Properties

Label 722.2.i.b.505.2
Level $722$
Weight $2$
Character 722.505
Analytic conductor $5.765$
Analytic rank $0$
Dimension $612$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [722,2,Mod(7,722)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(722, base_ring=CyclotomicField(114))
 
chi = DirichletCharacter(H, H._module([50]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("722.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 722 = 2 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 722.i (of order \(57\), degree \(36\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.76519902594\)
Analytic rank: \(0\)
Dimension: \(612\)
Relative dimension: \(17\) over \(\Q(\zeta_{57})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{57}]$

Embedding invariants

Embedding label 505.2
Character \(\chi\) \(=\) 722.505
Dual form 722.2.i.b.539.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.851919 - 0.523673i) q^{2} +(-1.09847 + 2.93389i) q^{3} +(0.451533 - 0.892254i) q^{4} +(-0.462965 - 0.629887i) q^{5} +(0.600589 + 3.07468i) q^{6} +(-0.692601 + 1.06010i) q^{7} +(-0.0825793 - 0.996584i) q^{8} +(-5.13876 - 4.47535i) q^{9} +O(q^{10})\) \(q+(0.851919 - 0.523673i) q^{2} +(-1.09847 + 2.93389i) q^{3} +(0.451533 - 0.892254i) q^{4} +(-0.462965 - 0.629887i) q^{5} +(0.600589 + 3.07468i) q^{6} +(-0.692601 + 1.06010i) q^{7} +(-0.0825793 - 0.996584i) q^{8} +(-5.13876 - 4.47535i) q^{9} +(-0.724264 - 0.294171i) q^{10} +(-3.67491 - 1.26160i) q^{11} +(2.12178 + 2.30487i) q^{12} +(-4.36389 - 5.29878i) q^{13} +(-0.0348921 + 1.26582i) q^{14} +(2.35658 - 0.666377i) q^{15} +(-0.592235 - 0.805765i) q^{16} +(-0.696311 - 1.37595i) q^{17} +(-6.72143 - 1.12161i) q^{18} +(2.87430 + 3.27695i) q^{19} +(-0.771064 + 0.128668i) q^{20} +(-2.34943 - 3.19651i) q^{21} +(-3.79140 + 0.849672i) q^{22} +(1.43905 + 3.84352i) q^{23} +(3.01458 + 0.852443i) q^{24} +(1.31015 - 4.18879i) q^{25} +(-6.49252 - 2.22888i) q^{26} +(10.5094 - 5.68740i) q^{27} +(0.633150 + 1.09665i) q^{28} +(2.70797 + 0.149403i) q^{29} +(1.65865 - 1.80177i) q^{30} +(-5.57105 + 3.01490i) q^{31} +(-0.926494 - 0.376309i) q^{32} +(7.73819 - 9.39597i) q^{33} +(-1.31375 - 0.807558i) q^{34} +(0.988396 - 0.0545313i) q^{35} +(-6.31348 + 2.56431i) q^{36} +(-1.99304 - 0.684210i) q^{37} +(4.16472 + 1.28651i) q^{38} +(20.3397 - 6.98262i) q^{39} +(-0.589504 + 0.513400i) q^{40} +(-6.74129 - 6.55802i) q^{41} +(-3.67545 - 1.49284i) q^{42} +(-7.40614 + 3.00811i) q^{43} +(-2.78501 + 2.70930i) q^{44} +(-0.439898 + 5.30878i) q^{45} +(3.23870 + 2.52078i) q^{46} +(-1.36937 - 7.01043i) q^{47} +(3.01458 - 0.852443i) q^{48} +(2.16774 + 4.94196i) q^{49} +(-1.07741 - 4.25461i) q^{50} +(4.80176 - 0.531459i) q^{51} +(-6.69831 + 1.50113i) q^{52} +(2.48283 + 12.7107i) q^{53} +(5.97482 - 10.3487i) q^{54} +(0.906693 + 2.89886i) q^{55} +(1.11368 + 0.602692i) q^{56} +(-12.7716 + 4.83324i) q^{57} +(2.38521 - 1.29081i) q^{58} +(-6.94619 - 6.75736i) q^{59} +(0.469496 - 2.40356i) q^{60} +(7.96701 - 3.75972i) q^{61} +(-3.16726 + 5.48586i) q^{62} +(8.30345 - 2.34799i) q^{63} +(-0.986361 + 0.164595i) q^{64} +(-1.31730 + 5.20192i) q^{65} +(1.67190 - 12.0569i) q^{66} +(-9.56269 + 6.63062i) q^{67} -1.54210 q^{68} -12.8572 q^{69} +(0.813477 - 0.564053i) q^{70} +(-10.9709 - 5.17729i) q^{71} +(-4.03571 + 5.49078i) q^{72} +(-2.61609 - 5.16954i) q^{73} +(-2.05621 + 0.460807i) q^{74} +(10.8503 + 8.44513i) q^{75} +(4.22172 - 1.08495i) q^{76} +(3.88267 - 3.02201i) q^{77} +(13.6712 - 16.6000i) q^{78} +(8.34364 - 3.38889i) q^{79} +(-0.233357 + 0.746083i) q^{80} +(2.33399 + 16.8315i) q^{81} +(-9.17729 - 2.05668i) q^{82} +(-2.82188 - 6.43324i) q^{83} +(-3.91295 + 0.652955i) q^{84} +(-0.544324 + 1.07561i) q^{85} +(-4.73416 + 6.44106i) q^{86} +(-3.41297 + 7.78079i) q^{87} +(-0.953818 + 3.76654i) q^{88} +(-3.98010 + 7.86489i) q^{89} +(2.40530 + 4.75301i) q^{90} +(8.63970 - 0.956242i) q^{91} +(4.07918 + 0.451483i) q^{92} +(-2.72575 - 19.6567i) q^{93} +(-4.83777 - 5.25521i) q^{94} +(0.733409 - 3.32760i) q^{95} +(2.12178 - 2.30487i) q^{96} +(2.35349 + 1.63187i) q^{97} +(4.43471 + 3.07496i) q^{98} +(13.2384 + 22.9296i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 612 q + 17 q^{2} - 19 q^{3} + 17 q^{4} + q^{5} - 2 q^{7} - 34 q^{8} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 612 q + 17 q^{2} - 19 q^{3} + 17 q^{4} + q^{5} - 2 q^{7} - 34 q^{8} + 4 q^{9} + q^{10} - 28 q^{11} + 4 q^{13} - 18 q^{14} - 52 q^{15} + 17 q^{16} + 18 q^{17} - 46 q^{18} - 12 q^{19} - 2 q^{20} - 65 q^{21} + 33 q^{22} + 39 q^{23} + 20 q^{25} - 8 q^{26} + 158 q^{27} - 37 q^{28} - 42 q^{29} - 29 q^{30} + 12 q^{31} + 17 q^{32} + 60 q^{33} - q^{34} - 14 q^{35} + 23 q^{36} - 6 q^{37} + 76 q^{38} - 108 q^{39} + q^{40} + 8 q^{41} + 11 q^{42} + 7 q^{43} - 5 q^{44} - 101 q^{45} - 21 q^{46} + 105 q^{47} - 62 q^{49} - 78 q^{50} - 3 q^{51} + 4 q^{52} + 146 q^{53} - 79 q^{54} + 4 q^{55} - 21 q^{56} - 28 q^{57} + 8 q^{58} - 4 q^{59} - 14 q^{60} - 93 q^{61} - 6 q^{62} - 95 q^{63} - 34 q^{64} - 76 q^{65} - 16 q^{66} - 6 q^{67} + 78 q^{68} + 38 q^{69} + 81 q^{70} - 151 q^{71} + 23 q^{72} + 7 q^{73} - 35 q^{74} - 12 q^{75} - 7 q^{76} + 78 q^{77} - 3 q^{78} - 10 q^{79} + q^{80} + 58 q^{81} - 30 q^{82} + 67 q^{83} - 22 q^{84} - 6 q^{85} - 12 q^{86} - 109 q^{87} + 10 q^{88} - 25 q^{89} - 73 q^{90} + 37 q^{91} + q^{92} + 56 q^{93} - 39 q^{94} - 29 q^{95} - 153 q^{97} + 164 q^{98} - 116 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).

\(n\) \(363\)
\(\chi(n)\) \(e\left(\frac{47}{57}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.851919 0.523673i 0.602398 0.370293i
\(3\) −1.09847 + 2.93389i −0.634204 + 1.69388i 0.0825760 + 0.996585i \(0.473685\pi\)
−0.716780 + 0.697299i \(0.754385\pi\)
\(4\) 0.451533 0.892254i 0.225767 0.446127i
\(5\) −0.462965 0.629887i −0.207044 0.281694i 0.689837 0.723964i \(-0.257682\pi\)
−0.896882 + 0.442270i \(0.854173\pi\)
\(6\) 0.600589 + 3.07468i 0.245189 + 1.25523i
\(7\) −0.692601 + 1.06010i −0.261778 + 0.400682i −0.943731 0.330715i \(-0.892710\pi\)
0.681952 + 0.731397i \(0.261131\pi\)
\(8\) −0.0825793 0.996584i −0.0291962 0.352346i
\(9\) −5.13876 4.47535i −1.71292 1.49178i
\(10\) −0.724264 0.294171i −0.229032 0.0930249i
\(11\) −3.67491 1.26160i −1.10803 0.380387i −0.290848 0.956769i \(-0.593937\pi\)
−0.817180 + 0.576383i \(0.804464\pi\)
\(12\) 2.12178 + 2.30487i 0.612505 + 0.665358i
\(13\) −4.36389 5.29878i −1.21033 1.46962i −0.841618 0.540073i \(-0.818396\pi\)
−0.368709 0.929545i \(-0.620200\pi\)
\(14\) −0.0348921 + 1.26582i −0.00932530 + 0.338304i
\(15\) 2.35658 0.666377i 0.608466 0.172058i
\(16\) −0.592235 0.805765i −0.148059 0.201441i
\(17\) −0.696311 1.37595i −0.168880 0.333716i 0.792073 0.610426i \(-0.209002\pi\)
−0.960954 + 0.276709i \(0.910756\pi\)
\(18\) −6.72143 1.12161i −1.58426 0.264366i
\(19\) 2.87430 + 3.27695i 0.659409 + 0.751784i
\(20\) −0.771064 + 0.128668i −0.172415 + 0.0287710i
\(21\) −2.34943 3.19651i −0.512687 0.697536i
\(22\) −3.79140 + 0.849672i −0.808328 + 0.181151i
\(23\) 1.43905 + 3.84352i 0.300062 + 0.801430i 0.996483 + 0.0837964i \(0.0267045\pi\)
−0.696421 + 0.717634i \(0.745225\pi\)
\(24\) 3.01458 + 0.852443i 0.615349 + 0.174004i
\(25\) 1.31015 4.18879i 0.262031 0.837759i
\(26\) −6.49252 2.22888i −1.27329 0.437120i
\(27\) 10.5094 5.68740i 2.02253 1.09454i
\(28\) 0.633150 + 1.09665i 0.119654 + 0.207247i
\(29\) 2.70797 + 0.149403i 0.502858 + 0.0277435i 0.304742 0.952435i \(-0.401430\pi\)
0.198116 + 0.980178i \(0.436518\pi\)
\(30\) 1.65865 1.80177i 0.302827 0.328958i
\(31\) −5.57105 + 3.01490i −1.00059 + 0.541493i −0.891732 0.452565i \(-0.850509\pi\)
−0.108859 + 0.994057i \(0.534720\pi\)
\(32\) −0.926494 0.376309i −0.163783 0.0665227i
\(33\) 7.73819 9.39597i 1.34705 1.63563i
\(34\) −1.31375 0.807558i −0.225306 0.138495i
\(35\) 0.988396 0.0545313i 0.167069 0.00921748i
\(36\) −6.31348 + 2.56431i −1.05225 + 0.427385i
\(37\) −1.99304 0.684210i −0.327653 0.112484i 0.155965 0.987763i \(-0.450151\pi\)
−0.483618 + 0.875279i \(0.660678\pi\)
\(38\) 4.16472 + 1.28651i 0.675607 + 0.208699i
\(39\) 20.3397 6.98262i 3.25696 1.11811i
\(40\) −0.589504 + 0.513400i −0.0932088 + 0.0811757i
\(41\) −6.74129 6.55802i −1.05281 1.02419i −0.999672 0.0256043i \(-0.991849\pi\)
