Properties

Label 91.2.ba.a.89.5
Level $91$
Weight $2$
Character 91.89
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 89.5
Character \(\chi\) \(=\) 91.89
Dual form 91.2.ba.a.45.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.490988 + 0.490988i) q^{2} +(-2.71085 - 1.56511i) q^{3} -1.51786i q^{4} +(-0.00962681 - 0.0359277i) q^{5} +(-0.562545 - 2.09944i) q^{6} +(-0.176775 - 2.63984i) q^{7} +(1.72723 - 1.72723i) q^{8} +(3.39913 + 5.88747i) q^{9} +O(q^{10})\) \(q+(0.490988 + 0.490988i) q^{2} +(-2.71085 - 1.56511i) q^{3} -1.51786i q^{4} +(-0.00962681 - 0.0359277i) q^{5} +(-0.562545 - 2.09944i) q^{6} +(-0.176775 - 2.63984i) q^{7} +(1.72723 - 1.72723i) q^{8} +(3.39913 + 5.88747i) q^{9} +(0.0129135 - 0.0223668i) q^{10} +(0.292106 + 1.09015i) q^{11} +(-2.37562 + 4.11469i) q^{12} +(-3.58326 + 0.400306i) q^{13} +(1.20934 - 1.38292i) q^{14} +(-0.0301340 + 0.112462i) q^{15} -1.33962 q^{16} +6.40192 q^{17} +(-1.22174 + 4.55961i) q^{18} +(3.56070 + 0.954087i) q^{19} +(-0.0545333 + 0.0146122i) q^{20} +(-3.65243 + 7.43288i) q^{21} +(-0.391832 + 0.678673i) q^{22} -2.79435i q^{23} +(-7.38555 + 1.97895i) q^{24} +(4.32893 - 2.49931i) q^{25} +(-1.95588 - 1.56279i) q^{26} -11.8894i q^{27} +(-4.00691 + 0.268320i) q^{28} +(1.84998 + 3.20426i) q^{29} +(-0.0700128 + 0.0404219i) q^{30} +(-2.63716 - 0.706626i) q^{31} +(-4.11220 - 4.11220i) q^{32} +(0.914355 - 3.41242i) q^{33} +(3.14327 + 3.14327i) q^{34} +(-0.0931417 + 0.0317644i) q^{35} +(8.93636 - 5.15941i) q^{36} +(-3.94724 + 3.94724i) q^{37} +(1.27982 + 2.21671i) q^{38} +(10.3402 + 4.52302i) q^{39} +(-0.0786831 - 0.0454277i) q^{40} +(-0.188789 - 0.0505859i) q^{41} +(-5.44275 + 1.85616i) q^{42} +(1.84817 + 1.06704i) q^{43} +(1.65470 - 0.443376i) q^{44} +(0.178801 - 0.178801i) q^{45} +(1.37199 - 1.37199i) q^{46} +(5.43116 - 1.45527i) q^{47} +(3.63152 + 2.09666i) q^{48} +(-6.93750 + 0.933315i) q^{49} +(3.35258 + 0.898322i) q^{50} +(-17.3546 - 10.0197i) q^{51} +(0.607609 + 5.43889i) q^{52} +(-0.295822 - 0.512378i) q^{53} +(5.83755 - 5.83755i) q^{54} +(0.0363547 - 0.0209894i) q^{55} +(-4.86494 - 4.25427i) q^{56} +(-8.15927 - 8.15927i) q^{57} +(-0.664935 + 2.48157i) q^{58} +(7.97051 + 7.97051i) q^{59} +(0.170701 + 0.0457393i) q^{60} +(-1.18838 + 0.686113i) q^{61} +(-0.947871 - 1.64176i) q^{62} +(14.9411 - 10.0139i) q^{63} -1.35883i q^{64} +(0.0488775 + 0.124885i) q^{65} +(2.12439 - 1.22652i) q^{66} +(-7.28639 + 1.95238i) q^{67} -9.71723i q^{68} +(-4.37346 + 7.57505i) q^{69} +(-0.0613274 - 0.0301356i) q^{70} +(-9.88214 + 2.64791i) q^{71} +(16.0401 + 4.29793i) q^{72} +(0.707590 - 2.64076i) q^{73} -3.87610 q^{74} -15.6468 q^{75} +(1.44817 - 5.40465i) q^{76} +(2.82619 - 0.963824i) q^{77} +(2.85616 + 7.29767i) q^{78} +(-1.63129 + 2.82548i) q^{79} +(0.0128963 + 0.0481297i) q^{80} +(-8.41080 + 14.5679i) q^{81} +(-0.0678562 - 0.117530i) q^{82} +(-4.92754 + 4.92754i) q^{83} +(11.2821 + 5.54387i) q^{84} +(-0.0616301 - 0.230007i) q^{85} +(0.383525 + 1.43133i) q^{86} -11.5817i q^{87} +(2.38748 + 1.37841i) q^{88} +(11.9122 + 11.9122i) q^{89} +0.175578 q^{90} +(1.69017 + 9.38847i) q^{91} -4.24143 q^{92} +(6.04300 + 6.04300i) q^{93} +(3.38116 + 1.95211i) q^{94} -0.137113i q^{95} +(4.71151 + 17.5836i) q^{96} +(-0.663884 - 2.47765i) q^{97} +(-3.86448 - 2.94799i) q^{98} +(-5.42534 + 5.42534i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.490988 + 0.490988i 0.347181 + 0.347181i 0.859059 0.511877i \(-0.171050\pi\)
−0.511877 + 0.859059i \(0.671050\pi\)
\(3\) −2.71085 1.56511i −1.56511 0.903616i −0.996726 0.0808518i \(-0.974236\pi\)
−0.568383 0.822764i \(-0.692431\pi\)
\(4\) 1.51786i 0.758931i
\(5\) −0.00962681 0.0359277i −0.00430524 0.0160674i 0.963740 0.266844i \(-0.0859808\pi\)
−0.968045 + 0.250776i \(0.919314\pi\)
\(6\) −0.562545 2.09944i −0.229658 0.857095i
\(7\) −0.176775 2.63984i −0.0668147 0.997765i
\(8\) 1.72723 1.72723i 0.610667 0.610667i
\(9\) 3.39913 + 5.88747i 1.13304 + 1.96249i
\(10\) 0.0129135 0.0223668i 0.00408359 0.00707299i
\(11\) 0.292106 + 1.09015i 0.0880732 + 0.328694i 0.995878 0.0906984i \(-0.0289099\pi\)
−0.907805 + 0.419392i \(0.862243\pi\)
\(12\) −2.37562 + 4.11469i −0.685782 + 1.18781i
\(13\) −3.58326 + 0.400306i −0.993818 + 0.111025i
\(14\) 1.20934 1.38292i 0.323209 0.369602i
\(15\) −0.0301340 + 0.112462i −0.00778057 + 0.0290375i
\(16\) −1.33962 −0.334906
\(17\) 6.40192 1.55269 0.776347 0.630306i \(-0.217070\pi\)
0.776347 + 0.630306i \(0.217070\pi\)
\(18\) −1.22174 + 4.55961i −0.287968 + 1.07471i
\(19\) 3.56070 + 0.954087i 0.816881 + 0.218883i 0.642982 0.765881i \(-0.277697\pi\)
0.173899 + 0.984764i \(0.444363\pi\)
\(20\) −0.0545333 + 0.0146122i −0.0121940 + 0.00326738i
\(21\) −3.65243 + 7.43288i −0.797025 + 1.62199i
\(22\) −0.391832 + 0.678673i −0.0835389 + 0.144694i
\(23\) 2.79435i 0.582661i −0.956622 0.291331i \(-0.905902\pi\)
0.956622 0.291331i \(-0.0940980\pi\)
\(24\) −7.38555 + 1.97895i −1.50757 + 0.403952i
\(25\) 4.32893 2.49931i 0.865786 0.499862i
\(26\) −1.95588 1.56279i −0.383580 0.306489i
\(27\) 11.8894i 2.28811i
\(28\) −4.00691 + 0.268320i −0.757235 + 0.0507077i
\(29\) 1.84998 + 3.20426i 0.343532 + 0.595015i 0.985086 0.172063i \(-0.0550432\pi\)
−0.641554 + 0.767078i \(0.721710\pi\)
\(30\) −0.0700128 + 0.0404219i −0.0127825 + 0.00738000i
\(31\) −2.63716 0.706626i −0.473648 0.126914i 0.0140952 0.999901i \(-0.495513\pi\)
−0.487744 + 0.872987i \(0.662180\pi\)
\(32\) −4.11220 4.11220i −0.726941 0.726941i
\(33\) 0.914355 3.41242i 0.159169 0.594026i
\(34\) 3.14327 + 3.14327i 0.539066 + 0.539066i
\(35\) −0.0931417 + 0.0317644i −0.0157438 + 0.00536916i
\(36\) 8.93636 5.15941i 1.48939 0.859902i
\(37\) −3.94724 + 3.94724i −0.648923 + 0.648923i −0.952733 0.303810i \(-0.901741\pi\)
0.303810 + 0.952733i \(0.401741\pi\)
\(38\) 1.27982 + 2.21671i 0.207614 + 0.359598i
\(39\) 10.3402 + 4.52302i 1.65576 + 0.724263i
\(40\) −0.0786831 0.0454277i −0.0124409 0.00718275i
\(41\) −0.188789 0.0505859i −0.0294839 0.00790020i 0.244047 0.969763i \(-0.421525\pi\)
−0.273531 + 0.961863i \(0.588192\pi\)
\(42\) −5.44275 + 1.85616i −0.839835 + 0.286411i
\(43\) 1.84817 + 1.06704i 0.281843 + 0.162722i 0.634258 0.773122i \(-0.281306\pi\)
