Properties

Label 65.2.o.a.63.4
Level $65$
Weight $2$
Character 65.63
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.o (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
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 63.4
Root \(1.02262i\) of defining polynomial
Character \(\chi\) \(=\) 65.63
Dual form 65.2.o.a.32.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.511309 + 0.885613i) q^{2} +(-0.721300 + 2.69193i) q^{3} +(0.477126 - 0.826407i) q^{4} +(-1.69584 - 1.45744i) q^{5} +(-2.75281 + 0.737614i) q^{6} +(0.834479 + 0.481787i) q^{7} +3.02107 q^{8} +(-4.12812 - 2.38337i) q^{9} +O(q^{10})\) \(q+(0.511309 + 0.885613i) q^{2} +(-0.721300 + 2.69193i) q^{3} +(0.477126 - 0.826407i) q^{4} +(-1.69584 - 1.45744i) q^{5} +(-2.75281 + 0.737614i) q^{6} +(0.834479 + 0.481787i) q^{7} +3.02107 q^{8} +(-4.12812 - 2.38337i) q^{9} +(0.423625 - 2.24706i) q^{10} +(1.60661 + 0.430490i) q^{11} +(1.88048 + 1.88048i) q^{12} +(1.82127 - 3.11175i) q^{13} +0.985368i q^{14} +(5.14652 - 3.51384i) q^{15} +(0.590448 + 1.02269i) q^{16} +(-7.00342 + 1.87656i) q^{17} -4.87456i q^{18} +(-0.707496 - 2.64041i) q^{19} +(-2.01357 + 0.706075i) q^{20} +(-1.89884 + 1.89884i) q^{21} +(0.440226 + 1.64295i) q^{22} +(-3.72214 - 0.997344i) q^{23} +(-2.17910 + 8.13250i) q^{24} +(0.751762 + 4.94316i) q^{25} +(3.68704 + 0.0218799i) q^{26} +(3.48159 - 3.48159i) q^{27} +(0.796304 - 0.459747i) q^{28} +(0.253107 - 0.146132i) q^{29} +(5.74336 + 2.76117i) q^{30} +(-0.125649 - 0.125649i) q^{31} +(2.41727 - 4.18683i) q^{32} +(-2.31769 + 4.01436i) q^{33} +(-5.24282 - 5.24282i) q^{34} +(-0.712972 - 2.03323i) q^{35} +(-3.93927 + 2.27434i) q^{36} +(3.53443 - 2.04061i) q^{37} +(1.97663 - 1.97663i) q^{38} +(7.06291 + 7.14724i) q^{39} +(-5.12326 - 4.40302i) q^{40} +(-1.79277 + 6.69071i) q^{41} +(-2.65254 - 0.710745i) q^{42} +(2.05706 + 7.67707i) q^{43} +(1.12232 - 1.12232i) q^{44} +(3.52703 + 10.0583i) q^{45} +(-1.01990 - 3.80633i) q^{46} +7.84582i q^{47} +(-3.17888 + 0.851780i) q^{48} +(-3.03576 - 5.25810i) q^{49} +(-3.99335 + 3.19325i) q^{50} -20.2063i q^{51} +(-1.70259 - 2.98981i) q^{52} +(-1.99855 - 1.99855i) q^{53} +(4.86351 + 1.30317i) q^{54} +(-2.09714 - 3.07157i) q^{55} +(2.52102 + 1.45551i) q^{56} +7.61811 q^{57} +(0.258832 + 0.149437i) q^{58} +(4.87924 - 1.30739i) q^{59} +(-0.448318 - 5.92967i) q^{60} +(-1.04169 + 1.80425i) q^{61} +(0.0470311 - 0.175522i) q^{62} +(-2.29655 - 3.97775i) q^{63} +7.30568 q^{64} +(-7.62376 + 2.62264i) q^{65} -4.74023 q^{66} +(-3.64915 - 6.32050i) q^{67} +(-1.79071 + 6.68304i) q^{68} +(5.36956 - 9.30034i) q^{69} +(1.43611 - 1.67103i) q^{70} +(12.6082 - 3.37837i) q^{71} +(-12.4713 - 7.20034i) q^{72} +3.22747 q^{73} +(3.61437 + 2.08676i) q^{74} +(-13.8489 - 1.54181i) q^{75} +(-2.51962 - 0.675130i) q^{76} +(1.13328 + 1.13328i) q^{77} +(-2.71836 + 9.90945i) q^{78} +13.5845i q^{79} +(0.489192 - 2.59485i) q^{80} +(-0.289196 - 0.500902i) q^{81} +(-6.84204 + 1.83332i) q^{82} -8.56854i q^{83} +(0.663230 + 2.47521i) q^{84} +(14.6117 + 7.02469i) q^{85} +(-5.74712 + 5.74712i) q^{86} +(0.210809 + 0.786751i) q^{87} +(4.85368 + 1.30054i) q^{88} +(0.134207 - 0.500868i) q^{89} +(-7.10435 + 8.26648i) q^{90} +(3.01901 - 1.71922i) q^{91} +(-2.60014 + 2.60014i) q^{92} +(0.428870 - 0.247608i) q^{93} +(-6.94836 + 4.01164i) q^{94} +(-2.64843 + 5.50885i) q^{95} +(9.52707 + 9.52707i) q^{96} +(-3.75660 + 6.50662i) q^{97} +(3.10442 - 5.37702i) q^{98} +(-5.60626 - 5.60626i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} + O(q^{10}) \) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} - 10q^{10} - 16q^{11} + 24q^{12} + 2q^{13} + 12q^{15} - 2q^{16} - 10q^{17} + 20q^{19} + 14q^{20} + 4q^{21} + 16q^{22} - 2q^{23} - 32q^{24} - 18q^{25} - 24q^{26} + 4q^{27} + 6q^{28} + 14q^{30} - 6q^{32} - 18q^{33} - 2q^{34} - 20q^{35} + 36q^{36} + 42q^{37} + 8q^{38} - 4q^{39} - 16q^{40} + 10q^{41} - 56q^{42} - 22q^{43} + 36q^{44} + 52q^{45} + 4q^{46} + 28q^{48} - 18q^{49} + 44q^{50} + 46q^{52} - 10q^{53} + 48q^{54} + 26q^{55} - 12q^{57} - 90q^{58} + 16q^{59} - 92q^{60} - 16q^{61} - 40q^{62} - 32q^{63} - 20q^{64} + 8q^{65} - 32q^{66} - 58q^{67} + 28q^{68} + 16q^{69} + 32q^{70} - 16q^{71} - 66q^{72} + 72q^{73} - 18q^{74} - 34q^{75} - 64q^{76} + 28q^{77} + 32q^{78} - 34q^{80} - 14q^{81} + 22q^{82} + 40q^{84} - 6q^{85} + 60q^{86} + 62q^{87} + 50q^{88} + 6q^{89} - 46q^{90} + 8q^{91} - 8q^{92} + 48q^{93} + 48q^{94} + 14q^{95} + 56q^{96} - 22q^{97} + 4q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.511309 + 0.885613i 0.361550 + 0.626223i 0.988216 0.153065i \(-0.0489144\pi\)
−0.626666 + 0.779288i \(0.715581\pi\)
\(3\) −0.721300 + 2.69193i −0.416443 + 1.55418i 0.365486 + 0.930817i \(0.380903\pi\)
−0.781929 + 0.623368i \(0.785764\pi\)
\(4\) 0.477126 0.826407i 0.238563 0.413204i
\(5\) −1.69584 1.45744i −0.758404 0.651785i
\(6\) −2.75281 + 0.737614i −1.12383 + 0.301130i
\(7\) 0.834479 + 0.481787i 0.315404 + 0.182098i 0.649342 0.760497i \(-0.275044\pi\)
−0.333938 + 0.942595i \(0.608378\pi\)
\(8\) 3.02107 1.06811
\(9\) −4.12812 2.38337i −1.37604 0.794457i
\(10\) 0.423625 2.24706i 0.133962 0.710583i
\(11\) 1.60661 + 0.430490i 0.484411 + 0.129797i 0.492756 0.870168i \(-0.335990\pi\)
−0.00834492 + 0.999965i \(0.502656\pi\)
\(12\) 1.88048 + 1.88048i 0.542847 + 0.542847i
\(13\) 1.82127 3.11175i 0.505130 0.863043i
\(14\) 0.985368i 0.263351i
\(15\) 5.14652 3.51384i 1.32883 0.907268i
\(16\) 0.590448 + 1.02269i 0.147612 + 0.255671i
\(17\) −7.00342 + 1.87656i −1.69858 + 0.455133i −0.972581 0.232564i \(-0.925289\pi\)
−0.725998 + 0.687697i \(0.758622\pi\)
\(18\) 4.87456i 1.14894i
\(19\) −0.707496 2.64041i −0.162311 0.605752i −0.998368 0.0571095i \(-0.981812\pi\)
0.836057 0.548642i \(-0.184855\pi\)
\(20\) −2.01357 + 0.706075i −0.450247 + 0.157883i
\(21\) −1.89884 + 1.89884i −0.414362 + 0.414362i
\(22\) 0.440226 + 1.64295i 0.0938565 + 0.350277i
\(23\) −3.72214 0.997344i −0.776120 0.207961i −0.151046 0.988527i \(-0.548264\pi\)
−0.625073 + 0.780566i \(0.714931\pi\)
\(24\) −2.17910 + 8.13250i −0.444806 + 1.66004i
\(25\) 0.751762 + 4.94316i 0.150352 + 0.988632i
\(26\) 3.68704 + 0.0218799i 0.723087 + 0.00429099i
\(27\) 3.48159 3.48159i 0.670033 0.670033i
