LMFDB - Embedded newform 252.2.bj.b.103.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (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:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.12
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.05304 + 0.943979i) q^{2} +(-1.67837 + 0.427864i) q^{3} +(0.217806 - 1.98810i) q^{4} +(-2.49760 + 1.44199i) q^{5} +(1.36351 - 2.03491i) q^{6} +(-0.0846904 - 2.64440i) q^{7} +(1.64737 + 2.29917i) q^{8} +(2.63387 - 1.43623i) q^{9} +O(q^{10})$	\(q+(-1.05304 + 0.943979i) q^{2} +(-1.67837 + 0.427864i) q^{3} +(0.217806 - 1.98810i) q^{4} +(-2.49760 + 1.44199i) q^{5} +(1.36351 - 2.03491i) q^{6} +(-0.0846904 - 2.64440i) q^{7} +(1.64737 + 2.29917i) q^{8} +(2.63387 - 1.43623i) q^{9} +(1.26887 - 3.87616i) q^{10} +(-1.99249 - 1.15037i) q^{11} +(0.485078 + 3.42997i) q^{12} +(4.22314 + 2.43823i) q^{13} +(2.58544 + 2.70472i) q^{14} +(3.57492 - 3.48882i) q^{15} +(-3.90512 - 0.866042i) q^{16} +(3.54408 - 2.04617i) q^{17} +(-1.41781 + 3.99873i) q^{18} +(0.308511 - 0.534357i) q^{19} +(2.32283 + 5.27956i) q^{20} +(1.27358 + 4.40204i) q^{21} +(3.18411 - 0.669485i) q^{22} +(7.29149 - 4.20975i) q^{23} +(-3.74863 - 3.15401i) q^{24} +(1.65866 - 2.87288i) q^{25} +(-6.74880 + 1.41899i) q^{26} +(-3.80610 + 3.53746i) q^{27} +(-5.27578 - 0.407592i) q^{28} +(-0.811434 - 1.40545i) q^{29} +(-0.471175 + 7.04854i) q^{30} -1.64369 q^{31} +(4.92979 - 2.77437i) q^{32} +(3.83635 + 1.07823i) q^{33} +(-1.80053 + 5.50025i) q^{34} +(4.02471 + 6.48251i) q^{35} +(-2.28170 - 5.54922i) q^{36} +(4.02614 - 6.97347i) q^{37} +(0.179546 + 0.853930i) q^{38} +(-8.13124 - 2.28533i) q^{39} +(-7.42984 - 3.36690i) q^{40} +(-0.216148 - 0.124793i) q^{41} +(-5.49658 - 3.43331i) q^{42} +(6.51826 - 3.76332i) q^{43} +(-2.72103 + 3.71073i) q^{44} +(-4.50731 + 7.38512i) q^{45} +(-3.70435 + 11.3161i) q^{46} -2.95146 q^{47} +(6.92479 - 0.217319i) q^{48} +(-6.98566 + 0.447910i) q^{49} +(0.965299 + 4.59101i) q^{50} +(-5.07280 + 4.95063i) q^{51} +(5.76729 - 7.86499i) q^{52} +(-4.57041 - 7.91618i) q^{53} +(0.668697 - 7.31798i) q^{54} +6.63526 q^{55} +(5.94039 - 4.55102i) q^{56} +(-0.289164 + 1.02885i) q^{57} +(2.18119 + 0.714019i) q^{58} -1.52507 q^{59} +(-6.15751 - 7.86721i) q^{60} -9.68187i q^{61} +(1.73088 - 1.55161i) q^{62} +(-4.02102 - 6.84335i) q^{63} +(-2.57234 + 7.57516i) q^{64} -14.0636 q^{65} +(-5.05767 + 2.48601i) q^{66} +8.17342i q^{67} +(-3.29609 - 7.49167i) q^{68} +(-10.4366 + 10.1853i) q^{69} +(-10.3576 - 3.02713i) q^{70} -11.6557i q^{71} +(7.64108 + 3.68970i) q^{72} +(-4.66559 + 2.69368i) q^{73} +(2.34311 + 11.1440i) q^{74} +(-1.55465 + 5.53144i) q^{75} +(-0.995162 - 0.729738i) q^{76} +(-2.87328 + 5.36637i) q^{77} +(10.7199 - 5.26916i) q^{78} +2.37449i q^{79} +(11.0022 - 3.46811i) q^{80} +(4.87449 - 7.56567i) q^{81} +(0.345415 - 0.0726264i) q^{82} +(3.53143 + 6.11661i) q^{83} +(9.02912 - 1.57322i) q^{84} +(-5.90112 + 10.2210i) q^{85} +(-3.31152 + 10.1160i) q^{86} +(1.96323 + 2.01168i) q^{87} +(-0.637490 - 6.47616i) q^{88} +(12.0481 + 6.95597i) q^{89} +(-2.22501 - 12.0317i) q^{90} +(6.08999 - 11.3742i) q^{91} +(-6.78129 - 15.4132i) q^{92} +(2.75873 - 0.703277i) q^{93} +(3.10802 - 2.78612i) q^{94} +1.77948i q^{95} +(-7.08697 + 6.76571i) q^{96} +(10.3880 - 5.99749i) q^{97} +(6.93339 - 7.06598i) q^{98} +(-6.90015 - 0.168234i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

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 $

$2$	−1.05304	+	0.943979i	−0.744615	+	0.667494i
$2$	−1.05304	+	0.943979i	−0.744615	+	0.667494i
$3$	−1.67837	+	0.427864i	−0.969009	+	0.247027i
$3$	−1.67837	+	0.427864i	−0.969009	+	0.247027i
$4$	0.217806	−	1.98810i	0.108903	−	0.994052i
$5$	−2.49760	+	1.44199i	−1.11696	+	0.644877i	−0.940623	−	0.339453i	$-0.889758\pi$
$5$	−2.49760	+	1.44199i	−1.11696	+	0.644877i	−0.176336	+	0.984330i	$0.556425\pi$
$6$	1.36351	−	2.03491i	0.556649	−	0.830748i
$7$	−0.0846904	−	2.64440i	−0.0320099	−	0.999488i
$7$	−0.0846904	−	2.64440i	−0.0320099	−	0.999488i
$8$	1.64737	+	2.29917i	0.582433	+	0.812878i
$9$	2.63387	−	1.43623i	0.877955	−	0.478743i
$10$	1.26887	−	3.87616i	0.401253	−	1.22575i
$11$	−1.99249	−	1.15037i	−0.600760	−	0.346849i	0.168581	−	0.985688i	$-0.446082\pi$
$11$	−1.99249	−	1.15037i	−0.600760	−	0.346849i	−0.769340	+	0.638839i	$0.779415\pi$
$12$	0.485078	+	3.42997i	0.140030	+	0.990147i
$13$	4.22314	+	2.43823i	1.17129	+	0.676244i	0.953983	−	0.299859i	$-0.0969397\pi$
$13$	4.22314	+	2.43823i	1.17129	+	0.676244i	0.217306	+	0.976104i	$0.430273\pi$
$14$	2.58544	+	2.70472i	0.690987	+	0.722867i
$15$	3.57492	−	3.48882i	0.923041	−	0.900810i
$16$	−3.90512	−	0.866042i	−0.976280	−	0.216511i
$17$	3.54408	−	2.04617i	0.859565	−	0.496270i	−0.00430136	−	0.999991i	$-0.501369\pi$
$17$	3.54408	−	2.04617i	0.859565	−	0.496270i	0.863867	+	0.503720i	$0.168036\pi$
$18$	−1.41781	+	3.99873i	−0.334180	+	0.942509i
$19$	0.308511	−	0.534357i	0.0707773	−	0.122590i	−0.828465	−	0.560041i	$-0.810785\pi$
$19$	0.308511	−	0.534357i	0.0707773	−	0.122590i	0.899242	+	0.437451i	$0.144119\pi$
$20$	2.32283	+	5.27956i	0.519401	+	1.18054i
$21$	1.27358	+	4.40204i	0.277919	+	0.960605i
$22$	3.18411	−	0.669485i	0.678854	−	0.142735i
$23$	7.29149	−	4.20975i	1.52038	−	0.877793i	0.520670	−	0.853758i	$-0.325682\pi$
$23$	7.29149	−	4.20975i	1.52038	−	0.877793i	0.999711	−	0.0240349i	$-0.00765129\pi$
$24$	−3.74863	−	3.15401i	−0.765186	−	0.643809i
$25$	1.65866	−	2.87288i	0.331732	−	0.574576i
$26$	−6.74880	+	1.41899i	−1.32355	+	0.278287i
$27$	−3.80610	+	3.53746i	−0.732483	+	0.680785i
$28$	−5.27578	−	0.407592i	−0.997029	−	0.0770276i
$29$	−0.811434	−	1.40545i	−0.150680	−	0.260985i	0.780798	−	0.624784i	$-0.214813\pi$
$29$	−0.811434	−	1.40545i	−0.150680	−	0.260985i	−0.931477	+	0.363799i	$0.881479\pi$
$30$	−0.471175	+	7.04854i	−0.0860244	+	1.28688i
$31$	−1.64369			−0.295216			−0.147608	−	0.989046i	$-0.547157\pi$
$31$	−1.64369			−0.295216			−0.147608	+	0.989046i	$0.547157\pi$
$32$	4.92979	−	2.77437i	0.871472	−	0.490444i
$33$	3.83635	+	1.07823i	0.667822	+	0.187695i
$34$	−1.80053	+	5.50025i	−0.308788	+	0.943285i
$35$	4.02471	+	6.48251i	0.680300	+	1.09574i
$36$	−2.28170	−	5.54922i	−0.380284	−	0.924870i
$37$	4.02614	−	6.97347i	0.661893	−	1.14643i	−0.318225	−	0.948015i	$-0.603087\pi$
$37$	4.02614	−	6.97347i	0.661893	−	1.14643i	0.980118	−	0.198416i	$-0.0635799\pi$
$38$	0.179546	+	0.853930i	0.0291262	+	0.138526i
$39$	−8.13124	−	2.28533i	−1.30204	−	0.365946i
$40$	−7.42984	−	3.36690i	−1.17476	−	0.532354i
$41$	−0.216148	−	0.124793i	−0.0337566	−	0.0194894i	0.483027	−	0.875606i	$-0.339537\pi$
$41$	−0.216148	−	0.124793i	−0.0337566	−	0.0194894i	−0.516783	+	0.856116i	$0.672871\pi$
$42$	−5.49658	−	3.43331i	−0.848140	−	0.529772i
$43$	6.51826	−	3.76332i	0.994026	−	0.573901i	0.0875504	−	0.996160i	$-0.472096\pi$
$43$	6.51826	−	3.76332i	0.994026	−	0.573901i	0.906475	+	0.422259i	$0.138763\pi$
$44$	−2.72103	+	3.71073i	−0.410210	+	0.559414i
$45$	−4.50731	+	7.38512i	−0.671910	+	1.10091i
$46$	−3.70435	+	11.3161i	−0.546177	+	1.66846i
$47$	−2.95146			−0.430514			−0.215257	−	0.976557i	$-0.569059\pi$
$47$	−2.95146			−0.430514			−0.215257	+	0.976557i	$0.569059\pi$
$48$	6.92479	−	0.217319i	0.999508	−	0.0313673i
$49$	−6.98566	+	0.447910i	−0.997951	+	0.0639871i
$50$	0.965299	+	4.59101i	0.136514	+	0.649267i
$51$	−5.07280	+	4.95063i	−0.710334	+	0.693226i
$52$	5.76729	−	7.86499i	0.799779	−	1.09068i
$53$	−4.57041	−	7.91618i	−0.627794	−	1.08737i	−0.987993	−	0.154496i	$-0.950625\pi$
$53$	−4.57041	−	7.91618i	−0.627794	−	1.08737i	0.360199	−	0.932875i	$-0.382709\pi$
$54$	0.668697	−	7.31798i	0.0909982	−	0.995851i
$55$	6.63526			0.894698
$56$	5.94039	−	4.55102i	0.793818	−	0.608155i
$57$	−0.289164	+	1.02885i	−0.0383008	+	0.136275i
$58$	2.18119	+	0.714019i	0.286404	+	0.0937553i
$59$	−1.52507			−0.198547			−0.0992735	−	0.995060i	$-0.531652\pi$
$59$	−1.52507			−0.198547			−0.0992735	+	0.995060i	$0.531652\pi$
$60$	−6.15751	−	7.86721i	−0.794931	−	1.01565i
$61$		−	9.68187i		−	1.23964i	−0.784745	−	0.619818i	$-0.787206\pi$
$61$		−	9.68187i		−	1.23964i	0.784745	−	0.619818i	$-0.212794\pi$
$62$	1.73088	−	1.55161i	0.219822	−	0.197055i
$63$	−4.02102	−	6.84335i	−0.506601	−	0.862181i
$64$	−2.57234	+	7.57516i	−0.321543	+	0.946895i
$65$	−14.0636			−1.74438
$66$	−5.05767	+	2.48601i	−0.622556	+	0.306007i
$67$			8.17342i			0.998542i	0.866446	+	0.499271i	$0.166399\pi$
$67$			8.17342i			0.998542i	−0.866446	+	0.499271i	$0.833601\pi$
$68$	−3.29609	−	7.49167i	−0.399709	−	0.908498i
$69$	−10.4366	+	10.1853i	−1.25642	+	1.22616i
$70$	−10.3576	−	3.02713i	−1.23796	−	0.361811i
$71$		−	11.6557i		−	1.38328i	−0.722244	−	0.691638i	$-0.756889\pi$
$71$		−	11.6557i		−	1.38328i	0.722244	−	0.691638i	$-0.243111\pi$
$72$	7.64108	+	3.68970i	0.900510	+	0.434835i
$73$	−4.66559	+	2.69368i	−0.546066	+	0.315272i	−0.747534	−	0.664224i	$-0.768762\pi$
$73$	−4.66559	+	2.69368i	−0.546066	+	0.315272i	0.201468	+	0.979495i	$0.435429\pi$
$74$	2.34311	+	11.1440i	0.272381	+	1.29546i
$75$	−1.55465	+	5.53144i	−0.179515	+	0.638716i
$76$	−0.995162	−	0.729738i	−0.114153	−	0.0837067i
$77$	−2.87328	+	5.36637i	−0.327441	+	0.611554i
$78$	10.7199	−	5.26916i	1.21379	−	0.596615i
