Properties

Label 91.2.bc.a.20.3
Level $91$
Weight $2$
Character 91.20
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 20.3
Character \(\chi\) \(=\) 91.20
Dual form 91.2.bc.a.41.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.892257 + 0.239080i) q^{2} +(-0.988196 - 0.570535i) q^{3} +(-0.993087 + 0.573359i) q^{4} +(2.80028 - 2.80028i) q^{5} +(1.01813 + 0.272807i) q^{6} +(2.62900 - 0.297264i) q^{7} +(2.05537 - 2.05537i) q^{8} +(-0.848979 - 1.47047i) q^{9} +O(q^{10})\) \(q+(-0.892257 + 0.239080i) q^{2} +(-0.988196 - 0.570535i) q^{3} +(-0.993087 + 0.573359i) q^{4} +(2.80028 - 2.80028i) q^{5} +(1.01813 + 0.272807i) q^{6} +(2.62900 - 0.297264i) q^{7} +(2.05537 - 2.05537i) q^{8} +(-0.848979 - 1.47047i) q^{9} +(-1.82908 + 3.16806i) q^{10} +(0.544983 + 2.03390i) q^{11} +1.30849 q^{12} +(-3.41094 - 1.16855i) q^{13} +(-2.27467 + 0.893776i) q^{14} +(-4.36489 + 1.16957i) q^{15} +(-0.195801 + 0.339138i) q^{16} +(1.58621 + 2.74739i) q^{17} +(1.10907 + 1.10907i) q^{18} +(-1.12791 - 0.302223i) q^{19} +(-1.17536 + 4.38649i) q^{20} +(-2.76757 - 1.20618i) q^{21} +(-0.972529 - 1.68447i) q^{22} +(3.26418 + 1.88457i) q^{23} +(-3.20376 + 0.858446i) q^{24} -10.6832i q^{25} +(3.32281 + 0.227159i) q^{26} +5.36070i q^{27} +(-2.44038 + 1.80257i) q^{28} +(-0.584891 + 1.01306i) q^{29} +(3.61498 - 2.08711i) q^{30} +(-3.57780 + 3.57780i) q^{31} +(-1.41101 + 5.26595i) q^{32} +(0.621864 - 2.32083i) q^{33} +(-2.07215 - 2.07215i) q^{34} +(6.52952 - 8.19436i) q^{35} +(1.68622 + 0.973539i) q^{36} +(1.14379 + 4.26868i) q^{37} +1.07864 q^{38} +(2.70398 + 3.10081i) q^{39} -11.5112i q^{40} +(-1.85922 - 6.93869i) q^{41} +(2.75775 + 0.414555i) q^{42} +(-1.91410 + 1.10511i) q^{43} +(-1.70737 - 1.70737i) q^{44} +(-6.49513 - 1.74036i) q^{45} +(-3.36305 - 0.901126i) q^{46} +(8.21804 + 8.21804i) q^{47} +(0.386980 - 0.223423i) q^{48} +(6.82327 - 1.56301i) q^{49} +(2.55413 + 9.53214i) q^{50} -3.61995i q^{51} +(4.05735 - 0.795223i) q^{52} +4.89260 q^{53} +(-1.28163 - 4.78313i) q^{54} +(7.22161 + 4.16940i) q^{55} +(4.79257 - 6.01454i) q^{56} +(0.942169 + 0.942169i) q^{57} +(0.279671 - 1.04375i) q^{58} +(-0.0633920 + 0.236582i) q^{59} +(3.66413 - 3.66413i) q^{60} +(-10.7114 + 6.18424i) q^{61} +(2.33694 - 4.04770i) q^{62} +(-2.66908 - 3.61351i) q^{63} -5.81913i q^{64} +(-12.8239 + 6.27933i) q^{65} +2.21945i q^{66} +(-9.95481 + 2.66738i) q^{67} +(-3.15048 - 1.81893i) q^{68} +(-2.15043 - 3.72465i) q^{69} +(-3.86690 + 8.87256i) q^{70} +(1.60477 - 5.98907i) q^{71} +(-4.76733 - 1.27740i) q^{72} +(3.47893 + 3.47893i) q^{73} +(-2.04111 - 3.53530i) q^{74} +(-6.09513 + 10.5571i) q^{75} +(1.29340 - 0.346564i) q^{76} +(2.03737 + 5.18512i) q^{77} +(-3.15399 - 2.12026i) q^{78} -2.69680 q^{79} +(0.401383 + 1.49798i) q^{80} +(0.511532 - 0.886000i) q^{81} +(3.31780 + 5.74660i) q^{82} +(-3.31162 + 3.31162i) q^{83} +(3.44001 - 0.388966i) q^{84} +(12.1353 + 3.25165i) q^{85} +(1.44366 - 1.44366i) q^{86} +(1.15597 - 0.667402i) q^{87} +(5.30055 + 3.06028i) q^{88} +(-6.71890 + 1.80032i) q^{89} +6.21141 q^{90} +(-9.31472 - 2.05816i) q^{91} -4.32215 q^{92} +(5.57683 - 1.49431i) q^{93} +(-9.29737 - 5.36784i) q^{94} +(-4.00478 + 2.31216i) q^{95} +(4.39876 - 4.39876i) q^{96} +(15.8523 + 4.24762i) q^{97} +(-5.71443 + 3.02592i) q^{98} +(2.52812 - 2.52812i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.892257 + 0.239080i −0.630921 + 0.169055i −0.560088 0.828433i \(-0.689233\pi\)
−0.0708335 + 0.997488i \(0.522566\pi\)
\(3\) −0.988196 0.570535i −0.570535 0.329399i 0.186828 0.982393i \(-0.440179\pi\)
−0.757363 + 0.652994i \(0.773513\pi\)
\(4\) −0.993087 + 0.573359i −0.496543 + 0.286679i
\(5\) 2.80028 2.80028i 1.25232 1.25232i 0.297649 0.954675i \(-0.403797\pi\)
0.954675 0.297649i \(-0.0962026\pi\)
\(6\) 1.01813 + 0.272807i 0.415649 + 0.111373i
\(7\) 2.62900 0.297264i 0.993668 0.112355i
\(8\) 2.05537 2.05537i 0.726682 0.726682i
\(9\) −0.848979 1.47047i −0.282993 0.490158i
\(10\) −1.82908 + 3.16806i −0.578407 + 1.00183i
\(11\) 0.544983 + 2.03390i 0.164318 + 0.613245i 0.998126 + 0.0611898i \(0.0194895\pi\)
−0.833808 + 0.552055i \(0.813844\pi\)
\(12\) 1.30849 0.377727
\(13\) −3.41094 1.16855i −0.946024 0.324097i
\(14\) −2.27467 + 0.893776i −0.607932 + 0.238872i
\(15\) −4.36489 + 1.16957i −1.12701 + 0.301981i
\(16\) −0.195801 + 0.339138i −0.0489503 + 0.0847845i
\(17\) 1.58621 + 2.74739i 0.384712 + 0.666341i 0.991729 0.128348i \(-0.0409674\pi\)
−0.607017 + 0.794689i \(0.707634\pi\)
\(18\) 1.10907 + 1.10907i 0.261410 + 0.261410i
\(19\) −1.12791 0.302223i −0.258761 0.0693347i 0.127106 0.991889i \(-0.459431\pi\)
−0.385867 + 0.922554i \(0.626098\pi\)
\(20\) −1.17536 + 4.38649i −0.262818 + 0.980849i
\(21\) −2.76757 1.20618i −0.603932 0.263210i
\(22\) −0.972529 1.68447i −0.207344 0.359130i
\(23\) 3.26418 + 1.88457i 0.680628 + 0.392961i 0.800092 0.599878i \(-0.204784\pi\)
−0.119464 + 0.992839i \(0.538118\pi\)
\(24\) −3.20376 + 0.858446i −0.653965 + 0.175230i
\(25\) 10.6832i 2.13663i
\(26\) 3.32281 + 0.227159i 0.651657 + 0.0445496i
\(27\) 5.36070i 1.03167i
\(28\) −2.44038 + 1.80257i −0.461189 + 0.340654i
\(29\) −0.584891 + 1.01306i −0.108612 + 0.188121i −0.915208 0.402982i \(-0.867974\pi\)
0.806596 + 0.591102i \(0.201307\pi\)
\(30\) 3.61498 2.08711i 0.660003 0.381053i
\(31\) −3.57780 + 3.57780i −0.642591 + 0.642591i −0.951192 0.308600i \(-0.900139\pi\)
0.308600 + 0.951192i \(0.400139\pi\)
\(32\) −1.41101 + 5.26595i −0.249433 + 0.930898i
\(33\) 0.621864 2.32083i 0.108253 0.404004i
\(34\) −2.07215 2.07215i −0.355371 0.355371i
\(35\) 6.52952 8.19436i 1.10369 1.38510i
\(36\) 1.68622 + 0.973539i 0.281037 + 0.162257i
\(37\) 1.14379 + 4.26868i 0.188038 + 0.701766i 0.993960 + 0.109745i \(0.0350033\pi\)
−0.805922 + 0.592022i \(0.798330\pi\)
\(38\) 1.07864 0.174979
\(39\) 2.70398 + 3.10081i 0.432983 + 0.496528i
\(40\) 11.5112i 1.82008i
\(41\) −1.85922 6.93869i −0.290361 1.08364i −0.944832 0.327555i \(-0.893775\pi\)
0.654472 0.756087i \(-0.272891\pi\)
\(42\) 2.75775 + 0.414555i 0.425531 + 0.0639673i
\(43\) −1.91410 + 1.10511i −0.291897 + 0.168527i −0.638797 0.769375i \(-0.720568\pi\)
