Properties

Label 91.2.bc.a.41.3
Level $91$
Weight $2$
Character 91.41
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 41.3
Character \(\chi\) \(=\) 91.41
Dual form 91.2.bc.a.20.3

$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

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

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 −0.0708335 0.997488i \(-0.522566\pi\)
−0.560088 + 0.828433i \(0.689233\pi\)
\(3\) −0.988196 + 0.570535i −0.570535 + 0.329399i −0.757363 0.652994i \(-0.773513\pi\)
0.186828 + 0.982393i \(0.440179\pi\)
\(4\) −0.993087 0.573359i −0.496543 0.286679i
\(5\) 2.80028 + 2.80028i 1.25232 + 1.25232i 0.954675 + 0.297649i \(0.0962026\pi\)
0.297649 + 0.954675i \(0.403797\pi\)
\(6\) 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 −0.833808 0.552055i \(-0.813844\pi\)
0.998126 0.0611898i \(-0.0194895\pi\)
\(12\) 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 −0.607017 0.794689i \(-0.707634\pi\)
0.991729 + 0.128348i \(0.0409674\pi\)
\(18\) 1.10907 1.10907i 0.261410 0.261410i
\(19\) −1.12791 + 0.302223i −0.258761 + 0.0693347i −0.385867 0.922554i \(-0.626098\pi\)
0.127106 + 0.991889i \(0.459431\pi\)
\(20\) −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 −0.119464 0.992839i \(-0.538118\pi\)
0.800092 + 0.599878i \(0.204784\pi\)
\(24\) −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 0.806596 0.591102i \(-0.201307\pi\)
−0.915208 + 0.402982i \(0.867974\pi\)
\(30\) 3.61498 + 2.08711i 0.660003 + 0.381053i
\(31\) −3.57780 3.57780i −0.642591 0.642591i 0.308600 0.951192i \(-0.400139\pi\)
−0.951192 + 0.308600i \(0.900139\pi\)
\(32\) −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 −0.805922 0.592022i \(-0.798330\pi\)
0.993960 0.109745i \(-0.0350033\pi\)
\(38\) 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 0.654472 + 0.756087i \(0.272891\pi\)
−0.944832 + 0.327555i \(0.893775\pi\)
\(42\) 2.75775 0.414555i 0.425531 0.0639673i
\(43\) −1.91410 1.10511i −0.291897 0.168527i 0.346900 0.937902i \(-0.387234\pi\)
−0.638797 + 0.769375i \(0.720568\pi\)
\(44\) −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 0.224176 0.974549i \(-0.428031\pi\)
0.974549 0.224176i \(-0.0719690\pi\)
\(48\) 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 0.961677 0.274186i \(-0.0884085\pi\)
−0.969930 + 0.243386i \(0.921742\pi\)
\(60\) 3.66413 + 3.66413i 0.473037 + 0.473037i
\(61\) −10.7114 6.18424i −1.37146 0.791811i −0.380345 0.924845i \(-0.624195\pi\)
−0.991111 + 0.133034i \(0.957528\pi\)
\(62\) 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 −0.406992 0.913432i \(-0.633422\pi\)
−0.809182 + 0.587559i \(0.800089\pi\)
\(68\) −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 0.993398 + 0.114722i \(0.0365976\pi\)
−0.802947 + 0.596051i \(0.796736\pi\)
\(72\) −4.76733 + 1.27740i −0.561835 + 0.150543i
\(73\) 3.47893 3.47893i 0.407178 0.407178i −0.473575 0.880753i \(-0.657037\pi\)
0.880753 + 0.473575i \(0.157037\pi\)
\(74\) −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 0.501602 0.865099i \(-0.332744\pi\)
−0.865099 + 0.501602i \(0.832744\pi\)
\(84\) 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 −0.115512 0.993306i \(-0.536851\pi\)
−0.596690 + 0.802472i \(0.703518\pi\)
\(90\) 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 0.661649 0.749814i \(-0.269857\pi\)
0.947912 + 0.318533i \(0.103190\pi\)
\(98\) −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 0.941920 0.335837i \(-0.109019\pi\)
−0.761804 + 0.647808i \(0.775686\pi\)
\(102\) 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 0.961173 + 0.275946i \(0.0889911\pi\)
−0.241610 + 0.970373i \(0.577676\pi\)
