Properties

Label 585.2.i.h.391.14
Level $585$
Weight $2$
Character 585.391
Analytic conductor $4.671$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 391.14
Character \(\chi\) \(=\) 585.391
Dual form 585.2.i.h.196.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.26258 + 2.18685i) q^{2} +(-0.259881 - 1.71244i) q^{3} +(-2.18820 + 3.79007i) q^{4} +(0.500000 - 0.866025i) q^{5} +(3.41673 - 2.73041i) q^{6} +(0.799357 + 1.38453i) q^{7} -6.00077 q^{8} +(-2.86492 + 0.890062i) q^{9} +O(q^{10})\) \(q+(1.26258 + 2.18685i) q^{2} +(-0.259881 - 1.71244i) q^{3} +(-2.18820 + 3.79007i) q^{4} +(0.500000 - 0.866025i) q^{5} +(3.41673 - 2.73041i) q^{6} +(0.799357 + 1.38453i) q^{7} -6.00077 q^{8} +(-2.86492 + 0.890062i) q^{9} +2.52515 q^{10} +(2.68984 + 4.65893i) q^{11} +(7.05895 + 2.76220i) q^{12} +(-0.500000 + 0.866025i) q^{13} +(-2.01850 + 3.49614i) q^{14} +(-1.61296 - 0.631158i) q^{15} +(-3.20003 - 5.54262i) q^{16} +3.08624 q^{17} +(-5.56361 - 5.14138i) q^{18} +3.72202 q^{19} +(2.18820 + 3.79007i) q^{20} +(2.16319 - 1.72867i) q^{21} +(-6.79225 + 11.7645i) q^{22} +(-0.847988 + 1.46876i) q^{23} +(1.55948 + 10.2760i) q^{24} +(-0.500000 - 0.866025i) q^{25} -2.52515 q^{26} +(2.26872 + 4.67471i) q^{27} -6.99661 q^{28} +(-0.320437 - 0.555014i) q^{29} +(-0.656238 - 4.32418i) q^{30} +(-2.79393 + 4.83923i) q^{31} +(2.07980 - 3.60232i) q^{32} +(7.27912 - 5.81696i) q^{33} +(3.89662 + 6.74914i) q^{34} +1.59871 q^{35} +(2.89563 - 12.8059i) q^{36} +0.445044 q^{37} +(4.69933 + 8.13948i) q^{38} +(1.61296 + 0.631158i) q^{39} +(-3.00038 + 5.19682i) q^{40} +(3.19674 - 5.53691i) q^{41} +(6.51151 + 2.54798i) q^{42} +(-2.82920 - 4.90031i) q^{43} -23.5436 q^{44} +(-0.661646 + 2.92613i) q^{45} -4.28260 q^{46} +(-5.70445 - 9.88040i) q^{47} +(-8.65979 + 6.92029i) q^{48} +(2.22206 - 3.84872i) q^{49} +(1.26258 - 2.18685i) q^{50} +(-0.802054 - 5.28501i) q^{51} +(-2.18820 - 3.79007i) q^{52} -10.3086 q^{53} +(-7.35844 + 10.8635i) q^{54} +5.37967 q^{55} +(-4.79676 - 8.30823i) q^{56} +(-0.967280 - 6.37374i) q^{57} +(0.809153 - 1.40149i) q^{58} +(4.67420 - 8.09595i) q^{59} +(5.92161 - 4.73213i) q^{60} +(3.23867 + 5.60954i) q^{61} -14.1102 q^{62} +(-3.52241 - 3.25509i) q^{63} -2.29649 q^{64} +(0.500000 + 0.866025i) q^{65} +(21.9112 + 8.57397i) q^{66} +(7.64188 - 13.2361i) q^{67} +(-6.75331 + 11.6971i) q^{68} +(2.73554 + 1.07043i) q^{69} +(2.01850 + 3.49614i) q^{70} -5.56344 q^{71} +(17.1917 - 5.34105i) q^{72} +11.7669 q^{73} +(0.561902 + 0.973242i) q^{74} +(-1.35308 + 1.08128i) q^{75} +(-8.14451 + 14.1067i) q^{76} +(-4.30028 + 7.44830i) q^{77} +(0.656238 + 4.32418i) q^{78} +(2.66045 + 4.60803i) q^{79} -6.40006 q^{80} +(7.41558 - 5.09992i) q^{81} +16.1445 q^{82} +(4.87457 + 8.44301i) q^{83} +(1.81828 + 11.9813i) q^{84} +(1.54312 - 2.67276i) q^{85} +(7.14415 - 12.3740i) q^{86} +(-0.867154 + 0.692968i) q^{87} +(-16.1411 - 27.9572i) q^{88} -15.7300 q^{89} +(-7.23437 + 2.24754i) q^{90} -1.59871 q^{91} +(-3.71114 - 6.42787i) q^{92} +(9.01300 + 3.52683i) q^{93} +(14.4046 - 24.9495i) q^{94} +(1.86101 - 3.22336i) q^{95} +(-6.70927 - 2.62537i) q^{96} +(0.456931 + 0.791428i) q^{97} +11.2221 q^{98} +(-11.8529 - 10.9534i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9} + 2 q^{10} + 9 q^{11} + 18 q^{12} - 15 q^{13} + 3 q^{14} + 2 q^{15} - 33 q^{16} + 6 q^{17} + 9 q^{18} + 30 q^{19} + 21 q^{20} + 9 q^{21} - 10 q^{22} - 6 q^{23} + 24 q^{24} - 15 q^{25} - 2 q^{26} - 2 q^{27} + 70 q^{28} + 8 q^{29} - 6 q^{30} - 22 q^{31} + 21 q^{32} - 20 q^{33} - 9 q^{34} - 20 q^{35} - 7 q^{36} + 8 q^{37} - 14 q^{38} - 2 q^{39} + 13 q^{41} + 21 q^{42} - 24 q^{43} + 10 q^{44} - 7 q^{45} - 6 q^{46} - q^{47} - 27 q^{48} - 37 q^{49} + q^{50} - q^{51} - 21 q^{52} + 14 q^{53} - 24 q^{54} + 18 q^{55} + 17 q^{56} - 55 q^{57} - 22 q^{58} + 19 q^{59} + 9 q^{60} - 16 q^{61} + 26 q^{62} + 4 q^{63} + 72 q^{64} + 15 q^{65} + 24 q^{66} - 11 q^{67} - 28 q^{68} + 44 q^{69} - 3 q^{70} - 56 q^{71} - 18 q^{72} + 52 q^{73} + 8 q^{74} + q^{75} - 18 q^{76} - 24 q^{77} + 6 q^{78} - 44 q^{79} - 66 q^{80} + 37 q^{81} + 70 q^{82} - 3 q^{83} - 139 q^{84} + 3 q^{85} + 40 q^{86} + 60 q^{87} - 37 q^{88} - 8 q^{89} - 12 q^{90} + 20 q^{91} - 74 q^{92} - 55 q^{93} - 2 q^{94} + 15 q^{95} + 55 q^{96} - 33 q^{97} + 6 q^{98} + 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.26258 + 2.18685i 0.892776 + 1.54633i 0.836533 + 0.547917i \(0.184579\pi\)
0.0562438 + 0.998417i \(0.482088\pi\)
\(3\) −0.259881 1.71244i −0.150042 0.988680i
\(4\) −2.18820 + 3.79007i −1.09410 + 1.89504i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) 3.41673 2.73041i 1.39487 1.11469i
\(7\) 0.799357 + 1.38453i 0.302129 + 0.523302i 0.976618 0.214983i \(-0.0689695\pi\)
−0.674489 + 0.738285i \(0.735636\pi\)
\(8\) −6.00077 −2.12159
\(9\) −2.86492 + 0.890062i −0.954975 + 0.296687i
\(10\) 2.52515 0.798524
\(11\) 2.68984 + 4.65893i 0.811016 + 1.40472i 0.912153 + 0.409849i \(0.134419\pi\)
−0.101137 + 0.994872i \(0.532248\pi\)
\(12\) 7.05895 + 2.76220i 2.03774 + 0.797379i
\(13\) −0.500000 + 0.866025i −0.138675 + 0.240192i
\(14\) −2.01850 + 3.49614i −0.539466 + 0.934383i
\(15\) −1.61296 0.631158i −0.416464 0.162964i
\(16\) −3.20003 5.54262i −0.800008 1.38565i
\(17\) 3.08624 0.748524 0.374262 0.927323i \(-0.377896\pi\)
0.374262 + 0.927323i \(0.377896\pi\)
\(18\) −5.56361 5.14138i −1.31136 1.21183i
\(19\) 3.72202 0.853889 0.426944 0.904278i \(-0.359590\pi\)
0.426944 + 0.904278i \(0.359590\pi\)
\(20\) 2.18820 + 3.79007i 0.489296 + 0.847486i
\(21\) 2.16319 1.72867i 0.472046 0.377226i
\(22\) −6.79225 + 11.7645i −1.44811 + 2.50820i
\(23\) −0.847988 + 1.46876i −0.176818 + 0.306257i −0.940789 0.338993i \(-0.889914\pi\)
0.763971 + 0.645251i \(0.223247\pi\)
\(24\) 1.55948 + 10.2760i 0.318328 + 2.09757i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −2.52515 −0.495223
\(27\) 2.26872 + 4.67471i 0.436615 + 0.899648i
\(28\) −6.99661 −1.32223
\(29\) −0.320437 0.555014i −0.0595037 0.103063i 0.834739 0.550646i \(-0.185618\pi\)
