Properties

Label 483.2.i.h.277.2
Level $483$
Weight $2$
Character 483.277
Analytic conductor $3.857$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(10\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \(x^{20} - 3 x^{19} + 22 x^{18} - 43 x^{17} + 245 x^{16} - 416 x^{15} + 1707 x^{14} - 2021 x^{13} + 7135 x^{12} - 6640 x^{11} + 20315 x^{10} - 10565 x^{9} + 29358 x^{8} - 9009 x^{7} + 30661 x^{6} - 4026 x^{5} + 15786 x^{4} - 84 x^{3} + 5800 x^{2} + 152 x + 4\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 277.2
Root \(1.25760 - 2.17823i\) of defining polynomial
Character \(\chi\) \(=\) 483.277
Dual form 483.2.i.h.415.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.25760 - 2.17823i) q^{2} +(0.500000 - 0.866025i) q^{3} +(-2.16313 + 3.74664i) q^{4} +(-2.15868 - 3.73894i) q^{5} -2.51520 q^{6} +(1.42694 - 2.22797i) q^{7} +5.85100 q^{8} +(-0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-1.25760 - 2.17823i) q^{2} +(0.500000 - 0.866025i) q^{3} +(-2.16313 + 3.74664i) q^{4} +(-2.15868 - 3.73894i) q^{5} -2.51520 q^{6} +(1.42694 - 2.22797i) q^{7} +5.85100 q^{8} +(-0.500000 - 0.866025i) q^{9} +(-5.42951 + 9.40419i) q^{10} +(-0.864575 + 1.49749i) q^{11} +(2.16313 + 3.74664i) q^{12} -2.88941 q^{13} +(-6.64755 - 0.306300i) q^{14} -4.31735 q^{15} +(-3.03197 - 5.25153i) q^{16} +(2.46562 - 4.27058i) q^{17} +(-1.25760 + 2.17823i) q^{18} +(-1.22078 - 2.11445i) q^{19} +18.6780 q^{20} +(-1.21601 - 2.34975i) q^{21} +4.34917 q^{22} +(-0.500000 - 0.866025i) q^{23} +(2.92550 - 5.06711i) q^{24} +(-6.81978 + 11.8122i) q^{25} +(3.63373 + 6.29380i) q^{26} -1.00000 q^{27} +(5.26076 + 10.1656i) q^{28} +8.05817 q^{29} +(5.42951 + 9.40419i) q^{30} +(-0.457930 + 0.793157i) q^{31} +(-1.77504 + 3.07445i) q^{32} +(0.864575 + 1.49749i) q^{33} -12.4031 q^{34} +(-11.4105 - 0.525765i) q^{35} +4.32625 q^{36} +(4.57790 + 7.92916i) q^{37} +(-3.07051 + 5.31828i) q^{38} +(-1.44471 + 2.50230i) q^{39} +(-12.6304 - 21.8765i) q^{40} -6.60783 q^{41} +(-3.58904 + 5.60380i) q^{42} +10.7440 q^{43} +(-3.74037 - 6.47851i) q^{44} +(-2.15868 + 3.73894i) q^{45} +(-1.25760 + 2.17823i) q^{46} +(0.199824 + 0.346106i) q^{47} -6.06395 q^{48} +(-2.92770 - 6.35835i) q^{49} +34.3063 q^{50} +(-2.46562 - 4.27058i) q^{51} +(6.25016 - 10.8256i) q^{52} +(-3.27256 + 5.66824i) q^{53} +(1.25760 + 2.17823i) q^{54} +7.46536 q^{55} +(8.34901 - 13.0358i) q^{56} -2.44156 q^{57} +(-10.1340 - 17.5526i) q^{58} +(0.917541 - 1.58923i) q^{59} +(9.33898 - 16.1756i) q^{60} +(0.650629 + 1.12692i) q^{61} +2.30357 q^{62} +(-2.64295 - 0.121779i) q^{63} -3.19874 q^{64} +(6.23731 + 10.8033i) q^{65} +(2.17458 - 3.76649i) q^{66} +(5.10699 - 8.84556i) q^{67} +(10.6669 + 18.4756i) q^{68} -1.00000 q^{69} +(13.2047 + 25.5160i) q^{70} -9.00190 q^{71} +(-2.92550 - 5.06711i) q^{72} +(1.30858 - 2.26652i) q^{73} +(11.5144 - 19.9435i) q^{74} +(6.81978 + 11.8122i) q^{75} +10.5628 q^{76} +(2.10266 + 4.06307i) q^{77} +7.26746 q^{78} +(-5.09351 - 8.82221i) q^{79} +(-13.0901 + 22.6727i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(8.31002 + 14.3934i) q^{82} -10.8838 q^{83} +(11.4341 + 0.526849i) q^{84} -21.2899 q^{85} +(-13.5117 - 23.4029i) q^{86} +(4.02908 - 6.97858i) q^{87} +(-5.05863 + 8.76180i) q^{88} +(-7.49312 - 12.9785i) q^{89} +10.8590 q^{90} +(-4.12301 + 6.43752i) q^{91} +4.32625 q^{92} +(0.457930 + 0.793157i) q^{93} +(0.502599 - 0.870527i) q^{94} +(-5.27054 + 9.12884i) q^{95} +(1.77504 + 3.07445i) q^{96} -3.07116 q^{97} +(-10.1681 + 14.3735i) q^{98} +1.72915 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 3q^{2} + 10q^{3} - 15q^{4} + 5q^{5} - 6q^{6} + 18q^{8} - 10q^{9} + O(q^{10}) \) \( 20q - 3q^{2} + 10q^{3} - 15q^{4} + 5q^{5} - 6q^{6} + 18q^{8} - 10q^{9} - 11q^{10} - 8q^{11} + 15q^{12} + 11q^{14} + 10q^{15} - 37q^{16} + 11q^{17} - 3q^{18} - q^{19} - 30q^{20} + 12q^{22} - 10q^{23} + 9q^{24} - 21q^{25} - q^{26} - 20q^{27} + 44q^{28} + 44q^{29} + 11q^{30} + 3q^{31} - 11q^{32} + 8q^{33} - 6q^{34} - 9q^{35} + 30q^{36} + 3q^{37} - 16q^{38} - 39q^{40} - 52q^{41} + 7q^{42} + 54q^{43} - 16q^{44} + 5q^{45} - 3q^{46} - 11q^{47} - 74q^{48} + 22q^{49} + 4q^{50} - 11q^{51} - 29q^{52} - 5q^{53} + 3q^{54} - 36q^{55} + 43q^{56} - 2q^{57} - 16q^{58} + 10q^{59} - 15q^{60} - 22q^{61} - 64q^{62} + 138q^{64} + 11q^{65} + 6q^{66} + 2q^{67} + 21q^{68} - 20q^{69} + 84q^{70} + 54q^{71} - 9q^{72} + 8q^{73} - 14q^{74} + 21q^{75} - 44q^{76} + 8q^{77} - 2q^{78} - 21q^{79} + 53q^{80} - 10q^{81} - 36q^{82} - 24q^{83} + 25q^{84} + 46q^{85} - 18q^{86} + 22q^{87} + 10q^{88} - 6q^{89} + 22q^{90} - 62q^{91} + 30q^{92} - 3q^{93} - 35q^{94} - 44q^{95} + 11q^{96} + 12q^{97} + 2q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25760 2.17823i −0.889259 1.54024i −0.840753 0.541419i \(-0.817887\pi\)
−0.0485058 0.998823i \(-0.515446\pi\)
\(3\) 0.500000 0.866025i 0.288675 0.500000i
\(4\) −2.16313 + 3.74664i −1.08156 + 1.87332i
\(5\) −2.15868 3.73894i −0.965390 1.67210i −0.708564 0.705647i \(-0.750657\pi\)
−0.256826 0.966458i \(-0.582677\pi\)
\(6\) −2.51520 −1.02683
\(7\) 1.42694 2.22797i 0.539332 0.842093i
\(8\) 5.85100 2.06864
\(9\) −0.500000 0.866025i −0.166667 0.288675i
\(10\) −5.42951 + 9.40419i −1.71696 + 2.97387i
\(11\) −0.864575 + 1.49749i −0.260679 + 0.451510i −0.966423 0.256958i \(-0.917280\pi\)
0.705743 + 0.708468i \(0.250613\pi\)
\(12\) 2.16313 + 3.74664i 0.624441 + 1.08156i
\(13\) −2.88941 −0.801378 −0.400689 0.916214i \(-0.631229\pi\)
−0.400689 + 0.916214i \(0.631229\pi\)
\(14\) −6.64755 0.306300i −1.77663 0.0818622i
\(15\) −4.31735 −1.11474
\(16\) −3.03197 5.25153i −0.757993 1.31288i
\(17\) 2.46562 4.27058i 0.598001 1.03577i −0.395115 0.918632i \(-0.629295\pi\)
0.993116 0.117136i \(-0.0373715\pi\)
\(18\) −1.25760 + 2.17823i −0.296420 + 0.513414i
\(19\) −1.22078 2.11445i −0.280066 0.485089i 0.691335 0.722535i \(-0.257023\pi\)