0.346900 + 0.937902i \(0.387234\pi\)
\(44\) −1.70737 1.70737i −0.257396 0.257396i
\(45\) −6.49513 1.74036i −0.968236 0.259438i
\(46\) −3.36305 0.901126i −0.495854 0.132864i
\(47\) 8.21804 + 8.21804i 1.19872 + 1.19872i 0.974549 + 0.224176i \(0.0719690\pi\)
0.224176 + 0.974549i \(0.428031\pi\)
\(48\) 0.386980 0.223423i 0.0558558 0.0322484i
\(49\) 6.82327 1.56301i 0.974753 0.223288i
\(50\) 2.55413 + 9.53214i 0.361208 + 1.34805i
\(51\) 3.61995i 0.506894i
\(52\) 4.05735 0.795223i 0.562654 0.110278i
\(53\) 4.89260 0.672050 0.336025 0.941853i \(-0.390917\pi\)
0.336025 + 0.941853i \(0.390917\pi\)
\(54\) −1.28163 4.78313i −0.174408 0.650901i
\(55\) 7.22161 + 4.16940i 0.973762 + 0.562202i
\(56\) 4.79257 6.01454i 0.640434 0.803727i
\(57\) 0.942169 + 0.942169i 0.124793 + 0.124793i
\(58\) 0.279671 1.04375i 0.0367226 0.137051i
\(59\) −0.0633920 + 0.236582i −0.00825293 + 0.0308004i −0.969930 0.243386i \(-0.921742\pi\)
0.961677 + 0.274186i \(0.0884085\pi\)
\(60\) 3.66413 3.66413i 0.473037 0.473037i
\(61\) −10.7114 + 6.18424i −1.37146 + 0.791811i −0.991111 0.133034i \(-0.957528\pi\)
−0.380345 + 0.924845i \(0.624195\pi\)
\(62\) 2.33694 4.04770i 0.296791 0.514058i
\(63\) −2.66908 3.61351i −0.336273 0.455259i
\(64\) 5.81913i 0.727392i
\(65\) −12.8239 + 6.27933i −1.59060 + 0.778855i
\(66\) 2.21945i 0.273195i
\(67\) −9.95481 + 2.66738i −1.21617 + 0.325873i −0.809182 0.587559i \(-0.800089\pi\)
−0.406992 + 0.913432i \(0.633422\pi\)
\(68\) −3.15048 1.81893i −0.382052 0.220578i
\(69\) −2.15043 3.72465i −0.258881 0.448396i
\(70\) −3.86690 + 8.87256i −0.462183 + 1.06047i
\(71\) 1.60477 5.98907i 0.190451 0.710772i −0.802947 0.596051i \(-0.796736\pi\)
0.993398 0.114722i \(-0.0365976\pi\)
\(72\) −4.76733 1.27740i −0.561835 0.150543i
\(73\) 3.47893 + 3.47893i 0.407178 + 0.407178i 0.880753 0.473575i \(-0.157037\pi\)
−0.473575 + 0.880753i \(0.657037\pi\)
\(74\) −2.04111 3.53530i −0.237274 0.410971i
\(75\) −6.09513 + 10.5571i −0.703804 + 1.21903i
\(76\) 1.29340 0.346564i 0.148363 0.0397537i
\(77\) 2.03737 + 5.18512i 0.232179 + 0.590900i
\(78\) −3.15399 2.12026i −0.357119 0.240072i
\(79\) −2.69680 −0.303413 −0.151707 0.988426i \(-0.548477\pi\)
−0.151707 + 0.988426i \(0.548477\pi\)
\(80\) 0.401383 + 1.49798i 0.0448760 + 0.167479i
\(81\) 0.511532 0.886000i 0.0568369 0.0984444i
\(82\) 3.31780 + 5.74660i 0.366390 + 0.634605i
\(83\) −3.31162 + 3.31162i −0.363497 + 0.363497i −0.865099 0.501602i \(-0.832744\pi\)
0.501602 + 0.865099i \(0.332744\pi\)
\(84\) 3.44001 0.388966i 0.375336 0.0424397i
\(85\) 12.1353 + 3.25165i 1.31626 + 0.352691i
\(86\) 1.44366 1.44366i 0.155674 0.155674i
\(87\) 1.15597 0.667402i 0.123933 0.0715530i
\(88\) 5.30055 + 3.06028i 0.565041 + 0.326226i
\(89\) −6.71890 + 1.80032i −0.712202 + 0.190834i −0.596690 0.802472i \(-0.703518\pi\)
−0.115512 + 0.993306i \(0.536851\pi\)
\(90\) 6.21141 0.654740
\(91\) −9.31472 2.05816i −0.976448 0.215754i
\(92\) −4.32215 −0.450615
\(93\) 5.57683 1.49431i 0.578290 0.154952i
\(94\) −9.29737 5.36784i −0.958951 0.553651i
\(95\) −4.00478 + 2.31216i −0.410882 + 0.237223i
\(96\) 4.39876 4.39876i 0.448947 0.448947i
\(97\) 15.8523 + 4.24762i 1.60956 + 0.431280i 0.947912 0.318533i \(-0.103190\pi\)
0.661649 + 0.749814i \(0.269857\pi\)
\(98\) −5.71443 + 3.02592i −0.577244 + 0.305664i
\(99\) 2.52812 2.52812i 0.254086 0.254086i
\(100\) 6.12529 + 10.6093i 0.612529 + 1.06093i
\(101\) 1.81015 3.13527i 0.180116 0.311971i −0.761804 0.647808i \(-0.775686\pi\)
0.941920 + 0.335837i \(0.109019\pi\)
\(102\) 0.865456 + 3.22993i 0.0856930 + 0.319810i
\(103\) 1.59074 0.156740 0.0783700 0.996924i \(-0.475028\pi\)
0.0783700 + 0.996924i \(0.475028\pi\)
\(104\) −9.41252 + 4.60893i −0.922973 + 0.451943i
\(105\) −11.1276 + 4.37232i −1.08594 + 0.426695i
\(106\) −4.36545 + 1.16972i −0.424010 + 0.113613i
\(107\) 7.44322 12.8920i 0.719563 1.24632i −0.241610 0.970373i \(-0.577676\pi\)
0.961173 0.275946i \(-0.0889911\pi\)
\(108\) −3.07361 5.32364i −0.295758 0.512268i
\(109\) −2.37380 2.37380i −0.227368 0.227368i 0.584224 0.811592i \(-0.301399\pi\)
−0.811592 + 0.584224i \(0.801399\pi\)
\(110\) −7.44035 1.99364i −0.709410 0.190086i
\(111\) 1.30514 4.87086i 0.123879 0.462322i
\(112\) −0.413948 + 0.949798i −0.0391144 + 0.0897474i
\(113\) −4.88202 8.45591i −0.459262 0.795465i 0.539660 0.841883i \(-0.318553\pi\)
−0.998922 + 0.0464177i \(0.985219\pi\)
\(114\) −1.06591 0.615404i −0.0998317 0.0576378i
\(115\) 14.4180 3.86328i 1.34448 0.360253i
\(116\) 1.34141i 0.124547i
\(117\) 1.17750 + 6.00777i 0.108859 + 0.555419i
\(118\) 0.226248i 0.0208278i
\(119\) 4.98684 + 6.75137i 0.457143 + 0.618897i
\(120\) −6.56755 + 11.3753i −0.599533 + 1.03842i
\(121\) 5.68652 3.28312i 0.516957 0.298465i
\(122\) 8.07881 8.07881i 0.731422 0.731422i
\(123\) −2.12150 + 7.91753i −0.191289 + 0.713900i
\(124\) 1.50170 5.60443i 0.134857 0.503292i
\(125\) −15.9145 15.9145i −1.42343 1.42343i
\(126\) 3.24543 + 2.58605i 0.289125 + 0.230384i
\(127\) −6.81869 3.93677i −0.605061 0.349332i 0.165969 0.986131i \(-0.446925\pi\)
−0.771030 + 0.636799i \(0.780258\pi\)
\(128\) −1.43078 5.33974i −0.126464 0.471971i
\(129\) 2.52201 0.222050
\(130\) 9.94092 8.66870i 0.871876 0.760295i
\(131\) 2.11827i 0.185074i 0.995709 + 0.0925369i \(0.0294976\pi\)
−0.995709 + 0.0925369i \(0.970502\pi\)
\(132\) 0.713102 + 2.66133i 0.0620676 + 0.231639i
\(133\) −3.05512 0.459256i −0.264912 0.0398225i
\(134\) 8.24454 4.75999i 0.712220 0.411200i
\(135\) 15.0115 + 15.0115i 1.29198 + 1.29198i
\(136\) 8.90714 + 2.38666i 0.763781 + 0.204654i
\(137\) 11.2878 + 3.02455i 0.964380 + 0.258405i 0.706453 0.707760i \(-0.250294\pi\)
0.257927 + 0.966164i \(0.416961\pi\)
\(138\) 2.80923 + 2.80923i 0.239137 + 0.239137i
\(139\) 3.88166 2.24108i 0.329238 0.190086i −0.326265 0.945278i \(-0.605790\pi\)
0.655503 + 0.755193i \(0.272457\pi\)
\(140\) −1.78606 + 11.8815i −0.150950 + 1.00417i
\(141\) −3.43235 12.8097i −0.289056 1.07877i
\(142\) 5.72746i 0.480638i
\(143\) 0.517810 7.57435i 0.0433014 0.633399i
\(144\) 0.664925 0.0554104
