Properties

Label 80.2.j.b.43.2
Level $80$
Weight $2$
Character 80.43
Analytic conductor $0.639$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 80.j (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.638803216170\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(9\) over \(\Q(i)\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + 74 x^{8} + 24 x^{7} - 80 x^{6} - 224 x^{5} - 160 x^{4} - 256 x^{3} + 256 x^{2} + 512\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{6} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 43.2
Root \(1.41323 + 0.0526497i\) of defining polynomial
Character \(\chi\) \(=\) 80.43
Dual form 80.2.j.b.67.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31641 + 0.516777i) q^{2} +1.28110i q^{3} +(1.46588 - 1.36058i) q^{4} +(-0.841703 + 2.07160i) q^{5} +(-0.662041 - 1.68645i) q^{6} +(-1.13975 + 1.13975i) q^{7} +(-1.22659 + 2.54862i) q^{8} +1.35879 q^{9} +O(q^{10})\) \(q+(-1.31641 + 0.516777i) q^{2} +1.28110i q^{3} +(1.46588 - 1.36058i) q^{4} +(-0.841703 + 2.07160i) q^{5} +(-0.662041 - 1.68645i) q^{6} +(-1.13975 + 1.13975i) q^{7} +(-1.22659 + 2.54862i) q^{8} +1.35879 q^{9} +(0.0374711 - 3.16206i) q^{10} +(-2.32204 + 2.32204i) q^{11} +(1.74304 + 1.87794i) q^{12} +1.36502 q^{13} +(0.911384 - 2.08938i) q^{14} +(-2.65392 - 1.07830i) q^{15} +(0.297625 - 3.98891i) q^{16} +(5.25380 - 5.25380i) q^{17} +(-1.78873 + 0.702192i) q^{18} +(3.69752 - 3.69752i) q^{19} +(1.58475 + 4.18193i) q^{20} +(-1.46013 - 1.46013i) q^{21} +(1.85678 - 4.25673i) q^{22} +(-0.911118 - 0.911118i) q^{23} +(-3.26503 - 1.57138i) q^{24} +(-3.58307 - 3.48735i) q^{25} +(-1.79693 + 0.705412i) q^{26} +5.58403i q^{27} +(-0.120015 + 3.22146i) q^{28} +(2.37343 + 2.37343i) q^{29} +(4.05090 + 0.0480041i) q^{30} +0.242577i q^{31} +(1.66958 + 5.40486i) q^{32} +(-2.97475 - 2.97475i) q^{33} +(-4.20112 + 9.63121i) q^{34} +(-1.40178 - 3.32044i) q^{35} +(1.99183 - 1.84875i) q^{36} -3.34494 q^{37} +(-2.95666 + 6.77825i) q^{38} +1.74872i q^{39} +(-4.24731 - 4.68619i) q^{40} +2.66956i q^{41} +(2.67669 + 1.16757i) q^{42} +9.04874 q^{43} +(-0.244509 + 6.56316i) q^{44} +(-1.14370 + 2.81488i) q^{45} +(1.67025 + 0.728562i) q^{46} +(-7.87820 - 7.87820i) q^{47} +(5.11018 + 0.381287i) q^{48} +4.40194i q^{49} +(6.51898 + 2.73914i) q^{50} +(6.73063 + 6.73063i) q^{51} +(2.00096 - 1.85723i) q^{52} -5.80113i q^{53} +(-2.88570 - 7.35089i) q^{54} +(-2.85587 - 6.76480i) q^{55} +(-1.50679 - 4.30279i) q^{56} +(4.73688 + 4.73688i) q^{57} +(-4.35095 - 1.89788i) q^{58} +(-5.91474 - 5.91474i) q^{59} +(-5.35746 + 2.03022i) q^{60} +(-6.67404 + 6.67404i) q^{61} +(-0.125358 - 0.319332i) q^{62} +(-1.54868 + 1.54868i) q^{63} +(-4.99096 - 6.25222i) q^{64} +(-1.14894 + 2.82778i) q^{65} +(5.45328 + 2.37872i) q^{66} -4.54673 q^{67} +(0.553222 - 14.8497i) q^{68} +(1.16723 - 1.16723i) q^{69} +(3.56124 + 3.64666i) q^{70} +15.4389 q^{71} +(-1.66668 + 3.46305i) q^{72} +(1.49307 - 1.49307i) q^{73} +(4.40332 - 1.72859i) q^{74} +(4.46763 - 4.59026i) q^{75} +(0.389347 - 10.4509i) q^{76} -5.29308i q^{77} +(-0.903701 - 2.30204i) q^{78} +10.3024 q^{79} +(8.01293 + 3.97404i) q^{80} -3.07731 q^{81} +(-1.37957 - 3.51424i) q^{82} +3.26589i q^{83} +(-4.12701 - 0.153751i) q^{84} +(6.46165 + 15.3059i) q^{85} +(-11.9119 + 4.67618i) q^{86} +(-3.04060 + 3.04060i) q^{87} +(-3.06981 - 8.76618i) q^{88} -9.77206 q^{89} +(0.0509154 - 4.29657i) q^{90} +(-1.55578 + 1.55578i) q^{91} +(-2.57524 - 0.0959403i) q^{92} -0.310765 q^{93} +(14.4422 + 6.29969i) q^{94} +(4.54758 + 10.7720i) q^{95} +(-6.92415 + 2.13889i) q^{96} +(-1.63587 + 1.63587i) q^{97} +(-2.27482 - 5.79477i) q^{98} +(-3.15516 + 3.15516i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q - 4 q^{2} - 4 q^{4} - 4 q^{5} - 8 q^{6} + 2 q^{7} - 4 q^{8} - 10 q^{9} + O(q^{10}) \) \( 18 q - 4 q^{2} - 4 q^{4} - 4 q^{5} - 8 q^{6} + 2 q^{7} - 4 q^{8} - 10 q^{9} - 12 q^{10} - 2 q^{11} + 4 q^{12} + 12 q^{14} + 20 q^{15} - 6 q^{17} + 16 q^{18} + 2 q^{19} - 4 q^{20} - 16 q^{21} + 4 q^{22} - 2 q^{23} + 4 q^{24} + 6 q^{25} - 16 q^{26} - 4 q^{28} - 14 q^{29} + 20 q^{30} - 4 q^{32} - 8 q^{33} - 28 q^{34} - 6 q^{35} - 4 q^{36} + 8 q^{37} + 16 q^{38} + 20 q^{40} + 28 q^{42} - 44 q^{43} + 44 q^{44} - 4 q^{45} + 12 q^{46} - 38 q^{47} + 60 q^{48} + 20 q^{50} + 8 q^{51} - 40 q^{52} - 4 q^{54} - 6 q^{55} + 20 q^{56} + 24 q^{57} - 20 q^{58} - 10 q^{59} - 68 q^{60} + 14 q^{61} + 6 q^{63} - 16 q^{64} + 4 q^{66} + 12 q^{67} + 36 q^{68} + 32 q^{69} - 36 q^{70} + 24 q^{71} - 36 q^{72} + 14 q^{73} + 48 q^{74} + 64 q^{75} - 16 q^{76} - 84 q^{78} + 16 q^{79} - 20 q^{80} + 2 q^{81} - 28 q^{82} - 24 q^{84} - 10 q^{85} - 36 q^{86} + 24 q^{87} - 96 q^{88} - 12 q^{89} - 64 q^{90} + 52 q^{92} + 16 q^{93} + 28 q^{94} - 34 q^{95} - 40 q^{96} + 18 q^{97} + 32 q^{98} - 22 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{4}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31641 + 0.516777i −0.930844 + 0.365417i
\(3\) 1.28110i 0.739642i 0.929103 + 0.369821i \(0.120581\pi\)
−0.929103 + 0.369821i \(0.879419\pi\)
\(4\) 1.46588 1.36058i 0.732941 0.680292i
\(5\) −0.841703 + 2.07160i −0.376421 + 0.926449i
\(6\) −0.662041 1.68645i −0.270277 0.688491i
\(7\) −1.13975 + 1.13975i −0.430785 + 0.430785i −0.888895 0.458111i \(-0.848526\pi\)
0.458111 + 0.888895i \(0.348526\pi\)
\(8\) −1.22659 + 2.54862i −0.433664 + 0.901074i
\(9\) 1.35879 0.452930
\(10\) 0.0374711 3.16206i 0.0118494 0.999930i
\(11\) −2.32204 + 2.32204i −0.700120 + 0.700120i −0.964436 0.264316i \(-0.914854\pi\)
0.264316 + 0.964436i \(0.414854\pi\)
\(12\) 1.74304 + 1.87794i 0.503172 + 0.542114i
\(13\) 1.36502 0.378589 0.189294 0.981920i \(-0.439380\pi\)
0.189294 + 0.981920i \(0.439380\pi\)
\(14\) 0.911384 2.08938i 0.243578 0.558409i
\(15\) −2.65392 1.07830i −0.685240 0.278416i
\(16\) 0.297625 3.98891i 0.0744064 0.997228i
\(17\) 5.25380 5.25380i 1.27423 1.27423i 0.330389 0.943845i \(-0.392820\pi\)
0.943845 0.330389i \(-0.107180\pi\)
\(18\) −1.78873 + 0.702192i −0.421608 + 0.165508i
\(19\) 3.69752 3.69752i 0.848269 0.848269i −0.141648 0.989917i \(-0.545240\pi\)
0.989917 + 0.141648i \(0.0452403\pi\)