$79$			2.37449i			0.267151i	0.991039	+	0.133576i	$0.0426459\pi$
$79$			2.37449i			0.267151i	−0.991039	+	0.133576i	$0.957354\pi$
$80$	11.0022	−	3.46811i	1.23009	−	0.387747i
$81$	4.87449	−	7.56567i	0.541610	−	0.840630i
$82$	0.345415	−	0.0726264i	0.0381447	−	0.00802024i
$83$	3.53143	+	6.11661i	0.387624	+	0.671385i	0.992129	−	0.125216i	$-0.0399624\pi$
$83$	3.53143	+	6.11661i	0.387624	+	0.671385i	−0.604505	+	0.796601i	$0.706629\pi$
$84$	9.02912	−	1.57322i	0.985157	−	0.171653i
$85$	−5.90112	+	10.2210i	−0.640066	+	1.10863i
$86$	−3.31152	+	10.1160i	−0.357091	+	1.09084i
$87$	1.96323	+	2.01168i	0.210480	+	0.215674i
$88$	−0.637490	−	6.47616i	−0.0679566	−	0.690361i
$89$	12.0481	+	6.95597i	1.27710	+	0.737332i	0.976313	−	0.216361i	$-0.0694188\pi$
$89$	12.0481	+	6.95597i	1.27710	+	0.737332i	0.300783	+	0.953693i	$0.402752\pi$
$90$	−2.22501	−	12.0317i	−0.234536	−	1.26825i
$91$	6.08999	−	11.3742i	0.638405	−	1.19234i
$92$	−6.78129	−	15.4132i	−0.706998	−	1.60693i
$93$	2.75873	−	0.703277i	0.286067	−	0.0729264i
$94$	3.10802	−	2.78612i	0.320568	−	0.287366i
$95$			1.77948i			0.182570i
$96$	−7.08697	+	6.76571i	−0.723311	+	0.690522i
$97$	10.3880	−	5.99749i	1.05474	−	0.608953i	0.130766	−	0.991413i	$-0.458256\pi$
$97$	10.3880	−	5.99749i	1.05474	−	0.608953i	0.923972	+	0.382460i	$0.124923\pi$
$98$	6.93339	−	7.06598i	0.700378	−	0.713772i
$99$	−6.90015	−	0.168234i	−0.693491	−	0.0169082i
$100$	−5.35032	−	3.92332i	−0.535032	−	0.392332i
$101$	3.53650	+	2.04180i	0.351895	+	0.203166i	0.665519	−	0.746381i	$-0.268210\pi$
$101$	3.53650	+	2.04180i	0.351895	+	0.203166i	−0.313625	+	0.949547i	$0.601543\pi$
$102$	0.668595	−	10.0018i	0.0662008	−	0.990330i
$103$	3.19544	+	5.53467i	0.314856	+	0.545347i	0.979407	−	0.201896i	$-0.0647103\pi$
$103$	3.19544	+	5.53467i	0.314856	+	0.545347i	−0.664551	+	0.747243i	$0.731377\pi$
$104$	1.35118	+	13.7264i	0.132494	+	1.34598i
$105$	−9.52859	−	9.15804i	−0.929895	−	0.893733i
$106$	12.2856	+	4.02172i	1.19328	+	0.390624i
$107$	5.06327	+	2.92328i	0.489485	+	0.282604i	0.724361	−	0.689421i	$-0.242135\pi$
$107$	5.06327	+	2.92328i	0.489485	+	0.282604i	−0.234876	+	0.972025i	$0.575468\pi$
$108$	6.20385	+	8.33740i	0.596966	+	0.802266i
$109$	7.02228	+	12.1629i	0.672612	+	1.16500i	0.977161	+	0.212502i	$0.0681611\pi$
$109$	7.02228	+	12.1629i	0.672612	+	1.16500i	−0.304549	+	0.952497i	$0.598506\pi$
$110$	−6.98723	+	6.26355i	−0.666206	+	0.597206i
$111$	−3.77366	+	13.4267i	−0.358180	+	1.27441i
$112$	−1.95943	+	10.4000i	−0.185149	+	0.982710i
$113$	3.90522	−	6.76404i	0.367372	−	0.636308i	−0.621781	−	0.783191i	$-0.713591\pi$
$113$	3.90522	−	6.76404i	0.367372	−	0.636308i	0.989154	+	0.146883i	$0.0469241\pi$
$114$	−0.666710	−	1.35639i	−0.0624431	−	0.127038i
$115$	−12.1408	+	21.0285i	−1.13214	+	1.96092i
$116$	−2.97091	+	1.30710i	−0.275842	+	0.121361i
$117$	14.6251	+	0.356577i	1.35209	+	0.0329655i
$118$	1.60597	−	1.43963i	0.147841	−	0.132529i
$119$	−5.71104	−	9.19865i	−0.523531	−	0.843239i
$120$	13.9106	+	2.47196i	1.26986	+	0.225658i
$121$	−2.85331	−	4.94208i	−0.259392	−	0.449280i
$122$	9.13949	+	10.1954i	0.827450	+	0.923052i
$123$	0.416170	+	0.116967i	0.0375248	+	0.0105466i
$124$	−0.358006	+	3.26784i	−0.0321499	+	0.293460i
$125$		−	4.85281i		−	0.434049i
$126$	10.6943	+	3.41059i	0.952723	+	0.303839i
$127$			14.7826i			1.31174i	0.754872	+	0.655872i	$0.227699\pi$
$127$			14.7826i			1.31174i	−0.754872	+	0.655872i	$0.772301\pi$
$128$	−4.44201	−	10.4052i	−0.392622	−	0.919700i
$129$	−9.32988	+	9.10518i	−0.821450	+	0.801666i
$130$	14.8096	−	13.2758i	1.29889	−	1.16436i
$131$	−4.57689	−	7.92741i	−0.399885	−	0.692621i	0.593826	−	0.804593i	$-0.297617\pi$
$131$	−4.57689	−	7.92741i	−0.399885	−	0.692621i	−0.993711	+	0.111972i	$0.964283\pi$
$132$	2.97921	−	7.39221i	0.259307	−	0.643410i
$133$	−1.43918	−	0.770570i	−0.124793	−	0.0668169i
$134$	−7.71554	−	8.60698i	−0.666521	−	0.743530i
$135$	4.40511	−	14.3235i	0.379132	−	1.23277i
$136$	10.5429	+	4.77762i	0.904047	+	0.409678i
$137$	−10.4776	+	18.1478i	−0.895164	+	1.55047i	−0.0615625	+	0.998103i	$0.519608\pi$
$137$	−10.4776	+	18.1478i	−0.895164	+	1.55047i	−0.833602	+	0.552366i	$0.813725\pi$
$138$	1.37555	−	20.5775i	0.117095	−	1.75168i
$139$	−3.12470	+	5.41214i	−0.265033	+	0.459051i	−0.967572	−	0.252594i	$-0.918716\pi$
$139$	−3.12470	+	5.41214i	−0.265033	+	0.459051i	0.702539	+	0.711645i	$0.252050\pi$
$140$	13.7645	−	6.58961i	1.16331	−	0.556924i
$141$	4.95365	−	1.26282i	0.417172	−	0.106349i
$142$	11.0027	+	12.2740i	0.923329	+	1.03001i
$143$	−5.60973	−	9.71633i	−0.469109	−	0.812521i
$144$	−11.5294	+	3.32761i	−0.960783	+	0.277301i
$145$	4.05327	+	2.34016i	0.336606	+	0.194339i
$146$	2.37030	−	7.24079i	0.196167	−	0.599252i
$147$	11.5329	−	3.74067i	0.951216	−	0.308525i
$148$	−12.9871	−	9.52324i	−1.06753	−	0.782806i
$149$	−4.71660	−	8.16939i	−0.386399	−	0.669263i	0.605563	−	0.795797i	$-0.292948\pi$
$149$	−4.71660	−	8.16939i	−0.386399	−	0.669263i	−0.991962	+	0.126535i	$0.959615\pi$
$150$	−3.58446	−	7.29241i	−0.292670	−	0.595423i
$151$	1.50575	+	0.869347i	0.122537	+	0.0707465i	0.560015	−	0.828482i	$-0.310795\pi$
$151$	1.50575	+	0.869347i	0.122537	+	0.0707465i	−0.437479	+	0.899229i	$0.644129\pi$
$152$	1.73681	−	0.170965i	0.140874	−	0.0138671i
$153$	6.39585	−	10.4795i	0.517074	−	0.847214i
$154$	−2.04005	−	8.36334i	−0.164392	−	0.673937i
$155$	4.10528	−	2.37019i	0.329744	−	0.190378i
$156$	−6.31451	+	15.6680i	−0.505566	+	1.25444i
$157$		−	22.3638i		−	1.78482i	−0.451224	−	0.892411i	$-0.649012\pi$
$157$		−	22.3638i		−	1.78482i	0.451224	−	0.892411i	$-0.350988\pi$
$158$	−2.24147	−	2.50045i	−0.178322	−	0.198925i
$159$	11.0579	+	11.3308i	0.876948	+	0.898590i
$160$	−8.31202	+	14.0380i	−0.657123	+	1.10980i
$161$	−11.7498	−	18.9251i	−0.926010	−	1.49150i
$162$	2.00878	+	12.5684i	0.157824	+	0.987467i
$163$	7.26243	+	4.19297i	0.568838	+	0.328419i	0.756685	−	0.653780i	$-0.226818\pi$
$163$	7.26243	+	4.19297i	0.568838	+	0.328419i	−0.187847	+	0.982198i	$0.560151\pi$
$164$	−0.295180	+	0.402543i	−0.0230496	+	0.0314334i
$165$	−11.1364	+	2.83899i	−0.866970	+	0.221015i
$166$	−9.49270	−	3.10747i	−0.736777	−	0.241186i
$167$	−2.80662	+	4.86122i	−0.217183	+	0.376172i	−0.953946	−	0.299979i	$-0.903020\pi$
$167$	−2.80662	+	4.86122i	−0.217183	+	0.376172i	0.736763	+	0.676152i	$0.236354\pi$
$168$	−8.02297	+	10.1800i	−0.618986	+	0.785402i
$169$	5.38997	+	9.33570i	0.414613	+	0.718131i
$170$	−3.43431	−	16.3337i	−0.263399	−	1.25274i
$171$	0.0451178	−	1.85052i	0.00345025	−	0.141513i
$172$	−6.06216	−	13.7787i	−0.462235	−	1.05061i
$173$		−	11.3182i		−	0.860508i	−0.902708	−	0.430254i	$-0.858424\pi$
$173$		−	11.3182i		−	0.860508i	0.902708	−	0.430254i	$-0.141576\pi$
$174$	−3.96635	−	0.265139i	−0.300688	−	0.0201001i
$175$	−7.73751	−	4.14285i	−0.584901	−	0.313170i
$176$	6.78466	+	6.21791i	0.511413	+	0.468692i
$177$	2.55963	−	0.652522i	0.192394	−	0.0490465i
$178$	−19.2535	+	4.04821i	−1.44311	+	0.303426i
$179$	1.87423	−	1.08209i	0.140087	−	0.0808792i	−0.428319	−	0.903628i	$-0.640894\pi$
$179$	1.87423	−	1.08209i	0.140087	−	0.0808792i	0.568405	+	0.822749i	$0.307561\pi$
$180$	13.7007	+	10.5695i	1.02119	+	0.787806i
$181$			1.77875i			0.132213i	0.997813	+	0.0661066i	$0.0210577\pi$
$181$			1.77875i			0.132213i	−0.997813	+	0.0661066i	$0.978942\pi$
$182$	4.32394	+	17.7263i	0.320511	+	1.31396i
$183$	4.14252	+	16.2498i	0.306224	+	1.20122i
$184$	21.6907	+	9.82935i	1.59906	+	0.724630i
$185$			23.2226i			1.70736i
$186$	−2.24119	+	3.34477i	−0.164332	+	0.245250i
$187$	−9.41541			−0.688523
$188$	−0.642845	+	5.86781i	−0.0468843	+	0.427954i
$189$	9.67679	+	9.76523i	0.703883	+	0.710316i
$190$	−1.67979	−	1.87387i	−0.121865	−	0.135945i
$191$		−	5.11358i		−	0.370006i	−0.982738	−	0.185003i	$-0.940771\pi$
$191$		−	5.11358i		−	0.370006i	0.982738	−	0.185003i	$-0.0592295\pi$
$192$	1.07621	−	13.8145i	0.0776687	−	0.996979i
$193$	7.22605			0.520142			0.260071	−	0.965589i	$-0.416254\pi$
$193$	7.22605			0.520142			0.260071	+	0.965589i	$0.416254\pi$
$194$	−5.27748	+	16.1217i	−0.378901	+	1.15747i
$195$	23.6040	−	6.01731i	1.69032	−	0.430909i
$196$	−0.631026	+	13.9858i	−0.0450733	+	0.998984i
$197$	−4.34716			−0.309722			−0.154861	−	0.987936i	$-0.549493\pi$
$197$	−4.34716			−0.309722			−0.154861	+	0.987936i	$0.549493\pi$
$198$	7.42498	−	6.33644i	0.527670	−	0.450311i
$199$	−10.2773	−	17.8008i	−0.728540	−	1.26187i	−0.957500	−	0.288432i	$-0.906866\pi$
$199$	−10.2773	−	17.8008i	−0.728540	−	1.26187i	0.228961	−	0.973436i	$-0.426467\pi$
$200$	9.33766	−	0.919166i	0.660272	−	0.0649949i
$201$	−3.49711	−	13.7180i	−0.246667	−	0.967596i
$202$	−5.65150	+	1.18828i	−0.397638	+	0.0836068i
$203$	−3.64783	+	2.26478i	−0.256028	+	0.158956i
$204$	8.73748	+	11.1635i	0.611746	+	0.781603i
$205$	0.719799			0.0502730
$206$	−8.58956	−	2.81182i	−0.598463	−	0.195909i
$207$	13.1587	−	21.5602i	0.914590	−	1.49853i
$208$	−14.3803	−	13.1790i	−0.997093	−	0.913801i
$209$	−1.22941	+	0.709802i	−0.0850403	+	0.0490980i
$210$	18.6790	+	0.649030i	1.28898	+	0.0447873i
$211$	4.36555	+	2.52045i	0.300537	+	0.173515i	0.642684	−	0.766131i	$-0.277821\pi$
$211$	4.36555	+	2.52045i	0.300537	+	0.173515i	−0.342147	+	0.939646i	$0.611154\pi$
$212$	−16.7337	+	7.36226i	−1.14927	+	0.505642i
