Properties

Label 570.2.k.b.77.10
Level $570$
Weight $2$
Character 570.77
Analytic conductor $4.551$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.k (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.10
Character \(\chi\) \(=\) 570.77
Dual form 570.2.k.b.533.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 - 0.707107i) q^{2} +(-1.66046 - 0.492817i) q^{3} -1.00000i q^{4} +(1.86278 - 1.23695i) q^{5} +(-1.52260 + 0.825649i) q^{6} +(-3.33681 - 3.33681i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.51426 + 1.63661i) q^{9} +O(q^{10})\) \(q+(0.707107 - 0.707107i) q^{2} +(-1.66046 - 0.492817i) q^{3} -1.00000i q^{4} +(1.86278 - 1.23695i) q^{5} +(-1.52260 + 0.825649i) q^{6} +(-3.33681 - 3.33681i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.51426 + 1.63661i) q^{9} +(0.442526 - 2.19184i) q^{10} +0.00329918i q^{11} +(-0.492817 + 1.66046i) q^{12} +(1.14909 - 1.14909i) q^{13} -4.71896 q^{14} +(-3.70266 + 1.13590i) q^{15} -1.00000 q^{16} +(-4.95340 + 4.95340i) q^{17} +(2.93511 - 0.620596i) q^{18} -1.00000i q^{19} +(-1.23695 - 1.86278i) q^{20} +(3.89620 + 7.18507i) q^{21} +(0.00233287 + 0.00233287i) q^{22} +(-1.28904 - 1.28904i) q^{23} +(0.825649 + 1.52260i) q^{24} +(1.93989 - 4.60834i) q^{25} -1.62506i q^{26} +(-3.36829 - 3.95659i) q^{27} +(-3.33681 + 3.33681i) q^{28} +1.91798 q^{29} +(-1.81497 + 3.42138i) q^{30} -3.49143 q^{31} +(-0.707107 + 0.707107i) q^{32} +(0.00162589 - 0.00547816i) q^{33} +7.00516i q^{34} +(-10.3432 - 2.08826i) q^{35} +(1.63661 - 2.51426i) q^{36} +(-6.71219 - 6.71219i) q^{37} +(-0.707107 - 0.707107i) q^{38} +(-2.47431 + 1.34173i) q^{39} +(-2.19184 - 0.442526i) q^{40} -3.63777i q^{41} +(7.83564 + 2.32558i) q^{42} +(1.52133 - 1.52133i) q^{43} +0.00329918 q^{44} +(6.70792 - 0.0613876i) q^{45} -1.82298 q^{46} +(-2.07305 + 2.07305i) q^{47} +(1.66046 + 0.492817i) q^{48} +15.2685i q^{49} +(-1.88688 - 4.63030i) q^{50} +(10.6660 - 5.78381i) q^{51} +(-1.14909 - 1.14909i) q^{52} +(5.97702 + 5.97702i) q^{53} +(-5.17947 - 0.415995i) q^{54} +(0.00408093 + 0.00614564i) q^{55} +4.71896i q^{56} +(-0.492817 + 1.66046i) q^{57} +(1.35622 - 1.35622i) q^{58} +11.8886 q^{59} +(1.13590 + 3.70266i) q^{60} -1.95331 q^{61} +(-2.46881 + 2.46881i) q^{62} +(-2.92857 - 13.8506i) q^{63} +1.00000i q^{64} +(0.719129 - 3.56186i) q^{65} +(-0.00272396 - 0.00502332i) q^{66} +(-5.56623 - 5.56623i) q^{67} +(4.95340 + 4.95340i) q^{68} +(1.50514 + 2.77566i) q^{69} +(-8.79037 + 5.83713i) q^{70} -3.22989i q^{71} +(-0.620596 - 2.93511i) q^{72} +(10.3760 - 10.3760i) q^{73} -9.49246 q^{74} +(-5.49219 + 6.69596i) q^{75} -1.00000 q^{76} +(0.0110087 - 0.0110087i) q^{77} +(-0.800855 + 2.69834i) q^{78} -12.5069i q^{79} +(-1.86278 + 1.23695i) q^{80} +(3.64303 + 8.22972i) q^{81} +(-2.57229 - 2.57229i) q^{82} +(9.29959 + 9.29959i) q^{83} +(7.18507 - 3.89620i) q^{84} +(-3.09997 + 15.3542i) q^{85} -2.15149i q^{86} +(-3.18473 - 0.945213i) q^{87} +(0.00233287 - 0.00233287i) q^{88} -6.59825 q^{89} +(4.69981 - 4.78663i) q^{90} -7.66856 q^{91} +(-1.28904 + 1.28904i) q^{92} +(5.79738 + 1.72063i) q^{93} +2.93174i q^{94} +(-1.23695 - 1.86278i) q^{95} +(1.52260 - 0.825649i) q^{96} +(7.72270 + 7.72270i) q^{97} +(10.7965 + 10.7965i) q^{98} +(-0.00539946 + 0.00829500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{3} + 4q^{6} + 20q^{7} + O(q^{10}) \) \( 36q + 4q^{3} + 4q^{6} + 20q^{7} - 4q^{10} - 4q^{12} + 8q^{13} + 4q^{15} - 36q^{16} + 16q^{21} - 4q^{22} + 16q^{25} - 44q^{27} + 20q^{28} + 32q^{30} - 24q^{31} - 4q^{33} + 4q^{36} - 8q^{40} + 12q^{42} - 8q^{43} + 28q^{45} - 16q^{46} - 4q^{48} + 40q^{51} - 8q^{52} - 36q^{55} - 4q^{57} + 44q^{58} + 16q^{60} - 120q^{61} - 12q^{63} + 80q^{67} - 36q^{70} + 44q^{73} + 4q^{75} - 36q^{76} - 64q^{78} + 36q^{81} + 8q^{82} - 24q^{85} - 28q^{87} - 4q^{88} + 44q^{90} - 72q^{93} - 4q^{96} + 92q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 0.707107i 0.500000 0.500000i
\(3\) −1.66046 0.492817i −0.958668 0.284528i
\(4\) 1.00000i 0.500000i
\(5\) 1.86278 1.23695i 0.833060 0.553182i
\(6\) −1.52260 + 0.825649i −0.621598 + 0.337070i
\(7\) −3.33681 3.33681i −1.26119 1.26119i −0.950515 0.310679i \(-0.899444\pi\)
−0.310679 0.950515i \(-0.600556\pi\)
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 2.51426 + 1.63661i 0.838088 + 0.545536i
\(10\) 0.442526 2.19184i 0.139939 0.693121i
\(11\) 0.00329918i 0.000994740i 1.00000 0.000497370i \(0.000158318\pi\)
−1.00000 0.000497370i \(0.999842\pi\)
\(12\) −0.492817 + 1.66046i −0.142264 + 0.479334i
\(13\) 1.14909 1.14909i 0.318700 0.318700i −0.529568 0.848268i \(-0.677646\pi\)
0.848268 + 0.529568i \(0.177646\pi\)
\(14\) −4.71896 −1.26119
\(15\) −3.70266 + 1.13590i −0.956024 + 0.293289i
\(16\) −1.00000 −0.250000
\(17\) −4.95340 + 4.95340i −1.20138 + 1.20138i −0.227627 + 0.973748i \(0.573097\pi\)
−0.973748 + 0.227627i \(0.926903\pi\)
\(18\) 2.93511 0.620596i 0.691812 0.146276i
\(19\) 1.00000i 0.229416i
\(20\) −1.23695 1.86278i −0.276591 0.416530i
\(21\) 3.89620 + 7.18507i 0.850221 + 1.56791i
\(22\) 0.00233287 + 0.00233287i 0.000497370 + 0.000497370i
\(23\) −1.28904 1.28904i −0.268783 0.268783i 0.559826 0.828610i \(-0.310868\pi\)
−0.828610 + 0.559826i \(0.810868\pi\)
\(24\) 0.825649 + 1.52260i 0.168535 + 0.310799i
\(25\) 1.93989 4.60834i 0.387979 0.921668i
\(26\) 1.62506i 0.318700i
\(27\) −3.36829 3.95659i −0.648227 0.761447i
\(28\) −3.33681 + 3.33681i −0.630597 + 0.630597i
\(29\) 1.91798 0.356160 0.178080 0.984016i \(-0.443011\pi\)
0.178080 + 0.984016i \(0.443011\pi\)
\(30\) −1.81497 + 3.42138i −0.331367 + 0.624656i
\(31\) −3.49143 −0.627079 −0.313539 0.949575i \(-0.601515\pi\)
−0.313539 + 0.949575i \(0.601515\pi\)
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) 0.00162589 0.00547816i 0.000283031 0.000953625i
\(34\) 7.00516i 1.20138i
\(35\) −10.3432 2.08826i −1.74832 0.352980i
\(36\) 1.63661 2.51426i 0.272768 0.419044i
\(37\) −6.71219 6.71219i −1.10348 1.10348i −0.993988 0.109488i \(-0.965079\pi\)
