Properties

Label 546.2.bb.a.269.22
Level $546$
Weight $2$
Character 546.269
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.bb (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 269.22
Character \(\chi\) \(=\) 546.269
Dual form 546.2.bb.a.341.3

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(-1.70567 - 0.301159i) q^{3} -1.00000 q^{4} +(-2.12998 - 3.68924i) q^{5} +(0.301159 - 1.70567i) q^{6} +(2.63074 + 0.281454i) q^{7} -1.00000i q^{8} +(2.81861 + 1.02735i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(-1.70567 - 0.301159i) q^{3} -1.00000 q^{4} +(-2.12998 - 3.68924i) q^{5} +(0.301159 - 1.70567i) q^{6} +(2.63074 + 0.281454i) q^{7} -1.00000i q^{8} +(2.81861 + 1.02735i) q^{9} +(3.68924 - 2.12998i) q^{10} +(-1.28788 + 0.743556i) q^{11} +(1.70567 + 0.301159i) q^{12} +(-2.41401 + 2.67816i) q^{13} +(-0.281454 + 2.63074i) q^{14} +(2.52200 + 6.93408i) q^{15} +1.00000 q^{16} -2.66507 q^{17} +(-1.02735 + 2.81861i) q^{18} +(-3.55819 - 2.05432i) q^{19} +(2.12998 + 3.68924i) q^{20} +(-4.40240 - 1.27234i) q^{21} +(-0.743556 - 1.28788i) q^{22} +0.158431i q^{23} +(-0.301159 + 1.70567i) q^{24} +(-6.57365 + 11.3859i) q^{25} +(-2.67816 - 2.41401i) q^{26} +(-4.49821 - 2.60117i) q^{27} +(-2.63074 - 0.281454i) q^{28} +(0.413684 + 0.238841i) q^{29} +(-6.93408 + 2.52200i) q^{30} +(3.04646 + 1.75887i) q^{31} +1.00000i q^{32} +(2.42062 - 0.880404i) q^{33} -2.66507i q^{34} +(-4.56508 - 10.3049i) q^{35} +(-2.81861 - 1.02735i) q^{36} -10.4771 q^{37} +(2.05432 - 3.55819i) q^{38} +(4.92406 - 3.84105i) q^{39} +(-3.68924 + 2.12998i) q^{40} +(-5.13995 + 8.90266i) q^{41} +(1.27234 - 4.40240i) q^{42} +(4.00148 + 6.93077i) q^{43} +(1.28788 - 0.743556i) q^{44} +(-2.21343 - 12.5868i) q^{45} -0.158431 q^{46} +(-2.27135 - 3.93409i) q^{47} +(-1.70567 - 0.301159i) q^{48} +(6.84157 + 1.48086i) q^{49} +(-11.3859 - 6.57365i) q^{50} +(4.54572 + 0.802608i) q^{51} +(2.41401 - 2.67816i) q^{52} +(3.23858 + 1.86979i) q^{53} +(2.60117 - 4.49821i) q^{54} +(5.48631 + 3.16752i) q^{55} +(0.281454 - 2.63074i) q^{56} +(5.45041 + 4.57557i) q^{57} +(-0.238841 + 0.413684i) q^{58} -4.78769 q^{59} +(-2.52200 - 6.93408i) q^{60} +(2.28652 + 1.32012i) q^{61} +(-1.75887 + 3.04646i) q^{62} +(7.12586 + 3.49601i) q^{63} -1.00000 q^{64} +(15.0222 + 3.20144i) q^{65} +(0.880404 + 2.42062i) q^{66} +(1.63445 + 2.83094i) q^{67} +2.66507 q^{68} +(0.0477129 - 0.270231i) q^{69} +(10.3049 - 4.56508i) q^{70} +(-7.70265 + 4.44713i) q^{71} +(1.02735 - 2.81861i) q^{72} +(-6.03059 - 3.48176i) q^{73} -10.4771i q^{74} +(14.6414 - 17.4408i) q^{75} +(3.55819 + 2.05432i) q^{76} +(-3.59734 + 1.59362i) q^{77} +(3.84105 + 4.92406i) q^{78} +(-8.20543 - 14.2122i) q^{79} +(-2.12998 - 3.68924i) q^{80} +(6.88909 + 5.79141i) q^{81} +(-8.90266 - 5.13995i) q^{82} -8.37013 q^{83} +(4.40240 + 1.27234i) q^{84} +(5.67655 + 9.83207i) q^{85} +(-6.93077 + 4.00148i) q^{86} +(-0.633679 - 0.531968i) q^{87} +(0.743556 + 1.28788i) q^{88} +11.8904 q^{89} +(12.5868 - 2.21343i) q^{90} +(-7.10442 + 6.36610i) q^{91} -0.158431i q^{92} +(-4.66655 - 3.91752i) q^{93} +(3.93409 - 2.27135i) q^{94} +17.5027i q^{95} +(0.301159 - 1.70567i) q^{96} +(-3.13800 + 1.81173i) q^{97} +(-1.48086 + 6.84157i) q^{98} +(-4.39391 + 0.772687i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q - 76q^{4} + 10q^{7} + 4q^{9} + O(q^{10}) \) \( 76q - 76q^{4} + 10q^{7} + 4q^{9} - 2q^{13} + 12q^{15} + 76q^{16} + 18q^{19} - 8q^{21} - 42q^{25} - 10q^{28} - 10q^{30} + 12q^{31} + 72q^{33} - 4q^{36} + 12q^{37} - 42q^{39} + 2q^{42} - 2q^{43} + 8q^{46} - 10q^{49} + 10q^{51} + 2q^{52} - 24q^{55} + 8q^{57} - 8q^{58} - 12q^{60} + 78q^{61} + 2q^{63} - 76q^{64} - 24q^{66} - 48q^{67} + 30q^{69} - 54q^{73} - 18q^{76} - 12q^{78} - 60q^{79} - 4q^{81} - 24q^{82} + 8q^{84} + 8q^{85} - 8q^{91} - 32q^{93} - 24q^{94} + 66q^{97} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −1.70567 0.301159i −0.984768 0.173874i
\(4\) −1.00000 −0.500000
\(5\) −2.12998 3.68924i −0.952557 1.64988i −0.739862 0.672759i \(-0.765109\pi\)
−0.212695 0.977119i \(-0.568224\pi\)
\(6\) 0.301159 1.70567i 0.122948 0.696336i
\(7\) 2.63074 + 0.281454i 0.994326 + 0.106380i
\(8\) 1.00000i 0.353553i
\(9\) 2.81861 + 1.02735i 0.939536 + 0.342451i
\(10\) 3.68924 2.12998i 1.16664 0.673560i
\(11\) −1.28788 + 0.743556i −0.388309 + 0.224191i −0.681427 0.731886i \(-0.738640\pi\)
0.293118 + 0.956076i \(0.405307\pi\)
\(12\) 1.70567 + 0.301159i 0.492384 + 0.0869370i
\(13\) −2.41401 + 2.67816i −0.669527 + 0.742788i
\(14\) −0.281454 + 2.63074i −0.0752217 + 0.703094i
\(15\) 2.52200 + 6.93408i 0.651177 + 1.79037i
\(16\) 1.00000 0.250000
\(17\) −2.66507 −0.646374 −0.323187 0.946335i \(-0.604754\pi\)
−0.323187 + 0.946335i \(0.604754\pi\)
\(18\) −1.02735 + 2.81861i −0.242150 + 0.664352i
\(19\) −3.55819 2.05432i −0.816305 0.471294i 0.0328359 0.999461i \(-0.489546\pi\)
−0.849140 + 0.528167i \(0.822879\pi\)
\(20\) 2.12998 + 3.68924i 0.476279 + 0.824939i
\(21\) −4.40240 1.27234i −0.960683 0.277647i
\(22\) −0.743556 1.28788i −0.158527 0.274576i
\(23\) 0.158431i 0.0330352i 0.999864 + 0.0165176i \(0.00525795\pi\)
−0.999864 + 0.0165176i \(0.994742\pi\)
\(24\) −0.301159 + 1.70567i −0.0614738 + 0.348168i
\(25\) −6.57365 + 11.3859i −1.31473 + 2.27718i
\(26\) −2.67816 2.41401i −0.525230 0.473427i
\(27\) −4.49821 2.60117i −0.865681 0.500596i
\(28\) −2.63074 0.281454i −0.497163 0.0531898i
\(29\) 0.413684 + 0.238841i 0.0768193 + 0.0443516i 0.537918 0.842997i \(-0.319211\pi\)
−0.461098 + 0.887349i \(0.652544\pi\)
\(30\) −6.93408 + 2.52200i −1.26598 + 0.460452i
\(31\) 3.04646 + 1.75887i 0.547160 + 0.315903i 0.747976 0.663726i \(-0.231026\pi\)
−0.200816 + 0.979629i \(0.564359\pi\)
\(32\) 1.00000i 0.176777i
\(33\) 2.42062 0.880404i 0.421376 0.153259i
\(34\) 2.66507i 0.457055i
\(35\) −4.56508 10.3049i −0.771639 1.74185i
\(36\) −2.81861 1.02735i −0.469768 0.171226i
\(37\) −10.4771 −1.72242 −0.861211 0.508248i \(-0.830293\pi\)
−0.861211 + 0.508248i \(0.830293\pi\)
\(38\) 2.05432 3.55819i 0.333255 0.577215i
\(39\) 4.92406 3.84105i 0.788480 0.615060i