$213$	4.98705	+	19.5626i	0.341707	+	1.34041i
$214$	−8.09136	+	1.70128i	−0.553114	+	0.116297i
$215$	−10.8533	+	18.7985i	−0.740191	+	1.28205i
$216$	−14.4033	−	2.92334i	−0.980018	−	0.198908i
$217$	0.139205	+	4.34658i	0.00944985	+	0.295065i
$218$	−18.8763	−	6.17923i	−1.27847	−	0.418511i
$219$	6.67807	−	6.51724i	0.451262	−	0.440394i
$220$	1.44520	−	13.1916i	0.0974353	−	0.889377i
$221$	19.9562			1.34240
$222$	−8.70071	−	17.7012i	−0.583954	−	1.18803i
$223$	−12.5132	−	21.6734i	−0.837943	−	1.45136i	−0.891611	−	0.452801i	$-0.850425\pi$
$223$	−12.5132	−	21.6734i	−0.837943	−	1.45136i	0.0536683	−	0.998559i	$-0.482909\pi$
$224$	−7.75405	−	12.8014i	−0.518089	−	0.855327i
$225$	0.242569	−	9.94900i	0.0161712	−	0.663267i
$226$	2.27274	+	10.8093i	0.151181	+	0.719023i
$227$	−5.55058	+	9.61389i	−0.368405	+	0.638096i	−0.989316	−	0.145785i	$-0.953429\pi$
$227$	−5.55058	+	9.61389i	−0.368405	+	0.638096i	0.620911	+	0.783881i	$0.286763\pi$
$228$	1.98248	+	0.798979i	0.131293	+	0.0529137i
$229$	−21.4402	+	12.3785i	−1.41681	+	0.817996i	−0.996017	−	0.0891602i	$-0.971582\pi$
$229$	−21.4402	+	12.3785i	−1.41681	+	0.817996i	−0.420794	+	0.907156i	$0.638248\pi$
$230$	−7.06565	−	33.6046i	−0.465895	−	2.21582i
$231$	2.52636	−	10.2361i	0.166222	−	0.673488i
$232$	1.89462	−	4.18091i	0.124388	−	0.274490i
$233$	−9.46392	+	16.3920i	−0.620002	+	1.07387i	0.369483	+	0.929238i	$0.379535\pi$
$233$	−9.46392	+	16.3920i	−0.620002	+	1.07387i	−0.989485	+	0.144637i	$0.953799\pi$
$234$	−15.7374	+	13.4303i	−1.02879	+	0.877964i
$235$	7.37155	−	4.25597i	0.480867	−	0.277629i
$236$	−0.332169	+	3.03200i	−0.0216224	+	0.197366i
$237$	−1.01596	−	3.98528i	−0.0659936	−	0.258872i
$238$	14.6973	+	4.29549i	0.952686	+	0.278435i
$239$	−4.90588	−	2.83241i	−0.317335	−	0.183213i	0.332869	−	0.942973i	$-0.391983\pi$
$239$	−4.90588	−	2.83241i	−0.317335	−	0.183213i	−0.650204	+	0.759760i	$0.725317\pi$
$240$	−16.9820	+	10.5282i	−1.09618	+	0.679595i
$241$	−5.60799	−	3.23778i	−0.361242	−	0.208563i	0.308383	−	0.951262i	$-0.400212\pi$
$241$	−5.60799	−	3.23778i	−0.361242	−	0.208563i	−0.669626	+	0.742699i	$0.733545\pi$
$242$	7.66989	+	2.51076i	0.493039	+	0.161398i
$243$	−4.94414	+	14.7836i	−0.317167	+	0.948370i
$244$	−19.2486	−	2.10877i	−1.23226	−	0.135000i
$245$	16.8015	−	11.1919i	1.07341	−	0.715026i
$246$	−0.548661	+	0.269685i	−0.0349813	+	0.0171945i
$247$	2.60577	−	1.50444i	0.165801	−	0.0957255i
$248$	−2.70777	−	3.77913i	−0.171944	−	0.239975i
$249$	−8.54412	−	8.75498i	−0.541462	−	0.554824i
$250$	4.58096	+	5.11023i	0.289725	+	0.323199i
$251$	−22.7077			−1.43330			−0.716650	−	0.697433i	$-0.754325\pi$
$251$	−22.7077			−1.43330			−0.716650	+	0.697433i	$0.754325\pi$
$252$	−14.4811	+	6.50369i	−0.912223	+	0.409694i
$253$	−19.3710			−1.21784
$254$	−13.9545	−	15.5668i	−0.875582	−	0.976745i
$255$	5.53106	−	19.6796i	0.346369	−	1.23238i
$256$	14.4999	+	6.76400i	0.906246	+	0.422750i
$257$	8.01019	−	4.62469i	0.499662	−	0.288480i	−0.228912	−	0.973447i	$-0.573517\pi$
$257$	8.01019	−	4.62469i	0.499662	−	0.288480i	0.728574	+	0.684967i	$0.240183\pi$
$258$	1.22968	−	18.3954i	0.0765565	−	1.14525i
$259$	−18.7816	−	10.0561i	−1.16703	−	0.624856i
$260$	−3.06314	+	27.9599i	−0.189968	+	1.73400i
$261$	−4.15575	−	2.53635i	−0.257234	−	0.156996i
$262$	12.3030	+	4.02742i	0.760081	+	0.248815i
$263$	14.8791	+	8.59046i	0.917485	+	0.529710i	0.882832	−	0.469689i	$-0.155634\pi$
$263$	14.8791	+	8.59046i	0.917485	+	0.529710i	0.0346531	+	0.999399i	$0.488967\pi$
$264$	3.84086	+	10.5966i	0.236388	+	0.652178i
$265$	22.8301	+	13.1810i	1.40244	+	0.809699i
$266$	2.24292	−	0.547110i	0.137522	−	0.0335455i
$267$	−23.1974	−	6.51977i	−1.41966	−	0.399003i
$268$	16.2496	+	1.78022i	0.992603	+	0.108744i
$269$	6.56990	−	3.79313i	0.400574	−	0.231271i	−0.286158	−	0.958182i	$-0.592378\pi$
$269$	6.56990	−	3.79313i	0.400574	−	0.231271i	0.686731	+	0.726911i	$0.259045\pi$
$270$	8.88230	+	19.2416i	0.540560	+	1.17101i
$271$	7.21584	−	12.4982i	0.438331	−	0.759212i	−0.559230	−	0.829013i	$-0.688903\pi$
$271$	7.21584	−	12.4982i	0.438331	−	0.759212i	0.997561	+	0.0698007i	$0.0222363\pi$
$272$	−15.6121	+	4.92124i	−0.946624	+	0.298394i
$273$	−5.35469	+	21.6958i	−0.324080	+	1.31309i
$274$	−6.09772	−	29.0011i	−0.368377	−	1.75202i
$275$	−6.60974	+	3.81613i	−0.398582	+	0.230121i
$276$	17.9763	+	22.9676i	1.08204	+	1.38248i
$277$	3.73532	−	6.46976i	0.224433	−	0.388730i	−0.731716	−	0.681610i	$-0.761280\pi$
$277$	3.73532	−	6.46976i	0.224433	−	0.388730i	0.956149	+	0.292880i	$0.0946135\pi$
$278$	−1.81850	−	8.64887i	−0.109066	−	0.518725i
$279$	−4.32927	+	2.36072i	−0.259186	+	0.141333i
$280$	−8.27419	+	19.9326i	−0.494477	+	1.19120i
$281$	−1.25478	−	2.17335i	−0.0748540	−	0.129651i	0.826169	−	0.563423i	$-0.190516\pi$
$281$	−1.25478	−	2.17335i	−0.0748540	−	0.129651i	−0.901023	+	0.433772i	$0.857182\pi$
$282$	−4.02433	+	6.00595i	−0.239645	+	0.357649i
$283$	10.9065			0.648324			0.324162	−	0.946002i	$-0.394918\pi$
$283$	10.9065			0.648324			0.324162	+	0.946002i	$0.394918\pi$
$284$	−23.1727	−	2.53868i	−1.37505	−	0.150643i
$285$	−0.761374	−	2.98662i	−0.0450999	−	0.176912i
$286$	15.0793	+	4.93626i	0.891658	+	0.291887i
$287$	−0.311696	+	0.582148i	−0.0183988	+	0.0343631i
$288$	8.99977	−	14.3876i	0.530317	−	0.847800i
$289$	−0.126337	+	0.218822i	−0.00743160	+	0.0128719i
$290$	−6.47733	+	1.36191i	−0.380362	+	0.0799743i
$291$	−14.8688	+	14.5107i	−0.871622	+	0.850630i
$292$	4.33913	+	9.86239i	0.253928	+	0.577153i
$293$	1.64025	+	0.947001i	0.0958246	+	0.0553244i	0.547147	−	0.837037i	$-0.315714\pi$
$293$	1.64025	+	0.947001i	0.0958246	+	0.0553244i	−0.451322	+	0.892361i	$0.649047\pi$
$294$	−8.61353	+	14.8259i	−0.502351	+	0.864664i
$295$	3.80901	−	2.19913i	0.221769	−	0.128038i
$296$	22.6657	−	2.23113i	1.31742	−	0.129682i
$297$	11.6530	−	2.66996i	0.676176	−	0.154927i
$298$	12.6785	+	4.15036i	0.734447	+	0.240424i
$299$	41.0574			2.37441
$300$	10.6585	+	4.29558i	0.615368	+	0.248005i
$301$	−10.5037	−	16.9181i	−0.605426	−	0.975146i
$302$	−2.40627	+	0.505939i	−0.138465	+	0.0291135i
$303$	−6.80917	−	1.91376i	−0.391176	−	0.109942i
$304$	−1.66755	+	1.81954i	−0.0956405	+	0.104358i
$305$	13.9611	+	24.1814i	0.799413	+	1.38462i
$306$	3.15728	+	17.0729i	0.180489	+	0.975992i
$307$	−6.05907			−0.345809			−0.172905	−	0.984939i	$-0.555315\pi$
$307$	−6.05907			−0.345809			−0.172905	+	0.984939i	$0.555315\pi$
$308$	10.0431	+	6.88121i	0.572258	+	0.392093i
$309$	−7.73123	−	7.92202i	−0.439814	−	0.450668i
$310$	−2.08564	+	6.37122i	−0.118456	+	0.361861i
$311$	16.3413			0.926630			0.463315	−	0.886194i	$-0.346660\pi$
$311$	16.3413			0.926630			0.463315	+	0.886194i	$0.346660\pi$
$312$	−8.14080	−	22.4599i	−0.460882	−	1.27154i
$313$			8.96921i			0.506970i	0.967339	+	0.253485i	$0.0815768\pi$
$313$			8.96921i			0.506970i	−0.967339	+	0.253485i	$0.918423\pi$
$314$	21.1109	+	23.5500i	1.19136	+	1.32900i
$315$	19.9109	+	11.2937i	1.12185	+	0.636325i
$316$	4.72074	+	0.517178i	0.265562	+	0.0290936i
$317$	23.9474			1.34502			0.672511	−	0.740088i	$-0.265216\pi$
$317$	23.9474			1.34502			0.672511	+	0.740088i	$0.265216\pi$
$318$	−22.3405	−	1.49340i	−1.25279	−	0.0837456i
$319$			3.73379i			0.209052i
$320$	−4.49862	−	22.6290i	−0.251481	−	1.26500i
$321$	−9.74881	−	2.73996i	−0.544126	−	0.152930i
$322$	30.2379	+	8.83742i	1.68509	+	0.492490i
$323$		−	2.52507i		−	0.140499i
$324$	−13.9796	−	11.3388i	−0.776647	−	0.629936i
$325$	14.0095	−	8.08840i	0.777108	−	0.448664i
$326$	−11.6057	+	2.44020i	−0.642783	+	0.135150i
$327$	−16.9901	−	17.4094i	−0.939553	−	0.962740i
$328$	−0.0691555	−	0.702540i	−0.00381847	−	0.0387913i
$329$	0.249960	+	7.80482i	0.0137807	+	0.430294i
$330$	9.04722	−	13.5021i	0.498033	−	0.743269i
$331$		−	2.04813i		−	0.112575i	−0.998415	−	0.0562877i	$-0.982074\pi$
$331$		−	2.04813i		−	0.112575i	0.998415	−	0.0562877i	$-0.0179264\pi$
$332$	12.9296	−	5.68861i	0.709605	−	0.312203i
$333$	0.588797	−	24.1496i	0.0322659	−	1.32339i
$334$	−1.63339	−	7.76847i	−0.0893749	−	0.425072i
$335$	−11.7860	−	20.4139i	−0.643937	−	1.11533i
$336$	−1.16114	−	18.2935i	−0.0633454	−	0.997992i
$337$	−9.20885	+	15.9502i	−0.501638	+	0.868863i	0.498360	+	0.866970i	$0.333936\pi$
$337$	−9.20885	+	15.9502i	−0.501638	+	0.868863i	−0.999998	+	0.00189247i	$0.999398\pi$
$338$	−14.4886	−	4.74289i	−0.788075	−	0.257979i
$339$	−3.66033	+	13.0235i	−0.198802	+	0.707339i
$340$	19.0352	+	13.9582i	1.03233	+	0.756992i
$341$	3.27505	+	1.89085i	0.177354	+	0.102395i
$342$	1.69934	+	1.99127i	0.0918897	+	0.107675i
$343$	1.77607	+	18.4349i	0.0958987	+	0.995391i
$344$	19.3905	+	8.78699i	1.04547	+	0.473763i
$345$	11.3795	−	40.4882i	0.612650	−	2.17981i
$346$	10.6842	+	11.9186i	0.574384	+	0.640747i
$347$			3.52304i			0.189127i	0.995519	+	0.0945634i	$0.0301455\pi$
$347$			3.52304i			0.189127i	−0.995519	+	0.0945634i	$0.969855\pi$
$348$	4.42703	−	3.46495i	0.237314	−	0.185741i
$349$	−28.0774	+	16.2105i	−1.50295	+	0.867727i	−0.502953	+	0.864314i	$0.667753\pi$
$349$	−28.0774	+	16.2105i	−1.50295	+	0.867727i	−0.999994	+	0.00341285i	$0.998914\pi$
$350$	12.0587	−	2.94145i	0.644565	−	0.157227i
$351$	−24.6989	+	5.65906i	−1.31833	+	0.302058i
$352$	−13.0141	−	0.143149i	−0.693655	−	0.00762987i
$353$	8.90471	+	5.14114i	0.473950	+	0.273635i	0.717892	−	0.696155i	$-0.245107\pi$
