Properties

Label 546.2.u.a.425.12
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 425.12
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(0.696855 - 1.58568i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.42622 + 2.47029i) q^{5} +(0.189348 + 1.72167i) q^{6} +(2.54641 - 0.718201i) q^{7} +1.00000i q^{8} +(-2.02879 - 2.20998i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(0.696855 - 1.58568i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.42622 + 2.47029i) q^{5} +(0.189348 + 1.72167i) q^{6} +(2.54641 - 0.718201i) q^{7} +1.00000i q^{8} +(-2.02879 - 2.20998i) q^{9} -2.85245i q^{10} +2.06166i q^{11} +(-1.02481 - 1.39634i) q^{12} +(3.41477 + 1.15729i) q^{13} +(-1.84615 + 1.89518i) q^{14} +(2.92323 + 3.98298i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.04280 - 3.53824i) q^{17} +(2.86197 + 0.899509i) q^{18} +4.34067i q^{19} +(1.42622 + 2.47029i) q^{20} +(0.635636 - 4.53828i) q^{21} +(-1.03083 - 1.78545i) q^{22} +(1.19354 - 0.689091i) q^{23} +(1.58568 + 0.696855i) q^{24} +(-1.56823 - 2.71626i) q^{25} +(-3.53593 + 0.705144i) q^{26} +(-4.91811 + 1.67697i) q^{27} +(0.651223 - 2.56435i) q^{28} +(6.75519 + 3.90011i) q^{29} +(-4.52308 - 1.98774i) q^{30} +(2.44780 - 1.41324i) q^{31} +(0.866025 + 0.500000i) q^{32} +(3.26914 + 1.43668i) q^{33} +4.08561i q^{34} +(-1.85758 + 7.31469i) q^{35} +(-2.92829 + 0.651988i) q^{36} +(3.17853 + 5.50538i) q^{37} +(-2.17033 - 3.75913i) q^{38} +(4.21470 - 4.60829i) q^{39} +(-2.47029 - 1.42622i) q^{40} +(3.55429 - 6.15620i) q^{41} +(1.71866 + 4.24808i) q^{42} +(-5.02540 - 8.70425i) q^{43} +(1.78545 + 1.03083i) q^{44} +(8.35281 - 1.85976i) q^{45} +(-0.689091 + 1.19354i) q^{46} +(3.65196 - 6.32538i) q^{47} +(-1.72167 + 0.189348i) q^{48} +(5.96837 - 3.65767i) q^{49} +(2.71626 + 1.56823i) q^{50} +(-4.18699 - 5.70488i) q^{51} +(2.70963 - 2.37864i) q^{52} +(5.80600 - 3.35210i) q^{53} +(3.42072 - 3.91135i) q^{54} +(-5.09290 - 2.94039i) q^{55} +(0.718201 + 2.54641i) q^{56} +(6.88293 + 3.02482i) q^{57} -7.80022 q^{58} +(-5.42203 + 9.39123i) q^{59} +(4.91098 - 0.540104i) q^{60} +3.94023i q^{61} +(-1.41324 + 2.44780i) q^{62} +(-6.75333 - 4.17044i) q^{63} -1.00000 q^{64} +(-7.72908 + 6.78494i) q^{65} +(-3.54950 + 0.390370i) q^{66} +12.9299 q^{67} +(-2.04280 - 3.53824i) q^{68} +(-0.260955 - 2.37277i) q^{69} +(-2.04863 - 7.26350i) q^{70} +(-5.66543 + 3.27094i) q^{71} +(2.20998 - 2.02879i) q^{72} +(2.16906 - 1.25231i) q^{73} +(-5.50538 - 3.17853i) q^{74} +(-5.39996 + 0.593882i) q^{75} +(3.75913 + 2.17033i) q^{76} +(1.48069 + 5.24982i) q^{77} +(-1.34589 + 6.09824i) q^{78} +(-7.08737 + 12.2757i) q^{79} +2.85245 q^{80} +(-0.768056 + 8.96717i) q^{81} +7.10857i q^{82} -10.2916 q^{83} +(-3.61245 - 2.81962i) q^{84} +(5.82700 + 10.0927i) q^{85} +(8.70425 + 5.02540i) q^{86} +(10.8917 - 7.99379i) q^{87} -2.06166 q^{88} +(-3.01547 - 5.22295i) q^{89} +(-6.30387 + 5.78701i) q^{90} +(9.52657 + 0.494437i) q^{91} -1.37818i q^{92} +(-0.535186 - 4.86626i) q^{93} +7.30392i q^{94} +(-10.7227 - 6.19077i) q^{95} +(1.39634 - 1.02481i) q^{96} +(-15.8274 + 9.13794i) q^{97} +(-3.33993 + 6.15182i) q^{98} +(4.55623 - 4.18267i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 0.696855 1.58568i 0.402329 0.915495i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −1.42622 + 2.47029i −0.637827 + 1.10475i 0.348082 + 0.937464i \(0.386833\pi\)
−0.985909 + 0.167285i \(0.946500\pi\)
\(6\) 0.189348 + 1.72167i 0.0773009 + 0.702869i
\(7\) 2.54641 0.718201i 0.962451 0.271455i
\(8\) 1.00000i 0.353553i
\(9\) −2.02879 2.20998i −0.676262 0.736661i
\(10\) 2.85245i 0.902024i
\(11\) 2.06166i 0.621614i 0.950473 + 0.310807i \(0.100599\pi\)
−0.950473 + 0.310807i \(0.899401\pi\)
\(12\) −1.02481 1.39634i −0.295839 0.403088i
\(13\) 3.41477 + 1.15729i 0.947088 + 0.320975i
\(14\) −1.84615 + 1.89518i −0.493405 + 0.506509i
\(15\) 2.92323 + 3.98298i 0.754775 + 1.02840i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 2.04280 3.53824i 0.495453 0.858150i −0.504533 0.863392i \(-0.668335\pi\)
0.999986 + 0.00524255i \(0.00166876\pi\)
\(18\) 2.86197 + 0.899509i 0.674573 + 0.212016i
\(19\) 4.34067i 0.995817i 0.867229 + 0.497909i \(0.165899\pi\)
−0.867229 + 0.497909i \(0.834101\pi\)
\(20\) 1.42622 + 2.47029i 0.318913 + 0.552374i
\(21\) 0.635636 4.53828i 0.138707 0.990333i
\(22\) −1.03083 1.78545i −0.219774 0.380659i
\(23\) 1.19354 0.689091i 0.248870 0.143685i −0.370377 0.928882i \(-0.620771\pi\)
0.619247 + 0.785196i \(0.287438\pi\)
\(24\) 1.58568 + 0.696855i 0.323676 + 0.142245i
\(25\) −1.56823 2.71626i −0.313647 0.543252i
\(26\) −3.53593 + 0.705144i −0.693452 + 0.138290i
\(27\) −4.91811 + 1.67697i −0.946490 + 0.322734i
\(28\) 0.651223 2.56435i 0.123070 0.484617i
\(29\) 6.75519 + 3.90011i 1.25441 + 0.724233i 0.971982 0.235056i \(-0.0755275\pi\)
0.282426 + 0.959289i \(0.408861\pi\)
\(30\) −4.52308 1.98774i −0.825798 0.362911i
\(31\) 2.44780 1.41324i 0.439638 0.253825i −0.263806 0.964576i \(-0.584978\pi\)
0.703444 + 0.710751i \(0.251645\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 3.26914 + 1.43668i 0.569084 + 0.250094i
\(34\) 4.08561i 0.700676i
\(35\) −1.85758 + 7.31469i −0.313988 + 1.23641i
\(36\) −2.92829 + 0.651988i −0.488049 + 0.108665i
\(37\) 3.17853 + 5.50538i 0.522547 + 0.905078i 0.999656 + 0.0262341i \(0.00835152\pi\)
−0.477109 + 0.878844i \(0.658315\pi\)
\(38\) −2.17033 3.75913i −0.352075 0.609811i
\(39\) 4.21470 4.60829i 0.674892 0.737916i
\(40\) −2.47029 1.42622i −0.390588 0.225506i
\(41\) 3.55429 6.15620i 0.555086 0.961438i −0.442811 0.896615i \(-0.646019\pi\)
0.997897 0.0648225i \(-0.0206481\pi\)
\(42\) 1.71866 + 4.24808i 0.265195 + 0.655493i
\(43\) −5.02540 8.70425i −0.766367 1.32739i −0.939521 0.342491i \(-0.888729\pi\)
0.173155 0.984895i \(-0.444604\pi\)
\(44\) 1.78545 + 1.03083i 0.269167 + 0.155403i
\(45\) 8.35281 1.85976i 1.24516 0.277237i
\(46\) −0.689091 + 1.19354i −0.101601 + 0.175978i
