Properties

Label 546.2.u.a.425.11
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 425.11
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(0.323515 - 1.70157i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.99252 - 3.45115i) q^{5} +(0.570612 + 1.63536i) q^{6} +(-2.44529 + 1.01022i) q^{7} +1.00000i q^{8} +(-2.79068 - 1.10097i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(0.323515 - 1.70157i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.99252 - 3.45115i) q^{5} +(0.570612 + 1.63536i) q^{6} +(-2.44529 + 1.01022i) q^{7} +1.00000i q^{8} +(-2.79068 - 1.10097i) q^{9} +3.98504i q^{10} -3.67738i q^{11} +(-1.31184 - 1.13096i) q^{12} +(3.60330 - 0.127442i) q^{13} +(1.61258 - 2.09752i) q^{14} +(-5.22776 - 4.50691i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.17224 - 2.03038i) q^{17} +(2.96728 - 0.441872i) q^{18} +4.20594i q^{19} +(-1.99252 - 3.45115i) q^{20} +(0.927864 + 4.48766i) q^{21} +(1.83869 + 3.18471i) q^{22} +(-1.85837 + 1.07293i) q^{23} +(1.70157 + 0.323515i) q^{24} +(-5.44029 - 9.42285i) q^{25} +(-3.05683 + 1.91202i) q^{26} +(-2.77620 + 4.39235i) q^{27} +(-0.347773 + 2.62280i) q^{28} +(3.39215 + 1.95846i) q^{29} +(6.78083 + 1.28922i) q^{30} +(-7.42132 + 4.28470i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-6.25732 - 1.18969i) q^{33} +2.34449i q^{34} +(-1.38589 + 10.4520i) q^{35} +(-2.34880 + 1.86631i) q^{36} +(-3.44688 - 5.97017i) q^{37} +(-2.10297 - 3.64245i) q^{38} +(0.948870 - 6.17249i) q^{39} +(3.45115 + 1.99252i) q^{40} +(-1.55096 + 2.68634i) q^{41} +(-3.04738 - 3.42249i) q^{42} +(2.70900 + 4.69212i) q^{43} +(-3.18471 - 1.83869i) q^{44} +(-9.36009 + 7.43734i) q^{45} +(1.07293 - 1.85837i) q^{46} +(5.81511 - 10.0721i) q^{47} +(-1.63536 + 0.570612i) q^{48} +(4.95892 - 4.94055i) q^{49} +(9.42285 + 5.44029i) q^{50} +(-3.07560 - 2.65151i) q^{51} +(1.69128 - 3.18427i) q^{52} +(-1.81528 + 1.04805i) q^{53} +(0.208085 - 5.19198i) q^{54} +(-12.6912 - 7.32727i) q^{55} +(-1.01022 - 2.44529i) q^{56} +(7.15670 + 1.36069i) q^{57} -3.91692 q^{58} +(4.85918 - 8.41635i) q^{59} +(-6.51698 + 2.27391i) q^{60} -0.276774i q^{61} +(4.28470 - 7.42132i) q^{62} +(7.93624 - 0.126999i) q^{63} -1.00000 q^{64} +(6.73983 - 12.6895i) q^{65} +(6.01385 - 2.09836i) q^{66} +10.7088 q^{67} +(-1.17224 - 2.03038i) q^{68} +(1.22445 + 3.50925i) q^{69} +(-4.02576 - 9.74460i) q^{70} +(-3.24128 + 1.87136i) q^{71} +(1.10097 - 2.79068i) q^{72} +(-0.474423 + 0.273908i) q^{73} +(5.97017 + 3.44688i) q^{74} +(-17.7937 + 6.20859i) q^{75} +(3.64245 + 2.10297i) q^{76} +(3.71496 + 8.99228i) q^{77} +(2.26450 + 5.81997i) q^{78} +(1.56372 - 2.70844i) q^{79} -3.98504 q^{80} +(6.57574 + 6.14489i) q^{81} -3.10192i q^{82} -13.0428 q^{83} +(4.35036 + 1.44027i) q^{84} +(-4.67144 - 8.09117i) q^{85} +(-4.69212 - 2.70900i) q^{86} +(4.42987 - 5.13839i) q^{87} +3.67738 q^{88} +(0.959464 + 1.66184i) q^{89} +(4.38740 - 11.1210i) q^{90} +(-8.68238 + 3.95175i) q^{91} +2.14586i q^{92} +(4.88980 + 14.0140i) q^{93} +11.6302i q^{94} +(14.5153 + 8.38043i) q^{95} +(1.13096 - 1.31184i) q^{96} +(-2.07811 + 1.19980i) q^{97} +(-1.82428 + 6.75811i) q^{98} +(-4.04868 + 10.2624i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9} + 2 q^{13} + 12 q^{15} - 38 q^{16} - 8 q^{21} - 42 q^{25} + 20 q^{28} + 20 q^{30} + 12 q^{31} - 4 q^{36} - 6 q^{37} + 12 q^{39} + 8 q^{42} - 2 q^{43} - 4 q^{46} + 2 q^{49} + 10 q^{51} - 14 q^{52} + 18 q^{54} + 24 q^{55} + 8 q^{57} + 16 q^{58} - 12 q^{60} + 32 q^{63} - 76 q^{64} - 24 q^{66} + 96 q^{67} - 30 q^{69} - 54 q^{73} - 12 q^{75} + 18 q^{76} - 12 q^{78} - 60 q^{79} + 8 q^{81} + 8 q^{84} + 8 q^{85} - 24 q^{87} + 48 q^{91} + 16 q^{93} - 66 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 0.323515 1.70157i 0.186782 0.982401i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 1.99252 3.45115i 0.891083 1.54340i 0.0525039 0.998621i \(-0.483280\pi\)
0.838579 0.544780i \(-0.183387\pi\)
\(6\) 0.570612 + 1.63536i 0.232951 + 0.667633i
\(7\) −2.44529 + 1.01022i −0.924234 + 0.381826i
\(8\) 1.00000i 0.353553i
\(9\) −2.79068 1.10097i −0.930225 0.366989i
\(10\) 3.98504i 1.26018i
\(11\) 3.67738i 1.10877i −0.832259 0.554386i \(-0.812953\pi\)
0.832259 0.554386i \(-0.187047\pi\)
\(12\) −1.31184 1.13096i −0.378697 0.326479i
\(13\) 3.60330 0.127442i 0.999375 0.0353462i
\(14\) 1.61258 2.09752i 0.430980 0.560586i
\(15\) −5.22776 4.50691i −1.34980 1.16368i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.17224 2.03038i 0.284311 0.492441i −0.688131 0.725586i \(-0.741569\pi\)
0.972442 + 0.233146i \(0.0749019\pi\)
\(18\) 2.96728 0.441872i 0.699395 0.104150i
\(19\) 4.20594i 0.964909i 0.875921 + 0.482454i \(0.160255\pi\)
−0.875921 + 0.482454i \(0.839745\pi\)
\(20\) −1.99252 3.45115i −0.445541 0.771700i
\(21\) 0.927864 + 4.48766i 0.202477 + 0.979287i
\(22\) 1.83869 + 3.18471i 0.392010 + 0.678982i
\(23\) −1.85837 + 1.07293i −0.387496 + 0.223721i −0.681075 0.732214i \(-0.738487\pi\)
0.293578 + 0.955935i \(0.405154\pi\)
\(24\) 1.70157 + 0.323515i 0.347331 + 0.0660373i
\(25\) −5.44029 9.42285i −1.08806 1.88457i
\(26\) −3.05683 + 1.91202i −0.599493 + 0.374977i
\(27\) −2.77620 + 4.39235i −0.534280 + 0.845308i
\(28\) −0.347773 + 2.62280i −0.0657230 + 0.495662i
\(29\) 3.39215 + 1.95846i 0.629906 + 0.363677i 0.780716 0.624886i \(-0.214855\pi\)
−0.150809 + 0.988563i \(0.548188\pi\)
\(30\) 6.78083 + 1.28922i 1.23800 + 0.235379i
\(31\) −7.42132 + 4.28470i −1.33291 + 0.769555i −0.985744 0.168250i \(-0.946188\pi\)
−0.347163 + 0.937805i \(0.612855\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) −6.25732 1.18969i −1.08926 0.207099i
\(34\) 2.34449i 0.402076i
\(35\) −1.38589 + 10.4520i −0.234258 + 1.76670i
\(36\) −2.34880 + 1.86631i −0.391467 + 0.311052i
\(37\) −3.44688 5.97017i −0.566664 0.981490i −0.996893 0.0787705i \(-0.974901\pi\)
0.430229 0.902720i \(-0.358433\pi\)
\(38\) −2.10297 3.64245i −0.341147 0.590884i
\(39\) 0.948870 6.17249i 0.151941 0.988390i
\(40\) 3.45115 + 1.99252i 0.545675 + 0.315045i
