Properties

Label 65.2.t.a.37.2
Level $65$
Weight $2$
Character 65.37
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.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 37.2
Root \(1.02262i\) of defining polynomial
Character \(\chi\) \(=\) 65.37
Dual form 65.2.t.a.58.2

$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.885613 + 0.511309i −0.626223 + 0.361550i −0.779288 0.626666i \(-0.784419\pi\)
0.153065 + 0.988216i \(0.451086\pi\)
\(3\) 2.69193 + 0.721300i 1.55418 + 0.416443i 0.930817 0.365486i \(-0.119097\pi\)
0.623368 + 0.781929i \(0.285764\pi\)
\(4\) −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 −0.942595 0.333938i \(-0.891622\pi\)
0.760497 + 0.649342i \(0.224956\pi\)
\(8\) 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 0.492756 0.870168i \(-0.335990\pi\)
−0.00834492 + 0.999965i \(0.502656\pi\)
\(12\) −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 −0.687697 0.725998i \(-0.741378\pi\)
0.232564 0.972581i \(-0.425289\pi\)
\(18\) −4.87456 −1.14894
\(19\) 0.707496 + 2.64041i 0.162311 + 0.605752i 0.998368 + 0.0571095i \(0.0181884\pi\)
−0.836057 + 0.548642i \(0.815145\pi\)
\(20\) 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 0.780566 + 0.625073i \(0.214931\pi\)
−0.988527 + 0.151046i \(0.951736\pi\)
\(24\) 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 −0.523316 0.852139i \(-0.675305\pi\)
0.476315 + 0.879274i \(0.341972\pi\)
\(30\) 5.26292 + 3.59331i 0.960874 + 0.656046i
\(31\) −0.125649 0.125649i −0.0225673 0.0225673i 0.695733 0.718300i \(-0.255080\pi\)
−0.718300 + 0.695733i \(0.755080\pi\)
\(32\) 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 0.983576 0.180496i \(-0.0577703\pi\)
−0.648102 + 0.761553i \(0.724437\pi\)
\(38\) −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 \(0.901422\pi\)
\(42\) 0.710745 2.65254i 0.109670 0.409295i
\(43\) 7.67707 2.05706i 1.17074 0.313699i 0.379494 0.925194i \(-0.376098\pi\)
0.791248 + 0.611495i \(0.209432\pi\)
\(44\) −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 −0.830918 0.556395i \(-0.812184\pi\)
0.556395 + 0.830918i \(0.312184\pi\)
\(54\) −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 −0.562039 0.827111i \(-0.689983\pi\)
−0.0731843 + 0.997318i \(0.523316\pi\)
\(60\) 5.92967 + 0.448318i 0.765517 + 0.0578776i
\(61\) −1.04169 + 1.80425i −0.133374 + 0.231011i −0.924975 0.380027i \(-0.875915\pi\)
0.791601 + 0.611038i \(0.209248\pi\)
\(62\) 0.175522 + 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 −0.0614765 0.998109i \(-0.519581\pi\)
0.833649 + 0.552294i \(0.186248\pi\)
\(68\) 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 0.584457 0.811425i \(-0.301308\pi\)
0.911867 + 0.410486i \(0.134641\pi\)
\(72\) 7.20034 12.4713i 0.848568 1.46976i
\(73\) 3.22747i 0.377746i −0.982001 0.188873i \(-0.939517\pi\)
0.982001 0.188873i \(-0.0604835\pi\)
\(74\) −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 \(-0.723139\pi\)
0.644992 0.764190i \(-0.276861\pi\)
\(80\) 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 −0.972674 0.232175i \(-0.925416\pi\)
0.958448 + 0.285267i \(0.0920823\pi\)
\(90\) 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 0.131876 0.991266i \(-0.457900\pi\)
−0.792524 + 0.609841i \(0.791233\pi\)
\(98\) −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 −0.0169388 0.999857i \(-0.505392\pi\)
0.857432 + 0.514598i \(0.172059\pi\)
\(102\) 10.3316 + 17.8949i 1.02298 + 1.77186i
\(103\) 2.52321 + 2.52321i 0.248619 + 0.248619i 0.820404 0.571784i \(-0.193749\pi\)
−0.571784 + 0.820404i \(0.693749\pi\)
\(104\) −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 −0.971264 0.238005i \(-0.923506\pi\)
0.960142 + 0.279513i \(0.0901731\pi\)