\(145\) 1.19900 + 4.47472i 0.0995713 + 0.371605i
\(146\) −3.93584 2.27236i −0.325733 0.188062i
\(147\) −7.63448 2.34835i −0.629681 0.193689i
\(148\) −3.58337 3.58337i −0.294551 0.294551i
\(149\) 1.17909 4.40044i 0.0965951 0.360498i −0.900661 0.434522i \(-0.856917\pi\)
0.997256 + 0.0740238i \(0.0235841\pi\)
\(150\) 2.91444 10.8768i 0.237963 0.888090i
\(151\) −10.7103 + 10.7103i −0.871595 + 0.871595i −0.992646 0.121051i \(-0.961373\pi\)
0.121051 + 0.992646i \(0.461373\pi\)
\(152\) −2.93945 + 1.69709i −0.238421 + 0.137652i
\(153\) 2.69331 4.66496i 0.217742 0.377140i
\(154\) −3.05751 4.13937i −0.246381 0.333560i
\(155\) 20.0377i 1.60947i
\(156\) −4.46316 1.52903i −0.357339 0.122420i
\(157\) 13.9799i 1.11572i −0.829936 0.557858i \(-0.811623\pi\)
0.829936 0.557858i \(-0.188377\pi\)
\(158\) 2.40624 0.644749i 0.191430 0.0512935i
\(159\) −4.83484 2.79140i −0.383428 0.221372i
\(160\) 10.7949 + 18.6974i 0.853415 + 1.47816i
\(161\) 9.14173 + 3.98422i 0.720469 + 0.314000i
\(162\) −0.244594 + 0.912837i −0.0192171 + 0.0717192i
\(163\) −22.5398 6.03953i −1.76546 0.473052i −0.777644 0.628705i \(-0.783585\pi\)
−0.987812 + 0.155653i \(0.950252\pi\)
\(164\) 5.82472 + 5.82472i 0.454834 + 0.454834i
\(165\) −4.75758 8.24037i −0.370377 0.641512i
\(166\) 2.16307 3.74655i 0.167887 0.290789i
\(167\) −10.8156 + 2.89803i −0.836935 + 0.224256i −0.651737 0.758445i \(-0.725959\pi\)
−0.185198 + 0.982701i \(0.559293\pi\)
\(168\) −8.16750 + 3.20922i −0.630137 + 0.247596i
\(169\) 10.2690 + 7.97168i 0.789923 + 0.613207i
\(170\) −11.6052 −0.890080
\(171\) 0.513162 + 1.91515i 0.0392425 + 0.146455i
\(172\) 1.26724 2.19493i 0.0966264 0.167362i
\(173\) 1.66428 + 2.88262i 0.126533 + 0.219162i 0.922331 0.386400i \(-0.126282\pi\)
−0.795798 + 0.605562i \(0.792948\pi\)
\(174\) −0.871864 + 0.871864i −0.0660959 + 0.0660959i
\(175\) −3.17572 28.0860i −0.240062 2.12310i
\(176\) −0.796482 0.213417i −0.0600371 0.0160869i
\(177\) 0.197622 0.197622i 0.0148542 0.0148542i
\(178\) 5.56457 3.21270i 0.417082 0.240802i
\(179\) −0.221300 0.127768i −0.0165407 0.00954980i 0.491707 0.870761i \(-0.336373\pi\)
−0.508248 + 0.861211i \(0.669707\pi\)
\(180\) 7.44808 1.99571i 0.555147 0.148751i
\(181\) −7.65115 −0.568705 −0.284353 0.958720i \(-0.591779\pi\)
−0.284353 + 0.958720i \(0.591779\pi\)
\(182\) 8.80319 0.390552i 0.652536 0.0289496i
\(183\) 14.1133 1.04329
\(184\) 10.5826 2.83559i 0.780157 0.209042i
\(185\) 15.1564 + 8.75057i 1.11432 + 0.643355i
\(186\) −4.61871 + 2.66661i −0.338660 + 0.195525i
\(187\) −4.72347 + 4.72347i −0.345415 + 0.345415i
\(188\) −12.8731 3.44934i −0.938868 0.251569i
\(189\) 1.59354 + 14.0933i 0.115913 + 1.02514i
\(190\) 3.02050 3.02050i 0.219130 0.219130i
\(191\) 7.25535 + 12.5666i 0.524978 + 0.909289i 0.999577 + 0.0290868i \(0.00925993\pi\)
−0.474599 + 0.880202i \(0.657407\pi\)
\(192\) −3.32002 + 5.75045i −0.239602 + 0.415003i
\(193\) 2.08340 + 7.77536i 0.149966 + 0.559682i 0.999484 + 0.0321220i \(0.0102265\pi\)
−0.849518 + 0.527560i \(0.823107\pi\)
\(194\) −15.1599 −1.08842
\(195\) 16.2551 + 1.11125i 1.16405 + 0.0795785i
\(196\) −5.87993 + 5.46439i −0.419995 + 0.390314i
\(197\) 6.28115 1.68303i 0.447514 0.119911i −0.0280221 0.999607i \(-0.508921\pi\)
0.475536 + 0.879696i \(0.342254\pi\)
\(198\) −1.65131 + 2.86016i −0.117354 + 0.203263i
\(199\) −3.53990 6.13129i −0.250937 0.434636i 0.712847 0.701320i \(-0.247405\pi\)
−0.963784 + 0.266684i \(0.914072\pi\)
\(200\) −21.9578 21.9578i −1.55265 1.55265i
\(201\) 11.3591 + 3.04367i 0.801212 + 0.214684i
\(202\) −0.865539 + 3.23023i −0.0608991 + 0.227279i
\(203\) −1.23653 + 2.83720i −0.0867875 + 0.199133i
\(204\) 2.07553 + 3.59493i 0.145316 + 0.251695i
\(205\) −24.6366 14.2240i −1.72070 0.993445i
\(206\) −1.41935 + 0.380313i −0.0988906 + 0.0264977i
\(207\) 6.39985i 0.444820i
\(208\) 1.06416 0.927975i 0.0737866 0.0643435i
\(209\) 2.45877i 0.170077i
\(210\) 8.88336 6.56162i 0.613010 0.452795i
\(211\) −3.81923 + 6.61509i −0.262926 + 0.455402i −0.967018 0.254707i \(-0.918021\pi\)
0.704092 + 0.710109i \(0.251354\pi\)
\(212\) −4.85877 + 2.80521i −0.333702 + 0.192663i
\(213\) −5.00280 + 5.00280i −0.342786 + 0.342786i
\(214\) −3.55904 + 13.2825i −0.243291 + 0.907975i
\(215\) −2.26541 + 8.45462i −0.154500 + 0.576601i
\(216\) 11.0182 + 11.0182i 0.749694 + 0.749694i
\(217\) −8.34247 + 10.4696i −0.566324 + 0.710721i
\(218\) 2.68556 + 1.55051i 0.181889 + 0.105014i
\(219\) −1.45301 5.42272i −0.0981855 0.366433i
\(220\) −9.56225 −0.644686
\(221\) −2.20000 11.2247i −0.147988 0.755058i
\(222\) 4.65810i 0.312631i
\(223\) −1.74359 6.50716i −0.116759 0.435752i 0.882653 0.470025i \(-0.155755\pi\)
−0.999413 + 0.0342732i \(0.989088\pi\)
\(224\) −2.14416 + 14.2636i −0.143263 + 0.953029i
\(225\) −15.7093 + 9.06979i −1.04729 + 0.604652i
\(226\) 6.37766 + 6.37766i 0.424235 + 0.424235i
\(227\) −15.6325 4.18872i −1.03757 0.278015i −0.300462 0.953794i \(-0.597141\pi\)
−0.737105 + 0.675778i \(0.763808\pi\)
\(228\) −1.47586 0.395455i −0.0977410 0.0261896i
\(229\) −13.8720 13.8720i −0.916689 0.916689i 0.0800979 0.996787i \(-0.474477\pi\)
−0.996787 + 0.0800979i \(0.974477\pi\)
\(230\) −11.9409 + 6.89408i −0.787359 + 0.454582i
\(231\) 0.944980 6.28631i 0.0621751 0.413609i
\(232\) 0.880046 + 3.28438i 0.0577778 + 0.215630i
\(233\) 11.1033i 0.727402i 0.931516 + 0.363701i \(0.118487\pi\)
−0.931516 + 0.363701i \(0.881513\pi\)
\(234\) −2.48696 5.07896i −0.162578 0.332022i
\(235\) 46.0257 3.00238
\(236\) −0.0726927 0.271293i −0.00473189 0.0176597i
\(237\) 2.66496 + 1.53862i 0.173108 + 0.0999439i
\(238\) −6.06366 4.83171i −0.393049 0.313193i
\(239\) −18.0241 18.0241i −1.16588 1.16588i −0.983166 0.182716i \(-0.941511\pi\)
−0.182716 0.983166i \(-0.558489\pi\)
\(240\) 0.458006 1.70930i 0.0295642 0.110335i
\(241\) −6.58419 + 24.5725i −0.424125 + 1.58286i 0.341701 + 0.939809i \(0.388997\pi\)
−0.765826 + 0.643048i \(0.777670\pi\)
\(242\) −4.28892 + 4.28892i −0.275702 + 0.275702i
\(243\) 12.9165 7.45736i 0.828595 0.478390i
\(244\) 7.09158 12.2830i 0.453992 0.786337i
\(245\) 14.7302 23.4840i 0.941078 1.50034i
