Properties

Label 99.2.e.e.67.4
Level 99
Weight 2
Character 99.67
Analytic conductor 0.791
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: 8.0.508277025.1
Defining polynomial: \(x^{8} - 3 x^{7} + 5 x^{6} - 15 x^{5} + 21 x^{4} + 3 x^{3} - 22 x^{2} + 3 x + 19\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 67.4
Root \(1.86526 - 0.199842i\) of defining polynomial
Character \(\chi\) \(=\) 99.67
Dual form 99.2.e.e.34.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36526 + 2.36469i) q^{2} +(0.240440 - 1.71528i) q^{3} +(-2.72785 + 4.72478i) q^{4} +(0.468293 - 0.811107i) q^{5} +(4.38438 - 1.77323i) q^{6} +(0.259560 + 0.449571i) q^{7} -9.43585 q^{8} +(-2.88438 - 0.824844i) q^{9} +O(q^{10})\) \(q+(1.36526 + 2.36469i) q^{2} +(0.240440 - 1.71528i) q^{3} +(-2.72785 + 4.72478i) q^{4} +(0.468293 - 0.811107i) q^{5} +(4.38438 - 1.77323i) q^{6} +(0.259560 + 0.449571i) q^{7} -9.43585 q^{8} +(-2.88438 - 0.824844i) q^{9} +2.55736 q^{10} +(-0.500000 - 0.866025i) q^{11} +(7.44844 + 5.81506i) q^{12} +(2.35267 - 4.07494i) q^{13} +(-0.708733 + 1.22756i) q^{14} +(-1.27868 - 0.998277i) q^{15} +(-7.42666 - 12.8634i) q^{16} -2.69227 q^{17} +(-1.98741 - 7.94679i) q^{18} +3.41747 q^{19} +(2.55487 + 4.42516i) q^{20} +(0.833550 - 0.337124i) q^{21} +(1.36526 - 2.36469i) q^{22} +(-3.48741 + 6.04038i) q^{23} +(-2.26875 + 16.1851i) q^{24} +(2.06140 + 3.57046i) q^{25} +12.8480 q^{26} +(-2.10836 + 4.74919i) q^{27} -2.83217 q^{28} +(-2.09311 - 3.62537i) q^{29} +(0.614891 - 4.38659i) q^{30} +(-2.59311 + 4.49140i) q^{31} +(10.8427 - 18.7802i) q^{32} +(-1.60570 + 0.649414i) q^{33} +(-3.67564 - 6.36640i) q^{34} +0.486201 q^{35} +(11.7654 - 11.3780i) q^{36} +2.06874 q^{37} +(4.66572 + 8.08126i) q^{38} +(-6.42400 - 5.01527i) q^{39} +(-4.41875 + 7.65349i) q^{40} +(-0.0865763 + 0.149955i) q^{41} +(1.93520 + 1.51083i) q^{42} +(1.13474 + 1.96543i) q^{43} +5.45571 q^{44} +(-2.01977 + 1.95327i) q^{45} -19.0449 q^{46} +(0.153863 + 0.266499i) q^{47} +(-23.8499 + 9.64595i) q^{48} +(3.36526 - 5.82880i) q^{49} +(-5.62869 + 9.74918i) q^{50} +(-0.647330 + 4.61800i) q^{51} +(12.8355 + 22.2317i) q^{52} -1.89835 q^{53} +(-14.1088 + 1.49825i) q^{54} -0.936586 q^{55} +(-2.44917 - 4.24209i) q^{56} +(0.821695 - 5.86191i) q^{57} +(5.71527 - 9.89913i) q^{58} +(-1.98741 + 3.44230i) q^{59} +(8.20469 - 3.31833i) q^{60} +(-2.25956 - 3.91367i) q^{61} -14.1610 q^{62} +(-0.377844 - 1.51083i) q^{63} +29.5059 q^{64} +(-2.20348 - 3.81654i) q^{65} +(-3.72785 - 2.91037i) q^{66} +(-1.68823 + 2.92410i) q^{67} +(7.34413 - 12.7204i) q^{68} +(9.52243 + 7.43424i) q^{69} +(0.663789 + 1.14972i) q^{70} +2.90367 q^{71} +(27.2166 + 7.78310i) q^{72} +9.52444 q^{73} +(2.82436 + 4.89193i) q^{74} +(6.61998 - 2.67741i) q^{75} +(-9.32234 + 16.1468i) q^{76} +(0.259560 - 0.449571i) q^{77} +(3.08917 - 22.0379i) q^{78} +(1.02178 + 1.76978i) q^{79} -13.9114 q^{80} +(7.63927 + 4.75832i) q^{81} -0.472796 q^{82} +(-7.02970 - 12.1758i) q^{83} +(-0.680966 + 4.85797i) q^{84} +(-1.26077 + 2.18372i) q^{85} +(-3.09843 + 5.36664i) q^{86} +(-6.72180 + 2.71859i) q^{87} +(4.71793 + 8.17169i) q^{88} +7.53751 q^{89} +(-7.37640 - 2.10942i) q^{90} +2.44264 q^{91} +(-19.0263 - 32.9545i) q^{92} +(7.08052 + 5.52782i) q^{93} +(-0.420126 + 0.727680i) q^{94} +(1.60038 - 2.77193i) q^{95} +(-29.6063 - 23.1139i) q^{96} +(-8.16710 - 14.1458i) q^{97} +18.3778 q^{98} +(0.727853 + 2.91037i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - q^{2} + 5q^{3} - 11q^{4} - 4q^{5} + 17q^{6} - q^{7} - 5q^{9} + O(q^{10}) \) \( 8q - q^{2} + 5q^{3} - 11q^{4} - 4q^{5} + 17q^{6} - q^{7} - 5q^{9} + 2q^{10} - 4q^{11} - 2q^{12} - 7q^{13} - q^{14} - q^{15} - 17q^{16} - 10q^{17} - 2q^{18} + 18q^{19} + 10q^{20} - 13q^{21} - q^{22} - 14q^{23} + 18q^{24} - 14q^{25} + 44q^{26} + 5q^{27} - 2q^{28} + 6q^{29} - 37q^{30} + 2q^{31} + 34q^{32} - 4q^{33} - 16q^{34} - 16q^{35} + 11q^{36} + 6q^{37} - 3q^{38} - 22q^{39} - 12q^{40} + 2q^{41} - q^{42} + 21q^{43} + 22q^{44} + 49q^{45} + 4q^{46} + 7q^{47} - 59q^{48} + 15q^{49} - 23q^{50} - 31q^{51} + 10q^{52} - 12q^{53} - 37q^{54} + 8q^{55} - 18q^{56} + 33q^{57} + 21q^{58} - 2q^{59} + 73q^{60} - 15q^{61} - 40q^{62} - 5q^{63} + 32q^{64} - 19q^{65} - 19q^{66} - 14q^{67} + 7q^{68} - 2q^{69} + 38q^{70} - 6q^{71} + 75q^{72} + 44q^{73} + 36q^{74} + 10q^{75} - 42q^{76} - q^{77} + 29q^{78} - 11q^{79} - 68q^{80} + 7q^{81} - 34q^{82} - 18q^{83} + 34q^{84} - 13q^{85} + 24q^{86} - 9q^{87} - 12q^{89} - 80q^{90} + 38q^{91} - 67q^{92} + 20q^{93} + 19q^{94} + 30q^{95} - 50q^{96} - 26q^{97} + 30q^{98} - 5q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36526 + 2.36469i 0.965382 + 1.67209i 0.708584 + 0.705627i \(0.249334\pi\)
0.256799 + 0.966465i \(0.417332\pi\)
\(3\) 0.240440 1.71528i 0.138818 0.990318i
\(4\) −2.72785 + 4.72478i −1.36393 + 2.36239i
\(5\) 0.468293 0.811107i 0.209427 0.362738i −0.742107 0.670281i \(-0.766173\pi\)
0.951534 + 0.307543i \(0.0995068\pi\)
\(6\) 4.38438 1.77323i 1.78991 0.723919i
\(7\) 0.259560 + 0.449571i 0.0981045 + 0.169922i 0.910900 0.412627i \(-0.135389\pi\)
−0.812796 + 0.582549i \(0.802055\pi\)
\(8\) −9.43585 −3.33608
\(9\) −2.88438 0.824844i −0.961459 0.274948i
\(10\) 2.55736 0.808709
\(11\) −0.500000 0.866025i −0.150756 0.261116i
\(12\) 7.44844 + 5.81506i 2.15018 + 1.67866i
\(13\) 2.35267 4.07494i 0.652513 1.13019i −0.329998 0.943982i \(-0.607048\pi\)
0.982511 0.186205i \(-0.0596187\pi\)
\(14\) −0.708733 + 1.22756i −0.189417 + 0.328080i
\(15\) −1.27868 0.998277i −0.330154 0.257754i
\(16\) −7.42666 12.8634i −1.85667 3.21584i
\(17\) −2.69227 −0.652972 −0.326486 0.945202i \(-0.605865\pi\)
−0.326486 + 0.945202i \(0.605865\pi\)
\(18\) −1.98741 7.94679i −0.468438 1.87308i
\(19\) 3.41747 0.784020 0.392010 0.919961i \(-0.371780\pi\)
0.392010 + 0.919961i \(0.371780\pi\)
\(20\) 2.55487 + 4.42516i 0.571286 + 0.989497i
\(21\) 0.833550 0.337124i 0.181896 0.0735665i
\(22\) 1.36526 2.36469i 0.291074 0.504155i
\(23\) −3.48741 + 6.04038i −0.727176 + 1.25951i 0.230896 + 0.972978i \(0.425834\pi\)