\(47\) 3.65196 6.32538i 0.532693 0.922652i −0.466578 0.884480i \(-0.654513\pi\)
0.999271 0.0381719i \(-0.0121534\pi\)
\(48\) −1.72167 + 0.189348i −0.248502 + 0.0273300i
\(49\) 5.96837 3.65767i 0.852625 0.522524i
\(50\) 2.71626 + 1.56823i 0.384137 + 0.221782i
\(51\) −4.18699 5.70488i −0.586296 0.798844i
\(52\) 2.70963 2.37864i 0.375758 0.329857i
\(53\) 5.80600 3.35210i 0.797516 0.460446i −0.0450859 0.998983i \(-0.514356\pi\)
0.842602 + 0.538537i \(0.181023\pi\)
\(54\) 3.42072 3.91135i 0.465501 0.532268i
\(55\) −5.09290 2.94039i −0.686727 0.396482i
\(56\) 0.718201 + 2.54641i 0.0959737 + 0.340278i
\(57\) 6.88293 + 3.02482i 0.911666 + 0.400647i
\(58\) −7.80022 −1.02422
\(59\) −5.42203 + 9.39123i −0.705888 + 1.22263i 0.260482 + 0.965479i \(0.416119\pi\)
−0.966370 + 0.257156i \(0.917215\pi\)
\(60\) 4.91098 0.540104i 0.634004 0.0697272i
\(61\) 3.94023i 0.504495i 0.967663 + 0.252247i \(0.0811697\pi\)
−0.967663 + 0.252247i \(0.918830\pi\)
\(62\) −1.41324 + 2.44780i −0.179481 + 0.310871i
\(63\) −6.75333 4.17044i −0.850839 0.525426i
\(64\) −1.00000 −0.125000
\(65\) −7.72908 + 6.78494i −0.958675 + 0.841568i
\(66\) −3.54950 + 0.390370i −0.436913 + 0.0480513i
\(67\) 12.9299 1.57964 0.789820 0.613339i \(-0.210174\pi\)
0.789820 + 0.613339i \(0.210174\pi\)
\(68\) −2.04280 3.53824i −0.247726 0.429075i
\(69\) −0.260955 2.37277i −0.0314153 0.285648i
\(70\) −2.04863 7.26350i −0.244858 0.868154i
\(71\) −5.66543 + 3.27094i −0.672362 + 0.388189i −0.796971 0.604017i \(-0.793566\pi\)
0.124609 + 0.992206i \(0.460232\pi\)
\(72\) 2.20998 2.02879i 0.260449 0.239095i
\(73\) 2.16906 1.25231i 0.253869 0.146571i −0.367666 0.929958i \(-0.619843\pi\)
0.621535 + 0.783387i \(0.286510\pi\)
\(74\) −5.50538 3.17853i −0.639987 0.369497i
\(75\) −5.39996 + 0.593882i −0.623533 + 0.0685756i
\(76\) 3.75913 + 2.17033i 0.431202 + 0.248954i
\(77\) 1.48069 + 5.24982i 0.168740 + 0.598273i
\(78\) −1.34589 + 6.09824i −0.152392 + 0.690490i
\(79\) −7.08737 + 12.2757i −0.797391 + 1.38112i 0.123919 + 0.992292i \(0.460454\pi\)
−0.921310 + 0.388829i \(0.872880\pi\)
\(80\) 2.85245 0.318913
\(81\) −0.768056 + 8.96717i −0.0853395 + 0.996352i
\(82\) 7.10857i 0.785011i
\(83\) −10.2916 −1.12965 −0.564825 0.825211i \(-0.691056\pi\)
−0.564825 + 0.825211i \(0.691056\pi\)
\(84\) −3.61245 2.81962i −0.394150 0.307645i
\(85\) 5.82700 + 10.0927i 0.632027 + 1.09470i
\(86\) 8.70425 + 5.02540i 0.938603 + 0.541903i
\(87\) 10.8917 7.99379i 1.16772 0.857024i
\(88\) −2.06166 −0.219774
\(89\) −3.01547 5.22295i −0.319639 0.553632i 0.660773 0.750586i \(-0.270228\pi\)
−0.980413 + 0.196954i \(0.936895\pi\)
\(90\) −6.30387 + 5.78701i −0.664486 + 0.610004i
\(91\) 9.52657 + 0.494437i 0.998656 + 0.0518311i
\(92\) 1.37818i 0.143685i
\(93\) −0.535186 4.86626i −0.0554963 0.504607i
\(94\) 7.30392i 0.753342i
\(95\) −10.7227 6.19077i −1.10013 0.635159i
\(96\) 1.39634 1.02481i 0.142513 0.104595i
\(97\) −15.8274 + 9.13794i −1.60703 + 0.927817i −0.616995 + 0.786967i \(0.711650\pi\)
−0.990031 + 0.140850i \(0.955016\pi\)
\(98\) −3.33993 + 6.15182i −0.337384 + 0.621427i
\(99\) 4.55623 4.18267i 0.457919 0.420374i
\(100\) −3.13647 −0.313647
\(101\) −10.9459 −1.08915 −0.544577 0.838711i \(-0.683310\pi\)
−0.544577 + 0.838711i \(0.683310\pi\)
\(102\) 6.47848 + 2.84708i 0.641466 + 0.281903i
\(103\) −2.40226 1.38694i −0.236701 0.136660i 0.376958 0.926230i \(-0.376970\pi\)
−0.613660 + 0.789571i \(0.710303\pi\)
\(104\) −1.15729 + 3.41477i −0.113482 + 0.334846i
\(105\) 10.3043 + 8.04281i 1.00560 + 0.784898i
\(106\) −3.35210 + 5.80600i −0.325585 + 0.563929i
\(107\) −0.775767 + 0.447890i −0.0749963 + 0.0432991i −0.537029 0.843564i \(-0.680454\pi\)
0.462033 + 0.886863i \(0.347120\pi\)
\(108\) −1.00675 + 5.09769i −0.0968746 + 0.490526i
\(109\) −5.76038 9.97726i −0.551744 0.955648i −0.998149 0.0608174i \(-0.980629\pi\)
0.446405 0.894831i \(-0.352704\pi\)
\(110\) 5.88078 0.560710
\(111\) 10.9448 1.20369i 1.03883 0.114250i
\(112\) −1.89518 1.84615i −0.179078 0.174445i
\(113\) −2.96337 + 1.71090i −0.278771 + 0.160948i −0.632867 0.774261i \(-0.718122\pi\)
0.354096 + 0.935209i \(0.384789\pi\)
\(114\) −7.47320 + 0.821895i −0.699929 + 0.0769775i
\(115\) 3.93119i 0.366586i
\(116\) 6.75519 3.90011i 0.627204 0.362116i
\(117\) −4.37025 9.89449i −0.404030 0.914746i
\(118\) 10.8441i 0.998277i
\(119\) 2.66064 10.4769i 0.243901 0.960420i
\(120\) −3.98298 + 2.92323i −0.363594 + 0.266853i
\(121\) 6.74956 0.613596
\(122\) −1.97012 3.41234i −0.178366 0.308939i
\(123\) −7.28497 9.92596i −0.656864 0.894993i
\(124\) 2.82648i 0.253825i
\(125\) −5.31564 −0.475445
\(126\) 7.93377 + 0.235043i 0.706797 + 0.0209393i
\(127\) 5.80763 10.0591i 0.515343 0.892601i −0.484498 0.874792i \(-0.660998\pi\)
0.999841 0.0178086i \(-0.00566895\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) −17.3042 + 1.90310i −1.52355 + 0.167558i
\(130\) 3.30111 9.74047i 0.289527 0.854296i
\(131\) −0.606766 + 1.05095i −0.0530134 + 0.0918218i −0.891314 0.453386i \(-0.850216\pi\)
0.838301 + 0.545208i \(0.183549\pi\)
\(132\) 2.87877 2.11282i 0.250565 0.183897i
\(133\) 3.11747 + 11.0531i 0.270319 + 0.958426i
\(134\) −11.1976 + 6.46495i −0.967328 + 0.558487i
\(135\) 2.87170 14.5409i 0.247157 1.25148i
\(136\) 3.53824 + 2.04280i 0.303402 + 0.175169i
\(137\) 8.19933 + 4.73388i 0.700516 + 0.404443i 0.807540 0.589813i \(-0.200799\pi\)
−0.107024 + 0.994256i \(0.534132\pi\)
\(138\) 1.41238 + 1.92440i 0.120230 + 0.163816i
\(139\) −5.66528 + 3.27085i −0.480522 + 0.277430i −0.720634 0.693316i \(-0.756149\pi\)
0.240112 + 0.970745i \(0.422816\pi\)
\(140\) 5.40592 + 5.26605i 0.456883 + 0.445063i
\(141\) −7.48517 10.1987i −0.630365 0.858888i
\(142\) 3.27094 5.66543i 0.274491 0.475432i
\(143\) −2.38594 + 7.04010i −0.199522 + 0.588723i
\(144\) −0.899509 + 2.86197i −0.0749591 + 0.238498i
\(145\) −19.2688 + 11.1249i −1.60019 + 0.923870i
\(146\) −1.25231 + 2.16906i −0.103642 + 0.179513i
\(147\) −1.64081 12.0128i −0.135332 0.990800i
