LMFDB - Embedded newform 252.2.bb.a.11.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(11,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 4]))

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

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

chi := DirichletCharacter("252.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bb (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.19
Character	$\chi$	$=$	252.11
Dual form			252.2.bb.a.23.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.298214 - 1.38241i) q^{2} +(0.829150 - 1.52069i) q^{3} +(-1.82214 + 0.824510i) q^{4} +(2.82413 + 1.63051i) q^{5} +(-2.34949 - 0.692737i) q^{6} +(2.14986 - 1.54211i) q^{7} +(1.68320 + 2.27307i) q^{8} +(-1.62502 - 2.52177i) q^{9} +O(q^{10})$	\(q+(-0.298214 - 1.38241i) q^{2} +(0.829150 - 1.52069i) q^{3} +(-1.82214 + 0.824510i) q^{4} +(2.82413 + 1.63051i) q^{5} +(-2.34949 - 0.692737i) q^{6} +(2.14986 - 1.54211i) q^{7} +(1.68320 + 2.27307i) q^{8} +(-1.62502 - 2.52177i) q^{9} +(1.41185 - 4.39036i) q^{10} +(-1.74511 - 3.02263i) q^{11} +(-0.256998 + 3.45456i) q^{12} +(2.49315 + 4.31827i) q^{13} +(-2.77295 - 2.51212i) q^{14} +(4.82114 - 2.94270i) q^{15} +(2.64037 - 3.00474i) q^{16} +(-1.85883 - 1.07319i) q^{17} +(-3.00152 + 2.99848i) q^{18} +(-4.57306 + 2.64026i) q^{19} +(-6.49032 - 0.642493i) q^{20} +(-0.562518 - 4.54792i) q^{21} +(-3.65810 + 3.31386i) q^{22} +(-0.347811 + 0.602427i) q^{23} +(4.85227 - 0.674918i) q^{24} +(2.81714 + 4.87942i) q^{25} +(5.22614 - 4.73434i) q^{26} +(-5.18222 + 0.380233i) q^{27} +(-2.64586 + 4.58252i) q^{28} +(-6.28645 - 3.62948i) q^{29} +(-5.50575 - 5.78725i) q^{30} +3.81153i q^{31} +(-4.94119 - 2.75402i) q^{32} +(-6.04345 + 0.147573i) q^{33} +(-0.929271 + 2.88971i) q^{34} +(8.58591 - 0.849742i) q^{35} +(5.04023 + 3.25516i) q^{36} +(3.22871 + 5.59229i) q^{37} +(5.01367 + 5.53450i) q^{38} +(8.63396 - 0.210830i) q^{39} +(1.04731 + 9.16391i) q^{40} +(-0.0132552 + 0.00765288i) q^{41} +(-6.11936 + 2.13389i) q^{42} +(1.45919 + 0.842461i) q^{43} +(5.67202 + 4.06877i) q^{44} +(-0.477494 - 9.77141i) q^{45} +(0.936526 + 0.301167i) q^{46} +5.51987 q^{47} +(-2.38003 - 6.50657i) q^{48} +(2.24380 - 6.63064i) q^{49} +(5.90527 - 5.34956i) q^{50} +(-3.17325 + 1.93687i) q^{51} +(-8.10332 - 5.81284i) q^{52} +(-2.31470 - 1.33639i) q^{53} +(2.07105 + 7.05059i) q^{54} -11.3817i q^{55} +(7.12396 + 2.29110i) q^{56} +(0.223269 + 9.14339i) q^{57} +(-3.14274 + 9.77283i) q^{58} +6.67359 q^{59} +(-6.35849 + 9.33707i) q^{60} +8.82482 q^{61} +(5.26911 - 1.13665i) q^{62} +(-7.38241 - 2.91549i) q^{63} +(-2.33367 + 7.65206i) q^{64} +16.2605i q^{65} +(2.00625 + 8.31054i) q^{66} +0.864985i q^{67} +(4.27190 + 0.422886i) q^{68} +(0.627719 + 1.02842i) q^{69} +(-3.73513 - 11.6159i) q^{70} -11.9340 q^{71} +(2.99691 - 7.93842i) q^{72} +(0.923127 - 1.59890i) q^{73} +(6.76802 - 6.13112i) q^{74} +(9.75594 - 0.238227i) q^{75} +(6.15582 - 8.58144i) q^{76} +(-8.41297 - 3.80707i) q^{77} +(-2.86622 - 11.8728i) q^{78} +13.9307i q^{79} +(12.3560 - 4.18063i) q^{80} +(-3.71862 + 8.19584i) q^{81} +(0.0145323 + 0.0160420i) q^{82} +(-5.24458 + 9.08388i) q^{83} +(4.77479 + 7.82313i) q^{84} +(-3.49971 - 6.06168i) q^{85} +(0.729481 - 2.26843i) q^{86} +(-10.7317 + 6.55037i) q^{87} +(3.93326 - 9.05445i) q^{88} +(-3.53619 + 2.04162i) q^{89} +(-13.3657 + 3.57406i) q^{90} +(12.0192 + 5.43896i) q^{91} +(0.137053 - 1.38448i) q^{92} +(5.79616 + 3.16033i) q^{93} +(-1.64610 - 7.63075i) q^{94} -17.2199 q^{95} +(-8.28502 + 5.23054i) q^{96} +(3.33413 - 5.77488i) q^{97} +(-9.83542 - 1.12451i) q^{98} +(-4.78652 + 9.31260i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−0.298214	−	1.38241i	−0.210869	−	0.977514i
$2$	−0.298214	−	1.38241i	−0.210869	−	0.977514i
$3$	0.829150	−	1.52069i	0.478710	−	0.877973i
$3$	0.829150	−	1.52069i	0.478710	−	0.877973i
$4$	−1.82214	+	0.824510i	−0.911069	+	0.412255i
$5$	2.82413	+	1.63051i	1.26299	+	0.729187i	0.973652	−	0.228040i	$-0.0732318\pi$
$5$	2.82413	+	1.63051i	1.26299	+	0.729187i	0.289337	+	0.957227i	$0.406565\pi$
$6$	−2.34949	−	0.692737i	−0.959176	−	0.282809i
$7$	2.14986	−	1.54211i	0.812571	−	0.582862i
$7$	2.14986	−	1.54211i	0.812571	−	0.582862i
$8$	1.68320	+	2.27307i	0.595101	+	0.803651i
$9$	−1.62502	−	2.52177i	−0.541673	−	0.840589i
$10$	1.41185	−	4.39036i	0.446465	−	1.38835i
$11$	−1.74511	−	3.02263i	−0.526172	−	0.911356i	−0.999535	−	0.0304888i	$-0.990294\pi$
$11$	−1.74511	−	3.02263i	−0.526172	−	0.911356i	0.473363	−	0.880867i	$-0.343040\pi$
$12$	−0.256998	+	3.45456i	−0.0741890	+	0.997244i
$13$	2.49315	+	4.31827i	0.691476	+	1.19767i	0.971354	+	0.237636i	$0.0763725\pi$
$13$	2.49315	+	4.31827i	0.691476	+	1.19767i	−0.279878	+	0.960035i	$0.590294\pi$
$14$	−2.77295	−	2.51212i	−0.741102	−	0.671392i
$15$	4.82114	−	2.94270i	1.24481	−	0.759801i
$16$	2.64037	−	3.00474i	0.660092	−	0.751185i
$17$	−1.85883	−	1.07319i	−0.450832	−	0.260288i	0.257350	−	0.966318i	$-0.417151\pi$
$17$	−1.85883	−	1.07319i	−0.450832	−	0.260288i	−0.708181	+	0.706031i	$0.750484\pi$
$18$	−3.00152	+	2.99848i	−0.707466	+	0.706748i
$19$	−4.57306	+	2.64026i	−1.04913	+	0.605716i	−0.922406	−	0.386222i	$-0.873780\pi$
$19$	−4.57306	+	2.64026i	−1.04913	+	0.605716i	−0.126725	+	0.991938i	$0.540447\pi$
$20$	−6.49032	−	0.642493i	−1.45128	−	0.143666i
$21$	−0.562518	−	4.54792i	−0.122752	−	0.992437i
$22$	−3.65810	+	3.31386i	−0.779910	+	0.706517i
$23$	−0.347811	+	0.602427i	−0.0725237	+	0.125615i	−0.900007	−	0.435876i	$-0.856439\pi$
$23$	−0.347811	+	0.602427i	−0.0725237	+	0.125615i	0.827483	+	0.561491i	$0.189772\pi$
$24$	4.85227	−	0.674918i	0.990465	−	0.137767i
$25$	2.81714	+	4.87942i	0.563427	+	0.975885i
$26$	5.22614	−	4.73434i	1.02493	−	0.928479i
$27$	−5.18222	+	0.380233i	−0.997319	+	0.0731759i
$28$	−2.64586	+	4.58252i	−0.500020	+	0.866014i
$29$	−6.28645	−	3.62948i	−1.16736	−	0.673978i	−0.214306	−	0.976767i	$-0.568749\pi$
$29$	−6.28645	−	3.62948i	−1.16736	−	0.673978i	−0.953058	+	0.302789i	$0.902082\pi$
$30$	−5.50575	−	5.78725i	−1.00521	−	1.05660i
$31$			3.81153i			0.684570i	0.939596	+	0.342285i	$0.111201\pi$
$31$			3.81153i			0.684570i	−0.939596	+	0.342285i	$0.888799\pi$
$32$	−4.94119	−	2.75402i	−0.873487	−	0.486847i
$33$	−6.04345	+	0.147573i	−1.05203	+	0.0256891i
$34$	−0.929271	+	2.88971i	−0.159369	+	0.495581i
$35$	8.58591	−	0.849742i	1.45128	−	0.143633i
$36$	5.04023	+	3.25516i	0.840038	+	0.542527i
$37$	3.22871	+	5.59229i	0.530797	+	0.919368i	0.999354	+	0.0359344i	$0.0114407\pi$
$37$	3.22871	+	5.59229i	0.530797	+	0.919368i	−0.468557	+	0.883433i	$0.655226\pi$
$38$	5.01367	+	5.53450i	0.813325	+	0.897814i
$39$	8.63396	−	0.210830i	1.38254	−	0.0337597i
$40$	1.04731	+	9.16391i	0.165595	+	1.44894i
$41$	−0.0132552	+	0.00765288i	−0.00207011	+	0.00119518i	−0.501035	−	0.865427i	$-0.667047\pi$
$41$	−0.0132552	+	0.00765288i	−0.00207011	+	0.00119518i	0.498965	+	0.866622i	$0.333714\pi$
$42$	−6.11936	+	2.13389i	−0.944237	+	0.329266i
$43$	1.45919	+	0.842461i	0.222524	+	0.128474i	0.607118	−	0.794611i	$-0.292325\pi$
$43$	1.45919	+	0.842461i	0.222524	+	0.128474i	−0.384595	+	0.923086i	$0.625659\pi$
$44$	5.67202	+	4.06877i	0.855089	+	0.613391i
$45$	−0.477494	−	9.77141i	−0.0711806	−	1.45664i
$46$	0.936526	+	0.301167i	0.138083	+	0.0444047i
$47$	5.51987			0.805156			0.402578	−	0.915386i	$-0.368114\pi$
$47$	5.51987			0.805156			0.402578	+	0.915386i	$0.368114\pi$
$48$	−2.38003	−	6.50657i	−0.343528	−	0.939143i
$49$	2.24380	−	6.63064i	0.320543	−	0.947234i
$50$	5.90527	−	5.34956i	0.835132	−	0.756542i
$51$	−3.17325	+	1.93687i	−0.444343	+	0.271216i
$52$	−8.10332	−	5.81284i	−1.12373	−	0.806096i
$53$	−2.31470	−	1.33639i	−0.317949	−	0.183568i	0.332529	−	0.943093i	$-0.392098\pi$
$53$	−2.31470	−	1.33639i	−0.317949	−	0.183568i	−0.650478	+	0.759525i	$0.725431\pi$
$54$	2.07105	+	7.05059i	0.281834	+	0.959463i
$55$		−	11.3817i		−	1.53471i
$56$	7.12396	+	2.29110i	0.951980	+	0.306161i
$57$	0.223269	+	9.14339i	0.0295727	+	1.21107i
$58$	−3.14274	+	9.77283i	−0.412662	+	1.28324i
$59$	6.67359			0.868828			0.434414	−	0.900713i	$-0.356956\pi$
$59$	6.67359			0.868828			0.434414	+	0.900713i	$0.356956\pi$
$60$	−6.35849	+	9.33707i	−0.820877	+	1.20541i
$61$	8.82482			1.12990			0.564951	−	0.825124i	$-0.308895\pi$
$61$	8.82482			1.12990			0.564951	+	0.825124i	$0.308895\pi$
$62$	5.26911	−	1.13665i	0.669177	−	0.144355i
$63$	−7.38241	−	2.91549i	−0.930096	−	0.367317i
$64$	−2.33367	+	7.65206i	−0.291709	+	0.956507i
$65$			16.2605i			2.01686i
$66$	2.00625	+	8.31054i	0.246952	+	1.02296i
$67$			0.864985i			0.105675i	0.998603	+	0.0528374i	$0.0168265\pi$
$67$			0.864985i			0.105675i	−0.998603	+	0.0528374i	$0.983174\pi$
$68$	4.27190	+	0.422886i	0.518044	+	0.0512824i
$69$	0.627719	+	1.02842i	0.0755685	+	0.123807i
$70$	−3.73513	−	11.6159i	−0.446434	−	1.38836i
$71$	−11.9340			−1.41631			−0.708155	−	0.706057i	$-0.750472\pi$
$71$	−11.9340			−1.41631			−0.708155	+	0.706057i	$0.750472\pi$
$72$	2.99691	−	7.93842i	0.353190	−	0.935552i
$73$	0.923127	−	1.59890i	0.108044	−	0.187137i	−0.806934	−	0.590642i	$-0.798875\pi$
$73$	0.923127	−	1.59890i	0.108044	−	0.187137i	0.914978	+	0.403504i	$0.132208\pi$
$74$	6.76802	−	6.13112i	0.786766	−	0.712728i
$75$	9.75594	−	0.238227i	1.12652	−	0.0275081i