−0.958072 + 0.286527i \(0.907499\pi\)
\(24\) −2.26875 + 16.1851i −0.463108 + 3.30378i
\(25\) 2.06140 + 3.57046i 0.412281 + 0.714091i
\(26\) 12.8480 2.51970
\(27\) −2.10836 + 4.74919i −0.405754 + 0.913983i
\(28\) −2.83217 −0.535230
\(29\) −2.09311 3.62537i −0.388681 0.673215i 0.603592 0.797294i \(-0.293736\pi\)
−0.992272 + 0.124079i \(0.960402\pi\)
\(30\) 0.614891 4.38659i 0.112263 0.800879i
\(31\) −2.59311 + 4.49140i −0.465736 + 0.806679i −0.999234 0.0391223i \(-0.987544\pi\)
0.533498 + 0.845801i \(0.320877\pi\)
\(32\) 10.8427 18.7802i 1.91674 3.31990i
\(33\) −1.60570 + 0.649414i −0.279516 + 0.113048i
\(34\) −3.67564 6.36640i −0.630368 1.09183i
\(35\) 0.486201 0.0821830
\(36\) 11.7654 11.3780i 1.96089 1.89633i
\(37\) 2.06874 0.340098 0.170049 0.985436i \(-0.445607\pi\)
0.170049 + 0.985436i \(0.445607\pi\)
\(38\) 4.66572 + 8.08126i 0.756880 + 1.31095i
\(39\) −6.42400 5.01527i −1.02866 0.803086i
\(40\) −4.41875 + 7.65349i −0.698665 + 1.21012i
\(41\) −0.0865763 + 0.149955i −0.0135209 + 0.0234190i −0.872707 0.488245i \(-0.837637\pi\)
0.859186 + 0.511664i \(0.170971\pi\)
\(42\) 1.93520 + 1.51083i 0.298609 + 0.233126i
\(43\) 1.13474 + 1.96543i 0.173047 + 0.299726i 0.939484 0.342594i \(-0.111306\pi\)
−0.766437 + 0.642320i \(0.777972\pi\)
\(44\) 5.45571 0.822479
\(45\) −2.01977 + 1.95327i −0.301090 + 0.291176i
\(46\) −19.0449 −2.80801
\(47\) 0.153863 + 0.266499i 0.0224433 + 0.0388729i 0.877029 0.480438i \(-0.159522\pi\)
−0.854586 + 0.519311i \(0.826189\pi\)
\(48\) −23.8499 + 9.64595i −3.44244 + 1.39227i
\(49\) 3.36526 5.82880i 0.480751 0.832685i
\(50\) −5.62869 + 9.74918i −0.796017 + 1.37874i
\(51\) −0.647330 + 4.61800i −0.0906443 + 0.646650i
\(52\) 12.8355 + 22.2317i 1.77996 + 3.08298i
\(53\) −1.89835 −0.260758 −0.130379 0.991464i \(-0.541619\pi\)
−0.130379 + 0.991464i \(0.541619\pi\)
\(54\) −14.1088 + 1.49825i −1.91997 + 0.203886i
\(55\) −0.936586 −0.126289
\(56\) −2.44917 4.24209i −0.327284 0.566873i
\(57\) 0.821695 5.86191i 0.108836 0.776429i
\(58\) 5.71527 9.89913i 0.750451 1.29982i
\(59\) −1.98741 + 3.44230i −0.258739 + 0.448149i −0.965904 0.258899i \(-0.916640\pi\)
0.707165 + 0.707048i \(0.249974\pi\)
\(60\) 8.20469 3.31833i 1.05922 0.428395i
\(61\) −2.25956 3.91367i −0.289307 0.501094i 0.684337 0.729165i \(-0.260092\pi\)
−0.973645 + 0.228071i \(0.926758\pi\)
\(62\) −14.1610 −1.79845
\(63\) −0.377844 1.51083i −0.0476038 0.190347i
\(64\) 29.5059 3.68824
\(65\) −2.20348 3.81654i −0.273308 0.473383i
\(66\) −3.72785 2.91037i −0.458867 0.358241i
\(67\) −1.68823 + 2.92410i −0.206250 + 0.357236i −0.950530 0.310632i \(-0.899459\pi\)
0.744280 + 0.667868i \(0.232793\pi\)
\(68\) 7.34413 12.7204i 0.890606 1.54257i
\(69\) 9.52243 + 7.43424i 1.14637 + 0.894977i
\(70\) 0.663789 + 1.14972i 0.0793380 + 0.137417i
\(71\) 2.90367 0.344602 0.172301 0.985044i \(-0.444880\pi\)
0.172301 + 0.985044i \(0.444880\pi\)
\(72\) 27.2166 + 7.78310i 3.20750 + 0.917248i
\(73\) 9.52444 1.11475 0.557376 0.830260i \(-0.311808\pi\)
0.557376 + 0.830260i \(0.311808\pi\)
\(74\) 2.82436 + 4.89193i 0.328325 + 0.568675i
\(75\) 6.61998 2.67741i 0.764409 0.309160i
\(76\) −9.32234 + 16.1468i −1.06935 + 1.85216i
\(77\) 0.259560 0.449571i 0.0295796 0.0512334i
\(78\) 3.08917 22.0379i 0.349780 2.49530i
\(79\) 1.02178 + 1.76978i 0.114959 + 0.199115i 0.917764 0.397127i \(-0.129993\pi\)
−0.802804 + 0.596243i \(0.796660\pi\)
\(80\) −13.9114 −1.55534
\(81\) 7.63927 + 4.75832i 0.848807 + 0.528702i
\(82\) −0.472796 −0.0522115
\(83\) −7.02970 12.1758i −0.771609 1.33647i −0.936681 0.350185i \(-0.886119\pi\)
0.165071 0.986282i \(-0.447215\pi\)
\(84\) −0.680966 + 4.85797i −0.0742995 + 0.530047i
\(85\) −1.26077 + 2.18372i −0.136750 + 0.236858i
\(86\) −3.09843 + 5.36664i −0.334112 + 0.578700i
\(87\) −6.72180 + 2.71859i −0.720653 + 0.291463i
\(88\) 4.71793 + 8.17169i 0.502933 + 0.871105i
\(89\) 7.53751 0.798974 0.399487 0.916739i \(-0.369188\pi\)
0.399487 + 0.916739i \(0.369188\pi\)
\(90\) −7.37640 2.10942i −0.777540 0.222353i
\(91\) 2.44264 0.256058
\(92\) −19.0263 32.9545i −1.98363 3.43575i
\(93\) 7.08052 + 5.52782i 0.734216 + 0.573209i
\(94\) −0.420126 + 0.727680i −0.0433327 + 0.0750545i
\(95\) 1.60038 2.77193i 0.164195 0.284394i
\(96\) −29.6063 23.1139i −3.02168 2.35905i
\(97\) −8.16710 14.1458i −0.829243 1.43629i −0.898633 0.438702i \(-0.855438\pi\)
0.0693892 0.997590i \(-0.477895\pi\)
\(98\) 18.3778 1.85643
\(99\) 0.727853 + 2.91037i 0.0731520 + 0.292503i
\(100\) −22.4928 −2.24928
\(101\) 4.99129 + 8.64516i 0.496652 + 0.860226i 0.999993 0.00386211i \(-0.00122935\pi\)
−0.503341 + 0.864088i \(0.667896\pi\)
\(102\) −11.8039 + 4.77403i −1.16876 + 0.472699i
\(103\) −3.27747 + 5.67674i −0.322939 + 0.559346i −0.981093 0.193537i \(-0.938004\pi\)
0.658154 + 0.752883i \(0.271337\pi\)
\(104\) −22.1995 + 38.4506i −2.17684 + 3.77039i
\(105\) 0.116902 0.833971i 0.0114085 0.0813873i
\(106\) −2.59173 4.48901i −0.251731 0.436011i
\(107\) 14.5151 1.40323 0.701614 0.712557i \(-0.252463\pi\)
0.701614 + 0.712557i \(0.252463\pi\)
\(108\) −16.6876 22.9166i −1.60577 2.20515i
\(109\) 11.6802 1.11876 0.559379 0.828912i \(-0.311040\pi\)
0.559379 + 0.828912i \(0.311040\pi\)
\(110\) −1.27868 2.21474i −0.121917 0.211167i
\(111\) 0.497406 3.54846i 0.0472117 0.336805i
\(112\) 3.85533 6.67763i 0.364295 0.630977i
\(113\) 0.603036 1.04449i 0.0567289 0.0982573i −0.836266 0.548323i \(-0.815266\pi\)
0.892995 + 0.450066i \(0.148600\pi\)
\(114\) 14.9835 6.05996i 1.40333 0.567567i
\(115\) 3.26626 + 5.65733i 0.304581 + 0.527549i
\(116\) 22.8388 2.12053
\(117\) −10.1472 + 9.81309i −0.938107 + 0.907221i
\(118\) −10.8533 −0.999129
\(119\) −0.698807 1.21037i −0.0640595 0.110954i
\(120\) 12.0654 + 9.41959i 1.10142 + 0.859887i
\(121\) −0.500000 + 0.866025i −0.0454545 + 0.0787296i
\(122\) 6.16976 10.6863i 0.558584 0.967496i
\(123\) 0.236398 + 0.184558i 0.0213153 + 0.0166410i
\(124\) −14.1472 24.5038i −1.27046 2.20050i
\(125\) 8.54429 0.764225
\(126\) 3.05680 2.95616i 0.272321 0.263355i