\(148\) 6.35706 0.522547
\(149\) 19.7517i 1.61812i −0.587725 0.809061i \(-0.699976\pi\)
0.587725 0.809061i \(-0.300024\pi\)
\(150\) 4.37956 3.21430i 0.357590 0.262446i
\(151\) −11.0526 19.1436i −0.899444 1.55788i −0.828206 0.560423i \(-0.810639\pi\)
−0.0712375 0.997459i \(-0.522695\pi\)
\(152\) −4.34067 −0.352075
\(153\) −11.9639 + 2.66377i −0.967222 + 0.215353i
\(154\) −3.90722 3.80614i −0.314853 0.306707i
\(155\) 8.06238i 0.647586i
\(156\) −1.88354 5.95418i −0.150804 0.476716i
\(157\) −13.7392 + 7.93232i −1.09651 + 0.633068i −0.935301 0.353853i \(-0.884871\pi\)
−0.161205 + 0.986921i \(0.551538\pi\)
\(158\) 14.1747i 1.12768i
\(159\) −1.26942 11.5424i −0.100672 0.915373i
\(160\) −2.47029 + 1.42622i −0.195294 + 0.112753i
\(161\) 2.54433 2.61191i 0.200522 0.205847i
\(162\) −3.81843 8.14982i −0.300004 0.640311i
\(163\) 3.73475 0.292528 0.146264 0.989246i \(-0.453275\pi\)
0.146264 + 0.989246i \(0.453275\pi\)
\(164\) −3.55429 6.15620i −0.277543 0.480719i
\(165\) −8.21154 + 6.02671i −0.639268 + 0.469179i
\(166\) 8.91279 5.14580i 0.691766 0.399392i
\(167\) −7.93312 + 13.7406i −0.613883 + 1.06328i 0.376696 + 0.926337i \(0.377060\pi\)
−0.990579 + 0.136940i \(0.956273\pi\)
\(168\) 4.53828 + 0.635636i 0.350136 + 0.0490404i
\(169\) 10.3214 + 7.90377i 0.793951 + 0.607982i
\(170\) −10.0927 5.82700i −0.774071 0.446910i
\(171\) 9.59280 8.80629i 0.733580 0.673433i
\(172\) −10.0508 −0.766367
\(173\) −5.58526 −0.424640 −0.212320 0.977200i \(-0.568102\pi\)
−0.212320 + 0.977200i \(0.568102\pi\)
\(174\) −5.43563 + 12.3687i −0.412074 + 0.937668i
\(175\) −5.94418 5.79039i −0.449338 0.437713i
\(176\) 1.78545 1.03083i 0.134583 0.0777017i
\(177\) 11.1132 + 15.1420i 0.835316 + 1.13814i
\(178\) 5.22295 + 3.01547i 0.391477 + 0.226019i
\(179\) 0.264943i 0.0198028i −0.999951 0.00990139i \(-0.996848\pi\)
0.999951 0.00990139i \(-0.00315176\pi\)
\(180\) 2.56580 8.16363i 0.191244 0.608481i
\(181\) 2.90040i 0.215585i −0.994173 0.107792i \(-0.965622\pi\)
0.994173 0.107792i \(-0.0343782\pi\)
\(182\) −8.49747 + 4.33509i −0.629874 + 0.321338i
\(183\) 6.24796 + 2.74577i 0.461863 + 0.202973i
\(184\) 0.689091 + 1.19354i 0.0508005 + 0.0879890i
\(185\) −18.1332 −1.33318
\(186\) 2.89661 + 3.94671i 0.212390 + 0.289387i
\(187\) 7.29465 + 4.21157i 0.533438 + 0.307980i
\(188\) −3.65196 6.32538i −0.266347 0.461326i
\(189\) −11.3191 + 7.80245i −0.823343 + 0.567545i
\(190\) 12.3815 0.898251
\(191\) 0.588168i 0.0425584i 0.999774 + 0.0212792i \(0.00677388\pi\)
−0.999774 + 0.0212792i \(0.993226\pi\)
\(192\) −0.696855 + 1.58568i −0.0502912 + 0.114437i
\(193\) −18.6836 −1.34487 −0.672437 0.740154i \(-0.734753\pi\)
−0.672437 + 0.740154i \(0.734753\pi\)
\(194\) 9.13794 15.8274i 0.656066 1.13634i
\(195\) 5.37271 + 16.9840i 0.384748 + 1.21625i
\(196\) −0.183445 6.99760i −0.0131032 0.499828i
\(197\) 20.3079 + 11.7248i 1.44688 + 0.835357i 0.998294 0.0583826i \(-0.0185943\pi\)
0.448586 + 0.893740i \(0.351928\pi\)
\(198\) −1.85448 + 5.90041i −0.131792 + 0.419324i
\(199\) −16.2378 9.37488i −1.15106 0.664567i −0.201918 0.979402i \(-0.564717\pi\)
−0.949146 + 0.314835i \(0.898051\pi\)
\(200\) 2.71626 1.56823i 0.192068 0.110891i
\(201\) 9.01027 20.5027i 0.635536 1.44615i
\(202\) 9.47939 5.47293i 0.666968 0.385074i
\(203\) 20.0025 + 5.07968i 1.40390 + 0.356524i
\(204\) −7.03407 + 0.773601i −0.492484 + 0.0541629i
\(205\) 10.1384 + 17.5603i 0.708098 + 1.22646i
\(206\) 2.77389 0.193266
\(207\) −3.94432 1.23969i −0.274149 0.0861642i
\(208\) −0.705144 3.53593i −0.0488929 0.245172i
\(209\) −8.94898 −0.619014
\(210\) −12.9452 1.81312i −0.893304 0.125117i
\(211\) 2.78247 4.81937i 0.191553 0.331779i −0.754212 0.656631i \(-0.771981\pi\)
0.945765 + 0.324852i \(0.105314\pi\)
\(212\) 6.70420i 0.460446i
\(213\) 1.23869 + 11.2629i 0.0848735 + 0.771724i
\(214\) 0.447890 0.775767i 0.0306171 0.0530304i
\(215\) 28.6694 1.95524
\(216\) −1.67697 4.91811i −0.114104 0.334635i
\(217\) 5.21810 5.35669i 0.354228 0.363636i
\(218\) 9.97726 + 5.76038i 0.675746 + 0.390142i
\(219\) −0.474243 4.31212i −0.0320463 0.291386i
\(220\) −5.09290 + 2.94039i −0.343364 + 0.198241i
\(221\) 11.0705 9.71818i 0.744682 0.653715i
\(222\) −8.87660 + 6.51481i −0.595758 + 0.437246i
\(223\) 1.62683 + 0.939253i 0.108941 + 0.0628971i 0.553480 0.832862i \(-0.313299\pi\)
−0.444540 + 0.895759i \(0.646633\pi\)
\(224\) 2.56435 + 0.651223i 0.171338 + 0.0435116i
\(225\) −2.82128 + 8.97648i −0.188085 + 0.598432i
\(226\) 1.71090 2.96337i 0.113808 0.197121i
\(227\) −5.38152 + 9.32107i −0.357184 + 0.618661i −0.987489 0.157687i \(-0.949596\pi\)
0.630305 + 0.776347i \(0.282930\pi\)
\(228\) 6.06103 4.44838i 0.401402 0.294601i
\(229\) 4.85743 + 2.80444i 0.320988 + 0.185323i 0.651833 0.758363i \(-0.274000\pi\)
−0.330845 + 0.943685i \(0.607334\pi\)
\(230\) −1.96560 3.40451i −0.129608 0.224487i
\(231\) 9.35638 + 1.31047i 0.615605 + 0.0862223i
\(232\) −3.90011 + 6.75519i −0.256055 + 0.443500i
\(233\) 12.8530 + 7.42068i 0.842027 + 0.486145i 0.857953 0.513729i \(-0.171736\pi\)
−0.0159256 + 0.999873i \(0.505069\pi\)
\(234\) 8.73199 + 6.38375i 0.570828 + 0.417319i
\(235\) 10.4170 + 18.0428i 0.679532 + 1.17698i
\(236\) 5.42203 + 9.39123i 0.352944 + 0.611317i
\(237\) 14.5265 + 19.7927i 0.943596 + 1.28567i
\(238\) 2.93429 + 10.4036i 0.190202 + 0.674367i
\(239\) 12.7315i 0.823530i −0.911290 0.411765i \(-0.864912\pi\)
0.911290 0.411765i \(-0.135088\pi\)
\(240\) 1.98774 4.52308i 0.128308 0.291964i
\(241\) −2.61871 1.51191i −0.168686 0.0973908i 0.413280 0.910604i \(-0.364383\pi\)
−0.581966 + 0.813213i \(0.697716\pi\)
\(242\) −5.84529 + 3.37478i −0.375749 + 0.216939i
\(243\) 13.6839 + 7.46671i 0.877821 + 0.478990i
\(244\) 3.41234 + 1.97012i 0.218453 + 0.126124i
\(245\) 0.523267 + 19.9603i 0.0334303 + 1.27522i
\(246\) 11.2719 + 4.95365i 0.718673 + 0.315833i
\(247\) −5.02341 + 14.8224i −0.319632 + 0.943127i
\(248\) 1.41324 + 2.44780i 0.0897407 + 0.155435i