\(40\) −3.68924 + 2.12998i −0.583320 + 0.336780i
\(41\) −5.13995 + 8.90266i −0.802726 + 1.39036i 0.115090 + 0.993355i \(0.463284\pi\)
−0.917816 + 0.397007i \(0.870049\pi\)
\(42\) 1.27234 4.40240i 0.196326 0.679306i
\(43\) 4.00148 + 6.93077i 0.610221 + 1.05693i 0.991203 + 0.132351i \(0.0422526\pi\)
−0.380982 + 0.924582i \(0.624414\pi\)
\(44\) 1.28788 0.743556i 0.194155 0.112095i
\(45\) −2.21343 12.5868i −0.329959 1.87632i
\(46\) −0.158431 −0.0233594
\(47\) −2.27135 3.93409i −0.331310 0.573846i 0.651459 0.758684i \(-0.274157\pi\)
−0.982769 + 0.184838i \(0.940824\pi\)
\(48\) −1.70567 0.301159i −0.246192 0.0434685i
\(49\) 6.84157 + 1.48086i 0.977367 + 0.211552i
\(50\) −11.3859 6.57365i −1.61021 0.929654i
\(51\) 4.54572 + 0.802608i 0.636528 + 0.112388i
\(52\) 2.41401 2.67816i 0.334763 0.371394i
\(53\) 3.23858 + 1.86979i 0.444853 + 0.256836i 0.705654 0.708557i \(-0.250653\pi\)
−0.260801 + 0.965393i \(0.583987\pi\)
\(54\) 2.60117 4.49821i 0.353975 0.612129i
\(55\) 5.48631 + 3.16752i 0.739774 + 0.427109i
\(56\) 0.281454 2.63074i 0.0376108 0.351547i
\(57\) 5.45041 + 4.57557i 0.721925 + 0.606049i
\(58\) −0.238841 + 0.413684i −0.0313613 + 0.0543194i
\(59\) −4.78769 −0.623304 −0.311652 0.950196i \(-0.600882\pi\)
−0.311652 + 0.950196i \(0.600882\pi\)
\(60\) −2.52200 6.93408i −0.325588 0.895186i
\(61\) 2.28652 + 1.32012i 0.292759 + 0.169025i 0.639186 0.769053i \(-0.279272\pi\)
−0.346426 + 0.938077i \(0.612605\pi\)
\(62\) −1.75887 + 3.04646i −0.223377 + 0.386900i
\(63\) 7.12586 + 3.49601i 0.897775 + 0.440455i
\(64\) −1.00000 −0.125000
\(65\) 15.0222 + 3.20144i 1.86327 + 0.397089i
\(66\) 0.880404 + 2.42062i 0.108370 + 0.297957i
\(67\) 1.63445 + 2.83094i 0.199679 + 0.345855i 0.948424 0.317003i \(-0.102677\pi\)
−0.748745 + 0.662858i \(0.769343\pi\)
\(68\) 2.66507 0.323187
\(69\) 0.0477129 0.270231i 0.00574396 0.0325320i
\(70\) 10.3049 4.56508i 1.23167 0.545631i
\(71\) −7.70265 + 4.44713i −0.914136 + 0.527777i −0.881760 0.471699i \(-0.843641\pi\)
−0.0323767 + 0.999476i \(0.510308\pi\)
\(72\) 1.02735 2.81861i 0.121075 0.332176i
\(73\) −6.03059 3.48176i −0.705828 0.407510i 0.103687 0.994610i \(-0.466936\pi\)
−0.809514 + 0.587100i \(0.800269\pi\)
\(74\) 10.4771i 1.21794i
\(75\) 14.6414 17.4408i 1.69065 2.01390i
\(76\) 3.55819 + 2.05432i 0.408152 + 0.235647i
\(77\) −3.59734 + 1.59362i −0.409955 + 0.181610i
\(78\) 3.84105 + 4.92406i 0.434913 + 0.557540i
\(79\) −8.20543 14.2122i −0.923183 1.59900i −0.794458 0.607320i \(-0.792245\pi\)
−0.128725 0.991680i \(-0.541089\pi\)
\(80\) −2.12998 3.68924i −0.238139 0.412469i
\(81\) 6.88909 + 5.79141i 0.765454 + 0.643490i
\(82\) −8.90266 5.13995i −0.983134 0.567613i
\(83\) −8.37013 −0.918741 −0.459370 0.888245i \(-0.651925\pi\)
−0.459370 + 0.888245i \(0.651925\pi\)
\(84\) 4.40240 + 1.27234i 0.480342 + 0.138823i
\(85\) 5.67655 + 9.83207i 0.615708 + 1.06644i
\(86\) −6.93077 + 4.00148i −0.747365 + 0.431491i
\(87\) −0.633679 0.531968i −0.0679375 0.0570329i
\(88\) 0.743556 + 1.28788i 0.0792633 + 0.137288i
\(89\) 11.8904 1.26038 0.630190 0.776441i \(-0.282977\pi\)
0.630190 + 0.776441i \(0.282977\pi\)
\(90\) 12.5868 2.21343i 1.32676 0.233316i
\(91\) −7.10442 + 6.36610i −0.744745 + 0.667349i
\(92\) 0.158431i 0.0165176i
\(93\) −4.66655 3.91752i −0.483898 0.406228i
\(94\) 3.93409 2.27135i 0.405770 0.234271i
\(95\) 17.5027i 1.79574i
\(96\) 0.301159 1.70567i 0.0307369 0.174084i
\(97\) −3.13800 + 1.81173i −0.318616 + 0.183953i −0.650775 0.759270i \(-0.725556\pi\)
0.332160 + 0.943223i \(0.392223\pi\)
\(98\) −1.48086 + 6.84157i −0.149590 + 0.691103i
\(99\) −4.39391 + 0.772687i −0.441605 + 0.0776580i
\(100\) 6.57365 11.3859i 0.657365 1.13859i
\(101\) 2.40953 + 4.17343i 0.239757 + 0.415272i 0.960645 0.277781i \(-0.0895988\pi\)
−0.720887 + 0.693052i \(0.756265\pi\)
\(102\) −0.802608 + 4.54572i −0.0794700 + 0.450093i
\(103\) 2.15332 1.24322i 0.212173 0.122498i −0.390148 0.920752i \(-0.627576\pi\)
0.602321 + 0.798254i \(0.294243\pi\)
\(104\) 2.67816 + 2.41401i 0.262615 + 0.236713i
\(105\) 4.68309 + 18.9516i 0.457023 + 1.84948i
\(106\) −1.86979 + 3.23858i −0.181611 + 0.314559i
\(107\) 9.19824i 0.889227i −0.895722 0.444614i \(-0.853341\pi\)
0.895722 0.444614i \(-0.146659\pi\)
\(108\) 4.49821 + 2.60117i 0.432841 + 0.250298i
\(109\) 3.36845 5.83432i 0.322639 0.558827i −0.658393 0.752675i \(-0.728763\pi\)
0.981032 + 0.193848i \(0.0620967\pi\)
\(110\) −3.16752 + 5.48631i −0.302011 + 0.523099i
\(111\) 17.8704 + 3.15526i 1.69619 + 0.299484i
\(112\) 2.63074 + 0.281454i 0.248581 + 0.0265949i
\(113\) −14.7950 + 8.54191i −1.39180 + 0.803556i −0.993514 0.113706i \(-0.963728\pi\)
−0.398285 + 0.917262i \(0.630394\pi\)
\(114\) −4.57557 + 5.45041i −0.428541 + 0.510478i
\(115\) 0.584490 0.337456i 0.0545040 0.0314679i
\(116\) −0.413684 0.238841i −0.0384096 0.0221758i
\(117\) −9.55557 + 5.06863i −0.883413 + 0.468595i
\(118\) 4.78769i 0.440742i
\(119\) −7.01109 0.750093i −0.642706 0.0687609i
\(120\) 6.93408 2.52200i 0.632992 0.230226i
\(121\) −4.39425 + 7.61106i −0.399477 + 0.691915i
\(122\) −1.32012 + 2.28652i −0.119518 + 0.207012i
\(123\) 11.4482 13.6370i 1.03225 1.22961i
\(124\) −3.04646 1.75887i −0.273580 0.157951i
\(125\) 34.7072 3.10431
\(126\) −3.49601 + 7.12586i −0.311449 + 0.634822i
\(127\) 2.85690 4.94830i 0.253509 0.439091i −0.710980 0.703212i \(-0.751749\pi\)
0.964490 + 0.264121i \(0.0850819\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −4.73794 13.0267i −0.417152 1.14694i
\(130\) −3.20144 + 15.0222i −0.280785 + 1.31753i
\(131\) −7.49454 12.9809i −0.654801 1.13415i −0.981944 0.189173i \(-0.939419\pi\)
0.327143 0.944975i \(-0.393914\pi\)
\(132\) −2.42062 + 0.880404i −0.210688 + 0.0766294i
\(133\) −8.78247 6.40585i −0.761537 0.555457i
\(134\) −2.83094 + 1.63445i −0.244556 + 0.141195i
\(135\) −0.0152294 + 22.1354i −0.00131074 + 1.90511i
\(136\) 2.66507i 0.228528i
\(137\) 10.6670i 0.911342i −0.890148 0.455671i \(-0.849399\pi\)
0.890148 0.455671i \(-0.150601\pi\)
\(138\) 0.270231 + 0.0477129i 0.0230036 + 0.00406159i