−0.0531399 0.998587i \(-0.516923\pi\)
\(42\) −3.67545 1.49284i −0.567134 0.230350i
\(43\) −7.40614 + 3.00811i −1.12943 + 0.458733i −0.863041 0.505134i \(-0.831443\pi\)
−0.266384 + 0.963867i \(0.585829\pi\)
\(44\) −2.78501 + 2.70930i −0.419857 + 0.408443i
\(45\) −0.439898 + 5.30878i −0.0655761 + 0.791386i
\(46\) 3.23870 + 2.52078i 0.477520 + 0.371669i
\(47\) −1.36937 7.01043i −0.199744 1.02258i −0.937626 0.347646i \(-0.886981\pi\)
0.737882 0.674929i \(-0.235826\pi\)
\(48\) 3.01458 0.852443i 0.435118 0.123040i
\(49\) 2.16774 + 4.94196i 0.309678 + 0.705994i
\(50\) −1.07741 4.25461i −0.152369 0.601692i
\(51\) 4.80176 0.531459i 0.672381 0.0744192i
\(52\) −6.69831 + 1.50113i −0.928888 + 0.208169i
\(53\) 2.48283 + 12.7107i 0.341043 + 1.74595i 0.619034 + 0.785364i \(0.287524\pi\)
−0.277992 + 0.960583i \(0.589669\pi\)
\(54\) 5.97482 10.3487i 0.813069 1.40828i
\(55\) 0.906693 + 2.89886i 0.122258 + 0.390882i
\(56\) 1.11368 + 0.602692i 0.148821 + 0.0805381i
\(57\) −12.7716 + 4.83324i −1.69164 + 0.640178i
\(58\) 2.38521 1.29081i 0.313194 0.169492i
\(59\) −6.94619 6.75736i −0.904317 0.879733i 0.0888966 0.996041i \(-0.471666\pi\)
−0.993213 + 0.116308i \(0.962894\pi\)
\(60\) 0.469496 2.40356i 0.0606117 0.310298i
\(61\) 7.96701 3.75972i 1.02007 0.481383i 0.157607 0.987502i \(-0.449622\pi\)
0.862464 + 0.506119i \(0.168920\pi\)
\(62\) −3.16726 + 5.48586i −0.402243 + 0.696705i
\(63\) 8.30345 2.34799i 1.04614 0.295819i
\(64\) −0.986361 + 0.164595i −0.123295 + 0.0205743i
\(65\) −1.31730 + 5.20192i −0.163391 + 0.645218i
\(66\) 1.67190 12.0569i 0.205797 1.48410i
\(67\) −9.56269 + 6.63062i −1.16827 + 0.810060i −0.984924 0.172989i \(-0.944657\pi\)
−0.183345 + 0.983049i \(0.558693\pi\)
\(68\) −1.54210 −0.187007
\(69\) −12.8572 −1.54783
\(70\) 0.813477 0.564053i 0.0972291 0.0674172i
\(71\) −10.9709 5.17729i −1.30201 0.614432i −0.354766 0.934955i \(-0.615439\pi\)
−0.947241 + 0.320523i \(0.896141\pi\)
\(72\) −4.03571 + 5.49078i −0.475613 + 0.647095i
\(73\) −2.61609 5.16954i −0.306191 0.605049i 0.686307 0.727312i \(-0.259231\pi\)
−0.992498 + 0.122263i \(0.960985\pi\)
\(74\) −2.05621 + 0.460807i −0.239029 + 0.0535678i
\(75\) 10.8503 + 8.44513i 1.25288 + 0.975159i
\(76\) 4.22172 1.08495i 0.484264 0.124452i
\(77\) 3.88267 3.02201i 0.442472 0.344390i
\(78\) 13.6712 16.6000i 1.54795 1.87958i
\(79\) 8.34364 3.38889i 0.938733 0.381280i 0.144920 0.989443i \(-0.453707\pi\)
0.793812 + 0.608163i \(0.208093\pi\)
\(80\) −0.233357 + 0.746083i −0.0260901 + 0.0834146i
\(81\) 2.33399 + 16.8315i 0.259332 + 1.87017i
\(82\) −9.17729 2.05668i −1.01346 0.227122i
\(83\) −2.82188 6.43324i −0.309741 0.706139i 0.690104 0.723710i \(-0.257565\pi\)
−0.999846 + 0.0175706i \(0.994407\pi\)
\(84\) −3.91295 + 0.652955i −0.426938 + 0.0712433i
\(85\) −0.544324 + 1.07561i −0.0590402 + 0.116667i
\(86\) −4.73416 + 6.44106i −0.510498 + 0.694558i
\(87\) −3.41297 + 7.78079i −0.365909 + 0.834188i
\(88\) −0.953818 + 3.76654i −0.101677 + 0.401515i
\(89\) −3.98010 + 7.86489i −0.421889 + 0.833676i 0.577956 + 0.816068i \(0.303851\pi\)
−0.999845 + 0.0176080i \(0.994395\pi\)
\(90\) 2.40530 + 4.75301i 0.253541 + 0.501011i
\(91\) 8.63970 0.956242i 0.905686 0.100241i
\(92\) 4.07918 + 0.451483i 0.425284 + 0.0470704i
\(93\) −2.72575 19.6567i −0.282647 2.03830i
\(94\) −4.83777 5.25521i −0.498977 0.542034i
\(95\) 0.733409 3.32760i 0.0752462 0.341404i
\(96\) 2.12178 2.30487i 0.216553 0.235240i
\(97\) 2.35349 + 1.63187i 0.238960 + 0.165691i 0.683234 0.730200i \(-0.260573\pi\)
−0.444273 + 0.895891i \(0.646538\pi\)
\(98\) 4.43471 + 3.07496i 0.447973 + 0.310618i
\(99\) 13.2384 + 22.9296i 1.33051 + 2.30451i
\(100\) −3.14589 3.06037i −0.314589 0.306037i
\(101\) −9.75002 8.49130i −0.970163 0.844916i 0.0177630 0.999842i \(-0.494346\pi\)
−0.987926 + 0.154927i \(0.950486\pi\)
\(102\) 3.81241 2.96731i 0.377484 0.293808i
\(103\) 7.27659 + 11.1376i 0.716983 + 1.09742i 0.990759 + 0.135631i \(0.0433062\pi\)
−0.273776 + 0.961793i \(0.588273\pi\)
\(104\) −4.92032 + 4.78656i −0.482477 + 0.469361i
\(105\) −0.925738 + 2.95975i −0.0903428 + 0.288842i
\(106\) 8.77141 + 9.52829i 0.851955 + 0.925470i
\(107\) 8.02583 + 4.34336i 0.775886 + 0.419889i 0.815084 0.579343i \(-0.196691\pi\)
−0.0391978 + 0.999231i \(0.512480\pi\)
\(108\) −0.329264 11.9451i −0.0316835 1.14942i
\(109\) −1.68804 + 8.64184i −0.161685 + 0.827738i 0.809079 + 0.587701i \(0.199967\pi\)
−0.970764 + 0.240037i \(0.922840\pi\)
\(110\) 2.29048 + 1.99478i 0.218389 + 0.190195i
\(111\) 4.19670 5.09577i 0.398333 0.483669i
\(112\) 1.26438 0.0697576i 0.119472 0.00659148i
\(113\) 5.95229 + 9.11066i 0.559945 + 0.857059i 0.999146 0.0413299i \(-0.0131595\pi\)
−0.439201 + 0.898389i \(0.644738\pi\)
\(114\) −8.34931 + 10.8057i −0.781984 + 1.01204i
\(115\) 1.75476 2.68586i 0.163632 0.250457i
\(116\) 1.35605 2.34874i 0.125906 0.218075i
\(117\) −1.28891 + 46.7592i −0.119160 + 4.32289i
\(118\) −9.45624 2.11919i −0.870517 0.195087i
\(119\) 1.94091 + 0.214820i 0.177923 + 0.0196925i
\(120\) −0.858705 2.29350i −0.0783887 0.209367i
\(121\) 3.23281 + 2.51620i 0.293892 + 0.228745i
\(122\) 4.81839 7.37509i 0.436236 0.667709i
\(123\) 26.6457 12.5744i 2.40256 1.13380i
\(124\) 0.174544 + 6.33212i 0.0156745 + 0.568642i
\(125\) −6.94187 + 2.38315i −0.620900 + 0.213155i
\(126\) 5.84429 6.34859i 0.520651 0.565578i
\(127\) 0.648781 + 1.12372i 0.0575700 + 0.0997142i 0.893374 0.449314i \(-0.148331\pi\)
−0.835804 + 0.549028i \(0.814998\pi\)
\(128\) −0.754107 + 0.656752i −0.0666542 + 0.0580492i
\(129\) −0.690034 25.0331i −0.0607541 2.20405i
\(130\) 1.60187 + 5.12145i 0.140493 + 0.449181i
\(131\) 0.180140 6.53514i 0.0157389 0.570978i −0.950116 0.311895i \(-0.899036\pi\)
0.965855 0.259082i \(-0.0834200\pi\)
\(132\) −4.88954 11.1470i −0.425580 0.970224i
\(133\) −5.46465 + 0.777437i −0.473845 + 0.0674123i
\(134\) −4.67437 + 10.6565i −0.403804 + 0.920580i
\(135\) −8.44790 3.98666i −0.727080 0.343117i
\(136\) −1.31375 + 0.807558i −0.112653 + 0.0692475i
\(137\) 5.69616 3.94963i 0.486656 0.337440i −0.300928 0.953647i \(-0.597297\pi\)
0.787584 + 0.616207i \(0.211332\pi\)
\(138\) −10.9533 + 6.73299i −0.932410 + 0.573150i
\(139\) −0.367720 + 2.65180i −0.0311896 + 0.224923i −0.999712 0.0240039i \(-0.992359\pi\)
0.968522 + 0.248927i \(0.0800779\pi\)
\(140\) 0.397638 0.906523i 0.0336065 0.0766152i
\(141\) 22.0721 + 3.68317i 1.85880 + 0.310179i
\(142\) −12.0575 + 1.33453i −1.01185 + 0.111991i
\(143\) 9.35199 + 24.9781i 0.782053 + 2.08877i
\(144\) −0.562726 + 6.79110i −0.0468939 + 0.565925i
\(145\) −1.15959 1.77489i −0.0962988 0.147396i
\(146\) −4.93585 3.03406i −0.408494 0.251100i
\(147\) −16.8804 + 0.931317i −1.39227 + 0.0768137i
\(148\) −1.51041 + 1.46935i −0.124155 + 0.120780i
\(149\) −5.98510 1.69242i −0.490318 0.138649i 0.0179651 0.999839i \(-0.494281\pi\)
−0.508284 + 0.861190i \(0.669720\pi\)
\(150\) 13.6661 + 1.51256i 1.11583 + 0.123500i
\(151\) −1.55699 6.14841i −0.126706 0.500350i −0.999915 0.0130053i \(-0.995860\pi\)
0.873210 0.487345i \(-0.162035\pi\)
\(152\) 3.02840 3.13509i 0.245636 0.254289i
\(153\) −2.57968 + 10.1869i −0.208554 + 0.823563i
\(154\) 1.72518 4.60776i 0.139019 0.371304i
\(155\) 4.47825 + 2.11334i 0.359702 + 0.169747i
\(156\) 2.95377 21.3011i 0.236491 1.70545i
\(157\) −5.41784 + 14.4704i −0.432391 + 1.15486i 0.521114 + 0.853487i \(0.325517\pi\)
−0.953505 + 0.301377i \(0.902554\pi\)
\(158\) 5.33344 7.25640i 0.424305 0.577288i
\(159\) −40.0191 6.67801i −3.17372 0.529601i
\(160\) 0.191902 + 0.757805i 0.0151712 + 0.0599097i
\(161\) −5.07122 1.13649i −0.399668 0.0895677i
\(162\) 10.8026 + 13.1168i 0.848731 + 1.03056i
\(163\) 11.8002 + 6.38594i 0.924261 + 0.500185i 0.867075 0.498178i \(-0.165998\pi\)
0.0571866 + 0.998364i \(0.481787\pi\)
\(164\) −8.89534 + 3.05377i −0.694609 + 0.238460i
\(165\) −9.50092 0.524180i −0.739645 0.0408074i
\(166\) −5.77293 4.00286i −0.448066 0.310682i
\(167\) 8.30210 + 0.458040i 0.642436 + 0.0354442i 0.373377 0.927680i \(-0.378200\pi\)
0.269059 + 0.963124i \(0.413287\pi\)
\(168\) −2.99158 + 2.60537i −0.230805 + 0.201009i
\(169\) −6.54130 + 33.4878i −0.503177 + 2.57598i
\(170\) 0.0995495 + 1.20138i 0.00763510 + 0.0921420i
\(171\) −0.104823 29.7030i −0.00801601 2.27144i
\(172\) −0.660116 + 7.96642i −0.0503334 + 0.607434i
