LMFDB - Embedded newform 429.2.bj.b.304.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			304.11
Character	$\chi$	$=$	429.304
Dual form			429.2.bj.b.151.11

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.274598 + 1.73374i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.02835 + 0.334131i) q^{4} +(0.369213 - 2.33112i) q^{5} +(-1.73374 - 0.274598i) q^{6} +(3.03757 + 1.54772i) q^{7} +(0.732150 + 1.43692i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(0.274598 + 1.73374i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.02835 + 0.334131i) q^{4} +(0.369213 - 2.33112i) q^{5} +(-1.73374 - 0.274598i) q^{6} +(3.03757 + 1.54772i) q^{7} +(0.732150 + 1.43692i) q^{8} +(-0.809017 - 0.587785i) q^{9} +4.14295 q^{10} +(1.89790 - 2.71992i) q^{11} -1.08127i q^{12} +(3.43042 + 1.11006i) q^{13} +(-1.84924 + 5.69137i) q^{14} +(2.10294 + 1.07150i) q^{15} +(-4.03974 + 2.93504i) q^{16} +(0.415685 - 0.302013i) q^{17} +(0.796914 - 1.56403i) q^{18} +(-6.71970 + 3.42386i) q^{19} +(0.399219 + 2.52057i) q^{20} +(-2.41063 + 2.41063i) q^{21} +(5.23681 + 2.54358i) q^{22} -1.35529i q^{23} +(-1.59284 + 0.252282i) q^{24} +(-0.542528 - 0.176278i) q^{25} +(-0.982575 + 6.25228i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-3.64082 - 0.576650i) q^{28} +(2.92428 - 0.950156i) q^{29} +(-1.28024 + 3.94018i) q^{30} +(-8.49595 + 1.34563i) q^{31} +(-3.91722 - 3.91722i) q^{32} +(2.00032 + 2.64551i) q^{33} +(0.637759 + 0.637759i) q^{34} +(4.72944 - 6.50951i) q^{35} +(1.02835 + 0.334131i) q^{36} +(0.470491 - 0.923390i) q^{37} +(-7.78130 - 10.7100i) q^{38} +(-2.11579 + 2.91949i) q^{39} +(3.61997 - 1.17620i) q^{40} +(6.36200 - 3.24160i) q^{41} +(-4.84137 - 3.51746i) q^{42} -3.09259 q^{43} +(-1.04289 + 3.43117i) q^{44} +(-1.66890 + 1.66890i) q^{45} +(2.34973 - 0.372161i) q^{46} +(-0.800338 + 0.407792i) q^{47} +(-1.54304 - 4.74900i) q^{48} +(2.71691 + 3.73951i) q^{49} +(0.156644 - 0.989010i) q^{50} +(0.158778 + 0.488667i) q^{51} +(-3.89857 + 0.00467826i) q^{52} +(-10.0763 - 7.32088i) q^{53} +(1.24122 + 1.24122i) q^{54} +(-5.63975 - 5.42846i) q^{55} +5.49793i q^{56} +(-1.17978 - 7.44884i) q^{57} +(2.45033 + 4.80904i) q^{58} +(-4.30039 + 8.44000i) q^{59} +(-2.52057 - 0.399219i) q^{60} +(5.16051 + 7.10284i) q^{61} +(-4.66594 - 14.3603i) q^{62} +(-1.54772 - 3.03757i) q^{63} +(-0.154300 + 0.212375i) q^{64} +(3.85424 - 7.58687i) q^{65} +(-4.03735 + 4.19449i) q^{66} +(3.67066 - 3.67066i) q^{67} +(-0.326557 + 0.449468i) q^{68} +(1.28896 + 0.418809i) q^{69} +(12.5845 + 6.41213i) q^{70} +(1.62743 - 10.2752i) q^{71} +(0.252282 - 1.59284i) q^{72} +(1.03794 + 0.528858i) q^{73} +(1.73012 + 0.562149i) q^{74} +(0.335301 - 0.461502i) q^{75} +(5.76617 - 5.76617i) q^{76} +(9.97468 - 5.32456i) q^{77} +(-5.64264 - 2.86655i) q^{78} +(2.38772 - 3.28642i) q^{79} +(5.35042 + 10.5008i) q^{80} +(0.309017 + 0.951057i) q^{81} +(7.36710 + 10.1399i) q^{82} +(0.473586 + 0.0750086i) q^{83} +(1.67350 - 3.28443i) q^{84} +(-0.550552 - 1.08052i) q^{85} +(-0.849218 - 5.36175i) q^{86} +3.07477i q^{87} +(5.29787 + 0.735742i) q^{88} +(-1.09779 - 1.09779i) q^{89} +(-3.35172 - 2.43517i) q^{90} +(8.70208 + 8.68122i) q^{91} +(0.452845 + 1.39371i) q^{92} +(1.34563 - 8.49595i) q^{93} +(-0.926778 - 1.27560i) q^{94} +(5.50043 + 16.9286i) q^{95} +(4.93598 - 2.51501i) q^{96} +(17.8474 - 2.82674i) q^{97} +(-5.73729 + 5.73729i) q^{98} +(-3.13416 + 1.08491i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.274598	+	1.73374i	0.194170	+	1.22594i	0.871549	+	0.490308i	$0.163116\pi$
$2$	0.274598	+	1.73374i	0.194170	+	1.22594i	−0.677379	+	0.735634i	$0.736884\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	−1.02835	+	0.334131i	−0.514174	+	0.167065i
$5$	0.369213	−	2.33112i	0.165117	−	1.04251i	−0.756382	−	0.654130i	$-0.773035\pi$
$5$	0.369213	−	2.33112i	0.165117	−	1.04251i	0.921500	−	0.388380i	$-0.126965\pi$
$6$	−1.73374	−	0.274598i	−0.707798	−	0.112104i
$7$	3.03757	+	1.54772i	1.14809	+	0.584983i	0.921259	−	0.388950i	$-0.127162\pi$
$7$	3.03757	+	1.54772i	1.14809	+	0.584983i	0.226836	+	0.973933i	$0.427162\pi$
$8$	0.732150	+	1.43692i	0.258854	+	0.508030i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	4.14295			1.31012
$11$	1.89790	−	2.71992i	0.572237	−	0.820088i
$11$	1.89790	−	2.71992i	0.572237	−	0.820088i
$12$		−	1.08127i		−	0.312135i
$13$	3.43042	+	1.11006i	0.951427	+	0.307876i
$13$	3.43042	+	1.11006i	0.951427	+	0.307876i
$14$	−1.84924	+	5.69137i	−0.494230	+	1.52108i
$15$	2.10294	+	1.07150i	0.542976	+	0.276660i
$16$	−4.03974	+	2.93504i	−1.00994	+	0.733761i
$17$	0.415685	−	0.302013i	0.100818	−	0.0732489i	−0.536234	−	0.844069i	$-0.680153\pi$
$17$	0.415685	−	0.302013i	0.100818	−	0.0732489i	0.637052	+	0.770821i	$0.280153\pi$
$18$	0.796914	−	1.56403i	0.187834	−	0.368646i
$19$	−6.71970	+	3.42386i	−1.54160	+	0.785487i	−0.998530	−	0.0541981i	$-0.982740\pi$
$19$	−6.71970	+	3.42386i	−1.54160	+	0.785487i	−0.543074	+	0.839685i	$0.682740\pi$
$20$	0.399219	+	2.52057i	0.0892681	+	0.563617i
$21$	−2.41063	+	2.41063i	−0.526043	+	0.526043i
$22$	5.23681	+	2.54358i	1.11649	+	0.542293i
$23$		−	1.35529i		−	0.282598i	−0.989967	−	0.141299i	$-0.954872\pi$
$23$		−	1.35529i		−	0.282598i	0.989967	−	0.141299i	$-0.0451280\pi$
$24$	−1.59284	+	0.252282i	−0.325138	+	0.0514968i
$25$	−0.542528	−	0.176278i	−0.108506	−	0.0352556i
$26$	−0.982575	+	6.25228i	−0.192699	+	1.22617i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	−3.64082	−	0.576650i	−0.688051	−	0.108977i
$29$	2.92428	−	0.950156i	0.543025	−	0.176440i	−0.0246440	−	0.999696i	$-0.507845\pi$
$29$	2.92428	−	0.950156i	0.543025	−	0.176440i	0.567669	+	0.823257i	$0.307845\pi$
$30$	−1.28024	+	3.94018i	−0.233739	+	0.719375i
$31$	−8.49595	+	1.34563i	−1.52592	+	0.241682i	−0.862303	−	0.506393i	$-0.830979\pi$
$31$	−8.49595	+	1.34563i	−1.52592	+	0.241682i	−0.663615	+	0.748074i	$0.730979\pi$
$32$	−3.91722	−	3.91722i	−0.692473	−	0.692473i
$33$	2.00032	+	2.64551i	0.348211	+	0.460524i
$34$	0.637759	+	0.637759i	0.109375	+	0.109375i
$35$	4.72944	−	6.50951i	0.799421	−	1.10031i
$36$	1.02835	+	0.334131i	0.171391	+	0.0556884i
$37$	0.470491	−	0.923390i	0.0773482	−	0.151804i	−0.849094	−	0.528242i	$-0.822851\pi$
$37$	0.470491	−	0.923390i	0.0773482	−	0.151804i	0.926442	+	0.376438i	$0.122851\pi$
$38$	−7.78130	−	10.7100i	−1.26229	−	1.73740i
$39$	−2.11579	+	2.91949i	−0.338797	+	0.467493i
$40$	3.61997	−	1.17620i	0.572367	−	0.185973i
$41$	6.36200	−	3.24160i	0.993578	−	0.506253i	0.119915	−	0.992784i	$-0.461738\pi$
$41$	6.36200	−	3.24160i	0.993578	−	0.506253i	0.873663	+	0.486531i	$0.161738\pi$
$42$	−4.84137	−	3.51746i	−0.747040	−	0.542756i
$43$	−3.09259			−0.471615			−0.235808	−	0.971800i	$-0.575774\pi$
$43$	−3.09259			−0.471615			−0.235808	+	0.971800i	$0.575774\pi$
$44$	−1.04289	+	3.43117i	−0.157221	+	0.517269i
$45$	−1.66890	+	1.66890i	−0.248785	+	0.248785i
$46$	2.34973	−	0.372161i	0.346449	−	0.0548722i
$47$	−0.800338	+	0.407792i	−0.116741	+	0.0594826i	−0.511386	−	0.859351i	$-0.670868\pi$
$47$	−0.800338	+	0.407792i	−0.116741	+	0.0594826i	0.394645	+	0.918834i	$0.370868\pi$
$48$	−1.54304	−	4.74900i	−0.222719	−	0.685459i
$49$	2.71691	+	3.73951i	0.388131	+	0.534216i
$50$	0.156644	−	0.989010i	0.0221528	−	0.139867i
$51$	0.158778	+	0.488667i	0.0222333	+	0.0684271i
$52$	−3.89857	+	0.00467826i	−0.540634	+	0.000648758i
$53$	−10.0763	−	7.32088i	−1.38409	−	1.00560i	−0.996485	−	0.0837740i	$-0.973303\pi$
$53$	−10.0763	−	7.32088i	−1.38409	−	1.00560i	−0.387605	−	0.921826i	$-0.626697\pi$
$54$	1.24122	+	1.24122i	0.168909	+	0.168909i
$55$	−5.63975	−	5.42846i	−0.760463	−	0.731973i
$56$			5.49793i			0.734691i
$57$	−1.17978	−	7.44884i	−0.156266	−	0.986623i
$58$	2.45033	+	4.80904i	0.321744	+	0.631458i
$59$	−4.30039	+	8.44000i	−0.559863	+	1.09879i	0.421535	+	0.906812i	$0.361491\pi$
$59$	−4.30039	+	8.44000i	−0.559863	+	1.09879i	−0.981398	+	0.191982i	$0.938509\pi$
$60$	−2.52057	−	0.399219i	−0.325404	−	0.0515390i
$61$	5.16051	+	7.10284i	0.660736	+	0.909425i	0.999506	−	0.0314443i	$-0.0100107\pi$
$61$	5.16051	+	7.10284i	0.660736	+	0.909425i	−0.338770	+	0.940869i	$0.610011\pi$
$62$	−4.66594	−	14.3603i	−0.592575	−	1.82376i
$63$	−1.54772	−	3.03757i	−0.194994	−	0.382698i
$64$	−0.154300	+	0.212375i	−0.0192875	+	0.0265469i
$65$	3.85424	−	7.58687i	0.478060	−	0.941036i
$66$	−4.03735	+	4.19449i	−0.496963	+	0.516306i
$67$	3.67066	−	3.67066i	0.448442	−	0.448442i	−0.446394	−	0.894836i	$-0.647292\pi$
$67$	3.67066	−	3.67066i	0.448442	−	0.448442i	0.894836	+	0.446394i	$0.147292\pi$
$68$	−0.326557	+	0.449468i	−0.0396009	+	0.0545059i
$69$	1.28896	+	0.418809i	0.155173	+	0.0504187i
$70$	12.5845	+	6.41213i	1.50414	+	0.766396i
$71$	1.62743	−	10.2752i	0.193141	−	1.21944i	−0.680455	−	0.732790i	$-0.738218\pi$
$71$	1.62743	−	10.2752i	0.193141	−	1.21944i	0.873595	−	0.486653i	$-0.161782\pi$
$72$	0.252282	−	1.59284i	0.0297317	−	0.187718i
$73$	1.03794	+	0.528858i	0.121482	+	0.0618982i	0.513675	−	0.857985i	$-0.328284\pi$
$73$	1.03794	+	0.528858i	0.121482	+	0.0618982i	−0.392193	+	0.919883i	$0.628284\pi$
$74$	1.73012	+	0.562149i	0.201122	+	0.0653485i
$75$	0.335301	−	0.461502i	0.0387172	−	0.0532897i
$76$	5.76617	−	5.76617i	0.661425	−	0.661425i
$77$	9.97468	−	5.32456i	1.13672	−	0.606789i
$78$	−5.64264	−	2.86655i	−0.638903	−	0.324572i