\(20\) 1.58475 + 4.18193i 0.354361 + 0.935109i
\(21\) −1.46013 1.46013i −0.318626 0.318626i
\(22\) 1.85678 4.25673i 0.395867 0.907538i
\(23\) −0.911118 0.911118i −0.189981 0.189981i 0.605707 0.795688i \(-0.292890\pi\)
−0.795688 + 0.605707i \(0.792890\pi\)
\(24\) −3.26503 1.57138i −0.666472 0.320756i
\(25\) −3.58307 3.48735i −0.716615 0.697469i
\(26\) −1.79693 + 0.705412i −0.352407 + 0.138343i
\(27\) 5.58403i 1.07465i
\(28\) −0.120015 + 3.22146i −0.0226807 + 0.608799i
\(29\) 2.37343 + 2.37343i 0.440736 + 0.440736i 0.892259 0.451524i \(-0.149119\pi\)
−0.451524 + 0.892259i \(0.649119\pi\)
\(30\) 4.05090 + 0.0480041i 0.739590 + 0.00876431i
\(31\) 0.242577i 0.0435681i 0.999763 + 0.0217841i \(0.00693463\pi\)
−0.999763 + 0.0217841i \(0.993065\pi\)
\(32\) 1.66958 + 5.40486i 0.295143 + 0.955453i
\(33\) −2.97475 2.97475i −0.517838 0.517838i
\(34\) −4.20112 + 9.63121i −0.720487 + 1.65174i
\(35\) −1.40178 3.32044i −0.236944 0.561256i
\(36\) 1.99183 1.84875i 0.331971 0.308125i
\(37\) −3.34494 −0.549905 −0.274953 0.961458i \(-0.588662\pi\)
−0.274953 + 0.961458i \(0.588662\pi\)
\(38\) −2.95666 + 6.77825i −0.479634 + 1.09958i
\(39\) 1.74872i 0.280020i
\(40\) −4.24731 4.68619i −0.671559 0.740951i
\(41\) 2.66956i 0.416915i 0.978031 + 0.208457i \(0.0668442\pi\)
−0.978031 + 0.208457i \(0.933156\pi\)
\(42\) 2.67669 + 1.16757i 0.413023 + 0.180160i
\(43\) 9.04874 1.37992 0.689960 0.723847i \(-0.257628\pi\)
0.689960 + 0.723847i \(0.257628\pi\)
\(44\) −0.244509 + 6.56316i −0.0368611 + 0.989433i
\(45\) −1.14370 + 2.81488i −0.170492 + 0.419617i
\(46\) 1.67025 + 0.728562i 0.246265 + 0.107421i
\(47\) −7.87820 7.87820i −1.14915 1.14915i −0.986719 0.162435i \(-0.948065\pi\)
−0.162435 0.986719i \(-0.551935\pi\)
\(48\) 5.11018 + 0.381287i 0.737591 + 0.0550340i
\(49\) 4.40194i 0.628849i
\(50\) 6.51898 + 2.73914i 0.921923 + 0.387372i
\(51\) 6.73063 + 6.73063i 0.942476 + 0.942476i
\(52\) 2.00096 1.85723i 0.277483 0.257551i
\(53\) 5.80113i 0.796846i −0.917202 0.398423i \(-0.869558\pi\)
0.917202 0.398423i \(-0.130442\pi\)
\(54\) −2.88570 7.35089i −0.392694 1.00033i
\(55\) −2.85587 6.76480i −0.385086 0.912165i
\(56\) −1.50679 4.30279i −0.201353 0.574985i
\(57\) 4.73688 + 4.73688i 0.627415 + 0.627415i
\(58\) −4.35095 1.89788i −0.571308 0.249204i
\(59\) −5.91474 5.91474i −0.770033 0.770033i 0.208079 0.978112i \(-0.433279\pi\)
−0.978112 + 0.208079i \(0.933279\pi\)
\(60\) −5.35746 + 2.03022i −0.691645 + 0.262100i
\(61\) −6.67404 + 6.67404i −0.854523 + 0.854523i −0.990686 0.136163i \(-0.956523\pi\)
0.136163 + 0.990686i \(0.456523\pi\)
\(62\) −0.125358 0.319332i −0.0159205 0.0405551i
\(63\) −1.54868 + 1.54868i −0.195116 + 0.195116i
\(64\) −4.99096 6.25222i −0.623870 0.781528i
\(65\) −1.14894 + 2.82778i −0.142509 + 0.350743i
\(66\) 5.45328 + 2.37872i 0.671253 + 0.292800i
\(67\) −4.54673 −0.555471 −0.277736 0.960658i \(-0.589584\pi\)
−0.277736 + 0.960658i \(0.589584\pi\)
\(68\) 0.553222 14.8497i 0.0670881 1.80079i
\(69\) 1.16723 1.16723i 0.140518 0.140518i
\(70\) 3.56124 + 3.64666i 0.425650 + 0.435859i
\(71\) 15.4389 1.83226 0.916128 0.400885i \(-0.131297\pi\)
0.916128 + 0.400885i \(0.131297\pi\)
\(72\) −1.66668 + 3.46305i −0.196420 + 0.408124i
\(73\) 1.49307 1.49307i 0.174750 0.174750i −0.614313 0.789063i \(-0.710567\pi\)
0.789063 + 0.614313i \(0.210567\pi\)
\(74\) 4.40332 1.72859i 0.511876 0.200944i
\(75\) 4.46763 4.59026i 0.515877 0.530038i
\(76\) 0.389347 10.4509i 0.0446611 1.19880i
\(77\) 5.29308i 0.603202i
\(78\) −0.903701 2.30204i −0.102324 0.260655i
\(79\) 10.3024 1.15911 0.579556 0.814932i \(-0.303226\pi\)
0.579556 + 0.814932i \(0.303226\pi\)
\(80\) 8.01293 + 3.97404i 0.895873 + 0.444311i
\(81\) −3.07731 −0.341924
\(82\) −1.37957 3.51424i −0.152348 0.388083i
\(83\) 3.26589i 0.358478i 0.983806 + 0.179239i \(0.0573636\pi\)
−0.983806 + 0.179239i \(0.942636\pi\)
\(84\) −4.12701 0.153751i −0.450293 0.0167756i
\(85\) 6.46165 + 15.3059i 0.700864 + 1.66016i
\(86\) −11.9119 + 4.67618i −1.28449 + 0.504246i
\(87\) −3.04060 + 3.04060i −0.325986 + 0.325986i
\(88\) −3.06981 8.76618i −0.327243 0.934477i
\(89\) −9.77206 −1.03584 −0.517918 0.855430i \(-0.673293\pi\)
−0.517918 + 0.855430i \(0.673293\pi\)
\(90\) 0.0509154 4.29657i 0.00536695 0.452899i
\(91\) −1.55578 + 1.55578i −0.163090 + 0.163090i
\(92\) −2.57524 0.0959403i −0.268488 0.0100025i
\(93\) −0.310765 −0.0322248
\(94\) 14.4422 + 6.29969i 1.48960 + 0.649763i
\(95\) 4.54758 + 10.7720i 0.466571 + 1.10518i
\(96\) −6.92415 + 2.13889i −0.706693 + 0.218300i
\(97\) −1.63587 + 1.63587i −0.166097 + 0.166097i −0.785262 0.619164i \(-0.787472\pi\)
0.619164 + 0.785262i \(0.287472\pi\)
\(98\) −2.27482 5.79477i −0.229792 0.585360i
\(99\) −3.15516 + 3.15516i −0.317106 + 0.317106i
\(100\) −9.99719 0.236971i −0.999719 0.0236971i
\(101\) −6.63953 6.63953i −0.660658 0.660658i 0.294877 0.955535i \(-0.404721\pi\)
−0.955535 + 0.294877i \(0.904721\pi\)
\(102\) −12.3385 5.38205i −1.22170 0.532902i
\(103\) 1.62219 + 1.62219i 0.159839 + 0.159839i 0.782496 0.622656i \(-0.213946\pi\)
−0.622656 + 0.782496i \(0.713946\pi\)
\(104\) −1.67432 + 3.47893i −0.164180 + 0.341137i
\(105\) 4.25380 1.79581i 0.415129 0.175253i
\(106\) 2.99789 + 7.63667i 0.291181 + 0.741739i
\(107\) 3.65206i 0.353058i −0.984295 0.176529i \(-0.943513\pi\)
0.984295 0.176529i \(-0.0564869\pi\)
\(108\) 7.59754 + 8.18554i 0.731074 + 0.787654i
\(109\) −5.20757 5.20757i −0.498795 0.498795i 0.412268 0.911063i \(-0.364737\pi\)
−0.911063 + 0.412268i \(0.864737\pi\)
\(110\) 7.25540 + 7.42941i 0.691775 + 0.708367i
\(111\) 4.28519i 0.406733i
\(112\) 4.20714 + 4.88558i 0.397537 + 0.461644i
\(113\) −4.27905 4.27905i −0.402539 0.402539i 0.476588 0.879127i \(-0.341873\pi\)
−0.879127 + 0.476588i \(0.841873\pi\)
\(114\) −8.68359 3.78777i −0.813293 0.354757i
\(115\) 2.65437 1.12058i 0.247521 0.104495i
\(116\) 6.70843 + 0.249921i 0.622862 + 0.0232046i
\(117\) 1.85478 0.171474
\(118\) 10.8428 + 4.72963i 0.998164 + 0.435398i
\(119\) 11.9760i 1.09784i
\(120\) 6.00346 5.44122i 0.548038 0.496713i
\(121\) 0.216302i 0.0196639i
\(122\) 5.33680 12.2348i 0.483171 1.10768i
