 0.959250i \(0.591183\pi\)
\(42\) 2.64459 + 3.74248i 0.408070 + 0.577476i
\(43\) 5.61139 + 9.71922i 0.855730 + 1.48217i 0.875967 + 0.482372i \(0.160225\pi\)
−0.0202369 + 0.999795i \(0.506442\pi\)
\(44\) −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 0.987942 + 0.154822i \(0.0494803\pi\)
0.628051 + 0.778172i \(0.283853\pi\)
\(48\) −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 −0.181705 0.983353i \(-0.558162\pi\)
0.760756 + 0.649038i \(0.224828\pi\)
\(54\) −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 0.424439 0.905456i \(-0.360471\pi\)
−0.571929 + 0.820303i \(0.693805\pi\)
\(60\) 1.90978 1.65781i 0.246551 0.214023i
\(61\) 0.999644i 0.127991i 0.997950 + 0.0639956i \(0.0203844\pi\)
−0.997950 + 0.0639956i \(0.979616\pi\)
\(62\) −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 \(0.109654\pi\)
−0.941248 + 0.337715i \(0.890346\pi\)
\(68\) 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 −0.986850 0.161637i \(-0.948323\pi\)
0.353443 0.935456i \(-0.385011\pi\)
\(72\) 2.78311 1.11994i 0.327993 0.131987i
\(73\) 2.94410 + 5.09933i 0.344581 + 0.596832i 0.985278 0.170963i \(-0.0546877\pi\)
−0.640697 + 0.767794i \(0.721354\pi\)
\(74\) 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 −0.856034 0.516920i \(-0.827078\pi\)
0.875683 + 0.482887i \(0.160412\pi\)
\(80\) 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 \(-0.934379\pi\)
0.978825 0.204699i \(-0.0656215\pi\)
\(84\) 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 −0.984899 0.173131i \(-0.944612\pi\)
−0.342513 + 0.939513i \(0.611278\pi\)
\(90\) 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 0.940299 0.340350i \(-0.110545\pi\)
−0.764901 + 0.644148i \(0.777212\pi\)
\(98\) −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 0.991741 + 0.128257i \(0.0409381\pi\)
0.606944 + 0.794745i \(0.292395\pi\)
\(104\) −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 −0.514613 0.857422i \(-0.672064\pi\)
0.485243 + 0.874379i \(0.338731\pi\)
\(108\) 0.261103 + 5.18959i 0.0251246 + 0.499368i
\(109\) 8.12542 4.69121i 0.778274 0.449337i −0.0575444 0.998343i \(-0.518327\pi\)
0.835818 + 0.549006i \(0.184994\pi\)
\(110\) 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 −0.244105 0.969749i \(-0.578494\pi\)
0.717774 + 0.696276i \(0.245161\pi\)
\(114\) 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 0.269567 + 0.962982i \(0.413120\pi\)
−0.968750 + 0.248039i \(0.920214\pi\)
\(128\) −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 −0.445448 0.895308i \(-0.646956\pi\)
0.998083 0.0618843i \(-0.0197110\pi\)
\(132\) −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 −0.838054 0.545587i \(-0.816307\pi\)
0.891519 + 0.452983i \(0.149640\pi\)
\(138\) 5.90566 + 2.03808i 0.502723 + 0.173493i
\(139\) −8.68419 + 5.01382i −0.736583 + 0.425267i −0.820826 0.571179i \(-0.806486\pi\)
0.0842424 + 0.996445i \(0.473153\pi\)
\(140\) −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 −0.135697 0.990750i \(-0.543327\pi\)
0.790166 + 0.612892i \(0.209994\pi\)
\(152\) −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 −0.979595 0.200981i \(-0.935587\pi\)
−0.315743 + 0.948845i \(0.602254\pi\)
\(158\) −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 \(-0.988661\pi\)
0.999366 0.0356144i \(-0.0113388\pi\)
\(164\) −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 0.877945 0.478762i \(-0.158914\pi\)
0.0243520 + 0.999703i \(0.492248\pi\)
\(168\) −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 \(0.103402\pi\)
−0.947699 + 0.319164i \(0.896598\pi\)
\(180\) 2.70157 3.44794i 0.201363 0.256994i
\(181\) 25.4759i 1.89361i −0.321810 0.946804i \(-0.604291\pi\)
0.321810 0.946804i \(-0.395709\pi\)
\(182\) 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 \(0.269860\pi\)
−0.661642 + 0.749819i \(0.730140\pi\)