\(127\) −10.4533 −0.927579 −0.463789 0.885945i \(-0.653511\pi\)
−0.463789 + 0.885945i \(0.653511\pi\)
\(128\) 18.5976 + 32.2120i 1.64381 + 2.84717i
\(129\) 3.64411 1.47383i 0.320846 0.129764i
\(130\) 6.01663 10.4211i 0.527693 0.913991i
\(131\) 6.73051 11.6576i 0.588048 1.01853i −0.406440 0.913677i \(-0.633230\pi\)
0.994488 0.104851i \(-0.0334366\pi\)
\(132\) 1.31177 9.35807i 0.114175 0.814515i
\(133\) 0.887038 + 1.53640i 0.0769160 + 0.133222i
\(134\) −9.21948 −0.796442
\(135\) 2.86478 + 3.93412i 0.246561 + 0.338595i
\(136\) 25.4039 2.17837
\(137\) −10.4318 18.0684i −0.891250 1.54369i −0.838378 0.545089i \(-0.816496\pi\)
−0.0528716 0.998601i \(-0.516837\pi\)
\(138\) −4.57914 + 32.6673i −0.389802 + 2.78082i
\(139\) −0.433925 + 0.751581i −0.0368051 + 0.0637482i −0.883841 0.467787i \(-0.845051\pi\)
0.847036 + 0.531535i \(0.178385\pi\)
\(140\) −1.32628 + 2.29719i −0.112092 + 0.194148i
\(141\) 0.494116 0.199842i 0.0416121 0.0168297i
\(142\) 3.96425 + 6.86628i 0.332673 + 0.576206i
\(143\) −4.70534 −0.393480
\(144\) 10.8110 + 43.2286i 0.900920 + 3.60238i
\(145\) −3.92076 −0.325601
\(146\) 13.0033 + 22.5224i 1.07616 + 1.86397i
\(147\) −9.18888 7.17384i −0.757886 0.591688i
\(148\) −5.64321 + 9.77432i −0.463869 + 0.803444i
\(149\) −3.28272 + 5.68584i −0.268931 + 0.465802i −0.968586 0.248679i \(-0.920004\pi\)
0.699655 + 0.714481i \(0.253337\pi\)
\(150\) 15.3692 + 11.9989i 1.25489 + 0.979704i
\(151\) −6.32096 10.9482i −0.514393 0.890954i −0.999861 0.0166998i \(-0.994684\pi\)
0.485468 0.874255i \(-0.338649\pi\)
\(152\) −32.2467 −2.61555
\(153\) 7.76553 + 2.22070i 0.627806 + 0.179533i
\(154\) 1.41747 0.114223
\(155\) 2.42867 + 4.20658i 0.195076 + 0.337881i
\(156\) 41.2198 16.6711i 3.30022 1.33475i
\(157\) −7.00919 + 12.1403i −0.559395 + 0.968900i 0.438152 + 0.898901i \(0.355633\pi\)
−0.997547 + 0.0699992i \(0.977700\pi\)
\(158\) −2.78999 + 4.83240i −0.221960 + 0.384445i
\(159\) −0.456438 + 3.25620i −0.0361979 + 0.258233i
\(160\) −10.1552 17.5893i −0.802836 1.39055i
\(161\) −3.62078 −0.285357
\(162\) −0.822412 + 24.5609i −0.0646148 + 1.92968i
\(163\) −21.6245 −1.69376 −0.846881 0.531783i \(-0.821522\pi\)
−0.846881 + 0.531783i \(0.821522\pi\)
\(164\) −0.472335 0.818108i −0.0368832 0.0638835i
\(165\) −0.225193 + 1.60651i −0.0175312 + 0.125066i
\(166\) 19.1947 33.2462i 1.48980 2.58040i
\(167\) −2.51058 + 4.34844i −0.194274 + 0.336493i −0.946662 0.322227i \(-0.895568\pi\)
0.752388 + 0.658720i \(0.228902\pi\)
\(168\) −7.86526 + 3.18105i −0.606818 + 0.245423i
\(169\) −4.57012 7.91567i −0.351547 0.608898i
\(170\) −6.88512 −0.528064
\(171\) −9.85726 2.81887i −0.753804 0.215565i
\(172\) −12.3816 −0.944092
\(173\) −0.229066 0.396754i −0.0174155 0.0301646i 0.857186 0.515006i \(-0.172210\pi\)
−0.874602 + 0.484842i \(0.838877\pi\)
\(174\) −15.6056 12.1834i −1.18306 0.923624i
\(175\) −1.07012 + 1.85350i −0.0808932 + 0.140111i
\(176\) −7.42666 + 12.8634i −0.559806 + 0.969612i
\(177\) 5.42666 + 4.23664i 0.407893 + 0.318445i
\(178\) 10.2906 + 17.8239i 0.771316 + 1.33596i
\(179\) 9.19929 0.687587 0.343794 0.939045i \(-0.388288\pi\)
0.343794 + 0.939045i \(0.388288\pi\)
\(180\) −3.71914 14.8712i −0.277208 1.10843i
\(181\) 15.1557 1.12652 0.563258 0.826281i \(-0.309548\pi\)
0.563258 + 0.826281i \(0.309548\pi\)
\(182\) 3.33483 + 5.77609i 0.247194 + 0.428153i
\(183\) −7.25634 + 2.93478i −0.536404 + 0.216945i
\(184\) 32.9067 56.9961i 2.42592 4.20181i
\(185\) 0.968774 1.67797i 0.0712257 0.123367i
\(186\) −3.40488 + 24.2902i −0.249658 + 1.78104i
\(187\) 1.34614 + 2.33158i 0.0984393 + 0.170502i
\(188\) −1.67887 −0.122444
\(189\) −2.68235 + 0.284844i −0.195112 + 0.0207194i
\(190\) 8.73969 0.634044
\(191\) 10.4716 + 18.1373i 0.757699 + 1.31237i 0.944021 + 0.329884i \(0.107010\pi\)
−0.186323 + 0.982489i \(0.559657\pi\)
\(192\) 7.09439 50.6109i 0.511993 3.65253i
\(193\) 5.22446 9.04903i 0.376065 0.651364i −0.614421 0.788978i \(-0.710610\pi\)
0.990486 + 0.137615i \(0.0439436\pi\)
\(194\) 22.3004 38.6254i 1.60107 2.77314i
\(195\) −7.07624 + 2.86194i −0.506740 + 0.204948i
\(196\) 18.3599 + 31.8002i 1.31142 + 2.27144i
\(197\) −20.9855 −1.49515 −0.747576 0.664176i \(-0.768783\pi\)
−0.747576 + 0.664176i \(0.768783\pi\)
\(198\) −5.88842 + 5.69455i −0.418472 + 0.404694i
\(199\) −19.0502 −1.35043 −0.675216 0.737620i \(-0.735950\pi\)
−0.675216 + 0.737620i \(0.735950\pi\)
\(200\) −19.4511 33.6903i −1.37540 2.38226i
\(201\) 4.60974 + 3.59886i 0.325146 + 0.253844i
\(202\) −13.6288 + 23.6057i −0.958917 + 1.66089i
\(203\) 1.08658 1.88201i 0.0762627 0.132091i
\(204\) −20.0532 15.6557i −1.40401 1.09612i
\(205\) 0.0810862 + 0.140445i 0.00566330 + 0.00980913i
\(206\) −17.8983 −1.24704
\(207\) 15.0414 14.5462i 1.04545 1.01103i
\(208\) −69.8899 −4.84600
\(209\) −1.70873 2.95961i −0.118196 0.204721i
\(210\) 2.13169 0.862147i 0.147100 0.0594938i
\(211\) −8.14459 + 14.1068i −0.560697 + 0.971155i 0.436739 + 0.899588i \(0.356133\pi\)
−0.997436 + 0.0715668i \(0.977200\pi\)
\(212\) 5.17841 8.96926i 0.355654 0.616012i
\(213\) 0.698157 4.98060i 0.0478369 0.341265i
\(214\) 19.8168 + 34.3238i 1.35465 + 2.34632i
\(215\) 2.12557 0.144963
\(216\) 19.8942 44.8127i 1.35363 3.04912i
\(217\) −2.69227 −0.182763
\(218\) 15.9464 + 27.6200i 1.08003 + 1.87066i
\(219\) 2.29005 16.3371i 0.154748 1.10396i
\(220\) 2.55487 4.42516i 0.172249 0.298344i
\(221\) −6.33403 + 10.9709i −0.426073 + 0.737980i
\(222\) 9.07012 3.66835i 0.608746 0.246203i
\(223\) 4.52251 + 7.83322i 0.302850 + 0.524551i 0.976780 0.214244i \(-0.0687286\pi\)
−0.673930 + 0.738795i \(0.735395\pi\)
\(224\) 11.2574 0.752165
\(225\) −3.00080 11.9989i −0.200053 0.799925i
\(226\) 3.29320 0.219060
\(227\) 2.58585 + 4.47882i 0.171629 + 0.297269i 0.938989 0.343946i \(-0.111764\pi\)
−0.767361 + 0.641216i \(0.778430\pi\)
\(228\) 25.4548 + 19.8728i 1.68578 + 1.31611i
\(229\) −8.01186 + 13.8769i −0.529438 + 0.917014i 0.469972 + 0.882681i \(0.344264\pi\)
−0.999410 + 0.0343328i \(0.989069\pi\)
\(230\) −8.91858 + 15.4474i −0.588074 + 1.01857i
\(231\) −0.708733 0.553314i −0.0466312 0.0364054i
