Properties

Label 144.2.x.c.61.1
Level $144$
Weight $2$
Character 144.61
Analytic conductor $1.150$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(4\)
Coefficient field: \(\Q(\zeta_{12})\)
Defining polynomial: \(x^{4} - x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 61.1
Root \(0.866025 - 0.500000i\) of defining polynomial
Character \(\chi\) \(=\) 144.61
Dual form 144.2.x.c.85.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.366025 + 1.36603i) q^{2} +(0.866025 - 1.50000i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(1.00000 + 0.267949i) q^{5} +(2.36603 + 0.633975i) q^{6} +(2.36603 + 1.36603i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(-1.50000 - 2.59808i) q^{9} +O(q^{10})\) \(q+(0.366025 + 1.36603i) q^{2} +(0.866025 - 1.50000i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(1.00000 + 0.267949i) q^{5} +(2.36603 + 0.633975i) q^{6} +(2.36603 + 1.36603i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(-1.50000 - 2.59808i) q^{9} +1.46410i q^{10} +(1.13397 + 4.23205i) q^{11} +3.46410i q^{12} +(0.901924 - 3.36603i) q^{13} +(-1.00000 + 3.73205i) q^{14} +(1.26795 - 1.26795i) q^{15} +(2.00000 - 3.46410i) q^{16} -5.73205 q^{17} +(3.00000 - 3.00000i) q^{18} +(-2.36603 - 2.36603i) q^{19} +(-2.00000 + 0.535898i) q^{20} +(4.09808 - 2.36603i) q^{21} +(-5.36603 + 3.09808i) q^{22} +(-4.09808 + 2.36603i) q^{23} +(-4.73205 + 1.26795i) q^{24} +(-3.40192 - 1.96410i) q^{25} +4.92820 q^{26} -5.19615 q^{27} -5.46410 q^{28} +(2.36603 - 0.633975i) q^{29} +(2.19615 + 1.26795i) q^{30} +(-0.267949 - 0.464102i) q^{31} +(5.46410 + 1.46410i) q^{32} +(7.33013 + 1.96410i) q^{33} +(-2.09808 - 7.83013i) q^{34} +(2.00000 + 2.00000i) q^{35} +(5.19615 + 3.00000i) q^{36} +(4.73205 - 4.73205i) q^{37} +(2.36603 - 4.09808i) q^{38} +(-4.26795 - 4.26795i) q^{39} +(-1.46410 - 2.53590i) q^{40} +(-2.59808 + 1.50000i) q^{41} +(4.73205 + 4.73205i) q^{42} +(2.23205 + 8.33013i) q^{43} +(-6.19615 - 6.19615i) q^{44} +(-0.803848 - 3.00000i) q^{45} +(-4.73205 - 4.73205i) q^{46} +(3.83013 - 6.63397i) q^{47} +(-3.46410 - 6.00000i) q^{48} +(0.232051 + 0.401924i) q^{49} +(1.43782 - 5.36603i) q^{50} +(-4.96410 + 8.59808i) q^{51} +(1.80385 + 6.73205i) q^{52} +(-7.46410 + 7.46410i) q^{53} +(-1.90192 - 7.09808i) q^{54} +4.53590i q^{55} +(-2.00000 - 7.46410i) q^{56} +(-5.59808 + 1.50000i) q^{57} +(1.73205 + 3.00000i) q^{58} +(7.33013 + 1.96410i) q^{59} +(-0.928203 + 3.46410i) q^{60} +(11.1962 - 3.00000i) q^{61} +(0.535898 - 0.535898i) q^{62} -8.19615i q^{63} +8.00000i q^{64} +(1.80385 - 3.12436i) q^{65} +10.7321i q^{66} +(-1.76795 + 6.59808i) q^{67} +(9.92820 - 5.73205i) q^{68} +8.19615i q^{69} +(-2.00000 + 3.46410i) q^{70} +2.92820i q^{71} +(-2.19615 + 8.19615i) q^{72} -6.26795i q^{73} +(8.19615 + 4.73205i) q^{74} +(-5.89230 + 3.40192i) q^{75} +(6.46410 + 1.73205i) q^{76} +(-3.09808 + 11.5622i) q^{77} +(4.26795 - 7.39230i) q^{78} +(-6.00000 + 10.3923i) q^{79} +(2.92820 - 2.92820i) q^{80} +(-4.50000 + 7.79423i) q^{81} +(-3.00000 - 3.00000i) q^{82} +(-1.36603 + 0.366025i) q^{83} +(-4.73205 + 8.19615i) q^{84} +(-5.73205 - 1.53590i) q^{85} +(-10.5622 + 6.09808i) q^{86} +(1.09808 - 4.09808i) q^{87} +(6.19615 - 10.7321i) q^{88} -2.00000i q^{89} +(3.80385 - 2.19615i) q^{90} +(6.73205 - 6.73205i) q^{91} +(4.73205 - 8.19615i) q^{92} -0.928203 q^{93} +(10.4641 + 2.80385i) q^{94} +(-1.73205 - 3.00000i) q^{95} +(6.92820 - 6.92820i) q^{96} +(-5.86603 + 10.1603i) q^{97} +(-0.464102 + 0.464102i) q^{98} +(9.29423 - 9.29423i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4q - 2q^{2} + 4q^{5} + 6q^{6} + 6q^{7} - 8q^{8} - 6q^{9} + O(q^{10}) \) \( 4q - 2q^{2} + 4q^{5} + 6q^{6} + 6q^{7} - 8q^{8} - 6q^{9} + 8q^{11} + 14q^{13} - 4q^{14} + 12q^{15} + 8q^{16} - 16q^{17} + 12q^{18} - 6q^{19} - 8q^{20} + 6q^{21} - 18q^{22} - 6q^{23} - 12q^{24} - 24q^{25} - 8q^{26} - 8q^{28} + 6q^{29} - 12q^{30} - 8q^{31} + 8q^{32} + 12q^{33} + 2q^{34} + 8q^{35} + 12q^{37} + 6q^{38} - 24q^{39} + 8q^{40} + 12q^{42} + 2q^{43} - 4q^{44} - 24q^{45} - 12q^{46} - 2q^{47} - 6q^{49} + 30q^{50} - 6q^{51} + 28q^{52} - 16q^{53} - 18q^{54} - 8q^{56} - 12q^{57} + 12q^{59} + 24q^{60} + 24q^{61} + 16q^{62} + 28q^{65} - 14q^{67} + 12q^{68} - 8q^{70} + 12q^{72} + 12q^{74} + 18q^{75} + 12q^{76} - 2q^{77} + 24q^{78} - 24q^{79} - 16q^{80} - 18q^{81} - 12q^{82} - 2q^{83} - 12q^{84} - 16q^{85} - 18q^{86} - 6q^{87} + 4q^{88} + 36q^{90} + 20q^{91} + 12q^{92} + 24q^{93} + 28q^{94} - 20q^{97} + 12q^{98} + 6q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.366025 + 1.36603i 0.258819 + 0.965926i
\(3\) 0.866025 1.50000i 0.500000 0.866025i
\(4\) −1.73205 + 1.00000i −0.866025 + 0.500000i
\(5\) 1.00000 + 0.267949i 0.447214 + 0.119831i 0.475395 0.879772i \(-0.342305\pi\)
−0.0281817 + 0.999603i \(0.508972\pi\)
\(6\) 2.36603 + 0.633975i 0.965926 + 0.258819i
\(7\) 2.36603 + 1.36603i 0.894274 + 0.516309i 0.875338 0.483512i \(-0.160639\pi\)
0.0189356 + 0.999821i \(0.493972\pi\)
\(8\) −2.00000 2.00000i −0.707107 0.707107i
\(9\) −1.50000 2.59808i −0.500000 0.866025i
\(10\) 1.46410i 0.462990i
\(11\) 1.13397 + 4.23205i 0.341906 + 1.27601i 0.896185 + 0.443680i \(0.146327\pi\)
−0.554279 + 0.832331i \(0.687006\pi\)
\(12\) 3.46410i 1.00000i
\(13\) 0.901924 3.36603i 0.250149 0.933567i −0.720577 0.693375i \(-0.756123\pi\)
0.970725 0.240192i \(-0.0772105\pi\)
\(14\) −1.00000 + 3.73205i −0.267261 + 0.997433i
\(15\) 1.26795 1.26795i 0.327383 0.327383i
\(16\) 2.00000 3.46410i 0.500000 0.866025i
\(17\) −5.73205 −1.39023 −0.695113 0.718900i \(-0.744646\pi\)
−0.695113 + 0.718900i \(0.744646\pi\)
\(18\) 3.00000 3.00000i 0.707107 0.707107i
\(19\) −2.36603 2.36603i −0.542803 0.542803i 0.381546 0.924350i \(-0.375392\pi\)
−0.924350 + 0.381546i \(0.875392\pi\)
\(20\) −2.00000 + 0.535898i −0.447214 + 0.119831i
\(21\) 4.09808 2.36603i 0.894274 0.516309i
\(22\) −5.36603 + 3.09808i −1.14404 + 0.660512i
\(23\) −4.09808 + 2.36603i −0.854508 + 0.493350i −0.862169 0.506620i \(-0.830895\pi\)
0.00766135 + 0.999971i \(0.497561\pi\)
\(24\) −4.73205 + 1.26795i −0.965926 + 0.258819i
\(25\) −3.40192 1.96410i −0.680385 0.392820i