\(28\) 0.796304 0.459747i 0.150487 0.0868839i
\(29\) 0.253107 0.146132i 0.0470008 0.0271360i −0.476315 0.879274i \(-0.658028\pi\)
0.523316 + 0.852139i \(0.324695\pi\)
\(30\) 5.74336 + 2.76117i 1.04859 + 0.504118i
\(31\) −0.125649 0.125649i −0.0225673 0.0225673i 0.695733 0.718300i \(-0.255080\pi\)
−0.718300 + 0.695733i \(0.755080\pi\)
\(32\) 2.41727 4.18683i 0.427317 0.740134i
\(33\) −2.31769 + 4.01436i −0.403458 + 0.698811i
\(34\) −5.24282 5.24282i −0.899136 0.899136i
\(35\) −0.712972 2.03323i −0.120514 0.343679i
\(36\) −3.93927 + 2.27434i −0.656545 + 0.379057i
\(37\) 3.53443 2.04061i 0.581057 0.335474i −0.180496 0.983576i \(-0.557770\pi\)
0.761553 + 0.648102i \(0.224437\pi\)
\(38\) 1.97663 1.97663i 0.320652 0.320652i
\(39\) 7.06291 + 7.14724i 1.13097 + 1.14447i
\(40\) −5.12326 4.40302i −0.810059 0.696178i
\(41\) −1.79277 + 6.69071i −0.279984 + 1.04491i 0.672444 + 0.740148i \(0.265245\pi\)
−0.952427 + 0.304765i \(0.901422\pi\)
\(42\) −2.65254 0.710745i −0.409295 0.109670i
\(43\) 2.05706 + 7.67707i 0.313699 + 1.17074i 0.925194 + 0.379494i \(0.123902\pi\)
−0.611495 + 0.791248i \(0.709432\pi\)
\(44\) 1.12232 1.12232i 0.169195 0.169195i
\(45\) 3.52703 + 10.0583i 0.525779 + 1.49940i
\(46\) −1.01990 3.80633i −0.150376 0.561212i
\(47\) 7.84582i 1.14443i 0.820103 + 0.572215i \(0.193916\pi\)
−0.820103 + 0.572215i \(0.806084\pi\)
\(48\) −3.17888 + 0.851780i −0.458832 + 0.122944i
\(49\) −3.03576 5.25810i −0.433680 0.751156i
\(50\) −3.99335 + 3.19325i −0.564744 + 0.451594i
\(51\) 20.2063i 2.82944i
\(52\) −1.70259 2.98981i −0.236107 0.414612i
\(53\) −1.99855 1.99855i −0.274522 0.274522i 0.556395 0.830918i \(-0.312184\pi\)
−0.830918 + 0.556395i \(0.812184\pi\)
\(54\) 4.86351 + 1.30317i 0.661840 + 0.177339i
\(55\) −2.09714 3.07157i −0.282779 0.414171i
\(56\) 2.52102 + 1.45551i 0.336886 + 0.194501i
\(57\) 7.61811 1.00904
\(58\) 0.258832 + 0.149437i 0.0339863 + 0.0196220i
\(59\) 4.87924 1.30739i 0.635223 0.170207i 0.0731843 0.997318i \(-0.476684\pi\)
0.562039 + 0.827111i \(0.310017\pi\)
\(60\) −0.448318 5.92967i −0.0578776 0.765517i
\(61\) −1.04169 + 1.80425i −0.133374 + 0.231011i −0.924975 0.380027i \(-0.875915\pi\)
0.791601 + 0.611038i \(0.209248\pi\)
\(62\) 0.0470311 0.175522i 0.00597296 0.0222914i
\(63\) −2.29655 3.97775i −0.289339 0.501149i
\(64\) 7.30568 0.913209
\(65\) −7.62376 + 2.62264i −0.945611 + 0.325299i
\(66\) −4.74023 −0.583482
\(67\) −3.64915 6.32050i −0.445814 0.772173i 0.552294 0.833649i \(-0.313752\pi\)
−0.998109 + 0.0614765i \(0.980419\pi\)
\(68\) −1.79071 + 6.68304i −0.217156 + 0.810437i
\(69\) 5.36956 9.30034i 0.646419 1.11963i
\(70\) 1.43611 1.67103i 0.171648 0.199726i
\(71\) 12.6082 3.37837i 1.49632 0.400939i 0.584457 0.811425i \(-0.301308\pi\)
0.911867 + 0.410486i \(0.134641\pi\)
\(72\) −12.4713 7.20034i −1.46976 0.848568i
\(73\) 3.22747 0.377746 0.188873 0.982001i \(-0.439517\pi\)
0.188873 + 0.982001i \(0.439517\pi\)
\(74\) 3.61437 + 2.08676i 0.420163 + 0.242581i
\(75\) −13.8489 1.54181i −1.59913 0.178033i
\(76\) −2.51962 0.675130i −0.289020 0.0774427i
\(77\) 1.13328 + 1.13328i 0.129149 + 0.129149i
\(78\) −2.71836 + 9.90945i −0.307793 + 1.12202i
\(79\) 13.5845i 1.52838i 0.644992 + 0.764190i \(0.276861\pi\)
−0.644992 + 0.764190i \(0.723139\pi\)
\(80\) 0.489192 2.59485i 0.0546934 0.290113i
\(81\) −0.289196 0.500902i −0.0321329 0.0556558i
\(82\) −6.84204 + 1.83332i −0.755577 + 0.202456i
\(83\) 8.56854i 0.940519i −0.882528 0.470260i \(-0.844160\pi\)
0.882528 0.470260i \(-0.155840\pi\)
\(84\) 0.663230 + 2.47521i 0.0723643 + 0.270067i
\(85\) 14.6117 + 7.02469i 1.58486 + 0.761934i
\(86\) −5.74712 + 5.74712i −0.619728 + 0.619728i
\(87\) 0.210809 + 0.786751i 0.0226011 + 0.0843486i
\(88\) 4.85368 + 1.30054i 0.517404 + 0.138638i
\(89\) 0.134207 0.500868i 0.0142259 0.0530919i −0.958448 0.285267i \(-0.907918\pi\)
0.972674 + 0.232175i \(0.0745843\pi\)
\(90\) −7.10435 + 8.26648i −0.748864 + 0.871363i
\(91\) 3.01901 1.71922i 0.316479 0.180223i
\(92\) −2.60014 + 2.60014i −0.271084 + 0.271084i
\(93\) 0.428870 0.247608i 0.0444718 0.0256758i
\(94\) −6.94836 + 4.01164i −0.716669 + 0.413769i
\(95\) −2.64843 + 5.50885i −0.271723 + 0.565196i
\(96\) 9.52707 + 9.52707i 0.972353 + 0.972353i
\(97\) −3.75660 + 6.50662i −0.381425 + 0.660648i −0.991266 0.131876i \(-0.957900\pi\)
0.609841 + 0.792524i \(0.291233\pi\)
\(98\) 3.10442 5.37702i 0.313594 0.543161i
\(99\) −5.60626 5.60626i −0.563450 0.563450i
\(100\) 4.44375 + 1.73725i 0.444375 + 0.173725i
\(101\) 8.44685 4.87679i 0.840493 0.485259i −0.0169388 0.999857i \(-0.505392\pi\)
0.857432 + 0.514598i \(0.172059\pi\)
\(102\) 17.8949 10.3316i 1.77186 1.02298i
\(103\) −2.52321 + 2.52321i −0.248619 + 0.248619i −0.820404 0.571784i \(-0.806251\pi\)
0.571784 + 0.820404i \(0.306251\pi\)
\(104\) 5.50220 9.40081i 0.539535 0.921825i
\(105\) 5.98759 0.452697i 0.584329 0.0441787i
\(106\) 0.748066 2.79182i 0.0726586 0.271166i
\(107\) 0.429359 + 0.115046i 0.0415077 + 0.0111220i 0.279513 0.960142i \(-0.409827\pi\)
−0.238005 + 0.971264i \(0.576494\pi\)
\(108\) −1.21605 4.53837i −0.117015 0.436705i
\(109\) −6.42134 + 6.42134i −0.615053 + 0.615053i −0.944258 0.329206i \(-0.893219\pi\)
0.329206 + 0.944258i \(0.393219\pi\)
\(110\) 1.64793 3.42778i 0.157124 0.326826i
\(111\) 2.94378 + 10.9863i 0.279411 + 1.04278i
\(112\) 1.13788i 0.107520i
\(113\) −1.86865 + 0.500704i −0.175788 + 0.0471023i −0.345639 0.938367i \(-0.612338\pi\)
0.169851 + 0.985470i \(0.445671\pi\)
\(114\) 3.89521 + 6.74670i 0.364820 + 0.631886i
\(115\) 4.85860 + 7.11612i 0.453066 + 0.663581i
\(116\) 0.278893i 0.0258946i
\(117\) −14.9349 + 8.50489i −1.38073 + 0.786277i
\(118\) 3.65264 + 3.65264i 0.336253 + 0.336253i
\(119\) −6.74831 1.80821i −0.618617 0.165758i
\(120\) 15.5480 10.6155i 1.41933 0.969062i
\(121\) −7.13041 4.11674i −0.648219 0.374249i
\(122\) −2.13050 −0.192886
\(123\) −16.7178 9.65202i −1.50739 0.870293i
\(124\) −0.163788 + 0.0438869i −0.0147086 + 0.00394116i
\(125\) 5.92947 9.47847i 0.530348 0.847780i
\(126\) 2.34850 4.06772i 0.209221 0.362381i
\(127\) −0.562967 + 2.10102i −0.0499553 + 0.186436i −0.986395 0.164393i \(-0.947433\pi\)
0.936440 + 0.350829i \(0.114100\pi\)
\(128\) −1.09908 1.90366i −0.0971460 0.168262i
\(129\) −22.1499 −1.95019
