Properties

Label 273.2.r.b.68.2
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.2
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.31

$q$-expansion

\(f(q)\) \(=\) \(q-2.60090i q^{2} +(0.206727 - 1.71967i) q^{3} -4.76468 q^{4} +(1.54658 - 2.67876i) q^{5} +(-4.47269 - 0.537676i) q^{6} +(1.09877 + 2.40680i) q^{7} +7.19066i q^{8} +(-2.91453 - 0.711004i) q^{9} +O(q^{10})\) \(q-2.60090i q^{2} +(0.206727 - 1.71967i) q^{3} -4.76468 q^{4} +(1.54658 - 2.67876i) q^{5} +(-4.47269 - 0.537676i) q^{6} +(1.09877 + 2.40680i) q^{7} +7.19066i q^{8} +(-2.91453 - 0.711004i) q^{9} +(-6.96719 - 4.02251i) q^{10} +(-2.83459 - 1.63655i) q^{11} +(-0.984988 + 8.19368i) q^{12} +(3.57248 + 0.487210i) q^{13} +(6.25985 - 2.85780i) q^{14} +(-4.28686 - 3.21338i) q^{15} +9.17282 q^{16} +3.84439 q^{17} +(-1.84925 + 7.58040i) q^{18} +(2.16087 - 1.24758i) q^{19} +(-7.36897 + 12.7634i) q^{20} +(4.36605 - 1.39198i) q^{21} +(-4.25650 + 7.37248i) q^{22} +3.41565i q^{23} +(12.3656 + 1.48650i) q^{24} +(-2.28384 - 3.95572i) q^{25} +(1.26718 - 9.29167i) q^{26} +(-1.82520 + 4.86504i) q^{27} +(-5.23531 - 11.4676i) q^{28} +(3.85237 - 2.22417i) q^{29} +(-8.35769 + 11.1497i) q^{30} +(-5.89349 + 3.40261i) q^{31} -9.47627i q^{32} +(-3.40031 + 4.53623i) q^{33} -9.99886i q^{34} +(8.14659 + 0.778966i) q^{35} +(13.8868 + 3.38771i) q^{36} +1.96384 q^{37} +(-3.24483 - 5.62021i) q^{38} +(1.57637 - 6.04277i) q^{39} +(19.2620 + 11.1209i) q^{40} +(-4.81925 - 8.34719i) q^{41} +(-3.62039 - 11.3557i) q^{42} +(3.70565 - 6.41837i) q^{43} +(13.5059 + 7.79764i) q^{44} +(-6.41217 + 6.70769i) q^{45} +8.88377 q^{46} +(-1.63297 + 2.82838i) q^{47} +(1.89627 - 15.7742i) q^{48} +(-4.58539 + 5.28906i) q^{49} +(-10.2884 + 5.94003i) q^{50} +(0.794738 - 6.61107i) q^{51} +(-17.0217 - 2.32140i) q^{52} +(-3.67124 + 2.11959i) q^{53} +(12.6535 + 4.74717i) q^{54} +(-8.76785 + 5.06212i) q^{55} +(-17.3065 + 7.90091i) q^{56} +(-1.69871 - 3.97389i) q^{57} +(-5.78483 - 10.0196i) q^{58} +2.39655 q^{59} +(20.4255 + 15.3107i) q^{60} +(-8.03139 + 4.63693i) q^{61} +(8.84984 + 15.3284i) q^{62} +(-1.49116 - 7.79592i) q^{63} -6.30118 q^{64} +(6.83026 - 8.81631i) q^{65} +(11.7983 + 8.84387i) q^{66} +(4.88111 - 8.45433i) q^{67} -18.3173 q^{68} +(5.87379 + 0.706107i) q^{69} +(2.02601 - 21.1885i) q^{70} +(3.88678 + 2.24403i) q^{71} +(5.11259 - 20.9574i) q^{72} +(3.06234 - 1.76804i) q^{73} -5.10776i q^{74} +(-7.27467 + 3.10969i) q^{75} +(-10.2959 + 5.94432i) q^{76} +(0.824280 - 8.62049i) q^{77} +(-15.7166 - 4.09998i) q^{78} +(-3.24801 + 5.62572i) q^{79} +(14.1865 - 24.5718i) q^{80} +(7.98895 + 4.14448i) q^{81} +(-21.7102 + 12.5344i) q^{82} -3.84139 q^{83} +(-20.8028 + 6.63233i) q^{84} +(5.94566 - 10.2982i) q^{85} +(-16.6935 - 9.63802i) q^{86} +(-3.02844 - 7.08460i) q^{87} +(11.7679 - 20.3825i) q^{88} +7.17132 q^{89} +(17.4460 + 16.6774i) q^{90} +(2.75273 + 9.13359i) q^{91} -16.2745i q^{92} +(4.63302 + 10.8383i) q^{93} +(7.35633 + 4.24718i) q^{94} -7.71794i q^{95} +(-16.2960 - 1.95900i) q^{96} +(10.4630 + 6.04083i) q^{97} +(13.7563 + 11.9261i) q^{98} +(7.09789 + 6.78517i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.60090i 1.83911i −0.392957 0.919557i \(-0.628548\pi\)
0.392957 0.919557i \(-0.371452\pi\)
\(3\) 0.206727 1.71967i 0.119354 0.992852i
\(4\) −4.76468 −2.38234
\(5\) 1.54658 2.67876i 0.691653 1.19798i −0.279643 0.960104i \(-0.590216\pi\)
0.971296 0.237874i \(-0.0764505\pi\)
\(6\) −4.47269 0.537676i −1.82597 0.219505i
\(7\) 1.09877 + 2.40680i 0.415298 + 0.909686i
\(8\) 7.19066i 2.54228i
\(9\) −2.91453 0.711004i −0.971509 0.237001i
\(10\) −6.96719 4.02251i −2.20322 1.27203i
\(11\) −2.83459 1.63655i −0.854660 0.493438i 0.00756034 0.999971i \(-0.497593\pi\)
−0.862220 + 0.506533i \(0.830927\pi\)
\(12\) −0.984988 + 8.19368i −0.284341 + 2.36531i
\(13\) 3.57248 + 0.487210i 0.990828 + 0.135128i
\(14\) 6.25985 2.85780i 1.67302 0.763780i
\(15\) −4.28686 3.21338i −1.10686 0.829692i
\(16\) 9.17282 2.29320
\(17\) 3.84439 0.932400 0.466200 0.884679i \(-0.345623\pi\)
0.466200 + 0.884679i \(0.345623\pi\)
\(18\) −1.84925 + 7.58040i −0.435873 + 1.78672i
\(19\) 2.16087 1.24758i 0.495738 0.286214i −0.231214 0.972903i \(-0.574270\pi\)
0.726952 + 0.686689i \(0.240936\pi\)
\(20\) −7.36897 + 12.7634i −1.64775 + 2.85399i
\(21\) 4.36605 1.39198i 0.952750 0.303754i
\(22\) −4.25650 + 7.37248i −0.907489 + 1.57182i
\(23\) 3.41565i 0.712212i 0.934445 + 0.356106i \(0.115896\pi\)
−0.934445 + 0.356106i \(0.884104\pi\)
\(24\) 12.3656 + 1.48650i 2.52411 + 0.303431i
\(25\) −2.28384 3.95572i −0.456768 0.791145i
\(26\) 1.26718 9.29167i 0.248515 1.82225i
\(27\) −1.82520 + 4.86504i −0.351261 + 0.936278i
\(28\) −5.23531 11.4676i −0.989380 2.16718i
\(29\) 3.85237 2.22417i 0.715367 0.413017i −0.0976782 0.995218i \(-0.531142\pi\)
0.813045 + 0.582201i \(0.197808\pi\)
\(30\) −8.35769 + 11.1497i −1.52590 + 2.03565i
\(31\) −5.89349 + 3.40261i −1.05850 + 0.611126i −0.925017 0.379925i \(-0.875950\pi\)
−0.133484 + 0.991051i \(0.542617\pi\)
\(32\) 9.47627i 1.67518i
\(33\) −3.40031 + 4.53623i −0.591918 + 0.789657i
\(34\) 9.99886i 1.71479i
\(35\) 8.14659 + 0.778966i 1.37703 + 0.131669i
\(36\) 13.8868 + 3.38771i 2.31447 + 0.564618i
\(37\) 1.96384 0.322854 0.161427 0.986885i \(-0.448390\pi\)
0.161427 + 0.986885i \(0.448390\pi\)
\(38\) −3.24483 5.62021i −0.526381 0.911718i
\(39\) 1.57637 6.04277i 0.252421 0.967618i
\(40\) 19.2620 + 11.1209i 3.04560 + 1.75838i
\(41\) −4.81925 8.34719i −0.752641 1.30361i −0.946539 0.322590i \(-0.895446\pi\)
0.193898 0.981022i \(-0.437887\pi\)
\(42\) −3.62039 11.3557i −0.558639 1.75222i
\(43\) 3.70565 6.41837i 0.565106 0.978793i −0.431933 0.901905i \(-0.642168\pi\)
0.997040 0.0768874i \(-0.0244982\pi\)
\(44\) 13.5059 + 7.79764i 2.03609 + 1.17554i
\(45\) −6.41217 + 6.70769i −0.955870 + 0.999924i
\(46\) 8.88377 1.30984