\(232\) 19.7503 + 34.2085i 1.29667 + 2.24590i
\(233\) −16.9177 −1.10832 −0.554158 0.832412i \(-0.686960\pi\)
−0.554158 + 0.832412i \(0.686960\pi\)
\(234\) −37.0585 10.5976i −2.42259 0.692786i
\(235\) 0.288213 0.0188009
\(236\) −10.8427 18.7802i −0.705803 1.22249i
\(237\) 3.28134 1.32712i 0.213146 0.0862055i
\(238\) 1.90810 3.30493i 0.123684 0.214227i
\(239\) −0.361215 + 0.625643i −0.0233651 + 0.0404695i −0.877472 0.479629i \(-0.840771\pi\)
0.854106 + 0.520098i \(0.174105\pi\)
\(240\) −3.34486 + 23.8620i −0.215910 + 1.54028i
\(241\) −6.82346 11.8186i −0.439537 0.761301i 0.558116 0.829763i \(-0.311524\pi\)
−0.997654 + 0.0684616i \(0.978191\pi\)
\(242\) −2.73051 −0.175524
\(243\) 9.99864 11.9594i 0.641413 0.767196i
\(244\) 24.6550 1.57837
\(245\) −3.15185 5.45917i −0.201364 0.348774i
\(246\) −0.113679 + 0.810977i −0.00724790 + 0.0517060i
\(247\) 8.04017 13.9260i 0.511584 0.886089i
\(248\) 24.4682 42.3802i 1.55373 2.69114i
\(249\) −22.5751 + 9.13036i −1.43064 + 0.578613i
\(250\) 11.6652 + 20.2046i 0.737769 + 1.27785i
\(251\) 20.5733 1.29858 0.649288 0.760542i \(-0.275067\pi\)
0.649288 + 0.760542i \(0.275067\pi\)
\(252\) 8.16904 + 2.33610i 0.514601 + 0.147160i
\(253\) 6.97483 0.438504
\(254\) −14.2714 24.7188i −0.895468 1.55100i
\(255\) 3.44256 + 2.68763i 0.215581 + 0.168306i
\(256\) −21.2752 + 36.8497i −1.32970 + 2.30311i
\(257\) −2.63208 + 4.55890i −0.164185 + 0.284376i −0.936365 0.351027i \(-0.885833\pi\)
0.772181 + 0.635403i \(0.219166\pi\)
\(258\) 8.46031 + 6.60503i 0.526716 + 0.411212i
\(259\) 0.536961 + 0.930044i 0.0333652 + 0.0577901i
\(260\) 24.0431 1.49109
\(261\) 3.04695 + 12.1834i 0.188602 + 0.754136i
\(262\) 36.7555 2.27076
\(263\) −1.29918 2.25025i −0.0801110 0.138756i 0.823186 0.567771i \(-0.192194\pi\)
−0.903297 + 0.429015i \(0.858861\pi\)
\(264\) 15.1511 6.12777i 0.932487 0.377138i
\(265\) −0.888982 + 1.53976i −0.0546097 + 0.0945868i
\(266\) −2.42207 + 4.19515i −0.148507 + 0.257221i
\(267\) 1.81232 12.9289i 0.110912 0.791239i
\(268\) −9.21049 15.9530i −0.562620 0.974487i
\(269\) −10.0952 −0.615516 −0.307758 0.951465i \(-0.599579\pi\)
−0.307758 + 0.951465i \(0.599579\pi\)
\(270\) −5.39183 + 12.1454i −0.328136 + 0.739146i
\(271\) 32.3022 1.96222 0.981111 0.193447i \(-0.0619667\pi\)
0.981111 + 0.193447i \(0.0619667\pi\)
\(272\) 19.9946 + 34.6317i 1.21235 + 2.09985i
\(273\) 0.587307 4.18981i 0.0355455 0.253579i
\(274\) 28.4842 49.3361i 1.72079 2.98050i
\(275\) 2.06140 3.57046i 0.124307 0.215307i
\(276\) −61.1010 + 24.7119i −3.67785 + 1.48748i
\(277\) −16.1690 28.0055i −0.971499 1.68269i −0.691036 0.722820i \(-0.742845\pi\)
−0.280463 0.959865i \(-0.590488\pi\)
\(278\) −2.36968 −0.142124
\(279\) 11.1842 10.8160i 0.669581 0.647536i
\(280\) −4.58772 −0.274169
\(281\) 4.77135 + 8.26422i 0.284635 + 0.493002i 0.972521 0.232817i \(-0.0747943\pi\)
−0.687886 + 0.725819i \(0.741461\pi\)
\(282\) 1.14716 + 0.895598i 0.0683124 + 0.0533321i
\(283\) 2.96038 5.12752i 0.175976 0.304800i −0.764522 0.644597i \(-0.777025\pi\)
0.940499 + 0.339797i \(0.110358\pi\)
\(284\) −7.92078 + 13.7192i −0.470012 + 0.814084i
\(285\) −4.36985 3.41158i −0.258847 0.202084i
\(286\) −6.42400 11.1267i −0.379859 0.657935i
\(287\) −0.0898871 −0.00530587
\(288\) −46.7653 + 45.2256i −2.75567 + 2.66494i
\(289\) −9.75167 −0.573627
\(290\) −5.35284 9.27139i −0.314330 0.544435i
\(291\) −26.2278 + 10.6077i −1.53750 + 0.621831i
\(292\) −25.9813 + 45.0009i −1.52044 + 2.63348i
\(293\) −7.21454 + 12.4959i −0.421478 + 0.730021i −0.996084 0.0884090i \(-0.971822\pi\)
0.574607 + 0.818430i \(0.305155\pi\)
\(294\) 4.41875 31.5230i 0.257706 1.83846i
\(295\) 1.86138 + 3.22401i 0.108374 + 0.187709i
\(296\) −19.5203 −1.13459
\(297\) 5.16710 0.548705i 0.299826 0.0318391i
\(298\) −17.9270 −1.03849
\(299\) 16.4095 + 28.4220i 0.948984 + 1.64369i
\(300\) −5.40817 + 38.5815i −0.312241 + 2.22750i
\(301\) −0.589068 + 1.02030i −0.0339533 + 0.0588089i
\(302\) 17.2595 29.8943i 0.993171 1.72022i
\(303\) 16.0290 6.48282i 0.920841 0.372428i
\(304\) −25.3804 43.9601i −1.45566 2.52128i
\(305\) −4.23255 −0.242355
\(306\) 5.35066 + 21.3949i 0.305877 + 1.22307i
\(307\) 9.60611 0.548250 0.274125 0.961694i \(-0.411612\pi\)
0.274125 + 0.961694i \(0.411612\pi\)
\(308\) 1.41608 + 2.45273i 0.0806889 + 0.139757i
\(309\) 8.94917 + 6.98669i 0.509101 + 0.397459i
\(310\) −6.63152 + 11.4861i −0.376645 + 0.652368i
\(311\) −0.171704 + 0.297401i −0.00973646 + 0.0168641i −0.870853 0.491544i \(-0.836433\pi\)
0.861116 + 0.508408i \(0.169766\pi\)
\(312\) 60.6159 + 47.3234i 3.43170 + 2.67916i
\(313\) 4.17952 + 7.23914i 0.236240 + 0.409180i 0.959632 0.281257i \(-0.0907514\pi\)
−0.723392 + 0.690437i \(0.757418\pi\)
\(314\) −38.2774 −2.16012
\(315\) −1.40239 0.401040i −0.0790156 0.0225960i
\(316\) −11.1491 −0.627185
\(317\) 6.70413 + 11.6119i 0.376541 + 0.652189i 0.990556 0.137106i \(-0.0437799\pi\)
−0.614015 + 0.789294i \(0.710447\pi\)
\(318\) −8.32306 + 3.36621i −0.466734 + 0.188768i
\(319\) −2.09311 + 3.62537i −0.117192 + 0.202982i
\(320\) 13.8174 23.9324i 0.772416 1.33786i
\(321\) 3.49001 24.8975i 0.194793 1.38964i
\(322\) −4.94329 8.56203i −0.275479 0.477143i
\(323\) −9.20075 −0.511943
\(324\) −43.3208 + 23.1139i −2.40671 + 1.28410i
\(325\) 19.3992 1.07607
\(326\) −29.5230 51.1353i −1.63513 2.83212i
\(327\) 2.80838 20.0348i 0.155304 1.10793i
\(328\) 0.816922 1.41495i 0.0451069 0.0781275i
\(329\) −0.0798737 + 0.138345i −0.00440358 + 0.00762722i
\(330\) −4.10635 + 1.66079i −0.226047 + 0.0914232i
\(331\) 14.9247 + 25.8504i 0.820337 + 1.42086i 0.905432 + 0.424492i \(0.139547\pi\)
−0.0850951 + 0.996373i \(0.527119\pi\)
\(332\) 76.7039 4.20967
\(333\) −5.96701 1.70638i −0.326990 0.0935092i
\(334\) −13.7103 −0.750196
\(335\) 1.58117 + 2.73867i 0.0863888 + 0.149630i
\(336\) −10.5270 8.21854i −0.574297 0.448358i
\(337\) 10.8619 18.8133i 0.591683 1.02483i −0.402322 0.915498i \(-0.631797\pi\)
0.994006 0.109328i \(-0.0348698\pi\)
\(338\) 12.4788 21.6139i 0.678755 1.17564i