\(130\) −6.22074 5.41072i −0.545595 0.474552i
\(131\) −0.0622493 −0.00543874 −0.00271937 0.999996i \(-0.500866\pi\)
−0.00271937 + 0.999996i \(0.500866\pi\)
\(132\) 2.21166 + 3.83072i 0.192501 + 0.333421i
\(133\) 0.681725 2.54423i 0.0591130 0.220613i
\(134\) 3.73168 6.46346i 0.322368 0.558358i
\(135\) −10.9784 + 0.830034i −0.944872 + 0.0714380i
\(136\) −21.1578 + 5.66923i −1.81427 + 0.486132i
\(137\) −3.82564 2.20873i −0.326846 0.188705i 0.327594 0.944819i \(-0.393762\pi\)
−0.654440 + 0.756114i \(0.727096\pi\)
\(138\) 10.9820 0.934850
\(139\) 11.9066 + 6.87430i 1.00991 + 0.583070i 0.911165 0.412043i \(-0.135184\pi\)
0.0987430 + 0.995113i \(0.468518\pi\)
\(140\) −2.02046 0.380905i −0.170760 0.0321923i
\(141\) −21.1204 5.65919i −1.77866 0.476590i
\(142\) 9.43864 + 9.43864i 0.792073 + 0.792073i
\(143\) 4.26565 4.21532i 0.356711 0.352503i
\(144\) 5.62903i 0.469085i
\(145\) −0.642207 0.121072i −0.0533324 0.0100544i
\(146\) 1.65023 + 2.85829i 0.136574 + 0.236553i
\(147\) 16.3441 4.37939i 1.34804 0.361206i
\(148\) 3.89451i 0.320127i
\(149\) −1.12129 4.18471i −0.0918596 0.342825i 0.904665 0.426124i \(-0.140121\pi\)
−0.996525 + 0.0832987i \(0.973454\pi\)
\(150\) −5.71560 13.0531i −0.466677 1.06578i
\(151\) 4.74990 4.74990i 0.386542 0.386542i −0.486910 0.873452i \(-0.661876\pi\)
0.873452 + 0.486910i \(0.161876\pi\)
\(152\) −2.13740 7.97687i −0.173366 0.647010i
\(153\) 33.3835 + 8.94508i 2.69890 + 0.723167i
\(154\) −0.424190 + 1.58310i −0.0341822 + 0.127570i
\(155\) 0.0299556 + 0.396208i 0.00240610 + 0.0318242i
\(156\) 9.27643 2.42670i 0.742709 0.194292i
\(157\) 14.4488 14.4488i 1.15314 1.15314i 0.167218 0.985920i \(-0.446522\pi\)
0.985920 0.167218i \(-0.0534784\pi\)
\(158\) −12.0306 + 6.94589i −0.957106 + 0.552586i
\(159\) 6.82151 3.93840i 0.540981 0.312336i
\(160\) −10.2013 + 3.57719i −0.806487 + 0.282802i
\(161\) −2.62554 2.62554i −0.206922 0.206922i
\(162\) 0.295737 0.512231i 0.0232353 0.0402447i
\(163\) −10.6926 + 18.5201i −0.837508 + 1.45061i 0.0544633 + 0.998516i \(0.482655\pi\)
−0.891972 + 0.452091i \(0.850678\pi\)
\(164\) 4.67387 + 4.67387i 0.364968 + 0.364968i
\(165\) 9.78111 3.42984i 0.761459 0.267012i
\(166\) 7.58841 4.38117i 0.588975 0.340045i
\(167\) 1.48475 0.857220i 0.114893 0.0663337i −0.441452 0.897285i \(-0.645536\pi\)
0.556345 + 0.830951i \(0.312203\pi\)
\(168\) −5.73655 + 5.73655i −0.442584 + 0.442584i
\(169\) −6.36593 11.3347i −0.489687 0.871898i
\(170\) 1.24992 + 16.5321i 0.0958646 + 1.26795i
\(171\) −3.37245 + 12.5862i −0.257898 + 0.962488i
\(172\) 7.32587 + 1.96296i 0.558592 + 0.149674i
\(173\) −3.92804 14.6596i −0.298643 1.11455i −0.938281 0.345875i \(-0.887582\pi\)
0.639638 0.768677i \(-0.279084\pi\)
\(174\) −0.588968 + 0.588968i −0.0446496 + 0.0446496i
\(175\) −1.75422 + 4.48716i −0.132607 + 0.339197i
\(176\) 0.508363 + 1.89724i 0.0383193 + 0.143010i
\(177\) 14.0776i 1.05814i
\(178\) 0.512196 0.137243i 0.0383907 0.0102868i
\(179\) 1.37961 + 2.38956i 0.103117 + 0.178604i 0.912967 0.408033i \(-0.133785\pi\)
−0.809850 + 0.586637i \(0.800452\pi\)
\(180\) 9.99508 + 1.88431i 0.744990 + 0.140448i
\(181\) 10.3568i 0.769818i 0.922954 + 0.384909i \(0.125767\pi\)
−0.922954 + 0.384909i \(0.874233\pi\)
\(182\) 3.06621 + 1.79462i 0.227283 + 0.133026i
\(183\) −4.10555 4.10555i −0.303491 0.303491i
\(184\) −11.2449 3.01305i −0.828981 0.222125i
\(185\) −8.96789 1.69066i −0.659333 0.124300i
\(186\) 0.438570 + 0.253209i 0.0321575 + 0.0185662i
\(187\) −12.0596 −0.881885
\(188\) 6.48384 + 3.74345i 0.472883 + 0.273019i
\(189\) 4.58270 1.22793i 0.333342 0.0893188i
\(190\) −6.23287 + 0.471242i −0.452180 + 0.0341875i
\(191\) −9.28983 + 16.0905i −0.672189 + 1.16427i 0.305093 + 0.952322i \(0.401312\pi\)
−0.977282 + 0.211943i \(0.932021\pi\)
\(192\) −5.26958 + 19.6663i −0.380299 + 1.41930i
\(193\) −6.28576 10.8872i −0.452459 0.783681i 0.546079 0.837733i \(-0.316120\pi\)
−0.998538 + 0.0540520i \(0.982786\pi\)
\(194\) −7.68313 −0.551617
\(195\) −1.56094 22.4143i −0.111781 1.60512i
\(196\) −5.79377 −0.413841
\(197\) −7.14308 12.3722i −0.508924 0.881481i −0.999947 0.0103349i \(-0.996710\pi\)
0.491023 0.871147i \(-0.336623\pi\)
\(198\) 2.09845 7.83150i 0.149130 0.556561i
\(199\) −7.36781 + 12.7614i −0.522291 + 0.904634i 0.477373 + 0.878701i \(0.341589\pi\)
−0.999664 + 0.0259331i \(0.991744\pi\)
\(200\) 2.27113 + 14.9336i 0.160593 + 1.05597i
\(201\) 19.6465 5.26425i 1.38575 0.371312i
\(202\) 8.63790 + 4.98709i 0.607760 + 0.350891i
\(203\) 0.281617 0.0197656
\(204\) −16.6986 9.64094i −1.16914 0.675001i
\(205\) 12.7915 8.73354i 0.893400 0.609977i
\(206\) −3.52473 0.944449i −0.245580 0.0658029i
\(207\) 12.9884 + 12.9884i 0.902756 + 0.902756i
\(208\) 4.25770 + 0.0252664i 0.295219 + 0.00175191i
\(209\) 4.54668i 0.314500i
\(210\) 3.46242 + 5.07122i 0.238930 + 0.349947i
\(211\) 4.26604 + 7.38900i 0.293686 + 0.508680i 0.974678 0.223611i \(-0.0717845\pi\)
−0.680992 + 0.732291i \(0.738451\pi\)
\(212\) −2.60518 + 0.698056i −0.178925 + 0.0479427i
\(213\) 36.3773i 2.49253i
\(214\) 0.117649 + 0.439070i 0.00804229 + 0.0300142i
\(215\) 7.70038 16.0171i 0.525161 1.09236i
\(216\) 10.5181 10.5181i 0.715669 0.715669i
\(217\) −0.0443156 0.165388i −0.00300834 0.0112273i
\(218\) −8.97011 2.40353i −0.607532 0.162788i
\(219\) −2.32797 + 8.68810i −0.157310 + 0.587087i
\(220\) −3.53897 + 0.267567i −0.238597 + 0.0180394i
\(221\) −6.91576 + 25.2106i −0.465205 + 1.69585i
\(222\) −8.22445 + 8.22445i −0.551989 + 0.551989i
\(223\) 6.11483 3.53040i 0.409479 0.236413i −0.281087 0.959682i \(-0.590695\pi\)
0.690566 + 0.723269i \(0.257362\pi\)
\(224\) 4.03432 2.32922i 0.269555 0.155627i
\(225\) 8.67803 22.1977i 0.578535 1.47985i
\(226\) −1.39889 1.39889i −0.0930527 0.0930527i
\(227\) 8.58775 14.8744i 0.569989 0.987249i −0.426578 0.904451i \(-0.640281\pi\)
0.996566 0.0827985i \(-0.0263858\pi\)
\(228\) 3.63480 6.29566i 0.240721 0.416940i
\(229\) 8.90647 + 8.90647i 0.588556 + 0.588556i 0.937240 0.348684i \(-0.113371\pi\)
−0.348684 + 0.937240i \(0.613371\pi\)
\(230\) −3.81788 + 7.94137i −0.251744 + 0.523638i
\(231\) −3.86813 + 2.23327i −0.254504 + 0.146938i
\(232\) 0.764655 0.441474i 0.0502021 0.0289842i
\(233\) 17.5822 17.5822i 1.15185 1.15185i 0.165666 0.986182i \(-0.447023\pi\)