\(249\) −7.17175 + 16.3192i −0.454491 + 1.03419i
\(250\) 4.60348 2.65782i 0.291149 0.168095i
\(251\) −11.9432 20.6862i −0.753849 1.30570i −0.945945 0.324328i \(-0.894862\pi\)
0.192096 0.981376i \(-0.438472\pi\)
\(252\) −6.98837 + 3.76333i −0.440226 + 0.237068i
\(253\) 1.42067 + 2.46067i 0.0893168 + 0.154701i
\(254\) 11.6153i 0.728806i
\(255\) 20.0643 2.20666i 1.25648 0.138186i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.54072 + 9.59680i 0.345620 + 0.598632i 0.985466 0.169871i \(-0.0543352\pi\)
−0.639846 + 0.768503i \(0.721002\pi\)
\(258\) 14.0343 10.3002i 0.873737 0.641263i
\(259\) 12.0478 + 11.7361i 0.748614 + 0.729246i
\(260\) 2.01139 + 10.0860i 0.124741 + 0.625510i
\(261\) −5.08565 22.8414i −0.314794 1.41384i
\(262\) 1.21353i 0.0749722i
\(263\) 4.09428i 0.252464i −0.992001 0.126232i \(-0.959712\pi\)
0.992001 0.126232i \(-0.0402884\pi\)
\(264\) −1.43668 + 3.26914i −0.0884214 + 0.201202i
\(265\) 19.1234i 1.17474i
\(266\) −8.22636 8.01353i −0.504391 0.491341i
\(267\) −10.3833 + 1.14195i −0.635448 + 0.0698859i
\(268\) 6.46495 11.1976i 0.394910 0.684004i
\(269\) 9.08811 15.7411i 0.554112 0.959749i −0.443860 0.896096i \(-0.646391\pi\)
0.997972 0.0636535i \(-0.0202752\pi\)
\(270\) 4.78348 + 14.0286i 0.291114 + 0.853756i
\(271\) 12.4365 7.18024i 0.755466 0.436169i −0.0721994 0.997390i \(-0.523002\pi\)
0.827666 + 0.561222i \(0.189668\pi\)
\(272\) −4.08561 −0.247726
\(273\) 7.42266 14.7616i 0.449240 0.893411i
\(274\) −9.46777 −0.571969
\(275\) 5.60000 3.23316i 0.337693 0.194967i
\(276\) −2.18536 0.960393i −0.131543 0.0578089i
\(277\) −2.91981 + 5.05725i −0.175434 + 0.303861i −0.940311 0.340315i \(-0.889466\pi\)
0.764877 + 0.644176i \(0.222800\pi\)
\(278\) 3.27085 5.66528i 0.196172 0.339781i
\(279\) −8.08929 2.54244i −0.484293 0.152212i
\(280\) −7.31469 1.85758i −0.437136 0.111012i
\(281\) 14.5423i 0.867519i 0.901029 + 0.433760i \(0.142813\pi\)
−0.901029 + 0.433760i \(0.857187\pi\)
\(282\) 11.5817 + 5.08978i 0.689681 + 0.303092i
\(283\) 5.11830i 0.304251i −0.988361 0.152126i \(-0.951388\pi\)
0.988361 0.152126i \(-0.0486118\pi\)
\(284\) 6.54187i 0.388189i
\(285\) −17.2888 + 12.6888i −1.02410 + 0.751618i
\(286\) −1.45377 7.28988i −0.0859630 0.431059i
\(287\) 4.62926 18.2289i 0.273257 1.07602i
\(288\) −0.651988 2.92829i −0.0384188 0.172551i
\(289\) 0.153897 + 0.266557i 0.00905275 + 0.0156798i
\(290\) 11.1249 19.2688i 0.653275 1.13151i
\(291\) 3.46049 + 31.4650i 0.202858 + 1.84451i
\(292\) 2.50461i 0.146571i
\(293\) −15.1987 26.3249i −0.887917 1.53792i −0.842334 0.538957i \(-0.818819\pi\)
−0.0455833 0.998961i \(-0.514515\pi\)
\(294\) 7.42739 + 9.58300i 0.433174 + 0.558892i
\(295\) −15.4661 26.7880i −0.900469 1.55966i
\(296\) −5.50538 + 3.17853i −0.319994 + 0.184748i
\(297\) −3.45735 10.1395i −0.200616 0.588351i
\(298\) 9.87585 + 17.1055i 0.572093 + 0.990893i
\(299\) 4.87315 0.971816i 0.281821 0.0562016i
\(300\) −2.18566 + 4.97344i −0.126189 + 0.287142i
\(301\) −19.0481 18.5553i −1.09792 1.06951i
\(302\) 19.1436 + 11.0526i 1.10159 + 0.636003i
\(303\) −7.62768 + 17.3567i −0.438199 + 0.997115i
\(304\) 3.75913 2.17033i 0.215601 0.124477i
\(305\) −9.73353 5.61966i −0.557340 0.321781i
\(306\) 9.02913 8.28883i 0.516161 0.473841i
\(307\) 1.17043i 0.0667999i −0.999442 0.0333999i \(-0.989366\pi\)
0.999442 0.0333999i \(-0.0106335\pi\)
\(308\) 5.28682 + 1.34260i 0.301245 + 0.0765017i
\(309\) −3.87328 + 2.84272i −0.220343 + 0.161717i
\(310\) −4.03119 6.98222i −0.228956 0.396564i
\(311\) 1.48661 + 2.57489i 0.0842980 + 0.146008i 0.905092 0.425216i \(-0.139802\pi\)
−0.820794 + 0.571225i \(0.806469\pi\)
\(312\) 4.60829 + 4.21470i 0.260893 + 0.238610i
\(313\) −10.5964 6.11782i −0.598942 0.345799i 0.169683 0.985499i \(-0.445726\pi\)
−0.768625 + 0.639699i \(0.779059\pi\)
\(314\) 7.93232 13.7392i 0.447647 0.775346i
\(315\) 19.9340 10.7347i 1.12315 0.604833i
\(316\) 7.08737 + 12.2757i 0.398696 + 0.690561i
\(317\) 9.60122 + 5.54327i 0.539258 + 0.311341i 0.744778 0.667312i \(-0.232555\pi\)
−0.205520 + 0.978653i \(0.565889\pi\)
\(318\) 6.87056 + 9.36131i 0.385282 + 0.524956i
\(319\) −8.04070 + 13.9269i −0.450193 + 0.779757i
\(320\) 1.42622 2.47029i 0.0797284 0.138094i
\(321\) 0.169614 + 1.54224i 0.00946691 + 0.0860792i
\(322\) −0.897503 + 3.53415i −0.0500159 + 0.196950i
\(323\) 15.3583 + 8.86714i 0.854560 + 0.493381i
\(324\) 7.38177 + 5.14874i 0.410098 + 0.286041i
\(325\) −2.21166 11.0903i −0.122681 0.615180i
\(326\) −3.23439 + 1.86738i −0.179136 + 0.103424i
\(327\) −19.8349 + 2.18143i −1.09687 + 0.120633i
\(328\) 6.15620 + 3.55429i 0.339920 + 0.196253i
\(329\) 4.75648 18.7298i 0.262233 1.03261i
\(330\) 4.09805 9.32506i 0.225590 0.513327i
\(331\) −26.9933 −1.48369 −0.741844 0.670573i \(-0.766048\pi\)
−0.741844 + 0.670573i \(0.766048\pi\)
\(332\) −5.14580 + 8.91279i −0.282412 + 0.489153i
\(333\) 5.71823 18.1937i 0.313357 0.997010i
\(334\) 15.8662i 0.868162i
\(335\) −18.4410 + 31.9407i −1.00754 + 1.74511i
\(336\) −4.24808 + 1.71866i −0.231752 + 0.0937607i
\(337\) 4.24529 0.231256 0.115628 0.993293i \(-0.463112\pi\)
0.115628 + 0.993293i \(0.463112\pi\)
\(338\) −12.8904 1.68419i −0.701148 0.0916078i
\(339\) 0.647911 + 5.89122i 0.0351897 + 0.319967i
\(340\) 11.6540 0.632027
\(341\) 2.91362 + 5.04653i 0.157781 + 0.273285i
\(342\) −3.90447 + 12.4229i −0.211130 + 0.671752i
\(343\) 12.5710 13.6004i 0.678768 0.734353i
\(344\) 8.70425 5.02540i 0.469302 0.270951i
\(345\) 6.23363 + 2.73947i 0.335607 + 0.147488i
\(346\) 4.83698 2.79263i 0.260038 0.150133i
\(347\) 6.90261 + 3.98523i 0.370552 + 0.213938i 0.673699 0.739005i \(-0.264704\pi\)
−0.303148 + 0.952944i \(0.598038\pi\)
\(348\) −1.47695 13.4294i −0.0791730 0.719892i
\(349\) 5.06976 + 2.92703i 0.271378 + 0.156680i 0.629514 0.776989i \(-0.283254\pi\)
−0.358136 + 0.933670i \(0.616587\pi\)
\(350\) 8.04301 + 2.04254i 0.429917 + 0.109178i
\(351\) −18.7350 + 0.0348107i −0.999998 + 0.00185806i
\(352\) −1.03083 + 1.78545i −0.0549434 + 0.0951648i