\(246\) 7.57168i 0.482753i
\(247\) 3.49407 + 2.34888i 0.222323 + 0.149456i
\(248\) 14.7074i 0.933919i
\(249\) 5.16192 1.38313i 0.327123 0.0876524i
\(250\) 18.0046 + 10.3950i 1.13871 + 0.657437i
\(251\) −3.01219 5.21727i −0.190128 0.329311i 0.755165 0.655535i \(-0.227557\pi\)
−0.945292 + 0.326224i \(0.894224\pi\)
\(252\) 4.72247 + 2.05818i 0.297487 + 0.129653i
\(253\) −2.05412 + 7.66608i −0.129141 + 0.481962i
\(254\) 7.02523 + 1.88240i 0.440802 + 0.118113i
\(255\) −10.1369 10.1369i −0.634796 0.634796i
\(256\) 8.37238 + 14.5014i 0.523274 + 0.906337i
\(257\) 12.2067 21.1426i 0.761434 1.31884i −0.180678 0.983542i \(-0.557829\pi\)
0.942112 0.335300i \(-0.108838\pi\)
\(258\) −2.25028 + 0.602960i −0.140096 + 0.0375387i
\(259\) 4.27595 + 10.8823i 0.265694 + 0.676196i
\(260\) 9.13489 13.5886i 0.566522 0.842728i
\(261\) 1.98624 0.122945
\(262\) −0.506434 1.89004i −0.0312876 0.116767i
\(263\) 7.57042 13.1123i 0.466812 0.808542i −0.532469 0.846449i \(-0.678736\pi\)
0.999281 + 0.0379074i \(0.0120692\pi\)
\(264\) −3.49199 6.04831i −0.214917 0.372247i
\(265\) 13.7007 13.7007i 0.841624 0.841624i
\(266\) 2.83575 0.320642i 0.173871 0.0196598i
\(267\) 7.66674 + 2.05430i 0.469197 + 0.125721i
\(268\) 8.35662 8.35662i 0.510462 0.510462i
\(269\) 3.06678 1.77061i 0.186985 0.107956i −0.403585 0.914942i \(-0.632236\pi\)
0.590570 + 0.806986i \(0.298903\pi\)
\(270\) −16.9830 9.80516i −1.03356 0.596723i
\(271\) −0.730396 + 0.195709i −0.0443684 + 0.0118885i −0.280935 0.959727i \(-0.590645\pi\)
0.236567 + 0.971615i \(0.423978\pi\)
\(272\) −1.24233 −0.0753271
\(273\) 8.03052 + 7.34824i 0.486029 + 0.444736i
\(274\) −10.7947 −0.652133
\(275\) 21.7285 5.82214i 1.31028 0.351088i
\(276\) 4.27113 + 2.46594i 0.257092 + 0.148432i
\(277\) −9.03071 + 5.21388i −0.542603 + 0.313272i −0.746133 0.665797i \(-0.768092\pi\)
0.203530 + 0.979069i \(0.434758\pi\)
\(278\) −2.92764 + 2.92764i −0.175588 + 0.175588i
\(279\) 8.29854 + 2.22359i 0.496820 + 0.133123i
\(280\) −3.42187 30.2630i −0.204496 1.80856i
\(281\) −18.1394 + 18.1394i −1.08211 + 1.08211i −0.0857959 + 0.996313i \(0.527343\pi\)
−0.996313 + 0.0857959i \(0.972657\pi\)
\(282\) 6.12509 + 10.6090i 0.364744 + 0.631754i
\(283\) 0.0246100 0.0426257i 0.00146291 0.00253383i −0.865293 0.501266i \(-0.832868\pi\)
0.866756 + 0.498733i \(0.166201\pi\)
\(284\) 1.84022 + 6.86778i 0.109197 + 0.407528i
\(285\) 5.27668 0.312563
\(286\) 1.34885 + 6.88207i 0.0797594 + 0.406945i
\(287\) −6.95050 17.6891i −0.410275 1.04416i
\(288\) 8.94137 2.39583i 0.526875 0.141176i
\(289\) 3.46789 6.00656i 0.203993 0.353327i
\(290\) −2.13963 3.70594i −0.125643 0.217621i
\(291\) −13.2418 13.2418i −0.776248 0.776248i
\(292\) −5.44956 1.46020i −0.318911 0.0854520i
\(293\) 4.26864 15.9308i 0.249377 0.930686i −0.721756 0.692147i \(-0.756665\pi\)
0.971133 0.238539i \(-0.0766685\pi\)
\(294\) 7.37336 + 0.270083i 0.430023 + 0.0157516i
\(295\) 0.484981 + 0.840012i 0.0282367 + 0.0489074i
\(296\) 11.1246 + 6.42279i 0.646604 + 0.373317i
\(297\) −10.9031 + 2.92149i −0.632665 + 0.169522i
\(298\) 4.20822i 0.243776i
\(299\) −8.93169 10.2425i −0.516533 0.592339i
\(300\) 13.9788i 0.807065i
\(301\) −4.70365 + 3.47431i −0.271114 + 0.200256i
\(302\) 6.99575 12.1170i 0.402560 0.697255i
\(303\) −3.57756 + 2.06551i −0.205526 + 0.118660i
\(304\) 0.323342 0.323342i 0.0185449 0.0185449i
\(305\) −12.6774 + 47.3126i −0.725905 + 2.70911i
\(306\) −1.28783 + 4.80626i −0.0736205 + 0.274756i
\(307\) 13.8117 + 13.8117i 0.788274 + 0.788274i 0.981211 0.192937i \(-0.0618012\pi\)
−0.192937 + 0.981211i \(0.561801\pi\)
\(308\) −4.99622 3.98114i −0.284686 0.226846i
\(309\) −1.57196 0.907572i −0.0894257 0.0516300i
\(310\) −4.79060 17.8788i −0.272088 1.01545i
\(311\) 4.51112 0.255802 0.127901 0.991787i \(-0.459176\pi\)
0.127901 + 0.991787i \(0.459176\pi\)
\(312\) 11.9310 + 0.815644i 0.675458 + 0.0461767i
\(313\) 30.9864i 1.75146i 0.482805 + 0.875728i \(0.339618\pi\)
−0.482805 + 0.875728i \(0.660382\pi\)
\(314\) 3.34231 + 12.4737i 0.188617 + 0.703929i
\(315\) −17.5930 2.64465i −0.991255 0.149009i
\(316\) 2.67815 1.54623i 0.150658 0.0869823i
\(317\) 4.33447 + 4.33447i 0.243448 + 0.243448i 0.818275 0.574827i \(-0.194931\pi\)
−0.574827 + 0.818275i \(0.694931\pi\)
\(318\) 4.98129 + 1.33473i 0.279337 + 0.0748481i
\(319\) −2.37922 0.637511i −0.133211 0.0356938i
\(320\) −16.2952 16.2952i −0.910931 0.910931i
\(321\) −14.7107 + 8.49323i −0.821072 + 0.474046i
\(322\) −9.10932 1.36935i −0.507643 0.0763106i
\(323\) −0.958777 3.57820i −0.0533478 0.199097i
\(324\) 1.17317i 0.0651759i
\(325\) −12.4838 + 36.4396i −0.692476 + 2.02131i
\(326\) 21.5553 1.19384
\(327\) 0.991442 + 3.70011i 0.0548268 + 0.204617i
\(328\) −18.0829 10.4402i −0.998462 0.576462i
\(329\) 24.0481 + 19.1623i 1.32582 + 1.05645i
\(330\) 6.21509 + 6.21509i 0.342129 + 0.342129i
\(331\) 4.32723 16.1494i 0.237846 0.887653i −0.739000 0.673706i \(-0.764701\pi\)
0.976845 0.213947i \(-0.0686319\pi\)
\(332\) 1.38998 5.18747i 0.0762849 0.284699i
\(333\) 5.30593 5.30593i 0.290763 0.290763i
\(334\) 8.95743 5.17157i 0.490129 0.282976i
\(335\) −20.4069 + 35.3457i −1.11495 + 1.93114i
\(336\) 0.950955 0.702414i 0.0518788 0.0383199i
\(337\) 12.4651i 0.679017i −0.940603 0.339508i \(-0.889739\pi\)
0.940603 0.339508i \(-0.110261\pi\)
\(338\) −11.0685 4.65769i −0.602044 0.253345i
\(339\) 11.1415i 0.605121i
\(340\) −13.9158 + 3.72872i −0.754689 + 0.202218i
\(341\) −9.22673 5.32706i −0.499656 0.288476i
\(342\) −0.915745 1.58612i −0.0495178 0.0857674i
\(343\) 17.4737 6.13748i 0.943493 0.331393i
\(344\) −1.66278 + 6.20557i −0.0896509 + 0.334582i
\(345\) −16.4519 4.40827i −0.885741 0.237333i
\(346\) −2.17414 2.17414i −0.116883 0.116883i
\(347\) −13.1263 22.7355i −0.704659 1.22050i −0.966815 0.255479i \(-0.917767\pi\)
0.262156 0.965026i \(-0.415566\pi\)
\(348\) −0.765322 + 1.32558i −0.0410256 + 0.0710583i
\(349\) 7.06951 1.89427i 0.378422 0.101398i −0.0645937 0.997912i \(-0.520575\pi\)
0.443016 + 0.896514i \(0.353908\pi\)
\(350\) 9.54836 + 24.3007i 0.510381 + 1.29893i
\(351\) 6.26423 18.2850i 0.334360 0.975982i