\(26\) 4.92820 0.966500
\(27\) −5.19615 −1.00000
\(28\) −5.46410 −1.03262
\(29\) 2.36603 0.633975i 0.439360 0.117726i −0.0323566 0.999476i \(-0.510301\pi\)
0.471717 + 0.881750i \(0.343635\pi\)
\(30\) 2.19615 + 1.26795i 0.400961 + 0.231495i
\(31\) −0.267949 0.464102i −0.0481251 0.0833551i 0.840959 0.541098i \(-0.181991\pi\)
−0.889085 + 0.457743i \(0.848658\pi\)
\(32\) 5.46410 + 1.46410i 0.965926 + 0.258819i
\(33\) 7.33013 + 1.96410i 1.27601 + 0.341906i
\(34\) −2.09808 7.83013i −0.359817 1.34286i
\(35\) 2.00000 + 2.00000i 0.338062 + 0.338062i
\(36\) 5.19615 + 3.00000i 0.866025 + 0.500000i
\(37\) 4.73205 4.73205i 0.777944 0.777944i −0.201537 0.979481i \(-0.564594\pi\)
0.979481 + 0.201537i \(0.0645935\pi\)
\(38\) 2.36603 4.09808i 0.383820 0.664796i
\(39\) −4.26795 4.26795i −0.683419 0.683419i
\(40\) −1.46410 2.53590i −0.231495 0.400961i
\(41\) −2.59808 + 1.50000i −0.405751 + 0.234261i −0.688963 0.724797i \(-0.741934\pi\)
0.283211 + 0.959058i \(0.408600\pi\)
\(42\) 4.73205 + 4.73205i 0.730171 + 0.730171i
\(43\) 2.23205 + 8.33013i 0.340385 + 1.27033i 0.897912 + 0.440174i \(0.145083\pi\)
−0.557528 + 0.830158i \(0.688250\pi\)
\(44\) −6.19615 6.19615i −0.934105 0.934105i
\(45\) −0.803848 3.00000i −0.119831 0.447214i
\(46\) −4.73205 4.73205i −0.697703 0.697703i
\(47\) 3.83013 6.63397i 0.558681 0.967665i −0.438925 0.898523i \(-0.644641\pi\)
0.997607 0.0691412i \(-0.0220259\pi\)
\(48\) −3.46410 6.00000i −0.500000 0.866025i
\(49\) 0.232051 + 0.401924i 0.0331501 + 0.0574177i
\(50\) 1.43782 5.36603i 0.203339 0.758871i
\(51\) −4.96410 + 8.59808i −0.695113 + 1.20397i
\(52\) 1.80385 + 6.73205i 0.250149 + 0.933567i
\(53\) −7.46410 + 7.46410i −1.02527 + 1.02527i −0.0256010 + 0.999672i \(0.508150\pi\)
−0.999672 + 0.0256010i \(0.991850\pi\)
\(54\) −1.90192 7.09808i −0.258819 0.965926i
\(55\) 4.53590i 0.611620i
\(56\) −2.00000 7.46410i −0.267261 0.997433i
\(57\) −5.59808 + 1.50000i −0.741483 + 0.198680i
\(58\) 1.73205 + 3.00000i 0.227429 + 0.393919i
\(59\) 7.33013 + 1.96410i 0.954301 + 0.255704i 0.702186 0.711993i \(-0.252207\pi\)
0.252115 + 0.967697i \(0.418874\pi\)
\(60\) −0.928203 + 3.46410i −0.119831 + 0.447214i
\(61\) 11.1962 3.00000i 1.43352 0.384111i 0.543261 0.839564i \(-0.317189\pi\)
0.890260 + 0.455453i \(0.150523\pi\)
\(62\) 0.535898 0.535898i 0.0680592 0.0680592i
\(63\) 8.19615i 1.03262i
\(64\) 8.00000i 1.00000i
\(65\) 1.80385 3.12436i 0.223740 0.387529i
\(66\) 10.7321i 1.32102i
\(67\) −1.76795 + 6.59808i −0.215989 + 0.806083i 0.769827 + 0.638253i \(0.220343\pi\)
−0.985816 + 0.167830i \(0.946324\pi\)
\(68\) 9.92820 5.73205i 1.20397 0.695113i
\(69\) 8.19615i 0.986701i
\(70\) −2.00000 + 3.46410i −0.239046 + 0.414039i
\(71\) 2.92820i 0.347514i 0.984789 + 0.173757i \(0.0555907\pi\)
−0.984789 + 0.173757i \(0.944409\pi\)
\(72\) −2.19615 + 8.19615i −0.258819 + 0.965926i
\(73\) 6.26795i 0.733608i −0.930298 0.366804i \(-0.880452\pi\)
0.930298 0.366804i \(-0.119548\pi\)
\(74\) 8.19615 + 4.73205i 0.952783 + 0.550090i
\(75\) −5.89230 + 3.40192i −0.680385 + 0.392820i
\(76\) 6.46410 + 1.73205i 0.741483 + 0.198680i
\(77\) −3.09808 + 11.5622i −0.353059 + 1.31763i
\(78\) 4.26795 7.39230i 0.483250 0.837014i
\(79\) −6.00000 + 10.3923i −0.675053 + 1.16923i 0.301401 + 0.953498i \(0.402546\pi\)
−0.976453 + 0.215728i \(0.930788\pi\)
\(80\) 2.92820 2.92820i 0.327383 0.327383i
\(81\) −4.50000 + 7.79423i −0.500000 + 0.866025i
\(82\) −3.00000 3.00000i −0.331295 0.331295i
\(83\) −1.36603 + 0.366025i −0.149941 + 0.0401765i −0.333009 0.942924i \(-0.608064\pi\)
0.183068 + 0.983100i \(0.441397\pi\)
\(84\) −4.73205 + 8.19615i −0.516309 + 0.894274i
\(85\) −5.73205 1.53590i −0.621728 0.166592i
\(86\) −10.5622 + 6.09808i −1.13895 + 0.657572i
\(87\) 1.09808 4.09808i 0.117726 0.439360i
\(88\) 6.19615 10.7321i 0.660512 1.14404i
\(89\) 2.00000i 0.212000i −0.994366 0.106000i \(-0.966196\pi\)
0.994366 0.106000i \(-0.0338043\pi\)
\(90\) 3.80385 2.19615i 0.400961 0.231495i
\(91\) 6.73205 6.73205i 0.705711 0.705711i
\(92\) 4.73205 8.19615i 0.493350 0.854508i
\(93\) −0.928203 −0.0962502
\(94\) 10.4641 + 2.80385i 1.07929 + 0.289195i
\(95\) −1.73205 3.00000i −0.177705 0.307794i
\(96\) 6.92820 6.92820i 0.707107 0.707107i
\(97\) −5.86603 + 10.1603i −0.595605 + 1.03162i 0.397857 + 0.917448i \(0.369754\pi\)
−0.993461 + 0.114170i \(0.963579\pi\)
\(98\) −0.464102 + 0.464102i −0.0468813 + 0.0468813i
\(99\) 9.29423 9.29423i 0.934105 0.934105i
\(100\) 7.85641 0.785641
\(101\) 0.535898 + 2.00000i 0.0533239 + 0.199007i 0.987449 0.157938i \(-0.0504847\pi\)
−0.934125 + 0.356946i \(0.883818\pi\)
\(102\) −13.5622 3.63397i −1.34286 0.359817i
\(103\) 13.0981 7.56218i 1.29059 0.745124i 0.311833 0.950137i \(-0.399057\pi\)
0.978759 + 0.205014i \(0.0657238\pi\)
\(104\) −8.53590 + 4.92820i −0.837014 + 0.483250i
\(105\) 4.73205 1.26795i 0.461801 0.123739i
\(106\) −12.9282 7.46410i −1.25570 0.724978i
\(107\) 12.4904 12.4904i 1.20749 1.20749i 0.235654 0.971837i \(-0.424277\pi\)
0.971837 0.235654i \(-0.0757231\pi\)
\(108\) 9.00000 5.19615i 0.866025 0.500000i
\(109\) 10.7321 + 10.7321i 1.02794 + 1.02794i 0.999598 + 0.0283459i \(0.00902398\pi\)
0.0283459 + 0.999598i \(0.490976\pi\)
\(110\) −6.19615 + 1.66025i −0.590780 + 0.158299i
\(111\) −3.00000 11.1962i −0.284747 1.06269i
\(112\) 9.46410 5.46410i 0.894274 0.516309i
\(113\) −6.92820 12.0000i −0.651751 1.12887i −0.982698 0.185216i \(-0.940702\pi\)
0.330947 0.943649i \(-0.392632\pi\)
\(114\) −4.09808 7.09808i −0.383820 0.664796i
\(115\) −4.73205 + 1.26795i −0.441266 + 0.118237i
\(116\) −3.46410 + 3.46410i −0.321634 + 0.321634i
\(117\) −10.0981 + 2.70577i −0.933567 + 0.250149i
\(118\) 10.7321i 0.987965i
\(119\) −13.5622 7.83013i −1.24324 0.717787i
\(120\) −5.07180 −0.462990
\(121\) −7.09808 + 4.09808i −0.645280 + 0.372552i
\(122\) 8.19615 + 14.1962i 0.742045 + 1.28526i
\(123\) 5.19615i 0.468521i
\(124\) 0.928203 + 0.535898i 0.0833551 + 0.0481251i
\(125\) −6.53590 6.53590i −0.584589 0.584589i
\(126\) 11.1962 3.00000i 0.997433 0.267261i
\(127\) 4.19615 0.372348 0.186174 0.982517i \(-0.440391\pi\)
