Properties

Label 91.2.e.c.79.5
Level $91$
Weight $2$
Character 91.79
Analytic conductor $0.727$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(10\)
Relative dimension: \(5\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{10} - \cdots)\)
Defining polynomial: \(x^{10} - x^{9} + 8 x^{8} + 7 x^{7} + 41 x^{6} + 18 x^{5} + 58 x^{4} + 28 x^{3} + 64 x^{2} + 16 x + 4\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 79.5
Root \(1.50426 - 2.60546i\) of defining polynomial
Character \(\chi\) \(=\) 91.79
Dual form 91.2.e.c.53.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.00426 - 1.73943i) q^{2} +(-0.879528 - 1.52339i) q^{3} +(-1.01709 - 1.76164i) q^{4} +(-0.452861 + 0.784378i) q^{5} -3.53311 q^{6} +(0.237709 + 2.63505i) q^{7} -0.0686323 q^{8} +(-0.0471392 + 0.0816475i) q^{9} +O(q^{10})\) \(q+(1.00426 - 1.73943i) q^{2} +(-0.879528 - 1.52339i) q^{3} +(-1.01709 - 1.76164i) q^{4} +(-0.452861 + 0.784378i) q^{5} -3.53311 q^{6} +(0.237709 + 2.63505i) q^{7} -0.0686323 q^{8} +(-0.0471392 + 0.0816475i) q^{9} +(0.909582 + 1.57544i) q^{10} +(-0.358181 - 0.620387i) q^{11} +(-1.78911 + 3.09883i) q^{12} +1.00000 q^{13} +(4.82222 + 2.23280i) q^{14} +1.59322 q^{15} +(1.96525 - 3.40391i) q^{16} +(-1.17614 - 2.03713i) q^{17} +(0.0946802 + 0.163991i) q^{18} +(-3.31796 + 5.74687i) q^{19} +1.84239 q^{20} +(3.80513 - 2.67972i) q^{21} -1.43883 q^{22} +(-1.87953 + 3.25544i) q^{23} +(0.0603641 + 0.104554i) q^{24} +(2.08983 + 3.61970i) q^{25} +(1.00426 - 1.73943i) q^{26} -5.11133 q^{27} +(4.40025 - 3.09883i) q^{28} +3.25799 q^{29} +(1.60001 - 2.77129i) q^{30} +(-0.785250 - 1.36009i) q^{31} +(-4.01588 - 6.95570i) q^{32} +(-0.630060 + 1.09130i) q^{33} -4.72459 q^{34} +(-2.17452 - 1.00686i) q^{35} +0.191778 q^{36} +(-2.60441 + 4.51098i) q^{37} +(6.66419 + 11.5427i) q^{38} +(-0.879528 - 1.52339i) q^{39} +(0.0310809 - 0.0538337i) q^{40} +4.92168 q^{41} +(-0.839850 - 9.30992i) q^{42} -9.43766 q^{43} +(-0.728600 + 1.26197i) q^{44} +(-0.0426950 - 0.0739499i) q^{45} +(3.77508 + 6.53863i) q^{46} +(4.15993 - 7.20521i) q^{47} -6.91395 q^{48} +(-6.88699 + 1.25275i) q^{49} +8.39497 q^{50} +(-2.06889 + 3.58342i) q^{51} +(-1.01709 - 1.76164i) q^{52} +(-7.04163 - 12.1965i) q^{53} +(-5.13311 + 8.89081i) q^{54} +0.648824 q^{55} +(-0.0163145 - 0.180850i) q^{56} +11.6729 q^{57} +(3.27188 - 5.66706i) q^{58} +(-0.358181 - 0.620387i) q^{59} +(-1.62044 - 2.80668i) q^{60} +(5.82633 - 10.0915i) q^{61} -3.15439 q^{62} +(-0.226351 - 0.104806i) q^{63} -8.27099 q^{64} +(-0.452861 + 0.784378i) q^{65} +(1.26549 + 2.19189i) q^{66} +(-4.69587 - 8.13349i) q^{67} +(-2.39246 + 4.14386i) q^{68} +6.61239 q^{69} +(-3.93516 + 2.77129i) q^{70} +10.9914 q^{71} +(0.00323527 - 0.00560366i) q^{72} +(1.73650 + 3.00771i) q^{73} +(5.23103 + 9.06041i) q^{74} +(3.67614 - 6.36725i) q^{75} +13.4986 q^{76} +(1.54961 - 1.09130i) q^{77} -3.53311 q^{78} +(-6.50408 + 11.2654i) q^{79} +(1.77997 + 3.08299i) q^{80} +(4.63697 + 8.03147i) q^{81} +(4.94265 - 8.56093i) q^{82} +3.54083 q^{83} +(-8.59086 - 3.97778i) q^{84} +2.13050 q^{85} +(-9.47789 + 16.4162i) q^{86} +(-2.86550 - 4.96318i) q^{87} +(0.0245828 + 0.0425786i) q^{88} +(-6.02503 + 10.4357i) q^{89} -0.171508 q^{90} +(0.237709 + 2.63505i) q^{91} +7.64656 q^{92} +(-1.38130 + 2.39248i) q^{93} +(-8.35532 - 14.4718i) q^{94} +(-3.00514 - 5.20506i) q^{95} +(-7.06415 + 12.2355i) q^{96} +7.43766 q^{97} +(-4.73727 + 13.2375i) q^{98} +0.0675374 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10q - 4q^{2} - 8q^{4} - 2q^{5} - 10q^{6} + q^{7} + 18q^{8} - 3q^{9} + O(q^{10}) \) \( 10q - 4q^{2} - 8q^{4} - 2q^{5} - 10q^{6} + q^{7} + 18q^{8} - 3q^{9} + 5q^{10} - 11q^{11} - 5q^{12} + 10q^{13} + 10q^{14} - 10q^{16} + 5q^{17} - 9q^{18} - 9q^{19} + 2q^{20} + 2q^{21} + 16q^{22} - 10q^{23} - 9q^{25} - 4q^{26} + 37q^{28} - 6q^{29} + 13q^{30} + 6q^{31} - 22q^{32} - 8q^{33} - 44q^{34} - 4q^{35} + 14q^{36} - 4q^{37} + 10q^{38} - 28q^{40} + 28q^{41} + 52q^{42} + 4q^{43} + 32q^{45} - 3q^{46} - q^{47} - 46q^{48} - 11q^{49} + 18q^{50} + 8q^{51} - 8q^{52} - 17q^{53} - 23q^{54} - 21q^{56} - 32q^{57} + 27q^{58} - 11q^{59} + 29q^{60} + 11q^{61} - 46q^{62} + 5q^{63} + 18q^{64} - 2q^{65} - 21q^{66} - 13q^{67} + 32q^{68} + 36q^{69} + 49q^{70} + 30q^{71} + 19q^{72} + 33q^{74} + 20q^{75} + 16q^{76} - 46q^{77} - 10q^{78} - 2q^{79} - 55q^{80} + 19q^{81} - 34q^{82} + 12q^{83} - 23q^{84} - 44q^{85} - 28q^{86} + 8q^{87} + 3q^{88} + 4q^{89} - 68q^{90} + q^{91} + 42q^{92} - 18q^{93} - 20q^{94} + 12q^{95} + 37q^{96} - 24q^{97} - 7q^{98} + 22q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00426 1.73943i 0.710121 1.22997i −0.254691 0.967023i \(-0.581974\pi\)
0.964812 0.262942i \(-0.0846930\pi\)
\(3\) −0.879528 1.52339i −0.507796 0.879528i −0.999959 0.00902528i \(-0.997127\pi\)
0.492164 0.870503i \(-0.336206\pi\)
\(4\) −1.01709 1.76164i −0.508543 0.880822i
\(5\) −0.452861 + 0.784378i −0.202526 + 0.350784i −0.949342 0.314246i \(-0.898248\pi\)
0.746816 + 0.665031i \(0.231582\pi\)
\(6\) −3.53311 −1.44238
\(7\) 0.237709 + 2.63505i 0.0898454 + 0.995956i
\(8\) −0.0686323 −0.0242652
\(9\) −0.0471392 + 0.0816475i −0.0157131 + 0.0272158i
\(10\) 0.909582 + 1.57544i 0.287635 + 0.498199i
\(11\) −0.358181 0.620387i −0.107996 0.187054i 0.806963 0.590603i \(-0.201110\pi\)
−0.914958 + 0.403549i \(0.867777\pi\)
\(12\) −1.78911 + 3.09883i −0.516472 + 0.894555i
\(13\) 1.00000 0.277350
\(14\) 4.82222 + 2.23280i 1.28879 + 0.596742i
\(15\) 1.59322 0.411366
\(16\) 1.96525 3.40391i 0.491311 0.850976i
\(17\) −1.17614 2.03713i −0.285255 0.494076i 0.687416 0.726264i \(-0.258745\pi\)
−0.972671 + 0.232188i \(0.925412\pi\)
\(18\) 0.0946802 + 0.163991i 0.0223163 + 0.0386530i
\(19\) −3.31796 + 5.74687i −0.761191 + 1.31842i 0.181046 + 0.983475i \(0.442052\pi\)
−0.942237 + 0.334947i \(0.891282\pi\)
\(20\) 1.84239 0.411971
\(21\) 3.80513 2.67972i 0.830348 0.584764i
\(22\) −1.43883 −0.306759