\(192\) 1.70046 0.329307i 0.122720 0.0237657i
\(193\) 9.48648i 0.682852i −0.939909 0.341426i \(-0.889090\pi\)
0.939909 0.341426i \(-0.110910\pi\)
\(194\) 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 −0.957513 0.288391i \(-0.906880\pi\)
0.728510 + 0.685035i \(0.240213\pi\)
\(198\) −8.31109 6.51200i −0.590644 0.462788i
\(199\) 1.09564 + 0.632567i 0.0776678 + 0.0448415i 0.538331 0.842734i \(-0.319055\pi\)
−0.460663 + 0.887575i \(0.652388\pi\)
\(200\) −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 −0.996871 0.0790492i \(-0.974812\pi\)
0.566894 + 0.823791i \(0.308145\pi\)
\(212\) 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 −0.710987 0.703205i \(-0.751752\pi\)
0.964487 + 0.264131i \(0.0850850\pi\)
\(224\) 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 0.999161 0.0409469i \(-0.0130374\pi\)
0.464120 + 0.885773i \(0.346371\pi\)
\(228\) 1.95144 5.65459i 0.129237 0.374485i
\(229\) −5.51406 + 9.55063i −0.364379 + 0.631124i −0.988676 0.150063i \(-0.952052\pi\)
0.624297 + 0.781187i \(0.285386\pi\)
\(230\) −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 0.283447 0.958988i \(-0.408522\pi\)
−0.688785 + 0.724966i \(0.741855\pi\)
\(234\) −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 −0.436105 0.899896i \(-0.643643\pi\)
0.997385 0.0722695i \(-0.0230242\pi\)
\(242\) −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 0.590614 0.806954i \(-0.298886\pi\)
−0.994150 + 0.108010i \(0.965552\pi\)
\(252\) 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 −0.979078 0.203487i \(-0.934772\pi\)
0.313314 0.949650i \(-0.398561\pi\)
\(258\) 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 \(0.163237\pi\)
−0.871362 + 0.490641i \(0.836763\pi\)
\(264\) 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 −0.999505 0.0314670i \(-0.989982\pi\)
0.527004 + 0.849863i \(0.323315\pi\)
\(270\) 4.11879 + 6.37149i 0.250662 + 0.387757i
\(271\) 7.49829 + 12.9874i 0.455489 + 0.788930i 0.998716 0.0506559i \(-0.0161312\pi\)
−0.543227 + 0.839586i \(0.682798\pi\)
\(272\) −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 −0.855018 0.518599i \(-0.826454\pi\)
0.876629 + 0.481168i \(0.159787\pi\)
\(278\) 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 \(-0.853705\pi\)
0.896230 0.443590i \(-0.146295\pi\)
\(284\) 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 −0.0652973 0.997866i \(-0.520800\pi\)
0.831529 + 0.555482i \(0.187466\pi\)
\(294\) −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 0.645642 0.763640i \(-0.276590\pi\)
−0.984153 + 0.177322i \(0.943256\pi\)
\(312\) −1.55061 6.04943i −0.0877862 0.342482i
\(313\) −7.95301 4.59167i −0.449530 0.259537i 0.258101 0.966118i \(-0.416903\pi\)
−0.707632 + 0.706581i \(0.750236\pi\)
\(314\) 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 −0.337352 0.941379i \(-0.609531\pi\)
0.983934 0.178534i \(-0.0571356\pi\)
\(318\) −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 \(0.225434\pi\)
−0.759521 + 0.650483i \(0.774566\pi\)
\(332\) 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 0.999581 0.0289382i \(-0.00921259\pi\)
0.474729 + 0.880132i \(0.342546\pi\)
\(348\) −0.257925 + 0.223895i −0.0138262 + 0.0120020i
\(349\) 3.87835 6.71749i 0.207603 0.359579i −0.743356 0.668896i \(-0.766767\pi\)
0.950959 + 0.309317i \(0.100100\pi\)
\(350\) 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 \(0.00480960\pi\)
−0.999886 + 0.0151092i \(0.995190\pi\)
\(354\) 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 −0.936707 0.350115i \(-0.886143\pi\)
0.771562 + 0.636155i \(0.219476\pi\)
\(360\) −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 \(0.190499\pi\)
−0.826199 + 0.563378i \(0.809501\pi\)
\(368\) 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 0.652108 0.758126i \(-0.273885\pi\)
−0.330502 + 0.943805i \(0.607218\pi\)