0.986182 0.165666i \(-0.0529773\pi\)
\(234\) −15.1684 8.87790i −0.991588 0.580366i
\(235\) 11.4348 13.3053i 0.745923 0.867940i
\(236\) 1.24758 4.65603i 0.0812105 0.303082i
\(237\) −36.5686 9.79852i −2.37538 0.636482i
\(238\) −1.84910 6.90095i −0.119860 0.447322i
\(239\) 2.23488 2.23488i 0.144562 0.144562i −0.631122 0.775684i \(-0.717405\pi\)
0.775684 + 0.631122i \(0.217405\pi\)
\(240\) 6.63230 + 3.18854i 0.428113 + 0.205819i
\(241\) −4.66361 17.4048i −0.300409 1.12114i −0.936825 0.349797i \(-0.886250\pi\)
0.636416 0.771346i \(-0.280416\pi\)
\(242\) 8.41971i 0.541239i
\(243\) 15.8248 4.24025i 1.01516 0.272012i
\(244\) 0.994033 + 1.72172i 0.0636364 + 0.110222i
\(245\) −2.51516 + 13.3413i −0.160688 + 0.852346i
\(246\) 19.7406i 1.25862i
\(247\) −9.50483 2.60736i −0.604778 0.165902i
\(248\) −0.379596 0.379596i −0.0241044 0.0241044i
\(249\) 23.0659 + 6.18048i 1.46174 + 0.391672i
\(250\) 11.4260 + 0.404792i 0.722647 + 0.0256013i
\(251\) 12.1009 + 6.98644i 0.763800 + 0.440980i 0.830658 0.556782i \(-0.187964\pi\)
−0.0668586 + 0.997762i \(0.521298\pi\)
\(252\) −4.38299 −0.276102
\(253\) −5.55068 3.20468i −0.348968 0.201477i
\(254\) −2.14854 + 0.575700i −0.134812 + 0.0361227i
\(255\) −29.4493 + 34.2666i −1.84419 + 2.14586i
\(256\) 8.42962 14.6005i 0.526851 0.912533i
\(257\) −5.99887 + 22.3881i −0.374199 + 1.39653i 0.480312 + 0.877098i \(0.340524\pi\)
−0.854511 + 0.519433i \(0.826143\pi\)
\(258\) −11.3254 19.6162i −0.705090 1.22125i
\(259\) 3.93255 0.244357
\(260\) −1.47013 + 7.55166i −0.0911735 + 0.468334i
\(261\) −1.39314 −0.0862334
\(262\) −0.0318286 0.0551288i −0.00196638 0.00340587i
\(263\) 0.336737 1.25672i 0.0207641 0.0774926i −0.954766 0.297357i \(-0.903895\pi\)
0.975530 + 0.219864i \(0.0705615\pi\)
\(264\) −7.00191 + 12.1277i −0.430938 + 0.746407i
\(265\) 0.476468 + 6.30199i 0.0292692 + 0.387128i
\(266\) 2.60178 0.697144i 0.159525 0.0427446i
\(267\) 1.25150 + 0.722551i 0.0765903 + 0.0442194i
\(268\) −6.96441 −0.425419
\(269\) 6.87429 + 3.96887i 0.419133 + 0.241986i 0.694706 0.719294i \(-0.255534\pi\)
−0.275574 + 0.961280i \(0.588868\pi\)
\(270\) −6.34846 9.29823i −0.386355 0.565872i
\(271\) −0.865041 0.231787i −0.0525475 0.0140801i 0.232450 0.972608i \(-0.425326\pi\)
−0.284997 + 0.958528i \(0.591993\pi\)
\(272\) −6.05429 6.05429i −0.367095 0.367095i
\(273\) 2.45041 + 9.36704i 0.148305 + 0.566919i
\(274\) 4.51738i 0.272905i
\(275\) −0.920192 + 8.26535i −0.0554897 + 0.498420i
\(276\) −5.12391 8.87488i −0.308423 0.534205i
\(277\) 9.22930 2.47298i 0.554535 0.148587i 0.0293404 0.999569i \(-0.490659\pi\)
0.525194 + 0.850982i \(0.323993\pi\)
\(278\) 14.0596i 0.843236i
\(279\) 0.219227 + 0.818165i 0.0131248 + 0.0489823i
\(280\) −2.15394 6.14255i −0.128723 0.367087i
\(281\) 5.58408 5.58408i 0.333118 0.333118i −0.520651 0.853769i \(-0.674311\pi\)
0.853769 + 0.520651i \(0.174311\pi\)
\(282\) −5.78719 21.5981i −0.344622 1.28615i
\(283\) −20.3851 5.46218i −1.21177 0.324693i −0.404314 0.914620i \(-0.632490\pi\)
−0.807457 + 0.589927i \(0.799157\pi\)
\(284\) 3.22382 12.0315i 0.191298 0.713936i
\(285\) −12.9191 11.1029i −0.765262 0.657679i
\(286\) 5.91420 + 1.62238i 0.349714 + 0.0959335i
\(287\) −4.71953 + 4.71953i −0.278585 + 0.278585i
\(288\) −19.9576 + 11.5225i −1.17601 + 0.678970i
\(289\) 30.8040 17.7847i 1.81200 1.04616i
\(290\) −0.221144 0.630652i −0.0129860 0.0370332i
\(291\) −14.8057 14.8057i −0.867927 0.867927i
\(292\) 1.53991 2.66720i 0.0901164 0.156086i
\(293\) −2.01079 + 3.48280i −0.117472 + 0.203467i −0.918765 0.394805i \(-0.870812\pi\)
0.801293 + 0.598272i \(0.204146\pi\)
\(294\) 12.2353 + 12.2353i 0.713579 + 0.713579i
\(295\) −10.1799 4.89405i −0.592694 0.284943i
\(296\) 10.6778 6.16482i 0.620633 0.358323i
\(297\) 7.09234 4.09477i 0.411539 0.237602i
\(298\) 3.13271 3.13271i 0.181473 0.181473i
\(299\) −9.88252 + 9.76592i −0.571521 + 0.564778i
\(300\) −7.88183 + 10.7092i −0.455058 + 0.618294i
\(301\) −1.98213 + 7.39742i −0.114248 + 0.426380i
\(302\) 6.63524 + 1.77791i 0.381815 + 0.102307i
\(303\) 7.03525 + 26.2559i 0.404165 + 1.50836i
\(304\) 2.28257 2.28257i 0.130914 0.130914i
\(305\) 4.39612 1.54154i 0.251721 0.0882683i
\(306\) 9.14740 + 34.1386i 0.522922 + 1.95157i
\(307\) 24.2191i 1.38226i −0.722732 0.691128i \(-0.757114\pi\)
0.722732 0.691128i \(-0.242886\pi\)
\(308\) 1.47727 0.395832i 0.0841750 0.0225546i
\(309\) −4.97231 8.61229i −0.282865 0.489936i
\(310\) −0.335570 + 0.229114i −0.0190591 + 0.0130128i
\(311\) 7.87243i 0.446405i −0.974772 0.223202i \(-0.928349\pi\)
0.974772 0.223202i \(-0.0716511\pi\)
\(312\) 21.3376 + 21.5923i 1.20800 + 1.22242i
\(313\) 3.39121 + 3.39121i 0.191683 + 0.191683i 0.796423 0.604740i \(-0.206723\pi\)
−0.604740 + 0.796423i \(0.706723\pi\)
\(314\) 20.1838 + 5.40824i 1.13904 + 0.305204i
\(315\) −1.90272 + 10.0927i −0.107206 + 0.568660i
\(316\) 11.2264 + 6.48154i 0.631532 + 0.364615i
\(317\) 22.9255 1.28762 0.643812 0.765184i \(-0.277352\pi\)
0.643812 + 0.765184i \(0.277352\pi\)
\(318\) 6.97580 + 4.02748i 0.391183 + 0.225850i
\(319\) 0.469553 0.125816i 0.0262899 0.00704436i
\(320\) −12.3893 10.6476i −0.692581 0.595216i
\(321\) −0.619393 + 1.07282i −0.0345712 + 0.0598790i
\(322\) 0.982751 3.66768i 0.0547666 0.204392i
\(323\) 9.90979 + 17.1643i 0.551395 + 0.955044i
\(324\) −0.551932 −0.0306629
\(325\) 16.7510 + 6.66356i 0.929180 + 0.369628i
\(326\) −21.8689 −1.21120
\(327\) −12.6541 21.9175i −0.699771 1.21204i
\(328\) −5.41609 + 20.2131i −0.299053 + 1.11608i
\(329\) −3.78001 + 6.54718i −0.208399 + 0.360958i
\(330\) 8.03868 + 6.90858i 0.442515 + 0.380305i
\(331\) −32.4118 + 8.68470i −1.78151 + 0.477354i −0.990858 0.134910i \(-0.956925\pi\)
−0.790653 + 0.612264i \(0.790259\pi\)
\(332\) −7.08110 4.08828i −0.388626 0.224373i
\(333\) −19.4541 −1.06608
\(334\) 1.51833 + 0.876609i 0.0830794 + 0.0479659i
\(335\) −3.02336 + 16.0370i −0.165184 + 0.876194i
\(336\) −3.06309 0.820752i −0.167105 0.0447757i
\(337\) 14.5544 + 14.5544i 0.792826 + 0.792826i 0.981953 0.189126i \(-0.0605656\pi\)
−0.189126 + 0.981953i \(0.560566\pi\)
\(338\) 6.78318 11.4333i 0.368957 0.621888i
\(339\) 5.39143i 0.292822i
\(340\) 12.7769 8.72352i 0.692923 0.473099i
\(341\) −0.147779 0.255960i −0.00800267 0.0138610i