$76$	6.15582	−	8.58144i	0.706121	−	0.984358i
$77$	−8.41297	−	3.80707i	−0.958747	−	0.433856i
$78$	−2.86622	−	11.8728i	−0.324535	−	1.34433i
$79$			13.9307i			1.56732i	0.621188	+	0.783662i	$0.286650\pi$
$79$			13.9307i			1.56732i	−0.621188	+	0.783662i	$0.713350\pi$
$80$	12.3560	−	4.18063i	1.38144	−	0.467408i
$81$	−3.71862	+	8.19584i	−0.413180	+	0.910649i
$82$	0.0145323	+	0.0160420i	0.00160483	+	0.00177154i
$83$	−5.24458	+	9.08388i	−0.575667	+	0.997085i	0.420301	+	0.907385i	$0.361924\pi$
$83$	−5.24458	+	9.08388i	−0.575667	+	0.997085i	−0.995969	+	0.0897007i	$0.971409\pi$
$84$	4.77479	+	7.82313i	0.520972	+	0.853574i
$85$	−3.49971	−	6.06168i	−0.379597	−	0.657481i
$86$	0.729481	−	2.26843i	0.0786619	−	0.244611i
$87$	−10.7317	+	6.55037i	−1.15056	+	0.702274i
$88$	3.93326	−	9.05445i	0.419287	−	0.965207i
$89$	−3.53619	+	2.04162i	−0.374836	+	0.216412i	−0.675569	−	0.737297i	$-0.736102\pi$
$89$	−3.53619	+	2.04162i	−0.374836	+	0.216412i	0.300733	+	0.953708i	$0.402769\pi$
$90$	−13.3657	+	3.57406i	−1.40887	+	0.376739i
$91$	12.0192	+	5.43896i	1.25995	+	0.570158i
$92$	0.137053	−	1.38448i	0.0142888	−	0.144342i
$93$	5.79616	+	3.16033i	0.601034	+	0.327711i
$94$	−1.64610	−	7.63075i	−0.169782	−	0.787052i
$95$	−17.2199			−1.76672
$96$	−8.28502	+	5.23054i	−0.845586	+	0.533839i
$97$	3.33413	−	5.77488i	0.338529	−	0.586350i	−0.645627	−	0.763653i	$-0.723404\pi$
$97$	3.33413	−	5.77488i	0.338529	−	0.586350i	0.984156	+	0.177303i	$0.0567372\pi$
$98$	−9.83542	−	1.12451i	−0.993527	−	0.113593i
$99$	−4.78652	+	9.31260i	−0.481063	+	0.935951i
$100$	−9.15634	−	6.56822i	−0.915634	−	0.656822i
$101$	2.53905	−	1.46592i	0.252645	−	0.145865i	−0.368330	−	0.929695i	$-0.620070\pi$
$101$	2.53905	−	1.46592i	0.252645	−	0.145865i	0.620975	+	0.783831i	$0.286737\pi$
$102$	3.62386	+	3.80914i	0.358815	+	0.377161i
$103$	−14.6169	−	8.43905i	−1.44024	−	0.831524i	−0.442377	−	0.896829i	$-0.645865\pi$
$103$	−14.6169	−	8.43905i	−1.44024	−	0.831524i	−0.997865	+	0.0653052i	$0.979198\pi$
$104$	−5.61924	+	12.9356i	−0.551011	+	1.26844i
$105$	5.82681	−	13.7611i	0.568639	−	1.34295i
$106$	−1.15717	+	3.59841i	−0.112395	+	0.349508i
$107$	1.63897	+	2.83878i	0.158445	+	0.274435i	0.934308	−	0.356466i	$-0.116018\pi$
$107$	1.63897	+	2.83878i	0.158445	+	0.274435i	−0.775863	+	0.630902i	$0.782685\pi$
$108$	9.12921	−	4.96563i	0.878459	−	0.477818i
$109$	−5.12322	+	8.87368i	−0.490716	+	0.849944i	−0.999943	−	0.0106878i	$-0.996598\pi$
$109$	−5.12322	+	8.87368i	−0.490716	+	0.849944i	0.509227	+	0.860632i	$0.329931\pi$
$110$	−15.7342	+	3.39418i	−1.50020	+	0.323623i
$111$	11.1813	−	0.273031i	1.06128	−	0.0259150i
$112$	1.04278	−	10.5315i	0.0985337	−	0.995134i
$113$	12.0033	−	6.93010i	1.12917	−	0.651929i	0.185447	−	0.982654i	$-0.440627\pi$
$113$	12.0033	−	6.93010i	1.12917	−	0.651929i	0.943727	+	0.330725i	$0.107293\pi$
$114$	12.5734	−	3.03533i	1.17760	−	0.284285i
$115$	−1.96453	+	1.13422i	−0.183193	+	0.105767i
$116$	14.4473	+	1.43017i	1.34140	+	0.132788i
$117$	6.83824	−	13.3044i	0.632196	−	1.22999i
$118$	−1.99016	−	9.22567i	−0.183209	−	0.849292i
$119$	−5.65120	+	0.559296i	−0.518045	+	0.0512706i
$120$	14.8039	+	6.00562i	1.35140	+	0.548236i
$121$	−0.590845	+	1.02337i	−0.0537132	+	0.0930340i
$122$	−2.63168	−	12.1996i	−0.238261	−	1.10450i
$123$	0.000647154		0.0265025i	5.83519e−5		0.00238965i
$124$	−3.14264	−	6.94512i	−0.282218	−	0.623691i
$125$			2.06838i			0.185002i
$126$	−1.82888	+	11.0750i	−0.162930	+	0.986638i
$127$		−	9.18473i		−	0.815013i	−0.913202	−	0.407506i	$-0.866398\pi$
$127$		−	9.18473i		−	0.815013i	0.913202	−	0.407506i	$-0.133602\pi$
$128$	11.2742	+	0.944151i	0.996512	+	0.0834520i
$129$	2.49101	−	1.52045i	0.219321	−	0.133868i
$130$	22.4787	−	4.84909i	1.97151	−	0.425294i
$131$	3.91405	−	6.77933i	0.341972	−	0.592313i	−0.642827	−	0.766011i	$-0.722239\pi$
$131$	3.91405	−	6.77933i	0.341972	−	0.592313i	0.984799	+	0.173699i	$0.0555719\pi$
$132$	10.8903	−	5.25178i	0.947881	−	0.457109i
$133$	−5.75987	+	12.7283i	−0.499444	+	1.10369i
$134$	1.19577	−	0.257951i	0.103299	−	0.0222835i
$135$	−15.2552	−	7.37585i	−1.31296	−	0.634812i
$136$	−0.689336	−	6.03164i	−0.0591100	−	0.517209i
$137$	−14.0462	+	8.10958i	−1.20005	+	0.692848i	−0.960566	−	0.278053i	$-0.910311\pi$
$137$	−14.0462	+	8.10958i	−1.20005	+	0.692848i	−0.239482	+	0.970901i	$0.576978\pi$
$138$	1.23450	−	1.17446i	0.105088	−	0.0999763i
$139$	−14.9152	+	8.61130i	−1.26509	+	0.730401i	−0.974055	−	0.226311i	$-0.927334\pi$
$139$	−14.9152	+	8.61130i	−1.26509	+	0.730401i	−0.291037	+	0.956712i	$0.594000\pi$
$140$	−14.9441	+	8.62752i	−1.26301	+	0.729158i
$141$	4.57680	−	8.39404i	0.385436	−	0.706905i
$142$	3.55890	+	16.4978i	0.298656	+	1.38446i
$143$	8.70167	−	15.0717i	0.727670	−	1.26036i
$144$	−11.8679	−	1.77563i	−0.988992	−	0.147969i
$145$	−11.8358	−	20.5002i	−0.982912	−	1.70245i
$146$	−2.48563	−	0.799329i	−0.205713	−	0.0661529i
$147$	−8.22272	−	8.90993i	−0.678199	−	0.734878i
$148$	−10.4941	−	7.52782i	−0.862606	−	0.618783i
$149$	−2.55393	−	1.47451i	−0.209226	−	0.120797i	0.391726	−	0.920082i	$-0.371878\pi$
$149$	−2.55393	−	1.47451i	−0.209226	−	0.120797i	−0.600952	+	0.799285i	$0.705212\pi$
$150$	−3.23868	−	13.4157i	−0.264437	−	1.09539i
$151$	1.66272	−	0.959970i	0.135310	−	0.0781212i	−0.430817	−	0.902439i	$-0.641775\pi$
$151$	1.66272	−	0.959970i	0.135310	−	0.0781212i	0.566127	+	0.824318i	$0.308441\pi$
$152$	−13.6988	−	5.95079i	−1.11112	−	0.482672i
$153$	0.314284	+	6.43149i	0.0254083	+	0.519955i
$154$	−2.75408	+	12.7655i	−0.221930	+	1.02868i
$155$	−6.21474	+	10.7642i	−0.499180	+	0.864605i
$156$	−15.5584	+	7.50294i	−1.24567	+	0.600716i
$157$	12.0539			0.962004			0.481002	−	0.876719i	$-0.340273\pi$
$157$	12.0539			0.962004			0.481002	+	0.876719i	$0.340273\pi$
$158$	19.2580	−	4.15432i	1.53208	−	0.330500i
$159$	−3.95148	+	2.41188i	−0.313373	+	0.191275i
$160$	−9.46409	−	15.8344i	−0.748202	−	1.25182i
$161$	0.181262	+	1.83150i	0.0142855	+	0.144342i
$162$	12.4390	+	2.69656i	0.977300	+	0.211862i
$163$	8.62872	−	4.98179i	0.675854	−	0.390204i	−0.122437	−	0.992476i	$-0.539071\pi$
$163$	8.62872	−	4.98179i	0.675854	−	0.390204i	0.798291	+	0.602272i	$0.205738\pi$
$164$	0.0178429	−	0.0248736i	0.00139329	−	0.00194230i
$165$	−17.3081	−	9.43715i	−1.34743	−	0.734681i
$166$	14.1217	+	4.54124i	1.09606	+	0.352469i
$167$	−5.09079	−	8.81751i	−0.393937	−	0.682319i	0.599028	−	0.800728i	$-0.295554\pi$
$167$	−5.09079	−	8.81751i	−0.393937	−	0.682319i	−0.992965	+	0.118409i	$0.962221\pi$
$168$	9.39090	−	8.93370i	0.724523	−	0.689250i
$169$	−5.93161	+	10.2739i	−0.456278	+	0.790297i
$170$	−7.33609	+	6.64573i	−0.562652	+	0.509704i
$171$	14.0894	+	7.24172i	1.07744	+	0.553788i
$172$	−3.35345	−	0.331967i	−0.255698	−	0.0253122i
$173$		−	11.5975i		−	0.881742i	−0.897570	−	0.440871i	$-0.854670\pi$
$173$		−	11.5975i		−	0.881742i	0.897570	−	0.440871i	$-0.145330\pi$
$174$	12.2557	+	12.8823i	0.929101	+	0.976604i
$175$	13.5811	+	6.14575i	1.02663	+	0.464575i
$176$	−13.6899	−	2.73723i	−1.03192	−	0.206326i
$177$	5.53341	−	10.1485i	0.415917	−	0.762807i
$178$	3.87691	+	4.27965i	0.290587	+	0.320773i
$179$	2.14749	−	3.71956i	0.160511	−	0.278013i	−0.774541	−	0.632524i	$-0.782019\pi$
$179$	2.14749	−	3.71956i	0.160511	−	0.278013i	0.935052	+	0.354511i	$0.115352\pi$
$180$	8.92668	+	17.4112i	0.665356	+	1.29775i
$181$	13.1272			0.975735			0.487867	−	0.872918i	$-0.337775\pi$
$181$	13.1272			0.975735			0.487867	+	0.872918i	$0.337775\pi$
$182$	3.93461	−	18.2374i	0.291653	−	1.35185i
$183$	7.31710	−	13.4199i	0.540896	−	0.992024i
$184$	−1.95479	+	0.223407i	−0.144109	+	0.0164698i
$185$			21.0578i			1.54820i
$186$	2.64039	−	8.95515i	0.193602	−	0.656624i
$187$			7.49138i			0.547824i
$188$	−10.0580	+	4.55119i	−0.733552	+	0.331930i
$189$	−10.5547	+	8.80900i	−0.767741	+	0.640760i
$190$	5.13520	+	23.8050i	0.372547	+	1.72700i
$191$	17.5277			1.26826			0.634131	−	0.773225i	$-0.281358\pi$
$191$	17.5277			1.26826			0.634131	+	0.773225i	$0.281358\pi$
$192$	9.70147	+	9.89351i	0.700143	+	0.714002i
$193$	−12.5667			−0.904570			−0.452285	−	0.891873i	$-0.649391\pi$
$193$	−12.5667			−0.904570			−0.452285	+	0.891873i	$0.649391\pi$
$194$	−8.97756	−	2.88700i	−0.644551	−	0.207274i
$195$	24.7272	+	13.4824i	1.77075	+	0.965492i
$196$	1.37852	+	13.9320i	0.0984655	+	0.995140i
$197$			15.0221i			1.07028i	0.844763	+	0.535141i	$0.179741\pi$
$197$			15.0221i			1.07028i	−0.844763	+	0.535141i	$0.820259\pi$
$198$	14.3013	+	3.83980i	1.01635	+	0.272883i
$199$	−17.6652	−	10.1990i	−1.25225	−	0.722987i	−0.280695	−	0.959797i	$-0.590565\pi$
$199$	−17.6652	−	10.1990i	−1.25225	−	0.722987i	−0.971556	+	0.236810i	$0.923898\pi$
$200$	−6.34945	+	14.6166i	−0.448974	+	1.03355i
$201$	1.31538	+	0.717203i	0.0927796	+	0.0505876i
$202$	−2.78369	−	3.07286i	−0.195860	−	0.216206i
$203$	−19.1120	+	1.89151i	−1.34140	+	0.132758i
$204$	4.18512	−	6.14561i	0.293017	−	0.430279i
$205$	−0.0499124			−0.00348604
$206$	−7.30731	+	22.7232i	−0.509124	+	1.58320i
$207$	2.08438	−	0.101856i	0.144874	−	0.00707950i
$208$	19.5581	+	3.91053i	1.35611	+	0.271147i
$209$	15.9610	+	9.21509i	1.10405	+	0.637421i
$210$	−20.7612	−	3.95131i	−1.43266	−	0.272667i
$211$	11.9369	−	6.89180i	0.821773	−	0.474451i	−0.0292543	−	0.999572i	$-0.509313\pi$