0.186174 + 0.982517i \(0.440391\pi\)
\(128\) −10.9282 + 2.92820i −0.965926 + 0.258819i
\(129\) 14.4282 + 3.86603i 1.27033 + 0.340385i
\(130\) 4.92820 + 1.32051i 0.432232 + 0.115816i
\(131\) 2.09808 7.83013i 0.183310 0.684121i −0.811676 0.584108i \(-0.801445\pi\)
0.994986 0.100014i \(-0.0318887\pi\)
\(132\) −14.6603 + 3.92820i −1.27601 + 0.341906i
\(133\) −2.36603 8.83013i −0.205160 0.765669i
\(134\) −9.66025 −0.834519
\(135\) −5.19615 1.39230i −0.447214 0.119831i
\(136\) 11.4641 + 11.4641i 0.983039 + 0.983039i
\(137\) 8.25833 + 4.76795i 0.705557 + 0.407353i 0.809414 0.587239i \(-0.199785\pi\)
−0.103857 + 0.994592i \(0.533118\pi\)
\(138\) −11.1962 + 3.00000i −0.953080 + 0.255377i
\(139\) −11.4282 3.06218i −0.969328 0.259731i −0.260784 0.965397i \(-0.583981\pi\)
−0.708544 + 0.705667i \(0.750648\pi\)
\(140\) −5.46410 1.46410i −0.461801 0.123739i
\(141\) −6.63397 11.4904i −0.558681 0.967665i
\(142\) −4.00000 + 1.07180i −0.335673 + 0.0899432i
\(143\) 15.2679 1.27677
\(144\) −12.0000 −1.00000
\(145\) 2.53590 0.210595
\(146\) 8.56218 2.29423i 0.708611 0.189872i
\(147\) 0.803848 0.0663002
\(148\) −3.46410 + 12.9282i −0.284747 + 1.06269i
\(149\) 7.83013 + 2.09808i 0.641469 + 0.171881i 0.564869 0.825181i \(-0.308927\pi\)
0.0766003 + 0.997062i \(0.475593\pi\)
\(150\) −6.80385 6.80385i −0.555532 0.555532i
\(151\) 0.633975 + 0.366025i 0.0515921 + 0.0297867i 0.525574 0.850748i \(-0.323851\pi\)
−0.473982 + 0.880534i \(0.657184\pi\)
\(152\) 9.46410i 0.767640i
\(153\) 8.59808 + 14.8923i 0.695113 + 1.20397i
\(154\) −16.9282 −1.36411
\(155\) −0.143594 0.535898i −0.0115337 0.0430444i
\(156\) 11.6603 + 3.12436i 0.933567 + 0.250149i
\(157\) 1.26795 4.73205i 0.101193 0.377659i −0.896692 0.442655i \(-0.854037\pi\)
0.997886 + 0.0649959i \(0.0207034\pi\)
\(158\) −16.3923 4.39230i −1.30410 0.349433i
\(159\) 4.73205 + 17.6603i 0.375276 + 1.40055i
\(160\) 5.07180 + 2.92820i 0.400961 + 0.231495i
\(161\) −12.9282 −1.01889
\(162\) −12.2942 3.29423i −0.965926 0.258819i
\(163\) −7.00000 7.00000i −0.548282 0.548282i 0.377661 0.925944i \(-0.376728\pi\)
−0.925944 + 0.377661i \(0.876728\pi\)
\(164\) 3.00000 5.19615i 0.234261 0.405751i
\(165\) 6.80385 + 3.92820i 0.529679 + 0.305810i
\(166\) −1.00000 1.73205i −0.0776151 0.134433i
\(167\) 6.46410 3.73205i 0.500207 0.288795i −0.228592 0.973522i \(-0.573412\pi\)
0.728799 + 0.684728i \(0.240079\pi\)
\(168\) −12.9282 3.46410i −0.997433 0.267261i
\(169\) 0.741670 + 0.428203i 0.0570515 + 0.0329387i
\(170\) 8.39230i 0.643660i
\(171\) −2.59808 + 9.69615i −0.198680 + 0.741483i
\(172\) −12.1962 12.1962i −0.929948 0.929948i
\(173\) 1.63397 0.437822i 0.124229 0.0332870i −0.196169 0.980570i \(-0.562850\pi\)
0.320398 + 0.947283i \(0.396183\pi\)
\(174\) 6.00000 0.454859
\(175\) −5.36603 9.29423i −0.405633 0.702578i
\(176\) 16.9282 + 4.53590i 1.27601 + 0.341906i
\(177\) 9.29423 9.29423i 0.698597 0.698597i
\(178\) 2.73205 0.732051i 0.204776 0.0548695i
\(179\) −1.92820 1.92820i −0.144121 0.144121i 0.631365 0.775486i \(-0.282495\pi\)
−0.775486 + 0.631365i \(0.782495\pi\)
\(180\) 4.39230 + 4.39230i 0.327383 + 0.327383i
\(181\) −7.39230 + 7.39230i −0.549466 + 0.549466i −0.926286 0.376821i \(-0.877017\pi\)
0.376821 + 0.926286i \(0.377017\pi\)
\(182\) 11.6603 + 6.73205i 0.864316 + 0.499013i
\(183\) 5.19615 19.3923i 0.384111 1.43352i
\(184\) 12.9282 + 3.46410i 0.953080 + 0.255377i
\(185\) 6.00000 3.46410i 0.441129 0.254686i
\(186\) −0.339746 1.26795i −0.0249114 0.0929705i
\(187\) −6.50000 24.2583i −0.475327 1.77394i
\(188\) 15.3205i 1.11736i
\(189\) −12.2942 7.09808i −0.894274 0.516309i
\(190\) 3.46410 3.46410i 0.251312 0.251312i
\(191\) −12.0263 + 20.8301i −0.870191 + 1.50722i −0.00839227 + 0.999965i \(0.502671\pi\)
−0.861799 + 0.507250i \(0.830662\pi\)
\(192\) 12.0000 + 6.92820i 0.866025 + 0.500000i
\(193\) −10.8660 18.8205i −0.782154 1.35473i −0.930685 0.365822i \(-0.880788\pi\)
0.148531 0.988908i \(-0.452545\pi\)
\(194\) −16.0263 4.29423i −1.15062 0.308308i
\(195\) −3.12436 5.41154i −0.223740 0.387529i
\(196\) −0.803848 0.464102i −0.0574177 0.0331501i
\(197\) 13.6603 13.6603i 0.973253 0.973253i −0.0263987 0.999651i \(-0.508404\pi\)
0.999651 + 0.0263987i \(0.00840394\pi\)
\(198\) 16.0981 + 9.29423i 1.14404 + 0.660512i
\(199\) 25.1244i 1.78102i 0.454965 + 0.890509i \(0.349652\pi\)
−0.454965 + 0.890509i \(0.650348\pi\)
\(200\) 2.87564 + 10.7321i 0.203339 + 0.758871i
\(201\) 8.36603 + 8.36603i 0.590094 + 0.590094i
\(202\) −2.53590 + 1.46410i −0.178425 + 0.103014i
\(203\) 6.46410 + 1.73205i 0.453691 + 0.121566i
\(204\) 19.8564i 1.39023i
\(205\) −3.00000 + 0.803848i −0.209529 + 0.0561432i
\(206\) 15.1244 + 15.1244i 1.05376 + 1.05376i
\(207\) 12.2942 + 7.09808i 0.854508 + 0.493350i
\(208\) −9.85641 9.85641i −0.683419 0.683419i
\(209\) 7.33013 12.6962i 0.507035 0.878211i
\(210\) 3.46410 + 6.00000i 0.239046 + 0.414039i
\(211\) −1.09808 + 4.09808i −0.0755947 + 0.282123i −0.993367 0.114983i \(-0.963319\pi\)
0.917773 + 0.397106i \(0.129985\pi\)
\(212\) 5.46410 20.3923i 0.375276 1.40055i
\(213\) 4.39230 + 2.53590i 0.300956 + 0.173757i
\(214\) 21.6340 + 12.4904i 1.47887 + 0.853825i
\(215\) 8.92820i 0.608898i
\(216\) 10.3923 + 10.3923i 0.707107 + 0.707107i
\(217\) 1.46410i 0.0993897i
\(218\) −10.7321 + 18.5885i −0.726866 + 1.25897i
\(219\) −9.40192 5.42820i −0.635323 0.366804i
\(220\) −4.53590 7.85641i −0.305810 0.529679i
\(221\) −5.16987 + 19.2942i −0.347763 + 1.29787i
\(222\) 14.1962 8.19615i 0.952783 0.550090i
\(223\) −8.02628 + 13.9019i −0.537479 + 0.930942i 0.461559 + 0.887109i \(0.347290\pi\)
−0.999039 + 0.0438324i \(0.986043\pi\)
\(224\) 10.9282 + 10.9282i 0.730171 + 0.730171i
\(225\) 11.7846i 0.785641i
\(226\) 13.8564 13.8564i 0.921714 0.921714i
\(227\) 2.13397 0.571797i 0.141637 0.0379515i −0.187304 0.982302i \(-0.559975\pi\)
0.328941 + 0.944351i \(0.393308\pi\)
\(228\) 8.19615 8.19615i 0.542803 0.542803i
\(229\) 6.83013 + 1.83013i 0.451347 + 0.120938i 0.477330 0.878724i \(-0.341605\pi\)
−0.0259823 + 0.999662i \(0.508271\pi\)
\(230\) −3.46410 6.00000i −0.228416 0.395628i
\(231\) 14.6603 + 14.6603i 0.964574 + 0.964574i