−0.352414 + 0.935844i \(0.614639\pi\)
\(44\) 1.65470 0.443376i 0.249456 0.0668414i
\(45\) 0.178801 0.178801i 0.0266540 0.0266540i
\(46\) 1.37199 1.37199i 0.202289 0.202289i
\(47\) 5.43116 1.45527i 0.792215 0.212273i 0.160052 0.987109i \(-0.448834\pi\)
0.632163 + 0.774835i \(0.282167\pi\)
\(48\) 3.63152 + 2.09666i 0.524164 + 0.302627i
\(49\) −6.93750 + 0.933315i −0.991072 + 0.133331i
\(50\) 3.35258 + 0.898322i 0.474127 + 0.127042i
\(51\) −17.3546 10.0197i −2.43014 1.40304i
\(52\) 0.607609 + 5.43889i 0.0842602 + 0.754239i
\(53\) −0.295822 0.512378i −0.0406342 0.0703805i 0.844993 0.534777i \(-0.179605\pi\)
−0.885627 + 0.464397i \(0.846271\pi\)
\(54\) 5.83755 5.83755i 0.794390 0.794390i
\(55\) 0.0363547 0.0209894i 0.00490207 0.00283021i
\(56\) −4.86494 4.25427i −0.650104 0.568501i
\(57\) −8.15927 8.15927i −1.08072 1.08072i
\(58\) −0.664935 + 2.48157i −0.0873102 + 0.325846i
\(59\) 7.97051 + 7.97051i 1.03767 + 1.03767i 0.999262 + 0.0384097i \(0.0122292\pi\)
0.0384097 + 0.999262i \(0.487771\pi\)
\(60\) 0.170701 + 0.0457393i 0.0220374 + 0.00590491i
\(61\) −1.18838 + 0.686113i −0.152157 + 0.0878478i −0.574145 0.818753i \(-0.694666\pi\)
0.421989 + 0.906601i \(0.361332\pi\)
\(62\) −0.947871 1.64176i −0.120380 0.208504i
\(63\) 14.9411 10.0139i 1.88240 1.26164i
\(64\) 1.35883i 0.169854i
\(65\) 0.0488775 + 0.124885i 0.00606250 + 0.0154901i
\(66\) 2.12439 1.22652i 0.261495 0.150974i
\(67\) −7.28639 + 1.95238i −0.890174 + 0.238522i −0.674792 0.738008i \(-0.735767\pi\)
−0.215383 + 0.976530i \(0.569100\pi\)
\(68\) 9.71723i 1.17839i
\(69\) −4.37346 + 7.57505i −0.526502 + 0.911928i
\(70\) −0.0613274 0.0301356i −0.00733003 0.00360189i
\(71\) −9.88214 + 2.64791i −1.17279 + 0.314249i −0.792065 0.610437i \(-0.790994\pi\)
−0.380729 + 0.924686i \(0.624327\pi\)
\(72\) 16.0401 + 4.29793i 1.89034 + 0.506516i
\(73\) 0.707590 2.64076i 0.0828171 0.309078i −0.912075 0.410024i \(-0.865520\pi\)
0.994892 + 0.100946i \(0.0321870\pi\)
\(74\) −3.87610 −0.450588
\(75\) −15.6468 −1.80673
\(76\) 1.44817 5.40465i 0.166117 0.619956i
\(77\) 2.82619 0.963824i 0.322075 0.109838i
\(78\) 2.85616 + 7.29767i 0.323397 + 0.826298i
\(79\) −1.63129 + 2.82548i −0.183535 + 0.317891i −0.943082 0.332561i \(-0.892087\pi\)
0.759547 + 0.650452i \(0.225421\pi\)
\(80\) 0.0128963 + 0.0481297i 0.00144185 + 0.00538106i
\(81\) −8.41080 + 14.5679i −0.934533 + 1.61866i
\(82\) −0.0678562 0.117530i −0.00749347 0.0129791i
\(83\) −4.92754 + 4.92754i −0.540868 + 0.540868i −0.923783 0.382915i \(-0.874920\pi\)
0.382915 + 0.923783i \(0.374920\pi\)
\(84\) 11.2821 + 5.54387i 1.23097 + 0.604886i
\(85\) −0.0616301 0.230007i −0.00668472 0.0249477i
\(86\) 0.383525 + 1.43133i 0.0413565 + 0.154345i
\(87\) 11.5817i 1.24169i
\(88\) 2.38748 + 1.37841i 0.254506 + 0.146939i
\(89\) 11.9122 + 11.9122i 1.26269 + 1.26269i 0.949785 + 0.312903i \(0.101301\pi\)
0.312903 + 0.949785i \(0.398699\pi\)
\(90\) 0.175578 0.0185076
\(91\) 1.69017 + 9.38847i 0.177178 + 0.984179i
\(92\) −4.24143 −0.442199
\(93\) 6.04300 + 6.04300i 0.626630 + 0.626630i
\(94\) 3.38116 + 1.95211i 0.348740 + 0.201345i
\(95\) 0.137113i 0.0140675i
\(96\) 4.71151 + 17.5836i 0.480866 + 1.79462i
\(97\) −0.663884 2.47765i −0.0674072 0.251567i 0.923997 0.382399i \(-0.124902\pi\)
−0.991405 + 0.130832i \(0.958235\pi\)
\(98\) −3.86448 2.94799i −0.390371 0.297791i
\(99\) −5.42534 + 5.42534i −0.545267 + 0.545267i
\(100\) −3.79360 6.57071i −0.379360 0.657071i
\(101\) 2.30855 3.99852i 0.229709 0.397868i −0.728013 0.685564i \(-0.759556\pi\)
0.957722 + 0.287696i \(0.0928892\pi\)
\(102\) −3.60137 13.4405i −0.356588 1.33081i
\(103\) −5.86837 + 10.1643i −0.578227 + 1.00152i 0.417455 + 0.908697i \(0.362922\pi\)
−0.995683 + 0.0928218i \(0.970411\pi\)
\(104\) −5.49769 + 6.88053i −0.539093 + 0.674691i
\(105\) 0.302208 + 0.0596685i 0.0294925 + 0.00582305i
\(106\) 0.106327 0.396817i 0.0103274 0.0385422i
\(107\) 13.0733 1.26385 0.631923 0.775031i \(-0.282266\pi\)
0.631923 + 0.775031i \(0.282266\pi\)
\(108\) −18.0464 −1.73652
\(109\) 3.37504 12.5958i 0.323270 1.20646i −0.592770 0.805372i \(-0.701966\pi\)
0.916040 0.401087i \(-0.131368\pi\)
\(110\) 0.0281553 + 0.00754419i 0.00268450 + 0.000719310i
\(111\) 16.8782 4.52251i 1.60201 0.429258i
\(112\) 0.236812 + 3.53639i 0.0223766 + 0.334158i
\(113\) 1.85773 3.21769i 0.174761 0.302694i −0.765318 0.643653i \(-0.777418\pi\)
0.940078 + 0.340958i \(0.110751\pi\)
\(114\) 8.01221i 0.750413i
\(115\) −0.100395 + 0.0269006i −0.00936184 + 0.00250850i
\(116\) 4.86362 2.80801i 0.451575 0.260717i
\(117\) −14.5368 19.7356i −1.34392 1.82456i
\(118\) 7.82685i 0.720520i
\(119\) −1.13170 16.9000i −0.103743 1.54922i
\(120\) 0.142199 + 0.246295i 0.0129809 + 0.0224836i
\(121\) 8.42317 4.86312i 0.765743 0.442102i
\(122\) −0.920356 0.246609i −0.0833251 0.0223269i
\(123\) 0.432607 + 0.432607i 0.0390068 + 0.0390068i
\(124\) −1.07256 + 4.00285i −0.0963187 + 0.359466i
\(125\) −0.262973 0.262973i −0.0235210 0.0235210i
\(126\) 12.2526 + 2.41918i 1.09155 + 0.215518i
\(127\) 2.47692 1.43005i 0.219791 0.126897i −0.386062 0.922473i \(-0.626165\pi\)
0.605854 + 0.795576i \(0.292832\pi\)
\(128\) −7.55722 + 7.55722i −0.667970 + 0.667970i
\(129\) −3.34007 5.78517i −0.294077 0.509356i
\(130\) −0.0373187 + 0.0853152i −0.00327307 + 0.00748264i
\(131\) 0.119788 + 0.0691595i 0.0104659 + 0.00604249i 0.505224 0.862988i \(-0.331410\pi\)
−0.494758 + 0.869031i \(0.664743\pi\)
\(132\) −5.17958 1.38786i −0.450824 0.120798i
\(133\) 1.88919 9.56834i 0.163814 0.829680i
\(134\) −4.53613 2.61894i −0.391862 0.226242i
\(135\) −0.427159 + 0.114457i −0.0367640 + 0.00985089i
\(136\) 11.0576 11.0576i 0.948180 0.948180i
\(137\) −12.0623 + 12.0623i −1.03055 + 1.03055i −0.0310355 + 0.999518i \(0.509880\pi\)
−0.999518 + 0.0310355i \(0.990120\pi\)
\(138\) −5.86657 + 1.57194i −0.499396 + 0.133813i
\(139\) −13.3885 7.72988i −1.13560 0.655640i −0.190264 0.981733i \(-0.560934\pi\)
−0.945338 + 0.326093i \(0.894268\pi\)
\(140\) 0.0482139 + 0.141376i 0.00407482 + 0.0119485i
\(141\) −17.0007 4.55532i −1.43172 0.383627i
\(142\) −6.15211 3.55192i −0.516273 0.298071i