\(123\) −3.41996 −0.308367
\(124\) 0.330046 + 0.355590i 0.0296390 + 0.0319329i
\(125\) 10.2403 4.48739i 0.915918 0.401365i
\(126\) 1.23838 2.83903i 0.110324 0.252921i
\(127\) 7.29257 + 7.29257i 0.647111 + 0.647111i 0.952294 0.305183i \(-0.0987175\pi\)
−0.305183 + 0.952294i \(0.598718\pi\)
\(128\) 9.80117 + 5.65129i 0.866309 + 0.499508i
\(129\) 11.5923i 1.02065i
\(130\) 0.0511488 4.31627i 0.00448605 0.378562i
\(131\) −11.9793 11.9793i −1.04664 1.04664i −0.998858 0.0477778i \(-0.984786\pi\)
−0.0477778 0.998858i \(-0.515214\pi\)
\(132\) −8.40804 0.313240i −0.731826 0.0272640i
\(133\) 8.42848i 0.730842i
\(134\) 5.98537 2.34965i 0.517057 0.202978i
\(135\) −11.5679 4.70010i −0.995606 0.404520i
\(136\) 6.94571 + 19.8342i 0.595590 + 1.70077i
\(137\) 4.92762 + 4.92762i 0.420995 + 0.420995i 0.885546 0.464551i \(-0.153784\pi\)
−0.464551 + 0.885546i \(0.653784\pi\)
\(138\) −0.933359 + 2.13975i −0.0794528 + 0.182148i
\(139\) −10.3015 10.3015i −0.873761 0.873761i 0.119119 0.992880i \(-0.461993\pi\)
−0.992880 + 0.119119i \(0.961993\pi\)
\(140\) −6.57257 2.96014i −0.555484 0.250177i
\(141\) 10.0927 10.0927i 0.849962 0.849962i
\(142\) −20.3239 + 7.97845i −1.70555 + 0.669537i
\(143\) −3.16963 + 3.16963i −0.265058 + 0.265058i
\(144\) 0.404411 5.42010i 0.0337009 0.451675i
\(145\) −6.91454 + 2.91909i −0.574221 + 0.242417i
\(146\) −1.19391 + 2.73707i −0.0988086 + 0.226522i
\(147\) −5.63931 −0.465123
\(148\) −4.90329 + 4.55107i −0.403048 + 0.374096i
\(149\) 15.2040 15.2040i 1.24556 1.24556i 0.287896 0.957662i \(-0.407044\pi\)
0.957662 0.287896i \(-0.0929557\pi\)
\(150\) −3.50910 + 8.35145i −0.286517 + 0.681893i
\(151\) −10.7055 −0.871204 −0.435602 0.900139i \(-0.643464\pi\)
−0.435602 + 0.900139i \(0.643464\pi\)
\(152\) 4.88825 + 13.9589i 0.396489 + 1.13222i
\(153\) 7.13882 7.13882i 0.577139 0.577139i
\(154\) 2.73534 + 6.96787i 0.220420 + 0.561487i
\(155\) −0.502523 0.204178i −0.0403636 0.0164000i
\(156\) 2.37929 + 2.56343i 0.190495 + 0.205238i
\(157\) 2.34588i 0.187222i −0.995609 0.0936108i \(-0.970159\pi\)
0.995609 0.0936108i \(-0.0298409\pi\)
\(158\) −13.5622 + 5.32405i −1.07895 + 0.423559i
\(159\) 7.43180 0.589380
\(160\) −12.6020 1.09058i −0.996276 0.0862177i
\(161\) 2.07689 0.163682
\(162\) 4.05101 1.59028i 0.318278 0.124945i
\(163\) 2.73625i 0.214319i −0.994242 0.107160i \(-0.965824\pi\)
0.994242 0.107160i \(-0.0341756\pi\)
\(164\) 3.63215 + 3.91326i 0.283624 + 0.305574i
\(165\) 8.66636 3.65865i 0.674675 0.284825i
\(166\) −1.68774 4.29926i −0.130994 0.333687i
\(167\) 10.1328 10.1328i 0.784097 0.784097i −0.196423 0.980519i \(-0.562932\pi\)
0.980519 + 0.196423i \(0.0629325\pi\)
\(168\) 5.51230 1.93034i 0.425283 0.148929i
\(169\) −11.1367 −0.856670
\(170\) −16.4159 16.8097i −1.25905 1.28924i
\(171\) 5.02415 5.02415i 0.384207 0.384207i
\(172\) 13.2644 12.3116i 1.01140 0.938748i
\(173\) −8.79590 −0.668740 −0.334370 0.942442i \(-0.608523\pi\)
−0.334370 + 0.942442i \(0.608523\pi\)
\(174\) 2.43137 5.57399i 0.184322 0.422563i
\(175\) 8.05851 0.109105i 0.609166 0.00824753i
\(176\) 8.57130 + 9.95349i 0.646086 + 0.750273i
\(177\) 7.57735 7.57735i 0.569549 0.569549i
\(178\) 12.8641 5.04998i 0.964202 0.378512i
\(179\) −6.62071 + 6.62071i −0.494855 + 0.494855i −0.909832 0.414977i \(-0.863790\pi\)
0.414977 + 0.909832i \(0.363790\pi\)
\(180\) 2.15335 + 5.68237i 0.160501 + 0.423539i
\(181\) −5.84339 5.84339i −0.434336 0.434336i 0.455765 0.890100i \(-0.349366\pi\)
−0.890100 + 0.455765i \(0.849366\pi\)
\(182\) 1.24406 2.85204i 0.0922157 0.211408i
\(183\) −8.55009 8.55009i −0.632041 0.632041i
\(184\) 3.43966 1.20453i 0.253575 0.0887992i
\(185\) 2.81545 6.92939i 0.206996 0.509459i
\(186\) 0.409095 0.160596i 0.0299963 0.0117755i
\(187\) 24.3990i 1.78423i
\(188\) −22.2675 0.829571i −1.62402 0.0605027i
\(189\) −6.36440 6.36440i −0.462942 0.462942i
\(190\) −11.5532 11.8303i −0.838158 0.858260i
\(191\) 1.83906i 0.133070i 0.997784 + 0.0665349i \(0.0211944\pi\)
−0.997784 + 0.0665349i \(0.978806\pi\)
\(192\) 8.00970 6.39391i 0.578050 0.461440i
\(193\) 6.18343 + 6.18343i 0.445093 + 0.445093i 0.893719 0.448626i \(-0.148087\pi\)
−0.448626 + 0.893719i \(0.648087\pi\)
\(194\) 1.30810 2.99886i 0.0939160 0.215305i
\(195\) −3.62266 1.47191i −0.259424 0.105405i
\(196\) 5.98921 + 6.45273i 0.427801 + 0.460910i
\(197\) 5.55669 0.395898 0.197949 0.980212i \(-0.436572\pi\)
0.197949 + 0.980212i \(0.436572\pi\)
\(198\) 2.52298 5.78401i 0.179300 0.411052i
\(199\) 6.96413i 0.493674i −0.969057 0.246837i \(-0.920609\pi\)
0.969057 0.246837i \(-0.0793912\pi\)
\(200\) 13.2829 4.85437i 0.939242 0.343256i
\(201\) 5.82480i 0.410850i
\(202\) 12.1715 + 5.30920i 0.856385 + 0.373554i
\(203\) −5.41024 −0.379724
\(204\) 19.0239 + 0.708731i 1.33194 + 0.0496211i
\(205\) −5.53026 2.24697i −0.386250 0.156935i
\(206\) −2.97379 1.29716i −0.207194 0.0903776i
\(207\) −1.23802 1.23802i −0.0860483 0.0860483i
\(208\) 0.406265 5.44495i 0.0281694 0.377539i
\(209\) 17.1715i 1.18778i
\(210\) −4.67172 + 4.56230i −0.322379 + 0.314828i
\(211\) 5.43389 + 5.43389i 0.374084 + 0.374084i 0.868962 0.494878i \(-0.164787\pi\)
−0.494878 + 0.868962i \(0.664787\pi\)
\(212\) −7.89291 8.50377i −0.542088 0.584041i
\(213\) 19.7787i 1.35521i
\(214\) 1.88730 + 4.80761i 0.129013 + 0.328642i
\(215\) −7.61635 + 18.7454i −0.519431 + 1.27843i
\(216\) −14.2316 6.84931i −0.968338 0.466036i
\(217\) −0.276477 0.276477i −0.0187685 0.0187685i
\(218\) 9.54647 + 4.16416i 0.646568 + 0.282032i
\(219\) 1.91276 + 1.91276i 0.129253 + 0.129253i
\(220\) −13.3904 6.03075i −0.902784 0.406593i
\(221\) 7.17155 7.17155i 0.482411 0.482411i
\(222\) 2.21449 + 5.64108i 0.148627 + 0.378605i
\(223\) −8.61776 + 8.61776i −0.577088 + 0.577088i −0.934100 0.357012i \(-0.883796\pi\)
0.357012 + 0.934100i \(0.383796\pi\)
\(224\) −8.06309 4.25728i −0.538738 0.284452i
\(225\) −4.86865 4.73858i −0.324577 0.315905i
\(226\) 7.84431 + 3.42168i 0.521796 + 0.227607i
\(227\) 6.01977 0.399546 0.199773 0.979842i \(-0.435980\pi\)
0.199773 + 0.979842i \(0.435980\pi\)
\(228\) 13.3886 + 0.498791i 0.886683 + 0.0330332i