\(232\) −6.00000 3.46410i −0.393919 0.227429i
\(233\) 3.19615i 0.209387i −0.994505 0.104693i \(-0.966614\pi\)
0.994505 0.104693i \(-0.0333861\pi\)
\(234\) −7.39230 12.8038i −0.483250 0.837014i
\(235\) 5.60770 5.60770i 0.365806 0.365806i
\(236\) −14.6603 + 3.92820i −0.954301 + 0.255704i
\(237\) 10.3923 + 18.0000i 0.675053 + 1.16923i
\(238\) 5.73205 21.3923i 0.371554 1.38666i
\(239\) −7.90192 13.6865i −0.511133 0.885308i −0.999917 0.0129033i \(-0.995893\pi\)
0.488784 0.872405i \(-0.337441\pi\)
\(240\) −1.85641 6.92820i −0.119831 0.447214i
\(241\) −11.5981 + 20.0885i −0.747098 + 1.29401i 0.202110 + 0.979363i \(0.435220\pi\)
−0.949208 + 0.314649i \(0.898113\pi\)
\(242\) −8.19615 8.19615i −0.526869 0.526869i
\(243\) 7.79423 + 13.5000i 0.500000 + 0.866025i
\(244\) −16.3923 + 16.3923i −1.04941 + 1.04941i
\(245\) 0.124356 + 0.464102i 0.00794479 + 0.0296504i
\(246\) −7.09808 + 1.90192i −0.452557 + 0.121262i
\(247\) −10.0981 + 5.83013i −0.642525 + 0.370962i
\(248\) −0.392305 + 1.46410i −0.0249114 + 0.0929705i
\(249\) −0.633975 + 2.36603i −0.0401765 + 0.149941i
\(250\) 6.53590 11.3205i 0.413367 0.715972i
\(251\) −5.83013 + 5.83013i −0.367994 + 0.367994i −0.866745 0.498751i \(-0.833792\pi\)
0.498751 + 0.866745i \(0.333792\pi\)
\(252\) 8.19615 + 14.1962i 0.516309 + 0.894274i
\(253\) −14.6603 14.6603i −0.921682 0.921682i
\(254\) 1.53590 + 5.73205i 0.0963708 + 0.359661i
\(255\) −7.26795 + 7.26795i −0.455137 + 0.455137i
\(256\) −8.00000 13.8564i −0.500000 0.866025i
\(257\) 9.42820 + 16.3301i 0.588115 + 1.01865i 0.994479 + 0.104934i \(0.0334632\pi\)
−0.406364 + 0.913711i \(0.633204\pi\)
\(258\) 21.1244i 1.31514i
\(259\) 17.6603 4.73205i 1.09735 0.294035i
\(260\) 7.21539i 0.447480i
\(261\) −5.19615 5.19615i −0.321634 0.321634i
\(262\) 11.4641 0.708255
\(263\) −2.49038 1.43782i −0.153563 0.0886599i 0.421249 0.906945i \(-0.361592\pi\)
−0.574813 + 0.818285i \(0.694925\pi\)
\(264\) −10.7321 18.5885i −0.660512 1.14404i
\(265\) −9.46410 + 5.46410i −0.581375 + 0.335657i
\(266\) 11.1962 6.46410i 0.686480 0.396339i
\(267\) −3.00000 1.73205i −0.183597 0.106000i
\(268\) −3.53590 13.1962i −0.215989 0.806083i
\(269\) 1.26795 + 1.26795i 0.0773082 + 0.0773082i 0.744704 0.667395i \(-0.232591\pi\)
−0.667395 + 0.744704i \(0.732591\pi\)
\(270\) 7.60770i 0.462990i
\(271\) −0.392305 −0.0238308 −0.0119154 0.999929i \(-0.503793\pi\)
−0.0119154 + 0.999929i \(0.503793\pi\)
\(272\) −11.4641 + 19.8564i −0.695113 + 1.20397i
\(273\) −4.26795 15.9282i −0.258308 0.964019i
\(274\) −3.49038 + 13.0263i −0.210862 + 0.786946i
\(275\) 4.45448 16.6244i 0.268615 1.00249i
\(276\) −8.19615 14.1962i −0.493350 0.854508i
\(277\) −6.75833 25.2224i −0.406069 1.51547i −0.802076 0.597222i \(-0.796271\pi\)
0.396007 0.918247i \(-0.370395\pi\)
\(278\) 16.7321i 1.00352i
\(279\) −0.803848 + 1.39230i −0.0481251 + 0.0833551i
\(280\) 8.00000i 0.478091i
\(281\) −8.66025 5.00000i −0.516627 0.298275i 0.218926 0.975741i \(-0.429745\pi\)
−0.735554 + 0.677466i \(0.763078\pi\)
\(282\) 13.2679 13.2679i 0.790095 0.790095i
\(283\) −19.5622 5.24167i −1.16285 0.311585i −0.374747 0.927127i \(-0.622270\pi\)
−0.788104 + 0.615542i \(0.788937\pi\)
\(284\) −2.92820 5.07180i −0.173757 0.300956i
\(285\) −6.00000 −0.355409
\(286\) 5.58846 + 20.8564i 0.330452 + 1.23327i
\(287\) −8.19615 −0.483804
\(288\) −4.39230 16.3923i −0.258819 0.965926i
\(289\) 15.8564 0.932730
\(290\) 0.928203 + 3.46410i 0.0545060 + 0.203419i
\(291\) 10.1603 + 17.5981i 0.595605 + 1.03162i
\(292\) 6.26795 + 10.8564i 0.366804 + 0.635323i
\(293\) −5.36603 1.43782i −0.313487 0.0839985i 0.0986454 0.995123i \(-0.468549\pi\)
−0.412132 + 0.911124i \(0.635216\pi\)
\(294\) 0.294229 + 1.09808i 0.0171598 + 0.0640411i
\(295\) 6.80385 + 3.92820i 0.396135 + 0.228709i
\(296\) −18.9282 −1.10018
\(297\) −5.89230 21.9904i −0.341906 1.27601i
\(298\) 11.4641i 0.664098i
\(299\) 4.26795 + 15.9282i 0.246822 + 0.921152i
\(300\) 6.80385 11.7846i 0.392820 0.680385i
\(301\) −6.09808 + 22.7583i −0.351487 + 1.31177i
\(302\) −0.267949 + 1.00000i −0.0154187 + 0.0575435i
\(303\) 3.46410 + 0.928203i 0.199007 + 0.0533239i
\(304\) −12.9282 + 3.46410i −0.741483 + 0.198680i
\(305\) 12.0000 0.687118
\(306\) −17.1962 + 17.1962i −0.983039 + 0.983039i
\(307\) 3.02628 + 3.02628i 0.172719 + 0.172719i 0.788173 0.615454i \(-0.211027\pi\)
−0.615454 + 0.788173i \(0.711027\pi\)
\(308\) −6.19615 23.1244i −0.353059 1.31763i
\(309\) 26.1962i 1.49025i
\(310\) 0.679492 0.392305i 0.0385925 0.0222814i
\(311\) −19.0981 + 11.0263i −1.08295 + 0.625243i −0.931691 0.363251i \(-0.881667\pi\)
−0.151261 + 0.988494i \(0.548333\pi\)
\(312\) 17.0718i 0.966500i
\(313\) 18.6506 + 10.7679i 1.05420 + 0.608640i 0.923821 0.382824i \(-0.125049\pi\)
0.130375 + 0.991465i \(0.458382\pi\)
\(314\) 6.92820 0.390981
\(315\) 2.19615 8.19615i 0.123739 0.461801i
\(316\) 24.0000i 1.35011i
\(317\) −20.5622 + 5.50962i −1.15489 + 0.309451i −0.784922 0.619595i \(-0.787297\pi\)
−0.369965 + 0.929046i \(0.620630\pi\)
\(318\) −22.3923 + 12.9282i −1.25570 + 0.724978i
\(319\) 5.36603 + 9.29423i 0.300440 + 0.520377i
\(320\) −2.14359 + 8.00000i −0.119831 + 0.447214i
\(321\) −7.91858 29.5526i −0.441972 1.64946i
\(322\) −4.73205 17.6603i −0.263707 0.984167i
\(323\) 13.5622 + 13.5622i 0.754620 + 0.754620i
\(324\) 18.0000i 1.00000i
\(325\) −9.67949 + 9.67949i −0.536922 + 0.536922i
\(326\) 7.00000 12.1244i 0.387694 0.671506i
\(327\) 25.3923 6.80385i 1.40420 0.376254i
\(328\) 8.19615 + 2.19615i 0.452557 + 0.121262i
\(329\) 18.1244 10.4641i 0.999228 0.576905i
\(330\) −2.87564 + 10.7321i −0.158299 + 0.590780i
\(331\) 0.0262794 + 0.0980762i 0.00144445 + 0.00539076i 0.966644 0.256123i \(-0.0824451\pi\)
−0.965200 + 0.261513i \(0.915778\pi\)
\(332\) 2.00000 2.00000i 0.109764 0.109764i
\(333\) −19.3923 5.19615i −1.06269 0.284747i
\(334\) 7.46410 + 7.46410i 0.408417 + 0.408417i
\(335\) −3.53590 + 6.12436i −0.193187 + 0.334609i
\(336\) 18.9282i 1.03262i
\(337\) 8.89230 + 15.4019i 0.484395 + 0.838996i 0.999839 0.0179267i \(-0.00570654\pi\)
−0.515445 + 0.856923i \(0.672373\pi\)
\(338\) −0.313467 + 1.16987i −0.0170503 + 0.0636327i