\(143\) −1.48309 3.78937i −0.124022 0.316883i
\(144\) −4.55356 7.88700i −0.379463 0.657250i
\(145\) 0.0973123 0.0973123i 0.00808135 0.00808135i
\(146\) 1.64400 0.949165i 0.136059 0.0785534i
\(147\) 20.2673 + 8.32787i 1.67161 + 0.686871i
\(148\) 5.99137 + 5.99137i 0.492487 + 0.492487i
\(149\) −1.47392 + 5.50075i −0.120748 + 0.450639i −0.999653 0.0263595i \(-0.991609\pi\)
0.878904 + 0.476998i \(0.158275\pi\)
\(150\) −7.68237 7.68237i −0.627263 0.627263i
\(151\) 19.9927 + 5.35703i 1.62698 + 0.435949i 0.953042 0.302838i \(-0.0979340\pi\)
0.673940 + 0.738786i \(0.264601\pi\)
\(152\) 7.79807 4.50222i 0.632507 0.365178i
\(153\) 21.7610 + 37.6911i 1.75927 + 3.04715i
\(154\) 1.86085 + 0.914401i 0.149952 + 0.0736846i
\(155\) 0.101550i 0.00815668i
\(156\) 6.86532 15.6950i 0.549666 1.25660i
\(157\) 8.02263 4.63187i 0.640275 0.369663i −0.144445 0.989513i \(-0.546140\pi\)
0.784721 + 0.619850i \(0.212806\pi\)
\(158\) −2.18822 + 0.586332i −0.174086 + 0.0466461i
\(159\) 1.85197i 0.146871i
\(160\) −0.108155 + 0.187329i −0.00855037 + 0.0148097i
\(161\) −7.37662 + 0.493970i −0.581359 + 0.0389303i
\(162\) −11.2823 + 3.02308i −0.886420 + 0.237516i
\(163\) −3.97880 1.06612i −0.311644 0.0835047i 0.0996072 0.995027i \(-0.468241\pi\)
−0.411251 + 0.911522i \(0.634908\pi\)
\(164\) −0.0767824 + 0.286556i −0.00599570 + 0.0223763i
\(165\) −0.131403 −0.0102297
\(166\) −4.83873 −0.375558
\(167\) −4.15955 + 15.5237i −0.321876 + 1.20126i 0.595540 + 0.803326i \(0.296938\pi\)
−0.917415 + 0.397931i \(0.869728\pi\)
\(168\) 6.52970 + 19.1468i 0.503777 + 1.47721i
\(169\) 12.6795 2.86880i 0.975347 0.220677i
\(170\) 0.0826709 0.143190i 0.00634057 0.0109822i
\(171\) 6.48614 + 24.2066i 0.496007 + 1.85112i
\(172\) 1.61962 2.80526i 0.123495 0.213899i
\(173\) −10.5332 18.2440i −0.800821 1.38706i −0.919076 0.394080i \(-0.871063\pi\)
0.118255 0.992983i \(-0.462270\pi\)
\(174\) 5.68646 5.68646i 0.431090 0.431090i
\(175\) −7.36302 10.9859i −0.556592 0.830453i
\(176\) −0.391312 1.46040i −0.0294963 0.110082i
\(177\) −9.13212 34.0816i −0.686412 2.56173i
\(178\) 11.6975i 0.876763i
\(179\) −7.89629 4.55893i −0.590196 0.340750i 0.174979 0.984572i \(-0.444014\pi\)
−0.765175 + 0.643822i \(0.777348\pi\)
\(180\) −0.271395 0.271395i −0.0202286 0.0202286i
\(181\) 15.7169 1.16823 0.584113 0.811672i \(-0.301443\pi\)
0.584113 + 0.811672i \(0.301443\pi\)
\(182\) −3.77977 + 5.43948i −0.280175 + 0.403201i
\(183\) 4.29537 0.317523
\(184\) −4.82647 4.82647i −0.355812 0.355812i
\(185\) 0.179815 + 0.103816i 0.0132203 + 0.00763272i
\(186\) 5.93409i 0.435108i
\(187\) 1.87004 + 6.97908i 0.136751 + 0.510361i
\(188\) −2.20890 8.24374i −0.161101 0.601236i
\(189\) −31.3861 + 2.10175i −2.28300 + 0.152880i
\(190\) 0.0673208 0.0673208i 0.00488396 0.00488396i
\(191\) 8.65358 + 14.9884i 0.626151 + 1.08453i 0.988317 + 0.152412i \(0.0487039\pi\)
−0.362166 + 0.932114i \(0.617963\pi\)
\(192\) −2.12672 + 3.68359i −0.153483 + 0.265840i
\(193\) −3.25813 12.1595i −0.234525 0.875260i −0.978362 0.206899i \(-0.933663\pi\)
0.743837 0.668361i \(-0.233004\pi\)
\(194\) 0.890537 1.54245i 0.0639368 0.110742i
\(195\) 0.0629589 0.415042i 0.00450858 0.0297218i
\(196\) 1.41664 + 10.5302i 0.101189 + 0.752154i
\(197\) −6.43206 + 24.0048i −0.458265 + 1.71027i 0.220042 + 0.975490i \(0.429381\pi\)
−0.678307 + 0.734778i \(0.737286\pi\)
\(198\) −5.32756 −0.378613
\(199\) −10.5978 −0.751257 −0.375629 0.926770i \(-0.622573\pi\)
−0.375629 + 0.926770i \(0.622573\pi\)
\(200\) 3.16017 11.7939i 0.223458 0.833956i
\(201\) 22.8080 + 6.11138i 1.60875 + 0.431064i
\(202\) 3.09670 0.829758i 0.217883 0.0583815i
\(203\) 8.13169 5.45008i 0.570733 0.382520i
\(204\) −15.2085 + 26.3419i −1.06481 + 1.84430i
\(205\) 0.00726976i 0.000507742i
\(206\) −7.87186 + 2.10926i −0.548458 + 0.146959i
\(207\) 16.4516 9.49835i 1.14347 0.660181i
\(208\) 4.80022 0.536260i 0.332836 0.0371829i
\(209\) 4.16041i 0.287781i
\(210\) 0.119084 + 0.177677i 0.00821757 + 0.0122609i
\(211\) −10.3404 17.9102i −0.711865 1.23299i −0.964156 0.265335i \(-0.914518\pi\)
0.252292 0.967651i \(-0.418816\pi\)
\(212\) −0.777719 + 0.449016i −0.0534139 + 0.0308386i
\(213\) 30.9332 + 8.28854i 2.11951 + 0.567921i
\(214\) 6.41885 + 6.41885i 0.438784 + 0.438784i
\(215\) 0.0205444 0.0766728i 0.00140112 0.00522904i
\(216\) −20.5357 20.5357i −1.39728 1.39728i
\(217\) −1.39919 + 7.08660i −0.0949834 + 0.481070i
\(218\) 7.84149 4.52729i 0.531093 0.306627i
\(219\) −6.05125 + 6.05125i −0.408905 + 0.408905i
\(220\) −0.0318590 0.0551814i −0.00214793 0.00372033i
\(221\) −22.9398 + 2.56273i −1.54309 + 0.172388i
\(222\) 10.5075 + 6.06652i 0.705219 + 0.407158i
\(223\) −3.17269 0.850119i −0.212459 0.0569282i 0.151020 0.988531i \(-0.451744\pi\)
−0.363479 + 0.931603i \(0.618411\pi\)
\(224\) −10.1286 + 11.5825i −0.676746 + 0.773886i
\(225\) 29.4292 + 16.9910i 1.96195 + 1.13273i
\(226\) 2.49197 0.667721i 0.165763 0.0444162i
\(227\) −13.0106 + 13.0106i −0.863541 + 0.863541i −0.991747 0.128207i \(-0.959078\pi\)
0.128207 + 0.991747i \(0.459078\pi\)
\(228\) −12.3846 + 12.3846i −0.820193 + 0.820193i
\(229\) −10.5951 + 2.83894i −0.700142 + 0.187603i −0.591294 0.806456i \(-0.701383\pi\)
−0.108848 + 0.994058i \(0.534716\pi\)
\(230\) −0.0625004 0.0360846i −0.00412116 0.00237935i
\(231\) −9.16987 1.81052i −0.603333 0.119123i
\(232\) 8.72982 + 2.33915i 0.573141 + 0.153573i
\(233\) 7.46970 + 4.31263i 0.489356 + 0.282530i 0.724307 0.689477i \(-0.242160\pi\)
−0.234951 + 0.972007i \(0.575493\pi\)
\(234\) 2.55259 16.8273i 0.166868 1.10004i
\(235\) −0.104569 0.181120i −0.00682136 0.0118149i
\(236\) 12.0981 12.0981i 0.787521 0.787521i
\(237\) 8.84437 5.10630i 0.574503 0.331690i
\(238\) 7.74207 8.85337i 0.501844 0.573879i
\(239\) −5.82164 5.82164i −0.376571 0.376571i 0.493293 0.869863i \(-0.335793\pi\)
−0.869863 + 0.493293i \(0.835793\pi\)
\(240\) 0.0403683 0.150656i 0.00260576 0.00972483i
\(241\) −4.44250 4.44250i −0.286166 0.286166i 0.549396 0.835562i \(-0.314858\pi\)
−0.835562 + 0.549396i \(0.814858\pi\)
\(242\) 6.52341 + 1.74794i 0.419341 + 0.112362i
\(243\) 14.7113 8.49355i 0.943728 0.544861i
\(244\) 1.04142 + 1.80380i 0.0666704 + 0.115476i
