Properties

Label 266.2.u.d.225.4
Level $266$
Weight $2$
Character 266.225
Analytic conductor $2.124$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 266 = 2 \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 266.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.12402069377\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 225.4
Character \(\chi\) \(=\) 266.225
Dual form 266.2.u.d.253.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 - 0.642788i) q^{2} +(2.80180 - 1.01977i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.749009 + 4.24784i) q^{5} +(-2.80180 - 1.01977i) q^{6} +(-0.500000 - 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(4.51201 - 3.78603i) q^{9} +O(q^{10})\) \(q+(-0.766044 - 0.642788i) q^{2} +(2.80180 - 1.01977i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.749009 + 4.24784i) q^{5} +(-2.80180 - 1.01977i) q^{6} +(-0.500000 - 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(4.51201 - 3.78603i) q^{9} +(3.30423 - 2.77258i) q^{10} +(-0.181133 + 0.313732i) q^{11} +(1.49081 + 2.58215i) q^{12} +(4.92749 + 1.79346i) q^{13} +(-0.173648 + 0.984808i) q^{14} +(2.23326 + 12.6654i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-3.54678 - 2.97611i) q^{17} -5.89001 q^{18} +(3.76824 - 2.19097i) q^{19} -4.31337 q^{20} +(-2.28405 - 1.91654i) q^{21} +(0.340419 - 0.123902i) q^{22} +(0.309174 + 1.75342i) q^{23} +(0.517752 - 2.93632i) q^{24} +(-12.7847 - 4.65324i) q^{25} +(-2.62186 - 4.54120i) q^{26} +(4.30845 - 7.46246i) q^{27} +(0.766044 - 0.642788i) q^{28} +(-1.59719 + 1.34020i) q^{29} +(6.43040 - 11.1378i) q^{30} +(-1.01045 - 1.75015i) q^{31} +(0.939693 + 0.342020i) q^{32} +(-0.187564 + 1.06373i) q^{33} +(0.803991 + 4.55966i) q^{34} +(4.05324 - 1.47526i) q^{35} +(4.51201 + 3.78603i) q^{36} -7.44807 q^{37} +(-4.29497 - 0.743804i) q^{38} +15.6348 q^{39} +(3.30423 + 2.77258i) q^{40} +(-2.55002 + 0.928130i) q^{41} +(0.517752 + 2.93632i) q^{42} +(0.689615 - 3.91100i) q^{43} +(-0.340419 - 0.123902i) q^{44} +(12.7029 + 22.0021i) q^{45} +(0.890232 - 1.54193i) q^{46} +(-2.50764 + 2.10416i) q^{47} +(-2.28405 + 1.91654i) q^{48} +(-0.500000 + 0.866025i) q^{49} +(6.80259 + 11.7824i) q^{50} +(-12.9723 - 4.72154i) q^{51} +(-0.910564 + 5.16406i) q^{52} +(-2.04006 - 11.5698i) q^{53} +(-8.09724 + 2.94715i) q^{54} +(-1.19701 - 1.00441i) q^{55} -1.00000 q^{56} +(8.32358 - 9.98140i) q^{57} +2.08498 q^{58} +(-0.595521 - 0.499701i) q^{59} +(-12.0852 + 4.39865i) q^{60} +(-1.86536 - 10.5790i) q^{61} +(-0.350926 + 1.99020i) q^{62} +(-5.53480 - 2.01450i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-11.3091 + 19.5879i) q^{65} +(0.827433 - 0.694299i) q^{66} +(2.00114 - 1.67916i) q^{67} +(2.31500 - 4.00970i) q^{68} +(2.65433 + 4.59743i) q^{69} +(-4.05324 - 1.47526i) q^{70} +(-2.52537 + 14.3221i) q^{71} +(-1.02279 - 5.80053i) q^{72} +(-2.46180 + 0.896023i) q^{73} +(5.70555 + 4.78753i) q^{74} -40.5654 q^{75} +(2.81203 + 3.33054i) q^{76} +0.362266 q^{77} +(-11.9769 - 10.0498i) q^{78} +(0.521100 - 0.189665i) q^{79} +(-0.749009 - 4.24784i) q^{80} +(1.39304 - 7.90035i) q^{81} +(2.55002 + 0.928130i) q^{82} +(2.53155 + 4.38478i) q^{83} +(1.49081 - 2.58215i) q^{84} +(15.2986 - 12.8370i) q^{85} +(-3.04222 + 2.55272i) q^{86} +(-3.10830 + 5.38374i) q^{87} +(0.181133 + 0.313732i) q^{88} +(6.60293 + 2.40327i) q^{89} +(4.41167 - 25.0199i) q^{90} +(-0.910564 - 5.16406i) q^{91} +(-1.67309 + 0.608955i) q^{92} +(-4.61583 - 3.87315i) q^{93} +3.27349 q^{94} +(6.48443 + 17.6480i) q^{95} +2.98161 q^{96} +(-1.06371 - 0.892561i) q^{97} +(0.939693 - 0.342020i) q^{98} +(0.370522 + 2.10134i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9} + 9 q^{10} - 3 q^{11} + 3 q^{12} + 6 q^{13} - 24 q^{15} - 15 q^{17} - 42 q^{18} + 30 q^{19} + 6 q^{20} - 9 q^{22} - 24 q^{23} - 6 q^{25} + 6 q^{26} + 21 q^{27} + 27 q^{29} + 6 q^{30} + 3 q^{31} + 15 q^{33} - 30 q^{34} + 9 q^{35} + 6 q^{36} - 54 q^{37} + 3 q^{38} + 54 q^{39} + 9 q^{40} - 15 q^{41} + 6 q^{43} + 9 q^{44} - 30 q^{45} + 12 q^{46} + 3 q^{47} - 12 q^{49} + 33 q^{50} - 39 q^{51} - 3 q^{52} - 33 q^{53} - 18 q^{54} - 15 q^{55} - 24 q^{56} + 87 q^{57} + 12 q^{58} + 66 q^{59} + 3 q^{60} - 72 q^{61} - 39 q^{62} - 12 q^{63} - 12 q^{64} - 9 q^{65} + 30 q^{66} - 30 q^{67} - 3 q^{68} + 18 q^{69} - 9 q^{70} + 45 q^{71} - 6 q^{72} - 27 q^{73} + 6 q^{74} - 66 q^{75} + 9 q^{76} + 6 q^{77} - 18 q^{78} + 12 q^{79} + 24 q^{81} + 15 q^{82} - 9 q^{83} + 3 q^{84} + 78 q^{85} + 30 q^{86} + 45 q^{87} + 3 q^{88} - 48 q^{89} - 3 q^{90} - 3 q^{91} - 6 q^{92} - 3 q^{93} - 42 q^{94} - 3 q^{95} + 6 q^{96} - 21 q^{97} - 150 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/266\mathbb{Z}\right)^\times\).