−0.109488 0.993988i \(-0.534921\pi\)
\(38\) −0.707107 0.707107i −0.114708 0.114708i
\(39\) −2.47431 + 1.34173i −0.396206 + 0.214848i
\(40\) −2.19184 0.442526i −0.346561 0.0699695i
\(41\) 3.63777i 0.568125i −0.958806 0.284062i \(-0.908318\pi\)
0.958806 0.284062i \(-0.0916823\pi\)
\(42\) 7.83564 + 2.32558i 1.20907 + 0.358845i
\(43\) 1.52133 1.52133i 0.232001 0.232001i −0.581526 0.813528i \(-0.697544\pi\)
0.813528 + 0.581526i \(0.197544\pi\)
\(44\) 0.00329918 0.000497370
\(45\) 6.70792 0.0613876i 0.999958 0.00915113i
\(46\) −1.82298 −0.268783
\(47\) −2.07305 + 2.07305i −0.302386 + 0.302386i −0.841947 0.539561i \(-0.818590\pi\)
0.539561 + 0.841947i \(0.318590\pi\)
\(48\) 1.66046 + 0.492817i 0.239667 + 0.0711320i
\(49\) 15.2685i 2.18122i
\(50\) −1.88688 4.63030i −0.266845 0.654824i
\(51\) 10.6660 5.78381i 1.49354 0.809895i
\(52\) −1.14909 1.14909i −0.159350 0.159350i
\(53\) 5.97702 + 5.97702i 0.821007 + 0.821007i 0.986252 0.165245i \(-0.0528416\pi\)
−0.165245 + 0.986252i \(0.552842\pi\)
\(54\) −5.17947 0.415995i −0.704837 0.0566098i
\(55\) 0.00408093 + 0.00614564i 0.000550272 + 0.000828678i
\(56\) 4.71896i 0.630597i
\(57\) −0.492817 + 1.66046i −0.0652752 + 0.219933i
\(58\) 1.35622 1.35622i 0.178080 0.178080i
\(59\) 11.8886 1.54776 0.773882 0.633330i \(-0.218312\pi\)
0.773882 + 0.633330i \(0.218312\pi\)
\(60\) 1.13590 + 3.70266i 0.146645 + 0.478012i
\(61\) −1.95331 −0.250096 −0.125048 0.992151i \(-0.539908\pi\)
−0.125048 + 0.992151i \(0.539908\pi\)
\(62\) −2.46881 + 2.46881i −0.313539 + 0.313539i
\(63\) −2.92857 13.8506i −0.368965 1.74502i
\(64\) 1.00000i 0.125000i
\(65\) 0.719129 3.56186i 0.0891970 0.441795i
\(66\) −0.00272396 0.00502332i −0.000335297 0.000618328i
\(67\) −5.56623 5.56623i −0.680024 0.680024i 0.279982 0.960005i \(-0.409672\pi\)
−0.960005 + 0.279982i \(0.909672\pi\)
\(68\) 4.95340 + 4.95340i 0.600688 + 0.600688i
\(69\) 1.50514 + 2.77566i 0.181198 + 0.334150i
\(70\) −8.79037 + 5.83713i −1.05065 + 0.697670i
\(71\) 3.22989i 0.383318i −0.981462 0.191659i \(-0.938613\pi\)
0.981462 0.191659i \(-0.0613867\pi\)
\(72\) −0.620596 2.93511i −0.0731380 0.345906i
\(73\) 10.3760 10.3760i 1.21442 1.21442i 0.244868 0.969556i \(-0.421255\pi\)
0.969556 0.244868i \(-0.0787447\pi\)
\(74\) −9.49246 −1.10348
\(75\) −5.49219 + 6.69596i −0.634183 + 0.773183i
\(76\) −1.00000 −0.114708
\(77\) 0.0110087 0.0110087i 0.00125456 0.00125456i
\(78\) −0.800855 + 2.69834i −0.0906790 + 0.305527i
\(79\) 12.5069i 1.40714i −0.710625 0.703570i \(-0.751588\pi\)
0.710625 0.703570i \(-0.248412\pi\)
\(80\) −1.86278 + 1.23695i −0.208265 + 0.138296i
\(81\) 3.64303 + 8.22972i 0.404782 + 0.914413i
\(82\) −2.57229 2.57229i −0.284062 0.284062i
\(83\) 9.29959 + 9.29959i 1.02076 + 1.02076i 0.999780 + 0.0209831i \(0.00667960\pi\)
0.0209831 + 0.999780i \(0.493320\pi\)
\(84\) 7.18507 3.89620i 0.783955 0.425110i
\(85\) −3.09997 + 15.3542i −0.336238 + 1.66540i
\(86\) 2.15149i 0.232001i
\(87\) −3.18473 0.945213i −0.341439 0.101338i
\(88\) 0.00233287 0.00233287i 0.000248685 0.000248685i
\(89\) −6.59825 −0.699413 −0.349706 0.936859i \(-0.613719\pi\)
−0.349706 + 0.936859i \(0.613719\pi\)
\(90\) 4.69981 4.78663i 0.495403 0.504555i
\(91\) −7.66856 −0.803884
\(92\) −1.28904 + 1.28904i −0.134392 + 0.134392i
\(93\) 5.79738 + 1.72063i 0.601160 + 0.178421i
\(94\) 2.93174i 0.302386i
\(95\) −1.23695 1.86278i −0.126909 0.191117i
\(96\) 1.52260 0.825649i 0.155399 0.0842675i
\(97\) 7.72270 + 7.72270i 0.784121 + 0.784121i 0.980523 0.196402i \(-0.0629258\pi\)
−0.196402 + 0.980523i \(0.562926\pi\)
\(98\) 10.7965 + 10.7965i 1.09061 + 1.09061i
\(99\) −0.00539946 + 0.00829500i −0.000542666 + 0.000833679i
\(100\) −4.60834 1.93989i −0.460834 0.193989i
\(101\) 16.1869i 1.61066i −0.592826 0.805330i \(-0.701988\pi\)
0.592826 0.805330i \(-0.298012\pi\)
\(102\) 3.45226 11.6318i 0.341825 1.15172i
\(103\) 0.233618 0.233618i 0.0230191 0.0230191i −0.695504 0.718523i \(-0.744819\pi\)
0.718523 + 0.695504i \(0.244819\pi\)
\(104\) −1.62506 −0.159350
\(105\) 16.1454 + 8.56478i 1.57563 + 0.835837i
\(106\) 8.45278 0.821007
\(107\) 13.2302 13.2302i 1.27901 1.27901i 0.337791 0.941221i \(-0.390320\pi\)
0.941221 0.337791i \(-0.109680\pi\)
\(108\) −3.95659 + 3.36829i −0.380723 + 0.324114i
\(109\) 15.5455i 1.48899i −0.667628 0.744495i \(-0.732690\pi\)
0.667628 0.744495i \(-0.267310\pi\)
\(110\) 0.00723128 + 0.00145997i 0.000689475 + 0.000139203i
\(111\) 7.83744 + 14.4532i 0.743897 + 1.37184i
\(112\) 3.33681 + 3.33681i 0.315298 + 0.315298i
\(113\) 0.674324 + 0.674324i 0.0634351 + 0.0634351i 0.738113 0.674678i \(-0.235717\pi\)
−0.674678 + 0.738113i \(0.735717\pi\)
\(114\) 0.825649 + 1.52260i 0.0773291 + 0.142604i
\(115\) −3.99568 0.806715i −0.372599 0.0752265i
\(116\) 1.91798i 0.178080i
\(117\) 4.76971 1.00850i 0.440960 0.0932362i
\(118\) 8.40651 8.40651i 0.773882 0.773882i
\(119\) 33.0570 3.03033
\(120\) 3.42138 + 1.81497i 0.312328 + 0.165684i
\(121\) 11.0000 0.999999
\(122\) −1.38120 + 1.38120i −0.125048 + 0.125048i
\(123\) −1.79276 + 6.04038i −0.161647 + 0.544643i
\(124\) 3.49143i 0.313539i
\(125\) −2.08671 10.9839i −0.186641 0.982428i
\(126\) −11.8647 7.72308i −1.05699 0.688026i
\(127\) 0.324072 + 0.324072i 0.0287567 + 0.0287567i 0.721339 0.692582i \(-0.243527\pi\)
−0.692582 + 0.721339i \(0.743527\pi\)
\(128\) 0.707107 + 0.707107i 0.0625000 + 0.0625000i
\(129\) −3.27586 + 1.77638i −0.288423 + 0.156401i
\(130\) −2.01012 3.02712i −0.176299 0.265496i
\(131\) 15.9941i 1.39741i 0.715409 + 0.698706i \(0.246240\pi\)
−0.715409 + 0.698706i \(0.753760\pi\)
\(132\) −0.00547816 0.00162589i −0.000476812 0.000141516i
\(133\) −3.33681 + 3.33681i −0.289338 + 0.289338i
\(134\) −7.87184 −0.680024
\(135\) −11.1685 3.20385i −0.961231 0.275743i
\(136\) 7.00516 0.600688
\(137\) 4.73854 4.73854i 0.404841 0.404841i −0.475094 0.879935i \(-0.657586\pi\)
0.879935 + 0.475094i \(0.157586\pi\)