\(353\) −14.2591 −0.758936 −0.379468 0.925205i \(-0.623893\pi\)
−0.379468 + 0.925205i \(0.623893\pi\)
\(354\) −17.1953 7.55674i −0.913917 0.401636i
\(355\) 18.6604i 0.990389i
\(356\) −6.03095 −0.319639
\(357\) −14.7590 11.5199i −0.781131 0.609695i
\(358\) 0.132472 + 0.229448i 0.00700134 + 0.0121267i
\(359\) 7.12892 + 4.11588i 0.376250 + 0.217228i 0.676185 0.736731i \(-0.263632\pi\)
−0.299935 + 0.953959i \(0.596965\pi\)
\(360\) 1.85976 + 8.35281i 0.0980181 + 0.440232i
\(361\) 0.158604 0.00834759
\(362\) 1.45020 + 2.51182i 0.0762208 + 0.132018i
\(363\) 4.70347 10.7027i 0.246868 0.561744i
\(364\) 5.19148 8.00303i 0.272107 0.419473i
\(365\) 7.14428i 0.373949i
\(366\) −6.78378 + 0.746074i −0.354594 + 0.0389979i
\(367\) 23.9368i 1.24949i −0.780829 0.624745i \(-0.785203\pi\)
0.780829 0.624745i \(-0.214797\pi\)
\(368\) −1.19354 0.689091i −0.0622176 0.0359213i
\(369\) −20.8160 + 4.63471i −1.08364 + 0.241273i
\(370\) 15.7038 9.06660i 0.816402 0.471350i
\(371\) 12.3770 12.7057i 0.642580 0.659646i
\(372\) −4.48190 1.96964i −0.232375 0.102121i
\(373\) 21.3521 1.10557 0.552786 0.833324i \(-0.313565\pi\)
0.552786 + 0.833324i \(0.313565\pi\)
\(374\) −8.42314 −0.435550
\(375\) −3.70423 + 8.42892i −0.191286 + 0.435268i
\(376\) 6.32538 + 3.65196i 0.326207 + 0.188336i
\(377\) 18.5539 + 21.1357i 0.955574 + 1.08855i
\(378\) 5.90139 12.4167i 0.303535 0.638644i
\(379\) −7.80867 + 13.5250i −0.401104 + 0.694733i −0.993859 0.110650i \(-0.964707\pi\)
0.592755 + 0.805383i \(0.298040\pi\)
\(380\) −10.7227 + 6.19077i −0.550064 + 0.317580i
\(381\) −11.9035 16.2188i −0.609834 0.830914i
\(382\) −0.294084 0.509369i −0.0150466 0.0260616i
\(383\) 9.65249 0.493219 0.246610 0.969115i \(-0.420683\pi\)
0.246610 + 0.969115i \(0.420683\pi\)
\(384\) −0.189348 1.72167i −0.00966261 0.0878586i
\(385\) −15.0804 3.82970i −0.768568 0.195179i
\(386\) 16.1805 9.34180i 0.823564 0.475485i
\(387\) −9.04079 + 28.7651i −0.459569 + 1.46221i
\(388\) 18.2759i 0.927817i
\(389\) 7.14154 4.12317i 0.362090 0.209053i −0.307907 0.951416i \(-0.599629\pi\)
0.669997 + 0.742364i \(0.266295\pi\)
\(390\) −13.1449 12.0222i −0.665618 0.608769i
\(391\) 5.63071i 0.284757i
\(392\) 3.65767 + 5.96837i 0.184740 + 0.301448i
\(393\) 1.24364 + 1.69450i 0.0627336 + 0.0854761i
\(394\) −23.4496 −1.18137
\(395\) −20.2164 35.0157i −1.01720 1.76183i
\(396\) −1.34418 6.03715i −0.0675475 0.303378i
\(397\) 10.3395i 0.518924i −0.965753 0.259462i \(-0.916455\pi\)
0.965753 0.259462i \(-0.0835452\pi\)
\(398\) 18.7498 0.939840
\(399\) 19.6992 + 2.75909i 0.986191 + 0.138127i
\(400\) −1.56823 + 2.71626i −0.0784116 + 0.135813i
\(401\) 22.2943 12.8716i 1.11332 0.642777i 0.173635 0.984810i \(-0.444449\pi\)
0.939688 + 0.342033i \(0.111116\pi\)
\(402\) 2.44825 + 22.2610i 0.122108 + 1.11028i
\(403\) 9.99421 1.99307i 0.497847 0.0992820i
\(404\) −5.47293 + 9.47939i −0.272288 + 0.471617i
\(405\) −21.0561 14.6865i −1.04629 0.729779i
\(406\) −19.8625 + 5.60213i −0.985761 + 0.278029i
\(407\) −11.3502 + 6.55305i −0.562609 + 0.324823i
\(408\) 5.70488 4.18699i 0.282434 0.207287i
\(409\) 30.0138 + 17.3285i 1.48409 + 0.856839i 0.999836 0.0180896i \(-0.00575842\pi\)
0.484252 + 0.874929i \(0.339092\pi\)
\(410\) −17.5603 10.1384i −0.867239 0.500701i
\(411\) 13.2202 9.70271i 0.652104 0.478599i
\(412\) −2.40226 + 1.38694i −0.118351 + 0.0683298i
\(413\) −7.06190 + 27.8080i −0.347493 + 1.36834i
\(414\) 4.03572 0.898558i 0.198345 0.0441617i
\(415\) 14.6781 25.4233i 0.720521 1.24798i
\(416\) 2.37864 + 2.70963i 0.116622 + 0.132851i
\(417\) 1.23865 + 11.2626i 0.0606572 + 0.551534i
\(418\) 7.75004 4.47449i 0.379067 0.218854i
\(419\) 18.0720 31.3016i 0.882873 1.52918i 0.0347413 0.999396i \(-0.488939\pi\)
0.848132 0.529785i \(-0.177727\pi\)
\(420\) 12.1174 4.90240i 0.591270 0.239212i
\(421\) −19.0053 −0.926260 −0.463130 0.886290i \(-0.653274\pi\)
−0.463130 + 0.886290i \(0.653274\pi\)
\(422\) 5.56493i 0.270897i
\(423\) −21.3880 + 4.76207i −1.03992 + 0.231540i
\(424\) 3.35210 + 5.80600i 0.162792 + 0.281964i
\(425\) −12.8144 −0.621588
\(426\) −6.70421 9.13465i −0.324820 0.442575i
\(427\) 2.82988 + 10.0334i 0.136948 + 0.485552i
\(428\) 0.895779i 0.0432991i
\(429\) 9.50072 + 8.68928i 0.458699 + 0.419522i
\(430\) −24.8284 + 14.3347i −1.19733 + 0.691281i
\(431\) 36.6823i 1.76692i −0.468504 0.883461i \(-0.655207\pi\)
0.468504 0.883461i \(-0.344793\pi\)
\(432\) 3.91135 + 3.42072i 0.188185 + 0.164579i
\(433\) 4.92583 2.84393i 0.236720 0.136670i −0.376948 0.926234i \(-0.623027\pi\)
0.613668 + 0.789564i \(0.289693\pi\)
\(434\) −1.84066 + 7.24808i −0.0883547 + 0.347919i
\(435\) 4.21294 + 38.3067i 0.201995 + 1.83667i
\(436\) −11.5208 −0.551744
\(437\) 2.99111 + 5.18076i 0.143084 + 0.247829i
\(438\) 2.56676 + 3.49728i 0.122645 + 0.167107i
\(439\) −17.1676 + 9.91174i −0.819366 + 0.473061i −0.850198 0.526463i \(-0.823518\pi\)
0.0308315 + 0.999525i \(0.490184\pi\)
\(440\) 2.94039 5.09290i 0.140178 0.242795i
\(441\) −20.1919 5.76939i −0.961521 0.274733i
\(442\) −4.72824 + 13.9514i −0.224899 + 0.663602i
\(443\) 0.526014 + 0.303694i 0.0249917 + 0.0144290i 0.512444 0.858721i \(-0.328740\pi\)
−0.487452 + 0.873150i \(0.662074\pi\)
\(444\) 4.42995 10.0803i 0.210236 0.478389i
\(445\) 17.2030 0.815499
\(446\) −1.87851 −0.0889499
\(447\) −31.3199 13.7641i −1.48138 0.651018i
\(448\) −2.54641 + 0.718201i −0.120306 + 0.0339318i
\(449\) −0.384292 + 0.221871i −0.0181359 + 0.0104707i −0.509041 0.860743i \(-0.670000\pi\)
0.490905 + 0.871213i \(0.336666\pi\)
\(450\) −2.04494 9.18450i −0.0963993 0.432961i
\(451\) 12.6920 + 7.32773i 0.597643 + 0.345049i
\(452\) 3.42181i 0.160948i
\(453\) −38.0577 + 4.18555i −1.78811 + 0.196654i
\(454\) 10.7630i 0.505135i
\(455\) −14.8084 + 22.8282i −0.694230 + 1.07020i
\(456\) −3.02482 + 6.88293i −0.141650 + 0.322323i
\(457\) 14.2899 + 24.7508i 0.668453 + 1.15779i 0.978337 + 0.207020i \(0.0663765\pi\)
−0.309884 + 0.950774i \(0.600290\pi\)
