Properties

Label 546.2.bu.a.71.1
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
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.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.1
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.68734 + 0.390990i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.95685 - 2.95685i) q^{5} +(1.52865 - 0.814384i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.69425 - 1.31947i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.68734 + 0.390990i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.95685 - 2.95685i) q^{5} +(1.52865 - 0.814384i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.69425 - 1.31947i) q^{9} +(3.62139 + 2.09081i) q^{10} +(-0.182104 - 0.679623i) q^{11} +(-1.26579 + 1.18228i) q^{12} +(1.11817 - 3.42778i) q^{13} +1.00000i q^{14} +(6.14532 + 3.83312i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.06039 + 3.56869i) q^{17} +(-2.26094 + 1.97183i) q^{18} +(-7.67233 - 2.05579i) q^{19} +(-4.03913 - 1.08228i) q^{20} +(-0.0590488 + 1.73104i) q^{21} +(0.351799 + 0.609333i) q^{22} +(-1.12597 + 1.95025i) q^{23} +(0.916660 - 1.46960i) q^{24} +12.4859i q^{25} +(-0.192896 + 3.60039i) q^{26} +(-4.03023 + 3.27983i) q^{27} +(-0.258819 - 0.965926i) q^{28} +(-1.72295 - 0.994745i) q^{29} +(-6.92801 - 2.11199i) q^{30} +(2.11439 - 2.11439i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(0.572999 + 1.07556i) q^{33} +(-2.91383 - 2.91383i) q^{34} +(-3.62139 + 2.09081i) q^{35} +(1.67356 - 2.48982i) q^{36} +(4.55669 - 1.22096i) q^{37} +7.94298 q^{38} +(-0.546510 + 6.22104i) q^{39} +4.18162 q^{40} +(-1.49512 + 0.400617i) q^{41} +(-0.390990 - 1.68734i) q^{42} +(-10.5411 + 6.08588i) q^{43} +(-0.497519 - 0.497519i) q^{44} +(-11.8680 - 4.06503i) q^{45} +(0.582847 - 2.17522i) q^{46} +(-3.65818 + 3.65818i) q^{47} +(-0.505064 + 1.65678i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-3.23160 - 12.0605i) q^{50} +(-4.87190 - 5.21602i) q^{51} +(-0.745526 - 3.52763i) q^{52} -0.161679i q^{53} +(3.04402 - 4.21117i) q^{54} +(-1.47109 + 2.54800i) q^{55} +(0.500000 + 0.866025i) q^{56} +(13.7497 + 0.469023i) q^{57} +(1.92170 + 0.514918i) q^{58} +(-5.46193 - 1.46352i) q^{59} +(7.23857 + 0.246920i) q^{60} +(0.568793 + 0.985179i) q^{61} +(-1.49510 + 2.58959i) q^{62} +(-0.577186 - 2.94395i) q^{63} -1.00000i q^{64} +(-13.4417 + 6.82918i) q^{65} +(-0.831849 - 0.890605i) q^{66} +(2.89331 + 10.7980i) q^{67} +(3.56869 + 2.06039i) q^{68} +(1.13738 - 3.73098i) q^{69} +(2.95685 - 2.95685i) q^{70} +(-0.345402 + 1.28906i) q^{71} +(-0.972118 + 2.83813i) q^{72} +(4.56529 + 4.56529i) q^{73} +(-4.08541 + 2.35871i) q^{74} +(-4.88189 - 21.0681i) q^{75} +(-7.67233 + 2.05579i) q^{76} -0.703598 q^{77} +(-1.08224 - 6.15051i) q^{78} +7.36643 q^{79} +(-4.03913 + 1.08228i) q^{80} +(5.51800 - 7.10997i) q^{81} +(1.34049 - 0.773933i) q^{82} +(10.3578 + 10.3578i) q^{83} +(0.814384 + 1.52865i) q^{84} +(4.45984 - 16.6443i) q^{85} +(8.60674 - 8.60674i) q^{86} +(3.29614 + 1.00482i) q^{87} +(0.609333 + 0.351799i) q^{88} +(-2.00418 - 7.47969i) q^{89} +(12.5157 + 0.854857i) q^{90} +(-3.02158 - 1.96725i) q^{91} +2.25195i q^{92} +(-2.74099 + 4.39441i) q^{93} +(2.58672 - 4.48033i) q^{94} +(16.6073 + 28.7646i) q^{95} +(0.0590488 - 1.73104i) q^{96} +(-16.1991 - 4.34053i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-1.38738 - 1.59080i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −1.68734 + 0.390990i −0.974188 + 0.225738i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −2.95685 2.95685i −1.32234 1.32234i −0.911874 0.410471i \(-0.865364\pi\)
−0.410471 0.911874i \(-0.634636\pi\)
\(6\) 1.52865 0.814384i 0.624070 0.332471i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.69425 1.31947i 0.898084 0.439823i
\(10\) 3.62139 + 2.09081i 1.14518 + 0.661172i
\(11\) −0.182104 0.679623i −0.0549066 0.204914i 0.933023 0.359816i \(-0.117161\pi\)
−0.987930 + 0.154902i \(0.950494\pi\)
\(12\) −1.26579 + 1.18228i −0.365401 + 0.341295i
\(13\) 1.11817 3.42778i 0.310125 0.950696i
\(14\) 1.00000i 0.267261i
\(15\) 6.14532 + 3.83312i 1.58672 + 0.989708i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.06039 + 3.56869i 0.499717 + 0.865535i 1.00000 0.000326888i \(-0.000104052\pi\)
−0.500283 + 0.865862i \(0.666771\pi\)
\(18\) −2.26094 + 1.97183i −0.532910 + 0.464766i
\(19\) −7.67233 2.05579i −1.76015 0.471632i −0.773408 0.633908i \(-0.781450\pi\)
−0.986745 + 0.162277i \(0.948116\pi\)
\(20\) −4.03913 1.08228i −0.903178 0.242006i
\(21\) −0.0590488 + 1.73104i −0.0128855 + 0.377745i
\(22\) 0.351799 + 0.609333i 0.0750038 + 0.129910i
\(23\) −1.12597 + 1.95025i −0.234782 + 0.406654i −0.959209 0.282697i \(-0.908771\pi\)
0.724427 + 0.689351i \(0.242104\pi\)
\(24\) 0.916660 1.46960i 0.187112 0.299982i
\(25\) 12.4859i 2.49719i
\(26\) −0.192896 + 3.60039i −0.0378300 + 0.706094i
\(27\) −4.03023 + 3.27983i −0.775618 + 0.631203i
\(28\) −0.258819 0.965926i −0.0489122 0.182543i
\(29\) −1.72295 0.994745i −0.319943 0.184719i 0.331424 0.943482i \(-0.392471\pi\)
−0.651367 + 0.758763i \(0.725804\pi\)
\(30\) −6.92801 2.11199i −1.26488 0.385594i
\(31\) 2.11439 2.11439i 0.379756 0.379756i −0.491258 0.871014i \(-0.663463\pi\)
0.871014 + 0.491258i \(0.163463\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 0.572999 + 1.07556i 0.0997463 + 0.187230i
\(34\) −2.91383 2.91383i −0.499717 0.499717i
\(35\) −3.62139 + 2.09081i −0.612127 + 0.353411i
\(36\) 1.67356 2.48982i 0.278926 0.414970i
\(37\) 4.55669 1.22096i 0.749115 0.200725i 0.135989 0.990710i \(-0.456579\pi\)
0.613125 + 0.789986i \(0.289912\pi\)
\(38\) 7.94298 1.28852
\(39\) −0.546510 + 6.22104i −0.0875116 + 0.996163i
\(40\) 4.18162 0.661172
\(41\) −1.49512 + 0.400617i −0.233499 + 0.0625659i −0.373671 0.927561i \(-0.621901\pi\)
0.140172 + 0.990127i \(0.455234\pi\)
\(42\) −0.390990 1.68734i −0.0603311 0.260363i
\(43\) −10.5411 + 6.08588i −1.60750 + 0.928088i −0.617568 + 0.786517i \(0.711882\pi\)
−0.989928 + 0.141571i \(0.954785\pi\)
\(44\) −0.497519 0.497519i −0.0750038 0.0750038i
\(45\) −11.8680 4.06503i −1.76917 0.605979i
\(46\) 0.582847 2.17522i 0.0859362 0.320718i