\(139\) 9.57332 5.52716i 0.811998 0.468807i −0.0356511 0.999364i \(-0.511351\pi\)
0.847649 + 0.530557i \(0.178017\pi\)
\(140\) 4.56508 + 10.3049i 0.385819 + 0.870924i
\(141\) 2.68938 + 7.39428i 0.226487 + 0.622711i
\(142\) −4.44713 7.70265i −0.373195 0.646392i
\(143\) 1.11759 5.24409i 0.0934576 0.438533i
\(144\) 2.81861 + 1.02735i 0.234884 + 0.0856128i
\(145\) 2.03491i 0.168990i
\(146\) 3.48176 6.03059i 0.288153 0.499095i
\(147\) −11.2235 4.58626i −0.925696 0.378268i
\(148\) 10.4771 0.861211
\(149\) −7.27861 4.20231i −0.596287 0.344266i 0.171292 0.985220i \(-0.445206\pi\)
−0.767580 + 0.640954i \(0.778539\pi\)
\(150\) 17.4408 + 14.6414i 1.42404 + 1.19547i
\(151\) 11.2766 19.5317i 0.917679 1.58947i 0.114748 0.993395i \(-0.463394\pi\)
0.802931 0.596072i \(-0.203273\pi\)
\(152\) −2.05432 + 3.55819i −0.166627 + 0.288607i
\(153\) −7.51178 2.73797i −0.607291 0.221351i
\(154\) −1.59362 3.59734i −0.128418 0.289882i
\(155\) 14.9855i 1.20366i
\(156\) −4.92406 + 3.84105i −0.394240 + 0.307530i
\(157\) 14.0883 + 8.13386i 1.12437 + 0.649153i 0.942512 0.334173i \(-0.108457\pi\)
0.181854 + 0.983326i \(0.441790\pi\)
\(158\) 14.2122 8.20543i 1.13066 0.652789i
\(159\) −4.96084 4.16457i −0.393420 0.330272i
\(160\) 3.68924 2.12998i 0.291660 0.168390i
\(161\) −0.0445910 + 0.416791i −0.00351427 + 0.0328477i
\(162\) −5.79141 + 6.88909i −0.455016 + 0.541258i
\(163\) 3.49025 6.04529i 0.273377 0.473503i −0.696347 0.717705i \(-0.745193\pi\)
0.969724 + 0.244202i \(0.0785259\pi\)
\(164\) 5.13995 8.90266i 0.401363 0.695181i
\(165\) −8.40389 7.05499i −0.654242 0.549230i
\(166\) 8.37013i 0.649648i
\(167\) −4.12054 + 7.13698i −0.318857 + 0.552276i −0.980250 0.197764i \(-0.936632\pi\)
0.661393 + 0.750039i \(0.269965\pi\)
\(168\) −1.27234 + 4.40240i −0.0981629 + 0.339653i
\(169\) −1.34508 12.9302i −0.103468 0.994633i
\(170\) −9.83207 + 5.67655i −0.754085 + 0.435371i
\(171\) −7.91862 9.44584i −0.605552 0.722342i
\(172\) −4.00148 6.93077i −0.305110 0.528467i
\(173\) −7.88311 + 13.6540i −0.599342 + 1.03809i 0.393576 + 0.919292i \(0.371238\pi\)
−0.992918 + 0.118799i \(0.962096\pi\)
\(174\) 0.531968 0.633679i 0.0403284 0.0480391i
\(175\) −20.4982 + 28.1031i −1.54951 + 2.12440i
\(176\) −1.28788 + 0.743556i −0.0970773 + 0.0560476i
\(177\) 8.16620 + 1.44185i 0.613809 + 0.108376i
\(178\) 11.8904i 0.891224i
\(179\) −6.51608 + 3.76206i −0.487035 + 0.281190i −0.723343 0.690488i \(-0.757396\pi\)
0.236309 + 0.971678i \(0.424062\pi\)
\(180\) 2.21343 + 12.5868i 0.164980 + 0.938161i
\(181\) 3.30682i 0.245794i −0.992419 0.122897i \(-0.960781\pi\)
0.992419 0.122897i \(-0.0392185\pi\)
\(182\) −6.36610 7.10442i −0.471887 0.526614i
\(183\) −3.50248 2.94030i −0.258911 0.217353i
\(184\) 0.158431 0.0116797
\(185\) 22.3160 + 38.6524i 1.64071 + 2.84178i
\(186\) 3.91752 4.66655i 0.287247 0.342168i
\(187\) 3.43228 1.98163i 0.250993 0.144911i
\(188\) 2.27135 + 3.93409i 0.165655 + 0.286923i
\(189\) −11.1015 8.10904i −0.807516 0.589846i
\(190\) −17.5027 −1.26978
\(191\) 22.5097 + 12.9960i 1.62875 + 0.940358i 0.984467 + 0.175569i \(0.0561766\pi\)
0.644281 + 0.764789i \(0.277157\pi\)
\(192\) 1.70567 + 0.301159i 0.123096 + 0.0217343i
\(193\) −6.03765 10.4575i −0.434600 0.752749i 0.562663 0.826686i \(-0.309777\pi\)
−0.997263 + 0.0739372i \(0.976444\pi\)
\(194\) −1.81173 3.13800i −0.130074 0.225295i
\(195\) −24.6587 9.98465i −1.76585 0.715015i
\(196\) −6.84157 1.48086i −0.488683 0.105776i
\(197\) 2.02572 + 1.16955i 0.144326 + 0.0833268i 0.570424 0.821350i \(-0.306779\pi\)
−0.426098 + 0.904677i \(0.640112\pi\)
\(198\) −0.772687 4.39391i −0.0549125 0.312262i
\(199\) 10.6892i 0.757736i −0.925451 0.378868i \(-0.876313\pi\)
0.925451 0.378868i \(-0.123687\pi\)
\(200\) 11.3859 + 6.57365i 0.805104 + 0.464827i
\(201\) −1.93526 5.32087i −0.136503 0.375306i
\(202\) −4.17343 + 2.40953i −0.293641 + 0.169534i
\(203\) 1.02107 + 0.744761i 0.0716652 + 0.0522719i
\(204\) −4.54572 0.802608i −0.318264 0.0561938i
\(205\) 43.7920 3.05857
\(206\) 1.24322 + 2.15332i 0.0866192 + 0.150029i
\(207\) −0.162765 + 0.446555i −0.0113129 + 0.0310377i
\(208\) −2.41401 + 2.67816i −0.167382 + 0.185697i
\(209\) 6.11001 0.422638
\(210\) −18.9516 + 4.68309i −1.30778 + 0.323164i
\(211\) 2.22580 3.85520i 0.153230 0.265403i −0.779183 0.626797i \(-0.784366\pi\)
0.932413 + 0.361394i \(0.117699\pi\)
\(212\) −3.23858 1.86979i −0.222427 0.128418i
\(213\) 14.4775 5.26560i 0.991979 0.360793i
\(214\) 9.19824 0.628779
\(215\) 17.0462 29.5249i 1.16254 2.01358i
\(216\) −2.60117 + 4.49821i −0.176987 + 0.306065i
\(217\) 7.51939 + 5.48457i 0.510450 + 0.372317i
\(218\) 5.83432 + 3.36845i 0.395150 + 0.228140i
\(219\) 9.23763 + 7.75490i 0.624221 + 0.524028i
\(220\) −5.48631 3.16752i −0.369887 0.213554i
\(221\) 6.43351 7.13748i 0.432765 0.480119i
\(222\) −3.15526 + 17.8704i −0.211767 + 1.19938i
\(223\) −3.82172 2.20647i −0.255921 0.147756i 0.366551 0.930398i \(-0.380538\pi\)
−0.622473 + 0.782642i \(0.713872\pi\)
\(224\) −0.281454 + 2.63074i −0.0188054 + 0.175774i
\(225\) −30.2259 + 25.3389i −2.01506 + 1.68926i
\(226\) −8.54191 14.7950i −0.568200 0.984151i
\(227\) −19.6477 −1.30407 −0.652033 0.758190i \(-0.726084\pi\)
−0.652033 + 0.758190i \(0.726084\pi\)
\(228\) −5.45041 4.57557i −0.360962 0.303025i
\(229\) −11.0523 + 6.38106i −0.730358 + 0.421672i −0.818553 0.574431i \(-0.805223\pi\)
0.0881953 + 0.996103i \(0.471890\pi\)
\(230\) 0.337456 + 0.584490i 0.0222512 + 0.0385401i
\(231\) 6.61581 1.63482i 0.435288 0.107563i
\(232\) 0.238841 0.413684i 0.0156807 0.0271597i
\(233\) −19.0288 + 10.9863i −1.24662 + 0.719734i −0.970433 0.241371i \(-0.922403\pi\)
−0.276183 + 0.961105i \(0.589070\pi\)
\(234\) −5.06863 9.55557i −0.331347 0.624667i
\(235\) −9.67586 + 16.7591i −0.631183 + 1.09324i
\(236\) 4.78769 0.311652
\(237\) 9.71561 + 26.7125i 0.631096 + 1.73516i
\(238\) 0.750093 7.01109i 0.0486213 0.454462i
\(239\) 17.9466i 1.16087i −0.814306 0.580436i \(-0.802882\pi\)
0.814306 0.580436i \(-0.197118\pi\)
\(240\) 2.52200 + 6.93408i 0.162794 + 0.447593i