\(108\) −3.07361 + 5.32364i −0.295758 + 0.512268i
\(109\) −2.37380 + 2.37380i −0.227368 + 0.227368i −0.811592 0.584224i \(-0.801399\pi\)
0.584224 + 0.811592i \(0.301399\pi\)
\(110\) −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 −0.998922 0.0464177i \(-0.985219\pi\)
0.539660 + 0.841883i \(0.318553\pi\)
\(114\) −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 −0.771030 0.636799i \(-0.780258\pi\)
0.165969 + 0.986131i \(0.446925\pi\)
\(128\) −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 \(-0.970502\pi\)
0.995709 0.0925369i \(-0.0294976\pi\)
\(132\) 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 0.257927 0.966164i \(-0.416961\pi\)
0.706453 + 0.707760i \(0.250294\pi\)
\(138\) 2.80923 2.80923i 0.239137 0.239137i
\(139\) 3.88166 + 2.24108i 0.329238 + 0.190086i 0.655503 0.755193i \(-0.272457\pi\)
−0.326265 + 0.945278i \(0.605790\pi\)
\(140\) −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 0.997256 0.0740238i \(-0.0235841\pi\)
−0.900661 + 0.434522i \(0.856917\pi\)
\(150\) 2.91444 + 10.8768i 0.237963 + 0.888090i
\(151\) −10.7103 10.7103i −0.871595 0.871595i 0.121051 0.992646i \(-0.461373\pi\)
−0.992646 + 0.121051i \(0.961373\pi\)
\(152\) −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 \(0.188377\pi\)
−0.829936 + 0.557858i \(0.811623\pi\)
\(158\) 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 −0.987812 0.155653i \(-0.950252\pi\)
−0.777644 + 0.628705i \(0.783585\pi\)
\(164\) 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 −0.185198 0.982701i \(-0.559293\pi\)
−0.651737 + 0.758445i \(0.725959\pi\)
\(168\) −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 −0.795798 0.605562i \(-0.792948\pi\)
0.922331 + 0.386400i \(0.126282\pi\)
\(174\) −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 −0.508248 0.861211i \(-0.669707\pi\)
0.491707 + 0.870761i \(0.336373\pi\)
\(180\) 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 −0.474599 0.880202i \(-0.657407\pi\)
0.999577 0.0290868i \(-0.00925993\pi\)
\(192\) −3.32002 5.75045i −0.239602 0.415003i
\(193\) 2.08340 7.77536i 0.149966 0.559682i −0.849518 0.527560i \(-0.823107\pi\)
0.999484 0.0321220i \(-0.0102265\pi\)
\(194\) −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 0.475536 0.879696i \(-0.342254\pi\)
−0.0280221 + 0.999607i \(0.508921\pi\)
\(198\) −1.65131 2.86016i −0.117354 0.203263i
\(199\) −3.53990 + 6.13129i −0.250937 + 0.434636i −0.963784 0.266684i \(-0.914072\pi\)
0.712847 + 0.701320i \(0.247405\pi\)
\(200\) −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 0.704092 0.710109i \(-0.251354\pi\)
−0.967018 + 0.254707i \(0.918021\pi\)
\(212\) −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 −0.999413 0.0342732i \(-0.989088\pi\)
0.882653 + 0.470025i \(0.155755\pi\)
\(224\) −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 −0.737105 0.675778i \(-0.763808\pi\)
−0.300462 + 0.953794i \(0.597141\pi\)
\(228\) −1.47586 + 0.395455i −0.0977410 + 0.0261896i
\(229\) −13.8720 + 13.8720i −0.916689 + 0.916689i −0.996787 0.0800979i \(-0.974477\pi\)
0.0800979 + 0.996787i \(0.474477\pi\)
\(230\) −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 \(-0.881513\pi\)
0.931516 0.363701i \(-0.118487\pi\)
\(234\) −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 −0.182716 + 0.983166i \(0.558489\pi\)
−0.983166 + 0.182716i \(0.941511\pi\)
\(240\) 0.458006 + 1.70930i 0.0295642 + 0.110335i
\(241\) −6.58419 24.5725i −0.424125 1.58286i −0.765826 0.643048i \(-0.777670\pi\)
0.341701 0.939809i \(-0.388997\pi\)
\(242\) −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 −0.945292 0.326224i \(-0.894224\pi\)
0.755165 + 0.655535i \(0.227557\pi\)