\(47\) −3.65818 + 3.65818i −0.533600 + 0.533600i −0.921642 0.388042i \(-0.873152\pi\)
0.388042 + 0.921642i \(0.373152\pi\)
\(48\) −0.505064 + 1.65678i −0.0728997 + 0.239135i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −3.23160 12.0605i −0.457017 1.70561i
\(51\) −4.87190 5.21602i −0.682203 0.730388i
\(52\) −0.745526 3.52763i −0.103386 0.489195i
\(53\) 0.161679i 0.0222083i −0.999938 0.0111041i \(-0.996465\pi\)
0.999938 0.0111041i \(-0.00353463\pi\)
\(54\) 3.04402 4.21117i 0.414239 0.573067i
\(55\) −1.47109 + 2.54800i −0.198362 + 0.343572i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 13.7497 + 0.469023i 1.82119 + 0.0621237i
\(58\) 1.92170 + 0.514918i 0.252331 + 0.0676120i
\(59\) −5.46193 1.46352i −0.711083 0.190534i −0.114893 0.993378i \(-0.536653\pi\)
−0.596189 + 0.802844i \(0.703319\pi\)
\(60\) 7.23857 + 0.246920i 0.934495 + 0.0318772i
\(61\) 0.568793 + 0.985179i 0.0728265 + 0.126139i 0.900139 0.435603i \(-0.143465\pi\)
−0.827313 + 0.561742i \(0.810131\pi\)
\(62\) −1.49510 + 2.58959i −0.189878 + 0.328878i
\(63\) −0.577186 2.94395i −0.0727186 0.370903i
\(64\) 1.00000i 0.125000i
\(65\) −13.4417 + 6.82918i −1.66724 + 0.847055i
\(66\) −0.831849 0.890605i −0.102394 0.109626i
\(67\) 2.89331 + 10.7980i 0.353475 + 1.31919i 0.882393 + 0.470513i \(0.155931\pi\)
−0.528919 + 0.848672i \(0.677402\pi\)
\(68\) 3.56869 + 2.06039i 0.432768 + 0.249858i
\(69\) 1.13738 3.73098i 0.136924 0.449157i
\(70\) 2.95685 2.95685i 0.353411 0.353411i
\(71\) −0.345402 + 1.28906i −0.0409916 + 0.152983i −0.983388 0.181515i \(-0.941900\pi\)
0.942397 + 0.334498i \(0.108567\pi\)
\(72\) −0.972118 + 2.83813i −0.114565 + 0.334477i
\(73\) 4.56529 + 4.56529i 0.534327 + 0.534327i 0.921857 0.387530i \(-0.126672\pi\)
−0.387530 + 0.921857i \(0.626672\pi\)
\(74\) −4.08541 + 2.35871i −0.474920 + 0.274195i
\(75\) −4.88189 21.0681i −0.563712 2.43273i
\(76\) −7.67233 + 2.05579i −0.880077 + 0.235816i
\(77\) −0.703598 −0.0801824
\(78\) −1.08224 6.15051i −0.122539 0.696408i
\(79\) 7.36643 0.828788 0.414394 0.910098i \(-0.363994\pi\)
0.414394 + 0.910098i \(0.363994\pi\)
\(80\) −4.03913 + 1.08228i −0.451589 + 0.121003i
\(81\) 5.51800 7.10997i 0.613111 0.789997i
\(82\) 1.34049 0.773933i 0.148032 0.0854666i
\(83\) 10.3578 + 10.3578i 1.13692 + 1.13692i 0.989000 + 0.147918i \(0.0472571\pi\)
0.147918 + 0.989000i \(0.452743\pi\)
\(84\) 0.814384 + 1.52865i 0.0888566 + 0.166790i
\(85\) 4.45984 16.6443i 0.483738 1.80533i
\(86\) 8.60674 8.60674i 0.928088 0.928088i
\(87\) 3.29614 + 1.00482i 0.353383 + 0.107728i
\(88\) 0.609333 + 0.351799i 0.0649552 + 0.0375019i
\(89\) −2.00418 7.47969i −0.212442 0.792845i −0.987051 0.160405i \(-0.948720\pi\)
0.774609 0.632440i \(-0.217947\pi\)
\(90\) 12.5157 + 0.854857i 1.31927 + 0.0901099i
\(91\) −3.02158 1.96725i −0.316748 0.206223i
\(92\) 2.25195i 0.234782i
\(93\) −2.74099 + 4.39441i −0.284228 + 0.455679i
\(94\) 2.58672 4.48033i 0.266800 0.462111i
\(95\) 16.6073 + 28.7646i 1.70387 + 2.95119i
\(96\) 0.0590488 1.73104i 0.00602664 0.176674i
\(97\) −16.1991 4.34053i −1.64477 0.440714i −0.686626 0.727011i \(-0.740909\pi\)
−0.958141 + 0.286297i \(0.907575\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) −1.38738 1.59080i −0.139437 0.159881i
\(100\) 6.24297 + 10.8131i 0.624297 + 1.08131i
\(101\) −5.63189 + 9.75471i −0.560394 + 0.970630i 0.437068 + 0.899428i \(0.356017\pi\)
−0.997462 + 0.0712019i \(0.977317\pi\)
\(102\) 6.05590 + 3.77734i 0.599623 + 0.374013i
\(103\) 1.77305i 0.174704i −0.996178 0.0873520i \(-0.972160\pi\)
0.996178 0.0873520i \(-0.0278405\pi\)
\(104\) 1.63314 + 3.21448i 0.160143 + 0.315205i
\(105\) 5.29304 4.94384i 0.516548 0.482470i
\(106\) 0.0418456 + 0.156170i 0.00406440 + 0.0151686i
\(107\) 10.3779 + 5.99167i 1.00327 + 0.579237i 0.909213 0.416330i \(-0.136684\pi\)
0.0940542 + 0.995567i \(0.470017\pi\)
\(108\) −1.85037 + 4.85553i −0.178052 + 0.467223i
\(109\) −7.89280 + 7.89280i −0.755993 + 0.755993i −0.975591 0.219597i \(-0.929526\pi\)
0.219597 + 0.975591i \(0.429526\pi\)
\(110\) 0.761492 2.84193i 0.0726054 0.270967i
\(111\) −7.21131 + 3.84180i −0.684467 + 0.364648i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 3.09181 1.78506i 0.290853 0.167924i −0.347474 0.937690i \(-0.612960\pi\)
0.638326 + 0.769766i \(0.279627\pi\)
\(114\) −13.4025 + 3.10563i −1.25526 + 0.290869i
\(115\) 9.09593 2.43725i 0.848200 0.227274i
\(116\) −1.98949 −0.184719
\(117\) −1.51022 10.7107i −0.139620 0.990205i
\(118\) 5.65460 0.520549
\(119\) 3.98036 1.06653i 0.364879 0.0977690i
\(120\) −7.05583 + 1.63497i −0.644106 + 0.149252i
\(121\) 9.09755 5.25248i 0.827050 0.477498i
\(122\) −0.804395 0.804395i −0.0728265 0.0728265i
\(123\) 2.36615 1.26056i 0.213348 0.113661i
\(124\) 0.773920 2.88831i 0.0695001 0.259378i
\(125\) 22.1348 22.1348i 1.97980 1.97980i
\(126\) 1.31947 + 2.69425i 0.117548 + 0.240023i
\(127\) −8.56131 4.94287i −0.759693 0.438609i 0.0694923 0.997582i \(-0.477862\pi\)
−0.829186 + 0.558973i \(0.811195\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) 15.4069 14.3904i 1.35650 1.26701i
\(130\) 11.2162 10.0754i 0.983724 0.883675i
\(131\) 11.2475i 0.982702i −0.870962 0.491351i \(-0.836503\pi\)
0.870962 0.491351i \(-0.163497\pi\)
\(132\) 1.03401 + 0.644960i 0.0899990 + 0.0561365i
\(133\) −3.97149 + 6.87882i −0.344372 + 0.596470i
\(134\) −5.58945 9.68122i −0.482855 0.836330i
\(135\) 21.6147 + 2.21883i 1.86030 + 0.190967i
\(136\) −3.98036 1.06653i −0.341313 0.0914545i
\(137\) −13.5656 3.63490i −1.15899 0.310550i −0.372428 0.928061i \(-0.621475\pi\)
−0.786562 + 0.617511i \(0.788141\pi\)
\(138\) −0.132975 + 3.89822i −0.0113196 + 0.331839i
\(139\) −5.72868 9.92236i −0.485900 0.841603i 0.513969 0.857809i \(-0.328175\pi\)
−0.999869 + 0.0162056i \(0.994841\pi\)
\(140\) −2.09081 + 3.62139i −0.176706 + 0.306063i
\(141\) 4.74228 7.60291i 0.399372 0.640280i
\(142\) 1.33453i 0.111991i
\(143\) −2.53322 0.135721i −0.211839 0.0113496i
\(144\) 0.204432 2.99303i 0.0170360 0.249419i
\(145\) 2.15319 + 8.03581i 0.178813 + 0.667338i
\(146\) −5.59131 3.22815i −0.462741 0.267163i
\(147\) 1.65678 + 0.505064i 0.136649 + 0.0416570i