$211$	11.9369	−	6.89180i	0.821773	−	0.474451i	0.851028	+	0.525121i	$0.175980\pi$
$212$	5.31957	+	0.526598i	0.365350	+	0.0361669i
$213$	−9.89511	+	18.1480i	−0.678002	+	1.24348i
$214$	3.43561	−	3.11230i	0.234853	−	0.212753i
$215$	2.74728	+	4.75844i	0.187363	+	0.324523i
$216$	−9.58701	−	11.1395i	−0.652314	−	0.757949i
$217$	5.87779	+	8.19425i	0.399010	+	0.556262i
$218$	13.7949	+	4.43616i	0.934309	+	0.300455i
$219$	−1.66603	−	2.72952i	−0.112580	−	0.184444i
$220$	9.38434	+	20.7390i	0.632692	+	1.39823i
$221$		−	10.7025i		−	0.719931i
$222$	−3.71185	−	15.3757i	−0.249123	−	1.03195i
$223$	−5.43463	−	3.13768i	−0.363929	−	0.210115i	0.306874	−	0.951750i	$-0.400717\pi$
$223$	−5.43463	−	3.13768i	−0.363929	−	0.210115i	−0.670803	+	0.741636i	$0.734050\pi$
$224$	−14.8699	+	1.69908i	−0.993535	+	0.113525i
$225$	7.72687	−	15.0333i	0.515125	−	1.00222i
$226$	−13.1598	−	14.5269i	−0.875378	−	0.966313i
$227$	8.76790	+	15.1864i	0.581946	+	1.00796i	0.995249	+	0.0973659i	$0.0310417\pi$
$227$	8.76790	+	15.1864i	0.581946	+	1.00796i	−0.413303	+	0.910594i	$0.635625\pi$
$228$	−7.94564	−	16.4764i	−0.526213	−	1.09118i
$229$	0.575209	−	0.996291i	0.0380109	−	0.0658367i	−0.846394	−	0.532557i	$-0.821231\pi$
$229$	0.575209	−	0.996291i	0.0380109	−	0.0658367i	0.884405	+	0.466720i	$0.154565\pi$
$230$	2.15381	+	2.37755i	0.142018	+	0.156771i
$231$	−12.7650	+	9.63692i	−0.839875	+	0.634063i
$232$	−2.33129	−	20.3987i	−0.153057	−	1.33924i
$233$	3.68989	−	2.13036i	0.241733	−	0.139565i	−0.374240	−	0.927332i	$-0.622096\pi$
$233$	3.68989	−	2.13036i	0.241733	−	0.139565i	0.615973	+	0.787767i	$0.288763\pi$
$234$	−20.4315	−	5.48572i	−1.33565	−	0.358613i
$235$	15.5888	+	9.00022i	1.01690	+	0.587109i
$236$	−12.1602	+	5.50244i	−0.791562	+	0.358179i
$237$	21.1843	+	11.5506i	1.37607	+	0.750294i
$238$	2.45844	+	7.64551i	0.159357	+	0.495585i
$239$	9.49186	+	16.4404i	0.613977	+	1.06344i	0.990563	+	0.137058i	$0.0437647\pi$
$239$	9.49186	+	16.4404i	0.613977	+	1.06344i	−0.376586	+	0.926382i	$0.622902\pi$
$240$	3.88753	−	22.2561i	0.250939	−	1.43662i
$241$	−14.6843	−	25.4340i	−0.945901	−	1.63835i	−0.753936	−	0.656948i	$-0.771847\pi$
$241$	−14.6843	−	25.4340i	−0.945901	−	1.63835i	−0.191965	−	0.981402i	$-0.561486\pi$
$242$	1.59092	+	0.511608i	0.102268	+	0.0328874i
$243$	9.38007	+	12.4505i	0.601732	+	0.798698i
$244$	−16.0800	+	7.27615i	−1.02942	+	0.465808i
$245$	17.1481	−	15.0672i	1.09555	−	0.962610i
$246$	0.0364444	−	0.00879803i	0.00232361	−	0.000560942i
$247$	−22.8026	−	13.1651i	−1.45090	−	0.837676i
$248$	−8.66386	+	6.41556i	−0.550155	+	0.407389i
$249$	9.46525	+	15.5073i	0.599836	+	0.982735i
$250$	2.85936	−	0.616820i	0.180842	−	0.0390111i
$251$	8.41058			0.530871			0.265436	−	0.964129i	$-0.414484\pi$
$251$	8.41058			0.530871			0.265436	+	0.964129i	$0.414484\pi$
$252$	15.8556	−	0.774443i	0.998809	−	0.0487853i
$253$	2.42788			0.152640
$254$	−12.6971	+	2.73901i	−0.796686	+	0.171861i
$255$	−12.1197	+	0.295948i	−0.758968	+	0.0185330i
$256$	−2.05693	−	15.8672i	−0.128558	−	0.991702i
$257$	−6.90235	−	3.98507i	−0.430557	−	0.248582i	0.269027	−	0.963133i	$-0.413298\pi$
$257$	−6.90235	−	3.98507i	−0.430557	−	0.248582i	−0.699584	+	0.714551i	$0.746631\pi$
$258$	−2.84474	−	2.99019i	−0.177106	−	0.186161i
$259$	15.5652	+	7.04363i	0.967175	+	0.437670i
$260$	−13.4069	−	29.6288i	−0.831461	−	1.83750i
$261$	1.06289	+	21.7509i	0.0657912	+	1.34635i
$262$	−10.5391	−	3.38914i	−0.651105	−	0.209382i
$263$	−13.1762	−	22.8218i	−0.812477	−	1.40725i	−0.911125	−	0.412130i	$-0.864785\pi$
$263$	−13.1762	−	22.8218i	−0.812477	−	1.40725i	0.0986479	−	0.995122i	$-0.468548\pi$
$264$	−10.5078	−	13.4888i	−0.646709	−	0.830177i
$265$	−4.35801	−	7.54830i	−0.267710	−	0.463688i
$266$	19.3135	+	4.16676i	1.18419	+	0.255481i
$267$	0.172647	+	7.07028i	0.0105658	+	0.432694i
$268$	−0.713189	−	1.57612i	−0.0435649	−	0.0962770i
$269$	−7.75731	−	4.47868i	−0.472972	−	0.273070i	0.244511	−	0.969646i	$-0.421372\pi$
$269$	−7.75731	−	4.47868i	−0.472972	−	0.273070i	−0.717483	+	0.696576i	$0.754706\pi$
$270$	−5.64715	+	23.2886i	−0.343675	+	1.41730i
$271$	23.7070	−	13.6873i	1.44010	−	0.831442i	0.442245	−	0.896895i	$-0.354182\pi$
$271$	23.7070	−	13.6873i	1.44010	−	0.831442i	0.997856	+	0.0654523i	$0.0208490\pi$
$272$	−8.13265	+	2.75167i	−0.493115	+	0.166844i
$273$	18.2367	−	13.7678i	1.10373	−	0.833263i
$274$	15.3996	+	16.9993i	0.930322	+	1.02696i
$275$	9.83245	−	17.0303i	0.592919	−	1.02697i
$276$	−1.99173	−	1.35636i	−0.119888	−	0.0816431i
$277$	−6.48409	−	11.2308i	−0.389591	−	0.674791i	0.602803	−	0.797890i	$-0.294050\pi$
$277$	−6.48409	−	11.2308i	−0.389591	−	0.674791i	−0.992394	+	0.123098i	$0.960717\pi$
$278$	16.3523	+	18.0510i	0.980746	+	1.08263i
$279$	9.61178	−	6.19381i	0.575442	−	0.370813i
$280$	16.3833	+	18.0861i	0.979091	+	1.08085i
$281$	−24.4075	−	14.0917i	−1.45603	−	0.840640i	−0.457218	−	0.889354i	$-0.651154\pi$
$281$	−24.4075	−	14.0917i	−1.45603	−	0.840640i	−0.998813	+	0.0487144i	$0.984488\pi$
$282$	−12.9689	−	3.82382i	−0.772287	−	0.227705i
$283$		−	15.4405i		−	0.917841i	−0.888477	−	0.458921i	$-0.848236\pi$
$283$		−	15.4405i		−	0.917841i	0.888477	−	0.458921i	$-0.151764\pi$
$284$	21.7455	−	9.83974i	1.29036	−	0.583881i
$285$	−14.2779	+	26.1861i	−0.845747	+	1.55113i
$286$	−23.4303	−	7.53471i	−1.38546	−	0.445537i
$287$	−0.0166952	+	0.0368936i	−0.000985487	+	0.00217776i
$288$	1.08452	+	16.9359i	0.0639059	+	0.997956i
$289$	−6.19651	−	10.7327i	−0.364501	−	0.631333i
$290$	−24.8102	+	22.4755i	−1.45691	+	1.31980i
$291$	−6.01733	−	9.85843i	−0.352742	−	0.577911i
$292$	−0.363752	+	3.67455i	−0.0212870	+	0.215037i
$293$	−9.34168	+	5.39342i	−0.545747	+	0.315087i	−0.747405	−	0.664369i	$-0.768700\pi$
$293$	−9.34168	+	5.39342i	−0.545747	+	0.315087i	0.201658	+	0.979456i	$0.435367\pi$
$294$	−9.86508	+	14.0243i	−0.575343	+	0.817912i
$295$	18.8471	+	10.8814i	1.09732	+	0.633538i
$296$	−7.27709	+	16.7520i	−0.422972	+	0.973692i
$297$	10.1929	+	15.0004i	0.591450	+	0.870410i
$298$	−1.27677	+	3.97031i	−0.0739613	+	0.229994i
$299$	−3.46859			−0.200594
$300$	−17.5802	+	8.47795i	−1.01500	+	0.489475i
$301$	4.43621	−	0.439049i	0.255699	−	0.0253064i
$302$	−1.82292	−	2.01229i	−0.104897	−	0.115794i
$303$	−0.123963	−	5.07658i	−0.00712150	−	0.291642i
$304$	−4.14126	+	20.7121i	−0.237518	+	1.18792i
$305$	24.9224	+	14.3890i	1.42705	+	0.823910i
$306$	8.79726	−	2.35243i	0.502906	−	0.134479i
$307$			16.4926i			0.941280i	0.882325	+	0.470640i	$0.155977\pi$
$307$			16.4926i			0.941280i	−0.882325	+	0.470640i	$0.844023\pi$
$308$	18.4685		0.000422216i	1.05234		2.40580e-5i
$309$	−24.9528	+	15.2305i	−1.41951	+	0.866435i
$310$	16.7340	+	5.38130i	0.950425	+	0.305637i
$311$	5.69224			0.322777			0.161389	−	0.986891i	$-0.448403\pi$
$311$	5.69224			0.322777			0.161389	+	0.986891i	$0.448403\pi$
$312$	15.0119	+	19.2707i	0.849882	+	1.09099i
$313$	−4.40253			−0.248846			−0.124423	−	0.992229i	$-0.539708\pi$
$313$	−4.40253			−0.248846			−0.124423	+	0.992229i	$0.539708\pi$
$314$	−3.59463	−	16.6634i	−0.202857	−	0.940373i
$315$	−16.0951	−	20.2708i	−0.906858	−	1.14213i
$316$	−11.4860	−	25.3836i	−0.646137	−	1.42794i
$317$		−	6.48205i		−	0.364068i	−0.983292	−	0.182034i	$-0.941732\pi$
$317$		−	6.48205i		−	0.364068i	0.983292	−	0.182034i	$-0.0582681\pi$
$318$	4.51261	+	4.74333i	0.253054	+	0.265993i
$319$			25.3354i			1.41851i
$320$	−19.0674	+	17.8053i	−1.06590	+	0.995348i
$321$	5.67587	−	0.138597i	0.316796	−	0.00773573i
$322$	2.47783	−	0.796757i	0.138084	−	0.0444015i
$323$	11.3340			0.630642
$324$	0.0182853	−	18.0000i	0.00101585	−	0.999999i
$325$	−14.0471	+	24.3303i	−0.779193	+	1.34960i
$326$	−9.46011	−	10.4428i	−0.523947	−	0.578375i
$327$	9.24623	+	15.1485i	0.511318	+	0.837712i
$328$	−0.0397066	−	0.0172486i	−0.00219243	−	0.000952394i
$329$	11.8670	−	8.51224i	0.654246	−	0.469295i
$330$	−7.88454	+	26.7413i	−0.434029	+	1.47206i
$331$			6.99023i			0.384218i	0.981374	+	0.192109i	$0.0615327\pi$
$331$			6.99023i			0.384218i	−0.981374	+	0.192109i	$0.938467\pi$
$332$	2.06659	−	20.8763i	0.113419	−	1.14573i
$333$	8.85575	−	17.2297i	0.485292	−	0.944179i
$334$	−10.6713	+	9.66708i	−0.583908	+	0.528959i
$335$	−1.41037	+	2.44283i	−0.0770567	+	0.133466i
$336$	−15.1506	−	10.3180i	−0.826531	−	0.562891i
$337$	3.05189	+	5.28603i	0.166247	+	0.287948i	0.937097	−	0.349068i	$-0.113502\pi$
$337$	3.05189	+	5.28603i	0.166247	+	0.287948i	−0.770850	+	0.637016i	$0.780168\pi$
$338$	15.9716	+	5.13614i	0.868741	+	0.279369i
$339$	−0.586033	−	23.9994i	−0.0318290	−	1.30347i
$340$	11.3749	+	8.15966i	0.616889	+	0.442520i
$341$	11.5208	−	6.65155i	0.623887	−	0.360202i
$342$	5.80939	−	21.6370i	0.314136	−	1.16999i
$343$	−5.40131	−	17.7151i	−0.291643	−	0.956527i
$344$	0.541131	+	4.73486i	0.0291758	+	0.255286i
$345$	0.0959136	+	3.92789i	0.00516382	+	0.211470i
$346$	−16.0326	+	3.45854i	−0.861915	+	0.185932i
$347$	1.71127			0.0918658			0.0459329	−	0.998945i	$-0.485374\pi$
$347$	1.71127			0.0918658			0.0459329	+	0.998945i	$0.485374\pi$
$348$	14.1538	−	20.7841i	0.758726	−	1.11414i
$349$	−5.06959	+	8.78079i	−0.271369	+	0.470025i	−0.969213	−	0.246225i	$-0.920810\pi$
$349$	−5.06959	+	8.78079i	−0.271369	+	0.470025i	0.697844	+	0.716250i	$0.254143\pi$
$350$	4.44591	−	20.6074i	0.237644	−	1.10151i