\(339\) −1.64660 1.28551i −0.0894309 0.0698195i
\(340\) −6.87841 11.9137i −0.373034 0.646114i
\(341\) 5.18622 0.280850
\(342\) −6.79192 27.1579i −0.367265 1.46853i
\(343\) 7.12779 0.384865
\(344\) −10.7073 18.5455i −0.577297 0.999908i
\(345\) 10.4893 4.24231i 0.564723 0.228398i
\(346\) 0.625467 1.08334i 0.0336253 0.0582408i
\(347\) 14.1149 24.4477i 0.757727 1.31242i −0.186280 0.982497i \(-0.559643\pi\)
0.944007 0.329925i \(-0.107023\pi\)
\(348\) 5.49135 39.1749i 0.294367 2.10000i
\(349\) 3.57851 + 6.19817i 0.191553 + 0.331780i 0.945765 0.324851i \(-0.105314\pi\)
−0.754212 + 0.656631i \(0.771981\pi\)
\(350\) −5.84394 −0.312372
\(351\) 14.3924 + 19.7647i 0.768211 + 1.05496i
\(352\) −21.6855 −1.15584
\(353\) 14.8149 + 25.6602i 0.788518 + 1.36575i 0.926875 + 0.375371i \(0.122485\pi\)
−0.138357 + 0.990382i \(0.544182\pi\)
\(354\) −2.60957 + 18.6165i −0.138697 + 0.989455i
\(355\) 1.35977 2.35519i 0.0721689 0.125000i
\(356\) −20.5612 + 35.6131i −1.08974 + 1.88749i
\(357\) −2.24414 + 0.907629i −0.118773 + 0.0480368i
\(358\) 12.5594 + 21.7535i 0.663785 + 1.14971i
\(359\) −13.0116 −0.686726 −0.343363 0.939203i \(-0.611566\pi\)
−0.343363 + 0.939203i \(0.611566\pi\)
\(360\) 19.0583 18.4308i 1.00446 0.971388i
\(361\) −7.32093 −0.385312
\(362\) 20.6915 + 35.8387i 1.08752 + 1.88364i
\(363\) 1.36526 + 1.06587i 0.0716574 + 0.0559435i
\(364\) −6.66316 + 11.5409i −0.349244 + 0.604909i
\(365\) 4.46023 7.72534i 0.233459 0.404363i
\(366\) −16.8466 13.1523i −0.880587 0.687481i
\(367\) −16.0581 27.8134i −0.838225 1.45185i −0.891378 0.453262i \(-0.850260\pi\)
0.0531526 0.998586i \(-0.483073\pi\)
\(368\) 103.599 5.40049
\(369\) 0.373408 0.361114i 0.0194388 0.0187988i
\(370\) 5.29050 0.275040
\(371\) −0.492735 0.853442i −0.0255815 0.0443085i
\(372\) −45.4324 + 18.3748i −2.35556 + 0.952690i
\(373\) −17.4578 + 30.2378i −0.903931 + 1.56565i −0.0815849 + 0.996666i \(0.525998\pi\)
−0.822346 + 0.568988i \(0.807335\pi\)
\(374\) −3.67564 + 6.36640i −0.190063 + 0.329199i
\(375\) 2.05439 14.6559i 0.106088 0.756826i
\(376\) −1.45183 2.51465i −0.0748726 0.129683i
\(377\) −19.6976 −1.01448
\(378\) −4.33566 5.95405i −0.223002 0.306243i
\(379\) −11.4728 −0.589320 −0.294660 0.955602i \(-0.595206\pi\)
−0.294660 + 0.955602i \(0.595206\pi\)
\(380\) 8.73118 + 15.1228i 0.447900 + 0.775786i
\(381\) −2.51338 + 17.9303i −0.128765 + 0.918598i
\(382\) −28.5929 + 49.5243i −1.46294 + 2.53388i
\(383\) −15.1180 + 26.1851i −0.772492 + 1.33800i 0.163701 + 0.986510i \(0.447657\pi\)
−0.936193 + 0.351485i \(0.885677\pi\)
\(384\) 59.7243 24.1551i 3.04779 1.23266i
\(385\) −0.243100 0.421062i −0.0123895 0.0214593i
\(386\) 28.5309 1.45219
\(387\) −1.65185 6.60503i −0.0839684 0.335753i
\(388\) 89.1146 4.52411
\(389\) 13.0540 + 22.6101i 0.661863 + 1.14638i 0.980126 + 0.198377i \(0.0635671\pi\)
−0.318263 + 0.948002i \(0.603100\pi\)
\(390\) −16.4285 12.8259i −0.831889 0.649462i
\(391\) 9.38907 16.2623i 0.474826 0.822422i
\(392\) −31.7541 + 54.9997i −1.60382 + 2.77790i
\(393\) −18.3778 14.3477i −0.927035 0.723744i
\(394\) −28.6506 49.6242i −1.44339 2.50003i
\(395\) 1.91397 0.0963024
\(396\) −15.7363 4.50010i −0.790780 0.226139i
\(397\) −9.94467 −0.499109 −0.249554 0.968361i \(-0.580284\pi\)
−0.249554 + 0.968361i \(0.580284\pi\)
\(398\) −26.0084 45.0479i −1.30368 2.25805i
\(399\) 2.84863 1.15211i 0.142610 0.0576776i
\(400\) 30.6187 53.0331i 1.53093 2.65166i
\(401\) 11.7984 20.4354i 0.589183 1.02050i −0.405156 0.914247i \(-0.632783\pi\)
0.994340 0.106248i \(-0.0338837\pi\)
\(402\) −2.21673 + 15.8140i −0.110560 + 0.788730i
\(403\) 12.2015 + 21.1336i 0.607798 + 1.05274i
\(404\) −54.4620 −2.70959
\(405\) 7.43692 3.96798i 0.369544 0.197170i
\(406\) 5.93382 0.294491
\(407\) −1.03437 1.79158i −0.0512717 0.0888052i
\(408\) 6.10811 43.5748i 0.302396 2.15728i
\(409\) 1.30329 2.25737i 0.0644436 0.111620i −0.832003 0.554770i \(-0.812806\pi\)
0.896447 + 0.443151i \(0.146139\pi\)
\(410\) −0.221407 + 0.383488i −0.0109345 + 0.0189391i
\(411\) −33.5007 + 13.5491i −1.65247 + 0.668329i
\(412\) −17.8809 30.9706i −0.880929 1.52581i
\(413\) −2.06341 −0.101534
\(414\) 54.9326 + 15.7090i 2.69979 + 0.772057i
\(415\) −13.1678 −0.646383
\(416\) −51.0188 88.3672i −2.50140 4.33256i
\(417\) 1.18484 + 0.925014i 0.0580218 + 0.0452981i
\(418\) 4.66572 8.08126i 0.228208 0.395267i
\(419\) 8.80232 15.2461i 0.430022 0.744819i −0.566853 0.823819i \(-0.691839\pi\)
0.996875 + 0.0789996i \(0.0251726\pi\)
\(420\) 3.62144 + 2.82729i 0.176708 + 0.137958i
\(421\) −3.17824 5.50487i −0.154898 0.268291i 0.778124 0.628111i \(-0.216172\pi\)
−0.933022 + 0.359820i \(0.882838\pi\)
\(422\) −44.4778 −2.16515
\(423\) −0.223980 0.895598i −0.0108903 0.0435455i
\(424\) 17.9125 0.869908
\(425\) −5.54986 9.61264i −0.269208 0.466282i
\(426\) 12.7308 5.14888i 0.616808 0.249464i
\(427\) 1.17298 2.03167i 0.0567647 0.0983193i
\(428\) −39.5951 + 68.5807i −1.91390 + 3.31497i
\(429\) −1.13135 + 8.07098i −0.0546221 + 0.389671i
\(430\) 2.90195 + 5.02632i 0.139944 + 0.242391i
\(431\) 29.1820 1.40565 0.702824 0.711364i \(-0.251922\pi\)
0.702824 + 0.711364i \(0.251922\pi\)
\(432\) 76.7486 8.15009i 3.69257 0.392122i
\(433\) 13.7210 0.659388 0.329694 0.944088i \(-0.393054\pi\)
0.329694 + 0.944088i \(0.393054\pi\)
\(434\) −3.67564 6.36640i −0.176437 0.305597i
\(435\) −0.942706 + 6.72520i −0.0451993 + 0.322449i
\(436\) −31.8618 + 55.1862i −1.52590 + 2.64294i
\(437\) −11.9181 + 20.6428i −0.570121 + 0.987478i
\(438\) 41.7587 16.8891i 1.99531 0.806990i
\(439\) 1.00243 + 1.73625i 0.0478431 + 0.0828667i 0.888955 0.457994i \(-0.151432\pi\)
−0.841112 + 0.540861i \(0.818099\pi\)
\(440\) 8.83749 0.421311
\(441\) −14.5145 + 14.0366i −0.691167 + 0.668411i
\(442\) −34.5903 −1.64529
\(443\) −17.2972 29.9597i −0.821817 1.42343i −0.904328 0.426838i \(-0.859627\pi\)
0.0825115 0.996590i \(-0.473706\pi\)
\(444\) 15.4089 + 12.0298i 0.731272 + 0.570910i
\(445\) 3.52976 6.11373i 0.167327 0.289819i
\(446\) −12.3488 + 21.3887i −0.584732 + 1.01279i
\(447\) 8.96352 + 6.99789i 0.423960 + 0.330989i