\(23\) −1.87953 + 3.25544i −0.391909 + 0.678806i −0.992701 0.120599i \(-0.961518\pi\)
0.600793 + 0.799405i \(0.294852\pi\)
\(24\) 0.0603641 + 0.104554i 0.0123218 + 0.0213419i
\(25\) 2.08983 + 3.61970i 0.417967 + 0.723940i
\(26\) 1.00426 1.73943i 0.196952 0.341131i
\(27\) −5.11133 −0.983675
\(28\) 4.40025 3.09883i 0.831569 0.585624i
\(29\) 3.25799 0.604994 0.302497 0.953150i \(-0.402180\pi\)
0.302497 + 0.953150i \(0.402180\pi\)
\(30\) 1.60001 2.77129i 0.292120 0.505966i
\(31\) −0.785250 1.36009i −0.141035 0.244280i 0.786852 0.617142i \(-0.211710\pi\)
−0.927887 + 0.372862i \(0.878376\pi\)
\(32\) −4.01588 6.95570i −0.709913 1.22961i
\(33\) −0.630060 + 1.09130i −0.109679 + 0.189970i
\(34\) −4.72459 −0.810261
\(35\) −2.17452 1.00686i −0.367562 0.170190i
\(36\) 0.191778 0.0319631
\(37\) −2.60441 + 4.51098i −0.428163 + 0.741600i −0.996710 0.0810508i \(-0.974172\pi\)
0.568547 + 0.822651i \(0.307506\pi\)
\(38\) 6.66419 + 11.5427i 1.08108 + 1.87248i
\(39\) −0.879528 1.52339i −0.140837 0.243937i
\(40\) 0.0310809 0.0538337i 0.00491432 0.00851185i
\(41\) 4.92168 0.768637 0.384318 0.923201i \(-0.374437\pi\)
0.384318 + 0.923201i \(0.374437\pi\)
\(42\) −0.839850 9.30992i −0.129592 1.43655i
\(43\) −9.43766 −1.43923 −0.719615 0.694373i \(-0.755682\pi\)
−0.719615 + 0.694373i \(0.755682\pi\)
\(44\) −0.728600 + 1.26197i −0.109841 + 0.190250i
\(45\) −0.0426950 0.0739499i −0.00636459 0.0110238i
\(46\) 3.77508 + 6.53863i 0.556605 + 0.964068i
\(47\) 4.15993 7.20521i 0.606788 1.05099i −0.384978 0.922926i \(-0.625791\pi\)
0.991766 0.128062i \(-0.0408758\pi\)
\(48\) −6.91395 −0.997943
\(49\) −6.88699 + 1.25275i −0.983856 + 0.178964i
\(50\) 8.39497 1.18723
\(51\) −2.06889 + 3.58342i −0.289702 + 0.501779i
\(52\) −1.01709 1.76164i −0.141044 0.244296i
\(53\) −7.04163 12.1965i −0.967243 1.67531i −0.703465 0.710729i \(-0.748365\pi\)
−0.263777 0.964584i \(-0.584968\pi\)
\(54\) −5.13311 + 8.89081i −0.698528 + 1.20989i
\(55\) 0.648824 0.0874874
\(56\) −0.0163145 0.180850i −0.00218012 0.0241671i
\(57\) 11.6729 1.54612
\(58\) 3.27188 5.66706i 0.429619 0.744122i
\(59\) −0.358181 0.620387i −0.0466311 0.0807675i 0.841768 0.539840i \(-0.181515\pi\)
−0.888399 + 0.459072i \(0.848182\pi\)
\(60\) −1.62044 2.80668i −0.209197 0.362340i
\(61\) 5.82633 10.0915i 0.745986 1.29208i −0.203747 0.979024i \(-0.565312\pi\)
0.949733 0.313061i \(-0.101355\pi\)
\(62\) −3.15439 −0.400607
\(63\) −0.226351 0.104806i −0.0285175 0.0132043i
\(64\) −8.27099 −1.03387
\(65\) −0.452861 + 0.784378i −0.0561705 + 0.0972901i
\(66\) 1.26549 + 2.19189i 0.155771 + 0.269803i
\(67\) −4.69587 8.13349i −0.573692 0.993664i −0.996182 0.0872964i \(-0.972177\pi\)
0.422490 0.906367i \(-0.361156\pi\)
\(68\) −2.39246 + 4.14386i −0.290128 + 0.502517i
\(69\) 6.61239 0.796038
\(70\) −3.93516 + 2.77129i −0.470341 + 0.331233i
\(71\) 10.9914 1.30444 0.652220 0.758030i \(-0.273838\pi\)
0.652220 + 0.758030i \(0.273838\pi\)
\(72\) 0.00323527 0.00560366i 0.000381281 0.000660397i
\(73\) 1.73650 + 3.00771i 0.203242 + 0.352025i 0.949571 0.313552i \(-0.101519\pi\)
−0.746329 + 0.665577i \(0.768186\pi\)
\(74\) 5.23103 + 9.06041i 0.608095 + 1.05325i
\(75\) 3.67614 6.36725i 0.424484 0.735227i
\(76\) 13.4986 1.54839
\(77\) 1.54961 1.09130i 0.176594 0.124365i
\(78\) −3.53311 −0.400046
\(79\) −6.50408 + 11.2654i −0.731766 + 1.26746i 0.224361 + 0.974506i \(0.427970\pi\)
−0.956128 + 0.292950i \(0.905363\pi\)
\(80\) 1.77997 + 3.08299i 0.199006 + 0.344689i
\(81\) 4.63697 + 8.03147i 0.515219 + 0.892386i
\(82\) 4.94265 8.56093i 0.545825 0.945396i
\(83\) 3.54083 0.388656 0.194328 0.980937i \(-0.437747\pi\)
0.194328 + 0.980937i \(0.437747\pi\)
\(84\) −8.59086 3.97778i −0.937340 0.434011i
\(85\) 2.13050 0.231085
\(86\) −9.47789 + 16.4162i −1.02203 + 1.77020i
\(87\) −2.86550 4.96318i −0.307213 0.532109i
\(88\) 0.0245828 + 0.0425786i 0.00262053 + 0.00453889i
\(89\) −6.02503 + 10.4357i −0.638651 + 1.10618i 0.347077 + 0.937836i \(0.387174\pi\)
−0.985729 + 0.168340i \(0.946159\pi\)
\(90\) −0.171508 −0.0180785
\(91\) 0.237709 + 2.63505i 0.0249186 + 0.276228i
\(92\) 7.64656 0.797209
\(93\) −1.38130 + 2.39248i −0.143234 + 0.248088i
\(94\) −8.35532 14.4718i −0.861786 1.49266i
\(95\) −3.00514 5.20506i −0.308321 0.534028i
\(96\) −7.06415 + 12.2355i −0.720982 + 1.24878i
\(97\) 7.43766 0.755180 0.377590 0.925973i \(-0.376753\pi\)
0.377590 + 0.925973i \(0.376753\pi\)
\(98\) −4.73727 + 13.2375i −0.478537 + 1.33719i
\(99\) 0.0675374 0.00678776
\(100\) 4.25108 7.36309i 0.425108 0.736309i
\(101\) 0.599526 + 1.03841i 0.0596551 + 0.103326i 0.894311 0.447447i \(-0.147667\pi\)
−0.834656 + 0.550772i \(0.814333\pi\)
\(102\) 4.15541 + 7.19739i 0.411447 + 0.712647i
\(103\) 7.20615 12.4814i 0.710043 1.22983i −0.254797 0.966995i \(-0.582009\pi\)
0.964840 0.262837i \(-0.0846580\pi\)
\(104\) −0.0686323 −0.00672995
\(105\) 0.378721 + 4.19820i 0.0369594 + 0.409703i
\(106\) −28.2866 −2.74744
\(107\) −6.79661 + 11.7721i −0.657053 + 1.13805i 0.324322 + 0.945947i \(0.394864\pi\)
−0.981375 + 0.192102i \(0.938469\pi\)
\(108\) 5.19866 + 9.00434i 0.500241 + 0.866443i
\(109\) 6.86241 + 11.8860i 0.657299 + 1.13848i 0.981312 + 0.192423i \(0.0616346\pi\)
−0.324013 + 0.946053i \(0.605032\pi\)
\(110\) 0.651589 1.12859i 0.0621266 0.107606i
\(111\) 9.16262 0.869677
\(112\) 9.43662 + 4.36939i 0.891677 + 0.412868i
\(113\) −3.25799 −0.306486 −0.153243 0.988189i \(-0.548972\pi\)
−0.153243 + 0.988189i \(0.548972\pi\)
\(114\) 11.7227 20.3043i 1.09793 1.90167i
\(115\) −1.70233 2.94852i −0.158743 0.274951i
\(116\) −3.31366 5.73942i −0.307665 0.532892i
\(117\) −0.0471392 + 0.0816475i −0.00435802 + 0.00754831i
\(118\) −1.43883 −0.132455
\(119\) 5.08836 3.58342i 0.466449 0.328492i
\(120\) −0.109346 −0.00998189
\(121\) 5.24341 9.08186i 0.476674 0.825623i
\(122\) −11.7023 20.2690i −1.05948 1.83507i
\(123\) −4.32875 7.49762i −0.390310 0.676037i
\(124\) −1.59733 + 2.76666i −0.143445 + 0.248453i
\(125\) −8.31422 −0.743647
\(126\) −0.409618 + 0.288469i −0.0364917 + 0.0256989i