\(47\) −1.63297 + 2.82838i −0.238192 + 0.412561i −0.960196 0.279328i \(-0.909888\pi\)
0.722003 + 0.691890i \(0.243222\pi\)
\(48\) 1.89627 15.7742i 0.273703 2.27681i
\(49\) −4.58539 + 5.28906i −0.655056 + 0.755580i
\(50\) −10.2884 + 5.94003i −1.45501 + 0.840048i
\(51\) 0.794738 6.61107i 0.111286 0.925735i
\(52\) −17.0217 2.32140i −2.36049 0.321920i
\(53\) −3.67124 + 2.11959i −0.504283 + 0.291148i −0.730481 0.682933i \(-0.760704\pi\)
0.226197 + 0.974082i \(0.427371\pi\)
\(54\) 12.6535 + 4.74717i 1.72192 + 0.646008i
\(55\) −8.76785 + 5.06212i −1.18226 + 0.682576i
\(56\) −17.3065 + 7.90091i −2.31268 + 1.05580i
\(57\) −1.69871 3.97389i −0.225000 0.526355i
\(58\) −5.78483 10.0196i −0.759586 1.31564i
\(59\) 2.39655 0.312004 0.156002 0.987757i \(-0.450139\pi\)
0.156002 + 0.987757i \(0.450139\pi\)
\(60\) 20.4255 + 15.3107i 2.63692 + 1.97661i
\(61\) −8.03139 + 4.63693i −1.02831 + 0.593698i −0.916501 0.400032i \(-0.868999\pi\)
−0.111813 + 0.993729i \(0.535666\pi\)
\(62\) 8.84984 + 15.3284i 1.12393 + 1.94671i
\(63\) −1.49116 7.79592i −0.187869 0.982194i
\(64\) −6.30118 −0.787648
\(65\) 6.83026 8.81631i 0.847189 1.09353i
\(66\) 11.7983 + 8.84387i 1.45227 + 1.08860i
\(67\) 4.88111 8.45433i 0.596322 1.03286i −0.397036 0.917803i \(-0.629961\pi\)
0.993359 0.115058i \(-0.0367053\pi\)
\(68\) −18.3173 −2.22129
\(69\) 5.87379 + 0.706107i 0.707121 + 0.0850053i
\(70\) 2.02601 21.1885i 0.242155 2.53251i
\(71\) 3.88678 + 2.24403i 0.461275 + 0.266317i 0.712580 0.701590i \(-0.247526\pi\)
−0.251305 + 0.967908i \(0.580860\pi\)
\(72\) 5.11259 20.9574i 0.602524 2.46985i
\(73\) 3.06234 1.76804i 0.358420 0.206934i −0.309967 0.950747i \(-0.600318\pi\)
0.668388 + 0.743813i \(0.266985\pi\)
\(74\) 5.10776i 0.593765i
\(75\) −7.27467 + 3.10969i −0.840006 + 0.359076i
\(76\) −10.2959 + 5.94432i −1.18102 + 0.681860i
\(77\) 0.824280 8.62049i 0.0939354 0.982396i
\(78\) −15.7166 4.09998i −1.77956 0.464231i
\(79\) −3.24801 + 5.62572i −0.365430 + 0.632943i −0.988845 0.148948i \(-0.952411\pi\)
0.623415 + 0.781891i \(0.285745\pi\)
\(80\) 14.1865 24.5718i 1.58610 2.74721i
\(81\) 7.98895 + 4.14448i 0.887661 + 0.460498i
\(82\) −21.7102 + 12.5344i −2.39749 + 1.38419i
\(83\) −3.84139 −0.421647 −0.210824 0.977524i \(-0.567615\pi\)
−0.210824 + 0.977524i \(0.567615\pi\)
\(84\) −20.8028 + 6.63233i −2.26978 + 0.723646i
\(85\) 5.94566 10.2982i 0.644897 1.11700i
\(86\) −16.6935 9.63802i −1.80011 1.03929i
\(87\) −3.02844 7.08460i −0.324683 0.759548i
\(88\) 11.7679 20.3825i 1.25446 2.17279i
\(89\) 7.17132 0.760159 0.380079 0.924954i \(-0.375897\pi\)
0.380079 + 0.924954i \(0.375897\pi\)
\(90\) 17.4460 + 16.6774i 1.83897 + 1.75795i
\(91\) 2.75273 + 9.13359i 0.288565 + 0.957460i
\(92\) 16.2745i 1.69673i
\(93\) 4.63302 + 10.8383i 0.480422 + 1.12388i
\(94\) 7.35633 + 4.24718i 0.758748 + 0.438063i
\(95\) 7.71794i 0.791844i
\(96\) −16.2960 1.95900i −1.66321 0.199940i
\(97\) 10.4630 + 6.04083i 1.06236 + 0.613353i 0.926084 0.377318i \(-0.123154\pi\)
0.136275 + 0.990671i \(0.456487\pi\)
\(98\) 13.7563 + 11.9261i 1.38960 + 1.20472i
\(99\) 7.09789 + 6.78517i 0.713365 + 0.681936i
\(100\) 10.8818 + 18.8478i 1.08818 + 1.88478i
\(101\) 1.01198 1.75279i 0.100695 0.174409i −0.811276 0.584663i \(-0.801227\pi\)
0.911971 + 0.410254i \(0.134560\pi\)
\(102\) −17.1947 2.06703i −1.70253 0.204667i
\(103\) −2.67408 1.54388i −0.263485 0.152123i 0.362438 0.932008i \(-0.381944\pi\)
−0.625923 + 0.779885i \(0.715278\pi\)
\(104\) −3.50336 + 25.6885i −0.343533 + 2.51896i
\(105\) 3.02368 13.8484i 0.295081 1.35147i
\(106\) 5.51284 + 9.54853i 0.535455 + 0.927435i
\(107\) 9.03028i 0.872990i 0.899707 + 0.436495i \(0.143780\pi\)
−0.899707 + 0.436495i \(0.856220\pi\)
\(108\) 8.69651 23.1804i 0.836822 2.23053i
\(109\) 7.11124 + 12.3170i 0.681133 + 1.17976i 0.974635 + 0.223799i \(0.0718458\pi\)
−0.293502 + 0.955958i \(0.594821\pi\)
\(110\) 13.1661 + 22.8043i 1.25534 + 2.17430i
\(111\) 0.405980 3.37716i 0.0385339 0.320546i
\(112\) 10.0789 + 22.0772i 0.952362 + 2.08609i
\(113\) −7.81695 4.51312i −0.735357 0.424558i 0.0850218 0.996379i \(-0.472904\pi\)
−0.820379 + 0.571821i \(0.806237\pi\)
\(114\) −10.3357 + 4.41819i −0.968027 + 0.413801i
\(115\) 9.14971 + 5.28259i 0.853215 + 0.492604i
\(116\) −18.3553 + 10.5974i −1.70425 + 0.983947i
\(117\) −10.0657 3.96004i −0.930573 0.366106i
\(118\) 6.23319i 0.573812i
\(119\) 4.22411 + 9.25267i 0.387224 + 0.848191i
\(120\) 23.1063 30.8254i 2.10931 2.81396i
\(121\) −0.143411 0.248395i −0.0130374 0.0225814i
\(122\) 12.0602 + 20.8888i 1.09188 + 1.89119i
\(123\) −15.3507 + 6.56193i −1.38412 + 0.591670i
\(124\) 28.0806 16.2123i 2.52171 1.45591i
\(125\) 1.33725 0.119607
\(126\) −20.2764 + 3.87836i −1.80637 + 0.345512i
\(127\) 8.47423 + 14.6778i 0.751967 + 1.30244i 0.946868 + 0.321622i \(0.104228\pi\)
−0.194902 + 0.980823i \(0.562439\pi\)
\(128\) 2.56378i 0.226608i
\(129\) −10.2714 7.69935i −0.904349 0.677890i
\(130\) −22.9303 17.7648i −2.01112 1.55808i
\(131\) −4.00613 + 6.93882i −0.350017 + 0.606247i −0.986252 0.165248i \(-0.947158\pi\)
0.636235 + 0.771495i \(0.280491\pi\)
\(132\) 16.2014 21.6137i 1.41015 1.88123i
\(133\) 5.37699 + 3.82998i 0.466244 + 0.332101i
\(134\) −21.9889 12.6953i −1.89955 1.09670i
\(135\) 10.2095 + 12.4135i 0.878690 + 1.06838i
\(136\) 27.6437i 2.37042i
\(137\) 19.6525i 1.67902i −0.543340 0.839512i \(-0.682841\pi\)
0.543340 0.839512i \(-0.317159\pi\)
\(138\) 1.83651 15.2771i 0.156334 1.30048i
\(139\) 10.6633 + 6.15648i 0.904452 + 0.522186i 0.878642 0.477481i \(-0.158450\pi\)
0.0258103 + 0.999667i \(0.491783\pi\)
\(140\) −38.8159 3.71153i −3.28054 0.313681i
\(141\) 4.52630 + 3.39286i 0.381183 + 0.285731i
\(142\) 5.83650 10.1091i 0.489788 0.848338i
\(143\) −9.32917 7.22758i −0.780144 0.604401i
\(144\) −26.7344 6.52191i −2.22787 0.543493i
\(145\) 13.7594i 1.14266i
\(146\) −4.59851 7.96485i −0.380575 0.659176i
\(147\) 8.14752 + 8.97875i 0.671996 + 0.740555i
