Properties

Label 430.2.k.c.41.3
Level $430$
Weight $2$
Character 430.41
Analytic conductor $3.434$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [430,2,Mod(11,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([0, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.k (of order \(7\), degree \(6\), 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: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{7})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} - 5 x^{17} + 20 x^{16} - 61 x^{15} + 142 x^{14} - 195 x^{13} + 244 x^{12} + 320 x^{11} + 64 x^{10} - 562 x^{9} + 4114 x^{8} - 1933 x^{7} + 2941 x^{6} - 2555 x^{5} + 2807 x^{4} + \cdots + 49 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 41.3
Root \(2.65970 + 1.28085i\) of defining polynomial
Character \(\chi\) \(=\) 430.41
Dual form 430.2.k.c.21.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.900969 - 0.433884i) q^{2} +(2.65970 + 1.28085i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +2.95205 q^{6} -1.54255 q^{7} +(0.222521 - 0.974928i) q^{8} +(3.56299 + 4.46785i) q^{9} +O(q^{10})\) \(q+(0.900969 - 0.433884i) q^{2} +(2.65970 + 1.28085i) q^{3} +(0.623490 - 0.781831i) q^{4} +(-0.222521 + 0.974928i) q^{5} +2.95205 q^{6} -1.54255 q^{7} +(0.222521 - 0.974928i) q^{8} +(3.56299 + 4.46785i) q^{9} +(0.222521 + 0.974928i) q^{10} +(-1.13643 - 1.42504i) q^{11} +(2.65970 - 1.28085i) q^{12} +(0.551863 - 2.41787i) q^{13} +(-1.38979 + 0.669290i) q^{14} +(-1.84057 + 2.30801i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(1.45386 + 6.36977i) q^{17} +(5.14867 + 2.47947i) q^{18} +(2.73339 - 3.42756i) q^{19} +(0.623490 + 0.781831i) q^{20} +(-4.10274 - 1.97578i) q^{21} +(-1.64219 - 0.790839i) q^{22} +(-3.74496 - 4.69603i) q^{23} +(1.84057 - 2.30801i) q^{24} +(-0.900969 - 0.433884i) q^{25} +(-0.551863 - 2.41787i) q^{26} +(1.78320 + 7.81270i) q^{27} +(-0.961767 + 1.20602i) q^{28} +(-5.05557 + 2.43463i) q^{29} +(-0.656893 + 2.87804i) q^{30} +(-1.25367 + 0.603735i) q^{31} +(-0.623490 - 0.781831i) q^{32} +(-1.19732 - 5.24579i) q^{33} +(4.07362 + 5.10816i) q^{34} +(0.343251 - 1.50388i) q^{35} +5.71460 q^{36} -3.65770 q^{37} +(0.975535 - 4.27410i) q^{38} +(4.56471 - 5.72396i) q^{39} +(0.900969 + 0.433884i) q^{40} +(3.63849 - 1.75220i) q^{41} -4.55370 q^{42} +(-6.06228 - 2.49976i) q^{43} -1.82270 q^{44} +(-5.14867 + 2.47947i) q^{45} +(-5.41163 - 2.60610i) q^{46} +(0.117135 - 0.146883i) q^{47} +(0.656893 - 2.87804i) q^{48} -4.62052 q^{49} -1.00000 q^{50} +(-4.29186 + 18.8039i) q^{51} +(-1.54628 - 1.93898i) q^{52} +(-1.91781 - 8.40249i) q^{53} +(4.99641 + 6.26530i) q^{54} +(1.64219 - 0.790839i) q^{55} +(-0.343251 + 1.50388i) q^{56} +(11.6602 - 5.61525i) q^{57} +(-3.49856 + 4.38706i) q^{58} +(1.78323 + 7.81284i) q^{59} +(0.656893 + 2.87804i) q^{60} +(4.46338 + 2.14945i) q^{61} +(-0.867566 + 1.08789i) q^{62} +(-5.49611 - 6.89191i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(2.23445 + 1.07605i) q^{65} +(-3.35481 - 4.20680i) q^{66} +(-1.04815 + 1.31434i) q^{67} +(5.88656 + 2.83482i) q^{68} +(-3.94560 - 17.2868i) q^{69} +(-0.343251 - 1.50388i) q^{70} +(5.86045 - 7.34878i) q^{71} +(5.14867 - 2.47947i) q^{72} +(1.41507 - 6.19982i) q^{73} +(-3.29547 + 1.58701i) q^{74} +(-1.84057 - 2.30801i) q^{75} +(-0.975535 - 4.27410i) q^{76} +(1.75301 + 2.19821i) q^{77} +(1.62913 - 7.13767i) q^{78} +14.3781 q^{79} +1.00000 q^{80} +(-1.44924 + 6.34953i) q^{81} +(2.51791 - 3.15736i) q^{82} +(14.4048 + 6.93698i) q^{83} +(-4.10274 + 1.97578i) q^{84} -6.53358 q^{85} +(-6.54653 + 0.378113i) q^{86} -16.5647 q^{87} +(-1.64219 + 0.790839i) q^{88} +(-1.93700 - 0.932811i) q^{89} +(-3.56299 + 4.46785i) q^{90} +(-0.851278 + 3.72969i) q^{91} -6.00645 q^{92} -4.10768 q^{93} +(0.0418051 - 0.183160i) q^{94} +(2.73339 + 3.42756i) q^{95} +(-0.656893 - 2.87804i) q^{96} +(-0.385802 - 0.483781i) q^{97} +(-4.16295 + 2.00477i) q^{98} +(2.31777 - 10.1548i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q + 3 q^{2} + 5 q^{3} - 3 q^{4} - 3 q^{5} + 2 q^{6} + 8 q^{7} + 3 q^{8} - 6 q^{9} + 3 q^{10} + 5 q^{11} + 5 q^{12} + 22 q^{13} - 8 q^{14} - 2 q^{15} - 3 q^{16} + q^{17} + 13 q^{18} - 7 q^{19} - 3 q^{20} + 10 q^{21} - 5 q^{22} + 8 q^{23} + 2 q^{24} - 3 q^{25} - 22 q^{26} + 20 q^{27} + q^{28} - 6 q^{29} + 2 q^{30} - 5 q^{31} + 3 q^{32} + 39 q^{33} - q^{34} - 13 q^{35} + 8 q^{36} - 18 q^{37} - 7 q^{39} + 3 q^{40} + 16 q^{41} + 4 q^{42} - 13 q^{43} - 2 q^{44} - 13 q^{45} - 8 q^{46} - 36 q^{47} - 2 q^{48} - 14 q^{49} - 18 q^{50} - 30 q^{51} - 20 q^{52} - 18 q^{53} + 29 q^{54} + 5 q^{55} + 13 q^{56} + 29 q^{57} - 8 q^{58} - 4 q^{59} - 2 q^{60} + 42 q^{61} - 2 q^{62} - 29 q^{63} - 3 q^{64} + 8 q^{65} + 24 q^{66} - 19 q^{67} + q^{68} - 51 q^{69} + 13 q^{70} - 27 q^{71} + 13 q^{72} + 28 q^{73} + 4 q^{74} - 2 q^{75} + 42 q^{77} - 35 q^{78} - 26 q^{79} + 18 q^{80} - 4 q^{81} + 19 q^{82} + 62 q^{83} + 10 q^{84} - 6 q^{85} - 15 q^{86} - 66 q^{87} - 5 q^{88} - 12 q^{89} + 6 q^{90} - 22 q^{91} - 20 q^{92} - 6 q^{93} - 6 q^{94} - 7 q^{95} + 2 q^{96} + 71 q^{97} - 28 q^{98} + 59 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.900969 0.433884i 0.637081 0.306802i
\(3\) 2.65970 + 1.28085i 1.53558 + 0.739497i 0.994817 0.101678i \(-0.0324210\pi\)
0.540764 + 0.841174i \(0.318135\pi\)
\(4\) 0.623490 0.781831i 0.311745 0.390916i
\(5\) −0.222521 + 0.974928i −0.0995144 + 0.436001i
\(6\) 2.95205 1.20517
\(7\) −1.54255 −0.583031 −0.291515 0.956566i \(-0.594159\pi\)
−0.291515 + 0.956566i \(0.594159\pi\)
\(8\) 0.222521 0.974928i 0.0786730 0.344689i
\(9\) 3.56299 + 4.46785i 1.18766 + 1.48928i
\(10\) 0.222521 + 0.974928i 0.0703673 + 0.308299i
\(11\) −1.13643 1.42504i −0.342648 0.429667i 0.580412 0.814323i \(-0.302891\pi\)
−0.923060 + 0.384656i \(0.874320\pi\)
\(12\) 2.65970 1.28085i 0.767791 0.369748i
\(13\) 0.551863 2.41787i 0.153059 0.670596i −0.838926 0.544245i \(-0.816816\pi\)
0.991986 0.126351i \(-0.0403266\pi\)
\(14\) −1.38979 + 0.669290i −0.371438 + 0.178875i
\(15\) −1.84057 + 2.30801i −0.475234 + 0.595924i
\(16\) −0.222521 0.974928i −0.0556302 0.243732i
\(17\) 1.45386 + 6.36977i 0.352613 + 1.54490i 0.771124 + 0.636685i \(0.219695\pi\)
−0.418511 + 0.908212i \(0.637448\pi\)
\(18\) 5.14867 + 2.47947i 1.21355 + 0.584417i
\(19\) 2.73339 3.42756i 0.627082 0.786336i −0.362239 0.932085i \(-0.617988\pi\)
0.989322 + 0.145749i \(0.0465591\pi\)
\(20\) 0.623490 + 0.781831i 0.139417 + 0.174823i
\(21\) −4.10274 1.97578i −0.895291 0.431150i
\(22\) −1.64219 0.790839i −0.350117 0.168607i
\(23\) −3.74496 4.69603i −0.780879 0.979191i −0.999994 0.00349174i \(-0.998889\pi\)
0.219115 0.975699i \(-0.429683\pi\)
\(24\) 1.84057 2.30801i 0.375705 0.471120i
\(25\) −0.900969 0.433884i −0.180194 0.0867767i
\(26\) −0.551863 2.41787i −0.108229 0.474183i
\(27\) 1.78320 + 7.81270i 0.343177 + 1.50356i
\(28\) −0.961767 + 1.20602i −0.181757 + 0.227916i
\(29\) −5.05557 + 2.43463i −0.938795 + 0.452100i −0.839744 0.542982i \(-0.817295\pi\)
−0.0990513 + 0.995082i \(0.531581\pi\)
\(30\) −0.656893 + 2.87804i −0.119932 + 0.525455i
\(31\) −1.25367 + 0.603735i −0.225166 + 0.108434i −0.543066 0.839690i \(-0.682737\pi\)
0.317900 + 0.948124i \(0.397022\pi\)
\(32\) −0.623490 0.781831i −0.110218 0.138210i
\(33\) −1.19732 5.24579i −0.208426 0.913175i
\(34\) 4.07362 + 5.10816i 0.698621 + 0.876042i
\(35\) 0.343251 1.50388i 0.0580200 0.254202i
\(36\) 5.71460 0.952433
\(37\) −3.65770 −0.601321 −0.300661 0.953731i \(-0.597207\pi\)
−0.300661 + 0.953731i \(0.597207\pi\)
\(38\) 0.975535 4.27410i 0.158253 0.693350i
\(39\) 4.56471 5.72396i 0.730938 0.916568i
\(40\) 0.900969 + 0.433884i 0.142456 + 0.0686030i
\(41\) 3.63849 1.75220i 0.568237 0.273648i −0.127627 0.991822i \(-0.540736\pi\)
0.695864 + 0.718174i \(0.255022\pi\)
\(42\) −4.55370 −0.702651
\(43\) −6.06228 2.49976i −0.924488 0.381210i
\(44\) −1.82270 −0.274782