\(245\) 0.100318 + 0.240264i 0.00640908 + 0.0153499i
\(246\) 0.424810i 0.0270849i
\(247\) −13.1409 1.99337i −0.836132 0.126835i
\(248\) −5.77549 + 3.33448i −0.366744 + 0.211740i
\(249\) 21.0700 5.64568i 1.33525 0.357780i
\(250\) 0.258233i 0.0163321i
\(251\) 5.23454 9.06650i 0.330402 0.572272i −0.652189 0.758056i \(-0.726149\pi\)
0.982591 + 0.185784i \(0.0594825\pi\)
\(252\) −15.1997 22.6785i −0.957493 1.42861i
\(253\) 3.04627 0.816245i 0.191517 0.0513169i
\(254\) 1.91828 + 0.514001i 0.120364 + 0.0322513i
\(255\) −0.192916 + 0.719971i −0.0120808 + 0.0450863i
\(256\) −10.1387 −0.633667
\(257\) −5.35020 −0.333737 −0.166868 0.985979i \(-0.553365\pi\)
−0.166868 + 0.985979i \(0.553365\pi\)
\(258\) 1.20052 4.48039i 0.0747409 0.278937i
\(259\) 11.1179 + 9.72232i 0.690830 + 0.604115i
\(260\) 0.189558 0.0741892i 0.0117559 0.00460102i
\(261\) −12.5766 + 21.7834i −0.778474 + 1.34836i
\(262\) 0.0248579 + 0.0927709i 0.00153573 + 0.00573140i
\(263\) −3.08129 + 5.33695i −0.190000 + 0.329090i −0.945250 0.326347i \(-0.894182\pi\)
0.755250 + 0.655437i \(0.227516\pi\)
\(264\) −4.31473 7.47333i −0.265553 0.459951i
\(265\) −0.0155608 + 0.0155608i −0.000955891 + 0.000955891i
\(266\) 5.62551 3.77037i 0.344922 0.231176i
\(267\) −13.6482 50.9359i −0.835259 3.11723i
\(268\) 2.96345 + 11.0597i 0.181021 + 0.675581i
\(269\) 20.5507i 1.25300i −0.779422 0.626500i \(-0.784487\pi\)
0.779422 0.626500i \(-0.215513\pi\)
\(270\) −0.265927 0.153533i −0.0161838 0.00934373i
\(271\) −7.18504 7.18504i −0.436460 0.436460i 0.454359 0.890819i \(-0.349868\pi\)
−0.890819 + 0.454359i \(0.849868\pi\)
\(272\) −8.57617 −0.520007
\(273\) 10.1122 28.0960i 0.612016 1.70045i
\(274\) −11.8449 −0.715578
\(275\) 3.98914 + 3.98914i 0.240554 + 0.240554i
\(276\) 11.4979 + 6.63830i 0.692090 + 0.399579i
\(277\) 20.4254i 1.22725i 0.789599 + 0.613623i \(0.210288\pi\)
−0.789599 + 0.613623i \(0.789712\pi\)
\(278\) −2.77834 10.3689i −0.166634 0.621885i
\(279\) −4.80383 17.9281i −0.287598 1.07333i
\(280\) −0.106013 + 0.215741i −0.00633547 + 0.0128930i
\(281\) −13.0423 + 13.0423i −0.778037 + 0.778037i −0.979497 0.201460i \(-0.935431\pi\)
0.201460 + 0.979497i \(0.435431\pi\)
\(282\) −6.11053 10.5838i −0.363877 0.630253i
\(283\) −1.00784 + 1.74563i −0.0599100 + 0.103767i −0.894425 0.447218i \(-0.852415\pi\)
0.834515 + 0.550986i \(0.185748\pi\)
\(284\) 4.01916 + 14.9997i 0.238493 + 0.890069i
\(285\) −0.214597 + 0.371692i −0.0127116 + 0.0220171i
\(286\) 1.13236 2.58872i 0.0669578 0.153074i
\(287\) −0.100166 + 0.507316i −0.00591258 + 0.0299459i
\(288\) 10.2325 38.1883i 0.602958 2.25027i
\(289\) 23.9846 1.41086
\(290\) 0.0955584 0.00561138
\(291\) −2.07810 + 7.75558i −0.121820 + 0.454640i
\(292\) −4.00831 1.07402i −0.234569 0.0628525i
\(293\) −11.4688 + 3.07306i −0.670016 + 0.179530i −0.577762 0.816205i \(-0.696074\pi\)
−0.0922540 + 0.995736i \(0.529407\pi\)
\(294\) 5.86210 + 14.0399i 0.341884 + 0.818822i
\(295\) 0.209632 0.363093i 0.0122052 0.0211401i
\(296\) 13.6356i 0.792552i
\(297\) 12.9613 3.47296i 0.752089 0.201522i
\(298\) −3.42448 + 1.97712i −0.198375 + 0.114532i
\(299\) 1.11859 + 10.0129i 0.0646899 + 0.579059i
\(300\) 23.7496i 1.37118i
\(301\) 2.49011 5.06750i 0.143527 0.292086i
\(302\) 7.18594 + 12.4464i 0.413504 + 0.716211i
\(303\) −12.5162 + 7.22626i −0.719040 + 0.415138i
\(304\) −4.77000 1.27812i −0.273578 0.0733051i
\(305\) 0.0360908 + 0.0360908i 0.00206656 + 0.00206656i
\(306\) −7.82151 + 29.1903i −0.447126 + 1.66870i
\(307\) 1.46571 + 1.46571i 0.0836528 + 0.0836528i 0.747695 0.664042i \(-0.231161\pi\)
−0.664042 + 0.747695i \(0.731161\pi\)
\(308\) −1.46295 4.28977i −0.0833594 0.244432i
\(309\) 31.8165 18.3693i 1.80998 1.04499i
\(310\) −0.0498598 + 0.0498598i −0.00283185 + 0.00283185i
\(311\) −1.37387 2.37961i −0.0779051 0.134936i 0.824441 0.565948i \(-0.191490\pi\)
−0.902346 + 0.431013i \(0.858156\pi\)
\(312\) 25.6722 10.0476i 1.45340 0.568833i
\(313\) 6.57410 + 3.79556i 0.371590 + 0.214538i 0.674153 0.738592i \(-0.264509\pi\)
−0.302563 + 0.953129i \(0.597842\pi\)
\(314\) 6.21321 + 1.66482i 0.350632 + 0.0939514i
\(315\) −0.503613 0.440398i −0.0283754 0.0248136i
\(316\) 4.28869 + 2.47607i 0.241257 + 0.139290i
\(317\) 9.63370 2.58134i 0.541083 0.144983i 0.0220814 0.999756i \(-0.492971\pi\)
0.519001 + 0.854774i \(0.326304\pi\)
\(318\) −0.909297 + 0.909297i −0.0509908 + 0.0509908i
\(319\) −2.95274 + 2.95274i −0.165322 + 0.165322i
\(320\) −0.0488198 + 0.0130812i −0.00272911 + 0.000731262i
\(321\) −35.4398 20.4612i −1.97806 1.14203i
\(322\) −3.86437 3.37930i −0.215353 0.188321i
\(323\) 22.7953 + 6.10799i 1.26837 + 0.339858i
\(324\) 22.1121 + 12.7664i 1.22845 + 0.709246i
\(325\) −14.5112 + 10.6886i −0.804936 + 0.592895i
\(326\) −1.43009 2.47700i −0.0792056 0.137188i
\(327\) −28.8630 + 28.8630i −1.59613 + 1.59613i
\(328\) −0.413456 + 0.238709i −0.0228293 + 0.0131805i
\(329\) −4.80178 14.0801i −0.264731 0.776262i
\(330\) −0.0645173 0.0645173i −0.00355156 0.00355156i
\(331\) −4.37748 + 16.3370i −0.240608 + 0.897962i 0.734932 + 0.678141i \(0.237214\pi\)
−0.975540 + 0.219821i \(0.929453\pi\)
\(332\) 7.47932 + 7.47932i 0.410481 + 0.410481i
\(333\) −36.6565 9.82208i −2.00876 0.538246i
\(334\) −9.66423 + 5.57964i −0.528803 + 0.305305i
\(335\) 0.140289 + 0.242988i 0.00766483 + 0.0132759i
\(336\) 4.89288 9.95726i 0.266928 0.543213i
\(337\) 7.92125i 0.431498i −0.976449 0.215749i \(-0.930781\pi\)
0.976449 0.215749i \(-0.0692193\pi\)
\(338\) 7.63404 + 4.81694i 0.415237 + 0.262007i
\(339\) −10.0721 + 5.81511i −0.547039 + 0.315833i
\(340\) −0.349118 + 0.0935459i −0.0189336 + 0.00507324i
\(341\) 3.08132i 0.166863i
\(342\) −8.70054 + 15.0698i −0.470471 + 0.814880i
\(343\) 3.69018 + 18.1489i 0.199251 + 0.979949i
\(344\) 5.03523 1.34919i 0.271482 0.0727433i
\(345\) 0.314257 + 0.0842049i 0.0169190 + 0.00453344i
\(346\) 3.78592 14.1292i 0.203532 0.759592i
\(347\) 24.3383 1.30655 0.653274 0.757122i \(-0.273395\pi\)
0.653274 + 0.757122i \(0.273395\pi\)
\(348\) −17.5794 −0.942353
\(349\) 4.20514 15.6938i 0.225096 0.840070i −0.757270 0.653102i \(-0.773467\pi\)
0.982366 0.186968i \(-0.0598660\pi\)