\(148\) −9.35709 −0.769148
\(149\) 5.98319 3.45440i 0.490162 0.282995i −0.234480 0.972121i \(-0.575339\pi\)
0.724642 + 0.689126i \(0.242005\pi\)
\(150\) 8.08800 + 18.9207i 0.660382 + 1.54487i
\(151\) −8.07245 13.9819i −0.656927 1.13783i −0.981407 0.191938i \(-0.938523\pi\)
0.324480 0.945892i \(-0.394811\pi\)
\(152\) 8.97092 + 15.5381i 0.727637 + 1.26030i
\(153\) −11.2046 2.73337i −0.905836 0.220980i
\(154\) −22.4210 2.14387i −1.80674 0.172758i
\(155\) 21.0497i 1.69075i
\(156\) −7.51089 + 28.7919i −0.601353 + 2.30519i
\(157\) 0.0700969 0.0404705i 0.00559434 0.00322989i −0.497200 0.867636i \(-0.665639\pi\)
0.502795 + 0.864406i \(0.332305\pi\)
\(158\) 14.6319 + 8.44775i 1.16405 + 0.672067i
\(159\) 2.88605 + 6.75150i 0.228879 + 0.535428i
\(160\) −25.3846 14.6558i −2.00683 1.15865i
\(161\) −8.22080 + 3.75303i −0.647889 + 0.295780i
\(162\) 10.7794 20.7784i 0.846909 1.63251i
\(163\) 2.43617 + 4.21957i 0.190816 + 0.330503i 0.945521 0.325562i \(-0.105553\pi\)
−0.754705 + 0.656064i \(0.772220\pi\)
\(164\) 22.9622 + 39.7717i 1.79305 + 3.10565i
\(165\) 6.89262 + 16.1243i 0.536590 + 1.25527i
\(166\) 9.99106i 0.775457i
\(167\) 9.25269 + 16.0261i 0.715995 + 1.24014i 0.962575 + 0.271016i \(0.0873598\pi\)
−0.246580 + 0.969122i \(0.579307\pi\)
\(168\) 10.0092 + 31.3948i 0.772229 + 2.42216i
\(169\) 12.5253 + 3.48110i 0.963481 + 0.267777i
\(170\) −26.7846 15.4641i −2.05428 1.18604i
\(171\) −7.18495 + 2.09972i −0.549447 + 0.160569i
\(172\) −17.6562 + 30.5815i −1.34628 + 2.33182i
\(173\) 1.55570 + 2.69454i 0.118277 + 0.204862i 0.919085 0.394059i \(-0.128929\pi\)
−0.800808 + 0.598921i \(0.795596\pi\)
\(174\) −18.4263 + 7.87667i −1.39690 + 0.597129i
\(175\) 7.01122 9.84319i 0.529998 0.744075i
\(176\) −26.0011 15.0118i −1.95991 1.13155i
\(177\) 0.495432 4.12128i 0.0372389 0.309774i
\(178\) 18.6519i 1.39802i
\(179\) −4.47021 2.58088i −0.334119 0.192904i 0.323549 0.946211i \(-0.395124\pi\)
−0.657669 + 0.753307i \(0.728457\pi\)
\(180\) 30.5519 31.9600i 2.27721 2.38216i
\(181\) 6.02673i 0.447963i −0.974593 0.223982i \(-0.928094\pi\)
0.974593 0.223982i \(-0.0719056\pi\)
\(182\) 23.7556 7.15958i 1.76088 0.530704i
\(183\) 6.31368 + 14.7699i 0.466720 + 1.09182i
\(184\) −24.5608 −1.81064
\(185\) 3.03725 5.26067i 0.223303 0.386772i
\(186\) 28.1892 12.0500i 2.06694 0.883550i
\(187\) −10.8972 6.29153i −0.796885 0.460082i
\(188\) 7.78056 13.4763i 0.567456 0.982862i
\(189\) −13.7147 + 0.952678i −0.997596 + 0.0692971i
\(190\) −20.0736 −1.45629
\(191\) −9.84111 + 5.68177i −0.712078 + 0.411118i −0.811830 0.583894i \(-0.801528\pi\)
0.0997520 + 0.995012i \(0.468195\pi\)
\(192\) −1.30262 + 10.8360i −0.0940088 + 0.782018i
\(193\) −3.90115 + 6.75699i −0.280811 + 0.486379i −0.971585 0.236692i \(-0.923937\pi\)
0.690774 + 0.723071i \(0.257270\pi\)
\(194\) 15.7116 27.2133i 1.12803 1.95380i
\(195\) −13.7491 13.5684i −0.984597 0.971650i
\(196\) 21.8479 25.2007i 1.56057 1.80005i
\(197\) 19.0087 10.9747i 1.35431 0.781912i 0.365461 0.930826i \(-0.380911\pi\)
0.988850 + 0.148914i \(0.0475779\pi\)
\(198\) 17.6476 18.4609i 1.25416 1.31196i
\(199\) 22.5699i 1.59994i 0.600042 + 0.799969i \(0.295151\pi\)
−0.600042 + 0.799969i \(0.704849\pi\)
\(200\) 28.4442 16.4223i 2.01131 1.16123i
\(201\) −13.5296 10.1416i −0.954304 0.715336i
\(202\) −4.55884 2.63205i −0.320759 0.185190i
\(203\) 9.58601 + 6.82803i 0.672806 + 0.479234i
\(204\) −3.78667 + 31.4996i −0.265120 + 2.20542i
\(205\) −29.8135 −2.08226
\(206\) −4.01548 + 6.95501i −0.279772 + 0.484579i
\(207\) 2.42854 9.95501i 0.168795 0.691921i
\(208\) 32.7697 + 4.46909i 2.27217 + 0.309876i
\(209\) −8.16690 −0.564917
\(210\) −36.0183 7.86430i −2.48550 0.542688i
\(211\) −5.55596 9.62320i −0.382488 0.662488i 0.608929 0.793224i \(-0.291599\pi\)
−0.991417 + 0.130736i \(0.958266\pi\)
\(212\) 17.4923 10.0992i 1.20137 0.693614i
\(213\) 4.66249 6.22007i 0.319469 0.426192i
\(214\) 23.4869 1.60553
\(215\) −11.4622 19.8531i −0.781715 1.35397i
\(216\) −34.9828 13.1244i −2.38028 0.893003i
\(217\) −14.6650 10.4458i −0.995526 0.709105i
\(218\) 32.0353 18.4956i 2.16971 1.25268i
\(219\) −2.40738 5.63172i −0.162676 0.380556i
\(220\) 41.7760 24.1194i 2.81654 1.62613i
\(221\) 13.7340 + 1.87302i 0.923849 + 0.125993i
\(222\) −8.78367 1.05591i −0.589521 0.0708682i
\(223\) −11.7188 + 6.76583i −0.784747 + 0.453074i −0.838110 0.545501i \(-0.816339\pi\)
0.0533631 + 0.998575i \(0.483006\pi\)
\(224\) 22.8075 10.4123i 1.52389 0.695699i
\(225\) 3.84377 + 13.1529i 0.256252 + 0.876859i
\(226\) −11.7382 + 20.3311i −0.780811 + 1.35241i
\(227\) −14.6386 −0.971601 −0.485800 0.874070i \(-0.661472\pi\)
−0.485800 + 0.874070i \(0.661472\pi\)
\(228\) 8.09383 + 18.9343i 0.536027 + 1.25396i
\(229\) −4.05914 2.34354i −0.268235 0.154866i 0.359850 0.933010i \(-0.382828\pi\)
−0.628085 + 0.778144i \(0.716161\pi\)
\(230\) 13.7395 23.7975i 0.905955 1.56916i
\(231\) −14.6540 3.19958i −0.964162 0.210517i
\(232\) 15.9932 + 27.7011i 1.05001 + 1.81866i
\(233\) 7.23622 + 4.17783i 0.474061 + 0.273699i 0.717938 0.696107i \(-0.245086\pi\)
−0.243877 + 0.969806i \(0.578419\pi\)
\(234\) −10.2997 + 26.1799i −0.673310 + 1.71143i
\(235\) 5.05103 + 8.74865i 0.329493 + 0.570699i
\(236\) −11.4188 −0.743301
\(237\) 9.00293 + 6.74849i 0.584803 + 0.438362i
\(238\) 24.0653 10.9865i 1.55992 0.712148i
\(239\) 2.23895i 0.144826i 0.997375 + 0.0724128i \(0.0230699\pi\)
−0.997375 + 0.0724128i \(0.976930\pi\)
\(240\) −39.3226 29.4758i −2.53826 1.90265i
\(241\) 3.88159i 0.250035i −0.992155 0.125018i \(-0.960101\pi\)
0.992155 0.125018i \(-0.0398988\pi\)
\(242\) −0.646051 + 0.372998i −0.0415297 + 0.0239772i
\(243\) 8.77867 12.8816i 0.563152 0.826353i
\(244\) 38.2670 22.0935i 2.44979 1.41439i
\(245\) 7.07645 + 20.4631i 0.452098 + 1.30734i
\(246\) 17.0669 + 39.9256i 1.08815 + 2.54556i
\(247\) 8.32751 3.40416i 0.529867 0.216601i