\(n\) \(115\) \(211\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 0.642788i −0.541675 0.454519i
\(3\) 2.80180 1.01977i 1.61762 0.588765i 0.634693 0.772764i \(-0.281126\pi\)
0.982926 + 0.183999i \(0.0589043\pi\)
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −0.749009 + 4.24784i −0.334967 + 1.89969i 0.0925898 + 0.995704i \(0.470485\pi\)
−0.427557 + 0.903988i \(0.640626\pi\)
\(6\) −2.80180 1.01977i −1.14383 0.416320i
\(7\) −0.500000 0.866025i −0.188982 0.327327i
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 4.51201 3.78603i 1.50400 1.26201i
\(10\) 3.30423 2.77258i 1.04489 0.876767i
\(11\) −0.181133 + 0.313732i −0.0546137 + 0.0945937i −0.892040 0.451957i \(-0.850726\pi\)
0.837426 + 0.546551i \(0.184059\pi\)
\(12\) 1.49081 + 2.58215i 0.430359 + 0.745403i
\(13\) 4.92749 + 1.79346i 1.36664 + 0.497416i 0.918101 0.396347i \(-0.129722\pi\)
0.448539 + 0.893763i \(0.351944\pi\)
\(14\) −0.173648 + 0.984808i −0.0464094 + 0.263201i
\(15\) 2.23326 + 12.6654i 0.576624 + 3.27020i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −3.54678 2.97611i −0.860221 0.721812i 0.101794 0.994805i \(-0.467542\pi\)
−0.962016 + 0.272994i \(0.911986\pi\)
\(18\) −5.89001 −1.38829
\(19\) 3.76824 2.19097i 0.864495 0.502642i
\(20\) −4.31337 −0.964499
\(21\) −2.28405 1.91654i −0.498420 0.418224i
\(22\) 0.340419 0.123902i 0.0725775 0.0264161i
\(23\) 0.309174 + 1.75342i 0.0644673 + 0.365612i 0.999926 + 0.0121759i \(0.00387581\pi\)
−0.935459 + 0.353436i \(0.885013\pi\)
\(24\) 0.517752 2.93632i 0.105686 0.599373i
\(25\) −12.7847 4.65324i −2.55694 0.930649i
\(26\) −2.62186 4.54120i −0.514190 0.890603i
\(27\) 4.30845 7.46246i 0.829162 1.43615i
\(28\) 0.766044 0.642788i 0.144769 0.121475i
\(29\) −1.59719 + 1.34020i −0.296591 + 0.248869i −0.778923 0.627119i \(-0.784234\pi\)
0.482333 + 0.875988i \(0.339790\pi\)
\(30\) 6.43040 11.1378i 1.17403 2.03347i
\(31\) −1.01045 1.75015i −0.181482 0.314337i 0.760903 0.648865i \(-0.224756\pi\)
−0.942386 + 0.334529i \(0.891423\pi\)
\(32\) 0.939693 + 0.342020i 0.166116 + 0.0604612i
\(33\) −0.187564 + 1.06373i −0.0326507 + 0.185171i
\(34\) 0.803991 + 4.55966i 0.137883 + 0.781975i
\(35\) 4.05324 1.47526i 0.685123 0.249364i
\(36\) 4.51201 + 3.78603i 0.752002 + 0.631005i
\(37\) −7.44807 −1.22446 −0.612228 0.790682i \(-0.709726\pi\)
−0.612228 + 0.790682i \(0.709726\pi\)
\(38\) −4.29497 0.743804i −0.696736 0.120661i
\(39\) 15.6348 2.50357
\(40\) 3.30423 + 2.77258i 0.522445 + 0.438384i
\(41\) −2.55002 + 0.928130i −0.398246 + 0.144950i −0.533376 0.845878i \(-0.679077\pi\)
0.135130 + 0.990828i \(0.456855\pi\)
\(42\) 0.517752 + 2.93632i 0.0798908 + 0.453083i
\(43\) 0.689615 3.91100i 0.105165 0.596422i −0.885989 0.463706i \(-0.846519\pi\)
0.991154 0.132715i \(-0.0423696\pi\)
\(44\) −0.340419 0.123902i −0.0513201 0.0186790i
\(45\) 12.7029 + 22.0021i 1.89364 + 3.27988i
\(46\) 0.890232 1.54193i 0.131258 0.227345i
\(47\) −2.50764 + 2.10416i −0.365776 + 0.306923i −0.807088 0.590431i \(-0.798958\pi\)
0.441312 + 0.897354i \(0.354513\pi\)
\(48\) −2.28405 + 1.91654i −0.329674 + 0.276629i
\(49\) −0.500000 + 0.866025i −0.0714286 + 0.123718i
\(50\) 6.80259 + 11.7824i 0.962031 + 1.66629i
\(51\) −12.9723 4.72154i −1.81649 0.661148i
\(52\) −0.910564 + 5.16406i −0.126272 + 0.716127i
\(53\) −2.04006 11.5698i −0.280224 1.58923i −0.721861 0.692038i \(-0.756713\pi\)
0.441637 0.897194i \(-0.354398\pi\)
\(54\) −8.09724 + 2.94715i −1.10189 + 0.401057i
\(55\) −1.19701 1.00441i −0.161405 0.135435i
\(56\) −1.00000 −0.133631
\(57\) 8.32358 9.98140i 1.10249 1.32207i
\(58\) 2.08498 0.273772
\(59\) −0.595521 0.499701i −0.0775302 0.0650555i 0.603199 0.797591i \(-0.293892\pi\)
−0.680729 + 0.732535i \(0.738337\pi\)
\(60\) −12.0852 + 4.39865i −1.56019 + 0.567864i
\(61\) −1.86536 10.5790i −0.238835 1.35450i −0.834385 0.551182i \(-0.814177\pi\)
0.595550 0.803318i \(-0.296934\pi\)
\(62\) −0.350926 + 1.99020i −0.0445676 + 0.252756i
\(63\) −5.53480 2.01450i −0.697320 0.253804i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −11.3091 + 19.5879i −1.40272 + 2.42958i
\(66\) 0.827433 0.694299i 0.101850 0.0854623i
\(67\) 2.00114 1.67916i 0.244478 0.205141i −0.512312 0.858799i \(-0.671211\pi\)
0.756790 + 0.653658i \(0.226766\pi\)
\(68\) 2.31500 4.00970i 0.280735 0.486247i
\(69\) 2.65433 + 4.59743i 0.319544 + 0.553466i
\(70\) −4.05324 1.47526i −0.484455 0.176327i
\(71\) −2.52537 + 14.3221i −0.299706 + 1.69972i 0.347729 + 0.937595i \(0.386953\pi\)
−0.647435 + 0.762121i \(0.724158\pi\)
\(72\) −1.02279 5.80053i −0.120537 0.683599i
\(73\) −2.46180 + 0.896023i −0.288132 + 0.104872i −0.482043 0.876148i \(-0.660105\pi\)
0.193911 + 0.981019i \(0.437883\pi\)
\(74\) 5.70555 + 4.78753i 0.663257 + 0.556539i
\(75\) −40.5654 −4.68409
\(76\) 2.81203 + 3.33054i 0.322562 + 0.382039i
\(77\) 0.362266 0.0412841
\(78\) −11.9769 10.0498i −1.35612 1.13792i
\(79\) 0.521100 0.189665i 0.0586284 0.0213390i −0.312539 0.949905i \(-0.601180\pi\)
0.371168 + 0.928566i \(0.378957\pi\)
\(80\) −0.749009 4.24784i −0.0837418 0.474923i
\(81\) 1.39304 7.90035i 0.154783 0.877817i
\(82\) 2.55002 + 0.928130i 0.281602 + 0.102495i
\(83\) 2.53155 + 4.38478i 0.277874 + 0.481292i 0.970856 0.239663i \(-0.0770368\pi\)
−0.692982 + 0.720955i \(0.743703\pi\)
\(84\) 1.49081 2.58215i 0.162660 0.281736i
\(85\) 15.2986 12.8370i 1.65937 1.39237i
\(86\) −3.04222 + 2.55272i −0.328051 + 0.275267i
\(87\) −3.10830 + 5.38374i −0.333245 + 0.577198i
\(88\) 0.181133 + 0.313732i 0.0193089 + 0.0334439i
\(89\) 6.60293 + 2.40327i 0.699909 + 0.254746i 0.667372 0.744725i \(-0.267419\pi\)
0.0325368 + 0.999471i \(0.489641\pi\)
\(90\) 4.41167 25.0199i 0.465031 2.63732i
\(91\) −0.910564 5.16406i −0.0954530 0.541341i
\(92\) −1.67309 + 0.608955i −0.174432 + 0.0634879i
\(93\) −4.61583 3.87315i −0.478640 0.401626i
\(94\) 3.27349 0.337634
\(95\) 6.48443 + 17.6480i 0.665288 + 1.81064i
\(96\) 2.98161 0.304310
\(97\) −1.06371 0.892561i −0.108004 0.0906258i 0.587187 0.809452i \(-0.300235\pi\)
−0.695190 + 0.718826i \(0.744680\pi\)
\(98\) 0.939693 0.342020i 0.0949233 0.0345493i
\(99\) 0.370522 + 2.10134i 0.0372389 + 0.211192i
\(100\) 2.36251 13.3985i 0.236251 1.33985i
\(101\) 0.261850 + 0.0953057i 0.0260551 + 0.00948327i 0.355015 0.934861i \(-0.384476\pi\)
−0.328960 + 0.944344i \(0.606698\pi\)
\(102\) 6.90243 + 11.9554i 0.683442 + 1.18376i
\(103\) 5.49276 9.51375i 0.541218 0.937417i −0.457616 0.889150i \(-0.651297\pi\)
0.998834 0.0482675i \(-0.0153700\pi\)
\(104\) 4.01693 3.37060i 0.393892 0.330515i