\(448\) 7.65856 + 13.2650i 0.361833 + 0.626713i
\(449\) −2.43875 −0.115092 −0.0575459 0.998343i \(-0.518328\pi\)
−0.0575459 + 0.998343i \(0.518328\pi\)
\(450\) 24.2768 23.4775i 1.14442 1.10674i
\(451\) 0.173153 0.00815344
\(452\) 3.28999 + 5.69843i 0.154748 + 0.268031i
\(453\) −20.2991 + 8.20984i −0.953735 + 0.385732i
\(454\) −7.06069 + 12.2295i −0.331374 + 0.573957i
\(455\) 1.14387 1.98124i 0.0536255 0.0928821i
\(456\) −7.75339 + 55.3122i −0.363086 + 2.59023i
\(457\) 20.9497 + 36.2860i 0.979988 + 1.69739i 0.662384 + 0.749165i \(0.269545\pi\)
0.317604 + 0.948223i \(0.397122\pi\)
\(458\) −43.7530 −2.04444
\(459\) 5.67627 12.7861i 0.264946 0.596805i
\(460\) −35.6395 −1.66170
\(461\) −19.1941 33.2451i −0.893956 1.54838i −0.835091 0.550112i \(-0.814585\pi\)
−0.0588651 0.998266i \(-0.518748\pi\)
\(462\) 0.340815 2.43135i 0.0158562 0.113117i
\(463\) 0.121675 0.210748i 0.00565472 0.00979427i −0.863184 0.504889i \(-0.831533\pi\)
0.868839 + 0.495095i \(0.164867\pi\)
\(464\) −31.0896 + 53.8488i −1.44330 + 2.49987i
\(465\) 7.79942 3.15442i 0.361689 0.146283i
\(466\) −23.0970 40.0052i −1.06995 1.85320i
\(467\) −15.6918 −0.726129 −0.363064 0.931764i \(-0.618269\pi\)
−0.363064 + 0.931764i \(0.618269\pi\)
\(468\) −18.6847 74.7119i −0.863700 3.45356i
\(469\) −1.75279 −0.0809363
\(470\) 0.393484 + 0.681535i 0.0181501 + 0.0314369i
\(471\) 19.1387 + 14.9417i 0.881865 + 0.688479i
\(472\) 18.7529 32.4811i 0.863174 1.49506i
\(473\) 1.13474 1.96543i 0.0521755 0.0903707i
\(474\) 7.61810 + 5.94751i 0.349911 + 0.273178i
\(475\) 7.04477 + 12.2019i 0.323236 + 0.559862i
\(476\) 7.62497 0.349490
\(477\) 5.47554 + 1.56584i 0.250708 + 0.0716948i
\(478\) −1.97261 −0.0902249
\(479\) 8.14023 + 14.0993i 0.371937 + 0.644213i 0.989863 0.142022i \(-0.0453605\pi\)
−0.617927 + 0.786236i \(0.712027\pi\)
\(480\) −32.6122 + 13.1898i −1.48854 + 0.602029i
\(481\) 4.86705 8.42998i 0.221918 0.384374i
\(482\) 18.6315 32.2708i 0.848643 1.46989i
\(483\) −0.870578 + 6.21065i −0.0396127 + 0.282594i
\(484\) −2.72785 4.72478i −0.123993 0.214763i
\(485\) −15.2984 −0.694664
\(486\) 41.9310 + 7.31607i 1.90203 + 0.331864i
\(487\) −32.0421 −1.45197 −0.725983 0.687713i \(-0.758615\pi\)
−0.725983 + 0.687713i \(0.758615\pi\)
\(488\) 21.3209 + 36.9289i 0.965151 + 1.67169i
\(489\) −5.19939 + 37.0921i −0.235125 + 1.67736i
\(490\) 8.60618 14.9063i 0.388787 0.673400i
\(491\) 10.4729 18.1396i 0.472635 0.818627i −0.526875 0.849943i \(-0.676636\pi\)
0.999510 + 0.0313157i \(0.00996972\pi\)
\(492\) −1.51685 + 0.613481i −0.0683850 + 0.0276579i
\(493\) 5.63522 + 9.76049i 0.253798 + 0.439591i
\(494\) 43.9076 1.97550
\(495\) 2.70147 + 0.772537i 0.121422 + 0.0347230i
\(496\) 77.0326 3.45887
\(497\) 0.753676 + 1.30541i 0.0338070 + 0.0585554i
\(498\) −52.4114 40.9180i −2.34861 1.83358i
\(499\) −3.61552 + 6.26227i −0.161853 + 0.280338i −0.935533 0.353239i \(-0.885080\pi\)
0.773680 + 0.633576i \(0.218414\pi\)
\(500\) −23.3076 + 40.3699i −1.04235 + 1.80540i
\(501\) 6.85516 + 5.35188i 0.306266 + 0.239104i
\(502\) 28.0879 + 48.6496i 1.25362 + 2.17134i
\(503\) −5.90333 −0.263216 −0.131608 0.991302i \(-0.542014\pi\)
−0.131608 + 0.991302i \(0.542014\pi\)
\(504\) 3.56528 + 14.2560i 0.158810 + 0.635012i
\(505\) 9.34954 0.416049
\(506\) 9.52243 + 16.4933i 0.423324 + 0.733218i
\(507\) −14.6764 + 5.93579i −0.651804 + 0.263618i
\(508\) 28.5150 49.3895i 1.26515 2.19130i
\(509\) 5.42002 9.38776i 0.240238 0.416105i −0.720544 0.693409i \(-0.756108\pi\)
0.960782 + 0.277304i \(0.0894411\pi\)
\(510\) −1.65546 + 11.8099i −0.0733048 + 0.522951i
\(511\) 2.47217 + 4.28192i 0.109362 + 0.189421i
\(512\) −41.7940 −1.84705
\(513\) −7.20524 + 16.2302i −0.318119 + 0.716581i
\(514\) −14.3739 −0.634004
\(515\) 3.06963 + 5.31676i 0.135264 + 0.234284i
\(516\) −2.97704 + 21.2380i −0.131057 + 0.934951i
\(517\) 0.153863 0.266499i 0.00676691 0.0117206i
\(518\) −1.46618 + 2.53950i −0.0644203 + 0.111579i
\(519\) −0.735620 + 0.297517i −0.0322901 + 0.0130595i
\(520\) 20.7917 + 36.0123i 0.911776 + 1.57924i
\(521\) 14.7412 0.645822 0.322911 0.946429i \(-0.395339\pi\)
0.322911 + 0.946429i \(0.395339\pi\)
\(522\) −24.6502 + 23.8386i −1.07891 + 1.04339i
\(523\) −16.8230 −0.735617 −0.367808 0.929902i \(-0.619892\pi\)
−0.367808 + 0.929902i \(0.619892\pi\)
\(524\) 36.7197 + 63.6004i 1.60411 + 2.77840i
\(525\) 2.92197 + 2.28120i 0.127525 + 0.0995599i
\(526\) 3.54744 6.14434i 0.154676 0.267906i
\(527\) 6.98136 12.0921i 0.304113 0.526739i
\(528\) 20.2786 + 15.8317i 0.882513 + 0.688985i
\(529\) −12.8241 22.2120i −0.557570 0.965739i
\(530\) −4.85475 −0.210877
\(531\) 8.57181 8.28959i 0.371985 0.359738i
\(532\) −9.67884 −0.419631
\(533\) 0.407371 + 0.705587i 0.0176452 + 0.0305624i
\(534\) 33.0473 13.3658i 1.43010 0.578393i
\(535\) 6.79732 11.7733i 0.293874 0.509004i
\(536\) 15.9299 27.5914i 0.688067 1.19177i
\(537\) 2.21187 15.7794i 0.0954494 0.680930i
\(538\) −13.7826 23.8721i −0.594208 1.02920i
\(539\) −6.73051 −0.289904
\(540\) −26.4025 + 2.80374i −1.13618 + 0.120654i
\(541\) −22.5357 −0.968886 −0.484443 0.874823i \(-0.660978\pi\)
−0.484443 + 0.874823i \(0.660978\pi\)
\(542\) 44.1009 + 76.3849i 1.89429 + 3.28101i
\(543\) 3.64404 25.9963i 0.156381 1.11561i
\(544\) −29.1916 + 50.5614i −1.25158 + 2.16780i
\(545\) 5.46974 9.47387i 0.234298 0.405816i
\(546\) 10.7094 4.33137i 0.458322 0.185365i
\(547\) −14.2139 24.6192i −0.607743 1.05264i −0.991612 0.129254i \(-0.958742\pi\)
0.383869 0.923388i \(-0.374591\pi\)
\(548\) 113.826 4.86240
\(549\) 3.28926 + 13.1523i 0.140382 + 0.561326i
\(550\) 11.2574 0.480016
\(551\) −7.15313 12.3896i −0.304734 0.527814i
\(552\) −89.8523 70.1484i −3.82437 2.98571i
\(553\) −0.530427 + 0.918727i −0.0225561 + 0.0390683i
\(554\) 44.1496 76.4693i 1.87574 3.24887i
\(555\) −2.64525 2.06517i −0.112285 0.0876616i
\(556\) −2.36737 4.10040i −0.100399 0.173896i
\(557\) 43.1863 1.82986 0.914930 0.403612i \(-0.132245\pi\)
0.914930 + 0.403612i \(0.132245\pi\)
\(558\) 40.8458 + 11.6806i 1.72914 + 0.494481i
\(559\) 10.6787 0.451661