$79$	2.38772	−	3.28642i	0.268640	−	0.369751i	−0.653290	−	0.757108i	$-0.726612\pi$
$79$	2.38772	−	3.28642i	0.268640	−	0.369751i	0.921930	+	0.387357i	$0.126612\pi$
$80$	5.35042	+	10.5008i	0.598195	+	1.17402i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	7.36710	+	10.1399i	0.813560	+	1.11977i
$83$	0.473586	+	0.0750086i	0.0519828	+	0.00823327i	0.182372	−	0.983230i	$-0.441623\pi$
$83$	0.473586	+	0.0750086i	0.0519828	+	0.00823327i	−0.130389	+	0.991463i	$0.541623\pi$
$84$	1.67350	−	3.28443i	0.182594	−	0.358361i
$85$	−0.550552	−	1.08052i	−0.0597158	−	0.117199i
$86$	−0.849218	−	5.36175i	−0.0915736	−	0.578173i
$87$			3.07477i			0.329650i
$88$	5.29787	+	0.735742i	0.564755	+	0.0784304i
$89$	−1.09779	−	1.09779i	−0.116365	−	0.116365i	0.646526	−	0.762892i	$-0.276221\pi$
$89$	−1.09779	−	1.09779i	−0.116365	−	0.116365i	−0.762892	+	0.646526i	$0.776221\pi$
$90$	−3.35172	−	2.43517i	−0.353302	−	0.256689i
$91$	8.70208	+	8.68122i	0.912226	+	0.910039i
$92$	0.452845	+	1.39371i	0.0472124	+	0.145305i
$93$	1.34563	−	8.49595i	0.139535	−	0.880989i
$94$	−0.926778	−	1.27560i	−0.0955899	−	0.131568i
$95$	5.50043	+	16.9286i	0.564332	+	1.73683i
$96$	4.93598	−	2.51501i	0.503777	−	0.256687i
$97$	17.8474	−	2.82674i	1.81213	−	0.287012i	0.843791	−	0.536671i	$-0.180318\pi$
$97$	17.8474	−	2.82674i	1.81213	−	0.287012i	0.968334	+	0.249659i	$0.0803185\pi$
$98$	−5.73729	+	5.73729i	−0.579554	+	0.579554i
$99$	−3.13416	+	1.08491i	−0.314995	+	0.109038i
$100$	0.616808			0.0616808
$101$	−1.95714	−	1.42195i	−0.194743	−	0.141489i	0.486141	−	0.873880i	$-0.338404\pi$
$101$	−1.95714	−	1.42195i	−0.194743	−	0.141489i	−0.680884	+	0.732391i	$0.738404\pi$
$102$	−0.803623	+	0.409467i	−0.0795706	+	0.0405432i
$103$	5.73511	−	1.86345i	0.565097	−	0.183611i	−0.0125163	−	0.999922i	$-0.503984\pi$
$103$	5.73511	−	1.86345i	0.565097	−	0.183611i	0.577613	+	0.816311i	$0.303984\pi$
$104$	0.916505	+	5.74198i	0.0898707	+	0.563048i
$105$	4.72944	+	6.50951i	0.461546	+	0.635263i
$106$	9.92558	−	19.4801i	0.964058	−	1.89207i
$107$	−15.4185	−	5.00977i	−1.49056	−	0.484312i	−0.553312	−	0.832974i	$-0.686636\pi$
$107$	−15.4185	−	5.00977i	−1.49056	−	0.484312i	−0.937249	+	0.348662i	$0.886636\pi$
$108$	−0.635554	+	0.874765i	−0.0611562	+	0.0841743i
$109$	−11.6198	−	11.6198i	−1.11298	−	1.11298i	−0.992746	−	0.120230i	$-0.961637\pi$
$109$	−11.6198	−	11.6198i	−1.11298	−	1.11298i	−0.120230	−	0.992746i	$-0.538363\pi$
$110$	7.86289	−	11.2685i	0.749697	−	1.07441i
$111$	0.732806	+	0.732806i	0.0695549	+	0.0695549i
$112$	−16.8136	+	2.66302i	−1.58874	+	0.251632i
$113$	−4.35852	+	13.4141i	−0.410015	+	1.26190i	0.506620	+	0.862170i	$0.330895\pi$
$113$	−4.35852	+	13.4141i	−0.410015	+	1.26190i	−0.916635	+	0.399726i	$0.869105\pi$
$114$	12.5904	−	4.09087i	1.17920	−	0.383145i
$115$	−3.15936	−	0.500393i	−0.294612	−	0.0466619i
$116$	−2.68970	+	1.95418i	−0.249733	+	0.181441i
$117$	−2.12279	−	2.91441i	−0.196252	−	0.269437i
$118$	−15.8137	−	5.13817i	−1.45577	−	0.473007i
$119$	1.73011	−	0.274022i	0.158599	−	0.0251195i
$120$			3.80626i			0.347462i
$121$	−3.79598	−	10.3243i	−0.345089	−	0.938570i
$122$	−10.8974	+	10.8974i	−0.986607	+	0.986607i
$123$	1.11698	+	7.05234i	0.100715	+	0.635888i
$124$	8.28718	−	4.22253i	0.744211	−	0.379194i
$125$	4.74626	−	9.31506i	0.424519	−	0.833164i
$126$	4.84137	−	3.51746i	0.431304	−	0.313360i
$127$	−12.8090	+	9.30630i	−1.13662	+	0.825800i	−0.986644	−	0.162890i	$-0.947919\pi$
$127$	−12.8090	+	9.30630i	−1.13662	+	0.825800i	−0.149972	+	0.988690i	$0.547919\pi$
$128$	−10.2825	−	5.23921i	−0.908857	−	0.463086i
$129$	0.955662	−	2.94123i	0.0841414	−	0.258961i
$130$	14.2121	+	4.59893i	1.24648	+	0.403353i
$131$		−	0.328189i		−	0.0286740i	−0.999897	−	0.0143370i	$-0.995436\pi$
$131$		−	0.328189i		−	0.0286740i	0.999897	−	0.0143370i	$-0.00456376\pi$
$132$	−2.94097	−	2.05214i	−0.255979	−	0.178616i
$133$	−25.7107			−2.22940
$134$	7.37193	+	5.35602i	0.636838	+	0.462690i
$135$	−1.07150	−	2.10294i	−0.0922200	−	0.180992i
$136$	0.738314	+	0.376190i	0.0633099	+	0.0322580i
$137$	2.52142	+	0.399354i	0.215420	+	0.0341191i	0.263211	−	0.964738i	$-0.415218\pi$
$137$	2.52142	+	0.399354i	0.215420	+	0.0341191i	−0.0477917	+	0.998857i	$0.515218\pi$
$138$	−0.372161	+	2.34973i	−0.0316805	+	0.200023i
$139$	10.6124	−	3.44816i	0.900128	−	0.292469i	0.177838	−	0.984060i	$-0.443090\pi$
$139$	10.6124	−	3.44816i	0.900128	−	0.292469i	0.722290	+	0.691590i	$0.243090\pi$
$140$	−2.68848	+	8.27430i	−0.227218	+	0.699306i
$141$	−0.140516	−	0.887181i	−0.0118336	−	0.0747141i
$142$	18.2615			1.53247
$143$	9.52986	−	7.22370i	0.796927	−	0.604076i
$144$	4.99340			0.416116
$145$	−1.13525	−	7.16767i	−0.0942771	−	0.595242i
$146$	−0.631887	+	1.94475i	−0.0522954	+	0.160949i
$147$	−4.39606	+	1.42837i	−0.362581	+	0.117810i
$148$	−0.175295	+	1.10677i	−0.0144092	+	0.0909760i
$149$	−6.94493	−	1.09997i	−0.568951	−	0.0901129i	−0.134670	−	0.990891i	$-0.542997\pi$
$149$	−6.94493	−	1.09997i	−0.568951	−	0.0901129i	−0.434281	+	0.900778i	$0.642997\pi$
$150$	0.892199	+	0.454598i	0.0728477	+	0.0371178i
$151$	−5.61909	−	11.0281i	−0.457275	−	0.897453i	−0.998402	−	0.0565122i	$-0.982002\pi$
$151$	−5.61909	−	11.0281i	−0.457275	−	0.897453i	0.541127	−	0.840941i	$-0.317998\pi$
$152$	−9.83965	−	7.14892i	−0.798101	−	0.579854i
$153$	−0.513815			−0.0415395
$154$	11.9704	+	15.8314i	0.964605	+	1.27573i
$155$			20.3019i			1.63069i
$156$	1.20027	−	3.70920i	0.0960989	−	0.296974i
$157$	2.67822	−	8.24271i	0.213745	−	0.657840i	−0.785495	−	0.618868i	$-0.787592\pi$
$157$	2.67822	−	8.24271i	0.213745	−	0.657840i	0.999240	−	0.0389722i	$-0.0124084\pi$
$158$	6.35347	+	3.23725i	0.505455	+	0.257542i
$159$	10.0763	−	7.32088i	0.799104	−	0.580583i
$160$	−10.5778	+	7.68522i	−0.836249	+	0.607570i
$161$	2.09762	−	4.11681i	0.165315	−	0.324450i
$162$	−1.56403	+	0.796914i	−0.122882	+	0.0626115i
$163$	1.39086	+	8.78155i	0.108941	+	0.687824i	0.980350	+	0.197267i	$0.0632066\pi$
$163$	1.39086	+	8.78155i	0.108941	+	0.687824i	−0.871409	+	0.490557i	$0.836793\pi$
$164$	−5.45924	+	5.45924i	−0.426295	+	0.426295i
$165$	6.90555	−	3.68623i	0.537596	−	0.286973i
$166$			0.841674i			0.0653265i
$167$	6.45446	−	1.02229i	0.499461	−	0.0791069i	0.0983791	−	0.995149i	$-0.468634\pi$
$167$	6.45446	−	1.02229i	0.499461	−	0.0791069i	0.401082	+	0.916042i	$0.368634\pi$
$168$	−5.22884	−	1.69895i	−0.403414	−	0.131077i
$169$	10.5355	+	7.61595i	0.810425	+	0.585842i
$170$	1.72216	−	1.25123i	0.132084	−	0.0959646i
$171$	7.44884	+	1.17978i	0.569627	+	0.0902201i
$172$	3.18026	−	1.03333i	0.242492	−	0.0787905i
$173$	−1.67532	+	5.15609i	−0.127372	+	0.392010i	−0.994326	−	0.106378i	$-0.966075\pi$
$173$	−1.67532	+	5.15609i	−0.127372	+	0.392010i	0.866954	+	0.498388i	$0.166075\pi$
$174$	−5.33086	+	0.844326i	−0.404132	+	0.0640082i
$175$	−1.37514	−	1.37514i	−0.103951	−	0.103951i
$176$	0.316088	+	16.5582i	0.0238260	+	1.24812i
$177$	−6.69802	−	6.69802i	−0.503454	−	0.503454i
$178$	1.60183	−	2.20473i	0.120062	−	0.165251i
$179$	−16.6085	−	5.39642i	−1.24138	−	0.403347i	−0.386553	−	0.922267i	$-0.626334\pi$
$179$	−16.6085	−	5.39642i	−1.24138	−	0.403347i	−0.854823	+	0.518920i	$0.826334\pi$
$180$	1.15858	−	2.27384i	0.0863554	−	0.169482i
$181$	−12.6375	−	17.3941i	−0.939340	−	1.29289i	−0.956103	−	0.293031i	$-0.905336\pi$
$181$	−12.6375	−	17.3941i	−0.939340	−	1.29289i	0.0167627	−	0.999859i	$-0.494664\pi$
$182$	−12.6614	+	17.4710i	−0.938528	+	1.29504i
$183$	−8.34989	+	2.71304i	−0.617241	+	0.200554i
$184$	1.94746	−	0.992279i	0.143568	−	0.0731518i
$185$	−1.97882	−	1.43770i	−0.145486	−	0.105702i
$186$	15.0993			1.10713
$187$	−0.0325251	−	1.70382i	−0.00237847	−	0.124596i
$188$	0.686770	−	0.686770i	0.0500878	−	0.0500878i
$189$	3.36718	−	0.533308i	0.244926	−	0.0387925i
$190$	−27.8394	+	14.1849i	−2.01968	+	1.02908i
$191$	−5.31203	−	16.3487i	−0.384365	−	1.18295i	−0.936940	−	0.349490i	$-0.886355\pi$
$191$	−5.31203	−	16.3487i	−0.384365	−	1.18295i	0.552575	−	0.833463i	$-0.313645\pi$
$192$	−0.154300	−	0.212375i	−0.0111356	−	0.0153269i
$193$	3.18689	−	20.1212i	0.229398	−	1.44836i	−0.556935	−	0.830556i	$-0.688023\pi$
$193$	3.18689	−	20.1212i	0.229398	−	1.44836i	0.786333	−	0.617803i	$-0.211977\pi$
$194$	9.80170	+	30.1665i	0.703721	+	2.16583i
$195$	6.02452	+	6.01008i	0.431425	+	0.430390i
$196$	−4.04342	−	2.93771i	−0.288816	−	0.209837i
$197$	−8.23574	−	8.23574i	−0.586772	−	0.586772i	0.349984	−	0.936756i	$-0.386187\pi$
$197$	−8.23574	−	8.23574i	−0.586772	−	0.586772i	−0.936756	+	0.349984i	$0.886187\pi$
$198$	−2.74159	−	5.13592i	−0.194836	−	0.364994i
$199$			27.7848i			1.96961i	0.173656	+	0.984806i	$0.444442\pi$
$199$			27.7848i			1.96961i	−0.173656	+	0.984806i	$0.555558\pi$
$200$	−0.143913	−	0.908634i	−0.0101762	−	0.0642501i
$201$	2.35671	+	4.62530i	0.166229	+	0.326243i
$202$	1.92786	−	3.78364i	0.135644	−	0.266216i
$203$	10.3533	+	1.63980i	0.726659	+	0.115091i
$204$	−0.326557	−	0.449468i	−0.0228636	−	0.0314690i
$205$	−5.20763	−	16.0275i	−0.363717	−	1.11941i
$206$	4.80559	+	9.43150i	0.334821	+	0.657124i
$207$	−0.796622	+	1.09646i	−0.0553691	+	0.0762090i
$208$	−17.1161	+	5.58407i	−1.18679	+	0.387185i
$209$	−3.44066	+	24.7752i	−0.237995	+	1.71374i
$210$	−9.98713	+	9.98713i	−0.689177	+	0.689177i