−0.894243 + 0.447582i \(0.852285\pi\)
\(30\) −0.656238 4.32418i −0.119812 0.789484i
\(31\) −2.79393 + 4.83923i −0.501805 + 0.869152i 0.498193 + 0.867066i \(0.333997\pi\)
−0.999998 + 0.00208580i \(0.999336\pi\)
\(32\) 2.07980 3.60232i 0.367660 0.636807i
\(33\) 7.27912 5.81696i 1.26713 1.01260i
\(34\) 3.89662 + 6.74914i 0.668264 + 1.15747i
\(35\) 1.59871 0.270232
\(36\) 2.89563 12.8059i 0.482604 2.13432i
\(37\) 0.445044 0.0731647 0.0365824 0.999331i \(-0.488353\pi\)
0.0365824 + 0.999331i \(0.488353\pi\)
\(38\) 4.69933 + 8.13948i 0.762332 + 1.32040i
\(39\) 1.61296 + 0.631158i 0.258280 + 0.101066i
\(40\) −3.00038 + 5.19682i −0.474402 + 0.821689i
\(41\) 3.19674 5.53691i 0.499246 0.864720i −0.500753 0.865590i \(-0.666944\pi\)
1.00000 0.000870040i \(0.000276942\pi\)
\(42\) 6.51151 + 2.54798i 1.00475 + 0.393163i
\(43\) −2.82920 4.90031i −0.431448 0.747290i 0.565550 0.824714i \(-0.308664\pi\)
−0.996998 + 0.0774237i \(0.975331\pi\)
\(44\) −23.5436 −3.54933
\(45\) −0.661646 + 2.92613i −0.0986324 + 0.436201i
\(46\) −4.28260 −0.631435
\(47\) −5.70445 9.88040i −0.832080 1.44120i −0.896386 0.443274i \(-0.853817\pi\)
0.0643062 0.997930i \(-0.479517\pi\)
\(48\) −8.65979 + 6.92029i −1.24993 + 0.998858i
\(49\) 2.22206 3.84872i 0.317437 0.549817i
\(50\) 1.26258 2.18685i 0.178555 0.309267i
\(51\) −0.802054 5.28501i −0.112310 0.740050i
\(52\) −2.18820 3.79007i −0.303449 0.525588i
\(53\) −10.3086 −1.41600 −0.708000 0.706212i \(-0.750402\pi\)
−0.708000 + 0.706212i \(0.750402\pi\)
\(54\) −7.35844 + 10.8635i −1.00136 + 1.47834i
\(55\) 5.37967 0.725395
\(56\) −4.79676 8.30823i −0.640993 1.11023i
\(57\) −0.967280 6.37374i −0.128119 0.844222i
\(58\) 0.809153 1.40149i 0.106247 0.184025i
\(59\) 4.67420 8.09595i 0.608529 1.05400i −0.382954 0.923767i \(-0.625093\pi\)
0.991483 0.130236i \(-0.0415734\pi\)
\(60\) 5.92161 4.73213i 0.764477 0.610916i
\(61\) 3.23867 + 5.60954i 0.414669 + 0.718228i 0.995394 0.0958721i \(-0.0305640\pi\)
−0.580724 + 0.814100i \(0.697231\pi\)
\(62\) −14.1102 −1.79200
\(63\) −3.52241 3.25509i −0.443782 0.410102i
\(64\) −2.29649 −0.287062
\(65\) 0.500000 + 0.866025i 0.0620174 + 0.107417i
\(66\) 21.9112 + 8.57397i 2.69709 + 1.05538i
\(67\) 7.64188 13.2361i 0.933604 1.61705i 0.156498 0.987678i \(-0.449979\pi\)
0.777105 0.629371i \(-0.216687\pi\)
\(68\) −6.75331 + 11.6971i −0.818959 + 1.41848i
\(69\) 2.73554 + 1.07043i 0.329321 + 0.128865i
\(70\) 2.01850 + 3.49614i 0.241257 + 0.417869i
\(71\) −5.56344 −0.660258 −0.330129 0.943936i \(-0.607092\pi\)
−0.330129 + 0.943936i \(0.607092\pi\)
\(72\) 17.1917 5.34105i 2.02607 0.629449i
\(73\) 11.7669 1.37721 0.688604 0.725138i \(-0.258224\pi\)
0.688604 + 0.725138i \(0.258224\pi\)
\(74\) 0.561902 + 0.973242i 0.0653197 + 0.113137i
\(75\) −1.35308 + 1.08128i −0.156240 + 0.124856i
\(76\) −8.14451 + 14.1067i −0.934239 + 1.61815i
\(77\) −4.30028 + 7.44830i −0.490062 + 0.848813i
\(78\) 0.656238 + 4.32418i 0.0743044 + 0.489617i
\(79\) 2.66045 + 4.60803i 0.299324 + 0.518444i 0.975981 0.217854i \(-0.0699056\pi\)
−0.676658 + 0.736298i \(0.736572\pi\)
\(80\) −6.40006 −0.715549
\(81\) 7.41558 5.09992i 0.823953 0.566658i
\(82\) 16.1445 1.78286
\(83\) 4.87457 + 8.44301i 0.535054 + 0.926741i 0.999161 + 0.0409616i \(0.0130421\pi\)
−0.464107 + 0.885779i \(0.653625\pi\)
\(84\) 1.81828 + 11.9813i 0.198391 + 1.30727i
\(85\) 1.54312 2.67276i 0.167375 0.289902i
\(86\) 7.14415 12.3740i 0.770374 1.33433i
\(87\) −0.867154 + 0.692968i −0.0929687 + 0.0742940i
\(88\) −16.1411 27.9572i −1.72065 2.98025i
\(89\) −15.7300 −1.66737 −0.833687 0.552237i \(-0.813774\pi\)
−0.833687 + 0.552237i \(0.813774\pi\)
\(90\) −7.23437 + 2.24754i −0.762570 + 0.236912i
\(91\) −1.59871 −0.167591
\(92\) −3.71114 6.42787i −0.386913 0.670152i
\(93\) 9.01300 + 3.52683i 0.934605 + 0.365715i
\(94\) 14.4046 24.9495i 1.48572 2.57335i
\(95\) 1.86101 3.22336i 0.190935 0.330710i
\(96\) −6.70927 2.62537i −0.684762 0.267951i
\(97\) 0.456931 + 0.791428i 0.0463943 + 0.0803573i 0.888290 0.459283i \(-0.151894\pi\)
−0.841896 + 0.539640i \(0.818560\pi\)
\(98\) 11.2221 1.13360
\(99\) −11.8529 10.9534i −1.19126 1.10086i
\(100\) 4.37640 0.437640
\(101\) −2.91268 5.04491i −0.289823 0.501988i 0.683945 0.729534i \(-0.260263\pi\)
−0.973767 + 0.227546i \(0.926930\pi\)
\(102\) 10.5449 8.42670i 1.04410 0.834368i
\(103\) 8.54446 14.7994i 0.841911 1.45823i −0.0463665 0.998924i \(-0.514764\pi\)
0.888277 0.459308i \(-0.151902\pi\)
\(104\) 3.00038 5.19682i 0.294212 0.509590i
\(105\) −0.415475 2.73771i −0.0405462 0.267173i
\(106\) −13.0154 22.5434i −1.26417 2.18961i
\(107\) 6.04979 0.584855 0.292428 0.956288i \(-0.405537\pi\)
0.292428 + 0.956288i \(0.405537\pi\)
\(108\) −22.6819 1.63059i −2.18257 0.156904i
\(109\) −3.64767 −0.349383 −0.174692 0.984623i \(-0.555893\pi\)
−0.174692 + 0.984623i \(0.555893\pi\)
\(110\) 6.79225 + 11.7645i 0.647616 + 1.12170i
\(111\) −0.115658 0.762112i −0.0109778 0.0723365i
\(112\) 5.11594 8.86106i 0.483410 0.837291i
\(113\) −6.16716 + 10.6818i −0.580158 + 1.00486i 0.415302 + 0.909683i \(0.363676\pi\)
−0.995460 + 0.0951792i \(0.969658\pi\)
\(114\) 12.7171 10.1626i 1.19107 0.951817i
\(115\) 0.847988 + 1.46876i 0.0790753 + 0.136962i
\(116\) 2.80472 0.260412
\(117\) 0.661646 2.92613i 0.0611692 0.270521i
\(118\) 23.6061 2.17312
\(119\) 2.46701 + 4.27298i 0.226150 + 0.391704i
\(120\) 9.67900 + 3.78744i 0.883568 + 0.345744i
\(121\) −8.97044 + 15.5373i −0.815495 + 1.41248i
\(122\) −8.17814 + 14.1649i −0.740414 + 1.28243i
\(123\) −10.3124 4.03529i −0.929839 0.363850i
\(124\) −12.2274 21.1784i −1.09805 1.90188i
\(125\) −1.00000 −0.0894427
\(126\) 2.67106 11.8128i 0.237957 1.05237i
\(127\) 14.2039 1.26039 0.630197 0.776435i \(-0.282974\pi\)
0.630197 + 0.776435i \(0.282974\pi\)
\(128\) −7.05910 12.2267i −0.623942 1.08070i
\(129\) −7.65625 + 6.11833i −0.674095 + 0.538689i
\(130\) −1.26258 + 2.18685i −0.110735 + 0.191799i