\(41\) −1.55096 + 2.68634i −0.242219 + 0.419536i −0.961346 0.275343i \(-0.911209\pi\)
0.719127 + 0.694879i \(0.244542\pi\)
\(42\) −3.04738 3.42249i −0.470221 0.528102i
\(43\) 2.70900 + 4.69212i 0.413118 + 0.715541i 0.995229 0.0975681i \(-0.0311064\pi\)
−0.582111 + 0.813109i \(0.697773\pi\)
\(44\) −3.18471 1.83869i −0.480113 0.277193i
\(45\) −9.36009 + 7.43734i −1.39532 + 1.10869i
\(46\) 1.07293 1.85837i 0.158195 0.274001i
\(47\) 5.81511 10.0721i 0.848220 1.46916i −0.0345746 0.999402i \(-0.511008\pi\)
0.882795 0.469759i \(-0.155659\pi\)
\(48\) −1.63536 + 0.570612i −0.236044 + 0.0823608i
\(49\) 4.95892 4.94055i 0.708418 0.705794i
\(50\) 9.42285 + 5.44029i 1.33259 + 0.769373i
\(51\) −3.07560 2.65151i −0.430670 0.371286i
\(52\) 1.69128 3.18427i 0.234538 0.441579i
\(53\) −1.81528 + 1.04805i −0.249348 + 0.143961i −0.619466 0.785024i \(-0.712651\pi\)
0.370118 + 0.928985i \(0.379317\pi\)
\(54\) 0.208085 5.19198i 0.0283168 0.706540i
\(55\) −12.6912 7.32727i −1.71128 0.988009i
\(56\) −1.01022 2.44529i −0.134996 0.326766i
\(57\) 7.15670 + 1.36069i 0.947928 + 0.180227i
\(58\) −3.91692 −0.514316
\(59\) 4.85918 8.41635i 0.632612 1.09572i −0.354404 0.935092i \(-0.615316\pi\)
0.987016 0.160623i \(-0.0513503\pi\)
\(60\) −6.51698 + 2.27391i −0.841339 + 0.293561i
\(61\) 0.276774i 0.0354373i −0.999843 0.0177187i \(-0.994360\pi\)
0.999843 0.0177187i \(-0.00564032\pi\)
\(62\) 4.28470 7.42132i 0.544157 0.942508i
\(63\) 7.93624 0.126999i 0.999872 0.0160003i
\(64\) −1.00000 −0.125000
\(65\) 6.73983 12.6895i 0.835973 1.57393i
\(66\) 6.01385 2.09836i 0.740253 0.258290i
\(67\) 10.7088 1.30829 0.654145 0.756369i \(-0.273029\pi\)
0.654145 + 0.756369i \(0.273029\pi\)
\(68\) −1.17224 2.03038i −0.142155 0.246220i
\(69\) 1.22445 + 3.50925i 0.147407 + 0.422464i
\(70\) −4.02576 9.74460i −0.481170 1.16470i
\(71\) −3.24128 + 1.87136i −0.384670 + 0.222089i −0.679848 0.733353i \(-0.737954\pi\)
0.295178 + 0.955442i \(0.404621\pi\)
\(72\) 1.10097 2.79068i 0.129750 0.328884i
\(73\) −0.474423 + 0.273908i −0.0555270 + 0.0320586i −0.527507 0.849551i \(-0.676873\pi\)
0.471979 + 0.881610i \(0.343540\pi\)
\(74\) 5.97017 + 3.44688i 0.694018 + 0.400692i
\(75\) −17.7937 + 6.20859i −2.05463 + 0.716906i
\(76\) 3.64245 + 2.10297i 0.417818 + 0.241227i
\(77\) 3.71496 + 8.99228i 0.423359 + 1.02477i
\(78\) 2.26450 + 5.81997i 0.256404 + 0.658982i
\(79\) 1.56372 2.70844i 0.175932 0.304723i −0.764552 0.644563i \(-0.777039\pi\)
0.940483 + 0.339840i \(0.110373\pi\)
\(80\) −3.98504 −0.445541
\(81\) 6.57574 + 6.14489i 0.730638 + 0.682765i
\(82\) 3.10192i 0.342550i
\(83\) −13.0428 −1.43163 −0.715817 0.698287i \(-0.753946\pi\)
−0.715817 + 0.698287i \(0.753946\pi\)
\(84\) 4.35036 + 1.44027i 0.474663 + 0.157147i
\(85\) −4.67144 8.09117i −0.506689 0.877611i
\(86\) −4.69212 2.70900i −0.505964 0.292118i
\(87\) 4.42987 5.13839i 0.474931 0.550893i
\(88\) 3.67738 0.392010
\(89\) 0.959464 + 1.66184i 0.101703 + 0.176155i 0.912386 0.409330i \(-0.134238\pi\)
−0.810683 + 0.585485i \(0.800904\pi\)
\(90\) 4.38740 11.1210i 0.462473 1.17225i
\(91\) −8.68238 + 3.95175i −0.910161 + 0.414256i
\(92\) 2.14586i 0.223721i
\(93\) 4.88980 + 14.0140i 0.507049 + 1.45319i
\(94\) 11.6302i 1.19956i
\(95\) 14.5153 + 8.38043i 1.48924 + 0.859814i
\(96\) 1.13096 1.31184i 0.115428 0.133890i
\(97\) −2.07811 + 1.19980i −0.211000 + 0.121821i −0.601776 0.798665i \(-0.705540\pi\)
0.390776 + 0.920486i \(0.372207\pi\)
\(98\) −1.82428 + 6.75811i −0.184280 + 0.682672i
\(99\) −4.04868 + 10.2624i −0.406908 + 1.03141i
\(100\) −10.8806 −1.08806
\(101\) 7.53515 0.749776 0.374888 0.927070i \(-0.377681\pi\)
0.374888 + 0.927070i \(0.377681\pi\)
\(102\) 3.98931 + 0.758478i 0.395000 + 0.0751005i
\(103\) 7.80371 + 4.50547i 0.768922 + 0.443938i 0.832490 0.554040i \(-0.186915\pi\)
−0.0635677 + 0.997978i \(0.520248\pi\)
\(104\) 0.127442 + 3.60330i 0.0124968 + 0.353332i
\(105\) 17.3364 + 5.73956i 1.69186 + 0.560124i
\(106\) 1.04805 1.81528i 0.101796 0.176315i
\(107\) 11.4769 6.62621i 1.10952 0.640580i 0.170813 0.985304i \(-0.445361\pi\)
0.938704 + 0.344724i \(0.112027\pi\)
\(108\) 2.41578 + 4.60043i 0.232459 + 0.442677i
\(109\) −4.23287 7.33155i −0.405436 0.702235i 0.588936 0.808179i \(-0.299547\pi\)
−0.994372 + 0.105944i \(0.966213\pi\)
\(110\) 14.6545 1.39726
\(111\) −11.2738 + 3.93366i −1.07006 + 0.373367i
\(112\) 2.09752 + 1.61258i 0.198197 + 0.152374i
\(113\) 10.1766 5.87547i 0.957335 0.552717i 0.0619829 0.998077i \(-0.480258\pi\)
0.895352 + 0.445360i \(0.146924\pi\)
\(114\) −6.87822 + 2.39996i −0.644205 + 0.224777i
\(115\) 8.55134i 0.797416i
\(116\) 3.39215 1.95846i 0.314953 0.181838i
\(117\) −10.1959 3.61146i −0.942616 0.333880i
\(118\) 9.71836i 0.894648i
\(119\) −0.815350 + 6.14911i −0.0747430 + 0.563688i
\(120\) 4.50691 5.22776i 0.411423 0.477227i
\(121\) −2.52315 −0.229377
\(122\) 0.138387 + 0.239694i 0.0125290 + 0.0217009i
\(123\) 4.06924 + 3.50814i 0.366911 + 0.316318i
\(124\) 8.56940i 0.769555i
\(125\) −23.4343 −2.09603
\(126\) −6.80948 + 4.07810i −0.606637 + 0.363306i
\(127\) 0.726767 1.25880i 0.0644901 0.111700i −0.831978 0.554809i \(-0.812791\pi\)
0.896468 + 0.443109i \(0.146125\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) 8.86036 3.09157i 0.780112 0.272198i
\(130\) 0.507863 + 14.3593i 0.0445426 + 1.25939i
\(131\) −8.82931 + 15.2928i −0.771421 + 1.33614i 0.165364 + 0.986233i \(0.447120\pi\)
−0.936784 + 0.349907i \(0.886213\pi\)
\(132\) −4.15896 + 4.82416i −0.361991 + 0.419889i
\(133\) −4.24891 10.2848i −0.368427 0.891802i
\(134\) −9.27410 + 5.35441i −0.801161 + 0.462550i
\(135\) 9.62701 + 18.3329i 0.828561 + 1.57785i
\(136\) 2.03038 + 1.17224i 0.174104 + 0.100519i
\(137\) −10.8746 6.27848i −0.929084 0.536407i −0.0425621 0.999094i \(-0.513552\pi\)
−0.886522 + 0.462687i \(0.846885\pi\)
\(138\) −2.81503 2.42687i −0.239631 0.206589i
\(139\) 13.3742 7.72159i 1.13438 0.654937i 0.189350 0.981910i \(-0.439362\pi\)
0.945034 + 0.326973i \(0.106029\pi\)
\(140\) 8.35871 + 6.42619i 0.706440 + 0.543113i