\(127\) −0.950834 −0.0843729 −0.0421865 0.999110i \(-0.513432\pi\)
−0.0421865 + 0.999110i \(0.513432\pi\)
\(128\) −0.274489 + 0.475429i −0.0242617 + 0.0420224i
\(129\) 8.30069 + 14.3772i 0.730835 + 1.26584i
\(130\) 0.909582 + 1.57544i 0.0797756 + 0.138175i
\(131\) 9.40980 16.2983i 0.822138 1.42399i −0.0819487 0.996637i \(-0.526114\pi\)
0.904087 0.427349i \(-0.140552\pi\)
\(132\) 2.56330 0.223106
\(133\) −15.9320 7.37690i −1.38148 0.639658i
\(134\) −18.8635 −1.62956
\(135\) 2.31472 4.00921i 0.199219 0.345058i
\(136\) 0.0807209 + 0.139813i 0.00692176 + 0.0119888i
\(137\) −3.09090 5.35359i −0.264073 0.457388i 0.703247 0.710945i \(-0.251733\pi\)
−0.967320 + 0.253557i \(0.918399\pi\)
\(138\) 6.64057 11.5018i 0.565283 0.979099i
\(139\) −4.00000 −0.339276 −0.169638 0.985506i \(-0.554260\pi\)
−0.169638 + 0.985506i \(0.554260\pi\)
\(140\) 0.437952 + 4.85480i 0.0370137 + 0.410305i
\(141\) −14.6351 −1.23250
\(142\) 11.0383 19.1188i 0.926309 1.60441i
\(143\) −0.358181 0.620387i −0.0299526 0.0518794i
\(144\) 0.185280 + 0.320915i 0.0154400 + 0.0267429i
\(145\) −1.47542 + 2.55550i −0.122527 + 0.212223i
\(146\) 6.97560 0.577305
\(147\) 7.96572 + 9.38972i 0.657002 + 0.774451i
\(148\) 10.5956 0.870956
\(149\) 10.5385 18.2533i 0.863351 1.49537i −0.00532425 0.999986i \(-0.501695\pi\)
0.868675 0.495382i \(-0.164972\pi\)
\(150\) −7.38361 12.7888i −0.602869 1.04420i
\(151\) 7.86171 + 13.6169i 0.639777 + 1.10813i 0.985481 + 0.169783i \(0.0543067\pi\)
−0.345704 + 0.938344i \(0.612360\pi\)
\(152\) 0.227719 0.394421i 0.0184705 0.0319918i
\(153\) 0.221768 0.0179289
\(154\) −0.342022 3.79139i −0.0275609 0.305519i
\(155\) 1.42244 0.114253
\(156\) −1.78911 + 3.09883i −0.143243 + 0.248105i
\(157\) 3.89250 + 6.74200i 0.310655 + 0.538070i 0.978504 0.206226i \(-0.0661183\pi\)
−0.667849 + 0.744297i \(0.732785\pi\)
\(158\) 13.0636 + 22.6268i 1.03928 + 1.80009i
\(159\) −12.3866 + 21.4543i −0.982323 + 1.70143i
\(160\) 7.27453 0.575102
\(161\) −9.02503 4.17881i −0.711272 0.329336i
\(162\) 18.6269 1.46347
\(163\) −0.844956 + 1.46351i −0.0661820 + 0.114631i −0.897218 0.441588i \(-0.854415\pi\)
0.831036 + 0.556219i \(0.187748\pi\)
\(164\) −5.00576 8.67024i −0.390884 0.677032i
\(165\) −0.570659 0.988410i −0.0444257 0.0769476i
\(166\) 3.55592 6.15903i 0.275993 0.478034i
\(167\) −21.8667 −1.69210 −0.846049 0.533105i \(-0.821025\pi\)
−0.846049 + 0.533105i \(0.821025\pi\)
\(168\) −0.261155 + 0.183916i −0.0201486 + 0.0141894i
\(169\) 1.00000 0.0769231
\(170\) 2.13958 3.70587i 0.164099 0.284227i
\(171\) −0.312812 0.541805i −0.0239213 0.0414329i
\(172\) 9.59891 + 16.6258i 0.731910 + 1.26770i
\(173\) −2.92061 + 5.05865i −0.222050 + 0.384602i −0.955430 0.295217i \(-0.904608\pi\)
0.733380 + 0.679819i \(0.237942\pi\)
\(174\) −11.5108 −0.872634
\(175\) −9.04132 + 6.36725i −0.683460 + 0.481319i
\(176\) −2.81565 −0.212238
\(177\) −0.630060 + 1.09130i −0.0473582 + 0.0820268i
\(178\) 12.1014 + 20.9603i 0.907039 + 1.57104i
\(179\) −1.26714 2.19475i −0.0947103 0.164043i 0.814777 0.579774i \(-0.196859\pi\)
−0.909488 + 0.415731i \(0.863526\pi\)
\(180\) −0.0868489 + 0.150427i −0.00647333 + 0.0112121i
\(181\) −10.7248 −0.797169 −0.398585 0.917132i \(-0.630498\pi\)
−0.398585 + 0.917132i \(0.630498\pi\)
\(182\) 4.82222 + 2.23280i 0.357447 + 0.165506i
\(183\) −20.4977 −1.51523
\(184\) 0.128996 0.223428i 0.00950974 0.0164714i
\(185\) −2.35887 4.08569i −0.173428 0.300386i
\(186\) 2.77437 + 4.80535i 0.203427 + 0.352345i
\(187\) −0.842538 + 1.45932i −0.0616125 + 0.106716i
\(188\) −16.9240 −1.23431
\(189\) −1.21501 13.4686i −0.0883787 0.979697i
\(190\) −12.0718 −0.875781
\(191\) 0.839303 1.45371i 0.0607298 0.105187i −0.834062 0.551671i \(-0.813991\pi\)
0.894792 + 0.446484i \(0.147324\pi\)
\(192\) 7.27457 + 12.5999i 0.524997 + 0.909321i
\(193\) 3.22408 + 5.58427i 0.232074 + 0.401964i 0.958418 0.285367i \(-0.0921154\pi\)
−0.726344 + 0.687331i \(0.758782\pi\)
\(194\) 7.46936 12.9373i 0.536269 0.928845i
\(195\) 1.59322 0.114093
\(196\) 9.21155 + 10.8583i 0.657968 + 0.775590i
\(197\) 1.87251 0.133411 0.0667054 0.997773i \(-0.478751\pi\)
0.0667054 + 0.997773i \(0.478751\pi\)
\(198\) 0.0678252 0.117477i 0.00482013 0.00834871i
\(199\) 5.69833 + 9.86979i 0.403944 + 0.699651i 0.994198 0.107566i \(-0.0343058\pi\)
−0.590254 + 0.807217i \(0.700972\pi\)
\(200\) −0.143430 0.248428i −0.0101420 0.0175665i
\(201\) −8.26030 + 14.3073i −0.582637 + 1.00916i
\(202\) 2.40833 0.169449
\(203\) 0.774453 + 8.58498i 0.0543559 + 0.602547i
\(204\) 8.41694 0.589304
\(205\) −2.22883 + 3.86045i −0.155669 + 0.269626i
\(206\) −14.4737 25.0692i −1.00843 1.74666i
\(207\) −0.177199 0.306918i −0.0123162 0.0213322i
\(208\) 1.96525 3.40391i 0.136265 0.236018i
\(209\) 4.75371 0.328821
\(210\) 7.68283 + 3.55734i 0.530166 + 0.245480i
\(211\) 7.53599 0.518799 0.259400 0.965770i \(-0.416475\pi\)
0.259400 + 0.965770i \(0.416475\pi\)
\(212\) −14.3239 + 24.8097i −0.983768 + 1.70394i
\(213\) −9.66725 16.7442i −0.662389 1.14729i
\(214\) 13.6512 + 23.6445i 0.933174 + 1.61630i
\(215\) 4.27395 7.40269i 0.291481 0.504859i
\(216\) 0.350802 0.0238691
\(217\) 3.39725 2.39248i 0.230621 0.162412i
\(218\) 27.5666 1.86705
\(219\) 3.05460 5.29072i 0.206411 0.357514i
\(220\) −0.659909 1.14300i −0.0444911 0.0770608i
\(221\) −1.17614 2.03713i −0.0791154 0.137032i
\(222\) 9.20167 15.9378i 0.617576 1.06967i
\(223\) 17.6349 1.18092 0.590459 0.807067i \(-0.298947\pi\)
0.590459 + 0.807067i \(0.298947\pi\)
\(224\) 17.3740 12.2355i 1.16085 0.817517i
\(225\) −0.394052 −0.0262702
\(226\) −3.27188 + 5.66706i −0.217642 + 0.376967i
\(227\) 2.66452 + 4.61509i 0.176851 + 0.306314i 0.940800 0.338962i \(-0.110076\pi\)
−0.763950 + 0.645276i \(0.776742\pi\)
\(228\) −11.8724 20.5636i −0.786267 1.36185i
\(229\) 4.25950 7.37767i 0.281476 0.487530i −0.690273 0.723549i \(-0.742509\pi\)
0.971748 + 0.236019i \(0.0758428\pi\)
\(230\) −6.83834 −0.450907