\(248\) −24.4670 42.3781i −1.55365 2.69101i
\(249\) −0.794118 + 6.60592i −0.0503252 + 0.418633i
\(250\) 3.47805i 0.219971i
\(251\) −12.9969 + 22.5112i −0.820354 + 1.42089i 0.0850647 + 0.996375i \(0.472890\pi\)
−0.905419 + 0.424520i \(0.860443\pi\)
\(252\) 7.10491 + 37.1451i 0.447567 + 2.33992i
\(253\) 5.58988 9.68196i 0.351433 0.608700i
\(254\) 38.1755 22.0406i 2.39534 1.38295i
\(255\) −16.4804 12.3535i −1.03204 0.773605i
\(256\) −19.2705 −1.20441
\(257\) −13.0423 −0.813558 −0.406779 0.913527i \(-0.633348\pi\)
−0.406779 + 0.913527i \(0.633348\pi\)
\(258\) −20.0252 + 26.7150i −1.24672 + 1.66320i
\(259\) 2.15782 + 4.72659i 0.134081 + 0.293696i
\(260\) −32.5440 + 42.0069i −2.01829 + 2.60516i
\(261\) −12.8092 + 3.74334i −0.792871 + 0.231707i
\(262\) 18.0472 + 10.4195i 1.11496 + 0.643721i
\(263\) −24.0966 13.9122i −1.48586 0.857862i −0.485991 0.873964i \(-0.661541\pi\)
−0.999870 + 0.0161014i \(0.994875\pi\)
\(264\) −32.6185 24.4505i −2.00753 1.50482i
\(265\) 13.1125i 0.805494i
\(266\) 9.96140 13.9850i 0.610772 0.857476i
\(267\) 1.48251 12.3323i 0.0907279 0.754725i
\(268\) −23.2569 + 40.2822i −1.42064 + 2.46063i
\(269\) 13.4574 0.820511 0.410255 0.911971i \(-0.365440\pi\)
0.410255 + 0.911971i \(0.365440\pi\)
\(270\) 32.2862 26.5538i 1.96488 1.61601i
\(271\) 17.8056i 1.08162i −0.841146 0.540808i \(-0.818119\pi\)
0.841146 0.540808i \(-0.181881\pi\)
\(272\) 35.2638 2.13818
\(273\) 16.2758 2.84563i 0.985058 0.172225i
\(274\) −51.1141 −3.08792
\(275\) 14.9505i 0.901546i
\(276\) −27.9867 3.36437i −1.68460 0.202512i
\(277\) 11.5595 0.694545 0.347273 0.937764i \(-0.387108\pi\)
0.347273 + 0.937764i \(0.387108\pi\)
\(278\) 16.0124 27.7343i 0.960359 1.66339i
\(279\) 19.5960 5.72670i 1.17318 0.342849i
\(280\) −5.60128 + 58.5793i −0.334740 + 3.50078i
\(281\) 4.47214i 0.266786i −0.991063 0.133393i \(-0.957413\pi\)
0.991063 0.133393i \(-0.0425872\pi\)
\(282\) 8.82450 11.7725i 0.525491 0.701039i
\(283\) −3.65503 2.11023i −0.217269 0.125440i 0.387416 0.921905i \(-0.373368\pi\)
−0.604685 + 0.796465i \(0.706701\pi\)
\(284\) −18.5192 10.6921i −1.09891 0.634459i
\(285\) −13.2723 1.59551i −0.786184 0.0945097i
\(286\) −18.7982 + 24.2642i −1.11156 + 1.43477i
\(287\) 14.7948 20.7707i 0.873307 1.22605i
\(288\) −6.73766 + 27.6188i −0.397021 + 1.62746i
\(289\) −2.22070 −0.130630
\(290\) −35.7869 −2.10148
\(291\) 12.5512 16.7441i 0.735765 0.981559i
\(292\) −14.5911 + 8.42417i −0.853879 + 0.492987i
\(293\) −12.7485 + 22.0810i −0.744773 + 1.28998i 0.205528 + 0.978651i \(0.434109\pi\)
−0.950301 + 0.311333i \(0.899225\pi\)
\(294\) 23.3528 21.1909i 1.36196 1.23588i
\(295\) 3.70647 6.41979i 0.215799 0.373774i
\(296\) 14.1213i 0.820786i
\(297\) 13.1356 10.8033i 0.762204 0.626874i
\(298\) −8.98454 15.5617i −0.520460 0.901464i
\(299\) −1.66414 + 12.2024i −0.0962397 + 0.705680i
\(300\) 34.6615 14.8167i 2.00118 0.855442i
\(301\) 19.5194 + 1.86642i 1.12508 + 0.107579i
\(302\) −36.3655 + 20.9956i −2.09260 + 1.20816i
\(303\) −2.80502 2.10261i −0.161144 0.120792i
\(304\) 19.8213 11.4438i 1.13683 0.656348i
\(305\) 28.6856i 1.64253i
\(306\) −7.10923 + 29.1420i −0.406408 + 1.66593i
\(307\) 15.3847i 0.878050i −0.898475 0.439025i \(-0.855324\pi\)
0.898475 0.439025i \(-0.144676\pi\)
\(308\) −3.92743 + 41.0739i −0.223786 + 2.34040i
\(309\) −3.20777 + 4.27937i −0.182484 + 0.243445i
\(310\) 54.7481 3.10948
\(311\) −0.112724 0.195243i −0.00639198 0.0110712i 0.862812 0.505525i \(-0.168701\pi\)
−0.869204 + 0.494454i \(0.835368\pi\)
\(312\) 43.4515 + 11.3351i 2.45996 + 0.641725i
\(313\) 9.06754 + 5.23514i 0.512527 + 0.295908i 0.733872 0.679288i \(-0.237711\pi\)
−0.221345 + 0.975196i \(0.571045\pi\)
\(314\) −0.105260 0.182315i −0.00594014 0.0102886i
\(315\) −23.1896 8.06258i −1.30659 0.454275i
\(316\) 15.4757 26.8048i 0.870578 1.50789i
\(317\) −29.2482 16.8864i −1.64274 0.948437i −0.979854 0.199717i \(-0.935998\pi\)
−0.662887 0.748720i \(-0.730669\pi\)
\(318\) 17.5600 7.50633i 0.984714 0.420934i
\(319\) −14.5598 −0.815194
\(320\) −9.74531 + 16.8794i −0.544779 + 0.943585i
\(321\) 15.5291 + 1.86680i 0.866750 + 0.104195i
\(322\) 9.76125 + 21.3815i 0.543973 + 1.19154i
\(323\) 8.30722 4.79618i 0.462226 0.266866i
\(324\) −38.0648 19.7471i −2.11471 1.09706i
\(325\) −6.23170 15.2445i −0.345673 0.845610i
\(326\) 10.9747 6.33624i 0.607832 0.350932i
\(327\) 22.6513 9.68272i 1.25262 0.535456i
\(328\) 60.0218 34.6536i 3.31415 1.91342i
\(329\) −8.60161 0.822474i −0.474222 0.0453445i
\(330\) 41.9376 17.9270i 2.30859 0.986850i
\(331\) 8.95942 + 15.5182i 0.492454 + 0.852956i 0.999962 0.00869133i \(-0.00276657\pi\)
−0.507508 + 0.861647i \(0.669433\pi\)
\(332\) 18.3030 1.00451
\(333\) −5.72368 1.39630i −0.313656 0.0765169i
\(334\) 41.6823 24.0653i 2.28076 1.31680i
\(335\) −15.0981 26.1506i −0.824896 1.42876i
\(336\) 40.0490 12.7684i 2.18485 0.696571i
\(337\) −30.2006 −1.64513 −0.822565 0.568671i \(-0.807458\pi\)
−0.822565 + 0.568671i \(0.807458\pi\)
\(338\) 9.05399 32.5769i 0.492472 1.77195i
\(339\) −9.37705 + 12.5096i −0.509291 + 0.679428i
\(340\) −28.3292 + 49.0676i −1.53637 + 2.66106i
\(341\) 22.2741 1.20621
\(342\) 5.46115 + 18.6873i 0.295305 + 1.01050i
\(343\) −17.7680 5.22464i −0.959384 0.282104i
\(344\) 46.1523 + 26.6461i 2.48837 + 1.43666i
\(345\) 10.9758 14.6424i 0.590917 0.788322i
\(346\) 7.00824 4.04621i 0.376765 0.217525i
\(347\) 5.16299i 0.277164i 0.990351 + 0.138582i \(0.0442544\pi\)
−0.990351 + 0.138582i \(0.955746\pi\)
\(348\) 14.4296 + 33.7558i 0.773505 + 1.80950i
\(349\) −8.34798 + 4.81971i −0.446857 + 0.257993i −0.706502 0.707711i \(-0.749728\pi\)
0.259645 + 0.965704i \(0.416394\pi\)
\(350\) −25.6012 18.2355i −1.36844 0.974728i
\(351\) −8.89081 + 16.4910i −0.474556 + 0.880225i
\(352\) −15.5084 + 26.8613i −0.826599 + 1.43171i
\(353\) −7.17135 + 12.4211i −0.381692 + 0.661110i −0.991304 0.131589i \(-0.957992\pi\)