\(141\) −15.2570 13.1533i −1.28487 1.10771i
\(142\) 1.87136 3.24128i 0.157041 0.272002i
\(143\) −0.468655 13.2507i −0.0391909 1.10808i
\(144\) 0.441872 + 2.96728i 0.0368226 + 0.247273i
\(145\) 13.5179 7.80454i 1.12260 0.648132i
\(146\) 0.273908 0.474423i 0.0226688 0.0392635i
\(147\) −6.80241 10.0363i −0.561053 0.827780i
\(148\) −6.89376 −0.566664
\(149\) 4.04297i 0.331213i 0.986192 + 0.165607i \(0.0529582\pi\)
−0.986192 + 0.165607i \(0.947042\pi\)
\(150\) 12.3055 14.2736i 1.00474 1.16544i
\(151\) 4.77604 + 8.27235i 0.388669 + 0.673194i 0.992271 0.124092i \(-0.0396017\pi\)
−0.603602 + 0.797286i \(0.706268\pi\)
\(152\) −4.20594 −0.341147
\(153\) −5.50674 + 4.37554i −0.445193 + 0.353742i
\(154\) −7.71339 5.93007i −0.621563 0.477859i
\(155\) 34.1494i 2.74295i
\(156\) −4.87110 3.90799i −0.390000 0.312890i
\(157\) 17.0665 9.85334i 1.36205 0.786383i 0.372157 0.928170i \(-0.378618\pi\)
0.989897 + 0.141787i \(0.0452849\pi\)
\(158\) 3.12743i 0.248805i
\(159\) 1.19606 + 3.42788i 0.0948539 + 0.271849i
\(160\) 3.45115 1.99252i 0.272837 0.157523i
\(161\) 3.46036 4.50098i 0.272715 0.354727i
\(162\) −8.76720 2.03376i −0.688816 0.159787i
\(163\) −0.359741 −0.0281771 −0.0140886 0.999901i \(-0.504485\pi\)
−0.0140886 + 0.999901i \(0.504485\pi\)
\(164\) 1.55096 + 2.68634i 0.121110 + 0.209768i
\(165\) −16.5737 + 19.2245i −1.29026 + 1.49662i
\(166\) 11.2954 6.52141i 0.876694 0.506159i
\(167\) 1.89219 3.27738i 0.146422 0.253611i −0.783480 0.621417i \(-0.786557\pi\)
0.929903 + 0.367806i \(0.119891\pi\)
\(168\) −4.48766 + 0.927864i −0.346230 + 0.0715863i
\(169\) 12.9675 0.918426i 0.997501 0.0706481i
\(170\) 8.09117 + 4.67144i 0.620565 + 0.358283i
\(171\) 4.63060 11.7374i 0.354111 0.897582i
\(172\) 5.41799 0.413118
\(173\) 21.4864 1.63358 0.816789 0.576937i \(-0.195752\pi\)
0.816789 + 0.576937i \(0.195752\pi\)
\(174\) −1.26718 + 6.66491i −0.0960649 + 0.505265i
\(175\) 22.8222 + 17.5458i 1.72520 + 1.32634i
\(176\) −3.18471 + 1.83869i −0.240056 + 0.138597i
\(177\) −12.7490 10.9911i −0.958272 0.826138i
\(178\) −1.66184 0.959464i −0.124560 0.0719149i
\(179\) 15.3946i 1.15065i −0.817926 0.575324i \(-0.804876\pi\)
0.817926 0.575324i \(-0.195124\pi\)
\(180\) 1.76088 + 11.8247i 0.131248 + 0.881364i
\(181\) 23.9027i 1.77668i 0.459189 + 0.888339i \(0.348140\pi\)
−0.459189 + 0.888339i \(0.651860\pi\)
\(182\) 5.54329 7.76350i 0.410896 0.575469i
\(183\) −0.470951 0.0895408i −0.0348137 0.00661905i
\(184\) −1.07293 1.85837i −0.0790974 0.137001i
\(185\) −27.4719 −2.01978
\(186\) −11.2417 9.69162i −0.824283 0.710624i
\(187\) −7.46650 4.31079i −0.546005 0.315236i
\(188\) −5.81511 10.0721i −0.424110 0.734580i
\(189\) 2.35140 13.5451i 0.171039 0.985264i
\(190\) −16.7609 −1.21596
\(191\) 15.2675i 1.10472i 0.833607 + 0.552359i \(0.186272\pi\)
−0.833607 + 0.552359i \(0.813728\pi\)
\(192\) −0.323515 + 1.70157i −0.0233477 + 0.122800i
\(193\) 16.7108 1.20287 0.601436 0.798921i \(-0.294596\pi\)
0.601436 + 0.798921i \(0.294596\pi\)
\(194\) 1.19980 2.07811i 0.0861405 0.149200i
\(195\) −19.4115 15.5735i −1.39009 1.11524i
\(196\) −1.79918 6.76483i −0.128513 0.483202i
\(197\) 1.81961 + 1.05055i 0.129642 + 0.0748488i 0.563418 0.826172i \(-0.309486\pi\)
−0.433776 + 0.901021i \(0.642819\pi\)
\(198\) −1.62493 10.9118i −0.115479 0.775470i
\(199\) 13.1160 + 7.57254i 0.929770 + 0.536803i 0.886739 0.462271i \(-0.152965\pi\)
0.0430311 + 0.999074i \(0.486299\pi\)
\(200\) 9.42285 5.44029i 0.666296 0.384686i
\(201\) 3.46447 18.2218i 0.244365 1.28527i
\(202\) −6.52563 + 3.76758i −0.459142 + 0.265086i
\(203\) −10.2733 1.36220i −0.721042 0.0956076i
\(204\) −3.83408 + 1.33779i −0.268439 + 0.0936642i
\(205\) 6.18065 + 10.7052i 0.431675 + 0.747683i
\(206\) −9.01095 −0.627822
\(207\) 6.36736 0.948194i 0.442562 0.0659040i
\(208\) −1.91202 3.05683i −0.132575 0.211953i
\(209\) 15.4669 1.06986
\(210\) −17.8835 + 3.69758i −1.23408 + 0.255157i
\(211\) −7.97522 + 13.8135i −0.549037 + 0.950960i 0.449304 + 0.893379i \(0.351672\pi\)
−0.998341 + 0.0575808i \(0.981661\pi\)
\(212\) 2.09610i 0.143961i
\(213\) 2.13564 + 6.12068i 0.146331 + 0.419382i
\(214\) −6.62621 + 11.4769i −0.452958 + 0.784547i
\(215\) 21.5909 1.47249
\(216\) −4.39235 2.77620i −0.298861 0.188896i
\(217\) 13.8188 17.9745i 0.938083 1.22019i
\(218\) 7.33155 + 4.23287i 0.496555 + 0.286686i
\(219\) 0.312591 + 0.895878i 0.0211229 + 0.0605378i
\(220\) −12.6912 + 7.32727i −0.855641 + 0.494004i
\(221\) 3.96519 7.46548i 0.266727 0.502182i
\(222\) 7.79655 9.04354i 0.523270 0.606963i
\(223\) −15.9530 9.21049i −1.06829 0.616780i −0.140580 0.990069i \(-0.544897\pi\)
−0.927715 + 0.373289i \(0.878230\pi\)
\(224\) −2.62280 0.347773i −0.175243 0.0232366i
\(225\) 4.80782 + 32.2857i 0.320521 + 2.15238i
\(226\) −5.87547 + 10.1766i −0.390830 + 0.676938i
\(227\) −4.89426 + 8.47711i −0.324843 + 0.562645i −0.981481 0.191561i \(-0.938645\pi\)
0.656637 + 0.754207i \(0.271978\pi\)
\(228\) 4.75674 5.51754i 0.315023 0.365408i
\(229\) −3.72044 2.14800i −0.245853 0.141944i 0.372011 0.928228i \(-0.378668\pi\)
−0.617864 + 0.786285i \(0.712002\pi\)
\(230\) −4.27567 7.40567i −0.281929 0.488316i
\(231\) 16.5028 3.41211i 1.08581 0.224501i
\(232\) −1.95846 + 3.39215i −0.128579 + 0.222706i
\(233\) −8.68795 5.01599i −0.569167 0.328609i 0.187650 0.982236i \(-0.439913\pi\)
−0.756817 + 0.653627i \(0.773246\pi\)
\(234\) 10.6357 1.97035i 0.695276 0.128806i
\(235\) −23.1735 40.1376i −1.51167 2.61829i
\(236\) −4.85918 8.41635i −0.316306 0.547858i
\(237\) −4.10271 3.53699i −0.266499 0.229752i
\(238\) −2.36844 5.73296i −0.153523 0.371612i
\(239\) 11.8430i 0.766060i 0.923736 + 0.383030i \(0.125119\pi\)
−0.923736 + 0.383030i \(0.874881\pi\)
\(240\) −1.28922 + 6.78083i −0.0832190 + 0.437701i
\(241\) 0.818728 + 0.472693i 0.0527389 + 0.0304488i 0.526138 0.850399i \(-0.323640\pi\)
−0.473399 + 0.880848i \(0.656973\pi\)
\(242\) 2.18511 1.26158i 0.140464 0.0810972i
\(243\) 12.5833 9.20111i 0.807219 0.590252i