$351$	−14.5620	−	21.4302i	−0.777263	−	1.14386i
$352$	0.298551	+	19.7415i	0.0159128	+	1.05222i
$353$	6.56007	−	3.78746i	0.349157	−	0.201586i	−0.315157	−	0.949040i	$-0.602057\pi$
$353$	6.56007	−	3.78746i	0.349157	−	0.201586i	0.664314	+	0.747454i	$0.268724\pi$
$354$	−15.6796	−	4.62305i	−0.833359	−	0.245712i
$355$	−33.7033	−	19.4586i	−1.78878	−	1.03276i
$356$	4.76009	−	6.63574i	0.252284	−	0.351694i
$357$	−3.83518	+	9.05749i	−0.202979	+	0.479373i
$358$	−5.78238	−	1.85949i	−0.305608	−	0.0982774i
$359$	−0.961950	−	1.66615i	−0.0507698	−	0.0879359i	0.839524	−	0.543323i	$-0.182834\pi$
$359$	−0.961950	−	1.66615i	−0.0507698	−	0.0879359i	−0.890293	+	0.455387i	$0.849501\pi$
$360$	21.4074	−	17.5326i	1.12827	−	0.924050i
$361$	4.44189	−	7.69359i	0.233784	−	0.404926i
$362$	−3.91470	−	18.1472i	−0.205752	−	0.953795i
$363$	1.06634	+	1.74703i	0.0559683	+	0.0916950i
$364$	−26.3850		0.000603198i	−1.38295		3.16161e-5i
$365$	5.21406	−	3.01034i	0.272916	−	0.157568i
$366$	−20.7339	−	6.11328i	−1.08378	−	0.319546i
$367$	8.89652	−	5.13641i	0.464395	−	0.268118i	−0.249496	−	0.968376i	$-0.580265\pi$
$367$	8.89652	−	5.13641i	0.464395	−	0.268118i	0.713890	+	0.700258i	$0.246932\pi$
$368$	0.891787	+	2.63571i	0.0464876	+	0.137396i
$369$	0.0408387	+	0.0209904i	0.00212598	+	0.00109272i
$370$	29.1106	−	6.27973i	1.51339	−	0.326468i
$371$	−7.03715	+	0.696462i	−0.365351	+	0.0361585i
$372$	−13.1671	−	0.979555i	−0.682684	−	0.0507876i
$373$	−6.90095	+	11.9528i	−0.357318	+	0.618893i	−0.987512	−	0.157545i	$-0.949642\pi$
$373$	−6.90095	+	11.9528i	−0.357318	+	0.618893i	0.630194	+	0.776438i	$0.282975\pi$
$374$	10.3562	−	2.23403i	0.535506	−	0.115519i
$375$	3.14537	+	1.71500i	0.162426	+	0.0885621i
$376$	9.29105	+	12.5470i	0.479149	+	0.647064i
$377$		−	36.1954i		−	1.86416i
$378$	15.3252	+	11.9640i	0.788245	+	0.615361i
$379$		−	21.8668i		−	1.12322i	−0.827401	−	0.561612i	$-0.810182\pi$
$379$		−	21.8668i		−	1.12322i	0.827401	−	0.561612i	$-0.189818\pi$
$380$	31.3770	−	14.1980i	1.60960	−	0.728340i
$381$	−13.9672	−	7.61552i	−0.715559	−	0.390155i
$382$	−5.22701	−	24.2306i	−0.267437	−	1.23975i
$383$	4.40236	−	7.62511i	0.224950	−	0.389625i	−0.731354	−	0.681998i	$-0.761111\pi$
$383$	4.40236	−	7.62511i	0.224950	−	0.389625i	0.956304	+	0.292373i	$0.0944448\pi$
$384$	10.7838	−	16.3618i	0.550309	−	0.834961i
$385$	−17.5518	−	24.4691i	−0.894525	−	1.24706i
$386$	3.74756	+	17.3724i	0.190746	+	0.884230i
$387$	−0.246714	−	5.04874i	−0.0125412	−	0.256642i
$388$	−1.31379	+	13.2716i	−0.0666977	+	0.673765i
$389$	30.1209	−	17.3903i	1.52719	−	0.881723i	0.527712	−	0.849424i	$-0.323050\pi$
$389$	30.1209	−	17.3903i	1.52719	−	0.881723i	0.999478	−	0.0322999i	$-0.0102832\pi$
$390$	11.2642	−	38.2038i	0.570386	−	1.93453i
$391$	1.29304	−	0.746538i	0.0653920	−	0.0377541i
$392$	18.8487	−	6.06039i	0.952001	−	0.306096i
$393$	−7.06395	−	11.5731i	−0.356329	−	0.583788i
$394$	20.7668	−	4.47980i	1.04622	−	0.225689i
$395$	−22.7141	+	39.3420i	−1.14287	+	1.97951i
$396$	1.04336	−	20.9154i	0.0524307	−	1.05104i
$397$	7.78381	+	13.4820i	0.390658	+	0.676640i	0.992537	−	0.121948i	$-0.0389141\pi$
$397$	7.78381	+	13.4820i	0.390658	+	0.676640i	−0.601878	+	0.798588i	$0.705581\pi$
$398$	−8.83123	+	27.4621i	−0.442669	+	1.37655i
$399$	14.5801	+	19.3127i	0.729918	+	0.966844i
$400$	22.0997	+	4.41870i	1.10498	+	0.220935i
$401$	−1.43231	−	0.826946i	−0.0715263	−	0.0412957i	0.463810	−	0.885935i	$-0.346482\pi$
$401$	−1.43231	−	0.826946i	−0.0715263	−	0.0412957i	−0.535337	+	0.844639i	$0.679815\pi$
$402$	0.599207	−	2.03228i	0.0298857	−	0.101361i
$403$	−16.4592	+	9.50272i	−0.819890	+	0.473364i
$404$	−3.41783	+	4.76458i	−0.170043	+	0.237047i
$405$	−23.8653	+	17.0829i	−1.18588	+	0.848854i
$406$	8.31432	+	25.8567i	0.412633	+	1.28325i
$407$	11.2689	−	19.5184i	0.558581	−	0.967490i
$408$	−9.74384	−	3.95287i	−0.482392	−	0.195696i
$409$	3.93601			0.194623			0.0973116	−	0.995254i	$-0.468976\pi$
$409$	3.93601			0.194623			0.0973116	+	0.995254i	$0.468976\pi$
$410$	0.0148846	+	0.0689997i	0.000735097	+	0.00340765i
$411$	0.685774	+	28.0840i	0.0338267	+	1.38528i
$412$	33.5920	+	3.32536i	1.65496	+	0.163829i
$413$	14.3473	−	10.2914i	0.705984	−	0.506407i
$414$	−0.762399	−	2.85110i	−0.0374699	−	0.140124i
$415$	−29.6227	+	17.1027i	−1.45412	+	0.839538i
$416$	−0.426523	−	28.2036i	−0.0209120	−	1.38279i
$417$	0.728202	+	29.8215i	0.0356602	+	1.46037i
$418$	7.97928	−	24.8128i	0.390279	−	1.21363i
$419$	6.94927	+	12.0365i	0.339494	+	0.588021i	0.984338	−	0.176294i	$-0.0564109\pi$
$419$	6.94927	+	12.0365i	0.339494	+	0.588021i	−0.644844	+	0.764314i	$0.723078\pi$
$420$	0.728918	+	29.8789i	0.0355676	+	1.45794i
$421$	1.45053	−	2.51239i	0.0706944	−	0.122446i	−0.828511	−	0.559972i	$-0.810812\pi$
$421$	1.45053	−	2.51239i	0.0706944	−	0.122446i	0.899206	+	0.437526i	$0.144145\pi$
$422$	−13.0871	−	14.4466i	−0.637069	−	0.703248i
$423$	−8.96990	−	13.9198i	−0.436131	−	0.676805i
$424$	−0.858394	−	7.51089i	−0.0416873	−	0.364761i
$425$		−	12.0933i		−	0.586613i
$426$	28.0389	+	8.26715i	1.35849	+	0.400545i
$427$	18.9721	−	13.6088i	0.918126	−	0.658578i
$428$	−5.32703	−	3.82130i	−0.257492	−	0.184710i
$429$	−15.7045	−	25.7293i	−0.758220	−	1.24222i
$430$	5.75885	−	5.21692i	0.277716	−	0.251582i
$431$	−14.3469	+	24.8496i	−0.691068	+	1.19697i	0.280420	+	0.959877i	$0.409526\pi$
$431$	−14.3469	+	24.8496i	−0.691068	+	1.19697i	−0.971488	+	0.237088i	$0.923807\pi$
$432$	−12.5405	+	16.5752i	−0.603353	+	0.797474i
$433$	30.0796			1.44553			0.722767	−	0.691092i	$-0.242870\pi$
$433$	30.0796			1.44553			0.722767	+	0.691092i	$0.242870\pi$
$434$	9.57501	−	10.5692i	0.459615	−	0.507337i
$435$	−40.9883	+	1.00088i	−1.96524	+	0.0479884i
$436$	2.01877	−	20.3932i	0.0966817	−	0.976657i
$437$		−	3.67324i		−	0.175715i
$438$	−3.27650	+	3.11713i	−0.156557	+	0.148942i
$439$		−	7.08303i		−	0.338054i	−0.985611	−	0.169027i	$-0.945937\pi$
$439$		−	7.08303i		−	0.338054i	0.985611	−	0.169027i	$-0.0540626\pi$
$440$	25.8714	−	19.1577i	1.23337	−	0.913308i
$441$	−20.3671	+	5.11658i	−0.969864	+	0.243646i
$442$	−14.7953	+	3.19165i	−0.703743	+	0.151811i
$443$	18.4047			0.874432			0.437216	−	0.899357i	$-0.355965\pi$
$443$	18.4047			0.874432			0.437216	+	0.899357i	$0.355965\pi$
$444$	−20.1487	+	9.71656i	−0.956213	+	0.461127i
$445$	−13.3156			−0.631218
$446$	−2.71690	+	8.44860i	−0.128649	+	0.400053i
$447$	−4.35988	+	2.66116i	−0.206215	+	0.125868i
$448$	6.78324	+	20.0496i	0.320478	+	0.947256i
$449$			8.67618i			0.409454i	0.978819	+	0.204727i	$0.0656307\pi$
$449$			8.67618i			0.409454i	−0.978819	+	0.204727i	$0.934369\pi$
$450$	−23.0865	−	6.19859i	−1.08831	−	0.292204i
$451$	0.0462636	+	0.0267103i	0.00217847	+	0.00125774i
$452$	−16.1577	+	22.5244i	−0.759994	+	1.05946i
$453$	−0.0811784	−	3.32444i	−0.00381409	−	0.156196i
$454$	18.3792	−	16.6497i	0.862581	−	0.781408i
$455$	25.0754	+	34.9577i	1.17555	+	1.63884i
$456$	−20.4077	+	15.8977i	−0.955679	+	0.744476i
$457$	−24.1589			−1.13011			−0.565054	−	0.825054i	$-0.691145\pi$
$457$	−24.1589			−1.13011			−0.565054	+	0.825054i	$0.691145\pi$
$458$	−1.54882	−	0.498069i	−0.0723717	−	0.0232732i
$459$	10.0409	+	4.85474i	0.468670	+	0.226600i
$460$	2.64446	−	3.68648i	0.123299	−	0.171883i
$461$	16.8170	+	9.70928i	0.783244	+	0.452206i	0.837579	−	0.546317i	$-0.183970\pi$
$461$	16.8170	+	9.70928i	0.783244	+	0.452206i	−0.0543348	+	0.998523i	$0.517304\pi$
$462$	17.1289	+	14.7727i	0.796909	+	0.687286i
$463$	−23.8215	+	13.7533i	−1.10708	+	0.639172i	−0.938071	−	0.346443i	$-0.887389\pi$
$463$	−23.8215	+	13.7533i	−1.10708	+	0.639172i	−0.169007	+	0.985615i	$0.554056\pi$
$464$	−27.5042	+	9.30597i	−1.27685	+	0.432019i
$465$	11.2162	+	18.3759i	0.520137	+	0.852161i
$466$	−4.04542	−	4.46566i	−0.187400	−	0.206868i
$467$	−17.8013	−	30.8327i	−0.823744	−	1.42677i	−0.902876	−	0.429902i	$-0.858548\pi$
$467$	−17.8013	−	30.8327i	−0.823744	−	1.42677i	0.0791317	−	0.996864i	$-0.474785\pi$
$468$	−1.49059	+	29.8807i	−0.0689025	+	1.38123i
$469$	1.33390	+	1.85960i	0.0615939	+	0.0858682i
$470$	7.79322	−	24.2342i	0.359474	−	1.11784i
$471$	9.99448	−	18.3303i	0.460521	−	0.844614i
$472$	11.2330	+	15.1695i	0.517041	+	0.698234i
$473$		−	5.88076i		−	0.270398i
$474$	9.65030	−	32.7300i	0.443253	−	1.50334i
$475$	−25.7658	−	14.8759i	−1.18222	−	0.682554i
$476$	9.83612	−	5.67858i	0.450838	−	0.260278i
$477$	0.391362	+	8.00881i	0.0179192	+	0.366698i
$478$	19.8968	−	18.0244i	0.910059	−	0.824418i
$479$	1.79541	+	3.10975i	0.0820345	+	0.142088i	0.904124	−	0.427271i	$-0.140525\pi$
$479$	1.79541	+	3.10975i	0.0820345	+	0.142088i	−0.822089	+	0.569359i	$0.807192\pi$
$480$	−31.9264	+	1.26289i	−1.45723	+	0.0576428i
$481$	−16.0993	+	27.8849i	−0.734067	+	1.27144i
$482$	−30.7813	+	27.8846i	−1.40205	+	1.27011i
$483$	2.93544	+	1.24294i	0.133567	+	0.0565558i
$484$	0.232819	−	2.35188i	0.0105827	−	0.106904i
$485$	18.8320	−	10.8727i	0.855118	−	0.493702i
$486$	14.4144	−	16.6800i	0.653852	−	0.756622i
$487$	37.1502	+	21.4487i	1.68344	+	0.971932i	0.959348	+	0.282225i	$0.0910725\pi$
$487$	37.1502	+	21.4487i	1.68344	+	0.971932i	0.724088	+	0.689707i	$0.242261\pi$
$488$	14.8539	+	20.0594i	0.672406	+	0.908047i
$489$	−0.421278	−	17.2523i	−0.0190508	−	0.780176i
$490$	−25.9430	−	19.2125i	−1.17198	−	0.867934i