$353$	8.90471	+	5.14114i	0.473950	+	0.273635i	−0.243942	+	0.969790i	$0.578441\pi$
$354$	−2.07944	+	3.10337i	−0.110521	+	0.164943i
$355$	16.8074	+	29.1112i	0.892043	+	1.54506i
$356$	16.4534	−	22.4378i	0.872026	−	1.18920i
$357$	13.5210	+	12.9952i	0.715609	+	0.687780i
$358$	−0.952182	+	2.90873i	−0.0503244	+	0.153731i
$359$	28.6039	+	16.5145i	1.50966	+	0.871600i	0.999937	+	0.0112597i	$0.00358415\pi$
$359$	28.6039	+	16.5145i	1.50966	+	0.871600i	0.509720	+	0.860341i	$0.329749\pi$
$360$	−24.4048	+	1.80298i	−1.28625	+	0.0950253i
$361$	9.30964	+	16.1248i	0.489981	+	0.848672i
$362$	−1.67910	−	1.87310i	−0.0882515	−	0.0984479i
$363$	6.90346	+	7.07382i	0.362337	+	0.371279i
$364$	−21.2866	−	14.5849i	−1.11572	−	0.764457i
$365$	7.76851	−	13.4555i	0.406623	−	0.704291i
$366$	−19.7017	−	13.2013i	−1.02983	−	0.690043i
$367$	16.1437	−	27.9617i	0.842694	−	1.45959i	−0.0449150	−	0.998991i	$-0.514302\pi$
$367$	16.1437	−	27.9617i	0.842694	−	1.45959i	0.887609	−	0.460598i	$-0.152365\pi$
$368$	−32.1200	+	10.1248i	−1.67437	+	0.527793i
$369$	−0.748535	−	0.0182502i	−0.0389672	−	0.000950067i
$370$	−21.9216	−	24.4544i	−1.13965	−	1.27132i
$371$	−20.5464	+	12.7564i	−1.06672	+	0.662279i
$372$	−0.797320	−	5.63782i	−0.0413391	−	0.292307i
$373$	−9.46890	−	16.4006i	−0.490281	−	0.849192i	0.509656	−	0.860378i	$-0.329773\pi$
$373$	−9.46890	−	16.4006i	−0.490281	−	0.849192i	−0.999937	+	0.0111862i	$0.996439\pi$
$374$	9.91484	−	8.88795i	0.512684	−	0.459585i
$375$	2.07634	+	8.14483i	0.107222	+	0.420597i
$376$	−4.86215	−	6.78590i	−0.250746	−	0.349956i
$377$		−	7.91386i		−	0.407585i
$378$	−19.4083	−	1.14854i	−0.998254	−	0.0590744i
$379$		−	13.4461i		−	0.690679i	−0.938478	−	0.345340i	$-0.887764\pi$
$379$		−	13.4461i		−	0.690679i	0.938478	−	0.345340i	$-0.112236\pi$
$380$	3.53779	+	0.387581i	0.181485	+	0.0198825i
$381$	−6.32494	−	24.8107i	−0.324037	−	1.27109i
$382$	4.82712	+	5.38483i	0.246977	+	0.275512i
$383$	−0.630023	−	1.09123i	−0.0321927	−	0.0557593i	0.849480	−	0.527621i	$-0.176916\pi$
$383$	−0.630023	−	1.09123i	−0.0321927	−	0.0557593i	−0.881673	+	0.471861i	$0.843582\pi$
$384$	11.9074	+	15.5633i	0.607645	+	0.794209i
$385$	−0.561943	−	17.5463i	−0.0286393	−	0.894240i
$386$	−7.60935	+	6.82124i	−0.387306	+	0.347192i
$387$	11.7632	−	19.2738i	0.597959	−	0.979742i
$388$	−9.66109	−	21.9587i	−0.490467	−	1.11478i
$389$	−3.94536	+	6.83356i	−0.200038	+	0.346475i	−0.948540	−	0.316656i	$-0.897440\pi$
$389$	−3.94536	+	6.83356i	−0.200038	+	0.346475i	0.748503	+	0.663132i	$0.230773\pi$
$390$	−19.1758	+	28.6182i	−0.971006	+	1.44914i
$391$	17.2278	−	29.8393i	0.871245	−	1.50904i
$392$	−12.5378	−	15.3233i	−0.633254	−	0.773944i
$393$	11.0736	+	11.3469i	0.558588	+	0.572373i
$394$	4.57776	−	4.10363i	0.230624	−	0.206738i
$395$	−3.42399	−	5.93052i	−0.172280	−	0.298397i
$396$	−1.83736	+	13.6816i	−0.0923308	+	0.687525i
$397$	0.706070	+	0.407650i	0.0354366	+	0.0204593i	0.517614	−	0.855614i	$-0.326820\pi$
$397$	0.706070	+	0.407650i	0.0354366	+	0.0204593i	−0.482177	+	0.876074i	$0.660154\pi$
$398$	27.6261	+	9.04350i	1.38477	+	0.453310i
$399$	2.74518	+	0.677531i	0.137431	+	0.0339190i
$400$	−8.96530	+	9.78248i	−0.448265	+	0.489124i
$401$	−4.84948	−	8.39954i	−0.242171	−	0.419453i	0.719161	−	0.694843i	$-0.244526\pi$
$401$	−4.84948	−	8.39954i	−0.242171	−	0.419453i	−0.961333	+	0.275390i	$0.911193\pi$
$402$	16.6322	+	11.1445i	0.829537	+	0.555838i
$403$	−6.94156	−	4.00771i	−0.345784	−	0.199638i
$404$	4.82958	−	6.58621i	0.240280	−	0.327676i
$405$	−1.26491	+	25.9249i	−0.0628541	+	1.28822i
$406$	1.70342	−	5.82839i	0.0845395	−	0.289258i
$407$	−16.0441	+	9.26307i	−0.795277	+	0.459153i
$408$	−19.7391	−	3.50770i	−0.977231	−	0.173657i
$409$			8.24951i			0.407912i	0.978980	+	0.203956i	$0.0653800\pi$
$409$			8.24951i			0.407912i	−0.978980	+	0.203956i	$0.934620\pi$
$410$	−0.757981	+	0.679476i	−0.0374340	+	0.0335569i
$411$	9.82058	−	34.9417i	0.484413	−	1.72355i
$412$	11.6995	−	5.14739i	0.576392	−	0.253594i
$413$	0.129159	+	4.03289i	0.00635548	+	0.198445i
$414$	6.49569	+	35.1253i	0.319246	+	1.72631i
$415$	−17.6402	−	10.1845i	−0.865921	−	0.499940i
$416$	27.5838	+	0.303408i	1.35241	+	0.0148758i
$417$	2.92875	−	10.4205i	0.143422	−	0.510295i
$418$	0.624588	−	1.90799i	0.0305496	−	0.0933230i
$419$	−3.43548	+	5.95043i	−0.167834	+	0.290698i	−0.937658	−	0.347559i	$-0.887011\pi$
$419$	−3.43548	+	5.95043i	−0.167834	+	0.290698i	0.769824	+	0.638256i	$0.220344\pi$
$420$	−20.2825	+	16.9492i	−0.989686	+	0.827034i
$421$	12.0431	+	20.8593i	0.586947	+	1.01662i	0.994630	+	0.103498i	$0.0330036\pi$
$421$	12.0431	+	20.8593i	0.586947	+	1.01662i	−0.407683	+	0.913124i	$0.633663\pi$
$422$	−6.97637	+	1.46684i	−0.339604	+	0.0714047i
$423$	−7.77374	+	4.23897i	−0.377972	+	0.206106i
$424$	10.6715	−	23.5490i	0.518252	−	1.14364i
$425$		−	13.5756i		−	0.658515i
$426$	−23.7183	−	15.8926i	−1.14915	−	0.770000i
$427$	−25.6027	+	0.819961i	−1.23900	+	0.0396807i
$428$	6.91459	−	9.42960i	0.334230	−	0.455797i
$429$	13.5725	+	13.9074i	0.655285	+	0.671457i
$430$	−6.31637	−	30.0410i	−0.304602	−	1.44870i
$431$	30.1452	−	17.4043i	1.45204	−	0.838337i	0.453445	−	0.891284i	$-0.350195\pi$
$431$	30.1452	−	17.4043i	1.45204	−	0.838337i	0.998597	+	0.0529473i	$0.0168615\pi$
$432$	17.9269	−	10.5180i	0.862506	−	0.506046i
$433$			17.6046i			0.846022i	0.906125	+	0.423011i	$0.139027\pi$
$433$			17.6046i			0.846022i	−0.906125	+	0.423011i	$0.860973\pi$
$434$	−4.24967	−	4.44573i	−0.203991	−	0.213402i
$435$	−7.80416	−	2.19341i	−0.374181	−	0.105166i
$436$	25.7107	−	11.3119i	1.23132	−	0.541740i
$437$		−	5.19501i		−	0.248511i
$438$	−0.880171	+	13.1669i	−0.0420562	+	0.629139i
$439$	−3.47485			−0.165846			−0.0829228	−	0.996556i	$-0.526425\pi$
$439$	−3.47485			−0.165846			−0.0829228	+	0.996556i	$0.526425\pi$
$440$	10.9307	+	15.2556i	0.521102	+	0.727281i
$441$	−17.7560	+	11.2127i	−0.845523	+	0.533940i
$442$	−21.0148	+	18.8383i	−0.999571	+	0.896044i
$443$			13.4347i			0.638302i	0.947704	+	0.319151i	$0.103398\pi$
$443$			13.4347i			0.638302i	−0.947704	+	0.319151i	$0.896602\pi$
$444$	25.8718	+	10.4268i	1.22782	+	0.494836i
$445$	−40.1217			−1.90195
$446$	33.6362	+	11.0109i	1.59272	+	0.521382i
$447$	11.4116	+	11.6932i	0.539750	+	0.553070i
$448$	20.2496	+	6.16074i	0.956702	+	0.291068i
$449$	13.7666			0.649687			0.324843	−	0.945768i	$-0.394688\pi$
$449$	13.7666			0.649687			0.324843	+	0.945768i	$0.394688\pi$
$450$	9.13621	+	10.7057i	0.430685	+	0.504672i
$451$	0.287115	+	0.497298i	0.0135197	+	0.0234169i
$452$	−12.5970	−	9.23724i	−0.592515	−	0.434483i
$453$	−2.89918	−	0.814831i	−0.136215	−	0.0382841i
$454$	−3.23030	−	15.3635i	−0.151606	−	0.721044i
$455$	1.19105	+	37.1898i	0.0558374	+	1.74348i
$456$	−2.84186	+	1.03006i	−0.133082	+	0.0482370i
$457$	−26.5966			−1.24414			−0.622068	−	0.782964i	$-0.713707\pi$
$457$	−26.5966			−1.24414			−0.622068	+	0.782964i	$0.713707\pi$
$458$	10.8925	−	33.2743i	0.508971	−	1.55481i
$459$	−6.25084	+	20.3250i	−0.291764	+	0.948689i
$460$	39.1625	+	28.7173i	1.82596	+	1.33895i
$461$	22.4719	−	12.9742i	1.04662	−	0.604268i	0.124921	−	0.992167i	$-0.460132\pi$
$461$	22.4719	−	12.9742i	1.04662	−	0.604268i	0.921702	+	0.387899i	$0.126799\pi$
$462$	7.00233	+	13.1639i	0.325778	+	0.612442i
$463$	8.26087	+	4.76941i	0.383915	+	0.221653i	0.679520	−	0.733657i	$-0.262188\pi$
$463$	8.26087	+	4.76941i	0.383915	+	0.221653i	−0.295605	+	0.955310i	$0.595521\pi$
$464$	1.95157	+	6.19117i	0.0905995	+	0.287418i
$465$	−5.87608	+	5.73456i	−0.272497	+	0.265934i
$466$	−5.50777	−	26.1952i	−0.255142	−	1.21347i
$467$	−3.31730	+	5.74573i	−0.153506	+	0.265880i	−0.932514	−	0.361134i	$-0.882390\pi$
$467$	−3.31730	+	5.74573i	−0.153506	+	0.265880i	0.779008	+	0.627014i	$0.215723\pi$
$468$	3.89434	−	28.9985i	0.180016	−	1.34046i
$469$	21.6138	−	0.692210i	0.998031	−	0.0319633i
$470$	−3.74503	+	11.4403i	−0.172745	+	0.527703i
$471$	9.56864	+	37.5347i	0.440900	+	1.72951i
$472$	−2.51235	−	3.50639i	−0.115640	−	0.161395i
$473$	−17.3168			−0.796227
$474$	4.83187	+	3.23763i	0.221935	+	0.148709i
$475$	−1.02343	−	1.77263i	−0.0469582	−	0.0813339i
$476$	−19.5318	+	9.35063i	−0.895238	+	0.428586i
$477$	−23.4073	−	14.2860i	−1.07175	−	0.654111i
$478$	7.83984	−	1.64839i	0.358586	−	0.0753957i
$479$	−13.9545	+	24.1699i	−0.637598	+	1.10435i	0.348360	+	0.937361i	$0.386739\pi$
$479$	−13.9545	+	24.1699i	−0.637598	+	1.10435i	−0.985958	+	0.166992i	$0.946595\pi$
$480$	7.94433	−	27.1173i	0.362607	−	1.23773i
$481$	34.0059	−	19.6333i	1.55054	−	0.895202i
$482$	8.96186	−	1.88431i	0.408201	−	0.0858278i
$483$	27.8178	+	26.7360i	1.26575	+	1.21653i
$484$	−10.4468	+	4.59627i	−0.474857	+	0.208921i
$485$	−17.2966	+	29.9586i	−0.785400	+	1.36035i
$486$	−8.74904	−	20.2350i	−0.396864	−	0.917877i
$487$	−32.6742	+	18.8645i	−1.48061	+	0.854831i	−0.999759	−	0.0219714i	$-0.993006\pi$
$487$	−32.6742	+	18.8645i	−1.48061	+	0.854831i	−0.480851	+	0.876802i	$0.659672\pi$
$488$	22.2602	−	15.9496i	1.00767	−	0.722006i
$489$	−13.9831	−	3.93003i	−0.632337	−	0.177722i
$490$	−7.12775	+	27.6458i	−0.321999	+	1.24891i
$491$	−2.27638	−	1.31427i	−0.102732	−	0.0593121i	0.447754	−	0.894157i	$-0.352224\pi$
$491$	−2.27638	−	1.31427i	−0.102732	−	0.0593121i	−0.550486	+	0.834845i	$0.685557\pi$