\(244\) −0.239694 0.138387i −0.0153448 0.00885934i
\(245\) −7.16983 26.9581i −0.458064 1.72229i
\(246\) −5.27814 1.00352i −0.336522 0.0639821i
\(247\) 0.536015 + 15.1553i 0.0341058 + 0.964306i
\(248\) −4.28470 7.42132i −0.272079 0.471254i
\(249\) −4.21955 + 22.1933i −0.267403 + 1.40644i
\(250\) 20.2947 11.7172i 1.28355 0.741059i
\(251\) 7.94764 + 13.7657i 0.501650 + 0.868884i 0.999998 + 0.00190672i \(0.000606929\pi\)
−0.498348 + 0.866977i \(0.666060\pi\)
\(252\) 3.85813 6.93648i 0.243040 0.436957i
\(253\) 3.94557 + 6.83393i 0.248056 + 0.429645i
\(254\) 1.45353i 0.0912028i
\(255\) −15.2790 + 5.33116i −0.956806 + 0.333850i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −10.0986 17.4913i −0.629933 1.09108i −0.987565 0.157213i \(-0.949749\pi\)
0.357632 0.933862i \(-0.383584\pi\)
\(258\) −6.12752 + 7.10756i −0.381482 + 0.442497i
\(259\) 14.4598 + 11.1167i 0.898489 + 0.690760i
\(260\) −7.61947 12.1816i −0.472540 0.755470i
\(261\) −7.31019 9.20007i −0.452489 0.569470i
\(262\) 17.6586i 1.09095i
\(263\) 29.8887i 1.84302i −0.388357 0.921509i \(-0.626957\pi\)
0.388357 0.921509i \(-0.373043\pi\)
\(264\) 1.18969 6.25732i 0.0732204 0.385112i
\(265\) 8.35306i 0.513125i
\(266\) 8.82204 + 6.78241i 0.540914 + 0.415856i
\(267\) 3.13814 1.09496i 0.192051 0.0670107i
\(268\) 5.35441 9.27410i 0.327072 0.566506i
\(269\) −6.40279 + 11.0900i −0.390385 + 0.676166i −0.992500 0.122243i \(-0.960991\pi\)
0.602115 + 0.798409i \(0.294325\pi\)
\(270\) −17.5037 11.0633i −1.06524 0.673290i
\(271\) −27.3531 + 15.7923i −1.66158 + 0.959313i −0.689618 + 0.724173i \(0.742222\pi\)
−0.971961 + 0.235140i \(0.924445\pi\)
\(272\) −2.34449 −0.142155
\(273\) 3.91529 + 16.0521i 0.236964 + 0.971518i
\(274\) 12.5570 0.758594
\(275\) −34.6514 + 20.0060i −2.08956 + 1.20641i
\(276\) 3.65133 + 0.694218i 0.219784 + 0.0417870i
\(277\) −8.14386 + 14.1056i −0.489317 + 0.847522i −0.999924 0.0122922i \(-0.996087\pi\)
0.510608 + 0.859814i \(0.329420\pi\)
\(278\) −7.72159 + 13.3742i −0.463110 + 0.802130i
\(279\) 25.4278 3.78657i 1.52232 0.226696i
\(280\) −10.4520 1.38589i −0.624624 0.0828229i
\(281\) 13.4422i 0.801897i −0.916101 0.400948i \(-0.868681\pi\)
0.916101 0.400948i \(-0.131319\pi\)
\(282\) 19.7896 + 3.76255i 1.17845 + 0.224057i
\(283\) 12.9575i 0.770242i −0.922866 0.385121i \(-0.874160\pi\)
0.922866 0.385121i \(-0.125840\pi\)
\(284\) 3.74271i 0.222089i
\(285\) 18.9558 21.9876i 1.12285 1.30243i
\(286\) 7.03122 + 11.2411i 0.415765 + 0.664702i
\(287\) 1.07877 8.13571i 0.0636775 0.480236i
\(288\) −1.86631 2.34880i −0.109973 0.138405i
\(289\) 5.75169 + 9.96222i 0.338335 + 0.586013i
\(290\) −7.80454 + 13.5179i −0.458299 + 0.793796i
\(291\) 1.36924 + 3.92420i 0.0802662 + 0.230041i
\(292\) 0.547817i 0.0320586i
\(293\) −12.9609 22.4489i −0.757182 1.31148i −0.944282 0.329136i \(-0.893242\pi\)
0.187101 0.982341i \(-0.440091\pi\)
\(294\) 10.9092 + 5.29048i 0.636238 + 0.308547i
\(295\) −19.3641 33.5395i −1.12742 1.95275i
\(296\) 5.97017 3.44688i 0.347009 0.200346i
\(297\) 16.1523 + 10.2092i 0.937254 + 0.592395i
\(298\) −2.02149 3.50132i −0.117102 0.202826i
\(299\) −6.55951 + 4.10292i −0.379347 + 0.237278i
\(300\) −3.52003 + 18.5140i −0.203229 + 1.06891i
\(301\) −11.3643 8.73693i −0.655030 0.503588i
\(302\) −8.27235 4.77604i −0.476020 0.274830i
\(303\) 2.43774 12.8216i 0.140044 0.736581i
\(304\) 3.64245 2.10297i 0.208909 0.120614i
\(305\) −0.955190 0.551479i −0.0546940 0.0315776i
\(306\) 2.58120 6.54270i 0.147558 0.374021i
\(307\) 20.1696i 1.15114i −0.817753 0.575569i \(-0.804781\pi\)
0.817753 0.575569i \(-0.195219\pi\)
\(308\) 9.64502 + 1.27890i 0.549576 + 0.0728718i
\(309\) 10.1910 11.8210i 0.579746 0.672471i
\(310\) −17.0747 29.5743i −0.969778 1.67971i
\(311\) −12.0287 20.8342i −0.682082 1.18140i −0.974344 0.225063i \(-0.927741\pi\)
0.292262 0.956338i \(-0.405592\pi\)
\(312\) 6.17249 + 0.948870i 0.349448 + 0.0537192i
\(313\) −6.85676 3.95875i −0.387567 0.223762i 0.293539 0.955947i \(-0.405167\pi\)
−0.681105 + 0.732185i \(0.738500\pi\)
\(314\) −9.85334 + 17.0665i −0.556056 + 0.963118i
\(315\) 15.3748 27.6422i 0.866274 1.55746i
\(316\) −1.56372 2.70844i −0.0879659 0.152361i
\(317\) 23.9291 + 13.8155i 1.34399 + 0.775954i 0.987391 0.158302i \(-0.0506021\pi\)
0.356601 + 0.934257i \(0.383935\pi\)
\(318\) −2.74976 2.37060i −0.154199 0.132937i
\(319\) 7.20200 12.4742i 0.403235 0.698423i
\(320\) −1.99252 + 3.45115i −0.111385 + 0.192925i
\(321\) −7.56199 21.6725i −0.422069 1.20964i
\(322\) −0.746272 + 5.62814i −0.0415881 + 0.313644i
\(323\) 8.53968 + 4.93038i 0.475160 + 0.274334i
\(324\) 8.60950 2.62231i 0.478305 0.145684i
\(325\) −20.8038 33.2600i −1.15399 1.84493i
\(326\) 0.311545 0.179871i 0.0172549 0.00996211i
\(327\) −13.8445 + 4.83066i −0.765605 + 0.267136i
\(328\) −2.68634 1.55096i −0.148329 0.0856375i
\(329\) −4.04468 + 30.5037i −0.222990 + 1.68172i
\(330\) 4.74097 24.9357i 0.260982 1.37267i
\(331\) 13.3256 0.732442 0.366221 0.930528i \(-0.380651\pi\)
0.366221 + 0.930528i \(0.380651\pi\)
\(332\) −6.52141 + 11.2954i −0.357909 + 0.619916i
\(333\) 3.04616 + 20.4557i 0.166928 + 1.12097i
\(334\) 3.78439i 0.207072i
\(335\) 21.3375 36.9577i 1.16579 2.01922i
\(336\) 3.42249 3.04738i 0.186712 0.166248i
\(337\) 6.30526 0.343469 0.171735 0.985143i \(-0.445063\pi\)
0.171735 + 0.985143i \(0.445063\pi\)
\(338\) −10.7710 + 7.27914i −0.585864 + 0.395933i
\(339\) −6.70522 19.2170i −0.364178 1.04372i
\(340\) −9.34288 −0.506689
\(341\) 15.7565 + 27.2910i 0.853261 + 1.47789i
\(342\) 1.85849 + 12.4802i 0.100495 + 0.674852i
\(343\) −7.13499 + 17.0907i −0.385253 + 0.922811i
\(344\) −4.69212 + 2.70900i −0.252982 + 0.146059i
\(345\) 14.5507 + 2.76649i 0.783383 + 0.148943i
\(346\) −18.6077 + 10.7432i −1.00036 + 0.577557i
\(347\) −12.8413 7.41392i −0.689357 0.398000i 0.114014 0.993479i \(-0.463629\pi\)
−0.803371 + 0.595479i \(0.796962\pi\)
\(348\) −2.23504 6.40557i −0.119811 0.343375i
\(349\) −2.57029 1.48396i −0.137584 0.0794343i 0.429628 0.903006i \(-0.358645\pi\)