\(131\) −9.34730 + 16.1900i −0.816678 + 1.41453i 0.0914393 + 0.995811i \(0.470853\pi\)
−0.908117 + 0.418717i \(0.862480\pi\)
\(132\) 6.11852 + 40.3171i 0.532549 + 3.50915i
\(133\) 2.97522 + 5.15323i 0.257984 + 0.446842i
\(134\) 38.5938 3.33400
\(135\) 5.18278 + 0.372587i 0.446062 + 0.0320672i
\(136\) −18.5198 −1.58806
\(137\) −6.92932 12.0019i −0.592012 1.02539i −0.993961 0.109732i \(-0.965001\pi\)
0.401950 0.915662i \(-0.368333\pi\)
\(138\) 1.11297 + 7.33371i 0.0947419 + 0.624287i
\(139\) −3.26336 + 5.65230i −0.276794 + 0.479422i −0.970586 0.240754i \(-0.922605\pi\)
0.693792 + 0.720175i \(0.255939\pi\)
\(140\) −3.49830 + 6.05924i −0.295661 + 0.512099i
\(141\) −15.4371 + 12.3363i −1.30004 + 1.03890i
\(142\) −7.02426 12.1664i −0.589463 1.02098i
\(143\) −5.37967 −0.449871
\(144\) 14.1011 + 13.0310i 1.17509 + 1.08591i
\(145\) −0.640875 −0.0532217
\(146\) 14.8566 + 25.7323i 1.22954 + 2.12962i
\(147\) −7.16818 2.80494i −0.591221 0.231348i
\(148\) −0.973844 + 1.68675i −0.0800495 + 0.138650i
\(149\) 5.88878 10.1997i 0.482427 0.835589i −0.517369 0.855762i \(-0.673089\pi\)
0.999796 + 0.0201737i \(0.00642192\pi\)
\(150\) −4.07297 1.59377i −0.332557 0.130131i
\(151\) 4.79569 + 8.30638i 0.390268 + 0.675964i 0.992485 0.122369i \(-0.0390491\pi\)
−0.602217 + 0.798332i \(0.705716\pi\)
\(152\) −22.3350 −1.81160
\(153\) −8.84185 + 2.74695i −0.714821 + 0.222077i
\(154\) −21.7177 −1.75006
\(155\) 2.79393 + 4.83923i 0.224414 + 0.388697i
\(156\) −5.92161 + 4.73213i −0.474108 + 0.378874i
\(157\) −3.96466 + 6.86698i −0.316414 + 0.548045i −0.979737 0.200288i \(-0.935812\pi\)
0.663323 + 0.748333i \(0.269146\pi\)
\(158\) −6.71804 + 11.6360i −0.534458 + 0.925709i
\(159\) 2.67902 + 17.6530i 0.212460 + 1.39997i
\(160\) −2.07980 3.60232i −0.164423 0.284789i
\(161\) −2.71138 −0.213687
\(162\) 20.5155 + 9.77770i 1.61185 + 0.768209i
\(163\) −2.74092 −0.214685 −0.107343 0.994222i \(-0.534234\pi\)
−0.107343 + 0.994222i \(0.534234\pi\)
\(164\) 13.9902 + 24.2317i 1.09245 + 1.89218i
\(165\) −1.39807 9.21239i −0.108840 0.717183i
\(166\) −12.3090 + 21.3199i −0.955367 + 1.65474i
\(167\) 8.88551 15.3902i 0.687582 1.19093i −0.285036 0.958517i \(-0.592006\pi\)
0.972618 0.232410i \(-0.0746610\pi\)
\(168\) −12.9808 + 10.3733i −1.00149 + 0.800319i
\(169\) −0.500000 0.866025i −0.0384615 0.0666173i
\(170\) 7.79323 0.597714
\(171\) −10.6633 + 3.31282i −0.815442 + 0.253338i
\(172\) 24.7634 1.88819
\(173\) −5.28655 9.15657i −0.401929 0.696161i 0.592030 0.805916i \(-0.298327\pi\)
−0.993959 + 0.109755i \(0.964993\pi\)
\(174\) −2.61026 1.02141i −0.197884 0.0774327i
\(175\) 0.799357 1.38453i 0.0604257 0.104660i
\(176\) 17.2151 29.8175i 1.29764 2.24758i
\(177\) −15.0786 5.90032i −1.13338 0.443495i
\(178\) −19.8603 34.3990i −1.48859 2.57832i
\(179\) 5.47435 0.409172 0.204586 0.978849i \(-0.434415\pi\)
0.204586 + 0.978849i \(0.434415\pi\)
\(180\) −9.64242 8.91064i −0.718704 0.664160i
\(181\) −1.35324 −0.100585 −0.0502927 0.998735i \(-0.516015\pi\)
−0.0502927 + 0.998735i \(0.516015\pi\)
\(182\) −2.01850 3.49614i −0.149621 0.259151i
\(183\) 8.76435 7.00385i 0.647880 0.517739i
\(184\) 5.08858 8.81368i 0.375135 0.649753i
\(185\) 0.222522 0.385419i 0.0163601 0.0283366i
\(186\) 3.66697 + 24.1630i 0.268876 + 1.77171i
\(187\) 8.30149 + 14.3786i 0.607065 + 1.05147i
\(188\) 49.9299 3.64151
\(189\) −4.65875 + 6.87786i −0.338874 + 0.500291i
\(190\) 9.39866 0.681850
\(191\) −1.83277 3.17445i −0.132615 0.229695i 0.792069 0.610431i \(-0.209004\pi\)
−0.924684 + 0.380736i \(0.875671\pi\)
\(192\) 0.596814 + 3.93262i 0.0430714 + 0.283812i
\(193\) 4.37529 7.57823i 0.314940 0.545493i −0.664484 0.747302i \(-0.731349\pi\)
0.979425 + 0.201809i \(0.0646821\pi\)
\(194\) −1.15382 + 1.99848i −0.0828395 + 0.143482i
\(195\) 1.35308 1.08128i 0.0968960 0.0774324i
\(196\) 9.72461 + 16.8435i 0.694615 + 1.20311i
\(197\) −9.50585 −0.677264 −0.338632 0.940919i \(-0.609964\pi\)
−0.338632 + 0.940919i \(0.609964\pi\)
\(198\) 8.98813 39.7500i 0.638758 2.82491i
\(199\) 25.5829 1.81353 0.906763 0.421640i \(-0.138545\pi\)
0.906763 + 0.421640i \(0.138545\pi\)
\(200\) 3.00038 + 5.19682i 0.212159 + 0.367471i
\(201\) −24.6521 9.64647i −1.73882 0.680409i
\(202\) 7.35497 12.7392i 0.517494 0.896326i
\(203\) 0.512288 0.887308i 0.0359555 0.0622768i
\(204\) 21.7856 + 8.52482i 1.52530 + 0.596857i
\(205\) −3.19674 5.53691i −0.223270 0.386715i
\(206\) 43.1521 3.00655
\(207\) 1.12214 4.96265i 0.0779939 0.344928i
\(208\) 6.40006 0.443765
\(209\) 10.0116 + 17.3406i 0.692518 + 1.19948i
\(210\) 5.46238 4.36514i 0.376940 0.301224i
\(211\) 2.59044 4.48678i 0.178333 0.308882i −0.762976 0.646426i \(-0.776263\pi\)
0.941310 + 0.337544i \(0.109596\pi\)
\(212\) 22.5574 39.0705i 1.54925 2.68337i
\(213\) 1.44583 + 9.52707i 0.0990666 + 0.652784i
\(214\) 7.63832 + 13.2300i 0.522145 + 0.904381i
\(215\) −5.65839 −0.385899
\(216\) −13.6141 28.0519i −0.926319 1.90869i
\(217\) −8.93340 −0.606439
\(218\) −4.60546 7.97689i −0.311921 0.540263i
\(219\) −3.05798 20.1501i −0.206639 1.36162i
\(220\) −11.7718 + 20.3893i −0.793654 + 1.37465i
\(221\) −1.54312 + 2.67276i −0.103802 + 0.179790i
\(222\) 1.52059 1.21515i 0.102056 0.0815556i
\(223\) −7.52975 13.0419i −0.504230 0.873351i −0.999988 0.00489073i \(-0.998443\pi\)
0.495759 0.868460i \(-0.334890\pi\)
\(224\) 6.65001 0.444323
\(225\) 2.20328 + 2.03607i 0.146885 + 0.135738i
\(226\) −31.1461 −2.07180
\(227\) −10.8699 18.8272i −0.721459 1.24960i −0.960415 0.278573i \(-0.910139\pi\)
0.238956 0.971030i \(-0.423195\pi\)
\(228\) 26.2735 + 10.2810i 1.74001 + 0.680873i
\(229\) −13.5876 + 23.5344i −0.897892 + 1.55520i −0.0677090 + 0.997705i \(0.521569\pi\)
−0.830183 + 0.557490i \(0.811764\pi\)
\(230\) −2.14130 + 3.70884i −0.141193 + 0.244554i
\(231\) 13.8724 + 5.42831i 0.912734 + 0.357157i
\(232\) 1.92287 + 3.33051i 0.126243 + 0.218659i
\(233\) 24.1372 1.58128 0.790641 0.612280i \(-0.209747\pi\)
0.790641 + 0.612280i \(0.209747\pi\)
\(234\) 7.23437 2.24754i 0.472926 0.146926i