\(252\) 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 0.942112 + 0.335300i \(0.108838\pi\)
−0.180678 + 0.983542i \(0.557829\pi\)
\(258\) −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 0.999281 0.0379074i \(-0.0120692\pi\)
−0.532469 + 0.846449i \(0.678736\pi\)
\(264\) −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 0.590570 0.806986i \(-0.298903\pi\)
−0.403585 + 0.914942i \(0.632236\pi\)
\(270\) −16.9830 + 9.80516i −1.03356 + 0.596723i
\(271\) −0.730396 0.195709i −0.0443684 0.0118885i 0.236567 0.971615i \(-0.423978\pi\)
−0.280935 + 0.959727i \(0.590645\pi\)
\(272\) −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 0.203530 0.979069i \(-0.434758\pi\)
−0.746133 + 0.665797i \(0.768092\pi\)
\(278\) −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 −0.996313 0.0857959i \(-0.972657\pi\)
−0.0857959 0.996313i \(-0.527343\pi\)
\(282\) 6.12509 10.6090i 0.364744 0.631754i
\(283\) 0.0246100 + 0.0426257i 0.00146291 + 0.00253383i 0.866756 0.498733i \(-0.166201\pi\)
−0.865293 + 0.501266i \(0.832868\pi\)
\(284\) 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 0.971133 + 0.238539i \(0.0766685\pi\)
−0.721756 + 0.692147i \(0.756665\pi\)
\(294\) 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 −0.192937 0.981211i \(-0.561801\pi\)
0.981211 + 0.192937i \(0.0618012\pi\)
\(308\) −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 \(-0.660382\pi\)
0.482805 0.875728i \(-0.339618\pi\)
\(314\) 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 −0.574827 0.818275i \(-0.694931\pi\)
0.818275 + 0.574827i \(0.194931\pi\)
\(318\) 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 0.976845 + 0.213947i \(0.0686319\pi\)
−0.739000 + 0.673706i \(0.764701\pi\)
\(332\) 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 \(0.110261\pi\)
−0.940603 + 0.339508i \(0.889739\pi\)
\(338\) −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 0.262156 + 0.965026i \(0.415566\pi\)
−0.966815 + 0.255479i \(0.917767\pi\)
\(348\) −0.765322 1.32558i −0.0410256 0.0710583i
\(349\) 7.06951 + 1.89427i 0.378422 + 0.101398i 0.443016 0.896514i \(-0.353908\pi\)
−0.0645937 + 0.997912i \(0.520575\pi\)
\(350\) 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 −0.477126 0.878835i \(-0.658321\pi\)
0.852621 0.522530i \(-0.175012\pi\)
\(354\) −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 −0.984613 0.174749i \(-0.944089\pi\)
−0.174749 0.984613i \(-0.555911\pi\)
\(360\) −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 −0.945440 0.325796i \(-0.894368\pi\)
−0.190573 + 0.981673i \(0.561035\pi\)
\(368\) −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 −0.822983 0.568066i \(-0.807692\pi\)
0.903451 + 0.428691i \(0.141025\pi\)
\(374\) 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 0.145218 0.989400i \(-0.453612\pi\)
−0.368938 + 0.929454i \(0.620278\pi\)
\(380\) 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 0.696919 0.717150i \(-0.254554\pi\)
0.962124 + 0.272611i \(0.0878872\pi\)
\(384\) −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 \(0.175489\pi\)
−0.851836 + 0.523809i \(0.824511\pi\)
\(390\) −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 0.997091 0.0762157i \(-0.0242838\pi\)
−0.901614 + 0.432541i \(0.857617\pi\)
\(398\) 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 −0.956019 0.293306i \(-0.905245\pi\)
0.974589 + 0.223999i \(0.0719114\pi\)
\(402\) −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 −0.0900646 0.995936i \(-0.528707\pi\)
0.419970 + 0.907538i \(0.362041\pi\)
\(410\) 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 −0.292218 0.956352i \(-0.594393\pi\)
0.682116 + 0.731244i \(0.261060\pi\)