\(138\) 3.02698 + 0.898394i 0.257674 + 0.0764764i
\(139\) 21.0400i 1.78459i 0.451454 + 0.892294i \(0.350905\pi\)
−0.451454 + 0.892294i \(0.649095\pi\)
\(140\) −2.08826 + 10.3432i −0.176490 + 0.874160i
\(141\) 4.46386 2.42059i 0.375925 0.203850i
\(142\) −2.28388 2.28388i −0.191659 0.191659i
\(143\) 0.00379104 + 0.00379104i 0.000317023 + 0.000317023i
\(144\) −2.51426 1.63661i −0.209522 0.136384i
\(145\) 3.57277 2.37245i 0.296703 0.197021i
\(146\) 14.6739i 1.21442i
\(147\) 7.52460 25.3528i 0.620618 2.09107i
\(148\) −6.71219 + 6.71219i −0.551738 + 0.551738i
\(149\) 9.46498 0.775402 0.387701 0.921785i \(-0.373269\pi\)
0.387701 + 0.921785i \(0.373269\pi\)
\(150\) 0.851196 + 8.61832i 0.0694999 + 0.703683i
\(151\) −11.5421 −0.939279 −0.469639 0.882858i \(-0.655616\pi\)
−0.469639 + 0.882858i \(0.655616\pi\)
\(152\) −0.707107 + 0.707107i −0.0573539 + 0.0573539i
\(153\) −20.5609 + 4.34738i −1.66225 + 0.351465i
\(154\) 0.0155687i 0.00125456i
\(155\) −6.50376 + 4.31873i −0.522394 + 0.346889i
\(156\) 1.34173 + 2.47431i 0.107424 + 0.198103i
\(157\) −8.81673 8.81673i −0.703651 0.703651i 0.261541 0.965192i \(-0.415769\pi\)
−0.965192 + 0.261541i \(0.915769\pi\)
\(158\) −8.84374 8.84374i −0.703570 0.703570i
\(159\) −6.97903 12.8702i −0.553473 1.02067i
\(160\) −0.442526 + 2.19184i −0.0349847 + 0.173280i
\(161\) 8.60255i 0.677976i
\(162\) 8.39531 + 3.24328i 0.659597 + 0.254816i
\(163\) 1.80955 1.80955i 0.141735 0.141735i −0.632679 0.774414i \(-0.718045\pi\)
0.774414 + 0.632679i \(0.218045\pi\)
\(164\) −3.63777 −0.284062
\(165\) −0.00374755 0.0122158i −0.000291746 0.000950995i
\(166\) 13.1516 1.02076
\(167\) 10.1823 10.1823i 0.787928 0.787928i −0.193226 0.981154i \(-0.561895\pi\)
0.981154 + 0.193226i \(0.0618952\pi\)
\(168\) 2.32558 7.83564i 0.179423 0.604533i
\(169\) 10.3592i 0.796861i
\(170\) 8.66506 + 13.0491i 0.664580 + 1.00082i
\(171\) 1.63661 2.51426i 0.125154 0.192270i
\(172\) −1.52133 1.52133i −0.116001 0.116001i
\(173\) −4.12383 4.12383i −0.313529 0.313529i 0.532746 0.846275i \(-0.321160\pi\)
−0.846275 + 0.532746i \(0.821160\pi\)
\(174\) −2.92031 + 1.58358i −0.221388 + 0.120051i
\(175\) −21.8502 + 8.90409i −1.65172 + 0.673086i
\(176\) 0.00329918i 0.000248685i
\(177\) −19.7406 5.85890i −1.48379 0.440382i
\(178\) −4.66567 + 4.66567i −0.349706 + 0.349706i
\(179\) −1.74920 −0.130741 −0.0653706 0.997861i \(-0.520823\pi\)
−0.0653706 + 0.997861i \(0.520823\pi\)
\(180\) −0.0613876 6.70792i −0.00457556 0.499979i
\(181\) −16.8570 −1.25297 −0.626485 0.779434i \(-0.715507\pi\)
−0.626485 + 0.779434i \(0.715507\pi\)
\(182\) −5.42249 + 5.42249i −0.401942 + 0.401942i
\(183\) 3.24339 + 0.962624i 0.239759 + 0.0711592i
\(184\) 1.82298i 0.134392i
\(185\) −20.8060 4.20066i −1.52969 0.308839i
\(186\) 5.31604 2.88269i 0.389791 0.211369i
\(187\) −0.0163421 0.0163421i −0.00119506 0.00119506i
\(188\) 2.07305 + 2.07305i 0.151193 + 0.151193i
\(189\) −1.96306 + 24.4417i −0.142792 + 1.77787i
\(190\) −2.19184 0.442526i −0.159013 0.0321042i
\(191\) 2.59256i 0.187591i −0.995591 0.0937954i \(-0.970100\pi\)
0.995591 0.0937954i \(-0.0299000\pi\)
\(192\) 0.492817 1.66046i 0.0355660 0.119833i
\(193\) −1.18301 + 1.18301i −0.0851547 + 0.0851547i −0.748401 0.663246i \(-0.769178\pi\)
0.663246 + 0.748401i \(0.269178\pi\)
\(194\) 10.9215 0.784121
\(195\) −2.94943 + 5.55994i −0.211213 + 0.398155i
\(196\) 15.2685 1.09061
\(197\) −7.67888 + 7.67888i −0.547097 + 0.547097i −0.925600 0.378503i \(-0.876439\pi\)
0.378503 + 0.925600i \(0.376439\pi\)
\(198\) 0.00204746 + 0.00968345i 0.000145506 + 0.000688173i
\(199\) 8.22358i 0.582954i −0.956578 0.291477i \(-0.905853\pi\)
0.956578 0.291477i \(-0.0941467\pi\)
\(200\) −4.63030 + 1.88688i −0.327412 + 0.133422i
\(201\) 6.49938 + 11.9857i 0.458431 + 0.845403i
\(202\) −11.4459 11.4459i −0.805330 0.805330i
\(203\) −6.39993 6.39993i −0.449187 0.449187i
\(204\) −5.78381 10.6660i −0.404947 0.746772i
\(205\) −4.49975 6.77637i −0.314276 0.473282i
\(206\) 0.330386i 0.0230191i
\(207\) −1.13133 5.35064i −0.0786331 0.371895i
\(208\) −1.14909 + 1.14909i −0.0796749 + 0.0796749i
\(209\) 0.00329918 0.000228209
\(210\) 17.4727 5.36028i 1.20573 0.369894i
\(211\) 14.8721 1.02384 0.511920 0.859033i \(-0.328934\pi\)
0.511920 + 0.859033i \(0.328934\pi\)
\(212\) 5.97702 5.97702i 0.410503 0.410503i
\(213\) −1.59175 + 5.36311i −0.109065 + 0.367474i
\(214\) 18.7103i 1.27901i
\(215\) 0.952091 4.71573i 0.0649320 0.321610i
\(216\) −0.415995 + 5.17947i −0.0283049 + 0.352419i
\(217\) 11.6502 + 11.6502i 0.790868 + 0.790868i
\(218\) −10.9923 10.9923i −0.744495 0.744495i
\(219\) −22.3425 + 12.1155i −1.50977 + 0.818692i
\(220\) 0.00614564 0.00408093i 0.000414339 0.000275136i
\(221\) 11.3838i 0.765756i
\(222\) 15.7619 + 4.67805i 1.05787 + 0.313970i
\(223\) −4.56460 + 4.56460i −0.305668 + 0.305668i −0.843227 0.537558i \(-0.819347\pi\)
0.537558 + 0.843227i \(0.319347\pi\)
\(224\) 4.71896 0.315298
\(225\) 12.4194 8.41174i 0.827963 0.560783i
\(226\) 0.953638 0.0634351
\(227\) −8.94878 + 8.94878i −0.593952 + 0.593952i −0.938696 0.344745i \(-0.887965\pi\)
0.344745 + 0.938696i \(0.387965\pi\)
\(228\) 1.66046 + 0.492817i 0.109967 + 0.0326376i
\(229\) 15.6381i 1.03339i −0.856169 0.516696i \(-0.827162\pi\)
0.856169 0.516696i \(-0.172838\pi\)
\(230\) −3.39580 + 2.25494i −0.223913 + 0.148686i
\(231\) −0.0237048 + 0.0128543i −0.00155966 + 0.000845748i
\(232\) −1.35622 1.35622i −0.0890400 0.0890400i
\(233\) −11.5507 11.5507i −0.756711 0.756711i 0.219012 0.975722i \(-0.429717\pi\)
−0.975722 + 0.219012i \(0.929717\pi\)
\(234\) 2.65958 4.08582i 0.173862 0.267098i
\(235\) −1.29737 + 6.42592i −0.0846312 + 0.419181i
\(236\) 11.8886i 0.773882i
\(237\) −6.16363 + 20.7673i −0.400371 + 1.34898i
\(238\) 23.3749 23.3749i 1.51517 1.51517i
\(239\) −10.3774 −0.671261 −0.335631 0.941994i \(-0.608949\pi\)
−0.335631 + 0.941994i \(0.608949\pi\)
\(240\) 3.70266 1.13590i 0.239006 0.0733223i