\(229\) 0.568504 0.568504i 0.0375678 0.0375678i −0.688073 0.725641i \(-0.741543\pi\)
0.725641 + 0.688073i \(0.241543\pi\)
\(230\) −2.91515 + 2.84687i −0.192219 + 0.187717i
\(231\) 6.78094 0.446153
\(232\) −8.96022 + 3.13776i −0.588267 + 0.206004i
\(233\) −12.6979 + 12.6979i −0.831869 + 0.831869i −0.987772 0.155904i \(-0.950171\pi\)
0.155904 + 0.987772i \(0.450171\pi\)
\(234\) −2.44165 + 0.958508i −0.159616 + 0.0626596i
\(235\) 22.9516 9.68940i 1.49720 0.632067i
\(236\) −16.7178 0.622819i −1.08824 0.0405421i
\(237\) 13.1984i 0.857327i
\(238\) −6.18894 15.7654i −0.401169 1.02192i
\(239\) −1.78306 −0.115336 −0.0576682 0.998336i \(-0.518367\pi\)
−0.0576682 + 0.998336i \(0.518367\pi\)
\(240\) −5.09113 + 10.2653i −0.328631 + 0.662625i
\(241\) 10.4440 0.672754 0.336377 0.941727i \(-0.390798\pi\)
0.336377 + 0.941727i \(0.390798\pi\)
\(242\) −0.111780 0.284743i −0.00718550 0.0183040i
\(243\) 12.8098i 0.821747i
\(244\) −0.702773 + 18.8639i −0.0449904 + 1.20764i
\(245\) −9.11908 3.70513i −0.582596 0.236712i
\(246\) 4.50208 1.76736i 0.287042 0.112683i
\(247\) 5.04719 5.04719i 0.321145 0.321145i
\(248\) −0.618238 0.297542i −0.0392581 0.0188939i
\(249\) −4.18392 −0.265145
\(250\) −11.1614 + 11.1992i −0.705912 + 0.708300i
\(251\) −12.6497 + 12.6497i −0.798445 + 0.798445i −0.982850 0.184406i \(-0.940964\pi\)
0.184406 + 0.982850i \(0.440964\pi\)
\(252\) −0.163075 + 4.37730i −0.0102728 + 0.275744i
\(253\) 4.23130 0.266019
\(254\) −13.3687 5.83140i −0.838825 0.365894i
\(255\) −19.6084 + 8.27800i −1.22792 + 0.518388i
\(256\) −15.8228 2.37440i −0.988927 0.148400i
\(257\) −4.13062 + 4.13062i −0.257661 + 0.257661i −0.824102 0.566441i \(-0.808320\pi\)
0.566441 + 0.824102i \(0.308320\pi\)
\(258\) −5.99064 15.2603i −0.372961 0.950063i
\(259\) 3.81240 3.81240i 0.236891 0.236891i
\(260\) 2.16322 + 5.70843i 0.134157 + 0.354022i
\(261\) 3.22500 + 3.22500i 0.199623 + 0.199623i
\(262\) 21.9603 + 9.57907i 1.35671 + 0.591797i
\(263\) 17.1303 + 17.1303i 1.05630 + 1.05630i 0.998318 + 0.0579798i \(0.0184659\pi\)
0.0579798 + 0.998318i \(0.481534\pi\)
\(264\) 11.2303 3.93273i 0.691178 0.242043i
\(265\) 12.0176 + 4.88282i 0.738237 + 0.299949i
\(266\) −4.35565 11.0954i −0.267062 0.680300i
\(267\) 12.5190i 0.766147i
\(268\) −6.66497 + 6.18620i −0.407128 + 0.377883i
\(269\) 19.8075 + 19.8075i 1.20768 + 1.20768i 0.971775 + 0.235910i \(0.0758070\pi\)
0.235910 + 0.971775i \(0.424193\pi\)
\(270\) 17.6570 + 0.209240i 1.07457 + 0.0127339i
\(271\) 27.9542i 1.69810i −0.528316 0.849048i \(-0.677176\pi\)
0.528316 0.849048i \(-0.322824\pi\)
\(272\) −19.3933 22.5206i −1.17589 1.36551i
\(273\) −1.99311 1.99311i −0.120628 0.120628i
\(274\) −9.03326 3.94030i −0.545719 0.238042i
\(275\) 16.4178 0.222281i 0.990029 0.0134041i
\(276\) 0.122909 3.29914i 0.00739824 0.198585i
\(277\) −26.0257 −1.56373 −0.781866 0.623447i \(-0.785732\pi\)
−0.781866 + 0.623447i \(0.785732\pi\)
\(278\) 18.8846 + 8.23743i 1.13262 + 0.494048i
\(279\) 0.329612i 0.0197333i
\(280\) 10.1819 + 0.500206i 0.608488 + 0.0298930i
\(281\) 24.1001i 1.43769i 0.695170 + 0.718846i \(0.255329\pi\)
−0.695170 + 0.718846i \(0.744671\pi\)
\(282\) −8.07051 + 18.5019i −0.480592 + 1.10177i
\(283\) 4.73708 0.281590 0.140795 0.990039i \(-0.455034\pi\)
0.140795 + 0.990039i \(0.455034\pi\)
\(284\) 22.6316 21.0059i 1.34294 1.24647i
\(285\) −13.8000 + 5.82588i −0.817439 + 0.345096i
\(286\) 2.53455 5.81053i 0.149871 0.343584i
\(287\) −3.04262 3.04262i −0.179600 0.179600i
\(288\) 2.26861 + 7.34408i 0.133679 + 0.432754i
\(289\) 38.2049i 2.24734i
\(290\) 7.59387 7.41600i 0.445927 0.435482i
\(291\) −2.09571 2.09571i −0.122852 0.122852i
\(292\) 0.157219 4.22010i 0.00920056 0.246963i
\(293\) 3.11001i 0.181689i −0.995865 0.0908445i \(-0.971043\pi\)
0.995865 0.0908445i \(-0.0289566\pi\)
\(294\) 7.42366 2.91427i 0.432957 0.169964i
\(295\) 17.2314 7.27454i 1.00325 0.423540i
\(296\) 4.10287 8.52500i 0.238474 0.495505i
\(297\) −12.9663 12.9663i −0.752382 0.752382i
\(298\) −12.1576 + 27.8718i −0.704273 + 1.61457i
\(299\) −1.24370 1.24370i −0.0719248 0.0719248i
\(300\) 0.303583 12.8074i 0.0175274 0.739434i
\(301\) −10.3133 + 10.3133i −0.594449 + 0.594449i
\(302\) 14.0929 5.53238i 0.810955 0.318352i
\(303\) 8.50588 8.50588i 0.488650 0.488650i
\(304\) −13.6486 15.8495i −0.782801 0.909034i
\(305\) −8.20840 19.4435i −0.470012 1.11333i
\(306\) −5.70845 + 13.0868i −0.326330 + 0.748123i
\(307\) 14.5670 0.831382 0.415691 0.909506i \(-0.363540\pi\)
0.415691 + 0.909506i \(0.363540\pi\)
\(308\) −7.20167 7.75903i −0.410353 0.442112i
\(309\) −2.07819 + 2.07819i −0.118224 + 0.118224i
\(310\) 0.767042 + 0.00908963i 0.0435651 + 0.000516256i
\(311\) −14.4572 −0.819791 −0.409896 0.912132i \(-0.634435\pi\)
−0.409896 + 0.912132i \(0.634435\pi\)
\(312\) −4.45684 2.14496i −0.252319 0.121435i
\(313\) 10.1273 10.1273i 0.572429 0.572429i −0.360377 0.932807i \(-0.617352\pi\)
0.932807 + 0.360377i \(0.117352\pi\)
\(314\) 1.21230 + 3.08815i 0.0684139 + 0.174274i
\(315\) −1.90472 4.51178i −0.107319 0.254210i
\(316\) 15.1021 14.0173i 0.849561 0.788534i
\(317\) 13.8750i 0.779295i 0.920964 + 0.389648i \(0.127403\pi\)
−0.920964 + 0.389648i \(0.872597\pi\)
\(318\) −9.78332 + 3.84058i −0.548621 + 0.215369i
\(319\) −11.0224 −0.617136
\(320\) 17.1530 5.07678i 0.958883 0.283801i
\(321\) 4.67864 0.261136
\(322\) −2.73405 + 1.07329i −0.152362 + 0.0598121i
\(323\) 38.8520i 2.16179i
\(324\) −4.51098 + 4.18694i −0.250610 + 0.232608i
\(325\) −4.89097 4.76030i −0.271302 0.264054i
\(326\) 1.41403 + 3.60203i 0.0783158 + 0.199498i
\(327\) 6.67140 6.67140i 0.368930 0.368930i
\(328\) −6.80369 3.27445i −0.375671 0.180801i
\(329\) 17.9584 0.990076
\(330\) −9.51780 + 9.29486i −0.523938 + 0.511665i
\(331\) 1.69458 1.69458i 0.0931425 0.0931425i −0.659000 0.752143i \(-0.729020\pi\)
0.752143 + 0.659000i \(0.229020\pi\)
\(332\) 4.44352 + 4.78741i 0.243870 + 0.262743i
\(333\) −4.54508 −0.249069
\(334\) −8.10251 + 18.5753i −0.443350 + 1.01639i
\(335\) 3.82699 9.41902i 0.209091 0.514616i
\(336\) −6.25890 + 5.38975i −0.341451 + 0.294035i
\(337\) −9.53338 + 9.53338i −0.519316 + 0.519316i −0.917364 0.398048i \(-0.869688\pi\)