−0.971401 + 0.237446i \(0.923690\pi\)
\(20\) 18.6780 4.17652
\(21\) −1.21601 2.34975i −0.265355 0.512757i
\(22\) 4.34917 0.927245
\(23\) −0.500000 0.866025i −0.104257 0.180579i
\(24\) 2.92550 5.06711i 0.597165 1.03432i
\(25\) −6.81978 + 11.8122i −1.36396 + 2.36244i
\(26\) 3.63373 + 6.29380i 0.712633 + 1.23432i
\(27\) −1.00000 −0.192450
\(28\) 5.26076 + 10.1656i 0.994191 + 1.92112i
\(29\) 8.05817 1.49636 0.748182 0.663493i \(-0.230927\pi\)
0.748182 + 0.663493i \(0.230927\pi\)
\(30\) 5.42951 + 9.40419i 0.991289 + 1.71696i
\(31\) −0.457930 + 0.793157i −0.0822466 + 0.142455i −0.904215 0.427078i \(-0.859543\pi\)
0.821968 + 0.569534i \(0.192876\pi\)
\(32\) −1.77504 + 3.07445i −0.313785 + 0.543491i
\(33\) 0.864575 + 1.49749i 0.150503 + 0.260679i
\(34\) −12.4031 −2.12711
\(35\) −11.4105 0.525765i −1.92873 0.0888705i
\(36\) 4.32625 0.721042
\(37\) 4.57790 + 7.92916i 0.752603 + 1.30355i 0.946557 + 0.322536i \(0.104535\pi\)
−0.193955 + 0.981011i \(0.562131\pi\)
\(38\) −3.07051 + 5.31828i −0.498103 + 0.862739i
\(39\) −1.44471 + 2.50230i −0.231338 + 0.400689i
\(40\) −12.6304 21.8765i −1.99704 3.45898i
\(41\) −6.60783 −1.03197 −0.515985 0.856598i \(-0.672574\pi\)
−0.515985 + 0.856598i \(0.672574\pi\)
\(42\) −3.58904 + 5.60380i −0.553801 + 0.864685i
\(43\) 10.7440 1.63845 0.819223 0.573475i \(-0.194405\pi\)
0.819223 + 0.573475i \(0.194405\pi\)
\(44\) −3.74037 6.47851i −0.563882 0.976672i
\(45\) −2.15868 + 3.73894i −0.321797 + 0.557368i
\(46\) −1.25760 + 2.17823i −0.185423 + 0.321163i
\(47\) 0.199824 + 0.346106i 0.0291474 + 0.0504847i 0.880231 0.474545i \(-0.157387\pi\)
−0.851084 + 0.525030i \(0.824054\pi\)
\(48\) −6.06395 −0.875255
\(49\) −2.92770 6.35835i −0.418243 0.908335i
\(50\) 34.3063 4.85164
\(51\) −2.46562 4.27058i −0.345256 0.598001i
\(52\) 6.25016 10.8256i 0.866741 1.50124i
\(53\) −3.27256 + 5.66824i −0.449521 + 0.778593i −0.998355 0.0573383i \(-0.981739\pi\)
0.548834 + 0.835931i \(0.315072\pi\)
\(54\) 1.25760 + 2.17823i 0.171138 + 0.296420i
\(55\) 7.46536 1.00663
\(56\) 8.34901 13.0358i 1.11568 1.74199i
\(57\) −2.44156 −0.323393
\(58\) −10.1340 17.5526i −1.33066 2.30476i
\(59\) 0.917541 1.58923i 0.119454 0.206900i −0.800098 0.599870i \(-0.795219\pi\)
0.919551 + 0.392970i \(0.128552\pi\)
\(60\) 9.33898 16.1756i 1.20566 2.08826i
\(61\) 0.650629 + 1.12692i 0.0833045 + 0.144288i 0.904667 0.426118i \(-0.140119\pi\)
−0.821363 + 0.570406i \(0.806786\pi\)
\(62\) 2.30357 0.292554
\(63\) −2.64295 0.121779i −0.332980 0.0153428i
\(64\) −3.19874 −0.399843
\(65\) 6.23731 + 10.8033i 0.773642 + 1.33999i
\(66\) 2.17458 3.76649i 0.267673 0.463623i
\(67\) 5.10699 8.84556i 0.623918 1.08066i −0.364831 0.931074i \(-0.618873\pi\)
0.988749 0.149583i \(-0.0477933\pi\)
\(68\) 10.6669 + 18.4756i 1.29355 + 2.24050i
\(69\) −1.00000 −0.120386
\(70\) 13.2047 + 25.5160i 1.57826 + 3.04974i
\(71\) −9.00190 −1.06833 −0.534164 0.845381i \(-0.679374\pi\)
−0.534164 + 0.845381i \(0.679374\pi\)
\(72\) −2.92550 5.06711i −0.344773 0.597165i
\(73\) 1.30858 2.26652i 0.153158 0.265277i −0.779229 0.626739i \(-0.784389\pi\)
0.932387 + 0.361463i \(0.117722\pi\)
\(74\) 11.5144 19.9435i 1.33852 2.31838i
\(75\) 6.81978 + 11.8122i 0.787480 + 1.36396i
\(76\) 10.5628 1.21164
\(77\) 2.10266 + 4.06307i 0.239621 + 0.463030i
\(78\) 7.26746 0.822877
\(79\) −5.09351 8.82221i −0.573064 0.992577i −0.996249 0.0865331i \(-0.972421\pi\)
0.423185 0.906043i \(-0.360912\pi\)
\(80\) −13.0901 + 22.6727i −1.46352 + 2.53489i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 8.31002 + 14.3934i 0.917688 + 1.58948i
\(83\) −10.8838 −1.19465 −0.597327 0.801998i \(-0.703771\pi\)
−0.597327 + 0.801998i \(0.703771\pi\)
\(84\) 11.4341 + 0.526849i 1.24756 + 0.0574839i
\(85\) −21.2899 −2.30922
\(86\) −13.5117 23.4029i −1.45700 2.52360i
\(87\) 4.02908 6.97858i 0.431963 0.748182i
\(88\) −5.05863 + 8.76180i −0.539251 + 0.934011i
\(89\) −7.49312 12.9785i −0.794269 1.37571i −0.923302 0.384074i \(-0.874521\pi\)
0.129033 0.991640i \(-0.458813\pi\)
\(90\) 10.8590 1.14464
\(91\) −4.12301 + 6.43752i −0.432209 + 0.674835i
\(92\) 4.32625 0.451043
\(93\) 0.457930 + 0.793157i 0.0474851 + 0.0822466i
\(94\) 0.502599 0.870527i 0.0518391 0.0897880i
\(95\) −5.27054 + 9.12884i −0.540746 + 0.936600i
\(96\) 1.77504 + 3.07445i 0.181164 + 0.313785i
\(97\) −3.07116 −0.311829 −0.155914 0.987771i \(-0.549832\pi\)
−0.155914 + 0.987771i \(0.549832\pi\)
\(98\) −10.1681 + 14.3735i −1.02713 + 1.45194i
\(99\) 1.72915 0.173786
\(100\) −29.5041 51.1025i −2.95041 5.11025i
\(101\) −0.544049 + 0.942320i −0.0541349 + 0.0937644i −0.891823 0.452385i \(-0.850573\pi\)
0.837688 + 0.546149i \(0.183907\pi\)
\(102\) −6.20154 + 10.7414i −0.614044 + 1.06356i
\(103\) 1.61555 + 2.79821i 0.159185 + 0.275716i 0.934575 0.355766i \(-0.115780\pi\)
−0.775390 + 0.631482i \(0.782447\pi\)
\(104\) −16.9059 −1.65776
\(105\) −6.16060 + 9.61894i −0.601213 + 0.938712i
\(106\) 16.4623 1.59896
\(107\) 0.468449 + 0.811378i 0.0452867 + 0.0784389i 0.887780 0.460268i \(-0.152247\pi\)
−0.842494 + 0.538706i \(0.818913\pi\)
\(108\) 2.16313 3.74664i 0.208147 0.360521i
\(109\) 7.48909 12.9715i 0.717324 1.24244i −0.244732 0.969591i \(-0.578700\pi\)
0.962056 0.272852i \(-0.0879668\pi\)
\(110\) −9.38845 16.2613i −0.895153 1.55045i
\(111\) 9.15581 0.869031
\(112\) −16.0267 0.738464i −1.51438 0.0697783i
\(113\) −14.1424 −1.33040 −0.665201 0.746665i \(-0.731654\pi\)
−0.665201 + 0.746665i \(0.731654\pi\)
\(114\) 3.07051 + 5.31828i 0.287580 + 0.498103i
\(115\) −2.15868 + 3.73894i −0.201298 + 0.348658i
\(116\) −17.4308 + 30.1911i −1.61841 + 2.80317i
\(117\) 1.44471 + 2.50230i 0.133563 + 0.231338i
\(118\) −4.61560 −0.424901
\(119\) −5.99644 11.5872i −0.549693 1.06220i
\(120\) −25.2608 −2.30599
\(121\) 4.00502 + 6.93690i 0.364093 + 0.630627i
\(122\) 1.63646 2.83444i 0.148158 0.256618i
\(123\) −3.30392 + 5.72255i −0.297904 + 0.515985i