\(45\) −5.14867 + 2.47947i −0.767519 + 0.369618i
\(46\) −5.41163 2.60610i −0.797901 0.384249i
\(47\) 0.117135 0.146883i 0.0170859 0.0214251i −0.773215 0.634144i \(-0.781353\pi\)
0.790301 + 0.612719i \(0.209924\pi\)
\(48\) 0.656893 2.87804i 0.0948143 0.415409i
\(49\) −4.62052 −0.660075
\(50\) −1.00000 −0.141421
\(51\) −4.29186 + 18.8039i −0.600981 + 2.63307i
\(52\) −1.54628 1.93898i −0.214431 0.268888i
\(53\) −1.91781 8.40249i −0.263432 1.15417i −0.917500 0.397735i \(-0.869796\pi\)
0.654068 0.756436i \(-0.273061\pi\)
\(54\) 4.99641 + 6.26530i 0.679926 + 0.852600i
\(55\) 1.64219 0.790839i 0.221433 0.106637i
\(56\) −0.343251 + 1.50388i −0.0458688 + 0.200964i
\(57\) 11.6602 5.61525i 1.54443 0.743758i
\(58\) −3.49856 + 4.38706i −0.459384 + 0.576049i
\(59\) 1.78323 + 7.81284i 0.232157 + 1.01715i 0.947847 + 0.318727i \(0.103255\pi\)
−0.715690 + 0.698418i \(0.753888\pi\)
\(60\) 0.656893 + 2.87804i 0.0848045 + 0.371553i
\(61\) 4.46338 + 2.14945i 0.571478 + 0.275209i 0.697224 0.716853i \(-0.254418\pi\)
−0.125746 + 0.992062i \(0.540133\pi\)
\(62\) −0.867566 + 1.08789i −0.110181 + 0.138163i
\(63\) −5.49611 6.89191i −0.692445 0.868299i
\(64\) −0.900969 0.433884i −0.112621 0.0542355i
\(65\) 2.23445 + 1.07605i 0.277149 + 0.133468i
\(66\) −3.35481 4.20680i −0.412948 0.517821i
\(67\) −1.04815 + 1.31434i −0.128052 + 0.160572i −0.841724 0.539908i \(-0.818459\pi\)
0.713673 + 0.700480i \(0.247030\pi\)
\(68\) 5.88656 + 2.83482i 0.713850 + 0.343772i
\(69\) −3.94560 17.2868i −0.474994 2.08108i
\(70\) −0.343251 1.50388i −0.0410263 0.179748i
\(71\) 5.86045 7.34878i 0.695508 0.872139i −0.301171 0.953570i \(-0.597378\pi\)
0.996679 + 0.0814307i \(0.0259489\pi\)
\(72\) 5.14867 2.47947i 0.606777 0.292208i
\(73\) 1.41507 6.19982i 0.165621 0.725635i −0.822092 0.569355i \(-0.807193\pi\)
0.987713 0.156279i \(-0.0499500\pi\)
\(74\) −3.29547 + 1.58701i −0.383091 + 0.184487i
\(75\) −1.84057 2.30801i −0.212531 0.266505i
\(76\) −0.975535 4.27410i −0.111902 0.490273i
\(77\) 1.75301 + 2.19821i 0.199774 + 0.250509i
\(78\) 1.62913 7.13767i 0.184462 0.808181i
\(79\) 14.3781 1.61766 0.808831 0.588042i \(-0.200101\pi\)
0.808831 + 0.588042i \(0.200101\pi\)
\(80\) 1.00000 0.111803
\(81\) −1.44924 + 6.34953i −0.161027 + 0.705504i
\(82\) 2.51791 3.15736i 0.278057 0.348672i
\(83\) 14.4048 + 6.93698i 1.58113 + 0.761433i 0.998677 0.0514305i \(-0.0163781\pi\)
0.582455 + 0.812863i \(0.302092\pi\)
\(84\) −4.10274 + 1.97578i −0.447646 + 0.215575i
\(85\) −6.53358 −0.708667
\(86\) −6.54653 + 0.378113i −0.705930 + 0.0407730i
\(87\) −16.5647 −1.77592
\(88\) −1.64219 + 0.790839i −0.175059 + 0.0843037i
\(89\) −1.93700 0.932811i −0.205322 0.0988777i 0.328397 0.944540i \(-0.393492\pi\)
−0.533719 + 0.845662i \(0.679206\pi\)
\(90\) −3.56299 + 4.46785i −0.375572 + 0.470953i
\(91\) −0.851278 + 3.72969i −0.0892382 + 0.390978i
\(92\) −6.00645 −0.626216
\(93\) −4.10768 −0.425947
\(94\) 0.0418051 0.183160i 0.00431186 0.0188915i
\(95\) 2.73339 + 3.42756i 0.280440 + 0.351660i
\(96\) −0.656893 2.87804i −0.0670438 0.293738i
\(97\) −0.385802 0.483781i −0.0391723 0.0491205i 0.761859 0.647742i \(-0.224287\pi\)
−0.801032 + 0.598622i \(0.795715\pi\)
\(98\) −4.16295 + 2.00477i −0.420521 + 0.202512i
\(99\) 2.31777 10.1548i 0.232945 1.02060i
\(100\) −0.900969 + 0.433884i −0.0900969 + 0.0433884i
\(101\) −12.0108 + 15.0611i −1.19512 + 1.49864i −0.374442 + 0.927250i \(0.622166\pi\)
−0.820681 + 0.571387i \(0.806406\pi\)
\(102\) 4.29186 + 18.8039i 0.424958 + 1.86186i
\(103\) 2.49654 + 10.9381i 0.245991 + 1.07776i 0.935457 + 0.353440i \(0.114988\pi\)
−0.689466 + 0.724318i \(0.742155\pi\)
\(104\) −2.23445 1.07605i −0.219105 0.105516i
\(105\) 2.83918 3.56023i 0.277076 0.347442i
\(106\) −5.37359 6.73827i −0.521930 0.654479i
\(107\) −11.5309 5.55299i −1.11473 0.536827i −0.216472 0.976289i \(-0.569455\pi\)
−0.898261 + 0.439461i \(0.855169\pi\)
\(108\) 7.22002 + 3.47698i 0.694747 + 0.334573i
\(109\) −4.41420 5.53523i −0.422804 0.530179i 0.524117 0.851646i \(-0.324395\pi\)
−0.946921 + 0.321467i \(0.895824\pi\)
\(110\) 1.13643 1.42504i 0.108355 0.135873i
\(111\) −9.72839 4.68495i −0.923378 0.444675i
\(112\) 0.343251 + 1.50388i 0.0324341 + 0.142103i
\(113\) 3.89435 + 17.0623i 0.366350 + 1.60508i 0.736719 + 0.676199i \(0.236374\pi\)
−0.370369 + 0.928885i \(0.620769\pi\)
\(114\) 8.06910 10.1183i 0.755740 0.947668i
\(115\) 5.41163 2.60610i 0.504637 0.243020i
\(116\) −1.24862 + 5.47057i −0.115932 + 0.507930i
\(117\) 12.7690 6.14921i 1.18049 0.568494i
\(118\) 4.99650 + 6.26541i 0.459965 + 0.576778i
\(119\) −2.24266 9.82572i −0.205584 0.900723i
\(120\) 1.84057 + 2.30801i 0.168021 + 0.210691i
\(121\) 1.70846 7.48527i 0.155315 0.680479i
\(122\) 4.95398 0.448512
\(123\) 11.9216 1.07494
\(124\) −0.309631 + 1.35658i −0.0278057 + 0.121825i
\(125\) 0.623490 0.781831i 0.0557666 0.0699291i
\(126\) −7.94211 3.82472i −0.707540 0.340733i
\(127\) −8.78671 + 4.23146i −0.779695 + 0.375481i −0.781010 0.624518i \(-0.785295\pi\)
0.00131578 + 0.999999i \(0.499581\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −12.9220 14.4135i −1.13772 1.26904i
\(130\) 2.48005 0.217515
\(131\) 6.50922 3.13467i 0.568713 0.273878i −0.127351 0.991858i \(-0.540647\pi\)
0.696064 + 0.717980i \(0.254933\pi\)
\(132\) −4.84784 2.33460i −0.421950 0.203201i
\(133\) −4.21640 + 5.28720i −0.365608 + 0.458459i
\(134\) −0.374080 + 1.63895i −0.0323155 + 0.141584i
\(135\) −8.01362 −0.689703
\(136\) 6.53358 0.560250
\(137\) −5.00089 + 21.9103i −0.427255 + 1.87193i 0.0592397 + 0.998244i \(0.481132\pi\)
−0.486495 + 0.873683i \(0.661725\pi\)
\(138\) −11.0553 13.8629i −0.941091 1.18009i
\(139\) 1.65940 + 7.27031i 0.140749 + 0.616660i 0.995262 + 0.0972304i \(0.0309984\pi\)
−0.854513 + 0.519430i \(0.826144\pi\)
\(140\) −0.961767 1.20602i −0.0812842 0.101927i
\(141\) 0.499679 0.240633i 0.0420806 0.0202649i
\(142\) 2.09157 9.16378i 0.175521 0.769007i
\(143\) −4.07272 + 1.96132i −0.340578 + 0.164014i
\(144\) 3.56299 4.46785i 0.296916 0.372321i
\(145\) −1.24862 5.47057i −0.103692 0.454306i
\(146\) −1.41507 6.19982i −0.117112 0.513101i
\(147\) −12.2892 5.91818i −1.01360 0.488123i
\(148\) −2.28054 + 2.85970i −0.187459 + 0.235066i
\(149\) 0.777610 + 0.975092i 0.0637043 + 0.0798827i 0.812663 0.582734i \(-0.198017\pi\)
−0.748958 + 0.662617i \(0.769446\pi\)
\(150\) −2.65970 1.28085i −0.217164 0.104581i
\(151\) 4.86398 + 2.34237i 0.395825 + 0.190619i 0.621199 0.783653i \(-0.286646\pi\)
−0.225374 + 0.974272i \(0.572360\pi\)
\(152\) −2.73339 3.42756i −0.221707 0.278012i
\(153\) −23.2791 + 29.1911i −1.88200 + 2.35996i
\(154\) 2.53318 + 1.21991i 0.204129 + 0.0983034i
\(155\) −0.309631 1.35658i −0.0248701 0.108963i
\(156\) −1.62913 7.13767i −0.130434 0.571471i
\(157\) −14.0114 + 17.5697i −1.11823 + 1.40222i −0.213130 + 0.977024i \(0.568366\pi\)
−0.905102 + 0.425195i \(0.860206\pi\)
\(158\) 12.9542 6.23842i 1.03058 0.496302i
\(159\) 5.66148 24.8046i 0.448985 1.96713i
\(160\) 0.900969 0.433884i 0.0712278 0.0343015i
\(161\) 5.77681 + 7.24389i 0.455276 + 0.570899i
\(162\) 1.44924 + 6.34953i 0.113863 + 0.498866i
\(163\) −8.03797 10.0793i −0.629583 0.789472i 0.360075 0.932924i \(-0.382751\pi\)
−0.989657 + 0.143452i \(0.954180\pi\)
\(164\) 0.898633 3.93717i 0.0701714 0.307441i
\(165\) 5.38070 0.418887
\(166\) 15.9881 1.24092
\(167\) −3.21202 + 14.0728i −0.248554 + 1.08899i 0.684433 + 0.729075i \(0.260050\pi\)
−0.932987 + 0.359910i \(0.882807\pi\)
\(168\) −2.83918 + 3.56023i −0.219048 + 0.274677i
\(169\) 6.17106 + 2.97183i 0.474697 + 0.228602i
\(170\) −5.88656 + 2.83482i −0.451478 + 0.217420i
\(171\) 25.0529 1.91584
\(172\) −5.73416 + 3.18110i −0.437226 + 0.242557i
\(173\) 20.1185 1.52958 0.764791 0.644279i \(-0.222842\pi\)
0.764791 + 0.644279i \(0.222842\pi\)
\(174\) −14.9243 + 7.18716i −1.13141 + 0.544857i
\(175\) 1.38979 + 0.669290i 0.105059 + 0.0505935i