$211$	−2.15665	+	2.96837i	−0.148470	+	0.204351i	−0.876774	−	0.480903i	$-0.840309\pi$
$211$	−2.15665	+	2.96837i	−0.148470	+	0.204351i	0.728304	+	0.685254i	$0.240309\pi$
$212$	12.8081	+	4.16160i	0.879664	+	0.285820i
$213$	9.26940	+	4.72299i	0.635129	+	0.323614i
$214$	4.45177	−	28.1073i	0.304316	−	1.92138i
$215$	−1.14183	+	7.20920i	−0.0778718	+	0.491663i
$216$	1.43692	+	0.732150i	0.0977703	+	0.0498165i
$217$	−27.8897	−	9.06192i	−1.89328	−	0.615163i
$218$	16.9550	−	23.3365i	1.14834	−	1.58055i
$219$	−0.823716	+	0.823716i	−0.0556616	+	0.0556616i
$220$	7.61344	+	3.69793i	0.513298	+	0.249315i
$221$	1.76123	−	0.574595i	0.118473	−	0.0386514i
$222$	−1.06927	+	1.47172i	−0.0717647	+	0.0987757i
$223$	5.38533	+	10.5693i	0.360629	+	0.707773i	0.998029	−	0.0627597i	$-0.0199902\pi$
$223$	5.38533	+	10.5693i	0.360629	+	0.707773i	−0.637400	+	0.770533i	$0.719990\pi$
$224$	−5.83608	−	17.9616i	−0.389939	−	1.20011i
$225$	0.335301	+	0.461502i	0.0223534	+	0.0307668i
$226$	−24.4535	−	3.87305i	−1.62662	−	0.257632i
$227$	1.33625	−	2.62255i	0.0886903	−	0.174064i	−0.842401	−	0.538852i	$-0.818858\pi$
$227$	1.33625	−	2.62255i	0.0886903	−	0.174064i	0.931091	+	0.364787i	$0.118858\pi$
$228$	3.70211	+	7.26580i	0.245178	+	0.481189i
$229$	3.39534	+	21.4373i	0.224370	+	1.41662i	0.800535	+	0.599285i	$0.204549\pi$
$229$	3.39534	+	21.4373i	0.224370	+	1.41662i	−0.576165	+	0.817333i	$0.695451\pi$
$230$		−	5.61492i		−	0.370237i
$231$	1.98161	+	11.1319i	0.130380	+	0.732423i
$232$	3.50631	+	3.50631i	0.230201	+	0.230201i
$233$	5.18080	+	3.76407i	0.339406	+	0.246593i	0.744411	−	0.667722i	$-0.232730\pi$
$233$	5.18080	+	3.76407i	0.339406	+	0.246593i	−0.405005	+	0.914314i	$0.632730\pi$
$234$	4.46992	−	4.48066i	0.292208	−	0.292910i
$235$	0.655118	+	2.01625i	0.0427352	+	0.131525i
$236$	1.60224	−	10.1161i	0.104297	−	0.658505i
$237$	2.38772	+	3.28642i	0.155099	+	0.213476i
$238$	0.950167	+	2.92431i	0.0615902	+	0.189555i
$239$	15.2825	−	7.78683i	0.988544	−	0.503688i	0.116539	−	0.993186i	$-0.462820\pi$
$239$	15.2825	−	7.78683i	0.988544	−	0.503688i	0.872004	+	0.489498i	$0.162820\pi$
$240$	−11.6402	+	1.84363i	−0.751373	+	0.119006i
$241$	−4.65239	+	4.65239i	−0.299687	+	0.299687i	−0.840891	−	0.541204i	$-0.817969\pi$
$241$	−4.65239	+	4.65239i	−0.299687	+	0.299687i	0.541204	+	0.840891i	$0.317969\pi$
$242$	16.8573	−	9.41628i	1.08363	−	0.605301i
$243$	−1.00000			−0.0641500
$244$	−7.68008	−	5.57990i	−0.491667	−	0.357217i
$245$	9.72038	−	4.95278i	0.621012	−	0.316421i
$246$	−11.9202	+	3.87311i	−0.760005	+	0.246941i
$247$	−26.8521	+	4.28599i	−1.70856	+	0.272711i
$248$	−8.15387	−	11.2228i	−0.517771	−	0.712651i
$249$	−0.217684	+	0.427228i	−0.0137951	+	0.0270745i
$250$	17.4532	+	5.67090i	1.10384	+	0.358659i
$251$	−5.88646	+	8.10202i	−0.371550	+	0.511395i	−0.953321	−	0.301958i	$-0.902360\pi$
$251$	−5.88646	+	8.10202i	−0.371550	+	0.511395i	0.581771	+	0.813352i	$0.302360\pi$
$252$	2.60654	+	2.60654i	0.164197	+	0.164197i
$253$	−3.68630	−	2.57221i	−0.231756	−	0.161713i
$254$	−19.6521	−	19.6521i	−1.23308	−	1.23308i
$255$	1.19777	−	0.189707i	0.0750070	−	0.0118799i
$256$	6.09765	−	18.7666i	0.381103	−	1.17291i
$257$	−18.7394	+	6.08878i	−1.16893	+	0.379808i	−0.828243	−	0.560369i	$-0.810659\pi$
$257$	−18.7394	+	6.08878i	−1.16893	+	0.379808i	−0.340686	+	0.940177i	$0.610659\pi$
$258$	5.36175	+	0.849218i	0.333808	+	0.0528700i
$259$	2.85830	−	2.07668i	0.177606	−	0.129038i
$260$	−1.42850	+	9.08977i	−0.0885917	+	0.563723i
$261$	−2.92428	−	0.950156i	−0.181008	−	0.0588132i
$262$	0.568995	−	0.0901199i	0.0351526	−	0.00556763i
$263$			31.6743i			1.95312i	0.215250	+	0.976559i	$0.430943\pi$
$263$			31.6743i			1.95312i	−0.215250	+	0.976559i	$0.569057\pi$
$264$	−2.33686	+	4.81122i	−0.143824	+	0.296110i
$265$	−20.7862	+	20.7862i	−1.27688	+	1.27688i
$266$	−7.06012	−	44.5758i	−0.432884	−	2.73312i
$267$	1.38329	−	0.704822i	0.0846561	−	0.0431344i
$268$	−2.54823	+	5.00119i	−0.155658	+	0.305496i
$269$	−8.82000	+	6.40811i	−0.537765	+	0.390709i	−0.823254	−	0.567673i	$-0.807844\pi$
$269$	−8.82000	+	6.40811i	−0.537765	+	0.390709i	0.285489	+	0.958382i	$0.407844\pi$
$270$	3.35172	−	2.43517i	0.203979	−	0.148199i
$271$	5.50739	+	2.80616i	0.334550	+	0.170462i	0.613193	−	0.789933i	$-0.289885\pi$
$271$	5.50739	+	2.80616i	0.334550	+	0.170462i	−0.278643	+	0.960395i	$0.589885\pi$
$272$	−0.792839	+	2.44011i	−0.0480729	+	0.147953i
$273$	−10.9454	+	5.59353i	−0.662447	+	0.338536i
$274$			4.48116i			0.270717i
$275$	−1.50913	+	1.14108i	−0.0910037	+	0.0688096i
$276$	−1.46544			−0.0882090
$277$	15.1334	+	10.9950i	0.909277	+	0.660628i	0.940832	−	0.338874i	$-0.110046\pi$
$277$	15.1334	+	10.9950i	0.909277	+	0.660628i	−0.0315548	+	0.999502i	$0.510046\pi$
$278$	8.89236	+	17.4522i	0.533328	+	1.04672i
$279$	7.66431	+	3.90516i	0.458850	+	0.233796i
$280$	12.8163	+	2.02991i	0.765923	+	0.121310i
$281$	1.46765	−	9.26637i	0.0875526	−	0.552785i	−0.904451	−	0.426577i	$-0.859719\pi$
$281$	1.46765	−	9.26637i	0.0875526	−	0.552785i	0.992004	−	0.126208i	$-0.0402807\pi$
$282$	1.49956	−	0.487236i	0.0892974	−	0.0290145i
$283$	−3.72938	+	11.4778i	−0.221688	+	0.682287i	0.776923	+	0.629596i	$0.216780\pi$
$283$	−3.72938	+	11.4778i	−0.221688	+	0.682287i	−0.998611	+	0.0526904i	$0.983220\pi$
$284$	1.75969	+	11.1103i	0.104419	+	0.659273i
$285$	−17.7997			−1.05437
$286$	15.1409	+	14.5387i	0.895301	+	0.859692i
$287$	24.3422			1.43687
$288$	0.866613	+	5.47158i	0.0510656	+	0.322416i
$289$	−5.17171	+	15.9169i	−0.304218	+	0.936287i
$290$	12.1152	−	3.93645i	0.711426	−	0.231156i
$291$	−2.82674	+	17.8474i	−0.165707	+	1.04623i
$292$	−1.24407	−	0.197042i	−0.0728039	−	0.0115310i
$293$	−25.0680	−	12.7728i	−1.46449	−	0.746195i	−0.473584	−	0.880749i	$-0.657040\pi$
$293$	−25.0680	−	12.7728i	−1.46449	−	0.746195i	−0.990906	+	0.134554i	$0.957040\pi$
$294$	−3.68357	−	7.22941i	−0.214830	−	0.421628i
$295$	18.0869	+	13.1409i	1.05306	+	0.765093i
$296$	1.67131			0.0971430
$297$	−0.0633012	−	3.31602i	−0.00367311	−	0.192415i
$298$		−	12.3428i		−	0.714997i
$299$	1.50446	−	4.64923i	0.0870051	−	0.268872i
$300$	−0.190604	+	0.586619i	−0.0110045	+	0.0338685i
$301$	−9.39396	−	4.78646i	−0.541459	−	0.275887i
$302$	17.5769	−	12.7704i	1.01144	−	0.734851i
$303$	1.95714	−	1.42195i	0.112435	−	0.0816887i
$304$	17.0967	−	33.5541i	0.980561	−	1.92446i
$305$	18.4629	−	9.40732i	1.05718	−	0.538662i
$306$	−0.141093	−	0.890823i	−0.00806573	−	0.0509250i
$307$	16.4108	−	16.4108i	0.936611	−	0.936611i	−0.0614960	−	0.998107i	$-0.519587\pi$
$307$	16.4108	−	16.4108i	0.936611	−	0.936611i	0.998107	+	0.0614960i	$0.0195871\pi$
$308$	−8.47835	+	8.80834i	−0.483099	+	0.501902i
$309$			6.03025i			0.343049i
$310$	−35.1983	+	5.57487i	−1.99913	+	0.316631i
$311$	25.5051	+	8.28710i	1.44626	+	0.469918i	0.923843	−	0.382772i	$-0.125031\pi$
$311$	25.5051	+	8.28710i	1.44626	+	0.469918i	0.522417	+	0.852690i	$0.325031\pi$
$312$	−5.74417	−	0.902722i	−0.325199	−	0.0511066i
$313$	−17.4470	+	12.6760i	−0.986160	+	0.716487i	−0.959077	−	0.283146i	$-0.908622\pi$
$313$	−17.4470	+	12.6760i	−0.986160	+	0.716487i	−0.0270832	+	0.999633i	$0.508622\pi$
$314$	15.0262	+	2.37991i	0.847976	+	0.134306i
$315$	−7.65239	+	2.48641i	−0.431163	+	0.140093i
$316$	−1.35732	+	4.17739i	−0.0763551	+	0.234997i
$317$	30.8023	−	4.87860i	1.73003	−	0.274010i	0.789507	−	0.613742i	$-0.210336\pi$
$317$	30.8023	−	4.87860i	1.73003	−	0.274010i	0.940522	+	0.339732i	$0.110336\pi$
$318$	15.4595	+	15.4595i	0.866923	+	0.866923i
$319$	2.96563	−	9.75712i	0.166043	−	0.546294i
$320$	0.438103	+	0.438103i	0.0244907	+	0.0244907i
$321$	9.52914	−	13.1157i	0.531865	−	0.732049i
$322$	7.71349	+	2.50626i	0.429856	+	0.139669i
$323$	−1.75923	+	3.45268i	−0.0978861	+	0.192112i
$324$	−0.635554	−	0.874765i	−0.0353086	−	0.0485981i
$325$	−1.66542	−	1.20695i	−0.0923808	−	0.0669494i
$326$	−14.8430	+	4.82279i	−0.822079	+	0.267110i
$327$	14.6418	−	7.46038i	0.809694	−	0.412560i
$328$	9.31588	+	6.76838i	0.514383	+	0.373721i
$329$	−3.06223			−0.168826
$330$	8.28723	+	10.9602i	0.456197	+	0.603340i
$331$	5.64520	−	5.64520i	0.310288	−	0.310288i	−0.534733	−	0.845021i	$-0.679588\pi$
$331$	5.64520	−	5.64520i	0.310288	−	0.310288i	0.845021	+	0.534733i	$0.179588\pi$
$332$	−0.512074	+	0.0811045i	−0.0281037	+	0.00445119i
$333$	−0.923390	+	0.470491i	−0.0506014	+	0.0257827i
$334$	3.54476	+	10.9097i	0.193961	+	0.596950i
$335$	−7.20149	−	9.91200i	−0.393460	−	0.541551i
$336$	2.66302	−	16.8136i	0.145280	−	0.917259i
$337$	−6.38999	−	19.6664i	−0.348085	−	1.07129i	−0.959912	−	0.280303i	$-0.909565\pi$
$337$	−6.38999	−	19.6664i	−0.348085	−	1.07129i	0.611827	−	0.790992i	$-0.290435\pi$
$338$	−10.3111	+	20.3572i	−0.560848	+	1.10729i
$339$	−11.4107	−	8.29039i	−0.619747	−	0.450272i
$340$	0.927194	+	0.927194i	0.0502842	+	0.0502842i
$341$	−12.4644	+	25.6622i	−0.674987	+	1.38969i
$342$			13.2383i			0.715848i
$343$	−1.26805	−	8.00617i	−0.0684684	−	0.432292i
$344$	−2.26424	−	4.44382i	−0.122080	−	0.239595i
$345$	1.45220	−	2.85010i	0.0781837	−	0.153444i
$346$	−9.39938	−	1.48872i	−0.505314	−	0.0800338i
$347$	8.73000	+	12.0158i	0.468651	+	0.645042i	0.976275	−	0.216536i	$-0.0694760\pi$
$347$	8.73000	+	12.0158i	0.468651	+	0.645042i	−0.507624	+	0.861579i	$0.669476\pi$
$348$	−1.02737	−	3.16193i	−0.0550731	−	0.169497i
$349$	15.2814	+	29.9915i	0.817995	+	1.60541i	0.795728	+	0.605654i	$0.207088\pi$