\(458\) −5.60888 −0.262086
\(459\) −4.11319 + 20.8272i −0.191987 + 0.972129i
\(460\) 3.40451 + 1.96560i 0.158736 + 0.0916464i
\(461\) 18.2440 + 31.5996i 0.849709 + 1.47174i 0.881468 + 0.472243i \(0.156556\pi\)
−0.0317595 + 0.999496i \(0.510111\pi\)
\(462\) −8.75810 + 3.54330i −0.407464 + 0.164849i
\(463\) −38.3097 −1.78040 −0.890201 0.455567i \(-0.849436\pi\)
−0.890201 + 0.455567i \(0.849436\pi\)
\(464\) 7.80022i 0.362116i
\(465\) 12.7844 + 5.61831i 0.592861 + 0.260543i
\(466\) −14.8414 −0.687512
\(467\) 11.2682 19.5171i 0.521431 0.903145i −0.478258 0.878219i \(-0.658732\pi\)
0.999689 0.0249257i \(-0.00793491\pi\)
\(468\) −10.7540 1.16250i −0.497104 0.0537364i
\(469\) 32.9248 9.28628i 1.52033 0.428801i
\(470\) −18.0428 10.4170i −0.832254 0.480502i
\(471\) 3.00393 + 27.3137i 0.138414 + 1.25855i
\(472\) −9.39123 5.42203i −0.432267 0.249569i
\(473\) 17.9452 10.3607i 0.825121 0.476384i
\(474\) −22.4766 9.87774i −1.03239 0.453699i
\(475\) 11.7904 6.80718i 0.540980 0.312335i
\(476\) −7.74298 7.54266i −0.354899 0.345717i
\(477\) −19.1872 6.03048i −0.878522 0.276117i
\(478\) 6.36573 + 11.0258i 0.291162 + 0.504307i
\(479\) −18.6725 −0.853168 −0.426584 0.904448i \(-0.640283\pi\)
−0.426584 + 0.904448i \(0.640283\pi\)
\(480\) 0.540104 + 4.91098i 0.0246523 + 0.224154i
\(481\) 4.48264 + 22.4781i 0.204391 + 1.02491i
\(482\) 3.02382 0.137731
\(483\) −2.36863 5.85463i −0.107776 0.266395i
\(484\) 3.37478 5.84529i 0.153399 0.265695i
\(485\) 52.1310i 2.36715i
\(486\) −15.5839 + 0.375574i −0.706902 + 0.0170364i
\(487\) 0.780349 1.35160i 0.0353610 0.0612470i −0.847803 0.530311i \(-0.822075\pi\)
0.883164 + 0.469064i \(0.155409\pi\)
\(488\) −3.94023 −0.178366
\(489\) 2.60258 5.92214i 0.117693 0.267808i
\(490\) −10.4333 17.0245i −0.471329 0.769088i
\(491\) −23.0262 13.2942i −1.03916 0.599959i −0.119564 0.992826i \(-0.538150\pi\)
−0.919595 + 0.392868i \(0.871483\pi\)
\(492\) −12.2386 + 1.34599i −0.551759 + 0.0606820i
\(493\) 27.5991 15.9343i 1.24300 0.717646i
\(494\) −3.06079 15.3483i −0.137712 0.690552i
\(495\) 3.83420 + 17.2207i 0.172334 + 0.774011i
\(496\) −2.44780 1.41324i −0.109909 0.0634562i
\(497\) −12.0773 + 12.3981i −0.541740 + 0.556129i
\(498\) −1.94869 17.7187i −0.0873229 0.793996i
\(499\) −2.95848 + 5.12424i −0.132440 + 0.229392i −0.924617 0.380899i \(-0.875614\pi\)
0.792177 + 0.610292i \(0.208948\pi\)
\(500\) −2.65782 + 4.60348i −0.118861 + 0.205874i
\(501\) 16.2600 + 22.1546i 0.726441 + 0.989795i
\(502\) 20.6862 + 11.9432i 0.923272 + 0.533052i
\(503\) −21.6022 37.4160i −0.963193 1.66830i −0.714395 0.699743i \(-0.753298\pi\)
−0.248798 0.968555i \(-0.580036\pi\)
\(504\) 4.17044 6.75333i 0.185766 0.300817i
\(505\) 15.6113 27.0395i 0.694692 1.20324i
\(506\) −2.46067 1.42067i −0.109390 0.0631565i
\(507\) 19.7254 10.8586i 0.876035 0.482248i
\(508\) −5.80763 10.0591i −0.257672 0.446300i
\(509\) −16.6682 28.8701i −0.738803 1.27965i −0.953034 0.302862i \(-0.902058\pi\)
0.214231 0.976783i \(-0.431275\pi\)
\(510\) −16.2729 + 11.9432i −0.720576 + 0.528853i
\(511\) 4.62390 4.74670i 0.204549 0.209982i
\(512\) 1.00000i 0.0441942i
\(513\) −7.27919 21.3479i −0.321384 0.942531i
\(514\) −9.59680 5.54072i −0.423297 0.244390i
\(515\) 6.85232 3.95619i 0.301949 0.174330i
\(516\) −7.00395 + 15.9374i −0.308332 + 0.701605i
\(517\) 13.0408 + 7.52910i 0.573533 + 0.331130i
\(518\) −16.3018 4.13986i −0.716258 0.181895i
\(519\) −3.89212 + 8.85646i −0.170845 + 0.388755i
\(520\) −6.78494 7.72908i −0.297539 0.338943i
\(521\) −3.50547 6.07166i −0.153578 0.266004i 0.778963 0.627070i \(-0.215746\pi\)
−0.932540 + 0.361066i \(0.882413\pi\)
\(522\) 15.8250 + 17.2384i 0.692641 + 0.754503i
\(523\) 15.8120 9.12904i 0.691409 0.399185i −0.112731 0.993626i \(-0.535960\pi\)
0.804140 + 0.594441i \(0.202626\pi\)
\(524\) 0.606766 + 1.05095i 0.0265067 + 0.0459109i
\(525\) −13.3240 + 5.39052i −0.581505 + 0.235262i
\(526\) 2.04714 + 3.54575i 0.0892596 + 0.154602i
\(527\) 11.5479i 0.503033i
\(528\) −0.390370 3.54950i −0.0169887 0.154472i
\(529\) −10.5503 + 18.2737i −0.458709 + 0.794507i
\(530\) −9.56169 16.5613i −0.415333 0.719378i
\(531\) 31.7546 7.07020i 1.37803 0.306821i
\(532\) 11.1310 + 2.82674i 0.482590 + 0.122555i
\(533\) 19.2616 16.9087i 0.834313 0.732397i
\(534\) 8.42123 6.18060i 0.364422 0.267461i
\(535\) 2.55516i 0.110469i
\(536\) 12.9299i 0.558487i
\(537\) −0.420116 0.184627i −0.0181293 0.00796724i
\(538\) 18.1762i 0.783632i
\(539\) 7.54086 + 12.3048i 0.324808 + 0.530003i
\(540\) −11.1569 9.75742i −0.480118 0.419892i
\(541\) 7.10217 12.3013i 0.305346 0.528875i −0.671992 0.740558i \(-0.734561\pi\)
0.977338 + 0.211683i \(0.0678944\pi\)
\(542\) −7.18024 + 12.4365i −0.308418 + 0.534195i
\(543\) −4.59911 2.02116i −0.197367 0.0867361i
\(544\) 3.53824 2.04280i 0.151701 0.0875845i
\(545\) 32.8624 1.40767
\(546\) 0.952576 + 16.4952i 0.0407665 + 0.705931i
\(547\) 1.17690 0.0503208 0.0251604 0.999683i \(-0.491990\pi\)
0.0251604 + 0.999683i \(0.491990\pi\)
\(548\) 8.19933 4.73388i 0.350258 0.202221i
\(549\) 8.70785 7.99389i 0.371642 0.341171i
\(550\) −3.23316 + 5.60000i −0.137862 + 0.238785i
\(551\) −16.9291 + 29.3220i −0.721204 + 1.24916i
\(552\) 2.37277 0.260955i 0.100992 0.0111070i
\(553\) −9.23091 + 36.3490i −0.392538 + 1.54572i
\(554\) 5.83961i 0.248101i
\(555\) −12.6362 + 28.7535i −0.536377 + 1.22052i
\(556\) 6.54170i 0.277430i
\(557\) 30.3478i 1.28588i 0.765918 + 0.642938i \(0.222285\pi\)
−0.765918 + 0.642938i \(0.777715\pi\)
\(558\) 8.27675 1.84283i 0.350383 0.0780132i
\(559\) −7.08726 35.5389i −0.299759 1.50314i
\(560\) 7.26350 2.04863i 0.306939 0.0865705i
\(561\) 11.7615 8.63216i 0.496572 0.364450i
\(562\) −7.27114 12.5940i −0.306714 0.531245i
\(563\) −8.71129 + 15.0884i −0.367137 + 0.635900i −0.989117 0.147133i \(-0.952995\pi\)
0.621979 + 0.783034i \(0.286329\pi\)
\(564\) −12.5749 + 1.38298i −0.529501 + 0.0582340i
\(565\) 9.76053i 0.410629i
\(566\) 2.55915 + 4.43257i 0.107569 + 0.186315i