$492$	0.323187	−	0.801914i	0.0145704	−	0.0361531i
$493$	−5.75157	−	3.32067i	−0.259038	−	0.149556i
$494$	−1.32383	+	4.04404i	−0.0595620	+	0.181950i
$495$	17.4764	−	9.52975i	0.785505	−	0.428331i
$496$	6.41882	+	1.42351i	0.288214	+	0.0639174i
$497$	−30.8223	+	0.987125i	−1.38257	+	0.0442786i
$498$	17.2619	+	1.15391i	0.773522	+	0.0517078i
$499$	−26.7446	+	15.4410i	−1.19725	+	0.691234i	−0.959942	−	0.280200i	$-0.909599\pi$
$499$	−26.7446	+	15.4410i	−1.19725	+	0.691234i	−0.237311	+	0.971434i	$0.576266\pi$
$500$	−9.64790	−	1.05697i	−0.431467	−	0.0472692i
$501$	2.63062	−	9.35978i	0.117528	−	0.418164i
$502$	23.9123	−	21.4356i	1.06726	−	0.956719i
$503$	−19.7686			−0.881436			−0.440718	−	0.897646i	$-0.645276\pi$
$503$	−19.7686			−0.881436			−0.440718	+	0.897646i	$0.645276\pi$
$504$	9.10989	−	20.5185i	0.405787	−	0.913968i
$505$	−11.7770			−0.524069
$506$	20.3985	−	18.2858i	0.906826	−	0.812904i
$507$	−13.0408	−	13.3626i	−0.579161	−	0.593454i
$508$	29.3894	+	3.21974i	1.30394	+	0.142853i
$509$	−21.5071	+	12.4171i	−0.953284	+	0.550379i	−0.894100	−	0.447868i	$-0.852183\pi$
$509$	−21.5071	+	12.4171i	−0.953284	+	0.550379i	−0.0591847	+	0.998247i	$0.518850\pi$
$510$	12.7527	+	25.9447i	0.564697	+	1.14885i
$511$	7.51829	+	12.1095i	0.332590	+	0.535695i
$512$	−21.6542	+	6.56485i	−0.956988	+	0.290128i
$513$	0.716044	+	3.12516i	0.0316141	+	0.137979i
$514$	−4.06948	+	12.4315i	−0.179497	+	0.548328i
$515$	−15.9619	−	9.21558i	−0.703363	−	0.406087i
$516$	16.0699	+	20.5319i	0.707440	+	0.903868i
$517$	5.88076	+	3.39526i	0.258636	+	0.149323i
$518$	29.2706	−	7.13990i	1.28608	−	0.313709i
$519$	4.84265	+	18.9962i	0.212569	+	0.833840i
$520$	−23.1680	−	32.3346i	−1.01598	−	1.41797i
$521$	−28.0791	+	16.2115i	−1.23017	+	0.710238i	−0.967065	−	0.254529i	$-0.918079\pi$
$521$	−28.0791	+	16.2115i	−1.23017	+	0.710238i	−0.263104	+	0.964768i	$0.584746\pi$
$522$	6.77045	−	1.25205i	0.296335	−	0.0548009i
$523$	3.72094	−	6.44486i	0.162705	−	0.281814i	−0.773133	−	0.634244i	$-0.781311\pi$
$523$	3.72094	−	6.44486i	0.162705	−	0.281814i	0.935838	+	0.352430i	$0.114645\pi$
$524$	−16.7574	+	7.37270i	−0.732050	+	0.322078i
$525$	14.7590	+	3.64264i	0.644135	+	0.158978i
$526$	−23.7776	+	4.99944i	−1.03675	+	0.217986i
$527$	−5.82538	+	3.36328i	−0.253758	+	0.146507i
$528$	−14.0476	−	7.53305i	−0.611344	−	0.327834i
$529$	23.9439	−	41.4721i	1.04104	−	1.80313i
$530$	−36.4836	+	7.67099i	−1.58475	+	0.333207i
$531$	−4.01683	+	2.19035i	−0.174315	+	0.0950530i
$532$	−1.84544	+	2.69340i	−0.0800098	+	0.116774i
$533$	−0.608548	−	1.05404i	−0.0263592	−	0.0456554i
$534$	30.5824	−	15.0323i	1.32343	−	0.650510i
$535$	−16.8613			−0.728979
$536$	−18.7921	+	13.4647i	−0.811693	+	0.581584i
$537$	−2.68268	+	2.61807i	−0.115766	+	0.112978i
$538$	−3.33776	+	10.1962i	−0.143901	+	0.439589i
$539$	14.4341	+	7.14361i	0.621722	+	0.307697i
$540$	−27.5172	−	11.8776i	−1.18415	−	0.511129i
$541$	−14.4680	+	25.0594i	−0.622030	+	1.07739i	0.367078	+	0.930190i	$0.380358\pi$
$541$	−14.4680	+	25.0594i	−0.622030	+	1.07739i	−0.989107	+	0.147197i	$0.952975\pi$
$542$	4.19945	+	19.9728i	0.180382	+	0.857904i
$543$	−0.761061	−	2.98540i	−0.0326603	−	0.128116i
$544$	11.7947	−	19.9198i	0.505695	−	0.854055i
$545$	−35.0776	−	20.2521i	−1.50256	−	0.867504i
$546$	−14.8416	−	27.9013i	−0.635163	−	1.19407i
$547$	12.0358	−	6.94888i	0.514614	−	0.297113i	−0.220114	−	0.975474i	$-0.570643\pi$
$547$	12.0358	−	6.94888i	0.514614	−	0.297113i	0.734728	+	0.678361i	$0.237310\pi$
$548$	33.7976	+	24.7833i	1.44376	+	1.05869i
$549$	−13.9054	−	25.5007i	−0.593467	−	1.08835i
$550$	3.35800	−	10.2580i	0.143185	−	0.437403i
$551$	−1.00135			−0.0426587
$552$	−40.6107	−	7.21665i	−1.72851	−	0.307161i
$553$	6.27909	−	0.201097i	0.267014	−	0.00855150i
$554$	2.17386	+	10.3390i	0.0923586	+	0.439262i
$555$	−9.93609	−	38.9761i	−0.421764	−	1.65444i
$556$	10.0793	+	7.39102i	0.427458	+	0.313449i
$557$	3.43086	+	5.94243i	0.145370	+	0.251789i	0.929511	−	0.368794i	$-0.120229\pi$
$557$	3.43086	+	5.94243i	0.145370	+	0.251789i	−0.784141	+	0.620583i	$0.786896\pi$
$558$	2.33044	−	6.57268i	0.0986554	−	0.278244i
$559$	36.7034			1.55239
$560$	−10.1029	−	28.8006i	−0.426923	−	1.21705i
$561$	15.8026	−	4.02851i	0.667184	−	0.170084i
$562$	3.37294	+	1.10414i	0.142279	+	0.0465754i
$563$	39.7956			1.67719			0.838593	−	0.544759i	$-0.183379\pi$
$563$	39.7956			1.67719			0.838593	+	0.544759i	$0.183379\pi$
$564$	−1.43169	−	10.1234i	−0.0602850	−	0.426273i
$565$			22.5251i			0.947640i
$566$	−11.4850	+	10.2955i	−0.482752	+	0.432753i
$567$	−20.4194	−	12.2493i	−0.857536	−	0.514424i
$568$	26.7984	−	19.2012i	1.12444	−	0.805666i
$569$	−0.267715			−0.0112232			−0.00561159	−	0.999984i	$-0.501786\pi$
$569$	−0.267715			−0.0112232			−0.00561159	+	0.999984i	$0.501786\pi$
$570$	3.62107	+	2.42633i	0.151670	+	0.101628i
$571$		−	33.0158i		−	1.38167i	−0.723014	−	0.690834i	$-0.757244\pi$
$571$		−	33.0158i		−	1.38167i	0.723014	−	0.690834i	$-0.242756\pi$
$572$	−20.5389	+	9.03645i	−0.858775	+	0.377833i
$573$	2.18792	+	8.58250i	0.0914016	+	0.358539i
$574$	−0.221306	−	0.907263i	−0.00923714	−	0.0378684i
$575$		−	27.9301i		−	1.16477i
$576$	4.10447	+	23.6464i	0.171019	+	0.985268i
$577$	2.15927	−	1.24665i	0.0898915	−	0.0518989i	−0.454380	−	0.890808i	$-0.650139\pi$
$577$	2.15927	−	1.24665i	0.0898915	−	0.0518989i	0.544272	+	0.838909i	$0.316806\pi$
$578$	−0.0735252	−	0.349689i	−0.00305824	−	0.0145452i
$579$	−12.1280	+	3.09176i	−0.504022	+	0.128489i
$580$	5.53530	−	7.54863i	0.229841	−	0.313440i
$581$	15.8757	−	9.85650i	0.658633	−	0.408917i
$582$	1.95970	−	29.3162i	0.0812323	−	1.21519i
$583$			21.0306i			0.870998i
$584$	−13.8792	−	6.28949i	−0.574325	−	0.260261i
$585$	−37.0417	+	20.1986i	−1.53148	+	0.835108i
$586$	−2.62121	+	0.551131i	−0.108281	+	0.0227670i
$587$	−2.07534	−	3.59459i	−0.0856583	−	0.148365i	0.820013	−	0.572345i	$-0.193966\pi$
$587$	−2.07534	−	3.59459i	−0.0856583	−	0.148365i	−0.905672	+	0.423980i	$0.860633\pi$
$588$	−4.92491	−	23.7433i	−0.203100	−	0.979158i
$589$	−0.507098	+	0.878319i	−0.0208946	+	0.0361905i
$590$	−1.93512	+	5.91141i	−0.0796676	+	0.243369i
$591$	7.29615	−	1.85999i	0.300124	−	0.0765099i
$592$	−21.7619	+	23.7454i	−0.894407	+	0.975932i
$593$	−10.8901	−	6.28739i	−0.447202	−	0.258192i	0.259446	−	0.965758i	$-0.416460\pi$
$593$	−10.8901	−	6.28739i	−0.447202	−	0.258192i	−0.706648	+	0.707565i	$0.749793\pi$
$594$	−9.75074	+	13.8118i	−0.400078	+	0.566704i
$595$	27.5282	+	14.7393i	1.12855	+	0.604251i
$596$	−17.2689	+	7.59775i	−0.707362	+	0.311216i
$597$	24.8655	+	25.4791i	1.01768	+	1.04279i
$598$	−43.2353	+	38.7573i	−1.76802	+	1.58490i
$599$		−	5.78330i		−	0.236299i	−0.992996	−	0.118150i	$-0.962304\pi$
$599$		−	5.78330i		−	0.236299i	0.992996	−	0.118150i	$-0.0376963\pi$
$600$	−15.2788	+	5.53795i	−0.623754	+	0.226086i
$601$	22.7080	−	13.1105i	0.926280	−	0.534788i	0.0406466	−	0.999174i	$-0.487058\pi$
$601$	22.7080	−	13.1105i	0.926280	−	0.534788i	0.885633	+	0.464386i	$0.153725\pi$
$602$	27.0313	+	7.90025i	1.10171	+	0.321990i
$603$	11.7389	+	21.5277i	0.478045	+	0.876675i
$604$	2.05632	−	2.80425i	0.0836703	−	0.114103i
$605$	14.2528	+	8.22888i	0.579461	+	0.334552i
$606$	8.97690	−	4.41244i	0.364662	−	0.179243i
$607$	0.836280	+	1.44848i	0.0339436	+	0.0587920i	0.882498	−	0.470316i	$-0.155860\pi$
$607$	0.836280	+	1.44848i	0.0339436	+	0.0587920i	−0.848555	+	0.529108i	$0.822527\pi$
$608$	0.0383904	−	3.49019i	0.00155694	−	0.141546i
$609$	5.15340	−	5.36192i	0.208826	−	0.217276i
$610$	−37.5285	−	12.2851i	−1.51948	−	0.497408i
$611$	−12.4644	−	7.19635i	−0.504257	−	0.291133i
$612$	−19.4412	−	14.9981i	−0.785864	−	0.606263i
$613$	−20.0588	−	34.7428i	−0.810166	−	1.40325i	−0.912748	−	0.408524i	$-0.866044\pi$
$613$	−20.0588	−	34.7428i	−0.810166	−	1.40325i	0.102582	−	0.994725i	$-0.467290\pi$
$614$	6.38047	−	5.71963i	0.257495	−	0.230826i
$615$	−1.20809	+	0.307976i	−0.0487149	+	0.0124188i
$616$	−17.0715	+	2.23424i	−0.687832	+	0.0900202i
$617$	−1.39950	+	2.42400i	−0.0563416	+	0.0975865i	−0.892821	−	0.450413i	$-0.851277\pi$
$617$	−1.39950	+	2.42400i	−0.0563416	+	0.0975865i	0.836479	+	0.547999i	$0.184610\pi$
$618$	15.6195	+	1.04412i	0.628310	+	0.0420008i
$619$	−12.4549	+	21.5725i	−0.500605	+	0.867074i	0.499394	+	0.866375i	$0.333556\pi$
$619$	−12.4549	+	21.5725i	−0.500605	+	0.867074i	−1.00000		0.000699141i	$0.999777\pi$
$620$	−3.81802	−	8.67798i	−0.153336	−	0.348516i
$621$	−12.8603	+	41.8161i	−0.516066	+	1.67802i
$622$	−17.2081	+	15.4259i	−0.689983	+	0.618520i
$623$	17.3740	−	32.4490i	0.696074	−	1.30004i
$624$	29.7743	+	15.9665i	1.19193	+	0.639171i
$625$	15.2910	+	26.4848i	0.611640	+	1.05939i
$626$	−8.46675	−	9.44498i	−0.338399	−	0.377497i
$627$	1.75971	−	1.71733i	0.0702762	−	0.0685836i
$628$	−44.4615	−	4.87096i	−1.77421	−	0.194372i
$629$		−	32.9527i		−	1.31391i
$630$	−31.6281	+	6.90277i	−1.26009	+	0.275013i
$631$			24.4900i			0.974933i	0.873142	+	0.487466i	$0.162079\pi$
$631$			24.4900i			0.974933i	−0.873142	+	0.487466i	$0.837921\pi$
$632$	−5.45935	+	3.91167i	−0.217161	+	0.155598i
$633$	−8.40542	−	2.36239i	−0.334085	−	0.0938967i
$634$	−25.2177	+	22.6059i	−1.00152	+	0.897794i
$635$	−21.3164	−	36.9210i	−0.845914	−	1.46517i