\(241\) 14.4062 0.927988 0.463994 0.885838i \(-0.346416\pi\)
0.463994 + 0.885838i \(0.346416\pi\)
\(242\) 7.77817 7.77817i 0.500000 0.500000i
\(243\) −1.99337 15.4605i −0.127875 0.991790i
\(244\) 1.95331i 0.125048i
\(245\) 18.8865 + 28.4419i 1.20661 + 1.81709i
\(246\) 3.00352 + 5.53886i 0.191498 + 0.353145i
\(247\) −1.14909 1.14909i −0.0731147 0.0731147i
\(248\) 2.46881 + 2.46881i 0.156770 + 0.156770i
\(249\) −10.8586 20.0246i −0.688137 1.26901i
\(250\) −9.24230 6.29125i −0.584535 0.397894i
\(251\) 20.7089i 1.30713i 0.756869 + 0.653567i \(0.226728\pi\)
−0.756869 + 0.653567i \(0.773272\pi\)
\(252\) −13.8506 + 2.92857i −0.872509 + 0.184482i
\(253\) 0.00425277 0.00425277i 0.000267370 0.000267370i
\(254\) 0.458306 0.0287567
\(255\) 12.7142 23.9674i 0.796193 1.50089i
\(256\) 1.00000 0.0625000
\(257\) 7.24360 7.24360i 0.451843 0.451843i −0.444123 0.895966i \(-0.646485\pi\)
0.895966 + 0.444123i \(0.146485\pi\)
\(258\) −1.06029 + 3.57247i −0.0660109 + 0.222412i
\(259\) 44.7945i 2.78340i
\(260\) −3.56186 0.719129i −0.220897 0.0445985i
\(261\) 4.82231 + 3.13898i 0.298493 + 0.194298i
\(262\) 11.3095 + 11.3095i 0.698706 + 0.698706i
\(263\) 1.90123 + 1.90123i 0.117235 + 0.117235i 0.763290 0.646056i \(-0.223583\pi\)
−0.646056 + 0.763290i \(0.723583\pi\)
\(264\) −0.00502332 + 0.00272396i −0.000309164 + 0.000167648i
\(265\) 18.5272 + 3.74058i 1.13811 + 0.229782i
\(266\) 4.71896i 0.289338i
\(267\) 10.9561 + 3.25173i 0.670505 + 0.199003i
\(268\) −5.56623 + 5.56623i −0.340012 + 0.340012i
\(269\) −21.4029 −1.30496 −0.652480 0.757806i \(-0.726271\pi\)
−0.652480 + 0.757806i \(0.726271\pi\)
\(270\) −10.1628 + 5.63186i −0.618487 + 0.342744i
\(271\) 4.88606 0.296807 0.148404 0.988927i \(-0.452587\pi\)
0.148404 + 0.988927i \(0.452587\pi\)
\(272\) 4.95340 4.95340i 0.300344 0.300344i
\(273\) 12.7334 + 3.77920i 0.770657 + 0.228727i
\(274\) 6.70131i 0.404841i
\(275\) 0.0152037 + 0.00640005i 0.000916820 + 0.000385938i
\(276\) 2.77566 1.50514i 0.167075 0.0905988i
\(277\) 16.6272 + 16.6272i 0.999031 + 0.999031i 1.00000 0.000968978i \(-0.000308435\pi\)
−0.000968978 1.00000i \(0.500308\pi\)
\(278\) 14.8775 + 14.8775i 0.892294 + 0.892294i
\(279\) −8.77836 5.71409i −0.525547 0.342094i
\(280\) 5.83713 + 8.79037i 0.348835 + 0.525325i
\(281\) 7.94326i 0.473855i −0.971527 0.236928i \(-0.923860\pi\)
0.971527 0.236928i \(-0.0761404\pi\)
\(282\) 1.44481 4.86804i 0.0860373 0.289888i
\(283\) −8.91351 + 8.91351i −0.529853 + 0.529853i −0.920529 0.390675i \(-0.872242\pi\)
0.390675 + 0.920529i \(0.372242\pi\)
\(284\) −3.22989 −0.191659
\(285\) 1.13590 + 3.70266i 0.0672851 + 0.219327i
\(286\) 0.00536135 0.000317023
\(287\) −12.1385 + 12.1385i −0.716515 + 0.716515i
\(288\) −2.93511 + 0.620596i −0.172953 + 0.0365690i
\(289\) 32.0723i 1.88661i
\(290\) 0.848756 4.20391i 0.0498407 0.246862i
\(291\) −9.01736 16.6291i −0.528607 0.974816i
\(292\) −10.3760 10.3760i −0.607212 0.607212i
\(293\) 14.7740 + 14.7740i 0.863104 + 0.863104i 0.991697 0.128593i \(-0.0410462\pi\)
−0.128593 + 0.991697i \(0.541046\pi\)
\(294\) −12.6065 23.2478i −0.735223 1.35584i
\(295\) 22.1458 14.7056i 1.28938 0.856196i
\(296\) 9.49246i 0.551738i
\(297\) 0.0130535 0.0111126i 0.000757441 0.000644817i
\(298\) 6.69275 6.69275i 0.387701 0.387701i
\(299\) −2.96244 −0.171322
\(300\) 6.69596 + 5.49219i 0.386591 + 0.317092i
\(301\) −10.1528 −0.585197
\(302\) −8.16146 + 8.16146i −0.469639 + 0.469639i
\(303\) −7.97720 + 26.8778i −0.458278 + 1.54409i
\(304\) 1.00000i 0.0573539i
\(305\) −3.63858 + 2.41615i −0.208345 + 0.138348i
\(306\) −11.4647 + 17.6128i −0.655393 + 1.00686i
\(307\) −20.3918 20.3918i −1.16382 1.16382i −0.983632 0.180188i \(-0.942329\pi\)
−0.180188 0.983632i \(-0.557671\pi\)
\(308\) −0.0110087 0.0110087i −0.000627280 0.000627280i
\(309\) −0.503045 + 0.272783i −0.0286172 + 0.0155181i
\(310\) −1.54505 + 7.65265i −0.0877527 + 0.434642i
\(311\) 6.29224i 0.356800i 0.983958 + 0.178400i \(0.0570921\pi\)
−0.983958 + 0.178400i \(0.942908\pi\)
\(312\) 2.69834 + 0.800855i 0.152763 + 0.0453395i
\(313\) 5.94003 5.94003i 0.335750 0.335750i −0.519015 0.854765i \(-0.673701\pi\)
0.854765 + 0.519015i \(0.173701\pi\)
\(314\) −12.4687 −0.703651
\(315\) −22.5879 22.1782i −1.27268 1.24960i
\(316\) −12.5069 −0.703570
\(317\) −12.9036 + 12.9036i −0.724736 + 0.724736i −0.969566 0.244830i \(-0.921268\pi\)
0.244830 + 0.969566i \(0.421268\pi\)
\(318\) −14.0355 4.16568i −0.787073 0.233600i
\(319\) 0.00632776i 0.000354287i
\(320\) 1.23695 + 1.86278i 0.0691478 + 0.104133i
\(321\) −28.4883 + 15.4482i −1.59006 + 0.862233i
\(322\) 6.08292 + 6.08292i 0.338988 + 0.338988i
\(323\) 4.95340 + 4.95340i 0.275614 + 0.275614i
\(324\) 8.22972 3.64303i 0.457207 0.202391i
\(325\) −3.06628 7.52450i −0.170087 0.417384i
\(326\) 2.55908i 0.141735i
\(327\) −7.66110 + 25.8127i −0.423660 + 1.42745i
\(328\) −2.57229 + 2.57229i −0.142031 + 0.142031i
\(329\) 13.8348 0.762735
\(330\) −0.0112878 0.00598792i −0.000621371 0.000329624i
\(331\) −22.2824 −1.22475 −0.612376 0.790567i \(-0.709786\pi\)
−0.612376 + 0.790567i \(0.709786\pi\)
\(332\) 9.29959 9.29959i 0.510381 0.510381i
\(333\) −5.89099 27.8614i −0.322824 1.52680i
\(334\) 14.3999i 0.787928i
\(335\) −17.2538 3.48349i −0.942678 0.190324i
\(336\) −3.89620 7.18507i −0.212555 0.391978i
\(337\) 19.0330 + 19.0330i 1.03679 + 1.03679i 0.999297 + 0.0374972i \(0.0119385\pi\)
0.0374972 + 0.999297i \(0.488061\pi\)
\(338\) 7.32506 + 7.32506i 0.398431 + 0.398431i
\(339\) −0.787371 1.45201i −0.0427641 0.0788622i
\(340\) 15.3542 + 3.09997i 0.832699 + 0.168119i
\(341\) 0.0115188i 0.000623780i
\(342\) −0.620596 2.93511i −0.0335580 0.158712i
\(343\) 27.5905 27.5905i 1.48975 1.48975i
\(344\) −2.15149 −0.116001
\(345\) 6.23711 + 3.30866i 0.335795 + 0.178132i
\(346\) −5.83198 −0.313529
\(347\) −2.64462 + 2.64462i −0.141971 + 0.141971i −0.774520 0.632549i \(-0.782009\pi\)
0.632549 + 0.774520i \(0.282009\pi\)
\(348\) −0.945213 + 3.18473i −0.0506688 + 0.170720i