\(231\) −3.02539 1.40083i −0.199056 0.0921678i
\(232\) −0.223604 −0.0146803
\(233\) −2.37685 + 4.11683i −0.155713 + 0.269703i −0.933318 0.359050i \(-0.883101\pi\)
0.777605 + 0.628752i \(0.216434\pi\)
\(234\) 0.0946802 + 0.163991i 0.00618944 + 0.0107204i
\(235\) 3.76774 + 6.52592i 0.245780 + 0.425704i
\(236\) −0.728600 + 1.26197i −0.0474278 + 0.0821474i
\(237\) 22.8821 1.48635
\(238\) −1.12308 12.4495i −0.0727983 0.806984i
\(239\) 14.8314 0.959365 0.479682 0.877442i \(-0.340752\pi\)
0.479682 + 0.877442i \(0.340752\pi\)
\(240\) 3.13106 5.42315i 0.202109 0.350063i
\(241\) 3.06066 + 5.30121i 0.197154 + 0.341481i 0.947605 0.319446i \(-0.103497\pi\)
−0.750450 + 0.660927i \(0.770163\pi\)
\(242\) −10.5315 18.2411i −0.676992 1.17258i
\(243\) 0.489705 0.848195i 0.0314146 0.0544117i
\(244\) −23.7035 −1.51746
\(245\) 2.13622 5.96932i 0.136478 0.381366i
\(246\) −17.3888 −1.10867
\(247\) −3.31796 + 5.74687i −0.211116 + 0.365664i
\(248\) 0.0538935 + 0.0933463i 0.00342224 + 0.00592750i
\(249\) −3.11426 5.39405i −0.197358 0.341834i
\(250\) −8.34966 + 14.4620i −0.528079 + 0.914660i
\(251\) −13.9708 −0.881832 −0.440916 0.897548i \(-0.645346\pi\)
−0.440916 + 0.897548i \(0.645346\pi\)
\(252\) 0.0455874 + 0.505346i 0.00287173 + 0.0318338i
\(253\) 2.69284 0.169298
\(254\) −0.954887 + 1.65391i −0.0599149 + 0.103776i
\(255\) −1.87384 3.24558i −0.117344 0.203246i
\(256\) −7.71967 13.3709i −0.482479 0.835679i
\(257\) −8.63253 + 14.9520i −0.538482 + 0.932679i 0.460504 + 0.887658i \(0.347669\pi\)
−0.998986 + 0.0450210i \(0.985665\pi\)
\(258\) 33.3443 2.07592
\(259\) −12.5057 5.79047i −0.777069 0.359802i
\(260\) 1.84239 0.114260
\(261\) −0.153579 + 0.266007i −0.00950631 + 0.0164654i
\(262\) −18.8998 32.7354i −1.16763 2.02240i
\(263\) 1.30336 + 2.25749i 0.0803687 + 0.139203i 0.903408 0.428781i \(-0.141057\pi\)
−0.823040 + 0.567984i \(0.807724\pi\)
\(264\) 0.0432425 0.0748982i 0.00266139 0.00460966i
\(265\) 12.7555 0.783565
\(266\) −28.8315 + 20.3043i −1.76777 + 1.24494i
\(267\) 21.1967 1.29722
\(268\) −9.55221 + 16.5449i −0.583494 + 1.01064i
\(269\) 7.24477 + 12.5483i 0.441721 + 0.765084i 0.997817 0.0660343i \(-0.0210347\pi\)
−0.556096 + 0.831118i \(0.687701\pi\)
\(270\) −4.64917 8.05260i −0.282940 0.490066i
\(271\) 4.31796 7.47892i 0.262297 0.454312i −0.704555 0.709650i \(-0.748853\pi\)
0.966852 + 0.255338i \(0.0821866\pi\)
\(272\) −9.24558 −0.560596
\(273\) 3.80513 2.67972i 0.230297 0.162184i
\(274\) −12.4163 −0.750095
\(275\) 1.49708 2.59301i 0.0902771 0.156364i
\(276\) −6.72537 11.6487i −0.404819 0.701168i
\(277\) −6.11349 10.5889i −0.367324 0.636223i 0.621822 0.783158i \(-0.286393\pi\)
−0.989146 + 0.146935i \(0.953059\pi\)
\(278\) −4.01705 + 6.95773i −0.240927 + 0.417297i
\(279\) 0.148064 0.00886437
\(280\) 0.149243 + 0.0691030i 0.00891896 + 0.00412970i
\(281\) −24.1822 −1.44259 −0.721293 0.692630i \(-0.756452\pi\)
−0.721293 + 0.692630i \(0.756452\pi\)
\(282\) −14.6975 + 25.4568i −0.875222 + 1.51593i
\(283\) 15.3842 + 26.6461i 0.914493 + 1.58395i 0.807642 + 0.589674i \(0.200744\pi\)
0.106851 + 0.994275i \(0.465923\pi\)
\(284\) −11.1792 19.3629i −0.663363 1.14898i
\(285\) −5.28622 + 9.15599i −0.313128 + 0.542354i
\(286\) −1.43883 −0.0850797
\(287\) 1.16992 + 12.9689i 0.0690585 + 0.765528i
\(288\) 0.757221 0.0446197
\(289\) 5.73341 9.93056i 0.337259 0.584150i
\(290\) 2.96341 + 5.13278i 0.174018 + 0.301407i
\(291\) −6.54163 11.3304i −0.383477 0.664202i
\(292\) 3.53234 6.11819i 0.206714 0.358040i
\(293\) −31.8295 −1.85950 −0.929749 0.368193i \(-0.879976\pi\)
−0.929749 + 0.368193i \(0.879976\pi\)
\(294\) 24.3325 4.42610i 1.41910 0.258135i
\(295\) 0.648824 0.0377760
\(296\) 0.178747 0.309599i 0.0103895 0.0179951i
\(297\) 1.83078 + 3.17100i 0.106233 + 0.184000i
\(298\) −21.1669 36.6622i −1.22617 2.12378i
\(299\) −1.87953 + 3.25544i −0.108696 + 0.188267i
\(300\) −14.9558 −0.863472
\(301\) −2.24341 24.8687i −0.129308 1.43341i
\(302\) 31.5809 1.81728
\(303\) 1.05460 1.82662i 0.0605852 0.104937i
\(304\) 13.0412 + 22.5880i 0.747964 + 1.29551i
\(305\) 5.27704 + 9.14010i 0.302162 + 0.523360i
\(306\) 0.222714 0.385751i 0.0127317 0.0220519i
\(307\) 28.7884 1.64304 0.821520 0.570179i \(-0.193126\pi\)
0.821520 + 0.570179i \(0.193126\pi\)
\(308\) −3.49856 1.61992i −0.199349 0.0923034i
\(309\) −25.3521 −1.44223
\(310\) 1.42850 2.47423i 0.0811332 0.140527i
\(311\) −2.75931 4.77927i −0.156466 0.271007i 0.777126 0.629345i \(-0.216677\pi\)
−0.933592 + 0.358338i \(0.883344\pi\)
\(312\) 0.0603641 + 0.104554i 0.00341744 + 0.00591918i
\(313\) 2.42399 4.19848i 0.137012 0.237312i −0.789352 0.613941i \(-0.789583\pi\)
0.926364 + 0.376629i \(0.122917\pi\)
\(314\) 15.6363 0.882410
\(315\) 0.184713 0.130082i 0.0104074 0.00732929i
\(316\) 26.4608 1.48854
\(317\) 3.82756 6.62952i 0.214977 0.372351i −0.738288 0.674485i \(-0.764366\pi\)
0.953265 + 0.302134i \(0.0976990\pi\)
\(318\) 24.8788 + 43.0914i 1.39514 + 2.41645i
\(319\) −1.16695 2.02122i −0.0653366 0.113166i
\(320\) 3.74561 6.48758i 0.209386 0.362667i
\(321\) 23.9112 1.33459
\(322\) −16.3322 + 11.5018i −0.910161 + 0.640971i
\(323\) 15.6095 0.868534
\(324\) 9.43239 16.3374i 0.524022 0.907633i
\(325\) 2.08983 + 3.61970i 0.115923 + 0.200785i
\(326\) 1.69711 + 2.93949i 0.0939945 + 0.162803i
\(327\) 12.0714 20.9082i 0.667548 1.15623i
\(328\) −0.337786 −0.0186511
\(329\) 19.9750 + 9.24889i 1.10125 + 0.509908i
\(330\) −2.29236 −0.126190
\(331\) −5.67159 + 9.82348i −0.311739 + 0.539947i −0.978739 0.205110i \(-0.934245\pi\)
0.667000 + 0.745058i \(0.267578\pi\)
\(332\) −3.60132 6.23768i −0.197648 0.342337i
\(333\) −0.245540 0.425288i −0.0134555 0.0233056i
\(334\) −21.9599 + 38.0357i −1.20159 + 2.08122i
\(335\) 8.50631 0.464749
\(336\) −1.64351 18.2186i −0.0896606 0.993907i
\(337\) 1.74149 0.0948649 0.0474324 0.998874i \(-0.484896\pi\)
0.0474324 + 0.998874i \(0.484896\pi\)
\(338\) 1.00426 1.73943i 0.0546247 0.0946127i
\(339\) 2.86550 + 4.96318i 0.155632 + 0.269563i