\(350\) 1.77877 9.00908i 0.0950794 0.481556i
\(351\) 4.75940 + 42.6028i 0.254038 + 2.27397i
\(352\) 3.28173 5.68412i 0.174917 0.302965i
\(353\) −4.23848 15.8182i −0.225591 0.841919i −0.982167 0.188012i \(-0.939796\pi\)
0.756575 0.653907i \(-0.226871\pi\)
\(354\) 12.2499 21.2174i 0.651074 1.12769i
\(355\) 0.190267 + 0.329552i 0.0100983 + 0.0174908i
\(356\) 18.0810 18.0810i 0.958292 0.958292i
\(357\) −23.3825 + 47.5847i −1.23754 + 2.51845i
\(358\) −1.63861 6.11536i −0.0866031 0.323207i
\(359\) 1.78847 + 6.67467i 0.0943920 + 0.352276i 0.996927 0.0783418i \(-0.0249625\pi\)
−0.902535 + 0.430617i \(0.858296\pi\)
\(360\) 0.617659i 0.0325535i
\(361\) −4.68617 2.70556i −0.246640 0.142398i
\(362\) 7.71680 + 7.71680i 0.405586 + 0.405586i
\(363\) −30.4452 −1.59796
\(364\) 14.2504 2.56545i 0.746923 0.134466i
\(365\) −0.101688 −0.00532262
\(366\) 2.10898 + 2.10898i 0.110238 + 0.110238i
\(367\) −12.3820 7.14874i −0.646335 0.373161i 0.140716 0.990050i \(-0.455060\pi\)
−0.787050 + 0.616889i \(0.788393\pi\)
\(368\) 3.74337i 0.195137i
\(369\) −0.343897 1.28344i −0.0179025 0.0668132i
\(370\) 0.0373145 + 0.139260i 0.00193989 + 0.00723976i
\(371\) −1.30030 + 0.871497i −0.0675083 + 0.0452459i
\(372\) 9.17244 9.17244i 0.475569 0.475569i
\(373\) −11.3326 19.6286i −0.586780 1.01633i −0.994651 0.103293i \(-0.967062\pi\)
0.407871 0.913039i \(-0.366271\pi\)
\(374\) −2.50848 + 4.34481i −0.129710 + 0.224665i
\(375\) 0.301298 + 1.12446i 0.0155590 + 0.0580669i
\(376\) 6.86726 11.8944i 0.354152 0.613409i
\(377\) −7.91164 10.7411i −0.407470 0.553196i
\(378\) −16.4421 14.3783i −0.845692 0.739538i
\(379\) −3.37163 + 12.5831i −0.173189 + 0.646349i 0.823664 + 0.567078i \(0.191926\pi\)
−0.996853 + 0.0792716i \(0.974741\pi\)
\(380\) −0.208118 −0.0106762
\(381\) −8.95275 −0.458663
\(382\) −3.11034 + 11.6080i −0.159139 + 0.593914i
\(383\) 2.21834 + 0.594401i 0.113352 + 0.0303725i 0.315049 0.949075i \(-0.397979\pi\)
−0.201697 + 0.979448i \(0.564646\pi\)
\(384\) 32.3144 8.65861i 1.64904 0.441858i
\(385\) −0.0618353 0.0922602i −0.00315142 0.00470202i
\(386\) 4.37047 7.56988i 0.222451 0.385297i
\(387\) 14.5081i 0.737486i
\(388\) −3.76072 + 1.00768i −0.190922 + 0.0511574i
\(389\) −10.9179 + 6.30348i −0.553562 + 0.319599i −0.750557 0.660805i \(-0.770215\pi\)
0.196996 + 0.980404i \(0.436882\pi\)
\(390\) 0.234693 0.172869i 0.0118841 0.00875355i
\(391\) 17.8892i 0.904695i
\(392\) −10.3706 + 13.5947i −0.523794 + 0.686636i
\(393\) −0.216484 0.374962i −0.0109202 0.0189143i
\(394\) −14.9441 + 8.62799i −0.752874 + 0.434672i
\(395\) 0.117217 + 0.0314083i 0.00589784 + 0.00158032i
\(396\) 8.23491 + 8.23491i 0.413820 + 0.413820i
\(397\) −0.580104 + 2.16498i −0.0291146 + 0.108657i −0.978954 0.204081i \(-0.934579\pi\)
0.949839 + 0.312738i \(0.101246\pi\)
\(398\) −5.20339 5.20339i −0.260822 0.260822i
\(399\) −20.0968 + 22.9815i −1.00610 + 1.15052i
\(400\) −5.79914 + 3.34813i −0.289957 + 0.167407i
\(401\) 25.4962 25.4962i 1.27322 1.27322i 0.328828 0.944390i \(-0.393346\pi\)
0.944390 0.328828i \(-0.106654\pi\)
\(402\) 8.19784 + 14.1991i 0.408871 + 0.708185i
\(403\) 9.73251 + 1.47635i 0.484811 + 0.0735423i
\(404\) −6.06920 3.50405i −0.301954 0.174333i
\(405\) 0.604362 + 0.161938i 0.0300310 + 0.00804678i
\(406\) 6.66849 + 1.31664i 0.330952 + 0.0653438i
\(407\) −5.45612 3.15009i −0.270450 0.156144i
\(408\) −47.2817 + 12.6691i −2.34080 + 0.627214i
\(409\) −6.52622 + 6.52622i −0.322701 + 0.322701i −0.849802 0.527102i \(-0.823279\pi\)
0.527102 + 0.849802i \(0.323279\pi\)
\(410\) −0.00356936 + 0.00356936i −0.000176278 + 0.000176278i
\(411\) 51.5780 13.8203i 2.54415 0.681704i
\(412\) 15.4280 + 8.90737i 0.760084 + 0.438834i
\(413\) 19.6319 22.4498i 0.966021 1.10468i
\(414\) 12.7411 + 3.41398i 0.626192 + 0.167788i
\(415\) 0.224472 + 0.129599i 0.0110189 + 0.00636176i
\(416\) 16.3812 + 13.0889i 0.803155 + 0.641738i
\(417\) 24.1962 + 41.9090i 1.18489 + 2.05229i
\(418\) −2.04271 + 2.04271i −0.0999123 + 0.0999123i
\(419\) 15.4156 8.90022i 0.753103 0.434804i −0.0737108 0.997280i \(-0.523484\pi\)
0.826814 + 0.562475i \(0.190151\pi\)
\(420\) 0.0905686 0.458709i 0.00441929 0.0223827i
\(421\) −5.59661 5.59661i −0.272762 0.272762i 0.557449 0.830211i \(-0.311780\pi\)
−0.830211 + 0.557449i \(0.811780\pi\)
\(422\) 3.71664 13.8707i 0.180923 0.675215i
\(423\) 27.0291 + 27.0291i 1.31420 + 1.31420i
\(424\) −1.39595 0.374042i −0.0677931 0.0181651i
\(425\) 27.7135 16.0004i 1.34430 0.776132i
\(426\) 11.1183 + 19.2574i 0.538683 + 0.933026i
\(427\) 2.02131 + 3.01585i 0.0978178 + 0.145947i
\(428\) 19.8435i 0.959172i
\(429\) −1.91036 + 12.5936i −0.0922330 + 0.608025i
\(430\) 0.0477325 0.0275584i 0.00230186 0.00132898i
\(431\) −11.2196 + 3.00628i −0.540428 + 0.144807i −0.518699 0.854957i \(-0.673584\pi\)
−0.0217286 + 0.999764i \(0.506917\pi\)
\(432\) 15.9273i 0.766304i
\(433\) −14.5052 + 25.1237i −0.697073 + 1.20737i 0.272403 + 0.962183i \(0.412181\pi\)
−0.969477 + 0.245183i \(0.921152\pi\)
\(434\) −4.16642 + 2.79245i −0.199995 + 0.134042i
\(435\) −0.416103 + 0.111495i −0.0199506 + 0.00534575i
\(436\) −19.1187 5.12283i −0.915619 0.245339i
\(437\) 2.66605 9.94983i 0.127534 0.475965i
\(438\) −5.94218 −0.283929
\(439\) 16.8557 0.804480 0.402240 0.915534i \(-0.368232\pi\)
0.402240 + 0.915534i \(0.368232\pi\)
\(440\) 0.0265394 0.0990464i 0.00126522 0.00472185i
\(441\) −29.0763 37.6719i −1.38459 1.79390i
\(442\) −12.5214 10.0049i −0.595583 0.475884i
\(443\) 16.1369 27.9499i 0.766685 1.32794i −0.172666 0.984980i \(-0.555238\pi\)
0.939351 0.342957i \(-0.111429\pi\)
\(444\) −6.86455 25.6188i −0.325777 1.21582i
\(445\) 0.313301 0.542654i 0.0148519 0.0257243i
\(446\) −1.14035 1.97515i −0.0539973 0.0935261i
\(447\) 12.6048 12.6048i 0.596189 0.596189i
\(448\) −3.58710 + 0.240207i −0.169474 + 0.0113487i
\(449\) 4.40700 + 16.4471i 0.207979 + 0.776188i 0.988521 + 0.151085i \(0.0482766\pi\)
−0.780542 + 0.625103i \(0.785057\pi\)
\(450\) 6.10703 + 22.7918i 0.287888 + 1.07441i
\(451\) 0.220586i 0.0103870i
\(452\) −4.88400 2.81978i −0.229724 0.132631i
\(453\) −45.8128 45.8128i −2.15247 2.15247i
\(454\) −12.7761 −0.599610