\(176\) −1.13643 + 1.42504i −0.0856619 + 0.107417i
\(177\) −5.26418 + 23.0639i −0.395680 + 1.73359i
\(178\) −2.14991 −0.161143
\(179\) 20.4122 1.52568 0.762841 0.646586i \(-0.223804\pi\)
0.762841 + 0.646586i \(0.223804\pi\)
\(180\) −1.27162 + 5.57132i −0.0947808 + 0.415262i
\(181\) −11.8928 14.9131i −0.883985 1.10848i −0.993425 0.114488i \(-0.963477\pi\)
0.109440 0.993993i \(-0.465094\pi\)
\(182\) 0.851278 + 3.72969i 0.0631009 + 0.276463i
\(183\) 9.11816 + 11.4338i 0.674034 + 0.845212i
\(184\) −5.41163 + 2.60610i −0.398950 + 0.192124i
\(185\) 0.813914 3.56599i 0.0598401 0.262177i
\(186\) −3.70089 + 1.78226i −0.271363 + 0.130681i
\(187\) 7.42498 9.31064i 0.542969 0.680861i
\(188\) −0.0418051 0.183160i −0.00304895 0.0133583i
\(189\) −2.75068 12.0515i −0.200083 0.876620i
\(190\) 3.94986 + 1.90215i 0.286553 + 0.137997i
\(191\) 4.10046 5.14181i 0.296699 0.372048i −0.611029 0.791608i \(-0.709244\pi\)
0.907728 + 0.419560i \(0.137816\pi\)
\(192\) −1.84057 2.30801i −0.132832 0.166566i
\(193\) −14.3825 6.92625i −1.03528 0.498563i −0.162513 0.986706i \(-0.551960\pi\)
−0.872763 + 0.488144i \(0.837674\pi\)
\(194\) −0.557500 0.268478i −0.0400262 0.0192756i
\(195\) 4.56471 + 5.72396i 0.326886 + 0.409902i
\(196\) −2.88085 + 3.61247i −0.205775 + 0.258034i
\(197\) 20.9160 + 10.0726i 1.49020 + 0.717643i 0.989031 0.147705i \(-0.0471887\pi\)
0.501170 + 0.865349i \(0.332903\pi\)
\(198\) −2.31777 10.1548i −0.164717 0.721673i
\(199\) −3.26166 14.2903i −0.231213 1.01301i −0.948635 0.316373i \(-0.897535\pi\)
0.717422 0.696639i \(-0.245322\pi\)
\(200\) −0.623490 + 0.781831i −0.0440874 + 0.0552838i
\(201\) −4.47122 + 2.15323i −0.315376 + 0.151877i
\(202\) −4.28662 + 18.7809i −0.301605 + 1.32142i
\(203\) 7.79849 3.75556i 0.547347 0.263588i
\(204\) 12.0255 + 15.0795i 0.841956 + 1.05578i
\(205\) 0.898633 + 3.93717i 0.0627632 + 0.274984i
\(206\) 6.99515 + 8.77164i 0.487375 + 0.611149i
\(207\) 7.63791 33.4639i 0.530871 2.32590i
\(208\) −2.48005 −0.171960
\(209\) −7.99074 −0.552731
\(210\) 1.01329 4.43953i 0.0699239 0.306357i
\(211\) −0.128252 + 0.160823i −0.00882925 + 0.0110715i −0.786227 0.617938i \(-0.787968\pi\)
0.777397 + 0.629010i \(0.216540\pi\)
\(212\) −7.76507 3.73946i −0.533307 0.256827i
\(213\) 24.9997 12.0392i 1.71295 0.824915i
\(214\) −12.7983 −0.874876
\(215\) 3.78607 5.35403i 0.258208 0.365142i
\(216\) 8.01362 0.545258
\(217\) 1.93385 0.931295i 0.131279 0.0632204i
\(218\) −6.37870 3.07182i −0.432020 0.208050i
\(219\) 11.7047 14.6772i 0.790930 0.991794i
\(220\) 0.405589 1.77700i 0.0273448 0.119805i
\(221\) 16.2036 1.08997
\(222\) −10.7977 −0.724694
\(223\) 3.62285 15.8728i 0.242604 1.06292i −0.696032 0.718010i \(-0.745053\pi\)
0.938637 0.344908i \(-0.112090\pi\)
\(224\) 0.961767 + 1.20602i 0.0642608 + 0.0805805i
\(225\) −1.27162 5.57132i −0.0847745 0.371421i
\(226\) 10.9117 + 13.6829i 0.725838 + 0.910172i
\(227\) −8.51460 + 4.10042i −0.565134 + 0.272154i −0.694560 0.719435i \(-0.744401\pi\)
0.129426 + 0.991589i \(0.458687\pi\)
\(228\) 2.87983 12.6174i 0.190721 0.835604i
\(229\) 4.42730 2.13208i 0.292564 0.140892i −0.281844 0.959460i \(-0.590946\pi\)
0.574409 + 0.818568i \(0.305232\pi\)
\(230\) 3.74496 4.69603i 0.246935 0.309647i
\(231\) 1.84693 + 8.09192i 0.121519 + 0.532409i
\(232\) 1.24862 + 5.47057i 0.0819761 + 0.359161i
\(233\) 13.4972 + 6.49991i 0.884231 + 0.425823i 0.820168 0.572123i \(-0.193880\pi\)
0.0640627 + 0.997946i \(0.479594\pi\)
\(234\) 8.83639 11.0805i 0.577653 0.724354i
\(235\) 0.117135 + 0.146883i 0.00764106 + 0.00958158i
\(236\) 7.22015 + 3.47704i 0.469992 + 0.226336i
\(237\) 38.2415 + 18.4161i 2.48405 + 1.19626i
\(238\) −6.28379 7.87962i −0.407317 0.510760i
\(239\) 5.91817 7.42116i 0.382815 0.480035i −0.552671 0.833400i \(-0.686391\pi\)
0.935485 + 0.353365i \(0.114963\pi\)
\(240\) 2.65970 + 1.28085i 0.171683 + 0.0826783i
\(241\) 5.89414 + 25.8239i 0.379675 + 1.66346i 0.698469 + 0.715640i \(0.253865\pi\)
−0.318794 + 0.947824i \(0.603278\pi\)
\(242\) −1.70846 7.48527i −0.109824 0.481172i
\(243\) 3.00191 3.76428i 0.192573 0.241479i
\(244\) 4.46338 2.14945i 0.285739 0.137605i
\(245\) 1.02816 4.50468i 0.0656869 0.287793i
\(246\) 10.7410 5.17259i 0.684821 0.329793i
\(247\) −6.77893 8.50052i −0.431333 0.540875i
\(248\) 0.309631 + 1.35658i 0.0196616 + 0.0861430i
\(249\) 29.4273 + 36.9006i 1.86488 + 2.33848i
\(250\) 0.222521 0.974928i 0.0140735 0.0616599i
\(251\) 10.1670 0.641736 0.320868 0.947124i \(-0.396025\pi\)
0.320868 + 0.947124i \(0.396025\pi\)
\(252\) −8.81508 −0.555298
\(253\) −2.43615 + 10.6735i −0.153159 + 0.671035i
\(254\) −6.08059 + 7.62482i −0.381530 + 0.478424i
\(255\) −17.3774 8.36852i −1.08822 0.524057i
\(256\) −0.900969 + 0.433884i −0.0563106 + 0.0271177i
\(257\) 4.30962 0.268827 0.134413 0.990925i \(-0.457085\pi\)
0.134413 + 0.990925i \(0.457085\pi\)
\(258\) −17.8961 7.37943i −1.11416 0.459423i
\(259\) 5.64220 0.350589
\(260\) 2.23445 1.07605i 0.138574 0.0667339i
\(261\) −28.8905 13.9129i −1.78828 0.861190i
\(262\) 4.50452 5.64849i 0.278290 0.348965i
\(263\) −3.62532 + 15.8836i −0.223547 + 0.979423i 0.731237 + 0.682123i \(0.238943\pi\)
−0.954784 + 0.297300i \(0.903914\pi\)
\(264\) −5.38070 −0.331159
\(265\) 8.61858 0.529435
\(266\) −1.50482 + 6.59303i −0.0922662 + 0.404245i
\(267\) −3.95706 4.96200i −0.242168 0.303670i
\(268\) 0.374080 + 1.63895i 0.0228505 + 0.100115i
\(269\) −13.0665 16.3849i −0.796678 0.999002i −0.999803 0.0198493i \(-0.993681\pi\)
0.203125 0.979153i \(-0.434890\pi\)
\(270\) −7.22002 + 3.47698i −0.439397 + 0.211602i
\(271\) 5.60558 24.5596i 0.340514 1.49189i −0.457476 0.889222i \(-0.651247\pi\)
0.797991 0.602670i \(-0.205896\pi\)
\(272\) 5.88656 2.83482i 0.356925 0.171886i
\(273\) −7.04131 + 8.82953i −0.426160 + 0.534387i
\(274\) 5.00089 + 21.9103i 0.302115 + 1.32365i
\(275\) 0.405589 + 1.77700i 0.0244579 + 0.107157i
\(276\) −15.9754 7.69334i −0.961605 0.463085i
\(277\) 0.576619 0.723058i 0.0346457 0.0434443i −0.764207 0.644971i \(-0.776869\pi\)
0.798853 + 0.601527i \(0.205441\pi\)
\(278\) 4.64954 + 5.83034i 0.278861 + 0.349680i
\(279\) −7.16421 3.45010i −0.428910 0.206552i
\(280\) −1.38979 0.669290i −0.0830561 0.0399977i
\(281\) −8.00387 10.0365i −0.477471 0.598729i 0.483512 0.875338i \(-0.339361\pi\)
−0.960983 + 0.276608i \(0.910789\pi\)
\(282\) 0.345789 0.433605i 0.0205914 0.0258208i
\(283\) 4.33107 + 2.08573i 0.257455 + 0.123984i 0.558160 0.829733i \(-0.311508\pi\)
−0.300705 + 0.953717i \(0.597222\pi\)
\(284\) −2.09157 9.16378i −0.124112 0.543770i
\(285\) 2.87983 + 12.6174i 0.170586 + 0.747387i
\(286\) −2.81841 + 3.53417i −0.166656 + 0.208980i
\(287\) −5.61257 + 2.70287i −0.331300 + 0.159545i
\(288\) 1.27162 5.57132i 0.0749308 0.328293i
\(289\) −23.1438 + 11.1455i −1.36140 + 0.655617i
\(290\) −3.49856 4.38706i −0.205443 0.257617i
\(291\) −0.406471 1.78087i −0.0238278 0.104396i
\(292\) −3.96494 4.97187i −0.232030 0.290957i
\(293\) −4.17421 + 18.2884i −0.243860 + 1.06842i 0.693610 + 0.720351i \(0.256019\pi\)
−0.937469 + 0.348068i \(0.886838\pi\)
\(294\) −13.6400 −0.795502
\(295\) −8.01376 −0.466579
\(296\) −0.813914 + 3.56599i −0.0473078 + 0.207269i
\(297\) 9.10695 11.4198i 0.528439 0.662641i
\(298\) 1.12368 + 0.541135i 0.0650930 + 0.0313471i
\(299\) −13.4211 + 6.46326i −0.776162 + 0.373780i
\(300\) −2.95205 −0.170437
\(301\) 9.35139 + 3.85602i 0.539005 + 0.222257i
\(302\) 5.39861 0.310655
\(303\) −51.2363 + 24.6741i −2.94345 + 1.41749i
\(304\) −3.94986 1.90215i −0.226540 0.109096i
\(305\) −3.08876 + 3.87318i −0.176862 + 0.221778i
\(306\) −8.30822 + 36.4007i −0.474949 + 2.08089i
\(307\) 20.3525 1.16158 0.580788 0.814055i \(-0.302744\pi\)
0.580788 + 0.814055i \(0.302744\pi\)
\(308\) 2.81161 0.160206
\(309\) −7.36991 + 32.2897i −0.419259 + 1.83690i
\(310\) −0.867566 1.08789i −0.0492744 0.0617882i