\(241\) 16.4325i 1.05851i 0.848463 + 0.529254i \(0.177528\pi\)
−0.848463 + 0.529254i \(0.822472\pi\)
\(242\) −7.61106 4.39425i −0.489258 0.282473i
\(243\) −10.0064 11.9529i −0.641909 0.766781i
\(244\) −2.28652 1.32012i −0.146380 0.0845123i
\(245\) −9.10916 28.3944i −0.581963 1.81405i
\(246\) 13.6370 + 11.4482i 0.869466 + 0.729909i
\(247\) 14.0913 4.57024i 0.896609 0.290797i
\(248\) 1.75887 3.04646i 0.111689 0.193450i
\(249\) 14.2767 + 2.52074i 0.904746 + 0.159745i
\(250\) 34.7072i 2.19508i
\(251\) −5.60540 9.70884i −0.353810 0.612816i 0.633104 0.774067i \(-0.281781\pi\)
−0.986913 + 0.161251i \(0.948447\pi\)
\(252\) −7.12586 3.49601i −0.448887 0.220228i
\(253\) −0.117802 0.204040i −0.00740617 0.0128279i
\(254\) 4.94830 + 2.85690i 0.310484 + 0.179258i
\(255\) −6.72129 18.4798i −0.420904 1.15725i
\(256\) 1.00000 0.0625000
\(257\) −2.46735 −0.153909 −0.0769546 0.997035i \(-0.524520\pi\)
−0.0769546 + 0.997035i \(0.524520\pi\)
\(258\) 13.0267 4.73794i 0.811006 0.294971i
\(259\) −27.5625 2.94881i −1.71265 0.183230i
\(260\) −15.0222 3.20144i −0.931636 0.198545i
\(261\) 0.920640 + 1.09820i 0.0569862 + 0.0679768i
\(262\) 12.9809 7.49454i 0.801964 0.463014i
\(263\) −14.4808 + 8.36047i −0.892922 + 0.515529i −0.874897 0.484309i \(-0.839071\pi\)
−0.0180250 + 0.999838i \(0.505738\pi\)
\(264\) −0.880404 2.42062i −0.0541851 0.148979i
\(265\) 15.9305i 0.978604i
\(266\) 6.40585 8.78247i 0.392768 0.538488i
\(267\) −20.2811 3.58090i −1.24118 0.219147i
\(268\) −1.63445 2.83094i −0.0998396 0.172927i
\(269\) 2.62459 0.160024 0.0800121 0.996794i \(-0.474504\pi\)
0.0800121 + 0.996794i \(0.474504\pi\)
\(270\) −22.1354 0.0152294i −1.34712 0.000926832i
\(271\) 8.91429i 0.541505i 0.962649 + 0.270752i \(0.0872725\pi\)
−0.962649 + 0.270752i \(0.912728\pi\)
\(272\) −2.66507 −0.161593
\(273\) 14.0350 8.71890i 0.849436 0.527692i
\(274\) 10.6670 0.644416
\(275\) 19.5515i 1.17900i
\(276\) −0.0477129 + 0.270231i −0.00287198 + 0.0162660i
\(277\) −29.2308 −1.75631 −0.878156 0.478375i \(-0.841226\pi\)
−0.878156 + 0.478375i \(0.841226\pi\)
\(278\) 5.52716 + 9.57332i 0.331497 + 0.574169i
\(279\) 6.77978 + 8.08736i 0.405895 + 0.484178i
\(280\) −10.3049 + 4.56508i −0.615836 + 0.272815i
\(281\) 18.8564i 1.12488i −0.826839 0.562439i \(-0.809863\pi\)
0.826839 0.562439i \(-0.190137\pi\)
\(282\) −7.39428 + 2.68938i −0.440323 + 0.160150i
\(283\) −0.302847 + 0.174849i −0.0180024 + 0.0103937i −0.508974 0.860782i \(-0.669975\pi\)
0.490972 + 0.871175i \(0.336642\pi\)
\(284\) 7.70265 4.44713i 0.457068 0.263888i
\(285\) 5.27108 29.8538i 0.312232 1.76838i
\(286\) 5.24409 + 1.11759i 0.310090 + 0.0660845i
\(287\) −16.0276 + 21.9739i −0.946077 + 1.29708i
\(288\) −1.02735 + 2.81861i −0.0605374 + 0.166088i
\(289\) −9.89742 −0.582201
\(290\) 2.03491 0.119494
\(291\) 5.89801 2.14517i 0.345747 0.125752i
\(292\) 6.03059 + 3.48176i 0.352914 + 0.203755i
\(293\) −5.35220 9.27029i −0.312679 0.541576i 0.666262 0.745717i \(-0.267893\pi\)
−0.978941 + 0.204141i \(0.934560\pi\)
\(294\) 4.58626 11.2235i 0.267476 0.654566i
\(295\) 10.1977 + 17.6629i 0.593732 + 1.02837i
\(296\) 10.4771i 0.608968i
\(297\) 7.72726 + 0.00531643i 0.448381 + 0.000308491i
\(298\) 4.20231 7.27861i 0.243433 0.421639i
\(299\) −0.424304 0.382455i −0.0245381 0.0221179i
\(300\) −14.6414 + 17.4408i −0.845323 + 1.00695i
\(301\) 8.57617 + 19.3593i 0.494322 + 1.11585i
\(302\) 19.5317 + 11.2766i 1.12392 + 0.648897i
\(303\) −2.85299 7.84414i −0.163900 0.450634i
\(304\) −3.55819 2.05432i −0.204076 0.117823i
\(305\) 11.2474i 0.644022i
\(306\) 2.73797 7.51178i 0.156519 0.429420i
\(307\) 4.04677i 0.230961i 0.993310 + 0.115481i \(0.0368408\pi\)
−0.993310 + 0.115481i \(0.963159\pi\)
\(308\) 3.59734 1.59362i 0.204978 0.0908051i
\(309\) −4.04726 + 1.47203i −0.230240 + 0.0837408i
\(310\) 14.9855 0.851118
\(311\) −8.19728 + 14.1981i −0.464825 + 0.805101i −0.999194 0.0401509i \(-0.987216\pi\)
0.534369 + 0.845252i \(0.320549\pi\)
\(312\) −3.84105 4.92406i −0.217457 0.278770i
\(313\) 17.1202 9.88433i 0.967689 0.558696i 0.0691582 0.997606i \(-0.477969\pi\)
0.898531 + 0.438910i \(0.144635\pi\)
\(314\) −8.13386 + 14.0883i −0.459020 + 0.795047i
\(315\) −2.28037 33.7354i −0.128484 1.90078i
\(316\) 8.20543 + 14.2122i 0.461591 + 0.799500i
\(317\) −6.98551 + 4.03309i −0.392345 + 0.226521i −0.683176 0.730254i \(-0.739402\pi\)
0.290830 + 0.956775i \(0.406068\pi\)
\(318\) 4.16457 4.96084i 0.233538 0.278190i
\(319\) −0.710366 −0.0397729
\(320\) 2.12998 + 3.68924i 0.119070 + 0.206235i
\(321\) −2.77013 + 15.6891i −0.154614 + 0.875682i
\(322\) −0.416791 0.0445910i −0.0232268 0.00248496i
\(323\) 9.48281 + 5.47490i 0.527638 + 0.304632i
\(324\) −6.88909 5.79141i −0.382727 0.321745i
\(325\) −14.6244 45.0910i −0.811214 2.50120i
\(326\) 6.04529 + 3.49025i 0.334818 + 0.193307i
\(327\) −7.50251 + 8.93698i −0.414890 + 0.494216i
\(328\) 8.90266 + 5.13995i 0.491567 + 0.283806i
\(329\) −4.86805 10.9888i −0.268385 0.605834i
\(330\) 7.05499 8.40389i 0.388364 0.462619i
\(331\) −9.20927 + 15.9509i −0.506188 + 0.876742i 0.493787 + 0.869583i \(0.335612\pi\)
−0.999974 + 0.00715951i \(0.997721\pi\)
\(332\) 8.37013 0.459370
\(333\) −29.5308 10.7637i −1.61828 0.589845i
\(334\) −7.13698 4.12054i −0.390518 0.225466i
\(335\) 6.96268 12.0597i 0.380412 0.658893i
\(336\) −4.40240 1.27234i −0.240171 0.0694116i
\(337\) −16.8561 −0.918208 −0.459104 0.888383i \(-0.651829\pi\)
−0.459104 + 0.888383i \(0.651829\pi\)
\(338\) 12.9302 1.34508i 0.703312 0.0731626i
\(339\) 27.8079 10.1140i 1.51032 0.549318i
\(340\) −5.67655 9.83207i −0.307854 0.533219i
\(341\) −5.23128 −0.283290
\(342\) 9.44584 7.91862i 0.510773 0.428190i
\(343\) 17.5816 + 5.82135i 0.949316 + 0.314323i
\(344\) 6.93077 4.00148i 0.373682 0.215746i
\(345\) −1.09857 + 0.399563i −0.0591452 + 0.0215117i
\(346\) −13.6540 7.88311i −0.734041 0.423799i
\(347\) 15.6755i 0.841507i 0.907175 + 0.420754i \(0.138234\pi\)
−0.907175 + 0.420754i \(0.861766\pi\)
\(348\) 0.633679 + 0.531968i 0.0339688 + 0.0285165i