0.398048 + 0.917364i \(0.369688\pi\)
\(338\) 14.6605 5.75520i 0.797427 0.313042i
\(339\) 5.48188 5.48188i 0.297735 0.297735i
\(340\) 30.2970 + 13.6451i 1.64309 + 0.740008i
\(341\) −0.563273 0.563273i −0.0305029 0.0305029i
\(342\) −4.01749 + 9.21023i −0.217241 + 0.498032i
\(343\) −12.9954 12.9954i −0.701683 0.701683i
\(344\) −11.0991 + 23.0618i −0.598422 + 1.24341i
\(345\) 1.43558 + 3.40050i 0.0772888 + 0.183077i
\(346\) 11.5790 4.54552i 0.622492 0.244369i
\(347\) 6.67273i 0.358211i 0.983830 + 0.179105i \(0.0573203\pi\)
−0.983830 + 0.179105i \(0.942680\pi\)
\(348\) −0.320173 + 8.59415i −0.0171631 + 0.460695i
\(349\) −2.02618 2.02618i −0.108459 0.108459i 0.650795 0.759254i \(-0.274436\pi\)
−0.759254 + 0.650795i \(0.774436\pi\)
\(350\) −10.5519 + 4.30808i −0.564025 + 0.230276i
\(351\) 7.62233i 0.406850i
\(352\) −16.4271 8.67345i −0.875567 0.462296i
\(353\) −5.36542 5.36542i −0.285572 0.285572i 0.549754 0.835327i \(-0.314721\pi\)
−0.835327 + 0.549754i \(0.814721\pi\)
\(354\) −6.05912 + 13.8907i −0.322039 + 0.738284i
\(355\) −12.9949 + 31.9832i −0.689700 + 1.69749i
\(356\) −14.3247 + 13.2957i −0.759207 + 0.704671i
\(357\) −15.3425 −0.812009
\(358\) 5.29416 12.1370i 0.279805 0.641462i
\(359\) 7.76117i 0.409619i 0.978802 + 0.204809i \(0.0656574\pi\)
−0.978802 + 0.204809i \(0.934343\pi\)
\(360\) −5.77121 6.36755i −0.304170 0.335599i
\(361\) 8.34326i 0.439119i
\(362\) 10.7120 + 4.67258i 0.563012 + 0.245585i
\(363\) −0.277104 −0.0145442
\(364\) −0.163823 + 4.39737i −0.00858666 + 0.230485i
\(365\) 1.83632 + 4.34976i 0.0961175 + 0.227677i
\(366\) 15.6739 + 6.83695i 0.819290 + 0.357373i
\(367\) −18.0536 18.0536i −0.942389 0.942389i 0.0560392 0.998429i \(-0.482153\pi\)
−0.998429 + 0.0560392i \(0.982153\pi\)
\(368\) −3.90554 + 3.36320i −0.203590 + 0.175319i
\(369\) 3.62737i 0.188833i
\(370\) −0.125339 + 10.5769i −0.00651605 + 0.549866i
\(371\) 6.61183 + 6.61183i 0.343269 + 0.343269i
\(372\) −0.455545 + 0.422821i −0.0236189 + 0.0219223i
\(373\) 4.36197i 0.225854i −0.993603 0.112927i \(-0.963977\pi\)
0.993603 0.112927i \(-0.0360226\pi\)
\(374\) −12.6089 32.1192i −0.651988 1.66084i
\(375\) 5.74879 + 13.1188i 0.296866 + 0.677451i
\(376\) 29.7419 10.4153i 1.53382 0.537126i
\(377\) 3.23979 + 3.23979i 0.166858 + 0.166858i
\(378\) 11.6671 + 5.08920i 0.600093 + 0.261760i
\(379\) 5.93072 + 5.93072i 0.304641 + 0.304641i 0.842826 0.538186i \(-0.180890\pi\)
−0.538186 + 0.842826i \(0.680890\pi\)
\(380\) 21.3224 + 9.60313i 1.09382 + 0.492630i
\(381\) −9.34249 + 9.34249i −0.478630 + 0.478630i
\(382\) −0.950385 2.42096i −0.0486259 0.123867i
\(383\) 19.3340 19.3340i 0.987922 0.987922i −0.0120057 0.999928i \(-0.503822\pi\)
0.999928 + 0.0120057i \(0.00382161\pi\)
\(384\) −7.23984 + 12.5562i −0.369457 + 0.640758i
\(385\) 10.9652 + 4.45520i 0.558836 + 0.227058i
\(386\) −11.3354 4.94449i −0.576957 0.251668i
\(387\) 12.2954 0.625008
\(388\) −0.172256 + 4.62373i −0.00874498 + 0.234734i
\(389\) −6.28607 + 6.28607i −0.318716 + 0.318716i −0.848274 0.529558i \(-0.822358\pi\)
0.529558 + 0.848274i \(0.322358\pi\)
\(390\) 5.52956 + 0.0655266i 0.280000 + 0.00331807i
\(391\) −9.57367 −0.484161
\(392\) −11.2189 5.39937i −0.566640 0.272709i
\(393\) 15.3466 15.3466i 0.774135 0.774135i
\(394\) −7.31489 + 2.87157i −0.368519 + 0.144668i
\(395\) −8.67157 + 21.3425i −0.436314 + 1.07386i
\(396\) −0.332237 + 8.91796i −0.0166955 + 0.448144i
\(397\) 6.58413i 0.330448i −0.986256 0.165224i \(-0.947165\pi\)
0.986256 0.165224i \(-0.0528347\pi\)
\(398\) 3.59890 + 9.16767i 0.180397 + 0.459534i
\(399\) −10.7977 −0.540561
\(400\) −14.9771 + 13.2546i −0.748857 + 0.662732i
\(401\) 19.7951 0.988522 0.494261 0.869313i \(-0.335439\pi\)
0.494261 + 0.869313i \(0.335439\pi\)
\(402\) 3.01012 + 7.66784i 0.150131 + 0.382437i
\(403\) 0.331123i 0.0164944i
\(404\) −18.7664 0.699139i −0.933664 0.0347835i
\(405\) 2.59018 6.37497i 0.128707 0.316775i
\(406\) 7.12211 2.79589i 0.353464 0.138758i
\(407\) 7.76707 7.76707i 0.385000 0.385000i
\(408\) −25.4095 + 8.89813i −1.25796 + 0.440523i
\(409\) −5.76937 −0.285277 −0.142638 0.989775i \(-0.545559\pi\)
−0.142638 + 0.989775i \(0.545559\pi\)
\(410\) 8.44128 + 0.100031i 0.416885 + 0.00494019i
\(411\) −6.31276 + 6.31276i −0.311385 + 0.311385i
\(412\) 4.58507 + 0.170816i 0.225890 + 0.00841550i
\(413\) 13.4826 0.663437
\(414\) 2.26952 + 0.989964i 0.111541 + 0.0486541i
\(415\) −6.76563 2.74891i −0.332112 0.134939i
\(416\) 2.27901 + 7.37775i 0.111738 + 0.361724i
\(417\) 13.1972 13.1972i 0.646270 0.646270i
\(418\) −8.87385 22.6048i −0.434034 1.10564i
\(419\) −8.68932 + 8.68932i −0.424501 + 0.424501i −0.886750 0.462249i \(-0.847043\pi\)
0.462249 + 0.886750i \(0.347043\pi\)
\(420\) 3.79222 8.42010i 0.185041 0.410859i
\(421\) 20.1193 + 20.1193i 0.980555 + 0.980555i 0.999815 0.0192594i \(-0.00613083\pi\)
−0.0192594 + 0.999815i \(0.506131\pi\)
\(422\) −9.96134 4.34513i −0.484911 0.211517i
\(423\) −10.7048 10.7048i −0.520487 0.520487i
\(424\) 14.7849 + 7.11559i 0.718017 + 0.345564i
\(425\) −37.1466 + 0.502930i −1.80187 + 0.0243957i
\(426\) −10.2212 26.0369i −0.495217 1.26149i
\(427\) 15.2135i 0.736231i
\(428\) −4.96893 5.35349i −0.240182 0.258770i
\(429\) −4.06060 4.06060i −0.196048 0.196048i
\(430\) 0.339066 28.6126i 0.0163512 1.37982i
\(431\) 33.6247i 1.61965i 0.586675 + 0.809823i \(0.300437\pi\)
−0.586675 + 0.809823i \(0.699563\pi\)
\(432\) 22.2742 + 1.66195i 1.07167 + 0.0799606i
\(433\) 7.46558 + 7.46558i 0.358773 + 0.358773i 0.863361 0.504588i \(-0.168355\pi\)
−0.504588 + 0.863361i \(0.668355\pi\)
\(434\) 0.506835 + 0.221081i 0.0243289 + 0.0106122i
\(435\) −3.73963 8.85819i −0.179302 0.424718i
\(436\) −14.7190 0.548355i −0.704914 0.0262614i
\(437\) −6.73775 −0.322310
\(438\) −3.50646 1.52951i −0.167545 0.0730829i
\(439\) 7.91929i 0.377967i 0.981980 + 0.188984i \(0.0605193\pi\)
−0.981980 + 0.188984i \(0.939481\pi\)
\(440\) 20.7439 + 1.01908i 0.988927 + 0.0485827i
\(441\) 5.98132i 0.284825i
\(442\) −5.73463 + 13.1468i −0.272768 + 0.625330i
\(443\) 10.6463 0.505823 0.252911 0.967489i \(-0.418612\pi\)
0.252911 + 0.967489i \(0.418612\pi\)
