Properties

Label 65.2.t.a.58.2
Level $65$
Weight $2$
Character 65.58
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.t (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: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 58.2
Root \(-1.02262i\) of defining polynomial
Character \(\chi\) \(=\) 65.58
Dual form 65.2.t.a.37.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.885613 - 0.511309i) q^{2} +(2.69193 - 0.721300i) q^{3} +(-0.477126 - 0.826407i) q^{4} +(-1.45744 + 1.69584i) q^{5} +(-2.75281 - 0.737614i) q^{6} +(-0.481787 - 0.834479i) q^{7} +3.02107i q^{8} +(4.12812 - 2.38337i) q^{9} +O(q^{10})\) \(q+(-0.885613 - 0.511309i) q^{2} +(2.69193 - 0.721300i) q^{3} +(-0.477126 - 0.826407i) q^{4} +(-1.45744 + 1.69584i) q^{5} +(-2.75281 - 0.737614i) q^{6} +(-0.481787 - 0.834479i) q^{7} +3.02107i q^{8} +(4.12812 - 2.38337i) q^{9} +(2.15782 - 0.756660i) q^{10} +(1.60661 - 0.430490i) q^{11} +(-1.88048 - 1.88048i) q^{12} +(-3.11175 + 1.82127i) q^{13} +0.985368i q^{14} +(-2.70010 + 5.61633i) q^{15} +(0.590448 - 1.02269i) q^{16} +(-1.87656 + 7.00342i) q^{17} -4.87456 q^{18} +(0.707496 - 2.64041i) q^{19} +(2.09684 + 0.395304i) q^{20} +(-1.89884 - 1.89884i) q^{21} +(-1.64295 - 0.440226i) q^{22} +(-0.997344 - 3.72214i) 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} +(-0.459747 + 0.796304i) q^{28} +(-0.253107 - 0.146132i) q^{29} +(5.26292 - 3.59331i) q^{30} +(-0.125649 + 0.125649i) q^{31} +(4.18683 - 2.41727i) q^{32} +(4.01436 - 2.31769i) q^{33} +(5.24282 - 5.24282i) q^{34} +(2.11732 + 0.399166i) q^{35} +(-3.93927 - 2.27434i) q^{36} +(2.04061 - 3.53443i) 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} +(0.710745 + 2.65254i) q^{42} +(7.67707 + 2.05706i) q^{43} +(-1.12232 - 1.12232i) q^{44} +(-1.97465 + 10.4743i) q^{45} +(-1.01990 + 3.80633i) q^{46} -7.84582 q^{47} +(0.851780 - 3.17888i) q^{48} +(3.03576 - 5.25810i) q^{49} +(-1.86171 + 4.76211i) q^{50} +20.2063i q^{51} +(2.98981 + 1.70259i) q^{52} +(-1.99855 - 1.99855i) q^{53} +(-4.86351 + 1.30317i) q^{54} +(-1.61149 + 3.35197i) q^{55} +(2.52102 - 1.45551i) q^{56} -7.61811i q^{57} +(0.149437 + 0.258832i) q^{58} +(-4.87924 - 1.30739i) q^{59} +(5.92967 - 0.448318i) q^{60} +(-1.04169 - 1.80425i) q^{61} +(0.175522 - 0.0470311i) q^{62} +(-3.97775 - 2.29655i) q^{63} -7.30568 q^{64} +(1.44658 - 7.93142i) q^{65} -4.74023 q^{66} +(6.32050 + 3.64915i) q^{67} +(6.68304 - 1.79071i) q^{68} +(-5.36956 - 9.30034i) q^{69} +(-1.67103 - 1.43611i) q^{70} +(12.6082 + 3.37837i) q^{71} +(7.20034 + 12.4713i) q^{72} +3.22747i q^{73} +(-3.61437 + 2.08676i) q^{74} +(-5.58919 - 12.7644i) q^{75} +(-2.51962 + 0.675130i) q^{76} +(-1.13328 - 1.13328i) q^{77} +(9.90945 - 2.71836i) q^{78} +13.5845i q^{79} +(0.873774 + 2.49180i) q^{80} +(-0.289196 + 0.500902i) q^{81} +(-1.83332 + 6.84204i) q^{82} -8.56854 q^{83} +(-0.663230 + 2.47521i) q^{84} +(-9.14173 - 13.3894i) q^{85} +(-5.74712 - 5.74712i) q^{86} +(-0.786751 - 0.210809i) q^{87} +(1.30054 + 4.85368i) 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} +(-0.247608 + 0.428870i) q^{93} +(6.94836 + 4.01164i) q^{94} +(3.44659 + 5.04803i) q^{95} +(9.52707 - 9.52707i) q^{96} +(-6.50662 + 3.75660i) q^{97} +(-5.37702 + 3.10442i) q^{98} +(5.60626 - 5.60626i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 6q^{2} - 2q^{3} + 6q^{4} - 8q^{6} - 2q^{7} + 12q^{9} + O(q^{10}) \) \( 20q - 6q^{2} - 2q^{3} + 6q^{4} - 8q^{6} - 2q^{7} + 12q^{9} - 2q^{10} - 16q^{11} - 24q^{12} - 4q^{13} - 20q^{15} - 2q^{16} + 4q^{17} - 20q^{19} + 4q^{21} + 16q^{22} - 10q^{23} + 32q^{24} + 18q^{25} - 24q^{26} + 4q^{27} + 18q^{28} - 26q^{30} + 48q^{32} + 18q^{33} + 2q^{34} + 40q^{35} + 36q^{36} - 4q^{37} - 8q^{38} + 4q^{39} - 16q^{40} + 10q^{41} + 40q^{42} + 10q^{43} - 36q^{44} + 4q^{46} - 40q^{47} - 56q^{48} + 18q^{49} + 36q^{50} - 30q^{52} - 10q^{53} - 48q^{54} - 10q^{55} - 16q^{59} + 28q^{60} - 16q^{61} - 44q^{62} - 36q^{63} + 20q^{64} - 14q^{65} - 32q^{66} + 18q^{67} + 22q^{68} - 16q^{69} - 12q^{70} - 16q^{71} + 4q^{72} + 18q^{74} - 38q^{75} - 64q^{76} - 28q^{77} + 68q^{78} - 2q^{80} - 14q^{81} + 56q^{82} + 48q^{83} - 40q^{84} - 26q^{85} + 60q^{86} - 34q^{87} + 82q^{88} - 6q^{89} + 46q^{90} + 8q^{91} - 8q^{92} + 32q^{93} - 48q^{94} - 26q^{95} + 56q^{96} + 66q^{97} - 30q^{98} + 60q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.885613 0.511309i −0.626223 0.361550i 0.153065 0.988216i \(-0.451086\pi\)
−0.779288 + 0.626666i \(0.784419\pi\)
\(3\) 2.69193 0.721300i 1.55418 0.416443i 0.623368 0.781929i \(-0.285764\pi\)
0.930817 + 0.365486i \(0.119097\pi\)
\(4\) −0.477126 0.826407i −0.238563 0.413204i
\(5\) −1.45744 + 1.69584i −0.651785 + 0.758404i
\(6\) −2.75281 0.737614i −1.12383 0.301130i
\(7\) −0.481787 0.834479i −0.182098 0.315404i 0.760497 0.649342i \(-0.224956\pi\)
−0.942595 + 0.333938i \(0.891622\pi\)
\(8\) 3.02107i 1.06811i
\(9\) 4.12812 2.38337i 1.37604 0.794457i
\(10\) 2.15782 0.756660i 0.682364 0.239277i
\(11\) 1.60661 0.430490i 0.484411 0.129797i −0.00834492 0.999965i \(-0.502656\pi\)
0.492756 + 0.870168i \(0.335990\pi\)
\(12\) −1.88048 1.88048i −0.542847 0.542847i
\(13\) −3.11175 + 1.82127i −0.863043 + 0.505130i
\(14\) 0.985368i 0.263351i
\(15\) −2.70010 + 5.61633i −0.697163 + 1.45013i
\(16\) 0.590448 1.02269i 0.147612 0.255671i
\(17\) −1.87656 + 7.00342i −0.455133 + 1.69858i 0.232564 + 0.972581i \(0.425289\pi\)
−0.687697 + 0.725998i \(0.741378\pi\)
\(18\) −4.87456 −1.14894
\(19\) 0.707496 2.64041i 0.162311 0.605752i −0.836057 0.548642i \(-0.815145\pi\)
0.998368 0.0571095i \(-0.0181884\pi\)
\(20\) 2.09684 + 0.395304i 0.468867 + 0.0883927i
\(21\) −1.89884 1.89884i −0.414362 0.414362i
\(22\) −1.64295 0.440226i −0.350277 0.0938565i
\(23\) −0.997344 3.72214i −0.207961 0.776120i −0.988527 0.151046i \(-0.951736\pi\)