\(380\) −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 \(-0.989031\pi\)
0.999406 0.0344540i \(-0.0109692\pi\)
\(384\) −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 −0.403196 0.915114i \(-0.632101\pi\)
0.590914 + 0.806734i \(0.298767\pi\)
\(390\) 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 0.998363 + 0.0571984i \(0.0182168\pi\)
−0.449646 + 0.893207i \(0.648450\pi\)
\(402\) 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 −0.951287 0.308308i \(-0.900237\pi\)
0.742646 + 0.669684i \(0.233571\pi\)
\(410\) −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 −0.381924 0.924194i \(-0.624738\pi\)
0.991337 0.131341i \(-0.0419282\pi\)
\(420\) −5.46435 + 3.86135i −0.266633 + 0.188414i
\(421\) 23.2628i 1.13376i −0.823800 0.566881i \(-0.808150\pi\)
0.823800 0.566881i \(-0.191850\pi\)
\(422\) 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 −0.757948 0.652315i \(-0.773798\pi\)
0.185948 + 0.982560i \(0.440464\pi\)
\(434\) 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 −0.226789 0.973944i \(-0.572823\pi\)
0.730066 + 0.683377i \(0.239489\pi\)
\(440\) −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 0.545417 0.838165i \(-0.316371\pi\)
−0.453163 + 0.891428i \(0.649704\pi\)
\(444\) −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 0.943564 0.331190i \(-0.107450\pi\)
−0.758601 + 0.651555i \(0.774117\pi\)
\(450\) −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 −0.626641 0.779308i \(-0.715571\pi\)
0.361580 + 0.932341i \(0.382237\pi\)
\(458\) 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 0.0538925 0.998547i \(-0.482837\pi\)
0.891713 + 0.452601i \(0.149504\pi\)
\(462\) 9.30759 + 13.1716i 0.433028 + 0.612796i
\(463\) 37.3356i 1.73513i −0.497321 0.867567i \(-0.665683\pi\)
0.497321 0.867567i \(-0.334317\pi\)
\(464\) 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 −0.933337 0.359001i \(-0.883118\pi\)
0.777572 + 0.628793i \(0.216451\pi\)
\(468\) 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 \(-0.904405\pi\)
0.955242 0.295825i \(-0.0955946\pi\)
\(480\) 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 0.660488 0.750837i \(-0.270350\pi\)
−0.320000 + 0.947417i \(0.603683\pi\)
\(488\) 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 0.128140 0.991756i \(-0.459099\pi\)
−0.794816 + 0.606851i \(0.792433\pi\)
\(492\) −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 −0.0243156 0.999704i \(-0.507741\pi\)
−0.877927 + 0.478794i \(0.841074\pi\)
\(500\) −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 0.753161 0.657836i \(-0.228528\pi\)
−0.946283 + 0.323338i \(0.895195\pi\)
\(504\) −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 −0.384863 0.922974i \(-0.625751\pi\)
0.606887 + 0.794788i \(0.292418\pi\)
\(510\) 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 0.721109 0.692822i \(-0.243633\pi\)
−0.960556 + 0.278088i \(0.910299\pi\)
\(522\) −0.220844 0.548808i −0.00966609 0.0240207i
\(523\) 11.7895 6.80668i 0.515519 0.297635i −0.219580 0.975594i \(-0.570469\pi\)
0.735100 + 0.677959i \(0.237135\pi\)
\(524\) 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 0.571070 0.820901i \(-0.306528\pi\)
−0.425386 + 0.905012i \(0.639862\pi\)
\(542\) 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 −0.713316 0.700843i \(-0.752807\pi\)
0.963606 + 0.267328i \(0.0861408\pi\)
\(564\) −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 −0.464532 0.885556i \(-0.653777\pi\)
0.534648 + 0.845075i \(0.320444\pi\)
\(570\) −1.66056 8.57474i −0.0695533 0.359156i
\(571\) 6.46083 + 11.1905i 0.270377 + 0.468307i 0.968958 0.247224i \(-0.0795182\pi\)
−0.698581 + 0.715531i \(0.746185\pi\)
\(572\) 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 −0.925841 0.377913i \(-0.876642\pi\)
0.135638 0.990758i \(-0.456692\pi\)
\(578\) −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 0.572960 0.819584i \(-0.305795\pi\)