\(444\) −5.83036 6.28159i −0.276697 0.298111i
\(445\) 8.22517 20.2438i 0.389910 0.959649i
\(446\) 6.89106 15.7980i 0.326301 0.748056i
\(447\) 19.4778 + 19.4778i 0.921266 + 0.921266i
\(448\) 12.8144 + 1.43752i 0.605424 + 0.0679164i
\(449\) 6.08115i 0.286987i 0.989651 + 0.143494i \(0.0458336\pi\)
−0.989651 + 0.143494i \(0.954166\pi\)
\(450\) 8.85794 + 3.72191i 0.417567 + 0.175453i
\(451\) −6.19880 6.19880i −0.291890 0.291890i
\(452\) −12.0946 0.450582i −0.568882 0.0211936i
\(453\) 13.7148i 0.644379i
\(454\) −7.92450 + 3.11088i −0.371915 + 0.146001i
\(455\) −1.91346 4.53247i −0.0897042 0.212485i
\(456\) −17.8827 + 6.26232i −0.837435 + 0.293260i
\(457\) −0.313815 0.313815i −0.0146796 0.0146796i 0.699729 0.714409i \(-0.253304\pi\)
−0.714409 + 0.699729i \(0.753304\pi\)
\(458\) −0.454596 + 1.04218i −0.0212419 + 0.0486977i
\(459\) 29.3374 + 29.3374i 1.36935 + 1.36935i
\(460\) 2.36634 5.25413i 0.110331 0.244975i
\(461\) 9.90949 9.90949i 0.461531 0.461531i −0.437626 0.899157i \(-0.644181\pi\)
0.899157 + 0.437626i \(0.144181\pi\)
\(462\) −8.92652 + 3.50424i −0.415299 + 0.163032i
\(463\) −17.3430 + 17.3430i −0.805999 + 0.805999i −0.984026 0.178027i \(-0.943029\pi\)
0.178027 + 0.984026i \(0.443029\pi\)
\(464\) 10.1738 8.76103i 0.472307 0.406720i
\(465\) 0.261571 0.643781i 0.0121301 0.0298546i
\(466\) 10.1537 23.2777i 0.470361 1.07832i
\(467\) 1.52267 0.0704606 0.0352303 0.999379i \(-0.488784\pi\)
0.0352303 + 0.999379i \(0.488784\pi\)
\(468\) 2.71889 2.52358i 0.125681 0.116653i
\(469\) 5.18213 5.18213i 0.239289 0.239289i
\(470\) −25.2065 + 24.6161i −1.16269 + 1.13546i
\(471\) 3.00530 0.138477
\(472\) 22.3294 7.81950i 1.02779 0.359921i
\(473\) −21.0115 + 21.0115i −0.966110 + 0.966110i
\(474\) −6.82062 17.3745i −0.313282 0.798038i
\(475\) −26.1430 + 0.353952i −1.19952 + 0.0162404i
\(476\) 16.2944 + 17.5555i 0.746852 + 0.804653i
\(477\) 7.88252i 0.360916i
\(478\) 2.34724 0.921443i 0.107360 0.0421458i
\(479\) −0.507657 −0.0231955 −0.0115977 0.999933i \(-0.503692\pi\)
−0.0115977 + 0.999933i \(0.503692\pi\)
\(480\) 1.39713 16.1444i 0.0637702 0.736887i
\(481\) −4.56592 −0.208188
\(482\) −13.7486 + 5.39720i −0.626229 + 0.245836i
\(483\) 2.66070i 0.121066i
\(484\) 0.294297 + 0.317074i 0.0133772 + 0.0144125i
\(485\) −2.01195 4.76578i −0.0913581 0.216403i
\(486\) −6.61979 16.8629i −0.300280 0.764918i
\(487\) −25.9809 + 25.9809i −1.17730 + 1.17730i −0.196876 + 0.980428i \(0.563080\pi\)
−0.980428 + 0.196876i \(0.936920\pi\)
\(488\) −8.82332 25.1959i −0.399413 1.14057i
\(489\) 3.50539 0.158519
\(490\) 13.9192 + 0.164946i 0.628805 + 0.00745148i
\(491\) −3.28208 + 3.28208i −0.148118 + 0.148118i −0.777277 0.629159i \(-0.783400\pi\)
0.629159 + 0.777277i \(0.283400\pi\)
\(492\) −5.01326 + 4.65314i −0.226015 + 0.209780i
\(493\) 24.9391 1.12320
\(494\) −4.03591 + 9.25246i −0.181584 + 0.416288i
\(495\) −3.88053 9.19195i −0.174417 0.413147i
\(496\) 0.967619 + 0.0721971i 0.0434474 + 0.00324175i
\(497\) −17.5964 + 17.5964i −0.789308 + 0.789308i
\(498\) 5.50777 2.16215i 0.246809 0.0968885i
\(499\) 6.73907 6.73907i 0.301682 0.301682i −0.539990 0.841672i \(-0.681572\pi\)
0.841672 + 0.539990i \(0.181572\pi\)
\(500\) 8.90557 20.5107i 0.398269 0.917269i
\(501\) 12.9810 + 12.9810i 0.579950 + 0.579950i
\(502\) 10.1152 23.1894i 0.451463 1.03499i
\(503\) −6.12090 6.12090i −0.272918 0.272918i 0.557356 0.830274i \(-0.311816\pi\)
−0.830274 + 0.557356i \(0.811816\pi\)
\(504\) −2.04741 5.84660i −0.0911990 0.260428i
\(505\) 19.3430 8.16596i 0.860752 0.363380i
\(506\) −5.57013 + 2.18664i −0.247623 + 0.0972079i
\(507\) 14.2672i 0.633629i
\(508\) 20.6122 + 0.767904i 0.914519 + 0.0340702i
\(509\) −13.8727 13.8727i −0.614894 0.614894i 0.329323 0.944217i \(-0.393180\pi\)
−0.944217 + 0.329323i \(0.893180\pi\)
\(510\) 21.5348 21.0304i 0.953578 0.931242i
\(511\) 3.40344i 0.150559i
\(512\) 22.0564 5.05119i 0.974765 0.223233i
\(513\) 20.6471 + 20.6471i 0.911590 + 0.911590i
\(514\) 3.30299 7.57221i 0.145689 0.333996i
\(515\) −4.72594 + 1.99514i −0.208250 + 0.0879162i
\(516\) 15.7723 + 16.9930i 0.694337 + 0.748074i
\(517\) 36.5869 1.60909
\(518\) −3.04853 + 6.98884i −0.133945 + 0.307072i
\(519\) 11.2684i 0.494628i
\(520\) −5.79767 6.39674i −0.254245 0.280516i
\(521\) 5.87686i 0.257470i −0.991679 0.128735i \(-0.958908\pi\)
0.991679 0.128735i \(-0.0410917\pi\)
\(522\) −5.91204 2.57883i −0.258763 0.112872i
\(523\) −26.0176 −1.13767 −0.568834 0.822452i \(-0.692605\pi\)
−0.568834 + 0.822452i \(0.692605\pi\)
\(524\) −33.8591 1.26141i −1.47914 0.0551051i
\(525\) 0.139774 + 10.3237i 0.00610022 + 0.450564i
\(526\) −31.4030 13.6980i −1.36924 0.597260i
\(527\) 1.27445 + 1.27445i 0.0555160 + 0.0555160i
\(528\) −12.7514 + 10.9807i −0.554933 + 0.477872i
\(529\) 21.3397i 0.927814i
\(530\) −18.3435 0.217374i −0.796790 0.00944214i
\(531\) −8.03690 8.03690i −0.348772 0.348772i
\(532\) 11.4677 + 12.3552i 0.497186 + 0.535665i
\(533\) 3.64400i 0.157839i
\(534\) 6.46951 + 16.4801i 0.279963 + 0.713164i
\(535\) 7.56561 + 3.07394i 0.327090 + 0.132898i
\(536\) 5.57696 11.5879i 0.240888 0.500521i
\(537\) −8.48177 8.48177i −0.366016 0.366016i
\(538\) −36.3109 15.8388i −1.56547 0.682858i
\(539\) −10.2215 10.2215i −0.440270 0.440270i
\(540\) −23.3521 + 8.84930i −1.00491 + 0.380813i
\(541\) −6.57691 + 6.57691i −0.282764 + 0.282764i −0.834210 0.551447i \(-0.814076\pi\)
0.551447 + 0.834210i \(0.314076\pi\)
\(542\) 14.4461 + 36.7992i 0.620513 + 1.58066i
\(543\) 7.48594 7.48594i 0.321253 0.321253i
\(544\) 37.1677 + 19.6244i 1.59355 + 0.841390i
\(545\) 15.1712 6.40479i 0.649865 0.274351i
\(546\) 3.65374 + 1.59376i 0.156366 + 0.0682066i
\(547\) −10.6170 −0.453951 −0.226976 0.973900i \(-0.572884\pi\)
−0.226976 + 0.973900i \(0.572884\pi\)
\(548\) 13.9277 + 0.518876i 0.594964 + 0.0221653i
\(549\) −9.06863 + 9.06863i −0.387040 + 0.387040i
\(550\) −21.4977 + 8.77694i −0.916664 + 0.374250i
\(551\) 17.5516 0.747724
\(552\) 1.54312 + 4.40654i 0.0656796 + 0.187555i
\(553\) −11.7422 + 11.7422i −0.499328 + 0.499328i
\(554\) 34.2605 13.4495i 1.45559 0.571414i
\(555\) 8.87722 + 3.60686i 0.376817 + 0.153103i