0.780566 0.625073i \(-0.214931\pi\)
\(24\) 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
\(28\) −0.459747 + 0.796304i −0.0868839 + 0.150487i
\(29\) −0.253107 0.146132i −0.0470008 0.0271360i 0.476315 0.879274i \(-0.341972\pi\)
−0.523316 + 0.852139i \(0.675305\pi\)
\(30\) 5.26292 3.59331i 0.960874 0.656046i
\(31\) −0.125649 + 0.125649i −0.0225673 + 0.0225673i −0.718300 0.695733i \(-0.755080\pi\)
0.695733 + 0.718300i \(0.255080\pi\)
\(32\) 4.18683 2.41727i 0.740134 0.427317i
\(33\) 4.01436 2.31769i 0.698811 0.403458i
\(34\) 5.24282 5.24282i 0.899136 0.899136i
\(35\) 2.11732 + 0.399166i 0.357892 + 0.0674713i
\(36\) −3.93927 2.27434i −0.656545 0.379057i
\(37\) 2.04061 3.53443i 0.335474 0.581057i −0.648102 0.761553i \(-0.724437\pi\)
0.983576 + 0.180496i \(0.0577703\pi\)
\(38\) −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 −0.952427 0.304765i \(-0.901422\pi\)
0.672444 0.740148i \(-0.265245\pi\)
\(42\) 0.710745 + 2.65254i 0.109670 + 0.409295i
\(43\) 7.67707 + 2.05706i 1.17074 + 0.313699i 0.791248 0.611495i \(-0.209432\pi\)
0.379494 + 0.925194i \(0.376098\pi\)
\(44\) −1.12232 1.12232i −0.169195 0.169195i
\(45\) −1.97465 + 10.4743i −0.294363 + 1.56141i
\(46\) −1.01990 + 3.80633i −0.150376 + 0.561212i
\(47\) −7.84582 −1.14443 −0.572215 0.820103i \(-0.693916\pi\)
−0.572215 + 0.820103i \(0.693916\pi\)
\(48\) 0.851780 3.17888i 0.122944 0.458832i
\(49\) 3.03576 5.25810i 0.433680 0.751156i
\(50\) −1.86171 + 4.76211i −0.263286 + 0.673464i
\(51\) 20.2063i 2.82944i
\(52\) 2.98981 + 1.70259i 0.414612 + 0.236107i
\(53\) −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
\(55\) −1.61149 + 3.35197i −0.217293 + 0.451979i
\(56\) 2.52102 1.45551i 0.336886 0.194501i
\(57\) 7.61811i 1.00904i
\(58\) 0.149437 + 0.258832i 0.0196220 + 0.0339863i
\(59\) −4.87924 1.30739i −0.635223 0.170207i −0.0731843 0.997318i \(-0.523316\pi\)
−0.562039 + 0.827111i \(0.689983\pi\)
\(60\) 5.92967 0.448318i 0.765517 0.0578776i
\(61\) −1.04169 1.80425i −0.133374 0.231011i 0.791601 0.611038i \(-0.209248\pi\)
−0.924975 + 0.380027i \(0.875915\pi\)
\(62\) 0.175522 0.0470311i 0.0222914 0.00597296i
\(63\) −3.97775 2.29655i −0.501149 0.289339i
\(64\) −7.30568 −0.913209
\(65\) 1.44658 7.93142i 0.179426 0.983771i
\(66\) −4.74023 −0.583482
\(67\) 6.32050 + 3.64915i 0.772173 + 0.445814i 0.833649 0.552294i \(-0.186248\pi\)
−0.0614765 + 0.998109i \(0.519581\pi\)
\(68\) 6.68304 1.79071i 0.810437 0.217156i
\(69\) −5.36956 9.30034i −0.646419 1.11963i
\(70\) −1.67103 1.43611i −0.199726 0.171648i
\(71\) 12.6082 + 3.37837i 1.49632 + 0.400939i 0.911867 0.410486i \(-0.134641\pi\)
0.584457 + 0.811425i \(0.301308\pi\)
\(72\) 7.20034 + 12.4713i 0.848568 + 1.46976i
\(73\) 3.22747i 0.377746i 0.982001 + 0.188873i \(0.0604835\pi\)
−0.982001 + 0.188873i \(0.939517\pi\)
\(74\) −3.61437 + 2.08676i −0.420163 + 0.242581i
\(75\) −5.58919 12.7644i −0.645384 1.47390i
\(76\) −2.51962 + 0.675130i −0.289020 + 0.0774427i
\(77\) −1.13328 1.13328i −0.129149 0.129149i
\(78\) 9.90945 2.71836i 1.12202 0.307793i
\(79\) 13.5845i 1.52838i 0.644992 + 0.764190i \(0.276861\pi\)
−0.644992 + 0.764190i \(0.723139\pi\)
\(80\) 0.873774 + 2.49180i 0.0976909 + 0.278592i
\(81\) −0.289196 + 0.500902i −0.0321329 + 0.0556558i
\(82\) −1.83332 + 6.84204i −0.202456 + 0.755577i
\(83\) −8.56854 −0.940519 −0.470260 0.882528i \(-0.655840\pi\)
−0.470260 + 0.882528i \(0.655840\pi\)
\(84\) −0.663230 + 2.47521i −0.0723643 + 0.270067i
\(85\) −9.14173 13.3894i −0.991560 1.45228i
\(86\) −5.74712 5.74712i −0.619728 0.619728i
\(87\) −0.786751 0.210809i −0.0843486 0.0226011i
\(88\) 1.30054 + 4.85368i 0.138638 + 0.517404i
\(89\) −0.134207 0.500868i −0.0142259 0.0530919i 0.958448 0.285267i \(-0.0920823\pi\)
−0.972674 + 0.232175i \(0.925416\pi\)
\(90\) 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
\(93\) −0.247608 + 0.428870i −0.0256758 + 0.0444718i
\(94\) 6.94836 + 4.01164i 0.716669 + 0.413769i
\(95\) 3.44659 + 5.04803i 0.353613 + 0.517917i
\(96\) 9.52707 9.52707i 0.972353 0.972353i
\(97\) −6.50662 + 3.75660i −0.660648 + 0.381425i −0.792524 0.609841i \(-0.791233\pi\)
0.131876 + 0.991266i \(0.457900\pi\)
\(98\) −5.37702 + 3.10442i −0.543161 + 0.313594i
\(99\) 5.60626 5.60626i 0.563450 0.563450i
\(100\) −3.72638 + 2.97978i −0.372638 + 0.297978i
\(101\) 8.44685 + 4.87679i 0.840493 + 0.485259i 0.857432 0.514598i \(-0.172059\pi\)
−0.0169388 + 0.999857i \(0.505392\pi\)
\(102\) 10.3316 17.8949i 1.02298 1.77186i
\(103\) 2.52321 2.52321i 0.248619 0.248619i −0.571784 0.820404i \(-0.693749\pi\)
0.820404 + 0.571784i \(0.193749\pi\)
\(104\) −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
\(107\) −0.115046 0.429359i −0.0111220 0.0415077i 0.960142 0.279513i \(-0.0901731\pi\)
−0.971264 + 0.238005i \(0.923506\pi\)
\(108\) −4.53837 1.21605i −0.436705 0.117015i
\(109\) 6.42134 + 6.42134i 0.615053 + 0.615053i 0.944258 0.329206i \(-0.106781\pi\)
−0.329206 + 0.944258i \(0.606781\pi\)
\(110\) 3.14104 2.14458i 0.299487 0.204477i
\(111\) 2.94378 10.9863i 0.279411 1.04278i
\(112\) −1.13788 −0.107520
\(113\) 0.500704 1.86865i 0.0471023 0.175788i −0.938367 0.345639i \(-0.887662\pi\)
0.985470 + 0.169851i \(0.0543287\pi\)
\(114\) −3.89521 + 6.74670i −0.364820 + 0.631886i
\(115\) 7.76573 + 3.73344i 0.724158 + 0.348145i
\(116\) 0.278893i 0.0258946i
\(117\) −8.50489 + 14.9349i −0.786277 + 1.38073i
\(118\) 3.65264 + 3.65264i 0.336253 + 0.336253i
\(119\) 6.74831 1.80821i 0.618617 0.165758i
\(120\) −16.9673 8.15720i −1.54890 0.744647i
\(121\) −7.13041 + 4.11674i −0.648219 + 0.374249i
\(122\) 2.13050i 0.192886i
\(123\) −9.65202 16.7178i −0.870293 1.50739i
\(124\) 0.163788 + 0.0438869i 0.0147086 + 0.00394116i
\(125\) 9.47847 + 5.92947i 0.847780 + 0.530348i
\(126\) 2.34850 + 4.06772i 0.209221 + 0.362381i