$491$	14.5393	+	25.1829i	0.656151	+	1.13649i	0.981604	+	0.190929i	$0.0611499\pi$
$491$	14.5393	+	25.1829i	0.656151	+	1.13649i	−0.325453	+	0.945558i	$0.605517\pi$
$492$	−0.0230307	−	0.0477575i	−0.00103831	−	0.00215308i
$493$	7.79028	+	13.4932i	0.350856	+	0.607701i
$494$	−11.3996	+	35.4487i	−0.512891	+	1.59491i
$495$	−28.7020	+	18.4955i	−1.29006	+	0.831311i
$496$	11.4526	+	10.0638i	0.514239	+	0.451879i
$497$	−25.6565	+	18.4036i	−1.15085	+	0.825514i
$498$	18.6148	−	17.7094i	0.834151	−	0.793577i
$499$	15.7297	+	9.08155i	0.704158	+	0.406546i	0.808894	−	0.587954i	$-0.200066\pi$
$499$	15.7297	+	9.08155i	0.704158	+	0.406546i	−0.104736	+	0.994500i	$0.533400\pi$
$500$	−1.70540	−	3.76887i	−0.0762678	−	0.168549i
$501$	−17.6298	+	0.430495i	−0.787639	+	0.0192331i
$502$	−2.50815	−	11.6269i	−0.111944	−	0.518934i
$503$	−18.7339			−0.835304			−0.417652	−	0.908607i	$-0.637147\pi$
$503$	−18.7339			−0.835304			−0.417652	+	0.908607i	$0.637147\pi$
$504$	−5.79896	−	21.6881i	−0.258306	−	0.966063i
$505$	9.56080			0.425450
$506$	−0.724028	−	3.35634i	−0.0321870	−	0.149207i
$507$	10.7052	+	17.5387i	0.475434	+	0.778923i
$508$	7.57290	+	16.7358i	0.335993	+	0.742532i
$509$	29.7613	+	17.1827i	1.31915	+	0.761609i	0.983591	−	0.180412i	$-0.0577431\pi$
$509$	29.7613	+	17.1827i	1.31915	+	0.761609i	0.335554	+	0.942021i	$0.391076\pi$
$510$	4.02340	+	16.6662i	0.178159	+	0.737994i
$511$	−0.481088	−	4.86098i	−0.0212821	−	0.215037i
$512$	−21.3217	+	7.57535i	−0.942294	+	0.334786i
$513$	22.6947	−	15.4212i	1.00199	−	0.680863i
$514$	−3.45065	+	10.7303i	−0.152201	+	0.473294i
$515$	−27.5199	−	47.6659i	−1.21267	−	2.10041i
$516$	−3.28534	+	4.82432i	−0.144629	+	0.212379i
$517$	−9.63281	−	16.6845i	−0.423650	−	0.733784i
$518$	5.09545	−	23.6181i	0.223881	−	1.03772i
$519$	−17.6363	−	9.61607i	−0.774146	−	0.422099i
$520$	−36.9611	+	27.3696i	−1.62085	+	1.20024i
$521$	−8.26183	−	4.76997i	−0.361957	−	0.208976i	0.307982	−	0.951392i	$-0.400346\pi$
$521$	−8.26183	−	4.76997i	−0.361957	−	0.208976i	−0.669939	+	0.742416i	$0.733680\pi$
$522$	29.7518	−	7.95578i	1.30220	−	0.348215i
$523$	−14.5568	+	8.40435i	−0.636523	+	0.367497i	−0.783274	−	0.621677i	$-0.786452\pi$
$523$	−14.5568	+	8.40435i	−0.636523	+	0.367497i	0.146751	+	0.989173i	$0.453118\pi$
$524$	−1.54231	+	15.5800i	−0.0673759	+	0.680617i
$525$	20.6065	−	15.5569i	0.899343	−	0.678958i
$526$	−27.6198	+	25.0207i	−1.20428	+	1.09095i
$527$	4.09051	−	7.08497i	0.178185	−	0.308626i
$528$	−15.5135	+	18.5486i	−0.675139	+	0.807226i
$529$	11.2581	+	19.4995i	0.489481	+	0.847805i
$530$	−9.13525	+	8.27558i	−0.396810	+	0.359468i
$531$	−10.8447	−	16.8293i	−0.470621	−	0.730327i
$532$	0.000638788	−	27.9418i	2.76950e−5	−	1.21143i
$533$	−0.0660944	−	0.0381596i	−0.00286286	−	0.00165288i
$534$	9.72257	−	2.34713i	0.420737	−	0.101570i
$535$			10.6894i			0.462145i
$536$	−1.96617	+	1.45594i	−0.0849256	+	0.0628872i
$537$	−3.87572	−	6.34975i	−0.167250	−	0.274012i
$538$	−3.87806	+	12.0594i	−0.167195	+	0.519918i
$539$	−23.9576	+	4.78905i	−1.03193	+	0.206279i
$540$	33.8786	+	0.861706i	1.45790	+	0.0370819i
$541$	−20.2946	−	35.1513i	−0.872534	−	1.51127i	−0.859366	−	0.511360i	$-0.829142\pi$
$541$	−20.2946	−	35.1513i	−0.872534	−	1.51127i	−0.0131677	−	0.999913i	$-0.504192\pi$
$542$	−25.9912	−	28.6912i	−1.11642	−	1.23239i
$543$	10.8844	−	19.9624i	0.467094	−	0.856669i
$544$	6.22921	+	10.4221i	0.267075	+	0.446844i
$545$	−28.9373	+	16.7069i	−1.23954	+	0.715647i
$546$	−24.4712	−	21.1049i	−1.04727	−	0.903207i
$547$	−14.3844	−	8.30484i	−0.615033	−	0.355089i	0.159900	−	0.987133i	$-0.448883\pi$
$547$	−14.3844	−	8.30484i	−0.615033	−	0.355089i	−0.774932	+	0.632044i	$0.782216\pi$
$548$	18.9077	−	26.3580i	0.807696	−	1.12596i
$549$	−14.3405	−	22.2541i	−0.612038	−	0.949784i
$550$	−26.4751	−	8.51384i	−1.12890	−	0.363032i
$551$	38.3310			1.63296
$552$	−1.28108	+	3.15788i	−0.0545266	+	0.134408i
$553$	21.4826	+	29.9490i	0.913534	+	1.27356i
$554$	−13.5919	+	12.3129i	−0.577466	+	0.523123i
$555$	32.0225	+	17.4601i	1.35928	+	0.741140i
$556$	20.0775	−	27.9887i	0.851474	−	1.18699i
$557$	−22.9319	−	13.2397i	−0.971655	−	0.560985i	−0.0719143	−	0.997411i	$-0.522911\pi$
$557$	−22.9319	−	13.2397i	−0.971655	−	0.560985i	−0.899740	+	0.436426i	$0.856244\pi$
$558$	−11.4288	−	11.4404i	−0.483818	−	0.484310i
$559$			8.40153i			0.355347i
$560$	20.1167	−	28.0421i	0.850086	−	1.18499i
$561$	11.3921	+	6.21148i	0.480975	+	0.262249i
$562$	−12.2019	+	37.9436i	−0.514706	+	1.60056i
$563$	−15.0217			−0.633090			−0.316545	−	0.948577i	$-0.602523\pi$
$563$	−15.0217			−0.633090			−0.316545	+	0.948577i	$0.602523\pi$
$564$	−1.41860	+	19.0687i	−0.0597337	+	0.802937i
$565$	45.1985			1.90151
$566$	−21.3451	+	4.60456i	−0.897203	+	0.193544i
$567$	4.64436	+	23.3544i	0.195045	+	0.980794i
$568$	−20.0874	−	27.1269i	−0.842848	−	1.13822i
$569$			20.4369i			0.856761i	0.903599	+	0.428380i	$0.140916\pi$
$569$			20.4369i			0.856761i	−0.903599	+	0.428380i	$0.859084\pi$
$570$	40.4579	+	11.9288i	1.69460	+	0.499644i
$571$			31.1726i			1.30453i	0.757989	+	0.652267i	$0.226182\pi$
$571$			31.1726i			1.30453i	−0.757989	+	0.652267i	$0.773818\pi$
$572$	−3.42884	+	34.6374i	−0.143367	+	1.44826i
$573$	14.5331	−	26.6543i	0.607130	−	1.11350i
$574$	0.0559809	+	0.0120775i	0.00233660	+	0.000504106i
$575$	−3.91933			−0.163447
$576$	23.0890	−	6.54977i	0.962040	−	0.272907i
$577$	0.131518	−	0.227796i	0.00547518	−	0.00948329i	−0.863275	−	0.504734i	$-0.831591\pi$
$577$	0.131518	−	0.227796i	0.00547518	−	0.00948329i	0.868750	+	0.495251i	$0.164924\pi$
$578$	−12.9891	+	11.7668i	−0.540276	+	0.489433i
$579$	−10.4197	+	19.1101i	−0.433027	+	0.794188i
$580$	38.4691	+	27.5955i	1.59734	+	1.14584i
$581$	2.73322	+	27.6168i	0.113393	+	1.14574i
$582$	−11.8340	+	11.2584i	−0.490534	+	0.466674i
$583$			9.32864i			0.386353i
$584$	5.18822	−	0.592944i	0.214690	−	0.0245362i
$585$	41.0051	−	26.4236i	1.69535	−	1.09248i
$586$	10.2418	+	11.3057i	0.423083	+	0.467033i
$587$	7.09191	−	12.2835i	0.292714	−	0.506996i	−0.681736	−	0.731598i	$-0.738775\pi$
$587$	7.09191	−	12.2835i	0.292714	−	0.506996i	0.974451	+	0.224602i	$0.0721082\pi$
$588$	22.3293	+	9.45539i	0.920843	+	0.389934i
$589$	−10.0634	−	17.4303i	−0.414655	−	0.718204i
$590$	9.42210	−	29.2995i	0.387902	−	1.20624i
$591$	22.8440	+	12.4556i	0.939678	+	0.512355i
$592$	25.3284	+	5.06427i	1.04099	+	0.208140i
$593$	−36.8695	+	21.2866i	−1.51405	+	0.874137i	−0.514184	+	0.857680i	$0.671905\pi$
$593$	−36.8695	+	21.2866i	−1.51405	+	0.874137i	−0.999865	+	0.0164569i	$0.994761\pi$
$594$	17.6971	−	18.5641i	0.726119	−	0.761694i
$595$	−16.8717	−	7.63482i	−0.691671	−	0.312997i
$596$	5.86936	+	0.581023i	0.240419	+	0.0237996i
$597$	−30.1566	+	18.4068i	−1.23423	+	0.753341i
$598$	1.03438	+	4.79502i	0.0422990	+	0.196083i
$599$	−25.8366			−1.05566			−0.527828	−	0.849352i	$-0.676993\pi$
$599$	−25.8366			−1.05566			−0.527828	+	0.849352i	$0.676993\pi$
$600$	16.9627	+	21.7749i	0.692500	+	0.888958i
$601$	−10.3571	+	17.9390i	−0.422474	+	0.731746i	−0.996181	−	0.0873147i	$-0.972171\pi$
$601$	−10.3571	+	17.9390i	−0.422474	+	0.731746i	0.573707	+	0.819060i	$0.305505\pi$
$602$	−1.92989	−	6.00175i	−0.0786563	−	0.244613i
$603$	2.18129	−	1.40562i	0.0888291	−	0.0572412i
$604$	−2.23819	+	3.12012i	−0.0910708	+	0.126956i
$605$	−3.33725	+	1.92676i	−0.135678	+	0.0783339i
$606$	−6.98097	+	1.68528i	−0.283583	+	0.0684597i
$607$	33.3745	+	19.2688i	1.35463	+	0.782097i	0.988894	−	0.148622i	$-0.0474836\pi$
$607$	33.3745	+	19.2688i	1.35463	+	0.782097i	0.365737	+	0.930718i	$0.380817\pi$
$608$	29.8677	−	0.451689i	1.21129	−	0.0183184i
$609$	−12.9703	+	30.6319i	−0.525585	+	1.24127i
$610$	12.4593	−	38.7441i	0.504463	−	1.56870i
$611$	13.7619	+	23.8363i	0.556746	+	0.964313i
$612$	−5.87550	−	11.4599i	−0.237503	−	0.463240i
$613$	4.81689	−	8.34309i	0.194552	−	0.336974i	−0.752201	−	0.658933i	$-0.771008\pi$
$613$	4.81689	−	8.34309i	0.194552	−	0.336974i	0.946754	+	0.321959i	$0.104341\pi$
$614$	22.7996	−	4.91831i	0.920115	−	0.198487i
$615$	−0.0413849	+	0.0759016i	−0.00166880	+	0.00306065i
$616$	−5.50699	−	25.5313i	−0.221883	−	1.02869i
$617$	−27.4232	+	15.8328i	−1.10402	+	0.637405i	−0.937273	−	0.348595i	$-0.886659\pi$
$617$	−27.4232	+	15.8328i	−1.10402	+	0.637405i	−0.166744	+	0.986000i	$0.553325\pi$
$618$	28.4962	+	29.9531i	1.14628	+	1.20489i
$619$	13.5966	−	7.85001i	0.546494	−	0.315519i	−0.201213	−	0.979548i	$-0.564488\pi$
$619$	13.5966	−	7.85001i	0.546494	−	0.315519i	0.747707	+	0.664029i	$0.231155\pi$
$620$	2.44888	−	24.7380i	0.0983494	−	0.993504i
$621$	1.57337	−	3.25416i	0.0631373	−	0.130585i
$622$	−1.69751	−	7.86904i	−0.0680638	−	0.315520i
$623$	−4.45392	+	9.84240i	−0.178443	+	0.394328i
$624$	22.1633	−	26.4995i	0.887243	−	1.06083i
$625$	10.7132	−	18.5557i	0.428527	−	0.742230i
$626$	1.31289	+	6.08612i	0.0524738	+	0.243250i
$627$	27.2474	−	16.6311i	1.08816	−	0.664183i
$628$	−21.9638	+	9.93854i	−0.876452	+	0.396591i
$629$		−	13.8601i		−	0.552640i
$630$	−23.2229	+	28.2952i	−0.925222	+	1.12731i
$631$			9.84589i			0.391959i	0.980608	+	0.195979i	$0.0627885\pi$
$631$			9.84589i			0.391959i	−0.980608	+	0.195979i	$0.937211\pi$
$632$	−31.6654	+	23.4481i	−1.25958	+	0.932716i
$633$	−0.582794	−	23.8668i	−0.0231640	−	0.948619i
$634$	−8.96088	+	1.93304i	−0.355882	+	0.0767707i