0.609612 + 0.792700i \(0.291325\pi\)
\(354\) −10.7190 1.28857i −0.569710 0.0684866i
\(355\) 12.0224 6.94116i 0.638085 0.368399i
\(356\) −34.1691 −1.81096
\(357\) 16.7848 5.35130i 0.888345 0.283221i
\(358\) −6.71261 + 11.6266i −0.354772 + 0.614484i
\(359\) 12.1885 + 7.03703i 0.643284 + 0.371400i 0.785878 0.618381i \(-0.212211\pi\)
−0.142595 + 0.989781i \(0.545544\pi\)
\(360\) −48.2327 46.1077i −2.54209 2.43009i
\(361\) −6.38709 + 11.0628i −0.336163 + 0.582251i
\(362\) −15.6749 −0.823856
\(363\) −0.456805 + 0.195270i −0.0239760 + 0.0102490i
\(364\) −13.1159 43.5186i −0.687459 2.28100i
\(365\) 10.9377i 0.572506i
\(366\) 38.4151 16.4212i 2.00799 0.858352i
\(367\) 0.839387 + 0.484620i 0.0438156 + 0.0252970i 0.521748 0.853100i \(-0.325280\pi\)
−0.477932 + 0.878397i \(0.658614\pi\)
\(368\) 31.3311i 1.63325i
\(369\) 8.11096 + 27.7546i 0.422240 + 1.44485i
\(370\) −13.6825 7.89958i −0.711318 0.410680i
\(371\) −9.13530 6.50699i −0.474281 0.337826i
\(372\) −22.0748 51.6409i −1.14453 2.67745i
\(373\) 9.08827 + 15.7413i 0.470573 + 0.815056i 0.999434 0.0336529i \(-0.0107141\pi\)
−0.528861 + 0.848708i \(0.677381\pi\)
\(374\) −16.3636 + 28.3426i −0.846143 + 1.46556i
\(375\) 0.276446 2.29963i 0.0142756 0.118752i
\(376\) −20.3379 11.7421i −1.04885 0.605552i
\(377\) 14.8462 6.06888i 0.764616 0.312563i
\(378\) 2.47782 + 35.6705i 0.127445 + 1.83469i
\(379\) 0.418571 + 0.724986i 0.0215005 + 0.0372400i 0.876575 0.481264i \(-0.159822\pi\)
−0.855075 + 0.518504i \(0.826489\pi\)
\(380\) 36.7735i 1.88644i
\(381\) 26.9928 11.5386i 1.38288 0.591140i
\(382\) 14.7777 + 25.5957i 0.756094 + 1.30959i
\(383\) −2.59736 4.49876i −0.132719 0.229876i 0.792005 0.610515i \(-0.209037\pi\)
−0.924724 + 0.380639i \(0.875704\pi\)
\(384\) −4.40886 0.530003i −0.224989 0.0270466i
\(385\) −21.8174 15.5403i −1.11192 0.792009i
\(386\) 17.5743 + 10.1465i 0.894506 + 0.516443i
\(387\) −15.3637 + 16.0718i −0.780981 + 0.816975i
\(388\) −49.8529 28.7826i −2.53090 1.46122i
\(389\) −23.1078 + 13.3413i −1.17161 + 0.676430i −0.954059 0.299618i \(-0.903141\pi\)
−0.217553 + 0.976049i \(0.569807\pi\)
\(390\) −35.2899 + 35.7602i −1.78698 + 1.81079i
\(391\) 13.1311i 0.664067i
\(392\) −38.0318 32.9720i −1.92090 1.66534i
\(393\) 11.1043 + 8.32366i 0.560138 + 0.419873i
\(394\) −28.5440 49.4396i −1.43803 2.49073i
\(395\) 10.0466 + 17.4013i 0.505501 + 0.875554i
\(396\) −33.8192 32.3292i −1.69948 1.62460i
\(397\) −21.0859 + 12.1739i −1.05827 + 0.610993i −0.924953 0.380081i \(-0.875896\pi\)
−0.133317 + 0.991073i \(0.542563\pi\)
\(398\) 58.7020 2.94247
\(399\) 7.69787 8.45488i 0.385376 0.423273i
\(400\) −20.9492 36.2851i −1.04746 1.81426i
\(401\) 11.0038i 0.549503i 0.961515 + 0.274752i \(0.0885956\pi\)
−0.961515 + 0.274752i \(0.911404\pi\)
\(402\) −26.3774 + 35.1891i −1.31558 + 1.75507i
\(403\) −22.7122 + 9.28439i −1.13137 + 0.462488i
\(404\) −4.82174 + 8.35150i −0.239890 + 0.415502i
\(405\) 23.4576 14.9907i 1.16562 0.744893i
\(406\) 17.7590 24.9322i 0.881366 1.23737i
\(407\) −5.56669 3.21393i −0.275931 0.159309i
\(408\) 47.5380 + 5.71469i 2.35348 + 0.282919i
\(409\) 21.6415i 1.07011i −0.844819 0.535053i \(-0.820292\pi\)
0.844819 0.535053i \(-0.179708\pi\)
\(410\) 77.5419i 3.82952i
\(411\) −33.7958 4.06270i −1.66702 0.200398i
\(412\) 12.7411 + 7.35609i 0.627710 + 0.362409i
\(413\) 2.63327 + 5.76802i 0.129575 + 0.283826i
\(414\) −25.8920 6.31640i −1.27252 0.310434i
\(415\) −5.94102 + 10.2902i −0.291633 + 0.505124i
\(416\) 4.61693 33.8538i 0.226364 1.65982i
\(417\) 12.7915 17.0647i 0.626403 0.835662i
\(418\) 21.2413i 1.03895i
\(419\) −6.04832 10.4760i −0.295480 0.511786i 0.679617 0.733567i \(-0.262146\pi\)
−0.975096 + 0.221782i \(0.928813\pi\)
\(420\) −14.4069 + 65.9833i −0.702984 + 3.21965i
\(421\) 38.8227 1.89210 0.946052 0.324016i \(-0.105033\pi\)
0.946052 + 0.324016i \(0.105033\pi\)
\(422\) −25.0290 + 14.4505i −1.21839 + 0.703439i
\(423\) 6.77031 7.08234i 0.329184 0.344355i
\(424\) −15.2412 26.3986i −0.740181 1.28203i
\(425\) −8.77995 15.2073i −0.425890 0.737664i
\(426\) −16.1778 12.1267i −0.783816 0.587540i
\(427\) −19.9849 14.2350i −0.967135 0.688882i
\(428\) 43.0264i 2.07976i
\(429\) −14.3576 + 14.5489i −0.693194 + 0.702430i
\(430\) −51.6359 + 29.8120i −2.49010 + 1.43766i
\(431\) −6.13958 3.54469i −0.295733 0.170742i 0.344791 0.938679i \(-0.387950\pi\)
−0.640524 + 0.767938i \(0.721283\pi\)
\(432\) −16.7423 + 44.6261i −0.805512 + 2.14708i
\(433\) −7.29369 4.21101i −0.350512 0.202368i 0.314399 0.949291i \(-0.398197\pi\)
−0.664911 + 0.746923i \(0.731530\pi\)
\(434\) −27.1684 + 38.1422i −1.30412 + 1.83089i
\(435\) −23.6617 2.84444i −1.13449 0.136381i
\(436\) −33.8828 58.6867i −1.62269 2.81058i
\(437\) 4.26130 + 7.38078i 0.203845 + 0.353071i
\(438\) −14.6475 + 6.26137i −0.699887 + 0.299180i
\(439\) 13.3222i 0.635835i 0.948118 + 0.317918i \(0.102984\pi\)
−0.948118 + 0.317918i \(0.897016\pi\)
\(440\) −36.4000 63.0466i −1.73530 3.00563i
\(441\) 17.1248 12.1549i 0.815466 0.578804i
\(442\) 4.87155 35.7207i 0.231716 1.69906i
\(443\) −4.72951 2.73058i −0.224706 0.129734i 0.383421 0.923573i \(-0.374746\pi\)
−0.608127 + 0.793839i \(0.708079\pi\)
\(444\) −1.93436 + 16.0911i −0.0918008 + 0.763650i
\(445\) 11.0910 19.2103i 0.525766 0.910653i
\(446\) 17.5973 + 30.4793i 0.833254 + 1.44324i
\(447\) −4.70353 11.0032i −0.222469 0.520435i
\(448\) −6.92358 15.1657i −0.327108 0.716512i
\(449\) −24.2926 14.0254i −1.14644 0.661897i −0.198423 0.980117i \(-0.563582\pi\)
−0.948017 + 0.318219i \(0.896915\pi\)
\(450\) 34.2093 9.99727i 1.61264 0.471276i
\(451\) 31.5478i 1.48553i
\(452\) 37.2453 + 21.5036i 1.75187 + 1.01144i
\(453\) −25.7130 + 10.9915i −1.20810 + 0.516426i
\(454\) 38.0736i 1.78688i
\(455\) 28.7240 + 6.75194i 1.34660 + 0.316536i
\(456\) 28.5749 12.2149i 1.33814 0.572014i
\(457\) 10.2671 0.480275 0.240138 0.970739i \(-0.422807\pi\)
0.240138 + 0.970739i \(0.422807\pi\)