\(148\) 3.33573 3.33573i 0.274195 0.274195i
\(149\) 4.04326 15.0897i 0.331237 1.23619i −0.576654 0.816988i \(-0.695642\pi\)
0.907891 0.419205i \(-0.137691\pi\)
\(150\) 10.1684 + 19.0867i 0.830243 + 1.55842i
\(151\) −7.41691 7.41691i −0.603580 0.603580i 0.337681 0.941261i \(-0.390357\pi\)
−0.941261 + 0.337681i \(0.890357\pi\)
\(152\) 6.87882 3.97149i 0.557946 0.322130i
\(153\) 10.2600 + 6.89634i 0.829470 + 0.557536i
\(154\) 0.679623 0.182104i 0.0547656 0.0146744i
\(155\) −12.5039 −1.00434
\(156\) 2.63723 + 5.66083i 0.211147 + 0.453229i
\(157\) 15.2580 1.21772 0.608861 0.793277i \(-0.291627\pi\)
0.608861 + 0.793277i \(0.291627\pi\)
\(158\) −7.11542 + 1.90657i −0.566073 + 0.151679i
\(159\) 0.0632149 + 0.272808i 0.00501327 + 0.0216351i
\(160\) 3.62139 2.09081i 0.286296 0.165293i
\(161\) 1.59237 + 1.59237i 0.125496 + 0.125496i
\(162\) −3.48978 + 8.29587i −0.274183 + 0.651785i
\(163\) −0.301250 + 1.12428i −0.0235957 + 0.0880604i −0.976720 0.214520i \(-0.931181\pi\)
0.953124 + 0.302580i \(0.0978480\pi\)
\(164\) −1.09451 + 1.09451i −0.0854666 + 0.0854666i
\(165\) 1.48599 4.87453i 0.115684 0.379482i
\(166\) −12.6857 7.32408i −0.984599 0.568459i
\(167\) 6.17452 + 23.0436i 0.477798 + 1.78317i 0.610505 + 0.792012i \(0.290967\pi\)
−0.132707 + 0.991155i \(0.542367\pi\)
\(168\) −1.18228 1.26579i −0.0912148 0.0976576i
\(169\) −10.4994 7.66570i −0.807645 0.589669i
\(170\) 17.2315i 1.32160i
\(171\) −23.3838 + 4.58458i −1.78820 + 0.350591i
\(172\) −6.08588 + 10.5411i −0.464044 + 0.803748i
\(173\) −7.02861 12.1739i −0.534375 0.925565i −0.999193 0.0401587i \(-0.987214\pi\)
0.464818 0.885406i \(-0.346120\pi\)
\(174\) −3.44389 0.117477i −0.261081 0.00890590i
\(175\) 12.0605 + 3.23160i 0.911688 + 0.244286i
\(176\) −0.679623 0.182104i −0.0512285 0.0137266i
\(177\) 9.78837 + 0.333897i 0.735739 + 0.0250973i
\(178\) 3.87177 + 6.70611i 0.290202 + 0.502644i
\(179\) 4.65902 8.06965i 0.348231 0.603154i −0.637704 0.770281i \(-0.720116\pi\)
0.985935 + 0.167127i \(0.0534491\pi\)
\(180\) −12.3105 + 2.41357i −0.917570 + 0.179897i
\(181\) 19.6182i 1.45821i 0.684401 + 0.729105i \(0.260064\pi\)
−0.684401 + 0.729105i \(0.739936\pi\)
\(182\) 3.42778 + 1.11817i 0.254084 + 0.0828844i
\(183\) −1.34495 1.43994i −0.0994212 0.106444i
\(184\) −0.582847 2.17522i −0.0429681 0.160359i
\(185\) −17.0836 9.86325i −1.25601 0.725160i
\(186\) 1.51024 4.95409i 0.110736 0.363252i
\(187\) 2.05016 2.05016i 0.149923 0.149923i
\(188\) −1.33899 + 4.99716i −0.0976555 + 0.364455i
\(189\) 2.12497 + 4.74178i 0.154569 + 0.344914i
\(190\) −23.4862 23.4862i −1.70387 1.70387i
\(191\) −13.7253 + 7.92432i −0.993129 + 0.573383i −0.906208 0.422832i \(-0.861036\pi\)
−0.0869210 + 0.996215i \(0.527703\pi\)
\(192\) 0.390990 + 1.68734i 0.0282173 + 0.121773i
\(193\) −3.29073 + 0.881750i −0.236872 + 0.0634697i −0.375302 0.926902i \(-0.622461\pi\)
0.138430 + 0.990372i \(0.455794\pi\)
\(194\) 16.7705 1.20405
\(195\) 20.0106 16.7787i 1.43299 1.20155i
\(196\) −1.00000 −0.0714286
\(197\) 3.13569 0.840205i 0.223408 0.0598621i −0.145378 0.989376i \(-0.546440\pi\)
0.368787 + 0.929514i \(0.379773\pi\)
\(198\) 1.75183 + 1.17751i 0.124497 + 0.0836820i
\(199\) −11.8560 + 6.84505i −0.840447 + 0.485232i −0.857416 0.514624i \(-0.827932\pi\)
0.0169689 + 0.999856i \(0.494598\pi\)
\(200\) −8.82890 8.82890i −0.624297 0.624297i
\(201\) −9.10393 17.0887i −0.642141 1.20534i
\(202\) 2.91528 10.8800i 0.205118 0.765512i
\(203\) −1.40678 + 1.40678i −0.0987367 + 0.0987367i
\(204\) −6.82720 2.08125i −0.478000 0.145717i
\(205\) 5.60542 + 3.23629i 0.391500 + 0.226032i
\(206\) 0.458900 + 1.71264i 0.0319730 + 0.119325i
\(207\) −0.460371 + 6.74014i −0.0319980 + 0.468472i
\(208\) −2.40946 2.68226i −0.167066 0.185981i
\(209\) 5.58866i 0.386576i
\(210\) −3.83312 + 6.14532i −0.264511 + 0.424068i
\(211\) −10.3513 + 17.9290i −0.712614 + 1.23428i 0.251259 + 0.967920i \(0.419156\pi\)
−0.963873 + 0.266364i \(0.914178\pi\)
\(212\) −0.0808394 0.140018i −0.00555207 0.00961648i
\(213\) 0.0788023 2.31013i 0.00539945 0.158287i
\(214\) −11.5750 3.10152i −0.791252 0.212015i
\(215\) 49.1634 + 13.1733i 3.35292 + 0.898411i
\(216\) 0.530615 5.16899i 0.0361038 0.351705i
\(217\) −1.49510 2.58959i −0.101494 0.175793i
\(218\) 5.58105 9.66667i 0.377997 0.654709i
\(219\) −9.48819 5.91822i −0.641153 0.399917i
\(220\) 2.94218i 0.198362i
\(221\) 14.5366 3.07214i 0.977835 0.206655i
\(222\) 5.97126 5.57732i 0.400765 0.374325i
\(223\) 0.772639 + 2.88353i 0.0517397 + 0.193095i 0.986958 0.160975i \(-0.0514639\pi\)
−0.935219 + 0.354071i \(0.884797\pi\)
\(224\) 0.866025 + 0.500000i 0.0578638 + 0.0334077i
\(225\) 16.4748 + 33.6403i 1.09832 + 2.24269i
\(226\) −2.52445 + 2.52445i −0.167924 + 0.167924i
\(227\) 0.255531 0.953656i 0.0169602 0.0632963i −0.956927 0.290328i \(-0.906236\pi\)
0.973887 + 0.227032i \(0.0729022\pi\)
\(228\) 12.1421 6.46864i 0.804127 0.428396i
\(229\) −4.45709 4.45709i −0.294533 0.294533i 0.544335 0.838868i \(-0.316782\pi\)
−0.838868 + 0.544335i \(0.816782\pi\)
\(230\) −8.15519 + 4.70840i −0.537737 + 0.310463i
\(231\) 1.18721 0.275100i 0.0781127 0.0181002i
\(232\) 1.92170 0.514918i 0.126166 0.0338060i
\(233\) −26.6522 −1.74605 −0.873023 0.487679i \(-0.837844\pi\)
−0.873023 + 0.487679i \(0.837844\pi\)
\(234\) 4.23089 + 9.95488i 0.276582 + 0.650771i
\(235\) 21.6334 1.41121
\(236\) −5.46193 + 1.46352i −0.355541 + 0.0952670i
\(237\) −12.4297 + 2.88020i −0.807395 + 0.187089i
\(238\) −3.56869 + 2.06039i −0.231324 + 0.133555i
\(239\) −9.69089 9.69089i −0.626852 0.626852i 0.320423 0.947275i \(-0.396175\pi\)
−0.947275 + 0.320423i \(0.896175\pi\)
\(240\) 6.39224 3.40545i 0.412618 0.219821i
\(241\) 3.65471 13.6396i 0.235421 0.878601i −0.742538 0.669804i \(-0.766378\pi\)
0.977959 0.208798i \(-0.0669550\pi\)
\(242\) −7.42812 + 7.42812i −0.477498 + 0.477498i
\(243\) −6.53083 + 14.1544i −0.418953 + 0.908008i
\(244\) 0.985179 + 0.568793i 0.0630696 + 0.0364133i
\(245\) 1.08228 + 4.03913i 0.0691445 + 0.258051i
\(246\) −1.95927 + 1.83001i −0.124918 + 0.116677i
\(247\) −15.6258 + 24.0003i −0.994246 + 1.52711i
\(248\) 2.99020i 0.189878i
\(249\) −21.5270 13.4274i −1.36422 0.850925i