\(108\) −4.53837 + 1.21605i −0.436705 + 0.117015i
\(109\) 6.42134 6.42134i 0.615053 0.615053i −0.329206 0.944258i \(-0.606781\pi\)
0.944258 + 0.329206i \(0.106781\pi\)
\(110\) 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 0.985470 0.169851i \(-0.0543287\pi\)
−0.938367 + 0.345639i \(0.887662\pi\)
\(114\) −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 0.164393 0.986395i \(-0.447433\pi\)
−0.350829 + 0.936440i \(0.614100\pi\)
\(128\) −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 −0.756114 0.654440i \(-0.772904\pi\)
0.944819 + 0.327594i \(0.106238\pi\)
\(138\) 10.9820i 0.934850i
\(139\) −11.9066 6.87430i −1.00991 0.583070i −0.0987430 0.995113i \(-0.531482\pi\)
−0.911165 + 0.412043i \(0.864816\pi\)
\(140\) −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 0.996525 0.0832987i \(-0.0265456\pi\)
−0.904665 + 0.426124i \(0.859879\pi\)
\(150\) −1.57669 14.1621i −0.128736 1.15633i
\(151\) 4.74990 4.74990i 0.386542 0.386542i −0.486910 0.873452i \(-0.661876\pi\)
0.873452 + 0.486910i \(0.161876\pi\)
\(152\) 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 0.985920 + 0.167218i \(0.0534784\pi\)
0.167218 + 0.985920i \(0.446522\pi\)
\(158\) 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 0.998516 0.0544633i \(-0.0173448\pi\)
0.452091 + 0.891972i \(0.350678\pi\)
\(164\) −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 0.897285 0.441452i \(-0.145536\pi\)
−0.830951 + 0.556345i \(0.812203\pi\)
\(168\) 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 −0.768677 0.639638i \(-0.779084\pi\)
−0.345875 + 0.938281i \(0.612418\pi\)
\(174\) 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 0.809850 0.586637i \(-0.199548\pi\)
−0.912967 + 0.408033i \(0.866215\pi\)
\(180\) 9.59815 + 3.36568i 0.715404 + 0.250863i
\(181\) 10.3568i 0.769818i 0.922954 + 0.384909i \(0.125767\pi\)
−0.922954 + 0.384909i \(0.874233\pi\)
\(182\) −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 0.305093 + 0.952322i \(0.401312\pi\)
−0.977282 + 0.211943i \(0.932021\pi\)
\(192\) −19.6663 5.26958i −1.41930 0.380299i
\(193\) −10.8872 + 6.28576i −0.783681 + 0.452459i −0.837733 0.546079i \(-0.816120\pi\)
0.0540520 + 0.998538i \(0.482786\pi\)
\(194\) 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 0.0103349 0.999947i \(-0.496710\pi\)
0.871147 + 0.491023i \(0.163377\pi\)
\(198\) −7.83150 2.09845i −0.556561 0.149130i
\(199\) 7.36781 12.7614i 0.522291 0.904634i −0.477373 0.878701i \(-0.658411\pi\)
0.999664 0.0259331i \(-0.00825568\pi\)
\(200\) 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 0.974678 0.223611i \(-0.0717845\pi\)
−0.680992 + 0.732291i \(0.738451\pi\)
\(212\) −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 0.723269 0.690566i \(-0.242638\pi\)
−0.959682 + 0.281087i \(0.909305\pi\)
\(224\) −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 0.904451 0.426578i \(-0.140281\pi\)
0.0827985 + 0.996566i \(0.473614\pi\)
\(228\) −6.29566 3.63480i −0.416940 0.240721i
\(229\) −8.90647 8.90647i −0.588556 0.588556i 0.348684 0.937240i \(-0.386629\pi\)
−0.937240 + 0.348684i \(0.886629\pi\)
\(230\) −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 −0.986182 0.165666i \(-0.947023\pi\)
−0.165666 0.986182i \(-0.552977\pi\)
\(234\) 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 −0.775684 0.631122i \(-0.782595\pi\)
0.631122 + 0.775684i \(0.282595\pi\)
\(240\) 4.14947 6.07750i 0.267847 0.392301i
\(241\) −4.66361 17.4048i −0.300409 1.12114i −0.936825 0.349797i \(-0.886250\pi\)
0.636416 0.771346i \(-0.280416\pi\)
\(242\) 8.41971 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 0.830658 0.556782i \(-0.187964\pi\)
−0.0668586 + 0.997762i \(0.521298\pi\)