−0.567212 + 0.823572i \(0.691978\pi\)
\(350\) −28.5375 3.78397i −1.52539 0.202262i
\(351\) −9.44370 + 16.1807i −0.504068 + 0.863664i
\(352\) 1.83869 3.18471i 0.0980026 0.169745i
\(353\) −8.60692 −0.458100 −0.229050 0.973415i \(-0.573562\pi\)
−0.229050 + 0.973415i \(0.573562\pi\)
\(354\) 16.5365 + 3.14404i 0.878903 + 0.167104i
\(355\) 14.9149i 0.791599i
\(356\) 1.91893 0.101703
\(357\) 10.1994 + 3.37671i 0.539807 + 0.178714i
\(358\) 7.69731 + 13.3321i 0.406815 + 0.704625i
\(359\) −6.89926 3.98329i −0.364129 0.210230i 0.306761 0.951786i \(-0.400755\pi\)
−0.670891 + 0.741556i \(0.734088\pi\)
\(360\) −7.43734 9.36009i −0.391982 0.493320i
\(361\) 1.31007 0.0689512
\(362\) −11.9514 20.7004i −0.628150 1.08799i
\(363\) −0.816278 + 4.29332i −0.0428435 + 0.225341i
\(364\) −0.918875 + 9.49503i −0.0481622 + 0.497675i
\(365\) 2.18307i 0.114267i
\(366\) 0.452626 0.157931i 0.0236591 0.00825518i
\(367\) 22.7843i 1.18933i 0.803974 + 0.594665i \(0.202715\pi\)
−0.803974 + 0.594665i \(0.797285\pi\)
\(368\) 1.85837 + 1.07293i 0.0968741 + 0.0559303i
\(369\) 7.28581 5.78916i 0.379284 0.301371i
\(370\) 23.7914 13.7360i 1.23686 0.714099i
\(371\) 3.38013 4.39662i 0.175488 0.228261i
\(372\) 14.5814 + 2.77233i 0.756011 + 0.143739i
\(373\) 20.9264 1.08353 0.541765 0.840530i \(-0.317756\pi\)
0.541765 + 0.840530i \(0.317756\pi\)
\(374\) 8.62158 0.445811
\(375\) −7.58137 + 39.8752i −0.391500 + 2.05914i
\(376\) 10.0721 + 5.81511i 0.519427 + 0.299891i
\(377\) 12.4725 + 6.62461i 0.642367 + 0.341185i
\(378\) 4.73620 + 12.9061i 0.243604 + 0.663820i
\(379\) 0.0758760 0.131421i 0.00389749 0.00675064i −0.864070 0.503372i \(-0.832093\pi\)
0.867968 + 0.496621i \(0.165426\pi\)
\(380\) 14.5153 8.38043i 0.744620 0.429907i
\(381\) −1.90681 1.64388i −0.0976888 0.0842187i
\(382\) −7.63375 13.2220i −0.390576 0.676498i
\(383\) −11.3500 −0.579960 −0.289980 0.957033i \(-0.593649\pi\)
−0.289980 + 0.957033i \(0.593649\pi\)
\(384\) −0.570612 1.63536i −0.0291189 0.0834541i
\(385\) 38.4358 + 5.09646i 1.95887 + 0.259739i
\(386\) −14.4720 + 8.35541i −0.736605 + 0.425279i
\(387\) −2.39406 16.0767i −0.121697 0.817224i
\(388\) 2.39960i 0.121821i
\(389\) −18.4814 + 10.6702i −0.937043 + 0.541002i −0.889032 0.457845i \(-0.848622\pi\)
−0.0480112 + 0.998847i \(0.515288\pi\)
\(390\) 24.5976 + 3.78129i 1.24555 + 0.191473i
\(391\) 5.03093i 0.254425i
\(392\) 4.94055 + 4.95892i 0.249536 + 0.250463i
\(393\) 23.1654 + 19.9712i 1.16854 + 1.00741i
\(394\) −2.10111 −0.105852
\(395\) −6.23148 10.7932i −0.313540 0.543067i
\(396\) 6.86315 + 8.63745i 0.344886 + 0.434048i
\(397\) 16.3409i 0.820125i 0.912057 + 0.410063i \(0.134493\pi\)
−0.912057 + 0.410063i \(0.865507\pi\)
\(398\) −15.1451 −0.759154
\(399\) −18.8748 + 3.90254i −0.944923 + 0.195371i
\(400\) −5.44029 + 9.42285i −0.272014 + 0.471143i
\(401\) 24.2320 13.9903i 1.21009 0.698644i 0.247308 0.968937i \(-0.420454\pi\)
0.962778 + 0.270293i \(0.0871207\pi\)
\(402\) 6.11058 + 17.5128i 0.304768 + 0.873457i
\(403\) −26.1952 + 16.3848i −1.30487 + 0.816187i
\(404\) 3.76758 6.52563i 0.187444 0.324662i
\(405\) 34.3092 10.4500i 1.70484 0.519267i
\(406\) 9.57801 3.95694i 0.475349 0.196379i
\(407\) −21.9546 + 12.6755i −1.08825 + 0.628301i
\(408\) 2.65151 3.07560i 0.131269 0.152265i
\(409\) −25.9794 14.9992i −1.28460 0.741664i −0.306915 0.951737i \(-0.599297\pi\)
−0.977686 + 0.210073i \(0.932630\pi\)
\(410\) −10.7052 6.18065i −0.528692 0.305240i
\(411\) −14.2014 + 16.4728i −0.700503 + 0.812542i
\(412\) 7.80371 4.50547i 0.384461 0.221969i
\(413\) −3.37979 + 25.4893i −0.166308 + 1.25425i
\(414\) −5.04020 + 4.00484i −0.247712 + 0.196827i
\(415\) −25.9881 + 45.0127i −1.27571 + 2.20959i
\(416\) 3.18427 + 1.69128i 0.156122 + 0.0829219i
\(417\) −8.81206 25.2552i −0.431529 1.23675i
\(418\) −13.3947 + 7.73343i −0.655156 + 0.378254i
\(419\) −12.1211 + 20.9944i −0.592155 + 1.02564i 0.401787 + 0.915733i \(0.368389\pi\)
−0.993942 + 0.109909i \(0.964944\pi\)
\(420\) 13.6388 12.1440i 0.665505 0.592564i
\(421\) 6.28451 0.306288 0.153144 0.988204i \(-0.451060\pi\)
0.153144 + 0.988204i \(0.451060\pi\)
\(422\) 15.9504i 0.776455i
\(423\) −27.3171 + 21.7056i −1.32820 + 1.05536i
\(424\) −1.04805 1.81528i −0.0508979 0.0881577i
\(425\) −25.5094 −1.23739
\(426\) −4.90986 4.23285i −0.237883 0.205082i
\(427\) 0.279602 + 0.676795i 0.0135309 + 0.0327524i
\(428\) 13.2524i 0.640580i
\(429\) −22.6986 3.48936i −1.09590 0.168468i
\(430\) −18.6983 + 10.7955i −0.901712 + 0.520604i
\(431\) 14.5358i 0.700163i 0.936719 + 0.350081i \(0.113846\pi\)
−0.936719 + 0.350081i \(0.886154\pi\)
\(432\) 5.19198 + 0.208085i 0.249799 + 0.0100115i
\(433\) −14.4330 + 8.33288i −0.693604 + 0.400453i −0.804961 0.593328i \(-0.797814\pi\)
0.111357 + 0.993781i \(0.464480\pi\)
\(434\) −2.98021 + 22.4758i −0.143054 + 1.07887i
\(435\) −8.90673 25.5265i −0.427045 1.22390i
\(436\) −8.46574 −0.405436
\(437\) −4.51267 7.81618i −0.215870 0.373899i
\(438\) −0.718650 0.619557i −0.0343384 0.0296036i
\(439\) −2.16013 + 1.24715i −0.103098 + 0.0595234i −0.550662 0.834728i \(-0.685625\pi\)
0.447565 + 0.894252i \(0.352291\pi\)
\(440\) 7.32727 12.6912i 0.349314 0.605029i
\(441\) −19.2781 + 8.32787i −0.918007 + 0.396565i
\(442\) 0.298787 + 8.44788i 0.0142118 + 0.401825i
\(443\) −0.249840 0.144245i −0.0118703 0.00685329i 0.494053 0.869432i \(-0.335515\pi\)
−0.505923 + 0.862578i \(0.668848\pi\)
\(444\) −2.23024 + 11.7302i −0.105842 + 0.556691i
\(445\) 7.64701 0.362503
\(446\) 18.4210 0.872259
\(447\) 6.87940 + 1.30796i 0.325385 + 0.0618646i
\(448\) 2.44529 1.01022i 0.115529 0.0477283i
\(449\) −3.87035 + 2.23455i −0.182653 + 0.105455i −0.588539 0.808469i \(-0.700296\pi\)
0.405886 + 0.913924i \(0.366963\pi\)
\(450\) −20.3065 25.5563i −0.957260 1.20474i
\(451\) 9.87872 + 5.70348i 0.465171 + 0.268566i
\(452\) 11.7509i 0.552717i
\(453\) 15.6211 5.45054i 0.733943 0.256089i
\(454\) 9.78852i 0.459398i
\(455\) −3.66176 + 37.8381i −0.171666 + 1.77388i
\(456\) −1.36069 + 7.15670i −0.0637200 + 0.335143i