\(173\) −9.81612 2.77573i −0.746306 0.211035i −0.122342 0.992488i \(-0.539040\pi\)
−0.623964 + 0.781453i \(0.714479\pi\)
\(174\) 1.16701 + 8.41589i 0.0884710 + 0.638007i
\(175\) 3.53314 + 4.29006i 0.267081 + 0.324298i
\(176\) 1.15986 + 3.70828i 0.0874278 + 0.279522i
\(177\) 27.4556 12.9566i 2.06369 0.973877i
\(178\) 0.727906 + 8.78452i 0.0545589 + 0.658427i
\(179\) −3.27526 + 2.54924i −0.244804 + 0.190539i −0.729181 0.684320i \(-0.760099\pi\)
0.484377 + 0.874859i \(0.339046\pi\)
\(180\) 4.53815 + 2.78959i 0.338254 + 0.207924i
\(181\) −8.93352 5.49141i −0.664023 0.408173i 0.150256 0.988647i \(-0.451990\pi\)
−0.814279 + 0.580474i \(0.802867\pi\)
\(182\) 6.85957 5.33902i 0.508465 0.395754i
\(183\) 2.27907 + 27.5043i 0.168474 + 2.03318i
\(184\) 3.71156 1.75153i 0.273620 0.129124i
\(185\) 0.491732 + 1.57215i 0.0361528 + 0.115587i
\(186\) −12.6158 15.3185i −0.925034 1.12321i
\(187\) 0.822988 + 5.93496i 0.0601828 + 0.434007i
\(188\) −6.87340 1.94361i −0.501294 0.141752i
\(189\) −1.24958 + 15.0801i −0.0908933 + 1.09692i
\(190\) −1.11777 3.21891i −0.0810914 0.233524i
\(191\) 0.0737188 + 0.889654i 0.00533410 + 0.0643731i 0.998732 0.0503497i \(-0.0160336\pi\)
−0.993398 + 0.114723i \(0.963402\pi\)
\(192\) 0.600589 3.07468i 0.0433438 0.221896i
\(193\) 15.0036 13.0667i 1.07999 0.940560i 0.0815607 0.996668i \(-0.474010\pi\)
0.998425 + 0.0561082i \(0.0178692\pi\)
\(194\) 2.85955 + 0.157766i 0.205304 + 0.0113269i
\(195\) −13.8148 9.57900i −0.989301 0.685966i
\(196\) 5.38829 + 0.297280i 0.384878 + 0.0212343i
\(197\) −16.2980 + 5.59510i −1.16118 + 0.398634i −0.836916 0.547332i \(-0.815644\pi\)
−0.324266 + 0.945966i \(0.605117\pi\)
\(198\) 23.2857 + 12.6016i 1.65484 + 0.895555i
\(199\) −11.3697 13.8054i −0.805975 0.978641i 0.194022 0.980997i \(-0.437847\pi\)
−0.999997 + 0.00235597i \(0.999250\pi\)
\(200\) −4.28268 0.959771i −0.302831 0.0678660i
\(201\) −8.94917 35.3395i −0.631226 2.49265i
\(202\) −12.7529 2.12808i −0.897290 0.149731i
\(203\) −2.03393 + 2.76726i −0.142754 + 0.194223i
\(204\) 1.69396 4.52437i 0.118601 0.316769i
\(205\) −1.00983 + 7.28239i −0.0705298 + 0.508624i
\(206\) 12.0315 + 5.67782i 0.838278 + 0.395593i
\(207\) 9.80620 26.1912i 0.681578 1.82041i
\(208\) −1.68512 + 6.65440i −0.116842 + 0.461400i
\(209\) −6.42860 15.6687i −0.444675 1.08383i
\(210\) 0.761286 + 3.00625i 0.0525338 + 0.207451i
\(211\) 1.76355 + 0.195190i 0.121408 + 0.0134374i 0.170507 0.985356i \(-0.445460\pi\)
−0.0490989 + 0.998794i \(0.515635\pi\)
\(212\) 12.4622 + 3.52399i 0.855911 + 0.242028i
\(213\) 27.2409 26.5003i 1.86651 1.81577i
\(214\) 9.11186 0.502715i 0.622874 0.0343649i
\(215\) 5.32356 + 3.27238i 0.363064 + 0.223174i
\(216\) −6.53583 10.0038i −0.444707 0.680674i
\(217\) 0.662403 7.99402i 0.0449669 0.542669i
\(218\) 3.08742 + 8.24613i 0.209106 + 0.558498i
\(219\) 18.0406 1.99673i 1.21907 0.134927i
\(220\) 2.99592 + 0.499931i 0.201985 + 0.0337053i
\(221\) −4.25222 + 9.69409i −0.286036 + 0.652095i
\(222\) 0.906733 6.53888i 0.0608559 0.438861i
\(223\) 7.60711 4.67607i 0.509410 0.313133i −0.245015 0.969519i \(-0.578793\pi\)
0.754425 + 0.656386i \(0.227916\pi\)
\(224\) 1.04062 0.721548i 0.0695292 0.0482105i
\(225\) −25.4789 + 15.6618i −1.69859 + 1.04412i
\(226\) 9.84188 + 4.64449i 0.654672 + 0.308947i
\(227\) 9.85643 22.4704i 0.654194 1.49141i −0.204470 0.978873i \(-0.565547\pi\)
0.858664 0.512539i \(-0.171295\pi\)
\(228\) −1.45431 + 13.5779i −0.0963141 + 0.899215i
\(229\) 7.44273 + 16.9677i 0.491830 + 1.12126i 0.970025 + 0.243005i \(0.0781331\pi\)
−0.478196 + 0.878253i \(0.658709\pi\)
\(230\) 0.0884018 3.20705i 0.00582904 0.211467i
\(231\) 4.60123 + 14.7109i 0.302739 + 0.967909i
\(232\) −0.0747299 2.71106i −0.00490626 0.177990i
\(233\) 13.5240 11.7781i 0.885989 0.771609i −0.0884924 0.996077i \(-0.528205\pi\)
0.974481 + 0.224468i \(0.0720645\pi\)
\(234\) 23.3885 + 40.5100i 1.52895 + 2.64822i
\(235\) −3.78180 + 4.10814i −0.246698 + 0.267985i
\(236\) −9.16571 + 3.14659i −0.596637 + 0.204826i
\(237\) 0.777381 + 28.2019i 0.0504963 + 1.83191i
\(238\) 1.76600 0.833394i 0.114473 0.0540209i
\(239\) 12.2769 18.7912i 0.794129 1.21550i −0.178683 0.983907i \(-0.557184\pi\)
0.972812 0.231598i \(-0.0743953\pi\)
\(240\) −1.93259 1.50420i −0.124748 0.0970954i
\(241\) −7.34228 19.6104i −0.472958 1.26321i −0.927945 0.372716i \(-0.878426\pi\)
0.454987 0.890498i \(-0.349644\pi\)
\(242\) 4.07176 + 0.450662i 0.261743 + 0.0289697i
\(243\) −16.9645 3.80182i −1.08827 0.243887i
\(244\) 0.242742 8.80624i 0.0155400 0.563762i
\(245\) 2.10928 3.65339i 0.134757 0.233406i
\(246\) 16.1151 24.6660i 1.02746 1.57265i
\(247\) 4.82072 29.5306i 0.306735 1.87898i
\(248\) 3.46466 + 5.30306i 0.220006 + 0.336744i
\(249\) 21.9742 1.21235i 1.39256 0.0768295i
\(250\) −4.66592 + 5.66552i −0.295099 + 0.358319i
\(251\) −7.73728 6.73840i −0.488373 0.425324i 0.377181 0.926139i \(-0.376893\pi\)
−0.865554 + 0.500815i \(0.833034\pi\)
\(252\) 1.65428 8.46899i 0.104210 0.533496i
\(253\) −0.439386 15.9401i −0.0276240 1.00215i
\(254\) 1.14117 + 0.617571i 0.0716035 + 0.0387499i
\(255\) −2.55781 2.77852i −0.160176 0.173998i
\(256\) −0.298515 + 0.954405i −0.0186572 + 0.0596503i
\(257\) 18.1063 17.6141i 1.12944 1.09873i 0.135280 0.990807i \(-0.456807\pi\)
0.994159 0.107928i \(-0.0344215\pi\)
\(258\) −13.6970 20.9649i −0.852740 1.30522i
\(259\) 2.10571 1.63894i 0.130843 0.101839i
\(260\) 4.04662 + 3.52421i 0.250961 + 0.218562i
\(261\) −13.2470 12.8869i −0.819969 0.797678i
\(262\) −3.26881 5.66174i −0.201948 0.349784i
\(263\) −3.72331 2.58168i −0.229589 0.159193i 0.449427 0.893317i \(-0.351628\pi\)
−0.679016 + 0.734124i \(0.737593\pi\)
\(264\) −10.0029 6.93585i −0.615635 0.426872i
\(265\) 6.85684 7.44851i 0.421212 0.457558i
\(266\) −4.24832 + 3.52400i −0.260481 + 0.216070i
\(267\) −18.7027 20.3166i −1.14459 1.24335i
\(268\) 1.59833 + 11.5263i 0.0976334 + 0.704081i
\(269\) 10.2766 + 1.13742i 0.626576 + 0.0693495i 0.417689 0.908590i \(-0.362840\pi\)
0.208888 + 0.977940i \(0.433016\pi\)
\(270\) −9.28464 + 1.02762i −0.565045 + 0.0625392i
\(271\) 2.21412 + 4.37522i 0.134498 + 0.265776i 0.949552 0.313609i \(-0.101538\pi\)
−0.815054 + 0.579385i \(0.803293\pi\)
\(272\) −0.696311 + 1.37595i −0.0422201 + 0.0834291i
\(273\) −6.68497 + 26.3984i −0.404593 + 1.59770i
\(274\) 2.78435 6.34769i 0.168209 0.383478i
\(275\) −10.0993 + 13.7406i −0.609009 + 0.828587i
\(276\) −5.80547 + 11.4719i −0.349448 + 0.690529i
\(277\) −7.97483 + 1.33076i −0.479161 + 0.0799579i −0.399246 0.916844i \(-0.630728\pi\)
−0.0799152 + 0.996802i \(0.525465\pi\)
\(278\) 1.07541 + 2.45169i 0.0644988 + 0.147042i
\(279\) 42.1211 + 9.43955i 2.52172 + 0.565131i
\(280\) −0.135966 0.980517i −0.00812553 0.0585971i
\(281\) 0.0478260 0.152908i 0.00285306 0.00912173i −0.952968 0.303072i \(-0.901988\pi\)
0.955821 + 0.293951i \(0.0949701\pi\)
\(282\) 20.7324 8.42077i 1.23460 0.501450i
\(283\) −8.35476 + 10.1446i −0.496639 + 0.603035i −0.958912 0.283702i \(-0.908437\pi\)
0.462274 + 0.886737i \(0.347034\pi\)
\(284\) −9.57319 + 7.45111i −0.568064 + 0.442142i
\(285\) 8.95719 + 5.80702i 0.530578 + 0.343978i
\(286\) 21.0475 + 16.3819i 1.24456 + 0.968683i
\(287\) 11.6212 2.60437i 0.685978 0.153731i
\(288\) 3.07692 + 6.08015i 0.181309 + 0.358276i
\(289\) 8.65962 11.7818i 0.509389 0.693049i
\(290\) −1.91734 0.904814i −0.112590 0.0531325i
\(291\) −7.37298 + 5.11231i −0.432212 + 0.299689i
\(292\) −5.79380 −0.339057
\(293\) −22.2422 −1.29941 −0.649703 0.760188i \(-0.725107\pi\)
−0.649703 + 0.760188i \(0.725107\pi\)
\(294\) −13.8930 + 9.63320i −0.810257 + 0.561820i
\(295\) −1.04053 + 7.50374i −0.0605818 + 0.436884i
\(296\) −0.517290 + 2.04273i −0.0300669 + 0.118731i
\(297\) −45.7963 + 7.64205i −2.65737 + 0.443437i
\(298\) −5.98510 + 1.69242i −0.346707 + 0.0980395i
\(299\) 14.0862 24.3979i 0.814623 1.41097i
\(300\) 12.4345 5.86797i 0.717905 0.338787i
\(301\) 1.94058 9.93469i 0.111853 0.572626i
\(302\) −4.54618 4.42260i −0.261603 0.254492i
\(303\) 35.6227 19.2780i 2.04647 1.10749i
\(304\) 0.938193 4.25674i 0.0538090 0.244141i
\(305\) −6.05665 3.27770i −0.346803 0.187680i
\(306\) 3.13693 + 10.0293i 0.179327 + 0.573339i
\(307\) −17.3344 + 30.0241i −0.989327 + 1.71356i −0.368470 + 0.929640i \(0.620118\pi\)