$349$	15.2814	+	29.9915i	0.817995	+	1.60541i	0.0222669	+	0.999752i	$0.492912\pi$
$350$	2.00653	−	2.76175i	0.107253	−	0.147622i
$351$	3.42774	−	1.11829i	0.182959	−	0.0596899i
$352$	−18.0890	+	3.22006i	−0.964147	+	0.171630i
$353$	5.65105	−	5.65105i	0.300775	−	0.300775i	−0.540542	−	0.841317i	$-0.681781\pi$
$353$	5.65105	−	5.65105i	0.300775	−	0.300775i	0.841317	+	0.540542i	$0.181781\pi$
$354$	9.77338	−	13.4519i	0.519449	−	0.714961i
$355$	−23.3519	−	7.58749i	−1.23939	−	0.402702i
$356$	1.49571	+	0.762103i	0.0792725	+	0.0403914i
$357$	−0.274022	+	1.73011i	−0.0145028	+	0.0915669i
$358$	4.79535	−	30.2767i	0.253442	−	1.60017i
$359$	17.3904	+	8.86087i	0.917832	+	0.467659i	0.848058	−	0.529904i	$-0.177772\pi$
$359$	17.3904	+	8.86087i	0.917832	+	0.467659i	0.0697747	+	0.997563i	$0.477772\pi$
$360$	−3.61997	−	1.17620i	−0.190789	−	0.0619911i
$361$	22.2636	−	30.6432i	1.17177	−	1.61280i
$362$	26.6866	−	26.6866i	1.40262	−	1.40262i
$363$	10.9920	−	0.419816i	0.576930	−	0.0220346i
$364$	−11.8494	−	6.01968i	−0.621079	−	0.315517i
$365$	1.61605	−	2.22431i	0.0845882	−	0.116426i
$366$	−6.99658	−	13.7316i	−0.365717	−	0.717760i
$367$	−1.63976	−	5.04666i	−0.0855947	−	0.263433i	0.899094	−	0.437756i	$-0.144227\pi$
$367$	−1.63976	−	5.04666i	−0.0855947	−	0.263433i	−0.984689	+	0.174322i	$0.944227\pi$
$368$	3.97785	+	5.47504i	0.207360	+	0.285406i
$369$	−7.05234	−	1.11698i	−0.367130	−	0.0581477i
$370$	1.94922	−	3.82556i	0.101335	−	0.198881i
$371$	−19.2769	−	37.8330i	−1.00081	−	1.96419i
$372$	1.45498	+	9.18641i	0.0754374	+	0.476293i
$373$		−	14.2253i		−	0.736556i	−0.929716	−	0.368278i	$-0.879948\pi$
$373$		−	14.2253i		−	0.736556i	0.929716	−	0.368278i	$-0.120052\pi$
$374$	2.94506	−	0.524256i	0.152285	−	0.0271086i
$375$	7.39248	+	7.39248i	0.381746	+	0.381746i
$376$	−1.17193	−	0.851460i	−0.0604379	−	0.0439107i
$377$	11.0862	−	0.0133034i	0.570970	−	0.000685161i
$378$	1.84924	+	5.69137i	0.0951146	+	0.292733i
$379$	−0.423096	+	2.67132i	−0.0217330	+	0.137217i	−0.996169	−	0.0874483i	$-0.972129\pi$
$379$	−0.423096	+	2.67132i	−0.0217330	+	0.137217i	0.974436	+	0.224665i	$0.0721287\pi$
$380$	−11.3127	−	15.5706i	−0.580329	−	0.798755i
$381$	−4.89261	−	15.0579i	−0.250656	−	0.771440i
$382$	26.8858	−	13.6990i	1.37560	−	0.700903i
$383$	6.06330	−	0.960332i	0.309820	−	0.0490707i	0.000411643	−	1.00000i	$-0.499869\pi$
$383$	6.06330	−	0.960332i	0.309820	−	0.0490707i	0.309408	+	0.950929i	$0.399869\pi$
$384$	8.16027	−	8.16027i	0.416427	−	0.416427i
$385$	−8.72940	−	25.2181i	−0.444892	−	1.28523i
$386$	35.7602			1.82015
$387$	2.50196	+	1.81778i	0.127182	+	0.0924028i
$388$	−17.4088	+	8.87023i	−0.883798	+	0.450318i
$389$	−18.2383	+	5.92599i	−0.924719	+	0.300459i	−0.732401	−	0.680873i	$-0.761600\pi$
$389$	−18.2383	+	5.92599i	−0.924719	+	0.300459i	−0.192318	+	0.981333i	$0.561600\pi$
$390$	−8.76561	+	12.0953i	−0.443864	+	0.612470i
$391$	−0.409317	−	0.563376i	−0.0207000	−	0.0284911i
$392$	−3.38421	+	6.64188i	−0.170928	+	0.335466i
$393$	0.312126	+	0.101416i	0.0157447	+	0.00511575i
$394$	12.0171	−	16.5402i	0.605415	−	0.833282i
$395$	−6.77946	−	6.77946i	−0.341112	−	0.341112i
$396$	2.86051	−	2.16288i	0.143746	−	0.108689i
$397$	10.1923	+	10.1923i	0.511535	+	0.511535i	0.914997	−	0.403461i	$-0.132193\pi$
$397$	10.1923	+	10.1923i	0.511535	+	0.511535i	−0.403461	+	0.914997i	$0.632193\pi$
$398$	−48.1717	+	7.62965i	−2.41463	+	0.382440i
$399$	7.94506	−	24.4524i	0.397750	−	1.22415i
$400$	2.70906	−	0.880226i	0.135453	−	0.0440113i
$401$	14.8998	+	2.35990i	0.744063	+	0.117848i	0.516944	−	0.856019i	$-0.327069\pi$
$401$	14.8998	+	2.35990i	0.744063	+	0.117848i	0.227119	+	0.973867i	$0.427069\pi$
$402$	−7.37193	+	5.35602i	−0.367678	+	0.267134i
$403$	−30.6384	−	4.81496i	−1.52621	−	0.239850i
$404$	2.48774	+	0.808315i	0.123770	+	0.0402152i
$405$	2.33112	−	0.369213i	0.115834	−	0.0183464i
$406$			18.4002i			0.913188i
$407$	−1.61861	−	3.03220i	−0.0802314	−	0.150300i
$408$	−0.585929	+	0.585929i	−0.0290078	+	0.0290078i
$409$	4.54166	+	28.6749i	0.224571	+	1.41788i	0.799984	+	0.600022i	$0.204841\pi$
$409$	4.54166	+	28.6749i	0.224571	+	1.41788i	−0.575413	+	0.817863i	$0.695159\pi$
$410$	26.3575	−	13.4298i	1.30170	−	0.663251i
$411$	−1.15897	+	2.27461i	−0.0571678	+	0.112198i
$412$	−5.27505	+	3.83255i	−0.259883	+	0.188816i
$413$	−26.1255	+	18.9813i	−1.28555	+	0.934009i
$414$	−2.11972	−	1.08005i	−0.104179	−	0.0530817i
$415$	0.349709	−	1.07629i	0.0171665	−	0.0528331i
$416$	−9.08934	−	17.7860i	−0.445642	−	0.872032i
$417$			11.1585i			0.546434i
$418$	−43.8986	+	0.838003i	−2.14715	+	0.0409881i
$419$	−5.89356			−0.287919			−0.143960	−	0.989584i	$-0.545984\pi$
$419$	−5.89356			−0.287919			−0.143960	+	0.989584i	$0.545984\pi$
$420$	−7.03854	−	5.11380i	−0.343445	−	0.249528i
$421$	−3.22001	−	6.31962i	−0.156934	−	0.308000i	0.799130	−	0.601158i	$-0.205294\pi$
$421$	−3.22001	−	6.31962i	−0.156934	−	0.308000i	−0.956064	+	0.293158i	$0.905294\pi$
$422$	−5.73861	−	2.92397i	−0.279351	−	0.142337i
$423$	0.887181	+	0.140516i	0.0431362	+	0.00683211i
$424$	3.14217	−	19.8389i	0.152597	−	0.963462i
$425$	−0.278759	+	0.0905743i	−0.0135218	+	0.00439350i
$426$	−5.64310	+	17.3677i	−0.273409	+	0.841467i
$427$	4.68223	+	29.5624i	0.226589	+	1.43063i
$428$	17.5295			0.847319
$429$	3.92526	+	11.2957i	0.189513	+	0.545361i
$430$	−12.8124			−0.617871
$431$	5.86830	+	37.0510i	0.282666	+	1.78468i	0.564718	+	0.825284i	$0.308985\pi$
$431$	5.86830	+	37.0510i	0.282666	+	1.78468i	−0.282051	+	0.959399i	$0.591015\pi$
$432$	−1.54304	+	4.74900i	−0.0742397	+	0.228486i
$433$	6.91724	−	2.24755i	0.332421	−	0.108010i	−0.138051	−	0.990425i	$-0.544084\pi$
$433$	6.91724	−	2.24755i	0.332421	−	0.108010i	0.470472	+	0.882415i	$0.344084\pi$
$434$	8.05258	−	50.8420i	0.386536	−	2.44049i
$435$	7.16767	+	1.13525i	0.343663	+	0.0544309i
$436$	15.8317	+	8.06668i	0.758203	+	0.386324i
$437$	4.64033	+	9.10717i	0.221977	+	0.435655i
$438$	−1.65430	−	1.20192i	−0.0790456	−	0.0574300i
$439$	−2.68765			−0.128275			−0.0641373	−	0.997941i	$-0.520430\pi$
$439$	−2.68765			−0.128275			−0.0641373	+	0.997941i	$0.520430\pi$
$440$	3.67115	−	12.0783i	0.175015	−	0.575812i
$441$		−	4.62229i		−	0.220109i
$442$	1.47983	+	2.89573i	0.0703883	+	0.137736i
$443$	−4.37594	+	13.4677i	−0.207907	+	0.639872i	0.791674	+	0.610943i	$0.209210\pi$
$443$	−4.37594	+	13.4677i	−0.207907	+	0.639872i	−0.999581	+	0.0289288i	$0.990790\pi$
$444$	−0.998433	−	0.508727i	−0.0473835	−	0.0241431i
$445$	−2.96439	+	2.15376i	−0.140526	+	0.102098i
$446$	−16.8457	+	12.2391i	−0.797665	+	0.579538i
$447$	3.19223	−	6.26511i	0.150987	−	0.296329i
$448$	−0.797394	+	0.406293i	−0.0376733	+	0.0191955i
$449$	4.34321	+	27.4220i	0.204969	+	1.29412i	0.848702	+	0.528872i	$0.177385\pi$
$449$	4.34321	+	27.4220i	0.204969	+	1.29412i	−0.643733	+	0.765250i	$0.722615\pi$
$450$	−0.708053	+	0.708053i	−0.0333779	+	0.0333779i
$451$	3.25751	−	23.4564i	0.153390	−	1.10452i
$452$		−	15.2507i		−	0.717333i
$453$	12.2247	−	1.93621i	0.574368	−	0.0909710i
$454$	4.91375	+	1.59658i	0.230614	+	0.0749310i
$455$	23.4499	−	17.0804i	1.09935	−	0.800741i
$456$	9.83965	−	7.14892i	0.460784	−	0.334779i
$457$	−31.4666	−	4.98382i	−1.47195	−	0.233133i	−0.631647	−	0.775256i	$-0.717621\pi$
$457$	−31.4666	−	4.98382i	−1.47195	−	0.233133i	−0.840299	+	0.542123i	$0.817621\pi$
$458$	−36.2345	+	11.7733i	−1.69313	+	0.550130i
$459$	0.158778	−	0.488667i	0.00741110	−	0.0228090i
$460$	3.41612	−	0.541059i	0.159277	−	0.0252270i
$461$	8.70440	+	8.70440i	0.405404	+	0.405404i	0.880132	−	0.474728i	$-0.157454\pi$
$461$	8.70440	+	8.70440i	0.405404	+	0.405404i	−0.474728	+	0.880132i	$0.657454\pi$
$462$	−18.7556	+	6.49239i	−0.872592	+	0.302053i
$463$	9.56617	+	9.56617i	0.444578	+	0.444578i	0.893547	−	0.448969i	$-0.148209\pi$
$463$	9.56617	+	9.56617i	0.444578	+	0.444578i	−0.448969	+	0.893547i	$0.648209\pi$
$464$	−9.02459	+	12.4213i	−0.418956	+	0.576643i
$465$	−19.3083	−	6.27364i	−0.895400	−	0.290933i
$466$	−5.10330	+	10.0158i	−0.236406	+	0.463972i
$467$	−13.7768	−	18.9621i	−0.637513	−	0.877462i	0.360966	−	0.932579i	$-0.382447\pi$
$467$	−13.7768	−	18.9621i	−0.637513	−	0.877462i	−0.998480	+	0.0551168i	$0.982447\pi$
$468$	3.15676	+	2.28774i	0.145921	+	0.105751i
$469$	16.8310	−	5.46874i	0.777185	−	0.252523i
$470$	−3.31576	+	1.68946i	−0.152945	+	0.0779292i
$471$	7.01167	+	5.09428i	0.323081	+	0.234732i
$472$	−15.2762			−0.703143
$473$	−5.86941	+	8.41161i	−0.269876	+	0.386766i
$474$	−5.04214	+	5.04214i	−0.231593	+	0.231593i
$475$	4.24918	−	0.673003i	0.194966	−	0.0308795i
$476$	−1.68759	+	0.859871i	−0.0773506	+	0.0394121i
$477$	3.84881	+	11.8454i	0.176225	+	0.542365i
$478$	17.6969	+	24.3577i	0.809438	+	1.11410i
$479$	4.34072	−	27.4062i	0.198333	−	1.25222i	−0.664714	−	0.747098i	$-0.731447\pi$
$479$	4.34072	−	27.4062i	0.198333	−	1.25222i	0.863047	−	0.505124i	$-0.168553\pi$
$480$	−4.04036	−	12.4349i	−0.184416	−	0.567575i
$481$	2.63900	−	2.64534i	0.120328	−	0.120617i
$482$	−9.34358	−	6.78851i	−0.425588	−	0.309208i
$483$	3.26712	+	3.26712i	0.148659	+	0.148659i
$484$	7.35324	+	9.34859i	0.334238	+	0.424936i
$485$		−	42.6481i		−	1.93655i
$486$	−0.274598	−	1.73374i	−0.0124560	−	0.0786442i
$487$	−6.32843	−	12.4202i	−0.286768	−	0.562815i	0.702017	−	0.712161i	$-0.252283\pi$