\(124\) −1.98112 3.43140i −0.177910 0.308149i
\(125\) 37.3000 3.33621
\(126\) 3.05851 + 5.91010i 0.272474 + 0.526513i
\(127\) −1.77968 −0.157921 −0.0789604 0.996878i \(-0.525160\pi\)
−0.0789604 + 0.996878i \(0.525160\pi\)
\(128\) 7.57281 + 13.1165i 0.669349 + 1.15935i
\(129\) 5.37200 9.30458i 0.472979 0.819223i
\(130\) 15.6881 27.1726i 1.37594 2.38319i
\(131\) −4.44632 7.70125i −0.388477 0.672862i 0.603768 0.797160i \(-0.293665\pi\)
−0.992245 + 0.124298i \(0.960332\pi\)
\(132\) −7.48074 −0.651115
\(133\) −6.45291 0.297332i −0.559539 0.0257819i
\(134\) −25.6902 −2.21930
\(135\) 2.15868 + 3.73894i 0.185789 + 0.321797i
\(136\) 14.4263 24.9872i 1.23705 2.14263i
\(137\) −0.123702 + 0.214258i −0.0105686 + 0.0183053i −0.871261 0.490819i \(-0.836697\pi\)
0.860693 + 0.509125i \(0.170031\pi\)
\(138\) 1.25760 + 2.17823i 0.107054 + 0.185423i
\(139\) −8.59949 −0.729399 −0.364699 0.931125i \(-0.618828\pi\)
−0.364699 + 0.931125i \(0.618828\pi\)
\(140\) 26.6523 41.6139i 2.25253 3.51702i
\(141\) 0.399649 0.0336565
\(142\) 11.3208 + 19.6082i 0.950021 + 1.64548i
\(143\) 2.49811 4.32686i 0.208903 0.361830i
\(144\) −3.03197 + 5.25153i −0.252664 + 0.437628i
\(145\) −17.3950 30.1290i −1.44458 2.50208i
\(146\) −6.58268 −0.544787
\(147\) −6.97034 0.643713i −0.574904 0.0530926i
\(148\) −39.6103 −3.25595
\(149\) −2.25334 3.90291i −0.184601 0.319739i 0.758841 0.651276i \(-0.225766\pi\)
−0.943442 + 0.331537i \(0.892433\pi\)
\(150\) 17.1531 29.7101i 1.40055 2.42582i
\(151\) 2.26383 3.92107i 0.184228 0.319092i −0.759088 0.650988i \(-0.774355\pi\)
0.943316 + 0.331896i \(0.107688\pi\)
\(152\) −7.14278 12.3717i −0.579356 1.00347i
\(153\) −4.93124 −0.398667
\(154\) 6.20599 9.68981i 0.500093 0.780827i
\(155\) 3.95409 0.317600
\(156\) −6.25016 10.8256i −0.500413 0.866741i
\(157\) 1.63364 2.82954i 0.130378 0.225822i −0.793444 0.608643i \(-0.791714\pi\)
0.923822 + 0.382821i \(0.125047\pi\)
\(158\) −12.8112 + 22.1897i −1.01921 + 1.76532i
\(159\) 3.27256 + 5.66824i 0.259531 + 0.449521i
\(160\) 15.3269 1.21170
\(161\) −2.64295 0.121779i −0.208293 0.00959757i
\(162\) 2.51520 0.197613
\(163\) −5.32102 9.21628i −0.416774 0.721875i 0.578838 0.815442i \(-0.303506\pi\)
−0.995613 + 0.0935677i \(0.970173\pi\)
\(164\) 14.2936 24.7572i 1.11614 1.93321i
\(165\) 3.73268 6.46519i 0.290589 0.503314i
\(166\) 13.6875 + 23.7075i 1.06236 + 1.84006i
\(167\) 2.99812 0.232001 0.116001 0.993249i \(-0.462993\pi\)
0.116001 + 0.993249i \(0.462993\pi\)
\(168\) −7.11487 13.7484i −0.548924 1.06071i
\(169\) −4.65131 −0.357793
\(170\) 26.7742 + 46.3744i 2.05349 + 3.55675i
\(171\) −1.22078 + 2.11445i −0.0933554 + 0.161696i
\(172\) −23.2406 + 40.2540i −1.77208 + 3.06934i
\(173\) 6.64982 + 11.5178i 0.505576 + 0.875684i 0.999979 + 0.00645084i \(0.00205338\pi\)
−0.494403 + 0.869233i \(0.664613\pi\)
\(174\) −20.2679 −1.53651
\(175\) 16.5858 + 32.0495i 1.25377 + 2.42272i
\(176\) 10.4855 0.790373
\(177\) −0.917541 1.58923i −0.0689666 0.119454i
\(178\) −18.8467 + 32.6435i −1.41262 + 2.44673i
\(179\) −9.81485 + 16.9998i −0.733596 + 1.27063i 0.221740 + 0.975106i \(0.428826\pi\)
−0.955336 + 0.295520i \(0.904507\pi\)
\(180\) −9.33898 16.1756i −0.696086 1.20566i
\(181\) 19.2095 1.42783 0.713915 0.700232i \(-0.246920\pi\)
0.713915 + 0.700232i \(0.246920\pi\)
\(182\) 19.2075 + 0.885027i 1.42375 + 0.0656026i
\(183\) 1.30126 0.0961917
\(184\) −2.92550 5.06711i −0.215671 0.373552i
\(185\) 19.7644 34.2330i 1.45311 2.51686i
\(186\) 1.15179 1.99495i 0.0844531 0.146277i
\(187\) 4.26343 + 7.38448i 0.311773 + 0.540007i
\(188\) −1.72898 −0.126099
\(189\) −1.42694 + 2.22797i −0.103794 + 0.162061i
\(190\) 26.5130 1.92345
\(191\) 3.57687 + 6.19533i 0.258814 + 0.448278i 0.965924 0.258825i \(-0.0833351\pi\)
−0.707111 + 0.707103i \(0.750002\pi\)
\(192\) −1.59937 + 2.77019i −0.115425 + 0.199921i
\(193\) 10.9786 19.0156i 0.790259 1.36877i −0.135547 0.990771i \(-0.543279\pi\)
0.925806 0.377999i \(-0.123388\pi\)
\(194\) 3.86229 + 6.68969i 0.277296 + 0.480291i
\(195\) 12.4746 0.893325
\(196\) 30.1554 + 2.78487i 2.15396 + 0.198919i
\(197\) 3.21028 0.228723 0.114361 0.993439i \(-0.463518\pi\)
0.114361 + 0.993439i \(0.463518\pi\)
\(198\) −2.17458 3.76649i −0.154541 0.267673i
\(199\) −6.35849 + 11.0132i −0.450741 + 0.780707i −0.998432 0.0559738i \(-0.982174\pi\)
0.547691 + 0.836681i \(0.315507\pi\)
\(200\) −39.9025 + 69.1131i −2.82153 + 4.88704i
\(201\) −5.10699 8.84556i −0.360219 0.623918i
\(202\) 2.73679 0.192560
\(203\) 11.4985 17.9534i 0.807037 1.26008i
\(204\) 21.3338 1.49366
\(205\) 14.2642 + 24.7063i 0.996253 + 1.72556i
\(206\) 4.06343 7.03807i 0.283113 0.490366i
\(207\) −0.500000 + 0.866025i −0.0347524 + 0.0601929i
\(208\) 8.76062 + 15.1738i 0.607439 + 1.05212i
\(209\) 4.22183 0.292030
\(210\) 28.6998 + 1.32241i 1.98048 + 0.0912547i
\(211\) −17.0500 −1.17377 −0.586884 0.809671i \(-0.699646\pi\)
−0.586884 + 0.809671i \(0.699646\pi\)
\(212\) −14.1579 24.5222i −0.972370 1.68419i
\(213\) −4.50095 + 7.79587i −0.308400 + 0.534164i
\(214\) 1.17825 2.04078i 0.0805432 0.139505i
\(215\) −23.1928 40.1712i −1.58174 2.73965i
\(216\) −5.85100 −0.398110
\(217\) 1.11369 + 2.15204i 0.0756024 + 0.146090i
\(218\) −37.6732 −2.55155
\(219\) −1.30858 2.26652i −0.0884255 0.153158i
\(220\) −16.1485 + 27.9700i −1.08873 + 1.88574i
\(221\) −7.12419 + 12.3395i −0.479225 + 0.830042i
\(222\) −11.5144 19.9435i −0.772793 1.33852i
\(223\) 23.3278 1.56215 0.781073 0.624440i \(-0.214673\pi\)
0.781073 + 0.624440i \(0.214673\pi\)
\(224\) 4.31692 + 8.34177i 0.288436 + 0.557358i
\(225\) 13.6396 0.909303
\(226\) 17.7855 + 30.8053i 1.18307 + 2.04914i
\(227\) 3.83797 6.64756i 0.254735 0.441214i −0.710088 0.704113i \(-0.751345\pi\)
0.964824 + 0.262898i \(0.0846784\pi\)
\(228\) 5.28140 9.14765i 0.349769 0.605818i
\(229\) 11.4368 + 19.8091i 0.755766 + 1.30903i 0.944993 + 0.327092i \(0.106069\pi\)