$635$	14.9758	−	25.9389i	0.594297	−	1.02935i
$636$	5.21152	−	7.65281i	0.206650	−	0.303454i
$637$	34.2270	−	6.84187i	1.35612	−	0.271085i
$638$	35.0241	−	7.55538i	1.38662	−	0.299120i
$639$	19.3931	+	30.0949i	0.767177	+	1.19054i
$640$	30.3005	+	21.0492i	1.19773	+	0.832042i
$641$	−12.7539	+	7.36348i	−0.503750	+	0.290840i	−0.730261	−	0.683169i	$-0.760601\pi$
$641$	−12.7539	+	7.36348i	−0.503750	+	0.290840i	0.226511	+	0.974009i	$0.427268\pi$
$642$	−1.88422	−	7.80507i	−0.0743643	−	0.308042i
$643$	6.92914	−	4.00054i	0.273259	−	0.157766i	−0.357109	−	0.934063i	$-0.616237\pi$
$643$	6.92914	−	4.00054i	0.273259	−	0.157766i	0.630368	+	0.776297i	$0.282904\pi$
$644$	−1.84037	−	3.18779i	−0.0725208	−	0.125616i
$645$	9.51404	−	0.232320i	0.374615	−	0.00914759i
$646$	−3.37996	−	15.6683i	−0.132983	−	0.616462i
$647$	7.58887	−	13.1443i	0.298349	−	0.516756i	−0.677409	−	0.735606i	$-0.736897\pi$
$647$	7.58887	−	13.1443i	0.298349	−	0.516756i	0.975758	+	0.218850i	$0.0702306\pi$
$648$	−24.8889	+	5.34257i	−0.977728	+	0.209876i
$649$	−11.6462	−	20.1718i	−0.457153	−	0.791811i
$650$	37.8236	+	12.1633i	1.48356	+	0.477083i
$651$	17.3345	−	2.14405i	0.679393	−	0.0840321i
$652$	−11.6152	+	16.1920i	−0.454885	+	0.634127i
$653$	−34.4753	−	19.9043i	−1.34912	−	0.778916i	−0.360996	−	0.932567i	$-0.617563\pi$
$653$	−34.4753	−	19.9043i	−1.34912	−	0.778916i	−0.988125	+	0.153652i	$0.950897\pi$
$654$	18.1841	−	17.2996i	0.711054	−	0.676468i
$655$	22.1075	−	12.7638i	0.863813	−	0.498723i
$656$	−0.0120036	+	0.0600348i	−0.000468662	+	0.00234396i
$657$	−5.53216	+	0.270337i	−0.215830	+	0.0105468i
$658$	−15.3063	−	13.8666i	−0.596703	−	0.540575i
$659$	−8.89552	+	15.4075i	−0.346520	+	0.600191i	−0.985629	−	0.168926i	$-0.945970\pi$
$659$	−8.89552	+	15.4075i	−0.346520	+	0.600191i	0.639109	+	0.769117i	$0.279303\pi$
$660$	39.3188	+	2.92508i	1.53048	+	0.113859i
$661$	19.4193			0.755323			0.377661	−	0.925944i	$-0.376728\pi$
$661$	19.4193			0.755323			0.377661	+	0.925944i	$0.376728\pi$
$662$	9.66339	−	2.08458i	0.375578	−	0.0810196i
$663$	−16.2753	−	8.87402i	−0.632080	−	0.344638i
$664$	−29.4760	+	3.36871i	−1.14389	+	0.130731i
$665$	−37.0203	+	26.5549i	−1.43559	+	1.02976i
$666$	−26.4594	−	7.10419i	−1.02528	−	0.275282i
$667$	4.37299	−	2.52475i	0.169323	−	0.0977587i
$668$	16.5462	+	11.8693i	0.640193	+	0.459237i
$669$	−9.27758	+	5.66279i	−0.358692	+	0.218936i
$670$	3.79759	+	1.22123i	0.146714	+	0.0471801i
$671$	−15.4003	−	26.6741i	−0.594523	−	1.02974i
$672$	−9.74557	+	24.0213i	−0.375944	+	0.926643i
$673$	2.49434	−	4.32033i	0.0961499	−	0.166537i	−0.813938	−	0.580952i	$-0.802681\pi$
$673$	2.49434	−	4.32033i	0.0961499	−	0.166537i	0.910088	+	0.414415i	$0.136014\pi$
$674$	6.39736	−	5.79534i	0.246417	−	0.223228i
$675$	−16.4543	−	24.2151i	−0.633328	−	0.932039i
$676$	2.33732	−	23.6111i	0.0898968	−	0.908117i
$677$		−	3.17347i		−	0.121966i	−0.998139	−	0.0609831i	$-0.980576\pi$
$677$		−	3.17347i		−	0.121966i	0.998139	−	0.0609831i	$-0.0194236\pi$
$678$	−33.0024	+	7.96710i	−1.26745	+	0.305975i
$679$	−1.73758	−	17.5568i	−0.0666823	−	0.673767i
$680$	7.88789	−	18.1581i	0.302487	−	0.696331i
$681$	30.3638	−	0.741443i	1.16354	−	0.0284122i
$682$	−12.6309	−	13.9430i	−0.483661	−	0.533903i
$683$	9.71480	−	16.8265i	0.371727	−	0.643849i	−0.618105	−	0.786096i	$-0.712099\pi$
$683$	9.71480	−	16.8265i	0.371727	−	0.643849i	0.989831	+	0.142246i	$0.0454325\pi$
$684$	−31.6437	−	1.57854i	−1.20993	−	0.0603569i
$685$	−52.8911			−2.02086
$686$	−22.8789	+	12.7497i	−0.873520	+	0.486787i
$687$	−1.03812	−	1.70079i	−0.0396067	−	0.0648892i
$688$	6.38416	−	2.16007i	0.243394	−	0.0823518i
$689$		−	13.3273i		−	0.507731i
$690$	5.40136	−	1.30394i	0.205626	−	0.0496402i
$691$		−	34.9549i		−	1.32975i	−0.746955	−	0.664874i	$-0.768485\pi$
$691$		−	34.9549i		−	1.32975i	0.746955	−	0.664874i	$-0.231515\pi$
$692$	9.56226	+	21.1322i	0.363503	+	0.803327i
$693$	4.07070	+	27.4021i	0.154633	+	1.04092i
$694$	−0.510324	−	2.36568i	−0.0193716	−	0.0898001i
$695$	−56.1633			−2.13040
$696$	−32.9531	−	13.3684i	−1.24908	−	0.506727i
$697$	0.0328521			0.00124436
$698$	13.6505	+	4.38972i	0.516680	+	0.166153i
$699$	−0.180151	−	7.37759i	−0.00681392	−	0.279046i
$700$	−29.8138		0.000681583i	−1.12685		2.57614e-5i
$701$			30.8557i			1.16540i	0.812686	+	0.582701i	$0.198004\pi$
$701$			30.8557i			1.16540i	−0.812686	+	0.582701i	$0.801996\pi$
$702$	−25.2829	+	26.5215i	−0.954240	+	1.00099i
$703$	−29.5302	−	17.0493i	−1.11375	−	0.643025i
$704$	27.2018	−	6.29989i	1.02521	−	0.237436i
$705$	26.6121	−	16.2433i	1.00227	−	0.611758i
$706$	−7.19214	−	7.93926i	−0.270680	−	0.298798i
$707$	3.19799	−	7.06701i	0.120273	−	0.265782i
$708$	−1.71510	+	23.0543i	−0.0644575	+	0.866434i
$709$	36.6341			1.37582			0.687910	−	0.725796i	$-0.258528\pi$
$709$	36.6341			1.37582			0.687910	+	0.725796i	$0.258528\pi$
$710$	−16.8491	+	52.3947i	−0.632334	+	1.96634i
$711$	35.1299	−	22.6376i	1.31748	−	0.848977i
$712$	−10.5929	−	4.60155i	−0.396985	−	0.172450i
$713$	−2.29617	−	1.32569i	−0.0859921	−	0.0496476i
$714$	13.6649	+	2.60073i	0.511396	+	0.0973300i
$715$	49.1493	−	28.3763i	1.83808	−	1.06122i
$716$	−0.846205	+	8.54818i	−0.0316242	+	0.319460i
$717$	32.8710	−	0.802664i	1.22759	−	0.0299761i
$718$	−2.01644	+	1.82668i	−0.0752528	+	0.0681712i
$719$	−7.22758	−	12.5185i	−0.269543	−	0.466863i	0.699201	−	0.714925i	$-0.253539\pi$
$719$	−7.22758	−	12.5185i	−0.269543	−	0.466863i	−0.968744	+	0.248063i	$0.920206\pi$
$720$	−30.6213	−	24.3654i	−1.14119	−	0.908043i
$721$	−44.4381	+	4.39802i	−1.65496	+	0.163791i
$722$	−11.9604	−	3.84620i	−0.445118	−	0.143141i
$723$	−50.8529	+	1.24176i	−1.89124	+	0.0461815i
$724$	−23.9195	+	10.8235i	−0.888961	+	0.402251i
$725$		−	40.8990i		−	1.51895i
$726$	2.09712	−	1.99511i	0.0778312	−	0.0740454i
$727$	14.5736	+	8.41407i	0.540505	+	0.312060i	0.745283	−	0.666748i	$-0.232314\pi$
$727$	14.5736	+	8.41407i	0.540505	+	0.312060i	−0.204779	+	0.978808i	$0.565648\pi$
$728$	7.86755	+	36.4752i	0.291591	+	1.35186i
$729$	26.7108	−	3.94091i	0.989291	−	0.145959i
$730$	−5.71644	−	6.31026i	−0.211575	−	0.233553i
$731$	−1.80825	−	3.13198i	−0.0668805	−	0.115840i
$732$	−2.26796	+	30.4858i	−0.0838263	+	1.12679i
$733$	10.5372	−	18.2509i	0.389199	−	0.674113i	−0.603143	−	0.797633i	$-0.706085\pi$
$733$	10.5372	−	18.2509i	0.389199	−	0.674113i	0.992342	+	0.123521i	$0.0394185\pi$
$734$	−9.75371	−	10.7669i	−0.360016	−	0.397415i
$735$	−8.69429	−	38.5700i	−0.320694	−	1.42268i
$736$	3.37770	−	2.01882i	0.124504	−	0.0744149i
$737$	2.61453	−	1.50950i	0.0963073	−	0.0556031i
$738$	0.0168388	−	0.0627156i	0.000619843	−	0.00230859i
$739$	−14.9950	−	8.65737i	−0.551600	−	0.318467i	0.198167	−	0.980168i	$-0.436501\pi$
$739$	−14.9950	−	8.65737i	−0.551600	−	0.318467i	−0.749767	+	0.661702i	$0.769835\pi$
$740$	−17.3624	−	38.3702i	−0.638254	−	1.41052i
$741$	−38.9269	+	23.7600i	−1.43002	+	0.872845i
$742$	3.06137	+	9.52056i	0.112387	+	0.349511i
$743$	13.0581	+	22.6172i	0.479054	+	0.829745i	0.999711	−	0.0240202i	$-0.00764661\pi$
$743$	13.0581	+	22.6172i	0.479054	+	0.829745i	−0.520658	+	0.853765i	$0.674313\pi$
$744$	2.57247	+	18.4945i	0.0943113	+	0.678043i
$745$	−4.80842	−	8.32843i	−0.176167	−	0.305130i
$746$	18.5817	+	5.97548i	0.680324	+	0.218778i
$747$	31.4300	−	1.53587i	1.14996	−	0.0561946i
$748$	−6.17672	−	13.6503i	−0.225843	−	0.499105i
$749$	7.90127	+	3.57551i	0.288706	+	0.130646i
$750$	1.43284	−	4.85964i	0.0523200	−	0.177449i
$751$	1.47903	+	0.853918i	0.0539706	+	0.0311599i	0.526742	−	0.850025i	$-0.323413\pi$
$751$	1.47903	+	0.853918i	0.0539706	+	0.0311599i	−0.472772	+	0.881185i	$0.656747\pi$
$752$	14.5745	−	16.5858i	0.531477	−	0.604821i
$753$	6.97364	−	12.7899i	0.254133	−	0.466091i
$754$	−50.0370	+	10.7940i	−1.82224	+	0.393093i
$755$	6.26097			0.227860
$756$	11.9690	−	24.7537i	0.435308	−	0.900282i
$757$	50.5016			1.83551			0.917757	−	0.397143i	$-0.129998\pi$
$757$	50.5016			1.83551			0.917757	+	0.397143i	$0.129998\pi$
$758$	−30.2290	+	6.52099i	−1.09797	+	0.236853i
$759$	2.01308	−	3.69207i	0.0730701	−	0.134013i
$760$	−28.9845	−	39.1419i	−1.05138	−	1.41983i
$761$	43.4046	+	25.0596i	1.57341	+	0.908411i	0.995746	+	0.0921394i	$0.0293705\pi$
$761$	43.4046	+	25.0596i	1.57341	+	0.908411i	0.577668	+	0.816272i	$0.303963\pi$
$762$	−6.36260	+	21.5794i	−0.230493	+	0.781741i
$763$	2.66997	+	26.9777i	0.0966594	+	0.976660i
$764$	−31.9379	+	14.4518i	−1.15547	+	0.522848i
$765$	−9.59904	+	18.6758i	−0.347054	+	0.675225i
$766$	−11.8539	−	3.81197i	−0.428299	−	0.137732i
$767$	16.6383	+	28.8184i	0.600774	+	1.04057i
$768$	−25.8347	−	10.0284i	−0.932230	−	0.361867i
$769$	−26.5257	−	45.9439i	−0.956542	−	1.65678i	−0.730799	−	0.682592i	$-0.760852\pi$
$769$	−26.5257	−	45.9439i	−0.956542	−	1.65678i	−0.225743	−	0.974187i	$-0.572481\pi$
$770$	−28.5922	+	31.5609i	−1.03039	+	1.13738i
$771$	−11.7832	+	7.19214i	−0.424360	+	0.259018i
$772$	22.8982	−	10.3614i	0.824126	−	0.372914i
$773$	17.0231	+	9.82827i	0.612277	+	0.353498i	0.773856	−	0.633361i	$-0.218325\pi$
$773$	17.0231	+	9.82827i	0.612277	+	0.353498i	−0.161579	+	0.986860i	$0.551659\pi$
$774$	−6.90588	+	1.84667i	−0.248227	+	0.0663770i
$775$	−18.5981	+	10.7376i	−0.668062	+	0.385706i
$776$	18.7387	−	2.14158i	0.672680	−	0.0768783i