\(342\) −12.8708 + 3.44873i −0.695975 + 0.186486i
\(343\) 12.5954i 0.680087i
\(344\) 6.21454 + 23.1930i 0.335065 + 1.25048i
\(345\) −22.6606 + 7.94613i −1.22000 + 0.427805i
\(346\) 10.9743 10.9743i 0.589983 0.589983i
\(347\) 5.90442 + 22.0356i 0.316966 + 1.18293i 0.922145 + 0.386844i \(0.126435\pi\)
−0.605179 + 0.796089i \(0.706899\pi\)
\(348\) 0.750759 + 0.201165i 0.0402449 + 0.0107836i
\(349\) 2.68798 10.0317i 0.143884 0.536983i −0.855918 0.517111i \(-0.827008\pi\)
0.999803 0.0198718i \(-0.00632581\pi\)
\(350\) −4.87083 + 0.740762i −0.260357 + 0.0395954i
\(351\) −4.49290 17.1748i −0.239813 0.916721i
\(352\) 5.68599 5.68599i 0.303064 0.303064i
\(353\) 3.72420 2.15017i 0.198219 0.114442i −0.397605 0.917556i \(-0.630159\pi\)
0.595825 + 0.803115i \(0.296825\pi\)
\(354\) −12.4673 + 7.19799i −0.662629 + 0.382569i
\(355\) −26.3054 12.6465i −1.39614 0.671208i
\(356\) −0.349887 0.349887i −0.0185440 0.0185440i
\(357\) 9.73511 16.8617i 0.515237 0.892416i
\(358\) −1.41082 + 2.44361i −0.0745640 + 0.129149i
\(359\) 10.4273 + 10.4273i 0.550333 + 0.550333i 0.926537 0.376204i \(-0.122771\pi\)
−0.376204 + 0.926537i \(0.622771\pi\)
\(360\) 10.6554 + 30.3868i 0.561589 + 1.60153i
\(361\) 9.98326 5.76384i 0.525435 0.303360i
\(362\) −9.17216 + 5.29555i −0.482078 + 0.278328i
\(363\) 16.2251 16.2251i 0.851599 0.851599i
\(364\) 0.0196734 3.31522i 0.00103117 0.173765i
\(365\) −5.47327 4.70382i −0.286484 0.246209i
\(366\) 1.53673 5.73514i 0.0803259 0.299780i
\(367\) −11.0341 2.95657i −0.575973 0.154331i −0.0409383 0.999162i \(-0.513035\pi\)
−0.535034 + 0.844830i \(0.679701\pi\)
\(368\) −1.17776 4.39546i −0.0613950 0.229129i
\(369\) 23.3472 23.3472i 1.21541 1.21541i
\(370\) −3.08809 8.80653i −0.160542 0.457830i
\(371\) −0.704874 2.63063i −0.0365953 0.136575i
\(372\) 0.472562i 0.0245012i
\(373\) −27.1975 + 7.28755i −1.40823 + 0.377335i −0.881294 0.472568i \(-0.843327\pi\)
−0.526939 + 0.849903i \(0.676661\pi\)
\(374\) −6.16618 10.6801i −0.318846 0.552257i
\(375\) 21.2384 + 22.7985i 1.09675 + 1.17731i
\(376\) 23.7028i 1.22238i
\(377\) 0.00625324 1.05375i 0.000322058 0.0542709i
\(378\) 3.43065 + 3.43065i 0.176453 + 0.176453i
\(379\) −16.3551 4.38232i −0.840103 0.225105i −0.186987 0.982362i \(-0.559872\pi\)
−0.653116 + 0.757258i \(0.726539\pi\)
\(380\) 3.28892 + 4.81710i 0.168718 + 0.247112i
\(381\) −5.24973 3.03093i −0.268952 0.155279i
\(382\) −18.9999 −0.972119
\(383\) −5.71918 3.30197i −0.292236 0.168723i 0.346714 0.937971i \(-0.387298\pi\)
−0.638950 + 0.769248i \(0.720631\pi\)
\(384\) 5.91729 1.58553i 0.301966 0.0809114i
\(385\) −0.270181 3.57354i −0.0137697 0.182124i
\(386\) 6.42793 11.1335i 0.327173 0.566680i
\(387\) 9.80550 36.5946i 0.498441 1.86021i
\(388\) 3.58475 + 6.20897i 0.181988 + 0.315212i
\(389\) −33.6949 −1.70840 −0.854199 0.519946i \(-0.825952\pi\)
−0.854199 + 0.519946i \(0.825952\pi\)
\(390\) 19.0523 12.8430i 0.964750 0.650332i
\(391\) 27.9393 1.41295
\(392\) −9.17126 15.8851i −0.463218 0.802318i
\(393\) 0.0449004 0.167570i 0.00226492 0.00845281i
\(394\) 7.30464 12.6520i 0.368003 0.637399i
\(395\) 19.7986 23.0372i 0.996175 1.15913i
\(396\) −7.30795 + 1.95816i −0.367238 + 0.0984012i
\(397\) 5.04104 + 2.91045i 0.253002 + 0.146071i 0.621138 0.783701i \(-0.286671\pi\)
−0.368136 + 0.929772i \(0.620004\pi\)
\(398\) −15.0689 −0.755337
\(399\) 6.35716 + 3.67031i 0.318256 + 0.183745i
\(400\) −4.61142 + 3.68750i −0.230571 + 0.184375i
\(401\) 0.255004 + 0.0683280i 0.0127343 + 0.00341214i 0.265181 0.964199i \(-0.414568\pi\)
−0.252446 + 0.967611i \(0.581235\pi\)
\(402\) 14.7075 + 14.7075i 0.733544 + 0.733544i
\(403\) −0.619831 + 0.162147i −0.0308760 + 0.00807713i
\(404\) 9.30738i 0.463060i
\(405\) −0.239602 + 1.27094i −0.0119059 + 0.0631533i
\(406\) 0.143993 + 0.249404i 0.00714627 + 0.0123777i
\(407\) 6.55691 1.75692i 0.325014 0.0870872i
\(408\) 61.0446i 3.02216i
\(409\) 9.61872 + 35.8975i 0.475615 + 1.77502i 0.619042 + 0.785358i \(0.287521\pi\)
−0.143427 + 0.989661i \(0.545812\pi\)
\(410\) 14.2750 + 6.86281i 0.704990 + 0.338930i
\(411\) 8.70518 8.70518i 0.429395 0.429395i
\(412\) 0.881310 + 3.28909i 0.0434190 + 0.162042i
\(413\) 4.70151 + 1.25977i 0.231346 + 0.0619890i
\(414\) −4.86161 + 18.1438i −0.238935 + 0.891718i
\(415\) −12.4881 + 14.5309i −0.613016 + 0.713293i
\(416\) −8.62585 15.1473i −0.422917 0.742657i
\(417\) −27.0934 + 27.0934i −1.32677 + 1.32677i
\(418\) 4.02660 2.32476i 0.196947 0.113708i
\(419\) −29.3721 + 16.9580i −1.43492 + 0.828451i −0.997490 0.0708027i \(-0.977444\pi\)
−0.437428 + 0.899253i \(0.644111\pi\)
\(420\) 2.48272 5.16418i 0.121145 0.251986i
\(421\) −21.5599 21.5599i −1.05076 1.05076i −0.998641 0.0521230i \(-0.983401\pi\)
−0.0521230 0.998641i \(-0.516599\pi\)
\(422\) −4.36253 + 7.55613i −0.212365 + 0.367826i
\(423\) 18.6995 32.3885i 0.909201 1.57478i
\(424\) −6.03777 6.03777i −0.293220 0.293220i
\(425\) −14.5411 33.2083i −0.705345 1.61084i
\(426\) −32.2162 + 18.6000i −1.56088 + 0.901175i
\(427\) −1.73853 + 1.00374i −0.0841335 + 0.0485745i
\(428\) 0.299934 0.299934i 0.0144979 0.0144979i
\(429\) 8.27052 + 14.5233i 0.399305 + 0.701192i
\(430\) 18.1223 1.37015i 0.873933 0.0660745i
\(431\) 1.19014 4.44167i 0.0573271 0.213948i −0.931320 0.364201i \(-0.881342\pi\)
0.988648 + 0.150253i \(0.0480089\pi\)
\(432\) 5.61627 + 1.50488i 0.270213 + 0.0724033i
\(433\) −1.03596 3.86627i −0.0497853 0.185801i 0.936555 0.350520i \(-0.113995\pi\)
−0.986341 + 0.164719i \(0.947328\pi\)
\(434\) 0.123811 0.123811i 0.00594311 0.00594311i
\(435\) 0.789140 1.64145i 0.0378364 0.0787013i
\(436\) 2.24285 + 8.37043i 0.107413 + 0.400871i
\(437\) 10.5336i 0.503890i
\(438\) −8.88461 + 2.38062i −0.424523 + 0.113751i
\(439\) −11.3618 19.6793i −0.542271 0.939242i −0.998773 0.0495192i \(-0.984231\pi\)
0.456502 0.889723i \(-0.349102\pi\)
\(440\) −6.33562 9.27944i −0.302039 0.442380i
\(441\) 28.9414i 1.37816i
\(442\) −25.8629 + 6.76571i −1.23017 + 0.321812i
\(443\) 1.84874 + 1.84874i 0.0878361 + 0.0878361i 0.749660 0.661824i \(-0.230217\pi\)
−0.661824 + 0.749660i \(0.730217\pi\)
\(444\) 10.4837 + 2.80911i 0.497536 + 0.133314i
\(445\) −0.957576 + 0.653794i −0.0453935 + 0.0309928i
\(446\) 6.25313 + 3.61025i 0.296094 + 0.170950i