\(567\) 4.48445 + 23.3857i 0.188329 + 0.982106i
\(568\) −3.27094 5.66543i −0.137245 0.237716i
\(569\) −36.4062 + 21.0191i −1.52623 + 0.881167i −0.526711 + 0.850045i \(0.676575\pi\)
−0.999516 + 0.0311223i \(0.990092\pi\)
\(570\) 8.62813 19.6332i 0.361393 0.822344i
\(571\) −17.8452 30.9087i −0.746797 1.29349i −0.949350 0.314219i \(-0.898257\pi\)
0.202553 0.979271i \(-0.435076\pi\)
\(572\) 4.90394 + 5.58633i 0.205044 + 0.233576i
\(573\) 0.932649 + 0.409868i 0.0389620 + 0.0171225i
\(574\) 5.10539 + 18.1013i 0.213095 + 0.755534i
\(575\) −3.74350 2.16131i −0.156115 0.0901328i
\(576\) 2.02879 + 2.20998i 0.0845327 + 0.0920827i
\(577\) −34.3730 + 19.8453i −1.43097 + 0.826170i −0.997195 0.0748524i \(-0.976151\pi\)
−0.433773 + 0.901022i \(0.642818\pi\)
\(578\) −0.266557 0.153897i −0.0110873 0.00640126i
\(579\) −13.0198 + 29.6263i −0.541083 + 1.23123i
\(580\) 22.2497i 0.923870i
\(581\) −26.2066 + 7.39144i −1.08723 + 0.306649i
\(582\) −18.7294 25.5193i −0.776358 1.05781i
\(583\) 6.91088 + 11.9700i 0.286220 + 0.495747i
\(584\) 1.25231 + 2.16906i 0.0518208 + 0.0897563i
\(585\) 30.6752 + 3.31596i 1.26827 + 0.137098i
\(586\) 26.3249 + 15.1987i 1.08747 + 0.627852i
\(587\) −5.31225 + 9.20108i −0.219260 + 0.379769i −0.954582 0.297949i \(-0.903698\pi\)
0.735322 + 0.677718i \(0.237031\pi\)
\(588\) −11.2238 4.58542i −0.462862 0.189100i
\(589\) 6.13440 + 10.6251i 0.252763 + 0.437799i
\(590\) 26.7880 + 15.4661i 1.10285 + 0.636728i
\(591\) 32.7435 24.0315i 1.34689 0.988523i
\(592\) 3.17853 5.50538i 0.130637 0.226270i
\(593\) −17.5065 + 30.3222i −0.718907 + 1.24518i 0.242527 + 0.970145i \(0.422024\pi\)
−0.961433 + 0.275038i \(0.911310\pi\)
\(594\) 8.06388 + 7.05235i 0.330865 + 0.289362i
\(595\) 22.0865 + 21.5150i 0.905457 + 0.882031i
\(596\) −17.1055 9.87585i −0.700667 0.404531i
\(597\) −26.1810 + 19.2150i −1.07152 + 0.786419i
\(598\) −3.73436 + 3.27819i −0.152709 + 0.134055i
\(599\) −8.65396 + 4.99637i −0.353591 + 0.204146i −0.666266 0.745714i \(-0.732108\pi\)
0.312675 + 0.949860i \(0.398775\pi\)
\(600\) −0.593882 5.39996i −0.0242451 0.220452i
\(601\) 6.92945 + 4.00072i 0.282658 + 0.163193i 0.634626 0.772819i \(-0.281154\pi\)
−0.351968 + 0.936012i \(0.614487\pi\)
\(602\) 25.7738 + 6.54531i 1.05046 + 0.266767i
\(603\) −26.2320 28.5749i −1.06825 1.16366i
\(604\) −22.1051 −0.899444
\(605\) −9.62639 + 16.6734i −0.391368 + 0.677870i
\(606\) −2.07257 18.8452i −0.0841925 0.765532i
\(607\) 34.3379i 1.39373i 0.717201 + 0.696866i \(0.245423\pi\)
−0.717201 + 0.696866i \(0.754577\pi\)
\(608\) −2.17033 + 3.75913i −0.0880187 + 0.152453i
\(609\) 21.9936 28.1779i 0.891227 1.14183i
\(610\) 11.2393 0.455066
\(611\) 19.7909 17.3734i 0.800655 0.702851i
\(612\) −3.67504 + 11.6929i −0.148555 + 0.472657i
\(613\) 29.1643 1.17793 0.588967 0.808157i \(-0.299535\pi\)
0.588967 + 0.808157i \(0.299535\pi\)
\(614\) 0.585214 + 1.01362i 0.0236173 + 0.0409064i
\(615\) 34.9100 3.83937i 1.40771 0.154818i
\(616\) −5.24982 + 1.48069i −0.211521 + 0.0596586i
\(617\) 13.7657 7.94764i 0.554187 0.319960i −0.196622 0.980479i \(-0.562997\pi\)
0.750809 + 0.660519i \(0.229664\pi\)
\(618\) 1.93300 4.39851i 0.0777566 0.176934i
\(619\) −12.0626 + 6.96433i −0.484835 + 0.279920i −0.722429 0.691445i \(-0.756975\pi\)
0.237594 + 0.971365i \(0.423641\pi\)
\(620\) 6.98222 + 4.03119i 0.280413 + 0.161896i
\(621\) −4.71437 + 5.39056i −0.189181 + 0.216316i
\(622\) −2.57489 1.48661i −0.103244 0.0596077i
\(623\) −11.4298 11.1340i −0.457923 0.446076i
\(624\) −6.09824 1.34589i −0.244125 0.0538789i
\(625\) 15.4225 26.7125i 0.616898 1.06850i
\(626\) 12.2356 0.489034
\(627\) −6.23614 + 14.1903i −0.249048 + 0.566704i
\(628\) 15.8646i 0.633068i
\(629\) 25.9725 1.03559
\(630\) −11.8960 + 19.2635i −0.473947 + 0.767477i
\(631\) 9.83148 + 17.0286i 0.391385 + 0.677899i 0.992633 0.121164i \(-0.0386627\pi\)
−0.601247 + 0.799063i \(0.705329\pi\)
\(632\) −12.2757 7.08737i −0.488300 0.281920i
\(633\) −5.70302 7.77052i −0.226675 0.308850i
\(634\) −11.0865 −0.440302
\(635\) 16.5660 + 28.6931i 0.657400 + 1.13865i
\(636\) −10.6307 4.67185i −0.421536 0.185251i
\(637\) 24.6136 5.58296i 0.975227 0.221205i
\(638\) 16.0814i 0.636669i
\(639\) 18.7227 + 5.88447i 0.740657 + 0.232786i
\(640\) 2.85245i 0.112753i
\(641\) −42.9310 24.7862i −1.69567 0.978998i −0.949772 0.312942i \(-0.898685\pi\)
−0.745902 0.666056i \(-0.767981\pi\)
\(642\) −0.918008 1.25081i −0.0362309 0.0493655i
\(643\) −30.8334 + 17.8017i −1.21595 + 0.702030i −0.964049 0.265723i \(-0.914389\pi\)
−0.251902 + 0.967753i \(0.581056\pi\)
\(644\) −0.989812 3.50941i −0.0390041 0.138290i
\(645\) 19.9784 45.4606i 0.786649 1.79001i
\(646\) −17.7343 −0.697746
\(647\) 23.9676 0.942264 0.471132 0.882063i \(-0.343846\pi\)
0.471132 + 0.882063i \(0.343846\pi\)
\(648\) −8.96717 0.768056i −0.352264 0.0301721i
\(649\) −19.3615 11.1784i −0.760006 0.438790i
\(650\) 7.46051 + 8.49866i 0.292625 + 0.333345i
\(651\) −4.85776 12.0071i −0.190390 0.470595i
\(652\) 1.86738 3.23439i 0.0731321 0.126669i
\(653\) −0.425013 + 0.245381i −0.0166320 + 0.00960251i −0.508293 0.861184i \(-0.669723\pi\)
0.491661 + 0.870787i \(0.336390\pi\)
\(654\) 16.0868 11.8066i 0.629045 0.461676i
\(655\) −1.73077 2.99778i −0.0676267 0.117133i
\(656\) −7.10857 −0.277543
\(657\) −7.16813 2.25292i −0.279655 0.0878949i
\(658\) 5.24569 + 18.5988i 0.204498 + 0.725055i
\(659\) 18.7736 10.8389i 0.731314 0.422225i −0.0875884 0.996157i \(-0.527916\pi\)
0.818903 + 0.573932i \(0.194583\pi\)
\(660\) 1.11351 + 10.1248i 0.0433434 + 0.394106i
\(661\) 27.7315i 1.07863i −0.842104 0.539315i \(-0.818683\pi\)
0.842104 0.539315i \(-0.181317\pi\)
\(662\) 23.3769 13.4967i 0.908570 0.524563i
\(663\) −7.69543 24.3265i −0.298866 0.944761i
\(664\) 10.2916i 0.399392i
\(665\) −31.7506 8.06313i −1.23124 0.312675i
\(666\) 4.14473 + 18.6154i 0.160605 + 0.721330i
\(667\) 10.7501 0.416247
\(668\) 7.93312 + 13.7406i 0.306942 + 0.531638i