\(349\) 27.9124i 1.49412i 0.664758 + 0.747059i \(0.268535\pi\)
−0.664758 + 0.747059i \(0.731465\pi\)
\(350\) −9.15427 + 21.7466i −0.489316 + 1.16240i
\(351\) −8.41693 0.676015i −0.449263 0.0360830i
\(352\) −0.00233287 0.00233287i −0.000124342 0.000124342i
\(353\) 3.63692 + 3.63692i 0.193574 + 0.193574i 0.797238 0.603665i \(-0.206293\pi\)
−0.603665 + 0.797238i \(0.706293\pi\)
\(354\) −18.1016 + 9.81581i −0.962087 + 0.521705i
\(355\) −3.99523 6.01658i −0.212045 0.319327i
\(356\) 6.59825i 0.349706i
\(357\) −54.8899 16.2911i −2.90508 0.862215i
\(358\) −1.23687 + 1.23687i −0.0653706 + 0.0653706i
\(359\) 19.0031 1.00295 0.501473 0.865173i \(-0.332792\pi\)
0.501473 + 0.865173i \(0.332792\pi\)
\(360\) −4.78663 4.69981i −0.252277 0.247702i
\(361\) −1.00000 −0.0526316
\(362\) −11.9197 + 11.9197i −0.626485 + 0.626485i
\(363\) −18.2651 5.42098i −0.958667 0.284528i
\(364\) 7.66856i 0.401942i
\(365\) 6.49360 32.1630i 0.339891 1.68349i
\(366\) 2.97410 1.61275i 0.155459 0.0842997i
\(367\) 3.36608 + 3.36608i 0.175708 + 0.175708i 0.789482 0.613774i \(-0.210349\pi\)
−0.613774 + 0.789482i \(0.710349\pi\)
\(368\) 1.28904 + 1.28904i 0.0671958 + 0.0671958i
\(369\) 5.95360 9.14632i 0.309932 0.476138i
\(370\) −17.6824 + 11.7417i −0.919262 + 0.610424i
\(371\) 39.8883i 2.07090i
\(372\) 1.72063 5.79738i 0.0892107 0.300580i
\(373\) 4.67503 4.67503i 0.242064 0.242064i −0.575640 0.817704i \(-0.695247\pi\)
0.817704 + 0.575640i \(0.195247\pi\)
\(374\) −0.0231113 −0.00119506
\(375\) −1.94814 + 19.2667i −0.100602 + 0.994927i
\(376\) 2.93174 0.151193
\(377\) 2.20393 2.20393i 0.113508 0.113508i
\(378\) 15.8948 + 18.6710i 0.817540 + 0.960332i
\(379\) 6.60335i 0.339191i 0.985514 + 0.169596i \(0.0542461\pi\)
−0.985514 + 0.169596i \(0.945754\pi\)
\(380\) −1.86278 + 1.23695i −0.0955586 + 0.0634544i
\(381\) −0.378400 0.697816i −0.0193860 0.0357502i
\(382\) −1.83322 1.83322i −0.0937954 0.0937954i
\(383\) 14.4355 + 14.4355i 0.737619 + 0.737619i 0.972117 0.234498i \(-0.0753446\pi\)
−0.234498 + 0.972117i \(0.575345\pi\)
\(384\) −0.825649 1.52260i −0.0421337 0.0776997i
\(385\) 0.00688954 0.0341241i 0.000351124 0.00173912i
\(386\) 1.67302i 0.0851547i
\(387\) 6.31486 1.33521i 0.321002 0.0678724i
\(388\) 7.72270 7.72270i 0.392061 0.392061i
\(389\) −0.566176 −0.0287063 −0.0143531 0.999897i \(-0.504569\pi\)
−0.0143531 + 0.999897i \(0.504569\pi\)
\(390\) 1.84591 + 6.01703i 0.0934711 + 0.304684i
\(391\) 12.7703 0.645819
\(392\) 10.7965 10.7965i 0.545305 0.545305i
\(393\) 7.88217 26.5576i 0.397603 1.33965i
\(394\) 10.8596i 0.547097i
\(395\) −15.4705 23.2977i −0.778405 1.17223i
\(396\) 0.00829500 + 0.00539946i 0.000416840 + 0.000271333i
\(397\) 11.0271 + 11.0271i 0.553436 + 0.553436i 0.927431 0.373995i \(-0.122012\pi\)
−0.373995 + 0.927431i \(0.622012\pi\)
\(398\) −5.81495 5.81495i −0.291477 0.291477i
\(399\) 7.18507 3.89620i 0.359703 0.195054i
\(400\) −1.93989 + 4.60834i −0.0969947 + 0.230417i
\(401\) 33.0910i 1.65249i −0.563313 0.826243i \(-0.690474\pi\)
0.563313 0.826243i \(-0.309526\pi\)
\(402\) 13.0709 + 3.87938i 0.651917 + 0.193486i
\(403\) −4.01195 + 4.01195i −0.199850 + 0.199850i
\(404\) −16.1869 −0.805330
\(405\) 16.9659 + 10.8239i 0.843045 + 0.537843i
\(406\) −9.05086 −0.449187
\(407\) 0.0221447 0.0221447i 0.00109767 0.00109767i
\(408\) −11.6318 3.45226i −0.575860 0.170912i
\(409\) 26.2274i 1.29686i −0.761274 0.648430i \(-0.775426\pi\)
0.761274 0.648430i \(-0.224574\pi\)
\(410\) −7.97342 1.60981i −0.393779 0.0795028i
\(411\) −10.2034 + 5.53293i −0.503296 + 0.272919i
\(412\) −0.233618 0.233618i −0.0115095 0.0115095i
\(413\) −39.6699 39.6699i −1.95203 1.95203i
\(414\) −4.58344 2.98350i −0.225264 0.146631i
\(415\) 28.8262 + 5.81993i 1.41502 + 0.285689i
\(416\) 1.62506i 0.0796749i
\(417\) 10.3689 34.9361i 0.507765 1.71083i
\(418\) 0.00233287 0.00233287i 0.000114104 0.000114104i
\(419\) 16.7418 0.817888 0.408944 0.912559i \(-0.365897\pi\)
0.408944 + 0.912559i \(0.365897\pi\)
\(420\) 8.56478 16.1454i 0.417919 0.787813i
\(421\) 20.3487 0.991734 0.495867 0.868399i \(-0.334850\pi\)
0.495867 + 0.868399i \(0.334850\pi\)
\(422\) 10.5162 10.5162i 0.511920 0.511920i
\(423\) −8.60498 + 1.81943i −0.418389 + 0.0884636i
\(424\) 8.45278i 0.410503i
\(425\) 13.2179 + 32.4360i 0.641162 + 1.57338i
\(426\) 2.66676 + 4.91783i 0.129205 + 0.238269i
\(427\) 6.51781 + 6.51781i 0.315419 + 0.315419i
\(428\) −13.2302 13.2302i −0.639506 0.639506i
\(429\) −0.00442659 0.00816317i −0.000213718 0.000394122i
\(430\) −2.66129 4.00775i −0.128339 0.193271i
\(431\) 37.8255i 1.82199i −0.412418 0.910995i \(-0.635316\pi\)
0.412418 0.910995i \(-0.364684\pi\)
\(432\) 3.36829 + 3.95659i 0.162057 + 0.190362i
\(433\) 3.73358 3.73358i 0.179424 0.179424i −0.611681 0.791105i \(-0.709506\pi\)
0.791105 + 0.611681i \(0.209506\pi\)
\(434\) 16.4759 0.790868
\(435\) −7.10164 + 2.17864i −0.340497 + 0.104458i
\(436\) −15.5455 −0.744495
\(437\) −1.28904 + 1.28904i −0.0616631 + 0.0616631i
\(438\) −7.23157 + 24.3655i −0.345538 + 1.16423i
\(439\) 9.80030i 0.467743i 0.972268 + 0.233871i \(0.0751395\pi\)
−0.972268 + 0.233871i \(0.924861\pi\)
\(440\) 0.00145997 0.00723128i 6.96014e−5 0.000344738i
\(441\) −24.9886 + 38.3891i −1.18993 + 1.82805i
\(442\) 8.04954 + 8.04954i 0.382878 + 0.382878i
\(443\) −7.47230 7.47230i −0.355020 0.355020i 0.506954 0.861973i \(-0.330772\pi\)
−0.861973 + 0.506954i \(0.830772\pi\)
\(444\) 14.4532 7.83744i 0.685919 0.371949i
\(445\) −12.2911 + 8.16172i −0.582653 + 0.386903i
\(446\) 6.45532i 0.305668i
\(447\) −15.7162 4.66451i −0.743353 0.220624i
\(448\) 3.33681 3.33681i 0.157649 0.157649i
\(449\) −21.7175 −1.02491 −0.512456 0.858714i \(-0.671264\pi\)
−0.512456 + 0.858714i \(0.671264\pi\)
\(450\) 2.83388 14.7299i 0.133590 0.694373i
\(451\) 0.0120017 0.000565136
\(452\) 0.674324 0.674324i 0.0317175 0.0317175i
\(453\) 19.1651 + 5.68812i 0.900456 + 0.267251i
\(454\) 12.6555i 0.593952i