\(250\) −15.6517 + 27.1095i −0.989900 + 1.71456i
\(251\) −6.10097 10.5672i −0.385090 0.666995i 0.606692 0.794937i \(-0.292496\pi\)
−0.991782 + 0.127942i \(0.959163\pi\)
\(252\) −1.97183 2.26094i −0.124214 0.142426i
\(253\) 1.53048 + 0.410090i 0.0962203 + 0.0257821i
\(254\) 9.54890 + 2.55862i 0.599151 + 0.160542i
\(255\) −1.01750 + 29.8285i −0.0637183 + 1.86793i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −5.98242 + 10.3619i −0.373173 + 0.646355i −0.990052 0.140703i \(-0.955064\pi\)
0.616879 + 0.787058i \(0.288397\pi\)
\(258\) −11.1574 + 17.8877i −0.694627 + 1.11364i
\(259\) 4.71743i 0.293127i
\(260\) −8.22628 + 12.6351i −0.510172 + 0.783595i
\(261\) −5.95459 0.406715i −0.368580 0.0251750i
\(262\) 2.91108 + 10.8643i 0.179847 + 0.671198i
\(263\) −27.4691 15.8593i −1.69381 0.977924i −0.951387 0.307998i \(-0.900341\pi\)
−0.742428 0.669926i \(-0.766326\pi\)
\(264\) −1.16570 0.355362i −0.0717441 0.0218710i
\(265\) −0.478060 + 0.478060i −0.0293670 + 0.0293670i
\(266\) 2.05579 7.67233i 0.126049 0.470421i
\(267\) 6.30622 + 11.8372i 0.385934 + 0.724424i
\(268\) 7.90468 + 7.90468i 0.482855 + 0.482855i
\(269\) −8.83825 + 5.10277i −0.538878 + 0.311121i −0.744624 0.667484i \(-0.767371\pi\)
0.205746 + 0.978605i \(0.434038\pi\)
\(270\) −21.4525 + 3.45108i −1.30556 + 0.210026i
\(271\) 2.64573 0.708922i 0.160717 0.0430639i −0.177563 0.984109i \(-0.556822\pi\)
0.338280 + 0.941045i \(0.390155\pi\)
\(272\) 4.12077 0.249858
\(273\) 5.86762 + 2.13801i 0.355124 + 0.129398i
\(274\) 14.0442 0.848440
\(275\) 8.48574 2.27375i 0.511709 0.137112i
\(276\) −0.880491 3.79981i −0.0529993 0.228722i
\(277\) 22.3808 12.9216i 1.34473 0.776382i 0.357236 0.934014i \(-0.383719\pi\)
0.987498 + 0.157632i \(0.0503859\pi\)
\(278\) 8.10157 + 8.10157i 0.485900 + 0.485900i
\(279\) 2.90683 8.48658i 0.174027 0.508078i
\(280\) 1.08228 4.03913i 0.0646788 0.241384i
\(281\) 10.3140 10.3140i 0.615281 0.615281i −0.329036 0.944317i \(-0.606724\pi\)
0.944317 + 0.329036i \(0.106724\pi\)
\(282\) −2.61292 + 8.57124i −0.155597 + 0.510410i
\(283\) −22.7040 13.1081i −1.34961 0.779198i −0.361416 0.932405i \(-0.617707\pi\)
−0.988194 + 0.153207i \(0.951040\pi\)
\(284\) 0.345402 + 1.28906i 0.0204958 + 0.0764914i
\(285\) −39.2688 42.0425i −2.32609 2.49038i
\(286\) 2.48203 0.524550i 0.146766 0.0310173i
\(287\) 1.54787i 0.0913676i
\(288\) 0.577186 + 2.94395i 0.0340110 + 0.173474i
\(289\) 0.00962336 0.0166681i 0.000566080 0.000980479i
\(290\) −4.15964 7.20471i −0.244263 0.423075i
\(291\) 29.0305 + 0.990278i 1.70180 + 0.0580511i
\(292\) 6.23630 + 1.67101i 0.364952 + 0.0977886i
\(293\) −8.71015 2.33388i −0.508853 0.136347i −0.00474716 0.999989i \(-0.501511\pi\)
−0.504106 + 0.863642i \(0.668178\pi\)
\(294\) −1.73104 0.0590488i −0.100957 0.00344379i
\(295\) 11.8227 + 20.4775i 0.688344 + 1.19225i
\(296\) −2.35871 + 4.08541i −0.137098 + 0.237460i
\(297\) 2.96297 + 2.14177i 0.171929 + 0.124278i
\(298\) 15.6220i 0.904956i
\(299\) 5.42598 + 6.04031i 0.313793 + 0.349320i
\(300\) −14.7619 15.8045i −0.852277 0.912476i
\(301\) 3.15028 + 11.7570i 0.181579 + 0.677663i
\(302\) 9.08382 + 5.24455i 0.522715 + 0.301790i
\(303\) 5.68892 18.6616i 0.326820 1.07208i
\(304\) −5.61654 + 5.61654i −0.322130 + 0.322130i
\(305\) 1.23119 4.59487i 0.0704978 0.263101i
\(306\) −11.6953 4.00588i −0.668575 0.229001i
\(307\) 8.27001 + 8.27001i 0.471994 + 0.471994i 0.902559 0.430565i \(-0.141686\pi\)
−0.430565 + 0.902559i \(0.641686\pi\)
\(308\) −0.609333 + 0.351799i −0.0347200 + 0.0200456i
\(309\) 0.693246 + 2.99175i 0.0394374 + 0.170195i
\(310\) 12.0778 3.23624i 0.685974 0.183806i
\(311\) 11.0118 0.624422 0.312211 0.950013i \(-0.398930\pi\)
0.312211 + 0.950013i \(0.398930\pi\)
\(312\) −4.01250 4.78538i −0.227163 0.270919i
\(313\) −19.0403 −1.07622 −0.538110 0.842874i \(-0.680862\pi\)
−0.538110 + 0.842874i \(0.680862\pi\)
\(314\) −14.7381 + 3.94907i −0.831720 + 0.222859i
\(315\) −6.99818 + 10.4115i −0.394303 + 0.586621i
\(316\) 6.37951 3.68321i 0.358876 0.207197i
\(317\) −4.70491 4.70491i −0.264254 0.264254i 0.562526 0.826780i \(-0.309830\pi\)
−0.826780 + 0.562526i \(0.809830\pi\)
\(318\) −0.131669 0.247151i −0.00738361 0.0138595i
\(319\) −0.362295 + 1.35210i −0.0202846 + 0.0757032i
\(320\) −2.95685 + 2.95685i −0.165293 + 0.165293i
\(321\) −19.8537 6.05235i −1.10813 0.337810i
\(322\) −1.95025 1.12597i −0.108683 0.0627481i
\(323\) −8.47146 31.6159i −0.471365 1.75916i
\(324\) 1.22374 8.91642i 0.0679856 0.495356i
\(325\) 42.7991 + 13.9614i 2.37407 + 0.774441i
\(326\) 1.16394i 0.0644647i
\(327\) 10.2319 16.4039i 0.565823 0.907136i
\(328\) 0.773933 1.34049i 0.0427333 0.0740162i
\(329\) 2.58672 + 4.48033i 0.142611 + 0.247009i
\(330\) −0.173732 + 5.09304i −0.00956363 + 0.280363i
\(331\) −22.6950 6.08110i −1.24743 0.334247i −0.426085 0.904683i \(-0.640108\pi\)
−0.821342 + 0.570436i \(0.806774\pi\)
\(332\) 14.1490 + 3.79122i 0.776529 + 0.208070i
\(333\) 10.6658 9.30199i 0.584485 0.509746i
\(334\) −11.9282 20.6603i −0.652685 1.13048i
\(335\) 23.3730 40.4832i 1.27700 2.21183i
\(336\) 1.46960 + 0.916660i 0.0801735 + 0.0500079i
\(337\) 7.09525i 0.386503i 0.981149 + 0.193251i \(0.0619033\pi\)
−0.981149 + 0.193251i \(0.938097\pi\)
\(338\) 12.1257 + 4.68706i 0.659549 + 0.254942i
\(339\) −4.51900 + 4.22087i −0.245438 + 0.229246i
\(340\) −4.45984 16.6443i −0.241869 0.902667i
\(341\) −1.82203 1.05195i −0.0986684 0.0569662i
\(342\) 21.4004 10.4805i 1.15720 0.566722i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 3.15028 11.7570i 0.169852 0.633896i
\(345\) −14.3950 + 7.66889i −0.775001 + 0.412879i
\(346\) 9.93995 + 9.93995i 0.534375 + 0.534375i
\(347\) −20.1321 + 11.6233i −1.08075 + 0.623971i −0.931099 0.364767i \(-0.881148\pi\)
−0.149651 + 0.988739i \(0.547815\pi\)
\(348\) 3.35695 0.777871i 0.179951 0.0416983i
\(349\) −26.0797 + 6.98803i −1.39601 + 0.374061i −0.876912 0.480652i \(-0.840400\pi\)
−0.519102 + 0.854712i \(0.673734\pi\)
\(350\) −12.4859 −0.667402
\(351\) 6.73604 + 17.4822i 0.359543 + 0.933128i
\(352\) 0.703598 0.0375019
\(353\) 15.0133 4.02279i 0.799075 0.214112i 0.163897 0.986477i \(-0.447593\pi\)