\(669\) 2.62303 1.92512i 0.101412 0.0744295i
\(670\) 36.8819i 1.42487i
\(671\) −8.12342 −0.313601
\(672\) 2.81962 3.61245i 0.108769 0.139353i
\(673\) 0.414076 0.717200i 0.0159614 0.0276460i −0.857934 0.513759i \(-0.828252\pi\)
0.873896 + 0.486113i \(0.161586\pi\)
\(674\) −3.67653 + 2.12265i −0.141615 + 0.0817613i
\(675\) 12.2678 + 10.7290i 0.472189 + 0.412958i
\(676\) 12.0055 4.98667i 0.461752 0.191795i
\(677\) −10.5010 + 18.1882i −0.403586 + 0.699031i −0.994156 0.107955i \(-0.965570\pi\)
0.590570 + 0.806986i \(0.298903\pi\)
\(678\) −3.50672 4.77799i −0.134675 0.183498i
\(679\) −33.7400 + 34.6361i −1.29482 + 1.32921i
\(680\) −10.0927 + 5.82700i −0.387036 + 0.223455i
\(681\) 11.0301 + 15.0288i 0.422675 + 0.575906i
\(682\) −5.04653 2.91362i −0.193242 0.111568i
\(683\) 2.10299 + 1.21416i 0.0804689 + 0.0464587i 0.539695 0.841861i \(-0.318540\pi\)
−0.459226 + 0.888320i \(0.651873\pi\)
\(684\) −2.83006 12.7108i −0.108210 0.486008i
\(685\) −23.3882 + 13.5032i −0.893616 + 0.515929i
\(686\) −4.08657 + 18.0638i −0.156026 + 0.689678i
\(687\) 7.83188 5.74806i 0.298805 0.219302i
\(688\) −5.02540 + 8.70425i −0.191592 + 0.331846i
\(689\) 23.7055 4.72742i 0.903109 0.180100i
\(690\) −6.76822 + 0.744362i −0.257662 + 0.0283374i
\(691\) −7.95152 + 4.59081i −0.302490 + 0.174643i −0.643561 0.765395i \(-0.722544\pi\)
0.341071 + 0.940038i \(0.389210\pi\)
\(692\) −2.79263 + 4.83698i −0.106160 + 0.183874i
\(693\) 8.59803 13.9231i 0.326612 0.528893i
\(694\) −7.97045 −0.302554
\(695\) 18.6599i 0.707809i
\(696\) 7.99379 + 10.8917i 0.303004 + 0.412850i
\(697\) −14.5214 25.1519i −0.550038 0.952694i
\(698\) −5.85406 −0.221579
\(699\) 20.7235 15.2096i 0.783835 0.575281i
\(700\) −7.98672 + 2.25261i −0.301870 + 0.0851408i
\(701\) 7.30740i 0.275997i −0.990432 0.137998i \(-0.955933\pi\)
0.990432 0.137998i \(-0.0440669\pi\)
\(702\) 16.2075 9.39763i 0.611714 0.354691i
\(703\) −23.8970 + 13.7969i −0.901293 + 0.520362i
\(704\) 2.06166i 0.0777017i
\(705\) 35.8694 3.94488i 1.35092 0.148573i
\(706\) 12.3488 7.12956i 0.464751 0.268324i
\(707\) −27.8726 + 7.86133i −1.04826 + 0.295656i
\(708\) 18.6699 2.05330i 0.701658 0.0771676i
\(709\) −7.09910 −0.266612 −0.133306 0.991075i \(-0.542559\pi\)
−0.133306 + 0.991075i \(0.542559\pi\)
\(710\) 9.33018 + 16.1603i 0.350155 + 0.606487i
\(711\) 41.5078 9.24176i 1.55666 0.346593i
\(712\) 5.22295 3.01547i 0.195738 0.113010i
\(713\) 1.94770 3.37351i 0.0729419 0.126339i
\(714\) 18.5416 + 2.59696i 0.693903 + 0.0971888i
\(715\) −13.9882 15.9347i −0.523130 0.595925i
\(716\) −0.229448 0.132472i −0.00857486 0.00495070i
\(717\) −20.1881 8.87199i −0.753938 0.331330i
\(718\) −8.23177 −0.307207
\(719\) −16.4441 −0.613260 −0.306630 0.951829i \(-0.599201\pi\)
−0.306630 + 0.951829i \(0.599201\pi\)
\(720\) −5.78701 6.30387i −0.215669 0.234931i
\(721\) −7.11323 1.80642i −0.264910 0.0672745i
\(722\) −0.137355 + 0.0793021i −0.00511183 + 0.00295132i
\(723\) −4.22227 + 3.09886i −0.157028 + 0.115248i
\(724\) −2.51182 1.45020i −0.0933510 0.0538962i
\(725\) 24.4651i 0.908612i
\(726\) 1.27801 + 11.6205i 0.0474315 + 0.431278i
\(727\) 37.5539i 1.39280i −0.717656 0.696398i \(-0.754785\pi\)
0.717656 0.696398i \(-0.245215\pi\)
\(728\) −0.494437 + 9.52657i −0.0183251 + 0.353078i
\(729\) 21.3755 16.4951i 0.791686 0.610929i
\(730\) −3.57214 6.18713i −0.132211 0.228996i
\(731\) −41.0637 −1.51879
\(732\) 5.50189 4.03801i 0.203356 0.149249i
\(733\) 3.68363 + 2.12674i 0.136058 + 0.0785531i 0.566484 0.824073i \(-0.308303\pi\)
−0.430426 + 0.902626i \(0.641637\pi\)
\(734\) 11.9684 + 20.7299i 0.441761 + 0.765153i
\(735\) 32.0153 + 13.0797i 1.18090 + 0.482452i
\(736\) 1.37818 0.0508005
\(737\) 26.6571i 0.981926i
\(738\) 15.7098 14.4218i 0.578287 0.530873i
\(739\) 16.7414 0.615843 0.307921 0.951412i \(-0.400367\pi\)
0.307921 + 0.951412i \(0.400367\pi\)
\(740\) −9.06660 + 15.7038i −0.333295 + 0.577283i
\(741\) 20.0030 + 18.2946i 0.734830 + 0.672069i
\(742\) −4.36592 + 17.1919i −0.160278 + 0.631136i
\(743\) 37.8379 + 21.8457i 1.38814 + 0.801441i 0.993105 0.117226i \(-0.0374002\pi\)
0.395032 + 0.918667i \(0.370734\pi\)
\(744\) 4.86626 0.535186i 0.178406 0.0196209i
\(745\) 48.7925 + 28.1704i 1.78762 + 1.03208i
\(746\) −18.4915 + 10.6761i −0.677021 + 0.390878i
\(747\) 20.8795 + 22.7443i 0.763939 + 0.832169i
\(748\) 7.29465 4.21157i 0.266719 0.153990i
\(749\) −1.65374 + 1.69767i −0.0604265 + 0.0620314i
\(750\) −1.00650 9.15177i −0.0367523 0.334176i
\(751\) −18.5204 32.0783i −0.675820 1.17055i −0.976228 0.216744i \(-0.930456\pi\)
0.300408 0.953811i \(-0.402877\pi\)
\(752\) −7.30392 −0.266347
\(753\) −41.1245 + 4.52284i −1.49866 + 0.164821i
\(754\) −26.6360 9.02713i −0.970026 0.328749i
\(755\) 63.0537 2.29476
\(756\) 1.09757 + 13.7038i 0.0399184 + 0.498404i
\(757\) 11.1135 19.2491i 0.403926 0.699621i −0.590269 0.807206i \(-0.700979\pi\)
0.994196 + 0.107585i \(0.0343119\pi\)
\(758\) 15.6173i 0.567247i
\(759\) 4.89185 0.538001i 0.177563 0.0195282i
\(760\) 6.19077 10.7227i 0.224563 0.388954i
\(761\) 0.638902 0.0231602 0.0115801 0.999933i \(-0.496314\pi\)
0.0115801 + 0.999933i \(0.496314\pi\)
\(762\) 18.4181 + 8.09415i 0.667218 + 0.293220i
\(763\) −21.8339 21.2691i −0.790442 0.769992i
\(764\) 0.509369 + 0.294084i 0.0184283 + 0.0106396i
\(765\) 10.4829 33.3534i 0.379009 1.20589i
\(766\) −8.35931 + 4.82625i −0.302034 + 0.174379i
\(767\) −29.3834 + 25.7941i −1.06097 + 0.931370i
\(768\) 1.02481 + 1.39634i 0.0369798 + 0.0503859i
\(769\) −32.7494 18.9079i −1.18097 0.681835i −0.224733 0.974420i \(-0.572151\pi\)
−0.956239 + 0.292586i \(0.905484\pi\)
\(770\) 14.9749 4.22358i 0.539656 0.152207i
\(771\) 19.0786 2.09824i 0.687098 0.0755664i
\(772\) −9.34180 + 16.1805i −0.336219 + 0.582348i
\(773\) −5.11479 + 8.85908i −0.183966 + 0.318639i −0.943228 0.332147i \(-0.892227\pi\)
0.759261 + 0.650786i \(0.225560\pi\)
\(774\) −6.55301 29.4317i −0.235543 1.05790i
\(775\) −7.67744 4.43257i −0.275782 0.159223i
\(776\)