$636$	24.9353	−	19.5163i	0.988747	−	0.773873i
$637$	−30.5935	−	15.1411i	−1.21216	−	0.599911i
$638$	−3.52462	−	3.93185i	−0.139541	−	0.155663i
$639$	−16.7402	−	30.6995i	−0.662234	−	1.21445i
$640$	26.0985	+	19.5827i	1.03164	+	0.774075i
$641$	3.96579	−	6.86895i	0.156639	−	0.271307i	−0.777015	−	0.629482i	$-0.783267\pi$
$641$	3.96579	−	6.86895i	0.156639	−	0.271307i	0.933655	+	0.358174i	$0.116601\pi$
$642$	12.8524	−	6.31738i	0.507244	−	0.249327i
$643$	11.6480	−	20.1750i	0.459354	−	0.795625i	−0.539573	−	0.841939i	$-0.681414\pi$
$643$	11.6480	−	20.1750i	0.459354	−	0.795625i	0.998927	+	0.0463143i	$0.0147476\pi$
$644$	−40.1842	+	19.2377i	−1.58348	+	0.758073i
$645$	10.1727	−	36.1946i	0.400550	−	1.42516i
$646$	2.38361	+	2.65901i	0.0937820	+	0.104617i
$647$	14.6952	+	25.4529i	0.577729	+	1.00066i	0.995739	+	0.0922139i	$0.0293943\pi$
$647$	14.6952	+	25.4529i	0.577729	+	1.00066i	−0.418010	+	0.908442i	$0.637272\pi$
$648$	25.4248	−	1.25618i	0.998782	−	0.0493475i
$649$	3.03869	+	1.75439i	0.119279	+	0.0688658i
$650$	−7.11736	+	21.7421i	−0.279166	+	0.852797i
$651$	−2.09338	−	7.23561i	−0.0820460	−	0.283586i
$652$	9.91786	−	13.5252i	0.388413	−	0.529689i
$653$	23.0759	+	39.9686i	0.903028	+	1.56409i	0.823543	+	0.567254i	$0.191994\pi$
$653$	23.0759	+	39.9686i	0.903028	+	1.56409i	0.0794852	+	0.996836i	$0.474672\pi$
$654$	34.3254	+	2.29456i	1.34223	+	0.0897242i
$655$	22.8625	+	13.1996i	0.893310	+	0.515753i
$656$	0.736007	+	0.674524i	0.0287362	+	0.0263357i
$657$	−8.41980	+	13.7957i	−0.328488	+	0.538220i
$658$	−7.63081	−	7.98287i	−0.297480	−	0.311205i
$659$	13.7222	−	7.92254i	0.534543	−	0.308618i	−0.208322	−	0.978060i	$-0.566800\pi$
$659$	13.7222	−	7.92254i	0.534543	−	0.308618i	0.742864	+	0.669442i	$0.233467\pi$
$660$	3.21862	+	22.7588i	0.125285	+	0.885883i
$661$		−	13.3242i		−	0.518251i	−0.965844	−	0.259126i	$-0.916566\pi$
$661$		−	13.3242i		−	0.518251i	0.965844	−	0.259126i	$-0.0834344\pi$
$662$	1.93339	+	2.15677i	0.0751434	+	0.0838254i
$663$	−33.4939	+	8.53854i	−1.30080	+	0.331609i
$664$	−8.24554	+	18.1957i	−0.319989	+	0.706129i
$665$	4.70564	−	0.150705i	0.182477	−	0.00584407i
$666$	22.1767	+	25.9865i	0.859331	+	1.00695i
$667$	−11.8331	−	6.83186i	−0.458181	−	0.264531i
$668$	9.05331	+	6.63866i	0.350283	+	0.256858i
$669$	30.2750	+	31.0221i	1.17050	+	1.19939i
$670$	31.6815	+	10.3710i	1.22396	+	0.400668i
$671$	−11.1377	+	19.2911i	−0.429966	+	0.744724i
$672$	18.4914	+	18.1678i	0.713322	+	0.700837i
$673$	6.69218	+	11.5912i	0.257965	+	0.446808i	0.965697	−	0.259673i	$-0.0836149\pi$
$673$	6.69218	+	11.5912i	0.257965	+	0.446808i	−0.707732	+	0.706481i	$0.750282\pi$
$674$	−5.35933	−	25.4892i	−0.206434	−	0.981809i
$675$	3.84969	+	16.8019i	0.148175	+	0.646706i
$676$	19.7343	−	8.68245i	0.759012	−	0.333940i
$677$		−	4.68175i		−	0.179934i	−0.995945	−	0.0899672i	$-0.971324\pi$
$677$		−	4.68175i		−	0.179934i	0.995945	−	0.0899672i	$-0.0286762\pi$
$678$	−8.43941	−	17.1696i	−0.324114	−	0.659394i
$679$	−16.7395	−	26.9620i	−0.642403	−	1.03471i
$680$	−33.2212	+	3.27018i	−1.27398	+	0.125406i
$681$	5.20251	−	18.5106i	0.199361	−	0.709327i
$682$	−5.23370	+	1.10043i	−0.200409	+	0.0421376i
$683$	−31.2594	+	18.0476i	−1.19611	+	0.690573i	−0.959685	−	0.281078i	$-0.909308\pi$
$683$	−31.2594	+	18.0476i	−1.19611	+	0.690573i	−0.236422	+	0.971650i	$0.575975\pi$
$684$	−3.66919	−	0.492752i	−0.140295	−	0.0188409i
$685$		−	60.4344i		−	2.30908i
$686$	−19.2724	−	17.7362i	−0.735825	−	0.677171i
$687$	30.6884	−	29.9493i	1.17083	−	1.14264i
$688$	−28.7138	+	9.05113i	−1.09470	+	0.345071i
$689$		−	44.5749i		−	1.69817i
$690$	26.2370	+	53.3779i	0.998825	+	2.03206i
$691$	−8.74583			−0.332707			−0.166354	−	0.986066i	$-0.553199\pi$
$691$	−8.74583			−0.332707			−0.166354	+	0.986066i	$0.553199\pi$
$692$	−22.5018	−	2.46517i	−0.855390	−	0.0937119i
$693$	0.139499	+	18.2610i	0.00529913	+	0.693677i
$694$	−3.32568	−	3.70992i	−0.126241	−	0.140827i
$695$		−	18.0231i		−	0.683656i
$696$	−1.39102	+	7.82776i	−0.0527264	+	0.296711i
$697$	−1.02139			−0.0386880
$698$	14.2644	−	43.5748i	0.539914	−	1.64933i
$699$	8.87044	−	31.5611i	0.335511	−	1.19375i
$700$	−9.92169	+	14.4806i	−0.375004	+	0.547317i
$701$	40.7123			1.53768			0.768841	−	0.639440i	$-0.220834\pi$
$701$	40.7123			1.53768			0.768841	+	0.639440i	$0.220834\pi$
$702$	20.6670	−	29.2745i	0.780024	−	1.10489i
$703$	−2.48421	−	4.30279i	−0.0936939	−	0.162283i
$704$	13.8396	−	12.1343i	0.521599	−	0.457330i
$705$	−10.5512	+	10.2971i	−0.397382	+	0.387812i
$706$	−14.2302	+	2.99202i	−0.535560	+	0.112606i
$707$	5.09981	−	9.52482i	0.191798	−	0.358218i
$708$	−0.739778	−	5.23094i	−0.0278026	−	0.196591i
$709$	18.9479			0.711603			0.355802	−	0.934561i	$-0.384208\pi$
$709$	18.9479			0.711603			0.355802	+	0.934561i	$0.384208\pi$
$710$	−45.1793	−	14.7896i	−1.69555	−	0.555044i
$711$	3.41031	+	6.25409i	0.127897	+	0.234547i
$712$	3.85474	+	39.1597i	0.144462	+	1.46757i
$713$	−11.9850	+	6.91953i	−0.448841	+	0.259139i
$714$	−26.5055	−	0.920970i	−0.991942	−	0.0344664i
$715$	28.0217	+	16.1783i	1.04795	+	0.605035i
$716$	−1.74309	−	3.96186i	−0.0651423	−	0.148062i
$717$	9.44577	+	2.65479i	0.352759	+	0.0991449i
$718$	−45.7105	+	9.61102i	−1.70590	+	0.358680i
$719$	9.16079	−	15.8669i	0.341640	−	0.591737i	−0.643098	−	0.765784i	$-0.722351\pi$
$719$	9.16079	−	15.8669i	0.341640	−	0.591737i	0.984737	+	0.174047i	$0.0556844\pi$
$720$	23.9974	−	24.9363i	0.894331	−	0.929320i
$721$	14.3652	−	8.91875i	0.534989	−	0.332151i
$722$	−25.0249	−	8.19200i	−0.931331	−	0.304874i
$723$	10.7976	+	3.03474i	0.401568	+	0.112863i
$724$	3.53633	+	0.387422i	0.131427	+	0.0143984i
$725$	−5.38357			−0.199941
$726$	−13.9472	−	0.932330i	−0.517629	−	0.0346020i
$727$	24.7364	+	42.8448i	0.917424	+	1.58902i	0.803314	+	0.595556i	$0.203068\pi$
$727$	24.7364	+	42.8448i	0.917424	+	1.58902i	0.114110	+	0.993468i	$0.463598\pi$
$728$	36.1836	−	4.73554i	1.34105	−	0.175511i
$729$	1.97273	−	26.9278i	0.0730640	−	0.997327i
$730$	4.52109	+	21.5025i	0.167333	+	0.795844i
$731$	15.4008	−	26.6750i	0.569620	−	0.986611i
$732$	33.2085	−	4.69647i	1.22742	−	0.173586i
$733$	−24.3805	+	14.0761i	−0.900513	+	0.519911i	−0.877366	−	0.479821i	$-0.840702\pi$
$733$	−24.3805	+	14.0761i	−0.900513	+	0.519911i	−0.0231461	+	0.999732i	$0.507368\pi$
$734$	9.39524	+	44.6842i	0.346784	+	1.64932i
$735$	−23.4105	+	25.9730i	−0.863509	+	0.958027i
$736$	24.2661	−	40.9825i	0.894462	−	1.51063i
$737$	9.40243	−	16.2855i	0.346343	−	0.599884i
$738$	0.805468	−	0.687383i	0.0296497	−	0.0253029i
$739$	−0.274010	+	0.158200i	−0.0100796	+	0.00581948i	−0.505031	−	0.863101i	$-0.668519\pi$
$739$	−0.274010	+	0.158200i	−0.0100796	+	0.00581948i	0.494952	+	0.868920i	$0.335186\pi$
$740$	46.1689	+	5.05801i	1.69720	+	0.185936i
$741$	−3.72976	+	3.63993i	−0.137016	+	0.133716i
$742$	9.59455	−	32.8285i	0.352227	−	1.20517i
$743$	−13.3820	−	7.72609i	−0.490937	−	0.283443i	0.234026	−	0.972230i	$-0.424810\pi$
$743$	−13.3820	−	7.72609i	−0.490937	−	0.283443i	−0.724963	+	0.688788i	$0.758143\pi$
$744$	6.16160	+	5.18422i	0.225895	+	0.190063i
$745$	23.5603	+	13.6026i	0.863184	+	0.498359i
$746$	25.4530	+	8.33214i	0.931901	+	0.305061i
$747$	18.0862	+	11.0384i	0.661738	+	0.403873i
$748$	−2.05073	+	18.7188i	−0.0749822	+	0.684428i
$749$	7.30150	−	13.6369i	0.266791	−	0.498280i
$750$	−9.87503	−	6.61684i	−0.360585	−	0.241613i
$751$	−40.8199	+	23.5674i	−1.48954	+	0.859986i	−0.999929	−	0.0119556i	$-0.996194\pi$
$751$	−40.8199	+	23.5674i	−1.48954	+	0.859986i	−0.489610	+	0.871941i	$0.662861\pi$
$752$	11.5258	+	2.55609i	0.420303	+	0.0932109i
$753$	38.1120	−	9.71582i	1.38888	−	0.354064i
$754$	7.47052	+	8.33365i	0.272060	+	0.303494i
$755$	−5.01435			−0.182491
$756$	21.5220	−	17.1115i	0.782746	−	0.622341i
$757$	12.2405			0.444888			0.222444	−	0.974945i	$-0.428596\pi$
$757$	12.2405			0.444888			0.222444	+	0.974945i	$0.428596\pi$
$758$	12.6928	+	14.1593i	0.461025	+	0.514290i
$759$	32.5118	−	8.28815i	1.18010	−	0.300841i
$760$	−4.09131	+	2.93146i	−0.148408	+	0.106335i
$761$	4.14730	−	2.39444i	0.150339	−	0.0867985i	−0.422943	−	0.906156i	$-0.639003\pi$
$761$	4.14730	−	2.39444i	0.150339	−	0.0867985i	0.573283	+	0.819358i	$0.305670\pi$
$762$	30.0813	+	20.1562i	1.08973	+	0.730182i
$763$	31.5689	−	19.5998i	1.14287	−	0.709559i
$764$	−10.1663	−	1.11377i	−0.367805	−	0.0402948i
$765$	−0.863002	+	35.3962i	−0.0312019	+	1.27975i
$766$	1.69354	+	0.554387i	0.0611902	+	0.0200308i
$767$	−6.44059	−	3.71847i	−0.232556	−	0.134266i
$768$	−27.2304	−	5.14851i	−0.982591	−	0.185781i
$769$	23.0936	+	13.3331i	0.832775	+	0.480803i	0.854802	−	0.518954i	$-0.173679\pi$
$769$	23.0936	+	13.3331i	0.832775	+	0.480803i	−0.0220266	+	0.999757i	$0.507012\pi$
$770$	17.1551	+	17.9465i	0.618225	+	0.646748i
$771$	−11.4653	+	11.1892i	−0.412914	+	0.402970i
$772$	1.57388	−	14.3661i	0.0566450	−	0.517049i
$773$	−11.8079	+	6.81730i	−0.424701	+	0.245201i	−0.697087	−	0.716987i	$-0.745521\pi$
$773$	−11.8079	+	6.81730i	−0.424701	+	0.245201i	0.272386	+	0.962188i	$0.412187\pi$
$774$	5.80685	+	31.4004i	0.208723	+	1.12866i
$775$	−2.72633	+	4.72214i	−0.0979326	+	0.169624i
$776$	30.9021	+	14.0036i	1.10932	+	0.502699i
$777$	35.8251	+	8.84193i	1.28522	+	0.317202i
$778$	−2.29610	−	10.9204i	−0.0823192	−	0.391515i