\(455\) 0.321035 0.151105i 0.0150504 0.00708392i
\(456\) −28.1859 −1.31992
\(457\) −4.03922 4.03922i −0.188947 0.188947i 0.606294 0.795241i \(-0.292656\pi\)
−0.795241 + 0.606294i \(0.792656\pi\)
\(458\) −6.59594 3.80817i −0.308208 0.177944i
\(459\) 76.1150i 3.55274i
\(460\) 0.0408314 + 0.152385i 0.00190378 + 0.00710499i
\(461\) −7.08521 26.4424i −0.329991 1.23154i −0.909198 0.416363i \(-0.863305\pi\)
0.579207 0.815180i \(-0.303362\pi\)
\(462\) −3.61336 5.39124i −0.168109 0.250823i
\(463\) −13.6953 + 13.6953i −0.636477 + 0.636477i −0.949685 0.313208i \(-0.898596\pi\)
0.313208 + 0.949685i \(0.398596\pi\)
\(464\) −2.47828 4.29250i −0.115051 0.199274i
\(465\) 0.158937 0.275286i 0.00737051 0.0127661i
\(466\) 1.55008 + 5.78499i 0.0718062 + 0.267984i
\(467\) 8.36822 14.4942i 0.387235 0.670711i −0.604841 0.796346i \(-0.706764\pi\)
0.992077 + 0.125635i \(0.0400969\pi\)
\(468\) −29.9560 + 22.0648i −1.38471 + 1.01995i
\(469\) 6.44203 + 18.8898i 0.297465 + 0.872248i
\(470\) 0.0375852 0.140270i 0.00173368 0.00647017i
\(471\) −28.9975 −1.33613
\(472\) 27.5338 1.26734
\(473\) −0.623378 + 2.32648i −0.0286629 + 0.106972i
\(474\) 6.84961 + 1.83535i 0.314613 + 0.0843003i
\(475\) 17.7986 4.76912i 0.816655 0.218822i
\(476\) −25.6519 + 1.71776i −1.17575 + 0.0787335i
\(477\) 2.01107 3.48328i 0.0920807 0.159488i
\(478\) 5.71671i 0.261476i
\(479\) −21.7606 + 5.83074i −0.994267 + 0.266413i −0.719042 0.694967i \(-0.755419\pi\)
−0.275225 + 0.961380i \(0.588752\pi\)
\(480\) 0.586382 0.338548i 0.0267645 0.0154525i
\(481\) 12.5639 15.7241i 0.572864 0.716958i
\(482\) 4.36243i 0.198703i
\(483\) 20.7700 + 10.2061i 0.945069 + 0.464395i
\(484\) −7.38154 12.7852i −0.335525 0.581146i
\(485\) −0.0826252 + 0.0477037i −0.00375182 + 0.00216611i
\(486\) 11.3933 + 3.05282i 0.516810 + 0.138479i
\(487\) −4.93594 4.93594i −0.223669 0.223669i 0.586373 0.810042i \(-0.300555\pi\)
−0.810042 + 0.586373i \(0.800555\pi\)
\(488\) −0.867535 + 3.23768i −0.0392714 + 0.146563i
\(489\) 9.11734 + 9.11734i 0.412300 + 0.412300i
\(490\) −0.0687119 + 0.167222i −0.00310409 + 0.00755431i
\(491\) −2.12954 + 1.22949i −0.0961048 + 0.0554861i −0.547282 0.836948i \(-0.684338\pi\)
0.451177 + 0.892434i \(0.351004\pi\)
\(492\) 0.656637 0.656637i 0.0296035 0.0296035i
\(493\) 11.8434 + 20.5134i 0.533401 + 0.923877i
\(494\) −5.47328 7.43073i −0.246255 0.334324i
\(495\) 0.247149 + 0.142692i 0.0111085 + 0.00641351i
\(496\) 3.53281 + 0.946613i 0.158628 + 0.0425042i
\(497\) 8.73697 + 25.6192i 0.391907 + 1.14918i
\(498\) 13.1171 + 7.57314i 0.587790 + 0.339360i
\(499\) 18.0154 4.82722i 0.806481 0.216096i 0.168054 0.985778i \(-0.446252\pi\)
0.638428 + 0.769682i \(0.279585\pi\)
\(500\) −0.399156 + 0.399156i −0.0178508 + 0.0178508i
\(501\) 35.5721 35.5721i 1.58925 1.58925i
\(502\) 7.02164 1.88144i 0.313391 0.0839729i
\(503\) 29.6335 + 17.1089i 1.32129 + 0.762849i 0.983935 0.178527i \(-0.0571332\pi\)
0.337359 + 0.941376i \(0.390467\pi\)
\(504\) 8.51035 43.1030i 0.379081 1.91996i
\(505\) −0.165882 0.0444479i −0.00738165 0.00197791i
\(506\) 1.89645 + 1.09491i 0.0843074 + 0.0486749i
\(507\) −38.8622 12.0679i −1.72593 0.535956i
\(508\) −2.17062 3.75963i −0.0963057 0.166806i
\(509\) 6.06864 6.06864i 0.268988 0.268988i −0.559705 0.828692i \(-0.689085\pi\)
0.828692 + 0.559705i \(0.189085\pi\)
\(510\) −0.448217 + 0.258778i −0.0198474 + 0.0114589i
\(511\) −7.09627 1.40110i −0.313920 0.0619811i
\(512\) 10.1365 + 10.1365i 0.447973 + 0.447973i
\(513\) 11.3435 42.3346i 0.500829 1.86912i
\(514\) −2.62689 2.62689i −0.115867 0.115867i
\(515\) 0.421674 + 0.112987i 0.0185812 + 0.00497882i
\(516\) −8.78109 + 5.06976i −0.386566 + 0.223184i
\(517\) 3.17294 + 5.49570i 0.139546 + 0.241701i
\(518\) 0.685198 + 10.2323i 0.0301059 + 0.449581i
\(519\) 65.9422i 2.89454i
\(520\) 0.300127 + 0.131282i 0.0131614 + 0.00575710i
\(521\) −19.8996 + 11.4890i −0.871817 + 0.503344i −0.867952 0.496649i \(-0.834564\pi\)
−0.00386537 + 0.999993i \(0.501230\pi\)
\(522\) −16.8704 + 4.52040i −0.738396 + 0.197853i
\(523\) 29.8987i 1.30738i 0.756762 + 0.653690i \(0.226780\pi\)
−0.756762 + 0.653690i \(0.773220\pi\)
\(524\) 0.104975 0.181821i 0.00458583 0.00794289i
\(525\) 2.76596 + 41.3049i 0.120716 + 1.80269i
\(526\) −4.13326 + 1.10750i −0.180218 + 0.0482894i
\(527\) −16.8829 4.52376i −0.735431 0.197058i
\(528\) −1.22489 + 4.57136i −0.0533066 + 0.198943i
\(529\) 15.1916 0.660506
\(530\) −0.0152803 −0.000663734
\(531\) −19.8333 + 74.0189i −0.860692 + 3.21215i
\(532\) −14.5234 2.86753i −0.629670 0.124323i
\(533\) 0.696731 + 0.105689i 0.0301788 + 0.00457790i
\(534\) 18.3078 31.7101i 0.792257 1.37223i
\(535\) −0.125854 0.469695i −0.00544116 0.0203067i
\(536\) −9.21305 + 15.9575i −0.397943 + 0.689258i
\(537\) 14.2704 + 24.7171i 0.615814 + 1.06662i
\(538\) 10.0902 10.0902i 0.435018 0.435018i
\(539\) −3.04394 7.29032i −0.131112 0.314016i
\(540\) 0.173730 + 0.648368i 0.00747614 + 0.0279013i
\(541\) 3.31979 + 12.3896i 0.142729 + 0.532672i 0.999846 + 0.0175501i \(0.00558667\pi\)
−0.857117 + 0.515122i \(0.827747\pi\)
\(542\) 7.05554i 0.303062i
\(543\) −42.6060 24.5986i −1.82840 1.05563i
\(544\) −26.3260 26.3260i −1.12872 1.12872i
\(545\) −0.485030 −0.0207764
\(546\) 18.7598 8.82986i 0.802844 0.377883i
\(547\) 33.5639 1.43509 0.717543 0.696514i \(-0.245267\pi\)
0.717543 + 0.696514i \(0.245267\pi\)
\(548\) 18.3089 + 18.3089i 0.782119 + 0.782119i
\(549\) −8.07894 4.66438i −0.344801 0.199071i
\(550\) 3.91724i 0.167032i
\(551\) 3.53008 + 13.1744i 0.150387 + 0.561250i
\(552\) 5.52988 + 20.6378i 0.235367 + 0.878403i
\(553\) 7.74718 + 3.80687i 0.329444 + 0.161885i
\(554\) −10.0286 + 10.0286i −0.426076 + 0.426076i
\(555\) −0.324967 0.562860i −0.0137941 0.0238921i
\(556\) −11.7329 + 20.3219i −0.497585 + 0.861842i
\(557\) 6.14230 + 22.9234i 0.260257 + 0.971294i 0.965090 + 0.261920i \(0.0843556\pi\)
−0.704832 + 0.709374i \(0.748978\pi\)
\(558\) 6.44388 11.1611i 0.272791 0.472488i
\(559\) −7.04961 3.08365i −0.298167 0.130425i
\(560\) 0.124775 0.0425523i 0.00527270 0.00179816i
\(561\) 5.85363 21.8460i 0.247140 0.922340i
\(562\) −12.8072 −0.540239
\(563\) 24.7532 1.04322 0.521611 0.853183i \(-0.325331\pi\)