\(560\) −3.61085 6.25417i −0.152586 0.264287i
\(561\) 4.32297 1.74840i 0.182516 0.0738174i
\(562\) −13.0282 + 22.5656i −0.549563 + 0.951871i
\(563\) 0.482261 0.835300i 0.0203249 0.0352037i −0.855684 0.517499i \(-0.826863\pi\)
0.876009 + 0.482295i \(0.160197\pi\)
\(564\) −0.403667 + 2.87973i −0.0169974 + 0.121259i
\(565\) −0.564795 0.978254i −0.0237611 0.0411555i
\(566\) 16.1667 0.679537
\(567\) −0.156355 + 4.66947i −0.00656631 + 0.196099i
\(568\) −27.3986 −1.14962
\(569\) −4.26416 7.38575i −0.178763 0.309627i 0.762694 0.646759i \(-0.223876\pi\)
−0.941457 + 0.337133i \(0.890543\pi\)
\(570\) 2.10137 14.9910i 0.0880167 0.627905i
\(571\) −8.80176 + 15.2451i −0.368342 + 0.637988i −0.989307 0.145851i \(-0.953408\pi\)
0.620964 + 0.783839i \(0.286741\pi\)
\(572\) 12.8355 22.2317i 0.536678 0.929554i
\(573\) 33.6284 13.6008i 1.40485 0.568182i
\(574\) −0.122719 0.212555i −0.00512219 0.00887189i
\(575\) −28.7559 −1.19920
\(576\) −85.1061 24.3377i −3.54609 1.01407i
\(577\) −11.1810 −0.465472 −0.232736 0.972540i \(-0.574768\pi\)
−0.232736 + 0.972540i \(0.574768\pi\)
\(578\) −13.3135 23.0597i −0.553770 0.959157i
\(579\) −14.2655 11.1372i −0.592852 0.462845i
\(580\) 10.6952 18.5247i 0.444096 0.769197i
\(581\) 3.64926 6.32070i 0.151397 0.262227i
\(582\) −60.8915 47.5385i −2.52403 1.97053i
\(583\) 0.949173 + 1.64402i 0.0393107 + 0.0680882i
\(584\) −89.8713 −3.71890
\(585\) 3.20762 + 12.8259i 0.132619 + 0.530284i
\(586\) −39.3988 −1.62755
\(587\) −10.8373 18.7708i −0.447305 0.774755i 0.550905 0.834568i \(-0.314283\pi\)
−0.998210 + 0.0598133i \(0.980949\pi\)
\(588\) 58.9607 23.8463i 2.43150 0.983404i
\(589\) −8.86187 + 15.3492i −0.365147 + 0.632453i
\(590\) −5.08253 + 8.80321i −0.209245 + 0.362422i
\(591\) −5.04574 + 35.9960i −0.207554 + 1.48068i
\(592\) −15.3638 26.6109i −0.631448 1.09370i
\(593\) −7.82200 −0.321211 −0.160605 0.987019i \(-0.551345\pi\)
−0.160605 + 0.987019i \(0.551345\pi\)
\(594\) 8.35194 + 11.4695i 0.342684 + 0.470599i
\(595\) −1.30899 −0.0536632
\(596\) −17.9096 31.0203i −0.733605 1.27064i
\(597\) −4.58042 + 32.6764i −0.187464 + 1.33736i
\(598\) −44.8063 + 77.6068i −1.83227 + 3.17358i
\(599\) 5.25399 9.10018i 0.214672 0.371823i −0.738499 0.674255i \(-0.764465\pi\)
0.953171 + 0.302432i \(0.0977984\pi\)
\(600\) −62.4651 + 25.2636i −2.55013 + 1.03138i
\(601\) −18.5488 32.1275i −0.756622 1.31051i −0.944564 0.328328i \(-0.893515\pi\)
0.187942 0.982180i \(-0.439818\pi\)
\(602\) −3.21692 −0.131112
\(603\) 7.28142 7.04169i 0.296522 0.286760i
\(604\) 68.9706 2.80638
\(605\) 0.468293 + 0.811107i 0.0190388 + 0.0329762i
\(606\) 37.2136 + 29.0529i 1.51170 + 1.18020i
\(607\) 20.7558 35.9501i 0.842451 1.45917i −0.0453658 0.998970i \(-0.514445\pi\)
0.887817 0.460197i \(-0.152221\pi\)
\(608\) 37.0547 64.1806i 1.50277 2.60287i
\(609\) −2.96691 2.31629i −0.120225 0.0938609i
\(610\) −5.77851 10.0087i −0.233965 0.405239i
\(611\) 1.44796 0.0585782
\(612\) −31.6756 + 30.6327i −1.28041 + 1.23825i
\(613\) 33.7344 1.36252 0.681259 0.732042i \(-0.261433\pi\)
0.681259 + 0.732042i \(0.261433\pi\)
\(614\) 13.1148 + 22.7155i 0.529271 + 0.916724i
\(615\) 0.260400 0.105317i 0.0105003 0.00424679i
\(616\) −2.44917 + 4.24209i −0.0986800 + 0.170919i
\(617\) 14.0298 24.3003i 0.564817 0.978292i −0.432250 0.901754i \(-0.642280\pi\)
0.997067 0.0765378i \(-0.0243866\pi\)
\(618\) −4.30347 + 30.7007i −0.173111 + 1.23496i
\(619\) 15.9049 + 27.5480i 0.639270 + 1.10725i 0.985593 + 0.169134i \(0.0540969\pi\)
−0.346323 + 0.938115i \(0.612570\pi\)
\(620\) −26.5002 −1.06427
\(621\) −21.3342 29.2977i −0.856112 1.17568i
\(622\) −0.937683 −0.0375976
\(623\) 1.95644 + 3.38865i 0.0783830 + 0.135763i
\(624\) −16.8043 + 119.881i −0.672711 + 4.79908i
\(625\) −6.30578 + 10.9219i −0.252231 + 0.436877i
\(626\) −11.4122 + 19.7666i −0.456125 + 0.790031i
\(627\) −5.48741 + 2.21935i −0.219146 + 0.0886322i
\(628\) −38.2401 66.2338i −1.52595 2.64302i
\(629\) −5.56960 −0.222075
\(630\) −0.966282 3.86374i −0.0384976 0.153935i
\(631\) −23.4280 −0.932653 −0.466326 0.884613i \(-0.654423\pi\)
−0.466326 + 0.884613i \(0.654423\pi\)
\(632\) −9.64138 16.6994i −0.383513 0.664265i
\(633\) 22.2389 + 17.3621i 0.883917 + 0.690082i
\(634\) −18.3057 + 31.7064i −0.727013 + 1.25922i
\(635\) −4.89520 + 8.47873i −0.194260 + 0.336468i
\(636\) −14.1397 11.0390i −0.560676 0.437724i
\(637\) −15.8347 27.4265i −0.627393 1.08668i
\(638\) −11.4305 −0.452539
\(639\) −8.37527 2.39507i −0.331321 0.0947475i
\(640\) 34.8366 1.37704
\(641\) −7.75779 13.4369i −0.306414 0.530725i 0.671161 0.741312i \(-0.265796\pi\)
−0.977575 + 0.210587i \(0.932463\pi\)
\(642\) 63.6397 25.7386i 2.51166 1.01582i
\(643\) 5.47372 9.48075i 0.215862 0.373884i −0.737677 0.675154i \(-0.764077\pi\)
0.953539 + 0.301270i \(0.0974104\pi\)
\(644\) 9.87694 17.1074i 0.389206 0.674125i
\(645\) 0.511071 3.64595i 0.0201234 0.143559i
\(646\) −12.5614 21.7570i −0.494221 0.856016i
\(647\) 16.9732 0.667287 0.333643 0.942699i \(-0.391722\pi\)
0.333643 + 0.942699i \(0.391722\pi\)
\(648\) −72.0830 44.8988i −2.83169 1.76379i
\(649\) 3.97483 0.156026
\(650\) 26.4849 + 45.8732i 1.03882 + 1.79930i
\(651\) −0.647330 + 4.61800i −0.0253708 + 0.180994i
\(652\) 58.9885 102.171i 2.31017 4.00133i
\(653\) −0.227291 + 0.393679i −0.00889458 + 0.0154059i −0.870438 0.492277i \(-0.836165\pi\)
0.861544 + 0.507683i \(0.169498\pi\)
\(654\) 51.2103 20.7117i 2.00248 0.809890i
\(655\) −6.30371 10.9183i −0.246306 0.426615i
\(656\) 2.57189 0.100415
\(657\) −27.4721 7.85617i −1.07179 0.306499i
\(658\) −0.436192 −0.0170045
\(659\) 1.57851 + 2.73406i 0.0614901 + 0.106504i 0.895132 0.445802i \(-0.147081\pi\)
−0.833642 + 0.552306i \(0.813748\pi\)
\(660\) −6.97611 5.44630i −0.271545 0.211997i
\(661\) 13.2786 22.9992i 0.516478 0.894566i −0.483339 0.875433i \(-0.660576\pi\)
0.999817 0.0191324i \(-0.00609042\pi\)
\(662\) −40.7521 + 70.5848i −1.58388 + 2.74336i
\(663\) 17.2952 + 13.5025i 0.671688 + 0.524393i
\(664\) 66.3312 + 114.889i 2.57415 + 4.45856i
\(665\) 1.66158 0.0644331