$487$	−6.32843	−	12.4202i	−0.286768	−	0.562815i	−0.988785	+	0.149346i	$0.952283\pi$
$488$	−6.42797	+	12.6156i	−0.290981	+	0.571082i
$489$	−8.78155	−	1.39086i	−0.397115	−	0.0628969i
$490$	11.2560	+	15.4926i	0.508496	+	0.699885i
$491$	9.62554	+	29.6244i	0.434395	+	1.33693i	0.893706	+	0.448654i	$0.148096\pi$
$491$	9.62554	+	29.6244i	0.434395	+	1.33693i	−0.459311	+	0.888275i	$0.651904\pi$
$492$	−3.50505	−	6.87904i	−0.158020	−	0.310131i
$493$	0.928621	−	1.27814i	0.0418230	−	0.0575644i
$494$	−14.8043	−	45.3776i	−0.666078	−	2.04164i
$495$	1.37188	+	7.70668i	0.0616615	+	0.346389i
$496$	30.3720	−	30.3720i	1.36374	−	1.36374i
$497$	20.8466	−	28.6929i	0.935098	−	1.28705i
$498$	−0.800479	−	0.260091i	−0.0358703	−	0.0116550i
$499$	−31.1513	−	15.8724i	−1.39452	−	0.710545i	−0.414616	−	0.909997i	$-0.636084\pi$
$499$	−31.1513	−	15.8724i	−1.39452	−	0.710545i	−0.979908	+	0.199451i	$0.936084\pi$
$500$	−1.76836	+	11.1650i	−0.0790835	+	0.499314i
$501$	−1.02229	+	6.45446i	−0.0456724	+	0.288364i
$502$	−15.6632	−	7.98081i	−0.699084	−	0.356201i
$503$	14.4058	+	4.68073i	0.642323	+	0.208704i	0.612026	−	0.790837i	$-0.290355\pi$
$503$	14.4058	+	4.68073i	0.642323	+	0.208704i	0.0302971	+	0.999541i	$0.490355\pi$
$504$	3.23160	−	4.44792i	0.143947	−	0.198126i
$505$	−4.03733	+	4.03733i	−0.179659	+	0.179659i
$506$	3.44730	−	7.09742i	0.153251	−	0.315519i
$507$	−10.4989	+	7.66643i	−0.466270	+	0.340478i
$508$	10.0626	−	13.8500i	0.446456	−	0.614494i
$509$	−7.90880	−	15.5219i	−0.350551	−	0.687996i	0.646648	−	0.762789i	$-0.276170\pi$
$509$	−7.90880	−	15.5219i	−0.350551	−	0.687996i	−0.997199	+	0.0747930i	$0.976170\pi$
$510$	0.657808	+	2.02452i	0.0291282	+	0.0896475i
$511$	2.33430	+	3.21289i	0.103263	+	0.142130i
$512$	11.4144	+	1.80786i	0.504448	+	0.0798967i
$513$	−3.42386	+	6.71970i	−0.151167	+	0.296682i
$514$	−15.7022	−	30.8173i	−0.692593	−	1.35929i
$515$	−2.22645	−	14.0572i	−0.0981091	−	0.619436i
$516$			3.34392i			0.147208i
$517$	−0.409793	+	2.95081i	−0.0180227	+	0.129776i
$518$	4.38530	+	4.38530i	0.192679	+	0.192679i
$519$	−4.38603	−	3.18664i	−0.192526	−	0.139878i
$520$	13.7236	−	0.0164683i	0.601822	−	0.000722182i
$521$	3.97913	+	12.2465i	0.174329	+	0.536529i	0.999602	−	0.0282046i	$-0.00897899\pi$
$521$	3.97913	+	12.2465i	0.174329	+	0.536529i	−0.825273	+	0.564733i	$0.808979\pi$
$522$	0.844326	−	5.33086i	0.0369551	−	0.233326i
$523$	−3.26975	−	4.50042i	−0.142976	−	0.196790i	0.731523	−	0.681817i	$-0.238810\pi$
$523$	−3.26975	−	4.50042i	−0.142976	−	0.196790i	−0.874499	+	0.485027i	$0.838810\pi$
$524$	0.109658	+	0.337492i	0.00479042	+	0.0147434i
$525$	1.73278	−	0.882894i	0.0756246	−	0.0385326i
$526$	−54.9150	+	8.69768i	−2.39441	+	0.379237i
$527$	−3.12524	+	3.12524i	−0.136138	+	0.136138i
$528$	−15.8455	−	4.81615i	−0.689585	−	0.209596i
$529$	21.1632			0.920138
$530$	−41.7457	−	30.3300i	−1.81332	−	1.31745i
$531$	8.44000	−	4.30039i	0.366265	−	0.186621i
$532$	26.4396	−	8.59075i	1.14630	−	0.372456i
$533$	25.4227	−	4.05784i	1.10118	−	0.175765i
$534$	1.60183	+	2.20473i	0.0693180	+	0.0954080i
$535$	−17.3711	+	34.0927i	−0.751017	+	1.47395i
$536$	7.96193	+	2.58699i	0.343903	+	0.111741i
$537$	10.2646	−	14.1280i	0.442950	−	0.609669i
$538$	−13.5320	−	13.5320i	−0.583404	−	0.583404i
$539$	15.3276	−	0.292597i	0.660207	−	0.0126030i
$540$	1.80453	+	1.80453i	0.0776546	+	0.0776546i
$541$	36.4829	−	5.77832i	1.56852	−	0.248429i	0.689169	−	0.724600i	$-0.257976\pi$
$541$	36.4829	−	5.77832i	1.56852	−	0.248429i	0.879353	+	0.476171i	$0.157976\pi$
$542$	−3.35284	+	10.3190i	−0.144017	+	0.443238i
$543$	20.4480	−	6.64394i	0.877506	−	0.285119i
$544$	−2.81138	−	0.445279i	−0.120537	−	0.0190912i
$545$	−31.3774	+	22.7970i	−1.34406	+	0.976517i
$546$	−12.7033	−	17.4406i	−0.543652	−	0.746388i
$547$	27.4171	+	8.90836i	1.17227	+	0.380894i	0.829490	−	0.558521i	$-0.188631\pi$
$547$	27.4171	+	8.90836i	1.17227	+	0.380894i	0.342781	+	0.939415i	$0.388631\pi$
$548$	−2.72634	+	0.431809i	−0.116463	+	0.0184460i
$549$		−	8.77959i		−	0.374704i
$550$	−2.39274	−	2.30310i	−0.102027	−	0.0982044i
$551$	−16.3971	+	16.3971i	−0.698539	+	0.698539i
$552$	0.341916	+	2.15877i	0.0145529	+	0.0918834i
$553$	12.3393	−	6.28721i	0.524722	−	0.267359i
$554$	−14.9070	+	29.2566i	−0.633337	+	1.24299i
$555$	1.97882	−	1.43770i	0.0839963	−	0.0610269i
$556$	−9.76106	+	7.09182i	−0.413961	+	0.300760i
$557$	20.1741	+	10.2792i	0.854804	+	0.435544i	0.825752	−	0.564033i	$-0.190751\pi$
$557$	20.1741	+	10.2792i	0.854804	+	0.435544i	0.0290522	+	0.999578i	$0.490751\pi$
$558$	−4.66594	+	14.3603i	−0.197525	+	0.607920i
$559$	−10.6089	−	3.43296i	−0.448707	−	0.145199i
$560$			40.1779i			1.69782i
$561$	1.63048	+	0.495577i	0.0688390	+	0.0209233i
$562$	16.4685			0.694682
$563$	33.1740	+	24.1023i	1.39812	+	1.01579i	0.994919	+	0.100679i	$0.0321016\pi$
$563$	33.1740	+	24.1023i	1.39812	+	1.01579i	0.403199	+	0.915113i	$0.367898\pi$
$564$	0.440933	+	0.865380i	0.0185666	+	0.0364391i
$565$	29.6608	+	15.1129i	1.24784	+	0.635805i
$566$	−20.9237	−	3.31399i	−0.879489	−	0.139297i
$567$	−0.533308	+	3.36718i	−0.0223968	+	0.141408i
$568$	15.9562	−	5.18449i	0.669508	−	0.217536i
$569$	−0.860300	+	2.64773i	−0.0360657	+	0.110999i	−0.967469	−	0.252991i	$-0.918586\pi$
$569$	−0.860300	+	2.64773i	−0.0360657	+	0.110999i	0.931403	+	0.363990i	$0.118586\pi$
$570$	−4.88777	−	30.8602i	−0.204726	−	1.29259i
$571$	6.81057			0.285014			0.142507	−	0.989794i	$-0.454484\pi$
$571$	6.81057			0.285014			0.142507	+	0.989794i	$0.454484\pi$
$572$	−7.38635	+	10.6127i	−0.308839	+	0.443739i
$573$	17.1901			0.718126
$574$	6.68430	+	42.2030i	0.278997	+	1.76152i
$575$	−0.238909	+	0.735285i	−0.00996318	+	0.0306635i
$576$	0.249662	−	0.0811201i	0.0104026	−	0.00338001i
$577$	−1.74990	+	11.0485i	−0.0728494	+	0.459953i	0.924116	+	0.382111i	$0.124803\pi$
$577$	−1.74990	+	11.0485i	−0.0728494	+	0.459953i	−0.996966	+	0.0778419i	$0.975197\pi$
$578$	−29.0159	−	4.59567i	−1.20690	−	0.191155i
$579$	18.1516	+	9.24872i	0.754356	+	0.384364i
$580$	3.56236	+	6.99153i	0.147919	+	0.290308i
$581$	1.32246	+	0.960823i	0.0548649	+	0.0398617i
$582$	−31.7190			−1.31479
$583$	−39.0360	+	13.5126i	−1.61671	+	0.559634i
$584$			1.87865i			0.0777390i
$585$	−7.57760	+	3.87244i	−0.313295	+	0.160106i
$586$	15.2611	−	46.9689i	0.630431	−	1.94027i
$587$	−37.5574	−	19.1364i	−1.55016	−	0.789846i	−0.551153	−	0.834404i	$-0.685812\pi$
$587$	−37.5574	−	19.1364i	−1.55016	−	0.789846i	−0.999007	+	0.0445585i	$0.985812\pi$
$588$	4.04342	−	2.93771i	0.166748	−	0.121149i
$589$	52.4830	−	38.1311i	2.16252	−	1.57117i
$590$	−17.8163	+	34.9665i	−0.733486	+	1.43955i
$591$	10.3776	−	5.28767i	0.426879	−	0.217506i
$592$	0.809529	+	5.11117i	0.0332714	+	0.210068i
$593$	−27.3446	+	27.3446i	−1.12291	+	1.12291i	−0.131606	+	0.991302i	$0.542013\pi$
$593$	−27.3446	+	27.3446i	−1.12291	+	1.12291i	−0.991302	+	0.131606i	$0.957987\pi$
$594$	5.73175	−	1.02032i	0.235176	−	0.0418643i
$595$		−	4.13426i		−	0.169488i
$596$	7.50933	−	1.18936i	0.307594	−	0.0487182i
$597$	−26.4249	−	8.58598i	−1.08150	−	0.351401i
$598$	8.47369	+	1.33168i	0.346515	+	0.0544564i
$599$	−23.9917	+	17.4310i	−0.980276	+	0.712212i	−0.957770	−	0.287534i	$-0.907164\pi$
$599$	−23.9917	+	17.4310i	−0.980276	+	0.712212i	−0.0225057	+	0.999747i	$0.507164\pi$
$600$	0.908634	+	0.143913i	0.0370948	+	0.00587524i
$601$	39.8427	−	12.9457i	1.62522	−	0.528065i	0.652051	−	0.758175i	$-0.273909\pi$
$601$	39.8427	−	12.9457i	1.62522	−	0.528065i	0.973165	+	0.230110i	$0.0739087\pi$
$602$	5.71893	−	17.6011i	0.233086	−	0.717366i
$603$	−5.12718	+	0.812066i	−0.208795	+	0.0330699i
$604$	9.46320	+	9.46320i	0.385052	+	0.385052i
$605$	−25.4687	+	5.03703i	−1.03545	+	0.204784i
$606$	3.00272	+	3.00272i	0.121977	+	0.121977i
$607$	−20.1322	+	27.7096i	−0.817142	+	1.12470i	0.173040	+	0.984915i	$0.444641\pi$
$607$	−20.1322	+	27.7096i	−0.817142	+	1.12470i	−0.990182	+	0.139784i	$0.955359\pi$
$608$	39.7345	+	12.9105i	1.61145	+	0.523591i
$609$	−4.75889	+	9.33984i	−0.192840	+	0.378469i
$610$	21.3798	+	29.4267i	0.865641	+	1.19145i
$611$	−3.19817	+	0.510475i	−0.129384	+	0.0206516i
$612$	0.528381	−	0.171681i	0.0213585	−	0.00693981i
$613$	9.63675	−	4.91017i	0.389225	−	0.198320i	−0.248417	−	0.968653i	$-0.579910\pi$
$613$	9.63675	−	4.91017i	0.389225	−	0.198320i	0.637641	+	0.770333i	$0.279910\pi$
$614$	32.9584	+	23.9457i	1.33009	+	0.966369i
$615$	16.8523			0.679549
$616$	14.9539	+	10.4345i	0.602512	+	0.420418i
$617$	−0.672474	+	0.672474i	−0.0270728	+	0.0270728i	−0.720514	−	0.693441i	$-0.756094\pi$
$617$	−0.672474	+	0.672474i	−0.0270728	+	0.0270728i	0.693441	+	0.720514i	$0.256094\pi$
$618$	−10.4549	+	1.65589i	−0.420558	+	0.0666098i
$619$	−14.2105	+	7.24063i	−0.571170	+	0.291025i	−0.715624	−	0.698486i	$-0.753857\pi$
$619$	−14.2105	+	7.24063i	−0.571170	+	0.291025i	0.144454	+	0.989512i	$0.453857\pi$
$620$	−6.78349	−	20.8774i	−0.272432	−	0.838458i
$621$	−0.796622	−	1.09646i	−0.0319673	−	0.0439993i
$622$	−7.36406	+	46.4948i	−0.295272	+	1.86427i
$623$	−1.63554	−	5.03367i	−0.0655265	−	0.201670i
$624$	−0.0216046	−	18.0039i	−0.000864876	−	0.720734i
$625$	−22.2697	−	16.1799i	−0.890787	−	0.647195i
$626$	−26.7677	−	26.7677i	−1.06985	−	1.06985i
$627$	−22.4994	−	10.9282i	−0.898539	−	0.436431i
$628$			9.37125i			0.373954i