\(455\) −14.2848 + 9.48565i −0.669684 + 0.444694i
\(456\) 1.52260 0.825649i 0.0713022 0.0386646i
\(457\) 15.9122 + 15.9122i 0.744341 + 0.744341i 0.973410 0.229069i \(-0.0735683\pi\)
−0.229069 + 0.973410i \(0.573568\pi\)
\(458\) −11.0578 11.0578i −0.516696 0.516696i
\(459\) 36.2831 + 2.91411i 1.69355 + 0.136019i
\(460\) −0.806715 + 3.99568i −0.0376133 + 0.186299i
\(461\) 38.4951i 1.79289i 0.443151 + 0.896447i \(0.353860\pi\)
−0.443151 + 0.896447i \(0.646140\pi\)
\(462\) −0.00767251 + 0.0258512i −0.000356957 + 0.00120271i
\(463\) 10.3976 10.3976i 0.483219 0.483219i −0.422939 0.906158i \(-0.639002\pi\)
0.906158 + 0.422939i \(0.139002\pi\)
\(464\) −1.91798 −0.0890400
\(465\) 12.9276 3.96592i 0.599502 0.183915i
\(466\) −16.3351 −0.756711
\(467\) −15.9962 + 15.9962i −0.740216 + 0.740216i −0.972619 0.232404i \(-0.925341\pi\)
0.232404 + 0.972619i \(0.425341\pi\)
\(468\) −1.00850 4.76971i −0.0466181 0.220480i
\(469\) 37.1469i 1.71528i
\(470\) 3.62643 + 5.46119i 0.167275 + 0.251906i
\(471\) 10.2948 + 18.9849i 0.474359 + 0.874776i
\(472\) −8.40651 8.40651i −0.386941 0.386941i
\(473\) 0.00501915 + 0.00501915i 0.000230781 + 0.000230781i
\(474\) 10.3263 + 19.0430i 0.474305 + 0.874676i
\(475\) −4.60834 1.93989i −0.211445 0.0890084i
\(476\) 33.0570i 1.51517i
\(477\) 5.24577 + 24.8098i 0.240187 + 1.13596i
\(478\) −7.33796 + 7.33796i −0.335631 + 0.335631i
\(479\) 14.7942 0.675966 0.337983 0.941152i \(-0.390255\pi\)
0.337983 + 0.941152i \(0.390255\pi\)
\(480\) 1.81497 3.42138i 0.0828419 0.156164i
\(481\) −15.4258 −0.703355
\(482\) 10.1868 10.1868i 0.463994 0.463994i
\(483\) 4.23948 14.2842i 0.192903 0.649954i
\(484\) 11.0000i 0.500000i
\(485\) 23.9383 + 4.83307i 1.08698 + 0.219458i
\(486\) −12.3417 9.52268i −0.559833 0.431958i
\(487\) 10.6497 + 10.6497i 0.482584 + 0.482584i 0.905956 0.423372i \(-0.139154\pi\)
−0.423372 + 0.905956i \(0.639154\pi\)
\(488\) 1.38120 + 1.38120i 0.0625239 + 0.0625239i
\(489\) −3.89646 + 2.11291i −0.176204 + 0.0955489i
\(490\) 33.4662 + 6.75672i 1.51185 + 0.305238i
\(491\) 18.0717i 0.815564i −0.913079 0.407782i \(-0.866302\pi\)
0.913079 0.407782i \(-0.133698\pi\)
\(492\) 6.04038 + 1.79276i 0.272321 + 0.0808237i
\(493\) −9.50052 + 9.50052i −0.427882 + 0.427882i
\(494\) −1.62506 −0.0731147
\(495\) 0.000202529 0.0221306i 9.10299e−6 0.000994698i
\(496\) 3.49143 0.156770
\(497\) −10.7775 + 10.7775i −0.483438 + 0.483438i
\(498\) −21.8377 6.48134i −0.978572 0.290436i
\(499\) 19.9749i 0.894200i 0.894484 + 0.447100i \(0.147543\pi\)
−0.894484 + 0.447100i \(0.852457\pi\)
\(500\) −10.9839 + 2.08671i −0.491214 + 0.0933205i
\(501\) −21.9253 + 11.8893i −0.979548 + 0.531173i
\(502\) 14.6434 + 14.6434i 0.653567 + 0.653567i
\(503\) 12.9225 + 12.9225i 0.576187 + 0.576187i 0.933850 0.357664i \(-0.116427\pi\)
−0.357664 + 0.933850i \(0.616427\pi\)
\(504\) −7.72308 + 11.8647i −0.344013 + 0.528495i
\(505\) −20.0225 30.1527i −0.890989 1.34178i
\(506\) 0.00601433i 0.000267370i
\(507\) 5.10519 17.2010i 0.226729 0.763925i
\(508\) 0.324072 0.324072i 0.0143783 0.0143783i
\(509\) 19.0740 0.845441 0.422721 0.906260i \(-0.361075\pi\)
0.422721 + 0.906260i \(0.361075\pi\)
\(510\) −7.95719 25.9378i −0.352350 1.14854i
\(511\) −69.2457 −3.06325
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −3.95659 + 3.36829i −0.174688 + 0.148714i
\(514\) 10.2440i 0.451843i
\(515\) 0.146204 0.724153i 0.00644253 0.0319100i
\(516\) 1.77638 + 3.27586i 0.0782006 + 0.144212i
\(517\) −0.00683938 0.00683938i −0.000300796 0.000300796i
\(518\) 31.6745 + 31.6745i 1.39170 + 1.39170i
\(519\) 4.81517 + 8.87976i 0.211363 + 0.389778i
\(520\) −3.02712 + 2.01012i −0.132748 + 0.0881495i
\(521\) 20.0460i 0.878229i 0.898431 + 0.439115i \(0.144708\pi\)
−0.898431 + 0.439115i \(0.855292\pi\)
\(522\) 5.62948 1.19029i 0.246396 0.0520976i
\(523\) 7.71687 7.71687i 0.337435 0.337435i −0.517966 0.855401i \(-0.673311\pi\)
0.855401 + 0.517966i \(0.173311\pi\)
\(524\) 15.9941 0.698706
\(525\) 40.6695 4.01676i 1.77496 0.175306i
\(526\) 2.68875 0.117235
\(527\) 17.2944 17.2944i 0.753357 0.753357i
\(528\) −0.00162589 + 0.00547816i −7.07578e−5 + 0.000238406i
\(529\) 19.6768i 0.855511i
\(530\) 15.7457 10.4557i 0.683948 0.454167i
\(531\) 29.8911 + 19.4570i 1.29716 + 0.844360i
\(532\) 3.33681 + 3.33681i 0.144669 + 0.144669i
\(533\) −4.18012 4.18012i −0.181061 0.181061i
\(534\) 10.0465 5.44784i 0.434754 0.235751i
\(535\) 8.27981 41.0101i 0.357967 1.77302i
\(536\) 7.87184i 0.340012i
\(537\) 2.90448 + 0.862035i 0.125337 + 0.0371996i
\(538\) −15.1342 + 15.1342i −0.652480 + 0.652480i
\(539\) −0.0503736 −0.00216975
\(540\) −3.20385 + 11.1685i −0.137872 + 0.480616i
\(541\) 13.4099 0.576536 0.288268 0.957550i \(-0.406921\pi\)
0.288268 + 0.957550i \(0.406921\pi\)
\(542\) 3.45497 3.45497i 0.148404 0.148404i
\(543\) 27.9904 + 8.30740i 1.20118 + 0.356505i
\(544\) 7.00516i 0.300344i
\(545\) −19.2291 28.9579i −0.823683 1.24042i
\(546\) 11.6761 6.33154i 0.499692 0.270965i
\(547\) −6.28103 6.28103i −0.268557 0.268557i 0.559961 0.828519i \(-0.310816\pi\)
−0.828519 + 0.559961i \(0.810816\pi\)
\(548\) −4.73854 4.73854i −0.202420 0.202420i
\(549\) −4.91113 3.19680i −0.209602 0.136436i
\(550\) 0.0152762 0.00622515i 0.000651379 0.000265441i
\(551\) 1.91798i 0.0817087i
\(552\) 0.898394 3.02698i 0.0382382 0.128837i
\(553\) −41.7332 + 41.7332i −1.77468 + 1.77468i
\(554\) 23.5144 0.999031
\(555\) 32.4774 + 17.2286i 1.37859 + 0.731312i
\(556\) 21.0400 0.892294
\(557\) −0.190340 + 0.190340i −0.00806496 + 0.00806496i −0.711128 0.703063i \(-0.751815\pi\)
0.703063 + 0.711128i \(0.251815\pi\)
\(558\) −10.2477 + 2.16677i −0.433820 + 0.0917265i
\(559\) 3.49629i 0.147877i
\(560\) 10.3432 + 2.08826i 0.437080 + 0.0882451i
\(561\) 0.0190818 + 0.0351892i 0.000805635 + 0.00148569i
\(562\) −5.61673 5.61673i −0.236928 0.236928i
\(563\) 26.9104 + 26.9104i 1.13414 + 1.13414i 0.989482 + 0.144658i \(0.0462081\pi\)
0.144658 + 0.989482i \(0.453792\pi\)