−0.620856 + 0.783924i \(0.713215\pi\)
\(308\) −0.943241 4.82887i −0.0537462 0.275150i
\(309\) −40.6698 + 9.11432i −2.31362 + 0.518495i
\(310\) 4.92181 0.544746i 0.279540 0.0309395i
\(311\) −3.17107 12.5223i −0.179815 0.710074i −0.991953 0.126608i \(-0.959591\pi\)
0.812138 0.583466i \(-0.198304\pi\)
\(312\) −8.63841 19.6936i −0.489054 1.11493i
\(313\) 24.2988 6.87104i 1.37345 0.388374i 0.496115 0.868257i \(-0.334759\pi\)
0.877333 + 0.479883i \(0.159321\pi\)
\(314\) 2.96220 + 15.1648i 0.167166 + 0.855799i
\(315\) −5.32318 4.14320i −0.299927 0.233443i
\(316\) 0.743677 8.97484i 0.0418351 0.504874i
\(317\) −15.3261 + 14.9094i −0.860797 + 0.837396i −0.987996 0.154481i \(-0.950629\pi\)
0.127199 + 0.991877i \(0.459401\pi\)
\(318\) −37.5902 + 15.2678i −2.10795 + 0.856176i
\(319\) −9.76308 3.96542i −0.546628 0.222021i
\(320\) 0.560327 + 0.545095i 0.0313232 + 0.0304717i
\(321\) −21.5591 + 18.7759i −1.20331 + 1.04797i
\(322\) −4.91542 + 1.68746i −0.273925 + 0.0940387i
\(323\) 2.50751 6.23666i 0.139522 0.347017i
\(324\) 16.0719 + 5.51748i 0.892881 + 0.306526i
\(325\) −27.9129 + 11.3372i −1.54833 + 0.628877i
\(326\) 13.3969 0.739130i 0.741988 0.0409366i
\(327\) −23.5000 14.4454i −1.29955 0.798831i
\(328\) −5.97893 + 7.25982i −0.330131 + 0.400856i
\(329\) 8.38021 + 3.40375i 0.462016 + 0.187655i
\(330\) −8.36852 + 4.52881i −0.460672 + 0.249303i
\(331\) −15.8027 + 17.1663i −0.868597 + 0.943548i −0.998851 0.0479331i \(-0.984737\pi\)
0.130254 + 0.991481i \(0.458421\pi\)
\(332\) −7.01425 0.386987i −0.384957 0.0212387i
\(333\) 7.17966 + 12.4355i 0.393443 + 0.681463i
\(334\) 7.31258 3.95737i 0.400127 0.216538i
\(335\) 8.60374 + 2.95367i 0.470073 + 0.161376i
\(336\) −1.18422 + 3.78617i −0.0646047 + 0.206553i
\(337\) 26.6069 + 7.52371i 1.44937 + 0.409842i 0.903703 0.428160i \(-0.140838\pi\)
0.545666 + 0.838003i \(0.316277\pi\)
\(338\) 11.9640 + 31.9544i 0.650756 + 1.73809i
\(339\) −33.2681 + 7.45557i −1.80688 + 0.404931i
\(340\) 0.713941 + 0.971351i 0.0387189 + 0.0526789i
\(341\) 24.2767 4.05107i 1.31466 0.219378i
\(342\) −15.6439 25.2497i −0.845928 1.36534i
\(343\) −15.4836 2.58375i −0.836034 0.139509i
\(344\) 3.60943 + 7.13243i 0.194608 + 0.384555i
\(345\) 5.95246 + 8.09861i 0.320470 + 0.436015i
\(346\) −9.81612 + 2.77573i −0.527718 + 0.149224i
\(347\) 0.0756247 2.74353i 0.00405975 0.147280i −0.994874 0.101120i \(-0.967758\pi\)
0.998934 0.0461606i \(-0.0146986\pi\)
\(348\) 5.40137 + 6.55852i 0.289544 + 0.351574i
\(349\) −13.0186 14.1420i −0.696870 0.757002i 0.282459 0.959279i \(-0.408850\pi\)
−0.979328 + 0.202277i \(0.935166\pi\)
\(350\) 5.25654 + 1.80457i 0.280974 + 0.0964585i
\(351\) −75.9981 30.8678i −4.05648 1.64760i
\(352\) 2.93003 + 2.55177i 0.156171 + 0.136010i
\(353\) −1.82479 22.0219i −0.0971237 1.17211i −0.854614 0.519263i \(-0.826206\pi\)
0.757491 0.652846i \(-0.226425\pi\)
\(354\) 16.6049 25.4157i 0.882541 1.35083i
\(355\) 1.81804 + 9.30734i 0.0964914 + 0.493982i
\(356\) 5.22033 + 7.10252i 0.276677 + 0.376433i
\(357\) −2.76230 + 5.45846i −0.146197 + 0.288892i
\(358\) −1.45529 + 3.88691i −0.0769145 + 0.205430i
\(359\) −18.0343 + 11.0856i −0.951811 + 0.585076i −0.910250 0.414060i \(-0.864110\pi\)
−0.0415617 + 0.999136i \(0.513233\pi\)
\(360\) 5.32697 0.280756
\(361\) −2.47682 + 18.8379i −0.130359 + 0.991467i
\(362\) −10.4863 −0.551150
\(363\) −10.9334 + 6.72075i −0.573855 + 0.352748i
\(364\) 3.04790 8.14058i 0.159753 0.426682i
\(365\) −2.04507 + 4.04117i −0.107044 + 0.211524i
\(366\) 16.3449 + 22.2380i 0.854359 + 1.16240i
\(367\) −0.259944 1.33077i −0.0135690 0.0694655i 0.974052 0.226323i \(-0.0726706\pi\)
−0.987621 + 0.156858i \(0.949864\pi\)
\(368\) 2.24472 3.43580i 0.117014 0.179104i
\(369\) 5.29240 + 63.8698i 0.275511 + 3.32493i
\(370\) 1.24221 + 1.08184i 0.0645795 + 0.0562423i
\(371\) −15.1943 6.17138i −0.788847 0.320402i
\(372\) −18.7695 6.44358i −0.973154 0.334084i
\(373\) 9.01990 + 9.79822i 0.467033 + 0.507333i 0.924127 0.382085i \(-0.124794\pi\)
−0.457094 + 0.889418i \(0.651110\pi\)
\(374\) 3.80909 + 4.62513i 0.196964 + 0.239160i
\(375\) 0.633564 22.9845i 0.0327171 1.18692i
\(376\) −6.87340 + 1.94361i −0.354468 + 0.100234i
\(377\) −11.0257 15.0009i −0.567850 0.772588i
\(378\) 6.83252 + 13.5014i 0.351427 + 0.694439i
\(379\) 11.4260 + 1.90667i 0.586915 + 0.0979389i 0.450599 0.892726i \(-0.351210\pi\)
0.136316 + 0.990665i \(0.456474\pi\)
\(380\) −2.63791 2.15691i −0.135322 0.110647i
\(381\) −4.00955 + 0.669075i −0.205415 + 0.0342778i
\(382\) 0.528690 + 0.719309i 0.0270501 + 0.0368030i
\(383\) −4.74126 + 1.06254i −0.242267 + 0.0542933i −0.338123 0.941102i \(-0.609792\pi\)
0.0958562 + 0.995395i \(0.469441\pi\)
\(384\) −1.09847 2.93389i −0.0560563 0.149720i
\(385\) −3.70107 1.04656i −0.188624 0.0533377i
\(386\) 5.93922 18.9888i 0.302299 0.966502i
\(387\) 51.5208 + 17.6871i 2.61895 + 0.899086i
\(388\) 2.51872 1.36306i 0.127869 0.0691991i
\(389\) −7.44848 12.9011i −0.377653 0.654114i 0.613067 0.790031i \(-0.289935\pi\)
−0.990720 + 0.135917i \(0.956602\pi\)
\(390\) −16.7854 0.926076i −0.849961 0.0468937i
\(391\) 4.28646 4.65634i 0.216776 0.235481i
\(392\) 4.74607 2.56844i 0.239713 0.129726i
\(393\) 18.9755 + 7.70719i 0.957188 + 0.388776i
\(394\) −10.9545 + 13.3014i −0.551882 + 0.670113i
\(395\) −5.99744 3.68661i −0.301764 0.185494i
\(396\) 26.4366 1.45855i 1.32849 0.0732948i
\(397\) 33.1685 13.4719i 1.66468 0.676134i 0.667054 0.745009i \(-0.267555\pi\)
0.997625 + 0.0688751i \(0.0219410\pi\)
\(398\) −16.9156 5.80713i −0.847901 0.291085i
\(399\) 3.72186 16.8867i 0.186326 0.845392i
\(400\) −4.15110 + 1.42508i −0.207555 + 0.0712538i
\(401\) 9.06993 7.89901i 0.452931 0.394458i −0.399972 0.916527i \(-0.630980\pi\)
0.852903 + 0.522070i \(0.174840\pi\)
\(402\) −26.1303 25.4200i −1.30326 1.26783i
\(403\) 40.2868 + 16.3631i 2.00683 + 0.815103i
\(404\) −11.9789 + 4.86539i −0.595970 + 0.242062i
\(405\) 9.52140 9.26256i 0.473122 0.460260i
\(406\) −0.283604 + 3.42259i −0.0140750 + 0.169860i
\(407\) 6.46104 + 5.02883i 0.320262 + 0.249270i
\(408\) −0.926170 4.74148i −0.0458523 0.234738i
\(409\) 8.87869 2.51065i 0.439023 0.124144i −0.0454175 0.998968i \(-0.514462\pi\)
0.484440 + 0.874824i \(0.339023\pi\)
\(410\) 2.95329 + 6.73283i 0.145853 + 0.332511i
\(411\) 5.33071 + 21.0505i 0.262944 + 1.03834i
\(412\) 13.2232 1.46355i 0.651462 0.0721038i
\(413\) 11.9744 2.68353i 0.589223 0.132048i
\(414\) −5.36153 27.4480i −0.263505 1.34900i
\(415\) −2.74578 + 4.75583i −0.134785 + 0.233455i
\(416\) 2.04914 + 6.55147i 0.100467 + 0.321212i
\(417\) −7.37617 3.99179i −0.361213 0.195479i
\(418\) −13.6819 9.98201i −0.669205 0.488236i
\(419\) −4.51690 + 2.44443i −0.220665 + 0.119418i −0.582520 0.812817i \(-0.697933\pi\)
0.361855 + 0.932235i \(0.382144\pi\)
\(420\) 2.22285 + 2.16242i 0.108464 + 0.105515i
\(421\) 1.54926 7.93133i 0.0755061 0.386549i −0.924480 0.381231i \(-0.875500\pi\)
0.999986 0.00531805i \(-0.00169280\pi\)
\(422\) 1.60462 0.757238i 0.0781117 0.0368618i
\(423\) −24.3372 + 42.1533i −1.18332 + 2.04957i
\(424\) 12.4622 3.52399i 0.605220 0.171140i
\(425\) −6.67584 + 1.11400i −0.323826 + 0.0540369i
\(426\) 9.32952 36.8415i 0.452017 1.78497i
\(427\) −1.53226 + 11.0498i −0.0741512 + 0.534740i
\(428\) 7.49931 5.19991i 0.362493 0.251347i
\(429\) −83.5559 −4.03412
\(430\) 6.24890 0.301349
\(431\) −12.3436 + 8.55886i −0.594570 + 0.412266i −0.828501 0.559987i \(-0.810806\pi\)
0.233931 + 0.972253i \(0.424841\pi\)
\(432\) −10.8067 5.09982i −0.519939 0.245365i
\(433\) −6.40827 + 8.71877i −0.307962 + 0.418997i −0.932035 0.362369i \(-0.881968\pi\)
0.624073 + 0.781366i \(0.285477\pi\)
\(434\) −3.62194 7.15714i −0.173859 0.343554i
\(435\) 6.48111 1.45245i 0.310745 0.0696397i
\(436\) 6.94851 + 5.40824i 0.332773 + 0.259008i
\(437\) −8.45879 + 15.7631i −0.404639 + 0.754052i
\(438\) 14.3235 11.1484i 0.684403 0.532693i
\(439\) −12.5569 + 15.2470i −0.599309 + 0.727701i −0.980440 0.196820i \(-0.936938\pi\)
0.381130 + 0.924521i \(0.375535\pi\)
\(440\) 2.81408 1.14298i 0.134156 0.0544895i
\(441\) 10.9775 35.0970i 0.522737 1.67128i
\(442\) 1.45398 + 10.4854i 0.0691589 + 0.498738i
\(443\) 7.09487 + 1.59000i 0.337087 + 0.0755430i 0.383938 0.923359i \(-0.374568\pi\)
−0.0468507 + 0.998902i \(0.514919\pi\)