\(349\) 16.3312 + 9.42880i 0.874187 + 0.504712i 0.868737 0.495273i \(-0.164932\pi\)
0.00544978 + 0.999985i \(0.498265\pi\)
\(350\) −28.1031 20.4982i −1.50218 1.09567i
\(351\) 17.8251 5.76767i 0.951433 0.307855i
\(352\) −0.743556 1.28788i −0.0396317 0.0686441i
\(353\) −9.20379 15.9414i −0.489868 0.848477i 0.510064 0.860137i \(-0.329622\pi\)
−0.999932 + 0.0116598i \(0.996288\pi\)
\(354\) −1.44185 + 8.16620i −0.0766336 + 0.434029i
\(355\) 32.8130 + 18.9446i 1.74153 + 1.00548i
\(356\) −11.8904 −0.630190
\(357\) 11.7327 + 3.39086i 0.620960 + 0.179463i
\(358\) −3.76206 6.51608i −0.198831 0.344385i
\(359\) 29.2230 16.8719i 1.54233 0.890465i 0.543639 0.839319i \(-0.317046\pi\)
0.998691 0.0511459i \(-0.0162873\pi\)
\(360\) −12.5868 + 2.21343i −0.663380 + 0.116658i
\(361\) −1.05953 1.83515i −0.0557645 0.0965870i
\(362\) 3.30682 0.173803
\(363\) 9.78727 11.6586i 0.513698 0.611917i
\(364\) 7.10442 6.36610i 0.372373 0.333675i
\(365\) 29.6644i 1.55271i
\(366\) 2.94030 3.50248i 0.153692 0.183078i
\(367\) −29.4842 + 17.0227i −1.53906 + 0.888579i −0.540171 + 0.841555i \(0.681640\pi\)
−0.998894 + 0.0470240i \(0.985026\pi\)
\(368\) 0.158431i 0.00825879i
\(369\) −23.6337 + 19.8126i −1.23032 + 1.03140i
\(370\) −38.6524 + 22.3160i −2.00945 + 1.16015i
\(371\) 7.99359 + 5.83045i 0.415007 + 0.302702i
\(372\) 4.66655 + 3.91752i 0.241949 + 0.203114i
\(373\) −15.4251 + 26.7171i −0.798682 + 1.38336i 0.121792 + 0.992556i \(0.461136\pi\)
−0.920474 + 0.390803i \(0.872197\pi\)
\(374\) 1.98163 + 3.43228i 0.102467 + 0.177479i
\(375\) −59.1990 10.4524i −3.05702 0.539758i
\(376\) −3.93409 + 2.27135i −0.202885 + 0.117136i
\(377\) −1.63829 + 0.531348i −0.0843764 + 0.0273658i
\(378\) 8.10904 11.1015i 0.417084 0.571000i
\(379\) 3.11757 5.39979i 0.160139 0.277368i −0.774780 0.632231i \(-0.782139\pi\)
0.934918 + 0.354863i \(0.115473\pi\)
\(380\) 17.5027i 0.897868i
\(381\) −6.36315 + 7.57978i −0.325994 + 0.388324i
\(382\) −12.9960 + 22.5097i −0.664934 + 1.15170i
\(383\) −2.72642 + 4.72231i −0.139314 + 0.241299i −0.927237 0.374475i \(-0.877823\pi\)
0.787923 + 0.615773i \(0.211156\pi\)
\(384\) −0.301159 + 1.70567i −0.0153684 + 0.0870420i
\(385\) 13.5415 + 9.87706i 0.690140 + 0.503382i
\(386\) 10.4575 6.03765i 0.532274 0.307309i
\(387\) 4.15826 + 23.6461i 0.211376 + 1.20200i
\(388\) 3.13800 1.81173i 0.159308 0.0919765i
\(389\) 33.4019 + 19.2846i 1.69354 + 0.977768i 0.951616 + 0.307290i \(0.0994221\pi\)
0.741929 + 0.670479i \(0.233911\pi\)
\(390\) 9.98465 24.6587i 0.505592 1.24864i
\(391\) 0.422230i 0.0213531i
\(392\) 1.48086 6.84157i 0.0747948 0.345551i
\(393\) 8.87388 + 24.3982i 0.447628 + 1.23073i
\(394\) −1.16955 + 2.02572i −0.0589209 + 0.102054i
\(395\) −34.9548 + 60.5436i −1.75877 + 3.04628i
\(396\) 4.39391 0.772687i 0.220802 0.0388290i
\(397\) −23.3251 13.4667i −1.17065 0.675876i −0.216819 0.976212i \(-0.569568\pi\)
−0.953834 + 0.300336i \(0.902901\pi\)
\(398\) 10.6892 0.535801
\(399\) 13.0508 + 13.5712i 0.653357 + 0.679408i
\(400\) −6.57365 + 11.3859i −0.328682 + 0.569295i
\(401\) 9.26244i 0.462544i −0.972889 0.231272i \(-0.925711\pi\)
0.972889 0.231272i \(-0.0742888\pi\)
\(402\) 5.32087 1.93526i 0.265381 0.0965219i
\(403\) −12.0647 + 3.91296i −0.600987 + 0.194918i
\(404\) −2.40953 4.17343i −0.119879 0.207636i
\(405\) 6.69225 37.7511i 0.332541 1.87587i
\(406\) −0.744761 + 1.02107i −0.0369618 + 0.0506750i
\(407\) 13.4932 7.79030i 0.668833 0.386151i
\(408\) 0.802608 4.54572i 0.0397350 0.225047i
\(409\) 15.2524i 0.754184i −0.926176 0.377092i \(-0.876924\pi\)
0.926176 0.377092i \(-0.123076\pi\)
\(410\) 43.7920i 2.16273i
\(411\) −3.21245 + 18.1943i −0.158459 + 0.897460i
\(412\) −2.15332 + 1.24322i −0.106086 + 0.0612490i
\(413\) −12.5952 1.34751i −0.619767 0.0663068i
\(414\) −0.446555 0.162765i −0.0219470 0.00799945i
\(415\) 17.8282 + 30.8794i 0.875153 + 1.51581i
\(416\) −2.67816 2.41401i −0.131308 0.118357i
\(417\) −17.9935 + 6.54441i −0.881143 + 0.320481i
\(418\) 6.11001i 0.298850i
\(419\) 10.7855 18.6811i 0.526908 0.912631i −0.472600 0.881277i \(-0.656685\pi\)
0.999508 0.0313545i \(-0.00998208\pi\)
\(420\) −4.68309 18.9516i −0.228511 0.924742i
\(421\) −25.8262 −1.25869 −0.629345 0.777126i \(-0.716677\pi\)
−0.629345 + 0.777126i \(0.716677\pi\)
\(422\) 3.85520 + 2.22580i 0.187668 + 0.108350i
\(423\) −2.36033 13.4221i −0.114763 0.652606i
\(424\) 1.86979 3.23858i 0.0908053 0.157279i
\(425\) 17.5192 30.3442i 0.849807 1.47191i
\(426\) 5.26560 + 14.4775i 0.255119 + 0.701435i
\(427\) 5.64369 + 4.11645i 0.273117 + 0.199209i
\(428\) 9.19824i 0.444614i
\(429\) −3.48554 + 8.60811i −0.168284 + 0.415603i
\(430\) 29.5249 + 17.0462i 1.42381 + 0.822040i
\(431\) 9.38332 5.41746i 0.451979 0.260950i −0.256687 0.966495i \(-0.582631\pi\)
0.708666 + 0.705545i \(0.249298\pi\)
\(432\) −4.49821 2.60117i −0.216420 0.125149i
\(433\) −15.5101 + 8.95476i −0.745368 + 0.430338i −0.824018 0.566564i \(-0.808272\pi\)
0.0786500 + 0.996902i \(0.474939\pi\)
\(434\) −5.48457 + 7.51939i −0.263268 + 0.360942i
\(435\) −0.612830 + 3.47087i −0.0293829 + 0.166416i
\(436\) −3.36845 + 5.83432i −0.161319 + 0.279413i
\(437\) 0.325469 0.563728i 0.0155693 0.0269668i
\(438\) −7.75490 + 9.23763i −0.370543 + 0.441391i
\(439\) 7.13870i 0.340711i −0.985383 0.170356i \(-0.945508\pi\)
0.985383 0.170356i \(-0.0544917\pi\)
\(440\) 3.16752 5.48631i 0.151006 0.261550i
\(441\) 17.7623 + 11.2027i 0.845825 + 0.533461i
\(442\) 7.13748 + 6.43351i 0.339495 + 0.306011i
\(443\) 15.1527 8.74841i 0.719926 0.415650i −0.0947992 0.995496i \(-0.530221\pi\)
0.814726 + 0.579847i \(0.196888\pi\)
\(444\) −17.8704 3.15526i −0.848093 0.149742i
\(445\) −25.3264 43.8665i −1.20058 2.07947i
\(446\) 2.20647 3.82172i 0.104479 0.180964i
\(447\) 11.1493 + 9.35976i 0.527345 + 0.442701i
\(448\) −2.63074 0.281454i −0.124291 0.0132974i
\(449\) 3.24523 1.87364i 0.153152 0.0884224i −0.421466 0.906844i \(-0.638484\pi\)
0.574618 + 0.818422i \(0.305151\pi\)
\(450\) −25.3389 30.2259i −1.19449 1.42486i
\(451\) 15.2874i 0.719854i
\(452\) 14.7950 8.54191i 0.695900 0.401778i