\(105\) 9.85195 8.26677i 0.961452 0.806754i
\(106\) −5.87413 + 10.1743i −0.570546 + 0.988215i
\(107\) 1.79893 + 3.11584i 0.173909 + 0.301220i 0.939783 0.341771i \(-0.111027\pi\)
−0.765874 + 0.642991i \(0.777693\pi\)
\(108\) 8.09724 + 2.94715i 0.779157 + 0.283590i
\(109\) −1.89355 + 10.7388i −0.181369 + 1.02859i 0.749163 + 0.662385i \(0.230456\pi\)
−0.930532 + 0.366210i \(0.880655\pi\)
\(110\) 0.271341 + 1.53885i 0.0258713 + 0.146724i
\(111\) −20.8680 + 7.59533i −1.98070 + 0.720917i
\(112\) 0.766044 + 0.642788i 0.0723844 + 0.0607377i
\(113\) −4.29382 −0.403928 −0.201964 0.979393i \(-0.564732\pi\)
−0.201964 + 0.979393i \(0.564732\pi\)
\(114\) −12.7922 + 2.29590i −1.19809 + 0.215030i
\(115\) −7.67981 −0.716146
\(116\) −1.59719 1.34020i −0.148295 0.124434i
\(117\) 29.0230 10.5635i 2.68318 0.976596i
\(118\) 0.134994 + 0.765586i 0.0124272 + 0.0704779i
\(119\) −0.803991 + 4.55966i −0.0737017 + 0.417983i
\(120\) 12.0852 + 4.39865i 1.10322 + 0.401540i
\(121\) 5.43438 + 9.41263i 0.494035 + 0.855693i
\(122\) −5.37109 + 9.30301i −0.486276 + 0.842255i
\(123\) −6.19815 + 5.20087i −0.558869 + 0.468946i
\(124\) 1.54810 1.29901i 0.139023 0.116655i
\(125\) 18.5587 32.1446i 1.65994 2.87510i
\(126\) 2.94501 + 5.10090i 0.262362 + 0.454424i
\(127\) 10.3764 + 3.77671i 0.920759 + 0.335129i 0.758541 0.651626i \(-0.225913\pi\)
0.162219 + 0.986755i \(0.448135\pi\)
\(128\) −0.173648 + 0.984808i −0.0153485 + 0.0870455i
\(129\) −2.05616 11.6611i −0.181035 1.02670i
\(130\) 21.2541 7.73586i 1.86411 0.678480i
\(131\) 2.99061 + 2.50942i 0.261291 + 0.219249i 0.764016 0.645197i \(-0.223225\pi\)
−0.502725 + 0.864446i \(0.667669\pi\)
\(132\) −1.08014 −0.0940139
\(133\) −3.78155 2.16791i −0.327902 0.187982i
\(134\) −2.61230 −0.225668
\(135\) 28.4723 + 23.8911i 2.45050 + 2.05622i
\(136\) −4.35077 + 1.58355i −0.373076 + 0.135789i
\(137\) −1.88910 10.7136i −0.161397 0.915327i −0.952702 0.303906i \(-0.901709\pi\)
0.791305 0.611421i \(-0.209402\pi\)
\(138\) 0.921838 5.22801i 0.0784721 0.445037i
\(139\) −11.3580 4.13398i −0.963374 0.350640i −0.188019 0.982165i \(-0.560207\pi\)
−0.775355 + 0.631526i \(0.782429\pi\)
\(140\) 2.15669 + 3.73549i 0.182273 + 0.315707i
\(141\) −4.88013 + 8.45264i −0.410981 + 0.711841i
\(142\) 11.1406 9.34806i 0.934897 0.784472i
\(143\) −1.45520 + 1.22106i −0.121690 + 0.102110i
\(144\) −2.94501 + 5.10090i −0.245417 + 0.425075i
\(145\) −4.49665 7.78843i −0.373427 0.646794i
\(146\) 2.46180 + 0.896023i 0.203740 + 0.0741554i
\(147\) −0.517752 + 2.93632i −0.0427034 + 0.242183i
\(148\) −1.29334 7.33492i −0.106312 0.602926i
\(149\) 18.6180 6.77640i 1.52525 0.555144i 0.562794 0.826597i \(-0.309726\pi\)
0.962452 + 0.271453i \(0.0875042\pi\)
\(150\) 31.0749 + 26.0749i 2.53725 + 2.12901i
\(151\) 16.3282 1.32877 0.664386 0.747390i \(-0.268693\pi\)
0.664386 + 0.747390i \(0.268693\pi\)
\(152\) −0.0133093 4.35888i −0.00107953 0.353552i
\(153\) −27.2708 −2.20471
\(154\) −0.277512 0.232860i −0.0223626 0.0187644i
\(155\) 8.19120 2.98135i 0.657933 0.239468i
\(156\) 2.71495 + 15.3972i 0.217370 + 1.23277i
\(157\) −0.933254 + 5.29274i −0.0744817 + 0.422407i 0.924653 + 0.380811i \(0.124355\pi\)
−0.999135 + 0.0415957i \(0.986756\pi\)
\(158\) −0.521100 0.189665i −0.0414565 0.0150889i
\(159\) −17.5144 30.3358i −1.38898 2.40579i
\(160\) −2.15669 + 3.73549i −0.170501 + 0.295316i
\(161\) 1.36391 1.14446i 0.107492 0.0901961i
\(162\) −6.14538 + 5.15659i −0.482827 + 0.405140i
\(163\) 2.17769 3.77186i 0.170569 0.295435i −0.768050 0.640390i \(-0.778773\pi\)
0.938619 + 0.344955i \(0.112106\pi\)
\(164\) −1.35684 2.35011i −0.105951 0.183513i
\(165\) −4.37806 1.59348i −0.340832 0.124053i
\(166\) 0.879200 4.98619i 0.0682391 0.387003i
\(167\) −4.15733 23.5774i −0.321704 1.82447i −0.531893 0.846811i \(-0.678519\pi\)
0.210190 0.977661i \(-0.432592\pi\)
\(168\) −2.80180 + 1.01977i −0.216164 + 0.0786771i
\(169\) 11.1051 + 9.31828i 0.854238 + 0.716791i
\(170\) −19.9709 −1.53170
\(171\) 8.70731 24.1523i 0.665865 1.84698i
\(172\) 3.97133 0.302811
\(173\) −4.10278 3.44264i −0.311929 0.261739i 0.473360 0.880869i \(-0.343041\pi\)
−0.785289 + 0.619130i \(0.787485\pi\)
\(174\) 5.84170 2.12621i 0.442858 0.161187i
\(175\) 2.36251 + 13.3985i 0.178589 + 1.01283i
\(176\) 0.0629069 0.356763i 0.00474178 0.0268920i
\(177\) −2.17811 0.792767i −0.163717 0.0595880i
\(178\) −3.51334 6.08529i −0.263336 0.456112i
\(179\) −9.66056 + 16.7326i −0.722064 + 1.25065i 0.238106 + 0.971239i \(0.423473\pi\)
−0.960171 + 0.279413i \(0.909860\pi\)
\(180\) −19.4620 + 16.3305i −1.45061 + 1.21721i
\(181\) −7.28156 + 6.10996i −0.541234 + 0.454150i −0.871960 0.489577i \(-0.837151\pi\)
0.330725 + 0.943727i \(0.392707\pi\)
\(182\) −2.62186 + 4.54120i −0.194345 + 0.336616i
\(183\) −16.0145 27.7380i −1.18383 2.05045i
\(184\) 1.67309 + 0.608955i 0.123342 + 0.0448927i
\(185\) 5.57867 31.6382i 0.410152 2.32609i
\(186\) 1.04632 + 5.93400i 0.0767203 + 0.435102i
\(187\) 1.57614 0.573668i 0.115259 0.0419507i
\(188\) −2.50764 2.10416i −0.182888 0.153461i
\(189\) −8.61690 −0.626787
\(190\) 6.37653 17.6872i 0.462602 1.28317i
\(191\) −16.3533 −1.18329 −0.591643 0.806200i \(-0.701521\pi\)
−0.591643 + 0.806200i \(0.701521\pi\)
\(192\) −2.28405 1.91654i −0.164837 0.138315i
\(193\) −0.856534 + 0.311753i −0.0616546 + 0.0224405i −0.372663 0.927967i \(-0.621555\pi\)
0.311009 + 0.950407i \(0.399333\pi\)
\(194\) 0.241124 + 1.36748i 0.0173117 + 0.0981795i
\(195\) −11.7106 + 66.4140i −0.838612 + 4.75601i
\(196\) −0.939693 0.342020i −0.0671209 0.0244300i
\(197\) 13.8640 + 24.0132i 0.987770 + 1.71087i 0.628916 + 0.777474i \(0.283499\pi\)
0.358854 + 0.933394i \(0.383168\pi\)
\(198\) 1.06688 1.84788i 0.0758196 0.131323i
\(199\) −5.04682 + 4.23478i −0.357759 + 0.300196i −0.803897 0.594769i \(-0.797244\pi\)
0.446138 + 0.894964i \(0.352799\pi\)
\(200\) −10.4222 + 8.74524i −0.736959 + 0.618382i
\(201\) 3.89444 6.74536i 0.274692 0.475781i
\(202\) −0.139328 0.241322i −0.00980306 0.0169794i
\(203\) 1.95924 + 0.713106i 0.137512 + 0.0500502i
\(204\) 2.39719 13.5951i 0.167837 0.951850i
\(205\) −2.03256 11.5272i −0.141960 0.805098i
\(206\) −10.3230 + 3.75727i −0.719239 + 0.261782i
\(207\) 8.03348 + 6.74089i 0.558365 + 0.468524i
\(208\) −5.24373 −0.363587
\(209\) 0.00482151 + 1.57907i 0.000333511 + 0.109227i
\(210\) −12.8608 −0.887480
\(211\) 3.01044 + 2.52606i 0.207247 + 0.173901i 0.740503 0.672053i \(-0.234587\pi\)
−0.533256 + 0.845954i \(0.679032\pi\)
\(212\) 11.0398 4.01814i 0.758213 0.275967i