\(311\) −1.93792 8.49060i −0.109890 0.481458i −0.999685 0.0250980i \(-0.992010\pi\)
0.889795 0.456360i \(-0.150847\pi\)
\(312\) −4.56471 5.72396i −0.258426 0.324056i
\(313\) −3.23814 + 1.55941i −0.183031 + 0.0881429i −0.523155 0.852238i \(-0.675245\pi\)
0.340124 + 0.940380i \(0.389531\pi\)
\(314\) −5.00061 + 21.9091i −0.282201 + 1.23640i
\(315\) 7.94211 3.82472i 0.447487 0.215499i
\(316\) 8.96459 11.2412i 0.504298 0.632369i
\(317\) −1.00761 4.41463i −0.0565930 0.247950i 0.938717 0.344690i \(-0.112016\pi\)
−0.995310 + 0.0967394i \(0.969159\pi\)
\(318\) −5.66148 24.8046i −0.317480 1.39097i
\(319\) 9.21478 + 4.43760i 0.515928 + 0.248458i
\(320\) 0.623490 0.781831i 0.0348541 0.0437057i
\(321\) −23.5563 29.5386i −1.31478 1.64868i
\(322\) 8.34773 + 4.02006i 0.465201 + 0.224029i
\(323\) 25.8067 + 12.4279i 1.43593 + 0.691505i
\(324\) 4.06068 + 5.09193i 0.225593 + 0.282885i
\(325\) −1.54628 + 1.93898i −0.0857724 + 0.107555i
\(326\) −11.6152 5.59359i −0.643307 0.309800i
\(327\) −4.65069 20.3760i −0.257184 1.12680i
\(328\) −0.898633 3.93717i −0.0496187 0.217394i
\(329\) −0.180687 + 0.226575i −0.00996162 + 0.0124915i
\(330\) 4.84784 2.33460i 0.266865 0.128515i
\(331\) 3.03493 13.2969i 0.166815 0.730863i −0.820442 0.571729i \(-0.806273\pi\)
0.987257 0.159134i \(-0.0508701\pi\)
\(332\) 14.4048 6.93698i 0.790566 0.380716i
\(333\) −13.0323 16.3420i −0.714168 0.895538i
\(334\) 3.21202 + 14.0728i 0.175754 + 0.770029i
\(335\) −1.04815 1.31434i −0.0572664 0.0718098i
\(336\) −1.01329 + 4.43953i −0.0552797 + 0.242196i
\(337\) −23.2595 −1.26703 −0.633513 0.773732i \(-0.718388\pi\)
−0.633513 + 0.773732i \(0.718388\pi\)
\(338\) 6.84936 0.372556
\(339\) −11.4963 + 50.3687i −0.624395 + 2.73565i
\(340\) −4.07362 + 5.10816i −0.220923 + 0.277029i
\(341\) 2.28506 + 1.10043i 0.123743 + 0.0595915i
\(342\) 22.5719 10.8700i 1.22055 0.587784i
\(343\) 17.9253 0.967875
\(344\) −3.78607 + 5.35403i −0.204131 + 0.288670i
\(345\) 17.7313 0.954624
\(346\) 18.1261 8.72909i 0.974467 0.469279i
\(347\) −0.271909 0.130944i −0.0145968 0.00702946i 0.426571 0.904454i \(-0.359721\pi\)
−0.441168 + 0.897425i \(0.645436\pi\)
\(348\) −10.3279 + 12.9508i −0.553635 + 0.694236i
\(349\) 7.71237 33.7901i 0.412834 1.80874i −0.157723 0.987483i \(-0.550415\pi\)
0.570556 0.821259i \(-0.306728\pi\)
\(350\) 1.54255 0.0824530
\(351\) 19.8742 1.06080
\(352\) −0.405589 + 1.77700i −0.0216179 + 0.0947144i
\(353\) −5.64317 7.07631i −0.300355 0.376634i 0.608635 0.793450i \(-0.291717\pi\)
−0.908991 + 0.416816i \(0.863146\pi\)
\(354\) 5.26418 + 23.0639i 0.279788 + 1.22583i
\(355\) 5.86045 + 7.34878i 0.311041 + 0.390033i
\(356\) −1.93700 + 0.932811i −0.102661 + 0.0494389i
\(357\) 6.62044 29.0060i 0.350391 1.53516i
\(358\) 18.3908 8.85654i 0.971983 0.468082i
\(359\) −21.7838 + 27.3160i −1.14970 + 1.44168i −0.272118 + 0.962264i \(0.587724\pi\)
−0.877586 + 0.479419i \(0.840847\pi\)
\(360\) 1.27162 + 5.57132i 0.0670201 + 0.293634i
\(361\) −0.0488631 0.214083i −0.00257174 0.0112675i
\(362\) −17.1856 8.27615i −0.903255 0.434985i
\(363\) 14.1315 17.7203i 0.741711 0.930076i
\(364\) 2.38523 + 2.99098i 0.125020 + 0.156770i
\(365\) 5.72950 + 2.75918i 0.299896 + 0.144422i
\(366\) 13.1761 + 6.34529i 0.688727 + 0.331674i
\(367\) −11.0701 13.8815i −0.577855 0.724607i 0.403890 0.914807i \(-0.367658\pi\)
−0.981745 + 0.190200i \(0.939086\pi\)
\(368\) −3.74496 + 4.69603i −0.195220 + 0.244798i
\(369\) 20.7925 + 10.0131i 1.08241 + 0.521263i
\(370\) −0.813914 3.56599i −0.0423134 0.185387i
\(371\) 2.95833 + 12.9613i 0.153589 + 0.672917i
\(372\) −2.56110 + 3.21151i −0.132787 + 0.166509i
\(373\) −30.6316 + 14.7514i −1.58604 + 0.763798i −0.998954 0.0457248i \(-0.985440\pi\)
−0.587089 + 0.809523i \(0.699726\pi\)
\(374\) 2.64995 11.6102i 0.137025 0.600348i
\(375\) 2.65970 1.28085i 0.137347 0.0661426i
\(376\) −0.117135 0.146883i −0.00604078 0.00757490i
\(377\) 3.09664 + 13.5673i 0.159485 + 0.698750i
\(378\) −7.70724 9.66457i −0.396418 0.497092i
\(379\) −1.31885 + 5.77826i −0.0677448 + 0.296809i −0.997439 0.0715231i \(-0.977214\pi\)
0.929694 + 0.368332i \(0.120071\pi\)
\(380\) 4.38402 0.224895
\(381\) −28.7899 −1.47495
\(382\) 1.46344 6.41173i 0.0748759 0.328053i
\(383\) −2.74413 + 3.44103i −0.140219 + 0.175829i −0.846982 0.531621i \(-0.821583\pi\)
0.706764 + 0.707450i \(0.250154\pi\)
\(384\) −2.65970 1.28085i −0.135727 0.0653629i
\(385\) −2.53318 + 1.21991i −0.129103 + 0.0621725i
\(386\) −15.9634 −0.812515
\(387\) −10.4313 35.9920i −0.530251 1.82958i
\(388\) −0.618779 −0.0314137
\(389\) −19.6094 + 9.44339i −0.994236 + 0.478799i −0.858978 0.512012i \(-0.828900\pi\)
−0.135257 + 0.990810i \(0.543186\pi\)
\(390\) 6.59619 + 3.17656i 0.334011 + 0.160851i
\(391\) 24.4680 30.6819i 1.23740 1.55165i
\(392\) −1.02816 + 4.50468i −0.0519301 + 0.227521i
\(393\) 21.3276 1.07584
\(394\) 23.2150 1.16955
\(395\) −3.19943 + 14.0176i −0.160981 + 0.705302i
\(396\) −6.49426 8.14354i −0.326349 0.409229i
\(397\) −5.72610 25.0877i −0.287385 1.25911i −0.888099 0.459651i \(-0.847974\pi\)
0.600715 0.799464i \(-0.294883\pi\)
\(398\) −9.13898 11.4599i −0.458096 0.574434i
\(399\) −17.9865 + 8.66183i −0.900450 + 0.433634i
\(400\) −0.222521 + 0.974928i −0.0111260 + 0.0487464i
\(401\) 13.5883 6.54376i 0.678565 0.326780i −0.0626613 0.998035i \(-0.519959\pi\)
0.741226 + 0.671255i \(0.234244\pi\)
\(402\) −3.09418 + 3.87998i −0.154324 + 0.193516i
\(403\) 0.767899 + 3.36438i 0.0382518 + 0.167592i
\(404\) 4.28662 + 18.7809i 0.213267 + 0.934385i
\(405\) −5.86785 2.82581i −0.291576 0.140416i
\(406\) 5.39672 6.76728i 0.267835 0.335854i
\(407\) 4.15673 + 5.21237i 0.206041 + 0.258368i
\(408\) 17.3774 + 8.36852i 0.860310 + 0.414303i
\(409\) 7.12125 + 3.42941i 0.352123 + 0.169574i 0.601581 0.798812i \(-0.294538\pi\)
−0.249457 + 0.968386i \(0.580252\pi\)
\(410\) 2.51791 + 3.15736i 0.124351 + 0.155931i
\(411\) −41.3647 + 51.8697i −2.04037 + 2.55854i
\(412\) 10.1083 + 4.86789i 0.497999 + 0.239824i
\(413\) −2.75073 12.0517i −0.135355 0.593027i
\(414\) −7.63791 33.4639i −0.375383 1.64466i
\(415\) −9.96842 + 12.5000i −0.489331 + 0.613601i
\(416\) −2.23445 + 1.07605i −0.109553 + 0.0527578i
\(417\) −4.89864 + 21.4623i −0.239887 + 1.05101i
\(418\) −7.19941 + 3.46705i −0.352134 + 0.169579i
\(419\) −21.6301 27.1233i −1.05670 1.32506i −0.943457 0.331494i \(-0.892447\pi\)
−0.113243 0.993567i \(-0.536124\pi\)
\(420\) −1.01329 4.43953i −0.0494436 0.216627i
\(421\) 0.406905 + 0.510242i 0.0198313 + 0.0248677i 0.791648 0.610977i \(-0.209223\pi\)
−0.771817 + 0.635845i \(0.780652\pi\)
\(422\) −0.0457727 + 0.200543i −0.00222818 + 0.00976229i
\(423\) 1.07360 0.0522003
\(424\) −8.61858 −0.418555
\(425\) 1.45386 6.36977i 0.0705225 0.308979i
\(426\) 17.3004 21.6940i 0.838205 1.05108i
\(427\) −6.88501 3.31565i −0.333189 0.160455i
\(428\) −11.5309 + 5.55299i −0.557367 + 0.268414i
\(429\) −13.3444 −0.644273
\(430\) 1.08811 6.46653i 0.0524732 0.311844i
\(431\) 26.0189 1.25328 0.626642 0.779307i \(-0.284429\pi\)
0.626642 + 0.779307i \(0.284429\pi\)
\(432\) 7.22002 3.47698i 0.347374 0.167286i
\(433\) −27.2657 13.1305i −1.31031 0.631010i −0.357307 0.933987i \(-0.616305\pi\)
−0.952998 + 0.302977i \(0.902019\pi\)
\(434\) 1.33827 1.67814i 0.0642389 0.0805531i
\(435\) 3.68599 16.1494i 0.176730 0.774304i
\(436\) −7.07983 −0.339062
\(437\) −26.3324 −1.25965
\(438\) 4.17736 18.3022i 0.199602 0.874512i
\(439\) −2.66568 3.34265i −0.127226 0.159536i 0.714139 0.700004i \(-0.246819\pi\)
−0.841364 + 0.540468i \(0.818247\pi\)
\(440\) −0.405589 1.77700i −0.0193357 0.0847151i
\(441\) −16.4629 20.6438i −0.783947 0.983039i
\(442\) 14.5989 7.03048i 0.694401 0.334406i
\(443\) 7.97401 34.9364i 0.378857 1.65988i −0.322123 0.946698i \(-0.604397\pi\)
0.700980 0.713181i \(-0.252746\pi\)
\(444\) −9.72839 + 4.68495i −0.461689 + 0.222338i
\(445\) 1.34045 1.68087i 0.0635433 0.0796807i