$777$	23.6171	−	17.8297i	0.847259	−	0.639637i
$778$	−33.0231	−	36.4535i	−1.18393	−	1.30692i
$779$	0.0404111	−	0.0699941i	0.00144788	−	0.00250780i
$780$	−56.1726	−	4.17891i	−2.01130	−	0.149629i
$781$	20.8263	+	36.0721i	0.745222	+	1.29076i
$782$	−1.41763	−	1.56489i	−0.0506943	−	0.0559604i
$783$	33.9578	+	16.4185i	1.21355	+	0.586748i
$784$	−13.9989	−	24.2494i	−0.499960	−	0.866048i
$785$	34.0417	+	19.6540i	1.21500	+	0.701481i
$786$	−13.8923	+	13.2166i	−0.495522	+	0.471420i
$787$			9.02326i			0.321644i	0.986983	+	0.160822i	$0.0514146\pi$
$787$			9.02326i			0.321644i	−0.986983	+	0.160822i	$0.948585\pi$
$788$	−12.3859	−	27.3724i	−0.441229	−	0.975100i
$789$	−45.6300	+	1.11422i	−1.62447	+	0.0396674i
$790$	61.1606	+	19.6680i	2.17600	+	0.699756i
$791$	15.1184	−	33.4091i	0.537549	−	1.18789i
$792$	−29.2248	+	4.79490i	−1.03846	+	0.170379i
$793$	22.0016	+	38.1079i	0.781301	+	1.35325i
$794$	16.3164	−	14.7810i	0.579048	−	0.524557i
$795$	−15.0921	+	0.368528i	−0.535261	+	0.0130704i
$796$	40.5975	+	4.01885i	1.43894	+	0.142444i
$797$	−6.91765	+	3.99391i	−0.245036	+	0.141472i	−0.617489	−	0.786579i	$-0.711850\pi$
$797$	−6.91765	+	3.99391i	−0.245036	+	0.141472i	0.372453	+	0.928051i	$0.378517\pi$
$798$	22.3502	−	25.9150i	0.791187	−	0.917383i
$799$	−10.2605	−	5.92389i	−0.362990	−	0.209572i
$800$	−0.481950	−	31.8686i	−0.0170395	−	1.12673i
$801$	10.8949	+	5.59978i	0.384952	+	0.197859i
$802$	−0.716046	+	2.22666i	−0.0252845	+	0.0786259i
$803$	−6.44385			−0.227398
$804$	−2.98814	−	0.222300i	−0.105384	−	0.00783990i
$805$	−2.47437	+	5.46793i	−0.0872101	+	0.192719i
$806$	18.0450	+	19.9196i	0.635610	+	0.701637i
$807$	−13.2427	+	8.08299i	−0.466165	+	0.284535i
$808$	7.60586	+	3.30399i	0.267573	+	0.116234i
$809$	3.62158	+	2.09092i	0.127328	+	0.0735128i	0.562311	−	0.826926i	$-0.309912\pi$
$809$	3.62158	+	2.09092i	0.127328	+	0.0735128i	−0.434983	+	0.900439i	$0.643246\pi$
$810$	30.7325	+	27.8974i	1.07983	+	0.980213i
$811$			16.2233i			0.569676i	0.958576	+	0.284838i	$0.0919397\pi$
$811$			16.2233i			0.569676i	−0.958576	+	0.284838i	$0.908060\pi$
$812$	33.2652	−	19.2046i	1.16738	−	0.673951i
$813$	−1.15744	−	47.4000i	−0.0405933	−	1.66239i
$814$	−30.3430	−	9.75769i	−1.06352	−	0.342007i
$815$	32.4915			1.13813
$816$	−2.55875	+	14.6488i	−0.0895742	+	0.512811i
$817$	−8.89725			−0.311275
$818$	−1.17377	−	5.44120i	−0.0410400	−	0.190247i
$819$	−5.81560	−	39.1480i	−0.203213	−	1.36794i
$820$	0.0909473	−	0.0411533i	0.00317602	−	0.00143714i
$821$			14.3394i			0.500448i	0.968188	+	0.250224i	$0.0805043\pi$
$821$			14.3394i			0.500448i	−0.968188	+	0.250224i	$0.919496\pi$
$822$	38.6193	−	9.32307i	1.34700	−	0.325179i
$823$		−	20.9895i		−	0.731648i	−0.930684	−	0.365824i	$-0.880787\pi$
$823$		−	20.9895i		−	0.731648i	0.930684	−	0.365824i	$-0.119213\pi$
$824$	−5.42058	−	47.4297i	−0.188835	−	1.65229i
$825$	−17.7453	−	29.0728i	−0.617812	−	1.01219i
$826$	−18.5055	−	16.7649i	−0.643890	−	0.583324i
$827$	54.7693			1.90451			0.952257	−	0.305297i	$-0.0987557\pi$
$827$	54.7693			1.90451			0.952257	+	0.305297i	$0.0987557\pi$
$828$	−3.71405	+	1.90419i	−0.129072	+	0.0661751i
$829$	−8.48567	+	14.6976i	−0.294719	+	0.510469i	−0.974920	−	0.222557i	$-0.928560\pi$
$829$	−8.48567	+	14.6976i	−0.294719	+	0.510469i	0.680200	+	0.733026i	$0.261893\pi$
$830$	32.4769	+	35.8506i	1.12729	+	1.24439i
$831$	−22.4548	+	0.548317i	−0.778950	+	0.0190209i
$832$	−38.8618	+	9.00033i	−1.34729	+	0.312030i
$833$	−11.2868	+	9.91718i	−0.391064	+	0.343610i
$834$	41.0086	−	9.89987i	1.42001	−	0.342805i
$835$		−	33.2024i		−	1.14902i
$836$	−36.6811	−	3.63115i	−1.26864	−	0.125586i
$837$	−1.44927	−	19.7522i	−0.0500941	−	0.682735i
$838$	14.5670	−	13.1962i	0.503210	−	0.455855i
$839$	15.1602	−	26.2582i	0.523387	−	0.906533i	−0.476242	−	0.879314i	$-0.658001\pi$
$839$	15.1602	−	26.2582i	0.523387	−	0.906533i	0.999629	−	0.0272192i	$-0.00866520\pi$
$840$	41.0876	−	9.91796i	1.41766	−	0.342202i
$841$	11.8463	+	20.5183i	0.408492	+	0.707529i
$842$	−3.90573	−	1.25600i	−0.134600	−	0.0432847i
$843$	−41.6667	+	25.4322i	−1.43508	+	0.875933i
$844$	−16.0684	+	22.3999i	−0.553097	+	0.771038i
$845$	−33.5033	+	19.3431i	−1.15255	+	0.665424i
$846$	−16.5680	+	16.5512i	−0.569620	+	0.569042i
$847$	0.307919	+	3.11126i	0.0105802	+	0.106904i
$848$	−10.1272	+	3.42651i	−0.347769	+	0.117667i
$849$	−23.4802	−	12.8025i	−0.805840	−	0.439380i
$850$	−16.7180	+	3.60640i	−0.573423	+	0.123699i
$851$	−4.49193			−0.153981
$852$	3.06703	−	41.2268i	0.105075	−	1.41241i
$853$	−11.3540	+	19.6657i	−0.388754	+	0.673342i	−0.992282	−	0.124000i	$-0.960428\pi$
$853$	−11.3540	+	19.6657i	−0.388754	+	0.673342i	0.603528	+	0.797342i	$0.293761\pi$
$854$	−24.4708	−	22.1690i	−0.837374	−	0.758608i
$855$	27.9826	+	43.4245i	0.956985	+	1.48509i
$856$	−3.69403	+	8.50373i	−0.126259	+	0.290652i
$857$	−31.3876	+	18.1217i	−1.07218	+	0.619024i	−0.928777	−	0.370640i	$-0.879138\pi$
$857$	−31.3876	+	18.1217i	−1.07218	+	0.619024i	−0.143405	+	0.989664i	$0.545805\pi$
$858$	−30.8853	+	29.3830i	−1.05441	+	1.00312i
$859$	−10.3376	−	5.96844i	−0.352716	−	0.203641i	0.313165	−	0.949699i	$-0.398611\pi$
$859$	−10.3376	−	5.96844i	−0.352716	−	0.203641i	−0.665881	+	0.746058i	$0.731944\pi$
$860$	−8.92931	−	6.40536i	−0.304487	−	0.218421i
$861$	0.0422610	+	0.0559786i	0.00144025	+	0.00190775i
$862$	38.6309	+	12.4229i	1.31578	+	0.423126i
$863$	−6.05378	−	10.4855i	−0.206073	−	0.356929i	0.744401	−	0.667733i	$-0.232735\pi$
$863$	−6.05378	−	10.4855i	−0.206073	−	0.356929i	−0.950474	+	0.310804i	$0.899402\pi$
$864$	26.6535	+	12.3932i	0.906771	+	0.421624i
$865$	18.9099	−	32.7528i	0.642955	−	1.11363i
$866$	−8.97016	−	41.5825i	−0.304818	−	1.41303i
$867$	−21.4589	+	0.523998i	−0.728784	+	0.0177959i
$868$	−17.4664	−	10.0848i	−0.592848	−	0.342299i
$869$	42.1072	−	24.3106i	1.42839	−	0.824681i
$870$	13.6069	+	56.3643i	0.461317	+	1.91093i
$871$	−3.73524	+	2.15654i	−0.126564	+	0.0730716i
$872$	−28.7939	+	3.29075i	−0.975084	+	0.111439i
$873$	−19.9809	+	0.976396i	−0.676252	+	0.0330460i
$874$	−5.07794	+	1.09541i	−0.171764	+	0.0370529i
$875$	3.18967	+	4.44673i	0.107830	+	0.150327i
$876$	5.28626	+	3.59991i	0.178606	+	0.121630i
$877$	5.07313	−	8.78692i	0.171308	−	0.296713i	−0.767570	−	0.640965i	$-0.778534\pi$
$877$	5.07313	−	8.78692i	0.171308	−	0.296713i	0.938877	+	0.344252i	$0.111867\pi$
$878$	−9.79168	+	2.11226i	−0.330453	+	0.0712852i
$879$	0.456086	+	18.6778i	0.0153834	+	0.629986i
$880$	−34.1991	−	30.0519i	−1.15285	−	1.01305i
$881$		−	18.2971i		−	0.616447i	−0.951314	−	0.308223i	$-0.900266\pi$
$881$		−	18.2971i		−	0.616447i	0.951314	−	0.308223i	$-0.0997344\pi$
$882$	13.1470	+	26.6300i	0.442682	+	0.896679i
$883$		−	7.23069i		−	0.243332i	−0.992571	−	0.121666i	$-0.961176\pi$
$883$		−	7.23069i		−	0.243332i	0.992571	−	0.121666i	$-0.0388237\pi$
$884$	8.82435	+	19.5015i	0.296795	+	0.655907i
$885$	32.1743	−	19.6384i	1.08153	−	0.660136i
$886$	−5.48853	−	25.4429i	−0.184391	−	0.854770i
$887$	−22.0132	+	38.1280i	−0.739132	+	1.28021i	0.213755	+	0.976887i	$0.431431\pi$
$887$	−22.0132	+	38.1280i	−0.739132	+	1.28021i	−0.952887	+	0.303326i	$0.901903\pi$
$888$	19.4409	+	24.9562i	0.652394	+	0.837475i
$889$	−14.1638	−	19.7459i	−0.475040	−	0.662255i
$890$	3.97088	+	18.4076i	0.133104	+	0.617025i
$891$	31.2624	−	3.06268i	1.04733	−	0.102603i
$892$	12.4897	+	1.23638i	0.418186	+	0.0413972i
$893$	−25.2427	+	14.5739i	−0.844714	+	0.487696i
$894$	4.97899	+	5.23356i	0.166522	+	0.175036i
$895$	12.1296	−	7.00301i	0.405447	−	0.234085i
$896$	25.6940	−	15.3563i	0.858377	−	0.513019i
$897$	−2.87598	+	5.27466i	−0.0960262	+	0.176116i
$898$	11.9941	−	2.58736i	0.400247	−	0.0863412i
$899$	13.8339	−	23.9610i	0.461385	−	0.799143i
$900$	−1.68429	+	33.7637i	−0.0561430	+	1.12546i
$901$	2.86842	+	4.96825i	0.0955609	+	0.165516i
$902$	0.0231282	−	0.0719208i	0.000770086	−	0.00239470i
$903$	3.01063	−	7.11016i	0.100187	−	0.236611i
$904$	35.9565	+	15.6195i	1.19590	+	0.519498i
$905$	37.0728	+	21.4040i	1.23234	+	0.711493i
$906$	−4.57155	+	1.10362i	−0.151879	+	0.0366652i
$907$	−44.0560	+	25.4357i	−1.46285	+	0.844580i	−0.999142	−	0.0414062i	$-0.986816\pi$
$907$	−44.0560	+	25.4357i	−1.46285	+	0.844580i	−0.463712	+	0.885986i	$0.653483\pi$
$908$	−28.4977	−	20.4426i	−0.945729	−	0.678410i
$909$	−7.82271	−	4.02074i	−0.259463	−	0.133360i
$910$	40.8482	−	45.0894i	1.35410	−	1.49470i
$911$	−20.5992	+	35.6788i	−0.682480	+	1.18209i	0.291741	+	0.956497i	$0.405765\pi$
$911$	−20.5992	+	35.6788i	−0.682480	+	1.18209i	−0.974222	+	0.225594i	$0.927568\pi$
$912$	28.0630	+	23.4710i	0.929259	+	0.777203i
$913$	36.6096			1.21160
$914$	7.20453	+	33.3977i	0.238305	+	1.10470i
$915$	42.5457	−	25.9688i	1.40652	−	0.858501i
$916$	−0.226657	+	2.28964i	−0.00748897	+	0.0756519i
$917$	−2.03981	−	20.6105i	−0.0673604	−	0.680618i
$918$	3.71692	−	15.3285i	0.122677	−	0.505914i
$919$	28.8143	−	16.6359i	0.950495	−	0.548769i	0.0572603	−	0.998359i	$-0.481763\pi$
$919$	28.8143	−	16.6359i	0.950495	−	0.548769i	0.893235	+	0.449591i	$0.148430\pi$
$920$	−5.88486	−	2.55638i	−0.194018	−	0.0842815i
$921$	25.0801	+	13.6748i	0.826419	+	0.450600i
$922$	8.40719	−	26.1434i	0.276876	−	0.860988i
$923$	−29.7534	−	51.5344i	−0.979345	−	1.69627i
$924$	15.3138	−	28.0847i	0.503789	−	0.923917i
$925$	−18.1915	+	31.5085i	−0.598131	+	1.03599i