\(457\) 16.1415 + 27.9580i 0.755069 + 1.30782i 0.945340 + 0.326086i \(0.105730\pi\)
−0.190271 + 0.981732i \(0.560937\pi\)
\(458\) 4.29599 0.200738
\(459\) 5.66378 + 10.7857i 0.264362 + 0.503431i
\(460\) 7.40567 + 4.27567i 0.345291 + 0.199354i
\(461\) 19.3508 + 33.5166i 0.901257 + 1.56102i 0.825864 + 0.563869i \(0.190688\pi\)
0.0753926 + 0.997154i \(0.475979\pi\)
\(462\) −12.5858 + 11.2064i −0.585545 + 0.521369i
\(463\) 3.56780 0.165810 0.0829048 0.996557i \(-0.473580\pi\)
0.0829048 + 0.996557i \(0.473580\pi\)
\(464\) 3.91692i 0.181838i
\(465\) 58.1076 + 11.0479i 2.69468 + 0.512332i
\(466\) 10.0320 0.464723
\(467\) 18.2961 31.6897i 0.846641 1.46643i −0.0375470 0.999295i \(-0.511954\pi\)
0.884188 0.467131i \(-0.154712\pi\)
\(468\) −8.22559 + 7.02422i −0.380228 + 0.324695i
\(469\) −26.1862 + 10.8182i −1.20917 + 0.499539i
\(470\) 40.1376 + 23.1735i 1.85141 + 1.06891i
\(471\) −11.2449 32.2275i −0.518136 1.48497i
\(472\) 8.41635 + 4.85918i 0.387394 + 0.223662i
\(473\) 17.2547 9.96202i 0.793373 0.458054i
\(474\) 5.32154 + 1.01177i 0.244427 + 0.0464723i
\(475\) 39.6320 22.8815i 1.81844 1.04988i
\(476\) 4.91761 + 3.78067i 0.225398 + 0.173287i
\(477\) 6.21973 0.926209i 0.284782 0.0424082i
\(478\) −5.92150 10.2563i −0.270843 0.469114i
\(479\) −2.07833 −0.0949612 −0.0474806 0.998872i \(-0.515119\pi\)
−0.0474806 + 0.998872i \(0.515119\pi\)
\(480\) −2.27391 6.51698i −0.103789 0.297458i
\(481\) −13.1810 21.0730i −0.601001 0.960847i
\(482\) −0.945386 −0.0430611
\(483\) −6.53925 7.34418i −0.297546 0.334172i
\(484\) −1.26158 + 2.18511i −0.0573444 + 0.0993233i
\(485\) 9.56249i 0.434210i
\(486\) −6.29691 + 14.2600i −0.285633 + 0.646849i
\(487\) −10.8701 + 18.8275i −0.492569 + 0.853155i −0.999963 0.00855898i \(-0.997276\pi\)
0.507394 + 0.861714i \(0.330609\pi\)
\(488\) 0.276774 0.0125290
\(489\) −0.116382 + 0.612125i −0.00526297 + 0.0276812i
\(490\) 19.6883 + 19.7615i 0.889428 + 0.892735i
\(491\) 1.43244 + 0.827022i 0.0646453 + 0.0373230i 0.531974 0.846761i \(-0.321450\pi\)
−0.467329 + 0.884083i \(0.654784\pi\)
\(492\) 5.07276 1.76999i 0.228698 0.0797975i
\(493\) 7.95285 4.59158i 0.358178 0.206794i
\(494\) −8.04183 12.8568i −0.361819 0.578456i
\(495\) 27.3499 + 34.4206i 1.22929 + 1.54709i
\(496\) 7.42132 + 4.28470i 0.333227 + 0.192389i
\(497\) 6.03541 7.85042i 0.270725 0.352139i
\(498\) −7.44239 21.3297i −0.333501 0.955807i
\(499\) 20.1576 34.9140i 0.902378 1.56296i 0.0779790 0.996955i \(-0.475153\pi\)
0.824399 0.566009i \(-0.191513\pi\)
\(500\) −11.7172 + 20.2947i −0.524008 + 0.907608i
\(501\) −4.96453 4.27998i −0.221799 0.191215i
\(502\) −13.7657 7.94764i −0.614394 0.354720i
\(503\) 6.12895 + 10.6156i 0.273276 + 0.473328i 0.969699 0.244304i \(-0.0785594\pi\)
−0.696423 + 0.717632i \(0.745226\pi\)
\(504\) 0.126999 + 7.93624i 0.00565697 + 0.353508i
\(505\) 15.0140 26.0049i 0.668112 1.15720i
\(506\) −6.83393 3.94557i −0.303805 0.175402i
\(507\) 2.63243 22.3623i 0.116910 0.993142i
\(508\) −0.726767 1.25880i −0.0322451 0.0558501i
\(509\) 10.2279 + 17.7153i 0.453344 + 0.785216i 0.998591 0.0530599i \(-0.0168974\pi\)
−0.545247 + 0.838276i \(0.683564\pi\)
\(510\) 10.5664 12.2564i 0.467888 0.542723i
\(511\) 0.883397 1.14906i 0.0390792 0.0508313i
\(512\) 1.00000i 0.0441942i
\(513\) −18.4739 11.6765i −0.815645 0.515531i
\(514\) 17.4913 + 10.0986i 0.771507 + 0.445430i
\(515\) 31.0981 17.9545i 1.37035 0.791170i
\(516\) 1.75280 9.21909i 0.0771629 0.405848i
\(517\) −37.0388 21.3844i −1.62897 0.940484i
\(518\) −18.0809 2.39747i −0.794430 0.105339i
\(519\) 6.95117 36.5605i 0.305122 1.60483i
\(520\) 12.6895 + 6.73983i 0.556469 + 0.295561i
\(521\) 1.32358 + 2.29252i 0.0579873 + 0.100437i 0.893562 0.448940i \(-0.148198\pi\)
−0.835575 + 0.549377i \(0.814865\pi\)
\(522\) 10.9308 + 4.31240i 0.478430 + 0.188749i
\(523\) −6.15589 + 3.55411i −0.269178 + 0.155410i −0.628514 0.777798i \(-0.716337\pi\)
0.359336 + 0.933208i \(0.383003\pi\)
\(524\) 8.82931 + 15.2928i 0.385710 + 0.668070i
\(525\) 37.2387 33.1573i 1.62523 1.44710i
\(526\) 14.9444 + 25.8844i 0.651605 + 1.12861i
\(527\) 20.0908i 0.875171i
\(528\) 2.09836 + 6.01385i 0.0913194 + 0.261719i
\(529\) −9.19765 + 15.9308i −0.399898 + 0.692643i
\(530\) −4.17653 7.23397i −0.181417 0.314223i
\(531\) −22.8265 + 18.1375i −0.990587 + 0.787100i
\(532\) −11.0313 1.46271i −0.478268 0.0634167i
\(533\) −5.24622 + 9.87736i −0.227239 + 0.427836i
\(534\) −2.17023 + 2.51734i −0.0939149 + 0.108936i
\(535\) 52.8115i 2.28324i
\(536\) 10.7088i 0.462550i
\(537\) −26.1950 4.98039i −1.13040 0.214920i
\(538\) 12.8056i 0.552087i
\(539\) −18.1683 18.2359i −0.782565 0.785474i
\(540\) 20.6903 + 0.829229i 0.890368 + 0.0356844i
\(541\) −11.5793 + 20.0559i −0.497831 + 0.862269i −0.999997 0.00250239i \(-0.999203\pi\)
0.502166 + 0.864771i \(0.332537\pi\)
\(542\) 15.7923 27.3531i 0.678337 1.17491i
\(543\) 40.6722 + 7.73291i 1.74541 + 0.331851i
\(544\) 2.03038 1.17224i 0.0870520 0.0502595i
\(545\) −33.7364 −1.44511
\(546\) −11.4168 11.9439i −0.488594 0.511152i
\(547\) 22.8911 0.978751 0.489375 0.872073i \(-0.337225\pi\)
0.489375 + 0.872073i \(0.337225\pi\)
\(548\) −10.8746 + 6.27848i −0.464542 + 0.268203i
\(549\) −0.304720 + 0.772388i −0.0130051 + 0.0329647i
\(550\) 20.0060 34.6514i 0.853060 1.47754i
\(551\) −8.23716 + 14.2672i −0.350915 + 0.607802i
\(552\) −3.50925 + 1.22445i −0.149364 + 0.0521161i
\(553\) −1.08764 + 8.20262i −0.0462511 + 0.348811i
\(554\) 16.2877i 0.691999i
\(555\) −8.88760 + 46.7454i −0.377257 + 1.98423i
\(556\) 15.4432i 0.654937i
\(557\) 4.78799i 0.202874i −0.994842 0.101437i \(-0.967656\pi\)
0.994842 0.101437i \(-0.0323440\pi\)
\(558\) −20.1278 + 15.9932i −0.852079 + 0.677045i
\(559\) 10.3593 + 16.5619i 0.438151 + 0.700492i
\(560\) 9.74460 4.02576i 0.411785 0.170119i
\(561\) −9.75063 + 11.3102i −0.411672 + 0.477516i
\(562\) 6.72112 + 11.6413i 0.283513 + 0.491060i
\(563\) −2.97517 + 5.15315i −0.125388 + 0.217179i −0.921885 0.387464i \(-0.873351\pi\)
0.796496 + 0.604643i \(0.206684\pi\)