\(458\) −6.09532 + 10.5574i −0.284816 + 0.493315i
\(459\) −7.01679 + 18.7031i −0.327516 + 0.872986i
\(460\) −43.5954 25.1698i −2.03265 1.17355i
\(461\) −6.69370 + 11.5938i −0.311756 + 0.539978i −0.978743 0.205092i \(-0.934251\pi\)
0.666986 + 0.745070i \(0.267584\pi\)
\(462\) −8.32178 + 38.1136i −0.387164 + 1.77320i
\(463\) 28.5865 1.32853 0.664264 0.747498i \(-0.268745\pi\)
0.664264 + 0.747498i \(0.268745\pi\)
\(464\) 35.3371 20.4019i 1.64048 0.947133i
\(465\) 36.1985 + 4.35153i 1.67866 + 0.201797i
\(466\) 10.8661 18.8207i 0.503364 0.871851i
\(467\) −16.4521 + 28.4959i −0.761312 + 1.31863i 0.180862 + 0.983508i \(0.442111\pi\)
−0.942174 + 0.335123i \(0.891222\pi\)
\(468\) 47.9598 + 18.8683i 2.21694 + 0.872188i
\(469\) 25.7111 + 2.45846i 1.18723 + 0.113521i
\(470\) 22.7544 13.1372i 1.04958 0.605975i
\(471\) −0.0551049 0.128910i −0.00253910 0.00593985i
\(472\) 17.2328i 0.793203i
\(473\) −21.0080 + 12.1290i −0.965948 + 0.557690i
\(474\) 17.5522 23.4157i 0.806197 1.07552i
\(475\) −9.87016 5.69854i −0.452874 0.261467i
\(476\) −20.1265 44.0860i −0.922498 2.02068i
\(477\) 12.2070 3.56734i 0.558919 0.163337i
\(478\) 5.82329 0.266351
\(479\) 7.99625 13.8499i 0.365358 0.632818i −0.623476 0.781843i \(-0.714280\pi\)
0.988834 + 0.149024i \(0.0476133\pi\)
\(480\) −30.4509 + 40.6235i −1.38989 + 1.85420i
\(481\) 7.01580 + 0.956805i 0.319893 + 0.0436266i
\(482\) −10.0956 −0.459843
\(483\) 4.75451 + 14.9129i 0.216338 + 0.678561i
\(484\) 0.683308 + 1.18352i 0.0310594 + 0.0537965i
\(485\) 32.3639 18.6853i 1.46957 0.848455i
\(486\) −33.5037 22.8324i −1.51976 1.03570i
\(487\) 20.5163 0.929681 0.464841 0.885394i \(-0.346112\pi\)
0.464841 + 0.885394i \(0.346112\pi\)
\(488\) −33.3425 57.7510i −1.50935 2.61426i
\(489\) 7.75990 3.31711i 0.350915 0.150005i
\(490\) 53.2226 18.4051i 2.40435 0.831459i
\(491\) 15.6262 9.02180i 0.705201 0.407148i −0.104081 0.994569i \(-0.533190\pi\)
0.809282 + 0.587421i \(0.199857\pi\)
\(492\) 73.1411 31.2655i 3.29745 1.40956i
\(493\) 14.8100 8.55055i 0.667008 0.385097i
\(494\) −8.85387 21.6590i −0.398355 0.974485i
\(495\) 29.1533 8.51971i 1.31034 0.382933i
\(496\) −54.0599 + 31.2115i −2.42736 + 1.40144i
\(497\) −1.13025 + 11.8204i −0.0506986 + 0.530217i
\(498\) 17.1813 + 2.06542i 0.769914 + 0.0925538i
\(499\) 16.6851 28.8994i 0.746926 1.29371i −0.202364 0.979310i \(-0.564862\pi\)
0.949290 0.314403i \(-0.101804\pi\)
\(500\) −6.37157 −0.284945
\(501\) 29.4724 12.5985i 1.31673 0.562861i
\(502\) 58.5494 + 33.8035i 2.61319 + 1.50872i
\(503\) 5.73038 9.92530i 0.255505 0.442547i −0.709528 0.704678i \(-0.751092\pi\)
0.965033 + 0.262130i \(0.0844250\pi\)
\(504\) 56.0578 10.7224i 2.49701 0.477615i
\(505\) −3.13021 5.42168i −0.139292 0.241262i
\(506\) −25.1818 14.5387i −1.11947 0.646325i
\(507\) 8.57565 20.8197i 0.380858 0.924634i
\(508\) −40.3770 69.9350i −1.79144 3.10287i
\(509\) −32.7895 −1.45337 −0.726684 0.686971i \(-0.758940\pi\)
−0.726684 + 0.686971i \(0.758940\pi\)
\(510\) −32.1302 + 42.8637i −1.42275 + 1.89804i
\(511\) 7.62016 + 5.42777i 0.337096 + 0.240111i
\(512\) 44.9931i 1.98843i
\(513\) 2.12550 + 12.7898i 0.0938430 + 0.564684i
\(514\) 33.9218i 1.49623i
\(515\) −8.27137 + 4.77548i −0.364480 + 0.210433i
\(516\) 48.9401 + 36.6849i 2.15447 + 1.61496i
\(517\) 9.25757 5.34486i 0.407147 0.235067i
\(518\) 12.2934 5.61228i 0.540140 0.246589i
\(519\) 4.95533 2.11825i 0.217515 0.0929807i
\(520\) 63.3951 + 49.1140i 2.78006 + 2.15379i
\(521\) 17.0863 + 29.5943i 0.748564 + 1.29655i 0.948511 + 0.316745i \(0.102590\pi\)
−0.199946 + 0.979807i \(0.564077\pi\)
\(522\) 9.73606 + 33.3155i 0.426136 + 1.45818i
\(523\) 33.9467i 1.48438i 0.670187 + 0.742192i \(0.266214\pi\)
−0.670187 + 0.742192i \(0.733786\pi\)
\(524\) 19.0879 33.0612i 0.833859 1.44429i
\(525\) −15.4776 14.0918i −0.675499 0.615018i
\(526\) −36.1842 + 62.6729i −1.57771 + 2.73267i
\(527\) −22.6568 + 13.0809i −0.986948 + 0.569814i
\(528\) −31.1904 + 41.6100i −1.35739 + 1.81084i
\(529\) 11.3333 0.492753
\(530\) 34.1043 1.48140
\(531\) −6.98482 1.70396i −0.303115 0.0739455i
\(532\) −25.6196 18.2486i −1.11075 0.791179i
\(533\) −13.1499 32.1682i −0.569583 1.39336i
\(534\) −32.0751 3.85585i −1.38802 0.166859i
\(535\) 24.1900 + 13.9661i 1.04582 + 0.603806i
\(536\) 60.7922 + 35.0984i 2.62582 + 1.51602i
\(537\) −5.36237 + 7.15375i −0.231403 + 0.308707i
\(538\) 35.0013i 1.50901i
\(539\) 21.6535 7.48809i 0.932682 0.322535i
\(540\) −48.6448 59.1462i −2.09334 2.54525i
\(541\) 6.13878 10.6327i 0.263927 0.457135i −0.703355 0.710839i \(-0.748316\pi\)
0.967282 + 0.253704i \(0.0816489\pi\)
\(542\) −46.3107 −1.98921
\(543\) −10.3640 1.24589i −0.444761 0.0534661i
\(544\) 36.4304i 1.56194i
\(545\) 43.9925 1.88443
\(546\) −7.40120 42.3318i −0.316742 1.81163i
\(547\) −39.3727 −1.68345 −0.841727 0.539903i \(-0.818461\pi\)
−0.841727 + 0.539903i \(0.818461\pi\)
\(548\) 93.6378i 4.00001i
\(549\) 26.7046 7.80410i 1.13972 0.333071i
\(550\) 38.8846 1.65805
\(551\) 5.54965 9.61227i 0.236423 0.409497i
\(552\) −5.07737 + 42.2364i −0.216107 + 1.79770i
\(553\) −17.1088 1.63592i −0.727541 0.0695665i
\(554\) 30.0652i 1.27735i
\(555\) −8.41873 6.31059i −0.357355 0.267869i
\(556\) −50.8074 29.3337i −2.15471 1.24402i
\(557\) −15.8259 9.13707i −0.670563 0.387150i 0.125727 0.992065i \(-0.459874\pi\)
−0.796290 + 0.604915i \(0.793207\pi\)
\(558\) −14.8946 50.9672i −0.630537 2.15762i
\(559\) 16.3655 21.1241i 0.692185 0.893454i
\(560\) 74.7272 + 7.14531i 3.15780 + 0.301945i
\(561\) −13.0721 + 17.4390i −0.551905 + 0.736277i
\(562\) −11.6316 −0.490649
\(563\) −22.6051 −0.952689 −0.476345 0.879259i \(-0.658039\pi\)
−0.476345 + 0.879259i \(0.658039\pi\)
\(564\) −21.5664 16.1659i −0.908108 0.680708i
\(565\) −24.1791 + 13.9598i −1.01722 + 0.587294i
\(566\) −5.48851 + 9.50637i −0.230699 + 0.399583i
\(567\) −1.19690 + 23.7817i −0.0502652 + 0.998736i