\(352\) −11.4794 −0.611855
\(353\) 7.05491 + 26.3293i 0.375495 + 1.40137i 0.852621 + 0.522530i \(0.175012\pi\)
−0.477126 + 0.878835i \(0.658321\pi\)
\(354\) −0.129082 + 0.223577i −0.00686065 + 0.0118830i
\(355\) −12.2773 21.2649i −0.651611 1.12862i
\(356\) 5.64022 5.64022i 0.298931 0.298931i
\(357\) −1.07608 9.51685i −0.0569523 0.503685i
\(358\) 0.228003 + 0.0610933i 0.0120503 + 0.00322888i
\(359\) −21.9668 + 21.9668i −1.15936 + 1.15936i −0.174749 + 0.984613i \(0.555911\pi\)
−0.984613 + 0.174749i \(0.944089\pi\)
\(360\) −16.9269 + 9.77278i −0.892128 + 0.515071i
\(361\) −15.2736 8.81824i −0.803876 0.464118i
\(362\) 6.82679 1.82923i 0.358808 0.0961424i
\(363\) −7.49254 −0.393256
\(364\) 10.4304 3.29675i 0.546701 0.172796i
\(365\) 19.4840 1.01984
\(366\) −12.5927 + 3.37420i −0.658231 + 0.176372i
\(367\) −21.7629 12.5648i −1.13601 0.655877i −0.190573 0.981673i \(-0.561035\pi\)
−0.945440 + 0.325796i \(0.894368\pi\)
\(368\) −1.27826 + 0.738004i −0.0666339 + 0.0384711i
\(369\) −8.62473 + 8.62473i −0.448986 + 0.448986i
\(370\) −15.6155 4.18417i −0.811813 0.217525i
\(371\) 12.8626 1.45439i 0.667794 0.0755084i
\(372\) −4.68150 + 4.68150i −0.242724 + 0.242724i
\(373\) 1.55410 + 2.69178i 0.0804683 + 0.139375i 0.903451 0.428691i \(-0.141025\pi\)
−0.822983 + 0.568066i \(0.807692\pi\)
\(374\) 3.08527 5.34384i 0.159535 0.276323i
\(375\) 6.64686 + 24.8064i 0.343242 + 1.28100i
\(376\) 33.7822 1.74218
\(377\) 3.17884 2.77202i 0.163718 0.142766i
\(378\) −4.79127 12.1938i −0.246436 0.627184i
\(379\) −4.35536 + 1.16702i −0.223720 + 0.0599456i −0.368938 0.929454i \(-0.620278\pi\)
0.145218 + 0.989400i \(0.453612\pi\)
\(380\) 2.65140 4.59235i 0.136014 0.235583i
\(381\) 4.49213 + 7.78060i 0.230139 + 0.398612i
\(382\) −9.47806 9.47806i −0.484940 0.484940i
\(383\) 32.4681 + 8.69980i 1.65904 + 0.444539i 0.962124 0.272611i \(-0.0878872\pi\)
0.696919 + 0.717150i \(0.254554\pi\)
\(384\) −1.63262 + 6.09302i −0.0833143 + 0.310933i
\(385\) 20.2250 + 8.81462i 1.03076 + 0.449234i
\(386\) −3.71786 6.43952i −0.189234 0.327763i
\(387\) 3.25006 + 1.87642i 0.165210 + 0.0953839i
\(388\) −18.1782 + 4.87082i −0.922856 + 0.247278i
\(389\) 20.6622i 1.04762i −0.851836 0.523809i \(-0.824511\pi\)
0.851836 0.523809i \(-0.175489\pi\)
\(390\) −14.7694 + 2.89473i −0.747876 + 0.146580i
\(391\) 11.9573i 0.604707i
\(392\) 10.8117 17.2369i 0.546076 0.870594i
\(393\) 1.20855 2.09326i 0.0609631 0.105591i
\(394\) −5.20203 + 3.00339i −0.262074 + 0.151309i
\(395\) −7.55179 + 7.55179i −0.379972 + 0.379972i
\(396\) −1.06112 + 3.96017i −0.0533235 + 0.199006i
\(397\) 1.90237 7.09973i 0.0954771 0.356325i −0.901614 0.432541i \(-0.857617\pi\)
0.997091 + 0.0762157i \(0.0242838\pi\)
\(398\) 4.62437 + 4.62437i 0.231799 + 0.231799i
\(399\) 2.75703 + 2.19689i 0.138024 + 0.109982i
\(400\) 3.62307 + 2.09178i 0.181153 + 0.104589i
\(401\) 0.371875 + 1.38785i 0.0185705 + 0.0693062i 0.974589 0.223999i \(-0.0719114\pi\)
−0.956019 + 0.293306i \(0.905245\pi\)
\(402\) −10.8630 −0.541795
\(403\) 16.3845 8.02282i 0.816169 0.399645i
\(404\) 4.15146i 0.206543i
\(405\) −1.04862 3.91348i −0.0521061 0.194463i
\(406\) 0.424986 2.82714i 0.0210917 0.140309i
\(407\) −8.05873 + 4.65271i −0.399457 + 0.230626i
\(408\) −7.44032 7.44032i −0.368351 0.368351i
\(409\) 6.67192 + 1.78773i 0.329905 + 0.0883978i 0.419970 0.907538i \(-0.362041\pi\)
−0.0900646 + 0.995936i \(0.528707\pi\)
\(410\) 25.3829 + 6.80132i 1.25357 + 0.335893i
\(411\) −9.42893 9.42893i −0.465095 0.465095i
\(412\) −1.57974 + 0.912063i −0.0778282 + 0.0449341i
\(413\) −0.0963301 + 0.640818i −0.00474009 + 0.0315326i
\(414\) 1.53007 + 5.71031i 0.0751990 + 0.280647i
\(415\) 18.5469i 0.910433i
\(416\) 10.9664 16.3130i 0.537671 0.799811i
\(417\) −5.11445 −0.250456
\(418\) 0.587842 + 2.19385i 0.0287523 + 0.107305i
\(419\) 7.98102 + 4.60785i 0.389899 + 0.225108i 0.682116 0.731244i \(-0.261060\pi\)
−0.292218 + 0.956352i \(0.594393\pi\)
\(420\) 8.54378 10.7222i 0.416894 0.523190i
\(421\) 9.26432 + 9.26432i 0.451515 + 0.451515i 0.895857 0.444342i \(-0.146562\pi\)
−0.444342 + 0.895857i \(0.646562\pi\)
\(422\) 1.82620 6.81547i 0.0888980 0.331772i
\(423\) 5.10748 19.0614i 0.248334 0.926795i
\(424\) 10.0561 10.0561i 0.488366 0.488366i
\(425\) 29.3509 16.9457i 1.42373 0.821989i
\(426\) 3.26772 5.65985i 0.158321 0.274221i
\(427\) −26.3219 + 19.4425i −1.27381 + 0.940888i
\(428\) 17.0705i 0.825136i
\(429\) −4.83313 + 7.18952i −0.233346 + 0.347113i
\(430\) 8.08531i 0.389908i
\(431\) −6.28475 + 1.68399i −0.302726 + 0.0811152i −0.406985 0.913435i \(-0.633420\pi\)
0.104259 + 0.994550i \(0.466753\pi\)
\(432\) −1.81802 1.04963i −0.0874694 0.0505005i
\(433\) −12.5684 21.7691i −0.604000 1.04616i −0.992209 0.124587i \(-0.960239\pi\)
0.388209 0.921571i \(-0.373094\pi\)
\(434\) 4.94057 11.3361i 0.237155 0.544149i
\(435\) 1.36814 5.10597i 0.0655973 0.244812i
\(436\) 3.71842 + 0.996348i 0.178080 + 0.0477164i
\(437\) −3.11214 3.11214i −0.148874 0.148874i
\(438\) 2.59292 + 4.49107i 0.123895 + 0.214592i
\(439\) 8.84493 15.3199i 0.422145 0.731177i −0.574004 0.818853i \(-0.694610\pi\)
0.996149 + 0.0876754i \(0.0279438\pi\)
\(440\) 23.4127 6.27341i 1.11616 0.299073i
\(441\) −8.09119 8.70648i −0.385295 0.414594i
\(442\) 4.64657 + 9.48939i 0.221015 + 0.451364i
\(443\) −14.3391 −0.681271 −0.340635 0.940195i \(-0.610642\pi\)
−0.340635 + 0.940195i \(0.610642\pi\)
\(444\) 1.49663 + 5.58551i 0.0710270 + 0.265076i
\(445\) −13.7734 + 23.8562i −0.652922 + 1.13089i
\(446\) 3.11146 + 5.38920i 0.147332 + 0.255186i
\(447\) −3.67578 + 3.67578i −0.173858 + 0.173858i
\(448\) −1.72982 15.2985i −0.0817263 0.722786i
\(449\) −2.82768 0.757676i −0.133447 0.0357569i 0.191477 0.981497i \(-0.438672\pi\)
−0.324924 + 0.945740i \(0.605339\pi\)
\(450\) 11.8484 11.8484i 0.558537 0.558537i
\(451\) 13.0994 7.56293i 0.616826 0.356124i
\(452\) 9.69655 + 5.59830i 0.456087 + 0.263322i
\(453\) 16.6945 4.47329i 0.784378 0.210173i
\(454\) 14.9497 0.701623
\(455\) −31.8473 + 20.3204i −1.49302 + 0.952636i
\(456\) 3.87300 0.181370