\(564\) −19.0196 + 6.63634i −0.800869 + 0.279440i
\(565\) 46.8280i 1.97007i
\(566\) 6.47874 + 11.2215i 0.272322 + 0.471675i
\(567\) −22.2873 8.38313i −0.935978 0.352058i
\(568\) −1.87136 3.24128i −0.0785204 0.136001i
\(569\) 5.25796 3.03569i 0.220425 0.127263i −0.385722 0.922615i \(-0.626048\pi\)
0.606147 + 0.795353i \(0.292714\pi\)
\(570\) −5.42239 + 28.5198i −0.227119 + 1.19456i
\(571\) −14.4318 24.9966i −0.603951 1.04607i −0.992216 0.124527i \(-0.960259\pi\)
0.388265 0.921548i \(-0.373075\pi\)
\(572\) −11.7098 6.21949i −0.489610 0.260050i
\(573\) 25.9787 + 4.93927i 1.08528 + 0.206341i
\(574\) 3.13362 + 7.58511i 0.130795 + 0.316596i
\(575\) 20.2201 + 11.6741i 0.843237 + 0.486843i
\(576\) 2.79068 + 1.10097i 0.116278 + 0.0458737i
\(577\) 19.0046 10.9723i 0.791170 0.456782i −0.0492043 0.998789i \(-0.515669\pi\)
0.840374 + 0.542007i \(0.182335\pi\)
\(578\) −9.96222 5.75169i −0.414374 0.239239i
\(579\) 5.40621 28.4346i 0.224674 1.18170i
\(580\) 15.6091i 0.648132i
\(581\) 31.8935 13.1761i 1.32317 0.546636i
\(582\) −3.14790 2.71384i −0.130484 0.112492i
\(583\) 3.85409 + 6.67548i 0.159620 + 0.276470i
\(584\) −0.273908 0.474423i −0.0113344 0.0196318i
\(585\) −32.7793 + 27.9918i −1.35526 + 1.15732i
\(586\) 22.4489 + 12.9609i 0.927354 + 0.535408i
\(587\) 14.7245 25.5036i 0.607746 1.05265i −0.383865 0.923389i \(-0.625407\pi\)
0.991611 0.129258i \(-0.0412595\pi\)
\(588\) −12.0929 + 0.872910i −0.498702 + 0.0359982i
\(589\) −18.0212 31.2136i −0.742550 1.28613i
\(590\) 33.5395 + 19.3641i 1.38080 + 0.797205i
\(591\) 2.37626 2.75633i 0.0977464 0.113380i
\(592\) −3.44688 + 5.97017i −0.141666 + 0.245373i
\(593\) −14.9324 + 25.8636i −0.613199 + 1.06209i 0.377499 + 0.926010i \(0.376784\pi\)
−0.990698 + 0.136082i \(0.956549\pi\)
\(594\) −19.0929 0.765210i −0.783392 0.0313969i
\(595\) 19.5969 + 15.0661i 0.803394 + 0.617651i
\(596\) 3.50132 + 2.02149i 0.143420 + 0.0828033i
\(597\) 17.1284 19.8680i 0.701020 0.813142i
\(598\) 3.62925 6.83299i 0.148411 0.279422i
\(599\) −10.6949 + 6.17470i −0.436981 + 0.252291i −0.702316 0.711865i \(-0.747851\pi\)
0.265335 + 0.964156i \(0.414517\pi\)
\(600\) −6.20859 17.7937i −0.253464 0.726423i
\(601\) −37.8812 21.8707i −1.54521 0.892126i −0.998497 0.0548042i \(-0.982547\pi\)
−0.546710 0.837322i \(-0.684120\pi\)
\(602\) 14.2103 + 1.88423i 0.579168 + 0.0767956i
\(603\) −29.8848 11.7901i −1.21700 0.480128i
\(604\) 9.55209 0.388669
\(605\) −5.02744 + 8.70777i −0.204394 + 0.354021i
\(606\) 4.29965 + 12.3227i 0.174661 + 0.500575i
\(607\) 31.2784i 1.26955i 0.772696 + 0.634776i \(0.218908\pi\)
−0.772696 + 0.634776i \(0.781092\pi\)
\(608\) −2.10297 + 3.64245i −0.0852867 + 0.147721i
\(609\) −5.64144 + 17.0400i −0.228603 + 0.690495i
\(610\) 1.10296 0.0446575
\(611\) 19.6700 37.0337i 0.795761 1.49822i
\(612\) 1.03596 + 6.95675i 0.0418763 + 0.281210i
\(613\) 1.46575 0.0592013 0.0296006 0.999562i \(-0.490576\pi\)
0.0296006 + 0.999562i \(0.490576\pi\)
\(614\) 10.0848 + 17.4673i 0.406988 + 0.704925i
\(615\) 20.2152 7.05351i 0.815154 0.284425i
\(616\) −8.99228 + 3.71496i −0.362309 + 0.149680i
\(617\) 8.81211 5.08767i 0.354762 0.204822i −0.312019 0.950076i \(-0.601005\pi\)
0.666781 + 0.745254i \(0.267672\pi\)
\(618\) −2.91518 + 15.3328i −0.117266 + 0.616774i
\(619\) −21.4340 + 12.3749i −0.861507 + 0.497391i −0.864517 0.502604i \(-0.832375\pi\)
0.00300980 + 0.999995i \(0.499042\pi\)
\(620\) 29.5743 + 17.0747i 1.18773 + 0.685737i
\(621\) 0.446522 11.1413i 0.0179183 0.447083i
\(622\) 20.8342 + 12.0287i 0.835377 + 0.482305i
\(623\) −4.02499 3.09442i −0.161258 0.123975i
\(624\) −5.81997 + 2.26450i −0.232985 + 0.0906525i
\(625\) −19.4920 + 33.7612i −0.779680 + 1.35045i
\(626\) 7.91750 0.316447
\(627\) 5.00377 26.3179i 0.199831 1.05104i
\(628\) 19.7067i 0.786383i
\(629\) −16.1623 −0.644434
\(630\) 0.506095 + 31.6263i 0.0201633 + 1.26002i
\(631\) −1.30186 2.25489i −0.0518264 0.0897659i 0.838948 0.544211i \(-0.183171\pi\)
−0.890775 + 0.454445i \(0.849838\pi\)
\(632\) 2.70844 + 1.56372i 0.107736 + 0.0622013i
\(633\) 20.9245 + 18.0393i 0.831674 + 0.716996i
\(634\) −27.6309 −1.09736
\(635\) −2.89620 5.01636i −0.114932 0.199068i
\(636\) 3.56667 + 0.678122i 0.141427 + 0.0268893i
\(637\) 17.2388 18.4343i 0.683028 0.730392i
\(638\) 14.4040i 0.570260i
\(639\) 11.1057 1.65380i 0.439334 0.0654233i
\(640\) 3.98504i 0.157523i
\(641\) 6.22771 + 3.59557i 0.245980 + 0.142017i 0.617922 0.786239i \(-0.287975\pi\)
−0.371942 + 0.928256i \(0.621308\pi\)
\(642\) 17.3851 + 14.9879i 0.686136 + 0.591526i
\(643\) 5.48347 3.16588i 0.216247 0.124850i −0.387964 0.921674i \(-0.626822\pi\)
0.604211 + 0.796824i \(0.293488\pi\)
\(644\) −2.16778 5.24725i −0.0854226 0.206771i
\(645\) 6.98500 36.7385i 0.275034 1.44658i
\(646\) −9.86077 −0.387967
\(647\) 8.50212 0.334253 0.167126 0.985935i \(-0.446551\pi\)
0.167126 + 0.985935i \(0.446551\pi\)
\(648\) −6.14489 + 6.57574i −0.241394 + 0.258319i
\(649\) −30.9501 17.8691i −1.21490 0.701423i
\(650\) 34.6467 + 18.4021i 1.35895 + 0.721790i
\(651\) −26.1142 29.3287i −1.02350 1.14948i
\(652\) −0.179871 + 0.311545i −0.00704428 + 0.0122010i
\(653\) −23.8853 + 13.7902i −0.934704 + 0.539651i −0.888296 0.459271i \(-0.848111\pi\)
−0.0464076 + 0.998923i \(0.514777\pi\)
\(654\) 9.57439 11.1057i 0.374388 0.434269i
\(655\) 35.1852 + 60.9426i 1.37480 + 2.38122i
\(656\) 3.10192 0.121110
\(657\) 1.62553 0.242065i 0.0634178 0.00944385i
\(658\) −11.7490 28.4393i −0.458025 1.10868i
\(659\) 21.6640 12.5077i 0.843908 0.487230i −0.0146829 0.999892i \(-0.504674\pi\)
0.858591 + 0.512662i \(0.171341\pi\)
\(660\) 8.36205 + 23.9654i 0.325493 + 0.932853i
\(661\) 15.0253i 0.584418i 0.956354 + 0.292209i \(0.0943903\pi\)
−0.956354 + 0.292209i \(0.905610\pi\)
\(662\) −11.5403 + 6.66281i −0.448527 + 0.258957i
\(663\) −11.4202 9.16223i −0.443525 0.355832i
\(664\) 13.0428i 0.506159i
\(665\) −43.9603 5.82898i −1.70471 0.226038i
\(666\) −12.8659 16.1921i −0.498544 0.627431i
\(667\) −8.40515 −0.325449