−0.189227 + 0.981933i \(0.560598\pi\)
\(230\) 10.8590 0.716023
\(231\) 4.57005 + 0.210575i 0.300687 + 0.0138548i
\(232\) 47.1483 3.09544
\(233\) −11.7779 20.4000i −0.771599 1.33645i −0.936686 0.350169i \(-0.886124\pi\)
0.165088 0.986279i \(-0.447209\pi\)
\(234\) 3.63373 6.29380i 0.237544 0.411439i
\(235\) 0.862713 1.49426i 0.0562772 0.0974749i
\(236\) 3.96951 + 6.87540i 0.258393 + 0.447550i
\(237\) −10.1870 −0.661718
\(238\) −17.6984 + 27.6337i −1.14722 + 1.79123i
\(239\) 13.1829 0.852732 0.426366 0.904551i \(-0.359794\pi\)
0.426366 + 0.904551i \(0.359794\pi\)
\(240\) 13.0901 + 22.6727i 0.844963 + 1.46352i
\(241\) 8.63351 14.9537i 0.556134 0.963252i −0.441681 0.897172i \(-0.645618\pi\)
0.997814 0.0660793i \(-0.0210490\pi\)
\(242\) 10.0734 17.4477i 0.647545 1.12158i
\(243\) 0.500000 + 0.866025i 0.0320750 + 0.0555556i
\(244\) −5.62957 −0.360396
\(245\) −17.4535 + 24.6721i −1.11506 + 1.57624i
\(246\) 16.6200 1.05966
\(247\) 3.52733 + 6.10952i 0.224439 + 0.388740i
\(248\) −2.67934 + 4.64076i −0.170139 + 0.294689i
\(249\) −5.44191 + 9.42566i −0.344867 + 0.597327i
\(250\) −46.9086 81.2480i −2.96676 5.13858i
\(251\) 4.74956 0.299790 0.149895 0.988702i \(-0.452106\pi\)
0.149895 + 0.988702i \(0.452106\pi\)
\(252\) 6.17329 9.63876i 0.388881 0.607185i
\(253\) 1.72915 0.108711
\(254\) 2.23812 + 3.87655i 0.140432 + 0.243236i
\(255\) −10.6450 + 18.4376i −0.666613 + 1.15461i
\(256\) 15.8484 27.4503i 0.990527 1.71564i
\(257\) −0.714418 1.23741i −0.0445641 0.0771874i 0.842883 0.538097i \(-0.180857\pi\)
−0.887447 + 0.460910i \(0.847523\pi\)
\(258\) −27.0234 −1.68240
\(259\) 24.1983 + 1.11499i 1.50361 + 0.0692821i
\(260\) −53.9683 −3.34697
\(261\) −4.02908 6.97858i −0.249394 0.431963i
\(262\) −11.1834 + 19.3702i −0.690913 + 1.19670i
\(263\) −4.40873 + 7.63614i −0.271854 + 0.470865i −0.969337 0.245737i \(-0.920970\pi\)
0.697483 + 0.716602i \(0.254303\pi\)
\(264\) 5.05863 + 8.76180i 0.311337 + 0.539251i
\(265\) 28.2576 1.73585
\(266\) 7.46754 + 14.4299i 0.457864 + 0.884751i
\(267\) −14.9862 −0.917143
\(268\) 22.0941 + 38.2681i 1.34961 + 2.33760i
\(269\) 6.45927 11.1878i 0.393829 0.682132i −0.599122 0.800658i \(-0.704484\pi\)
0.992951 + 0.118526i \(0.0378169\pi\)
\(270\) 5.42951 9.40419i 0.330430 0.572321i
\(271\) −6.67426 11.5602i −0.405433 0.702230i 0.588939 0.808177i \(-0.299546\pi\)
−0.994372 + 0.105947i \(0.966212\pi\)
\(272\) −29.9028 −1.81312
\(273\) 3.51355 + 6.78939i 0.212650 + 0.410913i
\(274\) 0.622271 0.0375927
\(275\) −11.7924 20.4251i −0.711110 1.23168i
\(276\) 2.16313 3.74664i 0.130205 0.225521i
\(277\) 7.74930 13.4222i 0.465610 0.806461i −0.533619 0.845725i \(-0.679168\pi\)
0.999229 + 0.0392646i \(0.0125015\pi\)
\(278\) 10.8147 + 18.7317i 0.648624 + 1.12345i
\(279\) 0.915859 0.0548311
\(280\) −66.7630 3.07625i −3.98985 0.183841i
\(281\) 23.6088 1.40838 0.704192 0.710009i \(-0.251309\pi\)
0.704192 + 0.710009i \(0.251309\pi\)
\(282\) −0.502599 0.870527i −0.0299293 0.0518391i
\(283\) −11.8407 + 20.5087i −0.703858 + 1.21912i 0.263244 + 0.964729i \(0.415207\pi\)
−0.967102 + 0.254388i \(0.918126\pi\)
\(284\) 19.4722 33.7269i 1.15546 2.00132i
\(285\) 5.27054 + 9.12884i 0.312200 + 0.540746i
\(286\) −12.5665 −0.743074
\(287\) −9.42896 + 14.7220i −0.556574 + 0.869015i
\(288\) 3.55007 0.209190
\(289\) −3.65858 6.33684i −0.215210 0.372755i
\(290\) −43.7519 + 75.7806i −2.56920 + 4.44999i
\(291\) −1.53558 + 2.65970i −0.0900172 + 0.155914i
\(292\) 5.66124 + 9.80555i 0.331299 + 0.573827i
\(293\) 21.1268 1.23424 0.617121 0.786868i \(-0.288299\pi\)
0.617121 + 0.786868i \(0.288299\pi\)
\(294\) 7.36376 + 15.9925i 0.429463 + 0.932704i
\(295\) −7.92270 −0.461277
\(296\) 26.7853 + 46.3935i 1.55686 + 2.69657i
\(297\) 0.864575 1.49749i 0.0501678 0.0868931i
\(298\) −5.66762 + 9.81661i −0.328316 + 0.568661i
\(299\) 1.44471 + 2.50230i 0.0835495 + 0.144712i
\(300\) −59.0081 −3.40684
\(301\) 15.3310 23.9373i 0.883666 1.37972i
\(302\) −11.3880 −0.655305
\(303\) 0.544049 + 0.942320i 0.0312548 + 0.0541349i
\(304\) −7.40274 + 12.8219i −0.424577 + 0.735388i
\(305\) 2.80899 4.86532i 0.160843 0.278587i
\(306\) 6.20154 + 10.7414i 0.354518 + 0.614044i
\(307\) −1.97923 −0.112961 −0.0564804 0.998404i \(-0.517988\pi\)
−0.0564804 + 0.998404i \(0.517988\pi\)
\(308\) −19.7712 0.911001i −1.12657 0.0519091i
\(309\) 3.23110 0.183811
\(310\) −4.97267 8.61292i −0.282429 0.489181i
\(311\) 1.94840 3.37472i 0.110483 0.191363i −0.805482 0.592620i \(-0.798093\pi\)
0.915965 + 0.401258i \(0.131427\pi\)
\(312\) −8.45296 + 14.6410i −0.478555 + 0.828881i
\(313\) −8.82919 15.2926i −0.499056 0.864390i 0.500944 0.865480i \(-0.332986\pi\)
−0.999999 + 0.00109025i \(0.999653\pi\)
\(314\) −8.21786 −0.463761
\(315\) 5.24994 + 10.1447i 0.295801 + 0.571589i
\(316\) 44.0716 2.47922
\(317\) 6.16616 + 10.6801i 0.346326 + 0.599855i 0.985594 0.169130i \(-0.0540957\pi\)
−0.639268 + 0.768984i \(0.720762\pi\)
\(318\) 8.23116 14.2568i 0.461581 0.799481i
\(319\) −6.96689 + 12.0670i −0.390071 + 0.675623i
\(320\) 6.90505 + 11.9599i 0.386004 + 0.668579i
\(321\) 0.936899 0.0522926
\(322\) 3.05851 + 5.91010i 0.170444 + 0.329357i
\(323\) −12.0399 −0.669919
\(324\) −2.16313 3.74664i −0.120174 0.208147i
\(325\) 19.7051 34.1303i 1.09304 1.89321i
\(326\) −13.3835 + 23.1808i −0.741241 + 1.28387i
\(327\) −7.48909 12.9715i −0.414147 0.717324i
\(328\) −38.6624 −2.13477
\(329\) 1.05625 + 0.0486690i 0.0582330 + 0.00268321i
\(330\) −18.7769 −1.03363
\(331\) −2.90282 5.02784i −0.159554 0.276355i 0.775154 0.631772i \(-0.217672\pi\)
−0.934708 + 0.355417i \(0.884339\pi\)
\(332\) 23.5431 40.7778i 1.29209 2.23797i
\(333\) 4.57790 7.92916i 0.250868 0.434515i
\(334\) −3.77044 6.53059i −0.206309 0.357338i
\(335\) −44.0973 −2.40930
\(336\) −8.65287 + 13.5103i −0.472053 + 0.737047i
\(337\) −22.5441 −1.22805 −0.614027 0.789285i \(-0.710452\pi\)
−0.614027 + 0.789285i \(0.710452\pi\)