$629$	−0.0832997	−	0.525934i	−0.00332138	−	0.0209703i
$630$	−6.41213	−	12.5845i	−0.255465	−	0.501379i
$631$	−4.75978	+	9.34159i	−0.189484	+	0.371883i	−0.966131	−	0.258053i	$-0.916919\pi$
$631$	−4.75978	+	9.34159i	−0.189484	+	0.371883i	0.776647	+	0.629936i	$0.216919\pi$
$632$	6.47051	+	1.02483i	0.257383	+	0.0407655i
$633$	−2.15665	−	2.96837i	−0.0857192	−	0.117982i
$634$	16.9165	+	52.0636i	0.671840	+	2.06771i
$635$	16.9649	+	33.2954i	0.673230	+	1.32129i
$636$	−7.91584	+	10.8952i	−0.313883	+	0.432023i
$637$	5.16906	+	15.8440i	0.204806	+	0.627763i
$638$	17.7307	+	2.46235i	0.701965	+	0.0974854i
$639$	−7.35624	+	7.35624i	−0.291008	+	0.291008i
$640$	−16.0097	+	22.0355i	−0.632839	+	0.871028i
$641$	−29.1435	−	9.46930i	−1.15110	−	0.374015i	−0.329542	−	0.944141i	$-0.606894\pi$
$641$	−29.1435	−	9.46930i	−1.15110	−	0.374015i	−0.821557	+	0.570126i	$0.806894\pi$
$642$	25.3560	+	12.9195i	1.00072	+	0.509893i
$643$	−0.457169	+	2.88645i	−0.0180290	+	0.113831i	−0.995062	−	0.0992593i	$-0.968353\pi$
$643$	−0.457169	+	2.88645i	−0.0180290	+	0.113831i	0.977033	+	0.213090i	$0.0683527\pi$
$644$	−0.781530	+	4.93439i	−0.0307966	+	0.194442i
$645$	−6.50351	−	3.31371i	−0.256076	−	0.130477i
$646$	−6.46914	−	2.10195i	−0.254525	−	0.0827002i
$647$	−3.09406	+	4.25861i	−0.121640	+	0.167423i	−0.865494	−	0.500919i	$-0.832996\pi$
$647$	−3.09406	+	4.25861i	−0.121640	+	0.167423i	0.743854	+	0.668342i	$0.232996\pi$
$648$	−1.14035	+	1.14035i	−0.0447972	+	0.0447972i
$649$	14.7945	+	27.7150i	0.580733	+	1.08791i
$650$	1.63521	−	3.21883i	0.0641384	−	0.126253i
$651$	17.2368	−	23.7244i	0.675563	−	0.929833i
$652$	−4.36447	−	8.56576i	−0.170926	−	0.335461i
$653$	−0.360228	−	1.10867i	−0.0140968	−	0.0433855i	0.943761	−	0.330629i	$-0.107261\pi$
$653$	−0.360228	−	1.10867i	−0.0140968	−	0.0433855i	−0.957857	+	0.287244i	$0.907261\pi$
$654$	16.9550	+	23.3365i	0.662993	+	0.912531i
$655$	−0.765048	−	0.121172i	−0.0298929	−	0.00473457i
$656$	−16.1866	+	31.7680i	−0.631981	+	1.24033i
$657$	−0.528858	−	1.03794i	−0.0206327	−	0.0404940i
$658$	−0.840883	−	5.30913i	−0.0327810	−	0.206971i
$659$		−	9.21992i		−	0.359157i	−0.983744	−	0.179579i	$-0.942527\pi$
$659$		−	9.21992i		−	0.359157i	0.983744	−	0.179579i	$-0.0574734\pi$
$660$	−5.86963	+	6.09808i	−0.228475	+	0.237368i
$661$	1.28857	+	1.28857i	0.0501196	+	0.0501196i	0.731722	−	0.681603i	$-0.238717\pi$
$661$	1.28857	+	1.28857i	0.0501196	+	0.0501196i	−0.681603	+	0.731722i	$0.738717\pi$
$662$	11.3375	+	8.23716i	0.440644	+	0.320146i
$663$	0.00222309	+	1.85259i	8.63377e−5	+	0.0719485i
$664$	0.238954	+	0.735425i	0.00927322	+	0.0285400i
$665$	−9.49275	+	59.9349i	−0.368113	+	2.32418i
$666$	−1.06927	−	1.47172i	−0.0414334	−	0.0570282i
$667$	−1.28774	−	3.96326i	−0.0498616	−	0.153458i
$668$	−6.29586	+	3.20790i	−0.243594	+	0.124117i
$669$	−11.7162	+	1.85566i	−0.452973	+	0.0717439i
$670$	15.2074	−	15.2074i	0.587511	−	0.587511i
$671$	29.1133	−	0.555759i	1.12391	−	0.0214548i
$672$	18.8859			0.728541
$673$	−5.71344	−	4.15106i	−0.220237	−	0.160012i	0.472196	−	0.881493i	$-0.343461\pi$
$673$	−5.71344	−	4.15106i	−0.220237	−	0.160012i	−0.692433	+	0.721482i	$0.743461\pi$
$674$	32.3417	−	16.4789i	1.24576	−	0.634745i
$675$	−0.542528	+	0.176278i	−0.0208819	+	0.00678495i
$676$	−13.3789	−	4.31160i	−0.514573	−	0.165831i
$677$	−16.5238	−	22.7431i	−0.635062	−	0.874088i	0.363278	−	0.931681i	$-0.381657\pi$
$677$	−16.5238	−	22.7431i	−0.635062	−	0.874088i	−0.998340	+	0.0575930i	$0.981657\pi$
$678$	11.2400	−	22.0598i	0.431671	−	0.847202i
$679$	58.5877	+	19.0363i	2.24839	+	0.730546i
$680$	1.14954	−	1.58220i	0.0440828	−	0.0606748i
$681$	2.08126	+	2.08126i	0.0797542	+	0.0797542i
$682$	−47.9144	−	14.5633i	−1.83474	−	0.557659i
$683$	−18.0876	−	18.0876i	−0.692104	−	0.692104i	0.270591	−	0.962695i	$-0.412781\pi$
$683$	−18.0876	−	18.0876i	−0.692104	−	0.692104i	−0.962695	+	0.270591i	$0.912781\pi$
$684$	−8.05420	+	1.27566i	−0.307960	+	0.0487761i
$685$	1.86189	−	5.73030i	0.0711390	−	0.218943i
$686$	13.5324	−	4.39695i	0.516671	−	0.167877i
$687$	−21.4373	−	3.39534i	−0.817885	−	0.129540i
$688$	12.4933	−	9.07688i	0.476301	−	0.346053i
$689$	−26.4394	−	36.2990i	−1.00726	−	1.38288i
$690$	5.34011	+	1.73511i	0.203294	+	0.0660543i
$691$	22.8625	−	3.62106i	0.869730	−	0.137752i	0.294409	−	0.955680i	$-0.404877\pi$
$691$	22.8625	−	3.62106i	0.869730	−	0.137752i	0.575321	+	0.817928i	$0.304877\pi$
$692$		−	5.86203i		−	0.222841i
$693$	−11.1994	−	1.55531i	−0.425429	−	0.0590815i
$694$	−18.4351	+	18.4351i	−0.699786	+	0.699786i
$695$	−4.11986	−	26.0118i	−0.156275	−	0.986684i
$696$	−4.41821	+	2.25119i	−0.167472	+	0.0853312i
$697$	1.66558	−	3.26889i	0.0630885	−	0.123818i
$698$	−47.8012	+	34.7296i	−1.80930	+	1.31454i
$699$	−5.18080	+	3.76407i	−0.195956	+	0.142370i
$700$	1.87360	+	0.954646i	0.0708153	+	0.0360822i
$701$	6.83174	−	21.0259i	0.258031	−	0.794139i	−0.735186	−	0.677865i	$-0.762905\pi$
$701$	6.83174	−	21.0259i	0.258031	−	0.794139i	0.993217	−	0.116273i	$-0.0370948\pi$
$702$	2.88008	+	5.63575i	0.108702	+	0.212708i
$703$			7.81579i			0.294778i
$704$	0.284800	+	0.822750i	0.0107338	+	0.0310085i
$705$	−2.12001			−0.0798441
$706$	11.3492	+	8.24570i	0.427134	+	0.310331i
$707$	−3.74418	−	7.34838i	−0.140815	−	0.276364i
$708$	9.12591	+	4.64988i	0.342973	+	0.174753i
$709$	19.8960	+	3.15122i	0.747211	+	0.118347i	0.518417	−	0.855128i	$-0.326522\pi$
$709$	19.8960	+	3.15122i	0.747211	+	0.118347i	0.228794	+	0.973475i	$0.426522\pi$
$710$	6.74238	−	42.5697i	0.253037	−	1.59761i
$711$	−3.86342	+	1.25530i	−0.144889	+	0.0470774i
$712$	0.773692	−	2.38118i	0.0289954	−	0.0892385i
$713$	1.82372	+	11.5145i	0.0682989	+	0.431222i
$714$	−3.07480			−0.115072
$715$	−13.3208	−	24.8823i	−0.498168	−	0.930547i
$716$	18.8824			0.705669
$717$	2.68316	+	16.9408i	0.100204	+	0.632666i
$718$	−10.5871	+	32.5837i	−0.395107	+	1.21601i
$719$	4.63701	−	1.50666i	0.172931	−	0.0561888i	−0.221272	−	0.975212i	$-0.571021\pi$
$719$	4.63701	−	1.50666i	0.172931	−	0.0561888i	0.394203	+	0.919023i	$0.371021\pi$
$720$	1.84363	−	11.6402i	0.0687080	−	0.433805i
$721$	20.3049	+	3.21598i	0.756194	+	0.119769i
$722$	59.2411	+	30.1848i	2.20472	+	1.12336i
$723$	−2.98702	−	5.86235i	−0.111088	−	0.218023i
$724$	18.8077	+	13.6646i	0.698981	+	0.507840i
$725$	−1.75400			−0.0651418
$726$	3.74623	+	18.9420i	0.139036	+	0.703004i
$727$			16.8323i			0.624275i	0.950037	+	0.312138i	$0.101045\pi$
$727$			16.8323i			0.624275i	−0.950037	+	0.312138i	$0.898955\pi$
$728$	−6.10303	+	18.8602i	−0.226193	+	0.699005i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	4.30015	+	2.19103i	0.159156	+	0.0810938i
$731$	−1.28554	+	0.934002i	−0.0475475	+	0.0345453i
$732$	7.68008	−	5.57990i	0.283864	−	0.206239i
$733$	17.3535	−	34.0582i	0.640967	−	1.25797i	−0.310604	−	0.950539i	$-0.600531\pi$
$733$	17.3535	−	34.0582i	0.640967	−	1.25797i	0.951571	−	0.307429i	$-0.0994688\pi$
$734$	8.29933	−	4.22872i	0.306334	−	0.156085i
$735$	1.70661	+	10.7751i	0.0629493	+	0.397446i
$736$	−5.30898	+	5.30898i	−0.195692	+	0.195692i
$737$	−3.01738	−	16.9504i	−0.111147	−	0.624377i
$738$		−	12.5337i		−	0.461370i
$739$	−49.2605	+	7.80210i	−1.81208	+	0.287005i	−0.968319	−	0.249717i	$-0.919663\pi$
$739$	−49.2605	+	7.80210i	−1.81208	+	0.287005i	−0.843759	+	0.536722i	$0.819663\pi$
$740$	2.51530	+	0.817270i	0.0924642	+	0.0300434i
$741$	4.22153	−	26.8623i	0.155082	−	0.986810i
$742$	60.2994	−	43.8101i	2.21366	−	1.60832i
$743$	17.0054	+	2.69340i	0.623869	+	0.0988112i	0.460362	−	0.887731i	$-0.347719\pi$
$743$	17.0054	+	2.69340i	0.623869	+	0.0988112i	0.163507	+	0.986542i	$0.447719\pi$
$744$	13.1932	−	4.28674i	0.483688	−	0.157160i
$745$	−5.12832	+	15.7833i	−0.187887	+	0.578257i
$746$	24.6629	−	3.90622i	0.902974	−	0.143017i
$747$	−0.339050	−	0.339050i	−0.0124052	−	0.0124052i
$748$	0.602746	+	1.74125i	0.0220386	+	0.0636665i
$749$	−39.0810	−	39.0810i	−1.42799	−	1.42799i
$750$	−10.7867	+	14.8466i	−0.393874	+	0.542122i
$751$	3.94028	+	1.28028i	0.143783	+	0.0467179i	0.380024	−	0.924976i	$-0.375916\pi$
$751$	3.94028	+	1.28028i	0.143783	+	0.0467179i	−0.236241	+	0.971694i	$0.575916\pi$
$752$	2.03627	−	3.99640i	0.0742551	−	0.145734i
$753$	−5.88646	−	8.10202i	−0.214515	−	0.295254i
$754$	3.06732	+	19.2170i	0.111705	+	0.699843i
$755$	−27.7825	+	9.02707i	−1.01111	+	0.328529i
$756$	−3.28443	+	1.67350i	−0.119454	+	0.0608647i
$757$	1.31394	+	0.954632i	0.0477559	+	0.0346967i	0.611407	−	0.791316i	$-0.290604\pi$
$757$	1.31394	+	0.954632i	0.0477559	+	0.0346967i	−0.563651	+	0.826013i	$0.690604\pi$
$758$	−4.74757			−0.172439
$759$	3.58544	−	2.71102i	0.130143	−	0.0984039i
$760$	−20.2979	+	20.2979i	−0.736284	+	0.736284i
$761$	−5.05930	+	0.801315i	−0.183400	+	0.0290477i	−0.247459	−	0.968898i	$-0.579595\pi$
$761$	−5.05930	+	0.801315i	−0.183400	+	0.0290477i	0.0640590	+	0.997946i	$0.479595\pi$
$762$	24.7630	−	12.6174i	0.897070	−	0.457080i
$763$	−17.3118	−	53.2803i	−0.626729	−	1.92887i
$764$	10.9252	+	15.0373i	0.395261	+	0.544030i
$765$	−0.189707	+	1.19777i	−0.00685889	+	0.0433053i
$766$	3.32994	+	10.2485i	0.120316	+	0.370293i
$767$	−24.1211	+	24.1790i	−0.870961	+	0.873054i
$768$	15.9639	+	11.5984i	0.576046	+	0.418522i
$769$	14.3181	+	14.3181i	0.516324	+	0.516324i	0.916457	−	0.400133i	$-0.131036\pi$
$769$	14.3181	+	14.3181i	0.516324	+	0.516324i	−0.400133	+	0.916457i	$0.631036\pi$