\(420\) 8.54378 + 10.7222i 0.416894 + 0.523190i
\(421\) 9.26432 9.26432i 0.451515 0.451515i −0.444342 0.895857i \(-0.646562\pi\)
0.895857 + 0.444342i \(0.146562\pi\)
\(422\) 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 0.104259 0.994550i \(-0.466753\pi\)
−0.406985 + 0.913435i \(0.633420\pi\)
\(432\) −1.81802 + 1.04963i −0.0874694 + 0.0505005i
\(433\) −12.5684 + 21.7691i −0.604000 + 1.04616i 0.388209 + 0.921571i \(0.373094\pi\)
−0.992209 + 0.124587i \(0.960239\pi\)
\(434\) 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 0.996149 0.0876754i \(-0.0279438\pi\)
−0.574004 + 0.818853i \(0.694610\pi\)
\(440\) 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 −0.324924 0.945740i \(-0.605339\pi\)
0.191477 + 0.981497i \(0.438672\pi\)
\(450\) 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 0.763183 0.646182i \(-0.223635\pi\)
0.337845 + 0.941202i \(0.390302\pi\)
\(458\) 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 −0.695301 0.718719i \(-0.744729\pi\)
−0.242789 + 0.970079i \(0.578062\pi\)
\(462\) 0.659763 5.83493i 0.0306950 0.271465i
\(463\) 8.98662 + 8.98662i 0.417644 + 0.417644i 0.884391 0.466747i \(-0.154574\pi\)
−0.466747 + 0.884391i \(0.654574\pi\)
\(464\) −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 0.494606 0.869117i \(-0.335312\pi\)
−0.00621763 + 0.999981i \(0.501979\pi\)
\(480\) 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 0.865872 + 0.500266i \(0.166764\pi\)
−0.499734 + 0.866179i \(0.666569\pi\)
\(488\) −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 0.00943333 0.999956i \(-0.496997\pi\)
0.870704 + 0.491808i \(0.163664\pi\)
\(492\) −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 −0.246881 0.969046i \(-0.579406\pi\)
0.969046 + 0.246881i \(0.0794056\pi\)
\(500\) 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 0.580832 0.814023i \(-0.302727\pi\)
−0.414549 + 0.910027i \(0.636061\pi\)
\(504\) −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 0.616748 + 0.787161i \(0.288450\pi\)
−0.927700 + 0.373327i \(0.878217\pi\)
\(510\) 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 \(0.0989943\pi\)
−0.952028 + 0.306011i \(0.901006\pi\)
\(522\) −1.77224 0.474870i −0.0775688 0.0207845i
\(523\) 35.9424 20.7514i 1.57165 0.907394i 0.575685 0.817672i \(-0.304735\pi\)
0.995967 0.0897221i \(-0.0285979\pi\)
\(524\) −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 0.605720 0.795678i \(-0.292885\pi\)
−0.795678 + 0.605720i \(0.792885\pi\)
\(542\) 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 −0.563332 0.826230i \(-0.690481\pi\)
0.900975 0.433870i \(-0.142852\pi\)
\(558\) −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 −0.295236 0.955424i \(-0.595398\pi\)
0.975040 0.222030i \(-0.0712683\pi\)
\(564\) 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 −0.417779 0.908548i \(-0.637192\pi\)
0.577936 + 0.816082i \(0.303858\pi\)
\(570\) −4.70816 1.26155i −0.197203 0.0528404i
\(571\) 34.7359i 1.45365i 0.686821 + 0.726826i \(0.259005\pi\)
−0.686821 + 0.726826i \(0.740995\pi\)
\(572\) 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 0.999992 0.00409248i \(-0.00130268\pi\)
−0.00409248 + 0.999992i \(0.501303\pi\)
\(578\) −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 −0.810349 0.585948i \(-0.800722\pi\)
0.994757 0.102271i \(-0.0326109\pi\)
\(588\) 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 −0.240509 0.970647i \(-0.577314\pi\)
0.970647 + 0.240509i \(0.0773143\pi\)
\(594\) 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 −0.844692 0.535252i \(-0.820217\pi\)
0.0411960 + 0.999151i \(0.486883\pi\)