\(338\) 5.84949 + 10.1316i 0.318170 + 0.551087i
\(339\) −7.07118 + 12.2476i −0.384054 + 0.665201i
\(340\) 46.0528 79.7657i 2.49756 4.32591i
\(341\) −0.791829 1.37149i −0.0428800 0.0742703i
\(342\) 6.14102 0.332068
\(343\) −18.3438 2.55014i −0.990475 0.137695i
\(344\) 62.8631 3.38935
\(345\) 2.15868 + 3.73894i 0.116219 + 0.201298i
\(346\) 16.7256 28.9697i 0.899176 1.55742i
\(347\) 3.74865 6.49285i 0.201238 0.348555i −0.747690 0.664048i \(-0.768837\pi\)
0.948928 + 0.315494i \(0.102170\pi\)
\(348\) 17.4308 + 30.1911i 0.934391 + 1.61841i
\(349\) −7.97347 −0.426810 −0.213405 0.976964i \(-0.568455\pi\)
−0.213405 + 0.976964i \(0.568455\pi\)
\(350\) 48.9529 76.4333i 2.61664 4.08553i
\(351\) 2.88941 0.154225
\(352\) −3.06930 5.31619i −0.163594 0.283354i
\(353\) 14.7645 25.5728i 0.785833 1.36110i −0.142668 0.989771i \(-0.545568\pi\)
0.928500 0.371331i \(-0.121099\pi\)
\(354\) −2.30780 + 3.99723i −0.122658 + 0.212450i
\(355\) 19.4322 + 33.6575i 1.03135 + 1.78636i
\(356\) 64.8342 3.43621
\(357\) −13.0330 0.600524i −0.689780 0.0317831i
\(358\) 49.3727 2.60943
\(359\) 6.56032 + 11.3628i 0.346241 + 0.599706i 0.985578 0.169220i \(-0.0541247\pi\)
−0.639338 + 0.768926i \(0.720791\pi\)
\(360\) −12.6304 + 21.8765i −0.665681 + 1.15299i
\(361\) 6.51939 11.2919i 0.343126 0.594312i
\(362\) −24.1579 41.8427i −1.26971 2.19920i
\(363\) 8.01004 0.420418
\(364\) −15.2005 29.3726i −0.796723 1.53954i
\(365\) −11.2992 −0.591427
\(366\) −1.63646 2.83444i −0.0855393 0.148158i
\(367\) −2.63184 + 4.55848i −0.137381 + 0.237951i −0.926504 0.376284i \(-0.877202\pi\)
0.789124 + 0.614234i \(0.210535\pi\)
\(368\) −3.03197 + 5.25153i −0.158053 + 0.273755i
\(369\) 3.30392 + 5.72255i 0.171995 + 0.297904i
\(370\) −99.4232 −5.16876
\(371\) 7.95893 + 15.3794i 0.413207 + 0.798459i
\(372\) −3.96224 −0.205432
\(373\) 6.32477 + 10.9548i 0.327484 + 0.567219i 0.982012 0.188819i \(-0.0604659\pi\)
−0.654528 + 0.756038i \(0.727133\pi\)
\(374\) 10.7234 18.5735i 0.554494 0.960411i
\(375\) 18.6500 32.3028i 0.963082 1.66811i
\(376\) 1.16917 + 2.02506i 0.0602954 + 0.104435i
\(377\) −23.2834 −1.19915
\(378\) 6.64755 + 0.306300i 0.341913 + 0.0157544i
\(379\) 12.7987 0.657426 0.328713 0.944430i \(-0.393385\pi\)
0.328713 + 0.944430i \(0.393385\pi\)
\(380\) −22.8017 39.4937i −1.16970 2.02598i
\(381\) −0.889838 + 1.54125i −0.0455878 + 0.0789604i
\(382\) 8.99657 15.5825i 0.460305 0.797271i
\(383\) 8.31345 + 14.3993i 0.424797 + 0.735771i 0.996401 0.0847589i \(-0.0270120\pi\)
−0.571604 + 0.820530i \(0.693679\pi\)
\(384\) 15.1456 0.772897
\(385\) 10.6526 16.6326i 0.542907 0.847675i
\(386\) −55.2270 −2.81098
\(387\) −5.37200 9.30458i −0.273074 0.472979i
\(388\) 6.64330 11.5065i 0.337262 0.584155i
\(389\) 14.9352 25.8684i 0.757242 1.31158i −0.187010 0.982358i \(-0.559880\pi\)
0.944252 0.329224i \(-0.106787\pi\)
\(390\) −15.6881 27.1726i −0.794398 1.37594i
\(391\) −4.93124 −0.249384
\(392\) −17.1299 37.2027i −0.865193 1.87902i
\(393\) −8.89264 −0.448574
\(394\) −4.03725 6.99272i −0.203394 0.352288i
\(395\) −21.9905 + 38.0886i −1.10646 + 1.91645i
\(396\) −3.74037 + 6.47851i −0.187961 + 0.325557i
\(397\) 2.99218 + 5.18262i 0.150173 + 0.260108i 0.931291 0.364276i \(-0.118683\pi\)
−0.781118 + 0.624384i \(0.785350\pi\)
\(398\) 31.9858 1.60330
\(399\) −3.48395 + 5.43972i −0.174416 + 0.272327i
\(400\) 82.7095 4.13548
\(401\) 7.93175 + 13.7382i 0.396092 + 0.686052i 0.993240 0.116079i \(-0.0370326\pi\)
−0.597147 + 0.802131i \(0.703699\pi\)
\(402\) −12.8451 + 22.2484i −0.640656 + 1.10965i
\(403\) 1.32315 2.29176i 0.0659106 0.114161i
\(404\) −2.35369 4.07671i −0.117101 0.202824i
\(405\) 4.31735 0.214531
\(406\) −53.5671 2.46822i −2.65849 0.122496i
\(407\) −15.8318 −0.784752
\(408\) −14.4263 24.9872i −0.714210 1.23705i
\(409\) −12.4692 + 21.5973i −0.616563 + 1.06792i 0.373546 + 0.927612i \(0.378142\pi\)
−0.990108 + 0.140306i \(0.955191\pi\)
\(410\) 35.8773 62.1413i 1.77185 3.06894i
\(411\) 0.123702 + 0.214258i 0.00610176 + 0.0105686i
\(412\) −13.9785 −0.688673
\(413\) −2.23148 4.31198i −0.109804 0.212179i
\(414\) 2.51520 0.123616
\(415\) 23.4947 + 40.6939i 1.15331 + 1.99759i
\(416\) 5.12881 8.88335i 0.251460 0.435542i
\(417\) −4.29974 + 7.44737i −0.210559 + 0.364699i
\(418\) −5.30938 9.19611i −0.259690 0.449796i
\(419\) −13.2262 −0.646140 −0.323070 0.946375i \(-0.604715\pi\)
−0.323070 + 0.946375i \(0.604715\pi\)
\(420\) −22.7126 43.8885i −1.10826 2.14154i
\(421\) −5.82168 −0.283731 −0.141866 0.989886i \(-0.545310\pi\)
−0.141866 + 0.989886i \(0.545310\pi\)
\(422\) 21.4421 + 37.1388i 1.04378 + 1.80789i
\(423\) 0.199824 0.346106i 0.00971579 0.0168282i
\(424\) −19.1477 + 33.1649i −0.929897 + 1.61063i
\(425\) 33.6300 + 58.2488i 1.63129 + 2.82548i
\(426\) 22.6416 1.09699
\(427\) 3.43915 + 0.158466i 0.166432 + 0.00766873i
\(428\) −4.05326 −0.195922
\(429\) −2.49811 4.32686i −0.120610 0.208903i
\(430\) −58.3347 + 101.039i −2.81315 + 4.87252i
\(431\) −3.10956 + 5.38592i −0.149782 + 0.259431i −0.931147 0.364644i \(-0.881191\pi\)
0.781365 + 0.624075i \(0.214524\pi\)
\(432\) 3.03197 + 5.25153i 0.145876 + 0.252664i
\(433\) −2.16316 −0.103955 −0.0519774 0.998648i \(-0.516552\pi\)
−0.0519774 + 0.998648i \(0.516552\pi\)
\(434\) 3.28705 5.13229i 0.157784 0.246358i
\(435\) −34.7900 −1.66805
\(436\) 32.3997 + 56.1179i 1.55166 + 2.68756i
\(437\) −1.22078 + 2.11445i −0.0583978 + 0.101148i
\(438\) −3.29134 + 5.70077i −0.157266 + 0.272393i
\(439\) −5.76278 9.98142i −0.275042 0.476387i 0.695103 0.718910i \(-0.255359\pi\)
−0.970146 + 0.242522i \(0.922025\pi\)
\(440\) 43.6798 2.08235
\(441\) −4.04264 + 5.71463i −0.192507 + 0.272125i
\(442\) 35.8376 1.70462
\(443\) −4.56520 7.90716i −0.216899 0.375681i 0.736959 0.675937i \(-0.236261\pi\)
−0.953858 + 0.300257i \(0.902928\pi\)
\(444\) −19.8052 + 34.3035i −0.939911 + 1.62797i
\(445\) −32.3504 + 56.0326i −1.53356 + 2.65620i