\(235\) −11.4089 −0.744235
\(236\) 20.4562 + 35.4311i 1.33158 + 2.30637i
\(237\) 7.19959 5.75340i 0.467664 0.373724i
\(238\) −6.22957 + 10.7899i −0.403803 + 0.699408i
\(239\) −8.64007 + 14.9650i −0.558879 + 0.968008i 0.438711 + 0.898628i \(0.355435\pi\)
−0.997590 + 0.0693793i \(0.977898\pi\)
\(240\) 1.66325 + 10.9597i 0.107363 + 0.707449i
\(241\) 8.28251 + 14.3457i 0.533523 + 0.924090i 0.999233 + 0.0391522i \(0.0124657\pi\)
−0.465710 + 0.884938i \(0.654201\pi\)
\(242\) −45.3035 −2.91222
\(243\) −10.6605 11.3734i −0.683871 0.729603i
\(244\) −28.3474 −1.81476
\(245\) −2.22206 3.84872i −0.141962 0.245885i
\(246\) −4.19564 27.6465i −0.267504 1.76268i
\(247\) −1.86101 + 3.22336i −0.118413 + 0.205097i
\(248\) 16.7657 29.0391i 1.06463 1.84399i
\(249\) 13.1914 10.5416i 0.835969 0.668047i
\(250\) −1.26258 2.18685i −0.0798524 0.138308i
\(251\) 10.2182 0.644965 0.322482 0.946575i \(-0.395483\pi\)
0.322482 + 0.946575i \(0.395483\pi\)
\(252\) 20.0448 6.22741i 1.26270 0.392290i
\(253\) −9.12380 −0.573608
\(254\) 17.9335 + 31.0618i 1.12525 + 1.94899i
\(255\) −4.97798 1.94791i −0.311733 0.121983i
\(256\) 15.5288 26.8967i 0.970551 1.68104i
\(257\) −14.2157 + 24.6224i −0.886754 + 1.53590i −0.0430639 + 0.999072i \(0.513712\pi\)
−0.843690 + 0.536831i \(0.819621\pi\)
\(258\) −23.0465 9.01818i −1.43481 0.561448i
\(259\) 0.355749 + 0.616175i 0.0221051 + 0.0382872i
\(260\) −4.37640 −0.271413
\(261\) 1.41203 + 1.30486i 0.0874022 + 0.0807690i
\(262\) −47.2067 −2.91644
\(263\) −6.62365 11.4725i −0.408432 0.707425i 0.586282 0.810107i \(-0.300591\pi\)
−0.994714 + 0.102682i \(0.967258\pi\)
\(264\) −43.6803 + 34.9062i −2.68834 + 2.14833i
\(265\) −5.15432 + 8.92754i −0.316627 + 0.548415i
\(266\) −7.51288 + 13.0127i −0.460644 + 0.797859i
\(267\) 4.08792 + 26.9367i 0.250176 + 1.64850i
\(268\) 33.4439 + 57.9265i 2.04291 + 3.53842i
\(269\) −20.2913 −1.23718 −0.618590 0.785714i \(-0.712296\pi\)
−0.618590 + 0.785714i \(0.712296\pi\)
\(270\) 5.72886 + 11.8044i 0.348647 + 0.718390i
\(271\) −7.28275 −0.442396 −0.221198 0.975229i \(-0.570997\pi\)
−0.221198 + 0.975229i \(0.570997\pi\)
\(272\) −9.87607 17.1059i −0.598825 1.03719i
\(273\) 0.415475 + 2.73771i 0.0251457 + 0.165694i
\(274\) 17.4976 30.3067i 1.05707 1.83090i
\(275\) 2.68984 4.65893i 0.162203 0.280944i
\(276\) −10.0429 + 8.02559i −0.604513 + 0.483084i
\(277\) −6.87279 11.9040i −0.412946 0.715244i 0.582264 0.813000i \(-0.302167\pi\)
−0.995210 + 0.0977558i \(0.968834\pi\)
\(278\) −16.4809 −0.988461
\(279\) 3.69719 16.3508i 0.221345 0.978898i
\(280\) −9.59351 −0.573322
\(281\) 0.451460 + 0.781952i 0.0269318 + 0.0466473i 0.879177 0.476495i \(-0.158093\pi\)
−0.852245 + 0.523142i \(0.824760\pi\)
\(282\) −46.4681 18.1832i −2.76714 1.08279i
\(283\) 13.9264 24.1212i 0.827836 1.43385i −0.0718962 0.997412i \(-0.522905\pi\)
0.899732 0.436442i \(-0.143762\pi\)
\(284\) 12.1739 21.0858i 0.722388 1.25121i
\(285\) −6.00346 2.34918i −0.355614 0.139153i
\(286\) −6.79225 11.7645i −0.401634 0.695651i
\(287\) 10.2213 0.603346
\(288\) −2.75218 + 12.1715i −0.162174 + 0.717214i
\(289\) −7.47511 −0.439713
\(290\) −0.809153 1.40149i −0.0475151 0.0822986i
\(291\) 1.23653 0.988146i 0.0724866 0.0579261i
\(292\) −25.7482 + 44.5973i −1.50680 + 2.60986i
\(293\) 1.62563 2.81568i 0.0949706 0.164494i −0.814626 0.579987i \(-0.803058\pi\)
0.909596 + 0.415493i \(0.136391\pi\)
\(294\) −2.91640 19.2172i −0.170088 1.12077i
\(295\) −4.67420 8.09595i −0.272142 0.471364i
\(296\) −2.67060 −0.155226
\(297\) −15.6767 + 23.1440i −0.909653 + 1.34295i
\(298\) 29.7401 1.72280
\(299\) −0.847988 1.46876i −0.0490404 0.0849405i
\(300\) −1.13734 7.49433i −0.0656644 0.432686i
\(301\) 4.52307 7.83419i 0.260706 0.451555i
\(302\) −12.1099 + 20.9749i −0.696844 + 1.20697i
\(303\) −7.88218 + 6.29888i −0.452819 + 0.361861i
\(304\) −11.9106 20.6297i −0.683118 1.18319i
\(305\) 6.47734 0.370891
\(306\) −17.1707 15.8675i −0.981581 0.907087i
\(307\) 23.0790 1.31719 0.658593 0.752499i \(-0.271152\pi\)
0.658593 + 0.752499i \(0.271152\pi\)
\(308\) −18.8197 32.5967i −1.07235 1.85737i
\(309\) −27.5637 10.7858i −1.56805 0.613584i
\(310\) −7.05511 + 12.2198i −0.400703 + 0.694038i
\(311\) −3.23713 + 5.60687i −0.183561 + 0.317936i −0.943091 0.332536i \(-0.892096\pi\)
0.759530 + 0.650472i \(0.225429\pi\)
\(312\) −9.67900 3.78744i −0.547965 0.214421i
\(313\) −3.92191 6.79296i −0.221680 0.383961i 0.733638 0.679540i \(-0.237821\pi\)
−0.955318 + 0.295580i \(0.904487\pi\)
\(314\) −20.0227 −1.12995
\(315\) −4.58019 + 1.42295i −0.258065 + 0.0801744i
\(316\) −23.2864 −1.30996
\(317\) 15.8696 + 27.4870i 0.891326 + 1.54382i 0.838287 + 0.545230i \(0.183558\pi\)
0.0530394 + 0.998592i \(0.483109\pi\)
\(318\) −35.2219 + 28.1468i −1.97514 + 1.57839i
\(319\) 1.72385 2.98579i 0.0965170 0.167172i
\(320\) −1.14825 + 1.98882i −0.0641889 + 0.111179i
\(321\) −1.57222 10.3599i −0.0877529 0.578234i
\(322\) −3.42333 5.92938i −0.190775 0.330431i
\(323\) 11.4870 0.639156
\(324\) 3.10229 + 39.2652i 0.172350 + 2.18140i
\(325\) 1.00000 0.0554700
\(326\) −3.46062 5.99396i −0.191666 0.331975i
\(327\) 0.947958 + 6.24642i 0.0524222 + 0.345428i
\(328\) −19.1829 + 33.2257i −1.05920 + 1.83458i
\(329\) 9.11979 15.7959i 0.502790 0.870858i
\(330\) 18.3809 14.6887i 1.01184 0.808587i
\(331\) −9.05397 15.6819i −0.497651 0.861958i 0.502345 0.864667i \(-0.332471\pi\)
−0.999996 + 0.00270979i \(0.999137\pi\)
\(332\) −42.6662 −2.34161
\(333\) −1.27502 + 0.396116i −0.0698704 + 0.0217070i
\(334\) 44.8746 2.45543
\(335\) −7.64188 13.2361i −0.417520 0.723166i
\(336\) −16.5036 6.45793i −0.900345 0.352309i
\(337\) 7.48318 12.9613i 0.407635 0.706044i −0.586989 0.809595i \(-0.699687\pi\)
0.994624 + 0.103550i \(0.0330203\pi\)
\(338\) 1.26258 2.18685i 0.0686751 0.118949i
\(339\) 19.8948 + 7.78491i 1.08054 + 0.422818i
\(340\) 6.75331 + 11.6971i 0.366250 + 0.634363i
\(341\) −30.0609 −1.62789
\(342\) −20.7079 19.1363i −1.11975 1.03477i