0.635178 + 0.772366i \(0.280927\pi\)
\(354\) −9.54126 + 2.21090i −0.507112 + 0.117508i
\(355\) 4.83285 2.79025i 0.256501 0.148091i
\(356\) −5.47551 5.47551i −0.290202 0.290202i
\(357\) −6.29923 + 3.35589i −0.333390 + 0.177613i
\(358\) −2.41168 + 9.00053i −0.127461 + 0.475693i
\(359\) 0.0696043 0.0696043i 0.00367357 0.00367357i −0.705268 0.708941i \(-0.749173\pi\)
0.708941 + 0.705268i \(0.249173\pi\)
\(360\) 11.2663 5.51752i 0.593788 0.290799i
\(361\) 38.1839 + 22.0455i 2.00968 + 1.16029i
\(362\) −5.07757 18.9497i −0.266871 0.995977i
\(363\) −13.2970 + 12.4198i −0.697913 + 0.651870i
\(364\) −3.60039 0.192896i −0.188712 0.0101105i
\(365\) 26.9978i 1.41313i
\(366\) 1.67180 + 1.04278i 0.0873865 + 0.0545070i
\(367\) 3.54542 6.14085i 0.185069 0.320550i −0.758531 0.651638i \(-0.774082\pi\)
0.943600 + 0.331088i \(0.107416\pi\)
\(368\) 1.12597 + 1.95025i 0.0586955 + 0.101664i
\(369\) −3.49964 + 3.05213i −0.182184 + 0.158888i
\(370\) 19.0543 + 5.10559i 0.990588 + 0.265427i
\(371\) −0.156170 0.0418456i −0.00810793 0.00217251i
\(372\) −0.176568 + 5.17617i −0.00915460 + 0.268372i
\(373\) −2.18505 3.78462i −0.113138 0.195960i 0.803896 0.594770i \(-0.202757\pi\)
−0.917034 + 0.398809i \(0.869423\pi\)
\(374\) −1.44968 + 2.51092i −0.0749613 + 0.129837i
\(375\) −28.6946 + 46.0036i −1.48178 + 2.37561i
\(376\) 5.17344i 0.266800i
\(377\) −5.33632 + 4.79360i −0.274834 + 0.246883i
\(378\) −3.27983 4.03023i −0.168696 0.207293i
\(379\) 1.33638 + 4.98744i 0.0686452 + 0.256187i 0.991717 0.128439i \(-0.0409968\pi\)
−0.923072 + 0.384627i \(0.874330\pi\)
\(380\) 28.7646 + 16.6073i 1.47559 + 0.851935i
\(381\) 16.3785 + 4.99293i 0.839095 + 0.255796i
\(382\) 11.2067 11.2067i 0.573383 0.573383i
\(383\) 1.23338 4.60305i 0.0630230 0.235205i −0.927229 0.374496i \(-0.877816\pi\)
0.990251 + 0.139291i \(0.0444824\pi\)
\(384\) −0.814384 1.52865i −0.0415589 0.0780087i
\(385\) 2.08043 + 2.08043i 0.106029 + 0.106029i
\(386\) 2.95039 1.70341i 0.150171 0.0867013i
\(387\) −20.3701 + 30.3055i −1.03547 + 1.54052i
\(388\) −16.1991 + 4.34053i −0.822383 + 0.220357i
\(389\) 23.4268 1.18779 0.593894 0.804543i \(-0.297590\pi\)
0.593894 + 0.804543i \(0.297590\pi\)
\(390\) −14.9861 + 21.3862i −0.758853 + 1.08293i
\(391\) −9.27977 −0.469298
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) 4.39768 + 18.9784i 0.221833 + 0.957336i
\(394\) −2.81138 + 1.62315i −0.141635 + 0.0817732i
\(395\) −21.7814 21.7814i −1.09594 1.09594i
\(396\) −1.99690 0.683980i −0.100348 0.0343713i
\(397\) −2.12137 + 7.91705i −0.106468 + 0.397345i −0.998508 0.0546125i \(-0.982608\pi\)
0.892039 + 0.451958i \(0.149274\pi\)
\(398\) 9.68036 9.68036i 0.485232 0.485232i
\(399\) 4.01171 13.1597i 0.200837 0.658812i
\(400\) 10.8131 + 6.24297i 0.540657 + 0.312149i
\(401\) −2.64602 9.87506i −0.132136 0.493137i 0.867858 0.496813i \(-0.165497\pi\)
−0.999993 + 0.00367599i \(0.998830\pi\)
\(402\) 13.2166 + 14.1501i 0.659184 + 0.705743i
\(403\) −4.88342 9.61192i −0.243260 0.478804i
\(404\) 11.2638i 0.560394i
\(405\) −37.3390 + 4.70723i −1.85539 + 0.233904i
\(406\) 0.994745 1.72295i 0.0493683 0.0855085i
\(407\) −1.65959 2.87449i −0.0822626 0.142483i
\(408\) 7.13324 + 0.243326i 0.353148 + 0.0120465i
\(409\) −31.7278 8.50144i −1.56884 0.420369i −0.633391 0.773832i \(-0.718338\pi\)
−0.935449 + 0.353463i \(0.885004\pi\)
\(410\) −6.25204 1.67523i −0.308766 0.0827336i
\(411\) 24.3111 + 0.829291i 1.19918 + 0.0409059i
\(412\) −0.886526 1.53551i −0.0436760 0.0756490i
\(413\) −2.82730 + 4.89703i −0.139122 + 0.240967i
\(414\) −1.29979 6.62963i −0.0638814 0.325829i
\(415\) 61.2530i 3.00679i
\(416\) 3.02158 + 1.96725i 0.148145 + 0.0964522i
\(417\) 13.5458 + 14.5026i 0.663340 + 0.710193i
\(418\) −1.44645 5.39823i −0.0707483 0.264036i
\(419\) 14.6566 + 8.46199i 0.716021 + 0.413395i 0.813287 0.581863i \(-0.197676\pi\)
−0.0972651 + 0.995259i \(0.531009\pi\)
\(420\) 2.11199 6.92801i 0.103054 0.338052i
\(421\) −9.35311 + 9.35311i −0.455843 + 0.455843i −0.897288 0.441445i \(-0.854466\pi\)
0.441445 + 0.897288i \(0.354466\pi\)
\(422\) 5.35823 19.9972i 0.260835 0.973449i
\(423\) −5.02920 + 14.6829i −0.244528 + 0.713907i
\(424\) 0.114324 + 0.114324i 0.00555207 + 0.00555207i
\(425\) −44.5585 + 25.7259i −2.16140 + 1.24789i
\(426\) 0.521788 + 2.25181i 0.0252807 + 0.109100i
\(427\) 1.09882 0.294429i 0.0531758 0.0142484i
\(428\) 11.9833 0.579237
\(429\) 4.32748 0.761458i 0.208933 0.0367635i
\(430\) −50.8977 −2.45450
\(431\) 33.4316 8.95798i 1.61034 0.431491i 0.662199 0.749328i \(-0.269623\pi\)
0.948145 + 0.317837i \(0.102957\pi\)
\(432\) 0.825298 + 5.13019i 0.0397072 + 0.246827i
\(433\) 10.2297 5.90611i 0.491607 0.283829i −0.233634 0.972325i \(-0.575062\pi\)
0.725241 + 0.688495i \(0.241728\pi\)
\(434\) 2.11439 + 2.11439i 0.101494 + 0.101494i
\(435\) −6.77510 12.7173i −0.324841 0.609748i
\(436\) −2.88897 + 10.7818i −0.138356 + 0.516353i
\(437\) 12.6482 12.6482i 0.605043 0.605043i
\(438\) 10.6966 + 3.26084i 0.511105 + 0.155809i
\(439\) 9.96798 + 5.75502i 0.475746 + 0.274672i 0.718642 0.695380i \(-0.244764\pi\)
−0.242896 + 0.970052i \(0.578097\pi\)
\(440\) −0.761492 2.84193i −0.0363027 0.135483i
\(441\) −2.99303 0.204432i −0.142525 0.00973486i
\(442\) −13.2461 + 6.72980i −0.630053 + 0.320104i
\(443\) 24.7030i 1.17367i −0.809706 0.586836i \(-0.800373\pi\)
0.809706 0.586836i \(-0.199627\pi\)
\(444\) −4.32428 + 6.93275i −0.205221 + 0.329014i
\(445\) −16.1903 + 28.0424i −0.767493 + 1.32934i
\(446\) −1.49262 2.58530i −0.0706778 0.122417i
\(447\) −0.922458 + 27.0423i −0.0436308 + 1.27906i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) 34.4014 + 9.21781i 1.62350 + 0.435016i 0.952027 0.306013i \(-0.0989953\pi\)
0.671473 + 0.741029i \(0.265662\pi\)
\(450\) −24.6202 28.2300i −1.16061 1.33078i
\(451\) 0.544537 + 0.943166i 0.0256413 + 0.0444120i
\(452\) 1.78506 3.09181i 0.0839620 0.145426i
\(453\) 15.4148 + 9.61493i 0.724251 + 0.451749i
\(454\) 0.987297i 0.0463361i
\(455\) 3.11750 + 14.7512i 0.146151 + 0.691548i
\(456\) −10.0541 + 9.39082i −0.470827 + 0.439765i
\(457\) 8.49655 + 31.7096i 0.397452 + 1.48331i 0.817564 + 0.575838i \(0.195324\pi\)