\(444\) −2.65177 6.04543i −0.125848 0.286904i
\(445\) 6.79664 1.13416i 0.322192 0.0537643i
\(446\) 4.03191 7.96727i 0.190917 0.377261i
\(447\) 11.5399 15.7006i 0.545817 0.742611i
\(448\) 0.508667 1.15964i 0.0240323 0.0547880i
\(449\) 4.02317 15.8872i 0.189865 0.749761i −0.799048 0.601267i \(-0.794663\pi\)
0.988913 0.148494i \(-0.0474425\pi\)
\(450\) −13.5043 + 26.6852i −0.636599 + 1.25795i
\(451\) 16.5000 + 32.6050i 0.776957 + 1.53531i
\(452\) 10.8167 1.19719i 0.508774 0.0563111i
\(453\) 19.7491 + 2.18583i 0.927893 + 0.102699i
\(454\) −3.37025 24.3045i −0.158174 1.14067i
\(455\) −4.60221 4.99933i −0.215755 0.234372i
\(456\) 5.87140 + 12.3288i 0.274953 + 0.577350i
\(457\) −15.0613 + 16.3609i −0.704536 + 0.765330i −0.980645 0.195796i \(-0.937271\pi\)
0.276108 + 0.961127i \(0.410955\pi\)
\(458\) 15.2261 + 10.5576i 0.711471 + 0.493323i
\(459\) −15.1434 10.5002i −0.706832 0.490106i
\(460\) −1.60413 2.77844i −0.0747932 0.129546i
\(461\) −15.3886 14.9703i −0.716720 0.697236i 0.245534 0.969388i \(-0.421037\pi\)
−0.962254 + 0.272152i \(0.912265\pi\)
\(462\) 11.6236 + 10.1230i 0.540779 + 0.470965i
\(463\) 5.83835 4.54417i 0.271331 0.211185i −0.469403 0.882984i \(-0.655531\pi\)
0.740734 + 0.671799i \(0.234478\pi\)
\(464\) −1.48337 2.27047i −0.0688639 0.105404i
\(465\) −11.1196 + 10.8173i −0.515657 + 0.501639i
\(466\) 5.35352 17.1162i 0.247997 0.792891i
\(467\) 6.01529 + 6.53435i 0.278355 + 0.302374i 0.859200 0.511640i \(-0.170962\pi\)
−0.580845 + 0.814014i \(0.697278\pi\)
\(468\) 41.1391 + 22.2634i 1.90165 + 1.02912i
\(469\) −0.406025 14.7298i −0.0187485 0.680160i
\(470\) −1.07047 + 5.48023i −0.0493773 + 0.252784i
\(471\) −36.5033 31.7907i −1.68198 1.46484i
\(472\) −6.16066 + 7.48048i −0.283568 + 0.344317i
\(473\) 31.0119 1.71098i 1.42593 0.0786708i
\(474\) 15.4309 + 23.6187i 0.708763 + 1.08484i
\(475\) 17.4922 7.74653i 0.802599 0.355435i
\(476\) 1.06806 1.63479i 0.0489545 0.0749305i
\(477\) 44.1262 76.4288i 2.02040 3.49943i
\(478\) 0.618492 22.4377i 0.0282891 1.02628i
\(479\) −12.2181 2.73815i −0.558261 0.125109i −0.0695874 0.997576i \(-0.522168\pi\)
−0.488674 + 0.872467i \(0.662519\pi\)
\(480\) −2.43412 0.269408i −0.111102 0.0122967i
\(481\) 5.07192 + 13.5465i 0.231260 + 0.617667i
\(482\) −16.5244 12.8615i −0.752668 0.585825i
\(483\) 8.90493 13.6300i 0.405188 0.620187i
\(484\) 3.70481 1.74834i 0.168400 0.0794701i
\(485\) −0.0616882 2.23793i −0.00280112 0.101619i
\(486\) −16.4433 + 5.64498i −0.745881 + 0.256061i
\(487\) 1.83195 1.99003i 0.0830135 0.0901767i −0.692834 0.721097i \(-0.743638\pi\)
0.775848 + 0.630920i \(0.217322\pi\)
\(488\) −4.40479 7.62932i −0.199396 0.345363i
\(489\) −31.6978 + 27.6057i −1.43343 + 1.24837i
\(490\) −0.116240 4.21697i −0.00525118 0.190503i
\(491\) −7.49617 23.9666i −0.338297 1.08160i −0.955549 0.294831i \(-0.904737\pi\)
0.617252 0.786766i \(-0.288246\pi\)
\(492\) 0.811852 29.4525i 0.0366011 1.32782i
\(493\) −1.68002 3.83006i −0.0756644 0.172497i
\(494\) −11.3575 27.6821i −0.510997 1.24548i
\(495\) 8.31414 18.9543i 0.373693 0.851933i
\(496\) 5.72868 + 2.70343i 0.257225 + 0.121387i
\(497\) 13.0869 8.04450i 0.587029 0.360845i
\(498\) 18.0854 12.5401i 0.810424 0.561936i
\(499\) 14.2532 8.76144i 0.638063 0.392216i −0.166535 0.986036i \(-0.553258\pi\)
0.804598 + 0.593820i \(0.202381\pi\)
\(500\) −1.00811 + 7.26998i −0.0450842 + 0.325124i
\(501\) −10.4635 + 23.8543i −0.467474 + 1.06573i
\(502\) −10.1203 1.68877i −0.451689 0.0753736i
\(503\) −16.5000 + 1.82622i −0.735698 + 0.0814270i −0.470046 0.882642i \(-0.655763\pi\)
−0.265652 + 0.964069i \(0.585587\pi\)
\(504\) −3.02567 8.08119i −0.134774 0.359965i
\(505\) −0.834638 + 10.0726i −0.0371409 + 0.448224i
\(506\) −8.72173 13.3496i −0.387728 0.593462i
\(507\) −91.0642 55.9769i −4.04430 2.48602i
\(508\) 1.29559 0.0714798i 0.0574826 0.00317140i
\(509\) 24.0222 23.3691i 1.06476 1.03582i 0.0654841 0.997854i \(-0.479141\pi\)
0.999279 0.0379640i \(-0.0120872\pi\)
\(510\) −3.63409 1.02762i −0.160920 0.0455038i
\(511\) 7.29216 + 0.807096i 0.322586 + 0.0357038i
\(512\) 0.245485 + 0.969400i 0.0108490 + 0.0428418i
\(513\) 48.8444 + 18.0915i 2.15653 + 0.798758i
\(514\) 6.20108 24.4875i 0.273518 1.08010i
\(515\) 3.64665 9.73977i 0.160691 0.429186i
\(516\) −22.6475 10.6876i −0.997001 0.470496i
\(517\) −3.81202 + 27.4903i −0.167653 + 1.20902i
\(518\) 0.935628 2.49895i 0.0411091 0.109798i
\(519\) 18.9265 25.7504i 0.830780 1.13032i
\(520\) 5.29293 + 0.883234i 0.232110 + 0.0387324i
\(521\) 8.44323 + 33.3415i 0.369904 + 1.46072i 0.822378 + 0.568942i \(0.192647\pi\)
−0.452473 + 0.891778i \(0.649458\pi\)
\(522\) −18.0339 4.04149i −0.789322 0.176891i
\(523\) 12.0391 + 14.6183i 0.526433 + 0.639212i 0.965860 0.259066i \(-0.0834148\pi\)
−0.439426 + 0.898279i \(0.644818\pi\)
\(524\) −5.74966 3.11156i −0.251175 0.135929i
\(525\) −16.4676 + 5.65335i −0.718707 + 0.246732i
\(526\) −4.52391 0.249591i −0.197252 0.0108827i
\(527\) 8.02754 + 5.56617i 0.349685 + 0.242466i
\(528\) −12.1538 0.670543i −0.528925 0.0291816i
\(529\) 4.64264 4.04328i 0.201854 0.175795i
\(530\) 1.94089 9.93627i 0.0843069 0.431604i
\(531\) 5.45326 + 65.8111i 0.236651 + 2.85596i
\(532\) −1.77380 + 5.22690i −0.0769040 + 0.226615i
\(533\) −5.33129 + 64.3392i −0.230924 + 2.78684i
\(534\) −26.5724 7.51397i −1.14990 0.325161i
\(535\) −0.979854 7.06619i −0.0423628 0.305498i
\(536\) 7.39766 + 8.98248i 0.319530 + 0.387984i
\(537\) −3.88140 12.4095i −0.167495 0.535511i
\(538\) 9.35048 4.41260i 0.403128 0.190241i
\(539\) −1.73150 20.8961i −0.0745809 0.900058i
\(540\) −7.37162 + 5.73757i −0.317224 + 0.246905i
\(541\) 13.6408 + 8.38497i 0.586464 + 0.360498i 0.784906 0.619615i \(-0.212711\pi\)
−0.198442 + 0.980113i \(0.563588\pi\)
\(542\) 4.17744 + 2.56786i 0.179436 + 0.110299i
\(543\) 25.9245 20.1778i 1.11252 0.865913i
\(544\) 0.127346 + 1.53684i 0.00545991 + 0.0658913i
\(545\) 6.22489 2.93760i 0.266645 0.125833i
\(546\) 8.12905 + 25.9900i 0.347891 + 1.11227i
\(547\) −25.0721 30.4433i −1.07200 1.30166i −0.951061 0.309004i \(-0.900004\pi\)
−0.120944 0.992659i \(-0.538592\pi\)
\(548\) −0.952067 6.86581i −0.0406703 0.293293i
\(549\) −57.7667 16.3349i −2.46542 0.697155i
\(550\) −1.40821 + 16.9946i −0.0600463 + 0.724651i
\(551\) 7.29394 + 9.30333i 0.310732 + 0.396335i
\(552\) 1.06174 + 12.8133i 0.0451908 + 0.545371i
\(553\) −2.18623 + 11.1923i −0.0929679 + 0.475944i
\(554\) −6.09703 + 5.30991i −0.259038 + 0.225596i
\(555\) −5.15269 0.284282i −0.218719 0.0120671i
\(556\) 2.20004 + 1.52548i 0.0933026 + 0.0646946i
\(557\) 21.6598 + 1.19500i 0.917753 + 0.0506338i 0.507802 0.861474i \(-0.330458\pi\)
0.409951 + 0.912108i \(0.365546\pi\)
\(558\) 40.8270 14.0159i 1.72834 0.593342i
\(559\) 48.2589 + 26.1164i 2.04114 + 1.10461i
\(560\) −0.629302 0.764120i −0.0265929 0.0322900i
\(561\) −18.3166 4.10484i −0.773326 0.173306i
\(562\) −0.0393300 0.155311i −0.00165903 0.00655138i
\(563\) 17.4284 + 2.90829i 0.734521 + 0.122570i 0.520020 0.854154i \(-0.325924\pi\)
0.214501 + 0.976724i \(0.431188\pi\)
\(564\) 13.2526 18.0308i 0.558035 0.759234i
\(565\) 2.98298 7.96719i 0.125495 0.335182i
\(566\) −1.80512 + 13.0176i −0.0758747 + 0.547169i
\(567\) −19.4597 9.18324i −0.817229 0.385660i
\(568\) −4.25364 + 11.3610i −0.178479 + 0.476696i
\(569\) −3.27255 + 12.9230i −0.137192 + 0.541761i 0.862189 + 0.506587i \(0.169093\pi\)
−0.999381 + 0.0351735i \(0.988802\pi\)
\(570\) 10.6718 + 0.256480i 0.446992 + 0.0107427i
\(571\) 0.0311715 + 0.123093i 0.00130449 + 0.00515130i 0.970049 0.242909i \(-0.0781016\pi\)
−0.968745 + 0.248060i \(0.920207\pi\)
\(572\) 26.5095 + 2.93407i 1.10842 + 0.122680i
\(573\) −2.69113 0.760978i −0.112423 0.0317903i
\(574\) 8.53649 8.30443i 0.356306 0.346620i
\(575\) 17.9851 0.992265i 0.750030 0.0413803i
\(576\) 5.80530 + 3.56850i 0.241887 + 0.148688i
\(577\) 18.8545 + 28.8589i 0.784921 + 1.20141i 0.975556 + 0.219751i \(0.0705244\pi\)
−0.190635 + 0.981661i \(0.561055\pi\)
\(578\) 1.20747 14.5720i 0.0502241 0.606114i
\(579\) 21.8551 + 58.3725i 0.908268 + 2.42588i
\(580\) −2.10724 + 0.233230i −0.0874986 + 0.00968434i
\(581\) 8.77433 + 1.46418i 0.364021 + 0.0607443i
\(582\) −3.60401 + 8.21631i −0.149391 + 0.340577i
\(583\) 6.91162 49.8430i 0.286250 2.06429i
\(584\) −4.93585 + 3.03406i −0.204247 + 0.125550i