\(457\) 23.5373 6.30680i 1.10103 0.295020i 0.337845 0.941202i \(-0.390302\pi\)
0.763183 + 0.646182i \(0.223635\pi\)
\(458\) 15.6939 + 9.06090i 0.733329 + 0.423388i
\(459\) −14.7280 + 8.50319i −0.687442 + 0.396895i
\(460\) −12.1032 + 12.1032i −0.564316 + 0.564316i
\(461\) −20.1416 5.39694i −0.938090 0.251360i −0.242789 0.970079i \(-0.578062\pi\)
−0.695301 + 0.718719i \(0.744729\pi\)
\(462\) 0.659763 + 5.83493i 0.0306950 + 0.271465i
\(463\) 8.98662 8.98662i 0.417644 0.417644i −0.466747 0.884391i \(-0.654574\pi\)
0.884391 + 0.466747i \(0.154574\pi\)
\(464\) −0.229045 0.396717i −0.0106331 0.0184171i
\(465\) 11.4322 19.8012i 0.530156 0.918257i
\(466\) −2.65458 9.90701i −0.122971 0.458933i
\(467\) −23.1041 −1.06913 −0.534566 0.845127i \(-0.679525\pi\)
−0.534566 + 0.845127i \(0.679525\pi\)
\(468\) −4.61396 5.29111i −0.213281 0.244582i
\(469\) −25.3783 + 9.97176i −1.17186 + 0.460453i
\(470\) −41.0668 + 11.0038i −1.89427 + 0.507568i
\(471\) −7.97602 + 13.8149i −0.367516 + 0.636556i
\(472\) 0.355969 + 0.616557i 0.0163848 + 0.0283793i
\(473\) −3.29083 3.29083i −0.151312 0.151312i
\(474\) −2.74568 0.735704i −0.126113 0.0337920i
\(475\) −3.22870 + 12.0497i −0.148143 + 0.552877i
\(476\) −8.82332 3.84545i −0.404416 0.176256i
\(477\) −4.15371 7.19444i −0.190185 0.329411i
\(478\) 20.3913 + 11.7729i 0.932678 + 0.538482i
\(479\) 10.6889 2.86408i 0.488388 0.130863i −0.00621763 0.999981i \(-0.501979\pi\)
0.494606 + 0.869117i \(0.335312\pi\)
\(480\) 24.6356i 1.12445i
\(481\) 1.08676 15.8968i 0.0495520 0.724830i
\(482\) 23.4992i 1.07036i
\(483\) −6.76069 9.15287i −0.307622 0.416470i
\(484\) −3.76481 + 6.52084i −0.171128 + 0.296402i
\(485\) 56.2856 32.4965i 2.55580 1.47559i
\(486\) −9.74196 + 9.74196i −0.441904 + 0.441904i
\(487\) 8.07996 30.1548i 0.366138 1.36644i −0.499734 0.866179i \(-0.666569\pi\)
0.865872 0.500266i \(-0.166764\pi\)
\(488\) −9.30501 + 34.7268i −0.421218 + 1.57201i
\(489\) 18.8280 + 18.8280i 0.851432 + 0.851432i
\(490\) −7.52859 + 24.4754i −0.340107 + 1.10569i
\(491\) 19.5025 + 11.2598i 0.880137 + 0.508147i 0.870704 0.491808i \(-0.163664\pi\)
0.00943333 + 0.999956i \(0.496997\pi\)
\(492\) −2.43276 9.07918i −0.109677 0.409321i
\(493\) −3.71104 −0.167137
\(494\) −3.67918 1.26045i −0.165534 0.0567101i
\(495\) 14.1589i 0.636396i
\(496\) −0.512829 1.91390i −0.0230267 0.0859368i
\(497\) 2.43859 16.2223i 0.109386 0.727670i
\(498\) −4.27508 + 2.46822i −0.191571 + 0.110604i
\(499\) 16.1319 + 16.1319i 0.722165 + 0.722165i 0.969046 0.246881i \(-0.0794056\pi\)
−0.246881 + 0.969046i \(0.579406\pi\)
\(500\) 24.9292 + 6.67975i 1.11487 + 0.298728i
\(501\) 12.3414 + 3.30686i 0.551371 + 0.147739i
\(502\) 3.93499 + 3.93499i 0.175627 + 0.175627i
\(503\) 3.72935 2.15314i 0.166283 0.0960037i −0.414549 0.910027i \(-0.636061\pi\)
0.580832 + 0.814023i \(0.302727\pi\)
\(504\) −12.9130 1.94113i −0.575192 0.0864648i
\(505\) −3.71071 13.8486i −0.165124 0.616253i
\(506\) 7.33121i 0.325912i
\(507\) −5.59965 13.7364i −0.248689 0.610055i
\(508\) 9.02873 0.400585
\(509\) −7.01539 26.1818i −0.310952 1.16049i −0.927700 0.373327i \(-0.878217\pi\)
0.616748 0.787161i \(-0.288450\pi\)
\(510\) 11.4682 + 6.62119i 0.507822 + 0.293191i
\(511\) 10.1803 + 8.11194i 0.450348 + 0.358851i
\(512\) −3.11938 3.11938i −0.137858 0.137858i
\(513\) 1.62013 6.04640i 0.0715304 0.266955i
\(514\) −5.83675 + 21.7831i −0.257448 + 0.960809i
\(515\) 4.45451 4.45451i 0.196289 0.196289i
\(516\) −2.50457 + 1.44601i −0.110258 + 0.0636572i
\(517\) −12.2360 + 21.1934i −0.538139 + 0.932084i
\(518\) −6.41699 8.68756i −0.281946 0.381709i
\(519\) 3.79813i 0.166719i
\(520\) −13.4514 + 39.2640i −0.589883 + 1.72184i
\(521\) 13.9696i 0.612021i −0.952028 0.306011i \(-0.901006\pi\)
0.952028 0.306011i \(-0.0989943\pi\)
\(522\) −1.77224 + 0.474870i −0.0775688 + 0.0207845i
\(523\) 35.9424 + 20.7514i 1.57165 + 0.907394i 0.995967 + 0.0897221i \(0.0285979\pi\)
0.575685 + 0.817672i \(0.304735\pi\)
\(524\) −1.21453 2.10362i −0.0530569 0.0918972i
\(525\) −12.8858 + 29.5664i −0.562384 + 1.29038i
\(526\) −3.61986 + 13.5095i −0.157834 + 0.589043i
\(527\) −15.5047 4.15449i −0.675398 0.180972i
\(528\) 0.665318 + 0.665318i 0.0289543 + 0.0289543i
\(529\) −4.39677 7.61543i −0.191164 0.331106i
\(530\) −8.94896 + 15.5001i −0.388718 + 0.673279i
\(531\) 0.401707 0.107637i 0.0174326 0.00467105i
\(532\) 3.29732 1.29560i 0.142957 0.0561713i
\(533\) −1.76652 + 25.8400i −0.0765163 + 1.11926i
\(534\) −7.33185 −0.317280
\(535\) −15.2582 56.9444i −0.659670 2.46192i
\(536\) −14.9783 + 25.9432i −0.646965 + 1.12058i
\(537\) 0.145792 + 0.252519i 0.00629139 + 0.0108970i
\(538\) −2.31304 + 2.31304i −0.0997223 + 0.0997223i
\(539\) 6.89758 + 13.0260i 0.297100 + 0.561072i
\(540\) −23.5147 6.30074i −1.01191 0.271141i
\(541\) −4.41830 + 4.41830i −0.189957 + 0.189957i −0.795678 0.605720i \(-0.792885\pi\)
0.605720 + 0.795678i \(0.292885\pi\)
\(542\) 0.604911 0.349246i 0.0259832 0.0150014i
\(543\) 7.56083 + 4.36525i 0.324466 + 0.187331i
\(544\) −16.7058 + 4.47630i −0.716255 + 0.191920i
\(545\) −13.2946 −0.569478
\(546\) −8.92210 4.63659i −0.381831 0.198428i
\(547\) −25.9633 −1.11011 −0.555055 0.831814i \(-0.687303\pi\)
−0.555055 + 0.831814i \(0.687303\pi\)
\(548\) −12.9439 + 3.46831i −0.552936 + 0.148159i
\(549\) 18.1875 + 10.5006i 0.776225 + 0.448154i
\(550\) −17.9955 + 10.3897i −0.767330 + 0.443018i
\(551\) 0.965876 0.965876i 0.0411477 0.0411477i
\(552\) −12.0755 3.23561i −0.513965 0.137717i
\(553\) −7.08987 + 0.801661i −0.301492 + 0.0340901i
\(554\) 6.81118 6.81118i 0.289379 0.289379i
\(555\) −9.98502 17.2946i −0.423841 0.734113i
\(556\) −2.56988 + 4.45117i −0.108987 + 0.188772i
\(557\) 7.96866 + 29.7395i 0.337643 + 1.26010i 0.900975 + 0.433870i \(0.142852\pi\)
−0.563332 + 0.826230i \(0.690481\pi\)
\(558\) −7.93604 −0.335960
\(559\) 7.82024 1.53273i 0.330761 0.0648276i
\(560\) 1.50053 + 3.81887i 0.0634090 + 0.161377i
\(561\) 7.36263 1.97281i 0.310850 0.0832921i
\(562\) 11.8483 20.5218i 0.499790 0.865661i
\(563\) 16.1301 + 27.9382i 0.679804 + 1.17745i 0.975040 + 0.222030i \(0.0712683\pi\)