0.521611 + 0.853183i \(0.325331\pi\)
\(564\) −6.91435 + 25.8047i −0.291147 + 1.08657i
\(565\) −0.133488 0.0357681i −0.00561589 0.00150477i
\(566\) −1.35193 + 0.362247i −0.0568257 + 0.0152264i
\(567\) 39.9438 + 19.6279i 1.67748 + 0.824295i
\(568\) −12.4952 + 21.6423i −0.524285 + 0.908089i
\(569\) 38.5792i 1.61733i 0.588273 + 0.808663i \(0.299808\pi\)
−0.588273 + 0.808663i \(0.700192\pi\)
\(570\) −0.287861 + 0.0771321i −0.0120572 + 0.00323071i
\(571\) −25.3815 + 14.6540i −1.06218 + 0.613252i −0.926035 0.377437i \(-0.876806\pi\)
−0.136148 + 0.990689i \(0.543472\pi\)
\(572\) −5.75174 + 2.25112i −0.240492 + 0.0941240i
\(573\) 54.1752i 2.26320i
\(574\) −0.298266 + 0.199906i −0.0124494 + 0.00834391i
\(575\) −6.98393 12.0965i −0.291250 0.504460i
\(576\) 8.00008 4.61885i 0.333337 0.192452i
\(577\) −38.5387 10.3264i −1.60439 0.429894i −0.658024 0.752997i \(-0.728607\pi\)
−0.946364 + 0.323103i \(0.895274\pi\)
\(578\) 11.7762 + 11.7762i 0.489824 + 0.489824i
\(579\) −10.1987 + 38.0619i −0.423842 + 1.58180i
\(580\) −0.147707 0.147707i −0.00613318 0.00613318i
\(581\) 13.8790 + 12.1368i 0.575797 + 0.503521i
\(582\) −4.82822 + 2.78757i −0.200136 + 0.115549i
\(583\) 0.472160 0.472160i 0.0195549 0.0195549i
\(584\) −3.33903 5.78337i −0.138170 0.239317i
\(585\) −0.569115 + 0.712265i −0.0235300 + 0.0294485i
\(586\) −7.13990 4.12222i −0.294946 0.170287i
\(587\) 31.6109 + 8.47012i 1.30472 + 0.349599i 0.843234 0.537547i \(-0.180649\pi\)
0.461489 + 0.887146i \(0.347316\pi\)
\(588\) 12.6405 30.7629i 0.521287 1.26864i
\(589\) −8.71597 5.03217i −0.359135 0.207347i
\(590\) 0.281201 0.0753476i 0.0115769 0.00310201i
\(591\) 55.0064 55.0064i 2.26266 2.26266i
\(592\) 5.28782 5.28782i 0.217328 0.217328i
\(593\) −21.0102 + 5.62965i −0.862784 + 0.231182i −0.662965 0.748651i \(-0.730702\pi\)
−0.199819 + 0.979833i \(0.564035\pi\)
\(594\) 8.06901 + 4.65865i 0.331076 + 0.191147i
\(595\) −0.596286 + 0.203353i −0.0244453 + 0.00833666i
\(596\) 8.34937 + 2.23721i 0.342003 + 0.0916396i
\(597\) 28.7290 + 16.5867i 1.17580 + 0.678848i
\(598\) −4.36698 + 5.46542i −0.178579 + 0.223498i
\(599\) −15.0536 26.0736i −0.615073 1.06534i −0.990372 0.138434i \(-0.955793\pi\)
0.375299 0.926904i \(-0.377540\pi\)
\(600\) −27.0255 + 27.0255i −1.10331 + 1.10331i
\(601\) −16.4105 + 9.47460i −0.669398 + 0.386477i −0.795849 0.605496i \(-0.792975\pi\)
0.126450 + 0.991973i \(0.459642\pi\)
\(602\) 3.71069 1.26547i 0.151237 0.0515766i
\(603\) −36.2620 36.2620i −1.47670 1.47670i
\(604\) 8.13122 30.3461i 0.330855 1.23477i
\(605\) −0.255809 0.255809i −0.0104001 0.0104001i
\(606\) −9.69334 2.59732i −0.393765 0.105509i
\(607\) −18.4475 + 10.6507i −0.748763 + 0.432298i −0.825247 0.564772i \(-0.808964\pi\)
0.0764838 + 0.997071i \(0.475631\pi\)
\(608\) −10.7189 18.5657i −0.434709 0.752939i
\(609\) −30.5737 + 2.04735i −1.23891 + 0.0829628i
\(610\) 0.0354404i 0.00143494i
\(611\) −18.8787 + 7.38875i −0.763750 + 0.298917i
\(612\) 57.2099 33.0301i 2.31257 1.33516i
\(613\) 24.1774 6.47832i 0.976518 0.261657i 0.264940 0.964265i \(-0.414648\pi\)
0.711577 + 0.702608i \(0.247981\pi\)
\(614\) 1.43930i 0.0580853i
\(615\) 0.0113780 0.0197072i 0.000458804 0.000794671i
\(616\) 3.21674 6.54623i 0.129606 0.263755i
\(617\) −29.1852 + 7.82015i −1.17495 + 0.314827i −0.792922 0.609323i \(-0.791441\pi\)
−0.382029 + 0.924150i \(0.624775\pi\)
\(618\) 24.6406 + 6.60244i 0.991191 + 0.265589i
\(619\) 10.9864 41.0017i 0.441580 1.64800i −0.283232 0.959052i \(-0.591407\pi\)
0.724812 0.688947i \(-0.241927\pi\)
\(620\) 0.154139 0.00619035
\(621\) −33.2231 −1.33320
\(622\) 0.493808 1.84292i 0.0197999 0.0738942i
\(623\) 29.3404 33.5520i 1.17550 1.34423i
\(624\) −13.8520 6.05915i −0.554523 0.242560i
\(625\) 12.4896 21.6327i 0.499585 0.865307i
\(626\) 1.36423 + 5.09138i 0.0545257 + 0.203493i
\(627\) 6.51149 11.2782i 0.260044 0.450409i
\(628\) −7.03053 12.1772i −0.280549 0.485924i
\(629\) −25.2700 + 25.2700i −1.00758 + 1.00758i
\(630\) −0.0310378 0.463498i −0.00123658 0.0184662i
\(631\) −9.55956 35.6768i −0.380560 1.42027i −0.845048 0.534690i \(-0.820428\pi\)
0.464488 0.885579i \(-0.346238\pi\)
\(632\) 2.06264 + 7.69786i 0.0820473 + 0.306205i
\(633\) 64.7356i 2.57301i
\(634\) 5.99744 + 3.46263i 0.238189 + 0.137518i
\(635\) −0.0752234 0.0752234i −0.00298515 0.00298515i
\(636\) 2.81104 0.111465
\(637\) 24.4853 6.12143i 0.970141 0.242540i
\(638\) −2.89952 −0.114793
\(639\) −49.1802 49.1802i −1.94554 1.94554i
\(640\) 0.344266 + 0.198762i 0.0136083 + 0.00785676i
\(641\) 8.28328i 0.327170i 0.986529 + 0.163585i \(0.0523058\pi\)
−0.986529 + 0.163585i \(0.947694\pi\)
\(642\) −7.35433 27.4467i −0.290252 1.08324i
\(643\) 8.56893 + 31.9797i 0.337926 + 1.26116i 0.900663 + 0.434519i \(0.143082\pi\)
−0.562737 + 0.826636i \(0.690252\pi\)
\(644\) 0.749778 + 11.1967i 0.0295454 + 0.441211i
\(645\) −0.175694 + 0.175694i −0.00691794 + 0.00691794i
\(646\) 8.19329 + 14.1912i 0.322361 + 0.558345i
\(647\) −6.58281 + 11.4018i −0.258797 + 0.448250i −0.965920 0.258841i \(-0.916659\pi\)
0.707123 + 0.707091i \(0.249993\pi\)
\(648\) 10.6348 + 39.6895i 0.417773 + 1.55915i
\(649\) −6.36085 + 11.0173i −0.249685 + 0.432467i
\(650\) −12.3728 1.87686i −0.485301 0.0736166i
\(651\) 14.8843 17.0208i 0.583362 0.667098i
\(652\) −1.61822 + 6.03927i −0.0633743 + 0.236516i
\(653\) −47.3352 −1.85237 −0.926184 0.377071i \(-0.876931\pi\)
−0.926184 + 0.377071i \(0.876931\pi\)
\(654\) −28.3428 −1.10829
\(655\) 0.00133157 0.00496949i 5.20288e−5 0.000194174i
\(656\) 0.252907 + 0.0677662i 0.00987435 + 0.00264582i
\(657\) 17.9526 4.81038i 0.700397 0.187671i
\(658\) 4.55556 9.27079i 0.177594 0.361413i
\(659\) −2.76562 + 4.79019i −0.107733 + 0.186599i −0.914852 0.403790i \(-0.867693\pi\)
0.807118 + 0.590390i \(0.201026\pi\)
\(660\) 0.199451i 0.00776363i
\(661\) 17.5567 4.70431i 0.682877 0.182976i 0.0993289 0.995055i \(-0.468330\pi\)
0.583549 + 0.812078i \(0.301664\pi\)
\(662\) −10.1706 + 5.87198i −0.395290 + 0.228221i
\(663\) 66.1971 + 28.9560i 2.57088 + 1.12456i
\(664\) 17.0220i 0.660581i
\(665\) −0.361956 + 0.0242381i −0.0140360 + 0.000939914i
\(666\) −13.1754 22.8204i −0.510536 0.884274i