\(343\) 18.2959 0.987884
\(344\) 16.9773 + 29.4056i 0.915357 + 1.58545i
\(345\) 2.29479 1.83383i 0.123547 0.0987303i
\(346\) 13.3493 23.1217i 0.717665 1.24303i
\(347\) −5.90574 + 10.2290i −0.317037 + 0.549124i −0.979868 0.199645i \(-0.936021\pi\)
0.662831 + 0.748769i \(0.269355\pi\)
\(348\) −0.728893 4.80293i −0.0390728 0.257464i
\(349\) 11.6750 + 20.2217i 0.624949 + 1.08244i 0.988551 + 0.150889i \(0.0482137\pi\)
−0.363602 + 0.931555i \(0.618453\pi\)
\(350\) 4.03700 0.215787
\(351\) −5.18278 0.372587i −0.276636 0.0198872i
\(352\) 22.3773 1.19271
\(353\) −6.78898 11.7589i −0.361341 0.625861i 0.626841 0.779147i \(-0.284348\pi\)
−0.988182 + 0.153286i \(0.951014\pi\)
\(354\) −6.13478 40.4242i −0.326060 2.14852i
\(355\) −2.78172 + 4.81808i −0.147638 + 0.255717i
\(356\) 34.4203 59.6177i 1.82427 3.15973i
\(357\) 6.67612 5.33508i 0.353337 0.282362i
\(358\) 6.91178 + 11.9716i 0.365299 + 0.632716i
\(359\) −5.90809 −0.311817 −0.155908 0.987772i \(-0.549830\pi\)
−0.155908 + 0.987772i \(0.549830\pi\)
\(360\) 3.97038 17.5590i 0.209258 0.925441i
\(361\) −5.14660 −0.270874
\(362\) −1.70857 2.95932i −0.0898003 0.155539i
\(363\) 28.9379 + 11.3235i 1.51885 + 0.594332i
\(364\) 3.49830 6.05924i 0.183361 0.317590i
\(365\) 5.88343 10.1904i 0.307953 0.533390i
\(366\) 26.3820 + 10.3234i 1.37901 + 0.539613i
\(367\) 1.22318 + 2.11861i 0.0638494 + 0.110590i 0.896183 0.443685i \(-0.146329\pi\)
−0.832334 + 0.554275i \(0.812996\pi\)
\(368\) 10.8544 0.565823
\(369\) −4.23022 + 18.7081i −0.220216 + 0.973906i
\(370\) 1.12380 0.0584237
\(371\) −8.24028 14.2726i −0.427814 0.740996i
\(372\) −33.0892 + 26.4425i −1.71559 + 1.37098i
\(373\) 4.09993 7.10128i 0.212286 0.367690i −0.740143 0.672449i \(-0.765242\pi\)
0.952430 + 0.304759i \(0.0985758\pi\)
\(374\) −20.9625 + 36.3082i −1.08395 + 1.87745i
\(375\) 0.259881 + 1.71244i 0.0134202 + 0.0884302i
\(376\) 34.2311 + 59.2900i 1.76533 + 3.05765i
\(377\) 0.640875 0.0330067
\(378\) −20.9229 1.50413i −1.07616 0.0773643i
\(379\) −0.155663 −0.00799586 −0.00399793 0.999992i \(-0.501273\pi\)
−0.00399793 + 0.999992i \(0.501273\pi\)
\(380\) 8.14451 + 14.1067i 0.417805 + 0.723659i
\(381\) −3.69133 24.3234i −0.189112 1.24613i
\(382\) 4.62802 8.01597i 0.236790 0.410133i
\(383\) −8.30317 + 14.3815i −0.424272 + 0.734861i −0.996352 0.0853368i \(-0.972803\pi\)
0.572080 + 0.820198i \(0.306137\pi\)
\(384\) −19.1030 + 15.2658i −0.974848 + 0.779030i
\(385\) 4.30028 + 7.44830i 0.219163 + 0.379601i
\(386\) 22.0966 1.12469
\(387\) 12.4670 + 11.5209i 0.633734 + 0.585638i
\(388\) −3.99943 −0.203040
\(389\) −10.4497 18.0994i −0.529819 0.917674i −0.999395 0.0347817i \(-0.988926\pi\)
0.469576 0.882892i \(-0.344407\pi\)
\(390\) 4.07297 + 1.59377i 0.206243 + 0.0807038i
\(391\) −2.61710 + 4.53295i −0.132352 + 0.229241i
\(392\) −13.3341 + 23.0953i −0.673471 + 1.16649i
\(393\) 30.1536 + 11.7993i 1.52105 + 0.595194i
\(394\) −12.0019 20.7878i −0.604645 1.04728i
\(395\) 5.32090 0.267723
\(396\) 67.4506 20.9553i 3.38952 1.05304i
\(397\) −15.5139 −0.778618 −0.389309 0.921107i \(-0.627286\pi\)
−0.389309 + 0.921107i \(0.627286\pi\)
\(398\) 32.3004 + 55.9460i 1.61907 + 2.80432i
\(399\) 8.05141 6.43412i 0.403075 0.322109i
\(400\) −3.20003 + 5.54262i −0.160002 + 0.277131i
\(401\) −16.8282 + 29.1473i −0.840360 + 1.45555i 0.0492298 + 0.998787i \(0.484323\pi\)
−0.889590 + 0.456759i \(0.849010\pi\)
\(402\) −10.0298 66.0897i −0.500240 3.29626i
\(403\) −2.79393 4.83923i −0.139176 0.241059i
\(404\) 25.4941 1.26838
\(405\) −0.708869 8.97204i −0.0352240 0.445824i
\(406\) 2.58721 0.128401
\(407\) 1.19709 + 2.07343i 0.0593378 + 0.102776i
\(408\) 4.81294 + 31.7141i 0.238276 + 1.57008i
\(409\) −10.0723 + 17.4458i −0.498044 + 0.862638i −0.999997 0.00225691i \(-0.999282\pi\)
0.501953 + 0.864895i \(0.332615\pi\)
\(410\) 8.07225 13.9815i 0.398660 0.690499i
\(411\) −18.7518 + 14.9851i −0.924960 + 0.739162i
\(412\) 37.3940 + 64.7682i 1.84227 + 3.19090i
\(413\) 14.9454 0.735416
\(414\) 12.2693 3.81178i 0.603005 0.187339i
\(415\) 9.74915 0.478567
\(416\) 2.07980 + 3.60232i 0.101971 + 0.176618i
\(417\) 10.5273 + 4.11939i 0.515525 + 0.201727i
\(418\) −25.2809 + 43.7877i −1.23653 + 2.14173i
\(419\) 16.7215 28.9625i 0.816898 1.41491i −0.0910582 0.995846i \(-0.529025\pi\)
0.907957 0.419064i \(-0.137642\pi\)
\(420\) 11.2852 + 4.41597i 0.550664 + 0.215477i
\(421\) −13.1682 22.8081i −0.641781 1.11160i −0.985035 0.172355i \(-0.944862\pi\)
0.343254 0.939243i \(-0.388471\pi\)
\(422\) 13.0825 0.636847
\(423\) 25.1370 + 23.2293i 1.22220 + 1.12945i
\(424\) 61.8598 3.00418
\(425\) −1.54312 2.67276i −0.0748524 0.129648i
\(426\) −19.0088 + 15.1905i −0.920978 + 0.735980i
\(427\) −5.17771 + 8.96805i −0.250567 + 0.433994i
\(428\) −13.2381 + 22.9291i −0.639890 + 1.10832i
\(429\) 1.39807 + 9.21239i 0.0674996 + 0.444778i
\(430\) −7.14415 12.3740i −0.344522 0.596729i
\(431\) 10.7108 0.515922 0.257961 0.966155i \(-0.416949\pi\)
0.257961 + 0.966155i \(0.416949\pi\)
\(432\) 18.6502 27.5339i 0.897306 1.32472i
\(433\) −10.5665 −0.507795 −0.253898 0.967231i \(-0.581713\pi\)
−0.253898 + 0.967231i \(0.581713\pi\)
\(434\) −11.2791 19.5360i −0.541414 0.937757i
\(435\) 0.166551 + 1.09746i 0.00798551 + 0.0526193i
\(436\) 7.98182 13.8249i 0.382260 0.662094i
\(437\) −3.15623 + 5.46674i −0.150983 + 0.261510i
\(438\) 40.2042 32.1284i 1.92103 1.53515i
\(439\) 16.9499 + 29.3581i 0.808975 + 1.40119i 0.913574 + 0.406672i \(0.133311\pi\)
−0.104599 + 0.994514i \(0.533356\pi\)
\(440\) −32.2822 −1.53899
\(441\) −2.94043 + 13.0040i −0.140020 + 0.619240i
\(442\) −7.79323 −0.370686
\(443\) −14.7155 25.4881i −0.699157 1.21097i −0.968759 0.248003i \(-0.920226\pi\)
0.269603 0.962972i \(-0.413108\pi\)
\(444\) 3.14154 + 1.22930i 0.149091 + 0.0583400i
\(445\) −7.86499 + 13.6226i −0.372836 + 0.645771i
\(446\) 19.0138 32.9328i 0.900328 1.55941i
\(447\) −18.9967 7.43350i −0.898514 0.351593i
\(448\) −1.83572 3.17956i −0.0867295 0.150220i