\(213\) 7.52966 + 42.7028i 0.515924 + 2.92595i
\(214\) 0.624763 3.54321i 0.0427079 0.242209i
\(215\) 16.0968 + 5.85875i 1.09779 + 0.399563i
\(216\) −4.30845 7.46246i −0.293153 0.507756i
\(217\) −1.01045 + 1.75015i −0.0685939 + 0.118808i
\(218\) 8.35334 7.00928i 0.565760 0.474729i
\(219\) −5.98374 + 5.02095i −0.404343 + 0.339284i
\(220\) 0.781294 1.35324i 0.0526749 0.0912355i
\(221\) −12.1392 21.0257i −0.816572 1.41434i
\(222\) 20.8680 + 7.59533i 1.40057 + 0.509765i
\(223\) −2.66864 + 15.1346i −0.178706 + 1.01349i 0.755073 + 0.655640i \(0.227601\pi\)
−0.933779 + 0.357850i \(0.883510\pi\)
\(224\) −0.173648 0.984808i −0.0116024 0.0658002i
\(225\) −75.3020 + 27.4077i −5.02013 + 1.82718i
\(226\) 3.28926 + 2.76001i 0.218798 + 0.183593i
\(227\) 15.6050 1.03574 0.517870 0.855459i \(-0.326725\pi\)
0.517870 + 0.855459i \(0.326725\pi\)
\(228\) 11.2751 + 6.46388i 0.746714 + 0.428081i
\(229\) 8.96359 0.592331 0.296165 0.955137i \(-0.404292\pi\)
0.296165 + 0.955137i \(0.404292\pi\)
\(230\) 5.88307 + 4.93648i 0.387918 + 0.325502i
\(231\) 1.01500 0.369429i 0.0667819 0.0243066i
\(232\) 0.362053 + 2.05331i 0.0237700 + 0.134806i
\(233\) 2.64414 14.9956i 0.173223 0.982398i −0.766952 0.641705i \(-0.778227\pi\)
0.940175 0.340693i \(-0.110662\pi\)
\(234\) −29.0230 10.5635i −1.89729 0.690558i
\(235\) −7.05988 12.2281i −0.460536 0.797672i
\(236\) 0.388698 0.673245i 0.0253021 0.0438245i
\(237\) 1.26660 1.06281i 0.0822748 0.0690367i
\(238\) 3.54678 2.97611i 0.229904 0.192912i
\(239\) −9.45344 + 16.3738i −0.611492 + 1.05914i 0.379497 + 0.925193i \(0.376097\pi\)
−0.990989 + 0.133942i \(0.957236\pi\)
\(240\) −6.43040 11.1378i −0.415081 0.718941i
\(241\) −17.5626 6.39228i −1.13131 0.411763i −0.292541 0.956253i \(-0.594501\pi\)
−0.838767 + 0.544490i \(0.816723\pi\)
\(242\) 1.88734 10.7036i 0.121323 0.688056i
\(243\) 0.335409 + 1.90220i 0.0215165 + 0.122026i
\(244\) 10.0944 3.67404i 0.646225 0.235207i
\(245\) −3.30423 2.77258i −0.211100 0.177134i
\(246\) 8.09111 0.515871
\(247\) 22.4974 4.03777i 1.43148 0.256917i
\(248\) −2.02090 −0.128327
\(249\) 11.5644 + 9.70367i 0.732863 + 0.614945i
\(250\) −34.8789 + 12.6949i −2.20593 + 0.802894i
\(251\) −3.04517 17.2700i −0.192210 1.09007i −0.916337 0.400408i \(-0.868868\pi\)
0.724127 0.689666i \(-0.242243\pi\)
\(252\) 1.02279 5.80053i 0.0644297 0.365399i
\(253\) −0.606104 0.220604i −0.0381054 0.0138692i
\(254\) −5.52118 9.56297i −0.346430 0.600034i
\(255\) 29.7727 51.5679i 1.86444 3.22931i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 8.83155 7.41055i 0.550897 0.462257i −0.324348 0.945938i \(-0.605145\pi\)
0.875245 + 0.483681i \(0.160700\pi\)
\(258\) −5.92049 + 10.2546i −0.368593 + 0.638423i
\(259\) 3.72404 + 6.45022i 0.231400 + 0.400797i
\(260\) −21.2541 7.73586i −1.31812 0.479758i
\(261\) −2.13250 + 12.0940i −0.131998 + 0.748600i
\(262\) −0.677916 3.84465i −0.0418818 0.237524i
\(263\) 5.01924 1.82685i 0.309499 0.112649i −0.182601 0.983187i \(-0.558452\pi\)
0.492100 + 0.870539i \(0.336229\pi\)
\(264\) 0.827433 + 0.694299i 0.0509250 + 0.0427311i
\(265\) 50.6746 3.11292
\(266\) 1.50333 + 4.09145i 0.0921751 + 0.250863i
\(267\) 20.9509 1.28217
\(268\) 2.00114 + 1.67916i 0.122239 + 0.102571i
\(269\) −24.5841 + 8.94787i −1.49892 + 0.545561i −0.955780 0.294083i \(-0.904986\pi\)
−0.543137 + 0.839644i \(0.682763\pi\)
\(270\) −6.45414 36.6032i −0.392786 2.22760i
\(271\) −3.52167 + 19.9724i −0.213926 + 1.21324i 0.668834 + 0.743412i \(0.266794\pi\)
−0.882760 + 0.469824i \(0.844317\pi\)
\(272\) 4.35077 + 1.58355i 0.263804 + 0.0960170i
\(273\) −7.81738 13.5401i −0.473129 0.819484i
\(274\) −5.43945 + 9.42141i −0.328609 + 0.569168i
\(275\) 3.77560 3.16810i 0.227677 0.191044i
\(276\) −4.06667 + 3.41234i −0.244785 + 0.205399i
\(277\) −15.5865 + 26.9966i −0.936500 + 1.62207i −0.164564 + 0.986366i \(0.552622\pi\)
−0.771936 + 0.635700i \(0.780712\pi\)
\(278\) 6.04347 + 10.4676i 0.362464 + 0.627805i
\(279\) −11.1853 4.07111i −0.669646 0.243731i
\(280\) 0.749009 4.24784i 0.0447619 0.253857i
\(281\) −1.04347 5.91781i −0.0622481 0.353027i −0.999984 0.00567727i \(-0.998193\pi\)
0.937736 0.347350i \(-0.112918\pi\)
\(282\) 9.17165 3.33821i 0.546164 0.198787i
\(283\) 9.41982 + 7.90416i 0.559950 + 0.469854i 0.878294 0.478122i \(-0.158682\pi\)
−0.318344 + 0.947975i \(0.603127\pi\)
\(284\) −14.5430 −0.862968
\(285\) 36.1650 + 42.8334i 2.14223 + 2.53723i
\(286\) 1.89962 0.112327
\(287\) 2.07879 + 1.74431i 0.122707 + 0.102964i
\(288\) 5.53480 2.01450i 0.326141 0.118706i
\(289\) 0.770456 + 4.36947i 0.0453209 + 0.257028i
\(290\) −1.56167 + 8.85667i −0.0917045 + 0.520082i
\(291\) −3.89052 1.41603i −0.228066 0.0830093i
\(292\) −1.30990 2.26881i −0.0766560 0.132772i
\(293\) −2.01328 + 3.48710i −0.117617 + 0.203718i −0.918823 0.394670i \(-0.870859\pi\)
0.801206 + 0.598389i \(0.204192\pi\)
\(294\) 2.28405 1.91654i 0.133208 0.111775i
\(295\) 2.56870 2.15540i 0.149556 0.125492i
\(296\) −3.72404 + 6.45022i −0.216455 + 0.374911i
\(297\) 1.56081 + 2.70340i 0.0905672 + 0.156867i
\(298\) −18.6180 6.77640i −1.07851 0.392546i
\(299\) −1.62123 + 9.19443i −0.0937579 + 0.531728i
\(300\) −7.04410 39.9491i −0.406691 2.30646i
\(301\) −3.73183 + 1.35828i −0.215099 + 0.0782897i
\(302\) −12.5081 10.4956i −0.719763 0.603953i
\(303\) 0.830842 0.0477306
\(304\) −2.79164 + 3.34765i −0.160111 + 0.192001i
\(305\) 46.3350 2.65314
\(306\) 20.8906 + 17.5293i 1.19424 + 1.00208i
\(307\) 21.3132 7.75736i 1.21641 0.442736i 0.347485 0.937685i \(-0.387036\pi\)
0.868922 + 0.494950i \(0.164813\pi\)
\(308\) 0.0629069 + 0.356763i 0.00358445 + 0.0203284i
\(309\) 5.68777 32.2570i 0.323566 1.83504i
\(310\) −8.19120 2.98135i −0.465229 0.169330i
\(311\) −8.45177 14.6389i −0.479256 0.830096i 0.520461 0.853886i \(-0.325760\pi\)
−0.999717 + 0.0237895i \(0.992427\pi\)
\(312\) 7.81738 13.5401i 0.442572 0.766557i
\(313\) −1.07225 + 0.899723i −0.0606071 + 0.0508554i −0.672588 0.740017i \(-0.734817\pi\)
0.611981 + 0.790873i \(0.290373\pi\)
\(314\) 4.11702 3.45459i 0.232337 0.194954i
\(315\) 12.7029 22.0021i 0.715728 1.23968i
\(316\) 0.277272 + 0.480249i 0.0155978 + 0.0270161i
\(317\) −10.2870 3.74416i −0.577776 0.210293i 0.0365686 0.999331i \(-0.488357\pi\)
−0.614344 + 0.789038i \(0.710579\pi\)
\(318\) −6.08268 + 34.4966i −0.341100 + 1.93447i
\(319\) −0.131160 0.743843i −0.00734353 0.0416472i
\(320\) 4.05324 1.47526i 0.226583 0.0824695i
\(321\) 8.21770 + 6.89547i 0.458667 + 0.384867i
\(322\) −1.78046 −0.0992214