\(127\) −2.10102 + 0.562967i −0.186436 + 0.0499553i −0.350829 0.936440i \(-0.614100\pi\)
0.164393 + 0.986395i \(0.447433\pi\)
\(128\) −1.90366 1.09908i −0.168262 0.0971460i
\(129\) 22.1499 1.95019
\(130\) −5.33651 + 6.28452i −0.468043 + 0.551189i
\(131\) −0.0622493 −0.00543874 −0.00271937 0.999996i \(-0.500866\pi\)
−0.00271937 + 0.999996i \(0.500866\pi\)
\(132\) −3.83072 2.21166i −0.333421 0.192501i
\(133\) −2.54423 + 0.681725i −0.220613 + 0.0591130i
\(134\) −3.73168 6.46346i −0.322368 0.558358i
\(135\) 0.830034 + 10.9784i 0.0714380 + 0.944872i
\(136\) −21.1578 5.66923i −1.81427 0.486132i
\(137\) 2.20873 + 3.82564i 0.188705 + 0.326846i 0.944819 0.327594i \(-0.106238\pi\)
−0.756114 + 0.654440i \(0.772904\pi\)
\(138\) 10.9820i 0.934850i
\(139\) −11.9066 + 6.87430i −1.00991 + 0.583070i −0.911165 0.412043i \(-0.864816\pi\)
−0.0987430 + 0.995113i \(0.531482\pi\)
\(140\) −0.680356 1.94022i −0.0575005 0.163979i
\(141\) −21.1204 + 5.65919i −1.77866 + 0.476590i
\(142\) −9.43864 9.43864i −0.792073 0.792073i
\(143\) −4.21532 + 4.26565i −0.352503 + 0.356711i
\(144\) 5.62903i 0.469085i
\(145\) 0.616704 0.216253i 0.0512145 0.0179588i
\(146\) 1.65023 2.85829i 0.136574 0.236553i
\(147\) 4.37939 16.3441i 0.361206 1.34804i
\(148\) −3.89451 −0.320127
\(149\) 1.12129 4.18471i 0.0918596 0.342825i −0.904665 0.426124i \(-0.859879\pi\)
0.996525 + 0.0832987i \(0.0265456\pi\)
\(150\) −1.57669 + 14.1621i −0.128736 + 1.15633i
\(151\) 4.74990 + 4.74990i 0.386542 + 0.386542i 0.873452 0.486910i \(-0.161876\pi\)
−0.486910 + 0.873452i \(0.661876\pi\)
\(152\) 7.97687 + 2.13740i 0.647010 + 0.173366i
\(153\) 8.94508 + 33.3835i 0.723167 + 2.69890i
\(154\) 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 \(-0.0534784\pi\)
\(158\) 6.94589 12.0306i 0.552586 0.957106i
\(159\) −6.82151 3.93840i −0.540981 0.312336i
\(160\) −2.00273 + 10.6232i −0.158330 + 0.839839i
\(161\) −2.62554 + 2.62554i −0.206922 + 0.206922i
\(162\) 0.512231 0.295737i 0.0402447 0.0232353i
\(163\) 18.5201 10.6926i 1.45061 0.837508i 0.452091 0.891972i \(-0.350678\pi\)
0.998516 + 0.0544633i \(0.0173448\pi\)
\(164\) −4.67387 + 4.67387i −0.364968 + 0.364968i
\(165\) −1.92023 + 10.1856i −0.149490 + 0.792949i
\(166\) 7.58841 + 4.38117i 0.588975 + 0.340045i
\(167\) 0.857220 1.48475i 0.0663337 0.114893i −0.830951 0.556345i \(-0.812203\pi\)
0.897285 + 0.441452i \(0.145536\pi\)
\(168\) 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
\(172\) −1.96296 7.32587i −0.149674 0.558592i
\(173\) −14.6596 3.92804i −1.11455 0.298643i −0.345875 0.938281i \(-0.612418\pi\)
−0.768677 + 0.639638i \(0.779084\pi\)
\(174\) 0.588968 + 0.588968i 0.0446496 + 0.0446496i
\(175\) −3.76278 + 3.00888i −0.284439 + 0.227450i
\(176\) 0.508363 1.89724i 0.0383193 0.143010i
\(177\) −14.0776 −1.05814
\(178\) −0.137243 + 0.512196i −0.0102868 + 0.0383907i
\(179\) −1.37961 + 2.38956i −0.103117 + 0.178604i −0.912967 0.408033i \(-0.866215\pi\)
0.809850 + 0.586637i \(0.199548\pi\)
\(180\) 9.59815 3.36568i 0.715404 0.250863i
\(181\) 10.3568i 0.769818i −0.922954 0.384909i \(-0.874233\pi\)
0.922954 0.384909i \(-0.125767\pi\)
\(182\) −1.79462 3.06621i −0.133026 0.227283i
\(183\) −4.10555 4.10555i −0.303491 0.303491i
\(184\) 11.2449 3.01305i 0.828981 0.222125i
\(185\) 3.01979 + 8.61176i 0.222019 + 0.633149i
\(186\) 0.438570 0.253209i 0.0321575 0.0185662i
\(187\) 12.0596i 0.881885i
\(188\) 3.74345 + 6.48384i 0.273019 + 0.472883i
\(189\) −4.58270 1.22793i −0.333342 0.0893188i
\(190\) −0.471242 6.23287i −0.0341875 0.452180i
\(191\) −9.28983 16.0905i −0.672189 1.16427i −0.977282 0.211943i \(-0.932021\pi\)
0.305093 0.952322i \(-0.401312\pi\)
\(192\) −19.6663 + 5.26958i −1.41930 + 0.380299i
\(193\) −10.8872 6.28576i −0.783681 0.452459i 0.0540520 0.998538i \(-0.482786\pi\)
−0.837733 + 0.546079i \(0.816120\pi\)
\(194\) 7.68313 0.551617
\(195\) −1.82685 22.3942i −0.130823 1.60368i
\(196\) −5.79377 −0.413841
\(197\) 12.3722 + 7.14308i 0.881481 + 0.508924i 0.871147 0.491023i \(-0.163377\pi\)
0.0103349 + 0.999947i \(0.496710\pi\)
\(198\) −7.83150 + 2.09845i −0.556561 + 0.149130i
\(199\) 7.36781 + 12.7614i 0.522291 + 0.904634i 0.999664 + 0.0259331i \(0.00825568\pi\)
−0.477373 + 0.878701i \(0.658411\pi\)
\(200\) 14.9336 2.27113i 1.05597 0.160593i
\(201\) 19.6465 + 5.26425i 1.38575 + 0.371312i
\(202\) −4.98709 8.63790i −0.350891 0.607760i
\(203\) 0.281617i 0.0197656i
\(204\) 16.6986 9.64094i 1.16914 0.675001i
\(205\) 13.9592 + 6.71103i 0.974956 + 0.468718i
\(206\) −3.52473 + 0.944449i −0.245580 + 0.0658029i
\(207\) −12.9884 12.9884i −0.902756 0.902756i
\(208\) 0.0252664 + 4.25770i 0.00175191 + 0.295219i
\(209\) 4.54668i 0.314500i
\(210\) −5.53415 2.66059i −0.381893 0.183598i
\(211\) 4.26604 7.38900i 0.293686 0.508680i −0.680992 0.732291i \(-0.738451\pi\)
0.974678 + 0.223611i \(0.0717845\pi\)
\(212\) −0.698056 + 2.60518i −0.0479427 + 0.178925i
\(213\) 36.3773 2.49253
\(214\) −0.117649 + 0.439070i −0.00804229 + 0.0300142i
\(215\) −14.6773 + 10.0211i −1.00098 + 0.683431i
\(216\) 10.5181 + 10.5181i 0.715669 + 0.715669i
\(217\) 0.165388 + 0.0443156i 0.0112273 + 0.00300834i
\(218\) −2.40353 8.97011i −0.162788 0.607532i
\(219\) 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
\(223\) −3.53040 + 6.11483i −0.236413 + 0.409479i −0.959682 0.281087i \(-0.909305\pi\)
0.723269 + 0.690566i \(0.242638\pi\)
\(224\) −4.03432 2.32922i −0.269555 0.155627i
\(225\) −14.8848 18.6142i −0.992317 1.24095i
\(226\) −1.39889 + 1.39889i −0.0930527 + 0.0930527i
\(227\) 14.8744 8.58775i 0.987249 0.569989i 0.0827985 0.996566i \(-0.473614\pi\)
0.904451 + 0.426578i \(0.140281\pi\)
\(228\) −6.29566 + 3.63480i −0.416940 + 0.240721i
\(229\) −8.90647 + 8.90647i −0.588556 + 0.588556i −0.937240 0.348684i \(-0.886629\pi\)
0.348684 + 0.937240i \(0.386629\pi\)