\(568\) −16.1361 + 27.9485i −0.677054 + 1.17269i
\(569\) 4.95360i 0.207666i 0.994595 + 0.103833i \(0.0331107\pi\)
−0.994595 + 0.103833i \(0.966889\pi\)
\(570\) −4.14975 + 34.5200i −0.173814 + 1.44588i
\(571\) 14.5385 + 25.1815i 0.608419 + 1.05381i 0.991501 + 0.130098i \(0.0415293\pi\)
−0.383082 + 0.923714i \(0.625137\pi\)
\(572\) 44.4505 + 34.4371i 1.85857 + 1.43989i
\(573\) 7.73634 + 18.0980i 0.323190 + 0.756056i
\(574\) −54.0224 38.4797i −2.25485 1.60611i
\(575\) 13.5114 7.80079i 0.563463 0.325316i
\(576\) 18.3650 + 4.48017i 0.765207 + 0.186674i
\(577\) −18.5775 + 10.7257i −0.773393 + 0.446518i −0.834084 0.551638i \(-0.814003\pi\)
0.0606909 + 0.998157i \(0.480670\pi\)
\(578\) 5.77582i 0.240243i
\(579\) 10.8133 + 8.10554i 0.449386 + 0.336855i
\(580\) 65.5593i 2.72220i
\(581\) −4.22082 9.24546i −0.175109 0.383566i
\(582\) −43.5498 32.6445i −1.80520 1.35316i
\(583\) 13.8753 0.574655
\(584\) 12.7134 + 22.0203i 0.526084 + 0.911205i
\(585\) −26.1754 + 20.8390i −1.08222 + 0.861588i
\(586\) 57.4304 + 33.1575i 2.37243 + 1.36972i
\(587\) −22.9823 39.8064i −0.948579 1.64299i −0.748421 0.663224i \(-0.769188\pi\)
−0.200158 0.979764i \(-0.564145\pi\)
\(588\) −38.8203 42.7809i −1.60092 1.76425i
\(589\) −8.49005 + 14.7052i −0.349826 + 0.605917i
\(590\) −16.6972 9.64015i −0.687414 0.396879i
\(591\) −14.9432 34.9574i −0.614681 1.43795i
\(592\) 18.0140 0.740370
\(593\) −5.11847 + 8.86545i −0.210190 + 0.364060i −0.951774 0.306800i \(-0.900742\pi\)
0.741584 + 0.670860i \(0.234075\pi\)
\(594\) −28.0984 34.1643i −1.15289 1.40178i
\(595\) 31.3186 + 2.99465i 1.28394 + 0.122769i
\(596\) −28.5080 + 16.4591i −1.16773 + 0.674191i
\(597\) 38.8128 + 4.66581i 1.58850 + 0.190959i
\(598\) 31.7371 + 4.32826i 1.29783 + 0.176996i
\(599\) 26.9857 15.5802i 1.10261 0.636590i 0.165701 0.986176i \(-0.447011\pi\)
0.936904 + 0.349586i \(0.113678\pi\)
\(600\) −22.3607 52.3096i −0.912873 2.13553i
\(601\) −7.77985 + 4.49170i −0.317347 + 0.183220i −0.650209 0.759755i \(-0.725319\pi\)
0.332863 + 0.942975i \(0.391985\pi\)
\(602\) 4.85438 50.7681i 0.197850 2.06915i
\(603\) −20.2372 + 21.1699i −0.824122 + 0.862105i
\(604\) 38.4626 + 66.6193i 1.56502 + 2.71070i
\(605\) −0.887188 −0.0360693
\(606\) −5.46869 + 7.29558i −0.222150 + 0.296363i
\(607\) 28.8701 16.6682i 1.17180 0.676540i 0.217698 0.976016i \(-0.430145\pi\)
0.954104 + 0.299476i \(0.0968119\pi\)
\(608\) −11.8224 20.4770i −0.479461 0.830452i
\(609\) 13.7236 15.0732i 0.556110 0.610798i
\(610\) 74.6083 3.02080
\(611\) −7.21175 + 9.30874i −0.291756 + 0.376591i
\(612\) 53.3862 + 13.0237i 2.15801 + 0.526450i
\(613\) 17.3720 30.0892i 0.701649 1.21529i −0.266238 0.963907i \(-0.585781\pi\)
0.967887 0.251385i \(-0.0808859\pi\)
\(614\) −40.0140 −1.61483
\(615\) −6.16325 + 51.2694i −0.248526 + 2.06738i
\(616\) 61.9870 + 5.92711i 2.49753 + 0.238810i
\(617\) 26.8450 + 15.4989i 1.08074 + 0.623964i 0.931095 0.364776i \(-0.118855\pi\)
0.149642 + 0.988740i \(0.452188\pi\)
\(618\) 11.1302 + 8.34308i 0.447723 + 0.335608i
\(619\) 3.26509 1.88510i 0.131235 0.0757686i −0.432945 0.901420i \(-0.642526\pi\)
0.564180 + 0.825652i \(0.309192\pi\)
\(620\) 100.295i 4.02794i
\(621\) −16.6173 6.23426i −0.666829 0.250172i
\(622\) −0.507808 + 0.293183i −0.0203613 + 0.0117556i
\(623\) 7.87966 + 17.2600i 0.315692 + 0.691505i
\(624\) 14.4597 55.4292i 0.578853 2.21894i
\(625\) 13.4874 23.3608i 0.539494 0.934432i
\(626\) 13.6161 23.5838i 0.544208 0.942596i
\(627\) −1.68832 + 14.0444i −0.0674250 + 0.560878i
\(628\) −0.333989 + 0.192829i −0.0133276 + 0.00769471i
\(629\) 7.54978 0.301029
\(630\) −20.9700 + 60.3139i −0.835463 + 2.40296i
\(631\) 0.379300 0.656968i 0.0150997 0.0261535i −0.858377 0.513020i \(-0.828527\pi\)
0.873477 + 0.486866i \(0.161860\pi\)
\(632\) −40.4526 23.3553i −1.60912 0.929025i
\(633\) −17.6973 + 7.56503i −0.703404 + 0.300683i
\(634\) −43.9199 + 76.0715i −1.74428 + 3.02119i
\(635\) 52.4244 2.08040
\(636\) −13.7511 32.1687i −0.545267 1.27557i
\(637\) −18.9581 + 16.6610i −0.751148 + 0.660134i
\(638\) 37.8687i 1.49923i
\(639\) −9.73260 9.30381i −0.385016 0.368053i
\(640\) −6.86776 3.96510i −0.271472 0.156734i
\(641\) 4.11691i 0.162608i −0.996689 0.0813040i \(-0.974092\pi\)
0.996689 0.0813040i \(-0.0259085\pi\)
\(642\) 4.85537 40.3896i 0.191626 1.59405i
\(643\) 1.02787 + 0.593443i 0.0405354 + 0.0234031i 0.520131 0.854087i \(-0.325883\pi\)
−0.479595 + 0.877490i \(0.659217\pi\)
\(644\) 39.1695 17.8820i 1.54349 0.704649i
\(645\) −36.5103 + 15.6070i −1.43759 + 0.614525i
\(646\) −12.4744 21.6063i −0.490798 0.850087i
\(647\) 3.48671 6.03916i 0.137077 0.237424i −0.789312 0.613992i \(-0.789563\pi\)
0.926389 + 0.376568i \(0.122896\pi\)
\(648\) −29.8016 + 57.4458i −1.17072 + 2.25668i
\(649\) −6.79323 3.92208i −0.266658 0.153955i
\(650\) −39.6493 + 16.2080i −1.55517 + 0.635731i
\(651\) −20.9949 + 23.0596i −0.822856 + 0.903775i
\(652\) −11.6076 20.1049i −0.454588 0.787370i
\(653\) 2.74846i 0.107555i 0.998553 + 0.0537777i \(0.0171262\pi\)
−0.998553 + 0.0537777i \(0.982874\pi\)
\(654\) −25.1838 58.9138i −0.984764 2.30371i
\(655\) 12.3916 + 21.4629i 0.484181 + 0.838625i
\(656\) −44.2061 76.5672i −1.72596 2.98945i
\(657\) −10.1824 + 2.97568i −0.397252 + 0.116092i
\(658\) −2.13917 + 22.3719i −0.0833937 + 0.872148i
\(659\) 26.4438 + 15.2673i 1.03010 + 0.594731i 0.917015 0.398853i \(-0.130592\pi\)
0.113090 + 0.993585i \(0.463925\pi\)
\(660\) −32.8411 76.8270i −1.27834 2.99049i
\(661\) −20.9223 12.0795i −0.813784 0.469839i 0.0344841 0.999405i \(-0.489021\pi\)
−0.848268 + 0.529567i \(0.822355\pi\)
\(662\) 40.3612 23.3026i 1.56868 0.905679i
\(663\) 6.06017 23.2307i 0.235357 0.902207i
\(664\) 27.6221i 1.07195i
\(665\) 18.5756 8.48028i 0.720329 0.328851i
\(666\) −3.63164 + 14.8867i −0.140723 + 0.576849i
\(667\) 7.59697 + 13.1583i 0.294156 + 0.509493i
\(668\) −44.0861 76.3594i −1.70574 2.95443i