\(556\) −29.1168 1.08474i −1.23483 0.0460033i
\(557\) 20.9610i 0.888146i −0.895991 0.444073i \(-0.853533\pi\)
0.895991 0.444073i \(-0.146467\pi\)
\(558\) −0.170336 0.433905i −0.00721089 0.0183687i
\(559\) 12.3517 0.522422
\(560\) −13.6621 + 4.60332i −0.577331 + 0.194526i
\(561\) −31.2575 −1.31969
\(562\) −12.4544 31.7257i −0.525356 1.33827i
\(563\) 16.5598i 0.697911i 0.937139 + 0.348955i \(0.113464\pi\)
−0.937139 + 0.348955i \(0.886536\pi\)
\(564\) 1.06276 28.5268i 0.0447503 1.20119i
\(565\) 12.4662 5.26280i 0.524456 0.221408i
\(566\) −6.23594 + 2.44801i −0.262116 + 0.102898i
\(567\) 3.50736 3.50736i 0.147295 0.147295i
\(568\) −18.9371 + 39.3479i −0.794584 + 1.65100i
\(569\) 39.6751 1.66327 0.831634 0.555325i \(-0.187406\pi\)
0.831634 + 0.555325i \(0.187406\pi\)
\(570\) 15.1558 14.8008i 0.634805 0.619936i
\(571\) 24.0292 24.0292i 1.00559 1.00559i 0.00560819 0.999984i \(-0.498215\pi\)
0.999984 0.00560819i \(-0.00178515\pi\)
\(572\) −0.333760 + 8.95885i −0.0139552 + 0.374588i
\(573\) −2.35602 −0.0984240
\(574\) 5.57771 + 2.43299i 0.232809 + 0.101551i
\(575\) 0.0872185 + 6.44199i 0.00363726 + 0.268649i
\(576\) −6.78168 8.49547i −0.282570 0.353978i
\(577\) −28.7705 + 28.7705i −1.19773 + 1.19773i −0.222888 + 0.974844i \(0.571549\pi\)
−0.974844 + 0.222888i \(0.928451\pi\)
\(578\) 19.7434 + 50.2933i 0.821217 + 2.09193i
\(579\) −7.92157 + 7.92157i −0.329209 + 0.329209i
\(580\) −6.16424 + 13.6868i −0.255956 + 0.568315i
\(581\) −3.72230 3.72230i −0.154427 0.154427i
\(582\) 3.84182 + 1.67580i 0.159249 + 0.0694641i
\(583\) 13.4704 + 13.4704i 0.557888 + 0.557888i
\(584\) 1.97389 + 5.63664i 0.0816800 + 0.233246i
\(585\) −1.56117 + 3.84237i −0.0645466 + 0.158862i
\(586\) 1.60718 + 4.09406i 0.0663922 + 0.169124i
\(587\) 33.4854i 1.38209i −0.722811 0.691046i \(-0.757150\pi\)
0.722811 0.691046i \(-0.242850\pi\)
\(588\) −8.26657 + 7.67276i −0.340908 + 0.316419i
\(589\) 0.896933 + 0.896933i 0.0369575 + 0.0369575i
\(590\) −18.9244 + 18.4811i −0.779104 + 0.760855i
\(591\) 7.11866i 0.292822i
\(592\) −0.995540 + 13.3427i −0.0409164 + 0.548381i
\(593\) 11.5298 + 11.5298i 0.473472 + 0.473472i 0.903036 0.429564i \(-0.141333\pi\)
−0.429564 + 0.903036i \(0.641333\pi\)
\(594\) 23.7697 + 10.3683i 0.975284 + 0.425418i
\(595\) −24.8096 10.0803i −1.01709 0.413250i
\(596\) 1.60097 42.9735i 0.0655783 1.76026i
\(597\) 8.92172 0.365142
\(598\) 2.27993 + 0.994503i 0.0932333 + 0.0406683i
\(599\) 20.0148i 0.817781i −0.912583 0.408891i \(-0.865916\pi\)
0.912583 0.408891i \(-0.134084\pi\)
\(600\) 6.21891 + 17.0167i 0.253886 + 0.694702i
\(601\) 27.5924i 1.12552i −0.826621 0.562759i \(-0.809740\pi\)
0.826621 0.562759i \(-0.190260\pi\)
\(602\) 8.24688 18.9062i 0.336118 0.770560i
\(603\) −6.17806 −0.251590
\(604\) −15.6931 + 14.5658i −0.638542 + 0.592673i
\(605\) −0.448093 0.182062i −0.0182176 0.00740188i
\(606\) −6.80160 + 15.5929i −0.276296 + 0.633418i
\(607\) 30.4850 + 30.4850i 1.23735 + 1.23735i 0.961081 + 0.276265i \(0.0890968\pi\)
0.276265 + 0.961081i \(0.410903\pi\)
\(608\) 26.1579 + 13.8113i 1.06084 + 0.560120i
\(609\) 6.93104i 0.280860i
\(610\) 20.8536 + 21.3538i 0.844338 + 0.864589i
\(611\) −10.7539 10.7539i −0.435057 0.435057i
\(612\) 0.751714 20.1776i 0.0303862 0.815632i
\(613\) 20.2657i 0.818523i −0.912417 0.409261i \(-0.865786\pi\)
0.912417 0.409261i \(-0.134214\pi\)
\(614\) −19.1762 + 7.52788i −0.773887 + 0.303801i
\(615\) 2.87859 7.08480i 0.116076 0.285687i
\(616\) 13.4901 + 6.49242i 0.543530 + 0.261587i
\(617\) −1.61302 1.61302i −0.0649378 0.0649378i 0.673892 0.738830i \(-0.264621\pi\)
−0.738830 + 0.673892i \(0.764621\pi\)
\(618\) 1.66179 3.80971i 0.0668470 0.153249i
\(619\) 2.46756 + 2.46756i 0.0991797 + 0.0991797i 0.754956 0.655776i \(-0.227658\pi\)
−0.655776 + 0.754956i \(0.727658\pi\)
\(620\) −1.01444 + 0.384424i −0.0407409 + 0.0154388i
\(621\) 5.08771 5.08771i 0.204163 0.204163i
\(622\) 19.0316 7.47114i 0.763098 0.299565i
\(623\) 11.1377 11.1377i 0.446222 0.446222i
\(624\) 6.97551 + 0.520465i 0.279244 + 0.0208353i
\(625\) 0.676829 + 24.9908i 0.0270732 + 0.999633i
\(626\) −8.09815 + 18.5653i −0.323667 + 0.742017i
\(627\) −21.9984 −0.878531
\(628\) −3.19177 3.43879i −0.127365 0.137222i
\(629\) −17.5737 + 17.5737i −0.700708 + 0.700708i
\(630\) 4.83899 + 4.95505i 0.192790 + 0.197414i
\(631\) −29.9602 −1.19270 −0.596348 0.802726i \(-0.703382\pi\)
−0.596348 + 0.802726i \(0.703382\pi\)
\(632\) −12.6368 + 26.2570i −0.502666 + 1.04445i
\(633\) −6.96133 + 6.96133i −0.276688 + 0.276688i
\(634\) −7.17026 18.2652i −0.284767 0.725402i
\(635\) −21.2455 + 8.96913i −0.843101 + 0.355929i
\(636\) 10.8942 10.1116i 0.431981 0.400950i
\(637\) 6.00875i 0.238075i
\(638\) 14.5100 5.69612i 0.574457 0.225512i
\(639\) 20.9782 0.829885
\(640\) −19.9569 + 15.5474i −0.788865 + 0.614566i
\(641\) −37.3386 −1.47478 −0.737392 0.675465i \(-0.763943\pi\)
−0.737392 + 0.675465i \(0.763943\pi\)
\(642\) −6.15901 + 2.41781i −0.243077 + 0.0954234i
\(643\) 24.5635i 0.968691i 0.874877 + 0.484345i \(0.160942\pi\)
−0.874877 + 0.484345i \(0.839058\pi\)
\(644\) 3.04448 2.82579i 0.119969 0.111352i
\(645\) −24.0147 9.75728i −0.945577 0.384193i
\(646\) 20.0778 + 51.1453i 0.789952 + 2.01229i
\(647\) −23.1347 + 23.1347i −0.909519 + 0.909519i −0.996233 0.0867142i \(-0.972363\pi\)
0.0867142 + 0.996233i \(0.472363\pi\)
\(648\) 3.77459 7.84291i 0.148280 0.308099i
\(649\) 27.4685 1.07823
\(650\) 8.89855 + 3.73898i 0.349030 + 0.146655i
\(651\) 0.354194 0.354194i 0.0138820 0.0138820i
\(652\) −3.72289 4.01101i −0.145800 0.157083i
\(653\) −50.8060 −1.98819 −0.994097 0.108496i \(-0.965397\pi\)
−0.994097 + 0.108496i \(0.965397\pi\)
\(654\) −5.33469 + 12.2299i −0.208603 + 0.478229i
\(655\) 34.8993 14.7333i 1.36363 0.575679i
\(656\) 10.6486 + 0.794528i 0.415759 + 0.0310211i
\(657\) 2.02877 2.02877i 0.0791497 0.0791497i
\(658\) −23.6406 + 9.28047i −0.921607 + 0.361790i
\(659\) 9.97780 9.97780i 0.388680 0.388680i −0.485537 0.874216i \(-0.661376\pi\)
0.874216 + 0.485537i \(0.161376\pi\)
\(660\) 7.72597 17.1545i 0.300733 0.667736i
\(661\) −5.09643 5.09643i −0.198228 0.198228i 0.601012 0.799240i \(-0.294764\pi\)