$779$	−0.133368	+	0.0769999i	−0.00477840	+	0.00275881i
$780$	−6.82196	−	48.2378i	−0.244265	−	1.72719i
$781$	−13.4083	+	23.2239i	−0.479788	+	0.831017i
$782$	10.0261	+	47.6848i	0.358534	+	1.70520i
$783$	8.06010	+	2.47884i	0.288045	+	0.0885866i
$784$	27.6677	+	4.30073i	0.988134	+	0.153597i
$785$	32.2483	+	55.8556i	1.15099	+	1.99357i
$786$	−22.3722	−	1.49552i	−0.797989	−	0.0533433i
$787$	46.1292			1.64433			0.822163	−	0.569252i	$-0.192767\pi$
$787$	46.1292			1.64433			0.822163	+	0.569252i	$0.192767\pi$
$788$	−0.946838	+	8.64261i	−0.0337297	+	0.307880i
$789$	−28.6482	−	8.05175i	−1.01990	−	0.286650i
$790$	9.20390	+	3.01293i	0.327460	+	0.107195i
$791$	−18.2175	−	9.75410i	−0.647741	−	0.346816i
$792$	−10.9803	−	16.1417i	−0.390168	−	0.573572i
$793$	23.6067	−	40.8879i	0.838297	−	1.45197i
$794$	−1.12834	+	0.237242i	−0.0400431	+	0.00841941i
$795$	−43.9570	−	12.3544i	−1.55899	−	0.438165i
$796$	−37.6284	+	16.5553i	−1.33370	+	0.586785i
$797$	−10.2839	−	5.93744i	−0.364276	−	0.210315i	0.306679	−	0.951813i	$-0.400782\pi$
$797$	−10.2839	−	5.93744i	−0.364276	−	0.210315i	−0.670955	+	0.741498i	$0.734116\pi$
$798$	−3.53037	+	1.87792i	−0.124974	+	0.0664776i
$799$	−10.4602	+	6.03920i	−0.370055	+	0.213652i
$800$	0.206400	−	18.7645i	0.00729734	−	0.663424i
$801$	41.7234	+	1.01727i	1.47423	+	0.0359434i
$802$	13.0357	+	4.26729i	0.460307	+	0.150683i
$803$	12.3949			0.437406
$804$	−28.0346	+	3.96475i	−0.988704	+	0.139826i
$805$	56.6359	+	30.3242i	1.99615	+	1.06879i
$806$	11.0930	−	2.33239i	0.390733	−	0.0821549i
$807$	−9.40379	+	9.17731i	−0.331029	+	0.323056i
$808$	1.13149	+	11.4946i	0.0398056	+	0.404378i
$809$	−0.118023	−	0.204421i	−0.00414946	−	0.00718707i	0.863943	−	0.503589i	$-0.167987\pi$
$809$	−0.118023	−	0.204421i	−0.00414946	−	0.00718707i	−0.868093	+	0.496402i	$0.834654\pi$
$810$	−23.1406	−	28.4942i	−0.813078	−	1.00118i
$811$	−38.4776			−1.35113			−0.675565	−	0.737300i	$-0.736100\pi$
$811$	−38.4776			−1.35113			−0.675565	+	0.737300i	$0.736100\pi$
$812$	3.70810	+	7.74555i	0.130129	+	0.271816i
$813$	−6.76334	+	24.0640i	−0.237201	+	0.843963i
$814$	8.15101	−	24.8997i	0.285693	−	0.872735i
$815$	−24.1848			−0.847158
$816$	24.0973	−	14.9395i	0.843576	−	0.522988i
$817$		−	4.64410i		−	0.162477i
$818$	−7.78737	−	8.68711i	−0.272279	−	0.303738i
$819$	−0.295672	−	38.7046i	−0.0103316	−	1.35245i
$820$	0.156777	−	1.43104i	0.00547487	−	0.0499740i
$821$	−11.5569			−0.403339			−0.201670	−	0.979454i	$-0.564637\pi$
$821$	−11.5569			−0.403339			−0.201670	+	0.979454i	$0.564637\pi$
$822$	22.6428	+	46.0656i	0.789757	+	1.60672i
$823$			16.1357i			0.562456i	0.959641	+	0.281228i	$0.0907417\pi$
$823$			16.1357i			0.562456i	−0.959641	+	0.281228i	$0.909258\pi$
$824$	−7.46105	+	16.4645i	−0.259918	+	0.573568i
$825$	9.46081	−	9.23296i	0.329383	−	0.321450i
$826$	−3.94297	−	4.12488i	−0.137193	−	0.143523i
$827$		−	38.7636i		−	1.34794i	−0.738758	−	0.673971i	$-0.764587\pi$
$827$		−	38.7636i		−	1.34794i	0.738758	−	0.673971i	$-0.235413\pi$
$828$	−39.9978	−	30.8567i	−1.39002	−	1.07234i
$829$	−37.3363	+	21.5561i	−1.29674	+	0.748675i	−0.979840	−	0.199782i	$-0.935976\pi$
$829$	−37.3363	+	21.5561i	−1.29674	+	0.748675i	−0.316904	+	0.948458i	$0.602643\pi$
$830$	28.1899	−	5.92716i	0.978485	−	0.205735i
$831$	−3.50108	+	12.4569i	−0.121451	+	0.432124i
$832$	−29.3334	+	25.7190i	−1.01695	+	0.891647i
$833$	−23.8412	+	15.8813i	−0.826049	+	0.550254i
$834$	6.75266	+	13.7380i	0.233825	+	0.475707i
$835$		−	16.1885i		−	0.560225i
$836$	1.14339	+	2.59880i	0.0395449	+	0.0898814i
$837$	6.25606	−	5.81450i	0.216241	−	0.200979i
$838$	−1.99937	−	9.50910i	−0.0690670	−	0.328486i
$839$	7.11267	+	12.3195i	0.245557	+	0.425316i	0.962288	−	0.272033i	$-0.0876960\pi$
$839$	7.11267	+	12.3195i	0.245557	+	0.425316i	−0.716731	+	0.697349i	$0.754363\pi$
$840$	5.35874	−	36.9945i	0.184894	−	1.27643i
$841$	13.1831	−	22.8339i	0.454591	−	0.787375i
$842$	−32.3728	−	10.5973i	−1.11564	−	0.365208i
$843$	3.03589	+	3.11081i	0.104562	+	0.107142i
$844$	5.96176	−	8.13019i	0.205212	−	0.279853i
$845$	−26.9239	−	15.5445i	−0.926211	−	0.534748i
$846$	4.18460	−	11.8021i	0.143869	−	0.405764i
$847$	−12.8272	+	7.96383i	−0.440747	+	0.273640i
$848$	10.9923	+	34.8718i	0.377476	+	1.19750i
$849$	−18.3052	+	4.66650i	−0.628232	+	0.160154i
$850$	12.8151	+	14.2957i	0.439555	+	0.490340i
$851$		−	67.7960i		−	2.32402i
$852$	39.9787	−	5.65393i	1.36965	−	0.193700i
$853$	−0.104188	+	0.0601528i	−0.00356732	+	0.00205959i	−0.501783	−	0.864994i	$-0.667322\pi$
$853$	−0.104188	+	0.0601528i	−0.00356732	+	0.00205959i	0.498215	+	0.867053i	$0.333989\pi$
$854$	26.1868	−	25.0319i	0.896092	−	0.856573i
$855$	2.55574	+	4.68690i	0.0874043	+	0.160289i
$856$	1.61997	+	16.4570i	0.0553694	+	0.562489i
$857$	−32.2981	−	18.6473i	−1.10328	−	0.636980i	−0.166201	−	0.986092i	$-0.553150\pi$
$857$	−32.2981	−	18.6473i	−1.10328	−	0.636980i	−0.937081	+	0.349112i	$0.886483\pi$
$858$	−27.4207	−	1.83300i	−0.936129	−	0.0625776i
$859$	−23.8235	−	41.2635i	−0.812847	−	1.40789i	−0.910864	−	0.412707i	$-0.864583\pi$
$859$	−23.8235	−	41.2635i	−0.812847	−	1.40789i	0.0980167	−	0.995185i	$-0.468750\pi$
$860$	35.0095	+	25.6720i	1.19381	+	0.875407i
$861$	0.274062	−	1.11043i	0.00934000	−	0.0378432i
$862$	−15.3149	+	46.7840i	−0.521627	+	1.59347i
$863$	22.9114	+	13.2279i	0.779913	+	0.450283i	0.836400	−	0.548120i	$-0.184656\pi$
$863$	22.9114	+	13.2279i	0.779913	+	0.450283i	−0.0564863	+	0.998403i	$0.517990\pi$
$864$	−8.94902	+	27.9985i	−0.304452	+	0.952528i
$865$	16.3207	+	28.2683i	0.554922	+	0.961152i
$866$	−16.6184	−	18.5384i	−0.564715	−	0.629961i
$867$	0.118415	−	0.421320i	0.00402157	−	0.0143088i
$868$	8.67177	+	0.669956i	0.294339	+	0.0227398i
$869$	2.73154	−	4.73116i	0.0926610	−	0.160494i
$870$	10.2887	−	5.05721i	0.348818	−	0.171456i
$871$	−19.9287	+	34.5175i	−0.675259	+	1.16958i
$872$	−16.3963	+	36.1823i	−0.555250	+	1.22529i
$873$	18.7467	−	30.7161i	0.634481	−	1.03958i
$874$	4.90398	+	5.47058i	0.165880	+	0.185045i
$875$	−12.8328	+	0.410987i	−0.433826	+	0.0138939i
$876$	−11.5024	−	14.6962i	−0.388631	−	0.496539i
$877$	0.573464	+	0.993269i	0.0193645	+	0.0335403i	0.875545	−	0.483136i	$-0.160502\pi$
$877$	0.573464	+	0.993269i	0.0193645	+	0.0335403i	−0.856181	+	0.516676i	$0.827169\pi$
$878$	3.65917	−	3.28019i	0.123491	−	0.110701i
$879$	−3.15814	−	0.887615i	−0.106522	−	0.0299385i
$880$	−25.9115	−	5.74642i	−0.873476	−	0.193712i
$881$			15.3416i			0.516872i	0.966028	+	0.258436i	$0.0832070\pi$
$881$			15.3416i			0.516872i	−0.966028	+	0.258436i	$0.916793\pi$
$882$	8.11324	−	28.5688i	0.273187	−	0.961961i
$883$		−	3.77848i		−	0.127156i	−0.997977	−	0.0635781i	$-0.979749\pi$
$883$		−	3.77848i		−	0.127156i	0.997977	−	0.0635781i	$-0.0202512\pi$
$884$	4.34658	−	39.6750i	0.146191	−	1.33442i
$885$	−5.45200	+	5.32070i	−0.183267	+	0.178853i
$886$	−12.6821	−	14.1473i	−0.426063	−	0.475289i
$887$	−17.0094	−	29.4611i	−0.571119	−	0.989208i	−0.996451	−	0.0841704i	$-0.973176\pi$
$887$	−17.0094	−	29.4611i	−0.571119	−	0.989208i	0.425332	−	0.905037i	$-0.360157\pi$
$888$	−37.0869	+	13.4425i	−1.24455	+	0.451101i
$889$	39.0911	−	1.25195i	1.31107	−	0.0419889i
$890$	42.2500	−	37.8741i	1.41622	−	1.26954i
$891$	−18.4157	+	9.46709i	−0.616949	+	0.317159i
$892$	−45.8145	+	20.1569i	−1.53398	+	0.674902i
$893$	−0.910557	+	1.57713i	−0.0304706	+	0.0527767i
$894$	−23.0551	−	1.54117i	−0.771077	−	0.0515443i
$895$	−3.12072	+	5.40525i	−0.104314	+	0.180677i
$896$	−27.1393	+	12.6276i	−0.906661	+	0.421860i
$897$	−68.9096	+	17.5670i	−2.30082	+	0.586544i
$898$	−14.4969	+	12.9954i	−0.483766	+	0.433662i
$899$	1.33375	+	2.31012i	0.0444830	+	0.0770469i
$900$	−19.7268	−	2.64920i	−0.657561	−	0.0883068i
$901$	−32.3958	−	18.7037i	−1.07926	−	0.623111i
$902$	−0.771784	−	0.252646i	−0.0256976	−	0.00841220i
$903$	24.8678	+	23.9008i	0.827550	+	0.795368i
$904$	21.9850	−	2.16413i	0.731211	−	0.0719778i
$905$	−2.56493	−	4.44259i	−0.0852612	−	0.147677i
$906$	3.82215	−	1.87871i	0.126982	−	0.0624160i
$907$	47.4611	+	27.4017i	1.57592	+	0.909857i	0.995420	+	0.0955961i	$0.0304757\pi$
$907$	47.4611	+	27.4017i	1.57592	+	0.909857i	0.580499	+	0.814261i	$0.302858\pi$
$908$	17.9045	+	13.1291i	0.594181	+	0.435705i
$909$	12.2471	+	0.298600i	0.406212	+	0.00990394i
$910$	−36.3606	−	38.0382i	−1.20534	−	1.26095i
$911$	−10.6659	+	6.15799i	−0.353379	+	0.204023i	−0.666172	−	0.745798i	$-0.732068\pi$
$911$	−10.6659	+	6.15799i	−0.353379	+	0.204023i	0.312794	+	0.949821i	$0.398735\pi$
$912$	2.02025	−	3.76736i	0.0668971	−	0.124750i
$913$		−	16.2497i		−	0.537788i
$914$	28.0074	−	25.1066i	0.926402	−	0.830453i
$915$	−33.7783	−	34.6119i	−1.11668	−	1.14424i
$916$	19.9400	+	45.3216i	0.658836	+	1.49747i
$917$	−20.5756	+	12.7745i	−0.679466	+	0.421851i
$918$	−12.6040	−	27.3038i	−0.415992	−	0.901159i
$919$	15.5914	+	9.00170i	0.514313	+	0.296939i	0.734605	−	0.678495i	$-0.237368\pi$
$919$	15.5914	+	9.00170i	0.514313	+	0.296939i	−0.220292	+	0.975434i	$0.570701\pi$
$920$	−68.3484	+	6.72797i	−2.25338	+	0.221815i
$921$	10.1694	−	2.59245i	0.335092	−	0.0854243i
$922$	−11.4166	+	34.8754i	−0.375986	+	1.14856i
$923$	28.4193	−	49.2237i	0.935433	−	1.62022i
$924$	−19.8002	−	7.25216i	−0.651380	−	0.238578i
$925$	−13.3560	−	23.1332i	−0.439142	−	0.760616i