\(564\) −2.42059 4.46386i −0.101925 0.187963i
\(565\) 2.09022 + 0.422010i 0.0879364 + 0.0177541i
\(566\) 12.6056i 0.529853i
\(567\) 15.3049 39.6171i 0.642744 1.66376i
\(568\) −2.28388 + 2.28388i −0.0958294 + 0.0958294i
\(569\) 8.17866 0.342867 0.171434 0.985196i \(-0.445160\pi\)
0.171434 + 0.985196i \(0.445160\pi\)
\(570\) 3.42138 + 1.81497i 0.143306 + 0.0760209i
\(571\) 45.6052 1.90852 0.954259 0.298982i \(-0.0966469\pi\)
0.954259 + 0.298982i \(0.0966469\pi\)
\(572\) 0.00379104 0.00379104i 0.000158512 0.000158512i
\(573\) −1.27766 + 4.30484i −0.0533749 + 0.179837i
\(574\) 17.1665i 0.716515i
\(575\) −8.44094 + 3.43974i −0.352011 + 0.143447i
\(576\) −1.63661 + 2.51426i −0.0681920 + 0.104761i
\(577\) −1.91976 1.91976i −0.0799205 0.0799205i 0.666016 0.745937i \(-0.267998\pi\)
−0.745937 + 0.666016i \(0.767998\pi\)
\(578\) −22.6785 22.6785i −0.943303 0.943303i
\(579\) 2.54734 1.38133i 0.105864 0.0574062i
\(580\) −2.37245 3.57277i −0.0985107 0.148351i
\(581\) 62.0619i 2.57476i
\(582\) −18.1348 5.38232i −0.751712 0.223104i
\(583\) −0.0197193 + 0.0197193i −0.000816688 + 0.000816688i
\(584\) −14.6739 −0.607212
\(585\) 7.63745 7.77853i 0.315770 0.321603i
\(586\) 20.8935 0.863104
\(587\) −26.0323 + 26.0323i −1.07447 + 1.07447i −0.0774740 + 0.996994i \(0.524685\pi\)
−0.996994 + 0.0774740i \(0.975315\pi\)
\(588\) −25.3528 7.52460i −1.04553 0.310309i
\(589\) 3.49143i 0.143862i
\(590\) 5.26101 26.0579i 0.216592 1.07279i
\(591\) 16.5348 8.96620i 0.680149 0.368820i
\(592\) 6.71219 + 6.71219i 0.275869 + 0.275869i
\(593\) 11.6400 + 11.6400i 0.477997 + 0.477997i 0.904490 0.426494i \(-0.140251\pi\)
−0.426494 + 0.904490i \(0.640251\pi\)
\(594\) 0.00137244 0.0170880i 5.63120e−5 0.000701129i
\(595\) 61.5780 40.8900i 2.52445 1.67633i
\(596\) 9.46498i 0.387701i
\(597\) −4.05272 + 13.6549i −0.165867 + 0.558860i
\(598\) −2.09476 + 2.09476i −0.0856611 + 0.0856611i
\(599\) −11.6334 −0.475328 −0.237664 0.971347i \(-0.576382\pi\)
−0.237664 + 0.971347i \(0.576382\pi\)
\(600\) 8.61832 0.851196i 0.351842 0.0347499i
\(601\) −9.12827 −0.372350 −0.186175 0.982517i \(-0.559609\pi\)
−0.186175 + 0.982517i \(0.559609\pi\)
\(602\) −7.17911 + 7.17911i −0.292599 + 0.292599i
\(603\) −4.88524 23.1047i −0.198942 0.940897i
\(604\) 11.5421i 0.469639i
\(605\) 20.4906 13.6065i 0.833059 0.553182i
\(606\) 13.3647 + 24.6462i 0.542905 + 1.00118i
\(607\) −26.6678 26.6678i −1.08241 1.08241i −0.996284 0.0861303i \(-0.972550\pi\)
−0.0861303 0.996284i \(-0.527450\pi\)
\(608\) 0.707107 + 0.707107i 0.0286770 + 0.0286770i
\(609\) 7.47284 + 13.7808i 0.302815 + 0.558427i
\(610\) −0.864390 + 4.28135i −0.0349981 + 0.173347i
\(611\) 4.76424i 0.192741i
\(612\) 4.34738 + 20.5609i 0.175732 + 0.831126i
\(613\) −11.8727 + 11.8727i −0.479532 + 0.479532i −0.904982 0.425450i \(-0.860116\pi\)
0.425450 + 0.904982i \(0.360116\pi\)
\(614\) −28.8383 −1.16382
\(615\) 4.13216 + 13.4695i 0.166625 + 0.543141i
\(616\) −0.0155687 −0.000627280
\(617\) 24.2856 24.2856i 0.977701 0.977701i −0.0220560 0.999757i \(-0.507021\pi\)
0.999757 + 0.0220560i \(0.00702122\pi\)
\(618\) −0.162820 + 0.548593i −0.00654957 + 0.0220676i
\(619\) 13.1124i 0.527030i −0.964655 0.263515i \(-0.915118\pi\)
0.964655 0.263515i \(-0.0848819\pi\)
\(620\) 4.31873 + 6.50376i 0.173444 + 0.261197i
\(621\) −0.758350 + 9.44206i −0.0304315 + 0.378897i
\(622\) 4.44929 + 4.44929i 0.178400 + 0.178400i
\(623\) 22.0171 + 22.0171i 0.882095 + 0.882095i
\(624\) 2.47431 1.34173i 0.0990515 0.0537120i
\(625\) −17.4736 17.8794i −0.698945 0.715175i
\(626\) 8.40047i 0.335750i
\(627\) −0.00547816 0.00162589i −0.000218777 6.49318e-5i
\(628\) −8.81673 + 8.81673i −0.351826 + 0.351826i
\(629\) 66.4962 2.65138
\(630\) −31.6544 + 0.289686i −1.26114 + 0.0115413i
\(631\) 38.4496 1.53066 0.765328 0.643641i \(-0.222577\pi\)
0.765328 + 0.643641i \(0.222577\pi\)
\(632\) −8.84374 + 8.84374i −0.351785 + 0.351785i
\(633\) −24.6946 7.32924i −0.981522 0.291311i
\(634\) 18.2484i 0.724736i
\(635\) 1.00454 + 0.202812i 0.0398638 + 0.00804836i
\(636\) −12.8702 + 6.97903i −0.510336 + 0.276737i
\(637\) 17.5449 + 17.5449i 0.695154 + 0.695154i
\(638\) 0.00447440 + 0.00447440i 0.000177143 + 0.000177143i
\(639\) 5.28606 8.12080i 0.209113 0.321254i
\(640\) 2.19184 + 0.442526i 0.0866402 + 0.0174924i
\(641\) 11.4967i 0.454092i −0.973884 0.227046i \(-0.927093\pi\)
0.973884 0.227046i \(-0.0729067\pi\)
\(642\) −9.22077 + 31.0678i −0.363915 + 1.22615i
\(643\) −35.5378 + 35.5378i −1.40147 + 1.40147i −0.606035 + 0.795438i \(0.707241\pi\)
−0.795438 + 0.606035i \(0.792759\pi\)
\(644\) 8.60255 0.338988
\(645\) −3.90490 + 7.36108i −0.153755 + 0.289842i
\(646\) 7.00516 0.275614
\(647\) −10.4682 + 10.4682i −0.411548 + 0.411548i −0.882278 0.470729i \(-0.843991\pi\)
0.470729 + 0.882278i \(0.343991\pi\)
\(648\) 3.24328 8.39531i 0.127408 0.329799i
\(649\) 0.0392226i 0.00153962i
\(650\) −7.48881 3.15243i −0.293735 0.123649i
\(651\) −13.6033 25.0861i −0.533155 0.983203i
\(652\) −1.80955 1.80955i −0.0708673 0.0708673i
\(653\) −6.60928 6.60928i −0.258641 0.258641i 0.565860 0.824501i \(-0.308544\pi\)
−0.824501 + 0.565860i \(0.808544\pi\)
\(654\) 12.8351 + 23.6696i 0.501894 + 0.925554i
\(655\) 19.7840 + 29.7935i 0.773023 + 1.16413i
\(656\) 3.63777i 0.142031i
\(657\) 43.0696 9.10660i 1.68031 0.355282i
\(658\) 9.78265 9.78265i 0.381368 0.381368i
\(659\) −17.5688 −0.684382 −0.342191 0.939630i \(-0.611169\pi\)
−0.342191 + 0.939630i \(0.611169\pi\)
\(660\) −0.0122158 + 0.00374755i −0.000475497 + 0.000145873i
\(661\) −49.5755 −1.92826 −0.964132 0.265422i \(-0.914489\pi\)
−0.964132 + 0.265422i \(0.914489\pi\)
\(662\) −15.7560 + 15.7560i −0.612376 + 0.612376i
\(663\) 5.61012 18.9023i 0.217879 0.734105i
\(664\) 13.1516i 0.510381i
\(665\) −2.08826 + 10.3432i −0.0809792 + 0.401092i
\(666\) −23.8665 15.5354i −0.924810 0.601986i
\(667\) −2.47235 2.47235i −0.0957299 0.0957299i
\(668\) −10.1823 10.1823i −0.393964 0.393964i