\(453\) −25.1163 + 29.9185i −1.18007 + 1.40569i
\(454\) 19.6477i 0.922114i
\(455\) 38.6184 + 12.6502i 1.81046 + 0.593050i
\(456\) 4.57557 5.45041i 0.214271 0.255239i
\(457\) 12.5530 0.587205 0.293603 0.955928i \(-0.405146\pi\)
0.293603 + 0.955928i \(0.405146\pi\)
\(458\) −6.38106 11.0523i −0.298167 0.516441i
\(459\) 11.9880 + 6.93230i 0.559554 + 0.323572i
\(460\) −0.584490 + 0.337456i −0.0272520 + 0.0157339i
\(461\) 3.57386 + 6.19010i 0.166451 + 0.288302i 0.937170 0.348874i \(-0.113436\pi\)
−0.770719 + 0.637176i \(0.780103\pi\)
\(462\) 1.63482 + 6.61581i 0.0760588 + 0.307795i
\(463\) −6.57780 −0.305696 −0.152848 0.988250i \(-0.548845\pi\)
−0.152848 + 0.988250i \(0.548845\pi\)
\(464\) 0.413684 + 0.238841i 0.0192048 + 0.0110879i
\(465\) −4.51301 + 25.5602i −0.209286 + 1.18533i
\(466\) −10.9863 19.0288i −0.508929 0.881490i
\(467\) 10.6728 + 18.4857i 0.493876 + 0.855418i 0.999975 0.00705702i \(-0.00224634\pi\)
−0.506099 + 0.862475i \(0.668913\pi\)
\(468\) 9.55557 5.06863i 0.441706 0.234298i
\(469\) 3.50302 + 7.90749i 0.161754 + 0.365134i
\(470\) −16.7591 9.67586i −0.773038 0.446314i
\(471\) −21.5803 18.1165i −0.994369 0.834763i
\(472\) 4.78769i 0.220371i
\(473\) −10.3068 5.95065i −0.473909 0.273611i
\(474\) −26.7125 + 9.71561i −1.22694 + 0.446253i
\(475\) 46.7806 27.0088i 2.14644 1.23925i
\(476\) 7.01109 + 0.750093i 0.321353 + 0.0343805i
\(477\) 7.20734 + 8.59738i 0.330002 + 0.393647i
\(478\) 17.9466 0.820860
\(479\) 12.5227 + 21.6900i 0.572177 + 0.991040i 0.996342 + 0.0854548i \(0.0272343\pi\)
−0.424165 + 0.905585i \(0.639432\pi\)
\(480\) −6.93408 + 2.52200i −0.316496 + 0.115113i
\(481\) 25.2918 28.0593i 1.15321 1.27939i
\(482\) −16.4325 −0.748478
\(483\) 0.201578 0.697478i 0.00917210 0.0317363i
\(484\) 4.39425 7.61106i 0.199739 0.345957i
\(485\) 13.3678 + 7.71789i 0.607000 + 0.350451i
\(486\) 11.9529 10.0064i 0.542196 0.453898i
\(487\) 35.1851 1.59439 0.797195 0.603722i \(-0.206316\pi\)
0.797195 + 0.603722i \(0.206316\pi\)
\(488\) 1.32012 2.28652i 0.0597592 0.103506i
\(489\) −7.77380 + 9.26014i −0.351543 + 0.418758i
\(490\) 28.3944 9.10916i 1.28273 0.411510i
\(491\) 27.3749 + 15.8049i 1.23541 + 0.713265i 0.968153 0.250360i \(-0.0805490\pi\)
0.267258 + 0.963625i \(0.413882\pi\)
\(492\) −11.4482 + 13.6370i −0.516123 + 0.614805i
\(493\) −1.10250 0.636527i −0.0496539 0.0286677i
\(494\) 4.57024 + 14.0913i 0.205625 + 0.633998i
\(495\) 12.2096 + 14.5644i 0.548780 + 0.654620i
\(496\) 3.04646 + 1.75887i 0.136790 + 0.0789757i
\(497\) −21.5153 + 9.53129i −0.965094 + 0.427537i
\(498\) −2.52074 + 14.2767i −0.112957 + 0.639752i
\(499\) −8.10265 14.0342i −0.362725 0.628257i 0.625684 0.780077i \(-0.284820\pi\)
−0.988408 + 0.151819i \(0.951487\pi\)
\(500\) −34.7072 −1.55215
\(501\) 9.17763 10.9324i 0.410026 0.488423i
\(502\) 9.70884 5.60540i 0.433327 0.250181i
\(503\) 16.5718 + 28.7032i 0.738900 + 1.27981i 0.952991 + 0.302999i \(0.0979879\pi\)
−0.214091 + 0.976814i \(0.568679\pi\)
\(504\) 3.49601 7.12586i 0.155724 0.317411i
\(505\) 10.2645 17.7787i 0.456765 0.791140i
\(506\) 0.204040 0.117802i 0.00907067 0.00523696i
\(507\) −1.59979 + 22.4598i −0.0710493 + 0.997473i
\(508\) −2.85690 + 4.94830i −0.126755 + 0.219545i
\(509\) −10.5327 −0.466855 −0.233427 0.972374i \(-0.574994\pi\)
−0.233427 + 0.972374i \(0.574994\pi\)
\(510\) 18.4798 6.72129i 0.818299 0.297624i
\(511\) −14.8850 10.8569i −0.658472 0.480283i
\(512\) 1.00000i 0.0441942i
\(513\) 10.6618 + 18.4962i 0.470732 + 0.816629i
\(514\) 2.46735i 0.108830i
\(515\) −9.17307 5.29607i −0.404214 0.233373i
\(516\) 4.73794 + 13.0267i 0.208576 + 0.573468i
\(517\) 5.85043 + 3.37775i 0.257302 + 0.148553i
\(518\) 2.94881 27.5625i 0.129563 1.21103i
\(519\) 17.5580 20.9150i 0.770710 0.918068i
\(520\) 3.20144 15.0222i 0.140392 0.658766i
\(521\) 9.84785 17.0570i 0.431442 0.747279i −0.565556 0.824710i \(-0.691338\pi\)
0.996998 + 0.0774306i \(0.0246716\pi\)
\(522\) −1.09820 + 0.920640i −0.0480668 + 0.0402953i
\(523\) 3.30184i 0.144379i −0.997391 0.0721896i \(-0.977001\pi\)
0.997391 0.0721896i \(-0.0229987\pi\)
\(524\) 7.49454 + 12.9809i 0.327400 + 0.567074i
\(525\) 43.4265 41.7614i 1.89529 1.82262i
\(526\) −8.36047 14.4808i −0.364534 0.631391i
\(527\) −8.11901 4.68751i −0.353670 0.204191i
\(528\) 2.42062 0.880404i 0.105344 0.0383147i
\(529\) 22.9749 0.998909
\(530\) 15.9305 0.691977
\(531\) −13.4946 4.91865i −0.585616 0.213451i
\(532\) 8.78247 + 6.40585i 0.380768 + 0.277729i
\(533\) −11.4348 35.2568i −0.495297 1.52714i
\(534\) 3.58090 20.2811i 0.154961 0.877648i
\(535\) −33.9345 + 19.5921i −1.46712 + 0.847040i
\(536\) 2.83094 1.63445i 0.122278 0.0705973i
\(537\) 12.2472 4.45445i 0.528508 0.192224i
\(538\) 2.62459i 0.113154i
\(539\) −9.91220 + 3.17992i −0.426949 + 0.136969i
\(540\) 0.0152294 22.1354i 0.000655369 0.952557i
\(541\) 14.3963 + 24.9351i 0.618944 + 1.07204i 0.989679 + 0.143304i \(0.0457726\pi\)
−0.370735 + 0.928739i \(0.620894\pi\)
\(542\) −8.91429 −0.382902
\(543\) −0.995878 + 5.64034i −0.0427372 + 0.242050i
\(544\) 2.66507i 0.114264i
\(545\) −28.6989 −1.22933
\(546\) 8.71890 + 14.0350i 0.373135 + 0.600642i
\(547\) 19.4820 0.832989 0.416495 0.909138i \(-0.363258\pi\)
0.416495 + 0.909138i \(0.363258\pi\)
\(548\) 10.6670i 0.455671i
\(549\) 5.08857 + 6.06998i 0.217175 + 0.259060i
\(550\) 19.5515 0.833679
\(551\) −0.981311 1.69968i −0.0418053 0.0724089i
\(552\) −0.270231 0.0477129i −0.0115018 0.00203080i
\(553\) −17.5863 39.6981i −0.747844 1.68813i
\(554\) 29.2308i 1.24190i
\(555\) −26.4232 72.6489i −1.12160 3.08377i
\(556\) −9.57332 + 5.52716i −0.405999 + 0.234404i
\(557\) 32.8823 18.9846i 1.39327 0.804403i 0.399592 0.916693i \(-0.369152\pi\)
0.993676 + 0.112290i \(0.0358184\pi\)
\(558\) −8.08736 + 6.77978i −0.342365 + 0.287011i
\(559\) −28.2214 6.01437i −1.19364 0.254381i
\(560\) −4.56508 10.3049i −0.192910 0.435462i
\(561\) −6.45111 + 2.34634i −0.272366 + 0.0990624i
\(562\) 18.8564 0.795409
\(563\) 10.9234 0.460365 0.230183 0.973147i \(-0.426068\pi\)
0.230183 + 0.973147i \(0.426068\pi\)
\(564\) −2.68938 7.39428i −0.113243 0.311355i