\(340\) −2.16690 3.75319i −0.117517 0.203545i
\(341\) −0.562522 + 0.974317i −0.0304623 + 0.0527622i
\(342\) −1.25658 −0.0679480
\(343\) −4.93815 17.8498i −0.266635 0.963798i
\(344\) 0.647729 0.0349232
\(345\) −2.99449 + 5.18661i −0.161218 + 0.279238i
\(346\) 5.86612 + 10.1604i 0.315365 + 0.546228i
\(347\) −10.5251 18.2301i −0.565019 0.978641i −0.997048 0.0767814i \(-0.975536\pi\)
0.432029 0.901860i \(-0.357798\pi\)
\(348\) −5.82891 + 10.0960i −0.312462 + 0.541200i
\(349\) −8.35601 −0.447287 −0.223643 0.974671i \(-0.571795\pi\)
−0.223643 + 0.974671i \(0.571795\pi\)
\(350\) 1.99556 + 22.1212i 0.106667 + 1.18243i
\(351\) −5.11133 −0.272822
\(352\) −2.87682 + 4.98279i −0.153335 + 0.265584i
\(353\) 4.26677 + 7.39027i 0.227097 + 0.393344i 0.956947 0.290264i \(-0.0937431\pi\)
−0.729849 + 0.683608i \(0.760410\pi\)
\(354\) 1.26549 + 2.19189i 0.0672601 + 0.116498i
\(355\) −4.97758 + 8.62141i −0.264182 + 0.457577i
\(356\) 24.5119 1.29913
\(357\) −9.93429 4.59982i −0.525778 0.243448i
\(358\) −5.09015 −0.269023
\(359\) 8.08565 14.0047i 0.426744 0.739142i −0.569837 0.821757i \(-0.692994\pi\)
0.996582 + 0.0826150i \(0.0263272\pi\)
\(360\) 0.00293026 + 0.00507535i 0.000154438 + 0.000267495i
\(361\) −12.5177 21.6812i −0.658824 1.14112i
\(362\) −10.7705 + 18.6551i −0.566086 + 0.980490i
\(363\) −18.4469 −0.968212
\(364\) 4.40025 3.09883i 0.230636 0.162423i
\(365\) −3.14557 −0.164647
\(366\) −20.5851 + 35.6544i −1.07600 + 1.86368i
\(367\) −14.0770 24.3821i −0.734813 1.27273i −0.954805 0.297232i \(-0.903936\pi\)
0.219992 0.975502i \(-0.429397\pi\)
\(368\) 7.38747 + 12.7955i 0.385098 + 0.667010i
\(369\) −0.232004 + 0.401842i −0.0120776 + 0.0209191i
\(370\) −9.47571 −0.492619
\(371\) 30.4644 21.4543i 1.58164 1.11385i
\(372\) 5.61959 0.291362
\(373\) 14.2518 24.6849i 0.737932 1.27814i −0.215493 0.976505i \(-0.569136\pi\)
0.953425 0.301630i \(-0.0975308\pi\)
\(374\) 1.69226 + 2.93108i 0.0875046 + 0.151562i
\(375\) 7.31259 + 12.6658i 0.377621 + 0.654058i
\(376\) −0.285506 + 0.494511i −0.0147238 + 0.0255024i
\(377\) 3.25799 0.167795
\(378\) −24.6479 11.4126i −1.26775 0.587000i
\(379\) −7.26263 −0.373056 −0.186528 0.982450i \(-0.559724\pi\)
−0.186528 + 0.982450i \(0.559724\pi\)
\(380\) −6.11297 + 10.5880i −0.313589 + 0.543152i
\(381\) 0.836286 + 1.44849i 0.0428442 + 0.0742083i
\(382\) −1.68576 2.91982i −0.0862510 0.149391i
\(383\) −6.46627 + 11.1999i −0.330411 + 0.572289i −0.982592 0.185774i \(-0.940521\pi\)
0.652181 + 0.758063i \(0.273854\pi\)
\(384\) 0.965684 0.0492799
\(385\) 0.154231 + 1.70968i 0.00786034 + 0.0871336i
\(386\) 12.9513 0.659203
\(387\) 0.444884 0.770561i 0.0226147 0.0391698i
\(388\) −7.56474 13.1025i −0.384041 0.665179i
\(389\) 10.5679 + 18.3041i 0.535811 + 0.928053i 0.999124 + 0.0418574i \(0.0133275\pi\)
−0.463312 + 0.886195i \(0.653339\pi\)
\(390\) 1.60001 2.77129i 0.0810194 0.140330i
\(391\) 8.84232 0.447175
\(392\) 0.472670 0.0859791i 0.0238734 0.00434260i
\(393\) −33.1047 −1.66991
\(394\) 1.88049 3.25711i 0.0947378 0.164091i
\(395\) −5.89089 10.2033i −0.296403 0.513384i
\(396\) −0.0686913 0.118977i −0.00345187 0.00597881i
\(397\) −9.60366 + 16.6340i −0.481994 + 0.834838i −0.999786 0.0206683i \(-0.993421\pi\)
0.517792 + 0.855506i \(0.326754\pi\)
\(398\) 22.8905 1.14740
\(399\) 2.77476 + 30.7588i 0.138912 + 1.53987i
\(400\) 16.4282 0.821408
\(401\) −8.33460 + 14.4360i −0.416210 + 0.720897i −0.995555 0.0941856i \(-0.969975\pi\)
0.579344 + 0.815083i \(0.303309\pi\)
\(402\) 16.5910 + 28.7365i 0.827485 + 1.43325i
\(403\) −0.785250 1.36009i −0.0391161 0.0677510i
\(404\) 1.21954 2.11230i 0.0606743 0.105091i
\(405\) −8.39961 −0.417380
\(406\) 15.7107 + 7.27446i 0.779711 + 0.361025i
\(407\) 3.73140 0.184959
\(408\) 0.141993 0.245939i 0.00702968 0.0121758i
\(409\) −6.17416 10.6940i −0.305293 0.528782i 0.672034 0.740520i \(-0.265421\pi\)
−0.977326 + 0.211738i \(0.932088\pi\)
\(410\) 4.47667 + 7.75382i 0.221087 + 0.382934i
\(411\) −5.43706 + 9.41727i −0.268190 + 0.464520i
\(412\) −29.3171 −1.44435
\(413\) 1.54961 1.09130i 0.0762513 0.0536991i
\(414\) −0.711817 −0.0349839
\(415\) −1.60350 + 2.77735i −0.0787128 + 0.136335i
\(416\) −4.01588 6.95570i −0.196895 0.341031i
\(417\) 3.51811 + 6.09355i 0.172283 + 0.298402i
\(418\) 4.77397 8.26876i 0.233502 0.404438i
\(419\) 4.35934 0.212968 0.106484 0.994314i \(-0.466041\pi\)
0.106484 + 0.994314i \(0.466041\pi\)
\(420\) 7.01055 4.93710i 0.342080 0.240906i
\(421\) −10.0000 −0.487370 −0.243685 0.969854i \(-0.578356\pi\)
−0.243685 + 0.969854i \(0.578356\pi\)
\(422\) 7.56811 13.1084i 0.368410 0.638105i
\(423\) 0.392192 + 0.679296i 0.0190690 + 0.0330285i
\(424\) 0.483284 + 0.837072i 0.0234703 + 0.0406518i
\(425\) 4.91586 8.51451i 0.238454 0.413015i
\(426\) −38.8338 −1.88150
\(427\) 27.9766 + 12.9538i 1.35388 + 0.626881i
\(428\) 27.6509 1.33656
\(429\) −0.630060 + 1.09130i −0.0304196 + 0.0526882i
\(430\) −8.58433 14.8685i −0.413973 0.717022i
\(431\) 11.6813 + 20.2326i 0.562667 + 0.974569i 0.997262 + 0.0739426i \(0.0235582\pi\)
−0.434595 + 0.900626i \(0.643109\pi\)
\(432\) −10.0450 + 17.3985i −0.483291 + 0.837084i
\(433\) −2.71285 −0.130371 −0.0651856 0.997873i \(-0.520764\pi\)
−0.0651856 + 0.997873i \(0.520764\pi\)
\(434\) −0.749825 8.31197i −0.0359927 0.398987i
\(435\) 5.19068 0.248874
\(436\) 13.9593 24.1782i 0.668529 1.15793i
\(437\) −12.4724 21.6028i −0.596635 1.03340i
\(438\) −6.13524 10.6265i −0.293153 0.507756i
\(439\) 4.41760 7.65150i 0.210840 0.365186i −0.741137 0.671353i \(-0.765713\pi\)
0.951978 + 0.306167i \(0.0990467\pi\)
\(440\) −0.0445303 −0.00212290
\(441\) 0.222363 0.621359i 0.0105887 0.0295885i
\(442\) −4.72459 −0.224726
\(443\) 1.45279 2.51630i 0.0690240 0.119553i −0.829448 0.558584i \(-0.811345\pi\)
0.898472 + 0.439031i \(0.144678\pi\)
\(444\) −9.31917 16.1413i −0.442268 0.766031i
\(445\) −5.45700 9.45179i −0.258686 0.448058i
\(446\) 17.7100 30.6747i 0.838595 1.45249i
\(447\) −37.0758 −1.75362