\(252\) 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 −0.519433 0.854511i \(-0.673857\pi\)
−0.877098 + 0.480312i \(0.840524\pi\)
\(258\) −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 0.219864 0.975530i \(-0.429438\pi\)
−0.297357 + 0.954766i \(0.596105\pi\)
\(264\) 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 0.275574 0.961280i \(-0.411132\pi\)
−0.694706 + 0.719294i \(0.744466\pi\)
\(270\) 4.87828 + 10.1470i 0.296883 + 0.617529i
\(271\) −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
\(273\) 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 0.999569 + 0.0293404i \(0.00934068\pi\)
−0.850982 + 0.525194i \(0.823993\pi\)
\(278\) 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 −0.520651 0.853769i \(-0.674311\pi\)
0.853769 + 0.520651i \(0.174311\pi\)
\(282\) 21.5981 5.78719i 1.28615 0.344622i
\(283\) −5.46218 + 20.3851i −0.324693 + 1.21177i 0.589927 + 0.807457i \(0.299157\pi\)
−0.914620 + 0.404314i \(0.867510\pi\)
\(284\) −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 0.598272 0.801293i \(-0.295854\pi\)
−0.394805 + 0.918765i \(0.629188\pi\)
\(294\) −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 \(-0.928349\pi\)
0.974772 0.223202i \(-0.0716511\pi\)
\(312\) −21.5923 + 21.3376i −1.22242 + 1.20800i
\(313\) 3.39121 3.39121i 0.191683 0.191683i −0.604740 0.796423i \(-0.706723\pi\)
0.796423 + 0.604740i \(0.206723\pi\)
\(314\) −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 \(0.222648\pi\)
−0.765184 + 0.643812i \(0.777352\pi\)
\(318\) 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 −0.990858 0.134910i \(-0.956925\pi\)
−0.790653 + 0.612264i \(0.790259\pi\)
\(332\) 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 −0.981953 0.189126i \(-0.939434\pi\)
0.189126 + 0.981953i \(0.439434\pi\)
\(338\) −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 −0.796089 0.605179i \(-0.793101\pi\)
−0.386844 + 0.922145i \(0.626435\pi\)
\(348\) 0.201165 0.750759i 0.0107836 0.0402449i
\(349\) −2.68798 + 10.0317i −0.143884 + 0.536983i 0.855918 + 0.517111i \(0.172992\pi\)
−0.999803 + 0.0198718i \(0.993674\pi\)
\(350\) 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 0.803115 0.595825i \(-0.203175\pi\)
−0.917556 + 0.397605i \(0.869841\pi\)
\(354\) 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 0.376204 0.926537i \(-0.377229\pi\)
−0.926537 + 0.376204i \(0.877229\pi\)
\(360\) −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 −0.844830 0.535034i \(-0.820299\pi\)
0.999162 0.0409383i \(-0.0130347\pi\)
\(368\) −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 0.849903 + 0.526939i \(0.176661\pi\)
−0.472568 + 0.881294i \(0.656673\pi\)
\(374\) 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 0.653116 0.757258i \(-0.273461\pi\)
0.186987 + 0.982362i \(0.440128\pi\)
\(380\) 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 −0.937971 0.346714i \(-0.887298\pi\)
0.769248 + 0.638950i \(0.220631\pi\)
\(384\) −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 −0.929772 0.368136i \(-0.879996\pi\)
0.783701 + 0.621138i \(0.213329\pi\)
\(398\) 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 0.265181 0.964199i \(-0.414568\pi\)
−0.252446 + 0.967611i \(0.581235\pi\)
\(402\) −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 −0.619042 0.785358i \(-0.712479\pi\)
0.143427 0.989661i \(-0.454188\pi\)
\(410\) −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 0.437428 0.899253i \(-0.355889\pi\)
0.997490 + 0.0708027i \(0.0225561\pi\)
\(420\) −3.23095 + 4.73219i −0.157654 + 0.230907i
\(421\) −21.5599 21.5599i −1.05076 1.05076i −0.998641 0.0521230i \(-0.983401\pi\)
−0.0521230 0.998641i \(-0.516599\pi\)