\(447\) 12.0737 0.571067
\(448\) 6.09644 + 3.51978i 0.288030 + 0.166294i
\(449\) −31.0770 + 8.32705i −1.46661 + 0.392978i −0.901769 0.432219i \(-0.857731\pi\)
−0.564845 + 0.825197i \(0.691064\pi\)
\(450\) 24.0957 3.66451i 1.13588 0.172746i
\(451\) −5.76056 + 9.97759i −0.271254 + 0.469826i
\(452\) −0.477798 + 1.78317i −0.0224737 + 0.0838731i
\(453\) 9.36029 + 16.2125i 0.439785 + 0.761729i
\(454\) 17.5640 0.824318
\(455\) −7.62543 1.48449i −0.357486 0.0695939i
\(456\) 23.0149 1.07777
\(457\) 14.1837 + 24.5669i 0.663486 + 1.14919i 0.979693 + 0.200501i \(0.0642571\pi\)
−0.316208 + 0.948690i \(0.602410\pi\)
\(458\) −3.33373 + 12.4416i −0.155775 + 0.581360i
\(459\) −17.8496 + 30.9165i −0.833149 + 1.44306i
\(460\) 8.19898 0.619891i 0.382279 0.0289026i
\(461\) −11.1174 + 2.97890i −0.517790 + 0.138741i −0.508244 0.861213i \(-0.669705\pi\)
−0.00954570 + 0.999954i \(0.503039\pi\)
\(462\) −3.95562 2.28378i −0.184032 0.106251i
\(463\) 29.9456 1.39169 0.695845 0.718192i \(-0.255030\pi\)
0.695845 + 0.718192i \(0.255030\pi\)
\(464\) 0.298893 + 0.172566i 0.0138758 + 0.00801118i
\(465\) −1.08817 0.205146i −0.0504626 0.00951342i
\(466\) 24.5609 + 6.58109i 1.13776 + 0.304863i
\(467\) −16.1332 16.1332i −0.746557 0.746557i 0.227274 0.973831i \(-0.427019\pi\)
−0.973831 + 0.227274i \(0.927019\pi\)
\(468\) −0.0973232 + 16.4002i −0.00449877 + 0.758100i
\(469\) 7.03244i 0.324728i
\(470\) 17.6300 + 3.32368i 0.813213 + 0.153310i
\(471\) 28.4732 + 49.3170i 1.31197 + 2.27241i
\(472\) 14.7405 3.94971i 0.678488 0.181800i
\(473\) 13.2196i 0.607837i
\(474\) −10.0201 37.3957i −0.460240 1.71764i
\(475\) 12.5201 5.48223i 0.574462 0.251542i
\(476\) −4.71411 + 4.71411i −0.216071 + 0.216071i
\(477\) 3.48697 + 13.0136i 0.159657 + 0.595850i
\(478\) 3.12195 + 0.836524i 0.142795 + 0.0382617i
\(479\) 10.0493 37.5043i 0.459162 1.71362i −0.216393 0.976306i \(-0.569429\pi\)
0.675555 0.737309i \(-0.263904\pi\)
\(480\) −2.27132 30.0415i −0.103671 1.37120i
\(481\) 0.0873213 14.7148i 0.00398151 0.670935i
\(482\) 13.0294 13.0294i 0.593473 0.593473i
\(483\) 8.96157 5.17396i 0.407765 0.235424i
\(484\) −6.80421 + 3.92841i −0.309282 + 0.178564i
\(485\) 15.8536 5.55920i 0.719874 0.252430i
\(486\) 11.8466 + 11.8466i 0.537372 + 0.537372i
\(487\) −14.4718 + 25.0660i −0.655782 + 1.13585i 0.325916 + 0.945399i \(0.394327\pi\)
−0.981697 + 0.190448i \(0.939006\pi\)
\(488\) −3.14701 + 5.45078i −0.142458 + 0.246745i
\(489\) −42.1422 42.1422i −1.90574 1.90574i
\(490\) −13.1013 + 4.59408i −0.591855 + 0.207539i
\(491\) 6.30003 3.63733i 0.284317 0.164150i −0.351059 0.936353i \(-0.614178\pi\)
0.635376 + 0.772203i \(0.280845\pi\)
\(492\) −15.9530 + 9.21046i −0.719216 + 0.415240i
\(493\) −1.49839 + 1.49839i −0.0674842 + 0.0674842i
\(494\) −2.55079 9.75077i −0.114766 0.438708i
\(495\) 1.33657 + 17.6781i 0.0600743 + 0.794571i
\(496\) 0.0543104 0.202689i 0.00243861 0.00910102i
\(497\) 12.1490 + 3.25531i 0.544956 + 0.146021i
\(498\) 6.32027 + 23.5876i 0.283218 + 1.05698i
\(499\) −4.24201 + 4.24201i −0.189899 + 0.189899i −0.795652 0.605754i \(-0.792872\pi\)
0.605754 + 0.795652i \(0.292872\pi\)
\(500\) −5.00397 9.42259i −0.223784 0.421391i
\(501\) 1.23663 + 4.61515i 0.0552483 + 0.206190i
\(502\) 14.2889i 0.637745i
\(503\) −3.50677 + 0.939636i −0.156359 + 0.0418963i −0.336149 0.941809i \(-0.609125\pi\)
0.179790 + 0.983705i \(0.442458\pi\)
\(504\) −6.93805 12.0171i −0.309046 0.535283i
\(505\) −21.4321 4.04047i −0.953717 0.179799i
\(506\) 6.55433i 0.291376i
\(507\) 35.1039 8.96091i 1.55902 0.397968i
\(508\) 1.46769 + 1.46769i 0.0651184 + 0.0651184i
\(509\) 22.5037 + 6.02986i 0.997460 + 0.267269i 0.720381 0.693578i \(-0.243967\pi\)
0.277079 + 0.960847i \(0.410634\pi\)
\(510\) −45.4047 8.55987i −2.01055 0.379038i
\(511\) 2.69325 + 1.55495i 0.119143 + 0.0687870i
\(512\) 12.8442 0.567640
\(513\) −11.6560 6.72962i −0.514627 0.297120i
\(514\) −22.8945 + 6.13455i −1.00983 + 0.270584i
\(515\) 7.95639 0.601550i 0.350600 0.0265075i
\(516\) −10.5683 + 18.3048i −0.465243 + 0.805824i
\(517\) −3.37754 + 12.6052i −0.148544 + 0.554375i
\(518\) 2.01075 + 3.48272i 0.0883472 + 0.153022i
\(519\) 42.2960 1.85659
\(520\) −23.0319 + 7.92319i −1.01002 + 0.347455i
\(521\) −13.0530 −0.571862 −0.285931 0.958250i \(-0.592303\pi\)
−0.285931 + 0.958250i \(0.592303\pi\)
\(522\) −0.712327 1.23379i −0.0311777 0.0540013i
\(523\) 4.40520 16.4404i 0.192626 0.718890i −0.800243 0.599677i \(-0.795296\pi\)
0.992869 0.119214i \(-0.0380374\pi\)
\(524\) −0.0297008 + 0.0514432i −0.00129748 + 0.00224731i
\(525\) −10.8138 7.95882i −0.471952 0.347351i
\(526\) 1.28514 0.344353i 0.0560349 0.0150145i
\(527\) 1.11577 + 0.644187i 0.0486035 + 0.0280612i
\(528\) −5.47391 −0.238221
\(529\) −7.05896 4.07549i −0.306911 0.177195i
\(530\) −5.33750 + 3.64423i −0.231846 + 0.158295i
\(531\) −23.2581 6.23198i −1.00931 0.270445i
\(532\) −1.77730 1.77730i −0.0770558 0.0770558i
\(533\) 17.5547 + 17.7643i 0.760377 + 0.769456i
\(534\) 1.47779i 0.0639501i
\(535\) −0.560453 0.820864i −0.0242305 0.0354891i
\(536\) −11.0243 19.0947i −0.476178 0.824765i
\(537\) −7.42764 + 1.99023i −0.320526 + 0.0858847i
\(538\) 8.11728i 0.349961i
\(539\) −2.61373 9.75457i −0.112581 0.420159i
\(540\) −4.55215 + 9.46868i −0.195893 + 0.407467i
\(541\) −10.9728 + 10.9728i −0.471756 + 0.471756i −0.902483 0.430727i \(-0.858257\pi\)
0.430727 + 0.902483i \(0.358257\pi\)
\(542\) −0.237029 0.884606i −0.0101813 0.0379971i
\(543\) −27.8799 7.47039i −1.19644 0.320585i
\(544\) −9.07231 + 33.8583i −0.388972 + 1.45166i
\(545\) 20.2483 1.53089i 0.867340 0.0655761i
\(546\) −7.04266 + 6.95956i −0.301398 + 0.297842i
\(547\) −20.4450 + 20.4450i −0.874167 + 0.874167i −0.992923 0.118756i \(-0.962109\pi\)
0.118756 + 0.992923i \(0.462109\pi\)
\(548\) −3.65063 + 2.10769i −0.155947 + 0.0900361i
\(549\) 8.60042 4.96545i 0.367057 0.211920i
\(550\) −7.79041 + 3.41121i −0.332184 + 0.145455i
\(551\) −0.564920 0.564920i −0.0240664 0.0240664i
\(552\) 16.2218 28.0970i 0.690446 1.19589i
\(553\) −6.54485 + 11.3360i −0.278315 + 0.482056i
\(554\) 6.90913 + 6.90913i 0.293541 + 0.293541i
\(555\) 11.0197 22.9214i 0.467759 0.972961i
\(556\) 11.3619 6.55982i 0.481854 0.278198i
\(557\) 11.7609 6.79015i 0.498324 0.287708i −0.229697 0.973262i \(-0.573774\pi\)