\(446\) −3.62285 15.8728i −0.171547 0.751597i
\(447\) 0.819270 + 3.58946i 0.0387502 + 0.169776i
\(448\) 1.38979 + 0.669290i 0.0656616 + 0.0316210i
\(449\) −2.01257 + 2.52368i −0.0949789 + 0.119100i −0.827050 0.562129i \(-0.809983\pi\)
0.732071 + 0.681229i \(0.238554\pi\)
\(450\) −3.56299 4.46785i −0.167961 0.210617i
\(451\) −6.63187 3.19374i −0.312283 0.150387i
\(452\) 15.7679 + 7.59343i 0.741660 + 0.357165i
\(453\) 9.93653 + 12.4600i 0.466859 + 0.585423i
\(454\) −5.89229 + 7.38870i −0.276539 + 0.346769i
\(455\) −3.44676 1.65987i −0.161586 0.0778159i
\(456\) −2.87983 12.6174i −0.134860 0.590862i
\(457\) −1.17301 5.13930i −0.0548712 0.240407i 0.940054 0.341026i \(-0.110775\pi\)
−0.994925 + 0.100620i \(0.967917\pi\)
\(458\) 3.06379 3.84187i 0.143161 0.179519i
\(459\) −47.1726 + 22.7171i −2.20183 + 1.06035i
\(460\) 1.33656 5.85586i 0.0623175 0.273031i
\(461\) 10.9193 5.25846i 0.508563 0.244911i −0.161963 0.986797i \(-0.551783\pi\)
0.670526 + 0.741886i \(0.266068\pi\)
\(462\) 5.17498 + 6.48922i 0.240762 + 0.301906i
\(463\) 3.64541 + 15.9716i 0.169416 + 0.742262i 0.986233 + 0.165364i \(0.0528798\pi\)
−0.816816 + 0.576898i \(0.804263\pi\)
\(464\) 3.49856 + 4.38706i 0.162417 + 0.203664i
\(465\) 0.914045 4.00469i 0.0423878 0.185713i
\(466\) 14.9808 0.693970
\(467\) −19.5625 −0.905247 −0.452623 0.891702i \(-0.649512\pi\)
−0.452623 + 0.891702i \(0.649512\pi\)
\(468\) 3.15367 13.8171i 0.145779 0.638697i
\(469\) 1.61683 2.02743i 0.0746581 0.0936182i
\(470\) 0.169265 + 0.0815138i 0.00780762 + 0.00375995i
\(471\) −59.7704 + 28.7839i −2.75407 + 1.32629i
\(472\) 8.01376 0.368863
\(473\) 3.32710 + 11.4798i 0.152980 + 0.527843i
\(474\) 42.4448 1.94956
\(475\) −3.94986 + 1.90215i −0.181232 + 0.0872768i
\(476\) −9.08034 4.37286i −0.416196 0.200430i
\(477\) 30.7079 38.5065i 1.40602 1.76309i
\(478\) 2.11217 9.25403i 0.0966085 0.423270i
\(479\) 7.17639 0.327898 0.163949 0.986469i \(-0.447577\pi\)
0.163949 + 0.986469i \(0.447577\pi\)
\(480\) 2.95205 0.134742
\(481\) −2.01855 + 8.84382i −0.0920377 + 0.403244i
\(482\) 16.5150 + 20.7092i 0.752238 + 0.943277i
\(483\) 6.08630 + 26.6658i 0.276936 + 1.21334i
\(484\) −4.78701 6.00272i −0.217591 0.272851i
\(485\) 0.557500 0.268478i 0.0253148 0.0121910i
\(486\) 1.07137 4.69398i 0.0485983 0.212923i
\(487\) 8.32583 4.00951i 0.377279 0.181688i −0.235627 0.971843i \(-0.575714\pi\)
0.612907 + 0.790155i \(0.290000\pi\)
\(488\) 3.08876 3.87318i 0.139821 0.175331i
\(489\) −8.46860 37.1034i −0.382963 1.67787i
\(490\) −1.02816 4.50468i −0.0464477 0.203501i
\(491\) 6.68735 + 3.22046i 0.301796 + 0.145337i 0.578653 0.815574i \(-0.303579\pi\)
−0.276857 + 0.960911i \(0.589293\pi\)
\(492\) 7.43300 9.32069i 0.335106 0.420209i
\(493\) −22.8581 28.6632i −1.02948 1.29093i
\(494\) −9.79584 4.71743i −0.440736 0.212247i
\(495\) 9.38448 + 4.51933i 0.421801 + 0.203129i
\(496\) 0.867566 + 1.08789i 0.0389549 + 0.0488478i
\(497\) −9.04007 + 11.3359i −0.405503 + 0.508484i
\(498\) 42.5237 + 20.4783i 1.90553 + 0.917655i
\(499\) −3.29815 14.4502i −0.147646 0.646878i −0.993536 0.113521i \(-0.963787\pi\)
0.845890 0.533357i \(-0.179070\pi\)
\(500\) −0.222521 0.974928i −0.00995144 0.0436001i
\(501\) −26.5681 + 33.3154i −1.18698 + 1.48842i
\(502\) 9.16016 4.41130i 0.408838 0.196886i
\(503\) −5.60161 + 24.5422i −0.249763 + 1.09428i 0.682038 + 0.731317i \(0.261094\pi\)
−0.931802 + 0.362968i \(0.881763\pi\)
\(504\) −7.94211 + 3.82472i −0.353770 + 0.170367i
\(505\) −12.0108 15.0611i −0.534475 0.670211i
\(506\) 2.43615 + 10.6735i 0.108300 + 0.474493i
\(507\) 12.6068 + 15.8084i 0.559885 + 0.702074i
\(508\) −2.17014 + 9.50800i −0.0962843 + 0.421849i
\(509\) 20.2481 0.897482 0.448741 0.893662i \(-0.351873\pi\)
0.448741 + 0.893662i \(0.351873\pi\)
\(510\) −19.2875 −0.854063
\(511\) −2.18282 + 9.56357i −0.0965624 + 0.423067i
\(512\) −0.623490 + 0.781831i −0.0275546 + 0.0345524i
\(513\) 31.6527 + 15.2431i 1.39750 + 0.673001i
\(514\) 3.88284 1.86988i 0.171265 0.0824767i
\(515\) −11.2193 −0.494383
\(516\) −19.3257 + 1.11621i −0.850765 + 0.0491383i
\(517\) −0.342431 −0.0150601
\(518\) 5.08344 2.44806i 0.223354 0.107561i
\(519\) 53.5093 + 25.7687i 2.34880 + 1.13112i
\(520\) 1.54628 1.93898i 0.0678091 0.0850299i
\(521\) 9.12481 39.9784i 0.399765 1.75149i −0.228556 0.973531i \(-0.573400\pi\)
0.628321 0.777954i \(-0.283743\pi\)
\(522\) −32.0661 −1.40349
\(523\) −24.2654 −1.06105 −0.530527 0.847668i \(-0.678006\pi\)
−0.530527 + 0.847668i \(0.678006\pi\)
\(524\) 1.60764 7.04355i 0.0702303 0.307699i
\(525\) 2.83918 + 3.56023i 0.123912 + 0.155381i
\(526\) 3.62532 + 15.8836i 0.158072 + 0.692556i
\(527\) −5.66831 7.10784i −0.246916 0.309622i
\(528\) −4.84784 + 2.33460i −0.210975 + 0.101600i
\(529\) −2.91001 + 12.7496i −0.126522 + 0.554330i
\(530\) 7.76507 3.73946i 0.337293 0.162432i
\(531\) −28.5530 + 35.8043i −1.23909 + 1.55377i
\(532\) 1.50482 + 6.59303i 0.0652421 + 0.285844i
\(533\) −2.22865 9.76436i −0.0965336 0.422942i
\(534\) −5.71812 2.75370i −0.247447 0.119164i
\(535\) 7.97963 10.0061i 0.344989 0.432603i
\(536\) 1.04815 + 1.31434i 0.0452731 + 0.0567706i
\(537\) 54.2905 + 26.1449i 2.34281 + 1.12824i
\(538\) −18.8816 9.09291i −0.814044 0.392023i
\(539\) 5.25092 + 6.58445i 0.226173 + 0.283612i
\(540\) −4.99641 + 6.26530i −0.215011 + 0.269616i
\(541\) 1.02854 + 0.495317i 0.0442203 + 0.0212954i 0.455863 0.890050i \(-0.349331\pi\)
−0.411643 + 0.911345i \(0.635045\pi\)
\(542\) −5.60558 24.5596i −0.240780 1.05493i
\(543\) −12.5299 54.8973i −0.537712 2.35587i
\(544\) 4.07362 5.10816i 0.174655 0.219011i
\(545\) 6.37870 3.07182i 0.273234 0.131582i
\(546\) −2.51302 + 11.0102i −0.107547 + 0.471195i
\(547\) 2.56323 1.23439i 0.109596 0.0527786i −0.378283 0.925690i \(-0.623485\pi\)
0.487878 + 0.872912i \(0.337771\pi\)
\(548\) 14.0122 + 17.5707i 0.598571 + 0.750585i
\(549\) 6.29957 + 27.6002i 0.268859 + 1.17795i
\(550\) 1.13643 + 1.42504i 0.0484577 + 0.0607640i
\(551\) −5.47398 + 23.9831i −0.233199 + 1.02171i
\(552\) −17.7313 −0.754696
\(553\) −22.1790 −0.943147
\(554\) 0.205793 0.901638i 0.00874331 0.0383069i
\(555\) 6.73225 8.44198i 0.285768 0.358342i
\(556\) 6.71878 + 3.23559i 0.284940 + 0.137220i
\(557\) −2.77835 + 1.33798i −0.117722 + 0.0566922i −0.491818 0.870698i \(-0.663667\pi\)
0.374096 + 0.927390i \(0.377953\pi\)
\(558\) −7.95168 −0.336621
\(559\) −9.38964 + 13.2783i −0.397140 + 0.561610i
\(560\) −1.54255 −0.0651848
\(561\) 31.6738 15.2533i 1.33727 0.643994i
\(562\) −11.5659 5.56985i −0.487879 0.234950i
\(563\) 14.3814 18.0337i 0.606105 0.760032i −0.380211 0.924900i \(-0.624148\pi\)
0.986316 + 0.164868i \(0.0527199\pi\)
\(564\) 0.123411 0.540697i 0.00519652 0.0227675i
\(565\) −17.5011 −0.736275
\(566\) 4.80712 0.202058
\(567\) 2.23553 9.79450i 0.0938835 0.411330i
\(568\) −5.86045 7.34878i −0.245899 0.308348i
\(569\) 6.82985 + 29.9235i 0.286322 + 1.25446i 0.889530 + 0.456876i \(0.151032\pi\)
−0.603208 + 0.797584i \(0.706111\pi\)
\(570\) 8.06910 + 10.1183i 0.337977 + 0.423810i
\(571\) −10.6984 + 5.15208i −0.447714 + 0.215608i −0.644135 0.764912i \(-0.722782\pi\)
0.196421 + 0.980520i \(0.437068\pi\)
\(572\) −1.00588 + 4.40704i −0.0420579 + 0.184268i
\(573\) 17.4919 8.42364i 0.730734 0.351903i
\(574\) −3.88402 + 4.87041i −0.162116 + 0.203287i
\(575\) 1.33656 + 5.85586i 0.0557385 + 0.244206i
\(576\) −1.27162 5.57132i −0.0529841 0.232138i
\(577\) 23.6762 + 11.4019i 0.985654 + 0.474666i 0.856046 0.516899i \(-0.172914\pi\)
0.129608 + 0.991565i \(0.458628\pi\)
\(578\) −16.0160 + 20.0835i −0.666179 + 0.835362i
\(579\) −29.3818 36.8436i −1.22106 1.53117i
\(580\) −5.05557 2.43463i −0.209921 0.101093i
\(581\) −22.2202 10.7007i −0.921848 0.443939i
\(582\) −1.13891 1.42814i −0.0472092 0.0591985i
\(583\) −9.79444 + 12.2818i −0.405644 + 0.508662i
\(584\) −5.72950 2.75918i −0.237088 0.114176i
\(585\) 3.15367 + 13.8171i 0.130388 + 0.571268i