\(449\) 37.6658 1.77756 0.888780 0.458335i \(-0.151554\pi\)
0.888780 + 0.458335i \(0.151554\pi\)
\(450\) −1.67076 + 7.38892i −0.0787603 + 0.348317i
\(451\) 34.3948 1.61959
\(452\) −26.9900 46.7480i −1.26950 2.19884i
\(453\) 12.9779 10.3710i 0.609755 0.487273i
\(454\) 27.4481 47.5415i 1.28820 2.23123i
\(455\) −0.799357 + 1.38453i −0.0374744 + 0.0649076i
\(456\) 5.80442 + 38.2473i 0.271817 + 1.79110i
\(457\) 15.9738 + 27.6674i 0.747223 + 1.29423i 0.949149 + 0.314827i \(0.101947\pi\)
−0.201926 + 0.979401i \(0.564720\pi\)
\(458\) −68.6214 −3.20647
\(459\) 7.00181 + 14.4273i 0.326817 + 0.673408i
\(460\) −7.42227 −0.346065
\(461\) 7.01569 + 12.1515i 0.326753 + 0.565953i 0.981866 0.189578i \(-0.0607121\pi\)
−0.655112 + 0.755531i \(0.727379\pi\)
\(462\) 5.64402 + 37.1904i 0.262583 + 1.73025i
\(463\) −20.4647 + 35.4460i −0.951077 + 1.64731i −0.207976 + 0.978134i \(0.566688\pi\)
−0.743101 + 0.669180i \(0.766646\pi\)
\(464\) −2.05082 + 3.55212i −0.0952069 + 0.164903i
\(465\) 7.56083 6.04208i 0.350625 0.280195i
\(466\) 30.4751 + 52.7844i 1.41173 + 2.44519i
\(467\) −4.20484 −0.194577 −0.0972884 0.995256i \(-0.531017\pi\)
−0.0972884 + 0.995256i \(0.531017\pi\)
\(468\) 9.64242 + 8.91064i 0.445721 + 0.411894i
\(469\) 24.4343 1.12827
\(470\) −14.4046 24.9495i −0.664435 1.15084i
\(471\) 12.7897 + 5.00465i 0.589316 + 0.230602i
\(472\) −28.0488 + 48.5819i −1.29105 + 2.23616i
\(473\) 15.2201 26.3621i 0.699823 1.21213i
\(474\) 21.6718 + 8.48029i 0.995421 + 0.389513i
\(475\) −1.86101 3.22336i −0.0853889 0.147898i
\(476\) −21.5932 −0.989724
\(477\) 29.5335 9.17533i 1.35224 0.420109i
\(478\) −43.6350 −1.99582
\(479\) −13.2705 22.9851i −0.606344 1.05022i −0.991838 0.127507i \(-0.959302\pi\)
0.385494 0.922710i \(-0.374031\pi\)
\(480\) −5.62827 + 4.49772i −0.256894 + 0.205292i
\(481\) −0.222522 + 0.385419i −0.0101461 + 0.0175736i
\(482\) −20.9146 + 36.2252i −0.952634 + 1.65001i
\(483\) 0.704636 + 4.64309i 0.0320620 + 0.211268i
\(484\) −39.2582 67.9972i −1.78446 3.09078i
\(485\) 0.913862 0.0414963
\(486\) 11.4122 37.6726i 0.517667 1.70887i
\(487\) 29.2682 1.32627 0.663135 0.748500i \(-0.269225\pi\)
0.663135 + 0.748500i \(0.269225\pi\)
\(488\) −19.4345 33.6616i −0.879759 1.52379i
\(489\) 0.712311 + 4.69366i 0.0322118 + 0.212255i
\(490\) 5.61103 9.71860i 0.253481 0.439041i
\(491\) −11.4610 + 19.8511i −0.517229 + 0.895867i 0.482570 + 0.875857i \(0.339703\pi\)
−0.999800 + 0.0200103i \(0.993630\pi\)
\(492\) 37.8597 30.2548i 1.70685 1.36399i
\(493\) −0.988947 1.71291i −0.0445399 0.0771454i
\(494\) −9.39866 −0.422866
\(495\) −15.4124 + 4.78824i −0.692734 + 0.215215i
\(496\) 35.7627 1.60579
\(497\) −4.44717 7.70273i −0.199483 0.345514i
\(498\) 39.7080 + 15.5379i 1.77936 + 0.696271i
\(499\) −2.93038 + 5.07556i −0.131182 + 0.227213i −0.924132 0.382072i \(-0.875210\pi\)
0.792951 + 0.609286i \(0.208544\pi\)
\(500\) 2.18820 3.79007i 0.0978592 0.169497i
\(501\) −28.6640 11.2163i −1.28061 0.501109i
\(502\) 12.9012 + 22.3456i 0.575809 + 0.997331i
\(503\) 0.171544 0.00764877 0.00382439 0.999993i \(-0.498783\pi\)
0.00382439 + 0.999993i \(0.498783\pi\)
\(504\) 21.1372 + 19.5330i 0.941525 + 0.870070i
\(505\) −5.82536 −0.259225
\(506\) −11.5195 19.9524i −0.512104 0.886990i
\(507\) −1.35308 + 1.08128i −0.0600924 + 0.0480215i
\(508\) −31.0810 + 53.8339i −1.37900 + 2.38849i
\(509\) 18.2170 31.5528i 0.807454 1.39855i −0.107167 0.994241i \(-0.534178\pi\)
0.914622 0.404311i \(-0.132489\pi\)
\(510\) −2.02531 13.3455i −0.0896823 0.590947i
\(511\) 9.40593 + 16.2915i 0.416094 + 0.720696i
\(512\) 50.1889 2.21806
\(513\) 8.44421 + 17.3993i 0.372821 + 0.768200i
\(514\) −71.7939 −3.16669
\(515\) −8.54446 14.7994i −0.376514 0.652141i
\(516\) −6.43552 42.4059i −0.283308 1.86681i
\(517\) 30.6881 53.1533i 1.34966 2.33768i
\(518\) −0.898320 + 1.55594i −0.0394699 + 0.0683639i
\(519\) −14.3062 + 11.4325i −0.627974 + 0.501832i
\(520\) −3.00038 5.19682i −0.131576 0.227896i
\(521\) 6.99027 0.306249 0.153125 0.988207i \(-0.451066\pi\)
0.153125 + 0.988207i \(0.451066\pi\)
\(522\) −1.07075 + 4.73537i −0.0468653 + 0.207262i
\(523\) 10.2358 0.447579 0.223790 0.974637i \(-0.428157\pi\)
0.223790 + 0.974637i \(0.428157\pi\)
\(524\) −40.9075 70.8539i −1.78705 3.09527i
\(525\) −2.57866 1.00904i −0.112542 0.0440382i
\(526\) 16.7257 28.9698i 0.729277 1.26314i
\(527\) −8.62275 + 14.9350i −0.375613 + 0.650581i
\(528\) −55.5346 21.7309i −2.41683 0.945718i
\(529\) 10.0618 + 17.4276i 0.437471 + 0.757722i
\(530\) −26.0309 −1.13071
\(531\) −6.18533 + 27.3546i −0.268420 + 1.18709i
\(532\) −26.0415 −1.12904
\(533\) 3.19674 + 5.53691i 0.138466 + 0.239830i
\(534\) −53.7451 + 42.9493i −2.32578 + 1.85860i
\(535\) 3.02489 5.23927i 0.130778 0.226513i
\(536\) −45.8571 + 79.4269i −1.98073 + 3.43072i
\(537\) −1.42268 9.37451i −0.0613930 0.404540i
\(538\) −25.6193 44.3739i −1.10453 1.91309i
\(539\) 23.9079 1.02979
\(540\) −12.7531 + 18.8278i −0.548805 + 0.810220i
\(541\) −14.1128 −0.606755 −0.303378 0.952870i \(-0.598114\pi\)
−0.303378 + 0.952870i \(0.598114\pi\)
\(542\) −9.19503 15.9263i −0.394960 0.684092i
\(543\) 0.351680 + 2.31734i 0.0150920 + 0.0994467i
\(544\) 6.41877 11.1176i 0.275202 0.476665i
\(545\) −1.82383 + 3.15897i −0.0781244 + 0.135316i
\(546\) −5.46238 + 4.36514i −0.233768 + 0.186811i
\(547\) 3.24835 + 5.62631i 0.138890 + 0.240564i 0.927077 0.374872i \(-0.122313\pi\)
−0.788187 + 0.615436i \(0.788980\pi\)
\(548\) 60.6509 2.59088
\(549\) −14.2714 13.1883i −0.609088 0.562863i
\(550\) 13.5845 0.579245
\(551\) −1.19267 2.06577i −0.0508096 0.0880047i
\(552\) −16.4154 6.42340i −0.698684 0.273398i
\(553\) −4.25329 + 7.36692i −0.180868 + 0.313273i
\(554\) 17.3549 30.0595i 0.737337 1.27711i
\(555\) −0.717837 0.280893i −0.0304705 0.0119232i
\(556\) −14.2817 24.7367i −0.605681 1.04907i
\(557\) 13.7471 0.582483 0.291242 0.956650i \(-0.405932\pi\)
0.291242 + 0.956650i \(0.405932\pi\)
\(558\) 40.4247 12.5590i 1.71131 0.531663i
\(559\) 5.65839 0.239324