\(448\) −1.96609 21.7945i −0.0928888 1.02969i
\(449\) −15.2777 −0.720998 −0.360499 0.932760i \(-0.617394\pi\)
−0.360499 + 0.932760i \(0.617394\pi\)
\(450\) −0.395732 + 0.685428i −0.0186550 + 0.0323114i
\(451\) −1.76285 3.05334i −0.0830093 0.143776i
\(452\) 3.31366 + 5.73942i 0.155861 + 0.269960i
\(453\) 13.8292 23.9529i 0.649752 1.12540i
\(454\) 10.7035 0.502341
\(455\) −2.17452 1.00686i −0.101943 0.0472022i
\(456\) −0.801141 −0.0375169
\(457\) −11.8300 + 20.4902i −0.553384 + 0.958489i 0.444643 + 0.895708i \(0.353330\pi\)
−0.998027 + 0.0627815i \(0.980003\pi\)
\(458\) −8.55531 14.8182i −0.399763 0.692410i
\(459\) 6.01161 + 10.4124i 0.280598 + 0.486010i
\(460\) −3.46283 + 5.99779i −0.161455 + 0.279649i
\(461\) −26.6170 −1.23968 −0.619839 0.784729i \(-0.712802\pi\)
−0.619839 + 0.784729i \(0.712802\pi\)
\(462\) −5.47493 + 3.85566i −0.254717 + 0.179382i
\(463\) −1.44250 −0.0670385 −0.0335193 0.999438i \(-0.510672\pi\)
−0.0335193 + 0.999438i \(0.510672\pi\)
\(464\) 6.40276 11.0899i 0.297240 0.514836i
\(465\) −1.25107 2.16692i −0.0580171 0.100488i
\(466\) 4.77397 + 8.26876i 0.221150 + 0.383043i
\(467\) 4.19480 7.26560i 0.194112 0.336212i −0.752497 0.658596i \(-0.771151\pi\)
0.946609 + 0.322384i \(0.104484\pi\)
\(468\) 0.191778 0.00886496
\(469\) 20.3159 14.3073i 0.938102 0.660648i
\(470\) 15.1352 0.698135
\(471\) 6.84712 11.8596i 0.315499 0.546460i
\(472\) 0.0245828 + 0.0425786i 0.00113151 + 0.00195984i
\(473\) 3.38039 + 5.85500i 0.155430 + 0.269213i
\(474\) 22.9796 39.8019i 1.05549 1.82816i
\(475\) −27.7359 −1.27261
\(476\) −11.4880 5.31922i −0.526552 0.243806i
\(477\) 1.32775 0.0607934
\(478\) 14.8946 25.7983i 0.681265 1.17999i
\(479\) −6.30608 10.9225i −0.288132 0.499060i 0.685232 0.728325i \(-0.259701\pi\)
−0.973364 + 0.229265i \(0.926368\pi\)
\(480\) −6.39815 11.0819i −0.292034 0.505819i
\(481\) −2.60441 + 4.51098i −0.118751 + 0.205683i
\(482\) 12.2948 0.560013
\(483\) 1.57182 + 17.4240i 0.0715204 + 0.792819i
\(484\) −21.3320 −0.969636
\(485\) −3.36823 + 5.83394i −0.152943 + 0.264905i
\(486\) −0.983585 1.70362i −0.0446163 0.0772778i
\(487\) −10.7840 18.6785i −0.488671 0.846403i 0.511244 0.859435i \(-0.329185\pi\)
−0.999915 + 0.0130329i \(0.995851\pi\)
\(488\) −0.399875 + 0.692604i −0.0181015 + 0.0313527i
\(489\) 2.97265 0.134428
\(490\) −8.23791 9.71058i −0.372151 0.438679i
\(491\) 39.2347 1.77064 0.885318 0.464987i \(-0.153941\pi\)
0.885318 + 0.464987i \(0.153941\pi\)
\(492\) −8.80542 + 15.2514i −0.396979 + 0.687588i
\(493\) −3.83184 6.63694i −0.172577 0.298913i
\(494\) 6.66419 + 11.5427i 0.299836 + 0.519332i
\(495\) −0.0305850 + 0.0529748i −0.00137469 + 0.00238104i
\(496\) −6.17283 −0.277168
\(497\) 2.61275 + 28.9629i 0.117198 + 1.29916i
\(498\) −12.5101 −0.560592
\(499\) −4.58407 + 7.93984i −0.205211 + 0.355436i −0.950200 0.311641i \(-0.899121\pi\)
0.744989 + 0.667077i \(0.232455\pi\)
\(500\) 8.45627 + 14.6467i 0.378176 + 0.655020i
\(501\) 19.2324 + 33.3115i 0.859240 + 1.48825i
\(502\) −14.0304 + 24.3013i −0.626207 + 1.08462i
\(503\) 24.9370 1.11188 0.555942 0.831221i \(-0.312358\pi\)
0.555942 + 0.831221i \(0.312358\pi\)
\(504\) 0.0155350 + 0.00719307i 0.000691983 + 0.000320405i
\(505\) −1.08601 −0.0483267
\(506\) 2.70432 4.68402i 0.120222 0.208230i
\(507\) −0.879528 1.52339i −0.0390612 0.0676560i
\(508\) 0.967080 + 1.67503i 0.0429072 + 0.0743175i
\(509\) −2.94904 + 5.10788i −0.130714 + 0.226403i −0.923952 0.382509i \(-0.875060\pi\)
0.793238 + 0.608912i \(0.208394\pi\)
\(510\) −7.52730 −0.333314
\(511\) −7.51268 + 5.29072i −0.332341 + 0.234048i
\(512\) −32.1083 −1.41900
\(513\) 16.9592 29.3741i 0.748765 1.29690i
\(514\) 17.3386 + 30.0314i 0.764775 + 1.32463i
\(515\) 6.52677 + 11.3047i 0.287604 + 0.498144i
\(516\) 16.8850 29.2457i 0.743321 1.28747i
\(517\) −5.96003 −0.262122
\(518\) −22.6312 + 15.9378i −0.994357 + 0.700265i
\(519\) 10.2750 0.451024
\(520\) 0.0310809 0.0538337i 0.00136299 0.00236076i
\(521\) 18.5948 + 32.2071i 0.814652 + 1.41102i 0.909578 + 0.415534i \(0.136405\pi\)
−0.0949259 + 0.995484i \(0.530261\pi\)
\(522\) 0.308468 + 0.534281i 0.0135013 + 0.0233849i
\(523\) 2.54540 4.40876i 0.111303 0.192782i −0.804993 0.593284i \(-0.797831\pi\)
0.916296 + 0.400502i \(0.131164\pi\)
\(524\) −38.2823 −1.67237
\(525\) 17.6519 + 8.17325i 0.770392 + 0.356710i
\(526\) 5.23567 0.228286
\(527\) −1.84712 + 3.19931i −0.0804618 + 0.139364i
\(528\) 2.47644 + 4.28933i 0.107773 + 0.186669i
\(529\) 4.43475 + 7.68121i 0.192815 + 0.333966i
\(530\) 12.8099 22.1874i 0.556426 0.963758i
\(531\) 0.0675374 0.00293087
\(532\) 3.20873 + 35.5694i 0.139116 + 1.54213i
\(533\) 4.92168 0.213181
\(534\) 21.2871 36.8703i 0.921181 1.59553i
\(535\) −6.15583 10.6622i −0.266140 0.460968i
\(536\) 0.322289 + 0.558220i 0.0139208 + 0.0241114i
\(537\) −2.22897 + 3.86068i −0.0961870 + 0.166601i
\(538\) 29.1026 1.25470
\(539\) 3.24397 + 3.82389i 0.139728 + 0.164707i
\(540\) −9.41707 −0.405246
\(541\) 0.383425 0.664111i 0.0164847 0.0285524i −0.857665 0.514208i \(-0.828086\pi\)
0.874150 + 0.485656i \(0.161419\pi\)
\(542\) −8.67272 15.0216i −0.372525 0.645232i
\(543\) 9.43277 + 16.3380i 0.404799 + 0.701133i
\(544\) −9.44643 + 16.3617i −0.405012 + 0.701502i
\(545\) −12.4309 −0.532480
\(546\) −0.839850 9.30992i −0.0359423 0.398428i
\(547\) 14.1428 0.604702 0.302351 0.953197i \(-0.402229\pi\)
0.302351 + 0.953197i \(0.402229\pi\)
\(548\) −6.28741 + 10.8901i −0.268585 + 0.465203i
\(549\) 0.549297 + 0.951411i 0.0234434 + 0.0406052i
\(550\) −3.00691 5.20813i −0.128215 0.222075i
\(551\) −10.8099 + 18.7233i −0.460516 + 0.797637i
\(552\) −0.453824 −0.0193160
\(553\) −31.2310 14.4607i −1.32808 0.614932i
\(554\) −24.5582 −1.04338
\(555\) −4.14939 + 7.18696i −0.176132 + 0.305069i
\(556\) 4.06834 + 7.04657i 0.172536 + 0.298841i
\(557\) 12.4314 + 21.5317i 0.526733 + 0.912329i 0.999515 + 0.0311490i \(0.00991664\pi\)
−0.472782 + 0.881180i \(0.656750\pi\)
\(558\) 0.148695 0.257548i 0.00629477 0.0109029i