$926$	26.1167	+	28.8297i	0.858248	+	0.947403i
$927$	2.47137	+	50.5739i	0.0811704	+	1.66107i
$928$	21.0668	+	35.2470i	0.691553	+	1.15704i
$929$			56.0876i			1.84017i	0.391715	+	0.920087i	$0.371882\pi$
$929$			56.0876i			1.84017i	−0.391715	+	0.920087i	$0.628118\pi$
$930$	22.0583	−	20.9853i	0.723319	−	0.688136i
$931$	7.24555	+	36.2465i	0.237463	+	1.18793i
$932$	−4.96699	+	6.92416i	−0.162699	+	0.226808i
$933$	4.71972	−	8.65616i	0.154517	−	0.283390i
$934$	−37.3149	+	33.8034i	−1.22098	+	1.10608i
$935$	−12.2148	+	21.1566i	−0.399466	+	0.691896i
$936$	41.7520	−	6.85022i	1.36471	−	0.223906i
$937$	−5.66894			−0.185196			−0.0925982	−	0.995704i	$-0.529517\pi$
$937$	−5.66894			−0.185196			−0.0925982	+	0.995704i	$0.529517\pi$
$938$	2.17295	−	2.39856i	0.0709492	−	0.0783158i
$939$	−3.65036	+	6.69490i	−0.119125	+	0.218480i
$940$	−35.8258	−	3.54648i	−1.16851	−	0.115673i
$941$		−	33.4443i		−	1.09025i	−0.838353	−	0.545127i	$-0.816481\pi$
$941$		−	33.4443i		−	1.09025i	0.838353	−	0.545127i	$-0.183519\pi$
$942$	−28.3205	−	8.35017i	−0.922732	−	0.272063i
$943$		−	0.0106470i		−	0.000346715i
$944$	17.6207	−	20.0524i	0.573506	−	0.652650i
$945$	−44.1710	+	7.66820i	−1.43688	+	0.249447i
$946$	−8.12965	+	1.75372i	−0.264318	+	0.0570185i
$947$	−27.0212			−0.878071			−0.439035	−	0.898470i	$-0.644680\pi$
$947$	−27.0212			−0.878071			−0.439035	+	0.898470i	$0.644680\pi$
$948$	−48.1243	−	3.58016i	−1.56300	−	0.116278i
$949$	9.20598			0.298839
$950$	−12.8809	+	40.0553i	−0.417913	+	1.29956i
$951$	−9.85722	−	5.37459i	−0.319642	−	0.174283i
$952$	−10.7834	−	11.9042i	−0.349493	−	0.385816i
$953$		−	22.7071i		−	0.735554i	−0.929914	−	0.367777i	$-0.880119\pi$
$953$		−	22.7071i		−	0.735554i	0.929914	−	0.367777i	$-0.119881\pi$
$954$	10.9548	−	2.92936i	0.354674	−	0.0948415i
$955$	49.5006	+	28.5792i	1.60180	+	0.924801i
$956$	−30.8507	−	22.1305i	−0.997784	−	0.715751i
$957$	38.5274	+	21.0069i	1.24542	+	0.679056i
$958$	3.76354	−	3.40937i	0.121595	−	0.110152i
$959$	−17.6915	+	39.0952i	−0.571289	+	1.26245i
$960$	11.2667	+	43.7589i	0.363632	+	1.41231i
$961$	16.4723			0.531363
$962$	43.3495	+	13.9403i	1.39764	+	0.449453i
$963$	4.49539	−	8.74618i	0.144862	−	0.281842i
$964$	47.7275	+	34.2369i	1.53720	+	1.10270i
$965$	−35.4900	−	20.4901i	−1.14246	−	0.659601i
$966$	0.842872	−	4.42866i	0.0271190	−	0.142490i
$967$	30.4285	−	17.5679i	0.978516	−	0.564946i	0.0766939	−	0.997055i	$-0.475564\pi$
$967$	30.4285	−	17.5679i	0.978516	−	0.564946i	0.901822	+	0.432108i	$0.142230\pi$
$968$	−3.32071	+	0.379512i	−0.106732	+	0.0121980i
$969$	9.39761	−	17.2356i	0.301895	−	0.553687i
$970$	−20.6465	−	22.7913i	−0.662919	−	0.731783i
$971$	25.5778	+	44.3020i	0.820830	+	1.42172i	0.905065	+	0.425273i	$0.139822\pi$
$971$	25.5778	+	44.3020i	0.820830	+	1.42172i	−0.0842357	+	0.996446i	$0.526845\pi$
$972$	−27.3573	−	14.9525i	−0.877486	−	0.479602i
$973$	−18.7861	+	41.5140i	−0.602254	+	1.33088i
$974$	18.5723	−	57.7533i	0.595093	−	1.85053i
$975$	25.3518	+	41.5348i	0.811906	+	1.33018i
$976$	23.3008	−	26.5163i	0.745839	−	0.848766i
$977$			16.5112i			0.528241i	0.964490	+	0.264120i	$0.0850816\pi$
$977$			16.5112i			0.528241i	−0.964490	+	0.264120i	$0.914918\pi$
$978$	−23.7242	+	5.72725i	−0.758616	+	0.183137i
$979$	12.3421	+	7.12573i	0.394456	+	0.227739i
$980$	−18.8231	+	41.5934i	−0.601283	+	1.32865i
$981$	30.7027	−	1.50033i	0.980261	−	0.0479019i
$982$	30.4773	−	27.6093i	0.972570	−	0.881047i
$983$	7.91463	+	13.7085i	0.252438	+	0.437235i	0.964196	−	0.265189i	$-0.0854344\pi$
$983$	7.91463	+	13.7085i	0.252438	+	0.437235i	−0.711759	+	0.702424i	$0.752101\pi$
$984$	−0.0591526	+	0.0460800i	−0.00188572	+	0.00146898i
$985$	−24.4937	+	42.4244i	−0.780435	+	1.35175i
$986$	16.3300	−	14.7932i	0.520052	−	0.471112i
$987$	−3.10503	−	25.1039i	−0.0988342	−	0.799067i
$988$	52.4043	+	5.18763i	1.66720	+	0.165041i
$989$	−1.01504	+	0.586035i	−0.0322765	+	0.0186348i
$990$	34.1278	+	34.1625i	1.08465	+	1.08575i
$991$	−0.0465290	−	0.0268636i	−0.00147804	−	0.000853349i	0.499261	−	0.866452i	$-0.333605\pi$
$991$	−0.0465290	−	0.0268636i	−0.00147804	−	0.000853349i	−0.500739	+	0.865598i	$0.666938\pi$
$992$	10.4970	−	18.8335i	0.333281	−	0.597963i
$993$	10.6300	+	5.79595i	0.337333	+	0.183929i
$994$	33.0925	+	29.9797i	1.04963	+	0.950899i
$995$	−33.2591	−	57.6065i	−1.05439	−	1.82625i
$996$	−30.0329	−	20.4522i	−0.951629	−	0.648054i
$997$	−22.9416	−	39.7360i	−0.726567	−	1.25845i	−0.958326	−	0.285678i	$-0.907781\pi$
$997$	−22.9416	−	39.7360i	−0.726567	−	1.25845i	0.231759	−	0.972773i	$-0.425552\pi$
$998$	7.86365	−	24.4532i	0.248919	−	0.774053i
$999$	−18.8583	−	27.7528i	−0.596650	−	0.878061i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bb.a.11.19	yes	88
3.2	odd	2		756.2.bb.a.683.26		88
4.3	odd	2	inner	252.2.bb.a.11.26	yes	88
7.2	even	3		252.2.o.a.191.12	yes	88
9.4	even	3		756.2.o.a.179.42		88
9.5	odd	6		252.2.o.a.95.3	✓	88
12.11	even	2		756.2.bb.a.683.19		88
21.2	odd	6		756.2.o.a.359.33		88
28.23	odd	6		252.2.o.a.191.3	yes	88
36.23	even	6		252.2.o.a.95.12	yes	88
36.31	odd	6		756.2.o.a.179.33		88
63.23	odd	6	inner	252.2.bb.a.23.26	yes	88
63.58	even	3		756.2.bb.a.611.19		88
84.23	even	6		756.2.o.a.359.42		88
252.23	even	6	inner	252.2.bb.a.23.19	yes	88
252.247	odd	6		756.2.bb.a.611.26		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.3	✓	88	9.5	odd	6
252.2.o.a.95.12	yes	88	36.23	even	6
252.2.o.a.191.3	yes	88	28.23	odd	6
252.2.o.a.191.12	yes	88	7.2	even	3
252.2.bb.a.11.19	yes	88	1.1	even	1	trivial
252.2.bb.a.11.26	yes	88	4.3	odd	2	inner
252.2.bb.a.23.19	yes	88	252.23	even	6	inner
252.2.bb.a.23.26	yes	88	63.23	odd	6	inner
756.2.o.a.179.33		88	36.31	odd	6
756.2.o.a.179.42		88	9.4	even	3
756.2.o.a.359.33		88	21.2	odd	6
756.2.o.a.359.42		88	84.23	even	6
756.2.bb.a.611.19		88	63.58	even	3
756.2.bb.a.611.26		88	252.247	odd	6
756.2.bb.a.683.19		88	12.11	even	2
756.2.bb.a.683.26		88	3.2	odd	2

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bb (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.298214 - 1.38241i) q^{2} +(0.829150 - 1.52069i) q^{3} +(-1.82214 + 0.824510i) q^{4} +(2.82413 + 1.63051i) q^{5} +(-2.34949 - 0.692737i) q^{6} +(2.14986 - 1.54211i) q^{7} +(1.68320 + 2.27307i) q^{8} +(-1.62502 - 2.52177i) q^{9} +O(q^{10})\)	\(q+(-0.298214 - 1.38241i) q^{2} +(0.829150 - 1.52069i) q^{3} +(-1.82214 + 0.824510i) q^{4} +(2.82413 + 1.63051i) q^{5} +(-2.34949 - 0.692737i) q^{6} +(2.14986 - 1.54211i) q^{7} +(1.68320 + 2.27307i) q^{8} +(-1.62502 - 2.52177i) q^{9} +(1.41185 - 4.39036i) q^{10} +(-1.74511 - 3.02263i) q^{11} +(-0.256998 + 3.45456i) q^{12} +(2.49315 + 4.31827i) q^{13} +(-2.77295 - 2.51212i) q^{14} +(4.82114 - 2.94270i) q^{15} +(2.64037 - 3.00474i) q^{16} +(-1.85883 - 1.07319i) q^{17} +(-3.00152 + 2.99848i) q^{18} +(-4.57306 + 2.64026i) q^{19} +(-6.49032 - 0.642493i) q^{20} +(-0.562518 - 4.54792i) q^{21} +(-3.65810 + 3.31386i) q^{22} +(-0.347811 + 0.602427i) q^{23} +(4.85227 - 0.674918i) q^{24} +(2.81714 + 4.87942i) q^{25} +(5.22614 - 4.73434i) q^{26} +(-5.18222 + 0.380233i) q^{27} +(-2.64586 + 4.58252i) q^{28} +(-6.28645 - 3.62948i) q^{29} +(-5.50575 - 5.78725i) q^{30} +3.81153i q^{31} +(-4.94119 - 2.75402i) q^{32} +(-6.04345 + 0.147573i) q^{33} +(-0.929271 + 2.88971i) q^{34} +(8.58591 - 0.849742i) q^{35} +(5.04023 + 3.25516i) q^{36} +(3.22871 + 5.59229i) q^{37} +(5.01367 + 5.53450i) q^{38} +(8.63396 - 0.210830i) q^{39} +(1.04731 + 9.16391i) q^{40} +(-0.0132552 + 0.00765288i) q^{41} +(-6.11936 + 2.13389i) q^{42} +(1.45919 + 0.842461i) q^{43} +(5.67202 + 4.06877i) q^{44} +(-0.477494 - 9.77141i) q^{45} +(0.936526 + 0.301167i) q^{46} +5.51987 q^{47} +(-2.38003 - 6.50657i) q^{48} +(2.24380 - 6.63064i) q^{49} +(5.90527 - 5.34956i) q^{50} +(-3.17325 + 1.93687i) q^{51} +(-8.10332 - 5.81284i) q^{52} +(-2.31470 - 1.33639i) q^{53} +(2.07105 + 7.05059i) q^{54} -11.3817i q^{55} +(7.12396 + 2.29110i) q^{56} +(0.223269 + 9.14339i) q^{57} +(-3.14274 + 9.77283i) q^{58} +6.67359 q^{59} +(-6.35849 + 9.33707i) q^{60} +8.82482 q^{61} +(5.26911 - 1.13665i) q^{62} +(-7.38241 - 2.91549i) q^{63} +(-2.33367 + 7.65206i) q^{64} +16.2605i q^{65} +(2.00625 + 8.31054i) q^{66} +0.864985i q^{67} +(4.27190 + 0.422886i) q^{68} +(0.627719 + 1.02842i) q^{69} +(-3.73513 - 11.6159i) q^{70} -11.9340 q^{71} +(2.99691 - 7.93842i) q^{72} +(0.923127 - 1.59890i) q^{73} +(6.76802 - 6.13112i) q^{74} +(9.75594 - 0.238227i) q^{75} +(6.15582 - 8.58144i) q^{76} +(-8.41297 - 3.80707i) q^{77} +(-2.86622 - 11.8728i) q^{78} +13.9307i q^{79} +(12.3560 - 4.18063i) q^{80} +(-3.71862 + 8.19584i) q^{81} +(0.0145323 + 0.0160420i) q^{82} +(-5.24458 + 9.08388i) q^{83} +(4.77479 + 7.82313i) q^{84} +(-3.49971 - 6.06168i) q^{85} +(0.729481 - 2.26843i) q^{86} +(-10.7317 + 6.55037i) q^{87} +(3.93326 - 9.05445i) q^{88} +(-3.53619 + 2.04162i) q^{89} +(-13.3657 + 3.57406i) q^{90} +(12.0192 + 5.43896i) q^{91} +(0.137053 - 1.38448i) q^{92} +(5.79616 + 3.16033i) q^{93} +(-1.64610 - 7.63075i) q^{94} -17.2199 q^{95} +(-8.28502 + 5.23054i) q^{96} +(3.33413 - 5.77488i) q^{97} +(-9.83542 - 1.12451i) q^{98} +(-4.78652 + 9.31260i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

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