\(422\) −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 −0.931320 0.364201i \(-0.881342\pi\)
0.988648 + 0.150253i \(0.0480089\pi\)
\(432\) −1.50488 + 5.61627i −0.0724033 + 0.270213i
\(433\) −3.86627 + 1.03596i −0.185801 + 0.0497853i −0.350520 0.936555i \(-0.613995\pi\)
0.164719 + 0.986341i \(0.447328\pi\)
\(434\) −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 0.998773 + 0.0495192i \(0.0157689\pi\)
−0.456502 + 0.889723i \(0.650898\pi\)
\(440\) −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 −0.661824 0.749660i \(-0.730217\pi\)
0.749660 + 0.661824i \(0.230217\pi\)
\(444\) −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 0.564845 0.825197i \(-0.308936\pi\)
0.901769 + 0.432219i \(0.142269\pi\)
\(450\) 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 −0.948690 0.316208i \(-0.897590\pi\)
−0.200501 + 0.979693i \(0.564257\pi\)
\(458\) 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 −0.508244 0.861213i \(-0.669705\pi\)
−0.00954570 + 0.999954i \(0.503039\pi\)
\(462\) 2.28378 3.95562i 0.106251 0.184032i
\(463\) 29.9456i 1.39169i −0.718192 0.695845i \(-0.755030\pi\)
0.718192 0.695845i \(-0.244970\pi\)
\(464\) −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 −0.227274 0.973831i \(-0.572981\pi\)
0.973831 + 0.227274i \(0.0729812\pi\)
\(468\) 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 0.216393 + 0.976306i \(0.430571\pi\)
−0.675555 + 0.737309i \(0.736096\pi\)
\(480\) 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 −0.190448 0.981697i \(-0.560994\pi\)
−0.945399 + 0.325916i \(0.894327\pi\)
\(488\) 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 −0.351059 0.936353i \(-0.614178\pi\)
0.635376 + 0.772203i \(0.280845\pi\)
\(492\) −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 −0.605754 0.795652i \(-0.707128\pi\)
0.795652 + 0.605754i \(0.207128\pi\)
\(500\) 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 0.983705 0.179790i \(-0.0575419\pi\)
−0.941809 + 0.336149i \(0.890875\pi\)
\(504\) 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 −0.277079 0.960847i \(-0.589366\pi\)
−0.720381 + 0.693578i \(0.756033\pi\)
\(510\) 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 −0.119214 0.992869i \(-0.538037\pi\)
−0.599677 + 0.800243i \(0.704704\pi\)
\(524\) 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 −0.902483 0.430727i \(-0.858257\pi\)
0.430727 + 0.902483i \(0.358257\pi\)
\(542\) 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 0.118756 0.992923i \(-0.462109\pi\)
−0.992923 + 0.118756i \(0.962109\pi\)
\(548\) 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 0.973262 0.229697i \(-0.0737735\pi\)
−0.685555 + 0.728021i \(0.740440\pi\)
\(558\) 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 −0.158736 0.987321i \(-0.550742\pi\)
0.356191 + 0.934413i \(0.384075\pi\)
\(564\) 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 0.868621 0.495477i \(-0.165007\pi\)
−0.863406 + 0.504509i \(0.831673\pi\)
\(570\) −5.76432 + 16.4385i −0.241441 + 0.688534i
\(571\) 7.72842i 0.323424i −0.986838 0.161712i \(-0.948298\pi\)
0.986838 0.161712i \(-0.0517016\pi\)
\(572\) 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 \(-0.918724\pi\)
0.967578 0.252570i \(-0.0812760\pi\)
\(578\) 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 −0.981381 0.192072i \(-0.938479\pi\)
−0.324351 + 0.945937i \(0.605146\pi\)
\(588\) −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 \(0.111363\pi\)
−0.939422 + 0.342762i \(0.888637\pi\)
\(594\) −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 \(-0.912715\pi\)
0.962639 0.270789i \(-0.0872847\pi\)
\(600\) 38.5621 + 16.8853i 1.57429 + 0.689341i