\(669\) 9.21241 + 21.5511i 0.356173 + 0.833213i
\(670\) −68.0152 + 39.2686i −2.62766 + 1.51708i
\(671\) 30.3542 1.17181
\(672\) −13.1908 41.3739i −0.508844 1.59603i
\(673\) −18.1149 31.3760i −0.698279 1.20946i −0.969063 0.246815i \(-0.920616\pi\)
0.270783 0.962640i \(-0.412717\pi\)
\(674\) 78.5486i 3.02558i
\(675\) 23.4132 3.89097i 0.901176 0.149763i
\(676\) −59.6788 16.5863i −2.29534 0.637935i
\(677\) −2.63877 + 4.57048i −0.101416 + 0.175658i −0.912268 0.409593i \(-0.865671\pi\)
0.810852 + 0.585251i \(0.199004\pi\)
\(678\) 32.5362 + 24.3888i 1.24954 + 0.936645i
\(679\) −3.04258 + 31.8199i −0.116763 + 1.22114i
\(680\) 74.0507 + 42.7532i 2.83972 + 1.63951i
\(681\) −3.02620 + 25.1736i −0.115964 + 0.964656i
\(682\) 57.9328i 2.21836i
\(683\) 33.6552i 1.28778i −0.765117 0.643891i \(-0.777319\pi\)
0.765117 0.643891i \(-0.222681\pi\)
\(684\) 34.2340 10.0045i 1.30897 0.382531i
\(685\) −52.6443 30.3942i −2.01143 1.16130i
\(686\) −13.5888 + 46.2129i −0.518822 + 1.76442i
\(687\) −4.86925 + 6.49590i −0.185774 + 0.247834i
\(688\) 33.9912 58.8746i 1.29590 2.24457i
\(689\) −14.1481 + 5.78354i −0.539000 + 0.220335i
\(690\) −38.0835 28.5470i −1.44981 1.08676i
\(691\) 23.7842i 0.904795i −0.891816 0.452397i \(-0.850569\pi\)
0.891816 0.452397i \(-0.149431\pi\)
\(692\) −7.41239 12.8386i −0.281777 0.488052i
\(693\) −8.53159 + 24.5386i −0.324088 + 0.932144i
\(694\) 13.4284 0.509736
\(695\) 32.9835 19.0430i 1.25113 0.722343i
\(696\) 50.9429 21.7765i 1.93099 0.825436i
\(697\) −18.5271 32.0898i −0.701763 1.21549i
\(698\) 12.5356 + 21.7123i 0.474479 + 0.821821i
\(699\) 8.68042 11.5802i 0.328323 0.438005i
\(700\) −33.4062 + 46.8997i −1.26264 + 1.77264i
\(701\) 16.8828i 0.637656i −0.947813 0.318828i \(-0.896711\pi\)
0.947813 0.318828i \(-0.103289\pi\)
\(702\) 42.8915 + 23.1241i 1.61883 + 0.872763i
\(703\) 4.24362 2.45005i 0.160051 0.0924055i
\(704\) 17.8613 + 10.3122i 0.673171 + 0.388656i
\(705\) 16.0890 6.87753i 0.605946 0.259023i
\(706\) 32.3061 + 18.6520i 1.21586 + 0.701976i
\(707\) 5.33056 + 0.509701i 0.200476 + 0.0191693i
\(708\) −2.36057 + 19.6366i −0.0887158 + 0.737987i
\(709\) 5.66732 + 9.81608i 0.212841 + 0.368651i 0.952602 0.304218i \(-0.0983952\pi\)
−0.739762 + 0.672869i \(0.765062\pi\)
\(710\) −18.0533 31.2692i −0.677527 1.17351i
\(711\) 13.4663 14.0870i 0.505027 0.528303i
\(712\) 51.5665i 1.93254i
\(713\) −11.6221 20.1301i −0.435252 0.753878i
\(714\) −13.9182 43.6555i −0.520875 1.63377i
\(715\) −33.7893 + 13.8125i −1.26365 + 0.516560i
\(716\) 21.2991 + 12.2971i 0.795986 + 0.459563i
\(717\) 3.85026 + 0.462851i 0.143790 + 0.0172855i
\(718\) 18.3026 31.7010i 0.683047 1.18307i
\(719\) −1.24951 2.16422i −0.0465989 0.0807116i 0.841785 0.539813i \(-0.181505\pi\)
−0.888384 + 0.459101i \(0.848172\pi\)
\(720\) −58.8177 + 61.5285i −2.19200 + 2.29303i
\(721\) 0.777605 8.13235i 0.0289595 0.302865i
\(722\) 28.7731 + 16.6122i 1.07083 + 0.618241i
\(723\) −6.67506 0.802430i −0.248248 0.0298427i
\(724\) 28.7154i 1.06720i
\(725\) −17.5964 10.1593i −0.653513 0.377306i
\(726\) 0.507877 + 1.18810i 0.0188491 + 0.0440946i
\(727\) 36.3744i 1.34905i −0.738252 0.674525i \(-0.764348\pi\)
0.738252 0.674525i \(-0.235652\pi\)
\(728\) −65.6765 + 19.7940i −2.43413 + 0.733613i
\(729\) −20.3373 17.7594i −0.753232 0.657755i
\(730\) −28.4479 −1.05290
\(731\) 14.2459 24.6747i 0.526905 0.912627i
\(732\) −30.0827 70.3739i −1.11189 2.60110i
\(733\) 29.3079 + 16.9209i 1.08251 + 0.624990i 0.931573 0.363553i \(-0.118437\pi\)
0.150940 + 0.988543i \(0.451770\pi\)
\(734\) 1.26045 2.18316i 0.0465240 0.0805819i
\(735\) 36.6527 7.93887i 1.35196 0.292830i
\(736\) 32.3676 1.19309
\(737\) −27.6719 + 15.9764i −1.01931 + 0.588497i
\(738\) 72.1870 21.0958i 2.65724 0.776547i
\(739\) −3.22766 + 5.59048i −0.118732 + 0.205649i −0.919265 0.393639i \(-0.871216\pi\)
0.800534 + 0.599288i \(0.204549\pi\)
\(740\) −14.4715 + 25.0654i −0.531984 + 0.921423i
\(741\) −4.13251 15.0243i −0.151811 0.551931i
\(742\) −16.9240 + 23.7600i −0.621301 + 0.872257i
\(743\) −15.8456 + 9.14848i −0.581320 + 0.335625i −0.761658 0.647979i \(-0.775614\pi\)
0.180338 + 0.983605i \(0.442281\pi\)
\(744\) −77.9342 + 33.3144i −2.85721 + 1.22137i
\(745\) 21.3700i 0.782938i
\(746\) 40.9416 23.6377i 1.49898 0.865437i
\(747\) 11.1958 + 2.73124i 0.409634 + 0.0999309i
\(748\) 51.9219 + 29.9771i 1.89845 + 1.09607i
\(749\) −21.7341 + 9.92224i −0.794147 + 0.362551i
\(750\) −5.98110 0.719007i −0.218399 0.0262544i
\(751\) −45.6216 −1.66476 −0.832378 0.554208i \(-0.813021\pi\)
−0.832378 + 0.554208i \(0.813021\pi\)
\(752\) −14.9789 + 25.9442i −0.546224 + 0.946088i
\(753\) 36.0250 + 27.0040i 1.31283 + 0.984079i
\(754\) −15.7845 38.6134i −0.574839 1.40622i
\(755\) −49.9389 −1.81746
\(756\) 65.3461 4.53921i 2.37661 0.165089i
\(757\) −14.7785 25.5971i −0.537134 0.930344i −0.999057 0.0434237i \(-0.986173\pi\)
0.461922 0.886920i \(-0.347160\pi\)
\(758\) 1.88562 1.08866i 0.0684887 0.0395420i
\(759\) −15.4942 11.6143i −0.562404 0.421571i
\(760\) 55.4971 2.01309
\(761\) 15.9767 + 27.6725i 0.579155 + 1.00313i 0.995577 + 0.0939540i \(0.0299507\pi\)
−0.416422 + 0.909172i \(0.636716\pi\)
\(762\) −30.0107 70.2056i −1.08717 2.54328i
\(763\) −21.8310 + 30.6490i −0.790335 + 1.10957i
\(764\) 46.8898 27.0718i 1.69641 0.979424i
\(765\) −24.6508 + 25.7870i −0.891253 + 0.932330i
\(766\) −11.7008 + 6.75547i −0.422768 + 0.244085i
\(767\) 8.56164 + 1.16762i 0.309143 + 0.0421605i
\(768\) −3.98373 + 33.1389i −0.143751 + 1.19580i
\(769\) −35.7363 + 20.6324i −1.28868 + 0.744022i −0.978420 0.206628i \(-0.933751\pi\)
−0.310264 + 0.950650i \(0.600418\pi\)
\(770\) −40.4189 + 56.7449i −1.45660 + 2.04494i
\(771\) −2.69620 + 22.4285i −0.0971012 + 0.807742i
\(772\) 18.5877 32.1949i 0.668987 1.15872i
\(773\) −24.4569 −0.879653 −0.439827 0.898083i \(-0.644960\pi\)
−0.439827 + 0.898083i \(0.644960\pi\)