\(560\) −5.11594 8.86106i −0.216188 0.374448i
\(561\) 22.4651 17.9525i 0.948479 0.757957i
\(562\) −1.14001 + 1.97455i −0.0480882 + 0.0832913i
\(563\) −0.645415 + 1.11789i −0.0272010 + 0.0471135i −0.879305 0.476258i \(-0.841993\pi\)
0.852104 + 0.523372i \(0.175326\pi\)
\(564\) −12.9758 85.5021i −0.546380 3.60029i
\(565\) 6.16716 + 10.6818i 0.259454 + 0.449388i
\(566\) 70.3324 2.95629
\(567\) 12.9887 + 6.19041i 0.545473 + 0.259973i
\(568\) 33.3849 1.40080
\(569\) −5.81243 10.0674i −0.243670 0.422048i 0.718087 0.695953i \(-0.245018\pi\)
−0.961757 + 0.273905i \(0.911685\pi\)
\(570\) −2.44253 16.0947i −0.102306 0.674132i
\(571\) 8.88874 15.3958i 0.371982 0.644292i −0.617888 0.786266i \(-0.712012\pi\)
0.989870 + 0.141974i \(0.0453449\pi\)
\(572\) 11.7718 20.3893i 0.492203 0.852521i
\(573\) −4.95976 + 3.96349i −0.207197 + 0.165577i
\(574\) 12.9052 + 22.3525i 0.538653 + 0.932975i
\(575\) 1.69598 0.0707271
\(576\) 6.57928 2.04402i 0.274137 0.0851675i
\(577\) −30.0210 −1.24979 −0.624896 0.780708i \(-0.714859\pi\)
−0.624896 + 0.780708i \(0.714859\pi\)
\(578\) −9.43790 16.3469i −0.392565 0.679942i
\(579\) −14.1143 5.52300i −0.586572 0.229528i
\(580\) 1.40236 2.42896i 0.0582299 0.100857i
\(581\) −7.79305 + 13.4980i −0.323310 + 0.559990i
\(582\) 3.72213 + 1.45649i 0.154287 + 0.0603734i
\(583\) −27.7286 48.0273i −1.14840 1.98909i
\(584\) −70.6103 −2.92187
\(585\) −2.20328 2.03607i −0.0910943 0.0841810i
\(586\) 8.20995 0.339150
\(587\) 1.10857 + 1.92010i 0.0457556 + 0.0792510i 0.887996 0.459851i \(-0.152097\pi\)
−0.842241 + 0.539102i \(0.818764\pi\)
\(588\) 26.3163 21.0301i 1.08527 0.867268i
\(589\) −10.3991 + 18.0117i −0.428486 + 0.742159i
\(590\) 11.8031 20.4435i 0.485925 0.841646i
\(591\) 2.47039 + 16.2782i 0.101618 + 0.669597i
\(592\) −1.42415 2.46671i −0.0585323 0.101381i
\(593\) 15.6211 0.641483 0.320742 0.947167i \(-0.396068\pi\)
0.320742 + 0.947167i \(0.396068\pi\)
\(594\) −70.4054 5.06141i −2.88877 0.207672i
\(595\) 4.93402 0.202275
\(596\) 25.7716 + 44.6378i 1.05565 + 1.82843i
\(597\) −6.64851 43.8093i −0.272105 1.79300i
\(598\) 2.14130 3.70884i 0.0875643 0.151666i
\(599\) −11.5585 + 20.0200i −0.472269 + 0.817994i −0.999496 0.0317303i \(-0.989898\pi\)
0.527227 + 0.849724i \(0.323232\pi\)
\(600\) 8.11951 6.48854i 0.331478 0.264894i
\(601\) 1.70480 + 2.95280i 0.0695402 + 0.120447i 0.898699 0.438566i \(-0.144513\pi\)
−0.829159 + 0.559013i \(0.811180\pi\)
\(602\) 22.8429 0.931007
\(603\) −10.1124 + 44.7222i −0.411810 + 1.82123i
\(604\) −41.9757 −1.70797
\(605\) 8.97044 + 15.5373i 0.364700 + 0.631679i
\(606\) −23.7265 9.28430i −0.963825 0.377149i
\(607\) −10.5060 + 18.1970i −0.426427 + 0.738593i −0.996553 0.0829645i \(-0.973561\pi\)
0.570126 + 0.821558i \(0.306895\pi\)
\(608\) 7.74105 13.4079i 0.313941 0.543762i
\(609\) −1.65260 0.646669i −0.0669667 0.0262044i
\(610\) 8.17814 + 14.1649i 0.331123 + 0.573522i
\(611\) 11.4089 0.461555
\(612\) 8.93660 39.5221i 0.361241 1.59759i
\(613\) 4.34045 0.175309 0.0876546 0.996151i \(-0.472063\pi\)
0.0876546 + 0.996151i \(0.472063\pi\)
\(614\) 29.1390 + 50.4702i 1.17595 + 2.03681i
\(615\) −8.65087 + 6.91317i −0.348837 + 0.278766i
\(616\) 25.8050 44.6955i 1.03971 1.80083i
\(617\) −12.3921 + 21.4637i −0.498887 + 0.864098i −0.999999 0.00128460i \(-0.999591\pi\)
0.501112 + 0.865382i \(0.332924\pi\)
\(618\) −11.2144 73.8956i −0.451110 2.97252i
\(619\) −17.4471 30.2193i −0.701258 1.21461i −0.968025 0.250853i \(-0.919289\pi\)
0.266767 0.963761i \(-0.414045\pi\)
\(620\) −24.4547 −0.982126
\(621\) −8.78987 0.631899i −0.352725 0.0253572i
\(622\) −16.3485 −0.655514
\(623\) −12.5739 21.7786i −0.503761 0.872540i
\(624\) −1.66325 10.9597i −0.0665834 0.438741i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 9.90343 17.1533i 0.395821 0.685582i
\(627\) 27.0930 21.6508i 1.08199 0.864650i
\(628\) −17.3509 30.0527i −0.692377 1.19923i
\(629\) 1.37351 0.0547655
\(630\) −8.89463 8.21959i −0.354370 0.327476i
\(631\) −27.9002 −1.11069 −0.555344 0.831620i \(-0.687414\pi\)
−0.555344 + 0.831620i \(0.687414\pi\)
\(632\) −15.9647 27.6517i −0.635043 1.09993i
\(633\) −8.35656 3.26996i −0.332143 0.129969i
\(634\) −40.0732 + 69.4088i −1.59151 + 2.75658i
\(635\) 7.10196 12.3010i 0.281833 0.488149i
\(636\) −72.7682 28.4745i −2.88545 1.12909i
\(637\) 2.22206 + 3.84872i 0.0880411 + 0.152492i
\(638\) 8.70596 0.344672
\(639\) 15.9388 4.95180i 0.630530 0.195890i
\(640\) −14.1182 −0.558071
\(641\) −1.63649 2.83448i −0.0646374 0.111955i 0.831896 0.554932i \(-0.187256\pi\)
−0.896533 + 0.442977i \(0.853922\pi\)
\(642\) 20.6705 16.5184i 0.815800 0.651929i
\(643\) −17.2981 + 29.9612i −0.682170 + 1.18155i 0.292148 + 0.956373i \(0.405630\pi\)
−0.974317 + 0.225179i \(0.927703\pi\)
\(644\) 5.93304 10.2763i 0.233795 0.404944i
\(645\) 1.47051 + 9.68967i 0.0579011 + 0.381531i
\(646\) 14.5033 + 25.1204i 0.570623 + 0.988349i
\(647\) 32.2974 1.26974 0.634871 0.772618i \(-0.281053\pi\)
0.634871 + 0.772618i \(0.281053\pi\)
\(648\) −44.4992 + 30.6034i −1.74809 + 1.20222i
\(649\) 50.2913 1.97411
\(650\) 1.26258 + 2.18685i 0.0495223 + 0.0857752i
\(651\) 2.32162 + 15.2979i 0.0909914 + 0.599574i
\(652\) 5.99767 10.3883i 0.234887 0.406836i
\(653\) −17.7871 + 30.8081i −0.696062 + 1.20561i 0.273760 + 0.961798i \(0.411733\pi\)
−0.969821 + 0.243816i \(0.921601\pi\)
\(654\) −12.4631 + 9.95963i −0.487346 + 0.389452i
\(655\) 9.34730 + 16.1900i 0.365229 + 0.632596i
\(656\) −40.9186 −1.59760
\(657\) −33.7112 + 10.4732i −1.31520 + 0.408600i
\(658\) 46.0577 1.79552
\(659\) 15.0300 + 26.0327i 0.585484 + 1.01409i 0.994815 + 0.101703i \(0.0324290\pi\)
−0.409330 + 0.912386i \(0.634238\pi\)
\(660\) 37.9749 + 14.8597i 1.47817 + 0.578414i
\(661\) −2.58617 + 4.47938i −0.100590 + 0.174228i −0.911928 0.410350i \(-0.865407\pi\)
0.811338 + 0.584578i \(0.198740\pi\)
\(662\) 22.8627 39.5993i 0.888583 1.53907i
\(663\) 4.97798 + 1.94791i 0.193329 + 0.0756505i
\(664\) −29.2512 50.6646i −1.13517 1.96617i