$926$	−13.2013	+	2.77568i	−0.433821	+	0.0912146i
$927$	16.3654	+	9.98819i	0.537511	+	0.328055i
$928$	−7.89943	−	4.67733i	−0.259312	−	0.153541i
$929$			43.1060i			1.41426i	0.707083	+	0.707130i	$0.250011\pi$
$929$			43.1060i			1.41426i	−0.707083	+	0.707130i	$0.749989\pi$
$930$	0.774467	−	11.5856i	0.0253958	−	0.379908i
$931$	−1.91581	+	3.87102i	−0.0627881	+	0.126867i
$932$	30.5277	+	22.3855i	0.999968	+	0.733262i
$933$	−27.4268	+	6.99185i	−0.897913	+	0.228903i
$934$	−1.93059	−	9.18197i	−0.0631707	−	0.300443i
$935$	23.5159	−	13.5769i	0.769052	−	0.444012i
$936$	23.2731	+	34.2129i	0.760704	+	1.11828i
$937$		−	9.29097i		−	0.303523i	−0.988417	−	0.151761i	$-0.951505\pi$
$937$		−	9.29097i		−	0.303523i	0.988417	−	0.151761i	$-0.0484945\pi$
$938$	−22.1068	+	21.1319i	−0.721813	+	0.689980i
$939$	−3.83760	−	15.0537i	−0.125235	−	0.491258i
$940$	−6.85574	−	15.5824i	−0.223610	−	0.508242i
$941$		−	29.7972i		−	0.971360i	−0.874137	−	0.485680i	$-0.838572\pi$
$941$		−	29.7972i		−	0.971360i	0.874137	−	0.485680i	$-0.161428\pi$
$942$	−45.5082	−	30.4931i	−1.48274	−	0.993519i
$943$	−2.10139			−0.0684305
$944$	5.95558	+	1.32077i	0.193838	+	0.0429875i
$945$	−38.2501	−	10.4358i	−1.24427	−	0.339477i
$946$	18.2354	−	16.3467i	0.592883	−	0.531477i
$947$		−	1.00430i		−	0.0326354i	−0.999867	−	0.0163177i	$-0.994806\pi$
$947$		−	1.00430i		−	0.0326354i	0.999867	−	0.0163177i	$-0.00519432\pi$
$948$	−8.14444	+	1.15181i	−0.264519	+	0.0374092i
$949$	−26.2713			−0.852803
$950$	2.75104	+	0.900564i	0.0892557	+	0.0292182i
$951$	−40.1927	+	10.2462i	−1.30334	+	0.332257i
$952$	11.7410	−	28.2842i	0.380529	−	0.916697i
$953$	−27.1024			−0.877932			−0.438966	−	0.898504i	$-0.644655\pi$
$953$	−27.1024			−0.877932			−0.438966	+	0.898504i	$0.644655\pi$
$954$	38.1346	−	7.05220i	1.23465	−	0.228324i
$955$	7.37373	+	12.7717i	0.238608	+	0.413282i
$956$	−6.69965	+	9.13648i	−0.216682	+	0.295495i
$957$	−1.59755	−	6.26668i	−0.0516415	−	0.202573i
$958$	−8.12119	−	38.6248i	−0.262384	−	1.24791i
$959$	48.8773	+	26.1700i	1.57833	+	0.845075i
$960$	17.2325	+	36.0551i	0.556176	+	1.16367i
$961$	−28.2983			−0.912847
$962$	−17.2763	+	52.7756i	−0.557010	+	1.70155i
$963$	17.5345	+	0.427511i	0.565040	+	0.0137764i
$964$	−7.65849	+	10.4441i	−0.246663	+	0.336381i
$965$	−18.0478	+	10.4199i	−0.580978	+	0.335428i
$966$	−54.5316	−	1.89478i	−1.75453	−	0.0609635i
$967$	28.1124	+	16.2307i	0.904033	+	0.521944i	0.878506	−	0.477730i	$-0.158540\pi$
$967$	28.1124	+	16.2307i	0.904033	+	0.521944i	0.0255266	+	0.999674i	$0.491874\pi$
$968$	6.66221	−	14.7017i	0.214132	−	0.472530i
$969$	1.08039	+	4.23801i	0.0347070	+	0.136144i
$970$	−10.0662	−	47.8755i	−0.323207	−	1.53719i
$971$	−20.1407	+	34.8847i	−0.646345	+	1.11950i	0.337644	+	0.941274i	$0.390370\pi$
$971$	−20.1407	+	34.8847i	−0.646345	+	1.11950i	−0.983989	+	0.178228i	$0.942963\pi$
$972$	28.3145	+	13.0494i	0.908189	+	0.418560i
$973$	14.5765	+	7.80458i	0.467300	+	0.250203i
$974$	16.5997	−	50.7089i	0.531890	−	1.62482i
$975$	−20.0524	+	19.5695i	−0.642192	+	0.626726i
$976$	−8.38491	+	37.8089i	−0.268394	+	1.21023i
$977$	−9.75340			−0.312039			−0.156019	−	0.987754i	$-0.549866\pi$
$977$	−9.75340			−0.312039			−0.156019	+	0.987754i	$0.549866\pi$
$978$	18.4347	−	9.06125i	0.589476	−	0.289747i
$979$	−16.0038	−	27.7195i	−0.511485	−	0.885918i
$980$	−18.5913	−	35.8407i	−0.593876	−	1.14489i
$981$	35.9645	+	21.9499i	1.14826	+	0.700808i
$982$	3.63777	−	0.764873i	0.116086	−	0.0244081i
$983$	−9.85852	+	17.0755i	−0.314438	+	0.544623i	−0.979318	−	0.202328i	$-0.935149\pi$
$983$	−9.85852	+	17.0755i	−0.314438	+	0.544623i	0.664880	+	0.746950i	$0.268483\pi$
$984$	0.416660	+	1.14953i	0.0132826	+	0.0366458i
$985$	10.8575	−	6.26856i	0.345947	−	0.199733i
$986$	9.19131	−	1.93255i	0.292711	−	0.0615449i
$987$	−3.75893	−	12.9924i	−0.119648	−	0.413554i
$988$	−2.42344	−	5.50823i	−0.0770999	−	0.175240i
$989$	31.6852	−	54.8804i	1.00753	−	1.74510i
$990$	−9.40752	+	26.5326i	−0.298991	+	0.843261i
$991$	9.26536	−	5.34936i	0.294324	−	0.169928i	−0.345566	−	0.938394i	$-0.612313\pi$
$991$	9.26536	−	5.34936i	0.294324	−	0.169928i	0.639890	+	0.768466i	$0.278980\pi$
$992$	−8.10307	+	4.56022i	−0.257273	+	0.144787i
$993$	0.876321	+	3.43752i	0.0278092	+	0.109087i
$994$	31.5254	−	30.1351i	0.999925	−	0.955826i
$995$	51.3372	+	29.6395i	1.62750	+	0.939636i
$996$	−19.2668	+	15.0797i	−0.610491	+	0.477819i
$997$	29.2093	+	16.8640i	0.925068	+	0.534088i	0.885248	−	0.465119i	$-0.153988\pi$
$997$	29.2093	+	16.8640i	0.925068	+	0.534088i	0.0398196	+	0.999207i	$0.487322\pi$
$998$	13.5873	−	41.5064i	0.430098	−	1.31386i
$999$	9.34453	+	40.7840i	0.295648	+	1.29035i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.12	yes	84
3.2	odd	2		756.2.bj.b.523.31		84
4.3	odd	2	inner	252.2.bj.b.103.11	yes	84
7.3	odd	6		252.2.n.b.31.18	✓	84
9.2	odd	6		756.2.n.b.19.4		84
9.7	even	3		252.2.n.b.187.39	yes	84
12.11	even	2		756.2.bj.b.523.32		84
21.17	even	6		756.2.n.b.199.25		84
28.3	even	6		252.2.n.b.31.39	yes	84
36.7	odd	6		252.2.n.b.187.18	yes	84
36.11	even	6		756.2.n.b.19.25		84
63.38	even	6		756.2.bj.b.451.31		84
63.52	odd	6	inner	252.2.bj.b.115.12	yes	84
84.59	odd	6		756.2.n.b.199.4		84
252.115	even	6	inner	252.2.bj.b.115.11	yes	84
252.227	odd	6		756.2.bj.b.451.32		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.18	✓	84	7.3	odd	6
252.2.n.b.31.39	yes	84	28.3	even	6
252.2.n.b.187.18	yes	84	36.7	odd	6
252.2.n.b.187.39	yes	84	9.7	even	3
252.2.bj.b.103.11	yes	84	4.3	odd	2	inner
252.2.bj.b.103.12	yes	84	1.1	even	1	trivial
252.2.bj.b.115.11	yes	84	252.115	even	6	inner
252.2.bj.b.115.12	yes	84	63.52	odd	6	inner
756.2.n.b.19.4		84	9.2	odd	6
756.2.n.b.19.25		84	36.11	even	6
756.2.n.b.199.4		84	84.59	odd	6
756.2.n.b.199.25		84	21.17	even	6
756.2.bj.b.451.31		84	63.38	even	6
756.2.bj.b.451.32		84	252.227	odd	6
756.2.bj.b.523.31		84	3.2	odd	2
756.2.bj.b.523.32		84	12.11	even	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.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.05304 + 0.943979i) q^{2} +(-1.67837 + 0.427864i) q^{3} +(0.217806 - 1.98810i) q^{4} +(-2.49760 + 1.44199i) q^{5} +(1.36351 - 2.03491i) q^{6} +(-0.0846904 - 2.64440i) q^{7} +(1.64737 + 2.29917i) q^{8} +(2.63387 - 1.43623i) q^{9} +O(q^{10})\)	\(q+(-1.05304 + 0.943979i) q^{2} +(-1.67837 + 0.427864i) q^{3} +(0.217806 - 1.98810i) q^{4} +(-2.49760 + 1.44199i) q^{5} +(1.36351 - 2.03491i) q^{6} +(-0.0846904 - 2.64440i) q^{7} +(1.64737 + 2.29917i) q^{8} +(2.63387 - 1.43623i) q^{9} +(1.26887 - 3.87616i) q^{10} +(-1.99249 - 1.15037i) q^{11} +(0.485078 + 3.42997i) q^{12} +(4.22314 + 2.43823i) q^{13} +(2.58544 + 2.70472i) q^{14} +(3.57492 - 3.48882i) q^{15} +(-3.90512 - 0.866042i) q^{16} +(3.54408 - 2.04617i) q^{17} +(-1.41781 + 3.99873i) q^{18} +(0.308511 - 0.534357i) q^{19} +(2.32283 + 5.27956i) q^{20} +(1.27358 + 4.40204i) q^{21} +(3.18411 - 0.669485i) q^{22} +(7.29149 - 4.20975i) q^{23} +(-3.74863 - 3.15401i) q^{24} +(1.65866 - 2.87288i) q^{25} +(-6.74880 + 1.41899i) q^{26} +(-3.80610 + 3.53746i) q^{27} +(-5.27578 - 0.407592i) q^{28} +(-0.811434 - 1.40545i) q^{29} +(-0.471175 + 7.04854i) q^{30} -1.64369 q^{31} +(4.92979 - 2.77437i) q^{32} +(3.83635 + 1.07823i) q^{33} +(-1.80053 + 5.50025i) q^{34} +(4.02471 + 6.48251i) q^{35} +(-2.28170 - 5.54922i) q^{36} +(4.02614 - 6.97347i) q^{37} +(0.179546 + 0.853930i) q^{38} +(-8.13124 - 2.28533i) q^{39} +(-7.42984 - 3.36690i) q^{40} +(-0.216148 - 0.124793i) q^{41} +(-5.49658 - 3.43331i) q^{42} +(6.51826 - 3.76332i) q^{43} +(-2.72103 + 3.71073i) q^{44} +(-4.50731 + 7.38512i) q^{45} +(-3.70435 + 11.3161i) q^{46} -2.95146 q^{47} +(6.92479 - 0.217319i) q^{48} +(-6.98566 + 0.447910i) q^{49} +(0.965299 + 4.59101i) q^{50} +(-5.07280 + 4.95063i) q^{51} +(5.76729 - 7.86499i) q^{52} +(-4.57041 - 7.91618i) q^{53} +(0.668697 - 7.31798i) q^{54} +6.63526 q^{55} +(5.94039 - 4.55102i) q^{56} +(-0.289164 + 1.02885i) q^{57} +(2.18119 + 0.714019i) q^{58} -1.52507 q^{59} +(-6.15751 - 7.86721i) q^{60} -9.68187i q^{61} +(1.73088 - 1.55161i) q^{62} +(-4.02102 - 6.84335i) q^{63} +(-2.57234 + 7.57516i) q^{64} -14.0636 q^{65} +(-5.05767 + 2.48601i) q^{66} +8.17342i q^{67} +(-3.29609 - 7.49167i) q^{68} +(-10.4366 + 10.1853i) q^{69} +(-10.3576 - 3.02713i) q^{70} -11.6557i q^{71} +(7.64108 + 3.68970i) q^{72} +(-4.66559 + 2.69368i) q^{73} +(2.34311 + 11.1440i) q^{74} +(-1.55465 + 5.53144i) q^{75} +(-0.995162 - 0.729738i) q^{76} +(-2.87328 + 5.36637i) q^{77} +(10.7199 - 5.26916i) q^{78} +2.37449i q^{79} +(11.0022 - 3.46811i) q^{80} +(4.87449 - 7.56567i) q^{81} +(0.345415 - 0.0726264i) q^{82} +(3.53143 + 6.11661i) q^{83} +(9.02912 - 1.57322i) q^{84} +(-5.90112 + 10.2210i) q^{85} +(-3.31152 + 10.1160i) q^{86} +(1.96323 + 2.01168i) q^{87} +(-0.637490 - 6.47616i) q^{88} +(12.0481 + 6.95597i) q^{89} +(-2.22501 - 12.0317i) q^{90} +(6.08999 - 11.3742i) q^{91} +(-6.78129 - 15.4132i) q^{92} +(2.75873 - 0.703277i) q^{93} +(3.10802 - 2.78612i) q^{94} +1.77948i q^{95} +(-7.08697 + 6.76571i) q^{96} +(10.3880 - 5.99749i) q^{97} +(6.93339 - 7.06598i) q^{98} +(-6.90015 - 0.168234i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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