\(323\) −19.8857 3.44381i −1.10647 0.191619i
\(324\) 8.02223 0.445679
\(325\) −54.6510 45.8576i −3.03149 2.54372i
\(326\) −4.09271 + 1.48962i −0.226674 + 0.0825027i
\(327\) 5.64583 + 32.0191i 0.312215 + 1.77066i
\(328\) −0.471224 + 2.67244i −0.0260190 + 0.147561i
\(329\) 3.07607 + 1.11960i 0.169589 + 0.0617255i
\(330\) 2.32952 + 4.03484i 0.128236 + 0.222111i
\(331\) −1.56191 + 2.70531i −0.0858506 + 0.148698i −0.905753 0.423805i \(-0.860694\pi\)
0.819903 + 0.572503i \(0.194027\pi\)
\(332\) −3.87857 + 3.25450i −0.212864 + 0.178614i
\(333\) −33.6058 + 28.1986i −1.84159 + 1.54527i
\(334\) −11.9705 + 20.7336i −0.654999 + 1.13449i
\(335\) 5.63391 + 9.75823i 0.307814 + 0.533149i
\(336\) 2.80180 + 1.01977i 0.152851 + 0.0556331i
\(337\) −0.637119 + 3.61328i −0.0347061 + 0.196828i −0.997231 0.0743650i \(-0.976307\pi\)
0.962525 + 0.271193i \(0.0874181\pi\)
\(338\) −2.51732 14.2764i −0.136924 0.776535i
\(339\) −12.0304 + 4.37871i −0.653403 + 0.237819i
\(340\) 15.2986 + 12.8370i 0.829683 + 0.696187i
\(341\) 0.732104 0.0396457
\(342\) −22.1950 + 12.9048i −1.20017 + 0.697813i
\(343\) 1.00000 0.0539949
\(344\) −3.04222 2.55272i −0.164025 0.137634i
\(345\) −21.5173 + 7.83165i −1.15845 + 0.421642i
\(346\) 0.930026 + 5.27444i 0.0499985 + 0.283555i
\(347\) −2.47722 + 14.0490i −0.132984 + 0.754190i 0.843258 + 0.537509i \(0.180634\pi\)
−0.976242 + 0.216682i \(0.930477\pi\)
\(348\) −5.84170 2.12621i −0.313148 0.113977i
\(349\) 1.59962 + 2.77061i 0.0856254 + 0.148308i 0.905658 0.424010i \(-0.139378\pi\)
−0.820032 + 0.572317i \(0.806044\pi\)
\(350\) 6.80259 11.7824i 0.363614 0.629797i
\(351\) 34.6135 29.0442i 1.84753 1.55026i
\(352\) −0.277512 + 0.232860i −0.0147914 + 0.0124115i
\(353\) 1.48249 2.56775i 0.0789051 0.136668i −0.823873 0.566775i \(-0.808191\pi\)
0.902778 + 0.430107i \(0.141524\pi\)
\(354\) 1.15895 + 2.00736i 0.0615974 + 0.106690i
\(355\) −58.9463 21.4547i −3.12855 1.13870i
\(356\) −1.22017 + 6.91994i −0.0646690 + 0.366756i
\(357\) 2.39719 + 13.5951i 0.126873 + 0.719531i
\(358\) 18.1559 6.60821i 0.959570 0.349255i
\(359\) −15.7336 13.2020i −0.830385 0.696776i 0.124994 0.992158i \(-0.460109\pi\)
−0.955379 + 0.295381i \(0.904553\pi\)
\(360\) 25.4058 1.33900
\(361\) 9.39934 16.5122i 0.494702 0.869063i
\(362\) 9.50541 0.499593
\(363\) 24.8248 + 20.8305i 1.30296 + 1.09332i
\(364\) 4.92749 1.79346i 0.258271 0.0940029i
\(365\) −1.96225 11.1285i −0.102709 0.582491i
\(366\) −5.56178 + 31.5424i −0.290719 + 1.64875i
\(367\) 8.67319 + 3.15678i 0.452737 + 0.164783i 0.558316 0.829628i \(-0.311448\pi\)
−0.105580 + 0.994411i \(0.533670\pi\)
\(368\) −0.890232 1.54193i −0.0464066 0.0803785i
\(369\) −7.99178 + 13.8422i −0.416035 + 0.720594i
\(370\) −24.6102 + 20.6504i −1.27942 + 1.07356i
\(371\) −8.99969 + 7.55164i −0.467241 + 0.392061i
\(372\) 3.01277 5.21827i 0.156205 0.270555i
\(373\) 9.28697 + 16.0855i 0.480861 + 0.832876i 0.999759 0.0219605i \(-0.00699079\pi\)
−0.518898 + 0.854836i \(0.673657\pi\)
\(374\) −1.57614 0.573668i −0.0815002 0.0296636i
\(375\) 19.2176 108.988i 0.992390 5.62813i
\(376\) 0.568435 + 3.22375i 0.0293148 + 0.166252i
\(377\) −10.2737 + 3.73933i −0.529124 + 0.192585i
\(378\) 6.60093 + 5.53884i 0.339515 + 0.284887i
\(379\) 7.87312 0.404415 0.202207 0.979343i \(-0.435188\pi\)
0.202207 + 0.979343i \(0.435188\pi\)
\(380\) −16.2538 + 9.45045i −0.833805 + 0.484798i
\(381\) 32.9241 1.68675
\(382\) 12.5274 + 10.5117i 0.640957 + 0.537827i
\(383\) −13.7714 + 5.01238i −0.703686 + 0.256121i −0.668984 0.743277i \(-0.733270\pi\)
−0.0347019 + 0.999398i \(0.511048\pi\)
\(384\) 0.517752 + 2.93632i 0.0264214 + 0.149843i
\(385\) −0.271341 + 1.53885i −0.0138288 + 0.0784270i
\(386\) 0.856534 + 0.311753i 0.0435964 + 0.0158678i
\(387\) −11.6956 20.2574i −0.594521 1.02974i
\(388\) 0.694289 1.20254i 0.0352472 0.0610499i
\(389\) 13.0386 10.9407i 0.661086 0.554717i −0.249326 0.968420i \(-0.580209\pi\)
0.910412 + 0.413703i \(0.135765\pi\)
\(390\) 51.6609 43.3487i 2.61595 2.19504i
\(391\) 4.12177 7.13912i 0.208447 0.361041i
\(392\) 0.500000 + 0.866025i 0.0252538 + 0.0437409i
\(393\) 10.9381 + 3.98115i 0.551756 + 0.200823i
\(394\) 4.81492 27.3068i 0.242572 1.37569i
\(395\) 0.415358 + 2.35561i 0.0208989 + 0.118524i
\(396\) −2.00507 + 0.729786i −0.100759 + 0.0366732i
\(397\) 7.98321 + 6.69871i 0.400666 + 0.336198i 0.820751 0.571286i \(-0.193555\pi\)
−0.420085 + 0.907485i \(0.638000\pi\)
\(398\) 6.58815 0.330234
\(399\) −12.8059 2.21774i −0.641099 0.111026i
\(400\) 13.6052 0.680259
\(401\) 23.0394 + 19.3323i 1.15053 + 0.965410i 0.999732 0.0231544i \(-0.00737092\pi\)
0.150799 + 0.988564i \(0.451815\pi\)
\(402\) −7.31915 + 2.66395i −0.365046 + 0.132866i
\(403\) −1.84016 10.4361i −0.0916648 0.519857i
\(404\) −0.0483880 + 0.274422i −0.00240739 + 0.0136530i
\(405\) 32.5160 + 11.8349i 1.61573 + 0.588079i
\(406\) −1.04249 1.80565i −0.0517380 0.0896128i
\(407\) 1.34909 2.33670i 0.0668720 0.115826i
\(408\) −10.5751 + 8.87359i −0.523547 + 0.439308i
\(409\) −8.46735 + 7.10495i −0.418684 + 0.351317i −0.827662 0.561227i \(-0.810330\pi\)
0.408978 + 0.912544i \(0.365885\pi\)
\(410\) −5.85254 + 10.1369i −0.289036 + 0.500625i
\(411\) −16.2183 28.0910i −0.799992 1.38563i
\(412\) 10.3230 + 3.75727i 0.508579 + 0.185107i
\(413\) −0.134994 + 0.765586i −0.00664260 + 0.0376720i
\(414\) −1.82104 10.3276i −0.0894993 0.507576i
\(415\) −20.5220 + 7.46940i −1.00739 + 0.366659i
\(416\) 4.01693 + 3.37060i 0.196946 + 0.165257i
\(417\) −36.0386 −1.76482
\(418\) 1.01132 1.21274i 0.0494651 0.0593171i
\(419\) −14.4315 −0.705023 −0.352511 0.935808i \(-0.614672\pi\)
−0.352511 + 0.935808i \(0.614672\pi\)
\(420\) 9.85195 + 8.26677i 0.480726 + 0.403377i
\(421\) −25.0012 + 9.09968i −1.21848 + 0.443491i −0.869638 0.493689i \(-0.835648\pi\)
−0.348844 + 0.937181i \(0.613426\pi\)
\(422\) −0.682411 3.87014i −0.0332192 0.188396i
\(423\) −3.34809 + 18.9880i −0.162790 + 0.923226i
\(424\) −11.0398 4.01814i −0.536138 0.195138i
\(425\) 31.4960 + 54.5526i 1.52778 + 2.64619i
\(426\) 21.6808 37.5522i 1.05044 1.81941i
\(427\) −8.22899 + 6.90494i −0.398229 + 0.334154i
\(428\) −2.75612 + 2.31266i −0.133222 + 0.111787i
\(429\) −2.83197 + 4.90512i −0.136729 + 0.236821i
\(430\) −8.56492 14.8349i −0.413037 0.715401i
\(431\) 18.9920 + 6.91253i 0.914814 + 0.332965i 0.756173 0.654371i \(-0.227067\pi\)
0.158640 + 0.987336i \(0.449289\pi\)
\(432\) −1.49631 + 8.48599i −0.0719912 + 0.408283i
\(433\) 6.27552 + 35.5903i 0.301582 + 1.71036i 0.639171 + 0.769065i \(0.279278\pi\)