−0.420112 + 0.907472i \(0.638009\pi\)
\(458\) 5.45879 + 3.15164i 0.255073 + 0.147266i
\(459\) −20.0085 7.62494i −0.933917 0.355902i
\(460\) 6.65868 6.65868i 0.310463 0.310463i
\(461\) −9.25958 + 34.5572i −0.431261 + 1.60949i 0.318596 + 0.947890i \(0.396789\pi\)
−0.749858 + 0.661599i \(0.769878\pi\)
\(462\) −1.07556 + 0.572999i −0.0500394 + 0.0266583i
\(463\) −12.6508 12.6508i −0.587932 0.587932i 0.349139 0.937071i \(-0.386474\pi\)
−0.937071 + 0.349139i \(0.886474\pi\)
\(464\) −1.72295 + 0.994745i −0.0799859 + 0.0461799i
\(465\) 21.0983 4.88890i 0.978412 0.226717i
\(466\) 25.7441 6.89811i 1.19257 0.319549i
\(467\) 4.37635 0.202513 0.101257 0.994860i \(-0.467714\pi\)
0.101257 + 0.994860i \(0.467714\pi\)
\(468\) −6.66324 8.52064i −0.308008 0.393867i
\(469\) 11.1789 0.516194
\(470\) −20.8962 + 5.59913i −0.963871 + 0.258268i
\(471\) −25.7455 + 5.96574i −1.18629 + 0.274887i
\(472\) 4.89703 2.82730i 0.225404 0.130137i
\(473\) 6.05568 + 6.05568i 0.278440 + 0.278440i
\(474\) 11.2607 5.99910i 0.517221 0.275548i
\(475\) 25.6685 95.7963i 1.17775 4.39544i
\(476\) 2.91383 2.91383i 0.133555 0.133555i
\(477\) −0.213330 0.435604i −0.00976773 0.0199449i
\(478\) 11.8689 + 6.85249i 0.542869 + 0.313426i
\(479\) −3.87231 14.4516i −0.176930 0.660313i −0.996215 0.0869256i \(-0.972296\pi\)
0.819285 0.573387i \(-0.194371\pi\)
\(480\) −5.29304 + 4.94384i −0.241593 + 0.225654i
\(481\) 0.909974 16.9846i 0.0414912 0.774430i
\(482\) 14.1207i 0.643181i
\(483\) −3.30947 2.06427i −0.150586 0.0939276i
\(484\) 5.25248 9.09755i 0.238749 0.413525i
\(485\) 35.0640 + 60.7326i 1.59217 + 2.75772i
\(486\) 2.64485 15.3624i 0.119973 0.696855i
\(487\) −4.15885 1.11436i −0.188456 0.0504965i 0.163357 0.986567i \(-0.447768\pi\)
−0.351812 + 0.936071i \(0.614434\pi\)
\(488\) −1.09882 0.294429i −0.0497414 0.0133282i
\(489\) 0.0687292 2.01483i 0.00310804 0.0911138i
\(490\) −2.09081 3.62139i −0.0944532 0.163598i
\(491\) −2.76830 + 4.79484i −0.124932 + 0.216388i −0.921706 0.387889i \(-0.873204\pi\)
0.796775 + 0.604277i \(0.206538\pi\)
\(492\) 1.41887 2.27475i 0.0639674 0.102554i
\(493\) 8.19823i 0.369230i
\(494\) 8.88162 27.2268i 0.399603 1.22499i
\(495\) −0.601476 + 8.80602i −0.0270343 + 0.395801i
\(496\) −0.773920 2.88831i −0.0347501 0.129689i
\(497\) 1.15574 + 0.667265i 0.0518419 + 0.0299309i
\(498\) 24.2687 + 7.39825i 1.08751 + 0.331524i
\(499\) 0.246664 0.246664i 0.0110422 0.0110422i −0.701564 0.712606i \(-0.747515\pi\)
0.712606 + 0.701564i \(0.247515\pi\)
\(500\) 8.10191 30.2368i 0.362329 1.35223i
\(501\) −19.4284 36.4683i −0.867995 1.62928i
\(502\) 8.62808 + 8.62808i 0.385090 + 0.385090i
\(503\) −11.2647 + 6.50369i −0.502269 + 0.289985i −0.729650 0.683821i \(-0.760317\pi\)
0.227381 + 0.973806i \(0.426984\pi\)
\(504\) 2.48982 + 1.67356i 0.110905 + 0.0745461i
\(505\) 45.4959 12.1906i 2.02454 0.542474i
\(506\) −1.58447 −0.0704381
\(507\) 20.7133 + 8.82951i 0.919909 + 0.392132i
\(508\) −9.88575 −0.438609
\(509\) 24.3803 6.53269i 1.08064 0.289557i 0.325782 0.945445i \(-0.394372\pi\)
0.754858 + 0.655888i \(0.227706\pi\)
\(510\) −6.73735 29.0754i −0.298335 1.28748i
\(511\) 5.59131 3.22815i 0.247345 0.142805i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 37.6639 16.8786i 1.66290 0.745208i
\(514\) 3.09673 11.5572i 0.136591 0.509764i
\(515\) −5.24265 + 5.24265i −0.231019 + 0.231019i
\(516\) 6.14752 20.1659i 0.270629 0.887754i
\(517\) 3.15235 + 1.82001i 0.138640 + 0.0800440i
\(518\) 1.22096 + 4.55669i 0.0536459 + 0.200209i
\(519\) 16.6196 + 17.7934i 0.729517 + 0.781045i
\(520\) 4.67577 14.3337i 0.205046 0.628574i
\(521\) 24.4089i 1.06938i 0.845050 + 0.534688i \(0.179571\pi\)
−0.845050 + 0.534688i \(0.820429\pi\)
\(522\) 5.85696 1.14831i 0.256352 0.0502600i
\(523\) 7.91245 13.7048i 0.345987 0.599268i −0.639545 0.768753i \(-0.720877\pi\)
0.985533 + 0.169486i \(0.0542106\pi\)
\(524\) −5.62377 9.74065i −0.245675 0.425522i
\(525\) −21.6137 0.737280i −0.943300 0.0321775i
\(526\) 30.6378 + 8.20936i 1.33587 + 0.357945i
\(527\) 11.9021 + 3.18915i 0.518462 + 0.138922i
\(528\) 1.21796 + 0.0415466i 0.0530048 + 0.00180808i
\(529\) 8.96436 + 15.5267i 0.389755 + 0.675075i
\(530\) 0.338040 0.585502i 0.0146835 0.0254326i
\(531\) −16.6469 + 3.26376i −0.722413 + 0.141635i
\(532\) 7.94298i 0.344372i
\(533\) −0.298577 + 5.57292i −0.0129328 + 0.241390i
\(534\) −9.15503 9.80168i −0.396177 0.424160i
\(535\) −12.9694 48.4023i −0.560715 2.09262i
\(536\) −9.68122 5.58945i −0.418165 0.241428i
\(537\) −4.70620 + 15.4379i −0.203088 + 0.666195i
\(538\) 7.21640 7.21640i 0.311121 0.311121i
\(539\) −0.182104 + 0.679623i −0.00784379 + 0.0292734i
\(540\) 19.8283 8.88581i 0.853276 0.382384i
\(541\) −31.4485 31.4485i −1.35208 1.35208i −0.883335 0.468743i \(-0.844707\pi\)
−0.468743 0.883335i \(-0.655293\pi\)
\(542\) −2.37210 + 1.36953i −0.101890 + 0.0588264i
\(543\) −7.67054 33.1027i −0.329174 1.42057i
\(544\) −3.98036 + 1.06653i −0.170656 + 0.0457273i
\(545\) 46.6757 1.99937
\(546\) −6.22104 0.546510i −0.266236 0.0233885i
\(547\) 22.6058 0.966554 0.483277 0.875467i \(-0.339446\pi\)
0.483277 + 0.875467i \(0.339446\pi\)
\(548\) −13.5656 + 3.63490i −0.579495 + 0.155275i
\(549\) 2.83239 + 1.90382i 0.120883 + 0.0812529i
\(550\) −7.60810 + 4.39254i −0.324411 + 0.187299i
\(551\) 11.1740 + 11.1740i 0.476030 + 0.476030i
\(552\) 1.83395 + 3.44245i 0.0780582 + 0.146520i
\(553\) 1.90657 7.11542i 0.0810757 0.302579i
\(554\) −18.2739 + 18.2739i −0.776382 + 0.776382i
\(555\) 32.6824 + 9.96314i 1.38729 + 0.422912i
\(556\) −9.92236 5.72868i −0.420802 0.242950i
\(557\) −9.86481 36.8160i −0.417985 1.55994i −0.778780 0.627297i \(-0.784161\pi\)
0.360795 0.932645i \(-0.382505\pi\)
\(558\) −0.611293 + 8.94974i −0.0258781 + 0.378873i
\(559\) 9.07436 + 42.9375i 0.383805 + 1.81606i
\(560\) 4.18162i 0.176706i
\(561\) −2.65773 + 4.26092i −0.112209 + 0.179896i
\(562\) −7.29309 + 12.6320i −0.307641 + 0.532849i
\(563\) −9.25884 16.0368i −0.390214 0.675870i 0.602264 0.798297i \(-0.294266\pi\)
−0.992477 + 0.122427i \(0.960932\pi\)
\(564\) 0.305485 8.95545i 0.0128633 0.377093i