\(339\) −24.0000 −1.30350
\(340\) 11.4641 3.07180i 0.621728 0.166592i
\(341\) 1.66025 1.66025i 0.0899078 0.0899078i
\(342\) −14.1962 −0.767640
\(343\) 17.8564i 0.964155i
\(344\) 12.1962 21.1244i 0.657572 1.13895i
\(345\) −2.19615 + 8.19615i −0.118237 + 0.441266i
\(346\) 1.19615 + 2.07180i 0.0643056 + 0.111380i
\(347\) −17.6244 4.72243i −0.946125 0.253513i −0.247408 0.968911i \(-0.579579\pi\)
−0.698717 + 0.715398i \(0.746245\pi\)
\(348\) 2.19615 + 8.19615i 0.117726 + 0.439360i
\(349\) 15.9282 4.26795i 0.852617 0.228458i 0.194061 0.980989i \(-0.437834\pi\)
0.658556 + 0.752531i \(0.271167\pi\)
\(350\) 10.7321 10.7321i 0.573652 0.573652i
\(351\) −4.68653 + 17.4904i −0.250149 + 0.933567i
\(352\) 24.7846i 1.32102i
\(353\) 7.16025 12.4019i 0.381102 0.660088i −0.610118 0.792310i \(-0.708878\pi\)
0.991220 + 0.132223i \(0.0422114\pi\)
\(354\) 16.0981 + 9.29423i 0.855603 + 0.493983i
\(355\) −0.784610 + 2.92820i −0.0416428 + 0.155413i
\(356\) 2.00000 + 3.46410i 0.106000 + 0.183597i
\(357\) −23.4904 + 13.5622i −1.24324 + 0.717787i
\(358\) 1.92820 3.33975i 0.101909 0.176511i
\(359\) 11.2679i 0.594700i 0.954769 + 0.297350i \(0.0961028\pi\)
−0.954769 + 0.297350i \(0.903897\pi\)
\(360\) −4.39230 + 7.60770i −0.231495 + 0.400961i
\(361\) 7.80385i 0.410729i
\(362\) −12.8038 7.39230i −0.672955 0.388531i
\(363\) 14.1962i 0.745105i
\(364\) −4.92820 + 18.3923i −0.258308 + 0.964019i
\(365\) 1.67949 6.26795i 0.0879086 0.328079i
\(366\) 28.3923 1.48409
\(367\) 14.1244 24.4641i 0.737285 1.27702i −0.216428 0.976299i \(-0.569441\pi\)
0.953713 0.300717i \(-0.0972260\pi\)
\(368\) 18.9282i 0.986701i
\(369\) 7.79423 + 4.50000i 0.405751 + 0.234261i
\(370\) 6.92820 + 6.92820i 0.360180 + 0.360180i
\(371\) −27.8564 + 7.46410i −1.44623 + 0.387517i
\(372\) 1.60770 0.928203i 0.0833551 0.0481251i
\(373\) 27.4904 + 7.36603i 1.42340 + 0.381398i 0.886688 0.462368i \(-0.153000\pi\)
0.536710 + 0.843767i \(0.319667\pi\)
\(374\) 30.7583 17.7583i 1.59048 0.918261i
\(375\) −15.4641 + 4.14359i −0.798563 + 0.213974i
\(376\) −20.9282 + 5.60770i −1.07929 + 0.289195i
\(377\) 8.53590i 0.439621i
\(378\) 5.19615 19.3923i 0.267261 0.997433i
\(379\) 3.75833 3.75833i 0.193052 0.193052i −0.603961 0.797014i \(-0.706412\pi\)
0.797014 + 0.603961i \(0.206412\pi\)
\(380\) 6.00000 + 3.46410i 0.307794 + 0.177705i
\(381\) 3.63397 6.29423i 0.186174 0.322463i
\(382\) −32.8564 8.80385i −1.68108 0.450444i
\(383\) −6.73205 11.6603i −0.343992 0.595811i 0.641178 0.767392i \(-0.278446\pi\)
−0.985170 + 0.171581i \(0.945113\pi\)
\(384\) −5.07180 + 18.9282i −0.258819 + 0.965926i
\(385\) −6.19615 + 10.7321i −0.315785 + 0.546956i
\(386\) 21.7321 21.7321i 1.10613 1.10613i
\(387\) 18.2942 18.2942i 0.929948 0.929948i
\(388\) 23.4641i 1.19121i
\(389\) −5.29423 19.7583i −0.268428 1.00179i −0.960119 0.279593i \(-0.909800\pi\)
0.691691 0.722194i \(-0.256866\pi\)
\(390\) 6.24871 6.24871i 0.316416 0.316416i
\(391\) 23.4904 13.5622i 1.18796 0.685869i
\(392\) 0.339746 1.26795i 0.0171598 0.0640411i
\(393\) −9.92820 9.92820i −0.500812 0.500812i
\(394\) 23.6603 + 13.6603i 1.19199 + 0.688194i
\(395\) −8.78461 + 8.78461i −0.442002 + 0.442002i
\(396\) −6.80385 + 25.3923i −0.341906 + 1.27601i
\(397\) −9.26795 9.26795i −0.465145 0.465145i 0.435192 0.900337i \(-0.356680\pi\)
−0.900337 + 0.435192i \(0.856680\pi\)
\(398\) −34.3205 + 9.19615i −1.72033 + 0.460961i
\(399\) −15.2942 4.09808i −0.765669 0.205160i
\(400\) −13.6077 + 7.85641i −0.680385 + 0.392820i
\(401\) −1.79423 3.10770i −0.0895995 0.155191i 0.817742 0.575584i \(-0.195225\pi\)
−0.907342 + 0.420393i \(0.861892\pi\)
\(402\) −8.36603 + 14.4904i −0.417259 + 0.722715i
\(403\) −1.80385 + 0.483340i −0.0898560 + 0.0240769i
\(404\) −2.92820 2.92820i −0.145684 0.145684i
\(405\) −6.58846 + 6.58846i −0.327383 + 0.327383i
\(406\) 9.46410i 0.469695i
\(407\) 25.3923 + 14.6603i 1.25865 + 0.726682i
\(408\) 27.1244 7.26795i 1.34286 0.359817i
\(409\) 27.8660 16.0885i 1.37789 0.795523i 0.385981 0.922507i \(-0.373863\pi\)
0.991905 + 0.126984i \(0.0405295\pi\)
\(410\) −2.19615 3.80385i −0.108460 0.187859i
\(411\) 14.3038 8.25833i 0.705557 0.407353i
\(412\) −15.1244 + 26.1962i −0.745124 + 1.29059i
\(413\) 14.6603 + 14.6603i 0.721384 + 0.721384i
\(414\) −5.19615 + 19.3923i −0.255377 + 0.953080i
\(415\) −1.46410 −0.0718699
\(416\) 9.85641 17.0718i 0.483250 0.837014i
\(417\) −14.4904 + 14.4904i −0.709597 + 0.709597i
\(418\) 20.0263 + 5.36603i 0.979517 + 0.262461i
\(419\) 1.77757 6.63397i 0.0868399 0.324091i −0.908816 0.417196i \(-0.863013\pi\)
0.995656 + 0.0931055i \(0.0296794\pi\)
\(420\) −6.92820 + 6.92820i −0.338062 + 0.338062i
\(421\) 8.19615 + 30.5885i 0.399456 + 1.49079i 0.814056 + 0.580786i \(0.197255\pi\)
−0.414600 + 0.910004i \(0.636078\pi\)
\(422\) −6.00000 −0.292075
\(423\) −22.9808 −1.11736
\(424\) 29.8564 1.44996
\(425\) 19.5000 + 11.2583i 0.945889 + 0.546109i
\(426\) −1.85641 + 6.92820i −0.0899432 + 0.335673i
\(427\) 30.5885 + 8.19615i 1.48028 + 0.396640i
\(428\) −9.14359 + 34.1244i −0.441972 + 1.64946i
\(429\) 13.2224 22.9019i 0.638385 1.10572i
\(430\) −12.1962 + 3.26795i −0.588151 + 0.157595i
\(431\) −16.1962 −0.780141 −0.390071 0.920785i \(-0.627549\pi\)
−0.390071 + 0.920785i \(0.627549\pi\)
\(432\) −10.3923 + 18.0000i −0.500000 + 0.866025i
\(433\) −5.73205 −0.275465 −0.137732 0.990469i \(-0.543981\pi\)
−0.137732 + 0.990469i \(0.543981\pi\)
\(434\) 2.00000 0.535898i 0.0960031 0.0257239i
\(435\) 2.19615 3.80385i 0.105297 0.182381i
\(436\) −29.3205 7.85641i −1.40420 0.376254i
\(437\) 15.2942 + 4.09808i 0.731622 + 0.196038i
\(438\) 3.97372 14.8301i 0.189872 0.708611i
\(439\) −22.8564 13.1962i −1.09088 0.629818i −0.157067 0.987588i \(-0.550204\pi\)
−0.933810 + 0.357770i \(0.883537\pi\)
\(440\) 9.07180 9.07180i 0.432481 0.432481i
\(441\) 0.696152 1.20577i 0.0331501 0.0574177i
\(442\) −28.2487 −1.34365
\(443\) −4.62436 17.2583i −0.219710 0.819968i −0.984455 0.175636i \(-0.943802\pi\)
0.764745 0.644332i \(-0.222865\pi\)
\(444\) 16.3923 + 16.3923i 0.777944 + 0.777944i
\(445\) 0.535898 2.00000i 0.0254040 0.0948091i