−0.799240 + 0.601012i \(0.794764\pi\)
\(662\) −1.35505 + 3.10648i −0.0526653 + 0.120737i
\(663\) 9.18745 + 9.18745i 0.356811 + 0.356811i
\(664\) −8.32353 4.00590i −0.323015 0.155459i
\(665\) −17.4605 7.09428i −0.677088 0.275104i
\(666\) 5.98320 2.34879i 0.231844 0.0910139i
\(667\) 4.32496i 0.167463i
\(668\) 1.06697 28.6399i 0.0412825 1.10811i
\(669\) −11.0402 11.0402i −0.426838 0.426838i
\(670\) −0.170371 + 14.3770i −0.00658200 + 0.555432i
\(671\) 30.9947i 1.19654i
\(672\) 5.45399 10.3296i 0.210392 0.398473i
\(673\) −31.6322 31.6322i −1.21933 1.21933i −0.967867 0.251464i \(-0.919088\pi\)
−0.251464 0.967867i \(-0.580912\pi\)
\(674\) 7.62323 17.4765i 0.293636 0.673169i
\(675\) 19.4735 20.0080i 0.749534 0.770108i
\(676\) −16.3251 + 15.1524i −0.627889 + 0.582786i
\(677\) 25.6600 0.986196 0.493098 0.869974i \(-0.335864\pi\)
0.493098 + 0.869974i \(0.335864\pi\)
\(678\) −4.38350 + 10.0493i −0.168347 + 0.385942i
\(679\) 3.72896i 0.143104i
\(680\) −46.9348 2.30575i −1.79987 0.0884216i
\(681\) 7.71190i 0.295521i
\(682\) 1.03259 + 0.450413i 0.0395397 + 0.0172472i
\(683\) 12.3536 0.472698 0.236349 0.971668i \(-0.424049\pi\)
0.236349 + 0.971668i \(0.424049\pi\)
\(684\) 0.529041 14.2006i 0.0202284 0.542974i
\(685\) −14.3557 + 6.06048i −0.548501 + 0.231559i
\(686\) 23.8230 + 10.3915i 0.909564 + 0.396751i
\(687\) 0.728309 + 0.728309i 0.0277867 + 0.0277867i
\(688\) 2.69314 36.0946i 0.102675 1.37610i
\(689\) 7.91866i 0.301677i
\(690\) −3.64711 3.73458i −0.138843 0.142173i
\(691\) 22.5426 + 22.5426i 0.857561 + 0.857561i 0.991050 0.133489i \(-0.0426180\pi\)
−0.133489 + 0.991050i \(0.542618\pi\)
\(692\) −12.8938 + 11.9676i −0.490147 + 0.454938i
\(693\) 7.19219i 0.273209i
\(694\) −3.44831 8.78406i −0.130896 0.333438i
\(695\) 30.0114 12.6698i 1.13840 0.480593i
\(696\) −4.01978 11.4789i −0.152369 0.435107i
\(697\) 14.0253 + 14.0253i 0.531247 + 0.531247i
\(698\) 3.71438 + 1.62021i 0.140591 + 0.0613258i
\(699\) −16.2673 16.2673i −0.615285 0.615285i
\(700\) 11.6644 11.1242i 0.440872 0.420455i
\(701\) 26.9530 26.9530i 1.01800 1.01800i 0.0181663 0.999835i \(-0.494217\pi\)
0.999835 0.0181663i \(-0.00578284\pi\)
\(702\) −3.93904 10.0341i −0.148670 0.378714i
\(703\) −12.3680 + 12.3680i −0.466467 + 0.466467i
\(704\) 26.1071 + 2.92869i 0.983947 + 0.110379i
\(705\) 12.4131 + 29.4032i 0.467503 + 1.10739i
\(706\) 9.83583 + 4.29038i 0.370176 + 0.161471i
\(707\) 15.1348 0.569203
\(708\) 0.797891 21.4171i 0.0299866 0.804905i
\(709\) −7.78615 + 7.78615i −0.292415 + 0.292415i −0.838034 0.545619i \(-0.816295\pi\)
0.545619 + 0.838034i \(0.316295\pi\)
\(710\) 0.578511 48.8186i 0.0217111 1.83213i
\(711\) 13.9988 0.524997
\(712\) 11.9863 24.9053i 0.449205 0.933365i
\(713\) 0.221016 0.221016i 0.00827713 0.00827713i
\(714\) 20.1970 7.92863i 0.755854 0.296721i
\(715\) −3.89833 9.23410i −0.145789 0.345336i
\(716\) −0.697158 + 18.7132i −0.0260540 + 0.699346i
\(717\) 2.28427i 0.0853076i
\(718\) −4.01079 10.2169i −0.149681 0.381291i
\(719\) −20.6777 −0.771150 −0.385575 0.922677i \(-0.625997\pi\)
−0.385575 + 0.922677i \(0.625997\pi\)
\(720\) 10.8879 + 5.39989i 0.405768 + 0.201242i
\(721\) −3.69779 −0.137713
\(722\) 4.31161 + 10.9832i 0.160461 + 0.408751i
\(723\) 13.3797i 0.497597i
\(724\) −16.5161 0.615306i −0.613817 0.0228677i
\(725\) −0.227201 16.7812i −0.00843805 0.623237i
\(726\) 0.364783 0.143201i 0.0135384 0.00531469i
\(727\) 20.4994 20.4994i 0.760280 0.760280i −0.216093 0.976373i \(-0.569331\pi\)
0.976373 + 0.216093i \(0.0693315\pi\)
\(728\) −2.05680 5.87341i −0.0762301 0.217683i
\(729\) −25.6425 −0.949722
\(730\) −4.66521 4.77711i −0.172667 0.176809i
\(731\) 47.5403 47.5403i 1.75834 1.75834i
\(732\) −24.1665 0.900320i −0.893221 0.0332768i
\(733\) 10.7306 0.396344 0.198172 0.980167i \(-0.436500\pi\)
0.198172 + 0.980167i \(0.436500\pi\)
\(734\) 33.0956 + 14.4363i 1.22158 + 0.532853i
\(735\) 4.74663 11.6824i 0.175082 0.430912i
\(736\) 3.40328 6.44565i 0.125447 0.237590i
\(737\) 10.5577 10.5577i 0.388897 0.388897i
\(738\) −1.87454 4.77511i −0.0690028 0.175774i
\(739\) −2.93837 + 2.93837i −0.108090 + 0.108090i −0.759083 0.650994i \(-0.774352\pi\)
0.650994 + 0.759083i \(0.274352\pi\)
\(740\) −5.30090 13.9883i −0.194865 0.514221i
\(741\) 6.46594 + 6.46594i 0.237532 + 0.237532i
\(742\) −12.1207 5.28705i −0.444966 0.194094i
\(743\) −0.223404 0.223404i −0.00819590 0.00819590i 0.702997 0.711193i \(-0.251845\pi\)
−0.711193 + 0.702997i \(0.751845\pi\)
\(744\) 0.381180 0.792022i 0.0139747 0.0290369i
\(745\) 18.6994 + 44.2938i 0.685091 + 1.62280i
\(746\) 2.25416 + 5.74215i 0.0825308 + 0.210235i
\(747\) 4.43766i 0.162366i
\(748\) 33.1969 + 35.7661i 1.21380 + 1.30774i
\(749\) 4.16243 + 4.16243i 0.152092 + 0.152092i
\(750\) −14.3473 14.2989i −0.523888 0.522122i
\(751\) 39.9939i 1.45940i 0.683769 + 0.729699i \(0.260340\pi\)
−0.683769 + 0.729699i \(0.739660\pi\)
\(752\) −33.7702 + 29.0807i −1.23147 + 1.06046i
\(753\) −16.2055 16.2055i −0.590563 0.590563i
\(754\) −5.93915 2.59065i −0.216291 0.0943459i
\(755\) 9.01088 22.1776i 0.327939 0.807126i
\(756\) −17.9888 0.670168i −0.654245 0.0243738i
\(757\) 32.9120 1.19621 0.598103 0.801419i \(-0.295921\pi\)
0.598103 + 0.801419i \(0.295921\pi\)
\(758\) −10.8721 4.74241i −0.394894 0.172252i
\(759\) 5.42070i 0.196759i
\(760\) −33.0318 1.62274i −1.19819 0.0588631i
\(761\) 33.9591i 1.23102i −0.788130 0.615509i \(-0.788951\pi\)
0.788130 0.615509i \(-0.211049\pi\)
\(762\) 7.47058 17.1266i 0.270631 0.620430i
\(763\) 11.8707 0.429747
\(764\) 2.50220 + 2.69585i 0.0905263 + 0.0975324i
\(765\) 8.78003 + 20.7976i 0.317443 + 0.751937i
\(766\) −15.4602 + 35.4429i −0.558598 + 1.28060i
\(767\) −8.07375 8.07375i −0.291526 0.291526i
\(768\) 3.04184 20.2706i 0.109763 0.731452i
\(769\) 40.2535i 1.45158i 0.687917 + 0.725789i \(0.258525\pi\)
−0.687917 + 0.725789i \(0.741475\pi\)
\(770\) −16.7370 0.198337i −0.603160 0.00714758i
\(771\) −5.29172 5.29172i −0.190577 0.190577i
\(772\) 17.4773 + 0.651112i 0.629020 + 0.0234340i
\(773\) 9.47175i 0.340675i 0.985386 + 0.170338i \(0.0544858\pi\)
−0.985386 +