\(565\) 63.0263 + 36.3883i 2.65154 + 1.53087i
\(566\) −0.174849 0.302847i −0.00734944 0.0127296i
\(567\) 16.4934 + 17.1746i 0.692657 + 0.721267i
\(568\) 4.44713 + 7.70265i 0.186597 + 0.323196i
\(569\) 10.5599i 0.442696i −0.975195 0.221348i \(-0.928954\pi\)
0.975195 0.221348i \(-0.0710456\pi\)
\(570\) 29.8538 + 5.27108i 1.25044 + 0.220781i
\(571\) 8.25387 14.2961i 0.345414 0.598274i −0.640015 0.768362i \(-0.721072\pi\)
0.985429 + 0.170088i \(0.0544053\pi\)
\(572\) −1.11759 + 5.24409i −0.0467288 + 0.219267i
\(573\) −34.4803 28.9459i −1.44043 1.20923i
\(574\) −21.9739 16.0276i −0.917173 0.668977i
\(575\) −1.80388 1.04147i −0.0752270 0.0434323i
\(576\) −2.81861 1.02735i −0.117442 0.0428064i
\(577\) 5.28817 + 3.05312i 0.220149 + 0.127103i 0.606019 0.795450i \(-0.292765\pi\)
−0.385870 + 0.922553i \(0.626099\pi\)
\(578\) 9.89742i 0.411678i
\(579\) 7.14886 + 19.6554i 0.297097 + 0.816849i
\(580\) 2.03491i 0.0844949i
\(581\) −22.0196 2.35580i −0.913527 0.0977352i
\(582\) 2.14517 + 5.89801i 0.0889200 + 0.244480i
\(583\) −5.56119 −0.230321
\(584\) −3.48176 + 6.03059i −0.144076 + 0.249548i
\(585\) 39.0526 + 24.4567i 1.61463 + 1.01116i
\(586\) 9.27029 5.35220i 0.382952 0.221098i
\(587\) 1.08728 1.88323i 0.0448769 0.0777291i −0.842714 0.538361i \(-0.819044\pi\)
0.887591 + 0.460632i \(0.152377\pi\)
\(588\) 11.2235 + 4.58626i 0.462848 + 0.189134i
\(589\) −7.22658 12.5168i −0.297766 0.515746i
\(590\) −17.6629 + 10.1977i −0.727171 + 0.419832i
\(591\) −3.10298 2.60492i −0.127639 0.107152i
\(592\) −10.4771 −0.430605
\(593\) 0.707096 + 1.22473i 0.0290370 + 0.0502935i 0.880179 0.474642i \(-0.157423\pi\)
−0.851142 + 0.524936i \(0.824089\pi\)
\(594\) −0.00531643 + 7.72726i −0.000218136 + 0.317053i
\(595\) 12.1662 + 27.4633i 0.498767 + 1.12588i
\(596\) 7.27861 + 4.20231i 0.298144 + 0.172133i
\(597\) −3.21914 + 18.2322i −0.131751 + 0.746195i
\(598\) 0.382455 0.424304i 0.0156397 0.0173511i
\(599\) 13.9159 + 8.03436i 0.568589 + 0.328275i 0.756586 0.653894i \(-0.226866\pi\)
−0.187996 + 0.982170i \(0.560199\pi\)
\(600\) −17.4408 14.6414i −0.712020 0.597734i
\(601\) 26.6115 + 15.3641i 1.08550 + 0.626716i 0.932376 0.361490i \(-0.117732\pi\)
0.153128 + 0.988206i \(0.451065\pi\)
\(602\) −19.3593 + 8.57617i −0.789026 + 0.349538i
\(603\) 1.69848 + 9.65847i 0.0691675 + 0.393323i
\(604\) −11.2766 + 19.5317i −0.458839 + 0.794733i
\(605\) 37.4387 1.52210
\(606\) 7.84414 2.85299i 0.318646 0.115895i
\(607\) −28.1452 16.2496i −1.14238 0.659552i −0.195360 0.980732i \(-0.562587\pi\)
−0.947018 + 0.321180i \(0.895921\pi\)
\(608\) 2.05432 3.55819i 0.0833137 0.144304i
\(609\) −1.51732 1.57782i −0.0614849 0.0639365i
\(610\) 11.2474 0.455393
\(611\) 16.0192 + 3.41391i 0.648066 + 0.138112i
\(612\) 7.51178 + 2.73797i 0.303646 + 0.110676i
\(613\) 4.35349 + 7.54046i 0.175836 + 0.304556i 0.940450 0.339932i \(-0.110404\pi\)
−0.764614 + 0.644488i \(0.777071\pi\)
\(614\) −4.04677 −0.163314
\(615\) −74.6947 13.1884i −3.01198 0.531806i
\(616\) 1.59362 + 3.59734i 0.0642089 + 0.144941i
\(617\) −29.1565 + 16.8335i −1.17380 + 0.677691i −0.954571 0.297983i \(-0.903686\pi\)
−0.219225 + 0.975674i \(0.570353\pi\)
\(618\) −1.47203 4.04726i −0.0592137 0.162804i
\(619\) −15.4503 8.92024i −0.621001 0.358535i 0.156258 0.987716i \(-0.450057\pi\)
−0.777259 + 0.629181i \(0.783390\pi\)
\(620\) 14.9855i 0.601831i
\(621\) 0.412107 0.712657i 0.0165373 0.0285979i
\(622\) −14.1981 8.19728i −0.569292 0.328681i
\(623\) 31.2805 + 3.34660i 1.25323 + 0.134079i
\(624\) 4.92406 3.84105i 0.197120 0.153765i
\(625\) −41.0575 71.1137i −1.64230 2.84455i
\(626\) 9.88433 + 17.1202i 0.395057 + 0.684260i
\(627\) −10.4217 1.84008i −0.416201 0.0734858i
\(628\) −14.0883 8.13386i −0.562183 0.324576i
\(629\) 27.9221 1.11333
\(630\) 33.7354 2.28037i 1.34405 0.0908522i
\(631\) −16.4881 28.5582i −0.656380 1.13688i −0.981546 0.191227i \(-0.938753\pi\)
0.325166 0.945657i \(-0.394580\pi\)
\(632\) −14.2122 + 8.20543i −0.565332 + 0.326394i
\(633\) −4.95750 + 5.90537i −0.197043 + 0.234717i
\(634\) −4.03309 6.98551i −0.160174 0.277430i
\(635\) −24.3406 −0.965928
\(636\) 4.96084 + 4.16457i 0.196710 + 0.165136i
\(637\) −20.4816 + 14.7480i −0.811511 + 0.584337i
\(638\) 0.710366i 0.0281237i
\(639\) −26.2795 + 4.62136i −1.03960 + 0.182818i
\(640\) −3.68924 + 2.12998i −0.145830 + 0.0841949i
\(641\) 16.1872i 0.639356i 0.947526 + 0.319678i \(0.103575\pi\)
−0.947526 + 0.319678i \(0.896425\pi\)
\(642\) −15.6891 2.77013i −0.619201 0.109328i
\(643\) 31.2120 18.0203i 1.23088 0.710650i 0.263668 0.964613i \(-0.415068\pi\)
0.967214 + 0.253963i \(0.0817342\pi\)
\(644\) 0.0445910 0.416791i 0.00175713 0.0164239i
\(645\) −37.9668 + 45.2260i −1.49494 + 1.78077i
\(646\) −5.47490 + 9.48281i −0.215407 + 0.373096i
\(647\) −5.58047 9.66565i −0.219391 0.379996i 0.735231 0.677817i \(-0.237074\pi\)
−0.954622 + 0.297821i \(0.903740\pi\)
\(648\) 5.79141 6.88909i 0.227508 0.270629i
\(649\) 6.16595 3.55991i 0.242035 0.139739i
\(650\) 45.0910 14.6244i 1.76861 0.573615i
\(651\) −11.1739 11.6194i −0.437938 0.455400i
\(652\) −3.49025 + 6.04529i −0.136689 + 0.236752i
\(653\) 29.9947i 1.17378i 0.809666 + 0.586892i \(0.199649\pi\)
−0.809666 + 0.586892i \(0.800351\pi\)
\(654\) −8.93698 7.50251i −0.349464 0.293371i
\(655\) −31.9265 + 55.2982i −1.24747 + 2.16068i
\(656\) −5.13995 + 8.90266i −0.200681 + 0.347591i
\(657\) −13.4209 16.0093i −0.523598 0.624581i
\(658\) 10.9888 4.86805i 0.428389 0.189777i
\(659\) 10.5441 6.08763i 0.410739 0.237141i −0.280368 0.959893i \(-0.590456\pi\)
0.691107 + 0.722752i \(0.257123\pi\)
\(660\) 8.40389 + 7.05499i 0.327121 + 0.274615i
\(661\) −22.6422 + 13.0725i −0.880678 + 0.508460i −0.870882 0.491492i \(-0.836452\pi\)
−0.00979596 + 0.999952i \(0.503118\pi\)
\(662\) −15.9509 9.20927i −0.619951 0.357929i
\(663\) −13.1229 + 10.2367i −0.509653 + 0.397559i
\(664\) 8.37013i 0.324824i
\(665\) −4.92619 + 46.0450i −0.191030 + 1.78555i
\(666\) 10.7637 29.5308i 0.417084 1.14429i
\(667\) −0.0378398 + 0.0655405i −0.00146516 + 0.00253774i