\(585\) 30.0497 20.8360i 1.24240 0.861463i
\(586\) −18.9486 + 11.6477i −0.782760 + 0.481160i
\(587\) −20.2804 9.57055i −0.837062 0.395019i −0.0402081 0.999191i \(-0.512802\pi\)
−0.796854 + 0.604172i \(0.793504\pi\)
\(588\) −6.79108 + 15.4821i −0.280060 + 0.638471i
\(589\) −25.8926 9.59034i −1.06688 0.395163i
\(590\) 3.04306 + 6.93748i 0.125281 + 0.285611i
\(591\) 1.48747 53.9625i 0.0611862 2.21972i
\(592\) 0.629034 + 2.01113i 0.0258531 + 0.0826571i
\(593\) −1.09518 39.7310i −0.0449736 1.63156i −0.600194 0.799854i \(-0.704910\pi\)
0.555220 0.831703i \(-0.312634\pi\)
\(594\) −35.0128 + 30.4927i −1.43659 + 1.25113i
\(595\) −0.763263 1.32201i −0.0312908 0.0541972i
\(596\) −4.21254 + 4.57604i −0.172553 + 0.187442i
\(597\) 52.9930 18.1925i 2.16886 0.744570i
\(598\) −0.776269 28.1616i −0.0317440 1.15161i
\(599\) 2.26498 1.06887i 0.0925445 0.0436728i −0.379945 0.925009i \(-0.624057\pi\)
0.472490 + 0.881336i \(0.343355\pi\)
\(600\) 7.52027 11.5106i 0.307014 0.469920i
\(601\) −20.5552 15.9987i −0.838463 0.652602i 0.101138 0.994872i \(-0.467751\pi\)
−0.939601 + 0.342270i \(0.888804\pi\)
\(602\) −3.54931 9.47979i −0.144659 0.386367i
\(603\) 78.8148 + 8.72322i 3.20959 + 0.355237i
\(604\) −6.18898 1.38698i −0.251826 0.0564355i
\(605\) 0.0882410 3.20122i 0.00358751 0.130148i
\(606\) 20.2523 35.0780i 0.822693 1.42495i
\(607\) −8.67610 + 13.2798i −0.352152 + 0.539009i −0.968676 0.248327i \(-0.920119\pi\)
0.616524 + 0.787336i \(0.288540\pi\)
\(608\) −1.42987 4.11770i −0.0579890 0.166995i
\(609\) −5.88462 9.00708i −0.238457 0.364985i
\(610\) −6.87622 + 0.379372i −0.278410 + 0.0153603i
\(611\) −31.1709 + 37.8488i −1.26104 + 1.53120i
\(612\) 7.92450 + 6.90146i 0.320329 + 0.278975i
\(613\) −2.97528 + 15.2318i −0.120170 + 0.615206i 0.871917 + 0.489654i \(0.162877\pi\)
−0.992087 + 0.125551i \(0.959930\pi\)
\(614\) 0.955276 + 34.6556i 0.0385518 + 1.39859i
\(615\) −20.2565 10.9623i −0.816820 0.442041i
\(616\) −3.33231 3.61986i −0.134263 0.145848i
\(617\) 7.58434 24.2485i 0.305334 0.976208i −0.667481 0.744626i \(-0.732628\pi\)
0.972816 0.231581i \(-0.0743899\pi\)
\(618\) −29.8745 + 29.0623i −1.20173 + 1.16906i
\(619\) −7.28034 11.1434i −0.292622 0.447891i 0.660347 0.750961i \(-0.270409\pi\)
−0.952968 + 0.303070i \(0.901988\pi\)
\(620\) 3.90772 3.04150i 0.156938 0.122149i
\(621\) 36.9831 + 32.2086i 1.48408 + 1.29249i
\(622\) −9.25908 9.00737i −0.371255 0.361163i
\(623\) −5.58098 9.66654i −0.223597 0.387282i
\(624\) −17.6722 12.2537i −0.707456 0.490539i
\(625\) −13.3186 9.23489i −0.532743 0.369395i
\(626\) 17.1024 18.5782i 0.683550 0.742533i
\(627\) 53.0320 1.64913i 2.11789 0.0658599i
\(628\) 10.4649 + 11.3680i 0.417597 + 0.453631i
\(629\) 0.446336 + 3.21874i 0.0177966 + 0.128340i
\(630\) −6.70460 0.742065i −0.267118 0.0295646i
\(631\) −32.8316 + 3.63380i −1.30701 + 0.144659i −0.736390 0.676557i \(-0.763471\pi\)
−0.570616 + 0.821217i \(0.693296\pi\)
\(632\) −4.06633 8.03529i −0.161750 0.319627i
\(633\) −2.50988 + 4.95966i −0.0997589 + 0.197129i
\(634\) −5.24891 + 20.7275i −0.208461 + 0.823193i
\(635\) 0.407455 0.928903i 0.0161693 0.0368624i
\(636\) −24.0285 + 32.6919i −0.952790 + 1.29632i
\(637\) 16.7266 33.0526i 0.662730 1.30959i
\(638\) −10.3939 + 1.73444i −0.411500 + 0.0686672i
\(639\) 33.2067 + 75.7036i 1.31364 + 2.99479i
\(640\) 0.762805 + 0.170949i 0.0301525 + 0.00675734i
\(641\) −0.690596 4.98022i −0.0272769 0.196707i 0.971989 0.235028i \(-0.0755183\pi\)
−0.999265 + 0.0383213i \(0.987799\pi\)
\(642\) −8.53423 + 27.2854i −0.336819 + 1.07687i
\(643\) 10.3927 4.22116i 0.409849 0.166466i −0.162065 0.986780i \(-0.551815\pi\)
0.571913 + 0.820314i \(0.306201\pi\)
\(644\) −3.30386 + 4.01165i −0.130190 + 0.158081i
\(645\) −15.4486 + 12.0241i −0.608288 + 0.473449i
\(646\) −1.12977 6.62625i −0.0444504 0.260706i
\(647\) −12.5155 9.74121i −0.492035 0.382966i 0.337584 0.941295i \(-0.390390\pi\)
−0.829620 + 0.558329i \(0.811443\pi\)
\(648\) 16.5813 3.71595i 0.651374 0.145976i
\(649\) 17.0016 + 33.5960i 0.667370 + 1.31876i
\(650\) −17.8425 + 24.2756i −0.699841 + 0.952168i
\(651\) 22.7260 + 10.7246i 0.890701 + 0.420332i
\(652\) 11.0261 7.64529i 0.431814 0.299413i
\(653\) 8.22120 0.321720 0.160860 0.986977i \(-0.448573\pi\)
0.160860 + 0.986977i \(0.448573\pi\)
\(654\) −27.5847 −1.07865
\(655\) −4.19980 + 2.91208i −0.164100 + 0.113784i
\(656\) −1.29180 + 9.31579i −0.0504363 + 0.363720i
\(657\) −9.69204 + 38.2730i −0.378123 + 1.49317i
\(658\) 8.92171 1.48877i 0.347805 0.0580383i
\(659\) 5.77899 1.63414i 0.225118 0.0636572i −0.157677 0.987491i \(-0.550400\pi\)
0.382794 + 0.923834i \(0.374962\pi\)
\(660\) −4.75768 + 8.24055i −0.185193 + 0.320763i
\(661\) −39.0722 + 18.4386i −1.51973 + 0.717180i −0.991279 0.131781i \(-0.957930\pi\)
−0.528455 + 0.848961i \(0.677229\pi\)
\(662\) −4.47311 + 22.8998i −0.173852 + 0.890026i
\(663\) −23.7705 23.1243i −0.923169 0.898073i
\(664\) −6.17823 + 3.34349i −0.239762 + 0.129753i
\(665\) 3.01964 + 3.08219i 0.117097 + 0.119522i
\(666\) 12.6287 + 6.83428i 0.489350 + 0.264823i
\(667\) 3.32267 + 10.6232i 0.128654 + 0.411330i
\(668\) 4.15736 7.20076i 0.160853 0.278606i
\(669\) 5.36289 + 27.4550i 0.207341 + 1.06147i
\(670\) 8.87645 1.98926i 0.342927 0.0768518i
\(671\) −34.0213 + 3.76548i −1.31338 + 0.145365i
\(672\) 0.973854 + 3.84566i 0.0375672 + 0.148350i
\(673\) −1.23915 2.82498i −0.0477657 0.108895i 0.890270 0.455432i \(-0.150515\pi\)
−0.938036 + 0.346537i \(0.887357\pi\)
\(674\) 26.6069 7.52371i 1.02486 0.289802i
\(675\) −10.0544 51.4730i −0.386995 1.98120i
\(676\) 26.9260 + 20.9574i 1.03562 + 0.806052i
\(677\) −0.0598986 + 0.722869i −0.00230209 + 0.0277821i −0.997639 0.0686803i \(-0.978121\pi\)
0.995337 + 0.0964624i \(0.0307527\pi\)
\(678\) −24.4375 + 23.7732i −0.938516 + 0.913003i
\(679\) −3.35998 + 1.36471i −0.128944 + 0.0523726i
\(680\) 1.11689 + 0.453642i 0.0428308 + 0.0173964i
\(681\) 55.0987 + 53.6008i 2.11139 + 2.05399i
\(682\) 18.5604 16.1643i 0.710714 0.618961i
\(683\) −33.3461 + 11.4477i −1.27595 + 0.438035i −0.877687 0.479235i \(-0.840914\pi\)
−0.398266 + 0.917270i \(0.630388\pi\)
\(684\) −26.5499 13.3184i −1.01516 0.509240i
\(685\) −5.12494 1.75940i −0.195814 0.0672231i
\(686\) −14.5438 + 5.90718i −0.555285 + 0.225537i
\(687\) −57.9571 + 3.19758i −2.21120 + 0.121995i
\(688\) 6.81001 + 4.18610i 0.259629 + 0.159593i
\(689\) 56.5164 68.6241i 2.15310 2.61437i
\(690\) 9.31204 + 3.78222i 0.354503 + 0.143987i
\(691\) −13.3981 + 7.25071i −0.509689 + 0.275830i −0.710372 0.703826i \(-0.751473\pi\)
0.200683 + 0.979656i \(0.435684\pi\)
\(692\) −6.90897 + 7.50514i −0.262640 + 0.285303i
\(693\) −33.4767 1.84696i −1.27167 0.0701602i
\(694\) −1.37228 2.37686i −0.0520912 0.0902246i
\(695\) 1.84058 0.996071i 0.0698171 0.0377831i
\(696\) 8.03606 + 2.75878i 0.304606 + 0.104571i
\(697\) −4.32947 + 13.8421i −0.163990 + 0.524306i
\(698\) −18.4966 5.23033i −0.700105 0.197971i
\(699\) 19.6999 + 52.6160i 0.745117 + 1.99012i
\(700\) 5.42316 1.21536i 0.204976 0.0459362i
\(701\) −6.27935 8.54337i −0.237168 0.322678i 0.670863 0.741581i \(-0.265924\pi\)
−0.908031 + 0.418902i \(0.862415\pi\)
\(702\) −80.9089 + 13.5013i −3.05371 + 0.509574i
\(703\) −3.48646 8.49771i −0.131494 0.320497i
\(704\) 3.83245 + 0.639522i 0.144441 + 0.0241029i
\(705\) −7.89862 15.6081i −0.297479 0.587835i
\(706\) −13.0869 17.8053i −0.492531 0.670112i
\(707\) 15.7545 4.45496i 0.592510 0.167546i
\(708\) 0.836528 30.3477i 0.0314386 1.14054i
\(709\) −20.0142 24.3019i −0.751648 0.912675i 0.246760 0.969077i \(-0.420634\pi\)
−0.998408 + 0.0564011i \(0.982037\pi\)
\(710\) 6.42282 + 6.97705i 0.241044 + 0.261844i
\(711\) −58.0425 19.9260i −2.17676 0.747284i
\(712\) 8.16670 + 3.31703i 0.306060 + 0.124311i
\(713\) −19.6049 17.0739i −0.734208 0.639422i
\(714\) 0.505188 + 6.09671i 0.0189062 + 0.228164i
\(715\) 11.4037 17.4547i 0.426475 0.652768i
\(716\) 0.795678 + 4.07343i 0.0297359 + 0.152231i
\(717\) 41.6456 + 56.6609i 1.55528 + 2.11604i
\(718\) −9.55849 + 18.8881i −0.356720 + 0.704898i
\(719\) 5.28464 14.1146i 0.197084 0.526387i −0.800225 0.599700i \(-0.795287\pi\)
0.997309 + 0.0733122i \(0.0233569\pi\)
\(720\) 4.53815 2.78959i 0.169127 0.103962i
\(721\) −16.8468 −0.627409
\(722\) 7.75483 + 17.3454i 0.288605 + 0.645529i