\(586\) 4.17421 + 18.2884i 0.172435 + 0.755486i
\(587\) −25.7970 + 32.3484i −1.06476 + 1.33516i −0.125443 + 0.992101i \(0.540035\pi\)
−0.939313 + 0.343062i \(0.888536\pi\)
\(588\) −12.2892 + 5.91818i −0.506799 + 0.244062i
\(589\) −1.35743 + 5.94727i −0.0559317 + 0.245053i
\(590\) −7.22015 + 3.47704i −0.297249 + 0.143148i
\(591\) 42.7289 + 53.5803i 1.75763 + 2.20400i
\(592\) 0.813914 + 3.56599i 0.0334516 + 0.146561i
\(593\) −14.6288 18.3439i −0.600731 0.753293i 0.384761 0.923016i \(-0.374284\pi\)
−0.985492 + 0.169723i \(0.945713\pi\)
\(594\) 3.25023 14.2402i 0.133359 0.584283i
\(595\) 10.0784 0.413175
\(596\) 1.24719 0.0510869
\(597\) 9.62860 42.1856i 0.394072 1.72654i
\(598\) −9.28768 + 11.6464i −0.379802 + 0.476256i
\(599\) −25.0099 12.0441i −1.02188 0.492109i −0.153570 0.988138i \(-0.549077\pi\)
−0.868306 + 0.496028i \(0.834791\pi\)
\(600\) −2.65970 + 1.28085i −0.108582 + 0.0522903i
\(601\) 10.3664 0.422854 0.211427 0.977394i \(-0.432189\pi\)
0.211427 + 0.977394i \(0.432189\pi\)
\(602\) 10.0984 0.583260i 0.411579 0.0237719i
\(603\) −9.60680 −0.391219
\(604\) 4.86398 2.34237i 0.197913 0.0953096i
\(605\) 6.91743 + 3.33126i 0.281234 + 0.135435i
\(606\) −35.4566 + 44.4612i −1.44033 + 1.80611i
\(607\) 5.15707 22.5946i 0.209319 0.917087i −0.755702 0.654915i \(-0.772704\pi\)
0.965021 0.262171i \(-0.0844386\pi\)
\(608\) −4.38402 −0.177795
\(609\) 25.5520 1.03542
\(610\) −1.10236 + 4.82978i −0.0446334 + 0.195552i
\(611\) −0.290501 0.364276i −0.0117524 0.0147370i
\(612\) 8.30822 + 36.4007i 0.335840 + 1.47141i
\(613\) 12.5121 + 15.6897i 0.505361 + 0.633703i 0.967429 0.253142i \(-0.0814639\pi\)
−0.462068 + 0.886844i \(0.652892\pi\)
\(614\) 18.3369 8.83060i 0.740018 0.356374i
\(615\) −2.65281 + 11.6227i −0.106972 + 0.468673i
\(616\) 2.53318 1.21991i 0.102065 0.0491517i
\(617\) 23.5877 29.5780i 0.949605 1.19077i −0.0319315 0.999490i \(-0.510166\pi\)
0.981536 0.191277i \(-0.0612627\pi\)
\(618\) 7.36991 + 32.2897i 0.296461 + 1.29888i
\(619\) 1.51628 + 6.64325i 0.0609444 + 0.267015i 0.996216 0.0869173i \(-0.0277016\pi\)
−0.935271 + 0.353932i \(0.884844\pi\)
\(620\) −1.25367 0.603735i −0.0503486 0.0242466i
\(621\) 30.0107 37.6322i 1.20429 1.51013i
\(622\) −5.42994 6.80893i −0.217721 0.273013i
\(623\) 2.98793 + 1.43891i 0.119709 + 0.0576488i
\(624\) −6.59619 3.17656i −0.264059 0.127164i
\(625\) 0.623490 + 0.781831i 0.0249396 + 0.0312733i
\(626\) −2.24086 + 2.80995i −0.0895629 + 0.112308i
\(627\) −21.2530 10.2349i −0.848763 0.408743i
\(628\) 5.00061 + 21.9091i 0.199546 + 0.874269i
\(629\) −5.31777 23.2987i −0.212034 0.928980i
\(630\) 5.49611 6.89191i 0.218970 0.274580i
\(631\) 27.3005 13.1472i 1.08682 0.523384i 0.197327 0.980338i \(-0.436774\pi\)
0.889490 + 0.456954i \(0.151060\pi\)
\(632\) 3.19943 14.0176i 0.127266 0.557590i
\(633\) −0.547103 + 0.263471i −0.0217454 + 0.0104720i
\(634\) −2.82326 3.54026i −0.112126 0.140601i
\(635\) −2.17014 9.50800i −0.0861193 0.377313i
\(636\) −15.8631 19.8917i −0.629014 0.788758i
\(637\) −2.54989 + 11.1718i −0.101030 + 0.442643i
\(638\) 10.2276 0.404916
\(639\) 53.7140 2.12489
\(640\) 0.222521 0.974928i 0.00879591 0.0385374i
\(641\) −25.1991 + 31.5986i −0.995303 + 1.24807i −0.0266523 + 0.999645i \(0.508485\pi\)
−0.968651 + 0.248426i \(0.920087\pi\)
\(642\) −34.0398 16.3927i −1.34344 0.646968i
\(643\) 29.9271 14.4121i 1.18021 0.568360i 0.262238 0.965003i \(-0.415539\pi\)
0.917973 + 0.396644i \(0.129825\pi\)
\(644\) 9.26528 0.365103
\(645\) 16.9275 9.39077i 0.666521 0.369761i
\(646\) 28.6433 1.12696
\(647\) −15.5109 + 7.46964i −0.609795 + 0.293662i −0.713182 0.700979i \(-0.752747\pi\)
0.103386 + 0.994641i \(0.467032\pi\)
\(648\) 5.86785 + 2.82581i 0.230511 + 0.111008i
\(649\) 9.10711 11.4200i 0.357485 0.448273i
\(650\) −0.551863 + 2.41787i −0.0216458 + 0.0948366i
\(651\) 6.33632 0.248340
\(652\) −12.8919 −0.504886
\(653\) −4.99510 + 21.8849i −0.195473 + 0.856424i 0.778117 + 0.628120i \(0.216175\pi\)
−0.973590 + 0.228304i \(0.926682\pi\)
\(654\) −13.0309 16.3403i −0.509550 0.638956i
\(655\) 1.60764 + 7.04355i 0.0628159 + 0.275214i
\(656\) −2.51791 3.15736i −0.0983080 0.123274i
\(657\) 32.7418 15.7676i 1.27738 0.615153i
\(658\) −0.0644866 + 0.282534i −0.00251395 + 0.0110143i
\(659\) 16.2080 7.80535i 0.631373 0.304053i −0.0906915 0.995879i \(-0.528908\pi\)
0.722064 + 0.691826i \(0.243193\pi\)
\(660\) 3.35481 4.20680i 0.130586 0.163749i
\(661\) −3.95159 17.3131i −0.153699 0.673400i −0.991791 0.127871i \(-0.959186\pi\)
0.838092 0.545529i \(-0.183671\pi\)
\(662\) −3.03493 13.2969i −0.117956 0.516798i
\(663\) 43.0968 + 20.7543i 1.67374 + 0.806031i
\(664\) 9.96842 12.5000i 0.386850 0.485094i
\(665\) −4.21640 5.28720i −0.163505 0.205029i
\(666\) −18.8323 9.06915i −0.729736 0.351422i
\(667\) 30.3660 + 14.6235i 1.17578 + 0.566225i
\(668\) 8.99989 + 11.2855i 0.348216 + 0.436649i
\(669\) 29.9663 37.5765i 1.15856 1.45279i
\(670\) −1.51462 0.729401i −0.0585148 0.0281792i
\(671\) −2.00928 8.80322i −0.0775673 0.339845i
\(672\) 1.01329 + 4.43953i 0.0390886 + 0.171259i
\(673\) −3.84835 + 4.82568i −0.148343 + 0.186016i −0.850451 0.526054i \(-0.823671\pi\)
0.702108 + 0.712070i \(0.252242\pi\)
\(674\) −20.9561 + 10.0919i −0.807199 + 0.388726i
\(675\) 1.78320 7.81270i 0.0686354 0.300711i
\(676\) 6.17106 2.97183i 0.237349 0.114301i
\(677\) −14.8118 18.5734i −0.569264 0.713834i 0.410976 0.911646i \(-0.365188\pi\)
−0.980240 + 0.197812i \(0.936616\pi\)
\(678\) 11.4963 + 50.3687i 0.441514 + 1.93440i
\(679\) 0.595121 + 0.746258i 0.0228387 + 0.0286388i
\(680\) −1.45386 + 6.36977i −0.0557530 + 0.244270i
\(681\) −27.8983 −1.06907
\(682\) 2.53623 0.0971171
\(683\) 9.05575 39.6758i 0.346509 1.51815i −0.438535 0.898714i \(-0.644503\pi\)
0.785044 0.619440i \(-0.212640\pi\)
\(684\) 15.6202 19.5871i 0.597254 0.748933i
\(685\) −20.2482 9.75102i −0.773644 0.372567i
\(686\) 16.1501 7.77750i 0.616615 0.296946i
\(687\) 14.5062 0.553445
\(688\) −1.08811 + 6.46653i −0.0414837 + 0.246534i
\(689\) −21.3745 −0.814303
\(690\) 15.9754 7.69334i 0.608173 0.292881i
\(691\) −3.02689 1.45767i −0.115148 0.0554525i 0.375423 0.926854i \(-0.377498\pi\)
−0.490571 + 0.871401i \(0.663212\pi\)
\(692\) 12.5437 15.7293i 0.476839 0.597937i
\(693\) −3.57529 + 15.6644i −0.135814 + 0.595041i
\(694\) −0.301796 −0.0114560
\(695\) −7.45728 −0.282871
\(696\) −3.68599 + 16.1494i −0.139717 + 0.612141i
\(697\) 16.4510 + 20.6289i 0.623126 + 0.781375i
\(698\) −7.71237 33.7901i −0.291917 1.27897i
\(699\) 27.5732 + 34.5757i 1.04291 + 1.30777i
\(700\) 1.38979 0.669290i 0.0525293 0.0252968i
\(701\) −2.69174 + 11.7933i −0.101666 + 0.445426i 0.898316 + 0.439350i \(0.144791\pi\)
−0.999982 + 0.00607615i \(0.998066\pi\)
\(702\) 17.9060 8.62308i 0.675819 0.325457i
\(703\) −9.99790 + 12.5370i −0.377078 + 0.472841i
\(704\) 0.405589 + 1.77700i 0.0152862 + 0.0669732i
\(705\) 0.123411 + 0.540697i 0.00464791 + 0.0203638i
\(706\) −8.15461 3.92705i −0.306903 0.147797i
\(707\) 18.5274 23.2326i 0.696794 0.873752i
\(708\) 14.7499 + 18.4958i 0.554336 + 0.695115i
\(709\) −8.82715 4.25093i −0.331510 0.159647i 0.260723 0.965414i \(-0.416039\pi\)
−0.592233 + 0.805767i \(0.701753\pi\)
\(710\) 8.46860 + 4.07826i 0.317821 + 0.153055i
\(711\) 51.2290 + 64.2392i 1.92124 + 2.40916i
\(712\) −1.34045 + 1.68087i −0.0502354 + 0.0629931i
\(713\) 7.53010 + 3.62631i 0.282005 + 0.135806i
\(714\) −6.62044 29.0060i −0.247764 1.08552i
\(715\) −1.00588 4.40704i −0.0376177 0.164814i
\(716\) 12.7268 15.9589i 0.475624 0.596413i
\(717\) 25.2460 12.1578i 0.942828 0.454042i
\(718\) −7.77454 + 34.0625i −0.290143 + 1.27120i
\(719\) −27.7148 + 13.3467i −1.03359 + 0.497749i −0.872204 0.489143i \(-0.837310\pi\)
−0.161383 + 0.986892i \(0.551596\pi\)
\(720\) 3.56299 + 4.46785i 0.132785 + 0.166507i
\(721\) −3.85105 16.8725i −0.143421 0.628366i
\(722\) −0.136911 0.171681i −0.00509531 0.00638932i