\(446\) −29.3371 50.8134i −1.38915 2.40608i
\(447\) −4.50669 −0.213159
\(448\) −4.56441 + 7.12670i −0.215648 + 0.336705i
\(449\) −20.6827 −0.976079 −0.488039 0.872822i \(-0.662288\pi\)
−0.488039 + 0.872822i \(0.662288\pi\)
\(450\) −17.1531 29.7101i −0.808606 1.40055i
\(451\) 5.71297 9.89515i 0.269013 0.465944i
\(452\) 30.5917 52.9864i 1.43891 2.49227i
\(453\) −2.26383 3.92107i −0.106364 0.184228i
\(454\) −19.3066 −0.906102
\(455\) 32.9697 + 1.51915i 1.54565 + 0.0712189i
\(456\) −14.2856 −0.668983
\(457\) −12.2979 21.3006i −0.575271 0.996398i −0.996012 0.0892174i \(-0.971563\pi\)
0.420742 0.907181i \(-0.361770\pi\)
\(458\) 28.7659 49.8240i 1.34414 2.32812i
\(459\) −2.46562 + 4.27058i −0.115085 + 0.199334i
\(460\) −9.33898 16.1756i −0.435432 0.754191i
\(461\) −3.35047 −0.156047 −0.0780235 0.996952i \(-0.524861\pi\)
−0.0780235 + 0.996952i \(0.524861\pi\)
\(462\) −5.28863 10.2195i −0.246049 0.475452i
\(463\) −30.2309 −1.40495 −0.702476 0.711708i \(-0.747922\pi\)
−0.702476 + 0.711708i \(0.747922\pi\)
\(464\) −24.4322 42.3177i −1.13423 1.96455i
\(465\) 1.97704 3.42434i 0.0916832 0.158800i
\(466\) −29.6239 + 51.3101i −1.37230 + 2.37690i
\(467\) 15.0708 + 26.1034i 0.697394 + 1.20792i 0.969367 + 0.245617i \(0.0789904\pi\)
−0.271973 + 0.962305i \(0.587676\pi\)
\(468\) −12.5003 −0.577827
\(469\) −12.4203 24.0003i −0.573516 1.10823i
\(470\) −4.33980 −0.200180
\(471\) −1.63364 2.82954i −0.0752740 0.130378i
\(472\) 5.36853 9.29856i 0.247106 0.428001i
\(473\) −9.28900 + 16.0890i −0.427109 + 0.739774i
\(474\) 12.8112 + 22.1897i 0.588438 + 1.01921i
\(475\) 33.3018 1.52799
\(476\) 56.3841 + 2.59802i 2.58436 + 0.119080i
\(477\) 6.54512 0.299681
\(478\) −16.5789 28.7154i −0.758300 1.31341i
\(479\) −14.5172 + 25.1445i −0.663308 + 1.14888i 0.316433 + 0.948615i \(0.397515\pi\)
−0.979741 + 0.200268i \(0.935819\pi\)
\(480\) 7.66346 13.2735i 0.349787 0.605849i
\(481\) −13.2274 22.9106i −0.603120 1.04463i
\(482\) −43.4301 −1.97819
\(483\) −1.42694 + 2.22797i −0.0649279 + 0.101376i
\(484\) −34.6534 −1.57516
\(485\) 6.62963 + 11.4829i 0.301036 + 0.521410i
\(486\) 1.25760 2.17823i 0.0570460 0.0988065i
\(487\) 8.65283 14.9871i 0.392097 0.679132i −0.600629 0.799528i \(-0.705083\pi\)
0.992726 + 0.120396i \(0.0384163\pi\)
\(488\) 3.80683 + 6.59362i 0.172327 + 0.298479i
\(489\) −10.6420 −0.481250
\(490\) 75.6911 + 6.99010i 3.41938 + 0.315781i
\(491\) 14.2287 0.642133 0.321067 0.947057i \(-0.395959\pi\)
0.321067 + 0.947057i \(0.395959\pi\)
\(492\) −14.2936 24.7572i −0.644404 1.11614i
\(493\) 19.8684 34.4131i 0.894827 1.54989i
\(494\) 8.87197 15.3667i 0.399169 0.691380i
\(495\) −3.73268 6.46519i −0.167771 0.290589i
\(496\) 5.55372 0.249369
\(497\) −12.8451 + 20.0560i −0.576184 + 0.899633i
\(498\) 27.3750 1.22670
\(499\) −5.55858 9.62774i −0.248836 0.430997i 0.714367 0.699771i \(-0.246715\pi\)
−0.963203 + 0.268774i \(0.913381\pi\)
\(500\) −80.6846 + 139.750i −3.60832 + 6.24980i
\(501\) 1.49906 2.59644i 0.0669730 0.116001i
\(502\) −5.97306 10.3456i −0.266591 0.461749i
\(503\) 25.5401 1.13878 0.569389 0.822068i \(-0.307180\pi\)
0.569389 + 0.822068i \(0.307180\pi\)
\(504\) −15.4639 0.712531i −0.688816 0.0317387i
\(505\) 4.69770 0.209045
\(506\) −2.17458 3.76649i −0.0966720 0.167441i
\(507\) −2.32565 + 4.02815i −0.103286 + 0.178896i
\(508\) 3.84966 6.66781i 0.170801 0.295836i
\(509\) −15.1797 26.2920i −0.672829 1.16537i −0.977098 0.212788i \(-0.931746\pi\)
0.304269 0.952586i \(-0.401588\pi\)
\(510\) 53.5485 2.37117
\(511\) −3.18249 6.14966i −0.140785 0.272045i
\(512\) −49.4328 −2.18464
\(513\) 1.22078 + 2.11445i 0.0538988 + 0.0933554i
\(514\) −1.79691 + 3.11233i −0.0792581 + 0.137279i
\(515\) 6.97489 12.0809i 0.307351 0.532347i
\(516\) 23.2406 + 40.2540i 1.02311 + 1.77208i
\(517\) −0.691053 −0.0303925
\(518\) −28.0031 54.1117i −1.23039 2.37753i
\(519\) 13.2996 0.583789
\(520\) 36.4944 + 63.2102i 1.60039 + 2.77195i
\(521\) 12.3504 21.3914i 0.541079 0.937176i −0.457763 0.889074i \(-0.651349\pi\)
0.998842 0.0481022i \(-0.0153173\pi\)
\(522\) −10.1340 + 17.5526i −0.443552 + 0.768254i
\(523\) 14.2677 + 24.7123i 0.623881 + 1.08059i 0.988756 + 0.149537i \(0.0477783\pi\)
−0.364875 + 0.931056i \(0.618888\pi\)
\(524\) 38.4718 1.68065
\(525\) 36.0486 + 1.66102i 1.57329 + 0.0724927i
\(526\) 22.1777 0.966994
\(527\) 2.25816 + 3.91125i 0.0983671 + 0.170377i
\(528\) 5.24274 9.08069i 0.228161 0.395186i
\(529\) −0.500000 + 0.866025i −0.0217391 + 0.0376533i
\(530\) −35.5368 61.5516i −1.54362 2.67363i
\(531\) −1.83508 −0.0796357
\(532\) 15.0725 23.5336i 0.653474 1.02031i
\(533\) 19.0927 0.826998
\(534\) 18.8467 + 32.6435i 0.815577 + 1.41262i
\(535\) 2.02246 3.50301i 0.0874387 0.151448i
\(536\) 29.8810 51.7553i 1.29066 2.23549i
\(537\) 9.81485 + 16.9998i 0.423542 + 0.733596i
\(538\) −32.4928 −1.40086
\(539\) 12.0528 + 1.11308i 0.519149 + 0.0479436i
\(540\) −18.6780 −0.803771
\(541\) 3.87196 + 6.70643i 0.166469 + 0.288332i 0.937176 0.348857i \(-0.113430\pi\)
−0.770707 + 0.637189i \(0.780097\pi\)
\(542\) −16.7871 + 29.0762i −0.721069 + 1.24893i
\(543\) 9.60475 16.6359i 0.412179 0.713915i
\(544\) 8.75313 + 15.1609i 0.375287 + 0.650017i
\(545\) −64.6661 −2.76999
\(546\) 10.3702 16.1917i 0.443804 0.692940i
\(547\) 36.8996 1.57771 0.788856 0.614578i \(-0.210674\pi\)
0.788856 + 0.614578i \(0.210674\pi\)
\(548\) −0.535165 0.926933i −0.0228611 0.0395966i
\(549\) 0.650629 1.12692i 0.0277682 0.0480959i
\(550\) −29.6603 + 51.3732i −1.26472 + 2.19056i
\(551\) −9.83725 17.0386i −0.419081 0.725870i
\(552\) −5.85100 −0.249035
\(553\) −26.9237 1.24057i −1.14491 0.0527544i
\(554\) −38.9821 −1.65619
\(555\) −19.7644 34.2330i −0.838954 1.45311i
\(556\) 18.6018 32.2192i 0.788891 1.36640i
\(557\) −14.1322 + 24.4778i −0.598802 + 1.03716i 0.394196 + 0.919026i \(0.371023\pi\)
−0.992998 + 0.118130i \(0.962310\pi\)