\(667\) 8.95380 5.16948i 0.346692 0.200163i
\(668\) 23.5628 + 6.31362i 0.911671 + 0.244281i
\(669\) 7.27015 + 7.27015i 0.281080 + 0.281080i
\(670\) −0.0504240 + 0.188185i −0.00194805 + 0.00727022i
\(671\) −1.09510 1.09510i −0.0422760 0.0422760i
\(672\) 45.5849 15.5460i 1.75848 0.599698i
\(673\) −3.86827 + 2.23334i −0.149111 + 0.0860891i −0.572699 0.819766i \(-0.694104\pi\)
0.423588 + 0.905855i \(0.360770\pi\)
\(674\) 3.88924 3.88924i 0.149808 0.149808i
\(675\) −29.7153 51.4683i −1.14374 1.98102i
\(676\) −4.35444 19.2457i −0.167479 0.740221i
\(677\) −20.1346 11.6247i −0.773836 0.446775i 0.0604051 0.998174i \(-0.480761\pi\)
−0.834241 + 0.551399i \(0.814094\pi\)
\(678\) −7.80041 2.09011i −0.299573 0.0802703i
\(679\) −6.42323 + 2.19053i −0.246501 + 0.0840649i
\(680\) −0.503723 0.290825i −0.0193169 0.0111526i
\(681\) 55.6326 14.9067i 2.13185 0.571226i
\(682\) 1.51289 1.51289i 0.0579317 0.0579317i
\(683\) 5.61092 5.61092i 0.214696 0.214696i −0.591563 0.806259i \(-0.701489\pi\)
0.806259 + 0.591563i \(0.201489\pi\)
\(684\) 36.7422 9.84506i 1.40487 0.376435i
\(685\) 0.549494 + 0.317250i 0.0209951 + 0.0121215i
\(686\) −7.09906 + 10.7227i −0.271043 + 0.409396i
\(687\) 33.1649 + 8.88651i 1.26532 + 0.339041i
\(688\) −2.47585 1.42943i −0.0943910 0.0544967i
\(689\) 1.26511 + 1.71756i 0.0481970 + 0.0654340i
\(690\) 0.112953 + 0.195640i 0.00430004 + 0.00744789i
\(691\) −8.15837 + 8.15837i −0.310359 + 0.310359i −0.845049 0.534690i \(-0.820429\pi\)
0.534690 + 0.845049i \(0.320429\pi\)
\(692\) −27.6918 + 15.9879i −1.05268 + 0.607768i
\(693\) 15.2811 + 13.3630i 0.580481 + 0.507617i
\(694\) 11.9498 + 11.9498i 0.453609 + 0.453609i
\(695\) −0.148828 + 0.555434i −0.00564537 + 0.0210688i
\(696\) −20.0042 20.0042i −0.758257 0.758257i
\(697\) −1.20861 0.323847i −0.0457795 0.0122666i
\(698\) 9.77014 5.64079i 0.369805 0.213507i
\(699\) −13.4995 23.3818i −0.510597 0.884380i
\(700\) −16.6750 + 11.1760i −0.630256 + 0.422415i
\(701\) 11.0088i 0.415797i −0.978150 0.207898i \(-0.933338\pi\)
0.978150 0.207898i \(-0.0666624\pi\)
\(702\) −18.5807 + 23.2543i −0.701282 + 0.877676i
\(703\) −17.8210 + 10.2889i −0.672131 + 0.388055i
\(704\) 1.48134 0.396923i 0.0558299 0.0149596i
\(705\) 0.654650i 0.0246555i
\(706\) 5.68552 9.84760i 0.213977 0.370619i
\(707\) −10.9635 5.38736i −0.412327 0.202612i
\(708\) −51.7311 + 13.8613i −1.94417 + 0.520939i
\(709\) 28.7098 + 7.69277i 1.07822 + 0.288908i 0.753866 0.657028i \(-0.228187\pi\)
0.324353 + 0.945936i \(0.394853\pi\)
\(710\) −0.0683873 + 0.255225i −0.00256653 + 0.00957842i
\(711\) −22.1799 −0.831811
\(712\) 41.1501 1.54216
\(713\) −1.97456 + 7.36914i −0.0739477 + 0.275977i
\(714\) −34.8441 + 11.8830i −1.30401 + 0.444709i
\(715\) −0.121866 + 0.0897635i −0.00455754 + 0.00335697i
\(716\) −6.91982 + 11.9855i −0.258606 + 0.447918i
\(717\) 6.67008 + 24.8931i 0.249099 + 0.929649i
\(718\) −2.39907 + 4.15530i −0.0895323 + 0.155075i
\(719\) −12.1922 21.1175i −0.454693 0.787552i 0.543977 0.839100i \(-0.316918\pi\)
−0.998671 + 0.0515483i \(0.983584\pi\)
\(720\) −0.239526 + 0.239526i −0.00892660 + 0.00892660i
\(721\) 27.8695 + 13.6947i 1.03792 + 0.510019i
\(722\) −0.972454 3.62925i −0.0361910 0.135067i
\(723\) 5.08994 + 18.9959i 0.189297 + 0.706466i
\(724\) 23.8560i 0.886602i
\(725\) 16.0168 + 9.24733i 0.594851 + 0.343437i
\(726\) −14.9483 14.9483i −0.554782 0.554782i
\(727\) 20.3008 0.752915 0.376458 0.926434i \(-0.377142\pi\)
0.376458 + 0.926434i \(0.377142\pi\)
\(728\) 19.1353 + 13.2967i 0.709203 + 0.492809i
\(729\) −2.70851 −0.100315
\(730\) −0.0499278 0.0499278i −0.00184791 0.00184791i
\(731\) 11.8318 + 6.83111i 0.437616 + 0.252658i
\(732\) 6.51977i 0.240978i
\(733\) −4.25111 15.8654i −0.157019 0.586001i −0.998924 0.0463761i \(-0.985233\pi\)
0.841906 0.539625i \(-0.181434\pi\)
\(734\) −2.56946 9.58936i −0.0948406 0.353950i
\(735\) 0.104093 0.808328i 0.00383951 0.0298156i
\(736\) −11.4909 + 11.4909i −0.423560 + 0.423560i
\(737\) −4.25679 7.37298i −0.156801 0.271587i
\(738\) 0.461305 0.799003i 0.0169809 0.0294117i
\(739\) −11.0872 41.3778i −0.407847 1.52211i −0.798743 0.601672i \(-0.794501\pi\)
0.390896 0.920435i \(-0.372165\pi\)
\(740\) 0.157579 0.272934i 0.00579270 0.0100333i
\(741\) 32.5030 + 25.9706i 1.19403 + 0.954054i
\(742\) −1.06633 0.210538i −0.0391461 0.00772910i
\(743\) 12.7481 47.5766i 0.467683 1.74542i −0.180155 0.983638i \(-0.557660\pi\)
0.647838 0.761778i \(-0.275673\pi\)
\(744\) 20.8753 0.765325
\(745\) 0.211819 0.00776043
\(746\) 4.07326 15.2016i 0.149133 0.556570i
\(747\) −45.7601 12.2614i −1.67427 0.448621i
\(748\) 10.5933 2.83846i 0.387328 0.103784i
\(749\) −2.31104 34.5115i −0.0844435 1.26102i
\(750\) −0.404163 + 0.700031i −0.0147580 + 0.0255615i
\(751\) 23.0508i 0.841135i −0.907261 0.420567i \(-0.861831\pi\)
0.907261 0.420567i \(-0.138169\pi\)
\(752\) −7.27571 + 1.94952i −0.265318 + 0.0710917i
\(753\) −28.3801 + 16.3853i −1.03423 + 0.597112i
\(754\) 1.38925 9.15829i 0.0505934 0.333525i
\(755\) 0.769863i 0.0280182i
\(756\) 3.19016 + 47.6397i 0.116025 + 1.73264i
\(757\) 24.1858 + 41.8911i 0.879049 + 1.52256i 0.852387 + 0.522912i \(0.175154\pi\)
0.0266620 + 0.999645i \(0.491512\pi\)
\(758\) −7.83357 + 4.52272i −0.284528 + 0.164272i
\(759\) −9.53548 2.55502i −0.346116 0.0927415i
\(760\) −0.236825 0.236825i −0.00859055 0.00859055i
\(761\) −7.56647 + 28.2385i −0.274284 + 1.02364i 0.682035 + 0.731320i \(0.261095\pi\)
−0.956319 + 0.292324i \(0.905571\pi\)
\(762\) −4.39570 4.39570i −0.159239 0.159239i
\(763\) −33.8475 6.68293i −1.22536 0.241938i
\(764\) 22.7504 13.1349i 0.823079 0.475205i
\(765\) 1.14467 1.14467i 0.0413856 0.0413856i
\(766\) 0.797333 + 1.38102i 0.0288088 + 0.0498983i
\(767\) −31.7510 25.3698i −1.14646 0.916049i
\(768\) 27.4844 + 15.8681i 0.991759 + 0.572592i
\(769\) 1.87337 + 0.501968i 0.0675554 + 0.0181014i 0.292438 0.956284i \(-0.405533\pi\)
−0.224883 + 0.974386i \(0.572200\pi\)
\(770\) 0.0149383 0.0756591i 0.000538339 0.00272656i
\(771\) 14.5036 + 8.37365i 0.522334 + 0.301570i
\(772\) −18.4564 + 4.94539i −0.664262 + 0.177988i
\(773\) −3.60192 + 3.60192i −0.129552 + 0.129552i −0.768910