\(723\) 65.6000 2.43969
\(724\) −8.93352 + 5.49141i −0.332012 + 0.204087i
\(725\) 4.17368 11.1474i 0.155007 0.414004i
\(726\) −5.79492 + 11.4511i −0.215070 + 0.424989i
\(727\) 16.4068 + 22.3223i 0.608496 + 0.827888i 0.995557 0.0941659i \(-0.0300184\pi\)
−0.387061 + 0.922054i \(0.626510\pi\)
\(728\) −1.66644 8.53122i −0.0617622 0.316188i
\(729\) 1.90700 2.91888i 0.0706297 0.108107i
\(730\) 0.374015 + 4.51369i 0.0138429 + 0.167059i
\(731\) 9.29598 + 8.09588i 0.343824 + 0.299437i
\(732\) 25.5699 + 10.3856i 0.945091 + 0.383863i
\(733\) −29.6150 10.1669i −1.09386 0.375521i −0.282021 0.959408i \(-0.591005\pi\)
−0.811835 + 0.583887i \(0.801531\pi\)
\(734\) −0.918339 0.997582i −0.0338965 0.0368214i
\(735\) 8.40166 + 10.2016i 0.309900 + 0.376291i
\(736\) 0.113085 4.10253i 0.00416838 0.151221i
\(737\) 43.5073 12.3027i 1.60261 0.453175i
\(738\) 37.9556 + 51.6404i 1.39716 + 1.90091i
\(739\) 5.60928 + 11.0842i 0.206341 + 0.407740i 0.971821 0.235719i \(-0.0757444\pi\)
−0.765481 + 0.643459i \(0.777499\pi\)
\(740\) 1.62479 + 0.271130i 0.0597286 + 0.00996695i
\(741\) 81.3441 + 46.5820i 2.98825 + 1.71123i
\(742\) −16.1761 + 2.69931i −0.593842 + 0.0990947i
\(743\) 7.51205 + 10.2205i 0.275590 + 0.374954i 0.921447 0.388505i \(-0.127008\pi\)
−0.645856 + 0.763459i \(0.723500\pi\)
\(744\) −19.3644 + 4.33967i −0.709935 + 0.159100i
\(745\) 1.70486 + 4.55347i 0.0624611 + 0.166826i
\(746\) 12.8153 + 3.62382i 0.469201 + 0.132677i
\(747\) −14.2900 + 45.6878i −0.522845 + 1.67163i
\(748\) 5.66710 + 1.94552i 0.207210 + 0.0711351i
\(749\) −10.1631 + 5.50000i −0.371352 + 0.200966i
\(750\) −11.4966 19.9127i −0.419798 0.727111i
\(751\) 12.1502 + 0.670345i 0.443367 + 0.0244612i 0.275396 0.961331i \(-0.411191\pi\)
0.167971 + 0.985792i \(0.446279\pi\)
\(752\) −4.83777 + 5.25521i −0.176415 + 0.191638i
\(753\) 28.2690 15.2984i 1.03018 0.557504i
\(754\) −17.2486 7.00576i −0.628156 0.255135i
\(755\) −3.15197 + 3.82723i −0.114712 + 0.139287i
\(756\) 12.8911 + 7.92412i 0.468844 + 0.288198i
\(757\) −47.2139 + 2.60487i −1.71602 + 0.0946755i −0.886184 0.463333i \(-0.846654\pi\)
−0.829836 + 0.558008i \(0.811566\pi\)
\(758\) 10.7325 4.35917i 0.389823 0.158332i
\(759\) 47.2493 + 16.2207i 1.71504 + 0.588774i
\(760\) −3.37680 0.456113i −0.122489 0.0165450i
\(761\) −4.65540 + 1.59820i −0.168758 + 0.0579347i −0.407784 0.913079i \(-0.633698\pi\)
0.239026 + 0.971013i \(0.423172\pi\)
\(762\) −3.06544 + 2.66969i −0.111049 + 0.0967127i
\(763\) −7.99211 7.77484i −0.289334 0.281468i
\(764\) 0.827084 + 0.335932i 0.0299228 + 0.0121536i
\(765\) 7.61091 3.09128i 0.275173 0.111766i
\(766\) −3.48274 + 3.38807i −0.125837 + 0.122416i
\(767\) −5.49334 + 66.2947i −0.198353 + 2.39376i
\(768\) −2.47221 1.92420i −0.0892082 0.0694336i
\(769\) 4.30243 + 22.0260i 0.155150 + 0.794279i 0.975086 + 0.221825i \(0.0712014\pi\)
−0.819937 + 0.572454i \(0.805992\pi\)
\(770\) −3.70107 + 1.04656i −0.133377 + 0.0377155i
\(771\) 31.7885 + 72.4705i 1.14483 + 2.60996i
\(772\) −4.88416 19.2871i −0.175785 0.694158i
\(773\) −27.6738 + 3.06294i −0.995358 + 0.110166i −0.592903 0.805274i \(-0.702018\pi\)
−0.402455 + 0.915440i \(0.631843\pi\)
\(774\) 53.1538 11.9120i 1.91057 0.428169i
\(775\) 5.32987 + 27.2860i 0.191455 + 0.980141i
\(776\) 1.43195 2.48021i 0.0514040 0.0890343i
\(777\) 2.49541 + 7.97827i 0.0895223 + 0.286219i
\(778\) −13.1015 7.09017i −0.469711 0.254195i
\(779\) 2.11386 40.9406i 0.0757370 1.46685i
\(780\) −14.7848 + 8.00111i −0.529379 + 0.286486i
\(781\) 33.7854 + 32.8670i 1.20894 + 1.17607i
\(782\) 1.21332 6.21153i 0.0433883 0.222124i
\(783\) 29.3089 13.8312i 1.04741 0.494286i
\(784\) 2.69824 4.67349i 0.0963658 0.166910i
\(785\) 11.6230 3.28667i 0.414843 0.117306i
\(786\) 20.2017 3.37106i 0.720569 0.120242i
\(787\) −10.4964 + 41.4493i −0.374156 + 1.47751i 0.440599 + 0.897704i \(0.354766\pi\)
−0.814755 + 0.579805i \(0.803129\pi\)
\(788\) −2.36682 + 17.0683i −0.0843146 + 0.608033i
\(789\) 11.6643 8.08787i 0.415261 0.287936i
\(790\) −7.03991 −0.250469
\(791\) −13.7808 −0.489989
\(792\) 21.7581 15.0867i 0.773139 0.536083i
\(793\) −54.6892 25.8084i −1.94207 0.916484i
\(794\) 21.2020 28.8464i 0.752432 1.02372i
\(795\) 14.3211 + 28.2992i 0.507916 + 1.00367i
\(796\) −17.4517 + 3.91103i −0.618561 + 0.138623i
\(797\) 5.97068 + 4.64717i 0.211492 + 0.164611i 0.714419 0.699718i \(-0.246691\pi\)
−0.502927 + 0.864329i \(0.667744\pi\)
\(798\) −5.67238 16.3351i −0.200800 0.578258i
\(799\) −8.69247 + 6.76562i −0.307518 + 0.239351i
\(800\) −2.79013 + 3.38787i −0.0986460 + 0.119779i
\(801\) 55.6509 22.6035i 1.96633 0.798654i
\(802\) 3.59035 11.4790i 0.126780 0.405337i
\(803\) 3.09203 + 22.2981i 0.109115 + 0.786883i
\(804\) −35.5727 7.97202i −1.25455 0.281151i
\(805\) 1.63194 + 3.72045i 0.0575184 + 0.131129i
\(806\) 42.8900 7.15708i 1.51074 0.252097i
\(807\) −14.6257 + 28.9011i −0.514847 + 1.01737i
\(808\) −7.65715 + 10.4179i −0.269377 + 0.366501i
\(809\) 12.7158 28.9890i 0.447063 1.01920i −0.537355 0.843356i \(-0.680577\pi\)
0.984418 0.175844i \(-0.0562656\pi\)
\(810\) 3.26091 12.8771i 0.114577 0.452453i
\(811\) 19.6746 38.8781i 0.690870 1.36520i −0.229176 0.973385i \(-0.573603\pi\)
0.920046 0.391811i \(-0.128151\pi\)
\(812\) 1.55071 + 3.06429i 0.0544193 + 0.107535i
\(813\) −15.2686 + 1.68993i −0.535493 + 0.0592683i
\(814\) 8.13775 + 0.900686i 0.285228 + 0.0315690i
\(815\) −1.44065 10.3892i −0.0504639 0.363920i
\(816\) −3.27201 3.55435i −0.114543 0.124427i
\(817\) −31.1449 15.6233i −1.08962 0.546591i
\(818\) 6.24917 6.78840i 0.218497 0.237351i
\(819\) −48.6769 33.7518i −1.70091 1.17938i
\(820\) 6.04177 + 4.18927i 0.210988 + 0.146296i
\(821\) −2.36633 4.09860i −0.0825855 0.143042i 0.821774 0.569813i \(-0.192984\pi\)
−0.904360 + 0.426771i \(0.859651\pi\)
\(822\) 15.5649 + 15.1418i 0.542888 + 0.528130i
\(823\) −31.5922 27.5137i −1.10123 0.959066i −0.101873 0.994797i \(-0.532484\pi\)
−0.999361 + 0.0357313i \(0.988624\pi\)
\(824\) 10.4987 8.17147i 0.365740 0.284667i
\(825\) −29.2196 44.7239i −1.01729 1.55708i
\(826\) 8.79596 8.55684i 0.306051 0.297731i
\(827\) 1.05394 3.36964i 0.0366491 0.117174i −0.934281 0.356539i \(-0.883957\pi\)
0.970930 + 0.239365i \(0.0769392\pi\)
\(828\) −18.9414 20.5758i −0.658259 0.715059i
\(829\) −33.9150 18.3539i −1.17792 0.637456i −0.235492 0.971876i \(-0.575670\pi\)
−0.942424 + 0.334420i \(0.891460\pi\)
\(830\) 0.151316 + 5.48948i 0.00525227 + 0.190543i
\(831\) 4.85583 24.8591i 0.168447 0.862353i
\(832\) 5.17653 + 4.50824i 0.179464 + 0.156295i
\(833\) 5.29045 6.42384i 0.183303 0.222573i
\(834\) −8.37430 + 0.462023i −0.289978 + 0.0159985i
\(835\) −3.55507 5.44144i −0.123028 0.188309i
\(836\) −16.8832 1.33901i −0.583918 0.0463106i
\(837\) −41.4014 + 63.3696i −1.43104 + 2.19037i
\(838\) −2.56796 + 4.44784i −0.0887087 + 0.153648i
\(839\) −0.795903 + 28.8739i −0.0274776 + 0.996837i 0.852760 + 0.522304i \(0.174927\pi\)
−0.880237 + 0.474534i \(0.842617\pi\)
\(840\) 3.02609 + 0.678162i 0.104410 + 0.0233988i
\(841\) −21.5132 2.38108i −0.741834 0.0821062i
\(842\) −2.83358 7.56816i −0.0976516 0.260816i
\(843\) 0.396080 + 0.308282i 0.0136417 + 0.0106178i
\(844\) 0.970462 1.48540i 0.0334047 0.0511297i
\(845\) 24.1219 11.3834i 0.829820 0.391601i
\(846\) 1.34119 + 48.6560i 0.0461112 + 1.67283i
\(847\) −4.90648 + 1.68440i −0.168589 + 0.0578765i
\(848\) 8.77141 9.52829i 0.301212 0.327203i
\(849\) −20.5857 35.6556i −0.706501 1.22370i
\(850\) −5.10390 + 4.44499i −0.175062 + 0.152462i
\(851\) −0.238295 8.64490i −0.00816864 0.296343i
\(852\) −11.3449 36.2716i −0.388669 1.24264i
\(853\) 0.956546 34.7017i 0.0327515 1.18816i −0.787557 0.616242i \(-0.788654\pi\)
0.820308 0.571922i \(-0.193802\pi\)
\(854\) 4.48114 + 10.2160i 0.153342 + 0.349584i
\(855\) −18.6610 + 13.8175i −0.638193 + 0.472548i
\(856\) 3.66576 8.35709i 0.125293 0.285639i
\(857\) −43.7050 20.6249i −1.49293 0.704532i −0.505538 0.862805i \(-0.668706\pi\)
−0.987395 + 0.158272i \(0.949408\pi\)
\(858\) −71.1829 + 43.7560i −2.43014 + 1.49380i
\(859\) 14.0186 9.72030i 0.478310 0.331653i −0.305990 0.952035i \(-0.598987\pi\)
0.784300 + 0.620382i \(0.213023\pi\)
\(860\) 5.32356 3.27238i 0.181532 0.111587i
\(861\) −5.12464 + 36.9562i −0.174647 + 1.25946i
\(862\) −6.03371 + 13.7555i −0.205509 + 0.468513i