\(669\) 9.82886 5.32983i 0.380006 0.206063i
\(670\) −14.6635 + 9.73710i −0.566501 + 0.376177i
\(671\) 0.00644432i 0.000248780i
\(672\) −7.83564 2.32558i −0.302266 0.0897113i
\(673\) 1.10810 1.10810i 0.0427143 0.0427143i −0.685427 0.728141i \(-0.740384\pi\)
0.728141 + 0.685427i \(0.240384\pi\)
\(674\) 26.9167 1.03679
\(675\) −24.7675 + 7.84685i −0.953300 + 0.302025i
\(676\) 10.3592 0.398431
\(677\) −30.2637 + 30.2637i −1.16313 + 1.16313i −0.179342 + 0.983787i \(0.557397\pi\)
−0.983787 + 0.179342i \(0.942603\pi\)
\(678\) −1.58348 0.469969i −0.0608132 0.0180491i
\(679\) 51.5383i 1.97786i
\(680\) 13.0491 8.66506i 0.500409 0.332290i
\(681\) 19.2692 10.4490i 0.738398 0.400406i
\(682\) −0.00814505 0.00814505i −0.000311890 0.000311890i
\(683\) 22.9904 + 22.9904i 0.879703 + 0.879703i 0.993504 0.113800i \(-0.0363024\pi\)
−0.113800 + 0.993504i \(0.536302\pi\)
\(684\) −2.51426 1.63661i −0.0961352 0.0625772i
\(685\) 2.96550 14.6882i 0.113306 0.561207i
\(686\) 39.0189i 1.48975i
\(687\) −7.70671 + 25.9664i −0.294029 + 0.990680i
\(688\) −1.52133 + 1.52133i −0.0580003 + 0.0580003i
\(689\) 13.7362 0.523309
\(690\) 6.74987 2.07073i 0.256963 0.0788312i
\(691\) −5.79714 −0.220534 −0.110267 0.993902i \(-0.535171\pi\)
−0.110267 + 0.993902i \(0.535171\pi\)
\(692\) −4.12383 + 4.12383i −0.156765 + 0.156765i
\(693\) 0.0456957 0.00966186i 0.00173584 0.000367024i
\(694\) 3.74006i 0.141971i
\(695\) 26.0255 + 39.1929i 0.987203 + 1.48667i
\(696\) 1.58358 + 2.92031i 0.0600254 + 0.110694i
\(697\) 18.0193 + 18.0193i 0.682531 + 0.682531i
\(698\) 19.7371 + 19.7371i 0.747059 + 0.747059i
\(699\) 13.4871 + 24.8718i 0.510129 + 0.940739i
\(700\) 8.90409 + 21.8502i 0.336543 + 0.825859i
\(701\) 25.8432i 0.976085i −0.872820 0.488043i \(-0.837711\pi\)
0.872820 0.488043i \(-0.162289\pi\)
\(702\) −6.42968 + 5.47365i −0.242673 + 0.206590i
\(703\) −6.71219 + 6.71219i −0.253155 + 0.253155i
\(704\) −0.00329918 −0.000124342
\(705\) 5.32104 10.0306i 0.200402 0.377775i
\(706\) 5.14338 0.193574
\(707\) −54.0127 + 54.0127i −2.03136 + 2.03136i
\(708\) −5.85890 + 19.7406i −0.220191 + 0.741896i
\(709\) 32.2841i 1.21246i −0.795291 0.606228i \(-0.792682\pi\)
0.795291 0.606228i \(-0.207318\pi\)
\(710\) −7.07941 1.42931i −0.265686 0.0536411i
\(711\) 20.4690 31.4457i 0.767646 1.17931i
\(712\) 4.66567 + 4.66567i 0.174853 + 0.174853i
\(713\) 4.50059 + 4.50059i 0.168548 + 0.168548i
\(714\) −50.3326 + 27.2935i −1.88365 + 1.02143i
\(715\) 0.0117512 + 0.00237253i 0.000439471 + 8.87278e-5i
\(716\) 1.74920i 0.0653706i
\(717\) 17.2314 + 5.11418i 0.643517 + 0.190993i
\(718\) 13.4372 13.4372i 0.501473 0.501473i
\(719\) −46.4403 −1.73193 −0.865965 0.500105i \(-0.833295\pi\)
−0.865965 + 0.500105i \(0.833295\pi\)
\(720\) −6.70792 + 0.0613876i −0.249990 + 0.00228778i
\(721\) −1.55908 −0.0580630
\(722\) −0.707107 + 0.707107i −0.0263158 + 0.0263158i
\(723\) −23.9210 7.09964i −0.889632 0.264039i
\(724\) 16.8570i 0.626485i
\(725\) 3.72068 8.83871i 0.138182 0.328261i
\(726\) −16.7486 + 9.08213i −0.621597 + 0.337070i
\(727\) 24.1873 + 24.1873i 0.897056 + 0.897056i 0.995175 0.0981183i \(-0.0312824\pi\)
−0.0981183 + 0.995175i \(0.531282\pi\)
\(728\) 5.42249 + 5.42249i 0.200971 + 0.200971i
\(729\) −4.30927 + 26.6539i −0.159603 + 0.987181i
\(730\) −18.1510 27.3343i −0.671798 1.01169i
\(731\) 15.0715i 0.557441i
\(732\) 0.962624 3.24339i 0.0355796 0.119879i
\(733\) 22.2566 22.2566i 0.822065 0.822065i −0.164339 0.986404i \(-0.552549\pi\)
0.986404 + 0.164339i \(0.0525491\pi\)
\(734\) 4.76035 0.175708
\(735\) −17.3436 56.5343i −0.639728 2.08530i
\(736\) 1.82298 0.0671958
\(737\) 0.0183640 0.0183640i 0.000676447 0.000676447i
\(738\) −2.25759 10.6773i −0.0831030 0.393035i
\(739\) 32.3498i 1.19001i −0.803724 0.595003i \(-0.797151\pi\)
0.803724 0.595003i \(-0.202849\pi\)
\(740\) −4.20066 + 20.8060i −0.154419 + 0.764843i
\(741\) 1.34173 + 2.47431i 0.0492895 + 0.0908959i
\(742\) −28.2053 28.2053i −1.03545 1.03545i
\(743\) 12.0657 + 12.0657i 0.442649 + 0.442649i 0.892901 0.450253i \(-0.148666\pi\)
−0.450253 + 0.892901i \(0.648666\pi\)
\(744\) −2.88269 5.31604i −0.105685 0.194895i
\(745\) 17.6312 11.7077i 0.645956 0.428938i
\(746\) 6.61149i 0.242064i
\(747\) 8.16184 + 38.6014i 0.298626 + 1.41235i
\(748\) −0.0163421 + 0.0163421i −0.000597528 + 0.000597528i
\(749\) −88.2932 −3.22616
\(750\) 12.2461 + 15.0011i 0.447163 + 0.547764i
\(751\) 0.958420 0.0349732 0.0174866 0.999847i \(-0.494434\pi\)
0.0174866 + 0.999847i \(0.494434\pi\)
\(752\) 2.07305 2.07305i 0.0755965 0.0755965i
\(753\) 10.2057 34.3863i 0.371916 1.25311i
\(754\) 3.11682i 0.113508i
\(755\) −21.5003 + 14.2770i −0.782476 + 0.519592i
\(756\) 24.4417 + 1.96306i 0.888936 + 0.0713959i
\(757\) −11.0571 11.0571i −0.401877 0.401877i 0.477017 0.878894i \(-0.341718\pi\)
−0.878894 + 0.477017i \(0.841718\pi\)
\(758\) 4.66927 + 4.66927i 0.169596 + 0.169596i
\(759\) −0.00915740 + 0.00496572i −0.000332393 + 0.000180244i
\(760\) −0.442526 + 2.19184i −0.0160521 + 0.0795065i
\(761\) 45.8185i 1.66092i 0.557078 + 0.830460i \(0.311922\pi\)
−0.557078 + 0.830460i \(0.688078\pi\)
\(762\) −0.761000 0.225861i −0.0275681 0.00818209i
\(763\) −51.8724 + 51.8724i −1.87791 + 1.87791i
\(764\) −2.59256 −0.0937954
\(765\) −32.9229 + 33.5311i −1.19033 + 1.21232i
\(766\) 20.4149 0.737619
\(767\) 13.6610 13.6610i 0.493272 0.493272i
\(768\) −1.66046 0.492817i −0.0599167 0.0177830i
\(769\) 26.0419i 0.939095i −0.882907 0.469548i \(-0.844417\pi\)
0.882907 0.469548i \(-0.155583\pi\)
\(770\) −0.0192577 0.0290010i −0.000694000 0.00104512i
\(771\) −15.5975 + 8.45794i −0.561729 + 0.304605i
\(772\) 1.18301 + 1.18301i 0.0425774 + 0.0425774i
\(773\) −7.42336 7.42336i −0.267000 0.267000i 0.560890 0.827890i \(-0.310459\pi\)
−0.827890 + 0.560890i \(0.810459\pi\)
\(774\) 3.52115 5.40941i 0.126565 0.194437i
\(775\) −6.77299 + 16.0897i −0.243293 + 0.577958i
\(776\) 10.9215i 0.392061i
\(777\) 22.0755 74.3795i 0.791954