−0.295236 + 0.955424i \(0.595398\pi\)
\(564\) 10.7532 + 10.7532i 0.452791 + 0.452791i
\(565\) −37.3500 10.0079i −1.57133 0.421036i
\(566\) −0.0117675 + 0.0439168i −0.000494624 + 0.00184596i
\(567\) 1.08144 2.48135i 0.0454163 0.104207i
\(568\) −9.01135 15.6081i −0.378108 0.654902i
\(569\) 3.82034 + 2.20567i 0.160157 + 0.0924666i 0.577936 0.816082i \(-0.303858\pi\)
−0.417779 + 0.908548i \(0.637192\pi\)
\(570\) −4.70816 + 1.26155i −0.197203 + 0.0528404i
\(571\) 34.7359i 1.45365i −0.686821 0.726826i \(-0.740995\pi\)
0.686821 0.726826i \(-0.259005\pi\)
\(572\) 3.82859 + 7.81888i 0.160082 + 0.326924i
\(573\) 16.5577i 0.691709i
\(574\) 10.4307 + 14.1215i 0.435371 + 0.589421i
\(575\) 20.1332 34.8717i 0.839613 1.45425i
\(576\) −8.55689 + 4.94032i −0.356537 + 0.205847i
\(577\) 23.9223 23.9223i 0.995899 0.995899i −0.00409248 0.999992i \(-0.501303\pi\)
0.999992 + 0.00409248i \(0.00130268\pi\)
\(578\) −1.65820 + 6.18850i −0.0689721 + 0.257408i
\(579\) 2.37731 8.87223i 0.0987975 0.368717i
\(580\) −3.75633 3.75633i −0.155973 0.155973i
\(581\) −7.72181 + 9.69066i −0.320355 + 0.402036i
\(582\) 14.9809 + 8.64925i 0.620980 + 0.358523i
\(583\) 2.66638 + 9.95106i 0.110430 + 0.412131i
\(584\) 14.3009 0.591778
\(585\) 20.1208 + 13.5261i 0.831892 + 0.559237i
\(586\) 15.2349i 0.629348i
\(587\) 4.46785 + 16.6742i 0.184408 + 0.688219i 0.994757 + 0.102271i \(0.0326109\pi\)
−0.810349 + 0.585948i \(0.800722\pi\)
\(588\) 8.92815 2.04518i 0.368191 0.0843419i
\(589\) 5.11673 2.95415i 0.210831 0.121723i
\(590\) −0.633558 0.633558i −0.0260832 0.0260832i
\(591\) −7.16724 1.92046i −0.294821 0.0789970i
\(592\) −1.67163 0.447911i −0.0687034 0.0184090i
\(593\) 17.7800 + 17.7800i 0.730138 + 0.730138i 0.970647 0.240509i \(-0.0773143\pi\)
−0.240509 + 0.970647i \(0.577314\pi\)
\(594\) 9.02994 5.21344i 0.370503 0.213910i
\(595\) 32.8703 + 4.94118i 1.34755 + 0.202569i
\(596\) 1.35209 + 5.04606i 0.0553837 + 0.206695i
\(597\) 8.07856i 0.330633i
\(598\) 10.4181 + 7.00357i 0.426029 + 0.286397i
\(599\) −0.876238 −0.0358021 −0.0179011 0.999840i \(-0.505698\pi\)
−0.0179011 + 0.999840i \(0.505698\pi\)
\(600\) 9.17092 + 34.2263i 0.374401 + 1.39728i
\(601\) −19.6980 11.3726i −0.803496 0.463899i 0.0411960 0.999151i \(-0.486883\pi\)
−0.844692 + 0.535252i \(0.820217\pi\)
\(602\) 3.36623 4.22453i 0.137197 0.172179i
\(603\) 12.3737 + 12.3737i 0.503898 + 0.503898i
\(604\) 4.49543 16.7772i 0.182916 0.682653i
\(605\) 6.73022 25.1175i 0.273622 1.02117i
\(606\) 2.69828 2.69828i 0.109610 0.109610i
\(607\) −26.7349 + 15.4354i −1.08514 + 0.626504i −0.932278 0.361744i \(-0.882182\pi\)
−0.152860 + 0.988248i \(0.548848\pi\)
\(608\) 3.18298 5.51309i 0.129087 0.223585i
\(609\) 2.84066 2.09823i 0.115109 0.0850245i
\(610\) 45.2459i 1.83195i
\(611\) −18.4281 37.6344i −0.745519 1.52252i
\(612\) 6.17694i 0.249688i
\(613\) −45.4575 + 12.1803i −1.83601 + 0.491958i −0.998515 0.0544855i \(-0.982648\pi\)
−0.837496 + 0.546443i \(0.815981\pi\)
\(614\) −15.6257 9.02148i −0.630601 0.364077i
\(615\) 16.2305 + 28.1121i 0.654479 + 1.13359i
\(616\) 14.8449 + 6.46980i 0.598116 + 0.260676i
\(617\) −1.88092 + 7.01970i −0.0757231 + 0.282602i −0.993396 0.114734i \(-0.963399\pi\)
0.917673 + 0.397336i \(0.130065\pi\)
\(618\) 1.61958 + 0.433964i 0.0651489 + 0.0174566i
\(619\) −14.6115 14.6115i −0.587285 0.587285i 0.349610 0.936895i \(-0.386314\pi\)
−0.936895 + 0.349610i \(0.886314\pi\)
\(620\) −11.4888 19.8992i −0.461401 0.799170i
\(621\) −10.1026 + 17.4983i −0.405405 + 0.702182i
\(622\) −4.02508 + 1.07852i −0.161391 + 0.0432446i
\(623\) −17.1288 + 6.73034i −0.686251 + 0.269645i
\(624\) −1.58105 + 0.309878i −0.0632925 + 0.0124050i
\(625\) −35.7143 −1.42857
\(626\) −7.40822 27.6479i −0.296092 1.10503i
\(627\) −1.40281 + 2.42975i −0.0560230 + 0.0970347i
\(628\) 8.01549 + 13.8832i 0.319853 + 0.554002i
\(629\) −9.91345 + 9.91345i −0.395275 + 0.395275i
\(630\) 16.3298 1.84643i 0.650594 0.0735635i
\(631\) 5.77115 + 1.54637i 0.229746 + 0.0615602i 0.371855 0.928291i \(-0.378722\pi\)
−0.142109 + 0.989851i \(0.545388\pi\)
\(632\) −5.54290 + 5.54290i −0.220485 + 0.220485i
\(633\) 7.54829 4.35801i 0.300018 0.173215i
\(634\) −4.90374 2.83118i −0.194752 0.112440i
\(635\) −30.1183 + 8.07018i −1.19521 + 0.320255i
\(636\) 6.40189 0.253852
\(637\) −25.1002 2.64197i −0.994506 0.104678i
\(638\) 2.27530 0.0900798
\(639\) −10.1692 + 2.72483i −0.402287 + 0.107793i
\(640\) −18.9594 10.9462i −0.749435 0.432687i
\(641\) 19.3092 11.1482i 0.762667 0.440326i −0.0675854 0.997713i \(-0.521530\pi\)
0.830253 + 0.557387i \(0.188196\pi\)
\(642\) 11.0952 11.0952i 0.437892 0.437892i
\(643\) 19.2524 + 5.15868i 0.759242 + 0.203438i 0.617614 0.786481i \(-0.288099\pi\)
0.141629 + 0.989920i \(0.454766\pi\)
\(644\) −11.3629 + 1.28482i −0.447762 + 0.0506290i
\(645\) 7.06233 7.06233i 0.278079 0.278079i
\(646\) 1.71095 + 2.96346i 0.0673165 + 0.116596i
\(647\) −7.43232 + 12.8732i −0.292195 + 0.506096i −0.974328 0.225132i \(-0.927719\pi\)
0.682134 + 0.731227i \(0.261052\pi\)
\(648\) −0.769668 2.87244i −0.0302354 0.112840i
\(649\) −0.515733 −0.0202443
\(650\) 2.42678 35.4981i 0.0951861 1.39235i
\(651\) 14.2173 5.58632i 0.557219 0.218945i
\(652\) 25.8468 6.92564i 1.01224 0.271229i
\(653\) −16.5493 + 28.6642i −0.647623 + 1.12172i 0.336067 + 0.941838i \(0.390903\pi\)
−0.983689 + 0.179877i \(0.942430\pi\)
\(654\) −1.76924 3.06442i −0.0691828 0.119828i
\(655\) 5.93175 + 5.93175i 0.231773 + 0.231773i
\(656\) 2.71721 + 0.728074i 0.106089 + 0.0284265i
\(657\) 2.16214 8.06922i 0.0843531 0.314810i
\(658\) −26.0384 11.3483i −1.01508 0.442402i
\(659\) 23.6093 + 40.8925i 0.919687 + 1.59295i 0.799890 + 0.600147i \(0.204891\pi\)
0.119797 + 0.992798i \(0.461776\pi\)
\(660\) 9.44937 + 5.45560i 0.367816 + 0.212359i
\(661\) 16.0386 4.29753i 0.623829 0.167155i 0.0669612 0.997756i \(-0.478670\pi\)
0.556868 + 0.830601i \(0.312003\pi\)
\(662\) 15.4440i 0.600248i
\(663\) −4.23008 + 12.3474i −0.164283 + 0.479534i
\(664\) 13.6132i 0.528293i
\(665\) −9.84124 + 7.26915i −0.381627 + 0.281885i
\(666\) −3.46572 + 6.00280i −0.134294 + 0.232604i