\(601\) −0.546605 0.946748i −0.0222965 0.0386187i 0.854662 0.519185i \(-0.173764\pi\)
−0.876958 + 0.480566i \(0.840431\pi\)
\(602\) −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 0.684105 0.729384i \(-0.260193\pi\)
0.957144 + 0.289612i \(0.0935263\pi\)
\(608\) −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 −0.997176 0.0751039i \(-0.976071\pi\)
0.433546 0.901131i \(-0.357262\pi\)
\(614\) −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 0.421650 0.906758i \(-0.361451\pi\)
−0.574451 + 0.818539i \(0.694784\pi\)
\(618\) −8.80708 5.08477i −0.354273 0.204540i
\(619\) 8.67268 + 8.67268i 0.348584 + 0.348584i 0.859582 0.510998i \(-0.170724\pi\)
−0.510998 + 0.859582i \(0.670724\pi\)
\(620\) −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 −0.964612 0.263673i \(-0.915066\pi\)
0.703542 0.710653i \(-0.251601\pi\)
\(632\) −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 0.471760 0.881727i \(-0.343619\pi\)
−0.527718 + 0.849420i \(0.676952\pi\)
\(642\) 1.26681i 0.0499968i
\(643\) 19.8344 34.3541i 0.782191 1.35479i −0.148472 0.988917i \(-0.547435\pi\)
0.930663 0.365878i \(-0.119231\pi\)
\(644\) 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 −0.0347277 0.999397i \(-0.511056\pi\)
−0.529773 + 0.848139i \(0.677723\pi\)
\(648\) −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 0.00753655 0.999972i \(-0.497601\pi\)
−0.493459 + 0.869769i \(0.664268\pi\)
\(654\) −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 0.848047 0.529922i \(-0.177779\pi\)
−0.0349025 + 0.999391i \(0.511112\pi\)
\(660\) 9.33366 + 3.27293i 0.363312 + 0.127399i
\(661\) 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
\(663\) −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 −0.997990 0.0633730i \(-0.979814\pi\)
0.895971 + 0.444112i \(0.146481\pi\)
\(674\) 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 0.986771 + 0.162121i \(0.0518333\pi\)
0.162121 + 0.986771i \(0.448167\pi\)
\(678\) −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 0.793585 0.608459i \(-0.208212\pi\)
−0.130149 + 0.991494i \(0.541545\pi\)
\(684\) −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 0.540147 + 0.841571i \(0.318369\pi\)
−0.888566 + 0.458749i \(0.848298\pi\)
\(692\) 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 \(0.247753\pi\)
−0.712080 + 0.702098i \(0.752247\pi\)
\(702\) 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 −0.984250 0.176783i \(-0.943431\pi\)
−0.763994 + 0.645224i \(0.776764\pi\)
\(710\) 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 0.366190 + 0.930540i \(0.380662\pi\)
−0.988966 + 0.148141i \(0.952671\pi\)
\(720\) 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 −0.116149 0.993232i \(-0.537055\pi\)
0.993232 + 0.116149i \(0.0370549\pi\)
\(728\) −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 0.796185 + 0.605054i \(0.206848\pi\)
−0.992043 + 0.125900i \(0.959818\pi\)
\(740\) 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 0.906526 + 0.422151i \(0.138725\pi\)
−0.0876692 + 0.996150i \(0.527942\pi\)
\(744\) −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 −0.195804 0.980643i \(-0.562732\pi\)
0.751360 + 0.659893i \(0.229398\pi\)
\(752\) −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 0.577032 + 0.816722i \(0.304211\pi\)
−0.908085 + 0.418786i \(0.862456\pi\)
\(758\) −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 0.888972 0.457962i \(-0.151421\pi\)
−0.998853 + 0.0478787i \(0.984754\pi\)
\(762\) 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 0.573576 0.819152i \(-0.305556\pi\)
0.0871555 + 0.996195i \(0.472222\pi\)
\(770\) −3.30292 + 1.58791i −0.119029 + 0.0572242i
\(771\) −55.9401 32.2971i −2.01463 1.16315i
\(772\)