\(666\) −4.11143 16.4398i −0.159315 0.637030i
\(667\) 29.1982 1.13056
\(668\) −13.6970 23.7238i −0.529951 0.917903i
\(669\) 14.5236 5.87396i 0.561514 0.227100i
\(670\) −4.31742 + 7.47799i −0.166796 + 0.288900i
\(671\) −2.25956 + 3.91367i −0.0872294 + 0.151086i
\(672\) 2.70672 19.3096i 0.104414 0.744883i
\(673\) 13.6485 + 23.6398i 0.526110 + 0.911248i 0.999537 + 0.0304158i \(0.00968314\pi\)
−0.473428 + 0.880833i \(0.656984\pi\)
\(674\) 59.3169 2.28480
\(675\) −21.3030 + 2.26220i −0.819951 + 0.0870723i
\(676\) 49.8664 1.91794
\(677\) 0.200168 + 0.346700i 0.00769307 + 0.0133248i 0.869846 0.493323i \(-0.164218\pi\)
−0.862153 + 0.506648i \(0.830885\pi\)
\(678\) 0.791815 5.64876i 0.0304095 0.216939i
\(679\) 4.23971 7.34339i 0.162705 0.281813i
\(680\) 11.8965 20.6053i 0.456209 0.790177i
\(681\) 8.30417 3.35857i 0.318216 0.128701i
\(682\) 7.08052 + 12.2638i 0.271127 + 0.469606i
\(683\) −26.2154 −1.00310 −0.501552 0.865127i \(-0.667238\pi\)
−0.501552 + 0.865127i \(0.667238\pi\)
\(684\) 40.2077 38.8839i 1.53738 1.48676i
\(685\) −19.5406 −0.746607
\(686\) 9.73127 + 16.8550i 0.371541 + 0.643529i
\(687\) 21.8765 + 17.0792i 0.834640 + 0.651610i
\(688\) 16.8547 29.1932i 0.642579 1.11298i
\(689\) −4.46618 + 7.73565i −0.170148 + 0.294705i
\(690\) 24.3523 + 19.0120i 0.927076 + 0.723776i
\(691\) 7.79814 + 13.5068i 0.296655 + 0.513822i 0.975369 0.220581i \(-0.0707955\pi\)
−0.678713 + 0.734403i \(0.737462\pi\)
\(692\) 2.49943 0.0950141
\(693\) −1.11950 + 1.08264i −0.0425261 + 0.0411260i
\(694\) 77.0818 2.92599
\(695\) 0.406408 + 0.703920i 0.0154160 + 0.0267012i
\(696\) 63.4259 25.6522i 2.40415 0.972344i
\(697\) 0.233087 0.403719i 0.00882880 0.0152919i
\(698\) −9.77118 + 16.9242i −0.369845 + 0.640590i
\(699\) −4.06769 + 29.0186i −0.153854 + 1.09758i
\(700\) −5.83824 10.1121i −0.220665 0.382203i
\(701\) 27.4965 1.03853 0.519265 0.854613i \(-0.326206\pi\)
0.519265 + 0.854613i \(0.326206\pi\)
\(702\) −27.0882 + 61.0176i −1.02238 + 2.30296i
\(703\) 7.06983 0.266644
\(704\) −14.7529 25.5529i −0.556023 0.963059i
\(705\) 0.0692978 0.494366i 0.00260991 0.0186189i
\(706\) −40.4523 + 70.0655i −1.52244 + 2.63695i
\(707\) −2.59108 + 4.48788i −0.0974476 + 0.168784i
\(708\) −34.8203 + 14.0828i −1.30863 + 0.529266i
\(709\) 15.3257 + 26.5449i 0.575570 + 0.996916i 0.995979 + 0.0895815i \(0.0285529\pi\)
−0.420410 + 0.907334i \(0.638114\pi\)
\(710\) 7.42572 0.278682
\(711\) −1.48741 5.94751i −0.0557824 0.223049i
\(712\) −71.1228 −2.66544
\(713\) −18.0865 31.3267i −0.677345 1.17320i
\(714\) −5.21010 4.06757i −0.194983 0.152225i
\(715\) −2.20348 + 3.81654i −0.0824054 + 0.142730i
\(716\) −25.0943 + 43.4646i −0.937818 + 1.62435i
\(717\) 0.986303 + 0.770015i 0.0368342 + 0.0287567i
\(718\) −17.7642 30.7685i −0.662954 1.14827i
\(719\) −19.7250 −0.735620 −0.367810 0.929901i \(-0.619892\pi\)
−0.367810 + 0.929901i \(0.619892\pi\)
\(720\) 40.1258 + 11.4747i 1.49540 + 0.427638i
\(721\) −3.40280 −0.126727
\(722\) −9.99495 17.3118i −0.371973 0.644277i
\(723\) −21.9128 + 8.86249i −0.814946 + 0.329599i
\(724\) −41.3426 + 71.6075i −1.53649 + 2.66127i
\(725\) 8.62949 14.9467i 0.320491 0.555107i
\(726\) −0.656524 + 4.68360i −0.0243659 + 0.173825i
\(727\) 2.70607 + 4.68705i 0.100363 + 0.173833i 0.911834 0.410559i \(-0.134666\pi\)
−0.811471 + 0.584392i \(0.801333\pi\)
\(728\) −23.0484 −0.854230
\(729\) −18.1097 20.0260i −0.670728 0.741703i
\(730\) 24.3574 0.901509
\(731\) −3.05504 5.29148i −0.112995 0.195713i
\(732\) 5.92804 42.2902i 0.219107 1.56309i
\(733\) 0.819020 1.41858i 0.0302512 0.0523966i −0.850503 0.525969i \(-0.823703\pi\)
0.880755 + 0.473573i \(0.157036\pi\)
\(734\) 43.8468 75.9449i 1.61842 2.80318i
\(735\) −10.1218 + 4.09371i −0.373350 + 0.150999i
\(736\) 75.6263 + 130.989i 2.78762 + 4.82830i
\(737\) 3.37646 0.124374
\(738\) 1.36372 + 0.389982i 0.0501993 + 0.0143555i
\(739\) −12.8306 −0.471980 −0.235990 0.971755i \(-0.575833\pi\)
−0.235990 + 0.971755i \(0.575833\pi\)
\(740\) 5.28535 + 9.15449i 0.194293 + 0.336526i
\(741\) −21.9538 17.1395i −0.806493 0.629636i
\(742\) 1.34542 2.33033i 0.0493919 0.0855493i
\(743\) −18.1559 + 31.4469i −0.666074 + 1.15367i 0.312919 + 0.949780i \(0.398693\pi\)
−0.978993 + 0.203894i \(0.934640\pi\)
\(744\) −66.8108 52.1597i −2.44940 1.91227i
\(745\) 3.07455 + 5.32528i 0.112643 + 0.195103i
\(746\) −95.3376 −3.49056
\(747\) 10.2332 + 40.9180i 0.374412 + 1.49711i
\(748\) −14.6883 −0.537056
\(749\) 3.76754 + 6.52557i 0.137663 + 0.238439i
\(750\) 37.4614 15.1510i 1.36790 0.553237i
\(751\) −10.3163 + 17.8683i −0.376447 + 0.652025i −0.990542 0.137207i \(-0.956188\pi\)
0.614096 + 0.789232i \(0.289521\pi\)
\(752\) 2.28538 3.95840i 0.0833394 0.144348i
\(753\) 4.94665 35.2890i 0.180266 1.28600i
\(754\) −26.8923 46.5788i −0.979359 1.69630i
\(755\) −11.8403 −0.430911
\(756\) 5.97122 13.4505i 0.217171 0.489190i
\(757\) 13.5638 0.492986 0.246493 0.969145i \(-0.420722\pi\)
0.246493 + 0.969145i \(0.420722\pi\)
\(758\) −15.6634 27.1298i −0.568919 0.985397i
\(759\) 1.67703 11.9638i 0.0608722 0.434258i
\(760\) −15.1009 + 26.1555i −0.547768 + 0.948761i
\(761\) −7.99799 + 13.8529i −0.289927 + 0.502168i −0.973792 0.227440i \(-0.926964\pi\)
0.683865 + 0.729608i \(0.260298\pi\)
\(762\) −45.8311 + 18.5361i −1.66029 + 0.671492i
\(763\) 3.03171 + 5.25107i 0.109755 + 0.190102i
\(764\) −114.260 −4.13378
\(765\) 5.43777 5.25874i 0.196603 0.190130i
\(766\) −82.5596 −2.98300
\(767\) 9.35146 + 16.1972i 0.337662 + 0.584847i
\(768\) 58.0923 + 45.3531i 2.09622 + 1.63654i
\(769\) −13.2839 + 23.0083i −0.479028 + 0.829701i −0.999711 0.0240494i \(-0.992344\pi\)
0.520683 + 0.853750i \(0.325677\pi\)
\(770\) 0.663789 1.14972i 0.0239213 0.0414329i
\(771\) 7.18694 + 5.61090i 0.258831 + 0.202072i
\(772\) 28.5031 + 49.3689i 1.02585 + 1.77682i
\(773\) 24.2035 0.870539 0.435269 0.900300i \(-0.356653\pi\)
0.435269 + 0.900300i \(0.356653\pi\)
\(774\) 13.3637 12.9237i 0.480348 0.464533i
\(775\) −21.3818 −0.768056
\(776\) 77.0636 + 133.478i 2.76642 + 4.79158i
\(777\) 1.72439 0.697420i <