\(446\) −21.9282 5.87564i −1.03833 0.278220i
\(447\) 9.92820 9.92820i 0.469588 0.469588i
\(448\) −10.9282 + 18.9282i −0.516309 + 0.894274i
\(449\) −3.33975 −0.157612 −0.0788062 0.996890i \(-0.525111\pi\)
−0.0788062 + 0.996890i \(0.525111\pi\)
\(450\) −16.0981 + 4.31347i −0.758871 + 0.203339i
\(451\) −9.29423 9.29423i −0.437648 0.437648i
\(452\) 24.0000 + 13.8564i 1.12887 + 0.651751i
\(453\) 1.09808 0.633975i 0.0515921 0.0297867i
\(454\) 1.56218 + 2.70577i 0.0733166 + 0.126988i
\(455\) 8.53590 4.92820i 0.400169 0.231038i
\(456\) 14.1962 + 8.19615i 0.664796 + 0.383820i
\(457\) 2.25833 + 1.30385i 0.105640 + 0.0609914i 0.551889 0.833917i \(-0.313907\pi\)
−0.446249 + 0.894909i \(0.647240\pi\)
\(458\) 10.0000i 0.467269i
\(459\) 29.7846 1.39023
\(460\) 6.92820 6.92820i 0.323029 0.323029i
\(461\) 35.6865 9.56218i 1.66209 0.445355i 0.699127 0.714997i \(-0.253572\pi\)
0.962961 + 0.269642i \(0.0869055\pi\)
\(462\) −14.6603 + 25.3923i −0.682057 + 1.18136i
\(463\) 1.19615 + 2.07180i 0.0555899 + 0.0962846i 0.892481 0.451085i \(-0.148963\pi\)
−0.836891 + 0.547369i \(0.815629\pi\)
\(464\) 2.53590 9.46410i 0.117726 0.439360i
\(465\) −0.928203 0.248711i −0.0430444 0.0115337i
\(466\) 4.36603 1.16987i 0.202252 0.0541933i
\(467\) 2.63397 + 2.63397i 0.121886 + 0.121886i 0.765419 0.643533i \(-0.222532\pi\)
−0.643533 + 0.765419i \(0.722532\pi\)
\(468\) 14.7846 14.7846i 0.683419 0.683419i
\(469\) −13.1962 + 13.1962i −0.609342 + 0.609342i
\(470\) 9.71281 + 5.60770i 0.448019 + 0.258664i
\(471\) −6.00000 6.00000i −0.276465 0.276465i
\(472\) −10.7321 18.5885i −0.493983 0.855603i
\(473\) −32.7224 + 18.8923i −1.50458 + 0.868669i
\(474\) −20.7846 + 20.7846i −0.954669 + 0.954669i
\(475\) 3.40192 + 12.6962i 0.156091 + 0.582539i
\(476\) 31.3205 1.43557
\(477\) 30.5885 + 8.19615i 1.40055 + 0.375276i
\(478\) 15.8038 15.8038i 0.722851 0.722851i
\(479\) 4.16987 7.22243i 0.190526 0.330001i −0.754898 0.655842i \(-0.772314\pi\)
0.945425 + 0.325840i \(0.105647\pi\)
\(480\) 8.78461 5.07180i 0.400961 0.231495i
\(481\) −11.6603 20.1962i −0.531662 0.920865i
\(482\) −31.6865 8.49038i −1.44328 0.386726i
\(483\) −11.1962 + 19.3923i −0.509443 + 0.882380i
\(484\) 8.19615 14.1962i 0.372552 0.645280i
\(485\) −8.58846 + 8.58846i −0.389982 + 0.389982i
\(486\) −15.5885 + 15.5885i −0.707107 + 0.707107i
\(487\) 5.80385i 0.262997i 0.991316 + 0.131499i \(0.0419789\pi\)
−0.991316 + 0.131499i \(0.958021\pi\)
\(488\) −28.3923 16.3923i −1.28526 0.742045i
\(489\) −16.5622 + 4.43782i −0.748968 + 0.200685i
\(490\) −0.588457 + 0.339746i −0.0265838 + 0.0153482i
\(491\) −13.8923 3.72243i −0.626951 0.167991i −0.0686652 0.997640i \(-0.521874\pi\)
−0.558286 + 0.829649i \(0.688541\pi\)
\(492\) −5.19615 9.00000i −0.234261 0.405751i
\(493\) −13.5622 + 3.63397i −0.610810 + 0.163666i
\(494\) −11.6603 11.6603i −0.524620 0.524620i
\(495\) 11.7846 6.80385i 0.529679 0.305810i
\(496\) −2.14359 −0.0962502
\(497\) −4.00000 + 6.92820i −0.179425 + 0.310772i
\(498\) −3.46410 −0.155230
\(499\) −2.33013 + 8.69615i −0.104311 + 0.389293i −0.998266 0.0588630i \(-0.981252\pi\)
0.893955 + 0.448156i \(0.147919\pi\)
\(500\) 17.8564 + 4.78461i 0.798563 + 0.213974i
\(501\) 12.9282i 0.577590i
\(502\) −10.0981 5.83013i −0.450699 0.260211i
\(503\) 27.7128i 1.23565i −0.786314 0.617827i \(-0.788013\pi\)
0.786314 0.617827i \(-0.211987\pi\)
\(504\) −16.3923 + 16.3923i −0.730171 + 0.730171i
\(505\) 2.14359i 0.0953887i
\(506\) 14.6603 25.3923i 0.651728 1.12883i
\(507\) 1.28461 0.741670i 0.0570515 0.0329387i
\(508\) −7.26795 + 4.19615i −0.322463 + 0.186174i
\(509\) 3.07180 11.4641i 0.136155 0.508137i −0.863835 0.503774i \(-0.831944\pi\)
0.999990 0.00436335i \(-0.00138890\pi\)
\(510\) −12.5885 7.26795i −0.557426 0.321830i
\(511\) 8.56218 14.8301i 0.378768 0.656046i
\(512\) 16.0000 16.0000i 0.707107 0.707107i
\(513\) 12.2942 + 12.2942i 0.542803 + 0.542803i
\(514\) −18.8564 + 18.8564i −0.831720 + 0.831720i
\(515\) 15.1244 4.05256i 0.666459 0.178577i
\(516\) −28.8564 + 7.73205i −1.27033 + 0.340385i
\(517\) 32.4186 + 8.68653i 1.42577 + 0.382033i
\(518\) 12.9282 + 22.3923i 0.568033 + 0.983861i
\(519\) 0.758330 2.83013i 0.0332870 0.124229i
\(520\) −9.85641 + 2.64102i −0.432232 + 0.115816i
\(521\) 13.0000i 0.569540i 0.958596 + 0.284770i \(0.0919173\pi\)
−0.958596 + 0.284770i \(0.908083\pi\)
\(522\) 5.19615 9.00000i 0.227429 0.393919i
\(523\) −7.53590 + 7.53590i −0.329522 + 0.329522i −0.852405 0.522883i \(-0.824857\pi\)
0.522883 + 0.852405i \(0.324857\pi\)
\(524\) 4.19615 + 15.6603i 0.183310 + 0.684121i
\(525\) −18.5885 −0.811267
\(526\) 1.05256 3.92820i 0.0458937 0.171278i
\(527\) 1.53590 + 2.66025i 0.0669048 + 0.115882i
\(528\) 21.4641 21.4641i 0.934105 0.934105i
\(529\) −0.303848 + 0.526279i −0.0132108 + 0.0228817i
\(530\) −10.9282 10.9282i −0.474691 0.474691i
\(531\) −5.89230 21.9904i −0.255704 0.954301i
\(532\) 12.9282 + 12.9282i 0.560509 + 0.560509i
\(533\) 2.70577 + 10.0981i 0.117200 + 0.437396i
\(534\) 1.26795 4.73205i 0.0548695 0.204776i
\(535\) 15.8372 9.14359i 0.684701 0.395312i
\(536\) 16.7321 9.66025i 0.722715 0.417259i
\(537\) −4.56218 + 1.22243i −0.196873 + 0.0527518i
\(538\) −1.26795 + 2.19615i −0.0546652 + 0.0946829i
\(539\) −1.43782 + 1.43782i −0.0619314 + 0.0619314i
\(540\) 10.3923 2.78461i 0.447214 0.119831i
\(541\) 2.19615 + 2.19615i 0.0944200 + 0.0944200i 0.752739 0.658319i \(-0.228732\pi\)
−0.658319 + 0.752739i \(0.728732\pi\)
\(542\) −0.143594 0.535898i −0.00616787 0.0230188i
\(543\) 4.68653 + 17.4904i 0.201118 + 0.750584i
\(544\) −31.3205 8.39230i −1.34286 0.359817i
\(545\) 7.85641 + 13.6077i 0.336531 + 0.582890i
\(546\) 20.1962 11.6603i 0.864316 0.499013i
\(547\) 32.6244 8.74167i 1.39492 0.373767i 0.518400 0.855138i \(-0.326528\pi\)
0.876517 + 0.481371i \(0.159861\pi\)
\(548\) −19.0718 −0.814707
\(549\) −24.5885 24.5885i −1.04941 1.04941i
\(550\) 24.3397 1.03785
\(551\) −7.09808 4.09808i −0.302388 0.174584i
\(552\) 16.3923 16.3923i 0.697703 0.697703i
\(553\) −28.3923 + 16.3923i −1.20736 + 0.697072i
\(554\) 31.9808 18.4641i 1.35873 0.784465i
\(555\) 12.0000i 0.509372i