−0.337588 + 0.941294i \(0.609611\pi\)
\(434\) 1.89903 0.691189i 0.0911562 0.0331781i
\(435\) −20.5411 17.2361i −0.984872 0.826406i
\(436\) −10.9045 −0.522231
\(437\) 5.00672 + 5.92991i 0.239504 + 0.283666i
\(438\) 7.81121 0.373234
\(439\) 14.5417 + 12.2020i 0.694039 + 0.582368i 0.920071 0.391752i \(-0.128131\pi\)
−0.226032 + 0.974120i \(0.572575\pi\)
\(440\) −1.46835 + 0.534437i −0.0700010 + 0.0254783i
\(441\) 1.02279 + 5.80053i 0.0487043 + 0.276216i
\(442\) −4.21591 + 23.9096i −0.200530 + 1.13726i
\(443\) 30.3354 + 11.0412i 1.44128 + 0.524582i 0.940141 0.340786i \(-0.110693\pi\)
0.501137 + 0.865368i \(0.332915\pi\)
\(444\) −11.1036 19.2321i −0.526955 0.912713i
\(445\) −15.1544 + 26.2481i −0.718385 + 1.24428i
\(446\) 11.7727 9.87843i 0.557451 0.467757i
\(447\) 45.2535 37.9722i 2.14042 1.79602i
\(448\) −0.500000 + 0.866025i −0.0236228 + 0.0409159i
\(449\) 5.50749 + 9.53925i 0.259914 + 0.450185i 0.966219 0.257723i \(-0.0829723\pi\)
−0.706304 + 0.707908i \(0.749639\pi\)
\(450\) 75.3020 + 27.4077i 3.54977 + 1.29201i
\(451\) 0.170708 0.968136i 0.00803835 0.0455877i
\(452\) −0.745614 4.22859i −0.0350707 0.198896i
\(453\) 45.7484 16.6511i 2.14945 0.782335i
\(454\) −11.9541 10.0307i −0.561035 0.470764i
\(455\) 22.6181 1.06035
\(456\) −4.48235 12.1991i −0.209905 0.571277i
\(457\) −1.92274 −0.0899421 −0.0449710 0.998988i \(-0.514320\pi\)
−0.0449710 + 0.998988i \(0.514320\pi\)
\(458\) −6.86651 5.76168i −0.320851 0.269226i
\(459\) −37.4902 + 13.6453i −1.74989 + 0.636909i
\(460\) −1.33358 7.56313i −0.0621787 0.352633i
\(461\) −0.661726 + 3.75283i −0.0308196 + 0.174787i −0.996332 0.0855697i \(-0.972729\pi\)
0.965513 + 0.260356i \(0.0838401\pi\)
\(462\) −1.01500 0.369429i −0.0472219 0.0171874i
\(463\) 17.4553 + 30.2335i 0.811217 + 1.40507i 0.912013 + 0.410162i \(0.134528\pi\)
−0.100795 + 0.994907i \(0.532139\pi\)
\(464\) 1.04249 1.80565i 0.0483964 0.0838251i
\(465\) 19.9098 16.7063i 0.923295 0.774737i
\(466\) −11.6645 + 9.78771i −0.540350 + 0.453407i
\(467\) 16.6262 28.7974i 0.769368 1.33258i −0.168539 0.985695i \(-0.553905\pi\)
0.937906 0.346889i \(-0.112762\pi\)
\(468\) 15.4428 + 26.7477i 0.713844 + 1.23641i
\(469\) −2.45476 0.893460i −0.113350 0.0412561i
\(470\) −2.45187 + 13.9053i −0.113096 + 0.641401i
\(471\) 2.78260 + 15.7809i 0.128215 + 0.727146i
\(472\) −0.730514 + 0.265885i −0.0336246 + 0.0122384i
\(473\) 1.10209 + 0.924765i 0.0506743 + 0.0425208i
\(474\) −1.65343 −0.0759447
\(475\) −58.3709 + 10.4762i −2.67824 + 0.480683i
\(476\) −4.63000 −0.212216
\(477\) −53.0083 44.4792i −2.42708 2.03656i
\(478\) 17.7667 6.46653i 0.812628 0.295772i
\(479\) 0.575611 + 3.26445i 0.0263003 + 0.149157i 0.995130 0.0985712i \(-0.0314272\pi\)
−0.968830 + 0.247728i \(0.920316\pi\)
\(480\) −2.23326 + 12.6654i −0.101934 + 0.578095i
\(481\) −36.7003 13.3578i −1.67339 0.609064i
\(482\) 9.34488 + 16.1858i 0.425648 + 0.737243i
\(483\) 2.65433 4.59743i 0.120776 0.209190i
\(484\) −8.32596 + 6.98631i −0.378453 + 0.317559i
\(485\) 4.58819 3.84995i 0.208339 0.174817i
\(486\) 0.965770 1.67276i 0.0438082 0.0758781i
\(487\) −11.1886 19.3793i −0.507005 0.878158i −0.999967 0.00810743i \(-0.997419\pi\)
0.492962 0.870051i \(-0.335914\pi\)
\(488\) −10.0944 3.67404i −0.456950 0.166316i
\(489\) 2.25500 12.7887i 0.101975 0.578327i
\(490\) 0.749009 + 4.24784i 0.0338368 + 0.191898i
\(491\) 4.65141 1.69297i 0.209915 0.0764029i −0.234922 0.972014i \(-0.575484\pi\)
0.444838 + 0.895611i \(0.353261\pi\)
\(492\) −6.19815 5.20087i −0.279434 0.234473i
\(493\) 9.65346 0.434770
\(494\) −19.8294 11.3679i −0.892169 0.511468i
\(495\) −9.20367 −0.413674
\(496\) 1.54810 + 1.29901i 0.0695117 + 0.0583273i
\(497\) 13.6659 4.97400i 0.613002 0.223114i
\(498\) −2.62143 14.8669i −0.117469 0.666201i
\(499\) −3.52365 + 19.9836i −0.157740 + 0.894588i 0.798498 + 0.601998i \(0.205628\pi\)
−0.956238 + 0.292591i \(0.905483\pi\)
\(500\) 34.8789 + 12.6949i 1.55983 + 0.567732i
\(501\) −35.6915 61.8195i −1.59458 2.76189i
\(502\) −8.76822 + 15.1870i −0.391345 + 0.677829i
\(503\) 17.8666 14.9919i 0.796633 0.668454i −0.150745 0.988573i \(-0.548167\pi\)
0.947378 + 0.320118i \(0.103723\pi\)
\(504\) −4.51201 + 3.78603i −0.200981 + 0.168643i
\(505\) −0.600972 + 1.04091i −0.0267429 + 0.0463200i
\(506\) 0.322501 + 0.558588i 0.0143369 + 0.0248323i
\(507\) 40.6168 + 14.7833i 1.80385 + 0.656549i
\(508\) −1.91749 + 10.8746i −0.0850747 + 0.482483i
\(509\) −4.70951 26.7089i −0.208745 1.18385i −0.891436 0.453146i \(-0.850302\pi\)
0.682691 0.730707i \(-0.260810\pi\)
\(510\) −55.9545 + 20.3658i −2.47771 + 0.901811i
\(511\) 2.00688 + 1.68397i 0.0887791 + 0.0744945i
\(512\) −1.00000 −0.0441942
\(513\) −0.114685 37.5600i −0.00506346 1.65832i
\(514\) −11.5288 −0.508512
\(515\) 36.2988 + 30.4583i 1.59951 + 1.34215i
\(516\) 11.1269 4.04985i 0.489833 0.178285i
\(517\) −0.205925 1.16786i −0.00905656 0.0513623i
\(518\) 1.29334 7.33492i 0.0568263 0.322278i
\(519\) −15.0059 5.46170i −0.658685 0.239742i
\(520\) 11.3091 + 19.5879i 0.495936 + 0.858986i
\(521\) −8.06477 + 13.9686i −0.353324 + 0.611975i −0.986830 0.161763i \(-0.948282\pi\)
0.633506 + 0.773738i \(0.281615\pi\)
\(522\) 9.40746 7.89380i 0.411754 0.345502i
\(523\) 19.1460 16.0654i 0.837195 0.702490i −0.119736 0.992806i \(-0.538205\pi\)
0.956931 + 0.290316i \(0.0937604\pi\)
\(524\) −1.95198 + 3.38093i −0.0852728 + 0.147697i
\(525\) 20.2827 + 35.1306i 0.885209 + 1.53323i
\(526\) −5.01924 1.82685i −0.218849 0.0796546i
\(527\) −1.62479 + 9.21462i −0.0707768 + 0.401395i
\(528\) −0.187564 1.06373i −0.00816267 0.0462928i
\(529\) 18.6341 6.78224i 0.810176 0.294880i
\(530\) −38.8190 32.5730i −1.68619 1.41488i
\(531\) −4.57888 −0.198706
\(532\) 1.47832 4.10056i 0.0640932 0.177782i
\(533\) −14.2297 −0.616359
\(534\) −16.0493 13.4670i −0.694521 0.582772i
\(535\) −14.5830 + 5.30779i −0.630479 + 0.229476i
\(536\) −0.453621 2.57261i −0.0195935 0.111120i
\(537\) −10.0035 + 56.7329i −0.431685 + 2.44821i
\(538\) 24.5841 + 8.94787i 1.05989 + 0.385770i
\(539\) −0.181133 0.313732i −0.00780195 0.0135134i
\(540\) −18.5840 + 32.1884i −0.799726 + 1.38517i
\(541\) −8.72608 + 7.32205i −0.375164 + 0.314800i −0.810800 0.585323i \(-0.800968\pi\)
0.435637 + 0.900123i \(0.356523\pi\)
\(542\) 15.5358 13.0360i 0.667318 0.559946i
\(543\) −14.1707 + 24.5444i −0.608124 + 1.05330i
\(544\) −2.31500 4.00970i −0.0992548 0.171914i
\(545\) −44.1986 16.0870i −1.89326 0.689091i
\(546\) −2.71495 + 15.3972i −0.116189 + 0.658941i