\(863\) −7.81565 1.30420i −0.266048 0.0443955i 0.0300670 0.999548i \(-0.490428\pi\)
−0.296115 + 0.955152i \(0.595691\pi\)
\(864\) −11.8771 + 1.31456i −0.404067 + 0.0447222i
\(865\) 2.79613 + 7.46812i 0.0950711 + 0.253924i
\(866\) −0.893548 + 10.7835i −0.0303640 + 0.366439i
\(867\) 25.0543 + 38.3484i 0.850888 + 1.30238i
\(868\) −6.83360 4.20060i −0.231947 0.142578i
\(869\) −34.9376 + 1.92756i −1.18518 + 0.0653880i
\(870\) 4.76077 4.63135i 0.161405 0.157018i
\(871\) 76.8648 + 21.7353i 2.60447 + 0.736473i
\(872\) 8.75172 + 0.968640i 0.296371 + 0.0328023i
\(873\) −4.79081 18.9185i −0.162144 0.640294i
\(874\) 1.04851 + 17.8585i 0.0354664 + 0.604074i
\(875\) 2.28156 9.00967i 0.0771308 0.304583i
\(876\) 6.36434 16.9984i 0.215031 0.574323i
\(877\) −27.4797 12.9680i −0.927923 0.437897i −0.0976287 0.995223i \(-0.531126\pi\)
−0.830294 + 0.557326i \(0.811828\pi\)
\(878\) −2.71303 + 19.5650i −0.0915604 + 0.660286i
\(879\) 24.4325 65.2564i 0.824089 2.20104i
\(880\) 1.79882 2.44739i 0.0606383 0.0825014i
\(881\) 13.8363 + 2.30887i 0.466156 + 0.0777877i 0.393011 0.919534i \(-0.371433\pi\)
0.0731449 + 0.997321i \(0.476696\pi\)
\(882\) −9.02740 35.6484i −0.303968 1.20034i
\(883\) −1.52689 0.342184i −0.0513839 0.0115154i 0.192913 0.981216i \(-0.438206\pi\)
−0.244297 + 0.969700i \(0.578557\pi\)
\(884\) 6.72958 + 8.17127i 0.226340 + 0.274830i
\(885\) −20.8722 11.2955i −0.701610 0.379693i
\(886\) 6.87689 2.36084i 0.231034 0.0793140i
\(887\) 3.74612 + 0.206679i 0.125782 + 0.00693961i 0.117870 0.993029i \(-0.462394\pi\)
0.00791285 + 0.999969i \(0.497481\pi\)
\(888\) −5.42493 3.76156i −0.182049 0.126230i
\(889\) −1.64061 0.0905149i −0.0550242 0.00303577i
\(890\) 5.19626 4.52543i 0.174179 0.151693i
\(891\) 12.6574 64.7989i 0.424039 2.17084i
\(892\) −0.737382 8.89888i −0.0246894 0.297956i
\(893\) 19.0368 24.6374i 0.637043 0.824460i
\(894\) 1.60908 19.4187i 0.0538157 0.649459i
\(895\) 3.12206 + 0.882835i 0.104359 + 0.0295099i
\(896\) −0.173931 1.25430i −0.00581062 0.0419032i
\(897\) 56.1076 + 68.1277i 1.87338 + 2.27472i
\(898\) −4.89225 15.6414i −0.163257 0.521960i
\(899\) −15.5367 + 7.33195i −0.518178 + 0.244534i
\(900\) 2.46975 + 29.8055i 0.0823251 + 0.993516i
\(901\) 15.7604 12.2668i 0.525056 0.408668i
\(902\) 31.1311 + 19.1362i 1.03655 + 0.637165i
\(903\) 27.0157 + 16.6065i 0.899025 + 0.552628i
\(904\) 8.58801 6.68431i 0.285633 0.222317i
\(905\) 0.676939 + 8.16944i 0.0225022 + 0.271561i
\(906\) 17.9693 8.47991i 0.596990 0.281726i
\(907\) 11.4845 + 36.7179i 0.381336 + 1.21920i 0.925023 + 0.379911i \(0.124045\pi\)
−0.543687 + 0.839288i \(0.682972\pi\)
\(908\) −15.5988 18.9406i −0.517664 0.628565i
\(909\) 12.1015 + 87.2695i 0.401381 + 2.89455i
\(910\) −6.53872 1.84897i −0.216757 0.0612929i
\(911\) 3.74468 45.1915i 0.124067 1.49726i −0.595790 0.803140i \(-0.703161\pi\)
0.719857 0.694123i \(-0.244207\pi\)
\(912\) 11.4582 + 7.42847i 0.379420 + 0.245981i
\(913\) 2.25399 + 27.2017i 0.0745963 + 0.900244i
\(914\) −4.26323 + 21.8253i −0.141015 + 0.721918i
\(915\) 16.2695 14.1691i 0.537853 0.468416i
\(916\) 18.5002 + 1.02068i 0.611262 + 0.0337243i
\(917\) 6.80316 + 4.71721i 0.224660 + 0.155776i
\(918\) −18.3996 1.01513i −0.607277 0.0335044i
\(919\) −8.88602 + 3.05057i −0.293123 + 0.100629i −0.467339 0.884078i \(-0.654787\pi\)
0.174216 + 0.984707i \(0.444261\pi\)
\(920\) −2.82159 1.52697i −0.0930250 0.0503426i
\(921\) −69.0460 83.8379i −2.27514 2.76255i
\(922\) −20.9494 4.69488i −0.689932 0.154617i
\(923\) 20.4425 + 80.7256i 0.672873 + 2.65712i
\(924\) 15.2035 + 2.53702i 0.500159 + 0.0834617i
\(925\) −5.47720 + 7.45200i −0.180089 + 0.245020i
\(926\) 2.59414 6.92865i 0.0852488 0.227689i
\(927\) 12.4522 89.7990i 0.408985 2.94939i
\(928\) −2.45270 1.15746i −0.0805138 0.0379954i
\(929\) −4.41376 + 11.7886i −0.144811 + 0.386772i −0.988732 0.149694i \(-0.952171\pi\)
0.843922 + 0.536466i \(0.180241\pi\)
\(930\) −3.80825 + 15.0385i −0.124878 + 0.493130i
\(931\) −9.96381 + 21.3082i −0.326551 + 0.698349i
\(932\) −4.40250 17.3851i −0.144209 0.569467i
\(933\) 40.2224 + 4.45181i 1.31682 + 0.145746i
\(934\) 8.54641 + 2.41669i 0.279647 + 0.0790766i
\(935\) 3.35734 3.26607i 0.109797 0.106812i
\(936\) 46.7059 2.57684i 1.52663 0.0842265i
\(937\) −4.60502 2.83069i −0.150439 0.0924747i 0.446408 0.894830i \(-0.352703\pi\)
−0.596847 + 0.802355i \(0.703580\pi\)
\(938\) −8.05951 12.3360i −0.263152 0.402785i
\(939\) −6.53267 + 78.8376i −0.213186 + 2.57277i
\(940\) 1.95789 + 5.22929i 0.0638593 + 0.170561i
\(941\) −5.17866 + 0.573174i −0.168820 + 0.0186849i −0.194021 0.980997i \(-0.562153\pi\)
0.0252010 + 0.999682i \(0.491977\pi\)
\(942\) −47.7458 7.96736i −1.55564 0.259591i
\(943\) 15.5049 35.3476i 0.504909 1.15108i
\(944\) −1.33106 + 9.59894i −0.0433224 + 0.312419i
\(945\) 10.0773 6.19449i 0.327814 0.201507i
\(946\) 25.5237 17.6977i 0.829847 0.575403i
\(947\) −16.4084 + 10.0862i −0.533202 + 0.327758i −0.763971 0.645250i \(-0.776753\pi\)
0.230769 + 0.973009i \(0.425876\pi\)
\(948\) 25.5143 + 12.0405i 0.828667 + 0.391057i
\(949\) −15.9759 + 36.4215i −0.518601 + 1.18229i
\(950\) 10.8453 15.7596i 0.351869 0.511310i
\(951\) −26.9074 61.3426i −0.872531 1.98917i
\(952\) 0.0538072 1.95202i 0.00174390 0.0632655i
\(953\) −3.37035 10.7756i −0.109176 0.349056i 0.883724 0.468009i \(-0.155029\pi\)
−0.992900 + 0.118953i \(0.962046\pi\)
\(954\) −2.43174 88.2188i −0.0787303 2.85619i
\(955\) 0.526252 0.458313i 0.0170291 0.0148307i
\(956\) −11.2231 19.4390i −0.362982 0.628703i
\(957\) 22.3586 24.2879i 0.722751 0.785117i
\(958\) −11.8428 + 4.06563i −0.382622 + 0.131354i
\(959\) 0.241855 + 8.77403i 0.00780989 + 0.283328i
\(960\) −2.21475 + 1.04517i −0.0714809 + 0.0337326i
\(961\) 4.99159 7.64020i 0.161019 0.246458i
\(962\) 11.4148 + 8.88450i 0.368028 + 0.286448i
\(963\) −21.8048 58.2379i −0.702649 1.87669i
\(964\) −20.8127 2.30355i −0.670332 0.0741924i
\(965\) −15.1767 3.40118i −0.488555 0.109488i
\(966\) 0.448616 16.2749i 0.0144340 0.523638i
\(967\) 17.7801 30.7960i 0.571769 0.990332i −0.424616 0.905374i \(-0.639591\pi\)
0.996384 0.0849587i \(-0.0270758\pi\)
\(968\) 2.24064 3.42956i 0.0720169 0.110230i
\(969\) 15.5433 + 14.2076i 0.499322 + 0.456413i
\(970\) −1.22450 1.87423i −0.0393163 0.0601780i
\(971\) 2.26164 0.124778i 0.0725796 0.00400433i −0.0187616 0.999824i \(-0.505972\pi\)
0.0913412 + 0.995820i \(0.470885\pi\)
\(972\) −11.0522 + 13.4200i −0.354500 + 0.430445i
\(973\) −2.55650 2.22646i −0.0819577 0.0713771i
\(974\) 0.518550 2.65469i 0.0166154 0.0850616i
\(975\) −2.60066 94.3471i −0.0832877 3.02152i
\(976\) −7.74780 4.19290i −0.248001 0.134211i
\(977\) −12.0116 13.0481i −0.384285 0.417444i 0.513354 0.858177i \(-0.328403\pi\)
−0.897638 + 0.440733i \(0.854719\pi\)
\(978\) −12.5477 + 40.1171i −0.401230 + 1.28280i
\(979\) 24.5488 23.8815i 0.784585 0.763256i
\(980\) −2.30734 3.53165i −0.0737052 0.112814i
\(981\) 47.3497 36.8538i 1.51176 1.17665i
\(982\) −18.9368 16.4921i −0.604297 0.526283i
\(983\) 31.2054 + 30.3571i 0.995299 + 0.968242i 0.999496 0.0317494i \(-0.0101078\pi\)
−0.00419689 + 0.999991i \(0.501336\pi\)
\(984\) −14.7318 25.5163i −0.469634 0.813429i
\(985\) 11.0697 + 7.67554i 0.352709 + 0.244563i
\(986\) −3.43694 2.38312i −0.109455 0.0758941i
\(987\) −19.1917 + 20.8477i −0.610877 + 0.663590i
\(988\) −24.1720 17.6353i −0.769015 0.561055i
\(989\) −22.2195 24.1368i −0.706540 0.767507i
\(990\) −2.84289 20.5014i −0.0903530 0.651579i
\(991\) 45.0930 + 4.99089i 1.43243 + 0.158541i 0.792489 0.609886i \(-0.208785\pi\)
0.639937 + 0.768427i \(0.278960\pi\)
\(992\) 6.29608 0.696850i 0.199901 0.0221250i
\(993\) −33.0053 65.2203i −1.04739 2.06970i
\(994\) 6.93632 13.7065i 0.220007 0.434745i
\(995\) −3.43210 + 13.5531i −0.108805 + 0.429661i
\(996\) 8.84035 20.1540i 0.280117 0.638603i
\(997\) 27.5381 37.4669i 0.872139 1.18659i −0.109145 0.994026i \(-0.534811\pi\)
0.981285 0.192563i \(-0.0616798\pi\)
\(998\) 7.55449 14.9281i 0.239133 0.472540i
\(999\) −24.8370 + 4.14456i −0.785807 + 0.131128i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 722.2.i.b.505.2 612
361.178 even 57 inner 722.2.i.b.539.2 yes 612
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
722.2.i.b.505.2 612 1.1 even 1 trivial
722.2.i.b.539.2 yes 612 361.178 even 57 inner