\(565\) −14.4202 3.86387i −0.606661 0.162554i
\(566\) 25.3230 + 6.78527i 1.06440 + 0.285206i
\(567\) −5.43954 7.17017i −0.228439 0.301119i
\(568\) −0.667265 1.15574i −0.0279978 0.0484936i
\(569\) −3.95174 + 6.84462i −0.165666 + 0.286941i −0.936891 0.349620i \(-0.886311\pi\)
0.771226 + 0.636562i \(0.219644\pi\)
\(570\) 48.8122 + 30.4464i 2.04452 + 1.27526i
\(571\) 0.428316i 0.0179245i −0.999960 0.00896224i \(-0.997147\pi\)
0.999960 0.00896224i \(-0.00285281\pi\)
\(572\) −2.26170 + 1.14907i −0.0945663 + 0.0480452i
\(573\) 20.0610 18.7375i 0.838060 0.782771i
\(574\) −0.400617 1.49512i −0.0167214 0.0624052i
\(575\) −24.3507 14.0589i −1.01549 0.586295i
\(576\) −1.31947 2.69425i −0.0549779 0.112261i
\(577\) 15.7496 15.7496i 0.655664 0.655664i −0.298687 0.954351i \(-0.596549\pi\)
0.954351 + 0.298687i \(0.0965486\pi\)
\(578\) −0.00498142 + 0.0185909i −0.000207200 + 0.000773279i
\(579\) 5.20784 2.77446i 0.216431 0.115303i
\(580\) 5.88262 + 5.88262i 0.244263 + 0.244263i
\(581\) 12.6857 7.32408i 0.526291 0.303854i
\(582\) −28.2976 + 6.55711i −1.17297 + 0.271801i
\(583\) −0.109881 + 0.0294424i −0.00455079 + 0.00121938i
\(584\) −6.45629 −0.267163
\(585\) −27.2045 + 36.1355i −1.12477 + 1.49402i
\(586\) 9.01742 0.372506
\(587\) −38.7422 + 10.3809i −1.59906 + 0.428467i −0.944759 0.327766i \(-0.893704\pi\)
−0.654303 + 0.756233i \(0.727038\pi\)
\(588\) 1.68734 0.390990i 0.0695849 0.0161242i
\(589\) −20.5691 + 11.8755i −0.847533 + 0.489323i
\(590\) −16.7198 16.7198i −0.688344 0.688344i
\(591\) −4.96247 + 2.64374i −0.204129 + 0.108749i
\(592\) 1.22096 4.55669i 0.0501812 0.187279i
\(593\) 6.08567 6.08567i 0.249909 0.249909i −0.571024 0.820933i \(-0.693454\pi\)
0.820933 + 0.571024i \(0.193454\pi\)
\(594\) −3.41634 1.30191i −0.140174 0.0534182i
\(595\) −14.9229 8.61575i −0.611780 0.353211i
\(596\) −4.04326 15.0897i −0.165619 0.618097i
\(597\) 17.3287 16.1855i 0.709218 0.662429i
\(598\) −6.80444 4.43014i −0.278254 0.181162i
\(599\) 18.8526i 0.770295i 0.922855 + 0.385147i \(0.125849\pi\)
−0.922855 + 0.385147i \(0.874151\pi\)
\(600\) 18.3494 + 11.4454i 0.749111 + 0.467255i
\(601\) 16.9224 29.3104i 0.690278 1.19560i −0.281469 0.959570i \(-0.590822\pi\)
0.971747 0.236025i \(-0.0758449\pi\)
\(602\) −6.08588 10.5411i −0.248042 0.429621i
\(603\) 22.0429 + 25.2749i 0.897658 + 1.02927i
\(604\) −10.1317 2.71478i −0.412253 0.110463i
\(605\) −42.4309 11.3693i −1.72506 0.462229i
\(606\) −0.665112 + 19.4981i −0.0270183 + 0.792056i
\(607\) 22.6553 + 39.2401i 0.919549 + 1.59270i 0.800102 + 0.599864i \(0.204779\pi\)
0.119447 + 0.992841i \(0.461888\pi\)
\(608\) 3.97149 6.87882i 0.161065 0.278973i
\(609\) 1.82368 2.92376i 0.0738994 0.118477i
\(610\) 4.75696i 0.192604i
\(611\) 8.44896 + 16.6299i 0.341808 + 0.672774i
\(612\) 12.3336 + 0.842418i 0.498555 + 0.0340527i
\(613\) −7.88320 29.4205i −0.318400 1.18828i −0.920783 0.390076i \(-0.872449\pi\)
0.602383 0.798207i \(-0.294218\pi\)
\(614\) −10.1286 5.84778i −0.408759 0.235997i
\(615\) −10.7236 3.26907i −0.432419 0.131822i
\(616\) 0.497519 0.497519i 0.0200456 0.0200456i
\(617\) −4.94428 + 18.4523i −0.199049 + 0.742861i 0.792132 + 0.610349i \(0.208971\pi\)
−0.991181 + 0.132512i \(0.957696\pi\)
\(618\) −1.44395 2.71038i −0.0580840 0.109027i
\(619\) 2.17589 + 2.17589i 0.0874563 + 0.0874563i 0.749482 0.662025i \(-0.230303\pi\)
−0.662025 + 0.749482i \(0.730303\pi\)
\(620\) −10.8287 + 6.25194i −0.434890 + 0.251084i
\(621\) −1.85853 11.5529i −0.0745802 0.463603i
\(622\) −10.6366 + 2.85006i −0.426488 + 0.114277i
\(623\) −7.74354 −0.310239
\(624\) 5.11432 + 3.58381i 0.204737 + 0.143467i
\(625\) −68.4691 −2.73877
\(626\) 18.3915 4.92799i 0.735072 0.196962i
\(627\) −2.18511 9.42999i −0.0872650 0.376598i
\(628\) 13.2138 7.62901i 0.527289 0.304431i
\(629\) 13.7458 + 13.7458i 0.548079 + 0.548079i
\(630\) 4.06503 11.8680i 0.161955 0.472832i
\(631\) 3.35835 12.5335i 0.133694 0.498952i −0.866306 0.499513i \(-0.833512\pi\)
1.00000 0.000561713i \(0.000178799\pi\)
\(632\) −5.20885 + 5.20885i −0.207197 + 0.207197i
\(633\) 10.4562 34.2996i 0.415595 1.36329i
\(634\) 5.76231 + 3.32687i 0.228851 + 0.132127i
\(635\) 10.6992 + 39.9299i 0.424584 + 1.58457i
\(636\) 0.191150 + 0.204651i 0.00757957 + 0.00811494i
\(637\) −2.68226 + 2.40946i −0.106275 + 0.0954663i
\(638\) 1.39980i 0.0554186i
\(639\) 0.770272 + 3.92879i 0.0304715 + 0.155421i
\(640\) 2.09081 3.62139i 0.0826465 0.143148i
\(641\) −6.89102 11.9356i −0.272179 0.471428i 0.697241 0.716837i \(-0.254411\pi\)
−0.969419 + 0.245410i \(0.921078\pi\)
\(642\) 20.7437 + 0.707602i 0.818688 + 0.0279268i
\(643\) −7.76316 2.08013i −0.306149 0.0820325i 0.102474 0.994736i \(-0.467324\pi\)
−0.408623 + 0.912703i \(0.633991\pi\)
\(644\) 2.17522 + 0.582847i 0.0857155 + 0.0229674i
\(645\) −88.1062 3.00545i −3.46918 0.118339i
\(646\) 16.3656 + 28.3461i 0.643896 + 1.11526i
\(647\) 21.3142 36.9173i 0.837948 1.45137i −0.0536593 0.998559i \(-0.517088\pi\)
0.891607 0.452809i \(-0.149578\pi\)
\(648\) 1.12569 + 8.92932i 0.0442215 + 0.350777i
\(649\) 3.97857i 0.156172i
\(650\) −44.9542 2.40849i −1.76325 0.0944688i
\(651\) 3.53525 + 3.78495i 0.138557 + 0.148344i
\(652\) 0.301250 + 1.12428i 0.0117979 + 0.0440302i
\(653\) 12.7454 + 7.35857i 0.498766 + 0.287963i 0.728204 0.685360i \(-0.240355\pi\)
−0.229438 + 0.973323i \(0.573689\pi\)
\(654\) −5.63758 + 18.4931i −0.220447 + 0.723138i
\(655\) −33.2573 + 33.2573i −1.29947 + 1.29947i
\(656\) −0.400617 + 1.49512i −0.0156415 + 0.0583748i
\(657\) 18.3238 + 6.27628i 0.714880 + 0.244861i
\(658\) −3.65818 3.65818i −0.142611 0.142611i
\(659\) −24.2047 + 13.9746i −0.942881 + 0.544373i −0.890862 0.454273i \(-0.849899\pi\)
−0.0520190 + 0.998646i \(0.516566\pi\)
\(660\) −1.15036 4.96446i −0.0447778 0.193241i
\(661\) −5.53110 + 1.48206i −0.215135 + 0.0576453i −0.364777 0.931095i \(-0.618855\pi\)
0.149642 + 0.988740i \(0.452188\pi\)
\(662\) 23.4956 0.913181
\(663\) −23.3270 + 10.8674i −0.905945 + 0.422055i
\(664\) −14.6482 −0.568459
\(665\) 32.0828 8.59655i 1.24412 0.333360i
\(666\) −7.89488 + 11.7456i −0.305921 + 0.455131i
\(667\) 3.87999 2.24011i 0.150234 0.0867376i