\(547\) −4.32057 24.5032i −0.184734 1.04768i −0.926296 0.376796i \(-0.877026\pi\)
0.741562 0.670885i \(-0.234085\pi\)
\(548\) 10.2228 3.72080i 0.436698 0.158945i
\(549\) −48.4689 40.6702i −2.06860 1.73576i
\(550\) −4.92870 −0.210160
\(551\) −3.08227 + 8.54959i −0.131309 + 0.364225i
\(552\) 5.30866 0.225951
\(553\) −0.424805 0.356454i −0.0180645 0.0151580i
\(554\) 29.2930 10.6618i 1.24454 0.452975i
\(555\) −16.6334 94.3329i −0.706050 4.00421i
\(556\) 2.09888 11.9033i 0.0890122 0.504813i
\(557\) −10.4852 3.81630i −0.444272 0.161702i 0.110190 0.993910i \(-0.464854\pi\)
−0.554463 + 0.832209i \(0.687076\pi\)
\(558\) 5.95157 + 10.3084i 0.251950 + 0.436390i
\(559\) 10.4123 18.0346i 0.440393 0.762783i
\(560\) −3.30423 + 2.77258i −0.139629 + 0.117163i
\(561\) 3.83101 3.21460i 0.161746 0.135721i
\(562\) −3.00455 + 5.20403i −0.126739 + 0.219519i
\(563\) 9.42519 + 16.3249i 0.397224 + 0.688013i 0.993382 0.114854i \(-0.0366402\pi\)
−0.596158 + 0.802867i \(0.703307\pi\)
\(564\) −9.17165 3.33821i −0.386196 0.140564i
\(565\) 3.21611 18.2395i 0.135303 0.767340i
\(566\) −2.13530 12.1099i −0.0897533 0.509016i
\(567\) −7.53843 + 2.74376i −0.316584 + 0.115227i
\(568\) 11.1406 + 9.34806i 0.467449 + 0.392236i
\(569\) −37.7923 −1.58434 −0.792168 0.610303i \(-0.791048\pi\)
−0.792168 + 0.610303i \(0.791048\pi\)
\(570\) −0.171168 56.0587i −0.00716945 2.34804i
\(571\) −10.6904 −0.447380 −0.223690 0.974660i \(-0.571810\pi\)
−0.223690 + 0.974660i \(0.571810\pi\)
\(572\) −1.45520 1.22106i −0.0608448 0.0510549i
\(573\) −45.8188 + 16.6767i −1.91411 + 0.696678i
\(574\) −0.471224 2.67244i −0.0196685 0.111546i
\(575\) 4.20637 23.8555i 0.175418 0.994844i
\(576\) −5.53480 2.01450i −0.230617 0.0839376i
\(577\) −10.3345 17.8998i −0.430229 0.745179i 0.566663 0.823949i \(-0.308234\pi\)
−0.996893 + 0.0787701i \(0.974901\pi\)
\(578\) 2.21844 3.84245i 0.0922749 0.159825i
\(579\) −2.08192 + 1.74694i −0.0865216 + 0.0726002i
\(580\) 6.88927 5.78078i 0.286061 0.240034i
\(581\) 2.53155 4.38478i 0.105027 0.181911i
\(582\) 2.07010 + 3.58552i 0.0858085 + 0.148625i
\(583\) 3.99933 + 1.45564i 0.165635 + 0.0602863i
\(584\) −0.454923 + 2.57999i −0.0188248 + 0.106761i
\(585\) 23.1336 + 131.197i 0.956457 + 5.42434i
\(586\) 3.78372 1.37716i 0.156304 0.0568900i
\(587\) 7.13202 + 5.98448i 0.294370 + 0.247006i 0.777996 0.628269i \(-0.216236\pi\)
−0.483626 + 0.875275i \(0.660681\pi\)
\(588\) −2.98161 −0.122960
\(589\) −7.64215 4.38114i −0.314889 0.180522i
\(590\) −3.35320 −0.138049
\(591\) 63.3321 + 53.1420i 2.60514 + 2.18597i
\(592\) 6.99890 2.54739i 0.287653 0.104697i
\(593\) −7.31442 41.4822i −0.300367 1.70347i −0.644547 0.764564i \(-0.722954\pi\)
0.344180 0.938904i \(-0.388157\pi\)
\(594\) 0.542062 3.07419i 0.0222411 0.126135i
\(595\) −18.7665 6.83045i −0.769352 0.280021i
\(596\) 9.90643 + 17.1584i 0.405783 + 0.702837i
\(597\) −9.82166 + 17.0116i −0.401974 + 0.696239i
\(598\) 7.15200 6.00124i 0.292467 0.245409i
\(599\) −16.5251 + 13.8662i −0.675196 + 0.566557i −0.914598 0.404363i \(-0.867493\pi\)
0.239402 + 0.970921i \(0.423049\pi\)
\(600\) −20.2827 + 35.1306i −0.828037 + 1.43420i
\(601\) −8.73920 15.1367i −0.356479 0.617440i 0.630891 0.775872i \(-0.282690\pi\)
−0.987370 + 0.158432i \(0.949356\pi\)
\(602\) 3.73183 + 1.35828i 0.152098 + 0.0553592i
\(603\) 2.67184 15.1527i 0.108806 0.617067i
\(604\) 2.83537 + 16.0802i 0.115369 + 0.654292i
\(605\) −44.0537 + 16.0343i −1.79104 + 0.651885i
\(606\) −0.636462 0.534055i −0.0258545 0.0216945i
\(607\) −13.8157 −0.560763 −0.280381 0.959889i \(-0.590461\pi\)
−0.280381 + 0.959889i \(0.590461\pi\)
\(608\) 4.29035 0.770018i 0.173997 0.0312284i
\(609\) 6.21661 0.251910
\(610\) −35.4947 29.7836i −1.43714 1.20590i
\(611\) −16.1301 + 5.87087i −0.652553 + 0.237510i
\(612\) −4.73552 26.8564i −0.191422 1.08561i
\(613\) 6.21398 35.2412i 0.250980 1.42338i −0.555203 0.831715i \(-0.687360\pi\)
0.806184 0.591666i \(-0.201529\pi\)
\(614\) −21.3132 7.75736i −0.860130 0.313062i
\(615\) −17.4500 30.2243i −0.703652 1.21876i
\(616\) 0.181133 0.313732i 0.00729806 0.0126406i
\(617\) −21.6082 + 18.1314i −0.869913 + 0.729944i −0.964080 0.265613i \(-0.914426\pi\)
0.0941668 + 0.995556i \(0.469981\pi\)
\(618\) −25.0915 + 21.0542i −1.00933 + 0.846926i
\(619\) 17.7373 30.7219i 0.712922 1.23482i −0.250833 0.968030i \(-0.580705\pi\)
0.963756 0.266787i \(-0.0859620\pi\)
\(620\) 4.35845 + 7.54906i 0.175040 + 0.303177i
\(621\) 14.4168 + 5.24730i 0.578528 + 0.210567i
\(622\) −2.93527 + 16.6467i −0.117694 + 0.667474i
\(623\) −1.22017 6.91994i −0.0488851 0.277241i
\(624\) −14.6919 + 5.34740i −0.588146 + 0.214067i
\(625\) 70.5335 + 59.1847i 2.82134 + 2.36739i
\(626\) 1.39972 0.0559441
\(627\) 1.62380 + 4.41933i 0.0648485 + 0.176491i
\(628\) −5.37439 −0.214462
\(629\) 26.4167 + 22.1662i 1.05330 + 0.883826i
\(630\) −23.8737 + 8.68930i −0.951150 + 0.346190i
\(631\) 7.57746 + 42.9739i 0.301654 + 1.71076i 0.638852 + 0.769330i \(0.279410\pi\)
−0.337198 + 0.941434i \(0.609479\pi\)
\(632\) 0.0962955 0.546119i 0.00383043 0.0217234i
\(633\) 11.0106 + 4.00755i 0.437634 + 0.159286i
\(634\) 5.47360 + 9.48056i 0.217385 + 0.376521i
\(635\) −23.8149 + 41.2486i −0.945066 + 1.63690i
\(636\) 26.8336 22.5161i 1.06402 0.892820i
\(637\) −4.01693 + 3.37060i −0.159156 + 0.133548i
\(638\) −0.377659 + 0.654125i −0.0149517 + 0.0258971i
\(639\) 42.8292 + 74.1824i 1.69430 + 2.93461i
\(640\) −4.05324 1.47526i −0.160219 0.0583148i
\(641\) −0.783984 + 4.44620i −0.0309655 + 0.175614i −0.996368 0.0851495i \(-0.972863\pi\)
0.965403 + 0.260764i \(0.0839743\pi\)
\(642\) −1.86280 10.5645i −0.0735189 0.416946i
\(643\) 4.06840 1.48078i 0.160442 0.0583961i −0.260551 0.965460i \(-0.583904\pi\)
0.420992 + 0.907064i \(0.361682\pi\)
\(644\) 1.36391 + 1.14446i 0.0537458 + 0.0450981i
\(645\) 51.0745 2.01106
\(646\) 13.0197 + 15.4204i 0.512253 + 0.606707i
\(647\) 21.4445 0.843071 0.421535 0.906812i \(-0.361491\pi\)
0.421535 + 0.906812i \(0.361491\pi\)
\(648\) −6.14538 5.15659i −0.241413 0.202570i
\(649\) 0.264641 0.0963213i 0.0103881 0.00378094i
\(650\) 12.3884 + 70.2580i 0.485912 + 2.75575i
\(651\) −1.04632 + 5.93400i −0.0410087 + 0.232572i
\(652\) 4.09271 + 1.48962i 0.160283 + 0.0583382i
\(653\) −18.3578 31.7967i −0.718397 1.24430i −0.961635 0.274333i \(-0.911543\pi\)
0.243238 0.969967i \(-0.421790\pi\)
\(654\) 16.2565 28.1571i 0.635680 1.10103i
\(655\) −12.8996 + 10.8241i −0.504030 + 0.422931i
\(656\) 2.07879 1.74431i 0.0811632 0.0681040i
\(657\) −7.71532 + 13.3633i −0.301003 + 0.521353i