$770$	41.3246	−	22.0594i	1.48924	−	0.794965i
$771$		−	19.7037i		−	0.709612i
$772$	3.44589	+	21.7565i	0.124020	+	0.783033i
$773$	1.03562	+	2.03251i	0.0372485	+	0.0731043i	0.908881	−	0.417056i	$-0.136938\pi$
$773$	1.03562	+	2.03251i	0.0372485	+	0.0731043i	−0.871632	+	0.490160i	$0.836938\pi$
$774$	−2.46453	+	4.83691i	−0.0885856	+	0.173859i
$775$	4.84650	+	0.767610i	0.174091	+	0.0275734i
$776$	17.1288	+	23.5757i	0.614887	+	0.846319i
$777$	1.09177	+	3.36013i	0.0391671	+	0.120544i
$778$	−15.2823	−	29.9933i	−0.547898	−	1.07531i
$779$	−31.6520	+	43.5652i	−1.13405	+	1.56088i
$780$	−8.20345	−	4.16747i	−0.293731	−	0.149220i
$781$	−24.8591	−	23.9278i	−0.889528	−	0.856203i
$782$	0.864352	−	0.864352i	0.0309092	−	0.0309092i
$783$	1.80730	−	2.48754i	0.0645878	−	0.0888975i
$784$	−21.9513	−	7.13240i	−0.783974	−	0.254728i
$785$	−18.2259	−	9.28658i	−0.650512	−	0.331452i
$786$	−0.0901199	+	0.568995i	−0.00321447	+	0.0202954i
$787$	4.99121	−	31.5133i	0.177918	−	1.12333i	−0.723484	−	0.690342i	$-0.757460\pi$
$787$	4.99121	−	31.5133i	0.177918	−	1.12333i	0.901401	−	0.432985i	$-0.142540\pi$
$788$	11.2210	+	5.71740i	0.399732	+	0.203674i
$789$	−30.1240	−	9.78788i	−1.07244	−	0.348458i
$790$	9.89222	−	13.6155i	0.351949	−	0.484417i
$791$	−34.0006	+	34.0006i	−1.20892	+	1.20892i
$792$	−3.85361	−	3.70924i	−0.136932	−	0.131802i
$793$	9.81813	+	30.0942i	0.348652	+	1.06868i
$794$	−14.8720	+	20.4695i	−0.527787	+	0.726437i
$795$	−13.3455	−	26.1921i	−0.473318	−	0.928938i
$796$	−9.28375	−	28.5725i	−0.329054	−	1.01272i
$797$	−11.7702	−	16.2004i	−0.416923	−	0.573846i	0.547967	−	0.836500i	$-0.315402\pi$
$797$	−11.7702	−	16.2004i	−0.416923	−	0.573846i	−0.964890	+	0.262654i	$0.915402\pi$
$798$	44.5758	+	7.06012i	1.57797	+	0.249925i
$799$	−0.209530	+	0.411226i	−0.00741264	+	0.0145481i
$800$	1.43468	+	2.81572i	0.0507236	+	0.0995507i
$801$	0.242865	+	1.53339i	0.00858122	+	0.0541797i
$802$			26.4805i			0.935060i
$803$	3.40836	−	1.81941i	0.120278	−	0.0642055i
$804$	−3.96897	−	3.96897i	−0.139975	−	0.139975i
$805$	−8.82231	−	6.40978i	−0.310946	−	0.225915i
$806$	−0.0653292	−	54.4413i	−0.00230112	−	1.91761i
$807$	−3.36894	−	10.3685i	−0.118592	−	0.364990i
$808$	0.610310	−	3.85334i	0.0214706	−	0.135560i
$809$	−1.93041	−	2.65699i	−0.0678698	−	0.0934147i	0.773733	−	0.633512i	$-0.218387\pi$
$809$	−1.93041	−	2.65699i	−0.0678698	−	0.0934147i	−0.841602	+	0.540097i	$0.818387\pi$
$810$	1.28024	+	3.94018i	0.0449831	+	0.138444i
$811$	−19.7649	+	10.0707i	−0.694038	+	0.353630i	−0.765162	−	0.643837i	$-0.777341\pi$
$811$	−19.7649	+	10.0707i	−0.694038	+	0.353630i	0.0711241	+	0.997467i	$0.477341\pi$
$812$	−11.1947	+	1.77307i	−0.392857	+	0.0622224i
$813$	−4.37069	+	4.37069i	−0.153287	+	0.153287i
$814$	4.81258	−	3.63889i	0.168681	−	0.127543i
$815$	20.9844			0.735051
$816$	−2.07568	−	1.50807i	−0.0726634	−	0.0527930i
$817$	20.7813	−	10.5886i	0.727044	−	0.370448i
$818$	−48.4679	+	15.7482i	−1.69464	+	0.550621i
$819$	−1.93744	−	12.1382i	−0.0676995	−	0.424143i
$820$	10.7105	+	14.7418i	0.374028	+	0.514805i
$821$	0.449169	−	0.881543i	0.0156761	−	0.0307661i	−0.883036	−	0.469306i	$-0.844504\pi$
$821$	0.449169	−	0.881543i	0.0156761	−	0.0307661i	0.898712	+	0.438540i	$0.144504\pi$
$822$	−4.26184	−	1.38475i	−0.148649	−	0.0482989i
$823$	−6.59017	+	9.07059i	−0.229719	+	0.316181i	−0.908280	−	0.418363i	$-0.862604\pi$
$823$	−6.59017	+	9.07059i	−0.229719	+	0.316181i	0.678561	+	0.734544i	$0.262604\pi$
$824$	6.87659	+	6.87659i	0.239558	+	0.239558i
$825$	−0.618884	−	1.78788i	−0.0215468	−	0.0622458i
$826$	−40.0827	−	40.0827i	−1.39466	−	1.39466i
$827$	51.4544	−	8.14957i	1.78924	−	0.283388i	0.828330	−	0.560240i	$-0.189291\pi$
$827$	51.4544	−	8.14957i	1.78924	−	0.283388i	0.960913	+	0.276852i	$0.0892910\pi$
$828$	0.452845	−	1.39371i	0.0157375	−	0.0484349i
$829$	35.8980	−	11.6640i	1.24679	−	0.405107i	0.390020	−	0.920806i	$-0.372468\pi$
$829$	35.8980	−	11.6640i	1.24679	−	0.405107i	0.856769	+	0.515700i	$0.172468\pi$
$830$	1.96204	+	0.310757i	0.0681035	+	0.0107865i
$831$	−15.1334	+	10.9950i	−0.524971	+	0.381414i
$832$	−0.765062	+	0.557254i	−0.0265237	+	0.0193193i
$833$	2.25876	+	0.733916i	0.0782614	+	0.0254287i
$834$	−19.3460	+	3.06410i	−0.669896	+	0.106101i
$835$		−	15.4236i		−	0.533755i
$836$	−4.73996	−	26.6272i	−0.163935	−	0.920919i
$837$	−6.08243	+	6.08243i	−0.210240	+	0.210240i
$838$	−1.61836	−	10.2179i	−0.0559053	−	0.352972i
$839$	−20.1441	+	10.2639i	−0.695452	+	0.354351i	−0.765717	−	0.643178i	$-0.777616\pi$
$839$	−20.1441	+	10.2639i	−0.695452	+	0.354351i	0.0702648	+	0.997528i	$0.477616\pi$
$840$	−5.89102	+	11.5618i	−0.203260	+	0.398920i
$841$	−15.8129	+	11.4887i	−0.545271	+	0.396163i
$842$	10.0724	−	7.31802i	0.347118	−	0.252196i
$843$	8.35931	+	4.25928i	0.287910	+	0.146697i
$844$	1.22596	−	3.77312i	0.0421994	−	0.129876i
$845$	21.6436	−	21.7477i	0.744561	−	0.748143i
$846$			1.57673i			0.0542091i
$847$	4.44852	−	37.2358i	0.152853	−	1.27944i
$848$	62.1928			2.13571
$849$	−9.76363	−	7.09369i	−0.335087	−	0.243455i
$850$	−0.233579	−	0.458425i	−0.00801170	−	0.0157239i
$851$	−1.25147	−	0.637653i	−0.0428997	−	0.0218585i
$852$	−11.1103	−	1.75969i	−0.380631	−	0.0602861i
$853$	0.579252	−	3.65726i	0.0198332	−	0.125222i	−0.975785	−	0.218731i	$-0.929808\pi$
$853$	0.579252	−	3.65726i	0.0198332	−	0.125222i	0.995618	+	0.0935088i	$0.0298083\pi$
$854$	−49.9679	+	16.2356i	−1.70987	+	0.555569i
$855$	5.50043	−	16.9286i	0.188111	−	0.578945i
$856$	−4.08998	−	25.8231i	−0.139792	−	0.882615i
$857$	−7.69924			−0.263001			−0.131501	−	0.991316i	$-0.541980\pi$
$857$	−7.69924			−0.263001			−0.131501	+	0.991316i	$0.541980\pi$
$858$	−18.5059	+	9.90715i	−0.631782	+	0.338225i
$859$	7.74272			0.264178			0.132089	−	0.991238i	$-0.457832\pi$
$859$	7.74272			0.264178			0.132089	+	0.991238i	$0.457832\pi$
$860$	−1.23462	−	7.79509i	−0.0421002	−	0.265810i
$861$	−7.52214	+	23.1508i	−0.256354	+	0.788976i
$862$	−62.6255	+	20.3483i	−2.13303	+	0.693064i
$863$	4.68818	−	29.6000i	0.159587	−	1.00760i	−0.769745	−	0.638351i	$-0.779617\pi$
$863$	4.68818	−	29.6000i	0.159587	−	1.00760i	0.929333	−	0.369244i	$-0.120383\pi$
$864$	−5.47158	−	0.866613i	−0.186147	−	0.0294828i
$865$	11.4009	+	5.80906i	0.387643	+	0.197514i
$866$	5.79613	+	11.3755i	0.196961	+	0.386557i
$867$	−13.5397	−	9.83717i	−0.459832	−	0.334088i
$868$	31.7082			1.07625
$869$	−4.40716	−	12.7317i	−0.149503	−	0.431894i
$870$			12.7386i			0.431880i
$871$	16.6665	−	8.51723i	0.564724	−	0.288595i
$872$	8.18935	−	25.2042i	0.277327	−	0.853523i
$873$	−16.1003	−	8.20353i	−0.544914	−	0.277648i
$874$	−14.5153	+	10.5460i	−0.490986	+	0.356722i
$875$	28.8342	−	20.9493i	0.974775	−	0.708215i
$876$	0.571838	−	1.12230i	0.0193206	−	0.0379188i
$877$	−8.22158	+	4.18911i	−0.277623	+	0.141456i	−0.587259	−	0.809399i	$-0.699793\pi$
$877$	−8.22158	+	4.18911i	−0.277623	+	0.141456i	0.309636	+	0.950855i	$0.399793\pi$
$878$	−0.738024	−	4.65970i	−0.0249071	−	0.157257i
$879$	19.8941	−	19.8941i	0.671012	−	0.671012i
$880$	38.7159	+	5.37667i	1.30511	+	0.181248i
$881$			11.8989i			0.400883i	0.979706	+	0.200441i	$0.0642376\pi$
$881$			11.8989i			0.400883i	−0.979706	+	0.200441i	$0.935762\pi$
$882$	8.01386	−	1.26927i	0.269841	−	0.0427386i
$883$	20.1736	+	6.55481i	0.678897	+	0.220587i	0.628112	−	0.778123i	$-0.283828\pi$
$883$	20.1736	+	6.55481i	0.678897	+	0.220587i	0.0507847	+	0.998710i	$0.483828\pi$
$884$	−1.61916	+	1.17936i	−0.0544584	+	0.0396663i
$885$	−18.0869	+	13.1409i	−0.607984	+	0.441726i
$886$	−24.5512	−	3.88853i	−0.824815	−	0.130638i
$887$	−27.1363	+	8.81713i	−0.911149	+	0.296050i	−0.726831	−	0.686816i	$-0.759008\pi$
$887$	−27.1363	+	8.81713i	−0.911149	+	0.296050i	−0.184318	+	0.982867i	$0.559008\pi$
$888$	−0.516463	+	1.58951i	−0.0173314	+	0.0533405i
$889$	−53.3119	+	8.44377i	−1.78802	+	0.283195i
$890$	−4.54808	−	4.54808i	−0.152452	−	0.152452i
$891$	3.17328	+	0.964504i	0.106309	+	0.0323121i
$892$	−9.06952	−	9.06952i	−0.303670	−	0.303670i
$893$	3.98180	−	5.48048i	0.133246	−	0.183397i
$894$	11.7387	+	3.81412i	0.392600	+	0.127563i
$895$	−18.7118	+	36.7240i	−0.625466	+	1.22755i
$896$	−23.1251	−	31.8290i	−0.772556	−	1.06333i
$897$	3.95677	+	2.86752i	0.132113	+	0.0957436i
$898$	−46.3500	+	15.0600i	−1.54672	+	0.502560i
$899$	−23.5660	+	12.0075i	−0.785970	+	0.400472i
$900$	−0.499008	−	0.362550i	−0.0166336	−	0.0120850i
$901$	−6.39958			−0.213201
$902$	41.5619	−	0.793396i	1.38386	−	0.0264172i
$903$	7.45509	−	7.45509i	0.248090	−	0.248090i
$904$	−22.4662	+	3.55829i	−0.747214	+	0.118347i
$905$	−45.2136	+	23.0375i	−1.50295	+	0.765792i
$906$	6.71377	+	20.6629i	0.223050	+	0.686478i
$907$	−22.2253	−	30.5905i	−0.737980	−	1.01574i	−0.998732	−	0.0503362i	$-0.983971\pi$
$907$	−22.2253	−	30.5905i	−0.737980	−	1.01574i	0.260753	−	0.965406i	$-0.416029\pi$
$908$	−0.497861	+	3.14337i	−0.0165221	+	0.104316i
$909$	0.747562	+	2.30076i	0.0247951	+	0.0763113i
$910$	36.0523	+	35.9659i	1.19512	+	1.19226i
$911$	23.5822	+	17.1335i	0.781313	+	0.567657i	0.905373	−	0.424618i	$-0.139592\pi$
$911$	23.5822	+	17.1335i	0.781313	+	0.567657i	−0.124060	+	0.992275i	$0.539592\pi$
$912$	26.6287	+	26.6287i	0.881764	+	0.881764i
$913$	1.10283	−	1.14576i	0.0364985	−	0.0379191i
$914$		−	55.9236i		−	1.84979i