\(668\) 4.12054 7.13698i 0.159428 0.276138i
\(669\) 5.85409 + 4.91445i 0.226332 + 0.190004i
\(670\) 12.0597 + 6.96268i 0.465907 + 0.268992i
\(671\) −3.92635 −0.151575
\(672\) 1.27234 4.40240i 0.0490814 0.169826i
\(673\) −10.0870 + 17.4712i −0.388825 + 0.673464i −0.992292 0.123924i \(-0.960452\pi\)
0.603467 + 0.797388i \(0.293785\pi\)
\(674\) 16.8561i 0.649271i
\(675\) 59.1863 34.1170i 2.27808 1.31316i
\(676\) 1.34508 + 12.9302i 0.0517338 + 0.497316i
\(677\) −0.365307 0.632731i −0.0140399 0.0243178i 0.858920 0.512110i \(-0.171136\pi\)
−0.872960 + 0.487792i \(0.837803\pi\)
\(678\) 10.1140 + 27.8079i 0.388427 + 1.06796i
\(679\) −8.76518 + 3.88298i −0.336377 + 0.149015i
\(680\) 9.83207 5.67655i 0.377043 0.217686i
\(681\) 33.5125 + 5.91709i 1.28420 + 0.226743i
\(682\) 5.23128i 0.200316i
\(683\) 8.23447i 0.315083i −0.987512 0.157542i \(-0.949643\pi\)
0.987512 0.157542i \(-0.0503569\pi\)
\(684\) 7.91862 + 9.44584i 0.302776 + 0.361171i
\(685\) −39.3530 + 22.7205i −1.50360 + 0.868105i
\(686\) −5.82135 + 17.5816i −0.222260 + 0.671268i
\(687\) 20.7733 7.55547i 0.792551 0.288259i
\(688\) 4.00148 + 6.93077i 0.152555 + 0.264233i
\(689\) −12.8256 + 4.15972i −0.488616 + 0.158473i
\(690\) −0.399563 1.09857i −0.0152111 0.0418220i
\(691\) 29.9099i 1.13783i −0.822397 0.568914i \(-0.807364\pi\)
0.822397 0.568914i \(-0.192636\pi\)
\(692\) 7.88311 13.6540i 0.299671 0.519045i
\(693\) −11.7767 + 0.796055i −0.447360 + 0.0302396i
\(694\) −15.6755 −0.595035
\(695\) −40.7820 23.5455i −1.54695 0.893132i
\(696\) −0.531968 + 0.633679i −0.0201642 + 0.0240195i
\(697\) 13.6983 23.7262i 0.518861 0.898694i
\(698\) −9.42880 + 16.3312i −0.356885 + 0.618144i
\(699\) 35.7654 13.0082i 1.35277 0.492017i
\(700\) 20.4982 28.1031i 0.774757 1.06220i
\(701\) 11.4510i 0.432498i 0.976338 + 0.216249i \(0.0693824\pi\)
−0.976338 + 0.216249i \(0.930618\pi\)
\(702\) 5.76767 + 17.8251i 0.217686 + 0.672765i
\(703\) 37.2794 + 21.5233i 1.40602 + 0.811767i
\(704\) 1.28788 0.743556i 0.0485387 0.0280238i
\(705\) 21.5509 25.6714i 0.811655 0.966843i
\(706\) 15.9414 9.20379i 0.599964 0.346389i
\(707\) 5.16422 + 11.6574i 0.194220 + 0.438421i
\(708\) −8.16620 1.44185i −0.306905 0.0541882i
\(709\) −8.51576 + 14.7497i −0.319816 + 0.553938i −0.980449 0.196771i \(-0.936954\pi\)
0.660633 + 0.750709i \(0.270288\pi\)
\(710\) −18.9446 + 32.8130i −0.710978 + 1.23145i
\(711\) −8.52691 48.4885i −0.319784 1.81846i
\(712\) 11.8904i 0.445612i
\(713\) −0.278660 + 0.482654i −0.0104359 + 0.0180755i
\(714\) −3.39086 + 11.7327i −0.126900 + 0.439085i
\(715\) −21.7272 + 7.04677i −0.812549 + 0.263534i
\(716\) 6.51608 3.76206i 0.243517 0.140595i
\(717\) −5.40478 + 30.6110i −0.201845 + 1.14319i
\(718\) 16.8719 + 29.2230i 0.629654 + 1.09059i
\(719\) 8.48150 14.6904i 0.316306 0.547859i −0.663408 0.748258i \(-0.730891\pi\)
0.979714 + 0.200399i \(0.0642239\pi\)
\(720\) −2.21343 12.5868i −0.0824898 0.469081i
\(721\) 6.01473 2.66453i 0.224000 0.0992321i
\(722\) 1.83515 1.05953i 0.0682973 0.0394315i
\(723\) 4.94878 28.0283i 0.184047 1.04238i
\(724\) 3.30682i 0.122897i
\(725\) −5.43883 + 3.14011i −0.201993 + 0.116621i
\(726\) 11.6586 + 9.78727i 0.432691 + 0.363240i
\(727\) 35.4828i 1.31598i 0.753025 + 0.657992i \(0.228594\pi\)
−0.753025 + 0.657992i \(0.771406\pi\)
\(728\) 6.36610 + 7.10442i 0.235944 + 0.263307i
\(729\) 13.4678 + 23.4012i 0.498808 + 0.866713i
\(730\) −29.6644 −1.09793
\(731\) −10.6642 18.4710i −0.394431 0.683174i
\(732\) 3.50248 + 2.94030i 0.129455 + 0.108677i
\(733\) 7.97236 4.60284i 0.294466 0.170010i −0.345488 0.938423i \(-0.612287\pi\)
0.639954 + 0.768413i \(0.278953\pi\)
\(734\) −17.0227 29.4842i −0.628320 1.08828i
\(735\) 6.98600 + 51.1747i 0.257682 + 1.88761i
\(736\) −0.158431 −0.00583985
\(737\) −4.20993 2.43060i −0.155075 0.0895324i
\(738\) −19.8126 23.6337i −0.729310 0.869968i
\(739\) 17.8808 + 30.9704i 0.657754 + 1.13926i 0.981196 + 0.193016i \(0.0618269\pi\)
−0.323441 + 0.946248i \(0.604840\pi\)
\(740\) −22.3160 38.6524i −0.820353 1.42089i
\(741\) −25.4115 + 3.55159i −0.933514 + 0.130471i
\(742\) −5.83045 + 7.99359i −0.214043 + 0.293454i
\(743\) −3.57295 2.06284i −0.131079 0.0756783i 0.433027 0.901381i \(-0.357446\pi\)
−0.564106 + 0.825703i \(0.690779\pi\)
\(744\) −3.91752 + 4.66655i −0.143623 + 0.171084i
\(745\) 35.8034i 1.31173i
\(746\) −26.7171 15.4251i −0.978182 0.564754i
\(747\) −23.5921 8.59908i −0.863190 0.314624i
\(748\) −3.43228 + 1.98163i −0.125496 + 0.0724554i
\(749\) 2.58888 24.1982i 0.0945956 0.884181i
\(750\) 10.4524 59.1990i 0.381667 2.16164i
\(751\) −28.8707 −1.05351 −0.526753 0.850018i \(-0.676591\pi\)
−0.526753 + 0.850018i \(0.676591\pi\)
\(752\) −2.27135 3.93409i −0.0828275 0.143461i
\(753\) 6.63705 + 18.2482i 0.241868 + 0.665000i
\(754\) −0.531348 1.63829i −0.0193505 0.0596631i
\(755\) −96.0761 −3.49657
\(756\) 11.1015 + 8.10904i 0.403758 + 0.294923i
\(757\) 17.6464 30.5645i 0.641371 1.11089i −0.343756 0.939059i \(-0.611699\pi\)
0.985127 0.171828i \(-0.0549673\pi\)
\(758\) 5.39979 + 3.11757i 0.196129 + 0.113235i
\(759\) 0.139483 + 0.383501i 0.00506293 + 0.0139202i
\(760\) 17.5027 0.634889
\(761\) −15.5145 + 26.8720i −0.562402 + 0.974108i 0.434885 + 0.900486i \(0.356789\pi\)
−0.997286 + 0.0736221i \(0.976544\pi\)
\(762\) −7.57978 6.36315i −0.274586 0.230513i
\(763\) 10.5036 14.4005i 0.380256 0.521334i
\(764\) −22.5097 12.9960i −0.814374 0.470179i
\(765\) 5.89895 + 33.5445i 0.213277 + 1.21281i
\(766\) −4.72231 2.72642i −0.170624 0.0985097i
\(767\) 11.5575 12.8222i 0.417319 0.462982i
\(768\) −1.70567 0.301159i −0.0615480 0.0108671i
\(769\) −23.8845 13.7897i −0.861297 0.497270i 0.00314940 0.999995i \(-0.498998\pi\)
−0.864446 + 0.502725i \(0.832331\pi\)
\(770\) −9.87706 + 13.5415i −0.355945 + 0.488003i
\(771\) 4.20849 + 0.743065i 0.151565 + 0.0267608i
\(772\) 6.03765 + 10.4575i 0.217300 + 0.376375i
\(773\) 0.713668 0.0256689 0.0128344 0.999918i \(-0.495915\pi\)
0.0128344 + 0.999918i \(0.495915\pi\)
\(774\) −23.6461 + 4.15826i −0.849940 + 0.149465i
\(775\) −40.0527