\(230\) −4.96849 7.27707i −0.327612 0.479836i
\(231\) −3.86813 2.23327i −0.254504 0.146938i
\(232\) 0.441474 0.764655i 0.0289842 0.0502021i
\(233\) −17.5822 + 17.5822i −1.15185 + 1.15185i −0.165666 + 0.986182i \(0.552977\pi\)
−0.986182 + 0.165666i \(0.947023\pi\)
\(234\) 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
\(237\) 9.79852 + 36.5686i 0.636482 + 2.37538i
\(238\) −6.90095 1.84910i −0.447322 0.119860i
\(239\) −2.23488 2.23488i −0.144562 0.144562i 0.631122 0.775684i \(-0.282595\pi\)
−0.775684 + 0.631122i \(0.782595\pi\)
\(240\) 4.14947 + 6.07750i 0.267847 + 0.392301i
\(241\) −4.66361 + 17.4048i −0.300409 + 1.12114i 0.636416 + 0.771346i \(0.280416\pi\)
−0.936825 + 0.349797i \(0.886250\pi\)
\(242\) 8.41971 0.541239
\(243\) −4.24025 + 15.8248i −0.272012 + 1.01516i
\(244\) −0.994033 + 1.72172i −0.0636364 + 0.110222i
\(245\) 4.49247 + 12.8115i 0.287013 + 0.818497i
\(246\) 19.7406i 1.25862i
\(247\) 2.60736 + 9.50483i 0.165902 + 0.604778i
\(248\) −0.379596 0.379596i −0.0241044 0.0241044i
\(249\) −23.0659 + 6.18048i −1.46174 + 0.391672i
\(250\) −5.36246 10.0976i −0.339152 0.638631i
\(251\) 12.1009 6.98644i 0.763800 0.440980i −0.0668586 0.997762i \(-0.521298\pi\)
0.830658 + 0.556782i \(0.187964\pi\)
\(252\) 4.38299i 0.276102i
\(253\) −3.20468 5.55068i −0.201477 0.348968i
\(254\) 2.14854 + 0.575700i 0.134812 + 0.0361227i
\(255\) −34.2666 29.4493i −2.14586 1.84419i
\(256\) 8.42962 + 14.6005i 0.526851 + 0.912533i
\(257\) −22.3881 + 5.99887i −1.39653 + 0.374199i −0.877098 0.480312i \(-0.840524\pi\)
−0.519433 + 0.854511i \(0.673857\pi\)
\(258\) −19.6162 11.3254i −1.22125 0.705090i
\(259\) −3.93255 −0.244357
\(260\) −7.24478 + 2.58883i −0.449302 + 0.160552i
\(261\) −1.39314 −0.0862334
\(262\) 0.0551288 + 0.0318286i 0.00340587 + 0.00196638i
\(263\) −1.25672 + 0.336737i −0.0774926 + 0.0207641i −0.297357 0.954766i \(-0.596105\pi\)
0.219864 + 0.975530i \(0.429438\pi\)
\(264\) 7.00191 + 12.1277i 0.430938 + 0.746407i
\(265\) 6.30199 0.476468i 0.387128 0.0292692i
\(266\) 2.60178 + 0.697144i 0.159525 + 0.0427446i
\(267\) −0.722551 1.25150i −0.0442194 0.0765903i
\(268\) 6.96441i 0.425419i
\(269\) −6.87429 + 3.96887i −0.419133 + 0.241986i −0.694706 0.719294i \(-0.744466\pi\)
0.275574 + 0.961280i \(0.411132\pi\)
\(270\) 4.87828 10.1470i 0.296883 0.617529i
\(271\) −0.865041 + 0.231787i −0.0525475 + 0.0140801i −0.284997 0.958528i \(-0.591993\pi\)
0.232450 + 0.972608i \(0.425326\pi\)
\(272\) 6.05429 + 6.05429i 0.367095 + 0.367095i
\(273\) 9.36704 + 2.45041i 0.566919 + 0.148305i
\(274\) 4.51738i 0.272905i
\(275\) −3.33577 7.61810i −0.201154 0.459389i
\(276\) −5.12391 + 8.87488i −0.308423 + 0.534205i
\(277\) 2.47298 9.22930i 0.148587 0.554535i −0.850982 0.525194i \(-0.823993\pi\)
0.999569 0.0293404i \(-0.00934068\pi\)
\(278\) 14.0596 0.843236
\(279\) −0.219227 + 0.818165i −0.0131248 + 0.0489823i
\(280\) −1.20591 + 6.39657i −0.0720668 + 0.382268i
\(281\) 5.58408 + 5.58408i 0.333118 + 0.333118i 0.853769 0.520651i \(-0.174311\pi\)
−0.520651 + 0.853769i \(0.674311\pi\)
\(282\) 21.5981 + 5.78719i 1.28615 + 0.344622i
\(283\) −5.46218 20.3851i −0.324693 1.21177i −0.914620 0.404314i \(-0.867510\pi\)
0.589927 0.807457i \(-0.299157\pi\)
\(284\) −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
\(288\) 11.5225 19.9576i 0.678970 1.17601i
\(289\) −30.8040 17.7847i −1.81200 1.04616i
\(290\) −0.656733 0.123810i −0.0385647 0.00727037i
\(291\) −14.8057 + 14.8057i −0.867927 + 0.867927i
\(292\) 2.66720 1.53991i 0.156086 0.0901164i
\(293\) 3.48280 2.01079i 0.203467 0.117472i −0.394805 0.918765i \(-0.629188\pi\)
0.598272 + 0.801293i \(0.295854\pi\)
\(294\) −12.2353 + 12.2353i −0.713579 + 0.713579i
\(295\) 9.32830 6.36899i 0.543115 0.370817i
\(296\) 10.6778 + 6.16482i 0.620633 + 0.358323i
\(297\) 4.09477 7.09234i 0.237602 0.411539i
\(298\) −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
\(302\) −1.77791 6.63524i −0.102307 0.381815i
\(303\) 26.2559 + 7.03525i 1.50836 + 0.404165i
\(304\) −2.28257 2.28257i −0.130914 0.130914i
\(305\) 4.57792 + 0.863049i 0.262131 + 0.0494180i
\(306\) 9.14740 34.1386i 0.522922 1.95157i
\(307\) 24.2191 1.38226 0.691128 0.722732i \(-0.257114\pi\)
0.691128 + 0.722732i \(0.257114\pi\)
\(308\) −0.395832 + 1.47727i −0.0225546 + 0.0841750i
\(309\) 4.97231 8.61229i 0.282865 0.489936i
\(310\) −0.176055 + 0.366203i −0.00999927 + 0.0207989i
\(311\) 7.87243i 0.446405i 0.974772 + 0.223202i \(0.0716511\pi\)
−0.974772 + 0.223202i \(0.928349\pi\)
\(312\) −21.5923 21.3376i −1.22242 1.20800i
\(313\) 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
\(315\) 9.69191 3.39855i 0.546077 0.191487i
\(316\) 11.2264 6.48154i 0.631532 0.364615i
\(317\) 22.9255i 1.28762i −0.765184 0.643812i \(-0.777352\pi\)
0.765184 0.643812i \(-0.222648\pi\)
\(318\) 4.02748 + 6.97580i 0.225850 + 0.391183i
\(319\) −0.469553 0.125816i −0.0262899 0.00704436i
\(320\) 10.6476 12.3893i 0.595216 0.692581i
\(321\) −0.619393 1.07282i −0.0345712 0.0598790i
\(322\) 3.66768 0.982751i 0.204392 0.0547666i
\(323\) 17.1643 + 9.90979i 0.955044 + 0.551395i
\(324\) 0.551932 0.0306629
\(325\) 11.3421 + 14.0127i 0.629149 + 0.777285i
\(326\) −21.8689 −1.21120
\(327\) 21.9175 + 12.6541i 1.21204 + 0.699771i
\(328\) 20.2131 5.41609i 1.11608 0.299053i
\(329\) 3.78001 + 6.54718i 0.208399 + 0.360958i
\(330\) 6.90858 8.03868i 0.380305 0.442515i
\(331\) −32.4118 8.68470i −1.78151 0.477354i −0.790653 0.612264i \(-0.790259\pi\)
−0.990858 + 0.134910i \(0.956925\pi\)
\(332\) 4.08828 + 7.08110i 0.224373 + 0.388626i
\(333\) 19.4541i 1.06608i
\(334\) −1.51833 + 0.876609i −0.0830794 + 0.0479659i
\(335\) −15.4001 + 5.40018i −0.841398 + 0.295044i
\(336\) −3.06309 + 0.820752i −0.167105 + 0.0447757i
\(337\) −14.5544 14.5544i −0.792826 0.792826i 0.189126 0.981953i \(-0.439434\pi\)