\(668\) 16.8691 + 16.8691i 0.652685 + 0.652685i
\(669\) −2.43114 4.56341i −0.0939932 0.176431i
\(670\) −12.0987 + 45.1531i −0.467415 + 1.74442i
\(671\) 0.565971 0.565971i 0.0218491 0.0218491i
\(672\) −1.65678 0.505064i −0.0639116 0.0194833i
\(673\) −4.37077 2.52346i −0.168481 0.0972723i 0.413389 0.910555i \(-0.364345\pi\)
−0.581869 + 0.813282i \(0.697678\pi\)
\(674\) −1.83638 6.85348i −0.0707349 0.263986i
\(675\) −40.9517 50.3212i −1.57623 1.93686i
\(676\) −12.9256 1.38900i −0.497138 0.0534231i
\(677\) 39.7859i 1.52910i 0.644567 + 0.764548i \(0.277038\pi\)
−0.644567 + 0.764548i \(0.722962\pi\)
\(678\) 3.27258 5.24665i 0.125683 0.201496i
\(679\) −8.38526 + 14.5237i −0.321797 + 0.557368i
\(680\) 8.61575 + 14.9229i 0.330399 + 0.572268i
\(681\) −0.0582987 + 1.70905i −0.00223401 + 0.0654911i
\(682\) 2.03221 + 0.544529i 0.0778173 + 0.0208511i
\(683\) −0.880806 0.236011i −0.0337031 0.00903072i 0.241928 0.970294i \(-0.422220\pi\)
−0.275631 + 0.961263i \(0.588887\pi\)
\(684\) −17.9586 + 15.6622i −0.686666 + 0.598861i
\(685\) 29.3637 + 50.8594i 1.12193 + 1.94324i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) 9.26331 + 5.77796i 0.353417 + 0.220443i
\(688\) 12.1718i 0.464044i
\(689\) −0.554200 0.180785i −0.0211133 0.00688735i
\(690\) 11.9197 11.1333i 0.453774 0.423837i
\(691\) 5.43485 + 20.2831i 0.206751 + 0.771607i 0.988909 + 0.148525i \(0.0474527\pi\)
−0.782157 + 0.623081i \(0.785881\pi\)
\(692\) −12.1739 7.02861i −0.462782 0.267188i
\(693\) −1.89567 + 0.928376i −0.0720105 + 0.0352661i
\(694\) 16.4378 16.4378i 0.623971 0.623971i
\(695\) −12.4001 + 46.2778i −0.470362 + 1.75542i
\(696\) −3.04124 + 1.62021i −0.115278 + 0.0614138i
\(697\) −4.51021 4.51021i −0.170836 0.170836i
\(698\) 23.3824 13.4998i 0.885037 0.510976i
\(699\) 44.9715 10.4208i 1.70098 0.394150i
\(700\) 12.0605 3.23160i 0.455844 0.122143i
\(701\) −6.08878 −0.229970 −0.114985 0.993367i \(-0.536682\pi\)
−0.114985 + 0.993367i \(0.536682\pi\)
\(702\) −11.0312 15.1431i −0.416347 0.571538i
\(703\) −37.4705 −1.41322
\(704\) −0.679623 + 0.182104i −0.0256143 + 0.00686332i
\(705\) −36.5029 + 8.45844i −1.37478 + 0.318563i
\(706\) −13.4605 + 7.77144i −0.506593 + 0.292482i
\(707\) 7.96469 + 7.96469i 0.299543 + 0.299543i
\(708\) 8.64393 4.60502i 0.324859 0.173067i
\(709\) −7.96160 + 29.7131i −0.299004 + 1.11590i 0.638981 + 0.769223i \(0.279356\pi\)
−0.937985 + 0.346676i \(0.887310\pi\)
\(710\) −3.94601 + 3.94601i −0.148091 + 0.148091i
\(711\) 19.8470 9.71978i 0.744321 0.364520i
\(712\) 6.70611 + 3.87177i 0.251322 + 0.145101i
\(713\) 1.74283 + 6.50433i 0.0652695 + 0.243589i
\(714\) 5.21602 4.87190i 0.195205 0.182326i
\(715\) 7.08906 + 7.89168i 0.265116 + 0.295132i
\(716\) 9.31803i 0.348231i
\(717\) 20.1409 + 12.5628i 0.752176 + 0.469167i
\(718\) −0.0492176 + 0.0852475i −0.00183679 + 0.00318141i
\(719\) −13.6742 23.6844i −0.509962 0.883281i −0.999933 0.0115420i \(-0.996326\pi\)
0.489971 0.871739i \(-0.337007\pi\)
\(720\) −9.45441 + 8.24546i −0.352345 + 0.307290i
\(721\) −1.71264 0.458900i −0.0637819 0.0170903i
\(722\) −42.5886 11.4116i −1.58498 0.424695i
\(723\) −0.833811 + 24.4436i −0.0310098 + 0.909066i
\(724\) 9.80911 + 16.9899i 0.364553 + 0.631424i
\(725\) 12.4203 21.5126i 0.461279 0.798959i
\(726\) 9.62946 15.4381i 0.357383 0.572962i
\(727\) 0.552818i 0.0205029i −0.999947 0.0102514i \(-0.996737\pi\)
0.999947 0.0102514i \(-0.00326319\pi\)
\(728\) 3.52763 0.745526i 0.130743 0.0276310i
\(729\) 5.48549 26.4369i 0.203166 0.979144i
\(730\) 6.98754 + 26.0778i 0.258620 + 0.965184i
\(731\) −43.4373 25.0785i −1.60659 0.927563i
\(732\) −1.88473 0.574554i −0.0696615 0.0212361i
\(733\) −32.0572 + 32.0572i −1.18406 + 1.18406i −0.205378 + 0.978683i \(0.565842\pi\)
−0.978683 + 0.205378i \(0.934158\pi\)
\(734\) −1.83524 + 6.84923i −0.0677401 + 0.252810i
\(735\) −3.40545 6.39224i −0.125612 0.235781i
\(736\) −1.59237 1.59237i −0.0586955 0.0586955i
\(737\) 6.81168 3.93273i 0.250912 0.144864i
\(738\) 2.59044 3.85391i 0.0953554 0.141864i
\(739\) 14.1468 3.79062i 0.520398 0.139440i 0.0109472 0.999940i \(-0.496515\pi\)
0.509451 + 0.860500i \(0.329849\pi\)
\(740\) −19.7265 −0.725160
\(741\) 16.9822 46.6064i 0.623856 1.71213i
\(742\) 0.161679 0.00593542
\(743\) −8.50232 + 2.27819i −0.311920 + 0.0835787i −0.411383 0.911463i \(-0.634954\pi\)
0.0994631 + 0.995041i \(0.468287\pi\)
\(744\) −1.16914 5.04549i −0.0428627 0.184977i
\(745\) −56.5732 + 32.6626i −2.07268 + 1.19666i
\(746\) 3.09013 + 3.09013i 0.113138 + 0.113138i
\(747\) 41.5734 + 14.2397i 1.52109 + 0.521005i
\(748\) 0.750411 2.80057i 0.0274377 0.102399i
\(749\) 8.47350 8.47350i 0.309615 0.309615i
\(750\) 15.8102 51.8627i 0.577307 1.89376i
\(751\) 1.83745 + 1.06085i 0.0670495 + 0.0387111i 0.533150 0.846021i \(-0.321008\pi\)
−0.466100 + 0.884732i \(0.654341\pi\)
\(752\) 1.33899 + 4.99716i 0.0488278 + 0.182228i
\(753\) 14.4261 + 15.4451i 0.525716 + 0.562849i
\(754\) 3.91382 6.01140i 0.142533 0.218922i
\(755\) 43.8614i 1.59628i
\(756\) 4.21117 + 3.04402i 0.153159 + 0.110710i
\(757\) 12.5472 21.7324i 0.456035 0.789876i −0.542712 0.839919i \(-0.682602\pi\)
0.998747 + 0.0500426i \(0.0159357\pi\)
\(758\) −2.58169 4.47161i −0.0937711 0.162416i
\(759\) −2.74278 0.0935608i −0.0995566 0.00339604i
\(760\) −32.0828 8.59655i −1.16376 0.311830i
\(761\) −42.5197 11.3931i −1.54134 0.413000i −0.614640 0.788808i \(-0.710699\pi\)
−0.926698 + 0.375808i \(0.877365\pi\)
\(762\) −17.1127 0.583741i −0.619926 0.0211467i
\(763\) 5.58105 + 9.66667i 0.202048 + 0.349957i
\(764\) −7.92432 + 13.7253i −0.286692 + 0.496565i
\(765\) −9.94578 50.7287i −0.359590 1.83410i
\(766\) 4.76543i 0.172182i
\(767\) −11.1240 + 17.0858i −0.401664 + 0.616934i
\(768\) 1.18228 + 1.26579i 0.0426618 + 0.0456751i
\(769\) −0.210414 0.785274i −0.00758771 0.0283177i 0.962028 0.272950i \(-0.0879994\pi\)
−0.969616 + 0.244632i \(0.921333\pi\)
\(770\) −2.54800 1.47109i −0.0918236 0.0530144i
\(771\) 6.04301 19.8231i 0.217634 0.713911i
\(772\) −2.40899 + 2.40899i −0.0867013 + 0.0867013i
\(773\) −8.63524 + 32.2271i −0.310588 + 1.15913i 0.617440 + 0.786618i \(0.288170\pi\)
−0.928028 + 0.372511i \(0.878497\pi\)