−0.423300 + 0.905989i \(0.639129\pi\)
\(588\) −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 −0.133639 0.991030i \(-0.542666\pi\)
−0.925077 + 0.379780i \(0.876000\pi\)
\(594\) −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 −0.771556 0.636162i \(-0.780521\pi\)
0.165155 + 0.986268i \(0.447188\pi\)
\(600\) −3.25653 3.75148i −0.132947 0.153154i
\(601\) 17.6704 + 10.2020i 0.720790 + 0.416149i 0.815044 0.579400i \(-0.196713\pi\)
−0.0942531 + 0.995548i \(0.530046\pi\)
\(602\) −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 \(-0.930966\pi\)
0.976574 0.215180i \(-0.0690337\pi\)
\(608\) 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 \(0.152682\pi\)
−0.887150 + 0.461482i \(0.847318\pi\)
\(614\) 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 0.822213 0.569179i \(-0.192739\pi\)
−0.904030 + 0.427468i \(0.859406\pi\)
\(618\) −6.16952 31.8579i −0.248174 1.28151i
\(619\) −5.71042 9.89074i −0.229521 0.397542i 0.728145 0.685423i \(-0.240383\pi\)
−0.957666 + 0.287881i \(0.907049\pi\)
\(620\) −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 −0.547703 0.836673i \(-0.684498\pi\)
0.450728 + 0.892661i \(0.351164\pi\)
\(632\) 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 0.838747 0.544521i \(-0.183289\pi\)
−0.0521953 + 0.998637i \(0.516622\pi\)
\(642\) 0.574372 + 0.198220i 0.0226686 + 0.00782310i
\(643\) 5.08228 + 8.80277i 0.200426 + 0.347147i 0.948666 0.316281i \(-0.102434\pi\)
−0.748240 + 0.663428i \(0.769101\pi\)
\(644\) −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 −0.819666 0.572841i \(-0.805841\pi\)
0.0862619 + 0.996272i \(0.472508\pi\)
\(654\) −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 −0.584019 0.811740i \(-0.698520\pi\)
0.410978 + 0.911645i \(0.365187\pi\)
\(660\) 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 −0.980735 0.195344i \(-0.937418\pi\)
0.659540 + 0.751669i \(0.270751\pi\)
\(674\) −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 0.271913 + 0.962322i \(0.412344\pi\)
−0.969352 + 0.245678i \(0.920989\pi\)
\(678\) −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 −0.268808 0.963194i \(-0.586630\pi\)
0.968554 0.248803i \(-0.0800371\pi\)
\(684\) 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 0.982934 0.183957i \(-0.0588907\pi\)
−0.650778 + 0.759268i \(0.725557\pi\)
\(692\) −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 \(-0.700728\pi\)
0.589635 0.807670i \(-0.299272\pi\)
\(702\) −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 \(-0.758913\pi\)
0.726626 0.687033i \(-0.241087\pi\)
\(710\) 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 \(-0.942372\pi\)
0.983656 0.180055i \(-0.0576277\pi\)
\(728\) −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 0.397437 + 0.917629i \(0.369900\pi\)
−0.993409 + 0.114624i \(0.963434\pi\)
\(734\) 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 \(0.135703\pi\)
−0.910493 + 0.413525i \(0.864297\pi\)
\(740\) −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 0.222562 + 0.974919i \(0.428558\pi\)
−0.955585 + 0.294715i \(0.904775\pi\)
\(744\) −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 −0.996625 0.0820832i \(-0.973843\pi\)
0.427227 0.904145i \(-0.359491\pi\)
\(752\) 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 −0.874125 0.485702i \(-0.838564\pi\)
0.857692 + 0.514163i \(0.171897\pi\)
\(758\) 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 \(0.273714\pi\)
−0.652515 + 0.757776i \(0.726286\pi\)
\(762\) 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 −0.612783 0.790251i \(-0.709950\pi\)
0.990769 + 0.135560i \(0.0432834\pi\)
\(770\) 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 0.815090 0.579335i \(-0.196688\pi\)
−0.0941738 + 0.995556i \(0.530021\pi\)
\(774\) 4.73217 33.3341i 0.170094