−0.981953 + 0.189126i \(0.939434\pi\)
\(338\) −11.4333 + 6.78318i −0.621888 + 0.368957i
\(339\) 5.39143i 0.292822i
\(340\) −6.70333 + 13.9432i −0.363539 + 0.756178i
\(341\) −0.147779 + 0.255960i −0.00800267 + 0.0138610i
\(342\) −3.44873 + 12.8708i −0.186486 + 0.695975i
\(343\) −12.5954 −0.680087
\(344\) −6.21454 + 23.1930i −0.335065 + 1.25048i
\(345\) 23.5977 + 4.44873i 1.27046 + 0.239512i
\(346\) 10.9743 + 10.9743i 0.589983 + 0.589983i
\(347\) −22.0356 5.90442i −1.18293 0.316966i −0.386844 0.922145i \(-0.626435\pi\)
−0.796089 + 0.605179i \(0.793101\pi\)
\(348\) 0.201165 + 0.750759i 0.0107836 + 0.0402449i
\(349\) −2.68798 10.0317i −0.143884 0.536983i −0.999803 0.0198718i \(-0.993674\pi\)
0.855918 0.517111i \(-0.172992\pi\)
\(350\) 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
\(353\) −2.15017 + 3.72420i −0.114442 + 0.198219i −0.917556 0.397605i \(-0.869841\pi\)
0.803115 + 0.595825i \(0.203175\pi\)
\(354\) 12.4673 + 7.19799i 0.662629 + 0.382569i
\(355\) −24.1049 + 16.4578i −1.27935 + 0.873491i
\(356\) −0.349887 + 0.349887i −0.0185440 + 0.0185440i
\(357\) 16.8617 9.73511i 0.892416 0.515237i
\(358\) 2.44361 1.41082i 0.129149 0.0745640i
\(359\) −10.4273 + 10.4273i −0.550333 + 0.550333i −0.926537 0.376204i \(-0.877229\pi\)
0.376204 + 0.926537i \(0.377229\pi\)
\(360\) −31.6435 5.96555i −1.66776 0.314412i
\(361\) 9.98326 + 5.76384i 0.525435 + 0.303360i
\(362\) −5.29555 + 9.17216i −0.278328 + 0.482078i
\(363\) −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
\(367\) 2.95657 + 11.0341i 0.154331 + 0.575973i 0.999162 + 0.0409383i \(0.0130347\pi\)
−0.844830 + 0.535034i \(0.820299\pi\)
\(368\) −4.39546 1.17776i −0.229129 0.0613950i
\(369\) −23.3472 23.3472i −1.21541 1.21541i
\(370\) 1.72890 9.17073i 0.0898814 0.476763i
\(371\) −0.704874 + 2.63063i −0.0365953 + 0.136575i
\(372\) 0.472562 0.0245012
\(373\) 7.28755 27.1975i 0.377335 1.40823i −0.472568 0.881294i \(-0.656673\pi\)
0.849903 0.526939i \(-0.176661\pi\)
\(374\) 6.16618 10.6801i 0.318846 0.552257i
\(375\) 29.7923 + 9.12489i 1.53847 + 0.471207i
\(376\) 23.7028i 1.22238i
\(377\) 1.05375 0.00625324i 0.0542709 0.000322058i
\(378\) 3.43065 + 3.43065i 0.176453 + 0.176453i
\(379\) 16.3551 4.38232i 0.840103 0.225105i 0.186987 0.982362i \(-0.440128\pi\)
0.653116 + 0.757258i \(0.273461\pi\)
\(380\) 2.52727 5.25684i 0.129646 0.269670i
\(381\) −5.24973 + 3.03093i −0.268952 + 0.155279i
\(382\) 18.9999i 0.972119i
\(383\) −3.30197 5.71918i −0.168723 0.292236i 0.769248 0.638950i \(-0.220631\pi\)
−0.937971 + 0.346714i \(0.887298\pi\)
\(384\) −5.91729 1.58553i −0.301966 0.0809114i
\(385\) 3.57354 0.270181i 0.182124 0.0137697i
\(386\) 6.42793 + 11.1335i 0.327173 + 0.566680i
\(387\) 36.5946 9.80550i 1.86021 0.498441i
\(388\) 6.20897 + 3.58475i 0.315212 + 0.181988i
\(389\) 33.6949 1.70840 0.854199 0.519946i \(-0.174048\pi\)
0.854199 + 0.519946i \(0.174048\pi\)
\(390\) −9.83248 + 20.7667i −0.497887 + 1.05156i
\(391\) 27.9393 1.41295
\(392\) 15.8851 + 9.17126i 0.802318 + 0.463218i
\(393\) −0.167570 + 0.0449004i −0.00845281 + 0.00226492i
\(394\) −7.30464 12.6520i −0.368003 0.637399i
\(395\) −23.0372 19.7986i −1.15913 0.996175i
\(396\) −7.30795 1.95816i −0.367238 0.0984012i
\(397\) −2.91045 5.04104i −0.146071 0.253002i 0.783701 0.621138i \(-0.213329\pi\)
−0.929772 + 0.368136i \(0.879996\pi\)
\(398\) 15.0689i 0.755337i
\(399\) −6.35716 + 3.67031i −0.318256 + 0.183745i
\(400\) −5.49918 2.14986i −0.274959 0.107493i
\(401\) 0.255004 0.0683280i 0.0127343 0.00341214i −0.252446 0.967611i \(-0.581235\pi\)
0.265181 + 0.964199i \(0.414568\pi\)
\(402\) −14.7075 14.7075i −0.733544 0.733544i
\(403\) 0.162147 0.619831i 0.00807713 0.0308760i
\(404\) 9.30738i 0.463060i
\(405\) −0.427966 1.22046i −0.0212658 0.0606453i
\(406\) 0.143993 0.249404i 0.00714627 0.0123777i
\(407\) 1.75692 6.55691i 0.0870872 0.325014i
\(408\) −61.0446 −3.02216
\(409\) −9.61872 + 35.8975i −0.475615 + 1.77502i 0.143427 + 0.989661i \(0.454188\pi\)
−0.619042 + 0.785358i \(0.712479\pi\)
\(410\) −8.93108 13.0809i −0.441074 0.646017i
\(411\) 8.70518 + 8.70518i 0.429395 + 0.429395i
\(412\) −3.28909 0.881310i −0.162042 0.0434190i
\(413\) 1.25977 + 4.70151i 0.0619890 + 0.231346i
\(414\) 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
\(418\) −2.32476 + 4.02660i −0.113708 + 0.196947i
\(419\) 29.3721 + 16.9580i 1.43492 + 0.828451i 0.997490 0.0708027i \(-0.0225561\pi\)
0.437428 + 0.899253i \(0.355889\pi\)
\(420\) −3.23095 4.73219i −0.157654 0.230907i
\(421\) −21.5599 + 21.5599i −1.05076 + 1.05076i −0.0521230 + 0.998641i \(0.516599\pi\)
−0.998641 + 0.0521230i \(0.983401\pi\)
\(422\) −7.55613 + 4.36253i −0.367826 + 0.212365i
\(423\) −32.3885 + 18.6995i −1.57478 + 0.909201i
\(424\) 6.03777 6.03777i 0.293220 0.293220i
\(425\) 36.0298 + 4.01124i 1.74770 + 0.194574i
\(426\) −32.2162 18.6000i −1.56088 0.901175i
\(427\) −1.00374 + 1.73853i −0.0485745 + 0.0841335i
\(428\) −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 0.988648 0.150253i \(-0.0480089\pi\)
−0.931320 + 0.364201i \(0.881342\pi\)
\(432\) −1.50488 5.61627i −0.0724033 0.270213i
\(433\) −3.86627 1.03596i −0.185801 0.0497853i 0.164719 0.986341i \(-0.447328\pi\)
−0.350520 + 0.936555i \(0.613995\pi\)
\(434\) −0.123811 0.123811i −0.00594311 0.00594311i
\(435\) 1.50414 1.02696i 0.0721179 0.0492392i
\(436\) 2.24285 8.37043i 0.107413 0.400871i
\(437\) −10.5336 −0.503890
\(438\) 2.38062 8.88461i 0.113751 0.424523i
\(439\) 11.3618 19.6793i 0.542271 0.939242i −0.456502 0.889723i \(-0.650898\pi\)
0.998773 0.0495192i \(-0.0157689\pi\)
\(440\) −10.1265 4.86842i −0.482763 0.232093i
\(441\) 28.9414i 1.37816i
\(442\) −6.76571 + 25.8629i −0.321812 + 1.23017i
\(443\) 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
\(445\) 1.04499 + 0.502388i 0.0495373 + 0.0238155i