\(556\) 22.8564 6.12436i 0.969328 0.259731i
\(557\) −14.8038 14.8038i −0.627259 0.627259i 0.320118 0.947378i \(-0.396277\pi\)
−0.947378 + 0.320118i \(0.896277\pi\)
\(558\) −2.19615 0.588457i −0.0929705 0.0249114i
\(559\) 30.0526 1.27109
\(560\) 10.9282 2.92820i 0.461801 0.123739i
\(561\) −42.0167 11.2583i −1.77394 0.475327i
\(562\) 3.66025 13.6603i 0.154398 0.576223i
\(563\) −7.23205 + 26.9904i −0.304795 + 1.13751i 0.628327 + 0.777949i \(0.283740\pi\)
−0.933122 + 0.359560i \(0.882927\pi\)
\(564\) 22.9808 + 13.2679i 0.967665 + 0.558681i
\(565\) −3.71281 13.8564i −0.156199 0.582943i
\(566\) 28.6410i 1.20387i
\(567\) −21.2942 + 12.2942i −0.894274 + 0.516309i
\(568\) 5.85641 5.85641i 0.245729 0.245729i
\(569\) −18.4019 10.6244i −0.771449 0.445396i 0.0619424 0.998080i \(-0.480270\pi\)
−0.833391 + 0.552684i \(0.813604\pi\)
\(570\) −2.19615 8.19615i −0.0919867 0.343299i
\(571\) −3.33013 0.892305i −0.139361 0.0373418i 0.188464 0.982080i \(-0.439649\pi\)
−0.327825 + 0.944738i \(0.606316\pi\)
\(572\) −26.4449 + 15.2679i −1.10572 + 0.638385i
\(573\) 20.8301 + 36.0788i 0.870191 + 1.50722i
\(574\) −3.00000 11.1962i −0.125218 0.467318i
\(575\) 18.5885 0.775192
\(576\) 20.7846 12.0000i 0.866025 0.500000i
\(577\) −5.78461 −0.240816 −0.120408 0.992724i \(-0.538420\pi\)
−0.120408 + 0.992724i \(0.538420\pi\)
\(578\) 5.80385 + 21.6603i 0.241408 + 0.900948i
\(579\) −37.6410 −1.56431
\(580\) −4.39230 + 2.53590i −0.182381 + 0.105297i
\(581\) −3.73205 1.00000i −0.154832 0.0414870i
\(582\) −20.3205 + 20.3205i −0.842312 + 0.842312i
\(583\) −40.0526 23.1244i −1.65881 0.957713i
\(584\) −12.5359 + 12.5359i −0.518739 + 0.518739i
\(585\) −10.8231 −0.447480
\(586\) 7.85641i 0.324545i
\(587\) 7.23205 + 26.9904i 0.298499 + 1.11401i 0.938399 + 0.345554i \(0.112309\pi\)
−0.639900 + 0.768458i \(0.721024\pi\)
\(588\) −1.39230 + 0.803848i −0.0574177 + 0.0331501i
\(589\) −0.464102 + 1.73205i −0.0191230 + 0.0713679i
\(590\) −2.87564 + 10.7321i −0.118388 + 0.441832i
\(591\) −8.66025 32.3205i −0.356235 1.32949i
\(592\) −6.92820 25.8564i −0.284747 1.06269i
\(593\) 17.4641 0.717165 0.358582 0.933498i \(-0.383260\pi\)
0.358582 + 0.933498i \(0.383260\pi\)
\(594\) 27.8827 16.0981i 1.14404 0.660512i
\(595\) −11.4641 11.4641i −0.469982 0.469982i
\(596\) −15.6603 + 4.19615i −0.641469 + 0.171881i
\(597\) 37.6865 + 21.7583i 1.54241 + 0.890509i
\(598\) −20.1962 + 11.6603i −0.825882 + 0.476823i
\(599\) 11.3205 6.53590i 0.462543 0.267050i −0.250570 0.968099i \(-0.580618\pi\)
0.713113 + 0.701049i \(0.247285\pi\)
\(600\) 18.5885 + 4.98076i 0.758871 + 0.203339i
\(601\) −20.5526 11.8660i −0.838356 0.484025i 0.0183488 0.999832i \(-0.494159\pi\)
−0.856705 + 0.515806i \(0.827492\pi\)
\(602\) −33.3205 −1.35804
\(603\) 19.7942 5.30385i 0.806083 0.215989i
\(604\) −1.46410 −0.0595734
\(605\) −8.19615 + 2.19615i −0.333221 + 0.0892863i
\(606\) 5.07180i 0.206028i
\(607\) −8.58846 14.8756i −0.348595 0.603784i 0.637405 0.770529i \(-0.280008\pi\)
−0.986000 + 0.166745i \(0.946674\pi\)
\(608\) −9.46410 16.3923i −0.383820 0.664796i
\(609\) 8.19615 8.19615i 0.332125 0.332125i
\(610\) 4.39230 + 16.3923i 0.177839 + 0.663705i
\(611\) −18.8756 18.8756i −0.763627 0.763627i
\(612\) −29.7846 17.1962i −1.20397 0.695113i
\(613\) −15.6603 + 15.6603i −0.632512 + 0.632512i −0.948697 0.316186i \(-0.897598\pi\)
0.316186 + 0.948697i \(0.397598\pi\)
\(614\) −3.02628 + 5.24167i −0.122131 + 0.211537i
\(615\) −1.39230 + 5.19615i −0.0561432 + 0.209529i
\(616\) 29.3205 16.9282i 1.18136 0.682057i
\(617\) −35.0885 + 20.2583i −1.41261 + 0.815570i −0.995633 0.0933485i \(-0.970243\pi\)
−0.416975 + 0.908918i \(0.636910\pi\)
\(618\) 35.7846 9.58846i 1.43947 0.385704i
\(619\) 4.17949 + 15.5981i 0.167988 + 0.626940i 0.997640 + 0.0686590i \(0.0218721\pi\)
−0.829652 + 0.558281i \(0.811461\pi\)
\(620\) 0.784610 + 0.784610i 0.0315107 + 0.0315107i
\(621\) 21.2942 12.2942i 0.854508 0.493350i
\(622\) −22.0526 22.0526i −0.884227 0.884227i
\(623\) 2.73205 4.73205i 0.109457 0.189586i
\(624\) −23.3205 + 6.24871i −0.933567 + 0.250149i
\(625\) 5.03590 + 8.72243i 0.201436 + 0.348897i
\(626\) −7.88269 + 29.4186i −0.315055 + 1.17580i
\(627\) −12.6962 21.9904i −0.507035 0.878211i
\(628\) 2.53590 + 9.46410i 0.101193 + 0.377659i
\(629\) −27.1244 + 27.1244i −1.08152 + 1.08152i
\(630\) 12.0000 0.478091
\(631\) 17.6077i 0.700951i 0.936572 + 0.350476i \(0.113980\pi\)
−0.936572 + 0.350476i \(0.886020\pi\)
\(632\) 32.7846 8.78461i 1.30410 0.349433i
\(633\) 5.19615 + 5.19615i 0.206529 + 0.206529i
\(634\) −15.0526 26.0718i −0.597813 1.03544i
\(635\) 4.19615 + 1.12436i 0.166519 + 0.0446187i
\(636\) −25.8564 25.8564i −1.02527 1.02527i
\(637\) 1.56218 0.418584i 0.0618957 0.0165849i
\(638\) −10.7321 + 10.7321i −0.424886 + 0.424886i
\(639\) 7.60770 4.39230i 0.300956 0.173757i
\(640\) −11.7128 −0.462990
\(641\) −19.7942 + 34.2846i −0.781825 + 1.35416i 0.149053 + 0.988829i \(0.452378\pi\)
−0.930878 + 0.365331i \(0.880956\pi\)
\(642\) 37.4711 21.6340i 1.47887 0.853825i
\(643\) −2.34936 + 8.76795i −0.0926499 + 0.345774i −0.996653 0.0817525i \(-0.973948\pi\)
0.904003 + 0.427527i \(0.140615\pi\)
\(644\) 22.3923 12.9282i 0.882380 0.509443i
\(645\) 13.3923 + 7.73205i 0.527321 + 0.304449i
\(646\) −13.5622 + 23.4904i −0.533597 + 0.924217i
\(647\) 16.7321i 0.657805i 0.944364 + 0.328902i \(0.106679\pi\)
−0.944364 + 0.328902i \(0.893321\pi\)
\(648\) 24.5885 6.58846i 0.965926 0.258819i
\(649\) 33.2487i 1.30513i
\(650\) −16.7654 9.67949i −0.657592 0.379661i
\(651\) −2.19615 1.26795i −0.0860740 0.0496948i
\(652\) 19.1244 + 5.12436i 0.748968 + 0.200685i
\(653\) 7.36603 27.4904i 0.288255 1.07578i −0.658173 0.752867i \(-0.728671\pi\)
0.946428 0.322915i \(-0.104663\pi\)
\(654\) 18.5885 + 32.1962i 0.726866 + 1.25897i
\(655\) 4.19615 7.26795i 0.163957 0.283982i
\(656\) 12.0000i 0.468521i
\(657\) −16.2846 + 9.40192i −0.635323 + 0.366804i
\(658\) 20.9282 + 20.9282i 0.815866 + 0.815866i
\(659\) −15.0263 + 4.02628i −0.585341 + 0.156842i −0.539323 0.842099i \(-0.681320\pi\)
−0.0460178 + 0.998941i \(0.514653\pi\)
\(660\) −15.7128 −0.611620