\(667\) −3.81837 + 2.20454i −0.147848 + 0.0853601i
\(668\) 9.07921 9.07921i 0.351285 0.351285i
\(669\) −1.98956 + 7.42513i −0.0769207 + 0.287072i
\(670\) 9.75773 36.4163i 0.376974 1.40689i
\(671\) −18.4157 18.4157i −0.710929 0.710929i
\(672\) 10.2568 12.8719i 0.395663 0.496546i
\(673\) −22.5906 13.0427i −0.870802 0.502758i −0.00318750 0.999995i \(-0.501015\pi\)
−0.867615 + 0.497237i \(0.834348\pi\)
\(674\) 2.98015 + 11.1221i 0.114791 + 0.428406i
\(675\) 57.2693 2.20430
\(676\) −14.7686 2.02876i −0.568025 0.0780290i
\(677\) 19.4663i 0.748150i −0.927398 0.374075i \(-0.877960\pi\)
0.927398 0.374075i \(-0.122040\pi\)
\(678\) −2.66370 9.94105i −0.102299 0.381784i
\(679\) 42.9384 + 6.45465i 1.64783 + 0.247707i
\(680\) 31.6258 18.2592i 1.21280 0.700208i
\(681\) 13.0582 + 13.0582i 0.500391 + 0.500391i
\(682\) 9.50621 + 2.54718i 0.364012 + 0.0975366i
\(683\) −19.9907 5.35648i −0.764921 0.204960i −0.144794 0.989462i \(-0.546252\pi\)
−0.620127 + 0.784502i \(0.712919\pi\)
\(684\) −1.60768 1.60768i −0.0614712 0.0614712i
\(685\) 40.0786 23.1394i 1.53132 0.884110i
\(686\) −14.1237 + 9.65382i −0.539246 + 0.368585i
\(687\) 5.79380 + 21.6228i 0.221047 + 0.824960i
\(688\) 0.865524i 0.0329978i
\(689\) −16.6883 5.71723i −0.635775 0.217809i
\(690\) 15.7333 0.598955
\(691\) 3.65409 + 13.6373i 0.139008 + 0.518786i 0.999949 + 0.0100808i \(0.00320887\pi\)
−0.860941 + 0.508705i \(0.830124\pi\)
\(692\) −3.30555 1.90846i −0.125658 0.0725488i
\(693\) 5.89491 7.39796i 0.223929 0.281025i
\(694\) 17.1477 + 17.1477i 0.650916 + 0.650916i
\(695\) 4.59409 17.1454i 0.174264 0.650362i
\(696\) 1.00419 3.74770i 0.0380639 0.142056i
\(697\) 16.1142 16.1142i 0.610369 0.610369i
\(698\) −5.85494 + 3.38035i −0.221613 + 0.127948i
\(699\) 6.33483 10.9722i 0.239605 0.415008i
\(700\) 19.2572 + 26.0710i 0.727852 + 0.985393i
\(701\) 26.8075i 1.01251i −0.862385 0.506253i \(-0.831030\pi\)
0.862385 0.506253i \(-0.168970\pi\)
\(702\) −1.21773 + 17.8126i −0.0459603 + 0.672293i
\(703\) 5.16037i 0.194627i
\(704\) 11.8356 3.17133i 0.446069 0.119524i
\(705\) −45.4824 26.2593i −1.71297 0.988981i
\(706\) −12.5896 21.8058i −0.473815 0.820672i
\(707\) 3.82687 8.78071i 0.143924 0.330232i
\(708\) −0.0829475 + 0.309564i −0.00311736 + 0.0116341i
\(709\) 27.7598 + 7.43821i 1.04254 + 0.279348i 0.739166 0.673524i \(-0.235220\pi\)
0.303374 + 0.952871i \(0.401887\pi\)
\(710\) 16.0385 + 16.0385i 0.601915 + 0.601915i
\(711\) 2.28952 + 3.96557i 0.0858638 + 0.148720i
\(712\) −10.1095 + 17.5101i −0.378869 + 0.656220i
\(713\) −18.4212 + 4.93594i −0.689879 + 0.184852i
\(714\) 3.23543 + 8.23421i 0.121083 + 0.308157i
\(715\) −19.7603 22.6603i −0.738994 0.847449i
\(716\) 0.293027 0.0109509
\(717\) 7.52796 + 28.0947i 0.281137 + 1.04922i
\(718\) 14.3482 24.8518i 0.535470 0.927462i
\(719\) 1.45756 + 2.52456i 0.0543577 + 0.0941503i 0.891924 0.452186i \(-0.149356\pi\)
−0.837566 + 0.546336i \(0.816022\pi\)
\(720\) 1.86198 1.86198i 0.0693918 0.0693918i
\(721\) 4.18205 0.472869i 0.155748 0.0176106i
\(722\) 15.7363 + 4.21652i 0.585644 + 0.156923i
\(723\) 20.5260 20.5260i 0.763369 0.763369i
\(724\) 7.59825 4.38685i 0.282387 0.163036i
\(725\) 10.8227 + 6.24849i 0.401945 + 0.232063i
\(726\) 6.68527 1.79131i 0.248114 0.0664818i
\(727\) 26.1967 0.971584 0.485792 0.874075i \(-0.338531\pi\)
0.485792 + 0.874075i \(0.338531\pi\)
\(728\) −23.3754 + 14.9149i −0.866351 + 0.552782i
\(729\) −20.0879 −0.743998
\(730\) −17.3847 + 4.65822i −0.643437 + 0.172409i
\(731\) −6.07232 3.50585i −0.224593 0.129669i
\(732\) −14.0157 + 8.09199i −0.518037 + 0.299089i
\(733\) 4.50890 4.50890i 0.166540 0.166540i −0.618917 0.785457i \(-0.712428\pi\)
0.785457 + 0.618917i \(0.212428\pi\)
\(734\) 22.4221 + 6.00798i 0.827614 + 0.221758i
\(735\) −27.9548 + 14.8027i −1.03113 + 0.546004i
\(736\) −14.5299 + 14.5299i −0.535577 + 0.535577i
\(737\) −10.8504 18.7934i −0.399680 0.692265i
\(738\) 5.63348 9.75748i 0.207371 0.359178i
\(739\) 6.51352 + 24.3088i 0.239604 + 0.894213i 0.976019 + 0.217684i \(0.0698501\pi\)
−0.736416 + 0.676529i \(0.763483\pi\)
\(740\) −20.0689 −0.737747
\(741\) −2.11271 4.31465i −0.0776124 0.158503i
\(742\) −11.1291 + 4.37289i −0.408561 + 0.160534i
\(743\) −23.8890 + 6.40103i −0.876401 + 0.234831i −0.668854 0.743394i \(-0.733215\pi\)
−0.207547 + 0.978225i \(0.566548\pi\)
\(744\) 8.39107 14.5338i 0.307632 0.532834i
\(745\) −9.02067 15.6243i −0.330492 0.572429i
\(746\) −2.03021 2.03021i −0.0743312 0.0743312i
\(747\) 7.68114 + 2.05816i 0.281038 + 0.0753040i
\(748\) 1.98257 7.39907i 0.0724901 0.270537i
\(749\) 15.7359 36.1057i 0.574976 1.31927i
\(750\) −11.8614 20.5446i −0.433118 0.750182i
\(751\) 12.2932 + 7.09751i 0.448587 + 0.258992i 0.707233 0.706980i \(-0.249943\pi\)
−0.258646 + 0.965972i \(0.583276\pi\)
\(752\) −4.39615 + 1.17795i −0.160311 + 0.0429552i
\(753\) 6.87425i 0.250511i
\(754\) −2.17361 + 3.23335i −0.0791581 + 0.117752i
\(755\) 59.9839i 2.18304i
\(756\) −9.66303 13.0822i −0.351441 0.475794i
\(757\) −12.3674 + 21.4210i −0.449502 + 0.778559i −0.998354 0.0573601i \(-0.981732\pi\)
0.548852 + 0.835920i \(0.315065\pi\)
\(758\) 3.60709 2.08256i 0.131016 0.0756419i
\(759\) 6.40364 6.40364i 0.232437 0.232437i
\(760\) −3.47895 + 12.9836i −0.126195 + 0.470966i
\(761\) −3.00566 + 11.2173i −0.108955 + 0.406626i −0.998764 0.0497076i \(-0.984171\pi\)
0.889809 + 0.456334i \(0.150838\pi\)
\(762\) −5.86832 5.86832i −0.212587 0.212587i
\(763\) −6.94635 5.53506i −0.251475 0.200383i
\(764\) −14.4104 8.31983i −0.521349 0.301001i
\(765\) −5.52116 20.6052i −0.199618 0.744984i
\(766\) −31.0499 −1.12188
\(767\) 0.492684 0.732890i 0.0177898 0.0264631i
\(768\) 19.1070i 0.689463i
\(769\) 9.18218 + 34.2684i 0.331118 + 1.23575i 0.908017 + 0.418933i \(0.137596\pi\)
−0.576899 + 0.816815i \(0.695737\pi\)
\(770\) −20.1533 3.02952i −0.726275 0.109176i
\(771\) −24.1252 + 13.9287i −0.868850 + 0.501631i
\(772\) −6.52707 6.52707i −0.234914 0.234914i
\(773\) −19.4491 5.21138i −0.699536 0.187440i −0.108513 0.994095i \(-0.534609\pi\)
−0.591023 + 0.806655i \(0.701276\pi\)
\(774\) −3.34850 0.897229i