\(559\) −9.43766 −0.399171
\(560\) −7.70072 + 5.42315i −0.325415 + 0.229170i
\(561\) 2.96414 0.125146
\(562\) −24.2852 + 42.0633i −1.02441 + 1.77433i
\(563\) −22.0047 38.1133i −0.927388 1.60628i −0.787675 0.616091i \(-0.788715\pi\)
−0.139713 0.990192i \(-0.544618\pi\)
\(564\) 14.8852 + 25.7818i 0.626778 + 1.08561i
\(565\) 1.47542 2.55550i 0.0620713 0.107511i
\(566\) 61.7989 2.59760
\(567\) −20.0611 + 14.1278i −0.842487 + 0.593312i
\(568\) −0.754366 −0.0316525
\(569\) 16.6308 28.8054i 0.697199 1.20758i −0.272235 0.962231i \(-0.587763\pi\)
0.969434 0.245353i \(-0.0789040\pi\)
\(570\) 10.6175 + 18.3900i 0.444718 + 0.770274i
\(571\) 6.17699 + 10.6989i 0.258499 + 0.447734i 0.965840 0.259139i \(-0.0834387\pi\)
−0.707341 + 0.706873i \(0.750105\pi\)
\(572\) −0.728600 + 1.26197i −0.0304643 + 0.0527657i
\(573\) −2.95276 −0.123353
\(574\) 23.7334 + 10.9891i 0.990613 + 0.458678i
\(575\) −15.7116 −0.655219
\(576\) 0.389888 0.675306i 0.0162453 0.0281377i
\(577\) 12.9829 + 22.4871i 0.540486 + 0.936150i 0.998876 + 0.0473984i \(0.0150930\pi\)
−0.458390 + 0.888751i \(0.651574\pi\)
\(578\) −11.5157 19.9458i −0.478990 0.829635i
\(579\) 5.67133 9.82304i 0.235693 0.408232i
\(580\) 6.00250 0.249240
\(581\) 0.841685 + 9.33026i 0.0349190 + 0.387085i
\(582\) −26.2781 −1.08926
\(583\) −5.04435 + 8.73707i −0.208916 + 0.361853i
\(584\) −0.119180 0.206426i −0.00493171 0.00854196i
\(585\) −0.0426950 0.0739499i −0.00176522 0.00305745i
\(586\) −31.9652 + 55.3653i −1.32047 + 2.28712i
\(587\) −23.9747 −0.989543 −0.494771 0.869023i \(-0.664748\pi\)
−0.494771 + 0.869023i \(0.664748\pi\)
\(588\) 8.43953 23.5829i 0.348040 0.972543i
\(589\) 10.4217 0.429418
\(590\) 0.651589 1.12859i 0.0268255 0.0464631i
\(591\) −1.64693 2.85256i −0.0677454 0.117339i
\(592\) 10.2366 + 17.7304i 0.420723 + 0.728713i
\(593\) −23.5240 + 40.7448i −0.966015 + 1.67319i −0.259154 + 0.965836i \(0.583444\pi\)
−0.706862 + 0.707352i \(0.749890\pi\)
\(594\) 7.35433 0.301752
\(595\) 0.506439 + 5.61398i 0.0207620 + 0.230151i
\(596\) −42.8744 −1.75620
\(597\) 10.0237 17.3615i 0.410242 0.710560i
\(598\) 3.77508 + 6.53863i 0.154374 + 0.267384i
\(599\) −10.0868 17.4708i −0.412135 0.713840i 0.582988 0.812481i \(-0.301884\pi\)
−0.995123 + 0.0986415i \(0.968550\pi\)
\(600\) −0.252302 + 0.437000i −0.0103002 + 0.0178404i
\(601\) 29.5773 1.20648 0.603242 0.797558i \(-0.293875\pi\)
0.603242 + 0.797558i \(0.293875\pi\)
\(602\) −45.5105 21.0724i −1.85487 0.858849i
\(603\) 0.885439 0.0360579
\(604\) 15.9921 27.6991i 0.650708 1.12706i
\(605\) 4.74907 + 8.22564i 0.193077 + 0.334420i
\(606\) −2.11819 3.66881i −0.0860456 0.149035i
\(607\) 7.72099 13.3732i 0.313385 0.542799i −0.665708 0.746213i \(-0.731870\pi\)
0.979093 + 0.203413i \(0.0652035\pi\)
\(608\) 53.2980 2.16152
\(609\) 12.3971 8.73052i 0.502356 0.353779i
\(610\) 21.1981 0.858287
\(611\) 4.15993 7.20521i 0.168293 0.291492i
\(612\) −0.225557 0.390677i −0.00911762 0.0157922i
\(613\) −0.997423 1.72759i −0.0402855 0.0697766i 0.845180 0.534482i \(-0.179493\pi\)
−0.885465 + 0.464706i \(0.846160\pi\)
\(614\) 28.9111 50.0755i 1.16676 2.02088i
\(615\) 7.84129 0.316191
\(616\) −0.106353 + 0.0748982i −0.00428510 + 0.00301773i
\(617\) −2.85584 −0.114972 −0.0574858 0.998346i \(-0.518308\pi\)
−0.0574858 + 0.998346i \(0.518308\pi\)
\(618\) −25.4601 + 44.0982i −1.02416 + 1.77389i
\(619\) −15.9911 27.6975i −0.642738 1.11326i −0.984819 0.173585i \(-0.944465\pi\)
0.342080 0.939671i \(-0.388868\pi\)
\(620\) −1.44674 2.50582i −0.0581024 0.100636i
\(621\) 9.60688 16.6396i 0.385511 0.667725i
\(622\) −11.0843 −0.444440
\(623\) −28.9307 13.3956i −1.15908 0.536684i
\(624\) −6.91395 −0.276780
\(625\) −6.68398 + 11.5770i −0.267359 + 0.463080i
\(626\) −4.86865 8.43275i −0.194590 0.337040i
\(627\) −4.18102 7.24174i −0.166974 0.289207i
\(628\) 7.91800 13.7144i 0.315963 0.547263i
\(629\) 12.2526 0.488542
\(630\) −0.0407689 0.451932i −0.00162427 0.0180054i
\(631\) 32.1115 1.27834 0.639169 0.769066i \(-0.279278\pi\)
0.639169 + 0.769066i \(0.279278\pi\)
\(632\) 0.446390 0.773171i 0.0177565 0.0307551i
\(633\) −6.62812 11.4802i −0.263444 0.456298i
\(634\) −7.68774 13.3156i −0.305319 0.528828i
\(635\) 0.430596 0.745814i 0.0170877 0.0295967i
\(636\) 50.3930 1.99821
\(637\) −6.88699 + 1.25275i −0.272872 + 0.0496357i
\(638\) −4.68769 −0.185588
\(639\) −0.518126 + 0.897420i −0.0204967 + 0.0355014i
\(640\) −0.248611 0.430607i −0.00982721 0.0170212i
\(641\) −16.5124 28.6003i −0.652200 1.12964i −0.982588 0.185799i \(-0.940513\pi\)
0.330387 0.943845i \(-0.392821\pi\)
\(642\) 24.0131 41.5920i 0.947723 1.64150i
\(643\) 15.7942 0.622863 0.311432 0.950269i \(-0.399192\pi\)
0.311432 + 0.950269i \(0.399192\pi\)
\(644\) 1.81765 + 20.1491i 0.0716256 + 0.793985i
\(645\) −15.0362 −0.592051
\(646\) 15.6760 27.1516i 0.616764 1.06827i
\(647\) 2.32036 + 4.01898i 0.0912227 + 0.158002i 0.908026 0.418914i \(-0.137589\pi\)
−0.816803 + 0.576916i \(0.804256\pi\)
\(648\) −0.318246 0.551219i −0.0125019 0.0216539i
\(649\) −0.256587 + 0.444421i −0.0100719 + 0.0174451i
\(650\) 8.39497 0.329278
\(651\) −6.63265 3.07108i −0.259954 0.120365i
\(652\) 3.43757 0.134626
\(653\) −13.4143 + 23.2342i −0.524941 + 0.909225i 0.474637 + 0.880182i \(0.342579\pi\)
−0.999578 + 0.0290430i \(0.990754\pi\)
\(654\) −24.2456 41.9946i −0.948079 1.64212i
\(655\) 8.52266 + 14.7617i 0.333008 + 0.576787i
\(656\) 9.67230 16.7529i 0.377640 0.654092i
\(657\) −0.327429 −0.0127742
\(658\) 36.1479 25.4568i 1.40919 0.992409i
\(659\) −42.9889 −1.67461 −0.837306 0.546735i \(-0.815871\pi\)
−0.837306 + 0.546735i \(0.815871\pi\)
\(660\) −1.16082 + 2.01059i −0.0451847 + 0.0782623i
\(661\) 14.7349 + 25.5216i 0.573122 + 0.992676i 0.996243 + 0.0866030i \(0.0276012\pi\)
−0.423121 + 0.906073i \(0.639066\pi\)
\(662\) 11.3915 + 19.7307i 0.442744 + 0.766855i
\(663\) −2.06889 + 3.58342i −0.0803490 + 0.139169i
\(664\) −0.243015 −0.00943082
\(665\) 13.0013 9.15599i 0.504167 0.355054i