\(558\) −1.15179 1.99495i −0.0487590 0.0844531i
\(559\) −31.0438 −1.31301
\(560\) 31.8354 + 61.5169i 1.34529 + 2.59956i
\(561\) 8.52686 0.360004
\(562\) −29.6905 51.4255i −1.25242 2.16925i
\(563\) 4.81106 8.33300i 0.202762 0.351194i −0.746655 0.665211i \(-0.768342\pi\)
0.949417 + 0.314017i \(0.101675\pi\)
\(564\) −0.864490 + 1.49734i −0.0364016 + 0.0630494i
\(565\) 30.5288 + 52.8774i 1.28436 + 2.22457i
\(566\) 59.5637 2.50365
\(567\) 1.21601 + 2.34975i 0.0510676 + 0.0986802i
\(568\) −52.6701 −2.20999
\(569\) 7.85731 + 13.6093i 0.329396 + 0.570530i 0.982392 0.186831i \(-0.0598217\pi\)
−0.652996 + 0.757361i \(0.726488\pi\)
\(570\) 13.2565 22.9609i 0.555253 0.961726i
\(571\) −5.67209 + 9.82434i −0.237369 + 0.411136i −0.959959 0.280142i \(-0.909619\pi\)
0.722589 + 0.691278i \(0.242952\pi\)
\(572\) 10.8075 + 18.7191i 0.451883 + 0.782684i
\(573\) 7.15375 0.298852
\(574\) 43.9259 + 2.02398i 1.83343 + 0.0844793i
\(575\) 13.6396 0.568809
\(576\) 1.59937 + 2.77019i 0.0666405 + 0.115425i
\(577\) 3.97526 6.88535i 0.165492 0.286641i −0.771338 0.636426i \(-0.780412\pi\)
0.936830 + 0.349785i \(0.113745\pi\)
\(578\) −9.20207 + 15.9384i −0.382755 + 0.662952i
\(579\) −10.9786 19.0156i −0.456257 0.790259i
\(580\) 150.510 6.24959
\(581\) −15.5305 + 24.2488i −0.644315 + 1.00601i
\(582\) 7.72458 0.320194
\(583\) −5.65875 9.80125i −0.234362 0.405926i
\(584\) 7.65649 13.2614i 0.316828 0.548762i
\(585\) 6.23731 10.8033i 0.257881 0.446663i
\(586\) −26.5691 46.0191i −1.09756 1.90103i
\(587\) 21.2897 0.878718 0.439359 0.898311i \(-0.355206\pi\)
0.439359 + 0.898311i \(0.355206\pi\)
\(588\) 17.4895 24.7229i 0.721254 1.01956i
\(589\) 2.23613 0.0921379
\(590\) 9.96360 + 17.2575i 0.410195 + 0.710478i
\(591\) 1.60514 2.78018i 0.0660266 0.114361i
\(592\) 27.7602 48.0820i 1.14094 1.97616i
\(593\) 4.83858 + 8.38066i 0.198696 + 0.344152i 0.948106 0.317954i \(-0.102996\pi\)
−0.749410 + 0.662107i \(0.769663\pi\)
\(594\) −4.34917 −0.178448
\(595\) −30.3794 + 47.4333i −1.24543 + 1.94458i
\(596\) 19.4971 0.798631
\(597\) 6.35849 + 11.0132i 0.260236 + 0.450741i
\(598\) 3.63373 6.29380i 0.148594 0.257373i
\(599\) −12.9896 + 22.4986i −0.530740 + 0.919268i 0.468617 + 0.883402i \(0.344753\pi\)
−0.999357 + 0.0358668i \(0.988581\pi\)
\(600\) 39.9025 + 69.1131i 1.62901 + 2.82153i
\(601\) 31.2857 1.27617 0.638084 0.769967i \(-0.279727\pi\)
0.638084 + 0.769967i \(0.279727\pi\)
\(602\) −71.4213 3.29089i −2.91092 0.134127i
\(603\) −10.2140 −0.415945
\(604\) 9.79389 + 16.9635i 0.398508 + 0.690236i
\(605\) 17.2911 29.9490i 0.702983 1.21760i
\(606\) 1.36839 2.37013i 0.0555872 0.0962798i
\(607\) −14.4582 25.0423i −0.586838 1.01643i −0.994644 0.103365i \(-0.967039\pi\)
0.407805 0.913069i \(-0.366294\pi\)
\(608\) 8.66771 0.351522
\(609\) −9.79881 18.9347i −0.397068 0.767272i
\(610\) −14.1304 −0.572123
\(611\) −0.577375 1.00004i −0.0233581 0.0404574i
\(612\) 10.6669 18.4756i 0.431184 0.746832i
\(613\) 23.9924 41.5560i 0.969043 1.67843i 0.270707 0.962662i \(-0.412742\pi\)
0.698336 0.715770i \(-0.253924\pi\)
\(614\) 2.48909 + 4.31123i 0.100451 + 0.173987i
\(615\) 28.5283 1.15037
\(616\) 12.3027 + 23.7730i 0.495689 + 0.957842i
\(617\) 41.9964 1.69071 0.845355 0.534205i \(-0.179389\pi\)
0.845355 + 0.534205i \(0.179389\pi\)
\(618\) −4.06343 7.03807i −0.163455 0.283113i
\(619\) 4.71191 8.16126i 0.189388 0.328029i −0.755659 0.654966i \(-0.772683\pi\)
0.945046 + 0.326937i \(0.106016\pi\)
\(620\) −8.55319 + 14.8146i −0.343504 + 0.594967i
\(621\) 0.500000 + 0.866025i 0.0200643 + 0.0347524i
\(622\) −9.80123 −0.392994
\(623\) −39.6078 1.82502i −1.58685 0.0731177i
\(624\) 17.5212 0.701411
\(625\) −46.4198 80.4015i −1.85679 3.21606i
\(626\) −22.2072 + 38.4640i −0.887579 + 1.53733i
\(627\) 2.11091 3.65621i 0.0843017 0.146015i
\(628\) 7.06752 + 12.2413i 0.282025 + 0.488481i
\(629\) 45.1495 1.80023
\(630\) 15.4952 24.1936i 0.617342 0.963895i
\(631\) 6.84273 0.272405 0.136202 0.990681i \(-0.456510\pi\)
0.136202 + 0.990681i \(0.456510\pi\)
\(632\) −29.8021 51.6187i −1.18546 2.05328i
\(633\) −8.52498 + 14.7657i −0.338838 + 0.586884i
\(634\) 15.5092 26.8626i 0.615947 1.06685i
\(635\) 3.84175 + 6.65410i 0.152455 + 0.264060i
\(636\) −28.3159 −1.12280
\(637\) 8.45932 + 18.3719i 0.335170 + 0.727920i
\(638\) 35.0463 1.38750
\(639\) 4.50095 + 7.79587i 0.178055 + 0.308400i
\(640\) 32.6945 56.6286i 1.29236 2.23844i
\(641\) −3.51011 + 6.07968i −0.138641 + 0.240133i −0.926982 0.375105i \(-0.877607\pi\)
0.788342 + 0.615238i \(0.210940\pi\)
\(642\) −1.17825 2.04078i −0.0465017 0.0805432i
\(643\) −47.1743 −1.86037 −0.930185 0.367090i \(-0.880354\pi\)
−0.930185 + 0.367090i \(0.880354\pi\)
\(644\) 6.17329 9.63876i 0.243262 0.379820i
\(645\) −46.3857 −1.82643
\(646\) 15.1414 + 26.2257i 0.595732 + 1.03184i
\(647\) −11.9835 + 20.7560i −0.471119 + 0.816003i −0.999454 0.0330335i \(-0.989483\pi\)
0.528335 + 0.849036i \(0.322817\pi\)
\(648\) −2.92550 + 5.06711i −0.114924 + 0.199055i
\(649\) 1.58657 + 2.74801i 0.0622782 + 0.107869i
\(650\) −99.1249 −3.88800
\(651\) 2.42057 + 0.111533i 0.0948695 + 0.00437132i
\(652\) 46.0401 1.80307
\(653\) 9.16565 + 15.8754i 0.358679 + 0.621251i 0.987740 0.156105i \(-0.0498938\pi\)
−0.629061 + 0.777356i \(0.716560\pi\)
\(654\) −18.8366 + 32.6259i −0.736569 + 1.27577i
\(655\) −19.1963 + 33.2490i −0.750063 + 1.29915i
\(656\) 20.0348 + 34.7012i 0.782226 + 1.35486i
\(657\) −2.61716 −0.102105
\(658\) −1.22233 2.36196i −0.0476514 0.0920789i
\(659\) 16.4341 0.640183 0.320092 0.947387i \(-0.396286\pi\)
0.320092 + 0.947387i \(0.396286\pi\)
\(660\) 16.1485 + 27.9700i 0.628580 + 1.08873i
\(661\) 15.0175 26.0111i 0.584113 1.01171i −0.410872 0.911693i \(-0.634776\pi\)
0.994985 0.100021i \(-0.0318910\pi\)
\(662\) −7.30119 + 12.6460i −0.283769 + 0.491502i
\(663\) 7.12419 + 12.3395i 0.276681 + 0.479225i
\(664\) −63.6812 −2.47131
\(665\) 12.8181 + 24.7689i 0.497063 + 0.960497i