\(665\) 5.95044 0.230748
\(666\) −2.47605 2.28814i −0.0959450 0.0886635i
\(667\) 1.08691 0.0420853
\(668\) 38.8865 + 67.3535i 1.50457 + 2.60598i
\(669\) −20.3767 + 16.2836i −0.787809 + 0.629561i
\(670\) 19.2969 33.4232i 0.745504 1.29125i
\(671\) −17.4230 + 30.1775i −0.672607 + 1.16499i
\(672\) −1.72821 11.3878i −0.0666672 0.439293i
\(673\) −5.71413 9.89716i −0.220263 0.381507i 0.734624 0.678474i \(-0.237358\pi\)
−0.954888 + 0.296967i \(0.904025\pi\)
\(674\) 37.7924 1.45571
\(675\) 2.91406 4.30212i 0.112162 0.165589i
\(676\) 4.37640 0.168323
\(677\) 4.25402 + 7.36818i 0.163495 + 0.283182i 0.936120 0.351681i \(-0.114390\pi\)
−0.772625 + 0.634863i \(0.781056\pi\)
\(678\) 8.09426 + 53.3358i 0.310858 + 2.04835i
\(679\) −0.730502 + 1.26527i −0.0280341 + 0.0485565i
\(680\) −9.25991 + 16.0386i −0.355101 + 0.615054i
\(681\) −29.4156 + 23.5069i −1.12721 + 0.900785i
\(682\) −37.9542 65.7386i −1.45334 2.51726i
\(683\) −17.6393 −0.674947 −0.337474 0.941335i \(-0.609572\pi\)
−0.337474 + 0.941335i \(0.609572\pi\)
\(684\) 10.7776 47.6638i 0.412090 1.82247i
\(685\) −13.8586 −0.529511
\(686\) 23.0999 + 40.0102i 0.881959 + 1.52760i
\(687\) 43.8324 + 17.1518i 1.67231 + 0.654383i
\(688\) −18.1070 + 31.3623i −0.690324 + 1.19568i
\(689\) 5.15432 8.92754i 0.196364 0.340112i
\(690\) 6.90766 + 2.70300i 0.262970 + 0.102901i
\(691\) −17.4651 30.2505i −0.664404 1.15078i −0.979447 0.201704i \(-0.935352\pi\)
0.315042 0.949078i \(-0.397981\pi\)
\(692\) 46.2721 1.75900
\(693\) 5.69052 25.1663i 0.216165 0.955990i
\(694\) −29.8258 −1.13217
\(695\) 3.26336 + 5.65230i 0.123786 + 0.214404i
\(696\) 5.20359 4.15834i 0.197242 0.157622i
\(697\) 9.86590 17.0882i 0.373698 0.647263i
\(698\) −29.4812 + 51.0629i −1.11588 + 1.93276i
\(699\) −6.27280 41.3336i −0.237259 1.56338i
\(700\) 3.49830 + 6.05924i 0.132223 + 0.229018i
\(701\) −49.5629 −1.87197 −0.935983 0.352045i \(-0.885486\pi\)
−0.935983 + 0.352045i \(0.885486\pi\)
\(702\) −5.72886 11.8044i −0.216222 0.445527i
\(703\) 1.65646 0.0624745
\(704\) −6.17719 10.6992i −0.232812 0.403242i
\(705\) 2.96495 + 19.5371i 0.111667 + 0.735810i
\(706\) 17.1432 29.6929i 0.645194 1.11751i
\(707\) 4.65655 8.06537i 0.175127 0.303330i
\(708\) 55.3576 44.2379i 2.08047 1.66256i
\(709\) −18.0806 31.3165i −0.679031 1.17612i −0.975273 0.221003i \(-0.929067\pi\)
0.296243 0.955113i \(-0.404266\pi\)
\(710\) −14.0485 −0.527232
\(711\) −11.7234 10.8337i −0.439662 0.406295i
\(712\) 94.3919 3.53749
\(713\) −4.73845 8.20723i −0.177456 0.307363i
\(714\) 20.0961 + 7.86370i 0.752078 + 0.294291i
\(715\) −2.68984 + 4.65893i −0.100594 + 0.174234i
\(716\) −11.9790 + 20.7482i −0.447675 + 0.775395i
\(717\) 27.8722 + 10.9065i 1.04090 + 0.407311i
\(718\) −7.45941 12.9201i −0.278383 0.482173i
\(719\) 21.1195 0.787624 0.393812 0.919191i \(-0.371156\pi\)
0.393812 + 0.919191i \(0.371156\pi\)
\(720\) 18.3357 5.69645i 0.683331 0.212294i
\(721\) 27.3203 1.01746
\(722\) −6.49798 11.2548i −0.241830 0.418861i
\(723\) 22.4138 17.9115i 0.833578 0.666136i
\(724\) 2.96115 5.12887i 0.110050 0.190613i
\(725\) −0.320437 + 0.555014i −0.0119007 + 0.0206127i
\(726\) 11.7735 + 77.5796i 0.436955 + 2.87925i
\(727\) 13.6302 + 23.6081i 0.505515 + 0.875577i 0.999980 + 0.00637961i \(0.00203071\pi\)
−0.494465 + 0.869198i \(0.664636\pi\)
\(728\) 9.59351 0.355559
\(729\) −16.7058 + 21.2112i −0.618734 + 0.785600i
\(730\) 29.7131 1.09973
\(731\) −8.73158 15.1235i −0.322949 0.559364i
\(732\) 7.36695 + 48.5433i 0.272290 + 1.79421i
\(733\) 5.80668 10.0575i 0.214474 0.371481i −0.738635 0.674105i \(-0.764529\pi\)
0.953110 + 0.302624i \(0.0978628\pi\)
\(734\) −3.08871 + 5.34981i −0.114006 + 0.197465i
\(735\) −6.01324 + 4.80535i −0.221802 + 0.177248i
\(736\) 3.52730 + 6.10945i 0.130018 + 0.225197i
\(737\) 82.2216 3.02867
\(738\) −46.2528 + 14.3696i −1.70259 + 0.528952i
\(739\) 42.9401 1.57958 0.789788 0.613380i \(-0.210191\pi\)
0.789788 + 0.613380i \(0.210191\pi\)
\(740\) 0.973844 + 1.68675i 0.0357992 + 0.0620061i
\(741\) 6.00346 + 2.34918i 0.220543 + 0.0862993i
\(742\) 20.8080 36.0405i 0.763885 1.32309i
\(743\) 17.3555 30.0606i 0.636711 1.10282i −0.349439 0.936959i \(-0.613628\pi\)
0.986150 0.165856i \(-0.0530388\pi\)
\(744\) −54.0850 21.1637i −1.98285 0.775898i
\(745\) −5.88878 10.1997i −0.215748 0.373687i
\(746\) 20.7059 0.758096
\(747\) −21.4801 19.8499i −0.785915 0.726270i
\(748\) −72.6612 −2.65676
\(749\) 4.83594 + 8.37609i 0.176701 + 0.306056i
\(750\) −3.41673 + 2.73041i −0.124761 + 0.0997005i
\(751\) −0.655127 + 1.13471i −0.0239059 + 0.0414062i −0.877731 0.479154i \(-0.840944\pi\)
0.853825 + 0.520560i \(0.174277\pi\)
\(752\) −36.5089 + 63.2352i −1.33134 + 2.30595i
\(753\) −2.65550 17.4980i −0.0967719 0.637663i
\(754\) 0.809153 + 1.40149i 0.0294676 + 0.0510394i
\(755\) 9.59138 0.349066
\(756\) −15.8733 32.7071i −0.577308 1.18955i
\(757\) 1.73705 0.0631343 0.0315671 0.999502i \(-0.489950\pi\)
0.0315671 + 0.999502i \(0.489950\pi\)
\(758\) −0.196536 0.340411i −0.00713852 0.0123643i
\(759\) 2.37110 + 15.6240i 0.0860655 + 0.567115i
\(760\) −11.1675 + 19.3426i −0.405087 + 0.701631i
\(761\) 9.10484 15.7700i 0.330050 0.571663i −0.652471 0.757813i \(-0.726268\pi\)
0.982521 + 0.186150i \(0.0596010\pi\)
\(762\) 48.5310 38.7825i 1.75809 1.40494i
\(763\) −2.91579 5.05029i −0.105559 0.182833i
\(764\) 16.0419 0.580374
\(765\) −2.04200 + 9.03074i −0.0738286 + 0.326507i
\(766\) −41.9336 −1.51512
\(767\) 4.67420 + 8.09595i 0.168776 + 0.292328i
\(768\) −50.0947 19.6023i −1.80764 0.707337i
\(769\) −20.5593 + 35.6098i −0.741388 + 1.28412i 0.210475 + 0.977599i \(0.432499\pi\)
−0.951863 + 0.306523i \(0.900834\pi\)
\(770\) −10.8589 + 18.8081i −0.391326 + 0.677797i
\(771\) 45.8589 + 17.9448i 1.65157 + 0.646265i
\(772\) 19.1480 + 33.1653i 0.689152 + 1.19365i
\(773\) 21.2243 0.763384 0.381692 0.924290i \(-0.375342\pi\)
0.381692 + 0.924290i \(0.375342\pi\)
\(774\) −9.45380 + 41.8094i −0.339810 + 1.50281i
\(775\) 5.58787 0.20072