0.728021 + 0.685555i \(0.240440\pi\)
\(558\) −0.612485 + 0.612485i −0.0259286 + 0.0259286i
\(559\) 27.6356 + 7.58098i 1.16886 + 0.320641i
\(560\) 1.65839 1.92967i 0.0700797 0.0815432i
\(561\) 8.69858 32.4636i 0.367254 1.37061i
\(562\) 7.80052 + 2.09014i 0.329045 + 0.0881673i
\(563\) 1.25538 + 4.68514i 0.0529080 + 0.197455i 0.987321 0.158736i \(-0.0507418\pi\)
−0.934413 + 0.356191i \(0.884075\pi\)
\(564\) −14.7539 + 14.7539i −0.621251 + 0.621251i
\(565\) 3.89868 + 1.87433i 0.164019 + 0.0788535i
\(566\) −5.58573 20.8462i −0.234786 0.876232i
\(567\) 0.557323i 0.0234054i
\(568\) 38.0904 10.2063i 1.59824 0.428247i
\(569\) −0.124396 0.215461i −0.00521497 0.00903259i 0.863406 0.504509i \(-0.168327\pi\)
−0.868621 + 0.495477i \(0.834993\pi\)
\(570\) 3.22722 17.1183i 0.135173 0.717009i
\(571\) 7.72842i 0.323424i −0.986838 0.161712i \(-0.948298\pi\)
0.986838 0.161712i \(-0.0517016\pi\)
\(572\) −1.44832 5.53640i −0.0605572 0.231489i
\(573\) −36.6136 36.6136i −1.52955 1.52955i
\(574\) −6.59281 1.76654i −0.275179 0.0737339i
\(575\) 2.13187 19.1489i 0.0889052 0.798565i
\(576\) −30.1587 17.4121i −1.25661 0.725506i
\(577\) −12.1339 −0.505141 −0.252570 0.967578i \(-0.581276\pi\)
−0.252570 + 0.967578i \(0.581276\pi\)
\(578\) 31.5007 + 18.1869i 1.31026 + 0.756477i
\(579\) 33.8416 9.06783i 1.40641 0.376846i
\(580\) −0.406469 + 0.472958i −0.0168777 + 0.0196385i
\(581\) 4.12821 7.15027i 0.171267 0.296643i
\(582\) 5.54184 20.6824i 0.229717 0.857315i
\(583\) −2.35054 4.07125i −0.0973492 0.168614i
\(584\) 9.75040 0.403475
\(585\) 37.7225 + 7.34368i 1.55963 + 0.303624i
\(586\) −4.11255 −0.169888
\(587\) 18.2647 + 31.6354i 0.753865 + 1.30573i 0.945937 + 0.324351i \(0.105146\pi\)
−0.192072 + 0.981381i \(0.561521\pi\)
\(588\) 4.17904 15.5964i 0.172341 0.643185i
\(589\) −0.242870 + 0.420663i −0.0100073 + 0.0173331i
\(590\) −0.870813 11.5178i −0.0358508 0.474180i
\(591\) 38.4573 10.3046i 1.58192 0.423875i
\(592\) 4.17380 + 2.40974i 0.171542 + 0.0990398i
\(593\) −16.6936 −0.685525 −0.342762 0.939422i \(-0.611363\pi\)
−0.342762 + 0.939422i \(0.611363\pi\)
\(594\) 7.25276 + 4.18738i 0.297584 + 0.171810i
\(595\) 8.80873 + 12.9017i 0.361123 + 0.528917i
\(596\) −3.99327 1.06999i −0.163571 0.0438287i
\(597\) −29.0384 29.0384i −1.18846 1.18846i
\(598\) −13.7018 3.75868i −0.560310 0.153704i
\(599\) 13.2549i 0.541579i 0.962639 + 0.270789i \(0.0872847\pi\)
−0.962639 + 0.270789i \(0.912715\pi\)
\(600\) −41.8384 4.65793i −1.70805 0.190159i
\(601\) −0.546605 0.946748i −0.0222965 0.0386187i 0.854662 0.519185i \(-0.173764\pi\)
−0.876958 + 0.480566i \(0.840431\pi\)
\(602\) −7.56474 + 2.02696i −0.308316 + 0.0826129i
\(603\) 34.7891i 1.41672i
\(604\) −1.65905 6.19166i −0.0675058 0.251935i
\(605\) 6.09216 + 17.3735i 0.247682 + 0.706332i
\(606\) −19.6554 + 19.6554i −0.798446 + 0.798446i
\(607\) −10.8348 40.4361i −0.439771 1.64125i −0.729384 0.684105i \(-0.760193\pi\)
0.289612 0.957144i \(-0.406474\pi\)
\(608\) −12.7652 3.42042i −0.517696 0.138716i
\(609\) −0.203130 + 0.758093i −0.00823126 + 0.0307195i
\(610\) 3.61298 + 3.10506i 0.146285 + 0.125720i
\(611\) 24.4142 + 14.2894i 0.987693 + 0.578087i
\(612\) 23.3204 23.3204i 0.942673 0.942673i
\(613\) 24.1705 13.9548i 0.976235 0.563630i 0.0751039 0.997176i \(-0.476071\pi\)
0.901131 + 0.433546i \(0.142738\pi\)
\(614\) 21.4487 12.3834i 0.865601 0.499755i
\(615\) 14.2835 + 40.7334i 0.575967 + 1.64253i
\(616\) 3.42371 + 3.42371i 0.137945 + 0.137945i
\(617\) −2.19132 + 3.79548i −0.0882193 + 0.152800i −0.906758 0.421650i \(-0.861451\pi\)
0.818539 + 0.574451i \(0.194784\pi\)
\(618\) 5.08477 8.80708i 0.204540 0.354273i
\(619\) −8.67268 8.67268i −0.348584 0.348584i 0.510998 0.859582i \(-0.329276\pi\)
−0.859582 + 0.510998i \(0.829276\pi\)
\(620\) 0.341722 + 0.164286i 0.0137239 + 0.00659787i
\(621\) −16.4313 + 9.48662i −0.659366 + 0.380685i
\(622\) 6.97193 4.02525i 0.279549 0.161398i
\(623\) 0.353304 0.353304i 0.0141548 0.0141548i
\(624\) −3.13910 + 11.4432i −0.125664 + 0.458095i
\(625\) −23.8697 + 7.43216i −0.954788 + 0.297287i
\(626\) −1.26934 + 4.73726i −0.0507332 + 0.189339i
\(627\) 12.2393 + 3.27952i 0.488791 + 0.130971i
\(628\) −5.04668 18.8345i −0.201385 0.751577i
\(629\) −20.9238 + 20.9238i −0.834287 + 0.834287i
\(630\) −9.91112 + 3.47542i −0.394868 + 0.138464i
\(631\) −6.55800 24.4748i −0.261070 0.974326i −0.964612 0.263673i \(-0.915066\pi\)
0.703542 0.710653i \(-0.251601\pi\)
\(632\) 41.0398i 1.63248i
\(633\) −22.9677 + 6.15419i −0.912886 + 0.244607i
\(634\) 11.7220 + 20.3031i 0.465540 + 0.806340i
\(635\) 4.01681 2.74251i 0.159402 0.108833i
\(636\) 7.51646i 0.298047i
\(637\) −21.8908 0.129906i −0.867345 0.00514706i
\(638\) 0.351511 + 0.351511i 0.0139164 + 0.0139164i
\(639\) −60.1003 16.1038i −2.37753 0.637057i
\(640\) −0.910600 + 4.83016i −0.0359946 + 0.190929i
\(641\) −1.41675 0.817961i −0.0559582 0.0323075i 0.471760 0.881727i \(-0.343619\pi\)
−0.527718 + 0.849420i \(0.676952\pi\)
\(642\) −1.26681 −0.0499968
\(643\) 34.3541 + 19.8344i 1.35479 + 0.782191i 0.988917 0.148472i \(-0.0474354\pi\)
0.365878 + 0.930663i \(0.380769\pi\)
\(644\) −3.42248 + 0.917051i −0.134865 + 0.0361369i
\(645\) 37.5627 + 32.2820i 1.47903 + 1.27110i
\(646\) −10.1339 + 17.5525i −0.398714 + 0.690593i
\(647\) −3.84742 + 14.3588i −0.151258 + 0.564501i 0.848139 + 0.529773i \(0.177723\pi\)
−0.999397 + 0.0347277i \(0.988944\pi\)
\(648\) −0.873682 1.51326i −0.0343215 0.0594465i
\(649\) 8.40185 0.329801
\(650\) 2.66362 + 18.2421i 0.104476 + 0.715513i
\(651\) 0.477178 0.0187021
\(652\) 10.2034 + 17.6729i 0.399597 + 0.692123i
\(653\) 3.32718 12.4172i 0.130203 0.485922i −0.869769 0.493459i \(-0.835732\pi\)
0.999972 + 0.00753655i \(0.00239898\pi\)
\(654\) 12.9403 22.4132i 0.506005 0.876426i
\(655\) 0.105565 + 0.0907243i 0.00412476 + 0.00354489i
\(656\) −7.90103 + 2.11708i −0.308483 + 0.0826579i
\(657\) −13.3234 7.69225i −0.519794 0.300103i
\(658\) −7.73102 −0.301387
\(659\) −20.8742 12.0517i −0.813144 0.469469i 0.0349025 0.999391i \(-0.488888\pi\)
−0.848047 + 0.529922i \(0.822221\pi\)
\(660\) 1.83239 9.71965i 0.0713256 0.378337i
\(661\) 37.8150 + 10.1325i 1.47083 + 0.394108i 0.903217 0.429185i \(-0.141199\pi\)