\(666\) −23.0287 −0.892345
\(667\) −4.02908 6.97858i −0.156007 0.270212i
\(668\) −6.48530 + 11.2329i −0.250924 + 0.434613i
\(669\) 11.6639 20.2025i 0.450953 0.781073i
\(670\) 55.4569 + 96.0542i 2.14249 + 3.71090i
\(671\) −2.25007 −0.0868630
\(672\) 9.38265 + 0.432326i 0.361944 + 0.0166773i
\(673\) 17.0642 0.657776 0.328888 0.944369i \(-0.393326\pi\)
0.328888 + 0.944369i \(0.393326\pi\)
\(674\) 28.3515 + 49.1062i 1.09206 + 1.89150i
\(675\) 6.81978 11.8122i 0.262493 0.454652i
\(676\) 10.0614 17.4268i 0.386975 0.670261i
\(677\) 18.8278 + 32.6106i 0.723610 + 1.25333i 0.959544 + 0.281560i \(0.0908518\pi\)
−0.235934 + 0.971769i \(0.575815\pi\)
\(678\) 35.5709 1.36609
\(679\) −4.38235 + 6.84244i −0.168179 + 0.262589i
\(680\) −124.567 −4.77694
\(681\) −3.83797 6.64756i −0.147071 0.254735i
\(682\) −1.99161 + 3.44957i −0.0762628 + 0.132091i
\(683\) 20.3875 35.3121i 0.780104 1.35118i −0.151776 0.988415i \(-0.548499\pi\)
0.931880 0.362766i \(-0.118167\pi\)
\(684\) −5.28140 9.14765i −0.201939 0.349769i
\(685\) 1.06813 0.0408111
\(686\) 17.5145 + 43.1642i 0.668705 + 1.64802i
\(687\) 22.8736 0.872683
\(688\) −32.5755 56.4225i −1.24193 2.15109i
\(689\) 9.45578 16.3779i 0.360236 0.623948i
\(690\) 5.42951 9.40419i 0.206698 0.358012i
\(691\) −1.99453 3.45463i −0.0758756 0.131420i 0.825591 0.564269i \(-0.190842\pi\)
−0.901467 + 0.432848i \(0.857509\pi\)
\(692\) −57.5376 −2.18725
\(693\) 2.46739 3.85250i 0.0937284 0.146344i
\(694\) −18.8572 −0.715811
\(695\) 18.5635 + 32.1529i 0.704154 + 1.21963i
\(696\) 23.5742 40.8316i 0.893576 1.54772i
\(697\) −16.2924 + 28.2193i −0.617119 + 1.06888i
\(698\) 10.0275 + 17.3681i 0.379545 + 0.657391i
\(699\) −23.5559 −0.890965
\(700\) −155.955 7.18598i −5.89456 0.271604i
\(701\) 3.27653 0.123753 0.0618763 0.998084i \(-0.480292\pi\)
0.0618763 + 0.998084i \(0.480292\pi\)
\(702\) −3.63373 6.29380i −0.137146 0.237544i
\(703\) 11.1772 19.3595i 0.421557 0.730158i
\(704\) 2.76555 4.79008i 0.104231 0.180533i
\(705\) −0.862713 1.49426i −0.0324916 0.0562772i
\(706\) −74.2712 −2.79523
\(707\) 1.32314 + 2.55676i 0.0497617 + 0.0961567i
\(708\) 7.93902 0.298367
\(709\) 3.58140 + 6.20316i 0.134502 + 0.232965i 0.925407 0.378974i \(-0.123723\pi\)
−0.790905 + 0.611939i \(0.790390\pi\)
\(710\) 48.8759 84.6556i 1.83428 3.17707i
\(711\) −5.09351 + 8.82221i −0.191021 + 0.330859i
\(712\) −43.8422 75.9369i −1.64306 2.84586i
\(713\) 0.915859 0.0342992
\(714\) 15.0823 + 29.1441i 0.564440 + 1.09069i
\(715\) −21.5705 −0.806690
\(716\) −42.4615 73.5455i −1.58686 2.74852i
\(717\) 6.59146 11.4167i 0.246163 0.426366i
\(718\) 16.5006 28.5798i 0.615795 1.06659i
\(719\) −24.6871 42.7593i −0.920673 1.59465i −0.798377 0.602158i \(-0.794308\pi\)
−0.122296 0.992494i \(-0.539026\pi\)
\(720\) 26.1802 0.975679
\(721\) 8.53962 + 0.393481i 0.318032 + 0.0146540i
\(722\) −32.7952 −1.22051
\(723\) −8.63351 14.9537i −0.321084 0.556134i
\(724\) −41.5526 + 71.9711i −1.54429 + 2.67479i
\(725\) −54.9549 + 95.1847i −2.04097 + 3.53507i
\(726\) −10.0734 17.4477i −0.373860 0.647545i
\(727\) −15.4034 −0.571281 −0.285640 0.958337i \(-0.592206\pi\)
−0.285640 + 0.958337i \(0.592206\pi\)
\(728\) −24.1237 + 37.6659i −0.894084 + 1.39599i
\(729\) 1.00000 0.0370370
\(730\) 14.2099 + 24.6122i 0.525932 + 0.910940i
\(731\) 26.4907 45.8832i 0.979792 1.69705i
\(732\) −2.81478 + 4.87535i −0.104037 + 0.180198i
\(733\) −6.10551 10.5751i −0.225512 0.390599i 0.730961 0.682420i \(-0.239072\pi\)
−0.956473 + 0.291821i \(0.905739\pi\)
\(734\) 13.2392 0.488669
\(735\) 12.6399 + 27.4512i 0.466230 + 1.01255i
\(736\) 3.55007 0.130857
\(737\) 8.83075 + 15.2953i 0.325285 + 0.563410i
\(738\) 8.31002 14.3934i 0.305896 0.529828i
\(739\) −16.2402 + 28.1288i −0.597404 + 1.03473i 0.395798 + 0.918337i \(0.370468\pi\)
−0.993203 + 0.116397i \(0.962865\pi\)
\(740\) 85.5059 + 148.101i 3.14326 + 5.44429i
\(741\) 7.05467 0.259160
\(742\) 23.4907 36.6776i 0.862371 1.34648i
\(743\) −40.1671 −1.47359 −0.736795 0.676117i \(-0.763662\pi\)
−0.736795 + 0.676117i \(0.763662\pi\)
\(744\) 2.67934 + 4.64076i 0.0982295 + 0.170139i
\(745\) −9.72849 + 16.8502i −0.356424 + 0.617345i
\(746\) 15.9081 27.5536i 0.582436 1.00881i
\(747\) 5.44191 + 9.42566i 0.199109 + 0.344867i
\(748\) −36.8893 −1.34881
\(749\) 2.47617 + 0.114095i 0.0904774 + 0.00416894i
\(750\) −93.8171 −3.42572
\(751\) −22.1518 38.3680i −0.808330 1.40007i −0.914020 0.405670i \(-0.867038\pi\)
0.105689 0.994399i \(-0.466295\pi\)
\(752\) 1.21172 2.09877i 0.0441870 0.0765342i
\(753\) 2.37478 4.11324i 0.0865418 0.149895i
\(754\) 29.2812 + 50.7165i 1.06636 + 1.84699i
\(755\) −19.5475 −0.711406
\(756\) −5.26076 10.1656i −0.191332 0.369719i
\(757\) 41.4696 1.50724 0.753620 0.657311i \(-0.228306\pi\)
0.753620 + 0.657311i \(0.228306\pi\)
\(758\) −16.0957 27.8786i −0.584622 1.01259i
\(759\) 0.864575 1.49749i 0.0313821 0.0543554i
\(760\) −30.8379 + 53.4128i −1.11861 + 1.93749i
\(761\) 1.58650 + 2.74790i 0.0575107 + 0.0996114i 0.893347 0.449367i \(-0.148350\pi\)
−0.835837 + 0.548978i \(0.815017\pi\)
\(762\) 4.47625 0.162157
\(763\) −18.2136 35.1950i −0.659377 1.27414i
\(764\) −30.9489 −1.11969
\(765\) 10.6450 + 18.4376i 0.384869 + 0.666613i
\(766\) 20.9100 36.2172i 0.755510 1.30858i
\(767\) −2.65115 + 4.59193i −0.0957275 + 0.165805i
\(768\) −15.8484 27.4503i −0.571881 0.990527i
\(769\) −13.6487 −0.492184 −0.246092 0.969246i \(-0.579147\pi\)
−0.246092 + 0.969246i \(0.579147\pi\)
\(770\) −49.6263 2.28664i −1.78841 0.0824048i
\(771\) −1.42884 −0.0514582
\(772\) 47.4963 + 82.2661i 1.70943 + 2.96082i
\(773\) 14.2374 24.6599i 0.512083 0.886954i −0.487819 0.872945i \(-0.662207\pi\)
0.999902 0.0140088i \(-0.00445929\pi\)
\(774\) −13.5117 + 23.4029i −0.485667 + 0.841201i
\(775\) −6.24595 10.8183i −0.224361 0.388605i
\(776\) −17.9693 −0.645061
\(777\) 13.0648 20.3989i 0.468696 0.731805i
\(778\) −7