\(446\) 6.25313 3.61025i 0.296094 0.170950i
\(447\) 12.0737i 0.571067i
\(448\) 3.51978 + 6.09644i 0.166294 + 0.288030i
\(449\) 31.0770 + 8.32705i 1.46661 + 0.392978i 0.901769 0.432219i \(-0.142269\pi\)
0.564845 + 0.825197i \(0.308936\pi\)
\(450\) 3.66451 + 24.0957i 0.172746 + 1.13588i
\(451\) −5.76056 9.97759i −0.271254 0.469826i
\(452\) −1.78317 + 0.477798i −0.0838731 + 0.0224737i
\(453\) 16.2125 + 9.36029i 0.761729 + 0.439785i
\(454\) −17.5640 −0.824318
\(455\) −7.31555 + 2.61411i −0.342958 + 0.122552i
\(456\) 23.0149 1.07777
\(457\) −24.5669 14.1837i −1.14919 0.663486i −0.200501 0.979693i \(-0.564257\pi\)
−0.948690 + 0.316208i \(0.897590\pi\)
\(458\) 12.4416 3.33373i 0.581360 0.155775i
\(459\) 17.8496 + 30.9165i 0.833149 + 1.44306i
\(460\) −0.619891 8.19898i −0.0289026 0.382279i
\(461\) −11.1174 2.97890i −0.517790 0.138741i −0.00954570 0.999954i \(-0.503039\pi\)
−0.508244 + 0.861213i \(0.669705\pi\)
\(462\) 2.28378 + 3.95562i 0.106251 + 0.184032i
\(463\) 29.9456i 1.39169i 0.718192 + 0.695845i \(0.244970\pi\)
−0.718192 + 0.695845i \(0.755030\pi\)
\(464\) −0.298893 + 0.172566i −0.0138758 + 0.00801118i
\(465\) −0.366423 1.04496i −0.0169925 0.0484586i
\(466\) 24.5609 6.58109i 1.13776 0.304863i
\(467\) 16.1332 + 16.1332i 0.746557 + 0.746557i 0.973831 0.227274i \(-0.0729812\pi\)
−0.227274 + 0.973831i \(0.572981\pi\)
\(468\) 16.4002 0.0973232i 0.758100 0.00449877i
\(469\) 7.03244i 0.324728i
\(470\) −16.9299 + 5.93662i −0.780918 + 0.273836i
\(471\) 28.4732 49.3170i 1.31197 2.27241i
\(472\) 3.94971 14.7405i 0.181800 0.678488i
\(473\) 13.2196 0.607837
\(474\) 10.0201 37.3957i 0.460240 1.71764i
\(475\) −13.5838 1.51231i −0.623270 0.0693894i
\(476\) −4.71411 4.71411i −0.216071 0.216071i
\(477\) −13.0136 3.48697i −0.595850 0.159657i
\(478\) 0.836524 + 3.12195i 0.0382617 + 0.142795i
\(479\) −10.0493 37.5043i −0.459162 1.71362i −0.675555 0.737309i \(-0.736096\pi\)
0.216393 0.976306i \(-0.430571\pi\)
\(480\) 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
\(483\) −5.17396 + 8.96157i −0.235424 + 0.407765i
\(484\) 6.80421 + 3.92841i 0.309282 + 0.178564i
\(485\) 3.11238 16.5092i 0.141326 0.749645i
\(486\) 11.8466 11.8466i 0.537372 0.537372i
\(487\) −25.0660 + 14.4718i −1.13585 + 0.655782i −0.945399 0.325916i \(-0.894327\pi\)
−0.190448 + 0.981697i \(0.560994\pi\)
\(488\) 5.45078 3.14701i 0.246745 0.142458i
\(489\) 42.1422 42.1422i 1.90574 1.90574i
\(490\) 2.57205 13.6431i 0.116193 0.616332i
\(491\) 6.30003 + 3.63733i 0.284317 + 0.164150i 0.635376 0.772203i \(-0.280845\pi\)
−0.351059 + 0.936353i \(0.614178\pi\)
\(492\) −9.21046 + 15.9530i −0.415240 + 0.719216i
\(493\) 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
\(497\) −3.25531 12.1490i −0.146021 0.544956i
\(498\) 23.5876 + 6.32027i 1.05698 + 0.283218i
\(499\) 4.24201 + 4.24201i 0.189899 + 0.189899i 0.795652 0.605754i \(-0.207128\pi\)
−0.605754 + 0.795652i \(0.707128\pi\)
\(500\) 0.377731 10.6622i 0.0168926 0.476827i
\(501\) 1.23663 4.61515i 0.0552483 0.206190i
\(502\) −14.2889 −0.637745
\(503\) 0.939636 3.50677i 0.0418963 0.156359i −0.941809 0.336149i \(-0.890875\pi\)
0.983705 + 0.179790i \(0.0575419\pi\)
\(504\) 6.93805 12.0171i 0.309046 0.535283i
\(505\) −20.5810 + 7.21692i −0.915843 + 0.321149i
\(506\) 6.55433i 0.291376i
\(507\) 8.96091 35.1039i 0.397968 1.55902i
\(508\) 1.46769 + 1.46769i 0.0651184 + 0.0651184i
\(509\) −22.5037 + 6.02986i −0.997460 + 0.267269i −0.720381 0.693578i \(-0.756033\pi\)
−0.277079 + 0.960847i \(0.589366\pi\)
\(510\) 15.2893 + 43.6015i 0.677020 + 1.93071i
\(511\) 2.69325 1.55495i 0.119143 0.0687870i
\(512\) 12.8442i 0.567640i
\(513\) −6.72962 11.6560i −0.297120 0.514627i
\(514\) 22.8945 + 6.13455i 1.00983 + 0.270584i
\(515\) 0.601550 + 7.95639i 0.0265075 + 0.350600i
\(516\) −10.5683 18.3048i −0.465243 0.805824i
\(517\) −12.6052 + 3.37754i −0.554375 + 0.148544i
\(518\) 3.48272 + 2.01075i 0.153022 + 0.0883472i
\(519\) −42.2960 −1.85659
\(520\) 23.9614 + 4.37021i 1.05078 + 0.191647i
\(521\) −13.0530 −0.571862 −0.285931 0.958250i \(-0.592303\pi\)
−0.285931 + 0.958250i \(0.592303\pi\)
\(522\) 1.23379 + 0.712327i 0.0540013 + 0.0311777i
\(523\) −16.4404 + 4.40520i −0.718890 + 0.192626i −0.599677 0.800243i \(-0.704704\pi\)
−0.119214 + 0.992869i \(0.538037\pi\)
\(524\) 0.0297008 + 0.0514432i 0.00129748 + 0.00224731i
\(525\) −7.95882 + 10.8138i −0.347351 + 0.471952i
\(526\) 1.28514 + 0.344353i 0.0560349 + 0.0150145i
\(527\) −0.644187 1.11577i −0.0280612 0.0486035i
\(528\) 5.47391i 0.238221i
\(529\) 7.05896 4.07549i 0.306911 0.177195i
\(530\) −5.82475 2.80030i −0.253011 0.121637i
\(531\) −23.2581 + 6.23198i −1.00931 + 0.270445i
\(532\) 1.77730 + 1.77730i 0.0770558 + 0.0770558i
\(533\) 17.7643 + 17.5547i 0.769456 + 0.760377i
\(534\) 1.47779i 0.0639501i
\(535\) 0.895798 + 0.430663i 0.0387287 + 0.0186192i
\(536\) −11.0243 + 19.0947i −0.476178 + 0.824765i
\(537\) −1.99023 + 7.42764i −0.0858847 + 0.320526i
\(538\) 8.11728 0.349961
\(539\) 2.61373 9.75457i 0.112581 0.420159i
\(540\) 8.67662 5.92404i 0.373382 0.254930i
\(541\) −10.9728 10.9728i −0.471756 0.471756i 0.430727 0.902483i \(-0.358257\pi\)
−0.902483 + 0.430727i \(0.858257\pi\)
\(542\) 0.884606 + 0.237029i 0.0379971 + 0.0101813i
\(543\) −7.47039 27.8799i −0.320585 1.19644i
\(544\) 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 \(0.462109\pi\)
\(548\) 2.10769 3.65063i 0.0900361 0.155947i
\(549\) −8.60042 4.96545i −0.367057 0.211920i
\(550\) −0.941005 + 8.45230i −0.0401246 + 0.360407i
\(551\) −0.564920 + 0.564920i −0.0240664 + 0.0240664i
\(552\) 28.0970 16.2218i 1.19589 0.690446i
\(553\) 11.3360 6.54485i 0.482056 0.278315i
\(554\) −6.90913 + 6.90913i −0.293541 + 0.293541i
\(555\) 14.3407 + 21.0040i 0.608729 + 0.891572i