\(661\) −8.19615 2.19615i −0.318793 0.0854204i 0.0958740 0.995393i \(-0.469435\pi\)
−0.414667 + 0.909973i \(0.636102\pi\)
\(662\) −0.124356 + 0.0717968i −0.00483322 + 0.00279046i
\(663\) 24.4641 + 24.4641i 0.950107 + 0.950107i
\(664\) 3.46410 + 2.00000i 0.134433 + 0.0776151i
\(665\) 9.46410i 0.367002i
\(666\) 28.3923i 1.10018i
\(667\) −8.19615 + 8.19615i −0.317356 + 0.317356i
\(668\) −7.46410 + 12.9282i −0.288795 + 0.500207i
\(669\) 13.9019 + 24.0788i 0.537479 + 0.930942i
\(670\) −9.66025 2.58846i −0.373208 0.100001i
\(671\) 25.3923 + 43.9808i 0.980259 + 1.69786i
\(672\) 25.8564 6.92820i 0.997433 0.267261i
\(673\) 19.1962 33.2487i 0.739957 1.28164i −0.212557 0.977149i \(-0.568179\pi\)
0.952514 0.304495i \(-0.0984877\pi\)
\(674\) −17.7846 + 17.7846i −0.685038 + 0.685038i
\(675\) 17.6769 + 10.2058i 0.680385 + 0.392820i
\(676\) −1.71281 −0.0658774
\(677\) 1.26795 + 4.73205i 0.0487312 + 0.181867i 0.986002 0.166736i \(-0.0533227\pi\)
−0.937270 + 0.348603i \(0.886656\pi\)
\(678\) −8.78461 32.7846i −0.337371 1.25909i
\(679\) −27.7583 + 16.0263i −1.06527 + 0.615032i
\(680\) 8.39230 + 14.5359i 0.321830 + 0.557426i
\(681\) 0.990381 3.69615i 0.0379515 0.141637i
\(682\) 2.87564 + 1.66025i 0.110114 + 0.0635744i
\(683\) −20.2942 + 20.2942i −0.776537 + 0.776537i −0.979240 0.202703i \(-0.935027\pi\)
0.202703 + 0.979240i \(0.435027\pi\)
\(684\) −5.19615 19.3923i −0.198680 0.741483i
\(685\) 6.98076 + 6.98076i 0.266721 + 0.266721i
\(686\) 24.3923 6.53590i 0.931303 0.249542i
\(687\) 8.66025 8.66025i 0.330409 0.330409i
\(688\) 33.3205 + 8.92820i 1.27033 + 0.340385i
\(689\) 18.3923 + 31.8564i 0.700691 + 1.21363i
\(690\) −12.0000 −0.456832
\(691\) 9.29423 2.49038i 0.353569 0.0947386i −0.0776628 0.996980i \(-0.524746\pi\)
0.431232 + 0.902241i \(0.358079\pi\)
\(692\) −2.39230 + 2.39230i −0.0909418 + 0.0909418i
\(693\) 34.6865 9.29423i 1.31763 0.353059i
\(694\) 25.8038i 0.979501i
\(695\) −10.6077 6.12436i −0.402373 0.232310i
\(696\) −10.3923 + 6.00000i −0.393919 + 0.227429i
\(697\) 14.8923 8.59808i 0.564086 0.325675i
\(698\) 11.6603 + 20.1962i 0.441347 + 0.764436i
\(699\) −4.79423 2.76795i −0.181334 0.104693i
\(700\) 18.5885 + 10.7321i 0.702578 + 0.405633i
\(701\) −6.66025 6.66025i −0.251554 0.251554i 0.570053 0.821608i \(-0.306923\pi\)
−0.821608 + 0.570053i \(0.806923\pi\)
\(702\) −25.6077 −0.966500
\(703\) −22.3923 −0.844542
\(704\) −33.8564 + 9.07180i −1.27601 + 0.341906i
\(705\) −3.55514 13.2679i −0.133894 0.499700i
\(706\) 19.5622 + 5.24167i 0.736232 + 0.197273i
\(707\) −1.46410 + 5.46410i −0.0550632 + 0.205499i
\(708\) −6.80385 + 25.3923i −0.255704 + 0.954301i
\(709\) −9.80385 36.5885i −0.368191 1.37411i −0.863043 0.505131i \(-0.831444\pi\)
0.494852 0.868978i \(-0.335222\pi\)
\(710\) −4.28719 −0.160895
\(711\) 36.0000 1.35011
\(712\) −4.00000 + 4.00000i −0.149906 + 0.149906i
\(713\) 2.19615 + 1.26795i 0.0822466 + 0.0474851i
\(714\) −27.1244 27.1244i −1.01510 1.01510i
\(715\) 15.2679 + 4.09103i 0.570989 + 0.152996i
\(716\) 5.26795 + 1.41154i 0.196873 + 0.0527518i
\(717\) −27.3731 −1.02227
\(718\) −15.3923 + 4.12436i −0.574436 + 0.153920i
\(719\) 4.39230 0.163805 0.0819027 0.996640i \(-0.473900\pi\)
0.0819027 + 0.996640i \(0.473900\pi\)
\(720\) −12.0000 3.21539i −0.447214 0.119831i
\(721\) 41.3205 1.53886
\(722\) 10.6603 2.85641i 0.396734 0.106304i
\(723\) 20.0885 + 34.7942i 0.747098 + 1.29401i
\(724\) 5.41154 20.1962i 0.201118 0.750584i
\(725\) −9.29423 2.49038i −0.345179 0.0924904i
\(726\) −19.3923 + 5.19615i −0.719716 + 0.192847i
\(727\) −28.8109 16.6340i −1.06854 0.616920i −0.140755 0.990044i \(-0.544953\pi\)
−0.927781 + 0.373124i \(0.878286\pi\)
\(728\) −26.9282 −0.998026
\(729\) 27.0000 1.00000
\(730\) 9.17691 0.339653
\(731\) −12.7942 47.7487i −0.473212 1.76605i
\(732\) 10.3923 + 38.7846i 0.384111 + 1.43352i
\(733\) 2.95448 11.0263i 0.109126 0.407265i −0.889654 0.456635i \(-0.849055\pi\)
0.998781 + 0.0493698i \(0.0157213\pi\)
\(734\) 38.5885 + 10.3397i 1.42433 + 0.381647i
\(735\) 0.803848 + 0.215390i 0.0296504 + 0.00794479i
\(736\) −25.8564 + 6.92820i −0.953080 + 0.255377i
\(737\) −29.9282 −1.10242
\(738\) −3.29423 + 12.2942i −0.121262 + 0.452557i
\(739\) −8.22243 8.22243i −0.302467 0.302467i 0.539511 0.841978i \(-0.318609\pi\)
−0.841978 + 0.539511i \(0.818609\pi\)
\(740\) −6.92820 + 12.0000i −0.254686 + 0.441129i
\(741\) 20.1962i 0.741924i
\(742\) −20.3923 35.3205i −0.748625 1.29666i
\(743\) 24.7583 14.2942i 0.908295 0.524404i 0.0284129 0.999596i \(-0.490955\pi\)
0.879882 + 0.475192i \(0.157621\pi\)
\(744\) 1.85641 + 1.85641i 0.0680592 + 0.0680592i
\(745\) 7.26795 + 4.19615i 0.266277 + 0.153735i
\(746\) 40.2487i 1.47361i
\(747\) 3.00000 + 3.00000i 0.109764 + 0.109764i
\(748\) 35.5167 + 35.5167i 1.29862 + 1.29862i
\(749\) 46.6147 12.4904i 1.70327 0.456389i
\(750\) −11.3205 19.6077i −0.413367 0.715972i
\(751\) −8.85641 15.3397i −0.323175 0.559755i 0.657966 0.753047i \(-0.271417\pi\)
−0.981141 + 0.193292i \(0.938084\pi\)
\(752\) −15.3205 26.5359i −0.558681 0.967665i
\(753\) 3.69615 + 13.7942i 0.134695 + 0.502690i
\(754\) 11.6603 3.12436i 0.424641 0.113782i
\(755\) 0.535898 + 0.535898i 0.0195033 + 0.0195033i
\(756\) 28.3923 1.03262
\(757\) −19.9282 + 19.9282i −0.724303 + 0.724303i −0.969479 0.245176i \(-0.921154\pi\)
0.245176 + 0.969479i \(0.421154\pi\)
\(758\) 6.50962 + 3.75833i 0.236440 + 0.136509i
\(759\) −34.6865 + 9.29423i −1.25904 + 0.337359i
\(760\) −2.53590 + 9.46410i −0.0919867 + 0.343299i
\(761\) 45.3731 26.1962i 1.64477 0.949610i 0.665669 0.746247i \(-0.268146\pi\)
0.979104 0.203363i \(-0.0651870\pi\)
\(762\) 9.92820 + 2.66025i 0.359661 + 0.0963708i
\(763\) 10.7321 + 40.0526i 0.388526 + 1.45000i
\(764\) 48.1051i 1.74038i
\(765\) 4.60770 + 17.1962i 0.166592 + 0.621728i
\(766\) 13.4641 13.4641i 0.486478 0.486478i
\(767\) 13.2224 22.9019i 0.477434 0.826941i
\(768\) −27.7128 −1.00000
\(769\) −14.1244 24.4641i −0.509337 0.882198i −0.999942 0.0108155i \(-0.996557\pi\)
0.490604 0.871383i \(-0.336776\pi\)
\(770\) −16.9282 4.53590i −0.610050 0.163462i
\(771\) 32.6603 1.17623
\(772\) 37.6410 + 21.7321i 1.35473 + 0.782154i