\(666\) −0.986346 −0.0382201
\(667\) −6.12349 + 10.6062i −0.237102 + 0.410673i
\(668\) 22.2403 + 38.5214i 0.860504 + 1.49044i
\(669\) −15.5104 26.8647i −0.599666 1.03865i
\(670\) 8.54256 14.7962i 0.330028 0.571625i
\(671\) −8.34752 −0.322252
\(672\) −33.9203 15.7059i −1.30850 0.605869i
\(673\) −20.1702 −0.777504 −0.388752 0.921342i \(-0.627094\pi\)
−0.388752 + 0.921342i \(0.627094\pi\)
\(674\) 1.74891 3.02920i 0.0673655 0.116680i
\(675\) −10.6818 18.5015i −0.411144 0.712122i
\(676\) −1.01709 1.76164i −0.0391187 0.0677555i
\(677\) 3.10241 5.37353i 0.119235 0.206521i −0.800230 0.599694i \(-0.795289\pi\)
0.919465 + 0.393172i \(0.128622\pi\)
\(678\) 11.5108 0.442071
\(679\) 1.76800 + 19.5986i 0.0678495 + 0.752126i
\(680\) −0.146221 −0.00560733
\(681\) 4.68704 8.11820i 0.179608 0.311090i
\(682\) 1.12984 + 1.95694i 0.0432638 + 0.0749351i
\(683\) 0.884758 + 1.53245i 0.0338543 + 0.0586374i 0.882456 0.470395i \(-0.155888\pi\)
−0.848602 + 0.529032i \(0.822555\pi\)
\(684\) −0.636312 + 1.10212i −0.0243300 + 0.0421408i
\(685\) 5.59899 0.213926
\(686\) −36.0077 9.33627i −1.37478 0.356460i
\(687\) −14.9854 −0.571729
\(688\) −18.5473 + 32.1249i −0.707110 + 1.22475i
\(689\) −7.04163 12.1965i −0.268265 0.464648i
\(690\) 6.01451 + 10.4174i 0.228969 + 0.396585i
\(691\) −22.4658 + 38.9120i −0.854641 + 1.48028i 0.0223363 + 0.999751i \(0.492890\pi\)
−0.876977 + 0.480531i \(0.840444\pi\)
\(692\) 11.8820 0.451688
\(693\) 0.0160542 + 0.177964i 0.000609849 + 0.00676031i
\(694\) −42.2800 −1.60493
\(695\) 1.81144 3.13751i 0.0687120 0.119013i
\(696\) 0.196666 + 0.340635i 0.00745459 + 0.0129117i
\(697\) −5.78856 10.0261i −0.219257 0.379765i
\(698\) −8.39162 + 14.5347i −0.317628 + 0.550147i
\(699\) 8.36204 0.316281
\(700\) 20.4126 + 9.45154i 0.771525 + 0.357235i
\(701\) 38.5707 1.45679 0.728397 0.685156i \(-0.240266\pi\)
0.728397 + 0.685156i \(0.240266\pi\)
\(702\) −5.13311 + 8.89081i −0.193737 + 0.335562i
\(703\) −17.2827 29.9344i −0.651828 1.12900i
\(704\) 2.96251 + 5.13121i 0.111654 + 0.193390i
\(705\) 6.62767 11.4795i 0.249612 0.432341i
\(706\) 17.1398 0.645066
\(707\) −2.59375 + 1.82662i −0.0975480 + 0.0686972i
\(708\) 2.56330 0.0963346
\(709\) −4.38866 + 7.60137i −0.164819 + 0.285476i −0.936591 0.350424i \(-0.886037\pi\)
0.771772 + 0.635900i \(0.219371\pi\)
\(710\) 9.99758 + 17.3163i 0.375203 + 0.649870i
\(711\) −0.613194 1.06208i −0.0229966 0.0398312i
\(712\) 0.413512 0.716223i 0.0154970 0.0268416i
\(713\) 5.90360 0.221091
\(714\) −17.9777 + 12.6606i −0.672799 + 0.473811i
\(715\) 0.648824 0.0242646
\(716\) −2.57757 + 4.46449i −0.0963284 + 0.166846i
\(717\) −13.0447 22.5940i −0.487161 0.843788i
\(718\) −16.2402 28.1289i −0.606080 1.04976i
\(719\) −2.10218 + 3.64109i −0.0783982 + 0.135790i −0.902559 0.430566i \(-0.858314\pi\)
0.824161 + 0.566356i \(0.191647\pi\)
\(720\) −0.335625 −0.0125080
\(721\) 34.6022 + 16.0216i 1.28865 + 0.596677i
\(722\) −50.2840 −1.87138
\(723\) 5.38386 9.32513i 0.200228 0.346805i
\(724\) 10.9080 + 18.8933i 0.405394 + 0.702164i
\(725\) 6.80866 + 11.7930i 0.252867 + 0.437979i
\(726\) −18.5255 + 32.0872i −0.687547 + 1.19087i
\(727\) −28.9856 −1.07502 −0.537509 0.843258i \(-0.680634\pi\)
−0.537509 + 0.843258i \(0.680634\pi\)
\(728\) −0.0163145 0.180850i −0.000604656 0.00670274i
\(729\) 26.0990 0.966630
\(730\) −3.15898 + 5.47151i −0.116919 + 0.202510i
\(731\) 11.1000 + 19.2257i 0.410547 + 0.711089i
\(732\) 20.8479 + 36.1096i 0.770561 + 1.33465i
\(733\) 12.0172 20.8145i 0.443867 0.768800i −0.554106 0.832446i \(-0.686940\pi\)
0.997972 + 0.0636467i \(0.0202731\pi\)
\(734\) −56.5480 −2.08722
\(735\) −10.9725 + 1.99590i −0.404725 + 0.0736198i
\(736\) 30.1918 1.11288
\(737\) −3.36394 + 5.82652i −0.123912 + 0.214622i
\(738\) 0.465985 + 0.807110i 0.0171532 + 0.0297101i
\(739\) −5.90276 10.2239i −0.217136 0.376091i 0.736795 0.676116i \(-0.236338\pi\)
−0.953931 + 0.300025i \(0.903005\pi\)
\(740\) −4.79835 + 8.31099i −0.176391 + 0.305518i
\(741\) 11.6729 0.428816
\(742\) −6.72396 74.5366i −0.246844 2.73632i
\(743\) 47.2786 1.73448 0.867241 0.497888i \(-0.165891\pi\)
0.867241 + 0.497888i \(0.165891\pi\)
\(744\) 0.0948017 0.164201i 0.00347560 0.00601992i
\(745\) 9.54499 + 16.5324i 0.349701 + 0.605700i
\(746\) −28.6252 49.5802i −1.04804 1.81526i
\(747\) −0.166912 + 0.289100i −0.00610698 + 0.0105776i
\(748\) 3.42773 0.125330
\(749\) −32.6356 15.1111i −1.19248 0.552147i
\(750\) 29.3750 1.07262
\(751\) −2.73850 + 4.74322i −0.0999294 + 0.173083i −0.911655 0.410956i \(-0.865195\pi\)
0.811726 + 0.584039i \(0.198528\pi\)
\(752\) −16.3506 28.3200i −0.596244 1.03273i
\(753\) 12.2877 + 21.2830i 0.447790 + 0.775596i
\(754\) 3.27188 5.66706i 0.119155 0.206382i
\(755\) −14.2410 −0.518285
\(756\) −22.4911 + 15.8391i −0.817994 + 0.576064i
\(757\) 10.7453 0.390546 0.195273 0.980749i \(-0.437441\pi\)
0.195273 + 0.980749i \(0.437441\pi\)
\(758\) −7.29358 + 12.6329i −0.264915 + 0.458846i
\(759\) −2.36843 4.10224i −0.0859686 0.148902i
\(760\) 0.206250 + 0.357236i 0.00748148 + 0.0129583i
\(761\) 16.5200 28.6134i 0.598848 1.03724i −0.394143 0.919049i \(-0.628959\pi\)
0.992991 0.118186i \(-0.0377080\pi\)
\(762\) 3.35940 0.121698
\(763\) −29.6891 + 20.9082i −1.07482 + 0.756928i
\(764\) −3.41457 −0.123535
\(765\) −0.100430 + 0.173950i −0.00363106 + 0.00628918i
\(766\) 12.9877 + 22.4953i 0.469263 + 0.812788i
\(767\) −0.358181 0.620387i −0.0129332 0.0224009i
\(768\) −13.5793 + 23.5201i −0.490002 + 0.848708i
\(769\) 2.98332 0.107581 0.0537907 0.998552i \(-0.482870\pi\)
0.0537907 + 0.998552i \(0.482870\pi\)
\(770\) 3.12877 + 1.44870i 0.112753 + 0.0522074i
\(771\) 30.3702 1.09376
\(772\) 6.55833 11.3594i 0.236039 0.408832i
\(773\) 10.9543 + 18.9733i 0.393998 + 0.682424i 0.992973 0.118344i \(-0.0377585\pi\)
−0.598975 + 0.800768i \(0.704425\pi\)
\(774\) −0.893560 1.54769i −0.0321184 0.0556306i
\(775\) 3.28208 5.68473i 0.117896 0.204202i
\(776\) −0.510464 −0.0183246