\(602\) 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 −0.152860 0.988248i \(-0.548848\pi\)
−0.932278 + 0.361744i \(0.882182\pi\)
\(608\) 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 −0.837496 0.546443i \(-0.815981\pi\)
−0.998515 + 0.0544855i \(0.982648\pi\)
\(614\) −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 0.917673 0.397336i \(-0.130065\pi\)
−0.993396 + 0.114734i \(0.963399\pi\)
\(618\) 1.61958 0.433964i 0.0651489 0.0174566i
\(619\) −14.6115 + 14.6115i −0.587285 + 0.587285i −0.936895 0.349610i \(-0.886314\pi\)
0.349610 + 0.936895i \(0.386314\pi\)
\(620\) −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 −0.142109 0.989851i \(-0.545388\pi\)
0.371855 + 0.928291i \(0.378722\pi\)
\(632\) −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 0.830253 0.557387i \(-0.188196\pi\)
−0.0675854 + 0.997713i \(0.521530\pi\)
\(642\) 11.0952 + 11.0952i 0.437892 + 0.437892i
\(643\) 19.2524 5.15868i 0.759242 0.203438i 0.141629 0.989920i \(-0.454766\pi\)
0.617614 + 0.786481i \(0.288099\pi\)
\(644\) −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 0.682134 0.731227i \(-0.261052\pi\)
−0.974328 + 0.225132i \(0.927719\pi\)
\(648\) −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 −0.983689 0.179877i \(-0.942430\pi\)
0.336067 0.941838i \(-0.390903\pi\)
\(654\) −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 0.119797 0.992798i \(-0.461776\pi\)
0.799890 0.600147i \(-0.204891\pi\)
\(660\) 9.44937 5.45560i 0.367816 0.212359i
\(661\) 16.0386 + 4.29753i 0.623829 + 0.167155i 0.556868 0.830601i \(-0.312003\pi\)
0.0669612 + 0.997756i \(0.478670\pi\)
\(662\) 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 −0.867615 0.497237i \(-0.834348\pi\)
−0.00318750 + 0.999995i \(0.501015\pi\)
\(674\) 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 \(0.122040\pi\)
−0.927398 + 0.374075i \(0.877960\pi\)
\(678\) −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 −0.620127 0.784502i \(-0.712919\pi\)
−0.144794 + 0.989462i \(0.546252\pi\)
\(684\) −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 −0.860941 0.508705i \(-0.830124\pi\)
0.999949 0.0100808i \(-0.00320887\pi\)
\(692\) −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 \(0.168970\pi\)
−0.862385 + 0.506253i \(0.831030\pi\)
\(702\) −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 0.303374 0.952871i \(-0.401887\pi\)
0.739166 + 0.673524i \(0.235220\pi\)
\(710\) 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 −0.837566 0.546336i \(-0.816022\pi\)
0.891924 + 0.452186i \(0.149356\pi\)
\(720\) 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 0.785457 0.618917i \(-0.212428\pi\)
−0.618917 + 0.785457i \(0.712428\pi\)
\(734\) 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 −0.736416 0.676529i \(-0.763483\pi\)
0.976019 0.217684i \(-0.0698501\pi\)
\(740\) −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 −0.207547 0.978225i \(-0.566548\pi\)
−0.668854 + 0.743394i \(0.733215\pi\)
\(744\) 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 −0.258646 0.965972i \(-0.583276\pi\)
0.707233 + 0.706980i \(0.249943\pi\)
\(752\) −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 0.548852 0.835920i \(-0.315065\pi\)
−0.998354 + 0.0573601i \(0.981732\pi\)
\(758\) 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 0.889809 0.456334i \(-0.150838\pi\)
−0.998764 + 0.0497076i \(0.984171\pi\)
\(762\) −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 −0.576899 0.816815i \(-0.695737\pi\)
0.908017 0.418933i \(-0.137596\pi\)
\(770\) −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 −0.591023 0.806655i \(-0.701276\pi\)
−0.108513 + 0.994095i \(0.534609\pi\)
\(774\) −3.34850 +