\(556\) 11.3619 + 6.55982i 0.481854 + 0.278198i
\(557\) 6.79015 11.7609i 0.287708 0.498324i −0.685555 0.728021i \(-0.740440\pi\)
0.973262 + 0.229697i \(0.0737735\pi\)
\(558\) 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
\(562\) −2.09014 7.80052i −0.0881673 0.329045i
\(563\) 4.68514 + 1.25538i 0.197455 + 0.0529080i 0.356191 0.934413i \(-0.384075\pi\)
−0.158736 + 0.987321i \(0.550742\pi\)
\(564\) 14.7539 + 14.7539i 0.621251 + 0.621251i
\(565\) 2.43920 + 3.57256i 0.102618 + 0.150299i
\(566\) −5.58573 + 20.8462i −0.234786 + 0.876232i
\(567\) 0.557323 0.0234054
\(568\) −10.2063 + 38.0904i −0.428247 + 1.59824i
\(569\) 0.124396 0.215461i 0.00521497 0.00903259i −0.863406 0.504509i \(-0.831673\pi\)
0.868621 + 0.495477i \(0.165007\pi\)
\(570\) −5.76432 16.4385i −0.241441 0.688534i
\(571\) 7.72842i 0.323424i 0.986838 + 0.161712i \(0.0517016\pi\)
−0.986838 + 0.161712i \(0.948298\pi\)
\(572\) 5.53640 + 1.44832i 0.231489 + 0.0605572i
\(573\) −36.6136 36.6136i −1.52955 1.52955i
\(574\) 6.59281 1.76654i 0.275179 0.0737339i
\(575\) −17.6494 + 7.72820i −0.736030 + 0.322288i
\(576\) −30.1587 + 17.4121i −1.25661 + 0.725506i
\(577\) 12.1339i 0.505141i 0.967578 + 0.252570i \(0.0812760\pi\)
−0.967578 + 0.252570i \(0.918724\pi\)
\(578\) 18.1869 + 31.5007i 0.756477 + 1.31026i
\(579\) −33.8416 9.06783i −1.40641 0.376846i
\(580\) −0.472958 0.406469i −0.0196385 0.0168777i
\(581\) 4.12821 + 7.15027i 0.171267 + 0.296643i
\(582\) 20.6824 5.54184i 0.857315 0.229717i
\(583\) −4.07125 2.35054i −0.168614 0.0973492i
\(584\) −9.75040 −0.403475
\(585\) −12.9319 36.1896i −0.534667 1.49626i
\(586\) −4.11255 −0.169888
\(587\) −31.6354 18.2647i −1.30573 0.753865i −0.324351 0.945937i \(-0.605146\pi\)
−0.981381 + 0.192072i \(0.938479\pi\)
\(588\) −15.5964 + 4.17904i −0.643185 + 0.172341i
\(589\) 0.242870 + 0.420663i 0.0100073 + 0.0173331i
\(590\) −11.5178 + 0.870813i −0.474180 + 0.0358508i
\(591\) 38.4573 + 10.3046i 1.58192 + 0.423875i
\(592\) −2.40974 4.17380i −0.0990398 0.171542i
\(593\) 16.6936i 0.685525i −0.939422 0.342762i \(-0.888637\pi\)
0.939422 0.342762i \(-0.111363\pi\)
\(594\) −7.25276 + 4.18738i −0.297584 + 0.171810i
\(595\) −6.76880 + 14.0794i −0.277494 + 0.577200i
\(596\) −3.99327 + 1.06999i −0.163571 + 0.0438287i
\(597\) 29.0384 + 29.0384i 1.18846 + 1.18846i
\(598\) −3.75868 13.7018i −0.153704 0.560310i
\(599\) 13.2549i 0.541579i 0.962639 + 0.270789i \(0.0872847\pi\)
−0.962639 + 0.270789i \(0.912715\pi\)
\(600\) 38.5621 16.8853i 1.57429 0.689341i
\(601\) −0.546605 + 0.946748i −0.0222965 + 0.0386187i −0.876958 0.480566i \(-0.840431\pi\)
0.854662 + 0.519185i \(0.173764\pi\)
\(602\) −2.02696 + 7.56474i −0.0826129 + 0.308316i
\(603\) 34.7891 1.41672
\(604\) 1.65905 6.19166i 0.0675058 0.251935i
\(605\) 3.41077 18.0919i 0.138667 0.735542i
\(606\) −19.6554 19.6554i −0.798446 0.798446i
\(607\) 40.4361 + 10.8348i 1.64125 + 0.439771i 0.957144 0.289612i \(-0.0935263\pi\)
0.684105 + 0.729384i \(0.260193\pi\)
\(608\) −3.42042 12.7652i −0.138716 0.517696i
\(609\) 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
\(613\) −13.9548 + 24.1705i −0.563630 + 0.976235i 0.433546 + 0.901131i \(0.357262\pi\)
−0.997176 + 0.0751039i \(0.976071\pi\)
\(614\) −21.4487 12.3834i −0.865601 0.499755i
\(615\) 42.4179 + 7.99680i 1.71046 + 0.322462i
\(616\) 3.42371 3.42371i 0.137945 0.137945i
\(617\) −3.79548 + 2.19132i −0.152800 + 0.0882193i −0.574451 0.818539i \(-0.694784\pi\)
0.421650 + 0.906758i \(0.361451\pi\)
\(618\) −8.80708 + 5.08477i −0.354273 + 0.204540i
\(619\) 8.67268 8.67268i 0.348584 0.348584i −0.510998 0.859582i \(-0.670724\pi\)
0.859582 + 0.510998i \(0.170724\pi\)
\(620\) −0.313136 + 0.213797i −0.0125759 + 0.00858628i
\(621\) −16.4313 9.48662i −0.659366 0.380685i
\(622\) 4.02525 6.97193i 0.161398 0.279549i
\(623\) −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
\(627\) −3.27952 12.2393i −0.130971 0.488791i
\(628\) −18.8345 5.04668i −0.751577 0.201385i
\(629\) 20.9238 + 20.9238i 0.834287 + 0.834287i
\(630\) −10.3210 1.94575i −0.411198 0.0775207i
\(631\) −6.55800 + 24.4748i −0.261070 + 0.974326i 0.703542 + 0.710653i \(0.251601\pi\)
−0.964612 + 0.263673i \(0.915066\pi\)
\(632\) −41.0398 −1.63248
\(633\) 6.15419 22.9677i 0.244607 0.912886i
\(634\) −11.7220 + 20.3031i −0.465540 + 0.806340i
\(635\) 2.10740 4.38349i 0.0836297 0.173954i
\(636\) 7.51646i 0.298047i
\(637\) 0.129906 + 21.8908i 0.00514706 + 0.867345i
\(638\) 0.351511 + 0.351511i 0.0139164 + 0.0139164i
\(639\) 60.1003 16.1038i 2.37753 0.637057i
\(640\) 4.63834 1.62647i 0.183346 0.0642920i
\(641\) −1.41675 + 0.817961i −0.0559582 + 0.0323075i −0.527718 0.849420i \(-0.676952\pi\)
0.471760 + 0.881727i \(0.343619\pi\)
\(642\) 1.26681i 0.0499968i
\(643\) 19.8344 + 34.3541i 0.782191 + 1.35479i 0.930663 + 0.365878i \(0.119231\pi\)
−0.148472 + 0.988917i \(0.547435\pi\)
\(644\) 3.42248 + 0.917051i 0.134865 + 0.0361369i
\(645\) −32.2820 + 37.5627i −1.27110 + 1.47903i
\(646\) −10.1339 17.5525i −0.398714 0.690593i
\(647\) −14.3588 + 3.84742i −0.564501 + 0.151258i −0.529773 0.848139i \(-0.677723\pi\)
−0.0347277 + 0.999397i \(0.511056\pi\)
\(648\) −1.51326 0.873682i −0.0594465 0.0343215i
\(649\) −8.40185 −0.329801
\(650\) −2.87993 18.2092i −0.112960 0.714222i
\(651\) 0.477178 0.0187021
\(652\) −17.6729 10.2034i −0.692123 0.399597i
\(653\) −12.4172 + 3.32718i −0.485922 + 0.130203i −0.493459 0.869769i \(-0.664268\pi\)
0.00753655 + 0.999972i \(0.497601\pi\)
\(654\) −12.9403 22.4132i −0.506005 0.876426i
\(655\) 0.0907243 0.105565i 0.00354489 0.00412476i
\(656\) −7.90103 2.11708i −0.308483 0.0826579i
\(657\) 7.69225 + 13.3234i 0.300103 + 0.519794i
\(658\) 7.73102i 0.301387i
\(659\) 20.8742 12.0517i 0.813144 0.469469i −0.0349025 0.999391i \(-0.511112\pi\)
0.848047 + 0.529922i \(0.177779\pi\)