$915$	3.24154	+	20.4663i	0.107162	+	0.676595i
$916$	−10.6545	−	20.9106i	−0.352033	−	0.690904i
$917$	0.507944	−	0.996897i	0.0167738	−	0.0329204i
$918$	0.890823	+	0.141093i	0.0294016	+	0.00465675i
$919$	15.5550	+	21.4096i	0.513111	+	0.706236i	0.984440	−	0.175721i	$-0.0562257\pi$
$919$	15.5550	+	21.4096i	0.513111	+	0.706236i	−0.471329	+	0.881957i	$0.656226\pi$
$920$	−1.59410	−	4.90612i	−0.0525558	−	0.161750i
$921$	10.5364	+	20.6788i	0.347185	+	0.681388i
$922$	−12.7010	+	17.4814i	−0.418284	+	0.575719i
$923$	16.9889	−	33.4417i	0.559196	−	1.10075i
$924$	−5.75728	−	10.7853i	−0.189401	−	0.354811i
$925$	−0.418028	+	0.418028i	−0.0137447	+	0.0137447i
$926$	−13.9584	+	19.2121i	−0.458703	+	0.631350i
$927$	−5.73511	−	1.86345i	−0.188366	−	0.0612037i
$928$	−15.1770	−	7.73307i	−0.498210	−	0.253851i
$929$	4.14959	−	26.1995i	0.136144	−	0.859577i	−0.821203	−	0.570636i	$-0.806697\pi$
$929$	4.14959	−	26.1995i	0.136144	−	0.859577i	0.957347	−	0.288941i	$-0.0933032\pi$
$930$	5.57487	−	35.1983i	0.182807	−	1.15420i
$931$	−31.0604	−	15.8261i	−1.01796	−	0.518678i
$932$	−6.58536	−	2.13971i	−0.215711	−	0.0700886i
$933$	−15.7630	+	21.6959i	−0.516057	+	0.710292i
$934$	29.0924	−	29.0924i	0.951931	−	0.951931i
$935$	−3.98382	−	0.553254i	−0.130285	−	0.0180933i
$936$	2.63358	−	5.18407i	0.0860814	−	0.169447i
$937$	14.3587	−	19.7630i	0.469077	−	0.645629i	−0.507283	−	0.861780i	$-0.669350\pi$
$937$	14.3587	−	19.7630i	0.469077	−	0.645629i	0.976360	+	0.216150i	$0.0693501\pi$
$938$	14.1032	+	27.6790i	0.460484	+	0.903751i
$939$	−6.66414	−	20.5101i	−0.217476	−	0.669323i
$940$	−1.34738	−	1.85451i	−0.0439467	−	0.0604874i
$941$	−0.544613	−	0.0862582i	−0.0177539	−	0.00281194i	0.147551	−	0.989054i	$-0.452861\pi$
$941$	−0.544613	−	0.0862582i	−0.0177539	−	0.00281194i	−0.165305	+	0.986242i	$0.552861\pi$
$942$	−6.90678	+	13.5553i	−0.225035	+	0.441656i
$943$	−4.39333	−	8.62239i	−0.143066	−	0.280784i
$944$	−7.39928	−	46.7172i	−0.240826	−	1.52052i
$945$		−	8.04620i		−	0.261743i
$946$	−16.1953	−	7.86624i	−0.526554	−	0.255754i
$947$	−34.8247	−	34.8247i	−1.13165	−	1.13165i	−0.989903	−	0.141746i	$-0.954728\pi$
$947$	−34.8247	−	34.8247i	−1.13165	−	1.13165i	−0.141746	−	0.989903i	$-0.545272\pi$
$948$	−3.55350	−	2.58177i	−0.115412	−	0.0838520i
$949$	2.97351	+	2.96638i	0.0965243	+	0.0962929i
$950$	2.33363	+	7.18217i	0.0757129	+	0.233020i
$951$	−4.87860	+	30.8023i	−0.158200	+	0.998833i
$952$	1.66045	+	2.28541i	0.0538153	+	0.0740705i
$953$	−3.31282	−	10.1958i	−0.107313	−	0.330275i	0.882953	−	0.469461i	$-0.155552\pi$
$953$	−3.31282	−	10.1958i	−0.107313	−	0.330275i	−0.990266	+	0.139185i	$0.955552\pi$
$954$	−19.4801	+	9.92558i	−0.630690	+	0.321353i
$955$	−40.0722	+	6.34681i	−1.29671	+	0.205378i
$956$	−13.1139	+	13.1139i	−0.424135	+	0.424135i
$957$	8.36314	+	5.83560i	0.270342	+	0.188638i
$958$	48.7073			1.57366
$959$	7.04092	+	5.11552i	0.227363	+	0.165189i
$960$	−0.552042	+	0.281280i	−0.0178171	+	0.00907826i
$961$	40.8877	−	13.2852i	1.31896	−	0.428556i
$962$	5.31100	+	3.84894i	0.171234	+	0.124095i
$963$	9.52914	+	13.1157i	0.307072	+	0.422649i
$964$	3.22977	−	6.33878i	0.104024	−	0.204158i
$965$	−45.7284	−	14.8581i	−1.47205	−	0.478298i
$966$	−4.76720	+	6.56148i	−0.153382	+	0.211112i
$967$	19.5321	+	19.5321i	0.628110	+	0.628110i	0.947592	−	0.319482i	$-0.103509\pi$
$967$	19.5321	+	19.5321i	0.628110	+	0.628110i	−0.319482	+	0.947592i	$0.603509\pi$
$968$	12.0560	−	13.0134i	0.387494	−	0.418268i
$969$	−2.74006	−	2.74006i	−0.0880235	−	0.0880235i
$970$	73.9408	−	11.7111i	2.37409	−	0.376020i
$971$	−1.33257	+	4.10121i	−0.0427641	+	0.131614i	−0.970159	−	0.242469i	$-0.922043\pi$
$971$	−1.33257	+	4.10121i	−0.0427641	+	0.131614i	0.927395	+	0.374083i	$0.122043\pi$
$972$	1.02835	−	0.334131i	0.0329843	−	0.0107172i
$973$	37.5726	+	5.95091i	1.20452	+	0.190778i
$974$	19.7957	−	14.3824i	0.634296	−	0.460843i
$975$	1.66252	−	1.21094i	0.0532432	−	0.0387811i
$976$	−41.6943	−	13.5473i	−1.33460	−	0.433638i
$977$	54.4555	−	8.62490i	1.74218	−	0.275935i	0.797358	−	0.603507i	$-0.206230\pi$
$977$	54.4555	−	8.62490i	1.74218	−	0.275935i	0.944826	+	0.327572i	$0.106230\pi$
$978$		−	15.6069i		−	0.499053i
$979$	−5.06938	+	0.902412i	−0.162018	+	0.0288412i
$980$	−8.34105	+	8.34105i	−0.266445	+	0.266445i
$981$	2.57067	+	16.2306i	0.0820752	+	0.518203i
$982$	−48.7179	+	24.8230i	−1.55465	+	0.792134i
$983$	−4.77132	+	9.36424i	−0.152182	+	0.298673i	−0.954493	−	0.298232i	$-0.903603\pi$
$983$	−4.77132	+	9.36424i	−0.152182	+	0.298673i	0.802312	+	0.596905i	$0.203603\pi$
$984$	−9.31588	+	6.76838i	−0.296979	+	0.215768i
$985$	−22.2393	+	16.1578i	−0.708602	+	0.514829i
$986$	2.47096	+	1.25902i	0.0786913	+	0.0400952i
$987$	0.946282	−	2.91236i	0.0301205	−	0.0927013i
$988$	26.1812	−	13.3796i	0.832934	−	0.425661i
$989$			4.19137i			0.133278i
$990$	−12.9847	+	4.49473i	−0.412680	+	0.142852i
$991$	−11.3726			−0.361262			−0.180631	−	0.983551i	$-0.557814\pi$
$991$	−11.3726			−0.361262			−0.180631	+	0.983551i	$0.557814\pi$
$992$	38.5516	+	28.0094i	1.22401	+	0.889299i
$993$	3.62444	+	7.11336i	0.115018	+	0.225736i
$994$	55.4705	+	28.2636i	1.75942	+	0.896468i
$995$	64.7698	+	10.2585i	2.05334	+	0.325217i
$996$	0.0811045	−	0.512074i	0.00256990	−	0.0162257i
$997$	−50.2342	+	16.3221i	−1.59093	+	0.516926i	−0.964844	−	0.262824i	$-0.915346\pi$
$997$	−50.2342	+	16.3221i	−1.59093	+	0.516926i	−0.626091	+	0.779750i	$0.715346\pi$
$998$	18.9645	−	58.3669i	0.600312	−	1.84757i
$999$	−0.162120	−	1.02359i	−0.00512925	−	0.0323848i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.b.304.11	yes	112
11.8	odd	10	inner	429.2.bj.b.382.4	yes	112
13.8	odd	4	inner	429.2.bj.b.73.4	✓	112
143.8	even	20	inner	429.2.bj.b.151.11	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.b.73.4	✓	112	13.8	odd	4	inner
429.2.bj.b.151.11	yes	112	143.8	even	20	inner
429.2.bj.b.304.11	yes	112	1.1	even	1	trivial
429.2.bj.b.382.4	yes	112	11.8	odd	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.274598 + 1.73374i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.02835 + 0.334131i) q^{4} +(0.369213 - 2.33112i) q^{5} +(-1.73374 - 0.274598i) q^{6} +(3.03757 + 1.54772i) q^{7} +(0.732150 + 1.43692i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(0.274598 + 1.73374i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.02835 + 0.334131i) q^{4} +(0.369213 - 2.33112i) q^{5} +(-1.73374 - 0.274598i) q^{6} +(3.03757 + 1.54772i) q^{7} +(0.732150 + 1.43692i) q^{8} +(-0.809017 - 0.587785i) q^{9} +4.14295 q^{10} +(1.89790 - 2.71992i) q^{11} -1.08127i q^{12} +(3.43042 + 1.11006i) q^{13} +(-1.84924 + 5.69137i) q^{14} +(2.10294 + 1.07150i) q^{15} +(-4.03974 + 2.93504i) q^{16} +(0.415685 - 0.302013i) q^{17} +(0.796914 - 1.56403i) q^{18} +(-6.71970 + 3.42386i) q^{19} +(0.399219 + 2.52057i) q^{20} +(-2.41063 + 2.41063i) q^{21} +(5.23681 + 2.54358i) q^{22} -1.35529i q^{23} +(-1.59284 + 0.252282i) q^{24} +(-0.542528 - 0.176278i) q^{25} +(-0.982575 + 6.25228i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-3.64082 - 0.576650i) q^{28} +(2.92428 - 0.950156i) q^{29} +(-1.28024 + 3.94018i) q^{30} +(-8.49595 + 1.34563i) q^{31} +(-3.91722 - 3.91722i) q^{32} +(2.00032 + 2.64551i) q^{33} +(0.637759 + 0.637759i) q^{34} +(4.72944 - 6.50951i) q^{35} +(1.02835 + 0.334131i) q^{36} +(0.470491 - 0.923390i) q^{37} +(-7.78130 - 10.7100i) q^{38} +(-2.11579 + 2.91949i) q^{39} +(3.61997 - 1.17620i) q^{40} +(6.36200 - 3.24160i) q^{41} +(-4.84137 - 3.51746i) q^{42} -3.09259 q^{43} +(-1.04289 + 3.43117i) q^{44} +(-1.66890 + 1.66890i) q^{45} +(2.34973 - 0.372161i) q^{46} +(-0.800338 + 0.407792i) q^{47} +(-1.54304 - 4.74900i) q^{48} +(2.71691 + 3.73951i) q^{49} +(0.156644 - 0.989010i) q^{50} +(0.158778 + 0.488667i) q^{51} +(-3.89857 + 0.00467826i) q^{52} +(-10.0763 - 7.32088i) q^{53} +(1.24122 + 1.24122i) q^{54} +(-5.63975 - 5.42846i) q^{55} +5.49793i q^{56} +(-1.17978 - 7.44884i) q^{57} +(2.45033 + 4.80904i) q^{58} +(-4.30039 + 8.44000i) q^{59} +(-2.52057 - 0.399219i) q^{60} +(5.16051 + 7.10284i) q^{61} +(-4.66594 - 14.3603i) q^{62} +(-1.54772 - 3.03757i) q^{63} +(-0.154300 + 0.212375i) q^{64} +(3.85424 - 7.58687i) q^{65} +(-4.03735 + 4.19449i) q^{66} +(3.67066 - 3.67066i) q^{67} +(-0.326557 + 0.449468i) q^{68} +(1.28896 + 0.418809i) q^{69} +(12.5845 + 6.41213i) q^{70} +(1.62743 - 10.2752i) q^{71} +(0.252282 - 1.59284i) q^{72} +(1.03794 + 0.528858i) q^{73} +(1.73012 + 0.562149i) q^{74} +(0.335301 - 0.461502i) q^{75} +(5.76617 - 5.76617i) q^{76} +(9.97468 - 5.32456i) q^{77} +(-5.64264 - 2.86655i) q^{78} +(2.38772 - 3.28642i) q^{79} +(5.35042 + 10.5008i) q^{80} +(0.309017 + 0.951057i) q^{81} +(7.36710 + 10.1399i) q^{82} +(0.473586 + 0.0750086i) q^{83} +(1.67350 - 3.28443i) q^{84} +(-0.550552 - 1.08052i) q^{85} +(-0.849218 - 5.36175i) q^{86} +3.07477i q^{87} +(5.29787 + 0.735742i) q^{88} +(-1.09779 - 1.09779i) q^{89} +(-3.35172 - 2.43517i) q^{90} +(8.70208 + 8.68122i) q^{91} +(0.452845 + 1.39371i) q^{92} +(1.34563 - 8.49595i) q^{93} +(-0.926778 - 1.27560i) q^{94} +(5.50043 + 16.9286i) q^{95} +(4.93598 - 2.51501i) q^{96} +(17.8474 - 2.82674i) q^{97} +(-5.73729 + 5.73729i) q^{98} +(-3.13416 + 1.08491i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Introduction

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