0.567616 + 0.823293i \(0.307866\pi\)
\(662\) −24.2637 24.2637i −0.943036 0.943036i
\(663\) −62.8768 36.8011i −2.44193 1.42924i
\(664\) 25.8862i 1.00458i
\(665\) −4.86415 + 3.32104i −0.188624 + 0.128785i
\(666\) −9.94705 17.2288i −0.385440 0.667602i
\(667\) −1.08784 + 0.291487i −0.0421215 + 0.0112864i
\(668\) 1.63601i 0.0632991i
\(669\) 5.09295 + 19.0071i 0.196905 + 0.734858i
\(670\) −15.7484 + 5.52232i −0.608415 + 0.213346i
\(671\) −2.45030 + 2.45030i −0.0945926 + 0.0945926i
\(672\) 3.36013 + 12.5402i 0.129620 + 0.483747i
\(673\) −9.87723 2.64660i −0.380739 0.102019i 0.0633730 0.997990i \(-0.479814\pi\)
−0.444112 + 0.895971i \(0.646481\pi\)
\(674\) −5.44776 + 20.3313i −0.209840 + 0.783132i
\(675\) 19.8274 + 14.5927i 0.763157 + 0.561675i
\(676\) −12.4044 0.147227i −0.477093 0.00566259i
\(677\) 29.8933 29.8933i 1.14889 1.14889i 0.162121 0.986771i \(-0.448167\pi\)
0.986771 0.162121i \(-0.0518333\pi\)
\(678\) 4.77472 2.75669i 0.183372 0.105870i
\(679\) −6.26961 + 3.61976i −0.240606 + 0.138914i
\(680\) 44.1429 + 21.2221i 1.69280 + 0.813829i
\(681\) 33.8465 + 33.8465i 1.29700 + 1.29700i
\(682\) 0.151121 0.261750i 0.00578673 0.0100229i
\(683\) −10.0103 + 17.3384i −0.383035 + 0.663436i −0.991494 0.130149i \(-0.958455\pi\)
0.608459 + 0.793585i \(0.291788\pi\)
\(684\) 8.79221 + 8.79221i 0.336178 + 0.336178i
\(685\) 3.26859 + 9.32129i 0.124886 + 0.356148i
\(686\) 11.1546 6.44013i 0.425886 0.245885i
\(687\) −30.3998 + 17.5513i −1.15983 + 0.669625i
\(688\) −6.63664 + 6.63664i −0.253019 + 0.253019i
\(689\) −9.85890 + 2.57908i −0.375594 + 0.0982550i
\(690\) −18.6238 16.0056i −0.708994 0.609322i
\(691\) −9.15886 + 34.1813i −0.348420 + 1.30032i 0.540147 + 0.841571i \(0.318369\pi\)
−0.888566 + 0.458749i \(0.848298\pi\)
\(692\) −13.9890 3.74834i −0.531782 0.142491i
\(693\) −1.97729 7.37933i −0.0751109 0.280318i
\(694\) −16.4960 + 16.4960i −0.626181 + 0.626181i
\(695\) −10.1729 29.0109i −0.385881 1.10045i
\(696\) 0.636870 + 2.37683i 0.0241405 + 0.0900935i
\(697\) 50.2221i 1.90230i
\(698\) 10.2586 2.74877i 0.388292 0.104043i
\(699\) 34.6479 + 60.0120i 1.31051 + 2.26986i
\(700\) 2.87123 + 3.59064i 0.108522 + 0.135714i
\(701\) 37.1781i 1.40420i 0.712080 + 0.702098i \(0.247753\pi\)
−0.712080 + 0.702098i \(0.752247\pi\)
\(702\) 12.9129 12.7606i 0.487367 0.481617i
\(703\) −7.88864 7.88864i −0.297526 0.297526i
\(704\) 11.7374 + 3.14502i 0.442368 + 0.118532i
\(705\) 27.5689 + 40.3787i 1.03831 + 1.52075i
\(706\) 3.80843 + 2.19880i 0.143332 + 0.0827529i
\(707\) 9.39830 0.353459
\(708\) 11.6338 + 6.71678i 0.437225 + 0.252432i
\(709\) 46.5506 12.4732i 1.74824 0.468440i 0.763994 0.645224i \(-0.223236\pi\)
0.984250 + 0.176783i \(0.0565692\pi\)
\(710\) −2.25023 29.7626i −0.0844497 1.11697i
\(711\) 32.3770 56.0786i 1.21423 2.10311i
\(712\) 0.405449 1.51316i 0.0151948 0.0567079i
\(713\) 0.342369 + 0.593001i 0.0128218 + 0.0222080i
\(714\) 19.9106 0.745135
\(715\) −13.3774 + 0.931609i −0.500287 + 0.0348402i
\(716\) 2.63300 0.0983998
\(717\) 4.40411 + 7.62814i 0.164474 + 0.284878i
\(718\) −3.90299 + 14.5662i −0.145658 + 0.543604i
\(719\) 16.6992 28.9239i 0.622777 1.07868i −0.366190 0.930540i \(-0.619338\pi\)
0.988966 0.148141i \(-0.0473288\pi\)
\(720\) −8.20394 + 9.54594i −0.305743 + 0.355756i
\(721\) −3.32122 + 0.889918i −0.123689 + 0.0331423i
\(722\) 10.2091 + 5.89421i 0.379942 + 0.219360i
\(723\) 50.2164 1.86757
\(724\) 8.55897 + 4.94153i 0.318092 + 0.183650i
\(725\) 0.912629 + 1.14129i 0.0338942 + 0.0423866i
\(726\) 22.6652 + 6.07313i 0.841186 + 0.225395i
\(727\) −23.6487 23.6487i −0.877083 0.877083i 0.116149 0.993232i \(-0.462945\pi\)
−0.993232 + 0.116149i \(0.962945\pi\)
\(728\) 9.12066 5.19389i 0.338034 0.192499i
\(729\) 43.9226i 1.62676i
\(730\) 1.36723 7.25231i 0.0506036 0.268420i
\(731\) −28.8130 49.9055i −1.06569 1.84582i
\(732\) −5.35173 + 1.43399i −0.197806 + 0.0530018i
\(733\) 14.7049i 0.543138i −0.962419 0.271569i \(-0.912458\pi\)
0.962419 0.271569i \(-0.0875424\pi\)
\(734\) −3.02344 11.2836i −0.111597 0.416486i
\(735\) −34.0997 16.3937i −1.25779 0.604692i
\(736\) −13.1731 + 13.1731i −0.485568 + 0.485568i
\(737\) −3.14184 11.7255i −0.115731 0.431914i
\(738\) 32.6142 + 8.73896i 1.20055 + 0.321686i
\(739\) 5.32432 19.8706i 0.195858 0.730953i −0.796185 0.605054i \(-0.793152\pi\)
0.992043 0.125900i \(-0.0401817\pi\)
\(740\) −5.67600 + 6.60447i −0.208654 + 0.242785i
\(741\) 13.8747 23.7056i 0.509698 0.870848i
\(742\) 1.96931 1.96931i 0.0722956 0.0722956i
\(743\) −38.6601 + 22.3204i −1.41830 + 0.818856i −0.996150 0.0876692i \(-0.972058\pi\)
−0.422151 + 0.906526i \(0.638725\pi\)
\(744\) 1.29565 0.748042i 0.0475007 0.0274246i
\(745\) −4.19742 + 8.73082i −0.153781 + 0.319872i
\(746\) −20.3603 20.3603i −0.745443 0.745443i
\(747\) −20.4220 + 35.3720i −0.747202 + 1.29419i
\(748\) −5.75395 + 9.96614i −0.210385 + 0.364398i
\(749\) 0.302864 + 0.302864i 0.0110664 + 0.0110664i
\(750\) −9.33127 + 30.4661i −0.340730 + 1.11246i
\(751\) 15.2247 8.78996i 0.555555 0.320750i −0.195804 0.980643i \(-0.562732\pi\)
0.751360 + 0.659893i \(0.229398\pi\)
\(752\) −8.02381 + 4.63255i −0.292598 + 0.168932i
\(753\) −27.5353 + 27.5353i −1.00344 + 1.00344i
\(754\) 0.936413 0.533254i 0.0341022 0.0194200i
\(755\) −14.9778 + 1.13241i −0.545097 + 0.0412125i
\(756\) 1.17176 4.37306i 0.0426164 0.159047i
\(757\) 33.9933 + 9.10848i 1.23551 + 0.331053i 0.816722 0.577032i \(-0.195789\pi\)
0.418786 + 0.908085i \(0.362456\pi\)
\(758\) −4.48144 16.7250i −0.162773 0.607478i
\(759\) 12.6305 12.6305i 0.458457 0.458457i
\(760\) −8.00109 + 16.6426i −0.290230 + 0.603692i
\(761\) −3.03122 11.3127i −0.109882 0.410084i 0.888972 0.457962i \(-0.151421\pi\)
−0.998853 + 0.0478787i \(0.984754\pi\)
\(762\) 6.19897i 0.224565i
\(763\) −8.45219 + 2.26476i −0.305990 + 0.0819897i
\(764\) 8.86485 + 15.3544i 0.320719 + 0.555502i
\(765\) −43.5763 63.8238i −1.57550 2.30755i
\(766\) 6.75331i 0.244007i
\(767\) 4.81817 17.5641i 0.173974 0.634202i
\(768\) 33.2233 + 33.2233i 1.19884 + 1.19884i
\(769\) −18.3227 4.90954i −0.660732 0.177043i −0.0871555 0.996195i \(-0.527778\pi\)
−0.573576 + 0.819152i \(0.694444\pi\)
\(770\) 3.02663 2.06646i 0.109072 0.0744700i
\(771\) −55.9401 32.2971i −2.01463 1.16315i
\(772\)