\(668\) −1.89219 3.27738i −0.0732112 0.126805i
\(669\) −20.8333 + 24.1655i −0.805464 + 0.934291i
\(670\) 42.6751i 1.64868i
\(671\) −1.01781 −0.0392920
\(672\) −1.44027 + 4.35036i −0.0555598 + 0.167819i
\(673\) −2.09904 + 3.63565i −0.0809121 + 0.140144i −0.903642 0.428289i \(-0.859117\pi\)
0.822730 + 0.568433i \(0.192450\pi\)
\(674\) −5.46051 + 3.15263i −0.210331 + 0.121435i
\(675\) 56.4918 + 2.26409i 2.17437 + 0.0871448i
\(676\) 5.68838 11.6894i 0.218784 0.449593i
\(677\) −18.0619 + 31.2842i −0.694177 + 1.20235i 0.276281 + 0.961077i \(0.410898\pi\)
−0.970457 + 0.241272i \(0.922435\pi\)
\(678\) 15.4154 + 13.2898i 0.592025 + 0.510392i
\(679\) 3.86953 5.03320i 0.148499 0.193157i
\(680\) 8.09117 4.67144i 0.310282 0.179142i
\(681\) 12.8410 + 11.0704i 0.492069 + 0.424219i
\(682\) −27.2910 15.7565i −1.04503 0.603347i
\(683\) 8.79767 + 5.07934i 0.336634 + 0.194355i 0.658782 0.752334i \(-0.271072\pi\)
−0.322149 + 0.946689i \(0.604405\pi\)
\(684\) −7.84960 9.87893i −0.300137 0.377730i
\(685\) −43.3359 + 25.0200i −1.65578 + 0.955966i
\(686\) −2.36627 18.3685i −0.0903444 0.701312i
\(687\) −4.85858 + 5.63567i −0.185366 + 0.215014i
\(688\) 2.70900 4.69212i 0.103279 0.178885i
\(689\) −6.40742 + 4.00779i −0.244103 + 0.152684i
\(690\) −13.9845 + 4.87950i −0.532381 + 0.185759i
\(691\) −6.40627 + 3.69866i −0.243706 + 0.140704i −0.616879 0.787058i \(-0.711603\pi\)
0.373173 + 0.927762i \(0.378270\pi\)
\(692\) 10.7432 18.6077i 0.408394 0.707360i
\(693\) −0.467023 29.1846i −0.0177407 1.10863i
\(694\) 14.8278 0.562857
\(695\) 61.5417i 2.33441i
\(696\) 5.13839 + 4.42987i 0.194770 + 0.167914i
\(697\) 3.63621 + 6.29810i 0.137731 + 0.238557i
\(698\) 2.96791 0.112337
\(699\) −11.3457 + 13.1604i −0.429136 + 0.497772i
\(700\) 26.6062 10.9917i 1.00562 0.415449i
\(701\) 16.0990i 0.608049i 0.952664 + 0.304025i \(0.0983306\pi\)
−0.952664 + 0.304025i \(0.901669\pi\)
\(702\) 0.0881149 18.7348i 0.00332568 0.707099i
\(703\) 25.1102 14.4974i 0.947048 0.546779i
\(704\) 3.67738i 0.138597i
\(705\) −75.7939 + 26.4461i −2.85456 + 0.996018i
\(706\) 7.45381 4.30346i 0.280528 0.161963i
\(707\) −18.4257 + 7.61214i −0.692968 + 0.286284i
\(708\) −15.8930 + 5.54541i −0.597296 + 0.208409i
\(709\) −47.7441 −1.79307 −0.896534 0.442976i \(-0.853923\pi\)
−0.896534 + 0.442976i \(0.853923\pi\)
\(710\) −7.45744 12.9167i −0.279873 0.484753i
\(711\) −7.34573 + 5.83677i −0.275486 + 0.218896i
\(712\) −1.66184 + 0.959464i −0.0622801 + 0.0359574i
\(713\) 9.19435 15.9251i 0.344331 0.596399i
\(714\) −10.5213 + 2.17536i −0.393748 + 0.0814110i
\(715\) −46.6640 24.7849i −1.74513 0.926904i
\(716\) −13.3321 7.69731i −0.498245 0.287662i
\(717\) 20.1517 + 3.83140i 0.752579 + 0.143086i
\(718\) 7.96658 0.297310
\(719\) −10.5889 −0.394899 −0.197449 0.980313i \(-0.563266\pi\)
−0.197449 + 0.980313i \(0.563266\pi\)
\(720\) 11.1210 + 4.38740i 0.414454 + 0.163509i
\(721\) −23.6339 3.13377i −0.880171 0.116708i
\(722\) −1.13456 + 0.655036i −0.0422238 + 0.0243779i
\(723\) 1.06919 1.24020i 0.0397636 0.0461235i
\(724\) 20.7004 + 11.9514i 0.769324 + 0.444169i
\(725\) 42.6183i 1.58280i
\(726\) −1.43974 4.12626i −0.0534338 0.153140i
\(727\) 6.29062i 0.233306i 0.993173 + 0.116653i \(0.0372166\pi\)
−0.993173 + 0.116653i \(0.962783\pi\)
\(728\) −3.95175 8.68238i −0.146462 0.321790i
\(729\) −11.5854 24.3881i −0.429090 0.903262i
\(730\) −1.09154 1.89060i −0.0403996 0.0699742i
\(731\) 12.7024 0.469815
\(732\) −0.313020 + 0.363085i −0.0115696 + 0.0134200i
\(733\) −24.4353 14.1077i −0.902538 0.521080i −0.0245151 0.999699i \(-0.507804\pi\)
−0.878023 + 0.478619i \(0.841138\pi\)
\(734\) −11.3921 19.7318i −0.420492 0.728313i
\(735\) −48.1907 + 3.47859i −1.77754 + 0.128310i
\(736\) −2.14586 −0.0790974
\(737\) 39.3804i 1.45060i
\(738\) −3.41512 + 8.65646i −0.125712 + 0.318649i
\(739\) 25.8468 0.950791 0.475396 0.879772i \(-0.342305\pi\)
0.475396 + 0.879772i \(0.342305\pi\)
\(740\) −13.7360 + 23.7914i −0.504944 + 0.874589i
\(741\) 25.9611 + 3.99089i 0.953706 + 0.146609i
\(742\) −0.728969 + 5.49765i −0.0267613 + 0.201825i
\(743\) 6.50706 + 3.75685i 0.238721 + 0.137826i 0.614589 0.788848i \(-0.289322\pi\)
−0.375868 + 0.926673i \(0.622655\pi\)
\(744\) −14.0140 + 4.88980i −0.513780 + 0.179269i
\(745\) 13.9529 + 8.05572i 0.511195 + 0.295139i
\(746\) −18.1228 + 10.4632i −0.663524 + 0.383086i
\(747\) 36.3983 + 14.3597i 1.33174 + 0.525395i
\(748\) −7.46650 + 4.31079i −0.273002 + 0.157618i
\(749\) −21.3706 + 27.7972i −0.780863 + 1.01569i
\(750\) −13.3719 38.3236i −0.488273 1.39938i
\(751\) 0.712950 + 1.23487i 0.0260159 + 0.0450609i 0.878740 0.477300i \(-0.158385\pi\)
−0.852724 + 0.522361i \(0.825051\pi\)
\(752\) −11.6302 −0.424110
\(753\) 25.9945 9.07003i 0.947292 0.330530i
\(754\) −14.1138 + 0.499181i −0.513995 + 0.0181791i
\(755\) 38.0655 1.38534
\(756\) −10.5547 8.80894i −0.383872 0.320378i
\(757\) −11.4225 + 19.7843i −0.415157 + 0.719074i −0.995445 0.0953379i \(-0.969607\pi\)
0.580288 + 0.814412i \(0.302940\pi\)
\(758\) 0.151752i 0.00551188i
\(759\) 12.9049 4.50278i 0.468417 0.163441i
\(760\) −8.38043 + 14.5153i −0.303990 + 0.526526i
\(761\) −25.9165 −0.939474 −0.469737 0.882806i \(-0.655651\pi\)
−0.469737 + 0.882806i \(0.655651\pi\)
\(762\) 2.47329 + 0.470240i 0.0895977 + 0.0170350i
\(763\) 17.7571 + 13.6517i 0.642849 + 0.494224i
\(764\) 13.2220 + 7.63375i 0.478357 + 0.276179i
\(765\) 4.12836 + 27.7229i 0.149261 + 1.00233i
\(766\) 9.82943 5.67502i 0.355152 0.205047i
\(767\) 16.4365 30.9459i 0.593487 1.11739i
\(768\) 1.31184 + 1.13096i 0.0473371 + 0.0408099i
\(769\) 34.4344 + 19.8807i 1.24174 + 0.716918i 0.969448 0.245298i \(-0.0788857\pi\)
0.272290 + 0.962215i \(0.412219\pi\)
\(770\) −35.8346 + 14.8043i −1.29139 + 0.533509i
\(771\) −33.0296 + 11.5247i −1.18953 + 0.415054i
\(772\) 8.35541 14.4720i 0.300718 0.520859i
\(773\) −16.8043 + 29.1059i −0.604409 + 1.04687i 0.387735 + 0.921771i \(0.373257\pi\)
−0.992145 + 0.125097i \(0.960076\pi\)
\(774\) 10.1117 + 12.7258i 0.363456 + 0.457419i