\(660\) 9.33366 3.27293i 0.363312 0.127399i
\(661\) 37.8150 10.1325i 1.47083 0.394108i 0.567616 0.823293i \(-0.307866\pi\)
0.903217 + 0.429185i \(0.141199\pi\)
\(662\) 24.2637 + 24.2637i 0.943036 + 0.943036i
\(663\) −36.8011 62.8768i −1.42924 2.44193i
\(664\) 25.8862i 1.00458i
\(665\) 2.55196 5.30818i 0.0989606 0.205843i
\(666\) −9.94705 + 17.2288i −0.385440 + 0.667602i
\(667\) −0.291487 + 1.08784i −0.0112864 + 0.0421215i
\(668\) −1.63601 −0.0632991
\(669\) −5.09295 + 19.0071i −0.196905 + 0.734858i
\(670\) 16.3997 + 3.09174i 0.633575 + 0.119444i
\(671\) −2.45030 2.45030i −0.0945926 0.0945926i
\(672\) −12.5402 3.36013i −0.483747 0.129620i
\(673\) −2.64660 9.87723i −0.102019 0.380739i 0.895971 0.444112i \(-0.146481\pi\)
−0.997990 + 0.0633730i \(0.979814\pi\)
\(674\) 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 \(-0.0518333\pi\)
\(678\) −2.75669 + 4.77472i −0.105870 + 0.183372i
\(679\) 6.26961 + 3.61976i 0.240606 + 0.138914i
\(680\) 40.4503 27.6178i 1.55120 1.05910i
\(681\) 33.8465 33.8465i 1.29700 1.29700i
\(682\) 0.261750 0.151121i 0.0100229 0.00578673i
\(683\) 17.3384 10.0103i 0.663436 0.383035i −0.130149 0.991494i \(-0.541545\pi\)
0.793585 + 0.608459i \(0.208212\pi\)
\(684\) −8.79221 + 8.79221i −0.336178 + 0.336178i
\(685\) −9.70677 1.82996i −0.370876 0.0699191i
\(686\) 11.1546 + 6.44013i 0.425886 + 0.245885i
\(687\) −17.5513 + 30.3998i −0.669625 + 1.15983i
\(688\) 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 −0.888566 0.458749i \(-0.848298\pi\)
0.540147 0.841571i \(-0.318369\pi\)
\(692\) 3.74834 + 13.9890i 0.142491 + 0.531782i
\(693\) −7.37933 1.97729i −0.280318 0.0751109i
\(694\) 16.4960 + 16.4960i 0.626181 + 0.626181i
\(695\) 5.69543 30.2106i 0.216040 1.14595i
\(696\) 0.636870 2.37683i 0.0241405 0.0900935i
\(697\) 50.2221 1.90230
\(698\) −2.74877 + 10.2586i −0.104043 + 0.388292i
\(699\) −34.6479 + 60.0120i −1.31051 + 2.26986i
\(700\) 4.28188 + 1.67397i 0.161840 + 0.0632701i
\(701\) 37.1781i 1.40420i −0.712080 0.702098i \(-0.752247\pi\)
0.712080 0.702098i \(-0.247753\pi\)
\(702\) 12.7606 12.9129i 0.481617 0.487367i
\(703\) −7.88864 7.88864i −0.297526 0.297526i
\(704\) −11.7374 + 3.14502i −0.442368 + 0.118532i
\(705\) 21.1845 44.0647i 0.797854 1.65957i
\(706\) 3.80843 2.19880i 0.143332 0.0827529i
\(707\) 9.39830i 0.353459i
\(708\) 6.71678 + 11.6338i 0.252432 + 0.437225i
\(709\) −46.5506 12.4732i −1.74824 0.468440i −0.763994 0.645224i \(-0.776764\pi\)
−0.984250 + 0.176783i \(0.943431\pi\)
\(710\) 29.7626 2.25023i 1.11697 0.0844497i
\(711\) 32.3770 + 56.0786i 1.21423 + 2.10311i
\(712\) 1.51316 0.405449i 0.0567079 0.0151948i
\(713\) 0.593001 + 0.342369i 0.0222080 + 0.0128218i
\(714\) −19.9106 −0.745135
\(715\) −1.09031 13.3654i −0.0407752 0.499839i
\(716\) 2.63300 0.0983998
\(717\) −7.62814 4.40411i −0.284878 0.164474i
\(718\) 14.5662 3.90299i 0.543604 0.145658i
\(719\) −16.6992 28.9239i −0.622777 1.07868i −0.988966 0.148141i \(-0.952671\pi\)
0.366190 0.930540i \(-0.380662\pi\)
\(720\) 9.54594 + 8.20394i 0.355756 + 0.305743i
\(721\) −3.32122 0.889918i −0.123689 0.0331423i
\(722\) −5.89421 10.2091i −0.219360 0.379942i
\(723\) 50.2164i 1.86757i
\(724\) −8.55897 + 4.94153i −0.318092 + 0.183650i
\(725\) −0.532076 + 1.36101i −0.0197608 + 0.0505465i
\(726\) 22.6652 6.07313i 0.841186 0.225395i
\(727\) 23.6487 + 23.6487i 0.877083 + 0.877083i 0.993232 0.116149i \(-0.0370549\pi\)
−0.116149 + 0.993232i \(0.537055\pi\)
\(728\) −5.19389 + 9.12066i −0.192499 + 0.338034i
\(729\) 43.9226i 1.62676i
\(730\) 2.44209 + 6.96430i 0.0903860 + 0.257760i
\(731\) −28.8130 + 49.9055i −1.06569 + 1.84582i
\(732\) −1.43399 + 5.35173i −0.0530018 + 0.197806i
\(733\) −14.7049 −0.543138 −0.271569 0.962419i \(-0.587542\pi\)
−0.271569 + 0.962419i \(0.587542\pi\)
\(734\) 3.02344 11.2836i 0.111597 0.416486i
\(735\) 21.3343 + 31.2472i 0.786929 + 1.15257i
\(736\) −13.1731 13.1731i −0.485568 0.485568i
\(737\) 11.7255 + 3.14184i 0.431914 + 0.115731i
\(738\) 8.73896 + 32.6142i 0.321686 + 1.20055i
\(739\) −5.32432 19.8706i −0.195858 0.730953i −0.992043 0.125900i \(-0.959818\pi\)
0.796185 0.605054i \(-0.206848\pi\)
\(740\) 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
\(743\) 22.3204 38.6601i 0.818856 1.41830i −0.0876692 0.996150i \(-0.527942\pi\)
0.906526 0.422151i \(-0.138725\pi\)
\(744\) −1.29565 0.748042i −0.0475007 0.0274246i
\(745\) 5.46240 + 8.00048i 0.200127 + 0.293115i
\(746\) −20.3603 + 20.3603i −0.745443 + 0.745443i
\(747\) −35.3720 + 20.4220i −1.29419 + 0.747202i
\(748\) 9.96614 5.75395i 0.364398 0.210385i
\(749\) −0.302864 + 0.302864i −0.0110664 + 0.0110664i
\(750\) −21.7188 23.3142i −0.793058 0.851313i
\(751\) 15.2247 + 8.78996i 0.555555 + 0.320750i 0.751360 0.659893i \(-0.229398\pi\)
−0.195804 + 0.980643i \(0.562732\pi\)
\(752\) −4.63255 + 8.02381i −0.168932 + 0.292598i
\(753\) 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
\(757\) −9.10848 33.9933i −0.331053 1.23551i −0.908085 0.418786i \(-0.862456\pi\)
0.577032 0.816722i \(-0.304211\pi\)
\(758\) −16.7250 4.48144i −0.607478 0.162773i
\(759\) −12.6305 12.6305i −0.458457 0.458457i
\(760\) −15.2505 + 10.4124i −0.553192 + 0.377697i
\(761\) −3.03122 + 11.3127i −0.109882 + 0.410084i −0.998853 0.0478787i \(-0.984754\pi\)
0.888972 + 0.457962i \(0.151421\pi\)
\(762\) 6.19897 0.224565
\(763\) 2.26476 8.45219i 0.0819897 0.305990i
\(764\) −8.86485 + 15.3544i −0.320719 + 0.555502i
\(765\) −69.6501 33.4849i −2.51820 1.21065i
\(766\) 6.75331i 0.244007i
\(767\) 17.5641 4.81817i 0.634202 0.173974i
\(768\) 33.2233 + 33.2233i 1.19884 + 1.19884i
\(769\) 18.3227 4.90954i 0.660732 0.177043i 0.0871555 0.996195i \(-0.472222\pi\)
0.573576 + 0.819152i \(0.305556\pi\)
\(770\) −3.30292 1.58791i −0.119029 0.0572242i
\(771\) −55.9401 + 32.2971i −2.01463 + 1.16315i