\(723\) −17.3998 + 76.2335i −0.647105 + 2.83515i
\(724\) −19.0746 −0.708901
\(725\) 5.61126 0.208397
\(726\) 5.04347 22.0969i 0.187181 0.820093i
\(727\) −17.1938 + 21.5603i −0.637681 + 0.799627i −0.990711 0.135985i \(-0.956580\pi\)
0.353029 + 0.935612i \(0.385152\pi\)
\(728\) 3.44676 + 1.65987i 0.127745 + 0.0615189i
\(729\) 30.4092 14.6443i 1.12627 0.542382i
\(730\) 6.35926 0.235367
\(731\) 7.10924 42.2496i 0.262945 1.56266i
\(732\) 14.6244 0.540533
\(733\) 4.07694 1.96335i 0.150585 0.0725180i −0.357073 0.934076i \(-0.616225\pi\)
0.507659 + 0.861558i \(0.330511\pi\)
\(734\) −15.9968 7.70364i −0.590452 0.284346i
\(735\) 8.50441 10.6642i 0.313690 0.393355i
\(736\) −1.33656 + 5.85586i −0.0492663 + 0.215850i
\(737\) 3.06413 0.112869
\(738\) 23.0779 0.849511
\(739\) 9.49161 41.5854i 0.349154 1.52975i −0.429951 0.902852i \(-0.641469\pi\)
0.779105 0.626893i \(-0.215674\pi\)
\(740\) −2.28054 2.85970i −0.0838342 0.105125i
\(741\) −7.14211 31.2916i −0.262372 1.14953i
\(742\) 8.28907 + 10.3942i 0.304301 + 0.381582i
\(743\) −23.9735 + 11.5450i −0.879501 + 0.423545i −0.818442 0.574589i \(-0.805162\pi\)
−0.0610589 + 0.998134i \(0.519448\pi\)
\(744\) −0.914045 + 4.00469i −0.0335105 + 0.146819i
\(745\) −1.12368 + 0.541135i −0.0411684 + 0.0198257i
\(746\) −21.1977 + 26.5811i −0.776103 + 0.973203i
\(747\) 20.3308 + 89.0749i 0.743864 + 3.25908i
\(748\) −2.64995 11.6102i −0.0968916 0.424510i
\(749\) 17.7870 + 8.56579i 0.649924 + 0.312987i
\(750\) 1.84057 2.30801i 0.0672082 0.0842764i
\(751\) 13.1196 + 16.4514i 0.478740 + 0.600321i 0.961287 0.275549i \(-0.0888597\pi\)
−0.482547 + 0.875870i \(0.660288\pi\)
\(752\) −0.169265 0.0815138i −0.00617247 0.00297250i
\(753\) 27.0412 + 13.0224i 0.985437 + 0.474562i
\(754\) 8.67660 + 10.8801i 0.315983 + 0.396230i
\(755\) −3.36598 + 4.22080i −0.122500 + 0.153611i
\(756\) −11.1373 5.36343i −0.405059 0.195066i
\(757\) −0.893368 3.91410i −0.0324700 0.142260i 0.956095 0.293058i \(-0.0946729\pi\)
−0.988565 + 0.150798i \(0.951816\pi\)
\(758\) 1.31885 + 5.77826i 0.0479028 + 0.209876i
\(759\) −20.1505 + 25.2679i −0.731417 + 0.917168i
\(760\) 3.94986 1.90215i 0.143277 0.0689983i
\(761\) −8.09695 + 35.4751i −0.293514 + 1.28597i 0.586083 + 0.810251i \(0.300669\pi\)
−0.879597 + 0.475719i \(0.842188\pi\)
\(762\) −25.9388 + 12.4915i −0.939664 + 0.452518i
\(763\) 6.80915 + 8.53840i 0.246508 + 0.309111i
\(764\) −1.46344 6.41173i −0.0529453 0.231968i
\(765\) −23.2791 29.1911i −0.841658 1.05541i
\(766\) −0.979369 + 4.29090i −0.0353861 + 0.155036i
\(767\) 19.8745 0.717627
\(768\) −2.95205 −0.106523
\(769\) −10.5950 + 46.4195i −0.382064 + 1.67393i 0.308942 + 0.951081i \(0.400025\pi\)
−0.691005 + 0.722850i \(0.742832\pi\)
\(770\) −1.75301 + 2.19821i −0.0631742 + 0.0792179i
\(771\) 11.4623 + 5.51996i 0.412805 + 0.198797i
\(772\) −14.3825 + 6.92625i −0.517638 + 0.249281i
\(773\) 13.7071 0.493008 0.246504 0.969142i \(-0.420718\pi\)
0.246504 + 0.969142i \(0.420718\pi\)
\(774\) −25.0146 27.9017i −0.899131 1.00291i
\(775\) 1.39147 0.0499830
\(776\) −0.557500 + 0.268478i −0.0200131 + 0.00963780i
\(777\) 15.0066 + 7.22679i 0.538358 + 0.259259i
\(778\) −13.5701 + 17.0164i −0.486513 + 0.610067i
\(779\) 3.93962 17.2606i 0.141152 0.618425i
\(780\) 7.32122 0.262142
\(781\) −17.1323 −0.613043
\(782\) 8.73254 38.2597i 0.312275 1.36817i
\(783\) −28.0362 35.1562i −1.00193 1.25638i
\(784\) 1.02816 + 4.50468i 0.0367201 + 0.160881i
\(785\) −14.0114 17.5697i −0.500089 0.627091i
\(786\) 19.2155 9.25372i 0.685396 0.330069i
\(787\) −7.64326 + 33.4873i −0.272453 + 1.19369i 0.634655 + 0.772796i \(0.281142\pi\)
−0.907108 + 0.420899i \(0.861715\pi\)
\(788\) 20.9160 10.0726i 0.745101 0.358822i
\(789\) −29.9867 + 37.6021i −1.06755 + 1.33867i
\(790\) 3.19943 + 14.0176i 0.113830 + 0.498724i
\(791\) −6.00725 26.3195i −0.213593 0.935814i
\(792\) −9.38448 4.51933i −0.333463 0.160587i
\(793\) 7.66027 9.60567i 0.272024 0.341107i
\(794\) −16.0442 20.1188i −0.569387 0.713988i
\(795\) 22.9229 + 11.0391i 0.812990 + 0.391516i
\(796\) −13.2062 6.35978i −0.468082 0.225416i
\(797\) −12.6509 15.8637i −0.448116 0.561920i 0.505546 0.862800i \(-0.331291\pi\)
−0.953662 + 0.300880i \(0.902720\pi\)
\(798\) −12.4470 + 15.6081i −0.440620 + 0.552520i
\(799\) 1.10591 + 0.532577i 0.0391242 + 0.0188412i
\(800\) 0.222521 + 0.974928i 0.00786730 + 0.0344689i
\(801\) −2.73386 11.9778i −0.0965963 0.423216i
\(802\) 9.40336 11.7914i 0.332044 0.416370i
\(803\) −10.4431 + 5.02916i −0.368531 + 0.177475i
\(804\) −1.10430 + 4.83826i −0.0389457 + 0.170632i
\(805\) −8.34773 + 4.02006i −0.294219 + 0.141688i
\(806\) 2.15160 + 2.69803i 0.0757870 + 0.0950339i
\(807\) −13.7665 60.3150i −0.484604 2.12319i
\(808\) 12.0108 + 15.0611i 0.422540 + 0.529848i
\(809\) 11.4159 50.0163i 0.401361 1.75848i −0.220534 0.975379i \(-0.570780\pi\)
0.621896 0.783100i \(-0.286363\pi\)
\(810\) −6.51282 −0.228837
\(811\) 20.0513 0.704096 0.352048 0.935982i \(-0.385485\pi\)
0.352048 + 0.935982i \(0.385485\pi\)
\(812\) 1.92607 8.43866i 0.0675918 0.296139i
\(813\) 46.3663 58.1415i 1.62614 2.03911i
\(814\) 6.00665 + 2.89265i 0.210533 + 0.101387i
\(815\) 11.6152 5.59359i 0.406863 0.195935i
\(816\) 19.2875 0.675196
\(817\) −25.1386 + 13.9460i −0.879490 + 0.487908i
\(818\) 7.90399 0.276357
\(819\) −19.6968 + 9.48549i −0.688262 + 0.331450i
\(820\) 3.63849 + 1.75220i 0.127062 + 0.0611896i
\(821\) −10.4935 + 13.1584i −0.366225 + 0.459231i −0.930466 0.366379i \(-0.880597\pi\)
0.564241 + 0.825610i \(0.309169\pi\)
\(822\) −14.7629 + 64.6804i −0.514915 + 2.25599i
\(823\) −42.4879 −1.48104 −0.740518 0.672036i \(-0.765420\pi\)
−0.740518 + 0.672036i \(0.765420\pi\)
\(824\) 11.2193 0.390844
\(825\) −1.19732 + 5.24579i −0.0416852 + 0.182635i
\(826\) −7.70738 9.66474i −0.268174 0.336279i
\(827\) −11.4372 50.1095i −0.397709 1.74248i −0.636379 0.771376i \(-0.719569\pi\)
0.238670 0.971101i \(-0.423288\pi\)
\(828\) −21.4009 26.8359i −0.743734 0.932613i
\(829\) 18.2160 8.77239i 0.632669 0.304678i −0.0899263 0.995948i \(-0.528663\pi\)
0.722596 + 0.691271i \(0.242949\pi\)
\(830\) −3.55769 + 15.5873i −0.123489 + 0.541042i
\(831\) 2.45976 1.18456i 0.0853282 0.0410919i
\(832\) −1.54628 + 1.93898i −0.0536078 + 0.0672220i
\(833\) −6.71759 29.4317i −0.232751 1.01975i
\(834\) 4.89864 + 21.4623i 0.169626 + 0.743180i
\(835\) −13.0052 6.26298i −0.450064 0.216739i
\(836\) −4.98214 + 6.24741i −0.172311 + 0.216071i
\(837\) −6.95235 8.71797i −0.240308 0.301337i
\(838\) −31.2564 15.0523i −1.07974 0.519973i
\(839\) 15.6864 + 7.55418i 0.541555 + 0.260799i 0.684603 0.728917i \(-0.259976\pi\)
−0.143047 + 0.989716i \(0.545690\pi\)
\(840\) −2.83918 3.56023i −0.0979612 0.122839i
\(841\) 1.55013 1.94380i 0.0534526 0.0670274i
\(842\) 0.587994 + 0.283163i 0.0202636 + 0.00975845i
\(843\) −8.43267 36.9459i −0.290436 1.27249i
\(844\) 0.0457727 + 0.200543i 0.00157556 + 0.00690298i
\(845\) −4.27051 + 5.35505i −0.146910 + 0.184219i
\(846\) 0.967282 0.465819i 0.0332559 0.0160152i
\(847\) −2.63540 + 11.5464i −0.0905534 + 0.396741i
\(848\) −7.76507 + 3.73946i −0.266654 + 0.128414i
\(849\) 8.84786 + 11.0949i 0.303658 + 0.380775i
\(850\) −1.45386 6.36977i −0.0498670 0.218481i
\(851\) 13.6979 + 17.1767i 0.469559 + 0.588808i
\(852\) 6.17442 27.0519i 0.211532 0.926783i
\(853\) −44.4187 −1.52087 −0.760434 0.649415i \(-0.775014\pi\)
−0.760434 + 0.649415i \(0.775014\pi\)
\(854\) −7.64179 −0.261497
\(855\) −5.57479 + 24.4247i −0.190654 + 0.835309i
\(856\) −7.97963 + 10.0061i −0.272738 + 0.342003i
\(857\) −10.3721 4.99494i −0.354304 0.170624i 0.248262 0.968693i \(-0.420141\pi\)
−0.602566 + 0.798069i \(0.705855\pi\)
\(858\) −12.0229 + 5.78991i −0.410454 + 0.197664i
\(859\) −15.1777 −0.517856 −0.258928 0.965897i \(-0.583369\pi\)
−0.258928 + 0.965897i \(0.583369\pi\)
\(860\) −1.82537 6.29825i −0.0622447 0.214769i
\(861\) −18.3897 −0.626721