\(658\) −1.63674 2.83492i −0.0638069 0.110517i
\(659\) −19.7238 7.17889i −0.768331 0.279650i −0.0720331 0.997402i \(-0.522949\pi\)
−0.696298 + 0.717752i \(0.745171\pi\)
\(660\) 0.809033 4.58825i 0.0314916 0.178598i
\(661\) −0.176882 1.00315i −0.00687990 0.0390179i 0.981175 0.193123i \(-0.0618617\pi\)
−0.988054 + 0.154105i \(0.950751\pi\)
\(662\) 2.93544 1.06841i 0.114089 0.0415250i
\(663\) −55.4531 46.5307i −2.15362 1.80710i
\(664\) 5.06311 0.196487
\(665\) 12.0414 14.4397i 0.466944 0.559946i
\(666\) 43.8692 1.69990
\(667\) −2.84374 2.38618i −0.110110 0.0923932i
\(668\) 22.4973 8.18834i 0.870445 0.316816i
\(669\) 7.95686 + 45.1256i 0.307630 + 1.74466i
\(670\) 1.95664 11.0966i 0.0755915 0.428701i
\(671\) 3.65684 + 1.33098i 0.141171 + 0.0513820i
\(672\) −1.49081 2.58215i −0.0575091 0.0996087i
\(673\) 22.7320 39.3730i 0.876256 1.51772i 0.0208367 0.999783i \(-0.493367\pi\)
0.855419 0.517937i \(-0.173300\pi\)
\(674\) 2.81063 2.35840i 0.108262 0.0908422i
\(675\) −89.8068 + 75.3569i −3.45667 + 2.90049i
\(676\) −7.24833 + 12.5545i −0.278782 + 0.482865i
\(677\) −16.9751 29.4017i −0.652405 1.13000i −0.982538 0.186063i \(-0.940427\pi\)
0.330133 0.943934i \(-0.392906\pi\)
\(678\) 12.0304 + 4.37871i 0.462025 + 0.168164i
\(679\) −0.241124 + 1.36748i −0.00925349 + 0.0524792i
\(680\) −3.46791 19.6675i −0.132988 0.754214i
\(681\) 43.7221 15.9135i 1.67543 0.609808i
\(682\) −0.560824 0.470587i −0.0214751 0.0180197i
\(683\) −1.09066 −0.0417330 −0.0208665 0.999782i \(-0.506643\pi\)
−0.0208665 + 0.999782i \(0.506643\pi\)
\(684\) 25.2974 + 4.38102i 0.967271 + 0.167512i
\(685\) 46.9248 1.79290
\(686\) −0.766044 0.642788i −0.0292477 0.0245417i
\(687\) 25.1142 9.14081i 0.958166 0.348744i
\(688\) 0.689615 + 3.91100i 0.0262913 + 0.149105i
\(689\) 10.6975 60.6688i 0.407544 2.31130i
\(690\) 21.5173 + 7.83165i 0.819149 + 0.298146i
\(691\) 14.3121 + 24.7893i 0.544459 + 0.943031i 0.998641 + 0.0521216i \(0.0165984\pi\)
−0.454182 + 0.890909i \(0.650068\pi\)
\(692\) 2.67790 4.63826i 0.101799 0.176320i
\(693\) 1.63455 1.37155i 0.0620914 0.0521009i
\(694\) 10.9282 9.16984i 0.414828 0.348082i
\(695\) 26.0678 45.1507i 0.988806 1.71266i
\(696\) 3.10830 + 5.38374i 0.117820 + 0.204070i
\(697\) 11.8066 + 4.29724i 0.447206 + 0.162770i
\(698\) 0.555540 3.15063i 0.0210275 0.119253i
\(699\) −7.88379 44.7112i −0.298192 1.69113i
\(700\) −12.7847 + 4.65324i −0.483216 + 0.175876i
\(701\) −24.1259 20.2440i −0.911223 0.764607i 0.0611283 0.998130i \(-0.480530\pi\)
−0.972351 + 0.233523i \(0.924975\pi\)
\(702\) −45.1847 −1.70539
\(703\) −28.0662 + 16.3185i −1.05854 + 0.615463i
\(704\) 0.362266 0.0136534
\(705\) −32.2502 27.0611i −1.21461 1.01918i
\(706\) −2.78617 + 1.01408i −0.104859 + 0.0381656i
\(707\) −0.0483880 0.274422i −0.00181982 0.0103207i
\(708\) 0.402498 2.28268i 0.0151268 0.0857885i
\(709\) 2.80884 + 1.02234i 0.105488 + 0.0383946i 0.394225 0.919014i \(-0.371013\pi\)
−0.288737 + 0.957409i \(0.593235\pi\)
\(710\) 31.3647 + 54.3252i 1.17710 + 2.03879i
\(711\) 1.63313 2.82867i 0.0612473 0.106083i
\(712\) 5.38275 4.51667i 0.201727 0.169269i
\(713\) 2.75634 2.31284i 0.103226 0.0866166i
\(714\) 6.90243 11.9554i 0.258317 0.447418i
\(715\) −4.09689 7.09603i −0.153215 0.265376i
\(716\) −18.1559 6.60821i −0.678519 0.246961i
\(717\) −9.78907 + 55.5166i −0.365579 + 2.07330i
\(718\) 3.56651 + 20.2267i 0.133101 + 0.754853i
\(719\) 47.6946 17.3594i 1.77871 0.647397i 0.778915 0.627130i \(-0.215771\pi\)
0.999795 0.0202671i \(-0.00645167\pi\)
\(720\) −19.4620 16.3305i −0.725306 0.608604i
\(721\) −10.9855 −0.409122
\(722\) −17.8141 + 6.60729i −0.662974 + 0.245898i
\(723\) −55.7256 −2.07246
\(724\) −7.28156 6.10996i −0.270617 0.227075i
\(725\) 26.6558 9.70193i 0.989973 0.360321i
\(726\) −5.62732 31.9141i −0.208849 1.18444i
\(727\) 7.72551 43.8135i 0.286523 1.62495i −0.413270 0.910609i \(-0.635613\pi\)
0.699793 0.714346i \(-0.253276\pi\)
\(728\) −4.92749 1.79346i −0.182625 0.0664701i
\(729\) 14.9129 + 25.8299i 0.552329 + 0.956662i
\(730\) −5.65008 + 9.78622i −0.209119 + 0.362204i
\(731\) −14.0855 + 11.8191i −0.520970 + 0.437145i
\(732\) 24.5357 20.5879i 0.906864 0.760950i
\(733\) 12.3137 21.3280i 0.454818 0.787767i −0.543860 0.839176i \(-0.683038\pi\)
0.998678 + 0.0514086i \(0.0163711\pi\)
\(734\) −4.61491 7.99325i −0.170339 0.295036i
\(735\) −12.0852 4.39865i −0.445769 0.162247i
\(736\) −0.309174 + 1.75342i −0.0113963 + 0.0646317i
\(737\) 0.164332 + 0.931971i 0.00605324 + 0.0343296i
\(738\) 15.0196 5.46670i 0.552880 0.201232i
\(739\) −22.9520 19.2590i −0.844301 0.708453i 0.114226 0.993455i \(-0.463561\pi\)
−0.958527 + 0.285002i \(0.908006\pi\)
\(740\) 32.1263 1.18099
\(741\) 58.9156 34.2552i 2.16432 1.25840i
\(742\) 11.7483 0.431292
\(743\) 7.23748 + 6.07297i 0.265517 + 0.222796i 0.765820 0.643055i \(-0.222333\pi\)
−0.500302 + 0.865851i \(0.666778\pi\)
\(744\) −5.66216 + 2.06086i −0.207585 + 0.0755547i
\(745\) 14.8400 + 84.1619i 0.543696 + 3.08345i
\(746\) 3.22533 18.2918i 0.118088 0.669709i
\(747\) 28.0233 + 10.1997i 1.02532 + 0.373186i
\(748\) 0.838646 + 1.45258i 0.0306639 + 0.0531115i
\(749\) 1.79893 3.11584i 0.0657316 0.113850i
\(750\) −84.7778 + 71.1370i −3.09565 + 2.59756i
\(751\) −6.77624 + 5.68594i −0.247269 + 0.207483i −0.757995 0.652260i \(-0.773821\pi\)
0.510727 + 0.859743i \(0.329376\pi\)
\(752\) 1.63674 2.83492i 0.0596859 0.103379i
\(753\) −26.1434 45.2818i −0.952720 1.65016i
\(754\) 10.2737 + 3.73933i 0.374147 + 0.136178i
\(755\) −12.2300 + 69.3597i −0.445095 + 2.52426i
\(756\) −1.49631 8.48599i −0.0544203 0.308633i
\(757\) −21.5231 + 7.83377i −0.782271 + 0.284723i −0.702119 0.712059i \(-0.747763\pi\)
−0.0801517 + 0.996783i \(0.525540\pi\)
\(758\) −6.03116 5.06074i −0.219061 0.183814i
\(759\) −1.92315 −0.0698058
\(760\) 18.5258 + 3.20830i 0.672001 + 0.116377i
\(761\) 20.6868 0.749894 0.374947 0.927046i \(-0.377661\pi\)
0.374947 + 0.927046i \(0.377661\pi\)
\(762\) −25.2213 21.1632i −0.913671 0.766661i
\(763\) 10.2469 3.72956i 0.370962 0.135019i
\(764\) −2.83973 16.1049i −0.102738 0.582655i
\(765\) 20.4260 115.842i 0.738505 4.18827i
\(766\) 13.7714 + 5.01238i 0.497581 + 0.181105i
\(767\) −2.03823 3.53031i −0.0735962 0.127472i
\(768\) 1.49081 2.58215i 0.0537948 0.0931754i
\(769\) 2.72164 2.28373i 0.0981450 0.0823534i −0.592395 0.805648i \(-0.701817\pi\)
0.690540 + 0.723294i \(0.257373\pi\)
\(770\) 1.19701 1.00441i 0.0431373 0.0361965i
\(771\) 17.1872 29.7690i 0.618980 1.07211i
\(772\) −0.455752