\(862\) 23.4422 11.2892i 0.798444 0.384510i
\(863\) −24.1205 11.6158i −0.821070 0.395406i −0.0243115 0.999704i \(-0.507739\pi\)
−0.796758 + 0.604298i \(0.793454\pi\)
\(864\) 4.99641 6.26530i 0.169981 0.213150i
\(865\) −4.47679 + 19.6141i −0.152215 + 0.666899i
\(866\) −30.2626 −1.02837
\(867\) −75.8314 −2.57537
\(868\) 0.477622 2.09260i 0.0162116 0.0710275i
\(869\) −16.3397 20.4894i −0.554288 0.695055i
\(870\) −3.68599 16.1494i −0.124967 0.547516i
\(871\) 2.59946 + 3.25961i 0.0880792 + 0.110448i
\(872\) −6.37870 + 3.07182i −0.216010 + 0.104025i
\(873\) 0.786850 3.44741i 0.0266308 0.116677i
\(874\) −23.7247 + 11.4252i −0.802498 + 0.386463i
\(875\) −0.961767 + 1.20602i −0.0325137 + 0.0407709i
\(876\) −4.17736 18.3022i −0.141140 0.618374i
\(877\) 10.1164 + 44.3230i 0.341608 + 1.49668i 0.795680 + 0.605717i \(0.207114\pi\)
−0.454072 + 0.890965i \(0.650029\pi\)
\(878\) −3.85201 1.85503i −0.129999 0.0626043i
\(879\) −34.5268 + 43.2952i −1.16456 + 1.46031i
\(880\) −1.13643 1.42504i −0.0383092 0.0480382i
\(881\) −40.4405 19.4751i −1.36248 0.656134i −0.397288 0.917694i \(-0.630049\pi\)
−0.965187 + 0.261560i \(0.915763\pi\)
\(882\) −23.7896 11.4565i −0.801036 0.385759i
\(883\) −6.48385 8.13049i −0.218199 0.273613i 0.660670 0.750677i \(-0.270272\pi\)
−0.878869 + 0.477064i \(0.841701\pi\)
\(884\) 10.1028 12.6685i 0.339793 0.426087i
\(885\) −21.3142 10.2644i −0.716471 0.345034i
\(886\) −7.97401 34.9364i −0.267892 1.17371i
\(887\) 13.0289 + 57.0836i 0.437469 + 1.91668i 0.397817 + 0.917465i \(0.369768\pi\)
0.0396523 + 0.999214i \(0.487375\pi\)
\(888\) −6.73225 + 8.44198i −0.225920 + 0.283294i
\(889\) 13.5540 6.52726i 0.454586 0.218917i
\(890\) 0.478400 2.09601i 0.0160360 0.0702583i
\(891\) 10.6953 5.15060i 0.358307 0.172551i
\(892\) −10.1510 12.7290i −0.339881 0.426197i
\(893\) −0.183274 0.802976i −0.00613303 0.0268706i
\(894\) 2.29554 + 2.87852i 0.0767745 + 0.0962722i
\(895\) −4.54215 + 19.9005i −0.151827 + 0.665199i
\(896\) 1.54255 0.0515331
\(897\) −43.9746 −1.46827
\(898\) −0.718277 + 3.14698i −0.0239692 + 0.105016i
\(899\) 4.86814 6.10445i 0.162361 0.203595i
\(900\) −5.14867 2.47947i −0.171622 0.0826490i
\(901\) 50.7337 24.4321i 1.69019 0.813950i
\(902\) −7.36082 −0.245088
\(903\) 19.9330 + 22.2336i 0.663328 + 0.739887i
\(904\) 17.5011 0.582077
\(905\) 17.1856 8.27615i 0.571268 0.275108i
\(906\) 14.3587 + 6.91479i 0.477036 + 0.229729i
\(907\) 32.8939 41.2477i 1.09222 1.36961i 0.168878 0.985637i \(-0.445986\pi\)
0.923346 0.383969i \(-0.125443\pi\)
\(908\) −2.10293 + 9.21355i −0.0697883 + 0.305763i
\(909\) −110.085 −3.65130
\(910\) −3.82561 −0.126818
\(911\) 1.38791 6.08084i 0.0459836 0.201467i −0.946718 0.322064i \(-0.895624\pi\)
0.992702 + 0.120596i \(0.0384806\pi\)
\(912\) −8.06910 10.1183i −0.267195 0.335051i
\(913\) −6.48459 28.4109i −0.214609 0.940262i
\(914\) −3.28671 4.12140i −0.108715 0.136324i
\(915\) −13.1761 + 6.34529i −0.435589 + 0.209769i
\(916\) 1.09345 4.79073i 0.0361287 0.158290i
\(917\) −10.0408 + 4.83541i −0.331577 + 0.159679i
\(918\) −32.6445 + 40.9349i −1.07743 + 1.35105i
\(919\) −3.67592 16.1053i −0.121258 0.531264i −0.998671 0.0515298i \(-0.983590\pi\)
0.877414 0.479734i \(-0.159267\pi\)
\(920\) −1.33656 5.85586i −0.0440651 0.193062i
\(921\) 54.1315 + 26.0684i 1.78369 + 0.858982i
\(922\) 7.55640 9.47542i 0.248857 0.312056i
\(923\) −14.5342 18.2253i −0.478399 0.599894i
\(924\) 7.47806 + 3.60124i 0.246010 + 0.118472i
\(925\) 3.29547 + 1.58701i 0.108354 + 0.0521807i
\(926\) 10.2142 + 12.8082i 0.335659 + 0.420904i
\(927\) −39.9744 + 50.1264i −1.31293 + 1.64637i
\(928\) 5.05557 + 2.43463i 0.165957 + 0.0799208i
\(929\) −3.29749 14.4472i −0.108187 0.473998i −0.999776 0.0211532i \(-0.993266\pi\)
0.891589 0.452845i \(-0.149591\pi\)
\(930\) −0.914045 4.00469i −0.0299727 0.131319i
\(931\) −12.6297 + 15.8371i −0.413921 + 0.519041i
\(932\) 13.4972 6.49991i 0.442115 0.212911i
\(933\) 5.72085 25.0647i 0.187292 0.820580i
\(934\) −17.6252 + 8.48787i −0.576716 + 0.277732i
\(935\) 7.42498 + 9.31064i 0.242823 + 0.304490i
\(936\) −3.15367 13.8171i −0.103081 0.451627i
\(937\) 19.6101 + 24.5902i 0.640633 + 0.803328i 0.991082 0.133254i \(-0.0425424\pi\)
−0.350449 + 0.936582i \(0.613971\pi\)
\(938\) 0.577038 2.52817i 0.0188410 0.0825477i
\(939\) −10.6099 −0.346240
\(940\) 0.187870 0.00612765
\(941\) 1.26998 5.56413i 0.0414000 0.181385i −0.950000 0.312249i \(-0.898918\pi\)
0.991400 + 0.130863i \(0.0417749\pi\)
\(942\) −41.3624 + 51.8668i −1.34766 + 1.68991i
\(943\) −21.8544 10.5245i −0.711678 0.342726i
\(944\) 7.22015 3.47704i 0.234996 0.113168i
\(945\) 12.3615 0.402118
\(946\) 7.97852 + 8.89938i 0.259404 + 0.289344i
\(947\) −44.0060 −1.43000 −0.715001 0.699123i \(-0.753574\pi\)
−0.715001 + 0.699123i \(0.753574\pi\)
\(948\) 38.2415 18.4161i 1.24203 0.598128i
\(949\) −14.2094 6.84290i −0.461258 0.222130i
\(950\) −2.73339 + 3.42756i −0.0886828 + 0.111205i
\(951\) 2.97451 13.0322i 0.0964552 0.422598i
\(952\) −10.0784 −0.326643
\(953\) 22.7615 0.737317 0.368658 0.929565i \(-0.379817\pi\)
0.368658 + 0.929565i \(0.379817\pi\)
\(954\) 10.9595 48.0168i 0.354828 1.55460i
\(955\) 4.10046 + 5.14181i 0.132688 + 0.166385i
\(956\) −2.11217 9.25403i −0.0683125 0.299297i
\(957\) 18.8247 + 23.6054i 0.608516 + 0.763055i
\(958\) 6.46571 3.11372i 0.208897 0.100600i
\(959\) 7.71415 33.7979i 0.249103 1.09139i
\(960\) 2.65970 1.28085i 0.0858416 0.0413391i
\(961\) −18.1210 + 22.7230i −0.584548 + 0.733000i
\(962\) 2.01855 + 8.84382i 0.0650805 + 0.285136i
\(963\) −16.2746 71.3036i −0.524441 2.29773i
\(964\) 23.8649 + 11.4927i 0.768636 + 0.370156i
\(965\) 9.95301 12.4807i 0.320399 0.401767i
\(966\) 17.0534 + 21.3843i 0.548685 + 0.688029i
\(967\) 40.9742 + 19.7321i 1.31764 + 0.634543i 0.954784 0.297301i \(-0.0960865\pi\)
0.362859 + 0.931844i \(0.381801\pi\)
\(968\) −6.91743 3.33126i −0.222335 0.107071i
\(969\) 52.7201 + 66.1090i 1.69361 + 2.12373i
\(970\) 0.385802 0.483781i 0.0123874 0.0155333i
\(971\) −18.7814 9.04466i −0.602725 0.290257i 0.107530 0.994202i \(-0.465706\pi\)
−0.710254 + 0.703945i \(0.751420\pi\)
\(972\) −1.07137 4.69398i −0.0343642 0.150559i
\(973\) −2.55972 11.2149i −0.0820608 0.359532i
\(974\) 5.76165 7.22488i 0.184615 0.231500i
\(975\) −6.59619 + 3.17656i −0.211247 + 0.101731i
\(976\) 1.10236 4.82978i 0.0352858 0.154597i
\(977\) 25.5654 12.3117i 0.817911 0.393885i 0.0223435 0.999750i \(-0.492887\pi\)
0.795567 + 0.605865i \(0.207173\pi\)
\(978\) −23.7285 29.7546i −0.758754 0.951447i
\(979\) 0.871978 + 3.82039i 0.0278686 + 0.122100i
\(980\) −2.88085 3.61247i −0.0920254 0.115396i
\(981\) 9.00283 39.4440i 0.287438 1.25935i
\(982\) 7.42240 0.236858
\(983\) 16.5618 0.528240 0.264120 0.964490i \(-0.414918\pi\)
0.264120 + 0.964490i \(0.414918\pi\)
\(984\) 2.65281 11.6227i 0.0845684 0.370519i
\(985\) −14.4743 + 18.1502i −0.461190 + 0.578314i
\(986\) −33.0310 15.9069i −1.05192 0.506578i
\(987\) −0.770783 + 0.371189i −0.0245343 + 0.0118151i
\(988\) −10.8726 −0.345902
\(989\) 10.9640 + 37.8302i 0.348635 + 1.20293i
\(990\) 10.4160 0.331042
\(991\) −7.84800 + 3.77940i −0.249300 + 0.120057i −0.554361 0.832276i \(-0.687037\pi\)
0.305061 + 0.952333i \(0.401323\pi\)
\(992\) 1.25367 + 0.603735i 0.0398040 + 0.0191686i
\(993\) 25.1033 31.4785i 0.796629 0.998941i
\(994\) −3.22636 + 14.1356i −0.102334 + 0.448355i
\(995\) 14.6578 0.464683
\(996\) 47.1977 1.49552
\(997\) 0.575904 2.52320i 0.0182391 0.0799105i −0.964989 0.262289i \(-0.915523\pi\)
0.983228 + 0.182379i \(0.0583797\pi\)
\(998\) −9.24122 11.5881i −0.292526 0.366816i
\(999\) −6.52240 28.5765i −0.206360 0.904120i
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 430.2.k.c.41.3 yes 18
43.21 even 7 inner 430.2.k.c.21.3 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.k.c.21.3 18 43.21 even 7 inner
430.2.k.c.41.3 yes 18 1.1 even 1 trivial